Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(17,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.k (of order \(6\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.4 | ||
Root | \(0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.89 |
Dual form | 126.2.k.a.17.4 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 2.09077 | − | 3.62132i | 0.935021 | − | 1.61950i | 0.160424 | − | 0.987048i | \(-0.448714\pi\) |
0.774597 | − | 0.632456i | \(-0.217953\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.62132 | + | 2.09077i | −0.612801 | + | 0.790237i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.62132 | − | 2.09077i | 1.14516 | − | 0.661160i | ||||
\(11\) | −2.59808 | + | 1.50000i | −0.783349 | + | 0.452267i | −0.837616 | − | 0.546259i | \(-0.816051\pi\) |
0.0542666 | + | 0.998526i | \(0.482718\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.44949i | 0.679366i | 0.940540 | + | 0.339683i | \(0.110320\pi\) | ||||
−0.940540 | + | 0.339683i | \(0.889680\pi\) | |||||||
\(14\) | −2.44949 | + | 1.00000i | −0.654654 | + | 0.267261i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.507306 | − | 0.878680i | −0.123040 | − | 0.213111i | 0.797925 | − | 0.602756i | \(-0.205931\pi\) |
−0.920965 | + | 0.389645i | \(0.872598\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.878680 | − | 0.507306i | −0.201583 | − | 0.116384i | 0.395811 | − | 0.918332i | \(-0.370464\pi\) |
−0.597394 | + | 0.801948i | \(0.703797\pi\) | |||||||
\(20\) | 4.18154 | 0.935021 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.00000 | −0.639602 | ||||||||
\(23\) | −3.67423 | − | 2.12132i | −0.766131 | − | 0.442326i | 0.0653618 | − | 0.997862i | \(-0.479180\pi\) |
−0.831493 | + | 0.555536i | \(0.812513\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.24264 | − | 10.8126i | −1.24853 | − | 2.16251i | ||||
\(26\) | −1.22474 | + | 2.12132i | −0.240192 | + | 0.416025i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.62132 | − | 0.358719i | −0.495383 | − | 0.0677916i | ||||
\(29\) | 1.24264i | 0.230753i | 0.993322 | + | 0.115376i | \(0.0368074\pi\) | ||||
−0.993322 | + | 0.115376i | \(0.963193\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.86396 | − | 2.80821i | 0.873593 | − | 0.504369i | 0.00505256 | − | 0.999987i | \(-0.498392\pi\) |
0.868541 | + | 0.495618i | \(0.165058\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 1.01461i | − | 0.174005i | ||||||
\(35\) | 4.18154 | + | 10.2426i | 0.706809 | + | 1.73132i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.12132 | + | 7.13834i | −0.677541 | + | 1.17354i | 0.298178 | + | 0.954510i | \(0.403621\pi\) |
−0.975719 | + | 0.219025i | \(0.929712\pi\) | |||||||
\(38\) | −0.507306 | − | 0.878680i | −0.0822959 | − | 0.142541i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.62132 | + | 2.09077i | 0.572581 | + | 0.330580i | ||||
\(41\) | 2.02922 | 0.316912 | 0.158456 | − | 0.987366i | \(-0.449348\pi\) | ||||
0.158456 | + | 0.987366i | \(0.449348\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.24264 | 1.25699 | 0.628495 | − | 0.777813i | \(-0.283671\pi\) | ||||
0.628495 | + | 0.777813i | \(0.283671\pi\) | |||||||
\(44\) | −2.59808 | − | 1.50000i | −0.391675 | − | 0.226134i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.12132 | − | 3.67423i | −0.312772 | − | 0.541736i | ||||
\(47\) | −0.507306 | + | 0.878680i | −0.0739982 | + | 0.128169i | −0.900650 | − | 0.434545i | \(-0.856909\pi\) |
0.826652 | + | 0.562713i | \(0.190243\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.74264 | − | 6.77962i | −0.248949 | − | 0.968517i | ||||
\(50\) | − | 12.4853i | − | 1.76569i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.12132 | + | 1.22474i | −0.294174 | + | 0.169842i | ||||
\(53\) | 1.07616 | − | 0.621320i | 0.147822 | − | 0.0853449i | −0.424265 | − | 0.905538i | \(-0.639467\pi\) |
0.572087 | + | 0.820193i | \(0.306134\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.5446i | 1.69152i | ||||||||
\(56\) | −2.09077 | − | 1.62132i | −0.279391 | − | 0.216658i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.621320 | + | 1.07616i | −0.0815834 | + | 0.141307i | ||||
\(59\) | −5.76500 | − | 9.98528i | −0.750540 | − | 1.29997i | −0.947561 | − | 0.319574i | \(-0.896460\pi\) |
0.197022 | − | 0.980399i | \(-0.436873\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.12132 | + | 2.95680i | 0.655718 | + | 0.378579i | 0.790643 | − | 0.612277i | \(-0.209746\pi\) |
−0.134926 | + | 0.990856i | \(0.543080\pi\) | |||||||
\(62\) | 5.61642 | 0.713286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 8.87039 | + | 5.12132i | 1.10024 | + | 0.635222i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | + | 8.66025i | 0.610847 | + | 1.05802i | 0.991098 | + | 0.133135i | \(0.0425044\pi\) |
−0.380251 | + | 0.924883i | \(0.624162\pi\) | |||||||
\(68\) | 0.507306 | − | 0.878680i | 0.0615199 | − | 0.106556i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.50000 | + | 10.9612i | −0.179284 | + | 1.31011i | ||||
\(71\) | 10.2426i | 1.21558i | 0.794099 | + | 0.607789i | \(0.207943\pi\) | ||||
−0.794099 | + | 0.607789i | \(0.792057\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.24264 | − | 4.18154i | 0.847687 | − | 0.489412i | −0.0121828 | − | 0.999926i | \(-0.503878\pi\) |
0.859870 | + | 0.510513i | \(0.170545\pi\) | |||||||
\(74\) | −7.13834 | + | 4.12132i | −0.829815 | + | 0.479094i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 1.01461i | − | 0.116384i | ||||||
\(77\) | 1.07616 | − | 7.86396i | 0.122640 | − | 0.896182i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.62132 | − | 9.73641i | 0.632448 | − | 1.09543i | −0.354602 | − | 0.935017i | \(-0.615384\pi\) |
0.987050 | − | 0.160415i | \(-0.0512831\pi\) | |||||||
\(80\) | 2.09077 | + | 3.62132i | 0.233755 | + | 0.404876i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.75736 | + | 1.01461i | 0.194068 | + | 0.112045i | ||||
\(83\) | −3.16693 | −0.347616 | −0.173808 | − | 0.984780i | \(-0.555607\pi\) | ||||
−0.173808 | + | 0.984780i | \(0.555607\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.24264 | −0.460179 | ||||||||
\(86\) | 7.13834 | + | 4.12132i | 0.769747 | + | 0.444413i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.50000 | − | 2.59808i | −0.159901 | − | 0.276956i | ||||
\(89\) | 5.19615 | − | 9.00000i | 0.550791 | − | 0.953998i | −0.447427 | − | 0.894321i | \(-0.647659\pi\) |
0.998218 | − | 0.0596775i | \(-0.0190072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.12132 | − | 3.97141i | −0.536860 | − | 0.416317i | ||||
\(92\) | − | 4.24264i | − | 0.442326i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.878680 | + | 0.507306i | −0.0906289 | + | 0.0523246i | ||||
\(95\) | −3.67423 | + | 2.12132i | −0.376969 | + | 0.217643i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.76127i | 0.381900i | 0.981600 | + | 0.190950i | \(0.0611568\pi\) | ||||
−0.981600 | + | 0.190950i | \(0.938843\pi\) | |||||||
\(98\) | 1.88064 | − | 6.74264i | 0.189973 | − | 0.681110i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.24264 | − | 10.8126i | 0.624264 | − | 1.08126i | ||||
\(101\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.2426 | − | 7.64564i | −1.30484 | − | 0.753348i | −0.323607 | − | 0.946192i | \(-0.604895\pi\) |
−0.981229 | + | 0.192844i | \(0.938229\pi\) | |||||||
\(104\) | −2.44949 | −0.240192 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.24264 | 0.120696 | ||||||||
\(107\) | 4.75039 | + | 2.74264i | 0.459238 | + | 0.265141i | 0.711724 | − | 0.702459i | \(-0.247915\pi\) |
−0.252486 | + | 0.967601i | \(0.581248\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.757359 | − | 1.31178i | −0.0725419 | − | 0.125646i | 0.827473 | − | 0.561506i | \(-0.189778\pi\) |
−0.900015 | + | 0.435860i | \(0.856444\pi\) | |||||||
\(110\) | −6.27231 | + | 10.8640i | −0.598041 | + | 1.03584i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.00000 | − | 2.44949i | −0.0944911 | − | 0.231455i | ||||
\(113\) | 8.48528i | 0.798228i | 0.916901 | + | 0.399114i | \(0.130682\pi\) | ||||
−0.916901 | + | 0.399114i | \(0.869318\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.3640 | + | 8.87039i | −1.43270 | + | 0.827168i | ||||
\(116\) | −1.07616 | + | 0.621320i | −0.0999188 | + | 0.0576881i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 11.5300i | − | 1.06142i | ||||||
