Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,3,Mod(19,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 7, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.u (of order \(8\), degree \(4\), 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: | \(7.84743161358\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 32) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 163.5 | ||
Character | \(\chi\) | \(=\) | 288.163 |
Dual form | 288.3.u.a.235.5 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.44490 | + | 1.38284i | 0.722452 | + | 0.691421i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.175499 | + | 3.99615i | 0.0438747 | + | 0.999037i | ||||
\(5\) | 3.18221 | + | 7.68254i | 0.636442 | + | 1.53651i | 0.831387 | + | 0.555693i | \(0.187547\pi\) |
−0.194945 | + | 0.980814i | \(0.562453\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.67370 | + | 3.67370i | 0.524814 | + | 0.524814i | 0.919021 | − | 0.394208i | \(-0.128981\pi\) |
−0.394208 | + | 0.919021i | \(0.628981\pi\) | |||||||
\(8\) | −5.27246 | + | 6.01674i | −0.659058 | + | 0.752092i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.02574 | + | 15.5010i | −0.602574 | + | 1.55010i | ||||
\(11\) | −6.10089 | − | 14.7288i | −0.554626 | − | 1.33899i | −0.913971 | − | 0.405781i | \(-0.867000\pi\) |
0.359345 | − | 0.933205i | \(-0.383000\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.82075 | − | 6.80990i | 0.216981 | − | 0.523839i | −0.777484 | − | 0.628902i | \(-0.783505\pi\) |
0.994466 | + | 0.105063i | \(0.0335046\pi\) | |||||||
\(14\) | 0.228001 | + | 10.3883i | 0.0162858 | + | 0.742020i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −15.9384 | + | 1.40264i | −0.996150 | + | 0.0876648i | ||||
\(17\) | 3.67152i | 0.215972i | 0.994152 | + | 0.107986i | \(0.0344401\pi\) | ||||
−0.994152 | + | 0.107986i | \(0.965560\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.65751 | − | 0.686564i | −0.0872375 | − | 0.0361349i | 0.338638 | − | 0.940917i | \(-0.390034\pi\) |
−0.425875 | + | 0.904782i | \(0.640034\pi\) | |||||||
\(20\) | −30.1421 | + | 14.0649i | −1.50710 | + | 0.703243i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 11.5525 | − | 29.7183i | 0.525112 | − | 1.35083i | ||||
\(23\) | 8.31529 | − | 8.31529i | 0.361534 | − | 0.361534i | −0.502843 | − | 0.864378i | \(-0.667713\pi\) |
0.864378 | + | 0.502843i | \(0.167713\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −31.2172 | + | 31.2172i | −1.24869 | + | 1.24869i | ||||
\(26\) | 13.4927 | − | 5.93900i | 0.518951 | − | 0.228423i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −14.0359 | + | 15.3254i | −0.501282 | + | 0.547334i | ||||
\(29\) | 38.8592 | + | 16.0960i | 1.33997 | + | 0.555035i | 0.933483 | − | 0.358621i | \(-0.116753\pi\) |
0.406489 | + | 0.913656i | \(0.366753\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.11293i | 0.132675i | 0.997797 | + | 0.0663376i | \(0.0211314\pi\) | ||||
−0.997797 | + | 0.0663376i | \(0.978869\pi\) | |||||||
\(32\) | −24.9691 | − | 20.0136i | −0.780284 | − | 0.625425i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.07713 | + | 5.30499i | −0.149327 | + | 0.156029i | ||||
\(35\) | −16.5328 | + | 39.9138i | −0.472367 | + | 1.14039i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 19.8759 | + | 47.9847i | 0.537186 | + | 1.29688i | 0.926679 | + | 0.375853i | \(0.122650\pi\) |
−0.389493 | + | 0.921030i | \(0.627350\pi\) | |||||||
\(38\) | −1.44554 | − | 3.28410i | −0.0380405 | − | 0.0864236i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −63.0019 | − | 21.3593i | −1.57505 | − | 0.533984i | ||||
\(41\) | −21.1187 | − | 21.1187i | −0.515091 | − | 0.515091i | 0.400991 | − | 0.916082i | \(-0.368666\pi\) |
−0.916082 | + | 0.400991i | \(0.868666\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.102495 | − | 0.247444i | −0.00238360 | − | 0.00575451i | 0.922683 | − | 0.385559i | \(-0.125991\pi\) |
−0.925067 | + | 0.379804i | \(0.875991\pi\) | |||||||
\(44\) | 57.7879 | − | 26.9649i | 1.31336 | − | 0.612839i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 23.5135 | − | 0.516073i | 0.511164 | − | 0.0112190i | ||||
\(47\) | 39.3838 | 0.837952 | 0.418976 | − | 0.907997i | \(-0.362389\pi\) | ||||
0.418976 | + | 0.907997i | \(0.362389\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 22.0079i | − | 0.449141i | ||||||
\(50\) | −88.2745 | + | 1.93744i | −1.76549 | + | 0.0387488i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 27.7084 | + | 10.0770i | 0.532854 | + | 0.193789i | ||||
\(53\) | −22.6154 | + | 9.36759i | −0.426705 | + | 0.176747i | −0.585692 | − | 0.810534i | \(-0.699177\pi\) |
0.158987 | + | 0.987281i | \(0.449177\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 93.7406 | − | 93.7406i | 1.70437 | − | 1.70437i | ||||
\(56\) | −41.4731 | + | 2.73426i | −0.740591 | + | 0.0488260i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 33.8896 | + | 76.9933i | 0.584304 | + | 1.32747i | ||||
\(59\) | 101.380 | − | 41.9931i | 1.71831 | − | 0.711747i | 0.718441 | − | 0.695588i | \(-0.244856\pi\) |
0.999869 | − | 0.0161592i | \(-0.00514387\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −14.0475 | − | 5.81867i | −0.230287 | − | 0.0953880i | 0.264556 | − | 0.964370i | \(-0.414775\pi\) |
−0.494843 | + | 0.868982i | \(0.664775\pi\) | |||||||
\(62\) | −5.68753 | + | 5.94279i | −0.0917344 | + | 0.0958515i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.40232 | − | 63.4460i | −0.131286 | − | 0.991345i | ||||
\(65\) | 61.2936 | 0.942978 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.67448 | − | 8.87098i | 0.0548430 | − | 0.132403i | −0.894083 | − | 0.447901i | \(-0.852172\pi\) |
0.948926 | + | 0.315498i | \(0.102172\pi\) | |||||||
\(68\) | −14.6719 | + | 0.644346i | −0.215764 | + | 0.00947568i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −79.0828 | + | 34.8093i | −1.12975 | + | 0.497276i | ||||
\(71\) | −75.7712 | − | 75.7712i | −1.06720 | − | 1.06720i | −0.997573 | − | 0.0696271i | \(-0.977819\pi\) |
−0.0696271 | − | 0.997573i | \(-0.522181\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −29.0378 | − | 29.0378i | −0.397779 | − | 0.397779i | 0.479670 | − | 0.877449i | \(-0.340756\pi\) |
−0.877449 | + | 0.479670i | \(0.840756\pi\) | |||||||
\(74\) | −37.6364 | + | 96.8185i | −0.508600 | + | 1.30836i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.45272 | − | 6.74415i | 0.0322726 | − | 0.0887389i | ||||
\(77\) | 31.6965 | − | 76.5221i | 0.411643 | − | 0.993793i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.76556 | 0.0350072 | 0.0175036 | − | 0.999847i | \(-0.494428\pi\) | ||||
0.0175036 | + | 0.999847i | \(0.494428\pi\) | |||||||
\(80\) | −61.4952 | − | 117.984i | −0.768690 | − | 1.47480i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.31069 | − | 59.7184i | −0.0159841 | − | 0.728273i | ||||
\(83\) | 79.1972 | + | 32.8045i | 0.954183 | + | 0.395235i | 0.804801 | − | 0.593544i | \(-0.202272\pi\) |
0.149381 | + | 0.988780i | \(0.452272\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −28.2066 | + | 11.6835i | −0.331842 | + | 0.137453i | ||||
\(86\) | 0.194081 | − | 0.499267i | 0.00225675 | − | 0.00580543i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 120.786 | + | 40.9498i | 1.37257 | + | 0.465339i | ||||
\(89\) | −72.4200 | + | 72.4200i | −0.813708 | + | 0.813708i | −0.985188 | − | 0.171480i | \(-0.945145\pi\) |
0.171480 | + | 0.985188i | \(0.445145\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 35.3801 | − | 14.6549i | 0.388792 | − | 0.161043i | ||||
\(92\) | 34.6885 | + | 31.7698i | 0.377048 | + | 0.345324i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 56.9058 | + | 54.4615i | 0.605380 | + | 0.579378i | ||||
\(95\) | − | 14.9187i | − | 0.157039i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 66.0511 | 0.680940 | 0.340470 | − | 0.940255i | \(-0.389414\pi\) | ||||
0.340470 | + | 0.940255i | \(0.389414\pi\) | |||||||
\(98\) | 30.4335 | − | 31.7993i | 0.310545 | − | 0.324483i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −130.227 | − | 119.270i | −1.30227 | − | 1.19270i | ||||
\(101\) | 7.51179 | + | 18.1351i | 0.0743742 | + | 0.179555i | 0.956694 | − | 0.291095i | \(-0.0940195\pi\) |
−0.882320 | + | 0.470650i | \(0.844019\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.589180 | + | 0.589180i | 0.00572020 | + | 0.00572020i | 0.709961 | − | 0.704241i | \(-0.248712\pi\) |
−0.704241 | + | 0.709961i | \(0.748712\pi\) | |||||||
\(104\) | 26.1011 | + | 52.8767i | 0.250972 | + | 0.508430i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −45.6309 | − | 17.7382i | −0.430480 | − | 0.167341i | ||||
\(107\) | 55.4567 | + | 133.884i | 0.518287 | + | 1.25126i | 0.938955 | + | 0.344041i | \(0.111796\pi\) |
−0.420668 | + | 0.907215i | \(0.638204\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 29.4015 | − | 70.9815i | 0.269739 | − | 0.651207i | −0.729732 | − | 0.683733i | \(-0.760355\pi\) |
0.999471 | + | 0.0325264i | \(0.0103553\pi\) | |||||||
