Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 649.1 | ||
Root | \(0.984808 - 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.o.82.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.300767 | + | 1.70574i | −0.212675 | + | 1.20614i | 0.672222 | + | 0.740350i | \(0.265340\pi\) |
−0.884896 | + | 0.465788i | \(0.845771\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 1.32683 | − | 1.11334i | 0.593375 | − | 0.497901i | −0.295933 | − | 0.955209i | \(-0.595631\pi\) |
0.889309 | + | 0.457308i | \(0.151186\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.87939 | + | 0.684040i | −0.710341 | + | 0.258543i | −0.671820 | − | 0.740715i | \(-0.734487\pi\) |
−0.0385213 | + | 0.999258i | \(0.512265\pi\) | |||||||
\(8\) | −0.866025 | + | 1.50000i | −0.306186 | + | 0.530330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50000 | + | 2.59808i | 0.474342 | + | 0.821584i | ||||
\(11\) | 2.65366 | + | 2.22668i | 0.800107 | + | 0.671370i | 0.948225 | − | 0.317600i | \(-0.102877\pi\) |
−0.148117 | + | 0.988970i | \(0.547321\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.173648 | − | 0.984808i | −0.0481613 | − | 0.273137i | 0.951212 | − | 0.308539i | \(-0.0998399\pi\) |
−0.999373 | + | 0.0354021i | \(0.988729\pi\) | |||||||
\(14\) | −0.601535 | − | 3.41147i | −0.160767 | − | 0.911755i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.83022 | − | 3.21394i | −0.957556 | − | 0.803485i | ||||
\(17\) | 2.59808 | + | 4.50000i | 0.630126 | + | 1.09141i | 0.987526 | + | 0.157459i | \(0.0503301\pi\) |
−0.357400 | + | 0.933952i | \(0.616337\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | + | 1.73205i | −0.229416 | + | 0.397360i | −0.957635 | − | 0.287984i | \(-0.907015\pi\) |
0.728219 | + | 0.685344i | \(0.240348\pi\) | |||||||
\(20\) | −1.62760 | + | 0.592396i | −0.363941 | + | 0.132464i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.59627 | + | 3.85673i | −0.979927 | + | 0.822257i | ||||
\(23\) | 3.25519 | + | 1.18479i | 0.678754 | + | 0.247046i | 0.658313 | − | 0.752745i | \(-0.271271\pi\) |
0.0204417 | + | 0.999791i | \(0.493493\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.347296 | + | 1.96962i | −0.0694593 | + | 0.393923i | ||||
\(26\) | 1.73205 | 0.339683 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.00000 | 0.377964 | ||||||||
\(29\) | −0.300767 | + | 1.70574i | −0.0558511 | + | 0.316747i | −0.999915 | − | 0.0130143i | \(-0.995857\pi\) |
0.944064 | + | 0.329762i | \(0.106968\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.51754 | − | 2.73616i | −1.35019 | − | 0.491429i | −0.437183 | − | 0.899373i | \(-0.644024\pi\) |
−0.913007 | + | 0.407944i | \(0.866246\pi\) | |||||||
\(32\) | 3.98048 | − | 3.34002i | 0.703657 | − | 0.590438i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.45723 | + | 3.07818i | −1.45040 | + | 0.527904i | ||||
\(35\) | −1.73205 | + | 3.00000i | −0.292770 | + | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.50000 | + | 6.06218i | 0.575396 | + | 0.996616i | 0.995998 | + | 0.0893706i | \(0.0284856\pi\) |
−0.420602 | + | 0.907245i | \(0.638181\pi\) | |||||||
\(38\) | −2.65366 | − | 2.22668i | −0.430480 | − | 0.361215i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.520945 | + | 2.95442i | 0.0823686 | + | 0.467135i | ||||
\(41\) | 1.20307 | + | 6.82295i | 0.187888 | + | 1.06557i | 0.922188 | + | 0.386741i | \(0.126399\pi\) |
−0.734300 | + | 0.678825i | \(0.762490\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.53209 | + | 1.28558i | 0.233641 | + | 0.196048i | 0.752090 | − | 0.659060i | \(-0.229046\pi\) |
−0.518449 | + | 0.855109i | \(0.673490\pi\) | |||||||
\(44\) | −1.73205 | − | 3.00000i | −0.261116 | − | 0.452267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.00000 | + | 5.19615i | −0.442326 | + | 0.766131i | ||||
\(47\) | 6.51038 | − | 2.36959i | 0.949637 | − | 0.345640i | 0.179672 | − | 0.983726i | \(-0.442496\pi\) |
0.769964 | + | 0.638087i | \(0.220274\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.29813 | + | 1.92836i | −0.328305 | + | 0.275480i | ||||
\(50\) | −3.25519 | − | 1.18479i | −0.460353 | − | 0.167555i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.173648 | + | 0.984808i | −0.0240807 | + | 0.136568i | ||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.00000 | 0.809040 | ||||||||
\(56\) | 0.601535 | − | 3.41147i | 0.0803835 | − | 0.455877i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.81908 | − | 1.02606i | −0.370163 | − | 0.134728i | ||||
\(59\) | −10.6146 | + | 8.90673i | −1.38191 | + | 1.15956i | −0.413405 | + | 0.910547i | \(0.635661\pi\) |
−0.968501 | + | 0.249010i | \(0.919895\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.57785 | − | 2.39414i | 0.842207 | − | 0.306538i | 0.115348 | − | 0.993325i | \(-0.463202\pi\) |
0.726859 | + | 0.686787i | \(0.240979\pi\) | |||||||
\(62\) | 6.92820 | − | 12.0000i | 0.879883 | − | 1.52400i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.32683 | − | 1.11334i | −0.164573 | − | 0.138093i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.73648 | − | 9.84808i | −0.212145 | − | 1.20313i | −0.885793 | − | 0.464081i | \(-0.846385\pi\) |
0.673648 | − | 0.739053i | \(-0.264727\pi\) | |||||||
\(68\) | −0.902302 | − | 5.11721i | −0.109420 | − | 0.620553i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.59627 | − | 3.85673i | −0.549359 | − | 0.460967i | ||||
\(71\) | −5.19615 | − | 9.00000i | −0.616670 | − | 1.06810i | −0.990089 | − | 0.140441i | \(-0.955148\pi\) |
0.373419 | − | 0.927663i | \(-0.378185\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | − | 6.06218i | 0.409644 | − | 0.709524i | −0.585206 | − | 0.810885i | \(-0.698986\pi\) |
0.994850 | + | 0.101361i | \(0.0323196\pi\) | |||||||
\(74\) | −11.3932 | + | 4.14677i | −1.32443 | + | 0.482053i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.53209 | − | 1.28558i | 0.175743 | − | 0.147466i | ||||
\(77\) | −6.51038 | − | 2.36959i | −0.741927 | − | 0.270039i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.347296 | − | 1.96962i | 0.0390739 | − | 0.221599i | −0.959018 | − | 0.283345i | \(-0.908556\pi\) |
0.998092 | + | 0.0617461i | \(0.0196669\pi\) | |||||||
\(80\) | −8.66025 | −0.968246 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.0000 | −1.32518 | ||||||||
\(83\) | 2.40614 | − | 13.6459i | 0.264108 | − | 1.49783i | −0.507455 | − | 0.861678i | \(-0.669413\pi\) |
0.771563 | − | 0.636153i | \(-0.219475\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.45723 | + | 3.07818i | 0.917316 | + | 0.333876i | ||||
\(86\) | −2.65366 | + | 2.22668i | −0.286151 | + | 0.240109i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.63816 | + | 2.05212i | −0.601029 | + | 0.218757i | ||||
\(89\) | −2.59808 | + | 4.50000i | −0.275396 | + | 0.476999i | −0.970235 | − | 0.242166i | \(-0.922142\pi\) |
0.694839 | + | 0.719165i | \(0.255475\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | + | 1.73205i | 0.104828 | + | 0.181568i | ||||
\(92\) | −2.65366 | − | 2.22668i | −0.276663 | − | 0.232148i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.08378 | + | 11.8177i | 0.214925 | + | 1.21890i | ||||
\(95\) | 0.601535 | + | 3.41147i | 0.0617162 | + | 0.350010i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.53209 | + | 1.28558i | 0.155560 | + | 0.130530i | 0.717246 | − | 0.696820i | \(-0.245403\pi\) |
−0.561686 | + | 0.827351i | \(0.689847\pi\) | |||||||
\(98\) | −2.59808 | − | 4.50000i | −0.262445 | − | 0.454569i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | − | 1.73205i | 0.100000 | − | 0.173205i | ||||
\(101\) | 6.51038 | − | 2.36959i | 0.647807 | − | 0.235783i | 0.00284373 | − | 0.999996i | \(-0.499095\pi\) |
0.644963 | + | 0.764213i | \(0.276873\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.12836 | − | 5.14230i | 0.603845 | − | 0.506686i | −0.288834 | − | 0.957379i | \(-0.593268\pi\) |
0.892679 | + | 0.450693i | \(0.148823\pi\) | |||||||
\(104\) | 1.62760 | + | 0.592396i | 0.159599 | + | 0.0580892i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.0000 | 1.05361 | 0.526804 | − | 0.849987i | \(-0.323390\pi\) | ||||
0.526804 | + | 0.849987i | \(0.323390\pi\) | |||||||
\(110\) | −1.80460 | + | 10.2344i | −0.172062 | + | 0.975814i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.39693 | + | 3.42020i | 0.887926 | + | 0.323179i | ||||
\(113\) | 1.32683 | − | 1.11334i | 0.124817 | − | 0.104734i | −0.578242 | − | 0.815865i | \(-0.696261\pi\) |
