Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(19,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.l (of order \(10\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + 6259 x^{8} - 11958 x^{7} - 15752 x^{6} + 14670 x^{5} + 18271 x^{4} + \cdots + 11105 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | no (minimal twist has level 150) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 289.4 | ||
Root | \(2.17199 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.289 |
Dual form | 450.2.l.c.109.4 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | + | 0.809017i | 0.415627 | + | 0.572061i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | 1.53938 | − | 1.62182i | 0.688432 | − | 0.725301i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.63137i | 1.75049i | 0.483677 | + | 0.875247i | \(0.339301\pi\) | ||||
−0.483677 | + | 0.875247i | \(0.660699\pi\) | |||||||
\(8\) | −0.951057 | + | 0.309017i | −0.336249 | + | 0.109254i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.21691 | + | 0.292102i | 0.701048 | + | 0.0923709i | ||||
\(11\) | −2.05464 | + | 1.49278i | −0.619497 | + | 0.450091i | −0.852746 | − | 0.522326i | \(-0.825064\pi\) |
0.233249 | + | 0.972417i | \(0.425064\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0846260 | − | 0.116478i | 0.0234710 | − | 0.0323051i | −0.797120 | − | 0.603821i | \(-0.793644\pi\) |
0.820591 | + | 0.571516i | \(0.193644\pi\) | |||||||
\(14\) | −3.74686 | + | 2.72225i | −1.00139 | + | 0.727552i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 7.12436 | − | 2.31485i | 1.72791 | − | 0.561433i | 0.734767 | − | 0.678320i | \(-0.237292\pi\) |
0.993145 | + | 0.116887i | \(0.0372915\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.08298 | + | 6.41074i | 0.477867 | + | 1.47072i | 0.842051 | + | 0.539397i | \(0.181348\pi\) |
−0.364184 | + | 0.931327i | \(0.618652\pi\) | |||||||
\(20\) | 1.06675 | + | 1.96521i | 0.238532 | + | 0.439434i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.41537 | − | 0.784803i | −0.514959 | − | 0.167320i | ||||
\(23\) | −0.985910 | − | 1.35699i | −0.205576 | − | 0.282952i | 0.693763 | − | 0.720204i | \(-0.255952\pi\) |
−0.899339 | + | 0.437252i | \(0.855952\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.260613 | − | 4.99320i | −0.0521225 | − | 0.998641i | ||||
\(26\) | 0.143974 | 0.0282357 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.40469 | − | 1.43117i | −0.832409 | − | 0.270466i | ||||
\(29\) | −0.696812 | + | 2.14457i | −0.129395 | + | 0.398236i | −0.994676 | − | 0.103050i | \(-0.967140\pi\) |
0.865281 | + | 0.501287i | \(0.167140\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.310207 | + | 0.954718i | 0.0557148 | + | 0.171472i | 0.975042 | − | 0.222023i | \(-0.0712659\pi\) |
−0.919327 | + | 0.393495i | \(0.871266\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.06035 | + | 4.40310i | 1.03934 | + | 0.755125i | ||||
\(35\) | 7.51126 | + | 7.12944i | 1.26963 | + | 1.20510i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0523017 | + | 0.0719871i | −0.00859835 | + | 0.0118346i | −0.813295 | − | 0.581852i | \(-0.802328\pi\) |
0.804696 | + | 0.593687i | \(0.202328\pi\) | |||||||
\(38\) | −3.96205 | + | 5.45330i | −0.642730 | + | 0.884642i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.962868 | + | 2.01814i | −0.152243 | + | 0.319096i | ||||
\(41\) | 2.48680 | + | 1.80677i | 0.388373 | + | 0.282170i | 0.764789 | − | 0.644281i | \(-0.222843\pi\) |
−0.376415 | + | 0.926451i | \(0.622843\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 9.02860i | − | 1.37685i | −0.725308 | − | 0.688424i | \(-0.758303\pi\) | ||
0.725308 | − | 0.688424i | \(-0.241697\pi\) | |||||||
\(44\) | −0.784803 | − | 2.41537i | −0.118313 | − | 0.364131i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.518324 | − | 1.59524i | 0.0764226 | − | 0.235205i | ||||
\(47\) | −10.3526 | − | 3.36376i | −1.51008 | − | 0.490655i | −0.567141 | − | 0.823620i | \(-0.691951\pi\) |
−0.942939 | + | 0.332965i | \(0.891951\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −14.4496 | −2.06423 | ||||||||
\(50\) | 3.88640 | − | 3.14577i | 0.549620 | − | 0.444879i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0846260 | + | 0.116478i | 0.0117355 | + | 0.0161525i | ||||
\(53\) | −4.72205 | − | 1.53429i | −0.648624 | − | 0.210751i | −0.0338165 | − | 0.999428i | \(-0.510766\pi\) |
−0.614807 | + | 0.788677i | \(0.710766\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.741845 | + | 5.63022i | −0.100030 | + | 0.759179i | ||||
\(56\) | −1.43117 | − | 4.40469i | −0.191248 | − | 0.588602i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.14457 | + | 0.696812i | −0.281596 | + | 0.0914959i | ||||
\(59\) | −4.25029 | − | 3.08802i | −0.553341 | − | 0.402026i | 0.275675 | − | 0.961251i | \(-0.411099\pi\) |
−0.829016 | + | 0.559225i | \(0.811099\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.0841 | − | 8.05305i | 1.41917 | − | 1.03109i | 0.427263 | − | 0.904127i | \(-0.359478\pi\) |
0.991908 | − | 0.126960i | \(-0.0405221\pi\) | |||||||
\(62\) | −0.590048 | + | 0.812131i | −0.0749362 | + | 0.103141i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −0.0586344 | − | 0.316552i | −0.00727270 | − | 0.0392634i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.27491 | − | 2.36376i | 0.888771 | − | 0.288779i | 0.171177 | − | 0.985240i | \(-0.445243\pi\) |
0.717595 | + | 0.696461i | \(0.245243\pi\) | |||||||
\(68\) | 7.49100i | 0.908417i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.35283 | + | 10.2673i | −0.161695 | + | 1.22718i | ||||
\(71\) | 3.17196 | − | 9.76228i | 0.376442 | − | 1.15857i | −0.566059 | − | 0.824365i | \(-0.691532\pi\) |
0.942501 | − | 0.334204i | \(-0.108468\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.15547 | + | 1.59036i | 0.135237 | + | 0.186138i | 0.871264 | − | 0.490814i | \(-0.163301\pi\) |
−0.736027 | + | 0.676952i | \(0.763301\pi\) | |||||||
\(74\) | −0.0889810 | −0.0103438 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.74065 | −0.773206 | ||||||||
\(77\) | −6.91363 | − | 9.51580i | −0.787881 | − | 1.08443i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.230908 | + | 0.710661i | −0.0259792 | + | 0.0799556i | −0.963205 | − | 0.268766i | \(-0.913384\pi\) |
0.937226 | + | 0.348722i | \(0.113384\pi\) | |||||||
\(80\) | −2.19867 | + | 0.407256i | −0.245819 | + | 0.0455326i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.07386i | 0.339451i | ||||||||
\(83\) | 2.95072 | − | 0.958745i | 0.323883 | − | 0.105236i | −0.142563 | − | 0.989786i | \(-0.545534\pi\) |
0.466446 | + | 0.884550i | \(0.345534\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.21284 | − | 15.1179i | 0.782343 | − | 1.63976i | ||||
\(86\) | 7.30429 | − | 5.30688i | 0.787642 | − | 0.572255i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.49278 | − | 2.05464i | 0.159131 | − | 0.219025i | ||||
\(89\) | −0.593709 | + | 0.431355i | −0.0629331 | + | 0.0457236i | −0.618807 | − | 0.785543i | \(-0.712384\pi\) |
0.555874 | + | 0.831267i | \(0.312384\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.539451 | + | 0.391934i | 0.0565498 | + | 0.0410859i | ||||
\(92\) | 1.59524 | − | 0.518324i | 0.166315 | − | 0.0540390i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.36376 | − | 10.3526i | −0.346945 | − | 1.06779i | ||||
\(95\) | 13.6036 | + | 6.49035i | 1.39570 | + | 0.665896i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.67406 | − | 2.81837i | −0.880717 | − | 0.286162i | −0.166462 | − | 0.986048i | \(-0.553234\pi\) |
−0.714255 | + | 0.699886i | \(0.753234\pi\) | |||||||
\(98\) | −8.49326 | − | 11.6900i | −0.857948 | − | 1.18086i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.82935 | + | 1.29513i | 0.482935 | + | 0.129513i | ||||
\(101\) | 2.88013 | 0.286583 | 0.143292 | − | 0.989680i | \(-0.454231\pi\) | ||||
0.143292 | + | 0.989680i | \(0.454231\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.6246 | + | 3.45214i | 1.04687 | + | 0.340149i | 0.781440 | − | 0.623981i | \(-0.214486\pi\) |
0.265432 | + | 0.964130i | \(0.414486\pi\) | |||||||
\(104\) | −0.0444905 | + | 0.136928i | −0.00436265 | + | 0.0134269i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.53429 | − | 4.72205i | −0.149023 | − | 0.458646i | ||||
\(107\) | − | 14.0538i | − | 1.35863i | −0.733846 | − | 0.679316i | \(-0.762277\pi\) | ||
0.733846 | − | 0.679316i | \(-0.237723\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.43552 | + | 3.94914i | 0.520628 | + | 0.378259i | 0.816841 | − | 0.576863i | \(-0.195724\pi\) |
−0.296212 | + | 0.955122i | \(0.595724\pi\) | |||||||
\(110\) | −4.99099 | + | 2.70920i | −0.475872 | + | 0.258312i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.72225 | − | 3.74686i | 0.257229 | − | 0.354045i | ||||
\(113\) | 0.586387 | − | 0.807092i | 0.0551626 | − | 0.0759248i | −0.780545 | − | 0.625100i | \(-0.785058\pi\) |
