Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2646,2,Mod(883,2646)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2646, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2646.883");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2646.f (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(21.1284163748\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 1765.1 | ||
Root | \(0.500000 - 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2646.1765 |
Dual form | 2646.2.f.n.883.1 |
$q$-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 \(\left(\mathbb{Z}/2646\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.84981 | + | 3.20397i | −0.827262 | + | 1.43286i | 0.0729162 | + | 0.997338i | \(0.476769\pi\) |
−0.900178 | + | 0.435522i | \(0.856564\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.69963 | −1.16993 | ||||||||
\(11\) | −0.738550 | − | 1.27921i | −0.222681 | − | 0.385695i | 0.732940 | − | 0.680293i | \(-0.238148\pi\) |
−0.955621 | + | 0.294598i | \(0.904814\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.34981 | − | 2.33795i | 0.374371 | − | 0.648430i | −0.615862 | − | 0.787854i | \(-0.711192\pi\) |
0.990233 | + | 0.139425i | \(0.0445253\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −6.57598 | −1.59491 | −0.797455 | − | 0.603378i | \(-0.793821\pi\) | ||||
−0.797455 | + | 0.603378i | \(0.793821\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.888736 | −0.203890 | −0.101945 | − | 0.994790i | \(-0.532507\pi\) | ||||
−0.101945 | + | 0.994790i | \(0.532507\pi\) | |||||||
\(20\) | −1.84981 | − | 3.20397i | −0.413631 | − | 0.716430i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.738550 | − | 1.27921i | 0.157459 | − | 0.272728i | ||||
\(23\) | 3.14400 | − | 5.44556i | 0.655568 | − | 1.13548i | −0.326182 | − | 0.945307i | \(-0.605762\pi\) |
0.981751 | − | 0.190171i | \(-0.0609043\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.34362 | − | 7.52338i | −0.868725 | − | 1.50468i | ||||
\(26\) | 2.69963 | 0.529441 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.25526 | − | 2.17417i | −0.233096 | − | 0.403734i | 0.725622 | − | 0.688094i | \(-0.241552\pi\) |
−0.958718 | + | 0.284360i | \(0.908219\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.40545 | − | 5.89841i | 0.611636 | − | 1.05938i | −0.379329 | − | 0.925262i | \(-0.623845\pi\) |
0.990965 | − | 0.134123i | \(-0.0428217\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.28799 | − | 5.69497i | −0.563886 | − | 0.976679i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.77747 | 0.456614 | 0.228307 | − | 0.973589i | \(-0.426681\pi\) | ||||
0.228307 | + | 0.973589i | \(0.426681\pi\) | |||||||
\(38\) | −0.444368 | − | 0.769668i | −0.0720860 | − | 0.124857i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.84981 | − | 3.20397i | 0.292481 | − | 0.506592i | ||||
\(41\) | −2.05563 | + | 3.56046i | −0.321036 | + | 0.556050i | −0.980702 | − | 0.195508i | \(-0.937364\pi\) |
0.659666 | + | 0.751559i | \(0.270698\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.00618986 | + | 0.0107211i | 0.000943944 | + | 0.00163496i | 0.866497 | − | 0.499182i | \(-0.166366\pi\) |
−0.865553 | + | 0.500817i | \(0.833033\pi\) | |||||||
\(44\) | 1.47710 | 0.222681 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.28799 | 0.927114 | ||||||||
\(47\) | 3.49381 | + | 6.05146i | 0.509625 | + | 0.882696i | 0.999938 | + | 0.0111494i | \(0.00354904\pi\) |
−0.490313 | + | 0.871546i | \(0.663118\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.34362 | − | 7.52338i | 0.614281 | − | 1.06397i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.34981 | + | 2.33795i | 0.187186 | + | 0.324215i | ||||
\(53\) | −3.21015 | −0.440948 | −0.220474 | − | 0.975393i | \(-0.570760\pi\) | ||||
−0.220474 | + | 0.975393i | \(0.570760\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.46472 | 0.736863 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.25526 | − | 2.17417i | 0.164824 | − | 0.285483i | ||||
\(59\) | −3.45489 | + | 5.98404i | −0.449788 | + | 0.779056i | −0.998372 | − | 0.0570397i | \(-0.981834\pi\) |
0.548584 | + | 0.836096i | \(0.315167\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.86652 | − | 4.96497i | −0.367021 | − | 0.635699i | 0.622077 | − | 0.782956i | \(-0.286289\pi\) |
−0.989098 | + | 0.147257i | \(0.952956\pi\) | |||||||
\(62\) | 6.81089 | 0.864984 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.99381 | + | 8.64953i | 0.619406 | + | 1.07284i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.73236 | − | 8.19669i | 0.578150 | − | 1.00138i | −0.417542 | − | 0.908658i | \(-0.637108\pi\) |
0.995692 | − | 0.0927271i | \(-0.0295584\pi\) | |||||||
\(68\) | 3.28799 | − | 5.69497i | 0.398728 | − | 0.690616i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.46472 | 0.648543 | 0.324271 | − | 0.945964i | \(-0.394881\pi\) | ||||
0.324271 | + | 0.945964i | \(0.394881\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.0655 | −1.41216 | −0.706078 | − | 0.708134i | \(-0.749537\pi\) | ||||
−0.706078 | + | 0.708134i | \(0.749537\pi\) | |||||||
\(74\) | 1.38874 | + | 2.40536i | 0.161437 | + | 0.279618i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.444368 | − | 0.769668i | 0.0509725 | − | 0.0882870i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.72617 | − | 9.91802i | −0.644244 | − | 1.11586i | −0.984475 | − | 0.175522i | \(-0.943839\pi\) |
0.340231 | − | 0.940342i | \(-0.389495\pi\) | |||||||
\(80\) | 3.69963 | 0.413631 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.11126 | −0.454013 | ||||||||
\(83\) | 2.23855 | + | 3.87728i | 0.245713 | + | 0.425587i | 0.962332 | − | 0.271878i | \(-0.0876447\pi\) |
−0.716619 | + | 0.697465i | \(0.754311\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 12.1643 | − | 21.0693i | 1.31941 | − | 2.28528i | ||||
\(86\) | −0.00618986 | + | 0.0107211i | −0.000667469 | + | 0.00115609i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.738550 | + | 1.27921i | 0.0787297 | + | 0.136364i | ||||
\(89\) | 8.87636 | 0.940892 | 0.470446 | − | 0.882429i | \(-0.344093\pi\) | ||||
0.470446 | + | 0.882429i | \(0.344093\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 3.14400 | + | 5.44556i | 0.327784 | + | 0.567739i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.49381 | + | 6.05146i | −0.360359 | + | 0.624160i | ||||
\(95\) | 1.64400 | − | 2.84748i | 0.168670 | − | 0.292146i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.58836 | + | 11.4114i | 0.668947 | + | 1.15865i | 0.978199 | + | 0.207670i | \(0.0665880\pi\) |
−0.309252 | + | 0.950980i | \(0.600079\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.68725 | 0.868725 | ||||||||
\(101\) | −2.62729 | − | 4.55059i | −0.261425 | − | 0.452801i | 0.705196 | − | 0.709012i | \(-0.250859\pi\) |
−0.966621 | + | 0.256212i | \(0.917526\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.833104 | − | 1.44298i | 0.0820882 | − | 0.142181i | −0.822059 | − | 0.569403i | \(-0.807174\pi\) |
0.904147 | + | 0.427222i | \(0.140508\pi\) | |||||||
\(104\) | −1.34981 | + | 2.33795i | −0.132360 | + | 0.229255i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.60507 | − | 2.78007i | −0.155899 | − | 0.270024i | ||||
\(107\) | −10.7651 | −1.04070 | −0.520350 | − | 0.853953i | \(-0.674199\pi\) | ||||
−0.520350 | + | 0.853953i | \(0.674199\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.189108 | 0.0181132 | 0.00905662 | − | 0.999959i | \(-0.497117\pi\) | ||||
0.00905662 | + | 0.999959i | \(0.497117\pi\) | |||||||
