Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 148.3 | ||
Root | \(0.247934 + 0.429435i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.148 |
Dual form | 441.2.f.f.295.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.247934 | + | 0.429435i | 0.175316 | + | 0.303656i | 0.940271 | − | 0.340428i | \(-0.110572\pi\) |
−0.764955 | + | 0.644084i | \(0.777239\pi\) | |||||||
\(3\) | 1.37706 | + | 1.05058i | 0.795044 | + | 0.606551i | ||||
\(4\) | 0.877057 | − | 1.51911i | 0.438529 | − | 0.759554i | ||||
\(5\) | −1.84629 | + | 3.19787i | −0.825686 | + | 1.43013i | 0.0757082 | + | 0.997130i | \(0.475878\pi\) |
−0.901394 | + | 0.433000i | \(0.857455\pi\) | |||||||
\(6\) | −0.109735 | + | 0.851830i | −0.0447990 | + | 0.347758i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.86155 | 0.658156 | ||||||||
\(9\) | 0.792574 | + | 2.89341i | 0.264191 | + | 0.964470i | ||||
\(10\) | −1.83103 | −0.579023 | ||||||||
\(11\) | 0.446284 | + | 0.772987i | 0.134560 | + | 0.233064i | 0.925429 | − | 0.378921i | \(-0.123705\pi\) |
−0.790869 | + | 0.611985i | \(0.790371\pi\) | |||||||
\(12\) | 2.80370 | − | 1.17048i | 0.809358 | − | 0.337889i | ||||
\(13\) | −0.598355 | + | 1.03638i | −0.165954 | + | 0.287441i | −0.936994 | − | 0.349346i | \(-0.886404\pi\) |
0.771040 | + | 0.636787i | \(0.219737\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.90205 | + | 2.46398i | −1.52390 | + | 0.636196i | ||||
\(16\) | −1.29257 | − | 2.23880i | −0.323143 | − | 0.559701i | ||||
\(17\) | −0.249983 | −0.0606298 | −0.0303149 | − | 0.999540i | \(-0.509651\pi\) | ||||
−0.0303149 | + | 0.999540i | \(0.509651\pi\) | |||||||
\(18\) | −1.04602 | + | 1.05773i | −0.246550 | + | 0.249310i | ||||
\(19\) | 2.80827 | 0.644262 | 0.322131 | − | 0.946695i | \(-0.395601\pi\) | ||||
0.322131 | + | 0.946695i | \(0.395601\pi\) | |||||||
\(20\) | 3.23860 | + | 5.60943i | 0.724174 | + | 1.25431i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.221298 | + | 0.383300i | −0.0471809 | + | 0.0817198i | ||||
\(23\) | −1.23886 | + | 2.14576i | −0.258320 | + | 0.447423i | −0.965792 | − | 0.259318i | \(-0.916502\pi\) |
0.707472 | + | 0.706741i | \(0.249835\pi\) | |||||||
\(24\) | 2.56346 | + | 1.95570i | 0.523263 | + | 0.399205i | ||||
\(25\) | −4.31757 | − | 7.47825i | −0.863514 | − | 1.49565i | ||||
\(26\) | −0.593411 | −0.116377 | ||||||||
\(27\) | −1.94833 | + | 4.81705i | −0.374957 | + | 0.927042i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.07128 | + | 3.58755i | 0.384626 | + | 0.666192i | 0.991717 | − | 0.128440i | \(-0.0409970\pi\) |
−0.607091 | + | 0.794632i | \(0.707664\pi\) | |||||||
\(30\) | −2.52144 | − | 1.92364i | −0.460349 | − | 0.351207i | ||||
\(31\) | 1.79257 | − | 3.10483i | 0.321956 | − | 0.557644i | −0.658936 | − | 0.752199i | \(-0.728993\pi\) |
0.980892 | + | 0.194555i | \(0.0623264\pi\) | |||||||
\(32\) | 2.50249 | − | 4.33444i | 0.442382 | − | 0.766229i | ||||
\(33\) | −0.197524 | + | 1.53330i | −0.0343845 | + | 0.266914i | ||||
\(34\) | −0.0619793 | − | 0.107351i | −0.0106294 | − | 0.0184106i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.09054 | + | 1.33368i | 0.848423 | + | 0.222280i | ||||
\(37\) | 4.73136 | 0.777830 | 0.388915 | − | 0.921274i | \(-0.372850\pi\) | ||||
0.388915 | + | 0.921274i | \(0.372850\pi\) | |||||||
\(38\) | 0.696267 | + | 1.20597i | 0.112949 | + | 0.195634i | ||||
\(39\) | −1.91277 | + | 0.798539i | −0.306288 | + | 0.127869i | ||||
\(40\) | −3.43695 | + | 5.95298i | −0.543430 | + | 0.941249i | ||||
\(41\) | 2.39093 | − | 4.14121i | 0.373400 | − | 0.646748i | −0.616686 | − | 0.787209i | \(-0.711525\pi\) |
0.990086 | + | 0.140461i | \(0.0448584\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.98928 | − | 8.64169i | −0.760859 | − | 1.31785i | −0.942408 | − | 0.334464i | \(-0.891445\pi\) |
0.181550 | − | 0.983382i | \(-0.441889\pi\) | |||||||
\(44\) | 1.56567 | 0.236033 | ||||||||
\(45\) | −10.7161 | − | 2.80753i | −1.59746 | − | 0.418522i | ||||
\(46\) | −1.22862 | −0.181150 | ||||||||
\(47\) | −5.08653 | − | 8.81013i | −0.741947 | − | 1.28509i | −0.951608 | − | 0.307316i | \(-0.900569\pi\) |
0.209661 | − | 0.977774i | \(-0.432764\pi\) | |||||||
\(48\) | 0.572088 | − | 4.44091i | 0.0825738 | − | 0.640990i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.14095 | − | 3.70823i | 0.302776 | − | 0.524423i | ||||
\(51\) | −0.344241 | − | 0.262626i | −0.0482034 | − | 0.0367751i | ||||
\(52\) | 1.04958 | + | 1.81793i | 0.145551 | + | 0.252102i | ||||
\(53\) | 9.88929 | 1.35840 | 0.679199 | − | 0.733954i | \(-0.262327\pi\) | ||||
0.679199 | + | 0.733954i | \(0.262327\pi\) | |||||||
\(54\) | −2.55167 | + | 0.357630i | −0.347238 | + | 0.0486673i | ||||
\(55\) | −3.29588 | −0.444416 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.86715 | + | 2.95031i | 0.512217 | + | 0.390778i | ||||
\(58\) | −1.02708 | + | 1.77895i | −0.134862 | + | 0.233588i | ||||
\(59\) | 0.906186 | − | 1.56956i | 0.117975 | − | 0.204339i | −0.800990 | − | 0.598678i | \(-0.795693\pi\) |
0.918965 | + | 0.394339i | \(0.129026\pi\) | |||||||
\(60\) | −1.43339 | + | 11.1269i | −0.185050 | + | 1.43648i | ||||
\(61\) | 5.40205 | + | 9.35663i | 0.691662 | + | 1.19799i | 0.971293 | + | 0.237886i | \(0.0764546\pi\) |
−0.279631 | + | 0.960108i | \(0.590212\pi\) | |||||||
\(62\) | 1.77776 | 0.225776 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.68848 | −0.336060 | ||||||||
\(65\) | −2.20948 | − | 3.82692i | −0.274052 | − | 0.474671i | ||||
\(66\) | −0.707426 | + | 0.295335i | −0.0870781 | + | 0.0363532i | ||||
\(67\) | −0.514685 | + | 0.891460i | −0.0628787 | + | 0.108909i | −0.895751 | − | 0.444556i | \(-0.853361\pi\) |
0.832872 | + | 0.553465i | \(0.186695\pi\) | |||||||
\(68\) | −0.219249 | + | 0.379751i | −0.0265879 | + | 0.0460516i | ||||
\(69\) | −3.96027 | + | 1.65332i | −0.476761 | + | 0.199037i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.94533 | −0.586903 | −0.293451 | − | 0.955974i | \(-0.594804\pi\) | ||||
−0.293451 | + | 0.955974i | \(0.594804\pi\) | |||||||
\(72\) | 1.47541 | + | 5.38622i | 0.173879 | + | 0.634772i | ||||
\(73\) | −1.83052 | −0.214247 | −0.107123 | − | 0.994246i | \(-0.534164\pi\) | ||||
−0.107123 | + | 0.994246i | \(0.534164\pi\) | |||||||
\(74\) | 1.17306 | + | 2.03181i | 0.136366 | + | 0.236193i | ||||
\(75\) | 1.91094 | − | 14.8339i | 0.220656 | − | 1.71287i | ||||
\(76\) | 2.46302 | − | 4.26607i | 0.282527 | − | 0.489352i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.817161 | − | 0.623424i | −0.0925253 | − | 0.0705889i | ||||
\(79\) | 0.899562 | + | 1.55809i | 0.101209 | + | 0.175298i | 0.912183 | − | 0.409783i | \(-0.134396\pi\) |
−0.810974 | + | 0.585082i | \(0.801062\pi\) | |||||||
\(80\) | 9.54586 | 1.06726 | ||||||||
\(81\) | −7.74365 | + | 4.58648i | −0.860406 | + | 0.509609i | ||||
\(82\) | 2.37117 | 0.261852 | ||||||||
\(83\) | −6.16156 | − | 10.6721i | −0.676319 | − | 1.17142i | −0.976082 | − | 0.217405i | \(-0.930241\pi\) |
0.299763 | − | 0.954014i | \(-0.403092\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.461541 | − | 0.799412i | 0.0500611 | − | 0.0867084i | ||||
\(86\) | 2.47403 | − | 4.28514i | 0.266781 | − | 0.462079i | ||||
\(87\) | −0.916739 | + | 7.11630i | −0.0982847 | + | 0.762948i | ||||
\(88\) | 0.830779 | + | 1.43895i | 0.0885613 | + | 0.153393i | ||||
\(89\) | −2.40741 | −0.255185 | −0.127592 | − | 0.991827i | \(-0.540725\pi\) | ||||
−0.127592 | + | 0.991827i | \(0.540725\pi\) | |||||||
\(90\) | −1.45123 | − | 5.29793i | −0.152973 | − | 0.558451i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.17310 | + | 3.76392i | 0.226561 | + | 0.392416i | ||||
\(93\) | 5.73034 | − | 2.39229i | 0.594209 | − | 0.248069i | ||||
\(94\) | 2.52225 | − | 4.36867i | 0.260150 | − | 0.450593i | ||||
\(95\) | −5.18489 | + | 8.98049i | −0.531958 | + | 0.921379i | ||||
\(96\) | 7.99975 | − | 3.33972i | 0.816471 | − | 0.340858i | ||||
\(97\) | −5.52210 | − | 9.56456i | −0.560684 | − | 0.971134i | −0.997437 | − | 0.0715522i | \(-0.977205\pi\) |
0.436752 | − | 0.899582i | \(-0.356129\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.88286 | + | 1.90393i | −0.189234 | + | 0.191352i | ||||
\(100\) | −15.1470 | −1.51470 | ||||||||
\(101\) | −1.29982 | − | 2.25136i | −0.129337 | − | 0.224018i | 0.794083 | − | 0.607810i | \(-0.207952\pi\) |
−0.923420 | + | 0.383791i | \(0.874618\pi\) | |||||||
\(102\) | 0.0274318 | − | 0.212943i | 0.00271615 | − | 0.0210845i | ||||
\(103\) | 4.85578 | − | 8.41045i | 0.478454 | − | 0.828706i | −0.521241 | − | 0.853409i | \(-0.674531\pi\) |
0.999695 | + | 0.0247032i | \(0.00786408\pi\) | |||||||
\(104\) | −1.11387 | + | 1.92927i | −0.109224 | + | 0.189181i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.45189 | + | 4.24680i | 0.238149 | + | 0.412486i | ||||
\(107\) | 10.9005 | 1.05379 | 0.526896 | − | 0.849930i | \(-0.323356\pi\) | ||||
0.526896 | + | 0.849930i | \(0.323356\pi\) | |||||||
\(108\) | 5.60882 | + | 7.18456i | 0.539709 | + | 0.691335i | ||||
\(109\) | 2.12193 | 0.203244 | 0.101622 | − | 0.994823i | \(-0.467597\pi\) | ||||
0.101622 | + | 0.994823i | \(0.467597\pi\) | |||||||
\(110\) | −0.817161 | − | 1.41536i | −0.0779132 | − | 0.134950i | ||||
\(111\) | 6.51535 | + | 4.97066i | 0.618410 | + | 0.471794i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.91318 | − | 13.7060i | 0.744409 | − | 1.28935i | −0.206061 | − | 0.978539i | \(-0.566065\pi\) |
