Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(593,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.593");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.t (of order \(6\), 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: | \(9.05503558921\) |
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: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1025.3 | ||
Root | \(0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.1025 |
Dual form | 1134.2.t.e.593.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||
\(5\) | −0.717439 | −0.320848 | −0.160424 | − | 0.987048i | \(-0.551286\pi\) | ||||
−0.160424 | + | 0.987048i | \(0.551286\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | − | 2.44949i | −0.377964 | − | 0.925820i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.621320 | − | 0.358719i | −0.196479 | − | 0.113437i | ||||
\(11\) | − | 3.00000i | − | 0.904534i | −0.891883 | − | 0.452267i | \(-0.850615\pi\) | ||
0.891883 | − | 0.452267i | \(-0.149385\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.12132 | − | 1.22474i | −0.588348 | − | 0.339683i | 0.176096 | − | 0.984373i | \(-0.443653\pi\) |
−0.764444 | + | 0.644690i | \(0.776986\pi\) | |||||||
\(14\) | 0.358719 | − | 2.62132i | 0.0958718 | − | 0.700577i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 2.95680 | − | 5.12132i | 0.717128 | − | 1.24210i | −0.245005 | − | 0.969522i | \(-0.578789\pi\) |
0.962133 | − | 0.272581i | \(-0.0878772\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.12132 | + | 2.95680i | −1.17491 | + | 0.678335i | −0.954832 | − | 0.297146i | \(-0.903965\pi\) |
−0.220080 | + | 0.975482i | \(0.570632\pi\) | |||||||
\(20\) | −0.358719 | − | 0.621320i | −0.0802121 | − | 0.138931i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | − | 2.59808i | 0.319801 | − | 0.553912i | ||||
\(23\) | − | 4.24264i | − | 0.884652i | −0.896854 | − | 0.442326i | \(-0.854153\pi\) | ||
0.896854 | − | 0.442326i | \(-0.145847\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.48528 | −0.897056 | ||||||||
\(26\) | −1.22474 | − | 2.12132i | −0.240192 | − | 0.416025i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.62132 | − | 2.09077i | 0.306401 | − | 0.395118i | ||||
\(29\) | −6.27231 | + | 3.62132i | −1.16474 | + | 0.672462i | −0.952435 | − | 0.304741i | \(-0.901430\pi\) |
−0.212304 | + | 0.977204i | \(0.568097\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.86396 | − | 4.54026i | 1.41241 | − | 0.815455i | 0.416794 | − | 0.909001i | \(-0.363154\pi\) |
0.995615 | + | 0.0935461i | \(0.0298203\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.12132 | − | 2.95680i | 0.878299 | − | 0.507086i | ||||
\(35\) | 0.717439 | + | 1.75736i | 0.121269 | + | 0.297048i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.121320 | + | 0.210133i | 0.0199449 | + | 0.0345457i | 0.875826 | − | 0.482628i | \(-0.160318\pi\) |
−0.855881 | + | 0.517173i | \(0.826984\pi\) | |||||||
\(38\) | −5.91359 | −0.959311 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | − | 0.717439i | − | 0.113437i | ||||||
\(41\) | 5.91359 | − | 10.2426i | 0.923548 | − | 1.59963i | 0.129668 | − | 0.991558i | \(-0.458609\pi\) |
0.793880 | − | 0.608074i | \(-0.208058\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.121320 | + | 0.210133i | 0.0185012 | + | 0.0320450i | 0.875128 | − | 0.483892i | \(-0.160777\pi\) |
−0.856627 | + | 0.515937i | \(0.827444\pi\) | |||||||
\(44\) | 2.59808 | − | 1.50000i | 0.391675 | − | 0.226134i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.12132 | − | 3.67423i | 0.312772 | − | 0.541736i | ||||
\(47\) | 2.95680 | − | 5.12132i | 0.431293 | − | 0.747021i | −0.565692 | − | 0.824617i | \(-0.691391\pi\) |
0.996985 | + | 0.0775953i | \(0.0247242\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | + | 4.89898i | −0.714286 | + | 0.699854i | ||||
\(50\) | −3.88437 | − | 2.24264i | −0.549333 | − | 0.317157i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 2.44949i | − | 0.339683i | ||||||
\(53\) | 6.27231 | + | 3.62132i | 0.861568 | + | 0.497427i | 0.864537 | − | 0.502569i | \(-0.167612\pi\) |
−0.00296896 | + | 0.999996i | \(0.500945\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.15232i | 0.290218i | ||||||||
\(56\) | 2.44949 | − | 1.00000i | 0.327327 | − | 0.133631i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.24264 | −0.951005 | ||||||||
\(59\) | −4.03295 | − | 6.98528i | −0.525046 | − | 0.909406i | −0.999575 | − | 0.0291661i | \(-0.990715\pi\) |
0.474529 | − | 0.880240i | \(-0.342619\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.878680 | − | 0.507306i | −0.112503 | − | 0.0649539i | 0.442692 | − | 0.896674i | \(-0.354023\pi\) |
−0.555196 | + | 0.831720i | \(0.687357\pi\) | |||||||
\(62\) | 9.08052 | 1.15323 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.52192 | + | 0.878680i | 0.188771 | + | 0.108987i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | + | 8.66025i | 0.610847 | + | 1.05802i | 0.991098 | + | 0.133135i | \(0.0425044\pi\) |
−0.380251 | + | 0.924883i | \(0.624162\pi\) | |||||||
\(68\) | 5.91359 | 0.717128 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.257359 | + | 1.88064i | −0.0307603 | + | 0.224779i | ||||
\(71\) | 1.75736i | 0.208560i | 0.994548 | + | 0.104280i | \(0.0332538\pi\) | ||||
−0.994548 | + | 0.104280i | \(0.966746\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.24264 | − | 0.717439i | −0.145440 | − | 0.0839699i | 0.425514 | − | 0.904952i | \(-0.360093\pi\) |
−0.570954 | + | 0.820982i | \(0.693427\pi\) | |||||||
\(74\) | 0.242641i | 0.0282064i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.12132 | − | 2.95680i | −0.587456 | − | 0.339168i | ||||
\(77\) | −7.34847 | + | 3.00000i | −0.837436 | + | 0.341882i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.37868 | − | 2.38794i | 0.155114 | − | 0.268665i | −0.777987 | − | 0.628281i | \(-0.783759\pi\) |
0.933100 | + | 0.359616i | \(0.117092\pi\) | |||||||
\(80\) | 0.358719 | − | 0.621320i | 0.0401061 | − | 0.0694657i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.2426 | − | 5.91359i | 1.13111 | − | 0.653047i | ||||
\(83\) | 3.31552 | + | 5.74264i | 0.363925 | + | 0.630337i | 0.988603 | − | 0.150546i | \(-0.0481031\pi\) |
−0.624678 | + | 0.780882i | \(0.714770\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.12132 | + | 3.67423i | −0.230089 | + | 0.398527i | ||||
\(86\) | 0.242641i | 0.0261646i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.00000 | 0.319801 | ||||||||
\(89\) | −5.19615 | − | 9.00000i | −0.550791 | − | 0.953998i | −0.998218 | − | 0.0596775i | \(-0.980993\pi\) |
0.447427 | − | 0.894321i | \(-0.352341\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.878680 | + | 6.42090i | −0.0921107 | + | 0.673093i | ||||
\(92\) | 3.67423 | − | 2.12132i | 0.383065 | − | 0.221163i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.12132 | − | 2.95680i | 0.528224 | − | 0.304970i | ||||
\(95\) | 3.67423 | − | 2.12132i | 0.376969 | − | 0.217643i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.7426 | + | 6.77962i | −1.19228 | + | 0.688366i | −0.958824 | − | 0.284001i | \(-0.908338\pi\) |
−0.233460 | + | 0.972366i | \(0.575005\pi\) | |||||||
\(98\) | −6.77962 | + | 1.74264i | −0.684845 | + | 0.176033i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.24264 | − | 3.88437i | −0.224264 | − | 0.388437i | ||||
\(101\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 5.49333i | − | 0.541273i | −0.962682 | − | 0.270637i | \(-0.912766\pi\) | ||
0.962682 | − | 0.270637i | \(-0.0872342\pi\) | |||||||
\(104\) | 1.22474 | − | 2.12132i | 0.120096 | − | 0.208013i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.62132 | + | 6.27231i | 0.351734 | + | 0.609221i | ||||
\(107\) | 9.94655 | − | 5.74264i | 0.961569 | − | 0.555162i | 0.0649133 | − | 0.997891i | \(-0.479323\pi\) |
0.896656 | + | 0.442729i | \(0.145990\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.24264 | + | 16.0087i | −0.885284 | + | 1.53336i | −0.0398971 | + | 0.999204i | \(0.512703\pi\) |
−0.845387 | + | 0.534154i | \(0.820630\pi\) | |||||||
\(110\) | −1.07616 | + | 1.86396i | −0.102608 | + | 0.177722i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.62132 | + | 0.358719i | 0.247691 | + | 0.0338958i | ||||
\(113\) | 7.34847 | + | 4.24264i | 0.691286 | + | 0.399114i | 0.804094 | − | 0.594503i | \(-0.202651\pi\) |
