Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(929,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.929");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 929.1 | ||
Character | \(\chi\) | \(=\) | 930.929 |
Dual form | 930.2.e.a.929.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.70787 | − | 0.288390i | −0.986041 | − | 0.166502i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 2.10277 | − | 0.760496i | 0.940388 | − | 0.340104i | ||||
\(6\) | 1.70787 | + | 0.288390i | 0.697236 | + | 0.117735i | ||||
\(7\) | 4.63015i | 1.75003i | 0.484093 | + | 0.875016i | \(0.339149\pi\) | ||||
−0.484093 | + | 0.875016i | \(0.660851\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.83366 | + | 0.985067i | 0.944554 | + | 0.328356i | ||||
\(10\) | −2.10277 | + | 0.760496i | −0.664955 | + | 0.240490i | ||||
\(11\) | −1.87069 | −0.564033 | −0.282017 | − | 0.959410i | \(-0.591003\pi\) | ||||
−0.282017 | + | 0.959410i | \(0.591003\pi\) | |||||||
\(12\) | −1.70787 | − | 0.288390i | −0.493021 | − | 0.0832510i | ||||
\(13\) | −3.74423 | −1.03846 | −0.519231 | − | 0.854634i | \(-0.673782\pi\) | ||||
−0.519231 | + | 0.854634i | \(0.673782\pi\) | |||||||
\(14\) | − | 4.63015i | − | 1.23746i | ||||||
\(15\) | −3.81059 | + | 0.692413i | −0.983889 | + | 0.178780i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 7.48978i | 1.81654i | 0.418386 | + | 0.908269i | \(0.362596\pi\) | ||||
−0.418386 | + | 0.908269i | \(0.637404\pi\) | |||||||
\(18\) | −2.83366 | − | 0.985067i | −0.667901 | − | 0.232182i | ||||
\(19\) | −5.69026 | −1.30543 | −0.652717 | − | 0.757602i | \(-0.726371\pi\) | ||||
−0.652717 | + | 0.757602i | \(0.726371\pi\) | |||||||
\(20\) | 2.10277 | − | 0.760496i | 0.470194 | − | 0.170052i | ||||
\(21\) | 1.33529 | − | 7.90771i | 0.291384 | − | 1.72560i | ||||
\(22\) | 1.87069 | 0.398832 | ||||||||
\(23\) | − | 7.09305i | − | 1.47900i | −0.673155 | − | 0.739502i | \(-0.735061\pi\) | ||
0.673155 | − | 0.739502i | \(-0.264939\pi\) | |||||||
\(24\) | 1.70787 | + | 0.288390i | 0.348618 | + | 0.0588673i | ||||
\(25\) | 3.84329 | − | 3.19830i | 0.768658 | − | 0.639659i | ||||
\(26\) | 3.74423 | 0.734304 | ||||||||
\(27\) | −4.55545 | − | 2.49957i | −0.876697 | − | 0.481042i | ||||
\(28\) | 4.63015i | 0.875016i | ||||||||
\(29\) | 6.19127 | 1.14969 | 0.574845 | − | 0.818262i | \(-0.305062\pi\) | ||||
0.574845 | + | 0.818262i | \(0.305062\pi\) | |||||||
\(30\) | 3.81059 | − | 0.692413i | 0.695715 | − | 0.126417i | ||||
\(31\) | −4.94030 | − | 2.56778i | −0.887303 | − | 0.461186i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 3.19490 | + | 0.539487i | 0.556160 | + | 0.0939127i | ||||
\(34\) | − | 7.48978i | − | 1.28449i | ||||||
\(35\) | 3.52121 | + | 9.73615i | 0.595193 | + | 1.64571i | ||||
\(36\) | 2.83366 | + | 0.985067i | 0.472277 | + | 0.164178i | ||||
\(37\) | −1.89952 | −0.312279 | −0.156139 | − | 0.987735i | \(-0.549905\pi\) | ||||
−0.156139 | + | 0.987735i | \(0.549905\pi\) | |||||||
\(38\) | 5.69026 | 0.923082 | ||||||||
\(39\) | 6.39467 | + | 1.07980i | 1.02397 | + | 0.172906i | ||||
\(40\) | −2.10277 | + | 0.760496i | −0.332477 | + | 0.120245i | ||||
\(41\) | − | 3.77682i | − | 0.589840i | −0.955522 | − | 0.294920i | \(-0.904707\pi\) | ||
0.955522 | − | 0.294920i | \(-0.0952930\pi\) | |||||||
\(42\) | −1.33529 | + | 7.90771i | −0.206040 | + | 1.22019i | ||||
\(43\) | −5.39424 | −0.822613 | −0.411307 | − | 0.911497i | \(-0.634927\pi\) | ||||
−0.411307 | + | 0.911497i | \(0.634927\pi\) | |||||||
\(44\) | −1.87069 | −0.282017 | ||||||||
\(45\) | 6.70768 | − | 0.0836188i | 0.999922 | − | 0.0124651i | ||||
\(46\) | 7.09305i | 1.04581i | ||||||||
\(47\) | −6.33921 | −0.924669 | −0.462335 | − | 0.886705i | \(-0.652988\pi\) | ||||
−0.462335 | + | 0.886705i | \(0.652988\pi\) | |||||||
\(48\) | −1.70787 | − | 0.288390i | −0.246510 | − | 0.0416255i | ||||
\(49\) | −14.4383 | −2.06261 | ||||||||
\(50\) | −3.84329 | + | 3.19830i | −0.543524 | + | 0.452308i | ||||
\(51\) | 2.15998 | − | 12.7916i | 0.302457 | − | 1.79118i | ||||
\(52\) | −3.74423 | −0.519231 | ||||||||
\(53\) | − | 2.24609i | − | 0.308525i | −0.988030 | − | 0.154262i | \(-0.950700\pi\) | ||
0.988030 | − | 0.154262i | \(-0.0493001\pi\) | |||||||
\(54\) | 4.55545 | + | 2.49957i | 0.619919 | + | 0.340148i | ||||
\(55\) | −3.93363 | + | 1.42265i | −0.530410 | + | 0.191830i | ||||
\(56\) | − | 4.63015i | − | 0.618730i | ||||||
\(57\) | 9.71824 | + | 1.64101i | 1.28721 | + | 0.217357i | ||||
\(58\) | −6.19127 | −0.812954 | ||||||||
\(59\) | − | 4.58001i | − | 0.596266i | −0.954524 | − | 0.298133i | \(-0.903636\pi\) | ||
0.954524 | − | 0.298133i | \(-0.0963639\pi\) | |||||||
\(60\) | −3.81059 | + | 0.692413i | −0.491945 | + | 0.0893901i | ||||
\(61\) | 7.47286i | 0.956802i | 0.878141 | + | 0.478401i | \(0.158783\pi\) | ||||
−0.878141 | + | 0.478401i | \(0.841217\pi\) | |||||||
\(62\) | 4.94030 | + | 2.56778i | 0.627418 | + | 0.326108i | ||||
\(63\) | −4.56101 | + | 13.1203i | −0.574633 | + | 1.65300i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −7.87326 | + | 2.84747i | −0.976558 | + | 0.353185i | ||||
\(66\) | −3.19490 | − | 0.539487i | −0.393264 | − | 0.0664063i | ||||
\(67\) | − | 8.18959i | − | 1.00052i | −0.865876 | − | 0.500259i | \(-0.833238\pi\) | ||
0.865876 | − | 0.500259i | \(-0.166762\pi\) | |||||||
\(68\) | 7.48978i | 0.908269i | ||||||||
\(69\) | −2.04556 | + | 12.1140i | −0.246257 | + | 1.45836i | ||||
\(70\) | −3.52121 | − | 9.73615i | −0.420865 | − | 1.16369i | ||||
\(71\) | 14.8896i | 1.76706i | 0.468370 | + | 0.883532i | \(0.344841\pi\) | ||||
−0.468370 | + | 0.883532i | \(0.655159\pi\) | |||||||
\(72\) | −2.83366 | − | 0.985067i | −0.333950 | − | 0.116091i | ||||
\(73\) | −11.5855 | −1.35598 | −0.677991 | − | 0.735071i | \(-0.737149\pi\) | ||||
−0.677991 | + | 0.735071i | \(0.737149\pi\) | |||||||
\(74\) | 1.89952 | 0.220814 | ||||||||
\(75\) | −7.48621 | + | 4.35392i | −0.864433 | + | 0.502747i | ||||
\(76\) | −5.69026 | −0.652717 | ||||||||
\(77\) | − | 8.66156i | − | 0.987077i | ||||||
\(78\) | −6.39467 | − | 1.07980i | −0.724054 | − | 0.122263i | ||||
\(79\) | 10.6362i | 1.19667i | 0.801246 | + | 0.598335i | \(0.204171\pi\) | ||||
−0.801246 | + | 0.598335i | \(0.795829\pi\) | |||||||
\(80\) | 2.10277 | − | 0.760496i | 0.235097 | − | 0.0850260i | ||||
\(81\) | 7.05929 | + | 5.58269i | 0.784365 | + | 0.620299i | ||||
\(82\) | 3.77682i | 0.417080i | ||||||||
\(83\) | − | 1.01351i | − | 0.111247i | −0.998452 | − | 0.0556234i | \(-0.982285\pi\) | ||
0.998452 | − | 0.0556234i | \(-0.0177146\pi\) | |||||||
\(84\) | 1.33529 | − | 7.90771i | 0.145692 | − | 0.862802i | ||||
\(85\) | 5.69595 | + | 15.7493i | 0.617812 | + | 1.70825i | ||||
\(86\) | 5.39424 | 0.581676 | ||||||||
\(87\) | −10.5739 | − | 1.78550i | −1.13364 | − | 0.191426i | ||||
\(88\) | 1.87069 | 0.199416 | ||||||||
\(89\) | −11.8892 | −1.26025 | −0.630126 | − | 0.776493i | \(-0.716997\pi\) | ||||
−0.630126 | + | 0.776493i | \(0.716997\pi\) | |||||||
\(90\) | −6.70768 | + | 0.0836188i | −0.707052 | + | 0.00881419i | ||||
\(91\) | − | 17.3364i | − | 1.81734i | ||||||
\(92\) | − | 7.09305i | − | 0.739502i | ||||||
\(93\) | 7.69688 | + | 5.81017i | 0.798129 | + | 0.602486i | ||||
\(94\) | 6.33921 | 0.653840 | ||||||||
\(95\) | −11.9653 | + | 4.32742i | −1.22761 | + | 0.443984i | ||||
\(96\) | 1.70787 | + | 0.288390i | 0.174309 | + | 0.0294337i | ||||
\(97\) | 1.87390i | 0.190266i | 0.995465 | + | 0.0951331i | \(0.0303277\pi\) | ||||
−0.995465 | + | 0.0951331i | \(0.969672\pi\) | |||||||
\(98\) | 14.4383 | 1.45849 | ||||||||
\(99\) | −5.30089 | − | 1.84275i | −0.532760 | − | 0.185203i | ||||
\(100\) | 3.84329 | − | 3.19830i | 0.384329 | − | 0.319830i | ||||
\(101\) | − | 0.0683091i | − | 0.00679701i | −0.999994 | − | 0.00339851i | \(-0.998918\pi\) | ||
0.999994 | − | 0.00339851i | \(-0.00108178\pi\) | |||||||
\(102\) | −2.15998 | + | 12.7916i | −0.213870 | + | 1.26656i | ||||
\(103\) | − | 4.29810i | − | 0.423504i | −0.977323 | − | 0.211752i | \(-0.932083\pi\) | ||
0.977323 | − | 0.211752i | \(-0.0679170\pi\) | |||||||
\(104\) | 3.74423 | 0.367152 | ||||||||
\(105\) | −3.20598 | − | 17.6436i | −0.312871 | − | 1.72184i | ||||
\(106\) | 2.24609i | 0.218160i | ||||||||
\(107\) | −3.57584 | −0.345690 | −0.172845 | − | 0.984949i | \(-0.555296\pi\) | ||||
−0.172845 | + | 0.984949i | \(0.555296\pi\) | |||||||
\(108\) | −4.55545 | − | 2.49957i | −0.438349 | − | 0.240521i | ||||
\(109\) | 0.722467 | 0.0691998 | 0.0345999 | − | 0.999401i | \(-0.488984\pi\) | ||||
0.0345999 | + | 0.999401i | \(0.488984\pi\) | |||||||
\(110\) | 3.93363 | − | 1.42265i | 0.375057 | − | 0.135644i | ||||
\(111\) | 3.24413 | + | 0.547801i | 0.307920 | + | 0.0519950i | ||||
\(112\) | 4.63015i | 0.437508i | ||||||||
\(113\) | 5.66365 | 0.532792 | 0.266396 | − | 0.963864i | \(-0.414167\pi\) | ||||
0.266396 | + | 0.963864i | \(0.414167\pi\) | |||||||
\(114\) | −9.71824 | − | 1.64101i | −0.910196 | − | 0.153695i | ||||
\(115\) | −5.39424 | − | 14.9151i | −0.503015 | − | 1.39084i | ||||
\(116\) | 6.19127 | 0.574845 | ||||||||
