Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(67,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.g (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.67 |
Dual form | 441.2.g.c.79.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26604 | + | 2.19285i | −0.895229 | + | 1.55058i | −0.0617072 | + | 0.998094i | \(0.519654\pi\) |
−0.833521 | + | 0.552487i | \(0.813679\pi\) | |||||||
\(3\) | 1.70574 | − | 0.300767i | 0.984808 | − | 0.173648i | ||||
\(4\) | −2.20574 | − | 3.82045i | −1.10287 | − | 1.91022i | ||||
\(5\) | −0.879385 | −0.393273 | −0.196637 | − | 0.980476i | \(-0.563002\pi\) | ||||
−0.196637 | + | 0.980476i | \(0.563002\pi\) | |||||||
\(6\) | −1.50000 | + | 4.12122i | −0.612372 | + | 1.68248i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 6.10607 | 2.15882 | ||||||||
\(9\) | 2.81908 | − | 1.02606i | 0.939693 | − | 0.342020i | ||||
\(10\) | 1.11334 | − | 1.92836i | 0.352069 | − | 0.609802i | ||||
\(11\) | 3.87939 | 1.16968 | 0.584839 | − | 0.811149i | \(-0.301158\pi\) | ||||
0.584839 | + | 0.811149i | \(0.301158\pi\) | |||||||
\(12\) | −4.91147 | − | 5.85327i | −1.41782 | − | 1.68969i | ||||
\(13\) | 2.72668 | − | 4.72275i | 0.756245 | − | 1.30986i | −0.188507 | − | 0.982072i | \(-0.560365\pi\) |
0.944753 | − | 0.327784i | \(-0.106302\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | + | 0.264490i | −0.387298 | + | 0.0682911i | ||||
\(16\) | −3.31908 | + | 5.74881i | −0.829769 | + | 1.43720i | ||||
\(17\) | −0.826352 | + | 1.43128i | −0.200420 | + | 0.347137i | −0.948664 | − | 0.316286i | \(-0.897564\pi\) |
0.748244 | + | 0.663424i | \(0.230897\pi\) | |||||||
\(18\) | −1.31908 | + | 7.48086i | −0.310910 | + | 1.76326i | ||||
\(19\) | −1.20574 | − | 2.08840i | −0.276615 | − | 0.479111i | 0.693926 | − | 0.720046i | \(-0.255879\pi\) |
−0.970541 | + | 0.240935i | \(0.922546\pi\) | |||||||
\(20\) | 1.93969 | + | 3.35965i | 0.433728 | + | 0.751240i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.91147 | + | 8.50692i | −1.04713 | + | 1.81368i | ||||
\(23\) | 3.16250 | 0.659428 | 0.329714 | − | 0.944081i | \(-0.393048\pi\) | ||||
0.329714 | + | 0.944081i | \(0.393048\pi\) | |||||||
\(24\) | 10.4153 | − | 1.83651i | 2.12602 | − | 0.374875i | ||||
\(25\) | −4.22668 | −0.845336 | ||||||||
\(26\) | 6.90420 | + | 11.9584i | 1.35403 | + | 2.34524i | ||||
\(27\) | 4.50000 | − | 2.59808i | 0.866025 | − | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.02481 | + | 5.23913i | 0.561694 | + | 0.972883i | 0.997349 | + | 0.0727688i | \(0.0231835\pi\) |
−0.435655 | + | 0.900114i | \(0.643483\pi\) | |||||||
\(30\) | 1.31908 | − | 3.62414i | 0.240830 | − | 0.661674i | ||||
\(31\) | 2.27719 | + | 3.94421i | 0.408995 | + | 0.708400i | 0.994777 | − | 0.102068i | \(-0.0325459\pi\) |
−0.585782 | + | 0.810468i | \(0.699213\pi\) | |||||||
\(32\) | −2.29813 | − | 3.98048i | −0.406256 | − | 0.703657i | ||||
\(33\) | 6.61721 | − | 1.16679i | 1.15191 | − | 0.203113i | ||||
\(34\) | −2.09240 | − | 3.62414i | −0.358843 | − | 0.621534i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −10.1382 | − | 8.50692i | −1.68969 | − | 1.41782i | ||||
\(37\) | 2.27719 | + | 3.94421i | 0.374368 | + | 0.648424i | 0.990232 | − | 0.139428i | \(-0.0445265\pi\) |
−0.615865 | + | 0.787852i | \(0.711193\pi\) | |||||||
\(38\) | 6.10607 | 0.990535 | ||||||||
\(39\) | 3.23055 | − | 8.87587i | 0.517302 | − | 1.42128i | ||||
\(40\) | −5.36959 | −0.849006 | ||||||||
\(41\) | 0.592396 | − | 1.02606i | 0.0925168 | − | 0.160244i | −0.816053 | − | 0.577977i | \(-0.803842\pi\) |
0.908570 | + | 0.417734i | \(0.137175\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0923963 | − | 0.160035i | −0.0140903 | − | 0.0244051i | 0.858894 | − | 0.512153i | \(-0.171152\pi\) |
−0.872985 | + | 0.487748i | \(0.837819\pi\) | |||||||
\(44\) | −8.55690 | − | 14.8210i | −1.29000 | − | 2.23435i | ||||
\(45\) | −2.47906 | + | 0.902302i | −0.369556 | + | 0.134507i | ||||
\(46\) | −4.00387 | + | 6.93491i | −0.590338 | + | 1.02250i | ||||
\(47\) | 0.511144 | − | 0.885328i | 0.0745581 | − | 0.129138i | −0.826336 | − | 0.563178i | \(-0.809579\pi\) |
0.900894 | + | 0.434039i | \(0.142912\pi\) | |||||||
\(48\) | −3.93242 | + | 10.8042i | −0.567596 | + | 1.55946i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.35117 | − | 9.26849i | 0.756769 | − | 1.31076i | ||||
\(51\) | −0.979055 | + | 2.68993i | −0.137095 | + | 0.376666i | ||||
\(52\) | −24.0574 | −3.33616 | ||||||||
\(53\) | −3.64543 | + | 6.31407i | −0.500738 | + | 0.867304i | 0.499261 | + | 0.866451i | \(0.333605\pi\) |
−1.00000 | 0.000852699i | \(0.999729\pi\) | ||||||||
\(54\) | 13.1571i | 1.79046i | ||||||||
\(55\) | −3.41147 | −0.460003 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.68479 | − | 3.19961i | −0.355609 | − | 0.423799i | ||||
\(58\) | −15.3182 | −2.01138 | ||||||||
\(59\) | −3.33022 | − | 5.76811i | −0.433558 | − | 0.750944i | 0.563619 | − | 0.826035i | \(-0.309409\pi\) |
−0.997177 | + | 0.0750906i | \(0.976075\pi\) | |||||||
\(60\) | 4.31908 | + | 5.14728i | 0.557591 | + | 0.664511i | ||||
\(61\) | 1.29813 | − | 2.24843i | 0.166209 | − | 0.287882i | −0.770875 | − | 0.636986i | \(-0.780181\pi\) |
0.937084 | + | 0.349104i | \(0.113514\pi\) | |||||||
\(62\) | −11.5321 | −1.46458 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.63816 | −0.204769 | ||||||||
\(65\) | −2.39780 | + | 4.15312i | −0.297411 | + | 0.515131i | ||||
\(66\) | −5.81908 | + | 15.9878i | −0.716279 | + | 1.96796i | ||||
\(67\) | 1.47906 | + | 2.56180i | 0.180695 | + | 0.312974i | 0.942118 | − | 0.335283i | \(-0.108832\pi\) |
−0.761422 | + | 0.648256i | \(0.775499\pi\) | |||||||
\(68\) | 7.29086 | 0.884147 | ||||||||
\(69\) | 5.39440 | − | 0.951178i | 0.649409 | − | 0.114508i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.68004 | −0.436741 | −0.218370 | − | 0.975866i | \(-0.570074\pi\) | ||||
−0.218370 | + | 0.975866i | \(0.570074\pi\) | |||||||
\(72\) | 17.2135 | − | 6.26519i | 2.02863 | − | 0.738360i | ||||
\(73\) | 6.39053 | − | 11.0687i | 0.747955 | − | 1.29550i | −0.200847 | − | 0.979623i | \(-0.564369\pi\) |
0.948801 | − | 0.315873i | \(-0.102297\pi\) | |||||||
\(74\) | −11.5321 | −1.34058 | ||||||||
\(75\) | −7.20961 | + | 1.27125i | −0.832494 | + | 0.146791i | ||||
\(76\) | −5.31908 | + | 9.21291i | −0.610140 | + | 1.05679i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 15.3735 | + | 18.3214i | 1.74070 | + | 2.07449i | ||||
\(79\) | 2.97906 | − | 5.15988i | 0.335170 | − | 0.580531i | −0.648348 | − | 0.761345i | \(-0.724540\pi\) |
0.983517 | + | 0.180813i | \(0.0578729\pi\) | |||||||
\(80\) | 2.91875 | − | 5.05542i | 0.326326 | − | 0.565213i | ||||
\(81\) | 6.89440 | − | 5.78509i | 0.766044 | − | 0.642788i | ||||
\(82\) | 1.50000 | + | 2.59808i | 0.165647 | + | 0.286910i | ||||
\(83\) | 0.109470 | + | 0.189608i | 0.0120159 | + | 0.0208122i | 0.871971 | − | 0.489558i | \(-0.162842\pi\) |
−0.859955 | + | 0.510370i | \(0.829508\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.726682 | − | 1.25865i | 0.0788197 | − | 0.136520i | ||||
\(86\) | 0.467911 | 0.0504562 | ||||||||
\(87\) | 6.73530 | + | 8.02682i | 0.722100 | + | 0.860565i | ||||
\(88\) | 23.6878 | 2.52513 | ||||||||
\(89\) | −5.51367 | − | 9.54996i | −0.584448 | − | 1.01229i | −0.994944 | − | 0.100431i | \(-0.967978\pi\) |
0.410496 | − | 0.911862i | \(-0.365356\pi\) | |||||||
\(90\) | 1.15998 | − | 6.57856i | 0.122272 | − | 0.693441i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −6.97565 | − | 12.0822i | −0.727262 | − | 1.25965i | ||||
\(93\) | 5.07057 | + | 6.04288i | 0.525794 | + | 0.626617i | ||||
\(94\) | 1.29426 | + | 2.24173i | 0.133493 | + | 0.231217i | ||||
\(95\) | 1.06031 | + | 1.83651i | 0.108785 | + | 0.188422i | ||||
\(96\) | −5.11721 | − | 6.09845i | −0.522273 | − | 0.622421i | ||||
\(97\) | −6.25150 | − | 10.8279i | −0.634743 | − | 1.09941i | −0.986569 | − | 0.163342i | \(-0.947773\pi\) |
0.351826 | − | 0.936065i | \(-0.385561\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.9363 | − | 3.98048i | 1.09914 | − | 0.400054i | ||||
\(100\) | 9.32295 | + | 16.1478i | 0.932295 | + | 1.61478i | ||||
\(101\) | −9.71688 | −0.966866 | −0.483433 | − | 0.875381i | \(-0.660610\pi\) | ||||
−0.483433 | + | 0.875381i | \(0.660610\pi\) | |||||||
\(102\) | −4.65910 | − | 5.55250i | −0.461320 | − | 0.549779i | ||||
\(103\) | 6.59627 | 0.649949 | 0.324975 | − | 0.945723i | \(-0.394644\pi\) | ||||
0.324975 | + | 0.945723i | \(0.394644\pi\) | |||||||
\(104\) | 16.6493 | − | 28.8374i | 1.63260 | − | 2.82774i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.23055 | − | 15.9878i | −0.896550 | − | 1.55287i | ||||
\(107\) | −1.19459 | − | 2.06910i | −0.115486 | − | 0.200027i | 0.802488 | − | 0.596668i | \(-0.203509\pi\) |
−0.917974 | + | 0.396641i | \(0.870176\pi\) | |||||||
\(108\) | −19.8516 | − | 11.4613i | −1.91022 | − | 1.10287i | ||||
\(109\) | −1.97906 | + | 3.42782i | −0.189559 | + | 0.328326i | −0.945103 | − | 0.326772i | \(-0.894039\pi\) |
0.755544 | + | 0.655098i | \(0.227373\pi\) | |||||||
\(110\) | 4.31908 | − | 7.48086i | 0.411808 | − | 0.713272i | ||||
\(111\) | 5.07057 | + | 6.04288i | 0.481278 | + | 0.573564i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.22668 | + | 14.2490i | −0.773901 | + | 1.34044i | 0.161509 | + | 0.986871i | \(0.448364\pi\) |
