Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1323,2,Mod(226,1323)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1323, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1323.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.5642081874\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 226.5 | ||
Root | \(1.19343 - 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.226 |
Dual form | 1323.2.h.f.802.5 |
$q$-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 \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.38687 | 1.68777 | 0.843886 | − | 0.536523i | \(-0.180263\pi\) | ||||
0.843886 | + | 0.536523i | \(0.180263\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.69714 | 1.84857 | ||||||||
\(5\) | 1.46043 | + | 2.52954i | 0.653125 | + | 1.13125i | 0.982360 | + | 0.186998i | \(0.0598759\pi\) |
−0.329235 | + | 0.944248i | \(0.606791\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 4.05086 | 1.43219 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.48586 | + | 6.03769i | 1.10233 | + | 1.90929i | ||||
\(11\) | −0.676857 | + | 1.17235i | −0.204080 | + | 0.353477i | −0.949839 | − | 0.312738i | \(-0.898754\pi\) |
0.745759 | + | 0.666216i | \(0.232087\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.733001 | − | 1.26960i | 0.203298 | − | 0.352123i | −0.746291 | − | 0.665620i | \(-0.768167\pi\) |
0.949589 | + | 0.313497i | \(0.101501\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.27458 | 0.568645 | ||||||||
\(17\) | 1.65514 | + | 2.86678i | 0.401430 | + | 0.695297i | 0.993899 | − | 0.110297i | \(-0.0351801\pi\) |
−0.592469 | + | 0.805593i | \(0.701847\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.10329 | − | 1.91096i | 0.253113 | − | 0.438404i | −0.711268 | − | 0.702921i | \(-0.751879\pi\) |
0.964381 | + | 0.264516i | \(0.0852123\pi\) | |||||||
\(20\) | 5.39943 | + | 9.35209i | 1.20735 | + | 2.09119i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.61557 | + | 2.79825i | −0.344441 | + | 0.596589i | ||||
\(23\) | 1.31415 | + | 2.27617i | 0.274019 | + | 0.474614i | 0.969887 | − | 0.243555i | \(-0.0783136\pi\) |
−0.695868 | + | 0.718169i | \(0.744980\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.76573 | + | 3.05833i | −0.353146 | + | 0.611666i | ||||
\(26\) | 1.74958 | − | 3.03036i | 0.343121 | − | 0.594302i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.521720 | − | 0.903646i | −0.0968810 | − | 0.167803i | 0.813511 | − | 0.581549i | \(-0.197553\pi\) |
−0.910392 | + | 0.413747i | \(0.864220\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.27458 | −0.588132 | −0.294066 | − | 0.955785i | \(-0.595009\pi\) | ||||
−0.294066 | + | 0.955785i | \(0.595009\pi\) | |||||||
\(32\) | −2.67259 | −0.472452 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.95060 | + | 6.84263i | 0.677521 | + | 1.17350i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.43773 | − | 9.41842i | 0.893957 | − | 1.54838i | 0.0588664 | − | 0.998266i | \(-0.481251\pi\) |
0.835090 | − | 0.550113i | \(-0.185415\pi\) | |||||||
\(38\) | 2.63342 | − | 4.56121i | 0.427197 | − | 0.739926i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.91601 | + | 10.2468i | 0.935403 | + | 1.62017i | ||||
\(41\) | −0.904289 | + | 1.56627i | −0.141226 | + | 0.244611i | −0.927959 | − | 0.372683i | \(-0.878438\pi\) |
0.786732 | + | 0.617294i | \(0.211771\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.17129 | − | 3.76078i | −0.331118 | − | 0.573514i | 0.651613 | − | 0.758551i | \(-0.274093\pi\) |
−0.982731 | + | 0.185038i | \(0.940759\pi\) | |||||||
\(44\) | −2.50244 | + | 4.33435i | −0.377257 | + | 0.653428i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.13670 | + | 5.43292i | 0.462481 | + | 0.801041i | ||||
\(47\) | 3.97914 | 0.580417 | 0.290209 | − | 0.956963i | \(-0.406275\pi\) | ||||
0.290209 | + | 0.956963i | \(0.406275\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.21456 | + | 7.29984i | −0.596029 | + | 1.03235i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.71001 | − | 4.69388i | 0.375811 | − | 0.650924i | ||||
\(53\) | 3.22743 | + | 5.59008i | 0.443322 | + | 0.767856i | 0.997934 | − | 0.0642533i | \(-0.0204666\pi\) |
−0.554612 | + | 0.832109i | \(0.687133\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.95402 | −0.533160 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.24528 | − | 2.15688i | −0.163513 | − | 0.283213i | ||||
\(59\) | −12.2140 | −1.59013 | −0.795064 | − | 0.606526i | \(-0.792563\pi\) | ||||
−0.795064 | + | 0.606526i | \(0.792563\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.559734 | −0.0716666 | −0.0358333 | − | 0.999358i | \(-0.511409\pi\) | ||||
−0.0358333 | + | 0.999358i | \(0.511409\pi\) | |||||||
\(62\) | −7.81600 | −0.992632 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.9283 | −1.36604 | ||||||||
\(65\) | 4.28200 | 0.531117 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.8118 | 1.56521 | 0.782603 | − | 0.622521i | \(-0.213891\pi\) | ||||
0.782603 | + | 0.622521i | \(0.213891\pi\) | |||||||
\(68\) | 6.11928 | + | 10.5989i | 0.742072 | + | 1.28531i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.9177 | −1.53305 | −0.766525 | − | 0.642214i | \(-0.778016\pi\) | ||||
−0.766525 | + | 0.642214i | \(0.778016\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.22772 | − | 9.05467i | −0.611858 | − | 1.05977i | −0.990927 | − | 0.134401i | \(-0.957089\pi\) |
0.379069 | − | 0.925368i | \(-0.376244\pi\) | |||||||
\(74\) | 12.9791 | − | 22.4805i | 1.50879 | − | 2.61331i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.07903 | − | 7.06509i | 0.467897 | − | 0.810422i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.767677 | 0.0863704 | 0.0431852 | − | 0.999067i | \(-0.486249\pi\) | ||||
0.0431852 | + | 0.999067i | \(0.486249\pi\) | |||||||
\(80\) | 3.32187 | + | 5.75365i | 0.371397 | + | 0.643278i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.15842 | + | 3.73849i | −0.238358 | + | 0.412847i | ||||
\(83\) | −0.983707 | − | 1.70383i | −0.107976 | − | 0.187020i | 0.806974 | − | 0.590587i | \(-0.201104\pi\) |
−0.914950 | + | 0.403567i | \(0.867770\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.83443 | + | 8.37348i | −0.524368 | + | 0.908232i | ||||
\(86\) | −5.18258 | − | 8.97649i | −0.558852 | − | 0.967960i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.74185 | + | 4.74903i | −0.292283 | + | 0.506248i | ||||
\(89\) | 3.20356 | − | 5.54872i | 0.339576 | − | 0.588163i | −0.644777 | − | 0.764371i | \(-0.723050\pi\) |
0.984353 | + | 0.176208i | \(0.0563830\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.85859 | + | 8.41533i | 0.506543 | + | 0.877359i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.49769 | 0.979612 | ||||||||
\(95\) | 6.44514 | 0.661258 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.14143 | + | 7.17316i | 0.420498 | + | 0.728324i | 0.995988 | − | 0.0894847i | \(-0.0285220\pi\) |
−0.575490 | + | 0.817809i | \(0.695189\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.52815 | + | 11.3071i | −0.652815 | + | 1.13071i | ||||
\(101\) | 8.11331 | − | 14.0527i | 0.807305 | − | 1.39829i | −0.107419 | − | 0.994214i | \(-0.534259\pi\) |
0.914724 | − | 0.404079i | \(-0.132408\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.11342 | − | 1.92849i | −0.109708 | − | 0.190020i | 0.805944 | − | 0.591992i | \(-0.201658\pi\) |
−0.915652 | + | 0.401972i | \(0.868325\pi\) | |||||||
\(104\) | 2.96929 | − | 5.14295i | 0.291162 | − | 0.504308i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.70346 | + | 13.3428i | 0.748226 | + | 1.29597i | ||||