\(110\) | 265.075 | − | 5.81783i | 2.40977 | − | 0.0528894i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −63.7057 | − | 53.4000i | −0.568801 | − | 0.476786i | ||||
\(113\) | 134.274i | 1.18826i | 0.804368 | + | 0.594131i | \(0.202504\pi\) | ||||
−0.804368 | + | 0.594131i | \(0.797496\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 90.3436 | + | 37.4215i | 0.785596 | + | 0.325405i | ||||
\(116\) | −57.5023 | + | 158.112i | −0.495709 | + | 1.36303i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 204.555 | + | 79.5169i | 1.73351 | + | 0.673872i | ||||
\(119\) | −13.4880 | + | 13.4880i | −0.113345 | + | 0.113345i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −94.1580 | + | 94.1580i | −0.778166 | + | 0.778166i | ||||
\(122\) | −12.2510 | − | 27.8329i | −0.100418 | − | 0.228138i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −16.4359 | + | 0.721814i | −0.132547 | + | 0.00582108i | ||||
\(125\) | −147.104 | − | 60.9325i | −1.17683 | − | 0.487460i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 95.5030i | − | 0.751992i | −0.926621 | − | 0.375996i | \(-0.877301\pi\) | ||
0.926621 | − | 0.375996i | \(-0.122699\pi\) | |||||||
\(128\) | 75.5953 | − | 103.293i | 0.590588 | − | 0.806973i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 88.5634 | + | 84.7593i | 0.681257 | + | 0.651995i | ||||
\(131\) | 67.1188 | − | 162.039i | 0.512357 | − | 1.23694i | −0.430151 | − | 0.902757i | \(-0.641540\pi\) |
0.942508 | − | 0.334183i | \(-0.108460\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.56697 | − | 8.61142i | −0.0268193 | − | 0.0647475i | ||||
\(134\) | 17.5764 | − | 7.73649i | 0.131167 | − | 0.0577350i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −22.0906 | − | 19.3579i | −0.162431 | − | 0.142338i | ||||
\(137\) | −88.7244 | − | 88.7244i | −0.647624 | − | 0.647624i | 0.304794 | − | 0.952418i | \(-0.401412\pi\) |
−0.952418 | + | 0.304794i | \(0.901412\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −27.6838 | − | 66.8346i | −0.199164 | − | 0.480824i | 0.792469 | − | 0.609912i | \(-0.208795\pi\) |
−0.991633 | + | 0.129087i | \(0.958795\pi\) | |||||||
\(140\) | −162.403 | − | 59.0628i | −1.16002 | − | 0.421877i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.70260 | − | 214.262i | −0.0331169 | − | 1.50889i | ||||
\(143\) | −117.511 | −0.821756 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 349.758i | 2.41213i | ||||||||
\(146\) | −1.80218 | − | 82.1116i | −0.0123437 | − | 0.562409i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −188.266 | + | 87.8483i | −1.27207 | + | 0.593569i | ||||
\(149\) | 100.536 | − | 41.6433i | 0.674737 | − | 0.279485i | −0.0188878 | − | 0.999822i | \(-0.506013\pi\) |
0.693625 | + | 0.720336i | \(0.256013\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −134.706 | + | 134.706i | −0.892096 | + | 0.892096i | −0.994720 | − | 0.102624i | \(-0.967276\pi\) |
0.102624 | + | 0.994720i | \(0.467276\pi\) | |||||||
\(152\) | 12.8700 | − | 6.35294i | 0.0846713 | − | 0.0417956i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 151.616 | − | 66.7359i | 0.984522 | − | 0.433350i | ||||
\(155\) | −31.5977 | + | 13.0882i | −0.203856 | + | 0.0844401i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −56.0501 | − | 23.2167i | −0.357007 | − | 0.147877i | 0.196969 | − | 0.980410i | \(-0.436890\pi\) |
−0.553976 | + | 0.832533i | \(0.686890\pi\) | |||||||
\(158\) | 3.99598 | + | 3.82434i | 0.0252910 | + | 0.0242047i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 74.2983 | − | 255.514i | 0.464365 | − | 1.59696i | ||||
\(161\) | 61.0957 | 0.379476 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 85.7621 | − | 207.048i | 0.526148 | − | 1.27023i | −0.407881 | − | 0.913035i | \(-0.633732\pi\) |
0.934029 | − | 0.357198i | \(-0.116268\pi\) | |||||||
\(164\) | 80.6872 | − | 88.0998i | 0.491995 | − | 0.537194i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 69.0689 | + | 156.917i | 0.416077 | + | 0.945280i | ||||
\(167\) | −72.6395 | − | 72.6395i | −0.434967 | − | 0.434967i | 0.455347 | − | 0.890314i | \(-0.349515\pi\) |
−0.890314 | + | 0.455347i | \(0.849515\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 81.0829 | + | 81.0829i | 0.479781 | + | 0.479781i | ||||
\(170\) | −56.9123 | − | 22.1236i | −0.334778 | − | 0.130139i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.970835 | − | 0.453010i | 0.00564439 | − | 0.00263378i | ||||
\(173\) | 4.05480 | − | 9.78916i | 0.0234382 | − | 0.0565847i | −0.911727 | − | 0.410796i | \(-0.865251\pi\) |
0.935165 | + | 0.354212i | \(0.115251\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −229.365 | −1.31066 | ||||||||
\(176\) | 117.898 | + | 226.197i | 0.669873 | + | 1.28521i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −204.785 | + | 4.49461i | −1.15048 | + | 0.0252506i | ||||
\(179\) | −214.146 | − | 88.7024i | −1.19635 | − | 0.495544i | −0.306531 | − | 0.951861i | \(-0.599168\pi\) |
−0.889817 | + | 0.456317i | \(0.849168\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −98.2125 | + | 40.6810i | −0.542611 | + | 0.224757i | −0.637116 | − | 0.770768i | \(-0.719873\pi\) |
0.0945057 | + | 0.995524i | \(0.469873\pi\) | |||||||
\(182\) | 71.3863 | + | 27.7501i | 0.392233 | + | 0.152473i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.18890 | + | 93.8730i | 0.0336353 | + | 0.510179i | ||||
\(185\) | −305.395 | + | 305.395i | −1.65078 | + | 1.65078i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 54.0772 | − | 22.3995i | 0.289183 | − | 0.119783i | ||||
\(188\) | 6.91180 | + | 157.383i | 0.0367649 | + | 0.837145i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 20.6302 | − | 21.5561i | 0.108580 | − | 0.113453i | ||||
\(191\) | − | 181.842i | − | 0.952052i | −0.879431 | − | 0.476026i | \(-0.842077\pi\) | ||
0.879431 | − | 0.476026i | \(-0.157923\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −221.267 | −1.14646 | −0.573230 | − | 0.819394i | \(-0.694310\pi\) | ||||
−0.573230 | + | 0.819394i | \(0.694310\pi\) | |||||||
\(194\) | 95.4376 | + | 91.3383i | 0.491946 | + | 0.470816i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 87.9469 | − | 3.86236i | 0.448709 | − | 0.0197059i | ||||
\(197\) | 15.4361 | + | 37.2660i | 0.0783556 | + | 0.189167i | 0.958203 | − | 0.286089i | \(-0.0923553\pi\) |
−0.879847 | + | 0.475256i | \(0.842355\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −135.618 | − | 135.618i | −0.681498 | − | 0.681498i | 0.278840 | − | 0.960338i | \(-0.410050\pi\) |
−0.960338 | + | 0.278840i | \(0.910050\pi\) | |||||||
\(200\) | −23.2343 | − | 352.418i | −0.116172 | − | 1.76209i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −14.2241 | + | 36.5911i | −0.0704164 | + | 0.181144i | ||||
\(203\) | 83.6250 | + | 201.889i | 0.411946 | + | 0.994526i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 95.0411 | − | 229.450i | 0.463615 | − | 1.11927i | ||||
\(206\) | 0.0365664 | + | 1.66605i | 0.000177507 | + | 0.00808763i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −35.4065 | + | 112.495i | −0.170223 | + | 0.540844i | ||||
\(209\) | 28.6019i | 0.136851i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 138.015 | + | 57.1678i | 0.654100 | + | 0.270937i | 0.684954 | − | 0.728587i | \(-0.259822\pi\) |
−0.0308532 | + | 0.999524i | \(0.509822\pi\) | |||||||
\(212\) | −41.4032 | − | 88.7303i | −0.195298 | − | 0.418539i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −105.011 | + | 270.138i | −0.490706 | + | 1.26233i | ||||
\(215\) | 1.57484 | − | 1.57484i | 0.00732483 | − | 0.00732483i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.1097 | + | 15.1097i | −0.0696298 | + | 0.0696298i | ||||
\(218\) | 140.639 | − | 61.9039i | 0.645131 | − | 0.283963i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 391.053 | + | 358.150i | 1.77751 | + | 1.62795i | ||||
\(221\) | 25.0027 | + | 10.3564i | 0.113134 | + | 0.0468618i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 30.6228i | − | 0.137322i | −0.997640 | − | 0.0686609i | \(-0.978127\pi\) | ||
0.997640 | − | 0.0686609i | \(-0.0218727\pi\) | |||||||
\(224\) | −18.2050 | − | 165.253i | −0.0812721 | − | 0.737736i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −185.679 | + | 194.013i | −0.821589 | + | 0.858463i | ||||
\(227\) | −8.41171 | + | 20.3077i | −0.0370560 | + | 0.0894611i | −0.941324 | − | 0.337504i | \(-0.890417\pi\) |
0.904268 | + | 0.426965i | \(0.140417\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 76.6532 | + | 185.057i | 0.334730 | + | 0.808110i | 0.998204 | + | 0.0599101i | \(0.0190814\pi\) |
−0.663474 | + | 0.748199i | \(0.730919\pi\) | |||||||
\(230\) | 78.7898 | + | 179.001i | 0.342564 | + | 0.778267i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −301.729 | + | 148.940i | −1.30056 | + | 0.641983i | ||||
\(233\) | 127.558 | + | 127.558i | 0.547461 | + | 0.547461i | 0.925706 | − | 0.378245i | \(-0.123472\pi\) |
−0.378245 | + | 0.925706i | \(0.623472\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 125.327 | + | 302.567i | 0.533308 | + | 1.28752i | ||||