\(119\) | 2.65962 | + | 0.363961i | 0.243807 | + | 0.0333643i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.00000 | + | 1.73205i | −0.0909091 | + | 0.157459i | ||||
\(122\) | 2.95680 | + | 5.12132i | 0.267696 | + | 0.463663i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.86396 | + | 2.80821i | 0.436797 | + | 0.252185i | ||||
\(125\) | −31.3000 | −2.79956 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.24264 | −0.465209 | −0.232605 | − | 0.972571i | \(-0.574725\pi\) | ||||
−0.232605 | + | 0.972571i | \(0.574725\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.12132 | + | 8.87039i | 0.449170 | + | 0.777984i | ||||
\(131\) | −2.59808 | + | 4.50000i | −0.226995 | + | 0.393167i | −0.956916 | − | 0.290365i | \(-0.906223\pi\) |
0.729921 | + | 0.683531i | \(0.239557\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.48528 | − | 1.01461i | 0.215501 | − | 0.0879780i | ||||
\(134\) | 10.0000i | 0.863868i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.878680 | − | 0.507306i | 0.0753462 | − | 0.0435011i | ||||
\(137\) | 12.5446 | − | 7.24264i | 1.07176 | − | 0.618781i | 0.143098 | − | 0.989709i | \(-0.454294\pi\) |
0.928662 | + | 0.370928i | \(0.120960\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 20.1903i | − | 1.71252i | −0.516549 | − | 0.856258i | \(-0.672783\pi\) | ||
0.516549 | − | 0.856258i | \(-0.327217\pi\) | |||||||
\(140\) | −6.77962 | + | 8.74264i | −0.572982 | + | 0.738888i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.12132 | + | 8.87039i | −0.429772 | + | 0.744386i | ||||
\(143\) | −3.67423 | − | 6.36396i | −0.307255 | − | 0.532181i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.50000 | + | 2.59808i | 0.373705 | + | 0.215758i | ||||
\(146\) | 8.36308 | 0.692134 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.24264 | −0.677541 | ||||||||
\(149\) | −17.7408 | − | 10.2426i | −1.45338 | − | 0.839110i | −0.454709 | − | 0.890640i | \(-0.650257\pi\) |
−0.998671 | + | 0.0515300i | \(0.983590\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.62132 | + | 2.80821i | 0.131941 | + | 0.228529i | 0.924425 | − | 0.381364i | \(-0.124546\pi\) |
−0.792484 | + | 0.609893i | \(0.791212\pi\) | |||||||
\(152\) | 0.507306 | − | 0.878680i | 0.0411479 | − | 0.0712703i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.86396 | − | 6.27231i | 0.391949 | − | 0.505437i | ||||
\(155\) | − | 23.4853i | − | 1.88638i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.7279 | + | 7.34847i | −1.01580 | + | 0.586472i | −0.912884 | − | 0.408219i | \(-0.866150\pi\) |
−0.102915 | + | 0.994690i | \(0.532817\pi\) | |||||||
\(158\) | 9.73641 | − | 5.62132i | 0.774587 | − | 0.447208i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.18154i | 0.330580i | ||||||||
\(161\) | 10.3923 | − | 4.24264i | 0.819028 | − | 0.334367i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.12132 | + | 5.40629i | −0.244481 | + | 0.423453i | −0.961985 | − | 0.273101i | \(-0.911951\pi\) |
0.717505 | + | 0.696554i | \(0.245284\pi\) | |||||||
\(164\) | 1.01461 | + | 1.75736i | 0.0792279 | + | 0.137227i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.74264 | − | 1.58346i | −0.212870 | − | 0.122901i | ||||
\(167\) | 23.0600 | 1.78444 | 0.892219 | − | 0.451603i | \(-0.149148\pi\) | ||||
0.892219 | + | 0.451603i | \(0.149148\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.00000 | 0.538462 | ||||||||
\(170\) | −3.67423 | − | 2.12132i | −0.281801 | − | 0.162698i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.12132 | + | 7.13834i | 0.314248 | + | 0.544293i | ||||
\(173\) | −10.3923 | + | 18.0000i | −0.790112 | + | 1.36851i | 0.135785 | + | 0.990738i | \(0.456644\pi\) |
−0.925897 | + | 0.377776i | \(0.876689\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 32.7279 | + | 4.47871i | 2.47400 | + | 0.338559i | ||||
\(176\) | − | 3.00000i | − | 0.226134i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.00000 | − | 5.19615i | 0.674579 | − | 0.389468i | ||||
\(179\) | 8.23999 | − | 4.75736i | 0.615886 | − | 0.355582i | −0.159380 | − | 0.987217i | \(-0.550949\pi\) |
0.775265 | + | 0.631636i | \(0.217616\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.02922i | 0.150831i | 0.997152 | + | 0.0754155i | \(0.0240283\pi\) | ||||
−0.997152 | + | 0.0754155i | \(0.975972\pi\) | |||||||
\(182\) | −2.44949 | − | 6.00000i | −0.181568 | − | 0.444750i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.12132 | − | 3.67423i | 0.156386 | − | 0.270868i | ||||
\(185\) | 17.2335 | + | 29.8492i | 1.26703 | + | 2.19456i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.63604 | + | 1.52192i | 0.192766 | + | 0.111294i | ||||
\(188\) | −1.01461 | −0.0739982 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.24264 | −0.307794 | ||||||||
\(191\) | −7.34847 | − | 4.24264i | −0.531717 | − | 0.306987i | 0.209999 | − | 0.977702i | \(-0.432654\pi\) |
−0.741715 | + | 0.670715i | \(0.765987\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.74264 | + | 6.48244i | 0.269401 | + | 0.466617i | 0.968707 | − | 0.248206i | \(-0.0798409\pi\) |
−0.699306 | + | 0.714822i | \(0.746508\pi\) | |||||||
\(194\) | −1.88064 | + | 3.25736i | −0.135022 | + | 0.233865i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.00000 | − | 4.89898i | 0.357143 | − | 0.349927i | ||||
\(197\) | 9.51472i | 0.677896i | 0.940805 | + | 0.338948i | \(0.110071\pi\) | ||||
−0.940805 | + | 0.338948i | \(0.889929\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.9706 | + | 8.06591i | −0.990347 | + | 0.571777i | −0.905378 | − | 0.424607i | \(-0.860412\pi\) |
−0.0849690 | + | 0.996384i | \(0.527079\pi\) | |||||||
\(200\) | 10.8126 | − | 6.24264i | 0.764564 | − | 0.441421i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.59808 | − | 2.01472i | −0.182349 | − | 0.141406i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.24264 | − | 7.34847i | 0.296319 | − | 0.513239i | ||||
\(206\) | −7.64564 | − | 13.2426i | −0.532697 | − | 0.922658i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.12132 | − | 1.22474i | −0.147087 | − | 0.0849208i | ||||
\(209\) | 3.04384 | 0.210547 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.24264 | 0.567447 | 0.283723 | − | 0.958906i | \(-0.408430\pi\) | ||||
0.283723 | + | 0.958906i | \(0.408430\pi\) | |||||||
\(212\) | 1.07616 | + | 0.621320i | 0.0739109 | + | 0.0426725i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.74264 | + | 4.75039i | 0.187483 | + | 0.324730i | ||||
\(215\) | 17.2335 | − | 29.8492i | 1.17531 | − | 2.03570i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.01472 | + | 14.7224i | −0.136768 | + | 0.999424i | ||||
\(218\) | − | 1.51472i | − | 0.102590i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.8640 | + | 6.27231i | −0.732448 | + | 0.422879i | ||||
\(221\) | 2.15232 | − | 1.24264i | 0.144780 | − | 0.0835891i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 12.5446i | − | 0.840050i | −0.907513 | − | 0.420025i | \(-0.862021\pi\) | ||
0.907513 | − | 0.420025i | \(-0.137979\pi\) | |||||||
\(224\) | 0.358719 | − | 2.62132i | 0.0239680 | − | 0.175144i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.24264 | + | 7.34847i | −0.282216 | + | 0.488813i | ||||
\(227\) | 7.79423 | + | 13.5000i | 0.517321 | + | 0.896026i | 0.999798 | + | 0.0201176i | \(0.00640405\pi\) |
−0.482476 | + | 0.875909i | \(0.660263\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.0000 | − | 6.92820i | −0.792982 | − | 0.457829i | 0.0480291 | − | 0.998846i | \(-0.484706\pi\) |
−0.841011 | + | 0.541017i | \(0.818039\pi\) | |||||||
\(230\) | −17.7408 | −1.16979 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.24264 | −0.0815834 | ||||||||
\(233\) | −5.82655 | − | 3.36396i | −0.381710 | − | 0.220380i | 0.296852 | − | 0.954924i | \(-0.404063\pi\) |
−0.678562 | + | 0.734543i | \(0.737397\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.12132 | + | 3.67423i | 0.138380 | + | 0.239681i | ||||
\(236\) | 5.76500 | − | 9.98528i | 0.375270 | − | 0.649986i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.12132 | + | 1.64501i | 0.137505 | + | 0.106630i | ||||
\(239\) | 12.7279i | 0.823301i | 0.911342 | + | 0.411650i | \(0.135048\pi\) | ||||
