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 | 227.3 | ||
Root | \(-0.258819 + 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.227 |
Dual form | 294.2.f.b.215.3 |
$q$-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 | ||||
\(3\) | −0.448288 | − | 1.67303i | −0.258819 | − | 0.965926i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.22474 | − | 2.12132i | −0.547723 | − | 0.948683i | −0.998430 | − | 0.0560116i | \(-0.982162\pi\) |
0.450708 | − | 0.892672i | \(-0.351172\pi\) | |||||||
\(6\) | −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 | \(0.666667\pi\) | |||||||
\(12\) | −1.67303 | − | 0.448288i | −0.482963 | − | 0.129410i | ||||
\(13\) | 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 | \(-0.630846\pi\) |
0.993675 | − | 0.112296i | \(-0.0358205\pi\) | |||||||
\(18\) | −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 | 0.151642 | − | 0.988436i | \(-0.451544\pi\) |
0.931831 | + | 0.362892i | \(0.118211\pi\) | |||||||
\(24\) | −1.67303 | + | 0.448288i | −0.341506 | + | 0.0915064i | ||||
\(25\) | −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 | \(-0.811919\pi\) | ||
0.830455 | − | 0.557086i | \(-0.188081\pi\) | |||||||
\(30\) | −1.09808 | + | 4.09808i | −0.200480 | + | 0.748203i | ||||
\(31\) | 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 | ||||
\(39\) | 4.09808 | − | 1.09808i | 0.656217 | − | 0.175833i | ||||
\(40\) | −2.12132 | + | 1.22474i | −0.335410 | + | 0.193649i | ||||
\(41\) | 4.89898 | 0.765092 | 0.382546 | − | 0.923936i | \(-0.375047\pi\) | ||||
0.382546 | + | 0.923936i | \(0.375047\pi\) | |||||||
\(42\) | 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 | 0.987508 | − | 0.157569i | \(-0.0503658\pi\) |
−0.630213 | + | 0.776422i | \(0.717032\pi\) | |||||||
\(48\) | −1.22474 | + | 1.22474i | −0.176777 | + | 0.176777i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.00000i | 0.141421i | ||||||||
\(51\) | −8.19615 | − | 2.19615i | −1.14769 | − | 0.307523i | ||||
\(52\) | 2.12132 | + | 1.22474i | 0.294174 | + | 0.169842i | ||||
\(53\) | −5.19615 | − | 3.00000i | −0.713746 | − | 0.412082i | 0.0987002 | − | 0.995117i | \(-0.468532\pi\) |
−0.812447 | + | 0.583036i | \(0.801865\pi\) | |||||||
\(54\) | 5.01910 | + | 1.34486i | 0.683013 | + | 0.183013i | ||||
\(55\) | 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 | \(0.460375\pi\) |
−0.921406 | + | 0.388600i | \(0.872959\pi\) | |||||||
\(60\) | 1.09808 | + | 4.09808i | 0.141761 | + | 0.529059i | ||||
\(61\) | 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 | ||||
\(75\) | 1.67303 | + | 0.448288i | 0.193185 | + | 0.0517638i | ||||
\(76\) | 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 | \(-0.542921\pi\) | ||||
−0.134433 | + | 0.990923i | \(0.542921\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.0000 | −1.30158 | ||||||||
\(86\) | 3.46410 | − | 2.00000i | 0.373544 | − | 0.215666i | ||||
\(87\) | −10.0382 | + | 2.68973i | −1.07621 | + | 0.288369i | ||||
\(88\) | 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 | ||||
\(96\) | −0.448288 | + | 1.67303i | −0.0457532 | + | 0.170753i | ||||
\(97\) | − | 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 | −0.623272 | − | 0.782005i | \(-0.714197\pi\) |
0.988872 | + | 0.148767i | \(0.0475305\pi\) | |||||||
\(102\) | −8.19615 | + | 2.19615i | −0.811540 | + | 0.217451i | ||||
\(103\) | −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 | −0.909624 | − | 0.415432i | \(-0.863630\pi\) |
−0.0950377 | + | 0.995474i | \(0.530297\pi\) | |||||||
\(108\) | 5.01910 | − | 1.34486i | 0.482963 | − | 0.129410i | ||||
\(109\) | −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 | \(0.0910696\pi\) | ||||
−0.959351 | + | 0.282216i | \(0.908930\pi\) | |||||||
\(114\) | 4.09808 | + | 1.09808i | 0.383820 | + | 0.102844i | ||||