−0.935410 | + | 0.353565i | \(0.884969\pi\) | |||||||
\(114\) | 10.4153 | − | 1.83651i | 0.975486 | − | 0.172005i | ||||
\(115\) | −2.78106 | −0.259335 | ||||||||
\(116\) | 13.3439 | − | 23.1123i | 1.23895 | − | 2.14592i | ||||
\(117\) | 2.84090 | − | 16.1115i | 0.262641 | − | 1.48951i | ||||
\(118\) | 16.8648 | 1.55253 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −9.15910 | + | 1.61500i | −0.836108 | + | 0.147428i | ||||
\(121\) | 4.04963 | 0.368148 | ||||||||
\(122\) | 3.28699 | + | 5.69323i | 0.297590 | + | 0.515441i | ||||
\(123\) | 0.701867 | − | 1.92836i | 0.0632852 | − | 0.173875i | ||||
\(124\) | 10.0458 | − | 17.3998i | 0.902136 | − | 1.56255i | ||||
\(125\) | 8.11381 | 0.725721 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.6536 | 1.56651 | 0.783253 | − | 0.621702i | \(-0.213559\pi\) | ||||
0.783253 | + | 0.621702i | \(0.213559\pi\) | |||||||
\(128\) | 6.67024 | − | 11.5532i | 0.589572 | − | 1.02117i | ||||
\(129\) | −0.205737 | − | 0.245188i | −0.0181141 | − | 0.0215876i | ||||
\(130\) | −6.07145 | − | 10.5161i | −0.532502 | − | 0.922320i | ||||
\(131\) | −19.1976 | −1.67730 | −0.838650 | − | 0.544670i | \(-0.816655\pi\) | ||||
−0.838650 | + | 0.544670i | \(0.816655\pi\) | |||||||
\(132\) | −19.0535 | − | 22.7071i | −1.65839 | − | 1.97640i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.49020 | −0.647055 | ||||||||
\(135\) | −3.95723 | + | 2.28471i | −0.340584 | + | 0.196637i | ||||
\(136\) | −5.04576 | + | 8.73951i | −0.432670 | + | 0.749407i | ||||
\(137\) | 18.1557 | 1.55115 | 0.775573 | − | 0.631258i | \(-0.217461\pi\) | ||||
0.775573 | + | 0.631258i | \(0.217461\pi\) | |||||||
\(138\) | −4.74376 | + | 13.0334i | −0.403815 | + | 1.10947i | ||||
\(139\) | −11.0287 | + | 19.1022i | −0.935441 | + | 1.62023i | −0.161595 | + | 0.986857i | \(0.551664\pi\) |
−0.773846 | + | 0.633374i | \(0.781670\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.605600 | − | 1.66387i | 0.0510007 | − | 0.140123i | ||||
\(142\) | 4.65910 | − | 8.06980i | 0.390983 | − | 0.677202i | ||||
\(143\) | 10.5778 | − | 18.3214i | 0.884564 | − | 1.53211i | ||||
\(144\) | −3.45811 | + | 19.6119i | −0.288176 | + | 1.63433i | ||||
\(145\) | −2.65998 | − | 4.60722i | −0.220899 | − | 0.382608i | ||||
\(146\) | 16.1814 | + | 28.0270i | 1.33918 | + | 2.31953i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0458 | − | 17.3998i | 0.825756 | − | 1.43025i | ||||
\(149\) | −15.1557 | −1.24160 | −0.620802 | − | 0.783968i | \(-0.713193\pi\) | ||||
−0.620802 | + | 0.783968i | \(0.713193\pi\) | |||||||
\(150\) | 6.34002 | − | 17.4191i | 0.517661 | − | 1.42226i | ||||
\(151\) | −18.9564 | −1.54265 | −0.771323 | − | 0.636444i | \(-0.780405\pi\) | ||||
−0.771323 | + | 0.636444i | \(0.780405\pi\) | |||||||
\(152\) | −7.36231 | − | 12.7519i | −0.597162 | − | 1.03432i | ||||
\(153\) | −0.860967 | + | 4.88279i | −0.0696051 | + | 0.394750i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.00253 | − | 3.46848i | −0.160847 | − | 0.278595i | ||||
\(156\) | −41.0355 | + | 7.23567i | −3.28547 | + | 0.579318i | ||||
\(157\) | 9.02869 | + | 15.6381i | 0.720568 | + | 1.24806i | 0.960773 | + | 0.277337i | \(0.0894520\pi\) |
−0.240205 | + | 0.970722i | \(0.577215\pi\) | |||||||
\(158\) | 7.54323 | + | 13.0653i | 0.600107 | + | 1.03942i | ||||
\(159\) | −4.31908 | + | 11.8666i | −0.342525 | + | 0.941080i | ||||
\(160\) | 2.02094 | + | 3.50038i | 0.159770 | + | 0.276729i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.95723 | + | 22.4426i | 0.310910 | + | 1.76326i | ||||
\(163\) | −0.479055 | − | 0.829748i | −0.0375225 | − | 0.0649909i | 0.846654 | − | 0.532143i | \(-0.178613\pi\) |
−0.884177 | + | 0.467152i | \(0.845280\pi\) | |||||||
\(164\) | −5.22668 | −0.408135 | ||||||||
\(165\) | −5.81908 | + | 1.02606i | −0.453015 | + | 0.0798787i | ||||
\(166\) | −0.554378 | −0.0430280 | ||||||||
\(167\) | −9.91921 | + | 17.1806i | −0.767572 | + | 1.32947i | 0.171304 | + | 0.985218i | \(0.445202\pi\) |
−0.938876 | + | 0.344255i | \(0.888131\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.36959 | − | 14.4965i | −0.643814 | − | 1.11512i | ||||
\(170\) | 1.84002 | + | 3.18701i | 0.141123 | + | 0.244433i | ||||
\(171\) | −5.54189 | − | 4.65020i | −0.423799 | − | 0.355609i | ||||
\(172\) | −0.407604 | + | 0.705990i | −0.0310795 | + | 0.0538313i | ||||
\(173\) | −11.3414 | + | 19.6438i | −0.862268 | + | 1.49349i | 0.00746626 | + | 0.999972i | \(0.497623\pi\) |
−0.869734 | + | 0.493520i | \(0.835710\pi\) | |||||||
\(174\) | −26.1288 | + | 4.60722i | −1.98082 | + | 0.349272i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −12.8760 | + | 22.3019i | −0.970564 | + | 1.68107i | ||||
\(177\) | −7.41534 | − | 8.83726i | −0.557371 | − | 0.664249i | ||||
\(178\) | 27.9222 | 2.09286 | ||||||||
\(179\) | 3.67365 | − | 6.36295i | 0.274581 | − | 0.475589i | −0.695448 | − | 0.718576i | \(-0.744794\pi\) |
0.970029 | + | 0.242988i | \(0.0781274\pi\) | |||||||
\(180\) | 8.91534 | + | 7.48086i | 0.664511 | + | 0.557591i | ||||
\(181\) | −3.44562 | −0.256111 | −0.128056 | − | 0.991767i | \(-0.540874\pi\) | ||||
−0.128056 | + | 0.991767i | \(0.540874\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.53802 | − | 4.22567i | 0.113694 | − | 0.312371i | ||||
\(184\) | 19.3105 | 1.42359 | ||||||||
\(185\) | −2.00253 | − | 3.46848i | −0.147229 | − | 0.255008i | ||||
\(186\) | −19.6707 | + | 3.46848i | −1.44233 | + | 0.254321i | ||||
\(187\) | −3.20574 | + | 5.55250i | −0.234427 | + | 0.406039i | ||||
\(188\) | −4.50980 | −0.328911 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.36959 | −0.389551 | ||||||||
\(191\) | −2.82888 | + | 4.89976i | −0.204690 | + | 0.354534i | −0.950034 | − | 0.312146i | \(-0.898952\pi\) |
0.745344 | + | 0.666680i | \(0.232285\pi\) | |||||||
\(192\) | −2.79426 | + | 0.492704i | −0.201659 | + | 0.0355578i | ||||
\(193\) | −4.79813 | − | 8.31061i | −0.345377 | − | 0.598211i | 0.640045 | − | 0.768337i | \(-0.278916\pi\) |
−0.985422 | + | 0.170127i | \(0.945582\pi\) | |||||||
\(194\) | 31.6587 | 2.27296 | ||||||||
\(195\) | −2.84090 | + | 7.80531i | −0.203441 | + | 0.558950i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.31996 | 0.592772 | 0.296386 | − | 0.955068i | \(-0.404218\pi\) | ||||
0.296386 | + | 0.955068i | \(0.404218\pi\) | |||||||
\(198\) | −5.11721 | + | 29.0211i | −0.363664 | + | 2.06244i | ||||
\(199\) | −3.29813 | + | 5.71253i | −0.233798 | + | 0.404951i | −0.958923 | − | 0.283667i | \(-0.908449\pi\) |
0.725124 | + | 0.688618i | \(0.241782\pi\) | |||||||
\(200\) | −25.8084 | −1.82493 | ||||||||
\(201\) | 3.29339 | + | 3.92490i | 0.232298 | + | 0.276841i | ||||
\(202\) | 12.3020 | − | 21.3077i | 0.865566 | − | 1.49920i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 12.4363 | − | 2.19285i | 0.870714 | − | 0.153530i | ||||
\(205\) | −0.520945 | + | 0.902302i | −0.0363843 | + | 0.0630195i | ||||
\(206\) | −8.35117 | + | 14.4646i | −0.581853 | + | 1.00780i | ||||
\(207\) | 8.91534 | − | 3.24492i | 0.619659 | − | 0.225538i | ||||
\(208\) | 18.1001 | + | 31.3504i | 1.25502 | + | 2.17376i | ||||
\(209\) | −4.67752 | − | 8.10170i | −0.323551 | − | 0.560406i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.68479 | − | 2.91815i | 0.115986 | − | 0.200893i | −0.802188 | − | 0.597072i | \(-0.796331\pi\) |
0.918173 | + | 0.396179i | \(0.129664\pi\) | |||||||
\(212\) | 32.1634 | 2.20899 | ||||||||
\(213\) | −6.27719 | + | 1.10684i | −0.430106 | + | 0.0758393i | ||||
\(214\) | 6.04963 | 0.413544 | ||||||||
\(215\) | 0.0812519 | + | 0.140732i | 0.00554133 | + | 0.00959787i | ||||
\(216\) | 27.4773 | − | 15.8640i | 1.86959 | − | 1.07941i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −5.01114 | − | 8.67956i | −0.339398 | − | 0.587854i | ||||
\(219\) | 7.57145 | − | 20.8024i | 0.511631 | − | 1.40570i | ||||
\(220\) | 7.52481 | + | 13.0334i | 0.507323 | + | 0.878709i | ||||
\(221\) | 4.50640 | + | 7.80531i | 0.303133 | + | 0.525042i | ||||
\(222\) | −19.6707 | + | 3.46848i | −1.32021 | + | 0.232789i | ||||
\(223\) | 3.13816 | + | 5.43545i | 0.210146 | + | 0.363984i | 0.951760 | − | 0.306843i | \(-0.0992726\pi\) |
−0.741614 | + | 0.670827i | \(0.765939\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.9153 | + | 4.33683i | −0.794356 | + | 0.289122i | ||||
\(226\) | −20.8307 | − | 36.0798i | −1.38564 | − | 2.39999i | ||||
\(227\) | −6.16250 | −0.409020 | −0.204510 | − | 0.978865i | \(-0.565560\pi\) | ||||
−0.204510 | + | 0.978865i | \(0.565560\pi\) | |||||||
\(228\) | −6.30200 | + | 17.3146i | −0.417360 | + | 1.14669i | ||||
\(229\) | 23.3851 | 1.54533 | 0.772664 | − | 0.634815i | \(-0.218924\pi\) | ||||
0.772664 | + | 0.634815i | \(0.218924\pi\) | |||||||
\(230\) | 3.52094 | − | 6.09845i | 0.232164 | − | 0.402120i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.4697 | + | 31.9905i | 1.21260 | + | 2.10028i | ||||
\(233\) | 4.26264 | + | 7.38311i | 0.279255 | + | 0.483684i | 0.971200 | − | 0.238267i | \(-0.0765792\pi\) |
−0.691945 | + | 0.721950i | \(0.743246\pi\) | |||||||
\(234\) | 31.7335 | + | 26.6276i | 2.07449 | + | 1.74070i | ||||
\(235\) | −0.449493 | + | 0.778544i | −0.0293217 | + | 0.0507866i | ||||