−0.911342 | + | 0.411650i | \(0.864952\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.7426 | − | 8.51167i | 0.949657 | − | 0.548285i | 0.0566826 | − | 0.998392i | \(-0.481948\pi\) |
0.892974 | + | 0.450108i | \(0.148614\pi\) | |||||||
\(242\) | −1.73205 | + | 1.00000i | −0.111340 | + | 0.0642824i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.91359i | 0.378579i | ||||||||
\(245\) | −28.1946 | − | 7.86396i | −1.80129 | − | 0.502410i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.24264 | − | 2.15232i | 0.0790673 | − | 0.136949i | ||||
\(248\) | 2.80821 | + | 4.86396i | 0.178321 | + | 0.308862i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −27.1066 | − | 15.6500i | −1.71437 | − | 0.989793i | ||||
\(251\) | −17.6177 | −1.11202 | −0.556009 | − | 0.831176i | \(-0.687668\pi\) | ||||
−0.556009 | + | 0.831176i | \(0.687668\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.7279 | 0.800198 | ||||||||
\(254\) | −4.54026 | − | 2.62132i | −0.284881 | − | 0.164476i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −12.5446 | + | 21.7279i | −0.782512 | + | 1.35535i | 0.147962 | + | 0.988993i | \(0.452729\pi\) |
−0.930474 | + | 0.366358i | \(0.880605\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.24264 | − | 20.1903i | −0.512173 | − | 1.25456i | ||||
\(260\) | 10.2426i | 0.635222i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.50000 | + | 2.59808i | −0.278011 | + | 0.160510i | ||||
\(263\) | −23.5673 | + | 13.6066i | −1.45322 | + | 0.839019i | −0.998663 | − | 0.0516967i | \(-0.983537\pi\) |
−0.454561 | + | 0.890716i | \(0.650204\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 5.19615i | − | 0.319197i | ||||||
\(266\) | 2.65962 | + | 0.363961i | 0.163072 | + | 0.0223159i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.00000 | + | 8.66025i | −0.305424 | + | 0.529009i | ||||
\(269\) | 5.25770 | + | 9.10660i | 0.320568 | + | 0.555239i | 0.980605 | − | 0.195993i | \(-0.0627930\pi\) |
−0.660038 | + | 0.751232i | \(0.729460\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.62132 | − | 5.55487i | −0.584454 | − | 0.337434i | 0.178448 | − | 0.983949i | \(-0.442892\pi\) |
−0.762901 | + | 0.646515i | \(0.776226\pi\) | |||||||
\(272\) | 1.01461 | 0.0615199 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.4853 | 0.875088 | ||||||||
\(275\) | 32.4377 | + | 18.7279i | 1.95607 | + | 1.12934i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 10.4853 | + | 18.1610i | 0.630000 | + | 1.09119i | 0.987551 | + | 0.157298i | \(0.0502783\pi\) |
−0.357552 | + | 0.933893i | \(0.616388\pi\) | |||||||
\(278\) | 10.0951 | − | 17.4853i | 0.605466 | − | 1.04870i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −10.2426 | + | 4.18154i | −0.612115 | + | 0.249895i | ||||
\(281\) | − | 6.00000i | − | 0.357930i | −0.983855 | − | 0.178965i | \(-0.942725\pi\) | ||
0.983855 | − | 0.178965i | \(-0.0572749\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.63604 | + | 3.25397i | −0.335028 | + | 0.193428i | −0.658071 | − | 0.752956i | \(-0.728627\pi\) |
0.323043 | + | 0.946384i | \(0.395294\pi\) | |||||||
\(284\) | −8.87039 | + | 5.12132i | −0.526361 | + | 0.303894i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 7.34847i | − | 0.434524i | ||||||
\(287\) | −3.29002 | + | 4.24264i | −0.194204 | + | 0.250435i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.98528 | − | 13.8309i | 0.469722 | − | 0.813583i | ||||
\(290\) | 2.59808 | + | 4.50000i | 0.152564 | + | 0.264249i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.24264 | + | 4.18154i | 0.423843 | + | 0.244706i | ||||
\(293\) | 4.18154 | 0.244288 | 0.122144 | − | 0.992512i | \(-0.461023\pi\) | ||||
0.122144 | + | 0.992512i | \(0.461023\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −48.2132 | −2.80708 | ||||||||
\(296\) | −7.13834 | − | 4.12132i | −0.414907 | − | 0.239547i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.2426 | − | 17.7408i | −0.593340 | − | 1.02770i | ||||
\(299\) | 5.19615 | − | 9.00000i | 0.300501 | − | 0.520483i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.3640 | + | 17.2335i | −0.770286 | + | 0.993321i | ||||
\(302\) | 3.24264i | 0.186593i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.878680 | − | 0.507306i | 0.0503957 | − | 0.0290960i | ||||
\(305\) | 21.4150 | − | 12.3640i | 1.22622 | − | 0.707958i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 24.6690i | − | 1.40793i | −0.710233 | − | 0.703966i | \(-0.751411\pi\) | ||
0.710233 | − | 0.703966i | \(-0.248589\pi\) | |||||||
\(308\) | 7.34847 | − | 3.00000i | 0.418718 | − | 0.170941i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 11.7426 | − | 20.3389i | 0.666937 | − | 1.15517i | ||||
\(311\) | −9.37769 | − | 16.2426i | −0.531760 | − | 0.921036i | −0.999313 | − | 0.0370703i | \(-0.988197\pi\) |
0.467552 | − | 0.883965i | \(-0.345136\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.985281 | − | 0.568852i | −0.0556914 | − | 0.0321534i | 0.471896 | − | 0.881654i | \(-0.343570\pi\) |
−0.527587 | + | 0.849501i | \(0.676903\pi\) | |||||||
\(314\) | −14.6969 | −0.829396 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.2426 | 0.632448 | ||||||||
\(317\) | −6.27231 | − | 3.62132i | −0.352288 | − | 0.203394i | 0.313404 | − | 0.949620i | \(-0.398530\pi\) |
−0.665693 | + | 0.746226i | \(0.731864\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.86396 | − | 3.22848i | −0.104362 | − | 0.180760i | ||||
\(320\) | −2.09077 | + | 3.62132i | −0.116878 | + | 0.202438i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.1213 | + | 1.52192i | 0.619767 | + | 0.0848132i | ||||
\(323\) | 1.02944i | 0.0572794i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 26.4853 | − | 15.2913i | 1.46914 | − | 0.848208i | ||||
\(326\) | −5.40629 | + | 3.12132i | −0.299426 | + | 0.172874i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.02922i | 0.112045i | ||||||||
\(329\) | −1.01461 | − | 2.48528i | −0.0559374 | − | 0.137018i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.72792 | + | 15.1172i | −0.479730 | + | 0.830917i | −0.999730 | − | 0.0232497i | \(-0.992599\pi\) |
0.520000 | + | 0.854166i | \(0.325932\pi\) | |||||||
\(332\) | −1.58346 | − | 2.74264i | −0.0869039 | − | 0.150522i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 19.9706 | + | 11.5300i | 1.09274 | + | 0.630894i | ||||
\(335\) | 41.8154 | 2.28462 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.00000 | −0.272367 | −0.136184 | − | 0.990684i | \(-0.543484\pi\) | ||||
−0.136184 | + | 0.990684i | \(0.543484\pi\) | |||||||
\(338\) | 6.06218 | + | 3.50000i | 0.329739 | + | 0.190375i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.12132 | − | 3.67423i | −0.115045 | − | 0.199263i | ||||
\(341\) | −8.42463 | + | 14.5919i | −0.456219 | + | 0.790195i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | 8.24264i | 0.444413i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.0000 | + | 10.3923i | −0.967686 | + | 0.558694i | ||||
\(347\) | −12.5446 | + | 7.24264i | −0.673431 | + | 0.388805i | −0.797375 | − | 0.603484i | \(-0.793779\pi\) |
0.123945 | + | 0.992289i | \(0.460445\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 36.9164i | 1.97609i | 0.154163 | + | 0.988045i | \(0.450732\pi\) | ||||
−0.154163 | + | 0.988045i | \(0.549268\pi\) | |||||||
\(350\) | 26.1039 | + | 20.2426i | 1.39531 | + | 1.08201i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.50000 | − | 2.59808i | 0.0799503 | − | 0.138478i | ||||
\(353\) | −9.37769 | − | 16.2426i | −0.499124 | − | 0.864509i | 0.500875 | − | 0.865519i | \(-0.333012\pi\) |
−0.999999 | + | 0.00101095i | \(0.999678\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 37.0919 | + | 21.4150i | 1.96863 | + | 1.13659i | ||||
\(356\) | 10.3923 | 0.550791 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.51472 | 0.502869 | ||||||||
\(359\) | −15.5885 | − | 9.00000i | −0.822727 | − | 0.475002i | 0.0286287 | − | 0.999590i | \(-0.490886\pi\) |
−0.851356 | + | 0.524588i | \(0.824219\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.98528 | − | 15.5630i | −0.472910 | − | 0.819103i | ||||
\(362\) | −1.01461 | + | 1.75736i | −0.0533268 | + | 0.0923648i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.878680 | − | 6.42090i | 0.0460553 | − | 0.336546i | ||||