−0.112808 | + | 0.993617i | \(0.535984\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.04384i | 0.283839i | ||||||||
\(116\) | −6.27231 | − | 3.62132i | −0.582369 | − | 0.336231i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 8.06591i | − | 0.742527i | ||||||
\(119\) | −15.5014 | − | 2.12132i | −1.42101 | − | 0.194461i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.00000 | 0.181818 | ||||||||
\(122\) | −0.507306 | − | 0.878680i | −0.0459293 | − | 0.0795519i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.86396 | + | 4.54026i | 0.706205 | + | 0.407727i | ||||
\(125\) | 6.80511 | 0.608668 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.24264 | 0.287738 | 0.143869 | − | 0.989597i | \(-0.454046\pi\) | ||||
0.143869 | + | 0.989597i | \(0.454046\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.878680 | + | 1.52192i | 0.0770653 | + | 0.133481i | ||||
\(131\) | −5.19615 | −0.453990 | −0.226995 | − | 0.973896i | \(-0.572890\pi\) | ||||
−0.226995 | + | 0.973896i | \(0.572890\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.3640 | + | 9.58783i | 1.07209 | + | 0.831370i | ||||
\(134\) | 10.0000i | 0.863868i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.12132 | + | 2.95680i | 0.439150 | + | 0.253543i | ||||
\(137\) | − | 2.48528i | − | 0.212332i | −0.994348 | − | 0.106166i | \(-0.966143\pi\) | ||
0.994348 | − | 0.106166i | \(-0.0338575\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.514719 | − | 0.297173i | −0.0436579 | − | 0.0252059i | 0.478012 | − | 0.878353i | \(-0.341357\pi\) |
−0.521670 | + | 0.853147i | \(0.674691\pi\) | |||||||
\(140\) | −1.16320 | + | 1.50000i | −0.0983082 | + | 0.126773i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.878680 | + | 1.52192i | −0.0737372 | + | 0.127717i | ||||
\(143\) | −3.67423 | + | 6.36396i | −0.307255 | + | 0.532181i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.50000 | − | 2.59808i | 0.373705 | − | 0.215758i | ||||
\(146\) | −0.717439 | − | 1.24264i | −0.0593757 | − | 0.102842i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.121320 | + | 0.210133i | −0.00997247 | + | 0.0172728i | ||||
\(149\) | 3.51472i | 0.287937i | 0.989582 | + | 0.143968i | \(0.0459864\pi\) | ||||
−0.989582 | + | 0.143968i | \(0.954014\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.24264 | 0.426640 | 0.213320 | − | 0.976982i | \(-0.431572\pi\) | ||||
0.213320 | + | 0.976982i | \(0.431572\pi\) | |||||||
\(152\) | −2.95680 | − | 5.12132i | −0.239828 | − | 0.415394i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.86396 | − | 1.07616i | −0.633696 | − | 0.0867193i | ||||
\(155\) | −5.64191 | + | 3.25736i | −0.453169 | + | 0.261637i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.7279 | + | 7.34847i | −1.01580 | + | 0.586472i | −0.912884 | − | 0.408219i | \(-0.866150\pi\) |
−0.102915 | + | 0.994690i | \(0.532817\pi\) | |||||||
\(158\) | 2.38794 | − | 1.37868i | 0.189975 | − | 0.109682i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.621320 | − | 0.358719i | 0.0491197 | − | 0.0283593i | ||||
\(161\) | −10.3923 | + | 4.24264i | −0.819028 | + | 0.334367i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.12132 | + | 1.94218i | 0.0878286 | + | 0.152124i | 0.906593 | − | 0.422006i | \(-0.138674\pi\) |
−0.818764 | + | 0.574130i | \(0.805341\pi\) | |||||||
\(164\) | 11.8272 | 0.923548 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.63103i | 0.514668i | ||||||||
\(167\) | −8.06591 | + | 13.9706i | −0.624159 | + | 1.08107i | 0.364544 | + | 0.931186i | \(0.381225\pi\) |
−0.988703 | + | 0.149889i | \(0.952109\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.50000 | − | 6.06218i | −0.269231 | − | 0.466321i | ||||
\(170\) | −3.67423 | + | 2.12132i | −0.281801 | + | 0.162698i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.121320 | + | 0.210133i | −0.00925059 | + | 0.0160225i | ||||
\(173\) | 10.3923 | − | 18.0000i | 0.790112 | − | 1.36851i | −0.135785 | − | 0.990738i | \(-0.543356\pi\) |
0.925897 | − | 0.377776i | \(-0.123311\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.48528 | + | 10.9867i | 0.339055 | + | 0.830513i | ||||
\(176\) | 2.59808 | + | 1.50000i | 0.195837 | + | 0.113067i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 10.3923i | − | 0.778936i | ||||||
\(179\) | −22.9369 | − | 13.2426i | −1.71439 | − | 0.989801i | −0.928420 | − | 0.371532i | \(-0.878833\pi\) |
−0.785966 | − | 0.618269i | \(-0.787834\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 11.8272i | − | 0.879108i | −0.898216 | − | 0.439554i | \(-0.855137\pi\) | ||
0.898216 | − | 0.439554i | \(-0.144863\pi\) | |||||||
\(182\) | −3.97141 | + | 5.12132i | −0.294380 | + | 0.379618i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.24264 | 0.312772 | ||||||||
\(185\) | −0.0870399 | − | 0.150758i | −0.00639930 | − | 0.0110839i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −15.3640 | − | 8.87039i | −1.12352 | − | 0.648667i | ||||
\(188\) | 5.91359 | 0.431293 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.24264 | 0.307794 | ||||||||
\(191\) | 7.34847 | + | 4.24264i | 0.531717 | + | 0.306987i | 0.741715 | − | 0.670715i | \(-0.234013\pi\) |
−0.209999 | + | 0.977702i | \(0.567346\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.74264 | − | 8.21449i | −0.341383 | − | 0.591292i | 0.643307 | − | 0.765608i | \(-0.277562\pi\) |
−0.984690 | + | 0.174316i | \(0.944229\pi\) | |||||||
\(194\) | −13.5592 | −0.973496 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.74264 | − | 1.88064i | −0.481617 | − | 0.134331i | ||||
\(197\) | 26.4853i | 1.88700i | 0.331375 | + | 0.943499i | \(0.392487\pi\) | ||||
−0.331375 | + | 0.943499i | \(0.607513\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.9706 | + | 11.5300i | 1.41568 | + | 0.817341i | 0.995915 | − | 0.0902942i | \(-0.0287807\pi\) |
0.419761 | + | 0.907635i | \(0.362114\pi\) | |||||||
\(200\) | − | 4.48528i | − | 0.317157i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 15.1427 | + | 11.7426i | 1.06281 | + | 0.824172i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.24264 | + | 7.34847i | −0.296319 | + | 0.513239i | ||||
\(206\) | 2.74666 | − | 4.75736i | 0.191369 | − | 0.331461i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.12132 | − | 1.22474i | 0.147087 | − | 0.0849208i | ||||
\(209\) | 8.87039 | + | 15.3640i | 0.613578 | + | 1.06275i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.121320 | − | 0.210133i | 0.00835204 | − | 0.0144662i | −0.861819 | − | 0.507216i | \(-0.830675\pi\) |
0.870171 | + | 0.492749i | \(0.164008\pi\) | |||||||
\(212\) | 7.24264i | 0.497427i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.4853 | 0.785118 | ||||||||
\(215\) | −0.0870399 | − | 0.150758i | −0.00593607 | − | 0.0102816i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.9853 | − | 14.7224i | −1.28880 | − | 0.999424i | ||||
\(218\) | −16.0087 | + | 9.24264i | −1.08425 | + | 0.625991i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.86396 | + | 1.07616i | −0.125668 | + | 0.0725546i | ||||
\(221\) | −12.5446 | + | 7.24264i | −0.843843 | + | 0.487193i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.86396 | + | 1.07616i | −0.124820 | + | 0.0720649i | −0.561110 | − | 0.827741i | \(-0.689626\pi\) |
0.436290 | + | 0.899806i | \(0.356292\pi\) | |||||||
\(224\) | 2.09077 | + | 1.62132i | 0.139695 | + | 0.108329i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.24264 | + | 7.34847i | 0.282216 | + | 0.488813i | ||||
\(227\) | 15.5885 | 1.03464 | 0.517321 | − | 0.855791i | \(-0.326929\pi\) | ||||
0.517321 | + | 0.855791i | \(0.326929\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 13.8564i | − | 0.915657i | −0.889041 | − | 0.457829i | \(-0.848627\pi\) | ||
0.889041 | − | 0.457829i | \(-0.151373\pi\) | |||||||
\(230\) | −1.52192 | + | 2.63604i | −0.100352 | + | 0.173815i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.62132 | − | 6.27231i | −0.237751 | − | 0.411797i | ||||
\(233\) | −16.2189 | + | 9.36396i | −1.06253 | + | 0.613453i | −0.926132 | − | 0.377200i | \(-0.876887\pi\) |
−0.136401 | + | 0.990654i | \(0.543554\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.12132 | + | 3.67423i | −0.138380 | + | 0.239681i | ||||