\(236\) | −14.6912 | + | 25.4459i | −0.956315 | + | 1.65639i | ||||
\(237\) | 3.52956 | − | 9.69739i | 0.229270 | − | 0.629913i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.28106 | + | 12.6112i | −0.470973 | + | 0.815748i | −0.999449 | − | 0.0331997i | \(-0.989430\pi\) |
0.528476 | + | 0.848948i | \(0.322764\pi\) | |||||||
\(240\) | 3.45811 | − | 9.50108i | 0.223220 | − | 0.613292i | ||||
\(241\) | −5.40373 | −0.348085 | −0.174043 | − | 0.984738i | \(-0.555683\pi\) | ||||
−0.174043 | + | 0.984738i | \(0.555683\pi\) | |||||||
\(242\) | −5.12701 | + | 8.88024i | −0.329577 | + | 0.570844i | ||||
\(243\) | 10.0201 | − | 11.9415i | 0.642788 | − | 0.766044i | ||||
\(244\) | −11.4534 | −0.733226 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.34002 | + | 3.98048i | 0.212952 | + | 0.253786i | ||||
\(247\) | −13.1506 | −0.836755 | ||||||||
\(248\) | 13.9047 | + | 24.0836i | 0.882947 | + | 1.52931i | ||||
\(249\) | 0.243756 | + | 0.290497i | 0.0154474 | + | 0.0184095i | ||||
\(250\) | −10.2724 | + | 17.7924i | −0.649686 | + | 1.12529i | ||||
\(251\) | −12.0669 | −0.761654 | −0.380827 | − | 0.924646i | \(-0.624361\pi\) | ||||
−0.380827 | + | 0.924646i | \(0.624361\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.2686 | 0.771318 | ||||||||
\(254\) | −22.3503 | + | 38.7118i | −1.40238 | + | 2.42900i | ||||
\(255\) | 0.860967 | − | 2.36549i | 0.0539158 | − | 0.148133i | ||||
\(256\) | 15.2515 | + | 26.4164i | 0.953219 | + | 1.65102i | ||||
\(257\) | 10.5662 | 0.659104 | 0.329552 | − | 0.944137i | \(-0.393102\pi\) | ||||
0.329552 | + | 0.944137i | \(0.393102\pi\) | |||||||
\(258\) | 0.798133 | − | 0.140732i | 0.0496896 | − | 0.00876162i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 21.1557 | 1.31202 | ||||||||
\(261\) | 13.9029 | + | 11.6659i | 0.860565 | + | 0.722100i | ||||
\(262\) | 24.3050 | − | 42.0975i | 1.50157 | − | 2.60079i | ||||
\(263\) | −28.3533 | −1.74834 | −0.874169 | − | 0.485622i | \(-0.838593\pi\) | ||||
−0.874169 | + | 0.485622i | \(0.838593\pi\) | |||||||
\(264\) | 40.4051 | − | 7.12452i | 2.48676 | − | 0.438484i | ||||
\(265\) | 3.20574 | − | 5.55250i | 0.196927 | − | 0.341087i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.2772 | − | 14.6314i | −0.751352 | − | 0.895426i | ||||
\(268\) | 6.52481 | − | 11.3013i | 0.398567 | − | 0.690337i | ||||
\(269\) | −3.74170 | + | 6.48081i | −0.228135 | + | 0.395142i | −0.957255 | − | 0.289244i | \(-0.906596\pi\) |
0.729120 | + | 0.684386i | \(0.239930\pi\) | |||||||
\(270\) | − | 11.5702i | − | 0.704139i | ||||||
\(271\) | −6.81908 | − | 11.8110i | −0.414229 | − | 0.717467i | 0.581118 | − | 0.813819i | \(-0.302616\pi\) |
−0.995347 | + | 0.0963530i | \(0.969282\pi\) | |||||||
\(272\) | −5.48545 | − | 9.50108i | −0.332604 | − | 0.576088i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.9859 | + | 39.8128i | −1.38863 | + | 2.40518i | ||||
\(275\) | −16.3969 | −0.988772 | ||||||||
\(276\) | −15.5326 | − | 18.5110i | −0.934950 | − | 1.11423i | ||||
\(277\) | −6.15064 | −0.369556 | −0.184778 | − | 0.982780i | \(-0.559157\pi\) | ||||
−0.184778 | + | 0.982780i | \(0.559157\pi\) | |||||||
\(278\) | −27.9256 | − | 48.3686i | −1.67487 | − | 2.90095i | ||||
\(279\) | 10.4666 | + | 8.78249i | 0.626617 | + | 0.525794i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.65611 | − | 2.86846i | −0.0987951 | − | 0.171118i | 0.812391 | − | 0.583113i | \(-0.198165\pi\) |
−0.911186 | + | 0.411995i | \(0.864832\pi\) | |||||||
\(282\) | 2.88191 | + | 3.43453i | 0.171615 | + | 0.204523i | ||||
\(283\) | −14.5116 | − | 25.1348i | −0.862626 | − | 1.49411i | −0.869385 | − | 0.494134i | \(-0.835485\pi\) |
0.00675974 | − | 0.999977i | \(-0.497848\pi\) | |||||||
\(284\) | 8.11721 | + | 14.0594i | 0.481668 | + | 0.834273i | ||||
\(285\) | 2.36097 | + | 2.81369i | 0.139852 | + | 0.166669i | ||||
\(286\) | 26.7841 | + | 46.3913i | 1.58377 | + | 2.74318i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −10.5628 | − | 8.86327i | −0.622421 | − | 0.522273i | ||||
\(289\) | 7.13429 | + | 12.3569i | 0.419664 | + | 0.726879i | ||||
\(290\) | 13.4706 | 0.791021 | ||||||||
\(291\) | −13.9201 | − | 16.5893i | −0.816010 | − | 0.972483i | ||||
\(292\) | −56.3833 | −3.29958 | ||||||||
\(293\) | 4.20961 | − | 7.29125i | 0.245928 | − | 0.425960i | −0.716464 | − | 0.697624i | \(-0.754241\pi\) |
0.962392 | + | 0.271664i | \(0.0875740\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.92855 | + | 5.07239i | 0.170507 | + | 0.295326i | ||||
\(296\) | 13.9047 | + | 24.0836i | 0.808192 | + | 1.39983i | ||||
\(297\) | 17.4572 | − | 10.0789i | 1.01297 | − | 0.584839i | ||||
\(298\) | 19.1878 | − | 33.2342i | 1.11152 | − | 1.92521i | ||||
\(299\) | 8.62314 | − | 14.9357i | 0.498689 | − | 0.863755i | ||||
\(300\) | 20.7592 | + | 24.7399i | 1.19854 | + | 1.42836i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 23.9996 | − | 41.5685i | 1.38102 | − | 2.39200i | ||||
\(303\) | −16.5744 | + | 2.92252i | −0.952177 | + | 0.167894i | ||||
\(304\) | 16.0077 | 0.918107 | ||||||||
\(305\) | −1.14156 | + | 1.97724i | −0.0653655 | + | 0.113216i | ||||
\(306\) | −9.61721 | − | 8.06980i | −0.549779 | − | 0.461320i | ||||
\(307\) | −12.6878 | −0.724130 | −0.362065 | − | 0.932153i | \(-0.617928\pi\) | ||||
−0.362065 | + | 0.932153i | \(0.617928\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.2515 | − | 1.98394i | 0.640075 | − | 0.112863i | ||||
\(310\) | 10.1411 | 0.575979 | ||||||||
\(311\) | 8.24510 | + | 14.2809i | 0.467537 | + | 0.809797i | 0.999312 | − | 0.0370881i | \(-0.0118082\pi\) |
−0.531775 | + | 0.846886i | \(0.678475\pi\) | |||||||
\(312\) | 19.7260 | − | 54.1966i | 1.11676 | − | 3.06828i | ||||
\(313\) | −14.2592 | + | 24.6977i | −0.805980 | + | 1.39600i | 0.109648 | + | 0.993970i | \(0.465028\pi\) |
−0.915628 | + | 0.402027i | \(0.868306\pi\) | |||||||
\(314\) | −45.7229 | −2.58029 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −26.2841 | −1.47859 | ||||||||
\(317\) | 12.9474 | − | 22.4256i | 0.727200 | − | 1.25955i | −0.230862 | − | 0.972987i | \(-0.574154\pi\) |
0.958062 | − | 0.286561i | \(-0.0925122\pi\) | |||||||
\(318\) | −20.5535 | − | 24.4947i | −1.15258 | − | 1.37360i | ||||
\(319\) | 11.7344 | + | 20.3246i | 0.657002 | + | 1.13796i | ||||
\(320\) | 1.44057 | 0.0805303 | ||||||||
\(321\) | −2.65998 | − | 3.17004i | −0.148465 | − | 0.176934i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.98545 | 0.221756 | ||||||||
\(324\) | −37.3089 | − | 13.5793i | −2.07271 | − | 0.754407i | ||||
\(325\) | −11.5248 | + | 19.9616i | −0.639282 | + | 1.10727i | ||||
\(326\) | 2.42602 | 0.134365 | ||||||||
\(327\) | −2.34477 | + | 6.44220i | −0.129666 | + | 0.356255i | ||||
\(328\) | 3.61721 | − | 6.26519i | 0.199727 | − | 0.345937i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.11721 | − | 14.0594i | 0.281693 | − | 0.773946i | ||||
\(331\) | −4.10947 | + | 7.11781i | −0.225877 | + | 0.391230i | −0.956582 | − | 0.291463i | \(-0.905858\pi\) |
0.730705 | + | 0.682693i | \(0.239191\pi\) | |||||||
\(332\) | 0.482926 | − | 0.836452i | 0.0265040 | − | 0.0459063i | ||||
\(333\) | 10.4666 | + | 8.78249i | 0.573564 | + | 0.481278i | ||||
\(334\) | −25.1163 | − | 43.5028i | −1.37430 | − | 2.38037i | ||||
\(335\) | −1.30066 | − | 2.25281i | −0.0710626 | − | 0.123084i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.28564 | + | 3.95885i | −0.124507 | + | 0.215652i | −0.921540 | − | 0.388283i | \(-0.873068\pi\) |
0.797033 | + | 0.603936i | \(0.206402\pi\) | |||||||
\(338\) | 42.3851 | 2.30544 | ||||||||
\(339\) | −9.74691 | + | 26.7794i | −0.529380 | + | 1.45446i | ||||
\(340\) | −6.41147 | −0.347711 | ||||||||
\(341\) | 8.83409 | + | 15.3011i | 0.478393 | + | 0.828601i | ||||
\(342\) | 17.2135 | − | 6.26519i | 0.930798 | − | 0.338783i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.564178 | − | 0.977185i | −0.0304184 | − | 0.0526863i | ||||
\(345\) | −4.74376 | + | 0.836452i | −0.255395 | + | 0.0450331i | ||||
\(346\) | −28.7173 | − | 49.7399i | −1.54385 | − | 2.67403i | ||||
\(347\) | −11.2331 | − | 19.4563i | −0.603023 | − | 1.04447i | −0.992361 | − | 0.123372i | \(-0.960629\pi\) |
0.389337 | − | 0.921095i | \(-0.372704\pi\) | |||||||
\(348\) | 15.8097 | − | 43.4369i | 0.847491 | − | 2.32846i | ||||
\(349\) | −13.0496 | − | 22.6026i | −0.698531 | − | 1.20989i | −0.968976 | − | 0.247155i | \(-0.920504\pi\) |
0.270445 | − | 0.962735i | \(-0.412829\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 28.3365i | − | 1.51249i | ||||||
\(352\) | −8.91534 | − | 15.4418i | −0.475189 | − | 0.823052i | ||||
\(353\) | −0.355037 | −0.0188967 | −0.00944836 | − | 0.999955i | \(-0.503008\pi\) | ||||
−0.00944836 | + | 0.999955i | \(0.503008\pi\) | |||||||
\(354\) | 28.7670 | − | 5.07239i | 1.52895 | − | 0.269595i | ||||
\(355\) | 3.23618 | 0.171758 | ||||||||
\(356\) | −24.3234 | + | 42.1294i | −1.28914 | + | 2.23285i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.30200 | + | 16.1115i | 0.491626 | + | 0.851522i | ||||
\(359\) | −2.72803 | − | 4.72508i | −0.143980 | − | 0.249380i | 0.785012 | − | 0.619480i | \(-0.212657\pi\) |
−0.928992 | + | 0.370100i | \(0.879323\pi\) | |||||||
\(360\) | −15.1373 | + | 5.50952i | −0.797805 | + | 0.290377i | ||||
\(361\) | 6.59240 | − | 11.4184i | 0.346968 | − | 0.600967i | ||||
