Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(80,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.80");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.k (of order \(12\), degree \(4\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 8.0.56070144.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 16x^{6} - 34x^{5} + 63x^{4} - 74x^{3} + 70x^{2} - 38x + 13 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 89.1 | ||
Root | \(0.500000 - 2.19293i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.89 |
Dual form | 507.2.k.e.188.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.31259 | − | 0.619657i | −1.63525 | − | 0.438164i | −0.679818 | − | 0.733380i | \(-0.737941\pi\) |
−0.955430 | + | 0.295217i | \(0.904608\pi\) | |||||||
\(3\) | 1.64914 | − | 0.529480i | 0.952129 | − | 0.305695i | ||||
\(4\) | 3.23205 | + | 1.86603i | 1.61603 | + | 0.933013i | ||||
\(5\) | 1.69293 | − | 1.69293i | 0.757103 | − | 0.757103i | −0.218691 | − | 0.975794i | \(-0.570179\pi\) |
0.975794 | + | 0.218691i | \(0.0701787\pi\) | |||||||
\(6\) | −4.14187 | + | 0.202571i | −1.69091 | + | 0.0826993i | ||||
\(7\) | 0.366025 | + | 1.36603i | 0.138345 | + | 0.516309i | 0.999962 | + | 0.00875026i | \(0.00278533\pi\) |
−0.861617 | + | 0.507559i | \(0.830548\pi\) | |||||||
\(8\) | −2.93225 | − | 2.93225i | −1.03671 | − | 1.03671i | ||||
\(9\) | 2.43930 | − | 1.74637i | 0.813101 | − | 0.582123i | ||||
\(10\) | −4.96410 | + | 2.86603i | −1.56979 | + | 0.906317i | ||||
\(11\) | 0.453620 | − | 1.69293i | 0.136772 | − | 0.510439i | −0.863213 | − | 0.504840i | \(-0.831551\pi\) |
0.999984 | − | 0.00559833i | \(-0.00178201\pi\) | |||||||
\(12\) | 6.31812 | + | 1.36603i | 1.82388 | + | 0.394338i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | − | 3.38587i | − | 0.904911i | ||||||
\(15\) | 1.89551 | − | 3.68825i | 0.489417 | − | 0.952303i | ||||
\(16\) | 1.23205 | + | 2.13397i | 0.308013 | + | 0.533494i | ||||
\(17\) | 1.07328 | − | 1.85897i | 0.260308 | − | 0.450867i | −0.706016 | − | 0.708196i | \(-0.749509\pi\) |
0.966324 | + | 0.257330i | \(0.0828426\pi\) | |||||||
\(18\) | −6.72326 | + | 2.52711i | −1.58469 | + | 0.595644i | ||||
\(19\) | 1.00000 | − | 0.267949i | 0.229416 | − | 0.0614718i | −0.142280 | − | 0.989826i | \(-0.545443\pi\) |
0.371695 | + | 0.928355i | \(0.378777\pi\) | |||||||
\(20\) | 8.63071 | − | 2.31259i | 1.92988 | − | 0.517111i | ||||
\(21\) | 1.32691 | + | 2.05896i | 0.289555 | + | 0.449302i | ||||
\(22\) | −2.09808 | + | 3.63397i | −0.447311 | + | 0.774766i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | −6.38824 | − | 3.28311i | −1.30399 | − | 0.670162i | ||||
\(25\) | − | 0.732051i | − | 0.146410i | ||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.09808 | − | 4.17156i | 0.596225 | − | 0.802817i | ||||
\(28\) | −1.36603 | + | 5.09808i | −0.258155 | + | 0.963446i | ||||
\(29\) | −4.79122 | + | 2.76621i | −0.889707 | + | 0.513673i | −0.873847 | − | 0.486202i | \(-0.838382\pi\) |
−0.0158603 | + | 0.999874i | \(0.505049\pi\) | |||||||
\(30\) | −6.66898 | + | 7.35486i | −1.21758 | + | 1.34281i | ||||
\(31\) | 4.46410 | + | 4.46410i | 0.801776 | + | 0.801776i | 0.983373 | − | 0.181597i | \(-0.0581266\pi\) |
−0.181597 | + | 0.983373i | \(0.558127\pi\) | |||||||
\(32\) | 0.619657 | + | 2.31259i | 0.109541 | + | 0.408812i | ||||
\(33\) | −0.148292 | − | 3.03206i | −0.0258144 | − | 0.527814i | ||||
\(34\) | −3.63397 | + | 3.63397i | −0.623222 | + | 0.623222i | ||||
\(35\) | 2.93225 | + | 1.69293i | 0.495640 | + | 0.286158i | ||||
\(36\) | 11.1427 | − | 1.09255i | 1.85712 | − | 0.182092i | ||||
\(37\) | 6.59808 | + | 1.76795i | 1.08472 | + | 0.290649i | 0.756527 | − | 0.653963i | \(-0.226895\pi\) |
0.328190 | + | 0.944612i | \(0.393561\pi\) | |||||||
\(38\) | −2.47863 | −0.402086 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −9.92820 | −1.56979 | ||||||||
\(41\) | 0.619657 | + | 0.166037i | 0.0967741 | + | 0.0259306i | 0.306881 | − | 0.951748i | \(-0.400715\pi\) |
−0.210107 | + | 0.977678i | \(0.567381\pi\) | |||||||
\(42\) | −1.79275 | − | 5.58376i | −0.276627 | − | 0.861593i | ||||
\(43\) | −7.09808 | − | 4.09808i | −1.08245 | − | 0.624951i | −0.150891 | − | 0.988550i | \(-0.548214\pi\) |
−0.931555 | + | 0.363600i | \(0.881548\pi\) | |||||||
\(44\) | 4.62518 | − | 4.62518i | 0.697272 | − | 0.697272i | ||||
\(45\) | 1.17309 | − | 7.08606i | 0.174874 | − | 1.05633i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.77174 | − | 6.77174i | −0.987759 | − | 0.987759i | 0.0121668 | − | 0.999926i | \(-0.496127\pi\) |
−0.999926 | + | 0.0121668i | \(0.996127\pi\) | |||||||
\(48\) | 3.16172 | + | 2.86687i | 0.456354 | + | 0.413797i | ||||
\(49\) | 4.33013 | − | 2.50000i | 0.618590 | − | 0.357143i | ||||
\(50\) | −0.453620 | + | 1.69293i | −0.0641516 | + | 0.239417i | ||||
\(51\) | 0.785693 | − | 3.63397i | 0.110019 | − | 0.508858i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.62518i | 0.635318i | 0.948205 | + | 0.317659i | \(0.102897\pi\) | ||||
−0.948205 | + | 0.317659i | \(0.897103\pi\) | |||||||
\(54\) | −9.74952 | + | 7.72737i | −1.32674 | + | 1.05156i | ||||
\(55\) | −2.09808 | − | 3.63397i | −0.282905 | − | 0.490005i | ||||
\(56\) | 2.93225 | − | 5.07880i | 0.391838 | − | 0.678683i | ||||
\(57\) | 1.50726 | − | 0.971364i | 0.199642 | − | 0.128660i | ||||
\(58\) | 12.7942 | − | 3.42820i | 1.67996 | − | 0.450145i | ||||
\(59\) | −4.62518 | + | 1.23931i | −0.602147 | + | 0.161345i | −0.546999 | − | 0.837133i | \(-0.684230\pi\) |
−0.0551484 | + | 0.998478i | \(0.517563\pi\) | |||||||
\(60\) | 13.0087 | − | 8.38356i | 1.67942 | − | 1.08231i | ||||
\(61\) | 3.50000 | − | 6.06218i | 0.448129 | − | 0.776182i | −0.550135 | − | 0.835076i | \(-0.685424\pi\) |
0.998264 | + | 0.0588933i | \(0.0187572\pi\) | |||||||
\(62\) | −7.55743 | − | 13.0899i | −0.959794 | − | 1.66241i | ||||
\(63\) | 3.27843 | + | 2.69293i | 0.413043 | + | 0.339278i | ||||
\(64\) | − | 10.6603i | − | 1.33253i | ||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.53590 | + | 7.10381i | −0.189056 | + | 0.874418i | ||||
\(67\) | 2.26795 | − | 8.46410i | 0.277074 | − | 1.03405i | −0.677365 | − | 0.735647i | \(-0.736878\pi\) |
0.954439 | − | 0.298407i | \(-0.0964553\pi\) | |||||||
\(68\) | 6.93777 | − | 4.00552i | 0.841328 | − | 0.485741i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.73205 | − | 5.73205i | −0.685111 | − | 0.685111i | ||||
\(71\) | −1.23931 | − | 4.62518i | −0.147079 | − | 0.548908i | −0.999654 | − | 0.0263025i | \(-0.991627\pi\) |
0.852575 | − | 0.522606i | \(-0.175040\pi\) | |||||||
\(72\) | −12.2734 | − | 2.03185i | −1.44644 | − | 0.239456i | ||||
\(73\) | −6.09808 | + | 6.09808i | −0.713726 | + | 0.713726i | −0.967313 | − | 0.253587i | \(-0.918390\pi\) |
0.253587 | + | 0.967313i | \(0.418390\pi\) | |||||||
\(74\) | −14.1631 | − | 8.17709i | −1.64643 | − | 0.950567i | ||||
\(75\) | −0.387606 | − | 1.20725i | −0.0447569 | − | 0.139401i | ||||
\(76\) | 3.73205 | + | 1.00000i | 0.428096 | + | 0.114708i | ||||
\(77\) | 2.47863 | 0.282466 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00000 | 0.225018 | 0.112509 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112509 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(80\) | 5.69846 | + | 1.52690i | 0.637107 | + | 0.170712i | ||||
\(81\) | 2.90039 | − | 8.51984i | 0.322266 | − | 0.946649i | ||||
\(82\) | −1.33013 | − | 0.767949i | −0.146888 | − | 0.0848058i | ||||
\(83\) | −1.23931 | + | 1.23931i | −0.136032 | + | 0.136032i | −0.771844 | − | 0.635812i | \(-0.780665\pi\) |
0.635812 | + | 0.771844i | \(0.280665\pi\) | |||||||
\(84\) | 0.446565 | + | 9.13071i | 0.0487243 | + | 0.996242i | ||||
\(85\) | −1.33013 | − | 4.96410i | −0.144273 | − | 0.538432i | ||||
\(86\) | 13.8755 | + | 13.8755i | 1.49624 | + | 1.49624i | ||||
\(87\) | −6.43672 | + | 7.09871i | −0.690089 | + | 0.761062i | ||||
\(88\) | −6.29423 | + | 3.63397i | −0.670967 | + | 0.387383i | ||||
\(89\) | 2.60017 | − | 9.70398i | 0.275618 | − | 1.02862i | −0.679808 | − | 0.733390i | \(-0.737937\pi\) |
0.955426 | − | 0.295230i | \(-0.0953964\pi\) | |||||||
\(90\) | −7.10381 | + | 15.6603i | −0.748807 | + | 1.65074i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.72556 | + | 4.99826i | 1.00849 | + | 0.518296i | ||||
\(94\) | 11.4641 | + | 19.8564i | 1.18243 | + | 2.04803i | ||||
\(95\) | 1.23931 | − | 2.14655i | 0.127151 | − | 0.220232i | ||||
\(96\) | 2.24637 | + | 3.48568i | 0.229269 | + | 0.355756i | ||||
\(97\) | −12.5622 | + | 3.36603i | −1.27550 | + | 0.341768i | −0.832134 | − | 0.554575i | \(-0.812881\pi\) |
−0.443362 | + | 0.896343i | \(0.646214\pi\) | |||||||
\(98\) | −11.5630 | + | 3.09828i | −1.16803 | + | 0.312974i | ||||
\(99\) | −1.84997 | − | 4.92177i | −0.185929 | − | 0.494656i | ||||
\(100\) | 1.36603 | − | 2.36603i | 0.136603 | − | 0.236603i | ||||
\(101\) | 9.87002 | + | 17.0954i | 0.982104 | + | 1.70105i | 0.654160 | + | 0.756356i | \(0.273022\pi\) |
0.327944 | + | 0.944697i | \(0.393644\pi\) | |||||||
\(102\) | −4.06880 | + | 7.91704i | −0.402872 | + | 0.783903i | ||||
\(103\) | 6.92820i | 0.682656i | 0.939944 | + | 0.341328i | \(0.110877\pi\) | ||||
−0.939944 | + | 0.341328i | \(0.889123\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.73205 | + | 1.23931i | 0.559391 | + | 0.120945i | ||||
\(106\) | 2.86603 | − | 10.6962i | 0.278373 | − | 1.03890i | ||||
\(107\) | −14.4507 | + | 8.34312i | −1.39700 | + | 0.806560i | −0.994078 | − | 0.108673i | \(-0.965340\pi\) |
−0.402925 | + | 0.915233i | \(0.632007\pi\) | |||||||
\(108\) | 17.7974 | − | 7.70161i | 1.71255 | − | 0.741088i | ||||
\(109\) | −2.80385 | − | 2.80385i | −0.268560 | − | 0.268560i | 0.559960 | − | 0.828520i | \(-0.310817\pi\) |
−0.828520 | + | 0.559960i | \(0.810817\pi\) | |||||||
