Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Character | \(\chi\) | \(=\) | 162.71 |
Dual form | 162.3.f.a.89.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39273 | + | 0.245576i | −0.696364 | + | 0.122788i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | − | 0.684040i | 0.469846 | − | 0.171010i | ||||
\(5\) | −1.85971 | + | 2.21631i | −0.371942 | + | 0.443263i | −0.919254 | − | 0.393666i | \(-0.871207\pi\) |
0.547312 | + | 0.836929i | \(0.315651\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.17427 | + | 0.791369i | 0.310610 | + | 0.113053i | 0.492622 | − | 0.870244i | \(-0.336039\pi\) |
−0.182012 | + | 0.983296i | \(0.558261\pi\) | |||||||
\(8\) | −2.44949 | + | 1.41421i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.04580 | − | 3.54342i | 0.204580 | − | 0.354342i | ||||
\(11\) | 0.401092 | + | 0.478003i | 0.0364629 | + | 0.0434548i | 0.783968 | − | 0.620802i | \(-0.213193\pi\) |
−0.747505 | + | 0.664256i | \(0.768748\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.06850 | + | 23.0736i | −0.312961 | + | 1.77489i | 0.270469 | + | 0.962729i | \(0.412821\pi\) |
−0.583430 | + | 0.812163i | \(0.698290\pi\) | |||||||
\(14\) | −3.22251 | − | 0.568215i | −0.230179 | − | 0.0405868i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | − | 2.57115i | 0.191511 | − | 0.160697i | ||||
\(17\) | −2.71755 | − | 1.56898i | −0.159856 | − | 0.0922928i | 0.417938 | − | 0.908476i | \(-0.362753\pi\) |
−0.577794 | + | 0.816183i | \(0.696086\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.04119 | + | 3.53544i | 0.107431 | + | 0.186076i | 0.914729 | − | 0.404068i | \(-0.132404\pi\) |
−0.807298 | + | 0.590144i | \(0.799071\pi\) | |||||||
\(20\) | −1.97906 | + | 5.43742i | −0.0989530 | + | 0.271871i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.675999 | − | 0.567230i | −0.0307272 | − | 0.0257832i | ||||
\(23\) | 15.5068 | + | 42.6045i | 0.674208 | + | 1.85237i | 0.495857 | + | 0.868404i | \(0.334854\pi\) |
0.178351 | + | 0.983967i | \(0.442924\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.88767 | + | 16.3768i | 0.115507 | + | 0.655072i | ||||
\(26\) | − | 33.1344i | − | 1.27440i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.62762 | 0.165272 | ||||||||
\(29\) | −19.6570 | + | 3.46606i | −0.677828 | + | 0.119519i | −0.501955 | − | 0.864894i | \(-0.667386\pi\) |
−0.175873 | + | 0.984413i | \(0.556275\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −42.6238 | + | 15.5138i | −1.37496 | + | 0.500445i | −0.920647 | − | 0.390395i | \(-0.872338\pi\) |
−0.454315 | + | 0.890841i | \(0.650116\pi\) | |||||||
\(32\) | −3.63616 | + | 4.33340i | −0.113630 | + | 0.135419i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.17011 | + | 1.51780i | 0.122650 | + | 0.0446411i | ||||
\(35\) | −5.79743 | + | 3.34715i | −0.165641 | + | 0.0956328i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 18.7730 | − | 32.5159i | 0.507379 | − | 0.878807i | −0.492584 | − | 0.870265i | \(-0.663948\pi\) |
0.999964 | − | 0.00854213i | \(-0.00271908\pi\) | |||||||
\(38\) | −3.71104 | − | 4.42264i | −0.0976588 | − | 0.116385i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.42100 | − | 8.05886i | 0.0355249 | − | 0.201472i | ||||
\(41\) | 45.6993 | + | 8.05802i | 1.11462 | + | 0.196537i | 0.700477 | − | 0.713675i | \(-0.252971\pi\) |
0.414141 | + | 0.910213i | \(0.364082\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 46.3885 | − | 38.9246i | 1.07880 | − | 0.905222i | 0.0829811 | − | 0.996551i | \(-0.473556\pi\) |
0.995821 | + | 0.0913289i | \(0.0291115\pi\) | |||||||
\(44\) | 1.08078 | + | 0.623989i | 0.0245632 | + | 0.0141816i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −32.0594 | − | 55.5285i | −0.696943 | − | 1.20714i | ||||
\(47\) | −1.06082 | + | 2.91457i | −0.0225706 | + | 0.0620122i | −0.950466 | − | 0.310828i | \(-0.899394\pi\) |
0.927896 | + | 0.372840i | \(0.121616\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −33.4350 | − | 28.0553i | −0.682347 | − | 0.572557i | ||||
\(50\) | −8.04348 | − | 22.0993i | −0.160870 | − | 0.441986i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 8.13700 | + | 46.1472i | 0.156481 | + | 0.887446i | ||||
\(53\) | − | 79.9023i | − | 1.50759i | −0.657109 | − | 0.753795i | \(-0.728221\pi\) | ||
0.657109 | − | 0.753795i | \(-0.271779\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.80532 | −0.0328240 | ||||||||
\(56\) | −6.44501 | + | 1.13643i | −0.115090 | + | 0.0202934i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 26.5257 | − | 9.65457i | 0.457340 | − | 0.166458i | ||||
\(59\) | 41.9763 | − | 50.0254i | 0.711463 | − | 0.847888i | −0.282309 | − | 0.959323i | \(-0.591100\pi\) |
0.993772 | + | 0.111435i | \(0.0355448\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −33.1902 | − | 12.0803i | −0.544102 | − | 0.198037i | 0.0553219 | − | 0.998469i | \(-0.482382\pi\) |
−0.599424 | + | 0.800432i | \(0.704604\pi\) | |||||||
\(62\) | 55.5536 | − | 32.0739i | 0.896026 | − | 0.517321i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −43.5721 | − | 51.9272i | −0.670340 | − | 0.798881i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.92896 | + | 27.9535i | −0.0735666 | + | 0.417217i | 0.925676 | + | 0.378316i | \(0.123497\pi\) |
−0.999243 | + | 0.0389009i | \(0.987614\pi\) | |||||||
\(68\) | −6.18056 | − | 1.08980i | −0.0908907 | − | 0.0160265i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.25227 | − | 6.08537i | 0.103604 | − | 0.0869339i | ||||
\(71\) | 70.7261 | + | 40.8337i | 0.996142 | + | 0.575123i | 0.907105 | − | 0.420905i | \(-0.138287\pi\) |
0.0890378 | + | 0.996028i | \(0.471621\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.6048 | − | 21.8321i | −0.172668 | − | 0.299070i | 0.766684 | − | 0.642025i | \(-0.221905\pi\) |
−0.939352 | + | 0.342955i | \(0.888572\pi\) | |||||||
\(74\) | −18.1606 | + | 49.8960i | −0.245414 | + | 0.674270i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.25456 | + | 5.24820i | 0.0822968 | + | 0.0690552i | ||||
\(77\) | 0.493805 | + | 1.35672i | 0.00641306 | + | 0.0176197i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.5555 | + | 65.5347i | 0.146273 | + | 0.829553i | 0.966337 | + | 0.257281i | \(0.0828267\pi\) |
−0.820064 | + | 0.572272i | \(0.806062\pi\) | |||||||
\(80\) | 11.5728i | 0.144660i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −65.6256 | −0.800312 | ||||||||
\(83\) | −49.1681 | + | 8.66967i | −0.592387 | + | 0.104454i | −0.461802 | − | 0.886983i | \(-0.652797\pi\) |
−0.130585 | + | 0.991437i | \(0.541686\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.53120 | − | 3.10510i | 0.100367 | − | 0.0365306i | ||||
\(86\) | −55.0476 | + | 65.6032i | −0.640089 | + | 0.762828i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.65847 | − | 0.603634i | −0.0188463 | − | 0.00685947i | ||||
\(89\) | −111.133 | + | 64.1626i | −1.24868 | + | 0.720928i | −0.970847 | − | 0.239700i | \(-0.922951\pi\) |
−0.277838 | + | 0.960628i | \(0.589618\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −27.1057 | + | 46.9485i | −0.297865 | + | 0.515918i | ||||
\(92\) | 58.2864 | + | 69.4631i | 0.633548 | + | 0.755033i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.761683 | − | 4.31972i | 0.00810301 | − | 0.0459544i | ||||
\(95\) | −11.6317 | − | 2.05097i | −0.122438 | − | 0.0215892i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 107.970 | − | 90.5977i | 1.11309 | − | 0.933997i | 0.114859 | − | 0.993382i | \(-0.463358\pi\) |
0.998235 | + | 0.0593849i | \(0.0189139\pi\) | |||||||
\(98\) | 53.4556 | + | 30.8626i | 0.545465 | + | 0.314924i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 16.6294 | + | 28.8030i | 0.166294 | + | 0.288030i | ||||
\(101\) | 13.5909 | − | 37.3408i | 0.134564 | − | 0.369710i | −0.854049 | − | 0.520192i | \(-0.825860\pi\) |
0.988613 | + | 0.150482i | \(0.0480825\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 35.6457 | + | 29.9103i | 0.346074 | + | 0.290391i | 0.799211 | − | 0.601050i | \(-0.205251\pi\) |
−0.453137 | + | 0.891441i | \(0.649695\pi\) | |||||||
\(104\) | −22.6653 | − | 62.2723i | −0.217935 | − | 0.598772i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.6221 | + | 111.282i | 0.185114 | + | 1.04983i | ||||
\(107\) | 107.937i | 1.00876i | 0.863482 | + | 0.504379i | \(0.168279\pi\) | ||||
−0.863482 | + | 0.504379i | \(0.831721\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 61.3938 | 0.563246 | 0.281623 | − | 0.959525i | \(-0.409127\pi\) | ||||
0.281623 | + | 0.959525i | \(0.409127\pi\) | |||||||
\(110\) | 2.51432 | − | 0.443343i | 0.0228575 | − | 0.00403039i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.69707 | − | 3.16548i | 0.0776525 | − | 0.0282632i | ||||
\(113\) | −26.3026 | + | 31.3463i | −0.232767 | + | 0.277401i | −0.869767 | − | 0.493463i | \(-0.835731\pi\) |
0.637000 | + | 0.770864i | \(0.280175\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −123.263 | − | 44.8641i | −1.07185 | − | 0.390123i | ||||
