Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(215,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.215");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.f (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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 227.1 | ||
Root | \(0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.227 |
Dual form | 294.2.f.b.215.1 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 | ||||
\(3\) | −1.67303 | + | 0.448288i | −0.965926 | + | 0.258819i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.22474 | + | 2.12132i | 0.547723 | + | 0.948683i | 0.998430 | + | 0.0560116i | \(0.0178384\pi\) |
−0.450708 | + | 0.892672i | \(0.648828\pi\) | |||||||
\(6\) | 1.22474 | − | 1.22474i | 0.500000 | − | 0.500000i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.59808 | − | 1.50000i | 0.866025 | − | 0.500000i | ||||
\(10\) | −2.12132 | − | 1.22474i | −0.670820 | − | 0.387298i | ||||
\(11\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(12\) | −0.448288 | + | 1.67303i | −0.129410 | + | 0.482963i | ||||
\(13\) | 2.44949i | 0.679366i | 0.940540 | + | 0.339683i | \(0.110320\pi\) | ||||
−0.940540 | + | 0.339683i | \(0.889680\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.00000 | − | 3.00000i | −0.774597 | − | 0.774597i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.44949 | + | 4.24264i | −0.594089 | + | 1.02899i | 0.399586 | + | 0.916696i | \(0.369154\pi\) |
−0.993675 | + | 0.112296i | \(0.964180\pi\) | |||||||
\(18\) | −1.50000 | + | 2.59808i | −0.353553 | + | 0.612372i | ||||
\(19\) | −2.12132 | + | 1.22474i | −0.486664 | + | 0.280976i | −0.723190 | − | 0.690650i | \(-0.757325\pi\) |
0.236525 | + | 0.971625i | \(0.423991\pi\) | |||||||
\(20\) | 2.44949 | 0.547723 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.19615 | + | 3.00000i | −1.08347 | + | 0.625543i | −0.931831 | − | 0.362892i | \(-0.881789\pi\) |
−0.151642 | + | 0.988436i | \(0.548456\pi\) | |||||||
\(24\) | −0.448288 | − | 1.67303i | −0.0915064 | − | 0.341506i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.22474 | − | 2.12132i | −0.240192 | − | 0.416025i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.707107 | + | 0.707107i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.00000i | 1.11417i | 0.830455 | + | 0.557086i | \(0.188081\pi\) | ||||
−0.830455 | + | 0.557086i | \(0.811919\pi\) | |||||||
\(30\) | 4.09808 | + | 1.09808i | 0.748203 | + | 0.200480i | ||||
\(31\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 4.89898i | − | 0.840168i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | − | 3.00000i | − | 0.500000i | ||||||
\(37\) | 1.00000 | + | 1.73205i | 0.164399 | + | 0.284747i | 0.936442 | − | 0.350823i | \(-0.114098\pi\) |
−0.772043 | + | 0.635571i | \(0.780765\pi\) | |||||||
\(38\) | 1.22474 | − | 2.12132i | 0.198680 | − | 0.344124i | ||||
\(39\) | −1.09808 | − | 4.09808i | −0.175833 | − | 0.656217i | ||||
\(40\) | −2.12132 | + | 1.22474i | −0.335410 | + | 0.193649i | ||||
\(41\) | −4.89898 | −0.765092 | −0.382546 | − | 0.923936i | \(-0.624953\pi\) | ||||
−0.382546 | + | 0.923936i | \(0.624953\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.36396 | + | 3.67423i | 0.948683 | + | 0.547723i | ||||
\(46\) | 3.00000 | − | 5.19615i | 0.442326 | − | 0.766131i | ||||
\(47\) | −2.44949 | − | 4.24264i | −0.357295 | − | 0.618853i | 0.630213 | − | 0.776422i | \(-0.282968\pi\) |
−0.987508 | + | 0.157569i | \(0.949634\pi\) | |||||||
\(48\) | 1.22474 | + | 1.22474i | 0.176777 | + | 0.176777i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | − | 1.00000i | − | 0.141421i | ||||||
\(51\) | 2.19615 | − | 8.19615i | 0.307523 | − | 1.14769i | ||||
\(52\) | 2.12132 | + | 1.22474i | 0.294174 | + | 0.169842i | ||||
\(53\) | 5.19615 | + | 3.00000i | 0.713746 | + | 0.412082i | 0.812447 | − | 0.583036i | \(-0.198135\pi\) |
−0.0987002 | + | 0.995117i | \(0.531468\pi\) | |||||||
\(54\) | 1.34486 | − | 5.01910i | 0.183013 | − | 0.683013i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.00000 | − | 3.00000i | 0.397360 | − | 0.397360i | ||||
\(58\) | −3.00000 | − | 5.19615i | −0.393919 | − | 0.682288i | ||||
\(59\) | 6.12372 | − | 10.6066i | 0.797241 | − | 1.38086i | −0.124165 | − | 0.992262i | \(-0.539625\pi\) |
0.921406 | − | 0.388600i | \(-0.127041\pi\) | |||||||
\(60\) | −4.09808 | + | 1.09808i | −0.529059 | + | 0.141761i | ||||
\(61\) | 10.6066 | − | 6.12372i | 1.35804 | − | 0.784063i | 0.368677 | − | 0.929557i | \(-0.379811\pi\) |
0.989359 | + | 0.145495i | \(0.0464774\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −5.19615 | + | 3.00000i | −0.644503 | + | 0.372104i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | + | 6.92820i | −0.488678 | + | 0.846415i | −0.999915 | − | 0.0130248i | \(-0.995854\pi\) |
0.511237 | + | 0.859440i | \(0.329187\pi\) | |||||||
\(68\) | 2.44949 | + | 4.24264i | 0.297044 | + | 0.514496i | ||||
\(69\) | 7.34847 | − | 7.34847i | 0.884652 | − | 0.884652i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(72\) | 1.50000 | + | 2.59808i | 0.176777 | + | 0.306186i | ||||
\(73\) | 8.48528 | + | 4.89898i | 0.993127 | + | 0.573382i | 0.906208 | − | 0.422833i | \(-0.138964\pi\) |
0.0869195 | + | 0.996215i | \(0.472298\pi\) | |||||||
\(74\) | −1.73205 | − | 1.00000i | −0.201347 | − | 0.116248i | ||||
\(75\) | 0.448288 | − | 1.67303i | 0.0517638 | − | 0.193185i | ||||
\(76\) | 2.44949i | 0.280976i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.00000 | + | 3.00000i | 0.339683 | + | 0.339683i | ||||
\(79\) | 5.00000 | + | 8.66025i | 0.562544 | + | 0.974355i | 0.997274 | + | 0.0737937i | \(0.0235106\pi\) |
−0.434730 | + | 0.900561i | \(0.643156\pi\) | |||||||
\(80\) | 1.22474 | − | 2.12132i | 0.136931 | − | 0.237171i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.500000 | − | 0.866025i | ||||
\(82\) | 4.24264 | − | 2.44949i | 0.468521 | − | 0.270501i | ||||
\(83\) | 2.44949 | 0.268866 | 0.134433 | − | 0.990923i | \(-0.457079\pi\) | ||||
0.134433 | + | 0.990923i | \(0.457079\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.0000 | −1.30158 | ||||||||
\(86\) | −3.46410 | + | 2.00000i | −0.373544 | + | 0.215666i | ||||
\(87\) | −2.68973 | − | 10.0382i | −0.288369 | − | 1.07621i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | −7.34847 | −0.774597 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.00000i | 0.625543i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.24264 | + | 2.44949i | 0.437595 | + | 0.252646i | ||||
\(95\) | −5.19615 | − | 3.00000i | −0.533114 | − | 0.307794i | ||||
\(96\) | −1.67303 | − | 0.448288i | −0.170753 | − | 0.0457532i | ||||
\(97\) | − | 4.89898i | − | 0.497416i | −0.968579 | − | 0.248708i | \(-0.919994\pi\) | ||
0.968579 | − | 0.248708i | \(-0.0800060\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −3.67423 | + | 6.36396i | −0.365600 | + | 0.633238i | −0.988872 | − | 0.148767i | \(-0.952470\pi\) |
0.623272 | + | 0.782005i | \(0.285803\pi\) | |||||||
\(102\) | 2.19615 | + | 8.19615i | 0.217451 | + | 0.811540i | ||||
\(103\) | −8.48528 | + | 4.89898i | −0.836080 | + | 0.482711i | −0.855930 | − | 0.517092i | \(-0.827014\pi\) |
0.0198501 | + | 0.999803i | \(0.493681\pi\) | |||||||
\(104\) | −2.44949 | −0.240192 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.00000 | −0.582772 | ||||||||
\(107\) | 10.3923 | − | 6.00000i | 1.00466 | − | 0.580042i | 0.0950377 | − | 0.995474i | \(-0.469703\pi\) |
0.909624 | + | 0.415432i | \(0.136370\pi\) | |||||||
\(108\) | 1.34486 | + | 5.01910i | 0.129410 | + | 0.482963i | ||||
\(109\) | −5.00000 | + | 8.66025i | −0.478913 | + | 0.829502i | −0.999708 | − | 0.0241802i | \(-0.992302\pi\) |
0.520794 | + | 0.853682i | \(0.325636\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.44949 | − | 2.44949i | −0.232495 | − | 0.232495i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 6.00000i | − | 0.564433i | −0.959351 | − | 0.282216i | \(-0.908930\pi\) | ||
0.959351 | − | 0.282216i | \(-0.0910696\pi\) | |||||||
\(114\) | −1.09808 | + | 4.09808i | −0.102844 | + | 0.383820i | ||||
\(115\) | −12.7279 | − | 7.34847i | −1.18688 | − | 0.685248i | ||||
\(116\) | 5.19615 | + | 3.00000i | 0.482451 | + | 0.278543i | ||||
\(117\) | 3.67423 | + | 6.36396i | 0.339683 | + | 0.588348i | ||||
\(118\) | 12.2474i | 1.12747i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.00000 | − | 3.00000i | 0.273861 | − | 0.273861i | ||||