\(115\) | −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 | ||||
\(123\) | −2.19615 | − | 8.19615i | −0.198020 | − | 0.739022i | ||||
\(124\) | 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 | ||||
\(129\) | −1.79315 | − | 6.69213i | −0.157878 | − | 0.589209i | ||||
\(130\) | 3.00000 | − | 5.19615i | 0.263117 | − | 0.455733i | ||||
\(131\) | 3.67423 | + | 6.36396i | 0.321019 | + | 0.556022i | 0.980699 | − | 0.195525i | \(-0.0626412\pi\) |
−0.659679 | + | 0.751547i | \(0.729308\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 8.00000i | 0.691095i | ||||||||
\(135\) | 3.29423 | − | 12.2942i | 0.283522 | − | 1.05812i | ||||
\(136\) | −4.24264 | − | 2.44949i | −0.363803 | − | 0.210042i | ||||
\(137\) | 10.3923 | + | 6.00000i | 0.887875 | + | 0.512615i | 0.873247 | − | 0.487278i | \(-0.162010\pi\) |
0.0146279 | + | 0.999893i | \(0.495344\pi\) | |||||||
\(138\) | −10.0382 | − | 2.68973i | −0.854508 | − | 0.228965i | ||||
\(139\) | − | 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 | −0.697507 | − | 0.716578i | \(-0.745707\pi\) |
0.271821 | + | 0.962348i | \(0.412374\pi\) | |||||||
\(150\) | 1.67303 | − | 0.448288i | 0.136603 | − | 0.0366025i | ||||
\(151\) | 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 | ||||||||
\(156\) | 1.09808 | − | 4.09808i | 0.0879165 | − | 0.328109i | ||||
\(157\) | −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 | ||||
\(159\) | −2.68973 | + | 10.0382i | −0.213309 | + | 0.796081i | ||||
\(160\) | 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 | \(-0.560702\pi\) | ||||
−0.189547 | + | 0.981872i | \(0.560702\pi\) | |||||||
\(168\) | 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 | \(-0.850368\pi\) |
0.0534899 | − | 0.998568i | \(-0.482966\pi\) | |||||||
\(174\) | −7.34847 | + | 7.34847i | −0.557086 | + | 0.557086i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 20.4904 | + | 5.49038i | 1.54015 | + | 0.412682i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −20.7846 | − | 12.0000i | −1.55351 | − | 0.896922i | −0.997852 | − | 0.0655145i | \(-0.979131\pi\) |
−0.555663 | − | 0.831408i | \(-0.687536\pi\) | |||||||
\(180\) | 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 | \(0.333333\pi\) | |||||||
\(192\) | 0.448288 | + | 1.67303i | 0.0323524 | + | 0.120741i | ||||
\(193\) | −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 | \(0.221573\pi\) | ||||
−0.767354 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(198\) | 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 | ||||
\(201\) | 13.3843 | + | 3.58630i | 0.944053 | + | 0.252958i | ||||
\(202\) | − | 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 | ||||||||
\(219\) | 4.39230 | − | 16.3923i | 0.296804 | − | 1.10769i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.3923 | + | 6.00000i | 0.699062 | + | 0.403604i | ||||
\(222\) | 0.896575 | − | 3.34607i | 0.0601742 | − | 0.224573i | ||||
\(223\) | 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 | −0.961813 | − | 0.273709i | \(-0.911750\pi\) |
0.717945 | + | 0.696100i | \(0.245083\pi\) | |||||||
\(228\) | 4.09808 | − | 1.09808i | 0.271402 | − | 0.0727219i | ||||
\(229\) | 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 | −0.989843 | − | 0.142166i | \(-0.954593\pi\) |
−0.371802 | + | 0.928312i | \(0.621260\pi\) | |||||||
\(234\) | −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 | \(-0.937836\pi\) | ||
0.980991 | − | 0.194054i | \(-0.0621637\pi\) | |||||||
\(240\) | 4.09808 | + | 1.09808i | 0.264530 | + | 0.0708805i | ||||
\(241\) | 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 | ||||
\(243\) | −15.0573 | − | 4.03459i | −0.965926 | − | 0.258819i | ||||
\(244\) | − | 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 | ||||||||
\(249\) | 1.09808 | + | 4.09808i | 0.0695878 | + | 0.259705i | ||||