\(362\) | 4.36231 | − | 7.55574i | 0.229278 | − | 0.397121i | ||||
\(363\) | 6.90760 | − | 1.21800i | 0.362555 | − | 0.0639283i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.61974 | + | 9.73367i | −0.294150 | + | 0.509484i | ||||
\(366\) | 7.31908 | + | 8.72254i | 0.382574 | + | 0.455934i | ||||
\(367\) | 10.9240 | 0.570226 | 0.285113 | − | 0.958494i | \(-0.407969\pi\) | ||||
0.285113 | + | 0.958494i | \(0.407969\pi\) | |||||||
\(368\) | −10.4966 | + | 18.1806i | −0.547173 | + | 0.947731i | ||||
\(369\) | 0.617211 | − | 3.50038i | 0.0321307 | − | 0.182222i | ||||
\(370\) | 10.1411 | 0.527213 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 11.9021 | − | 32.7009i | 0.617097 | − | 1.69546i | ||||
\(373\) | 1.73143 | 0.0896500 | 0.0448250 | − | 0.998995i | \(-0.485727\pi\) | ||||
0.0448250 | + | 0.998995i | \(0.485727\pi\) | |||||||
\(374\) | −8.11721 | − | 14.0594i | −0.419731 | − | 0.726995i | ||||
\(375\) | 13.8400 | − | 2.44037i | 0.714696 | − | 0.126020i | ||||
\(376\) | 3.12108 | − | 5.40587i | 0.160957 | − | 0.278787i | ||||
\(377\) | 32.9908 | 1.69911 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.1334 | −0.623251 | −0.311626 | − | 0.950205i | \(-0.600873\pi\) | ||||
−0.311626 | + | 0.950205i | \(0.600873\pi\) | |||||||
\(380\) | 4.67752 | − | 8.10170i | 0.239952 | − | 0.415608i | ||||
\(381\) | 30.1125 | − | 5.30964i | 1.54271 | − | 0.272021i | ||||
\(382\) | −7.16297 | − | 12.4066i | −0.366489 | − | 0.634778i | ||||
\(383\) | −8.71183 | −0.445154 | −0.222577 | − | 0.974915i | \(-0.571447\pi\) | ||||
−0.222577 | + | 0.974915i | \(0.571447\pi\) | |||||||
\(384\) | 7.90286 | − | 21.7129i | 0.403291 | − | 1.10803i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.2986 | 1.23677 | ||||||||
\(387\) | −0.424678 | − | 0.356347i | −0.0215876 | − | 0.0181141i | ||||
\(388\) | −27.5783 | + | 47.7670i | −1.40008 | + | 2.42500i | ||||
\(389\) | 3.64321 | 0.184718 | 0.0923590 | − | 0.995726i | \(-0.470559\pi\) | ||||
0.0923590 | + | 0.995726i | \(0.470559\pi\) | |||||||
\(390\) | −13.5192 | − | 16.1115i | −0.684571 | − | 0.815840i | ||||
\(391\) | −2.61334 | + | 4.52644i | −0.132162 | + | 0.228912i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −32.7460 | + | 5.77401i | −1.65182 | + | 0.291260i | ||||
\(394\) | −10.5334 | + | 18.2444i | −0.530667 | + | 0.919142i | ||||
\(395\) | −2.61974 | + | 4.53752i | −0.131813 | + | 0.228307i | ||||
\(396\) | −39.3298 | − | 33.0016i | −1.97640 | − | 1.65839i | ||||
\(397\) | 7.72281 | + | 13.3763i | 0.387597 | + | 0.671337i | 0.992126 | − | 0.125246i | \(-0.0399720\pi\) |
−0.604529 | + | 0.796583i | \(0.706639\pi\) | |||||||
\(398\) | −8.35117 | − | 14.4646i | −0.418606 | − | 0.725047i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.0287 | − | 24.2984i | 0.701434 | − | 1.21492i | ||||
\(401\) | 18.4219 | 0.919946 | 0.459973 | − | 0.887933i | \(-0.347859\pi\) | ||||
0.459973 | + | 0.887933i | \(0.347859\pi\) | |||||||
\(402\) | −12.7763 | + | 2.25281i | −0.637224 | + | 0.112360i | ||||
\(403\) | 24.8367 | 1.23720 | ||||||||
\(404\) | 21.4329 | + | 37.1228i | 1.06633 | + | 1.84693i | ||||
\(405\) | −6.06283 | + | 5.08732i | −0.301265 | + | 0.252791i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.83409 | + | 15.3011i | 0.437890 | + | 0.758447i | ||||
\(408\) | −5.97818 | + | 16.4249i | −0.295964 | + | 0.813154i | ||||
\(409\) | 14.3182 | + | 24.7999i | 0.707989 | + | 1.22627i | 0.965602 | + | 0.260025i | \(0.0837309\pi\) |
−0.257612 | + | 0.966248i | \(0.582936\pi\) | |||||||
\(410\) | −1.31908 | − | 2.28471i | −0.0651446 | − | 0.112834i | ||||
\(411\) | 30.9688 | − | 5.46064i | 1.52758 | − | 0.269354i | ||||
\(412\) | −14.5496 | − | 25.2007i | −0.716809 | − | 1.24155i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.17159 | + | 23.6583i | −0.205022 | + | 1.16274i | ||||
\(415\) | −0.0962667 | − | 0.166739i | −0.00472554 | − | 0.00818488i | ||||
\(416\) | −25.0651 | −1.22892 | ||||||||
\(417\) | −13.0667 | + | 35.9005i | −0.639879 | + | 1.75805i | ||||
\(418\) | 23.6878 | 1.15861 | ||||||||
\(419\) | 17.3478 | − | 30.0472i | 0.847494 | − | 1.46790i | −0.0359442 | − | 0.999354i | \(-0.511444\pi\) |
0.883438 | − | 0.468548i | \(-0.155223\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.7010 | + | 23.7308i | 0.667745 | + | 1.15657i | 0.978533 | + | 0.206090i | \(0.0660738\pi\) |
−0.310788 | + | 0.950479i | \(0.600593\pi\) | |||||||
\(422\) | 4.26604 | + | 7.38901i | 0.207668 | + | 0.359691i | ||||
\(423\) | 0.532556 | − | 3.02027i | 0.0258937 | − | 0.146851i | ||||
\(424\) | −22.2592 | + | 38.5541i | −1.08100 | + | 1.87235i | ||||
\(425\) | 3.49273 | − | 6.04958i | 0.169422 | − | 0.293448i | ||||
\(426\) | 5.52007 | − | 15.1663i | 0.267448 | − | 0.734808i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −5.26991 | + | 9.12776i | −0.254731 | + | 0.441207i | ||||
\(429\) | 12.5326 | − | 34.4329i | 0.605077 | − | 1.66244i | ||||
\(430\) | −0.411474 | −0.0198430 | ||||||||
\(431\) | −13.2961 | + | 23.0295i | −0.640449 | + | 1.10929i | 0.344883 | + | 0.938646i | \(0.387919\pi\) |
−0.985333 | + | 0.170645i | \(0.945415\pi\) | |||||||
\(432\) | 34.4929i | 1.65954i | ||||||||
\(433\) | 37.1830 | 1.78690 | 0.893451 | − | 0.449160i | \(-0.148277\pi\) | ||||
0.893451 | + | 0.449160i | \(0.148277\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.92292 | − | 7.05866i | −0.283982 | − | 0.338437i | ||||
\(436\) | 17.4611 | 0.836235 | ||||||||
\(437\) | −3.81315 | − | 6.60457i | −0.182408 | − | 0.315939i | ||||
\(438\) | 36.0308 | + | 42.9398i | 1.72162 | + | 2.05174i | ||||
\(439\) | −12.5373 | + | 21.7152i | −0.598373 | + | 1.03641i | 0.394689 | + | 0.918815i | \(0.370853\pi\) |
−0.993061 | + | 0.117597i | \(0.962481\pi\) | |||||||
\(440\) | −20.8307 | −0.993064 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.8212 | −1.08549 | ||||||||
\(443\) | −1.02229 | + | 1.77066i | −0.0485704 | + | 0.0841264i | −0.889288 | − | 0.457347i | \(-0.848800\pi\) |
0.840718 | + | 0.541473i | \(0.182133\pi\) | |||||||
\(444\) | 11.9021 | − | 32.7009i | 0.564851 | − | 1.55191i | ||||
\(445\) | 4.84864 | + | 8.39809i | 0.229848 | + | 0.398108i | ||||
\(446\) | −15.8922 | −0.752516 | ||||||||
\(447\) | −25.8516 | + | 4.55834i | −1.22274 | + | 0.215602i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.2344 | −0.482992 | −0.241496 | − | 0.970402i | \(-0.577638\pi\) | ||||
−0.241496 | + | 0.970402i | \(0.577638\pi\) | |||||||
\(450\) | 5.57532 | − | 31.6192i | 0.262823 | − | 1.49054i | ||||
\(451\) | 2.29813 | − | 3.98048i | 0.108215 | − | 0.187434i | ||||
\(452\) | 72.5836 | 3.41404 | ||||||||
\(453\) | −32.3346 | + | 5.70146i | −1.51921 | + | 0.267878i | ||||
\(454\) | 7.80200 | − | 13.5135i | 0.366166 | − | 0.634218i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.3935 | − | 19.5370i | −0.767697 | − | 0.914906i | ||||
\(457\) | 21.2973 | − | 36.8879i | 0.996244 | − | 1.72554i | 0.423129 | − | 0.906070i | \(-0.360932\pi\) |
0.573115 | − | 0.819475i | \(-0.305735\pi\) | |||||||
\(458\) | −29.6065 | + | 51.2800i | −1.38342 | + | 2.39616i | ||||
\(459\) | 8.58770i | 0.400840i | ||||||||
\(460\) | 6.13429 | + | 10.6249i | 0.286013 | + | 0.495388i | ||||
\(461\) | −0.252374 | − | 0.437124i | −0.0117542 | − | 0.0203589i | 0.860088 | − | 0.510145i | \(-0.170408\pi\) |
−0.871843 | + | 0.489786i | \(0.837075\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.34002 | + | 2.32099i | −0.0622761 | + | 0.107865i | −0.895482 | − | 0.445097i | \(-0.853169\pi\) |
0.833206 | + | 0.552962i | \(0.186503\pi\) | |||||||
\(464\) | −40.1584 | −1.86431 | ||||||||
\(465\) | −4.45899 | − | 5.31402i | −0.206781 | − | 0.246432i | ||||
\(466\) | −21.5868 | −0.999988 | ||||||||
\(467\) | 15.7083 | + | 27.2075i | 0.726892 | + | 1.25901i | 0.958191 | + | 0.286131i | \(0.0923691\pi\) |
−0.231299 | + | 0.972883i | \(0.574298\pi\) | |||||||
\(468\) | −67.8196 | + | 24.6843i | −3.13496 | + | 1.14103i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.13816 | − | 1.97134i | −0.0524992 | − | 0.0909313i | ||||
\(471\) | 20.1040 | + | 23.9590i | 0.926344 | + | 1.10397i | ||||
\(472\) | −20.3346 | − | 35.2205i | −0.935974 | − | 1.62115i | ||||
\(473\) | −0.358441 | − | 0.620838i | −0.0164811 | − | 0.0285461i | ||||
\(474\) | 16.7964 | + | 20.0171i | 0.771483 | + | 0.919418i | ||||
\(475\) | 5.09627 | + | 8.82699i | 0.233833 | + | 0.405010i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.79813 | + | 21.5403i | −0.173905 | + | 0.986262i | ||||
\(478\) | −18.4363 | − | 31.9326i | −0.843256 | − | 1.46056i | ||||
\(479\) | −16.4406 | −0.751189 | −0.375594 | − | 0.926784i | \(-0.622561\pi\) | ||||
−0.375594 | + | 0.926784i | \(0.622561\pi\) | |||||||
\(480\) | 4.50000 | + | 5.36289i | 0.205396 | + | 0.244781i | ||||
\(481\) | 24.8367 | 1.13245 | ||||||||
\(482\) | 6.84137 | − | 11.8496i | 0.311616 | − | 0.539734i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.93242 | − | 15.4714i | −0.406019 | − | 0.703246i | ||||
\(485\) | 5.49747 | + | 9.52190i | 0.249627 | + | 0.432367i | ||||
\(486\) | 13.5000 | + | 37.0909i | 0.612372 | + | 1.68248i | ||||
\(487\) | 1.48767 | − | 2.57673i | 0.0674129 | − | 0.116763i | −0.830349 | − | 0.557244i | \(-0.811859\pi\) |