\(121\) | −5.50000 | − | 9.52628i | −0.500000 | − | 0.866025i | ||||
\(122\) | −6.12372 | + | 10.6066i | −0.554416 | + | 0.960277i | ||||
\(123\) | 8.19615 | − | 2.19615i | 0.739022 | − | 0.198020i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.79796 | 0.876356 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.00000 | 0.709885 | 0.354943 | − | 0.934888i | \(-0.384500\pi\) | ||||
0.354943 | + | 0.934888i | \(0.384500\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −6.69213 | + | 1.79315i | −0.589209 | + | 0.157878i | ||||
\(130\) | 3.00000 | − | 5.19615i | 0.263117 | − | 0.455733i | ||||
\(131\) | −3.67423 | − | 6.36396i | −0.321019 | − | 0.556022i | 0.659679 | − | 0.751547i | \(-0.270692\pi\) |
−0.980699 | + | 0.195525i | \(0.937359\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 8.00000i | − | 0.691095i | ||||||
\(135\) | −12.2942 | − | 3.29423i | −1.05812 | − | 0.283522i | ||||
\(136\) | −4.24264 | − | 2.44949i | −0.363803 | − | 0.210042i | ||||
\(137\) | −10.3923 | − | 6.00000i | −0.887875 | − | 0.512615i | −0.0146279 | − | 0.999893i | \(-0.504656\pi\) |
−0.873247 | + | 0.487278i | \(0.837990\pi\) | |||||||
\(138\) | −2.68973 | + | 10.0382i | −0.228965 | + | 0.854508i | ||||
\(139\) | − | 2.44949i | − | 0.207763i | −0.994590 | − | 0.103882i | \(-0.966874\pi\) | ||
0.994590 | − | 0.103882i | \(-0.0331263\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.00000 | + | 6.00000i | 0.505291 | + | 0.505291i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.59808 | − | 1.50000i | −0.216506 | − | 0.125000i | ||||
\(145\) | −12.7279 | + | 7.34847i | −1.05700 | + | 0.610257i | ||||
\(146\) | −9.79796 | −0.810885 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.00000 | 0.164399 | ||||||||
\(149\) | 5.19615 | − | 3.00000i | 0.425685 | − | 0.245770i | −0.271821 | − | 0.962348i | \(-0.587626\pi\) |
0.697507 | + | 0.716578i | \(0.254293\pi\) | |||||||
\(150\) | 0.448288 | + | 1.67303i | 0.0366025 | + | 0.136603i | ||||
\(151\) | 4.00000 | − | 6.92820i | 0.325515 | − | 0.563809i | −0.656101 | − | 0.754673i | \(-0.727796\pi\) |
0.981617 | + | 0.190864i | \(0.0611289\pi\) | |||||||
\(152\) | −1.22474 | − | 2.12132i | −0.0993399 | − | 0.172062i | ||||
\(153\) | 14.6969i | 1.18818i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.09808 | − | 1.09808i | −0.328109 | − | 0.0879165i | ||||
\(157\) | −6.36396 | − | 3.67423i | −0.507899 | − | 0.293236i | 0.224070 | − | 0.974573i | \(-0.428065\pi\) |
−0.731970 | + | 0.681337i | \(0.761399\pi\) | |||||||
\(158\) | −8.66025 | − | 5.00000i | −0.688973 | − | 0.397779i | ||||
\(159\) | −10.0382 | − | 2.68973i | −0.796081 | − | 0.213309i | ||||
\(160\) | 2.44949i | 0.193649i | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000i | 0.707107i | ||||||||
\(163\) | 8.00000 | + | 13.8564i | 0.626608 | + | 1.08532i | 0.988227 | + | 0.152992i | \(0.0488907\pi\) |
−0.361619 | + | 0.932326i | \(0.617776\pi\) | |||||||
\(164\) | −2.44949 | + | 4.24264i | −0.191273 | + | 0.331295i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.12132 | + | 1.22474i | −0.164646 | + | 0.0950586i | ||||
\(167\) | 4.89898 | 0.379094 | 0.189547 | − | 0.981872i | \(-0.439298\pi\) | ||||
0.189547 | + | 0.981872i | \(0.439298\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.00000 | 0.538462 | ||||||||
\(170\) | 10.3923 | − | 6.00000i | 0.797053 | − | 0.460179i | ||||
\(171\) | −3.67423 | + | 6.36396i | −0.280976 | + | 0.486664i | ||||
\(172\) | 2.00000 | − | 3.46410i | 0.152499 | − | 0.264135i | ||||
\(173\) | 11.0227 | + | 19.0919i | 0.838041 | + | 1.45153i | 0.891531 | + | 0.452961i | \(0.149632\pi\) |
−0.0534899 | + | 0.998568i | \(0.517034\pi\) | |||||||
\(174\) | 7.34847 | + | 7.34847i | 0.557086 | + | 0.557086i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.49038 | + | 20.4904i | −0.412682 | + | 1.54015i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 20.7846 | + | 12.0000i | 1.55351 | + | 0.896922i | 0.997852 | + | 0.0655145i | \(0.0208689\pi\) |
0.555663 | + | 0.831408i | \(0.312464\pi\) | |||||||
\(180\) | 6.36396 | − | 3.67423i | 0.474342 | − | 0.273861i | ||||
\(181\) | − | 12.2474i | − | 0.910346i | −0.890403 | − | 0.455173i | \(-0.849577\pi\) | ||
0.890403 | − | 0.455173i | \(-0.150423\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.0000 | + | 15.0000i | −1.10883 | + | 1.10883i | ||||
\(184\) | −3.00000 | − | 5.19615i | −0.221163 | − | 0.383065i | ||||
\(185\) | −2.44949 | + | 4.24264i | −0.180090 | + | 0.311925i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.89898 | −0.357295 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.00000 | 0.435286 | ||||||||
\(191\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(192\) | 1.67303 | − | 0.448288i | 0.120741 | − | 0.0323524i | ||||
\(193\) | −2.00000 | + | 3.46410i | −0.143963 | + | 0.249351i | −0.928986 | − | 0.370116i | \(-0.879318\pi\) |
0.785022 | + | 0.619467i | \(0.212651\pi\) | |||||||
\(194\) | 2.44949 | + | 4.24264i | 0.175863 | + | 0.304604i | ||||
\(195\) | 7.34847 | − | 7.34847i | 0.526235 | − | 0.526235i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 18.0000i | − | 1.28245i | −0.767354 | − | 0.641223i | \(-0.778427\pi\) | ||
0.767354 | − | 0.641223i | \(-0.221573\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.48528 | − | 4.89898i | −0.601506 | − | 0.347279i | 0.168128 | − | 0.985765i | \(-0.446228\pi\) |
−0.769634 | + | 0.638486i | \(0.779561\pi\) | |||||||
\(200\) | −0.866025 | − | 0.500000i | −0.0612372 | − | 0.0353553i | ||||
\(201\) | 3.58630 | − | 13.3843i | 0.252958 | − | 0.944053i | ||||
\(202\) | − | 7.34847i | − | 0.517036i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −6.00000 | − | 6.00000i | −0.420084 | − | 0.420084i | ||||
\(205\) | −6.00000 | − | 10.3923i | −0.419058 | − | 0.725830i | ||||
\(206\) | 4.89898 | − | 8.48528i | 0.341328 | − | 0.591198i | ||||
\(207\) | −9.00000 | + | 15.5885i | −0.625543 | + | 1.08347i | ||||
\(208\) | 2.12132 | − | 1.22474i | 0.147087 | − | 0.0849208i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.00000 | −0.550743 | −0.275371 | − | 0.961338i | \(-0.588801\pi\) | ||||
−0.275371 | + | 0.961338i | \(0.588801\pi\) | |||||||
\(212\) | 5.19615 | − | 3.00000i | 0.356873 | − | 0.206041i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.00000 | + | 10.3923i | −0.410152 | + | 0.710403i | ||||
\(215\) | 4.89898 | + | 8.48528i | 0.334108 | + | 0.578691i | ||||
\(216\) | −3.67423 | − | 3.67423i | −0.250000 | − | 0.250000i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 10.0000i | − | 0.677285i | ||||||
\(219\) | −16.3923 | − | 4.39230i | −1.10769 | − | 0.296804i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.3923 | − | 6.00000i | −0.699062 | − | 0.403604i | ||||
\(222\) | 3.34607 | + | 0.896575i | 0.224573 | + | 0.0601742i | ||||
\(223\) | 14.6969i | 0.984180i | 0.870544 | + | 0.492090i | \(0.163767\pi\) | ||||
−0.870544 | + | 0.492090i | \(0.836233\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.00000i | 0.200000i | ||||||||
\(226\) | 3.00000 | + | 5.19615i | 0.199557 | + | 0.345643i | ||||
\(227\) | 3.67423 | − | 6.36396i | 0.243868 | − | 0.422391i | −0.717945 | − | 0.696100i | \(-0.754917\pi\) |
0.961813 | + | 0.273709i | \(0.0882505\pi\) | |||||||
\(228\) | −1.09808 | − | 4.09808i | −0.0727219 | − | 0.271402i | ||||
\(229\) | 19.0919 | − | 11.0227i | 1.26163 | − | 0.728401i | 0.288238 | − | 0.957559i | \(-0.406931\pi\) |
0.973389 | + | 0.229158i | \(0.0735973\pi\) | |||||||
\(230\) | 14.6969 | 0.969087 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.00000 | −0.393919 | ||||||||
\(233\) | 20.7846 | − | 12.0000i | 1.36165 | − | 0.786146i | 0.371802 | − | 0.928312i | \(-0.378740\pi\) |
0.989843 | + | 0.142166i | \(0.0454066\pi\) | |||||||
\(234\) | −6.36396 | − | 3.67423i | −0.416025 | − | 0.240192i | ||||
\(235\) | 6.00000 | − | 10.3923i | 0.391397 | − | 0.677919i | ||||
\(236\) | −6.12372 | − | 10.6066i | −0.398621 | − | 0.690431i | ||||
\(237\) | −12.2474 | − | 12.2474i | −0.795557 | − | 0.795557i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.00000i | 0.388108i | 0.980991 | + | 0.194054i | \(0.0621637\pi\) | ||||
−0.980991 | + | 0.194054i | \(0.937836\pi\) | |||||||
\(240\) | −1.09808 | + | 4.09808i | −0.0708805 | + | 0.264530i | ||||
\(241\) | 21.2132 | + | 12.2474i | 1.36646 | + | 0.788928i | 0.990474 | − | 0.137697i | \(-0.0439700\pi\) |