0.835707 | + | 0.549175i | \(0.185058\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.71849 | − | 0.489952i | −0.346751 | − | 0.0456883i | ||||
\(116\) | −1.82428 | − | 1.32542i | −0.169380 | − | 0.123062i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 5.25365i | − | 0.483638i | ||||||
\(119\) | 10.7209 | + | 32.9956i | 0.982784 | + | 3.02470i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.40604 | + | 4.32736i | −0.127822 | + | 0.393396i | ||||
\(122\) | 13.0301 | + | 4.23374i | 1.17969 | + | 0.383305i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.00385 | −0.0901484 | ||||||||
\(125\) | −8.49927 | − | 7.26377i | −0.760198 | − | 0.649692i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.77227 | − | 9.32123i | −0.600942 | − | 0.827125i | 0.394852 | − | 0.918745i | \(-0.370796\pi\) |
−0.995794 | + | 0.0916192i | \(0.970796\pi\) | |||||||
\(128\) | 0.951057 | + | 0.309017i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.221631 | − | 0.233501i | 0.0194383 | − | 0.0204794i | ||||
\(131\) | 0.551316 | + | 1.69677i | 0.0481687 | + | 0.148248i | 0.972248 | − | 0.233953i | \(-0.0751662\pi\) |
−0.924079 | + | 0.382201i | \(0.875166\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −29.6905 | + | 9.64703i | −2.57449 | + | 0.836504i | ||||
\(134\) | 6.18841 | + | 4.49614i | 0.534597 | + | 0.388407i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.06035 | + | 4.40310i | −0.519670 | + | 0.377563i | ||||
\(137\) | −9.41828 | + | 12.9632i | −0.804658 | + | 1.10752i | 0.187467 | + | 0.982271i | \(0.439972\pi\) |
−0.992126 | + | 0.125246i | \(0.960028\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.99660 | + | 2.17716i | −0.254168 | + | 0.184664i | −0.707572 | − | 0.706641i | \(-0.750210\pi\) |
0.453404 | + | 0.891305i | \(0.350210\pi\) | |||||||
\(140\) | −9.10161 | + | 4.94051i | −0.769226 | + | 0.417549i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.76228 | − | 3.17196i | 0.819232 | − | 0.266185i | ||||
\(143\) | 0.365648i | 0.0305770i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.40545 | + | 4.43141i | 0.199762 | + | 0.368009i | ||||
\(146\) | −0.607465 | + | 1.86958i | −0.0502741 | + | 0.154728i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.0523017 | − | 0.0719871i | −0.00429918 | − | 0.00591731i | ||||
\(149\) | 1.88534 | 0.154453 | 0.0772267 | − | 0.997014i | \(-0.475393\pi\) | ||||
0.0772267 | + | 0.997014i | \(0.475393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.15090 | −0.500553 | −0.250276 | − | 0.968174i | \(-0.580522\pi\) | ||||
−0.250276 | + | 0.968174i | \(0.580522\pi\) | |||||||
\(152\) | −3.96205 | − | 5.45330i | −0.321365 | − | 0.442321i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.63471 | − | 11.1865i | 0.292893 | − | 0.901433i | ||||
\(155\) | 2.02591 | + | 0.966575i | 0.162725 | + | 0.0776371i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 23.4830i | − | 1.87414i | −0.349137 | − | 0.937072i | \(-0.613525\pi\) | ||
0.349137 | − | 0.937072i | \(-0.386475\pi\) | |||||||
\(158\) | −0.710661 | + | 0.230908i | −0.0565372 | + | 0.0183700i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.62182 | − | 1.53938i | −0.128216 | − | 0.121699i | ||||
\(161\) | 6.28472 | − | 4.56611i | 0.495305 | − | 0.359860i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.27366 | − | 12.7641i | 0.726369 | − | 0.999762i | −0.272919 | − | 0.962037i | \(-0.587989\pi\) |
0.999288 | − | 0.0377245i | \(-0.0120109\pi\) | |||||||
\(164\) | −2.48680 | + | 1.80677i | −0.194187 | + | 0.141085i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.51003 | + | 1.82364i | 0.194816 | + | 0.141542i | ||||
\(167\) | −3.84208 | + | 1.24837i | −0.297309 | + | 0.0966016i | −0.453873 | − | 0.891066i | \(-0.649958\pi\) |
0.156564 | + | 0.987668i | \(0.449958\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.01082 | + | 12.3440i | 0.308524 | + | 0.949540i | ||||
\(170\) | 16.4702 | − | 3.05076i | 1.26321 | − | 0.233982i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.58671 | + | 2.78999i | 0.654730 | + | 0.212735i | ||||
\(173\) | −11.8495 | − | 16.3094i | −0.900899 | − | 1.23998i | −0.970180 | − | 0.242384i | \(-0.922070\pi\) |
0.0692809 | − | 0.997597i | \(-0.477930\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 23.1254 | − | 1.20699i | 1.74811 | − | 0.0912402i | ||||
\(176\) | 2.53967 | 0.191435 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.697947 | − | 0.226777i | −0.0523134 | − | 0.0169976i | ||||
\(179\) | −2.39818 | + | 7.38084i | −0.179248 | + | 0.551670i | −0.999802 | − | 0.0198998i | \(-0.993665\pi\) |
0.820554 | + | 0.571570i | \(0.193665\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.64358 | + | 11.2138i | 0.270825 | + | 0.833515i | 0.990294 | + | 0.138990i | \(0.0443855\pi\) |
−0.719469 | + | 0.694525i | \(0.755615\pi\) | |||||||
\(182\) | 0.666798i | 0.0494264i | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.35699 | + | 0.985910i | 0.100039 | + | 0.0726822i | ||||
\(185\) | 0.0362381 | + | 0.195640i | 0.00266427 | + | 0.0143837i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.1824 | + | 15.3913i | −0.817741 | + | 1.12552i | ||||
\(188\) | 6.39825 | − | 8.80644i | 0.466641 | − | 0.642276i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.74517 | + | 14.8205i | 0.199156 | + | 1.07519i | ||||
\(191\) | 3.95155 | + | 2.87097i | 0.285924 | + | 0.207736i | 0.721497 | − | 0.692417i | \(-0.243454\pi\) |
−0.435573 | + | 0.900153i | \(0.643454\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.7342i | 1.34852i | 0.738496 | + | 0.674258i | \(0.235536\pi\) | ||||
−0.738496 | + | 0.674258i | \(0.764464\pi\) | |||||||
\(194\) | −2.81837 | − | 8.67406i | −0.202347 | − | 0.622761i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.46517 | − | 13.7424i | 0.318941 | − | 0.981598i | ||||
\(197\) | 1.19314 | + | 0.387674i | 0.0850075 | + | 0.0276206i | 0.351212 | − | 0.936296i | \(-0.385770\pi\) |
−0.266204 | + | 0.963917i | \(0.585770\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −19.3703 | −1.37312 | −0.686562 | − | 0.727071i | \(-0.740881\pi\) | ||||
−0.686562 | + | 0.727071i | \(0.740881\pi\) | |||||||
\(200\) | 1.79084 | + | 4.66828i | 0.126632 | + | 0.330098i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.69290 | + | 2.33007i | 0.119112 | + | 0.163943i | ||||
\(203\) | −9.93229 | − | 3.22720i | −0.697110 | − | 0.226505i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.75839 | − | 1.25185i | 0.472027 | − | 0.0874328i | ||||
\(206\) | 3.45214 | + | 10.6246i | 0.240522 | + | 0.740250i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.136928 | + | 0.0444905i | −0.00949423 | + | 0.00308486i | ||||
\(209\) | −13.8496 | − | 10.0623i | −0.957997 | − | 0.696026i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.01062 | − | 0.734260i | 0.0695741 | − | 0.0505485i | −0.552455 | − | 0.833543i | \(-0.686309\pi\) |
0.622029 | + | 0.782994i | \(0.286309\pi\) | |||||||
\(212\) | 2.91839 | − | 4.01682i | 0.200436 | − | 0.275876i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.3698 | − | 8.26061i | 0.777221 | − | 0.564684i | ||||
\(215\) | −14.6428 | − | 13.8985i | −0.998629 | − | 0.947867i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.42165 | + | 1.43668i | −0.300161 | + | 0.0975283i | ||||
\(218\) | 6.71867i | 0.455046i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.12542 | − | 2.44537i | −0.345556 | − | 0.164867i | ||||
\(221\) | 0.333278 | − | 1.02573i | 0.0224187 | − | 0.0689978i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.8640 | + | 17.7058i | 0.861437 | + | 1.18567i | 0.981225 | + | 0.192867i | \(0.0617787\pi\) |
−0.119788 | + | 0.992800i | \(0.538221\pi\) | |||||||
\(224\) | 4.63137 | 0.309446 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.997621 | 0.0663607 | ||||||||
\(227\) | 8.52486 | + | 11.7335i | 0.565815 | + | 0.778777i | 0.992051 | − | 0.125835i | \(-0.0401609\pi\) |
−0.426237 | + | 0.904612i | \(0.640161\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.45262 | + | 4.47071i | −0.0959920 | + | 0.295433i | −0.987511 | − | 0.157550i | \(-0.949640\pi\) |
0.891519 | + | 0.452983i | \(0.149640\pi\) | |||||||
\(230\) | −1.78929 | − | 3.29630i | −0.117982 | − | 0.217352i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 2.25493i | − | 0.148044i | ||||||
\(233\) | 11.2403 | − | 3.65218i | 0.736374 | − | 0.239262i | 0.0832661 | − | 0.996527i | \(-0.473465\pi\) |
0.653108 | + | 0.757265i | \(0.273465\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −21.3920 | + | 11.6119i | −1.39546 | + | 0.757480i | ||||
\(236\) | 4.25029 | − | 3.08802i | 0.276671 | − | 0.201013i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −20.3924 | + | 28.0677i | −1.32184 | + | 1.81936i | ||||
\(239\) | −7.85849 | + | 5.70953i | −0.508324 | + | 0.369319i | −0.812187 | − | 0.583397i | \(-0.801723\pi\) |
