Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1014,2,Mod(361,1014)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1014, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1014.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1014 = 2 \cdot 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1014.i (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.09683076496\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1014.361 |
Dual form | 1014.2.i.a.823.2 |
$q$-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 \(\left(\mathbb{Z}/1014\mathbb{Z}\right)^\times\).
\(n\) | \(677\) | \(847\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 3.73205i | 1.66902i | 0.550990 | + | 0.834512i | \(0.314250\pi\) | ||||
−0.550990 | + | 0.834512i | \(0.685750\pi\) | |||||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | −2.36603 | − | 1.36603i | −0.894274 | − | 0.516309i | −0.0189356 | − | 0.999821i | \(-0.506028\pi\) |
−0.875338 | + | 0.483512i | \(0.839361\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.86603 | + | 3.23205i | 0.590089 | + | 1.02206i | ||||
\(11\) | −1.09808 | + | 0.633975i | −0.331082 | + | 0.191151i | −0.656322 | − | 0.754481i | \(-0.727889\pi\) |
0.325239 | + | 0.945632i | \(0.394555\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −2.73205 | −0.730171 | ||||||||
\(15\) | 3.23205 | − | 1.86603i | 0.834512 | − | 0.481806i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.86603 | + | 4.96410i | −0.695113 | + | 1.20397i | 0.275029 | + | 0.961436i | \(0.411312\pi\) |
−0.970143 | + | 0.242536i | \(0.922021\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −4.09808 | − | 2.36603i | −0.940163 | − | 0.542803i | −0.0501517 | − | 0.998742i | \(-0.515970\pi\) |
−0.890011 | + | 0.455938i | \(0.849304\pi\) | |||||||
\(20\) | 3.23205 | + | 1.86603i | 0.722709 | + | 0.417256i | ||||
\(21\) | 2.73205i | 0.596182i | ||||||||
\(22\) | −0.633975 | + | 1.09808i | −0.135164 | + | 0.234111i | ||||
\(23\) | 2.09808 | + | 3.63397i | 0.437479 | + | 0.757736i | 0.997494 | − | 0.0707462i | \(-0.0225381\pi\) |
−0.560015 | + | 0.828482i | \(0.689205\pi\) | |||||||
\(24\) | −0.866025 | + | 0.500000i | −0.176777 | + | 0.102062i | ||||
\(25\) | −8.92820 | −1.78564 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −2.36603 | + | 1.36603i | −0.447137 | + | 0.258155i | ||||
\(29\) | 2.23205 | + | 3.86603i | 0.414481 | + | 0.717903i | 0.995374 | − | 0.0960774i | \(-0.0306296\pi\) |
−0.580892 | + | 0.813980i | \(0.697296\pi\) | |||||||
\(30\) | 1.86603 | − | 3.23205i | 0.340688 | − | 0.590089i | ||||
\(31\) | 1.46410i | 0.262960i | 0.991319 | + | 0.131480i | \(0.0419730\pi\) | ||||
−0.991319 | + | 0.131480i | \(0.958027\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 1.09808 | + | 0.633975i | 0.191151 | + | 0.110361i | ||||
\(34\) | 5.73205i | 0.983039i | ||||||||
\(35\) | 5.09808 | − | 8.83013i | 0.861732 | − | 1.49256i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | −3.06218 | + | 1.76795i | −0.503419 | + | 0.290649i | −0.730124 | − | 0.683314i | \(-0.760538\pi\) |
0.226705 | + | 0.973963i | \(0.427205\pi\) | |||||||
\(38\) | −4.73205 | −0.767640 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.73205 | 0.590089 | ||||||||
\(41\) | −8.13397 | + | 4.69615i | −1.27031 | + | 0.733416i | −0.975047 | − | 0.221999i | \(-0.928742\pi\) |
−0.295267 | + | 0.955415i | \(0.595408\pi\) | |||||||
\(42\) | 1.36603 | + | 2.36603i | 0.210782 | + | 0.365086i | ||||
\(43\) | −4.83013 | + | 8.36603i | −0.736587 | + | 1.27581i | 0.217436 | + | 0.976075i | \(0.430231\pi\) |
−0.954023 | + | 0.299732i | \(0.903103\pi\) | |||||||
\(44\) | 1.26795i | 0.191151i | ||||||||
\(45\) | −3.23205 | − | 1.86603i | −0.481806 | − | 0.278171i | ||||
\(46\) | 3.63397 | + | 2.09808i | 0.535800 | + | 0.309344i | ||||
\(47\) | − | 2.19615i | − | 0.320342i | −0.987089 | − | 0.160171i | \(-0.948795\pi\) | ||
0.987089 | − | 0.160171i | \(-0.0512045\pi\) | |||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | 0.232051 | + | 0.401924i | 0.0331501 | + | 0.0574177i | ||||
\(50\) | −7.73205 | + | 4.46410i | −1.09348 | + | 0.631319i | ||||
\(51\) | 5.73205 | 0.802648 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.46410 | −0.887913 | −0.443956 | − | 0.896048i | \(-0.646425\pi\) | ||||
−0.443956 | + | 0.896048i | \(0.646425\pi\) | |||||||
\(54\) | 0.866025 | − | 0.500000i | 0.117851 | − | 0.0680414i | ||||
\(55\) | −2.36603 | − | 4.09808i | −0.319035 | − | 0.552584i | ||||
\(56\) | −1.36603 | + | 2.36603i | −0.182543 | + | 0.316173i | ||||
\(57\) | 4.73205i | 0.626775i | ||||||||
\(58\) | 3.86603 | + | 2.23205i | 0.507634 | + | 0.293083i | ||||
\(59\) | 6.92820 | + | 4.00000i | 0.901975 | + | 0.520756i | 0.877841 | − | 0.478953i | \(-0.158984\pi\) |
0.0241347 | + | 0.999709i | \(0.492317\pi\) | |||||||
\(60\) | − | 3.73205i | − | 0.481806i | ||||||
\(61\) | 4.59808 | − | 7.96410i | 0.588723 | − | 1.01970i | −0.405677 | − | 0.914017i | \(-0.632964\pi\) |
0.994400 | − | 0.105682i | \(-0.0337026\pi\) | |||||||
\(62\) | 0.732051 | + | 1.26795i | 0.0929705 | + | 0.161030i | ||||
\(63\) | 2.36603 | − | 1.36603i | 0.298091 | − | 0.172103i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.26795 | 0.156074 | ||||||||
\(67\) | 11.3660 | − | 6.56218i | 1.38858 | − | 0.801698i | 0.395426 | − | 0.918498i | \(-0.370597\pi\) |
0.993155 | + | 0.116800i | \(0.0372638\pi\) | |||||||
\(68\) | 2.86603 | + | 4.96410i | 0.347557 | + | 0.601986i | ||||
\(69\) | 2.09808 | − | 3.63397i | 0.252579 | − | 0.437479i | ||||
\(70\) | − | 10.1962i | − | 1.21867i | ||||||
\(71\) | −4.09808 | − | 2.36603i | −0.486352 | − | 0.280796i | 0.236708 | − | 0.971581i | \(-0.423932\pi\) |
−0.723060 | + | 0.690785i | \(0.757265\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | 6.26795i | 0.733608i | 0.930298 | + | 0.366804i | \(0.119548\pi\) | ||||
−0.930298 | + | 0.366804i | \(0.880452\pi\) | |||||||
\(74\) | −1.76795 | + | 3.06218i | −0.205520 | + | 0.355971i | ||||
\(75\) | 4.46410 | + | 7.73205i | 0.515470 | + | 0.892820i | ||||
\(76\) | −4.09808 | + | 2.36603i | −0.470082 | + | 0.271402i | ||||
\(77\) | 3.46410 | 0.394771 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.53590 | −0.285311 | −0.142655 | − | 0.989772i | \(-0.545564\pi\) | ||||
−0.142655 | + | 0.989772i | \(0.545564\pi\) | |||||||
\(80\) | 3.23205 | − | 1.86603i | 0.361354 | − | 0.208628i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −4.69615 | + | 8.13397i | −0.518603 | + | 0.898247i | ||||
\(83\) | − | 0.196152i | − | 0.0215305i | −0.999942 | − | 0.0107653i | \(-0.996573\pi\) | ||
0.999942 | − | 0.0107653i | \(-0.00342676\pi\) | |||||||
\(84\) | 2.36603 | + | 1.36603i | 0.258155 | + | 0.149046i | ||||
\(85\) | −18.5263 | − | 10.6962i | −2.00946 | − | 1.16016i | ||||
\(86\) | 9.66025i | 1.04169i | ||||||||
\(87\) | 2.23205 | − | 3.86603i | 0.239301 | − | 0.414481i | ||||
\(88\) | 0.633975 | + | 1.09808i | 0.0675819 | + | 0.117055i | ||||
\(89\) | 8.19615 | − | 4.73205i | 0.868790 | − | 0.501596i | 0.00184433 | − | 0.999998i | \(-0.499413\pi\) |
0.866946 | + | 0.498402i | \(0.166080\pi\) | |||||||
\(90\) | −3.73205 | −0.393393 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.19615 | 0.437479 | ||||||||
\(93\) | 1.26795 | − | 0.732051i | 0.131480 | − | 0.0759101i | ||||
\(94\) | −1.09808 | − | 1.90192i | −0.113258 | − | 0.196168i | ||||
\(95\) | 8.83013 | − | 15.2942i | 0.905952 | − | 1.56915i | ||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | 5.19615 | + | 3.00000i | 0.527589 | + | 0.304604i | 0.740034 | − | 0.672569i | \(-0.234809\pi\) |
−0.212445 | + | 0.977173i | \(0.568143\pi\) | |||||||
\(98\) | 0.401924 | + | 0.232051i | 0.0406004 | + | 0.0234407i | ||||
\(99\) | − | 1.26795i | − | 0.127434i | ||||||
\(100\) | −4.46410 | + | 7.73205i | −0.446410 | + | 0.773205i | ||||
\(101\) | 0.964102 | + | 1.66987i | 0.0959317 | + | 0.166159i | 0.909997 | − | 0.414615i | \(-0.136084\pi\) |
−0.814065 | + | 0.580773i | \(0.802750\pi\) | |||||||
\(102\) | 4.96410 | − | 2.86603i | 0.491519 | − | 0.283779i | ||||
\(103\) | 15.2679 | 1.50440 | 0.752198 | − | 0.658937i | \(-0.228994\pi\) | ||||
0.752198 | + | 0.658937i | \(0.228994\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −10.1962 | −0.995043 | ||||||||
\(106\) | −5.59808 | + | 3.23205i | −0.543733 | + | 0.313925i | ||||
\(107\) | −5.09808 | − | 8.83013i | −0.492850 | − | 0.853641i | 0.507116 | − | 0.861878i | \(-0.330711\pi\) |
−0.999966 | + | 0.00823695i | \(0.997378\pi\) | |||||||
\(108\) | 0.500000 | − | 0.866025i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | 1.46410i | 0.140236i | 0.997539 | + | 0.0701178i | \(0.0223375\pi\) | ||||
−0.997539 | + | 0.0701178i | \(0.977662\pi\) | |||||||
\(110\) | −4.09808 | − | 2.36603i | −0.390736 | − | 0.225592i | ||||
\(111\) | 3.06218 | + | 1.76795i | 0.290649 | + | 0.167806i | ||||
\(112\) | 2.73205i | 0.258155i | ||||||||
\(113\) | 0.669873 | − | 1.16025i | 0.0630163 | − | 0.109148i | −0.832796 | − | 0.553580i | \(-0.813261\pi\) |
0.895812 | + | 0.444432i | \(0.146595\pi\) | |||||||
\(114\) | 2.36603 | + | 4.09808i | 0.221599 | + | 0.383820i | ||||
\(115\) | −13.5622 | + | 7.83013i | −1.26468 | + | 0.730163i | ||||