0.897762 | + | 0.440481i | \(0.145192\pi\) | |||||||
\(488\) | 7.92649 | − | 13.7291i | 0.358815 | − | 0.621486i | ||||
\(489\) | −1.06670 | − | 1.27125i | −0.0482380 | − | 0.0574878i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.2430 | − | 22.9376i | 0.597650 | − | 1.03516i | −0.395517 | − | 0.918459i | \(-0.629435\pi\) |
0.993167 | − | 0.116702i | \(-0.0372321\pi\) | |||||||
\(492\) | −8.91534 | + | 1.57202i | −0.401935 | + | 0.0708719i | ||||
\(493\) | −9.99825 | −0.450298 | ||||||||
\(494\) | 16.6493 | − | 28.8374i | 0.749087 | − | 1.29746i | ||||
\(495\) | −9.61721 | + | 3.50038i | −0.432261 | + | 0.157330i | ||||
\(496\) | −30.2327 | −1.35749 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.945622 | + | 0.166739i | −0.0423744 | + | 0.00747174i | ||||
\(499\) | −13.4439 | −0.601830 | −0.300915 | − | 0.953651i | \(-0.597292\pi\) | ||||
−0.300915 | + | 0.953651i | \(0.597292\pi\) | |||||||
\(500\) | −17.8969 | − | 30.9984i | −0.800375 | − | 1.38629i | ||||
\(501\) | −11.7522 | + | 32.2889i | −0.525050 | + | 1.44256i | ||||
\(502\) | 15.2772 | − | 26.4609i | 0.681854 | − | 1.18101i | ||||
\(503\) | −22.6631 | −1.01050 | −0.505250 | − | 0.862973i | \(-0.668600\pi\) | ||||
−0.505250 | + | 0.862973i | \(0.668600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.54488 | 0.380242 | ||||||||
\(506\) | −15.5326 | + | 26.9032i | −0.690506 | + | 1.19599i | ||||
\(507\) | −18.6364 | − | 22.2100i | −0.827672 | − | 0.986381i | ||||
\(508\) | −38.9393 | − | 67.4448i | −1.72765 | − | 2.99238i | ||||
\(509\) | 9.54757 | 0.423189 | 0.211594 | − | 0.977358i | \(-0.432134\pi\) | ||||
0.211594 | + | 0.977358i | \(0.432134\pi\) | |||||||
\(510\) | 4.09714 | + | 4.88279i | 0.181425 | + | 0.216213i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −50.5553 | −2.23425 | ||||||||
\(513\) | −10.8516 | − | 6.26519i | −0.479111 | − | 0.276615i | ||||
\(514\) | −13.3773 | + | 23.1702i | −0.590049 | + | 1.02199i | ||||
\(515\) | −5.80066 | −0.255608 | ||||||||
\(516\) | −0.482926 | + | 1.32683i | −0.0212596 | + | 0.0584103i | ||||
\(517\) | 1.98293 | − | 3.43453i | 0.0872090 | − | 0.151050i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.4372 | + | 36.9183i | −0.589826 | + | 1.62053i | ||||
\(520\) | −14.6411 | + | 25.3592i | −0.642057 | + | 1.11208i | ||||
\(521\) | 1.55644 | − | 2.69583i | 0.0681887 | − | 0.118106i | −0.829915 | − | 0.557889i | \(-0.811611\pi\) |
0.898104 | + | 0.439783i | \(0.144945\pi\) | |||||||
\(522\) | −43.1832 | + | 15.7174i | −1.89008 | + | 0.687932i | ||||
\(523\) | 8.07444 | + | 13.9853i | 0.353071 | + | 0.611537i | 0.986786 | − | 0.162030i | \(-0.0518041\pi\) |
−0.633715 | + | 0.773567i | \(0.718471\pi\) | |||||||
\(524\) | 42.3448 | + | 73.3434i | 1.84984 | + | 3.20402i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 35.8965 | − | 62.1746i | 1.56516 | − | 2.71094i | ||||
\(527\) | −7.52704 | −0.327883 | ||||||||
\(528\) | −15.2554 | + | 41.9138i | −0.663905 | + | 1.82406i | ||||
\(529\) | −12.9986 | −0.565155 | ||||||||
\(530\) | 8.11721 | + | 14.0594i | 0.352589 | + | 0.610702i | ||||
\(531\) | −15.3066 | − | 12.8438i | −0.664249 | − | 0.557371i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.23055 | − | 5.59548i | −0.139931 | − | 0.242367i | ||||
\(534\) | 47.6279 | − | 8.39809i | 2.06106 | − | 0.363421i | ||||
\(535\) | 1.05051 | + | 1.81953i | 0.0454174 | + | 0.0786652i | ||||
\(536\) | 9.03121 | + | 15.6425i | 0.390089 | + | 0.675654i | ||||
\(537\) | 4.35251 | − | 11.9584i | 0.187825 | − | 0.516044i | ||||
\(538\) | −9.47431 | − | 16.4100i | −0.408466 | − | 0.707485i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 17.4572 | + | 10.0789i | 0.751240 | + | 0.433728i | ||||
\(541\) | 2.50774 | + | 4.34353i | 0.107816 | + | 0.186743i | 0.914885 | − | 0.403714i | \(-0.132281\pi\) |
−0.807069 | + | 0.590457i | \(0.798948\pi\) | |||||||
\(542\) | 34.5330 | 1.48332 | ||||||||
\(543\) | −5.87733 | + | 1.03633i | −0.252220 | + | 0.0444732i | ||||
\(544\) | 7.59627 | 0.325687 | ||||||||
\(545\) | 1.74035 | − | 3.01438i | 0.0745485 | − | 0.129122i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.23901 | − | 14.2704i | −0.352275 | − | 0.610157i | 0.634373 | − | 0.773027i | \(-0.281258\pi\) |
−0.986648 | + | 0.162870i | \(0.947925\pi\) | |||||||
\(548\) | −40.0467 | − | 69.3629i | −1.71071 | − | 2.96304i | ||||
\(549\) | 1.35251 | − | 7.67047i | 0.0577238 | − | 0.327368i | ||||
\(550\) | 20.7592 | − | 35.9561i | 0.885177 | − | 1.53317i | ||||
\(551\) | 7.29426 | − | 12.6340i | 0.310746 | − | 0.538228i | ||||
\(552\) | 32.9386 | − | 5.80796i | 1.40196 | − | 0.247203i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.78699 | − | 13.4875i | 0.330837 | − | 0.573027i | ||||
\(555\) | −4.45899 | − | 5.31402i | −0.189274 | − | 0.225567i | ||||
\(556\) | 97.3055 | 4.12667 | ||||||||
\(557\) | 17.2815 | − | 29.9325i | 0.732242 | − | 1.26828i | −0.223681 | − | 0.974662i | \(-0.571807\pi\) |
0.955923 | − | 0.293618i | \(-0.0948592\pi\) | |||||||
\(558\) | −32.5099 | + | 11.8326i | −1.37625 | + | 0.500915i | ||||
\(559\) | −1.00774 | −0.0426229 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.79813 | + | 10.4353i | −0.160357 | + | 0.440578i | ||||
\(562\) | 8.38682 | 0.353777 | ||||||||
\(563\) | 18.6052 | + | 32.2251i | 0.784115 | + | 1.35813i | 0.929526 | + | 0.368756i | \(0.120216\pi\) |
−0.145411 | + | 0.989371i | \(0.546450\pi\) | |||||||
\(564\) | −7.69253 | + | 1.35640i | −0.323914 | + | 0.0571148i | ||||
\(565\) | 7.23442 | − | 12.5304i | 0.304354 | − | 0.527157i | ||||
\(566\) | 73.4894 | 3.08899 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.4706 | −0.942845 | ||||||||
\(569\) | −0.202333 | + | 0.350452i | −0.00848226 | + | 0.0146917i | −0.870235 | − | 0.492636i | \(-0.836033\pi\) |
0.861753 | + | 0.507328i | \(0.169367\pi\) | |||||||
\(570\) | −9.15910 | + | 1.61500i | −0.383632 | + | 0.0676448i | ||||
\(571\) | 18.8897 | + | 32.7178i | 0.790507 | + | 1.36920i | 0.925653 | + | 0.378373i | \(0.123516\pi\) |
−0.135146 | + | 0.990826i | \(0.543150\pi\) | |||||||
\(572\) | −93.3278 | −3.90223 | ||||||||
\(573\) | −3.35163 | + | 9.20854i | −0.140017 | + | 0.384692i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.3669 | −0.557438 | ||||||||
\(576\) | −4.61809 | + | 1.68085i | −0.192420 | + | 0.0700353i | ||||
\(577\) | 1.10560 | − | 1.91496i | 0.0460267 | − | 0.0797206i | −0.842094 | − | 0.539330i | \(-0.818677\pi\) |
0.888121 | + | 0.459610i | \(0.152011\pi\) | |||||||
\(578\) | −36.1293 | −1.50278 | ||||||||
\(579\) | −10.6839 | − | 12.7326i | −0.444008 | − | 0.529149i | ||||
\(580\) | −11.7344 | + | 20.3246i | −0.487245 | + | 0.843934i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 54.0014 | − | 9.52190i | 2.23843 | − | 0.394696i | ||||
\(583\) | −14.1420 | + | 24.4947i | −0.585703 | + | 1.01447i | ||||
\(584\) | 39.0210 | − | 67.5864i | 1.61470 | − | 2.79674i | ||||
\(585\) | −2.49825 | + | 14.1683i | −0.103290 | + | 0.585785i | ||||
\(586\) | 10.6591 | + | 18.4621i | 0.440323 | + | 0.762662i | ||||
\(587\) | −12.1049 | − | 20.9663i | −0.499622 | − | 0.865371i | 0.500378 | − | 0.865807i | \(-0.333194\pi\) |
−1.00000 | 0.000436347i | \(0.999861\pi\) | ||||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.49138 | − | 9.51135i | 0.226268 | − | 0.391908i | ||||
\(590\) | −14.8307 | −0.610570 | ||||||||
\(591\) | 14.1917 | − | 2.50237i | 0.583767 | − | 0.102934i | ||||
\(592\) | −30.2327 | −1.24255 | ||||||||
\(593\) | −6.11927 | − | 10.5989i | −0.251288 | − | 0.435244i | 0.712592 | − | 0.701578i | \(-0.247521\pi\) |
−0.963881 | + | 0.266334i | \(0.914188\pi\) | |||||||
\(594\) | 51.0415i | 2.09426i | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.4295 | + | 57.9016i | 1.36932 | + | 2.37174i | ||||
\(597\) | −3.90760 | + | 10.7361i | −0.159928 | + | 0.439397i | ||||
\(598\) | 21.8346 | + | 37.8186i | 0.892882 | + | 1.54652i | ||||
\(599\) | −19.8084 | − | 34.3092i | −0.809349 | − | 1.40183i | −0.913315 | − | 0.407253i | \(-0.866487\pi\) |
0.103966 | − | 0.994581i | \(-0.466847\pi\) | |||||||
\(600\) | −44.0223 | + | 7.76233i | −1.79720 | + | 0.316896i | ||||
\(601\) | 15.0039 | + | 25.9875i | 0.612021 | + | 1.06005i | 0.990899 | + | 0.134605i | \(0.0429764\pi\) |
−0.378879 | + | 0.925446i | \(0.623690\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.79813 | + | 5.70431i | 0.276841 | + | 0.232298i | ||||
\(604\) | 41.8127 | + | 72.4218i | 1.70134 | + | 2.94680i | ||||
\(605\) | −3.56118 | −0.144783 | ||||||||
\(606\) | 14.5753 | − | 40.0454i | 0.592082 | − | 1.62673i | ||||
\(607\) | −19.4843 | −0.790844 | −0.395422 | − | 0.918499i | \(-0.629402\pi\) | ||||
−0.395422 | + | 0.918499i | \(0.629402\pi\) | |||||||
\(608\) | −5.54189 | + | 9.59883i | −0.224753 | + | 0.389284i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.89053 | − | 5.00654i | −0.117034 | − | 0.202709i | ||||
\(611\) | −2.78746 | − | 4.82802i | −0.112768 | − | 0.195321i | ||||
\(612\) | 20.5535 | − | 7.48086i | 0.830826 | − | 0.302396i | ||||
\(613\) | 9.26382 | − | 16.0454i | 0.374162 | − | 0.648068i | −0.616039 | − | 0.787716i | \(-0.711264\pi\) |
0.990201 | + | 0.139648i | \(0.0445970\pi\) | |||||||
\(614\) | 16.0633 | − | 27.8225i | 0.648262 | − | 1.12282i | ||||