\(116\) | −34.5722 | + | 19.9603i | −0.298036 | + | 0.172071i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −46.1766 | + | 79.9801i | −0.391327 | + | 0.677798i | ||||
\(119\) | −4.66704 | − | 5.56196i | −0.0392188 | − | 0.0467392i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 20.9438 | − | 118.778i | 0.173089 | − | 0.981639i | ||||
\(122\) | 49.1916 | + | 8.67381i | 0.403210 | + | 0.0710968i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −69.4945 | + | 58.3128i | −0.560440 | + | 0.470265i | ||||
\(125\) | −104.306 | − | 60.2210i | −0.834447 | − | 0.481768i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 106.842 | + | 185.055i | 0.841272 | + | 1.45713i | 0.888820 | + | 0.458256i | \(0.151526\pi\) |
−0.0475484 | + | 0.998869i | \(0.515141\pi\) | |||||||
\(128\) | −3.86952 | + | 10.6314i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 73.4362 | + | 61.6203i | 0.564894 | + | 0.474002i | ||||
\(131\) | 5.01372 | + | 13.7751i | 0.0382727 | + | 0.105153i | 0.957357 | − | 0.288908i | \(-0.0932921\pi\) |
−0.919084 | + | 0.394061i | \(0.871070\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.64025 | + | 9.30232i | 0.0123327 | + | 0.0699423i | ||||
\(134\) | − | 40.1421i | − | 0.299568i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.87548 | 0.0652609 | ||||||||
\(137\) | 133.156 | − | 23.4789i | 0.971938 | − | 0.171379i | 0.334936 | − | 0.942241i | \(-0.391285\pi\) |
0.637002 | + | 0.770862i | \(0.280174\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −70.1461 | + | 25.5311i | −0.504648 | + | 0.183677i | −0.581783 | − | 0.813344i | \(-0.697645\pi\) |
0.0771354 | + | 0.997021i | \(0.475423\pi\) | |||||||
\(140\) | −8.60602 | + | 10.2563i | −0.0614716 | + | 0.0732590i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −108.530 | − | 39.5017i | −0.764296 | − | 0.278181i | ||||
\(143\) | −12.6611 | + | 7.30989i | −0.0885391 | + | 0.0511181i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 28.8744 | − | 50.0120i | 0.199134 | − | 0.344910i | ||||
\(146\) | 22.9164 | + | 27.3107i | 0.156962 | + | 0.187060i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.0396 | − | 73.9513i | 0.0881055 | − | 0.499671i | ||||
\(149\) | −216.356 | − | 38.1494i | −1.45205 | − | 0.256036i | −0.608702 | − | 0.793399i | \(-0.708309\pi\) |
−0.843351 | + | 0.537363i | \(0.819420\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 92.8259 | − | 77.8901i | 0.614741 | − | 0.515829i | −0.281405 | − | 0.959589i | \(-0.590800\pi\) |
0.896145 | + | 0.443760i | \(0.146356\pi\) | |||||||
\(152\) | −9.99973 | − | 5.77335i | −0.0657877 | − | 0.0379825i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.02091 | − | 1.76828i | −0.00662931 | − | 0.0114823i | ||||
\(155\) | 44.8844 | − | 123.319i | 0.289577 | − | 0.795606i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 53.3237 | + | 44.7439i | 0.339641 | + | 0.284993i | 0.796615 | − | 0.604487i | \(-0.206622\pi\) |
−0.456973 | + | 0.889480i | \(0.651066\pi\) | |||||||
\(158\) | −32.1874 | − | 88.4343i | −0.203718 | − | 0.559711i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.84199 | − | 16.1177i | −0.0177624 | − | 0.100736i | ||||
\(161\) | 104.905i | 0.651586i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 67.8167 | 0.416054 | 0.208027 | − | 0.978123i | \(-0.433296\pi\) | ||||
0.208027 | + | 0.978123i | \(0.433296\pi\) | |||||||
\(164\) | 91.3987 | − | 16.1160i | 0.557309 | − | 0.0982686i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 66.3488 | − | 24.1490i | 0.399692 | − | 0.145476i | ||||
\(167\) | 150.446 | − | 179.295i | 0.900875 | − | 1.07362i | −0.0960587 | − | 0.995376i | \(-0.530624\pi\) |
0.996934 | − | 0.0782459i | \(-0.0249319\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −357.030 | − | 129.948i | −2.11260 | − | 0.768925i | ||||
\(170\) | −11.1191 | + | 6.41962i | −0.0654065 | + | 0.0377625i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 60.5559 | − | 104.886i | 0.352069 | − | 0.609801i | ||||
\(173\) | 34.4431 | + | 41.0477i | 0.199093 | + | 0.237270i | 0.856349 | − | 0.516398i | \(-0.172727\pi\) |
−0.657256 | + | 0.753667i | \(0.728283\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.68152 | + | 37.8928i | −0.0381801 | + | 0.216530i | ||||
\(176\) | 2.45804 | + | 0.433418i | 0.0139661 | + | 0.00246260i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 139.021 | − | 116.653i | 0.781018 | − | 0.655352i | ||||
\(179\) | 8.59027 | + | 4.95959i | 0.0479903 | + | 0.0277072i | 0.523803 | − | 0.851839i | \(-0.324513\pi\) |
−0.475813 | + | 0.879547i | \(0.657846\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −54.1558 | − | 93.8006i | −0.299203 | − | 0.518235i | 0.676751 | − | 0.736212i | \(-0.263388\pi\) |
−0.975954 | + | 0.217977i | \(0.930054\pi\) | |||||||
\(182\) | 26.2215 | − | 72.0430i | 0.144074 | − | 0.395841i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −98.2356 | − | 82.4295i | −0.533889 | − | 0.447986i | ||||
\(185\) | 37.1530 | + | 102.077i | 0.200827 | + | 0.551767i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.340012 | − | 1.92830i | −0.00181824 | − | 0.0103118i | ||||
\(188\) | 6.20324i | 0.0329960i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.7034 | 0.0879127 | ||||||||
\(191\) | 153.674 | − | 27.0970i | 0.804578 | − | 0.141869i | 0.243790 | − | 0.969828i | \(-0.421609\pi\) |
0.560788 | + | 0.827959i | \(0.310498\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 247.481 | − | 90.0756i | 1.28228 | − | 0.466713i | 0.391097 | − | 0.920350i | \(-0.372096\pi\) |
0.891187 | + | 0.453636i | \(0.149874\pi\) | |||||||
\(194\) | −128.124 | + | 152.693i | −0.660436 | + | 0.787076i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −82.0282 | − | 29.8558i | −0.418511 | − | 0.152326i | ||||
\(197\) | 124.915 | − | 72.1196i | 0.634085 | − | 0.366089i | −0.148247 | − | 0.988950i | \(-0.547363\pi\) |
0.782332 | + | 0.622861i | \(0.214030\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −133.137 | + | 230.600i | −0.669030 | + | 1.15879i | 0.309146 | + | 0.951015i | \(0.399957\pi\) |
−0.978176 | + | 0.207779i | \(0.933376\pi\) | |||||||
\(200\) | −30.2336 | − | 36.0310i | −0.151168 | − | 0.180155i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.75849 | + | 55.3431i | −0.0483093 | + | 0.273976i | ||||
\(203\) | −45.4826 | − | 8.01980i | −0.224052 | − | 0.0395064i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −102.847 | + | 86.2985i | −0.501690 | + | 0.420968i | ||||
\(206\) | −56.9900 | − | 32.9032i | −0.276650 | − | 0.159724i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 46.8591 | + | 81.1623i | 0.225284 | + | 0.390203i | ||||
\(209\) | −0.871247 | + | 2.39373i | −0.00416864 | + | 0.0114533i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −156.280 | − | 131.134i | −0.740663 | − | 0.621490i | 0.192352 | − | 0.981326i | \(-0.438388\pi\) |
−0.933016 | + | 0.359836i | \(0.882833\pi\) | |||||||
\(212\) | −54.6564 | − | 150.167i | −0.257813 | − | 0.708336i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −26.5067 | − | 150.327i | −0.123863 | − | 0.702463i | ||||
\(215\) | 175.200i | 0.814883i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −104.953 | −0.483654 | ||||||||
\(218\) | −85.5049 | + | 15.0768i | −0.392224 | + | 0.0691597i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.39289 | + | 1.23491i | −0.0154222 | + | 0.00561323i | ||||
\(221\) | 47.2583 | − | 56.3202i | 0.213838 | − | 0.254843i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.9442 | + | 6.16717i | 0.0759828 | + | 0.0276555i | 0.379732 | − | 0.925097i | \(-0.376016\pi\) |
−0.303749 | + | 0.952752i | \(0.598238\pi\) | |||||||
\(224\) | −11.3353 | + | 6.54444i | −0.0506040 | + | 0.0292162i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 28.9346 | − | 50.1161i | 0.128029 | − | 0.221753i | ||||
\(227\) | 69.1464 | + | 82.4054i | 0.304610 | + | 0.363020i | 0.896535 | − | 0.442973i | \(-0.146076\pi\) |
−0.591925 | + | 0.805993i | \(0.701632\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −24.1988 | + | 137.238i | −0.105672 | + | 0.599294i | 0.885278 | + | 0.465062i | \(0.153968\pi\) |
−0.990950 | + | 0.134232i | \(0.957143\pi\) | |||||||
\(230\) | 182.690 | + | 32.2131i | 0.794303 | + | 0.140057i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 43.2479 | − | 36.2893i | 0.186413 | − | 0.156419i | ||||
\(233\) | −56.5488 | − | 32.6485i | −0.242699 | − | 0.140122i | 0.373718 | − | 0.927542i | \(-0.378083\pi\) |
−0.616416 | + | 0.787420i | \(0.711416\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.48680 | − | 7.77136i | −0.0190927 | − | 0.0330696i | ||||
\(236\) | 44.6702 | − | 122.730i | 0.189281 | − | 0.520044i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.86580 | + | 6.60019i | 0.0330496 | + | 0.0277319i | ||||
\(239\) | 27.3384 | + | 75.1116i | 0.114387 | + | 0.314274i | 0.983654 | − | 0.180067i | \(-0.0576315\pi\) |
−0.869268 | + | 0.494341i | \(0.835409\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 42.1583 | + | 239.092i | 0.174931 | + | 0.992082i | 0.938224 | + | 0.346029i | \(0.112470\pi\) |