\(236\) | 4.03295 | − | 6.98528i | 0.262523 | − | 0.454703i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.3640 | − | 9.58783i | −0.801437 | − | 0.621486i | ||||
\(239\) | 11.0227 | + | 6.36396i | 0.712999 | + | 0.411650i | 0.812171 | − | 0.583420i | \(-0.198286\pi\) |
−0.0991712 | + | 0.995070i | \(0.531619\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 7.22538i | − | 0.465427i | −0.972545 | − | 0.232714i | \(-0.925239\pi\) | ||
0.972545 | − | 0.232714i | \(-0.0747605\pi\) | |||||||
\(242\) | 1.73205 | + | 1.00000i | 0.111340 | + | 0.0642824i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 1.01461i | − | 0.0649539i | ||||||
\(245\) | 3.58719 | − | 3.51472i | 0.229177 | − | 0.224547i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.4853 | 0.921676 | ||||||||
\(248\) | 4.54026 | + | 7.86396i | 0.288307 | + | 0.499362i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.89340 | + | 3.40256i | 0.372731 | + | 0.215196i | ||||
\(251\) | 27.4156 | 1.73046 | 0.865230 | − | 0.501375i | \(-0.167172\pi\) | ||||
0.865230 | + | 0.501375i | \(0.167172\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.7279 | −0.800198 | ||||||||
\(254\) | 2.80821 | + | 1.62132i | 0.176203 | + | 0.101731i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 4.30463 | 0.268516 | 0.134258 | − | 0.990946i | \(-0.457135\pi\) | ||||
0.134258 | + | 0.990946i | \(0.457135\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.393398 | − | 0.507306i | 0.0244446 | − | 0.0315225i | ||||
\(260\) | 1.75736i | 0.108987i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.50000 | − | 2.59808i | −0.278011 | − | 0.160510i | ||||
\(263\) | 15.2132i | 0.938086i | 0.883175 | + | 0.469043i | \(0.155401\pi\) | ||||
−0.883175 | + | 0.469043i | \(0.844599\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.50000 | − | 2.59808i | −0.276433 | − | 0.159599i | ||||
\(266\) | 5.91359 | + | 14.4853i | 0.362586 | + | 0.888150i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.00000 | + | 8.66025i | −0.305424 | + | 0.529009i | ||||
\(269\) | 6.98975 | − | 12.1066i | 0.426173 | − | 0.738153i | −0.570357 | − | 0.821397i | \(-0.693195\pi\) |
0.996529 | + | 0.0832447i | \(0.0265283\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.37868 | + | 3.10538i | −0.326732 | + | 0.188639i | −0.654389 | − | 0.756158i | \(-0.727074\pi\) |
0.327658 | + | 0.944797i | \(0.393741\pi\) | |||||||
\(272\) | 2.95680 | + | 5.12132i | 0.179282 | + | 0.310526i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.24264 | − | 2.15232i | 0.0750707 | − | 0.130026i | ||||
\(275\) | 13.4558i | 0.811418i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.9706 | 0.779326 | 0.389663 | − | 0.920958i | \(-0.372592\pi\) | ||||
0.389663 | + | 0.920958i | \(0.372592\pi\) | |||||||
\(278\) | −0.297173 | − | 0.514719i | −0.0178232 | − | 0.0308708i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.75736 | + | 0.717439i | −0.105022 | + | 0.0428752i | ||||
\(281\) | −5.19615 | + | 3.00000i | −0.309976 | + | 0.178965i | −0.646916 | − | 0.762561i | \(-0.723942\pi\) |
0.336939 | + | 0.941526i | \(0.390608\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.3640 | − | 10.6024i | 1.09162 | − | 0.630250i | 0.157616 | − | 0.987501i | \(-0.449619\pi\) |
0.934008 | + | 0.357251i | \(0.116286\pi\) | |||||||
\(284\) | −1.52192 | + | 0.878680i | −0.0903092 | + | 0.0521400i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.36396 | + | 3.67423i | −0.376309 | + | 0.217262i | ||||
\(287\) | −31.0028 | − | 4.24264i | −1.83004 | − | 0.250435i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.98528 | − | 15.5630i | −0.528546 | − | 0.915468i | ||||
\(290\) | 5.19615 | 0.305129 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 1.43488i | − | 0.0839699i | ||||||
\(293\) | −0.358719 | + | 0.621320i | −0.0209566 | + | 0.0362979i | −0.876314 | − | 0.481741i | \(-0.840005\pi\) |
0.855357 | + | 0.518039i | \(0.173338\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.89340 | + | 5.01151i | 0.168460 | + | 0.291782i | ||||
\(296\) | −0.210133 | + | 0.121320i | −0.0122137 | + | 0.00705160i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.75736 | + | 3.04384i | −0.101801 | + | 0.176325i | ||||
\(299\) | −5.19615 | + | 9.00000i | −0.300501 | + | 0.520483i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.393398 | − | 0.507306i | 0.0226751 | − | 0.0292406i | ||||
\(302\) | 4.54026 | + | 2.62132i | 0.261263 | + | 0.150840i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 5.91359i | − | 0.339168i | ||||||
\(305\) | 0.630399 | + | 0.363961i | 0.0360965 | + | 0.0208403i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.97204i | 0.569134i | 0.958656 | + | 0.284567i | \(0.0918499\pi\) | ||||
−0.958656 | + | 0.284567i | \(0.908150\pi\) | |||||||
\(308\) | −6.27231 | − | 4.86396i | −0.357398 | − | 0.277150i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.51472 | −0.370011 | ||||||||
\(311\) | 4.47871 | + | 7.75736i | 0.253965 | + | 0.439879i | 0.964614 | − | 0.263667i | \(-0.0849320\pi\) |
−0.710649 | + | 0.703547i | \(0.751599\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.9853 | − | 9.22911i | −0.903542 | − | 0.521660i | −0.0251940 | − | 0.999683i | \(-0.508020\pi\) |
−0.878348 | + | 0.478023i | \(0.841354\pi\) | |||||||
\(314\) | −14.6969 | −0.829396 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.75736 | 0.155114 | ||||||||
\(317\) | 1.07616 | + | 0.621320i | 0.0604431 | + | 0.0348968i | 0.529917 | − | 0.848050i | \(-0.322223\pi\) |
−0.469474 | + | 0.882946i | \(0.655556\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.8640 | + | 18.8169i | 0.608265 | + | 1.05355i | ||||
\(320\) | 0.717439 | 0.0401061 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −11.1213 | − | 1.52192i | −0.619767 | − | 0.0848132i | ||||
\(323\) | 34.9706i | 1.94581i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.51472 | + | 5.49333i | 0.527782 | + | 0.304715i | ||||
\(326\) | 2.24264i | 0.124208i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.2426 | + | 5.91359i | 0.565555 | + | 0.326523i | ||||
\(329\) | −15.5014 | − | 2.12132i | −0.854621 | − | 0.116952i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.7279 | − | 28.9736i | 0.919450 | − | 1.59253i | 0.119197 | − | 0.992871i | \(-0.461968\pi\) |
0.800253 | − | 0.599663i | \(-0.204699\pi\) | |||||||
\(332\) | −3.31552 | + | 5.74264i | −0.181963 | + | 0.315168i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.9706 | + | 8.06591i | −0.764435 | + | 0.441347i | ||||
\(335\) | −3.58719 | − | 6.21320i | −0.195989 | − | 0.339464i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.50000 | − | 4.33013i | 0.136184 | − | 0.235877i | −0.789865 | − | 0.613280i | \(-0.789850\pi\) |
0.926049 | + | 0.377403i | \(0.123183\pi\) | |||||||
\(338\) | − | 7.00000i | − | 0.380750i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.24264 | −0.230089 | ||||||||
\(341\) | −13.6208 | − | 23.5919i | −0.737607 | − | 1.27757i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | −0.210133 | + | 0.121320i | −0.0113296 | + | 0.00654115i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.0000 | − | 10.3923i | 0.967686 | − | 0.558694i | ||||
\(347\) | 2.15232 | − | 1.24264i | 0.115542 | − | 0.0667084i | −0.441115 | − | 0.897451i | \(-0.645417\pi\) |
0.556657 | + | 0.830742i | \(0.312084\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.97056 | − | 1.13770i | 0.105482 | − | 0.0608999i | −0.446331 | − | 0.894868i | \(-0.647270\pi\) |
0.551813 | + | 0.833968i | \(0.313936\pi\) | |||||||
\(350\) | −1.60896 | + | 11.7574i | −0.0860024 | + | 0.628457i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.50000 | + | 2.59808i | 0.0799503 | + | 0.138478i | ||||
\(353\) | −8.95743 | −0.476756 | −0.238378 | − | 0.971172i | \(-0.576616\pi\) | ||||
−0.238378 | + | 0.971172i | \(0.576616\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 1.26080i | − | 0.0669162i | ||||||
\(356\) | 5.19615 | − | 9.00000i | 0.275396 | − | 0.476999i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.2426 | − | 22.9369i | −0.699895 | − | 1.21225i | ||||
\(359\) | 15.5885 | − | 9.00000i | 0.822727 | − | 0.475002i | −0.0286287 | − | 0.999590i | \(-0.509114\pi\) |
0.851356 | + | 0.524588i | \(0.175781\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.98528 | − | 13.8309i | 0.420278 | − | 0.727943i | ||||
