Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 103.8 | ||
Character | \(\chi\) | \(=\) | 175.103 |
Dual form | 175.2.x.a.17.8 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.802384 | − | 0.0420512i | −0.567371 | − | 0.0297347i | −0.233506 | − | 0.972355i | \(-0.575020\pi\) |
−0.333865 | + | 0.942621i | \(0.608353\pi\) | |||||||
\(3\) | −1.97492 | − | 2.43882i | −1.14022 | − | 1.40805i | −0.899203 | − | 0.437531i | \(-0.855853\pi\) |
−0.241015 | − | 0.970521i | \(-0.577480\pi\) | |||||||
\(4\) | −1.34699 | − | 0.141575i | −0.673496 | − | 0.0707873i | ||||
\(5\) | −1.30893 | − | 1.81293i | −0.585372 | − | 0.810765i | ||||
\(6\) | 1.48209 | + | 2.03992i | 0.605059 | + | 0.832792i | ||||
\(7\) | 2.52724 | + | 0.782993i | 0.955205 | + | 0.295944i | ||||
\(8\) | 2.66204 | + | 0.421625i | 0.941172 | + | 0.149067i | ||||
\(9\) | −1.42381 | + | 6.69848i | −0.474602 | + | 2.23283i | ||||
\(10\) | 0.974030 | + | 1.50970i | 0.308015 | + | 0.477410i | ||||
\(11\) | −4.90608 | + | 1.04282i | −1.47924 | + | 0.314422i | −0.875678 | − | 0.482895i | \(-0.839585\pi\) |
−0.603560 | + | 0.797317i | \(0.706252\pi\) | |||||||
\(12\) | 2.31492 | + | 3.56467i | 0.668260 | + | 1.02903i | ||||
\(13\) | −0.816789 | − | 0.416175i | −0.226536 | − | 0.115426i | 0.337039 | − | 0.941491i | \(-0.390575\pi\) |
−0.563575 | + | 0.826065i | \(0.690575\pi\) | |||||||
\(14\) | −1.99489 | − | 0.734535i | −0.533156 | − | 0.196313i | ||||
\(15\) | −1.83636 | + | 6.77262i | −0.474147 | + | 1.74868i | ||||
\(16\) | 0.531383 | + | 0.112949i | 0.132846 | + | 0.0282372i | ||||
\(17\) | 0.185757 | + | 0.483913i | 0.0450526 | + | 0.117366i | 0.954261 | − | 0.298976i | \(-0.0966451\pi\) |
−0.909208 | + | 0.416342i | \(0.863312\pi\) | |||||||
\(18\) | 1.42412 | − | 5.31488i | 0.335668 | − | 1.25273i | ||||
\(19\) | −0.116377 | − | 1.10725i | −0.0266987 | − | 0.254022i | −0.999728 | − | 0.0233383i | \(-0.992571\pi\) |
0.973029 | − | 0.230683i | \(-0.0740961\pi\) | |||||||
\(20\) | 1.50646 | + | 2.62731i | 0.336854 | + | 0.587484i | ||||
\(21\) | −3.08150 | − | 7.70982i | −0.672439 | − | 1.68242i | ||||
\(22\) | 3.98041 | − | 0.630435i | 0.848626 | − | 0.134409i | ||||
\(23\) | 0.270445 | − | 5.16039i | 0.0563916 | − | 1.07602i | −0.813118 | − | 0.582099i | \(-0.802232\pi\) |
0.869509 | − | 0.493916i | \(-0.164435\pi\) | |||||||
\(24\) | −4.22903 | − | 7.32490i | −0.863248 | − | 1.49519i | ||||
\(25\) | −1.57340 | + | 4.74599i | −0.314679 | + | 0.949198i | ||||
\(26\) | 0.637878 | + | 0.368279i | 0.125098 | + | 0.0722254i | ||||
\(27\) | 10.7599 | − | 5.48243i | 2.07074 | − | 1.05509i | ||||
\(28\) | −3.29331 | − | 1.41248i | −0.622378 | − | 0.266933i | ||||
\(29\) | −3.39698 | + | 4.67555i | −0.630804 | + | 0.868227i | −0.998083 | − | 0.0618834i | \(-0.980289\pi\) |
0.367279 | + | 0.930111i | \(0.380289\pi\) | |||||||
\(30\) | 1.75827 | − | 5.35702i | 0.321014 | − | 0.978054i | ||||
\(31\) | −0.139259 | + | 0.312781i | −0.0250116 | + | 0.0561771i | −0.925619 | − | 0.378456i | \(-0.876455\pi\) |
0.900608 | + | 0.434633i | \(0.143122\pi\) | |||||||
\(32\) | −5.62839 | − | 1.50812i | −0.994968 | − | 0.266601i | ||||
\(33\) | 12.2323 | + | 9.90555i | 2.12938 | + | 1.72434i | ||||
\(34\) | −0.128699 | − | 0.396095i | −0.0220717 | − | 0.0679298i | ||||
\(35\) | −1.88847 | − | 5.60657i | −0.319210 | − | 0.947684i | ||||
\(36\) | 2.86619 | − | 8.82122i | 0.477698 | − | 1.47020i | ||||
\(37\) | −5.35336 | + | 3.47651i | −0.880086 | + | 0.571535i | −0.903690 | − | 0.428187i | \(-0.859153\pi\) |
0.0236039 | + | 0.999721i | \(0.492486\pi\) | |||||||
\(38\) | 0.0468178 | + | 0.893337i | 0.00759485 | + | 0.144918i | ||||
\(39\) | 0.598115 | + | 2.81391i | 0.0957751 | + | 0.450586i | ||||
\(40\) | −2.72005 | − | 5.37795i | −0.430078 | − | 0.850329i | ||||
\(41\) | −6.75808 | + | 2.19583i | −1.05543 | + | 0.342931i | −0.784799 | − | 0.619750i | \(-0.787234\pi\) |
−0.270635 | + | 0.962682i | \(0.587234\pi\) | |||||||
\(42\) | 2.14834 | + | 6.31581i | 0.331496 | + | 0.974551i | ||||
\(43\) | −3.02167 | − | 3.02167i | −0.460800 | − | 0.460800i | 0.438118 | − | 0.898918i | \(-0.355645\pi\) |
−0.898918 | + | 0.438118i | \(0.855645\pi\) | |||||||
\(44\) | 6.75609 | − | 0.710093i | 1.01852 | − | 0.107051i | ||||
\(45\) | 14.0075 | − | 6.18660i | 2.08812 | − | 0.922244i | ||||
\(46\) | −0.434001 | + | 4.12924i | −0.0639899 | + | 0.608824i | ||||
\(47\) | −11.9164 | − | 4.57426i | −1.73818 | − | 0.667225i | −0.738207 | − | 0.674574i | \(-0.764327\pi\) |
−0.999973 | + | 0.00734880i | \(0.997661\pi\) | |||||||
\(48\) | −0.773974 | − | 1.51901i | −0.111714 | − | 0.219250i | ||||
\(49\) | 5.77384 | + | 3.95762i | 0.824835 | + | 0.565374i | ||||
\(50\) | 1.46204 | − | 3.74194i | 0.206764 | − | 0.529191i | ||||
\(51\) | 0.813322 | − | 1.40871i | 0.113888 | − | 0.197260i | ||||
\(52\) | 1.04129 | + | 0.676221i | 0.144401 | + | 0.0937749i | ||||
\(53\) | 4.55606 | − | 3.68942i | 0.625822 | − | 0.506781i | −0.263142 | − | 0.964757i | \(-0.584759\pi\) |
0.888965 | + | 0.457976i | \(0.151425\pi\) | |||||||
\(54\) | −8.86410 | + | 3.94655i | −1.20625 | + | 0.537057i | ||||
\(55\) | 8.31228 | + | 7.52937i | 1.12083 | + | 1.01526i | ||||
\(56\) | 6.39747 | + | 3.14990i | 0.854897 | + | 0.420924i | ||||
\(57\) | −2.47056 | + | 2.47056i | −0.327233 | + | 0.327233i | ||||
\(58\) | 2.92230 | − | 3.60874i | 0.383717 | − | 0.473850i | ||||
\(59\) | 5.88478 | − | 6.53571i | 0.766133 | − | 0.850876i | −0.226250 | − | 0.974069i | \(-0.572647\pi\) |
0.992383 | + | 0.123193i | \(0.0393134\pi\) | |||||||
\(60\) | 3.43240 | − | 8.86268i | 0.443121 | − | 1.14417i | ||||
\(61\) | −1.07623 | + | 0.969040i | −0.137797 | + | 0.124073i | −0.735147 | − | 0.677908i | \(-0.762887\pi\) |
0.597350 | + | 0.801981i | \(0.296220\pi\) | |||||||
\(62\) | 0.124892 | − | 0.245114i | 0.0158613 | − | 0.0311295i | ||||
\(63\) | −8.84316 | + | 15.8138i | −1.11413 | + | 1.99235i | ||||
\(64\) | 3.41938 | + | 1.11102i | 0.427422 | + | 0.138878i | ||||
\(65\) | 0.314627 | + | 2.02552i | 0.0390247 | + | 0.251235i | ||||
\(66\) | −9.39849 | − | 8.46244i | −1.15687 | − | 1.04165i | ||||
\(67\) | 1.31334 | − | 0.504146i | 0.160451 | − | 0.0615912i | −0.276817 | − | 0.960923i | \(-0.589280\pi\) |
0.437268 | + | 0.899331i | \(0.355946\pi\) | |||||||
\(68\) | −0.181703 | − | 0.678125i | −0.0220347 | − | 0.0822348i | ||||
\(69\) | −13.1194 | + | 9.53177i | −1.57939 | + | 1.14749i | ||||
\(70\) | 1.27952 | + | 4.57804i | 0.152931 | + | 0.547180i | ||||
\(71\) | −6.16371 | − | 4.47820i | −0.731498 | − | 0.531465i | 0.158539 | − | 0.987353i | \(-0.449322\pi\) |
−0.890037 | + | 0.455888i | \(0.849322\pi\) | |||||||
\(72\) | −6.61447 | + | 17.2313i | −0.779523 | + | 2.03073i | ||||
\(73\) | −0.656834 | + | 1.01144i | −0.0768766 | + | 0.118380i | −0.875018 | − | 0.484091i | \(-0.839150\pi\) |
0.798141 | + | 0.602471i | \(0.205817\pi\) | |||||||
\(74\) | 4.44164 | − | 2.56438i | 0.516330 | − | 0.298103i | ||||
\(75\) | 14.6819 | − | 5.53571i | 1.69532 | − | 0.639209i | ||||
\(76\) | 1.50794i | 0.172972i | ||||||||
\(77\) | −13.2153 | − | 1.20598i | −1.50603 | − | 0.137434i | ||||
\(78\) | −0.361590 | − | 2.28299i | −0.0409420 | − | 0.258497i | ||||
\(79\) | 1.97771 | + | 4.44201i | 0.222510 | + | 0.499765i | 0.989961 | − | 0.141343i | \(-0.0451420\pi\) |
−0.767451 | + | 0.641107i | \(0.778475\pi\) | |||||||
\(80\) | −0.490776 | − | 1.11120i | −0.0548704 | − | 0.124236i | ||||
\(81\) | −15.8523 | − | 7.05789i | −1.76136 | − | 0.784210i | ||||
\(82\) | 5.51491 | − | 1.47772i | 0.609020 | − | 0.163186i | ||||
\(83\) | 0.543025 | − | 3.42852i | 0.0596047 | − | 0.376329i | −0.939797 | − | 0.341734i | \(-0.888986\pi\) |
