Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [133,2,Mod(30,133)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(133, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("133.30");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 133 = 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 133.g (of order \(3\), degree \(2\), 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: | \(1.06201034688\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 102.9 | ||
Character | \(\chi\) | \(=\) | 133.102 |
Dual form | 133.2.g.a.30.9 |
$q$-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 \(\left(\mathbb{Z}/133\mathbb{Z}\right)^\times\).
\(n\) | \(78\) | \(115\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.594925 | − | 1.03044i | 0.420675 | − | 0.728631i | −0.575330 | − | 0.817921i | \(-0.695126\pi\) |
0.996006 | + | 0.0892901i | \(0.0284598\pi\) | |||||||
\(3\) | 0.177362 | 0.102400 | 0.0511999 | − | 0.998688i | \(-0.483695\pi\) | ||||
0.0511999 | + | 0.998688i | \(0.483695\pi\) | |||||||
\(4\) | 0.292129 | + | 0.505982i | 0.146064 | + | 0.252991i | ||||
\(5\) | −0.0570924 | + | 0.0988869i | −0.0255325 | + | 0.0442236i | −0.878509 | − | 0.477725i | \(-0.841461\pi\) |
0.852977 | + | 0.521949i | \(0.174795\pi\) | |||||||
\(6\) | 0.105517 | − | 0.182761i | 0.0430771 | − | 0.0746117i | ||||
\(7\) | 1.73984 | − | 1.99323i | 0.657596 | − | 0.753370i | ||||
\(8\) | 3.07488 | 1.08713 | ||||||||
\(9\) | −2.96854 | −0.989514 | ||||||||
\(10\) | 0.0679313 | + | 0.117661i | 0.0214818 | + | 0.0372075i | ||||
\(11\) | 0.429633 | − | 0.744146i | 0.129539 | − | 0.224369i | −0.793959 | − | 0.607971i | \(-0.791984\pi\) |
0.923498 | + | 0.383603i | \(0.125317\pi\) | |||||||
\(12\) | 0.0518125 | + | 0.0897419i | 0.0149570 | + | 0.0259063i | ||||
\(13\) | −1.47479 | + | 2.55441i | −0.409032 | + | 0.708465i | −0.994782 | − | 0.102028i | \(-0.967467\pi\) |
0.585749 | + | 0.810492i | \(0.300800\pi\) | |||||||
\(14\) | −1.01883 | − | 2.97862i | −0.272295 | − | 0.796070i | ||||
\(15\) | −0.0101260 | + | 0.0175388i | −0.00261452 | + | 0.00452849i | ||||
\(16\) | 1.24506 | − | 2.15651i | 0.311266 | − | 0.539128i | ||||
\(17\) | −3.62977 | −0.880348 | −0.440174 | − | 0.897913i | \(-0.645083\pi\) | ||||
−0.440174 | + | 0.897913i | \(0.645083\pi\) | |||||||
\(18\) | −1.76606 | + | 3.05891i | −0.416264 | + | 0.720991i | ||||
\(19\) | −4.18378 | + | 1.22309i | −0.959826 | + | 0.280597i | ||||
\(20\) | −0.0667134 | −0.0149176 | ||||||||
\(21\) | 0.308580 | − | 0.353523i | 0.0673378 | − | 0.0771450i | ||||
\(22\) | −0.511199 | − | 0.885422i | −0.108988 | − | 0.188773i | ||||
\(23\) | −0.959049 | −0.199976 | −0.0999878 | − | 0.994989i | \(-0.531880\pi\) | ||||
−0.0999878 | + | 0.994989i | \(0.531880\pi\) | |||||||
\(24\) | 0.545366 | 0.111322 | ||||||||
\(25\) | 2.49348 | + | 4.31884i | 0.498696 | + | 0.863767i | ||||
\(26\) | 1.75477 | + | 3.03936i | 0.344140 | + | 0.596067i | ||||
\(27\) | −1.05859 | −0.203726 | ||||||||
\(28\) | 1.51680 | + | 0.298046i | 0.286648 | + | 0.0563254i | ||||
\(29\) | 3.06939 | − | 5.31634i | 0.569971 | − | 0.987219i | −0.426597 | − | 0.904442i | \(-0.640288\pi\) |
0.996568 | − | 0.0827769i | \(-0.0263789\pi\) | |||||||
\(30\) | 0.0120484 | + | 0.0208685i | 0.00219973 | + | 0.00381005i | ||||
\(31\) | −2.81101 | + | 4.86882i | −0.504873 | + | 0.874466i | 0.495111 | + | 0.868830i | \(0.335127\pi\) |
−0.999984 | + | 0.00563600i | \(0.998206\pi\) | |||||||
\(32\) | 1.59344 | + | 2.75992i | 0.281683 | + | 0.487889i | ||||
\(33\) | 0.0762005 | − | 0.131983i | 0.0132648 | − | 0.0229753i | ||||
\(34\) | −2.15944 | + | 3.74026i | −0.370341 | + | 0.641449i | ||||
\(35\) | 0.0977730 | + | 0.285845i | 0.0165267 | + | 0.0483167i | ||||
\(36\) | −0.867197 | − | 1.50203i | −0.144533 | − | 0.250338i | ||||
\(37\) | −0.886769 | − | 1.53593i | −0.145784 | − | 0.252505i | 0.783881 | − | 0.620911i | \(-0.213237\pi\) |
−0.929665 | + | 0.368406i | \(0.879904\pi\) | |||||||
\(38\) | −1.22871 | + | 5.03879i | −0.199323 | + | 0.817399i | ||||
\(39\) | −0.261571 | + | 0.453054i | −0.0418849 | + | 0.0725467i | ||||
\(40\) | −0.175552 | + | 0.304065i | −0.0277572 | + | 0.0480769i | ||||
\(41\) | −5.49373 | − | 9.51542i | −0.857976 | − | 1.48606i | −0.873856 | − | 0.486185i | \(-0.838388\pi\) |
0.0158798 | − | 0.999874i | \(-0.494945\pi\) | |||||||
\(42\) | −0.180702 | − | 0.528293i | −0.0278829 | − | 0.0815174i | ||||
\(43\) | 5.56640 | + | 9.64129i | 0.848869 | + | 1.47028i | 0.882219 | + | 0.470840i | \(0.156049\pi\) |
−0.0333502 | + | 0.999444i | \(0.510618\pi\) | |||||||
\(44\) | 0.502033 | 0.0756843 | ||||||||
\(45\) | 0.169481 | − | 0.293550i | 0.0252648 | − | 0.0437598i | ||||
\(46\) | −0.570562 | + | 0.988243i | −0.0841248 | + | 0.145708i | ||||
\(47\) | 1.01342 | 0.147823 | 0.0739113 | − | 0.997265i | \(-0.476452\pi\) | ||||
0.0739113 | + | 0.997265i | \(0.476452\pi\) | |||||||
\(48\) | 0.220827 | − | 0.382483i | 0.0318736 | − | 0.0552067i | ||||
\(49\) | −0.945939 | − | 6.93579i | −0.135134 | − | 0.990827i | ||||
\(50\) | 5.93373 | 0.839157 | ||||||||
\(51\) | −0.643782 | −0.0901475 | ||||||||
\(52\) | −1.72331 | −0.238980 | ||||||||
\(53\) | −3.98798 | − | 6.90739i | −0.547792 | − | 0.948803i | −0.998425 | − | 0.0560939i | \(-0.982135\pi\) |
0.450634 | − | 0.892709i | \(-0.351198\pi\) | |||||||
\(54\) | −0.629782 | + | 1.09081i | −0.0857025 | + | 0.148441i | ||||
\(55\) | 0.0490575 | + | 0.0849702i | 0.00661492 | + | 0.0114574i | ||||
\(56\) | 5.34978 | − | 6.12894i | 0.714895 | − | 0.819014i | ||||
\(57\) | −0.742043 | + | 0.216930i | −0.0982860 | + | 0.0287331i | ||||
\(58\) | −3.65211 | − | 6.32564i | −0.479545 | − | 0.830597i | ||||
\(59\) | 1.28223 | 0.166933 | 0.0834664 | − | 0.996511i | \(-0.473401\pi\) | ||||
0.0834664 | + | 0.996511i | \(0.473401\pi\) | |||||||
\(60\) | −0.0118324 | −0.00152756 | ||||||||
\(61\) | 9.50799 | 1.21737 | 0.608686 | − | 0.793411i | \(-0.291697\pi\) | ||||
0.608686 | + | 0.793411i | \(0.291697\pi\) | |||||||
\(62\) | 3.34468 | + | 5.79316i | 0.424775 | + | 0.735732i | ||||
\(63\) | −5.16478 | + | 5.91699i | −0.650701 | + | 0.745471i | ||||
\(64\) | 8.77216 | 1.09652 | ||||||||
\(65\) | −0.168398 | − | 0.291674i | −0.0208872 | − | 0.0361777i | ||||
\(66\) | −0.0906671 | − | 0.157040i | −0.0111604 | − | 0.0193303i | ||||
\(67\) | −3.74950 | − | 6.49432i | −0.458074 | − | 0.793408i | 0.540785 | − | 0.841161i | \(-0.318127\pi\) |
−0.998859 | + | 0.0477533i | \(0.984794\pi\) | |||||||
\(68\) | −1.06036 | − | 1.83660i | −0.128588 | − | 0.222720i | ||||
\(69\) | −0.170099 | −0.0204775 | ||||||||
\(70\) | 0.352714 | + | 0.0693072i | 0.0421574 | + | 0.00828380i | ||||
\(71\) | −1.01008 | − | 1.74951i | −0.119874 | − | 0.207629i | 0.799843 | − | 0.600209i | \(-0.204916\pi\) |
−0.919718 | + | 0.392580i | \(0.871583\pi\) | |||||||
\(72\) | −9.12791 | −1.07573 | ||||||||
\(73\) | −1.88689 | −0.220844 | −0.110422 | − | 0.993885i | \(-0.535220\pi\) | ||||
−0.110422 | + | 0.993885i | \(0.535220\pi\) | |||||||
\(74\) | −2.11024 | −0.245311 | ||||||||
\(75\) | 0.442248 | + | 0.765996i | 0.0510664 | + | 0.0884496i | ||||
\(76\) | −1.84107 | − | 1.75962i | −0.211185 | − | 0.201842i | ||||
\(77\) | −0.735764 | − | 2.15105i | −0.0838481 | − | 0.245135i | ||||
\(78\) | 0.311230 | + | 0.539066i | 0.0352398 | + | 0.0610372i | ||||
\(79\) | 2.06547 | − | 3.57749i | 0.232383 | − | 0.402499i | −0.726126 | − | 0.687562i | \(-0.758681\pi\) |
0.958509 | + | 0.285062i | \(0.0920144\pi\) | |||||||
\(80\) | 0.142167 | + | 0.246241i | 0.0158948 | + | 0.0275306i | ||||
\(81\) | 8.71787 | 0.968653 | ||||||||
\(82\) | −13.0734 | −1.44372 | ||||||||
\(83\) | 14.0092 | 1.53771 | 0.768855 | − | 0.639423i | \(-0.220827\pi\) | ||||
0.768855 | + | 0.639423i | \(0.220827\pi\) | |||||||
\(84\) | 0.269022 | + | 0.0528619i | 0.0293527 | + | 0.00576771i | ||||
\(85\) | 0.207232 | − | 0.358936i | 0.0224775 | − | 0.0389321i | ||||
\(86\) | 13.2464 | 1.42839 | ||||||||
\(87\) | 0.544392 | − | 0.942915i | 0.0583650 | − | 0.101091i | ||||
\(88\) | 1.32107 | − | 2.28816i | 0.140826 | − | 0.243919i | ||||
\(89\) | 10.2607 | 1.08763 | 0.543817 | − | 0.839204i | \(-0.316979\pi\) | ||||
0.543817 | + | 0.839204i | \(0.316979\pi\) | |||||||
\(90\) | −0.201657 | − | 0.349280i | −0.0212565 | − | 0.0368174i | ||||
\(91\) | 2.52563 | + | 7.38384i | 0.264758 | + | 0.774037i | ||||
\(92\) | −0.280166 | − | 0.485262i | −0.0292093 | − | 0.0505920i | ||||
\(93\) | −0.498566 | + | 0.863542i | −0.0516989 | + | 0.0895452i | ||||
\(94\) | 0.602909 | − | 1.04427i | 0.0621853 | − | 0.107708i | ||||
\(95\) | 0.117914 | − | 0.483551i | 0.0120977 | − | 0.0496112i | ||||
\(96\) | 0.282615 | + | 0.489504i | 0.0288443 | + | 0.0499598i | ||||
\(97\) | −5.41182 | − | 9.37356i | −0.549488 | − | 0.951740i | −0.998310 | − | 0.0581193i | \(-0.981490\pi\) |
0.448822 | − | 0.893621i | \(-0.351844\pi\) | |||||||
\(98\) | −7.70968 | − | 3.15154i | −0.778795 | − | 0.318354i | ||||
\(99\) | −1.27538 | + | 2.20903i | −0.128181 | + | 0.222016i | ||||
\(100\) | −1.45684 | + | 2.52331i | −0.145684 | + | 0.252331i | ||||
\(101\) | 5.64751 | + | 9.78177i | 0.561948 | + | 0.973323i | 0.997326 | + | 0.0730752i | \(0.0232813\pi\) |
−0.435378 | + | 0.900248i | \(0.643385\pi\) | |||||||
\(102\) | −0.383002 | + | 0.663378i | −0.0379228 | + | 0.0656843i | ||||
\(103\) | 5.86343 | + | 10.1558i | 0.577741 | + | 1.00068i | 0.995738 | + | 0.0922282i | \(0.0293989\pi\) |
−0.417997 | + | 0.908448i | \(0.637268\pi\) | |||||||
\(104\) | −4.53479 | + | 7.85449i | −0.444673 | + | 0.770196i | ||||
\(105\) | 0.0173412 | + | 0.0506980i | 0.00169233 | + | 0.00494762i | ||||
\(106\) | −9.49020 | −0.921770 | ||||||||
\(107\) | 2.79121 | + | 4.83452i | 0.269837 | + | 0.467371i | 0.968820 | − | 0.247768i | \(-0.0796969\pi\) |
−0.698983 | + | 0.715139i | \(0.746364\pi\) | |||||||
\(108\) | −0.309245 | − | 0.535628i | −0.0297571 | − | 0.0515409i | ||||
\(109\) | −8.68473 | −0.831846 | −0.415923 | − | 0.909400i | \(-0.636541\pi\) | ||||
−0.415923 | + | 0.909400i | \(0.636541\pi\) | |||||||