0.375988 | + | 0.926624i | \(0.377303\pi\) | |||||||
\(242\) | 9.52628 | + | 5.50000i | 0.612372 | + | 0.353553i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.258819 | + | 0.965926i | ||||
\(244\) | − | 12.2474i | − | 0.784063i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −6.00000 | + | 6.00000i | −0.382546 | + | 0.382546i | ||||
\(247\) | −3.00000 | − | 5.19615i | −0.190885 | − | 0.330623i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.09808 | + | 1.09808i | −0.259705 | + | 0.0695878i | ||||
\(250\) | −8.48528 | + | 4.89898i | −0.536656 | + | 0.309839i | ||||
\(251\) | −17.1464 | −1.08227 | −0.541136 | − | 0.840935i | \(-0.682006\pi\) | ||||
−0.541136 | + | 0.840935i | \(0.682006\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −6.92820 | + | 4.00000i | −0.434714 | + | 0.250982i | ||||
\(255\) | 20.0764 | − | 5.37945i | 1.25723 | − | 0.336874i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −14.6969 | − | 25.4558i | −0.916770 | − | 1.58789i | −0.804289 | − | 0.594238i | \(-0.797454\pi\) |
−0.112481 | − | 0.993654i | \(-0.535880\pi\) | |||||||
\(258\) | 4.89898 | − | 4.89898i | 0.304997 | − | 0.304997i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.00000i | 0.372104i | ||||||||
\(261\) | 9.00000 | + | 15.5885i | 0.557086 | + | 0.964901i | ||||
\(262\) | 6.36396 | + | 3.67423i | 0.393167 | + | 0.226995i | ||||
\(263\) | −20.7846 | − | 12.0000i | −1.28163 | − | 0.739952i | −0.304487 | − | 0.952517i | \(-0.598485\pi\) |
−0.977147 | + | 0.212565i | \(0.931818\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.6969i | 0.902826i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.00000 | + | 6.92820i | 0.244339 | + | 0.423207i | ||||
\(269\) | 6.12372 | − | 10.6066i | 0.373370 | − | 0.646696i | −0.616712 | − | 0.787189i | \(-0.711536\pi\) |
0.990082 | + | 0.140493i | \(0.0448688\pi\) | |||||||
\(270\) | 12.2942 | − | 3.29423i | 0.748203 | − | 0.200480i | ||||
\(271\) | 21.2132 | − | 12.2474i | 1.28861 | − | 0.743980i | 0.310204 | − | 0.950670i | \(-0.399603\pi\) |
0.978406 | + | 0.206691i | \(0.0662693\pi\) | |||||||
\(272\) | 4.89898 | 0.297044 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.0000 | 0.724947 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.68973 | − | 10.0382i | −0.161903 | − | 0.604228i | ||||
\(277\) | 11.0000 | − | 19.0526i | 0.660926 | − | 1.14476i | −0.319447 | − | 0.947604i | \(-0.603497\pi\) |
0.980373 | − | 0.197153i | \(-0.0631696\pi\) | |||||||
\(278\) | 1.22474 | + | 2.12132i | 0.0734553 | + | 0.127228i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(282\) | −8.19615 | − | 2.19615i | −0.488074 | − | 0.130779i | ||||
\(283\) | 19.0919 | + | 11.0227i | 1.13489 | + | 0.655232i | 0.945161 | − | 0.326604i | \(-0.105904\pi\) |
0.189733 | + | 0.981836i | \(0.439238\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 10.0382 | + | 2.68973i | 0.594611 | + | 0.159326i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.00000 | 0.176777 | ||||||||
\(289\) | −3.50000 | − | 6.06218i | −0.205882 | − | 0.356599i | ||||
\(290\) | 7.34847 | − | 12.7279i | 0.431517 | − | 0.747409i | ||||
\(291\) | 2.19615 | + | 8.19615i | 0.128741 | + | 0.480467i | ||||
\(292\) | 8.48528 | − | 4.89898i | 0.496564 | − | 0.286691i | ||||
\(293\) | 2.44949 | 0.143101 | 0.0715504 | − | 0.997437i | \(-0.477205\pi\) | ||||
0.0715504 | + | 0.997437i | \(0.477205\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 30.0000 | 1.74667 | ||||||||
\(296\) | −1.73205 | + | 1.00000i | −0.100673 | + | 0.0581238i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.00000 | + | 5.19615i | −0.173785 | + | 0.301005i | ||||
\(299\) | −7.34847 | − | 12.7279i | −0.424973 | − | 0.736075i | ||||
\(300\) | −1.22474 | − | 1.22474i | −0.0707107 | − | 0.0707107i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.00000i | 0.460348i | ||||||||
\(303\) | 3.29423 | − | 12.2942i | 0.189248 | − | 0.706285i | ||||
\(304\) | 2.12132 | + | 1.22474i | 0.121666 | + | 0.0702439i | ||||
\(305\) | 25.9808 | + | 15.0000i | 1.48765 | + | 0.858898i | ||||
\(306\) | −7.34847 | − | 12.7279i | −0.420084 | − | 0.727607i | ||||
\(307\) | 7.34847i | 0.419399i | 0.977766 | + | 0.209700i | \(0.0672486\pi\) | ||||
−0.977766 | + | 0.209700i | \(0.932751\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 12.0000 | − | 12.0000i | 0.682656 | − | 0.682656i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.79796 | + | 16.9706i | −0.555591 | + | 0.962312i | 0.442266 | + | 0.896884i | \(0.354175\pi\) |
−0.997857 | + | 0.0654284i | \(0.979159\pi\) | |||||||
\(312\) | 4.09808 | − | 1.09808i | 0.232008 | − | 0.0621663i | ||||
\(313\) | −29.6985 | + | 17.1464i | −1.67866 | + | 0.969173i | −0.716139 | + | 0.697958i | \(0.754092\pi\) |
−0.962519 | + | 0.271216i | \(0.912574\pi\) | |||||||
\(314\) | 7.34847 | 0.414698 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.0000 | 0.562544 | ||||||||
\(317\) | −15.5885 | + | 9.00000i | −0.875535 | + | 0.505490i | −0.869184 | − | 0.494489i | \(-0.835355\pi\) |
−0.00635137 | + | 0.999980i | \(0.502022\pi\) | |||||||
\(318\) | 10.0382 | − | 2.68973i | 0.562914 | − | 0.150832i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.22474 | − | 2.12132i | −0.0684653 | − | 0.118585i | ||||
\(321\) | −14.6969 | + | 14.6969i | −0.820303 | + | 0.820303i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 12.0000i | − | 0.667698i | ||||||
\(324\) | −4.50000 | − | 7.79423i | −0.250000 | − | 0.433013i | ||||
\(325\) | −2.12132 | − | 1.22474i | −0.117670 | − | 0.0679366i | ||||
\(326\) | −13.8564 | − | 8.00000i | −0.767435 | − | 0.443079i | ||||
\(327\) | 4.48288 | − | 16.7303i | 0.247904 | − | 0.925189i | ||||
\(328\) | − | 4.89898i | − | 0.270501i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.00000 | + | 6.92820i | 0.219860 | + | 0.380808i | 0.954765 | − | 0.297361i | \(-0.0961066\pi\) |
−0.734905 | + | 0.678170i | \(0.762773\pi\) | |||||||
\(332\) | 1.22474 | − | 2.12132i | 0.0672166 | − | 0.116423i | ||||
\(333\) | 5.19615 | + | 3.00000i | 0.284747 | + | 0.164399i | ||||
\(334\) | −4.24264 | + | 2.44949i | −0.232147 | + | 0.134030i | ||||
\(335\) | −19.5959 | −1.07064 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −32.0000 | −1.74315 | −0.871576 | − | 0.490261i | \(-0.836901\pi\) | ||||
−0.871576 | + | 0.490261i | \(0.836901\pi\) | |||||||
\(338\) | −6.06218 | + | 3.50000i | −0.329739 | + | 0.190375i | ||||
\(339\) | 2.68973 | + | 10.0382i | 0.146086 | + | 0.545200i | ||||
\(340\) | −6.00000 | + | 10.3923i | −0.325396 | + | 0.563602i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 7.34847i | − | 0.397360i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.00000i | 0.215666i | ||||||||
\(345\) | 24.5885 | + | 6.58846i | 1.32380 | + | 0.354711i | ||||
\(346\) | −19.0919 | − | 11.0227i | −1.02639 | − | 0.592584i | ||||
\(347\) | −10.3923 | − | 6.00000i | −0.557888 | − | 0.322097i | 0.194409 | − | 0.980921i | \(-0.437721\pi\) |
−0.752297 | + | 0.658824i | \(0.771054\pi\) | |||||||
\(348\) | −10.0382 | − | 2.68973i | −0.538104 | − | 0.144184i | ||||
\(349\) | − | 2.44949i | − | 0.131118i | −0.997849 | − | 0.0655591i | \(-0.979117\pi\) | ||
0.997849 | − | 0.0655591i | \(-0.0208831\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.00000 | − | 9.00000i | −0.480384 | − | 0.480384i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.89898 | − | 8.48528i | 0.260746 | − | 0.451626i | −0.705694 | − | 0.708517i | \(-0.749365\pi\) |
0.966440 | + | 0.256891i | \(0.0826980\pi\) | |||||||
\(354\) | −5.49038 | − | 20.4904i | −0.291810 | − | 1.08905i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −24.0000 | −1.26844 | ||||||||
\(359\) | 5.19615 | − | 3.00000i | 0.274242 | − | 0.158334i | −0.356572 | − | 0.934268i | \(-0.616054\pi\) |
0.630814 | + | 0.775934i | \(0.282721\pi\) | |||||||
\(360\) | −3.67423 | + | 6.36396i | −0.193649 | + | 0.335410i | ||||
\(361\) | −6.50000 | + | 11.2583i | −0.342105 | + | 0.592544i | ||||
\(362\) | 6.12372 | + | 10.6066i | 0.321856 | + | 0.557471i | ||||
\(363\) | 13.4722 | + | 13.4722i | 0.707107 | + | 0.707107i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 24.0000i | 1.25622i | ||||||||
\(366\) | 5.49038 | − | 20.4904i | 0.286987 | − | 1.07105i | ||||
\(367\) | 4.24264 | + | 2.44949i | 0.221464 | + | 0.127862i | 0.606628 | − | 0.794986i | \(-0.292522\pi\) |
−0.385164 | + | 0.922848i | \(0.625855\pi\) | |||||||