0.950470 | − | 0.310816i | \(-0.100602\pi\) | |||||||
\(114\) | −0.308165 | + | 2.39217i | −0.0288623 | + | 0.224047i | ||||
\(115\) | −4.57458 | − | 7.92341i | −0.426582 | − | 0.738861i | ||||
\(116\) | 7.26651 | 0.674679 | ||||||||
\(117\) | −3.47292 | − | 0.909879i | −0.321072 | − | 0.0841183i | ||||
\(118\) | 0.898698 | 0.0827318 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −10.9869 | + | 4.58681i | −1.00297 | + | 0.418716i | ||||
\(121\) | 5.10166 | − | 8.83634i | 0.463787 | − | 0.803303i | ||||
\(122\) | −2.67871 | + | 4.63966i | −0.242519 | + | 0.420055i | ||||
\(123\) | 7.64311 | − | 3.19083i | 0.689156 | − | 0.287707i | ||||
\(124\) | −3.14438 | − | 5.44623i | −0.282374 | − | 0.489086i | ||||
\(125\) | 13.4230 | 1.20059 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.26946 | −0.112647 | −0.0563233 | − | 0.998413i | \(-0.517938\pi\) | ||||
−0.0563233 | + | 0.998413i | \(0.517938\pi\) | |||||||
\(128\) | −5.67155 | − | 9.82342i | −0.501299 | − | 0.868275i | ||||
\(129\) | 2.20824 | − | 17.1417i | 0.194425 | − | 1.50925i | ||||
\(130\) | 1.09561 | − | 1.89765i | 0.0960912 | − | 0.166435i | ||||
\(131\) | −7.51444 | + | 13.0154i | −0.656540 | + | 1.13716i | 0.324965 | + | 0.945726i | \(0.394647\pi\) |
−0.981505 | + | 0.191435i | \(0.938686\pi\) | |||||||
\(132\) | 2.15601 | + | 1.64485i | 0.187657 | + | 0.143166i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.510432 | −0.0440946 | ||||||||
\(135\) | −11.8071 | − | 15.1242i | −1.01619 | − | 1.30168i | ||||
\(136\) | −0.465355 | −0.0399038 | ||||||||
\(137\) | 0.244246 | + | 0.423047i | 0.0208674 | + | 0.0361433i | 0.876271 | − | 0.481819i | \(-0.160024\pi\) |
−0.855403 | + | 0.517963i | \(0.826691\pi\) | |||||||
\(138\) | −1.69188 | − | 1.29076i | −0.144022 | − | 0.109877i | ||||
\(139\) | 4.93487 | − | 8.54745i | 0.418570 | − | 0.724985i | −0.577226 | − | 0.816585i | \(-0.695865\pi\) |
0.995796 | + | 0.0915997i | \(0.0291980\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.25128 | − | 17.4759i | 0.189592 | − | 1.47173i | ||||
\(142\) | −1.22612 | − | 2.12370i | −0.102893 | − | 0.178217i | ||||
\(143\) | −1.06815 | −0.0893229 | ||||||||
\(144\) | 5.45332 | − | 5.51436i | 0.454443 | − | 0.459530i | ||||
\(145\) | −15.2967 | −1.27032 | ||||||||
\(146\) | −0.453849 | − | 0.786090i | −0.0375609 | − | 0.0650573i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.14967 | − | 7.18744i | 0.341101 | − | 0.590804i | ||||
\(149\) | −10.5120 | + | 18.2073i | −0.861175 | + | 1.49160i | 0.00962096 | + | 0.999954i | \(0.496938\pi\) |
−0.870796 | + | 0.491645i | \(0.836396\pi\) | |||||||
\(150\) | 6.84399 | − | 2.85721i | 0.558809 | − | 0.233290i | ||||
\(151\) | −0.749191 | − | 1.29764i | −0.0609683 | − | 0.105600i | 0.833930 | − | 0.551870i | \(-0.186086\pi\) |
−0.894898 | + | 0.446270i | \(0.852752\pi\) | |||||||
\(152\) | 5.22773 | 0.424025 | ||||||||
\(153\) | −0.198130 | − | 0.723303i | −0.0160179 | − | 0.0584756i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.61922 | + | 11.4648i | 0.531669 | + | 0.920877i | ||||
\(156\) | −0.464542 | + | 3.60607i | −0.0371931 | + | 0.288716i | ||||
\(157\) | −8.33982 | + | 14.4450i | −0.665590 | + | 1.15284i | 0.313535 | + | 0.949577i | \(0.398487\pi\) |
−0.979125 | + | 0.203259i | \(0.934847\pi\) | |||||||
\(158\) | −0.446064 | + | 0.772606i | −0.0354870 | + | 0.0614652i | ||||
\(159\) | 13.6181 | + | 10.3895i | 1.07999 | + | 0.823938i | ||||
\(160\) | 9.24065 | + | 16.0053i | 0.730538 | + | 1.26533i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.88951 | − | 2.18825i | −0.305589 | − | 0.171925i | ||||
\(163\) | 6.68269 | 0.523429 | 0.261714 | − | 0.965145i | \(-0.415712\pi\) | ||||
0.261714 | + | 0.965145i | \(0.415712\pi\) | |||||||
\(164\) | −4.19396 | − | 7.26416i | −0.327494 | − | 0.567236i | ||||
\(165\) | −4.53861 | − | 3.46258i | −0.353331 | − | 0.269561i | ||||
\(166\) | 3.05532 | − | 5.29197i | 0.237139 | − | 0.410737i | ||||
\(167\) | −8.81549 | + | 15.2689i | −0.682163 | + | 1.18154i | 0.292156 | + | 0.956371i | \(0.405627\pi\) |
−0.974319 | + | 0.225170i | \(0.927706\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.78394 | + | 10.0181i | 0.444919 | + | 0.770622i | ||||
\(170\) | 0.457727 | 0.0351061 | ||||||||
\(171\) | 2.22576 | + | 8.12549i | 0.170208 | + | 0.621372i | ||||
\(172\) | −17.5036 | −1.33463 | ||||||||
\(173\) | −1.94342 | − | 3.36611i | −0.147756 | − | 0.255920i | 0.782642 | − | 0.622472i | \(-0.213872\pi\) |
−0.930398 | + | 0.366552i | \(0.880538\pi\) | |||||||
\(174\) | −3.28328 | + | 1.37070i | −0.248905 | + | 0.103912i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.15371 | − | 1.99829i | 0.0869642 | − | 0.150626i | ||||
\(177\) | 2.89681 | − | 1.20936i | 0.217738 | − | 0.0909007i | ||||
\(178\) | −0.596879 | − | 1.03382i | −0.0447380 | − | 0.0774884i | ||||
\(179\) | −7.33516 | −0.548256 | −0.274128 | − | 0.961693i | \(-0.588389\pi\) | ||||
−0.274128 | + | 0.961693i | \(0.588389\pi\) | |||||||
\(180\) | −13.6635 | + | 13.8165i | −1.01842 | + | 1.02982i | ||||
\(181\) | −11.2566 | −0.836693 | −0.418346 | − | 0.908288i | \(-0.637390\pi\) | ||||
−0.418346 | + | 0.908288i | \(0.637390\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.39093 | + | 18.5599i | −0.176743 | + | 1.37199i | ||||
\(184\) | −2.30619 | + | 3.99444i | −0.170015 | + | 0.294474i | ||||
\(185\) | −8.73545 | + | 15.1302i | −0.642243 | + | 1.11240i | ||||
\(186\) | 2.44808 | + | 1.86768i | 0.179502 | + | 0.136945i | ||||
\(187\) | −0.111563 | − | 0.193234i | −0.00815833 | − | 0.0141306i | ||||
\(188\) | −17.8447 | −1.30146 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.14204 | −0.373043 | ||||||||
\(191\) | 11.9230 | + | 20.6512i | 0.862715 | + | 1.49427i | 0.869298 | + | 0.494288i | \(0.164571\pi\) |
−0.00658302 | + | 0.999978i | \(0.502095\pi\) | |||||||
\(192\) | −3.70219 | − | 2.82446i | −0.267183 | − | 0.203838i | ||||
\(193\) | −2.96728 | + | 5.13948i | −0.213589 | + | 0.369948i | −0.952835 | − | 0.303488i | \(-0.901849\pi\) |
0.739246 | + | 0.673436i | \(0.235182\pi\) | |||||||
\(194\) | 2.73823 | − | 4.74276i | 0.196594 | − | 0.340510i | ||||
\(195\) | 0.977905 | − | 7.59112i | 0.0700293 | − | 0.543611i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −15.4682 | −1.10206 | −0.551032 | − | 0.834484i | \(-0.685766\pi\) | ||||
−0.551032 | + | 0.834484i | \(0.685766\pi\) | |||||||
\(198\) | −1.28444 | − | 0.336513i | −0.0912811 | − | 0.0239150i | ||||
\(199\) | 15.4964 | 1.09851 | 0.549254 | − | 0.835655i | \(-0.314912\pi\) | ||||
0.549254 | + | 0.835655i | \(0.314912\pi\) | |||||||
\(200\) | −8.03736 | − | 13.9211i | −0.568327 | − | 0.984371i | ||||
\(201\) | −1.64530 | + | 0.686875i | −0.116050 | + | 0.0484485i | ||||
\(202\) | 0.644540 | − | 1.11638i | 0.0453497 | − | 0.0785480i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.700877 | + | 0.292600i | −0.0490712 | + | 0.0204861i | ||||
\(205\) | 8.82870 | + | 15.2917i | 0.616623 | + | 1.06802i | ||||
\(206\) | 4.81565 | 0.335522 | ||||||||
\(207\) | −7.19047 | − | 1.88385i | −0.499772 | − | 0.130936i | ||||
\(208\) | 3.09367 | 0.214508 | ||||||||
\(209\) | 1.25329 | + | 2.17076i | 0.0866918 | + | 0.150155i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.771898 | − | 1.33697i | 0.0531397 | − | 0.0920406i | −0.838232 | − | 0.545314i | \(-0.816410\pi\) |
0.891372 | + | 0.453273i | \(0.149744\pi\) | |||||||
\(212\) | 8.67347 | − | 15.0229i | 0.595697 | − | 1.03178i | ||||
\(213\) | −6.81001 | − | 5.19545i | −0.466614 | − | 0.355987i | ||||
\(214\) | 2.70261 | + | 4.68105i | 0.184746 | + | 0.319990i | ||||
\(215\) | 36.8467 | 2.51292 | ||||||||
\(216\) | −3.62691 | + | 8.96717i | −0.246780 | + | 0.610138i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.526098 | + | 0.911229i | 0.0356319 | + | 0.0617162i | ||||
\(219\) | −2.52074 | − | 1.92311i | −0.170336 | − | 0.129952i | ||||
\(220\) | −2.89068 | + | 5.00680i | −0.194889 | + | 0.337558i | ||||
\(221\) | 0.149579 | − | 0.259078i | 0.0100617 | − | 0.0174275i | ||||
\(222\) | −0.519194 | + | 4.03031i | −0.0348460 | + | 0.270497i | ||||
\(223\) | 2.72171 | + | 4.71414i | 0.182259 | + | 0.315682i | 0.942649 | − | 0.333784i | \(-0.108326\pi\) |
−0.760390 | + | 0.649466i | \(0.774992\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.2157 | − | 18.4196i | 1.21438 | − | 1.22797i | ||||
\(226\) | 7.84779 | 0.522027 | ||||||||
\(227\) | −8.03818 | − | 13.9225i | −0.533513 | − | 0.924072i | −0.999234 | − | 0.0391399i | \(-0.987538\pi\) |
0.465721 | − | 0.884932i | \(-0.345795\pi\) | |||||||
\(228\) | 7.87356 | − | 3.28703i | 0.521439 | − | 0.217689i | ||||
\(229\) | −4.98420 | + | 8.63289i | −0.329365 | + | 0.570477i | −0.982386 | − | 0.186863i | \(-0.940168\pi\) |
0.653021 | + | 0.757340i | \(0.273501\pi\) | |||||||
\(230\) | 2.26839 | − | 3.92897i | 0.149573 | − | 0.259068i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.85578 | + | 6.67840i | 0.253144 | + | 0.438458i | ||||
\(233\) | −16.5409 | −1.08363 | −0.541815 | − | 0.840498i | \(-0.682263\pi\) | ||||
−0.541815 | + | 0.840498i | \(0.682263\pi\) | |||||||
\(234\) | −0.470322 | − | 1.71698i | −0.0307459 | − | 0.112243i | ||||
\(235\) | 37.5648 | 2.45046 | ||||||||
\(236\) | −1.58955 | − | 2.75319i | −0.103471 | − | 0.179217i | ||||