\(236\) | 185.603 | + | 397.761i | 0.786452 | + | 1.68543i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −38.1408 | + | 0.837110i | −0.160255 | + | 0.00351727i | ||||
\(239\) | −397.241 | −1.66210 | −0.831048 | − | 0.556200i | \(-0.812259\pi\) | ||||
−0.831048 | + | 0.556200i | \(0.812259\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 401.128i | − | 1.66443i | −0.554451 | − | 0.832216i | \(-0.687072\pi\) | ||
0.554451 | − | 0.832216i | \(-0.312928\pi\) | |||||||
\(242\) | −266.255 | + | 5.84374i | −1.10023 | + | 0.0241477i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 20.7869 | − | 57.1571i | 0.0851924 | − | 0.234250i | ||||
\(245\) | 169.077 | − | 70.0338i | 0.690109 | − | 0.285852i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.35087 | + | 9.35087i | −0.0378578 | + | 0.0378578i | ||||
\(248\) | −24.7464 | − | 21.6853i | −0.0997840 | − | 0.0874406i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −128.291 | − | 291.463i | −0.513166 | − | 1.16585i | ||||
\(251\) | −220.193 | + | 91.2070i | −0.877264 | + | 0.363375i | −0.775435 | − | 0.631427i | \(-0.782469\pi\) |
−0.101829 | + | 0.994802i | \(0.532469\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −173.205 | − | 71.7440i | −0.684606 | − | 0.283573i | ||||
\(254\) | 132.066 | − | 137.993i | 0.519943 | − | 0.543279i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 252.065 | − | 44.7116i | 0.984630 | − | 0.174655i | ||||
\(257\) | −436.624 | −1.69893 | −0.849463 | − | 0.527648i | \(-0.823074\pi\) | ||||
−0.849463 | + | 0.527648i | \(0.823074\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −103.263 | + | 249.299i | −0.398699 | + | 0.962545i | ||||
\(260\) | 10.7569 | + | 244.938i | 0.0413729 | + | 0.942070i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 321.055 | − | 141.316i | 1.22540 | − | 0.539376i | ||||
\(263\) | 324.662 | + | 324.662i | 1.23445 | + | 1.23445i | 0.962235 | + | 0.272219i | \(0.0877576\pi\) |
0.272219 | + | 0.962235i | \(0.412242\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −143.934 | − | 143.934i | −0.543146 | − | 0.543146i | ||||
\(266\) | 6.75430 | − | 17.3752i | 0.0253921 | − | 0.0653204i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 36.0946 | + | 13.1269i | 0.134681 | + | 0.0489810i | ||||
\(269\) | 98.7998 | − | 238.524i | 0.367286 | − | 0.886706i | −0.626907 | − | 0.779094i | \(-0.715680\pi\) |
0.994193 | − | 0.107612i | \(-0.0343205\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −91.7678 | −0.338627 | −0.169313 | − | 0.985562i | \(-0.554155\pi\) | ||||
−0.169313 | + | 0.985562i | \(0.554155\pi\) | |||||||
\(272\) | −5.14981 | − | 58.5181i | −0.0189331 | − | 0.215140i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.50651 | − | 250.890i | −0.0200968 | − | 0.915658i | ||||
\(275\) | 650.247 | + | 269.341i | 2.36453 | + | 0.979422i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 42.7749 | − | 17.7179i | 0.154422 | − | 0.0639636i | −0.304134 | − | 0.952629i | \(-0.598367\pi\) |
0.458556 | + | 0.888666i | \(0.348367\pi\) | |||||||
\(278\) | 52.4212 | − | 134.852i | 0.188566 | − | 0.485079i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −152.982 | − | 309.918i | −0.546365 | − | 1.10685i | ||||
\(281\) | 167.424 | − | 167.424i | 0.595813 | − | 0.595813i | −0.343382 | − | 0.939196i | \(-0.611573\pi\) |
0.939196 | + | 0.343382i | \(0.111573\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −494.380 | + | 204.779i | −1.74693 | + | 0.723601i | −0.748775 | + | 0.662824i | \(0.769358\pi\) |
−0.998151 | + | 0.0607762i | \(0.980642\pi\) | |||||||
\(284\) | 289.495 | − | 316.091i | 1.01935 | − | 1.11300i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −169.792 | − | 162.499i | −0.593679 | − | 0.568179i | ||||
\(287\) | − | 155.168i | − | 0.540653i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 275.520 | 0.953356 | ||||||||
\(290\) | −483.660 | + | 505.367i | −1.66779 | + | 1.74265i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 110.943 | − | 121.136i | 0.379943 | − | 0.414848i | ||||
\(293\) | −146.767 | − | 354.328i | −0.500913 | − | 1.20931i | −0.948987 | − | 0.315314i | \(-0.897890\pi\) |
0.448075 | − | 0.893996i | \(-0.352110\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 645.227 | + | 645.227i | 2.18721 | + | 2.18721i | ||||
\(296\) | −393.506 | − | 133.409i | −1.32941 | − | 0.450707i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 202.851 | + | 78.8545i | 0.680707 | + | 0.264613i | ||||
\(299\) | −33.1709 | − | 80.0817i | −0.110940 | − | 0.267832i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.532500 | − | 1.28557i | 0.00176910 | − | 0.00427099i | ||||
\(302\) | −380.916 | + | 8.36030i | −1.26131 | + | 0.0276831i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 27.3811 | + | 8.61784i | 0.0900694 | + | 0.0283482i | ||||
\(305\) | − | 126.437i | − | 0.414547i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −53.4306 | − | 22.1317i | −0.174041 | − | 0.0720902i | 0.293962 | − | 0.955817i | \(-0.405026\pi\) |
−0.468003 | + | 0.883727i | \(0.655026\pi\) | |||||||
\(308\) | 311.356 | + | 113.234i | 1.01090 | + | 0.367644i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −63.7547 | − | 24.7835i | −0.205660 | − | 0.0799466i | ||||
\(311\) | −274.515 | + | 274.515i | −0.882685 | + | 0.882685i | −0.993807 | − | 0.111122i | \(-0.964556\pi\) |
0.111122 | + | 0.993807i | \(0.464556\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −78.4013 | + | 78.4013i | −0.250483 | + | 0.250483i | −0.821169 | − | 0.570685i | \(-0.806678\pi\) |
0.570685 | + | 0.821169i | \(0.306678\pi\) | |||||||
\(314\) | −48.8820 | − | 111.054i | −0.155675 | − | 0.353676i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.485353 | + | 11.0516i | 0.00153593 | + | 0.0349734i | ||||
\(317\) | 136.520 | + | 56.5483i | 0.430661 | + | 0.178386i | 0.587475 | − | 0.809243i | \(-0.300122\pi\) |
−0.156814 | + | 0.987628i | \(0.550122\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 670.551i | − | 2.10204i | ||||||
\(320\) | 460.689 | − | 266.450i | 1.43965 | − | 0.832656i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 88.2775 | + | 84.4857i | 0.274154 | + | 0.262378i | ||||
\(323\) | 2.52073 | − | 6.08558i | 0.00780412 | − | 0.0188408i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 124.530 | + | 300.643i | 0.383170 | + | 0.925054i | ||||
\(326\) | 410.232 | − | 180.569i | 1.25838 | − | 0.553893i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 238.413 | − | 15.7182i | 0.726870 | − | 0.0479214i | ||||
\(329\) | 144.684 | + | 144.684i | 0.439769 | + | 0.439769i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 143.690 | + | 346.898i | 0.434109 | + | 1.04803i | 0.977949 | + | 0.208843i | \(0.0669696\pi\) |
−0.543841 | + | 0.839189i | \(0.683030\pi\) | |||||||
\(332\) | −117.193 | + | 322.241i | −0.352990 | + | 0.970605i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.50823 | − | 205.406i | −0.0134977 | − | 0.614988i | ||||
\(335\) | 79.8446 | 0.238342 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 479.136i | − | 1.42177i | −0.703310 | − | 0.710884i | \(-0.748295\pi\) | ||
0.703310 | − | 0.710884i | \(-0.251705\pi\) | |||||||
\(338\) | 5.03226 | + | 229.282i | 0.0148883 | + | 0.678349i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −51.6394 | − | 110.667i | −0.151881 | − | 0.325492i | ||||
\(341\) | 60.5787 | − | 25.0925i | 0.177650 | − | 0.0735851i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 260.861 | − | 260.861i | 0.760529 | − | 0.760529i | ||||
\(344\) | 2.02920 | + | 0.687955i | 0.00589885 | + | 0.00199987i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.3957 | − | 8.53725i | 0.0560568 | − | 0.0246741i | ||||
\(347\) | −172.145 | + | 71.3048i | −0.496095 | + | 0.205489i | −0.616680 | − | 0.787214i | \(-0.711523\pi\) |
0.120585 | + | 0.992703i | \(0.461523\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 388.120 | + | 160.765i | 1.11209 | + | 0.460644i | 0.861658 | − | 0.507490i | \(-0.169427\pi\) |
0.250434 | + | 0.968134i | \(0.419427\pi\) | |||||||
\(350\) | −331.411 | − | 317.176i | −0.946889 | − | 0.906217i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −142.444 | + | 489.867i | −0.404669 | + | 1.39167i | ||||
\(353\) | 165.952 | 0.470120 | 0.235060 | − | 0.971981i | \(-0.424471\pi\) | ||||
0.235060 | + | 0.971981i | \(0.424471\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 340.995 | − | 823.235i | 0.960550 | − | 2.31897i | ||||
\(356\) | −302.111 | − | 276.691i | −0.848626 | − | 0.777223i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −186.760 | − | 424.297i | −0.521676 | − | 1.18519i | ||||
\(359\) | −100.971 | − | 100.971i | −0.281257 | − | 0.281257i | 0.552353 | − | 0.833610i | \(-0.313730\pi\) |
−0.833610 | + | 0.552353i | \(0.813730\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −252.990 | − | 252.990i | −0.700802 | − | 0.700802i | ||||
\(362\) | −198.163 | − | 77.0322i | −0.547412 | − | 0.212796i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 64.7724 | + | 138.812i | 0.177946 | + | 0.381352i | ||||