\(368\) | 5.19615 | + | 3.00000i | 0.270868 | + | 0.156386i | ||||
\(369\) | −12.7279 | + | 7.34847i | −0.662589 | + | 0.382546i | ||||
\(370\) | − | 4.89898i | − | 0.254686i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.00000 | − | 12.1244i | −0.362446 | − | 0.627775i | 0.625917 | − | 0.779890i | \(-0.284725\pi\) |
−0.988363 | + | 0.152115i | \(0.951392\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.3923 | + | 4.39230i | −0.846495 | + | 0.226818i | ||||
\(376\) | 4.24264 | − | 2.44949i | 0.218797 | − | 0.126323i | ||||
\(377\) | −14.6969 | −0.756931 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.0000 | −1.02733 | −0.513665 | − | 0.857991i | \(-0.671713\pi\) | ||||
−0.513665 | + | 0.857991i | \(0.671713\pi\) | |||||||
\(380\) | −5.19615 | + | 3.00000i | −0.266557 | + | 0.153897i | ||||
\(381\) | −13.3843 | + | 3.58630i | −0.685696 | + | 0.183732i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 17.1464 | + | 29.6985i | 0.876142 | + | 1.51752i | 0.855542 | + | 0.517734i | \(0.173224\pi\) |
0.0205998 | + | 0.999788i | \(0.493442\pi\) | |||||||
\(384\) | −1.22474 | + | 1.22474i | −0.0625000 | + | 0.0625000i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 4.00000i | − | 0.203595i | ||||||
\(387\) | 10.3923 | − | 6.00000i | 0.528271 | − | 0.304997i | ||||
\(388\) | −4.24264 | − | 2.44949i | −0.215387 | − | 0.124354i | ||||
\(389\) | −5.19615 | − | 3.00000i | −0.263455 | − | 0.152106i | 0.362454 | − | 0.932002i | \(-0.381939\pi\) |
−0.625910 | + | 0.779895i | \(0.715272\pi\) | |||||||
\(390\) | −2.68973 | + | 10.0382i | −0.136200 | + | 0.508304i | ||||
\(391\) | − | 29.3939i | − | 1.48651i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.00000 | + | 9.00000i | 0.453990 | + | 0.453990i | ||||
\(394\) | 9.00000 | + | 15.5885i | 0.453413 | + | 0.785335i | ||||
\(395\) | −12.2474 | + | 21.2132i | −0.616236 | + | 1.06735i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.36396 | − | 3.67423i | 0.319398 | − | 0.184405i | −0.331726 | − | 0.943376i | \(-0.607631\pi\) |
0.651124 | + | 0.758971i | \(0.274298\pi\) | |||||||
\(398\) | 9.79796 | 0.491127 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −25.9808 | + | 15.0000i | −1.29742 | + | 0.749064i | −0.979957 | − | 0.199207i | \(-0.936163\pi\) |
−0.317460 | + | 0.948272i | \(0.602830\pi\) | |||||||
\(402\) | 3.58630 | + | 13.3843i | 0.178868 | + | 0.667546i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 3.67423 | + | 6.36396i | 0.182800 | + | 0.316619i | ||||
\(405\) | 22.0454 | 1.09545 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 8.19615 | + | 2.19615i | 0.405770 | + | 0.108726i | ||||
\(409\) | −29.6985 | − | 17.1464i | −1.46850 | − | 0.847836i | −0.469119 | − | 0.883135i | \(-0.655428\pi\) |
−0.999377 | + | 0.0352988i | \(0.988762\pi\) | |||||||
\(410\) | 10.3923 | + | 6.00000i | 0.513239 | + | 0.296319i | ||||
\(411\) | 20.0764 | + | 5.37945i | 0.990295 | + | 0.265349i | ||||
\(412\) | 9.79796i | 0.482711i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | − | 18.0000i | − | 0.884652i | ||||||
\(415\) | 3.00000 | + | 5.19615i | 0.147264 | + | 0.255069i | ||||
\(416\) | −1.22474 | + | 2.12132i | −0.0600481 | + | 0.104006i | ||||
\(417\) | 1.09808 | + | 4.09808i | 0.0537730 | + | 0.200684i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.2474 | 0.598327 | 0.299164 | − | 0.954202i | \(-0.403292\pi\) | ||||
0.299164 | + | 0.954202i | \(0.403292\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.00000 | 0.0974740 | 0.0487370 | − | 0.998812i | \(-0.484480\pi\) | ||||
0.0487370 | + | 0.998812i | \(0.484480\pi\) | |||||||
\(422\) | 6.92820 | − | 4.00000i | 0.337260 | − | 0.194717i | ||||
\(423\) | −12.7279 | − | 7.34847i | −0.618853 | − | 0.357295i | ||||
\(424\) | −3.00000 | + | 5.19615i | −0.145693 | + | 0.252347i | ||||
\(425\) | −2.44949 | − | 4.24264i | −0.118818 | − | 0.205798i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 12.0000i | − | 0.580042i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.48528 | − | 4.89898i | −0.409197 | − | 0.236250i | ||||
\(431\) | 25.9808 | + | 15.0000i | 1.25145 | + | 0.722525i | 0.971397 | − | 0.237460i | \(-0.0763149\pi\) |
0.280052 | + | 0.959985i | \(0.409648\pi\) | |||||||
\(432\) | 5.01910 | + | 1.34486i | 0.241481 | + | 0.0647048i | ||||
\(433\) | 14.6969i | 0.706290i | 0.935569 | + | 0.353145i | \(0.114888\pi\) | ||||
−0.935569 | + | 0.353145i | \(0.885112\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 18.0000 | − | 18.0000i | 0.863034 | − | 0.863034i | ||||
\(436\) | 5.00000 | + | 8.66025i | 0.239457 | + | 0.414751i | ||||
\(437\) | 7.34847 | − | 12.7279i | 0.351525 | − | 0.608859i | ||||
\(438\) | 16.3923 | − | 4.39230i | 0.783255 | − | 0.209872i | ||||
\(439\) | −12.7279 | + | 7.34847i | −0.607471 | + | 0.350723i | −0.771975 | − | 0.635653i | \(-0.780731\pi\) |
0.164504 | + | 0.986376i | \(0.447398\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.0000 | 0.570782 | ||||||||
\(443\) | −31.1769 | + | 18.0000i | −1.48126 | + | 0.855206i | −0.999774 | − | 0.0212481i | \(-0.993236\pi\) |
−0.481486 | + | 0.876454i | \(0.659903\pi\) | |||||||
\(444\) | −3.34607 | + | 0.896575i | −0.158797 | + | 0.0425496i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −7.34847 | − | 12.7279i | −0.347960 | − | 0.602685i | ||||
\(447\) | −7.34847 | + | 7.34847i | −0.347571 | + | 0.347571i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 36.0000i | 1.69895i | 0.527633 | + | 0.849473i | \(0.323080\pi\) | ||||
−0.527633 | + | 0.849473i | \(0.676920\pi\) | |||||||
\(450\) | −1.50000 | − | 2.59808i | −0.0707107 | − | 0.122474i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −5.19615 | − | 3.00000i | −0.244406 | − | 0.141108i | ||||
\(453\) | −3.58630 | + | 13.3843i | −0.168499 | + | 0.628847i | ||||
\(454\) | 7.34847i | 0.344881i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.00000 | + | 3.00000i | 0.140488 | + | 0.140488i | ||||
\(457\) | −14.0000 | − | 24.2487i | −0.654892 | − | 1.13431i | −0.981921 | − | 0.189292i | \(-0.939381\pi\) |
0.327028 | − | 0.945015i | \(-0.393953\pi\) | |||||||
\(458\) | −11.0227 | + | 19.0919i | −0.515057 | + | 0.892105i | ||||
\(459\) | −6.58846 | − | 24.5885i | −0.307523 | − | 1.14769i | ||||
\(460\) | −12.7279 | + | 7.34847i | −0.593442 | + | 0.342624i | ||||
\(461\) | 31.8434 | 1.48309 | 0.741547 | − | 0.670901i | \(-0.234093\pi\) | ||||
0.741547 | + | 0.670901i | \(0.234093\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.0000 | 0.650635 | 0.325318 | − | 0.945605i | \(-0.394529\pi\) | ||||
0.325318 | + | 0.945605i | \(0.394529\pi\) | |||||||
\(464\) | 5.19615 | − | 3.00000i | 0.241225 | − | 0.139272i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0000 | + | 20.7846i | −0.555889 | + | 0.962828i | ||||
\(467\) | 3.67423 | + | 6.36396i | 0.170023 | + | 0.294489i | 0.938428 | − | 0.345476i | \(-0.112282\pi\) |
−0.768404 | + | 0.639965i | \(0.778949\pi\) | |||||||
\(468\) | 7.34847 | 0.339683 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 12.0000i | 0.553519i | ||||||||
\(471\) | 12.2942 | + | 3.29423i | 0.566488 | + | 0.151790i | ||||
\(472\) | 10.6066 | + | 6.12372i | 0.488208 | + | 0.281867i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 16.7303 | + | 4.48288i | 0.768449 | + | 0.205905i | ||||
\(475\) | − | 2.44949i | − | 0.112390i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.0000 | 0.824163 | ||||||||
\(478\) | −3.00000 | − | 5.19615i | −0.137217 | − | 0.237666i | ||||
\(479\) | −12.2474 | + | 21.2132i | −0.559600 | + | 0.969256i | 0.437929 | + | 0.899009i | \(0.355712\pi\) |
−0.997530 | + | 0.0702467i | \(0.977621\pi\) | |||||||
\(480\) | −1.09808 | − | 4.09808i | −0.0501201 | − | 0.187051i | ||||
\(481\) | −4.24264 | + | 2.44949i | −0.193448 | + | 0.111687i | ||||
\(482\) | −24.4949 | −1.11571 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.0000 | −0.500000 | ||||||||
\(485\) | 10.3923 | − | 6.00000i | 0.471890 | − | 0.272446i | ||||
\(486\) | −4.03459 | − | 15.0573i | −0.183013 | − | 0.683013i | ||||
\(487\) | 16.0000 | − | 27.7128i | 0.725029 | − | 1.25579i | −0.233933 | − | 0.972253i | \(-0.575160\pi\) |
0.958962 | − | 0.283535i | \(-0.0915071\pi\) | |||||||
\(488\) | 6.12372 | + | 10.6066i | 0.277208 | + | 0.480138i | ||||
\(489\) | −19.5959 | − | 19.5959i | −0.886158 | − | 0.886158i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(492\) | 2.19615 | − | 8.19615i | 0.0990102 | − | 0.369511i | ||||