\(117\) | −10.6099 | − | 3.68832i | −0.980884 | − | 0.340985i | ||||
\(118\) | 4.58001i | 0.421624i | ||||||||
\(119\) | −34.6788 | −3.17900 | ||||||||
\(120\) | 3.81059 | − | 0.692413i | 0.347857 | − | 0.0632083i | ||||
\(121\) | −7.50053 | −0.681866 | ||||||||
\(122\) | − | 7.47286i | − | 0.676561i | ||||||
\(123\) | −1.08920 | + | 6.45033i | −0.0982095 | + | 0.581606i | ||||
\(124\) | −4.94030 | − | 2.56778i | −0.443652 | − | 0.230593i | ||||
\(125\) | 5.64927 | − | 9.64810i | 0.505286 | − | 0.862952i | ||||
\(126\) | 4.56101 | − | 13.1203i | 0.406327 | − | 1.16885i | ||||
\(127\) | 14.8935 | 1.32159 | 0.660794 | − | 0.750567i | \(-0.270220\pi\) | ||||
0.660794 | + | 0.750567i | \(0.270220\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 9.21267 | + | 1.55564i | 0.811131 | + | 0.136967i | ||||
\(130\) | 7.87326 | − | 2.84747i | 0.690530 | − | 0.249740i | ||||
\(131\) | − | 2.10228i | − | 0.183677i | −0.995774 | − | 0.0918386i | \(-0.970726\pi\) | ||
0.995774 | − | 0.0918386i | \(-0.0292744\pi\) | |||||||
\(132\) | 3.19490 | + | 0.539487i | 0.278080 | + | 0.0469563i | ||||
\(133\) | − | 26.3468i | − | 2.28455i | ||||||
\(134\) | 8.18959i | 0.707472i | ||||||||
\(135\) | −11.4800 | − | 1.79162i | −0.988040 | − | 0.154198i | ||||
\(136\) | − | 7.48978i | − | 0.642243i | ||||||
\(137\) | 9.53533i | 0.814658i | 0.913281 | + | 0.407329i | \(0.133540\pi\) | ||||
−0.913281 | + | 0.407329i | \(0.866460\pi\) | |||||||
\(138\) | 2.04556 | − | 12.1140i | 0.174130 | − | 1.03122i | ||||
\(139\) | 12.9885i | 1.10167i | 0.834613 | + | 0.550837i | \(0.185691\pi\) | ||||
−0.834613 | + | 0.550837i | \(0.814309\pi\) | |||||||
\(140\) | 3.52121 | + | 9.73615i | 0.297597 | + | 0.822855i | ||||
\(141\) | 10.8266 | + | 1.82817i | 0.911762 | + | 0.153959i | ||||
\(142\) | − | 14.8896i | − | 1.24950i | ||||||
\(143\) | 7.00428 | 0.585727 | ||||||||
\(144\) | 2.83366 | + | 0.985067i | 0.236139 | + | 0.0820889i | ||||
\(145\) | 13.0188 | − | 4.70844i | 1.08115 | − | 0.391014i | ||||
\(146\) | 11.5855 | 0.958823 | ||||||||
\(147\) | 24.6588 | + | 4.16386i | 2.03382 | + | 0.343429i | ||||
\(148\) | −1.89952 | −0.156139 | ||||||||
\(149\) | 0.757439i | 0.0620518i | 0.999519 | + | 0.0310259i | \(0.00987744\pi\) | ||||
−0.999519 | + | 0.0310259i | \(0.990123\pi\) | |||||||
\(150\) | 7.48621 | − | 4.35392i | 0.611247 | − | 0.355496i | ||||
\(151\) | 8.33372i | 0.678188i | 0.940752 | + | 0.339094i | \(0.110121\pi\) | ||||
−0.940752 | + | 0.339094i | \(0.889879\pi\) | |||||||
\(152\) | 5.69026 | 0.461541 | ||||||||
\(153\) | −7.37794 | + | 21.2235i | −0.596471 | + | 1.71582i | ||||
\(154\) | 8.66156i | 0.697969i | ||||||||
\(155\) | −12.3411 | − | 1.64237i | −0.991261 | − | 0.131919i | ||||
\(156\) | 6.39467 | + | 1.07980i | 0.511983 | + | 0.0864530i | ||||
\(157\) | 14.7100i | 1.17399i | 0.809592 | + | 0.586993i | \(0.199688\pi\) | ||||
−0.809592 | + | 0.586993i | \(0.800312\pi\) | |||||||
\(158\) | − | 10.6362i | − | 0.846173i | ||||||
\(159\) | −0.647751 | + | 3.83604i | −0.0513700 | + | 0.304218i | ||||
\(160\) | −2.10277 | + | 0.760496i | −0.166239 | + | 0.0601225i | ||||
\(161\) | 32.8419 | 2.58830 | ||||||||
\(162\) | −7.05929 | − | 5.58269i | −0.554630 | − | 0.438618i | ||||
\(163\) | 23.1406i | 1.81251i | 0.422733 | + | 0.906254i | \(0.361071\pi\) | ||||
−0.422733 | + | 0.906254i | \(0.638929\pi\) | |||||||
\(164\) | − | 3.77682i | − | 0.294920i | ||||||
\(165\) | 7.12841 | − | 1.29529i | 0.554946 | − | 0.100838i | ||||
\(166\) | 1.01351i | 0.0786633i | ||||||||
\(167\) | 1.74440i | 0.134985i | 0.997720 | + | 0.0674927i | \(0.0214999\pi\) | ||||
−0.997720 | + | 0.0674927i | \(0.978500\pi\) | |||||||
\(168\) | −1.33529 | + | 7.90771i | −0.103020 | + | 0.610093i | ||||
\(169\) | 1.01926 | 0.0784045 | ||||||||
\(170\) | −5.69595 | − | 15.7493i | −0.436859 | − | 1.20792i | ||||
\(171\) | −16.1243 | − | 5.60528i | −1.23305 | − | 0.428647i | ||||
\(172\) | −5.39424 | −0.411307 | ||||||||
\(173\) | 4.69003 | 0.356576 | 0.178288 | − | 0.983978i | \(-0.442944\pi\) | ||||
0.178288 | + | 0.983978i | \(0.442944\pi\) | |||||||
\(174\) | 10.5739 | + | 1.78550i | 0.801606 | + | 0.135358i | ||||
\(175\) | 14.8086 | + | 17.7950i | 1.11942 | + | 1.34518i | ||||
\(176\) | −1.87069 | −0.141008 | ||||||||
\(177\) | −1.32083 | + | 7.82207i | −0.0992795 | + | 0.587943i | ||||
\(178\) | 11.8892 | 0.891133 | ||||||||
\(179\) | 13.9875 | 1.04548 | 0.522738 | − | 0.852493i | \(-0.324911\pi\) | ||||
0.522738 | + | 0.852493i | \(0.324911\pi\) | |||||||
\(180\) | 6.70768 | − | 0.0836188i | 0.499961 | − | 0.00623257i | ||||
\(181\) | − | 10.1423i | − | 0.753870i | −0.926240 | − | 0.376935i | \(-0.876978\pi\) | ||
0.926240 | − | 0.376935i | \(-0.123022\pi\) | |||||||
\(182\) | 17.3364i | 1.28506i | ||||||||
\(183\) | 2.15510 | − | 12.7627i | 0.159309 | − | 0.943446i | ||||
\(184\) | 7.09305i | 0.522907i | ||||||||
\(185\) | −3.99425 | + | 1.44457i | −0.293663 | + | 0.106207i | ||||
\(186\) | −7.69688 | − | 5.81017i | −0.564362 | − | 0.426022i | ||||
\(187\) | − | 14.0110i | − | 1.02459i | ||||||
\(188\) | −6.33921 | −0.462335 | ||||||||
\(189\) | 11.5734 | − | 21.0924i | 0.841840 | − | 1.53425i | ||||
\(190\) | 11.9653 | − | 4.32742i | 0.868055 | − | 0.313944i | ||||
\(191\) | − | 19.0402i | − | 1.37770i | −0.724904 | − | 0.688850i | \(-0.758116\pi\) | ||
0.724904 | − | 0.688850i | \(-0.241884\pi\) | |||||||
\(192\) | −1.70787 | − | 0.288390i | −0.123255 | − | 0.0208127i | ||||
\(193\) | 8.94203i | 0.643661i | 0.946797 | + | 0.321831i | \(0.104298\pi\) | ||||
−0.946797 | + | 0.321831i | \(0.895702\pi\) | |||||||
\(194\) | − | 1.87390i | − | 0.134538i | ||||||
\(195\) | 14.2677 | − | 2.59255i | 1.02173 | − | 0.185657i | ||||
\(196\) | −14.4383 | −1.03131 | ||||||||
\(197\) | − | 23.0376i | − | 1.64136i | −0.571389 | − | 0.820680i | \(-0.693595\pi\) | ||
0.571389 | − | 0.820680i | \(-0.306405\pi\) | |||||||
\(198\) | 5.30089 | + | 1.84275i | 0.376718 | + | 0.130959i | ||||
\(199\) | 26.0461i | 1.84636i | 0.384372 | + | 0.923178i | \(0.374418\pi\) | ||||
−0.384372 | + | 0.923178i | \(0.625582\pi\) | |||||||
\(200\) | −3.84329 | + | 3.19830i | −0.271762 | + | 0.226154i | ||||
\(201\) | −2.36179 | + | 13.9868i | −0.166588 | + | 0.986551i | ||||
\(202\) | 0.0683091i | 0.00480621i | ||||||||
\(203\) | 28.6665i | 2.01200i | ||||||||
\(204\) | 2.15998 | − | 12.7916i | 0.151229 | − | 0.895591i | ||||
\(205\) | −2.87225 | − | 7.94178i | −0.200607 | − | 0.554678i | ||||
\(206\) | 4.29810i | 0.299463i | ||||||||
\(207\) | 6.98713 | − | 20.0993i | 0.485639 | − | 1.39700i | ||||
\(208\) | −3.74423 | −0.259616 | ||||||||
\(209\) | 10.6447 | 0.736309 | ||||||||
\(210\) | 3.20598 | + | 17.6436i | 0.221233 | + | 1.21752i | ||||
\(211\) | 12.5032 | 0.860756 | 0.430378 | − | 0.902649i | \(-0.358380\pi\) | ||||
0.430378 | + | 0.902649i | \(0.358380\pi\) | |||||||
\(212\) | − | 2.24609i | − | 0.154262i | ||||||
\(213\) | 4.29400 | − | 25.4295i | 0.294220 | − | 1.74240i | ||||
\(214\) | 3.57584 | 0.244440 | ||||||||
\(215\) | −11.3428 | + | 4.10230i | −0.773576 | + | 0.279774i | ||||
\(216\) | 4.55545 | + | 2.49957i | 0.309959 | + | 0.170074i | ||||
\(217\) | 11.8892 | − | 22.8743i | 0.807091 | − | 1.55281i | ||||
\(218\) | −0.722467 | −0.0489316 | ||||||||
\(219\) | 19.7866 | + | 3.34114i | 1.33705 | + | 0.225774i | ||||
\(220\) | −3.93363 | + | 1.42265i | −0.265205 | + | 0.0959150i | ||||
\(221\) | − | 28.0435i | − | 1.88641i | ||||||
\(222\) | −3.24413 | − | 0.547801i | −0.217732 | − | 0.0367660i | ||||
\(223\) | 10.7677 | 0.721056 | 0.360528 | − | 0.932748i | \(-0.382596\pi\) | ||||
0.360528 | + | 0.932748i | \(0.382596\pi\) | |||||||
\(224\) | − | 4.63015i | − | 0.309365i | ||||||
\(225\) | 14.0411 | − | 5.27700i | 0.936075 | − | 0.351800i | ||||
\(226\) | −5.66365 | −0.376741 | ||||||||
\(227\) | −18.5144 | −1.22885 | −0.614424 | − | 0.788976i | \(-0.710611\pi\) | ||||
−0.614424 | + | 0.788976i | \(0.710611\pi\) | |||||||
\(228\) | 9.71824 | + | 1.64101i | 0.643606 | + | 0.108679i | ||||
\(229\) | − | 13.3537i | − | 0.882435i | −0.897400 | − | 0.441218i | \(-0.854547\pi\) | ||
0.897400 | − | 0.441218i | \(-0.145453\pi\) | |||||||
\(230\) | 5.39424 | + | 14.9151i | 0.355685 | + | 0.983470i | ||||
\(231\) | −2.49791 | + | 14.7929i | −0.164350 | + | 0.973298i | ||||
\(232\) | −6.19127 | −0.406477 | ||||||||
\(233\) | −15.4812 | −1.01420 | −0.507102 | − | 0.861886i | \(-0.669283\pi\) | ||||
−0.507102 | + | 0.861886i | \(0.669283\pi\) | |||||||
\(234\) | 10.6099 | + | 3.68832i | 0.693590 | + | 0.241113i | ||||
\(235\) | −13.3299 | + | 4.82095i | −0.869548 | + | 0.314484i | ||||
\(236\) | − | 4.58001i | − | 0.298133i | ||||||
\(237\) | 3.06738 | − | 18.1653i | 0.199248 | − | 1.17997i | ||||
\(238\) | 34.6788 | 2.24789 | ||||||||
\(239\) | 0.761904 | 0.0492834 | 0.0246417 | − | 0.999696i | \(-0.492156\pi\) | ||||
0.0246417 | + | 0.999696i | \(0.492156\pi\) | |||||||
\(240\) | −3.81059 | + | 0.692413i | −0.245972 | + | 0.0446950i | ||||
\(241\) | 18.2543i | 1.17586i | 0.808910 | + | 0.587932i | \(0.200058\pi\) | ||||