0.703060 | + | 0.711131i | \(0.251817\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.63816 | − | 2.05212i | 0.525761 | − | 0.191361i | ||||
\(116\) | 0.866025 | − | 1.50000i | 0.0804084 | − | 0.139272i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.0000 | − | 20.7846i | −1.10469 | − | 1.91338i | ||||
\(119\) | −7.96097 | − | 6.68004i | −0.729781 | − | 0.612359i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.173648 | + | 0.984808i | 0.0157862 | + | 0.0895280i | ||||
\(122\) | 2.10537 | + | 11.9402i | 0.190611 | + | 1.08101i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.12836 | + | 5.14230i | 0.550343 | + | 0.461792i | ||||
\(125\) | 6.06218 | + | 10.5000i | 0.542218 | + | 0.939149i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.00000 | + | 1.73205i | −0.0887357 | + | 0.153695i | −0.906977 | − | 0.421180i | \(-0.861616\pi\) |
0.818241 | + | 0.574875i | \(0.194949\pi\) | |||||||
\(128\) | 11.3932 | − | 4.14677i | 1.00702 | − | 0.366526i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.29813 | − | 1.92836i | 0.201560 | − | 0.169129i | ||||
\(131\) | 3.25519 | + | 1.18479i | 0.284407 | + | 0.103516i | 0.480285 | − | 0.877113i | \(-0.340533\pi\) |
−0.195878 | + | 0.980628i | \(0.562756\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.694593 | − | 3.93923i | 0.0602288 | − | 0.341575i | ||||
\(134\) | 17.3205 | 1.49626 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.00000 | −0.771744 | ||||||||
\(137\) | −0.300767 | + | 1.70574i | −0.0256963 | + | 0.145731i | −0.994957 | − | 0.100307i | \(-0.968018\pi\) |
0.969260 | + | 0.246038i | \(0.0791287\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.51754 | − | 2.73616i | −0.637630 | − | 0.232078i | 0.00291916 | − | 0.999996i | \(-0.499071\pi\) |
−0.640549 | + | 0.767918i | \(0.721293\pi\) | |||||||
\(140\) | 2.65366 | − | 2.22668i | 0.224275 | − | 0.188189i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 16.9145 | − | 6.15636i | 1.41943 | − | 0.516630i | ||||
\(143\) | 1.73205 | − | 3.00000i | 0.144841 | − | 0.250873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.50000 | + | 2.59808i | 0.124568 | + | 0.215758i | ||||
\(146\) | 9.28780 | + | 7.79339i | 0.768663 | + | 0.644985i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.21554 | − | 6.89365i | −0.0999165 | − | 0.566655i | ||||
\(149\) | −1.50384 | − | 8.52869i | −0.123199 | − | 0.698697i | −0.982361 | − | 0.186993i | \(-0.940126\pi\) |
0.859162 | − | 0.511704i | \(-0.170985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.3209 | + | 12.8558i | 1.24680 | + | 1.04619i | 0.996961 | + | 0.0778978i | \(0.0248208\pi\) |
0.249835 | + | 0.968288i | \(0.419624\pi\) | |||||||
\(152\) | −1.73205 | − | 3.00000i | −0.140488 | − | 0.243332i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.00000 | − | 10.3923i | 0.483494 | − | 0.837436i | ||||
\(155\) | −13.0208 | + | 4.73917i | −1.04585 | + | 0.380659i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.0228 | − | 10.9274i | 1.03933 | − | 0.872101i | 0.0473976 | − | 0.998876i | \(-0.484907\pi\) |
0.991931 | + | 0.126775i | \(0.0404628\pi\) | |||||||
\(158\) | 3.25519 | + | 1.18479i | 0.258969 | + | 0.0942570i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.56283 | − | 8.86327i | 0.123553 | − | 0.700703i | ||||
\(161\) | −6.92820 | −0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0000 | −1.25322 | −0.626608 | − | 0.779334i | \(-0.715557\pi\) | ||||
−0.626608 | + | 0.779334i | \(0.715557\pi\) | |||||||
\(164\) | 1.20307 | − | 6.82295i | 0.0939440 | − | 0.532783i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 22.5526 | + | 8.20848i | 1.75042 | + | 0.637102i | ||||
\(167\) | 13.2683 | − | 11.1334i | 1.02673 | − | 0.861529i | 0.0362720 | − | 0.999342i | \(-0.488452\pi\) |
0.990458 | + | 0.137813i | \(0.0440073\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.2763 | − | 4.10424i | 0.867409 | − | 0.315711i | ||||
\(170\) | −7.79423 | + | 13.5000i | −0.597790 | + | 1.03540i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | − | 1.73205i | −0.0762493 | − | 0.132068i | ||||
\(173\) | 14.5951 | + | 12.2467i | 1.10965 | + | 0.931103i | 0.998036 | − | 0.0626490i | \(-0.0199549\pi\) |
0.111610 | + | 0.993752i | \(0.464399\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.694593 | − | 3.93923i | −0.0525063 | − | 0.297778i | ||||
\(176\) | −3.00767 | − | 17.0574i | −0.226712 | − | 1.28575i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.89440 | − | 5.78509i | −0.516757 | − | 0.433611i | ||||
\(179\) | 10.3923 | + | 18.0000i | 0.776757 | + | 1.34538i | 0.933801 | + | 0.357792i | \(0.116470\pi\) |
−0.157044 | + | 0.987592i | \(0.550196\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00000 | + | 1.73205i | −0.0743294 | + | 0.128742i | −0.900794 | − | 0.434246i | \(-0.857015\pi\) |
0.826465 | + | 0.562988i | \(0.190348\pi\) | |||||||
\(182\) | −3.25519 | + | 1.18479i | −0.241291 | + | 0.0878227i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.59627 | + | 3.85673i | −0.338841 | + | 0.284322i | ||||
\(185\) | 11.3932 | + | 4.14677i | 0.837642 | + | 0.304877i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.12567 | + | 17.7265i | −0.228571 | + | 1.29629i | ||||
\(188\) | −6.92820 | −0.505291 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | −3.00767 | + | 17.0574i | −0.217628 | + | 1.23423i | 0.658660 | + | 0.752440i | \(0.271123\pi\) |
−0.876288 | + | 0.481788i | \(0.839988\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.939693 | + | 0.342020i | 0.0676406 | + | 0.0246191i | 0.375619 | − | 0.926774i | \(-0.377430\pi\) |
−0.307978 | + | 0.951393i | \(0.599652\pi\) | |||||||
\(194\) | −2.65366 | + | 2.22668i | −0.190521 | + | 0.159866i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.81908 | − | 1.02606i | 0.201363 | − | 0.0732900i | ||||
\(197\) | −2.59808 | + | 4.50000i | −0.185105 | + | 0.320612i | −0.943612 | − | 0.331053i | \(-0.892596\pi\) |
0.758507 | + | 0.651665i | \(0.225929\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.0000 | − | 17.3205i | −0.708881 | − | 1.22782i | −0.965272 | − | 0.261245i | \(-0.915867\pi\) |
0.256391 | − | 0.966573i | \(-0.417466\pi\) | |||||||
\(200\) | −2.65366 | − | 2.22668i | −0.187642 | − | 0.157450i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.08378 | + | 11.8177i | 0.146614 | + | 0.831490i | ||||
\(203\) | −0.601535 | − | 3.41147i | −0.0422195 | − | 0.239439i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.19253 | + | 7.71345i | 0.642034 | + | 0.538731i | ||||
\(206\) | 6.92820 | + | 12.0000i | 0.482711 | + | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.50000 | + | 4.33013i | −0.173344 | + | 0.300240i | ||||
\(209\) | −6.51038 | + | 2.36959i | −0.450333 | + | 0.163908i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.66044 | + | 6.42788i | −0.527367 | + | 0.442513i | −0.867191 | − | 0.497976i | \(-0.834077\pi\) |
0.339824 | + | 0.940489i | \(0.389632\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.46410 | 0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000 | 1.08615 | ||||||||
\(218\) | −3.30844 | + | 18.7631i | −0.224076 | + | 1.27080i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.63816 | − | 2.05212i | −0.380124 | − | 0.138354i | ||||
\(221\) | 3.98048 | − | 3.34002i | 0.267756 | − | 0.224674i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.87939 | + | 0.684040i | −0.125853 | + | 0.0458067i | −0.404179 | − | 0.914680i | \(-0.632443\pi\) |
0.278326 | + | 0.960487i | \(0.410220\pi\) | |||||||
\(224\) | −5.19615 | + | 9.00000i | −0.347183 | + | 0.601338i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.50000 | + | 2.59808i | 0.0997785 | + | 0.172821i | ||||
\(227\) | 2.65366 | + | 2.22668i | 0.176129 | + | 0.147790i | 0.726591 | − | 0.687071i | \(-0.241104\pi\) |
−0.550461 | + | 0.834861i | \(0.685548\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.173648 | − | 0.984808i | −0.0114750 | − | 0.0650779i | 0.978533 | − | 0.206092i | \(-0.0660747\pi\) |
−0.990008 | + | 0.141014i | \(0.954964\pi\) | |||||||
\(230\) | 1.80460 | + | 10.2344i | 0.118992 | + | 0.674838i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.29813 | − | 1.92836i | −0.150880 | − | 0.126603i | ||||
\(233\) | −12.9904 | − | 22.5000i | −0.851028 | − | 1.47402i | −0.880281 | − | 0.474452i | \(-0.842646\pi\) |
0.0292532 | − | 0.999572i | \(-0.490687\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | − | 10.3923i | 0.391397 | − | 0.677919i | ||||