\(110\) | 2.73236 | + | 4.73259i | 0.260520 | + | 0.451234i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.78180 | − | 11.7464i | 0.637978 | − | 1.10501i | −0.347897 | − | 0.937533i | \(-0.613104\pi\) |
0.985876 | − | 0.167478i | \(-0.0535624\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.6316 | + | 20.1466i | 1.08465 | + | 1.87868i | ||||
\(116\) | 2.51052 | 0.233096 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.90978 | −0.636097 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.40909 | − | 7.63676i | 0.400826 | − | 0.694251i | ||||
\(122\) | 2.86652 | − | 4.96497i | 0.259523 | − | 0.449507i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.40545 | + | 5.89841i | 0.305818 | + | 0.529692i | ||||
\(125\) | 13.6414 | 1.22013 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.85669 | −0.253490 | −0.126745 | − | 0.991935i | \(-0.540453\pi\) | ||||
−0.126745 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.99381 | + | 8.64953i | −0.437986 | + | 0.758614i | ||||
\(131\) | −0.0778435 | + | 0.134829i | −0.00680122 | + | 0.0117801i | −0.869406 | − | 0.494098i | \(-0.835498\pi\) |
0.862605 | + | 0.505878i | \(0.168832\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 9.46472 | 0.817627 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.57598 | 0.563886 | ||||||||
\(137\) | −1.70582 | − | 2.95456i | −0.145738 | − | 0.252425i | 0.783910 | − | 0.620874i | \(-0.213222\pi\) |
−0.929648 | + | 0.368449i | \(0.879889\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.75526 | − | 11.7005i | 0.572974 | − | 0.992420i | −0.423285 | − | 0.905997i | \(-0.639123\pi\) |
0.996259 | − | 0.0864229i | \(-0.0275436\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.73236 | + | 4.73259i | 0.229295 | + | 0.397150i | ||||
\(143\) | −3.98762 | −0.333462 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.28799 | 0.771326 | ||||||||
\(146\) | −6.03273 | − | 10.4490i | −0.499272 | − | 0.864765i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.38874 | + | 2.40536i | −0.114153 | + | 0.197719i | ||||
\(149\) | 0.166896 | − | 0.289073i | 0.0136727 | − | 0.0236818i | −0.859108 | − | 0.511794i | \(-0.828981\pi\) |
0.872781 | + | 0.488112i | \(0.162314\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.95489 | + | 17.2424i | 0.810117 | + | 1.40316i | 0.912781 | + | 0.408448i | \(0.133930\pi\) |
−0.102664 | + | 0.994716i | \(0.532737\pi\) | |||||||
\(152\) | 0.888736 | 0.0720860 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.5989 | + | 21.8219i | 1.01197 | + | 1.75278i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.48143 | + | 6.03001i | −0.277848 | + | 0.481248i | −0.970850 | − | 0.239689i | \(-0.922955\pi\) |
0.693001 | + | 0.720936i | \(0.256288\pi\) | |||||||
\(158\) | 5.72617 | − | 9.91802i | 0.455550 | − | 0.789035i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.84981 | + | 3.20397i | 0.146241 | + | 0.253296i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.07413 | −0.632414 | −0.316207 | − | 0.948690i | \(-0.602409\pi\) | ||||
−0.316207 | + | 0.948690i | \(0.602409\pi\) | |||||||
\(164\) | −2.05563 | − | 3.56046i | −0.160518 | − | 0.278025i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.23855 | + | 3.87728i | −0.173745 | + | 0.300935i | ||||
\(167\) | 9.74288 | − | 16.8752i | 0.753927 | − | 1.30584i | −0.191979 | − | 0.981399i | \(-0.561491\pi\) |
0.945906 | − | 0.324440i | \(-0.105176\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.85600 | + | 4.94674i | 0.219693 | + | 0.380519i | ||||
\(170\) | 24.3287 | 1.86593 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0123797 | −0.000943944 | ||||||||
\(173\) | −11.2818 | − | 19.5407i | −0.857740 | − | 1.48565i | −0.874080 | − | 0.485782i | \(-0.838535\pi\) |
0.0163405 | − | 0.999866i | \(-0.494798\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.738550 | + | 1.27921i | −0.0556703 | + | 0.0964238i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.43818 | + | 7.68715i | 0.332656 | + | 0.576176i | ||||
\(179\) | 0.333792 | 0.0249488 | 0.0124744 | − | 0.999922i | \(-0.496029\pi\) | ||||
0.0124744 | + | 0.999922i | \(0.496029\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −23.2422 | −1.72758 | −0.863789 | − | 0.503853i | \(-0.831915\pi\) | ||||
−0.863789 | + | 0.503853i | \(0.831915\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.14400 | + | 5.44556i | −0.231778 | + | 0.401452i | ||||
\(185\) | −5.13781 | + | 8.89894i | −0.377739 | + | 0.654263i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.85669 | + | 8.41204i | 0.355157 | + | 0.615149i | ||||
\(188\) | −6.98762 | −0.509625 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.28799 | 0.238536 | ||||||||
\(191\) | −8.16071 | − | 14.1348i | −0.590488 | − | 1.02276i | −0.994167 | − | 0.107854i | \(-0.965602\pi\) |
0.403679 | − | 0.914901i | \(-0.367731\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.16071 | − | 12.4027i | 0.515439 | − | 0.892766i | −0.484400 | − | 0.874846i | \(-0.660962\pi\) |
0.999839 | − | 0.0179200i | \(-0.00570443\pi\) | |||||||
\(194\) | −6.58836 | + | 11.4114i | −0.473017 | + | 0.819289i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.42402 | −0.172704 | −0.0863520 | − | 0.996265i | \(-0.527521\pi\) | ||||
−0.0863520 | + | 0.996265i | \(0.527521\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.11126 | −0.433216 | −0.216608 | − | 0.976259i | \(-0.569499\pi\) | ||||
−0.216608 | + | 0.976259i | \(0.569499\pi\) | |||||||
\(200\) | 4.34362 | + | 7.52338i | 0.307141 | + | 0.531983i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.62729 | − | 4.55059i | 0.184855 | − | 0.320179i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.60507 | − | 13.1724i | −0.531161 | − | 0.919999i | ||||
\(206\) | 1.66621 | 0.116090 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.69963 | −0.187186 | ||||||||
\(209\) | 0.656376 | + | 1.13688i | 0.0454025 | + | 0.0786394i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.72253 | − | 9.91171i | 0.393955 | − | 0.682350i | −0.599012 | − | 0.800740i | \(-0.704440\pi\) |
0.992967 | + | 0.118390i | \(0.0377732\pi\) | |||||||
\(212\) | 1.60507 | − | 2.78007i | 0.110237 | − | 0.190936i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.38255 | − | 9.32284i | −0.367943 | − | 0.637296i | ||||
\(215\) | −0.0458003 | −0.00312356 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.0945538 | + | 0.163772i | 0.00640399 | + | 0.0110920i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.73236 | + | 4.73259i | −0.184216 | + | 0.319071i | ||||
\(221\) | −8.87636 | + | 15.3743i | −0.597088 | + | 1.03419i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.61126 | + | 6.25489i | 0.241828 | + | 0.418859i | 0.961235 | − | 0.275730i | \(-0.0889196\pi\) |
−0.719407 | + | 0.694589i | \(0.755586\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.5636 | 0.902238 | ||||||||
\(227\) | −6.82760 | − | 11.8258i | −0.453164 | − | 0.784903i | 0.545417 | − | 0.838165i | \(-0.316371\pi\) |
−0.998581 | + | 0.0532622i | \(0.983038\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.68725 | − | 15.0468i | 0.574070 | − | 0.994318i | −0.422073 | − | 0.906562i | \(-0.638697\pi\) |
0.996142 | − | 0.0877555i | \(-0.0279694\pi\) | |||||||
\(230\) | −11.6316 | + | 20.1466i | −0.766966 | + | 1.32842i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.25526 | + | 2.17417i | 0.0824119 | + | 0.142742i | ||||
\(233\) | 15.2422 | 0.998549 | 0.499275 | − | 0.866444i | \(-0.333600\pi\) | ||||
0.499275 | + | 0.866444i | \(0.333600\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −25.8516 | −1.68637 | ||||||||