\(110\) | 0.116742 | 0.0111309 | ||||||||
\(111\) | −0.157279 | − | 0.272415i | −0.0149282 | − | 0.0258565i | ||||
\(112\) | −2.13222 | − | 6.23368i | −0.201476 | − | 0.589027i | ||||
\(113\) | −13.3461 | −1.25550 | −0.627749 | − | 0.778415i | \(-0.716024\pi\) | ||||
−0.627749 | + | 0.778415i | \(0.716024\pi\) | |||||||
\(114\) | −0.217926 | + | 0.893688i | −0.0204107 | + | 0.0837016i | ||||
\(115\) | 0.0547544 | − | 0.0948374i | 0.00510587 | − | 0.00884363i | ||||
\(116\) | 3.58663 | 0.333010 | ||||||||
\(117\) | 4.37797 | − | 7.58286i | 0.404743 | − | 0.701036i | ||||
\(118\) | 0.762833 | − | 1.32127i | 0.0702245 | − | 0.121632i | ||||
\(119\) | −6.31520 | + | 7.23496i | −0.578913 | + | 0.663228i | ||||
\(120\) | −0.0311362 | + | 0.0539295i | −0.00284234 | + | 0.00492307i | ||||
\(121\) | 5.13083 | + | 8.88686i | 0.466439 | + | 0.807896i | ||||
\(122\) | 5.65654 | − | 9.79741i | 0.512119 | − | 0.887016i | ||||
\(123\) | −0.974378 | − | 1.68767i | −0.0878567 | − | 0.152172i | ||||
\(124\) | −3.28471 | −0.294976 | ||||||||
\(125\) | −1.14036 | −0.101997 | ||||||||
\(126\) | 3.02445 | + | 8.84216i | 0.269439 | + | 0.787722i | ||||
\(127\) | −5.72401 | + | 9.91428i | −0.507924 | + | 0.879750i | 0.492034 | + | 0.870576i | \(0.336254\pi\) |
−0.999958 | + | 0.00917386i | \(0.997080\pi\) | |||||||
\(128\) | 2.03190 | − | 3.51935i | 0.179596 | − | 0.311069i | ||||
\(129\) | 0.987267 | + | 1.71000i | 0.0869240 | + | 0.150557i | ||||
\(130\) | −0.400737 | −0.0351470 | ||||||||
\(131\) | 3.67384 | − | 6.36328i | 0.320985 | − | 0.555962i | −0.659706 | − | 0.751523i | \(-0.729319\pi\) |
0.980692 | + | 0.195561i | \(0.0626527\pi\) | |||||||
\(132\) | 0.0890415 | 0.00775007 | ||||||||
\(133\) | −4.84119 | + | 10.4672i | −0.419784 | + | 0.907624i | ||||
\(134\) | −8.92268 | −0.770802 | ||||||||
\(135\) | 0.0604375 | − | 0.104681i | 0.00520163 | − | 0.00900949i | ||||
\(136\) | −11.1611 | −0.957055 | ||||||||
\(137\) | −5.08162 | − | 8.80163i | −0.434152 | − | 0.751974i | 0.563074 | − | 0.826407i | \(-0.309619\pi\) |
−0.997226 | + | 0.0744330i | \(0.976285\pi\) | |||||||
\(138\) | −0.101196 | + | 0.175276i | −0.00861437 | + | 0.0149205i | ||||
\(139\) | 3.37357 | − | 5.84319i | 0.286142 | − | 0.495613i | −0.686743 | − | 0.726900i | \(-0.740960\pi\) |
0.972886 | + | 0.231287i | \(0.0742937\pi\) | |||||||
\(140\) | −0.116070 | + | 0.132975i | −0.00980973 | + | 0.0112384i | ||||
\(141\) | 0.179742 | 0.0151370 | ||||||||
\(142\) | −2.40369 | −0.201713 | ||||||||
\(143\) | 1.26723 | + | 2.19491i | 0.105971 | + | 0.183548i | ||||
\(144\) | −3.69602 | + | 6.40170i | −0.308002 | + | 0.533475i | ||||
\(145\) | 0.350477 | + | 0.607044i | 0.0291055 | + | 0.0504123i | ||||
\(146\) | −1.12256 | + | 1.94433i | −0.0929036 | + | 0.160914i | ||||
\(147\) | −0.167773 | − | 1.23014i | −0.0138377 | − | 0.101461i | ||||
\(148\) | 0.518102 | − | 0.897378i | 0.0425877 | − | 0.0737640i | ||||
\(149\) | −1.17694 | + | 2.03852i | −0.0964186 | + | 0.167002i | −0.910200 | − | 0.414170i | \(-0.864072\pi\) |
0.813781 | + | 0.581171i | \(0.197405\pi\) | |||||||
\(150\) | 1.05242 | 0.0859295 | ||||||||
\(151\) | −2.05996 | + | 3.56796i | −0.167637 | + | 0.290357i | −0.937589 | − | 0.347746i | \(-0.886947\pi\) |
0.769951 | + | 0.638103i | \(0.220280\pi\) | |||||||
\(152\) | −12.8646 | + | 3.76086i | −1.04346 | + | 0.305046i | ||||
\(153\) | 10.7751 | 0.871116 | ||||||||
\(154\) | −2.65425 | − | 0.521553i | −0.213886 | − | 0.0420279i | ||||
\(155\) | −0.320975 | − | 0.555945i | −0.0257813 | − | 0.0446546i | ||||
\(156\) | −0.305650 | −0.0244716 | ||||||||
\(157\) | −4.85746 | −0.387667 | −0.193834 | − | 0.981034i | \(-0.562092\pi\) | ||||
−0.193834 | + | 0.981034i | \(0.562092\pi\) | |||||||
\(158\) | −2.45759 | − | 4.25668i | −0.195516 | − | 0.338643i | ||||
\(159\) | −0.707316 | − | 1.22511i | −0.0560938 | − | 0.0971573i | ||||
\(160\) | −0.363893 | −0.0287683 | ||||||||
\(161\) | −1.66859 | + | 1.91161i | −0.131503 | + | 0.150656i | ||||
\(162\) | 5.18648 | − | 8.98325i | 0.407488 | − | 0.705791i | ||||
\(163\) | −2.90722 | − | 5.03545i | −0.227711 | − | 0.394407i | 0.729418 | − | 0.684068i | \(-0.239791\pi\) |
−0.957129 | + | 0.289661i | \(0.906457\pi\) | |||||||
\(164\) | 3.20976 | − | 5.55946i | 0.250640 | − | 0.434121i | ||||
\(165\) | 0.00870093 | + | 0.0150705i | 0.000677367 | + | 0.00117323i | ||||
\(166\) | 8.33442 | − | 14.4356i | 0.646877 | − | 1.12042i | ||||
\(167\) | −11.8892 | + | 20.5927i | −0.920014 | + | 1.59351i | −0.120625 | + | 0.992698i | \(0.538490\pi\) |
−0.799390 | + | 0.600813i | \(0.794844\pi\) | |||||||
\(168\) | 0.948847 | − | 1.08704i | 0.0732052 | − | 0.0838670i | ||||
\(169\) | 2.15001 | + | 3.72392i | 0.165385 | + | 0.286456i | ||||
\(170\) | −0.246575 | − | 0.427080i | −0.0189114 | − | 0.0327556i | ||||
\(171\) | 12.4197 | − | 3.63081i | 0.949761 | − | 0.277655i | ||||
\(172\) | −3.25222 | + | 5.63300i | −0.247979 | + | 0.429512i | ||||
\(173\) | 0.396238 | − | 0.686304i | 0.0301254 | − | 0.0521787i | −0.850570 | − | 0.525862i | \(-0.823743\pi\) |
0.880695 | + | 0.473684i | \(0.157076\pi\) | |||||||
\(174\) | −0.647745 | − | 1.12193i | −0.0491054 | − | 0.0850530i | ||||
\(175\) | 12.9467 | + | 2.54398i | 0.978677 | + | 0.192307i | ||||
\(176\) | −1.06984 | − | 1.85302i | −0.0806423 | − | 0.139677i | ||||
\(177\) | 0.227419 | 0.0170939 | ||||||||
\(178\) | 6.10435 | − | 10.5731i | 0.457541 | − | 0.792484i | ||||
\(179\) | 5.74256 | − | 9.94641i | 0.429219 | − | 0.743430i | −0.567585 | − | 0.823315i | \(-0.692122\pi\) |
0.996804 | + | 0.0798853i | \(0.0254554\pi\) | |||||||
\(180\) | 0.198041 | 0.0147611 | ||||||||
\(181\) | 10.8465 | − | 18.7867i | 0.806217 | − | 1.39641i | −0.109250 | − | 0.994014i | \(-0.534845\pi\) |
0.915467 | − | 0.402394i | \(-0.131822\pi\) | |||||||
\(182\) | 9.11116 | + | 1.79032i | 0.675364 | + | 0.132707i | ||||
\(183\) | 1.68635 | 0.124659 | ||||||||
\(184\) | −2.94896 | −0.217400 | ||||||||
\(185\) | 0.202511 | 0.0148889 | ||||||||
\(186\) | 0.593219 | + | 1.02749i | 0.0434969 | + | 0.0753389i | ||||
\(187\) | −1.55947 | + | 2.70108i | −0.114040 | + | 0.197522i | ||||
\(188\) | 0.296049 | + | 0.512773i | 0.0215916 | + | 0.0373978i | ||||
\(189\) | −1.84178 | + | 2.11002i | −0.133969 | + | 0.153481i | ||||
\(190\) | −0.428120 | − | 0.409180i | −0.0310591 | − | 0.0296850i | ||||
\(191\) | 9.24598 | + | 16.0145i | 0.669015 | + | 1.15877i | 0.978180 | + | 0.207760i | \(0.0666174\pi\) |
−0.309164 | + | 0.951009i | \(0.600049\pi\) | |||||||
\(192\) | 1.55585 | 0.112284 | ||||||||
\(193\) | 15.6194 | 1.12431 | 0.562156 | − | 0.827031i | \(-0.309972\pi\) | ||||
0.562156 | + | 0.827031i | \(0.309972\pi\) | |||||||
\(194\) | −12.8785 | −0.924624 | ||||||||
\(195\) | −0.0298674 | − | 0.0517318i | −0.00213885 | − | 0.00370459i | ||||
\(196\) | 3.23305 | − | 2.50477i | 0.230932 | − | 0.178912i | ||||
\(197\) | −7.44363 | −0.530336 | −0.265168 | − | 0.964202i | \(-0.585427\pi\) | ||||
−0.265168 | + | 0.964202i | \(0.585427\pi\) | |||||||
\(198\) | 1.51752 | + | 2.62841i | 0.107845 | + | 0.186793i | ||||
\(199\) | −5.59170 | − | 9.68510i | −0.396385 | − | 0.686559i | 0.596892 | − | 0.802322i | \(-0.296402\pi\) |
−0.993277 | + | 0.115763i | \(0.963069\pi\) | |||||||
\(200\) | 7.66715 | + | 13.2799i | 0.542149 | + | 0.939030i | ||||
\(201\) | −0.665018 | − | 1.15184i | −0.0469067 | − | 0.0812448i | ||||
\(202\) | 13.4394 | 0.945591 | ||||||||
\(203\) | −5.25645 | − | 15.3676i | −0.368931 | − | 1.07859i | ||||
\(204\) | −0.188067 | − | 0.325742i | −0.0131673 | − | 0.0228065i | ||||
\(205\) | 1.25460 | 0.0876251 | ||||||||
\(206\) | 13.9532 | 0.972165 | ||||||||
\(207\) | 2.84698 | 0.197879 | ||||||||
\(208\) | 3.67241 | + | 6.36079i | 0.254636 | + | 0.441042i | ||||
\(209\) | −0.887331 | + | 3.63883i | −0.0613780 | + | 0.251703i | ||||
\(210\) | 0.0625580 | + | 0.0122925i | 0.00431691 | + | 0.000848260i | ||||
\(211\) | −0.271262 | − | 0.469839i | −0.0186744 | − | 0.0323451i | 0.856537 | − | 0.516085i | \(-0.172611\pi\) |
−0.875212 | + | 0.483740i | \(0.839278\pi\) | |||||||
\(212\) | 2.33001 | − | 4.03570i | 0.160026 | − | 0.277173i | ||||
\(213\) | −0.179150 | − | 0.310296i | −0.0122751 | − | 0.0212611i | ||||
\(214\) | 6.64225 | 0.454055 | ||||||||
\(215\) | −1.27120 | −0.0866949 | ||||||||
\(216\) | −3.25504 | −0.221477 | ||||||||
\(217\) | 4.81398 | + | 14.0739i | 0.326794 | + | 0.955402i | ||||
\(218\) | −5.16676 | + | 8.94909i | −0.349937 | + | 0.606109i | ||||
\(219\) | −0.334663 | −0.0226144 | ||||||||
\(220\) | −0.0286623 | + | 0.0496445i | −0.00193241 | + | 0.00334703i | ||||
\(221\) | 5.35313 | − | 9.27189i | 0.360091 | − | 0.623695i | ||||
\(222\) | −0.374276 | −0.0251198 | ||||||||
\(223\) | 0.382864 | + | 0.663140i | 0.0256385 | + | 0.0444072i | 0.878560 | − | 0.477632i | \(-0.158505\pi\) |
−0.852921 | + | 0.522039i | \(0.825171\pi\) | |||||||
\(224\) | 8.27348 | + | 1.62571i | 0.552795 | + | 0.108623i | ||||
\(225\) | −7.40200 | − | 12.8206i | −0.493467 | − | 0.854710i | ||||
\(226\) | −7.93995 | + | 13.7524i | −0.528157 | + | 0.914796i | ||||
\(227\) | 5.75298 | − | 9.96445i | 0.381839 | − | 0.661364i | −0.609486 | − | 0.792796i | \(-0.708624\pi\) |
0.991325 | + | 0.131432i | \(0.0419577\pi\) | |||||||
\(228\) | −0.326535 | − | 0.312089i | −0.0216253 | − | 0.0206686i | ||||
\(229\) | −11.3569 | − | 19.6707i | −0.750483 | − | 1.29987i | −0.947589 | − | 0.319492i | \(-0.896488\pi\) |
0.197106 | − | 0.980382i | \(-0.436846\pi\) | |||||||
\(230\) | −0.0651495 | − | 0.112842i | −0.00429583 | − | 0.00744060i | ||||
\(231\) | −0.130496 | − | 0.381514i | −0.00858604 | − | 0.0251018i | ||||
\(232\) | 9.43799 | − | 16.3471i | 0.619635 | − | 1.07324i | ||||
\(233\) | −1.24143 | + | 2.15022i | −0.0813289 | + | 0.140866i | −0.903821 | − | 0.427911i | \(-0.859250\pi\) |
0.822492 | + | 0.568777i | \(0.192583\pi\) | |||||||
\(234\) | −5.20912 | − | 9.02247i | −0.340531 | − | 0.589817i | ||||
\(235\) | −0.0578586 | + | 0.100214i | −0.00377428 | + | 0.00653724i | ||||