\(237\) | −0.398143 | + | 3.09063i | −0.0258621 | + | 0.200758i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.0119 | + | 19.0732i | −0.712303 | + | 1.23375i | 0.251687 | + | 0.967809i | \(0.419015\pi\) |
−0.963990 | + | 0.265937i | \(0.914319\pi\) | |||||||
\(240\) | 13.1452 | + | 10.0287i | 0.848519 | + | 0.647348i | ||||
\(241\) | 8.36004 | + | 14.4800i | 0.538517 | + | 0.932739i | 0.998984 | + | 0.0450623i | \(0.0143486\pi\) |
−0.460467 | + | 0.887677i | \(0.652318\pi\) | |||||||
\(242\) | 5.05950 | 0.325237 | ||||||||
\(243\) | −15.4819 | − | 1.81946i | −0.993165 | − | 0.116718i | ||||
\(244\) | 18.9516 | 1.21325 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.26524 | + | 2.49110i | 0.208184 | + | 0.158827i | ||||
\(247\) | −1.68035 | + | 2.91045i | −0.106918 | + | 0.185187i | ||||
\(248\) | 3.33696 | − | 5.77978i | 0.211897 | − | 0.367017i | ||||
\(249\) | 2.72708 | − | 21.1693i | 0.172822 | − | 1.34155i | ||||
\(250\) | 3.32803 | + | 5.76432i | 0.210483 | + | 0.364568i | ||||
\(251\) | 8.53099 | 0.538471 | 0.269236 | − | 0.963074i | \(-0.413229\pi\) | ||||
0.269236 | + | 0.963074i | \(0.413229\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.21153 | −0.139038 | ||||||||
\(254\) | −0.314743 | − | 0.545151i | −0.0197488 | − | 0.0342058i | ||||
\(255\) | 1.47541 | − | 0.615952i | 0.0923939 | − | 0.0385724i | ||||
\(256\) | 0.123861 | − | 0.214533i | 0.00774131 | − | 0.0134083i | ||||
\(257\) | −8.55986 | + | 14.8261i | −0.533950 | + | 0.924828i | 0.465264 | + | 0.885172i | \(0.345959\pi\) |
−0.999213 | + | 0.0396557i | \(0.987374\pi\) | |||||||
\(258\) | 7.90875 | − | 3.30173i | 0.492377 | − | 0.205557i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.75135 | −0.480718 | ||||||||
\(261\) | −8.73863 | + | 8.83645i | −0.540908 | + | 0.546963i | ||||
\(262\) | −7.45235 | −0.460408 | ||||||||
\(263\) | −10.2763 | − | 17.7991i | −0.633666 | − | 1.09754i | −0.986796 | − | 0.161967i | \(-0.948216\pi\) |
0.353130 | − | 0.935574i | \(-0.385117\pi\) | |||||||
\(264\) | −0.367700 | + | 2.85432i | −0.0226303 | + | 0.175671i | ||||
\(265\) | −18.2585 | + | 31.6246i | −1.12161 | + | 1.94269i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.31514 | − | 2.52917i | −0.202883 | − | 0.154783i | ||||
\(268\) | 0.902816 | + | 1.56372i | 0.0551483 | + | 0.0955196i | ||||
\(269\) | 19.8453 | 1.20999 | 0.604996 | − | 0.796229i | \(-0.293175\pi\) | ||||
0.604996 | + | 0.796229i | \(0.293175\pi\) | |||||||
\(270\) | 3.56746 | − | 8.82018i | 0.217109 | − | 0.536779i | ||||
\(271\) | 10.6411 | 0.646402 | 0.323201 | − | 0.946330i | \(-0.395241\pi\) | ||||
0.323201 | + | 0.946330i | \(0.395241\pi\) | |||||||
\(272\) | 0.323121 | + | 0.559663i | 0.0195921 | + | 0.0339345i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.121114 | + | 0.209776i | −0.00731676 | + | 0.0126730i | ||||
\(275\) | 3.85373 | − | 6.67485i | 0.232388 | − | 0.402509i | ||||
\(276\) | −0.961806 | + | 7.46614i | −0.0578939 | + | 0.449409i | ||||
\(277\) | 12.4407 | + | 21.5479i | 0.747487 | + | 1.29469i | 0.949024 | + | 0.315205i | \(0.102073\pi\) |
−0.201536 | + | 0.979481i | \(0.564593\pi\) | |||||||
\(278\) | 4.89409 | 0.293528 | ||||||||
\(279\) | 10.4043 | + | 2.72585i | 0.622889 | + | 0.163192i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.83733 | − | 11.8426i | −0.407881 | − | 0.706470i | 0.586771 | − | 0.809753i | \(-0.300399\pi\) |
−0.994652 | + | 0.103282i | \(0.967065\pi\) | |||||||
\(282\) | 8.06290 | − | 3.36608i | 0.480139 | − | 0.200447i | ||||
\(283\) | 3.16089 | − | 5.47483i | 0.187896 | − | 0.325445i | −0.756653 | − | 0.653817i | \(-0.773167\pi\) |
0.944548 | + | 0.328372i | \(0.106500\pi\) | |||||||
\(284\) | −4.33734 | + | 7.51249i | −0.257374 | + | 0.445784i | ||||
\(285\) | −16.5746 | + | 6.91952i | −0.981794 | + | 0.409877i | ||||
\(286\) | −0.264830 | − | 0.458699i | −0.0156597 | − | 0.0271234i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 14.5247 | + | 3.80537i | 0.855878 | + | 0.224234i | ||||
\(289\) | −16.9375 | −0.996324 | ||||||||
\(290\) | −3.79257 | − | 6.56893i | −0.222708 | − | 0.385741i | ||||
\(291\) | 2.44406 | − | 18.9723i | 0.143273 | − | 1.11218i | ||||
\(292\) | −1.60547 | + | 2.78076i | −0.0939533 | + | 0.162732i | ||||
\(293\) | 1.31508 | − | 2.27778i | 0.0768277 | − | 0.133069i | −0.825052 | − | 0.565057i | \(-0.808854\pi\) |
0.901880 | + | 0.431987i | \(0.142188\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.34616 | + | 5.79573i | 0.194821 | + | 0.337440i | ||||
\(296\) | 8.80764 | 0.511934 | ||||||||
\(297\) | −4.59303 | + | 0.643739i | −0.266515 | + | 0.0373535i | ||||
\(298\) | −10.4251 | −0.603911 | ||||||||
\(299\) | −1.48255 | − | 2.56786i | −0.0857384 | − | 0.148503i | ||||
\(300\) | −20.8583 | − | 15.9131i | −1.20426 | − | 0.918745i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.371500 | − | 0.643457i | 0.0213774 | − | 0.0370268i | ||||
\(303\) | 0.575296 | − | 4.46581i | 0.0330499 | − | 0.256554i | ||||
\(304\) | −3.62990 | − | 6.28717i | −0.208189 | − | 0.360594i | ||||
\(305\) | −39.8950 | −2.28438 | ||||||||
\(306\) | 0.261488 | − | 0.264415i | 0.0149483 | − | 0.0151156i | ||||
\(307\) | 2.79496 | 0.159517 | 0.0797583 | − | 0.996814i | \(-0.474585\pi\) | ||||
0.0797583 | + | 0.996814i | \(0.474585\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.5225 | − | 6.48030i | 0.883045 | − | 0.368652i | ||||
\(310\) | −3.28226 | + | 5.68504i | −0.186420 | + | 0.322889i | ||||
\(311\) | −7.55013 | + | 13.0772i | −0.428129 | + | 0.741541i | −0.996707 | − | 0.0810885i | \(-0.974160\pi\) |
0.568578 | + | 0.822629i | \(0.307494\pi\) | |||||||
\(312\) | −3.56071 | + | 1.48652i | −0.201585 | + | 0.0841574i | ||||
\(313\) | −12.7392 | − | 22.0650i | −0.720064 | − | 1.24719i | −0.960974 | − | 0.276640i | \(-0.910779\pi\) |
0.240910 | − | 0.970548i | \(-0.422554\pi\) | |||||||
\(314\) | −8.27090 | −0.466754 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.15587 | 0.177531 | ||||||||
\(317\) | −16.2605 | − | 28.1639i | −0.913278 | − | 1.58184i | −0.809403 | − | 0.587253i | \(-0.800209\pi\) |
−0.103875 | − | 0.994590i | \(-0.533124\pi\) | |||||||
\(318\) | −1.08520 | + | 8.42399i | −0.0608549 | + | 0.472394i | ||||
\(319\) | −1.84875 | + | 3.20214i | −0.103510 | + | 0.179285i | ||||
\(320\) | 4.96372 | − | 8.59741i | 0.277480 | − | 0.480610i | ||||
\(321\) | 15.0106 | + | 11.4518i | 0.837811 | + | 0.639179i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.702021 | −0.0390615 | ||||||||
\(324\) | 0.175735 | + | 15.7861i | 0.00976303 | + | 0.877003i | ||||
\(325\) | 10.3338 | 0.573214 | ||||||||
\(326\) | 1.65687 | + | 2.86978i | 0.0917654 | + | 0.158942i | ||||
\(327\) | 2.92201 | + | 2.22925i | 0.161588 | + | 0.123278i | ||||
\(328\) | 4.45083 | − | 7.70906i | 0.245756 | − | 0.425661i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.361672 | − | 2.80753i | 0.0199094 | − | 0.154549i | ||||
\(331\) | −9.04741 | − | 15.6706i | −0.497291 | − | 0.861333i | 0.502704 | − | 0.864458i | \(-0.332338\pi\) |
−0.999995 | + | 0.00312545i | \(0.999005\pi\) | |||||||
\(332\) | −21.6162 | −1.18634 | ||||||||
\(333\) | 3.74995 | + | 13.6898i | 0.205496 | + | 0.750194i | ||||
\(334\) | −8.74264 | −0.478376 | ||||||||
\(335\) | −1.90051 | − | 3.29179i | −0.103836 | − | 0.179850i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.5086 | + | 21.6656i | −0.681389 | + | 1.18020i | 0.293168 | + | 0.956061i | \(0.405290\pi\) |
−0.974557 | + | 0.224139i | \(0.928043\pi\) | |||||||
\(338\) | −2.86807 | + | 4.96765i | −0.156003 | + | 0.270204i | ||||
\(339\) | 25.2961 | − | 10.5606i | 1.37390 | − | 0.573572i | ||||
\(340\) | −0.809596 | − | 1.40226i | −0.0439065 | − | 0.0760483i | ||||
\(341\) | 3.19999 | 0.173289 | ||||||||
\(342\) | −2.93752 | + | 2.97041i | −0.158843 | + | 0.160621i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −9.28778 | − | 16.0869i | −0.500764 | − | 0.867348i | ||||
\(345\) | 2.02469 | − | 15.7169i | 0.109006 | − | 0.846171i | ||||
\(346\) | 0.963682 | − | 1.66915i | 0.0518078 | − | 0.0897338i | ||||
\(347\) | −5.37444 | + | 9.30881i | −0.288515 | + | 0.499723i | −0.973456 | − | 0.228876i | \(-0.926495\pi\) |
0.684940 | + | 0.728599i | \(0.259828\pi\) | |||||||
\(348\) | 10.0064 | + | 7.63403i | 0.536399 | + | 0.409227i | ||||
\(349\) | 1.64301 | + | 2.84577i | 0.0879482 | + | 0.152331i | 0.906644 | − | 0.421897i | \(-0.138636\pi\) |
−0.818695 | + | 0.574228i | \(0.805302\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.82651 | − | 4.90153i | −0.204244 | − | 0.261624i | ||||
\(352\) | 4.46729 | 0.238107 | ||||||||
\(353\) | 8.40960 | + | 14.5658i | 0.447598 | + | 0.775262i | 0.998229 | − | 0.0594866i | \(-0.0189463\pi\) |
−0.550631 | + | 0.834748i | \(0.685613\pi\) | |||||||
\(354\) | 1.23756 | + | 0.944152i | 0.0657755 | + | 0.0501811i | ||||
\(355\) | 9.13051 | − | 15.8145i | 0.484597 | − | 0.839347i | ||||
\(356\) | −2.11144 | + | 3.65711i | −0.111906 | + | 0.193827i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.81864 | − | 3.14997i | −0.0961180 | − | 0.166481i | ||||
\(359\) | −23.7842 | −1.25528 | −0.627642 | − | 0.778502i | \(-0.715980\pi\) | ||||
−0.627642 | + | 0.778502i | \(0.715980\pi\) | |||||||
\(360\) | −19.9485 | − | 5.22634i | −1.05138 | − | 0.275453i | ||||
\(361\) | −11.1136 | −0.584926 | ||||||||