\(250\) | −8.48528 | + | 4.89898i | −0.536656 | + | 0.309839i | ||||
\(251\) | 17.1464 | 1.08227 | 0.541136 | − | 0.840935i | \(-0.317994\pi\) | ||||
0.541136 | + | 0.840935i | \(0.317994\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 6.92820 | − | 4.00000i | 0.434714 | − | 0.250982i | ||||
\(255\) | 5.37945 | + | 20.0764i | 0.336874 | + | 1.25723i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 14.6969 | + | 25.4558i | 0.916770 | + | 1.58789i | 0.804289 | + | 0.594238i | \(0.202546\pi\) |
0.112481 | + | 0.993654i | \(0.464120\pi\) | |||||||
\(258\) | −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 | 0.977147 | − | 0.212565i | \(-0.0681817\pi\) |
0.304487 | + | 0.952517i | \(0.401515\pi\) | |||||||
\(264\) | 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 | −0.990082 | − | 0.140493i | \(-0.955131\pi\) |
0.616712 | + | 0.787189i | \(0.288464\pi\) | |||||||
\(270\) | −3.29423 | − | 12.2942i | −0.200480 | − | 0.748203i | ||||
\(271\) | 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 | ||||||||
\(276\) | −10.0382 | + | 2.68973i | −0.604228 | + | 0.161903i | ||||
\(277\) | 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 | \(\pi\) | |||||||||
\(282\) | 2.19615 | − | 8.19615i | 0.130779 | − | 0.488074i | ||||
\(283\) | 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 | ||||||||
\(285\) | 2.68973 | − | 10.0382i | 0.159326 | − | 0.594611i | ||||
\(286\) | 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 | ||||
\(291\) | −8.19615 | + | 2.19615i | −0.480467 | + | 0.128741i | ||||
\(292\) | 8.48528 | − | 4.89898i | 0.496564 | − | 0.286691i | ||||
\(293\) | −2.44949 | −0.143101 | −0.0715504 | − | 0.997437i | \(-0.522795\pi\) | ||||
−0.0715504 | + | 0.997437i | \(0.522795\pi\) | |||||||
\(294\) | 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 | ||||||
\(303\) | −12.2942 | − | 3.29423i | −0.706285 | − | 0.189248i | ||||
\(304\) | 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 | \(-0.645825\pi\) |
0.997857 | − | 0.0654284i | \(-0.0208414\pi\) | |||||||
\(312\) | −1.09808 | − | 4.09808i | −0.0621663 | − | 0.232008i | ||||
\(313\) | −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 | 0.00635137 | − | 0.999980i | \(-0.497978\pi\) |
0.869184 | + | 0.494489i | \(0.164645\pi\) | |||||||
\(318\) | 2.68973 | + | 10.0382i | 0.150832 | + | 0.562914i | ||||
\(319\) | 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 | ||||
\(327\) | 16.7303 | + | 4.48288i | 0.925189 | + | 0.247904i | ||||
\(328\) | − | 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 | ||||
\(339\) | 10.0382 | − | 2.68973i | 0.545200 | − | 0.146086i | ||||
\(340\) | −6.00000 | + | 10.3923i | −0.325396 | + | 0.563602i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 7.34847i | − | 0.397360i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | − | 4.00000i | − | 0.215666i | ||||||
\(345\) | −6.58846 | + | 24.5885i | −0.354711 | + | 1.32380i | ||||
\(346\) | −19.0919 | − | 11.0227i | −1.02639 | − | 0.592584i | ||||
\(347\) | 10.3923 | + | 6.00000i | 0.557888 | + | 0.322097i | 0.752297 | − | 0.658824i | \(-0.228946\pi\) |
−0.194409 | + | 0.980921i | \(0.562279\pi\) | |||||||
\(348\) | −2.68973 | + | 10.0382i | −0.144184 | + | 0.538104i | ||||
\(349\) | − | 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 | −0.966440 | − | 0.256891i | \(-0.917302\pi\) |
0.705694 | + | 0.708517i | \(0.250635\pi\) | |||||||
\(354\) | 20.4904 | − | 5.49038i | 1.08905 | − | 0.291810i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −24.0000 | −1.26844 | ||||||||
\(359\) | −5.19615 | + | 3.00000i | −0.274242 | + | 0.158334i | −0.630814 | − | 0.775934i | \(-0.717279\pi\) |
0.356572 | + | 0.934268i | \(0.383946\pi\) | |||||||
\(360\) | 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 | ||||||