−0.808910 | + | 0.587932i | \(0.799942\pi\) | |||||||
\(242\) | 7.50053 | 0.482152 | ||||||||
\(243\) | −10.4464 | − | 11.5704i | −0.670135 | − | 0.742239i | ||||
\(244\) | 7.47286i | 0.478401i | ||||||||
\(245\) | −30.3604 | + | 10.9803i | −1.93966 | + | 0.701503i | ||||
\(246\) | 1.08920 | − | 6.45033i | 0.0694446 | − | 0.411258i | ||||
\(247\) | 21.3056 | 1.35564 | ||||||||
\(248\) | 4.94030 | + | 2.56778i | 0.313709 | + | 0.163054i | ||||
\(249\) | −0.292285 | + | 1.73094i | −0.0185228 | + | 0.109694i | ||||
\(250\) | −5.64927 | + | 9.64810i | −0.357291 | + | 0.610199i | ||||
\(251\) | 11.4833 | 0.724821 | 0.362411 | − | 0.932019i | \(-0.381954\pi\) | ||||
0.362411 | + | 0.932019i | \(0.381954\pi\) | |||||||
\(252\) | −4.56101 | + | 13.1203i | −0.287317 | + | 0.826500i | ||||
\(253\) | 13.2689i | 0.834207i | ||||||||
\(254\) | −14.8935 | −0.934504 | ||||||||
\(255\) | −5.18602 | − | 28.5405i | −0.324761 | − | 1.78727i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 16.8528 | 1.05125 | 0.525625 | − | 0.850716i | \(-0.323831\pi\) | ||||
0.525625 | + | 0.850716i | \(0.323831\pi\) | |||||||
\(258\) | −9.21267 | − | 1.55564i | −0.573556 | − | 0.0968501i | ||||
\(259\) | − | 8.79505i | − | 0.546498i | ||||||
\(260\) | −7.87326 | + | 2.84747i | −0.488279 | + | 0.176593i | ||||
\(261\) | 17.5440 | + | 6.09882i | 1.08594 | + | 0.377507i | ||||
\(262\) | 2.10228i | 0.129879i | ||||||||
\(263\) | 8.89826i | 0.548690i | 0.961631 | + | 0.274345i | \(0.0884610\pi\) | ||||
−0.961631 | + | 0.274345i | \(0.911539\pi\) | |||||||
\(264\) | −3.19490 | − | 0.539487i | −0.196632 | − | 0.0332031i | ||||
\(265\) | −1.70815 | − | 4.72302i | −0.104931 | − | 0.290133i | ||||
\(266\) | 26.3468i | 1.61542i | ||||||||
\(267\) | 20.3052 | + | 3.42872i | 1.24266 | + | 0.209834i | ||||
\(268\) | − | 8.18959i | − | 0.500259i | ||||||
\(269\) | −9.75034 | −0.594489 | −0.297244 | − | 0.954801i | \(-0.596068\pi\) | ||||
−0.297244 | + | 0.954801i | \(0.596068\pi\) | |||||||
\(270\) | 11.4800 | + | 1.79162i | 0.698650 | + | 0.109034i | ||||
\(271\) | 11.9409i | 0.725360i | 0.931914 | + | 0.362680i | \(0.118138\pi\) | ||||
−0.931914 | + | 0.362680i | \(0.881862\pi\) | |||||||
\(272\) | 7.48978i | 0.454135i | ||||||||
\(273\) | −4.99963 | + | 29.6083i | −0.302591 | + | 1.79198i | ||||
\(274\) | − | 9.53533i | − | 0.576050i | ||||||
\(275\) | −7.18960 | + | 5.98301i | −0.433549 | + | 0.360789i | ||||
\(276\) | −2.04556 | + | 12.1140i | −0.123129 | + | 0.729179i | ||||
\(277\) | −0.764760 | −0.0459500 | −0.0229750 | − | 0.999736i | \(-0.507314\pi\) | ||||
−0.0229750 | + | 0.999736i | \(0.507314\pi\) | |||||||
\(278\) | − | 12.9885i | − | 0.779001i | ||||||
\(279\) | −11.4697 | − | 12.1427i | −0.686673 | − | 0.726967i | ||||
\(280\) | −3.52121 | − | 9.73615i | −0.210433 | − | 0.581846i | ||||
\(281\) | − | 20.0130i | − | 1.19388i | −0.802287 | − | 0.596938i | \(-0.796384\pi\) | ||
0.802287 | − | 0.596938i | \(-0.203616\pi\) | |||||||
\(282\) | −10.8266 | − | 1.82817i | −0.644713 | − | 0.108866i | ||||
\(283\) | − | 16.2273i | − | 0.964611i | −0.876003 | − | 0.482306i | \(-0.839799\pi\) | ||
0.876003 | − | 0.482306i | \(-0.160201\pi\) | |||||||
\(284\) | 14.8896i | 0.883532i | ||||||||
\(285\) | 21.6832 | − | 3.94001i | 1.28440 | − | 0.233386i | ||||
\(286\) | −7.00428 | −0.414172 | ||||||||
\(287\) | 17.4872 | 1.03224 | ||||||||
\(288\) | −2.83366 | − | 0.985067i | −0.166975 | − | 0.0580456i | ||||
\(289\) | −39.0968 | −2.29981 | ||||||||
\(290\) | −13.0188 | + | 4.70844i | −0.764492 | + | 0.276489i | ||||
\(291\) | 0.540415 | − | 3.20039i | 0.0316797 | − | 0.187610i | ||||
\(292\) | −11.5855 | −0.677991 | ||||||||
\(293\) | −11.1515 | −0.651479 | −0.325739 | − | 0.945460i | \(-0.605613\pi\) | ||||
−0.325739 | + | 0.945460i | \(0.605613\pi\) | |||||||
\(294\) | −24.6588 | − | 4.16386i | −1.43813 | − | 0.242841i | ||||
\(295\) | −3.48308 | − | 9.63070i | −0.202792 | − | 0.560721i | ||||
\(296\) | 1.89952 | 0.110407 | ||||||||
\(297\) | 8.52183 | + | 4.67591i | 0.494486 | + | 0.271324i | ||||
\(298\) | − | 0.757439i | − | 0.0438773i | ||||||
\(299\) | 26.5580i | 1.53589i | ||||||||
\(300\) | −7.48621 | + | 4.35392i | −0.432217 | + | 0.251374i | ||||
\(301\) | − | 24.9761i | − | 1.43960i | ||||||
\(302\) | − | 8.33372i | − | 0.479552i | ||||||
\(303\) | −0.0196997 | + | 0.116663i | −0.00113172 | + | 0.00670213i | ||||
\(304\) | −5.69026 | −0.326359 | ||||||||
\(305\) | 5.68308 | + | 15.7137i | 0.325412 | + | 0.899765i | ||||
\(306\) | 7.37794 | − | 21.2235i | 0.421769 | − | 1.21327i | ||||
\(307\) | − | 8.36560i | − | 0.477450i | −0.971087 | − | 0.238725i | \(-0.923271\pi\) | ||
0.971087 | − | 0.238725i | \(-0.0767294\pi\) | |||||||
\(308\) | − | 8.66156i | − | 0.493538i | ||||||
\(309\) | −1.23953 | + | 7.34061i | −0.0705143 | + | 0.417593i | ||||
\(310\) | 12.3411 | + | 1.64237i | 0.700927 | + | 0.0932805i | ||||
\(311\) | 0.660154i | 0.0374339i | 0.999825 | + | 0.0187170i | \(0.00595814\pi\) | ||||
−0.999825 | + | 0.0187170i | \(0.994042\pi\) | |||||||
\(312\) | −6.39467 | − | 1.07980i | −0.362027 | − | 0.0611315i | ||||
\(313\) | −18.7240 | −1.05834 | −0.529171 | − | 0.848515i | \(-0.677497\pi\) | ||||
−0.529171 | + | 0.848515i | \(0.677497\pi\) | |||||||
\(314\) | − | 14.7100i | − | 0.830133i | ||||||
\(315\) | 0.387167 | + | 31.0576i | 0.0218144 | + | 1.74990i | ||||
\(316\) | 10.6362i | 0.598335i | ||||||||
\(317\) | −13.9521 | −0.783631 | −0.391815 | − | 0.920044i | \(-0.628153\pi\) | ||||
−0.391815 | + | 0.920044i | \(0.628153\pi\) | |||||||
\(318\) | 0.647751 | − | 3.83604i | 0.0363241 | − | 0.215115i | ||||
\(319\) | −11.5819 | −0.648464 | ||||||||
\(320\) | 2.10277 | − | 0.760496i | 0.117548 | − | 0.0425130i | ||||
\(321\) | 6.10709 | + | 1.03124i | 0.340864 | + | 0.0575581i | ||||
\(322\) | −32.8419 | −1.83021 | ||||||||
\(323\) | − | 42.6188i | − | 2.37137i | ||||||
\(324\) | 7.05929 | + | 5.58269i | 0.392183 | + | 0.310150i | ||||
\(325\) | −14.3902 | + | 11.9752i | −0.798223 | + | 0.664262i | ||||
\(326\) | − | 23.1406i | − | 1.28164i | ||||||
\(327\) | −1.23388 | − | 0.208352i | −0.0682338 | − | 0.0115219i | ||||
\(328\) | 3.77682i | 0.208540i | ||||||||
\(329\) | − | 29.3515i | − | 1.61820i | ||||||
\(330\) | −7.12841 | + | 1.29529i | −0.392406 | + | 0.0713032i | ||||
\(331\) | 6.38971i | 0.351210i | 0.984461 | + | 0.175605i | \(0.0561882\pi\) | ||||
−0.984461 | + | 0.175605i | \(0.943812\pi\) | |||||||
\(332\) | − | 1.01351i | − | 0.0556234i | ||||||
\(333\) | −5.38259 | − | 1.87115i | −0.294964 | − | 0.102538i | ||||
\(334\) | − | 1.74440i | − | 0.0954491i | ||||||
\(335\) | −6.22815 | − | 17.2208i | −0.340280 | − | 0.940874i | ||||
\(336\) | 1.33529 | − | 7.90771i | 0.0728460 | − | 0.431401i | ||||
\(337\) | 18.0566 | 0.983606 | 0.491803 | − | 0.870706i | \(-0.336338\pi\) | ||||
0.491803 | + | 0.870706i | \(0.336338\pi\) | |||||||
\(338\) | −1.01926 | −0.0554404 | ||||||||
\(339\) | −9.67280 | − | 1.63334i | −0.525354 | − | 0.0887108i | ||||
\(340\) | 5.69595 | + | 15.7493i | 0.308906 | + | 0.854126i | ||||
\(341\) | 9.24175 | + | 4.80351i | 0.500469 | + | 0.260124i | ||||
\(342\) | 16.1243 | + | 5.60528i | 0.871901 | + | 0.303099i | ||||
\(343\) | − | 34.4404i | − | 1.85961i | ||||||
\(344\) | 5.39424 | 0.290838 | ||||||||
\(345\) | 4.91132 | + | 27.0287i | 0.264417 | + | 1.45518i | ||||
\(346\) | −4.69003 | −0.252137 | ||||||||
\(347\) | 9.00187i | 0.483246i | 0.970370 | + | 0.241623i | \(0.0776797\pi\) | ||||
−0.970370 | + | 0.241623i | \(0.922320\pi\) | |||||||
\(348\) | −10.5739 | − | 1.78550i | −0.566821 | − | 0.0957129i | ||||
\(349\) | 7.59014 | 0.406291 | 0.203145 | − | 0.979149i | \(-0.434884\pi\) | ||||
0.203145 | + | 0.979149i | \(0.434884\pi\) | |||||||
\(350\) | −14.8086 | − | 17.7950i | −0.791553 | − | 0.951184i | ||||
\(351\) | 17.0567 | + | 9.35896i | 0.910417 | + | 0.499544i | ||||
\(352\) | 1.87069 | 0.0997079 | ||||||||
\(353\) | 15.9984i | 0.851510i | 0.904838 | + | 0.425755i | \(0.139991\pi\) | ||||
−0.904838 | + | 0.425755i | \(0.860009\pi\) | |||||||
\(354\) | 1.32083 | − | 7.82207i | 0.0702012 | − | 0.415738i | ||||
\(355\) | 11.3234 | + | 31.3093i | 0.600986 | + | 1.66173i | ||||
\(356\) | −11.8892 | −0.630126 | ||||||||
\(357\) | 59.2270 | + | 10.0010i | 3.13463 | + | 0.529310i | ||||
\(358\) | −13.9875 | −0.739263 | ||||||||
\(359\) | 20.9131i | 1.10375i | 0.833927 | + | 0.551875i | \(0.186088\pi\) | ||||
−0.833927 | + | 0.551875i | \(0.813912\pi\) | |||||||
\(360\) | −6.70768 | + | 0.0836188i | −0.353526 | + | 0.00440710i | ||||
\(361\) | 13.3790 | 0.704159 | ||||||||
\(362\) | 10.1423i | 0.533066i | ||||||||
\(363\) | 12.8100 | + | 2.16308i | 0.672348 | + | 0.113532i | ||||
\(364\) | − | 17.3364i | − | 0.908672i | ||||||
\(365\) | −24.3617 | + | 8.81073i | −1.27515 | + | 0.461175i | ||||
\(366\) | −2.15510 | + | 12.7627i | −0.112649 | + | 0.667117i | ||||
\(367\) | −21.3709 | −1.11555 | −0.557777 | − | 0.829991i | \(-0.688346\pi\) | ||||
−0.557777 | + | 0.829991i | \(0.688346\pi\) | |||||||