\(107\) | 8.75403 | − | 15.1624i | 0.846284 | − | 1.46581i | −0.0382175 | − | 0.999269i | \(-0.512168\pi\) |
0.884501 | − | 0.466537i | \(-0.154499\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.79917 | − | 13.5086i | −0.747025 | − | 1.29388i | −0.949243 | − | 0.314544i | \(-0.898148\pi\) |
0.202218 | − | 0.979341i | \(-0.435185\pi\) | |||||||
\(110\) | −9.43773 | −0.899852 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.844555 | − | 1.46281i | 0.0794491 | − | 0.137610i | −0.823563 | − | 0.567224i | \(-0.808017\pi\) |
0.903012 | + | 0.429615i | \(0.141351\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.83845 | + | 6.64839i | −0.357937 | + | 0.619966i | ||||
\(116\) | −1.92887 | − | 3.34091i | −0.179092 | − | 0.310196i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −29.1532 | −2.68377 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.58373 | + | 7.93925i | 0.416703 | + | 0.721750i | ||||
\(122\) | −1.33601 | −0.120957 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.1066 | −1.08720 | ||||||||
\(125\) | 4.28942 | 0.383657 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.96918 | −0.352208 | −0.176104 | − | 0.984372i | \(-0.556350\pi\) | ||||
−0.176104 | + | 0.984372i | \(0.556350\pi\) | |||||||
\(128\) | −20.7392 | −1.83310 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.2206 | 0.896403 | ||||||||
\(131\) | −2.66432 | − | 4.61473i | −0.232782 | − | 0.403191i | 0.725844 | − | 0.687860i | \(-0.241450\pi\) |
−0.958626 | + | 0.284669i | \(0.908116\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 30.5800 | 2.64171 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.70473 | + | 11.6129i | 0.574925 | + | 0.995800i | ||||
\(137\) | −3.74772 | + | 6.49124i | −0.320189 | + | 0.554584i | −0.980527 | − | 0.196385i | \(-0.937080\pi\) |
0.660338 | + | 0.750969i | \(0.270413\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.03285 | + | 12.1812i | −0.596518 | + | 1.03320i | 0.396812 | + | 0.917900i | \(0.370116\pi\) |
−0.993331 | + | 0.115300i | \(0.963217\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −30.8329 | −2.58744 | ||||||||
\(143\) | 0.992275 | + | 1.71867i | 0.0829782 | + | 0.143722i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.52388 | − | 2.63943i | 0.126551 | − | 0.219193i | ||||
\(146\) | −12.4779 | − | 21.6123i | −1.03268 | − | 1.78865i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 20.1041 | − | 34.8212i | 1.65254 | − | 2.86229i | ||||
\(149\) | 1.08986 | + | 1.88769i | 0.0892846 | + | 0.154645i | 0.907209 | − | 0.420680i | \(-0.138209\pi\) |
−0.817924 | + | 0.575326i | \(0.804875\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.01387 | + | 12.1484i | −0.570781 | + | 0.988621i | 0.425705 | + | 0.904862i | \(0.360026\pi\) |
−0.996486 | + | 0.0837595i | \(0.973307\pi\) | |||||||
\(152\) | 4.46929 | − | 7.74103i | 0.362507 | − | 0.627880i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.78231 | − | 8.28320i | −0.384124 | − | 0.665322i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.96623 | −0.236731 | −0.118365 | − | 0.992970i | \(-0.537765\pi\) | ||||
−0.118365 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(158\) | 1.83234 | 0.145773 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.90314 | − | 6.76043i | −0.308570 | − | 0.534459i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.194278 | + | 0.336499i | −0.0152170 | + | 0.0263566i | −0.873534 | − | 0.486764i | \(-0.838177\pi\) |
0.858317 | + | 0.513120i | \(0.171511\pi\) | |||||||
\(164\) | −3.34329 | + | 5.79074i | −0.261067 | + | 0.452181i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.34798 | − | 4.06682i | −0.182239 | − | 0.315646i | ||||
\(167\) | 3.64889 | − | 6.32006i | 0.282360 | − | 0.489061i | −0.689606 | − | 0.724185i | \(-0.742216\pi\) |
0.971965 | + | 0.235124i | \(0.0755496\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.42542 | + | 9.39710i | 0.417340 | + | 0.722854i | ||||
\(170\) | −11.5392 | + | 19.9864i | −0.885013 | + | 1.53289i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.02756 | − | 13.9041i | −0.612096 | − | 1.06018i | ||||
\(173\) | −4.05508 | −0.308302 | −0.154151 | − | 0.988047i | \(-0.549264\pi\) | ||||
−0.154151 | + | 0.988047i | \(0.549264\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.53957 | + | 2.66661i | −0.116049 | + | 0.201003i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.64647 | − | 13.2441i | 0.573127 | − | 0.992685i | ||||
\(179\) | −5.29243 | − | 9.16675i | −0.395575 | − | 0.685155i | 0.597600 | − | 0.801795i | \(-0.296121\pi\) |
−0.993174 | + | 0.116639i | \(0.962788\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.6312 | 1.45917 | 0.729586 | − | 0.683889i | \(-0.239713\pi\) | ||||
0.729586 | + | 0.683889i | \(0.239713\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.32343 | + | 9.22045i | 0.392448 | + | 0.679740i | ||||
\(185\) | 31.7657 | 2.33546 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.48117 | −0.327695 | ||||||||
\(188\) | 14.7115 | 1.07294 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.3837 | 1.11605 | ||||||||
\(191\) | −8.28714 | −0.599637 | −0.299818 | − | 0.953996i | \(-0.596926\pi\) | ||||
−0.299818 | + | 0.953996i | \(0.596926\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.7848 | −1.35216 | −0.676082 | − | 0.736827i | \(-0.736323\pi\) | ||||
−0.676082 | + | 0.736827i | \(0.736323\pi\) | |||||||
\(194\) | 9.88504 | + | 17.1214i | 0.709705 | + | 1.22924i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.99634 | −0.427222 | −0.213611 | − | 0.976919i | \(-0.568522\pi\) | ||||
−0.213611 | + | 0.976919i | \(0.568522\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.20434 | − | 12.4783i | −0.510702 | − | 0.884562i | −0.999923 | − | 0.0124022i | \(-0.996052\pi\) |
0.489221 | − | 0.872160i | \(-0.337281\pi\) | |||||||
\(200\) | −7.15272 | + | 12.3889i | −0.505773 | + | 0.876025i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 19.3654 | − | 33.5419i | 1.36255 | − | 2.36000i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.28261 | −0.368954 | ||||||||
\(206\) | −2.65758 | − | 4.60306i | −0.185162 | − | 0.320710i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.66727 | − | 2.88780i | 0.115604 | − | 0.200233i | ||||
\(209\) | 1.49354 | + | 2.58690i | 0.103311 | + | 0.178939i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.92418 | + | 11.9930i | −0.476680 | + | 0.825634i | −0.999643 | − | 0.0267212i | \(-0.991493\pi\) |
0.522963 | + | 0.852356i | \(0.324827\pi\) | |||||||
\(212\) | 11.9323 | + | 20.6673i | 0.819512 | + | 1.41944i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.8947 | − | 36.1907i | 1.42833 | − | 2.47395i | ||||
\(215\) | 6.34204 | − | 10.9847i | 0.432523 | − | 0.749153i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −18.6156 | − | 32.2431i | −1.26081 | − | 2.18378i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −14.6186 | −0.985584 | ||||||||
\(221\) | 4.85287 | 0.326439 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.33756 | − | 4.04878i | −0.156535 | − | 0.271126i | 0.777082 | − | 0.629399i | \(-0.216699\pi\) |
−0.933617 | + | 0.358273i | \(0.883366\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.01584 | − | 3.49154i | 0.134092 | − | 0.232254i | ||||
\(227\) | −9.85631 | + | 17.0716i | −0.654187 | + | 1.13308i | 0.327910 | + | 0.944709i | \(0.393656\pi\) |
−0.982097 | + | 0.188376i | \(0.939678\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.0364 | + | 24.3118i | 0.927552 | + | 1.60657i | 0.787404 | + | 0.616437i | \(0.211425\pi\) |
0.140148 | + | 0.990131i | \(0.455242\pi\) | |||||||