\(366\) | −20.4904 | − | 5.49038i | −1.07105 | − | 0.286987i | ||||
\(367\) | 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 | ||||||||
\(375\) | 4.39230 | + | 16.3923i | 0.226818 | + | 0.846495i | ||||
\(376\) | 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 | ||||
\(381\) | −3.58630 | − | 13.3843i | −0.183732 | − | 0.685696i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.1464 | − | 29.6985i | −0.876142 | − | 1.51752i | −0.855542 | − | 0.517734i | \(-0.826776\pi\) |
−0.0205998 | − | 0.999788i | \(-0.506558\pi\) | |||||||
\(384\) | 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 | 0.625910 | − | 0.779895i | \(-0.284728\pi\) |
−0.362454 | + | 0.932002i | \(0.618061\pi\) | |||||||
\(390\) | −10.0382 | − | 2.68973i | −0.508304 | − | 0.136200i | ||||
\(391\) | − | 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 | 0.317460 | − | 0.948272i | \(-0.397170\pi\) |
0.979957 | + | 0.199207i | \(0.0638367\pi\) | |||||||
\(402\) | 13.3843 | − | 3.58630i | 0.667546 | − | 0.178868i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −3.67423 | − | 6.36396i | −0.182800 | − | 0.316619i | ||||
\(405\) | −22.0454 | −1.09545 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.19615 | + | 8.19615i | −0.108726 | + | 0.405770i | ||||
\(409\) | −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 | ||||
\(411\) | 5.37945 | − | 20.0764i | 0.265349 | − | 0.990295i | ||||
\(412\) | 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 | ||||
\(417\) | −4.09808 | + | 1.09808i | −0.200684 | + | 0.0537730i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.2474 | −0.598327 | −0.299164 | − | 0.954202i | \(-0.596708\pi\) | ||||
−0.299164 | + | 0.954202i | \(0.596708\pi\) | |||||||
\(420\) | 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 | −0.280052 | − | 0.959985i | \(-0.590352\pi\) |
−0.971397 | + | 0.237460i | \(0.923685\pi\) | |||||||
\(432\) | 1.34486 | − | 5.01910i | 0.0647048 | − | 0.241481i | ||||
\(433\) | 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 | ||||
\(438\) | −4.39230 | − | 16.3923i | −0.209872 | − | 0.783255i | ||||
\(439\) | −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 | 0.481486 | − | 0.876454i | \(-0.340097\pi\) |
0.999774 | + | 0.0212481i | \(0.00676401\pi\) | |||||||
\(444\) | −0.896575 | − | 3.34607i | −0.0425496 | − | 0.158797i | ||||
\(445\) | 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 | \(-0.676920\pi\) | ||
0.527633 | − | 0.849473i | \(-0.323080\pi\) | |||||||
\(450\) | −1.50000 | − | 2.59808i | −0.0707107 | − | 0.122474i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 5.19615 | + | 3.00000i | 0.244406 | + | 0.141108i | ||||
\(453\) | −13.3843 | − | 3.58630i | −0.628847 | − | 0.168499i | ||||
\(454\) | 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 | ||||
\(459\) | 24.5885 | − | 6.58846i | 1.14769 | − | 0.307523i | ||||
\(460\) | −12.7279 | + | 7.34847i | −0.593442 | + | 0.342624i | ||||
\(461\) | −31.8434 | −1.48309 | −0.741547 | − | 0.670901i | \(-0.765907\pi\) | ||||
−0.741547 | + | 0.670901i | \(0.765907\pi\) | |||||||
\(462\) | 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 | 0.768404 | − | 0.639965i | \(-0.221051\pi\) |
−0.938428 | + | 0.345476i | \(0.887718\pi\) | |||||||
\(468\) | −7.34847 | −0.339683 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | − | 12.0000i | − | 0.553519i | ||||||
\(471\) | −3.29423 | + | 12.2942i | −0.151790 | + | 0.566488i | ||||
\(472\) | 10.6066 | + | 6.12372i | 0.488208 | + | 0.281867i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.48288 | − | 16.7303i | 0.205905 | − | 0.768449i | ||||
\(475\) | − | 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 | \(-0.644288\pi\) |
0.997530 | − | 0.0702467i | \(-0.0223786\pi\) | |||||||