\(365\) | − | 34.9706i | − | 1.83044i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.3492 | − | 9.43924i | 0.853424 | − | 0.492724i | −0.00838099 | − | 0.999965i | \(-0.502668\pi\) |
0.861804 | + | 0.507241i | \(0.169334\pi\) | |||||||
\(368\) | 3.67423 | − | 2.12132i | 0.191533 | − | 0.110581i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 34.4669i | 1.79185i | ||||||||
\(371\) | −0.445759 | + | 3.25736i | −0.0231427 | + | 0.169114i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.7279 | + | 18.5813i | −0.555471 | + | 0.962104i | 0.442396 | + | 0.896820i | \(0.354129\pi\) |
−0.997867 | + | 0.0652837i | \(0.979205\pi\) | |||||||
\(374\) | 1.52192 | + | 2.63604i | 0.0786965 | + | 0.136306i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.878680 | − | 0.507306i | −0.0453144 | − | 0.0261623i | ||||
\(377\) | −3.04384 | −0.156766 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.48528 | −0.230393 | −0.115197 | − | 0.993343i | \(-0.536750\pi\) | ||||
−0.115197 | + | 0.993343i | \(0.536750\pi\) | |||||||
\(380\) | −3.67423 | − | 2.12132i | −0.188484 | − | 0.108821i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.24264 | − | 7.34847i | −0.217072 | − | 0.375980i | ||||
\(383\) | −6.21076 | + | 10.7574i | −0.317355 | + | 0.549675i | −0.979935 | − | 0.199316i | \(-0.936128\pi\) |
0.662580 | + | 0.748991i | \(0.269461\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.2279 | − | 20.3389i | −1.33670 | − | 1.03656i | ||||
\(386\) | 7.48528i | 0.380991i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.25736 | + | 1.88064i | −0.165367 | + | 0.0954749i | ||||
\(389\) | 16.8493 | − | 9.72792i | 0.854291 | − | 0.493225i | −0.00780525 | − | 0.999970i | \(-0.502485\pi\) |
0.862096 | + | 0.506744i | \(0.169151\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.30463i | 0.217695i | ||||||||
\(392\) | 6.77962 | − | 1.74264i | 0.342422 | − | 0.0880166i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.75736 | + | 8.23999i | −0.239672 | + | 0.415125i | ||||
\(395\) | −23.5058 | − | 40.7132i | −1.18270 | − | 2.04850i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.0000 | + | 6.92820i | 0.602263 | + | 0.347717i | 0.769931 | − | 0.638127i | \(-0.220290\pi\) |
−0.167668 | + | 0.985843i | \(0.553624\pi\) | |||||||
\(398\) | −16.1318 | −0.808615 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.4853 | 0.624264 | ||||||||
\(401\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.87868 | + | 11.9142i | 0.342651 | + | 0.593490i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.24264 | − | 3.04384i | −0.0616712 | − | 0.151063i | ||||
\(407\) | − | 24.7279i | − | 1.22572i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.98528 | + | 2.30090i | −0.197059 | + | 0.113772i | −0.595283 | − | 0.803516i | \(-0.702960\pi\) |
0.398224 | + | 0.917288i | \(0.369627\pi\) | |||||||
\(410\) | 7.34847 | − | 4.24264i | 0.362915 | − | 0.209529i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 15.2913i | − | 0.753348i | ||||||
\(413\) | 30.2238 | + | 4.13604i | 1.48722 | + | 0.203521i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.62132 | + | 11.4685i | −0.325028 | + | 0.562965i | ||||
\(416\) | −1.22474 | − | 2.12132i | −0.0600481 | − | 0.104006i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.63604 | + | 1.52192i | 0.128933 | + | 0.0744394i | ||||
\(419\) | 4.05845 | 0.198268 | 0.0991341 | − | 0.995074i | \(-0.468393\pi\) | ||||
0.0991341 | + | 0.995074i | \(0.468393\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.75736 | −0.280597 | −0.140298 | − | 0.990109i | \(-0.544806\pi\) | ||||
−0.140298 | + | 0.990109i | \(0.544806\pi\) | |||||||
\(422\) | 7.13834 | + | 4.12132i | 0.347489 | + | 0.200623i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.621320 | + | 1.07616i | 0.0301740 | + | 0.0522629i | ||||
\(425\) | −6.33386 | + | 10.9706i | −0.307237 | + | 0.532150i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −14.4853 | + | 5.91359i | −0.700992 | + | 0.286179i | ||||
\(428\) | 5.48528i | 0.265141i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 29.8492 | − | 17.2335i | 1.43946 | − | 0.831072i | ||||
\(431\) | −17.7408 | + | 10.2426i | −0.854543 | + | 0.493371i | −0.862181 | − | 0.506600i | \(-0.830902\pi\) |
0.00763808 | + | 0.999971i | \(0.497569\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 3.46410i | − | 0.166474i | −0.996530 | − | 0.0832370i | \(-0.973474\pi\) | ||
0.996530 | − | 0.0832370i | \(-0.0265259\pi\) | |||||||
\(434\) | −9.10601 | + | 11.7426i | −0.437103 | + | 0.563665i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.757359 | − | 1.31178i | 0.0362709 | − | 0.0628231i | ||||
\(437\) | 2.15232 | + | 3.72792i | 0.102959 | + | 0.178331i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 23.5919 | + | 13.6208i | 1.12598 | + | 0.650084i | 0.942921 | − | 0.333018i | \(-0.108067\pi\) |
0.183059 | + | 0.983102i | \(0.441400\pi\) | |||||||
\(440\) | −12.5446 | −0.598041 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.48528 | 0.118213 | ||||||||
\(443\) | 29.8396 | + | 17.2279i | 1.41772 | + | 0.818523i | 0.996099 | − | 0.0882469i | \(-0.0281264\pi\) |
0.421625 | + | 0.906770i | \(0.361460\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.7279 | − | 37.6339i | −1.03000 | − | 1.78402i | ||||
\(446\) | 6.27231 | − | 10.8640i | 0.297003 | − | 0.514423i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.62132 | − | 2.09077i | 0.0766002 | − | 0.0987796i | ||||
\(449\) | 10.2426i | 0.483380i | 0.970354 | + | 0.241690i | \(0.0777017\pi\) | ||||
−0.970354 | + | 0.241690i | \(0.922298\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.27208 | + | 3.04384i | −0.248252 | + | 0.143329i | ||||
\(452\) | −7.34847 | + | 4.24264i | −0.345643 | + | 0.199557i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.5885i | 0.731603i | ||||||||
\(455\) | −25.0892 | + | 10.2426i | −1.17620 | + | 0.480182i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.5000 | − | 19.9186i | 0.537947 | − | 0.931752i | −0.461067 | − | 0.887365i | \(-0.652533\pi\) |
0.999014 | − | 0.0443868i | \(-0.0141334\pi\) | |||||||
\(458\) | −6.92820 | − | 12.0000i | −0.323734 | − | 0.560723i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −15.3640 | − | 8.87039i | −0.716348 | − | 0.413584i | ||||
\(461\) | 22.8138 | 1.06255 | 0.531273 | − | 0.847201i | \(-0.321714\pi\) | ||||
0.531273 | + | 0.847201i | \(0.321714\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.4558 | 0.997138 | 0.498569 | − | 0.866850i | \(-0.333859\pi\) | ||||
0.498569 | + | 0.866850i | \(0.333859\pi\) | |||||||
\(464\) | −1.07616 | − | 0.621320i | −0.0499594 | − | 0.0288441i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.36396 | − | 5.82655i | −0.155832 | − | 0.269910i | ||||
\(467\) | −9.50079 | + | 16.4558i | −0.439644 | + | 0.761486i | −0.997662 | − | 0.0683432i | \(-0.978229\pi\) |
0.558018 | + | 0.829829i | \(0.311562\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −26.2132 | − | 3.58719i | −1.21041 | − | 0.165641i | ||||
\(470\) | 4.24264i | 0.195698i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.98528 | − | 5.76500i | 0.459610 | − | 0.265356i | ||||
\(473\) | −21.4150 | + | 12.3640i | −0.984663 | + | 0.568496i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.6677i | 0.581235i | ||||||||
\(476\) | 1.01461 | + | 2.48528i | 0.0465047 | + | 0.113913i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.36396 | + | 11.0227i | −0.291081 | + | 0.504167i | ||||
\(479\) | 18.2481 | + | 31.6066i | 0.833776 | + | 1.44414i | 0.895023 | + | 0.446020i | \(0.147159\pi\) |
−0.0612470 | + | 0.998123i | \(0.519508\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.4853 | − | 10.0951i | −0.797260 | − | 0.460298i | ||||
\(482\) | 17.0233 | 0.775392 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.00000 | −0.0909091 | ||||||||
\(485\) | 13.6208 | + | 7.86396i | 0.618488 | + | 0.357084i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.1066 | − | 24.4334i | −0.639231 | − | 1.10718i | −0.985602 | − | 0.169083i | \(-0.945919\pi\) |
0.346371 | − | 0.938098i | \(-0.387414\pi\) | |||||||
\(488\) | −2.95680 | + | 5.12132i | −0.133848 | + | 0.231831i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −20.4853 | − | 20.9077i | −0.925431 | − | 0.944514i | ||||
\(491\) | − | 19.9706i | − | 0.901259i | −0.892711 | − | 0.450629i | \(-0.851200\pi\) | ||