\(493\) | −25.4558 | − | 14.6969i | −1.14647 | − | 0.661917i | ||||
\(494\) | 5.19615 | + | 3.00000i | 0.233786 | + | 0.134976i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.00000 | − | 3.00000i | 0.134433 | − | 0.134433i | ||||
\(499\) | 10.0000 | + | 17.3205i | 0.447661 | + | 0.775372i | 0.998233 | − | 0.0594153i | \(-0.0189236\pi\) |
−0.550572 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(500\) | 4.89898 | − | 8.48528i | 0.219089 | − | 0.379473i | ||||
\(501\) | −8.19615 | + | 2.19615i | −0.366177 | + | 0.0981169i | ||||
\(502\) | 14.8492 | − | 8.57321i | 0.662754 | − | 0.382641i | ||||
\(503\) | 39.1918 | 1.74748 | 0.873739 | − | 0.486395i | \(-0.161689\pi\) | ||||
0.873739 | + | 0.486395i | \(0.161689\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.0000 | −0.800989 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.7112 | + | 3.13801i | −0.520114 | + | 0.139364i | ||||
\(508\) | 4.00000 | − | 6.92820i | 0.177471 | − | 0.307389i | ||||
\(509\) | 6.12372 | + | 10.6066i | 0.271429 | + | 0.470129i | 0.969228 | − | 0.246165i | \(-0.0791704\pi\) |
−0.697799 | + | 0.716294i | \(0.745837\pi\) | |||||||
\(510\) | −14.6969 | + | 14.6969i | −0.650791 | + | 0.650791i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 3.29423 | − | 12.2942i | 0.145444 | − | 0.542803i | ||||
\(514\) | 25.4558 | + | 14.6969i | 1.12281 | + | 0.648254i | ||||
\(515\) | −20.7846 | − | 12.0000i | −0.915879 | − | 0.528783i | ||||
\(516\) | −1.79315 | + | 6.69213i | −0.0789391 | + | 0.294605i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −27.0000 | − | 27.0000i | −1.18517 | − | 1.18517i | ||||
\(520\) | −3.00000 | − | 5.19615i | −0.131559 | − | 0.227866i | ||||
\(521\) | 2.44949 | − | 4.24264i | 0.107314 | − | 0.185873i | −0.807367 | − | 0.590049i | \(-0.799108\pi\) |
0.914681 | + | 0.404176i | \(0.132442\pi\) | |||||||
\(522\) | −15.5885 | − | 9.00000i | −0.682288 | − | 0.393919i | ||||
\(523\) | 2.12132 | − | 1.22474i | 0.0927589 | − | 0.0535544i | −0.452903 | − | 0.891560i | \(-0.649612\pi\) |
0.545662 | + | 0.838005i | \(0.316278\pi\) | |||||||
\(524\) | −7.34847 | −0.321019 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.0000 | 1.04645 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.50000 | − | 11.2583i | 0.282609 | − | 0.489493i | ||||
\(530\) | −7.34847 | − | 12.7279i | −0.319197 | − | 0.552866i | ||||
\(531\) | − | 36.7423i | − | 1.59448i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 12.0000i | − | 0.519778i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.4558 | + | 14.6969i | 1.10055 | + | 0.635404i | ||||
\(536\) | −6.92820 | − | 4.00000i | −0.299253 | − | 0.172774i | ||||
\(537\) | −40.1528 | − | 10.7589i | −1.73272 | − | 0.464281i | ||||
\(538\) | 12.2474i | 0.528025i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −9.00000 | + | 9.00000i | −0.387298 | + | 0.387298i | ||||
\(541\) | −1.00000 | − | 1.73205i | −0.0429934 | − | 0.0744667i | 0.843728 | − | 0.536771i | \(-0.180356\pi\) |
−0.886721 | + | 0.462304i | \(0.847023\pi\) | |||||||
\(542\) | −12.2474 | + | 21.2132i | −0.526073 | + | 0.911185i | ||||
\(543\) | 5.49038 | + | 20.4904i | 0.235615 | + | 0.879326i | ||||
\(544\) | −4.24264 | + | 2.44949i | −0.181902 | + | 0.105021i | ||||
\(545\) | −24.4949 | −1.04925 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.00000 | 0.342055 | 0.171028 | − | 0.985266i | \(-0.445291\pi\) | ||||
0.171028 | + | 0.985266i | \(0.445291\pi\) | |||||||
\(548\) | −10.3923 | + | 6.00000i | −0.443937 | + | 0.256307i | ||||
\(549\) | 18.3712 | − | 31.8198i | 0.784063 | − | 1.35804i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.34847 | − | 12.7279i | −0.313055 | − | 0.542228i | ||||
\(552\) | 7.34847 | + | 7.34847i | 0.312772 | + | 0.312772i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 22.0000i | 0.934690i | ||||||||
\(555\) | 2.19615 | − | 8.19615i | 0.0932215 | − | 0.347907i | ||||
\(556\) | −2.12132 | − | 1.22474i | −0.0899640 | − | 0.0519408i | ||||
\(557\) | 15.5885 | + | 9.00000i | 0.660504 | + | 0.381342i | 0.792469 | − | 0.609912i | \(-0.208795\pi\) |
−0.131965 | + | 0.991254i | \(0.542129\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.79796i | 0.414410i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.0227 | − | 19.0919i | 0.464552 | − | 0.804627i | −0.534630 | − | 0.845087i | \(-0.679549\pi\) |
0.999181 | + | 0.0404596i | \(0.0128822\pi\) | |||||||
\(564\) | 8.19615 | − | 2.19615i | 0.345120 | − | 0.0924747i | ||||
\(565\) | 12.7279 | − | 7.34847i | 0.535468 | − | 0.309152i | ||||
\(566\) | −22.0454 | −0.926638 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.19615 | − | 3.00000i | 0.217834 | − | 0.125767i | −0.387113 | − | 0.922032i | \(-0.626528\pi\) |
0.604947 | + | 0.796266i | \(0.293194\pi\) | |||||||
\(570\) | −10.0382 | + | 2.68973i | −0.420454 | + | 0.112660i | ||||
\(571\) | −16.0000 | + | 27.7128i | −0.669579 | + | 1.15975i | 0.308443 | + | 0.951243i | \(0.400192\pi\) |
−0.978022 | + | 0.208502i | \(0.933141\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 6.00000i | − | 0.250217i | ||||||
\(576\) | −2.59808 | + | 1.50000i | −0.108253 | + | 0.0625000i | ||||
\(577\) | −16.9706 | − | 9.79796i | −0.706494 | − | 0.407894i | 0.103268 | − | 0.994654i | \(-0.467070\pi\) |
−0.809761 | + | 0.586759i | \(0.800404\pi\) | |||||||
\(578\) | 6.06218 | + | 3.50000i | 0.252153 | + | 0.145581i | ||||
\(579\) | 1.79315 | − | 6.69213i | 0.0745208 | − | 0.278115i | ||||
\(580\) | 14.6969i | 0.610257i | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −6.00000 | − | 6.00000i | −0.248708 | − | 0.248708i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −4.89898 | + | 8.48528i | −0.202721 | + | 0.351123i | ||||
\(585\) | −9.00000 | + | 15.5885i | −0.372104 | + | 0.644503i | ||||
\(586\) | −2.12132 | + | 1.22474i | −0.0876309 | + | 0.0505937i | ||||
\(587\) | −7.34847 | −0.303304 | −0.151652 | − | 0.988434i | \(-0.548459\pi\) | ||||
−0.151652 | + | 0.988434i | \(0.548459\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −25.9808 | + | 15.0000i | −1.06961 | + | 0.617540i | ||||
\(591\) | 8.06918 | + | 30.1146i | 0.331922 | + | 1.23875i | ||||
\(592\) | 1.00000 | − | 1.73205i | 0.0410997 | − | 0.0711868i | ||||
\(593\) | −19.5959 | − | 33.9411i | −0.804708 | − | 1.39379i | −0.916488 | − | 0.400062i | \(-0.868989\pi\) |
0.111780 | − | 0.993733i | \(-0.464345\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 6.00000i | − | 0.245770i | ||||||
\(597\) | 16.3923 | + | 4.39230i | 0.670892 | + | 0.179765i | ||||
\(598\) | 12.7279 | + | 7.34847i | 0.520483 | + | 0.300501i | ||||
\(599\) | 20.7846 | + | 12.0000i | 0.849236 | + | 0.490307i | 0.860393 | − | 0.509631i | \(-0.170218\pi\) |
−0.0111569 | + | 0.999938i | \(0.503551\pi\) | |||||||
\(600\) | 1.67303 | + | 0.448288i | 0.0683013 | + | 0.0183013i | ||||
\(601\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.0000i | 0.977356i | ||||||||
\(604\) | −4.00000 | − | 6.92820i | −0.162758 | − | 0.281905i | ||||
\(605\) | 13.4722 | − | 23.3345i | 0.547723 | − | 0.948683i | ||||
\(606\) | 3.29423 | + | 12.2942i | 0.133819 | + | 0.499419i | ||||
\(607\) | −4.24264 | + | 2.44949i | −0.172203 | + | 0.0994217i | −0.583624 | − | 0.812024i | \(-0.698366\pi\) |
0.411421 | + | 0.911445i | \(0.365033\pi\) | |||||||
\(608\) | −2.44949 | −0.0993399 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −30.0000 | −1.21466 | ||||||||
\(611\) | 10.3923 | − | 6.00000i | 0.420428 | − | 0.242734i | ||||
\(612\) | 12.7279 | + | 7.34847i | 0.514496 | + | 0.297044i | ||||
\(613\) | −7.00000 | + | 12.1244i | −0.282727 | + | 0.489698i | −0.972056 | − | 0.234751i | \(-0.924572\pi\) |
0.689328 | + | 0.724449i | \(0.257906\pi\) | |||||||
\(614\) | −3.67423 | − | 6.36396i | −0.148280 | − | 0.256829i | ||||
\(615\) | 14.6969 | + | 14.6969i | 0.592638 | + | 0.592638i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 18.0000i | − | 0.724653i | −0.932051 | − | 0.362326i | \(-0.881983\pi\) | ||
0.932051 | − | 0.362326i | \(-0.118017\pi\) | |||||||
\(618\) | −4.39230 | + | 16.3923i | −0.176684 | + | 0.659395i | ||||
\(619\) | 23.3345 | + | 13.4722i | 0.937894 | + | 0.541493i | 0.889299 | − | 0.457325i | \(-0.151193\pi\) |
0.0485943 | + | 0.998819i | \(0.484526\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.06918 | − | 30.1146i | 0.323805 | − | 1.20846i | ||||