\(480\) | 4.09808 | − | 1.09808i | 0.187051 | − | 0.0501201i | ||||
\(481\) | −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 | ||||
\(486\) | −15.0573 | + | 4.03459i | −0.683013 | + | 0.183013i | ||||
\(487\) | 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 | \(\pi\) | |||||||||
\(492\) | −8.19615 | − | 2.19615i | −0.369511 | − | 0.0990102i | ||||
\(493\) | −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 | ||||
\(501\) | 2.19615 | + | 8.19615i | 0.0981169 | + | 0.366177i | ||||
\(502\) | 14.8492 | − | 8.57321i | 0.662754 | − | 0.382641i | ||||
\(503\) | −39.1918 | −1.74748 | −0.873739 | − | 0.486395i | \(-0.838311\pi\) | ||||
−0.873739 | + | 0.486395i | \(0.838311\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.0000 | −0.800989 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.13801 | − | 11.7112i | −0.139364 | − | 0.520114i | ||||
\(508\) | 4.00000 | − | 6.92820i | 0.177471 | − | 0.307389i | ||||
\(509\) | −6.12372 | − | 10.6066i | −0.271429 | − | 0.470129i | 0.697799 | − | 0.716294i | \(-0.254163\pi\) |
−0.969228 | + | 0.246165i | \(0.920830\pi\) | |||||||
\(510\) | 14.6969 | + | 14.6969i | 0.650791 | + | 0.650791i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −12.2942 | − | 3.29423i | −0.542803 | − | 0.145444i | ||||
\(514\) | 25.4558 | + | 14.6969i | 1.12281 | + | 0.648254i | ||||
\(515\) | 20.7846 | + | 12.0000i | 0.915879 | + | 0.528783i | ||||
\(516\) | −6.69213 | − | 1.79315i | −0.294605 | − | 0.0789391i | ||||
\(517\) | 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 | −0.914681 | − | 0.404176i | \(-0.867558\pi\) |
0.807367 | + | 0.590049i | \(0.200892\pi\) | |||||||
\(522\) | 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 | ||||
\(537\) | −10.7589 | + | 40.1528i | −0.464281 | + | 1.73272i | ||||
\(538\) | 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 | ||||
\(543\) | −20.4904 | + | 5.49038i | −0.879326 | + | 0.235615i | ||||
\(544\) | −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 | ||||||
\(555\) | −8.19615 | − | 2.19615i | −0.347907 | − | 0.0932215i | ||||
\(556\) | −2.12132 | − | 1.22474i | −0.0899640 | − | 0.0519408i | ||||
\(557\) | −15.5885 | − | 9.00000i | −0.660504 | − | 0.381342i | 0.131965 | − | 0.991254i | \(-0.457871\pi\) |
−0.792469 | + | 0.609912i | \(0.791205\pi\) | |||||||
\(558\) | 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 | −0.999181 | − | 0.0404596i | \(-0.987118\pi\) |
0.534630 | + | 0.845087i | \(0.320451\pi\) | |||||||
\(564\) | −2.19615 | − | 8.19615i | −0.0924747 | − | 0.345120i | ||||
\(565\) | 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 | −0.604947 | − | 0.796266i | \(-0.706806\pi\) |
0.387113 | + | 0.922032i | \(0.373472\pi\) | |||||||
\(570\) | −2.68973 | − | 10.0382i | −0.112660 | − | 0.420454i | ||||
\(571\) | −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 | ||||
\(579\) | 6.69213 | + | 1.79315i | 0.278115 | + | 0.0745208i | ||||
\(580\) | 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 | \(-0.451541\pi\) | ||||
0.151652 | + | 0.988434i | \(0.451541\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 25.9808 | − | 15.0000i | 1.06961 | − | 0.617540i | ||||
\(591\) | 30.1146 | − | 8.06918i | 1.23875 | − | 0.331922i | ||||
\(592\) | 1.00000 | − | 1.73205i | 0.0410997 | − | 0.0711868i | ||||
\(593\) | 19.5959 | + | 33.9411i | 0.804708 | + | 1.39379i | 0.916488 | + | 0.400062i | \(0.131011\pi\) |
−0.111780 | + | 0.993733i | \(0.535655\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.00000i | 0.245770i | ||||||||
\(597\) | −4.39230 | + | 16.3923i | −0.179765 | + | 0.670892i | ||||
\(598\) | 12.7279 | + | 7.34847i | 0.520483 | + | 0.300501i | ||||
\(599\) | −20.7846 | − | 12.0000i | −0.849236 | − | 0.490307i | 0.0111569 | − | 0.999938i | \(-0.496449\pi\) |
−0.860393 | + | 0.509631i | \(0.829782\pi\) | |||||||