\(110\) | 2.60017 | + | 9.70398i | 0.247917 | + | 0.925239i | ||||
\(111\) | 11.8172 | − | 0.577958i | 1.12164 | − | 0.0548573i | ||||
\(112\) | −2.46410 | + | 2.46410i | −0.232836 | + | 0.232836i | ||||
\(113\) | 11.2309 | + | 6.48415i | 1.05651 | + | 0.609978i | 0.924465 | − | 0.381266i | \(-0.124512\pi\) |
0.132047 | + | 0.991243i | \(0.457845\pi\) | |||||||
\(114\) | −4.08759 | + | 1.31238i | −0.382838 | + | 0.122916i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −20.6473 | −1.91705 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.4641 | 1.05536 | ||||||||
\(119\) | 2.93225 | + | 0.785693i | 0.268799 | + | 0.0720244i | ||||
\(120\) | −16.3730 | + | 5.25678i | −1.49464 | + | 0.479876i | ||||
\(121\) | 6.86603 | + | 3.96410i | 0.624184 | + | 0.360373i | ||||
\(122\) | −11.8505 | + | 11.8505i | −1.07290 | + | 1.07290i | ||||
\(123\) | 1.10981 | − | 0.0542788i | 0.100068 | − | 0.00489415i | ||||
\(124\) | 6.09808 | + | 22.7583i | 0.547623 | + | 2.04376i | ||||
\(125\) | 7.22536 | + | 7.22536i | 0.646255 | + | 0.646255i | ||||
\(126\) | −5.91297 | − | 8.25916i | −0.526770 | − | 0.735784i | ||||
\(127\) | −13.0981 | + | 7.56218i | −1.16227 | + | 0.671035i | −0.951846 | − | 0.306576i | \(-0.900817\pi\) |
−0.210420 | + | 0.977611i | \(0.567483\pi\) | |||||||
\(128\) | −5.36639 | + | 20.0276i | −0.474326 | + | 1.77021i | ||||
\(129\) | −13.8755 | − | 3.00000i | −1.22167 | − | 0.264135i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.907241i | 0.0792660i | 0.999214 | + | 0.0396330i | \(0.0126189\pi\) | ||||
−0.999214 | + | 0.0396330i | \(0.987381\pi\) | |||||||
\(132\) | 5.17862 | − | 10.0765i | 0.450741 | − | 0.877046i | ||||
\(133\) | 0.732051 | + | 1.26795i | 0.0634769 | + | 0.109945i | ||||
\(134\) | −10.4897 | + | 18.1687i | −0.906170 | + | 1.56953i | ||||
\(135\) | −1.81734 | − | 12.3070i | −0.156412 | − | 1.05922i | ||||
\(136\) | −8.59808 | + | 2.30385i | −0.737279 | + | 0.197553i | ||||
\(137\) | −5.69846 | + | 1.52690i | −0.486852 | + | 0.130452i | −0.493891 | − | 0.869524i | \(-0.664426\pi\) |
0.00703925 | + | 0.999975i | \(0.497759\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.19615 | − | 2.07180i | 0.101456 | − | 0.175728i | −0.810829 | − | 0.585284i | \(-0.800983\pi\) |
0.912285 | + | 0.409556i | \(0.134316\pi\) | |||||||
\(140\) | 6.31812 | + | 10.9433i | 0.533978 | + | 0.924877i | ||||
\(141\) | −14.7530 | − | 7.58202i | −1.24243 | − | 0.638521i | ||||
\(142\) | 11.4641i | 0.962046i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.73205 | + | 3.05379i | 0.561004 | + | 0.254483i | ||||
\(145\) | −3.42820 | + | 12.7942i | −0.284697 | + | 1.06250i | ||||
\(146\) | 17.8811 | − | 10.3236i | 1.47985 | − | 0.854391i | ||||
\(147\) | 5.81727 | − | 6.41556i | 0.479800 | − | 0.529146i | ||||
\(148\) | 18.0263 | + | 18.0263i | 1.48175 | + | 1.48175i | ||||
\(149\) | 1.40535 | + | 5.24484i | 0.115131 | + | 0.429674i | 0.999297 | − | 0.0374992i | \(-0.0119392\pi\) |
−0.884166 | + | 0.467173i | \(0.845272\pi\) | |||||||
\(150\) | 0.148292 | + | 3.03206i | 0.0121080 | + | 0.247567i | ||||
\(151\) | 7.46410 | − | 7.46410i | 0.607420 | − | 0.607420i | −0.334851 | − | 0.942271i | \(-0.608686\pi\) |
0.942271 | + | 0.334851i | \(0.108686\pi\) | |||||||
\(152\) | −3.71794 | − | 2.14655i | −0.301565 | − | 0.174109i | ||||
\(153\) | −0.628400 | − | 6.40893i | −0.0508031 | − | 0.518131i | ||||
\(154\) | −5.73205 | − | 1.53590i | −0.461902 | − | 0.123766i | ||||
\(155\) | 15.1149 | 1.21405 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.1962 | −1.21278 | −0.606392 | − | 0.795165i | \(-0.707384\pi\) | ||||
−0.606392 | + | 0.795165i | \(0.707384\pi\) | |||||||
\(158\) | −4.62518 | − | 1.23931i | −0.367960 | − | 0.0985945i | ||||
\(159\) | 2.44894 | + | 7.62756i | 0.194214 | + | 0.604905i | ||||
\(160\) | 4.96410 | + | 2.86603i | 0.392447 | + | 0.226579i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −11.9868 | + | 17.9057i | −0.941772 | + | 1.40680i | ||||
\(163\) | 4.00000 | + | 14.9282i | 0.313304 | + | 1.16927i | 0.925558 | + | 0.378606i | \(0.123596\pi\) |
−0.612254 | + | 0.790661i | \(0.709737\pi\) | |||||||
\(164\) | 1.69293 | + | 1.69293i | 0.132196 | + | 0.132196i | ||||
\(165\) | −5.38413 | − | 4.88203i | −0.419154 | − | 0.380066i | ||||
\(166\) | 3.63397 | − | 2.09808i | 0.282051 | − | 0.162842i | ||||
\(167\) | −3.05379 | + | 11.3969i | −0.236310 | + | 0.881920i | 0.741244 | + | 0.671235i | \(0.234236\pi\) |
−0.977554 | + | 0.210685i | \(0.932431\pi\) | |||||||
\(168\) | 2.14655 | − | 9.92820i | 0.165610 | − | 0.765978i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 12.3042i | 0.943686i | ||||||||
\(171\) | 1.97136 | − | 2.39998i | 0.150754 | − | 0.183531i | ||||
\(172\) | −15.2942 | − | 26.4904i | −1.16617 | − | 2.01987i | ||||
\(173\) | 3.71794 | − | 6.43966i | 0.282670 | − | 0.489598i | −0.689372 | − | 0.724408i | \(-0.742113\pi\) |
0.972041 | + | 0.234809i | \(0.0754466\pi\) | |||||||
\(174\) | 19.2843 | − | 12.4279i | 1.46194 | − | 0.942154i | ||||
\(175\) | 1.00000 | − | 0.267949i | 0.0755929 | − | 0.0202551i | ||||
\(176\) | 4.17156 | − | 1.11777i | 0.314443 | − | 0.0842548i | ||||
\(177\) | −6.97136 | + | 4.49274i | −0.524000 | + | 0.337695i | ||||
\(178\) | −12.0263 | + | 20.8301i | −0.901408 | + | 1.56128i | ||||
\(179\) | −9.37191 | − | 16.2326i | −0.700489 | − | 1.21328i | −0.968295 | − | 0.249810i | \(-0.919632\pi\) |
0.267805 | − | 0.963473i | \(-0.413702\pi\) | |||||||
\(180\) | 17.0143 | − | 20.7135i | 1.26817 | − | 1.54389i | ||||
\(181\) | − | 3.00000i | − | 0.222988i | −0.993765 | − | 0.111494i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111494i | \(-0.0355636\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.56218 | − | 11.8505i | 0.189402 | − | 0.876017i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 14.1631 | − | 8.17709i | 1.04129 | − | 0.601191i | ||||
\(186\) | −19.3940 | − | 17.5854i | −1.42204 | − | 1.28943i | ||||
\(187\) | −2.66025 | − | 2.66025i | −0.194537 | − | 0.194537i | ||||
\(188\) | −9.25036 | − | 34.5228i | −0.674652 | − | 2.51784i | ||||
\(189\) | 6.83243 | + | 2.70515i | 0.496986 | + | 0.196771i | ||||
\(190\) | −4.19615 | + | 4.19615i | −0.304421 | + | 0.304421i | ||||
\(191\) | 16.8078 | + | 9.70398i | 1.21617 | + | 0.702156i | 0.964096 | − | 0.265553i | \(-0.0855544\pi\) |
0.252073 | + | 0.967708i | \(0.418888\pi\) | |||||||
\(192\) | −5.64439 | − | 17.5802i | −0.407349 | − | 1.26874i | ||||
\(193\) | −6.96410 | − | 1.86603i | −0.501287 | − | 0.134319i | −0.000689767 | − | 1.00000i | \(-0.500220\pi\) |
−0.500597 | + | 0.865680i | \(0.666886\pi\) | |||||||
\(194\) | 31.1370 | 2.23550 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 18.6603 | 1.33288 | ||||||||
\(197\) | 1.69293 | + | 0.453620i | 0.120617 | + | 0.0323191i | 0.318622 | − | 0.947882i | \(-0.396780\pi\) |
−0.198006 | + | 0.980201i | \(0.563446\pi\) | |||||||
\(198\) | 1.22842 | + | 12.5284i | 0.0872998 | + | 0.890353i | ||||
\(199\) | −0.803848 | − | 0.464102i | −0.0569832 | − | 0.0328993i | 0.471238 | − | 0.882006i | \(-0.343807\pi\) |
−0.528221 | + | 0.849107i | \(0.677141\pi\) | |||||||
\(200\) | −2.14655 | + | 2.14655i | −0.151784 | + | 0.151784i | ||||
\(201\) | −0.741412 | − | 15.1593i | −0.0522952 | − | 1.06925i | ||||
\(202\) | −12.2321 | − | 45.6506i | −0.860644 | − | 3.21197i | ||||
\(203\) | −5.53242 | − | 5.53242i | −0.388300 | − | 0.388300i | ||||
\(204\) | 9.32049 | − | 10.2791i | 0.652565 | − | 0.719679i | ||||
\(205\) | 1.33013 | − | 0.767949i | 0.0929001 | − | 0.0536359i | ||||
\(206\) | 4.29311 | − | 16.0221i | 0.299115 | − | 1.11631i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 1.81448i | − | 0.125510i | ||||||
\(210\) | −12.4879 | − | 6.41793i | −0.861750 | − | 0.442879i | ||||
\(211\) | 6.09808 | + | 10.5622i | 0.419809 | + | 0.727130i | 0.995920 | − | 0.0902411i | \(-0.0287638\pi\) |
−0.576111 | + | 0.817371i | \(0.695430\pi\) | |||||||
\(212\) | −8.63071 | + | 14.9488i | −0.592759 | + | 1.02669i | ||||
\(213\) | −4.49274 | − | 6.97136i | −0.307837 | − | 0.477670i | ||||
\(214\) | 38.5885 | − | 10.3397i | 2.63785 | − | 0.706810i | ||||
\(215\) | −18.9543 | + | 5.07880i | −1.29268 | + | 0.346371i | ||||
\(216\) | −21.3164 | + | 3.14772i | −1.45040 | + | 0.214176i | ||||
\(217\) | −4.46410 | + | 7.73205i | −0.303043 | + | 0.524886i | ||||
\(218\) | 4.74673 | + | 8.22158i | 0.321489 | + | 0.556835i | ||||
\(219\) | −6.82775 | + | 13.2854i | −0.461377 | + | 0.897742i | ||||
\(220\) | − | 15.6603i | − | 1.05581i | ||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −27.6865 | − | 5.98604i | −1.85820 | − | 0.401757i | ||||
\(223\) | −5.97372 | + | 22.2942i | −0.400030 | + | 1.49293i | 0.413011 | + | 0.910726i | \(0.364477\pi\) |
−0.813041 | + | 0.582206i | \(0.802190\pi\) | |||||||
\(224\) | −2.93225 | + | 1.69293i | −0.195919 | + | 0.113114i | ||||
\(225\) | −1.27843 | − | 1.78569i | −0.0852287 | − | 0.119046i | ||||
\(226\) | −21.9545 | − | 21.9545i | −1.46039 | − | 1.46039i | ||||
\(227\) | 4.05001 | + | 15.1149i | 0.268809 | + | 1.00321i | 0.959878 | + | 0.280419i | \(0.0904735\pi\) |
−0.691069 | + | 0.722789i | \(0.742860\pi\) | |||||||
\(228\) | 6.68414 | − | 0.326909i | 0.442668 | − | 0.0216500i | ||||
\(229\) | 10.1244 | − | 10.1244i | 0.669036 | − | 0.669036i | −0.288457 | − | 0.957493i | \(-0.593142\pi\) |
0.957493 | + | 0.288457i | \(0.0931421\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.08759 | − | 1.31238i | 0.268944 | − | 0.0863485i | ||||
\(232\) | 22.1603 | + | 5.93782i | 1.45489 | + | 0.389837i | ||||
\(233\) | −7.43588 | −0.487141 | −0.243570 | − | 0.969883i | \(-0.578319\pi\) | ||||
−0.243570 | + | 0.969883i | \(0.578319\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −22.9282 | −1.49567 | ||||||||