\(362\) | 5.91359 | − | 10.2426i | 0.310811 | − | 0.538341i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.00000 | + | 2.44949i | −0.314485 | + | 0.128388i | ||||
\(365\) | 0.891519 | + | 0.514719i | 0.0466642 | + | 0.0269416i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.4144i | 0.804624i | 0.915503 | + | 0.402312i | \(0.131793\pi\) | ||||
−0.915503 | + | 0.402312i | \(0.868207\pi\) | |||||||
\(368\) | 3.67423 | + | 2.12132i | 0.191533 | + | 0.110581i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 0.174080i | − | 0.00904998i | ||||||
\(371\) | 2.59808 | − | 18.9853i | 0.134885 | − | 0.985667i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −29.4558 | −1.52517 | −0.762583 | − | 0.646891i | \(-0.776069\pi\) | ||||
−0.762583 | + | 0.646891i | \(0.776069\pi\) | |||||||
\(374\) | −8.87039 | − | 15.3640i | −0.458677 | − | 0.794452i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.12132 | + | 2.95680i | 0.264112 | + | 0.152485i | ||||
\(377\) | 17.7408 | 0.913696 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.4853 | 0.641326 | 0.320663 | − | 0.947193i | \(-0.396094\pi\) | ||||
0.320663 | + | 0.947193i | \(0.396094\pi\) | |||||||
\(380\) | 3.67423 | + | 2.12132i | 0.188484 | + | 0.108821i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.24264 | + | 7.34847i | 0.217072 | + | 0.375980i | ||||
\(383\) | −22.2195 | −1.13536 | −0.567681 | − | 0.823248i | \(-0.692159\pi\) | ||||
−0.567681 | + | 0.823248i | \(0.692159\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.27208 | − | 2.15232i | 0.268690 | − | 0.109692i | ||||
\(386\) | − | 9.48528i | − | 0.482788i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −11.7426 | − | 6.77962i | −0.596142 | − | 0.344183i | ||||
\(389\) | − | 31.4558i | − | 1.59487i | −0.603402 | − | 0.797437i | \(-0.706188\pi\) | ||
0.603402 | − | 0.797437i | \(-0.293812\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.7279 | − | 12.5446i | −1.09883 | − | 0.634409i | ||||
\(392\) | −4.89898 | − | 5.00000i | −0.247436 | − | 0.252538i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −13.2426 | + | 22.9369i | −0.667155 | + | 1.15555i | ||||
\(395\) | −0.989118 | + | 1.71320i | −0.0497680 | + | 0.0862006i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.0000 | − | 6.92820i | 0.602263 | − | 0.347717i | −0.167668 | − | 0.985843i | \(-0.553624\pi\) |
0.769931 | + | 0.638127i | \(0.220290\pi\) | |||||||
\(398\) | 11.5300 | + | 19.9706i | 0.577947 | + | 1.00103i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.24264 | − | 3.88437i | 0.112132 | − | 0.194218i | ||||
\(401\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.2426 | −1.10798 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.24264 | + | 17.7408i | 0.359446 | + | 0.880460i | ||||
\(407\) | 0.630399 | − | 0.363961i | 0.0312477 | − | 0.0180409i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.9853 | + | 7.49706i | −0.642081 | + | 0.370706i | −0.785416 | − | 0.618969i | \(-0.787551\pi\) |
0.143335 | + | 0.989674i | \(0.454217\pi\) | |||||||
\(410\) | −7.34847 | + | 4.24264i | −0.362915 | + | 0.209529i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.75736 | − | 2.74666i | 0.234378 | − | 0.135318i | ||||
\(413\) | −13.0774 | + | 16.8640i | −0.643498 | + | 0.829821i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.37868 | − | 4.11999i | −0.116765 | − | 0.202243i | ||||
\(416\) | 2.44949 | 0.120096 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 17.7408i | 0.867730i | ||||||||
\(419\) | 11.8272 | − | 20.4853i | 0.577796 | − | 1.00077i | −0.417936 | − | 0.908476i | \(-0.637246\pi\) |
0.995732 | − | 0.0922950i | \(-0.0294203\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.12132 | + | 12.3345i | 0.347072 | + | 0.601146i | 0.985728 | − | 0.168346i | \(-0.0538426\pi\) |
−0.638656 | + | 0.769492i | \(0.720509\pi\) | |||||||
\(422\) | 0.210133 | − | 0.121320i | 0.0102291 | − | 0.00590578i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.62132 | + | 6.27231i | −0.175867 | + | 0.304610i | ||||
\(425\) | −13.2621 | + | 22.9706i | −0.643304 | + | 1.11424i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.363961 | + | 2.65962i | −0.0176133 | + | 0.128708i | ||||
\(428\) | 9.94655 | + | 5.74264i | 0.480784 | + | 0.277581i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 0.174080i | − | 0.00839488i | ||||||
\(431\) | 3.04384 | + | 1.75736i | 0.146616 | + | 0.0846490i | 0.571514 | − | 0.820593i | \(-0.306356\pi\) |
−0.424897 | + | 0.905242i | \(0.639690\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.46410i | 0.166474i | 0.996530 | + | 0.0832370i | \(0.0265259\pi\) | ||||
−0.996530 | + | 0.0832370i | \(0.973474\pi\) | |||||||
\(434\) | −9.08052 | − | 22.2426i | −0.435879 | − | 1.06768i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.4853 | −0.885284 | ||||||||
\(437\) | 12.5446 | + | 21.7279i | 0.600091 | + | 1.03939i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.5919 | + | 8.42463i | 0.696433 | + | 0.402086i | 0.806017 | − | 0.591892i | \(-0.201619\pi\) |
−0.109585 | + | 0.993977i | \(0.534952\pi\) | |||||||
\(440\) | −2.15232 | −0.102608 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.4853 | −0.688995 | ||||||||
\(443\) | −14.2512 | − | 8.22792i | −0.677094 | − | 0.390920i | 0.121665 | − | 0.992571i | \(-0.461177\pi\) |
−0.798759 | + | 0.601651i | \(0.794510\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.72792 | + | 6.45695i | 0.176720 | + | 0.306089i | ||||
\(446\) | −2.15232 | −0.101915 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.00000 | + | 2.44949i | 0.0472456 | + | 0.115728i | ||||
\(449\) | 1.75736i | 0.0829349i | 0.999140 | + | 0.0414675i | \(0.0132033\pi\) | ||||
−0.999140 | + | 0.0414675i | \(0.986797\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −30.7279 | − | 17.7408i | −1.44692 | − | 0.835380i | ||||
\(452\) | 8.48528i | 0.399114i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.5000 | + | 7.79423i | 0.633586 | + | 0.365801i | ||||
\(455\) | 0.630399 | − | 4.60660i | 0.0295536 | − | 0.215961i | ||||
\(456\) | 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 | ||||||||
\(460\) | −2.63604 | + | 1.52192i | −0.122906 | + | 0.0709598i | ||||
\(461\) | 16.3059 | + | 28.2426i | 0.759441 | + | 1.31539i | 0.943136 | + | 0.332408i | \(0.107861\pi\) |
−0.183695 | + | 0.982983i | \(0.558806\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.7279 | − | 25.5095i | 0.684465 | − | 1.18553i | −0.289140 | − | 0.957287i | \(-0.593369\pi\) |
0.973605 | − | 0.228241i | \(-0.0732973\pi\) | |||||||
\(464\) | − | 7.24264i | − | 0.336231i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −18.7279 | −0.867554 | ||||||||
\(467\) | −19.8931 | − | 34.4558i | −0.920542 | − | 1.59443i | −0.798578 | − | 0.601892i | \(-0.794414\pi\) |
−0.121965 | − | 0.992534i | \(-0.538920\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.2132 | − | 20.9077i | 0.748656 | − | 0.965428i | ||||
\(470\) | −3.67423 | + | 2.12132i | −0.169480 | + | 0.0978492i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.98528 | − | 4.03295i | 0.321524 | − | 0.185632i | ||||
\(473\) | 0.630399 | − | 0.363961i | 0.0289858 | − | 0.0167349i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 22.9706 | − | 13.2621i | 1.05396 | − | 0.608505i | ||||
\(476\) | −5.91359 | − | 14.4853i | −0.271049 | − | 0.663932i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.36396 | + | 11.0227i | 0.291081 | + | 0.504167i | ||||
\(479\) | 12.0013 | 0.548352 | 0.274176 | − | 0.961680i | \(-0.411595\pi\) | ||||
0.274176 | + | 0.961680i | \(0.411595\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 0.594346i | − | 0.0270998i | ||||||
\(482\) | 3.61269 | − | 6.25736i | 0.164553 | − | 0.285015i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | + | 1.73205i | 0.0454545 | + | 0.0787296i | ||||
\(485\) | 8.42463 | − | 4.86396i | 0.382543 | − | 0.220861i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.10660 | − | 12.3090i | 0.322031 | − | 0.557774i | −0.658876 | − | 0.752251i | \(-0.728968\pi\) |
0.980907 | + | 0.194478i | \(0.0623012\pi\) | |||||||
\(488\) | 0.507306 | − | 0.878680i | 0.0229647 | − | 0.0397760i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.86396 | − | 1.25024i | 0.219731 | − | 0.0564800i | ||||