−0.763293 | + | 0.646053i | \(0.776419\pi\) | |||||||
\(242\) | 170.569i | 0.704831i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −70.6406 | −0.289511 | ||||||||
\(245\) | 124.359 | − | 21.9278i | 0.507587 | − | 0.0895012i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −89.8798 | + | 32.7136i | −0.363886 | + | 0.132444i | ||||
\(248\) | 82.4668 | − | 98.2801i | 0.332528 | − | 0.396291i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 160.058 | + | 58.2565i | 0.640234 | + | 0.233026i | ||||
\(251\) | 110.677 | − | 63.8992i | 0.440943 | − | 0.254579i | −0.263055 | − | 0.964781i | \(-0.584730\pi\) |
0.703998 | + | 0.710202i | \(0.251397\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.1455 | + | 24.5006i | −0.0559109 | + | 0.0968405i | ||||
\(254\) | −194.246 | − | 231.494i | −0.764749 | − | 0.911392i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | − | 15.7569i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −305.230 | − | 53.8203i | −1.18767 | − | 0.209418i | −0.455306 | − | 0.890335i | \(-0.650470\pi\) |
−0.732360 | + | 0.680918i | \(0.761581\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 66.5497 | − | 55.8418i | 0.256949 | − | 0.215605i | ||||
\(260\) | −117.409 | − | 67.7862i | −0.451574 | − | 0.260716i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.3656 | − | 17.9537i | −0.0395633 | − | 0.0685256i | ||||
\(263\) | −128.767 | + | 353.785i | −0.489609 | + | 1.34519i | 0.411427 | + | 0.911443i | \(0.365031\pi\) |
−0.901035 | + | 0.433746i | \(0.857192\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 177.089 | + | 148.595i | 0.668259 | + | 0.560736i | ||||
\(266\) | −4.56885 | − | 12.5528i | −0.0171761 | − | 0.0471910i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.85793 | + | 55.9071i | 0.0367833 | + | 0.208609i | ||||
\(269\) | − | 265.016i | − | 0.985188i | −0.870259 | − | 0.492594i | \(-0.836049\pi\) | ||
0.870259 | − | 0.492594i | \(-0.163951\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 32.4939 | 0.119904 | 0.0599518 | − | 0.998201i | \(-0.480905\pi\) | ||||
0.0599518 | + | 0.998201i | \(0.480905\pi\) | |||||||
\(272\) | −12.3611 | + | 2.17960i | −0.0454453 | + | 0.00801324i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −179.684 | + | 65.3995i | −0.655780 | + | 0.238684i | ||||
\(275\) | −6.66994 | + | 7.94892i | −0.0242543 | + | 0.0289052i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 439.202 | + | 159.857i | 1.58557 | + | 0.577099i | 0.976405 | − | 0.215946i | \(-0.0692836\pi\) |
0.609162 | + | 0.793046i | \(0.291506\pi\) | |||||||
\(278\) | 91.4246 | − | 52.7840i | 0.328866 | − | 0.189871i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.46716 | − | 16.3976i | 0.0338113 | − | 0.0585629i | ||||
\(281\) | 77.3744 | + | 92.2112i | 0.275354 | + | 0.328154i | 0.885943 | − | 0.463793i | \(-0.153512\pi\) |
−0.610590 | + | 0.791947i | \(0.709068\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 55.5870 | − | 315.249i | 0.196420 | − | 1.11396i | −0.713961 | − | 0.700185i | \(-0.753101\pi\) |
0.910382 | − | 0.413770i | \(-0.135788\pi\) | |||||||
\(284\) | 160.854 | + | 28.3628i | 0.566386 | + | 0.0998691i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.8383 | − | 13.2899i | 0.0553788 | − | 0.0464683i | ||||
\(287\) | 92.9857 | + | 53.6853i | 0.323992 | + | 0.187057i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −139.577 | − | 241.754i | −0.482964 | − | 0.836518i | ||||
\(290\) | −27.9325 | + | 76.7440i | −0.0963191 | + | 0.264634i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −38.6232 | − | 32.4087i | −0.132271 | − | 0.110989i | ||||
\(293\) | 128.007 | + | 351.696i | 0.436883 | + | 1.20033i | 0.941509 | + | 0.336988i | \(0.109408\pi\) |
−0.504626 | + | 0.863338i | \(0.668370\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 32.8083 | + | 186.065i | 0.111215 | + | 0.630730i | ||||
\(296\) | 106.196i | 0.358771i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 310.693 | 1.04260 | ||||||||
\(299\) | −1046.13 | + | 184.461i | −3.49876 | + | 0.616926i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 131.665 | − | 47.9220i | 0.437424 | − | 0.159209i | ||||
\(302\) | −110.153 | + | 131.276i | −0.364746 | + | 0.434687i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.3447 | + | 5.58501i | 0.0504760 | + | 0.0183718i | ||||
\(305\) | 88.4978 | − | 51.0942i | 0.290157 | − | 0.167522i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 164.444 | − | 284.826i | 0.535650 | − | 0.927773i | −0.463482 | − | 0.886106i | \(-0.653400\pi\) |
0.999132 | − | 0.0416662i | \(-0.0132666\pi\) | |||||||
\(308\) | 1.85610 | + | 2.21202i | 0.00602630 | + | 0.00718187i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −32.2277 | + | 182.772i | −0.103960 | + | 0.589588i | ||||
\(311\) | 115.437 | + | 20.3546i | 0.371180 | + | 0.0654490i | 0.356127 | − | 0.934438i | \(-0.384097\pi\) |
0.0150531 | + | 0.999887i | \(0.495208\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −286.451 | + | 240.361i | −0.915178 | + | 0.767926i | −0.973097 | − | 0.230396i | \(-0.925998\pi\) |
0.0579189 | + | 0.998321i | \(0.481554\pi\) | |||||||
\(314\) | −85.2535 | − | 49.2211i | −0.271508 | − | 0.156755i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 66.5457 | + | 115.260i | 0.210588 | + | 0.364748i | ||||
\(317\) | −63.7546 | + | 175.164i | −0.201118 | + | 0.552568i | −0.998718 | − | 0.0506189i | \(-0.983881\pi\) |
0.797600 | + | 0.603187i | \(0.206103\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −9.54107 | − | 8.00590i | −0.0299093 | − | 0.0250969i | ||||
\(320\) | 7.91624 | + | 21.7497i | 0.0247383 | + | 0.0679678i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −25.7622 | − | 146.105i | −0.0800068 | − | 0.453741i | ||||
\(323\) | − | 12.8103i | − | 0.0396604i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −389.620 | −1.19883 | ||||||||
\(326\) | −94.4503 | + | 16.6541i | −0.289725 | + | 0.0510863i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −123.336 | + | 44.8906i | −0.376024 | + | 0.136861i | ||||
\(329\) | −4.61300 | + | 5.49756i | −0.0140213 | + | 0.0167099i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 437.065 | + | 159.079i | 1.32044 | + | 0.480600i | 0.903598 | − | 0.428381i | \(-0.140916\pi\) |
0.416839 | + | 0.908980i | \(0.363138\pi\) | |||||||
\(332\) | −86.4755 | + | 49.9266i | −0.260468 | + | 0.150381i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −165.500 | + | 286.655i | −0.495510 | + | 0.858248i | ||||
\(335\) | −52.7874 | − | 62.9096i | −0.157574 | − | 0.187790i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −77.3110 | + | 438.452i | −0.229409 | + | 1.30105i | 0.624664 | + | 0.780893i | \(0.285236\pi\) |
−0.854074 | + | 0.520152i | \(0.825875\pi\) | |||||||
\(338\) | 529.158 | + | 93.3049i | 1.56556 | + | 0.276050i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.9094 | − | 11.6714i | 0.0409100 | − | 0.0343275i | ||||
\(341\) | −24.5117 | − | 14.1519i | −0.0718819 | − | 0.0415011i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −107.183 | − | 185.646i | −0.312487 | − | 0.541243i | ||||
\(344\) | −58.5805 | + | 160.949i | −0.170292 | + | 0.467874i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −58.0502 | − | 48.7099i | −0.167775 | − | 0.140780i | ||||
\(347\) | −165.942 | − | 455.923i | −0.478220 | − | 1.31390i | −0.911003 | − | 0.412401i | \(-0.864690\pi\) |
0.432782 | − | 0.901498i | \(-0.357532\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 41.3173 | + | 234.322i | 0.118388 | + | 0.671409i | 0.985017 | + | 0.172457i | \(0.0551706\pi\) |
−0.866629 | + | 0.498952i | \(0.833718\pi\) | |||||||
\(350\) | − | 54.4152i | − | 0.155472i | ||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.52981 | −0.0100279 | ||||||||
\(353\) | 500.675 | − | 88.2825i | 1.41834 | − | 0.250092i | 0.588684 | − | 0.808363i | \(-0.299646\pi\) |
0.829659 | + | 0.558271i | \(0.188535\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −222.030 | + | 80.8124i | −0.625438 | + | 0.227641i | ||||
\(356\) | −164.972 | + | 196.606i | −0.463404 | + | 0.552263i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.1819 | − | 4.79781i | −0.0368209 | − | 0.0134017i | ||||
\(359\) | 439.887 | − | 253.969i | 1.22531 | − | 0.707435i | 0.259267 | − | 0.965806i | \(-0.416519\pi\) |
0.966046 | + | 0.258371i | \(0.0831857\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 172.167 | − | 298.202i | 0.476917 | − | 0.826045i | ||||
\(362\) | 98.4595 | + | 117.339i | 0.271987 | + | 0.324142i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.8274 | + | 106.776i | −0.0517238 | + | 0.293340i | ||||
\(365\) | 71.8279 | + | 12.6652i | 0.196789 | + | 0.0346992i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 70.1493 | − | 58.8623i | 0.191143 | − | 0.160388i | −0.542194 | − | 0.840253i | \(-0.682406\pi\) |
0.733337 | + | 0.679866i | \(0.237962\pi\) | |||||||