\(236\) | 0.374578 | + | 0.648788i | 0.0243829 | + | 0.0422325i | ||||
\(237\) | 0.366335 | − | 0.634510i | 0.0237960 | − | 0.0412159i | ||||
\(238\) | 3.69813 | + | 10.8117i | 0.239714 | + | 0.700818i | ||||
\(239\) | −22.6283 | −1.46371 | −0.731853 | − | 0.681463i | \(-0.761344\pi\) | ||||
−0.731853 | + | 0.681463i | \(0.761344\pi\) | |||||||
\(240\) | 0.0252150 | + | 0.0436737i | 0.00162762 | + | 0.00281913i | ||||
\(241\) | −10.5295 | − | 18.2376i | −0.678262 | − | 1.17478i | −0.975504 | − | 0.219982i | \(-0.929400\pi\) |
0.297242 | − | 0.954802i | \(-0.403933\pi\) | |||||||
\(242\) | 12.2098 | 0.784878 | ||||||||
\(243\) | 4.72199 | 0.302916 | ||||||||
\(244\) | 2.77756 | + | 4.81087i | 0.177815 | + | 0.307985i | ||||
\(245\) | 0.739865 | + | 0.302440i | 0.0472682 | + | 0.0193222i | ||||
\(246\) | −2.31873 | −0.147837 | ||||||||
\(247\) | 3.04591 | − | 12.4909i | 0.193807 | − | 0.794776i | ||||
\(248\) | −8.64353 | + | 14.9710i | −0.548864 | + | 0.950661i | ||||
\(249\) | 2.48470 | 0.157461 | ||||||||
\(250\) | −0.678428 | + | 1.17507i | −0.0429075 | + | 0.0743180i | ||||
\(251\) | −6.00759 | + | 10.4055i | −0.379196 | + | 0.656787i | −0.990945 | − | 0.134265i | \(-0.957133\pi\) |
0.611750 | + | 0.791052i | \(0.290466\pi\) | |||||||
\(252\) | −4.50267 | − | 0.884762i | −0.283642 | − | 0.0557347i | ||||
\(253\) | −0.412039 | + | 0.713673i | −0.0259047 | + | 0.0448682i | ||||
\(254\) | 6.81071 | + | 11.7965i | 0.427342 | + | 0.740178i | ||||
\(255\) | 0.0367550 | − | 0.0636616i | 0.00230169 | − | 0.00398664i | ||||
\(256\) | 6.35451 | + | 11.0063i | 0.397157 | + | 0.687896i | ||||
\(257\) | −25.5551 | −1.59408 | −0.797041 | − | 0.603925i | \(-0.793603\pi\) | ||||
−0.797041 | + | 0.603925i | \(0.793603\pi\) | |||||||
\(258\) | 2.34940 | 0.146267 | ||||||||
\(259\) | −4.60429 | − | 0.904729i | −0.286097 | − | 0.0562171i | ||||
\(260\) | 0.0983880 | − | 0.170413i | 0.00610176 | − | 0.0105686i | ||||
\(261\) | −9.11161 | + | 15.7818i | −0.563994 | + | 0.976867i | ||||
\(262\) | −4.37132 | − | 7.57135i | −0.270061 | − | 0.467759i | ||||
\(263\) | −29.4409 | −1.81540 | −0.907701 | − | 0.419617i | \(-0.862164\pi\) | ||||
−0.907701 | + | 0.419617i | \(0.862164\pi\) | |||||||
\(264\) | 0.234307 | − | 0.405832i | 0.0144206 | − | 0.0249772i | ||||
\(265\) | 0.910734 | 0.0559459 | ||||||||
\(266\) | 7.90571 | + | 11.2158i | 0.484730 | + | 0.687683i | ||||
\(267\) | 1.81986 | 0.111374 | ||||||||
\(268\) | 2.19067 | − | 3.79436i | 0.133817 | − | 0.231777i | ||||
\(269\) | 8.66452 | 0.528285 | 0.264143 | − | 0.964484i | \(-0.414911\pi\) | ||||
0.264143 | + | 0.964484i | \(0.414911\pi\) | |||||||
\(270\) | −0.0719115 | − | 0.124554i | −0.00437640 | − | 0.00758014i | ||||
\(271\) | −4.39911 | + | 7.61949i | −0.267227 | + | 0.462851i | −0.968145 | − | 0.250391i | \(-0.919441\pi\) |
0.700918 | + | 0.713242i | \(0.252774\pi\) | |||||||
\(272\) | −4.51929 | + | 7.82764i | −0.274022 | + | 0.474620i | ||||
\(273\) | 0.447951 | + | 1.30961i | 0.0271112 | + | 0.0792612i | ||||
\(274\) | −12.0927 | −0.730548 | ||||||||
\(275\) | 4.28513 | 0.258403 | ||||||||
\(276\) | −0.0496908 | − | 0.0860669i | −0.00299103 | − | 0.00518062i | ||||
\(277\) | −11.6029 | + | 20.0967i | −0.697148 | + | 1.20750i | 0.272303 | + | 0.962211i | \(0.412215\pi\) |
−0.969451 | + | 0.245284i | \(0.921119\pi\) | |||||||
\(278\) | −4.01404 | − | 6.95252i | −0.240746 | − | 0.416984i | ||||
\(279\) | 8.34461 | − | 14.4533i | 0.499579 | − | 0.865296i | ||||
\(280\) | 0.300640 | + | 0.878939i | 0.0179667 | + | 0.0525267i | ||||
\(281\) | −0.0951519 | + | 0.164808i | −0.00567629 | + | 0.00983162i | −0.868850 | − | 0.495076i | \(-0.835140\pi\) |
0.863173 | + | 0.504908i | \(0.168473\pi\) | |||||||
\(282\) | 0.106933 | − | 0.185213i | 0.00636777 | − | 0.0110293i | ||||
\(283\) | 23.5838 | 1.40191 | 0.700956 | − | 0.713204i | \(-0.252757\pi\) | ||||
0.700956 | + | 0.713204i | \(0.252757\pi\) | |||||||
\(284\) | 0.590147 | − | 1.02216i | 0.0350188 | − | 0.0606543i | ||||
\(285\) | 0.0209135 | − | 0.0857634i | 0.00123881 | − | 0.00508019i | ||||
\(286\) | 3.01564 | 0.178318 | ||||||||
\(287\) | −28.5246 | − | 5.60500i | −1.68375 | − | 0.330853i | ||||
\(288\) | −4.73020 | − | 8.19294i | −0.278729 | − | 0.482774i | ||||
\(289\) | −3.82480 | −0.224988 | ||||||||
\(290\) | 0.834030 | 0.0489759 | ||||||||
\(291\) | −0.959851 | − | 1.66251i | −0.0562675 | − | 0.0974581i | ||||
\(292\) | −0.551216 | − | 0.954734i | −0.0322575 | − | 0.0558716i | ||||
\(293\) | −26.5936 | −1.55362 | −0.776808 | − | 0.629737i | \(-0.783163\pi\) | ||||
−0.776808 | + | 0.629737i | \(0.783163\pi\) | |||||||
\(294\) | −1.36740 | − | 0.558963i | −0.0797485 | − | 0.0325994i | ||||
\(295\) | −0.0732058 | + | 0.126796i | −0.00426221 | + | 0.00738236i | ||||
\(296\) | −2.72671 | − | 4.72279i | −0.158487 | − | 0.274507i | ||||
\(297\) | −0.454806 | + | 0.787747i | −0.0263905 | + | 0.0457097i | ||||
\(298\) | 1.40038 | + | 2.42553i | 0.0811218 | + | 0.140507i | ||||
\(299\) | 1.41439 | − | 2.44980i | 0.0817965 | − | 0.141676i | ||||
\(300\) | −0.258387 | + | 0.447540i | −0.0149180 | + | 0.0258387i | ||||
\(301\) | 28.9020 | + | 5.67915i | 1.66588 | + | 0.327341i | ||||
\(302\) | 2.45105 | + | 4.24534i | 0.141042 | + | 0.244292i | ||||
\(303\) | 1.00165 | + | 1.73491i | 0.0575434 | + | 0.0996681i | ||||
\(304\) | −2.57146 | + | 10.5452i | −0.147483 | + | 0.604809i | ||||
\(305\) | −0.542833 | + | 0.940215i | −0.0310826 | + | 0.0538366i | ||||
\(306\) | 6.41038 | − | 11.1031i | 0.366457 | − | 0.634723i | ||||
\(307\) | 9.48346 | + | 16.4258i | 0.541250 | + | 0.937472i | 0.998833 | + | 0.0483048i | \(0.0153819\pi\) |
−0.457583 | + | 0.889167i | \(0.651285\pi\) | |||||||
\(308\) | 0.873456 | − | 1.00067i | 0.0497697 | − | 0.0570184i | ||||
\(309\) | 1.03995 | + | 1.80124i | 0.0591606 | + | 0.102469i | ||||
\(310\) | −0.763824 | −0.0433823 | ||||||||
\(311\) | −14.9039 | + | 25.8143i | −0.845124 | + | 1.46380i | 0.0403901 | + | 0.999184i | \(0.487140\pi\) |
−0.885514 | + | 0.464613i | \(0.846193\pi\) | |||||||
\(312\) | −0.804298 | + | 1.39309i | −0.0455344 | + | 0.0788679i | ||||
\(313\) | 16.7240 | 0.945299 | 0.472649 | − | 0.881251i | \(-0.343298\pi\) | ||||
0.472649 | + | 0.881251i | \(0.343298\pi\) | |||||||
\(314\) | −2.88982 | + | 5.00532i | −0.163082 | + | 0.282466i | ||||
\(315\) | −0.290243 | − | 0.848544i | −0.0163534 | − | 0.0478100i | ||||
\(316\) | 2.41353 | 0.135772 | ||||||||
\(317\) | 9.17717 | 0.515441 | 0.257721 | − | 0.966219i | \(-0.417029\pi\) | ||||
0.257721 | + | 0.966219i | \(0.417029\pi\) | |||||||
\(318\) | −1.68320 | −0.0943891 | ||||||||
\(319\) | −2.63742 | − | 4.56815i | −0.147667 | − | 0.255767i | ||||
\(320\) | −0.500824 | + | 0.867452i | −0.0279969 | + | 0.0484920i | ||||
\(321\) | 0.495055 | + | 0.857460i | 0.0276313 | + | 0.0478587i | ||||
\(322\) | 0.977111 | + | 2.85664i | 0.0544523 | + | 0.159194i | ||||
\(323\) | 15.1862 | − | 4.43954i | 0.844980 | − | 0.247023i | ||||
\(324\) | 2.54674 | + | 4.41109i | 0.141486 | + | 0.245061i | ||||
\(325\) | −14.7094 | −0.815931 | ||||||||
\(326\) | −6.91830 | −0.383169 | ||||||||
\(327\) | −1.54034 | −0.0851809 | ||||||||
\(328\) | −16.8925 | − | 29.2588i | −0.932735 | − | 1.61554i | ||||
\(329\) | 1.76319 | − | 2.01998i | 0.0972075 | − | 0.111365i | ||||
\(330\) | 0.0207056 | 0.00113981 | ||||||||
\(331\) | −8.41959 | − | 14.5832i | −0.462783 | − | 0.801563i | 0.536316 | − | 0.844017i | \(-0.319816\pi\) |
−0.999098 | + | 0.0424544i | \(0.986482\pi\) | |||||||
\(332\) | 4.09250 | + | 7.08841i | 0.224605 | + | 0.389027i | ||||
\(333\) | 2.63241 | + | 4.55947i | 0.144255 | + | 0.249857i | ||||
\(334\) | 14.1464 | + | 24.5022i | 0.774055 | + | 1.34070i | ||||
\(335\) | 0.856271 | 0.0467831 | ||||||||
\(336\) | −0.378175 | − | 1.10562i | −0.0206311 | − | 0.0603163i | ||||
\(337\) | 6.35605 | + | 11.0090i | 0.346236 | + | 0.599699i | 0.985578 | − | 0.169224i | \(-0.0541263\pi\) |
−0.639341 | + | 0.768923i | \(0.720793\pi\) | |||||||
\(338\) | 5.11637 | 0.278294 | ||||||||
\(339\) | −2.36709 | −0.128563 | ||||||||
\(340\) | 0.242154 | 0.0131326 | ||||||||
\(341\) | 2.41541 | + | 4.18361i | 0.130802 | + | 0.226555i | ||||
\(342\) | 3.64748 | − | 14.9579i | 0.197233 | − | 0.808828i | ||||
\(343\) | −15.4704 | − | 10.1817i | −0.835324 | − | 0.549758i | ||||
\(344\) | 17.1160 | + | 29.6458i | 0.922834 | + | 1.59839i | ||||
\(345\) | 0.00971134 | − | 0.0168205i | 0.000522841 | − | 0.000905587i | ||||
\(346\) | −0.471463 | − | 0.816598i | −0.0253460 | − | 0.0439006i | ||||
\(347\) | −4.62457 | −0.248260 | −0.124130 | − | 0.992266i | \(-0.539614\pi\) | ||||
−0.124130 | + | 0.992266i | \(0.539614\pi\) | |||||||
\(348\) | 0.636131 | 0.0341002 | ||||||||
\(349\) | 7.10208 | 0.380166 | 0.190083 | − | 0.981768i | \(-0.439124\pi\) | ||||
0.190083 | + | 0.981768i | \(0.439124\pi\) | |||||||
\(350\) | 10.3237 | − | 11.8273i | 0.551826 | − | 0.632196i | ||||
\(351\) | 1.56120 | − | 2.70407i | 0.0833305 | − | 0.144333i | ||||
\(352\) | 2.73838 | 0.145956 | ||||||||
\(353\) | 7.60757 | − | 13.1767i | 0.404910 | − | 0.701325i | −0.589401 | − | 0.807841i | \(-0.700636\pi\) |
0.994311 | + | 0.106516i | \(0.0339696\pi\) | |||||||
\(354\) | 0.135297 | − | 0.234342i | 0.00719098 | − | 0.0124551i | ||||
\(355\) | 0.230671 | 0.0122428 | ||||||||
\(356\) | 2.99745 | + | 5.19174i | 0.158865 | + | 0.275162i | ||||
\(357\) | −1.12007 | + | 1.28321i | −0.0592806 | + | 0.0679144i | ||||
\(358\) | −6.83279 | − | 11.8347i | −0.361124 | − | 0.625485i | ||||
\(359\) | 12.7615 | − | 22.1035i | 0.673525 | − | 1.16658i | −0.303372 | − | 0.952872i | \(-0.598113\pi\) |
0.976898 | − | 0.213708i | \(-0.0685541\pi\) | |||||||
\(360\) | 0.521134 | − | 0.902630i | 0.0274662 | − | 0.0475728i | ||||
\(361\) | 16.0081 | − | 10.2343i | 0.842531 | − | 0.538648i | ||||
\(362\) | −12.9057 | − | 22.3534i | −0.678311 | − | 1.17487i | ||||
\(363\) | 0.910013 | + | 1.57619i | 0.0477633 | + | 0.0827285i | ||||
\(364\) | −2.99828 | + | 3.43496i | −0.157153 | + | 0.180041i | ||||