\(491\) | −12.0989 | − | 6.98528i | −0.546014 | − | 0.315241i | 0.201499 | − | 0.979489i | \(-0.435419\pi\) |
−0.747513 | + | 0.664247i | \(0.768752\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 42.8300i | 1.92897i | ||||||||
\(494\) | 12.5446 | + | 7.24264i | 0.564409 | + | 0.325862i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9.08052i | 0.407727i | ||||||||
\(497\) | 4.30463 | − | 1.75736i | 0.193089 | − | 0.0788283i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.9411 | 1.42988 | 0.714941 | − | 0.699185i | \(-0.246454\pi\) | ||||
0.714941 | + | 0.699185i | \(0.246454\pi\) | |||||||
\(500\) | 3.40256 | + | 5.89340i | 0.152167 | + | 0.263561i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 23.7426 | + | 13.7078i | 1.05969 | + | 0.611810i | ||||
\(503\) | 31.0028 | 1.38235 | 0.691174 | − | 0.722688i | \(-0.257094\pi\) | ||||
0.691174 | + | 0.722688i | \(0.257094\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −11.0227 | − | 6.36396i | −0.490019 | − | 0.282913i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.62132 | + | 2.80821i | 0.0719345 | + | 0.124594i | ||||
\(509\) | 17.1974 | 0.762262 | 0.381131 | − | 0.924521i | \(-0.375535\pi\) | ||||
0.381131 | + | 0.924521i | \(0.375535\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.514719 | + | 3.76127i | −0.0227698 | + | 0.166389i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.72792 | + | 2.15232i | 0.164432 | + | 0.0949346i | ||||
\(515\) | 3.94113i | 0.173667i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.3640 | − | 8.87039i | −0.675706 | − | 0.390119i | ||||
\(518\) | 0.594346 | − | 0.242641i | 0.0261141 | − | 0.0106610i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.878680 | + | 1.52192i | −0.0385327 | + | 0.0667405i | ||||
\(521\) | 16.9363 | − | 29.3345i | 0.741993 | − | 1.28517i | −0.209594 | − | 0.977788i | \(-0.567214\pi\) |
0.951587 | − | 0.307380i | \(-0.0994524\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.84924 | − | 3.37706i | 0.255770 | − | 0.147669i | −0.366634 | − | 0.930365i | \(-0.619490\pi\) |
0.622403 | + | 0.782697i | \(0.286156\pi\) | |||||||
\(524\) | −2.59808 | − | 4.50000i | −0.113497 | − | 0.196583i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.60660 | + | 13.1750i | −0.331664 | + | 0.574458i | ||||
\(527\) | − | 53.6985i | − | 2.33914i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.00000 | 0.217391 | ||||||||
\(530\) | −2.59808 | − | 4.50000i | −0.112853 | − | 0.195468i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.12132 | + | 15.5014i | −0.0919709 | + | 0.672072i | ||||
\(533\) | −25.0892 | + | 14.4853i | −1.08674 | + | 0.627427i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.13604 | + | 4.11999i | −0.308518 | + | 0.178123i | ||||
\(536\) | −8.66025 | + | 5.00000i | −0.374066 | + | 0.215967i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.1066 | − | 6.98975i | 0.521953 | − | 0.301350i | ||||
\(539\) | 14.6969 | + | 15.0000i | 0.633042 | + | 0.646096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.36396 | − | 12.7548i | −0.316601 | − | 0.548370i | 0.663175 | − | 0.748464i | \(-0.269208\pi\) |
−0.979777 | + | 0.200094i | \(0.935875\pi\) | |||||||
\(542\) | −6.21076 | −0.266775 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.91359i | 0.253543i | ||||||||
\(545\) | 6.63103 | − | 11.4853i | 0.284042 | − | 0.491975i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.8492 | + | 34.3799i | 0.848692 | + | 1.46998i | 0.882376 | + | 0.470546i | \(0.155943\pi\) |
−0.0336833 | + | 0.999433i | \(0.510724\pi\) | |||||||
\(548\) | 2.15232 | − | 1.24264i | 0.0919424 | − | 0.0530830i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.72792 | + | 11.6531i | −0.286880 | + | 0.496890i | ||||
\(551\) | 21.4150 | − | 37.0919i | 0.912310 | − | 1.58017i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.22792 | − | 0.989118i | −0.307363 | − | 0.0420616i | ||||
\(554\) | 11.2328 | + | 6.48528i | 0.477238 | + | 0.275533i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 0.594346i | − | 0.0252059i | ||||||
\(557\) | −8.42463 | − | 4.86396i | −0.356963 | − | 0.206093i | 0.310785 | − | 0.950480i | \(-0.399408\pi\) |
−0.667748 | + | 0.744388i | \(0.732741\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 0.594346i | − | 0.0251382i | ||||||
\(560\) | −1.88064 | − | 0.257359i | −0.0794714 | − | 0.0108754i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.00000 | −0.253095 | ||||||||
\(563\) | −17.2950 | − | 29.9558i | −0.728898 | − | 1.26249i | −0.957349 | − | 0.288933i | \(-0.906700\pi\) |
0.228451 | − | 0.973555i | \(-0.426634\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.27208 | − | 3.04384i | −0.221798 | − | 0.128055i | ||||
\(566\) | 21.2049 | 0.891307 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.75736 | −0.0737372 | ||||||||
\(569\) | −8.87039 | − | 5.12132i | −0.371866 | − | 0.214697i | 0.302407 | − | 0.953179i | \(-0.402210\pi\) |
−0.674273 | + | 0.738482i | \(0.735543\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.36396 | − | 7.55860i | −0.182626 | − | 0.316318i | 0.760148 | − | 0.649750i | \(-0.225126\pi\) |
−0.942774 | + | 0.333432i | \(0.891793\pi\) | |||||||
\(572\) | −7.34847 | −0.307255 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −24.7279 | − | 19.1757i | −1.03212 | − | 0.800376i | ||||
\(575\) | 19.0294i | 0.793582i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.25736 | + | 5.34474i | 0.385389 | + | 0.222504i | 0.680160 | − | 0.733063i | \(-0.261910\pi\) |
−0.294771 | + | 0.955568i | \(0.595243\pi\) | |||||||
\(578\) | − | 17.9706i | − | 0.747477i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.50000 | + | 2.59808i | 0.186852 | + | 0.107879i | ||||
\(581\) | 10.7510 | − | 13.8640i | 0.446028 | − | 0.575174i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.8640 | − | 18.8169i | 0.449939 | − | 0.779318i | ||||
\(584\) | 0.717439 | − | 1.24264i | 0.0296878 | − | 0.0514208i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.621320 | + | 0.358719i | −0.0256665 | + | 0.0148186i | ||||
\(587\) | 2.59808 | + | 4.50000i | 0.107234 | + | 0.185735i | 0.914649 | − | 0.404249i | \(-0.132467\pi\) |
−0.807415 | + | 0.589984i | \(0.799134\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −26.8492 | + | 46.5043i | −1.10630 | + | 1.91617i | ||||
\(590\) | 5.78680i | 0.238239i | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.242641 | −0.00997247 | ||||||||
\(593\) | 11.7401 | + | 20.3345i | 0.482110 | + | 0.835039i | 0.999789 | − | 0.0205360i | \(-0.00653726\pi\) |
−0.517679 | + | 0.855575i | \(0.673204\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.1213 | + | 1.52192i | 0.455930 | + | 0.0623925i | ||||
\(596\) | −3.04384 | + | 1.75736i | −0.124680 | + | 0.0719842i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.00000 | + | 5.19615i | −0.368037 | + | 0.212486i | ||||
\(599\) | −6.45695 | + | 3.72792i | −0.263824 | + | 0.152319i | −0.626078 | − | 0.779761i | \(-0.715341\pi\) |
0.362254 | + | 0.932079i | \(0.382007\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.2279 | + | 11.6786i | −0.825114 | + | 0.476380i | −0.852177 | − | 0.523254i | \(-0.824718\pi\) |
0.0270627 | + | 0.999634i | \(0.491385\pi\) | |||||||
\(602\) | 0.594346 | − | 0.242641i | 0.0242237 | − | 0.00988930i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.62132 | + | 4.54026i | 0.106660 | + | 0.184741i | ||||
\(605\) | −1.43488 | −0.0583361 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 20.0672i | − | 0.814501i | −0.913316 | − | 0.407251i | \(-0.866488\pi\) | ||
0.913316 | − | 0.407251i | \(-0.133512\pi\) | |||||||
\(608\) | 2.95680 | − | 5.12132i | 0.119914 | − | 0.207697i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.363961 | + | 0.630399i | 0.0147364 | + | 0.0255241i | ||||
\(611\) | −12.5446 | + | 7.24264i | −0.507501 | + | 0.293006i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.6066 | − | 32.2276i | 0.751514 | − | 1.30166i | −0.195575 | − | 0.980689i | \(-0.562657\pi\) |
0.947089 | − | 0.320971i | \(-0.104009\pi\) | |||||||
\(614\) | −4.98602 | + | 8.63604i | −0.201219 | + | 0.348522i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.00000 | − | 7.34847i | −0.120873 | − | 0.296078i | ||||
\(617\) | −15.3273 | − | 8.84924i | −0.617055 | − | 0.356257i | 0.158666 | − | 0.987332i | \(-0.449281\pi\) |