\(622\) | − | 19.5959i | − | 0.785725i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −3.00000 | + | 3.00000i | −0.120096 | + | 0.120096i | ||||
\(625\) | 14.5000 | + | 25.1147i | 0.580000 | + | 1.00459i | ||||
\(626\) | 17.1464 | − | 29.6985i | 0.685309 | − | 1.18699i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.36396 | + | 3.67423i | −0.253950 | + | 0.146618i | ||||
\(629\) | −9.79796 | −0.390670 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.00000 | 0.0796187 | 0.0398094 | − | 0.999207i | \(-0.487325\pi\) | ||||
0.0398094 | + | 0.999207i | \(0.487325\pi\) | |||||||
\(632\) | −8.66025 | + | 5.00000i | −0.344486 | + | 0.198889i | ||||
\(633\) | 13.3843 | − | 3.58630i | 0.531977 | − | 0.142543i | ||||
\(634\) | 9.00000 | − | 15.5885i | 0.357436 | − | 0.619097i | ||||
\(635\) | 9.79796 | + | 16.9706i | 0.388820 | + | 0.673456i | ||||
\(636\) | −7.34847 | + | 7.34847i | −0.291386 | + | 0.291386i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.12132 | + | 1.22474i | 0.0838525 | + | 0.0484123i | ||||
\(641\) | −25.9808 | − | 15.0000i | −1.02618 | − | 0.592464i | −0.110291 | − | 0.993899i | \(-0.535178\pi\) |
−0.915888 | + | 0.401435i | \(0.868512\pi\) | |||||||
\(642\) | 5.37945 | − | 20.0764i | 0.212310 | − | 0.792352i | ||||
\(643\) | − | 22.0454i | − | 0.869386i | −0.900579 | − | 0.434693i | \(-0.856857\pi\) | ||
0.900579 | − | 0.434693i | \(-0.143143\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.0000 | − | 12.0000i | −0.472500 | − | 0.472500i | ||||
\(646\) | 6.00000 | + | 10.3923i | 0.236067 | + | 0.408880i | ||||
\(647\) | 22.0454 | − | 38.1838i | 0.866694 | − | 1.50116i | 0.00133956 | − | 0.999999i | \(-0.499574\pi\) |
0.865355 | − | 0.501160i | \(-0.167093\pi\) | |||||||
\(648\) | 7.79423 | + | 4.50000i | 0.306186 | + | 0.176777i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 2.44949 | 0.0960769 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.0000 | 0.626608 | ||||||||
\(653\) | −5.19615 | + | 3.00000i | −0.203341 | + | 0.117399i | −0.598213 | − | 0.801337i | \(-0.704122\pi\) |
0.394872 | + | 0.918736i | \(0.370789\pi\) | |||||||
\(654\) | 4.48288 | + | 16.7303i | 0.175294 | + | 0.654208i | ||||
\(655\) | 9.00000 | − | 15.5885i | 0.351659 | − | 0.609091i | ||||
\(656\) | 2.44949 | + | 4.24264i | 0.0956365 | + | 0.165647i | ||||
\(657\) | 29.3939 | 1.14676 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 36.0000i | 1.40236i | 0.712984 | + | 0.701180i | \(0.247343\pi\) | ||||
−0.712984 | + | 0.701180i | \(0.752657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.6066 | + | 6.12372i | 0.412549 | + | 0.238185i | 0.691884 | − | 0.722008i | \(-0.256781\pi\) |
−0.279335 | + | 0.960194i | \(0.590114\pi\) | |||||||
\(662\) | −6.92820 | − | 4.00000i | −0.269272 | − | 0.155464i | ||||
\(663\) | 20.0764 | + | 5.37945i | 0.779702 | + | 0.208921i | ||||
\(664\) | 2.44949i | 0.0950586i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.00000 | −0.232495 | ||||||||
\(667\) | −18.0000 | − | 31.1769i | −0.696963 | − | 1.20717i | ||||
\(668\) | 2.44949 | − | 4.24264i | 0.0947736 | − | 0.164153i | ||||
\(669\) | −6.58846 | − | 24.5885i | −0.254724 | − | 0.950645i | ||||
\(670\) | 16.9706 | − | 9.79796i | 0.655630 | − | 0.378528i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.0000 | 1.31060 | 0.655302 | − | 0.755367i | \(-0.272541\pi\) | ||||
0.655302 | + | 0.755367i | \(0.272541\pi\) | |||||||
\(674\) | 27.7128 | − | 16.0000i | 1.06746 | − | 0.616297i | ||||
\(675\) | −1.34486 | − | 5.01910i | −0.0517638 | − | 0.193185i | ||||
\(676\) | 3.50000 | − | 6.06218i | 0.134615 | − | 0.233161i | ||||
\(677\) | 3.67423 | + | 6.36396i | 0.141212 | + | 0.244587i | 0.927953 | − | 0.372696i | \(-0.121567\pi\) |
−0.786741 | + | 0.617283i | \(0.788233\pi\) | |||||||
\(678\) | −7.34847 | − | 7.34847i | −0.282216 | − | 0.282216i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | − | 12.0000i | − | 0.460179i | ||||||
\(681\) | −3.29423 | + | 12.2942i | −0.126235 | + | 0.471116i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −20.7846 | − | 12.0000i | −0.795301 | − | 0.459167i | 0.0465244 | − | 0.998917i | \(-0.485185\pi\) |
−0.841825 | + | 0.539750i | \(0.818519\pi\) | |||||||
\(684\) | 3.67423 | + | 6.36396i | 0.140488 | + | 0.243332i | ||||
\(685\) | − | 29.3939i | − | 1.12308i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −27.0000 | + | 27.0000i | −1.03011 | + | 1.03011i | ||||
\(688\) | −2.00000 | − | 3.46410i | −0.0762493 | − | 0.132068i | ||||
\(689\) | −7.34847 | + | 12.7279i | −0.279954 | + | 0.484895i | ||||
\(690\) | −24.5885 | + | 6.58846i | −0.936067 | + | 0.250818i | ||||
\(691\) | 31.8198 | − | 18.3712i | 1.21048 | − | 0.698872i | 0.247618 | − | 0.968858i | \(-0.420352\pi\) |
0.962864 | + | 0.269985i | \(0.0870189\pi\) | |||||||
\(692\) | 22.0454 | 0.838041 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 5.19615 | − | 3.00000i | 0.197101 | − | 0.113796i | ||||
\(696\) | 10.0382 | − | 2.68973i | 0.380497 | − | 0.101954i | ||||
\(697\) | 12.0000 | − | 20.7846i | 0.454532 | − | 0.787273i | ||||
\(698\) | 1.22474 | + | 2.12132i | 0.0463573 | + | 0.0802932i | ||||
\(699\) | −29.3939 | + | 29.3939i | −1.11178 | + | 1.11178i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 30.0000i | − | 1.13308i | −0.824033 | − | 0.566542i | \(-0.808281\pi\) | ||
0.824033 | − | 0.566542i | \(-0.191719\pi\) | |||||||
\(702\) | 12.2942 | + | 3.29423i | 0.464016 | + | 0.124333i | ||||
\(703\) | −4.24264 | − | 2.44949i | −0.160014 | − | 0.0923843i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.37945 | + | 20.0764i | −0.202602 | + | 0.756121i | ||||
\(706\) | 9.79796i | 0.368751i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 15.0000 | + | 15.0000i | 0.563735 | + | 0.563735i | ||||
\(709\) | −5.00000 | − | 8.66025i | −0.187779 | − | 0.325243i | 0.756730 | − | 0.653727i | \(-0.226796\pi\) |
−0.944509 | + | 0.328484i | \(0.893462\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 25.9808 | + | 15.0000i | 0.974355 | + | 0.562544i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 20.7846 | − | 12.0000i | 0.776757 | − | 0.448461i | ||||
\(717\) | −2.68973 | − | 10.0382i | −0.100450 | − | 0.374883i | ||||
\(718\) | −3.00000 | + | 5.19615i | −0.111959 | + | 0.193919i | ||||
\(719\) | −12.2474 | − | 21.2132i | −0.456753 | − | 0.791119i | 0.542034 | − | 0.840356i | \(-0.317654\pi\) |
−0.998787 | + | 0.0492373i | \(0.984321\pi\) | |||||||
\(720\) | − | 7.34847i | − | 0.273861i | ||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 13.0000i | − | 0.483810i | ||||||
\(723\) | −40.9808 | − | 10.9808i | −1.52409 | − | 0.408379i | ||||
\(724\) | −10.6066 | − | 6.12372i | −0.394191 | − | 0.227586i | ||||
\(725\) | −5.19615 | − | 3.00000i | −0.192980 | − | 0.111417i | ||||
\(726\) | −18.4034 | − | 4.93117i | −0.683013 | − | 0.183013i | ||||
\(727\) | − | 29.3939i | − | 1.09016i | −0.838385 | − | 0.545079i | \(-0.816500\pi\) | ||
0.838385 | − | 0.545079i | \(-0.183500\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 27.0000i | − | 1.00000i | ||||||
\(730\) | −12.0000 | − | 20.7846i | −0.444140 | − | 0.769273i | ||||
\(731\) | −9.79796 | + | 16.9706i | −0.362391 | + | 0.627679i | ||||
\(732\) | 5.49038 | + | 20.4904i | 0.202930 | + | 0.757346i | ||||
\(733\) | −19.0919 | + | 11.0227i | −0.705175 | + | 0.407133i | −0.809272 | − | 0.587434i | \(-0.800138\pi\) |
0.104097 | + | 0.994567i | \(0.466805\pi\) | |||||||
\(734\) | −4.89898 | −0.180825 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.00000 | −0.221163 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 7.34847 | − | 12.7279i | 0.270501 | − | 0.468521i | ||||
\(739\) | −10.0000 | + | 17.3205i | −0.367856 | + | 0.637145i | −0.989230 | − | 0.146369i | \(-0.953241\pi\) |
0.621374 | + | 0.783514i | \(0.286575\pi\) | |||||||
\(740\) | 2.44949 | + | 4.24264i | 0.0900450 | + | 0.155963i | ||||
\(741\) | 7.34847 | + | 7.34847i | 0.269953 | + | 0.269953i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 6.00000i | − | 0.220119i | −0.993925 | − | 0.110059i | \(-0.964896\pi\) | ||
0.993925 | − | 0.110059i | \(-0.0351041\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.7279 | + | 7.34847i | 0.466315 | + | 0.269227i | ||||
\(746\) | 12.1244 | + | 7.00000i | 0.443904 | + | 0.256288i | ||||