\(365\) | 0.107727 | − | 0.186589i | 0.00563870 | − | 0.00976651i | ||||
\(366\) | 1.00325 | − | 1.73769i | 0.0524409 | − | 0.0908303i | ||||
\(367\) | 1.94322 | + | 3.36575i | 0.101435 | + | 0.175691i | 0.912276 | − | 0.409576i | \(-0.134323\pi\) |
−0.810841 | + | 0.585267i | \(0.800990\pi\) | |||||||
\(368\) | −1.19408 | + | 2.06820i | −0.0622456 | + | 0.107812i | ||||
\(369\) | 16.3084 | + | 28.2469i | 0.848980 | + | 1.47048i | ||||
\(370\) | 0.120479 | − | 0.208675i | 0.00626339 | − | 0.0108485i | ||||
\(371\) | −20.7065 | − | 4.06876i | −1.07503 | − | 0.211239i | ||||
\(372\) | −0.582583 | −0.0302055 | ||||||||
\(373\) | −6.24975 | − | 10.8249i | −0.323600 | − | 0.560492i | 0.657628 | − | 0.753343i | \(-0.271560\pi\) |
−0.981228 | + | 0.192851i | \(0.938227\pi\) | |||||||
\(374\) | 1.85553 | + | 3.21388i | 0.0959473 | + | 0.166186i | ||||
\(375\) | −0.202256 | −0.0104445 | ||||||||
\(376\) | 3.11614 | 0.160703 | ||||||||
\(377\) | 9.05338 | + | 15.6809i | 0.466273 | + | 0.807609i | ||||
\(378\) | 1.07853 | + | 3.15314i | 0.0554735 | + | 0.162180i | ||||
\(379\) | 9.69449 | 0.497972 | 0.248986 | − | 0.968507i | \(-0.419903\pi\) | ||||
0.248986 | + | 0.968507i | \(0.419903\pi\) | |||||||
\(380\) | 0.279114 | − | 0.0815967i | 0.0143183 | − | 0.00418582i | ||||
\(381\) | −1.01522 | + | 1.75841i | −0.0520113 | + | 0.0900863i | ||||
\(382\) | 22.0026 | 1.12575 | ||||||||
\(383\) | 0.642289 | − | 1.11248i | 0.0328194 | − | 0.0568449i | −0.849149 | − | 0.528153i | \(-0.822885\pi\) |
0.881969 | + | 0.471308i | \(0.156218\pi\) | |||||||
\(384\) | 0.360381 | − | 0.624198i | 0.0183906 | − | 0.0318535i | ||||
\(385\) | 0.254717 | + | 0.0500512i | 0.0129816 | + | 0.00255084i | ||||
\(386\) | 9.29239 | − | 16.0949i | 0.472970 | − | 0.819209i | ||||
\(387\) | −16.5241 | − | 28.6206i | −0.839968 | − | 1.45487i | ||||
\(388\) | 3.16190 | − | 5.47657i | 0.160521 | − | 0.278031i | ||||
\(389\) | −14.8987 | − | 25.8054i | −0.755396 | − | 1.30838i | −0.945177 | − | 0.326557i | \(-0.894111\pi\) |
0.189782 | − | 0.981826i | \(-0.439222\pi\) | |||||||
\(390\) | −0.0710754 | −0.00359904 | ||||||||
\(391\) | 3.48112 | 0.176048 | ||||||||
\(392\) | −2.90865 | − | 21.3267i | −0.146909 | − | 1.07716i | ||||
\(393\) | 0.651599 | − | 1.12860i | 0.0328688 | − | 0.0569305i | ||||
\(394\) | −4.42840 | + | 7.67021i | −0.223099 | + | 0.386420i | ||||
\(395\) | 0.235845 | + | 0.408495i | 0.0118666 | + | 0.0205536i | ||||
\(396\) | −1.49031 | −0.0748907 | ||||||||
\(397\) | −11.2031 | + | 19.4043i | −0.562268 | + | 0.973876i | 0.435031 | + | 0.900416i | \(0.356738\pi\) |
−0.997298 | + | 0.0734604i | \(0.976596\pi\) | |||||||
\(398\) | −13.3066 | −0.666997 | ||||||||
\(399\) | −0.858642 | + | 1.85649i | −0.0429859 | + | 0.0929406i | ||||
\(400\) | 12.4182 | 0.620908 | ||||||||
\(401\) | −12.6531 | + | 21.9159i | −0.631868 | + | 1.09443i | 0.355301 | + | 0.934752i | \(0.384378\pi\) |
−0.987170 | + | 0.159676i | \(0.948955\pi\) | |||||||
\(402\) | −1.58254 | −0.0789300 | ||||||||
\(403\) | −8.29129 | − | 14.3609i | −0.413019 | − | 0.715369i | ||||
\(404\) | −3.29960 | + | 5.71508i | −0.164161 | + | 0.284336i | ||||
\(405\) | −0.497724 | + | 0.862084i | −0.0247321 | + | 0.0428373i | ||||
\(406\) | −18.9625 | − | 3.72608i | −0.941095 | − | 0.184922i | ||||
\(407\) | −1.52394 | −0.0755389 | ||||||||
\(408\) | −1.97955 | −0.0980024 | ||||||||
\(409\) | 9.08706 | + | 15.7392i | 0.449326 | + | 0.778256i | 0.998342 | − | 0.0575562i | \(-0.0183308\pi\) |
−0.549016 | + | 0.835812i | \(0.684997\pi\) | |||||||
\(410\) | 0.746393 | − | 1.29279i | 0.0368617 | − | 0.0638464i | ||||
\(411\) | −0.901285 | − | 1.56107i | −0.0444571 | − | 0.0770020i | ||||
\(412\) | −3.42576 | + | 5.93358i | −0.168775 | + | 0.292327i | ||||
\(413\) | 2.23088 | − | 2.55579i | 0.109774 | − | 0.125762i | ||||
\(414\) | 1.69374 | − | 2.93364i | 0.0832427 | − | 0.144181i | ||||
\(415\) | −0.799819 | + | 1.38533i | −0.0392616 | + | 0.0680030i | ||||
\(416\) | −9.39994 | −0.460870 | ||||||||
\(417\) | 0.598342 | − | 1.03636i | 0.0293009 | − | 0.0507507i | ||||
\(418\) | 3.22170 | + | 3.07917i | 0.157578 | + | 0.150607i | ||||
\(419\) | 30.9918 | 1.51405 | 0.757023 | − | 0.653388i | \(-0.226653\pi\) | ||||
0.757023 | + | 0.653388i | \(0.226653\pi\) | |||||||
\(420\) | −0.0205864 | + | 0.0235847i | −0.00100452 | + | 0.00115082i | ||||
\(421\) | 19.9882 | + | 34.6206i | 0.974167 | + | 1.68731i | 0.682657 | + | 0.730739i | \(0.260824\pi\) |
0.291510 | + | 0.956568i | \(0.405842\pi\) | |||||||
\(422\) | −0.645522 | −0.0314235 | ||||||||
\(423\) | −3.00838 | −0.146272 | ||||||||
\(424\) | −12.2626 | − | 21.2394i | −0.595523 | − | 1.03148i | ||||
\(425\) | −9.05075 | − | 15.6764i | −0.439026 | − | 0.760415i | ||||
\(426\) | −0.426322 | −0.0206554 | ||||||||
\(427\) | 16.5423 | − | 18.9516i | 0.800540 | − | 0.917133i | ||||
\(428\) | −1.63079 | + | 2.82461i | −0.0788272 | + | 0.136533i | ||||
\(429\) | 0.224759 | + | 0.389294i | 0.0108515 | + | 0.0187953i | ||||
\(430\) | −0.756266 | + | 1.30989i | −0.0364704 | + | 0.0631686i | ||||
\(431\) | 6.84363 | + | 11.8535i | 0.329646 | + | 0.570964i | 0.982442 | − | 0.186570i | \(-0.0597372\pi\) |
−0.652795 | + | 0.757534i | \(0.726404\pi\) | |||||||
\(432\) | −1.31801 | + | 2.28287i | −0.0634129 | + | 0.109834i | ||||
\(433\) | 0.272024 | − | 0.471159i | 0.0130726 | − | 0.0226424i | −0.859415 | − | 0.511278i | \(-0.829172\pi\) |
0.872488 | + | 0.488636i | \(0.162505\pi\) | |||||||
\(434\) | 17.3663 | + | 3.41243i | 0.833610 | + | 0.163802i | ||||
\(435\) | 0.0621613 | + | 0.107666i | 0.00298040 | + | 0.00516221i | ||||
\(436\) | −2.53706 | − | 4.39432i | −0.121503 | − | 0.210450i | ||||
\(437\) | 4.01245 | − | 1.17301i | 0.191942 | − | 0.0561125i | ||||
\(438\) | −0.199099 | + | 0.344850i | −0.00951332 | + | 0.0164776i | ||||
\(439\) | 18.0862 | − | 31.3262i | 0.863207 | − | 1.49512i | −0.00560994 | − | 0.999984i | \(-0.501786\pi\) |
0.868817 | − | 0.495134i | \(-0.164881\pi\) | |||||||
\(440\) | 0.150846 | + | 0.261273i | 0.00719130 | + | 0.0124557i | ||||
\(441\) | 2.80806 | + | 20.5892i | 0.133717 | + | 0.980438i | ||||
\(442\) | −6.36942 | − | 11.0322i | −0.302962 | − | 0.524746i | ||||
\(443\) | 28.3388 | 1.34642 | 0.673210 | − | 0.739452i | \(-0.264915\pi\) | ||||
0.673210 | + | 0.739452i | \(0.264915\pi\) | |||||||
\(444\) | 0.0918914 | − | 0.159161i | 0.00436097 | − | 0.00755343i | ||||
\(445\) | −0.585809 | + | 1.01465i | −0.0277700 | + | 0.0480990i | ||||
\(446\) | 0.911102 | 0.0431419 | ||||||||
\(447\) | −0.208744 | + | 0.361555i | −0.00987325 | + | 0.0171010i | ||||
\(448\) | 15.2621 | − | 17.4849i | 0.721068 | − | 0.826086i | ||||
\(449\) | −18.3226 | −0.864699 | −0.432350 | − | 0.901706i | \(-0.642315\pi\) | ||||
−0.432350 | + | 0.901706i | \(0.642315\pi\) | |||||||
\(450\) | −17.6145 | −0.830358 | ||||||||
\(451\) | −9.44115 | −0.444566 | ||||||||
\(452\) | −3.89879 | − | 6.75291i | −0.183384 | − | 0.317630i | ||||
\(453\) | −0.365359 | + | 0.632820i | −0.0171661 | + | 0.0297325i | ||||
\(454\) | −6.84518 | − | 11.8562i | −0.321260 | − | 0.556439i | ||||
\(455\) | −0.874359 | − | 0.171809i | −0.0409906 | − | 0.00805453i | ||||
\(456\) | −2.28169 | + | 0.667034i | −0.106850 | + | 0.0312367i | ||||
\(457\) | 8.23493 | + | 14.2633i | 0.385214 | + | 0.667210i | 0.991799 | − | 0.127809i | \(-0.0407943\pi\) |
−0.606585 | + | 0.795019i | \(0.707461\pi\) | |||||||
\(458\) | −27.0259 | −1.26284 | ||||||||
\(459\) | 3.84244 | 0.179350 | ||||||||
\(460\) | 0.0639814 | 0.00298315 | ||||||||
\(461\) | −9.03040 | − | 15.6411i | −0.420587 | − | 0.728479i | 0.575410 | − | 0.817865i | \(-0.304843\pi\) |
−0.995997 | + | 0.0893866i | \(0.971509\pi\) | |||||||
\(462\) | −0.470763 | − | 0.0925035i | −0.0219019 | − | 0.00430365i | ||||
\(463\) | 4.32242 | 0.200880 | 0.100440 | − | 0.994943i | \(-0.467975\pi\) | ||||
0.100440 | + | 0.994943i | \(0.467975\pi\) | |||||||
\(464\) | −7.64316 | − | 13.2383i | −0.354825 | − | 0.614575i | ||||
\(465\) | −0.0569287 | − | 0.0986034i | −0.00264000 | − | 0.00457262i | ||||
\(466\) | 1.47712 | + | 2.55844i | 0.0684262 | + | 0.118518i | ||||
\(467\) | 18.6575 | + | 32.3157i | 0.863366 | + | 1.49539i | 0.868660 | + | 0.495408i | \(0.164982\pi\) |
−0.00529373 | + | 0.999986i | \(0.501685\pi\) | |||||||
\(468\) | 5.11573 | 0.236474 | ||||||||
\(469\) | −19.4682 | − | 3.82544i | −0.898958 | − | 0.176642i | ||||
\(470\) | 0.0688430 | + | 0.119240i | 0.00317549 | + | 0.00550011i | ||||
\(471\) | −0.861527 | −0.0396971 | ||||||||
\(472\) | 3.94272 | 0.181478 | ||||||||
\(473\) | 9.56604 | 0.439847 | ||||||||
\(474\) | −0.435883 | − | 0.754972i | −0.0200208 | − | 0.0346770i | ||||
\(475\) | −15.7145 | − | 15.0193i | −0.721032 | − | 0.689133i | ||||
\(476\) | −5.50561 | − | 1.08184i | −0.252349 | − | 0.0495859i | ||||
\(477\) | 11.8385 | + | 20.5049i | 0.542048 | + | 0.938854i | ||||
\(478\) | −13.4622 | + | 23.3171i | −0.615745 | + | 1.06650i | ||||
\(479\) | 17.8369 | + | 30.8944i | 0.814988 | + | 1.41160i | 0.909336 | + | 0.416062i | \(0.136590\pi\) |
−0.0943480 | + | 0.995539i | \(0.530077\pi\) | |||||||
\(480\) | −0.0645407 | −0.00294587 | ||||||||
\(481\) | 5.23118 | 0.238521 | ||||||||
\(482\) | −25.0569 | −1.14131 | ||||||||
\(483\) | −0.295944 | + | 0.339046i | −0.0134659 | + | 0.0154271i | ||||
\(484\) | −2.99773 | + | 5.19222i | −0.136260 | + | 0.236010i | ||||
\(485\) | 1.23590 | 0.0561191 | ||||||||
\(486\) | 2.80923 | − | 4.86573i | 0.127429 | − | 0.220714i | ||||
\(487\) | −20.1877 | + | 34.9662i | −0.914794 | + | 1.58447i | −0.107592 | + | 0.994195i | \(0.534314\pi\) |
−0.807202 | + | 0.590275i | \(0.799019\pi\) | |||||||
\(488\) | 29.2359 | 1.32345 | ||||||||
\(489\) | −0.515629 | − | 0.893096i | −0.0233176 | − | 0.0403872i | ||||
\(490\) | 0.751810 | − | 0.582457i | 0.0339633 | − | 0.0263127i | ||||
\(491\) | −12.3300 | − | 21.3563i | −0.556447 | − | 0.963794i | −0.997789 | − | 0.0664556i | \(-0.978831\pi\) |
0.441342 | − | 0.897339i | \(-0.354502\pi\) | |||||||
