Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [39,2,Mod(2,39)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(39, 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("39.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 39 = 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 39.k (of order \(12\), degree \(4\), 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: | \(0.311416567883\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 20.1 | ||
Root | \(0.500000 + 1.19293i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 39.20 |
Dual form | 39.2.k.b.2.1 |
$q$-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 \(\left(\mathbb{Z}/39\mathbb{Z}\right)^\times\).
\(n\) | \(14\) | \(28\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.619657 | − | 2.31259i | −0.438164 | − | 1.63525i | −0.733380 | − | 0.679818i | \(-0.762059\pi\) |
0.295217 | − | 0.955430i | \(-0.404608\pi\) | |||||||
\(3\) | 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 | −0.975794 | − | 0.218691i | \(-0.929821\pi\) |
0.218691 | + | 0.975794i | \(0.429821\pi\) | |||||||
\(6\) | 0.202571 | − | 4.14187i | 0.0826993 | − | 1.69091i | ||||
\(7\) | −1.36603 | − | 0.366025i | −0.516309 | − | 0.138345i | −0.00875026 | − | 0.999962i | \(-0.502785\pi\) |
−0.507559 | + | 0.861617i | \(0.669452\pi\) | |||||||
\(8\) | 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 | ||||
\(11\) | 1.69293 | − | 0.453620i | 0.510439 | − | 0.136772i | 0.00559833 | − | 0.999984i | \(-0.498218\pi\) |
0.504840 | + | 0.863213i | \(0.331551\pi\) | |||||||
\(12\) | −6.31812 | + | 1.36603i | −1.82388 | + | 0.394338i | ||||
\(13\) | −1.59808 | − | 3.23205i | −0.443227 | − | 0.896410i | ||||
\(14\) | 3.38587i | 0.904911i | ||||||||
\(15\) | −3.68825 | + | 1.89551i | −0.952303 | + | 0.489417i | ||||
\(16\) | 1.23205 | − | 2.13397i | 0.308013 | − | 0.533494i | ||||
\(17\) | −1.07328 | − | 1.85897i | −0.260308 | − | 0.450867i | 0.706016 | − | 0.708196i | \(-0.250491\pi\) |
−0.966324 | + | 0.257330i | \(0.917157\pi\) | |||||||
\(18\) | 2.52711 | − | 6.72326i | 0.595644 | − | 1.58469i | ||||
\(19\) | −0.267949 | + | 1.00000i | −0.0614718 | + | 0.229416i | −0.989826 | − | 0.142280i | \(-0.954557\pi\) |
0.928355 | + | 0.371695i | \(0.121223\pi\) | |||||||
\(20\) | 2.31259 | − | 8.63071i | 0.517111 | − | 1.92988i | ||||
\(21\) | −2.05896 | − | 1.32691i | −0.449302 | − | 0.289555i | ||||
\(22\) | −2.09808 | − | 3.63397i | −0.447311 | − | 0.774766i | ||||
\(23\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | 3.28311 | + | 6.38824i | 0.670162 | + | 1.30399i | ||||
\(25\) | − | 0.732051i | − | 0.146410i | ||||||
\(26\) | −6.48415 | + | 5.69846i | −1.27165 | + | 1.11756i | ||||
\(27\) | 3.09808 | + | 4.17156i | 0.596225 | + | 0.802817i | ||||
\(28\) | 5.09808 | − | 1.36603i | 0.963446 | − | 0.258155i | ||||
\(29\) | −4.79122 | − | 2.76621i | −0.889707 | − | 0.513673i | −0.0158603 | − | 0.999874i | \(-0.505049\pi\) |
−0.873847 | + | 0.486202i | \(0.838382\pi\) | |||||||
\(30\) | 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 | \(0.558127\pi\) | |||||||
\(32\) | 2.31259 | + | 0.619657i | 0.408812 | + | 0.109541i | ||||
\(33\) | 3.03206 | + | 0.148292i | 0.527814 | + | 0.0258144i | ||||
\(34\) | −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 | ||||
\(37\) | −1.76795 | − | 6.59808i | −0.290649 | − | 1.08472i | −0.944612 | − | 0.328190i | \(-0.893561\pi\) |
0.653963 | − | 0.756527i | \(-0.273105\pi\) | |||||||
\(38\) | 2.47863 | 0.402086 | ||||||||
\(39\) | −0.924141 | − | 6.17624i | −0.147981 | − | 0.988990i | ||||
\(40\) | −9.92820 | −1.56979 | ||||||||
\(41\) | 0.166037 | + | 0.619657i | 0.0259306 | + | 0.0967741i | 0.977678 | − | 0.210107i | \(-0.0673812\pi\) |
−0.951748 | + | 0.306881i | \(0.900715\pi\) | |||||||
\(42\) | −1.79275 | + | 5.58376i | −0.276627 | + | 0.861593i | ||||
\(43\) | 7.09808 | − | 4.09808i | 1.08245 | − | 0.624951i | 0.150891 | − | 0.988550i | \(-0.451786\pi\) |
0.931555 | + | 0.363600i | \(0.118452\pi\) | |||||||
\(44\) | −4.62518 | + | 4.62518i | −0.697272 | + | 0.697272i | ||||
\(45\) | −7.08606 | + | 1.17309i | −1.05633 | + | 0.174874i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.77174 | + | 6.77174i | 0.987759 | + | 0.987759i | 0.999926 | − | 0.0121668i | \(-0.00387290\pi\) |
−0.0121668 | + | 0.999926i | \(0.503873\pi\) | |||||||
\(48\) | 3.16172 | − | 2.86687i | 0.456354 | − | 0.413797i | ||||
\(49\) | −4.33013 | − | 2.50000i | −0.618590 | − | 0.357143i | ||||
\(50\) | −1.69293 | + | 0.453620i | −0.239417 | + | 0.0641516i | ||||
\(51\) | −0.785693 | − | 3.63397i | −0.110019 | − | 0.508858i | ||||
\(52\) | 11.1962 | + | 7.46410i | 1.55263 | + | 1.03508i | ||||
\(53\) | − | 4.62518i | − | 0.635318i | −0.948205 | − | 0.317659i | \(-0.897103\pi\) | ||
0.948205 | − | 0.317659i | \(-0.102897\pi\) | |||||||
\(54\) | 7.72737 | − | 9.74952i | 1.05156 | − | 1.32674i | ||||
\(55\) | −2.09808 | + | 3.63397i | −0.282905 | + | 0.490005i | ||||
\(56\) | −2.93225 | − | 5.07880i | −0.391838 | − | 0.678683i | ||||
\(57\) | −0.971364 | + | 1.50726i | −0.128660 | + | 0.199642i | ||||
\(58\) | −3.42820 | + | 12.7942i | −0.450145 | + | 1.67996i | ||||
\(59\) | −1.23931 | + | 4.62518i | −0.161345 | + | 0.602147i | 0.837133 | + | 0.546999i | \(0.184230\pi\) |
−0.998478 | + | 0.0551484i | \(0.982437\pi\) | |||||||
\(60\) | 8.38356 | − | 13.0087i | 1.08231 | − | 1.67942i | ||||
\(61\) | 3.50000 | + | 6.06218i | 0.448129 | + | 0.776182i | 0.998264 | − | 0.0588933i | \(-0.0187572\pi\) |
−0.550135 | + | 0.835076i | \(0.685424\pi\) | |||||||
\(62\) | 7.55743 | − | 13.0899i | 0.959794 | − | 1.66241i | ||||
\(63\) | −2.69293 | − | 3.27843i | −0.339278 | − | 0.413043i | ||||
\(64\) | − | 10.6603i | − | 1.33253i | ||||||
\(65\) | 8.17709 | + | 2.76621i | 1.01424 | + | 0.343106i | ||||
\(66\) | −1.53590 | − | 7.10381i | −0.189056 | − | 0.874418i | ||||
\(67\) | −8.46410 | + | 2.26795i | −1.03405 | + | 0.277074i | −0.735647 | − | 0.677365i | \(-0.763122\pi\) |
−0.298407 | + | 0.954439i | \(0.596455\pi\) | |||||||
\(68\) | 6.93777 | + | 4.00552i | 0.841328 | + | 0.485741i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.73205 | − | 5.73205i | −0.685111 | − | 0.685111i | ||||
\(71\) | −4.62518 | − | 1.23931i | −0.548908 | − | 0.147079i | −0.0263025 | − | 0.999654i | \(-0.508373\pi\) |
−0.522606 | + | 0.852575i | \(0.675040\pi\) | |||||||
\(72\) | 2.03185 | + | 12.2734i | 0.239456 | + | 1.44644i | ||||
\(73\) | −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 | ||||
\(76\) | −1.00000 | − | 3.73205i | −0.114708 | − | 0.428096i | ||||
\(77\) | −2.47863 | −0.282466 | ||||||||
\(78\) | −13.7105 | + | 5.96431i | −1.55241 | + | 0.675325i | ||||
\(79\) | 2.00000 | 0.225018 | 0.112509 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112509 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(80\) | 1.52690 | + | 5.69846i | 0.170712 | + | 0.637107i | ||||
\(81\) | 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 | −0.635812 | − | 0.771844i | \(-0.719335\pi\) |
0.771844 | + | 0.635812i | \(0.219335\pi\) | |||||||
\(84\) | 9.13071 | + | 0.446565i | 0.996242 | + | 0.0487243i | ||||
\(85\) | 4.96410 | + | 1.33013i | 0.538432 | + | 0.144273i | ||||
\(86\) | −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 | ||||
\(89\) | 9.70398 | − | 2.60017i | 1.02862 | − | 0.275618i | 0.295230 | − | 0.955426i | \(-0.404604\pi\) |
0.733390 | + | 0.679808i | \(0.237937\pi\) | |||||||
\(90\) | 7.10381 | + | 15.6603i | 0.748807 | + | 1.65074i | ||||
\(91\) | 1.00000 | + | 5.00000i | 0.104828 | + | 0.524142i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.99826 | + | 9.72556i | 0.518296 | + | 1.00849i | ||||
\(94\) | 11.4641 | − | 19.8564i | 1.18243 | − | 2.04803i | ||||
\(95\) | −1.23931 | − | 2.14655i | −0.127151 | − | 0.220232i | ||||
\(96\) | 3.48568 | + | 2.24637i | 0.355756 | + | 0.229269i | ||||
\(97\) | 3.36603 | − | 12.5622i | 0.341768 | − | 1.27550i | −0.554575 | − | 0.832134i | \(-0.687119\pi\) |
0.896343 | − | 0.443362i | \(-0.146214\pi\) | |||||||
\(98\) | −3.09828 | + | 11.5630i | −0.312974 | + | 1.16803i | ||||
\(99\) | 4.92177 | + | 1.84997i | 0.494656 | + | 0.185929i | ||||
\(100\) | 1.36603 | + | 2.36603i | 0.136603 | + | 0.236603i | ||||
\(101\) | −9.87002 | + | 17.0954i | −0.982104 | + | 1.70105i | −0.327944 | + | 0.944697i | \(0.606356\pi\) |
−0.654160 | + | 0.756356i | \(0.726978\pi\) | |||||||
\(102\) | −7.91704 | + | 4.06880i | −0.783903 | + | 0.402872i | ||||
\(103\) | 6.92820i | 0.682656i | 0.939944 | + | 0.341328i | \(0.110877\pi\) | ||||
−0.939944 | + | 0.341328i | \(0.889123\pi\) | |||||||
\(104\) | 4.79122 | − | 14.1631i | 0.469818 | − | 1.38881i | ||||
