Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [26,2,Mod(3,26)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(26, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("26.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 26 = 2 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 26.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.207611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 26.9 |
Dual form | 26.2.c.a.3.1 |
$q$-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 \(\left(\mathbb{Z}/26\mathbb{Z}\right)^\times\).
\(n\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.00000 | −0.447214 | −0.223607 | − | 0.974679i | \(-0.571783\pi\) | ||||
−0.223607 | + | 0.974679i | \(0.571783\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.00000 | − | 3.46410i | −0.755929 | − | 1.30931i | −0.944911 | − | 0.327327i | \(-0.893852\pi\) |
0.188982 | − | 0.981981i | \(-0.439481\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.50000 | + | 2.59808i | 0.500000 | + | 0.866025i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | −2.00000 | + | 3.46410i | −0.603023 | + | 1.04447i | 0.389338 | + | 0.921095i | \(0.372704\pi\) |
−0.992361 | + | 0.123371i | \(0.960630\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.50000 | + | 0.866025i | 0.970725 | + | 0.240192i | ||||
\(14\) | 4.00000 | 1.06904 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.50000 | − | 2.59808i | −0.363803 | − | 0.630126i | 0.624780 | − | 0.780801i | \(-0.285189\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(18\) | −3.00000 | −0.707107 | ||||||||
\(19\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(20\) | 0.500000 | + | 0.866025i | 0.111803 | + | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00000 | − | 3.46410i | −0.426401 | − | 0.738549i | ||||
\(23\) | 2.00000 | − | 3.46410i | 0.417029 | − | 0.722315i | −0.578610 | − | 0.815604i | \(-0.696405\pi\) |
0.995639 | + | 0.0932891i | \(0.0297381\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | −2.50000 | + | 2.59808i | −0.490290 | + | 0.509525i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.00000 | + | 3.46410i | −0.377964 | + | 0.654654i | ||||
\(29\) | 0.500000 | − | 0.866025i | 0.0928477 | − | 0.160817i | −0.815861 | − | 0.578249i | \(-0.803736\pi\) |
0.908708 | + | 0.417432i | \(0.137070\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.00000 | 0.514496 | ||||||||
\(35\) | 2.00000 | + | 3.46410i | 0.338062 | + | 0.585540i | ||||
\(36\) | 1.50000 | − | 2.59808i | 0.250000 | − | 0.433013i | ||||
\(37\) | −1.50000 | + | 2.59808i | −0.246598 | + | 0.427121i | −0.962580 | − | 0.270998i | \(-0.912646\pi\) |
0.715981 | + | 0.698119i | \(0.245980\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.00000 | −0.158114 | ||||||||
\(41\) | 4.50000 | − | 7.79423i | 0.702782 | − | 1.21725i | −0.264704 | − | 0.964330i | \(-0.585274\pi\) |
0.967486 | − | 0.252924i | \(-0.0813924\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000 | + | 6.92820i | 0.609994 | + | 1.05654i | 0.991241 | + | 0.132068i | \(0.0421616\pi\) |
−0.381246 | + | 0.924473i | \(0.624505\pi\) | |||||||
\(44\) | 4.00000 | 0.603023 | ||||||||
\(45\) | −1.50000 | − | 2.59808i | −0.223607 | − | 0.387298i | ||||
\(46\) | 2.00000 | + | 3.46410i | 0.294884 | + | 0.510754i | ||||
\(47\) | −8.00000 | −1.16692 | −0.583460 | − | 0.812142i | \(-0.698301\pi\) | ||||
−0.583460 | + | 0.812142i | \(0.698301\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.50000 | + | 7.79423i | −0.642857 | + | 1.11346i | ||||
\(50\) | 2.00000 | − | 3.46410i | 0.282843 | − | 0.489898i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.00000 | − | 3.46410i | −0.138675 | − | 0.480384i | ||||
\(53\) | −9.00000 | −1.23625 | −0.618123 | − | 0.786082i | \(-0.712106\pi\) | ||||
−0.618123 | + | 0.786082i | \(0.712106\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.00000 | − | 3.46410i | 0.269680 | − | 0.467099i | ||||
\(56\) | −2.00000 | − | 3.46410i | −0.267261 | − | 0.462910i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.500000 | + | 0.866025i | 0.0656532 | + | 0.113715i | ||||
\(59\) | 2.00000 | + | 3.46410i | 0.260378 | + | 0.450988i | 0.966342 | − | 0.257260i | \(-0.0828195\pi\) |
−0.705965 | + | 0.708247i | \(0.749486\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.50000 | − | 6.06218i | −0.448129 | − | 0.776182i | 0.550135 | − | 0.835076i | \(-0.314576\pi\) |
−0.998264 | + | 0.0588933i | \(0.981243\pi\) | |||||||
\(62\) | −2.00000 | + | 3.46410i | −0.254000 | + | 0.439941i | ||||
\(63\) | 6.00000 | − | 10.3923i | 0.755929 | − | 1.30931i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.50000 | − | 0.866025i | −0.434122 | − | 0.107417i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.00000 | + | 3.46410i | −0.244339 | + | 0.423207i | −0.961946 | − | 0.273241i | \(-0.911904\pi\) |
0.717607 | + | 0.696449i | \(0.245238\pi\) | |||||||
\(68\) | −1.50000 | + | 2.59808i | −0.181902 | + | 0.315063i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.00000 | −0.478091 | ||||||||
\(71\) | 4.00000 | + | 6.92820i | 0.474713 | + | 0.822226i | 0.999581 | − | 0.0289572i | \(-0.00921865\pi\) |
−0.524868 | + | 0.851184i | \(0.675885\pi\) | |||||||
\(72\) | 1.50000 | + | 2.59808i | 0.176777 | + | 0.306186i | ||||
\(73\) | 11.0000 | 1.28745 | 0.643726 | − | 0.765256i | \(-0.277388\pi\) | ||||
0.643726 | + | 0.765256i | \(0.277388\pi\) | |||||||
\(74\) | −1.50000 | − | 2.59808i | −0.174371 | − | 0.302020i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 16.0000 | 1.82337 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.00000 | −0.450035 | −0.225018 | − | 0.974355i | \(-0.572244\pi\) | ||||
−0.225018 | + | 0.974355i | \(0.572244\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 4.50000 | + | 7.79423i | 0.496942 | + | 0.860729i | ||||
\(83\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.50000 | + | 2.59808i | 0.162698 | + | 0.281801i | ||||
\(86\) | −8.00000 | −0.862662 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.00000 | + | 3.46410i | −0.213201 | + | 0.369274i | ||||
\(89\) | 3.00000 | − | 5.19615i | 0.317999 | − | 0.550791i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.980071 | + | 0.198650i | \(0.0636557\pi\) | |||||||
\(90\) | 3.00000 | 0.316228 | ||||||||
\(91\) | −4.00000 | − | 13.8564i | −0.419314 | − | 1.45255i | ||||
\(92\) | −4.00000 | −0.417029 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | − | 6.92820i | 0.412568 | − | 0.714590i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.00000 | − | 1.73205i | −0.101535 | − | 0.175863i | 0.810782 | − | 0.585348i | \(-0.199042\pi\) |
−0.912317 | + | 0.409484i | \(0.865709\pi\) | |||||||
\(98\) | −4.50000 | − | 7.79423i | −0.454569 | − | 0.787336i | ||||
\(99\) | −12.0000 | −1.20605 | ||||||||
\(100\) | 2.00000 | + | 3.46410i | 0.200000 | + | 0.346410i | ||||
\(101\) | −3.50000 | + | 6.06218i | −0.348263 | + | 0.603209i | −0.985941 | − | 0.167094i | \(-0.946562\pi\) |
0.637678 | + | 0.770303i | \(0.279895\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.00000 | −0.788263 | −0.394132 | − | 0.919054i | \(-0.628955\pi\) | ||||
−0.394132 | + | 0.919054i | \(0.628955\pi\) | |||||||
\(104\) | 3.50000 | + | 0.866025i | 0.343203 | + | 0.0849208i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.50000 | − | 7.79423i | 0.437079 | − | 0.757042i | ||||
\(107\) | 2.00000 | − | 3.46410i | 0.193347 | − | 0.334887i | −0.753010 | − | 0.658009i | \(-0.771399\pi\) |
0.946357 | + | 0.323122i | \(0.104732\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.00000 | −0.191565 | −0.0957826 | − | 0.995402i | \(-0.530535\pi\) | ||||
−0.0957826 | + | 0.995402i | \(0.530535\pi\) | |||||||
\(110\) | 2.00000 | + | 3.46410i | 0.190693 | + | 0.330289i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.00000 | 0.377964 | ||||||||
\(113\) | 0.500000 | + | 0.866025i | 0.0470360 | + | 0.0814688i | 0.888585 | − | 0.458712i | \(-0.151689\pi\) |
−0.841549 | + | 0.540181i | \(0.818356\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.00000 | + | 3.46410i | −0.186501 | + | 0.323029i | ||||