\(747\) | 6.36396 | − | 3.67423i | 0.232845 | − | 0.134433i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 12.0000 | − | 12.0000i | 0.438178 | − | 0.438178i | ||||
\(751\) | 4.00000 | + | 6.92820i | 0.145962 | + | 0.252814i | 0.929731 | − | 0.368238i | \(-0.120039\pi\) |
−0.783769 | + | 0.621052i | \(0.786706\pi\) | |||||||
\(752\) | −2.44949 | + | 4.24264i | −0.0893237 | + | 0.154713i | ||||
\(753\) | 28.6865 | − | 7.68653i | 1.04540 | − | 0.280113i | ||||
\(754\) | 12.7279 | − | 7.34847i | 0.463524 | − | 0.267615i | ||||
\(755\) | 19.5959 | 0.713168 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.00000 | −0.0726912 | −0.0363456 | − | 0.999339i | \(-0.511572\pi\) | ||||
−0.0363456 | + | 0.999339i | \(0.511572\pi\) | |||||||
\(758\) | 17.3205 | − | 10.0000i | 0.629109 | − | 0.363216i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.00000 | − | 5.19615i | 0.108821 | − | 0.188484i | ||||
\(761\) | 2.44949 | + | 4.24264i | 0.0887939 | + | 0.153796i | 0.907002 | − | 0.421127i | \(-0.138365\pi\) |
−0.818208 | + | 0.574923i | \(0.805032\pi\) | |||||||
\(762\) | 9.79796 | − | 9.79796i | 0.354943 | − | 0.354943i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −31.1769 | + | 18.0000i | −1.12720 | + | 0.650791i | ||||
\(766\) | −29.6985 | − | 17.1464i | −1.07305 | − | 0.619526i | ||||
\(767\) | 25.9808 | + | 15.0000i | 0.938111 | + | 0.541619i | ||||
\(768\) | 0.448288 | − | 1.67303i | 0.0161762 | − | 0.0603704i | ||||
\(769\) | 34.2929i | 1.23663i | 0.785930 | + | 0.618316i | \(0.212185\pi\) | ||||
−0.785930 | + | 0.618316i | \(0.787815\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 36.0000 | + | 36.0000i | 1.29651 | + | 1.29651i | ||||
\(772\) | 2.00000 | + | 3.46410i | 0.0719816 | + | 0.124676i | ||||
\(773\) | −13.4722 | + | 23.3345i | −0.484561 | + | 0.839284i | −0.999843 | − | 0.0177365i | \(-0.994354\pi\) |
0.515282 | + | 0.857021i | \(0.327687\pi\) | |||||||
\(774\) | −6.00000 | + | 10.3923i | −0.215666 | + | 0.373544i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.89898 | 0.175863 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.00000 | 0.215110 | ||||||||
\(779\) | 10.3923 | − | 6.00000i | 0.372343 | − | 0.214972i | ||||
\(780\) | −2.68973 | − | 10.0382i | −0.0963077 | − | 0.359425i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 14.6969 | + | 25.4558i | 0.525561 | + | 0.910299i | ||||
\(783\) | −22.0454 | − | 22.0454i | −0.787839 | − | 0.787839i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 18.0000i | − | 0.642448i | ||||||
\(786\) | −12.2942 | − | 3.29423i | −0.438521 | − | 0.117501i | ||||
\(787\) | −27.5772 | − | 15.9217i | −0.983020 | − | 0.567547i | −0.0798393 | − | 0.996808i | \(-0.525441\pi\) |
−0.903180 | + | 0.429261i | \(0.858774\pi\) | |||||||
\(788\) | −15.5885 | − | 9.00000i | −0.555316 | − | 0.320612i | ||||
\(789\) | 40.1528 | + | 10.7589i | 1.42948 | + | 0.383027i | ||||
\(790\) | − | 24.4949i | − | 0.871489i | ||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.0000 | + | 25.9808i | 0.532666 | + | 0.922604i | ||||
\(794\) | −3.67423 | + | 6.36396i | −0.130394 | + | 0.225849i | ||||
\(795\) | −6.58846 | − | 24.5885i | −0.233668 | − | 0.872063i | ||||
\(796\) | −8.48528 | + | 4.89898i | −0.300753 | + | 0.173640i | ||||
\(797\) | −7.34847 | −0.260296 | −0.130148 | − | 0.991495i | \(-0.541545\pi\) | ||||
−0.130148 | + | 0.991495i | \(0.541545\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.0000 | 0.849059 | ||||||||
\(800\) | −0.866025 | + | 0.500000i | −0.0306186 | + | 0.0176777i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 15.0000 | − | 25.9808i | 0.529668 | − | 0.917413i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −9.79796 | − | 9.79796i | −0.345547 | − | 0.345547i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.49038 | + | 20.4904i | −0.193271 | + | 0.721296i | ||||
\(808\) | −6.36396 | − | 3.67423i | −0.223883 | − | 0.129259i | ||||
\(809\) | −5.19615 | − | 3.00000i | −0.182687 | − | 0.105474i | 0.405868 | − | 0.913932i | \(-0.366969\pi\) |
−0.588555 | + | 0.808458i | \(0.700303\pi\) | |||||||
\(810\) | −19.0919 | + | 11.0227i | −0.670820 | + | 0.387298i | ||||
\(811\) | 36.7423i | 1.29020i | 0.764099 | + | 0.645099i | \(0.223184\pi\) | ||||
−0.764099 | + | 0.645099i | \(0.776816\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −30.0000 | + | 30.0000i | −1.05215 | + | 1.05215i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.5959 | + | 33.9411i | −0.686415 | + | 1.18891i | ||||
\(816\) | −8.19615 | + | 2.19615i | −0.286923 | + | 0.0768807i | ||||
\(817\) | −8.48528 | + | 4.89898i | −0.296862 | + | 0.171394i | ||||
\(818\) | 34.2929 | 1.19902 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.0000 | −0.419058 | ||||||||
\(821\) | 25.9808 | − | 15.0000i | 0.906735 | − | 0.523504i | 0.0273557 | − | 0.999626i | \(-0.491291\pi\) |
0.879379 | + | 0.476122i | \(0.157958\pi\) | |||||||
\(822\) | −20.0764 | + | 5.37945i | −0.700245 | + | 0.187630i | ||||
\(823\) | −7.00000 | + | 12.1244i | −0.244005 | + | 0.422628i | −0.961851 | − | 0.273573i | \(-0.911795\pi\) |
0.717847 | + | 0.696201i | \(0.245128\pi\) | |||||||
\(824\) | −4.89898 | − | 8.48528i | −0.170664 | − | 0.295599i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.0000i | 0.417281i | 0.977992 | + | 0.208640i | \(0.0669038\pi\) | ||||
−0.977992 | + | 0.208640i | \(0.933096\pi\) | |||||||
\(828\) | 9.00000 | + | 15.5885i | 0.312772 | + | 0.541736i | ||||
\(829\) | 23.3345 | + | 13.4722i | 0.810442 | + | 0.467909i | 0.847109 | − | 0.531419i | \(-0.178341\pi\) |
−0.0366677 | + | 0.999328i | \(0.511674\pi\) | |||||||
\(830\) | −5.19615 | − | 3.00000i | −0.180361 | − | 0.104132i | ||||
\(831\) | −9.86233 | + | 36.8067i | −0.342120 | + | 1.27681i | ||||
\(832\) | − | 2.44949i | − | 0.0849208i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.00000 | − | 3.00000i | −0.103882 | − | 0.103882i | ||||
\(835\) | 6.00000 | + | 10.3923i | 0.207639 | + | 0.359641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −10.6066 | + | 6.12372i | −0.366399 | + | 0.211541i | ||||
\(839\) | −24.4949 | −0.845658 | −0.422829 | − | 0.906210i | \(-0.638963\pi\) | ||||
−0.422829 | + | 0.906210i | \(0.638963\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.00000 | −0.241379 | ||||||||
\(842\) | −1.73205 | + | 1.00000i | −0.0596904 | + | 0.0344623i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.00000 | + | 6.92820i | −0.137686 | + | 0.238479i | ||||
\(845\) | 8.57321 | + | 14.8492i | 0.294928 | + | 0.510829i | ||||
\(846\) | 14.6969 | 0.505291 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 6.00000i | − | 0.206041i | ||||||
\(849\) | −36.8827 | − | 9.88269i | −1.26581 | − | 0.339173i | ||||
\(850\) | 4.24264 | + | 2.44949i | 0.145521 | + | 0.0840168i | ||||
\(851\) | −10.3923 | − | 6.00000i | −0.356244 | − | 0.205677i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.44949i | 0.0838689i | 0.999120 | + | 0.0419345i | \(0.0133521\pi\) | ||||
−0.999120 | + | 0.0419345i | \(0.986648\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.0000 | −0.615587 | ||||||||
\(856\) | 6.00000 | + | 10.3923i | 0.205076 | + | 0.355202i | ||||
\(857\) | −2.44949 | + | 4.24264i | −0.0836730 | + | 0.144926i | −0.904825 | − | 0.425784i | \(-0.859998\pi\) |
0.821152 | + | 0.570710i | \(0.193332\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.3345 | + | 13.4722i | −0.796164 | + | 0.459665i | −0.842128 | − | 0.539278i | \(-0.818697\pi\) |
0.0459643 | + | 0.998943i | \(0.485364\pi\) | |||||||
\(860\) | 9.79796 | 0.334108 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30.0000 | −1.02180 | ||||||||
\(863\) | 20.7846 | − | 12.0000i | 0.707516 | − | 0.408485i | −0.102624 | − | 0.994720i | \(-0.532724\pi\) |
0.810141 | + | 0.586235i | \(0.199391\pi\) | |||||||
\(864\) | −5.01910 | + | 1.34486i | −0.170753 | + | 0.0457532i | ||||
\(865\) | −27.0000 | + | 46.7654i | −0.918028 | + | 1.59007i | ||||
\(866\) | −7.34847 | − | 12.7279i | −0.249711 | − | 0.432512i | ||||
\(867\) | 8.57321 | + | 8.57321i | 0.291162 | + | 0.291162i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −6.58846 | + | 24.5885i | −0.223370 | + | 0.833627i | ||||
\(871\) | −16.9706 | − | 9.79796i | −0.575026 | − | 0.331991i | ||||
\(872\) | −8.66025 | − | 5.00000i | −0.293273 | − | 0.169321i | ||||
\(873\) | −7.34847 | − | 12.7279i | −0.248708 | − | 0.430775i | ||||