\(116\) | 4.46410 | 0.414481 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.00000 | 0.736460 | ||||||||
\(119\) | 13.5622 | − | 7.83013i | 1.24324 | − | 0.717787i | ||||
\(120\) | −1.86603 | − | 3.23205i | −0.170344 | − | 0.295045i | ||||
\(121\) | −4.69615 | + | 8.13397i | −0.426923 | + | 0.739452i | ||||
\(122\) | − | 9.19615i | − | 0.832581i | ||||||
\(123\) | 8.13397 | + | 4.69615i | 0.733416 | + | 0.423438i | ||||
\(124\) | 1.26795 | + | 0.732051i | 0.113865 | + | 0.0657401i | ||||
\(125\) | − | 14.6603i | − | 1.31125i | ||||||
\(126\) | 1.36603 | − | 2.36603i | 0.121695 | − | 0.210782i | ||||
\(127\) | −4.92820 | − | 8.53590i | −0.437307 | − | 0.757438i | 0.560173 | − | 0.828375i | \(-0.310734\pi\) |
−0.997481 | + | 0.0709368i | \(0.977401\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 9.66025 | 0.850538 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.53590 | 0.571044 | 0.285522 | − | 0.958372i | \(-0.407833\pi\) | ||||
0.285522 | + | 0.958372i | \(0.407833\pi\) | |||||||
\(132\) | 1.09808 | − | 0.633975i | 0.0955753 | − | 0.0551804i | ||||
\(133\) | 6.46410 | + | 11.1962i | 0.560509 | + | 0.970830i | ||||
\(134\) | 6.56218 | − | 11.3660i | 0.566886 | − | 0.981875i | ||||
\(135\) | 3.73205i | 0.321204i | ||||||||
\(136\) | 4.96410 | + | 2.86603i | 0.425668 | + | 0.245760i | ||||
\(137\) | 10.3301 | + | 5.96410i | 0.882562 | + | 0.509548i | 0.871502 | − | 0.490391i | \(-0.163146\pi\) |
0.0110599 | + | 0.999939i | \(0.496479\pi\) | |||||||
\(138\) | − | 4.19615i | − | 0.357200i | ||||||
\(139\) | −8.92820 | + | 15.4641i | −0.757280 | + | 1.31165i | 0.186952 | + | 0.982369i | \(0.440139\pi\) |
−0.944233 | + | 0.329279i | \(0.893194\pi\) | |||||||
\(140\) | −5.09808 | − | 8.83013i | −0.430866 | − | 0.746282i | ||||
\(141\) | −1.90192 | + | 1.09808i | −0.160171 | + | 0.0924747i | ||||
\(142\) | −4.73205 | −0.397105 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −14.4282 | + | 8.33013i | −1.19820 | + | 0.691779i | ||||
\(146\) | 3.13397 | + | 5.42820i | 0.259370 | + | 0.449241i | ||||
\(147\) | 0.232051 | − | 0.401924i | 0.0191392 | − | 0.0331501i | ||||
\(148\) | 3.53590i | 0.290649i | ||||||||
\(149\) | −11.4282 | − | 6.59808i | −0.936235 | − | 0.540535i | −0.0474568 | − | 0.998873i | \(-0.515112\pi\) |
−0.888778 | + | 0.458338i | \(0.848445\pi\) | |||||||
\(150\) | 7.73205 | + | 4.46410i | 0.631319 | + | 0.364492i | ||||
\(151\) | − | 6.73205i | − | 0.547847i | −0.961752 | − | 0.273923i | \(-0.911679\pi\) | ||
0.961752 | − | 0.273923i | \(-0.0883214\pi\) | |||||||
\(152\) | −2.36603 | + | 4.09808i | −0.191910 | + | 0.332398i | ||||
\(153\) | −2.86603 | − | 4.96410i | −0.231704 | − | 0.401324i | ||||
\(154\) | 3.00000 | − | 1.73205i | 0.241747 | − | 0.139573i | ||||
\(155\) | −5.46410 | −0.438887 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.58846 | 0.605625 | 0.302812 | − | 0.953050i | \(-0.402074\pi\) | ||||
0.302812 | + | 0.953050i | \(0.402074\pi\) | |||||||
\(158\) | −2.19615 | + | 1.26795i | −0.174717 | + | 0.100873i | ||||
\(159\) | 3.23205 | + | 5.59808i | 0.256318 | + | 0.443956i | ||||
\(160\) | 1.86603 | − | 3.23205i | 0.147522 | − | 0.255516i | ||||
\(161\) | − | 11.4641i | − | 0.903498i | ||||||
\(162\) | −0.866025 | − | 0.500000i | −0.0680414 | − | 0.0392837i | ||||
\(163\) | −11.6603 | − | 6.73205i | −0.913302 | − | 0.527295i | −0.0318096 | − | 0.999494i | \(-0.510127\pi\) |
−0.881492 | + | 0.472199i | \(0.843460\pi\) | |||||||
\(164\) | 9.39230i | 0.733416i | ||||||||
\(165\) | −2.36603 | + | 4.09808i | −0.184195 | + | 0.319035i | ||||
\(166\) | −0.0980762 | − | 0.169873i | −0.00761219 | − | 0.0131847i | ||||
\(167\) | 8.19615 | − | 4.73205i | 0.634237 | − | 0.366177i | −0.148154 | − | 0.988964i | \(-0.547333\pi\) |
0.782391 | + | 0.622787i | \(0.214000\pi\) | |||||||
\(168\) | 2.73205 | 0.210782 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −21.3923 | −1.64071 | ||||||||
\(171\) | 4.09808 | − | 2.36603i | 0.313388 | − | 0.180934i | ||||
\(172\) | 4.83013 | + | 8.36603i | 0.368294 | + | 0.637903i | ||||
\(173\) | 2.19615 | − | 3.80385i | 0.166970 | − | 0.289201i | −0.770383 | − | 0.637582i | \(-0.779935\pi\) |
0.937353 | + | 0.348380i | \(0.113268\pi\) | |||||||
\(174\) | − | 4.46410i | − | 0.338423i | ||||||
\(175\) | 21.1244 | + | 12.1962i | 1.59685 | + | 0.921942i | ||||
\(176\) | 1.09808 | + | 0.633975i | 0.0827706 | + | 0.0477876i | ||||
\(177\) | − | 8.00000i | − | 0.601317i | ||||||
\(178\) | 4.73205 | − | 8.19615i | 0.354682 | − | 0.614328i | ||||
\(179\) | −8.02628 | − | 13.9019i | −0.599912 | − | 1.03908i | −0.992833 | − | 0.119506i | \(-0.961869\pi\) |
0.392921 | − | 0.919572i | \(-0.371465\pi\) | |||||||
\(180\) | −3.23205 | + | 1.86603i | −0.240903 | + | 0.139085i | ||||
\(181\) | −19.1962 | −1.42684 | −0.713419 | − | 0.700737i | \(-0.752855\pi\) | ||||
−0.713419 | + | 0.700737i | \(0.752855\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.19615 | −0.679799 | ||||||||
\(184\) | 3.63397 | − | 2.09808i | 0.267900 | − | 0.154672i | ||||
\(185\) | −6.59808 | − | 11.4282i | −0.485100 | − | 0.840218i | ||||
\(186\) | 0.732051 | − | 1.26795i | 0.0536766 | − | 0.0929705i | ||||
\(187\) | − | 7.26795i | − | 0.531485i | ||||||
\(188\) | −1.90192 | − | 1.09808i | −0.138712 | − | 0.0800854i | ||||
\(189\) | −2.36603 | − | 1.36603i | −0.172103 | − | 0.0993637i | ||||
\(190\) | − | 17.6603i | − | 1.28121i | ||||||
\(191\) | 3.46410 | − | 6.00000i | 0.250654 | − | 0.434145i | −0.713052 | − | 0.701111i | \(-0.752688\pi\) |
0.963706 | + | 0.266966i | \(0.0860212\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 10.1603 | − | 5.86603i | 0.731351 | − | 0.422246i | −0.0875652 | − | 0.996159i | \(-0.527909\pi\) |
0.818916 | + | 0.573913i | \(0.194575\pi\) | |||||||
\(194\) | 6.00000 | 0.430775 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.464102 | 0.0331501 | ||||||||
\(197\) | −15.4641 | + | 8.92820i | −1.10177 | + | 0.636108i | −0.936686 | − | 0.350171i | \(-0.886123\pi\) |
−0.165086 | + | 0.986279i | \(0.552790\pi\) | |||||||
\(198\) | −0.633975 | − | 1.09808i | −0.0450546 | − | 0.0780369i | ||||
\(199\) | −7.09808 | + | 12.2942i | −0.503169 | + | 0.871515i | 0.496824 | + | 0.867851i | \(0.334499\pi\) |
−0.999993 | + | 0.00366345i | \(0.998834\pi\) | |||||||
\(200\) | 8.92820i | 0.631319i | ||||||||
\(201\) | −11.3660 | − | 6.56218i | −0.801698 | − | 0.462860i | ||||
\(202\) | 1.66987 | + | 0.964102i | 0.117492 | + | 0.0678340i | ||||
\(203\) | − | 12.1962i | − | 0.856002i | ||||||
\(204\) | 2.86603 | − | 4.96410i | 0.200662 | − | 0.347557i | ||||
\(205\) | −17.5263 | − | 30.3564i | −1.22409 | − | 2.12018i | ||||
\(206\) | 13.2224 | − | 7.63397i | 0.921250 | − | 0.531884i | ||||
\(207\) | −4.19615 | −0.291653 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.00000 | 0.415029 | ||||||||
\(210\) | −8.83013 | + | 5.09808i | −0.609337 | + | 0.351801i | ||||
\(211\) | −8.19615 | − | 14.1962i | −0.564246 | − | 0.977303i | −0.997119 | − | 0.0758485i | \(-0.975833\pi\) |
0.432873 | − | 0.901455i | \(-0.357500\pi\) | |||||||
\(212\) | −3.23205 | + | 5.59808i | −0.221978 | + | 0.384477i | ||||
\(213\) | 4.73205i | 0.324235i | ||||||||
\(214\) | −8.83013 | − | 5.09808i | −0.603615 | − | 0.348497i | ||||
\(215\) | −31.2224 | − | 18.0263i | −2.12935 | − | 1.22938i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | 2.00000 | − | 3.46410i | 0.135769 | − | 0.235159i | ||||
\(218\) | 0.732051 | + | 1.26795i | 0.0495807 | + | 0.0858764i | ||||
\(219\) | 5.42820 | − | 3.13397i | 0.366804 | − | 0.211774i | ||||
\(220\) | −4.73205 | −0.319035 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 3.53590 | 0.237314 | ||||||||
\(223\) | −23.3205 | + | 13.4641i | −1.56166 | + | 0.901623i | −0.564567 | + | 0.825387i | \(0.690957\pi\) |
−0.997090 | + | 0.0762356i | \(0.975710\pi\) | |||||||
\(224\) | 1.36603 | + | 2.36603i | 0.0912714 | + | 0.158087i | ||||
\(225\) | 4.46410 | − | 7.73205i | 0.297607 | − | 0.515470i | ||||
\(226\) | − | 1.33975i | − | 0.0891186i | ||||||
\(227\) | 10.5622 | + | 6.09808i | 0.701036 | + | 0.404744i | 0.807733 | − | 0.589548i | \(-0.200694\pi\) |
−0.106697 | + | 0.994292i | \(0.534027\pi\) | |||||||
\(228\) | 4.09808 | + | 2.36603i | 0.271402 | + | 0.156694i | ||||
\(229\) | 11.8564i | 0.783493i | 0.920073 | + | 0.391747i | \(0.128129\pi\) | ||||
−0.920073 | + | 0.391747i | \(0.871871\pi\) | |||||||
\(230\) | −7.83013 | + | 13.5622i | −0.516303 | + | 0.894264i | ||||
\(231\) | −1.73205 | − | 3.00000i | −0.113961 | − | 0.197386i | ||||
\(232\) | 3.86603 | − | 2.23205i | 0.253817 | − | 0.146541i | ||||
\(233\) | 7.85641 | 0.514690 | 0.257345 | − | 0.966320i | \(-0.417152\pi\) | ||||
0.257345 | + | 0.966320i | \(0.417152\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.19615 | 0.534658 | ||||||||
\(236\) | 6.92820 | − | 4.00000i | 0.450988 | − | 0.260378i | ||||
\(237\) | 1.26795 | + | 2.19615i | 0.0823622 | + | 0.142655i | ||||
\(238\) | 7.83013 | − | 13.5622i | 0.507552 | − | 0.879105i | ||||
\(239\) | 7.66025i | 0.495501i | 0.968824 | + | 0.247750i | \(0.0796913\pi\) | ||||
−0.968824 | + | 0.247750i | \(0.920309\pi\) | |||||||