\(105\) | 5.73205 | − | 1.23931i | 0.559391 | − | 0.120945i | ||||
\(106\) | −10.6962 | + | 2.86603i | −1.03890 | + | 0.278373i | ||||
\(107\) | −14.4507 | − | 8.34312i | −1.39700 | − | 0.806560i | −0.402925 | − | 0.915233i | \(-0.632007\pi\) |
−0.994078 | + | 0.108673i | \(0.965340\pi\) | |||||||
\(108\) | −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 | \(0.810817\pi\) | |||||||
\(110\) | 9.70398 | + | 2.60017i | 0.925239 | + | 0.247917i | ||||
\(111\) | 0.577958 | − | 11.8172i | 0.0548573 | − | 1.12164i | ||||
\(112\) | −2.46410 | + | 2.46410i | −0.232836 | + | 0.232836i | ||||
\(113\) | 11.2309 | − | 6.48415i | 1.05651 | − | 0.609978i | 0.132047 | − | 0.991243i | \(-0.457845\pi\) |
0.924465 | + | 0.381266i | \(0.124512\pi\) | |||||||
\(114\) | 4.08759 | + | 1.31238i | 0.382838 | + | 0.122916i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 20.6473 | 1.91705 | ||||||||
\(117\) | 1.74616 | − | 10.6748i | 0.161433 | − | 0.986884i | ||||
\(118\) | 11.4641 | 1.05536 | ||||||||
\(119\) | 0.785693 | + | 2.93225i | 0.0720244 | + | 0.268799i | ||||
\(120\) | −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 | ||||
\(123\) | −0.0542788 | + | 1.10981i | −0.00489415 | + | 0.100068i | ||||
\(124\) | −22.7583 | − | 6.09808i | −2.04376 | − | 0.547623i | ||||
\(125\) | −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 | \(-0.0991834\pi\) |
0.210420 | + | 0.977611i | \(0.432517\pi\) | |||||||
\(128\) | −20.0276 | + | 5.36639i | −1.77021 | + | 0.474326i | ||||
\(129\) | 13.8755 | − | 3.00000i | 1.22167 | − | 0.264135i | ||||
\(130\) | 1.33013 | − | 20.6244i | 0.116660 | − | 1.80888i | ||||
\(131\) | − | 0.907241i | − | 0.0792660i | −0.999214 | − | 0.0396330i | \(-0.987381\pi\) | ||
0.999214 | − | 0.0396330i | \(-0.0126189\pi\) | |||||||
\(132\) | −10.0765 | + | 5.17862i | −0.877046 | + | 0.450741i | ||||
\(133\) | 0.732051 | − | 1.26795i | 0.0634769 | − | 0.109945i | ||||
\(134\) | 10.4897 | + | 18.1687i | 0.906170 | + | 1.56953i | ||||
\(135\) | −12.3070 | − | 1.81734i | −1.05922 | − | 0.156412i | ||||
\(136\) | 2.30385 | − | 8.59808i | 0.197553 | − | 0.737279i | ||||
\(137\) | −1.52690 | + | 5.69846i | −0.130452 | + | 0.486852i | −0.999975 | − | 0.00703925i | \(-0.997759\pi\) |
0.869524 | + | 0.493891i | \(0.164426\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.19615 | + | 2.07180i | 0.101456 | + | 0.175728i | 0.912285 | − | 0.409556i | \(-0.134316\pi\) |
−0.810829 | + | 0.585284i | \(0.800983\pi\) | |||||||
\(140\) | −6.31812 | + | 10.9433i | −0.533978 | + | 0.924877i | ||||
\(141\) | 7.58202 | + | 14.7530i | 0.638521 | + | 1.24243i | ||||
\(142\) | 11.4641i | 0.962046i | ||||||||
\(143\) | −4.17156 | − | 4.74673i | −0.348843 | − | 0.396941i | ||||
\(144\) | 6.73205 | − | 3.05379i | 0.561004 | − | 0.254483i | ||||
\(145\) | 12.7942 | − | 3.42820i | 1.06250 | − | 0.284697i | ||||
\(146\) | 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 | ||||
\(149\) | 5.24484 | + | 1.40535i | 0.429674 | + | 0.115131i | 0.467173 | − | 0.884166i | \(-0.345272\pi\) |
−0.0374992 | + | 0.999297i | \(0.511939\pi\) | |||||||
\(150\) | −3.03206 | − | 0.148292i | −0.247567 | − | 0.0121080i | ||||
\(151\) | 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 | ||||
\(154\) | 1.53590 | + | 5.73205i | 0.123766 | + | 0.461902i | ||||
\(155\) | −15.1149 | −1.21405 | ||||||||
\(156\) | 14.5119 | + | 18.2375i | 1.16188 | + | 1.46017i | ||||
\(157\) | −15.1962 | −1.21278 | −0.606392 | − | 0.795165i | \(-0.707384\pi\) | ||||
−0.606392 | + | 0.795165i | \(0.707384\pi\) | |||||||
\(158\) | −1.23931 | − | 4.62518i | −0.0985945 | − | 0.367960i | ||||
\(159\) | 2.44894 | − | 7.62756i | 0.194214 | − | 0.604905i | ||||
\(160\) | −4.96410 | + | 2.86603i | −0.392447 | + | 0.226579i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 17.9057 | − | 11.9868i | 1.40680 | − | 0.941772i | ||||
\(163\) | −14.9282 | − | 4.00000i | −1.16927 | − | 0.313304i | −0.378606 | − | 0.925558i | \(-0.623596\pi\) |
−0.790661 | + | 0.612254i | \(0.790263\pi\) | |||||||
\(164\) | −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 | ||||
\(167\) | −11.3969 | + | 3.05379i | −0.881920 | + | 0.236310i | −0.671235 | − | 0.741244i | \(-0.734236\pi\) |
−0.210685 | + | 0.977554i | \(0.567569\pi\) | |||||||
\(168\) | −2.14655 | − | 9.92820i | −0.165610 | − | 0.765978i | ||||
\(169\) | −7.89230 | + | 10.3301i | −0.607100 | + | 0.794625i | ||||
\(170\) | − | 12.3042i | − | 0.943686i | ||||||
\(171\) | −2.39998 | + | 1.97136i | −0.183531 | + | 0.150754i | ||||
\(172\) | −15.2942 | + | 26.4904i | −1.16617 | + | 2.01987i | ||||
\(173\) | −3.71794 | − | 6.43966i | −0.282670 | − | 0.489598i | 0.689372 | − | 0.724408i | \(-0.257887\pi\) |
−0.972041 | + | 0.234809i | \(0.924553\pi\) | |||||||
\(174\) | −12.4279 | + | 19.2843i | −0.942154 | + | 1.46194i | ||||
\(175\) | −0.267949 | + | 1.00000i | −0.0202551 | + | 0.0755929i | ||||
\(176\) | 1.11777 | − | 4.17156i | 0.0842548 | − | 0.314443i | ||||
\(177\) | −4.49274 | + | 6.97136i | −0.337695 | + | 0.524000i | ||||
\(178\) | −12.0263 | − | 20.8301i | −0.901408 | − | 1.56128i | ||||
\(179\) | 9.37191 | − | 16.2326i | 0.700489 | − | 1.21328i | −0.267805 | − | 0.963473i | \(-0.586298\pi\) |
0.968295 | − | 0.249810i | \(-0.0803683\pi\) | |||||||
\(180\) | 20.7135 | − | 17.0143i | 1.54389 | − | 1.26817i | ||||
\(181\) | − | 3.00000i | − | 0.222988i | −0.993765 | − | 0.111494i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111494i | \(-0.0355636\pi\) | |||||||
\(182\) | 10.9433 | − | 5.41087i | 0.811171 | − | 0.401081i | ||||
\(183\) | 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 | ||||
\(188\) | −34.5228 | − | 9.25036i | −2.51784 | − | 0.674652i | ||||
\(189\) | −2.70515 | − | 6.83243i | −0.196771 | − | 0.496986i | ||||
\(190\) | −4.19615 | + | 4.19615i | −0.304421 | + | 0.304421i | ||||
\(191\) | 16.8078 | − | 9.70398i | 1.21617 | − | 0.702156i | 0.252073 | − | 0.967708i | \(-0.418888\pi\) |
0.964096 | + | 0.265553i | \(0.0855544\pi\) | |||||||
\(192\) | 5.64439 | − | 17.5802i | 0.407349 | − | 1.26874i | ||||
\(193\) | 1.86603 | + | 6.96410i | 0.134319 | + | 0.501287i | 1.00000 | 0.000689767i | \(0.000219560\pi\) | |
−0.865680 | + | 0.500597i | \(0.833114\pi\) | |||||||
\(194\) | −31.1370 | −2.23550 | ||||||||
\(195\) | 12.0205 | + | 8.89146i | 0.860804 | + | 0.636731i | ||||
\(196\) | 18.6603 | 1.33288 | ||||||||
\(197\) | 0.453620 | + | 1.69293i | 0.0323191 | + | 0.120617i | 0.980201 | − | 0.198006i | \(-0.0634465\pi\) |
−0.947882 | + | 0.318622i | \(0.896780\pi\) | |||||||
\(198\) | 1.22842 | − | 12.5284i | 0.0872998 | − | 0.890353i | ||||
\(199\) | 0.803848 | − | 0.464102i | 0.0569832 | − | 0.0328993i | −0.471238 | − | 0.882006i | \(-0.656193\pi\) |
0.528221 | + | 0.849107i | \(0.322859\pi\) | |||||||
\(200\) | 2.14655 | − | 2.14655i | 0.151784 | − | 0.151784i | ||||
\(201\) | −15.1593 | − | 0.741412i | −1.06925 | − | 0.0522952i | ||||
\(202\) | 45.6506 | + | 12.2321i | 3.21197 | + | 0.860644i | ||||
\(203\) | 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 | ||||
\(206\) | 16.0221 | − | 4.29311i | 1.11631 | − | 0.299115i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −8.86603 | − | 0.571797i | −0.614748 | − | 0.0396470i | ||||
\(209\) | 1.81448i | 0.125510i | ||||||||
\(210\) | −6.41793 | − | 12.4879i | −0.442879 | − | 0.861750i | ||||
\(211\) | 6.09808 | − | 10.5622i | 0.419809 | − | 0.727130i | −0.576111 | − | 0.817371i | \(-0.695430\pi\) |
0.995920 | + | 0.0902411i | \(0.0287638\pi\) | |||||||
\(212\) | 8.63071 | + | 14.9488i | 0.592759 | + | 1.02669i | ||||
\(213\) | −6.97136 | − | 4.49274i | −0.477670 | − | 0.307837i | ||||
\(214\) | −10.3397 | + | 38.5885i | −0.706810 | + | 2.63785i | ||||
\(215\) | −5.07880 | + | 18.9543i | −0.346371 | + | 1.29268i | ||||
\(216\) | −3.14772 | + | 21.3164i | −0.214176 | + | 1.45040i | ||||
\(217\) | −4.46410 | − | 7.73205i | −0.303043 | − | 0.524886i | ||||
\(218\) | −4.74673 | + | 8.22158i | −0.321489 | + | 0.556835i | ||||
\(219\) | −13.2854 | + | 6.82775i | −0.897742 | + | 0.461377i | ||||
\(220\) | − | 15.6603i | − | 1.05581i | ||||||
\(221\) | −4.29311 | + | 6.43966i | −0.288786 | + | 0.433179i | ||||
\(222\) | −27.6865 | + | 5.98604i | −1.85820 | + | 0.401757i | ||||
\(223\) | 22.2942 | − | 5.97372i | 1.49293 | − | 0.400030i | 0.582206 | − | 0.813041i | \(-0.302190\pi\) |
0.910726 | + | 0.413011i | \(0.135523\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 15.1149 | + | 4.05001i | 1.00321 | + | 0.268809i | 0.722789 | − | 0.691069i | \(-0.242860\pi\) |
0.280419 | + | 0.959878i | \(0.409526\pi\) | |||||||
\(228\) | 0.326909 | − | 6.68414i | 0.0216500 | − | 0.442668i | ||||