\(368\) | − | 7.09305i | − | 0.369751i | ||||||
\(369\) | 3.72042 | − | 10.7022i | 0.193677 | − | 0.557136i | ||||
\(370\) | 3.99425 | − | 1.44457i | 0.207651 | − | 0.0750999i | ||||
\(371\) | 10.3998 | 0.539928 | ||||||||
\(372\) | 7.69688 | + | 5.81017i | 0.399065 | + | 0.301243i | ||||
\(373\) | − | 4.72525i | − | 0.244664i | −0.992489 | − | 0.122332i | \(-0.960963\pi\) | ||
0.992489 | − | 0.122332i | \(-0.0390373\pi\) | |||||||
\(374\) | 14.0110i | 0.724493i | ||||||||
\(375\) | −12.4307 | + | 14.8485i | −0.641916 | + | 0.766775i | ||||
\(376\) | 6.33921 | 0.326920 | ||||||||
\(377\) | −23.1815 | −1.19391 | ||||||||
\(378\) | −11.5734 | + | 21.0924i | −0.595271 | + | 1.08488i | ||||
\(379\) | −5.68757 | −0.292151 | −0.146075 | − | 0.989273i | \(-0.546664\pi\) | ||||
−0.146075 | + | 0.989273i | \(0.546664\pi\) | |||||||
\(380\) | −11.9653 | + | 4.32742i | −0.613807 | + | 0.221992i | ||||
\(381\) | −25.4363 | − | 4.29515i | −1.30314 | − | 0.220047i | ||||
\(382\) | 19.0402i | 0.974180i | ||||||||
\(383\) | − | 13.3422i | − | 0.681753i | −0.940108 | − | 0.340876i | \(-0.889276\pi\) | ||
0.940108 | − | 0.340876i | \(-0.110724\pi\) | |||||||
\(384\) | 1.70787 | + | 0.288390i | 0.0871545 | + | 0.0147168i | ||||
\(385\) | −6.58708 | − | 18.2133i | −0.335709 | − | 0.928235i | ||||
\(386\) | − | 8.94203i | − | 0.455137i | ||||||
\(387\) | −15.2854 | − | 5.31368i | −0.777003 | − | 0.270110i | ||||
\(388\) | 1.87390i | 0.0951331i | ||||||||
\(389\) | 26.3747 | 1.33725 | 0.668626 | − | 0.743598i | \(-0.266883\pi\) | ||||
0.668626 | + | 0.743598i | \(0.266883\pi\) | |||||||
\(390\) | −14.2677 | + | 2.59255i | −0.722474 | + | 0.131279i | ||||
\(391\) | 53.1254 | 2.68667 | ||||||||
\(392\) | 14.4383 | 0.729244 | ||||||||
\(393\) | −0.606277 | + | 3.59043i | −0.0305826 | + | 0.181113i | ||||
\(394\) | 23.0376i | 1.16062i | ||||||||
\(395\) | 8.08881 | + | 22.3656i | 0.406992 | + | 1.12533i | ||||
\(396\) | −5.30089 | − | 1.84275i | −0.266380 | − | 0.0926017i | ||||
\(397\) | − | 0.462918i | − | 0.0232332i | −0.999933 | − | 0.0116166i | \(-0.996302\pi\) | ||
0.999933 | − | 0.0116166i | \(-0.00369776\pi\) | |||||||
\(398\) | − | 26.0461i | − | 1.30557i | ||||||
\(399\) | −7.59814 | + | 44.9969i | −0.380383 | + | 2.25266i | ||||
\(400\) | 3.84329 | − | 3.19830i | 0.192165 | − | 0.159915i | ||||
\(401\) | 21.9242 | 1.09484 | 0.547421 | − | 0.836858i | \(-0.315610\pi\) | ||||
0.547421 | + | 0.836858i | \(0.315610\pi\) | |||||||
\(402\) | 2.36179 | − | 13.9868i | 0.117796 | − | 0.697597i | ||||
\(403\) | 18.4976 | + | 9.61435i | 0.921431 | + | 0.478925i | ||||
\(404\) | − | 0.0683091i | − | 0.00339851i | ||||||
\(405\) | 19.0897 | + | 6.37057i | 0.948574 | + | 0.316556i | ||||
\(406\) | − | 28.6665i | − | 1.42270i | ||||||
\(407\) | 3.55340 | 0.176136 | ||||||||
\(408\) | −2.15998 | + | 12.7916i | −0.106935 | + | 0.633278i | ||||
\(409\) | − | 29.5580i | − | 1.46155i | −0.682618 | − | 0.730775i | \(-0.739159\pi\) | ||
0.682618 | − | 0.730775i | \(-0.260841\pi\) | |||||||
\(410\) | 2.87225 | + | 7.94178i | 0.141851 | + | 0.392217i | ||||
\(411\) | 2.74989 | − | 16.2851i | 0.135642 | − | 0.803287i | ||||
\(412\) | − | 4.29810i | − | 0.211752i | ||||||
\(413\) | 21.2061 | 1.04348 | ||||||||
\(414\) | −6.98713 | + | 20.0993i | −0.343399 | + | 0.987827i | ||||
\(415\) | −0.770767 | − | 2.13117i | −0.0378355 | − | 0.104615i | ||||
\(416\) | 3.74423 | 0.183576 | ||||||||
\(417\) | 3.74576 | − | 22.1828i | 0.183431 | − | 1.08630i | ||||
\(418\) | −10.6447 | −0.520649 | ||||||||
\(419\) | 14.8158i | 0.723797i | 0.932218 | + | 0.361898i | \(0.117871\pi\) | ||||
−0.932218 | + | 0.361898i | \(0.882129\pi\) | |||||||
\(420\) | −3.20598 | − | 17.6436i | −0.156436 | − | 0.860919i | ||||
\(421\) | 6.36850 | 0.310382 | 0.155191 | − | 0.987885i | \(-0.450401\pi\) | ||||
0.155191 | + | 0.987885i | \(0.450401\pi\) | |||||||
\(422\) | −12.5032 | −0.608646 | ||||||||
\(423\) | −17.9632 | − | 6.24455i | −0.873400 | − | 0.303620i | ||||
\(424\) | 2.24609i | 0.109080i | ||||||||
\(425\) | 23.9546 | + | 28.7854i | 1.16197 | + | 1.39630i | ||||
\(426\) | −4.29400 | + | 25.4295i | −0.208045 | + | 1.23206i | ||||
\(427\) | −34.6005 | −1.67444 | ||||||||
\(428\) | −3.57584 | −0.172845 | ||||||||
\(429\) | −11.9624 | − | 2.01996i | −0.577551 | − | 0.0975248i | ||||
\(430\) | 11.3428 | − | 4.10230i | 0.547001 | − | 0.197830i | ||||
\(431\) | 3.42192i | 0.164828i | 0.996598 | + | 0.0824141i | \(0.0262630\pi\) | ||||
−0.996598 | + | 0.0824141i | \(0.973737\pi\) | |||||||
\(432\) | −4.55545 | − | 2.49957i | −0.219174 | − | 0.120261i | ||||
\(433\) | 9.25300 | 0.444671 | 0.222335 | − | 0.974970i | \(-0.428632\pi\) | ||||
0.222335 | + | 0.974970i | \(0.428632\pi\) | |||||||
\(434\) | −11.8892 | + | 22.8743i | −0.570700 | + | 1.09800i | ||||
\(435\) | −23.5924 | + | 4.28692i | −1.13117 | + | 0.205542i | ||||
\(436\) | 0.722467 | 0.0345999 | ||||||||
\(437\) | 40.3613i | 1.93074i | ||||||||
\(438\) | −19.7866 | − | 3.34114i | −0.945439 | − | 0.159646i | ||||
\(439\) | −1.50233 | −0.0717025 | −0.0358512 | − | 0.999357i | \(-0.511414\pi\) | ||||
−0.0358512 | + | 0.999357i | \(0.511414\pi\) | |||||||
\(440\) | 3.93363 | − | 1.42265i | 0.187528 | − | 0.0678222i | ||||
\(441\) | −40.9133 | − | 14.2227i | −1.94825 | − | 0.677271i | ||||
\(442\) | 28.0435i | 1.33389i | ||||||||
\(443\) | 16.4755 | 0.782773 | 0.391387 | − | 0.920226i | \(-0.371996\pi\) | ||||
0.391387 | + | 0.920226i | \(0.371996\pi\) | |||||||
\(444\) | 3.24413 | + | 0.547801i | 0.153960 | + | 0.0259975i | ||||
\(445\) | −25.0003 | + | 9.04168i | −1.18513 | + | 0.428617i | ||||
\(446\) | −10.7677 | −0.509864 | ||||||||
\(447\) | 0.218438 | − | 1.29361i | 0.0103317 | − | 0.0611856i | ||||
\(448\) | 4.63015i | 0.218754i | ||||||||
\(449\) | −36.9554 | −1.74403 | −0.872016 | − | 0.489477i | \(-0.837188\pi\) | ||||
−0.872016 | + | 0.489477i | \(0.837188\pi\) | |||||||
\(450\) | −14.0411 | + | 5.27700i | −0.661905 | + | 0.248760i | ||||
\(451\) | 7.06524i | 0.332689i | ||||||||
\(452\) | 5.66365 | 0.266396 | ||||||||
\(453\) | 2.40336 | − | 14.2329i | 0.112920 | − | 0.668722i | ||||
\(454\) | 18.5144 | 0.868926 | ||||||||
\(455\) | −13.1842 | − | 36.4544i | −0.618086 | − | 1.70901i | ||||
\(456\) | −9.71824 | − | 1.64101i | −0.455098 | − | 0.0768475i | ||||
\(457\) | 10.2884 | 0.481272 | 0.240636 | − | 0.970615i | \(-0.422644\pi\) | ||||
0.240636 | + | 0.970615i | \(0.422644\pi\) | |||||||
\(458\) | 13.3537i | 0.623976i | ||||||||
\(459\) | 18.7212 | − | 34.1194i | 0.873832 | − | 1.59255i | ||||
\(460\) | −5.39424 | − | 14.9151i | −0.251508 | − | 0.695418i | ||||
\(461\) | −2.30344 | −0.107282 | −0.0536409 | − | 0.998560i | \(-0.517083\pi\) | ||||
−0.0536409 | + | 0.998560i | \(0.517083\pi\) | |||||||
\(462\) | 2.49791 | − | 14.7929i | 0.116213 | − | 0.688226i | ||||
\(463\) | −25.3450 | −1.17788 | −0.588941 | − | 0.808176i | \(-0.700455\pi\) | ||||
−0.588941 | + | 0.808176i | \(0.700455\pi\) | |||||||
\(464\) | 6.19127 | 0.287423 | ||||||||
\(465\) | 20.6034 | + | 6.36401i | 0.955459 | + | 0.295124i | ||||
\(466\) | 15.4812 | 0.717150 | ||||||||
\(467\) | 17.8054 | 0.823936 | 0.411968 | − | 0.911198i | \(-0.364842\pi\) | ||||
0.411968 | + | 0.911198i | \(0.364842\pi\) | |||||||
\(468\) | −10.6099 | − | 3.68832i | −0.490442 | − | 0.170493i | ||||
\(469\) | 37.9190 | 1.75094 | ||||||||
\(470\) | 13.3299 | − | 4.82095i | 0.614863 | − | 0.222374i | ||||
\(471\) | 4.24221 | − | 25.1228i | 0.195471 | − | 1.15760i | ||||
\(472\) | 4.58001i | 0.210812i | ||||||||
\(473\) | 10.0909 | 0.463981 | ||||||||
\(474\) | −3.06738 | + | 18.1653i | −0.140890 | + | 0.834362i | ||||
\(475\) | −21.8693 | + | 18.1991i | −1.00343 | + | 0.835034i | ||||
\(476\) | −34.6788 | −1.58950 | ||||||||
\(477\) | 2.21255 | − | 6.36467i | 0.101306 | − | 0.291418i | ||||
\(478\) | −0.761904 | −0.0348487 | ||||||||
\(479\) | 2.01777i | 0.0921943i | 0.998937 | + | 0.0460972i | \(0.0146784\pi\) | ||||
−0.998937 | + | 0.0460972i | \(0.985322\pi\) | |||||||
\(480\) | 3.81059 | − | 0.692413i | 0.173929 | − | 0.0316042i | ||||
\(481\) | 7.11223 | 0.324290 | ||||||||
\(482\) | − | 18.2543i | − | 0.831462i | ||||||
\(483\) | −56.0898 | − | 9.47127i | −2.55217 | − | 0.430958i | ||||
\(484\) | −7.50053 | −0.340933 | ||||||||
\(485\) | 1.42510 | + | 3.94039i | 0.0647103 | + | 0.178924i | ||||
\(486\) | 10.4464 | + | 11.5704i | 0.473857 | + | 0.524842i | ||||
\(487\) | −3.07265 | −0.139235 | −0.0696175 | − | 0.997574i | \(-0.522178\pi\) | ||||
−0.0696175 | + | 0.997574i | \(0.522178\pi\) | |||||||
\(488\) | − | 7.47286i | − | 0.338281i | ||||||
\(489\) | 6.67350 | − | 39.5212i | 0.301786 | − | 1.78721i | ||||
\(490\) | 30.3604 | − | 10.9803i | 1.37154 | − | 0.496038i | ||||
\(491\) | −29.3658 | −1.32526 | −0.662631 | − | 0.748946i | \(-0.730560\pi\) | ||||
−0.662631 | + | 0.748946i | \(0.730560\pi\) | |||||||
\(492\) | −1.08920 | + | 6.45033i | −0.0491048 | + | 0.290803i | ||||
\(493\) | 46.3713i | 2.08846i | ||||||||
\(494\) | −21.3056 | −0.958586 | ||||||||