\(240\) | −3.23205 | − | 1.86603i | −0.208628 | − | 0.120451i | ||||
\(241\) | 11.7679 | + | 6.79423i | 0.758040 | + | 0.437655i | 0.828592 | − | 0.559853i | \(-0.189143\pi\) |
−0.0705514 | + | 0.997508i | \(0.522476\pi\) | |||||||
\(242\) | 9.39230i | 0.603760i | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −4.59808 | − | 7.96410i | −0.294362 | − | 0.509849i | ||||
\(245\) | −1.50000 | + | 0.866025i | −0.0958315 | + | 0.0553283i | ||||
\(246\) | 9.39230 | 0.598831 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 1.46410 | 0.0929705 | ||||||||
\(249\) | −0.169873 | + | 0.0980762i | −0.0107653 | + | 0.00621533i | ||||
\(250\) | −7.33013 | − | 12.6962i | −0.463598 | − | 0.802975i | ||||
\(251\) | 6.73205 | − | 11.6603i | 0.424923 | − | 0.735989i | −0.571490 | − | 0.820609i | \(-0.693634\pi\) |
0.996413 | + | 0.0846203i | \(0.0269677\pi\) | |||||||
\(252\) | − | 2.73205i | − | 0.172103i | ||||||
\(253\) | −4.60770 | − | 2.66025i | −0.289683 | − | 0.167249i | ||||
\(254\) | −8.53590 | − | 4.92820i | −0.535590 | − | 0.309223i | ||||
\(255\) | 21.3923i | 1.33964i | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.66987 | + | 8.08846i | 0.291299 | + | 0.504544i | 0.974117 | − | 0.226044i | \(-0.0725793\pi\) |
−0.682818 | + | 0.730588i | \(0.739246\pi\) | |||||||
\(258\) | 8.36603 | − | 4.83013i | 0.520846 | − | 0.300711i | ||||
\(259\) | 9.66025 | 0.600259 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.46410 | −0.276321 | ||||||||
\(262\) | 5.66025 | − | 3.26795i | 0.349692 | − | 0.201895i | ||||
\(263\) | 5.02628 | + | 8.70577i | 0.309934 | + | 0.536821i | 0.978348 | − | 0.206969i | \(-0.0663598\pi\) |
−0.668414 | + | 0.743790i | \(0.733026\pi\) | |||||||
\(264\) | 0.633975 | − | 1.09808i | 0.0390184 | − | 0.0675819i | ||||
\(265\) | − | 24.1244i | − | 1.48195i | ||||||
\(266\) | 11.1962 | + | 6.46410i | 0.686480 | + | 0.396339i | ||||
\(267\) | −8.19615 | − | 4.73205i | −0.501596 | − | 0.289597i | ||||
\(268\) | − | 13.1244i | − | 0.801698i | ||||||
\(269\) | −2.73205 | + | 4.73205i | −0.166576 | + | 0.288518i | −0.937214 | − | 0.348755i | \(-0.886604\pi\) |
0.770638 | + | 0.637273i | \(0.219938\pi\) | |||||||
\(270\) | 1.86603 | + | 3.23205i | 0.113563 | + | 0.196696i | ||||
\(271\) | 18.9282 | − | 10.9282i | 1.14981 | − | 0.663841i | 0.200966 | − | 0.979598i | \(-0.435592\pi\) |
0.948840 | + | 0.315757i | \(0.102258\pi\) | |||||||
\(272\) | 5.73205 | 0.347557 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.9282 | 0.720609 | ||||||||
\(275\) | 9.80385 | − | 5.66025i | 0.591194 | − | 0.341326i | ||||
\(276\) | −2.09808 | − | 3.63397i | −0.126289 | − | 0.218740i | ||||
\(277\) | −2.86603 | + | 4.96410i | −0.172203 | + | 0.298264i | −0.939190 | − | 0.343399i | \(-0.888422\pi\) |
0.766987 | + | 0.641663i | \(0.221755\pi\) | |||||||
\(278\) | 17.8564i | 1.07096i | ||||||||
\(279\) | −1.26795 | − | 0.732051i | −0.0759101 | − | 0.0438267i | ||||
\(280\) | −8.83013 | − | 5.09808i | −0.527701 | − | 0.304668i | ||||
\(281\) | − | 12.3205i | − | 0.734980i | −0.930027 | − | 0.367490i | \(-0.880217\pi\) | ||
0.930027 | − | 0.367490i | \(-0.119783\pi\) | |||||||
\(282\) | −1.09808 | + | 1.90192i | −0.0653895 | + | 0.113258i | ||||
\(283\) | 12.8301 | + | 22.2224i | 0.762672 | + | 1.32099i | 0.941469 | + | 0.337100i | \(0.109446\pi\) |
−0.178797 | + | 0.983886i | \(0.557220\pi\) | |||||||
\(284\) | −4.09808 | + | 2.36603i | −0.243176 | + | 0.140398i | ||||
\(285\) | −17.6603 | −1.04610 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 25.6603 | 1.51468 | ||||||||
\(288\) | 0.866025 | − | 0.500000i | 0.0510310 | − | 0.0294628i | ||||
\(289\) | −7.92820 | − | 13.7321i | −0.466365 | − | 0.807768i | ||||
\(290\) | −8.33013 | + | 14.4282i | −0.489162 | + | 0.847253i | ||||
\(291\) | − | 6.00000i | − | 0.351726i | ||||||
\(292\) | 5.42820 | + | 3.13397i | 0.317662 | + | 0.183402i | ||||
\(293\) | 26.4282 | + | 15.2583i | 1.54395 | + | 0.891401i | 0.998584 | + | 0.0532048i | \(0.0169436\pi\) |
0.545368 | + | 0.838196i | \(0.316390\pi\) | |||||||
\(294\) | − | 0.464102i | − | 0.0270670i | ||||||
\(295\) | −14.9282 | + | 25.8564i | −0.869154 | + | 1.50542i | ||||
\(296\) | 1.76795 | + | 3.06218i | 0.102760 | + | 0.177985i | ||||
\(297\) | −1.09808 | + | 0.633975i | −0.0637168 | + | 0.0367869i | ||||
\(298\) | −13.1962 | −0.764433 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 8.92820 | 0.515470 | ||||||||
\(301\) | 22.8564 | − | 13.1962i | 1.31742 | − | 0.760614i | ||||
\(302\) | −3.36603 | − | 5.83013i | −0.193693 | − | 0.335486i | ||||
\(303\) | 0.964102 | − | 1.66987i | 0.0553862 | − | 0.0959317i | ||||
\(304\) | 4.73205i | 0.271402i | ||||||||
\(305\) | 29.7224 | + | 17.1603i | 1.70190 | + | 0.982593i | ||||
\(306\) | −4.96410 | − | 2.86603i | −0.283779 | − | 0.163840i | ||||
\(307\) | 22.5885i | 1.28919i | 0.764524 | + | 0.644596i | \(0.222974\pi\) | ||||
−0.764524 | + | 0.644596i | \(0.777026\pi\) | |||||||
\(308\) | 1.73205 | − | 3.00000i | 0.0986928 | − | 0.170941i | ||||
\(309\) | −7.63397 | − | 13.2224i | −0.434282 | − | 0.752198i | ||||
\(310\) | −4.73205 | + | 2.73205i | −0.268762 | + | 0.155170i | ||||
\(311\) | 1.66025 | 0.0941444 | 0.0470722 | − | 0.998891i | \(-0.485011\pi\) | ||||
0.0470722 | + | 0.998891i | \(0.485011\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.53590 | 0.369431 | 0.184715 | − | 0.982792i | \(-0.440864\pi\) | ||||
0.184715 | + | 0.982792i | \(0.440864\pi\) | |||||||
\(314\) | 6.57180 | − | 3.79423i | 0.370868 | − | 0.214121i | ||||
\(315\) | 5.09808 | + | 8.83013i | 0.287244 | + | 0.497521i | ||||
\(316\) | −1.26795 | + | 2.19615i | −0.0713277 | + | 0.123543i | ||||
\(317\) | 20.6603i | 1.16040i | 0.814476 | + | 0.580198i | \(0.197025\pi\) | ||||
−0.814476 | + | 0.580198i | \(0.802975\pi\) | |||||||
\(318\) | 5.59808 | + | 3.23205i | 0.313925 | + | 0.181244i | ||||
\(319\) | −4.90192 | − | 2.83013i | −0.274455 | − | 0.158457i | ||||
\(320\) | − | 3.73205i | − | 0.208628i | ||||||
\(321\) | −5.09808 | + | 8.83013i | −0.284547 | + | 0.492850i | ||||
\(322\) | −5.73205 | − | 9.92820i | −0.319435 | − | 0.553277i | ||||
\(323\) | 23.4904 | − | 13.5622i | 1.30704 | − | 0.754620i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −13.4641 | −0.745708 | ||||||||
\(327\) | 1.26795 | − | 0.732051i | 0.0701178 | − | 0.0404825i | ||||
\(328\) | 4.69615 | + | 8.13397i | 0.259302 | + | 0.449124i | ||||
\(329\) | −3.00000 | + | 5.19615i | −0.165395 | + | 0.286473i | ||||
\(330\) | 4.73205i | 0.260491i | ||||||||
\(331\) | −17.3205 | − | 10.0000i | −0.952021 | − | 0.549650i | −0.0583130 | − | 0.998298i | \(-0.518572\pi\) |
−0.893708 | + | 0.448649i | \(0.851905\pi\) | |||||||
\(332\) | −0.169873 | − | 0.0980762i | −0.00932299 | − | 0.00538263i | ||||
\(333\) | − | 3.53590i | − | 0.193766i | ||||||
\(334\) | 4.73205 | − | 8.19615i | 0.258926 | − | 0.448474i | ||||
\(335\) | 24.4904 | + | 42.4186i | 1.33805 | + | 2.31757i | ||||
\(336\) | 2.36603 | − | 1.36603i | 0.129077 | − | 0.0745228i | ||||
\(337\) | 20.8564 | 1.13612 | 0.568060 | − | 0.822987i | \(-0.307694\pi\) | ||||
0.568060 | + | 0.822987i | \(0.307694\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.33975 | −0.0727650 | ||||||||
\(340\) | −18.5263 | + | 10.6962i | −1.00473 | + | 0.580080i | ||||
\(341\) | −0.928203 | − | 1.60770i | −0.0502650 | − | 0.0870616i | ||||
\(342\) | 2.36603 | − | 4.09808i | 0.127940 | − | 0.221599i | ||||
\(343\) | 17.8564i | 0.964155i | ||||||||
\(344\) | 8.36603 | + | 4.83013i | 0.451066 | + | 0.260423i | ||||
\(345\) | 13.5622 | + | 7.83013i | 0.730163 | + | 0.421560i | ||||
\(346\) | − | 4.39230i | − | 0.236132i | ||||||
\(347\) | −16.5622 | + | 28.6865i | −0.889104 | + | 1.53997i | −0.0481683 | + | 0.998839i | \(0.515338\pi\) |
−0.840936 | + | 0.541135i | \(0.817995\pi\) | |||||||
\(348\) | −2.23205 | − | 3.86603i | −0.119650 | − | 0.207241i | ||||
\(349\) | −13.2679 | + | 7.66025i | −0.710217 | + | 0.410044i | −0.811141 | − | 0.584850i | \(-0.801153\pi\) |
0.100924 | + | 0.994894i | \(0.467820\pi\) | |||||||
\(350\) | 24.3923 | 1.30382 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.26795 | 0.0675819 | ||||||||
\(353\) | −18.8660 | + | 10.8923i | −1.00414 | + | 0.579739i | −0.909470 | − | 0.415770i | \(-0.863512\pi\) |
−0.0946674 | + | 0.995509i | \(0.530179\pi\) | |||||||
\(354\) | −4.00000 | − | 6.92820i | −0.212598 | − | 0.368230i | ||||
\(355\) | 8.83013 | − | 15.2942i | 0.468654 | − | 0.811733i | ||||
\(356\) | − | 9.46410i | − | 0.501596i | ||||||
\(357\) | −13.5622 | − | 7.83013i | −0.717787 | − | 0.414414i | ||||
\(358\) | −13.9019 | − | 8.02628i | −0.734740 | − | 0.424202i | ||||
\(359\) | 1.12436i | 0.0593412i | 0.999560 | + | 0.0296706i | \(0.00944584\pi\) | ||||
−0.999560 | + | 0.0296706i | \(0.990554\pi\) | |||||||
\(360\) | −1.86603 | + | 3.23205i | −0.0983482 | + | 0.170344i | ||||
\(361\) | 1.69615 | + | 2.93782i | 0.0892712 | + | 0.154622i | ||||
\(362\) | −16.6244 | + | 9.59808i | −0.873757 | + | 0.504464i | ||||
\(363\) | 9.39230 | 0.492968 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −23.3923 | −1.22441 | ||||||||
\(366\) | −7.96410 | + | 4.59808i | −0.416290 | + | 0.240345i | ||||