\(229\) | 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 | ||||
\(232\) | −5.93782 | − | 22.1603i | −0.389837 | − | 1.45489i | ||||
\(233\) | 7.43588 | 0.487141 | 0.243570 | − | 0.969883i | \(-0.421681\pi\) | ||||
0.243570 | + | 0.969883i | \(0.421681\pi\) | |||||||
\(234\) | −25.7684 | + | 2.57655i | −1.68453 | + | 0.168434i | ||||
\(235\) | −22.9282 | −1.49567 | ||||||||
\(236\) | −4.62518 | − | 17.2614i | −0.301074 | − | 1.12362i | ||||
\(237\) | 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 | −0.438986 | − | 0.898494i | \(-0.644662\pi\) |
0.898494 | + | 0.438986i | \(0.144662\pi\) | |||||||
\(240\) | −0.499156 | + | 10.2060i | −0.0322204 | + | 0.658794i | ||||
\(241\) | 7.23205 | + | 1.93782i | 0.465857 | + | 0.124826i | 0.484110 | − | 0.875007i | \(-0.339144\pi\) |
−0.0182524 | + | 0.999833i | \(0.505810\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 11.5630 | − | 3.09828i | 0.738730 | − | 0.197942i | ||||
\(246\) | 2.60017 | − | 0.562178i | 0.165781 | − | 0.0358431i | ||||
\(247\) | 3.66025 | − | 0.732051i | 0.232896 | − | 0.0465793i | ||||
\(248\) | 26.1797i | 1.66241i | ||||||||
\(249\) | 2.69999 | − | 1.38761i | 0.171105 | − | 0.0879360i | ||||
\(250\) | −12.2321 | + | 21.1865i | −0.773623 | + | 1.33995i | ||||
\(251\) | 10.9433 | + | 18.9543i | 0.690735 | + | 1.19639i | 0.971597 | + | 0.236640i | \(0.0760461\pi\) |
−0.280863 | + | 0.959748i | \(0.590621\pi\) | |||||||
\(252\) | 14.8213 | + | 5.57097i | 0.933656 | + | 0.350938i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 9.37191 | − | 34.9764i | 0.588046 | − | 2.19462i | ||||
\(255\) | 7.48221 | + | 4.82195i | 0.468554 | + | 0.301962i | ||||
\(256\) | 14.1603 | + | 24.5263i | 0.885016 | + | 1.53289i | ||||
\(257\) | −8.29863 | + | 14.3737i | −0.517655 | + | 0.896604i | 0.482135 | + | 0.876097i | \(0.339861\pi\) |
−0.999790 | + | 0.0205071i | \(0.993472\pi\) | |||||||
\(258\) | −15.5358 | − | 30.2295i | −0.967220 | − | 1.88201i | ||||
\(259\) | 9.66025i | 0.600259i | ||||||||
\(260\) | −31.5906 | + | 6.31812i | −1.95916 | + | 0.391833i | ||||
\(261\) | −6.85641 | − | 15.1149i | −0.424401 | − | 0.935586i | ||||
\(262\) | −2.09808 | + | 0.562178i | −0.129620 | + | 0.0347315i | ||||
\(263\) | −10.3681 | − | 5.98604i | −0.639326 | − | 0.369115i | 0.145029 | − | 0.989427i | \(-0.453673\pi\) |
−0.784355 | + | 0.620312i | \(0.787006\pi\) | |||||||
\(264\) | 8.45593 | + | 9.32559i | 0.520426 | + | 0.573950i | ||||
\(265\) | 7.83013 | + | 7.83013i | 0.481001 | + | 0.481001i | ||||
\(266\) | −3.38587 | − | 0.907241i | −0.207601 | − | 0.0556265i | ||||
\(267\) | 17.3799 | + | 0.850019i | 1.06363 | + | 0.0520203i | ||||
\(268\) | 23.1244 | − | 23.1244i | 1.41254 | − | 1.41254i | ||||
\(269\) | −9.58244 | + | 5.53242i | −0.584251 | + | 0.337318i | −0.762821 | − | 0.646610i | \(-0.776186\pi\) |
0.178570 | + | 0.983927i | \(0.442853\pi\) | |||||||
\(270\) | 3.42336 | + | 29.5872i | 0.208339 | + | 1.80062i | ||||
\(271\) | 0.535898 | + | 2.00000i | 0.0325535 | + | 0.121491i | 0.980291 | − | 0.197561i | \(-0.0633021\pi\) |
−0.947737 | + | 0.319052i | \(0.896635\pi\) | |||||||
\(272\) | −5.28933 | −0.320713 | ||||||||
\(273\) | −0.998262 | + | 8.77516i | −0.0604176 | + | 0.531097i | ||||
\(274\) | 14.1244 | 0.853284 | ||||||||
\(275\) | −0.332073 | − | 1.23931i | −0.0200248 | − | 0.0747334i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.10770 | − | 1.79423i | 0.186723 | − | 0.107805i | −0.403724 | − | 0.914881i | \(-0.632285\pi\) |
0.590448 | + | 0.807076i | \(0.298951\pi\) | |||||||
\(278\) | 4.05001 | − | 4.05001i | 0.242904 | − | 0.242904i | ||||
\(279\) | 3.09333 | + | 18.6853i | 0.185193 | + | 1.11866i | ||||
\(280\) | 13.5622 | + | 3.63397i | 0.810495 | + | 0.217172i | ||||
\(281\) | −15.9006 | − | 15.9006i | −0.948547 | − | 0.948547i | 0.0501922 | − | 0.998740i | \(-0.484017\pi\) |
−0.998740 | + | 0.0501922i | \(0.984017\pi\) | |||||||
\(282\) | 29.4194 | − | 26.6759i | 1.75190 | − | 1.58853i | ||||
\(283\) | −21.2942 | − | 12.2942i | −1.26581 | − | 0.730816i | −0.291618 | − | 0.956535i | \(-0.594194\pi\) |
−0.974192 | + | 0.225719i | \(0.927527\pi\) | |||||||
\(284\) | 17.2614 | − | 4.62518i | 1.02428 | − | 0.274454i | ||||
\(285\) | −0.907241 | − | 4.19615i | −0.0537403 | − | 0.248559i | ||||
\(286\) | −8.39230 | + | 12.5885i | −0.496247 | + | 0.744371i | ||||
\(287\) | − | 0.907241i | − | 0.0535527i | ||||||
\(288\) | 4.55896 | + | 5.55017i | 0.268639 | + | 0.327047i | ||||
\(289\) | 6.19615 | − | 10.7321i | 0.364480 | − | 0.631297i | ||||
\(290\) | −15.8561 | − | 27.4635i | −0.931100 | − | 1.61271i | ||||
\(291\) | 12.2025 | − | 18.9345i | 0.715320 | − | 1.10996i | ||||
\(292\) | 8.33013 | − | 31.0885i | 0.487484 | − | 1.81931i | ||||
\(293\) | 5.69846 | − | 21.2669i | 0.332908 | − | 1.24243i | −0.573212 | − | 0.819407i | \(-0.694303\pi\) |
0.906120 | − | 0.423021i | \(-0.139030\pi\) | |||||||
\(294\) | −11.2318 | + | 17.4284i | −0.655054 | + | 1.01645i | ||||
\(295\) | −5.73205 | − | 9.92820i | −0.333733 | − | 0.578042i | ||||
\(296\) | 14.1631 | − | 24.5313i | 0.823215 | − | 1.42585i | ||||
\(297\) | 7.13714 | + | 5.65683i | 0.414139 | + | 0.328242i | ||||
\(298\) | − | 13.0000i | − | 0.753070i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | + | 4.62518i | 0.0577350 | + | 0.267035i | ||||
\(301\) | −11.1962 | + | 3.00000i | −0.645335 | + | 0.172917i | ||||
\(302\) | −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 | ||||
\(305\) | −16.1881 | − | 4.33760i | −0.926930 | − | 0.248370i | ||||
\(306\) | −15.2106 | + | 2.51810i | −0.869533 | + | 0.143950i | ||||
\(307\) | −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 | ||||
\(310\) | 9.36603 | + | 34.9545i | 0.531954 | + | 1.98528i | ||||
\(311\) | −4.29311 | −0.243440 | −0.121720 | − | 0.992564i | \(-0.538841\pi\) | ||||
−0.121720 | + | 0.992564i | \(0.538841\pi\) | |||||||
\(312\) | 15.4005 | − | 20.8201i | 0.871879 | − | 1.17870i | ||||
\(313\) | 2.00000 | 0.113047 | 0.0565233 | − | 0.998401i | \(-0.481998\pi\) | ||||
0.0565233 | + | 0.998401i | \(0.481998\pi\) | |||||||
\(314\) | 9.41640 | + | 35.1425i | 0.531398 | + | 1.98321i | ||||
\(315\) | 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 | −0.948891 | − | 0.315603i | \(-0.897793\pi\) |
0.315603 | + | 0.948891i | \(0.397793\pi\) | |||||||
\(318\) | −19.1569 | − | 0.936928i | −1.07427 | − | 0.0525403i | ||||
\(319\) | −9.36603 | − | 2.50962i | −0.524397 | − | 0.140512i | ||||
\(320\) | 18.0471 | + | 18.0471i | 1.00886 | + | 1.00886i | ||||
\(321\) | −19.4137 | − | 21.4103i | −1.08357 | − | 1.19501i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.14655 | − | 0.575167i | 0.119437 | − | 0.0320032i | ||||
\(324\) | −25.2725 | − | 22.1244i | −1.40403 | − | 1.22913i | ||||
\(325\) | −2.36603 | + | 1.16987i | −0.131243 | + | 0.0648929i | ||||
\(326\) | 37.0015i | 2.04932i | ||||||||
\(327\) | −3.13935 | − | 6.10851i | −0.173606 | − | 0.337801i | ||||
\(328\) | −1.33013 | + | 2.30385i | −0.0734440 | + | 0.127209i | ||||
\(329\) | −6.77174 | − | 11.7290i | −0.373338 | − | 0.646640i | ||||
\(330\) | 14.6265 | + | 9.42610i | 0.805160 | + | 0.518890i | ||||
\(331\) | 5.05256 | − | 18.8564i | 0.277714 | − | 1.03644i | −0.676287 | − | 0.736638i | \(-0.736412\pi\) |
0.954001 | − | 0.299804i | \(-0.0969212\pi\) | |||||||
\(332\) | −1.69293 | + | 6.31812i | −0.0929118 | + | 0.346752i | ||||
\(333\) | 7.21011 | − | 19.1822i | 0.395112 | − | 1.05118i | ||||
\(334\) | 14.1244 | + | 24.4641i | 0.772850 | + | 1.33862i | ||||
\(335\) | 10.4897 | − | 18.1687i | 0.573112 | − | 0.992660i | ||||
\(336\) | −5.36833 | + | 2.75895i | −0.292867 | + | 0.150513i | ||||
\(337\) | 11.5359i | 0.628400i | 0.949357 | + | 0.314200i | \(0.101736\pi\) | ||||
−0.949357 | + | 0.314200i | \(0.898264\pi\) | |||||||
\(338\) | 28.7799 | + | 11.8505i | 1.56542 | + | 0.644584i | ||||
\(339\) | 21.9545 | − | 4.74673i | 1.19240 | − | 0.257807i | ||||
\(340\) | −18.5263 | + | 4.96410i | −1.00473 | + | 0.269216i | ||||
\(341\) | 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 | ||||
\(344\) | 32.8299 | + | 8.79674i | 1.77007 | + | 0.474289i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.5885 | + | 12.5885i | −0.676760 | + | 0.676760i | ||||
\(347\) | −22.4618 | + | 12.9683i | −1.20581 | + | 0.696175i | −0.961841 | − | 0.273608i | \(-0.911783\pi\) |
−0.243969 | + | 0.969783i | \(0.578450\pi\) | |||||||
\(348\) | 34.0502 | + | 10.9323i | 1.82528 | + | 0.586034i | ||||
\(349\) | 1.50962 | + | 5.63397i | 0.0808080 | + | 0.301580i | 0.994487 | − | 0.104856i | \(-0.0334382\pi\) |
−0.913679 | + | 0.406436i | \(0.866772\pi\) | |||||||