\(236\) | 13.0208 | − | 4.73917i | 0.847579 | − | 0.308494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 13.7888 | − | 11.5702i | 0.893795 | − | 0.749983i | ||||
\(239\) | −26.0415 | − | 9.47834i | −1.68449 | − | 0.613103i | −0.690572 | − | 0.723263i | \(-0.742641\pi\) |
−0.993914 | + | 0.110160i | \(0.964864\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.03580 | − | 28.5594i | 0.324384 | − | 1.83967i | −0.189583 | − | 0.981865i | \(-0.560714\pi\) |
0.513968 | − | 0.857810i | \(-0.328175\pi\) | |||||||
\(242\) | −1.73205 | −0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.00000 | −0.448129 | ||||||||
\(245\) | −0.902302 | + | 5.11721i | −0.0576460 | + | 0.326927i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.87939 | + | 0.684040i | 0.119582 | + | 0.0435244i | ||||
\(248\) | 10.6146 | − | 8.90673i | 0.674029 | − | 0.565578i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −19.7335 | + | 7.18242i | −1.24806 | + | 0.454256i | ||||
\(251\) | 5.19615 | − | 9.00000i | 0.327978 | − | 0.568075i | −0.654132 | − | 0.756380i | \(-0.726966\pi\) |
0.982111 | + | 0.188305i | \(0.0602994\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | + | 10.3923i | 0.377217 | + | 0.653359i | ||||
\(254\) | −2.65366 | − | 2.22668i | −0.166505 | − | 0.139714i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.29932 | + | 18.7113i | 0.206207 | + | 1.16946i | ||||
\(257\) | −1.50384 | − | 8.52869i | −0.0938068 | − | 0.532005i | −0.995106 | − | 0.0988086i | \(-0.968497\pi\) |
0.901300 | − | 0.433196i | \(-0.142614\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.7246 | − | 8.99903i | −0.666396 | − | 0.559172i | ||||
\(260\) | 0.866025 | + | 1.50000i | 0.0537086 | + | 0.0930261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | + | 5.19615i | −0.185341 | + | 0.321019i | ||||
\(263\) | 6.51038 | − | 2.36959i | 0.401447 | − | 0.146115i | −0.133403 | − | 0.991062i | \(-0.542590\pi\) |
0.534850 | + | 0.844947i | \(0.320368\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.51038 | + | 2.36959i | 0.399177 | + | 0.145289i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.73648 | + | 9.84808i | −0.106073 | + | 0.601567i | ||||
\(269\) | 15.5885 | 0.950445 | 0.475223 | − | 0.879866i | \(-0.342368\pi\) | ||||
0.475223 | + | 0.879866i | \(0.342368\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.00000 | 0.121491 | 0.0607457 | − | 0.998153i | \(-0.480652\pi\) | ||||
0.0607457 | + | 0.998153i | \(0.480652\pi\) | |||||||
\(272\) | 4.51151 | − | 25.5861i | 0.273551 | − | 1.55138i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.81908 | − | 1.02606i | −0.170307 | − | 0.0619866i | ||||
\(275\) | −5.30731 | + | 4.45336i | −0.320043 | + | 0.268548i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.87939 | + | 0.684040i | −0.112921 | + | 0.0411000i | −0.397863 | − | 0.917445i | \(-0.630248\pi\) |
0.284942 | + | 0.958545i | \(0.408026\pi\) | |||||||
\(278\) | 6.92820 | − | 12.0000i | 0.415526 | − | 0.719712i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.00000 | − | 5.19615i | −0.179284 | − | 0.310530i | ||||
\(281\) | −9.28780 | − | 7.79339i | −0.554063 | − | 0.464914i | 0.322251 | − | 0.946654i | \(-0.395561\pi\) |
−0.876314 | + | 0.481740i | \(0.840005\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.86215 | − | 27.5746i | −0.289025 | − | 1.63914i | −0.690544 | − | 0.723290i | \(-0.742629\pi\) |
0.401519 | − | 0.915851i | \(-0.368482\pi\) | |||||||
\(284\) | 1.80460 | + | 10.2344i | 0.107084 | + | 0.607301i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.59627 | + | 3.85673i | 0.271783 | + | 0.228053i | ||||
\(287\) | −6.92820 | − | 12.0000i | −0.408959 | − | 0.708338i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.00000 | + | 8.66025i | −0.294118 | + | 0.509427i | ||||
\(290\) | −4.88279 | + | 1.77719i | −0.286727 | + | 0.104360i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.36231 | + | 4.49951i | −0.313806 | + | 0.263314i | ||||
\(293\) | 17.9035 | + | 6.51636i | 1.04594 | + | 0.380690i | 0.807128 | − | 0.590377i | \(-0.201021\pi\) |
0.238809 | + | 0.971067i | \(0.423243\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.16756 | + | 23.6354i | −0.242645 | + | 1.37611i | ||||
\(296\) | −12.1244 | −0.704714 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0000 | 0.868927 | ||||||||
\(299\) | 0.601535 | − | 3.41147i | 0.0347877 | − | 0.197291i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.75877 | − | 1.36808i | −0.216652 | − | 0.0788549i | ||||
\(302\) | −26.5366 | + | 22.2668i | −1.52701 | + | 1.28131i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.39693 | − | 3.42020i | 0.538951 | − | 0.196162i | ||||
\(305\) | 6.06218 | − | 10.5000i | 0.347119 | − | 0.601228i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000 | + | 13.8564i | 0.456584 | + | 0.790827i | 0.998778 | − | 0.0494267i | \(-0.0157394\pi\) |
−0.542194 | + | 0.840254i | \(0.682406\pi\) | |||||||
\(308\) | 5.30731 | + | 4.45336i | 0.302412 | + | 0.253754i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.16756 | − | 23.6354i | −0.236701 | − | 1.34240i | ||||
\(311\) | 1.20307 | + | 6.82295i | 0.0682198 | + | 0.386894i | 0.999731 | + | 0.0231819i | \(0.00737967\pi\) |
−0.931511 | + | 0.363712i | \(0.881509\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.1511 | − | 16.0697i | −1.08248 | − | 0.908313i | −0.0863600 | − | 0.996264i | \(-0.527524\pi\) |
−0.996125 | + | 0.0879514i | \(0.971968\pi\) | |||||||
\(314\) | 14.7224 | + | 25.5000i | 0.830835 | + | 1.43905i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | + | 1.73205i | −0.0562544 | + | 0.0974355i | ||||
\(317\) | −8.13798 | + | 2.96198i | −0.457074 | + | 0.166361i | −0.560288 | − | 0.828298i | \(-0.689310\pi\) |
0.103214 | + | 0.994659i | \(0.467087\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.59627 | + | 3.85673i | −0.257342 | + | 0.215935i | ||||
\(320\) | −1.62760 | − | 0.592396i | −0.0909853 | − | 0.0331160i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.08378 | − | 11.8177i | 0.116124 | − | 0.658574i | ||||
\(323\) | −10.3923 | −0.578243 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.00000 | 0.110940 | ||||||||
\(326\) | 4.81228 | − | 27.2918i | 0.266528 | − | 1.51155i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −11.2763 | − | 4.10424i | −0.622630 | − | 0.226619i | ||||
\(329\) | −10.6146 | + | 8.90673i | −0.585203 | + | 0.491044i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.87939 | + | 0.684040i | −0.103300 | + | 0.0375983i | −0.393153 | − | 0.919473i | \(-0.628616\pi\) |
0.289853 | + | 0.957071i | \(0.406394\pi\) | |||||||
\(332\) | −6.92820 | + | 12.0000i | −0.380235 | + | 0.658586i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.0000 | + | 25.9808i | 0.820763 | + | 1.42160i | ||||
\(335\) | −13.2683 | − | 11.1334i | −0.724924 | − | 0.608283i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.51485 | + | 25.6050i | 0.245940 | + | 1.39479i | 0.818300 | + | 0.574791i | \(0.194917\pi\) |
−0.572360 | + | 0.820002i | \(0.693972\pi\) | |||||||
\(338\) | 3.60921 | + | 20.4688i | 0.196315 | + | 1.11336i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.89440 | − | 5.78509i | −0.373901 | − | 0.313740i | ||||
\(341\) | −13.8564 | − | 24.0000i | −0.750366 | − | 1.29967i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 17.3205i | 0.539949 | − | 0.935220i | ||||
\(344\) | −3.25519 | + | 1.18479i | −0.175508 | + | 0.0638797i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −25.2795 | + | 21.2120i | −1.35903 | + | 1.14036i | ||||
\(347\) | 3.25519 | + | 1.18479i | 0.174748 | + | 0.0636030i | 0.427912 | − | 0.903820i | \(-0.359249\pi\) |
−0.253165 | + | 0.967423i | \(0.581471\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.347296 | − | 1.96962i | 0.0185903 | − | 0.105431i | −0.974101 | − | 0.226115i | \(-0.927398\pi\) |
0.992691 | + | 0.120684i | \(0.0385087\pi\) | |||||||
\(350\) | 6.92820 | 0.370328 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | 2.40614 | − | 13.6459i | 0.128066 | − | 0.726298i | −0.851374 | − | 0.524560i | \(-0.824230\pi\) |
0.979440 | − | 0.201738i | \(-0.0646590\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.9145 | − | 6.15636i | −0.897727 | − | 0.326746i | ||||
\(356\) | 3.98048 | − | 3.34002i | 0.210965 | − | 0.177021i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −33.8289 | + | 12.3127i | −1.78791 | + | 0.650748i | ||||
\(359\) | 5.19615 | − | 9.00000i | 0.274242 | − | 0.475002i | −0.695701 | − | 0.718331i | \(-0.744906\pi\) |