0.892711 | − | 0.450629i | \(-0.148800\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.09188 | − | 0.630399i | 0.0491759 | − | 0.0283917i | ||||
\(494\) | 2.15232 | − | 1.24264i | 0.0968373 | − | 0.0559090i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.61642i | 0.252185i | ||||||||
\(497\) | −21.4150 | − | 16.6066i | −0.960594 | − | 0.744908i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.9706 | − | 31.1259i | 0.804473 | − | 1.39339i | −0.112173 | − | 0.993689i | \(-0.535781\pi\) |
0.916646 | − | 0.399699i | \(-0.130885\pi\) | |||||||
\(500\) | −15.6500 | − | 27.1066i | −0.699889 | − | 1.21224i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.2574 | − | 8.80884i | −0.680969 | − | 0.393158i | ||||
\(503\) | 3.29002 | 0.146695 | 0.0733474 | − | 0.997306i | \(-0.476632\pi\) | ||||
0.0733474 | + | 0.997306i | \(0.476632\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 11.0227 | + | 6.36396i | 0.490019 | + | 0.282913i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.62132 | − | 4.54026i | −0.116302 | − | 0.201441i | ||||
\(509\) | 20.8462 | − | 36.1066i | 0.923990 | − | 1.60040i | 0.130812 | − | 0.991407i | \(-0.458242\pi\) |
0.793178 | − | 0.608990i | \(-0.208425\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.00000 | + | 21.9223i | −0.132712 | + | 0.969786i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.7279 | + | 12.5446i | −0.958378 | + | 0.553320i | ||||
\(515\) | −55.3746 | + | 31.9706i | −2.44010 | + | 1.40879i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 3.04384i | − | 0.133868i | ||||||
\(518\) | 2.95680 | − | 21.6066i | 0.129914 | − | 0.949340i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.12132 | + | 8.87039i | −0.224585 | + | 0.388992i | ||||
\(521\) | 10.0081 | + | 17.3345i | 0.438462 | + | 0.759439i | 0.997571 | − | 0.0696551i | \(-0.0221899\pi\) |
−0.559109 | + | 0.829094i | \(0.688857\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.8492 | − | 13.7694i | −1.04285 | − | 0.602092i | −0.122214 | − | 0.992504i | \(-0.538999\pi\) |
−0.920641 | + | 0.390411i | \(0.872333\pi\) | |||||||
\(524\) | −5.19615 | −0.226995 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −27.2132 | −1.18655 | ||||||||
\(527\) | −4.93503 | − | 2.84924i | −0.214973 | − | 0.124115i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.50000 | − | 4.33013i | −0.108696 | − | 0.188266i | ||||
\(530\) | 2.59808 | − | 4.50000i | 0.112853 | − | 0.195468i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.12132 | + | 1.64501i | 0.0919709 | + | 0.0713203i | ||||
\(533\) | 4.97056i | 0.215299i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 19.8640 | − | 11.4685i | 0.858794 | − | 0.495825i | ||||
\(536\) | −8.66025 | + | 5.00000i | −0.374066 | + | 0.215967i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.5154i | 0.453351i | ||||||||
\(539\) | 14.6969 | + | 15.0000i | 0.633042 | + | 0.646096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.36396 | − | 9.29065i | 0.230615 | − | 0.399436i | −0.727374 | − | 0.686241i | \(-0.759260\pi\) |
0.957989 | + | 0.286804i | \(0.0925930\pi\) | |||||||
\(542\) | −5.55487 | − | 9.62132i | −0.238602 | − | 0.413271i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.878680 | + | 0.507306i | 0.0376731 | + | 0.0217506i | ||||
\(545\) | −6.33386 | −0.271313 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.6985 | 0.842246 | 0.421123 | − | 0.907003i | \(-0.361636\pi\) | ||||
0.421123 | + | 0.907003i | \(0.361636\pi\) | |||||||
\(548\) | 12.5446 | + | 7.24264i | 0.535880 | + | 0.309390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 18.7279 | + | 32.4377i | 0.798561 | + | 1.38315i | ||||
\(551\) | 0.630399 | − | 1.09188i | 0.0268559 | − | 0.0465158i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.2426 | + | 27.5387i | 0.478086 | + | 1.17107i | ||||
\(554\) | 20.9706i | 0.890954i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.4853 | − | 10.0951i | 0.741541 | − | 0.428129i | ||||
\(557\) | −13.6208 | + | 7.86396i | −0.577131 | + | 0.333207i | −0.759992 | − | 0.649932i | \(-0.774797\pi\) |
0.182861 | + | 0.983139i | \(0.441464\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.1903i | 0.853957i | ||||||||
\(560\) | −10.9612 | − | 1.50000i | −0.463193 | − | 0.0633866i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.00000 | − | 5.19615i | 0.126547 | − | 0.219186i | ||||
\(563\) | −12.0989 | − | 20.9558i | −0.509906 | − | 0.883184i | −0.999934 | − | 0.0114768i | \(-0.996347\pi\) |
0.490028 | − | 0.871707i | \(-0.336987\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 30.7279 | + | 17.7408i | 1.29273 | + | 0.746360i | ||||
\(566\) | −6.50794 | −0.273549 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.2426 | −0.429772 | ||||||||
\(569\) | −1.52192 | − | 0.878680i | −0.0638021 | − | 0.0368362i | 0.467760 | − | 0.883856i | \(-0.345061\pi\) |
−0.531562 | + | 0.847020i | \(0.678395\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.36396 | + | 14.4868i | 0.350021 | + | 0.606254i | 0.986253 | − | 0.165244i | \(-0.0528412\pi\) |
−0.636232 | + | 0.771498i | \(0.719508\pi\) | |||||||
\(572\) | 3.67423 | − | 6.36396i | 0.153627 | − | 0.266091i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.97056 | + | 2.02922i | −0.207467 | + | 0.0846982i | ||||
\(575\) | 52.9706i | 2.20903i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.7426 | − | 10.2437i | 0.738636 | − | 0.426452i | −0.0829373 | − | 0.996555i | \(-0.526430\pi\) |
0.821573 | + | 0.570103i | \(0.193097\pi\) | |||||||
\(578\) | 13.8309 | − | 7.98528i | 0.575290 | − | 0.332144i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.19615i | 0.215758i | ||||||||
\(581\) | 5.13461 | − | 6.62132i | 0.213019 | − | 0.274699i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.86396 | + | 3.22848i | −0.0771974 | + | 0.133710i | ||||
\(584\) | 4.18154 | + | 7.24264i | 0.173033 | + | 0.299703i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.62132 | + | 2.09077i | 0.149595 | + | 0.0863689i | ||||
\(587\) | 5.19615 | 0.214468 | 0.107234 | − | 0.994234i | \(-0.465801\pi\) | ||||
0.107234 | + | 0.994234i | \(0.465801\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.69848 | −0.234802 | ||||||||
\(590\) | −41.7539 | − | 24.1066i | −1.71898 | − | 0.992453i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.12132 | − | 7.13834i | −0.169385 | − | 0.293384i | ||||
\(593\) | 15.2042 | − | 26.3345i | 0.624363 | − | 1.08143i | −0.364300 | − | 0.931282i | \(-0.618692\pi\) |
0.988664 | − | 0.150148i | \(-0.0479749\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.87868 | − | 8.87039i | 0.281998 | − | 0.363650i | ||||
\(596\) | − | 20.4853i | − | 0.839110i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.00000 | − | 5.19615i | 0.368037 | − | 0.212486i | ||||
\(599\) | 37.6339 | − | 21.7279i | 1.53768 | − | 0.887779i | 0.538704 | − | 0.842495i | \(-0.318914\pi\) |
0.998974 | − | 0.0452836i | \(-0.0144192\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 6.03668i | − | 0.246241i | −0.992392 | − | 0.123121i | \(-0.960710\pi\) | ||
0.992392 | − | 0.123121i | \(-0.0392902\pi\) | |||||||
\(602\) | −20.1903 | + | 8.24264i | −0.822894 | + | 0.335945i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.62132 | + | 2.80821i | −0.0659706 | + | 0.114264i | ||||
\(605\) | 4.18154 | + | 7.24264i | 0.170004 | + | 0.294455i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.6213 | − | 12.4831i | −0.877582 | − | 0.506672i | −0.00772182 | − | 0.999970i | \(-0.502458\pi\) |
−0.869860 | + | 0.493298i | \(0.835791\pi\) | |||||||
\(608\) | 1.01461 | 0.0411479 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 24.7279 | 1.00120 | ||||||||
\(611\) | −2.15232 | − | 1.24264i | −0.0870734 | − | 0.0502719i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.60660 | − | 4.51477i | −0.105280 | − | 0.182350i | 0.808573 | − | 0.588396i | \(-0.200240\pi\) |
−0.913852 | + | 0.406046i | \(0.866907\pi\) | |||||||
\(614\) | 12.3345 | − | 21.3640i | 0.497779 | − | 0.862179i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.86396 | + | 1.07616i | 0.316848 | + | 0.0433597i | ||||
\(617\) | − | 41.6985i | − | 1.67872i | −0.543578 | − | 0.839359i | \(-0.682931\pi\) | ||