0.303864 | + | 0.952716i | \(0.401723\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.40451 | − | 3.92661i | −0.348135 | − | 0.252935i | 0.399951 | − | 0.916537i | \(-0.369027\pi\) |
−0.748086 | + | 0.663601i | \(0.769027\pi\) | |||||||
\(242\) | −4.32736 | + | 1.40604i | −0.278173 | + | 0.0903839i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.23374 | + | 13.0301i | 0.271037 | + | 0.834168i | ||||
\(245\) | −22.2434 | + | 23.4347i | −1.42108 | + | 1.49719i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.922982 | + | 0.299895i | 0.0587279 | + | 0.0190819i | ||||
\(248\) | −0.590048 | − | 0.812131i | −0.0374681 | − | 0.0515704i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.880772 | − | 11.1456i | 0.0557049 | − | 0.704909i | ||||
\(251\) | 19.6023 | 1.23729 | 0.618644 | − | 0.785672i | \(-0.287683\pi\) | ||||
0.618644 | + | 0.785672i | \(0.287683\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.05138 | + | 1.31637i | 0.254708 | + | 0.0827597i | ||||
\(254\) | 3.56039 | − | 10.9578i | 0.223399 | − | 0.687551i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | − | 9.46931i | − | 0.590679i | −0.955392 | − | 0.295340i | \(-0.904567\pi\) | ||
0.955392 | − | 0.295340i | \(-0.0954328\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.333399 | − | 0.242229i | −0.0207164 | − | 0.0150514i | ||||
\(260\) | 0.319178 | + | 0.0420552i | 0.0197946 | + | 0.00260815i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.04866 | + | 1.44336i | −0.0647867 | + | 0.0891713i | ||||
\(263\) | −12.4296 | + | 17.1079i | −0.766441 | + | 1.05492i | 0.230210 | + | 0.973141i | \(0.426059\pi\) |
−0.996651 | + | 0.0817747i | \(0.973941\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.75738 | + | 5.29647i | −0.599391 | + | 0.325360i | ||||
\(266\) | −25.2563 | − | 18.3497i | −1.54856 | − | 1.12509i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.64929i | 0.467255i | ||||||||
\(269\) | −0.603355 | − | 1.85694i | −0.0367872 | − | 0.113219i | 0.930977 | − | 0.365079i | \(-0.118958\pi\) |
−0.967764 | + | 0.251859i | \(0.918958\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.91521 | + | 15.1274i | −0.298577 | + | 0.918927i | 0.683419 | + | 0.730027i | \(0.260492\pi\) |
−0.981996 | + | 0.188900i | \(0.939508\pi\) | |||||||
\(272\) | −7.12436 | − | 2.31485i | −0.431978 | − | 0.140358i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.0233 | −0.968006 | ||||||||
\(275\) | 7.98924 | + | 9.87020i | 0.481769 | + | 0.595195i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.16998 | + | 1.61033i | 0.0702970 | + | 0.0967555i | 0.842718 | − | 0.538356i | \(-0.180954\pi\) |
−0.772421 | + | 0.635111i | \(0.780954\pi\) | |||||||
\(278\) | −3.52272 | − | 1.14460i | −0.211278 | − | 0.0686485i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.34675 | − | 4.45940i | −0.558575 | − | 0.266500i | ||||
\(281\) | 7.78302 | + | 23.9537i | 0.464296 | + | 1.42896i | 0.859866 | + | 0.510521i | \(0.170547\pi\) |
−0.395569 | + | 0.918436i | \(0.629453\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.7090 | − | 3.47958i | 0.636586 | − | 0.206839i | 0.0270957 | − | 0.999633i | \(-0.491374\pi\) |
0.609490 | + | 0.792794i | \(0.291374\pi\) | |||||||
\(284\) | 8.30429 | + | 6.03342i | 0.492769 | + | 0.358018i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.295815 | + | 0.214922i | −0.0174919 | + | 0.0127086i | ||||
\(287\) | −8.36781 | + | 11.5173i | −0.493936 | + | 0.679845i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.6448 | − | 22.9913i | 1.86146 | − | 1.35243i | ||||
\(290\) | −2.17120 | + | 4.55077i | −0.127497 | + | 0.267230i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.86958 | + | 0.607465i | −0.109409 | + | 0.0355492i | ||||
\(293\) | 20.0482i | 1.17123i | 0.810591 | + | 0.585613i | \(0.199146\pi\) | ||||
−0.810591 | + | 0.585613i | \(0.800854\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.5510 | + | 2.13958i | −0.672527 | + | 0.124571i | ||||
\(296\) | 0.0274966 | − | 0.0846260i | 0.00159821 | − | 0.00491878i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.10818 | + | 1.52528i | 0.0641950 | + | 0.0883569i | ||||
\(299\) | −0.241492 | −0.0139659 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 41.8148 | 2.41016 | ||||||||
\(302\) | −3.61541 | − | 4.97618i | −0.208043 | − | 0.286347i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.08298 | − | 6.41074i | 0.119467 | − | 0.367681i | ||||
\(305\) | 4.00200 | − | 30.3731i | 0.229154 | − | 1.73916i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 14.4493i | − | 0.824668i | −0.911033 | − | 0.412334i | \(-0.864714\pi\) | ||
0.911033 | − | 0.412334i | \(-0.135286\pi\) | |||||||
\(308\) | 11.1865 | − | 3.63471i | 0.637410 | − | 0.207107i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.408824 | + | 2.20713i | 0.0232196 | + | 0.125357i | ||||
\(311\) | −19.0778 | + | 13.8608i | −1.08180 | + | 0.785977i | −0.977997 | − | 0.208621i | \(-0.933103\pi\) |
−0.103807 | + | 0.994597i | \(0.533103\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.1598 | − | 22.2420i | 0.913405 | − | 1.25719i | −0.0525858 | − | 0.998616i | \(-0.516746\pi\) |
0.965991 | − | 0.258577i | \(-0.0832537\pi\) | |||||||
\(314\) | 18.9981 | − | 13.8029i | 1.07213 | − | 0.778945i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.604525 | − | 0.439213i | −0.0340072 | − | 0.0247077i | ||||
\(317\) | 5.74985 | − | 1.86824i | 0.322944 | − | 0.104931i | −0.143059 | − | 0.989714i | \(-0.545694\pi\) |
0.466002 | + | 0.884783i | \(0.345694\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.76968 | − | 5.44650i | −0.0990829 | − | 0.304946i | ||||
\(320\) | 0.292102 | − | 2.21691i | 0.0163290 | − | 0.123929i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.38813 | + | 2.40055i | 0.411724 | + | 0.133777i | ||||
\(323\) | 29.6798 | + | 40.8507i | 1.65143 | + | 2.27299i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.603651 | − | 0.392199i | −0.0334845 | − | 0.0217553i | ||||
\(326\) | 15.7773 | 0.873824 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.92341 | − | 0.949874i | −0.161418 | − | 0.0524480i | ||||
\(329\) | 15.5788 | − | 47.9467i | 0.858888 | − | 2.64339i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.23211 | + | 16.1028i | 0.287583 | + | 0.885089i | 0.985613 | + | 0.169020i | \(0.0540603\pi\) |
−0.698030 | + | 0.716069i | \(0.745940\pi\) | |||||||
\(332\) | 3.10257i | 0.170275i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.26827 | − | 2.37454i | −0.178832 | − | 0.129929i | ||||
\(335\) | 7.36525 | − | 15.4373i | 0.402407 | − | 0.843432i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.3205 | + | 18.3341i | −0.725616 | + | 0.998724i | 0.273703 | + | 0.961814i | \(0.411751\pi\) |
−0.999319 | + | 0.0369100i | \(0.988249\pi\) | |||||||
\(338\) | −7.62902 | + | 10.5005i | −0.414964 | + | 0.571149i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.1491 | + | 11.5315i | 0.658876 | + | 0.625384i | ||||
\(341\) | −2.06255 | − | 1.49853i | −0.111693 | − | 0.0811500i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 34.5018i | − | 1.86292i | ||||||
\(344\) | 2.78999 | + | 8.58671i | 0.150426 | + | 0.462964i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.22964 | − | 19.1729i | 0.334908 | − | 1.03074i | ||||
\(347\) | 9.75025 | + | 3.16805i | 0.523421 | + | 0.170070i | 0.558797 | − | 0.829304i | \(-0.311263\pi\) |
−0.0353763 | + | 0.999374i | \(0.511263\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.38746 | −0.0742691 | −0.0371346 | − | 0.999310i | \(-0.511823\pi\) | ||||
−0.0371346 | + | 0.999310i | \(0.511823\pi\) | |||||||
\(350\) | 14.5692 | + | 17.9994i | 0.778758 | + | 0.962107i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.49278 | + | 2.05464i | 0.0795656 | + | 0.109513i | ||||
\(353\) | 12.2858 | + | 3.99189i | 0.653906 | + | 0.212467i | 0.617136 | − | 0.786857i | \(-0.288293\pi\) |
0.0367706 | + | 0.999324i | \(0.488293\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.9498 | − | 20.1722i | −0.581156 | − | 1.07063i | ||||
\(356\) | −0.226777 | − | 0.697947i | −0.0120191 | − | 0.0369911i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.38084 | + | 2.39818i | −0.390089 | + | 0.126748i | ||||
\(359\) | −7.98876 | − | 5.80417i | −0.421630 | − | 0.306332i | 0.356663 | − | 0.934233i | \(-0.383914\pi\) |
−0.778294 | + | 0.627901i | \(0.783914\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −21.3875 | + | 15.5389i | −1.12566 | + | 0.817837i | ||||
\(362\) | −6.93051 | + | 9.53902i | −0.364259 | + | 0.501360i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.539451 | + | 0.391934i | −0.0282749 | + | 0.0205429i | ||||
\(365\) | 4.35799 | + | 0.574214i | 0.228108 | + | 0.0300557i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.05886 | + | 1.64372i | −0.264070 | + | 0.0858016i | −0.438060 | − | 0.898946i | \(-0.644334\pi\) |
0.173989 | + | 0.984748i | \(0.444334\pi\) | |||||||