0.969944 | + | 0.243329i | \(0.0782396\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | + | 12.9904i | 0.394737 | + | 0.683704i | ||||
\(362\) | −2.65366 | − | 2.22668i | −0.139473 | − | 0.117032i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.347296 | − | 1.96962i | −0.0182033 | − | 0.103236i | ||||
\(365\) | −2.10537 | − | 11.9402i | −0.110200 | − | 0.624977i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.3209 | + | 12.8558i | 0.799744 | + | 0.671065i | 0.948136 | − | 0.317864i | \(-0.102965\pi\) |
−0.148393 | + | 0.988929i | \(0.547410\pi\) | |||||||
\(368\) | −8.66025 | − | 15.0000i | −0.451447 | − | 0.781929i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.5000 | + | 18.1865i | −0.545869 | + | 0.945473i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.66044 | + | 6.42788i | −0.396643 | + | 0.332823i | −0.819194 | − | 0.573516i | \(-0.805579\pi\) |
0.422552 | + | 0.906339i | \(0.361135\pi\) | |||||||
\(374\) | −29.2967 | − | 10.6631i | −1.51490 | − | 0.551377i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.08378 | + | 11.8177i | −0.107463 | + | 0.609451i | ||||
\(377\) | 1.73205 | 0.0892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.0000 | −0.821865 | −0.410932 | − | 0.911666i | \(-0.634797\pi\) | ||||
−0.410932 | + | 0.911666i | \(0.634797\pi\) | |||||||
\(380\) | 0.601535 | − | 3.41147i | 0.0308581 | − | 0.175005i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −28.1908 | − | 10.2606i | −1.44237 | − | 0.524978i | ||||
\(383\) | 13.2683 | − | 11.1334i | 0.677977 | − | 0.568891i | −0.237437 | − | 0.971403i | \(-0.576307\pi\) |
0.915415 | + | 0.402512i | \(0.131863\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.2763 | + | 4.10424i | −0.574694 | + | 0.209172i | ||||
\(386\) | −0.866025 | + | 1.50000i | −0.0440795 | + | 0.0763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.00000 | − | 1.73205i | −0.0507673 | − | 0.0879316i | ||||
\(389\) | −21.2292 | − | 17.8135i | −1.07637 | − | 0.903178i | −0.0807515 | − | 0.996734i | \(-0.525732\pi\) |
−0.995614 | + | 0.0935564i | \(0.970176\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.12567 | + | 17.7265i | 0.158072 | + | 0.896470i | ||||
\(392\) | −0.902302 | − | 5.11721i | −0.0455732 | − | 0.258458i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.89440 | − | 5.78509i | −0.347335 | − | 0.291449i | ||||
\(395\) | −1.73205 | − | 3.00000i | −0.0871489 | − | 0.150946i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.5000 | + | 25.1147i | −0.727734 | + | 1.26047i | 0.230105 | + | 0.973166i | \(0.426093\pi\) |
−0.957839 | + | 0.287307i | \(0.907240\pi\) | |||||||
\(398\) | 32.5519 | − | 11.8479i | 1.63168 | − | 0.593883i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.66044 | − | 6.42788i | 0.383022 | − | 0.321394i | ||||
\(401\) | −11.3932 | − | 4.14677i | −0.568948 | − | 0.207080i | 0.0414974 | − | 0.999139i | \(-0.486787\pi\) |
−0.610445 | + | 0.792059i | \(0.709009\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.38919 | + | 7.87846i | −0.0692003 | + | 0.392454i | ||||
\(404\) | −6.92820 | −0.344691 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | −4.21074 | + | 23.8803i | −0.208719 | + | 1.18370i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.8542 | + | 6.49838i | 0.882831 | + | 0.321324i | 0.743352 | − | 0.668901i | \(-0.233235\pi\) |
0.139480 | + | 0.990225i | \(0.455457\pi\) | |||||||
\(410\) | −15.9219 | + | 13.3601i | −0.786328 | + | 0.659808i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.51754 | + | 2.73616i | −0.370363 | + | 0.134801i | ||||
\(413\) | 13.8564 | − | 24.0000i | 0.681829 | − | 1.18096i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0000 | − | 20.7846i | −0.589057 | − | 1.02028i | ||||
\(416\) | −3.98048 | − | 3.34002i | −0.195159 | − | 0.163758i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.08378 | − | 11.8177i | −0.101921 | − | 0.578022i | ||||
\(419\) | 1.20307 | + | 6.82295i | 0.0587738 | + | 0.333323i | 0.999990 | − | 0.00448209i | \(-0.00142670\pi\) |
−0.941216 | + | 0.337805i | \(0.890316\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.1511 | − | 16.0697i | −0.933368 | − | 0.783189i | 0.0430510 | − | 0.999073i | \(-0.486292\pi\) |
−0.976419 | + | 0.215884i | \(0.930737\pi\) | |||||||
\(422\) | −8.66025 | − | 15.0000i | −0.421575 | − | 0.730189i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.76557 | + | 3.55438i | −0.473700 | + | 0.172413i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.7246 | + | 8.99903i | −0.519001 | + | 0.435493i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.04189 | + | 5.90885i | −0.0502444 | + | 0.284950i | ||||
\(431\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | −4.81228 | + | 27.2918i | −0.230997 | + | 1.31005i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.3366 | − | 3.76222i | −0.495034 | − | 0.180178i | ||||
\(437\) | −5.30731 | + | 4.45336i | −0.253883 | + | 0.213033i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.7939 | + | 6.84040i | −0.896982 | + | 0.326475i | −0.749043 | − | 0.662522i | \(-0.769486\pi\) |
−0.147939 | + | 0.988996i | \(0.547264\pi\) | |||||||
\(440\) | −5.19615 | + | 9.00000i | −0.247717 | + | 0.429058i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.50000 | + | 7.79423i | 0.214043 | + | 0.370734i | ||||
\(443\) | 26.5366 | + | 22.2668i | 1.26079 | + | 1.05793i | 0.995597 | + | 0.0937329i | \(0.0298800\pi\) |
0.265193 | + | 0.964195i | \(0.414564\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.56283 | + | 8.86327i | 0.0740854 | + | 0.420159i | ||||
\(446\) | −0.601535 | − | 3.41147i | −0.0284835 | − | 0.161538i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.53209 | + | 1.28558i | 0.0723844 | + | 0.0607377i | ||||
\(449\) | 10.3923 | + | 18.0000i | 0.490443 | + | 0.849473i | 0.999939 | − | 0.0110003i | \(-0.00350158\pi\) |
−0.509496 | + | 0.860473i | \(0.670168\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.0000 | + | 20.7846i | −0.565058 | + | 0.978709i | ||||
\(452\) | −1.62760 | + | 0.592396i | −0.0765556 | + | 0.0278640i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.59627 | + | 3.85673i | −0.215713 | + | 0.181005i | ||||
\(455\) | 3.25519 | + | 1.18479i | 0.152606 | + | 0.0555439i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.03580 | − | 28.5594i | 0.235565 | − | 1.33595i | −0.605857 | − | 0.795574i | \(-0.707169\pi\) |
0.841421 | − | 0.540380i | \(-0.181719\pi\) | |||||||
\(458\) | 1.73205 | 0.0809334 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.00000 | −0.279751 | ||||||||
\(461\) | 2.40614 | − | 13.6459i | 0.112065 | − | 0.635553i | −0.876096 | − | 0.482136i | \(-0.839861\pi\) |
0.988162 | − | 0.153417i | \(-0.0490277\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.51754 | − | 2.73616i | −0.349370 | − | 0.127160i | 0.161374 | − | 0.986893i | \(-0.448408\pi\) |
−0.510743 | + | 0.859733i | \(0.670630\pi\) | |||||||
\(464\) | 6.63414 | − | 5.56670i | 0.307982 | − | 0.258428i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 42.2862 | − | 15.3909i | 1.95887 | − | 0.712970i | ||||
\(467\) | −10.3923 | + | 18.0000i | −0.480899 | + | 0.832941i | −0.999760 | − | 0.0219178i | \(-0.993023\pi\) |
0.518861 | + | 0.854858i | \(0.326356\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.0000 | + | 17.3205i | 0.461757 | + | 0.799787i | ||||
\(470\) | 15.9219 | + | 13.3601i | 0.734424 | + | 0.616255i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.16756 | − | 23.6354i | −0.191827 | − | 1.08791i | ||||
\(473\) | 1.20307 | + | 6.82295i | 0.0553172 | + | 0.313719i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.06418 | − | 2.57115i | −0.140594 | − | 0.117972i | ||||
\(476\) | 5.19615 | + | 9.00000i | 0.238165 | + | 0.412514i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 24.0000 | − | 41.5692i | 1.09773 | − | 1.90133i | ||||
\(479\) | −22.7863 | + | 8.29355i | −1.04113 | + | 0.378942i | −0.805310 | − | 0.592854i | \(-0.798001\pi\) |
−0.235824 | + | 0.971796i | \(0.575779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.36231 | − | 4.49951i | 0.244500 | − | 0.205160i | ||||
\(482\) | 47.2003 | + | 17.1795i | 2.14991 | + | 0.782504i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.173648 | − | 0.984808i | 0.00789310 | − | 0.0447640i | ||||
\(485\) | 3.46410 | 0.157297 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.0000 | −0.725029 | −0.362515 | − | 0.931978i | \(-0.618082\pi\) | ||||
−0.362515 | + | 0.931978i | \(0.618082\pi\) | |||||||