\(492\) | 0.569288 | − | 0.986036i | 0.0256655 | − | 0.0444539i | ||||
\(493\) | −11.1412 | + | 19.2971i | −0.501773 | + | 0.869095i | ||||
\(494\) | −11.0590 | − | 10.5698i | −0.497569 | − | 0.475556i | ||||
\(495\) | −0.145629 | − | 0.252238i | −0.00654556 | − | 0.0113372i | ||||
\(496\) | 6.99978 | + | 12.1240i | 0.314299 | + | 0.544383i | ||||
\(497\) | −5.24455 | − | 1.03054i | −0.235250 | − | 0.0462259i | ||||
\(498\) | 1.47821 | − | 2.56033i | 0.0662401 | − | 0.114731i | ||||
\(499\) | 19.4722 | − | 33.7268i | 0.871696 | − | 1.50982i | 0.0114541 | − | 0.999934i | \(-0.496354\pi\) |
0.860242 | − | 0.509887i | \(-0.170313\pi\) | |||||||
\(500\) | −0.333132 | − | 0.577001i | −0.0148981 | − | 0.0258043i | ||||
\(501\) | −2.10869 | + | 3.65236i | −0.0942093 | + | 0.163175i | ||||
\(502\) | 7.14813 | + | 12.3809i | 0.319037 | + | 0.552588i | ||||
\(503\) | −6.02290 | + | 10.4320i | −0.268548 | + | 0.465139i | −0.968487 | − | 0.249064i | \(-0.919877\pi\) |
0.699939 | + | 0.714203i | \(0.253210\pi\) | |||||||
\(504\) | −15.8811 | + | 18.1940i | −0.707399 | + | 0.810426i | ||||
\(505\) | −1.28972 | −0.0573917 | ||||||||
\(506\) | 0.490265 | + | 0.849163i | 0.0217949 | + | 0.0377499i | ||||
\(507\) | 0.381329 | + | 0.660482i | 0.0169354 | + | 0.0293330i | ||||
\(508\) | −6.68860 | −0.296759 | ||||||||
\(509\) | 39.8346 | 1.76564 | 0.882819 | − | 0.469713i | \(-0.155643\pi\) | ||||
0.882819 | + | 0.469713i | \(0.155643\pi\) | |||||||
\(510\) | −0.0437330 | − | 0.0757477i | −0.00193653 | − | 0.00335416i | ||||
\(511\) | −3.28288 | + | 3.76101i | −0.145226 | + | 0.166377i | ||||
\(512\) | 23.2494 | 1.02749 | ||||||||
\(513\) | 4.42892 | − | 1.29476i | 0.195541 | − | 0.0571649i | ||||
\(514\) | −15.2034 | + | 26.3330i | −0.670591 | + | 1.16150i | ||||
\(515\) | −1.33903 | −0.0590046 | ||||||||
\(516\) | −0.576819 | + | 0.999079i | −0.0253930 | + | 0.0439820i | ||||
\(517\) | 0.435399 | − | 0.754133i | 0.0191488 | − | 0.0331667i | ||||
\(518\) | −3.67148 | + | 4.20620i | −0.161315 | + | 0.184810i | ||||
\(519\) | 0.0702774 | − | 0.121724i | 0.00308484 | − | 0.00534309i | ||||
\(520\) | −0.517804 | − | 0.896863i | −0.0227072 | − | 0.0393300i | ||||
\(521\) | 7.70499 | − | 13.3454i | 0.337562 | − | 0.584674i | −0.646412 | − | 0.762989i | \(-0.723731\pi\) |
0.983973 | + | 0.178315i | \(0.0570645\pi\) | |||||||
\(522\) | 10.8414 | + | 18.7779i | 0.474517 | + | 0.821888i | ||||
\(523\) | −29.2537 | −1.27918 | −0.639589 | − | 0.768717i | \(-0.720895\pi\) | ||||
−0.639589 | + | 0.768717i | \(0.720895\pi\) | |||||||
\(524\) | 4.29294 | 0.187538 | ||||||||
\(525\) | 2.29625 | + | 0.451206i | 0.100216 | + | 0.0196922i | ||||
\(526\) | −17.5151 | + | 30.3371i | −0.763695 | + | 1.32276i | ||||
\(527\) | 10.2033 | − | 17.6727i | 0.444464 | − | 0.769834i | ||||
\(528\) | −0.189749 | − | 0.328655i | −0.00825776 | − | 0.0143029i | ||||
\(529\) | −22.0802 | −0.960010 | ||||||||
\(530\) | 0.541818 | − | 0.938456i | 0.0235351 | − | 0.0407639i | ||||
\(531\) | −3.80637 | −0.165182 | ||||||||
\(532\) | −6.71048 | + | 0.608225i | −0.290936 | + | 0.0263699i | ||||
\(533\) | 32.4083 | 1.40376 | ||||||||
\(534\) | 1.08268 | − | 1.87526i | 0.0468521 | − | 0.0811502i | ||||
\(535\) | −0.637428 | −0.0275584 | ||||||||
\(536\) | −11.5292 | − | 19.9692i | −0.497988 | − | 0.862540i | ||||
\(537\) | 1.01851 | − | 1.76411i | 0.0439520 | − | 0.0761271i | ||||
\(538\) | 5.15474 | − | 8.92827i | 0.222237 | − | 0.384925i | ||||
\(539\) | −5.56765 | − | 2.27593i | −0.239816 | − | 0.0980312i | ||||
\(540\) | 0.0706222 | 0.00303909 | ||||||||
\(541\) | −23.5576 | −1.01282 | −0.506411 | − | 0.862292i | \(-0.669028\pi\) | ||||
−0.506411 | + | 0.862292i | \(0.669028\pi\) | |||||||
\(542\) | 5.23428 | + | 9.06604i | 0.224832 | + | 0.389420i | ||||
\(543\) | 1.92376 | − | 3.33205i | 0.0825565 | − | 0.142992i | ||||
\(544\) | −5.78381 | − | 10.0179i | −0.247979 | − | 0.429512i | ||||
\(545\) | 0.495832 | − | 0.858806i | 0.0212391 | − | 0.0367872i | ||||
\(546\) | 1.61597 | + | 0.317534i | 0.0691572 | + | 0.0135892i | ||||
\(547\) | 12.4410 | − | 21.5485i | 0.531940 | − | 0.921347i | −0.467365 | − | 0.884064i | \(-0.654797\pi\) |
0.999305 | − | 0.0372821i | \(-0.0118700\pi\) | |||||||
\(548\) | 2.96898 | − | 5.14242i | 0.126828 | − | 0.219673i | ||||
\(549\) | −28.2249 | −1.20461 | ||||||||
\(550\) | 2.54933 | − | 4.41557i | 0.108704 | − | 0.188280i | ||||
\(551\) | −6.33928 | + | 25.9965i | −0.270062 | + | 1.10749i | ||||
\(552\) | −0.523033 | −0.0222617 | ||||||||
\(553\) | −3.53720 | − | 10.3412i | −0.150417 | − | 0.439753i | ||||
\(554\) | 13.8057 | + | 23.9121i | 0.586546 | + | 1.01593i | ||||
\(555\) | 0.0359177 | 0.00152462 | ||||||||
\(556\) | 3.94207 | 0.167181 | ||||||||
\(557\) | 19.5163 | + | 33.8033i | 0.826934 | + | 1.43229i | 0.900432 | + | 0.434997i | \(0.143250\pi\) |
−0.0734978 | + | 0.997295i | \(0.523416\pi\) | |||||||
\(558\) | −9.92884 | − | 17.1972i | −0.420321 | − | 0.728018i | ||||
\(559\) | −32.8370 | −1.38886 | ||||||||
\(560\) | 0.738163 | + | 0.145047i | 0.0311931 | + | 0.00612934i | ||||
\(561\) | −0.276590 | + | 0.479068i | −0.0116776 | + | 0.0202263i | ||||
\(562\) | 0.113216 | + | 0.196097i | 0.00477575 | + | 0.00827184i | ||||
\(563\) | −13.0032 | + | 22.5222i | −0.548020 | + | 0.949199i | 0.450390 | + | 0.892832i | \(0.351285\pi\) |
−0.998410 | + | 0.0563667i | \(0.982048\pi\) | |||||||
\(564\) | 0.0525078 | + | 0.0909463i | 0.00221098 | + | 0.00382953i | ||||
\(565\) | 0.761963 | − | 1.31976i | 0.0320560 | − | 0.0555226i | ||||
\(566\) | 14.0306 | − | 24.3017i | 0.589750 | − | 1.02148i | ||||
\(567\) | 15.1677 | − | 17.3767i | 0.636982 | − | 0.729754i | ||||
\(568\) | −3.10587 | − | 5.37953i | −0.130319 | − | 0.225720i | ||||
\(569\) | −1.79425 | − | 3.10773i | −0.0752188 | − | 0.130283i | 0.825963 | − | 0.563725i | \(-0.190632\pi\) |
−0.901181 | + | 0.433442i | \(0.857299\pi\) | |||||||
\(570\) | −0.0759321 | − | 0.0725728i | −0.00318045 | − | 0.00303974i | ||||
\(571\) | −0.297305 | + | 0.514948i | −0.0124418 | + | 0.0215499i | −0.872179 | − | 0.489186i | \(-0.837294\pi\) |
0.859737 | + | 0.510736i | \(0.170627\pi\) | |||||||
\(572\) | −0.740392 | + | 1.28240i | −0.0309573 | + | 0.0536197i | ||||
\(573\) | 1.63988 | + | 2.84036i | 0.0685071 | + | 0.118658i | ||||
\(574\) | −22.7456 | + | 26.0583i | −0.949384 | + | 1.08765i | ||||
\(575\) | −2.39137 | − | 4.14198i | −0.0997271 | − | 0.172732i | ||||
\(576\) | −26.0405 | −1.08502 | ||||||||
\(577\) | −2.68994 | + | 4.65912i | −0.111984 | + | 0.193962i | −0.916570 | − | 0.399874i | \(-0.869054\pi\) |
0.804586 | + | 0.593836i | \(0.202387\pi\) | |||||||
\(578\) | −2.27547 | + | 3.94123i | −0.0946470 | + | 0.163933i | ||||
\(579\) | 2.77029 | 0.115129 | ||||||||
\(580\) | −0.204769 | + | 0.354671i | −0.00850258 | + | 0.0147269i | ||||
\(581\) | 24.3737 | − | 27.9236i | 1.01119 | − | 1.15847i | ||||
\(582\) | −2.28416 | −0.0946813 | ||||||||
\(583\) | −6.85348 | −0.283842 | ||||||||
\(584\) | −5.80196 | −0.240087 | ||||||||
\(585\) | 0.499897 | + | 0.865847i | 0.0206682 | + | 0.0357984i | ||||
\(586\) | −15.8212 | + | 27.4031i | −0.653568 | + | 1.13201i | ||||
\(587\) | 2.65579 | + | 4.59996i | 0.109616 | + | 0.189861i | 0.915615 | − | 0.402057i | \(-0.131705\pi\) |
−0.805999 | + | 0.591917i | \(0.798371\pi\) | |||||||
\(588\) | 0.573420 | − | 0.444251i | 0.0236474 | − | 0.0183206i | ||||
\(589\) | 5.80565 | − | 23.8082i | 0.239218 | − | 0.981000i | ||||
\(590\) | 0.0871039 | + | 0.150868i | 0.00358601 | + | 0.00621115i | ||||
\(591\) | −1.32021 | −0.0543064 | ||||||||
\(592\) | −4.41633 | −0.181510 | ||||||||
\(593\) | −38.5157 | −1.58165 | −0.790826 | − | 0.612041i | \(-0.790349\pi\) | ||||
−0.790826 | + | 0.612041i | \(0.790349\pi\) | |||||||
\(594\) | 0.541151 | + | 0.937300i | 0.0222037 | + | 0.0384579i | ||||
\(595\) | −0.354893 | − | 1.03755i | −0.0145492 | − | 0.0425355i | ||||
\(596\) | −1.37527 | −0.0563333 | ||||||||
\(597\) | −0.991753 | − | 1.71777i | −0.0405897 | − | 0.0703035i | ||||
\(598\) | −1.68291 | − | 2.91489i | −0.0688195 | − | 0.119199i | ||||
\(599\) | −8.46385 | − | 14.6598i | −0.345824 | − | 0.598984i | 0.639679 | − | 0.768642i | \(-0.279067\pi\) |
−0.985503 | + | 0.169658i | \(0.945734\pi\) | |||||||
\(600\) | 1.35986 | + | 2.35535i | 0.0555160 | + | 0.0961566i | ||||
\(601\) | −33.3487 | −1.36032 | −0.680160 | − | 0.733064i | \(-0.738090\pi\) | ||||
−0.680160 | + | 0.733064i | \(0.738090\pi\) | |||||||
\(602\) | 23.0465 | − | 26.4031i | 0.939306 | − | 1.07611i | ||||
\(603\) | 11.1305 | + | 19.2787i | 0.453271 | + | 0.785088i | ||||
\(604\) | −2.40710 | −0.0979435 | ||||||||
\(605\) | −1.17173 | −0.0476374 | ||||||||
\(606\) | 2.38363 | 0.0968284 | ||||||||
\(607\) | −3.32915 | − | 5.76625i | −0.135126 | − | 0.234045i | 0.790520 | − | 0.612437i | \(-0.209811\pi\) |
−0.925646 | + | 0.378392i | \(0.876477\pi\) | |||||||
\(608\) | −10.0422 | − | 9.59798i | −0.407267 | − | 0.389249i | ||||
\(609\) | −0.932294 | − | 2.72562i | −0.0377784 | − | 0.110448i | ||||
\(610\) | 0.645890 | + | 1.11871i | 0.0261513 | + | 0.0452954i | ||||
\(611\) | −1.49458 | + | 2.58869i | −0.0604642 | + | 0.104727i | ||||
\(612\) | 3.14772 | + | 5.45202i | 0.127239 | + | 0.220385i | ||||
\(613\) | 28.2774 | 1.14211 | 0.571057 | − | 0.820911i | \(-0.306534\pi\) | ||||
0.571057 | + | 0.820911i | \(0.306534\pi\) | |||||||
\(614\) | 22.5678 | 0.910761 | ||||||||
\(615\) | 0.222518 | 0.00897280 | ||||||||
\(616\) | −2.26239 | − | 6.61422i | −0.0911541 | − | 0.266495i | ||||
\(617\) | 15.2369 | − | 26.3911i | 0.613415 | − | 1.06247i | −0.377245 | − | 0.926113i | \(-0.623129\pi\) |
0.990660 | − | 0.136353i | \(-0.0435380\pi\) | |||||||
\(618\) | 2.47476 | 0.0995496 | ||||||||
\(619\) | 17.5379 | − | 30.3766i | 0.704909 | − | 1.22094i | −0.261815 | − | 0.965118i | \(-0.584321\pi\) |
0.966724 | − | 0.255821i | \(-0.0823457\pi\) | |||||||
\(620\) | 0.187532 | − | 0.324815i | 0.00753147 | − | 0.0130449i | ||||
\(621\) | 1.01524 | 0.0407402 | ||||||||