\(368\) | 157.058 | + | 90.6776i | 0.426789 | + | 0.246407i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −76.8116 | − | 133.042i | −0.207599 | − | 0.359572i | ||||
\(371\) | 63.2322 | − | 173.729i | 0.170437 | − | 0.468273i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −175.435 | − | 147.207i | −0.470335 | − | 0.394658i | 0.376582 | − | 0.926383i | \(-0.377099\pi\) |
−0.846917 | + | 0.531725i | \(0.821544\pi\) | |||||||
\(374\) | 0.947088 | + | 2.60210i | 0.00253232 | + | 0.00695749i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.52337 | − | 8.63943i | −0.00405150 | − | 0.0229772i | ||||
\(377\) | − | 467.660i | − | 1.24048i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −143.466 | −0.378539 | −0.189269 | − | 0.981925i | \(-0.560612\pi\) | ||||
−0.189269 | + | 0.981925i | \(0.560612\pi\) | |||||||
\(380\) | −23.2633 | + | 4.10195i | −0.0612192 | + | 0.0107946i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −207.372 | + | 75.4774i | −0.542860 | + | 0.197585i | ||||
\(383\) | 101.565 | − | 121.040i | 0.265183 | − | 0.316032i | −0.616979 | − | 0.786980i | \(-0.711643\pi\) |
0.882161 | + | 0.470948i | \(0.156088\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.92525 | − | 1.42867i | −0.0101955 | − | 0.00371084i | ||||
\(386\) | −322.553 | + | 186.226i | −0.835630 | + | 0.482451i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 140.945 | − | 244.124i | 0.363260 | − | 0.629185i | ||||
\(389\) | −141.000 | − | 168.037i | −0.362468 | − | 0.431972i | 0.553732 | − | 0.832695i | \(-0.313203\pi\) |
−0.916199 | + | 0.400723i | \(0.868759\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 24.7051 | − | 140.110i | 0.0631844 | − | 0.358337i | ||||
\(392\) | 121.575 | + | 21.4369i | 0.310140 | + | 0.0546860i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −156.262 | + | 131.119i | −0.396603 | + | 0.332789i | ||||
\(395\) | −166.735 | − | 96.2647i | −0.422115 | − | 0.243708i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −39.9845 | − | 69.2553i | −0.100717 | − | 0.174447i | 0.811263 | − | 0.584681i | \(-0.198780\pi\) |
−0.911980 | + | 0.410234i | \(0.865447\pi\) | |||||||
\(398\) | 128.794 | − | 353.858i | 0.323603 | − | 0.889091i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 50.9555 | + | 42.7568i | 0.127389 | + | 0.106892i | ||||
\(401\) | 204.847 | + | 562.811i | 0.510839 | + | 1.40352i | 0.880364 | + | 0.474299i | \(0.157298\pi\) |
−0.369525 | + | 0.929221i | \(0.620479\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −184.544 | − | 1046.60i | −0.457927 | − | 2.59703i | ||||
\(404\) | − | 79.4744i | − | 0.196719i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 65.3143 | 0.160873 | ||||||||
\(407\) | 23.0724 | − | 4.06829i | 0.0566890 | − | 0.00999579i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 88.1001 | − | 32.0658i | 0.215404 | − | 0.0784005i | −0.232064 | − | 0.972700i | \(-0.574548\pi\) |
0.447468 | + | 0.894300i | \(0.352326\pi\) | |||||||
\(410\) | 122.045 | − | 145.447i | 0.297670 | − | 0.354749i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 87.4518 | + | 31.8298i | 0.212262 | + | 0.0772569i | ||||
\(413\) | 130.856 | − | 75.5499i | 0.316843 | − | 0.182930i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 72.2237 | − | 125.095i | 0.174033 | − | 0.301434i | ||||
\(416\) | −85.1935 | − | 101.530i | −0.204792 | − | 0.244062i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.625568 | − | 3.54777i | 0.00149657 | − | 0.00848750i | ||||
\(419\) | −473.542 | − | 83.4983i | −1.13017 | − | 0.199280i | −0.422870 | − | 0.906191i | \(-0.638977\pi\) |
−0.707303 | + | 0.706911i | \(0.750088\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −160.713 | + | 134.854i | −0.381742 | + | 0.320319i | −0.813386 | − | 0.581725i | \(-0.802378\pi\) |
0.431644 | + | 0.902044i | \(0.357934\pi\) | |||||||
\(422\) | 249.859 | + | 144.256i | 0.592083 | + | 0.341839i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 112.999 | + | 195.720i | 0.266507 | + | 0.461604i | ||||
\(425\) | 17.8474 | − | 49.0354i | 0.0419940 | − | 0.115377i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −62.6046 | − | 52.5315i | −0.146615 | − | 0.123024i | ||||
\(428\) | 73.8333 | + | 202.855i | 0.172508 | + | 0.473961i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −43.0248 | − | 244.006i | −0.100058 | − | 0.567455i | ||||
\(431\) | − | 323.120i | − | 0.749698i | −0.927086 | − | 0.374849i | \(-0.877695\pi\) | ||
0.927086 | − | 0.374849i | \(-0.122305\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 382.089 | 0.882422 | 0.441211 | − | 0.897403i | \(-0.354549\pi\) | ||||
0.441211 | + | 0.897403i | \(0.354549\pi\) | |||||||
\(434\) | 146.171 | − | 25.7739i | 0.336799 | − | 0.0593868i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 115.383 | − | 41.9958i | 0.264639 | − | 0.0963207i | ||||
\(437\) | −118.973 | + | 141.787i | −0.272250 | + | 0.324456i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 263.667 | + | 95.9670i | 0.600609 | + | 0.218604i | 0.624389 | − | 0.781114i | \(-0.285348\pi\) |
−0.0237804 | + | 0.999717i | \(0.507570\pi\) | |||||||
\(440\) | 4.42211 | − | 2.55311i | 0.0100503 | − | 0.00580252i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −51.9871 | + | 90.0443i | −0.117618 | + | 0.203720i | ||||
\(443\) | 58.0355 | + | 69.1641i | 0.131006 | + | 0.156127i | 0.827559 | − | 0.561378i | \(-0.189729\pi\) |
−0.696554 | + | 0.717505i | \(0.745284\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 64.4703 | − | 365.629i | 0.144877 | − | 0.821639i | ||||
\(446\) | −25.1131 | − | 4.42812i | −0.0563075 | − | 0.00992853i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 14.1798 | − | 11.8983i | 0.0316514 | − | 0.0265587i | ||||
\(449\) | −327.853 | − | 189.286i | −0.730186 | − | 0.421573i | 0.0883044 | − | 0.996094i | \(-0.471855\pi\) |
−0.818490 | + | 0.574521i | \(0.805188\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.4779 | + | 25.0764i | 0.0321017 | + | 0.0556019i | ||||
\(452\) | −27.9907 | + | 76.9038i | −0.0619263 | + | 0.170141i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −116.539 | − | 97.7877i | −0.256694 | − | 0.215391i | ||||
\(455\) | −53.6439 | − | 147.385i | −0.117899 | − | 0.323924i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −69.0721 | − | 391.727i | −0.151142 | − | 0.857171i | −0.962228 | − | 0.272244i | \(-0.912234\pi\) |
0.811086 | − | 0.584927i | \(-0.198877\pi\) | |||||||
\(458\) | − | 197.079i | − | 0.430302i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −262.348 | −0.570321 | ||||||||
\(461\) | 395.858 | − | 69.8004i | 0.858694 | − | 0.151411i | 0.273070 | − | 0.961994i | \(-0.411961\pi\) |
0.585624 | + | 0.810583i | \(0.300850\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −179.095 | + | 65.1851i | −0.386814 | + | 0.140789i | −0.528104 | − | 0.849180i | \(-0.677097\pi\) |
0.141291 | + | 0.989968i | \(0.454875\pi\) | |||||||
\(464\) | −51.3208 | + | 61.1618i | −0.110605 | + | 0.131814i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 86.7748 | + | 31.5834i | 0.186212 | + | 0.0677756i | ||||
\(467\) | −746.239 | + | 430.841i | −1.59794 | + | 0.922572i | −0.606058 | + | 0.795420i | \(0.707250\pi\) |
−0.991883 | + | 0.127151i | \(0.959417\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.8385 | + | 56.8779i | −0.0700180 | + | 0.121275i | ||||
\(470\) | 8.15734 | + | 9.72154i | 0.0173561 | + | 0.0206841i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −32.0739 | + | 181.900i | −0.0679532 | + | 0.385382i | ||||
\(473\) | 37.2121 | + | 6.56150i | 0.0786726 | + | 0.0138721i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −52.0049 | + | 43.6373i | −0.109484 | + | 0.0918679i | ||||
\(476\) | −12.5758 | − | 7.26063i | −0.0264197 | − | 0.0152534i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −56.5205 | − | 97.8964i | −0.118244 | − | 0.204804i | ||||
\(479\) | 162.154 | − | 445.513i | 0.338525 | − | 0.930090i | −0.647288 | − | 0.762245i | \(-0.724097\pi\) |
0.985813 | − | 0.167845i | \(-0.0536808\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 673.880 | + | 565.452i | 1.40100 | + | 1.17558i | ||||
\(482\) | −117.430 | − | 322.637i | −0.243631 | − | 0.669371i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −41.8876 | − | 237.557i | −0.0865447 | − | 0.490819i | ||||
\(485\) | 407.781i | 0.840786i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 118.562 | 0.243454 | 0.121727 | − | 0.992564i | \(-0.461157\pi\) | ||||
0.121727 | + | 0.992564i | \(0.461157\pi\) | |||||||
\(488\) | 98.3832 | − | 17.3476i | 0.201605 | − | 0.0355484i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −167.813 | + | 61.0789i | −0.342475 | + | 0.124651i | ||||
\(491\) | 251.435 | − | 299.648i | 0.512087 | − | 0.610282i | −0.446604 | − | 0.894732i | \(-0.647367\pi\) |
0.958691 | + | 0.284450i | \(0.0918111\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 58.8571 | + | 21.4222i | 0.119386 | + | 0.0434528i | ||||
