Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.77 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.77 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.985095 | + | 1.74057i | 0.492548 | + | 0.870286i | ||||
\(3\) | −0.514535 | − | 2.95555i | −0.171512 | − | 0.985182i | ||||
\(4\) | −2.05917 | + | 3.42926i | −0.514794 | + | 0.857314i | ||||
\(5\) | 4.58456 | − | 1.99544i | 0.916913 | − | 0.399088i | ||||
\(6\) | 4.63747 | − | 3.80708i | 0.772912 | − | 0.634513i | ||||
\(7\) | 7.72094 | − | 7.72094i | 1.10299 | − | 1.10299i | 0.108944 | − | 0.994048i | \(-0.465253\pi\) |
0.994048 | − | 0.108944i | \(-0.0347468\pi\) | |||||||
\(8\) | −7.99735 | − | 0.205996i | −0.999668 | − | 0.0257495i | ||||
\(9\) | −8.47051 | + | 3.04146i | −0.941168 | + | 0.337940i | ||||
\(10\) | 7.98944 | + | 6.01406i | 0.798944 | + | 0.601406i | ||||
\(11\) | −8.40465 | − | 6.10633i | −0.764059 | − | 0.555121i | 0.136094 | − | 0.990696i | \(-0.456545\pi\) |
−0.900153 | + | 0.435575i | \(0.856545\pi\) | |||||||
\(12\) | 11.1948 | + | 4.32151i | 0.932904 | + | 0.360126i | ||||
\(13\) | −0.457721 | + | 2.88994i | −0.0352093 | + | 0.222303i | −0.999019 | − | 0.0442893i | \(-0.985898\pi\) |
0.963809 | + | 0.266592i | \(0.0858977\pi\) | |||||||
\(14\) | 21.0447 | + | 5.83298i | 1.50319 | + | 0.416642i | ||||
\(15\) | −8.25653 | − | 12.5232i | −0.550436 | − | 0.834878i | ||||
\(16\) | −7.51960 | − | 14.1229i | −0.469975 | − | 0.882680i | ||||
\(17\) | −3.24138 | − | 6.36157i | −0.190670 | − | 0.374210i | 0.775805 | − | 0.630973i | \(-0.217344\pi\) |
−0.966474 | + | 0.256763i | \(0.917344\pi\) | |||||||
\(18\) | −13.6381 | − | 11.7474i | −0.757674 | − | 0.652633i | ||||
\(19\) | 8.81037 | − | 27.1155i | 0.463704 | − | 1.42713i | −0.396902 | − | 0.917861i | \(-0.629915\pi\) |
0.860606 | − | 0.509272i | \(-0.170085\pi\) | |||||||
\(20\) | −2.59754 | + | 19.8306i | −0.129877 | + | 0.991530i | ||||
\(21\) | −26.7923 | − | 18.8469i | −1.27582 | − | 0.897472i | ||||
\(22\) | 2.34913 | − | 20.6442i | 0.106779 | − | 0.938373i | ||||
\(23\) | 22.5233 | − | 3.56734i | 0.979273 | − | 0.155102i | 0.353778 | − | 0.935330i | \(-0.384897\pi\) |
0.625495 | + | 0.780228i | \(0.284897\pi\) | |||||||
\(24\) | 3.50608 | + | 23.7425i | 0.146087 | + | 0.989272i | ||||
\(25\) | 17.0364 | − | 18.2964i | 0.681458 | − | 0.731858i | ||||
\(26\) | −5.48104 | + | 2.05017i | −0.210809 | + | 0.0788526i | ||||
\(27\) | 13.3476 | + | 23.4700i | 0.494354 | + | 0.869261i | ||||
\(28\) | 10.5783 | + | 42.3758i | 0.377797 | + | 1.51342i | ||||
\(29\) | 16.8310 | + | 51.8006i | 0.580380 | + | 1.78623i | 0.617079 | + | 0.786901i | \(0.288316\pi\) |
−0.0366990 | + | 0.999326i | \(0.511684\pi\) | |||||||
\(30\) | 13.6640 | − | 26.7076i | 0.455466 | − | 0.890253i | ||||
\(31\) | −11.6474 | − | 3.78447i | −0.375722 | − | 0.122080i | 0.115067 | − | 0.993358i | \(-0.463292\pi\) |
−0.490790 | + | 0.871278i | \(0.663292\pi\) | |||||||
\(32\) | 17.1743 | − | 27.0008i | 0.536698 | − | 0.843774i | ||||
\(33\) | −13.7231 | + | 27.9822i | −0.415851 | + | 0.847947i | ||||
\(34\) | 7.87970 | − | 11.9086i | 0.231756 | − | 0.350253i | ||||
\(35\) | 19.9905 | − | 50.8038i | 0.571156 | − | 1.45154i | ||||
\(36\) | 7.01230 | − | 35.3104i | 0.194786 | − | 0.980846i | ||||
\(37\) | 29.8793 | + | 4.73241i | 0.807548 | + | 0.127903i | 0.546539 | − | 0.837433i | \(-0.315945\pi\) |
0.261009 | + | 0.965336i | \(0.415945\pi\) | |||||||
\(38\) | 55.8755 | − | 11.3763i | 1.47041 | − | 0.299376i | ||||
\(39\) | 8.77686 | − | 0.134158i | 0.225048 | − | 0.00343994i | ||||
\(40\) | −37.0754 | + | 15.0138i | −0.926885 | + | 0.375346i | ||||
\(41\) | −7.49666 | − | 10.3183i | −0.182845 | − | 0.251665i | 0.707749 | − | 0.706464i | \(-0.249711\pi\) |
−0.890594 | + | 0.454799i | \(0.849711\pi\) | |||||||
\(42\) | 6.41142 | − | 65.1999i | 0.152653 | − | 1.55238i | ||||
\(43\) | 3.03762 | + | 3.03762i | 0.0706424 | + | 0.0706424i | 0.741545 | − | 0.670903i | \(-0.234093\pi\) |
−0.670903 | + | 0.741545i | \(0.734093\pi\) | |||||||
\(44\) | 38.2468 | − | 16.2477i | 0.869246 | − | 0.369265i | ||||
\(45\) | −32.7645 | + | 30.8462i | −0.728100 | + | 0.685470i | ||||
\(46\) | 28.3968 | + | 35.6892i | 0.617321 | + | 0.775852i | ||||
\(47\) | −16.3186 | + | 32.0271i | −0.347204 | + | 0.681427i | −0.996893 | − | 0.0787739i | \(-0.974899\pi\) |
0.649688 | + | 0.760201i | \(0.274899\pi\) | |||||||
\(48\) | −37.8717 | + | 29.4912i | −0.788994 | + | 0.614401i | ||||
\(49\) | − | 70.2258i | − | 1.43318i | ||||||
\(50\) | 48.6288 | + | 11.6294i | 0.972575 | + | 0.232588i | ||||
\(51\) | −17.1341 | + | 12.8533i | −0.335963 | + | 0.252026i | ||||
\(52\) | −8.96781 | − | 7.52053i | −0.172458 | − | 0.144626i | ||||
\(53\) | 0.865295 | − | 1.69824i | 0.0163263 | − | 0.0320422i | −0.882699 | − | 0.469938i | \(-0.844276\pi\) |
0.899026 | + | 0.437896i | \(0.144276\pi\) | |||||||
\(54\) | −27.7027 | + | 46.3526i | −0.513012 | + | 0.858381i | ||||
\(55\) | −50.7165 | − | 11.2239i | −0.922117 | − | 0.204071i | ||||
\(56\) | −63.3375 | + | 60.1566i | −1.13103 | + | 1.07422i | ||||
\(57\) | −84.6744 | − | 12.0876i | −1.48552 | − | 0.212063i | ||||
\(58\) | −73.5824 | + | 80.3241i | −1.26866 | + | 1.38490i | ||||
\(59\) | −48.8208 | − | 67.1961i | −0.827471 | − | 1.13892i | −0.988388 | − | 0.151948i | \(-0.951445\pi\) |
0.160917 | − | 0.986968i | \(-0.448555\pi\) | |||||||
\(60\) | 59.9468 | − | 2.52638i | 0.999113 | − | 0.0421064i | ||||
\(61\) | 18.0683 | + | 13.1274i | 0.296202 | + | 0.215203i | 0.725953 | − | 0.687744i | \(-0.241399\pi\) |
−0.429751 | + | 0.902947i | \(0.641399\pi\) | |||||||
\(62\) | −4.88666 | − | 24.0012i | −0.0788170 | − | 0.387116i | ||||
\(63\) | −41.9173 | + | 88.8832i | −0.665354 | + | 1.41085i | ||||
\(64\) | 63.9151 | + | 3.29484i | 0.998674 | + | 0.0514819i | ||||
\(65\) | 3.66825 | + | 14.1625i | 0.0564346 | + | 0.217884i | ||||
\(66\) | −62.2236 | + | 3.67920i | −0.942782 | + | 0.0557455i | ||||
\(67\) | 36.6238 | + | 71.8783i | 0.546624 | + | 1.07281i | 0.984763 | + | 0.173903i | \(0.0556379\pi\) |
−0.438139 | + | 0.898907i | \(0.644362\pi\) | |||||||
\(68\) | 28.4900 | + | 1.98406i | 0.418971 | + | 0.0291773i | ||||
\(69\) | −22.1324 | − | 64.7331i | −0.320760 | − | 0.938160i | ||||
\(70\) | 108.120 | − | 15.2518i | 1.54457 | − | 0.217882i | ||||
\(71\) | 14.6740 | + | 45.1618i | 0.206676 | + | 0.636082i | 0.999640 | + | 0.0268146i | \(0.00853637\pi\) |
−0.792965 | + | 0.609267i | \(0.791464\pi\) | |||||||
\(72\) | 68.3681 | − | 22.5787i | 0.949557 | − | 0.313594i | ||||
\(73\) | −102.934 | + | 16.3031i | −1.41005 | + | 0.223330i | −0.814583 | − | 0.580048i | \(-0.803034\pi\) |
−0.595470 | + | 0.803378i | \(0.703034\pi\) | |||||||
\(74\) | 21.1968 | + | 56.6689i | 0.286444 | + | 0.765796i | ||||
\(75\) | −62.8418 | − | 40.9378i | −0.837891 | − | 0.545838i | ||||
\(76\) | 74.8440 | + | 86.0486i | 0.984789 | + | 1.13222i | ||||
\(77\) | −112.038 | + | 17.7451i | −1.45504 | + | 0.230456i | ||||
\(78\) | 8.87955 | + | 15.1446i | 0.113840 | + | 0.194161i | ||||
\(79\) | 42.6791 | + | 131.353i | 0.540241 | + | 1.66269i | 0.732043 | + | 0.681259i | \(0.238567\pi\) |
−0.191801 | + | 0.981434i | \(0.561433\pi\) | |||||||
\(80\) | −62.6554 | − | 49.7423i | −0.783193 | − | 0.621779i | ||||
\(81\) | 62.4990 | − | 51.5255i | 0.771593 | − | 0.636117i | ||||
\(82\) | 10.5747 | − | 23.2129i | 0.128960 | − | 0.283085i | ||||
\(83\) | −34.2291 | − | 67.1784i | −0.412399 | − | 0.809378i | −1.00000 | 0.000227417i | \(-0.999928\pi\) | |
0.587601 | − | 0.809151i | \(-0.300072\pi\) | |||||||
\(84\) | 119.801 | − | 53.0686i | 1.42620 | − | 0.631769i | ||||
\(85\) | −27.5545 | − | 22.6970i | −0.324170 | − | 0.267024i | ||||
\(86\) | −2.29485 | + | 8.27954i | −0.0266843 | + | 0.0962737i | ||||
\(87\) | 144.439 | − | 76.3981i | 1.66022 | − | 0.878139i | ||||
\(88\) | 65.9570 | + | 50.5658i | 0.749511 | + | 0.574611i | ||||
\(89\) | 3.90622 | + | 2.83804i | 0.0438901 | + | 0.0318880i | 0.609514 | − | 0.792775i | \(-0.291365\pi\) |
−0.565624 | + | 0.824663i | \(0.691365\pi\) | |||||||
\(90\) | −85.9661 | − | 26.6426i | −0.955179 | − | 0.296028i | ||||
\(91\) | 18.7790 | + | 25.8471i | 0.206363 | + | 0.284034i | ||||
\(92\) | −34.1460 | + | 84.5838i | −0.371153 | + | 0.919390i | ||||
\(93\) | −5.19218 | + | 36.3716i | −0.0558299 | + | 0.391093i | ||||
\(94\) | −71.8208 | + | 3.14602i | −0.764051 | + | 0.0334683i | ||||
\(95\) | −13.7157 | − | 141.893i | −0.144376 | − | 1.49361i | ||||
\(96\) | −88.6388 | − | 36.8667i | −0.923321 | − | 0.384029i | ||||
\(97\) | 1.88025 | − | 3.69021i | 0.0193841 | − | 0.0380434i | −0.881111 | − | 0.472909i | \(-0.843204\pi\) |
0.900495 | + | 0.434865i | \(0.143204\pi\) | |||||||
\(98\) | 122.233 | − | 69.1791i | 1.24728 | − | 0.705910i | ||||
\(99\) | 89.7638 | + | 26.1613i | 0.906705 | + | 0.264256i | ||||
\(100\) | 27.6622 | + | 96.0979i | 0.276622 | + | 0.960979i | ||||
\(101\) | 44.6219i | 0.441801i | 0.975296 | + | 0.220901i | \(0.0708997\pi\) | ||||
−0.975296 | + | 0.220901i | \(0.929100\pi\) | |||||||
\(102\) | −39.2508 | − | 17.1614i | −0.384812 | − | 0.168249i | ||||
\(103\) | −47.9975 | + | 94.2004i | −0.465995 | + | 0.914567i | 0.531714 | + | 0.846924i | \(0.321548\pi\) |
−0.997710 | + | 0.0676435i | \(0.978452\pi\) | |||||||
\(104\) | 4.25587 | − | 23.0176i | 0.0409218 | − | 0.221323i | ||||
\(105\) | −160.439 | − | 32.9424i | −1.52799 | − | 0.313737i | ||||
\(106\) | 3.80830 | − | 0.166818i | 0.0359273 | − | 0.00157375i | ||||
\(107\) | 35.0538 | + | 35.0538i | 0.327606 | + | 0.327606i | 0.851675 | − | 0.524070i | \(-0.175587\pi\) |
−0.524070 | + | 0.851675i | \(0.675587\pi\) | |||||||
\(108\) | −107.970 | − | 2.55672i | −0.999720 | − | 0.0236734i | ||||
\(109\) | 112.550 | + | 154.911i | 1.03257 | + | 1.42121i | 0.903003 | + | 0.429635i | \(0.141358\pi\) |
0.129564 | + | 0.991571i | \(0.458642\pi\) | |||||||
\(110\) | −30.4245 | − | 99.3322i | −0.276587 | − | 0.903020i | ||||
\(111\) | −1.38706 | − | 90.7446i | −0.0124961 | − | 0.817519i | ||||
\(112\) | −167.100 | − | 50.9835i | −1.49197 | − | 0.455210i | ||||
\(113\) | −75.6739 | − | 11.9856i | −0.669680 | − | 0.106067i | −0.187670 | − | 0.982232i | \(-0.560093\pi\) |
−0.482011 | + | 0.876165i | \(0.660093\pi\) | |||||||
\(114\) | −62.3731 | − | 159.289i | −0.547132 | − | 1.39727i | ||||
\(115\) | 96.1410 | − | 61.2985i | 0.836008 | − | 0.533031i | ||||
\(116\) | −212.296 | − | 48.9485i | −1.83013 | − | 0.421970i | ||||
\(117\) | −4.91251 | − | 25.8714i | −0.0419873 | − | 0.221123i | ||||
\(118\) | 68.8664 | − | 151.171i | 0.583613 | − | 1.28111i | ||||