\(116\) | −1.00000 | −0.0928477 | ||||||||
\(117\) | 3.00000 | + | 10.3923i | 0.277350 | + | 0.960769i | ||||
\(118\) | −4.00000 | −0.368230 | ||||||||
\(119\) | −6.00000 | + | 10.3923i | −0.550019 | + | 0.952661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.50000 | − | 4.33013i | −0.227273 | − | 0.393648i | ||||
\(122\) | 7.00000 | 0.633750 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.00000 | − | 3.46410i | −0.179605 | − | 0.311086i | ||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 6.00000 | + | 10.3923i | 0.534522 | + | 0.925820i | ||||
\(127\) | 4.00000 | − | 6.92820i | 0.354943 | − | 0.614779i | −0.632166 | − | 0.774833i | \(-0.717834\pi\) |
0.987108 | + | 0.160055i | \(0.0511671\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.50000 | − | 2.59808i | 0.219265 | − | 0.227866i | ||||
\(131\) | 20.0000 | 1.74741 | 0.873704 | − | 0.486458i | \(-0.161711\pi\) | ||||
0.873704 | + | 0.486458i | \(0.161711\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −2.00000 | − | 3.46410i | −0.172774 | − | 0.299253i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.50000 | − | 2.59808i | −0.128624 | − | 0.222783i | ||||
\(137\) | 4.50000 | + | 7.79423i | 0.384461 | + | 0.665906i | 0.991694 | − | 0.128618i | \(-0.0410540\pi\) |
−0.607233 | + | 0.794524i | \(0.707721\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.00000 | − | 13.8564i | −0.678551 | − | 1.17529i | −0.975417 | − | 0.220366i | \(-0.929275\pi\) |
0.296866 | − | 0.954919i | \(-0.404058\pi\) | |||||||
\(140\) | 2.00000 | − | 3.46410i | 0.169031 | − | 0.292770i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.00000 | −0.671345 | ||||||||
\(143\) | −10.0000 | + | 10.3923i | −0.836242 | + | 0.869048i | ||||
\(144\) | −3.00000 | −0.250000 | ||||||||
\(145\) | −0.500000 | + | 0.866025i | −0.0415227 | + | 0.0719195i | ||||
\(146\) | −5.50000 | + | 9.52628i | −0.455183 | + | 0.788400i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.00000 | 0.246598 | ||||||||
\(149\) | −7.50000 | − | 12.9904i | −0.614424 | − | 1.06421i | −0.990485 | − | 0.137619i | \(-0.956055\pi\) |
0.376061 | − | 0.926595i | \(-0.377278\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.0000 | 0.976546 | 0.488273 | − | 0.872691i | \(-0.337627\pi\) | ||||
0.488273 | + | 0.872691i | \(0.337627\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.50000 | − | 7.79423i | 0.363803 | − | 0.630126i | ||||
\(154\) | −8.00000 | + | 13.8564i | −0.644658 | + | 1.11658i | ||||
\(155\) | −4.00000 | −0.321288 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.0000 | 0.877896 | 0.438948 | − | 0.898513i | \(-0.355351\pi\) | ||||
0.438948 | + | 0.898513i | \(0.355351\pi\) | |||||||
\(158\) | 2.00000 | − | 3.46410i | 0.159111 | − | 0.275589i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −16.0000 | −1.26098 | ||||||||
\(162\) | −4.50000 | − | 7.79423i | −0.353553 | − | 0.612372i | ||||
\(163\) | −4.00000 | − | 6.92820i | −0.313304 | − | 0.542659i | 0.665771 | − | 0.746156i | \(-0.268103\pi\) |
−0.979076 | + | 0.203497i | \(0.934769\pi\) | |||||||
\(164\) | −9.00000 | −0.702782 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.00000 | + | 10.3923i | −0.464294 | + | 0.804181i | −0.999169 | − | 0.0407502i | \(-0.987025\pi\) |
0.534875 | + | 0.844931i | \(0.320359\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5000 | + | 6.06218i | 0.884615 | + | 0.466321i | ||||
\(170\) | −3.00000 | −0.230089 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.00000 | − | 6.92820i | 0.304997 | − | 0.528271i | ||||
\(173\) | −7.00000 | − | 12.1244i | −0.532200 | − | 0.921798i | −0.999293 | − | 0.0375896i | \(-0.988032\pi\) |
0.467093 | − | 0.884208i | \(-0.345301\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.00000 | + | 13.8564i | 0.604743 | + | 1.04745i | ||||
\(176\) | −2.00000 | − | 3.46410i | −0.150756 | − | 0.261116i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.00000 | + | 5.19615i | 0.224860 | + | 0.389468i | ||||
\(179\) | 12.0000 | − | 20.7846i | 0.896922 | − | 1.55351i | 0.0655145 | − | 0.997852i | \(-0.479131\pi\) |
0.831408 | − | 0.555663i | \(-0.187536\pi\) | |||||||
\(180\) | −1.50000 | + | 2.59808i | −0.111803 | + | 0.193649i | ||||
\(181\) | −21.0000 | −1.56092 | −0.780459 | − | 0.625207i | \(-0.785014\pi\) | ||||
−0.780459 | + | 0.625207i | \(0.785014\pi\) | |||||||
\(182\) | 14.0000 | + | 3.46410i | 1.03775 | + | 0.256776i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.00000 | − | 3.46410i | 0.147442 | − | 0.255377i | ||||
\(185\) | 1.50000 | − | 2.59808i | 0.110282 | − | 0.191014i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.0000 | 0.877527 | ||||||||
\(188\) | 4.00000 | + | 6.92820i | 0.291730 | + | 0.505291i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.0000 | + | 17.3205i | 0.723575 | + | 1.25327i | 0.959558 | + | 0.281511i | \(0.0908356\pi\) |
−0.235983 | + | 0.971757i | \(0.575831\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.50000 | + | 9.52628i | −0.395899 | + | 0.685717i | −0.993215 | − | 0.116289i | \(-0.962900\pi\) |
0.597317 | + | 0.802005i | \(0.296234\pi\) | |||||||
\(194\) | 2.00000 | 0.143592 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.00000 | 0.642857 | ||||||||
\(197\) | −3.00000 | + | 5.19615i | −0.213741 | + | 0.370211i | −0.952882 | − | 0.303340i | \(-0.901898\pi\) |
0.739141 | + | 0.673550i | \(0.235232\pi\) | |||||||
\(198\) | 6.00000 | − | 10.3923i | 0.426401 | − | 0.738549i | ||||
\(199\) | 2.00000 | + | 3.46410i | 0.141776 | + | 0.245564i | 0.928166 | − | 0.372168i | \(-0.121385\pi\) |
−0.786389 | + | 0.617731i | \(0.788052\pi\) | |||||||
\(200\) | −4.00000 | −0.282843 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.50000 | − | 6.06218i | −0.246259 | − | 0.426533i | ||||
\(203\) | −4.00000 | −0.280745 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.50000 | + | 7.79423i | −0.314294 | + | 0.544373i | ||||
\(206\) | 4.00000 | − | 6.92820i | 0.278693 | − | 0.482711i | ||||
\(207\) | 12.0000 | 0.834058 | ||||||||
\(208\) | −2.50000 | + | 2.59808i | −0.173344 | + | 0.180144i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.0000 | + | 17.3205i | −0.688428 | + | 1.19239i | 0.283918 | + | 0.958849i | \(0.408366\pi\) |
−0.972346 | + | 0.233544i | \(0.924968\pi\) | |||||||
\(212\) | 4.50000 | + | 7.79423i | 0.309061 | + | 0.535310i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.00000 | + | 3.46410i | 0.136717 | + | 0.236801i | ||||
\(215\) | −4.00000 | − | 6.92820i | −0.272798 | − | 0.472500i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.00000 | − | 13.8564i | −0.543075 | − | 0.940634i | ||||
\(218\) | 1.00000 | − | 1.73205i | 0.0677285 | − | 0.117309i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.00000 | −0.269680 | ||||||||
\(221\) | −3.00000 | − | 10.3923i | −0.201802 | − | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.00000 | + | 10.3923i | −0.401790 | + | 0.695920i | −0.993942 | − | 0.109906i | \(-0.964945\pi\) |
0.592152 | + | 0.805826i | \(0.298278\pi\) | |||||||
\(224\) | −2.00000 | + | 3.46410i | −0.133631 | + | 0.231455i | ||||
\(225\) | −6.00000 | − | 10.3923i | −0.400000 | − | 0.692820i | ||||
\(226\) | −1.00000 | −0.0665190 | ||||||||
\(227\) | −12.0000 | − | 20.7846i | −0.796468 | − | 1.37952i | −0.921903 | − | 0.387421i | \(-0.873366\pi\) |
0.125435 | − | 0.992102i | \(-0.459967\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.00000 | 0.396491 | 0.198246 | − | 0.980152i | \(-0.436476\pi\) | ||||
0.198246 | + | 0.980152i | \(0.436476\pi\) | |||||||
\(230\) | −2.00000 | − | 3.46410i | −0.131876 | − | 0.228416i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.500000 | − | 0.866025i | 0.0328266 | − | 0.0568574i | ||||
\(233\) | 10.0000 | 0.655122 | 0.327561 | − | 0.944830i | \(-0.393773\pi\) | ||||
0.327561 | + | 0.944830i | \(0.393773\pi\) | |||||||
\(234\) | −10.5000 | − | 2.59808i | −0.686406 | − | 0.169842i | ||||
\(235\) | 8.00000 | 0.521862 | ||||||||
\(236\) | 2.00000 | − | 3.46410i | 0.130189 | − | 0.225494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.00000 | − | 10.3923i | −0.388922 | − | 0.673633i | ||||