\(350\) | 2.47863 | 0.132488 | ||||||||
\(351\) | 8.53174 | − | 16.6796i | 0.455390 | − | 0.890292i | ||||
\(352\) | 4.19615 | 0.223656 | ||||||||
\(353\) | −7.05932 | − | 26.3457i | −0.375730 | − | 1.40224i | −0.852276 | − | 0.523093i | \(-0.824778\pi\) |
0.476546 | − | 0.879149i | \(-0.341889\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −0.256850 | + | 5.25169i | −0.0135939 | + | 0.277949i | ||||
\(358\) | −43.3468 | − | 11.6147i | −2.29095 | − | 0.613858i | ||||
\(359\) | 12.0611 | + | 12.0611i | 0.636559 | + | 0.636559i | 0.949705 | − | 0.313146i | \(-0.101383\pi\) |
−0.313146 | + | 0.949705i | \(0.601383\pi\) | |||||||
\(360\) | −24.2179 | − | 17.3383i | −1.27639 | − | 0.913809i | ||||
\(361\) | 15.5263 | + | 8.96410i | 0.817173 | + | 0.471795i | ||||
\(362\) | −6.93777 | + | 1.85897i | −0.364641 | + | 0.0977053i | ||||
\(363\) | −13.4219 | + | 2.90192i | −0.704468 | + | 0.152311i | ||||
\(364\) | −12.5622 | − | 14.2942i | −0.658437 | − | 0.749221i | ||||
\(365\) | − | 20.6473i | − | 1.08073i | ||||||
\(366\) | 25.8178 | − | 13.2685i | 1.34952 | − | 0.693557i | ||||
\(367\) | −4.80385 | + | 8.32051i | −0.250759 | + | 0.434327i | −0.963735 | − | 0.266861i | \(-0.914013\pi\) |
0.712976 | + | 0.701188i | \(0.247347\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.677136 | + | 1.80149i | −0.0352503 | + | 0.0937819i | ||||
\(370\) | 10.1340 | − | 37.8205i | 0.526840 | − | 1.96619i | ||||
\(371\) | −1.69293 | + | 6.31812i | −0.0878928 | + | 0.328020i | ||||
\(372\) | −34.3028 | − | 22.1066i | −1.77852 | − | 1.14618i | ||||
\(373\) | 9.79423 | + | 16.9641i | 0.507126 | + | 0.878368i | 0.999966 | + | 0.00824796i | \(0.00262544\pi\) |
−0.492840 | + | 0.870120i | \(0.664041\pi\) | |||||||
\(374\) | −4.50363 | + | 7.80052i | −0.232877 | + | 0.403355i | ||||
\(375\) | −8.08992 | − | 15.7413i | −0.417762 | − | 0.812876i | ||||
\(376\) | 39.7128i | 2.04803i | ||||||||
\(377\) | −1.28380 | + | 19.9061i | −0.0661192 | + | 1.02522i | ||||
\(378\) | −14.1244 | + | 10.4897i | −0.726478 | + | 0.539531i | ||||
\(379\) | −4.83013 | + | 1.29423i | −0.248107 | + | 0.0664801i | −0.380729 | − | 0.924687i | \(-0.624327\pi\) |
0.132622 | + | 0.991167i | \(0.457660\pi\) | |||||||
\(380\) | 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 | ||||
\(383\) | 13.5435 | + | 3.62896i | 0.692039 | + | 0.185431i | 0.587662 | − | 0.809106i | \(-0.300048\pi\) |
0.104377 | + | 0.994538i | \(0.466715\pi\) | |||||||
\(384\) | −35.8697 | − | 1.75432i | −1.83047 | − | 0.0895246i | ||||
\(385\) | 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 | ||||
\(388\) | 12.5622 | + | 46.8827i | 0.637748 | + | 2.38011i | ||||
\(389\) | 5.28933 | 0.268180 | 0.134090 | − | 0.990969i | \(-0.457189\pi\) | ||||
0.134090 | + | 0.990969i | \(0.457189\pi\) | |||||||
\(390\) | 13.1137 | − | 33.3081i | 0.664040 | − | 1.68662i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −5.36639 | − | 20.0276i | −0.271043 | − | 1.01155i | ||||
\(393\) | 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 | ||||
\(396\) | −19.3595 | + | 3.20495i | −0.972851 | + | 0.161055i | ||||
\(397\) | 8.56218 | + | 2.29423i | 0.429723 | + | 0.115144i | 0.467196 | − | 0.884154i | \(-0.345264\pi\) |
−0.0374729 | + | 0.999298i | \(0.511931\pi\) | |||||||
\(398\) | −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 | ||||
\(401\) | −27.1314 | + | 7.26985i | −1.35488 | + | 0.363039i | −0.861933 | − | 0.507021i | \(-0.830747\pi\) |
−0.492946 | + | 0.870060i | \(0.664080\pi\) | |||||||
\(402\) | 7.67898 | + | 35.5167i | 0.382993 | + | 1.77141i | ||||
\(403\) | 7.29423 | − | 21.5622i | 0.363351 | − | 1.07409i | ||||
\(404\) | − | 73.6708i | − | 3.66526i | ||||||
\(405\) | −19.3337 | − | 9.51336i | −0.960700 | − | 0.472722i | ||||
\(406\) | 9.36603 | − | 16.2224i | 0.464828 | − | 0.805106i | ||||
\(407\) | −5.98604 | − | 10.3681i | −0.296717 | − | 0.513929i | ||||
\(408\) | 8.35187 | − | 12.9596i | 0.413479 | − | 0.641594i | ||||
\(409\) | 3.00962 | − | 11.2321i | 0.148816 | − | 0.555389i | −0.850740 | − | 0.525587i | \(-0.823846\pi\) |
0.999556 | − | 0.0298020i | \(-0.00948767\pi\) | |||||||
\(410\) | −0.951730 | + | 3.55190i | −0.0470026 | + | 0.175416i | ||||
\(411\) | −5.53528 | + | 8.58908i | −0.273035 | + | 0.423668i | ||||
\(412\) | −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 | ||||||||
\(416\) | −1.69293 | − | 8.46467i | −0.0830029 | − | 0.415015i | ||||
\(417\) | 0.875644 | + | 4.05001i | 0.0428805 | + | 0.198330i | ||||
\(418\) | 4.19615 | − | 1.12436i | 0.205241 | − | 0.0549940i | ||||
\(419\) | 7.22536 | + | 4.17156i | 0.352982 | + | 0.203794i | 0.665998 | − | 0.745954i | \(-0.268006\pi\) |
−0.313016 | + | 0.949748i | \(0.601339\pi\) | |||||||
\(420\) | −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 | \(0.740893\pi\) | |||||||
\(422\) | −28.2047 | − | 7.55743i | −1.37298 | − | 0.367890i | ||||
\(423\) | 4.69237 | + | 28.3443i | 0.228151 | + | 1.37815i | ||||
\(424\) | 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 | ||||
\(427\) | −2.56218 | − | 9.56218i | −0.123992 | − | 0.462746i | ||||
\(428\) | 62.2739 | 3.01012 | ||||||||
\(429\) | −4.36618 | − | 10.0368i | −0.210801 | − | 0.484579i | ||||
\(430\) | 46.9808 | 2.26561 | ||||||||
\(431\) | −0.542599 | − | 2.02501i | −0.0261361 | − | 0.0975412i | 0.951626 | − | 0.307260i | \(-0.0994120\pi\) |
−0.977762 | + | 0.209718i | \(0.932745\pi\) | |||||||
\(432\) | 12.7190 | − | 1.47164i | 0.611943 | − | 0.0708043i | ||||
\(433\) | −6.10770 | + | 3.52628i | −0.293517 | + | 0.169462i | −0.639527 | − | 0.768769i | \(-0.720870\pi\) |
0.346010 | + | 0.938231i | \(0.387536\pi\) | |||||||
\(434\) | −15.1149 | + | 15.1149i | −0.725536 | + | 0.725536i | ||||
\(435\) | 22.9146 | + | 1.12071i | 1.09867 | + | 0.0537339i | ||||
\(436\) | 14.2942 | + | 3.83013i | 0.684569 | + | 0.183430i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.0222 | + | 26.4928i | 1.14782 | + | 1.26587i | ||||
\(439\) | −4.09808 | − | 2.36603i | −0.195591 | − | 0.112924i | 0.399007 | − | 0.916948i | \(-0.369355\pi\) |
−0.594597 | + | 0.804024i | \(0.702688\pi\) | |||||||
\(440\) | −16.8078 | + | 4.50363i | −0.801280 | + | 0.214702i | ||||
\(441\) | −6.19657 | − | 13.6603i | −0.295075 | − | 0.650488i | ||||
\(442\) | 17.5526 | + | 5.93782i | 0.834890 | + | 0.282433i | ||||
\(443\) | 29.5656i | 1.40470i | 0.711830 | + | 0.702351i | \(0.247866\pi\) | ||||
−0.711830 | + | 0.702351i | \(0.752134\pi\) | |||||||
\(444\) | 20.1832 | + | 39.2723i | 0.957855 | + | 1.86378i | ||||
\(445\) | −12.0263 | + | 20.8301i | −0.570100 | + | 0.987443i | ||||
\(446\) | −27.6295 | − | 47.8558i | −1.30830 | − | 2.26604i | ||||
\(447\) | 7.90535 | + | 5.09465i | 0.373910 | + | 0.240969i | ||||
\(448\) | −3.90192 | + | 14.5622i | −0.184349 | + | 0.687998i | ||||
\(449\) | 2.26810 | − | 8.46467i | 0.107038 | − | 0.399472i | −0.891530 | − | 0.452961i | \(-0.850368\pi\) |
0.998568 | + | 0.0534890i | \(0.0170342\pi\) | |||||||
\(450\) | −4.92177 | − | 1.84997i | −0.232014 | − | 0.0872084i | ||||
\(451\) | 0.562178 | + | 0.973721i | 0.0264719 | + | 0.0458507i | ||||
\(452\) | −24.1992 | + | 41.9142i | −1.13823 | + | 1.97148i | ||||
\(453\) | 16.2614 | − | 8.35723i | 0.764028 | − | 0.392657i | ||||
\(454\) | − | 37.4641i | − | 1.75828i | ||||||
\(455\) | −10.1576 | − | 6.77174i | −0.476196 | − | 0.317464i | ||||
\(456\) | −7.26795 | + | 1.57139i | −0.340353 | + | 0.0735869i | ||||
\(457\) | −26.9904 | + | 7.23205i | −1.26256 | + | 0.338301i | −0.827175 | − | 0.561945i | \(-0.810053\pi\) |
−0.435382 | + | 0.900246i | \(0.643387\pi\) | |||||||
\(458\) | −29.6871 | − | 17.1399i | −1.38719 | − | 0.800893i | ||||
\(459\) | 4.42972 | − | 10.2365i | 0.206761 | − | 0.477798i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 23.4135 | + | 6.27363i | 1.09048 | + | 0.292192i | 0.758880 | − | 0.651230i | \(-0.225747\pi\) |
0.331595 | + | 0.943422i | \(0.392413\pi\) | |||||||
\(462\) | −0.502098 | + | 10.2662i | −0.0233597 | + | 0.477625i | ||||
\(463\) | −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 | ||||
\(466\) | −4.60770 | − | 17.1962i | −0.213447 | − | 0.796596i | ||||
\(467\) | 30.4728 | 1.41011 | 0.705057 | − | 0.709151i | \(-0.250921\pi\) | ||||
0.705057 | + | 0.709151i | \(0.250921\pi\) | |||||||
\(468\) | 14.2757 | + | 37.7598i | 0.659896 | + | 1.74545i | ||||
\(469\) | 12.3923 | 0.572223 | ||||||||
\(470\) | 14.2076 | + | 53.0236i | 0.655349 | + | 2.44579i | ||||
\(471\) | −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 | ||||
\(474\) | 0.405142 | − | 8.28375i | 0.0186088 | − | 0.380485i | ||||
\(475\) | 0.732051 | + | 0.196152i | 0.0335888 | + | 0.00900009i | ||||