\(494\) | 117.145 | − | 67.6334i | 0.237135 | − | 0.136910i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −90.7187 | + | 157.129i | −0.182901 | + | 0.316793i | ||||
\(497\) | 121.463 | + | 144.754i | 0.244392 | + | 0.291256i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 32.0248 | − | 181.622i | 0.0641779 | − | 0.363971i | −0.935758 | − | 0.352643i | \(-0.885283\pi\) |
0.999936 | − | 0.0113281i | \(-0.00360592\pi\) | |||||||
\(500\) | −237.224 | − | 41.8291i | −0.474449 | − | 0.0836581i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −138.451 | + | 116.174i | −0.275798 | + | 0.231422i | ||||
\(503\) | 758.479 | + | 437.908i | 1.50791 | + | 0.870593i | 0.999958 | + | 0.00920825i | \(0.00293112\pi\) |
0.507953 | + | 0.861385i | \(0.330402\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 57.4837 | + | 99.5647i | 0.113829 | + | 0.197158i | ||||
\(506\) | 13.6840 | − | 37.5965i | 0.0270435 | − | 0.0743014i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 327.381 | + | 274.706i | 0.644451 | + | 0.540759i | ||||
\(509\) | −21.7815 | − | 59.8443i | −0.0427928 | − | 0.117572i | 0.916456 | − | 0.400136i | \(-0.131037\pi\) |
−0.959248 | + | 0.282564i | \(0.908815\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.1289 | − | 57.4438i | −0.0198217 | − | 0.112415i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 438.320 | 0.852762 | ||||||||
\(515\) | −132.581 | + | 23.3776i | −0.257439 | + | 0.0453935i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.81866 | + | 0.661938i | −0.00351772 | + | 0.00128034i | ||||
\(518\) | −78.9722 | + | 94.1155i | −0.152456 | + | 0.181690i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 180.166 | + | 65.5749i | 0.346472 | + | 0.126106i | ||||
\(521\) | −418.613 | + | 241.686i | −0.803479 | + | 0.463889i | −0.844686 | − | 0.535262i | \(-0.820213\pi\) |
0.0412070 | + | 0.999151i | \(0.486880\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −353.459 | + | 612.209i | −0.675830 | + | 1.17057i | 0.300396 | + | 0.953815i | \(0.402881\pi\) |
−0.976226 | + | 0.216757i | \(0.930452\pi\) | |||||||
\(524\) | 18.8454 | + | 22.4591i | 0.0359646 | + | 0.0428609i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 92.4567 | − | 524.348i | 0.175773 | − | 0.996859i | ||||
\(527\) | 140.173 | + | 24.7163i | 0.265983 | + | 0.0469000i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1169.45 | + | 981.284i | −2.21068 | + | 1.85498i | ||||
\(530\) | −283.128 | − | 163.464i | −0.534203 | − | 0.308422i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.44583 | + | 16.3607i | 0.0177553 | + | 0.0307531i | ||||
\(533\) | −371.855 | + | 1021.66i | −0.697665 | + | 1.91682i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −239.223 | − | 200.732i | −0.447145 | − | 0.375199i | ||||
\(536\) | −27.4588 | − | 75.4425i | −0.0512292 | − | 0.140751i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 65.0814 | + | 369.095i | 0.120969 | + | 0.686050i | ||||
\(539\) | − | 27.2348i | − | 0.0505284i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −64.3040 | −0.118861 | −0.0594307 | − | 0.998232i | \(-0.518929\pi\) | ||||
−0.0594307 | + | 0.998232i | \(0.518929\pi\) | |||||||
\(542\) | −45.2552 | + | 7.97971i | −0.0834966 | + | 0.0147227i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 16.6804 | − | 6.07118i | 0.0306626 | − | 0.0111603i | ||||
\(545\) | −114.175 | + | 136.068i | −0.209495 | + | 0.249666i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −162.501 | − | 59.1454i | −0.297076 | − | 0.108127i | 0.189182 | − | 0.981942i | \(-0.439416\pi\) |
−0.486258 | + | 0.873815i | \(0.661639\pi\) | |||||||
\(548\) | 234.190 | − | 135.210i | 0.427354 | − | 0.246733i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.33735 | − | 12.7087i | 0.0133406 | − | 0.0231067i | ||||
\(551\) | −52.3777 | − | 62.4213i | −0.0950593 | − | 0.113287i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −26.7373 | + | 151.635i | −0.0483495 | + | 0.274204i | ||||
\(554\) | −650.946 | − | 114.779i | −1.17499 | − | 0.207183i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −114.367 | + | 95.9655i | −0.205696 | + | 0.172600i | ||||
\(557\) | 575.226 | + | 332.107i | 1.03272 | + | 0.596242i | 0.917763 | − | 0.397128i | \(-0.129993\pi\) |
0.114958 | + | 0.993370i | \(0.463327\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 709.398 | + | 1228.71i | 1.26905 | + | 2.19806i | ||||
\(560\) | −9.15833 | + | 25.1623i | −0.0163542 | + | 0.0449327i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −130.406 | − | 109.424i | −0.232040 | − | 0.194704i | ||||
\(563\) | 106.367 | + | 292.240i | 0.188929 | + | 0.519077i | 0.997604 | − | 0.0691777i | \(-0.0220376\pi\) |
−0.808676 | + | 0.588255i | \(0.799815\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −20.5579 | − | 116.590i | −0.0363857 | − | 0.206354i | ||||
\(566\) | 452.707i | 0.799837i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −230.991 | −0.406673 | ||||||||
\(569\) | 322.708 | − | 56.9022i | 0.567150 | − | 0.100004i | 0.117282 | − | 0.993099i | \(-0.462582\pi\) |
0.449869 | + | 0.893095i | \(0.351471\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 557.293 | − | 202.838i | 0.975995 | − | 0.355233i | 0.195713 | − | 0.980661i | \(-0.437298\pi\) |
0.780282 | + | 0.625428i | \(0.215076\pi\) | |||||||
\(572\) | −18.7948 | + | 22.3988i | −0.0328581 | + | 0.0391587i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −142.688 | − | 51.9341i | −0.248585 | − | 0.0904775i | ||||
\(575\) | −652.947 | + | 376.979i | −1.13556 | + | 0.655616i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −87.0488 | + | 150.773i | −0.150864 | + | 0.261305i | −0.931546 | − | 0.363625i | \(-0.881539\pi\) |
0.780681 | + | 0.624930i | \(0.214872\pi\) | |||||||
\(578\) | 253.761 | + | 302.421i | 0.439033 | + | 0.523219i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.0560 | − | 113.743i | 0.0345793 | − | 0.196109i | ||||
\(581\) | −113.766 | − | 20.0599i | −0.195810 | − | 0.0345266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 38.1936 | − | 32.0482i | 0.0655121 | − | 0.0549712i | ||||
\(584\) | 61.7505 | + | 35.6516i | 0.105737 | + | 0.0610473i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −264.647 | − | 458.381i | −0.451615 | − | 0.782220i | ||||
\(587\) | 214.475 | − | 589.265i | 0.365375 | − | 1.00386i | −0.611724 | − | 0.791071i | \(-0.709524\pi\) |
0.977099 | − | 0.212787i | \(-0.0682541\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −141.851 | − | 119.027i | −0.240834 | − | 0.202084i | ||||
\(590\) | −91.3862 | − | 251.082i | −0.154892 | − | 0.425562i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −26.0792 | − | 147.903i | −0.0440528 | − | 0.249836i | ||||
\(593\) | 495.118i | 0.834938i | 0.908691 | + | 0.417469i | \(0.137083\pi\) | ||||
−0.908691 | + | 0.417469i | \(0.862917\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.0064 | 0.0353049 | ||||||||
\(596\) | −432.712 | + | 76.2987i | −0.726026 | + | 0.128018i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1411.67 | − | 513.808i | 2.36066 | − | 0.859210i | ||||
\(599\) | 109.105 | − | 130.026i | 0.182145 | − | 0.217072i | −0.667244 | − | 0.744839i | \(-0.732526\pi\) |
0.849389 | + | 0.527767i | \(0.176971\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 317.677 | + | 115.625i | 0.528581 | + | 0.192388i | 0.592505 | − | 0.805567i | \(-0.298139\pi\) |
−0.0639237 | + | 0.997955i | \(0.520361\pi\) | |||||||
\(602\) | −171.605 | + | 99.0760i | −0.285058 | + | 0.164578i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 121.176 | − | 209.882i | 0.200622 | − | 0.347487i | ||||
\(605\) | 224.301 | + | 267.311i | 0.370745 | + | 0.441837i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −160.570 | + | 910.637i | −0.264530 | + | 1.50023i | 0.505839 | + | 0.862628i | \(0.331183\pi\) |
−0.770369 | + | 0.637598i | \(0.779928\pi\) | |||||||
\(608\) | −22.7425 | − | 4.01012i | −0.0374055 | − | 0.00659560i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −110.706 | + | 92.8933i | −0.181485 | + | 0.152284i | ||||
\(611\) | −62.9337 | − | 36.3348i | −0.103001 | − | 0.0594677i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 56.5416 | + | 97.9329i | 0.0922375 | + | 0.159760i | 0.908452 | − | 0.417989i | \(-0.137265\pi\) |
−0.816215 | + | 0.577748i | \(0.803931\pi\) | |||||||
\(614\) | −159.080 | + | 437.069i | −0.259088 | + | 0.711839i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.12826 | − | 2.62492i | −0.00507835 | − | 0.00426124i | ||||
\(617\) | −309.177 | − | 849.458i | −0.501098 | − | 1.37675i | −0.890204 | − | 0.455562i | \(-0.849438\pi\) |
0.389106 | − | 0.921193i | \(-0.372784\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −57.2390 | − | 324.618i | −0.0924700 | − | 0.524424i | −0.995493 | − | 0.0948320i | \(-0.969769\pi\) |
0.903023 | − | 0.429592i | \(-0.141343\pi\) | |||||||
\(620\) | − | 262.467i | − | 0.423333i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −165.771 | −0.266513 | ||||||||