\(365\) | 130.680 | − | 315.489i | 0.358027 | − | 0.864353i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −651.959 | −1.77645 | −0.888227 | − | 0.459405i | \(-0.848063\pi\) | ||||
−0.888227 | + | 0.459405i | \(0.848063\pi\) | |||||||
\(368\) | −120.869 | + | 144.196i | −0.328449 | + | 0.391836i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −863.579 | + | 18.9537i | −2.33400 | + | 0.0512263i | ||||
\(371\) | −117.496 | − | 48.6683i | −0.316700 | − | 0.131181i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 605.919 | − | 250.980i | 1.62445 | − | 0.672868i | 0.629854 | − | 0.776713i | \(-0.283115\pi\) |
0.994593 | + | 0.103845i | \(0.0331146\pi\) | |||||||
\(374\) | 109.111 | + | 42.4150i | 0.291742 | + | 0.113409i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −207.649 | + | 236.962i | −0.552259 | + | 0.630218i | ||||
\(377\) | 219.224 | − | 219.224i | 0.581497 | − | 0.581497i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −431.591 | + | 178.771i | −1.13876 | + | 0.471691i | −0.870750 | − | 0.491725i | \(-0.836366\pi\) |
−0.268011 | + | 0.963416i | \(0.586366\pi\) | |||||||
\(380\) | 59.6173 | − | 2.61821i | 0.156888 | − | 0.00689003i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 251.459 | − | 262.744i | 0.658269 | − | 0.687812i | ||||
\(383\) | − | 583.987i | − | 1.52477i | −0.647124 | − | 0.762385i | \(-0.724028\pi\) | ||
0.647124 | − | 0.762385i | \(-0.275972\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 688.749 | 1.78896 | ||||||||
\(386\) | −319.710 | − | 305.977i | −0.828263 | − | 0.792687i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 11.5919 | + | 263.950i | 0.0298760 | + | 0.680284i | ||||
\(389\) | 57.9070 | + | 139.800i | 0.148861 | + | 0.359383i | 0.980667 | − | 0.195684i | \(-0.0626927\pi\) |
−0.831806 | + | 0.555067i | \(0.812693\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.5297 | + | 30.5297i | 0.0780812 | + | 0.0780812i | ||||
\(392\) | 132.416 | + | 116.036i | 0.337796 | + | 0.296010i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −29.2293 | + | 75.1914i | −0.0741860 | + | 0.190841i | ||||
\(395\) | 8.80061 | + | 21.2466i | 0.0222800 | + | 0.0537888i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 216.482 | − | 522.634i | 0.545295 | − | 1.31646i | −0.375649 | − | 0.926762i | \(-0.622580\pi\) |
0.920944 | − | 0.389696i | \(-0.127420\pi\) | |||||||
\(398\) | −8.41688 | − | 383.493i | −0.0211479 | − | 0.963551i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 453.767 | − | 541.340i | 1.13442 | − | 1.35335i | ||||
\(401\) | 271.900i | 0.678055i | 0.940776 | + | 0.339028i | \(0.110098\pi\) | ||||
−0.940776 | + | 0.339028i | \(0.889902\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 28.0087 | + | 11.6016i | 0.0695004 | + | 0.0287880i | ||||
\(404\) | −71.1521 | + | 33.2009i | −0.176119 | + | 0.0821805i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −158.350 | + | 407.350i | −0.390024 | + | 1.00333i | ||||
\(407\) | 585.498 | − | 585.498i | 1.43857 | − | 1.43857i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −181.723 | + | 181.723i | −0.444310 | + | 0.444310i | −0.893458 | − | 0.449147i | \(-0.851728\pi\) |
0.449147 | + | 0.893458i | \(0.351728\pi\) | |||||||
\(410\) | 454.618 | − | 200.106i | 1.10882 | − | 0.488063i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.25105 | + | 2.45785i | −0.00546372 | + | 0.00596566i | ||||
\(413\) | 526.710 | + | 218.171i | 1.27533 | + | 0.528258i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 712.826i | 1.71765i | ||||||||
\(416\) | −206.722 | + | 113.584i | −0.496929 | + | 0.273038i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −39.5519 | + | 41.3270i | −0.0946217 | + | 0.0988684i | ||||
\(419\) | 84.5458 | − | 204.112i | 0.201780 | − | 0.487140i | −0.790304 | − | 0.612715i | \(-0.790077\pi\) |
0.992084 | + | 0.125575i | \(0.0400775\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.1417 | + | 31.7269i | 0.0312155 | + | 0.0753608i | 0.938719 | − | 0.344685i | \(-0.112014\pi\) |
−0.907503 | + | 0.420045i | \(0.862014\pi\) | |||||||
\(422\) | 120.365 | + | 273.455i | 0.285225 | + | 0.647998i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 62.8762 | − | 185.461i | 0.148293 | − | 0.437408i | ||||
\(425\) | −114.615 | − | 114.615i | −0.269682 | − | 0.269682i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −30.2302 | − | 72.9823i | −0.0707968 | − | 0.170919i | ||||
\(428\) | −525.289 | + | 245.110i | −1.22731 | + | 0.572686i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.45324 | − | 0.0977393i | 0.0103564 | − | 0.000227301i | ||||
\(431\) | −18.4839 | −0.0428861 | −0.0214431 | − | 0.999770i | \(-0.506826\pi\) | ||||
−0.0214431 | + | 0.999770i | \(0.506826\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 370.297i | 0.855190i | 0.903970 | + | 0.427595i | \(0.140639\pi\) | ||||
−0.903970 | + | 0.427595i | \(0.859361\pi\) | |||||||
\(434\) | −42.7263 | + | 0.937752i | −0.0984476 | + | 0.00216072i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 288.813 | + | 105.036i | 0.662414 | + | 0.240907i | ||||
\(437\) | −19.4917 | + | 8.07372i | −0.0446034 | + | 0.0184753i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.47108 | + | 1.47108i | −0.00335099 | + | 0.00335099i | −0.708780 | − | 0.705429i | \(-0.750754\pi\) |
0.705429 | + | 0.708780i | \(0.250754\pi\) | |||||||
\(440\) | 69.7691 | + | 1058.26i | 0.158566 | + | 2.40513i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.8052 | + | 49.5388i | 0.0493329 | + | 0.112079i | ||||
\(443\) | −15.4970 | + | 6.41908i | −0.0349820 | + | 0.0144900i | −0.400106 | − | 0.916469i | \(-0.631027\pi\) |
0.365124 | + | 0.930959i | \(0.381027\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −786.825 | − | 325.914i | −1.76815 | − | 0.732390i | ||||
\(446\) | 42.3464 | − | 44.2470i | 0.0949472 | − | 0.0992085i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 202.214 | − | 263.949i | 0.451370 | − | 0.589172i | ||||
\(449\) | 349.645 | 0.778719 | 0.389359 | − | 0.921086i | \(-0.372696\pi\) | ||||
0.389359 | + | 0.921086i | \(0.372696\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −182.211 | + | 439.897i | −0.404016 | + | 0.975382i | ||||
\(452\) | −536.577 | + | 23.5648i | −1.18712 | + | 0.0521346i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −40.2364 | + | 17.7106i | −0.0886264 | + | 0.0390101i | ||||
\(455\) | 225.174 | + | 225.174i | 0.494888 | + | 0.494888i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 167.442 | + | 167.442i | 0.366393 | + | 0.366393i | 0.866160 | − | 0.499767i | \(-0.166581\pi\) |
−0.499767 | + | 0.866160i | \(0.666581\pi\) | |||||||
\(458\) | −145.148 | + | 373.389i | −0.316917 | + | 0.815260i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −133.687 | + | 367.594i | −0.290623 | + | 0.799117i | ||||
\(461\) | −299.864 | + | 723.935i | −0.650463 | + | 1.57036i | 0.161644 | + | 0.986849i | \(0.448320\pi\) |
−0.812107 | + | 0.583508i | \(0.801680\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −70.4485 | −0.152157 | −0.0760783 | − | 0.997102i | \(-0.524240\pi\) | ||||
−0.0760783 | + | 0.997102i | \(0.524240\pi\) | |||||||
\(464\) | −641.930 | − | 202.039i | −1.38347 | − | 0.435429i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.91667 | + | 360.703i | 0.0169886 | + | 0.774040i | ||||
\(467\) | 89.8391 | + | 37.2126i | 0.192375 | + | 0.0796843i | 0.476791 | − | 0.879017i | \(-0.341800\pi\) |
−0.284416 | + | 0.958701i | \(0.591800\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 46.0882 | − | 19.0904i | 0.0982691 | − | 0.0407044i | ||||
\(470\) | −237.316 | + | 610.489i | −0.504928 | + | 1.29891i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −281.862 | + | 831.386i | −0.597166 | + | 1.76141i | ||||
\(473\) | −3.01925 | + | 3.01925i | −0.00638320 | + | 0.00638320i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 73.1756 | − | 30.3103i | 0.154054 | − | 0.0638112i | ||||
\(476\) | −56.2673 | − | 51.5331i | −0.118209 | − | 0.108263i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −573.975 | − | 549.321i | −1.20079 | − | 1.14921i | ||||
\(479\) | 900.546i | 1.88005i | 0.341101 | + | 0.940027i | \(0.389200\pi\) | ||||
−0.341101 | + | 0.940027i | \(0.610800\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 382.836 | 0.795917 | ||||||||
\(482\) | 554.697 | − | 579.592i | 1.15082 | − | 1.20247i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −392.794 | − | 359.745i | −0.811558 | − | 0.743274i | ||||
\(485\) | 210.189 | + | 507.440i | 0.433379 | + | 1.04627i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −175.466 | − | 175.466i | −0.360301 | − | 0.360301i | 0.503623 | − | 0.863924i | \(-0.332000\pi\) |
−0.863924 | + | 0.503623i | \(0.832000\pi\) | |||||||
\(488\) | 109.074 | − | 53.8415i | 0.223513 | − | 0.110331i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 341.145 | + | 132.614i | 0.696215 | + | 0.270641i | ||||