0.543578 | − | 0.839359i | \(-0.317069\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −41.3345 | + | 23.8645i | −1.66137 | + | 0.959195i | −0.689315 | + | 0.724462i | \(0.742088\pi\) |
−0.972060 | + | 0.234733i | \(0.924578\pi\) | |||||||
\(620\) | 20.3389 | − | 11.7426i | 0.816828 | − | 0.471596i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 18.7554i | − | 0.752022i | ||||||
\(623\) | 10.3923 | + | 25.4558i | 0.416359 | + | 1.01987i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −34.2279 | + | 59.2845i | −1.36912 | + | 2.37138i | ||||
\(626\) | −0.568852 | − | 0.985281i | −0.0227359 | − | 0.0393798i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.7279 | − | 7.34847i | −0.507899 | − | 0.293236i | ||||
\(629\) | 8.36308 | 0.333458 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2426 | 1.32337 | 0.661684 | − | 0.749783i | \(-0.269842\pi\) | ||||
0.661684 | + | 0.749783i | \(0.269842\pi\) | |||||||
\(632\) | 9.73641 | + | 5.62132i | 0.387294 | + | 0.223604i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.62132 | − | 6.27231i | −0.143821 | − | 0.249105i | ||||
\(635\) | −10.9612 | + | 18.9853i | −0.434980 | + | 0.753408i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.6066 | − | 4.26858i | 0.657978 | − | 0.169127i | ||||
\(638\) | − | 3.72792i | − | 0.147590i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.62132 | + | 2.09077i | −0.143145 | + | 0.0826450i | ||||
\(641\) | 36.1119 | − | 20.8492i | 1.42634 | − | 0.823496i | 0.429507 | − | 0.903064i | \(-0.358687\pi\) |
0.996829 | + | 0.0795681i | \(0.0253541\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.62357i | 0.103463i | 0.998661 | + | 0.0517317i | \(0.0164741\pi\) | ||||
−0.998661 | + | 0.0517317i | \(0.983526\pi\) | |||||||
\(644\) | 8.87039 | + | 6.87868i | 0.349542 | + | 0.271058i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.514719 | + | 0.891519i | −0.0202513 | + | 0.0350763i | ||||
\(647\) | 5.82655 | + | 10.0919i | 0.229065 | + | 0.396753i | 0.957531 | − | 0.288329i | \(-0.0930997\pi\) |
−0.728466 | + | 0.685082i | \(0.759766\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.9558 | + | 17.2950i | 1.17587 | + | 0.678889i | ||||
\(650\) | 30.5826 | 1.19955 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.24264 | −0.244481 | ||||||||
\(653\) | 9.31615 | + | 5.37868i | 0.364569 | + | 0.210484i | 0.671083 | − | 0.741382i | \(-0.265829\pi\) |
−0.306514 | + | 0.951866i | \(0.599163\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.8640 | + | 18.8169i | 0.424490 | + | 0.735238i | ||||
\(656\) | −1.01461 | + | 1.75736i | −0.0396139 | + | 0.0686134i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.363961 | − | 2.65962i | 0.0141887 | − | 0.103683i | ||||
\(659\) | − | 6.00000i | − | 0.233727i | −0.993148 | − | 0.116863i | \(-0.962716\pi\) | ||
0.993148 | − | 0.116863i | \(-0.0372840\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 35.1213 | − | 20.2773i | 1.36606 | − | 0.788696i | 0.375639 | − | 0.926766i | \(-0.377423\pi\) |
0.990422 | + | 0.138071i | \(0.0440901\pi\) | |||||||
\(662\) | −15.1172 | + | 8.72792i | −0.587547 | + | 0.339220i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 3.16693i | − | 0.122901i | ||||||
\(665\) | 1.52192 | − | 11.1213i | 0.0590174 | − | 0.431266i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.63604 | − | 4.56575i | 0.102068 | − | 0.176787i | ||||
\(668\) | 11.5300 | + | 19.9706i | 0.446109 | + | 0.772684i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 36.2132 | + | 20.9077i | 1.39904 | + | 0.807735i | ||||
\(671\) | −17.7408 | −0.684875 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.9706 | −0.615620 | −0.307810 | − | 0.951448i | \(-0.599596\pi\) | ||||
−0.307810 | + | 0.951448i | \(0.599596\pi\) | |||||||
\(674\) | −4.33013 | − | 2.50000i | −0.166790 | − | 0.0962964i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.50000 | + | 6.06218i | 0.134615 | + | 0.233161i | ||||
\(677\) | −6.27231 | + | 10.8640i | −0.241064 | + | 0.417536i | −0.961018 | − | 0.276487i | \(-0.910830\pi\) |
0.719953 | + | 0.694023i | \(0.244163\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.86396 | − | 6.09823i | −0.301791 | − | 0.234029i | ||||
\(680\) | − | 4.24264i | − | 0.162698i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −14.5919 | + | 8.42463i | −0.558752 | + | 0.322596i | ||||
\(683\) | 22.4912 | − | 12.9853i | 0.860601 | − | 0.496868i | −0.00361277 | − | 0.999993i | \(-0.501150\pi\) |
0.864213 | + | 0.503125i | \(0.167817\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 60.5708i | − | 2.31429i | ||||||
\(686\) | 11.0482 | + | 14.8640i | 0.421822 | + | 0.567509i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.12132 | + | 7.13834i | −0.157124 | + | 0.272147i | ||||
\(689\) | 1.52192 | + | 2.63604i | 0.0579805 | + | 0.100425i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.727922 | − | 0.420266i | −0.0276915 | − | 0.0159877i | 0.486090 | − | 0.873909i | \(-0.338423\pi\) |
−0.513782 | + | 0.857921i | \(0.671756\pi\) | |||||||
\(692\) | −20.7846 | −0.790112 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.4853 | −0.549854 | ||||||||
\(695\) | −73.1154 | − | 42.2132i | −2.77343 | − | 1.60124i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.02944 | − | 1.78304i | −0.0389927 | − | 0.0675374i | ||||
\(698\) | −18.4582 | + | 31.9706i | −0.698654 | + | 1.21010i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.4853 | + | 30.5826i | 0.471899 | + | 1.15591i | ||||
\(701\) | 38.6985i | 1.46162i | 0.682580 | + | 0.730811i | \(0.260858\pi\) | ||||
−0.682580 | + | 0.730811i | \(0.739142\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.24264 | − | 4.18154i | 0.273161 | − | 0.157710i | ||||
\(704\) | 2.59808 | − | 1.50000i | 0.0979187 | − | 0.0565334i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 18.7554i | − | 0.705868i | ||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.48528 | − | 6.03668i | 0.130892 | − | 0.226712i | −0.793128 | − | 0.609055i | \(-0.791549\pi\) |
0.924021 | + | 0.382342i | \(0.124882\pi\) | |||||||
\(710\) | 21.4150 | + | 37.0919i | 0.803691 | + | 1.39203i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | + | 5.19615i | 0.337289 | + | 0.194734i | ||||
\(713\) | −23.8284 | −0.892382 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −30.7279 | −1.14916 | ||||||||
\(716\) | 8.23999 | + | 4.75736i | 0.307943 | + | 0.177791i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.00000 | − | 15.5885i | −0.335877 | − | 0.581756i | ||||
\(719\) | 11.5300 | − | 19.9706i | 0.429997 | − | 0.744776i | −0.566876 | − | 0.823803i | \(-0.691848\pi\) |
0.996872 | + | 0.0790270i | \(0.0251813\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 37.4558 | − | 15.2913i | 1.39493 | − | 0.569477i | ||||
\(722\) | − | 17.9706i | − | 0.668795i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.75736 | + | 1.01461i | −0.0653117 | + | 0.0377078i | ||||
\(725\) | 13.4361 | − | 7.75736i | 0.499006 | − | 0.288101i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 26.4010i | − | 0.979160i | −0.871958 | − | 0.489580i | \(-0.837150\pi\) | ||
0.871958 | − | 0.489580i | \(-0.162850\pi\) | |||||||
\(728\) | 3.97141 | − | 5.12132i | 0.147190 | − | 0.189809i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 17.4853 | − | 30.2854i | 0.647159 | − | 1.12091i | ||||
\(731\) | −4.18154 | − | 7.24264i | −0.154660 | − | 0.267879i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −34.0919 | − | 19.6830i | −1.25921 | − | 0.727007i | −0.286291 | − | 0.958143i | \(-0.592422\pi\) |
−0.972921 | + | 0.231136i | \(0.925756\pi\) | |||||||
\(734\) | 18.8785 | 0.696817 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.24264 | 0.156386 | ||||||||
\(737\) | −25.9808 | − | 15.0000i | −0.957014 | − | 0.552532i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.7279 | + | 30.7057i | 0.652132 | + | 1.12953i | 0.982605 | + | 0.185710i | \(0.0594586\pi\) |
−0.330472 | + | 0.943816i | \(0.607208\pi\) | |||||||
\(740\) | −17.2335 | + | 29.8492i | −0.633515 | + | 1.09728i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.01472 | + | 2.59808i | −0.0739626 | + | 0.0953784i | ||||
\(743\) | − | 21.5147i | − | 0.789298i | −0.918832 | − | 0.394649i | \(-0.870866\pi\) | ||