\(236\) | −3.45489 | − | 5.98404i | −0.224894 | − | 0.389528i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.47524 | + | 16.4116i | −0.612902 | + | 1.06158i | 0.377846 | + | 0.925868i | \(0.376665\pi\) |
−0.990749 | + | 0.135710i | \(0.956669\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.2527 | − | 21.2223i | −0.789267 | − | 1.36705i | −0.926417 | − | 0.376500i | \(-0.877128\pi\) |
0.137150 | − | 0.990550i | \(-0.456206\pi\) | |||||||
\(242\) | 8.81818 | 0.566854 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.73305 | 0.367021 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.19963 | + | 2.07782i | −0.0763305 | + | 0.132208i | ||||
\(248\) | −3.40545 | + | 5.89841i | −0.216246 | + | 0.374549i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.82072 | + | 11.8138i | 0.431380 | + | 0.747173i | ||||
\(251\) | −12.1236 | −0.765238 | −0.382619 | − | 0.923906i | \(-0.624978\pi\) | ||||
−0.382619 | + | 0.923906i | \(0.624978\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.28799 | −0.583931 | ||||||||
\(254\) | −1.42835 | − | 2.47397i | −0.0896224 | − | 0.155231i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.10439 | − | 7.10900i | 0.256025 | − | 0.443448i | −0.709149 | − | 0.705059i | \(-0.750921\pi\) |
0.965173 | + | 0.261611i | \(0.0842539\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −9.98762 | −0.619406 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.155687 | −0.00961838 | ||||||||
\(263\) | −2.67309 | − | 4.62992i | −0.164830 | − | 0.285493i | 0.771765 | − | 0.635908i | \(-0.219374\pi\) |
−0.936595 | + | 0.350414i | \(0.886041\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.93818 | − | 10.2852i | 0.364779 | − | 0.631816i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.73236 | + | 8.19669i | 0.289075 | + | 0.500692i | ||||
\(269\) | −18.4844 | −1.12701 | −0.563506 | − | 0.826112i | \(-0.690548\pi\) | ||||
−0.563506 | + | 0.826112i | \(0.690548\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.35483 | −0.446774 | −0.223387 | − | 0.974730i | \(-0.571711\pi\) | ||||
−0.223387 | + | 0.974730i | \(0.571711\pi\) | |||||||
\(272\) | 3.28799 | + | 5.69497i | 0.199364 | + | 0.345308i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.70582 | − | 2.95456i | 0.103052 | − | 0.178492i | ||||
\(275\) | −6.41597 | + | 11.1128i | −0.386897 | + | 0.670126i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.54944 | + | 7.87987i | 0.273349 | + | 0.473455i | 0.969717 | − | 0.244230i | \(-0.0785351\pi\) |
−0.696368 | + | 0.717685i | \(0.745202\pi\) | |||||||
\(278\) | 13.5105 | 0.810307 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.00433 | − | 10.3998i | −0.358188 | − | 0.620400i | 0.629470 | − | 0.777025i | \(-0.283272\pi\) |
−0.987658 | + | 0.156624i | \(0.949939\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.92147 | − | 8.52423i | 0.292551 | − | 0.506713i | −0.681861 | − | 0.731481i | \(-0.738829\pi\) |
0.974412 | + | 0.224768i | \(0.0721626\pi\) | |||||||
\(284\) | −2.73236 | + | 4.73259i | −0.162136 | + | 0.280827i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.99381 | − | 3.45338i | −0.117896 | − | 0.204203i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 26.2436 | 1.54374 | ||||||||
\(290\) | 4.64400 | + | 8.04364i | 0.272705 | + | 0.472339i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.03273 | − | 10.4490i | 0.353039 | − | 0.611481i | ||||
\(293\) | 10.7101 | − | 18.5505i | 0.625694 | − | 1.08373i | −0.362713 | − | 0.931901i | \(-0.618149\pi\) |
0.988406 | − | 0.151832i | \(-0.0485173\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.7818 | − | 22.1387i | −0.744185 | − | 1.28897i | ||||
\(296\) | −2.77747 | −0.161437 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.333792 | 0.0193361 | ||||||||
\(299\) | −8.48762 | − | 14.7010i | −0.490852 | − | 0.850180i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −9.95489 | + | 17.2424i | −0.572839 | + | 0.992187i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.444368 | + | 0.769668i | 0.0254862 | + | 0.0441435i | ||||
\(305\) | 21.2101 | 1.21449 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.68725 | 0.324588 | 0.162294 | − | 0.986742i | \(-0.448111\pi\) | ||||
0.162294 | + | 0.986742i | \(0.448111\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −12.5989 | + | 21.8219i | −0.715569 | + | 1.23940i | ||||
\(311\) | 5.86033 | − | 10.1504i | 0.332309 | − | 0.575576i | −0.650655 | − | 0.759373i | \(-0.725506\pi\) |
0.982964 | + | 0.183797i | \(0.0588390\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.3869 | − | 23.1868i | −0.756671 | − | 1.31059i | −0.944539 | − | 0.328398i | \(-0.893491\pi\) |
0.187868 | − | 0.982194i | \(-0.439842\pi\) | |||||||
\(314\) | −6.96286 | −0.392937 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.4523 | 0.644244 | ||||||||
\(317\) | 0.951246 | + | 1.64761i | 0.0534273 | + | 0.0925388i | 0.891502 | − | 0.453016i | \(-0.149652\pi\) |
−0.838075 | + | 0.545555i | \(0.816319\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.85414 | + | 3.21147i | −0.103812 | + | 0.179808i | ||||
\(320\) | −1.84981 | + | 3.20397i | −0.103408 | + | 0.179107i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.84431 | 0.325186 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.4523 | −1.30090 | ||||||||
\(326\) | −4.03706 | − | 6.99240i | −0.223592 | − | 0.387273i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.05563 | − | 3.56046i | 0.113503 | − | 0.196593i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.78366 | − | 4.82144i | −0.153004 | − | 0.265010i | 0.779327 | − | 0.626618i | \(-0.215561\pi\) |
−0.932330 | + | 0.361608i | \(0.882228\pi\) | |||||||
\(332\) | −4.47710 | −0.245713 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 19.4858 | 1.06621 | ||||||||
\(335\) | 17.5080 | + | 30.3247i | 0.956563 | + | 1.65682i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.8869 | + | 29.2489i | −0.919887 | + | 1.59329i | −0.120302 | + | 0.992737i | \(0.538386\pi\) |
−0.799585 | + | 0.600553i | \(0.794947\pi\) | |||||||
\(338\) | −2.85600 | + | 4.94674i | −0.155346 | + | 0.269067i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.1643 | + | 21.0693i | 0.659704 | + | 1.14264i | ||||
\(341\) | −10.0604 | −0.544799 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.00618986 | − | 0.0107211i | −0.000333735 | − | 0.000578045i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.2818 | − | 19.5407i | 0.606513 | − | 1.05051i | ||||
\(347\) | −15.2033 | + | 26.3328i | −0.816154 | + | 1.41362i | 0.0923418 | + | 0.995727i | \(0.470565\pi\) |
−0.908496 | + | 0.417893i | \(0.862769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.29782 | + | 10.9082i | 0.337115 | + | 0.583900i | 0.983889 | − | 0.178782i | \(-0.0572156\pi\) |
−0.646774 | + | 0.762682i | \(0.723882\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.47710 | −0.0787297 | ||||||||
\(353\) | 3.76578 | + | 6.52252i | 0.200432 | + | 0.347159i | 0.948668 | − | 0.316274i | \(-0.102432\pi\) |
−0.748235 | + | 0.663433i | \(0.769099\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.1087 | + | 17.5088i | −0.536515 | + | 0.929271i | ||||
\(356\) | −4.43818 | + | 7.68715i | −0.235223 | + | 0.407418i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.166896 | + | 0.289073i | 0.00882074 | + | 0.0152780i | ||||
\(359\) | −6.89602 | −0.363958 | −0.181979 | − | 0.983302i | \(-0.558250\pi\) | ||||
−0.181979 | + | 0.983302i | \(0.558250\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.2101 | −0.958429 | ||||||||