\(239\) | −12.0000 | −0.776215 | −0.388108 | − | 0.921614i | \(-0.626871\pi\) | ||||
−0.388108 | + | 0.921614i | \(0.626871\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.50000 | − | 2.59808i | −0.0966235 | − | 0.167357i | 0.813662 | − | 0.581339i | \(-0.197471\pi\) |
−0.910285 | + | 0.413982i | \(0.864138\pi\) | |||||||
\(242\) | 5.00000 | 0.321412 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.50000 | + | 6.06218i | −0.224065 | + | 0.388091i | ||||
\(245\) | 4.50000 | − | 7.79423i | 0.287494 | − | 0.497955i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.50000 | + | 7.79423i | −0.284605 | + | 0.492950i | ||||
\(251\) | 6.00000 | + | 10.3923i | 0.378717 | + | 0.655956i | 0.990876 | − | 0.134778i | \(-0.0430322\pi\) |
−0.612159 | + | 0.790735i | \(0.709699\pi\) | |||||||
\(252\) | −12.0000 | −0.755929 | ||||||||
\(253\) | 8.00000 | + | 13.8564i | 0.502956 | + | 0.871145i | ||||
\(254\) | 4.00000 | + | 6.92820i | 0.250982 | + | 0.434714i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.50000 | + | 12.9904i | −0.467837 | + | 0.810318i | −0.999325 | − | 0.0367485i | \(-0.988300\pi\) |
0.531487 | + | 0.847066i | \(0.321633\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.0000 | 0.745644 | ||||||||
\(260\) | 1.00000 | + | 3.46410i | 0.0620174 | + | 0.214834i | ||||
\(261\) | 3.00000 | 0.185695 | ||||||||
\(262\) | −10.0000 | + | 17.3205i | −0.617802 | + | 1.07006i | ||||
\(263\) | 12.0000 | − | 20.7846i | 0.739952 | − | 1.28163i | −0.212565 | − | 0.977147i | \(-0.568182\pi\) |
0.952517 | − | 0.304487i | \(-0.0984850\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.00000 | 0.552866 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.00000 | 0.244339 | ||||||||
\(269\) | 9.00000 | + | 15.5885i | 0.548740 | + | 0.950445i | 0.998361 | + | 0.0572259i | \(0.0182255\pi\) |
−0.449622 | + | 0.893219i | \(0.648441\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.0000 | − | 17.3205i | 0.607457 | − | 1.05215i | −0.384201 | − | 0.923249i | \(-0.625523\pi\) |
0.991658 | − | 0.128897i | \(-0.0411435\pi\) | |||||||
\(272\) | 3.00000 | 0.181902 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.00000 | −0.543710 | ||||||||
\(275\) | 8.00000 | − | 13.8564i | 0.482418 | − | 0.835573i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.50000 | + | 7.79423i | 0.270379 | + | 0.468310i | 0.968959 | − | 0.247222i | \(-0.0795177\pi\) |
−0.698580 | + | 0.715532i | \(0.746184\pi\) | |||||||
\(278\) | 16.0000 | 0.959616 | ||||||||
\(279\) | 6.00000 | + | 10.3923i | 0.359211 | + | 0.622171i | ||||
\(280\) | 2.00000 | + | 3.46410i | 0.119523 | + | 0.207020i | ||||
\(281\) | −5.00000 | −0.298275 | −0.149137 | − | 0.988816i | \(-0.547650\pi\) | ||||
−0.149137 | + | 0.988816i | \(0.547650\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0000 | + | 24.2487i | −0.832214 | + | 1.44144i | 0.0640654 | + | 0.997946i | \(0.479593\pi\) |
−0.896279 | + | 0.443491i | \(0.853740\pi\) | |||||||
\(284\) | 4.00000 | − | 6.92820i | 0.237356 | − | 0.411113i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.00000 | − | 13.8564i | −0.236525 | − | 0.819346i | ||||
\(287\) | −36.0000 | −2.12501 | ||||||||
\(288\) | 1.50000 | − | 2.59808i | 0.0883883 | − | 0.153093i | ||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | −0.500000 | − | 0.866025i | −0.0293610 | − | 0.0508548i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.50000 | − | 9.52628i | −0.321863 | − | 0.557483i | ||||
\(293\) | 2.50000 | + | 4.33013i | 0.146052 | + | 0.252969i | 0.929765 | − | 0.368154i | \(-0.120010\pi\) |
−0.783713 | + | 0.621123i | \(0.786677\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.00000 | − | 3.46410i | −0.116445 | − | 0.201688i | ||||
\(296\) | −1.50000 | + | 2.59808i | −0.0871857 | + | 0.151010i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0000 | 0.868927 | ||||||||
\(299\) | 10.0000 | − | 10.3923i | 0.578315 | − | 0.601003i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.0000 | − | 27.7128i | 0.922225 | − | 1.59734i | ||||
\(302\) | −6.00000 | + | 10.3923i | −0.345261 | + | 0.598010i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.50000 | + | 6.06218i | 0.200409 | + | 0.347119i | ||||
\(306\) | 4.50000 | + | 7.79423i | 0.257248 | + | 0.445566i | ||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | −8.00000 | − | 13.8564i | −0.455842 | − | 0.789542i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.00000 | − | 3.46410i | 0.113592 | − | 0.196748i | ||||
\(311\) | −24.0000 | −1.36092 | −0.680458 | − | 0.732787i | \(-0.738219\pi\) | ||||
−0.680458 | + | 0.732787i | \(0.738219\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.0000 | −1.24351 | −0.621757 | − | 0.783210i | \(-0.713581\pi\) | ||||
−0.621757 | + | 0.783210i | \(0.713581\pi\) | |||||||
\(314\) | −5.50000 | + | 9.52628i | −0.310383 | + | 0.537599i | ||||
\(315\) | −6.00000 | + | 10.3923i | −0.338062 | + | 0.585540i | ||||
\(316\) | 2.00000 | + | 3.46410i | 0.112509 | + | 0.194871i | ||||
\(317\) | 3.00000 | 0.168497 | 0.0842484 | − | 0.996445i | \(-0.473151\pi\) | ||||
0.0842484 | + | 0.996445i | \(0.473151\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.00000 | + | 3.46410i | 0.111979 | + | 0.193952i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.00000 | − | 13.8564i | 0.445823 | − | 0.772187i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 9.00000 | 0.500000 | ||||||||
\(325\) | −14.0000 | − | 3.46410i | −0.776580 | − | 0.192154i | ||||
\(326\) | 8.00000 | 0.443079 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.50000 | − | 7.79423i | 0.248471 | − | 0.430364i | ||||
\(329\) | 16.0000 | + | 27.7128i | 0.882109 | + | 1.52786i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.00000 | − | 6.92820i | −0.219860 | − | 0.380808i | 0.734905 | − | 0.678170i | \(-0.237227\pi\) |
−0.954765 | + | 0.297361i | \(0.903893\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −9.00000 | −0.493197 | ||||||||
\(334\) | −6.00000 | − | 10.3923i | −0.328305 | − | 0.568642i | ||||
\(335\) | 2.00000 | − | 3.46410i | 0.109272 | − | 0.189264i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.0000 | 1.25289 | 0.626445 | − | 0.779466i | \(-0.284509\pi\) | ||||
0.626445 | + | 0.779466i | \(0.284509\pi\) | |||||||
\(338\) | −11.0000 | + | 6.92820i | −0.598321 | + | 0.376845i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.50000 | − | 2.59808i | 0.0813489 | − | 0.140900i | ||||
\(341\) | −8.00000 | + | 13.8564i | −0.433224 | + | 0.750366i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.00000 | 0.431959 | ||||||||
\(344\) | 4.00000 | + | 6.92820i | 0.215666 | + | 0.373544i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.0000 | 0.752645 | ||||||||
\(347\) | −6.00000 | − | 10.3923i | −0.322097 | − | 0.557888i | 0.658824 | − | 0.752297i | \(-0.271054\pi\) |
−0.980921 | + | 0.194409i | \(0.937721\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.00000 | − | 1.73205i | 0.0535288 | − | 0.0927146i | −0.838019 | − | 0.545640i | \(-0.816286\pi\) |
0.891548 | + | 0.452926i | \(0.149620\pi\) | |||||||
\(350\) | −16.0000 | −0.855236 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.00000 | 0.213201 | ||||||||
\(353\) | −3.50000 | + | 6.06218i | −0.186286 | + | 0.322657i | −0.944009 | − | 0.329919i | \(-0.892979\pi\) |
0.757723 | + | 0.652576i | \(0.226312\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.00000 | − | 6.92820i | −0.212298 | − | 0.367711i | ||||
\(356\) | −6.00000 | −0.317999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0000 | + | 20.7846i | 0.634220 | + | 1.09850i | ||||
\(359\) | 24.0000 | 1.26667 | 0.633336 | − | 0.773877i | \(-0.281685\pi\) | ||||
0.633336 | + | 0.773877i | \(0.281685\pi\) | |||||||
\(360\) | −1.50000 | − | 2.59808i | −0.0790569 | − | 0.136931i | ||||
\(361\) | 9.50000 | − | 16.4545i | 0.500000 | − | 0.866025i | ||||
\(362\) | 10.5000 | − | 18.1865i | 0.551868 | − | 0.955863i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.0000 | + | 10.3923i | −0.524142 | + | 0.544705i | ||||