\(119\) | −74.1439 | − | 24.0908i | −0.623058 | − | 0.202444i | ||||
\(120\) | 63.4506 | + | 101.853i | 0.528755 | + | 0.848774i | ||||
\(121\) | −4.04027 | − | 12.4347i | −0.0333907 | − | 0.102766i | ||||
\(122\) | −5.05016 | + | 44.3809i | −0.0413948 | + | 0.363778i | ||||
\(123\) | −26.6388 | + | 27.4658i | −0.216576 | + | 0.223299i | ||||
\(124\) | 36.9619 | − | 32.1490i | 0.298080 | − | 0.259266i | ||||
\(125\) | 41.5952 | − | 117.876i | 0.332761 | − | 0.943011i | ||||
\(126\) | −196.000 | + | 14.5984i | −1.55556 | + | 0.115860i | ||||
\(127\) | −170.775 | + | 27.0481i | −1.34469 | + | 0.212977i | −0.786938 | − | 0.617032i | \(-0.788335\pi\) |
−0.557749 | + | 0.830010i | \(0.688335\pi\) | |||||||
\(128\) | 57.2276 | + | 114.495i | 0.447090 | + | 0.894489i | ||||
\(129\) | 7.41487 | − | 10.5408i | 0.0574796 | − | 0.0817116i | ||||
\(130\) | −21.0372 | + | 20.3362i | −0.161825 | + | 0.156432i | ||||
\(131\) | −1.69873 | + | 5.22815i | −0.0129674 | + | 0.0399096i | −0.957331 | − | 0.288994i | \(-0.906679\pi\) |
0.944363 | + | 0.328904i | \(0.106679\pi\) | |||||||
\(132\) | −67.7001 | − | 104.680i | −0.512879 | − | 0.793032i | ||||
\(133\) | −141.333 | − | 277.382i | −1.06265 | − | 2.08558i | ||||
\(134\) | −89.0313 | + | 134.553i | −0.664413 | + | 1.00413i | ||||
\(135\) | 108.026 | + | 80.9656i | 0.800191 | + | 0.599745i | ||||
\(136\) | 24.6120 | + | 51.5434i | 0.180971 | + | 0.378996i | ||||
\(137\) | −11.9453 | + | 75.4194i | −0.0871917 | + | 0.550507i | 0.904963 | + | 0.425490i | \(0.139898\pi\) |
−0.992155 | + | 0.125016i | \(0.960102\pi\) | |||||||
\(138\) | 90.8699 | − | 102.291i | 0.658478 | − | 0.741241i | ||||
\(139\) | 66.4464 | + | 48.2761i | 0.478032 | + | 0.347310i | 0.800563 | − | 0.599248i | \(-0.204534\pi\) |
−0.322531 | + | 0.946559i | \(0.604534\pi\) | |||||||
\(140\) | 133.055 | + | 173.166i | 0.950396 | + | 1.23690i | ||||
\(141\) | 103.054 | + | 31.7514i | 0.730879 | + | 0.225187i | ||||
\(142\) | −64.1521 | + | 70.0298i | −0.451775 | + | 0.493167i | ||||
\(143\) | 21.4939 | − | 21.4939i | 0.150307 | − | 0.150307i | ||||
\(144\) | 106.649 | + | 96.7574i | 0.740618 | + | 0.671926i | ||||
\(145\) | 180.528 | + | 203.898i | 1.24502 | + | 1.40619i | ||||
\(146\) | −129.776 | − | 163.103i | −0.888879 | − | 1.11715i | ||||
\(147\) | −207.556 | + | 36.1336i | −1.41194 | + | 0.245807i | ||||
\(148\) | −77.7553 | + | 92.7188i | −0.525374 | + | 0.626479i | ||||
\(149\) | 253.304 | 1.70003 | 0.850013 | − | 0.526762i | \(-0.176594\pi\) | ||||
0.850013 | + | 0.526762i | \(0.176594\pi\) | |||||||
\(150\) | 9.35001 | − | 149.708i | 0.0623334 | − | 0.998055i | ||||
\(151\) | − | 230.143i | − | 1.52413i | −0.647503 | − | 0.762063i | \(-0.724187\pi\) | ||
0.647503 | − | 0.762063i | \(-0.275813\pi\) | |||||||
\(152\) | −76.0453 | + | 215.037i | −0.500298 | + | 1.41472i | ||||
\(153\) | 46.8047 | + | 44.0272i | 0.305913 | + | 0.287760i | ||||
\(154\) | −141.255 | − | 177.530i | −0.917241 | − | 1.15279i | ||||
\(155\) | −60.9499 | + | 5.89154i | −0.393225 | + | 0.0380100i | ||||
\(156\) | −17.6130 | + | 30.3744i | −0.112904 | + | 0.194707i | ||||
\(157\) | 126.296 | + | 126.296i | 0.804436 | + | 0.804436i | 0.983785 | − | 0.179349i | \(-0.0573992\pi\) |
−0.179349 | + | 0.983785i | \(0.557399\pi\) | |||||||
\(158\) | −186.586 | + | 203.681i | −1.18092 | + | 1.28912i | ||||
\(159\) | −5.46444 | − | 1.68362i | −0.0343676 | − | 0.0105888i | ||||
\(160\) | 24.8585 | − | 158.057i | 0.155365 | − | 0.987857i | ||||
\(161\) | 146.358 | − | 201.444i | 0.909054 | − | 1.25121i | ||||
\(162\) | 151.251 | + | 58.0265i | 0.933649 | + | 0.358188i | ||||
\(163\) | 140.785 | + | 22.2982i | 0.863714 | + | 0.136799i | 0.572545 | − | 0.819873i | \(-0.305956\pi\) |
0.291168 | + | 0.956672i | \(0.405956\pi\) | |||||||
\(164\) | 50.8209 | − | 4.46085i | 0.309883 | − | 0.0272003i | ||||
\(165\) | −7.07738 | + | 155.670i | −0.0428932 | + | 0.943454i | ||||
\(166\) | 83.2098 | − | 125.755i | 0.501264 | − | 0.757562i | ||||
\(167\) | −93.5475 | + | 47.6648i | −0.560165 | + | 0.285418i | −0.711060 | − | 0.703132i | \(-0.751784\pi\) |
0.150895 | + | 0.988550i | \(0.451784\pi\) | |||||||
\(168\) | 210.385 | + | 156.244i | 1.25229 | + | 0.930026i | ||||
\(169\) | 152.586 | + | 49.5783i | 0.902878 | + | 0.293363i | ||||
\(170\) | 12.3621 | − | 70.3193i | 0.0727180 | − | 0.413643i | ||||
\(171\) | 7.84257 | + | 256.479i | 0.0458630 | + | 1.49988i | ||||
\(172\) | −16.6718 | + | 4.16179i | −0.0969289 | + | 0.0241964i | ||||
\(173\) | −24.9285 | − | 157.392i | −0.144095 | − | 0.909782i | −0.948747 | − | 0.316035i | \(-0.897648\pi\) |
0.804652 | − | 0.593747i | \(-0.202352\pi\) | |||||||
\(174\) | 275.262 | + | 176.147i | 1.58197 | + | 1.01234i | ||||
\(175\) | −9.72841 | − | 272.803i | −0.0555909 | − | 1.55887i | ||||
\(176\) | −23.0394 | + | 164.615i | −0.130906 | + | 0.935312i | ||||
\(177\) | −173.481 | + | 178.867i | −0.980119 | + | 1.01055i | ||||
\(178\) | −1.09180 | + | 9.59479i | −0.00613373 | + | 0.0539033i | ||||
\(179\) | −124.728 | + | 40.5265i | −0.696803 | + | 0.226405i | −0.635937 | − | 0.771741i | \(-0.719386\pi\) |
−0.0608658 | + | 0.998146i | \(0.519386\pi\) | |||||||
\(180\) | −38.3115 | − | 175.876i | −0.212842 | − | 0.977087i | ||||
\(181\) | 60.1573 | − | 185.145i | 0.332361 | − | 1.02290i | −0.635647 | − | 0.771980i | \(-0.719266\pi\) |
0.968007 | − | 0.250921i | \(-0.0807336\pi\) | |||||||
\(182\) | −26.4896 | + | 58.1480i | −0.145547 | + | 0.319495i | ||||
\(183\) | 29.5019 | − | 60.1563i | 0.161212 | − | 0.328723i | ||||
\(184\) | −180.861 | + | 23.8895i | −0.982942 | + | 0.129834i | ||||
\(185\) | 146.427 | − | 37.9263i | 0.791495 | − | 0.205007i | ||||
\(186\) | −68.4222 | + | 26.7922i | −0.367861 | + | 0.144044i | ||||
\(187\) | −11.6032 | + | 73.2598i | −0.0620492 | + | 0.391763i | ||||
\(188\) | −76.2262 | − | 121.910i | −0.405458 | − | 0.648458i | ||||
\(189\) | 284.266 | + | 78.1551i | 1.50406 | + | 0.413519i | ||||
\(190\) | 233.464 | − | 163.652i | 1.22876 | − | 0.861325i | ||||
\(191\) | 246.392 | − | 179.014i | 1.29001 | − | 0.937246i | 0.290203 | − | 0.956965i | \(-0.406277\pi\) |
0.999806 | + | 0.0197186i | \(0.00627702\pi\) | |||||||
\(192\) | −23.1485 | − | 190.599i | −0.120565 | − | 0.992705i | ||||
\(193\) | −188.068 | + | 188.068i | −0.974445 | + | 0.974445i | −0.999681 | − | 0.0252370i | \(-0.991966\pi\) |
0.0252370 | + | 0.999681i | \(0.491966\pi\) | |||||||
\(194\) | 8.27530 | − | 0.362489i | 0.0426562 | − | 0.00186850i | ||||
\(195\) | 39.9704 | − | 18.1288i | 0.204976 | − | 0.0929680i | ||||
\(196\) | 240.822 | + | 144.607i | 1.22869 | + | 0.737792i | ||||
\(197\) | 204.868 | + | 104.386i | 1.03994 | + | 0.529876i | 0.888637 | − | 0.458611i | \(-0.151653\pi\) |
0.151304 | + | 0.988487i | \(0.451653\pi\) | |||||||
\(198\) | 42.8903 | + | 182.012i | 0.216618 | + | 0.919251i | ||||
\(199\) | −375.238 | −1.88562 | −0.942808 | − | 0.333337i | \(-0.891825\pi\) | ||||
−0.942808 | + | 0.333337i | \(0.891825\pi\) | |||||||
\(200\) | −140.015 | + | 142.814i | −0.700077 | + | 0.714068i | ||||
\(201\) | 193.595 | − | 145.227i | 0.963161 | − | 0.722524i | ||||
\(202\) | −77.6677 | + | 43.9569i | −0.384493 | + | 0.217608i | ||||
\(203\) | 529.901 | + | 269.998i | 2.61035 | + | 1.33004i | ||||
\(204\) | −8.79515 | − | 85.2245i | −0.0431135 | − | 0.417767i | ||||
\(205\) | −54.9584 | − | 32.3456i | −0.268090 | − | 0.157783i | ||||
\(206\) | −211.245 | + | 9.25331i | −1.02546 | + | 0.0449190i | ||||
\(207\) | −179.934 | + | 98.7208i | −0.869245 | + | 0.476912i | ||||
\(208\) | 44.2561 | − | 15.2668i | 0.212770 | − | 0.0733982i | ||||
\(209\) | −239.624 | + | 174.097i | −1.14653 | + | 0.833002i | ||||
\(210\) | −100.709 | − | 311.707i | −0.479566 | − | 1.48432i | ||||
\(211\) | −48.3472 | + | 66.5443i | −0.229134 | + | 0.315376i | −0.908067 | − | 0.418824i | \(-0.862442\pi\) |
0.678934 | + | 0.734200i | \(0.262442\pi\) | |||||||
\(212\) | 4.04190 | + | 6.46428i | 0.0190655 | + | 0.0304919i | ||||
\(213\) | 125.928 | − | 66.6069i | 0.591209 | − | 0.312708i | ||||
\(214\) | −26.4823 | + | 95.5450i | −0.123749 | + | 0.446472i | ||||
\(215\) | 19.9876 | + | 7.86478i | 0.0929654 | + | 0.0365803i | ||||
\(216\) | −101.910 | − | 190.448i | −0.471807 | − | 0.881702i | ||||
\(217\) | −119.148 | + | 60.7092i | −0.549071 | + | 0.279766i | ||||
\(218\) | −158.762 | + | 348.503i | −0.728267 | + | 1.59864i | ||||
\(219\) | 101.148 | + | 295.837i | 0.461861 | + | 1.35085i | ||||
\(220\) | 142.924 | − | 150.808i | 0.649653 | − | 0.685490i | ||||
\(221\) | 19.8682 | − | 6.45557i | 0.0899014 | − | 0.0292107i | ||||
\(222\) | 156.581 | − | 91.8063i | 0.705320 | − | 0.413542i | ||||
\(223\) | −0.310967 | − | 1.96337i | −0.00139447 | − | 0.00880435i | 0.986981 | − | 0.160835i | \(-0.0514187\pi\) |
−0.988376 | + | 0.152031i | \(0.951419\pi\) | |||||||
\(224\) | −75.8692 | − | 341.073i | −0.338702 | − | 1.52265i | ||||
\(225\) | −88.6593 | + | 206.796i | −0.394041 | + | 0.919093i | ||||
\(226\) | −53.6843 | − | 143.523i | −0.237541 | − | 0.635056i | ||||
\(227\) | −44.4851 | − | 280.868i | −0.195969 | − | 1.23730i | −0.867919 | − | 0.496705i | \(-0.834543\pi\) |
0.671950 | − | 0.740597i | \(-0.265457\pi\) | |||||||
\(228\) | 215.811 | − | 265.480i | 0.946539 | − | 1.16439i | ||||
\(229\) | 16.1713 | − | 5.25436i | 0.0706168 | − | 0.0229448i | −0.273496 | − | 0.961873i | \(-0.588180\pi\) |
0.344112 | + | 0.938928i | \(0.388180\pi\) | |||||||
\(230\) | 201.402 | + | 106.955i | 0.875663 | + | 0.465023i | ||||
\(231\) | 110.094 | + | 322.004i | 0.476598 | + | 1.39396i | ||||
\(232\) | −123.933 | − | 417.734i | −0.534194 | − | 1.80058i | ||||
\(233\) | 354.065 | − | 180.405i | 1.51959 | − | 0.774272i | 0.522662 | − | 0.852540i | \(-0.324939\pi\) |
0.996932 | + | 0.0782683i | \(0.0249391\pi\) | |||||||
\(234\) | 40.1917 | − | 34.0363i | 0.171759 | − | 0.145454i | ||||
\(235\) | −10.9056 | + | 179.393i | −0.0464067 | + | 0.763374i | ||||
\(236\) | 330.963 | − | 29.0506i | 1.40239 | − | 0.123096i | ||||
\(237\) | 366.259 | − | 193.726i | 1.54540 | − | 0.817407i | ||||
\(238\) | −31.1070 | − | 152.784i | −0.130702 | − | 0.641951i | ||||
\(239\) | 221.125 | − | 304.352i | 0.925209 | − | 1.27344i | −0.0364898 | − | 0.999334i | \(-0.511618\pi\) |
0.961699 | − | 0.274107i | \(-0.0883824\pi\) | |||||||
\(240\) | −114.777 | + | 210.775i | −0.478239 | + | 0.878230i | ||||
\(241\) | 23.0893 | − | 16.7753i | 0.0958061 | − | 0.0696072i | −0.538851 | − | 0.842401i | \(-0.681141\pi\) |
0.634657 | + | 0.772794i | \(0.281141\pi\) | |||||||