\(368\) | 1.67733i | 0.0874369i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.136976 | + | 0.144311i | −0.00712103 | + | 0.00750239i | ||||
\(371\) | 7.10585 | − | 21.8696i | 0.368918 | − | 1.13541i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.69246 | − | 7.83499i | −0.294744 | − | 0.405681i | 0.635804 | − | 0.771851i | \(-0.280669\pi\) |
−0.930548 | + | 0.366170i | \(0.880669\pi\) | |||||||
\(374\) | −19.0247 | −0.983744 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.8854 | 0.561369 | ||||||||
\(377\) | 0.190826 | + | 0.262649i | 0.00982803 | + | 0.0135271i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.95968 | − | 21.4197i | 0.357495 | − | 1.10026i | −0.597054 | − | 0.802201i | \(-0.703662\pi\) |
0.954549 | − | 0.298055i | \(-0.0963379\pi\) | |||||||
\(380\) | −10.3764 | + | 10.9321i | −0.532300 | + | 0.560807i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.88438i | 0.249907i | ||||||||
\(383\) | 6.85864 | − | 2.22851i | 0.350460 | − | 0.113871i | −0.128497 | − | 0.991710i | \(-0.541015\pi\) |
0.478957 | + | 0.877839i | \(0.341015\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.0756 | − | 3.43576i | −1.32894 | − | 0.175102i | ||||
\(386\) | −15.1563 | + | 11.0117i | −0.771434 | + | 0.560479i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.36086 | − | 7.37859i | 0.272157 | − | 0.374591i | ||||
\(389\) | −10.7139 | + | 7.78411i | −0.543217 | + | 0.394670i | −0.825278 | − | 0.564726i | \(-0.808982\pi\) |
0.282062 | + | 0.959396i | \(0.408982\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.1652 | − | 7.38545i | −0.514076 | − | 0.373498i | ||||
\(392\) | 13.7424 | − | 4.46517i | 0.694095 | − | 0.225525i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.387674 | + | 1.19314i | 0.0195307 | + | 0.0601094i | ||||
\(395\) | 0.797111 | + | 1.46847i | 0.0401070 | + | 0.0738867i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −27.8304 | − | 9.04265i | −1.39677 | − | 0.453838i | −0.488624 | − | 0.872494i | \(-0.662501\pi\) |
−0.908144 | + | 0.418657i | \(0.862501\pi\) | |||||||
\(398\) | −11.3856 | − | 15.6709i | −0.570707 | − | 0.785511i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.72409 | + | 4.19277i | −0.136205 | + | 0.209639i | ||||
\(401\) | −27.4005 | −1.36832 | −0.684158 | − | 0.729334i | \(-0.739830\pi\) | ||||
−0.684158 | + | 0.729334i | \(0.739830\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.137455 | + | 0.0446618i | 0.00684711 | + | 0.00222476i | ||||
\(404\) | −0.890008 | + | 2.73916i | −0.0442796 | + | 0.136279i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.22720 | − | 9.93229i | −0.160163 | − | 0.492931i | ||||
\(407\) | − | 0.225983i | − | 0.0112016i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.09226 | + | 5.87937i | 0.400137 | + | 0.290716i | 0.769597 | − | 0.638530i | \(-0.220457\pi\) |
−0.369460 | + | 0.929247i | \(0.620457\pi\) | |||||||
\(410\) | 4.98525 | + | 4.73184i | 0.246204 | + | 0.233689i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.56635 | + | 9.03781i | −0.323501 | + | 0.445261i | ||||
\(413\) | 14.3018 | − | 19.6847i | 0.703744 | − | 0.968620i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.98736 | − | 6.26141i | 0.146644 | − | 0.307360i | ||||
\(416\) | −0.116478 | − | 0.0846260i | −0.00571079 | − | 0.00414913i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 17.1191i | − | 0.837320i | ||||||
\(419\) | −2.48795 | − | 7.65713i | −0.121544 | − | 0.374075i | 0.871711 | − | 0.490020i | \(-0.163010\pi\) |
−0.993256 | + | 0.115945i | \(0.963010\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.10662 | − | 9.56120i | 0.151408 | − | 0.465984i | −0.846372 | − | 0.532593i | \(-0.821218\pi\) |
0.997779 | + | 0.0666083i | \(0.0212178\pi\) | |||||||
\(422\) | 1.18806 | + | 0.386023i | 0.0578337 | + | 0.0187913i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.96506 | 0.241125 | ||||||||
\(425\) | −13.4152 | − | 34.9701i | −0.650733 | − | 1.69630i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 37.2967 | + | 51.3345i | 1.80491 | + | 2.48425i | ||||
\(428\) | 13.3660 | + | 4.34286i | 0.646068 | + | 0.209920i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.63727 | − | 20.0156i | 0.127181 | − | 0.965236i | ||||
\(431\) | −7.09793 | − | 21.8452i | −0.341895 | − | 1.05225i | −0.963225 | − | 0.268697i | \(-0.913407\pi\) |
0.621329 | − | 0.783549i | \(-0.286593\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.1156 | − | 5.56121i | 0.822525 | − | 0.267254i | 0.132631 | − | 0.991165i | \(-0.457657\pi\) |
0.689893 | + | 0.723911i | \(0.257657\pi\) | |||||||
\(434\) | −3.76128 | − | 2.73273i | −0.180547 | − | 0.131175i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.43552 | + | 3.94914i | −0.260314 | + | 0.189129i | ||||
\(437\) | 6.64567 | − | 9.14699i | 0.317906 | − | 0.437560i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.1610 | + | 15.3743i | −1.00996 | + | 0.733777i | −0.964200 | − | 0.265176i | \(-0.914570\pi\) |
−0.0457572 | + | 0.998953i | \(0.514570\pi\) | |||||||
\(440\) | −1.03430 | − | 5.58390i | −0.0493082 | − | 0.266202i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.02573 | − | 0.333278i | 0.0487888 | − | 0.0158524i | ||||
\(443\) | − | 40.5689i | − | 1.92749i | −0.266833 | − | 0.963743i | \(-0.585977\pi\) | ||
0.266833 | − | 0.963743i | \(-0.414023\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.214364 | + | 1.62691i | −0.0101618 | + | 0.0771230i | ||||
\(446\) | −6.76301 | + | 20.8144i | −0.320238 | + | 0.985590i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.72225 | + | 3.74686i | 0.128614 | + | 0.177022i | ||||
\(449\) | −23.1589 | −1.09294 | −0.546468 | − | 0.837480i | \(-0.684028\pi\) | ||||
−0.546468 | + | 0.837480i | \(0.684028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.80660 | −0.367598 | ||||||||
\(452\) | 0.586387 | + | 0.807092i | 0.0275813 | + | 0.0379624i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.48178 | + | 13.7935i | −0.210340 | + | 0.647361i | ||||
\(455\) | 1.46607 | − | 0.271558i | 0.0687303 | − | 0.0127308i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 38.3997i | − | 1.79626i | −0.439728 | − | 0.898131i | \(-0.644925\pi\) | ||
0.439728 | − | 0.898131i | \(-0.355075\pi\) | |||||||
\(458\) | −4.47071 | + | 1.45262i | −0.208903 | + | 0.0678766i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.61505 | − | 3.38509i | 0.0753020 | − | 0.157830i | ||||
\(461\) | −26.3670 | + | 19.1567i | −1.22803 | + | 0.892217i | −0.996741 | − | 0.0806677i | \(-0.974295\pi\) |
−0.231290 | + | 0.972885i | \(0.574295\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.49167 | − | 2.05311i | 0.0693238 | − | 0.0954160i | −0.772947 | − | 0.634470i | \(-0.781218\pi\) |
0.842271 | + | 0.539054i | \(0.181218\pi\) | |||||||
\(464\) | 1.82428 | − | 1.32542i | 0.0846900 | − | 0.0615309i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.56154 | + | 6.94686i | 0.442930 | + | 0.321807i | ||||
\(467\) | 1.42329 | − | 0.462456i | 0.0658622 | − | 0.0213999i | −0.275901 | − | 0.961186i | \(-0.588976\pi\) |
0.341763 | + | 0.939786i | \(0.388976\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.9475 | + | 33.6928i | 0.505506 | + | 1.55579i | ||||
\(470\) | −21.9682 | − | 10.4812i | −1.01332 | − | 0.483460i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.99652 | + | 1.62347i | 0.229983 | + | 0.0747262i | ||||
\(473\) | 13.4777 | + | 18.5505i | 0.619707 | + | 0.852954i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 31.4673 | − | 12.0714i | 1.44382 | − | 0.553876i | ||||
\(476\) | −34.6936 | −1.59018 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.23821 | − | 3.00168i | −0.422546 | − | 0.137294i | ||||
\(479\) | 7.50880 | − | 23.1097i | 0.343086 | − | 1.05591i | −0.619514 | − | 0.784985i | \(-0.712670\pi\) |
0.962600 | − | 0.270925i | \(-0.0873295\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.00395881 | + | 0.0121840i | 0.000180506 | + | 0.000555541i | ||||
\(482\) | − | 6.68035i | − | 0.304281i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.68107 | − | 2.67445i | −0.167321 | − | 0.121566i | ||||
\(485\) | −17.9236 | + | 9.72923i | −0.813868 | + | 0.441782i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.87877 | + | 8.09143i | −0.266392 | + | 0.366658i | −0.921168 | − | 0.389166i | \(-0.872763\pi\) |
0.654775 | + | 0.755824i | \(0.272763\pi\) | |||||||
\(488\) | −8.05305 | + | 11.0841i | −0.364545 | + | 0.501753i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −32.0334 | − | 4.22076i | −1.44712 | − | 0.190674i | ||||
\(491\) | 3.38163 | + | 2.45690i | 0.152611 | + | 0.110878i | 0.661470 | − | 0.749971i | \(-0.269933\pi\) |
−0.508860 | + | 0.860850i | \(0.669933\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 16.8917i | 0.760764i | ||||||||
\(494\) | 0.299895 | + | 0.922982i | 0.0134929 | + | 0.0415269i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.310207 | − | 0.954718i | 0.0139287 | − | 0.0428681i | ||||