\(600\) | 0.448288 | − | 1.67303i | 0.0183013 | − | 0.0683013i | ||||
\(601\) | 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 | ||||
\(606\) | −12.2942 | + | 3.29423i | −0.499419 | + | 0.133819i | ||||
\(607\) | −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 | \(0.118017\pi\) | ||||
−0.932051 | + | 0.362326i | \(0.881983\pi\) | |||||||
\(618\) | 16.3923 | + | 4.39230i | 0.659395 | + | 0.176684i | ||||
\(619\) | 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 | ||||||||
\(621\) | 30.1146 | + | 8.06918i | 1.20846 | + | 0.323805i | ||||
\(622\) | − | 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 | ||||
\(633\) | 3.58630 | + | 13.3843i | 0.142543 | + | 0.531977i | ||||
\(634\) | 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 | 0.915888 | − | 0.401435i | \(-0.131488\pi\) |
0.110291 | + | 0.993899i | \(0.464822\pi\) | |||||||
\(642\) | 20.0764 | + | 5.37945i | 0.792352 | + | 0.212310i | ||||
\(643\) | − | 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 | \(0.500426\pi\) |
−0.865355 | + | 0.501160i | \(0.832907\pi\) | |||||||
\(648\) | −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 | −0.394872 | − | 0.918736i | \(-0.629211\pi\) |
0.598213 | + | 0.801337i | \(0.295878\pi\) | |||||||
\(654\) | 16.7303 | − | 4.48288i | 0.654208 | − | 0.175294i | ||||
\(655\) | 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 | \(-0.752657\pi\) | ||
0.712984 | − | 0.701180i | \(-0.247343\pi\) | |||||||
\(660\) | 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 | ||||
\(663\) | 5.37945 | − | 20.0764i | 0.208921 | − | 0.779702i | ||||
\(664\) | 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 | ||||
\(669\) | 24.5885 | − | 6.58846i | 0.950645 | − | 0.254724i | ||||
\(670\) | 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 | ||||
\(675\) | −5.01910 | + | 1.34486i | −0.193185 | + | 0.0517638i | ||||
\(676\) | 3.50000 | − | 6.06218i | 0.134615 | − | 0.233161i | ||||
\(677\) | −3.67423 | − | 6.36396i | −0.141212 | − | 0.244587i | 0.786741 | − | 0.617283i | \(-0.211767\pi\) |
−0.927953 | + | 0.372696i | \(0.878433\pi\) | |||||||
\(678\) | 7.34847 | − | 7.34847i | 0.282216 | − | 0.282216i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 12.0000i | 0.460179i | ||||||||
\(681\) | 12.2942 | + | 3.29423i | 0.471116 | + | 0.126235i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 20.7846 | + | 12.0000i | 0.795301 | + | 0.459167i | 0.841825 | − | 0.539750i | \(-0.181481\pi\) |
−0.0465244 | + | 0.998917i | \(0.514815\pi\) | |||||||
\(684\) | −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 | ||||
\(690\) | 6.58846 | + | 24.5885i | 0.250818 | + | 0.936067i | ||||
\(691\) | 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 | ||||
\(696\) | 2.68973 | + | 10.0382i | 0.101954 | + | 0.380497i | ||||
\(697\) | 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 | \(0.191719\pi\) | ||||
−0.824033 | + | 0.566542i | \(0.808281\pi\) | |||||||
\(702\) | −3.29423 | + | 12.2942i | −0.124333 | + | 0.464016i | ||||
\(703\) | −4.24264 | − | 2.44949i | −0.160014 | − | 0.0923843i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −20.0764 | − | 5.37945i | −0.756121 | − | 0.202602i | ||||
\(706\) | 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 | ||||
\(717\) | −10.0382 | + | 2.68973i | −0.374883 | + | 0.100450i | ||||
\(718\) | −3.00000 | + | 5.19615i | −0.111959 | + | 0.193919i | ||||
\(719\) | 12.2474 | + | 21.2132i | 0.456753 | + | 0.791119i | 0.998787 | − | 0.0492373i | \(-0.0156791\pi\) |
−0.542034 | + | 0.840356i | \(0.682346\pi\) | |||||||
\(720\) | − | 7.34847i | − | 0.273861i | ||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 13.0000i | 0.483810i | ||||||||
\(723\) | 10.9808 | − | 40.9808i | 0.408379 | − | 1.52409i | ||||