\(495\) | −12.5480 | + | 0.156424i | −0.563989 | + | 0.00703076i | ||||
\(496\) | −4.94030 | − | 2.56778i | −0.221826 | − | 0.115297i | ||||
\(497\) | −68.9409 | −3.09242 | ||||||||
\(498\) | 0.292285 | − | 1.73094i | 0.0130976 | − | 0.0775653i | ||||
\(499\) | 5.25604i | 0.235293i | 0.993056 | + | 0.117646i | \(0.0375349\pi\) | ||||
−0.993056 | + | 0.117646i | \(0.962465\pi\) | |||||||
\(500\) | 5.64927 | − | 9.64810i | 0.252643 | − | 0.431476i | ||||
\(501\) | 0.503066 | − | 2.97921i | 0.0224753 | − | 0.133101i | ||||
\(502\) | −11.4833 | −0.512526 | ||||||||
\(503\) | 36.0788 | 1.60868 | 0.804338 | − | 0.594172i | \(-0.202520\pi\) | ||||
0.804338 | + | 0.594172i | \(0.202520\pi\) | |||||||
\(504\) | 4.56101 | − | 13.1203i | 0.203163 | − | 0.584424i | ||||
\(505\) | −0.0519488 | − | 0.143638i | −0.00231169 | − | 0.00639183i | ||||
\(506\) | − | 13.2689i | − | 0.589874i | ||||||
\(507\) | −1.74077 | − | 0.293944i | −0.0773101 | − | 0.0130545i | ||||
\(508\) | 14.8935 | 0.660794 | ||||||||
\(509\) | 19.4979 | 0.864229 | 0.432115 | − | 0.901819i | \(-0.357768\pi\) | ||||
0.432115 | + | 0.901819i | \(0.357768\pi\) | |||||||
\(510\) | 5.18602 | + | 28.5405i | 0.229641 | + | 1.26379i | ||||
\(511\) | − | 53.6427i | − | 2.37301i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 25.9217 | + | 14.2232i | 1.14447 | + | 0.627969i | ||||
\(514\) | −16.8528 | −0.743346 | ||||||||
\(515\) | −3.26869 | − | 9.03792i | −0.144036 | − | 0.398258i | ||||
\(516\) | 9.21267 | + | 1.55564i | 0.405565 | + | 0.0684834i | ||||
\(517\) | 11.8587 | 0.521544 | ||||||||
\(518\) | 8.79505i | 0.386432i | ||||||||
\(519\) | −8.00997 | − | 1.35256i | −0.351599 | − | 0.0593706i | ||||
\(520\) | 7.87326 | − | 2.84747i | 0.345265 | − | 0.124870i | ||||
\(521\) | 29.8201i | 1.30644i | 0.757168 | + | 0.653220i | \(0.226583\pi\) | ||||
−0.757168 | + | 0.653220i | \(0.773417\pi\) | |||||||
\(522\) | −17.5440 | − | 6.09882i | −0.767879 | − | 0.266938i | ||||
\(523\) | 39.1450 | 1.71169 | 0.855847 | − | 0.517230i | \(-0.173037\pi\) | ||||
0.855847 | + | 0.517230i | \(0.173037\pi\) | |||||||
\(524\) | − | 2.10228i | − | 0.0918386i | ||||||
\(525\) | −20.1593 | − | 34.6623i | −0.879824 | − | 1.51279i | ||||
\(526\) | − | 8.89826i | − | 0.387982i | ||||||
\(527\) | 19.2321 | − | 37.0017i | 0.837763 | − | 1.61182i | ||||
\(528\) | 3.19490 | + | 0.539487i | 0.139040 | + | 0.0234782i | ||||
\(529\) | −27.3114 | −1.18745 | ||||||||
\(530\) | 1.70815 | + | 4.72302i | 0.0741971 | + | 0.205155i | ||||
\(531\) | 4.51161 | − | 12.9782i | 0.195787 | − | 0.563205i | ||||
\(532\) | − | 26.3468i | − | 1.14228i | ||||||
\(533\) | 14.1413i | 0.612527i | ||||||||
\(534\) | −20.3052 | − | 3.42872i | −0.878694 | − | 0.148375i | ||||
\(535\) | −7.51918 | + | 2.71942i | −0.325083 | + | 0.117571i | ||||
\(536\) | 8.18959i | 0.353736i | ||||||||
\(537\) | −23.8889 | − | 4.03386i | −1.03088 | − | 0.174074i | ||||
\(538\) | 9.75034 | 0.420367 | ||||||||
\(539\) | 27.0095 | 1.16338 | ||||||||
\(540\) | −11.4800 | − | 1.79162i | −0.494020 | − | 0.0770990i | ||||
\(541\) | −34.5072 | −1.48358 | −0.741790 | − | 0.670632i | \(-0.766023\pi\) | ||||
−0.741790 | + | 0.670632i | \(0.766023\pi\) | |||||||
\(542\) | − | 11.9409i | − | 0.512907i | ||||||
\(543\) | −2.92493 | + | 17.3217i | −0.125521 | + | 0.743346i | ||||
\(544\) | − | 7.48978i | − | 0.321122i | ||||||
\(545\) | 1.51918 | − | 0.549433i | 0.0650746 | − | 0.0235351i | ||||
\(546\) | 4.99963 | − | 29.6083i | 0.213964 | − | 1.26712i | ||||
\(547\) | 35.9520i | 1.53720i | 0.639733 | + | 0.768598i | \(0.279045\pi\) | ||||
−0.639733 | + | 0.768598i | \(0.720955\pi\) | |||||||
\(548\) | 9.53533i | 0.407329i | ||||||||
\(549\) | −7.36127 | + | 21.1756i | −0.314171 | + | 0.903752i | ||||
\(550\) | 7.18960 | − | 5.98301i | 0.306565 | − | 0.255117i | ||||
\(551\) | −35.2299 | −1.50085 | ||||||||
\(552\) | 2.04556 | − | 12.1140i | 0.0870650 | − | 0.515608i | ||||
\(553\) | −49.2474 | −2.09421 | ||||||||
\(554\) | 0.764760 | 0.0324916 | ||||||||
\(555\) | 7.23827 | − | 1.31525i | 0.307248 | − | 0.0558292i | ||||
\(556\) | 12.9885i | 0.550837i | ||||||||
\(557\) | 1.42329i | 0.0603066i | 0.999545 | + | 0.0301533i | \(0.00959955\pi\) | ||||
−0.999545 | + | 0.0301533i | \(0.990400\pi\) | |||||||
\(558\) | 11.4697 | + | 12.1427i | 0.485551 | + | 0.514043i | ||||
\(559\) | 20.1973 | 0.854253 | ||||||||
\(560\) | 3.52121 | + | 9.73615i | 0.148798 | + | 0.411427i | ||||
\(561\) | −4.04064 | + | 23.9291i | −0.170596 | + | 1.01029i | ||||
\(562\) | 20.0130i | 0.844198i | ||||||||
\(563\) | −25.8966 | −1.09141 | −0.545706 | − | 0.837976i | \(-0.683739\pi\) | ||||
−0.545706 | + | 0.837976i | \(0.683739\pi\) | |||||||
\(564\) | 10.8266 | + | 1.82817i | 0.455881 | + | 0.0769796i | ||||
\(565\) | 11.9094 | − | 4.30718i | 0.501031 | − | 0.181205i | ||||
\(566\) | 16.2273i | 0.682083i | ||||||||
\(567\) | −25.8487 | + | 32.6856i | −1.08554 | + | 1.37266i | ||||
\(568\) | − | 14.8896i | − | 0.624752i | ||||||
\(569\) | 28.1930 | 1.18191 | 0.590956 | − | 0.806704i | \(-0.298751\pi\) | ||||
0.590956 | + | 0.806704i | \(0.298751\pi\) | |||||||
\(570\) | −21.6832 | + | 3.94001i | −0.908210 | + | 0.165029i | ||||
\(571\) | − | 40.1560i | − | 1.68047i | −0.542219 | − | 0.840237i | \(-0.682416\pi\) | ||
0.542219 | − | 0.840237i | \(-0.317584\pi\) | |||||||
\(572\) | 7.00428 | 0.292864 | ||||||||
\(573\) | −5.49100 | + | 32.5182i | −0.229390 | + | 1.35847i | ||||
\(574\) | −17.4872 | −0.729903 | ||||||||
\(575\) | −22.6857 | − | 27.2607i | −0.946059 | − | 1.13685i | ||||
\(576\) | 2.83366 | + | 0.985067i | 0.118069 | + | 0.0410445i | ||||
\(577\) | 34.9593i | 1.45537i | 0.685909 | + | 0.727687i | \(0.259405\pi\) | ||||
−0.685909 | + | 0.727687i | \(0.740595\pi\) | |||||||
\(578\) | 39.0968 | 1.62621 | ||||||||
\(579\) | 2.57879 | − | 15.2719i | 0.107171 | − | 0.634676i | ||||
\(580\) | 13.0188 | − | 4.70844i | 0.540577 | − | 0.195507i | ||||
\(581\) | 4.69269 | 0.194685 | ||||||||
\(582\) | −0.540415 | + | 3.20039i | −0.0224009 | + | 0.132660i | ||||
\(583\) | 4.20174i | 0.174018i | ||||||||
\(584\) | 11.5855 | 0.479412 | ||||||||
\(585\) | −25.1151 | + | 0.313088i | −1.03838 | + | 0.0129446i | ||||
\(586\) | 11.1515 | 0.460665 | ||||||||
\(587\) | 20.1909i | 0.833370i | 0.909051 | + | 0.416685i | \(0.136808\pi\) | ||||
−0.909051 | + | 0.416685i | \(0.863192\pi\) | |||||||
\(588\) | 24.6588 | + | 4.16386i | 1.01691 | + | 0.171715i | ||||
\(589\) | 28.1116 | + | 14.6113i | 1.15832 | + | 0.602049i | ||||
\(590\) | 3.48308 | + | 9.63070i | 0.143396 | + | 0.396490i | ||||
\(591\) | −6.64380 | + | 39.3453i | −0.273290 | + | 1.61845i | ||||
\(592\) | −1.89952 | −0.0780697 | ||||||||
\(593\) | 17.1815 | 0.705561 | 0.352781 | − | 0.935706i | \(-0.385236\pi\) | ||||
0.352781 | + | 0.935706i | \(0.385236\pi\) | |||||||
\(594\) | −8.52183 | − | 4.67591i | −0.349655 | − | 0.191855i | ||||
\(595\) | −72.9216 | + | 26.3731i | −2.98949 | + | 1.08119i | ||||
\(596\) | 0.757439i | 0.0310259i | ||||||||
\(597\) | 7.51142 | − | 44.4834i | 0.307422 | − | 1.82058i | ||||
\(598\) | − | 26.5580i | − | 1.08604i | ||||||
\(599\) | − | 3.82810i | − | 0.156412i | −0.996937 | − | 0.0782059i | \(-0.975081\pi\) | ||
0.996937 | − | 0.0782059i | \(-0.0249192\pi\) | |||||||
\(600\) | 7.48621 | − | 4.35392i | 0.305623 | − | 0.177748i | ||||
\(601\) | 29.1438i | 1.18880i | 0.804169 | + | 0.594401i | \(0.202611\pi\) | ||||
−0.804169 | + | 0.594401i | \(0.797389\pi\) | |||||||
\(602\) | 24.9761i | 1.01795i | ||||||||
\(603\) | 8.06729 | − | 23.2065i | 0.328525 | − | 0.945043i | ||||
\(604\) | 8.33372i | 0.339094i | ||||||||
\(605\) | −15.7719 | + | 5.70412i | −0.641219 | + | 0.231906i | ||||
\(606\) | 0.0196997 | − | 0.116663i | 0.000800244 | − | 0.00473912i | ||||
\(607\) | − | 12.0048i | − | 0.487260i | −0.969868 | − | 0.243630i | \(-0.921662\pi\) | ||
0.969868 | − | 0.243630i | \(-0.0783382\pi\) | |||||||
\(608\) | 5.69026 | 0.230770 | ||||||||
\(609\) | 8.26713 | − | 48.9588i | 0.335001 | − | 1.98391i | ||||
\(610\) | −5.68308 | − | 15.7137i | −0.230101 | − | 0.636230i | ||||
\(611\) | 23.7355 | 0.960235 | ||||||||
\(612\) | −7.37794 | + | 21.2235i | −0.298235 | + | 0.857910i | ||||
\(613\) | −11.0775 | −0.447414 | −0.223707 | − | 0.974656i | \(-0.571816\pi\) | ||||
−0.223707 | + | 0.974656i | \(0.571816\pi\) | |||||||
\(614\) | 8.36560i | 0.337608i | ||||||||
\(615\) | 2.61512 | + | 14.3919i | 0.105452 | + | 0.580337i | ||||
\(616\) | 8.66156i | 0.348984i | ||||||||
\(617\) | 17.7290 | 0.713744 | 0.356872 | − | 0.934153i | \(-0.383843\pi\) | ||||
0.356872 | + | 0.934153i | \(0.383843\pi\) | |||||||
\(618\) | 1.23953 | − | 7.34061i | 0.0498612 | − | 0.295283i | ||||
\(619\) | − | 18.8323i | − | 0.756932i | −0.925615 | − | 0.378466i | \(-0.876452\pi\) | ||
0.925615 | − | 0.378466i | \(-0.123548\pi\) | |||||||
\(620\) | −12.3411 | − | 1.64237i | −0.495630 | − | 0.0659593i | ||||
\(621\) | −17.7296 | + | 32.3121i | −0.711463 | + | 1.29664i | ||||
\(622\) | − | 0.660154i | − | 0.0264698i | ||||||