\(362\) | −2.79088 | − | 4.83395i | −0.146686 | − | 0.254067i | ||||
\(363\) | 16.3085 | − | 6.80845i | 0.855976 | − | 0.357351i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.37968 | − | 5.85377i | 0.176900 | − | 0.306401i | ||||
\(366\) | −8.56305 | + | 3.57488i | −0.447598 | + | 0.186862i | ||||
\(367\) | −0.344992 | − | 0.597544i | −0.0180084 | − | 0.0311915i | 0.856881 | − | 0.515515i | \(-0.172399\pi\) |
−0.874889 | + | 0.484323i | \(0.839066\pi\) | |||||||
\(368\) | 6.40526 | 0.333897 | ||||||||
\(369\) | 13.8772 | + | 3.63573i | 0.722419 | + | 0.189268i | ||||
\(370\) | −8.66327 | −0.450382 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.39169 | − | 10.8032i | 0.0721558 | − | 0.560119i | ||||
\(373\) | 1.88006 | − | 3.25636i | 0.0973457 | − | 0.168608i | −0.813239 | − | 0.581929i | \(-0.802298\pi\) |
0.910585 | + | 0.413321i | \(0.135631\pi\) | |||||||
\(374\) | 0.0553208 | − | 0.0958184i | 0.00286057 | − | 0.00495465i | ||||
\(375\) | 18.4843 | + | 14.1020i | 0.954525 | + | 0.728222i | ||||
\(376\) | −9.46882 | − | 16.4005i | −0.488317 | − | 0.845790i | ||||
\(377\) | −4.95744 | −0.255321 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.8735 | 1.68860 | 0.844300 | − | 0.535872i | \(-0.180017\pi\) | ||||
0.844300 | + | 0.535872i | \(0.180017\pi\) | |||||||
\(380\) | 9.09489 | + | 15.7528i | 0.466558 | + | 0.808102i | ||||
\(381\) | −1.74812 | − | 1.33367i | −0.0895591 | − | 0.0683260i | ||||
\(382\) | −5.91222 | + | 10.2403i | −0.302495 | + | 0.523937i | ||||
\(383\) | −0.536335 | + | 0.928960i | −0.0274055 | + | 0.0474676i | −0.879403 | − | 0.476078i | \(-0.842058\pi\) |
0.851997 | + | 0.523546i | \(0.175391\pi\) | |||||||
\(384\) | 2.51021 | − | 19.4858i | 0.128099 | − | 0.994381i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.94276 | −0.149782 | ||||||||
\(387\) | 21.0496 | − | 21.2852i | 1.07001 | − | 1.08199i | ||||
\(388\) | −19.3728 | −0.983505 | ||||||||
\(389\) | 11.8718 | + | 20.5626i | 0.601925 | + | 1.04256i | 0.992529 | + | 0.122006i | \(0.0389326\pi\) |
−0.390605 | + | 0.920559i | \(0.627734\pi\) | |||||||
\(390\) | 3.50234 | − | 1.46215i | 0.177348 | − | 0.0740389i | ||||
\(391\) | 0.309693 | − | 0.536405i | 0.0156619 | − | 0.0271271i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24.0215 | + | 10.0284i | −1.21172 | + | 0.505868i | ||||
\(394\) | −3.83510 | − | 6.64258i | −0.193209 | − | 0.334648i | ||||
\(395\) | −6.64340 | −0.334266 | ||||||||
\(396\) | 1.24091 | + | 4.53012i | 0.0623579 | + | 0.227647i | ||||
\(397\) | −0.0320978 | −0.00161094 | −0.000805471 | − | 1.00000i | \(-0.500256\pi\) | ||||
−0.000805471 | 1.00000i | \(0.500256\pi\) | ||||||||
\(398\) | 3.84208 | + | 6.65467i | 0.192586 | + | 0.333569i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.1616 | + | 19.3324i | −0.558078 | + | 0.966619i | ||||
\(401\) | −12.2628 | + | 21.2398i | −0.612374 | + | 1.06066i | 0.378465 | + | 0.925616i | \(0.376452\pi\) |
−0.990839 | + | 0.135048i | \(0.956881\pi\) | |||||||
\(402\) | −0.702894 | − | 0.536248i | −0.0350571 | − | 0.0267456i | ||||
\(403\) | 2.14519 | + | 3.71558i | 0.106860 | + | 0.185086i | ||||
\(404\) | −4.56007 | −0.226872 | ||||||||
\(405\) | −0.369938 | − | 33.2312i | −0.0183824 | − | 1.65127i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.11153 | + | 3.65728i | 0.104665 | + | 0.181284i | ||||
\(408\) | −0.640820 | − | 0.488891i | −0.0317253 | − | 0.0242037i | ||||
\(409\) | 13.3948 | − | 23.2006i | 0.662333 | − | 1.14719i | −0.317669 | − | 0.948202i | \(-0.602900\pi\) |
0.980001 | − | 0.198992i | \(-0.0637667\pi\) | |||||||
\(410\) | −4.37787 | + | 7.58269i | −0.216208 | + | 0.374483i | ||||
\(411\) | −0.108103 | + | 0.839160i | −0.00533230 | + | 0.0413927i | ||||
\(412\) | −8.51759 | − | 14.7529i | −0.419631 | − | 0.726823i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.973773 | − | 3.55490i | −0.0478583 | − | 0.174714i | ||||
\(415\) | 45.5041 | 2.23371 | ||||||||
\(416\) | 2.99476 | + | 5.18708i | 0.146830 | + | 0.254317i | ||||
\(417\) | 15.7754 | − | 6.58586i | 0.772522 | − | 0.322511i | ||||
\(418\) | −0.621466 | + | 1.07641i | −0.0303969 | + | 0.0526490i | ||||
\(419\) | 10.5262 | − | 18.2320i | 0.514240 | − | 0.890689i | −0.485624 | − | 0.874168i | \(-0.661407\pi\) |
0.999864 | − | 0.0165215i | \(-0.00525920\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.44533 | − | 12.8957i | −0.362863 | − | 0.628498i | 0.625568 | − | 0.780170i | \(-0.284867\pi\) |
−0.988431 | + | 0.151672i | \(0.951534\pi\) | |||||||
\(422\) | 0.765520 | 0.0372649 | ||||||||
\(423\) | 21.4599 | − | 21.7001i | 1.04342 | − | 1.05510i | ||||
\(424\) | 18.4094 | 0.894038 | ||||||||
\(425\) | 1.07932 | + | 1.86944i | 0.0523547 | + | 0.0906809i | ||||
\(426\) | 0.542675 | − | 4.21258i | 0.0262927 | − | 0.204100i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 9.56037 | − | 16.5590i | 0.462118 | − | 0.800412i | ||||
\(429\) | −1.47090 | − | 1.12217i | −0.0710157 | − | 0.0541789i | ||||
\(430\) | 9.13554 | + | 15.8232i | 0.440555 | + | 0.763064i | ||||
\(431\) | 15.9038 | 0.766061 | 0.383031 | − | 0.923736i | \(-0.374880\pi\) | ||||
0.383031 | + | 0.923736i | \(0.374880\pi\) | |||||||
\(432\) | 13.3028 | − | 1.86446i | 0.640031 | − | 0.0897040i | ||||
\(433\) | 16.3658 | 0.786490 | 0.393245 | − | 0.919434i | \(-0.371352\pi\) | ||||
0.393245 | + | 0.919434i | \(0.371352\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −21.0644 | − | 16.0704i | −1.00996 | − | 0.770515i | ||||
\(436\) | 1.86105 | − | 3.22344i | 0.0891282 | − | 0.154375i | ||||
\(437\) | −3.47905 | + | 6.02590i | −0.166426 | + | 0.288258i | ||||
\(438\) | 0.200872 | − | 1.55930i | 0.00959804 | − | 0.0745060i | ||||
\(439\) | −7.77236 | − | 13.4621i | −0.370954 | − | 0.642512i | 0.618758 | − | 0.785582i | \(-0.287636\pi\) |
−0.989713 | + | 0.143070i | \(0.954303\pi\) | |||||||
\(440\) | −6.13543 | −0.292495 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.148343 | 0.00705594 | ||||||||
\(443\) | −0.895027 | − | 1.55023i | −0.0425240 | − | 0.0736537i | 0.843980 | − | 0.536375i | \(-0.180207\pi\) |
−0.886504 | + | 0.462721i | \(0.846873\pi\) | |||||||
\(444\) | 13.2653 | − | 5.53797i | 0.629543 | − | 0.262820i | ||||
\(445\) | 4.44477 | − | 7.69857i | 0.210702 | − | 0.364947i | ||||
\(446\) | −1.34961 | + | 2.33759i | −0.0639058 | + | 0.110688i | ||||
\(447\) | −33.6038 | + | 14.0288i | −1.58940 | + | 0.663540i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.5666 | 0.640250 | 0.320125 | − | 0.947375i | \(-0.396275\pi\) | ||||
0.320125 | + | 0.947375i | \(0.396275\pi\) | |||||||
\(450\) | 12.4263 | + | 3.25559i | 0.585781 | + | 0.153470i | ||||
\(451\) | 4.26814 | 0.200979 | ||||||||
\(452\) | −13.8806 | − | 24.0419i | −0.652890 | − | 1.13084i | ||||
\(453\) | 0.331589 | − | 2.57400i | 0.0155794 | − | 0.120937i | ||||
\(454\) | 3.98588 | − | 6.90375i | 0.187067 | − | 0.324009i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.19889 | + | 5.49214i | 0.337119 | + | 0.257193i | ||||
\(457\) | −1.28459 | − | 2.22497i | −0.0600905 | − | 0.104080i | 0.834415 | − | 0.551136i | \(-0.185806\pi\) |
−0.894506 | + | 0.447057i | \(0.852472\pi\) | |||||||
\(458\) | −4.94301 | −0.230972 | ||||||||
\(459\) | 0.487050 | − | 1.20418i | 0.0227335 | − | 0.0562064i | ||||
\(460\) | −16.0487 | −0.748274 | ||||||||
\(461\) | −18.0934 | − | 31.3388i | −0.842695 | − | 1.45959i | −0.887608 | − | 0.460600i | \(-0.847634\pi\) |
0.0449122 | − | 0.998991i | \(-0.485699\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.19224 | − | 14.1894i | 0.380726 | − | 0.659436i | −0.610440 | − | 0.792062i | \(-0.709008\pi\) |
0.991166 | + | 0.132626i | \(0.0423409\pi\) | |||||||
\(464\) | 5.35455 | − | 9.27436i | 0.248579 | − | 0.430551i | ||||
\(465\) | −2.92964 | + | 22.7417i | −0.135859 | + | 1.05462i | ||||
\(466\) | −4.10105 | − | 7.10323i | −0.189978 | − | 0.329051i | ||||
\(467\) | −8.70044 | −0.402608 | −0.201304 | − | 0.979529i | \(-0.564518\pi\) | ||||
−0.201304 | + | 0.979529i | \(0.564518\pi\) | |||||||
\(468\) | −4.42815 | + | 4.47772i | −0.204692 | + | 0.206983i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.31361 | + | 16.1316i | 0.429605 | + | 0.744097i | ||||
\(471\) | −26.6600 | + | 11.1300i | −1.22843 | + | 0.512841i | ||||
\(472\) | 1.68691 | − | 2.92181i | 0.0776462 | − | 0.134487i | ||||
\(473\) | 4.45328 | − | 7.71330i | 0.204762 | − | 0.354658i | ||||
\(474\) | −1.42594 | + | 0.595297i | −0.0654955 | + | 0.0273429i | ||||
\(475\) | −12.1249 | − | 21.0010i | −0.556330 | − | 0.963591i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.83799 | + | 28.6138i | 0.358877 | + | 1.31014i | ||||
\(478\) | −10.9209 | −0.499513 | ||||||||
\(479\) | −8.88370 | − | 15.3870i | −0.405907 | − | 0.703051i | 0.588520 | − | 0.808483i | \(-0.299711\pi\) |
−0.994427 | + | 0.105432i | \(0.966378\pi\) | |||||||
\(480\) | −4.08988 | + | 31.7482i | −0.186677 | + | 1.44910i | ||||
\(481\) | −2.83103 | + | 4.90349i | −0.129084 | + | 0.223580i | ||||
\(482\) | −4.14548 | + | 7.18018i | −0.188821 | + | 0.327048i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.94890 | − | 15.4999i | −0.406768 | − | 0.704543i | ||||
\(485\) | 40.7816 | 1.85180 | ||||||||
\(486\) | −3.05716 | − | 7.09957i | −0.138675 | − | 0.322043i | ||||
\(487\) | −16.6553 | −0.754722 | −0.377361 | − | 0.926066i | \(-0.623168\pi\) | ||||