\(724\) | −10.6066 | − | 6.12372i | −0.394191 | − | 0.227586i | ||||
\(725\) | 5.19615 | + | 3.00000i | 0.192980 | + | 0.111417i | ||||
\(726\) | −4.93117 | + | 18.4034i | −0.183013 | + | 0.683013i | ||||
\(727\) | − | 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 | ||||
\(732\) | −20.4904 | + | 5.49038i | −0.757346 | + | 0.202930i | ||||
\(733\) | −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 | \(0.0351041\pi\) | ||||
−0.993925 | + | 0.110059i | \(0.964896\pi\) | |||||||
\(744\) | 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 | ||||
\(753\) | −7.68653 | − | 28.6865i | −0.280113 | − | 1.04540i | ||||
\(754\) | 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 | 0.818208 | − | 0.574923i | \(-0.194968\pi\) |
−0.907002 | + | 0.421127i | \(0.861635\pi\) | |||||||
\(762\) | −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 | ||||
\(768\) | 1.67303 | + | 0.448288i | 0.0603704 | + | 0.0161762i | ||||
\(769\) | 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 | −0.515282 | − | 0.857021i | \(-0.672313\pi\) |
0.999843 | + | 0.0177365i | \(0.00564599\pi\) | |||||||
\(774\) | −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 | ||||
\(780\) | −10.0382 | + | 2.68973i | −0.359425 | + | 0.0963077i | ||||
\(781\) | 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 | ||||||||
\(786\) | 3.29423 | − | 12.2942i | 0.117501 | − | 0.438521i | ||||
\(787\) | −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 | ||||
\(789\) | 10.7589 | − | 40.1528i | 0.383027 | − | 1.42948i | ||||
\(790\) | − | 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 | ||||
\(795\) | 24.5885 | − | 6.58846i | 0.872063 | − | 0.233668i | ||||
\(796\) | −8.48528 | + | 4.89898i | −0.300753 | + | 0.173640i | ||||
\(797\) | 7.34847 | 0.260296 | 0.130148 | − | 0.991495i | \(-0.458455\pi\) | ||||
0.130148 | + | 0.991495i | \(0.458455\pi\) | |||||||
\(798\) | 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 | ||||||||
\(807\) | 20.4904 | + | 5.49038i | 0.721296 | + | 0.193271i | ||||
\(808\) | −6.36396 | − | 3.67423i | −0.223883 | − | 0.129259i | ||||
\(809\) | 5.19615 | + | 3.00000i | 0.182687 | + | 0.105474i | 0.588555 | − | 0.808458i | \(-0.299697\pi\) |
−0.405868 | + | 0.913932i | \(0.633031\pi\) | |||||||
\(810\) | −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 | ||||
\(816\) | 2.19615 | + | 8.19615i | 0.0768807 | + | 0.286923i | ||||
\(817\) | −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 | −0.879379 | − | 0.476122i | \(-0.842042\pi\) |
−0.0273557 | + | 0.999626i | \(0.508709\pi\) | |||||||
\(822\) | −5.37945 | − | 20.0764i | −0.187630 | − | 0.700245i | ||||
\(823\) | −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 | \(-0.933096\pi\) | ||
0.977992 | − | 0.208640i | \(-0.0669038\pi\) | |||||||
\(828\) | 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 | ||||
\(831\) | −36.8067 | − | 9.86233i | −1.27681 | − | 0.342120i | ||||
\(832\) | − | 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 | \(-0.361037\pi\) | ||||
0.422829 | + | 0.906210i | \(0.361037\pi\) | |||||||
\(840\) | 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 | ||||||||
\(849\) | 9.88269 | − | 36.8827i | 0.339173 | − | 1.26581i | ||||
\(850\) | 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 | −0.821152 | − | 0.570710i | \(-0.806668\pi\) |
0.904825 | + | 0.425784i | \(0.140002\pi\) | |||||||
\(858\) | 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 | −0.810141 | − | 0.586235i | \(-0.800609\pi\) |
0.102624 | + | 0.994720i | \(0.467276\pi\) | |||||||
\(864\) | −1.34486 | − | 5.01910i | −0.0457532 | − | 0.170753i | ||||
\(865\) | −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 | ||||||||
\(870\) | 24.5885 | + | 6.58846i | 0.833627 | + | 0.223370i | ||||