\(230\) | −9.16188 | + | 15.8688i | −0.604116 | + | 1.04636i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.11342 | − | 3.66054i | −0.138753 | − | 0.240326i | ||||
\(233\) | 6.90113 | − | 11.9531i | 0.452108 | − | 0.783074i | −0.546409 | − | 0.837518i | \(-0.684006\pi\) |
0.998517 | + | 0.0544448i | \(0.0173389\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.81127 | + | 10.0654i | 0.379085 | + | 0.656595i | ||||
\(236\) | −45.1569 | −2.93947 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.53069 | + | 9.57944i | −0.357751 | + | 0.619642i | −0.987585 | − | 0.157087i | \(-0.949790\pi\) |
0.629834 | + | 0.776730i | \(0.283123\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.5849 | + | 20.0656i | −0.746247 | + | 1.29254i | 0.203362 | + | 0.979104i | \(0.434813\pi\) |
−0.949610 | + | 0.313435i | \(0.898520\pi\) | |||||||
\(242\) | 10.9408 | + | 18.9499i | 0.703299 | + | 1.21815i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.06942 | −0.132481 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.61743 | − | 2.80147i | −0.102915 | − | 0.178253i | ||||
\(248\) | −13.2649 | −0.842320 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.2383 | 0.647525 | ||||||||
\(251\) | −7.78402 | −0.491323 | −0.245662 | − | 0.969356i | \(-0.579005\pi\) | ||||
−0.245662 | + | 0.969356i | \(0.579005\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.55796 | −0.223687 | ||||||||
\(254\) | −9.47392 | −0.594447 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −27.6452 | −1.72782 | ||||||||
\(257\) | −5.18798 | − | 8.98585i | −0.323618 | − | 0.560522i | 0.657614 | − | 0.753355i | \(-0.271566\pi\) |
−0.981232 | + | 0.192833i | \(0.938232\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 15.8312 | 0.981807 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.35937 | − | 11.0148i | −0.392883 | − | 0.680494i | ||||
\(263\) | −9.56654 | + | 16.5697i | −0.589898 | + | 1.02173i | 0.404347 | + | 0.914605i | \(0.367499\pi\) |
−0.994245 | + | 0.107128i | \(0.965835\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.42689 | + | 16.3279i | −0.579090 | + | 1.00301i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 47.3669 | 2.89340 | ||||||||
\(269\) | −4.41840 | − | 7.65290i | −0.269395 | − | 0.466605i | 0.699311 | − | 0.714818i | \(-0.253490\pi\) |
−0.968706 | + | 0.248212i | \(0.920157\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.16955 | − | 15.8821i | 0.557010 | − | 0.964770i | −0.440734 | − | 0.897638i | \(-0.645282\pi\) |
0.997744 | − | 0.0671321i | \(-0.0213849\pi\) | |||||||
\(272\) | 3.76474 | + | 6.52073i | 0.228271 | + | 0.395377i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.94531 | + | 15.4937i | −0.540406 | + | 0.936010i | ||||
\(275\) | −2.39029 | − | 4.14011i | −0.144140 | − | 0.249658i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.55241 | + | 4.42091i | −0.153360 | + | 0.265627i | −0.932460 | − | 0.361272i | \(-0.882343\pi\) |
0.779101 | + | 0.626899i | \(0.215676\pi\) | |||||||
\(278\) | −16.7865 | + | 29.0750i | −1.00679 | + | 1.74381i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.853180 | + | 1.47775i | 0.0508964 | + | 0.0881552i | 0.890351 | − | 0.455274i | \(-0.150459\pi\) |
−0.839455 | + | 0.543430i | \(0.817125\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.4883 | 0.742352 | 0.371176 | − | 0.928562i | \(-0.378955\pi\) | ||||
0.371176 | + | 0.928562i | \(0.378955\pi\) | |||||||
\(284\) | −47.7586 | −2.83395 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.36843 | + | 4.10224i | 0.140048 | + | 0.242571i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.02104 | − | 5.23260i | 0.177708 | − | 0.307800i | ||||
\(290\) | 3.63729 | − | 6.29997i | 0.213589 | − | 0.369947i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −19.3276 | − | 33.4764i | −1.13106 | − | 1.95906i | ||||
\(293\) | −2.60202 | + | 4.50684i | −0.152012 | + | 0.263292i | −0.931967 | − | 0.362543i | \(-0.881909\pi\) |
0.779955 | + | 0.625835i | \(0.215242\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.8377 | − | 30.8959i | −1.03855 | − | 1.79883i | ||||
\(296\) | 22.0275 | − | 38.1527i | 1.28032 | − | 2.21758i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.60135 | + | 4.50566i | 0.150692 | + | 0.261006i | ||||
\(299\) | 3.85309 | 0.222830 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −16.7412 | + | 28.9966i | −0.963347 | + | 1.66857i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.50953 | − | 4.34663i | 0.143931 | − | 0.249297i | ||||
\(305\) | −0.817453 | − | 1.41587i | −0.0468072 | − | 0.0810725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.00136 | −0.285442 | −0.142721 | − | 0.989763i | \(-0.545585\pi\) | ||||
−0.142721 | + | 0.989763i | \(0.545585\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −11.4147 | − | 19.7709i | −0.648313 | − | 1.12291i | ||||
\(311\) | −32.3968 | −1.83706 | −0.918528 | − | 0.395355i | \(-0.870621\pi\) | ||||
−0.918528 | + | 0.395355i | \(0.870621\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.51907 | −0.0858629 | −0.0429315 | − | 0.999078i | \(-0.513670\pi\) | ||||
−0.0429315 | + | 0.999078i | \(0.513670\pi\) | |||||||
\(314\) | −7.08000 | −0.399548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.83821 | 0.159662 | ||||||||
\(317\) | 21.5089 | 1.20806 | 0.604029 | − | 0.796962i | \(-0.293561\pi\) | ||||
0.604029 | + | 0.796962i | \(0.293561\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.41252 | 0.0790860 | ||||||||
\(320\) | −15.9600 | − | 27.6436i | −0.892193 | − | 1.54532i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.30441 | 0.406428 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.58856 | + | 4.48352i | 0.143588 | + | 0.248701i | ||||
\(326\) | −0.463715 | + | 0.803178i | −0.0256828 | + | 0.0444839i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.66315 | + | 6.34476i | −0.202263 | + | 0.350330i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.4780 | 1.07061 | 0.535305 | − | 0.844659i | \(-0.320197\pi\) | ||||
0.535305 | + | 0.844659i | \(0.320197\pi\) | |||||||
\(332\) | −3.63691 | − | 6.29931i | −0.199601 | − | 0.345719i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.70942 | − | 15.0852i | 0.476558 | − | 0.825423i | ||||
\(335\) | 18.7107 | + | 32.4079i | 1.02228 | + | 1.77063i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.84742 | − | 8.39598i | 0.264056 | − | 0.457358i | −0.703260 | − | 0.710933i | \(-0.748273\pi\) |
0.967316 | + | 0.253575i | \(0.0816063\pi\) | |||||||
\(338\) | 12.9498 | + | 22.4296i | 0.704374 | + | 1.22001i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.8736 | + | 30.9580i | −0.969332 | + | 1.67893i | ||||
\(341\) | 2.21642 | − | 3.83896i | 0.120026 | − | 0.207891i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −8.79558 | − | 15.2344i | −0.474226 | − | 0.821383i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.67895 | −0.520344 | ||||||||
\(347\) | −2.02604 | −0.108763 | −0.0543817 | − | 0.998520i | \(-0.517319\pi\) | ||||
−0.0543817 | + | 0.998520i | \(0.517319\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.14577 | − | 14.1089i | −0.436033 | − | 0.755231i | 0.561346 | − | 0.827581i | \(-0.310284\pi\) |
−0.997379 | + | 0.0723497i | \(0.976950\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.80896 | − | 3.13321i | 0.0964180 | − | 0.167001i | ||||
\(353\) | −8.53072 | + | 14.7756i | −0.454045 | + | 0.786428i | −0.998633 | − | 0.0522753i | \(-0.983353\pi\) |
0.544588 | + | 0.838704i | \(0.316686\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.8655 | − | 32.6759i | −1.00127 | − | 1.73426i | ||||