\(488\) | −2.10537 | + | 11.9402i | −0.0953057 | + | 0.540506i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −8.45723 | − | 3.07818i | −0.382059 | − | 0.139058i | ||||
\(491\) | 13.2683 | − | 11.1334i | 0.598789 | − | 0.502444i | −0.292267 | − | 0.956337i | \(-0.594410\pi\) |
0.891056 | + | 0.453893i | \(0.149965\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.45723 | + | 3.07818i | −0.380895 | + | 0.138634i | ||||
\(494\) | −1.73205 | + | 3.00000i | −0.0779287 | + | 0.134976i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.0000 | + | 34.6410i | 0.898027 | + | 1.55543i | ||||
\(497\) | 15.9219 | + | 13.3601i | 0.714196 | + | 0.599282i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.73648 | − | 9.84808i | −0.0777356 | − | 0.440860i | −0.998689 | − | 0.0511879i | \(-0.983699\pi\) |
0.920953 | − | 0.389673i | \(-0.127412\pi\) | |||||||
\(500\) | −2.10537 | − | 11.9402i | −0.0941551 | − | 0.533980i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 13.7888 | + | 11.5702i | 0.615424 | + | 0.516402i | ||||
\(503\) | 10.3923 | + | 18.0000i | 0.463370 | + | 0.802580i | 0.999126 | − | 0.0417923i | \(-0.0133068\pi\) |
−0.535756 | + | 0.844373i | \(0.679973\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.00000 | − | 10.3923i | 0.266996 | − | 0.462451i | ||||
\(506\) | −19.5311 | + | 7.10876i | −0.868265 | + | 0.316023i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.53209 | − | 1.28558i | 0.0679755 | − | 0.0570382i | ||||
\(509\) | −26.0415 | − | 9.47834i | −1.15427 | − | 0.420120i | −0.307223 | − | 0.951638i | \(-0.599400\pi\) |
−0.847047 | + | 0.531517i | \(0.821622\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.43107 | + | 13.7873i | −0.107544 | + | 0.609915i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.0000 | 0.661622 | ||||||||
\(515\) | 2.40614 | − | 13.6459i | 0.106027 | − | 0.601310i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.5526 | + | 8.20848i | 0.991863 | + | 0.361009i | ||||
\(518\) | 18.5756 | − | 15.5868i | 0.816165 | − | 0.684843i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.81908 | − | 1.02606i | 0.123625 | − | 0.0449957i | ||||
\(521\) | −10.3923 | + | 18.0000i | −0.455295 | + | 0.788594i | −0.998705 | − | 0.0508731i | \(-0.983800\pi\) |
0.543410 | + | 0.839467i | \(0.317133\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.0000 | − | 32.9090i | −0.830812 | − | 1.43901i | −0.897395 | − | 0.441228i | \(-0.854543\pi\) |
0.0665832 | − | 0.997781i | \(-0.478790\pi\) | |||||||
\(524\) | −2.65366 | − | 2.22668i | −0.115925 | − | 0.0972730i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.08378 | + | 11.8177i | 0.0908570 | + | 0.515276i | ||||
\(527\) | −7.21842 | − | 40.9377i | −0.314439 | − | 1.78327i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.42649 | − | 7.07066i | −0.366369 | − | 0.307420i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.00000 | + | 3.46410i | −0.0867110 | + | 0.150188i | ||||
\(533\) | 6.51038 | − | 2.36959i | 0.281996 | − | 0.102638i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 16.2760 | + | 5.92396i | 0.703014 | + | 0.255876i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.68850 | + | 26.5898i | −0.202136 | + | 1.14637i | ||||
\(539\) | −10.3923 | −0.447628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.0000 | 0.472927 | 0.236463 | − | 0.971640i | \(-0.424012\pi\) | ||||
0.236463 | + | 0.971640i | \(0.424012\pi\) | |||||||
\(542\) | −0.601535 | + | 3.41147i | −0.0258381 | + | 0.146535i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 25.3717 | + | 9.23454i | 1.08780 | + | 0.395928i | ||||
\(545\) | 14.5951 | − | 12.2467i | 0.625186 | − | 0.524593i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.7939 | + | 6.84040i | −0.803567 | + | 0.292475i | −0.710964 | − | 0.703229i | \(-0.751741\pi\) |
−0.0926033 | + | 0.995703i | \(0.529519\pi\) | |||||||
\(548\) | 0.866025 | − | 1.50000i | 0.0369948 | − | 0.0640768i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.00000 | − | 10.3923i | −0.255841 | − | 0.443129i | ||||
\(551\) | −2.65366 | − | 2.22668i | −0.113050 | − | 0.0948598i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.694593 | + | 3.93923i | 0.0295371 | + | 0.167513i | ||||
\(554\) | −0.601535 | − | 3.41147i | −0.0255568 | − | 0.144940i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.12836 | + | 5.14230i | 0.259900 | + | 0.218082i | ||||
\(557\) | 18.1865 | + | 31.5000i | 0.770588 | + | 1.33470i | 0.937241 | + | 0.348682i | \(0.113371\pi\) |
−0.166653 | + | 0.986016i | \(0.553296\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.00000 | − | 1.73205i | 0.0422955 | − | 0.0732579i | ||||
\(560\) | 16.2760 | − | 5.92396i | 0.687785 | − | 0.250333i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.0869 | − | 13.4985i | 0.678586 | − | 0.569402i | ||||
\(563\) | 32.5519 | + | 11.8479i | 1.37190 | + | 0.499331i | 0.919712 | − | 0.392593i | \(-0.128422\pi\) |
0.452187 | + | 0.891923i | \(0.350644\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.520945 | − | 2.95442i | 0.0219163 | − | 0.124294i | ||||
\(566\) | 48.4974 | 2.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.0000 | 0.755263 | ||||||||
\(569\) | −5.71458 | + | 32.4090i | −0.239568 | + | 1.35866i | 0.593210 | + | 0.805048i | \(0.297861\pi\) |
−0.832777 | + | 0.553608i | \(0.813251\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.51754 | − | 2.73616i | −0.314599 | − | 0.114505i | 0.179895 | − | 0.983686i | \(-0.442424\pi\) |
−0.494494 | + | 0.869181i | \(0.664647\pi\) | |||||||
\(572\) | −2.65366 | + | 2.22668i | −0.110955 | + | 0.0931022i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.5526 | − | 8.20848i | 0.941328 | − | 0.342615i | ||||
\(575\) | −3.46410 | + | 6.00000i | −0.144463 | + | 0.250217i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | −13.2683 | − | 11.1334i | −0.551888 | − | 0.463089i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.520945 | − | 2.95442i | −0.0216310 | − | 0.122676i | ||||
\(581\) | 4.81228 | + | 27.2918i | 0.199647 | + | 1.13225i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 6.06218 | + | 10.5000i | 0.250855 | + | 0.434493i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.5000 | + | 28.5788i | −0.681609 | + | 1.18058i | ||||
\(587\) | 35.8071 | − | 13.0327i | 1.47792 | − | 0.537918i | 0.527679 | − | 0.849444i | \(-0.323062\pi\) |
0.950238 | + | 0.311526i | \(0.100840\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.2567 | − | 10.2846i | 0.505029 | − | 0.423770i | ||||
\(590\) | −39.0623 | − | 14.2175i | −1.60817 | − | 0.585326i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.07769 | − | 34.4683i | 0.249791 | − | 1.41664i | ||||
\(593\) | −15.5885 | −0.640141 | −0.320071 | − | 0.947394i | \(-0.603707\pi\) | ||||
−0.320071 | + | 0.947394i | \(0.603707\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.0000 | −0.737928 | ||||||||
\(596\) | −1.50384 | + | 8.52869i | −0.0615996 | + | 0.349349i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.63816 | + | 2.05212i | 0.230561 | + | 0.0839175i | ||||
\(599\) | −10.6146 | + | 8.90673i | −0.433702 | + | 0.363919i | −0.833346 | − | 0.552751i | \(-0.813578\pi\) |
0.399645 | + | 0.916670i | \(0.369134\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.4923 | − | 8.55050i | 0.958272 | − | 0.348782i | 0.184916 | − | 0.982754i | \(-0.440799\pi\) |
0.773356 | + | 0.633972i | \(0.218577\pi\) | |||||||
\(602\) | 3.46410 | − | 6.00000i | 0.141186 | − | 0.244542i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | − | 17.3205i | −0.406894 | − | 0.704761i | ||||
\(605\) | 1.32683 | + | 1.11334i | 0.0539432 | + | 0.0452637i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.51485 | + | 25.6050i | 0.183252 | + | 1.03927i | 0.928180 | + | 0.372130i | \(0.121373\pi\) |
−0.744928 | + | 0.667145i | \(0.767516\pi\) | |||||||
\(608\) | 1.80460 | + | 10.2344i | 0.0731864 | + | 0.415061i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 16.0869 | + | 13.4985i | 0.651341 | + | 0.546540i | ||||
\(611\) | −3.46410 | − | 6.00000i | −0.140143 | − | 0.242734i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.0000 | − | 29.4449i | 0.686624 | − | 1.18927i | −0.286300 | − | 0.958140i | \(-0.592425\pi\) |
0.972924 | − | 0.231127i | \(-0.0742412\pi\) | |||||||
\(614\) | −26.0415 | + | 9.47834i | −1.05095 | + | 0.382515i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.19253 | − | 7.71345i | 0.370378 | − | 0.310784i | ||||