\(623\) | −292.409 | + | 51.5596i | −0.469357 | + | 0.0827602i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −63.2168 | + | 23.0090i | −0.101147 | + | 0.0368145i | ||||
\(626\) | 339.921 | − | 405.103i | 0.543005 | − | 0.647129i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 130.822 | + | 47.6155i | 0.208316 | + | 0.0758208i | ||||
\(629\) | −102.033 | + | 58.9090i | −0.162215 | + | 0.0936549i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −291.993 | + | 505.746i | −0.462746 | + | 0.801500i | −0.999097 | − | 0.0424954i | \(-0.986469\pi\) |
0.536350 | + | 0.843995i | \(0.319803\pi\) | |||||||
\(632\) | −120.985 | − | 144.185i | −0.191432 | − | 0.228140i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 45.7767 | − | 259.613i | 0.0722030 | − | 0.409484i | ||||
\(635\) | −608.834 | − | 107.354i | −0.958794 | − | 0.169061i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 783.367 | − | 657.323i | 1.22978 | − | 1.03190i | ||||
\(638\) | 15.2542 | + | 8.80700i | 0.0239094 | + | 0.0138041i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −16.3664 | − | 28.3474i | −0.0255725 | − | 0.0442928i | ||||
\(641\) | 302.004 | − | 829.750i | 0.471146 | − | 1.29446i | −0.445687 | − | 0.895189i | \(-0.647040\pi\) |
0.916832 | − | 0.399273i | \(-0.130737\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −488.473 | − | 409.878i | −0.759679 | − | 0.637446i | 0.178365 | − | 0.983964i | \(-0.442919\pi\) |
−0.938043 | + | 0.346518i | \(0.887364\pi\) | |||||||
\(644\) | 71.7594 | + | 197.157i | 0.111428 | + | 0.306145i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.14590 | + | 17.8413i | 0.00486981 | + | 0.0276181i | ||||
\(647\) | 950.774i | 1.46951i | 0.678332 | + | 0.734756i | \(0.262703\pi\) | ||||
−0.678332 | + | 0.734756i | \(0.737297\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 40.7487 | 0.0627868 | ||||||||
\(650\) | 542.635 | − | 95.6812i | 0.834823 | − | 0.147202i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 127.454 | − | 46.3894i | 0.195481 | − | 0.0711493i | ||||
\(653\) | −86.4460 | + | 103.022i | −0.132383 | + | 0.157768i | −0.828163 | − | 0.560487i | \(-0.810614\pi\) |
0.695781 | + | 0.718254i | \(0.255059\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −39.8540 | − | 14.5057i | −0.0608458 | − | 0.0221461i | ||||
\(656\) | 160.749 | − | 92.8086i | 0.245045 | − | 0.141477i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.07459 | − | 8.78945i | 0.00771215 | − | 0.0133578i | ||||
\(659\) | 46.3613 | + | 55.2513i | 0.0703510 | + | 0.0838411i | 0.800072 | − | 0.599904i | \(-0.204795\pi\) |
−0.729721 | + | 0.683745i | \(0.760350\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 118.446 | − | 671.739i | 0.179192 | − | 1.01625i | −0.754002 | − | 0.656872i | \(-0.771879\pi\) |
0.933194 | − | 0.359374i | \(-0.117010\pi\) | |||||||
\(662\) | −647.778 | − | 114.221i | −0.978517 | − | 0.172539i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 108.176 | − | 90.7705i | 0.162916 | − | 0.136703i | ||||
\(665\) | −23.6673 | − | 13.6643i | −0.0355899 | − | 0.0205478i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −452.487 | − | 783.731i | −0.678391 | − | 1.17501i | ||||
\(668\) | 160.101 | − | 439.875i | 0.239673 | − | 0.658496i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 88.9676 | + | 74.6527i | 0.132787 | + | 0.111422i | ||||
\(671\) | −7.53795 | − | 20.7103i | −0.0112339 | − | 0.0308649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −57.0789 | − | 323.710i | −0.0848126 | − | 0.480996i | −0.997397 | − | 0.0721075i | \(-0.977028\pi\) |
0.912584 | − | 0.408889i | \(-0.134084\pi\) | |||||||
\(674\) | − | 629.631i | − | 0.934170i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −759.887 | −1.12409 | ||||||||
\(677\) | 485.025 | − | 85.5230i | 0.716433 | − | 0.126326i | 0.196463 | − | 0.980511i | \(-0.437054\pi\) |
0.519970 | + | 0.854185i | \(0.325943\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 306.452 | − | 111.540i | 0.451329 | − | 0.164270i | ||||
\(680\) | −16.5058 | + | 19.6708i | −0.0242732 | + | 0.0289277i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 37.6136 | + | 13.6902i | 0.0551518 | + | 0.0200736i | ||||
\(683\) | 725.236 | − | 418.715i | 1.06184 | − | 0.613053i | 0.135899 | − | 0.990723i | \(-0.456608\pi\) |
0.925940 | + | 0.377669i | \(0.123274\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −195.594 | + | 338.778i | −0.285538 | + | 0.494567i | ||||
\(686\) | 194.867 | + | 232.233i | 0.284062 | + | 0.338532i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 42.0617 | − | 238.544i | 0.0611361 | − | 0.346720i | ||||
\(689\) | 1843.63 | + | 325.082i | 2.67581 | + | 0.471818i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −125.334 | + | 105.168i | −0.181381 | + | 0.152197i | −0.728958 | − | 0.684559i | \(-0.759995\pi\) |
0.547577 | + | 0.836756i | \(0.315551\pi\) | |||||||
\(692\) | 92.8101 | + | 53.5839i | 0.134119 | + | 0.0774334i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 343.076 | + | 594.226i | 0.494346 | + | 0.856233i | ||||
\(695\) | 73.8663 | − | 202.946i | 0.106283 | − | 0.292009i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −111.547 | − | 93.5993i | −0.160039 | − | 0.134289i | ||||
\(698\) | −115.087 | − | 316.200i | −0.164882 | − | 0.453009i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.3630 | + | 75.7855i | 0.0190900 | + | 0.108265i | ||||
\(701\) | − | 730.990i | − | 1.04278i | −0.853318 | − | 0.521391i | \(-0.825413\pi\) | ||
0.853318 | − | 0.521391i | \(-0.174587\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 153.277 | 0.218033 | ||||||||
\(704\) | 4.91607 | − | 0.866836i | 0.00698306 | − | 0.00123130i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −675.624 | + | 245.907i | −0.956975 | + | 0.348310i | ||||
\(707\) | 59.1006 | − | 70.4334i | 0.0835935 | − | 0.0996229i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −752.159 | − | 273.764i | −1.06087 | − | 0.386126i | −0.248117 | − | 0.968730i | \(-0.579812\pi\) |
−0.812756 | + | 0.582604i | \(0.802034\pi\) | |||||||
\(710\) | 289.382 | − | 167.075i | 0.407581 | − | 0.235317i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 181.479 | − | 314.331i | 0.254887 | − | 0.441477i | ||||
\(713\) | −1321.92 | − | 1575.40i | −1.85402 | − | 2.20954i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.34494 | − | 41.6552i | 0.0102726 | − | 0.0582591i | ||||
\(716\) | 19.5370 | + | 3.44490i | 0.0272863 | + | 0.00481131i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −550.275 | + | 461.735i | −0.766400 | + | 0.643086i | ||||
\(719\) | −103.412 | − | 59.7052i | −0.143828 | − | 0.0830392i | 0.426359 | − | 0.904554i | \(-0.359796\pi\) |
−0.570187 | + | 0.821515i | \(0.693129\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 53.8332 | + | 93.2418i | 0.0746646 | + | 0.129323i | ||||
\(722\) | −166.551 | + | 457.595i | −0.230680 | + | 0.633788i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −165.943 | − | 139.243i | −0.229203 | − | 0.192324i | ||||
\(725\) | −113.526 | − | 311.910i | −0.156588 | − | 0.430221i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.5632 | − | 133.634i | −0.0324116 | − | 0.183815i | 0.964304 | − | 0.264798i | \(-0.0853052\pi\) |
−0.996716 | + | 0.0809827i | \(0.974194\pi\) | |||||||
\(728\) | − | 153.333i | − | 0.210623i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −103.147 | −0.141297 | ||||||||
\(731\) | −187.135 | + | 32.9969i | −0.255998 | + | 0.0451394i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −706.692 | + | 257.215i | −0.964110 | + | 0.350907i | −0.775643 | − | 0.631172i | \(-0.782574\pi\) |
−0.188467 | + | 0.982080i | \(0.560352\pi\) | |||||||
\(734\) | −83.2438 | + | 99.2061i | −0.113411 | + | 0.135158i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −241.008 | − | 87.7196i | −0.327456 | − | 0.119184i | ||||
\(737\) | −15.3389 | + | 8.85589i | −0.0208126 | + | 0.0120161i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 568.765 | − | 985.130i | 0.769642 | − | 1.33306i | −0.168116 | − | 0.985767i | \(-0.553768\pi\) |
0.937757 | − | 0.347291i | \(-0.112898\pi\) | |||||||
\(740\) | 139.650 | + | 166.428i | 0.188716 | + | 0.224902i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −45.4017 | + | 257.486i | −0.0611883 | + | 0.347016i | ||||
\(743\) | 707.445 | + | 124.742i | 0.952147 | + | 0.167889i | 0.628083 | − | 0.778146i | \(-0.283840\pi\) |
0.324064 | + | 0.946035i | \(0.394951\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 486.910 | − | 408.566i | 0.653570 | − | 0.548411i | ||||
\(746\) | 280.484 | + | 161.937i | 0.375984 | + | 0.217074i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.95805 | − | 3.39144i | −0.00261771 | − | 0.00453401i | ||||
\(749\) | −85.4181 | + | 234.684i | −0.114043 | + | 0.313330i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 481.188 | + | 403.765i | 0.640730 | + | 0.537636i | 0.904242 | − | 0.427020i | \(-0.140436\pi\) |