\(362\) | −11.6211 | − | 20.1283i | −0.610791 | − | 1.05792i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.3189 | − | 38.6574i | 1.16822 | − | 2.02342i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.5618 | + | 20.0257i | 0.603522 | + | 1.04533i | 0.992283 | + | 0.123992i | \(0.0395699\pi\) |
−0.388761 | + | 0.921339i | \(0.627097\pi\) | |||||||
\(368\) | −6.28799 | −0.327784 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.2756 | −0.534204 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.5822 | + | 25.2571i | −0.755036 | + | 1.30776i | 0.190320 | + | 0.981722i | \(0.439047\pi\) |
−0.945356 | + | 0.326039i | \(0.894286\pi\) | |||||||
\(374\) | −4.85669 | + | 8.41204i | −0.251134 | + | 0.434976i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.49381 | − | 6.05146i | −0.180180 | − | 0.312080i | ||||
\(377\) | −6.77747 | −0.349058 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.5622 | −0.696645 | −0.348322 | − | 0.937375i | \(-0.613249\pi\) | ||||
−0.348322 | + | 0.937375i | \(0.613249\pi\) | |||||||
\(380\) | 1.64400 | + | 2.84748i | 0.0843352 | + | 0.146073i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.16071 | − | 14.1348i | 0.417538 | − | 0.723197i | ||||
\(383\) | 1.41783 | − | 2.45575i | 0.0724475 | − | 0.125483i | −0.827526 | − | 0.561428i | \(-0.810252\pi\) |
0.899973 | + | 0.435945i | \(0.143586\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.3214 | 0.728941 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.1767 | −0.668947 | ||||||||
\(389\) | −9.30401 | − | 16.1150i | −0.471732 | − | 0.817064i | 0.527745 | − | 0.849403i | \(-0.323038\pi\) |
−0.999477 | + | 0.0323388i | \(0.989704\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.6749 | + | 35.8099i | −1.04557 | + | 1.81099i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.21201 | − | 2.09926i | −0.0610601 | − | 0.105759i | ||||
\(395\) | 42.3694 | 2.13184 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −20.5760 | −1.03268 | −0.516340 | − | 0.856384i | \(-0.672706\pi\) | ||||
−0.516340 | + | 0.856384i | \(0.672706\pi\) | |||||||
\(398\) | −3.05563 | − | 5.29251i | −0.153165 | − | 0.265290i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.34362 | + | 7.52338i | −0.217181 | + | 0.376169i | ||||
\(401\) | −3.37704 | + | 5.84921i | −0.168642 | + | 0.292096i | −0.937942 | − | 0.346791i | \(-0.887271\pi\) |
0.769301 | + | 0.638887i | \(0.220605\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.19344 | − | 15.9235i | −0.457958 | − | 0.793206i | ||||
\(404\) | 5.25457 | 0.261425 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.05130 | − | 3.55296i | −0.101679 | − | 0.176114i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.66071 | − | 13.2687i | 0.378798 | − | 0.656097i | −0.612090 | − | 0.790788i | \(-0.709671\pi\) |
0.990888 | + | 0.134691i | \(0.0430043\pi\) | |||||||
\(410\) | 7.60507 | − | 13.1724i | 0.375588 | − | 0.650537i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.833104 | + | 1.44298i | 0.0410441 | + | 0.0710904i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.5636 | −0.813075 | ||||||||
\(416\) | −1.34981 | − | 2.33795i | −0.0661801 | − | 0.114627i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.656376 | + | 1.13688i | −0.0321044 | + | 0.0556064i | ||||
\(419\) | −4.32141 | + | 7.48491i | −0.211115 | + | 0.365662i | −0.952064 | − | 0.305900i | \(-0.901043\pi\) |
0.740949 | + | 0.671561i | \(0.234376\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.5636 | + | 32.1531i | 0.904735 | + | 1.56705i | 0.821273 | + | 0.570536i | \(0.193264\pi\) |
0.0834618 | + | 0.996511i | \(0.473402\pi\) | |||||||
\(422\) | 11.4451 | 0.557137 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.21015 | 0.155899 | ||||||||
\(425\) | 28.5636 | + | 49.4736i | 1.38554 | + | 2.39982i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 5.38255 | − | 9.32284i | 0.260175 | − | 0.450637i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0229002 | − | 0.0396643i | −0.00110434 | − | 0.00191278i | ||||
\(431\) | −9.42030 | −0.453760 | −0.226880 | − | 0.973923i | \(-0.572852\pi\) | ||||
−0.226880 | + | 0.973923i | \(0.572852\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.208771 | 0.0100329 | 0.00501645 | − | 0.999987i | \(-0.498403\pi\) | ||||
0.00501645 | + | 0.999987i | \(0.498403\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.0945538 | + | 0.163772i | −0.00452831 | + | 0.00784326i | ||||
\(437\) | −2.79418 | + | 4.83967i | −0.133664 | + | 0.231513i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.98398 | − | 8.63250i | −0.237872 | − | 0.412007i | 0.722231 | − | 0.691652i | \(-0.243117\pi\) |
−0.960104 | + | 0.279645i | \(0.909783\pi\) | |||||||
\(440\) | −5.46472 | −0.260520 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.7527 | −0.844410 | ||||||||
\(443\) | −7.84981 | − | 13.5963i | −0.372956 | − | 0.645979i | 0.617063 | − | 0.786914i | \(-0.288322\pi\) |
−0.990019 | + | 0.140935i | \(0.954989\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.4196 | + | 28.4396i | −0.778364 | + | 1.34817i | ||||
\(446\) | −3.61126 | + | 6.25489i | −0.170998 | + | 0.296178i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −33.6253 | −1.58688 | −0.793439 | − | 0.608650i | \(-0.791712\pi\) | ||||
−0.793439 | + | 0.608650i | \(0.791712\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.07275 | 0.285955 | ||||||||
\(452\) | 6.78180 | + | 11.7464i | 0.318989 | + | 0.552505i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.82760 | − | 11.8258i | 0.320435 | − | 0.555010i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.3541 | − | 28.3262i | −0.765015 | − | 1.32504i | −0.940239 | − | 0.340516i | \(-0.889398\pi\) |
0.175224 | − | 0.984529i | \(-0.443935\pi\) | |||||||
\(458\) | 17.3745 | 0.811857 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −23.2632 | −1.08465 | ||||||||
\(461\) | −2.07165 | − | 3.58821i | −0.0964865 | − | 0.167120i | 0.813742 | − | 0.581227i | \(-0.197427\pi\) |
−0.910228 | + | 0.414107i | \(0.864094\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.34176 | + | 14.4484i | −0.387675 | + | 0.671472i | −0.992136 | − | 0.125162i | \(-0.960055\pi\) |
0.604462 | + | 0.796634i | \(0.293388\pi\) | |||||||
\(464\) | −1.25526 | + | 2.17417i | −0.0582740 | + | 0.100934i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.62110 | + | 13.2001i | 0.353040 | + | 0.611484i | ||||
\(467\) | −29.9171 | −1.38440 | −0.692198 | − | 0.721707i | \(-0.743358\pi\) | ||||
−0.692198 | + | 0.721707i | \(0.743358\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −12.9258 | − | 22.3881i | −0.596223 | − | 1.03269i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.45489 | − | 5.98404i | 0.159024 | − | 0.275438i | ||||
\(473\) | 0.00914304 | − | 0.0158362i | 0.000420397 | − | 0.000728149i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.86033 | + | 6.68630i | 0.177124 | + | 0.306788i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −18.9505 | −0.866775 | ||||||||
\(479\) | 1.47965 | + | 2.56283i | 0.0676068 | + | 0.117098i | 0.897847 | − | 0.440307i | \(-0.145130\pi\) |
−0.830241 | + | 0.557405i | \(0.811797\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.74907 | − | 6.49358i | 0.170943 | − | 0.296082i | ||||
\(482\) | 12.2527 | − | 21.2223i | 0.558096 | − | 0.966650i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.40909 | + | 7.63676i | 0.200413 | + | 0.347126i | ||||