\(365\) | −11.0000 | −0.575766 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.0000 | − | 24.2487i | 0.730794 | − | 1.26577i | −0.225750 | − | 0.974185i | \(-0.572483\pi\) |
0.956544 | − | 0.291587i | \(-0.0941834\pi\) | |||||||
\(368\) | 2.00000 | + | 3.46410i | 0.104257 | + | 0.180579i | ||||
\(369\) | 27.0000 | 1.40556 | ||||||||
\(370\) | 1.50000 | + | 2.59808i | 0.0779813 | + | 0.135068i | ||||
\(371\) | 18.0000 | + | 31.1769i | 0.934513 | + | 1.61862i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.50000 | + | 11.2583i | 0.336557 | + | 0.582934i | 0.983783 | − | 0.179364i | \(-0.0574041\pi\) |
−0.647225 | + | 0.762299i | \(0.724071\pi\) | |||||||
\(374\) | −6.00000 | + | 10.3923i | −0.310253 | + | 0.537373i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.00000 | −0.412568 | ||||||||
\(377\) | 2.50000 | − | 2.59808i | 0.128757 | − | 0.133808i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.00000 | − | 6.92820i | 0.205466 | − | 0.355878i | −0.744815 | − | 0.667271i | \(-0.767462\pi\) |
0.950281 | + | 0.311393i | \(0.100796\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.0000 | −1.02329 | ||||||||
\(383\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −16.0000 | −0.815436 | ||||||||
\(386\) | −5.50000 | − | 9.52628i | −0.279943 | − | 0.484875i | ||||
\(387\) | −12.0000 | + | 20.7846i | −0.609994 | + | 1.05654i | ||||
\(388\) | −1.00000 | + | 1.73205i | −0.0507673 | + | 0.0879316i | ||||
\(389\) | −9.00000 | −0.456318 | −0.228159 | − | 0.973624i | \(-0.573271\pi\) | ||||
−0.228159 | + | 0.973624i | \(0.573271\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.0000 | −0.606866 | ||||||||
\(392\) | −4.50000 | + | 7.79423i | −0.227284 | + | 0.393668i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.00000 | − | 5.19615i | −0.151138 | − | 0.261778i | ||||
\(395\) | 4.00000 | 0.201262 | ||||||||
\(396\) | 6.00000 | + | 10.3923i | 0.301511 | + | 0.522233i | ||||
\(397\) | −7.00000 | − | 12.1244i | −0.351320 | − | 0.608504i | 0.635161 | − | 0.772380i | \(-0.280934\pi\) |
−0.986481 | + | 0.163876i | \(0.947600\pi\) | |||||||
\(398\) | −4.00000 | −0.200502 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.00000 | − | 3.46410i | 0.100000 | − | 0.173205i | ||||
\(401\) | −1.50000 | + | 2.59808i | −0.0749064 | + | 0.129742i | −0.901046 | − | 0.433724i | \(-0.857199\pi\) |
0.826139 | + | 0.563466i | \(0.190532\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.0000 | + | 3.46410i | 0.697390 | + | 0.172559i | ||||
\(404\) | 7.00000 | 0.348263 | ||||||||
\(405\) | 4.50000 | − | 7.79423i | 0.223607 | − | 0.387298i | ||||
\(406\) | 2.00000 | − | 3.46410i | 0.0992583 | − | 0.171920i | ||||
\(407\) | −6.00000 | − | 10.3923i | −0.297409 | − | 0.515127i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.5000 | − | 26.8468i | −0.766426 | − | 1.32749i | −0.939490 | − | 0.342578i | \(-0.888700\pi\) |
0.173064 | − | 0.984911i | \(-0.444633\pi\) | |||||||
\(410\) | −4.50000 | − | 7.79423i | −0.222239 | − | 0.384930i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.00000 | + | 6.92820i | 0.197066 | + | 0.341328i | ||||
\(413\) | 8.00000 | − | 13.8564i | 0.393654 | − | 0.681829i | ||||
\(414\) | −6.00000 | + | 10.3923i | −0.294884 | + | 0.510754i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.00000 | − | 3.46410i | −0.0490290 | − | 0.169842i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.00000 | + | 10.3923i | −0.293119 | + | 0.507697i | −0.974546 | − | 0.224189i | \(-0.928027\pi\) |
0.681426 | + | 0.731887i | \(0.261360\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.00000 | −0.243685 | −0.121843 | − | 0.992549i | \(-0.538880\pi\) | ||||
−0.121843 | + | 0.992549i | \(0.538880\pi\) | |||||||
\(422\) | −10.0000 | − | 17.3205i | −0.486792 | − | 0.843149i | ||||
\(423\) | −12.0000 | − | 20.7846i | −0.583460 | − | 1.01058i | ||||
\(424\) | −9.00000 | −0.437079 | ||||||||
\(425\) | 6.00000 | + | 10.3923i | 0.291043 | + | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −14.0000 | + | 24.2487i | −0.677507 | + | 1.17348i | ||||
\(428\) | −4.00000 | −0.193347 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.00000 | 0.385794 | ||||||||
\(431\) | 12.0000 | − | 20.7846i | 0.578020 | − | 1.00116i | −0.417687 | − | 0.908591i | \(-0.637159\pi\) |
0.995706 | − | 0.0925683i | \(-0.0295076\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.50000 | + | 4.33013i | 0.120142 | + | 0.208093i | 0.919824 | − | 0.392332i | \(-0.128332\pi\) |
−0.799681 | + | 0.600425i | \(0.794998\pi\) | |||||||
\(434\) | 16.0000 | 0.768025 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.00000 | + | 1.73205i | 0.0478913 | + | 0.0829502i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.00000 | + | 6.92820i | −0.190910 | + | 0.330665i | −0.945552 | − | 0.325471i | \(-0.894477\pi\) |
0.754642 | + | 0.656136i | \(0.227810\pi\) | |||||||
\(440\) | 2.00000 | − | 3.46410i | 0.0953463 | − | 0.165145i | ||||
\(441\) | −27.0000 | −1.28571 | ||||||||
\(442\) | 10.5000 | + | 2.59808i | 0.499434 | + | 0.123578i | ||||
\(443\) | 24.0000 | 1.14027 | 0.570137 | − | 0.821549i | \(-0.306890\pi\) | ||||
0.570137 | + | 0.821549i | \(0.306890\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.00000 | + | 5.19615i | −0.142214 | + | 0.246321i | ||||
\(446\) | −6.00000 | − | 10.3923i | −0.284108 | − | 0.492090i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.00000 | − | 3.46410i | −0.0944911 | − | 0.163663i | ||||
\(449\) | −17.0000 | − | 29.4449i | −0.802280 | − | 1.38959i | −0.918112 | − | 0.396320i | \(-0.870287\pi\) |
0.115833 | − | 0.993269i | \(-0.463046\pi\) | |||||||
\(450\) | 12.0000 | 0.565685 | ||||||||
\(451\) | 18.0000 | + | 31.1769i | 0.847587 | + | 1.46806i | ||||
\(452\) | 0.500000 | − | 0.866025i | 0.0235180 | − | 0.0407344i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 24.0000 | 1.12638 | ||||||||
\(455\) | 4.00000 | + | 13.8564i | 0.187523 | + | 0.649598i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.5000 | + | 26.8468i | −0.725059 | + | 1.25584i | 0.233890 | + | 0.972263i | \(0.424854\pi\) |
−0.958950 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(458\) | −3.00000 | + | 5.19615i | −0.140181 | + | 0.242800i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.00000 | 0.186501 | ||||||||
\(461\) | 16.5000 | + | 28.5788i | 0.768482 | + | 1.33105i | 0.938386 | + | 0.345589i | \(0.112321\pi\) |
−0.169904 | + | 0.985461i | \(0.554346\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.0000 | 0.743583 | 0.371792 | − | 0.928316i | \(-0.378744\pi\) | ||||
0.371792 | + | 0.928316i | \(0.378744\pi\) | |||||||
\(464\) | 0.500000 | + | 0.866025i | 0.0232119 | + | 0.0402042i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.00000 | + | 8.66025i | −0.231621 | + | 0.401179i | ||||
\(467\) | 20.0000 | 0.925490 | 0.462745 | − | 0.886492i | \(-0.346865\pi\) | ||||
0.462745 | + | 0.886492i | \(0.346865\pi\) | |||||||
\(468\) | 7.50000 | − | 7.79423i | 0.346688 | − | 0.360288i | ||||
\(469\) | 16.0000 | 0.738811 | ||||||||
\(470\) | −4.00000 | + | 6.92820i | −0.184506 | + | 0.319574i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.00000 | + | 3.46410i | 0.0920575 | + | 0.159448i | ||||
\(473\) | −32.0000 | −1.47136 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0000 | 0.550019 | ||||||||
\(477\) | −13.5000 | − | 23.3827i | −0.618123 | − | 1.07062i | ||||
\(478\) | 6.00000 | − | 10.3923i | 0.274434 | − | 0.475333i | ||||
\(479\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.50000 | + | 7.79423i | −0.341971 | + | 0.355386i | ||||
\(482\) | 3.00000 | 0.136646 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.50000 | + | 4.33013i | −0.113636 | + | 0.196824i | ||||
\(485\) | 1.00000 | + | 1.73205i | 0.0454077 | + | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.00000 | + | 13.8564i | 0.362515 | + | 0.627894i | 0.988374 | − | 0.152042i | \(-0.0485850\pi\) |
−0.625859 | + | 0.779936i | \(0.715252\pi\) | |||||||
\(488\) | −3.50000 | − | 6.06218i | −0.158438 | − | 0.274422i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.50000 | + | 7.79423i | 0.203289 | + | 0.352107i | ||||