\(236\) | −17.2614 | − | 4.62518i | −1.12362 | − | 0.301074i | ||||
\(237\) | 3.29827 | − | 1.05896i | 0.214246 | − | 0.0687868i | ||||
\(238\) | −6.29423 | − | 3.63397i | −0.407994 | − | 0.235556i | ||||
\(239\) | −7.10381 | + | 7.10381i | −0.459507 | + | 0.459507i | −0.898494 | − | 0.438986i | \(-0.855338\pi\) |
0.438986 | + | 0.898494i | \(0.355338\pi\) | |||||||
\(240\) | 10.2060 | − | 0.499156i | 0.658794 | − | 0.0322204i | ||||
\(241\) | −1.93782 | − | 7.23205i | −0.124826 | − | 0.465857i | 0.875007 | − | 0.484110i | \(-0.160856\pi\) |
−0.999833 | + | 0.0182524i | \(0.994190\pi\) | |||||||
\(242\) | −13.4219 | − | 13.4219i | −0.862794 | − | 0.862794i | ||||
\(243\) | 0.272062 | − | 15.5861i | 0.0174528 | − | 0.999848i | ||||
\(244\) | 22.6244 | − | 13.0622i | 1.44838 | − | 0.836220i | ||||
\(245\) | 3.09828 | − | 11.5630i | 0.197942 | − | 0.738730i | ||||
\(246\) | −2.60017 | − | 0.562178i | −0.165781 | − | 0.0358431i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 26.1797i | − | 1.66241i | ||||||
\(249\) | −1.38761 | + | 2.69999i | −0.0879360 | + | 0.171105i | ||||
\(250\) | −12.2321 | − | 21.1865i | −0.773623 | − | 1.33995i | ||||
\(251\) | −10.9433 | + | 18.9543i | −0.690735 | + | 1.19639i | 0.280863 | + | 0.959748i | \(0.409379\pi\) |
−0.971597 | + | 0.236640i | \(0.923954\pi\) | |||||||
\(252\) | 5.57097 | + | 14.8213i | 0.350938 | + | 0.933656i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 34.9764 | − | 9.37191i | 2.19462 | − | 0.588046i | ||||
\(255\) | −4.82195 | − | 7.48221i | −0.301962 | − | 0.468554i | ||||
\(256\) | 14.1603 | − | 24.5263i | 0.885016 | − | 1.53289i | ||||
\(257\) | 8.29863 | + | 14.3737i | 0.517655 | + | 0.896604i | 0.999790 | + | 0.0205071i | \(0.00652807\pi\) |
−0.482135 | + | 0.876097i | \(0.660139\pi\) | |||||||
\(258\) | 30.2295 | + | 15.5358i | 1.88201 | + | 0.967220i | ||||
\(259\) | 9.66025i | 0.600259i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.85641 | + | 15.1149i | −0.424401 | + | 0.935586i | ||||
\(262\) | 0.562178 | − | 2.09808i | 0.0347315 | − | 0.129620i | ||||
\(263\) | −10.3681 | + | 5.98604i | −0.639326 | + | 0.369115i | −0.784355 | − | 0.620312i | \(-0.787006\pi\) |
0.145029 | + | 0.989427i | \(0.453673\pi\) | |||||||
\(264\) | −8.45593 | + | 9.32559i | −0.520426 | + | 0.573950i | ||||
\(265\) | 7.83013 | + | 7.83013i | 0.481001 | + | 0.481001i | ||||
\(266\) | −0.907241 | − | 3.38587i | −0.0556265 | − | 0.207601i | ||||
\(267\) | −0.850019 | − | 17.3799i | −0.0520203 | − | 1.06363i | ||||
\(268\) | 23.1244 | − | 23.1244i | 1.41254 | − | 1.41254i | ||||
\(269\) | −9.58244 | − | 5.53242i | −0.584251 | − | 0.337318i | 0.178570 | − | 0.983927i | \(-0.442853\pi\) |
−0.762821 | + | 0.646610i | \(0.776186\pi\) | |||||||
\(270\) | −3.42336 | + | 29.5872i | −0.208339 | + | 1.80062i | ||||
\(271\) | −2.00000 | − | 0.535898i | −0.121491 | − | 0.0325535i | 0.197561 | − | 0.980291i | \(-0.436698\pi\) |
−0.319052 | + | 0.947737i | \(0.603365\pi\) | |||||||
\(272\) | 5.28933 | 0.320713 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.1244 | 0.853284 | ||||||||
\(275\) | −1.23931 | − | 0.332073i | −0.0747334 | − | 0.0200248i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.10770 | − | 1.79423i | −0.186723 | − | 0.107805i | 0.403724 | − | 0.914881i | \(-0.367715\pi\) |
−0.590448 | + | 0.807076i | \(0.701049\pi\) | |||||||
\(278\) | −4.05001 | + | 4.05001i | −0.242904 | + | 0.242904i | ||||
\(279\) | 18.6853 | + | 3.09333i | 1.11866 | + | 0.185193i | ||||
\(280\) | −3.63397 | − | 13.5622i | −0.217172 | − | 0.810495i | ||||
\(281\) | 15.9006 | + | 15.9006i | 0.948547 | + | 0.948547i | 0.998740 | − | 0.0501922i | \(-0.0159834\pi\) |
−0.0501922 | + | 0.998740i | \(0.515983\pi\) | |||||||
\(282\) | 29.4194 | + | 26.6759i | 1.75190 | + | 1.58853i | ||||
\(283\) | 21.2942 | − | 12.2942i | 1.26581 | − | 0.730816i | 0.291618 | − | 0.956535i | \(-0.405806\pi\) |
0.974192 | + | 0.225719i | \(0.0724731\pi\) | |||||||
\(284\) | 4.62518 | − | 17.2614i | 0.274454 | − | 1.02428i | ||||
\(285\) | 0.907241 | − | 4.19615i | 0.0537403 | − | 0.248559i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.907241i | 0.0535527i | ||||||||
\(288\) | 5.55017 | + | 4.55896i | 0.327047 | + | 0.268639i | ||||
\(289\) | 6.19615 | + | 10.7321i | 0.364480 | + | 0.631297i | ||||
\(290\) | 15.8561 | − | 27.4635i | 0.931100 | − | 1.61271i | ||||
\(291\) | −18.9345 | + | 12.2025i | −1.10996 | + | 0.715320i | ||||
\(292\) | −31.0885 | + | 8.33013i | −1.81931 | + | 0.487484i | ||||
\(293\) | 21.2669 | − | 5.69846i | 1.24243 | − | 0.332908i | 0.423021 | − | 0.906120i | \(-0.360970\pi\) |
0.819407 | + | 0.573212i | \(0.194303\pi\) | |||||||
\(294\) | −17.4284 | + | 11.2318i | −1.01645 | + | 0.655054i | ||||
\(295\) | −5.73205 | + | 9.92820i | −0.333733 | + | 0.578042i | ||||
\(296\) | −14.1631 | − | 24.5313i | −0.823215 | − | 1.42585i | ||||
\(297\) | −5.65683 | − | 7.13714i | −0.328242 | − | 0.414139i | ||||
\(298\) | − | 13.0000i | − | 0.753070i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | − | 4.62518i | 0.0577350 | − | 0.267035i | ||||
\(301\) | 3.00000 | − | 11.1962i | 0.172917 | − | 0.645335i | ||||
\(302\) | −21.8866 | + | 12.6362i | −1.25943 | + | 0.727133i | ||||
\(303\) | 25.3287 | + | 22.9666i | 1.45509 | + | 1.31940i | ||||
\(304\) | 1.80385 | + | 1.80385i | 0.103458 | + | 0.103458i | ||||
\(305\) | −4.33760 | − | 16.1881i | −0.248370 | − | 0.926930i | ||||
\(306\) | −2.51810 | + | 15.2106i | −0.143950 | + | 0.869533i | ||||
\(307\) | −12.3923 | + | 12.3923i | −0.707266 | + | 0.707266i | −0.965960 | − | 0.258693i | \(-0.916708\pi\) |
0.258693 | + | 0.965960i | \(0.416708\pi\) | |||||||
\(308\) | 8.01105 | + | 4.62518i | 0.456472 | + | 0.263544i | ||||
\(309\) | 3.66834 | + | 11.4256i | 0.208685 | + | 0.649977i | ||||
\(310\) | −34.9545 | − | 9.36603i | −1.98528 | − | 0.531954i | ||||
\(311\) | 4.29311 | 0.243440 | 0.121720 | − | 0.992564i | \(-0.461159\pi\) | ||||
0.121720 | + | 0.992564i | \(0.461159\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.00000 | 0.113047 | 0.0565233 | − | 0.998401i | \(-0.481998\pi\) | ||||
0.0565233 | + | 0.998401i | \(0.481998\pi\) | |||||||
\(314\) | 35.1425 | + | 9.41640i | 1.98321 | + | 0.531398i | ||||
\(315\) | 10.1091 | − | 0.991207i | 0.569585 | − | 0.0558482i | ||||
\(316\) | 6.46410 | + | 3.73205i | 0.363634 | + | 0.209944i | ||||
\(317\) | 11.2754 | − | 11.2754i | 0.633288 | − | 0.633288i | −0.315603 | − | 0.948891i | \(-0.602207\pi\) |
0.948891 | + | 0.315603i | \(0.102207\pi\) | |||||||
\(318\) | −0.936928 | − | 19.1569i | −0.0525403 | − | 1.07427i | ||||
\(319\) | 2.50962 | + | 9.36603i | 0.140512 | + | 0.524397i | ||||
\(320\) | −18.0471 | − | 18.0471i | −1.00886 | − | 1.00886i | ||||
\(321\) | −19.4137 | + | 21.4103i | −1.08357 | + | 1.19501i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.575167 | − | 2.14655i | 0.0320032 | − | 0.119437i | ||||
\(324\) | 25.2725 | − | 22.1244i | 1.40403 | − | 1.22913i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | − | 37.0015i | − | 2.04932i | ||||||
\(327\) | −6.10851 | − | 3.13935i | −0.337801 | − | 0.173606i | ||||
\(328\) | −1.33013 | − | 2.30385i | −0.0734440 | − | 0.127209i | ||||
\(329\) | 6.77174 | − | 11.7290i | 0.373338 | − | 0.646640i | ||||
\(330\) | 9.42610 | + | 14.6265i | 0.518890 | + | 0.805160i | ||||
\(331\) | −18.8564 | + | 5.05256i | −1.03644 | + | 0.277714i | −0.736638 | − | 0.676287i | \(-0.763588\pi\) |
−0.299804 | + | 0.954001i | \(0.596921\pi\) | |||||||
\(332\) | −6.31812 | + | 1.69293i | −0.346752 | + | 0.0929118i | ||||
\(333\) | 19.1822 | − | 7.21011i | 1.05118 | − | 0.395112i | ||||
\(334\) | 14.1244 | − | 24.4641i | 0.772850 | − | 1.33862i | ||||
\(335\) | −10.4897 | − | 18.1687i | −0.573112 | − | 0.992660i | ||||
\(336\) | −2.75895 | + | 5.36833i | −0.150513 | + | 0.292867i | ||||
\(337\) | 11.5359i | 0.628400i | 0.949357 | + | 0.314200i | \(0.101736\pi\) | ||||
−0.949357 | + | 0.314200i | \(0.898264\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 21.9545 | + | 4.74673i | 1.19240 | + | 0.257807i | ||||
\(340\) | 4.96410 | − | 18.5263i | 0.269216 | − | 1.00473i | ||||
\(341\) | 9.58244 | − | 5.53242i | 0.518918 | − | 0.299597i | ||||
\(342\) | −6.04612 | + | 4.32860i | −0.326937 | + | 0.234064i | ||||
\(343\) | 12.0000 | + | 12.0000i | 0.647939 | + | 0.647939i | ||||
\(344\) | 8.79674 | + | 32.8299i | 0.474289 | + | 1.77007i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.5885 | + | 12.5885i | −0.676760 | + | 0.676760i | ||||
\(347\) | −22.4618 | − | 12.9683i | −1.20581 | − | 0.696175i | −0.243969 | − | 0.969783i | \(-0.578450\pi\) |
−0.961841 | + | 0.273608i | \(0.911783\pi\) | |||||||
\(348\) | −34.0502 | + | 10.9323i | −1.82528 | + | 0.586034i | ||||
\(349\) | −5.63397 | − | 1.50962i | −0.301580 | − | 0.0808080i | 0.104856 | − | 0.994487i | \(-0.466562\pi\) |
−0.406436 | + | 0.913679i | \(0.633228\pi\) | |||||||
\(350\) | −2.47863 | −0.132488 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.19615 | 0.223656 | ||||||||
\(353\) | −26.3457 | − | 7.05932i | −1.40224 | − | 0.375730i | −0.523093 | − | 0.852276i | \(-0.675222\pi\) |
−0.879149 | + | 0.476546i | \(0.841889\pi\) | |||||||
\(354\) | 18.9059 | − | 6.07001i | 1.00484 | − | 0.322617i | ||||
\(355\) | −9.92820 | − | 5.73205i | −0.526934 | − | 0.304226i | ||||
\(356\) | 26.5118 | − | 26.5118i | 1.40512 | − | 1.40512i | ||||
\(357\) | 5.25169 | − | 0.256850i | 0.277949 | − | 0.0135939i | ||||
\(358\) | 11.6147 | + | 43.3468i | 0.613858 | + | 2.29095i | ||||
\(359\) | −12.0611 | − | 12.0611i | −0.636559 | − | 0.636559i | 0.313146 | − | 0.949705i | \(-0.398617\pi\) |
−0.949705 | + | 0.313146i | \(0.898617\pi\) | |||||||