\(242\) | 17.6634 | − | 19.2817i | 0.0729892 | − | 0.0796766i | ||||
\(243\) | −184.444 | − | 158.207i | −0.759028 | − | 0.651058i | ||||
\(244\) | −82.2231 | + | 34.9293i | −0.336980 | + | 0.143153i | ||||
\(245\) | −140.131 | − | 321.955i | −0.571965 | − | 1.31410i | ||||
\(246\) | −74.0480 | − | 19.3103i | −0.301008 | − | 0.0784971i | ||||
\(247\) | 74.3295 | + | 37.8728i | 0.300929 | + | 0.153331i | ||||
\(248\) | 92.3686 | + | 32.6650i | 0.372454 | + | 0.131714i | ||||
\(249\) | −180.937 | + | 135.731i | −0.726654 | + | 0.545106i | ||||
\(250\) | 246.147 | − | 43.7201i | 0.984590 | − | 0.174880i | ||||
\(251\) | −349.972 | −1.39431 | −0.697156 | − | 0.716920i | \(-0.745551\pi\) | ||||
−0.697156 | + | 0.716920i | \(0.745551\pi\) | |||||||
\(252\) | −218.488 | − | 326.771i | −0.867017 | − | 1.29671i | ||||
\(253\) | −211.083 | − | 107.552i | −0.834322 | − | 0.425108i | ||||
\(254\) | −215.309 | − | 270.601i | −0.847673 | − | 1.06536i | ||||
\(255\) | −52.9044 | + | 93.1169i | −0.207468 | + | 0.365164i | ||||
\(256\) | −142.911 | + | 212.397i | −0.558247 | + | 0.829675i | ||||
\(257\) | −205.285 | + | 205.285i | −0.798775 | + | 0.798775i | −0.982902 | − | 0.184127i | \(-0.941054\pi\) |
0.184127 | + | 0.982902i | \(0.441054\pi\) | |||||||
\(258\) | 25.6513 | + | 2.52242i | 0.0994238 | + | 0.00977682i | ||||
\(259\) | 267.235 | − | 194.157i | 1.03179 | − | 0.749643i | ||||
\(260\) | −56.1203 | − | 16.5836i | −0.215847 | − | 0.0637832i | ||||
\(261\) | −300.117 | − | 387.586i | −1.14987 | − | 1.48501i | ||||
\(262\) | −10.7734 | + | 2.19347i | −0.0411198 | + | 0.00837202i | ||||
\(263\) | 30.9765 | − | 195.578i | 0.117781 | − | 0.743641i | −0.856138 | − | 0.516747i | \(-0.827143\pi\) |
0.973919 | − | 0.226894i | \(-0.0728572\pi\) | |||||||
\(264\) | 115.512 | − | 220.957i | 0.437547 | − | 0.836958i | ||||
\(265\) | 0.578269 | − | 9.51232i | 0.00218215 | − | 0.0358955i | ||||
\(266\) | 343.576 | − | 519.248i | 1.29164 | − | 1.95206i | ||||
\(267\) | 6.37806 | − | 13.0053i | 0.0238879 | − | 0.0487089i | ||||
\(268\) | −321.904 | − | 22.4175i | −1.20113 | − | 0.0836474i | ||||
\(269\) | −49.8815 | + | 153.520i | −0.185433 | + | 0.570705i | −0.999956 | − | 0.00942752i | \(-0.996999\pi\) |
0.814522 | + | 0.580132i | \(0.196999\pi\) | |||||||
\(270\) | −34.5108 | + | 267.785i | −0.127818 | + | 0.991798i | ||||
\(271\) | −95.6035 | + | 31.0635i | −0.352780 | + | 0.114625i | −0.480046 | − | 0.877243i | \(-0.659380\pi\) |
0.127265 | + | 0.991869i | \(0.459380\pi\) | |||||||
\(272\) | −65.4698 | + | 93.6141i | −0.240698 | + | 0.344170i | ||||
\(273\) | 66.7298 | − | 68.8014i | 0.244431 | − | 0.252020i | ||||
\(274\) | −143.040 | + | 53.5037i | −0.522044 | + | 0.195269i | ||||
\(275\) | −254.909 | + | 49.7450i | −0.926943 | + | 0.180891i | ||||
\(276\) | 267.561 | + | 57.3989i | 0.969423 | + | 0.207967i | ||||
\(277\) | 38.6305 | + | 243.903i | 0.139460 | + | 0.880518i | 0.953868 | + | 0.300225i | \(0.0970618\pi\) |
−0.814408 | + | 0.580293i | \(0.802938\pi\) | |||||||
\(278\) | −18.5720 | + | 163.211i | −0.0668058 | + | 0.587091i | ||||
\(279\) | 110.170 | − | 3.36875i | 0.394873 | − | 0.0120744i | ||||
\(280\) | −170.336 | + | 402.178i | −0.608343 | + | 1.43635i | ||||
\(281\) | −137.436 | − | 44.6556i | −0.489096 | − | 0.158917i | 0.0540788 | − | 0.998537i | \(-0.482778\pi\) |
−0.543174 | + | 0.839620i | \(0.682778\pi\) | |||||||
\(282\) | 46.2525 | + | 210.651i | 0.164016 | + | 0.746989i | ||||
\(283\) | 334.416 | − | 170.394i | 1.18168 | − | 0.602098i | 0.251023 | − | 0.967981i | \(-0.419233\pi\) |
0.930661 | + | 0.365883i | \(0.119233\pi\) | |||||||
\(284\) | −185.088 | − | 42.6753i | −0.651717 | − | 0.150265i | ||||
\(285\) | −412.315 | + | 113.547i | −1.44672 | + | 0.398409i | ||||
\(286\) | 58.5852 | + | 16.2381i | 0.204843 | + | 0.0567767i | ||||
\(287\) | −137.548 | − | 21.7855i | −0.479261 | − | 0.0759075i | ||||
\(288\) | −63.3536 | + | 280.945i | −0.219978 | + | 0.975505i | ||||
\(289\) | 139.907 | − | 192.565i | 0.484107 | − | 0.666316i | ||||
\(290\) | −177.061 | + | 515.080i | −0.610556 | + | 1.77614i | ||||
\(291\) | −11.8740 | − | 3.65844i | −0.0408042 | − | 0.0125720i | ||||
\(292\) | 156.051 | − | 386.557i | 0.534422 | − | 1.32383i | ||||
\(293\) | 173.758 | + | 173.758i | 0.593031 | + | 0.593031i | 0.938449 | − | 0.345418i | \(-0.112263\pi\) |
−0.345418 | + | 0.938449i | \(0.612263\pi\) | |||||||
\(294\) | −267.355 | − | 325.670i | −0.909372 | − | 1.10772i | ||||
\(295\) | −357.908 | − | 210.646i | −1.21325 | − | 0.714053i | ||||
\(296\) | −237.980 | − | 44.0018i | −0.803987 | − | 0.148655i | ||||
\(297\) | 31.1344 | − | 278.762i | 0.104830 | − | 0.938593i | ||||
\(298\) | 249.528 | + | 440.893i | 0.837343 | + | 1.47951i | ||||
\(299\) | 66.7237i | 0.223156i | ||||||||
\(300\) | 269.789 | − | 131.203i | 0.899295 | − | 0.437342i | ||||
\(301\) | 46.9066 | 0.155836 | ||||||||
\(302\) | 400.580 | − | 226.713i | 1.32642 | − | 0.750704i | ||||
\(303\) | 131.882 | − | 22.9595i | 0.435255 | − | 0.0757741i | ||||
\(304\) | −449.200 | + | 79.4701i | −1.47763 | + | 0.261415i | ||||
\(305\) | 109.030 | + | 24.1292i | 0.357476 | + | 0.0791120i | ||||
\(306\) | −30.5254 | + | 124.838i | −0.0997564 | + | 0.407967i | ||||
\(307\) | −268.475 | + | 268.475i | −0.874511 | + | 0.874511i | −0.992960 | − | 0.118449i | \(-0.962208\pi\) |
0.118449 | + | 0.992960i | \(0.462208\pi\) | |||||||
\(308\) | 169.854 | − | 420.749i | 0.551474 | − | 1.36607i | ||||
\(309\) | 303.110 | + | 93.3895i | 0.980939 | + | 0.302231i | ||||
\(310\) | −70.2961 | − | 100.284i | −0.226762 | − | 0.323496i | ||||
\(311\) | −205.885 | − | 149.584i | −0.662010 | − | 0.480978i | 0.205331 | − | 0.978693i | \(-0.434173\pi\) |
−0.867341 | + | 0.497714i | \(0.834173\pi\) | |||||||
\(312\) | −70.2192 | − | 0.735094i | −0.225062 | − | 0.00235607i | ||||
\(313\) | −34.9743 | + | 220.819i | −0.111739 | + | 0.705491i | 0.866681 | + | 0.498863i | \(0.166249\pi\) |
−0.978420 | + | 0.206628i | \(0.933751\pi\) | |||||||
\(314\) | −95.4139 | + | 344.242i | −0.303866 | + | 1.09631i | ||||
\(315\) | −14.8115 | + | 491.134i | −0.0470205 | + | 1.55916i | ||||
\(316\) | −538.326 | − | 124.121i | −1.70356 | − | 0.392787i | ||||
\(317\) | 119.700 | + | 234.924i | 0.377602 | + | 0.741086i | 0.999104 | − | 0.0423267i | \(-0.0134770\pi\) |
−0.621502 | + | 0.783413i | \(0.713477\pi\) | |||||||
\(318\) | −2.45254 | − | 11.1698i | −0.00771239 | − | 0.0351251i | ||||
\(319\) | 174.853 | − | 538.142i | 0.548128 | − | 1.68696i | ||||
\(320\) | 299.598 | − | 112.433i | 0.936243 | − | 0.351354i | ||||
\(321\) | 85.5668 | − | 121.640i | 0.266563 | − | 0.378940i | ||||
\(322\) | 494.804 | + | 56.3043i | 1.53666 | + | 0.174858i | ||||
\(323\) | −201.055 | + | 31.8440i | −0.622462 | + | 0.0985883i | ||||
\(324\) | 47.9977 | + | 320.425i | 0.148141 | + | 0.988966i | ||||
\(325\) | 45.0776 | + | 57.6089i | 0.138700 | + | 0.177258i | ||||
\(326\) | 99.8754 | + | 267.013i | 0.306366 | + | 0.819058i | ||||
\(327\) | 399.937 | − | 412.353i | 1.22305 | − | 1.26102i | ||||
\(328\) | 57.8278 | + | 84.0630i | 0.176304 | + | 0.256290i | ||||
\(329\) | 121.284 | + | 373.274i | 0.368645 | + | 1.13457i | ||||
\(330\) | −277.926 | + | 141.031i | −0.842201 | + | 0.427367i | ||||
\(331\) | 314.445 | + | 102.170i | 0.949986 | + | 0.308669i | 0.742710 | − | 0.669613i | \(-0.233540\pi\) |
0.207276 | + | 0.978282i | \(0.433540\pi\) | |||||||
\(332\) | 300.856 | + | 20.9517i | 0.906191 | + | 0.0631075i | ||||
\(333\) | −267.486 | + | 50.7908i | −0.803261 | + | 0.152525i | ||||
\(334\) | −175.117 | − | 115.872i | −0.524303 | − | 0.346921i | ||||
\(335\) | 311.333 | + | 256.450i | 0.929352 | + | 0.765522i | ||||
\(336\) | −64.7053 | + | 520.105i | −0.192575 | + | 1.54793i | ||||
\(337\) | 94.0440 | + | 14.8951i | 0.279062 | + | 0.0441991i | 0.294397 | − | 0.955683i | \(-0.404881\pi\) |
−0.0153345 | + | 0.999882i | \(0.504881\pi\) | |||||||
\(338\) | 64.0175 | + | 314.427i | 0.189401 | + | 0.930256i | ||||
\(339\) | 3.51296 | + | 229.825i | 0.0103627 | + | 0.677949i | ||||
\(340\) | 134.573 | − | 47.7541i | 0.395804 | − | 0.140453i | ||||
\(341\) | 74.7830 | + | 102.930i | 0.219305 | + | 0.301847i | ||||
\(342\) | −438.694 | + | 266.306i | −1.28273 | + | 0.778674i | ||||
\(343\) | −163.883 | − | 163.883i | −0.477794 | − | 0.477794i | ||||
\(344\) | −23.6672 | − | 24.9186i | −0.0687999 | − | 0.0724379i | ||||
\(345\) | −230.638 | − | 252.609i | −0.668517 | − | 0.732199i | ||||
\(346\) | 249.396 | − | 198.436i | 0.720796 | − | 0.573515i | ||||
\(347\) | −114.276 | + | 224.279i | −0.329325 | + | 0.646337i | −0.994997 | − | 0.0999077i | \(-0.968145\pi\) |
0.665671 | + | 0.746245i | \(0.268145\pi\) | |||||||
\(348\) | −35.4363 | + | 652.635i | −0.101828 | + | 1.87539i | ||||
\(349\) | − | 487.055i | − | 1.39557i | −0.716306 | − | 0.697787i | \(-0.754168\pi\) | ||
0.716306 | − | 0.697787i | \(-0.245832\pi\) | |||||||
\(350\) | 465.250 | − | 285.670i | 1.32928 | − | 0.816200i | ||||
\(351\) | −73.9364 | + | 27.8309i | −0.210645 | + | 0.0792902i | ||||
\(352\) | −309.220 | + | 122.060i | −0.878466 | + | 0.346760i | ||||
\(353\) | 283.964 | − | 557.311i | 0.804431 | − | 1.57879i | −0.0110053 | − | 0.999939i | \(-0.503503\pi\) |
0.815437 | − | 0.578846i | \(-0.196497\pi\) | |||||||
\(354\) | −482.226 | − | 125.755i | −1.36222 | − | 0.355241i | ||||
\(355\) | 157.391 | + | 177.766i | 0.443356 | + | 0.500750i | ||||
\(356\) | −17.7759 | + | 7.55142i | −0.0499324 | + | 0.0212119i | ||||
\(357\) | −33.0519 | + | 231.531i | −0.0925823 | + | 0.648547i | ||||
\(358\) | −193.408 | − | 177.175i | −0.540245 | − | 0.494902i | ||||
\(359\) | −16.5613 | − | 22.7946i | −0.0461317 | − | 0.0634948i | 0.785328 | − | 0.619080i | \(-0.212494\pi\) |
−0.831460 | + | 0.555585i | \(0.812494\pi\) | |||||||
\(360\) | 268.383 | − | 239.938i | 0.745510 | − | 0.666495i | ||||
\(361\) | −365.574 | − | 265.605i | −1.01267 | − | 0.735748i | ||||
\(362\) | 381.519 | − | 77.6776i | 1.05392 | − | 0.214579i | ||||
\(363\) | −34.6724 | + | 18.3393i | −0.0955163 | + | 0.0505215i | ||||
\(364\) | −127.306 | + | 11.1744i | −0.349740 | + | 0.0306988i | ||||
\(365\) | −439.375 | + | 280.141i | −1.20377 | + | 0.767509i | ||||
\(366\) | 133.768 | − | 7.90955i | 0.365487 | − | 0.0216108i | ||||
\(367\) | 174.511 | + | 342.498i | 0.475508 | + | 0.933237i | 0.996806 | + | 0.0798619i | \(0.0254479\pi\) |
−0.521298 | + | 0.853375i | \(0.674552\pi\) | |||||||
\(368\) | −219.747 | − | 291.268i | −0.597139 | − | 0.791490i | ||||
\(369\) | 94.8831 | + | 64.6001i | 0.257136 | + | 0.175068i | ||||