0.918832 | − | 0.394649i | \(-0.129134\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −74.1838 | + | 42.8300i | −2.71788 | + | 1.56917i | ||||
\(746\) | −18.5813 | + | 10.7279i | −0.680310 | + | 0.392777i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.04384i | 0.111294i | ||||||||
\(749\) | −13.4361 | + | 5.48528i | −0.490946 | + | 0.200428i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.3787 | + | 23.1726i | −0.488195 | + | 0.845578i | −0.999908 | − | 0.0135781i | \(-0.995678\pi\) |
0.511713 | + | 0.859157i | \(0.329011\pi\) | |||||||
\(752\) | −0.507306 | − | 0.878680i | −0.0184995 | − | 0.0320422i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.63604 | − | 1.52192i | −0.0959989 | − | 0.0554250i | ||||
\(755\) | 13.5592 | 0.493471 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.2426 | −1.53533 | −0.767667 | − | 0.640848i | \(-0.778583\pi\) | ||||
−0.767667 | + | 0.640848i | \(0.778583\pi\) | |||||||
\(758\) | −3.88437 | − | 2.24264i | −0.141087 | − | 0.0814564i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.12132 | − | 3.67423i | −0.0769484 | − | 0.133278i | ||||
\(761\) | −2.53653 | + | 4.39340i | −0.0919491 | + | 0.159261i | −0.908331 | − | 0.418252i | \(-0.862643\pi\) |
0.816382 | + | 0.577512i | \(0.195976\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.97056 | + | 0.543359i | 0.143744 | + | 0.0196709i | ||||
\(764\) | − | 8.48528i | − | 0.306987i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.7574 | + | 6.21076i | −0.388679 | + | 0.224404i | ||||
\(767\) | 24.4588 | − | 14.1213i | 0.883158 | − | 0.509891i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 49.0408i | 1.76846i | 0.467056 | + | 0.884228i | \(0.345315\pi\) | ||||
−0.467056 | + | 0.884228i | \(0.654685\pi\) | |||||||
\(770\) | −12.5446 | − | 30.7279i | −0.452077 | − | 1.10736i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.74264 | + | 6.48244i | −0.134701 | + | 0.233308i | ||||
\(773\) | −11.5300 | − | 19.9706i | −0.414706 | − | 0.718291i | 0.580692 | − | 0.814123i | \(-0.302782\pi\) |
−0.995398 | + | 0.0958322i | \(0.969449\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −60.7279 | − | 35.0613i | −2.18141 | − | 1.25944i | ||||
\(776\) | −3.76127 | −0.135022 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 19.4558 | 0.697526 | ||||||||
\(779\) | −1.78304 | − | 1.02944i | −0.0638840 | − | 0.0368834i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.3640 | − | 26.6112i | −0.549766 | − | 0.952222i | ||||
\(782\) | −2.15232 | + | 3.72792i | −0.0769667 | + | 0.133310i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.74264 | + | 1.88064i | 0.240809 | + | 0.0671656i | ||||
\(785\) | 61.4558i | 2.19345i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32.1213 | − | 18.5453i | 1.14500 | − | 0.661067i | 0.197337 | − | 0.980336i | \(-0.436771\pi\) |
0.947664 | + | 0.319269i | \(0.103437\pi\) | |||||||
\(788\) | −8.23999 | + | 4.75736i | −0.293537 | + | 0.169474i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | − | 47.0116i | − | 1.67260i | ||||||
\(791\) | −17.7408 | − | 13.7574i | −0.630789 | − | 0.489155i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.24264 | + | 12.5446i | −0.257194 | + | 0.445473i | ||||
\(794\) | 6.92820 | + | 12.0000i | 0.245873 | + | 0.425864i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −13.9706 | − | 8.06591i | −0.495173 | − | 0.285889i | ||||
\(797\) | −37.6339 | −1.33306 | −0.666530 | − | 0.745478i | \(-0.732221\pi\) | ||||
−0.666530 | + | 0.745478i | \(0.732221\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.02944 | 0.0364189 | ||||||||
\(800\) | 10.8126 | + | 6.24264i | 0.382282 | + | 0.220711i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −12.5446 | + | 21.7279i | −0.442690 | + | 0.766762i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.36396 | − | 46.5043i | 0.224300 | − | 1.63906i | ||||
\(806\) | 13.7574i | 0.484582i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −35.4815 | + | 20.4853i | −1.24746 | + | 0.720224i | −0.970603 | − | 0.240686i | \(-0.922628\pi\) |
−0.276862 | + | 0.960910i | \(0.589294\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.1769i | 1.09477i | 0.836881 | + | 0.547385i | \(0.184377\pi\) | ||||
−0.836881 | + | 0.547385i | \(0.815623\pi\) | |||||||
\(812\) | 0.445759 | − | 3.25736i | 0.0156431 | − | 0.114311i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.3640 | − | 21.4150i | 0.433357 | − | 0.750596i | ||||
\(815\) | 13.0519 | + | 22.6066i | 0.457189 | + | 0.791875i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.24264 | − | 4.18154i | −0.253388 | − | 0.146294i | ||||
\(818\) | −4.60181 | −0.160898 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.48528 | 0.296319 | ||||||||
\(821\) | 42.6454 | + | 24.6213i | 1.48833 | + | 0.859290i | 0.999911 | − | 0.0133172i | \(-0.00423912\pi\) |
0.488423 | + | 0.872607i | \(0.337572\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.9706 | + | 32.8580i | 0.661272 | + | 1.14536i | 0.980282 | + | 0.197606i | \(0.0633165\pi\) |
−0.319009 | + | 0.947752i | \(0.603350\pi\) | |||||||
\(824\) | 7.64564 | − | 13.2426i | 0.266349 | − | 0.461329i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 24.1066 | + | 18.6938i | 0.838776 | + | 0.650442i | ||||
\(827\) | − | 4.02944i | − | 0.140117i | −0.997543 | − | 0.0700586i | \(-0.977681\pi\) | ||
0.997543 | − | 0.0700586i | \(-0.0223186\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.3345 | + | 20.4004i | −1.22722 | + | 0.708535i | −0.966447 | − | 0.256865i | \(-0.917310\pi\) |
−0.260772 | + | 0.965401i | \(0.583977\pi\) | |||||||
\(830\) | −11.4685 | + | 6.62132i | −0.398076 | + | 0.229829i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 2.44949i | − | 0.0849208i | ||||||
\(833\) | −5.07306 | + | 4.97056i | −0.175771 | + | 0.172220i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 48.2132 | − | 83.5077i | 1.66849 | − | 2.88990i | ||||
\(836\) | 1.52192 | + | 2.63604i | 0.0526366 | + | 0.0911693i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.51472 | + | 2.02922i | 0.121414 | + | 0.0700984i | ||||
\(839\) | −24.0746 | −0.831149 | −0.415574 | − | 0.909559i | \(-0.636419\pi\) | ||||
−0.415574 | + | 0.909559i | \(0.636419\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.4558 | 0.946753 | ||||||||
\(842\) | −4.98602 | − | 2.87868i | −0.171830 | − | 0.0992059i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.12132 | + | 7.13834i | 0.141862 | + | 0.245712i | ||||
\(845\) | 14.6354 | − | 25.3492i | 0.503473 | − | 0.872040i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.00000 | − | 4.89898i | −0.0687208 | − | 0.168331i | ||||
\(848\) | 1.24264i | 0.0426725i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.9706 | + | 6.33386i | −0.376287 | + | 0.217250i | ||||
\(851\) | 30.2854 | − | 17.4853i | 1.03817 | − | 0.599388i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 2.27541i | − | 0.0779085i | −0.999241 | − | 0.0389543i | \(-0.987597\pi\) | ||
0.999241 | − | 0.0389543i | \(-0.0124027\pi\) | |||||||
\(854\) | −15.5014 | − | 2.12132i | −0.530448 | − | 0.0725901i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.74264 | + | 4.75039i | −0.0937415 | + | 0.162365i | ||||
\(857\) | −10.0081 | − | 17.3345i | −0.341870 | − | 0.592136i | 0.642910 | − | 0.765942i | \(-0.277727\pi\) |
−0.984780 | + | 0.173806i | \(0.944394\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.87868 | + | 2.23936i | 0.132339 | + | 0.0764059i | 0.564708 | − | 0.825291i | \(-0.308989\pi\) |
−0.432369 | + | 0.901697i | \(0.642322\pi\) | |||||||
\(860\) | 34.4669 | 1.17531 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20.4853 | −0.697731 | ||||||||
\(863\) | 43.7215 | + | 25.2426i | 1.48830 | + | 0.859269i | 0.999911 | − | 0.0133573i | \(-0.00425189\pi\) |
0.488388 | + | 0.872627i | \(0.337585\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 43.4558 | + | 75.2677i | 1.47754 | + | 2.55918i | ||||
\(866\) | 1.73205 | − | 3.00000i | 0.0588575 | − | 0.101944i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.7574 | + | 5.61642i | −0.466955 | + | 0.190634i | ||||
\(869\) | 33.7279i | 1.14414i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.2132 | + | 12.2474i | −0.718782 | + | 0.414989i | ||||
\(872\) | 1.31178 | − | 0.757359i | 0.0444226 | − | 0.0256474i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.30463i | 0.145606i | ||||||||