\(485\) | −48.7490 | −2.21358 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.0617 | 1.27160 | 0.635800 | − | 0.771854i | \(-0.280671\pi\) | ||||
0.635800 | + | 0.771854i | \(0.280671\pi\) | |||||||
\(488\) | 2.86652 | + | 4.96497i | 0.129761 | + | 0.224753i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.0734 | + | 29.5721i | −0.770513 | + | 1.33457i | 0.166769 | + | 0.985996i | \(0.446667\pi\) |
−0.937282 | + | 0.348572i | \(0.886667\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 8.25457 | + | 14.2973i | 0.371767 | + | 0.643920i | ||||
\(494\) | −2.39926 | −0.107948 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.81089 | −0.305818 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.14035 | − | 1.97515i | 0.0510493 | − | 0.0884199i | −0.839372 | − | 0.543558i | \(-0.817077\pi\) |
0.890421 | + | 0.455138i | \(0.150410\pi\) | |||||||
\(500\) | −6.82072 | + | 11.8138i | −0.305032 | + | 0.528331i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.06182 | − | 10.4994i | −0.270552 | − | 0.468610i | ||||
\(503\) | 13.9890 | 0.623739 | 0.311869 | − | 0.950125i | \(-0.399045\pi\) | ||||
0.311869 | + | 0.950125i | \(0.399045\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.4400 | 0.865067 | ||||||||
\(506\) | −4.64400 | − | 8.04364i | −0.206451 | − | 0.357583i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.42835 | − | 2.47397i | 0.0633726 | − | 0.109765i | ||||
\(509\) | −12.8090 | + | 22.1859i | −0.567750 | + | 0.983373i | 0.429038 | + | 0.903287i | \(0.358853\pi\) |
−0.996788 | + | 0.0800859i | \(0.974481\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.20877 | 0.362073 | ||||||||
\(515\) | 3.08217 | + | 5.33848i | 0.135817 | + | 0.235242i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.16071 | − | 8.93861i | 0.226968 | − | 0.393119i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.99381 | − | 8.64953i | −0.218993 | − | 0.379307i | ||||
\(521\) | 41.8255 | 1.83241 | 0.916203 | − | 0.400714i | \(-0.131238\pi\) | ||||
0.916203 | + | 0.400714i | \(0.131238\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.7665 | 0.689420 | 0.344710 | − | 0.938709i | \(-0.387977\pi\) | ||||
0.344710 | + | 0.938709i | \(0.387977\pi\) | |||||||
\(524\) | −0.0778435 | − | 0.134829i | −0.00340061 | − | 0.00589003i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.67309 | − | 4.62992i | 0.116552 | − | 0.201874i | ||||
\(527\) | −22.3942 | + | 38.7878i | −0.975505 | + | 1.68962i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.26942 | − | 14.3231i | −0.359540 | − | 0.622742i | ||||
\(530\) | 11.8764 | 0.515876 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.54944 | + | 9.61192i | 0.240373 | + | 0.416338i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 19.9134 | − | 34.4911i | 0.860932 | − | 1.49118i | ||||
\(536\) | −4.73236 | + | 8.19669i | −0.204407 | + | 0.354043i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.24219 | − | 16.0079i | −0.398459 | − | 0.690152i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 42.1927 | 1.81400 | 0.907002 | − | 0.421126i | \(-0.138365\pi\) | ||||
0.907002 | + | 0.421126i | \(0.138365\pi\) | |||||||
\(542\) | −3.67742 | − | 6.36947i | −0.157959 | − | 0.273592i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.28799 | + | 5.69497i | −0.140971 | + | 0.244170i | ||||
\(545\) | −0.349814 | + | 0.605896i | −0.0149844 | + | 0.0259537i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.3356 | + | 35.2222i | 0.869486 | + | 1.50599i | 0.862522 | + | 0.506019i | \(0.168883\pi\) |
0.00696400 | + | 0.999976i | \(0.497783\pi\) | |||||||
\(548\) | 3.41164 | 0.145738 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −12.8319 | −0.547155 | ||||||||
\(551\) | 1.11559 | + | 1.93227i | 0.0475259 | + | 0.0823173i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.54944 | + | 7.87987i | −0.193287 | + | 0.334783i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.75526 | + | 11.7005i | 0.286487 | + | 0.496210i | ||||
\(557\) | 13.3759 | 0.566754 | 0.283377 | − | 0.959009i | \(-0.408545\pi\) | ||||
0.283377 | + | 0.959009i | \(0.408545\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0334206 | 0.00141354 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00433 | − | 10.3998i | 0.253277 | − | 0.438689i | ||||
\(563\) | 16.3807 | − | 28.3722i | 0.690364 | − | 1.19574i | −0.281355 | − | 0.959604i | \(-0.590784\pi\) |
0.971719 | − | 0.236141i | \(-0.0758828\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.0901 | + | 43.4574i | 1.05555 | + | 1.82827i | ||||
\(566\) | 9.84294 | 0.413729 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.46472 | −0.229295 | ||||||||
\(569\) | −8.36398 | − | 14.4868i | −0.350636 | − | 0.607320i | 0.635725 | − | 0.771916i | \(-0.280701\pi\) |
−0.986361 | + | 0.164596i | \(0.947368\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.7367 | − | 23.7926i | 0.574863 | − | 0.995691i | −0.421194 | − | 0.906971i | \(-0.638389\pi\) |
0.996057 | − | 0.0887207i | \(-0.0282778\pi\) | |||||||
\(572\) | 1.99381 | − | 3.45338i | 0.0833654 | − | 0.144393i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −54.6253 | −2.27803 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.83427 | 0.117992 | 0.0589962 | − | 0.998258i | \(-0.481210\pi\) | ||||
0.0589962 | + | 0.998258i | \(0.481210\pi\) | |||||||
\(578\) | 13.1218 | + | 22.7276i | 0.545794 | + | 0.945343i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.64400 | + | 8.04364i | −0.192831 | + | 0.333994i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.37085 | + | 4.10644i | 0.0981908 | + | 0.170071i | ||||
\(584\) | 12.0655 | 0.499272 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.4203 | 0.884864 | ||||||||
\(587\) | −2.34795 | − | 4.06678i | −0.0969105 | − | 0.167854i | 0.813494 | − | 0.581573i | \(-0.197563\pi\) |
−0.910404 | + | 0.413720i | \(0.864229\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.02654 | + | 5.24212i | −0.124706 | + | 0.215998i | ||||
\(590\) | 12.7818 | − | 22.1387i | 0.526218 | − | 0.911437i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.38874 | − | 2.40536i | −0.0570767 | − | 0.0988597i | ||||
\(593\) | −1.27205 | −0.0522367 | −0.0261184 | − | 0.999659i | \(-0.508315\pi\) | ||||
−0.0261184 | + | 0.999659i | \(0.508315\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.166896 | + | 0.289073i | 0.00683634 | + | 0.0118409i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.48762 | − | 14.7010i | 0.347085 | − | 0.601168i | ||||
\(599\) | 21.9258 | − | 37.9766i | 0.895864 | − | 1.55168i | 0.0631320 | − | 0.998005i | \(-0.479891\pi\) |
0.832732 | − | 0.553676i | \(-0.186776\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.71634 | + | 11.6330i | 0.273965 | + | 0.474522i | 0.969874 | − | 0.243609i | \(-0.0783314\pi\) |
−0.695908 | + | 0.718131i | \(0.744998\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −19.9098 | −0.810117 | ||||||||
\(605\) | 16.3120 | + | 28.2532i | 0.663177 | + | 1.14866i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.29232 | + | 3.97042i | −0.0930425 | + | 0.161154i | −0.908790 | − | 0.417254i | \(-0.862993\pi\) |
0.815747 | + | 0.578408i | \(0.196326\pi\) | |||||||
\(608\) | −0.444368 | + | 0.769668i | −0.0180215 | + | 0.0312142i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.6051 | + | 18.3685i | 0.429387 | + | 0.743720i | ||||
\(611\) | 18.8640 | 0.763155 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.1075 | 0.892915 | 0.446458 | − | 0.894805i | \(-0.352685\pi\) | ||||
0.446458 | + | 0.894805i | \(0.352685\pi\) | |||||||