0.999401 | − | 0.0345952i | \(-0.0110142\pi\) | |||||||
\(84\) | 3.05924 | + | 10.8213i | 0.333791 | + | 1.18070i | ||||
\(85\) | 0.634155 | − | 0.970172i | 0.0687838 | − | 0.105230i | ||||
\(86\) | 2.29747 | + | 2.55160i | 0.247743 | + | 0.275146i | ||||
\(87\) | 18.1116 | − | 0.949187i | 1.94176 | − | 0.101764i | ||||
\(88\) | −13.4998 | + | 0.707497i | −1.43909 | + | 0.0754194i | ||||
\(89\) | −2.10268 | − | 2.33526i | −0.222884 | − | 0.247537i | 0.621324 | − | 0.783554i | \(-0.286595\pi\) |
−0.844208 | + | 0.536016i | \(0.819929\pi\) | |||||||
\(90\) | −11.4996 | + | 4.37500i | −1.21216 | + | 0.461165i | ||||
\(91\) | −1.73836 | − | 1.69131i | −0.182229 | − | 0.177298i | ||||
\(92\) | −1.09487 | + | 6.91272i | −0.114148 | + | 0.720700i | ||||
\(93\) | 1.03784 | − | 0.278088i | 0.107619 | − | 0.0288364i | ||||
\(94\) | 9.36915 | + | 4.17141i | 0.966354 | + | 0.430248i | ||||
\(95\) | −1.85504 | + | 1.66030i | −0.190323 | + | 0.170344i | ||||
\(96\) | 7.43756 | + | 16.7050i | 0.759093 | + | 1.70495i | ||||
\(97\) | 0.557021 | + | 3.51689i | 0.0565569 | + | 0.357086i | 0.999695 | + | 0.0246858i | \(0.00785852\pi\) |
−0.943138 | + | 0.332400i | \(0.892141\pi\) | |||||||
\(98\) | −4.46642 | − | 3.41833i | −0.451176 | − | 0.345303i | ||||
\(99\) | − | 34.3480i | − | 3.45211i | ||||||
\(100\) | 2.79126 | − | 6.17006i | 0.279126 | − | 0.617006i | ||||
\(101\) | −8.57568 | + | 4.95117i | −0.853312 | + | 0.492660i | −0.861767 | − | 0.507304i | \(-0.830642\pi\) |
0.00845468 | + | 0.999964i | \(0.497309\pi\) | |||||||
\(102\) | −0.711834 | + | 1.09613i | −0.0704821 | + | 0.108533i | ||||
\(103\) | 2.66143 | − | 6.93326i | 0.262238 | − | 0.683154i | −0.737729 | − | 0.675097i | \(-0.764102\pi\) |
0.999968 | − | 0.00805736i | \(-0.00256477\pi\) | |||||||
\(104\) | −1.99885 | − | 1.45225i | −0.196004 | − | 0.142405i | ||||
\(105\) | −9.94384 | + | 15.6782i | −0.970420 | + | 1.53003i | ||||
\(106\) | −3.81085 | + | 2.76875i | −0.370143 | + | 0.268924i | ||||
\(107\) | 0.403711 | + | 1.50667i | 0.0390282 | + | 0.145655i | 0.982691 | − | 0.185255i | \(-0.0593110\pi\) |
−0.943662 | + | 0.330910i | \(0.892644\pi\) | |||||||
\(108\) | −15.2696 | + | 5.86147i | −1.46932 | + | 0.564020i | ||||
\(109\) | −4.44021 | − | 3.99798i | −0.425295 | − | 0.382937i | 0.428504 | − | 0.903540i | \(-0.359041\pi\) |
−0.853799 | + | 0.520603i | \(0.825707\pi\) | |||||||
\(110\) | −6.35302 | − | 6.39099i | −0.605736 | − | 0.609357i | ||||
\(111\) | 19.0510 | + | 6.19005i | 1.80824 | + | 0.587533i | ||||
\(112\) | 1.25449 | + | 0.701517i | 0.118538 | + | 0.0662872i | ||||
\(113\) | 1.14628 | − | 2.24970i | 0.107833 | − | 0.211634i | −0.830784 | − | 0.556595i | \(-0.812108\pi\) |
0.938617 | + | 0.344960i | \(0.112108\pi\) | |||||||
\(114\) | 2.08623 | − | 1.87845i | 0.195393 | − | 0.175933i | ||||
\(115\) | −9.70939 | + | 6.26430i | −0.905406 | + | 0.584149i | ||||
\(116\) | 5.23765 | − | 5.81700i | 0.486303 | − | 0.540095i | ||||
\(117\) | 3.95069 | − | 4.87869i | 0.365241 | − | 0.451035i | ||||
\(118\) | −4.99668 | + | 4.99668i | −0.459982 | + | 0.459982i | ||||
\(119\) | 0.0905506 | + | 1.36841i | 0.00830076 | + | 0.125442i | ||||
\(120\) | −7.74398 | + | 17.2547i | −0.706925 | + | 1.57513i | ||||
\(121\) | 12.9331 | − | 5.75820i | 1.17574 | − | 0.523473i | ||||
\(122\) | 0.904298 | − | 0.732286i | 0.0818713 | − | 0.0662981i | ||||
\(123\) | 18.7019 | + | 12.1451i | 1.68629 | + | 1.09509i | ||||
\(124\) | 0.231863 | − | 0.401598i | 0.0208219 | − | 0.0360645i | ||||
\(125\) | 10.6636 | − | 3.35973i | 0.953781 | − | 0.300503i | ||||
\(126\) | 7.76060 | − | 12.3169i | 0.691369 | − | 1.09728i | ||||
\(127\) | −4.18519 | − | 8.21389i | −0.371375 | − | 0.728865i | 0.627381 | − | 0.778712i | \(-0.284127\pi\) |
−0.998757 | + | 0.0498468i | \(0.984127\pi\) | |||||||
\(128\) | 8.18289 | + | 3.14112i | 0.723272 | + | 0.277638i | ||||
\(129\) | −1.40176 | + | 13.3368i | −0.123418 | + | 1.17424i | ||||
\(130\) | −0.167276 | − | 1.63848i | −0.0146711 | − | 0.143704i | ||||
\(131\) | 5.58590 | − | 0.587102i | 0.488043 | − | 0.0512953i | 0.142688 | − | 0.989768i | \(-0.454425\pi\) |
0.345354 | + | 0.938472i | \(0.387759\pi\) | |||||||
\(132\) | −15.0745 | − | 15.0745i | −1.31207 | − | 1.31207i | ||||
\(133\) | 0.572860 | − | 2.88942i | 0.0496733 | − | 0.250544i | ||||
\(134\) | −1.07501 | + | 0.349291i | −0.0928664 | + | 0.0301741i | ||||
\(135\) | −24.0232 | − | 12.3307i | −2.06759 | − | 1.06126i | ||||
\(136\) | 0.290462 | + | 1.36651i | 0.0249069 | + | 0.117178i | ||||
\(137\) | 0.226254 | + | 4.31718i | 0.0193302 | + | 0.368841i | 0.991118 | + | 0.132985i | \(0.0424562\pi\) |
−0.971788 | + | 0.235857i | \(0.924210\pi\) | |||||||
\(138\) | 10.9276 | − | 7.09646i | 0.930218 | − | 0.604091i | ||||
\(139\) | 1.99140 | − | 6.12890i | 0.168908 | − | 0.519847i | −0.830395 | − | 0.557176i | \(-0.811885\pi\) |
0.999303 | + | 0.0373290i | \(0.0118849\pi\) | |||||||
\(140\) | 1.75001 | + | 7.81937i | 0.147903 | + | 0.660857i | ||||
\(141\) | 12.3780 | + | 38.0956i | 1.04242 | + | 3.20823i | ||||
\(142\) | 4.75735 | + | 3.85243i | 0.399228 | + | 0.323289i | ||||
\(143\) | 4.44123 | + | 1.19002i | 0.371394 | + | 0.0995147i | ||||
\(144\) | −1.51317 | + | 3.39864i | −0.126098 | + | 0.283220i | ||||
\(145\) | 12.9228 | + | 0.0385051i | 1.07318 | + | 0.00319767i | ||||
\(146\) | 0.569565 | − | 0.783939i | 0.0471376 | − | 0.0648793i | ||||
\(147\) | −1.75094 | − | 21.8973i | −0.144415 | − | 1.80606i | ||||
\(148\) | 7.70311 | − | 3.92493i | 0.633192 | − | 0.322627i | ||||
\(149\) | 1.92554 | + | 1.11171i | 0.157746 | + | 0.0910749i | 0.576795 | − | 0.816889i | \(-0.304303\pi\) |
−0.419049 | + | 0.907964i | \(0.637636\pi\) | |||||||
\(150\) | −12.0133 | + | 3.82437i | −0.980884 | + | 0.312259i | ||||
\(151\) | 6.19286 | + | 10.7263i | 0.503968 | + | 0.872897i | 0.999989 | + | 0.00458736i | \(0.00146021\pi\) |
−0.496022 | + | 0.868310i | \(0.665206\pi\) | |||||||
\(152\) | 0.157046 | − | 2.99662i | 0.0127381 | − | 0.243058i | ||||
\(153\) | −3.50596 | + | 0.555290i | −0.283440 | + | 0.0448925i | ||||
\(154\) | 10.5531 | + | 1.52338i | 0.850390 | + | 0.122757i | ||||
\(155\) | 0.749329 | − | 0.156943i | 0.0601875 | − | 0.0126059i | ||||
\(156\) | −0.407278 | − | 3.87499i | −0.0326083 | − | 0.310248i | ||||
\(157\) | 4.35511 | − | 16.2535i | 0.347576 | − | 1.29717i | −0.541998 | − | 0.840380i | \(-0.682332\pi\) |
0.889574 | − | 0.456791i | \(-0.151001\pi\) | |||||||
\(158\) | −1.40009 | − | 3.64736i | −0.111385 | − | 0.290168i | ||||
\(159\) | −17.9957 | − | 3.82509i | −1.42715 | − | 0.303350i | ||||
\(160\) | 4.63306 | + | 12.1779i | 0.366276 | + | 0.962746i | ||||
\(161\) | 4.72403 | − | 12.8298i | 0.372306 | − | 1.01113i | ||||
\(162\) | 12.4228 | + | 6.32974i | 0.976029 | + | 0.497312i | ||||
\(163\) | −9.91155 | − | 15.2625i | −0.776333 | − | 1.19545i | −0.976464 | − | 0.215679i | \(-0.930804\pi\) |
0.200132 | − | 0.979769i | \(-0.435863\pi\) | |||||||
\(164\) | 9.41395 | − | 2.00100i | 0.735106 | − | 0.156252i | ||||
\(165\) | 1.94673 | − | 35.1420i | 0.151553 | − | 2.73580i | ||||
\(166\) | −0.579888 | + | 2.72816i | −0.0450080 | + | 0.211746i | ||||
\(167\) | 0.334099 | + | 0.0529161i | 0.0258534 | + | 0.00409477i | 0.169348 | − | 0.985556i | \(-0.445834\pi\) |
−0.143494 | + | 0.989651i | \(0.545834\pi\) | |||||||
\(168\) | −4.95242 | − | 21.8231i | −0.382087 | − | 1.68369i | ||||
\(169\) | −7.14727 | − | 9.83737i | −0.549790 | − | 0.756721i | ||||
\(170\) | −0.549633 | + | 0.751784i | −0.0421549 | + | 0.0576592i | ||||
\(171\) | 7.58262 | + | 0.796965i | 0.579857 | + | 0.0609455i | ||||
\(172\) | 3.64237 | + | 4.49795i | 0.277728 | + | 0.342966i | ||||