\(874\) | 14.6969i | 0.497131i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −12.0000 | + | 12.0000i | −0.405442 | + | 0.405442i | ||||
\(877\) | 11.0000 | + | 19.0526i | 0.371444 | + | 0.643359i | 0.989788 | − | 0.142548i | \(-0.0455296\pi\) |
−0.618344 | + | 0.785907i | \(0.712196\pi\) | |||||||
\(878\) | 7.34847 | − | 12.7279i | 0.247999 | − | 0.429547i | ||||
\(879\) | −4.09808 | + | 1.09808i | −0.138225 | + | 0.0370372i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −29.3939 | −0.990305 | −0.495152 | − | 0.868806i | \(-0.664888\pi\) | ||||
−0.495152 | + | 0.868806i | \(0.664888\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −56.0000 | −1.88455 | −0.942275 | − | 0.334840i | \(-0.891318\pi\) | ||||
−0.942275 | + | 0.334840i | \(0.891318\pi\) | |||||||
\(884\) | −10.3923 | + | 6.00000i | −0.349531 | + | 0.201802i | ||||
\(885\) | −50.1910 | + | 13.4486i | −1.68715 | + | 0.452071i | ||||
\(886\) | 18.0000 | − | 31.1769i | 0.604722 | − | 1.04741i | ||||
\(887\) | −2.44949 | − | 4.24264i | −0.0822458 | − | 0.142454i | 0.821968 | − | 0.569533i | \(-0.192876\pi\) |
−0.904214 | + | 0.427079i | \(0.859543\pi\) | |||||||
\(888\) | 2.44949 | − | 2.44949i | 0.0821995 | − | 0.0821995i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.7279 | + | 7.34847i | 0.426162 | + | 0.246045i | ||||
\(893\) | 10.3923 | + | 6.00000i | 0.347765 | + | 0.200782i | ||||
\(894\) | 2.68973 | − | 10.0382i | 0.0899579 | − | 0.335727i | ||||
\(895\) | 58.7878i | 1.96506i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 18.0000 | + | 18.0000i | 0.601003 | + | 0.601003i | ||||
\(898\) | −18.0000 | − | 31.1769i | −0.600668 | − | 1.04039i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 2.59808 | + | 1.50000i | 0.0866025 | + | 0.0500000i | ||||
\(901\) | −25.4558 | + | 14.6969i | −0.848057 | + | 0.489626i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.00000 | 0.199557 | ||||||||
\(905\) | 25.9808 | − | 15.0000i | 0.863630 | − | 0.498617i | ||||
\(906\) | −3.58630 | − | 13.3843i | −0.119147 | − | 0.444662i | ||||
\(907\) | −14.0000 | + | 24.2487i | −0.464862 | + | 0.805165i | −0.999195 | − | 0.0401089i | \(-0.987230\pi\) |
0.534333 | + | 0.845274i | \(0.320563\pi\) | |||||||
\(908\) | −3.67423 | − | 6.36396i | −0.121934 | − | 0.211195i | ||||
\(909\) | 22.0454i | 0.731200i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 30.0000i | − | 0.993944i | −0.867766 | − | 0.496972i | \(-0.834445\pi\) | ||
0.867766 | − | 0.496972i | \(-0.165555\pi\) | |||||||
\(912\) | −4.09808 | − | 1.09808i | −0.135701 | − | 0.0363609i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 24.2487 | + | 14.0000i | 0.802076 | + | 0.463079i | ||||
\(915\) | −50.1910 | − | 13.4486i | −1.65926 | − | 0.444598i | ||||
\(916\) | − | 22.0454i | − | 0.728401i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 18.0000 | + | 18.0000i | 0.594089 | + | 0.594089i | ||||
\(919\) | −5.00000 | − | 8.66025i | −0.164935 | − | 0.285675i | 0.771697 | − | 0.635990i | \(-0.219408\pi\) |
−0.936632 | + | 0.350315i | \(0.886075\pi\) | |||||||
\(920\) | 7.34847 | − | 12.7279i | 0.242272 | − | 0.419627i | ||||
\(921\) | −3.29423 | − | 12.2942i | −0.108549 | − | 0.405109i | ||||
\(922\) | −27.5772 | + | 15.9217i | −0.908206 | + | 0.524353i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.00000 | −0.0657596 | ||||||||
\(926\) | −12.1244 | + | 7.00000i | −0.398431 | + | 0.230034i | ||||
\(927\) | −14.6969 | + | 25.4558i | −0.482711 | + | 0.836080i | ||||
\(928\) | −3.00000 | + | 5.19615i | −0.0984798 | + | 0.170572i | ||||
\(929\) | 12.2474 | + | 21.2132i | 0.401826 | + | 0.695983i | 0.993946 | − | 0.109867i | \(-0.0350424\pi\) |
−0.592121 | + | 0.805849i | \(0.701709\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 24.0000i | − | 0.786146i | ||||||
\(933\) | 8.78461 | − | 32.7846i | 0.287595 | − | 1.07332i | ||||
\(934\) | −6.36396 | − | 3.67423i | −0.208235 | − | 0.120225i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −6.36396 | + | 3.67423i | −0.208013 | + | 0.120096i | ||||
\(937\) | 19.5959i | 0.640171i | 0.947389 | + | 0.320085i | \(0.103712\pi\) | ||||
−0.947389 | + | 0.320085i | \(0.896288\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 42.0000 | − | 42.0000i | 1.37062 | − | 1.37062i | ||||
\(940\) | −6.00000 | − | 10.3923i | −0.195698 | − | 0.338960i | ||||
\(941\) | −15.9217 | + | 27.5772i | −0.519032 | + | 0.898990i | 0.480723 | + | 0.876872i | \(0.340374\pi\) |
−0.999755 | + | 0.0221175i | \(0.992959\pi\) | |||||||
\(942\) | −12.2942 | + | 3.29423i | −0.400568 | + | 0.107332i | ||||
\(943\) | 25.4558 | − | 14.6969i | 0.828956 | − | 0.478598i | ||||
\(944\) | −12.2474 | −0.398621 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.3923 | − | 6.00000i | 0.337705 | − | 0.194974i | −0.321552 | − | 0.946892i | \(-0.604204\pi\) |
0.659256 | + | 0.751918i | \(0.270871\pi\) | |||||||
\(948\) | −16.7303 | + | 4.48288i | −0.543376 | + | 0.145597i | ||||
\(949\) | −12.0000 | + | 20.7846i | −0.389536 | + | 0.674697i | ||||
\(950\) | 1.22474 | + | 2.12132i | 0.0397360 | + | 0.0688247i | ||||
\(951\) | 22.0454 | − | 22.0454i | 0.714871 | − | 0.714871i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 36.0000i | − | 1.16615i | −0.812417 | − | 0.583077i | \(-0.801849\pi\) | ||
0.812417 | − | 0.583077i | \(-0.198151\pi\) | |||||||
\(954\) | −15.5885 | + | 9.00000i | −0.504695 | + | 0.291386i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.19615 | + | 3.00000i | 0.168056 | + | 0.0970269i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 24.4949i | − | 0.791394i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 3.00000 | + | 3.00000i | 0.0968246 | + | 0.0968246i | ||||
\(961\) | −15.5000 | − | 26.8468i | −0.500000 | − | 0.866025i | ||||
\(962\) | 2.44949 | − | 4.24264i | 0.0789747 | − | 0.136788i | ||||
\(963\) | 18.0000 | − | 31.1769i | 0.580042 | − | 1.00466i | ||||
\(964\) | 21.2132 | − | 12.2474i | 0.683231 | − | 0.394464i | ||||
\(965\) | −9.79796 | −0.315407 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.00000 | 0.257263 | 0.128631 | − | 0.991692i | \(-0.458942\pi\) | ||||
0.128631 | + | 0.991692i | \(0.458942\pi\) | |||||||
\(968\) | 9.52628 | − | 5.50000i | 0.306186 | − | 0.176777i | ||||
\(969\) | 5.37945 | + | 20.0764i | 0.172813 | + | 0.644947i | ||||
\(970\) | −6.00000 | + | 10.3923i | −0.192648 | + | 0.333677i | ||||
\(971\) | 20.8207 | + | 36.0624i | 0.668167 | + | 1.15730i | 0.978416 | + | 0.206644i | \(0.0662541\pi\) |
−0.310249 | + | 0.950655i | \(0.600413\pi\) | |||||||
\(972\) | 11.0227 | + | 11.0227i | 0.353553 | + | 0.353553i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 32.0000i | 1.02535i | ||||||||
\(975\) | 4.09808 | + | 1.09808i | 0.131243 | + | 0.0351666i | ||||
\(976\) | −10.6066 | − | 6.12372i | −0.339509 | − | 0.196016i | ||||
\(977\) | −10.3923 | − | 6.00000i | −0.332479 | − | 0.191957i | 0.324462 | − | 0.945899i | \(-0.394817\pi\) |
−0.656941 | + | 0.753942i | \(0.728150\pi\) | |||||||
\(978\) | 26.7685 | + | 7.17260i | 0.855963 | + | 0.229355i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.0000i | 0.957826i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.1464 | − | 29.6985i | 0.546886 | − | 0.947235i | −0.451599 | − | 0.892221i | \(-0.649146\pi\) |
0.998486 | − | 0.0550138i | \(-0.0175203\pi\) | |||||||
\(984\) | 2.19615 | + | 8.19615i | 0.0700108 | + | 0.261284i | ||||
\(985\) | 38.1838 | − | 22.0454i | 1.21664 | − | 0.702425i | ||||
\(986\) | 29.3939 | 0.936092 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.00000 | −0.190885 | ||||||||
\(989\) | −20.7846 | + | 12.0000i | −0.660912 | + | 0.381578i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.0000 | − | 32.9090i | 0.603555 | − | 1.04539i | −0.388723 | − | 0.921355i | \(-0.627084\pi\) |
0.992278 | − | 0.124033i | \(-0.0395829\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −9.79796 | − | 9.79796i | −0.310929 | − | 0.310929i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 24.0000i | − | 0.760851i | ||||||
\(996\) | −1.09808 | + | 4.09808i | −0.0347939 | + | 0.129853i | ||||
\(997\) | −6.36396 | − | 3.67423i | −0.201549 | − | 0.116364i | 0.395829 | − | 0.918324i | \(-0.370457\pi\) |
−0.597378 | + | 0.801960i | \(0.703791\pi\) | |||||||
\(998\) | −17.3205 | − | 10.0000i | −0.548271 | − | 0.316544i | ||||
\(999\) | −10.0382 | − | 2.68973i | −0.317594 | − | 0.0850992i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))