\(617\) | −11.3932 | − | 4.14677i | −0.458672 | − | 0.166943i | 0.102342 | − | 0.994749i | \(-0.467366\pi\) |
−0.561014 | + | 0.827806i | \(0.689589\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.47296 | − | 19.6962i | 0.139590 | − | 0.791655i | −0.831963 | − | 0.554832i | \(-0.812783\pi\) |
0.971553 | − | 0.236823i | \(-0.0761063\pi\) | |||||||
\(620\) | 13.8564 | 0.556487 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0000 | −0.481156 | ||||||||
\(623\) | 1.80460 | − | 10.2344i | 0.0723000 | − | 0.410033i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.3366 | + | 3.76222i | 0.413465 | + | 0.150489i | ||||
\(626\) | 33.1707 | − | 27.8335i | 1.32577 | − | 1.11245i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −15.9748 | + | 5.81434i | −0.637463 | + | 0.232018i | ||||
\(629\) | −18.1865 | + | 31.5000i | −0.725145 | + | 1.25599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0000 | − | 17.3205i | −0.398094 | − | 0.689519i | 0.595397 | − | 0.803432i | \(-0.296995\pi\) |
−0.993491 | + | 0.113913i | \(0.963661\pi\) | |||||||
\(632\) | 2.65366 | + | 2.22668i | 0.105557 | + | 0.0885726i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.60472 | − | 14.7721i | −0.103447 | − | 0.586676i | ||||
\(635\) | 0.601535 | + | 3.41147i | 0.0238712 | + | 0.135380i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.29813 | + | 1.92836i | 0.0910554 | + | 0.0764045i | ||||
\(638\) | −5.19615 | − | 9.00000i | −0.205718 | − | 0.356313i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.5000 | − | 18.1865i | 0.415049 | − | 0.718886i | ||||
\(641\) | 21.1587 | − | 7.70115i | 0.835720 | − | 0.304177i | 0.111516 | − | 0.993763i | \(-0.464429\pi\) |
0.724204 | + | 0.689585i | \(0.242207\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.12836 | − | 5.14230i | 0.241679 | − | 0.202793i | −0.513900 | − | 0.857850i | \(-0.671800\pi\) |
0.755579 | + | 0.655057i | \(0.227356\pi\) | |||||||
\(644\) | 6.51038 | + | 2.36959i | 0.256545 | + | 0.0933747i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.12567 | − | 17.7265i | 0.122978 | − | 0.697441i | ||||
\(647\) | 31.1769 | 1.22569 | 0.612845 | − | 0.790203i | \(-0.290025\pi\) | ||||
0.612845 | + | 0.790203i | \(0.290025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | −0.601535 | + | 3.41147i | −0.0235941 | + | 0.133809i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.0351 | + | 5.47232i | 0.588819 | + | 0.214313i | ||||
\(653\) | −10.6146 | + | 8.90673i | −0.415382 | + | 0.348547i | −0.826403 | − | 0.563079i | \(-0.809617\pi\) |
0.411021 | + | 0.911626i | \(0.365172\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.63816 | − | 2.05212i | 0.220301 | − | 0.0801830i | ||||
\(656\) | 17.3205 | − | 30.0000i | 0.676252 | − | 1.17130i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.0000 | − | 20.7846i | −0.467809 | − | 0.810268i | ||||
\(659\) | 2.65366 | + | 2.22668i | 0.103372 | + | 0.0867392i | 0.693009 | − | 0.720929i | \(-0.256285\pi\) |
−0.589637 | + | 0.807668i | \(0.700729\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.95202 | + | 16.7417i | 0.114820 | + | 0.651178i | 0.986839 | + | 0.161706i | \(0.0516995\pi\) |
−0.872019 | + | 0.489472i | \(0.837189\pi\) | |||||||
\(662\) | −0.601535 | − | 3.41147i | −0.0233793 | − | 0.132591i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 18.3851 | + | 15.4269i | 0.713479 | + | 0.598680i | ||||
\(665\) | −3.46410 | − | 6.00000i | −0.134332 | − | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.00000 | + | 5.19615i | −0.116160 | + | 0.201196i | ||||
\(668\) | −16.2760 | + | 5.92396i | −0.629736 | + | 0.229205i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 22.9813 | − | 19.2836i | 0.887846 | − | 0.744992i | ||||
\(671\) | 22.7863 | + | 8.29355i | 0.879657 | + | 0.320169i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.34120 | + | 24.6202i | −0.167341 | + | 0.949039i | 0.779277 | + | 0.626680i | \(0.215587\pi\) |
−0.946618 | + | 0.322359i | \(0.895524\pi\) | |||||||
\(674\) | −45.0333 | −1.73462 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | 2.40614 | − | 13.6459i | 0.0924755 | − | 0.524454i | −0.903016 | − | 0.429606i | \(-0.858652\pi\) |
0.995492 | − | 0.0948481i | \(-0.0302365\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.75877 | − | 1.36808i | −0.144248 | − | 0.0525021i | ||||
\(680\) | −11.9415 | + | 10.0201i | −0.457934 | + | 0.384252i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 45.1052 | − | 16.4170i | 1.72717 | − | 0.628638i | ||||
\(683\) | −10.3923 | + | 18.0000i | −0.397650 | + | 0.688751i | −0.993436 | − | 0.114393i | \(-0.963508\pi\) |
0.595785 | + | 0.803144i | \(0.296841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.50000 | + | 2.59808i | 0.0573121 | + | 0.0992674i | ||||
\(686\) | 26.5366 | + | 22.2668i | 1.01317 | + | 0.850151i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.73648 | − | 9.84808i | −0.0662027 | − | 0.375454i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.53209 | + | 1.28558i | 0.0582834 | + | 0.0489056i | 0.671464 | − | 0.741037i | \(-0.265666\pi\) |
−0.613181 | + | 0.789943i | \(0.710110\pi\) | |||||||
\(692\) | −9.52628 | − | 16.5000i | −0.362135 | − | 0.627236i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.00000 | + | 5.19615i | −0.113878 | + | 0.197243i | ||||
\(695\) | −13.0208 | + | 4.73917i | −0.493906 | + | 0.179767i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.5776 | + | 23.1404i | −1.04458 | + | 0.876503i | ||||
\(698\) | 3.25519 | + | 1.18479i | 0.123211 | + | 0.0448451i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.694593 | + | 3.93923i | −0.0262531 | + | 0.148889i | ||||
\(701\) | −46.7654 | −1.76630 | −0.883152 | − | 0.469087i | \(-0.844583\pi\) | ||||
−0.883152 | + | 0.469087i | \(0.844583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | 0.601535 | − | 3.41147i | 0.0226712 | − | 0.128575i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 22.5526 | + | 8.20848i | 0.848779 | + | 0.308930i | ||||
\(707\) | −10.6146 | + | 8.90673i | −0.399204 | + | 0.334972i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.4923 | − | 8.55050i | 0.882272 | − | 0.321121i | 0.139146 | − | 0.990272i | \(-0.455564\pi\) |
0.743126 | + | 0.669151i | \(0.233342\pi\) | |||||||
\(710\) | 15.5885 | − | 27.0000i | 0.585024 | − | 1.01329i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.50000 | − | 7.79423i | −0.168645 | − | 0.292101i | ||||
\(713\) | −21.2292 | − | 17.8135i | −0.795042 | − | 0.667119i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.04189 | − | 5.90885i | −0.0389644 | − | 0.220978i | ||||
\(716\) | −3.60921 | − | 20.4688i | −0.134882 | − | 0.764957i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 13.7888 | + | 11.5702i | 0.514593 | + | 0.431795i | ||||
\(719\) | −5.19615 | − | 9.00000i | −0.193784 | − | 0.335643i | 0.752717 | − | 0.658344i | \(-0.228743\pi\) |
−0.946501 | + | 0.322700i | \(0.895409\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | + | 13.8564i | −0.297936 | + | 0.516040i | ||||
\(722\) | −24.4139 | + | 8.88594i | −0.908592 | + | 0.330701i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.53209 | − | 1.28558i | 0.0569396 | − | 0.0477780i | ||||
\(725\) | −3.25519 | − | 1.18479i | −0.120895 | − | 0.0440021i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.90404 | + | 33.4835i | −0.218969 | + | 1.24183i | 0.654917 | + | 0.755701i | \(0.272704\pi\) |
−0.873885 | + | 0.486132i | \(0.838407\pi\) | |||||||
\(728\) | −3.46410 | −0.128388 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 21.0000 | 0.777245 | ||||||||
\(731\) | −1.80460 | + | 10.2344i | −0.0667457 | + | 0.378534i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 43.2259 | + | 15.7329i | 1.59658 | + | 0.581109i | 0.978724 | − | 0.205180i | \(-0.0657779\pi\) |
0.617859 | + | 0.786289i | \(0.288000\pi\) | |||||||
\(734\) | −26.5366 | + | 22.2668i | −0.979482 | + | 0.821883i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 16.9145 | − | 6.15636i | 0.623476 | − | 0.226927i | ||||
\(737\) | 17.3205 | − | 30.0000i | 0.638009 | − | 1.10506i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.0000 | − | 17.3205i | −0.367856 | − | 0.637145i | 0.621374 | − | 0.783514i | \(-0.286575\pi\) |
−0.989230 | + | 0.146369i | \(0.953241\pi\) | |||||||
\(740\) | −9.28780 | − | 7.79339i | −0.341426 | − | 0.286491i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.20307 | + | 6.82295i | 0.0441364 | + | 0.250310i | 0.998891 | − | 0.0470853i | \(-0.0149933\pi\) |