\(497\) | 45.2127 | + | 14.6905i | 2.02807 | + | 0.658959i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.70548 | −0.0763476 | −0.0381738 | − | 0.999271i | \(-0.512154\pi\) | ||||
−0.0381738 | + | 0.999271i | \(0.512154\pi\) | |||||||
\(500\) | 9.53468 | − | 5.83866i | 0.426404 | − | 0.261113i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.5220 | + | 15.8586i | 0.514250 | + | 0.707804i | ||||
\(503\) | −29.4265 | − | 9.56125i | −1.31206 | − | 0.426315i | −0.432301 | − | 0.901729i | \(-0.642298\pi\) |
−0.879762 | + | 0.475414i | \(0.842298\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.43361 | − | 4.67105i | 0.197293 | − | 0.207859i | ||||
\(506\) | 1.31637 | + | 4.05138i | 0.0585199 | + | 0.180106i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.9578 | − | 3.56039i | 0.486172 | − | 0.157967i | ||||
\(509\) | 29.2182 | + | 21.2283i | 1.29507 | + | 0.940926i | 0.999895 | − | 0.0145162i | \(-0.00462080\pi\) |
0.295179 | + | 0.955442i | \(0.404621\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.36556 | + | 5.35139i | −0.325833 | + | 0.236732i | ||||
\(512\) | −0.587785 | + | 0.809017i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.66083 | − | 5.56592i | 0.337905 | − | 0.245502i | ||||
\(515\) | 21.9540 | − | 11.9170i | 0.967410 | − | 0.525127i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 26.2922 | − | 8.54286i | 1.15633 | − | 0.375714i | ||||
\(518\) | − | 0.412104i | − | 0.0181068i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.153584 | + | 0.282940i | 0.00673513 | + | 0.0124077i | ||||
\(521\) | −1.38131 | + | 4.25122i | −0.0605161 | + | 0.186249i | −0.976744 | − | 0.214407i | \(-0.931218\pi\) |
0.916228 | + | 0.400657i | \(0.131218\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.0150 | − | 24.7955i | −0.787741 | − | 1.08423i | −0.994386 | − | 0.105817i | \(-0.966254\pi\) |
0.206644 | − | 0.978416i | \(-0.433746\pi\) | |||||||
\(524\) | −1.78409 | −0.0779385 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.1465 | −0.922030 | ||||||||
\(527\) | 4.42005 | + | 6.08368i | 0.192540 | + | 0.265009i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.23799 | − | 19.1986i | 0.271217 | − | 0.834720i | ||||
\(530\) | −10.0202 | − | 4.78070i | −0.435249 | − | 0.207660i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 31.2184i | − | 1.35349i | ||||||
\(533\) | 0.420896 | − | 0.136757i | 0.0182310 | − | 0.00592362i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −22.7928 | − | 21.6341i | −0.985417 | − | 0.935326i | ||||
\(536\) | −6.18841 | + | 4.49614i | −0.267298 | + | 0.194204i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.14765 | − | 1.57960i | 0.0494787 | − | 0.0681016i | ||||
\(539\) | 29.6887 | − | 21.5701i | 1.27878 | − | 0.929090i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.9065 | − | 8.65055i | −0.511899 | − | 0.371916i | 0.301645 | − | 0.953420i | \(-0.402464\pi\) |
−0.813543 | + | 0.581504i | \(0.802464\pi\) | |||||||
\(542\) | −15.1274 | + | 4.91521i | −0.649780 | + | 0.211126i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.31485 | − | 7.12436i | −0.0992482 | − | 0.305455i | ||||
\(545\) | 14.7721 | − | 2.73622i | 0.632769 | − | 0.117207i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.1457 | + | 3.29653i | 0.433798 | + | 0.140950i | 0.517773 | − | 0.855518i | \(-0.326761\pi\) |
−0.0839742 | + | 0.996468i | \(0.526761\pi\) | |||||||
\(548\) | −9.41828 | − | 12.9632i | −0.402329 | − | 0.553759i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.28920 | + | 12.2650i | −0.140252 | + | 0.522981i | ||||
\(551\) | −15.1997 | −0.647529 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.29134 | − | 1.06942i | −0.139962 | − | 0.0454764i | ||||
\(554\) | −0.615092 | + | 1.89306i | −0.0261328 | + | 0.0804284i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.14460 | − | 3.52272i | −0.0485418 | − | 0.149396i | ||||
\(557\) | 16.1652i | 0.684942i | 0.939528 | + | 0.342471i | \(0.111264\pi\) | ||||
−0.939528 | + | 0.342471i | \(0.888736\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.05163 | − | 0.764054i | −0.0444792 | − | 0.0323160i | ||||
\(560\) | −1.88615 | − | 10.1828i | −0.0797045 | − | 0.430304i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.8042 | + | 20.3762i | −0.624477 | + | 0.859519i | ||||
\(563\) | 25.5559 | − | 35.1746i | 1.07705 | − | 1.48243i | 0.214326 | − | 0.976762i | \(-0.431245\pi\) |
0.862726 | − | 0.505672i | \(-0.168755\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.406287 | − | 2.19344i | −0.0170926 | − | 0.0922786i | ||||
\(566\) | 9.10965 | + | 6.61855i | 0.382907 | + | 0.278198i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.2647i | 0.430696i | ||||||||
\(569\) | 3.71683 | + | 11.4392i | 0.155818 | + | 0.479558i | 0.998243 | − | 0.0592558i | \(-0.0188728\pi\) |
−0.842425 | + | 0.538813i | \(0.818873\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.80332 | − | 17.8608i | 0.242861 | − | 0.747450i | −0.753120 | − | 0.657884i | \(-0.771452\pi\) |
0.995981 | − | 0.0895664i | \(-0.0285481\pi\) | |||||||
\(572\) | −0.347752 | − | 0.112991i | −0.0145402 | − | 0.00472441i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −14.2362 | −0.594206 | ||||||||
\(575\) | −6.51878 | + | 5.27650i | −0.271852 | + | 0.220045i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.4817 | − | 17.1796i | −0.519619 | − | 0.715195i | 0.465885 | − | 0.884845i | \(-0.345736\pi\) |
−0.985504 | + | 0.169651i | \(0.945736\pi\) | |||||||
\(578\) | 37.2007 | + | 12.0872i | 1.54734 | + | 0.502762i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.95785 | + | 0.918335i | −0.205863 | + | 0.0381318i | ||||
\(581\) | 4.44031 | + | 13.6659i | 0.184215 | + | 0.566955i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.9925 | − | 3.89659i | 0.496678 | − | 0.161380i | ||||
\(584\) | −1.59036 | − | 1.15547i | −0.0658097 | − | 0.0478135i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.2193 | + | 11.7840i | −0.670013 | + | 0.486793i | ||||
\(587\) | −19.1781 | + | 26.3964i | −0.791566 | + | 1.08950i | 0.202345 | + | 0.979314i | \(0.435144\pi\) |
−0.993911 | + | 0.110183i | \(0.964856\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.47429 | + | 3.97731i | −0.225564 | + | 0.163882i | ||||
\(590\) | −8.52049 | − | 8.08737i | −0.350783 | − | 0.332952i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.0846260 | − | 0.0274966i | 0.00347811 | − | 0.00113011i | ||||
\(593\) | 0.911868i | 0.0374460i | 0.999825 | + | 0.0187230i | \(0.00596006\pi\) | ||||
−0.999825 | + | 0.0187230i | \(0.994040\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 70.0165 | + | 33.4053i | 2.87040 | + | 1.36949i | ||||
\(596\) | −0.582604 | + | 1.79307i | −0.0238644 | + | 0.0734470i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.141946 | − | 0.195371i | −0.00580459 | − | 0.00798933i | ||||
\(599\) | −35.5516 | −1.45260 | −0.726300 | − | 0.687378i | \(-0.758762\pi\) | ||||
−0.726300 | + | 0.687378i | \(0.758762\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −42.8608 | −1.74833 | −0.874164 | − | 0.485630i | \(-0.838590\pi\) | ||||
−0.874164 | + | 0.485630i | \(0.838590\pi\) | |||||||
\(602\) | 24.5781 | + | 33.8289i | 1.00173 | + | 1.37876i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.90073 | − | 5.84985i | 0.0773397 | − | 0.238027i | ||||
\(605\) | 4.85377 | + | 8.94180i | 0.197334 | + | 0.363536i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 47.7389i | 1.93766i | 0.247724 | + | 0.968831i | \(0.420317\pi\) | ||||
−0.247724 | + | 0.968831i | \(0.579683\pi\) | |||||||
\(608\) | 6.41074 | − | 2.08298i | 0.259990 | − | 0.0844758i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 26.9247 | − | 14.6152i | 1.09015 | − | 0.591752i | ||||
\(611\) | −1.26790 | + | 0.921184i | −0.0512938 | + | 0.0372671i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.4025 | + | 19.8234i | −0.581713 | + | 0.800660i | −0.993882 | − | 0.110448i | \(-0.964771\pi\) |
0.412169 | + | 0.911108i | \(0.364771\pi\) | |||||||
\(614\) | 11.6898 | − | 8.49311i | 0.471761 | − | 0.342754i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.51580 | + | 6.91363i | 0.383402 | + | 0.278558i | ||||
\(617\) | 2.49230 | − | 0.809796i | 0.100336 | − | 0.0326012i | −0.258419 | − | 0.966033i | \(-0.583201\pi\) |
0.358755 | + | 0.933432i | \(0.383201\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.08751 | + | 6.42470i | 0.0839041 | + | 0.258230i | 0.984204 | − | 0.177041i | \(-0.0566525\pi\) |
−0.900299 | + | 0.435271i | \(0.856652\pi\) | |||||||
\(620\) | −1.54531 | + | 1.62807i | −0.0620610 | + | 0.0653847i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −22.4273 | − | 7.28708i | −0.899254 | − | 0.292185i | ||||
\(623\) | −1.99777 | − | 2.74969i | −0.0800388 | − | 0.110164i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.8642 | + | 2.60258i | −0.994566 | + | 0.104103i | ||||