\(491\) | 4.00000 | − | 6.92820i | 0.180517 | − | 0.312665i | −0.761539 | − | 0.648119i | \(-0.775556\pi\) |
0.942057 | + | 0.335453i | \(0.108889\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.00000 | −0.135113 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.0000 | 0.539360 | ||||||||
\(496\) | −2.00000 | + | 3.46410i | −0.0898027 | + | 0.155543i | ||||
\(497\) | 16.0000 | − | 27.7128i | 0.717698 | − | 1.24309i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −32.0000 | −1.43252 | −0.716258 | − | 0.697835i | \(-0.754147\pi\) | ||||
−0.716258 | + | 0.697835i | \(0.754147\pi\) | |||||||
\(500\) | −4.50000 | − | 7.79423i | −0.201246 | − | 0.348569i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.0000 | −0.535586 | ||||||||
\(503\) | −8.00000 | − | 13.8564i | −0.356702 | − | 0.617827i | 0.630705 | − | 0.776022i | \(-0.282766\pi\) |
−0.987408 | + | 0.158196i | \(0.949432\pi\) | |||||||
\(504\) | 6.00000 | − | 10.3923i | 0.267261 | − | 0.462910i | ||||
\(505\) | 3.50000 | − | 6.06218i | 0.155748 | − | 0.269763i | ||||
\(506\) | −16.0000 | −0.711287 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.00000 | −0.354943 | ||||||||
\(509\) | −21.5000 | + | 37.2391i | −0.952971 | + | 1.65059i | −0.214026 | + | 0.976828i | \(0.568658\pi\) |
−0.738945 | + | 0.673766i | \(0.764676\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.0000 | − | 38.1051i | −0.973223 | − | 1.68567i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −7.50000 | − | 12.9904i | −0.330811 | − | 0.572981i | ||||
\(515\) | 8.00000 | 0.352522 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.0000 | − | 27.7128i | 0.703679 | − | 1.21881i | ||||
\(518\) | −6.00000 | + | 10.3923i | −0.263625 | + | 0.456612i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.50000 | − | 0.866025i | −0.153485 | − | 0.0379777i | ||||
\(521\) | 39.0000 | 1.70862 | 0.854311 | − | 0.519763i | \(-0.173980\pi\) | ||||
0.854311 | + | 0.519763i | \(0.173980\pi\) | |||||||
\(522\) | −1.50000 | + | 2.59808i | −0.0656532 | + | 0.113715i | ||||
\(523\) | −18.0000 | + | 31.1769i | −0.787085 | + | 1.36327i | 0.140660 | + | 0.990058i | \(0.455077\pi\) |
−0.927746 | + | 0.373213i | \(0.878256\pi\) | |||||||
\(524\) | −10.0000 | − | 17.3205i | −0.436852 | − | 0.756650i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.0000 | + | 20.7846i | 0.523225 | + | 0.906252i | ||||
\(527\) | −6.00000 | − | 10.3923i | −0.261364 | − | 0.452696i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | ||||
\(530\) | −4.50000 | + | 7.79423i | −0.195468 | + | 0.338560i | ||||
\(531\) | −6.00000 | + | 10.3923i | −0.260378 | + | 0.450988i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.5000 | − | 23.3827i | 0.974583 | − | 1.01282i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.00000 | + | 3.46410i | −0.0864675 | + | 0.149766i | ||||
\(536\) | −2.00000 | + | 3.46410i | −0.0863868 | + | 0.149626i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.0000 | −0.776035 | ||||||||
\(539\) | −18.0000 | − | 31.1769i | −0.775315 | − | 1.34288i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −25.0000 | −1.07483 | −0.537417 | − | 0.843317i | \(-0.680600\pi\) | ||||
−0.537417 | + | 0.843317i | \(0.680600\pi\) | |||||||
\(542\) | 10.0000 | + | 17.3205i | 0.429537 | + | 0.743980i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.50000 | + | 2.59808i | −0.0643120 | + | 0.111392i | ||||
\(545\) | 2.00000 | 0.0856706 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.0000 | 0.684111 | 0.342055 | − | 0.939680i | \(-0.388877\pi\) | ||||
0.342055 | + | 0.939680i | \(0.388877\pi\) | |||||||
\(548\) | 4.50000 | − | 7.79423i | 0.192230 | − | 0.332953i | ||||
\(549\) | 10.5000 | − | 18.1865i | 0.448129 | − | 0.776182i | ||||
\(550\) | 8.00000 | + | 13.8564i | 0.341121 | + | 0.590839i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.00000 | + | 13.8564i | 0.340195 | + | 0.589234i | ||||
\(554\) | −9.00000 | −0.382373 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.00000 | + | 13.8564i | −0.339276 | + | 0.587643i | ||||
\(557\) | −19.5000 | + | 33.7750i | −0.826242 | + | 1.43109i | 0.0747252 | + | 0.997204i | \(0.476192\pi\) |
−0.900967 | + | 0.433888i | \(0.857141\pi\) | |||||||
\(558\) | −12.0000 | −0.508001 | ||||||||
\(559\) | 8.00000 | + | 27.7128i | 0.338364 | + | 1.17213i | ||||
\(560\) | −4.00000 | −0.169031 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.50000 | − | 4.33013i | 0.105456 | − | 0.182655i | ||||
\(563\) | 2.00000 | + | 3.46410i | 0.0842900 | + | 0.145994i | 0.905088 | − | 0.425223i | \(-0.139804\pi\) |
−0.820798 | + | 0.571218i | \(0.806471\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.500000 | − | 0.866025i | −0.0210352 | − | 0.0364340i | ||||
\(566\) | −14.0000 | − | 24.2487i | −0.588464 | − | 1.01925i | ||||
\(567\) | 36.0000 | 1.51186 | ||||||||
\(568\) | 4.00000 | + | 6.92820i | 0.167836 | + | 0.290701i | ||||
\(569\) | −5.00000 | + | 8.66025i | −0.209611 | + | 0.363057i | −0.951592 | − | 0.307364i | \(-0.900553\pi\) |
0.741981 | + | 0.670421i | \(0.233886\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.0000 | 0.502184 | 0.251092 | − | 0.967963i | \(-0.419210\pi\) | ||||
0.251092 | + | 0.967963i | \(0.419210\pi\) | |||||||
\(572\) | 14.0000 | + | 3.46410i | 0.585369 | + | 0.144841i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 18.0000 | − | 31.1769i | 0.751305 | − | 1.30130i | ||||
\(575\) | −8.00000 | + | 13.8564i | −0.333623 | + | 0.577852i | ||||
\(576\) | 1.50000 | + | 2.59808i | 0.0625000 | + | 0.108253i | ||||
\(577\) | 39.0000 | 1.62359 | 0.811796 | − | 0.583942i | \(-0.198490\pi\) | ||||
0.811796 | + | 0.583942i | \(0.198490\pi\) | |||||||
\(578\) | 4.00000 | + | 6.92820i | 0.166378 | + | 0.288175i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.00000 | 0.0415227 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.0000 | − | 31.1769i | 0.745484 | − | 1.29122i | ||||
\(584\) | 11.0000 | 0.455183 | ||||||||
\(585\) | −3.00000 | − | 10.3923i | −0.124035 | − | 0.429669i | ||||
\(586\) | −5.00000 | −0.206548 | ||||||||
\(587\) | 8.00000 | − | 13.8564i | 0.330195 | − | 0.571915i | −0.652355 | − | 0.757914i | \(-0.726219\pi\) |
0.982550 | + | 0.185999i | \(0.0595520\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 4.00000 | 0.164677 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.50000 | − | 2.59808i | −0.0616496 | − | 0.106780i | ||||
\(593\) | −1.00000 | −0.0410651 | −0.0205325 | − | 0.999789i | \(-0.506536\pi\) | ||||
−0.0205325 | + | 0.999789i | \(0.506536\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.00000 | − | 10.3923i | 0.245976 | − | 0.426043i | ||||
\(596\) | −7.50000 | + | 12.9904i | −0.307212 | + | 0.532107i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.00000 | + | 13.8564i | 0.163572 | + | 0.566631i | ||||
\(599\) | −44.0000 | −1.79779 | −0.898896 | − | 0.438163i | \(-0.855629\pi\) | ||||
−0.898896 | + | 0.438163i | \(0.855629\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.50000 | + | 16.4545i | −0.387513 | + | 0.671192i | −0.992114 | − | 0.125336i | \(-0.959999\pi\) |
0.604601 | + | 0.796528i | \(0.293332\pi\) | |||||||
\(602\) | 16.0000 | + | 27.7128i | 0.652111 | + | 1.12949i | ||||
\(603\) | −12.0000 | −0.488678 | ||||||||
\(604\) | −6.00000 | − | 10.3923i | −0.244137 | − | 0.422857i | ||||
\(605\) | 2.50000 | + | 4.33013i | 0.101639 | + | 0.176045i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.00000 | −0.283422 | ||||||||
\(611\) | −28.0000 | − | 6.92820i | −1.13276 | − | 0.280285i | ||||
\(612\) | −9.00000 | −0.363803 | ||||||||
\(613\) | −5.50000 | + | 9.52628i | −0.222143 | + | 0.384763i | −0.955458 | − | 0.295126i | \(-0.904638\pi\) |
0.733316 | + | 0.679888i | \(0.237972\pi\) | |||||||
\(614\) | 14.0000 | − | 24.2487i | 0.564994 | − | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 16.0000 | 0.644658 | ||||||||
\(617\) | 14.5000 | + | 25.1147i | 0.583748 | + | 1.01108i | 0.995030 | + | 0.0995732i | \(0.0317477\pi\) |