\(614\) | 2.84362 | + | 4.92530i | 0.114759 | + | 0.198769i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.00433 | + | 10.3998i | −0.241725 | + | 0.418680i | −0.961206 | − | 0.275832i | \(-0.911047\pi\) |
0.719481 | + | 0.694513i | \(0.244380\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.78180 | − | 15.2105i | −0.352970 | − | 0.611363i | 0.633798 | − | 0.773499i | \(-0.281495\pi\) |
−0.986768 | + | 0.162136i | \(0.948162\pi\) | |||||||
\(620\) | −25.1978 | −1.01197 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.7207 | 0.469956 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.51602 | + | 6.08993i | −0.140641 | + | 0.243597i | ||||
\(626\) | 13.3869 | − | 23.1868i | 0.535047 | − | 0.926729i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.48143 | − | 6.03001i | −0.138924 | − | 0.240624i | ||||
\(629\) | −18.2646 | −0.728258 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.9381 | −1.78896 | −0.894479 | − | 0.447110i | \(-0.852453\pi\) | ||||
−0.894479 | + | 0.447110i | \(0.852453\pi\) | |||||||
\(632\) | 5.72617 | + | 9.91802i | 0.227775 | + | 0.394518i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.951246 | + | 1.64761i | −0.0377788 | + | 0.0654348i | ||||
\(635\) | 5.28435 | − | 9.15276i | 0.209703 | − | 0.363216i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −3.70829 | −0.146813 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.69963 | −0.146241 | ||||||||
\(641\) | −14.4920 | − | 25.1008i | −0.572398 | − | 0.991422i | −0.996319 | − | 0.0857228i | \(-0.972680\pi\) |
0.423921 | − | 0.905699i | \(-0.360653\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.03087 | + | 10.4458i | −0.237834 | + | 0.411941i | −0.960093 | − | 0.279682i | \(-0.909771\pi\) |
0.722258 | + | 0.691623i | \(0.243104\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.92216 | + | 5.06132i | 0.114971 | + | 0.199135i | ||||
\(647\) | −37.7651 | −1.48470 | −0.742349 | − | 0.670013i | \(-0.766289\pi\) | ||||
−0.742349 | + | 0.670013i | \(0.766289\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.2064 | 0.400637 | ||||||||
\(650\) | −11.7262 | − | 20.3103i | −0.459938 | − | 0.796636i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.03706 | − | 6.99240i | 0.158104 | − | 0.273843i | ||||
\(653\) | 18.7040 | − | 32.3962i | 0.731942 | − | 1.26776i | −0.224109 | − | 0.974564i | \(-0.571947\pi\) |
0.956052 | − | 0.293198i | \(-0.0947194\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.287992 | − | 0.498817i | −0.0112528 | − | 0.0194904i | ||||
\(656\) | 4.11126 | 0.160518 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.9356 | − | 25.8693i | −0.581810 | − | 1.00772i | −0.995265 | − | 0.0971993i | \(-0.969012\pi\) |
0.413455 | − | 0.910524i | \(-0.364322\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.80401 | − | 4.85669i | 0.109063 | − | 0.188904i | −0.806328 | − | 0.591469i | \(-0.798548\pi\) |
0.915391 | + | 0.402566i | \(0.131881\pi\) | |||||||
\(662\) | 2.78366 | − | 4.82144i | 0.108190 | − | 0.187391i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.23855 | − | 3.87728i | −0.0868726 | − | 0.150468i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.7861 | −0.611242 | ||||||||
\(668\) | 9.74288 | + | 16.8752i | 0.376963 | + | 0.652920i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.5080 | + | 30.3247i | −0.676392 | + | 1.17155i | ||||
\(671\) | −4.23414 | + | 7.33375i | −0.163457 | + | 0.283116i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.72253 | − | 8.17966i | −0.182040 | − | 0.315303i | 0.760535 | − | 0.649297i | \(-0.224937\pi\) |
−0.942575 | + | 0.333994i | \(0.891603\pi\) | |||||||
\(674\) | −33.7738 | −1.30092 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.71201 | −0.219693 | ||||||||
\(677\) | −5.53087 | − | 9.57975i | −0.212569 | − | 0.368180i | 0.739949 | − | 0.672663i | \(-0.234850\pi\) |
−0.952518 | + | 0.304483i | \(0.901516\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −12.1643 | + | 21.0693i | −0.466481 | + | 0.807970i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.03018 | − | 8.71253i | −0.192616 | − | 0.333620i | ||||
\(683\) | −8.83922 | −0.338223 | −0.169112 | − | 0.985597i | \(-0.554090\pi\) | ||||
−0.169112 | + | 0.985597i | \(0.554090\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.6218 | 0.482254 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.00618986 | − | 0.0107211i | 0.000235986 | − | 0.000408740i | ||||
\(689\) | −4.33310 | + | 7.50516i | −0.165078 | + | 0.285924i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.5309 | + | 21.7041i | 0.476697 | + | 0.825663i | 0.999643 | − | 0.0267023i | \(-0.00850061\pi\) |
−0.522947 | + | 0.852365i | \(0.675167\pi\) | |||||||
\(692\) | 22.5636 | 0.857740 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −30.4065 | −1.15422 | ||||||||
\(695\) | 24.9920 | + | 43.2873i | 0.947999 | + | 1.64198i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.5178 | − | 23.4135i | 0.512023 | − | 0.886850i | ||||
\(698\) | −6.29782 | + | 10.9082i | −0.238376 | + | 0.412880i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 43.4858 | 1.64243 | 0.821217 | − | 0.570616i | \(-0.193295\pi\) | ||||
0.821217 | + | 0.570616i | \(0.193295\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.46844 | −0.0930989 | ||||||||
\(704\) | −0.738550 | − | 1.27921i | −0.0278351 | − | 0.0482119i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.76578 | + | 6.52252i | −0.141727 | + | 0.245478i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.3702 | + | 19.6937i | 0.427016 | + | 0.739613i | 0.996606 | − | 0.0823158i | \(-0.0262316\pi\) |
−0.569591 | + | 0.821928i | \(0.692898\pi\) | |||||||
\(710\) | −20.2174 | −0.758747 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.87636 | −0.332656 | ||||||||
\(713\) | −21.4134 | − | 37.0891i | −0.801939 | − | 1.38900i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.37636 | − | 12.7762i | 0.275860 | − | 0.477804i | ||||
\(716\) | −0.166896 | + | 0.289073i | −0.00623721 | + | 0.0108032i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.44801 | − | 5.97213i | −0.128679 | − | 0.222878i | ||||
\(719\) | −12.1236 | −0.452136 | −0.226068 | − | 0.974112i | \(-0.572587\pi\) | ||||
−0.226068 | + | 0.974112i | \(0.572587\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.10507 | − | 15.7705i | −0.338856 | − | 0.586915i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.6211 | − | 20.1283i | 0.431895 | − | 0.748063i | ||||
\(725\) | −10.9048 | + | 18.8876i | −0.404993 | + | 0.701468i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.0908 | − | 39.9945i | −0.856392 | − | 1.48331i | −0.875348 | − | 0.483494i | \(-0.839368\pi\) |
0.0189562 | − | 0.999820i | \(-0.493966\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 44.6377 | 1.65212 | ||||||||
\(731\) | −0.0407044 | − | 0.0705021i | −0.00150551 | − | 0.00260761i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.0149 | + | 31.2026i | −0.665394 | + | 1.15250i | 0.313785 | + | 0.949494i | \(0.398403\pi\) |
−0.979178 | + | 0.203002i | \(0.934930\pi\) | |||||||
\(734\) | −11.5618 | + | 20.0257i | −0.426755 | + | 0.739161i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.14400 | − | 5.44556i | −0.115889 | − | 0.200726i | ||||
\(737\) | −13.9803 | −0.514972 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −46.4239 | −1.70773 | −0.853865 | − | 0.520495i | \(-0.825747\pi\) | ||||
−0.853865 | + | 0.520495i | \(0.825747\pi\) | |||||||