−0.263512 | + | 0.964656i | \(0.584881\pi\) | |||||||
\(752\) | 4.24327 | + | 11.6583i | 0.00564264 | + | 0.0155030i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 114.846 | + | 651.323i | 0.152315 | + | 0.863824i | ||||
\(755\) | 350.584i | 0.464350i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 393.374 | 0.519648 | 0.259824 | − | 0.965656i | \(-0.416335\pi\) | ||||
0.259824 | + | 0.965656i | \(0.416335\pi\) | |||||||
\(758\) | 199.809 | − | 35.2318i | 0.263601 | − | 0.0464799i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 31.3921 | − | 11.4258i | 0.0413054 | − | 0.0150339i | ||||
\(761\) | −519.995 | + | 619.706i | −0.683305 | + | 0.814331i | −0.990529 | − | 0.137306i | \(-0.956155\pi\) |
0.307224 | + | 0.951637i | \(0.400600\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 133.487 | + | 48.5852i | 0.174950 | + | 0.0636765i | ||||
\(764\) | 270.278 | − | 156.045i | 0.353767 | − | 0.204248i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −111.728 | + | 193.518i | −0.145859 | + | 0.252635i | ||||
\(767\) | 983.485 | + | 1172.07i | 1.28225 | + | 1.52813i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.5452 | − | 88.1614i | 0.0202149 | − | 0.114644i | −0.973031 | − | 0.230676i | \(-0.925906\pi\) |
0.993246 | + | 0.116032i | \(0.0370174\pi\) | |||||||
\(770\) | 5.81766 | + | 1.02581i | 0.00755540 | + | 0.00133222i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 403.496 | − | 338.574i | 0.522664 | − | 0.438567i | ||||
\(773\) | −1053.61 | − | 608.304i | −1.36302 | − | 0.786939i | −0.372994 | − | 0.927834i | \(-0.621669\pi\) |
−0.990025 | + | 0.140894i | \(0.955002\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −377.150 | − | 653.243i | −0.486645 | − | 0.842894i | ||||
\(776\) | −136.347 | + | 374.611i | −0.175705 | + | 0.482746i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 237.640 | + | 199.404i | 0.305450 | + | 0.256303i | ||||
\(779\) | 64.7922 | + | 178.015i | 0.0831735 | + | 0.228517i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.84904 | + | 50.1854i | 0.0113304 | + | 0.0642579i | ||||
\(782\) | 201.202i | 0.257291i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −174.585 | −0.222685 | ||||||||
\(785\) | −198.333 | + | 34.9715i | −0.252654 | + | 0.0445497i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −771.120 | + | 280.665i | −0.979822 | + | 0.356626i | −0.781771 | − | 0.623566i | \(-0.785683\pi\) |
−0.198051 | + | 0.980192i | \(0.563461\pi\) | |||||||
\(788\) | 185.430 | − | 220.987i | 0.235318 | − | 0.280441i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 255.857 | + | 93.1245i | 0.323870 | + | 0.117879i | ||||
\(791\) | −81.9955 | + | 47.3401i | −0.103661 | + | 0.0598484i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 413.769 | − | 716.670i | 0.521777 | − | 0.903745i | ||||
\(794\) | 72.6950 | + | 86.6346i | 0.0915554 | + | 0.109112i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −92.4760 | + | 524.457i | −0.116176 | + | 0.658866i | ||||
\(797\) | −942.932 | − | 166.264i | −1.18310 | − | 0.208613i | −0.452720 | − | 0.891653i | \(-0.649546\pi\) |
−0.730381 | + | 0.683040i | \(0.760658\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.45572 | − | 6.25609i | 0.00933131 | − | 0.00782990i | ||||
\(800\) | −81.4673 | − | 47.0351i | −0.101834 | − | 0.0587939i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −423.508 | − | 733.538i | −0.528065 | − | 0.914636i | ||||
\(803\) | 5.38013 | − | 14.7818i | 0.00670004 | − | 0.0184082i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −232.503 | − | 195.093i | −0.288824 | − | 0.242352i | ||||
\(806\) | 514.040 | + | 1412.31i | 0.637767 | + | 1.75225i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 19.5170 | + | 110.686i | 0.0241547 | + | 0.136988i | ||||
\(809\) | 180.576i | 0.223209i | 0.993753 | + | 0.111605i | \(0.0355990\pi\) | ||||
−0.993753 | + | 0.111605i | \(0.964401\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 518.424 | 0.639240 | 0.319620 | − | 0.947546i | \(-0.396445\pi\) | ||||
0.319620 | + | 0.947546i | \(0.396445\pi\) | |||||||
\(812\) | −90.9651 | + | 16.0396i | −0.112026 | + | 0.0197532i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −31.1345 | + | 11.3320i | −0.0382488 | + | 0.0139214i | ||||
\(815\) | −126.119 | + | 150.303i | −0.154748 | + | 0.184421i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 232.303 | + | 84.5513i | 0.284336 | + | 0.103490i | ||||
\(818\) | −114.825 | + | 66.2942i | −0.140373 | + | 0.0810443i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −134.257 | + | 232.539i | −0.163728 | + | 0.283585i | ||||
\(821\) | −176.439 | − | 210.271i | −0.214907 | − | 0.256116i | 0.647812 | − | 0.761801i | \(-0.275684\pi\) |
−0.862718 | + | 0.505685i | \(0.831240\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −107.367 | + | 608.911i | −0.130459 | + | 0.739867i | 0.847457 | + | 0.530865i | \(0.178133\pi\) |
−0.977915 | + | 0.209002i | \(0.932978\pi\) | |||||||
\(824\) | −129.613 | − | 22.8543i | −0.157298 | − | 0.0277358i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −163.694 | + | 137.356i | −0.198177 | + | 0.166290i | ||||
\(827\) | −672.492 | − | 388.263i | −0.813170 | − | 0.469484i | 0.0348852 | − | 0.999391i | \(-0.488893\pi\) |
−0.848056 | + | 0.529907i | \(0.822227\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 265.258 | + | 459.440i | 0.319973 | + | 0.554209i | 0.980482 | − | 0.196609i | \(-0.0629928\pi\) |
−0.660509 | + | 0.750818i | \(0.729660\pi\) | |||||||
\(830\) | −69.8677 | + | 191.960i | −0.0841779 | + | 0.231277i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 143.585 | + | 120.482i | 0.172578 | + | 0.144810i | ||||
\(833\) | 46.8431 | + | 128.700i | 0.0562342 | + | 0.154502i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 117.588 | + | 666.872i | 0.140823 | + | 0.798649i | ||||
\(836\) | 5.09471i | 0.00609415i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 680.021 | 0.811481 | ||||||||
\(839\) | −992.570 | + | 175.017i | −1.18304 | + | 0.208602i | −0.730354 | − | 0.683069i | \(-0.760645\pi\) |
−0.452685 | + | 0.891670i | \(0.649534\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −415.897 | + | 151.374i | −0.494527 | + | 0.179993i | ||||
\(842\) | 190.713 | − | 227.283i | 0.226500 | − | 0.269932i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −383.411 | − | 139.550i | −0.454279 | − | 0.165344i | ||||
\(845\) | 951.978 | − | 549.625i | 1.12660 | − | 0.650444i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 139.535 | − | 241.682i | 0.164740 | − | 0.285338i | ||||
\(848\) | −205.441 | − | 244.835i | −0.242265 | − | 0.288720i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.8147 | + | 72.6759i | −0.0150762 | + | 0.0855011i | ||||
\(851\) | 1676.43 | + | 295.600i | 1.96996 | + | 0.347356i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 668.076 | − | 560.582i | 0.783207 | − | 0.657189i | −0.160847 | − | 0.986979i | \(-0.551423\pi\) |
0.944054 | + | 0.329791i | \(0.106978\pi\) | |||||||
\(854\) | 100.092 | + | 57.7879i | 0.117203 | + | 0.0676673i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −152.646 | − | 264.391i | −0.178325 | − | 0.308868i | ||||
\(857\) | −285.540 | + | 784.514i | −0.333185 | + | 0.915419i | 0.654093 | + | 0.756414i | \(0.273051\pi\) |
−0.987278 | + | 0.159004i | \(0.949172\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −51.8826 | − | 43.5347i | −0.0603989 | − | 0.0506807i | 0.612088 | − | 0.790789i | \(-0.290330\pi\) |
−0.672487 | + | 0.740109i | \(0.734774\pi\) | |||||||
\(860\) | 119.844 | + | 329.268i | 0.139353 | + | 0.382870i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 79.3504 | + | 450.018i | 0.0920538 | + | 0.522063i | ||||
\(863\) | − | 1191.58i | − | 1.38074i | −0.723456 | − | 0.690370i | \(-0.757448\pi\) | ||
0.723456 | − | 0.690370i | \(-0.242552\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −155.029 | −0.179224 | ||||||||
\(866\) | −532.146 | + | 93.8317i | −0.614487 | + | 0.108351i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −197.247 | + | 71.7920i | −0.227243 | + | 0.0827096i | ||||
\(869\) | −26.6910 | + | 31.8090i | −0.0307146 | + | 0.0366042i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −624.935 | − | 227.458i | −0.717492 | − | 0.261146i | ||||
\(872\) | −150.384 | + | 86.8240i | −0.172458 | + | 0.0995688i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 130.878 | − | 226.688i | 0.149746 | − | 0.259368i | ||||
\(875\) | −179.132 | − | 213.481i | −0.204722 | − | 0.243978i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −127.873 | + | 725.202i | −0.145807 | + | 0.826912i | 0.820909 | + | 0.571059i | \(0.193467\pi\) |
−0.966716 | + | 0.255853i | \(0.917644\pi\) | |||||||
\(878\) | −390.784 | − | 68.9058i | −0.445084 | − | 0.0784804i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.53182 | + | 4.64175i | −0.00628616 | + | 0.00527472i | ||||