\(356\) | 11.8440 | − | 20.5144i | 0.627731 | − | 1.08726i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.6323 | − | 21.8798i | −0.667639 | − | 1.15639i | ||||
\(359\) | −1.48363 | + | 2.56972i | −0.0783030 | + | 0.135625i | −0.902518 | − | 0.430652i | \(-0.858283\pi\) |
0.824215 | + | 0.566277i | \(0.191617\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.06549 | + | 12.2378i | 0.371868 | + | 0.644094i | ||||
\(362\) | 46.8570 | 2.46275 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 15.2695 | − | 26.4475i | 0.799240 | − | 1.38432i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.07874 | + | 8.79664i | −0.265108 | + | 0.459181i | −0.967592 | − | 0.252519i | \(-0.918741\pi\) |
0.702484 | + | 0.711700i | \(0.252074\pi\) | |||||||
\(368\) | 2.98914 | + | 5.17733i | 0.155819 | + | 0.269887i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 75.8207 | 3.94173 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.7423 | + | 22.0703i | 0.659771 | + | 1.14276i | 0.980675 | + | 0.195645i | \(0.0626799\pi\) |
−0.320904 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(374\) | −10.6960 | −0.553075 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.1189 | 0.831271 | ||||||||
\(377\) | −1.52969 | −0.0787829 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.85497 | 0.506216 | 0.253108 | − | 0.967438i | \(-0.418547\pi\) | ||||
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(380\) | 23.8286 | 1.22238 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.7803 | −1.01205 | ||||||||
\(383\) | 13.6563 | + | 23.6535i | 0.697806 | + | 1.20864i | 0.969225 | + | 0.246175i | \(0.0791737\pi\) |
−0.271419 | + | 0.962461i | \(0.587493\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −44.8370 | −2.28214 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 15.3114 | + | 26.5202i | 0.777321 | + | 1.34636i | ||||
\(389\) | 2.09223 | − | 3.62385i | 0.106080 | − | 0.183736i | −0.808099 | − | 0.589047i | \(-0.799503\pi\) |
0.914179 | + | 0.405311i | \(0.132837\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.35019 | + | 7.53475i | −0.219999 | + | 0.381049i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −14.3125 | −0.721053 | ||||||||
\(395\) | 1.12114 | + | 1.94187i | 0.0564107 | + | 0.0977062i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.3354 | + | 26.5618i | −0.769664 | + | 1.33310i | 0.168082 | + | 0.985773i | \(0.446243\pi\) |
−0.937745 | + | 0.347323i | \(0.887091\pi\) | |||||||
\(398\) | −17.1958 | − | 29.7840i | −0.861948 | − | 1.49294i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.01629 | + | 6.95642i | −0.200815 | + | 0.347821i | ||||
\(401\) | −3.42402 | − | 5.93057i | −0.170987 | − | 0.296158i | 0.767778 | − | 0.640716i | \(-0.221362\pi\) |
−0.938765 | + | 0.344557i | \(0.888029\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.40027 | + | 4.15739i | −0.119566 | + | 0.207095i | ||||
\(404\) | 29.9961 | − | 51.9547i | 1.49236 | − | 2.58485i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.36113 | + | 12.7499i | 0.364878 | + | 0.631987i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.2698 | 0.903384 | 0.451692 | − | 0.892174i | \(-0.350821\pi\) | ||||
0.451692 | + | 0.892174i | \(0.350821\pi\) | |||||||
\(410\) | −12.6089 | −0.622709 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.11646 | − | 7.12991i | −0.202803 | − | 0.351265i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.87328 | − | 4.97666i | 0.141044 | − | 0.244295i | ||||
\(416\) | −1.95901 | + | 3.39311i | −0.0960485 | + | 0.166361i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.56490 | + | 6.17458i | 0.174365 | + | 0.302009i | ||||
\(419\) | 11.2310 | − | 19.4526i | 0.548669 | − | 0.950322i | −0.449698 | − | 0.893181i | \(-0.648468\pi\) |
0.998366 | − | 0.0571410i | \(-0.0181984\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4177 | + | 18.0440i | 0.507728 | + | 0.879411i | 0.999960 | + | 0.00894684i | \(0.00284791\pi\) |
−0.492232 | + | 0.870464i | \(0.663819\pi\) | |||||||
\(422\) | −16.5271 | + | 28.6258i | −0.804527 | + | 1.39348i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.0739 | + | 22.6446i | 0.634923 | + | 1.09972i | ||||
\(425\) | −11.6901 | −0.567053 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 32.3649 | − | 56.0577i | 1.56442 | − | 2.70965i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.1376 | − | 26.2191i | 0.730001 | − | 1.26440i | ||||
\(431\) | 10.1213 | + | 17.5307i | 0.487527 | + | 0.844422i | 0.999897 | − | 0.0143427i | \(-0.00456557\pi\) |
−0.512370 | + | 0.858765i | \(0.671232\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.6764 | 1.04170 | 0.520851 | − | 0.853648i | \(-0.325615\pi\) | ||||
0.520851 | + | 0.853648i | \(0.325615\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −28.8346 | − | 49.9431i | −1.38093 | − | 2.39184i | ||||
\(437\) | 5.79956 | 0.277431 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.4781 | 1.69328 | 0.846639 | − | 0.532168i | \(-0.178623\pi\) | ||||
0.846639 | + | 0.532168i | \(0.178623\pi\) | |||||||
\(440\) | −16.0172 | −0.763589 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.5832 | 0.550955 | ||||||||
\(443\) | 19.2063 | 0.912517 | 0.456258 | − | 0.889847i | \(-0.349189\pi\) | ||||
0.456258 | + | 0.889847i | \(0.349189\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.7143 | 0.887144 | ||||||||
\(446\) | −5.57946 | − | 9.66391i | −0.264195 | − | 0.457599i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 29.6082 | 1.39730 | 0.698648 | − | 0.715465i | \(-0.253785\pi\) | ||||
0.698648 | + | 0.715465i | \(0.253785\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.22415 | − | 2.12029i | −0.0576429 | − | 0.0998405i | ||||
\(452\) | 3.12244 | − | 5.40823i | 0.146867 | − | 0.254382i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −23.5257 | + | 40.7478i | −1.10412 | + | 1.91239i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.56196 | −0.447290 | −0.223645 | − | 0.974671i | \(-0.571796\pi\) | ||||
−0.223645 | + | 0.974671i | \(0.571796\pi\) | |||||||
\(458\) | 33.5031 | + | 58.0290i | 1.56550 | + | 2.71152i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −14.1913 | + | 24.5800i | −0.661673 | + | 1.14605i | ||||
\(461\) | 10.9187 | + | 18.9118i | 0.508536 | + | 0.880809i | 0.999951 | + | 0.00988416i | \(0.00314628\pi\) |
−0.491416 | + | 0.870925i | \(0.663520\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.0744 | − | 22.6456i | 0.607621 | − | 1.05243i | −0.384010 | − | 0.923329i | \(-0.625457\pi\) |
0.991631 | − | 0.129102i | \(-0.0412094\pi\) | |||||||
\(464\) | −1.18670 | − | 2.05542i | −0.0550909 | − | 0.0954203i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.4721 | − | 28.5305i | 0.763054 | − | 1.32165i | ||||
\(467\) | −17.4764 | + | 30.2699i | −0.808709 | + | 1.40073i | 0.105049 | + | 0.994467i | \(0.466500\pi\) |
−0.913758 | + | 0.406258i | \(0.866833\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 13.8707 | + | 24.0248i | 0.639809 | + | 1.10818i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −49.4772 | −2.27737 | ||||||||
\(473\) | 5.87861 | 0.270299 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.89623 | + | 6.74848i | 0.178771 | + | 0.309641i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.2010 | + | 22.8649i | −0.603801 | + | 1.04581i | ||||
\(479\) | 14.9054 | − | 25.8170i | 0.681047 | − | 1.17961i | −0.293615 | − | 0.955924i | \(-0.594858\pi\) |
0.974662 | − | 0.223684i | \(-0.0718083\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.97172 | − | 13.8074i | −0.363479 | − | 0.629565i | ||||