\(173\) | −17.7761 | − | 0.931608i | −1.35149 | − | 0.0708288i | −0.637213 | − | 0.770687i | \(-0.719913\pi\) |
−0.714281 | + | 0.699859i | \(0.753246\pi\) | |||||||
\(174\) | −14.5723 | −1.10473 | ||||||||
\(175\) | −7.69242 | + | 10.7623i | −0.581492 | + | 0.813552i | ||||
\(176\) | −2.72479 | −0.205389 | ||||||||
\(177\) | −27.5613 | − | 1.44443i | −2.07164 | − | 0.108570i | ||||
\(178\) | 1.58896 | + | 1.96220i | 0.119097 | + | 0.147073i | ||||
\(179\) | −9.80573 | − | 1.03062i | −0.732915 | − | 0.0770324i | −0.269284 | − | 0.963061i | \(-0.586787\pi\) |
−0.463631 | + | 0.886028i | \(0.653454\pi\) | |||||||
\(180\) | −19.7439 | + | 6.35019i | −1.47162 | + | 0.473316i | ||||
\(181\) | −12.6158 | − | 17.3642i | −0.937727 | − | 1.29067i | −0.956768 | − | 0.290852i | \(-0.906061\pi\) |
0.0190405 | − | 0.999819i | \(-0.493939\pi\) | |||||||
\(182\) | 1.32371 | + | 1.43018i | 0.0981197 | + | 0.106012i | ||||
\(183\) | 4.48877 | + | 0.710952i | 0.331820 | + | 0.0525551i | ||||
\(184\) | 2.89568 | − | 13.6231i | 0.213473 | − | 1.00431i | ||||
\(185\) | 13.3098 | + | 5.15472i | 0.978558 | + | 0.378983i | ||||
\(186\) | −0.844440 | + | 0.179491i | −0.0619174 | + | 0.0131609i | ||||
\(187\) | −1.41597 | − | 2.18040i | −0.103546 | − | 0.159447i | ||||
\(188\) | 15.4036 | + | 7.84855i | 1.12343 | + | 0.572414i | ||||
\(189\) | 31.4855 | − | 5.43048i | 2.29023 | − | 0.395010i | ||||
\(190\) | 1.55827 | − | 1.25419i | 0.113049 | − | 0.0909888i | ||||
\(191\) | −0.709623 | − | 0.150835i | −0.0513465 | − | 0.0109140i | 0.182167 | − | 0.983268i | \(-0.441689\pi\) |
−0.233513 | + | 0.972354i | \(0.575022\pi\) | |||||||
\(192\) | −4.04340 | − | 10.5334i | −0.291807 | − | 0.760185i | ||||
\(193\) | −3.80877 | + | 14.2145i | −0.274161 | + | 1.02318i | 0.682240 | + | 0.731128i | \(0.261006\pi\) |
−0.956401 | + | 0.292055i | \(0.905661\pi\) | |||||||
\(194\) | −0.299055 | − | 2.84532i | −0.0214709 | − | 0.204282i | ||||
\(195\) | 4.31852 | − | 4.76755i | 0.309255 | − | 0.341412i | ||||
\(196\) | −7.21702 | − | 6.14831i | −0.515502 | − | 0.439165i | ||||
\(197\) | 24.1329 | − | 3.82227i | 1.71940 | − | 0.272326i | 0.782683 | − | 0.622420i | \(-0.213851\pi\) |
0.936714 | + | 0.350095i | \(0.113851\pi\) | |||||||
\(198\) | −1.44438 | + | 27.5603i | −0.102647 | + | 1.95863i | ||||
\(199\) | 0.487743 | + | 0.844796i | 0.0345752 | + | 0.0598860i | 0.882795 | − | 0.469758i | \(-0.155659\pi\) |
−0.848220 | + | 0.529644i | \(0.822326\pi\) | |||||||
\(200\) | −6.18947 | + | 11.9706i | −0.437661 | + | 0.846451i | ||||
\(201\) | −3.82326 | − | 2.20736i | −0.269672 | − | 0.155695i | ||||
\(202\) | 7.08919 | − | 3.61212i | 0.498794 | − | 0.254148i | ||||
\(203\) | −12.2459 | + | 9.15640i | −0.859494 | + | 0.642653i | ||||
\(204\) | −1.29498 | + | 1.78238i | −0.0906665 | + | 0.124792i | ||||
\(205\) | 12.8267 | + | 9.37769i | 0.895859 | + | 0.654967i | ||||
\(206\) | −2.42704 | + | 5.45122i | −0.169100 | + | 0.379804i | ||||
\(207\) | 34.1817 | + | 9.15896i | 2.37579 | + | 0.636592i | ||||
\(208\) | −0.387021 | − | 0.313403i | −0.0268351 | − | 0.0217306i | ||||
\(209\) | 1.72562 | + | 5.31092i | 0.119364 | + | 0.367364i | ||||
\(210\) | 8.63807 | − | 12.1617i | 0.596083 | − | 0.839240i | ||||
\(211\) | −8.83060 | + | 27.1778i | −0.607923 | + | 1.87100i | −0.132636 | + | 0.991165i | \(0.542344\pi\) |
−0.475287 | + | 0.879831i | \(0.657656\pi\) | |||||||
\(212\) | −6.65930 | + | 4.32460i | −0.457363 | + | 0.297015i | ||||
\(213\) | 1.25130 | + | 23.8762i | 0.0857377 | + | 1.63597i | ||||
\(214\) | −0.260574 | − | 1.22591i | −0.0178125 | − | 0.0838012i | ||||
\(215\) | −1.52290 | + | 9.43321i | −0.103861 | + | 0.643340i | ||||
\(216\) | 30.9547 | − | 10.0578i | 2.10620 | − | 0.684347i | ||||
\(217\) | −0.596846 | + | 0.681432i | −0.0405165 | + | 0.0462586i | ||||
\(218\) | 3.39463 | + | 3.39463i | 0.229913 | + | 0.229913i | ||||
\(219\) | 3.76390 | − | 0.395602i | 0.254341 | − | 0.0267323i | ||||
\(220\) | −10.1306 | − | 11.3188i | −0.683005 | − | 0.763114i | ||||
\(221\) | 0.0496683 | − | 0.472562i | 0.00334105 | − | 0.0317880i | ||||
\(222\) | −15.0259 | − | 5.76791i | −1.00847 | − | 0.387117i | ||||
\(223\) | −10.1540 | − | 19.9284i | −0.679963 | − | 1.33450i | −0.930463 | − | 0.366385i | \(-0.880595\pi\) |
0.250501 | − | 0.968116i | \(-0.419405\pi\) | |||||||
\(224\) | −13.0434 | − | 8.21837i | −0.871500 | − | 0.549113i | ||||
\(225\) | −29.5507 | − | 17.2967i | −1.97005 | − | 1.15312i | ||||
\(226\) | −1.01436 | + | 1.75692i | −0.0674742 | + | 0.116869i | ||||
\(227\) | −4.67929 | − | 3.03877i | −0.310575 | − | 0.201690i | 0.379934 | − | 0.925014i | \(-0.375947\pi\) |
−0.690509 | + | 0.723324i | \(0.742613\pi\) | |||||||
\(228\) | 3.67759 | − | 2.97805i | 0.243554 | − | 0.197226i | ||||
\(229\) | 14.5622 | − | 6.48351i | 0.962298 | − | 0.428443i | 0.135398 | − | 0.990791i | \(-0.456769\pi\) |
0.826900 | + | 0.562349i | \(0.190102\pi\) | |||||||
\(230\) | 8.05408 | − | 4.61809i | 0.531071 | − | 0.304508i | ||||
\(231\) | 23.1580 | + | 34.6115i | 1.52369 | + | 2.27727i | ||||
\(232\) | −11.0142 | + | 11.0142i | −0.723119 | + | 0.723119i | ||||
\(233\) | −7.72921 | + | 9.54478i | −0.506357 | + | 0.625299i | −0.964660 | − | 0.263497i | \(-0.915124\pi\) |
0.458303 | + | 0.888796i | \(0.348458\pi\) | |||||||
\(234\) | −3.37512 | + | 3.74845i | −0.220639 | + | 0.245044i | ||||
\(235\) | 7.30491 | + | 27.5909i | 0.476520 | + | 1.79983i | ||||
\(236\) | −8.85204 | + | 7.97041i | −0.576218 | + | 0.518829i | ||||
\(237\) | 6.92744 | − | 13.5959i | 0.449985 | − | 0.883146i | ||||
\(238\) | −0.0151132 | − | 1.10180i | −0.000979641 | − | 0.0714189i | ||||
\(239\) | 14.3549 | + | 4.66418i | 0.928540 | + | 0.301701i | 0.733965 | − | 0.679187i | \(-0.237667\pi\) |
0.194574 | + | 0.980888i | \(0.437667\pi\) | |||||||
\(240\) | −1.74077 | + | 3.39144i | −0.112366 | + | 0.218916i | ||||
\(241\) | −17.2487 | − | 15.5308i | −1.11108 | − | 1.00042i | −0.999978 | − | 0.00661623i | \(-0.997894\pi\) |
−0.111106 | − | 0.993809i | \(-0.535439\pi\) | |||||||
\(242\) | −10.6195 | + | 4.07644i | −0.682646 | + | 0.262043i | ||||
\(243\) | 4.71744 | + | 17.6057i | 0.302624 | + | 1.12941i | ||||
\(244\) | 1.58686 | − | 1.15292i | 0.101588 | − | 0.0738083i | ||||
\(245\) | −0.382702 | − | 15.6478i | −0.0244499 | − | 0.999701i | ||||
\(246\) | −14.4954 | − | 10.5315i | −0.924191 | − | 0.671464i | ||||
\(247\) | −0.365756 | + | 0.952826i | −0.0232725 | + | 0.0606269i | ||||
\(248\) | −0.502589 | + | 0.773919i | −0.0319144 | + | 0.0491439i | ||||
\(249\) | −9.43397 | + | 5.44671i | −0.597854 | + | 0.345171i | ||||
\(250\) | −8.69758 | + | 2.24738i | −0.550083 | + | 0.142137i | ||||
\(251\) | 22.1623i | 1.39887i | 0.714697 | + | 0.699434i | \(0.246565\pi\) | ||||
−0.714697 | + | 0.699434i | \(0.753435\pi\) | |||||||
\(252\) | 14.1505 | − | 20.0491i | 0.891398 | − | 1.26298i | ||||
\(253\) | 4.05453 | + | 25.5993i | 0.254906 | + | 1.60941i | ||||
\(254\) | 3.01272 | + | 6.76669i | 0.189035 | + | 0.424580i | ||||
\(255\) | −3.61848 | + | 0.369420i | −0.226598 | + | 0.0231340i | ||||
\(256\) | −13.0028 | − | 5.78920i | −0.812673 | − | 0.361825i | ||||
\(257\) | 0.227789 | − | 0.0610358i | 0.0142091 | − | 0.00380731i | −0.251708 | − | 0.967803i | \(-0.580992\pi\) |
0.265917 | + | 0.963996i | \(0.414325\pi\) | |||||||
\(258\) | 1.68558 | − | 10.6423i | 0.104939 | − | 0.662562i | ||||
\(259\) | −16.2513 | + | 4.59432i | −1.00981 | + | 0.285477i | ||||
\(260\) | −0.137038 | − | 2.77290i | −0.00849875 | − | 0.171968i | ||||
\(261\) | −26.4824 | − | 29.4117i | −1.63922 | − | 1.82054i | ||||
\(262\) | −4.50673 | + | 0.236188i | −0.278427 | + | 0.0145917i | ||||