\(740\) | −5.13781 | − | 8.89894i | −0.188870 | − | 0.327132i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.598884 | + | 1.03730i | −0.0219709 | + | 0.0380548i | −0.876802 | − | 0.480852i | \(-0.840327\pi\) |
0.854831 | + | 0.518907i | \(0.173661\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.617454 | + | 1.06946i | 0.0226218 | + | 0.0391820i | ||||
\(746\) | −29.1643 | −1.06778 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.71339 | −0.355157 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.0600 | + | 41.6731i | −0.877961 | + | 1.52067i | −0.0243853 | + | 0.999703i | \(0.507763\pi\) |
−0.853575 | + | 0.520970i | \(0.825570\pi\) | |||||||
\(752\) | 3.49381 | − | 6.05146i | 0.127406 | − | 0.220674i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.38874 | − | 5.86946i | −0.123410 | − | 0.213753i | ||||
\(755\) | −73.6588 | −2.68072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 49.6006 | 1.80276 | 0.901382 | − | 0.433025i | \(-0.142554\pi\) | ||||
0.901382 | + | 0.433025i | \(0.142554\pi\) | |||||||
\(758\) | −6.78111 | − | 11.7452i | −0.246301 | − | 0.426606i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.64400 | + | 2.84748i | −0.0596340 | + | 0.103289i | ||||
\(761\) | 18.7701 | − | 32.5108i | 0.680416 | − | 1.17852i | −0.294438 | − | 0.955671i | \(-0.595132\pi\) |
0.974854 | − | 0.222845i | \(-0.0715342\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.3214 | 0.590488 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.83565 | 0.102456 | ||||||||
\(767\) | 9.32691 | + | 16.1547i | 0.336775 | + | 0.583312i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.4592 | − | 23.3121i | 0.485352 | − | 0.840654i | −0.514506 | − | 0.857486i | \(-0.672025\pi\) |
0.999858 | + | 0.0168324i | \(0.00535818\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.16071 | + | 12.4027i | 0.257719 | + | 0.446383i | ||||
\(773\) | −50.2261 | −1.80651 | −0.903254 | − | 0.429107i | \(-0.858828\pi\) | ||||
−0.903254 | + | 0.429107i | \(0.858828\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −59.1679 | −2.12537 | ||||||||
\(776\) | −6.58836 | − | 11.4114i | −0.236508 | − | 0.409645i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.30401 | − | 16.1150i | 0.333565 | − | 0.577752i | ||||
\(779\) | 1.82691 | − | 3.16431i | 0.0654560 | − | 0.113373i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.03597 | − | 6.99050i | −0.144418 | − | 0.250140i | ||||
\(782\) | −41.3497 | −1.47866 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.8800 | − | 22.3088i | −0.459707 | − | 0.796236i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.829462 | + | 1.43667i | −0.0295671 | + | 0.0512118i | −0.880430 | − | 0.474176i | \(-0.842746\pi\) |
0.850863 | + | 0.525387i | \(0.176080\pi\) | |||||||
\(788\) | 1.21201 | − | 2.09926i | 0.0431760 | − | 0.0747830i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.1847 | + | 36.6930i | 0.753718 | + | 1.30548i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.4771 | −0.549608 | ||||||||
\(794\) | −10.2880 | − | 17.8193i | −0.365107 | − | 0.632384i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.05563 | − | 5.29251i | 0.108304 | − | 0.187588i | ||||
\(797\) | −15.3702 | + | 26.6219i | −0.544439 | + | 0.942996i | 0.454203 | + | 0.890898i | \(0.349924\pi\) |
−0.998642 | + | 0.0520981i | \(0.983409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −22.9752 | − | 39.7943i | −0.812806 | − | 1.40782i | ||||
\(800\) | −8.68725 | −0.307141 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.75409 | −0.238495 | ||||||||
\(803\) | 8.91095 | + | 15.4342i | 0.314461 | + | 0.544662i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 9.19344 | − | 15.9235i | 0.323825 | − | 0.560881i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.62729 | + | 4.55059i | 0.0924276 | + | 0.160089i | ||||
\(809\) | −2.88502 | −0.101432 | −0.0507159 | − | 0.998713i | \(-0.516150\pi\) | ||||
−0.0507159 | + | 0.998713i | \(0.516150\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.5461 | −1.00239 | −0.501195 | − | 0.865334i | \(-0.667106\pi\) | ||||
−0.501195 | + | 0.865334i | \(0.667106\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.05130 | − | 3.55296i | 0.0718981 | − | 0.124531i | ||||
\(815\) | 14.9356 | − | 25.8693i | 0.523172 | − | 0.906161i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.00550115 | − | 0.00952827i | −0.000192461 | − | 0.000333352i | ||||
\(818\) | 15.3214 | 0.535701 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 15.2101 | 0.531161 | ||||||||
\(821\) | 3.98329 | + | 6.89926i | 0.139018 | + | 0.240786i | 0.927125 | − | 0.374752i | \(-0.122272\pi\) |
−0.788107 | + | 0.615538i | \(0.788939\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.2731 | + | 35.1140i | −0.706675 | + | 1.22400i | 0.259409 | + | 0.965768i | \(0.416472\pi\) |
−0.966084 | + | 0.258229i | \(0.916861\pi\) | |||||||
\(824\) | −0.833104 | + | 1.44298i | −0.0290225 | + | 0.0502685i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1.22115 | −0.0424636 | −0.0212318 | − | 0.999775i | \(-0.506759\pi\) | ||||
−0.0212318 | + | 0.999775i | \(0.506759\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.1506 | −0.491470 | −0.245735 | − | 0.969337i | \(-0.579029\pi\) | ||||
−0.245735 | + | 0.969337i | \(0.579029\pi\) | |||||||
\(830\) | −8.28180 | − | 14.3445i | −0.287466 | − | 0.497905i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.34981 | − | 2.33795i | 0.0467964 | − | 0.0810537i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 36.0450 | + | 62.4318i | 1.24739 | + | 2.16054i | ||||
\(836\) | −1.31275 | −0.0454025 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.64283 | −0.298561 | ||||||||
\(839\) | 1.19599 | + | 2.07151i | 0.0412900 | + | 0.0715164i | 0.885932 | − | 0.463815i | \(-0.153520\pi\) |
−0.844642 | + | 0.535332i | \(0.820187\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.3486 | − | 19.6564i | 0.391333 | − | 0.677808i | ||||
\(842\) | −18.5636 | + | 32.1531i | −0.639744 | + | 1.10807i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.72253 | + | 9.91171i | 0.196978 | + | 0.341175i | ||||
\(845\) | −21.1323 | −0.726973 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.60507 | + | 2.78007i | 0.0551185 | + | 0.0954680i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −28.5636 | + | 49.4736i | −0.979724 | + | 1.69693i | ||||
\(851\) | 8.73236 | − | 15.1249i | 0.299341 | − | 0.518475i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.33998 | + | 14.4453i | 0.285556 | + | 0.494597i | 0.972744 | − | 0.231883i | \(-0.0744886\pi\) |
−0.687188 | + | 0.726479i | \(0.741155\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.7651 | 0.367943 | ||||||||
\(857\) | 6.92580 | + | 11.9958i | 0.236581 | + | 0.409770i | 0.959731 | − | 0.280921i | \(-0.0906399\pi\) |
−0.723150 | + | 0.690691i | \(0.757307\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.2472 | − | 41.9974i | 0.827304 | − | 1.43293i | −0.0728414 | − | 0.997344i | \(-0.523207\pi\) |
0.900146 | − | 0.435589i | \(-0.143460\pi\) | |||||||
\(860\) | 0.0229002 | − | 0.0396643i | 0.000780889 | − | 0.00135254i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.71015 | − | 8.15822i | −0.160428 | − | 0.277870i | ||||
\(863\) | 5.93082 | 0.201887 | 0.100944 | − | 0.994892i | \(-0.467814\pi\) | ||||
0.100944 | + | 0.994892i | \(0.467814\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 83.4769 | 2.83830 | ||||||||
\(866\) | 0.104386 | + | 0.180801i | 0.00354717 | + | 0.00614387i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.45813 | + | 14.6499i | −0.286922 | + | 0.496964i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.7756 | − | 22.1280i | −0.432885 | − | 0.749779i | ||||