\(482\) | −27.6516 | + | 47.8939i | −1.25949 | + | 2.18151i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.9467 | + | 29.3525i | 0.770304 | + | 1.33421i | ||||
\(485\) | −12.0965 | + | 20.9518i | −0.549276 | + | 0.951374i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.2253 | − | 19.4428i | −0.508667 | − | 0.881037i | −0.999950 | − | 0.0100365i | \(-0.996805\pi\) |
0.491283 | − | 0.871000i | \(-0.336528\pi\) | |||||||
\(488\) | −2.26740 | −0.102640 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.5222 | + | 30.3494i | −0.790767 | + | 1.36965i | 0.134726 | + | 0.990883i | \(0.456984\pi\) |
−0.925493 | + | 0.378765i | \(0.876349\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.72704 | − | 2.99132i | 0.0777819 | − | 0.134722i | ||||
\(494\) | −3.86060 | − | 6.68675i | −0.173696 | − | 0.300851i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.44830 | −0.334438 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.46760 | + | 7.73811i | 0.199997 | + | 0.346405i | 0.948527 | − | 0.316696i | \(-0.102573\pi\) |
−0.748530 | + | 0.663101i | \(0.769240\pi\) | |||||||
\(500\) | 15.8586 | 0.709217 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.5794 | −0.829241 | ||||||||
\(503\) | −12.6403 | −0.563603 | −0.281802 | − | 0.959473i | \(-0.590932\pi\) | ||||
−0.281802 | + | 0.959473i | \(0.590932\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 47.3958 | 2.10909 | ||||||||
\(506\) | −8.49239 | −0.377533 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.6746 | −0.651082 | ||||||||
\(509\) | 14.0555 | + | 24.3449i | 0.623000 | + | 1.07907i | 0.988924 | + | 0.148423i | \(0.0474196\pi\) |
−0.365924 | + | 0.930645i | \(0.619247\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −24.5070 | −1.08307 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.3830 | − | 21.4480i | −0.546192 | − | 0.946033i | ||||
\(515\) | 3.25214 | − | 5.63287i | 0.143306 | − | 0.248214i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.69331 | + | 4.66495i | −0.118452 | + | 0.205164i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 17.3458 | 0.760662 | ||||||||
\(521\) | 4.23768 | + | 7.33988i | 0.185656 | + | 0.321566i | 0.943797 | − | 0.330524i | \(-0.107226\pi\) |
−0.758141 | + | 0.652090i | \(0.773892\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.7236 | + | 28.9662i | −0.731273 | + | 1.26660i | 0.225066 | + | 0.974344i | \(0.427740\pi\) |
−0.956339 | + | 0.292259i | \(0.905593\pi\) | |||||||
\(524\) | −9.85035 | − | 17.0613i | −0.430315 | − | 0.745327i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −22.8341 | + | 39.5498i | −0.995613 | + | 1.72445i | ||||
\(527\) | −5.41988 | − | 9.38751i | −0.236094 | − | 0.408926i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.04603 | − | 13.9361i | 0.349827 | − | 0.605919i | ||||
\(530\) | −22.5008 | + | 38.9725i | −0.977371 | + | 1.69286i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.32569 | + | 2.29616i | 0.0574220 | + | 0.0994579i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 51.1387 | 2.21092 | ||||||||
\(536\) | 51.8987 | 2.24168 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.5461 | − | 18.2665i | −0.454677 | − | 0.787523i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.12929 | + | 15.8124i | −0.392499 | + | 0.679828i | −0.992778 | − | 0.119962i | \(-0.961723\pi\) |
0.600280 | + | 0.799790i | \(0.295056\pi\) | |||||||
\(542\) | 21.8865 | − | 37.9085i | 0.940106 | − | 1.62831i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.42350 | − | 7.66173i | −0.189656 | − | 0.328494i | ||||
\(545\) | 22.7803 | − | 39.4567i | 0.975802 | − | 1.69014i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.88599 | − | 4.99869i | −0.123396 | − | 0.213728i | 0.797709 | − | 0.603043i | \(-0.206045\pi\) |
−0.921105 | + | 0.389315i | \(0.872712\pi\) | |||||||
\(548\) | −13.8558 | + | 23.9990i | −0.591892 | + | 1.02519i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.70532 | − | 9.88190i | −0.243276 | − | 0.421366i | ||||
\(551\) | −2.30244 | −0.0980874 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.09227 | + | 10.5521i | −0.258836 | + | 0.448317i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −26.0014 | + | 45.0358i | −1.10271 | + | 1.90994i | ||||
\(557\) | −16.6911 | − | 28.9098i | −0.707223 | − | 1.22495i | −0.965883 | − | 0.258977i | \(-0.916614\pi\) |
0.258661 | − | 0.965968i | \(-0.416719\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.36623 | −0.269263 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.03643 | + | 3.52720i | 0.0859015 | + | 0.148786i | ||||
\(563\) | 2.19131 | 0.0923528 | 0.0461764 | − | 0.998933i | \(-0.485296\pi\) | ||||
0.0461764 | + | 0.998933i | \(0.485296\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.93367 | 0.207561 | ||||||||
\(566\) | 29.8079 | 1.25292 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −52.3278 | −2.19563 | ||||||||
\(569\) | −18.9860 | −0.795936 | −0.397968 | − | 0.917399i | \(-0.630284\pi\) | ||||
−0.397968 | + | 0.917399i | \(0.630284\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.7380 | −0.909709 | −0.454854 | − | 0.890566i | \(-0.650309\pi\) | ||||
−0.454854 | + | 0.890566i | \(0.650309\pi\) | |||||||
\(572\) | 3.66858 | + | 6.35417i | 0.153391 | + | 0.265681i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −9.28172 | −0.387074 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.4516 | + | 26.7629i | 0.643258 | + | 1.11416i | 0.984701 | + | 0.174253i | \(0.0557511\pi\) |
−0.341443 | + | 0.939903i | \(0.610916\pi\) | |||||||
\(578\) | 7.21083 | − | 12.4895i | 0.299931 | − | 0.519496i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.63398 | − | 9.75835i | 0.233938 | − | 0.405193i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.73804 | −0.361893 | ||||||||
\(584\) | −21.1767 | − | 36.6792i | −0.876299 | − | 1.51780i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.21069 | + | 10.7572i | −0.256561 | + | 0.444377i | ||||
\(587\) | −9.18332 | − | 15.9060i | −0.379036 | − | 0.656510i | 0.611886 | − | 0.790946i | \(-0.290411\pi\) |
−0.990922 | + | 0.134436i | \(0.957078\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.61282 | + | 6.25759i | −0.148864 | + | 0.257840i | ||||
\(590\) | −42.5763 | − | 73.7444i | −1.75284 | − | 3.03601i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.3685 | − | 21.4230i | 0.508344 | − | 0.880478i | ||||
\(593\) | 13.8775 | − | 24.0365i | 0.569880 | − | 0.987061i | −0.426698 | − | 0.904394i | \(-0.640323\pi\) |
0.996577 | − | 0.0826662i | \(-0.0263435\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.02936 | + | 6.97905i | 0.165049 | + | 0.285873i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.19682 | 0.376086 | ||||||||
\(599\) | −0.402823 | −0.0164589 | −0.00822945 | − | 0.999966i | \(-0.502620\pi\) | ||||
−0.00822945 | + | 0.999966i | \(0.502620\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.3733 | − | 21.4312i | −0.504717 | − | 0.874196i | −0.999985 | − | 0.00545577i | \(-0.998263\pi\) |
0.495268 | − | 0.868740i | \(-0.335070\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −25.9313 | + | 44.9143i | −1.05513 | + | 1.82754i | ||||
\(605\) | −13.3885 | + | 23.1895i | −0.544318 | + | 0.942787i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.0348 | + | 20.8449i | 0.488479 | + | 0.846070i | 0.999912 | − | 0.0132531i | \(-0.00421872\pi\) |
−0.511434 | + | 0.859323i | \(0.670885\pi\) | |||||||
\(608\) | −2.94865 | + | 5.10721i | −0.119584 | + | 0.207125i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.95115 | − | 3.37950i | −0.0789999 | − | 0.136832i | ||||