\(263\) | 22.8710 | − | 1.19862i | 1.41029 | − | 0.0739099i | 0.668083 | − | 0.744086i | \(-0.267115\pi\) |
0.742202 | + | 0.670176i | \(0.233782\pi\) | |||||||
\(264\) | 28.3865 | + | 31.5264i | 1.74707 | + | 1.94032i | ||||
\(265\) | −12.6522 | − | 3.43059i | −0.777219 | − | 0.210739i | ||||
\(266\) | −0.581157 | + | 2.29433i | −0.0356330 | + | 0.140674i | ||||
\(267\) | −1.54267 | + | 9.74001i | −0.0944096 | + | 0.596079i | ||||
\(268\) | −1.84044 | + | 0.493144i | −0.112423 | + | 0.0301236i | ||||
\(269\) | 9.75209 | + | 4.34191i | 0.594596 | + | 0.264731i | 0.681894 | − | 0.731451i | \(-0.261157\pi\) |
−0.0872981 | + | 0.996182i | \(0.527823\pi\) | |||||||
\(270\) | 18.7573 | + | 10.9042i | 1.14153 | + | 0.663607i | ||||
\(271\) | −7.51186 | − | 16.8719i | −0.456313 | − | 1.02490i | −0.984438 | − | 0.175730i | \(-0.943772\pi\) |
0.528125 | − | 0.849166i | \(-0.322895\pi\) | |||||||
\(272\) | 0.0440505 | + | 0.278124i | 0.00267095 | + | 0.0168637i | ||||
\(273\) | −0.691695 | + | 7.57973i | −0.0418633 | + | 0.458746i | ||||
\(274\) | − | 3.47355i | − | 0.209845i | ||||||
\(275\) | 2.76999 | − | 24.9250i | 0.167037 | − | 1.50303i | ||||
\(276\) | 19.0211 | − | 10.9819i | 1.14494 | − | 0.661030i | ||||
\(277\) | −5.68523 | + | 8.75448i | −0.341592 | + | 0.526006i | −0.967161 | − | 0.254163i | \(-0.918200\pi\) |
0.625569 | + | 0.780169i | \(0.284867\pi\) | |||||||
\(278\) | −1.85560 | + | 4.83399i | −0.111291 | + | 0.289924i | ||||
\(279\) | −1.89688 | − | 1.37816i | −0.113563 | − | 0.0825084i | ||||
\(280\) | −2.66331 | − | 15.7211i | −0.159163 | − | 0.939518i | ||||
\(281\) | 23.9465 | − | 17.3981i | 1.42853 | − | 1.03789i | 0.438239 | − | 0.898858i | \(-0.355602\pi\) |
0.990288 | − | 0.139028i | \(-0.0443978\pi\) | |||||||
\(282\) | −8.32996 | − | 31.0878i | −0.496042 | − | 1.85125i | ||||
\(283\) | −26.0162 | + | 9.98669i | −1.54650 | + | 0.593647i | −0.974059 | − | 0.226296i | \(-0.927338\pi\) |
−0.572445 | + | 0.819943i | \(0.694005\pi\) | |||||||
\(284\) | 7.66847 | + | 6.90472i | 0.455040 | + | 0.409720i | ||||
\(285\) | 7.71273 | + | 1.24514i | 0.456862 | + | 0.0737560i | ||||
\(286\) | −3.51353 | − | 1.14161i | −0.207759 | − | 0.0675051i | ||||
\(287\) | −18.7986 | + | 0.257857i | −1.10965 | + | 0.0152208i | ||||
\(288\) | 18.1159 | − | 35.5544i | 1.06749 | − | 2.09506i | ||||
\(289\) | 12.4338 | − | 11.1954i | 0.731400 | − | 0.658555i | ||||
\(290\) | −10.3675 | − | 0.574316i | −0.608798 | − | 0.0337250i | ||||
\(291\) | 7.47699 | − | 8.30404i | 0.438309 | − | 0.486791i | ||||
\(292\) | 1.02794 | − | 1.26940i | 0.0601559 | − | 0.0742863i | ||||
\(293\) | −4.85076 | + | 4.85076i | −0.283385 | + | 0.283385i | −0.834457 | − | 0.551073i | \(-0.814219\pi\) |
0.551073 | + | 0.834457i | \(0.314219\pi\) | |||||||
\(294\) | 0.484122 | + | 17.6437i | 0.0282346 | + | 1.02900i | ||||
\(295\) | −19.5515 | − | 2.11387i | −1.13833 | − | 0.123074i | ||||
\(296\) | −15.7166 | + | 6.99749i | −0.913510 | + | 0.406721i | ||||
\(297\) | −47.0716 | + | 38.1178i | −2.73137 | + | 2.21182i | ||||
\(298\) | −1.49827 | − | 0.972990i | −0.0867926 | − | 0.0563638i | ||||
\(299\) | −2.36852 | + | 4.10240i | −0.136975 | + | 0.237248i | ||||
\(300\) | −20.5602 | + | 5.37797i | −1.18704 | + | 0.310497i | ||||
\(301\) | −5.27052 | − | 10.0024i | −0.303788 | − | 0.576529i | ||||
\(302\) | −4.51799 | − | 8.86706i | −0.259981 | − | 0.510242i | ||||
\(303\) | 29.0113 | + | 11.1364i | 1.66665 | + | 0.639768i | ||||
\(304\) | 0.0632223 | − | 0.601520i | 0.00362605 | − | 0.0344996i | ||||
\(305\) | 3.16551 | + | 0.682714i | 0.181256 | + | 0.0390921i | ||||
\(306\) | 2.83648 | − | 0.298126i | 0.162151 | − | 0.0170427i | ||||
\(307\) | −4.10345 | − | 4.10345i | −0.234196 | − | 0.234196i | 0.580245 | − | 0.814442i | \(-0.302957\pi\) |
−0.814442 | + | 0.580245i | \(0.802957\pi\) | |||||||
\(308\) | 17.6302 | + | 3.49540i | 1.00457 | + | 0.199169i | ||||
\(309\) | −22.1650 | + | 7.20186i | −1.26093 | + | 0.409700i | ||||
\(310\) | −0.607849 | + | 0.0944181i | −0.0345235 | + | 0.00536259i | ||||
\(311\) | 5.14856 | + | 24.2220i | 0.291948 | + | 1.37351i | 0.842496 | + | 0.538703i | \(0.181085\pi\) |
−0.550548 | + | 0.834804i | \(0.685581\pi\) | |||||||
\(312\) | 0.405789 | + | 7.74291i | 0.0229733 | + | 0.438356i | ||||
\(313\) | 5.99503 | − | 3.89322i | 0.338859 | − | 0.220058i | −0.363980 | − | 0.931407i | \(-0.618582\pi\) |
0.702839 | + | 0.711349i | \(0.251916\pi\) | |||||||
\(314\) | −4.17795 | + | 12.8584i | −0.235776 | + | 0.725642i | ||||
\(315\) | 40.2443 | − | 4.66721i | 2.26751 | − | 0.262968i | ||||
\(316\) | −2.03508 | − | 6.26334i | −0.114482 | − | 0.352340i | ||||
\(317\) | 5.34470 | + | 4.32805i | 0.300188 | + | 0.243088i | 0.767566 | − | 0.640970i | \(-0.221468\pi\) |
−0.467378 | + | 0.884058i | \(0.654801\pi\) | |||||||
\(318\) | 14.2786 | + | 3.82593i | 0.800703 | + | 0.214548i | ||||
\(319\) | 11.7901 | − | 26.4810i | 0.660120 | − | 1.48265i | ||||
\(320\) | −2.46153 | − | 7.65333i | −0.137604 | − | 0.427834i | ||||
\(321\) | 2.87720 | − | 3.96013i | 0.160590 | − | 0.221033i | ||||
\(322\) | −4.32999 | + | 10.0957i | −0.241301 | + | 0.562614i | ||||
\(323\) | 0.514197 | − | 0.261996i | 0.0286107 | − | 0.0145779i | ||||
\(324\) | 20.3537 | + | 11.7512i | 1.13076 | + | 0.652844i | ||||
\(325\) | 3.26029 | − | 3.22167i | 0.180849 | − | 0.178706i | ||||
\(326\) | 7.31107 | + | 12.6631i | 0.404923 | + | 0.701347i | ||||
\(327\) | −0.981311 | + | 18.7245i | −0.0542666 | + | 1.03547i | ||||
\(328\) | −18.9161 | + | 2.99601i | −1.04447 | + | 0.165427i | ||||
\(329\) | −26.5338 | − | 20.8907i | −1.46286 | − | 1.15174i | ||||
\(330\) | −3.03979 | + | 28.1155i | −0.167335 | + | 1.54771i | ||||
\(331\) | −1.92457 | − | 18.3111i | −0.105784 | − | 1.00647i | −0.910697 | − | 0.413074i | \(-0.864455\pi\) |
0.804913 | − | 0.593392i | \(-0.202212\pi\) | |||||||
\(332\) | −1.21684 | + | 4.54131i | −0.0667828 | + | 0.249237i | ||||
\(333\) | −15.6652 | − | 40.8092i | −0.858447 | − | 2.23633i | ||||
\(334\) | −0.265851 | − | 0.0565083i | −0.0145467 | − | 0.00309200i | ||||
\(335\) | −2.63306 | − | 1.72110i | −0.143859 | − | 0.0940339i | ||||
\(336\) | −0.766641 | − | 4.44491i | −0.0418237 | − | 0.242490i | ||||
\(337\) | 11.2377 | + | 5.72591i | 0.612158 | + | 0.311910i | 0.732442 | − | 0.680829i | \(-0.238380\pi\) |
−0.120284 | + | 0.992740i | \(0.538380\pi\) | |||||||
\(338\) | 5.32118 | + | 8.19390i | 0.289434 | + | 0.445689i | ||||
\(339\) | −7.75043 | + | 1.64740i | −0.420945 | + | 0.0894747i | ||||
\(340\) | −0.991554 | + | 1.21703i | −0.0537745 | + | 0.0660029i | ||||
\(341\) | 0.357042 | − | 1.67975i | 0.0193349 | − | 0.0909635i | ||||
\(342\) | −6.05066 | − | 0.958330i | −0.327182 | − | 0.0518206i | ||||
\(343\) | 11.4931 | + | 14.5227i | 0.620568 | + | 0.784153i | ||||
\(344\) | −6.76978 | − | 9.31780i | −0.365002 | − | 0.502382i | ||||
\(345\) | 34.4527 | + | 11.3080i | 1.85487 | + | 0.608801i | ||||
\(346\) | 14.2241 | + | 1.49501i | 0.764693 | + | 0.0803725i | ||||
\(347\) | −6.47761 | − | 7.99918i | −0.347736 | − | 0.429418i | 0.573029 | − | 0.819535i | \(-0.305768\pi\) |
−0.920766 | + | 0.390117i | \(0.872435\pi\) | |||||||
\(348\) | −24.5305 | − | 1.28559i | −1.31497 | − | 0.0689149i | ||||
\(349\) | 11.2771 | 0.603650 | 0.301825 | − | 0.953363i | \(-0.402404\pi\) | ||||
0.301825 | + | 0.953363i | \(0.402404\pi\) | |||||||
\(350\) | 6.62484 | − | 8.31201i | 0.354113 | − | 0.444295i | ||||
\(351\) | −11.0702 | −0.590883 | ||||||||
\(352\) | 29.1860 | + | 1.52957i | 1.55562 | + | 0.0815266i | ||||
\(353\) | −10.4707 | − | 12.9303i | −0.557300 | − | 0.688208i | 0.418163 | − | 0.908372i | \(-0.362674\pi\) |
−0.975463 | + | 0.220164i | \(0.929341\pi\) | |||||||