\(622\) | 17.7334 | + | 30.7152i | 0.711045 | + | 1.23157i | ||||
\(623\) | 17.8520 | − | 20.4520i | 0.715224 | − | 0.819391i | ||||
\(624\) | 0.651344 | + | 1.12816i | 0.0260746 | + | 0.0451626i | ||||
\(625\) | −12.4023 | + | 21.4814i | −0.496092 | + | 0.859256i | ||||
\(626\) | 9.94955 | − | 17.2331i | 0.397664 | − | 0.688774i | ||||
\(627\) | −0.157379 | + | 0.645389i | −0.00628510 | + | 0.0257744i | ||||
\(628\) | −1.41900 | − | 2.45779i | −0.0566244 | − | 0.0980764i | ||||
\(629\) | 3.21876 | + | 5.57506i | 0.128340 | + | 0.222292i | ||||
\(630\) | −1.04705 | − | 0.205741i | −0.0417153 | − | 0.00819694i | ||||
\(631\) | 14.0430 | − | 24.3233i | 0.559044 | − | 0.968293i | −0.438532 | − | 0.898716i | \(-0.644501\pi\) |
0.997577 | − | 0.0695778i | \(-0.0221652\pi\) | |||||||
\(632\) | 6.35106 | − | 11.0004i | 0.252631 | − | 0.437571i | ||||
\(633\) | −0.0481115 | − | 0.0833315i | −0.00191226 | − | 0.00331213i | ||||
\(634\) | 5.45973 | − | 9.45652i | 0.216833 | − | 0.375567i | ||||
\(635\) | −0.653595 | − | 1.13206i | −0.0259371 | − | 0.0449244i | ||||
\(636\) | 0.413255 | − | 0.715778i | 0.0163866 | − | 0.0283825i | ||||
\(637\) | 19.1119 | + | 7.81250i | 0.757240 | + | 0.309543i | ||||
\(638\) | −6.27627 | −0.248480 | ||||||||
\(639\) | 2.99846 | + | 5.19349i | 0.118617 | + | 0.205451i | ||||
\(640\) | 0.232012 | + | 0.401856i | 0.00917106 | + | 0.0158847i | ||||
\(641\) | 20.9010 | 0.825539 | 0.412770 | − | 0.910836i | \(-0.364561\pi\) | ||||
0.412770 | + | 0.910836i | \(0.364561\pi\) | |||||||
\(642\) | 1.17808 | 0.0464951 | ||||||||
\(643\) | 17.7357 | + | 30.7191i | 0.699427 | + | 1.21144i | 0.968665 | + | 0.248370i | \(0.0798949\pi\) |
−0.269238 | + | 0.963074i | \(0.586772\pi\) | |||||||
\(644\) | −1.45468 | − | 0.285841i | −0.0573225 | − | 0.0112637i | ||||
\(645\) | −0.225462 | −0.00887755 | ||||||||
\(646\) | 4.45994 | − | 18.2896i | 0.175474 | − | 0.719595i | ||||
\(647\) | 8.85659 | − | 15.3401i | 0.348189 | − | 0.603080i | −0.637739 | − | 0.770252i | \(-0.720130\pi\) |
0.985928 | + | 0.167172i | \(0.0534636\pi\) | |||||||
\(648\) | 26.8064 | 1.05305 | ||||||||
\(649\) | 0.550890 | − | 0.954170i | 0.0216243 | − | 0.0374545i | ||||
\(650\) | −8.75099 | + | 15.1572i | −0.343242 | + | 0.594513i | ||||
\(651\) | 0.853815 | + | 2.49618i | 0.0334637 | + | 0.0978330i | ||||
\(652\) | 1.69856 | − | 2.94200i | 0.0665209 | − | 0.115218i | ||||
\(653\) | 7.88881 | + | 13.6638i | 0.308713 | + | 0.534706i | 0.978081 | − | 0.208224i | \(-0.0667685\pi\) |
−0.669368 | + | 0.742931i | \(0.733435\pi\) | |||||||
\(654\) | −0.916386 | + | 1.58723i | −0.0358335 | + | 0.0620655i | ||||
\(655\) | 0.419497 | + | 0.726590i | 0.0163911 | + | 0.0283902i | ||||
\(656\) | −27.3602 | −1.06823 | ||||||||
\(657\) | 5.60132 | 0.218528 | ||||||||
\(658\) | −1.03251 | − | 3.01859i | −0.0402513 | − | 0.117677i | ||||
\(659\) | −7.51139 | + | 13.0101i | −0.292602 | + | 0.506802i | −0.974424 | − | 0.224716i | \(-0.927854\pi\) |
0.681822 | + | 0.731518i | \(0.261188\pi\) | |||||||
\(660\) | −0.00508359 | + | 0.00880504i | −0.000197878 | + | 0.000342736i | ||||
\(661\) | −7.82830 | − | 13.5590i | −0.304485 | − | 0.527384i | 0.672661 | − | 0.739951i | \(-0.265151\pi\) |
−0.977147 | + | 0.212566i | \(0.931818\pi\) | |||||||
\(662\) | −20.0361 | −0.778725 | ||||||||
\(663\) | 0.949441 | − | 1.64448i | 0.0368732 | − | 0.0638663i | ||||
\(664\) | 43.0766 | 1.67170 | ||||||||
\(665\) | −0.758677 | − | 1.07633i | −0.0294202 | − | 0.0417383i | ||||
\(666\) | 6.26434 | 0.242738 | ||||||||
\(667\) | −2.94369 | + | 5.09863i | −0.113980 | + | 0.197420i | ||||
\(668\) | −13.8927 | −0.537526 | ||||||||
\(669\) | 0.0679055 | + | 0.117616i | 0.00262538 | + | 0.00454729i | ||||
\(670\) | 0.509417 | − | 0.882336i | 0.0196805 | − | 0.0340876i | ||||
\(671\) | 4.08495 | − | 7.07533i | 0.157698 | − | 0.273140i | ||||
\(672\) | 1.46740 | + | 0.288339i | 0.0566062 | + | 0.0111229i | ||||
\(673\) | −23.6359 | −0.911099 | −0.455549 | − | 0.890211i | \(-0.650557\pi\) | ||||
−0.455549 | + | 0.890211i | \(0.650557\pi\) | |||||||
\(674\) | 15.1255 | 0.582612 | ||||||||
\(675\) | −2.63958 | − | 4.57188i | −0.101597 | − | 0.175972i | ||||
\(676\) | −1.25616 | + | 2.17573i | −0.0483138 | + | 0.0836820i | ||||
\(677\) | −6.84401 | − | 11.8542i | −0.263037 | − | 0.455593i | 0.704011 | − | 0.710189i | \(-0.251391\pi\) |
−0.967047 | + | 0.254596i | \(0.918057\pi\) | |||||||
\(678\) | −1.40824 | + | 2.43915i | −0.0540833 | + | 0.0936749i | ||||
\(679\) | −28.0994 | − | 5.52144i | −1.07835 | − | 0.211893i | ||||
\(680\) | 0.637213 | − | 1.10369i | 0.0244360 | − | 0.0423244i | ||||
\(681\) | 1.02036 | − | 1.76731i | 0.0391002 | − | 0.0677236i | ||||
\(682\) | 5.74795 | 0.220100 | ||||||||
\(683\) | −6.54467 | + | 11.3357i | −0.250425 | + | 0.433749i | −0.963643 | − | 0.267194i | \(-0.913904\pi\) |
0.713218 | + | 0.700942i | \(0.247237\pi\) | |||||||
\(684\) | 5.46529 | + | 5.22350i | 0.208971 | + | 0.199726i | ||||
\(685\) | 1.16049 | 0.0443399 | ||||||||
\(686\) | −19.6953 | + | 9.88401i | −0.751971 | + | 0.377373i | ||||
\(687\) | −2.01427 | − | 3.48882i | −0.0768493 | − | 0.133107i | ||||
\(688\) | 27.7221 | 1.05690 | ||||||||
\(689\) | 23.5257 | 0.896258 | ||||||||
\(690\) | −0.0115550 | − | 0.0200139i | −0.000439892 | − | 0.000761916i | ||||
\(691\) | −20.6714 | − | 35.8039i | −0.786377 | − | 1.36204i | −0.928173 | − | 0.372149i | \(-0.878621\pi\) |
0.141796 | − | 0.989896i | \(-0.454712\pi\) | |||||||
\(692\) | 0.463010 | 0.0176010 | ||||||||
\(693\) | 2.18415 | + | 6.38549i | 0.0829689 | + | 0.242565i | ||||
\(694\) | −2.75127 | + | 4.76534i | −0.104437 | + | 0.180890i | ||||
\(695\) | 0.385210 | + | 0.667203i | 0.0146118 | + | 0.0253085i | ||||
\(696\) | 1.67394 | − | 2.89935i | 0.0634505 | − | 0.109899i | ||||
\(697\) | 19.9409 | + | 34.5387i | 0.755317 | + | 1.30825i | ||||
\(698\) | 4.22521 | − | 7.31827i | 0.159926 | − | 0.277001i | ||||
\(699\) | −0.220183 | + | 0.381368i | −0.00832807 | + | 0.0144246i | ||||
\(700\) | 2.49489 | + | 7.29396i | 0.0942980 | + | 0.275686i | ||||
\(701\) | −1.46981 | − | 2.54579i | −0.0555141 | − | 0.0961532i | 0.836933 | − | 0.547306i | \(-0.184346\pi\) |
−0.892447 | + | 0.451152i | \(0.851013\pi\) | |||||||
\(702\) | −1.85759 | − | 3.21744i | −0.0701102 | − | 0.121434i | ||||
\(703\) | 5.58863 | + | 5.34139i | 0.210779 | + | 0.201454i | ||||
\(704\) | 3.76881 | − | 6.52777i | 0.142042 | − | 0.246025i | ||||
\(705\) | −0.0102619 | + | 0.0177741i | −0.000386485 | + | 0.000669412i | ||||
\(706\) | −9.05186 | − | 15.6783i | −0.340671 | − | 0.590060i | ||||
\(707\) | 29.3231 | + | 5.76189i | 1.10281 | + | 0.216698i | ||||
\(708\) | 0.0664358 | + | 0.115070i | 0.00249681 | + | 0.00432460i | ||||
\(709\) | −14.7990 | −0.555790 | −0.277895 | − | 0.960612i | \(-0.589637\pi\) | ||||
−0.277895 | + | 0.960612i | \(0.589637\pi\) | |||||||
\(710\) | 0.137232 | − | 0.237693i | 0.00515023 | − | 0.00892046i | ||||
\(711\) | −6.13142 | + | 10.6199i | −0.229946 | + | 0.398279i | ||||
\(712\) | 31.5504 | 1.18240 | ||||||||
\(713\) | 2.69590 | − | 4.66944i | 0.100962 | − | 0.174872i | ||||
\(714\) | 0.655906 | + | 1.91758i | 0.0245467 | + | 0.0717637i | ||||
\(715\) | −0.289398 | −0.0108229 | ||||||||
\(716\) | 6.71028 | 0.250775 | ||||||||
\(717\) | −4.01340 | −0.149883 | ||||||||
\(718\) | −15.1842 | − | 26.2999i | −0.566671 | − | 0.981503i | ||||
\(719\) | −11.9227 | + | 20.6507i | −0.444640 | + | 0.770140i | −0.998027 | − | 0.0627848i | \(-0.980002\pi\) |
0.553387 | + | 0.832924i | \(0.313335\pi\) | |||||||
\(720\) | −0.422030 | − | 0.730977i | −0.0157281 | − | 0.0272419i | ||||
\(721\) | 30.4442 | + | 5.98219i | 1.13380 | + | 0.222788i | ||||
\(722\) | −1.02225 | − | 22.5840i | −0.0380440 | − | 0.840490i | ||||
\(723\) | −1.86752 | − | 3.23464i | −0.0694539 | − | 0.120298i | ||||
\(724\) | 12.6743 | 0.471038 | ||||||||
\(725\) | 30.6138 | 1.13697 | ||||||||
\(726\) | 2.16556 | 0.0803714 | ||||||||
\(727\) | 4.40551 | + | 7.63057i | 0.163391 | + | 0.283002i | 0.936083 | − | 0.351780i | \(-0.114423\pi\) |
−0.772691 | + | 0.634782i | \(0.781090\pi\) | |||||||
\(728\) | 7.76601 | + | 22.7044i | 0.287828 | + | 0.841481i | ||||
\(729\) | −25.3161 | −0.937634 | ||||||||
\(730\) | −0.128179 | − | 0.222013i | −0.00474412 | − | 0.00821706i | ||||
\(731\) | −20.2047 | − | 34.9956i | −0.747299 | − | 1.29436i | ||||
\(732\) | 0.492633 | + | 0.853265i | 0.0182082 | + | 0.0315376i | ||||
\(733\) | 11.3925 | + | 19.7324i | 0.420792 | + | 0.728834i | 0.996017 | − | 0.0891616i | \(-0.0284188\pi\) |
−0.575225 | + | 0.817995i | \(0.695085\pi\) | |||||||
\(734\) | 4.62428 | 0.170685 | ||||||||
\(735\) | 0.131224 | + | 0.0536413i | 0.00484026 | + | 0.00197859i | ||||
\(736\) | −1.52819 | − | 2.64690i | −0.0563297 | − | 0.0975660i | ||||
\(737\) | −6.44363 | −0.237354 | ||||||||
\(738\) | 38.8090 | 1.42858 | ||||||||
\(739\) | −0.441823 | −0.0162527 | −0.00812636 | − | 0.999967i | \(-0.502587\pi\) | ||||
−0.00812636 | + | 0.999967i | \(0.502587\pi\) | |||||||
\(740\) | 0.0591593 | + | 0.102467i | 0.00217474 | + | 0.00376676i | ||||
\(741\) | 0.540228 | − | 2.21541i | 0.0198458 | − | 0.0813849i | ||||
\(742\) | −16.5114 | + | 18.9162i | −0.606152 | + | 0.694434i | ||||
\(743\) | 18.2847 | + | 31.6700i | 0.670801 | + | 1.16186i | 0.977677 | + | 0.210112i | \(0.0673828\pi\) |
−0.306876 | + | 0.951749i | \(0.599284\pi\) | |||||||
\(744\) | −1.53303 | + | 2.65529i | −0.0562036 | + | 0.0973476i | ||||
\(745\) | −0.134388 | − | 0.232768i | −0.00492361 | − | 0.00852794i | ||||
\(746\) | −14.8725 | −0.544522 | ||||||||
\(747\) | −41.5869 | −1.52159 | ||||||||
\(748\) | −1.82226 | −0.0666285 | ||||||||
\(749\) | 14.4926 | + | 2.84775i | 0.529547 | + | 0.104054i | ||||
\(750\) | −0.120327 | + | 0.208413i | −0.00439373 | + | 0.00761016i | ||||
\(751\) | −8.38453 | −0.305956 | −0.152978 | − | 0.988230i | \(-0.548886\pi\) | ||||
−0.152978 | + | 0.988230i | \(0.548886\pi\) | |||||||
\(752\) | 1.26177 | − | 2.18545i | 0.0460121 | − | 0.0796953i | ||||