\(623\) | − | 55.0488i | − | 2.20548i | ||||||
\(624\) | 6.39467 | + | 1.07980i | 0.255992 | + | 0.0432265i | ||||
\(625\) | 4.54179 | − | 24.5840i | 0.181671 | − | 0.983359i | ||||
\(626\) | 18.7240 | 0.748361 | ||||||||
\(627\) | −18.1798 | − | 3.06982i | −0.726030 | − | 0.122597i | ||||
\(628\) | 14.7100i | 0.586993i | ||||||||
\(629\) | − | 14.2270i | − | 0.567266i | ||||||
\(630\) | −0.387167 | − | 31.0576i | −0.0154251 | − | 1.23736i | ||||
\(631\) | − | 3.44163i | − | 0.137009i | −0.997651 | − | 0.0685046i | \(-0.978177\pi\) | ||
0.997651 | − | 0.0685046i | \(-0.0218228\pi\) | |||||||
\(632\) | − | 10.6362i | − | 0.423087i | ||||||
\(633\) | −21.3539 | − | 3.60580i | −0.848740 | − | 0.143318i | ||||
\(634\) | 13.9521 | 0.554111 | ||||||||
\(635\) | 31.3177 | − | 11.3265i | 1.24281 | − | 0.449478i | ||||
\(636\) | −0.647751 | + | 3.83604i | −0.0256850 | + | 0.152109i | ||||
\(637\) | 54.0603 | 2.14195 | ||||||||
\(638\) | 11.5819 | 0.458533 | ||||||||
\(639\) | −14.6672 | + | 42.1920i | −0.580226 | + | 1.66909i | ||||
\(640\) | −2.10277 | + | 0.760496i | −0.0831193 | + | 0.0300612i | ||||
\(641\) | −17.8008 | −0.703089 | −0.351544 | − | 0.936171i | \(-0.614343\pi\) | ||||
−0.351544 | + | 0.936171i | \(0.614343\pi\) | |||||||
\(642\) | −6.10709 | − | 1.03124i | −0.241028 | − | 0.0406997i | ||||
\(643\) | 39.9209 | 1.57433 | 0.787163 | − | 0.616745i | \(-0.211549\pi\) | ||||
0.787163 | + | 0.616745i | \(0.211549\pi\) | |||||||
\(644\) | 32.8419 | 1.29415 | ||||||||
\(645\) | 20.5552 | − | 3.73504i | 0.809360 | − | 0.147067i | ||||
\(646\) | 42.6188i | 1.67681i | ||||||||
\(647\) | − | 4.44082i | − | 0.174587i | −0.996183 | − | 0.0872933i | \(-0.972178\pi\) | ||
0.996183 | − | 0.0872933i | \(-0.0278217\pi\) | |||||||
\(648\) | −7.05929 | − | 5.58269i | −0.277315 | − | 0.219309i | ||||
\(649\) | 8.56776i | 0.336314i | ||||||||
\(650\) | 14.3902 | − | 11.9752i | 0.564429 | − | 0.469704i | ||||
\(651\) | −26.9020 | + | 35.6377i | −1.05437 | + | 1.39675i | ||||
\(652\) | 23.1406i | 0.906254i | ||||||||
\(653\) | 1.38460 | 0.0541836 | 0.0270918 | − | 0.999633i | \(-0.491375\pi\) | ||||
0.0270918 | + | 0.999633i | \(0.491375\pi\) | |||||||
\(654\) | 1.23388 | + | 0.208352i | 0.0482486 | + | 0.00814721i | ||||
\(655\) | −1.59878 | − | 4.42062i | −0.0624694 | − | 0.172728i | ||||
\(656\) | − | 3.77682i | − | 0.147460i | ||||||
\(657\) | −32.8294 | − | 11.4125i | −1.28080 | − | 0.445244i | ||||
\(658\) | 29.3515i | 1.14424i | ||||||||
\(659\) | − | 13.6889i | − | 0.533244i | −0.963801 | − | 0.266622i | \(-0.914093\pi\) | ||
0.963801 | − | 0.266622i | \(-0.0859075\pi\) | |||||||
\(660\) | 7.12841 | − | 1.29529i | 0.277473 | − | 0.0504190i | ||||
\(661\) | −12.5113 | −0.486635 | −0.243317 | − | 0.969947i | \(-0.578236\pi\) | ||||
−0.243317 | + | 0.969947i | \(0.578236\pi\) | |||||||
\(662\) | − | 6.38971i | − | 0.248343i | ||||||
\(663\) | −8.08745 | + | 47.8947i | −0.314091 | + | 1.86008i | ||||
\(664\) | 1.01351i | 0.0393317i | ||||||||
\(665\) | −20.0366 | − | 55.4012i | −0.776986 | − | 2.14837i | ||||
\(666\) | 5.38259 | + | 1.87115i | 0.208571 | + | 0.0725056i | ||||
\(667\) | − | 43.9150i | − | 1.70040i | ||||||
\(668\) | 1.74440i | 0.0674927i | ||||||||
\(669\) | −18.3898 | − | 3.10529i | −0.710991 | − | 0.120057i | ||||
\(670\) | 6.22815 | + | 17.2208i | 0.240614 | + | 0.665298i | ||||
\(671\) | − | 13.9794i | − | 0.539668i | ||||||
\(672\) | −1.33529 | + | 7.90771i | −0.0515099 | + | 0.305047i | ||||
\(673\) | 5.78515 | 0.223001 | 0.111501 | − | 0.993764i | \(-0.464434\pi\) | ||||
0.111501 | + | 0.993764i | \(0.464434\pi\) | |||||||
\(674\) | −18.0566 | −0.695515 | ||||||||
\(675\) | −25.5023 | + | 4.96312i | −0.981584 | + | 0.191031i | ||||
\(676\) | 1.01926 | 0.0392023 | ||||||||
\(677\) | − | 2.68779i | − | 0.103300i | −0.998665 | − | 0.0516500i | \(-0.983552\pi\) | ||
0.998665 | − | 0.0516500i | \(-0.0164480\pi\) | |||||||
\(678\) | 9.67280 | + | 1.63334i | 0.371482 | + | 0.0627280i | ||||
\(679\) | −8.67646 | −0.332972 | ||||||||
\(680\) | −5.69595 | − | 15.7493i | −0.218430 | − | 0.603958i | ||||
\(681\) | 31.6203 | + | 5.33938i | 1.21169 | + | 0.204605i | ||||
\(682\) | −9.24175 | − | 4.80351i | −0.353885 | − | 0.183936i | ||||
\(683\) | 48.7180 | 1.86414 | 0.932071 | − | 0.362275i | \(-0.118000\pi\) | ||||
0.932071 | + | 0.362275i | \(0.118000\pi\) | |||||||
\(684\) | −16.1243 | − | 5.60528i | −0.616527 | − | 0.214323i | ||||
\(685\) | 7.25158 | + | 20.0506i | 0.277069 | + | 0.766095i | ||||
\(686\) | 34.4404i | 1.31494i | ||||||||
\(687\) | −3.85106 | + | 22.8064i | −0.146927 | + | 0.870117i | ||||
\(688\) | −5.39424 | −0.205653 | ||||||||
\(689\) | 8.40989i | 0.320391i | ||||||||
\(690\) | −4.91132 | − | 27.0287i | −0.186971 | − | 1.02896i | ||||
\(691\) | −14.1466 | −0.538162 | −0.269081 | − | 0.963118i | \(-0.586720\pi\) | ||||
−0.269081 | + | 0.963118i | \(0.586720\pi\) | |||||||
\(692\) | 4.69003 | 0.178288 | ||||||||
\(693\) | 8.53222 | − | 24.5439i | 0.324112 | − | 0.932347i | ||||
\(694\) | − | 9.00187i | − | 0.341706i | ||||||
\(695\) | 9.87773 | + | 27.3119i | 0.374684 | + | 1.03600i | ||||
\(696\) | 10.5739 | + | 1.78550i | 0.400803 | + | 0.0676792i | ||||
\(697\) | 28.2875 | 1.07147 | ||||||||
\(698\) | −7.59014 | −0.287291 | ||||||||
\(699\) | 26.4398 | + | 4.46461i | 1.00005 | + | 0.168867i | ||||
\(700\) | 14.8086 | + | 17.7950i | 0.559712 | + | 0.672589i | ||||
\(701\) | 33.4256i | 1.26247i | 0.775593 | + | 0.631234i | \(0.217451\pi\) | ||||
−0.775593 | + | 0.631234i | \(0.782549\pi\) | |||||||
\(702\) | −17.0567 | − | 9.35896i | −0.643762 | − | 0.353231i | ||||
\(703\) | 10.8087 | 0.407659 | ||||||||
\(704\) | −1.87069 | −0.0705042 | ||||||||
\(705\) | 24.1561 | − | 4.38935i | 0.909772 | − | 0.165313i | ||||
\(706\) | − | 15.9984i | − | 0.602109i | ||||||
\(707\) | 0.316282 | 0.0118950 | ||||||||
\(708\) | −1.32083 | + | 7.82207i | −0.0496397 | + | 0.293971i | ||||
\(709\) | 0.905420i | 0.0340037i | 0.999855 | + | 0.0170019i | \(0.00541213\pi\) | ||||
−0.999855 | + | 0.0170019i | \(0.994588\pi\) | |||||||
\(710\) | −11.3234 | − | 31.3093i | −0.424961 | − | 1.17502i | ||||
\(711\) | −10.4774 | + | 30.1395i | −0.392933 | + | 1.13032i | ||||
\(712\) | 11.8892 | 0.445566 | ||||||||
\(713\) | −18.2134 | + | 35.0418i | −0.682096 | + | 1.31232i | ||||
\(714\) | −59.2270 | − | 10.0010i | −2.21652 | − | 0.374279i | ||||
\(715\) | 14.7284 | − | 5.32673i | 0.550811 | − | 0.199208i | ||||
\(716\) | 13.9875 | 0.522738 | ||||||||
\(717\) | −1.30123 | − | 0.219725i | −0.0485955 | − | 0.00820579i | ||||
\(718\) | − | 20.9131i | − | 0.780470i | ||||||
\(719\) | −3.58919 | −0.133854 | −0.0669272 | − | 0.997758i | \(-0.521320\pi\) | ||||
−0.0669272 | + | 0.997758i | \(0.521320\pi\) | |||||||
\(720\) | 6.70768 | − | 0.0836188i | 0.249981 | − | 0.00311629i | ||||
\(721\) | 19.9009 | 0.741147 | ||||||||
\(722\) | −13.3790 | −0.497916 | ||||||||
\(723\) | 5.26436 | − | 31.1761i | 0.195784 | − | 1.15945i | ||||
\(724\) | − | 10.1423i | − | 0.376935i | ||||||
\(725\) | 23.7949 | − | 19.8015i | 0.883719 | − | 0.735410i | ||||
\(726\) | −12.8100 | − | 2.16308i | −0.475422 | − | 0.0802793i | ||||
\(727\) | 12.1901i | 0.452107i | 0.974115 | + | 0.226053i | \(0.0725824\pi\) | ||||
−0.974115 | + | 0.226053i | \(0.927418\pi\) | |||||||
\(728\) | 17.3364i | 0.642528i | ||||||||
\(729\) | 14.5043 | + | 22.7733i | 0.537197 | + | 0.843457i | ||||
\(730\) | 24.3617 | − | 8.81073i | 0.901666 | − | 0.326100i | ||||
\(731\) | − | 40.4017i | − | 1.49431i | ||||||
\(732\) | 2.15510 | − | 12.7627i | 0.0796547 | − | 0.471723i | ||||
\(733\) | 24.0067i | 0.886708i | 0.896347 | + | 0.443354i | \(0.146211\pi\) | ||||
−0.896347 | + | 0.443354i | \(0.853789\pi\) | |||||||
\(734\) | 21.3709 | 0.788816 | ||||||||
\(735\) | 55.0184 | − | 9.99726i | 2.02938 | − | 0.368755i | ||||
\(736\) | 7.09305i | 0.261453i | ||||||||
\(737\) | 15.3201i | 0.564325i | ||||||||
\(738\) | −3.72042 | + | 10.7022i | −0.136950 | + | 0.393954i | ||||
\(739\) | − | 3.10103i | − | 0.114073i | −0.998372 | − | 0.0570366i | \(-0.981835\pi\) | ||
0.998372 | − | 0.0570366i | \(-0.0181652\pi\) | |||||||
\(740\) | −3.99425 | + | 1.44457i | −0.146832 | + | 0.0531036i | ||||
\(741\) | −36.3873 | − | 6.14433i | −1.33672 | − | 0.225718i | ||||
\(742\) | −10.3998 | −0.381787 | ||||||||
\(743\) | 42.2873i | 1.55137i | 0.631119 | + | 0.775686i | \(0.282596\pi\) | ||||
−0.631119 | + | 0.775686i | \(0.717404\pi\) | |||||||
\(744\) | −7.69688 | − | 5.81017i | −0.282181 | − | 0.213011i | ||||
\(745\) | 0.576029 | + | 1.59272i | 0.0211041 | + | 0.0583528i | ||||
\(746\) | 4.72525i | 0.173004i | ||||||||
\(747\) | 0.998371 | − | 2.87193i | 0.0365285 | − | 0.105079i | ||||
\(748\) | − | 14.0110i | − | 0.512294i | ||||||
\(749\) | − | 16.5567i | − | 0.604969i | ||||||
\(750\) | 12.4307 | − | 14.8485i | 0.453903 | − | 0.542192i | ||||
\(751\) | 10.7908 | 0.393764 | 0.196882 | − | 0.980427i | \(-0.436918\pi\) | ||||
0.196882 | + | 0.980427i | \(0.436918\pi\) | |||||||
\(752\) | −6.33921 | −0.231167 | ||||||||