\(367\) | 5.63397 | + | 9.75833i | 0.294091 | + | 0.509381i | 0.974773 | − | 0.223198i | \(-0.0716498\pi\) |
−0.680682 | + | 0.732579i | \(0.738316\pi\) | |||||||
\(368\) | 2.09808 | − | 3.63397i | 0.109370 | − | 0.189434i | ||||
\(369\) | − | 9.39230i | − | 0.488944i | ||||||
\(370\) | −11.4282 | − | 6.59808i | −0.594124 | − | 0.343018i | ||||
\(371\) | 15.2942 | + | 8.83013i | 0.794037 | + | 0.458437i | ||||
\(372\) | − | 1.46410i | − | 0.0759101i | ||||||
\(373\) | 6.86603 | − | 11.8923i | 0.355509 | − | 0.615760i | −0.631696 | − | 0.775216i | \(-0.717641\pi\) |
0.987205 | + | 0.159456i | \(0.0509741\pi\) | |||||||
\(374\) | −3.63397 | − | 6.29423i | −0.187908 | − | 0.325467i | ||||
\(375\) | −12.6962 | + | 7.33013i | −0.655626 | + | 0.378526i | ||||
\(376\) | −2.19615 | −0.113258 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.73205 | −0.140522 | ||||||||
\(379\) | −4.73205 | + | 2.73205i | −0.243069 | + | 0.140336i | −0.616587 | − | 0.787287i | \(-0.711485\pi\) |
0.373517 | + | 0.927623i | \(0.378152\pi\) | |||||||
\(380\) | −8.83013 | − | 15.2942i | −0.452976 | − | 0.784577i | ||||
\(381\) | −4.92820 | + | 8.53590i | −0.252479 | + | 0.437307i | ||||
\(382\) | − | 6.92820i | − | 0.354478i | ||||||
\(383\) | 1.26795 | + | 0.732051i | 0.0647892 | + | 0.0374060i | 0.532045 | − | 0.846716i | \(-0.321424\pi\) |
−0.467255 | + | 0.884122i | \(0.654757\pi\) | |||||||
\(384\) | 0.866025 | + | 0.500000i | 0.0441942 | + | 0.0255155i | ||||
\(385\) | 12.9282i | 0.658882i | ||||||||
\(386\) | 5.86603 | − | 10.1603i | 0.298573 | − | 0.517143i | ||||
\(387\) | −4.83013 | − | 8.36603i | −0.245529 | − | 0.425269i | ||||
\(388\) | 5.19615 | − | 3.00000i | 0.263795 | − | 0.152302i | ||||
\(389\) | −11.7846 | −0.597503 | −0.298752 | − | 0.954331i | \(-0.596570\pi\) | ||||
−0.298752 | + | 0.954331i | \(0.596570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −24.0526 | −1.21639 | ||||||||
\(392\) | 0.401924 | − | 0.232051i | 0.0203002 | − | 0.0117203i | ||||
\(393\) | −3.26795 | − | 5.66025i | −0.164846 | − | 0.285522i | ||||
\(394\) | −8.92820 | + | 15.4641i | −0.449796 | + | 0.779070i | ||||
\(395\) | − | 9.46410i | − | 0.476191i | ||||||
\(396\) | −1.09808 | − | 0.633975i | −0.0551804 | − | 0.0318584i | ||||
\(397\) | 17.6603 | + | 10.1962i | 0.886343 | + | 0.511730i | 0.872744 | − | 0.488177i | \(-0.162338\pi\) |
0.0135983 | + | 0.999908i | \(0.495671\pi\) | |||||||
\(398\) | 14.1962i | 0.711589i | ||||||||
\(399\) | 6.46410 | − | 11.1962i | 0.323610 | − | 0.560509i | ||||
\(400\) | 4.46410 | + | 7.73205i | 0.223205 | + | 0.386603i | ||||
\(401\) | −6.99038 | + | 4.03590i | −0.349083 | + | 0.201543i | −0.664281 | − | 0.747483i | \(-0.731262\pi\) |
0.315198 | + | 0.949026i | \(0.397929\pi\) | |||||||
\(402\) | −13.1244 | −0.654583 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 1.92820 | 0.0959317 | ||||||||
\(405\) | 3.23205 | − | 1.86603i | 0.160602 | − | 0.0927235i | ||||
\(406\) | −6.09808 | − | 10.5622i | −0.302642 | − | 0.524192i | ||||
\(407\) | 2.24167 | − | 3.88269i | 0.111115 | − | 0.192458i | ||||
\(408\) | − | 5.73205i | − | 0.283779i | ||||||
\(409\) | −15.3564 | − | 8.86603i | −0.759325 | − | 0.438397i | 0.0697281 | − | 0.997566i | \(-0.477787\pi\) |
−0.829053 | + | 0.559169i | \(0.811120\pi\) | |||||||
\(410\) | −30.3564 | − | 17.5263i | −1.49920 | − | 0.865561i | ||||
\(411\) | − | 11.9282i | − | 0.588375i | ||||||
\(412\) | 7.63397 | − | 13.2224i | 0.376099 | − | 0.651422i | ||||
\(413\) | −10.9282 | − | 18.9282i | −0.537742 | − | 0.931396i | ||||
\(414\) | −3.63397 | + | 2.09808i | −0.178600 | + | 0.103115i | ||||
\(415\) | 0.732051 | 0.0359350 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 17.8564 | 0.874432 | ||||||||
\(418\) | 5.19615 | − | 3.00000i | 0.254152 | − | 0.146735i | ||||
\(419\) | 8.73205 | + | 15.1244i | 0.426589 | + | 0.738873i | 0.996567 | − | 0.0827863i | \(-0.0263819\pi\) |
−0.569979 | + | 0.821659i | \(0.693049\pi\) | |||||||
\(420\) | −5.09808 | + | 8.83013i | −0.248761 | + | 0.430866i | ||||
\(421\) | − | 22.7128i | − | 1.10695i | −0.832864 | − | 0.553477i | \(-0.813301\pi\) | ||
0.832864 | − | 0.553477i | \(-0.186699\pi\) | |||||||
\(422\) | −14.1962 | − | 8.19615i | −0.691058 | − | 0.398982i | ||||
\(423\) | 1.90192 | + | 1.09808i | 0.0924747 | + | 0.0533903i | ||||
\(424\) | 6.46410i | 0.313925i | ||||||||
\(425\) | 25.5885 | − | 44.3205i | 1.24122 | − | 2.14986i | ||||
\(426\) | 2.36603 | + | 4.09808i | 0.114634 | + | 0.198552i | ||||
\(427\) | −21.7583 | + | 12.5622i | −1.05296 | + | 0.607926i | ||||
\(428\) | −10.1962 | −0.492850 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −36.0526 | −1.73861 | ||||||||
\(431\) | 11.3660 | − | 6.56218i | 0.547482 | − | 0.316089i | −0.200624 | − | 0.979668i | \(-0.564297\pi\) |
0.748106 | + | 0.663579i | \(0.230964\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | 6.42820 | − | 11.1340i | 0.308920 | − | 0.535065i | −0.669207 | − | 0.743076i | \(-0.733366\pi\) |
0.978126 | + | 0.208012i | \(0.0666992\pi\) | |||||||
\(434\) | − | 4.00000i | − | 0.192006i | ||||||
\(435\) | 14.4282 | + | 8.33013i | 0.691779 | + | 0.399399i | ||||
\(436\) | 1.26795 | + | 0.732051i | 0.0607238 | + | 0.0350589i | ||||
\(437\) | − | 19.8564i | − | 0.949861i | ||||||
\(438\) | 3.13397 | − | 5.42820i | 0.149747 | − | 0.259370i | ||||
\(439\) | −0.169873 | − | 0.294229i | −0.00810760 | − | 0.0140428i | 0.861943 | − | 0.507005i | \(-0.169247\pi\) |
−0.870051 | + | 0.492962i | \(0.835914\pi\) | |||||||
\(440\) | −4.09808 | + | 2.36603i | −0.195368 | + | 0.112796i | ||||
\(441\) | −0.464102 | −0.0221001 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.6077 | 0.741544 | 0.370772 | − | 0.928724i | \(-0.379093\pi\) | ||||
0.370772 | + | 0.928724i | \(0.379093\pi\) | |||||||
\(444\) | 3.06218 | − | 1.76795i | 0.145325 | − | 0.0839032i | ||||
\(445\) | 17.6603 | + | 30.5885i | 0.837176 | + | 1.45003i | ||||
\(446\) | −13.4641 | + | 23.3205i | −0.637544 | + | 1.10426i | ||||
\(447\) | 13.1962i | 0.624157i | ||||||||
\(448\) | 2.36603 | + | 1.36603i | 0.111784 | + | 0.0645386i | ||||
\(449\) | 9.80385 | + | 5.66025i | 0.462672 | + | 0.267124i | 0.713167 | − | 0.700994i | \(-0.247260\pi\) |
−0.250495 | + | 0.968118i | \(0.580593\pi\) | |||||||
\(450\) | − | 8.92820i | − | 0.420880i | ||||||
\(451\) | 5.95448 | − | 10.3135i | 0.280386 | − | 0.485642i | ||||
\(452\) | −0.669873 | − | 1.16025i | −0.0315082 | − | 0.0545738i | ||||
\(453\) | −5.83013 | + | 3.36603i | −0.273923 | + | 0.158150i | ||||
\(454\) | 12.1962 | 0.572394 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.73205 | 0.221599 | ||||||||
\(457\) | 1.16025 | − | 0.669873i | 0.0542744 | − | 0.0313353i | −0.472617 | − | 0.881268i | \(-0.656691\pi\) |
0.526892 | + | 0.849932i | \(0.323357\pi\) | |||||||
\(458\) | 5.92820 | + | 10.2679i | 0.277007 | + | 0.479790i | ||||
\(459\) | −2.86603 | + | 4.96410i | −0.133775 | + | 0.231704i | ||||
\(460\) | 15.6603i | 0.730163i | ||||||||
\(461\) | −19.2846 | − | 11.1340i | −0.898174 | − | 0.518561i | −0.0215666 | − | 0.999767i | \(-0.506865\pi\) |
−0.876607 | + | 0.481207i | \(0.840199\pi\) | |||||||
\(462\) | −3.00000 | − | 1.73205i | −0.139573 | − | 0.0805823i | ||||
\(463\) | − | 10.0526i | − | 0.467182i | −0.972335 | − | 0.233591i | \(-0.924952\pi\) | ||
0.972335 | − | 0.233591i | \(-0.0750477\pi\) | |||||||
\(464\) | 2.23205 | − | 3.86603i | 0.103620 | − | 0.179476i | ||||
\(465\) | 2.73205 | + | 4.73205i | 0.126696 | + | 0.219444i | ||||
\(466\) | 6.80385 | − | 3.92820i | 0.315182 | − | 0.181971i | ||||
\(467\) | −18.5885 | −0.860171 | −0.430086 | − | 0.902788i | \(-0.641517\pi\) | ||||
−0.430086 | + | 0.902788i | \(0.641517\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −35.8564 | −1.65570 | ||||||||
\(470\) | 7.09808 | − | 4.09808i | 0.327410 | − | 0.189030i | ||||
\(471\) | −3.79423 | − | 6.57180i | −0.174829 | − | 0.302812i | ||||
\(472\) | 4.00000 | − | 6.92820i | 0.184115 | − | 0.318896i | ||||
\(473\) | − | 12.2487i | − | 0.563196i | ||||||
\(474\) | 2.19615 | + | 1.26795i | 0.100873 | + | 0.0582388i | ||||
\(475\) | 36.5885 | + | 21.1244i | 1.67879 | + | 0.969252i | ||||
\(476\) | − | 15.6603i | − | 0.717787i | ||||||
\(477\) | 3.23205 | − | 5.59808i | 0.147985 | − | 0.256318i | ||||
\(478\) | 3.83013 | + | 6.63397i | 0.175186 | + | 0.303431i | ||||
\(479\) | −28.9808 | + | 16.7321i | −1.32416 | + | 0.764507i | −0.984390 | − | 0.176000i | \(-0.943684\pi\) |
−0.339775 | + | 0.940507i | \(0.610351\pi\) | |||||||
\(480\) | −3.73205 | −0.170344 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 13.5885 | 0.618937 | ||||||||
\(483\) | −9.92820 | + | 5.73205i | −0.451749 | + | 0.260817i | ||||
\(484\) | 4.69615 | + | 8.13397i | 0.213461 | + | 0.369726i | ||||
\(485\) | −11.1962 | + | 19.3923i | −0.508391 | + | 0.880559i | ||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | 2.70577 | + | 1.56218i | 0.122610 | + | 0.0707890i | 0.560051 | − | 0.828458i | \(-0.310782\pi\) |
−0.437441 | + | 0.899247i | \(0.644115\pi\) | |||||||
\(488\) | −7.96410 | − | 4.59808i | −0.360518 | − | 0.208145i | ||||
\(489\) | 13.4641i | 0.608868i | ||||||||