\(360\) | −24.2179 | + | 17.3383i | −1.27639 | + | 0.913809i | ||||
\(361\) | −15.5263 | + | 8.96410i | −0.817173 | + | 0.471795i | ||||
\(362\) | −1.85897 | + | 6.93777i | −0.0977053 | + | 0.364641i | ||||
\(363\) | 13.4219 | + | 2.90192i | 0.704468 | + | 0.152311i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.6473i | 1.08073i | ||||||||
\(366\) | −13.2685 | + | 25.8178i | −0.693557 | + | 1.34952i | ||||
\(367\) | −4.80385 | − | 8.32051i | −0.250759 | − | 0.434327i | 0.712976 | − | 0.701188i | \(-0.247347\pi\) |
−0.963735 | + | 0.266861i | \(0.914013\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.80149 | − | 0.677136i | 0.0937819 | − | 0.0352503i | ||||
\(370\) | −37.8205 | + | 10.1340i | −1.96619 | + | 0.526840i | ||||
\(371\) | −6.31812 | + | 1.69293i | −0.328020 | + | 0.0878928i | ||||
\(372\) | 22.1066 | + | 34.3028i | 1.14618 | + | 1.77852i | ||||
\(373\) | 9.79423 | − | 16.9641i | 0.507126 | − | 0.878368i | −0.492840 | − | 0.870120i | \(-0.664041\pi\) |
0.999966 | − | 0.00824796i | \(-0.00262544\pi\) | |||||||
\(374\) | 4.50363 | + | 7.80052i | 0.232877 | + | 0.403355i | ||||
\(375\) | 15.7413 | + | 8.08992i | 0.812876 | + | 0.417762i | ||||
\(376\) | 39.7128i | 2.04803i | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −14.1244 | − | 10.4897i | −0.726478 | − | 0.539531i | ||||
\(379\) | 1.29423 | − | 4.83013i | 0.0664801 | − | 0.248107i | −0.924687 | − | 0.380729i | \(-0.875673\pi\) |
0.991167 | + | 0.132622i | \(0.0423397\pi\) | |||||||
\(380\) | 8.01105 | − | 4.62518i | 0.410958 | − | 0.237267i | ||||
\(381\) | −17.5965 | + | 19.4062i | −0.901496 | + | 0.994211i | ||||
\(382\) | −32.8564 | − | 32.8564i | −1.68108 | − | 1.68108i | ||||
\(383\) | 3.62896 | + | 13.5435i | 0.185431 | + | 0.692039i | 0.994538 | + | 0.104377i | \(0.0332849\pi\) |
−0.809106 | + | 0.587662i | \(0.800048\pi\) | |||||||
\(384\) | 1.75432 | + | 35.8697i | 0.0895246 | + | 1.83047i | ||||
\(385\) | 4.19615 | − | 4.19615i | 0.213856 | − | 0.213856i | ||||
\(386\) | 14.9488 | + | 8.63071i | 0.760875 | + | 0.439291i | ||||
\(387\) | −24.4711 | + | 2.39941i | −1.24394 | + | 0.121969i | ||||
\(388\) | −46.8827 | − | 12.5622i | −2.38011 | − | 0.637748i | ||||
\(389\) | −5.28933 | −0.268180 | −0.134090 | − | 0.990969i | \(-0.542811\pi\) | ||||
−0.134090 | + | 0.990969i | \(0.542811\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −20.0276 | − | 5.36639i | −1.01155 | − | 0.271043i | ||||
\(393\) | 0.480365 | + | 1.49616i | 0.0242312 | + | 0.0754715i | ||||
\(394\) | −3.63397 | − | 2.09808i | −0.183077 | − | 0.105700i | ||||
\(395\) | 3.38587 | − | 3.38587i | 0.170362 | − | 0.170362i | ||||
\(396\) | 3.20495 | − | 19.3595i | 0.161055 | − | 0.972851i | ||||
\(397\) | −2.29423 | − | 8.56218i | −0.115144 | − | 0.429723i | 0.884154 | − | 0.467196i | \(-0.154736\pi\) |
−0.999298 | + | 0.0374729i | \(0.988069\pi\) | |||||||
\(398\) | 1.57139 | + | 1.57139i | 0.0787665 | + | 0.0787665i | ||||
\(399\) | 1.87861 | + | 1.70342i | 0.0940479 | + | 0.0852774i | ||||
\(400\) | 1.56218 | − | 0.901924i | 0.0781089 | − | 0.0450962i | ||||
\(401\) | −7.26985 | + | 27.1314i | −0.363039 | + | 1.35488i | 0.507021 | + | 0.861933i | \(0.330747\pi\) |
−0.870060 | + | 0.492946i | \(0.835920\pi\) | |||||||
\(402\) | −7.67898 | + | 35.5167i | −0.382993 | + | 1.77141i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 73.6708i | 3.66526i | ||||||||
\(405\) | −9.51336 | − | 19.3337i | −0.472722 | − | 0.960700i | ||||
\(406\) | 9.36603 | + | 16.2224i | 0.464828 | + | 0.805106i | ||||
\(407\) | 5.98604 | − | 10.3681i | 0.296717 | − | 0.513929i | ||||
\(408\) | −12.9596 | + | 8.35187i | −0.641594 | + | 0.413479i | ||||
\(409\) | −11.2321 | + | 3.00962i | −0.555389 | + | 0.148816i | −0.525587 | − | 0.850740i | \(-0.676154\pi\) |
−0.0298020 | + | 0.999556i | \(0.509488\pi\) | |||||||
\(410\) | −3.55190 | + | 0.951730i | −0.175416 | + | 0.0470026i | ||||
\(411\) | −8.58908 | + | 5.53528i | −0.423668 | + | 0.273035i | ||||
\(412\) | −12.9282 | + | 22.3923i | −0.636927 | + | 1.10319i | ||||
\(413\) | −3.38587 | − | 5.86450i | −0.166608 | − | 0.288573i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.19615i | 0.205981i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.875644 | − | 4.05001i | 0.0428805 | − | 0.198330i | ||||
\(418\) | −1.12436 | + | 4.19615i | −0.0549940 | + | 0.205241i | ||||
\(419\) | 7.22536 | − | 4.17156i | 0.352982 | − | 0.203794i | −0.313016 | − | 0.949748i | \(-0.601339\pi\) |
0.665998 | + | 0.745954i | \(0.268006\pi\) | |||||||
\(420\) | 16.2137 | + | 14.7017i | 0.791147 | + | 0.717368i | ||||
\(421\) | 0.830127 | + | 0.830127i | 0.0404579 | + | 0.0404579i | 0.727046 | − | 0.686588i | \(-0.240893\pi\) |
−0.686588 | + | 0.727046i | \(0.740893\pi\) | |||||||
\(422\) | −7.55743 | − | 28.2047i | −0.367890 | − | 1.37298i | ||||
\(423\) | −28.3443 | − | 4.69237i | −1.37815 | − | 0.228151i | ||||
\(424\) | 13.5622 | − | 13.5622i | 0.658638 | − | 0.658638i | ||||
\(425\) | −1.36086 | − | 0.785693i | −0.0660114 | − | 0.0381117i | ||||
\(426\) | 6.07001 | + | 18.9059i | 0.294093 | + | 0.915992i | ||||
\(427\) | 9.56218 | + | 2.56218i | 0.462746 | + | 0.123992i | ||||
\(428\) | −62.2739 | −3.01012 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 46.9808 | 2.26561 | ||||||||
\(431\) | −2.02501 | − | 0.542599i | −0.0975412 | − | 0.0261361i | 0.209718 | − | 0.977762i | \(-0.432745\pi\) |
−0.307260 | + | 0.951626i | \(0.599412\pi\) | |||||||
\(432\) | 12.7190 | + | 1.47164i | 0.611943 | + | 0.0708043i | ||||
\(433\) | 6.10770 | + | 3.52628i | 0.293517 | + | 0.169462i | 0.639527 | − | 0.768769i | \(-0.279130\pi\) |
−0.346010 | + | 0.938231i | \(0.612464\pi\) | |||||||
\(434\) | 15.1149 | − | 15.1149i | 0.725536 | − | 0.725536i | ||||
\(435\) | 1.12071 | + | 22.9146i | 0.0537339 | + | 1.09867i | ||||
\(436\) | −3.83013 | − | 14.2942i | −0.183430 | − | 0.684569i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.0222 | − | 26.4928i | 1.14782 | − | 1.26587i | ||||
\(439\) | 4.09808 | − | 2.36603i | 0.195591 | − | 0.112924i | −0.399007 | − | 0.916948i | \(-0.630645\pi\) |
0.594597 | + | 0.804024i | \(0.297312\pi\) | |||||||
\(440\) | −4.50363 | + | 16.8078i | −0.214702 | + | 0.801280i | ||||
\(441\) | 6.19657 | − | 13.6603i | 0.295075 | − | 0.650488i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 29.5656i | − | 1.40470i | −0.711830 | − | 0.702351i | \(-0.752134\pi\) | ||
0.711830 | − | 0.702351i | \(-0.247866\pi\) | |||||||
\(444\) | 39.2723 | + | 20.1832i | 1.86378 | + | 0.957855i | ||||
\(445\) | −12.0263 | − | 20.8301i | −0.570100 | − | 0.987443i | ||||
\(446\) | 27.6295 | − | 47.8558i | 1.30830 | − | 2.26604i | ||||
\(447\) | 5.09465 | + | 7.90535i | 0.240969 | + | 0.373910i | ||||
\(448\) | 14.5622 | − | 3.90192i | 0.687998 | − | 0.184349i | ||||
\(449\) | 8.46467 | − | 2.26810i | 0.399472 | − | 0.107038i | −0.0534890 | − | 0.998568i | \(-0.517034\pi\) |
0.452961 | + | 0.891530i | \(0.350368\pi\) | |||||||
\(450\) | 1.84997 | + | 4.92177i | 0.0872084 | + | 0.232014i | ||||
\(451\) | 0.562178 | − | 0.973721i | 0.0264719 | − | 0.0458507i | ||||
\(452\) | 24.1992 | + | 41.9142i | 1.13823 | + | 1.97148i | ||||
\(453\) | 8.35723 | − | 16.2614i | 0.392657 | − | 0.764028i | ||||
\(454\) | − | 37.4641i | − | 1.75828i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.26795 | − | 1.57139i | −0.340353 | − | 0.0735869i | ||||
\(457\) | 7.23205 | − | 26.9904i | 0.338301 | − | 1.26256i | −0.561945 | − | 0.827175i | \(-0.689947\pi\) |
0.900246 | − | 0.435382i | \(-0.143387\pi\) | |||||||
\(458\) | −29.6871 | + | 17.1399i | −1.38719 | + | 0.800893i | ||||
\(459\) | −4.42972 | − | 10.2365i | −0.206761 | − | 0.477798i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.27363 | + | 23.4135i | 0.292192 | + | 1.09048i | 0.943422 | + | 0.331595i | \(0.107587\pi\) |
−0.651230 | + | 0.758880i | \(0.725747\pi\) | |||||||
\(462\) | −10.2662 | + | 0.502098i | −0.477625 | + | 0.0233597i | ||||
\(463\) | −15.0526 | + | 15.0526i | −0.699552 | + | 0.699552i | −0.964314 | − | 0.264762i | \(-0.914707\pi\) |
0.264762 | + | 0.964314i | \(0.414707\pi\) | |||||||
\(464\) | −11.8060 | − | 6.81623i | −0.548082 | − | 0.316435i | ||||
\(465\) | 24.9265 | − | 8.00301i | 1.15594 | − | 0.371131i | ||||
\(466\) | 17.1962 | + | 4.60770i | 0.796596 | + | 0.213447i | ||||
\(467\) | −30.4728 | −1.41011 | −0.705057 | − | 0.709151i | \(-0.749079\pi\) | ||||
−0.705057 | + | 0.709151i | \(0.749079\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.3923 | 0.572223 | ||||||||
\(470\) | 53.0236 | + | 14.2076i | 2.44579 | + | 0.655349i | ||||
\(471\) | −25.0605 | + | 8.04605i | −1.15473 | + | 0.370743i | ||||
\(472\) | 17.1962 | + | 9.92820i | 0.791517 | + | 0.456983i | ||||
\(473\) | −10.1576 | + | 10.1576i | −0.467047 | + | 0.467047i | ||||
\(474\) | −8.28375 | + | 0.405142i | −0.380485 | + | 0.0186088i | ||||
\(475\) | −0.196152 | − | 0.732051i | −0.00900009 | − | 0.0335888i | ||||
\(476\) | 8.01105 | + | 8.01105i | 0.367186 | + | 0.367186i | ||||
\(477\) | 8.07727 | + | 11.2822i | 0.369833 | + | 0.516577i | ||||
\(478\) | 20.8301 | − | 12.0263i | 0.952748 | − | 0.550069i | ||||
\(479\) | −2.26810 | + | 8.46467i | −0.103632 | + | 0.386761i | −0.998186 | − | 0.0601988i | \(-0.980827\pi\) |
0.894554 | + | 0.446959i | \(0.147493\pi\) | |||||||
\(480\) | 9.70398 | + | 2.09808i | 0.442924 | + | 0.0957636i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 17.9256i | 0.816487i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.7942 | + | 25.6244i | 0.672465 | + | 1.16474i | ||||
\(485\) | −15.5685 | + | 26.9654i | −0.706928 | + | 1.22444i | ||||
\(486\) | −10.2872 | + | 35.8756i | −0.466636 | + | 1.62735i | ||||