\(753\) | −19.6121 | − | 3.31167i | −0.714703 | − | 0.120684i | ||||
\(754\) | 23.1815 | 0.844222 | ||||||||
\(755\) | 6.33776 | + | 17.5239i | 0.230655 | + | 0.637760i | ||||
\(756\) | 11.5734 | − | 21.0924i | 0.420920 | − | 0.767124i | ||||
\(757\) | −20.2869 | −0.737340 | −0.368670 | − | 0.929560i | \(-0.620187\pi\) | ||||
−0.368670 | + | 0.929560i | \(0.620187\pi\) | |||||||
\(758\) | 5.68757 | 0.206582 | ||||||||
\(759\) | 3.82661 | − | 22.6616i | 0.138897 | − | 0.822563i | ||||
\(760\) | 11.9653 | − | 4.32742i | 0.434027 | − | 0.156972i | ||||
\(761\) | −30.3962 | −1.10186 | −0.550931 | − | 0.834550i | \(-0.685727\pi\) | ||||
−0.550931 | + | 0.834550i | \(0.685727\pi\) | |||||||
\(762\) | 25.4363 | + | 4.29515i | 0.921459 | + | 0.155597i | ||||
\(763\) | 3.34513i | 0.121102i | ||||||||
\(764\) | − | 19.0402i | − | 0.688850i | ||||||
\(765\) | 0.626286 | + | 50.2391i | 0.0226434 | + | 1.81640i | ||||
\(766\) | 13.3422i | 0.482072i | ||||||||
\(767\) | 17.1486i | 0.619200i | ||||||||
\(768\) | −1.70787 | − | 0.288390i | −0.0616276 | − | 0.0104064i | ||||
\(769\) | 45.1078 | 1.62663 | 0.813314 | − | 0.581825i | \(-0.197661\pi\) | ||||
0.813314 | + | 0.581825i | \(0.197661\pi\) | |||||||
\(770\) | 6.58708 | + | 18.2133i | 0.237382 | + | 0.656361i | ||||
\(771\) | −28.7825 | − | 4.86018i | −1.03658 | − | 0.175035i | ||||
\(772\) | 8.94203i | 0.321831i | ||||||||
\(773\) | 26.1504i | 0.940564i | 0.882516 | + | 0.470282i | \(0.155848\pi\) | ||||
−0.882516 | + | 0.470282i | \(0.844152\pi\) | |||||||
\(774\) | 15.2854 | + | 5.31368i | 0.549424 | + | 0.190996i | ||||
\(775\) | −27.1995 | + | 5.93182i | −0.977035 | + | 0.213077i | ||||
\(776\) | − | 1.87390i | − | 0.0672692i | ||||||
\(777\) | −2.53640 | + | 15.0208i | −0.0909930 | + | 0.538869i | ||||
\(778\) | −26.3747 | −0.945581 | ||||||||
\(779\) | 21.4911i | 0.769997i | ||||||||
\(780\) | 14.2677 | − | 2.59255i | 0.510866 | − | 0.0928283i | ||||
\(781\) | − | 27.8537i | − | 0.996683i | ||||||
\(782\) | −53.1254 | −1.89976 | ||||||||
\(783\) | −28.2040 | − | 15.4755i | −1.00793 | − | 0.553050i | ||||
\(784\) | −14.4383 | −0.515653 | ||||||||
\(785\) | 11.1869 | + | 30.9318i | 0.399277 | + | 1.10400i | ||||
\(786\) | 0.606277 | − | 3.59043i | 0.0216252 | − | 0.128066i | ||||
\(787\) | −22.0946 | −0.787588 | −0.393794 | − | 0.919199i | \(-0.628838\pi\) | ||||
−0.393794 | + | 0.919199i | \(0.628838\pi\) | |||||||
\(788\) | − | 23.0376i | − | 0.820680i | ||||||
\(789\) | 2.56617 | − | 15.1971i | 0.0913580 | − | 0.541031i | ||||
\(790\) | −8.08881 | − | 22.3656i | −0.287787 | − | 0.795731i | ||||
\(791\) | 26.2236i | 0.932403i | ||||||||
\(792\) | 5.30089 | + | 1.84275i | 0.188359 | + | 0.0654793i | ||||
\(793\) | − | 27.9801i | − | 0.993603i | ||||||
\(794\) | 0.462918i | 0.0164283i | ||||||||
\(795\) | 1.55522 | + | 8.55894i | 0.0551581 | + | 0.303554i | ||||
\(796\) | 26.0461i | 0.923178i | ||||||||
\(797\) | 15.1280i | 0.535860i | 0.963438 | + | 0.267930i | \(0.0863396\pi\) | ||||
−0.963438 | + | 0.267930i | \(0.913660\pi\) | |||||||
\(798\) | 7.59814 | − | 44.9969i | 0.268971 | − | 1.59287i | ||||
\(799\) | − | 47.4793i | − | 1.67970i | ||||||
\(800\) | −3.84329 | + | 3.19830i | −0.135881 | + | 0.113077i | ||||
\(801\) | −33.6900 | − | 11.7117i | −1.19038 | − | 0.413811i | ||||
\(802\) | −21.9242 | −0.774170 | ||||||||
\(803\) | 21.6729 | 0.764818 | ||||||||
\(804\) | −2.36179 | + | 13.9868i | −0.0832940 | + | 0.493276i | ||||
\(805\) | 69.0590 | − | 24.9761i | 2.43401 | − | 0.880293i | ||||
\(806\) | −18.4976 | − | 9.61435i | −0.651550 | − | 0.338651i | ||||
\(807\) | 16.6523 | + | 2.81190i | 0.586190 | + | 0.0989836i | ||||
\(808\) | 0.0683091i | 0.00240311i | ||||||||
\(809\) | −1.94130 | −0.0682523 | −0.0341262 | − | 0.999418i | \(-0.510865\pi\) | ||||
−0.0341262 | + | 0.999418i | \(0.510865\pi\) | |||||||
\(810\) | −19.0897 | − | 6.37057i | −0.670743 | − | 0.223839i | ||||
\(811\) | −11.1717 | −0.392291 | −0.196146 | − | 0.980575i | \(-0.562843\pi\) | ||||
−0.196146 | + | 0.980575i | \(0.562843\pi\) | |||||||
\(812\) | 28.6665i | 1.00600i | ||||||||
\(813\) | 3.44364 | − | 20.3936i | 0.120774 | − | 0.715235i | ||||
\(814\) | −3.55340 | −0.124547 | ||||||||
\(815\) | 17.5983 | + | 48.6593i | 0.616442 | + | 1.70446i | ||||
\(816\) | 2.15998 | − | 12.7916i | 0.0756143 | − | 0.447796i | ||||
\(817\) | 30.6946 | 1.07387 | ||||||||
\(818\) | 29.5580i | 1.03347i | ||||||||
\(819\) | 17.0775 | − | 49.1254i | 0.596735 | − | 1.71658i | ||||
\(820\) | −2.87225 | − | 7.94178i | −0.100303 | − | 0.277339i | ||||
\(821\) | −17.4325 | −0.608400 | −0.304200 | − | 0.952608i | \(-0.598389\pi\) | ||||
−0.304200 | + | 0.952608i | \(0.598389\pi\) | |||||||
\(822\) | −2.74989 | + | 16.2851i | −0.0959135 | + | 0.568009i | ||||
\(823\) | 32.8244 | 1.14419 | 0.572093 | − | 0.820189i | \(-0.306132\pi\) | ||||
0.572093 | + | 0.820189i | \(0.306132\pi\) | |||||||
\(824\) | 4.29810i | 0.149731i | ||||||||
\(825\) | 14.0044 | − | 8.14482i | 0.487569 | − | 0.283566i | ||||
\(826\) | −21.2061 | −0.737855 | ||||||||
\(827\) | − | 14.8857i | − | 0.517626i | −0.965927 | − | 0.258813i | \(-0.916669\pi\) | ||
0.965927 | − | 0.258813i | \(-0.0833314\pi\) | |||||||
\(828\) | 6.98713 | − | 20.0993i | 0.242820 | − | 0.698500i | ||||
\(829\) | − | 22.5880i | − | 0.784512i | −0.919856 | − | 0.392256i | \(-0.871695\pi\) | ||
0.919856 | − | 0.392256i | \(-0.128305\pi\) | |||||||
\(830\) | 0.770767 | + | 2.13117i | 0.0267537 | + | 0.0739740i | ||||
\(831\) | 1.30611 | + | 0.220549i | 0.0453086 | + | 0.00765077i | ||||
\(832\) | −3.74423 | −0.129808 | ||||||||
\(833\) | − | 108.140i | − | 3.74682i | ||||||
\(834\) | −3.74576 | + | 22.1828i | −0.129705 | + | 0.768127i | ||||
\(835\) | 1.32661 | + | 3.66807i | 0.0459091 | + | 0.126939i | ||||
\(836\) | 10.6447 | 0.368154 | ||||||||
\(837\) | 16.0870 | + | 24.0460i | 0.556046 | + | 0.831151i | ||||
\(838\) | − | 14.8158i | − | 0.511802i | ||||||
\(839\) | − | 47.8538i | − | 1.65210i | −0.563600 | − | 0.826048i | \(-0.690584\pi\) | ||
0.563600 | − | 0.826048i | \(-0.309416\pi\) | |||||||
\(840\) | 3.20598 | + | 17.6436i | 0.110617 | + | 0.608762i | ||||
\(841\) | 9.33184 | 0.321788 | ||||||||
\(842\) | −6.36850 | −0.219473 | ||||||||
\(843\) | −5.77155 | + | 34.1797i | −0.198783 | + | 1.17721i | ||||
\(844\) | 12.5032 | 0.430378 | ||||||||
\(845\) | 2.14327 | − | 0.775142i | 0.0737307 | − | 0.0266657i | ||||
\(846\) | 17.9632 | + | 6.24455i | 0.617587 | + | 0.214692i | ||||
\(847\) | − | 34.7286i | − | 1.19329i | ||||||
\(848\) | − | 2.24609i | − | 0.0771312i | ||||||
\(849\) | −4.67978 | + | 27.7141i | −0.160610 | + | 0.951146i | ||||
\(850\) | −23.9546 | − | 28.7854i | −0.821634 | − | 0.987332i | ||||
\(851\) | 13.4734i | 0.461861i | ||||||||
\(852\) | 4.29400 | − | 25.4295i | 0.147110 | − | 0.871199i | ||||
\(853\) | − | 24.3315i | − | 0.833095i | −0.909114 | − | 0.416548i | \(-0.863240\pi\) | ||
0.909114 | − | 0.416548i | \(-0.136760\pi\) | |||||||
\(854\) | 34.6005 | 1.18400 | ||||||||
\(855\) | −38.1684 | + | 0.475812i | −1.30533 | + | 0.0162724i | ||||
\(856\) | 3.57584 | 0.122220 | ||||||||
\(857\) | −37.7357 | −1.28903 | −0.644514 | − | 0.764592i | \(-0.722940\pi\) | ||||
−0.644514 | + | 0.764592i | \(0.722940\pi\) | |||||||
\(858\) | 11.9624 | + | 2.01996i | 0.408390 | + | 0.0689604i | ||||
\(859\) | 51.9973i | 1.77413i | 0.461649 | + | 0.887063i | \(0.347258\pi\) | ||||
−0.461649 | + | 0.887063i | \(0.652742\pi\) | |||||||
\(860\) | −11.3428 | + | 4.10230i | −0.386788 | + | 0.139887i | ||||
\(861\) | −29.8660 | − | 5.04314i | −1.01783 | − | 0.171870i | ||||
\(862\) | − | 3.42192i | − | 0.116551i | ||||||
\(863\) | − | 6.11060i | − | 0.208007i | −0.994577 | − | 0.104004i | \(-0.966835\pi\) | ||
0.994577 | − | 0.104004i | \(-0.0331654\pi\) | |||||||
\(864\) | 4.55545 | + | 2.49957i | 0.154980 | + | 0.0850371i | ||||
\(865\) | 9.86205 | − | 3.56675i | 0.335320 | − | 0.121273i | ||||
\(866\) | −9.25300 | −0.314430 | ||||||||
\(867\) | 66.7724 | + | 11.2751i | 2.26771 | + | 0.382924i | ||||
\(868\) | 11.8892 | − | 22.8743i | 0.403546 | − | 0.776405i | ||||
\(869\) | − | 19.8971i | − | 0.674962i | ||||||
\(870\) | 23.5924 | − | 4.28692i | 0.799856 | − | 0.145340i | ||||
\(871\) | 30.6637i | 1.03900i | ||||||||
\(872\) | −0.722467 | −0.0244658 | ||||||||
\(873\) | −1.84592 | + | 5.31001i | −0.0624750 | + | 0.179717i | ||||
\(874\) | − | 40.3613i | − | 1.36524i | ||||||
\(875\) | 44.6721 | + | 26.1570i | 1.51019 | + | 0.884267i | ||||
\(876\) | 19.7866 | + | 3.34114i | 0.668527 | + | 0.112887i | ||||
\(877\) | − | 45.1985i | − | 1.52624i | −0.646254 | − | 0.763122i | \(-0.723665\pi\) | ||
0.646254 | − | 0.763122i | \(-0.276335\pi\) | |||||||
\(878\) | 1.50233 | 0.0507013 | ||||||||
\(879\) | 19.0454 | + | 3.21599i | 0.642385 | + | 0.108473i | ||||
\(880\) | −3.93363 | + | 1.42265i | −0.132602 | + | 0.0479575i | ||||
\(881\) | −21.6660 | −0.729945 | −0.364973 | − | 0.931018i | \(-0.618922\pi\) | ||||
−0.364973 | + | 0.931018i | \(0.618922\pi\) | |||||||