\(881\) | −1028.88 | − | 594.025i | −1.16786 | − | 0.674263i | −0.214683 | − | 0.976684i | \(-0.568872\pi\) |
−0.953174 | + | 0.302421i | \(0.902205\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 509.485 | + | 882.454i | 0.576993 | + | 0.999382i | 0.995822 | + | 0.0913164i | \(0.0291075\pi\) |
−0.418829 | + | 0.908065i | \(0.637559\pi\) | |||||||
\(884\) | 50.2912 | − | 138.174i | 0.0568905 | − | 0.156305i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −97.8128 | − | 82.0747i | −0.110398 | − | 0.0926351i | ||||
\(887\) | 267.381 | + | 734.624i | 0.301445 | + | 0.828212i | 0.994250 | + | 0.107087i | \(0.0341524\pi\) |
−0.692805 | + | 0.721125i | \(0.743625\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 85.8554 | + | 486.910i | 0.0965752 | + | 0.547705i | ||||
\(890\) | 525.055i | 0.589949i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 36.0632 | 0.0404296 | ||||||||
\(893\) | −12.4696 | + | 2.19873i | −0.0139637 | + | 0.00246218i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −26.9674 | + | 9.81534i | −0.0301312 | + | 0.0109669i | ||||
\(896\) | −16.8267 | + | 20.0533i | −0.0187798 | + | 0.0223809i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 503.095 | + | 183.112i | 0.560239 | + | 0.203910i | ||||
\(899\) | 784.086 | − | 452.692i | 0.872175 | − | 0.503551i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −125.365 | + | 217.138i | −0.139140 | + | 0.240997i | ||||
\(902\) | −26.3219 | − | 31.3692i | −0.0291817 | − | 0.0347774i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 20.0977 | − | 113.980i | 0.0222320 | − | 0.126084i | ||||
\(905\) | 308.606 | + | 54.4155i | 0.341001 | + | 0.0601276i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 367.436 | − | 308.315i | 0.405111 | − | 0.339929i | −0.417354 | − | 0.908744i | \(-0.637042\pi\) |
0.822465 | + | 0.568815i | \(0.192598\pi\) | |||||||
\(908\) | 186.321 | + | 107.573i | 0.205200 | + | 0.118472i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 110.906 | + | 192.094i | 0.121874 | + | 0.211093i | ||||
\(911\) | 218.659 | − | 600.761i | 0.240021 | − | 0.659452i | −0.759934 | − | 0.650000i | \(-0.774769\pi\) |
0.999955 | − | 0.00945235i | \(-0.00300882\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −23.8651 | − | 20.0252i | −0.0261392 | − | 0.0219334i | ||||
\(914\) | 192.397 | + | 528.607i | 0.210500 | + | 0.578345i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 48.3977 | + | 274.477i | 0.0528359 | + | 0.299647i | ||||
\(917\) | 33.9184i | 0.0369885i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.7768 | −0.0160792 | −0.00803959 | − | 0.999968i | \(-0.502559\pi\) | ||||
−0.00803959 | + | 0.999968i | \(0.502559\pi\) | |||||||
\(920\) | 365.379 | − | 64.4262i | 0.397151 | − | 0.0700285i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −534.181 | + | 194.426i | −0.579372 | + | 0.210874i | ||||
\(923\) | −1229.93 | + | 1465.77i | −1.33254 | + | 1.58805i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 586.716 | + | 213.547i | 0.634288 | + | 0.230862i | ||||
\(926\) | 233.422 | − | 134.766i | 0.252076 | − | 0.145536i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 56.4561 | − | 97.7849i | 0.0608363 | − | 0.105372i | ||||
\(929\) | −795.223 | − | 947.710i | −0.855999 | − | 1.02014i | −0.999535 | − | 0.0304949i | \(-0.990292\pi\) |
0.143536 | − | 0.989645i | \(-0.454153\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 30.9407 | − | 175.473i | 0.0332338 | − | 0.188478i | ||||
\(932\) | −128.610 | − | 22.6774i | −0.137993 | − | 0.0243320i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 933.504 | − | 783.303i | 0.999469 | − | 0.838654i | ||||
\(935\) | 4.90605 | + | 2.83251i | 0.00524711 | + | 0.00302942i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −764.046 | − | 1323.37i | −0.815418 | − | 1.41234i | −0.909028 | − | 0.416736i | \(-0.863174\pi\) |
0.0936099 | − | 0.995609i | \(-0.470159\pi\) | |||||||
\(938\) | 31.7672 | − | 87.2798i | 0.0338670 | − | 0.0930488i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.7483 | − | 11.5362i | −0.0146259 | − | 0.0122726i | ||||
\(941\) | −352.183 | − | 967.616i | −0.374265 | − | 1.02828i | −0.973695 | − | 0.227857i | \(-0.926828\pi\) |
0.599430 | − | 0.800427i | \(-0.295394\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 365.341 | + | 2071.95i | 0.387424 | + | 2.19719i | ||||
\(944\) | − | 261.214i | − | 0.276710i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −53.4377 | −0.0564881 | ||||||||
\(947\) | −129.208 | + | 22.7828i | −0.136439 | + | 0.0240579i | −0.241451 | − | 0.970413i | \(-0.577623\pi\) |
0.105011 | + | 0.994471i | \(0.466512\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 555.027 | − | 202.013i | 0.584855 | − | 0.212870i | ||||
\(950\) | 61.7124 | − | 73.5460i | 0.0649604 | − | 0.0774168i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 19.2977 | + | 7.02378i | 0.0202707 | + | 0.00737792i | ||||
\(953\) | −1223.02 | + | 706.112i | −1.28334 | + | 0.740936i | −0.977457 | − | 0.211133i | \(-0.932285\pi\) |
−0.305882 | + | 0.952069i | \(0.598951\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −225.734 | + | 390.983i | −0.236371 | + | 0.409407i | ||||
\(956\) | 102.759 | + | 122.463i | 0.107488 | + | 0.128099i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −116.429 | + | 660.300i | −0.121533 | + | 0.689249i | ||||
\(959\) | 308.096 | + | 54.3257i | 0.321268 | + | 0.0566483i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 839.945 | − | 704.797i | 0.874032 | − | 0.733400i | ||||
\(962\) | −1077.39 | − | 622.033i | −1.11995 | − | 0.646604i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 242.780 | + | 420.508i | 0.251847 | + | 0.436211i | ||||
\(965\) | −260.606 | + | 716.010i | −0.270058 | + | 0.741979i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 445.513 | + | 373.830i | 0.460717 | + | 0.386587i | 0.843395 | − | 0.537295i | \(-0.180554\pi\) |
−0.382678 | + | 0.923882i | \(0.624998\pi\) | |||||||
\(968\) | 116.676 | + | 320.565i | 0.120533 | + | 0.331162i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −100.141 | − | 567.928i | −0.103238 | − | 0.585493i | ||||
\(971\) | 208.668i | 0.214900i | 0.994210 | + | 0.107450i | \(0.0342686\pi\) | ||||
−0.994210 | + | 0.107450i | \(0.965731\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −172.721 | −0.177514 | ||||||||
\(974\) | −165.125 | + | 29.1159i | −0.169533 | + | 0.0298932i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −132.761 | + | 48.3210i | −0.136026 | + | 0.0495093i | ||||
\(977\) | 1130.45 | − | 1347.21i | 1.15706 | − | 1.37893i | 0.244667 | − | 0.969607i | \(-0.421321\pi\) |
0.912391 | − | 0.409320i | \(-0.134234\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −75.2445 | − | 27.3868i | −0.0768585 | − | 0.0279742i | ||||
\(980\) | 218.718 | − | 126.277i | 0.223182 | − | 0.128854i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −276.594 | + | 479.075i | −0.281664 | + | 0.487856i | ||||
\(983\) | 795.222 | + | 947.708i | 0.808974 | + | 0.964098i | 0.999847 | − | 0.0175168i | \(-0.00557606\pi\) |
−0.190872 | + | 0.981615i | \(0.561132\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −72.4654 | + | 410.972i | −0.0735690 | + | 0.417230i | ||||
\(986\) | −87.2327 | − | 15.3815i | −0.0884713 | − | 0.0155999i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −146.541 | + | 122.963i | −0.148321 | + | 0.124456i | ||||
\(989\) | 2377.70 | + | 1372.76i | 2.40414 | + | 1.38803i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −384.670 | − | 666.268i | −0.388163 | − | 0.672319i | 0.604039 | − | 0.796955i | \(-0.293557\pi\) |
−0.992203 | + | 0.124636i | \(0.960224\pi\) | |||||||
\(992\) | 87.7594 | − | 241.117i | 0.0884671 | − | 0.243061i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −204.713 | − | 171.775i | −0.205949 | − | 0.172812i | ||||
\(995\) | −263.486 | − | 723.922i | −0.264810 | − | 0.727560i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.4474 | − | 87.6066i | −0.0154939 | − | 0.0878702i | 0.976080 | − | 0.217410i | \(-0.0697610\pi\) |
−0.991574 | + | 0.129540i | \(0.958650\pi\) | |||||||
\(998\) | 260.814i | 0.261337i | ||||||||
\(999\) | 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 | 162.3.f.a.71.1 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.41.4 | yes | 36 | ||
12.11 | even | 2 | 432.3.bc.c.257.4 | 36 | |||
27.2 | odd | 18 | inner | 162.3.f.a.89.1 | 36 | ||
27.5 | odd | 18 | 1458.3.b.c.1457.6 | 36 | |||
27.22 | even | 9 | 1458.3.b.c.1457.31 | 36 | |||
27.25 | even | 9 | 54.3.f.a.29.4 | ✓ | 36 | ||
108.79 | odd | 18 | 432.3.bc.c.353.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.29.4 | ✓ | 36 | 27.25 | even | 9 | ||
54.3.f.a.41.4 | yes | 36 | 3.2 | odd | 2 | ||
162.3.f.a.71.1 | 36 | 1.1 | even | 1 | trivial | ||
162.3.f.a.89.1 | 36 | 27.2 | odd | 18 | inner | ||
432.3.bc.c.257.4 | 36 | 12.11 | even | 2 | |||
432.3.bc.c.353.4 | 36 | 108.79 | odd | 18 | |||
1458.3.b.c.1457.6 | 36 | 27.5 | odd | 18 | |||
1458.3.b.c.1457.31 | 36 | 27.22 | even | 9 |