\(615\) | −0.617211 | + | 1.69577i | −0.0248884 | + | 0.0683802i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.9201 | + | 24.1103i | −0.560402 | + | 0.970644i | 0.437059 | + | 0.899433i | \(0.356020\pi\) |
−0.997461 | + | 0.0712118i | \(0.977313\pi\) | |||||||
\(618\) | −9.89440 | + | 27.1846i | −0.398011 | + | 1.09353i | ||||
\(619\) | −44.9813 | −1.80795 | −0.903976 | − | 0.427583i | \(-0.859365\pi\) | ||||
−0.903976 | + | 0.427583i | \(0.859365\pi\) | |||||||
\(620\) | −8.83409 | + | 15.3011i | −0.354786 | + | 0.614507i | ||||
\(621\) | 14.2313 | − | 8.21643i | 0.571081 | − | 0.329714i | ||||
\(622\) | −41.7547 | −1.67421 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 40.3032 | + | 48.0315i | 1.61342 | + | 1.92280i | ||||
\(625\) | 13.9982 | 0.559930 | ||||||||
\(626\) | −36.1057 | − | 62.5368i | −1.44307 | − | 2.49947i | ||||
\(627\) | −10.4153 | − | 12.4125i | −0.415949 | − | 0.495708i | ||||
\(628\) | 39.8298 | − | 68.9873i | 1.58938 | − | 2.75289i | ||||
\(629\) | −7.52704 | −0.300123 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.43613 | 0.375646 | 0.187823 | − | 0.982203i | \(-0.439857\pi\) | ||||
0.187823 | + | 0.982203i | \(0.439857\pi\) | |||||||
\(632\) | 18.1903 | − | 31.5065i | 0.723572 | − | 1.25326i | ||||
\(633\) | 1.99613 | − | 5.48432i | 0.0793390 | − | 0.217982i | ||||
\(634\) | 32.7841 | + | 56.7836i | 1.30202 | + | 2.25517i | ||||
\(635\) | −15.5243 | −0.616065 | ||||||||
\(636\) | 54.8624 | − | 9.67372i | 2.17543 | − | 0.383588i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −59.4252 | −2.35267 | ||||||||
\(639\) | −10.3743 | + | 3.77595i | −0.410402 | + | 0.149374i | ||||
\(640\) | −5.86571 | + | 10.1597i | −0.231863 | + | 0.401598i | ||||
\(641\) | 37.3901 | 1.47682 | 0.738410 | − | 0.674352i | \(-0.235577\pi\) | ||||
0.738410 | + | 0.674352i | \(0.235577\pi\) | |||||||
\(642\) | 10.3191 | − | 1.81953i | 0.407262 | − | 0.0718112i | ||||
\(643\) | −0.805874 | + | 1.39581i | −0.0317806 | + | 0.0550456i | −0.881478 | − | 0.472225i | \(-0.843451\pi\) |
0.849698 | + | 0.527270i | \(0.176784\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.180922 | + | 0.215615i | 0.00712380 | + | 0.00848982i | ||||
\(646\) | −5.04576 | + | 8.73951i | −0.198523 | + | 0.343851i | ||||
\(647\) | 20.5881 | − | 35.6597i | 0.809402 | − | 1.40193i | −0.103876 | − | 0.994590i | \(-0.533125\pi\) |
0.913278 | − | 0.407336i | \(-0.133542\pi\) | |||||||
\(648\) | 42.0977 | − | 35.3241i | 1.65375 | − | 1.38766i | ||||
\(649\) | −12.9192 | − | 22.3767i | −0.507124 | − | 0.878364i | ||||
\(650\) | −29.1819 | − | 50.5445i | −1.14461 | − | 1.98252i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.11334 | + | 3.66041i | −0.0827648 | + | 0.143353i | ||||
\(653\) | 3.05199 | 0.119434 | 0.0597169 | − | 0.998215i | \(-0.480980\pi\) | ||||
0.0597169 | + | 0.998215i | \(0.480980\pi\) | |||||||
\(654\) | −11.1582 | − | 13.2979i | −0.436321 | − | 0.519987i | ||||
\(655\) | 16.8821 | 0.659637 | ||||||||
\(656\) | 3.93242 | + | 6.81115i | 0.153535 | + | 0.265931i | ||||
\(657\) | 6.65822 | − | 37.7607i | 0.259762 | − | 1.47318i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −20.8175 | − | 36.0569i | −0.810934 | − | 1.40458i | −0.912211 | − | 0.409721i | \(-0.865626\pi\) |
0.101277 | − | 0.994858i | \(-0.467707\pi\) | |||||||
\(660\) | 16.7554 | + | 19.9683i | 0.652202 | + | 0.777264i | ||||
\(661\) | −10.1505 | − | 17.5812i | −0.394808 | − | 0.683828i | 0.598269 | − | 0.801296i | \(-0.295856\pi\) |
−0.993077 | + | 0.117468i | \(0.962522\pi\) | |||||||
\(662\) | −10.4055 | − | 18.0229i | −0.404423 | − | 0.700481i | ||||
\(663\) | 10.0343 | + | 11.9584i | 0.389700 | + | 0.464427i | ||||
\(664\) | 0.668434 | + | 1.15776i | 0.0259403 | + | 0.0449298i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −32.5099 | + | 11.8326i | −1.25973 | + | 0.458505i | ||||
\(667\) | 9.56599 | + | 16.5688i | 0.370397 | + | 0.641546i | ||||
\(668\) | 87.5167 | 3.38612 | ||||||||
\(669\) | 6.98767 | + | 8.32759i | 0.270159 | + | 0.321963i | ||||
\(670\) | 6.58677 | 0.254469 | ||||||||
\(671\) | 5.03596 | − | 8.72254i | 0.194411 | − | 0.336730i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.415345 | + | 0.719398i | 0.0160104 | + | 0.0277307i | 0.873920 | − | 0.486071i | \(-0.161570\pi\) |
−0.857909 | + | 0.513801i | \(0.828237\pi\) | |||||||
\(674\) | −5.78746 | − | 10.0242i | −0.222924 | − | 0.386117i | ||||
\(675\) | −19.0201 | + | 10.9812i | −0.732083 | + | 0.422668i | ||||
\(676\) | −36.9222 | + | 63.9511i | −1.42008 | + | 2.45966i | ||||
\(677\) | −5.43360 | + | 9.41127i | −0.208830 | + | 0.361705i | −0.951346 | − | 0.308124i | \(-0.900299\pi\) |
0.742516 | + | 0.669828i | \(0.233632\pi\) | |||||||
\(678\) | −46.3833 | − | 55.2775i | −1.78134 | − | 2.12292i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.43717 | − | 7.68540i | 0.170158 | − | 0.294722i | ||||
\(681\) | −10.5116 | + | 1.85348i | −0.402806 | + | 0.0710255i | ||||
\(682\) | −44.7374 | −1.71308 | ||||||||
\(683\) | −16.3473 | + | 28.3143i | −0.625512 | + | 1.08342i | 0.362930 | + | 0.931817i | \(0.381777\pi\) |
−0.988442 | + | 0.151602i | \(0.951557\pi\) | |||||||
\(684\) | −5.54189 | + | 31.4296i | −0.211899 | + | 1.20174i | ||||
\(685\) | −15.9659 | −0.610024 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 39.8888 | − | 7.03347i | 1.52185 | − | 0.268344i | ||||
\(688\) | 1.22668 | 0.0467668 | ||||||||
\(689\) | 19.8799 | + | 34.4329i | 0.757362 | + | 1.31179i | ||||
\(690\) | 4.17159 | − | 11.4613i | 0.158810 | − | 0.436326i | ||||
\(691\) | −7.49912 | + | 12.9889i | −0.285280 | + | 0.494120i | −0.972677 | − | 0.232162i | \(-0.925420\pi\) |
0.687397 | + | 0.726282i | \(0.258753\pi\) | |||||||
\(692\) | 100.064 | 3.80387 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 56.8863 | 2.15937 | ||||||||
\(695\) | 9.69846 | − | 16.7982i | 0.367884 | − | 0.637193i | ||||
\(696\) | 41.1262 | + | 49.0123i | 1.55888 | + | 1.85781i | ||||
\(697\) | 0.979055 | + | 1.69577i | 0.0370844 | + | 0.0642320i | ||||
\(698\) | 66.0856 | 2.50138 | ||||||||
\(699\) | 9.49154 | + | 11.3116i | 0.359003 | + | 0.427843i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.4688 | 0.999714 | 0.499857 | − | 0.866108i | \(-0.333386\pi\) | ||||
0.499857 | + | 0.866108i | \(0.333386\pi\) | |||||||
\(702\) | 62.1378 | + | 35.8753i | 2.34524 | + | 1.35403i | ||||
\(703\) | 5.49138 | − | 9.51135i | 0.207111 | − | 0.358727i | ||||
\(704\) | −6.35504 | −0.239514 | ||||||||
\(705\) | −0.532556 | + | 1.46318i | −0.0200572 | + | 0.0551067i | ||||
\(706\) | 0.449493 | − | 0.778544i | 0.0169169 | − | 0.0293009i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −17.4060 | + | 47.8226i | −0.654158 | + | 1.79728i | ||||
\(709\) | −7.68004 | + | 13.3022i | −0.288430 | + | 0.499576i | −0.973435 | − | 0.228963i | \(-0.926467\pi\) |
0.685005 | + | 0.728538i | \(0.259800\pi\) | |||||||
\(710\) | −4.09714 | + | 7.09646i | −0.153763 | + | 0.266325i | ||||
\(711\) | 3.10385 | − | 17.6028i | 0.116403 | − | 0.660156i | ||||
\(712\) | −33.6668 | − | 58.3127i | −1.26172 | − | 2.18536i | ||||
\(713\) | 7.20162 | + | 12.4736i | 0.269703 | + | 0.467139i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.30200 | + | 16.1115i | −0.347875 | + | 0.602538i | ||||
\(716\) | −32.4124 | −1.21131 | ||||||||
\(717\) | −8.62654 | + | 23.7012i | −0.322164 | + | 0.885139i | ||||
\(718\) | 13.8152 | 0.515579 | ||||||||
\(719\) | −13.3653 | − | 23.1494i | −0.498442 | − | 0.863326i | 0.501557 | − | 0.865125i | \(-0.332761\pi\) |
−0.999998 | + | 0.00179839i | \(0.999428\pi\) | |||||||
\(720\) | 3.04101 | − | 17.2464i | 0.113332 | − | 0.642737i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.6925 | + | 28.9123i | 0.621232 | + | 1.07600i | ||||
\(723\) | −9.21735 | + | 1.62527i | −0.342797 | + | 0.0604443i | ||||
\(724\) | 7.60014 | + | 13.1638i | 0.282457 | + | 0.489230i | ||||
\(725\) | −12.7849 | − | 22.1441i | −0.474820 | − | 0.822413i | ||||
\(726\) | −6.07444 | + | 16.6894i | −0.225444 | + | 0.619402i | ||||
\(727\) | 22.8221 | + | 39.5290i | 0.846424 | + | 1.46605i | 0.884379 | + | 0.466770i | \(0.154582\pi\) |
−0.0379552 | + | 0.999279i | \(0.512084\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | −14.2297 | − | 24.6465i | −0.526664 | − | 0.912209i | ||||
\(731\) | 0.305407 | 0.0112959 | ||||||||
\(732\) | −19.5364 | + | 3.44480i | −0.722087 | + | 0.127323i | ||||
\(733\) | 5.97502 | 0.220693 | 0.110346 | − | 0.993893i | \(-0.464804\pi\) | ||||
0.110346 | + | 0.993893i | \(0.464804\pi\) | |||||||
\(734\) | −13.8302 | + | 23.9546i | −0.510483 | + | 0.884182i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.26786 | − | 12.5883i | −0.267897 | − | 0.464011i | ||||
\(737\) | 5.73783 | + | 9.93821i | 0.211356 | + | 0.366079i | ||||
\(738\) | 6.89440 | + | 5.78509i | 0.253786 | + | 0.212952i | ||||
\(739\) | 17.7981 | − | 30.8273i | 0.654715 | − | 1.13400i | −0.327250 | − | 0.944938i | \(-0.606122\pi\) |
0.981965 | − | 0.189062i | \(-0.0605447\pi\) | |||||||
\(740\) | −8.83409 | + | 15.3011i | −0.324748 | + | 0.562480i | ||||
\(741\) | −22.4315 | + | 3.95529i | −0.824043 | + | 0.145301i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.6544 | − | 25.3821i | 0.537616 | − | 0.931178i | −0.461416 | − | 0.887184i | \(-0.652658\pi\) |