−0.411282 | + | 0.911508i | \(0.634919\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.00000 | 0.160774 | 0.0803868 | − | 0.996764i | \(-0.474384\pi\) | ||||
0.0803868 | + | 0.996764i | \(0.474384\pi\) | |||||||
\(620\) | 2.00000 | + | 3.46410i | 0.0803219 | + | 0.139122i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.0000 | − | 20.7846i | 0.481156 | − | 0.833387i | ||||
\(623\) | −24.0000 | −0.961540 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 11.0000 | − | 19.0526i | 0.439648 | − | 0.761493i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.50000 | − | 9.52628i | −0.219474 | − | 0.380140i | ||||
\(629\) | 9.00000 | 0.358854 | ||||||||
\(630\) | −6.00000 | − | 10.3923i | −0.239046 | − | 0.414039i | ||||
\(631\) | 4.00000 | + | 6.92820i | 0.159237 | + | 0.275807i | 0.934594 | − | 0.355716i | \(-0.115763\pi\) |
−0.775356 | + | 0.631524i | \(0.782430\pi\) | |||||||
\(632\) | −4.00000 | −0.159111 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.50000 | + | 2.59808i | −0.0595726 | + | 0.103183i | ||||
\(635\) | −4.00000 | + | 6.92820i | −0.158735 | + | 0.274937i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −22.5000 | + | 23.3827i | −0.891482 | + | 0.926456i | ||||
\(638\) | −4.00000 | −0.158362 | ||||||||
\(639\) | −12.0000 | + | 20.7846i | −0.474713 | + | 0.822226i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | −9.50000 | − | 16.4545i | −0.375227 | − | 0.649913i | 0.615134 | − | 0.788423i | \(-0.289102\pi\) |
−0.990361 | + | 0.138510i | \(0.955769\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.0000 | − | 38.1051i | −0.867595 | − | 1.50272i | −0.864447 | − | 0.502724i | \(-0.832331\pi\) |
−0.00314839 | − | 0.999995i | \(-0.501002\pi\) | |||||||
\(644\) | 8.00000 | + | 13.8564i | 0.315244 | + | 0.546019i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −14.0000 | + | 24.2487i | −0.550397 | + | 0.953315i | 0.447849 | + | 0.894109i | \(0.352190\pi\) |
−0.998246 | + | 0.0592060i | \(0.981143\pi\) | |||||||
\(648\) | −4.50000 | + | 7.79423i | −0.176777 | + | 0.306186i | ||||
\(649\) | −16.0000 | −0.628055 | ||||||||
\(650\) | 10.0000 | − | 10.3923i | 0.392232 | − | 0.407620i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.00000 | + | 6.92820i | −0.156652 | + | 0.271329i | ||||
\(653\) | 9.00000 | − | 15.5885i | 0.352197 | − | 0.610023i | −0.634437 | − | 0.772975i | \(-0.718768\pi\) |
0.986634 | + | 0.162951i | \(0.0521013\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.0000 | −0.781465 | ||||||||
\(656\) | 4.50000 | + | 7.79423i | 0.175695 | + | 0.304314i | ||||
\(657\) | 16.5000 | + | 28.5788i | 0.643726 | + | 1.11497i | ||||
\(658\) | −32.0000 | −1.24749 | ||||||||
\(659\) | −24.0000 | − | 41.5692i | −0.934907 | − | 1.61931i | −0.774799 | − | 0.632207i | \(-0.782149\pi\) |
−0.160108 | − | 0.987099i | \(-0.551184\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.5000 | − | 42.4352i | 0.952940 | − | 1.65054i | 0.213925 | − | 0.976850i | \(-0.431375\pi\) |
0.739014 | − | 0.673690i | \(-0.235292\pi\) | |||||||
\(662\) | 8.00000 | 0.310929 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.50000 | − | 7.79423i | 0.174371 | − | 0.302020i | ||||
\(667\) | −2.00000 | − | 3.46410i | −0.0774403 | − | 0.134131i | ||||
\(668\) | 12.0000 | 0.464294 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.00000 | + | 3.46410i | 0.0772667 | + | 0.133830i | ||||
\(671\) | 28.0000 | 1.08093 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.5000 | − | 25.1147i | 0.558934 | − | 0.968102i | −0.438652 | − | 0.898657i | \(-0.644544\pi\) |
0.997586 | − | 0.0694449i | \(-0.0221228\pi\) | |||||||
\(674\) | −11.5000 | + | 19.9186i | −0.442963 | + | 0.767235i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.500000 | − | 12.9904i | −0.0192308 | − | 0.499630i | ||||
\(677\) | 6.00000 | 0.230599 | 0.115299 | − | 0.993331i | \(-0.463217\pi\) | ||||
0.115299 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.00000 | + | 6.92820i | −0.153506 | + | 0.265880i | ||||
\(680\) | 1.50000 | + | 2.59808i | 0.0575224 | + | 0.0996317i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.00000 | − | 13.8564i | −0.306336 | − | 0.530589i | ||||
\(683\) | 22.0000 | + | 38.1051i | 0.841807 | + | 1.45805i | 0.888366 | + | 0.459136i | \(0.151841\pi\) |
−0.0465592 | + | 0.998916i | \(0.514826\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.50000 | − | 7.79423i | −0.171936 | − | 0.297802i | ||||
\(686\) | −4.00000 | + | 6.92820i | −0.152721 | + | 0.264520i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.00000 | −0.304997 | ||||||||
\(689\) | −31.5000 | − | 7.79423i | −1.20005 | − | 0.296936i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.0000 | − | 17.3205i | 0.380418 | − | 0.658903i | −0.610704 | − | 0.791859i | \(-0.709113\pi\) |
0.991122 | + | 0.132956i | \(0.0424468\pi\) | |||||||
\(692\) | −7.00000 | + | 12.1244i | −0.266100 | + | 0.460899i | ||||
\(693\) | 24.0000 | + | 41.5692i | 0.911685 | + | 1.57908i | ||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 8.00000 | + | 13.8564i | 0.303457 | + | 0.525603i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.0000 | −1.02270 | ||||||||
\(698\) | 1.00000 | + | 1.73205i | 0.0378506 | + | 0.0655591i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.00000 | − | 13.8564i | 0.302372 | − | 0.523723i | ||||
\(701\) | 30.0000 | 1.13308 | 0.566542 | − | 0.824033i | \(-0.308281\pi\) | ||||
0.566542 | + | 0.824033i | \(0.308281\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −2.00000 | + | 3.46410i | −0.0753778 | + | 0.130558i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.50000 | − | 6.06218i | −0.131724 | − | 0.228153i | ||||
\(707\) | 28.0000 | 1.05305 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.50000 | + | 11.2583i | 0.244113 | + | 0.422815i | 0.961882 | − | 0.273466i | \(-0.0881700\pi\) |
−0.717769 | + | 0.696281i | \(0.754837\pi\) | |||||||
\(710\) | 8.00000 | 0.300235 | ||||||||
\(711\) | −6.00000 | − | 10.3923i | −0.225018 | − | 0.389742i | ||||
\(712\) | 3.00000 | − | 5.19615i | 0.112430 | − | 0.194734i | ||||
\(713\) | 8.00000 | − | 13.8564i | 0.299602 | − | 0.518927i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.0000 | − | 10.3923i | 0.373979 | − | 0.388650i | ||||
\(716\) | −24.0000 | −0.896922 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.0000 | + | 20.7846i | −0.447836 | + | 0.775675i | ||||
\(719\) | 14.0000 | + | 24.2487i | 0.522112 | + | 0.904324i | 0.999669 | + | 0.0257237i | \(0.00818900\pi\) |
−0.477557 | + | 0.878601i | \(0.658478\pi\) | |||||||
\(720\) | 3.00000 | 0.111803 | ||||||||
\(721\) | 16.0000 | + | 27.7128i | 0.595871 | + | 1.03208i | ||||
\(722\) | 9.50000 | + | 16.4545i | 0.353553 | + | 0.612372i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.5000 | + | 18.1865i | 0.390229 | + | 0.675897i | ||||
\(725\) | −2.00000 | + | 3.46410i | −0.0742781 | + | 0.128654i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.0000 | 1.03846 | 0.519231 | − | 0.854634i | \(-0.326218\pi\) | ||||
0.519231 | + | 0.854634i | \(0.326218\pi\) | |||||||
\(728\) | −4.00000 | − | 13.8564i | −0.148250 | − | 0.513553i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 5.50000 | − | 9.52628i | 0.203564 | − | 0.352583i | ||||
\(731\) | 12.0000 | − | 20.7846i | 0.443836 | − | 0.768747i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.00000 | −0.0369358 | −0.0184679 | − | 0.999829i | \(-0.505879\pi\) | ||||
−0.0184679 | + | 0.999829i | \(0.505879\pi\) | |||||||
\(734\) | 14.0000 | + | 24.2487i | 0.516749 | + | 0.895036i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.00000 | −0.147442 | ||||||||
\(737\) | −8.00000 | − | 13.8564i | −0.294684 | − | 0.510407i | ||||
\(738\) | −13.5000 | + | 23.3827i | −0.496942 | + | 0.860729i | ||||
\(739\) | 12.0000 | − | 20.7846i | 0.441427 | − | 0.764574i | −0.556369 | − | 0.830936i | \(-0.687806\pi\) |
0.997796 | + | 0.0663614i | \(0.0211390\pi\) | |||||||
\(740\) | −3.00000 | −0.110282 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −36.0000 | −1.32160 | ||||||||