\(476\) | −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 | ||||
\(479\) | −8.46467 | + | 2.26810i | −0.386761 | + | 0.103632i | −0.446959 | − | 0.894554i | \(-0.647493\pi\) |
0.0601988 | + | 0.998186i | \(0.480827\pi\) | |||||||
\(480\) | −9.70398 | + | 2.09808i | −0.442924 | + | 0.0957636i | ||||
\(481\) | −18.5000 | + | 16.2583i | −0.843527 | + | 0.741316i | ||||
\(482\) | − | 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 | ||||
\(486\) | 35.8756 | − | 10.2872i | 1.62735 | − | 0.466636i | ||||
\(487\) | −6.56218 | + | 24.4904i | −0.297361 | + | 1.10977i | 0.641964 | + | 0.766735i | \(0.278120\pi\) |
−0.939324 | + | 0.343030i | \(0.888547\pi\) | |||||||
\(488\) | −7.51294 | + | 28.0387i | −0.340095 | + | 1.26925i | ||||
\(489\) | −22.5007 | − | 14.5007i | −1.01752 | − | 0.655746i | ||||
\(490\) | −14.3301 | − | 24.8205i | −0.647369 | − | 1.12128i | ||||
\(491\) | 12.5147 | − | 21.6761i | 0.564780 | − | 0.978227i | −0.432290 | − | 0.901734i | \(-0.642294\pi\) |
0.997070 | − | 0.0764928i | \(-0.0243722\pi\) | |||||||
\(492\) | −1.89551 | − | 3.68825i | −0.0854560 | − | 0.166279i | ||||
\(493\) | 11.8756i | 0.534852i | ||||||||
\(494\) | −3.96104 | − | 8.01105i | −0.178215 | − | 0.360434i | ||||
\(495\) | −11.4641 | + | 5.20035i | −0.515273 | + | 0.233738i | ||||
\(496\) | 15.0263 | − | 4.02628i | 0.674700 | − | 0.180785i | ||||
\(497\) | 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 | \(0.704869\pi\) | |||||||
\(500\) | 36.8354 | + | 9.87002i | 1.64733 | + | 0.441401i | ||||
\(501\) | −20.4120 | − | 0.998312i | −0.911941 | − | 0.0446013i | ||||
\(502\) | 37.0526 | − | 37.0526i | 1.65374 | − | 1.65374i | ||||
\(503\) | −24.8188 | + | 14.3292i | −1.10662 | + | 0.638906i | −0.937951 | − | 0.346767i | \(-0.887279\pi\) |
−0.168666 | + | 0.985673i | \(0.553946\pi\) | |||||||
\(504\) | 1.71682 | − | 17.5095i | 0.0764733 | − | 0.779936i | ||||
\(505\) | −12.2321 | − | 45.6506i | −0.544319 | − | 2.03143i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −18.4851 | + | 12.8570i | −0.820951 | + | 0.570998i | ||||
\(508\) | −56.4449 | −2.50434 | ||||||||
\(509\) | 3.88398 | + | 14.4952i | 0.172154 | + | 0.642489i | 0.997019 | + | 0.0771582i | \(0.0245846\pi\) |
−0.824865 | + | 0.565330i | \(0.808749\pi\) | |||||||
\(510\) | 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 | ||||
\(513\) | −5.00169 | + | 1.98031i | −0.220830 | + | 0.0874328i | ||||
\(514\) | 38.3827 | + | 10.2846i | 1.69299 | + | 0.453635i | ||||
\(515\) | −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 | ||||
\(518\) | 22.3402 | − | 5.98604i | 0.981573 | − | 0.263012i | ||||
\(519\) | −2.72172 | − | 12.5885i | −0.119470 | − | 0.552572i | ||||
\(520\) | 15.8660 | + | 32.0885i | 0.695771 | + | 1.40717i | ||||
\(521\) | 33.2835i | 1.45818i | 0.684419 | + | 0.729089i | \(0.260056\pi\) | ||||
−0.684419 | + | 0.729089i | \(0.739944\pi\) | |||||||
\(522\) | −30.7059 | + | 25.2221i | −1.34396 | + | 1.10394i | ||||
\(523\) | −6.49038 | + | 11.2417i | −0.283805 | + | 0.491564i | −0.972319 | − | 0.233659i | \(-0.924930\pi\) |
0.688514 | + | 0.725223i | \(0.258263\pi\) | |||||||
\(524\) | 1.69293 | + | 2.93225i | 0.0739562 | + | 0.128096i | ||||
\(525\) | −0.971364 | + | 1.50726i | −0.0423938 | + | 0.0657823i | ||||
\(526\) | −7.41858 | + | 27.6865i | −0.323466 | + | 1.20719i | ||||
\(527\) | 3.50742 | − | 13.0899i | 0.152785 | − | 0.570203i | ||||
\(528\) | 4.05211 | − | 6.28764i | 0.176345 | − | 0.273634i | ||||
\(529\) | 11.5000 | + | 19.9186i | 0.500000 | + | 0.866025i | ||||
\(530\) | 13.2559 | − | 22.9599i | 0.575799 | − | 0.997313i | ||||
\(531\) | −11.1003 | + | 9.11792i | −0.481713 | + | 0.395684i | ||||
\(532\) | 5.46410i | 0.236899i | ||||||||
\(533\) | 1.73742 | − | 1.52690i | 0.0752562 | − | 0.0661373i | ||||
\(534\) | −8.80385 | − | 40.7194i | −0.380980 | − | 1.76210i | ||||
\(535\) | 38.5885 | − | 10.3397i | 1.66832 | − | 0.447026i | ||||
\(536\) | −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 | ||||
\(539\) | −8.46467 | − | 2.26810i | −0.364599 | − | 0.0976940i | ||||
\(540\) | 43.1681 | − | 17.0915i | 1.85766 | − | 0.735500i | ||||
\(541\) | 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 | ||||
\(544\) | −1.33013 | − | 4.96410i | −0.0570287 | − | 0.212834i | ||||
\(545\) | 9.49346 | 0.406655 | ||||||||
\(546\) | 20.9119 | − | 3.12902i | 0.894948 | − | 0.133910i | ||||
\(547\) | 2.00000 | 0.0855138 | 0.0427569 | − | 0.999086i | \(-0.486386\pi\) | ||||
0.0427569 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(548\) | −5.69846 | − | 21.2669i | −0.243426 | − | 0.908479i | ||||
\(549\) | −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 | ||||||||
\(553\) | −2.73205 | − | 0.732051i | −0.116179 | − | 0.0311300i | ||||
\(554\) | −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 | ||||
\(557\) | 39.3140 | − | 10.5342i | 1.66579 | − | 0.446347i | 0.701819 | − | 0.712355i | \(-0.252372\pi\) |
0.963971 | + | 0.266009i | \(0.0857049\pi\) | |||||||
\(558\) | 41.2946 | − | 18.7321i | 1.74814 | − | 0.792991i | ||||
\(559\) | −24.5885 | − | 16.3923i | −1.03998 | − | 0.693321i | ||||
\(560\) | − | 8.34312i | − | 0.352561i | ||||||
\(561\) | −2.97857 | − | 5.79567i | −0.125755 | − | 0.244693i | ||||
\(562\) | −26.9186 | + | 46.6244i | −1.13549 | + | 1.96673i | ||||
\(563\) | −2.14655 | − | 3.71794i | −0.0904665 | − | 0.156693i | 0.817241 | − | 0.576296i | \(-0.195502\pi\) |
−0.907708 | + | 0.419603i | \(0.862169\pi\) | |||||||
\(564\) | −52.0350 | − | 33.5342i | −2.19107 | − | 1.41205i | ||||
\(565\) | −8.03590 | + | 29.9904i | −0.338073 | + | 1.26170i | ||||
\(566\) | −15.2364 | + | 56.8630i | −0.640434 | + | 2.39013i | ||||
\(567\) | −0.843533 | − | 12.6999i | −0.0354250 | − | 0.533347i | ||||
\(568\) | −9.92820 | − | 17.1962i | −0.416578 | − | 0.721535i | ||||
\(569\) | −8.01105 | + | 13.8755i | −0.335841 | + | 0.581693i | −0.983646 | − | 0.180113i | \(-0.942354\pi\) |
0.647805 | + | 0.761806i | \(0.275687\pi\) | |||||||
\(570\) | −9.14181 | + | 4.69825i | −0.382908 | + | 0.196788i | ||||
\(571\) | − | 40.0526i | − | 1.67615i | −0.545557 | − | 0.838074i | \(-0.683682\pi\) | ||
0.545557 | − | 0.838074i | \(-0.316318\pi\) | |||||||
\(572\) | 22.3402 | + | 7.55743i | 0.934091 | + | 0.315992i | ||||
\(573\) | 32.8564 | − | 7.10381i | 1.37260 | − | 0.296766i | ||||
\(574\) | −2.09808 | + | 0.562178i | −0.0875720 | + | 0.0234648i | ||||
\(575\) | 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 | \(0.717237\pi\) | |||||||
\(578\) | −28.6583 | − | 7.67898i | −1.19203 | − | 0.319403i | ||||
\(579\) | −0.610020 | + | 12.4728i | −0.0253516 | + | 0.518351i | ||||
\(580\) | −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 | ||||
\(583\) | −2.09808 | − | 7.83013i | −0.0868934 | − | 0.324291i | ||||
\(584\) | −35.7621 | −1.47985 | ||||||||
\(585\) | 15.1156 | + | 21.0278i | 0.624952 | + | 0.869394i | ||||
\(586\) | −52.7128 | −2.17755 | ||||||||
\(587\) | −5.20035 | − | 19.4080i | −0.214641 | − | 0.801053i | −0.986292 | − | 0.165006i | \(-0.947235\pi\) |
0.771651 | − | 0.636046i | \(-0.219431\pi\) | |||||||
\(588\) | 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 | ||||
\(591\) | −0.148292 | + | 3.03206i | −0.00609993 | + | 0.124722i | ||||
\(592\) | −16.2583 | − | 4.35641i | −0.668213 | − | 0.179047i | ||||
\(593\) | −10.6112 | − | 10.6112i | −0.435751 | − | 0.435751i | 0.454828 | − | 0.890579i | \(-0.349701\pi\) |
−0.890579 | + | 0.454828i | \(0.849701\pi\) | |||||||
\(594\) | 8.65935 | − | 20.0106i | 0.355297 | − | 0.821044i | ||||
\(595\) | −6.29423 | − | 3.63397i | −0.258038 | − | 0.148978i | ||||
\(596\) | −19.5740 | + | 5.24484i | −0.801782 | + | 0.214837i | ||||
\(597\) | 1.57139 | − | 0.339746i | 0.0643126 | − | 0.0139049i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 21.2224i | − | 0.867126i | −0.901123 | − | 0.433563i | \(-0.857256\pi\) | ||
0.901123 | − | 0.433563i | \(-0.142744\pi\) | |||||||
\(600\) | 4.67652 | − | 2.40340i | 0.190918 | − | 0.0981186i | ||||
\(601\) | 3.79423 | − | 6.57180i | 0.154770 | − | 0.268069i | −0.778205 | − | 0.628010i | \(-0.783870\pi\) |
0.932975 | + | 0.359941i | \(0.117203\pi\) | |||||||
\(602\) | 13.8755 | + | 24.0331i | 0.565525 | + | 0.979518i | ||||
\(603\) | −24.6072 | − | 9.24923i | −1.00208 | − | 0.376658i | ||||
\(604\) | −10.1962 | + | 38.0526i | −0.414876 | + | 1.54834i | ||||
\(605\) | 4.91277 | − | 18.3347i | 0.199732 | − | 0.745411i | ||||
\(606\) | 68.8075 | + | 44.3434i | 2.79511 | + | 1.80133i | ||||
\(607\) | −5.09808 | − | 8.83013i | −0.206925 | − | 0.358404i | 0.743820 | − | 0.668380i | \(-0.233012\pi\) |
−0.950744 | + | 0.309977i | \(0.899679\pi\) | |||||||