\(370\) | 210.258 | + | 217.505i | 0.568264 | + | 0.587851i | ||||
\(371\) | −6.43109 | − | 19.7929i | −0.0173345 | − | 0.0533501i | ||||
\(372\) | −114.036 | − | 92.7009i | −0.306549 | − | 0.249196i | ||||
\(373\) | −112.788 | + | 17.8639i | −0.302381 | + | 0.0478924i | −0.305781 | − | 0.952102i | \(-0.598918\pi\) |
0.00340055 | + | 0.999994i | \(0.498918\pi\) | |||||||
\(374\) | −138.944 | + | 51.9716i | −0.371508 | + | 0.138962i | ||||
\(375\) | −369.791 | − | 62.2850i | −0.986110 | − | 0.166093i | ||||
\(376\) | 137.103 | − | 252.770i | 0.364636 | − | 0.672261i | ||||
\(377\) | −157.404 | + | 24.9304i | −0.417518 | + | 0.0661284i | ||||
\(378\) | 143.995 | + | 571.776i | 0.380939 | + | 1.51264i | ||||
\(379\) | 49.2273 | + | 151.506i | 0.129887 | + | 0.399752i | 0.994760 | − | 0.102239i | \(-0.0326008\pi\) |
−0.864872 | + | 0.501992i | \(0.832601\pi\) | |||||||
\(380\) | 514.832 | + | 245.149i | 1.35482 | + | 0.645128i | ||||
\(381\) | 167.812 | + | 490.817i | 0.440451 | + | 1.28823i | ||||
\(382\) | 554.306 | + | 252.516i | 1.45106 | + | 0.661038i | ||||
\(383\) | −116.429 | − | 228.504i | −0.303991 | − | 0.596616i | 0.687591 | − | 0.726099i | \(-0.258668\pi\) |
−0.991582 | + | 0.129482i | \(0.958668\pi\) | |||||||
\(384\) | 308.948 | − | 228.050i | 0.804553 | − | 0.593881i | ||||
\(385\) | −478.238 | + | 304.920i | −1.24218 | + | 0.791999i | ||||
\(386\) | −512.610 | − | 142.081i | −1.32801 | − | 0.368085i | ||||
\(387\) | −34.9690 | − | 16.4914i | −0.0903592 | − | 0.0426134i | ||||
\(388\) | 8.78289 | + | 14.0467i | 0.0226363 | + | 0.0362027i | ||||
\(389\) | −193.655 | − | 140.698i | −0.497827 | − | 0.361693i | 0.310359 | − | 0.950619i | \(-0.399551\pi\) |
−0.808186 | + | 0.588927i | \(0.799551\pi\) | |||||||
\(390\) | 70.9290 | + | 51.7127i | 0.181869 | + | 0.132597i | ||||
\(391\) | −95.7004 | − | 131.720i | −0.244758 | − | 0.336881i | ||||
\(392\) | −14.4662 | + | 561.620i | −0.0369037 | + | 1.43271i | ||||
\(393\) | 16.3261 | + | 2.33061i | 0.0415423 | + | 0.00593030i | ||||
\(394\) | 20.1242 | + | 459.418i | 0.0510767 | + | 1.16603i | ||||
\(395\) | 457.771 | + | 517.031i | 1.15891 | + | 1.30894i | ||||
\(396\) | −274.553 | + | 253.952i | −0.693316 | + | 0.641294i | ||||
\(397\) | −283.975 | + | 557.333i | −0.715303 | + | 1.40386i | 0.191154 | + | 0.981560i | \(0.438777\pi\) |
−0.906456 | + | 0.422300i | \(0.861223\pi\) | |||||||
\(398\) | −369.645 | − | 653.128i | −0.928755 | − | 1.64102i | ||||
\(399\) | −747.094 | + | 560.439i | −1.87242 | + | 1.40461i | ||||
\(400\) | −386.506 | − | 103.022i | −0.966264 | − | 0.257554i | ||||
\(401\) | − | 3.31323i | − | 0.00826241i | −0.999991 | − | 0.00413120i | \(-0.998685\pi\) | ||
0.999991 | − | 0.00413120i | \(-0.00131501\pi\) | |||||||
\(402\) | 443.488 | + | 193.904i | 1.10320 | + | 0.482348i | ||||
\(403\) | 16.2681 | − | 31.9280i | 0.0403676 | − | 0.0792258i | ||||
\(404\) | −153.020 | − | 91.8844i | −0.378763 | − | 0.227437i | ||||
\(405\) | 183.715 | − | 360.935i | 0.453616 | − | 0.891197i | ||||
\(406\) | 52.0521 | + | 1188.30i | 0.128207 | + | 2.92686i | ||||
\(407\) | −222.227 | − | 222.227i | −0.546012 | − | 0.546012i | ||||
\(408\) | 139.675 | − | 99.2628i | 0.342341 | − | 0.243291i | ||||
\(409\) | −347.850 | − | 478.774i | −0.850488 | − | 1.17060i | −0.983755 | − | 0.179516i | \(-0.942547\pi\) |
0.133267 | − | 0.991080i | \(-0.457453\pi\) | |||||||
\(410\) | 2.16058 | − | 127.522i | 0.00526971 | − | 0.311030i | ||||
\(411\) | 229.052 | − | 3.50114i | 0.557304 | − | 0.00851860i | ||||
\(412\) | −224.202 | − | 358.571i | −0.544180 | − | 0.870318i | ||||
\(413\) | −895.759 | − | 141.874i | −2.16891 | − | 0.343521i | ||||
\(414\) | −349.082 | − | 215.938i | −0.843194 | − | 0.521589i | ||||
\(415\) | −290.976 | − | 239.681i | −0.701147 | − | 0.577546i | ||||
\(416\) | 70.1695 | + | 61.9916i | 0.168677 | + | 0.149018i | ||||
\(417\) | 108.493 | − | 221.225i | 0.260176 | − | 0.530516i | ||||
\(418\) | −539.082 | − | 245.581i | −1.28967 | − | 0.587514i | ||||
\(419\) | 45.4422 | + | 14.7651i | 0.108454 | + | 0.0352388i | 0.362741 | − | 0.931890i | \(-0.381841\pi\) |
−0.254287 | + | 0.967129i | \(0.581841\pi\) | |||||||
\(420\) | 443.340 | − | 482.352i | 1.05557 | − | 1.14846i | ||||
\(421\) | −81.4831 | − | 250.779i | −0.193547 | − | 0.595675i | −0.999990 | − | 0.00436444i | \(-0.998611\pi\) |
0.806444 | − | 0.591311i | \(-0.201389\pi\) | |||||||
\(422\) | −163.452 | − | 18.5994i | −0.387326 | − | 0.0440743i | ||||
\(423\) | 40.8177 | − | 320.918i | 0.0964958 | − | 0.758671i | ||||
\(424\) | −7.26989 | + | 13.4031i | −0.0171460 | + | 0.0316112i | ||||
\(425\) | −171.616 | − | 49.0728i | −0.403802 | − | 0.115465i | ||||
\(426\) | 239.985 | + | 153.572i | 0.563344 | + | 0.360497i | ||||
\(427\) | 240.860 | − | 38.1485i | 0.564076 | − | 0.0893408i | ||||
\(428\) | −192.391 | + | 48.0266i | −0.449511 | + | 0.112212i | ||||
\(429\) | −74.5856 | − | 52.4669i | −0.173859 | − | 0.122300i | ||||
\(430\) | 6.00045 | + | 42.5373i | 0.0139545 | + | 0.0989240i | ||||
\(431\) | 4.43307 | − | 13.6436i | 0.0102856 | − | 0.0316557i | −0.945782 | − | 0.324802i | \(-0.894702\pi\) |
0.956068 | + | 0.293146i | \(0.0947023\pi\) | |||||||
\(432\) | 231.096 | − | 364.991i | 0.534945 | − | 0.844887i | ||||
\(433\) | −72.1855 | − | 141.672i | −0.166710 | − | 0.327187i | 0.792504 | − | 0.609866i | \(-0.208777\pi\) |
−0.959215 | + | 0.282679i | \(0.908777\pi\) | |||||||
\(434\) | −223.041 | − | 147.582i | −0.513920 | − | 0.340051i | ||||
\(435\) | 509.741 | − | 638.471i | 1.17182 | − | 1.46775i | ||||
\(436\) | −762.991 | + | 66.9722i | −1.74998 | + | 0.153606i | ||||
\(437\) | 101.708 | − | 642.160i | 0.232742 | − | 1.46947i | ||||
\(438\) | −415.285 | + | 467.482i | −0.948140 | + | 1.06731i | ||||
\(439\) | 408.684 | + | 296.926i | 0.930942 | + | 0.676369i | 0.946223 | − | 0.323514i | \(-0.104864\pi\) |
−0.0152810 | + | 0.999883i | \(0.504864\pi\) | |||||||
\(440\) | 403.285 | + | 100.209i | 0.916557 | + | 0.227747i | ||||
\(441\) | 213.589 | + | 594.848i | 0.484329 | + | 1.34886i | ||||
\(442\) | 30.8085 | + | 28.2227i | 0.0697024 | + | 0.0638522i | ||||
\(443\) | 77.7658 | − | 77.7658i | 0.175544 | − | 0.175544i | −0.613866 | − | 0.789410i | \(-0.710387\pi\) |
0.789410 | + | 0.613866i | \(0.210387\pi\) | |||||||
\(444\) | 314.043 | + | 182.102i | 0.707303 | + | 0.410140i | ||||
\(445\) | 23.5715 | + | 5.21653i | 0.0529696 | + | 0.0117225i | ||||
\(446\) | 3.11105 | − | 2.47537i | 0.00697546 | − | 0.00555015i | ||||
\(447\) | −130.334 | − | 748.651i | −0.291574 | − | 1.67483i | ||||
\(448\) | 518.924 | − | 468.046i | 1.15831 | − | 1.04474i | ||||
\(449\) | −117.314 | −0.261277 | −0.130639 | − | 0.991430i | \(-0.541703\pi\) | ||||
−0.130639 | + | 0.991430i | \(0.541703\pi\) | |||||||
\(450\) | −447.281 | + | 49.3957i | −0.993957 | + | 0.109768i | ||||
\(451\) | 132.498i | 0.293788i | ||||||||
\(452\) | 196.927 | − | 234.825i | 0.435680 | − | 0.519524i | ||||
\(453\) | −680.198 | + | 118.417i | −1.50154 | + | 0.261405i | ||||
\(454\) | 445.048 | − | 354.111i | 0.980282 | − | 0.779979i | ||||
\(455\) | 137.670 | + | 81.0252i | 0.302571 | + | 0.178077i | ||||
\(456\) | 674.681 | + | 114.111i | 1.47956 | + | 0.250244i | ||||
\(457\) | −571.115 | − | 571.115i | −1.24971 | − | 1.24971i | −0.955850 | − | 0.293855i | \(-0.905062\pi\) |
−0.293855 | − | 0.955850i | \(-0.594938\pi\) | |||||||
\(458\) | 25.0758 | + | 22.9712i | 0.0547507 | + | 0.0501554i | ||||
\(459\) | 106.042 | − | 160.987i | 0.231028 | − | 0.350734i | ||||
\(460\) | 12.2373 | + | 455.916i | 0.0266028 | + | 0.991122i | ||||
\(461\) | −252.407 | + | 347.409i | −0.547521 | + | 0.753598i | −0.989673 | − | 0.143342i | \(-0.954215\pi\) |
0.442152 | + | 0.896940i | \(0.354215\pi\) | |||||||
\(462\) | −452.018 | + | 508.832i | −0.978394 | + | 1.10137i | ||||
\(463\) | 53.9209 | + | 8.54023i | 0.116460 | + | 0.0184454i | 0.214392 | − | 0.976748i | \(-0.431223\pi\) |
−0.0979325 | + | 0.995193i | \(0.531223\pi\) | |||||||
\(464\) | 605.011 | − | 627.222i | 1.30390 | − | 1.35177i | ||||
\(465\) | 48.7736 | + | 177.109i | 0.104889 | + | 0.380879i | ||||
\(466\) | 662.796 | + | 438.560i | 1.42231 | + | 0.941115i | ||||
\(467\) | 189.780 | − | 96.6978i | 0.406381 | − | 0.207062i | −0.238837 | − | 0.971060i | \(-0.576766\pi\) |
0.645219 | + | 0.763998i | \(0.276766\pi\) | |||||||
\(468\) | 98.8353 | + | 36.4275i | 0.211187 | + | 0.0778364i | ||||
\(469\) | 837.738 | + | 272.198i | 1.78622 | + | 0.580379i | ||||
\(470\) | −322.989 | + | 157.737i | −0.687211 | + | 0.335611i | ||||
\(471\) | 308.291 | − | 438.259i | 0.654546 | − | 0.930486i | ||||
\(472\) | 376.595 | + | 547.447i | 0.797870 | + | 1.15985i | ||||
\(473\) | −6.98141 | − | 44.0789i | −0.0147598 | − | 0.0931900i | ||||
\(474\) | 697.993 | + | 446.662i | 1.47256 | + | 0.942325i | ||||
\(475\) | −346.020 | − | 623.150i | −0.728464 | − | 1.31190i | ||||
\(476\) | 235.289 | − | 204.651i | 0.494304 | − | 0.429939i | ||||
\(477\) | −2.16436 | + | 17.0167i | −0.00453745 | + | 0.0356744i | ||||
\(478\) | 747.576 | + | 85.0676i | 1.56397 | + | 0.177966i | ||||
\(479\) | −344.803 | + | 112.033i | −0.719840 | + | 0.233890i | −0.645954 | − | 0.763376i | \(-0.723540\pi\) |
−0.0738862 | + | 0.997267i | \(0.523540\pi\) | |||||||
\(480\) | −479.936 | + | 7.85555i | −0.999866 | + | 0.0163657i | ||||
\(481\) | −27.3528 | + | 84.1831i | −0.0568664 | + | 0.175017i | ||||
\(482\) | 51.9438 | + | 23.6632i | 0.107767 | + | 0.0490938i | ||||
\(483\) | −670.683 | − | 328.917i | −1.38858 | − | 0.680987i | ||||
\(484\) | 50.9613 | + | 11.7501i | 0.105292 | + | 0.0242770i | ||||
\(485\) | 1.25656 | − | 20.6699i | 0.00259084 | − | 0.0426184i | ||||
\(486\) | 93.6759 | − | 476.887i | 0.192749 | − | 0.981248i | ||||
\(487\) | 45.6254 | − | 288.067i | 0.0936866 | − | 0.591514i | −0.895524 | − | 0.445013i | \(-0.853199\pi\) |
0.989211 | − | 0.146501i | \(-0.0468010\pi\) | |||||||
\(488\) | −141.794 | − | 108.706i | −0.290562 | − | 0.222759i | ||||
\(489\) | −6.53558 | − | 427.571i | −0.0133652 | − | 0.874378i | ||||
\(490\) | 422.342 | − | 561.065i | 0.861923 | − | 1.14503i | ||||
\(491\) | −186.653 | + | 135.611i | −0.380149 | + | 0.276194i | −0.761407 | − | 0.648274i | \(-0.775491\pi\) |
0.381258 | + | 0.924469i | \(0.375491\pi\) | |||||||
\(492\) | −39.3334 | − | 147.908i | −0.0799459 | − | 0.300626i | ||||
\(493\) | 274.977 | − | 274.977i | 0.557764 | − | 0.557764i | ||||
\(494\) | 7.30139 | + | 166.684i | 0.0147801 | + | 0.337417i | ||||
\(495\) | 463.731 | − | 59.1801i | 0.936831 | − | 0.119556i | ||||