\(490\) | −0.866025 | + | 1.50000i | −0.0391230 | + | 0.0677631i | ||||
\(491\) | 4.36603 | + | 7.56218i | 0.197036 | + | 0.341276i | 0.947566 | − | 0.319560i | \(-0.103535\pi\) |
−0.750530 | + | 0.660836i | \(0.770202\pi\) | |||||||
\(492\) | 8.13397 | − | 4.69615i | 0.366708 | − | 0.211719i | ||||
\(493\) | −25.5885 | −1.15245 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.73205 | 0.212690 | ||||||||
\(496\) | 1.26795 | − | 0.732051i | 0.0569326 | − | 0.0328701i | ||||
\(497\) | 6.46410 | + | 11.1962i | 0.289955 | + | 0.502216i | ||||
\(498\) | −0.0980762 | + | 0.169873i | −0.00439490 | + | 0.00761219i | ||||
\(499\) | 32.0000i | 1.43252i | 0.697835 | + | 0.716258i | \(0.254147\pi\) | ||||
−0.697835 | + | 0.716258i | \(0.745853\pi\) | |||||||
\(500\) | −12.6962 | − | 7.33013i | −0.567789 | − | 0.327813i | ||||
\(501\) | −8.19615 | − | 4.73205i | −0.366177 | − | 0.211412i | ||||
\(502\) | − | 13.4641i | − | 0.600932i | ||||||
\(503\) | −20.4904 | + | 35.4904i | −0.913621 | + | 1.58244i | −0.104713 | + | 0.994502i | \(0.533392\pi\) |
−0.808908 | + | 0.587935i | \(0.799941\pi\) | |||||||
\(504\) | −1.36603 | − | 2.36603i | −0.0608476 | − | 0.105391i | ||||
\(505\) | −6.23205 | + | 3.59808i | −0.277323 | + | 0.160112i | ||||
\(506\) | −5.32051 | −0.236525 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.85641 | −0.437307 | ||||||||
\(509\) | 11.8923 | − | 6.86603i | 0.527117 | − | 0.304331i | −0.212725 | − | 0.977112i | \(-0.568234\pi\) |
0.739842 | + | 0.672781i | \(0.234900\pi\) | |||||||
\(510\) | 10.6962 | + | 18.5263i | 0.473634 | + | 0.820357i | ||||
\(511\) | 8.56218 | − | 14.8301i | 0.378768 | − | 0.656046i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −4.09808 | − | 2.36603i | −0.180934 | − | 0.104463i | ||||
\(514\) | 8.08846 | + | 4.66987i | 0.356767 | + | 0.205979i | ||||
\(515\) | 56.9808i | 2.51087i | ||||||||
\(516\) | 4.83013 | − | 8.36603i | 0.212634 | − | 0.368294i | ||||
\(517\) | 1.39230 | + | 2.41154i | 0.0612335 | + | 0.106060i | ||||
\(518\) | 8.36603 | − | 4.83013i | 0.367582 | − | 0.212224i | ||||
\(519\) | −4.39230 | −0.192801 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 41.4449 | 1.81573 | 0.907866 | − | 0.419260i | \(-0.137710\pi\) | ||||
0.907866 | + | 0.419260i | \(0.137710\pi\) | |||||||
\(522\) | −3.86603 | + | 2.23205i | −0.169211 | + | 0.0976942i | ||||
\(523\) | 11.2224 | + | 19.4378i | 0.490723 | + | 0.849957i | 0.999943 | − | 0.0106796i | \(-0.00339949\pi\) |
−0.509220 | + | 0.860636i | \(0.670066\pi\) | |||||||
\(524\) | 3.26795 | − | 5.66025i | 0.142761 | − | 0.247269i | ||||
\(525\) | − | 24.3923i | − | 1.06457i | ||||||
\(526\) | 8.70577 | + | 5.02628i | 0.379590 | + | 0.219156i | ||||
\(527\) | −7.26795 | − | 4.19615i | −0.316597 | − | 0.182787i | ||||
\(528\) | − | 1.26795i | − | 0.0551804i | ||||||
\(529\) | 2.69615 | − | 4.66987i | 0.117224 | − | 0.203038i | ||||
\(530\) | −12.0622 | − | 20.8923i | −0.523948 | − | 0.907504i | ||||
\(531\) | −6.92820 | + | 4.00000i | −0.300658 | + | 0.173585i | ||||
\(532\) | 12.9282 | 0.560509 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −9.46410 | −0.409552 | ||||||||
\(535\) | 32.9545 | − | 19.0263i | 1.42475 | − | 0.822578i | ||||
\(536\) | −6.56218 | − | 11.3660i | −0.283443 | − | 0.490938i | ||||
\(537\) | −8.02628 | + | 13.9019i | −0.346360 | + | 0.599912i | ||||
\(538\) | 5.46410i | 0.235574i | ||||||||
\(539\) | −0.509619 | − | 0.294229i | −0.0219508 | − | 0.0126733i | ||||
\(540\) | 3.23205 | + | 1.86603i | 0.139085 | + | 0.0803009i | ||||
\(541\) | − | 5.67949i | − | 0.244180i | −0.992519 | − | 0.122090i | \(-0.961040\pi\) | ||
0.992519 | − | 0.122090i | \(-0.0389597\pi\) | |||||||
\(542\) | 10.9282 | − | 18.9282i | 0.469407 | − | 0.813036i | ||||
\(543\) | 9.59808 | + | 16.6244i | 0.411893 | + | 0.713419i | ||||
\(544\) | 4.96410 | − | 2.86603i | 0.212834 | − | 0.122880i | ||||
\(545\) | −5.46410 | −0.234056 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.19615 | −0.179415 | −0.0897073 | − | 0.995968i | \(-0.528593\pi\) | ||||
−0.0897073 | + | 0.995968i | \(0.528593\pi\) | |||||||
\(548\) | 10.3301 | − | 5.96410i | 0.441281 | − | 0.254774i | ||||
\(549\) | 4.59808 | + | 7.96410i | 0.196241 | + | 0.339900i | ||||
\(550\) | 5.66025 | − | 9.80385i | 0.241354 | − | 0.418037i | ||||
\(551\) | − | 21.1244i | − | 0.899928i | ||||||
\(552\) | −3.63397 | − | 2.09808i | −0.154672 | − | 0.0893001i | ||||
\(553\) | 6.00000 | + | 3.46410i | 0.255146 | + | 0.147309i | ||||
\(554\) | 5.73205i | 0.243532i | ||||||||
\(555\) | −6.59808 | + | 11.4282i | −0.280073 | + | 0.485100i | ||||
\(556\) | 8.92820 | + | 15.4641i | 0.378640 | + | 0.655824i | ||||
\(557\) | −36.6962 | + | 21.1865i | −1.55487 | + | 0.897702i | −0.557132 | + | 0.830424i | \(0.688098\pi\) |
−0.997734 | + | 0.0672780i | \(0.978569\pi\) | |||||||
\(558\) | −1.46410 | −0.0619804 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −10.1962 | −0.430866 | ||||||||
\(561\) | −6.29423 | + | 3.63397i | −0.265743 | + | 0.153427i | ||||
\(562\) | −6.16025 | − | 10.6699i | −0.259855 | − | 0.450081i | ||||
\(563\) | 17.4641 | − | 30.2487i | 0.736024 | − | 1.27483i | −0.218248 | − | 0.975893i | \(-0.570034\pi\) |
0.954273 | − | 0.298938i | \(-0.0966324\pi\) | |||||||
\(564\) | 2.19615i | 0.0924747i | ||||||||
\(565\) | 4.33013 | + | 2.50000i | 0.182170 | + | 0.105176i | ||||
\(566\) | 22.2224 | + | 12.8301i | 0.934078 | + | 0.539290i | ||||
\(567\) | 2.73205i | 0.114735i | ||||||||
\(568\) | −2.36603 | + | 4.09808i | −0.0992762 | + | 0.171951i | ||||
\(569\) | 15.3205 | + | 26.5359i | 0.642269 | + | 1.11244i | 0.984925 | + | 0.172982i | \(0.0553402\pi\) |
−0.342656 | + | 0.939461i | \(0.611326\pi\) | |||||||
\(570\) | −15.2942 | + | 8.83013i | −0.640605 | + | 0.369853i | ||||
\(571\) | −14.0526 | −0.588081 | −0.294041 | − | 0.955793i | \(-0.595000\pi\) | ||||
−0.294041 | + | 0.955793i | \(0.595000\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.92820 | −0.289430 | ||||||||
\(574\) | 22.2224 | − | 12.8301i | 0.927546 | − | 0.535519i | ||||
\(575\) | −18.7321 | − | 32.4449i | −0.781181 | − | 1.35304i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 3.73205i | 0.155367i | 0.996978 | + | 0.0776837i | \(0.0247524\pi\) | ||||
−0.996978 | + | 0.0776837i | \(0.975248\pi\) | |||||||
\(578\) | −13.7321 | − | 7.92820i | −0.571178 | − | 0.329770i | ||||
\(579\) | −10.1603 | − | 5.86603i | −0.422246 | − | 0.243784i | ||||
\(580\) | 16.6603i | 0.691779i | ||||||||
\(581\) | −0.267949 | + | 0.464102i | −0.0111164 | + | 0.0192542i | ||||
\(582\) | −3.00000 | − | 5.19615i | −0.124354 | − | 0.215387i | ||||
\(583\) | 7.09808 | − | 4.09808i | 0.293972 | − | 0.169725i | ||||
\(584\) | 6.26795 | 0.259370 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 30.5167 | 1.26063 | ||||||||
\(587\) | 13.8564 | − | 8.00000i | 0.571915 | − | 0.330195i | −0.185999 | − | 0.982550i | \(-0.559552\pi\) |
0.757914 | + | 0.652355i | \(0.226219\pi\) | |||||||
\(588\) | −0.232051 | − | 0.401924i | −0.00956961 | − | 0.0165751i | ||||
\(589\) | 3.46410 | − | 6.00000i | 0.142736 | − | 0.247226i | ||||
\(590\) | 29.8564i | 1.22917i | ||||||||
\(591\) | 15.4641 | + | 8.92820i | 0.636108 | + | 0.367257i | ||||
\(592\) | 3.06218 | + | 1.76795i | 0.125855 | + | 0.0726623i | ||||
\(593\) | 9.14359i | 0.375482i | 0.982219 | + | 0.187741i | \(0.0601166\pi\) | ||||
−0.982219 | + | 0.187741i | \(0.939883\pi\) | |||||||
\(594\) | −0.633975 | + | 1.09808i | −0.0260123 | + | 0.0450546i | ||||
\(595\) | 29.2224 | + | 50.6147i | 1.19800 | + | 2.07500i | ||||
\(596\) | −11.4282 | + | 6.59808i | −0.468117 | + | 0.270268i | ||||
\(597\) | 14.1962 | 0.581010 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.53590 | −0.103614 | −0.0518070 | − | 0.998657i | \(-0.516498\pi\) | ||||
−0.0518070 | + | 0.998657i | \(0.516498\pi\) | |||||||
\(600\) | 7.73205 | − | 4.46410i | 0.315660 | − | 0.182246i | ||||
\(601\) | −3.96410 | − | 6.86603i | −0.161699 | − | 0.280071i | 0.773779 | − | 0.633456i | \(-0.218364\pi\) |
−0.935478 | + | 0.353385i | \(0.885031\pi\) | |||||||
\(602\) | 13.1962 | − | 22.8564i | 0.537835 | − | 0.931558i | ||||
\(603\) | 13.1244i | 0.534465i | ||||||||
\(604\) | −5.83013 | − | 3.36603i | −0.237225 | − | 0.136962i | ||||
\(605\) | −30.3564 | − | 17.5263i | −1.23416 | − | 0.712545i | ||||
\(606\) | − | 1.92820i | − | 0.0783279i | ||||||
\(607\) | 20.3923 | − | 35.3205i | 0.827698 | − | 1.43362i | −0.0721415 | − | 0.997394i | \(-0.522983\pi\) |
0.899840 | − | 0.436221i | \(-0.143683\pi\) | |||||||
\(608\) | 2.36603 | + | 4.09808i | 0.0959550 | + | 0.166199i | ||||
\(609\) | −10.5622 | + | 6.09808i | −0.428001 | + | 0.247107i | ||||
\(610\) | 34.3205 | 1.38960 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −5.73205 | −0.231704 | ||||||||
\(613\) | −8.13397 | + | 4.69615i | −0.328528 | + | 0.189676i | −0.655187 | − | 0.755466i | \(-0.727410\pi\) |
0.326659 | + | 0.945142i | \(0.394077\pi\) | |||||||
\(614\) | 11.2942 | + | 19.5622i | 0.455798 | + | 0.789465i | ||||
\(615\) | −17.5263 | + | 30.3564i | −0.706728 | + | 1.22409i | ||||
\(616\) | − | 3.46410i | − | 0.139573i | ||||||