\(743\) | 4.00000 | − | 6.92820i | 0.146746 | − | 0.254171i | −0.783277 | − | 0.621673i | \(-0.786453\pi\) |
0.930023 | + | 0.367502i | \(0.119787\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.50000 | + | 12.9904i | 0.274779 | + | 0.475931i | ||||
\(746\) | −13.0000 | −0.475964 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.00000 | − | 10.3923i | −0.219382 | − | 0.379980i | ||||
\(749\) | −16.0000 | −0.584627 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.0000 | + | 20.7846i | −0.437886 | + | 0.758441i | −0.997526 | − | 0.0702946i | \(-0.977606\pi\) |
0.559640 | + | 0.828736i | \(0.310939\pi\) | |||||||
\(752\) | 4.00000 | − | 6.92820i | 0.145865 | − | 0.252646i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.00000 | + | 3.46410i | 0.0364179 | + | 0.126155i | ||||
\(755\) | −12.0000 | −0.436725 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.00000 | + | 5.19615i | −0.109037 | + | 0.188857i | −0.915380 | − | 0.402590i | \(-0.868110\pi\) |
0.806343 | + | 0.591448i | \(0.201443\pi\) | |||||||
\(758\) | 4.00000 | + | 6.92820i | 0.145287 | + | 0.251644i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.0000 | − | 36.3731i | −0.761249 | − | 1.31852i | −0.942207 | − | 0.335032i | \(-0.891253\pi\) |
0.180957 | − | 0.983491i | \(-0.442080\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.00000 | + | 6.92820i | 0.144810 | + | 0.250818i | ||||
\(764\) | 10.0000 | − | 17.3205i | 0.361787 | − | 0.626634i | ||||
\(765\) | −4.50000 | + | 7.79423i | −0.162698 | + | 0.281801i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.00000 | + | 13.8564i | 0.144432 | + | 0.500326i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.0000 | − | 25.9808i | 0.540914 | − | 0.936890i | −0.457938 | − | 0.888984i | \(-0.651412\pi\) |
0.998852 | − | 0.0479061i | \(-0.0152548\pi\) | |||||||
\(770\) | 8.00000 | − | 13.8564i | 0.288300 | − | 0.499350i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.0000 | 0.395899 | ||||||||
\(773\) | −19.0000 | − | 32.9090i | −0.683383 | − | 1.18365i | −0.973942 | − | 0.226796i | \(-0.927175\pi\) |
0.290560 | − | 0.956857i | \(-0.406159\pi\) | |||||||
\(774\) | −12.0000 | − | 20.7846i | −0.431331 | − | 0.747087i | ||||
\(775\) | −16.0000 | −0.574737 | ||||||||
\(776\) | −1.00000 | − | 1.73205i | −0.0358979 | − | 0.0621770i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.50000 | − | 7.79423i | 0.161333 | − | 0.279437i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −32.0000 | −1.14505 | ||||||||
\(782\) | 6.00000 | − | 10.3923i | 0.214560 | − | 0.371628i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.50000 | − | 7.79423i | −0.160714 | − | 0.278365i | ||||
\(785\) | −11.0000 | −0.392607 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.00000 | + | 3.46410i | 0.0712923 | + | 0.123482i | 0.899468 | − | 0.436987i | \(-0.143954\pi\) |
−0.828176 | + | 0.560469i | \(0.810621\pi\) | |||||||
\(788\) | 6.00000 | 0.213741 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.00000 | + | 3.46410i | −0.0711568 | + | 0.123247i | ||||
\(791\) | 2.00000 | − | 3.46410i | 0.0711118 | − | 0.123169i | ||||
\(792\) | −12.0000 | −0.426401 | ||||||||
\(793\) | −7.00000 | − | 24.2487i | −0.248577 | − | 0.861097i | ||||
\(794\) | 14.0000 | 0.496841 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.00000 | − | 3.46410i | 0.0708881 | − | 0.122782i | ||||
\(797\) | −15.0000 | − | 25.9808i | −0.531327 | − | 0.920286i | −0.999331 | − | 0.0365596i | \(-0.988360\pi\) |
0.468004 | − | 0.883726i | \(-0.344973\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.0000 | + | 20.7846i | 0.424529 | + | 0.735307i | ||||
\(800\) | 2.00000 | + | 3.46410i | 0.0707107 | + | 0.122474i | ||||
\(801\) | 18.0000 | 0.635999 | ||||||||
\(802\) | −1.50000 | − | 2.59808i | −0.0529668 | − | 0.0917413i | ||||
\(803\) | −22.0000 | + | 38.1051i | −0.776363 | + | 1.34470i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 16.0000 | 0.563926 | ||||||||
\(806\) | −10.0000 | + | 10.3923i | −0.352235 | + | 0.366053i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.50000 | + | 6.06218i | −0.123130 | + | 0.213267i | ||||
\(809\) | −19.5000 | + | 33.7750i | −0.685583 | + | 1.18747i | 0.287670 | + | 0.957730i | \(0.407120\pi\) |
−0.973253 | + | 0.229736i | \(0.926214\pi\) | |||||||
\(810\) | 4.50000 | + | 7.79423i | 0.158114 | + | 0.273861i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | 2.00000 | + | 3.46410i | 0.0701862 | + | 0.121566i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.0000 | 0.420600 | ||||||||
\(815\) | 4.00000 | + | 6.92820i | 0.140114 | + | 0.242684i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 31.0000 | 1.08389 | ||||||||
\(819\) | 30.0000 | − | 31.1769i | 1.04828 | − | 1.08941i | ||||
\(820\) | 9.00000 | 0.314294 | ||||||||
\(821\) | −19.0000 | + | 32.9090i | −0.663105 | + | 1.14853i | 0.316691 | + | 0.948529i | \(0.397428\pi\) |
−0.979795 | + | 0.200002i | \(0.935905\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.00000 | − | 10.3923i | −0.209147 | − | 0.362253i | 0.742299 | − | 0.670069i | \(-0.233735\pi\) |
−0.951446 | + | 0.307816i | \(0.900402\pi\) | |||||||
\(824\) | −8.00000 | −0.278693 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.00000 | + | 13.8564i | 0.278356 | + | 0.482126i | ||||
\(827\) | −12.0000 | −0.417281 | −0.208640 | − | 0.977992i | \(-0.566904\pi\) | ||||
−0.208640 | + | 0.977992i | \(0.566904\pi\) | |||||||
\(828\) | −6.00000 | − | 10.3923i | −0.208514 | − | 0.361158i | ||||
\(829\) | −3.50000 | + | 6.06218i | −0.121560 | + | 0.210548i | −0.920383 | − | 0.391018i | \(-0.872123\pi\) |
0.798823 | + | 0.601566i | \(0.205456\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.50000 | + | 0.866025i | 0.121341 | + | 0.0300240i | ||||
\(833\) | 27.0000 | 0.935495 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.00000 | − | 10.3923i | 0.207639 | − | 0.359641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −6.00000 | − | 10.3923i | −0.207267 | − | 0.358996i | ||||
\(839\) | 20.0000 | + | 34.6410i | 0.690477 | + | 1.19594i | 0.971682 | + | 0.236293i | \(0.0759325\pi\) |
−0.281205 | + | 0.959648i | \(0.590734\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.0000 | + | 24.2487i | 0.482759 | + | 0.836162i | ||||
\(842\) | 2.50000 | − | 4.33013i | 0.0861557 | − | 0.149226i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 20.0000 | 0.688428 | ||||||||
\(845\) | −11.5000 | − | 6.06218i | −0.395612 | − | 0.208545i | ||||
\(846\) | 24.0000 | 0.825137 | ||||||||
\(847\) | −10.0000 | + | 17.3205i | −0.343604 | + | 0.595140i | ||||
\(848\) | 4.50000 | − | 7.79423i | 0.154531 | − | 0.267655i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.0000 | −0.411597 | ||||||||
\(851\) | 6.00000 | + | 10.3923i | 0.205677 | + | 0.356244i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.00000 | 0.239675 | 0.119838 | − | 0.992793i | \(-0.461763\pi\) | ||||
0.119838 | + | 0.992793i | \(0.461763\pi\) | |||||||
\(854\) | −14.0000 | − | 24.2487i | −0.479070 | − | 0.829774i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.00000 | − | 3.46410i | 0.0683586 | − | 0.118401i | ||||
\(857\) | −17.0000 | −0.580709 | −0.290354 | − | 0.956919i | \(-0.593773\pi\) | ||||
−0.290354 | + | 0.956919i | \(0.593773\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.0000 | 0.682391 | 0.341196 | − | 0.939992i | \(-0.389168\pi\) | ||||
0.341196 | + | 0.939992i | \(0.389168\pi\) | |||||||
\(860\) | −4.00000 | + | 6.92820i | −0.136399 | + | 0.236250i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 12.0000 | + | 20.7846i | 0.408722 | + | 0.707927i | ||||
\(863\) | 52.0000 | 1.77010 | 0.885050 | − | 0.465495i | \(-0.154124\pi\) | ||||
0.885050 | + | 0.465495i | \(0.154124\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.00000 | + | 12.1244i | 0.238007 | + | 0.412240i | ||||
\(866\) | −5.00000 | −0.169907 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.00000 | + | 13.8564i | −0.271538 | + | 0.470317i | ||||
\(869\) | 8.00000 | − | 13.8564i | 0.271381 | − | 0.470046i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.0000 | + | 10.3923i | −0.338837 | + | 0.352130i | ||||