\(487\) | 24.4904 | − | 6.56218i | 1.10977 | − | 0.297361i | 0.343030 | − | 0.939324i | \(-0.388547\pi\) |
0.766735 | + | 0.641964i | \(0.221880\pi\) | |||||||
\(488\) | −28.0387 | + | 7.51294i | −1.26925 | + | 0.340095i | ||||
\(489\) | 14.5007 | + | 22.5007i | 0.655746 | + | 1.01752i | ||||
\(490\) | −14.3301 | + | 24.8205i | −0.647369 | + | 1.12128i | ||||
\(491\) | −12.5147 | − | 21.6761i | −0.564780 | − | 0.978227i | −0.997070 | − | 0.0764928i | \(-0.975628\pi\) |
0.432290 | − | 0.901734i | \(-0.357706\pi\) | |||||||
\(492\) | 3.68825 | + | 1.89551i | 0.166279 | + | 0.0854560i | ||||
\(493\) | 11.8756i | 0.534852i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −11.4641 | − | 5.20035i | −0.515273 | − | 0.233738i | ||||
\(496\) | −4.02628 | + | 15.0263i | −0.180785 | + | 0.674700i | ||||
\(497\) | 5.86450 | − | 3.38587i | 0.263059 | − | 0.151877i | ||||
\(498\) | 4.88203 | − | 5.38413i | 0.218769 | − | 0.241269i | ||||
\(499\) | 4.46410 | + | 4.46410i | 0.199841 | + | 0.199841i | 0.799932 | − | 0.600091i | \(-0.204869\pi\) |
−0.600091 | + | 0.799932i | \(0.704869\pi\) | |||||||
\(500\) | 9.87002 | + | 36.8354i | 0.441401 | + | 1.64733i | ||||
\(501\) | 0.998312 | + | 20.4120i | 0.0446013 | + | 0.911941i | ||||
\(502\) | 37.0526 | − | 37.0526i | 1.65374 | − | 1.65374i | ||||
\(503\) | −24.8188 | − | 14.3292i | −1.10662 | − | 0.638906i | −0.168666 | − | 0.985673i | \(-0.553946\pi\) |
−0.937951 | + | 0.346767i | \(0.887279\pi\) | |||||||
\(504\) | −1.71682 | − | 17.5095i | −0.0764733 | − | 0.779936i | ||||
\(505\) | 45.6506 | + | 12.2321i | 2.03143 | + | 0.544319i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −56.4449 | −2.50434 | ||||||||
\(509\) | 14.4952 | + | 3.88398i | 0.642489 | + | 0.172154i | 0.565330 | − | 0.824865i | \(-0.308749\pi\) |
0.0771582 | + | 0.997019i | \(0.475415\pi\) | |||||||
\(510\) | 6.51480 | + | 20.2912i | 0.288480 | + | 0.898511i | ||||
\(511\) | −10.5622 | − | 6.09808i | −0.467243 | − | 0.269763i | ||||
\(512\) | −18.6223 | + | 18.6223i | −0.822996 | + | 0.822996i | ||||
\(513\) | 1.98031 | − | 5.00169i | 0.0874328 | − | 0.220830i | ||||
\(514\) | −10.2846 | − | 38.3827i | −0.453635 | − | 1.69299i | ||||
\(515\) | 11.7290 | + | 11.7290i | 0.516841 | + | 0.516841i | ||||
\(516\) | −39.2484 | − | 35.5883i | −1.72781 | − | 1.56669i | ||||
\(517\) | −14.5359 | + | 8.39230i | −0.639288 | + | 0.369093i | ||||
\(518\) | 5.98604 | − | 22.3402i | 0.263012 | − | 0.981573i | ||||
\(519\) | 2.72172 | − | 12.5885i | 0.119470 | − | 0.552572i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 33.2835i | − | 1.45818i | −0.684419 | − | 0.729089i | \(-0.739944\pi\) | ||
0.684419 | − | 0.729089i | \(-0.260056\pi\) | |||||||
\(522\) | 25.2221 | − | 30.7059i | 1.10394 | − | 1.34396i | ||||
\(523\) | −6.49038 | − | 11.2417i | −0.283805 | − | 0.491564i | 0.688514 | − | 0.725223i | \(-0.258263\pi\) |
−0.972319 | + | 0.233659i | \(0.924930\pi\) | |||||||
\(524\) | −1.69293 | + | 2.93225i | −0.0739562 | + | 0.128096i | ||||
\(525\) | 1.50726 | − | 0.971364i | 0.0657823 | − | 0.0423938i | ||||
\(526\) | 27.6865 | − | 7.41858i | 1.20719 | − | 0.323466i | ||||
\(527\) | 13.0899 | − | 3.50742i | 0.570203 | − | 0.152785i | ||||
\(528\) | 6.28764 | − | 4.05211i | 0.273634 | − | 0.176345i | ||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | −13.2559 | − | 22.9599i | −0.575799 | − | 0.997313i | ||||
\(531\) | −9.11792 | + | 11.1003i | −0.395684 | + | 0.481713i | ||||
\(532\) | 5.46410i | 0.236899i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −8.80385 | + | 40.7194i | −0.380980 | + | 1.76210i | ||||
\(535\) | −10.3397 | + | 38.5885i | −0.447026 | + | 1.66832i | ||||
\(536\) | −31.4690 | + | 18.1687i | −1.35926 | + | 0.784766i | ||||
\(537\) | −24.0504 | − | 21.8076i | −1.03785 | − | 0.941066i | ||||
\(538\) | 18.7321 | + | 18.7321i | 0.807596 | + | 0.807596i | ||||
\(539\) | −2.26810 | − | 8.46467i | −0.0976940 | − | 0.364599i | ||||
\(540\) | 17.0915 | − | 43.1681i | 0.735500 | − | 1.85766i | ||||
\(541\) | 23.6865 | − | 23.6865i | 1.01836 | − | 1.01836i | 0.0185354 | − | 0.999828i | \(-0.494100\pi\) |
0.999828 | − | 0.0185354i | \(-0.00590034\pi\) | |||||||
\(542\) | 4.29311 | + | 2.47863i | 0.184405 | + | 0.106466i | ||||
\(543\) | −1.58844 | − | 4.94741i | −0.0681664 | − | 0.212314i | ||||
\(544\) | 4.96410 | + | 1.33013i | 0.212834 | + | 0.0570287i | ||||
\(545\) | −9.49346 | −0.406655 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.00000 | 0.0855138 | 0.0427569 | − | 0.999086i | \(-0.486386\pi\) | ||||
0.0427569 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(548\) | −21.2669 | − | 5.69846i | −0.908479 | − | 0.243426i | ||||
\(549\) | −2.04924 | − | 20.8998i | −0.0874593 | − | 0.891981i | ||||
\(550\) | 2.66025 | + | 1.53590i | 0.113434 | + | 0.0654909i | ||||
\(551\) | −4.05001 | + | 4.05001i | −0.172536 | + | 0.172536i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.732051 | + | 2.73205i | 0.0311300 | + | 0.116179i | ||||
\(554\) | 6.07502 | + | 6.07502i | 0.258103 | + | 0.258103i | ||||
\(555\) | 19.0273 | − | 20.9842i | 0.807665 | − | 0.890731i | ||||
\(556\) | 7.73205 | − | 4.46410i | 0.327912 | − | 0.189320i | ||||
\(557\) | 10.5342 | − | 39.3140i | 0.446347 | − | 1.66579i | −0.266009 | − | 0.963971i | \(-0.585705\pi\) |
0.712355 | − | 0.701819i | \(-0.247628\pi\) | |||||||
\(558\) | −41.2946 | − | 18.7321i | −1.74814 | − | 0.792991i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 8.34312i | 0.352561i | ||||||||
\(561\) | −5.79567 | − | 2.97857i | −0.244693 | − | 0.125755i | ||||
\(562\) | −26.9186 | − | 46.6244i | −1.13549 | − | 1.96673i | ||||
\(563\) | 2.14655 | − | 3.71794i | 0.0904665 | − | 0.156693i | −0.817241 | − | 0.576296i | \(-0.804498\pi\) |
0.907708 | + | 0.419603i | \(0.137831\pi\) | |||||||
\(564\) | −33.5342 | − | 52.0350i | −1.41205 | − | 2.19107i | ||||
\(565\) | 29.9904 | − | 8.03590i | 1.26170 | − | 0.338073i | ||||
\(566\) | −56.8630 | + | 15.2364i | −2.39013 | + | 0.640434i | ||||
\(567\) | 12.6999 | + | 0.843533i | 0.533347 | + | 0.0354250i | ||||
\(568\) | −9.92820 | + | 17.1962i | −0.416578 | + | 0.721535i | ||||
\(569\) | 8.01105 | + | 13.8755i | 0.335841 | + | 0.581693i | 0.983646 | − | 0.180113i | \(-0.0576463\pi\) |
−0.647805 | + | 0.761806i | \(0.724313\pi\) | |||||||
\(570\) | −4.69825 | + | 9.14181i | −0.196788 | + | 0.382908i | ||||
\(571\) | − | 40.0526i | − | 1.67615i | −0.545557 | − | 0.838074i | \(-0.683682\pi\) | ||
0.545557 | − | 0.838074i | \(-0.316318\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 32.8564 | + | 7.10381i | 1.37260 | + | 0.296766i | ||||
\(574\) | 0.562178 | − | 2.09808i | 0.0234648 | − | 0.0875720i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −18.6167 | − | 26.0036i | −0.775697 | − | 1.08348i | ||||
\(577\) | 3.49038 | + | 3.49038i | 0.145306 | + | 0.145306i | 0.776018 | − | 0.630711i | \(-0.217237\pi\) |
−0.630711 | + | 0.776018i | \(0.717237\pi\) | |||||||
\(578\) | −7.67898 | − | 28.6583i | −0.319403 | − | 1.19203i | ||||
\(579\) | −12.4728 | + | 0.610020i | −0.518351 | + | 0.0253516i | ||||
\(580\) | −34.9545 | + | 34.9545i | −1.45141 | + | 1.45141i | ||||
\(581\) | −2.14655 | − | 1.23931i | −0.0890541 | − | 0.0514154i | ||||
\(582\) | 51.3491 | − | 16.4864i | 2.12849 | − | 0.683383i | ||||
\(583\) | 7.83013 | + | 2.09808i | 0.324291 | + | 0.0868934i | ||||
\(584\) | 35.7621 | 1.47985 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −52.7128 | −2.17755 | ||||||||
\(587\) | −19.4080 | − | 5.20035i | −0.801053 | − | 0.214641i | −0.165006 | − | 0.986292i | \(-0.552765\pi\) |
−0.636046 | + | 0.771651i | \(0.719431\pi\) | |||||||
\(588\) | 30.7733 | − | 9.88023i | 1.26907 | − | 0.407454i | ||||
\(589\) | 5.66025 | + | 3.26795i | 0.233227 | + | 0.134654i | ||||
\(590\) | 19.4080 | − | 19.4080i | 0.799013 | − | 0.799013i | ||||
\(591\) | 3.03206 | − | 0.148292i | 0.124722 | − | 0.00609993i | ||||
\(592\) | 4.35641 | + | 16.2583i | 0.179047 | + | 0.668213i | ||||
\(593\) | 10.6112 | + | 10.6112i | 0.435751 | + | 0.435751i | 0.890579 | − | 0.454828i | \(-0.150299\pi\) |
−0.454828 | + | 0.890579i | \(0.650299\pi\) | |||||||
\(594\) | 8.65935 | + | 20.0106i | 0.355297 | + | 0.821044i | ||||
\(595\) | 6.29423 | − | 3.63397i | 0.258038 | − | 0.148978i | ||||
\(596\) | −5.24484 | + | 19.5740i | −0.214837 | + | 0.801782i | ||||
\(597\) | −1.57139 | − | 0.339746i | −0.0643126 | − | 0.0139049i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 21.2224i | 0.867126i | 0.901123 | + | 0.433563i | \(0.142744\pi\) | ||||
−0.901123 | + | 0.433563i | \(0.857256\pi\) | |||||||
\(600\) | −2.40340 | + | 4.67652i | −0.0981186 | + | 0.190918i | ||||
\(601\) | 3.79423 | + | 6.57180i | 0.154770 | + | 0.268069i | 0.932975 | − | 0.359941i | \(-0.117203\pi\) |
−0.778205 | + | 0.628010i | \(0.783870\pi\) | |||||||
\(602\) | −13.8755 | + | 24.0331i | −0.565525 | + | 0.979518i | ||||
\(603\) | −9.24923 | − | 24.6072i | −0.376658 | − | 1.00208i | ||||
\(604\) | 38.0526 | − | 10.1962i | 1.54834 | − | 0.414876i | ||||
\(605\) | 18.3347 | − | 4.91277i | 0.745411 | − | 0.199732i | ||||
\(606\) | −44.3434 | − | 68.8075i | −1.80133 | − | 2.79511i | ||||
\(607\) | −5.09808 | + | 8.83013i | −0.206925 | + | 0.358404i | −0.950744 | − | 0.309977i | \(-0.899679\pi\) |
0.743820 | + | 0.668380i | \(0.233012\pi\) | |||||||
\(608\) | 1.23931 | + | 2.14655i | 0.0502608 | + | 0.0870543i | ||||
\(609\) | −12.0530 | − | 6.19441i | −0.488413 | − | 0.251010i | ||||
\(610\) | 40.1244i | 1.62459i | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 9.92820 | − | 21.8866i | 0.401324 | − | 0.884713i | ||||
\(613\) | −4.38269 | + | 16.3564i | −0.177015 | + | 0.660629i | 0.819185 | + | 0.573530i | \(0.194426\pi\) |
−0.996200 | + | 0.0870991i | \(0.972240\pi\) | |||||||