\(496\) | 34.1361 | + | 192.952i | 0.0688229 | + | 0.389017i | ||||
\(497\) | 461.988 | + | 235.395i | 0.929554 | + | 0.473632i | ||||
\(498\) | −414.490 | − | 181.225i | −0.832309 | − | 0.363906i | ||||
\(499\) | 51.9462 | 0.104101 | 0.0520503 | − | 0.998644i | \(-0.483424\pi\) | ||||
0.0520503 | + | 0.998644i | \(0.483424\pi\) | |||||||
\(500\) | 318.577 | + | 385.369i | 0.637153 | + | 0.770737i | ||||
\(501\) | 189.009 | + | 251.959i | 0.377264 | + | 0.502912i | ||||
\(502\) | −344.756 | − | 609.151i | −0.686765 | − | 1.21345i | ||||
\(503\) | −189.198 | − | 96.4013i | −0.376139 | − | 0.191653i | 0.255692 | − | 0.966758i | \(-0.417697\pi\) |
−0.631832 | + | 0.775106i | \(0.717697\pi\) | |||||||
\(504\) | 353.537 | − | 702.195i | 0.701462 | − | 1.39324i | ||||
\(505\) | 89.0404 | + | 204.572i | 0.176318 | + | 0.405093i | ||||
\(506\) | −20.7347 | − | 473.355i | −0.0409777 | − | 0.935484i | ||||
\(507\) | 68.0200 | − | 476.486i | 0.134162 | − | 0.939814i | ||||
\(508\) | 258.901 | − | 641.329i | 0.509648 | − | 1.26246i | ||||
\(509\) | −506.237 | + | 367.803i | −0.994573 | + | 0.722599i | −0.960918 | − | 0.276834i | \(-0.910715\pi\) |
−0.0336549 | + | 0.999434i | \(0.510715\pi\) | |||||||
\(510\) | −214.193 | − | 0.354908i | −0.419985 | − | 0.000695899i | ||||
\(511\) | −668.870 | + | 920.621i | −1.30894 | + | 1.80161i | ||||
\(512\) | −510.473 | − | 39.5163i | −0.997017 | − | 0.0771802i | ||||
\(513\) | 753.999 | − | 155.146i | 1.46978 | − | 0.302429i | ||||
\(514\) | −559.539 | − | 155.088i | −1.08860 | − | 0.301728i | ||||
\(515\) | −32.0763 | + | 527.644i | −0.0622841 | + | 1.02455i | ||||
\(516\) | 20.8786 | + | 47.1328i | 0.0404623 | + | 0.0913427i | ||||
\(517\) | 332.720 | − | 169.529i | 0.643559 | − | 0.327910i | ||||
\(518\) | 601.196 | + | 273.878i | 1.16061 | + | 0.528721i | ||||
\(519\) | −452.354 | + | 154.661i | −0.871587 | + | 0.297998i | ||||
\(520\) | −26.4188 | − | 114.018i | −0.0508054 | − | 0.219265i | ||||
\(521\) | 198.156 | − | 64.3849i | 0.380339 | − | 0.123580i | −0.112607 | − | 0.993640i | \(-0.535920\pi\) |
0.492946 | + | 0.870060i | \(0.335920\pi\) | |||||||
\(522\) | 378.978 | − | 904.184i | 0.726011 | − | 1.73215i | ||||
\(523\) | 127.146 | + | 802.769i | 0.243109 | + | 1.53493i | 0.743265 | + | 0.668997i | \(0.233276\pi\) |
−0.500156 | + | 0.865935i | \(0.666724\pi\) | |||||||
\(524\) | −14.4307 | − | 16.5911i | −0.0275395 | − | 0.0316623i | ||||
\(525\) | −801.276 | + | 169.119i | −1.52624 | + | 0.322132i | ||||
\(526\) | 370.932 | − | 138.746i | 0.705193 | − | 0.263775i | ||||
\(527\) | 13.6785 | + | 86.3626i | 0.0259554 | + | 0.163876i | ||||
\(528\) | 498.382 | − | 16.6060i | 0.943905 | − | 0.0314508i | ||||
\(529\) | −8.53705 | + | 2.77385i | −0.0161381 | + | 0.00524358i | ||||
\(530\) | 17.1265 | − | 8.36402i | 0.0323142 | − | 0.0157812i | ||||
\(531\) | 617.911 | + | 420.698i | 1.16367 | + | 0.792275i | ||||
\(532\) | 1242.24 | + | 86.5102i | 2.33504 | + | 0.162613i | ||||
\(533\) | 33.2505 | − | 16.9420i | 0.0623837 | − | 0.0317861i | ||||
\(534\) | 28.9196 | − | 1.70998i | 0.0541566 | − | 0.00320221i | ||||
\(535\) | 230.654 | + | 90.7587i | 0.431130 | + | 0.169642i | ||||
\(536\) | −278.087 | − | 582.380i | −0.518819 | − | 1.08653i | ||||
\(537\) | 183.955 | + | 347.786i | 0.342560 | + | 0.647646i | ||||
\(538\) | −316.350 | + | 64.4090i | −0.588011 | + | 0.119719i | ||||
\(539\) | −428.822 | + | 590.223i | −0.795589 | + | 1.09503i | ||||
\(540\) | −500.096 | + | 203.726i | −0.926103 | + | 0.377270i | ||||
\(541\) | 743.380 | − | 540.097i | 1.37409 | − | 0.998332i | 0.376680 | − | 0.926343i | \(-0.377066\pi\) |
0.997405 | − | 0.0719883i | \(-0.0229344\pi\) | |||||||
\(542\) | −148.247 | − | 135.804i | −0.273518 | − | 0.250561i | ||||
\(543\) | −578.158 | − | 82.5341i | −1.06475 | − | 0.151996i | ||||
\(544\) | −227.436 | − | 21.7360i | −0.418081 | − | 0.0399559i | ||||
\(545\) | 825.108 | + | 485.615i | 1.51396 | + | 0.891037i | ||||
\(546\) | 185.489 | + | 48.3720i | 0.339723 | + | 0.0885934i | ||||
\(547\) | −462.003 | − | 235.402i | −0.844612 | − | 0.430351i | −0.0225478 | − | 0.999746i | \(-0.507178\pi\) |
−0.822065 | + | 0.569394i | \(0.807178\pi\) | |||||||
\(548\) | −234.035 | − | 196.265i | −0.427072 | − | 0.358148i | ||||
\(549\) | −192.974 | − | 56.2416i | −0.351502 | − | 0.102444i | ||||
\(550\) | −337.695 | − | 394.684i | −0.613990 | − | 0.717608i | ||||
\(551\) | 1552.89 | 2.81831 | ||||||||
\(552\) | 163.666 | + | 522.252i | 0.296496 | + | 0.946109i | ||||
\(553\) | 1343.69 | + | 684.644i | 2.42982 | + | 1.23805i | ||||
\(554\) | −386.477 | + | 307.507i | −0.697611 | + | 0.555067i | ||||
\(555\) | −187.434 | − | 413.256i | −0.337720 | − | 0.744606i | ||||
\(556\) | −302.376 | + | 128.453i | −0.543842 | + | 0.231030i | ||||
\(557\) | −476.593 | + | 476.593i | −0.855643 | + | 0.855643i | −0.990821 | − | 0.135179i | \(-0.956839\pi\) |
0.135179 | + | 0.990821i | \(0.456839\pi\) | |||||||
\(558\) | 114.391 | + | 188.439i | 0.205002 | + | 0.337705i | ||||
\(559\) | −10.1689 | + | 7.38815i | −0.0181913 | + | 0.0132167i | ||||
\(560\) | −867.816 | + | 99.7014i | −1.54967 | + | 0.178038i | ||||
\(561\) | 222.493 | − | 3.40089i | 0.396600 | − | 0.00606218i | ||||
\(562\) | −57.6612 | − | 283.207i | −0.102600 | − | 0.503927i | ||||
\(563\) | −62.4165 | + | 394.082i | −0.110864 | + | 0.699969i | 0.868169 | + | 0.496268i | \(0.165297\pi\) |
−0.979033 | + | 0.203700i | \(0.934703\pi\) | |||||||
\(564\) | −321.090 | + | 288.017i | −0.569308 | + | 0.510668i | ||||
\(565\) | −370.848 | + | 96.0541i | −0.656369 | + | 0.170007i | ||||
\(566\) | 626.014 | + | 414.222i | 1.10603 | + | 0.731840i | ||||
\(567\) | 84.7260 | − | 880.376i | 0.149429 | − | 1.55269i | ||||
\(568\) | −108.050 | − | 364.198i | −0.190228 | − | 0.641193i | ||||
\(569\) | 23.1565 | − | 71.2684i | 0.0406968 | − | 0.125252i | −0.928644 | − | 0.370972i | \(-0.879024\pi\) |
0.969341 | + | 0.245720i | \(0.0790245\pi\) | |||||||
\(570\) | −603.806 | − | 605.810i | −1.05931 | − | 1.06282i | ||||
\(571\) | −41.2455 | + | 13.4015i | −0.0722338 | + | 0.0234702i | −0.344911 | − | 0.938635i | \(-0.612091\pi\) |
0.272677 | + | 0.962106i | \(0.412091\pi\) | |||||||
\(572\) | 29.4484 | + | 117.968i | 0.0514832 | + | 0.206238i | ||||
\(573\) | −655.861 | − | 636.113i | −1.14461 | − | 1.11015i | ||||
\(574\) | −97.5787 | − | 260.873i | −0.169998 | − | 0.454482i | ||||
\(575\) | 318.447 | − | 472.870i | 0.553820 | − | 0.822383i | ||||
\(576\) | −551.415 | + | 166.487i | −0.957317 | + | 0.289039i | ||||
\(577\) | −15.1624 | − | 95.7319i | −0.0262781 | − | 0.165913i | 0.971059 | − | 0.238838i | \(-0.0767666\pi\) |
−0.997337 | + | 0.0729251i | \(0.976767\pi\) | |||||||
\(578\) | 472.995 | + | 53.8227i | 0.818331 | + | 0.0931189i | ||||
\(579\) | 652.611 | + | 459.076i | 1.12713 | + | 0.792877i | ||||
\(580\) | −1070.96 | + | 199.215i | −1.84648 | + | 0.343475i | ||||
\(581\) | −782.961 | − | 254.399i | −1.34761 | − | 0.437865i | ||||
\(582\) | −5.32928 | − | 24.2715i | −0.00915684 | − | 0.0417036i | ||||
\(583\) | −17.6425 | + | 8.98930i | −0.0302616 | + | 0.0154190i | ||||
\(584\) | 826.556 | − | 109.178i | 1.41534 | − | 0.186948i | ||||
\(585\) | −74.1465 | − | 108.806i | −0.126746 | − | 0.185994i | ||||
\(586\) | −131.270 | + | 473.606i | −0.224010 | + | 0.808202i | ||||
\(587\) | 274.943 | + | 43.5466i | 0.468386 | + | 0.0741850i | 0.386166 | − | 0.922429i | \(-0.373799\pi\) |
0.0822196 | + | 0.996614i | \(0.473799\pi\) | |||||||
\(588\) | 303.482 | − | 786.167i | 0.516126 | − | 1.33702i | ||||
\(589\) | −205.236 | + | 282.483i | −0.348447 | + | 0.479597i | ||||
\(590\) | 14.0704 | − | 830.470i | 0.0238482 | − | 1.40758i | ||||
\(591\) | 203.105 | − | 659.208i | 0.343663 | − | 1.11541i | ||||
\(592\) | −157.845 | − | 457.567i | −0.266630 | − | 0.772917i | ||||
\(593\) | −107.434 | − | 107.434i | −0.181170 | − | 0.181170i | 0.610695 | − | 0.791866i | \(-0.290890\pi\) |
−0.791866 | + | 0.610695i | \(0.790890\pi\) | |||||||
\(594\) | 515.875 | − | 220.416i | 0.868477 | − | 0.371070i | ||||
\(595\) | −387.989 | + | 37.5038i | −0.652082 | + | 0.0630317i | ||||
\(596\) | −521.597 | + | 868.643i | −0.875162 | + | 1.45746i | ||||
\(597\) | 193.073 | + | 1109.03i | 0.323405 | + | 1.85767i | ||||
\(598\) | −116.137 | + | 65.7292i | −0.194210 | + | 0.109915i | ||||
\(599\) | 609.730i | 1.01791i | 0.860792 | + | 0.508957i | \(0.169969\pi\) | ||||
−0.860792 | + | 0.508957i | \(0.830031\pi\) | |||||||
\(600\) | 494.135 | + | 340.339i | 0.823558 | + | 0.567232i | ||||
\(601\) | 261.189 | 0.434590 | 0.217295 | − | 0.976106i | \(-0.430277\pi\) | ||||
0.217295 | + | 0.976106i | \(0.430277\pi\) | |||||||
\(602\) | 46.2075 | + | 81.6442i | 0.0767566 | + | 0.135622i | ||||
\(603\) | −528.838 | − | 497.456i | −0.877011 | − | 0.824968i | ||||
\(604\) | 789.219 | + | 473.904i | 1.30665 | + | 0.784610i | ||||
\(605\) | −43.3356 | − | 48.9455i | −0.0716290 | − | 0.0809016i | ||||
\(606\) | 169.879 | + | 206.933i | 0.280329 | + | 0.341474i | ||||
\(607\) | 197.605 | − | 197.605i | 0.325544 | − | 0.325544i | −0.525345 | − | 0.850889i | \(-0.676064\pi\) |
0.850889 | + | 0.525345i | \(0.176064\pi\) | |||||||
\(608\) | −580.828 | − | 703.578i | −0.955309 | − | 1.15720i | ||||
\(609\) | 525.339 | − | 1705.07i | 0.862625 | − | 2.79979i | ||||
\(610\) | 65.4067 | + | 213.545i | 0.107224 | + | 0.350073i | ||||
\(611\) | −85.0869 | − | 61.8192i | −0.139258 | − | 0.101177i | ||||
\(612\) | −247.360 | + | 69.8454i | −0.404182 | + | 0.114127i | ||||
\(613\) | −46.8339 | + | 295.698i | −0.0764012 | + | 0.482378i | 0.919587 | + | 0.392888i | \(0.128524\pi\) |
−0.995988 | + | 0.0894904i | \(0.971476\pi\) | |||||||
\(614\) | −731.773 | − | 202.826i | −1.19181 | − | 0.330336i | ||||
\(615\) | −67.3209 | + | 179.075i | −0.109465 | + | 0.291179i | ||||
\(616\) | 899.666 | − | 118.835i | 1.46050 | − | 0.192913i | ||||
\(617\) | 110.041 | + | 215.968i | 0.178349 | + | 0.350029i | 0.962823 | − | 0.270132i | \(-0.0870673\pi\) |
−0.784475 | + | 0.620161i | \(0.787067\pi\) | |||||||
\(618\) | 136.041 | + | 619.582i | 0.220132 | + | 1.00256i | ||||
\(619\) | 187.951 | − | 578.455i | 0.303637 | − | 0.934499i | −0.676545 | − | 0.736401i | \(-0.736524\pi\) |
0.980182 | − | 0.198098i | \(-0.0634764\pi\) | |||||||
\(620\) | 105.303 | − | 221.144i | 0.169843 | − | 0.356685i | ||||
\(621\) | 384.356 | + | 481.007i | 0.618931 | + | 0.774568i | ||||
\(622\) | 57.5456 | − | 505.712i | 0.0925171 | − | 0.813042i | ||||
\(623\) | 52.0720 | − | 8.24740i | 0.0835827 | − | 0.0132382i | ||||