\(608\) | −1.23931 | + | 2.14655i | −0.0502608 | + | 0.0870543i | ||||
\(609\) | 6.19441 | + | 12.0530i | 0.251010 | + | 0.488413i | ||||
\(610\) | 40.1244i | 1.62459i | ||||||||
\(611\) | 11.0648 | − | 32.7083i | 0.447636 | − | 1.32324i | ||||
\(612\) | 9.92820 | + | 21.8866i | 0.401324 | + | 0.884713i | ||||
\(613\) | 16.3564 | − | 4.38269i | 0.660629 | − | 0.177015i | 0.0870991 | − | 0.996200i | \(-0.472240\pi\) |
0.573530 | + | 0.819185i | \(0.305574\pi\) | |||||||
\(614\) | 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 | ||||
\(617\) | −36.3818 | − | 9.74847i | −1.46468 | − | 0.392459i | −0.563574 | − | 0.826066i | \(-0.690574\pi\) |
−0.901102 | + | 0.433607i | \(0.857241\pi\) | |||||||
\(618\) | 28.6957 | + | 1.40345i | 1.15431 | + | 0.0564552i | ||||
\(619\) | −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 | ||||||||
\(622\) | 2.66025 | + | 9.92820i | 0.106666 | + | 0.398085i | ||||
\(623\) | −14.2076 | −0.569216 | ||||||||
\(624\) | −14.3185 | − | 5.63735i | −0.573200 | − | 0.225675i | ||||
\(625\) | 28.1244 | 1.12497 | ||||||||
\(626\) | −1.23931 | − | 4.62518i | −0.0495329 | − | 0.184859i | ||||
\(627\) | −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 | ||||
\(630\) | −3.97193 | − | 23.9925i | −0.158246 | − | 0.955883i | ||||
\(631\) | 2.26795 | + | 0.607695i | 0.0902856 | + | 0.0241920i | 0.303679 | − | 0.952774i | \(-0.401785\pi\) |
−0.213393 | + | 0.976966i | \(0.568452\pi\) | |||||||
\(632\) | 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 | ||||
\(635\) | −34.9764 | + | 9.37191i | −1.38800 | + | 0.371913i | ||||
\(636\) | 6.31812 | + | 29.2224i | 0.250530 | + | 1.15874i | ||||
\(637\) | −1.16025 | + | 17.9904i | −0.0459709 | + | 0.712805i | ||||
\(638\) | 23.2149i | 0.919086i | ||||||||
\(639\) | −9.11792 | − | 11.1003i | −0.360699 | − | 0.439122i | ||||
\(640\) | 24.8205 | − | 42.9904i | 0.981117 | − | 1.69934i | ||||
\(641\) | 9.65949 | + | 16.7307i | 0.381527 | + | 0.660824i | 0.991281 | − | 0.131767i | \(-0.0420650\pi\) |
−0.609754 | + | 0.792591i | \(0.708732\pi\) | |||||||
\(642\) | −37.4835 | + | 58.1629i | −1.47935 | + | 2.29551i | ||||
\(643\) | 7.00000 | − | 26.1244i | 0.276053 | − | 1.03024i | −0.679079 | − | 0.734065i | \(-0.737621\pi\) |
0.955132 | − | 0.296179i | \(-0.0957125\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −18.4116 | + | 28.5692i | −0.724955 | + | 1.12491i | ||||
\(646\) | −2.66025 | − | 4.60770i | −0.104666 | − | 0.181287i | ||||
\(647\) | −7.22536 | + | 12.5147i | −0.284058 | + | 0.492003i | −0.972380 | − | 0.233402i | \(-0.925014\pi\) |
0.688322 | + | 0.725405i | \(0.258348\pi\) | |||||||
\(648\) | −16.4776 | + | 33.4870i | −0.647302 | + | 1.31549i | ||||
\(649\) | 8.39230i | 0.329427i | ||||||||
\(650\) | 4.17156 | + | 4.74673i | 0.163622 | + | 0.186182i | ||||
\(651\) | −3.26795 | − | 15.1149i | −0.128081 | − | 0.592398i | ||||
\(652\) | 55.7128 | − | 14.9282i | 2.18188 | − | 0.584634i | ||||
\(653\) | 33.6156 | + | 19.4080i | 1.31548 | + | 0.759492i | 0.982998 | − | 0.183617i | \(-0.0587807\pi\) |
0.332482 | + | 0.943110i | \(0.392114\pi\) | |||||||
\(654\) | −12.1812 | + | 11.0452i | −0.476321 | + | 0.431902i | ||||
\(655\) | 1.53590 | + | 1.53590i | 0.0600125 | + | 0.0600125i | ||||
\(656\) | 1.52690 | + | 0.409131i | 0.0596153 | + | 0.0159739i | ||||
\(657\) | −25.5245 | + | 4.22556i | −0.995807 | + | 0.164855i | ||||
\(658\) | −22.9282 | + | 22.9282i | −0.893834 | + | 0.893834i | ||||
\(659\) | −27.1759 | + | 15.6900i | −1.05862 | + | 0.611197i | −0.925051 | − | 0.379842i | \(-0.875978\pi\) |
−0.133572 | + | 0.991039i | \(0.542645\pi\) | |||||||
\(660\) | 8.29179 | − | 25.8259i | 0.322757 | − | 1.00527i | ||||
\(661\) | −4.42820 | − | 16.5263i | −0.172237 | − | 0.642798i | −0.997006 | − | 0.0773274i | \(-0.975361\pi\) |
0.824769 | − | 0.565470i | \(-0.191305\pi\) | |||||||
\(662\) | −46.7380 | −1.81652 | ||||||||
\(663\) | −10.4896 | + | 8.34677i | −0.407382 | + | 0.324162i | ||||
\(664\) | 7.26795 | 0.282051 | ||||||||
\(665\) | 0.907241 | + | 3.38587i | 0.0351813 | + | 0.131298i | ||||
\(666\) | −48.8284 | − | 4.78766i | −1.89206 | − | 0.185518i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 31.1370 | − | 31.1370i | 1.20473 | − | 1.20473i | ||||
\(669\) | 39.9292 | + | 1.95286i | 1.54375 | + | 0.0755019i | ||||
\(670\) | −48.5167 | − | 13.0000i | −1.87436 | − | 0.502234i | ||||
\(671\) | 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 | \(-0.412128\pi\) |
−0.696954 | + | 0.717116i | \(0.745462\pi\) | |||||||
\(674\) | 26.6778 | − | 7.14830i | 1.02759 | − | 0.275342i | ||||
\(675\) | 3.05379 | − | 2.26795i | 0.117541 | − | 0.0872934i | ||||
\(676\) | 6.23205 | − | 48.1147i | 0.239694 | − | 1.85057i | ||||
\(677\) | − | 38.8159i | − | 1.49182i | −0.666048 | − | 0.745909i | \(-0.732015\pi\) | ||
0.666048 | − | 0.745909i | \(-0.267985\pi\) | |||||||
\(678\) | −24.5815 | − | 47.8304i | −0.944046 | − | 1.83692i | ||||
\(679\) | −9.19615 | + | 15.9282i | −0.352916 | + | 0.611268i | ||||
\(680\) | 10.6557 | + | 18.4562i | 0.408628 | + | 0.707764i | ||||
\(681\) | 22.7821 | + | 14.6820i | 0.873011 | + | 0.562617i | ||||
\(682\) | 6.85641 | − | 25.5885i | 0.262545 | − | 0.979833i | ||||
\(683\) | 4.26054 | − | 15.9006i | 0.163025 | − | 0.608418i | −0.835259 | − | 0.549857i | \(-0.814682\pi\) |
0.998284 | − | 0.0585607i | \(-0.0186511\pi\) | |||||||
\(684\) | 4.07823 | − | 10.8500i | 0.155935 | − | 0.414859i | ||||
\(685\) | −7.06218 | − | 12.2321i | −0.269832 | − | 0.467363i | ||||
\(686\) | 20.3152 | − | 35.1870i | 0.775638 | − | 1.34344i | ||||
\(687\) | 22.0571 | − | 11.3358i | 0.841530 | − | 0.432488i | ||||
\(688\) | − | 20.1962i | − | 0.769971i | ||||||
\(689\) | −14.9488 | + | 7.39139i | −0.569505 | + | 0.281590i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.8827 | + | 11.2224i | −1.59329 | + | 0.426921i | −0.943008 | − | 0.332770i | \(-0.892017\pi\) |
−0.650284 | + | 0.759691i | \(0.725350\pi\) | |||||||
\(692\) | 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 | ||||
\(695\) | −5.53242 | − | 1.48241i | −0.209857 | − | 0.0562309i | ||||
\(696\) | 1.94112 | − | 39.6892i | 0.0735781 | − | 1.50442i | ||||
\(697\) | 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 | ||||
\(700\) | −1.00000 | − | 3.73205i | −0.0377964 | − | 0.141058i | ||||
\(701\) | −20.3152 | −0.767295 | −0.383647 | − | 0.923480i | \(-0.625332\pi\) | ||||
−0.383647 | + | 0.923480i | \(0.625332\pi\) | |||||||
\(702\) | −43.8599 | − | 9.39478i | −1.65538 | − | 0.354583i | ||||
\(703\) | 7.07180 | 0.266718 | ||||||||
\(704\) | −4.83571 | − | 18.0471i | −0.182253 | − | 0.680176i | ||||
\(705\) | −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 | ||||
\(708\) | 1.51201 | − | 30.9154i | 0.0568249 | − | 1.16187i | ||||
\(709\) | −9.96410 | − | 2.66987i | −0.374210 | − | 0.100269i | 0.0668121 | − | 0.997766i | \(-0.478717\pi\) |
−0.441022 | + | 0.897496i | \(0.645384\pi\) | |||||||
\(710\) | −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 | ||||
\(715\) | 15.0981 | + | 0.973721i | 0.564636 | + | 0.0364151i | ||||
\(716\) | 69.9529i | 2.61426i | ||||||||
\(717\) | 15.4765 | − | 7.95383i | 0.577979 | − | 0.297041i | ||||
\(718\) | 20.4186 | − | 35.3660i | 0.762015 | − | 1.31985i | ||||
\(719\) | 5.86450 | + | 10.1576i | 0.218709 | + | 0.378815i | 0.954413 | − | 0.298488i | \(-0.0964822\pi\) |
−0.735705 | + | 0.677302i | \(0.763149\pi\) | |||||||
\(720\) | −6.22704 | + | 16.5668i | −0.232068 | + | 0.617408i | ||||
\(721\) | 2.53590 | − | 9.46410i | 0.0944418 | − | 0.352462i | ||||
\(722\) | 11.1093 | − | 41.4606i | 0.413447 | − | 1.54300i | ||||
\(723\) | 10.9006 | + | 7.02496i | 0.405398 | + | 0.261261i | ||||
\(724\) | 5.59808 | + | 9.69615i | 0.208051 | + | 0.360355i | ||||
\(725\) | −2.02501 | + | 3.50742i | −0.0752069 | + | 0.130262i | ||||
\(726\) | 15.0279 | + | 29.2412i | 0.557740 | + | 1.08524i | ||||
\(727\) | − | 25.5167i | − | 0.946361i | −0.880966 | − | 0.473180i | \(-0.843106\pi\) | ||
0.880966 | − | 0.473180i | \(-0.156894\pi\) | |||||||
\(728\) | −11.7290 | + | 17.5935i | −0.434705 | + | 0.652058i | ||||
\(729\) | −7.80385 | + | 25.8476i | −0.289031 | + | 0.957320i | ||||
\(730\) | −47.7487 | + | 12.7942i | −1.76726 | + | 0.473536i | ||||
\(731\) | −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 | \(-0.644958\pi\) | |||||||
\(734\) | 22.2187 | + | 5.95347i | 0.820106 | + | 0.219747i | ||||
\(735\) | 20.7094 | + | 1.01286i | 0.763877 | + | 0.0373597i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −13.3004 | + | 7.67898i | −0.489926 | + | 0.282859i | ||||
\(738\) | 4.58570 | + | 0.449632i | 0.168802 | + | 0.0165512i | ||||