\(617\) | 11.4737 | + | 6.62436i | 0.461915 | + | 0.266687i | 0.712849 | − | 0.701318i | \(-0.247404\pi\) |
−0.250934 | + | 0.968004i | \(0.580738\pi\) | |||||||
\(618\) | −13.2224 | − | 7.63397i | −0.531884 | − | 0.307083i | ||||
\(619\) | − | 17.4641i | − | 0.701942i | −0.936386 | − | 0.350971i | \(-0.885852\pi\) | ||
0.936386 | − | 0.350971i | \(-0.114148\pi\) | |||||||
\(620\) | −2.73205 | + | 4.73205i | −0.109722 | + | 0.190044i | ||||
\(621\) | 2.09808 | + | 3.63397i | 0.0841929 | + | 0.145826i | ||||
\(622\) | 1.43782 | − | 0.830127i | 0.0576514 | − | 0.0332851i | ||||
\(623\) | −25.8564 | −1.03592 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.0718 | 0.402872 | ||||||||
\(626\) | 5.66025 | − | 3.26795i | 0.226229 | − | 0.130614i | ||||
\(627\) | −3.00000 | − | 5.19615i | −0.119808 | − | 0.207514i | ||||
\(628\) | 3.79423 | − | 6.57180i | 0.151406 | − | 0.262243i | ||||
\(629\) | − | 20.2679i | − | 0.808136i | ||||||
\(630\) | 8.83013 | + | 5.09808i | 0.351801 | + | 0.203112i | ||||
\(631\) | −6.67949 | − | 3.85641i | −0.265906 | − | 0.153521i | 0.361119 | − | 0.932520i | \(-0.382395\pi\) |
−0.627026 | + | 0.778998i | \(0.715728\pi\) | |||||||
\(632\) | 2.53590i | 0.100873i | ||||||||
\(633\) | −8.19615 | + | 14.1962i | −0.325768 | + | 0.564246i | ||||
\(634\) | 10.3301 | + | 17.8923i | 0.410262 | + | 0.710594i | ||||
\(635\) | 31.8564 | − | 18.3923i | 1.26418 | − | 0.729876i | ||||
\(636\) | 6.46410 | 0.256318 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.66025 | −0.224092 | ||||||||
\(639\) | 4.09808 | − | 2.36603i | 0.162117 | − | 0.0935985i | ||||
\(640\) | −1.86603 | − | 3.23205i | −0.0737611 | − | 0.127758i | ||||
\(641\) | −12.9904 | + | 22.5000i | −0.513089 | + | 0.888697i | 0.486796 | + | 0.873516i | \(0.338166\pi\) |
−0.999885 | + | 0.0151806i | \(0.995168\pi\) | |||||||
\(642\) | 10.1962i | 0.402410i | ||||||||
\(643\) | 12.0000 | + | 6.92820i | 0.473234 | + | 0.273222i | 0.717592 | − | 0.696463i | \(-0.245244\pi\) |
−0.244359 | + | 0.969685i | \(0.578577\pi\) | |||||||
\(644\) | −9.92820 | − | 5.73205i | −0.391226 | − | 0.225874i | ||||
\(645\) | 36.0526i | 1.41957i | ||||||||
\(646\) | 13.5622 | − | 23.4904i | 0.533597 | − | 0.924217i | ||||
\(647\) | −11.1244 | − | 19.2679i | −0.437344 | − | 0.757501i | 0.560140 | − | 0.828398i | \(-0.310747\pi\) |
−0.997484 | + | 0.0708966i | \(0.977414\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | −10.1436 | −0.398171 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.00000 | −0.156772 | ||||||||
\(652\) | −11.6603 | + | 6.73205i | −0.456651 | + | 0.263647i | ||||
\(653\) | 8.73205 | + | 15.1244i | 0.341712 | + | 0.591862i | 0.984751 | − | 0.173972i | \(-0.0556601\pi\) |
−0.643039 | + | 0.765833i | \(0.722327\pi\) | |||||||
\(654\) | 0.732051 | − | 1.26795i | 0.0286255 | − | 0.0495807i | ||||
\(655\) | 24.3923i | 0.953086i | ||||||||
\(656\) | 8.13397 | + | 4.69615i | 0.317578 | + | 0.183354i | ||||
\(657\) | −5.42820 | − | 3.13397i | −0.211774 | − | 0.122268i | ||||
\(658\) | 6.00000i | 0.233904i | ||||||||
\(659\) | 5.12436 | − | 8.87564i | 0.199617 | − | 0.345746i | −0.748788 | − | 0.662810i | \(-0.769364\pi\) |
0.948404 | + | 0.317064i | \(0.102697\pi\) | |||||||
\(660\) | 2.36603 | + | 4.09808i | 0.0920974 | + | 0.159517i | ||||
\(661\) | −9.86603 | + | 5.69615i | −0.383744 | + | 0.221555i | −0.679446 | − | 0.733726i | \(-0.737780\pi\) |
0.295702 | + | 0.955280i | \(0.404446\pi\) | |||||||
\(662\) | −20.0000 | −0.777322 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.196152 | −0.00761219 | ||||||||
\(665\) | −41.7846 | + | 24.1244i | −1.62034 | + | 0.935502i | ||||
\(666\) | −1.76795 | − | 3.06218i | −0.0685066 | − | 0.118657i | ||||
\(667\) | −9.36603 | + | 16.2224i | −0.362654 | + | 0.628135i | ||||
\(668\) | − | 9.46410i | − | 0.366177i | ||||||
\(669\) | 23.3205 | + | 13.4641i | 0.901623 | + | 0.520552i | ||||
\(670\) | 42.4186 | + | 24.4904i | 1.63877 | + | 0.946146i | ||||
\(671\) | 11.6603i | 0.450139i | ||||||||
\(672\) | 1.36603 | − | 2.36603i | 0.0526956 | − | 0.0912714i | ||||
\(673\) | 13.9641 | + | 24.1865i | 0.538277 | + | 0.932322i | 0.998997 | + | 0.0447770i | \(0.0142577\pi\) |
−0.460720 | + | 0.887545i | \(0.652409\pi\) | |||||||
\(674\) | 18.0622 | − | 10.4282i | 0.695729 | − | 0.401679i | ||||
\(675\) | −8.92820 | −0.343647 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −45.4641 | −1.74733 | −0.873664 | − | 0.486530i | \(-0.838262\pi\) | ||||
−0.873664 | + | 0.486530i | \(0.838262\pi\) | |||||||
\(678\) | −1.16025 | + | 0.669873i | −0.0445593 | + | 0.0257263i | ||||
\(679\) | −8.19615 | − | 14.1962i | −0.314539 | − | 0.544798i | ||||
\(680\) | −10.6962 | + | 18.5263i | −0.410179 | + | 0.710450i | ||||
\(681\) | − | 12.1962i | − | 0.467358i | ||||||
\(682\) | −1.60770 | − | 0.928203i | −0.0615618 | − | 0.0355427i | ||||
\(683\) | −8.78461 | − | 5.07180i | −0.336134 | − | 0.194067i | 0.322427 | − | 0.946594i | \(-0.395501\pi\) |
−0.658561 | + | 0.752527i | \(0.728835\pi\) | |||||||
\(684\) | − | 4.73205i | − | 0.180934i | ||||||
\(685\) | −22.2583 | + | 38.5526i | −0.850447 | + | 1.47302i | ||||
\(686\) | 8.92820 | + | 15.4641i | 0.340880 | + | 0.590422i | ||||
\(687\) | 10.2679 | − | 5.92820i | 0.391747 | − | 0.226175i | ||||
\(688\) | 9.66025 | 0.368294 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 15.6603 | 0.596176 | ||||||||
\(691\) | 37.8109 | − | 21.8301i | 1.43839 | − | 0.830457i | 0.440656 | − | 0.897676i | \(-0.354746\pi\) |
0.997738 | + | 0.0672190i | \(0.0214126\pi\) | |||||||
\(692\) | −2.19615 | − | 3.80385i | −0.0834852 | − | 0.144601i | ||||
\(693\) | −1.73205 | + | 3.00000i | −0.0657952 | + | 0.113961i | ||||
\(694\) | 33.1244i | 1.25738i | ||||||||
\(695\) | −57.7128 | − | 33.3205i | −2.18917 | − | 1.26392i | ||||
\(696\) | −3.86603 | − | 2.23205i | −0.146541 | − | 0.0846057i | ||||
\(697\) | − | 53.8372i | − | 2.03923i | ||||||
\(698\) | −7.66025 | + | 13.2679i | −0.289945 | + | 0.502199i | ||||
\(699\) | −3.92820 | − | 6.80385i | −0.148578 | − | 0.257345i | ||||
\(700\) | 21.1244 | − | 12.1962i | 0.798426 | − | 0.460971i | ||||
\(701\) | 3.32051 | 0.125414 | 0.0627069 | − | 0.998032i | \(-0.480027\pi\) | ||||
0.0627069 | + | 0.998032i | \(0.480027\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.7321 | 0.631061 | ||||||||
\(704\) | 1.09808 | − | 0.633975i | 0.0413853 | − | 0.0238938i | ||||
\(705\) | −4.09808 | − | 7.09808i | −0.154342 | − | 0.267329i | ||||
\(706\) | −10.8923 | + | 18.8660i | −0.409937 | + | 0.710032i | ||||
\(707\) | − | 5.26795i | − | 0.198122i | ||||||
\(708\) | −6.92820 | − | 4.00000i | −0.260378 | − | 0.150329i | ||||
\(709\) | 11.3827 | + | 6.57180i | 0.427486 | + | 0.246809i | 0.698275 | − | 0.715830i | \(-0.253951\pi\) |
−0.270789 | + | 0.962639i | \(0.587285\pi\) | |||||||
\(710\) | − | 17.6603i | − | 0.662778i | ||||||
\(711\) | 1.26795 | − | 2.19615i | 0.0475518 | − | 0.0823622i | ||||
\(712\) | −4.73205 | − | 8.19615i | −0.177341 | − | 0.307164i | ||||
\(713\) | −5.32051 | + | 3.07180i | −0.199255 | + | 0.115040i | ||||
\(714\) | −15.6603 | −0.586070 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −16.0526 | −0.599912 | ||||||||
\(717\) | 6.63397 | − | 3.83013i | 0.247750 | − | 0.143039i | ||||
\(718\) | 0.562178 | + | 0.973721i | 0.0209803 | + | 0.0363389i | ||||
\(719\) | −14.7321 | + | 25.5167i | −0.549413 | + | 0.951611i | 0.448902 | + | 0.893581i | \(0.351815\pi\) |
−0.998315 | + | 0.0580299i | \(0.981518\pi\) | |||||||
\(720\) | 3.73205i | 0.139085i | ||||||||
\(721\) | −36.1244 | − | 20.8564i | −1.34534 | − | 0.776733i | ||||
\(722\) | 2.93782 | + | 1.69615i | 0.109334 | + | 0.0631243i | ||||
\(723\) | − | 13.5885i | − | 0.505360i | ||||||
\(724\) | −9.59808 | + | 16.6244i | −0.356710 | + | 0.617839i | ||||
\(725\) | −19.9282 | − | 34.5167i | −0.740115 | − | 1.28192i | ||||
\(726\) | 8.13397 | − | 4.69615i | 0.301880 | − | 0.174291i | ||||
\(727\) | 30.9808 | 1.14901 | 0.574506 | − | 0.818500i | \(-0.305194\pi\) | ||||
0.574506 | + | 0.818500i | \(0.305194\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −20.2583 | + | 11.6962i | −0.749794 | + | 0.432894i | ||||
\(731\) | −27.6865 | − | 47.9545i | −1.02402 | − | 1.77366i | ||||
\(732\) | −4.59808 | + | 7.96410i | −0.169950 | + | 0.294362i | ||||
\(733\) | 19.0000i | 0.701781i | 0.936416 | + | 0.350891i | \(0.114121\pi\) | ||||
−0.936416 | + | 0.350891i | \(0.885879\pi\) | |||||||
\(734\) | 9.75833 | + | 5.63397i | 0.360187 | + | 0.207954i | ||||
\(735\) | 1.50000 | + | 0.866025i | 0.0553283 | + | 0.0319438i | ||||
\(736\) | − | 4.19615i | − | 0.154672i | ||||||
\(737\) | −8.32051 | + | 14.4115i | −0.306490 | + | 0.530856i | ||||
\(738\) | −4.69615 | − | 8.13397i | −0.172868 | − | 0.299416i | ||||
\(739\) | −2.53590 | + | 1.46410i | −0.0932845 | + | 0.0538578i | −0.545917 | − | 0.837840i | \(-0.683818\pi\) |
0.452632 | + | 0.891697i | \(0.350485\pi\) | |||||||
\(740\) | −13.1962 | −0.485100 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 17.6603 | 0.648328 | ||||||||
\(743\) | −41.9090 | + | 24.1962i | −1.53749 | + | 0.887671i | −0.538506 | + | 0.842622i | \(0.681011\pi\) |
−0.998985 | + | 0.0450491i | \(0.985656\pi\) | |||||||