\(491\) | 111.990 | + | 270.368i | 0.228086 | + | 0.550648i | 0.995944 | − | 0.0899713i | \(-0.0286775\pi\) |
−0.767858 | + | 0.640620i | \(0.778678\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −59.0968 | + | 142.672i | −0.119872 | + | 0.289396i | ||||
\(494\) | −26.4419 | + | 0.580344i | −0.0535261 | + | 0.00117478i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.76895 | − | 65.5535i | −0.0116309 | − | 0.132164i | ||||
\(497\) | − | 556.721i | − | 1.12016i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 96.4128 | + | 39.9355i | 0.193212 | + | 0.0800310i | 0.477192 | − | 0.878799i | \(-0.341655\pi\) |
−0.283980 | + | 0.958830i | \(0.591655\pi\) | |||||||
\(500\) | 217.679 | − | 598.544i | 0.435358 | − | 1.19709i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −444.283 | − | 172.707i | −0.885026 | − | 0.344038i | ||||
\(503\) | −491.151 | + | 491.151i | −0.976442 | + | 0.976442i | −0.999729 | − | 0.0232864i | \(-0.992587\pi\) |
0.0232864 | + | 0.999729i | \(0.492587\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −115.419 | + | 115.419i | −0.228553 | + | 0.228553i | ||||
\(506\) | −151.055 | − | 343.179i | −0.298527 | − | 0.678219i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 381.644 | − | 16.7607i | 0.751268 | − | 0.0329934i | ||||
\(509\) | −891.336 | − | 369.204i | −1.75115 | − | 0.725351i | −0.997695 | − | 0.0678534i | \(-0.978385\pi\) |
−0.753457 | − | 0.657498i | \(-0.771615\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 213.352i | − | 0.417519i | ||||||
\(512\) | 426.039 | + | 283.962i | 0.832108 | + | 0.554614i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −630.880 | − | 603.782i | −1.22739 | − | 1.17467i | ||||
\(515\) | −2.65150 | + | 6.40130i | −0.00514855 | + | 0.0124297i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −240.276 | − | 580.077i | −0.464750 | − | 1.12201i | ||||
\(518\) | −493.946 | + | 217.417i | −0.953564 | + | 0.419724i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −323.168 | + | 368.787i | −0.621477 | + | 0.709207i | ||||
\(521\) | −285.723 | − | 285.723i | −0.548413 | − | 0.548413i | 0.377569 | − | 0.925982i | \(-0.376760\pi\) |
−0.925982 | + | 0.377569i | \(0.876760\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 260.696 | + | 629.375i | 0.498462 | + | 1.20339i | 0.950312 | + | 0.311300i | \(0.100764\pi\) |
−0.451849 | + | 0.892094i | \(0.649236\pi\) | |||||||
\(524\) | 659.312 | + | 239.779i | 1.25823 | + | 0.457594i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.1495 | + | 918.060i | 0.0383070 | + | 1.74536i | ||||
\(527\) | −15.1007 | −0.0286541 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 390.712i | 0.738586i | ||||||||
\(530\) | −8.93297 | − | 407.008i | −0.0168547 | − | 0.767939i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 33.7865 | − | 15.7654i | 0.0635085 | − | 0.0296343i | ||||
\(533\) | −203.387 | + | 84.2457i | −0.381589 | + | 0.158059i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −852.096 | + | 852.096i | −1.59270 | + | 1.59270i | ||||
\(536\) | 34.0008 | + | 68.8802i | 0.0634343 | + | 0.128508i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 472.597 | − | 208.020i | 0.878433 | − | 0.386654i | ||||
\(539\) | −324.151 | + | 134.268i | −0.601393 | + | 0.249105i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 355.077 | + | 147.078i | 0.656335 | + | 0.271863i | 0.685895 | − | 0.727700i | \(-0.259411\pi\) |
−0.0295603 | + | 0.999563i | \(0.509411\pi\) | |||||||
\(542\) | −132.596 | − | 126.900i | −0.244642 | − | 0.234134i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 73.4803 | − | 91.6745i | 0.135074 | − | 0.168519i | ||||
\(545\) | 638.880 | 1.17226 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 404.897 | − | 977.508i | 0.740214 | − | 1.78704i | 0.135204 | − | 0.990818i | \(-0.456831\pi\) |
0.605010 | − | 0.796218i | \(-0.293169\pi\) | |||||||
\(548\) | 338.985 | − | 370.127i | 0.618586 | − | 0.675414i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 567.089 | + | 1288.36i | 1.03107 | + | 2.34247i | ||||
\(551\) | −53.3586 | − | 53.3586i | −0.0968396 | − | 0.0968396i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.1598 | + | 10.1598i | 0.0183722 | + | 0.0183722i | ||||
\(554\) | 86.3067 | + | 33.5501i | 0.155788 | + | 0.0605598i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 262.222 | − | 122.358i | 0.471623 | − | 0.220068i | ||||
\(557\) | 296.952 | − | 716.907i | 0.533128 | − | 1.28709i | −0.396313 | − | 0.918115i | \(-0.629711\pi\) |
0.929441 | − | 0.368970i | \(-0.120289\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.97418 | −0.00353163 | ||||||||
\(560\) | 207.522 | − | 659.352i | 0.370576 | − | 1.17741i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 473.431 | − | 10.3908i | 0.842405 | − | 0.0184890i | ||||
\(563\) | 44.6869 | + | 18.5099i | 0.0793728 | + | 0.0328773i | 0.422017 | − | 0.906588i | \(-0.361322\pi\) |
−0.342644 | + | 0.939465i | \(0.611322\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1031.56 | + | 427.287i | −1.82577 | + | 0.756260i | ||||
\(566\) | −997.509 | − | 387.763i | −1.76238 | − | 0.685094i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 855.396 | − | 56.3949i | 1.50598 | − | 0.0992868i | ||||
\(569\) | −487.094 | + | 487.094i | −0.856053 | + | 0.856053i | −0.990870 | − | 0.134818i | \(-0.956955\pi\) |
0.134818 | + | 0.990870i | \(0.456955\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −252.561 | + | 104.614i | −0.442313 | + | 0.183212i | −0.592714 | − | 0.805413i | \(-0.701944\pi\) |
0.150401 | + | 0.988625i | \(0.451944\pi\) | |||||||
\(572\) | −20.6230 | − | 469.592i | −0.0360543 | − | 0.820964i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 214.572 | − | 224.202i | 0.373819 | − | 0.390596i | ||||
\(575\) | 519.161i | 0.902889i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 460.004 | 0.797234 | 0.398617 | − | 0.917118i | \(-0.369490\pi\) | ||||
0.398617 | + | 0.917118i | \(0.369490\pi\) | |||||||
\(578\) | 398.100 | + | 381.000i | 0.688754 | + | 0.659170i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1397.69 | + | 61.3821i | −2.40980 | + | 0.105831i | ||||
\(581\) | 170.432 | + | 411.460i | 0.293343 | + | 0.708193i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 275.947 | + | 275.947i | 0.473323 | + | 0.473323i | ||||
\(584\) | 327.814 | − | 21.6123i | 0.561325 | − | 0.0370073i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 277.914 | − | 714.926i | 0.474257 | − | 1.22001i | ||||
\(587\) | −68.3015 | − | 164.895i | −0.116357 | − | 0.280911i | 0.854962 | − | 0.518690i | \(-0.173580\pi\) |
−0.971319 | + | 0.237780i | \(0.923580\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.82379 | − | 6.81723i | 0.00479421 | − | 0.0115742i | ||||
\(590\) | 40.0448 | + | 1824.54i | 0.0678725 | + | 3.09244i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −384.095 | − | 736.920i | −0.648809 | − | 1.24480i | ||||
\(593\) | − | 167.545i | − | 0.282538i | −0.989971 | − | 0.141269i | \(-0.954882\pi\) | ||
0.989971 | − | 0.141269i | \(-0.0451182\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −146.544 | − | 60.7006i | −0.246293 | − | 0.102018i | ||||
\(596\) | 184.057 | + | 394.448i | 0.308820 | + | 0.661825i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 62.8115 | − | 161.581i | 0.105036 | − | 0.270202i | ||||
\(599\) | 316.998 | − | 316.998i | 0.529213 | − | 0.529213i | −0.391125 | − | 0.920338i | \(-0.627914\pi\) |
0.920338 | + | 0.391125i | \(0.127914\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −224.198 | + | 224.198i | −0.373042 | + | 0.373042i | −0.868584 | − | 0.495542i | \(-0.834970\pi\) |
0.495542 | + | 0.868584i | \(0.334970\pi\) | |||||||
\(602\) | 2.54715 | − | 1.12116i | 0.00423114 | − | 0.00186239i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −561.948 | − | 514.666i | −0.930377 | − | 0.852096i | ||||
\(605\) | −1023.00 | − | 423.742i | −1.69091 | − | 0.700400i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 89.2468i | − | 0.147029i | −0.997294 | − | 0.0735146i | \(-0.976578\pi\) | ||
0.997294 | − | 0.0735146i | \(-0.0234216\pi\) | |||||||
\(608\) | 27.6459 | + | 50.3157i | 0.0454703 | + | 0.0827560i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 174.842 | − | 182.689i | 0.286626 | − | 0.299490i | ||||
\(611\) | 111.092 | − | 268.200i | 0.181820 | − | 0.438952i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 202.134 | + | 487.995i | 0.329746 | + | 0.796076i | 0.998611 | + | 0.0526926i | \(0.0167803\pi\) |
−0.668865 | + | 0.743384i | \(0.733220\pi\) | |||||||
\(614\) | −46.5975 | − | 105.864i | −0.0758918 | − | 0.172417i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 293.295 | + | 594.169i | 0.476128 | + | 0.964560i | ||||
\(617\) | −380.984 | − | 380.984i | −0.617479 | − | 0.617479i | 0.327405 | − | 0.944884i | \(-0.393826\pi\) |
−0.944884 | + | 0.327405i | \(0.893826\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −371.320 | − | 896.447i | −0.599871 | − | 1.44822i | −0.873712 | − | 0.486443i | \(-0.838294\pi\) |