−0.775722 | + | 0.631075i | \(0.782614\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 6.15978i | − | 0.247582i | −0.992308 | − | 0.123791i | \(-0.960495\pi\) | ||
0.992308 | − | 0.123791i | \(-0.0395053\pi\) | |||||||
\(620\) | −5.64191 | − | 3.25736i | −0.226585 | − | 0.130819i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.95743i | 0.359160i | ||||||||
\(623\) | −16.8493 | + | 21.7279i | −0.675051 | + | 0.870511i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.5442 | 0.701766 | ||||||||
\(626\) | −9.22911 | − | 15.9853i | −0.368869 | − | 0.638900i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.7279 | − | 7.34847i | −0.507899 | − | 0.293236i | ||||
\(629\) | 1.43488 | 0.0572123 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.7574 | 0.985575 | 0.492787 | − | 0.870150i | \(-0.335978\pi\) | ||||
0.492787 | + | 0.870150i | \(0.335978\pi\) | |||||||
\(632\) | 2.38794 | + | 1.37868i | 0.0949873 | + | 0.0548409i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.621320 | + | 1.07616i | 0.0246758 | + | 0.0427397i | ||||
\(635\) | −2.32640 | −0.0923202 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.6066 | − | 4.26858i | 0.657978 | − | 0.169127i | ||||
\(638\) | 21.7279i | 0.860217i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.621320 | + | 0.358719i | 0.0245598 | + | 0.0141796i | ||||
\(641\) | − | 17.6985i | − | 0.699048i | −0.936927 | − | 0.349524i | \(-0.886343\pi\) | ||
0.936927 | − | 0.349524i | \(-0.113657\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.7279 | + | 16.0087i | 1.09348 | + | 0.631322i | 0.934501 | − | 0.355959i | \(-0.115846\pi\) |
0.158981 | + | 0.987282i | \(0.449179\pi\) | |||||||
\(644\) | −8.87039 | − | 6.87868i | −0.349542 | − | 0.271058i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.4853 | + | 30.2854i | −0.687949 | + | 1.19156i | ||||
\(647\) | 16.2189 | − | 28.0919i | 0.637629 | − | 1.10441i | −0.348323 | − | 0.937375i | \(-0.613249\pi\) |
0.985952 | − | 0.167031i | \(-0.0534180\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −20.9558 | + | 12.0989i | −0.822589 | + | 0.474922i | ||||
\(650\) | 5.49333 | + | 9.51472i | 0.215466 | + | 0.373198i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.12132 | + | 1.94218i | −0.0439143 | + | 0.0760618i | ||||
\(653\) | − | 19.2426i | − | 0.753023i | −0.926412 | − | 0.376511i | \(-0.877124\pi\) | ||
0.926412 | − | 0.376511i | \(-0.122876\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.72792 | 0.145662 | ||||||||
\(656\) | 5.91359 | + | 10.2426i | 0.230887 | + | 0.399908i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.3640 | − | 9.58783i | −0.481997 | − | 0.373772i | ||||
\(659\) | −5.19615 | + | 3.00000i | −0.202413 | + | 0.116863i | −0.597781 | − | 0.801660i | \(-0.703951\pi\) |
0.395367 | + | 0.918523i | \(0.370617\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −30.8787 | + | 17.8278i | −1.20104 | + | 0.693422i | −0.960787 | − | 0.277288i | \(-0.910564\pi\) |
−0.240255 | + | 0.970710i | \(0.577231\pi\) | |||||||
\(662\) | 28.9736 | − | 16.7279i | 1.12609 | − | 0.650149i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.74264 | + | 3.31552i | −0.222858 | + | 0.128667i | ||||
\(665\) | −8.87039 | − | 6.87868i | −0.343979 | − | 0.266744i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.3640 | + | 26.6112i | 0.594895 | + | 1.03039i | ||||
\(668\) | −16.1318 | −0.624159 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 7.17439i | − | 0.277171i | ||||||
\(671\) | −1.52192 | + | 2.63604i | −0.0587530 | + | 0.101763i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.98528 | − | 15.5630i | −0.346357 | − | 0.599908i | 0.639242 | − | 0.769005i | \(-0.279248\pi\) |
−0.985599 | + | 0.169097i | \(0.945915\pi\) | |||||||
\(674\) | 4.33013 | − | 2.50000i | 0.166790 | − | 0.0962964i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.50000 | − | 6.06218i | 0.134615 | − | 0.233161i | ||||
\(677\) | −1.07616 | + | 1.86396i | −0.0413601 | + | 0.0716378i | −0.885964 | − | 0.463753i | \(-0.846502\pi\) |
0.844604 | + | 0.535391i | \(0.179836\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.3492 | + | 21.9839i | 1.08794 | + | 0.843663i | ||||
\(680\) | −3.67423 | − | 2.12132i | −0.140900 | − | 0.0813489i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 27.2416i | − | 1.04313i | ||||||
\(683\) | 6.90271 | + | 3.98528i | 0.264125 | + | 0.152493i | 0.626215 | − | 0.779651i | \(-0.284603\pi\) |
−0.362090 | + | 0.932143i | \(0.617937\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.78304i | 0.0681264i | ||||||||
\(686\) | 11.0482 | + | 14.8640i | 0.421822 | + | 0.567509i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.242641 | −0.00925059 | ||||||||
\(689\) | −8.87039 | − | 15.3640i | −0.337935 | − | 0.585320i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −24.7279 | − | 14.2767i | −0.940694 | − | 0.543110i | −0.0505165 | − | 0.998723i | \(-0.516087\pi\) |
−0.890178 | + | 0.455613i | \(0.849420\pi\) | |||||||
\(692\) | 20.7846 | 0.790112 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.48528 | 0.0943400 | ||||||||
\(695\) | 0.369279 | + | 0.213203i | 0.0140076 | + | 0.00808727i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −34.9706 | − | 60.5708i | −1.32460 | − | 2.29428i | ||||
\(698\) | 2.27541 | 0.0861255 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.27208 | + | 9.37769i | −0.274859 | + | 0.354443i | ||||
\(701\) | − | 20.6985i | − | 0.781771i | −0.920439 | − | 0.390885i | \(-0.872169\pi\) | ||
0.920439 | − | 0.390885i | \(-0.127831\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.24264 | − | 0.717439i | −0.0468671 | − | 0.0270587i | ||||
\(704\) | 3.00000i | 0.113067i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.75736 | − | 4.47871i | −0.291952 | − | 0.168559i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.4853 | + | 23.3572i | −0.506450 | + | 0.877198i | 0.493522 | + | 0.869733i | \(0.335709\pi\) |
−0.999972 | + | 0.00746433i | \(0.997624\pi\) | |||||||
\(710\) | 0.630399 | − | 1.09188i | 0.0236585 | − | 0.0409776i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | − | 5.19615i | 0.337289 | − | 0.194734i | ||||
\(713\) | −19.2627 | − | 33.3640i | −0.721393 | − | 1.24949i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.63604 | − | 4.56575i | 0.0985823 | − | 0.170749i | ||||
\(716\) | − | 26.4853i | − | 0.989801i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 18.0000 | 0.671754 | ||||||||
\(719\) | 8.06591 | + | 13.9706i | 0.300808 | + | 0.521014i | 0.976319 | − | 0.216335i | \(-0.0694105\pi\) |
−0.675511 | + | 0.737349i | \(0.736077\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.4558 | + | 5.49333i | −0.501122 | + | 0.204582i | ||||
\(722\) | 13.8309 | − | 7.98528i | 0.514733 | − | 0.297181i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.2426 | − | 5.91359i | 0.380665 | − | 0.219777i | ||||
\(725\) | 28.1331 | − | 16.2426i | 1.04484 | − | 0.603237i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1360 | − | 5.85204i | 0.375925 | − | 0.217040i | −0.300119 | − | 0.953902i | \(-0.597026\pi\) |
0.676044 | + | 0.736861i | \(0.263693\pi\) | |||||||
\(728\) | −6.42090 | − | 0.878680i | −0.237974 | − | 0.0325660i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.514719 | + | 0.891519i | 0.0190506 | + | 0.0329966i | ||||
\(731\) | 1.43488 | 0.0530709 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.72490i | 0.174518i | 0.996186 | + | 0.0872591i | \(0.0278108\pi\) | ||||
−0.996186 | + | 0.0872591i | \(0.972189\pi\) | |||||||
\(734\) | −7.70719 | + | 13.3492i | −0.284478 | + | 0.492730i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.12132 | + | 3.67423i | 0.0781929 | + | 0.135434i | ||||
\(737\) | 25.9808 | − | 15.0000i | 0.957014 | − | 0.552532i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.72792 | + | 13.3852i | −0.284276 | + | 0.492381i | −0.972433 | − | 0.233181i | \(-0.925087\pi\) |
0.688157 | + | 0.725562i | \(0.258420\pi\) | |||||||
\(740\) | 0.0870399 | − | 0.150758i | 0.00319965 | − | 0.00554196i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.7426 | − | 15.1427i | 0.431086 | − | 0.555906i | ||||
\(743\) | 33.3292 | + | 19.2426i | 1.22273 | + | 0.705944i | 0.965499 | − | 0.260406i | \(-0.0838563\pi\) |