\(753\) | −1.06552 | + | 1.84553i | −0.0388296 | + | 0.0672549i | ||||
\(754\) | 21.5443 | 0.784598 | ||||||||
\(755\) | −0.235216 | − | 0.407407i | −0.00856040 | − | 0.0148271i | ||||
\(756\) | −1.60567 | − | 0.315509i | −0.0583976 | − | 0.0114749i | ||||
\(757\) | −14.4729 | − | 25.0679i | −0.526028 | − | 0.911107i | −0.999540 | − | 0.0303197i | \(-0.990347\pi\) |
0.473512 | − | 0.880787i | \(-0.342986\pi\) | |||||||
\(758\) | 5.76749 | − | 9.98959i | 0.209485 | − | 0.362838i | ||||
\(759\) | −0.0730800 | + | 0.126578i | −0.00265264 | + | 0.00459450i | ||||
\(760\) | 0.362572 | − | 1.48686i | 0.0131519 | − | 0.0539341i | ||||
\(761\) | −21.3640 | − | 37.0036i | −0.774445 | − | 1.34138i | −0.935106 | − | 0.354369i | \(-0.884696\pi\) |
0.160661 | − | 0.987010i | \(-0.448638\pi\) | |||||||
\(762\) | 1.20796 | + | 2.09225i | 0.0437598 | + | 0.0757941i | ||||
\(763\) | −15.1100 | + | 17.3107i | −0.547019 | + | 0.626688i | ||||
\(764\) | −5.40204 | + | 9.35660i | −0.195439 | + | 0.338510i | ||||
\(765\) | −0.615177 | + | 1.06552i | −0.0222418 | + | 0.0385239i | ||||
\(766\) | −0.764227 | − | 1.32368i | −0.0276126 | − | 0.0478265i | ||||
\(767\) | −1.89102 | + | 3.27535i | −0.0682809 | + | 0.118266i | ||||
\(768\) | 1.12705 | + | 1.95210i | 0.0406688 | + | 0.0704405i | ||||
\(769\) | 6.53771 | − | 11.3236i | 0.235756 | − | 0.408341i | −0.723736 | − | 0.690077i | \(-0.757577\pi\) |
0.959492 | + | 0.281736i | \(0.0909101\pi\) | |||||||
\(770\) | 0.203112 | − | 0.232694i | 0.00731966 | − | 0.00838572i | ||||
\(771\) | −4.53250 | −0.163234 | ||||||||
\(772\) | 4.56289 | + | 7.90316i | 0.164222 | + | 0.284441i | ||||
\(773\) | −6.11348 | − | 10.5889i | −0.219887 | − | 0.380855i | 0.734886 | − | 0.678190i | \(-0.237235\pi\) |
−0.954773 | + | 0.297335i | \(0.903902\pi\) | |||||||
\(774\) | −39.3224 | −1.41341 | ||||||||
\(775\) | −28.0368 | −1.00711 | ||||||||
\(776\) | −16.6407 | − | 28.8225i | −0.597366 | − | 1.03467i | ||||
\(777\) | −0.816625 | − | 0.160464i | −0.0292963 | − | 0.00575663i | ||||
\(778\) | −35.4545 | −1.27111 | ||||||||
\(779\) | 34.6228 | + | 33.0911i | 1.24049 | + | 1.18561i | ||||
\(780\) | 0.0174503 | − | 0.0302247i | 0.000624820 | − | 0.00108222i | ||||
\(781\) | −1.73585 | −0.0621138 | ||||||||
\(782\) | 2.07101 | − | 3.58709i | 0.0740591 | − | 0.128274i | ||||
\(783\) | −3.24923 | + | 5.62783i | −0.116118 | + | 0.201122i | ||||
\(784\) | −16.1349 | − | 6.59557i | −0.576246 | − | 0.235556i | ||||
\(785\) | 0.277324 | − | 0.480339i | 0.00989811 | − | 0.0171440i | ||||
\(786\) | −0.775305 | − | 1.34287i | −0.0276542 | − | 0.0478985i | ||||
\(787\) | 13.7375 | − | 23.7941i | 0.489690 | − | 0.848168i | −0.510240 | − | 0.860032i | \(-0.670443\pi\) |
0.999930 | + | 0.0118645i | \(0.00377668\pi\) | |||||||
\(788\) | −2.17450 | − | 3.76634i | −0.0774633 | − | 0.134170i | ||||
\(789\) | −5.22169 | −0.185897 | ||||||||
\(790\) | 0.561240 | 0.0199680 | ||||||||
\(791\) | −23.2201 | + | 26.6019i | −0.825612 | + | 0.945856i | ||||
\(792\) | −3.92165 | + | 6.79250i | −0.139350 | + | 0.241361i | ||||
\(793\) | −14.0223 | + | 24.2873i | −0.497945 | + | 0.862466i | ||||
\(794\) | 13.3300 | + | 23.0882i | 0.473064 | + | 0.819371i | ||||
\(795\) | 0.161529 | 0.00572885 | ||||||||
\(796\) | 3.26699 | − | 5.65860i | 0.115795 | − | 0.200564i | ||||
\(797\) | −32.4053 | −1.14785 | −0.573927 | − | 0.818907i | \(-0.694581\pi\) | ||||
−0.573927 | + | 0.818907i | \(0.694581\pi\) | |||||||
\(798\) | 1.40217 | + | 1.98925i | 0.0496363 | + | 0.0704186i | ||||
\(799\) | −3.67848 | −0.130135 | ||||||||
\(800\) | −7.94643 | + | 13.7636i | −0.280949 | + | 0.486617i | ||||
\(801\) | −30.4594 | −1.07623 | ||||||||
\(802\) | 15.0553 | + | 26.0766i | 0.531623 | + | 0.920797i | ||||
\(803\) | −0.810671 | + | 1.40412i | −0.0286080 | + | 0.0495505i | ||||
\(804\) | 0.388542 | − | 0.672974i | 0.0137028 | − | 0.0237340i | ||||
\(805\) | −0.0937691 | − | 0.274140i | −0.00330493 | − | 0.00966215i | ||||
\(806\) | −19.7308 | −0.694987 | ||||||||
\(807\) | 1.53675 | 0.0540963 | ||||||||
\(808\) | 17.3654 | + | 30.0778i | 0.610913 | + | 1.05813i | ||||
\(809\) | −5.25814 | + | 9.10737i | −0.184866 | + | 0.320198i | −0.943532 | − | 0.331283i | \(-0.892519\pi\) |
0.758665 | + | 0.651481i | \(0.225852\pi\) | |||||||
\(810\) | 0.592217 | + | 1.02575i | 0.0208084 | + | 0.0360412i | ||||
\(811\) | −9.05864 | + | 15.6900i | −0.318092 | + | 0.550951i | −0.980090 | − | 0.198554i | \(-0.936375\pi\) |
0.661998 | + | 0.749506i | \(0.269709\pi\) | |||||||
\(812\) | 6.24015 | − | 7.14898i | 0.218986 | − | 0.250880i | ||||
\(813\) | −0.780234 | + | 1.35141i | −0.0273640 | + | 0.0473959i | ||||
\(814\) | −0.906630 | + | 1.57033i | −0.0317774 | + | 0.0550400i | ||||
\(815\) | 0.663920 | 0.0232561 | ||||||||
\(816\) | −0.801549 | + | 1.38832i | −0.0280598 | + | 0.0486010i | ||||
\(817\) | −35.0808 | − | 33.5288i | −1.22732 | − | 1.17303i | ||||
\(818\) | 21.6245 | 0.756082 | ||||||||
\(819\) | −7.49745 | − | 21.9192i | −0.261982 | − | 0.765920i | ||||
\(820\) | 0.366505 | + | 0.634805i | 0.0127989 | + | 0.0221684i | ||||
\(821\) | −45.5597 | −1.59004 | −0.795022 | − | 0.606580i | \(-0.792541\pi\) | ||||
−0.795022 | + | 0.606580i | \(0.792541\pi\) | |||||||
\(822\) | −2.14479 | −0.0748081 | ||||||||
\(823\) | −1.88815 | − | 3.27038i | −0.0658169 | − | 0.113998i | 0.831239 | − | 0.555915i | \(-0.187632\pi\) |
−0.897056 | + | 0.441917i | \(0.854299\pi\) | |||||||
\(824\) | 18.0293 | + | 31.2277i | 0.628082 | + | 1.08787i | ||||
\(825\) | 0.760018 | 0.0264604 | ||||||||
\(826\) | −1.30638 | − | 3.81929i | −0.0454549 | − | 0.132890i | ||||
\(827\) | 9.20739 | − | 15.9477i | 0.320172 | − | 0.554555i | −0.660351 | − | 0.750957i | \(-0.729593\pi\) |
0.980523 | + | 0.196402i | \(0.0629258\pi\) | |||||||
\(828\) | 0.831685 | + | 1.44052i | 0.0289030 | + | 0.0500616i | ||||
\(829\) | 4.83519 | − | 8.37479i | 0.167933 | − | 0.290868i | −0.769760 | − | 0.638333i | \(-0.779624\pi\) |
0.937693 | + | 0.347465i | \(0.112957\pi\) | |||||||
\(830\) | 0.951664 | + | 1.64833i | 0.0330327 | + | 0.0572144i | ||||
\(831\) | −2.05790 | + | 3.56439i | −0.0713879 | + | 0.123647i | ||||
\(832\) | −12.9371 | + | 22.4077i | −0.448512 | + | 0.776846i | ||||
\(833\) | 3.43354 | + | 25.1753i | 0.118965 | + | 0.872272i | ||||
\(834\) | −0.711937 | − | 1.23311i | −0.0246524 | − | 0.0426991i | ||||
\(835\) | −1.35757 | − | 2.35137i | −0.0469805 | − | 0.0813726i | ||||
\(836\) | −2.10040 | + | 0.614034i | −0.0726438 | + | 0.0212368i | ||||
\(837\) | 2.97571 | − | 5.15409i | 0.102856 | − | 0.178151i | ||||
\(838\) | 18.4378 | − | 31.9351i | 0.636922 | − | 1.10318i | ||||
\(839\) | 7.85029 | + | 13.5971i | 0.271022 | + | 0.469424i | 0.969124 | − | 0.246575i | \(-0.0793050\pi\) |
−0.698102 | + | 0.715999i | \(0.745972\pi\) | |||||||
\(840\) | 0.0533221 | + | 0.155890i | 0.00183979 | + | 0.00537873i | ||||
\(841\) | −4.34228 | − | 7.52105i | −0.149734 | − | 0.259346i | ||||
\(842\) | 47.5660 | 1.63923 | ||||||||
\(843\) | −0.0168763 | + | 0.0292306i | −0.000581251 | + | 0.00100676i | ||||
\(844\) | 0.158487 | − | 0.274507i | 0.00545534 | − | 0.00944893i | ||||
\(845\) | −0.490996 | −0.0168908 | ||||||||
\(846\) | −1.78976 | + | 3.09996i | −0.0615332 | + | 0.106579i | ||||
\(847\) | 26.6404 | + | 5.23475i | 0.915374 | + | 0.179868i | ||||
\(848\) | −19.8612 | −0.682035 | ||||||||
\(849\) | 4.18287 | 0.143556 | ||||||||
\(850\) | −21.5381 | −0.738750 | ||||||||
\(851\) | 0.850455 | + | 1.47303i | 0.0291532 | + | 0.0504948i | ||||
\(852\) | 0.104670 | − | 0.181293i | 0.00358592 | − | 0.00621099i | ||||
\(853\) | 2.20330 | + | 3.81623i | 0.0754397 | + | 0.130665i | 0.901277 | − | 0.433243i | \(-0.142631\pi\) |
−0.825838 | + | 0.563908i | \(0.809297\pi\) | |||||||
\(854\) | −9.68705 | − | 28.3207i | −0.331484 | − | 0.969113i | ||||
\(855\) | −0.350033 | + | 1.43544i | −0.0119709 | + | 0.0490910i | ||||
\(856\) | 8.58264 | + | 14.8656i | 0.293349 | + | 0.508095i | ||||
\(857\) | −35.1050 | −1.19916 | −0.599582 | − | 0.800313i | \(-0.704667\pi\) | ||||
−0.599582 | + | 0.800313i | \(0.704667\pi\) | |||||||
\(858\) | 0.534859 | 0.0182598 | ||||||||
\(859\) | 21.8081 | 0.744082 | 0.372041 | − | 0.928216i | \(-0.378658\pi\) | ||||
0.372041 | + | 0.928216i | \(0.378658\pi\) | |||||||
\(860\) | −0.371353 | − | 0.643203i | −0.0126630 | − | 0.0219330i | ||||
\(861\) | −5.05918 | − | 0.994113i | −0.172416 | − | 0.0338793i | ||||
\(862\) | 16.2858 | 0.554696 | ||||||||
\(863\) | −13.4958 | − | 23.3754i | −0.459402 | − | 0.795707i | 0.539528 | − | 0.841968i | \(-0.318603\pi\) |
−0.998929 | + | 0.0462609i | \(0.985269\pi\) | |||||||
\(864\) | −1.68680 | − | 2.92163i | −0.0573862 | − | 0.0993958i | ||||
\(865\) | 0.0452443 | + | 0.0783654i | 0.00153835 | + | 0.00266450i | ||||
\(866\) | −0.323667 | − | 0.560608i | −0.0109987 | − | 0.0190502i | ||||
\(867\) | −0.678373 | −0.0230388 | ||||||||
\(868\) | −5.71487 | + | 6.54719i | −0.193975 | + | 0.222226i | ||||
\(869\) | −1.77479 | − | 3.07402i | −0.0602055 | − | 0.104279i | ||||
\(870\) | 0.147925 | 0.00501513 | ||||||||
\(871\) | 22.1188 | 0.749468 | ||||||||
\(872\) | −26.7045 | −0.904328 | ||||||||
\(873\) | 16.0652 | + | 27.8258i | 0.543726 | + | 0.941761i | ||||
\(874\) | 1.17839 | − | 4.83244i | 0.0398598 | − | 0.163460i | ||||
\(875\) | −1.98404 | + | 2.27300i | −0.0670727 | + | 0.0768414i | ||||
\(876\) | −0.0977646 | − | 0.169333i | −0.00330316 | − | 0.00572124i | ||||
\(877\) | −1.86693 | + | 3.23362i | −0.0630419 | + | 0.109192i | −0.895824 | − | 0.444410i | \(-0.853413\pi\) |
0.832782 | + | 0.553601i | \(0.186747\pi\) | |||||||
\(878\) | −21.5198 | − | 37.2735i | −0.726260 | − | 1.25792i | ||||
\(879\) | −4.71669 | −0.159090 | ||||||||
\(880\) | 0.244319 | 0.00823599 | ||||||||
\(881\) | 29.5676 | 0.996156 | 0.498078 | − | 0.867132i | \(-0.334039\pi\) | ||||
0.498078 | + | 0.867132i | \(0.334039\pi\) | |||||||
\(882\) | 22.8865 | + | 9.35548i | 0.770629 | + | 0.315016i | ||||
\(883\) | −19.7110 | + | 34.1405i | −0.663328 | + | 1.14892i | 0.316407 | + | 0.948623i | \(0.397523\pi\) |