0.999032 | − | 0.0439943i | \(-0.0140083\pi\) | |||||||
\(744\) | 30.9613 | + | 36.8982i | 1.13510 | + | 1.35275i | ||||
\(745\) | 13.3277 | 0.488289 | ||||||||
\(746\) | −2.19207 | + | 3.79677i | −0.0802573 | + | 0.139010i | ||||
\(747\) | 0.503155 | + | 0.422197i | 0.0184095 | + | 0.0154474i | ||||
\(748\) | 28.2841 | 1.03417 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.1707 | + | 33.4388i | −0.444412 | + | 1.22101i | ||||
\(751\) | −17.3337 | −0.632515 | −0.316258 | − | 0.948673i | \(-0.602426\pi\) | ||||
−0.316258 | + | 0.948673i | \(0.602426\pi\) | |||||||
\(752\) | 3.39306 | + | 5.87695i | 0.123732 | + | 0.214310i | ||||
\(753\) | −20.5829 | + | 3.62932i | −0.750083 | + | 0.132260i | ||||
\(754\) | −41.7679 | + | 72.3440i | −1.52110 | + | 2.63461i | ||||
\(755\) | 16.6699 | 0.606681 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.77156 | −0.100734 | −0.0503671 | − | 0.998731i | \(-0.516039\pi\) | ||||
−0.0503671 | + | 0.998731i | \(0.516039\pi\) | |||||||
\(758\) | 15.3614 | − | 26.6068i | 0.557952 | − | 0.966402i | ||||
\(759\) | 20.9270 | − | 3.68999i | 0.759600 | − | 0.133938i | ||||
\(760\) | 6.47431 | + | 11.2138i | 0.234848 | + | 0.406768i | ||||
\(761\) | 7.50744 | 0.272144 | 0.136072 | − | 0.990699i | \(-0.456552\pi\) | ||||
0.136072 | + | 0.990699i | \(0.456552\pi\) | |||||||
\(762\) | −26.4805 | + | 72.7545i | −0.959286 | + | 2.63562i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 24.9590 | 0.902987 | ||||||||
\(765\) | 0.757122 | − | 4.29385i | 0.0273738 | − | 0.155244i | ||||
\(766\) | 11.0296 | − | 19.1038i | 0.398514 | − | 0.690247i | ||||
\(767\) | −36.3218 | −1.31150 | ||||||||
\(768\) | 33.9602 | + | 40.4722i | 1.22543 | + | 1.46042i | ||||
\(769\) | −1.02182 | + | 1.76985i | −0.0368478 | + | 0.0638223i | −0.883861 | − | 0.467749i | \(-0.845065\pi\) |
0.847013 | + | 0.531572i | \(0.178398\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.0232 | − | 3.17798i | 0.649090 | − | 0.114452i | ||||
\(772\) | −21.1668 | + | 36.6620i | −0.761811 | + | 1.31950i | ||||
\(773\) | 12.4709 | − | 21.6002i | 0.448547 | − | 0.776907i | −0.549744 | − | 0.835333i | \(-0.685275\pi\) |
0.998292 | + | 0.0584263i | \(0.0186083\pi\) | |||||||
\(774\) | 1.31908 | − | 0.480105i | 0.0474133 | − | 0.0172570i | ||||
\(775\) | −9.62495 | − | 16.6709i | −0.345738 | − | 0.598837i | ||||
\(776\) | −38.1721 | − | 66.1159i | −1.37030 | − | 2.37342i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.61246 | + | 7.98902i | −0.165365 | + | 0.286420i | ||||
\(779\) | −2.85710 | −0.102366 | ||||||||
\(780\) | 36.0861 | − | 6.36295i | 1.29209 | − | 0.227830i | ||||
\(781\) | −14.2763 | −0.510847 | ||||||||
\(782\) | −6.61721 | − | 11.4613i | −0.236631 | − | 0.409857i | ||||
\(783\) | 27.2233 | + | 15.7174i | 0.972883 | + | 0.561694i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.93969 | − | 13.7520i | −0.283380 | − | 0.490828i | ||||
\(786\) | 28.7964 | − | 79.1174i | 1.02713 | − | 2.82202i | ||||
\(787\) | −3.55350 | − | 6.15484i | −0.126669 | − | 0.219396i | 0.795715 | − | 0.605671i | \(-0.207095\pi\) |
−0.922384 | + | 0.386274i | \(0.873762\pi\) | |||||||
\(788\) | −18.3516 | − | 31.7860i | −0.653750 | − | 1.13233i | ||||
\(789\) | −48.3632 | + | 8.52774i | −1.72178 | + | 0.303596i | ||||
\(790\) | −6.63341 | − | 11.4894i | −0.236006 | − | 0.408774i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 66.7777 | − | 24.3051i | 2.37284 | − | 0.863644i | ||||
\(793\) | −7.07919 | − | 12.2615i | −0.251389 | − | 0.435419i | ||||
\(794\) | −39.1097 | −1.38795 | ||||||||
\(795\) | 3.79813 | − | 10.4353i | 0.134706 | − | 0.370101i | ||||
\(796\) | 29.0993 | 1.03140 | ||||||||
\(797\) | −16.8314 | + | 29.1528i | −0.596199 | + | 1.03265i | 0.397178 | + | 0.917742i | \(0.369990\pi\) |
−0.993376 | + | 0.114905i | \(0.963344\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.844770 | + | 1.46318i | 0.0298858 | + | 0.0517638i | ||||
\(800\) | 9.71348 | + | 16.8242i | 0.343423 | + | 0.594827i | ||||
\(801\) | −25.3423 | − | 21.2647i | −0.895426 | − | 0.751352i | ||||
\(802\) | −23.3229 | + | 40.3965i | −0.823562 | + | 1.42645i | ||||
\(803\) | 24.7913 | − | 42.9398i | 0.874867 | − | 1.51531i | ||||
\(804\) | 7.73055 | − | 21.2395i | 0.272636 | − | 0.749060i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −31.4443 | + | 54.4632i | −1.10758 | + | 1.91838i | ||||
\(807\) | −4.43313 | + | 12.1799i | −0.156054 | + | 0.428754i | ||||
\(808\) | −59.3319 | −2.08729 | ||||||||
\(809\) | 6.40807 | − | 11.0991i | 0.225296 | − | 0.390224i | −0.731112 | − | 0.682257i | \(-0.760998\pi\) |
0.956408 | + | 0.292033i | \(0.0943318\pi\) | |||||||
\(810\) | −3.47993 | − | 19.7357i | −0.122272 | − | 0.693441i | ||||
\(811\) | −26.1239 | −0.917335 | −0.458667 | − | 0.888608i | \(-0.651673\pi\) | ||||
−0.458667 | + | 0.888608i | \(0.651673\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −15.1839 | − | 18.0955i | −0.532523 | − | 0.634636i | ||||
\(814\) | −44.7374 | −1.56805 | ||||||||
\(815\) | 0.421274 | + | 0.729669i | 0.0147566 | + | 0.0255592i | ||||
\(816\) | −12.2144 | − | 14.5565i | −0.427588 | − | 0.509579i | ||||
\(817\) | −0.222811 | + | 0.385920i | −0.00779518 | + | 0.0135016i | ||||
\(818\) | −72.5099 | −2.53525 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.59627 | 0.160509 | ||||||||
\(821\) | −13.8320 | + | 23.9578i | −0.482741 | + | 0.836132i | −0.999804 | − | 0.0198153i | \(-0.993692\pi\) |
0.517062 | + | 0.855948i | \(0.327026\pi\) | |||||||
\(822\) | −27.2335 | + | 74.8236i | −0.949879 | + | 2.60977i | ||||
\(823\) | −13.9162 | − | 24.1036i | −0.485089 | − | 0.840199i | 0.514764 | − | 0.857332i | \(-0.327879\pi\) |
−0.999853 | + | 0.0171330i | \(0.994546\pi\) | |||||||
\(824\) | 40.2772 | 1.40312 | ||||||||
\(825\) | −27.9688 | + | 4.93166i | −0.973750 | + | 0.171698i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.65507 | 0.161873 | 0.0809363 | − | 0.996719i | \(-0.474209\pi\) | ||||
0.0809363 | + | 0.996719i | \(0.474209\pi\) | |||||||
\(828\) | −32.0620 | − | 26.9032i | −1.11423 | − | 0.934950i | ||||
\(829\) | 4.98680 | − | 8.63738i | 0.173199 | − | 0.299989i | −0.766338 | − | 0.642438i | \(-0.777923\pi\) |
0.939536 | + | 0.342449i | \(0.111256\pi\) | |||||||
\(830\) | 0.487511 | 0.0169218 | ||||||||
\(831\) | −10.4914 | + | 1.84991i | −0.363942 | + | 0.0641728i | ||||
\(832\) | −4.46673 | + | 7.73660i | −0.154856 | + | 0.268218i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −62.1814 | − | 74.1050i | −2.15317 | − | 2.56604i | ||||
\(835\) | 8.72281 | − | 15.1084i | 0.301865 | − | 0.522846i | ||||
\(836\) | −20.6348 | + | 35.7404i | −0.713668 | + | 1.23611i | ||||
\(837\) | 20.4947 | + | 11.8326i | 0.708400 | + | 0.408995i | ||||
\(838\) | 43.9261 | + | 76.0822i | 1.51740 | + | 2.62822i | ||||
\(839\) | 3.36484 | + | 5.82807i | 0.116167 | + | 0.201207i | 0.918246 | − | 0.396011i | \(-0.129606\pi\) |
−0.802079 | + | 0.597218i | \(0.796273\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.79901 | + | 6.58008i | −0.131000 | + | 0.226899i | ||||
\(842\) | −69.3842 | −2.39114 | ||||||||
\(843\) | −3.68762 | − | 4.39474i | −0.127008 | − | 0.151363i | ||||
\(844\) | −14.8648 | −0.511669 | ||||||||
\(845\) | 7.36009 | + | 12.7480i | 0.253195 | + | 0.438546i | ||||
\(846\) | 5.94878 | + | 4.99162i | 0.204523 | + | 0.171615i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −24.1989 | − | 41.9138i | −0.830995 | − | 1.43932i | ||||
\(849\) | −32.3127 | − | 38.5088i | −1.10897 | − | 1.32162i | ||||
\(850\) | 8.84389 | + | 15.3181i | 0.303343 | + | 0.525406i | ||||
\(851\) | 7.20162 | + | 12.4736i | 0.246868 | + | 0.427588i | ||||
\(852\) | 18.0744 | + | 21.5403i | 0.619220 | + | 0.737958i | ||||
\(853\) | −2.89528 | − | 5.01477i | −0.0991324 | − | 0.171702i | 0.812193 | − | 0.583388i | \(-0.198273\pi\) |
−0.911326 | + | 0.411686i | \(0.864940\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.87346 | + | 4.08931i | 0.166669 | + | 0.139852i | ||||
\(856\) | −7.29426 | − | 12.6340i | −0.249313 | − | 0.431822i | ||||
\(857\) | −34.9077 | −1.19242 | −0.596211 | − | 0.802827i | \(-0.703328\pi\) | ||||
−0.596211 | + | 0.802827i | \(0.703328\pi\) | |||||||
\(858\) | 59.6396 | + | 71.0757i | 2.03606 | + | 2.42648i | ||||
\(859\) | −12.6149 | −0.430416 | −0.215208 | − | 0.976568i | \(-0.569043\pi\) | ||||
−0.215208 | + | 0.976568i | \(0.569043\pi\) | |||||||
\(860\) | 0.358441 | − | 0.620838i | 0.0122227 | − | 0.0211704i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −33.6668 | − | 58.3127i | −1.14670 | − | 1.98614i | ||||
\(863\) | 12.1027 | + | 20.9624i | 0.411979 | + | 0.713569i | 0.995106 | − | 0.0988119i | \(-0.0315042\pi\) |
−0.583127 | + | 0.812381i | \(0.698171\pi\) | |||||||
\(864\) | −20.6832 | − | 11.9415i | −0.703657 | − | 0.406256i | ||||
\(865\) | 9.97343 | − | 17.2745i | 0.339107 | − | 0.587350i | ||||
\(866\) | −47.0754 | + | 81.5369i | −1.59969 | + | 2.77074i | ||||
\(867\) | 15.8858 | + | 18.9319i | 0.539509 | + | 0.642962i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.5569 | − | 20.0171i | 0.392041 | − | 0.679035i | ||||
\(870\) | 22.9773 | − | 4.05152i | 0.779003 | − | 0.137359i | ||||
\(871\) | 16.1317 | 0.546600 | ||||||||