\(872\) | −0.189108 | −0.00640399 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −5.58836 | −0.189029 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.96472 | + | 3.40300i | −0.0663439 | + | 0.114911i | −0.897289 | − | 0.441443i | \(-0.854467\pi\) |
0.830945 | + | 0.556354i | \(0.187800\pi\) | |||||||
\(878\) | 4.98398 | − | 8.63250i | 0.168201 | − | 0.291333i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.73236 | − | 4.73259i | −0.0921078 | − | 0.159535i | ||||
\(881\) | 37.6552 | 1.26864 | 0.634318 | − | 0.773072i | \(-0.281281\pi\) | ||||
0.634318 | + | 0.773072i | \(0.281281\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −53.2334 | −1.79145 | −0.895723 | − | 0.444613i | \(-0.853341\pi\) | ||||
−0.895723 | + | 0.444613i | \(0.853341\pi\) | |||||||
\(884\) | −8.87636 | − | 15.3743i | −0.298544 | − | 0.517094i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.84981 | − | 13.5963i | 0.263720 | − | 0.456776i | ||||
\(887\) | 18.4938 | − | 32.0322i | 0.620961 | − | 1.07554i | −0.368346 | − | 0.929689i | \(-0.620076\pi\) |
0.989307 | − | 0.145848i | \(-0.0465910\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −32.8392 | −1.10077 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.22253 | −0.241828 | ||||||||
\(893\) | −3.10507 | − | 5.37815i | −0.103907 | − | 0.179973i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.617454 | + | 1.06946i | −0.0206392 | + | 0.0357482i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.8127 | − | 29.1204i | −0.561046 | − | 0.971761i | ||||
\(899\) | −17.0989 | −0.570280 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.1099 | 0.703272 | ||||||||
\(902\) | 3.03637 | + | 5.25915i | 0.101100 | + | 0.175111i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.78180 | + | 11.7464i | −0.225559 | + | 0.390680i | ||||
\(905\) | 42.9937 | − | 74.4673i | 1.42916 | − | 2.47538i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.5080 | + | 33.7888i | 0.647752 | + | 1.12194i | 0.983659 | + | 0.180044i | \(0.0576239\pi\) |
−0.335907 | + | 0.941895i | \(0.609043\pi\) | |||||||
\(908\) | 13.6552 | 0.453164 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.8090 | + | 22.1859i | 0.424382 | + | 0.735052i | 0.996363 | − | 0.0852158i | \(-0.0271580\pi\) |
−0.571980 | + | 0.820267i | \(0.693825\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.30656 | − | 5.72713i | 0.109431 | − | 0.189540i | ||||
\(914\) | 16.3541 | − | 28.3262i | 0.540947 | − | 0.936948i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.68725 | + | 15.0468i | 0.287035 | + | 0.497159i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.6735 | −0.681956 | −0.340978 | − | 0.940071i | \(-0.610758\pi\) | ||||
−0.340978 | + | 0.940071i | \(0.610758\pi\) | |||||||
\(920\) | −11.6316 | − | 20.1466i | −0.383483 | − | 0.664212i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.07165 | − | 3.58821i | 0.0682263 | − | 0.118171i | ||||
\(923\) | 7.37636 | − | 12.7762i | 0.242796 | − | 0.420535i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.0643 | − | 20.8960i | −0.396672 | − | 0.687055i | ||||
\(926\) | −16.6835 | −0.548255 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.51052 | −0.0824119 | ||||||||
\(929\) | 1.87017 | + | 3.23922i | 0.0613582 | + | 0.106275i | 0.895073 | − | 0.445920i | \(-0.147123\pi\) |
−0.833715 | + | 0.552196i | \(0.813790\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −7.62110 | + | 13.2001i | −0.249637 | + | 0.432384i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −14.9585 | − | 25.9089i | −0.489458 | − | 0.847766i | ||||
\(935\) | −35.9359 | −1.17523 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.1345 | 0.886445 | 0.443223 | − | 0.896412i | \(-0.353835\pi\) | ||||
0.443223 | + | 0.896412i | \(0.353835\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.9258 | − | 22.3881i | 0.421593 | − | 0.730221i | ||||
\(941\) | −3.16435 | + | 5.48081i | −0.103155 | + | 0.178669i | −0.912983 | − | 0.407998i | \(-0.866227\pi\) |
0.809828 | + | 0.586667i | \(0.199560\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.9258 | + | 22.3881i | 0.420922 | + | 0.729058i | ||||
\(944\) | 6.90978 | 0.224894 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0182861 | 0.000594531 | ||||||||
\(947\) | 15.6396 | + | 27.0886i | 0.508218 | + | 0.880260i | 0.999955 | + | 0.00951587i | \(0.00302904\pi\) |
−0.491736 | + | 0.870744i | \(0.663638\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.2861 | + | 28.2084i | −0.528670 | + | 0.915684i | ||||
\(950\) | −3.86033 | + | 6.68630i | −0.125246 | + | 0.216932i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.28937 | −0.138946 | −0.0694732 | − | 0.997584i | \(-0.522132\pi\) | ||||
−0.0694732 | + | 0.997584i | \(0.522132\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 60.3832 | 1.95395 | ||||||||
\(956\) | −9.47524 | − | 16.4116i | −0.306451 | − | 0.530789i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.47965 | + | 2.56283i | −0.0478053 | + | 0.0828011i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.69413 | − | 13.3266i | −0.248198 | − | 0.429891i | ||||
\(962\) | 7.49814 | 0.241750 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 24.5054 | 0.789267 | ||||||||
\(965\) | 26.4920 | + | 45.8854i | 0.852806 | + | 1.47710i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.59201 | + | 13.1497i | −0.244142 | + | 0.422867i | −0.961890 | − | 0.273436i | \(-0.911840\pi\) |
0.717748 | + | 0.696303i | \(0.245173\pi\) | |||||||
\(968\) | −4.40909 | + | 7.63676i | −0.141713 | + | 0.245455i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −24.3745 | − | 42.2179i | −0.782618 | − | 1.35553i | ||||
\(971\) | −3.24729 | −0.104210 | −0.0521052 | − | 0.998642i | \(-0.516593\pi\) | ||||
−0.0521052 | + | 0.998642i | \(0.516593\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 14.0309 | + | 24.3022i | 0.449578 | + | 0.778692i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.86652 | + | 4.96497i | −0.0917552 | + | 0.158925i | ||||
\(977\) | 7.77197 | − | 13.4614i | 0.248647 | − | 0.430670i | −0.714503 | − | 0.699632i | \(-0.753347\pi\) |
0.963151 | + | 0.268962i | \(0.0866806\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.55563 | − | 11.3547i | −0.209519 | − | 0.362897i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −34.1469 | −1.08967 | ||||||||
\(983\) | −6.19158 | − | 10.7241i | −0.197481 | − | 0.342047i | 0.750230 | − | 0.661177i | \(-0.229943\pi\) |
−0.947711 | + | 0.319130i | \(0.896609\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.48398 | − | 7.76648i | 0.142871 | − | 0.247461i | ||||
\(986\) | −8.25457 | + | 14.2973i | −0.262879 | + | 0.455320i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.19963 | − | 2.07782i | −0.0381653 | − | 0.0661042i | ||||
\(989\) | 0.0778435 | 0.00247528 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.65521 | 0.211410 | 0.105705 | − | 0.994398i | \(-0.466290\pi\) | ||||
0.105705 | + | 0.994398i | \(0.466290\pi\) | |||||||
\(992\) | −3.40545 | − | 5.89841i | −0.108123 | − | 0.187275i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.3047 | − | 19.5803i | 0.358383 | − | 0.620738i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.40104 | + | 4.15872i | 0.0760417 | + | 0.131708i | 0.901539 | − | 0.432698i | \(-0.142438\pi\) |
−0.825497 | + | 0.564406i | \(0.809105\pi\) | |||||||
\(998\) | 2.28071 | 0.0721946 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))