\(744\) | −0.732051 | − | 1.26795i | −0.0268383 | − | 0.0464853i | ||||
\(745\) | 24.6244 | − | 42.6506i | 0.902167 | − | 1.56260i | ||||
\(746\) | − | 13.7321i | − | 0.502766i | ||||||
\(747\) | 0.169873 | + | 0.0980762i | 0.00621533 | + | 0.00358842i | ||||
\(748\) | −6.29423 | − | 3.63397i | −0.230140 | − | 0.132871i | ||||
\(749\) | 27.8564i | 1.01785i | ||||||||
\(750\) | −7.33013 | + | 12.6962i | −0.267658 | + | 0.463598i | ||||
\(751\) | −24.9545 | − | 43.2224i | −0.910602 | − | 1.57721i | −0.813216 | − | 0.581962i | \(-0.802285\pi\) |
−0.0973862 | − | 0.995247i | \(-0.531048\pi\) | |||||||
\(752\) | −1.90192 | + | 1.09808i | −0.0693560 | + | 0.0400427i | ||||
\(753\) | −13.4641 | −0.490659 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 25.1244 | 0.914369 | ||||||||
\(756\) | −2.36603 | + | 1.36603i | −0.0860515 | + | 0.0496819i | ||||
\(757\) | −10.4641 | − | 18.1244i | −0.380324 | − | 0.658741i | 0.610784 | − | 0.791797i | \(-0.290854\pi\) |
−0.991109 | + | 0.133056i | \(0.957521\pi\) | |||||||
\(758\) | −2.73205 | + | 4.73205i | −0.0992326 | + | 0.171876i | ||||
\(759\) | 5.32051i | 0.193122i | ||||||||
\(760\) | −15.2942 | − | 8.83013i | −0.554780 | − | 0.320302i | ||||
\(761\) | 9.80385 | + | 5.66025i | 0.355389 | + | 0.205184i | 0.667056 | − | 0.745007i | \(-0.267554\pi\) |
−0.311667 | + | 0.950191i | \(0.600887\pi\) | |||||||
\(762\) | 9.85641i | 0.357060i | ||||||||
\(763\) | 2.00000 | − | 3.46410i | 0.0724049 | − | 0.125409i | ||||
\(764\) | −3.46410 | − | 6.00000i | −0.125327 | − | 0.217072i | ||||
\(765\) | 18.5263 | − | 10.6962i | 0.669819 | − | 0.386720i | ||||
\(766\) | 1.46410 | 0.0529001 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −37.9808 | + | 21.9282i | −1.36962 | + | 0.790751i | −0.990879 | − | 0.134751i | \(-0.956977\pi\) |
−0.378742 | + | 0.925502i | \(0.623643\pi\) | |||||||
\(770\) | 6.46410 | + | 11.1962i | 0.232950 | + | 0.403481i | ||||
\(771\) | 4.66987 | − | 8.08846i | 0.168181 | − | 0.291299i | ||||
\(772\) | − | 11.7321i | − | 0.422246i | ||||||
\(773\) | 42.3731 | + | 24.4641i | 1.52405 | + | 0.879913i | 0.999594 | + | 0.0284768i | \(0.00906566\pi\) |
0.524459 | + | 0.851436i | \(0.324268\pi\) | |||||||
\(774\) | −8.36603 | − | 4.83013i | −0.300711 | − | 0.173615i | ||||
\(775\) | − | 13.0718i | − | 0.469553i | ||||||
\(776\) | 3.00000 | − | 5.19615i | 0.107694 | − | 0.186531i | ||||
\(777\) | −4.83013 | − | 8.36603i | −0.173280 | − | 0.300129i | ||||
\(778\) | −10.2058 | + | 5.89230i | −0.365895 | + | 0.211249i | ||||
\(779\) | 44.4449 | 1.59240 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.00000 | 0.214697 | ||||||||
\(782\) | −20.8301 | + | 12.0263i | −0.744884 | + | 0.430059i | ||||
\(783\) | 2.23205 | + | 3.86603i | 0.0797670 | + | 0.138160i | ||||
\(784\) | 0.232051 | − | 0.401924i | 0.00828753 | − | 0.0143544i | ||||
\(785\) | 28.3205i | 1.01080i | ||||||||
\(786\) | −5.66025 | − | 3.26795i | −0.201895 | − | 0.116564i | ||||
\(787\) | 4.05256 | + | 2.33975i | 0.144458 | + | 0.0834029i | 0.570487 | − | 0.821307i | \(-0.306754\pi\) |
−0.426029 | + | 0.904710i | \(0.640088\pi\) | |||||||
\(788\) | 17.8564i | 0.636108i | ||||||||
\(789\) | 5.02628 | − | 8.70577i | 0.178940 | − | 0.309934i | ||||
\(790\) | −4.73205 | − | 8.19615i | −0.168359 | − | 0.291606i | ||||
\(791\) | −3.16987 | + | 1.83013i | −0.112708 | + | 0.0650718i | ||||
\(792\) | −1.26795 | −0.0450546 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 20.3923 | 0.723696 | ||||||||
\(795\) | −20.8923 | + | 12.0622i | −0.740974 | + | 0.427801i | ||||
\(796\) | 7.09808 | + | 12.2942i | 0.251585 | + | 0.435757i | ||||
\(797\) | −17.0000 | + | 29.4449i | −0.602171 | + | 1.04299i | 0.390321 | + | 0.920679i | \(0.372364\pi\) |
−0.992492 | + | 0.122312i | \(0.960969\pi\) | |||||||
\(798\) | − | 12.9282i | − | 0.457653i | ||||||
\(799\) | 10.9019 | + | 6.29423i | 0.385682 | + | 0.222674i | ||||
\(800\) | 7.73205 | + | 4.46410i | 0.273369 | + | 0.157830i | ||||
\(801\) | 9.46410i | 0.334398i | ||||||||
\(802\) | −4.03590 | + | 6.99038i | −0.142513 | + | 0.246839i | ||||
\(803\) | −3.97372 | − | 6.88269i | −0.140230 | − | 0.242885i | ||||
\(804\) | −11.3660 | + | 6.56218i | −0.400849 | + | 0.231430i | ||||
\(805\) | 42.7846 | 1.50796 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.46410 | 0.192345 | ||||||||
\(808\) | 1.66987 | − | 0.964102i | 0.0587459 | − | 0.0339170i | ||||
\(809\) | 26.7942 | + | 46.4090i | 0.942035 | + | 1.63165i | 0.761582 | + | 0.648069i | \(0.224423\pi\) |
0.180453 | + | 0.983584i | \(0.442244\pi\) | |||||||
\(810\) | 1.86603 | − | 3.23205i | 0.0655654 | − | 0.113563i | ||||
\(811\) | 17.1769i | 0.603163i | 0.953440 | + | 0.301582i | \(0.0975145\pi\) | ||||
−0.953440 | + | 0.301582i | \(0.902485\pi\) | |||||||
\(812\) | −10.5622 | − | 6.09808i | −0.370660 | − | 0.214001i | ||||
\(813\) | −18.9282 | − | 10.9282i | −0.663841 | − | 0.383269i | ||||
\(814\) | − | 4.48334i | − | 0.157141i | ||||||
\(815\) | 25.1244 | − | 43.5167i | 0.880068 | − | 1.52432i | ||||
\(816\) | −2.86603 | − | 4.96410i | −0.100331 | − | 0.173778i | ||||
\(817\) | 39.5885 | − | 22.8564i | 1.38502 | − | 0.799644i | ||||
\(818\) | −17.7321 | −0.619987 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −35.0526 | −1.22409 | ||||||||
\(821\) | −0.803848 | + | 0.464102i | −0.0280545 | + | 0.0161973i | −0.513962 | − | 0.857813i | \(-0.671823\pi\) |
0.485907 | + | 0.874010i | \(0.338489\pi\) | |||||||
\(822\) | −5.96410 | − | 10.3301i | −0.208022 | − | 0.360305i | ||||
\(823\) | 20.7846 | − | 36.0000i | 0.724506 | − | 1.25488i | −0.234671 | − | 0.972075i | \(-0.575401\pi\) |
0.959177 | − | 0.282806i | \(-0.0912654\pi\) | |||||||
\(824\) | − | 15.2679i | − | 0.531884i | ||||||
\(825\) | −9.80385 | − | 5.66025i | −0.341326 | − | 0.197065i | ||||
\(826\) | −18.9282 | − | 10.9282i | −0.658596 | − | 0.380241i | ||||
\(827\) | − | 26.5359i | − | 0.922744i | −0.887207 | − | 0.461372i | \(-0.847357\pi\) | ||
0.887207 | − | 0.461372i | \(-0.152643\pi\) | |||||||
\(828\) | −2.09808 | + | 3.63397i | −0.0729132 | + | 0.126289i | ||||
\(829\) | −6.06218 | − | 10.5000i | −0.210548 | − | 0.364680i | 0.741338 | − | 0.671132i | \(-0.234192\pi\) |
−0.951886 | + | 0.306452i | \(0.900858\pi\) | |||||||
\(830\) | 0.633975 | − | 0.366025i | 0.0220056 | − | 0.0127049i | ||||
\(831\) | 5.73205 | 0.198843 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.66025 | −0.0921723 | ||||||||
\(834\) | 15.4641 | − | 8.92820i | 0.535478 | − | 0.309158i | ||||
\(835\) | 17.6603 | + | 30.5885i | 0.611158 | + | 1.05856i | ||||
\(836\) | 3.00000 | − | 5.19615i | 0.103757 | − | 0.179713i | ||||
\(837\) | 1.46410i | 0.0506068i | ||||||||
\(838\) | 15.1244 | + | 8.73205i | 0.522462 | + | 0.301644i | ||||
\(839\) | 36.2487 | + | 20.9282i | 1.25144 | + | 0.722522i | 0.971396 | − | 0.237464i | \(-0.0763162\pi\) |
0.280048 | + | 0.959986i | \(0.409650\pi\) | |||||||
\(840\) | 10.1962i | 0.351801i | ||||||||
\(841\) | 4.53590 | − | 7.85641i | 0.156410 | − | 0.270911i | ||||
\(842\) | −11.3564 | − | 19.6699i | −0.391368 | − | 0.677869i | ||||
\(843\) | −10.6699 | + | 6.16025i | −0.367490 | + | 0.212170i | ||||
\(844\) | −16.3923 | −0.564246 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 2.19615 | 0.0755053 | ||||||||
\(847\) | 22.2224 | − | 12.8301i | 0.763572 | − | 0.440848i | ||||
\(848\) | 3.23205 | + | 5.59808i | 0.110989 | + | 0.192239i | ||||
\(849\) | 12.8301 | − | 22.2224i | 0.440329 | − | 0.762672i | ||||
\(850\) | − | 51.1769i | − | 1.75535i | ||||||
\(851\) | −12.8494 | − | 7.41858i | −0.440471 | − | 0.254306i | ||||
\(852\) | 4.09808 | + | 2.36603i | 0.140398 | + | 0.0810587i | ||||
\(853\) | 54.1769i | 1.85498i | 0.373845 | + | 0.927491i | \(0.378039\pi\) | ||||
−0.373845 | + | 0.927491i | \(0.621961\pi\) | |||||||
\(854\) | −12.5622 | + | 21.7583i | −0.429869 | + | 0.744555i | ||||
\(855\) | 8.83013 | + | 15.2942i | 0.301984 | + | 0.523052i | ||||
\(856\) | −8.83013 | + | 5.09808i | −0.301808 | + | 0.174249i | ||||
\(857\) | −39.4449 | −1.34741 | −0.673705 | − | 0.739000i | \(-0.735298\pi\) | ||||
−0.673705 | + | 0.739000i | \(0.735298\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −47.1244 | −1.60786 | −0.803931 | − | 0.594722i | \(-0.797262\pi\) | ||||
−0.803931 | + | 0.594722i | \(0.797262\pi\) | |||||||
\(860\) | −31.2224 | + | 18.0263i | −1.06468 | + | 0.614691i | ||||
\(861\) | −12.8301 | − | 22.2224i | −0.437250 | − | 0.757338i | ||||
\(862\) | 6.56218 | − | 11.3660i | 0.223509 | − | 0.387128i | ||||
\(863\) | − | 17.1244i | − | 0.582920i | −0.956583 | − | 0.291460i | \(-0.905859\pi\) | ||
0.956583 | − | 0.291460i | \(-0.0941410\pi\) | |||||||
\(864\) | −0.866025 | − | 0.500000i | −0.0294628 | − | 0.0170103i | ||||
\(865\) | 14.1962 | + | 8.19615i | 0.482684 | + | 0.278678i | ||||
\(866\) | − | 12.8564i | − | 0.436878i | ||||||
\(867\) | −7.92820 | + | 13.7321i | −0.269256 | + | 0.466365i | ||||
\(868\) | −2.00000 | − | 3.46410i | −0.0678844 | − | 0.117579i | ||||
\(869\) | 2.78461 | − | 1.60770i | 0.0944614 | − | 0.0545373i | ||||
\(870\) | 16.6603 | 0.564836 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 1.46410 | 0.0495807 | ||||||||