\(871\) | −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 | ||||
\(879\) | 1.09808 | + | 4.09808i | 0.0370372 | + | 0.138225i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 29.3939 | 0.990305 | 0.495152 | − | 0.868806i | \(-0.335112\pi\) | ||||
0.495152 | + | 0.868806i | \(0.335112\pi\) | |||||||
\(882\) | 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 | ||||
\(885\) | −13.4486 | − | 50.1910i | −0.452071 | − | 1.68715i | ||||
\(886\) | 18.0000 | − | 31.1769i | 0.604722 | − | 1.04741i | ||||
\(887\) | 2.44949 | + | 4.24264i | 0.0822458 | + | 0.142454i | 0.904214 | − | 0.427079i | \(-0.140457\pi\) |
−0.821968 | + | 0.569533i | \(0.807124\pi\) | |||||||
\(888\) | −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 | ||||
\(894\) | 10.0382 | + | 2.68973i | 0.335727 | + | 0.0899579i | ||||
\(895\) | 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 | ||||
\(906\) | −13.3843 | + | 3.58630i | −0.444662 | + | 0.119147i | ||||
\(907\) | −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 | \(0.165555\pi\) | ||||
−0.867766 | + | 0.496972i | \(0.834445\pi\) | |||||||
\(912\) | 1.09808 | − | 4.09808i | 0.0363609 | − | 0.135701i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −24.2487 | − | 14.0000i | −0.802076 | − | 0.463079i | ||||
\(915\) | −13.4486 | + | 50.1910i | −0.444598 | + | 1.65926i | ||||
\(916\) | − | 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 | ||||
\(921\) | 12.2942 | − | 3.29423i | 0.405109 | − | 0.108549i | ||||
\(922\) | −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 | 0.592121 | − | 0.805849i | \(-0.298291\pi\) |
−0.993946 | + | 0.109867i | \(0.964958\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 24.0000i | 0.786146i | ||||||||
\(933\) | −32.7846 | − | 8.78461i | −1.07332 | − | 0.287595i | ||||
\(934\) | −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 | \(-0.659626\pi\) |
0.999755 | − | 0.0221175i | \(-0.00704081\pi\) | |||||||
\(942\) | 3.29423 | + | 12.2942i | 0.107332 | + | 0.400568i | ||||
\(943\) | 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 | −0.659256 | − | 0.751918i | \(-0.729129\pi\) |
0.321552 | + | 0.946892i | \(0.395796\pi\) | |||||||
\(948\) | −4.48288 | − | 16.7303i | −0.145597 | − | 0.543376i | ||||
\(949\) | −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 | \(0.198151\pi\) | ||||
−0.812417 | + | 0.583077i | \(0.801849\pi\) | |||||||
\(954\) | 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 | ||||
\(969\) | 20.0764 | − | 5.37945i | 0.644947 | − | 0.172813i | ||||
\(970\) | −6.00000 | + | 10.3923i | −0.192648 | + | 0.333677i | ||||
\(971\) | −20.8207 | − | 36.0624i | −0.668167 | − | 1.15730i | −0.978416 | − | 0.206644i | \(-0.933746\pi\) |
0.310249 | − | 0.950655i | \(-0.399587\pi\) | |||||||
\(972\) | −11.0227 | + | 11.0227i | −0.353553 | + | 0.353553i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 32.0000i | − | 1.02535i | ||||||
\(975\) | −1.09808 | + | 4.09808i | −0.0351666 | + | 0.131243i | ||||
\(976\) | −10.6066 | − | 6.12372i | −0.339509 | − | 0.196016i | ||||
\(977\) | 10.3923 | + | 6.00000i | 0.332479 | + | 0.191957i | 0.656941 | − | 0.753942i | \(-0.271850\pi\) |
−0.324462 | + | 0.945899i | \(0.605183\pi\) | |||||||
\(978\) | 7.17260 | − | 26.7685i | 0.229355 | − | 0.855963i | ||||
\(979\) | 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 | \(0.350854\pi\) |
−0.998486 | + | 0.0550138i | \(0.982480\pi\) | |||||||
\(984\) | −8.19615 | + | 2.19615i | −0.261284 | + | 0.0700108i | ||||
\(985\) | 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 | ||||||||
\(996\) | 4.09808 | + | 1.09808i | 0.129853 | + | 0.0347939i | ||||
\(997\) | −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 | ||||
\(999\) | −2.68973 | + | 10.0382i | −0.0850992 | + | 0.317594i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))