\(626\) | 27.4927 | 1.09883 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 22.3336 | + | 7.25663i | 0.891208 | + | 0.289571i | ||||
\(629\) | −0.205977 | + | 0.633933i | −0.00821285 | + | 0.0252766i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.31855 | − | 28.6796i | −0.370966 | − | 1.14172i | −0.946160 | − | 0.323699i | \(-0.895074\pi\) |
0.575194 | − | 0.818017i | \(-0.304926\pi\) | |||||||
\(632\) | − | 0.747233i | − | 0.0297234i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.89111 | + | 3.55360i | 0.194251 | + | 0.141132i | ||||
\(635\) | −25.5425 | − | 3.36551i | −1.01362 | − | 0.133556i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.22281 | + | 1.68305i | −0.0484495 | + | 0.0666850i | ||||
\(638\) | 3.36612 | − | 4.63307i | 0.133266 | − | 0.183425i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.96521 | − | 1.06675i | 0.0776817 | − | 0.0421670i | ||||
\(641\) | 16.6059 | + | 12.0649i | 0.655892 | + | 0.476534i | 0.865273 | − | 0.501301i | \(-0.167145\pi\) |
−0.209381 | + | 0.977834i | \(0.567145\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 33.4413i | 1.31880i | 0.751793 | + | 0.659399i | \(0.229189\pi\) | ||||
−0.751793 | + | 0.659399i | \(0.770811\pi\) | |||||||
\(644\) | 2.40055 | + | 7.38813i | 0.0945949 | + | 0.291133i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.6036 | + | 48.0228i | −0.613914 | + | 1.88943i | ||||
\(647\) | −17.2006 | − | 5.58881i | −0.676224 | − | 0.219719i | −0.0492828 | − | 0.998785i | \(-0.515694\pi\) |
−0.626942 | + | 0.779066i | \(0.715694\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.3426 | 0.523742 | ||||||||
\(650\) | −0.0375215 | − | 0.718893i | −0.00147172 | − | 0.0281973i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.27366 | + | 12.7641i | 0.363185 | + | 0.499881i | ||||
\(653\) | 29.4770 | + | 9.57766i | 1.15352 | + | 0.374803i | 0.822470 | − | 0.568809i | \(-0.192596\pi\) |
0.331055 | + | 0.943612i | \(0.392596\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.60055 | + | 1.71785i | 0.140685 | + | 0.0671218i | ||||
\(656\) | −0.949874 | − | 2.92341i | −0.0370864 | − | 0.114140i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 47.9467 | − | 15.5788i | 1.86916 | − | 0.607326i | ||||
\(659\) | 17.4953 | + | 12.7110i | 0.681519 | + | 0.495152i | 0.873861 | − | 0.486176i | \(-0.161608\pi\) |
−0.192343 | + | 0.981328i | \(0.561608\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 29.7396 | − | 21.6071i | 1.15674 | − | 0.840418i | 0.167374 | − | 0.985893i | \(-0.446471\pi\) |
0.989362 | + | 0.145476i | \(0.0464713\pi\) | |||||||
\(662\) | −9.95207 | + | 13.6978i | −0.386798 | + | 0.532382i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.51003 | + | 1.82364i | −0.0974080 | + | 0.0707710i | ||||
\(665\) | −30.0592 | + | 63.0032i | −1.16565 | + | 2.44316i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.59715 | − | 1.16878i | 0.139282 | − | 0.0452555i | ||||
\(668\) | − | 4.03980i | − | 0.156305i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 16.8183 | − | 3.11522i | 0.649746 | − | 0.120351i | ||||
\(671\) | −10.7523 | + | 33.0923i | −0.415089 | + | 1.27751i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.1235 | + | 24.9448i | 0.698608 | + | 0.961552i | 0.999968 | + | 0.00804101i | \(0.00255956\pi\) |
−0.301360 | + | 0.953511i | \(0.597440\pi\) | |||||||
\(674\) | −22.6622 | −0.872917 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.9793 | −0.499203 | ||||||||
\(677\) | −15.1708 | − | 20.8808i | −0.583061 | − | 0.802515i | 0.410966 | − | 0.911651i | \(-0.365192\pi\) |
−0.994027 | + | 0.109136i | \(0.965192\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.0529 | − | 40.1728i | 0.500925 | − | 1.54169i | ||||
\(680\) | −2.18814 | + | 16.6068i | −0.0839113 | + | 0.636844i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 2.54945i | − | 0.0976235i | ||||||
\(683\) | −19.8582 | + | 6.45234i | −0.759855 | + | 0.246892i | −0.663216 | − | 0.748428i | \(-0.730809\pi\) |
−0.0966385 | + | 0.995320i | \(0.530809\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.52560 | + | 35.2300i | 0.249331 | + | 1.34607i | ||||
\(686\) | 27.9126 | − | 20.2797i | 1.06571 | − | 0.774281i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.30688 | + | 7.30429i | −0.202323 | + | 0.278473i | ||||
\(689\) | −0.578318 | + | 0.420173i | −0.0220322 | + | 0.0160073i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.7033 | − | 12.1357i | −0.635424 | − | 0.461662i | 0.222851 | − | 0.974852i | \(-0.428464\pi\) |
−0.858275 | + | 0.513190i | \(0.828464\pi\) | |||||||
\(692\) | 19.1729 | − | 6.22964i | 0.728843 | − | 0.236815i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.16805 | + | 9.75025i | 0.120258 | + | 0.370115i | ||||
\(695\) | −1.08195 | + | 8.21143i | −0.0410406 | + | 0.311477i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 21.8993 | + | 7.11551i | 0.829494 | + | 0.269519i | ||||
\(698\) | −0.815529 | − | 1.12248i | −0.0308682 | − | 0.0424865i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.99821 | + | 22.3665i | −0.226711 | + | 0.845375i | ||||
\(701\) | 12.3050 | 0.464752 | 0.232376 | − | 0.972626i | \(-0.425350\pi\) | ||||
0.232376 | + | 0.972626i | \(0.425350\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.570434 | − | 0.185345i | −0.0215143 | − | 0.00699043i | ||||
\(704\) | −0.784803 | + | 2.41537i | −0.0295784 | + | 0.0910328i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.99189 | + | 12.2858i | 0.150237 | + | 0.462382i | ||||
\(707\) | 13.3389i | 0.501662i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.9814 | − | 14.5173i | −0.750417 | − | 0.545210i | 0.145539 | − | 0.989353i | \(-0.453508\pi\) |
−0.895956 | + | 0.444143i | \(0.853508\pi\) | |||||||
\(710\) | 9.88352 | − | 20.7155i | 0.370922 | − | 0.777440i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.431355 | − | 0.593709i | 0.0161657 | − | 0.0222502i | ||||
\(713\) | 0.989705 | − | 1.36221i | 0.0370648 | − | 0.0510153i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.593016 | + | 0.562871i | 0.0221775 | + | 0.0210502i | ||||
\(716\) | −6.27852 | − | 4.56161i | −0.234639 | − | 0.170475i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | − | 9.87465i | − | 0.368519i | ||||||
\(719\) | −6.49650 | − | 19.9942i | −0.242279 | − | 0.745657i | −0.996072 | − | 0.0885457i | \(-0.971778\pi\) |
0.753793 | − | 0.657111i | \(-0.228222\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.9881 | + | 49.2064i | −0.595429 | + | 1.83254i | ||||
\(722\) | −25.1425 | − | 8.16929i | −0.935706 | − | 0.304029i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.7909 | −0.438205 | ||||||||
\(725\) | 10.8899 | + | 2.92042i | 0.404439 | + | 0.108462i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.09683 | − | 7.01519i | −0.189031 | − | 0.260179i | 0.703974 | − | 0.710226i | \(-0.251407\pi\) |
−0.893005 | + | 0.450047i | \(0.851407\pi\) | |||||||
\(728\) | −0.634163 | − | 0.206052i | −0.0235036 | − | 0.00763680i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.09701 | + | 3.86320i | 0.0776139 | + | 0.142983i | ||||
\(731\) | −20.8998 | − | 64.3230i | −0.773008 | − | 2.37907i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.2766 | + | 10.4873i | −1.19216 | + | 0.387357i | −0.836872 | − | 0.547398i | \(-0.815618\pi\) |
−0.355291 | + | 0.934756i | \(0.615618\pi\) | |||||||
\(734\) | −4.30332 | − | 3.12654i | −0.158838 | − | 0.115403i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.35699 | + | 0.985910i | −0.0500193 | + | 0.0363411i | ||||
\(737\) | −11.4187 | + | 15.7165i | −0.420614 | + | 0.578926i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.2781 | + | 9.64708i | −0.488442 | + | 0.354874i | −0.804585 | − | 0.593838i | \(-0.797612\pi\) |
0.316143 | + | 0.948712i | \(0.397612\pi\) | |||||||
\(740\) | −0.197263 | − | 0.0259916i | −0.00725152 | − | 0.000955469i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 21.8696 | − | 7.10585i | 0.802857 | − | 0.260864i | ||||
\(743\) | − | 3.98742i | − | 0.146284i | −0.997322 | − | 0.0731422i | \(-0.976697\pi\) | ||
0.997322 | − | 0.0731422i | \(-0.0233027\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.90226 | − | 3.05769i | 0.106331 | − | 0.112025i | ||||
\(746\) | 2.99270 | − | 9.21059i | 0.109571 | − | 0.337224i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.1824 | − | 15.3913i | −0.408870 | − | 0.562762i | ||||
\(749\) | 65.0883 | 2.37828 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.5827 | 1.37141 | 0.685706 | − | 0.727879i | \(-0.259494\pi\) | ||||
0.685706 | + | 0.727879i | \(0.259494\pi\) | |||||||
\(752\) | 6.39825 | + | 8.80644i | 0.233320 | + | 0.321138i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.100323 | + | 0.308763i | −0.00365355 | + | 0.0112445i | ||||
\(755\) | −9.46858 | + | 9.97566i | −0.344597 | + | 0.363051i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 31.2749i | 1.13671i | 0.822785 | + | 0.568353i | \(0.192419\pi\) | ||||