\(872\) | −2.00000 | −0.0677285 | ||||||||
\(873\) | 3.00000 | − | 5.19615i | 0.101535 | − | 0.175863i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −18.0000 | − | 31.1769i | −0.608511 | − | 1.05397i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.50000 | − | 12.9904i | −0.253257 | − | 0.438654i | 0.711164 | − | 0.703027i | \(-0.248168\pi\) |
−0.964421 | + | 0.264373i | \(0.914835\pi\) | |||||||
\(878\) | −4.00000 | − | 6.92820i | −0.134993 | − | 0.233816i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.00000 | + | 3.46410i | 0.0674200 | + | 0.116775i | ||||
\(881\) | 4.50000 | − | 7.79423i | 0.151609 | − | 0.262594i | −0.780210 | − | 0.625517i | \(-0.784888\pi\) |
0.931819 | + | 0.362923i | \(0.118221\pi\) | |||||||
\(882\) | 13.5000 | − | 23.3827i | 0.454569 | − | 0.787336i | ||||
\(883\) | 16.0000 | 0.538443 | 0.269221 | − | 0.963078i | \(-0.413234\pi\) | ||||
0.269221 | + | 0.963078i | \(0.413234\pi\) | |||||||
\(884\) | −7.50000 | + | 7.79423i | −0.252252 | + | 0.262148i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.0000 | + | 20.7846i | −0.403148 | + | 0.698273i | ||||
\(887\) | 10.0000 | − | 17.3205i | 0.335767 | − | 0.581566i | −0.647865 | − | 0.761755i | \(-0.724338\pi\) |
0.983632 | + | 0.180190i | \(0.0576711\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.0000 | −1.07325 | ||||||||
\(890\) | −3.00000 | − | 5.19615i | −0.100560 | − | 0.174175i | ||||
\(891\) | −18.0000 | − | 31.1769i | −0.603023 | − | 1.04447i | ||||
\(892\) | 12.0000 | 0.401790 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.0000 | + | 20.7846i | −0.401116 | + | 0.694753i | ||||
\(896\) | 4.00000 | 0.133631 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 34.0000 | 1.13459 | ||||||||
\(899\) | 2.00000 | − | 3.46410i | 0.0667037 | − | 0.115534i | ||||
\(900\) | −6.00000 | + | 10.3923i | −0.200000 | + | 0.346410i | ||||
\(901\) | 13.5000 | + | 23.3827i | 0.449750 | + | 0.778990i | ||||
\(902\) | −36.0000 | −1.19867 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.500000 | + | 0.866025i | 0.0166298 | + | 0.0288036i | ||||
\(905\) | 21.0000 | 0.698064 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.0000 | − | 20.7846i | 0.398453 | − | 0.690142i | −0.595082 | − | 0.803665i | \(-0.702880\pi\) |
0.993535 | + | 0.113523i | \(0.0362137\pi\) | |||||||
\(908\) | −12.0000 | + | 20.7846i | −0.398234 | + | 0.689761i | ||||
\(909\) | −21.0000 | −0.696526 | ||||||||
\(910\) | −14.0000 | − | 3.46410i | −0.464095 | − | 0.114834i | ||||
\(911\) | −12.0000 | −0.397578 | −0.198789 | − | 0.980042i | \(-0.563701\pi\) | ||||
−0.198789 | + | 0.980042i | \(0.563701\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −15.5000 | − | 26.8468i | −0.512694 | − | 0.888013i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.00000 | − | 5.19615i | −0.0991228 | − | 0.171686i | ||||
\(917\) | −40.0000 | − | 69.2820i | −1.32092 | − | 2.28789i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.0000 | + | 41.5692i | 0.791687 | + | 1.37124i | 0.924922 | + | 0.380158i | \(0.124130\pi\) |
−0.133235 | + | 0.991084i | \(0.542536\pi\) | |||||||
\(920\) | −2.00000 | + | 3.46410i | −0.0659380 | + | 0.114208i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −33.0000 | −1.08680 | ||||||||
\(923\) | 8.00000 | + | 27.7128i | 0.263323 | + | 0.912178i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.00000 | − | 10.3923i | 0.197279 | − | 0.341697i | ||||
\(926\) | −8.00000 | + | 13.8564i | −0.262896 | + | 0.455350i | ||||
\(927\) | −12.0000 | − | 20.7846i | −0.394132 | − | 0.682656i | ||||
\(928\) | −1.00000 | −0.0328266 | ||||||||
\(929\) | 10.5000 | + | 18.1865i | 0.344494 | + | 0.596681i | 0.985262 | − | 0.171054i | \(-0.0547172\pi\) |
−0.640768 | + | 0.767735i | \(0.721384\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −5.00000 | − | 8.66025i | −0.163780 | − | 0.283676i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.0000 | + | 17.3205i | −0.327210 | + | 0.566744i | ||||
\(935\) | −12.0000 | −0.392442 | ||||||||
\(936\) | 3.00000 | + | 10.3923i | 0.0980581 | + | 0.339683i | ||||
\(937\) | −21.0000 | −0.686040 | −0.343020 | − | 0.939328i | \(-0.611450\pi\) | ||||
−0.343020 | + | 0.939328i | \(0.611450\pi\) | |||||||
\(938\) | −8.00000 | + | 13.8564i | −0.261209 | + | 0.452428i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.00000 | − | 6.92820i | −0.130466 | − | 0.225973i | ||||
\(941\) | 46.0000 | 1.49956 | 0.749779 | − | 0.661689i | \(-0.230160\pi\) | ||||
0.749779 | + | 0.661689i | \(0.230160\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.0000 | − | 31.1769i | −0.586161 | − | 1.01526i | ||||
\(944\) | −4.00000 | −0.130189 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.0000 | − | 27.7128i | 0.520205 | − | 0.901021i | ||||
\(947\) | −12.0000 | + | 20.7846i | −0.389948 | + | 0.675409i | −0.992442 | − | 0.122714i | \(-0.960840\pi\) |
0.602494 | + | 0.798123i | \(0.294174\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 38.5000 | + | 9.52628i | 1.24976 | + | 0.309236i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.00000 | + | 10.3923i | −0.194461 | + | 0.336817i | ||||
\(953\) | 11.0000 | + | 19.0526i | 0.356325 | + | 0.617173i | 0.987344 | − | 0.158595i | \(-0.0506963\pi\) |
−0.631019 | + | 0.775768i | \(0.717363\pi\) | |||||||
\(954\) | 27.0000 | 0.874157 | ||||||||
\(955\) | −10.0000 | − | 17.3205i | −0.323592 | − | 0.560478i | ||||
\(956\) | 6.00000 | + | 10.3923i | 0.194054 | + | 0.336111i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 18.0000 | − | 31.1769i | 0.581250 | − | 1.00676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | −3.00000 | − | 10.3923i | −0.0967239 | − | 0.335061i | ||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | −1.50000 | + | 2.59808i | −0.0483117 | + | 0.0836784i | ||||
\(965\) | 5.50000 | − | 9.52628i | 0.177051 | − | 0.306662i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −40.0000 | −1.28631 | −0.643157 | − | 0.765735i | \(-0.722376\pi\) | ||||
−0.643157 | + | 0.765735i | \(0.722376\pi\) | |||||||
\(968\) | −2.50000 | − | 4.33013i | −0.0803530 | − | 0.139176i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.00000 | −0.0642161 | ||||||||
\(971\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −32.0000 | + | 55.4256i | −1.02587 | + | 1.77686i | ||||
\(974\) | −16.0000 | −0.512673 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.00000 | 0.224065 | ||||||||
\(977\) | 22.5000 | − | 38.9711i | 0.719839 | − | 1.24680i | −0.241225 | − | 0.970469i | \(-0.577549\pi\) |
0.961063 | − | 0.276328i | \(-0.0891176\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 12.0000 | + | 20.7846i | 0.383522 | + | 0.664279i | ||||
\(980\) | −9.00000 | −0.287494 | ||||||||
\(981\) | −3.00000 | − | 5.19615i | −0.0957826 | − | 0.165900i | ||||
\(982\) | 4.00000 | + | 6.92820i | 0.127645 | + | 0.221088i | ||||
\(983\) | −52.0000 | −1.65854 | −0.829271 | − | 0.558846i | \(-0.811244\pi\) | ||||
−0.829271 | + | 0.558846i | \(0.811244\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.00000 | − | 5.19615i | 0.0955879 | − | 0.165563i | ||||
\(986\) | 1.50000 | − | 2.59808i | 0.0477697 | − | 0.0827396i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 32.0000 | 1.01754 | ||||||||
\(990\) | −6.00000 | + | 10.3923i | −0.190693 | + | 0.330289i | ||||
\(991\) | 12.0000 | − | 20.7846i | 0.381193 | − | 0.660245i | −0.610040 | − | 0.792370i | \(-0.708847\pi\) |
0.991233 | + | 0.132125i | \(0.0421802\pi\) | |||||||
\(992\) | −2.00000 | − | 3.46410i | −0.0635001 | − | 0.109985i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 16.0000 | + | 27.7128i | 0.507489 | + | 0.878997i | ||||
\(995\) | −2.00000 | − | 3.46410i | −0.0634043 | − | 0.109819i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.5000 | + | 21.6506i | 0.395879 | + | 0.685682i | 0.993213 | − | 0.116310i | \(-0.0371066\pi\) |
−0.597334 | + | 0.801993i | \(0.703773\pi\) | |||||||
\(998\) | 16.0000 | − | 27.7128i | 0.506471 | − | 0.877234i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))