0.273841 | − | 0.961775i | \(-0.411706\pi\) | |||||||
\(620\) | −57.8478 | − | 123.972i | −0.0933029 | − | 0.199955i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −776.259 | + | 17.0373i | −1.24800 | + | 0.0273911i | ||||
\(623\) | −532.098 | −0.854090 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 220.337i | − | 0.352539i | ||||||
\(626\) | −221.699 | + | 4.86583i | −0.354152 | + | 0.00777289i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 82.9407 | − | 228.059i | 0.132071 | − | 0.363151i | ||||
\(629\) | −176.177 | + | 72.9747i | −0.280090 | + | 0.116017i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 384.726 | − | 384.726i | 0.609708 | − | 0.609708i | −0.333162 | − | 0.942870i | \(-0.608115\pi\) |
0.942870 | + | 0.333162i | \(0.108115\pi\) | |||||||
\(632\) | −14.5813 | + | 16.6397i | −0.0230717 | + | 0.0263286i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 119.061 | + | 270.492i | 0.187793 | + | 0.426643i | ||||
\(635\) | 733.706 | − | 303.911i | 1.15544 | − | 0.478600i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −149.872 | − | 62.0789i | −0.235277 | − | 0.0974551i | ||||
\(638\) | 927.266 | − | 968.882i | 1.45339 | − | 1.51862i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1034.11 | + | 252.065i | 1.61580 | + | 0.393851i | ||||
\(641\) | 407.931 | 0.636398 | 0.318199 | − | 0.948024i | \(-0.396922\pi\) | ||||
0.318199 | + | 0.948024i | \(0.396922\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −319.302 | + | 770.863i | −0.496582 | + | 1.19885i | 0.454732 | + | 0.890629i | \(0.349735\pi\) |
−0.951313 | + | 0.308226i | \(0.900265\pi\) | |||||||
\(644\) | 10.7222 | + | 244.148i | 0.0166494 | + | 0.379111i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.0576 | − | 5.30732i | 0.0186650 | − | 0.00821566i | ||||
\(647\) | 48.6565 | + | 48.6565i | 0.0752033 | + | 0.0752033i | 0.743708 | − | 0.668505i | \(-0.233065\pi\) |
−0.668505 | + | 0.743708i | \(0.733065\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1237.02 | − | 1237.02i | −1.90604 | − | 1.90604i | ||||
\(650\) | −235.807 | + | 606.606i | −0.362780 | + | 0.933239i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 842.445 | + | 306.381i | 1.29209 | + | 0.469910i | ||||
\(653\) | 290.106 | − | 700.378i | 0.444267 | − | 1.07255i | −0.530170 | − | 0.847892i | \(-0.677872\pi\) |
0.974436 | − | 0.224663i | \(-0.0721282\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1458.46 | 2.22665 | ||||||||
\(656\) | 366.220 | + | 306.977i | 0.558263 | + | 0.467952i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.97953 | + | 409.129i | 0.0136467 | + | 0.621777i | ||||
\(659\) | −818.045 | − | 338.845i | −1.24134 | − | 0.514181i | −0.337209 | − | 0.941430i | \(-0.609483\pi\) |
−0.904134 | + | 0.427248i | \(0.859483\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −35.2123 | + | 14.5854i | −0.0532712 | + | 0.0220657i | −0.409160 | − | 0.912463i | \(-0.634178\pi\) |
0.355889 | + | 0.934528i | \(0.384178\pi\) | |||||||
\(662\) | −272.087 | + | 699.936i | −0.411008 | + | 1.05730i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −614.940 | + | 303.548i | −0.926115 | + | 0.457151i | ||||
\(665\) | 54.8067 | − | 54.8067i | 0.0824161 | − | 0.0824161i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 456.969 | − | 189.283i | 0.685110 | − | 0.283782i | ||||
\(668\) | 277.530 | − | 303.026i | 0.415464 | − | 0.453632i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 115.368 | + | 110.412i | 0.172191 | + | 0.164795i | ||||
\(671\) | 242.402i | 0.361256i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 114.199 | 0.169687 | 0.0848434 | − | 0.996394i | \(-0.472961\pi\) | ||||
0.0848434 | + | 0.996394i | \(0.472961\pi\) | |||||||
\(674\) | 662.569 | − | 692.305i | 0.983039 | − | 1.02716i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −309.789 | + | 338.249i | −0.458268 | + | 0.500369i | ||||
\(677\) | 212.733 | + | 513.583i | 0.314229 | + | 0.758617i | 0.999539 | + | 0.0303647i | \(0.00966689\pi\) |
−0.685310 | + | 0.728252i | \(0.740333\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 242.652 | + | 242.652i | 0.357366 | + | 0.357366i | ||||
\(680\) | 78.4212 | − | 231.313i | 0.115325 | − | 0.340166i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 122.229 | + | 47.5144i | 0.179222 | + | 0.0696693i | ||||
\(683\) | −363.453 | − | 877.454i | −0.532142 | − | 1.28471i | −0.930102 | − | 0.367302i | \(-0.880281\pi\) |
0.397959 | − | 0.917403i | \(-0.369719\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 399.289 | − | 963.969i | 0.582904 | − | 1.40725i | ||||
\(686\) | 737.650 | − | 16.1899i | 1.07529 | − | 0.0236004i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.98067 | + | 3.80010i | 0.00287889 | + | 0.00552340i | ||||
\(689\) | 180.432i | 0.261875i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −682.306 | − | 282.620i | −0.987418 | − | 0.409002i | −0.170249 | − | 0.985401i | \(-0.554457\pi\) |
−0.817168 | + | 0.576399i | \(0.804457\pi\) | |||||||
\(692\) | 39.8306 | + | 14.4856i | 0.0575586 | + | 0.0209330i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −347.336 | − | 135.021i | −0.500485 | − | 0.194554i | ||||
\(695\) | 425.364 | − | 425.364i | 0.612034 | − | 0.612034i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 77.5377 | − | 77.5377i | 0.111245 | − | 0.111245i | ||||
\(698\) | 338.485 | + | 768.998i | 0.484935 | + | 1.10172i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −40.2533 | − | 916.578i | −0.0575047 | − | 1.30940i | ||||
\(701\) | 565.621 | + | 234.288i | 0.806878 | + | 0.334220i | 0.747708 | − | 0.664028i | \(-0.231154\pi\) |
0.0591703 | + | 0.998248i | \(0.481154\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 93.1812i | − | 0.132548i | ||||||
\(704\) | −883.225 | + | 510.833i | −1.25458 | + | 0.725616i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 239.785 | + | 229.486i | 0.339639 | + | 0.325051i | ||||
\(707\) | −39.0267 | + | 94.2188i | −0.0552004 | + | 0.133266i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 447.695 | + | 1080.83i | 0.631446 | + | 1.52444i | 0.837806 | + | 0.545968i | \(0.183838\pi\) |
−0.206360 | + | 0.978476i | \(0.566162\pi\) | |||||||
\(710\) | 1631.11 | − | 717.954i | 2.29734 | − | 1.01120i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −53.9007 | − | 817.564i | −0.0757032 | − | 1.14826i | ||||
\(713\) | 34.2002 | + | 34.2002i | 0.0479666 | + | 0.0479666i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −373.945 | − | 902.783i | −0.523000 | − | 1.26263i | ||||
\(716\) | 316.885 | − | 871.328i | 0.442577 | − | 1.21694i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.26658 | − | 285.521i | −0.00872783 | − | 0.397661i | ||||
\(719\) | −122.001 | −0.169681 | −0.0848406 | − | 0.996395i | \(-0.527038\pi\) | ||||
−0.0848406 | + | 0.996395i | \(0.527038\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.32894i | 0.00600408i | ||||||||
\(722\) | −15.7013 | − | 715.390i | −0.0217470 | − | 0.990845i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −179.803 | − | 385.332i | −0.248347 | − | 0.532227i | ||||
\(725\) | −1715.55 | + | 710.604i | −2.36628 | + | 0.980144i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 438.189 | − | 438.189i | 0.602736 | − | 0.602736i | −0.338301 | − | 0.941038i | \(-0.609852\pi\) |
0.941038 | + | 0.338301i | \(0.109852\pi\) | |||||||
\(728\) | −98.3654 | + | 290.140i | −0.135117 | + | 0.398545i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 625.091 | − | 275.142i | 0.856289 | − | 0.376907i | ||||
\(731\) | 0.908495 | − | 0.376311i | 0.00124281 | − | 0.000514789i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −629.241 | − | 260.640i | −0.858446 | − | 0.355580i | −0.0903463 | − | 0.995910i | \(-0.528797\pi\) |
−0.768099 | + | 0.640331i | \(0.778797\pi\) | |||||||
\(734\) | −942.018 | − | 901.555i | −1.28340 | − | 1.22828i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −374.044 | + | 41.2063i | −0.508212 | + | 0.0559869i | ||||
\(737\) | −153.077 | −0.207703 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 55.5902 | − | 134.207i | 0.0752235 | − | 0.181606i | −0.881795 | − | 0.471633i | \(-0.843665\pi\) |
0.957018 | + | 0.290028i | \(0.0936646\pi\) | |||||||
\(740\) | −1274.00 | − | 1166.81i | −1.72162 | − | 1.57676i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −102.469 | − | 232.799i | −0.138099 | − | 0.313745i | ||||
\(743\) | 180.295 | + | 180.295i | 0.242658 | + | 0.242658i | 0.817949 | − | 0.575291i | \(-0.195111\pi\) |
−0.575291 | + | 0.817949i | \(0.695111\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 639.853 | + | 639.853i | 0.858863 | + | 0.858863i | ||||
\(746\) | 1222.56 | + | 475.248i | 1.63882 | + | 0.637062i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 99.0022 | + | 212.169i | 0.132356 | + | 0.283649i | ||||
\(749\) | −288.119 | + | 695.581i | −0.384672 | + | 0.928680i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −264.213 | −0.351815 | −0.175908 | − | 0.984407i | \(-0.556286\pi\) | ||||