\(611\) | 2.91672 | − | 5.05190i | 0.117998 | − | 0.204378i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.1907 | + | 17.6509i | 0.411600 | + | 0.712912i | 0.995065 | − | 0.0992261i | \(-0.0316367\pi\) |
−0.583465 | + | 0.812138i | \(0.698303\pi\) | |||||||
\(614\) | −11.9376 | −0.481762 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.9315 | − | 36.2544i | 0.842669 | − | 1.45955i | −0.0449604 | − | 0.998989i | \(-0.514316\pi\) |
0.887630 | − | 0.460558i | \(-0.152350\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.41095 | − | 12.8361i | 0.297871 | − | 0.515928i | −0.677777 | − | 0.735267i | \(-0.737057\pi\) |
0.975649 | + | 0.219339i | \(0.0703900\pi\) | |||||||
\(620\) | −17.6809 | − | 30.6242i | −0.710081 | − | 1.22990i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −77.3270 | −3.10053 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.0930 | + | 26.1419i | 0.603722 | + | 1.04568i | ||||
\(626\) | −3.62582 | −0.144917 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.9666 | −0.437614 | ||||||||
\(629\) | 36.0007 | 1.43544 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0294 | −0.837169 | −0.418585 | − | 0.908178i | \(-0.637474\pi\) | ||||
−0.418585 | + | 0.908178i | \(0.637474\pi\) | |||||||
\(632\) | 3.10975 | 0.123699 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 51.3388 | 2.03893 | ||||||||
\(635\) | −5.79673 | − | 10.0402i | −0.230036 | − | 0.398434i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.37150 | 0.133479 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −30.2882 | − | 52.4607i | −1.19725 | − | 2.07369i | ||||
\(641\) | 5.96592 | − | 10.3333i | 0.235640 | − | 0.408140i | −0.723819 | − | 0.689990i | \(-0.757615\pi\) |
0.959458 | + | 0.281850i | \(0.0909481\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.9678 | − | 34.5852i | 0.787452 | − | 1.36391i | −0.140072 | − | 0.990141i | \(-0.544733\pi\) |
0.927524 | − | 0.373765i | \(-0.121933\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.4347 | 0.685958 | ||||||||
\(647\) | 0.494477 | + | 0.856459i | 0.0194399 | + | 0.0336709i | 0.875582 | − | 0.483070i | \(-0.160478\pi\) |
−0.856142 | + | 0.516741i | \(0.827145\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.26714 | − | 14.3191i | 0.324514 | − | 0.562074i | ||||
\(650\) | 6.17856 | + | 10.7016i | 0.242343 | + | 0.419751i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.718272 | + | 1.24408i | −0.0281297 | + | 0.0487221i | ||||
\(653\) | 11.3573 | + | 19.6715i | 0.444447 | + | 0.769804i | 0.998014 | − | 0.0630004i | \(-0.0200669\pi\) |
−0.553567 | + | 0.832805i | \(0.686734\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.78211 | − | 13.4790i | 0.304072 | − | 0.526668i | ||||
\(656\) | −2.05688 | + | 3.56262i | −0.0803076 | + | 0.139097i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19.1943 | + | 33.2454i | 0.747702 | + | 1.29506i | 0.948922 | + | 0.315512i | \(0.102176\pi\) |
−0.201220 | + | 0.979546i | \(0.564491\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −33.9258 | −1.31956 | −0.659780 | − | 0.751459i | \(-0.729351\pi\) | ||||
−0.659780 | + | 0.751459i | \(0.729351\pi\) | |||||||
\(662\) | 46.4915 | 1.80694 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.98486 | − | 6.90198i | −0.154642 | − | 0.267849i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.37124 | − | 2.37505i | 0.0530944 | − | 0.0919623i | ||||
\(668\) | 13.4905 | − | 23.3662i | 0.521962 | − | 0.904064i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 44.6601 | + | 77.3535i | 1.72537 | + | 2.98843i | ||||
\(671\) | 0.378860 | − | 0.656205i | 0.0146257 | − | 0.0253325i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.1030 | − | 27.8912i | −0.620725 | − | 1.07513i | −0.989351 | − | 0.145549i | \(-0.953505\pi\) |
0.368626 | − | 0.929578i | \(-0.379828\pi\) | |||||||
\(674\) | 11.5702 | − | 20.0401i | 0.445666 | − | 0.771916i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.0585 | + | 34.7424i | 0.771483 | + | 1.33625i | ||||
\(677\) | −37.9684 | −1.45924 | −0.729622 | − | 0.683850i | \(-0.760304\pi\) | ||||
−0.729622 | + | 0.683850i | \(0.760304\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −19.5836 | + | 33.9198i | −0.750997 | + | 1.30076i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.29031 | − | 9.16309i | 0.202577 | − | 0.350873i | ||||
\(683\) | −7.59357 | − | 13.1525i | −0.290560 | − | 0.503265i | 0.683382 | − | 0.730061i | \(-0.260508\pi\) |
−0.973942 | + | 0.226796i | \(0.927175\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −21.8932 | −0.836495 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.93877 | − | 8.55420i | −0.188289 | − | 0.326126i | ||||
\(689\) | 9.46285 | 0.360506 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.69148 | −0.102389 | −0.0511943 | − | 0.998689i | \(-0.516303\pi\) | ||||
−0.0511943 | + | 0.998689i | \(0.516303\pi\) | |||||||
\(692\) | −14.9922 | −0.569919 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.83589 | −0.183568 | ||||||||
\(695\) | −41.0840 | −1.55841 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.98689 | −0.226770 | ||||||||
\(698\) | −19.4429 | − | 33.6761i | −0.735924 | − | 1.27466i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.8515 | 0.447625 | 0.223813 | − | 0.974632i | \(-0.428150\pi\) | ||||
0.223813 | + | 0.974632i | \(0.428150\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.9988 | − | 20.7826i | −0.452544 | − | 0.783829i | ||||
\(704\) | 7.39689 | − | 12.8118i | 0.278781 | − | 0.482862i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −20.3617 | + | 35.2675i | −0.766323 | + | 1.32731i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −41.0333 | −1.54104 | −0.770520 | − | 0.637416i | \(-0.780003\pi\) | ||||
−0.770520 | + | 0.637416i | \(0.780003\pi\) | |||||||
\(710\) | −45.0294 | − | 77.9931i | −1.68992 | − | 2.92703i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.9772 | − | 22.4771i | 0.486339 | − | 0.842364i | ||||
\(713\) | −4.30328 | − | 7.45351i | −0.161159 | − | 0.279136i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.89830 | + | 5.02001i | −0.108390 | + | 0.187738i | ||||
\(716\) | −19.5669 | − | 33.8908i | −0.731248 | − | 1.26656i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.54123 | + | 6.13359i | −0.132158 | + | 0.228904i | ||||
\(719\) | 10.4555 | − | 18.1094i | 0.389923 | − | 0.675366i | −0.602516 | − | 0.798107i | \(-0.705835\pi\) |
0.992439 | + | 0.122741i | \(0.0391685\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.8644 | + | 29.2100i | 0.627628 | + | 1.08708i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 72.5792 | 2.69738 | ||||||||
\(725\) | 3.68487 | 0.136853 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.32165 | − | 2.28917i | −0.0490173 | − | 0.0849005i | 0.840476 | − | 0.541849i | \(-0.182276\pi\) |
−0.889493 | + | 0.456949i | \(0.848942\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 36.4462 | − | 63.1267i | 1.34893 | − | 2.33642i | ||||
\(731\) | 7.18756 | − | 12.4492i | 0.265841 | − | 0.460451i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.07446 | + | 12.2533i | 0.261301 | + | 0.452587i | 0.966588 | − | 0.256335i | \(-0.0825151\pi\) |
−0.705287 | + | 0.708922i | \(0.749182\pi\) | |||||||
\(734\) | −12.1223 | + | 20.9964i | −0.447442 | + | 0.774992i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.51218 | − | 6.08327i | −0.129461 | − | 0.224232i | ||||
\(737\) | −8.67174 | + | 15.0199i | −0.319428 | + | 0.553265i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.85905 | − | 13.6123i | −0.289100 | − | 0.500736i | 0.684495 | − | 0.729017i | \(-0.260023\pi\) |