\(873\) | −5.19615 | + | 3.00000i | −0.175863 | + | 0.101535i | ||||
\(874\) | −9.92820 | − | 17.1962i | −0.335826 | − | 0.581669i | ||||
\(875\) | −20.0263 | + | 34.6865i | −0.677012 | + | 1.17262i | ||||
\(876\) | − | 6.26795i | − | 0.211774i | ||||||
\(877\) | −20.7224 | − | 11.9641i | −0.699747 | − | 0.403999i | 0.107506 | − | 0.994204i | \(-0.465713\pi\) |
−0.807253 | + | 0.590205i | \(0.799047\pi\) | |||||||
\(878\) | −0.294229 | − | 0.169873i | −0.00992974 | − | 0.00573294i | ||||
\(879\) | − | 30.5167i | − | 1.02930i | ||||||
\(880\) | −2.36603 | + | 4.09808i | −0.0797587 | + | 0.138146i | ||||
\(881\) | −13.9186 | − | 24.1077i | −0.468929 | − | 0.812209i | 0.530440 | − | 0.847722i | \(-0.322027\pi\) |
−0.999369 | + | 0.0355135i | \(0.988693\pi\) | |||||||
\(882\) | −0.401924 | + | 0.232051i | −0.0135335 | + | 0.00781356i | ||||
\(883\) | −42.9282 | −1.44465 | −0.722325 | − | 0.691554i | \(-0.756926\pi\) | ||||
−0.722325 | + | 0.691554i | \(0.756926\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 29.8564 | 1.00361 | ||||||||
\(886\) | 13.5167 | − | 7.80385i | 0.454101 | − | 0.262175i | ||||
\(887\) | −18.9282 | − | 32.7846i | −0.635547 | − | 1.10080i | −0.986399 | − | 0.164369i | \(-0.947441\pi\) |
0.350852 | − | 0.936431i | \(-0.385892\pi\) | |||||||
\(888\) | 1.76795 | − | 3.06218i | 0.0593285 | − | 0.102760i | ||||
\(889\) | 26.9282i | 0.903143i | ||||||||
\(890\) | 30.5885 | + | 17.6603i | 1.02533 | + | 0.591973i | ||||
\(891\) | 1.09808 | + | 0.633975i | 0.0367869 | + | 0.0212389i | ||||
\(892\) | 26.9282i | 0.901623i | ||||||||
\(893\) | −5.19615 | + | 9.00000i | −0.173883 | + | 0.301174i | ||||
\(894\) | 6.59808 | + | 11.4282i | 0.220673 | + | 0.382216i | ||||
\(895\) | 51.8827 | − | 29.9545i | 1.73425 | − | 1.00127i | ||||
\(896\) | 2.73205 | 0.0912714 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.3205 | 0.377770 | ||||||||
\(899\) | −5.66025 | + | 3.26795i | −0.188780 | + | 0.108992i | ||||
\(900\) | −4.46410 | − | 7.73205i | −0.148803 | − | 0.257735i | ||||
\(901\) | 18.5263 | − | 32.0885i | 0.617200 | − | 1.06902i | ||||
\(902\) | − | 11.9090i | − | 0.396525i | ||||||
\(903\) | −22.8564 | − | 13.1962i | −0.760614 | − | 0.439140i | ||||
\(904\) | −1.16025 | − | 0.669873i | −0.0385895 | − | 0.0222796i | ||||
\(905\) | − | 71.6410i | − | 2.38143i | ||||||
\(906\) | −3.36603 | + | 5.83013i | −0.111829 | + | 0.193693i | ||||
\(907\) | 18.1962 | + | 31.5167i | 0.604193 | + | 1.04649i | 0.992178 | + | 0.124828i | \(0.0398379\pi\) |
−0.387985 | + | 0.921666i | \(0.626829\pi\) | |||||||
\(908\) | 10.5622 | − | 6.09808i | 0.350518 | − | 0.202372i | ||||
\(909\) | −1.92820 | −0.0639545 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.53590 | −0.0840181 | −0.0420090 | − | 0.999117i | \(-0.513376\pi\) | ||||
−0.0420090 | + | 0.999117i | \(0.513376\pi\) | |||||||
\(912\) | 4.09808 | − | 2.36603i | 0.135701 | − | 0.0783469i | ||||
\(913\) | 0.124356 | + | 0.215390i | 0.00411557 | + | 0.00712838i | ||||
\(914\) | 0.669873 | − | 1.16025i | 0.0221574 | − | 0.0383778i | ||||
\(915\) | − | 34.3205i | − | 1.13460i | ||||||
\(916\) | 10.2679 | + | 5.92820i | 0.339263 | + | 0.195873i | ||||
\(917\) | −15.4641 | − | 8.92820i | −0.510670 | − | 0.294835i | ||||
\(918\) | 5.73205i | 0.189186i | ||||||||
\(919\) | −22.9808 | + | 39.8038i | −0.758065 | + | 1.31301i | 0.185770 | + | 0.982593i | \(0.440522\pi\) |
−0.943836 | + | 0.330415i | \(0.892811\pi\) | |||||||
\(920\) | 7.83013 | + | 13.5622i | 0.258152 | + | 0.447132i | ||||
\(921\) | 19.5622 | − | 11.2942i | 0.644596 | − | 0.372157i | ||||
\(922\) | −22.2679 | −0.733356 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −3.46410 | −0.113961 | ||||||||
\(925\) | 27.3397 | − | 15.7846i | 0.898925 | − | 0.518995i | ||||
\(926\) | −5.02628 | − | 8.70577i | −0.165174 | − | 0.286089i | ||||
\(927\) | −7.63397 | + | 13.2224i | −0.250733 | + | 0.434282i | ||||
\(928\) | − | 4.46410i | − | 0.146541i | ||||||
\(929\) | 33.9904 | + | 19.6244i | 1.11519 | + | 0.643854i | 0.940168 | − | 0.340711i | \(-0.110668\pi\) |
0.175020 | + | 0.984565i | \(0.444001\pi\) | |||||||
\(930\) | 4.73205 | + | 2.73205i | 0.155170 | + | 0.0895875i | ||||
\(931\) | − | 2.19615i | − | 0.0719760i | ||||||
\(932\) | 3.92820 | − | 6.80385i | 0.128673 | − | 0.222867i | ||||
\(933\) | −0.830127 | − | 1.43782i | −0.0271771 | − | 0.0470722i | ||||
\(934\) | −16.0981 | + | 9.29423i | −0.526745 | + | 0.304116i | ||||
\(935\) | 27.1244 | 0.887061 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.24871 | −0.171468 | −0.0857340 | − | 0.996318i | \(-0.527324\pi\) | ||||
−0.0857340 | + | 0.996318i | \(0.527324\pi\) | |||||||
\(938\) | −31.0526 | + | 17.9282i | −1.01390 | + | 0.585377i | ||||
\(939\) | −3.26795 | − | 5.66025i | −0.106645 | − | 0.184715i | ||||
\(940\) | 4.09808 | − | 7.09808i | 0.133665 | − | 0.231514i | ||||
\(941\) | 12.6410i | 0.412085i | 0.978543 | + | 0.206043i | \(0.0660586\pi\) | ||||
−0.978543 | + | 0.206043i | \(0.933941\pi\) | |||||||
\(942\) | −6.57180 | − | 3.79423i | −0.214121 | − | 0.123623i | ||||
\(943\) | −34.1314 | − | 19.7058i | −1.11147 | − | 0.641708i | ||||
\(944\) | − | 8.00000i | − | 0.260378i | ||||||
\(945\) | 5.09808 | − | 8.83013i | 0.165840 | − | 0.287244i | ||||
\(946\) | −6.12436 | − | 10.6077i | −0.199120 | − | 0.344886i | ||||
\(947\) | −18.2487 | + | 10.5359i | −0.593003 | + | 0.342371i | −0.766284 | − | 0.642502i | \(-0.777897\pi\) |
0.173281 | + | 0.984872i | \(0.444563\pi\) | |||||||
\(948\) | 2.53590 | 0.0823622 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 42.2487 | 1.37073 | ||||||||
\(951\) | 17.8923 | − | 10.3301i | 0.580198 | − | 0.334977i | ||||
\(952\) | −7.83013 | − | 13.5622i | −0.253776 | − | 0.439553i | ||||
\(953\) | 20.7846 | − | 36.0000i | 0.673280 | − | 1.16615i | −0.303689 | − | 0.952771i | \(-0.598218\pi\) |
0.976969 | − | 0.213383i | \(-0.0684483\pi\) | |||||||
\(954\) | − | 6.46410i | − | 0.209283i | ||||||
\(955\) | 22.3923 | + | 12.9282i | 0.724598 | + | 0.418347i | ||||
\(956\) | 6.63397 | + | 3.83013i | 0.214558 | + | 0.123875i | ||||
\(957\) | 5.66025i | 0.182970i | ||||||||
\(958\) | −16.7321 | + | 28.9808i | −0.540588 | + | 0.936326i | ||||
\(959\) | −16.2942 | − | 28.2224i | −0.526168 | − | 0.911350i | ||||
\(960\) | −3.23205 | + | 1.86603i | −0.104314 | + | 0.0602257i | ||||
\(961\) | 28.8564 | 0.930852 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 10.1962 | 0.328566 | ||||||||
\(964\) | 11.7679 | − | 6.79423i | 0.379020 | − | 0.218827i | ||||
\(965\) | 21.8923 | + | 37.9186i | 0.704738 | + | 1.22064i | ||||
\(966\) | −5.73205 | + | 9.92820i | −0.184426 | + | 0.319435i | ||||
\(967\) | − | 43.1244i | − | 1.38679i | −0.720560 | − | 0.693393i | \(-0.756115\pi\) | ||
0.720560 | − | 0.693393i | \(-0.243885\pi\) | |||||||
\(968\) | 8.13397 | + | 4.69615i | 0.261436 | + | 0.150940i | ||||
\(969\) | −23.4904 | − | 13.5622i | −0.754620 | − | 0.435680i | ||||
\(970\) | 22.3923i | 0.718974i | ||||||||
\(971\) | −15.1244 | + | 26.1962i | −0.485364 | + | 0.840675i | −0.999859 | − | 0.0168189i | \(-0.994646\pi\) |
0.514495 | + | 0.857493i | \(0.327979\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 42.2487 | − | 24.3923i | 1.35443 | − | 0.781981i | ||||
\(974\) | 3.12436 | 0.100111 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.19615 | −0.294362 | ||||||||
\(977\) | 39.7750 | − | 22.9641i | 1.27251 | − | 0.734687i | 0.297054 | − | 0.954861i | \(-0.403996\pi\) |
0.975461 | + | 0.220174i | \(0.0706625\pi\) | |||||||
\(978\) | 6.73205 | + | 11.6603i | 0.215267 | + | 0.372854i | ||||
\(979\) | −6.00000 | + | 10.3923i | −0.191761 | + | 0.332140i | ||||
\(980\) | 1.73205i | 0.0553283i | ||||||||
\(981\) | −1.26795 | − | 0.732051i | −0.0404825 | − | 0.0233726i | ||||
\(982\) | 7.56218 | + | 4.36603i | 0.241319 | + | 0.139325i | ||||
\(983\) | − | 20.7846i | − | 0.662926i | −0.943468 | − | 0.331463i | \(-0.892458\pi\) | ||
0.943468 | − | 0.331463i | \(-0.107542\pi\) | |||||||
\(984\) | 4.69615 | − | 8.13397i | 0.149708 | − | 0.259302i | ||||
\(985\) | −33.3205 | − | 57.7128i | −1.06168 | − | 1.83888i | ||||
\(986\) | −22.1603 | + | 12.7942i | −0.705726 | + | 0.407451i | ||||
\(987\) | 6.00000 | 0.190982 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −40.5359 | −1.28897 | ||||||||
\(990\) | 4.09808 | − | 2.36603i | 0.130245 | − | 0.0751972i | ||||
\(991\) | −11.2942 | − | 19.5622i | −0.358773 | − | 0.621413i | 0.628983 | − | 0.777419i | \(-0.283471\pi\) |
−0.987756 | + | 0.156006i | \(0.950138\pi\) | |||||||
\(992\) | 0.732051 | − | 1.26795i | 0.0232426 | − | 0.0402574i | ||||
\(993\) | 20.0000i | 0.634681i | ||||||||
\(994\) | 11.1962 | + | 6.46410i | 0.355120 | + | 0.205029i | ||||
\(995\) | −45.8827 | − | 26.4904i | −1.45458 | − | 0.839802i | ||||
\(996\) | 0.196152i | 0.00621533i | ||||||||
\(997\) | −10.6699 | + | 18.4808i | −0.337918 | + | 0.585292i | −0.984041 | − | 0.177942i | \(-0.943056\pi\) |
0.646123 | + | 0.763234i | \(0.276389\pi\) | |||||||
\(998\) | 16.0000 | + | 27.7128i | 0.506471 | + | 0.877234i | ||||
\(999\) | −3.06218 | + | 1.76795i | −0.0968830 | + | 0.0559354i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))