−0.377361 | + | 0.926066i | \(0.623168\pi\) | |||||||
\(488\) | 10.0562 | + | 17.4178i | 0.455222 | + | 0.788467i | ||||
\(489\) | 9.20245 | + | 7.02068i | 0.416149 | + | 0.317486i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.21021 | + | 5.56025i | −0.144875 | + | 0.250930i | −0.929326 | − | 0.369260i | \(-0.879611\pi\) |
0.784451 | + | 0.620190i | \(0.212945\pi\) | |||||||
\(492\) | 1.85623 | − | 14.4092i | 0.0836854 | − | 0.649619i | ||||
\(493\) | −0.517784 | − | 0.896827i | −0.0233198 | − | 0.0403911i | ||||
\(494\) | −1.66646 | −0.0749776 | ||||||||
\(495\) | −2.61223 | − | 9.53633i | −0.117411 | − | 0.428626i | ||||
\(496\) | −9.26814 | −0.416152 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.76698 | − | 4.07750i | 0.437669 | − | 0.182717i | ||||
\(499\) | −5.57296 | + | 9.65264i | −0.249480 | + | 0.432112i | −0.963382 | − | 0.268134i | \(-0.913593\pi\) |
0.713902 | + | 0.700246i | \(0.246926\pi\) | |||||||
\(500\) | 11.7728 | − | 20.3911i | 0.526495 | − | 0.911916i | ||||
\(501\) | −28.1806 | + | 11.7648i | −1.25901 | + | 0.525611i | ||||
\(502\) | 2.11512 | + | 3.66350i | 0.0944026 | + | 0.163510i | ||||
\(503\) | 17.7223 | 0.790200 | 0.395100 | − | 0.918638i | \(-0.370710\pi\) | ||||
0.395100 | + | 0.918638i | \(0.370710\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.59939 | 0.427167 | ||||||||
\(506\) | −0.548314 | − | 0.949708i | −0.0243755 | − | 0.0422197i | ||||
\(507\) | −2.55995 | + | 19.8719i | −0.113691 | + | 0.882544i | ||||
\(508\) | −1.11339 | + | 1.92845i | −0.0493988 | + | 0.0855612i | ||||
\(509\) | 15.5411 | − | 26.9180i | 0.688848 | − | 1.19312i | −0.283362 | − | 0.959013i | \(-0.591450\pi\) |
0.972211 | − | 0.234107i | \(-0.0752167\pi\) | |||||||
\(510\) | 0.630316 | + | 0.480878i | 0.0279109 | + | 0.0212936i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −22.5634 | −0.997169 | ||||||||
\(513\) | −5.47145 | + | 13.5276i | −0.241571 | + | 0.597258i | ||||
\(514\) | −8.48913 | −0.374439 | ||||||||
\(515\) | 17.9303 | + | 31.0563i | 0.790105 | + | 1.36850i | ||||
\(516\) | −24.1034 | − | 18.3888i | −1.06109 | − | 0.809524i | ||||
\(517\) | 4.54008 | − | 7.86365i | 0.199672 | − | 0.345843i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.860152 | − | 6.67704i | 0.0377565 | − | 0.293089i | ||||
\(520\) | −4.11304 | − | 7.12399i | −0.180369 | − | 0.312408i | ||||
\(521\) | −4.75971 | −0.208527 | −0.104263 | − | 0.994550i | \(-0.533249\pi\) | ||||
−0.104263 | + | 0.994550i | \(0.533249\pi\) | |||||||
\(522\) | −5.96128 | − | 1.56181i | −0.260918 | − | 0.0683586i | ||||
\(523\) | 40.2515 | 1.76008 | 0.880038 | − | 0.474904i | \(-0.157517\pi\) | ||||
0.880038 | + | 0.474904i | \(0.157517\pi\) | |||||||
\(524\) | 13.1812 | + | 22.8305i | 0.575823 | + | 0.997355i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.09571 | − | 8.82602i | 0.222183 | − | 0.384833i | ||||
\(527\) | −0.448113 | + | 0.776154i | −0.0195201 | + | 0.0338098i | ||||
\(528\) | 3.68808 | − | 1.53969i | 0.160503 | − | 0.0670064i | ||||
\(529\) | 8.43046 | + | 14.6020i | 0.366542 | + | 0.634869i | ||||
\(530\) | −18.1076 | −0.786545 | ||||||||
\(531\) | 5.25960 | + | 1.37798i | 0.228247 | + | 0.0597991i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.86125 | + | 4.95583i | 0.123935 | + | 0.214661i | ||||
\(534\) | 0.264176 | − | 2.05070i | 0.0114320 | − | 0.0887426i | ||||
\(535\) | −20.1255 | + | 34.8584i | −0.870101 | + | 1.50706i | ||||
\(536\) | −0.958109 | + | 1.65949i | −0.0413840 | + | 0.0716792i | ||||
\(537\) | −10.1009 | − | 7.70616i | −0.435888 | − | 0.332545i | ||||
\(538\) | 4.92033 | + | 8.52227i | 0.212131 | + | 0.367421i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −33.3308 | + | 4.67150i | −1.43433 | + | 0.201029i | ||||
\(541\) | −24.1094 | −1.03655 | −0.518273 | − | 0.855215i | \(-0.673425\pi\) | ||||
−0.518273 | + | 0.855215i | \(0.673425\pi\) | |||||||
\(542\) | 2.63830 | + | 4.56966i | 0.113325 | + | 0.196284i | ||||
\(543\) | −15.5009 | − | 11.8259i | −0.665208 | − | 0.507497i | ||||
\(544\) | −0.625580 | + | 1.08354i | −0.0268215 | + | 0.0464563i | ||||
\(545\) | −3.91769 | + | 6.78564i | −0.167815 | + | 0.290665i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.17751 | − | 10.6998i | −0.264131 | − | 0.457489i | 0.703204 | − | 0.710988i | \(-0.251752\pi\) |
−0.967336 | + | 0.253499i | \(0.918419\pi\) | |||||||
\(548\) | 0.856872 | 0.0366038 | ||||||||
\(549\) | −22.7911 | + | 23.0462i | −0.972699 | + | 0.983587i | ||||
\(550\) | 3.82188 | 0.162966 | ||||||||
\(551\) | 5.81671 | + | 10.0748i | 0.247800 | + | 0.429203i | ||||
\(552\) | −7.37223 | + | 3.07774i | −0.313783 | + | 0.130997i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.16893 | + | 10.6849i | −0.262093 | + | 0.453958i | ||||
\(555\) | −27.9247 | + | 11.6579i | −1.18534 | + | 0.494852i | ||||
\(556\) | −8.65633 | − | 14.9932i | −0.367110 | − | 0.635853i | ||||
\(557\) | −8.07689 | −0.342229 | −0.171114 | − | 0.985251i | \(-0.554737\pi\) | ||||
−0.171114 | + | 0.985251i | \(0.554737\pi\) | |||||||
\(558\) | 1.40901 | + | 5.14379i | 0.0596480 | + | 0.217754i | ||||
\(559\) | 11.9415 | 0.505070 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.0493776 | − | 0.383300i | 0.00208472 | − | 0.0161829i | ||||
\(562\) | 3.39041 | − | 5.87237i | 0.143016 | − | 0.247711i | ||||
\(563\) | 22.6064 | − | 39.1554i | 0.952744 | − | 1.65020i | 0.213296 | − | 0.976988i | \(-0.431580\pi\) |
0.739448 | − | 0.673214i | \(-0.235087\pi\) | |||||||
\(564\) | −24.5732 | − | 18.7473i | −1.03472 | − | 0.789402i | ||||
\(565\) | 29.2200 | + | 50.6106i | 1.22930 | + | 2.12920i | ||||
\(566\) | 3.13477 | 0.131764 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.20596 | −0.386274 | ||||||||
\(569\) | −11.2149 | − | 19.4248i | −0.470155 | − | 0.814332i | 0.529263 | − | 0.848458i | \(-0.322468\pi\) |
−0.999418 | + | 0.0341263i | \(0.989135\pi\) | |||||||
\(570\) | −7.08089 | − | 5.40211i | −0.296586 | − | 0.226270i | ||||
\(571\) | 10.9134 | − | 18.9026i | 0.456713 | − | 0.791050i | −0.542072 | − | 0.840332i | \(-0.682360\pi\) |
0.998785 | + | 0.0492820i | \(0.0156933\pi\) | |||||||
\(572\) | −0.936826 | + | 1.62263i | −0.0391706 | + | 0.0678455i | ||||
\(573\) | −5.27706 | + | 40.9638i | −0.220452 | + | 1.71129i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 21.3954 | 0.892251 | ||||||||
\(576\) | −2.13082 | − | 7.77888i | −0.0887842 | − | 0.324120i | ||||
\(577\) | −32.2044 | −1.34068 | −0.670342 | − | 0.742052i | \(-0.733853\pi\) | ||||
−0.670342 | + | 0.742052i | \(0.733853\pi\) | |||||||
\(578\) | −4.19939 | − | 7.27355i | −0.174671 | − | 0.302540i | ||||
\(579\) | −9.48553 | + | 3.96000i | −0.394205 | + | 0.164572i | ||||
\(580\) | −13.4161 | + | 23.2373i | −0.557072 | + | 0.964878i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 8.75335 | − | 3.65433i | 0.362838 | − | 0.151477i | ||||
\(583\) | 4.41343 | + | 7.64429i | 0.182786 | + | 0.316594i | ||||
\(584\) | −3.40761 | −0.141008 | ||||||||
\(585\) | 9.32169 | − | 9.42604i | 0.385404 | − | 0.389719i | ||||
\(586\) | 1.30421 | 0.0538765 | ||||||||
\(587\) | 9.72304 | + | 16.8408i | 0.401313 | + | 0.695094i | 0.993885 | − | 0.110424i | \(-0.0352208\pi\) |
−0.592572 | + | 0.805518i | \(0.701887\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.03404 | − | 8.71921i | 0.207424 | − | 0.359269i | ||||
\(590\) | −1.65926 | + | 2.87392i | −0.0683105 | + | 0.118317i | ||||
\(591\) | −21.3006 | − | 16.2505i | −0.876190 | − | 0.668458i | ||||
\(592\) | −6.11563 | − | 10.5926i | −0.251351 | − | 0.435352i | ||||
\(593\) | −28.8405 | −1.18434 | −0.592168 | − | 0.805815i | \(-0.701728\pi\) | ||||
−0.592168 | + | 0.805815i | \(0.701728\pi\) | |||||||
\(594\) | −1.41521 | − | 1.81280i | −0.0580669 | − | 0.0743801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 18.4392 | + | 31.9377i | 0.755300 | + | 1.30822i | ||||
\(597\) | 21.3394 | + | 16.2801i | 0.873363 | + | 0.666301i | ||||
\(598\) | 0.735152 | − | 1.27332i | 0.0300626 | − | 0.0520699i | ||||
\(599\) | 23.4994 | − | 40.7022i | 0.960161 | − | 1.66305i | 0.238072 | − | 0.971247i | \(-0.423484\pi\) |
0.722089 | − | 0.691800i | \(-0.243182\pi\) | |||||||
\(600\) | 3.55730 | − | 27.6140i | 0.145226 | − | 1.12734i | ||||
\(601\) | 7.80843 | + | 13.5246i | 0.318512 | + | 0.551680i | 0.980178 | − | 0.198119i | \(-0.0634834\pi\) |
−0.661665 | + | 0.749799i | \(0.730150\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.98729 | − | 0.782646i | −0.121652 | − | 0.0318718i | ||||
\(604\) | −2.62833 | −0.106945 | ||||||||
\(605\) | 18.8383 | + | 32.6289i | 0.765885 | + | 1.32655i | ||||
\(606\) | 2.06041 | − | 0.860175i | 0.0836984 | − | 0.0349422i | ||||
\(607\) | −14.3266 | + | 24.8144i | −0.581500 | + | 1.00719i | 0.413802 | + | 0.910367i | \(0.364200\pi\) |
−0.995302 | + | 0.0968200i | \(0.969133\pi\) | |||||||
\(608\) | 7.02769 | − | 12.1723i | 0.285010 | − | 0.493652i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.89134 | − | 17.1323i | −0.400489 | − | 0.693667i | ||||
\(611\) | 12.1742 | 0.492516 | ||||||||
\(612\) | −1.27255 | − | 0.333398i | −0.0514397 | − | 0.0134768i | ||||
\(613\) | −29.3468 | −1.18531 | −0.592653 | − | 0.805458i | \(-0.701920\pi\) | ||||
−0.592653 | + | 0.805458i | \(0.701920\pi\) | |||||||
\(614\) | 0.692965 | + | 1.20025i | 0.0279658 | + | 0.0484382i | ||||