\(614\) | 36.3373 | − | 20.9794i | 1.46645 | − | 0.846658i | ||||
\(615\) | 1.78695 | − | 1.97073i | 0.0720567 | − | 0.0794674i | ||||
\(616\) | −7.26795 | − | 7.26795i | −0.292834 | − | 0.292834i | ||||
\(617\) | −9.74847 | − | 36.3818i | −0.392459 | − | 1.46468i | −0.826066 | − | 0.563574i | \(-0.809426\pi\) |
0.433607 | − | 0.901102i | \(-0.357241\pi\) | |||||||
\(618\) | −1.40345 | − | 28.6957i | −0.0564552 | − | 1.15431i | ||||
\(619\) | −14.3397 | + | 14.3397i | −0.576363 | + | 0.576363i | −0.933899 | − | 0.357536i | \(-0.883617\pi\) |
0.357536 | + | 0.933899i | \(0.383617\pi\) | |||||||
\(620\) | 48.8520 | + | 28.2047i | 1.96194 | + | 1.13273i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.92820 | − | 2.66025i | −0.398085 | − | 0.106666i | ||||
\(623\) | 14.2076 | 0.569216 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.1244 | 1.12497 | ||||||||
\(626\) | −4.62518 | − | 1.23931i | −0.184859 | − | 0.0495329i | ||||
\(627\) | −0.960731 | − | 2.99233i | −0.0383679 | − | 0.119502i | ||||
\(628\) | −49.1147 | − | 28.3564i | −1.95989 | − | 1.13154i | ||||
\(629\) | 10.3681 | − | 10.3681i | 0.413404 | − | 0.413404i | ||||
\(630\) | −23.9925 | − | 3.97193i | −0.955883 | − | 0.158246i | ||||
\(631\) | −0.607695 | − | 2.26795i | −0.0241920 | − | 0.0902856i | 0.952774 | − | 0.303679i | \(-0.0982151\pi\) |
−0.976966 | + | 0.213393i | \(0.931548\pi\) | |||||||
\(632\) | −5.86450 | − | 5.86450i | −0.233277 | − | 0.233277i | ||||
\(633\) | 15.6490 | + | 14.1897i | 0.621993 | + | 0.563989i | ||||
\(634\) | −33.0622 | + | 19.0885i | −1.31307 | + | 0.758099i | ||||
\(635\) | −9.37191 | + | 34.9764i | −0.371913 | + | 1.38800i | ||||
\(636\) | −6.31812 | + | 29.2224i | −0.250530 | + | 1.15874i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 23.2149i | − | 0.919086i | ||||||
\(639\) | −11.1003 | − | 9.11792i | −0.439122 | − | 0.360699i | ||||
\(640\) | 24.8205 | + | 42.9904i | 0.981117 | + | 1.69934i | ||||
\(641\) | −9.65949 | + | 16.7307i | −0.381527 | + | 0.660824i | −0.991281 | − | 0.131767i | \(-0.957935\pi\) |
0.609754 | + | 0.792591i | \(0.291268\pi\) | |||||||
\(642\) | 58.1629 | − | 37.4835i | 2.29551 | − | 1.47935i | ||||
\(643\) | −26.1244 | + | 7.00000i | −1.03024 | + | 0.276053i | −0.734065 | − | 0.679079i | \(-0.762379\pi\) |
−0.296179 | + | 0.955132i | \(0.595713\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −28.5692 | + | 18.4116i | −1.12491 | + | 0.724955i | ||||
\(646\) | −2.66025 | + | 4.60770i | −0.104666 | + | 0.181287i | ||||
\(647\) | 7.22536 | + | 12.5147i | 0.284058 | + | 0.492003i | 0.972380 | − | 0.233402i | \(-0.0749858\pi\) |
−0.688322 | + | 0.725405i | \(0.741652\pi\) | |||||||
\(648\) | −33.4870 | + | 16.4776i | −1.31549 | + | 0.647302i | ||||
\(649\) | 8.39230i | 0.329427i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.26795 | + | 15.1149i | −0.128081 | + | 0.592398i | ||||
\(652\) | −14.9282 | + | 55.7128i | −0.584634 | + | 2.18188i | ||||
\(653\) | 33.6156 | − | 19.4080i | 1.31548 | − | 0.759492i | 0.332482 | − | 0.943110i | \(-0.392114\pi\) |
0.982998 | + | 0.183617i | \(0.0587807\pi\) | |||||||
\(654\) | 12.1812 | + | 11.0452i | 0.476321 | + | 0.431902i | ||||
\(655\) | 1.53590 | + | 1.53590i | 0.0600125 | + | 0.0600125i | ||||
\(656\) | 0.409131 | + | 1.52690i | 0.0159739 | + | 0.0596153i | ||||
\(657\) | −4.22556 | + | 25.5245i | −0.164855 | + | 0.995807i | ||||
\(658\) | −22.9282 | + | 22.9282i | −0.893834 | + | 0.893834i | ||||
\(659\) | −27.1759 | − | 15.6900i | −1.05862 | − | 0.611197i | −0.133572 | − | 0.991039i | \(-0.542645\pi\) |
−0.925051 | + | 0.379842i | \(0.875978\pi\) | |||||||
\(660\) | −8.29179 | − | 25.8259i | −0.322757 | − | 1.00527i | ||||
\(661\) | 16.5263 | + | 4.42820i | 0.642798 | + | 0.172237i | 0.565470 | − | 0.824769i | \(-0.308695\pi\) |
0.0773274 | + | 0.997006i | \(0.475361\pi\) | |||||||
\(662\) | 46.7380 | 1.81652 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.26795 | 0.282051 | ||||||||
\(665\) | 3.38587 | + | 0.907241i | 0.131298 | + | 0.0351813i | ||||
\(666\) | −48.8284 | + | 4.78766i | −1.89206 | + | 0.185518i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −31.1370 | + | 31.1370i | −1.20473 | + | 1.20473i | ||||
\(669\) | 1.95286 | + | 39.9292i | 0.0755019 | + | 1.54375i | ||||
\(670\) | 13.0000 | + | 48.5167i | 0.502234 | + | 1.87436i | ||||
\(671\) | −8.67520 | − | 8.67520i | −0.334902 | − | 0.334902i | ||||
\(672\) | −3.93930 | + | 4.34444i | −0.151962 | + | 0.167591i | ||||
\(673\) | 11.0096 | − | 6.35641i | 0.424390 | − | 0.245021i | −0.272564 | − | 0.962138i | \(-0.587872\pi\) |
0.696954 | + | 0.717116i | \(0.254538\pi\) | |||||||
\(674\) | 7.14830 | − | 26.6778i | 0.275342 | − | 1.02759i | ||||
\(675\) | −3.05379 | − | 2.26795i | −0.117541 | − | 0.0872934i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 38.8159i | 1.49182i | 0.666048 | + | 0.745909i | \(0.267985\pi\) | ||||
−0.666048 | + | 0.745909i | \(0.732015\pi\) | |||||||
\(678\) | −47.8304 | − | 24.5815i | −1.83692 | − | 0.944046i | ||||
\(679\) | −9.19615 | − | 15.9282i | −0.352916 | − | 0.611268i | ||||
\(680\) | −10.6557 | + | 18.4562i | −0.408628 | + | 0.707764i | ||||
\(681\) | 14.6820 | + | 22.7821i | 0.562617 | + | 0.873011i | ||||
\(682\) | −25.5885 | + | 6.85641i | −0.979833 | + | 0.262545i | ||||
\(683\) | 15.9006 | − | 4.26054i | 0.608418 | − | 0.163025i | 0.0585607 | − | 0.998284i | \(-0.481349\pi\) |
0.549857 | + | 0.835259i | \(0.314682\pi\) | |||||||
\(684\) | 10.8500 | − | 4.07823i | 0.414859 | − | 0.155935i | ||||
\(685\) | −7.06218 | + | 12.2321i | −0.269832 | + | 0.467363i | ||||
\(686\) | −20.3152 | − | 35.1870i | −0.775638 | − | 1.34344i | ||||
\(687\) | 11.3358 | − | 22.0571i | 0.432488 | − | 0.841530i | ||||
\(688\) | − | 20.1962i | − | 0.769971i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.2224 | − | 41.8827i | 0.426921 | − | 1.59329i | −0.332770 | − | 0.943008i | \(-0.607983\pi\) |
0.759691 | − | 0.650284i | \(-0.225350\pi\) | |||||||
\(692\) | 24.0331 | − | 13.8755i | 0.913603 | − | 0.527469i | ||||
\(693\) | 6.04612 | − | 4.32860i | 0.229673 | − | 0.164430i | ||||
\(694\) | 43.9090 | + | 43.9090i | 1.66676 | + | 1.66676i | ||||
\(695\) | −1.48241 | − | 5.53242i | −0.0562309 | − | 0.209857i | ||||
\(696\) | 39.6892 | − | 1.94112i | 1.50442 | − | 0.0735781i | ||||
\(697\) | 0.973721 | − | 0.973721i | 0.0368823 | − | 0.0368823i | ||||
\(698\) | 12.0936 | + | 6.98226i | 0.457751 | + | 0.264283i | ||||
\(699\) | −12.2628 | + | 3.93715i | −0.463821 | + | 0.148917i | ||||
\(700\) | 3.73205 | + | 1.00000i | 0.141058 | + | 0.0377964i | ||||
\(701\) | 20.3152 | 0.767295 | 0.383647 | − | 0.923480i | \(-0.374668\pi\) | ||||
0.383647 | + | 0.923480i | \(0.374668\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.07180 | 0.266718 | ||||||||
\(704\) | −18.0471 | − | 4.83571i | −0.680176 | − | 0.182253i | ||||
\(705\) | −37.8117 | + | 12.1400i | −1.42407 | + | 0.457220i | ||||
\(706\) | 56.5526 | + | 32.6506i | 2.12838 | + | 1.22882i | ||||
\(707\) | −19.7400 | + | 19.7400i | −0.742401 | + | 0.742401i | ||||
\(708\) | −30.9154 | + | 1.51201i | −1.16187 | + | 0.0568249i | ||||
\(709\) | 2.66987 | + | 9.96410i | 0.100269 | + | 0.374210i | 0.997766 | − | 0.0668121i | \(-0.0212828\pi\) |
−0.897496 | + | 0.441022i | \(0.854616\pi\) | |||||||
\(710\) | 19.4080 | + | 19.4080i | 0.728368 | + | 0.728368i | ||||
\(711\) | 4.87861 | − | 3.49274i | 0.182962 | − | 0.130988i | ||||
\(712\) | −36.0788 | + | 20.8301i | −1.35211 | + | 0.780642i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −12.3042 | − | 2.66025i | −0.460472 | − | 0.0995575i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | − | 69.9529i | − | 2.61426i | ||||||
\(717\) | −7.95383 | + | 15.4765i | −0.297041 | + | 0.577979i | ||||
\(718\) | 20.4186 | + | 35.3660i | 0.762015 | + | 1.31985i | ||||
\(719\) | −5.86450 | + | 10.1576i | −0.218709 | + | 0.378815i | −0.954413 | − | 0.298488i | \(-0.903518\pi\) |
0.735705 | + | 0.677302i | \(0.236851\pi\) | |||||||
\(720\) | 16.5668 | − | 6.22704i | 0.617408 | − | 0.232068i | ||||
\(721\) | −9.46410 | + | 2.53590i | −0.352462 | + | 0.0944418i | ||||
\(722\) | 41.4606 | − | 11.1093i | 1.54300 | − | 0.413447i | ||||
\(723\) | −7.02496 | − | 10.9006i | −0.261261 | − | 0.405398i | ||||
\(724\) | 5.59808 | − | 9.69615i | 0.208051 | − | 0.360355i | ||||
\(725\) | 2.02501 | + | 3.50742i | 0.0752069 | + | 0.130262i | ||||
\(726\) | −29.2412 | − | 15.0279i | −1.08524 | − | 0.557740i | ||||
\(727\) | − | 25.5167i | − | 0.946361i | −0.880966 | − | 0.473180i | \(-0.843106\pi\) | ||
0.880966 | − | 0.473180i | \(-0.156894\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −7.80385 | − | 25.8476i | −0.289031 | − | 0.957320i | ||||
\(730\) | 12.7942 | − | 47.7487i | 0.473536 | − | 1.76726i | ||||
\(731\) | −15.2364 | + | 8.79674i | −0.563539 | + | 0.325359i | ||||
\(732\) | 30.3945 | − | 33.5205i | 1.12341 | − | 1.23895i | ||||
\(733\) | −36.2224 | − | 36.2224i | −1.33791 | − | 1.33791i | −0.898086 | − | 0.439820i | \(-0.855042\pi\) |
−0.439820 | − | 0.898086i | \(-0.644958\pi\) | |||||||
\(734\) | 5.95347 | + | 22.2187i | 0.219747 | + | 0.820106i | ||||
\(735\) | −1.01286 | − | 20.7094i | −0.0373597 | − | 0.763877i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −13.3004 | − | 7.67898i | −0.489926 | − | 0.282859i | ||||
\(738\) | −4.58570 | + | 0.449632i | −0.168802 | + | 0.0165512i | ||||
\(739\) | −48.9808 | − | 13.1244i | −1.80179 | − | 0.482787i | −0.807531 | − | 0.589825i | \(-0.799197\pi\) |
−0.994255 | + | 0.107037i | \(0.965864\pi\) | |||||||
\(740\) | 61.0346 | 2.24368 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.6603 | 0.574906 | ||||||||