−0.954755 | + | 0.297395i | \(0.903882\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.4907 | − | 9.64181i | −0.420985 | − | 0.353249i | ||||
\(746\) | −8.66025 | − | 15.0000i | −0.317074 | − | 0.549189i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.00000 | − | 15.5885i | 0.329073 | − | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.66044 | + | 6.42788i | −0.279534 | + | 0.234557i | −0.771765 | − | 0.635908i | \(-0.780626\pi\) |
0.492231 | + | 0.870464i | \(0.336181\pi\) | |||||||
\(752\) | −32.5519 | − | 11.8479i | −1.18705 | − | 0.432049i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.520945 | + | 2.95442i | −0.0189717 | + | 0.107594i | ||||
\(755\) | 34.6410 | 1.26072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | 4.81228 | − | 27.2918i | 0.174790 | − | 0.991283i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.63816 | − | 2.05212i | −0.204517 | − | 0.0744382i | ||||
\(761\) | −22.5561 | + | 18.9268i | −0.817657 | + | 0.686096i | −0.952422 | − | 0.304782i | \(-0.901416\pi\) |
0.134765 | + | 0.990878i | \(0.456972\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.6732 | + | 7.52444i | −0.748421 | + | 0.272403i | ||||
\(764\) | 8.66025 | − | 15.0000i | 0.313317 | − | 0.542681i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.0000 | + | 25.9808i | 0.541972 | + | 0.938723i | ||||
\(767\) | 10.6146 | + | 8.90673i | 0.383272 | + | 0.321603i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.173648 | − | 0.984808i | −0.00626191 | − | 0.0355131i | 0.981517 | − | 0.191376i | \(-0.0612951\pi\) |
−0.987779 | + | 0.155863i | \(0.950184\pi\) | |||||||
\(770\) | −3.60921 | − | 20.4688i | −0.130067 | − | 0.737646i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.766044 | − | 0.642788i | −0.0275705 | − | 0.0231344i | ||||
\(773\) | −12.9904 | − | 22.5000i | −0.467232 | − | 0.809269i | 0.532068 | − | 0.846702i | \(-0.321415\pi\) |
−0.999299 | + | 0.0374331i | \(0.988082\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | − | 13.8564i | 0.287368 | − | 0.497737i | ||||
\(776\) | −3.25519 | + | 1.18479i | −0.116855 | + | 0.0425316i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 36.7701 | − | 30.8538i | 1.31827 | − | 1.10616i | ||||
\(779\) | −13.0208 | − | 4.73917i | −0.466517 | − | 0.169798i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.25133 | − | 35.4531i | 0.223690 | − | 1.26861i | ||||
\(782\) | −31.1769 | −1.11488 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.0000 | 0.535714 | ||||||||
\(785\) | 5.11305 | − | 28.9975i | 0.182492 | − | 1.03497i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.4320 | − | 8.89252i | −0.870907 | − | 0.316984i | −0.132373 | − | 0.991200i | \(-0.542260\pi\) |
−0.738534 | + | 0.674216i | \(0.764482\pi\) | |||||||
\(788\) | 3.98048 | − | 3.34002i | 0.141799 | − | 0.118983i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.63816 | − | 2.05212i | 0.200597 | − | 0.0730112i | ||||
\(791\) | −1.73205 | + | 3.00000i | −0.0615846 | + | 0.106668i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.50000 | − | 6.06218i | −0.124289 | − | 0.215274i | ||||
\(794\) | −38.4780 | − | 32.2869i | −1.36553 | − | 1.14582i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.47296 | + | 19.6962i | 0.123096 | + | 0.698112i | ||||
\(797\) | 9.32379 | + | 52.8778i | 0.330266 | + | 1.87303i | 0.469741 | + | 0.882804i | \(0.344347\pi\) |
−0.139476 | + | 0.990225i | \(0.544542\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 27.5776 | + | 23.1404i | 0.975625 | + | 0.818647i | ||||
\(800\) | 5.19615 | + | 9.00000i | 0.183712 | + | 0.318198i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.5000 | − | 18.1865i | 0.370768 | − | 0.642189i | ||||
\(803\) | 22.7863 | − | 8.29355i | 0.804112 | − | 0.292673i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.19253 | + | 7.71345i | −0.323994 | + | 0.271863i | ||||
\(806\) | −13.0208 | − | 4.73917i | −0.458637 | − | 0.166930i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.08378 | + | 11.8177i | −0.0733071 | + | 0.415745i | ||||
\(809\) | 46.7654 | 1.64418 | 0.822091 | − | 0.569355i | \(-0.192807\pi\) | ||||
0.822091 | + | 0.569355i | \(0.192807\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.0000 | −0.561836 | −0.280918 | − | 0.959732i | \(-0.590639\pi\) | ||||
−0.280918 | + | 0.959732i | \(0.590639\pi\) | |||||||
\(812\) | −0.601535 | + | 3.41147i | −0.0211097 | + | 0.119719i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −39.4671 | − | 14.3648i | −1.38332 | − | 0.503488i | ||||
\(815\) | −21.2292 | + | 17.8135i | −0.743628 | + | 0.623978i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.75877 | + | 1.36808i | −0.131503 | + | 0.0478631i | ||||
\(818\) | −16.4545 | + | 28.5000i | −0.575317 | + | 0.996479i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.00000 | − | 10.3923i | −0.209529 | − | 0.362915i | ||||
\(821\) | −9.28780 | − | 7.79339i | −0.324146 | − | 0.271991i | 0.466163 | − | 0.884699i | \(-0.345636\pi\) |
−0.790310 | + | 0.612708i | \(0.790080\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.86215 | − | 27.5746i | −0.169484 | − | 0.961191i | −0.944320 | − | 0.329029i | \(-0.893279\pi\) |
0.774836 | − | 0.632162i | \(-0.217832\pi\) | |||||||
\(824\) | 2.40614 | + | 13.6459i | 0.0838218 | + | 0.475377i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 36.7701 | + | 30.8538i | 1.27940 | + | 1.07354i | ||||
\(827\) | −5.19615 | − | 9.00000i | −0.180688 | − | 0.312961i | 0.761427 | − | 0.648251i | \(-0.224499\pi\) |
−0.942115 | + | 0.335290i | \(0.891166\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.00000 | + | 1.73205i | −0.0347314 | + | 0.0601566i | −0.882869 | − | 0.469620i | \(-0.844391\pi\) |
0.848137 | + | 0.529777i | \(0.177724\pi\) | |||||||
\(830\) | 39.0623 | − | 14.2175i | 1.35587 | − | 0.493497i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.766044 | + | 0.642788i | −0.0265578 | + | 0.0222847i | ||||
\(833\) | −14.6484 | − | 5.33157i | −0.507536 | − | 0.184728i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.20945 | − | 29.5442i | 0.180280 | − | 1.02242i | ||||
\(836\) | 6.92820 | 0.239617 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.0000 | −0.414533 | ||||||||
\(839\) | 7.81995 | − | 44.3492i | 0.269975 | − | 1.53110i | −0.484510 | − | 0.874786i | \(-0.661002\pi\) |
0.754485 | − | 0.656317i | \(-0.227887\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 24.4320 | + | 8.89252i | 0.842483 | + | 0.306639i | ||||
\(842\) | 33.1707 | − | 27.8335i | 1.14314 | − | 0.959206i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.39693 | − | 3.42020i | 0.323456 | − | 0.117728i | ||||
\(845\) | 10.3923 | − | 18.0000i | 0.357506 | − | 0.619219i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | − | 1.73205i | −0.0343604 | − | 0.0595140i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.12567 | − | 17.7265i | −0.107210 | − | 0.608015i | ||||
\(851\) | 4.21074 | + | 23.8803i | 0.144342 | + | 0.818607i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.0455 | − | 21.8548i | −0.891781 | − | 0.748293i | 0.0767853 | − | 0.997048i | \(-0.475534\pi\) |
−0.968567 | + | 0.248754i | \(0.919979\pi\) | |||||||
\(854\) | −12.1244 | − | 21.0000i | −0.414887 | − | 0.718605i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 21.1587 | − | 7.70115i | 0.722769 | − | 0.263066i | 0.0456681 | − | 0.998957i | \(-0.485458\pi\) |
0.677101 | + | 0.735890i | \(0.263236\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 33.7060 | − | 28.2827i | 1.15003 | − | 0.964992i | 0.150312 | − | 0.988639i | \(-0.451972\pi\) |
0.999720 | + | 0.0236469i | \(0.00752774\pi\) | |||||||
\(860\) | −3.25519 | − | 1.18479i | −0.111001 | − | 0.0404011i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −31.1769 | −1.06127 | −0.530637 | − | 0.847599i | \(-0.678047\pi\) | ||||
−0.530637 | + | 0.847599i | \(0.678047\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.0000 | 1.12203 | ||||||||
\(866\) | −3.30844 | + | 18.7631i | −0.112425 | + | 0.637596i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −15.0351 | − | 5.47232i | −0.510324 | − | 0.185743i | ||||
\(869\) | 5.30731 | − | 4.45336i | 0.180038 | − | 0.151070i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.39693 | + | 3.42020i | −0.318403 | + | 0.115889i | ||||
\(872\) | −9.52628 | + | 16.5000i | −0.322601 | + | 0.558761i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.00000 | − | 10.3923i | −0.202953 | − | 0.351525i | ||||