−0.973595 | + | 0.228282i | \(0.926689\pi\) | |||||||
\(740\) | 117.442 | 4.31727 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5496 | + | 18.2724i | −0.387026 | + | 0.670348i | −0.992048 | − | 0.125861i | \(-0.959831\pi\) |
0.605022 | + | 0.796208i | \(0.293164\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.18333 | + | 5.51368i | −0.116628 | + | 0.202006i | ||||
\(746\) | 30.4142 | + | 52.6789i | 1.11354 | + | 1.92871i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −16.5675 | −0.605768 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.51848 | − | 11.2903i | −0.237863 | − | 0.411990i | 0.722238 | − | 0.691644i | \(-0.243113\pi\) |
−0.960101 | + | 0.279654i | \(0.909780\pi\) | |||||||
\(752\) | 9.05088 | 0.330052 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.65116 | −0.132968 | ||||||||
\(755\) | −40.9732 | −1.49117 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.6856 | −0.461065 | −0.230532 | − | 0.973065i | \(-0.574047\pi\) | ||||
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(758\) | 23.5225 | 0.854377 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 26.1084 | 0.947050 | ||||||||
\(761\) | 3.02038 | + | 5.23146i | 0.109489 | + | 0.189640i | 0.915563 | − | 0.402174i | \(-0.131745\pi\) |
−0.806074 | + | 0.591814i | \(0.798412\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −30.6388 | −1.10847 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 32.5959 | + | 56.4577i | 1.17774 | + | 2.03990i | ||||
\(767\) | −8.95288 | + | 15.5068i | −0.323270 | + | 0.559920i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.108129 | + | 0.187285i | −0.00389924 | + | 0.00675368i | −0.867968 | − | 0.496619i | \(-0.834575\pi\) |
0.864069 | + | 0.503373i | \(0.167908\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −69.4503 | −2.49957 | ||||||||
\(773\) | 18.8132 | + | 32.5854i | 0.676663 | + | 1.17202i | 0.975980 | + | 0.217861i | \(0.0699081\pi\) |
−0.299316 | + | 0.954154i | \(0.596759\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.78202 | − | 10.0148i | 0.207696 | − | 0.359741i | ||||
\(776\) | 16.7763 | + | 29.0575i | 0.602235 | + | 1.04310i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.99388 | − | 8.64965i | 0.179039 | − | 0.310105i | ||||
\(779\) | 1.99539 | + | 3.45612i | 0.0714923 | + | 0.123828i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.74345 | − | 15.1441i | 0.312865 | − | 0.541898i | ||||
\(782\) | −10.3833 | + | 17.9845i | −0.371307 | + | 0.643123i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.33198 | − | 7.50321i | −0.154615 | − | 0.267801i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −30.8135 | −1.09838 | −0.549191 | − | 0.835697i | \(-0.685064\pi\) | ||||
−0.549191 | + | 0.835697i | \(0.685064\pi\) | |||||||
\(788\) | −22.1693 | −0.789750 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.67601 | + | 4.63499i | 0.0952083 | + | 0.164906i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.410286 | + | 0.710636i | −0.0145697 | + | 0.0252354i | ||||
\(794\) | −36.6037 | + | 63.3994i | −1.29902 | + | 2.24996i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26.6355 | − | 46.1340i | −0.944070 | − | 1.63518i | ||||
\(797\) | −17.9792 | + | 31.1408i | −0.636855 | + | 1.10306i | 0.349264 | + | 0.937024i | \(0.386431\pi\) |
−0.986119 | + | 0.166040i | \(0.946902\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.58602 | + | 11.4073i | 0.232997 | + | 0.403562i | ||||
\(800\) | 4.71907 | − | 8.17367i | 0.166844 | − | 0.288983i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.17268 | − | 14.1555i | −0.288587 | − | 0.499848i | ||||
\(803\) | 14.1537 | 0.499472 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −5.72914 | + | 9.92315i | −0.201800 | + | 0.349528i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 32.8659 | − | 56.9254i | 1.15622 | − | 2.00263i | ||||
\(809\) | 19.4818 | + | 33.7435i | 0.684943 | + | 1.18636i | 0.973455 | + | 0.228880i | \(0.0735065\pi\) |
−0.288511 | + | 0.957477i | \(0.593160\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 28.2811 | 0.993082 | 0.496541 | − | 0.868013i | \(-0.334603\pi\) | ||||
0.496541 | + | 0.868013i | \(0.334603\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17.5701 | + | 30.4322i | 0.615830 | + | 1.06665i | ||||
\(815\) | −1.13492 | −0.0397544 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.58227 | −0.335241 | ||||||||
\(818\) | 43.6076 | 1.52471 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.5306 | −0.682037 | ||||||||
\(821\) | −41.5834 | −1.45127 | −0.725635 | − | 0.688080i | \(-0.758454\pi\) | ||||
−0.725635 | + | 0.688080i | \(0.758454\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.45998 | 0.294896 | 0.147448 | − | 0.989070i | \(-0.452894\pi\) | ||||
0.147448 | + | 0.989070i | \(0.452894\pi\) | |||||||
\(824\) | −4.51029 | − | 7.81205i | −0.157123 | − | 0.272146i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −44.2823 | −1.53985 | −0.769923 | − | 0.638137i | \(-0.779706\pi\) | ||||
−0.769923 | + | 0.638137i | \(0.779706\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.31637 | + | 14.4044i | 0.288839 | + | 0.500284i | 0.973533 | − | 0.228547i | \(-0.0733973\pi\) |
−0.684694 | + | 0.728831i | \(0.740064\pi\) | |||||||
\(830\) | 6.85813 | − | 11.8786i | 0.238049 | − | 0.412314i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.01045 | + | 13.8745i | −0.277712 | + | 0.481012i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 21.3158 | 0.737665 | ||||||||
\(836\) | 5.52185 | + | 9.56412i | 0.190977 | + | 0.330782i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 26.8068 | − | 46.4308i | 0.926027 | − | 1.60393i | ||||
\(839\) | 14.8006 | + | 25.6354i | 0.510974 | + | 0.885033i | 0.999919 | + | 0.0127182i | \(0.00404843\pi\) |
−0.488945 | + | 0.872314i | \(0.662618\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.9556 | − | 24.1718i | 0.481228 | − | 0.833512i | ||||
\(842\) | 24.8657 | + | 43.0687i | 0.856929 | + | 1.48424i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −25.5997 | + | 44.3400i | −0.881178 | + | 1.52624i | ||||
\(845\) | −15.8469 | + | 27.4477i | −0.545151 | + | 0.944228i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 7.34105 | + | 12.7151i | 0.252093 | + | 0.436638i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −27.9027 | −0.957055 | ||||||||
\(851\) | 28.5839 | 0.979844 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.0619 | + | 26.0880i | 0.515710 | + | 0.893236i | 0.999834 | + | 0.0182366i | \(0.00580520\pi\) |
−0.484124 | + | 0.875000i | \(0.660861\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 35.4613 | − | 61.4208i | 1.21204 | − | 2.09932i | ||||
\(857\) | −18.5447 | + | 32.1204i | −0.633475 | + | 1.09721i | 0.353361 | + | 0.935487i | \(0.385039\pi\) |
−0.986836 | + | 0.161724i | \(0.948295\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.89166 | − | 3.27646i | −0.0645427 | − | 0.111791i | 0.831948 | − | 0.554853i | \(-0.187226\pi\) |
−0.896491 | + | 0.443062i | \(0.853892\pi\) | |||||||
\(860\) | 23.4474 | − | 40.6121i | 0.799551 | − | 1.38486i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.1583 | + | 41.8434i | 0.822835 | + | 1.42519i | ||||
\(863\) | −0.213559 | + | 0.369895i | −0.00726963 | + | 0.0125914i | −0.869637 | − | 0.493691i | \(-0.835647\pi\) |
0.862368 | + | 0.506282i | \(0.168981\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.92218 | − | 10.2575i | −0.201360 | − | 0.348766i | ||||