\(615\) | −3.90755 | + | 30.3328i | −0.157568 | + | 1.22314i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.06401 | − | 3.57497i | 0.0830938 | − | 0.143923i | −0.821484 | − | 0.570232i | \(-0.806853\pi\) |
0.904577 | + | 0.426310i | \(0.140187\pi\) | |||||||
\(618\) | 6.63143 | + | 5.05921i | 0.266755 | + | 0.203511i | ||||
\(619\) | 11.3565 | + | 19.6700i | 0.456456 | + | 0.790605i | 0.998771 | − | 0.0495708i | \(-0.0157853\pi\) |
−0.542315 | + | 0.840175i | \(0.682452\pi\) | |||||||
\(620\) | 23.2217 | 0.932608 | ||||||||
\(621\) | −7.92256 | − | 10.1483i | −0.317921 | − | 0.407238i | ||||
\(622\) | −7.48774 | −0.300231 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.26017 | + | 3.25014i | 0.170543 | + | 0.130110i | ||||
\(625\) | −3.19498 | + | 5.53387i | −0.127799 | + | 0.221355i | ||||
\(626\) | 6.31698 | − | 10.9413i | 0.252477 | − | 0.437304i | ||||
\(627\) | −0.554701 | + | 4.30594i | −0.0221526 | + | 0.171963i | ||||
\(628\) | 14.6290 | + | 25.3382i | 0.583761 | + | 1.01110i | ||||
\(629\) | −1.18276 | −0.0471597 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.6411 | −1.53828 | −0.769138 | − | 0.639082i | \(-0.779314\pi\) | ||||
−0.769138 | + | 0.639082i | \(0.779314\pi\) | |||||||
\(632\) | 1.67458 | + | 2.90045i | 0.0666110 | + | 0.115374i | ||||
\(633\) | 2.46754 | − | 1.03014i | 0.0980757 | − | 0.0409444i | ||||
\(634\) | 8.06304 | − | 13.9656i | 0.320224 | − | 0.554645i | ||||
\(635\) | 2.34380 | − | 4.05958i | 0.0930107 | − | 0.161099i | ||||
\(636\) | 27.7266 | − | 11.5752i | 1.09943 | − | 0.458988i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.83348 | −0.0725881 | ||||||||
\(639\) | −3.91954 | − | 14.3089i | −0.155055 | − | 0.566050i | ||||
\(640\) | 41.8853 | 1.65566 | ||||||||
\(641\) | 14.2363 | + | 24.6580i | 0.562301 | + | 0.973933i | 0.997295 | + | 0.0735002i | \(0.0234169\pi\) |
−0.434995 | + | 0.900433i | \(0.643250\pi\) | |||||||
\(642\) | −1.19616 | + | 9.28538i | −0.0472088 | + | 0.366465i | ||||
\(643\) | 8.52125 | − | 14.7592i | 0.336045 | − | 0.582048i | −0.647640 | − | 0.761947i | \(-0.724244\pi\) |
0.983685 | + | 0.179899i | \(0.0575771\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 50.7400 | + | 38.7103i | 1.99788 | + | 1.52422i | ||||
\(646\) | −0.174055 | − | 0.301472i | −0.00684810 | − | 0.0118613i | ||||
\(647\) | 3.37618 | 0.132731 | 0.0663657 | − | 0.997795i | \(-0.478860\pi\) | ||||
0.0663657 | + | 0.997795i | \(0.478860\pi\) | |||||||
\(648\) | −14.4152 | + | 8.53795i | −0.566281 | + | 0.335402i | ||||
\(649\) | 1.61767 | 0.0634989 | ||||||||
\(650\) | 2.56209 | + | 4.43768i | 0.100494 | + | 0.174060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.86110 | − | 10.1517i | 0.229538 | − | 0.397572i | ||||
\(653\) | 9.17255 | − | 15.8873i | 0.358950 | − | 0.621719i | −0.628836 | − | 0.777538i | \(-0.716468\pi\) |
0.987786 | + | 0.155819i | \(0.0498017\pi\) | |||||||
\(654\) | −0.232849 | + | 1.80752i | −0.00910512 | + | 0.0706797i | ||||
\(655\) | −27.7477 | − | 48.0604i | −1.08419 | − | 1.87787i | ||||
\(656\) | −12.3618 | −0.482648 | ||||||||
\(657\) | −1.45083 | − | 5.29646i | −0.0566021 | − | 0.206635i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.9248 | − | 24.1184i | −0.542432 | − | 0.939519i | −0.998764 | − | 0.0497098i | \(-0.984170\pi\) |
0.456332 | − | 0.889810i | \(-0.349163\pi\) | |||||||
\(660\) | −9.24065 | + | 3.85777i | −0.359692 | + | 0.150163i | ||||
\(661\) | 19.5071 | − | 33.7872i | 0.758737 | − | 1.31417i | −0.184758 | − | 0.982784i | \(-0.559150\pi\) |
0.943495 | − | 0.331387i | \(-0.107516\pi\) | |||||||
\(662\) | 4.48633 | − | 7.77054i | 0.174366 | − | 0.302011i | ||||
\(663\) | 0.478160 | − | 0.199621i | 0.0185702 | − | 0.00775264i | ||||
\(664\) | −11.4700 | − | 19.8667i | −0.445123 | − | 0.770976i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.94911 | + | 5.00452i | −0.191774 | + | 0.193921i | ||||
\(667\) | −10.2641 | −0.397426 | ||||||||
\(668\) | 15.4634 | + | 26.7834i | 0.598296 | + | 1.03628i | ||||
\(669\) | −1.20462 | + | 9.35100i | −0.0465732 | + | 0.361531i | ||||
\(670\) | 0.942405 | − | 1.63229i | 0.0364083 | − | 0.0630610i | ||||
\(671\) | −4.82170 | + | 8.35143i | −0.186140 | + | 0.322404i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.6154 | + | 42.6352i | 0.948856 | + | 1.64347i | 0.747841 | + | 0.663878i | \(0.231090\pi\) |
0.201014 | + | 0.979588i | \(0.435576\pi\) | |||||||
\(674\) | −12.4053 | −0.477833 | ||||||||
\(675\) | 44.4352 | − | 6.22784i | 1.71031 | − | 0.239710i | ||||
\(676\) | 20.2914 | 0.780438 | ||||||||
\(677\) | −11.6958 | − | 20.2577i | −0.449505 | − | 0.778565i | 0.548849 | − | 0.835922i | \(-0.315066\pi\) |
−0.998354 | + | 0.0573564i | \(0.981733\pi\) | |||||||
\(678\) | 10.8069 | + | 8.24471i | 0.415035 | + | 0.316636i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.859180 | − | 1.48814i | 0.0329480 | − | 0.0570677i | ||||
\(681\) | 3.55767 | − | 27.6169i | 0.136330 | − | 1.05828i | ||||
\(682\) | 0.793387 | + | 1.37419i | 0.0303803 | + | 0.0526203i | ||||
\(683\) | 30.3264 | 1.16041 | 0.580204 | − | 0.814471i | \(-0.302973\pi\) | ||||
0.580204 | + | 0.814471i | \(0.302973\pi\) | |||||||
\(684\) | 14.2956 | + | 3.74535i | 0.546607 | + | 0.143207i | ||||
\(685\) | −1.80380 | −0.0689196 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.9330 | + | 6.65169i | −0.607884 | + | 0.253778i | ||||
\(688\) | −12.8980 | + | 22.3401i | −0.491733 | + | 0.851707i | ||||
\(689\) | −5.91731 | + | 10.2491i | −0.225432 | + | 0.390459i | ||||
\(690\) | 7.25139 | − | 3.02729i | 0.276056 | − | 0.115247i | ||||
\(691\) | −2.05665 | − | 3.56223i | −0.0782387 | − | 0.135513i | 0.824251 | − | 0.566224i | \(-0.191596\pi\) |
−0.902490 | + | 0.430711i | \(0.858263\pi\) | |||||||
\(692\) | −6.81797 | −0.259180 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.33003 | −0.202325 | ||||||||
\(695\) | 18.2224 | + | 31.5621i | 0.691215 | + | 1.19722i | ||||
\(696\) | −1.70655 | + | 13.2473i | −0.0646867 | + | 0.502139i | ||||
\(697\) | −0.597691 | + | 1.03523i | −0.0226392 | + | 0.0392122i | ||||
\(698\) | −0.814716 | + | 1.41113i | −0.0308375 | + | 0.0534120i | ||||
\(699\) | −22.7778 | − | 17.3775i | −0.861534 | − | 0.657277i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.1835 | 1.10225 | 0.551123 | − | 0.834424i | \(-0.314200\pi\) | ||||
0.551123 | + | 0.834424i | \(0.314200\pi\) | |||||||
\(702\) | 1.15616 | − | 2.85849i | 0.0436365 | − | 0.107887i | ||||
\(703\) | 13.2869 | 0.501127 | ||||||||
\(704\) | −1.19983 | − | 2.07816i | −0.0452202 | − | 0.0783236i | ||||
\(705\) | 51.7289 | + | 39.4648i | 1.94822 | + | 1.48633i | ||||
\(706\) | −4.17005 | + | 7.22274i | −0.156942 | + | 0.271831i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.703531 | − | 5.46125i | 0.0264403 | − | 0.205246i | ||||
\(709\) | 21.2309 | + | 36.7729i | 0.797342 | + | 1.38104i | 0.921341 | + | 0.388755i | \(0.127095\pi\) |
−0.123999 | + | 0.992282i | \(0.539572\pi\) | |||||||
\(710\) | 9.05507 | 0.339831 | ||||||||
\(711\) | −3.79522 | + | 3.83770i | −0.142332 | + | 0.143925i | ||||
\(712\) | −4.48150 | −0.167951 | ||||||||
\(713\) | 4.44149 | + | 7.69288i | 0.166335 | + | 0.288101i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.97211 | − | 3.41579i | 0.0737526 | − | 0.127743i | ||||
\(716\) | −6.43336 | + | 11.1429i | −0.240426 | + | 0.416430i | ||||
\(717\) | −35.2020 | + | 14.6961i | −1.31464 | + | 0.548834i | ||||
\(718\) | −5.89692 | − | 10.2138i | −0.220071 | − | 0.381175i | ||||
\(719\) | −11.1425 | −0.415546 | −0.207773 | − | 0.978177i | \(-0.566621\pi\) | ||||
−0.207773 | + | 0.978177i | \(0.566621\pi\) | |||||||
\(720\) | 7.56580 | + | 27.6201i | 0.281961 | + | 1.02934i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.75544 | − | 4.77256i | −0.102547 | − | 0.177616i | ||||
\(723\) | −3.70012 | + | 28.7227i | −0.137609 | + | 1.06821i | ||||
\(724\) | −9.87264 | + | 17.0999i | −0.366914 | + | 0.635513i | ||||
\(725\) | 17.8858 | − | 30.9790i | 0.664260 | − | 1.15053i | ||||
\(726\) | 6.96723 | + | 5.31540i | 0.258578 | + | 0.197273i | ||||
\(727\) | 14.3410 | + | 24.8393i | 0.531878 | + | 0.921239i | 0.999308 | + | 0.0372089i | \(0.0118467\pi\) |
−0.467430 | + | 0.884030i | \(0.654820\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.4080 | − | 18.7704i | −0.718815 | − | 0.695202i | ||||
\(730\) | 3.35175 | 0.124054 | ||||||||
\(731\) | 1.24724 | + | 2.16028i | 0.0461307 | + | 0.0799007i | ||||
\(732\) | 26.0975 | + | 19.9102i | 0.964591 | + | 0.735901i | ||||
\(733\) | −12.5264 | + | 21.6964i | −0.462674 | + | 0.801375i | −0.999093 | − | 0.0425768i | \(-0.986443\pi\) |
0.536419 | + | 0.843952i | \(0.319777\pi\) | |||||||
\(734\) | 0.171071 | − | 0.296303i | 0.00631433 | − | 0.0109367i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.20047 | + | 10.7395i | 0.228552 | + | 0.395864i | ||||
\(737\) | −0.918782 | −0.0338438 | ||||||||
\(738\) | 1.87933 | + | 6.86077i | 0.0691790 | + | 0.252549i | ||||
\(739\) | −27.5216 | −1.01240 | −0.506198 | − | 0.862417i | \(-0.668950\pi\) | ||||
−0.506198 | + | 0.862417i | \(0.668950\pi\) | |||||||
\(740\) | 15.3230 | + | 26.5402i | 0.563284 | + | 0.975637i | ||||
\(741\) | −5.37158 | + | 2.24252i | −0.197330 | + | 0.0823809i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.00608 | + | 12.1349i | −0.257028 | + | 0.445186i | −0.965444 | − | 0.260609i | \(-0.916077\pi\) |