\(739\) | 13.1244 | + | 48.9808i | 0.482787 | + | 1.80179i | 0.589825 | + | 0.807531i | \(0.299197\pi\) |
−0.107037 | + | 0.994255i | \(0.534136\pi\) | |||||||
\(740\) | −61.0346 | −2.24368 | ||||||||
\(741\) | 6.42386 | + | 0.730778i | 0.235987 | + | 0.0268458i | ||||
\(742\) | 15.6603 | 0.574906 | ||||||||
\(743\) | 13.5435 | + | 50.5449i | 0.496862 | + | 1.85431i | 0.519343 | + | 0.854566i | \(0.326177\pi\) |
−0.0224808 | + | 0.999747i | \(0.507156\pi\) | |||||||
\(744\) | −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 | ||||
\(747\) | 5.18736 | − | 0.858763i | 0.189796 | − | 0.0314205i | ||||
\(748\) | 13.5622 | + | 3.63397i | 0.495882 | + | 0.132871i | ||||
\(749\) | 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 | \(-0.0347622\pi\) |
0.402632 | + | 0.915362i | \(0.368096\pi\) | |||||||
\(752\) | 22.7938 | − | 6.10759i | 0.831206 | − | 0.222721i | ||||
\(753\) | 8.01105 | + | 37.0526i | 0.291939 | + | 1.35027i | ||||
\(754\) | 46.8301 | − | 9.36603i | 1.70545 | − | 0.341091i | ||||
\(755\) | 25.2725i | 0.919759i | ||||||||
\(756\) | 21.4927 | + | 17.0349i | 0.781681 | + | 0.619553i | ||||
\(757\) | 12.3923 | − | 21.4641i | 0.450406 | − | 0.780126i | −0.548005 | − | 0.836475i | \(-0.684613\pi\) |
0.998411 | + | 0.0563489i | \(0.0179459\pi\) | |||||||
\(758\) | 5.98604 | + | 10.3681i | 0.217423 | + | 0.376587i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.66025 | − | 9.92820i | 0.0964976 | − | 0.360134i | ||||
\(761\) | 1.11777 | − | 4.17156i | 0.0405190 | − | 0.151219i | −0.942703 | − | 0.333634i | \(-0.891725\pi\) |
0.983222 | + | 0.182415i | \(0.0583916\pi\) | |||||||
\(762\) | 33.9749 | − | 52.7187i | 1.23078 | − | 1.90980i | ||||
\(763\) | 2.80385 | + | 4.85641i | 0.101506 | + | 0.175814i | ||||
\(764\) | −36.2158 | + | 62.7275i | −1.31024 | + | 2.26940i | ||||
\(765\) | 9.78605 | + | 11.9137i | 0.353816 | + | 0.430742i | ||||
\(766\) | − | 33.5692i | − | 1.21291i | ||||||
\(767\) | 16.9293 | − | 3.38587i | 0.611283 | − | 0.122257i | ||||
\(768\) | 10.3660 | + | 47.9447i | 0.374052 | + | 1.73006i | ||||
\(769\) | −2.16987 | + | 0.581416i | −0.0782476 | + | 0.0209664i | −0.297730 | − | 0.954650i | \(-0.596230\pi\) |
0.219483 | + | 0.975616i | \(0.429563\pi\) | |||||||
\(770\) | −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 | ||||
\(773\) | −5.98604 | − | 1.60396i | −0.215303 | − | 0.0576903i | 0.149555 | − | 0.988753i | \(-0.452216\pi\) |
−0.364858 | + | 0.931063i | \(0.618883\pi\) | |||||||
\(774\) | −9.61484 | − | 58.0785i | −0.345598 | − | 2.08759i | ||||
\(775\) | 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 | ||||
\(778\) | −3.27757 | − | 12.2321i | −0.117507 | − | 0.438540i | ||||
\(779\) | −0.664146 | −0.0237955 | ||||||||
\(780\) | −55.4425 | − | 6.30713i | −1.98516 | − | 0.225832i | ||||
\(781\) | −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 | ||||
\(786\) | −3.75768 | − | 0.183781i | −0.134032 | − | 0.00655524i | ||||
\(787\) | −11.2942 | − | 3.02628i | −0.402596 | − | 0.107875i | 0.0518385 | − | 0.998655i | \(-0.483492\pi\) |
−0.454434 | + | 0.890780i | \(0.650159\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | −17.7150 | + | 4.74673i | −0.629874 | + | 0.168774i | ||||
\(792\) | 9.00727 | + | 19.8564i | 0.320059 | + | 0.705567i | ||||
\(793\) | 14.0000 | − | 21.0000i | 0.497155 | − | 0.745732i | ||||
\(794\) | − | 21.2224i | − | 0.753157i | ||||||
\(795\) | 8.76706 | + | 17.0588i | 0.310935 | + | 0.605015i | ||||
\(796\) | −1.73205 | + | 3.00000i | −0.0613909 | + | 0.106332i | ||||
\(797\) | −8.58622 | − | 14.8718i | −0.304139 | − | 0.526785i | 0.672930 | − | 0.739706i | \(-0.265036\pi\) |
−0.977069 | + | 0.212921i | \(0.931702\pi\) | |||||||
\(798\) | −5.10339 | − | 3.28891i | −0.180658 | − | 0.116426i | ||||
\(799\) | 5.32051 | − | 19.8564i | 0.188226 | − | 0.702469i | ||||
\(800\) | 0.453620 | − | 1.69293i | 0.0160379 | − | 0.0598543i | ||||
\(801\) | 28.2118 | + | 10.6041i | 0.996815 | + | 0.374678i | ||||
\(802\) | 33.6244 | + | 58.2391i | 1.18732 | + | 2.05649i | ||||
\(803\) | −7.55743 | + | 13.0899i | −0.266696 | + | 0.461931i | ||||
\(804\) | 50.3791 | − | 25.8913i | 1.77673 | − | 0.913117i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −54.3844 | − | 3.50742i | −1.91561 | − | 0.123543i | ||||
\(807\) | −18.7321 | + | 4.05001i | −0.659399 | + | 0.142567i | ||||
\(808\) | −79.0692 | + | 21.1865i | −2.78165 | + | 0.745340i | ||||
\(809\) | −17.6705 | − | 10.2021i | −0.621263 | − | 0.358686i | 0.156097 | − | 0.987742i | \(-0.450109\pi\) |
−0.777361 | + | 0.629055i | \(0.783442\pi\) | |||||||
\(810\) | −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 | \(0.593616\pi\) | |||||||
\(812\) | −28.2047 | − | 7.55743i | −0.989791 | − | 0.265214i | ||||
\(813\) | −0.175190 | + | 3.58202i | −0.00614417 | + | 0.125627i | ||||
\(814\) | −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 | ||||
\(817\) | 2.19615 | + | 8.19615i | 0.0768336 | + | 0.286747i | ||||
\(818\) | −27.8401 | −0.973405 | ||||||||
\(819\) | −6.29254 | + | 13.9429i | −0.219879 | + | 0.487204i | ||||
\(820\) | 5.73205 | 0.200172 | ||||||||
\(821\) | 1.60396 | + | 5.98604i | 0.0559784 | + | 0.208914i | 0.988250 | − | 0.152844i | \(-0.0488432\pi\) |
−0.932272 | + | 0.361758i | \(0.882177\pi\) | |||||||
\(822\) | 23.2930 | + | 7.47856i | 0.812436 | + | 0.260845i | ||||
\(823\) | 13.3923 | − | 7.73205i | 0.466826 | − | 0.269522i | −0.248084 | − | 0.968739i | \(-0.579801\pi\) |
0.714910 | + | 0.699216i | \(0.246468\pi\) | |||||||
\(824\) | −20.3152 | + | 20.3152i | −0.707714 | + | 0.707714i | ||||
\(825\) | 0.108558 | − | 2.21962i | 0.00377949 | − | 0.0772774i | ||||
\(826\) | −15.6603 | − | 4.19615i | −0.544890 | − | 0.146003i | ||||
\(827\) | 3.62896 | + | 3.62896i | 0.126191 | + | 0.126191i | 0.767382 | − | 0.641190i | \(-0.221559\pi\) |
−0.641190 | + | 0.767382i | \(0.721559\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −20.6769 | − | 11.9378i | −0.718139 | − | 0.414618i | 0.0959284 | − | 0.995388i | \(-0.469418\pi\) |
−0.814067 | + | 0.580771i | \(0.802751\pi\) | |||||||
\(830\) | 9.70398 | − | 2.60017i | 0.336830 | − | 0.0902534i | ||||
\(831\) | 6.07502 | − | 1.31347i | 0.210740 | − | 0.0455636i | ||||
\(832\) | −34.4545 | + | 17.0359i | −1.19449 | + | 0.590614i | ||||
\(833\) | 10.7328i | 0.371868i | ||||||||
\(834\) | 8.82343 | − | 4.53463i | 0.305530 | − | 0.157021i | ||||
\(835\) | 14.1244 | − | 24.4641i | 0.488793 | − | 0.846615i | ||||
\(836\) | −3.38587 | − | 5.86450i | −0.117103 | − | 0.202828i | ||||
\(837\) | −4.79215 | + | 32.4524i | −0.165641 | + | 1.12172i | ||||
\(838\) | 5.16987 | − | 19.2942i | 0.178590 | − | 0.666508i | ||||
\(839\) | −2.02501 | + | 7.55743i | −0.0699110 | + | 0.260911i | −0.992031 | − | 0.125992i | \(-0.959789\pi\) |
0.922120 | + | 0.386903i | \(0.126455\pi\) | |||||||
\(840\) | 20.4418 | + | 13.1738i | 0.705308 | + | 0.454540i | ||||
\(841\) | 0.803848 | + | 1.39230i | 0.0277189 | + | 0.0480105i | ||||
\(842\) | 1.40535 | − | 2.43414i | 0.0484316 | − | 0.0838859i | ||||
\(843\) | −17.8032 | − | 34.6412i | −0.613173 | − | 1.19311i | ||||
\(844\) | 45.5167i | 1.56675i | ||||||||
\(845\) | −4.12707 | − | 30.8494i | −0.141976 | − | 1.06125i | ||||
\(846\) | 62.6410 | − | 28.4152i | 2.15364 | − | 0.976936i | ||||
\(847\) | 10.8301 | − | 2.90192i | 0.372128 | − | 0.0997113i | ||||
\(848\) | −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 | ||||||||
\(852\) | 30.9154 | + | 1.51201i | 1.05914 | + | 0.0518007i | ||||
\(853\) | −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 | ||||
\(856\) | −17.9090 | − | 66.8372i | −0.612116 | − | 2.28445i | ||||
\(857\) | 35.7621 | 1.22161 | 0.610806 | − | 0.791781i | \(-0.290846\pi\) | ||||
0.610806 | + | 0.791781i | \(0.290846\pi\) | |||||||
\(858\) | −20.5054 | + | 16.3165i | −0.700042 | + | 0.557037i | ||||
\(859\) | −23.1769 | −0.790786 | −0.395393 | − | 0.918512i | \(-0.629392\pi\) | ||||
−0.395393 | + | 0.918512i | \(0.629392\pi\) | |||||||
\(860\) | −18.9543 | − | 70.7386i | −0.646338 | − | 2.41217i | ||||
\(861\) | 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 | −0.881935 | − | 0.471371i | \(-0.843759\pi\) |
0.471371 | + | 0.881935i | \(0.343759\pi\) | |||||||
\(864\) | 4.57965 | + | 11.5669i | 0.155803 | + | 0.393513i | ||||
\(865\) | 17.1962 | + | 4.60770i | 0.584687 | + | 0.156666i | ||||
\(866\) | 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 | ||||
\(869\) | 3.38587 | − | 0.907241i | 0.114858 | − | 0.0307760i | ||||
\(870\) | −11.6074 | − | 53.6865i | −0.393529 | − | 1.82014i | ||||
\(871\) | 20.8564 | + | 23.7321i | 0.706692 | + | 0.804130i | ||||
\(872\) | − | 16.4432i | − | 0.556835i | ||||||