\(624\) | −67.8931 | − | 122.946i | −0.108803 | − | 0.197028i | ||||
\(625\) | −44.5196 | − | 623.412i | −0.0712313 | − | 0.997460i | ||||
\(626\) | −418.804 | + | 156.652i | −0.669015 | + | 0.250243i | ||||
\(627\) | 637.848 | + | 618.642i | 1.01730 | + | 0.986670i | ||||
\(628\) | −693.170 | + | 173.036i | −1.10377 | + | 0.275536i | ||||
\(629\) | −66.7446 | − | 205.419i | −0.106112 | − | 0.326580i | ||||
\(630\) | −869.445 | + | 458.034i | −1.38007 | + | 0.727038i | ||||
\(631\) | 48.0153 | + | 15.6011i | 0.0760940 | + | 0.0247245i | 0.346817 | − | 0.937933i | \(-0.387263\pi\) |
−0.270723 | + | 0.962657i | \(0.587263\pi\) | |||||||
\(632\) | −314.261 | − | 1059.26i | −0.497249 | − | 1.67605i | ||||
\(633\) | 221.551 | + | 108.653i | 0.350002 | + | 0.171648i | ||||
\(634\) | −290.987 | + | 439.769i | −0.458969 | + | 0.693642i | ||||
\(635\) | −728.957 | + | 464.776i | −1.14796 | + | 0.731930i | ||||
\(636\) | 17.0258 | − | 15.2721i | 0.0267701 | − | 0.0240127i | ||||
\(637\) | 202.948 | + | 32.1439i | 0.318600 | + | 0.0504613i | ||||
\(638\) | 1108.92 | − | 225.777i | 1.73812 | − | 0.353882i | ||||
\(639\) | −261.654 | − | 337.913i | −0.409474 | − | 0.528816i | ||||
\(640\) | 490.830 | + | 410.713i | 0.766923 | + | 0.641740i | ||||
\(641\) | 352.701 | + | 485.451i | 0.550235 | + | 0.757334i | 0.990044 | − | 0.140758i | \(-0.0449538\pi\) |
−0.439809 | + | 0.898091i | \(0.644954\pi\) | |||||||
\(642\) | 296.014 | + | 29.1085i | 0.461081 | + | 0.0453403i | ||||
\(643\) | −0.591149 | − | 0.591149i | −0.000919361 | − | 0.000919361i | 0.706647 | − | 0.707566i | \(-0.250207\pi\) |
−0.707566 | + | 0.706647i | \(0.750207\pi\) | |||||||
\(644\) | 389.427 | + | 916.706i | 0.604701 | + | 1.42346i | ||||
\(645\) | 12.9604 | − | 63.1209i | 0.0200937 | − | 0.0978618i | ||||
\(646\) | −253.485 | − | 318.581i | −0.392392 | − | 0.493160i | ||||
\(647\) | −432.414 | + | 848.660i | −0.668337 | + | 1.31168i | 0.268960 | + | 0.963151i | \(0.413320\pi\) |
−0.937296 | + | 0.348533i | \(0.886680\pi\) | |||||||
\(648\) | −510.440 | + | 399.193i | −0.787717 | + | 0.616038i | ||||
\(649\) | 862.875i | 1.32955i | ||||||||
\(650\) | −55.8666 | + | 135.211i | −0.0859487 | + | 0.208017i | ||||
\(651\) | 240.735 | + | 320.912i | 0.369792 | + | 0.492952i | ||||
\(652\) | −366.368 | + | 436.873i | −0.561914 | + | 0.670051i | ||||
\(653\) | 266.932 | − | 523.883i | 0.408778 | − | 0.802272i | −0.591213 | − | 0.806515i | \(-0.701351\pi\) |
0.999991 | + | 0.00424370i | \(0.00135082\pi\) | |||||||
\(654\) | 1111.71 | + | 289.912i | 1.69986 | + | 0.443290i | ||||
\(655\) | 2.64453 | + | 27.3585i | 0.00403745 | + | 0.0417687i | ||||
\(656\) | −89.3517 | + | 183.464i | −0.136207 | + | 0.279670i | ||||
\(657\) | 822.316 | − | 451.165i | 1.25162 | − | 0.686705i | ||||
\(658\) | −530.234 | + | 578.814i | −0.805826 | + | 0.879657i | ||||
\(659\) | −353.963 | − | 487.189i | −0.537122 | − | 0.739285i | 0.451073 | − | 0.892487i | \(-0.351041\pi\) |
−0.988195 | + | 0.153202i | \(0.951041\pi\) | |||||||
\(660\) | −519.259 | − | 344.822i | −0.786755 | − | 0.522457i | ||||
\(661\) | −646.649 | − | 469.818i | −0.978289 | − | 0.710769i | −0.0209634 | − | 0.999780i | \(-0.506673\pi\) |
−0.957326 | + | 0.289012i | \(0.906673\pi\) | |||||||
\(662\) | 131.925 | + | 647.961i | 0.199283 | + | 0.978794i | ||||
\(663\) | −29.3026 | − | 55.3998i | −0.0441970 | − | 0.0835593i | ||||
\(664\) | 259.903 | + | 544.300i | 0.391421 | + | 0.819729i | ||||
\(665\) | −1201.45 | − | 989.652i | −1.80669 | − | 1.48820i | ||||
\(666\) | −351.904 | − | 415.545i | −0.528385 | − | 0.623941i | ||||
\(667\) | 563.880 | + | 1106.68i | 0.845397 | + | 1.65919i | ||||
\(668\) | 29.1757 | − | 418.949i | 0.0436762 | − | 0.627169i | ||||
\(669\) | −5.64283 | + | 1.92930i | −0.00843472 | + | 0.00288386i | ||||
\(670\) | −139.677 | + | 794.525i | −0.208473 | + | 1.18586i | ||||
\(671\) | −71.6976 | − | 220.662i | −0.106852 | − | 0.328856i | ||||
\(672\) | −969.021 | + | 399.729i | −1.44200 | + | 0.594835i | ||||
\(673\) | −452.043 | + | 71.5966i | −0.671684 | + | 0.106384i | −0.482955 | − | 0.875645i | \(-0.660437\pi\) |
−0.188728 | + | 0.982029i | \(0.560437\pi\) | |||||||
\(674\) | 66.7163 | + | 178.363i | 0.0989856 | + | 0.264634i | ||||
\(675\) | 656.813 | + | 155.633i | 0.973056 | + | 0.230568i | ||||
\(676\) | −484.219 | + | 421.167i | −0.716300 | + | 0.623028i | ||||
\(677\) | 919.328 | − | 145.607i | 1.35794 | − | 0.215077i | 0.565362 | − | 0.824843i | \(-0.308736\pi\) |
0.792582 | + | 0.609765i | \(0.208736\pi\) | |||||||
\(678\) | −396.566 | + | 232.514i | −0.584905 | + | 0.342941i | ||||
\(679\) | −13.9745 | − | 43.0092i | −0.0205811 | − | 0.0633420i | ||||
\(680\) | 215.687 | + | 187.192i | 0.317187 | + | 0.275283i | ||||
\(681\) | −807.228 | + | 275.994i | −1.18536 | + | 0.405277i | ||||
\(682\) | −105.489 | + | 231.561i | −0.154675 | + | 0.339532i | ||||
\(683\) | 123.844 | + | 243.058i | 0.181324 | + | 0.355869i | 0.963721 | − | 0.266911i | \(-0.0860031\pi\) |
−0.782397 | + | 0.622780i | \(0.786003\pi\) | |||||||
\(684\) | −895.680 | − | 501.240i | −1.30947 | − | 0.732807i | ||||
\(685\) | 95.7311 | + | 369.601i | 0.139754 | + | 0.539564i | ||||
\(686\) | 123.810 | − | 446.691i | 0.180481 | − | 0.651154i | ||||
\(687\) | −23.8502 | − | 45.0913i | −0.0347164 | − | 0.0656351i | ||||
\(688\) | 20.0583 | − | 65.7416i | 0.0291544 | − | 0.0955547i | ||||
\(689\) | 4.51173 | + | 3.27797i | 0.00654824 | + | 0.00475757i | ||||
\(690\) | 212.483 | − | 650.286i | 0.307946 | − | 0.942444i | ||||
\(691\) | −660.127 | − | 908.587i | −0.955322 | − | 1.31489i | −0.949123 | − | 0.314907i | \(-0.898027\pi\) |
−0.00619894 | − | 0.999981i | \(-0.501973\pi\) | |||||||
\(692\) | 591.071 | + | 238.612i | 0.854148 | + | 0.344815i | ||||
\(693\) | 895.051 | − | 491.071i | 1.29156 | − | 0.708616i | ||||
\(694\) | −502.946 | + | 22.0309i | −0.724706 | + | 0.0317449i | ||||
\(695\) | 400.960 | + | 88.7352i | 0.576921 | + | 0.127677i | ||||
\(696\) | −1170.87 | + | 581.228i | −1.68228 | + | 0.835098i | ||||
\(697\) | −41.3408 | + | 81.1360i | −0.0593125 | + | 0.116407i | ||||
\(698\) | 847.754 | − | 479.796i | 1.21455 | − | 0.687386i | ||||
\(699\) | −715.375 | − | 953.632i | −1.02343 | − | 1.36428i | ||||
\(700\) | 955.544 | + | 528.388i | 1.36506 | + | 0.754840i | ||||
\(701\) | − | 493.020i | − | 0.703310i | −0.936130 | − | 0.351655i | \(-0.885619\pi\) | ||
0.936130 | − | 0.351655i | \(-0.114381\pi\) | |||||||
\(702\) | −121.276 | − | 101.276i | −0.172758 | − | 0.144267i | ||||
\(703\) | 391.569 | − | 768.498i | 0.556997 | − | 1.09317i | ||||
\(704\) | −517.065 | − | 417.979i | −0.734467 | − | 0.593720i | ||||
\(705\) | 535.815 | − | 60.0719i | 0.760022 | − | 0.0852084i | ||||
\(706\) | 1249.77 | − | 54.7447i | 1.77021 | − | 0.0775420i | ||||
\(707\) | 344.523 | + | 344.523i | 0.487303 | + | 0.487303i | ||||
\(708\) | −256.152 | − | 963.229i | −0.361797 | − | 1.36049i | ||||
\(709\) | 685.249 | + | 943.164i | 0.966501 | + | 1.33027i | 0.943795 | + | 0.330532i | \(0.107228\pi\) |
0.0227056 | + | 0.999742i | \(0.492772\pi\) | |||||||
\(710\) | −154.369 | + | 449.068i | −0.217421 | + | 0.632490i | ||||
\(711\) | −761.018 | − | 982.817i | −1.07035 | − | 1.38230i | ||||
\(712\) | −30.6548 | − | 23.5014i | −0.0430545 | − | 0.0330076i | ||||
\(713\) | −275.838 | − | 43.6884i | −0.386869 | − | 0.0612741i | ||||
\(714\) | −435.556 | + | 170.551i | −0.610022 | + | 0.238867i | ||||
\(715\) | 55.6504 | − | 141.430i | 0.0778327 | − | 0.197804i | ||||
\(716\) | 117.860 | − | 511.174i | 0.164610 | − | 0.713931i | ||||
\(717\) | −1013.30 | − | 496.945i | −1.41326 | − | 0.693090i | ||||
\(718\) | 23.3612 | − | 51.2809i | 0.0325366 | − | 0.0714219i | ||||
\(719\) | 18.3589 | + | 5.96518i | 0.0255340 | + | 0.00829650i | 0.321756 | − | 0.946823i | \(-0.395727\pi\) |
−0.296222 | + | 0.955119i | \(0.595727\pi\) | |||||||
\(720\) | 682.013 | + | 230.778i | 0.947240 | + | 0.320526i | ||||
\(721\) | 356.730 | + | 1097.90i | 0.494771 | + | 1.52275i | ||||
\(722\) | 102.179 | − | 897.954i | 0.141523 | − | 1.24370i | ||||
\(723\) | −61.4605 | − | 59.6099i | −0.0850076 | − | 0.0824480i | ||||
\(724\) | 511.036 | + | 587.541i | 0.705851 | + | 0.811521i | ||||
\(725\) | 1234.51 | + | 574.550i | 1.70277 | + | 0.792482i | ||||
\(726\) | −66.0765 | − | 42.2839i | −0.0910144 | − | 0.0582422i | ||||
\(727\) | −327.158 | + | 51.8167i | −0.450011 | + | 0.0712747i | −0.377326 | − | 0.926080i | \(-0.623157\pi\) |
−0.0726842 | + | 0.997355i | \(0.523157\pi\) | |||||||
\(728\) | −144.858 | − | 210.576i | −0.198981 | − | 0.289253i | ||||
\(729\) | −372.685 | + | 626.535i | −0.511228 | + | 0.859445i | ||||
\(730\) | −920.431 | − | 488.797i | −1.26086 | − | 0.669585i | ||||
\(731\) | 9.47796 | − | 29.1701i | 0.0129657 | − | 0.0399044i | ||||
\(732\) | 145.542 | + | 225.042i | 0.198828 | + | 0.307434i | ||||
\(733\) | 240.696 | + | 472.393i | 0.328371 | + | 0.644465i | 0.994883 | − | 0.101029i | \(-0.0322136\pi\) |
−0.666512 | + | 0.745494i | \(0.732214\pi\) | |||||||
\(734\) | −424.231 | + | 641.142i | −0.577972 | + | 0.873491i | ||||
\(735\) | −879.450 | + | 579.822i | −1.19653 | + | 0.788873i | ||||
\(736\) | 290.502 | − | 669.412i | 0.394703 | − | 0.909528i | ||||
\(737\) | 131.103 | − | 827.749i | 0.177887 | − | 1.12313i | ||||
\(738\) | −18.9722 | + | 228.788i | −0.0257076 | + | 0.310011i | ||||
\(739\) | −365.023 | − | 265.205i | −0.493942 | − | 0.358870i | 0.312756 | − | 0.949833i | \(-0.398748\pi\) |
−0.806698 | + | 0.590963i | \(0.798748\pi\) | |||||||
\(740\) | −171.459 | + | 580.231i | −0.231702 | + | 0.784096i | ||||
\(741\) | 73.6896 | − | 239.171i | 0.0994462 | − | 0.322768i | ||||
\(742\) | 28.1157 | − | 30.6916i | 0.0378917 | − | 0.0413634i | ||||
\(743\) | −618.587 | + | 618.587i | −0.832553 | + | 0.832553i | −0.987865 | − | 0.155312i | \(-0.950362\pi\) |
0.155312 | + | 0.987865i | \(0.450362\pi\) | |||||||
\(744\) | 49.0161 | − | 289.807i | 0.0658818 | − | 0.389526i | ||||
\(745\) | 1161.29 | − | 505.452i | 1.55877 | − | 0.678460i | ||||
\(746\) | −142.200 | − | 178.718i | −0.190617 | − | 0.239568i | ||||
\(747\) | 494.258 | + | 464.928i | 0.661658 | + | 0.622394i | ||||
\(748\) | −227.333 | − | 190.645i | −0.303922 | − | 0.254873i | ||||
\(749\) | 541.297 | 0.722693 | ||||||||
\(750\) | −255.868 | − | 705.005i | −0.341158 | − | 0.940006i | ||||
\(751\) | 401.683i | 0.534865i | 0.963577 | + | 0.267432i | \(0.0861752\pi\) | ||||
−0.963577 | + | 0.267432i | \(0.913825\pi\) | |||||||
\(752\) | 575.024 | − | 10.3650i | 0.764659 | − | 0.0137833i | ||||