−0.822785 | + | 0.568353i | \(0.807581\pi\) | |||||||
\(758\) | 21.4197 | − | 6.95968i | 0.777999 | − | 0.252787i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −14.9434 | − | 1.96896i | −0.542054 | − | 0.0714217i | ||||
\(761\) | 24.2292 | − | 17.6035i | 0.878306 | − | 0.638127i | −0.0544967 | − | 0.998514i | \(-0.517355\pi\) |
0.932803 | + | 0.360387i | \(0.117355\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.2899 | + | 25.1739i | −0.662139 | + | 0.911357i | ||||
\(764\) | −3.95155 | + | 2.87097i | −0.142962 | + | 0.103868i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.83431 | + | 4.23887i | 0.210802 | + | 0.153157i | ||||
\(767\) | −0.719370 | + | 0.233738i | −0.0259750 | + | 0.00843978i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.4039 | + | 35.0975i | 0.411234 | + | 1.26565i | 0.915576 | + | 0.402145i | \(0.131735\pi\) |
−0.504342 | + | 0.863504i | \(0.668265\pi\) | |||||||
\(770\) | −12.5473 | − | 23.1151i | −0.452173 | − | 0.833011i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −17.8173 | − | 5.78918i | −0.641257 | − | 0.208357i | ||||
\(773\) | 26.0028 | + | 35.7898i | 0.935256 | + | 1.28727i | 0.957774 | + | 0.287523i | \(0.0928319\pi\) |
−0.0225174 | + | 0.999746i | \(0.507168\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.68626 | − | 1.79774i | 0.168335 | − | 0.0645766i | ||||
\(776\) | 9.12044 | 0.327405 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.5950 | − | 4.09235i | −0.451551 | − | 0.146718i | ||||
\(779\) | −6.40277 | + | 19.7057i | −0.229403 | + | 0.706030i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.05574 | + | 24.7930i | 0.288257 | + | 0.887164i | ||||
\(782\) | − | 12.5649i | − | 0.449319i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 11.6900 | + | 8.49326i | 0.417499 | + | 0.303331i | ||||
\(785\) | −38.0852 | − | 36.1492i | −1.35932 | − | 1.29022i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.5408 | − | 32.4011i | 0.839138 | − | 1.15497i | −0.147015 | − | 0.989134i | \(-0.546966\pi\) |
0.986153 | − | 0.165840i | \(-0.0530336\pi\) | |||||||
\(788\) | −0.737399 | + | 1.01494i | −0.0262688 | + | 0.0361559i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.719487 | + | 1.50802i | −0.0255982 | + | 0.0536530i | ||||
\(791\) | 3.73794 | + | 2.71577i | 0.132906 | + | 0.0965618i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 1.97254i | − | 0.0700471i | ||||||
\(794\) | −9.04265 | − | 27.8304i | −0.320912 | − | 0.987664i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.98575 | − | 18.4222i | 0.212159 | − | 0.652959i | ||||
\(797\) | −42.3012 | − | 13.7445i | −1.49838 | − | 0.486854i | −0.558838 | − | 0.829277i | \(-0.688753\pi\) |
−0.939546 | + | 0.342423i | \(0.888753\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −81.5422 | −2.88476 | ||||||||
\(800\) | −4.99320 | + | 0.260613i | −0.176536 | + | 0.00921405i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −16.1056 | − | 22.1675i | −0.568709 | − | 0.782761i | ||||
\(803\) | −4.74813 | − | 1.54276i | −0.167558 | − | 0.0544429i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.26915 | − | 17.2217i | 0.0799770 | − | 0.606985i | ||||
\(806\) | 0.0446618 | + | 0.137455i | 0.00157314 | + | 0.00484164i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.73916 | + | 0.890008i | −0.0963635 | + | 0.0313104i | ||||
\(809\) | 27.7120 | + | 20.1339i | 0.974301 | + | 0.707871i | 0.956428 | − | 0.291969i | \(-0.0943105\pi\) |
0.0178730 | + | 0.999840i | \(0.494311\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.61506 | + | 6.25921i | −0.302516 | + | 0.219790i | −0.728678 | − | 0.684856i | \(-0.759865\pi\) |
0.426163 | + | 0.904646i | \(0.359865\pi\) | |||||||
\(812\) | 6.13849 | − | 8.44891i | 0.215419 | − | 0.296499i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.182824 | − | 0.132829i | 0.00640798 | − | 0.00465567i | ||||
\(815\) | −6.42540 | − | 34.6890i | −0.225072 | − | 1.21510i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 57.8800 | − | 18.8063i | 2.02496 | − | 0.657951i | ||||
\(818\) | 10.0026i | 0.349732i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.897881 | + | 6.81446i | −0.0313554 | + | 0.237971i | ||||
\(821\) | 4.55450 | − | 14.0173i | 0.158953 | − | 0.489208i | −0.839587 | − | 0.543226i | \(-0.817203\pi\) |
0.998540 | + | 0.0540178i | \(0.0172028\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.66495 | + | 2.29161i | 0.0580365 | + | 0.0798805i | 0.837049 | − | 0.547128i | \(-0.184279\pi\) |
−0.779012 | + | 0.627009i | \(0.784279\pi\) | |||||||
\(824\) | −11.1713 | −0.389172 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 24.3316 | 0.846605 | ||||||||
\(827\) | 12.8205 | + | 17.6459i | 0.445813 | + | 0.613609i | 0.971492 | − | 0.237074i | \(-0.0761884\pi\) |
−0.525678 | + | 0.850683i | \(0.676188\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.5472 | − | 38.6164i | 0.435784 | − | 1.34120i | −0.456497 | − | 0.889725i | \(-0.650896\pi\) |
0.892281 | − | 0.451480i | \(-0.149104\pi\) | |||||||
\(830\) | 6.82151 | − | 1.26354i | 0.236778 | − | 0.0438581i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 0.143974i | − | 0.00499141i | ||||||
\(833\) | −102.944 | + | 33.4486i | −3.56680 | + | 1.15892i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.88979 | + | 8.15288i | −0.134612 | + | 0.282142i | ||||
\(836\) | 13.8496 | − | 10.0623i | 0.478999 | − | 0.348013i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.73236 | − | 6.51354i | 0.163477 | − | 0.225007i | ||||
\(839\) | −23.3715 | + | 16.9804i | −0.806875 | + | 0.586229i | −0.912923 | − | 0.408132i | \(-0.866180\pi\) |
0.106048 | + | 0.994361i | \(0.466180\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.3479 | + | 14.0571i | 0.667168 | + | 0.484726i | ||||
\(842\) | 9.56120 | − | 3.10662i | 0.329501 | − | 0.107061i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.386023 | + | 1.18806i | 0.0132875 | + | 0.0408946i | ||||
\(845\) | 26.1940 | + | 12.4973i | 0.901100 | + | 0.429921i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −20.0416 | − | 6.51191i | −0.688637 | − | 0.223752i | ||||
\(848\) | 2.91839 | + | 4.01682i | 0.100218 | + | 0.137938i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 20.4062 | − | 31.4080i | 0.699926 | − | 1.07729i | ||||
\(851\) | 0.149251 | 0.00511624 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.5949 | − | 7.66646i | −0.807875 | − | 0.262495i | −0.124178 | − | 0.992260i | \(-0.539629\pi\) |
−0.683698 | + | 0.729765i | \(0.739629\pi\) | |||||||
\(854\) | −19.6080 | + | 60.3473i | −0.670973 | + | 2.06504i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.34286 | + | 13.3660i | 0.148436 | + | 0.456839i | ||||
\(857\) | 20.0312i | 0.684251i | 0.939654 | + | 0.342126i | \(0.111147\pi\) | ||||
−0.939654 | + | 0.342126i | \(0.888853\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.7151 | − | 18.6831i | −0.877387 | − | 0.637459i | 0.0551721 | − | 0.998477i | \(-0.482429\pi\) |
−0.932559 | + | 0.361018i | \(0.882429\pi\) | |||||||
\(860\) | 17.7431 | − | 9.63125i | 0.605034 | − | 0.328423i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.5011 | − | 18.5826i | 0.459848 | − | 0.632927i | ||||
\(863\) | 14.0480 | − | 19.3354i | 0.478199 | − | 0.658184i | −0.499959 | − | 0.866049i | \(-0.666652\pi\) |
0.978157 | + | 0.207865i | \(0.0666515\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −44.6918 | − | 5.88865i | −1.51957 | − | 0.200220i | ||||
\(866\) | 14.5594 | + | 10.5780i | 0.494749 | + | 0.359456i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 4.64920i | − | 0.157804i | ||||||
\(869\) | −0.586431 | − | 1.80485i | −0.0198933 | − | 0.0612253i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.340321 | − | 1.04740i | 0.0115313 | − | 0.0354898i | ||||
\(872\) | −6.38984 | − | 2.07618i | −0.216387 | − | 0.0703085i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.3063 | 0.382441 | ||||||||
\(875\) | 33.6412 | − | 39.3633i | 1.13728 | − | 1.33072i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.76512 | + | 3.80586i | 0.0933715 | + | 0.128515i | 0.853147 | − | 0.521671i | \(-0.174691\pi\) |
−0.759775 | + | 0.650186i | \(0.774691\pi\) | |||||||
\(878\) | −24.8762 | − | 8.08277i | −0.839531 | − | 0.272780i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.90953 | − | 4.11890i | 0.131790 | − | 0.138848i | ||||
\(881\) | 13.7902 | + | 42.4420i | 0.464605 | + | 1.42991i | 0.859478 | + | 0.511172i | \(0.170789\pi\) |
−0.394873 | + | 0.918736i | \(0.629211\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.6286 | − | 9.95182i | 1.03073 | − | 0.334905i | 0.255653 | − | 0.966769i | \(-0.417710\pi\) |
0.775080 | + | 0.631863i | \(0.217710\pi\) | |||||||
\(884\) | 0.872534 | + | 0.633933i | 0.0293465 | + | 0.0213215i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.8209 | − | 23.8458i | 1.10264 | − | 0.801115i | ||||