\(354\) | 22.0540 | + | 2.31797i | 1.17216 | + | 0.123199i | ||||
\(355\) | −0.0507607 | + | 17.0360i | −0.00269410 | + | 0.904177i | ||||
\(356\) | 2.50168 | + | 3.44327i | 0.132589 | + | 0.182493i | ||||
\(357\) | 3.15847 | − | 2.92333i | 0.167164 | − | 0.154719i | ||||
\(358\) | 7.82462 | + | 1.23930i | 0.413544 | + | 0.0654990i | ||||
\(359\) | −3.60963 | + | 16.9820i | −0.190509 | + | 0.896275i | 0.774197 | + | 0.632945i | \(0.218154\pi\) |
−0.964706 | + | 0.263330i | \(0.915179\pi\) | |||||||
\(360\) | 39.8969 | − | 10.5630i | 2.10275 | − | 0.556721i | ||||
\(361\) | 17.3723 | − | 3.69260i | 0.914333 | − | 0.194348i | ||||
\(362\) | 9.39256 | + | 14.4633i | 0.493662 | + | 0.760173i | ||||
\(363\) | −39.5851 | − | 20.1696i | −2.07768 | − | 1.05863i | ||||
\(364\) | 2.10211 | + | 2.52429i | 0.110180 | + | 0.132309i | ||||
\(365\) | 2.69341 | − | 0.133109i | 0.140979 | − | 0.00696727i | ||||
\(366\) | −3.57182 | − | 0.759215i | −0.186702 | − | 0.0396848i | ||||
\(367\) | 2.67456 | + | 6.96747i | 0.139611 | + | 0.363699i | 0.985504 | − | 0.169654i | \(-0.0542651\pi\) |
−0.845893 | + | 0.533353i | \(0.820932\pi\) | |||||||
\(368\) | 0.726570 | − | 2.71160i | 0.0378751 | − | 0.141352i | ||||
\(369\) | −5.08655 | − | 48.3953i | −0.264795 | − | 2.51936i | ||||
\(370\) | −10.4628 | − | 4.69576i | −0.543937 | − | 0.244121i | ||||
\(371\) | 14.4030 | − | 5.75668i | 0.747768 | − | 0.298872i | ||||
\(372\) | −1.43733 | + | 0.227651i | −0.0745222 | + | 0.0118032i | ||||
\(373\) | −1.54467 | + | 29.4741i | −0.0799802 | + | 1.52611i | 0.604219 | + | 0.796818i | \(0.293485\pi\) |
−0.684199 | + | 0.729295i | \(0.739848\pi\) | |||||||
\(374\) | 1.04446 | + | 1.80906i | 0.0540080 | + | 0.0935445i | ||||
\(375\) | −29.2535 | − | 19.3714i | −1.51064 | − | 1.00033i | ||||
\(376\) | −29.7932 | − | 17.2011i | −1.53647 | − | 0.887079i | ||||
\(377\) | 4.72046 | − | 2.40520i | 0.243116 | − | 0.123874i | ||||
\(378\) | −25.4918 | + | 3.03333i | −1.31116 | + | 0.156018i | ||||
\(379\) | −0.558890 | + | 0.769246i | −0.0287082 | + | 0.0395135i | −0.823130 | − | 0.567853i | \(-0.807774\pi\) |
0.794422 | + | 0.607367i | \(0.207774\pi\) | |||||||
\(380\) | 2.73378 | − | 1.97379i | 0.140240 | − | 0.101253i | ||||
\(381\) | −11.7668 | + | 26.4287i | −0.602831 | + | 1.35398i | ||||
\(382\) | 0.563048 | + | 0.150868i | 0.0288080 | + | 0.00771909i | ||||
\(383\) | −7.87866 | − | 6.38001i | −0.402581 | − | 0.326003i | 0.406554 | − | 0.913627i | \(-0.366730\pi\) |
−0.809135 | + | 0.587623i | \(0.800064\pi\) | |||||||
\(384\) | −8.49991 | − | 26.1600i | −0.433759 | − | 1.33497i | ||||
\(385\) | 15.1116 | + | 25.5370i | 0.770160 | + | 1.30148i | ||||
\(386\) | 3.65383 | − | 11.2453i | 0.185975 | − | 0.572373i | ||||
\(387\) | 24.5428 | − | 15.9383i | 1.24758 | − | 0.810190i | ||||
\(388\) | −0.252400 | − | 4.81608i | −0.0128137 | − | 0.244500i | ||||
\(389\) | 2.79772 | + | 13.1622i | 0.141850 | + | 0.667352i | 0.990399 | + | 0.138235i | \(0.0441431\pi\) |
−0.848549 | + | 0.529116i | \(0.822524\pi\) | |||||||
\(390\) | −3.66559 | + | 3.64381i | −0.185614 | + | 0.184512i | ||||
\(391\) | 2.54742 | − | 0.827706i | 0.128828 | − | 0.0418589i | ||||
\(392\) | 13.7016 | + | 12.9697i | 0.692033 | + | 0.655070i | ||||
\(393\) | −12.4635 | − | 12.4635i | −0.628702 | − | 0.628702i | ||||
\(394\) | −19.5246 | + | 2.05212i | −0.983634 | + | 0.103384i | ||||
\(395\) | 5.46434 | − | 9.39972i | 0.274941 | − | 0.472951i | ||||
\(396\) | −4.86281 | + | 46.2665i | −0.244365 | + | 2.32498i | ||||
\(397\) | 25.1838 | + | 9.66717i | 1.26394 | + | 0.485181i | 0.895745 | − | 0.444567i | \(-0.146643\pi\) |
0.368195 | + | 0.929749i | \(0.379976\pi\) | |||||||
\(398\) | −0.355833 | − | 0.698361i | −0.0178363 | − | 0.0350057i | ||||
\(399\) | −8.17811 | + | 4.30925i | −0.409418 | + | 0.215732i | ||||
\(400\) | −1.37213 | + | 2.34422i | −0.0686065 | + | 0.117211i | ||||
\(401\) | −7.65133 | + | 13.2525i | −0.382089 | + | 0.661798i | −0.991361 | − | 0.131164i | \(-0.958129\pi\) |
0.609271 | + | 0.792962i | \(0.291462\pi\) | |||||||
\(402\) | 2.97490 | + | 1.93193i | 0.148375 | + | 0.0963557i | ||||
\(403\) | 0.243917 | − | 0.197520i | 0.0121504 | − | 0.00983916i | ||||
\(404\) | 12.2523 | − | 5.45509i | 0.609577 | − | 0.271401i | ||||
\(405\) | 7.95413 | + | 37.9773i | 0.395244 | + | 1.88711i | ||||
\(406\) | 10.2110 | − | 6.83199i | 0.506761 | − | 0.339066i | ||||
\(407\) | 22.6386 | − | 22.6386i | 1.12215 | − | 1.12215i | ||||
\(408\) | 2.75904 | − | 3.40713i | 0.136593 | − | 0.168678i | ||||
\(409\) | −8.68351 | + | 9.64401i | −0.429372 | + | 0.476866i | −0.918542 | − | 0.395322i | \(-0.870633\pi\) |
0.489171 | + | 0.872188i | \(0.337300\pi\) | |||||||
\(410\) | −9.89763 | − | 8.06389i | −0.488809 | − | 0.398247i | ||||
\(411\) | 10.0820 | − | 9.07786i | 0.497308 | − | 0.447778i | ||||
\(412\) | −4.56649 | + | 8.96225i | −0.224975 | + | 0.441538i | ||||
\(413\) | 19.9896 | − | 11.9095i | 0.983625 | − | 0.586030i | ||||
\(414\) | −27.0417 | − | 8.78639i | −1.32903 | − | 0.431827i | ||||
\(415\) | −6.92644 | + | 3.50324i | −0.340005 | + | 0.171967i | ||||
\(416\) | 3.96956 | + | 3.57421i | 0.194624 | + | 0.175240i | ||||
\(417\) | −18.8801 | + | 7.24740i | −0.924564 | + | 0.354907i | ||||
\(418\) | −1.16128 | − | 4.33396i | −0.0568001 | − | 0.211981i | ||||
\(419\) | −14.8800 | + | 10.8109i | −0.726935 | + | 0.528149i | −0.888592 | − | 0.458698i | \(-0.848316\pi\) |
0.161658 | + | 0.986847i | \(0.448316\pi\) | |||||||
\(420\) | 15.6139 | − | 19.7106i | 0.761881 | − | 0.961776i | ||||
\(421\) | 19.9632 | + | 14.5041i | 0.972947 | + | 0.706887i | 0.956121 | − | 0.292971i | \(-0.0946441\pi\) |
0.0168253 | + | 0.999858i | \(0.494644\pi\) | |||||||
\(422\) | 8.22839 | − | 21.4357i | 0.400552 | − | 1.04347i | ||||
\(423\) | 47.6072 | − | 73.3087i | 2.31474 | − | 3.56439i | ||||
\(424\) | 13.6839 | − | 7.90043i | 0.664551 | − | 0.383679i | ||||
\(425\) | −2.58892 | + | 0.120214i | −0.125581 | + | 0.00583122i | ||||
\(426\) | − | 19.2105i | − | 0.930754i | ||||||
\(427\) | −3.47864 | + | 1.60631i | −0.168343 | + | 0.0777350i | ||||
\(428\) | −0.330490 | − | 2.08663i | −0.0159748 | − | 0.100861i | ||||
\(429\) | −5.86880 | − | 13.1815i | −0.283348 | − | 0.636411i | ||||
\(430\) | 1.61863 | − | 7.50502i | 0.0780572 | − | 0.361924i | ||||
\(431\) | −27.9846 | − | 12.4596i | −1.34797 | − | 0.600156i | −0.399417 | − | 0.916769i | \(-0.630787\pi\) |
−0.948555 | + | 0.316614i | \(0.897454\pi\) | |||||||
\(432\) | 6.33685 | − | 1.69795i | 0.304882 | − | 0.0816928i | ||||
\(433\) | 4.05772 | − | 25.6195i | 0.195002 | − | 1.23119i | −0.674878 | − | 0.737929i | \(-0.735804\pi\) |
0.869880 | − | 0.493263i | \(-0.164196\pi\) | |||||||
\(434\) | 0.507554 | − | 0.521672i | 0.0243634 | − | 0.0250411i | ||||
\(435\) | −25.4276 | − | 31.5925i | −1.21916 | − | 1.51474i | ||||
\(436\) | 5.41491 | + | 6.01387i | 0.259327 | + | 0.288012i | ||||
\(437\) | −5.74534 | + | 0.301100i | −0.274837 | + | 0.0144036i | ||||
\(438\) | −3.03673 | + | 0.159148i | −0.145101 | + | 0.00760440i | ||||
\(439\) | −8.91058 | − | 9.89620i | −0.425279 | − | 0.472320i | 0.491983 | − | 0.870605i | \(-0.336272\pi\) |
−0.917262 | + | 0.398285i | \(0.869606\pi\) | |||||||
\(440\) | 18.9530 | + | 23.5481i | 0.903549 | + | 1.12261i | ||||
\(441\) | −34.7309 | + | 33.0411i | −1.65385 | + | 1.57339i | ||||
\(442\) | −0.0597248 | + | 0.377088i | −0.00284082 | + | 0.0179362i | ||||
\(443\) | 14.5088 | − | 3.88763i | 0.689335 | − | 0.184707i | 0.102886 | − | 0.994693i | \(-0.467192\pi\) |
0.586449 | + | 0.809986i | \(0.300526\pi\) | |||||||
\(444\) | −24.7852 | − | 11.0351i | −1.17625 | − | 0.523702i | ||||