−0.979736 | + | 0.200295i | \(0.935810\pi\) | |||||||
\(884\) | 6.25522 | 0.210386 | ||||||||
\(885\) | −0.0129839 | + | 0.0224888i | −0.000436450 | + | 0.000755953i | ||||
\(886\) | 16.8595 | − | 29.2015i | 0.566405 | − | 0.981043i | ||||
\(887\) | 11.9097 | 0.399887 | 0.199943 | − | 0.979807i | \(-0.435924\pi\) | ||||
0.199943 | + | 0.979807i | \(0.435924\pi\) | |||||||
\(888\) | −0.483613 | − | 0.837643i | −0.0162290 | − | 0.0281095i | ||||
\(889\) | 9.80260 | + | 28.6585i | 0.328769 | + | 0.961175i | ||||
\(890\) | 0.697024 | + | 1.20728i | 0.0233643 | + | 0.0404682i | ||||
\(891\) | 3.74549 | − | 6.48737i | 0.125479 | − | 0.217335i | ||||
\(892\) | −0.223692 | + | 0.387445i | −0.00748975 | + | 0.0129726i | ||||
\(893\) | −4.23993 | + | 1.23951i | −0.141884 | + | 0.0414785i | ||||
\(894\) | 0.248374 | + | 0.430196i | 0.00830686 | + | 0.0143879i | ||||
\(895\) | 0.655713 | + | 1.13573i | 0.0219181 | + | 0.0379632i | ||||
\(896\) | −3.47970 | − | 10.1731i | −0.116249 | − | 0.339860i | ||||
\(897\) | 0.250859 | − | 0.434501i | 0.00837595 | − | 0.0145076i | ||||
\(898\) | −10.9006 | + | 18.8804i | −0.363758 | + | 0.630047i | ||||
\(899\) | 17.2562 | + | 29.8886i | 0.575526 | + | 0.996840i | ||||
\(900\) | 4.32468 | − | 7.49057i | 0.144156 | − | 0.249686i | ||||
\(901\) | 14.4754 | + | 25.0722i | 0.482247 | + | 0.835276i | ||||
\(902\) | −5.61677 | + | 9.72854i | −0.187018 | + | 0.323925i | ||||
\(903\) | 5.12610 | + | 1.00726i | 0.170586 | + | 0.0335196i | ||||
\(904\) | −41.0377 | −1.36490 | ||||||||
\(905\) | 1.23851 | + | 2.14516i | 0.0411694 | + | 0.0713075i | ||||
\(906\) | 0.434722 | + | 0.752961i | 0.0144427 | + | 0.0250154i | ||||
\(907\) | 26.4040 | 0.876732 | 0.438366 | − | 0.898797i | \(-0.355557\pi\) | ||||
0.438366 | + | 0.898797i | \(0.355557\pi\) | |||||||
\(908\) | 6.72245 | 0.223092 | ||||||||
\(909\) | −16.7649 | − | 29.0376i | −0.556056 | − | 0.963117i | ||||
\(910\) | −0.697217 | + | 0.798761i | −0.0231125 | + | 0.0264787i | ||||
\(911\) | −40.5642 | −1.34395 | −0.671975 | − | 0.740574i | \(-0.734554\pi\) | ||||
−0.671975 | + | 0.740574i | \(0.734554\pi\) | |||||||
\(912\) | −0.456078 | + | 1.87032i | −0.0151023 | + | 0.0619324i | ||||
\(913\) | 6.01882 | − | 10.4249i | 0.199194 | − | 0.345014i | ||||
\(914\) | 19.5967 | 0.648200 | ||||||||
\(915\) | −0.0962779 | + | 0.166758i | −0.00318285 | + | 0.00551286i | ||||
\(916\) | 6.63534 | − | 11.4927i | 0.219238 | − | 0.379731i | ||||
\(917\) | −6.29160 | − | 18.3939i | −0.207767 | − | 0.607420i | ||||
\(918\) | 2.28596 | − | 3.95940i | 0.0754480 | − | 0.130680i | ||||
\(919\) | 10.6711 | + | 18.4828i | 0.352006 | + | 0.609693i | 0.986601 | − | 0.163152i | \(-0.0521662\pi\) |
−0.634595 | + | 0.772845i | \(0.718833\pi\) | |||||||
\(920\) | 0.168363 | − | 0.291613i | 0.00555077 | − | 0.00961421i | ||||
\(921\) | 1.68200 | + | 2.91331i | 0.0554239 | + | 0.0959970i | ||||
\(922\) | −21.4896 | −0.707723 | ||||||||
\(923\) | 5.95861 | 0.196130 | ||||||||
\(924\) | 0.154918 | − | 0.177480i | 0.00509642 | − | 0.00583867i | ||||
\(925\) | 4.42228 | − | 7.65962i | 0.145404 | − | 0.251847i | ||||
\(926\) | 2.57151 | − | 4.45399i | 0.0845052 | − | 0.146367i | ||||
\(927\) | −17.4058 | − | 30.1478i | −0.571683 | − | 0.990184i | ||||
\(928\) | 19.5635 | 0.642205 | ||||||||
\(929\) | 16.6990 | − | 28.9235i | 0.547876 | − | 0.948950i | −0.450543 | − | 0.892755i | \(-0.648770\pi\) |
0.998420 | − | 0.0561953i | \(-0.0178969\pi\) | |||||||
\(930\) | −0.135473 | −0.00444234 | ||||||||
\(931\) | 12.4407 | + | 27.8609i | 0.407728 | + | 0.913103i | ||||
\(932\) | −1.45063 | −0.0475171 | ||||||||
\(933\) | −2.64339 | + | 4.57848i | −0.0865406 | + | 0.149893i | ||||
\(934\) | 44.3993 | 1.45279 | ||||||||
\(935\) | −0.178067 | − | 0.308422i | −0.00582343 | − | 0.0100865i | ||||
\(936\) | 13.4617 | − | 23.3164i | 0.440010 | − | 0.762120i | ||||
\(937\) | 17.8073 | − | 30.8432i | 0.581741 | − | 1.00760i | −0.413533 | − | 0.910489i | \(-0.635705\pi\) |
0.995273 | − | 0.0971149i | \(-0.0309614\pi\) | |||||||
\(938\) | −15.5240 | + | 17.7850i | −0.506876 | + | 0.580699i | ||||
\(939\) | 2.96621 | 0.0967985 | ||||||||
\(940\) | −0.0676086 | −0.00220515 | ||||||||
\(941\) | 7.06111 | + | 12.2302i | 0.230186 | + | 0.398693i | 0.957863 | − | 0.287227i | \(-0.0927334\pi\) |
−0.727677 | + | 0.685920i | \(0.759400\pi\) | |||||||
\(942\) | −0.512544 | + | 0.887752i | −0.0166996 | + | 0.0289245i | ||||
\(943\) | 5.26876 | + | 9.12575i | 0.171574 | + | 0.297175i | ||||
\(944\) | 1.59646 | − | 2.76516i | 0.0519605 | − | 0.0899982i | ||||
\(945\) | −0.103502 | − | 0.302593i | −0.00336691 | − | 0.00984336i | ||||
\(946\) | 5.69108 | − | 9.85723i | 0.185033 | − | 0.320486i | ||||
\(947\) | 4.38492 | − | 7.59490i | 0.142491 | − | 0.246801i | −0.785943 | − | 0.618299i | \(-0.787822\pi\) |
0.928434 | + | 0.371497i | \(0.121156\pi\) | |||||||
\(948\) | 0.428068 | 0.0139030 | ||||||||
\(949\) | 2.78276 | − | 4.81989i | 0.0903323 | − | 0.156460i | ||||
\(950\) | −24.8255 | + | 7.25751i | −0.805444 | + | 0.235465i | ||||
\(951\) | 1.62768 | 0.0527811 | ||||||||
\(952\) | −19.4185 | + | 22.2466i | −0.629356 | + | 0.721017i | ||||
\(953\) | −9.93545 | − | 17.2087i | −0.321841 | − | 0.557445i | 0.659027 | − | 0.752119i | \(-0.270968\pi\) |
−0.980868 | + | 0.194675i | \(0.937635\pi\) | |||||||
\(954\) | 28.1721 | 0.912104 | ||||||||
\(955\) | −2.11150 | −0.0683265 | ||||||||
\(956\) | −6.61039 | − | 11.4495i | −0.213795 | − | 0.370305i | ||||
\(957\) | −0.467778 | − | 0.810215i | −0.0151211 | − | 0.0261905i | ||||
\(958\) | 42.4464 | 1.37138 | ||||||||
\(959\) | −26.3849 | − | 5.18454i | −0.852012 | − | 0.167418i | ||||
\(960\) | −0.0888270 | + | 0.153853i | −0.00286688 | + | 0.00496558i | ||||
\(961\) | −0.303597 | − | 0.525845i | −0.00979344 | − | 0.0169627i | ||||
\(962\) | 3.11216 | − | 5.39041i | 0.100340 | − | 0.173794i | ||||
\(963\) | −8.28584 | − | 14.3515i | −0.267007 | − | 0.462470i | ||||
\(964\) | 6.15192 | − | 10.6554i | 0.198140 | − | 0.343188i | ||||
\(965\) | −0.891751 | + | 1.54456i | −0.0287065 | + | 0.0497211i | ||||
\(966\) | 0.173302 | + | 0.506659i | 0.00557590 | + | 0.0163015i | ||||
\(967\) | −1.17266 | − | 2.03111i | −0.0377103 | − | 0.0653162i | 0.846554 | − | 0.532302i | \(-0.178673\pi\) |
−0.884265 | + | 0.466986i | \(0.845340\pi\) | |||||||
\(968\) | 15.7767 | + | 27.3260i | 0.507082 | + | 0.878291i | ||||
\(969\) | 2.69344 | − | 0.787405i | 0.0865259 | − | 0.0252951i | ||||
\(970\) | 0.735265 | − | 1.27352i | 0.0236079 | − | 0.0408901i | ||||
\(971\) | 9.46204 | − | 16.3887i | 0.303651 | − | 0.525939i | −0.673309 | − | 0.739361i | \(-0.735128\pi\) |
0.976960 | + | 0.213422i | \(0.0684609\pi\) | |||||||
\(972\) | 1.37943 | + | 2.38924i | 0.0442453 | + | 0.0766350i | ||||
\(973\) | −5.77737 | − | 16.8905i | −0.185214 | − | 0.541484i | ||||
\(974\) | 24.0204 | + | 41.6045i | 0.769663 | + | 1.33309i | ||||
\(975\) | −2.60889 | −0.0835513 | ||||||||
\(976\) | 11.8380 | − | 20.5041i | 0.378927 | − | 0.656320i | ||||
\(977\) | 9.89232 | − | 17.1340i | 0.316483 | − | 0.548165i | −0.663268 | − | 0.748382i | \(-0.730831\pi\) |
0.979752 | + | 0.200216i | \(0.0641646\pi\) | |||||||
\(978\) | −1.22704 | −0.0392365 | ||||||||
\(979\) | 4.40834 | − | 7.63547i | 0.140891 | − | 0.244031i | ||||
\(980\) | 0.0631068 | + | 0.462710i | 0.00201587 | + | 0.0147807i | ||||
\(981\) | 25.7810 | 0.823123 | ||||||||
\(982\) | −29.3418 | −0.936334 | ||||||||
\(983\) | 40.3570 | 1.28719 | 0.643594 | − | 0.765367i | \(-0.277442\pi\) | ||||
0.643594 | + | 0.765367i | \(0.277442\pi\) | |||||||
\(984\) | −2.99609 | − | 5.18938i | −0.0955119 | − | 0.165432i | ||||
\(985\) | 0.424974 | − | 0.736077i | 0.0135408 | − | 0.0234534i | ||||
\(986\) | 13.2563 | + | 22.9606i | 0.422167 | + | 0.731214i | ||||
\(987\) | 0.312722 | − | 0.358267i | 0.00995404 | − | 0.0114038i | ||||
\(988\) | 7.20996 | − | 2.10777i | 0.229379 | − | 0.0670572i | ||||
\(989\) | −5.33845 | − | 9.24647i | −0.169753 | − | 0.294021i | ||||
\(990\) | −0.346554 | −0.0110142 | ||||||||
\(991\) | 3.76412 | 0.119571 | 0.0597856 | − | 0.998211i | \(-0.480958\pi\) | ||||
0.0597856 | + | 0.998211i | \(0.480958\pi\) | |||||||
\(992\) | −17.9167 | −0.568857 | ||||||||
\(993\) | −1.49331 | − | 2.58650i | −0.0473889 | − | 0.0820799i | ||||
\(994\) | −4.18202 | + | 4.79110i | −0.132646 | + | 0.151964i | ||||
\(995\) | 1.27697 | 0.0404828 | ||||||||
\(996\) | 0.725852 | + | 1.25721i | 0.0229995 | + | 0.0398363i | ||||
\(997\) | 15.7182 | + | 27.2247i | 0.497799 | + | 0.862213i | 0.999997 | − | 0.00253949i | \(-0.000808345\pi\) |
−0.502198 | + | 0.864753i | \(0.667475\pi\) | |||||||
\(998\) | −23.1690 | − | 40.1299i | −0.733402 | − | 1.27029i | ||||
\(999\) | 0.938726 | + | 1.62592i | 0.0297000 | + | 0.0514418i |
(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 | 133.2.g.a.102.9 | yes | 24 | |
7.2 | even | 3 | 133.2.h.a.121.4 | yes | 24 | ||
7.3 | odd | 6 | 931.2.e.e.197.9 | 24 | |||
7.4 | even | 3 | 931.2.e.f.197.9 | 24 | |||
7.5 | odd | 6 | 931.2.h.h.520.4 | 24 | |||
7.6 | odd | 2 | 931.2.g.h.900.9 | 24 | |||
19.11 | even | 3 | 133.2.h.a.11.4 | yes | 24 | ||
133.11 | even | 3 | 931.2.e.f.638.9 | 24 | |||
133.30 | even | 3 | inner | 133.2.g.a.30.9 | ✓ | 24 | |
133.68 | odd | 6 | 931.2.g.h.30.9 | 24 | |||
133.87 | odd | 6 | 931.2.e.e.638.9 | 24 | |||
133.125 | odd | 6 | 931.2.h.h.410.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
133.2.g.a.30.9 | ✓ | 24 | 133.30 | even | 3 | inner | |
133.2.g.a.102.9 | yes | 24 | 1.1 | even | 1 | trivial | |
133.2.h.a.11.4 | yes | 24 | 19.11 | even | 3 | ||
133.2.h.a.121.4 | yes | 24 | 7.2 | even | 3 | ||
931.2.e.e.197.9 | 24 | 7.3 | odd | 6 | |||
931.2.e.e.638.9 | 24 | 133.87 | odd | 6 | |||
931.2.e.f.197.9 | 24 | 7.4 | even | 3 | |||
931.2.e.f.638.9 | 24 | 133.11 | even | 3 | |||
931.2.g.h.30.9 | 24 | 133.68 | odd | 6 | |||
931.2.g.h.900.9 | 24 | 7.6 | odd | 2 | |||
931.2.h.h.410.4 | 24 | 133.125 | odd | 6 | |||
931.2.h.h.520.4 | 24 | 7.5 | odd | 6 |