−0.175908 | + | 0.984407i | \(0.556286\pi\) | |||||||
\(752\) | −627.714 | + | 55.2411i | −0.834726 | + | 0.0734589i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 619.911 | − | 13.6057i | 0.822163 | − | 0.0180448i | ||||
\(755\) | −1463.55 | − | 606.223i | −1.93848 | − | 0.802945i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −691.098 | + | 286.262i | −0.912944 | + | 0.378154i | −0.789183 | − | 0.614158i | \(-0.789496\pi\) |
−0.123761 | + | 0.992312i | \(0.539496\pi\) | |||||||
\(758\) | −870.819 | − | 338.515i | −1.14884 | − | 0.446590i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 89.7619 | + | 78.6582i | 0.118108 | + | 0.103498i | ||||
\(761\) | −287.342 | + | 287.342i | −0.377585 | + | 0.377585i | −0.870230 | − | 0.492645i | \(-0.836030\pi\) |
0.492645 | + | 0.870230i | \(0.336030\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 368.777 | − | 152.752i | 0.483325 | − | 0.200200i | ||||
\(764\) | 726.667 | − | 31.9130i | 0.951135 | − | 0.0417710i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 807.561 | − | 843.805i | 1.05426 | − | 1.10157i | ||||
\(767\) | − | 808.842i | − | 1.05455i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1240.31 | −1.61289 | −0.806446 | − | 0.591308i | \(-0.798612\pi\) | ||||
−0.806446 | + | 0.591308i | \(0.798612\pi\) | |||||||
\(770\) | 995.176 | + | 952.430i | 1.29244 | + | 1.23692i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −38.8321 | − | 884.215i | −0.0503006 | − | 1.14536i | ||||
\(773\) | 318.633 | + | 769.248i | 0.412203 | + | 0.995146i | 0.984545 | + | 0.175131i | \(0.0560350\pi\) |
−0.572342 | + | 0.820015i | \(0.693965\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −128.394 | − | 128.394i | −0.165670 | − | 0.165670i | ||||
\(776\) | −348.252 | + | 397.413i | −0.448778 | + | 0.512130i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −109.651 | + | 282.074i | −0.140940 | + | 0.362563i | ||||
\(779\) | 20.5052 | + | 49.5039i | 0.0263224 | + | 0.0635480i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −653.751 | + | 1578.29i | −0.837069 | + | 2.02086i | ||||
\(782\) | 1.89477 | + | 86.3304i | 0.00242298 | + | 0.110397i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 30.8691 | + | 350.771i | 0.0393739 | + | 0.447412i | ||||
\(785\) | − | 504.487i | − | 0.642659i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 584.664 | + | 242.176i | 0.742902 | + | 0.307720i | 0.721842 | − | 0.692058i | \(-0.243296\pi\) |
0.0210600 | + | 0.999778i | \(0.493296\pi\) | |||||||
\(788\) | −146.211 | + | 68.2249i | −0.185547 | + | 0.0865798i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −16.6646 | + | 42.8691i | −0.0210944 | + | 0.0542647i | ||||
\(791\) | −493.280 | + | 493.280i | −0.623616 | + | 0.623616i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −79.2491 | + | 79.2491i | −0.0999358 | + | 0.0999358i | ||||
\(794\) | 1035.52 | − | 455.796i | 1.30418 | − | 0.574050i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 518.149 | − | 565.751i | 0.650941 | − | 0.710742i | ||||
\(797\) | 651.965 | + | 270.053i | 0.818024 | + | 0.338837i | 0.752150 | − | 0.658991i | \(-0.229017\pi\) |
0.0658733 | + | 0.997828i | \(0.479017\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 144.598i | 0.180974i | ||||||||
\(800\) | 1404.24 | − | 154.697i | 1.75530 | − | 0.193371i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −375.995 | + | 392.870i | −0.468822 | + | 0.489863i | ||||
\(803\) | −250.537 | + | 604.850i | −0.312002 | + | 0.753238i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 194.419 | + | 469.370i | 0.241515 | + | 0.583068i | ||||
\(806\) | 24.4267 | + | 55.4947i | 0.0303061 | + | 0.0688520i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −148.720 | − | 50.4200i | −0.184059 | − | 0.0624009i | ||||
\(809\) | 734.385 | + | 734.385i | 0.907769 | + | 0.907769i | 0.996092 | − | 0.0883227i | \(-0.0281507\pi\) |
−0.0883227 | + | 0.996092i | \(0.528151\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 430.173 | + | 1038.53i | 0.530423 | + | 1.28055i | 0.931243 | + | 0.364398i | \(0.118725\pi\) |
−0.400820 | + | 0.916157i | \(0.631275\pi\) | |||||||
\(812\) | −792.101 | + | 369.609i | −0.975494 | + | 0.455184i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1655.64 | − | 36.3378i | 2.03395 | − | 0.0446410i | ||||
\(815\) | 1863.57 | 2.28658 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.480510i | 0.000588140i | ||||||||
\(818\) | −513.866 | + | 11.2783i | −0.628199 | + | 0.0137876i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 933.594 | + | 339.530i | 1.13853 | + | 0.414061i | ||||
\(821\) | −30.8969 | + | 12.7979i | −0.0376333 | + | 0.0155882i | −0.401421 | − | 0.915894i | \(-0.631483\pi\) |
0.363787 | + | 0.931482i | \(0.381483\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 581.324 | − | 581.324i | 0.706348 | − | 0.706348i | −0.259417 | − | 0.965765i | \(-0.583530\pi\) |
0.965765 | + | 0.259417i | \(0.0835305\pi\) | |||||||
\(824\) | −6.65138 | + | 0.438515i | −0.00807206 | + | 0.000532178i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 459.351 | + | 1043.59i | 0.556115 | + | 1.26343i | ||||
\(827\) | −625.862 | + | 259.241i | −0.756786 | + | 0.313471i | −0.727507 | − | 0.686100i | \(-0.759321\pi\) |
−0.0292791 | + | 0.999571i | \(0.509321\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1209.84 | + | 501.131i | 1.45939 | + | 0.604500i | 0.964412 | − | 0.264403i | \(-0.0851750\pi\) |
0.494981 | + | 0.868904i | \(0.335175\pi\) | |||||||
\(830\) | −985.726 | + | 1029.97i | −1.18762 | + | 1.24092i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −455.762 | − | 121.747i | −0.547791 | − | 0.146330i | ||||
\(833\) | 80.8024 | 0.0970017 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 326.901 | − | 789.210i | 0.391499 | − | 0.945162i | ||||
\(836\) | −114.297 | + | 5.01959i | −0.136719 | + | 0.00600430i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 404.415 | − | 178.008i | 0.482595 | − | 0.212421i | ||||
\(839\) | 92.2651 | + | 92.2651i | 0.109970 | + | 0.109970i | 0.759951 | − | 0.649981i | \(-0.225223\pi\) |
−0.649981 | + | 0.759951i | \(0.725223\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 656.279 | + | 656.279i | 0.780355 | + | 0.780355i | ||||
\(842\) | −24.8848 | + | 64.0152i | −0.0295543 | + | 0.0760276i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −204.229 | + | 561.562i | −0.241978 | + | 0.665358i | ||||
\(845\) | −364.900 | + | 880.946i | −0.431834 | + | 1.04254i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −691.816 | −0.816784 | ||||||||
\(848\) | 347.313 | − | 181.025i | 0.409567 | − | 0.213473i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.11334 | − | 324.101i | −0.00836864 | − | 0.381296i | ||||
\(851\) | 564.280 | + | 233.733i | 0.663079 | + | 0.274656i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 404.566 | − | 167.577i | 0.474286 | − | 0.196456i | −0.132719 | − | 0.991154i | \(-0.542371\pi\) |
0.607005 | + | 0.794698i | \(0.292371\pi\) | |||||||
\(854\) | 57.2431 | − | 147.256i | 0.0670294 | − | 0.172431i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1097.94 | − | 372.231i | −1.28264 | − | 0.434850i | ||||
\(857\) | 870.817 | − | 870.817i | 1.01612 | − | 1.01612i | 0.0162551 | − | 0.999868i | \(-0.494826\pi\) |
0.999868 | − | 0.0162551i | \(-0.00517439\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1000.98 | + | 414.619i | −1.16528 | + | 0.482677i | −0.879631 | − | 0.475657i | \(-0.842211\pi\) |
−0.285653 | + | 0.958333i | \(0.592211\pi\) | |||||||
\(860\) | 6.56967 | + | 6.01690i | 0.00763915 | + | 0.00699640i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −26.7075 | − | 25.5603i | −0.0309832 | − | 0.0296524i | ||||
\(863\) | 130.559i | 0.151285i | 0.997135 | + | 0.0756423i | \(0.0241007\pi\) | ||||
−0.997135 | + | 0.0756423i | \(0.975899\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 88.1088 | 0.101860 | ||||||||
\(866\) | −512.062 | + | 535.044i | −0.591296 | + | 0.617834i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −63.0322 | − | 57.7287i | −0.0726177 | − | 0.0665077i | ||||
\(869\) | −16.8724 | − | 40.7336i | −0.0194159 | − | 0.0468741i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −50.0457 | − | 50.0457i | −0.0574577 | − | 0.0574577i | ||||
\(872\) | 272.059 | + | 551.149i | 0.311994 | + | 0.632051i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −39.3283 | − | 15.2881i | −0.0449980 | − | 0.0174922i | ||||
\(875\) | −316.568 | − | 764.264i | −0.361792 | − | 0.873444i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −251.771 | + | 607.829i | −0.287082 | + | 0.693077i | −0.999966 | − | 0.00820433i | \(-0.997388\pi\) |
0.712884 | + | 0.701282i | \(0.247388\pi\) | |||||||
\(878\) | −4.15985 | + | 0.0912999i | −0.00473787 | + | 0.000103986i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1362.59 | + | 1625.56i | −1.54840 | + | 1.84723i | ||||
\(881\) | − | 349.331i | − | 0.396516i | −0.980150 | − | 0.198258i | \(-0.936472\pi\) | ||