\(445\) | −1.48139 | + | 6.86871i | −0.0702247 | + | 0.325608i | ||||
\(446\) | 7.30940 | + | 16.4172i | 0.346110 | + | 0.777376i | ||||
\(447\) | −1.09152 | − | 6.89157i | −0.0516270 | − | 0.325960i | ||||
\(448\) | 7.77166 | + | 5.48517i | 0.367176 | + | 0.259150i | ||||
\(449\) | − | 3.87012i | − | 0.182642i | −0.995822 | − | 0.0913211i | \(-0.970891\pi\) | ||
0.995822 | − | 0.0913211i | \(-0.0291090\pi\) | |||||||
\(450\) | 22.9837 | + | 15.1213i | 1.08346 | + | 0.712823i | ||||
\(451\) | 30.8658 | − | 17.8204i | 1.45341 | − | 0.839129i | ||||
\(452\) | −1.86253 | + | 2.86805i | −0.0876062 | + | 0.134902i | ||||
\(453\) | 13.9292 | − | 36.2869i | 0.654452 | − | 1.70491i | ||||
\(454\) | 3.62680 | + | 2.63503i | 0.170214 | + | 0.123668i | ||||
\(455\) | −0.790832 | + | 5.36532i | −0.0370748 | + | 0.251530i | ||||
\(456\) | −7.61836 | + | 5.53507i | −0.356763 | + | 0.259203i | ||||
\(457\) | 10.9654 | + | 40.9235i | 0.512941 | + | 1.91432i | 0.386304 | + | 0.922371i | \(0.373751\pi\) |
0.126636 | + | 0.991949i | \(0.459582\pi\) | |||||||
\(458\) | −11.9571 | + | 4.58991i | −0.558720 | + | 0.214472i | ||||
\(459\) | 4.65174 | + | 4.18845i | 0.217125 | + | 0.195500i | ||||
\(460\) | 13.9653 | − | 7.06336i | 0.651137 | − | 0.329331i | ||||
\(461\) | −21.8890 | − | 7.11217i | −1.01947 | − | 0.331247i | −0.248852 | − | 0.968541i | \(-0.580053\pi\) |
−0.770620 | + | 0.637295i | \(0.780053\pi\) | |||||||
\(462\) | −17.1262 | − | 28.7455i | −0.796782 | − | 1.33736i | ||||
\(463\) | 8.19728 | − | 16.0881i | 0.380960 | − | 0.747676i | −0.618308 | − | 0.785936i | \(-0.712182\pi\) |
0.999268 | + | 0.0382600i | \(0.0121815\pi\) | |||||||
\(464\) | −2.33320 | + | 2.10082i | −0.108316 | + | 0.0975281i | ||||
\(465\) | −1.86262 | − | 1.51753i | −0.0863767 | − | 0.0703737i | ||||
\(466\) | 6.60317 | − | 7.33356i | 0.305886 | − | 0.339721i | ||||
\(467\) | −17.2567 | + | 21.3103i | −0.798545 | + | 0.986121i | 0.201433 | + | 0.979502i | \(0.435440\pi\) |
−0.999978 | + | 0.00661861i | \(0.997893\pi\) | |||||||
\(468\) | −6.01224 | + | 6.01224i | −0.277916 | + | 0.277916i | ||||
\(469\) | 3.71387 | − | 0.245755i | 0.171491 | − | 0.0113479i | ||||
\(470\) | −4.70112 | − | 22.4457i | −0.216846 | − | 1.03534i | ||||
\(471\) | −48.2403 | + | 21.4780i | −2.22280 | + | 0.989653i | ||||
\(472\) | 18.4211 | − | 14.9171i | 0.847900 | − | 0.686616i | ||||
\(473\) | 17.9756 | + | 11.6735i | 0.826518 | + | 0.536747i | ||||
\(474\) | −6.13019 | + | 10.6178i | −0.281569 | + | 0.487691i | ||||
\(475\) | 5.43813 | + | 1.18982i | 0.249518 | + | 0.0545929i | ||||
\(476\) | 0.0717609 | − | 1.85606i | 0.00328916 | − | 0.0850721i | ||||
\(477\) | 18.2266 | + | 35.7717i | 0.834538 | + | 1.63787i | ||||
\(478\) | −11.3220 | − | 4.34610i | −0.517856 | − | 0.198786i | ||||
\(479\) | −3.81683 | + | 36.3147i | −0.174396 | + | 1.65926i | 0.461242 | + | 0.887275i | \(0.347404\pi\) |
−0.635637 | + | 0.771988i | \(0.719263\pi\) | |||||||
\(480\) | 20.5497 | − | 35.3495i | 0.937962 | − | 1.61348i | ||||
\(481\) | 5.81940 | − | 0.611643i | 0.265342 | − | 0.0278885i | ||||
\(482\) | 13.1870 | + | 13.1870i | 0.600650 | + | 0.600650i | ||||
\(483\) | −40.6190 | + | 13.8167i | −1.84823 | + | 0.628680i | ||||
\(484\) | −18.2360 | + | 5.92525i | −0.828911 | + | 0.269330i | ||||
\(485\) | 5.64676 | − | 5.61321i | 0.256406 | − | 0.254883i | ||||
\(486\) | −3.04486 | − | 14.3249i | −0.138118 | − | 0.649792i | ||||
\(487\) | −1.88760 | − | 36.0175i | −0.0855352 | − | 1.63211i | −0.618368 | − | 0.785888i | \(-0.712206\pi\) |
0.532833 | − | 0.846220i | \(-0.321127\pi\) | |||||||
\(488\) | −3.27353 | + | 2.12586i | −0.148186 | + | 0.0962330i | ||||
\(489\) | −17.6479 | + | 54.3145i | −0.798064 | + | 2.45619i | ||||
\(490\) | −0.350934 | + | 12.5716i | −0.0158536 | + | 0.567929i | ||||
\(491\) | 2.89375 | + | 8.90606i | 0.130593 | + | 0.401925i | 0.994879 | − | 0.101077i | \(-0.0322289\pi\) |
−0.864285 | + | 0.503002i | \(0.832229\pi\) | |||||||
\(492\) | −23.4718 | − | 19.0071i | −1.05819 | − | 0.856907i | ||||
\(493\) | −2.89357 | − | 0.775330i | −0.130320 | − | 0.0349191i | ||||
\(494\) | 0.333544 | − | 0.749152i | 0.0150069 | − | 0.0337060i | ||||
\(495\) | −62.2704 | + | 44.9592i | −2.79885 | + | 2.02077i | ||||
\(496\) | −0.109328 | + | 0.150477i | −0.00490897 | + | 0.00675662i | ||||
\(497\) | −12.0708 | − | 16.1436i | −0.541447 | − | 0.724140i | ||||
\(498\) | 7.79871 | − | 3.97364i | 0.349468 | − | 0.178063i | ||||
\(499\) | −27.8046 | − | 16.0530i | −1.24470 | − | 0.718630i | −0.274656 | − | 0.961543i | \(-0.588564\pi\) |
−0.970048 | + | 0.242912i | \(0.921897\pi\) | |||||||
\(500\) | −14.8394 | + | 3.01584i | −0.663639 | + | 0.134872i | ||||
\(501\) | −0.530765 | − | 0.919313i | −0.0237128 | − | 0.0410719i | ||||
\(502\) | 0.931948 | − | 17.7826i | 0.0415949 | − | 0.793678i | ||||
\(503\) | 31.9663 | − | 5.06296i | 1.42531 | − | 0.225746i | 0.604342 | − | 0.796725i | \(-0.293436\pi\) |
0.820965 | + | 0.570979i | \(0.193436\pi\) | |||||||
\(504\) | −30.2083 | + | 38.3685i | −1.34559 | + | 1.70907i | ||||
\(505\) | 20.2011 | + | 9.06632i | 0.898937 | + | 0.403446i | ||||
\(506\) | −2.17681 | − | 20.7110i | −0.0967710 | − | 0.920715i | ||||
\(507\) | −9.87630 | + | 36.8589i | −0.438622 | + | 1.63696i | ||||
\(508\) | 4.47454 | + | 11.6566i | 0.198525 | + | 0.517177i | ||||
\(509\) | 25.8085 | + | 5.48576i | 1.14394 | + | 0.243152i | 0.740631 | − | 0.671912i | \(-0.234527\pi\) |
0.403309 | + | 0.915064i | \(0.367860\pi\) | |||||||
\(510\) | 2.91894 | − | 0.144255i | 0.129253 | − | 0.00638774i | ||||
\(511\) | −2.45192 | + | 2.04184i | −0.108467 | + | 0.0903257i | ||||
\(512\) | −5.42969 | − | 2.76657i | −0.239961 | − | 0.122266i | ||||
\(513\) | −7.32265 | − | 11.2759i | −0.323303 | − | 0.497843i | ||||
\(514\) | −0.185341 | + | 0.0393954i | −0.00817502 | + | 0.00173765i | ||||
\(515\) | −16.0531 | + | 4.25019i | −0.707384 | + | 0.187286i | ||||
\(516\) | 3.77631 | − | 17.7662i | 0.166243 | − | 0.782111i | ||||
\(517\) | 63.2328 | + | 10.0151i | 2.78097 | + | 0.440463i | ||||
\(518\) | 13.2330 | − | 3.00302i | 0.581423 | − | 0.131945i | ||||
\(519\) | 32.8344 | + | 45.1926i | 1.44127 | + | 1.98374i | ||||
\(520\) | −0.0164614 | + | 5.52467i | −0.000721879 | + | 0.242273i | ||||
\(521\) | 8.94847 | + | 0.940522i | 0.392039 | + | 0.0412050i | 0.298498 | − | 0.954410i | \(-0.403514\pi\) |
0.0935417 | + | 0.995615i | \(0.470181\pi\) | |||||||
\(522\) | 20.0123 | + | 24.7131i | 0.875913 | + | 1.08166i | ||||
\(523\) | −6.80248 | − | 0.356503i | −0.297452 | − | 0.0155888i | −0.0969736 | − | 0.995287i | \(-0.530916\pi\) |
−0.200478 | + | 0.979698i | \(0.564250\pi\) | |||||||
\(524\) | −7.60728 | −0.332326 | ||||||||
\(525\) | 41.4391 | − | 2.49419i | 1.80855 | − | 0.108855i | ||||
\(526\) | −18.4017 | −0.802353 | ||||||||
\(527\) | −0.177227 | − | 0.00928807i | −0.00772013 | − | 0.000404595i | ||||
\(528\) | 5.38123 | + | 6.64527i | 0.234188 | + | 0.289198i | ||||
\(529\) | −3.68248 | − | 0.387044i | −0.160108 | − | 0.0168280i | ||||
\(530\) | 10.0077 | + | 3.28469i | 0.434705 | + | 0.142678i | ||||
\(531\) | 35.4005 | + | 48.7246i | 1.53625 | + | 2.11447i | ||||
\(532\) | −1.18071 | + | 3.81092i | −0.0511901 | + | 0.165224i | ||||
\(533\) | 6.43377 | + | 1.01901i | 0.278678 | + | 0.0441382i | ||||
\(534\) | 1.64739 | − | 7.75036i | 0.0712895 | − | 0.335391i | ||||
\(535\) | 2.20305 | − | 2.70403i | 0.0952462 | − | 0.116905i | ||||
\(536\) | 3.70873 | − | 0.788315i | 0.160193 | − | 0.0340500i | ||||
\(537\) | 16.8520 | + | 25.9498i | 0.727217 | + | 1.11982i | ||||
\(538\) | −7.64234 | − | 3.89397i | −0.329485 | − | 0.167881i | ||||
\(539\) | −32.4540 | − | 13.3953i | −1.39789 | − | 0.576977i | ||||