0.257232 | + | 0.966350i | \(0.417190\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 2.52160i | − | 0.0923841i | ||||||
\(746\) | −25.5095 | − | 14.7279i | −0.933969 | − | 0.539228i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 17.7408i | − | 0.648667i | ||||||
\(749\) | −24.0131 | − | 18.6213i | −0.877419 | − | 0.680408i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.2426 | 1.28602 | 0.643011 | − | 0.765857i | \(-0.277685\pi\) | ||||
0.643011 | + | 0.765857i | \(0.277685\pi\) | |||||||
\(752\) | 2.95680 | + | 5.12132i | 0.107823 | + | 0.186755i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 15.3640 | + | 8.87039i | 0.559522 | + | 0.323040i | ||||
\(755\) | −3.76127 | −0.136887 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −33.7574 | −1.22693 | −0.613466 | − | 0.789721i | \(-0.710225\pi\) | ||||
−0.613466 | + | 0.789721i | \(0.710225\pi\) | |||||||
\(758\) | 10.8126 | + | 6.24264i | 0.392730 | + | 0.226743i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.12132 | + | 3.67423i | 0.0769484 | + | 0.133278i | ||||
\(761\) | −29.5680 | −1.07184 | −0.535919 | − | 0.844270i | \(-0.680035\pi\) | ||||
−0.535919 | + | 0.844270i | \(0.680035\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 48.4558 | + | 6.63103i | 1.75422 | + | 0.240059i | ||||
\(764\) | 8.48528i | 0.306987i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −19.2426 | − | 11.1097i | −0.695265 | − | 0.401411i | ||||
\(767\) | 19.7574i | 0.713397i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.52944 | + | 4.92447i | 0.307579 | + | 0.177581i | 0.645843 | − | 0.763470i | \(-0.276506\pi\) |
−0.338263 | + | 0.941051i | \(0.609839\pi\) | |||||||
\(770\) | 5.64191 | + | 0.772078i | 0.203320 | + | 0.0278238i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.74264 | − | 8.21449i | 0.170691 | − | 0.295646i | ||||
\(773\) | −8.06591 | + | 13.9706i | −0.290111 | + | 0.502486i | −0.973836 | − | 0.227253i | \(-0.927025\pi\) |
0.683725 | + | 0.729740i | \(0.260359\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −35.2721 | + | 20.3643i | −1.26701 | + | 0.731509i | ||||
\(776\) | −6.77962 | − | 11.7426i | −0.243374 | − | 0.421536i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.7279 | − | 27.2416i | 0.563873 | − | 0.976657i | ||||
\(779\) | 69.9411i | 2.50590i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.27208 | 0.188650 | ||||||||
\(782\) | −12.5446 | − | 21.7279i | −0.448595 | − | 0.776989i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.74264 | − | 6.77962i | −0.0622372 | − | 0.242129i | ||||
\(785\) | 9.13151 | − | 5.27208i | 0.325917 | − | 0.188169i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.8787 | + | 16.0958i | −0.993768 | + | 0.573752i | −0.906398 | − | 0.422424i | \(-0.861179\pi\) |
−0.0873693 | + | 0.996176i | \(0.527846\pi\) | |||||||
\(788\) | −22.9369 | + | 13.2426i | −0.817094 | + | 0.471750i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.71320 | + | 0.989118i | −0.0609530 | + | 0.0351913i | ||||
\(791\) | 3.04384 | − | 22.2426i | 0.108226 | − | 0.790857i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.24264 | + | 2.15232i | 0.0441275 | + | 0.0764310i | ||||
\(794\) | 13.8564 | 0.491745 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.0600i | 0.817341i | ||||||||
\(797\) | 3.22848 | − | 5.59188i | 0.114358 | − | 0.198075i | −0.803165 | − | 0.595757i | \(-0.796852\pi\) |
0.917523 | + | 0.397682i | \(0.130185\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.4853 | − | 30.2854i | −0.618585 | − | 1.07142i | ||||
\(800\) | 3.88437 | − | 2.24264i | 0.137333 | − | 0.0792893i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.15232 | + | 3.72792i | −0.0759536 | + | 0.131556i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.45584 | − | 3.04384i | 0.262784 | − | 0.107281i | ||||
\(806\) | −19.2627 | − | 11.1213i | −0.678499 | − | 0.391732i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 6.08767 | + | 3.51472i | 0.214031 | + | 0.123571i | 0.603183 | − | 0.797602i | \(-0.293899\pi\) |
−0.389152 | + | 0.921173i | \(0.627232\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 31.1769i | − | 1.09477i | −0.836881 | − | 0.547385i | \(-0.815623\pi\) | ||
0.836881 | − | 0.547385i | \(-0.184377\pi\) | |||||||
\(812\) | −2.59808 | + | 18.9853i | −0.0911746 | + | 0.666253i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.727922 | 0.0255137 | ||||||||
\(815\) | −0.804479 | − | 1.39340i | −0.0281797 | − | 0.0488086i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.24264 | − | 0.717439i | −0.0434745 | − | 0.0251000i | ||||
\(818\) | −14.9941 | −0.524257 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8.48528 | −0.296319 | ||||||||
\(821\) | 35.2969 | + | 20.3787i | 1.23187 | + | 0.711221i | 0.967420 | − | 0.253178i | \(-0.0814759\pi\) |
0.264451 | + | 0.964399i | \(0.414809\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.9706 | − | 25.9298i | −0.521841 | − | 0.903855i | −0.999677 | − | 0.0254062i | \(-0.991912\pi\) |
0.477836 | − | 0.878449i | \(-0.341421\pi\) | |||||||
\(824\) | 5.49333 | 0.191369 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −19.7574 | + | 8.06591i | −0.687446 | + | 0.280649i | ||||
\(827\) | − | 37.9706i | − | 1.32037i | −0.751105 | − | 0.660183i | \(-0.770479\pi\) | ||
0.751105 | − | 0.660183i | \(-0.229521\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.3345 | + | 6.54399i | 0.393664 | + | 0.227282i | 0.683747 | − | 0.729720i | \(-0.260349\pi\) |
−0.290082 | + | 0.957002i | \(0.593683\pi\) | |||||||
\(830\) | − | 4.75736i | − | 0.165130i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.12132 | + | 1.22474i | 0.0735436 | + | 0.0424604i | ||||
\(833\) | 10.3053 | + | 40.0919i | 0.357056 | + | 1.38910i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.78680 | − | 10.0230i | 0.200260 | − | 0.346861i | ||||
\(836\) | −8.87039 | + | 15.3640i | −0.306789 | + | 0.531374i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.4853 | − | 11.8272i | 0.707652 | − | 0.408563i | ||||
\(839\) | 5.10911 | + | 8.84924i | 0.176386 | + | 0.305510i | 0.940640 | − | 0.339406i | \(-0.110226\pi\) |
−0.764254 | + | 0.644915i | \(0.776893\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.7279 | − | 20.3134i | 0.404411 | − | 0.700461i | ||||
\(842\) | 14.2426i | 0.490834i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.242641 | 0.00835204 | ||||||||
\(845\) | 2.51104 | + | 4.34924i | 0.0863823 | + | 0.149618i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.00000 | − | 4.89898i | −0.0687208 | − | 0.168331i | ||||
\(848\) | −6.27231 | + | 3.62132i | −0.215392 | + | 0.124357i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −22.9706 | + | 13.2621i | −0.787884 | + | 0.454885i | ||||
\(851\) | 0.891519 | − | 0.514719i | 0.0305609 | − | 0.0176443i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −31.9706 | + | 18.4582i | −1.09465 | + | 0.631997i | −0.934811 | − | 0.355146i | \(-0.884431\pi\) |
−0.159840 | + | 0.987143i | \(0.551098\pi\) | |||||||
\(854\) | −1.64501 | + | 2.12132i | −0.0562911 | + | 0.0725901i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.74264 | + | 9.94655i | 0.196279 | + | 0.339966i | ||||
\(857\) | 33.8726 | 1.15707 | 0.578533 | − | 0.815659i | \(-0.303625\pi\) | ||||
0.578533 | + | 0.815659i | \(0.303625\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.37769i | 0.319963i | 0.987120 | + | 0.159981i | \(0.0511434\pi\) | ||||
−0.987120 | + | 0.159981i | \(0.948857\pi\) | |||||||
\(860\) | 0.0870399 | − | 0.150758i | 0.00296804 | − | 0.00514079i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.75736 | + | 3.04384i | 0.0598559 | + | 0.103673i | ||||
\(863\) | −29.0246 | + | 16.7574i | −0.988009 | + | 0.570427i | −0.904679 | − | 0.426095i | \(-0.859889\pi\) |
−0.0833303 | + | 0.996522i | \(0.526556\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.45584 | + | 12.9139i | −0.253506 | + | 0.439086i | ||||
\(866\) | −1.73205 | + | 3.00000i | −0.0588575 | + | 0.101944i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.25736 | − | 23.8030i | 0.110562 | − | 0.807925i | ||||
\(869\) | −7.16383 | − | 4.13604i | −0.243016 | − | 0.140306i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 24.4949i | − | 0.829978i | ||||||