0.980150 | − | 0.198258i | \(-0.0635284\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1394.24 | − | 577.514i | −1.57898 | − | 0.654036i | −0.590731 | − | 0.806869i | \(-0.701161\pi\) |
−0.988252 | + | 0.152832i | \(0.951161\pi\) | |||||||
\(884\) | −36.9980 | + | 101.732i | −0.0418529 | + | 0.115081i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −31.2683 | − | 12.1550i | −0.0352916 | − | 0.0137189i | ||||
\(887\) | 980.070 | − | 980.070i | 1.10493 | − | 1.10493i | 0.111120 | − | 0.993807i | \(-0.464556\pi\) |
0.993807 | − | 0.111120i | \(-0.0354439\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 350.849 | − | 350.849i | 0.394656 | − | 0.394656i | ||||
\(890\) | −686.200 | − | 1558.97i | −0.771012 | − | 1.75165i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 122.373 | − | 5.37426i | 0.137190 | − | 0.00602495i | ||||
\(893\) | −65.2790 | − | 27.0395i | −0.0731008 | − | 0.0302793i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 1927.46i | − | 2.15358i | ||||||
\(896\) | 657.180 | − | 101.751i | 0.733459 | − | 0.113562i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 505.203 | + | 483.503i | 0.562587 | + | 0.538422i | ||||
\(899\) | −66.2018 | + | 159.825i | −0.0736393 | + | 0.177781i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −34.3933 | − | 83.0327i | −0.0381723 | − | 0.0921561i | ||||
\(902\) | −871.586 | + | 383.640i | −0.966282 | + | 0.425321i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −807.889 | − | 707.952i | −0.893683 | − | 0.783133i | ||||
\(905\) | −625.066 | − | 625.066i | −0.690681 | − | 0.690681i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 64.9162 | + | 156.722i | 0.0715725 | + | 0.172791i | 0.955617 | − | 0.294611i | \(-0.0951900\pi\) |
−0.884045 | + | 0.467402i | \(0.845190\pi\) | |||||||
\(908\) | −82.6287 | − | 30.0505i | −0.0910007 | − | 0.0330952i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 13.9750 | + | 636.735i | 0.0153571 | + | 0.699709i | ||||
\(911\) | 989.468 | 1.08613 | 0.543067 | − | 0.839689i | \(-0.317263\pi\) | ||||
0.543067 | + | 0.839689i | \(0.317263\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 1366.62i | − | 1.49684i | ||||||
\(914\) | 10.3919 | + | 473.482i | 0.0113697 | + | 0.518033i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −726.063 | + | 338.795i | −0.792645 | + | 0.369863i | ||||
\(917\) | 841.857 | − | 348.708i | 0.918055 | − | 0.380271i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 594.043 | − | 594.043i | 0.646402 | − | 0.646402i | −0.305720 | − | 0.952122i | \(-0.598897\pi\) |
0.952122 | + | 0.305720i | \(0.0988970\pi\) | |||||||
\(920\) | −701.488 | + | 346.270i | −0.762487 | + | 0.376381i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1434.36 | + | 631.353i | −1.55571 | + | 0.684764i | ||||
\(923\) | −729.727 | + | 302.263i | −0.790603 | + | 0.327478i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2118.42 | − | 877.478i | −2.29018 | − | 0.948625i | ||||
\(926\) | −101.791 | − | 97.4191i | −0.109926 | − | 0.105204i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −648.140 | − | 1179.62i | −0.698427 | − | 1.27114i | ||||
\(929\) | −1637.29 | −1.76242 | −0.881209 | − | 0.472726i | \(-0.843270\pi\) | ||||
−0.881209 | + | 0.472726i | \(0.843270\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.1098 | + | 36.4784i | −0.0162297 | + | 0.0391819i | ||||
\(932\) | −487.356 | + | 532.129i | −0.522914 | + | 0.570954i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 78.3498 | + | 178.002i | 0.0838863 | + | 0.190580i | ||||
\(935\) | 344.170 | + | 344.170i | 0.368096 | + | 0.368096i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −407.126 | − | 407.126i | −0.434500 | − | 0.434500i | 0.455656 | − | 0.890156i | \(-0.349405\pi\) |
−0.890156 | + | 0.455656i | \(0.849405\pi\) | |||||||
\(938\) | 92.9920 | + | 36.1489i | 0.0991386 | + | 0.0385383i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1187.11 | + | 553.927i | −1.26288 | + | 0.589284i | ||||
\(941\) | −510.935 | + | 1233.51i | −0.542970 | + | 1.31085i | 0.379648 | + | 0.925131i | \(0.376045\pi\) |
−0.922618 | + | 0.385715i | \(0.873955\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −351.217 | −0.372446 | ||||||||
\(944\) | −1556.94 | + | 811.503i | −1.64930 | + | 0.859643i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.53768 | + | 0.187384i | −0.00902503 | + | 0.000198081i | ||||
\(947\) | 627.458 | + | 259.902i | 0.662574 | + | 0.274447i | 0.688521 | − | 0.725216i | \(-0.258260\pi\) |
−0.0259471 | + | 0.999663i | \(0.508260\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −279.654 | + | 115.836i | −0.294682 | + | 0.122061i | ||||
\(950\) | 147.646 | + | 57.3947i | 0.155417 | + | 0.0604155i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.0389 | − | 152.269i | −0.0105450 | − | 0.159947i | ||||
\(953\) | 1189.93 | − | 1189.93i | 1.24862 | − | 1.24862i | 0.292290 | − | 0.956330i | \(-0.405583\pi\) |
0.956330 | − | 0.292290i | \(-0.0944171\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1397.01 | − | 578.660i | 1.46284 | − | 0.605926i | ||||
\(956\) | −69.7153 | − | 1587.43i | −0.0729239 | − | 1.66050i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1245.31 | + | 1301.20i | −1.29991 | + | 1.35825i | ||||
\(959\) | − | 651.893i | − | 0.679764i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 944.084 | 0.982397 | ||||||||
\(962\) | 553.161 | + | 529.401i | 0.575012 | + | 0.550313i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1602.97 | − | 70.3975i | 1.66283 | − | 0.0730264i | ||||
\(965\) | −704.118 | − | 1699.89i | −0.729656 | − | 1.76155i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 633.832 | + | 633.832i | 0.655462 | + | 0.655462i | 0.954303 | − | 0.298841i | \(-0.0965999\pi\) |
−0.298841 | + | 0.954303i | \(0.596600\pi\) | |||||||
\(968\) | −70.0798 | − | 1062.97i | −0.0723965 | − | 1.09811i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −398.007 | + | 1023.86i | −0.410317 | + | 1.05553i | ||||
\(971\) | 399.517 | + | 964.518i | 0.411449 | + | 0.993325i | 0.984749 | + | 0.173980i | \(0.0556627\pi\) |
−0.573301 | + | 0.819345i | \(0.694337\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 143.828 | − | 347.232i | 0.147819 | − | 0.356867i | ||||
\(974\) | −10.8900 | − | 496.174i | −0.0111807 | − | 0.509419i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 232.056 | + | 73.0367i | 0.237762 | + | 0.0748327i | ||||
\(977\) | 122.057i | 0.124931i | 0.998047 | + | 0.0624653i | \(0.0198963\pi\) | ||||
−0.998047 | + | 0.0624653i | \(0.980104\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1508.49 | + | 624.837i | 1.54085 | + | 0.638240i | ||||
\(980\) | 309.538 | + | 663.364i | 0.315855 | + | 0.676902i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −212.061 | + | 545.521i | −0.215948 | + | 0.555521i | ||||
\(983\) | −1257.94 | + | 1257.94i | −1.27970 | + | 1.27970i | −0.338864 | + | 0.940835i | \(0.610043\pi\) |
−0.940835 | + | 0.338864i | \(0.889957\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −237.176 | + | 237.176i | −0.240788 | + | 0.240788i | ||||
\(986\) | −282.682 | + | 124.426i | −0.286696 | + | 0.126193i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −39.0085 | − | 35.7264i | −0.0394823 | − | 0.0361603i | ||||
\(989\) | −2.90984 | − | 1.20530i | −0.00294220 | − | 0.00121870i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1409.81i | 1.42261i | 0.702884 | + | 0.711304i | \(0.251895\pi\) | ||||
−0.702884 | + | 0.711304i | \(0.748105\pi\) | |||||||
\(992\) | 82.3146 | − | 102.696i | 0.0829784 | − | 0.103524i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 769.857 | − | 804.409i | 0.774504 | − | 0.809264i | ||||
\(995\) | 610.326 | − | 1473.46i | 0.613393 | − | 1.48086i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −60.9825 | − | 147.225i | −0.0611660 | − | 0.147668i | 0.890341 | − | 0.455293i | \(-0.150466\pi\) |
−0.951508 | + | 0.307625i | \(0.900466\pi\) | |||||||
\(998\) | 84.0828 | + | 191.027i | 0.0842513 | + | 0.191409i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 288.3.u.a.163.5 | 28 | ||
3.2 | odd | 2 | 32.3.h.a.3.3 | ✓ | 28 | ||
12.11 | even | 2 | 128.3.h.a.47.2 | 28 | |||
24.5 | odd | 2 | 256.3.h.b.95.2 | 28 | |||
24.11 | even | 2 | 256.3.h.a.95.6 | 28 | |||
32.11 | odd | 8 | inner | 288.3.u.a.235.5 | 28 | ||
96.5 | odd | 8 | 256.3.h.a.159.6 | 28 | |||
96.11 | even | 8 | 32.3.h.a.11.3 | yes | 28 | ||
96.53 | odd | 8 | 128.3.h.a.79.2 | 28 | |||
96.59 | even | 8 | 256.3.h.b.159.2 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.3.h.a.3.3 | ✓ | 28 | 3.2 | odd | 2 | ||
32.3.h.a.11.3 | yes | 28 | 96.11 | even | 8 | ||
128.3.h.a.47.2 | 28 | 12.11 | even | 2 | |||
128.3.h.a.79.2 | 28 | 96.53 | odd | 8 | |||
256.3.h.a.95.6 | 28 | 24.11 | even | 2 | |||
256.3.h.a.159.6 | 28 | 96.5 | odd | 8 | |||
256.3.h.b.95.2 | 28 | 24.5 | odd | 2 | |||
256.3.h.b.159.2 | 28 | 96.59 | even | 8 | |||
288.3.u.a.163.5 | 28 | 1.1 | even | 1 | trivial | ||
288.3.u.a.235.5 | 28 | 32.11 | odd | 8 | inner |