\(872\) | −12.0842 | + | 20.9305i | −0.409224 | + | 0.708797i | ||||
\(873\) | −28.7335 | − | 24.1103i | −0.972483 | − | 0.816010i | ||||
\(874\) | 19.3105 | 0.653186 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −96.1751 | + | 16.9583i | −3.24946 | + | 0.572967i | ||||
\(877\) | −1.12567 | −0.0380111 | −0.0190055 | − | 0.999819i | \(-0.506050\pi\) | ||||
−0.0190055 | + | 0.999819i | \(0.506050\pi\) | |||||||
\(878\) | −31.7456 | − | 54.9849i | −1.07136 | − | 1.85565i | ||||
\(879\) | 4.98751 | − | 13.7031i | 0.168225 | − | 0.462193i | ||||
\(880\) | 11.3229 | − | 19.6119i | 0.381697 | − | 0.661118i | ||||
\(881\) | −4.38331 | −0.147678 | −0.0738388 | − | 0.997270i | \(-0.523525\pi\) | ||||
−0.0738388 | + | 0.997270i | \(0.523525\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.88949 | −0.231850 | −0.115925 | − | 0.993258i | \(-0.536983\pi\) | ||||
−0.115925 | + | 0.993258i | \(0.536983\pi\) | |||||||
\(884\) | 19.8799 | − | 34.4329i | 0.668632 | − | 1.15810i | ||||
\(885\) | 6.52094 | + | 7.77136i | 0.219199 | + | 0.261231i | ||||
\(886\) | −2.58853 | − | 4.48346i | −0.0869632 | − | 0.150625i | ||||
\(887\) | 39.0752 | 1.31202 | 0.656009 | − | 0.754753i | \(-0.272243\pi\) | ||||
0.656009 | + | 0.754753i | \(0.272243\pi\) | |||||||
\(888\) | 30.9613 | + | 36.8982i | 1.03899 | + | 1.23822i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −24.5544 | −0.823065 | ||||||||
\(891\) | 26.7460 | − | 22.4426i | 0.896026 | − | 0.751855i | ||||
\(892\) | 13.8439 | − | 23.9783i | 0.463528 | − | 0.802854i | ||||
\(893\) | −2.46522 | −0.0824955 | ||||||||
\(894\) | 22.7335 | − | 62.4599i | 0.760323 | − | 2.08897i | ||||
\(895\) | −3.23055 | + | 5.59548i | −0.107985 | + | 0.187036i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.2166 | − | 28.0700i | 0.341123 | − | 0.937229i | ||||
\(898\) | 12.9572 | − | 22.4426i | 0.432388 | − | 0.748919i | ||||
\(899\) | −13.7761 | + | 23.8610i | −0.459460 | + | 0.795809i | ||||
\(900\) | 42.8508 | + | 35.9561i | 1.42836 | + | 1.19854i | ||||
\(901\) | −6.02481 | − | 10.4353i | −0.200716 | − | 0.347650i | ||||
\(902\) | 5.81908 | + | 10.0789i | 0.193754 | + | 0.335592i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −50.2327 | + | 87.0055i | −1.67071 | + | 2.89376i | ||||
\(905\) | 3.03003 | 0.100722 | ||||||||
\(906\) | 28.4345 | − | 78.1232i | 0.944674 | − | 2.59547i | ||||
\(907\) | 42.4938 | 1.41098 | 0.705492 | − | 0.708718i | \(-0.250726\pi\) | ||||
0.705492 | + | 0.708718i | \(0.250726\pi\) | |||||||
\(908\) | 13.5929 | + | 23.5435i | 0.451095 | + | 0.781319i | ||||
\(909\) | −27.3926 | + | 9.97011i | −0.908557 | + | 0.330688i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7.74675 | + | 13.4178i | 0.256661 | + | 0.444550i | 0.965345 | − | 0.260976i | \(-0.0840442\pi\) |
−0.708684 | + | 0.705526i | \(0.750711\pi\) | |||||||
\(912\) | 27.3050 | − | 4.81461i | 0.904159 | − | 0.159428i | ||||
\(913\) | 0.424678 | + | 0.735564i | 0.0140548 | + | 0.0243436i | ||||
\(914\) | 53.9265 | + | 93.4035i | 1.78373 | + | 3.08951i | ||||
\(915\) | −1.35251 | + | 3.71599i | −0.0447126 | + | 0.122847i | ||||
\(916\) | −51.5813 | − | 89.3414i | −1.70429 | − | 2.95192i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −18.8316 | − | 10.8724i | −0.621534 | − | 0.358843i | ||||
\(919\) | −3.26470 | − | 5.65463i | −0.107693 | − | 0.186529i | 0.807143 | − | 0.590357i | \(-0.201013\pi\) |
−0.914835 | + | 0.403828i | \(0.867680\pi\) | |||||||
\(920\) | −16.9813 | −0.559858 | ||||||||
\(921\) | −21.6420 | + | 3.81607i | −0.713129 | + | 0.125744i | ||||
\(922\) | 1.27807 | 0.0420909 | ||||||||
\(923\) | −10.0343 | + | 17.3799i | −0.330283 | + | 0.572068i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.62495 | − | 16.6709i | −0.316466 | − | 0.548136i | ||||
\(926\) | −3.39306 | − | 5.87695i | −0.111503 | − | 0.193128i | ||||
\(927\) | 18.5954 | − | 6.76817i | 0.610753 | − | 0.222296i | ||||
\(928\) | 13.9029 | − | 24.0805i | 0.456384 | − | 0.790480i | ||||
\(929\) | −29.1386 | + | 50.4696i | −0.956007 | + | 1.65585i | −0.223961 | + | 0.974598i | \(0.571899\pi\) |
−0.732046 | + | 0.681255i | \(0.761435\pi\) | |||||||
\(930\) | 17.2981 | − | 3.05013i | 0.567228 | − | 0.100018i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.8045 | − | 32.5704i | 0.615963 | − | 1.06688i | ||||
\(933\) | 18.3592 | + | 21.8797i | 0.601054 | + | 0.716308i | ||||
\(934\) | −79.5494 | −2.60294 | ||||||||
\(935\) | 2.81908 | − | 4.88279i | 0.0921937 | − | 0.159684i | ||||
\(936\) | 17.3467 | − | 98.3782i | 0.566995 | − | 3.21559i | ||||
\(937\) | 32.4175 | 1.05903 | 0.529516 | − | 0.848300i | \(-0.322374\pi\) | ||||
0.529516 | + | 0.848300i | \(0.322374\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.8942 | + | 46.4165i | −0.551323 | + | 1.51475i | ||||
\(940\) | 3.96585 | 0.129352 | ||||||||
\(941\) | 13.6613 | + | 23.6621i | 0.445346 | + | 0.771363i | 0.998076 | − | 0.0619979i | \(-0.0197472\pi\) |
−0.552730 | + | 0.833360i | \(0.686414\pi\) | |||||||
\(942\) | −77.9912 | + | 13.7520i | −2.54109 | + | 0.448063i | ||||
\(943\) | 1.87346 | − | 3.24492i | 0.0610081 | − | 0.105669i | ||||
\(944\) | 44.2131 | 1.43901 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.81521 | 0.0590175 | ||||||||
\(947\) | 19.1065 | − | 33.0935i | 0.620879 | − | 1.07539i | −0.368443 | − | 0.929650i | \(-0.620109\pi\) |
0.989322 | − | 0.145744i | \(-0.0465575\pi\) | |||||||
\(948\) | −44.8337 | + | 7.90539i | −1.45613 | + | 0.256755i | ||||
\(949\) | −34.8499 | − | 60.3618i | −1.13127 | − | 1.95943i | ||||
\(950\) | −25.8084 | −0.837335 | ||||||||
\(951\) | 15.3400 | − | 42.1464i | 0.497434 | − | 1.36669i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 58.9377 | 1.90918 | 0.954590 | − | 0.297924i | \(-0.0962943\pi\) | ||||
0.954590 | + | 0.297924i | \(0.0962943\pi\) | |||||||
\(954\) | −42.4261 | − | 35.5997i | −1.37360 | − | 1.15258i | ||||
\(955\) | 2.48767 | − | 4.30878i | 0.0804992 | − | 0.139429i | ||||
\(956\) | 64.2404 | 2.07768 | ||||||||
\(957\) | 26.1288 | + | 31.1391i | 0.844625 | + | 1.00658i | ||||
\(958\) | 20.8145 | − | 36.0518i | 0.672486 | − | 1.16478i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.45723 | − | 0.433277i | 0.0793069 | − | 0.0139839i | ||||
\(961\) | 5.12882 | − | 8.88338i | 0.165446 | − | 0.286561i | ||||
\(962\) | −31.4443 | + | 54.4632i | −1.01381 | + | 1.75596i | ||||
\(963\) | −5.49067 | − | 4.60722i | −0.176934 | − | 0.148465i | ||||
\(964\) | 11.9192 | + | 20.6447i | 0.383892 | + | 0.664921i | ||||
\(965\) | 4.21941 | + | 7.30823i | 0.135828 | + | 0.235260i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.3594 | + | 21.4071i | −0.397451 | + | 0.688405i | −0.993411 | − | 0.114609i | \(-0.963438\pi\) |
0.595960 | + | 0.803014i | \(0.296772\pi\) | |||||||
\(968\) | 24.7273 | 0.794766 | ||||||||
\(969\) | 6.79813 | − | 1.19869i | 0.218388 | − | 0.0385076i | ||||
\(970\) | −27.8402 | −0.893894 | ||||||||
\(971\) | −4.08812 | − | 7.08082i | −0.131194 | − | 0.227234i | 0.792943 | − | 0.609296i | \(-0.208548\pi\) |
−0.924137 | + | 0.382061i | \(0.875214\pi\) | |||||||
\(972\) | −67.7233 | − | 11.9415i | −2.17223 | − | 0.383022i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 3.76692 | + | 6.52450i | 0.120700 | + | 0.209058i | ||||
\(975\) | −13.6545 | + | 37.5155i | −0.437294 | + | 1.20146i | ||||
\(976\) | 8.61721 | + | 14.9254i | 0.275830 | + | 0.477752i | ||||
\(977\) | 7.92427 | + | 13.7252i | 0.253520 | + | 0.439109i | 0.964492 | − | 0.264111i | \(-0.0850784\pi\) |
−0.710973 | + | 0.703220i | \(0.751745\pi\) | |||||||
\(978\) | 4.13816 | − | 0.729669i | 0.132324 | − | 0.0233322i | ||||
\(979\) | −21.3897 | − | 37.0480i | −0.683616 | − | 1.18406i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.06196 | + | 11.6939i | −0.0658332 | + | 0.373359i | ||||
\(982\) | 33.5326 | + | 58.0801i | 1.07007 | + | 1.85341i | ||||
\(983\) | 53.3063 | 1.70021 | 0.850104 | − | 0.526615i | \(-0.176539\pi\) | ||||
0.850104 | + | 0.526615i | \(0.176539\pi\) | |||||||
\(984\) | 4.28564 | − | 11.7747i | 0.136621 | − | 0.375364i | ||||
\(985\) | −7.31645 | −0.233121 | ||||||||
\(986\) | 12.6582 | − | 21.9247i | 0.403120 | − | 0.698224i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 29.0069 | + | 50.2414i | 0.922831 | + | 1.59839i | ||||
\(989\) | −0.292204 | − | 0.506111i | −0.00929153 | − | 0.0160934i | ||||
\(990\) | 4.50000 | − | 25.5208i | 0.143019 | − | 0.811103i | ||||
\(991\) | −20.1047 | + | 34.8224i | −0.638648 | + | 1.10617i | 0.347082 | + | 0.937835i | \(0.387172\pi\) |
−0.985730 | + | 0.168335i | \(0.946161\pi\) | |||||||
\(992\) | 10.4666 | − | 18.1286i | 0.332314 | − | 0.575584i | ||||
\(993\) | −4.86887 | + | 13.3771i | −0.154509 | + | 0.424510i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.90033 | − | 5.02352i | 0.0919466 | − | 0.159256i | ||||
\(996\) | 0.572167 | − | 1.57202i | 0.0181298 | − | 0.0498112i | ||||
\(997\) | 28.7202 | 0.909577 | 0.454789 | − | 0.890599i | \(-0.349715\pi\) | ||||
0.454789 | + | 0.890599i | \(0.349715\pi\) | |||||||
\(998\) | 17.0205 | − | 29.4804i | 0.538776 | − | 0.933187i | ||||
\(999\) | 20.4947 | + | 11.8326i | 0.648424 | + | 0.374368i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))