\(875\) | 50.7473 | − | 65.4411i | 1.71557 | − | 2.21231i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.24264 | − | 10.8126i | 0.210799 | − | 0.365115i | −0.741166 | − | 0.671322i | \(-0.765727\pi\) |
0.951965 | + | 0.306207i | \(0.0990601\pi\) | |||||||
\(878\) | 13.6208 | + | 23.5919i | 0.459679 | + | 0.796187i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −10.8640 | − | 6.27231i | −0.366224 | − | 0.211440i | ||||
\(881\) | −39.7862 | −1.34043 | −0.670215 | − | 0.742167i | \(-0.733798\pi\) | ||||
−0.670215 | + | 0.742167i | \(0.733798\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.45584 | −0.318214 | −0.159107 | − | 0.987261i | \(-0.550862\pi\) | ||||
−0.159107 | + | 0.987261i | \(0.550862\pi\) | |||||||
\(884\) | 2.15232 | + | 1.24264i | 0.0723902 | + | 0.0417945i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 17.2279 | + | 29.8396i | 0.578783 | + | 1.00248i | ||||
\(887\) | 22.4296 | − | 38.8492i | 0.753113 | − | 1.30443i | −0.193194 | − | 0.981161i | \(-0.561885\pi\) |
0.946307 | − | 0.323269i | \(-0.104782\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.50000 | − | 10.9612i | 0.285081 | − | 0.367625i | ||||
\(890\) | − | 43.4558i | − | 1.45664i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.8640 | − | 6.27231i | 0.363752 | − | 0.210012i | ||||
\(893\) | 0.891519 | − | 0.514719i | 0.0298335 | − | 0.0172244i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 39.7862i | − | 1.32991i | ||||||
\(896\) | 2.44949 | − | 1.00000i | 0.0818317 | − | 0.0334077i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.12132 | + | 8.87039i | −0.170901 | + | 0.296009i | ||||
\(899\) | 3.48960 | + | 6.04416i | 0.116385 | + | 0.201584i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.09188 | − | 0.630399i | −0.0363759 | − | 0.0210016i | ||||
\(902\) | −6.08767 | −0.202697 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.48528 | −0.282216 | ||||||||
\(905\) | 7.34847 | + | 4.24264i | 0.244271 | + | 0.141030i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.8492 | − | 23.9876i | −0.459857 | − | 0.796495i | 0.539096 | − | 0.842244i | \(-0.318766\pi\) |
−0.998953 | + | 0.0457492i | \(0.985433\pi\) | |||||||
\(908\) | −7.79423 | + | 13.5000i | −0.258661 | + | 0.448013i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −26.8492 | − | 3.67423i | −0.890044 | − | 0.121800i | ||||
\(911\) | − | 18.7279i | − | 0.620484i | −0.950658 | − | 0.310242i | \(-0.899590\pi\) | ||
0.950658 | − | 0.310242i | \(-0.100410\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.22792 | − | 4.75039i | 0.272304 | − | 0.157215i | ||||
\(914\) | 19.9186 | − | 11.5000i | 0.658848 | − | 0.380386i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 13.8564i | − | 0.457829i | ||||||
\(917\) | −5.19615 | − | 12.7279i | −0.171592 | − | 0.420313i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.75736 | + | 16.9002i | −0.321866 | + | 0.557488i | −0.980873 | − | 0.194649i | \(-0.937643\pi\) |
0.659007 | + | 0.752136i | \(0.270977\pi\) | |||||||
\(920\) | −8.87039 | − | 15.3640i | −0.292448 | − | 0.506535i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 19.7574 | + | 11.4069i | 0.650674 | + | 0.375667i | ||||
\(923\) | −25.0892 | −0.825823 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 102.912 | 3.38372 | ||||||||
\(926\) | 18.5813 | + | 10.7279i | 0.610620 | + | 0.352541i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.621320 | − | 1.07616i | −0.0203958 | − | 0.0353266i | ||||
\(929\) | 1.64501 | − | 2.84924i | 0.0539711 | − | 0.0934806i | −0.837778 | − | 0.546012i | \(-0.816145\pi\) |
0.891749 | + | 0.452531i | \(0.149479\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.90812 | + | 6.84116i | −0.0625360 | + | 0.224210i | ||||
\(932\) | − | 6.72792i | − | 0.220380i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.4558 | + | 9.50079i | −0.538452 | + | 0.310875i | ||||
\(935\) | 11.0227 | − | 6.36396i | 0.360481 | − | 0.208124i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.00746i | 0.130918i | 0.997855 | + | 0.0654590i | \(0.0208512\pi\) | ||||
−0.997855 | + | 0.0654590i | \(0.979149\pi\) | |||||||
\(938\) | −20.9077 | − | 16.2132i | −0.682661 | − | 0.529380i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.12132 | + | 3.67423i | −0.0691898 | + | 0.119840i | ||||
\(941\) | 26.0423 | + | 45.1066i | 0.848955 | + | 1.47043i | 0.882142 | + | 0.470984i | \(0.156101\pi\) |
−0.0331867 | + | 0.999449i | \(0.510566\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.45584 | − | 4.30463i | −0.242796 | − | 0.140178i | ||||
\(944\) | 11.5300 | 0.375270 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.7279 | −0.803974 | ||||||||
\(947\) | 19.8931 | + | 11.4853i | 0.646439 | + | 0.373221i | 0.787090 | − | 0.616838i | \(-0.211586\pi\) |
−0.140652 | + | 0.990059i | \(0.544920\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.2426 | + | 17.7408i | 0.332490 | + | 0.575890i | ||||
\(950\) | −6.33386 | + | 10.9706i | −0.205497 | + | 0.355932i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.363961 | + | 2.65962i | −0.0117960 | + | 0.0861989i | ||||
\(953\) | − | 41.6985i | − | 1.35075i | −0.737476 | − | 0.675373i | \(-0.763983\pi\) | ||
0.737476 | − | 0.675373i | \(-0.236017\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.7279 | + | 17.7408i | −0.994332 | + | 0.574078i | ||||
\(956\) | −11.0227 | + | 6.36396i | −0.356500 | + | 0.205825i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 36.4962i | 1.17914i | ||||||||
\(959\) | −5.19615 | + | 37.9706i | −0.167793 | + | 1.22613i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.272078 | − | 0.471253i | 0.00877671 | − | 0.0152017i | ||||
\(962\) | −10.0951 | − | 17.4853i | −0.325480 | − | 0.563748i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.7426 | + | 8.51167i | 0.474828 | + | 0.274142i | ||||
\(965\) | 31.3000 | 1.00758 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.2721 | 0.716222 | 0.358111 | − | 0.933679i | \(-0.383421\pi\) | ||||
0.358111 | + | 0.933679i | \(0.383421\pi\) | |||||||
\(968\) | −1.73205 | − | 1.00000i | −0.0556702 | − | 0.0321412i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.86396 | + | 13.6208i | 0.252497 | + | 0.437337i | ||||
\(971\) | −25.6581 | + | 44.4411i | −0.823407 | + | 1.42618i | 0.0797229 | + | 0.996817i | \(0.474596\pi\) |
−0.903130 | + | 0.429367i | \(0.858737\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 42.2132 | + | 32.7349i | 1.35329 | + | 1.04943i | ||||
\(974\) | − | 28.2132i | − | 0.904009i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.12132 | + | 2.95680i | −0.163929 | + | 0.0946447i | ||||
\(977\) | −27.5027 | + | 15.8787i | −0.879889 | + | 0.508004i | −0.870622 | − | 0.491953i | \(-0.836283\pi\) |
−0.00926698 | + | 0.999957i | \(0.502950\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.1769i | 0.996419i | ||||||||
\(980\) | −7.28692 | − | 28.3492i | −0.232772 | − | 0.905583i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.98528 | − | 17.2950i | 0.318643 | − | 0.551906i | ||||
\(983\) | −4.05845 | − | 7.02944i | −0.129444 | − | 0.224204i | 0.794017 | − | 0.607895i | \(-0.207986\pi\) |
−0.923461 | + | 0.383691i | \(0.874653\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 34.4558 | + | 19.8931i | 1.09785 | + | 0.633847i | ||||
\(986\) | 1.26080 | 0.0401520 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.48528 | 0.0790673 | ||||||||
\(989\) | −30.2854 | − | 17.4853i | −0.963020 | − | 0.556000i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.89340 | − | 8.47561i | −0.155444 | − | 0.269237i | 0.777777 | − | 0.628541i | \(-0.216347\pi\) |
−0.933221 | + | 0.359304i | \(0.883014\pi\) | |||||||
\(992\) | −2.80821 | + | 4.86396i | −0.0891607 | + | 0.154431i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −10.2426 | − | 25.0892i | −0.324877 | − | 0.795782i | ||||
\(995\) | 67.4558i | 2.13849i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.27208 | + | 4.77589i | −0.261979 | + | 0.151254i | −0.625237 | − | 0.780435i | \(-0.714998\pi\) |
0.363258 | + | 0.931689i | \(0.381664\pi\) | |||||||
\(998\) | 31.1259 | − | 17.9706i | 0.985274 | − | 0.568848i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))