\(743\) | 50.5449 | + | 13.5435i | 1.85431 | + | 0.496862i | 0.999747 | − | 0.0224808i | \(-0.00715645\pi\) |
0.854566 | + | 0.519343i | \(0.173823\pi\) | |||||||
\(744\) | −13.8616 | − | 43.1739i | −0.508192 | − | 1.58283i | ||||
\(745\) | 11.2583 | + | 6.50000i | 0.412473 | + | 0.238142i | ||||
\(746\) | −33.1620 | + | 33.1620i | −1.21415 | + | 1.21415i | ||||
\(747\) | −0.858763 | + | 5.18736i | −0.0314205 | + | 0.189796i | ||||
\(748\) | −3.63397 | − | 13.5622i | −0.132871 | − | 0.495882i | ||||
\(749\) | −16.6862 | − | 16.6862i | −0.609702 | − | 0.609702i | ||||
\(750\) | −31.3902 | − | 28.4629i | −1.14621 | − | 1.03932i | ||||
\(751\) | −38.2750 | + | 22.0981i | −1.39667 | + | 0.806370i | −0.994043 | − | 0.108992i | \(-0.965238\pi\) |
−0.402632 | + | 0.915362i | \(0.631904\pi\) | |||||||
\(752\) | 6.10759 | − | 22.7938i | 0.222721 | − | 0.831206i | ||||
\(753\) | −8.01105 | + | 37.0526i | −0.291939 | + | 1.35027i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 25.2725i | − | 0.919759i | ||||||
\(756\) | 17.0349 | + | 21.4927i | 0.619553 | + | 0.781681i | ||||
\(757\) | 12.3923 | + | 21.4641i | 0.450406 | + | 0.780126i | 0.998411 | − | 0.0563489i | \(-0.0179459\pi\) |
−0.548005 | + | 0.836475i | \(0.684613\pi\) | |||||||
\(758\) | −5.98604 | + | 10.3681i | −0.217423 | + | 0.376587i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.92820 | + | 2.66025i | −0.360134 | + | 0.0964976i | ||||
\(761\) | 4.17156 | − | 1.11777i | 0.151219 | − | 0.0405190i | −0.182415 | − | 0.983222i | \(-0.558392\pi\) |
0.333634 | + | 0.942703i | \(0.391725\pi\) | |||||||
\(762\) | 52.7187 | − | 33.9749i | 1.90980 | − | 1.23078i | ||||
\(763\) | 2.80385 | − | 4.85641i | 0.101506 | − | 0.175814i | ||||
\(764\) | 36.2158 | + | 62.7275i | 1.31024 | + | 2.26940i | ||||
\(765\) | −11.9137 | − | 9.78605i | −0.430742 | − | 0.353816i | ||||
\(766\) | − | 33.5692i | − | 1.21291i | ||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 10.3660 | − | 47.9447i | 0.374052 | − | 1.73006i | ||||
\(769\) | 0.581416 | − | 2.16987i | 0.0209664 | − | 0.0782476i | −0.954650 | − | 0.297730i | \(-0.903770\pi\) |
0.975616 | + | 0.219483i | \(0.0704370\pi\) | |||||||
\(770\) | −12.3042 | + | 7.10381i | −0.443411 | + | 0.256004i | ||||
\(771\) | 21.2961 | + | 19.3102i | 0.766962 | + | 0.695438i | ||||
\(772\) | −19.0263 | − | 19.0263i | −0.684771 | − | 0.684771i | ||||
\(773\) | −1.60396 | − | 5.98604i | −0.0576903 | − | 0.215303i | 0.931063 | − | 0.364858i | \(-0.118883\pi\) |
−0.988753 | + | 0.149555i | \(0.952216\pi\) | |||||||
\(774\) | 58.0785 | + | 9.61484i | 2.08759 | + | 0.345598i | ||||
\(775\) | 3.26795 | − | 3.26795i | 0.117388 | − | 0.117388i | ||||
\(776\) | 46.7054 | + | 26.9654i | 1.67663 | + | 0.968001i | ||||
\(777\) | 5.11491 | + | 15.9311i | 0.183496 | + | 0.571524i | ||||
\(778\) | 12.2321 | + | 3.27757i | 0.438540 | + | 0.117507i | ||||
\(779\) | 0.664146 | 0.0237955 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.39230 | −0.300300 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.30414 | + | 28.5568i | −0.118080 | + | 1.02054i | ||||
\(784\) | 10.6699 | + | 6.16025i | 0.381067 | + | 0.220009i | ||||
\(785\) | −25.7261 | + | 25.7261i | −0.918203 | + | 0.918203i | ||||
\(786\) | −0.183781 | − | 3.75768i | −0.00655524 | − | 0.134032i | ||||
\(787\) | 3.02628 | + | 11.2942i | 0.107875 | + | 0.402596i | 0.998655 | − | 0.0518385i | \(-0.0165081\pi\) |
−0.890780 | + | 0.454434i | \(0.849841\pi\) | |||||||
\(788\) | 4.62518 | + | 4.62518i | 0.164765 | + | 0.164765i | ||||
\(789\) | −13.9290 | + | 15.3615i | −0.495885 | + | 0.546884i | ||||
\(790\) | −9.92820 | + | 5.73205i | −0.353230 | + | 0.203937i | ||||
\(791\) | −4.74673 | + | 17.7150i | −0.168774 | + | 0.629874i | ||||
\(792\) | −9.00727 | + | 19.8564i | −0.320059 | + | 0.705567i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 21.2224i | 0.753157i | ||||||||
\(795\) | 17.0588 | + | 8.76706i | 0.605015 | + | 0.310935i | ||||
\(796\) | −1.73205 | − | 3.00000i | −0.0613909 | − | 0.106332i | ||||
\(797\) | 8.58622 | − | 14.8718i | 0.304139 | − | 0.526785i | −0.672930 | − | 0.739706i | \(-0.734964\pi\) |
0.977069 | + | 0.212921i | \(0.0682978\pi\) | |||||||
\(798\) | −3.28891 | − | 5.10339i | −0.116426 | − | 0.180658i | ||||
\(799\) | −19.8564 | + | 5.32051i | −0.702469 | + | 0.188226i | ||||
\(800\) | 1.69293 | − | 0.453620i | 0.0598543 | − | 0.0160379i | ||||
\(801\) | −10.6041 | − | 28.2118i | −0.374678 | − | 0.996815i | ||||
\(802\) | 33.6244 | − | 58.2391i | 1.18732 | − | 2.05649i | ||||
\(803\) | 7.55743 | + | 13.0899i | 0.266696 | + | 0.461931i | ||||
\(804\) | 25.8913 | − | 50.3791i | 0.913117 | − | 1.77673i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −18.7321 | − | 4.05001i | −0.659399 | − | 0.142567i | ||||
\(808\) | 21.1865 | − | 79.0692i | 0.745340 | − | 2.78165i | ||||
\(809\) | −17.6705 | + | 10.2021i | −0.621263 | + | 0.358686i | −0.777361 | − | 0.629055i | \(-0.783442\pi\) |
0.156097 | + | 0.987742i | \(0.450109\pi\) | |||||||
\(810\) | 10.0202 | + | 50.6060i | 0.352075 | + | 1.77811i | ||||
\(811\) | 19.0000 | + | 19.0000i | 0.667180 | + | 0.667180i | 0.957062 | − | 0.289882i | \(-0.0936161\pi\) |
−0.289882 | + | 0.957062i | \(0.593616\pi\) | |||||||
\(812\) | −7.55743 | − | 28.2047i | −0.265214 | − | 0.989791i | ||||
\(813\) | −3.58202 | + | 0.175190i | −0.125627 | + | 0.00614417i | ||||
\(814\) | −20.2679 | + | 20.2679i | −0.710391 | + | 0.710391i | ||||
\(815\) | 32.0442 | + | 18.5007i | 1.12246 | + | 0.648052i | ||||
\(816\) | 8.72282 | − | 2.80059i | 0.305360 | − | 0.0980403i | ||||
\(817\) | −8.19615 | − | 2.19615i | −0.286747 | − | 0.0768336i | ||||
\(818\) | 27.8401 | 0.973405 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.73205 | 0.200172 | ||||||||
\(821\) | 5.98604 | + | 1.60396i | 0.208914 | + | 0.0559784i | 0.361758 | − | 0.932272i | \(-0.382177\pi\) |
−0.152844 | + | 0.988250i | \(0.548843\pi\) | |||||||
\(822\) | 23.2930 | − | 7.47856i | 0.812436 | − | 0.260845i | ||||
\(823\) | −13.3923 | − | 7.73205i | −0.466826 | − | 0.269522i | 0.248084 | − | 0.968739i | \(-0.420199\pi\) |
−0.714910 | + | 0.699216i | \(0.753532\pi\) | |||||||
\(824\) | 20.3152 | − | 20.3152i | 0.707714 | − | 0.707714i | ||||
\(825\) | −2.21962 | + | 0.108558i | −0.0772774 | + | 0.00377949i | ||||
\(826\) | 4.19615 | + | 15.6603i | 0.146003 | + | 0.544890i | ||||
\(827\) | −3.62896 | − | 3.62896i | −0.126191 | − | 0.126191i | 0.641190 | − | 0.767382i | \(-0.278441\pi\) |
−0.767382 | + | 0.641190i | \(0.778441\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.6769 | − | 11.9378i | 0.718139 | − | 0.414618i | −0.0959284 | − | 0.995388i | \(-0.530582\pi\) |
0.814067 | + | 0.580771i | \(0.197249\pi\) | |||||||
\(830\) | 2.60017 | − | 9.70398i | 0.0902534 | − | 0.336830i | ||||
\(831\) | −6.07502 | − | 1.31347i | −0.210740 | − | 0.0455636i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 10.7328i | − | 0.371868i | ||||||
\(834\) | −4.53463 | + | 8.82343i | −0.157021 | + | 0.305530i | ||||
\(835\) | 14.1244 | + | 24.4641i | 0.488793 | + | 0.846615i | ||||
\(836\) | 3.38587 | − | 5.86450i | 0.117103 | − | 0.202828i | ||||
\(837\) | 32.4524 | − | 4.79215i | 1.12172 | − | 0.165641i | ||||
\(838\) | −19.2942 | + | 5.16987i | −0.666508 | + | 0.178590i | ||||
\(839\) | −7.55743 | + | 2.02501i | −0.260911 | + | 0.0699110i | −0.386903 | − | 0.922120i | \(-0.626455\pi\) |
0.125992 | + | 0.992031i | \(0.459789\pi\) | |||||||
\(840\) | −13.1738 | − | 20.4418i | −0.454540 | − | 0.705308i | ||||
\(841\) | 0.803848 | − | 1.39230i | 0.0277189 | − | 0.0480105i | ||||
\(842\) | −1.40535 | − | 2.43414i | −0.0484316 | − | 0.0838859i | ||||
\(843\) | 34.6412 | + | 17.8032i | 1.19311 | + | 0.613173i | ||||
\(844\) | 45.5167i | 1.56675i | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 62.6410 | + | 28.4152i | 2.15364 | + | 0.976936i | ||||
\(847\) | −2.90192 | + | 10.8301i | −0.0997113 | + | 0.372128i | ||||
\(848\) | −9.87002 | + | 5.69846i | −0.338938 | + | 0.195686i | ||||
\(849\) | 28.6075 | − | 31.5497i | 0.981808 | − | 1.08278i | ||||
\(850\) | 2.66025 | + | 2.66025i | 0.0912460 | + | 0.0912460i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | −1.51201 | − | 30.9154i | −0.0518007 | − | 1.05914i | ||||
\(853\) | −20.6340 | + | 20.6340i | −0.706494 | + | 0.706494i | −0.965796 | − | 0.259302i | \(-0.916507\pi\) |
0.259302 | + | 0.965796i | \(0.416507\pi\) | |||||||
\(854\) | −20.5257 | − | 11.8505i | −0.702376 | − | 0.405517i | ||||
\(855\) | −0.725614 | − | 7.40039i | −0.0248155 | − | 0.253088i | ||||
\(856\) | 66.8372 | + | 17.9090i | 2.28445 | + | 0.612116i | ||||
\(857\) | −35.7621 | −1.22161 | −0.610806 | − | 0.791781i | \(-0.709154\pi\) | ||||
−0.610806 | + | 0.791781i | \(0.709154\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.1769 | −0.790786 | −0.395393 | − | 0.918512i | \(-0.629392\pi\) | ||||
−0.395393 | + | 0.918512i | \(0.629392\pi\) | |||||||
\(860\) | −70.7386 | − | 18.9543i | −2.41217 | − | 0.646338i | ||||
\(861\) | 0.480365 | + | 1.49616i | 0.0163708 | + | 0.0509891i | ||||
\(862\) | 4.34679 | + | 2.50962i | 0.148052 | + | 0.0854780i | ||||
\(863\) | 12.0611 | − | 12.0611i | 0.410563 | − | 0.410563i | −0.471371 | − | 0.881935i | \(-0.656241\pi\) |
0.881935 | + | 0.471371i | \(0.156241\pi\) | |||||||
\(864\) | 11.5669 | + | 4.57965i | 0.393513 | + | 0.155803i | ||||
\(865\) | −4.60770 | − | 17.1962i | −0.156666 | − | 0.584687i | ||||
\(866\) | −11.9395 | − | 11.9395i | −0.405721 | − | 0.405721i | ||||
\(867\) | 15.9007 | + | 14.4179i | 0.540016 | + | 0.489657i | ||||
\(868\) | −28.8564 | + | 16.6603i | −0.979450 | + | 0.565486i | ||||
\(869\) | 0.907241 | − | 3.38587i | 0.0307760 | − | 0.114858i | ||||