\(753\) | 180.073 | + | 1034.36i | 0.239141 | + | 1.37365i | ||||
\(754\) | −198.451 | − | 249.415i | −0.263198 | − | 0.330789i | ||||
\(755\) | −459.236 | − | 1055.10i | −0.608260 | − | 1.39749i | ||||
\(756\) | −853.368 | + | 813.888i | −1.12879 | + | 1.07657i | ||||
\(757\) | 103.330 | + | 103.330i | 0.136499 | + | 0.136499i | 0.772055 | − | 0.635556i | \(-0.219229\pi\) |
−0.635556 | + | 0.772055i | \(0.719229\pi\) | |||||||
\(758\) | −215.214 | + | 234.932i | −0.283923 | + | 0.309936i | ||||
\(759\) | −209.266 | + | 679.206i | −0.275713 | + | 0.894870i | ||||
\(760\) | 80.4599 | + | 1137.60i | 0.105868 | + | 1.49684i | ||||
\(761\) | −212.893 | + | 293.022i | −0.279754 | + | 0.385048i | −0.925652 | − | 0.378375i | \(-0.876483\pi\) |
0.645898 | + | 0.763423i | \(0.276483\pi\) | |||||||
\(762\) | −688.991 | + | 775.590i | −0.904187 | + | 1.01783i | ||||
\(763\) | 2065.05 | + | 327.072i | 2.70649 | + | 0.428666i | ||||
\(764\) | 106.521 | + | 1213.56i | 0.139426 | + | 1.58843i | ||||
\(765\) | 302.433 | + | 108.450i | 0.395337 | + | 0.141764i | ||||
\(766\) | 283.034 | − | 427.750i | 0.369496 | − | 0.558421i | ||||
\(767\) | 216.539 | − | 110.332i | 0.282319 | − | 0.143849i | ||||
\(768\) | 701.281 | + | 313.095i | 0.913126 | + | 0.407676i | ||||
\(769\) | −1140.40 | − | 370.539i | −1.48297 | − | 0.481846i | −0.547970 | − | 0.836498i | \(-0.684599\pi\) |
−0.934998 | + | 0.354652i | \(0.884599\pi\) | |||||||
\(770\) | −1001.84 | − | 532.032i | −1.30110 | − | 0.690951i | ||||
\(771\) | 712.356 | + | 501.104i | 0.923938 | + | 0.649940i | ||||
\(772\) | −257.668 | − | 1032.20i | −0.333767 | − | 1.33704i | ||||
\(773\) | 70.7582 | + | 446.750i | 0.0915372 | + | 0.577943i | 0.990239 | + | 0.139382i | \(0.0445116\pi\) |
−0.898702 | + | 0.438561i | \(0.855488\pi\) | |||||||
\(774\) | −5.74338 | − | 77.1116i | −0.00742039 | − | 0.0996274i | ||||
\(775\) | −267.672 | + | 148.632i | −0.345384 | + | 0.191783i | ||||
\(776\) | −15.7972 | + | 29.1245i | −0.0203572 | + | 0.0375316i | ||||
\(777\) | −711.343 | − | 689.924i | −0.915499 | − | 0.887933i | ||||
\(778\) | 54.1272 | − | 475.671i | 0.0695722 | − | 0.611402i | ||||
\(779\) | −345.833 | + | 112.368i | −0.443945 | + | 0.144247i | ||||
\(780\) | −20.1378 | + | 174.399i | −0.0258177 | + | 0.223588i | ||||
\(781\) | 152.444 | − | 469.173i | 0.195190 | − | 0.600734i | ||||
\(782\) | 134.995 | − | 296.330i | 0.172627 | − | 0.378939i | ||||
\(783\) | −991.109 | + | 1086.44i | −1.26578 | + | 1.38753i | ||||
\(784\) | −991.791 | + | 528.070i | −1.26504 | + | 0.673559i | ||||
\(785\) | 831.031 | + | 326.997i | 1.05864 | + | 0.416557i | ||||
\(786\) | 12.0262 | + | 30.7126i | 0.0153005 | + | 0.0390746i | ||||
\(787\) | −120.451 | + | 760.495i | −0.153050 | + | 0.966322i | 0.784918 | + | 0.619600i | \(0.212705\pi\) |
−0.937968 | + | 0.346722i | \(0.887295\pi\) | |||||||
\(788\) | −779.825 | + | 487.598i | −0.989626 | + | 0.618779i | ||||
\(789\) | −593.977 | + | 9.07916i | −0.752823 | + | 0.0115072i | ||||
\(790\) | −448.981 | + | 1306.11i | −0.568331 | + | 1.65330i | ||||
\(791\) | −676.813 | + | 491.734i | −0.855643 | + | 0.621661i | ||||
\(792\) | −712.483 | − | 227.712i | −0.899600 | − | 0.287515i | ||||
\(793\) | −46.2076 | + | 46.2076i | −0.0582694 | + | 0.0582694i | ||||
\(794\) | −1249.82 | + | 54.7468i | −1.57408 | + | 0.0689506i | ||||
\(795\) | −28.4116 | + | 3.18532i | −0.0357379 | + | 0.00400669i | ||||
\(796\) | 772.680 | − | 1286.79i | 0.970703 | − | 1.61656i | ||||
\(797\) | −509.029 | − | 259.363i | −0.638681 | − | 0.325424i | 0.104490 | − | 0.994526i | \(-0.466679\pi\) |
−0.743171 | + | 0.669102i | \(0.766679\pi\) | |||||||
\(798\) | −1711.44 | − | 748.284i | −2.14466 | − | 0.937699i | ||||
\(799\) | 256.637 | 0.321198 | ||||||||
\(800\) | −201.428 | − | 774.226i | −0.251785 | − | 0.967783i | ||||
\(801\) | −41.7195 | − | 12.1590i | −0.0520842 | − | 0.0151798i | ||||
\(802\) | 5.76690 | − | 3.26384i | 0.00719065 | − | 0.00406963i | ||||
\(803\) | 964.675 | + | 491.526i | 1.20134 | + | 0.612112i | ||||
\(804\) | 99.3748 | + | 962.937i | 0.123601 | + | 1.19768i | ||||
\(805\) | 269.016 | − | 1215.58i | 0.334182 | − | 1.51004i | ||||
\(806\) | 71.5986 | − | 3.13629i | 0.0888320 | − | 0.00389118i | ||||
\(807\) | 479.400 | + | 68.4360i | 0.594052 | + | 0.0848030i | ||||
\(808\) | 9.19194 | − | 356.857i | 0.0113762 | − | 0.441655i | ||||
\(809\) | −265.697 | + | 193.040i | −0.328427 | + | 0.238616i | −0.739763 | − | 0.672868i | \(-0.765062\pi\) |
0.411336 | + | 0.911484i | \(0.365062\pi\) | |||||||
\(810\) | 809.209 | − | 35.7868i | 0.999024 | − | 0.0441812i | ||||
\(811\) | −574.668 | + | 790.963i | −0.708592 | + | 0.975293i | 0.291234 | + | 0.956652i | \(0.405934\pi\) |
−0.999826 | + | 0.0186413i | \(0.994066\pi\) | |||||||
\(812\) | −2017.05 | + | 1261.19i | −2.48405 | + | 1.55319i | ||||
\(813\) | 141.001 | + | 266.577i | 0.173433 | + | 0.327893i | ||||
\(814\) | 167.887 | − | 605.717i | 0.206250 | − | 0.744124i | ||||
\(815\) | 689.934 | − | 178.701i | 0.846545 | − | 0.219265i | ||||
\(816\) | 310.367 | + | 145.331i | 0.380352 | + | 0.178102i | ||||
\(817\) | 109.129 | − | 55.6041i | 0.133573 | − | 0.0680589i | ||||
\(818\) | 490.675 | − | 1077.09i | 0.599847 | − | 1.31674i | ||||
\(819\) | −237.681 | − | 161.822i | −0.290208 | − | 0.197585i | ||||
\(820\) | 224.090 | − | 121.861i | 0.273281 | − | 0.148611i | ||||
\(821\) | 1006.00 | − | 326.869i | 1.22533 | − | 0.398135i | 0.376312 | − | 0.926493i | \(-0.377192\pi\) |
0.849022 | + | 0.528358i | \(0.177192\pi\) | |||||||
\(822\) | 231.732 | + | 395.232i | 0.281912 | + | 0.480818i | ||||
\(823\) | 79.1398 | + | 499.669i | 0.0961602 | + | 0.607132i | 0.987961 | + | 0.154703i | \(0.0494422\pi\) |
−0.891801 | + | 0.452428i | \(0.850558\pi\) | |||||||
\(824\) | 403.258 | − | 743.466i | 0.489390 | − | 0.902265i | ||||
\(825\) | 278.183 | + | 727.801i | 0.337192 | + | 0.882183i | ||||
\(826\) | −635.466 | − | 1698.89i | −0.769329 | − | 2.05677i | ||||
\(827\) | 111.465 | + | 703.761i | 0.134782 | + | 0.850981i | 0.958731 | + | 0.284316i | \(0.0917665\pi\) |
−0.823949 | + | 0.566665i | \(0.808234\pi\) | |||||||
\(828\) | 31.9757 | − | 820.322i | 0.0386180 | − | 0.990727i | ||||
\(829\) | 531.727 | − | 172.769i | 0.641408 | − | 0.208406i | 0.0297860 | − | 0.999556i | \(-0.490517\pi\) |
0.611622 | + | 0.791150i | \(0.290517\pi\) | |||||||
\(830\) | 130.544 | − | 742.573i | 0.157281 | − | 0.894666i | ||||
\(831\) | 700.991 | − | 239.671i | 0.843551 | − | 0.288413i | ||||
\(832\) | −38.7772 | + | 183.203i | −0.0466072 | + | 0.220196i | ||||
\(833\) | −446.747 | + | 227.629i | −0.536311 | + | 0.273264i | ||||
\(834\) | 491.934 | − | 29.0874i | 0.589849 | − | 0.0348770i | ||||
\(835\) | −333.762 | + | 405.191i | −0.399715 | + | 0.485259i | ||||
\(836\) | −103.596 | − | 1180.23i | −0.123918 | − | 1.41176i | ||||
\(837\) | −66.6426 | − | 323.878i | −0.0796208 | − | 0.386951i | ||||
\(838\) | 19.0652 | + | 93.6403i | 0.0227509 | + | 0.111743i | ||||
\(839\) | 666.675 | − | 917.600i | 0.794607 | − | 1.09368i | −0.198912 | − | 0.980017i | \(-0.563741\pi\) |
0.993519 | − | 0.113665i | \(-0.0362592\pi\) | |||||||
\(840\) | 1276.30 | + | 296.502i | 1.51940 | + | 0.352978i | ||||
\(841\) | −1719.63 | + | 1249.39i | −2.04475 | + | 1.48560i | ||||
\(842\) | 356.230 | − | 388.868i | 0.423076 | − | 0.461839i | ||||
\(843\) | −61.2662 | + | 429.175i | −0.0726764 | + | 0.509104i | ||||
\(844\) | −128.642 | − | 302.821i | −0.152419 | − | 0.358793i | ||||
\(845\) | 798.472 | − | 77.1820i | 0.944937 | − | 0.0913397i | ||||
\(846\) | 598.790 | − | 245.089i | 0.707789 | − | 0.289703i | ||||
\(847\) | −127.202 | − | 64.8127i | −0.150180 | − | 0.0765204i | ||||
\(848\) | −30.4907 | + | 0.549605i | −0.0359560 | + | 0.000648119i | ||||
\(849\) | −675.675 | − | 900.710i | −0.795848 | − | 1.06091i | ||||
\(850\) | −83.6433 | − | 347.051i | −0.0984038 | − | 0.408295i | ||||
\(851\) | 689.861 | 0.810648 | ||||||||
\(852\) | −30.8947 | + | 568.993i | −0.0362614 | + | 0.667832i | ||||
\(853\) | −455.325 | − | 232.000i | −0.533793 | − | 0.271981i | 0.166248 | − | 0.986084i | \(-0.446835\pi\) |
−0.700041 | + | 0.714103i | \(0.746835\pi\) | |||||||
\(854\) | 303.671 | + | 381.655i | 0.355586 | + | 0.446902i | ||||
\(855\) | 547.743 | + | 1160.19i | 0.640635 | + | 1.35695i | ||||
\(856\) | −273.117 | − | 287.559i | −0.319062 | − | 0.335933i | ||||
\(857\) | −716.611 | + | 716.611i | −0.836185 | + | 0.836185i | −0.988354 | − | 0.152169i | \(-0.951374\pi\) |
0.152169 | + | 0.988354i | \(0.451374\pi\) | |||||||
\(858\) | 17.8484 | − | 181.506i | 0.0208023 | − | 0.211546i | ||||
\(859\) | 699.509 | − | 508.223i | 0.814330 | − | 0.591645i | −0.100753 | − | 0.994911i | \(-0.532125\pi\) |
0.915083 | + | 0.403266i | \(0.132125\pi\) | |||||||
\(860\) | −68.1282 | + | 52.3475i | −0.0792188 | + | 0.0608692i | ||||
\(861\) | 6.38529 | + | 417.739i | 0.00741613 | + | 0.485178i | ||||
\(862\) | 28.1146 | − | 5.72416i | 0.0326156 | − | 0.00664056i | ||||
\(863\) | −12.8699 | + | 81.2574i | −0.0149130 | + | 0.0941569i | −0.994022 | − | 0.109178i | \(-0.965178\pi\) |
0.979109 | + | 0.203335i | \(0.0651781\pi\) | |||||||
\(864\) | 862.945 | + | 42.6883i | 0.998779 | + | 0.0494078i | ||||
\(865\) | −428.353 | − | 671.832i | −0.495206 | − | 0.776684i | ||||
\(866\) | 175.481 | − | 265.204i | 0.202634 | − | 0.306241i | ||||
\(867\) | −641.123 | − | 314.420i | −0.739472 | − | 0.362653i | ||||
\(868\) | 37.1602 | − | 533.601i | 0.0428113 | − | 0.614748i | ||||
\(869\) | 443.381 | − | 1364.59i | 0.510220 | − | 1.57029i | ||||
\(870\) | 1613.45 | + | 258.286i | 1.85454 | + | 0.296881i | ||||
\(871\) | −224.487 | + | 72.9404i | −0.257735 | + | 0.0837432i | ||||
\(872\) | −868.188 | − | 1262.07i | −0.995629 | − | 1.44732i | ||||
\(873\) | −4.70308 | + | 36.9766i | −0.00538726 | + | 0.0423558i | ||||
\(874\) | 1217.92 | − | 455.558i | 1.39350 | − | 0.521234i | ||||
\(875\) | −588.963 | − | 1231.27i | −0.673100 | − | 1.40717i | ||||
\(876\) | −1222.78 | − | 262.319i | −1.39587 | − | 0.299451i | ||||
\(877\) | −244.238 | − | 1542.06i | −0.278493 | − | 1.75834i | −0.589349 | − | 0.807878i | \(-0.700616\pi\) |
0.310856 | − | 0.950457i | \(-0.399384\pi\) | |||||||
\(878\) | −114.229 | + | 1003.84i | −0.130101 | + | 1.14333i | ||||
\(879\) | 424.145 | − | 602.954i | 0.482532 | − | 0.685955i | ||||
\(880\) | 222.854 | + | 800.661i | 0.253243 | + | 0.909843i | ||||
\(881\) | −1033.61 | − | 335.839i | −1.17322 | − | 0.381202i | −0.343376 | − | 0.939198i | \(-0.611570\pi\) |