\(875\) | −18.5756 | − | 15.5868i | −0.627970 | − | 0.526929i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.20335 | + | 52.1948i | 0.310775 | + | 1.76249i | 0.594990 | + | 0.803733i | \(0.297156\pi\) |
−0.284215 | + | 0.958761i | \(0.591733\pi\) | |||||||
\(878\) | −6.01535 | − | 34.1147i | −0.203008 | − | 1.15132i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −22.9813 | − | 19.2836i | −0.774701 | − | 0.650051i | ||||
\(881\) | 10.3923 | + | 18.0000i | 0.350126 | + | 0.606435i | 0.986271 | − | 0.165134i | \(-0.0528056\pi\) |
−0.636146 | + | 0.771569i | \(0.719472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.0000 | + | 48.4974i | −0.942275 | + | 1.63207i | −0.181158 | + | 0.983454i | \(0.557984\pi\) |
−0.761117 | + | 0.648614i | \(0.775349\pi\) | |||||||
\(884\) | −4.88279 | + | 1.77719i | −0.164226 | + | 0.0597733i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −45.9627 | + | 38.5673i | −1.54415 | + | 1.29569i | ||||
\(887\) | 3.25519 | + | 1.18479i | 0.109299 | + | 0.0397814i | 0.396091 | − | 0.918211i | \(-0.370367\pi\) |
−0.286792 | + | 0.957993i | \(0.592589\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.694593 | − | 3.93923i | 0.0232959 | − | 0.132118i | ||||
\(890\) | −15.5885 | −0.522526 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.00000 | 0.0669650 | ||||||||
\(893\) | −2.40614 | + | 13.6459i | −0.0805184 | + | 0.456643i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 33.8289 | + | 12.3127i | 1.13078 | + | 0.411569i | ||||
\(896\) | −18.5756 | + | 15.5868i | −0.620567 | + | 0.520717i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −33.8289 | + | 12.3127i | −1.12889 | + | 0.410881i | ||||
\(899\) | 6.92820 | − | 12.0000i | 0.231069 | − | 0.400222i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −31.8439 | − | 26.7202i | −1.06028 | − | 0.889685i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.520945 | + | 2.95442i | 0.0173264 | + | 0.0982627i | ||||
\(905\) | 0.601535 | + | 3.41147i | 0.0199957 | + | 0.113401i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −39.8343 | − | 33.4250i | −1.32268 | − | 1.10986i | −0.985730 | − | 0.168334i | \(-0.946161\pi\) |
−0.336947 | − | 0.941524i | \(-0.609394\pi\) | |||||||
\(908\) | −1.73205 | − | 3.00000i | −0.0574801 | − | 0.0995585i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.00000 | + | 5.19615i | −0.0994490 | + | 0.172251i | ||||
\(911\) | −22.7863 | + | 8.29355i | −0.754945 | + | 0.274777i | −0.690685 | − | 0.723156i | \(-0.742691\pi\) |
−0.0642599 | + | 0.997933i | \(0.520469\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 36.7701 | − | 30.8538i | 1.21691 | − | 1.02111i | ||||
\(914\) | 47.2003 | + | 17.1795i | 1.56125 | + | 0.568247i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.173648 | + | 0.984808i | −0.00573750 | + | 0.0325390i | ||||
\(917\) | −6.92820 | −0.228789 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.00000 | 0.0659739 | 0.0329870 | − | 0.999456i | \(-0.489498\pi\) | ||||
0.0329870 | + | 0.999456i | \(0.489498\pi\) | |||||||
\(920\) | −1.80460 | + | 10.2344i | −0.0594961 | + | 0.337419i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.5526 | + | 8.20848i | 0.742731 | + | 0.270332i | ||||
\(923\) | −7.96097 | + | 6.68004i | −0.262038 | + | 0.219876i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.1557 | + | 4.78828i | −0.432557 | + | 0.157438i | ||||
\(926\) | 6.92820 | − | 12.0000i | 0.227675 | − | 0.394344i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.50000 | + | 7.79423i | 0.147720 | + | 0.255858i | ||||
\(929\) | 38.4780 | + | 32.2869i | 1.26242 | + | 1.05930i | 0.995420 | + | 0.0956026i | \(0.0304778\pi\) |
0.267003 | + | 0.963696i | \(0.413967\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.04189 | − | 5.90885i | −0.0341465 | − | 0.193655i | ||||
\(932\) | 4.51151 | + | 25.5861i | 0.147779 | + | 0.838099i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −27.5776 | − | 23.1404i | −0.902367 | − | 0.757176i | ||||
\(935\) | 15.5885 | + | 27.0000i | 0.509797 | + | 0.882994i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.5000 | − | 21.6506i | 0.408357 | − | 0.707295i | −0.586349 | − | 0.810059i | \(-0.699435\pi\) |
0.994706 | + | 0.102763i | \(0.0327685\pi\) | |||||||
\(938\) | −32.5519 | + | 11.8479i | −1.06286 | + | 0.386848i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.19253 | + | 7.71345i | −0.299827 | + | 0.251585i | ||||
\(941\) | 47.2003 | + | 17.1795i | 1.53868 | + | 0.560035i | 0.965729 | − | 0.259551i | \(-0.0835746\pi\) |
0.572955 | + | 0.819587i | \(0.305797\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.16756 | + | 23.6354i | −0.135714 | + | 0.769674i | ||||
\(944\) | 69.2820 | 2.25494 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.0000 | −0.390154 | ||||||||
\(947\) | −3.00767 | + | 17.0574i | −0.0977363 | + | 0.554290i | 0.896138 | + | 0.443775i | \(0.146361\pi\) |
−0.993874 | + | 0.110515i | \(0.964750\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.57785 | − | 2.39414i | −0.213526 | − | 0.0777171i | ||||
\(950\) | 5.30731 | − | 4.45336i | 0.172192 | − | 0.144486i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.9145 | − | 6.15636i | 0.548201 | − | 0.199529i | ||||
\(953\) | −2.59808 | + | 4.50000i | −0.0841599 | + | 0.145769i | −0.905033 | − | 0.425341i | \(-0.860154\pi\) |
0.820873 | + | 0.571111i | \(0.193487\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.0000 | + | 25.9808i | 0.485389 | + | 0.840718i | ||||
\(956\) | 21.2292 | + | 17.8135i | 0.686603 | + | 0.576128i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.29322 | − | 41.3619i | −0.235633 | − | 1.33634i | ||||
\(959\) | −0.601535 | − | 3.41147i | −0.0194246 | − | 0.110162i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.2795 | + | 21.2120i | 0.815467 | + | 0.684258i | ||||
\(962\) | 6.06218 | + | 10.5000i | 0.195452 | + | 0.338534i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.5000 | + | 25.1147i | −0.467014 | + | 0.808891i | ||||
\(965\) | 1.62760 | − | 0.592396i | 0.0523941 | − | 0.0190699i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −35.2380 | + | 29.5682i | −1.13318 | + | 0.950850i | −0.999194 | − | 0.0401332i | \(-0.987222\pi\) |
−0.133985 | + | 0.990983i | \(0.542777\pi\) | |||||||
\(968\) | −1.62760 | − | 0.592396i | −0.0523129 | − | 0.0190403i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.04189 | + | 5.90885i | −0.0334530 | + | 0.189722i | ||||
\(971\) | −31.1769 | −1.00051 | −0.500257 | − | 0.865877i | \(-0.666761\pi\) | ||||
−0.500257 | + | 0.865877i | \(0.666761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.0000 | 0.512936 | ||||||||
\(974\) | 4.81228 | − | 27.2918i | 0.154195 | − | 0.874485i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −32.8892 | − | 11.9707i | −1.05276 | − | 0.383173i | ||||
\(977\) | 37.1512 | − | 31.1735i | 1.18857 | − | 0.997330i | 0.188689 | − | 0.982037i | \(-0.439576\pi\) |
0.999883 | − | 0.0152930i | \(-0.00486810\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.9145 | + | 6.15636i | −0.540589 | + | 0.196758i | ||||
\(980\) | 2.59808 | − | 4.50000i | 0.0829925 | − | 0.143747i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.0000 | + | 25.9808i | 0.478669 | + | 0.829079i | ||||
\(983\) | 26.5366 | + | 22.2668i | 0.846385 | + | 0.710201i | 0.958990 | − | 0.283439i | \(-0.0914752\pi\) |
−0.112606 | + | 0.993640i | \(0.535920\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.56283 | + | 8.86327i | 0.0497960 | + | 0.282407i | ||||
\(986\) | −2.70691 | − | 15.3516i | −0.0862055 | − | 0.488896i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.53209 | − | 1.28558i | −0.0487422 | − | 0.0408996i | ||||
\(989\) | 3.46410 | + | 6.00000i | 0.110152 | + | 0.190789i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.0000 | − | 29.4449i | 0.540023 | − | 0.935347i | −0.458879 | − | 0.888499i | \(-0.651749\pi\) |
0.998902 | − | 0.0468483i | \(-0.0149177\pi\) | |||||||
\(992\) | −39.0623 | + | 14.2175i | −1.24023 | + | 0.451406i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −27.5776 | + | 23.1404i | −0.874708 | + | 0.733967i | ||||
\(995\) | −32.5519 | − | 11.8479i | −1.03196 | − | 0.375604i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.21554 | + | 6.89365i | −0.0384965 | + | 0.218324i | −0.997987 | − | 0.0634160i | \(-0.979801\pi\) |
0.959491 | + | 0.281740i | \(0.0909116\pi\) | |||||||
\(998\) | 17.3205 | 0.548271 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))