\(882\) | 40.9133 | + | 14.2227i | 1.37762 | + | 0.478903i | ||||
\(883\) | 5.80117 | 0.195225 | 0.0976125 | − | 0.995224i | \(-0.468879\pi\) | ||||
0.0976125 | + | 0.995224i | \(0.468879\pi\) | |||||||
\(884\) | − | 28.0435i | − | 0.943204i | ||||||
\(885\) | 3.17125 | + | 17.4525i | 0.106601 | + | 0.586659i | ||||
\(886\) | −16.4755 | −0.553504 | ||||||||
\(887\) | 9.42333 | 0.316404 | 0.158202 | − | 0.987407i | \(-0.449430\pi\) | ||||
0.158202 | + | 0.987407i | \(0.449430\pi\) | |||||||
\(888\) | −3.24413 | − | 0.547801i | −0.108866 | − | 0.0183830i | ||||
\(889\) | 68.9594i | 2.31282i | ||||||||
\(890\) | 25.0003 | − | 9.04168i | 0.838010 | − | 0.303078i | ||||
\(891\) | −13.2057 | − | 10.4435i | −0.442408 | − | 0.349869i | ||||
\(892\) | 10.7677 | 0.360528 | ||||||||
\(893\) | 36.0718 | 1.20710 | ||||||||
\(894\) | −0.218438 | + | 1.29361i | −0.00730565 | + | 0.0432648i | ||||
\(895\) | 29.4125 | − | 10.6375i | 0.983153 | − | 0.355571i | ||||
\(896\) | − | 4.63015i | − | 0.154682i | ||||||
\(897\) | 7.65906 | − | 45.3577i | 0.255729 | − | 1.51445i | ||||
\(898\) | 36.9554 | 1.23322 | ||||||||
\(899\) | −30.5867 | − | 15.8978i | −1.02012 | − | 0.530221i | ||||
\(900\) | 14.0411 | − | 5.27700i | 0.468038 | − | 0.175900i | ||||
\(901\) | 16.8228 | 0.560447 | ||||||||
\(902\) | − | 7.06524i | − | 0.235247i | ||||||
\(903\) | −7.20286 | + | 42.6561i | −0.239696 | + | 1.41951i | ||||
\(904\) | −5.66365 | −0.188370 | ||||||||
\(905\) | −7.71316 | − | 21.3269i | −0.256394 | − | 0.708930i | ||||
\(906\) | −2.40336 | + | 14.2329i | −0.0798463 | + | 0.472858i | ||||
\(907\) | 9.16441i | 0.304299i | 0.988357 | + | 0.152150i | \(0.0486195\pi\) | ||||
−0.988357 | + | 0.152150i | \(0.951380\pi\) | |||||||
\(908\) | −18.5144 | −0.614424 | ||||||||
\(909\) | 0.0672890 | − | 0.193565i | 0.00223184 | − | 0.00642015i | ||||
\(910\) | 13.1842 | + | 36.4544i | 0.437053 | + | 1.20845i | ||||
\(911\) | −29.4678 | −0.976311 | −0.488155 | − | 0.872757i | \(-0.662330\pi\) | ||||
−0.488155 | + | 0.872757i | \(0.662330\pi\) | |||||||
\(912\) | 9.71824 | + | 1.64101i | 0.321803 | + | 0.0543394i | ||||
\(913\) | 1.89595i | 0.0627469i | ||||||||
\(914\) | −10.2884 | −0.340311 | ||||||||
\(915\) | −5.17431 | − | 28.4760i | −0.171057 | − | 0.941387i | ||||
\(916\) | − | 13.3537i | − | 0.441218i | ||||||
\(917\) | 9.73388 | 0.321441 | ||||||||
\(918\) | −18.7212 | + | 34.1194i | −0.617893 | + | 1.12611i | ||||
\(919\) | −20.2080 | −0.666601 | −0.333301 | − | 0.942821i | \(-0.608162\pi\) | ||||
−0.333301 | + | 0.942821i | \(0.608162\pi\) | |||||||
\(920\) | 5.39424 | + | 14.9151i | 0.177843 | + | 0.491735i | ||||
\(921\) | −2.41255 | + | 14.2874i | −0.0794963 | + | 0.470785i | ||||
\(922\) | 2.30344 | 0.0758597 | ||||||||
\(923\) | − | 55.7499i | − | 1.83503i | ||||||
\(924\) | −2.49791 | + | 14.7929i | −0.0821751 | + | 0.486649i | ||||
\(925\) | −7.30040 | + | 6.07522i | −0.240036 | + | 0.199752i | ||||
\(926\) | 25.3450 | 0.832888 | ||||||||
\(927\) | 4.23392 | − | 12.1794i | 0.139060 | − | 0.400023i | ||||
\(928\) | −6.19127 | −0.203238 | ||||||||
\(929\) | 37.6365 | 1.23481 | 0.617407 | − | 0.786644i | \(-0.288183\pi\) | ||||
0.617407 | + | 0.786644i | \(0.288183\pi\) | |||||||
\(930\) | −20.6034 | − | 6.36401i | −0.675612 | − | 0.208684i | ||||
\(931\) | 82.1576 | 2.69261 | ||||||||
\(932\) | −15.4812 | −0.507102 | ||||||||
\(933\) | 0.190382 | − | 1.12746i | 0.00623282 | − | 0.0369114i | ||||
\(934\) | −17.8054 | −0.582611 | ||||||||
\(935\) | −10.6553 | − | 29.4620i | −0.348467 | − | 0.963510i | ||||
\(936\) | 10.6099 | + | 3.68832i | 0.346795 | + | 0.120556i | ||||
\(937\) | 5.14759i | 0.168164i | 0.996459 | + | 0.0840822i | \(0.0267958\pi\) | ||||
−0.996459 | + | 0.0840822i | \(0.973204\pi\) | |||||||
\(938\) | −37.9190 | −1.23810 | ||||||||
\(939\) | 31.9782 | + | 5.39981i | 1.04357 | + | 0.176216i | ||||
\(940\) | −13.3299 | + | 4.82095i | −0.434774 | + | 0.157242i | ||||
\(941\) | −34.0980 | −1.11156 | −0.555782 | − | 0.831328i | \(-0.687581\pi\) | ||||
−0.555782 | + | 0.831328i | \(0.687581\pi\) | |||||||
\(942\) | −4.24221 | + | 25.1228i | −0.138219 | + | 0.818545i | ||||
\(943\) | −26.7892 | −0.872375 | ||||||||
\(944\) | − | 4.58001i | − | 0.149066i | ||||||
\(945\) | 8.29546 | − | 53.1541i | 0.269851 | − | 1.72910i | ||||
\(946\) | −10.0909 | −0.328084 | ||||||||
\(947\) | − | 51.3009i | − | 1.66705i | −0.552479 | − | 0.833527i | \(-0.686318\pi\) | ||
0.552479 | − | 0.833527i | \(-0.313682\pi\) | |||||||
\(948\) | 3.06738 | − | 18.1653i | 0.0996240 | − | 0.589983i | ||||
\(949\) | 43.3788 | 1.40814 | ||||||||
\(950\) | 21.8693 | − | 18.1991i | 0.709534 | − | 0.590458i | ||||
\(951\) | 23.8285 | + | 4.02366i | 0.772692 | + | 0.130476i | ||||
\(952\) | 34.6788 | 1.12395 | ||||||||
\(953\) | − | 43.1734i | − | 1.39852i | −0.714866 | − | 0.699261i | \(-0.753513\pi\) | ||
0.714866 | − | 0.699261i | \(-0.246487\pi\) | |||||||
\(954\) | −2.21255 | + | 6.36467i | −0.0716341 | + | 0.206064i | ||||
\(955\) | −14.4800 | − | 40.0371i | −0.468561 | − | 1.29557i | ||||
\(956\) | 0.761904 | 0.0246417 | ||||||||
\(957\) | 19.7805 | + | 3.34011i | 0.639412 | + | 0.107970i | ||||
\(958\) | − | 2.01777i | − | 0.0651912i | ||||||
\(959\) | −44.1500 | −1.42568 | ||||||||
\(960\) | −3.81059 | + | 0.692413i | −0.122986 | + | 0.0223475i | ||||
\(961\) | 17.8130 | + | 25.3712i | 0.574614 | + | 0.818424i | ||||
\(962\) | −7.11223 | −0.229307 | ||||||||
\(963\) | −10.1327 | − | 3.52245i | −0.326523 | − | 0.113509i | ||||
\(964\) | 18.2543i | 0.587932i | ||||||||
\(965\) | 6.80038 | + | 18.8030i | 0.218912 | + | 0.605291i | ||||
\(966\) | 56.0898 | + | 9.47127i | 1.80466 | + | 0.304733i | ||||
\(967\) | 0.964929 | 0.0310300 | 0.0155150 | − | 0.999880i | \(-0.495061\pi\) | ||||
0.0155150 | + | 0.999880i | \(0.495061\pi\) | |||||||
\(968\) | 7.50053 | 0.241076 | ||||||||
\(969\) | −12.2908 | + | 72.7875i | −0.394838 | + | 2.33827i | ||||
\(970\) | −1.42510 | − | 3.94039i | −0.0457571 | − | 0.126518i | ||||
\(971\) | 15.5198i | 0.498054i | 0.968496 | + | 0.249027i | \(0.0801109\pi\) | ||||
−0.968496 | + | 0.249027i | \(0.919889\pi\) | |||||||
\(972\) | −10.4464 | − | 11.5704i | −0.335068 | − | 0.371120i | ||||
\(973\) | −60.1389 | −1.92796 | ||||||||
\(974\) | 3.07265 | 0.0984540 | ||||||||
\(975\) | 28.0301 | − | 16.3021i | 0.897682 | − | 0.522084i | ||||
\(976\) | 7.47286i | 0.239201i | ||||||||
\(977\) | −22.2030 | −0.710336 | −0.355168 | − | 0.934803i | \(-0.615576\pi\) | ||||
−0.355168 | + | 0.934803i | \(0.615576\pi\) | |||||||
\(978\) | −6.67350 | + | 39.5212i | −0.213395 | + | 1.26375i | ||||
\(979\) | 22.2410 | 0.710824 | ||||||||
\(980\) | −30.3604 | + | 10.9803i | −0.969828 | + | 0.350752i | ||||
\(981\) | 2.04723 | + | 0.711678i | 0.0653629 | + | 0.0227221i | ||||
\(982\) | 29.3658 | 0.937101 | ||||||||
\(983\) | − | 58.4300i | − | 1.86363i | −0.362935 | − | 0.931814i | \(-0.618225\pi\) | ||
0.362935 | − | 0.931814i | \(-0.381775\pi\) | |||||||
\(984\) | 1.08920 | − | 6.45033i | 0.0347223 | − | 0.205629i | ||||
\(985\) | −17.5200 | − | 48.4427i | −0.558233 | − | 1.54351i | ||||
\(986\) | − | 46.3713i | − | 1.47676i | ||||||
\(987\) | −8.46468 | + | 50.1287i | −0.269434 | + | 1.59561i | ||||
\(988\) | 21.3056 | 0.677822 | ||||||||
\(989\) | 38.2616i | 1.21665i | ||||||||
\(990\) | 12.5480 | − | 0.156424i | 0.398801 | − | 0.00497150i | ||||
\(991\) | 16.9793i | 0.539366i | 0.962949 | + | 0.269683i | \(0.0869189\pi\) | ||||
−0.962949 | + | 0.269683i | \(0.913081\pi\) | |||||||
\(992\) | 4.94030 | + | 2.56778i | 0.156855 | + | 0.0815270i | ||||
\(993\) | 1.84273 | − | 10.9128i | 0.0584772 | − | 0.346308i | ||||
\(994\) | 68.9409 | 2.18667 | ||||||||
\(995\) | 19.8079 | + | 54.7689i | 0.627953 | + | 1.73629i | ||||
\(996\) | −0.292285 | + | 1.73094i | −0.00926140 | + | 0.0548469i | ||||
\(997\) | 29.9879i | 0.949727i | 0.880059 | + | 0.474864i | \(0.157503\pi\) | ||||
−0.880059 | + | 0.474864i | \(0.842497\pi\) | |||||||
\(998\) | − | 5.25604i | − | 0.166377i | ||||||
\(999\) | 8.65316 | + | 4.74797i | 0.273774 | + | 0.150219i |
(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 | 930.2.e.a.929.1 | ✓ | 32 | |
3.2 | odd | 2 | 930.2.e.b.929.2 | yes | 32 | ||
5.4 | even | 2 | 930.2.e.b.929.32 | yes | 32 | ||
15.14 | odd | 2 | inner | 930.2.e.a.929.31 | yes | 32 | |
31.30 | odd | 2 | inner | 930.2.e.a.929.32 | yes | 32 | |
93.92 | even | 2 | 930.2.e.b.929.31 | yes | 32 | ||
155.154 | odd | 2 | 930.2.e.b.929.1 | yes | 32 | ||
465.464 | even | 2 | inner | 930.2.e.a.929.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.e.a.929.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
930.2.e.a.929.2 | yes | 32 | 465.464 | even | 2 | inner | |
930.2.e.a.929.31 | yes | 32 | 15.14 | odd | 2 | inner | |
930.2.e.a.929.32 | yes | 32 | 31.30 | odd | 2 | inner | |
930.2.e.b.929.1 | yes | 32 | 155.154 | odd | 2 | ||
930.2.e.b.929.2 | yes | 32 | 3.2 | odd | 2 | ||
930.2.e.b.929.31 | yes | 32 | 93.92 | even | 2 | ||
930.2.e.b.929.32 | yes | 32 | 5.4 | even | 2 |