0.708416 | + | 0.705795i | \(0.249410\pi\) | |||||||
\(744\) | 10.6673 | − | 4.45336i | 0.391082 | − | 0.163268i | ||||
\(745\) | −38.8163 | − | 67.2318i | −1.42212 | − | 2.46318i | ||||
\(746\) | 1.86452 | 0.0682650 | ||||||||
\(747\) | 25.9954 | − | 26.2864i | 0.951121 | − | 0.961768i | ||||
\(748\) | −0.391390 | −0.0143106 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.47297 | + | 11.4342i | −0.0537854 | + | 0.417516i | ||||
\(751\) | 26.1297 | − | 45.2580i | 0.953486 | − | 1.65149i | 0.215692 | − | 0.976461i | \(-0.430799\pi\) |
0.737795 | − | 0.675025i | \(-0.235867\pi\) | |||||||
\(752\) | −13.1494 | + | 22.7755i | −0.479511 | + | 0.830537i | ||||
\(753\) | 11.7477 | + | 8.96246i | 0.428109 | + | 0.326610i | ||||
\(754\) | −1.22912 | − | 2.12889i | −0.0447618 | − | 0.0775298i | ||||
\(755\) | 5.53289 | 0.201363 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.3447 | −1.57539 | −0.787694 | − | 0.616066i | \(-0.788725\pi\) | ||||
−0.787694 | + | 0.616066i | \(0.788725\pi\) | |||||||
\(758\) | 8.15047 | + | 14.1170i | 0.296038 | + | 0.512753i | ||||
\(759\) | −3.04540 | − | 2.32338i | −0.110541 | − | 0.0843335i | ||||
\(760\) | −9.65191 | + | 16.7176i | −0.350112 | + | 0.606411i | ||||
\(761\) | −8.62550 | + | 14.9398i | −0.312674 | + | 0.541568i | −0.978940 | − | 0.204146i | \(-0.934558\pi\) |
0.666266 | + | 0.745714i | \(0.267891\pi\) | |||||||
\(762\) | 0.139304 | − | 1.08137i | 0.00504646 | − | 0.0391738i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 41.8285 | 1.51330 | ||||||||
\(765\) | 2.67883 | + | 0.701834i | 0.0968534 | + | 0.0253749i | ||||
\(766\) | −0.531903 | −0.0192184 | ||||||||
\(767\) | 1.08444 | + | 1.87831i | 0.0391570 | + | 0.0678218i | ||||
\(768\) | 0.395948 | − | 0.165299i | 0.0142875 | − | 0.00596472i | ||||
\(769\) | 10.6727 | − | 18.4856i | 0.384867 | − | 0.666609i | −0.606884 | − | 0.794790i | \(-0.707581\pi\) |
0.991751 | + | 0.128182i | \(0.0409141\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.3634 | + | 11.4236i | −0.985469 | + | 0.411411i | ||||
\(772\) | 5.20495 | + | 9.01523i | 0.187330 | + | 0.324465i | ||||
\(773\) | −13.1471 | −0.472870 | −0.236435 | − | 0.971647i | \(-0.575979\pi\) | ||||
−0.236435 | + | 0.971647i | \(0.575979\pi\) | |||||||
\(774\) | 14.3595 | + | 3.76209i | 0.516143 | + | 0.135225i | ||||
\(775\) | −30.9583 | −1.11205 | ||||||||
\(776\) | −10.2796 | − | 17.8049i | −0.369018 | − | 0.639158i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.88685 | + | 10.1963i | −0.211054 | + | 0.365556i | ||||
\(779\) | 6.71439 | − | 11.6297i | 0.240568 | − | 0.416676i | ||||
\(780\) | −10.6740 | − | 8.14339i | −0.382192 | − | 0.291580i | ||||
\(781\) | −2.20702 | − | 3.82268i | −0.0789735 | − | 0.136786i | ||||
\(782\) | 0.307134 | 0.0109831 | ||||||||
\(783\) | −21.3170 | + | 2.98769i | −0.761807 | + | 0.106771i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −30.7954 | − | 53.3393i | −1.09914 | − | 1.90376i | ||||
\(786\) | −10.2623 | − | 7.82927i | −0.366045 | − | 0.279261i | ||||
\(787\) | −14.0650 | + | 24.3614i | −0.501364 | + | 0.868389i | 0.498634 | + | 0.866812i | \(0.333835\pi\) |
−0.999999 | + | 0.00157623i | \(0.999498\pi\) | |||||||
\(788\) | −13.5665 | + | 23.4979i | −0.483287 | + | 0.837077i | ||||
\(789\) | 4.54827 | − | 35.3065i | 0.161923 | − | 1.25694i | ||||
\(790\) | −1.64713 | − | 2.85291i | −0.0586021 | − | 0.101502i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.50502 | + | 3.54426i | −0.124546 | + | 0.125940i | ||||
\(793\) | −12.9294 | −0.459136 | ||||||||
\(794\) | −0.00795814 | − | 0.0137839i | −0.000282424 | − | 0.000489172i | ||||
\(795\) | −58.3671 | + | 24.3670i | −2.07007 | + | 0.864208i | ||||
\(796\) | 13.5912 | − | 23.5406i | 0.481727 | − | 0.834376i | ||||
\(797\) | −12.8683 | + | 22.2885i | −0.455817 | + | 0.789499i | −0.998735 | − | 0.0502873i | \(-0.983986\pi\) |
0.542917 | + | 0.839786i | \(0.317320\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.27155 | + | 2.20238i | 0.0449841 | + | 0.0779147i | ||||
\(800\) | −43.2188 | −1.52801 | ||||||||
\(801\) | −1.90805 | − | 6.96562i | −0.0674176 | − | 0.246118i | ||||
\(802\) | −12.1615 | −0.429436 | ||||||||
\(803\) | −0.816934 | − | 1.41497i | −0.0288290 | − | 0.0499333i | ||||
\(804\) | −0.399583 | + | 3.10181i | −0.0140922 | + | 0.109393i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.06373 | + | 1.84244i | −0.0374684 | + | 0.0648972i | ||||
\(807\) | 27.3282 | + | 20.8491i | 0.961997 | + | 0.733922i | ||||
\(808\) | −2.41968 | − | 4.19100i | −0.0851240 | − | 0.147439i | ||||
\(809\) | −31.8705 | −1.12051 | −0.560254 | − | 0.828321i | \(-0.689296\pi\) | ||||
−0.560254 | + | 0.828321i | \(0.689296\pi\) | |||||||
\(810\) | 14.1789 | − | 8.39800i | 0.498195 | − | 0.295076i | ||||
\(811\) | −43.3860 | −1.52349 | −0.761744 | − | 0.647878i | \(-0.775657\pi\) | ||||
−0.761744 | + | 0.647878i | \(0.775657\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 14.6534 | + | 11.1793i | 0.513918 | + | 0.392076i | ||||
\(814\) | −1.04704 | + | 1.81353i | −0.0366987 | + | 0.0635641i | ||||
\(815\) | −12.3382 | + | 21.3704i | −0.432188 | + | 0.748571i | ||||
\(816\) | −0.143012 | + | 1.11015i | −0.00500643 | + | 0.0388631i | ||||
\(817\) | −14.0113 | − | 24.2682i | −0.490193 | − | 0.849039i | ||||
\(818\) | 13.2842 | 0.464470 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 30.9731 | 1.08163 | ||||||||
\(821\) | 8.19677 | + | 14.1972i | 0.286069 | + | 0.495487i | 0.972868 | − | 0.231361i | \(-0.0743179\pi\) |
−0.686799 | + | 0.726848i | \(0.740985\pi\) | |||||||
\(822\) | −0.387166 | + | 0.161633i | −0.0135040 | + | 0.00563761i | ||||
\(823\) | 13.1890 | − | 22.8440i | 0.459739 | − | 0.796292i | −0.539208 | − | 0.842173i | \(-0.681276\pi\) |
0.998947 | + | 0.0458812i | \(0.0146096\pi\) | |||||||
\(824\) | 9.03925 | − | 15.6564i | 0.314897 | − | 0.545418i | ||||
\(825\) | 12.3193 | − | 5.14301i | 0.428901 | − | 0.179057i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.7225 | 1.27697 | 0.638484 | − | 0.769635i | \(-0.279562\pi\) | ||||
0.638484 | + | 0.769635i | \(0.279562\pi\) | |||||||
\(828\) | −9.16822 | + | 9.27085i | −0.318618 | + | 0.322184i | ||||
\(829\) | 24.3158 | 0.844522 | 0.422261 | − | 0.906474i | \(-0.361237\pi\) | ||||
0.422261 | + | 0.906474i | \(0.361237\pi\) | |||||||
\(830\) | 11.2820 | + | 19.5410i | 0.391604 | + | 0.678279i | ||||
\(831\) | −5.50619 | + | 42.7425i | −0.191008 | + | 1.48272i | ||||
\(832\) | 1.60867 | − | 2.78629i | 0.0557705 | − | 0.0965974i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.73944 | + | 5.14162i | 0.233368 | + | 0.178040i | ||||
\(835\) | −32.5519 | − | 56.3815i | −1.12650 | − | 1.95116i | ||||
\(836\) | 4.39682 | 0.152067 | ||||||||
\(837\) | 11.4636 | + | 14.6842i | 0.396240 | + | 0.507559i | ||||
\(838\) | 10.4392 | 0.360618 | ||||||||
\(839\) | 12.8405 | + | 22.2404i | 0.443303 | + | 0.767824i | 0.997932 | − | 0.0642741i | \(-0.0204732\pi\) |
−0.554629 | + | 0.832098i | \(0.687140\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.91963 | − | 10.2531i | 0.204125 | − | 0.353555i | ||||
\(842\) | 3.69190 | − | 6.39456i | 0.127231 | − | 0.220371i | ||||
\(843\) | 3.02618 | − | 23.4911i | 0.104227 | − | 0.809076i | ||||
\(844\) | −1.35400 | − | 2.34519i | −0.0466065 | − | 0.0807249i | ||||
\(845\) | −42.7153 | −1.46945 | ||||||||
\(846\) | 14.6394 | + | 3.83542i | 0.503313 | + | 0.131864i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −12.7826 | − | 22.1402i | −0.438958 | − | 0.760297i | ||||
\(849\) | 10.1045 | − | 4.21839i | 0.346784 | − | 0.144775i | ||||
\(850\) | −0.535200 | + | 0.926994i | −0.0183572 | + | 0.0317956i | ||||
\(851\) | −5.86148 | + | 10.1524i | −0.200929 | + | 0.348019i | ||||
\(852\) | −13.8652 | + | 5.78842i | −0.475015 | + | 0.198308i | ||||
\(853\) | −14.4872 | − | 25.0925i | −0.496031 | − | 0.859150i | 0.503959 | − | 0.863728i | \(-0.331876\pi\) |
−0.999990 | + | 0.00457743i | \(0.998543\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −30.0937 | − | 7.88431i | −1.02918 | − | 0.269638i | ||||
\(856\) | 20.2918 | 0.693559 | ||||||||
\(857\) | −12.6934 | − | 21.9856i | −0.433598 | − | 0.751015i | 0.563582 | − | 0.826060i | \(-0.309423\pi\) |
−0.997180 | + | 0.0750458i | \(0.976090\pi\) | |||||||
\(858\) | 0.117213 | − | 0.909879i | 0.00400158 | − | 0.0310628i | ||||
\(859\) | −2.97891 | + | 5.15963i | −0.101639 | + | 0.176044i | −0.912360 | − | 0.409388i | \(-0.865742\pi\) |
0.810721 | + | 0.585433i | \(0.199075\pi\) | |||||||
\(860\) | 32.3166 | − | 55.9740i | 1.10199 | − | 1.90870i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.94310 | + | 6.82966i | 0.134303 | + | 0.232619i | ||||
\(863\) | −16.3909 | −0.557953 | −0.278977 | − | 0.960298i | \(-0.589995\pi\) | ||||
−0.278977 | + | 0.960298i | \(0.589995\pi\) | |||||||
\(864\) | 16.0036 | + | 20.4996i | 0.544452 | + | 0.697410i | ||||
\(865\) | 14.3525 | 0.487999 | ||||||||
\(866\) | 4.05764 | + | 7.02804i | 0.137884 | + | 0.238822i | ||||
\(867\) | −23.3239 | − | 17.7942i | −0.792122 | − | 0.604322i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.802920 | + | 1.39070i | −0.0272372 | + | 0.0471762i | ||||
\(870\) | 1.67858 | − | 13.0302i | 0.0569092 | − | 0.441765i | ||||