\(870\) | 11.6074 | − | 53.6865i | 0.393529 | − | 1.82014i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 16.4432i | 0.556835i | ||||||||
\(873\) | −24.7646 | + | 30.1489i | −0.838156 | + | 1.02039i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.22536 | + | 12.5147i | −0.244262 | + | 0.423074i | ||||
\(876\) | −46.8585 | + | 30.1982i | −1.58320 | + | 1.02030i | ||||
\(877\) | −11.2321 | + | 3.00962i | −0.379279 | + | 0.101628i | −0.443422 | − | 0.896313i | \(-0.646236\pi\) |
0.0641422 | + | 0.997941i | \(0.479569\pi\) | |||||||
\(878\) | −10.9433 | + | 2.93225i | −0.369318 | + | 0.0989586i | ||||
\(879\) | 32.0549 | − | 20.6579i | 1.08118 | − | 0.696775i | ||||
\(880\) | 5.16987 | − | 8.95448i | 0.174276 | − | 0.301856i | ||||
\(881\) | −13.5880 | − | 23.5350i | −0.457790 | − | 0.792916i | 0.541054 | − | 0.840988i | \(-0.318026\pi\) |
−0.998844 | + | 0.0480724i | \(0.984692\pi\) | |||||||
\(882\) | −22.7948 | + | 27.7508i | −0.767541 | + | 0.934419i | ||||
\(883\) | 39.3731i | 1.32501i | 0.749058 | + | 0.662505i | \(0.230506\pi\) | ||||
−0.749058 | + | 0.662505i | \(0.769494\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.19615 | + | 19.4080i | −0.141052 | + | 0.652392i | ||||
\(886\) | −18.3205 | + | 68.3731i | −0.615490 | + | 2.29704i | ||||
\(887\) | 46.4949 | − | 26.8438i | 1.56115 | − | 0.901328i | 0.564005 | − | 0.825772i | \(-0.309260\pi\) |
0.997142 | − | 0.0755567i | \(-0.0240734\pi\) | |||||||
\(888\) | −36.3457 | − | 32.9563i | −1.21968 | − | 1.10594i | ||||
\(889\) | −15.1244 | − | 15.1244i | −0.507255 | − | 0.507255i | ||||
\(890\) | 14.9043 | + | 55.6237i | 0.499594 | + | 1.86451i | ||||
\(891\) | −13.1079 | − | 8.77495i | −0.439130 | − | 0.293972i | ||||
\(892\) | −60.9090 | + | 60.9090i | −2.03938 | + | 2.03938i | ||||
\(893\) | −8.58622 | − | 4.95725i | −0.287327 | − | 0.165888i | ||||
\(894\) | −6.88324 | − | 21.4388i | −0.230210 | − | 0.717020i | ||||
\(895\) | −43.3468 | − | 11.6147i | −1.44892 | − | 0.388238i | ||||
\(896\) | −29.3225 | −0.979595 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −20.9808 | −0.700137 | ||||||||
\(899\) | −33.7371 | − | 9.03984i | −1.12520 | − | 0.301495i | ||||
\(900\) | −0.799803 | − | 8.15704i | −0.0266601 | − | 0.271901i | ||||
\(901\) | 8.59808 | + | 4.96410i | 0.286443 | + | 0.165378i | ||||
\(902\) | −1.90346 | + | 1.90346i | −0.0633783 | + | 0.0633783i | ||||
\(903\) | −0.980726 | − | 20.0524i | −0.0326365 | − | 0.667303i | ||||
\(904\) | −13.9186 | − | 51.9449i | −0.462925 | − | 1.72766i | ||||
\(905\) | −5.07880 | − | 5.07880i | −0.168825 | − | 0.168825i | ||||
\(906\) | −29.4034 | + | 32.4274i | −0.976861 | + | 1.07733i | ||||
\(907\) | 15.0000 | − | 8.66025i | 0.498067 | − | 0.287559i | −0.229848 | − | 0.973227i | \(-0.573823\pi\) |
0.727915 | + | 0.685668i | \(0.240490\pi\) | |||||||
\(908\) | −15.1149 | + | 56.4094i | −0.501604 | + | 1.87201i | ||||
\(909\) | 53.9308 | + | 24.4641i | 1.78877 | + | 0.811423i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 9.25036i | − | 0.306478i | −0.988189 | − | 0.153239i | \(-0.951030\pi\) | ||
0.988189 | − | 0.153239i | \(-0.0489705\pi\) | |||||||
\(912\) | 3.92989 | + | 2.01969i | 0.130132 | + | 0.0668786i | ||||
\(913\) | 1.53590 | + | 2.66025i | 0.0508308 | + | 0.0880416i | ||||
\(914\) | −33.4495 | + | 57.9363i | −1.10641 | + | 1.91636i | ||||
\(915\) | −15.7246 | − | 24.3998i | −0.519839 | − | 0.806632i | ||||
\(916\) | 51.6147 | − | 13.8301i | 1.70540 | − | 0.456960i | ||||
\(917\) | −1.23931 | + | 0.332073i | −0.0409257 | + | 0.0109660i | ||||
\(918\) | 3.90102 | + | 26.4177i | 0.128753 | + | 0.871913i | ||||
\(919\) | −22.2942 | + | 38.6147i | −0.735419 | + | 1.27378i | 0.219121 | + | 0.975698i | \(0.429681\pi\) |
−0.954539 | + | 0.298085i | \(0.903652\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13.8751 | + | 26.9981i | −0.457201 | + | 0.889617i | ||||
\(922\) | − | 58.0333i | − | 1.91123i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 15.6603 | + | 3.38587i | 0.515185 | + | 0.111387i | ||||
\(925\) | 1.29423 | − | 4.83013i | 0.0425540 | − | 0.158814i | ||||
\(926\) | 44.1378 | − | 25.4830i | 1.45046 | − | 0.837423i | ||||
\(927\) | 12.0992 | + | 16.9000i | 0.397390 | + | 0.555068i | ||||
\(928\) | −9.36603 | − | 9.36603i | −0.307455 | − | 0.307455i | ||||
\(929\) | −12.6807 | − | 47.3251i | −0.416041 | − | 1.55269i | −0.782742 | − | 0.622347i | \(-0.786179\pi\) |
0.366701 | − | 0.930339i | \(-0.380487\pi\) | |||||||
\(930\) | −62.6038 | + | 3.06183i | −2.05286 | + | 0.100401i | ||||
\(931\) | 3.66025 | − | 3.66025i | 0.119960 | − | 0.119960i | ||||
\(932\) | −24.0331 | − | 13.8755i | −0.787232 | − | 0.454509i | ||||
\(933\) | 7.07992 | − | 2.27311i | 0.231786 | − | 0.0744184i | ||||
\(934\) | 70.4711 | + | 18.8827i | 2.30589 | + | 0.617860i | ||||
\(935\) | −9.00727 | −0.294569 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −37.0000 | −1.20874 | −0.604369 | − | 0.796705i | \(-0.706575\pi\) | ||||
−0.604369 | + | 0.796705i | \(0.706575\pi\) | |||||||
\(938\) | −28.6583 | − | 7.67898i | −0.935728 | − | 0.250727i | ||||
\(939\) | 3.29827 | − | 1.05896i | 0.107635 | − | 0.0345578i | ||||
\(940\) | −74.1051 | − | 42.7846i | −2.41704 | − | 1.39548i | ||||
\(941\) | 38.2408 | − | 38.2408i | 1.24661 | − | 1.24661i | 0.289407 | − | 0.957206i | \(-0.406542\pi\) |
0.957206 | − | 0.289407i | \(-0.0934582\pi\) | |||||||
\(942\) | 62.9405 | − | 3.07830i | 2.05071 | − | 0.100296i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −8.34312 | − | 8.34312i | −0.271546 | − | 0.271546i | ||||
\(945\) | 16.1465 | − | 6.98721i | 0.525246 | − | 0.227294i | ||||
\(946\) | 29.7846 | − | 17.1962i | 0.968381 | − | 0.559095i | ||||
\(947\) | 10.6112 | − | 39.6016i | 0.344818 | − | 1.28688i | −0.548006 | − | 0.836475i | \(-0.684613\pi\) |
0.892824 | − | 0.450405i | \(-0.148721\pi\) | |||||||
\(948\) | 12.6362 | + | 2.73205i | 0.410406 | + | 0.0887329i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 1.81448i | 0.0588695i | ||||||||
\(951\) | 12.6245 | − | 24.5647i | 0.409379 | − | 0.796565i | ||||
\(952\) | −6.29423 | − | 10.9019i | −0.203997 | − | 0.353333i | ||||
\(953\) | 21.8866 | − | 37.9087i | 0.708976 | − | 1.22798i | −0.256261 | − | 0.966608i | \(-0.582491\pi\) |
0.965237 | − | 0.261375i | \(-0.0841760\pi\) | |||||||
\(954\) | −11.6883 | − | 31.0963i | −0.378423 | − | 1.00678i | ||||
\(955\) | 44.8827 | − | 12.0263i | 1.45237 | − | 0.389161i | ||||
\(956\) | −36.2158 | + | 9.70398i | −1.17130 | + | 0.313849i | ||||
\(957\) | 9.09782 | + | 14.1171i | 0.294091 | + | 0.456340i | ||||
\(958\) | 10.4904 | − | 18.1699i | 0.338929 | − | 0.587042i | ||||
\(959\) | −4.17156 | − | 7.22536i | −0.134707 | − | 0.233319i | ||||
\(960\) | −39.3177 | − | 20.2066i | −1.26897 | − | 0.652164i | ||||
\(961\) | 8.85641i | 0.285691i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −20.6795 | + | 45.5877i | −0.666387 | + | 1.46904i | ||||
\(964\) | 7.23205 | − | 26.9904i | 0.232929 | − | 0.869302i | ||||
\(965\) | −14.9488 | + | 8.63071i | −0.481220 | + | 0.277832i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.143594 | − | 0.143594i | −0.00461766 | − | 0.00461766i | 0.704794 | − | 0.709412i | \(-0.251039\pi\) |
−0.709412 | + | 0.704794i | \(0.751039\pi\) | |||||||
\(968\) | −8.50916 | − | 31.7566i | −0.273495 | − | 1.02070i | ||||
\(969\) | −0.188027 | − | 3.84450i | −0.00604030 | − | 0.123503i | ||||
\(970\) | 52.7128 | − | 52.7128i | 1.69251 | − | 1.69251i | ||||
\(971\) | 45.5551 | + | 26.3013i | 1.46193 | + | 0.844047i | 0.999101 | − | 0.0423987i | \(-0.0135000\pi\) |
0.462832 | + | 0.886446i | \(0.346833\pi\) | |||||||
\(972\) | 29.9633 | − | 49.8673i | 0.961075 | − | 1.59950i | ||||
\(973\) | 3.26795 | + | 0.875644i | 0.104766 | + | 0.0280719i | ||||
\(974\) | −60.7025 | −1.94503 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 17.2487 | 0.552118 | ||||||||
\(977\) | 28.3707 | + | 7.60192i | 0.907661 | + | 0.243207i | 0.682303 | − | 0.731069i | \(-0.260978\pi\) |
0.225357 | + | 0.974276i | \(0.427645\pi\) | |||||||
\(978\) | −19.5915 | − | 61.0204i | −0.626468 | − | 1.95122i | ||||
\(979\) | −15.2487 | − | 8.80385i | −0.487351 | − | 0.281372i | ||||
\(980\) | 31.5906 | − | 31.5906i | 1.00912 | − | 1.00912i | ||||
\(981\) | −11.7360 | − | 1.94288i | −0.374701 | − | 0.0620314i | ||||
\(982\) | 15.5096 | + | 57.8827i | 0.494932 | + | 1.84711i | ||||
\(983\) | 4.38209 | + | 4.38209i | 0.139767 | + | 0.139767i | 0.773528 | − | 0.633762i | \(-0.218490\pi\) |
−0.633762 | + | 0.773528i | \(0.718490\pi\) | |||||||
\(984\) | −3.41340 | − | 3.09508i | −0.108815 | − | 0.0986677i | ||||
\(985\) | 3.63397 | − | 2.09808i | 0.115788 | − | 0.0668503i | ||||
\(986\) | 7.35882 | − | 27.4635i | 0.234353 | − | 0.874616i | ||||
\(987\) | 4.95725 | − | 22.9282i | 0.157791 | − | 0.729813i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 23.2893 | + | 19.1301i | 0.740184 | + | 0.607994i | ||||
\(991\) | −12.7846 | − | 22.1436i | −0.406117 | − | 0.703414i | 0.588334 | − | 0.808618i | \(-0.299784\pi\) |
−0.994451 | + | 0.105203i | \(0.966451\pi\) | |||||||
\(992\) | −7.55743 | + | 13.0899i | −0.239949 | + | 0.415603i | ||||
\(993\) | −28.4216 | + | 18.3164i | −0.901931 | + | 0.581255i | ||||
\(994\) | −15.6603 | + | 4.19615i | −0.496713 | + | 0.133094i | ||||
\(995\) | −2.14655 | + | 0.575167i | −0.0680503 | + | 0.0182340i | ||||
\(996\) | −9.52306 | + | 6.13719i | −0.301750 | + | 0.194464i | ||||
\(997\) | 3.50000 | − | 6.06218i | 0.110846 | − | 0.191991i | −0.805266 | − | 0.592914i | \(-0.797977\pi\) |
0.916112 | + | 0.400923i | \(0.131311\pi\) | |||||||
\(998\) | −7.55743 | − | 13.0899i | −0.239226 | − | 0.414352i | ||||
\(999\) | 27.8165 | − | 22.0470i | 0.880074 | − | 0.697537i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))