\(873\) | 30.1489 | − | 24.7646i | 1.02039 | − | 0.838156i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 7.22536 | + | 12.5147i | 0.244262 | + | 0.423074i | ||||
\(876\) | 30.1982 | − | 46.8585i | 1.02030 | − | 1.58320i | ||||
\(877\) | 3.00962 | − | 11.2321i | 0.101628 | − | 0.379279i | −0.896313 | − | 0.443422i | \(-0.853764\pi\) |
0.997941 | + | 0.0641422i | \(0.0204311\pi\) | |||||||
\(878\) | −2.93225 | + | 10.9433i | −0.0989586 | + | 0.369318i | ||||
\(879\) | 20.6579 | − | 32.0549i | 0.696775 | − | 1.08118i | ||||
\(880\) | 5.16987 | + | 8.95448i | 0.174276 | + | 0.301856i | ||||
\(881\) | 13.5880 | − | 23.5350i | 0.457790 | − | 0.792916i | −0.541054 | − | 0.840988i | \(-0.681974\pi\) |
0.998844 | + | 0.0480724i | \(0.0153078\pi\) | |||||||
\(882\) | −27.7508 | + | 22.7948i | −0.934419 | + | 0.767541i | ||||
\(883\) | 39.3731i | 1.32501i | 0.749058 | + | 0.662505i | \(0.230506\pi\) | ||||
−0.749058 | + | 0.662505i | \(0.769494\pi\) | |||||||
\(884\) | 1.85897 | − | 28.8244i | 0.0625239 | − | 0.969468i | ||||
\(885\) | −4.19615 | − | 19.4080i | −0.141052 | − | 0.652392i | ||||
\(886\) | 68.3731 | − | 18.3205i | 2.29704 | − | 0.615490i | ||||
\(887\) | 46.4949 | + | 26.8438i | 1.56115 | + | 0.901328i | 0.997142 | + | 0.0755567i | \(0.0240734\pi\) |
0.564005 | + | 0.825772i | \(0.309260\pi\) | |||||||
\(888\) | 36.3457 | − | 32.9563i | 1.21968 | − | 1.10594i | ||||
\(889\) | −15.1244 | − | 15.1244i | −0.507255 | − | 0.507255i | ||||
\(890\) | 55.6237 | + | 14.9043i | 1.86451 | + | 0.499594i | ||||
\(891\) | 8.77495 | + | 13.1079i | 0.293972 | + | 0.439130i | ||||
\(892\) | −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 | ||||
\(895\) | 11.6147 | + | 43.3468i | 0.388238 | + | 1.44892i | ||||
\(896\) | 29.3225 | 0.979595 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −20.9808 | −0.700137 | ||||||||
\(899\) | −9.03984 | − | 33.7371i | −0.301495 | − | 1.12520i | ||||
\(900\) | −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 | ||||
\(903\) | −20.0524 | − | 0.980726i | −0.667303 | − | 0.0326365i | ||||
\(904\) | 51.9449 | + | 13.9186i | 1.72766 | + | 0.462925i | ||||
\(905\) | 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 | \(-0.426177\pi\) |
−0.727915 | + | 0.685668i | \(0.759510\pi\) | |||||||
\(908\) | −56.4094 | + | 15.1149i | −1.87201 | + | 0.501604i | ||||
\(909\) | −53.9308 | + | 24.4641i | −1.78877 | + | 0.811423i | ||||
\(910\) | −9.36603 | + | 27.6865i | −0.310481 | + | 0.917800i | ||||
\(911\) | 9.25036i | 0.306478i | 0.988189 | + | 0.153239i | \(0.0489705\pi\) | ||||
−0.988189 | + | 0.153239i | \(0.951030\pi\) | |||||||
\(912\) | 2.01969 | + | 3.92989i | 0.0668786 | + | 0.130132i | ||||
\(913\) | 1.53590 | − | 2.66025i | 0.0508308 | − | 0.0880416i | ||||
\(914\) | 33.4495 | + | 57.9363i | 1.10641 | + | 1.91636i | ||||
\(915\) | −24.3998 | − | 15.7246i | −0.806632 | − | 0.519839i | ||||
\(916\) | −13.8301 | + | 51.6147i | −0.456960 | + | 1.70540i | ||||
\(917\) | −0.332073 | + | 1.23931i | −0.0109660 | + | 0.0409257i | ||||
\(918\) | −26.4177 | − | 3.90102i | −0.871913 | − | 0.128753i | ||||
\(919\) | −22.2942 | − | 38.6147i | −0.735419 | − | 1.27378i | −0.954539 | − | 0.298085i | \(-0.903652\pi\) |
0.219121 | − | 0.975698i | \(-0.429681\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −26.9981 | + | 13.8751i | −0.889617 | + | 0.457201i | ||||
\(922\) | − | 58.0333i | − | 1.91123i | ||||||
\(923\) | 3.38587 | + | 16.9293i | 0.111447 | + | 0.557236i | ||||
\(924\) | 15.6603 | − | 3.38587i | 0.515185 | − | 0.111387i | ||||
\(925\) | −4.83013 | + | 1.29423i | −0.158814 | + | 0.0425540i | ||||
\(926\) | 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 | ||||
\(929\) | −47.3251 | − | 12.6807i | −1.55269 | − | 0.416041i | −0.622347 | − | 0.782742i | \(-0.713821\pi\) |
−0.930339 | + | 0.366701i | \(0.880487\pi\) | |||||||
\(930\) | −3.06183 | + | 62.6038i | −0.100401 | + | 2.05286i | ||||
\(931\) | 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 | ||||
\(934\) | −18.8827 | − | 70.4711i | −0.617860 | − | 2.30589i | ||||
\(935\) | 9.00727 | 0.294569 | ||||||||
\(936\) | 36.4213 | − | 26.1809i | 1.19047 | − | 0.855750i | ||||
\(937\) | −37.0000 | −1.20874 | −0.604369 | − | 0.796705i | \(-0.706575\pi\) | ||||
−0.604369 | + | 0.796705i | \(0.706575\pi\) | |||||||
\(938\) | −7.67898 | − | 28.6583i | −0.250727 | − | 0.935728i | ||||
\(939\) | 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 | \(0.593458\pi\) |
−0.957206 | + | 0.289407i | \(0.906542\pi\) | |||||||
\(942\) | −3.07830 | + | 62.9405i | −0.100296 | + | 2.05071i | ||||
\(943\) | 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 | ||||
\(947\) | 39.6016 | − | 10.6112i | 1.28688 | − | 0.344818i | 0.450405 | − | 0.892824i | \(-0.351279\pi\) |
0.836475 | + | 0.548006i | \(0.184613\pi\) | |||||||
\(948\) | −12.6362 | + | 2.73205i | −0.410406 | + | 0.0887329i | ||||
\(949\) | 29.4545 | + | 9.96410i | 0.956133 | + | 0.323448i | ||||
\(950\) | − | 1.81448i | − | 0.0588695i | ||||||
\(951\) | −24.5647 | + | 12.6245i | −0.796565 | + | 0.409379i | ||||
\(952\) | −6.29423 | + | 10.9019i | −0.203997 | + | 0.353333i | ||||
\(953\) | −21.8866 | − | 37.9087i | −0.708976 | − | 1.22798i | −0.965237 | − | 0.261375i | \(-0.915824\pi\) |
0.256261 | − | 0.966608i | \(-0.417509\pi\) | |||||||
\(954\) | −31.0963 | − | 11.6883i | −1.00678 | − | 0.378423i | ||||
\(955\) | −12.0263 | + | 44.8827i | −0.389161 | + | 1.45237i | ||||
\(956\) | −9.70398 | + | 36.2158i | −0.313849 | + | 1.17130i | ||||
\(957\) | −14.1171 | − | 9.09782i | −0.456340 | − | 0.294091i | ||||
\(958\) | 10.4904 | + | 18.1699i | 0.338929 | + | 0.587042i | ||||
\(959\) | 4.17156 | − | 7.22536i | 0.134707 | − | 0.233319i | ||||
\(960\) | 20.2066 | + | 39.3177i | 0.652164 | + | 1.26897i | ||||
\(961\) | 8.85641i | 0.285691i | ||||||||
\(962\) | 49.0625 | + | 32.7083i | 1.58184 | + | 1.05456i | ||||
\(963\) | −20.6795 | − | 45.5877i | −0.666387 | − | 1.46904i | ||||
\(964\) | −26.9904 | + | 7.23205i | −0.869302 | + | 0.232929i | ||||
\(965\) | −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 | \(0.751039\pi\) | |||||||
\(968\) | −31.7566 | − | 8.50916i | −1.02070 | − | 0.273495i | ||||
\(969\) | 3.84450 | + | 0.188027i | 0.123503 | + | 0.00604030i | ||||
\(970\) | 52.7128 | − | 52.7128i | 1.69251 | − | 1.69251i | ||||
\(971\) | 45.5551 | − | 26.3013i | 1.46193 | − | 0.844047i | 0.462832 | − | 0.886446i | \(-0.346833\pi\) |
0.999101 | + | 0.0423987i | \(0.0135000\pi\) | |||||||
\(972\) | −29.9633 | − | 49.8673i | −0.961075 | − | 1.59950i | ||||
\(973\) | −0.875644 | − | 3.26795i | −0.0280719 | − | 0.104766i | ||||
\(974\) | 60.7025 | 1.94503 | ||||||||
\(975\) | −4.52132 | + | 0.676518i | −0.144798 | + | 0.0216659i | ||||
\(976\) | 17.2487 | 0.552118 | ||||||||
\(977\) | 7.60192 | + | 28.3707i | 0.243207 | + | 0.907661i | 0.974276 | + | 0.225357i | \(0.0723550\pi\) |
−0.731069 | + | 0.682303i | \(0.760978\pi\) | |||||||
\(978\) | −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 | ||||
\(981\) | −1.94288 | − | 11.7360i | −0.0620314 | − | 0.374701i | ||||
\(982\) | −57.8827 | − | 15.5096i | −1.84711 | − | 0.494932i | ||||
\(983\) | −4.38209 | − | 4.38209i | −0.139767 | − | 0.139767i | 0.633762 | − | 0.773528i | \(-0.281510\pi\) |
−0.773528 | + | 0.633762i | \(0.781510\pi\) | |||||||
\(984\) | −3.41340 | + | 3.09508i | −0.108815 | + | 0.0986677i | ||||
\(985\) | −3.63397 | − | 2.09808i | −0.115788 | − | 0.0668503i | ||||
\(986\) | 27.4635 | − | 7.35882i | 0.874616 | − | 0.234353i | ||||
\(987\) | −4.95725 | − | 22.9282i | −0.157791 | − | 0.729813i | ||||
\(988\) | −10.4641 | + | 9.19615i | −0.332907 | + | 0.292569i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 19.1301 | + | 23.2893i | 0.607994 | + | 0.740184i | ||||
\(991\) | −12.7846 | + | 22.1436i | −0.406117 | + | 0.703414i | −0.994451 | − | 0.105203i | \(-0.966451\pi\) |
0.588334 | + | 0.808618i | \(0.299784\pi\) | |||||||
\(992\) | 7.55743 | + | 13.0899i | 0.239949 | + | 0.415603i | ||||
\(993\) | 18.3164 | − | 28.4216i | 0.581255 | − | 0.901931i | ||||
\(994\) | 4.19615 | − | 15.6603i | 0.133094 | − | 0.496713i | ||||
\(995\) | −0.575167 | + | 2.14655i | −0.0182340 | + | 0.0680503i | ||||
\(996\) | −6.13719 | + | 9.52306i | −0.194464 | + | 0.301750i | ||||
\(997\) | 3.50000 | + | 6.06218i | 0.110846 | + | 0.191991i | 0.916112 | − | 0.400923i | \(-0.131311\pi\) |
−0.805266 | + | 0.592914i | \(0.797977\pi\) | |||||||
\(998\) | 7.55743 | − | 13.0899i | 0.239226 | − | 0.414352i | ||||
\(999\) | 22.0470 | − | 27.8165i | 0.697537 | − | 0.880074i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))