\(872\) | −16.0087 | − | 9.24264i | −0.542124 | − | 0.312995i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 25.0892i | 0.848656i | ||||||||
\(875\) | −6.80511 | − | 16.6690i | −0.230055 | − | 0.563517i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.48528 | 0.151457 | 0.0757286 | − | 0.997128i | \(-0.475872\pi\) | ||||
0.0757286 | + | 0.997128i | \(0.475872\pi\) | |||||||
\(878\) | 8.42463 | + | 14.5919i | 0.284317 | + | 0.492452i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.86396 | − | 1.07616i | −0.0628341 | − | 0.0362773i | ||||
\(881\) | −19.0016 | −0.640179 | −0.320090 | − | 0.947387i | \(-0.603713\pi\) | ||||
−0.320090 | + | 0.947387i | \(0.603713\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 41.4558 | 1.39510 | 0.697550 | − | 0.716536i | \(-0.254273\pi\) | ||||
0.697550 | + | 0.716536i | \(0.254273\pi\) | |||||||
\(884\) | −12.5446 | − | 7.24264i | −0.421921 | − | 0.243596i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.22792 | − | 14.2512i | −0.276422 | − | 0.478778i | ||||
\(887\) | 10.5664 | 0.354784 | 0.177392 | − | 0.984140i | \(-0.443234\pi\) | ||||
0.177392 | + | 0.984140i | \(0.443234\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.24264 | − | 7.94282i | −0.108755 | − | 0.266393i | ||||
\(890\) | 7.45584i | 0.249920i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.86396 | − | 1.07616i | −0.0624100 | − | 0.0360324i | ||||
\(893\) | 34.9706i | 1.17025i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.4558 | + | 9.50079i | 0.550058 | + | 0.317576i | ||||
\(896\) | −0.358719 | + | 2.62132i | −0.0119840 | + | 0.0875722i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.878680 | + | 1.52192i | −0.0293219 | + | 0.0507871i | ||||
\(899\) | −32.8835 | + | 56.9558i | −1.09673 | + | 1.89958i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 37.0919 | − | 21.4150i | 1.23571 | − | 0.713437i | ||||
\(902\) | −17.7408 | − | 30.7279i | −0.590703 | − | 1.02313i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.24264 | + | 7.34847i | −0.141108 | + | 0.244406i | ||||
\(905\) | 8.48528i | 0.282060i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −31.6985 | −1.05253 | −0.526265 | − | 0.850320i | \(-0.676408\pi\) | ||||
−0.526265 | + | 0.850320i | \(0.676408\pi\) | |||||||
\(908\) | 7.79423 | + | 13.5000i | 0.258661 | + | 0.448013i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.84924 | − | 3.67423i | 0.0944515 | − | 0.121800i | ||||
\(911\) | 5.82655 | − | 3.36396i | 0.193042 | − | 0.111453i | −0.400364 | − | 0.916356i | \(-0.631116\pi\) |
0.593406 | + | 0.804903i | \(0.297783\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.2279 | − | 9.94655i | 0.570161 | − | 0.329183i | ||||
\(914\) | 19.9186 | − | 11.5000i | 0.658848 | − | 0.380386i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 12.0000 | − | 6.92820i | 0.396491 | − | 0.228914i | ||||
\(917\) | 5.19615 | + | 12.7279i | 0.171592 | + | 0.420313i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.2426 | − | 31.5972i | −0.601769 | − | 1.04229i | −0.992553 | − | 0.121812i | \(-0.961129\pi\) |
0.390784 | − | 0.920482i | \(-0.372204\pi\) | |||||||
\(920\) | −3.04384 | −0.100352 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 32.6118i | 1.07401i | ||||||||
\(923\) | 2.15232 | − | 3.72792i | 0.0708444 | − | 0.122706i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.544156 | − | 0.942506i | −0.0178917 | − | 0.0309894i | ||||
\(926\) | 25.5095 | − | 14.7279i | 0.838294 | − | 0.483990i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.62132 | − | 6.27231i | 0.118876 | − | 0.205899i | ||||
\(929\) | 15.5014 | − | 26.8492i | 0.508585 | − | 0.880895i | −0.491366 | − | 0.870953i | \(-0.663502\pi\) |
0.999951 | − | 0.00994164i | \(-0.00316458\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.1213 | − | 39.8732i | 0.364487 | − | 1.30679i | ||||
\(932\) | −16.2189 | − | 9.36396i | −0.531266 | − | 0.306727i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 39.7862i | − | 1.30184i | ||||||
\(935\) | 11.0227 | + | 6.36396i | 0.360481 | + | 0.208124i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.1844i | 1.14942i | 0.818356 | + | 0.574712i | \(0.194886\pi\) | ||||
−0.818356 | + | 0.574712i | \(0.805114\pi\) | |||||||
\(938\) | 24.4949 | − | 10.0000i | 0.799787 | − | 0.326512i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.24264 | −0.138380 | ||||||||
\(941\) | −13.7949 | − | 23.8934i | −0.449700 | − | 0.778903i | 0.548667 | − | 0.836041i | \(-0.315136\pi\) |
−0.998366 | + | 0.0571387i | \(0.981802\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −43.4558 | − | 25.0892i | −1.41512 | − | 0.817018i | ||||
\(944\) | 8.06591 | 0.262523 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.727922 | 0.0236668 | ||||||||
\(947\) | −9.50079 | − | 5.48528i | −0.308734 | − | 0.178248i | 0.337626 | − | 0.941280i | \(-0.390376\pi\) |
−0.646360 | + | 0.763033i | \(0.723709\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.75736 | + | 3.04384i | 0.0570463 | + | 0.0988071i | ||||
\(950\) | 26.5241 | 0.860556 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.12132 | − | 15.5014i | 0.0687524 | − | 0.502404i | ||||
\(953\) | 17.6985i | 0.573310i | 0.958034 | + | 0.286655i | \(0.0925434\pi\) | ||||
−0.958034 | + | 0.286655i | \(0.907457\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.27208 | − | 3.04384i | −0.170600 | − | 0.0984962i | ||||
\(956\) | 12.7279i | 0.411650i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.3934 | + | 6.00063i | 0.335795 | + | 0.193872i | ||||
\(959\) | −6.08767 | + | 2.48528i | −0.196581 | + | 0.0802539i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.7279 | − | 44.5621i | 0.829933 | − | 1.43749i | ||||
\(962\) | 0.297173 | − | 0.514719i | 0.00958124 | − | 0.0165952i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.25736 | − | 3.61269i | 0.201536 | − | 0.116357i | ||||
\(965\) | 3.40256 | + | 5.89340i | 0.109532 | + | 0.189715i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −23.8640 | + | 41.3336i | −0.767413 | + | 1.32920i | 0.171548 | + | 0.985176i | \(0.445123\pi\) |
−0.938961 | + | 0.344023i | \(0.888210\pi\) | |||||||
\(968\) | 2.00000i | 0.0642824i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.72792 | 0.312345 | ||||||||
\(971\) | −13.5337 | − | 23.4411i | −0.434318 | − | 0.752262i | 0.562921 | − | 0.826510i | \(-0.309677\pi\) |
−0.997240 | + | 0.0742490i | \(0.976344\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.213203 | + | 1.55797i | −0.00683499 | + | 0.0499463i | ||||
\(974\) | 12.3090 | − | 7.10660i | 0.394406 | − | 0.227710i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.878680 | − | 0.507306i | 0.0281259 | − | 0.0162385i | ||||
\(977\) | −34.8511 | + | 20.1213i | −1.11499 | + | 0.643738i | −0.940116 | − | 0.340853i | \(-0.889284\pi\) |
−0.174871 | + | 0.984591i | \(0.555951\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27.0000 | + | 15.5885i | −0.862924 | + | 0.498209i | ||||
\(980\) | 4.83743 | + | 1.34924i | 0.154526 | + | 0.0431000i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.98528 | − | 12.0989i | −0.222909 | − | 0.386090i | ||||
\(983\) | −47.3087 | −1.50891 | −0.754457 | − | 0.656349i | \(-0.772100\pi\) | ||||
−0.754457 | + | 0.656349i | \(0.772100\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 19.0016i | − | 0.605440i | ||||||
\(986\) | −21.4150 | + | 37.0919i | −0.681993 | + | 1.18125i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.24264 | + | 12.5446i | 0.230419 | + | 0.399098i | ||||
\(989\) | 0.891519 | − | 0.514719i | 0.0283486 | − | 0.0163671i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.1066 | + | 45.2180i | −0.829304 | + | 1.43640i | 0.0692818 | + | 0.997597i | \(0.477929\pi\) |
−0.898585 | + | 0.438799i | \(0.855404\pi\) | |||||||
\(992\) | −4.54026 | + | 7.86396i | −0.144153 | + | 0.249681i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.60660 | + | 0.630399i | 0.146113 | + | 0.0199950i | ||||
\(995\) | −14.3277 | − | 8.27208i | −0.454217 | − | 0.262243i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.9456i | 1.23342i | 0.787190 | + | 0.616711i | \(0.211535\pi\) | ||||
−0.787190 | + | 0.616711i | \(0.788465\pi\) | |||||||
\(998\) | 27.6618 | + | 15.9706i | 0.875620 | + | 0.505539i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))