\(866\) | 51.7388 | 1.75815 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.519608 | + | 0.899987i | −0.0176265 | + | 0.0305300i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.39105 | − | 16.2658i | 0.318203 | − | 0.551145i | ||||
\(872\) | −31.5933 | − | 54.7212i | −1.06988 | − | 1.85309i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.8428 | 0.468240 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.63038 | − | 9.75210i | −0.190124 | − | 0.329305i | 0.755167 | − | 0.655532i | \(-0.227556\pi\) |
−0.945291 | + | 0.326228i | \(0.894222\pi\) | |||||||
\(878\) | 84.6816 | 2.85786 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.99374 | −0.303179 | ||||||||
\(881\) | −35.4810 | −1.19538 | −0.597692 | − | 0.801726i | \(-0.703916\pi\) | ||||
−0.597692 | + | 0.801726i | \(0.703916\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.30092 | −0.178390 | −0.0891952 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891952 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(884\) | 17.9418 | 0.603447 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 45.8428 | 1.54012 | ||||||||
\(887\) | −28.7832 | − | 49.8540i | −0.966446 | − | 1.67393i | −0.705679 | − | 0.708532i | \(-0.749358\pi\) |
−0.260767 | − | 0.965402i | \(-0.583975\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 44.6686 | 1.49730 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.64231 | − | 14.9689i | −0.289366 | − | 0.501197i | ||||
\(893\) | 4.39016 | − | 7.60398i | 0.146911 | − | 0.254458i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 15.4585 | − | 26.7749i | 0.516720 | − | 0.894985i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 70.6708 | 2.35832 | ||||||||
\(899\) | 1.70842 | + | 2.95906i | 0.0569788 | + | 0.0986903i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.6837 | + | 18.5047i | −0.355925 | + | 0.616480i | ||||
\(902\) | −2.92188 | − | 5.06085i | −0.0972881 | − | 0.168508i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.42117 | − | 5.92565i | 0.113787 | − | 0.197084i | ||||
\(905\) | 28.6700 | + | 49.6579i | 0.953023 | + | 1.65068i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.4486 | + | 18.0975i | −0.346939 | + | 0.600917i | −0.985704 | − | 0.168485i | \(-0.946112\pi\) |
0.638765 | + | 0.769402i | \(0.279446\pi\) | |||||||
\(908\) | −36.4402 | + | 63.1163i | −1.20931 | + | 2.09459i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.3819 | − | 19.7141i | −0.377101 | − | 0.653157i | 0.613539 | − | 0.789665i | \(-0.289746\pi\) |
−0.990639 | + | 0.136508i | \(0.956412\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.66332 | 0.0881430 | ||||||||
\(914\) | −22.8231 | −0.754923 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 51.8946 | + | 89.8841i | 1.71465 | + | 2.96986i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.6515 | − | 32.3054i | 0.615257 | − | 1.06566i | −0.375083 | − | 0.926991i | \(-0.622386\pi\) |
0.990339 | − | 0.138664i | \(-0.0442809\pi\) | |||||||
\(920\) | −15.5490 | + | 26.9317i | −0.512636 | + | 0.887911i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 26.0616 | + | 45.1399i | 0.858292 | + | 1.48660i | ||||
\(923\) | −9.46870 | + | 16.4003i | −0.311666 | + | 0.539822i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.2031 | + | 33.2607i | 0.631394 | + | 1.09361i | ||||
\(926\) | 31.2070 | − | 54.0521i | 1.02553 | − | 1.77626i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.39434 | + | 2.41508i | 0.0457716 | + | 0.0792787i | ||||
\(929\) | 5.66725 | 0.185937 | 0.0929683 | − | 0.995669i | \(-0.470364\pi\) | ||||
0.0929683 | + | 0.995669i | \(0.470364\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 25.5145 | − | 44.1923i | 0.835754 | − | 1.44757i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −41.7138 | + | 72.2503i | −1.36492 | + | 2.36410i | ||||
\(935\) | −6.54444 | − | 11.3353i | −0.214026 | − | 0.370704i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.64754 | 0.249834 | 0.124917 | − | 0.992167i | \(-0.460134\pi\) | ||||
0.124917 | + | 0.992167i | \(0.460134\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.4851 | + | 37.2133i | 0.700766 | + | 1.21376i | ||||
\(941\) | 20.4552 | 0.666819 | 0.333410 | − | 0.942782i | \(-0.391801\pi\) | ||||
0.333410 | + | 0.942782i | \(0.391801\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.75348 | −0.154795 | ||||||||
\(944\) | −27.7817 | −0.904219 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.0315 | 0.456202 | ||||||||
\(947\) | 4.76687 | 0.154902 | 0.0774512 | − | 0.996996i | \(-0.475322\pi\) | ||||
0.0774512 | + | 0.996996i | \(0.475322\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.3277 | −0.497558 | ||||||||
\(950\) | 9.29980 | + | 16.1077i | 0.301725 | + | 0.522604i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 48.9412 | 1.58536 | 0.792680 | − | 0.609638i | \(-0.208685\pi\) | ||||
0.792680 | + | 0.609638i | \(0.208685\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.1028 | − | 20.9627i | −0.391638 | − | 0.678337i | ||||
\(956\) | −20.4478 | + | 35.4166i | −0.661328 | + | 1.14545i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 35.5773 | − | 61.6217i | 1.14945 | − | 1.99091i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.2771 | −0.654101 | ||||||||
\(962\) | −19.0275 | − | 32.9565i | −0.613470 | − | 1.06256i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −42.8309 | + | 74.1854i | −1.37949 | + | 2.38935i | ||||
\(965\) | −27.4340 | − | 47.5171i | −0.883132 | − | 1.52963i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.95856 | + | 5.12438i | −0.0951409 | + | 0.164789i | −0.909667 | − | 0.415337i | \(-0.863664\pi\) |
0.814526 | + | 0.580126i | \(0.196997\pi\) | |||||||
\(968\) | 18.5680 | + | 32.1608i | 0.596799 | + | 1.03369i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −28.8729 | + | 50.0093i | −0.927052 | + | 1.60570i | ||||
\(971\) | 14.4888 | − | 25.0953i | 0.464966 | − | 0.805345i | −0.534234 | − | 0.845337i | \(-0.679400\pi\) |
0.999200 | + | 0.0399914i | \(0.0127331\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −26.7933 | − | 46.4074i | −0.858513 | − | 1.48699i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.27316 | −0.0407528 | ||||||||
\(977\) | −22.8455 | −0.730893 | −0.365447 | − | 0.930832i | \(-0.619084\pi\) | ||||
−0.365447 | + | 0.930832i | \(0.619084\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.33670 | + | 7.51139i | 0.138602 | + | 0.240065i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −41.8232 | + | 72.4400i | −1.33463 | + | 2.31165i | ||||
\(983\) | 15.6351 | − | 27.0809i | 0.498684 | − | 0.863745i | −0.501315 | − | 0.865265i | \(-0.667150\pi\) |
0.999999 | + | 0.00151933i | \(0.000483619\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.75726 | − | 15.1680i | −0.279029 | − | 0.483293i | ||||
\(986\) | 4.12221 | − | 7.13988i | 0.131278 | − | 0.227380i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.97988 | − | 10.3574i | −0.190245 | − | 0.329514i | ||||
\(989\) | 5.70679 | − | 9.88444i | 0.181465 | − | 0.314307i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.50732 | + | 6.07485i | 0.111414 | + | 0.192974i | 0.916340 | − | 0.400400i | \(-0.131129\pi\) |
−0.804927 | + | 0.593374i | \(0.797796\pi\) | |||||||
\(992\) | 8.75161 | 0.277864 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 21.0429 | − | 36.4474i | 0.667105 | − | 1.15546i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.6439 | + | 18.4358i | −0.337095 | + | 0.583866i | −0.983885 | − | 0.178802i | \(-0.942778\pi\) |
0.646790 | + | 0.762668i | \(0.276111\pi\) | |||||||
\(998\) | 10.6636 | + | 18.4698i | 0.337549 | + | 0.584653i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))