\(887\) | 25.2895 | − | 34.8080i | 0.849137 | − | 1.16874i | −0.134915 | − | 0.990857i | \(-0.543076\pi\) |
0.984052 | − | 0.177880i | \(-0.0569239\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 43.1701 | − | 31.3649i | 1.44788 | − | 1.05194i | ||||
\(890\) | −1.44220 | + | 0.782850i | −0.0483426 | + | 0.0262412i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.8144 | + | 6.76301i | −0.696917 | + | 0.226442i | ||||
\(893\) | − | 73.3744i | − | 2.45538i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.27869 | + | 15.2513i | 0.276726 | + | 0.509796i | ||||
\(896\) | −1.43117 | + | 4.40469i | −0.0478121 | + | 0.147151i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.6125 | − | 18.7360i | −0.454254 | − | 0.625227i | ||||
\(899\) | −2.26361 | −0.0754957 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.1933 | −1.23909 | ||||||||
\(902\) | −4.58860 | − | 6.31567i | −0.152784 | − | 0.210289i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.308282 | + | 0.948794i | −0.0102533 | + | 0.0315564i | ||||
\(905\) | 23.7956 | + | 11.3531i | 0.790994 | + | 0.377388i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 39.3398i | 1.30626i | 0.757247 | + | 0.653129i | \(0.226544\pi\) | ||||
−0.757247 | + | 0.653129i | \(0.773456\pi\) | |||||||
\(908\) | −13.7935 | + | 4.48178i | −0.457754 | + | 0.148733i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.08143 | + | 1.02646i | 0.0358490 | + | 0.0340267i | ||||
\(911\) | −11.0045 | + | 7.99523i | −0.364595 | + | 0.264894i | −0.754966 | − | 0.655764i | \(-0.772347\pi\) |
0.390371 | + | 0.920658i | \(0.372347\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.63146 | + | 6.37465i | −0.153279 | + | 0.210970i | ||||
\(914\) | 31.0660 | − | 22.5708i | 1.02757 | − | 0.746575i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.80302 | − | 2.76305i | −0.125655 | − | 0.0912938i | ||||
\(917\) | −7.85839 | + | 2.55335i | −0.259507 | + | 0.0843189i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.38951 | + | 13.5095i | 0.144797 | + | 0.445638i | 0.996985 | − | 0.0775974i | \(-0.0247249\pi\) |
−0.852188 | + | 0.523235i | \(0.824725\pi\) | |||||||
\(920\) | 3.68789 | − | 0.683103i | 0.121586 | − | 0.0225212i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −30.9962 | − | 10.0713i | −1.02081 | − | 0.331680i | ||||
\(923\) | −0.868657 | − | 1.19560i | −0.0285922 | − | 0.0393538i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.373077 | + | 0.242392i | 0.0122667 | + | 0.00796981i | ||||
\(926\) | 2.53778 | 0.0833966 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.14457 | + | 0.696812i | 0.0703989 | + | 0.0228740i | ||||
\(929\) | 2.50600 | − | 7.71269i | 0.0822193 | − | 0.253045i | −0.901493 | − | 0.432793i | \(-0.857528\pi\) |
0.983713 | + | 0.179748i | \(0.0575282\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.0981 | − | 92.6326i | −0.986427 | − | 3.03591i | ||||
\(932\) | 11.8187i | 0.387135i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.21073 | + | 0.879644i | 0.0396161 | + | 0.0287828i | ||||
\(935\) | 7.74793 | + | 41.8290i | 0.253384 | + | 1.36795i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.18675 | − | 8.51533i | 0.202112 | − | 0.278184i | −0.695914 | − | 0.718125i | \(-0.745001\pi\) |
0.898027 | + | 0.439941i | \(0.145001\pi\) | |||||||
\(938\) | −20.8233 | + | 28.6608i | −0.679904 | + | 0.935808i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.43313 | − | 23.9333i | −0.144593 | − | 0.780618i | ||||
\(941\) | −40.0792 | − | 29.1193i | −1.30655 | − | 0.949261i | −0.306549 | − | 0.951855i | \(-0.599174\pi\) |
−0.999997 | + | 0.00259412i | \(0.999174\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 5.15587i | − | 0.167898i | ||||||
\(944\) | 1.62347 | + | 4.99652i | 0.0528394 | + | 0.162623i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.08567 | + | 21.8074i | −0.230375 | + | 0.709021i | ||||
\(947\) | −10.0635 | − | 3.26983i | −0.327020 | − | 0.106255i | 0.140906 | − | 0.990023i | \(-0.454999\pi\) |
−0.467926 | + | 0.883768i | \(0.654999\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.283024 | 0.00918735 | ||||||||
\(950\) | 28.2620 | + | 18.3621i | 0.916940 | + | 0.595747i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −20.3924 | − | 28.0677i | −0.660921 | − | 0.909680i | ||||
\(953\) | −24.7411 | − | 8.03886i | −0.801442 | − | 0.260404i | −0.120473 | − | 0.992717i | \(-0.538441\pi\) |
−0.680969 | + | 0.732312i | \(0.738441\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.7391 | − | 1.98919i | 0.347510 | − | 0.0643688i | ||||
\(956\) | −3.00168 | − | 9.23821i | −0.0970812 | − | 0.298785i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.1097 | − | 7.50880i | 0.746641 | − | 0.242598i | ||||
\(959\) | −60.0372 | − | 43.6196i | −1.93870 | − | 1.40855i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.2643 | − | 17.6290i | 0.782718 | − | 0.568678i | ||||
\(962\) | −0.00753010 | + | 0.0103643i | −0.000242780 | + | 0.000334158i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.40451 | − | 3.92661i | 0.174068 | − | 0.126468i | ||||
\(965\) | 30.3835 | + | 28.8390i | 0.978079 | + | 0.928361i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −28.1049 | + | 9.13183i | −0.903793 | + | 0.293660i | −0.723802 | − | 0.690008i | \(-0.757607\pi\) |
−0.179991 | + | 0.983668i | \(0.557607\pi\) | |||||||
\(968\) | − | 4.55005i | − | 0.146244i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −18.4063 | − | 8.78178i | −0.590991 | − | 0.281966i | ||||
\(971\) | −11.0850 | + | 34.1161i | −0.355734 | + | 1.09484i | 0.599849 | + | 0.800114i | \(0.295227\pi\) |
−0.955583 | + | 0.294723i | \(0.904773\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.0832 | − | 13.8784i | −0.323253 | − | 0.444920i | ||||
\(974\) | −10.0016 | −0.320470 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.7007 | −0.438548 | ||||||||
\(977\) | 12.7115 | + | 17.4959i | 0.406677 | + | 0.559743i | 0.962404 | − | 0.271622i | \(-0.0875599\pi\) |
−0.555727 | + | 0.831365i | \(0.687560\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.575939 | − | 1.77256i | 0.0184071 | − | 0.0566512i | ||||
\(980\) | −15.4141 | − | 28.3965i | −0.492385 | − | 0.907092i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.17992i | 0.133387i | ||||||||
\(983\) | 13.9026 | − | 4.51722i | 0.443424 | − | 0.144077i | −0.0787911 | − | 0.996891i | \(-0.525106\pi\) |
0.522215 | + | 0.852814i | \(0.325106\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.46543 | − | 1.33828i | 0.0785552 | − | 0.0426411i | ||||
\(986\) | −13.6657 | + | 9.92869i | −0.435204 | + | 0.316194i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.570434 | + | 0.785135i | −0.0181479 | + | 0.0249785i | ||||
\(989\) | −12.2517 | + | 8.90139i | −0.389582 | + | 0.283048i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.5772 | + | 7.68477i | 0.335995 | + | 0.244115i | 0.742970 | − | 0.669325i | \(-0.233416\pi\) |
−0.406975 | + | 0.913439i | \(0.633416\pi\) | |||||||
\(992\) | 0.954718 | − | 0.310207i | 0.0303123 | − | 0.00984907i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 14.6905 | + | 45.2127i | 0.465955 | + | 1.43406i | ||||
\(995\) | −29.8183 | + | 31.4152i | −0.945302 | + | 0.995928i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.5998 | − | 3.76901i | −0.367370 | − | 0.119366i | 0.119514 | − | 0.992833i | \(-0.461866\pi\) |
−0.486884 | + | 0.873467i | \(0.661866\pi\) | |||||||
\(998\) | −1.00245 | − | 1.37976i | −0.0317321 | − | 0.0436755i | ||||
\(999\) | 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 | 450.2.l.c.289.4 | 16 | ||
3.2 | odd | 2 | 150.2.h.b.139.1 | yes | 16 | ||
15.2 | even | 4 | 750.2.g.g.301.1 | 16 | |||
15.8 | even | 4 | 750.2.g.f.301.4 | 16 | |||
15.14 | odd | 2 | 750.2.h.d.199.3 | 16 | |||
25.9 | even | 10 | inner | 450.2.l.c.109.4 | 16 | ||
75.29 | odd | 10 | 3750.2.c.k.1249.1 | 16 | |||
75.38 | even | 20 | 750.2.g.f.451.4 | 16 | |||
75.41 | odd | 10 | 750.2.h.d.49.4 | 16 | |||
75.47 | even | 20 | 3750.2.a.u.1.1 | 8 | |||
75.53 | even | 20 | 3750.2.a.v.1.8 | 8 | |||
75.59 | odd | 10 | 150.2.h.b.109.1 | ✓ | 16 | ||
75.62 | even | 20 | 750.2.g.g.451.1 | 16 | |||
75.71 | odd | 10 | 3750.2.c.k.1249.16 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.h.b.109.1 | ✓ | 16 | 75.59 | odd | 10 | ||
150.2.h.b.139.1 | yes | 16 | 3.2 | odd | 2 | ||
450.2.l.c.109.4 | 16 | 25.9 | even | 10 | inner | ||
450.2.l.c.289.4 | 16 | 1.1 | even | 1 | trivial | ||
750.2.g.f.301.4 | 16 | 15.8 | even | 4 | |||
750.2.g.f.451.4 | 16 | 75.38 | even | 20 | |||
750.2.g.g.301.1 | 16 | 15.2 | even | 4 | |||
750.2.g.g.451.1 | 16 | 75.62 | even | 20 | |||
750.2.h.d.49.4 | 16 | 75.41 | odd | 10 | |||
750.2.h.d.199.3 | 16 | 15.14 | odd | 2 | |||
3750.2.a.u.1.1 | 8 | 75.47 | even | 20 | |||
3750.2.a.v.1.8 | 8 | 75.53 | even | 20 | |||
3750.2.c.k.1249.1 | 16 | 75.29 | odd | 10 | |||
3750.2.c.k.1249.16 | 16 | 75.71 | odd | 10 |