−0.829844 | + | 0.557996i | \(0.811570\pi\) | |||||||
\(882\) | −824.970 | + | 957.750i | −0.935340 | + | 1.08588i | ||||
\(883\) | −368.271 | + | 187.644i | −0.417068 | + | 0.212507i | −0.649916 | − | 0.760006i | \(-0.725196\pi\) |
0.232847 | + | 0.972513i | \(0.425196\pi\) | |||||||
\(884\) | −18.7743 | + | 81.4263i | −0.0212379 | + | 0.0921112i | ||||
\(885\) | −438.417 | + | 1166.20i | −0.495386 | + | 1.31774i | ||||
\(886\) | 211.964 | + | 58.7502i | 0.239237 | + | 0.0663095i | ||||
\(887\) | −908.526 | − | 143.896i | −1.02427 | − | 0.162228i | −0.378372 | − | 0.925653i | \(-0.623516\pi\) |
−0.645896 | + | 0.763425i | \(0.723516\pi\) | |||||||
\(888\) | −7.60018 | + | 726.002i | −0.00855877 | + | 0.817569i | ||||
\(889\) | −1109.71 | + | 1527.38i | −1.24827 | + | 1.71809i | ||||
\(890\) | 14.1404 | + | 46.1666i | 0.0158881 | + | 0.0518725i | ||||
\(891\) | −839.914 | + | 51.4136i | −0.942664 | + | 0.0577033i | ||||
\(892\) | 7.37324 | + | 2.97654i | 0.00826596 | + | 0.00333692i | ||||
\(893\) | 724.658 | + | 724.658i | 0.811487 | + | 0.811487i | ||||
\(894\) | 1174.69 | − | 964.347i | 1.31397 | − | 1.07869i | ||||
\(895\) | −490.954 | + | 434.683i | −0.548552 | + | 0.485679i | ||||
\(896\) | 1325.86 | + | 442.155i | 1.47975 | + | 0.493476i | ||||
\(897\) | 197.205 | − | 34.3317i | 0.219849 | − | 0.0382739i | ||||
\(898\) | −115.565 | − | 204.193i | −0.128692 | − | 0.227386i | ||||
\(899\) | − | 667.038i | − | 0.741978i | ||||||
\(900\) | −526.591 | − | 729.864i | −0.585101 | − | 0.810960i | ||||
\(901\) | −13.6082 | −0.0151035 | ||||||||
\(902\) | −230.623 | + | 130.524i | −0.255680 | + | 0.144705i | ||||
\(903\) | −24.1351 | − | 138.635i | −0.0267277 | − | 0.153527i | ||||
\(904\) | 602.721 | + | 111.441i | 0.666727 | + | 0.123276i | ||||
\(905\) | −93.6511 | − | 968.850i | −0.103482 | − | 1.07055i | ||||
\(906\) | −876.172 | − | 1067.28i | −0.967078 | − | 1.17801i | ||||
\(907\) | −412.858 | + | 412.858i | −0.455191 | + | 0.455191i | −0.897073 | − | 0.441882i | \(-0.854311\pi\) |
0.441882 | + | 0.897073i | \(0.354311\pi\) | |||||||
\(908\) | 1054.77 | + | 425.805i | 1.16164 | + | 0.468948i | ||||
\(909\) | −135.716 | − | 377.971i | −0.149303 | − | 0.415809i | ||||
\(910\) | −5.41222 | + | 319.442i | −0.00594750 | + | 0.351035i | ||||
\(911\) | 121.602 | + | 88.3489i | 0.133482 | + | 0.0969802i | 0.652523 | − | 0.757769i | \(-0.273711\pi\) |
−0.519041 | + | 0.854749i | \(0.673711\pi\) | |||||||
\(912\) | 466.006 | + | 1286.74i | 0.510972 | + | 1.41090i | ||||
\(913\) | −122.530 | + | 773.625i | −0.134206 | + | 0.847344i | ||||
\(914\) | 431.464 | − | 1556.67i | 0.472061 | − | 1.70314i | ||||
\(915\) | 15.2150 | − | 334.659i | 0.0166284 | − | 0.365748i | ||||
\(916\) | −15.2809 | + | 66.2750i | −0.0166822 | + | 0.0723526i | ||||
\(917\) | 27.2505 | + | 53.4821i | 0.0297170 | + | 0.0583228i | ||||
\(918\) | 384.670 | + | 25.9860i | 0.419031 | + | 0.0283071i | ||||
\(919\) | 100.274 | − | 308.613i | 0.109112 | − | 0.335814i | −0.881561 | − | 0.472070i | \(-0.843507\pi\) |
0.990674 | + | 0.136256i | \(0.0435070\pi\) | |||||||
\(920\) | −781.500 | + | 470.421i | −0.849456 | + | 0.511327i | ||||
\(921\) | 931.630 | + | 655.350i | 1.01154 | + | 0.711564i | ||||
\(922\) | −853.335 | − | 97.1020i | −0.925526 | − | 0.105317i | ||||
\(923\) | −137.231 | + | 21.7353i | −0.148680 | + | 0.0235486i | ||||
\(924\) | −1330.94 | − | 285.522i | −1.44041 | − | 0.309006i | ||||
\(925\) | 595.623 | − | 466.061i | 0.643916 | − | 0.503850i | ||||
\(926\) | 38.2523 | + | 102.266i | 0.0413092 | + | 0.110438i | ||||
\(927\) | 120.056 | − | 943.908i | 0.129510 | − | 1.01824i | ||||
\(928\) | 1687.72 | + | 435.191i | 1.81866 | + | 0.468955i | ||||
\(929\) | −392.657 | − | 1208.47i | −0.422667 | − | 1.30083i | −0.905211 | − | 0.424962i | \(-0.860287\pi\) |
0.482545 | − | 0.875871i | \(-0.339713\pi\) | |||||||
\(930\) | −260.224 | + | 259.363i | −0.279810 | + | 0.278885i | ||||
\(931\) | −1904.21 | − | 618.715i | −2.04534 | − | 0.664571i | ||||
\(932\) | −110.426 | + | 1585.67i | −0.118483 | + | 1.70136i | ||||
\(933\) | −336.168 | + | 685.469i | −0.360309 | + | 0.734694i | ||||
\(934\) | 355.261 | + | 235.069i | 0.380365 | + | 0.251680i | ||||
\(935\) | 92.9898 | + | 359.017i | 0.0994544 | + | 0.383976i | ||||
\(936\) | 33.9576 | + | 207.914i | 0.0362795 | + | 0.222131i | ||||
\(937\) | 737.823 | + | 116.860i | 0.787431 | + | 0.124717i | 0.537184 | − | 0.843465i | \(-0.319488\pi\) |
0.250247 | + | 0.968182i | \(0.419488\pi\) | |||||||
\(938\) | 351.473 | + | 1726.28i | 0.374704 | + | 1.84039i | ||||
\(939\) | 670.635 | − | 10.2509i | 0.714202 | − | 0.0109168i | ||||
\(940\) | −592.728 | − | 406.799i | −0.630561 | − | 0.432765i | ||||
\(941\) | 57.2409 | + | 78.7854i | 0.0608299 | + | 0.0837252i | 0.838348 | − | 0.545135i | \(-0.183522\pi\) |
−0.777518 | + | 0.628860i | \(0.783522\pi\) | |||||||
\(942\) | 1066.52 | + | 104.876i | 1.13218 | + | 0.111333i | ||||
\(943\) | −205.658 | − | 205.658i | −0.218089 | − | 0.218089i | ||||
\(944\) | −581.889 | + | 1194.78i | −0.616408 | + | 1.26565i | ||||
\(945\) | 1459.19 | − | 208.930i | 1.54412 | − | 0.221090i | ||||
\(946\) | 69.8450 | − | 55.5735i | 0.0738320 | − | 0.0587458i | ||||
\(947\) | 290.010 | − | 569.176i | 0.306241 | − | 0.601031i | −0.685678 | − | 0.727905i | \(-0.740494\pi\) |
0.991919 | + | 0.126874i | \(0.0404943\pi\) | |||||||
\(948\) | −89.8570 | + | 1654.91i | −0.0947859 | + | 1.74569i | ||||
\(949\) | − | 304.935i | − | 0.321322i | ||||||
\(950\) | 743.774 | − | 1216.14i | 0.782920 | − | 1.28014i | ||||
\(951\) | 632.740 | − | 474.655i | 0.665342 | − | 0.499112i | ||||
\(952\) | 587.992 | + | 207.936i | 0.617638 | + | 0.218420i | ||||
\(953\) | −649.414 | + | 1274.55i | −0.681441 | + | 1.33740i | 0.248117 | + | 0.968730i | \(0.420188\pi\) |
−0.929559 | + | 0.368674i | \(0.879812\pi\) | |||||||
\(954\) | −31.7509 | + | 12.9958i | −0.0332818 | + | 0.0136225i | ||||
\(955\) | 772.387 | − | 1312.36i | 0.808782 | − | 1.37420i | ||||
\(956\) | 588.368 | + | 1385.01i | 0.615447 | + | 1.44875i | ||||
\(957\) | −1680.47 | − | 239.893i | −1.75598 | − | 0.250672i | ||||
\(958\) | −534.666 | − | 489.791i | −0.558107 | − | 0.511264i | ||||
\(959\) | 490.080 | + | 674.538i | 0.511033 | + | 0.703376i | ||||
\(960\) | −486.456 | − | 827.624i | −0.506724 | − | 0.862108i | ||||
\(961\) | −656.126 | − | 476.703i | −0.682753 | − | 0.496049i | ||||
\(962\) | −173.472 | + | 35.3190i | −0.180324 | + | 0.0367141i | ||||
\(963\) | −403.539 | − | 190.309i | −0.419043 | − | 0.197621i | ||||
\(964\) | 9.98208 | + | 113.722i | 0.0103549 | + | 0.117969i | ||||
\(965\) | −486.931 | + | 1237.49i | −0.504591 | + | 1.28237i | ||||
\(966\) | −88.1837 | − | 1491.39i | −0.0912875 | − | 1.54388i | ||||
\(967\) | 259.275 | + | 508.857i | 0.268124 | + | 0.526222i | 0.985334 | − | 0.170634i | \(-0.0545816\pi\) |
−0.717211 | + | 0.696856i | \(0.754582\pi\) | |||||||
\(968\) | 29.7500 | + | 100.277i | 0.0307334 | + | 0.103592i | ||||
\(969\) | 197.566 | + | 577.843i | 0.203887 | + | 0.596329i | ||||
\(970\) | 37.2153 | − | 18.1747i | 0.0383663 | − | 0.0187368i | ||||
\(971\) | −113.666 | − | 349.827i | −0.117060 | − | 0.360275i | 0.875311 | − | 0.483561i | \(-0.160657\pi\) |
−0.992371 | + | 0.123286i | \(0.960657\pi\) | |||||||
\(972\) | 922.335 | − | 306.729i | 0.948904 | − | 0.315565i | ||||
\(973\) | 885.766 | − | 140.292i | 0.910345 | − | 0.144185i | ||||
\(974\) | 546.347 | − | 204.359i | 0.560931 | − | 0.209815i | ||||
\(975\) | 147.072 | − | 162.871i | 0.150843 | − | 0.167047i | ||||
\(976\) | 49.5302 | − | 353.889i | 0.0507481 | − | 0.362592i | ||||
\(977\) | 435.340 | − | 68.9511i | 0.445589 | − | 0.0705743i | 0.0703917 | − | 0.997519i | \(-0.477575\pi\) |
0.375197 | + | 0.926945i | \(0.377575\pi\) | |||||||
\(978\) | 737.779 | − | 432.574i | 0.754375 | − | 0.442304i | ||||
\(979\) | −15.5004 | − | 47.7054i | −0.0158329 | − | 0.0487287i | ||||
\(980\) | 1392.62 | + | 182.415i | 1.42104 | + | 0.186137i | ||||
\(981\) | −1424.51 | − | 969.863i | −1.45210 | − | 0.988647i | ||||
\(982\) | −419.913 | − | 191.293i | −0.427610 | − | 0.194799i | ||||
\(983\) | 74.5730 | + | 146.358i | 0.0758626 | + | 0.148889i | 0.925822 | − | 0.377959i | \(-0.123374\pi\) |
−0.849960 | + | 0.526848i | \(0.823374\pi\) | |||||||
\(984\) | 218.698 | − | 214.166i | 0.222254 | − | 0.217649i | ||||
\(985\) | 1147.53 | + | 69.7600i | 1.16500 | + | 0.0708224i | ||||
\(986\) | 749.497 | + | 207.739i | 0.760139 | + | 0.210688i | ||||
\(987\) | 1040.82 | − | 550.523i | 1.05453 | − | 0.557774i | ||||
\(988\) | −282.933 | + | 176.908i | −0.286369 | + | 0.179057i | ||||
\(989\) | 79.2534 | + | 57.5810i | 0.0801349 | + | 0.0582214i | ||||
\(990\) | 559.827 | + | 748.859i | 0.565481 | + | 0.756423i | ||||
\(991\) | −469.391 | − | 646.062i | −0.473654 | − | 0.651929i | 0.503616 | − | 0.863928i | \(-0.332003\pi\) |
−0.977270 | + | 0.211999i | \(0.932003\pi\) | |||||||
\(992\) | −302.220 | + | 249.493i | −0.304657 | + | 0.251505i | ||||
\(993\) | 140.174 | − | 981.928i | 0.141162 | − | 0.988850i | ||||
\(994\) | 45.3811 | + | 1036.01i | 0.0456551 | + | 1.04226i | ||||
\(995\) | −1720.30 | + | 748.764i | −1.72894 | + | 0.752527i | ||||
\(996\) | −92.8770 | − | 899.973i | −0.0932500 | − | 0.903587i | ||||
\(997\) | 187.170 | − | 367.342i | 0.187733 | − | 0.368448i | −0.777887 | − | 0.628404i | \(-0.783708\pi\) |
0.965620 | + | 0.259957i | \(0.0837083\pi\) | |||||||
\(998\) | 51.1719 | + | 90.4160i | 0.0512745 | + | 0.0905972i | ||||
\(999\) | 287.745 | + | 764.434i | 0.288033 | + | 0.765199i |
(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 | 300.3.u.a.287.77 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.40 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.65 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.52 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.52 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.65 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.40 | ✓ | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.77 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.40 | ✓ | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.52 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.65 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.77 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.287.40 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.52 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.65 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.77 | yes | 928 | 1.1 | even | 1 | trivial |