\(540\) | 30.6133 | + | 20.0105i | 1.31739 | + | 0.861113i | ||||
\(541\) | −3.42812 | − | 0.728670i | −0.147387 | − | 0.0313280i | 0.133628 | − | 0.991032i | \(-0.457337\pi\) |
−0.281014 | + | 0.959704i | \(0.590671\pi\) | |||||||
\(542\) | 5.31791 | + | 13.8536i | 0.228424 | + | 0.595065i | ||||
\(543\) | −17.4329 | + | 65.0606i | −0.748118 | + | 2.79202i | ||||
\(544\) | −0.315711 | − | 3.00379i | −0.0135360 | − | 0.128787i | ||||
\(545\) | −1.43611 | + | 13.2828i | −0.0615162 | + | 0.568975i | ||||
\(546\) | 0.873742 | − | 6.05277i | 0.0373927 | − | 0.259035i | ||||
\(547\) | −29.8893 | + | 4.73400i | −1.27798 | + | 0.202411i | −0.758274 | − | 0.651936i | \(-0.773957\pi\) |
−0.519702 | + | 0.854348i | \(0.673957\pi\) | |||||||
\(548\) | 0.306441 | − | 5.84724i | 0.0130905 | − | 0.249782i | ||||
\(549\) | −4.95876 | − | 8.58882i | −0.211635 | − | 0.366562i | ||||
\(550\) | −3.27072 | + | 19.8829i | −0.139464 | + | 0.847810i | ||||
\(551\) | 5.57235 | + | 3.21720i | 0.237390 | + | 0.137057i | ||||
\(552\) | −38.9431 | + | 19.8425i | −1.65753 | + | 0.844552i | ||||
\(553\) | 1.52007 | + | 12.7745i | 0.0646402 | + | 0.543228i | ||||
\(554\) | 4.92987 | − | 6.78539i | 0.209450 | − | 0.288283i | ||||
\(555\) | −13.7144 | − | 42.6404i | −0.582143 | − | 1.80998i | ||||
\(556\) | −3.55010 | + | 7.97365i | −0.150558 | + | 0.338158i | ||||
\(557\) | −14.5926 | − | 3.91007i | −0.618307 | − | 0.165675i | −0.0639490 | − | 0.997953i | \(-0.520370\pi\) |
−0.554358 | + | 0.832278i | \(0.687036\pi\) | |||||||
\(558\) | 1.46407 | + | 1.18558i | 0.0619791 | + | 0.0501897i | ||||
\(559\) | 1.21052 | + | 3.72561i | 0.0511997 | + | 0.157576i | ||||
\(560\) | −0.370245 | − | 3.19254i | −0.0156457 | − | 0.134909i | ||||
\(561\) | −2.52119 | + | 7.75941i | −0.106445 | + | 0.327603i | ||||
\(562\) | −19.9459 | + | 12.9530i | −0.841367 | + | 0.546390i | ||||
\(563\) | 1.83668 | + | 35.0459i | 0.0774067 | + | 1.47701i | 0.710918 | + | 0.703275i | \(0.248280\pi\) |
−0.633511 | + | 0.773734i | \(0.718387\pi\) | |||||||
\(564\) | −11.2797 | − | 53.0669i | −0.474962 | − | 2.23452i | ||||
\(565\) | −5.57895 | + | 0.866587i | −0.234708 | + | 0.0364576i | ||||
\(566\) | 21.2950 | − | 6.91915i | 0.895094 | − | 0.290834i | ||||
\(567\) | −34.5362 | − | 30.2492i | −1.45038 | − | 1.27035i | ||||
\(568\) | −14.5199 | − | 14.5199i | −0.609242 | − | 0.609242i | ||||
\(569\) | −2.55943 | + | 0.269006i | −0.107297 | + | 0.0112773i | −0.158025 | − | 0.987435i | \(-0.550513\pi\) |
0.0507279 | + | 0.998713i | \(0.483846\pi\) | |||||||
\(570\) | −6.13621 | − | 1.32341i | −0.257017 | − | 0.0554317i | ||||
\(571\) | 2.11736 | − | 20.1454i | 0.0886089 | − | 0.843058i | −0.856466 | − | 0.516204i | \(-0.827345\pi\) |
0.945075 | − | 0.326854i | \(-0.105989\pi\) | |||||||
\(572\) | −5.81382 | − | 2.23172i | −0.243088 | − | 0.0933127i | ||||
\(573\) | 1.03359 | + | 2.02853i | 0.0431787 | + | 0.0847430i | ||||
\(574\) | 15.0945 | + | 0.583602i | 0.630033 | + | 0.0243591i | ||||
\(575\) | 24.0656 | + | 9.40286i | 1.00361 | + | 0.392126i | ||||
\(576\) | −12.3107 | + | 21.3228i | −0.512946 | + | 0.888449i | ||||
\(577\) | −33.6097 | − | 21.8264i | −1.39919 | − | 0.908645i | −0.399225 | − | 0.916853i | \(-0.630721\pi\) |
−0.999966 | + | 0.00820794i | \(0.997387\pi\) | |||||||
\(578\) | −10.4475 | + | 8.46019i | −0.434557 | + | 0.351897i | ||||
\(579\) | 42.1886 | − | 18.7836i | 1.75330 | − | 0.780619i | ||||
\(580\) | −17.4015 | − | 1.88141i | −0.722558 | − | 0.0781213i | ||||
\(581\) | 4.05686 | − | 8.23950i | 0.168307 | − | 0.341832i | ||||
\(582\) | −6.34861 | + | 6.34861i | −0.263158 | + | 0.263158i | ||||
\(583\) | −18.5050 | + | 22.8517i | −0.766397 | + | 0.946422i | ||||
\(584\) | −2.17496 | + | 2.41554i | −0.0900006 | + | 0.0999558i | ||||
\(585\) | −14.0159 | − | 0.776425i | −0.579486 | − | 0.0321012i | ||||
\(586\) | 4.09615 | − | 3.68819i | 0.169211 | − | 0.152358i | ||||
\(587\) | 8.81418 | − | 17.2988i | 0.363800 | − | 0.713998i | −0.634460 | − | 0.772955i | \(-0.718778\pi\) |
0.998261 | + | 0.0589574i | \(0.0187776\pi\) | |||||||
\(588\) | −0.741595 | + | 29.7434i | −0.0305829 | + | 1.22660i | ||||
\(589\) | 0.362534 | + | 0.117795i | 0.0149380 | + | 0.00485364i | ||||
\(590\) | 15.5989 | + | 2.51830i | 0.642198 | + | 0.103677i | ||||
\(591\) | −56.9823 | − | 51.3071i | −2.34394 | − | 2.11049i | ||||
\(592\) | −3.23735 | + | 1.24270i | −0.133054 | + | 0.0510747i | ||||
\(593\) | −4.61082 | − | 17.2078i | −0.189344 | − | 0.706640i | −0.993659 | − | 0.112437i | \(-0.964134\pi\) |
0.804315 | − | 0.594203i | \(-0.202532\pi\) | |||||||
\(594\) | 39.3724 | − | 28.6057i | 1.61547 | − | 1.17371i | ||||
\(595\) | 2.36230 | − | 1.95532i | 0.0968448 | − | 0.0801601i | ||||
\(596\) | −2.43630 | − | 1.77007i | −0.0997945 | − | 0.0725050i | ||||
\(597\) | 1.09705 | − | 2.85792i | 0.0448994 | − | 0.116967i | ||||
\(598\) | 2.07297 | − | 3.19210i | 0.0847702 | − | 0.130535i | ||||
\(599\) | 12.9831 | − | 7.49578i | 0.530474 | − | 0.306269i | −0.210735 | − | 0.977543i | \(-0.567586\pi\) |
0.741209 | + | 0.671274i | \(0.234253\pi\) | |||||||
\(600\) | 41.4178 | − | 8.54599i | 1.69088 | − | 0.348889i | ||||
\(601\) | − | 20.7383i | − | 0.845932i | −0.906145 | − | 0.422966i | \(-0.860989\pi\) | ||
0.906145 | − | 0.422966i | \(-0.139011\pi\) | |||||||
\(602\) | 3.80837 | + | 8.24741i | 0.155217 | + | 0.336139i | ||||
\(603\) | 1.50706 | + | 9.51522i | 0.0613723 | + | 0.387490i | ||||
\(604\) | −6.82315 | − | 15.3250i | −0.277630 | − | 0.623567i | ||||
\(605\) | −27.3678 | − | 15.9097i | −1.11266 | − | 0.646822i | ||||
\(606\) | −22.8099 | − | 10.1556i | −0.926588 | − | 0.412544i | ||||
\(607\) | 20.9910 | − | 5.62452i | 0.851999 | − | 0.228292i | 0.193711 | − | 0.981059i | \(-0.437948\pi\) |
0.658288 | + | 0.752766i | \(0.271281\pi\) | |||||||
\(608\) | −1.01486 | + | 6.40757i | −0.0411580 | + | 0.259861i | ||||
\(609\) | 46.5154 | + | 11.7824i | 1.88490 | + | 0.477448i | ||||
\(610\) | −2.51124 | − | 0.680912i | −0.101677 | − | 0.0275693i | ||||
\(611\) | 7.82946 | + | 8.69550i | 0.316746 | + | 0.351782i | ||||
\(612\) | 4.80112 | − | 0.251616i | 0.194074 | − | 0.0101710i | ||||
\(613\) | −7.07221 | + | 0.370639i | −0.285644 | + | 0.0149700i | −0.194620 | − | 0.980879i | \(-0.562347\pi\) |
−0.0910239 | + | 0.995849i | \(0.529014\pi\) | |||||||
\(614\) | 3.11999 | + | 3.46510i | 0.125913 | + | 0.139840i | ||||
\(615\) | −2.46125 | − | 49.8023i | −0.0992472 | − | 2.00822i | ||||
\(616\) | −34.6713 | − | 8.78228i | −1.39694 | − | 0.353848i | ||||
\(617\) | 1.94396 | − | 12.2737i | 0.0782608 | − | 0.494119i | −0.917159 | − | 0.398521i | \(-0.869524\pi\) |
0.995420 | − | 0.0955982i | \(-0.0304764\pi\) | |||||||
\(618\) | 18.0877 | − | 4.84659i | 0.727595 | − | 0.194959i | ||||
\(619\) | 25.0310 | + | 11.1445i | 1.00608 | + | 0.447937i | 0.842560 | − | 0.538603i | \(-0.181048\pi\) |
0.163522 | + | 0.986540i | \(0.447714\pi\) | |||||||
\(620\) | −1.03156 | + | 0.105315i | −0.0414284 | + | 0.00422953i | ||||
\(621\) | −25.3815 | − | 57.0079i | −1.01853 | − | 2.28765i | ||||
\(622\) | −3.11255 | − | 19.6519i | −0.124802 | − | 0.787969i | ||||
\(623\) | −3.48548 | − | 7.54815i | −0.139643 | − | 0.302410i | ||||
\(624\) | 1.56282i | 0.0625628i | ||||||||
\(625\) | −20.0489 | − | 14.9346i | −0.801954 | − | 0.597385i | ||||
\(626\) | −4.97403 | + | 2.87176i | −0.198802 | + | 0.114778i | ||||
\(627\) | 9.54440 | − | 14.6971i | 0.381167 | − | 0.586945i | ||||
\(628\) | −8.16739 | + | 21.2768i | −0.325914 | + | 0.849036i | ||||
\(629\) | −2.67675 | − | 1.94477i | −0.106729 | − | 0.0775432i | ||||
\(630\) | −32.4877 | + | 2.05258i | −1.29434 | + | 0.0817766i | ||||