\(871\) | −0.615929 | − | 1.06682i | −0.0208700 | − | 0.0361478i | ||||
\(872\) | 3.95006 | 0.133766 | ||||||||
\(873\) | 23.2975 | − | 23.5583i | 0.788502 | − | 0.797329i | ||||
\(874\) | −3.45030 | −0.116708 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.13224 | + | 2.14260i | −0.173402 | + | 0.0723916i | ||||
\(877\) | −17.6270 | + | 30.5308i | −0.595220 | + | 1.03095i | 0.398295 | + | 0.917257i | \(0.369602\pi\) |
−0.993516 | + | 0.113695i | \(0.963731\pi\) | |||||||
\(878\) | 3.85407 | − | 6.67544i | 0.130068 | − | 0.225285i | ||||
\(879\) | 4.20392 | − | 1.75504i | 0.141795 | − | 0.0591962i | ||||
\(880\) | 4.26017 | + | 7.37883i | 0.143610 | + | 0.248740i | ||||
\(881\) | −26.2582 | −0.884661 | −0.442331 | − | 0.896852i | \(-0.645848\pi\) | ||||
−0.442331 | + | 0.896852i | \(0.645848\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.0087 | 0.336821 | 0.168410 | − | 0.985717i | \(-0.446137\pi\) | ||||
0.168410 | + | 0.985717i | \(0.446137\pi\) | |||||||
\(884\) | −0.262378 | − | 0.454452i | −0.00882473 | − | 0.0152849i | ||||
\(885\) | −1.48100 | + | 11.4965i | −0.0497833 | + | 0.386449i | ||||
\(886\) | 0.443815 | − | 0.768711i | 0.0149103 | − | 0.0258253i | ||||
\(887\) | −7.95282 | + | 13.7747i | −0.267030 | + | 0.462509i | −0.968093 | − | 0.250590i | \(-0.919376\pi\) |
0.701064 | + | 0.713099i | \(0.252709\pi\) | |||||||
\(888\) | 12.1286 | + | 9.25311i | 0.407010 | + | 0.310514i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.40804 | 0.147758 | ||||||||
\(891\) | −7.00116 | − | 3.93887i | −0.234548 | − | 0.131957i | ||||
\(892\) | 9.54838 | 0.319703 | ||||||||
\(893\) | −14.2844 | − | 24.7413i | −0.478009 | − | 0.827935i | ||||
\(894\) | −14.3560 | − | 10.9524i | −0.480136 | − | 0.366303i | ||||
\(895\) | 13.5428 | − | 23.4569i | 0.452687 | − | 0.784077i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.656173 | − | 5.09363i | 0.0219090 | − | 0.170071i | ||||
\(898\) | 3.36364 | + | 5.82599i | 0.112246 | + | 0.194416i | ||||
\(899\) | 14.8517 | 0.495331 | ||||||||
\(900\) | −12.0051 | − | 43.8266i | −0.400171 | − | 1.46089i | ||||
\(901\) | −2.47215 | −0.0823594 | ||||||||
\(902\) | 1.05822 | + | 1.83288i | 0.0352348 | + | 0.0610284i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.7307 | − | 25.5144i | 0.489937 | − | 0.848597i | ||||
\(905\) | 20.7829 | − | 35.9970i | 0.690846 | − | 1.19658i | ||||
\(906\) | 1.18758 | − | 0.495787i | 0.0394546 | − | 0.0164714i | ||||
\(907\) | 8.54624 | + | 14.8025i | 0.283773 | + | 0.491510i | 0.972311 | − | 0.233691i | \(-0.0750804\pi\) |
−0.688538 | + | 0.725201i | \(0.741747\pi\) | |||||||
\(908\) | −28.1998 | −0.935843 | ||||||||
\(909\) | 5.48390 | − | 5.54528i | 0.181889 | − | 0.183925i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.9435 | + | 25.8829i | 0.495099 | + | 0.857537i | 0.999984 | − | 0.00564955i | \(-0.00179832\pi\) |
−0.504885 | + | 0.863187i | \(0.668465\pi\) | |||||||
\(912\) | 1.60658 | − | 12.4713i | 0.0531992 | − | 0.412966i | ||||
\(913\) | 5.49961 | − | 9.52561i | 0.182011 | − | 0.315252i | ||||
\(914\) | 0.636986 | − | 1.10329i | 0.0210696 | − | 0.0364937i | ||||
\(915\) | −54.9377 | − | 41.9128i | −1.81619 | − | 1.38560i | ||||
\(916\) | 8.74286 | + | 15.1431i | 0.288872 | + | 0.500341i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0.637873 | − | 0.0894015i | 0.0210530 | − | 0.00295069i | ||||
\(919\) | −23.6567 | −0.780362 | −0.390181 | − | 0.920738i | \(-0.627588\pi\) | ||||
−0.390181 | + | 0.920738i | \(0.627588\pi\) | |||||||
\(920\) | −8.51579 | − | 14.7498i | −0.280757 | − | 0.486286i | ||||
\(921\) | 3.84882 | + | 2.93632i | 0.126823 | + | 0.0967550i | ||||
\(922\) | 8.97196 | − | 15.5399i | 0.295476 | − | 0.511779i | ||||
\(923\) | 2.95907 | − | 5.12525i | 0.0973989 | − | 0.168700i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.4280 | − | 35.3823i | −0.671667 | − | 1.16336i | ||||
\(926\) | 8.12454 | 0.266989 | ||||||||
\(927\) | 28.1834 | + | 7.38385i | 0.925666 | + | 0.242518i | ||||
\(928\) | 20.7334 | 0.680607 | ||||||||
\(929\) | 6.30880 | + | 10.9272i | 0.206985 | + | 0.358509i | 0.950763 | − | 0.309918i | \(-0.100302\pi\) |
−0.743778 | + | 0.668426i | \(0.766968\pi\) | |||||||
\(930\) | −10.4924 | + | 4.38036i | −0.344061 | + | 0.143638i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −14.5073 | + | 25.1274i | −0.475203 | + | 0.823075i | ||||
\(933\) | −24.1356 | + | 10.0761i | −0.790164 | + | 0.329876i | ||||
\(934\) | −2.15714 | − | 3.73627i | −0.0705836 | − | 0.122254i | ||||
\(935\) | 0.823914 | 0.0269449 | ||||||||
\(936\) | −6.46500 | − | 1.69378i | −0.211315 | − | 0.0553630i | ||||
\(937\) | 26.3440 | 0.860622 | 0.430311 | − | 0.902681i | \(-0.358404\pi\) | ||||
0.430311 | + | 0.902681i | \(0.358404\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 5.63834 | − | 43.7683i | 0.184000 | − | 1.42833i | ||||
\(940\) | 32.9465 | − | 57.0651i | 1.07460 | − | 1.86126i | ||||
\(941\) | 25.4699 | − | 44.1151i | 0.830294 | − | 1.43811i | −0.0675118 | − | 0.997718i | \(-0.521506\pi\) |
0.897805 | − | 0.440392i | \(-0.145161\pi\) | |||||||
\(942\) | −11.3895 | − | 8.68923i | −0.371090 | − | 0.283110i | ||||
\(943\) | 5.92404 | + | 10.2607i | 0.192913 | + | 0.334136i | ||||
\(944\) | −4.68525 | −0.152492 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.41648 | 0.143592 | ||||||||
\(947\) | −13.8399 | − | 23.9714i | −0.449737 | − | 0.778967i | 0.548632 | − | 0.836064i | \(-0.315149\pi\) |
−0.998369 | + | 0.0570968i | \(0.981816\pi\) | |||||||
\(948\) | 4.34581 | + | 3.31548i | 0.141145 | + | 0.107682i | ||||
\(949\) | 1.09530 | − | 1.89712i | 0.0355551 | − | 0.0615832i | ||||
\(950\) | 6.01236 | − | 10.4137i | 0.195067 | − | 0.337866i | ||||
\(951\) | 7.19682 | − | 55.8662i | 0.233373 | − | 1.81159i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −27.4017 | −0.887628 | −0.443814 | − | 0.896119i | \(-0.646375\pi\) | ||||
−0.443814 | + | 0.896119i | \(0.646375\pi\) | |||||||
\(954\) | −10.3444 | + | 10.4602i | −0.334914 | + | 0.338663i | ||||
\(955\) | −88.0530 | −2.84933 | ||||||||
\(956\) | 19.3162 | + | 33.4567i | 0.624731 | + | 1.08207i | ||||
\(957\) | −5.90994 | + | 2.46727i | −0.191041 | + | 0.0797554i | ||||
\(958\) | 4.40515 | − | 7.62994i | 0.142324 | − | 0.246512i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 15.8676 | − | 6.62436i | 0.512123 | − | 0.213800i | ||||
\(961\) | 9.07336 | + | 15.7155i | 0.292689 | + | 0.506952i | ||||
\(962\) | −2.80764 | −0.0905219 | ||||||||
\(963\) | 8.63946 | + | 31.5396i | 0.278403 | + | 1.01635i | ||||
\(964\) | 29.3289 | 0.944621 | ||||||||
\(965\) | −10.9569 | − | 18.9779i | −0.352715 | − | 0.610921i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.09069 | − | 15.7455i | 0.292337 | − | 0.506342i | −0.682025 | − | 0.731329i | \(-0.738900\pi\) |
0.974362 | + | 0.224986i | \(0.0722338\pi\) | |||||||
\(968\) | 9.49698 | − | 16.4492i | 0.305244 | − | 0.528699i | ||||
\(969\) | −0.966723 | − | 0.737527i | −0.0310556 | − | 0.0236928i | ||||
\(970\) | 10.1111 | + | 17.5130i | 0.324649 | + | 0.562309i | ||||
\(971\) | 39.4832 | 1.26708 | 0.633538 | − | 0.773712i | \(-0.281602\pi\) | ||||
0.633538 | + | 0.773712i | \(0.281602\pi\) | |||||||
\(972\) | −16.3425 | + | 21.9229i | −0.524185 | + | 0.703178i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.12941 | − | 7.15234i | −0.132315 | − | 0.229176i | ||||
\(975\) | 14.2302 | + | 10.8564i | 0.455731 | + | 0.347684i | ||||
\(976\) | 13.9651 | − | 24.1883i | 0.447012 | − | 0.774248i | ||||
\(977\) | −5.95782 | + | 10.3193i | −0.190608 | + | 0.330142i | −0.945452 | − | 0.325762i | \(-0.894379\pi\) |
0.754844 | + | 0.655904i | \(0.227712\pi\) | |||||||
\(978\) | −0.733323 | + | 5.69252i | −0.0234491 | + | 0.182027i | ||||
\(979\) | −1.07439 | − | 1.86090i | −0.0343376 | − | 0.0594745i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.68178 | + | 6.13961i | 0.0536952 | + | 0.196023i | ||||
\(982\) | −3.18368 | −0.101595 | ||||||||
\(983\) | −9.23896 | − | 16.0024i | −0.294677 | − | 0.510396i | 0.680233 | − | 0.732996i | \(-0.261879\pi\) |
−0.974910 | + | 0.222601i | \(0.928545\pi\) | |||||||
\(984\) | 14.2280 | − | 5.93987i | 0.453572 | − | 0.189356i | ||||
\(985\) | 28.5588 | − | 49.4653i | 0.909959 | − | 1.57609i | ||||
\(986\) | 0.256752 | − | 0.444708i | 0.00817666 | − | 0.0141624i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.94752 | + | 5.10525i | 0.0937731 | + | 0.162420i | ||||
\(989\) | 24.7241 | 0.786179 | ||||||||
\(990\) | 3.44757 | − | 3.48616i | 0.109571 | − | 0.110798i | ||||
\(991\) | 12.6970 | 0.403334 | 0.201667 | − | 0.979454i | \(-0.435364\pi\) | ||||
0.201667 | + | 0.979454i | \(0.435364\pi\) | |||||||
\(992\) | −8.97181 | − | 15.5396i | −0.284855 | − | 0.493384i | ||||
\(993\) | 4.00435 | − | 31.0843i | 0.127074 | − | 0.986430i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −28.6108 | + | 49.5553i | −0.907023 | + | 1.57101i | ||||
\(996\) | −29.7667 | − | 22.7094i | −0.943194 | − | 0.719576i | ||||
\(997\) | 20.9767 | + | 36.3327i | 0.664338 | + | 1.15067i | 0.979464 | + | 0.201617i | \(0.0646197\pi\) |
−0.315127 | + | 0.949050i | \(0.602047\pi\) | |||||||
\(998\) | −5.52690 | −0.174951 | ||||||||
\(999\) | −9.21826 | + | 22.7912i | −0.291653 | + | 0.721081i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))