\(631\) | 29.5709 | − | 21.4845i | 1.17720 | − | 0.855286i | 0.185347 | − | 0.982673i | \(-0.440659\pi\) |
0.991853 | + | 0.127387i | \(0.0406590\pi\) | |||||||
\(632\) | 3.39187 | + | 12.6586i | 0.134921 | + | 0.503534i | ||||
\(633\) | 83.7214 | − | 32.1376i | 3.32762 | − | 1.27736i | ||||
\(634\) | −4.10650 | − | 3.69751i | −0.163090 | − | 0.146847i | ||||
\(635\) | −9.41305 | + | 18.3389i | −0.373545 | + | 0.727756i | ||||
\(636\) | 23.6985 | + | 7.70010i | 0.939705 | + | 0.305329i | ||||
\(637\) | −3.06895 | − | 5.63547i | −0.121596 | − | 0.223285i | ||||
\(638\) | −10.5738 | + | 20.7522i | −0.418619 | + | 0.821587i | ||||
\(639\) | 38.7731 | − | 34.9114i | 1.53384 | − | 1.38107i | ||||
\(640\) | −5.01624 | − | 18.9465i | −0.198284 | − | 0.748925i | ||||
\(641\) | 29.7244 | − | 33.0123i | 1.17404 | − | 1.30391i | 0.230339 | − | 0.973110i | \(-0.426016\pi\) |
0.943703 | − | 0.330795i | \(-0.107317\pi\) | |||||||
\(642\) | −2.47515 | + | 3.05655i | −0.0976863 | + | 0.120633i | ||||
\(643\) | 9.86123 | − | 9.86123i | 0.388889 | − | 0.388889i | −0.485402 | − | 0.874291i | \(-0.661327\pi\) |
0.874291 | + | 0.485402i | \(0.161327\pi\) | |||||||
\(644\) | −8.17960 | + | 16.6128i | −0.322321 | + | 0.654636i | ||||
\(645\) | 26.0135 | − | 14.9157i | 1.02428 | − | 0.587306i | ||||
\(646\) | −0.423601 | + | 0.188599i | −0.0166663 | + | 0.00742033i | ||||
\(647\) | 37.7000 | − | 30.5289i | 1.48214 | − | 1.20021i | 0.551554 | − | 0.834139i | \(-0.314035\pi\) |
0.930586 | − | 0.366074i | \(-0.119298\pi\) | |||||||
\(648\) | −39.2236 | − | 25.4721i | −1.54085 | − | 1.00064i | ||||
\(649\) | −22.0556 | + | 38.2014i | −0.865759 | + | 1.49954i | ||||
\(650\) | −2.75148 | + | 2.44791i | −0.107922 | + | 0.0960151i | ||||
\(651\) | 2.84061 | + | 0.109827i | 0.111332 | + | 0.00430445i | ||||
\(652\) | 11.1900 | + | 21.9616i | 0.438235 | + | 0.860084i | ||||
\(653\) | −42.3671 | − | 16.2632i | −1.65795 | − | 0.636428i | −0.664151 | − | 0.747599i | \(-0.731207\pi\) |
−0.993801 | + | 0.111171i | \(0.964540\pi\) | |||||||
\(654\) | 1.57478 | − | 14.9830i | 0.0615786 | − | 0.585882i | ||||
\(655\) | −8.37594 | − | 9.35835i | −0.327275 | − | 0.365661i | ||||
\(656\) | −3.83914 | + | 0.403510i | −0.149893 | + | 0.0157544i | ||||
\(657\) | −5.83988 | − | 5.83988i | −0.227835 | − | 0.227835i | ||||
\(658\) | 20.4119 | + | 17.8781i | 0.795737 | + | 0.696962i | ||||
\(659\) | 22.0985 | − | 7.18025i | 0.860837 | − | 0.279703i | 0.154859 | − | 0.987937i | \(-0.450508\pi\) |
0.705978 | + | 0.708234i | \(0.250508\pi\) | |||||||
\(660\) | −7.59744 | + | 47.0604i | −0.295730 | + | 1.83182i | ||||
\(661\) | −2.48937 | − | 11.7116i | −0.0968254 | − | 0.455528i | −0.999673 | − | 0.0255671i | \(-0.991861\pi\) |
0.902848 | − | 0.429960i | \(-0.141472\pi\) | |||||||
\(662\) | 0.774242 | + | 14.7734i | 0.0300918 | + | 0.574186i | ||||
\(663\) | −1.25058 | + | 0.812139i | −0.0485686 | + | 0.0315408i | ||||
\(664\) | 2.89110 | − | 8.89790i | 0.112197 | − | 0.345306i | ||||
\(665\) | −5.98813 | + | 2.74349i | −0.232210 | + | 0.106388i | ||||
\(666\) | 10.8534 | + | 33.4034i | 0.420562 | + | 1.29436i | ||||
\(667\) | 23.2090 | + | 18.7942i | 0.898654 | + | 0.727716i | ||||
\(668\) | −0.442538 | − | 0.118578i | −0.0171223 | − | 0.00458790i | ||||
\(669\) | −28.5483 | + | 64.1206i | −1.10374 | + | 2.47905i | ||||
\(670\) | 2.04035 | + | 1.49171i | 0.0788255 | + | 0.0576297i | ||||
\(671\) | 4.26953 | − | 5.87650i | 0.164823 | − | 0.226860i | ||||
\(672\) | 5.71654 | + | 48.0411i | 0.220520 | + | 1.85323i | ||||
\(673\) | −20.5664 | + | 10.4791i | −0.792775 | + | 0.403939i | −0.802978 | − | 0.596009i | \(-0.796752\pi\) |
0.0102030 | + | 0.999948i | \(0.496752\pi\) | |||||||
\(674\) | −8.77620 | − | 5.06694i | −0.338046 | − | 0.195171i | ||||
\(675\) | 9.09003 | + | 59.6923i | 0.349875 | + | 2.29756i | ||||
\(676\) | 8.23459 | + | 14.2627i | 0.316715 | + | 0.548566i | ||||
\(677\) | 0.604301 | − | 11.5308i | 0.0232252 | − | 0.443163i | −0.962124 | − | 0.272613i | \(-0.912112\pi\) |
0.985349 | − | 0.170550i | \(-0.0545545\pi\) | |||||||
\(678\) | 6.28809 | − | 0.995936i | 0.241493 | − | 0.0382487i | ||||
\(679\) | −1.34598 | + | 9.32416i | −0.0516539 | + | 0.357828i | ||||
\(680\) | 2.09719 | − | 2.31526i | 0.0804237 | − | 0.0887861i | ||||
\(681\) | 1.83021 | + | 17.4132i | 0.0701336 | + | 0.667277i | ||||
\(682\) | −0.357120 | + | 1.33279i | −0.0136748 | + | 0.0510352i | ||||
\(683\) | 5.18841 | + | 13.5163i | 0.198529 | + | 0.517186i | 0.996316 | − | 0.0857529i | \(-0.0273296\pi\) |
−0.797787 | + | 0.602939i | \(0.793996\pi\) | |||||||
\(684\) | −10.1009 | − | 2.14701i | −0.386217 | − | 0.0820931i | ||||
\(685\) | 7.53057 | − | 6.06107i | 0.287728 | − | 0.231582i | ||||
\(686\) | −8.61116 | − | 12.1361i | −0.328776 | − | 0.463358i | ||||
\(687\) | −44.5713 | − | 22.7102i | −1.70050 | − | 0.866448i | ||||
\(688\) | −1.26437 | − | 1.94695i | −0.0482036 | − | 0.0742270i | ||||
\(689\) | −5.25678 | + | 1.11736i | −0.200267 | + | 0.0425681i | ||||
\(690\) | −27.1688 | − | 10.5221i | −1.03430 | − | 0.400570i | ||||
\(691\) | −9.11485 | + | 42.8820i | −0.346745 | + | 1.63131i | 0.366518 | + | 0.930411i | \(0.380550\pi\) |
−0.713263 | + | 0.700896i | \(0.752784\pi\) | |||||||
\(692\) | 23.8124 | + | 3.77152i | 0.905213 | + | 0.143372i | ||||
\(693\) | 26.8943 | − | 86.8056i | 1.02163 | − | 3.29747i | ||||
\(694\) | 4.86115 | + | 6.69080i | 0.184527 | + | 0.253979i | ||||
\(695\) | −13.7179 | + | 4.41206i | −0.520348 | + | 0.167359i | ||||
\(696\) | 48.6139 | + | 5.10952i | 1.84270 | + | 0.193676i | ||||
\(697\) | −2.31795 | − | 2.86243i | −0.0877986 | − | 0.108422i | ||||
\(698\) | −9.04857 | − | 0.474216i | −0.342494 | − | 0.0179493i | ||||
\(699\) | 38.5425 | 1.45781 | ||||||||
\(700\) | 11.8853 | − | 13.4077i | 0.449222 | − | 0.506762i | ||||
\(701\) | −30.4358 | −1.14955 | −0.574773 | − | 0.818313i | \(-0.694910\pi\) | ||||
−0.574773 | + | 0.818313i | \(0.694910\pi\) | |||||||
\(702\) | 8.88255 | + | 0.465515i | 0.335250 | + | 0.0175697i | ||||
\(703\) | 4.47239 | + | 5.52294i | 0.168679 | + | 0.208302i | ||||
\(704\) | −17.9343 | − | 1.88498i | −0.675926 | − | 0.0710427i | ||||
\(705\) | 52.8625 | − | 72.3050i | 1.99092 | − | 2.72316i | ||||
\(706\) | 7.85780 | + | 10.8153i | 0.295732 | + | 0.407041i | ||||
\(707\) | −25.5495 | + | 5.79808i | −0.960888 | + | 0.218059i | ||||
\(708\) | 36.9204 | + | 5.84762i | 1.38755 | + | 0.219767i | ||||
\(709\) | −0.889983 | + | 4.18704i | −0.0334240 | + | 0.157248i | −0.991695 | − | 0.128615i | \(-0.958947\pi\) |
0.958271 | + | 0.285863i | \(0.0922801\pi\) | |||||||
\(710\) | 0.757114 | − | 13.6673i | 0.0284140 | − | 0.512924i | ||||
\(711\) | −32.5706 | + | 6.92309i | −1.22149 | + | 0.259636i | ||||
\(712\) | −4.61281 | − | 7.10310i | −0.172872 | − | 0.266200i | ||||
\(713\) | 1.57641 | + | 0.803220i | 0.0590370 | + | 0.0300808i | ||||
\(714\) | −2.65724 | + | 2.21281i | −0.0994445 | + | 0.0828125i | ||||
\(715\) | −3.65584 | − | 9.60927i | −0.136721 | − | 0.359366i | ||||
\(716\) | 13.0623 | + | 2.77648i | 0.488162 | + | 0.103762i | ||||
\(717\) | −16.9746 | − | 44.2203i | −0.633927 | − | 1.65144i | ||||
\(718\) | 3.61042 | − | 13.4743i | 0.134740 | − | 0.502856i | ||||
\(719\) | 1.92780 | + | 18.3418i | 0.0718947 | + | 0.684033i | 0.969810 | + | 0.243864i | \(0.0784149\pi\) |
−0.897915 | + | 0.440169i | \(0.854918\pi\) | |||||||
\(720\) | 8.14212 | − | 1.70532i | 0.303439 | − | 0.0635535i | ||||
\(721\) | 12.1547 | − | 15.4381i | 0.452667 | − | 0.574945i | ||||
\(722\) | −14.0946 | + | 2.23236i | −0.524545 | + | 0.0830798i | ||||
\(723\) | −3.81205 | + | 72.7383i | −0.141772 | + | 2.70517i | ||||
\(724\) | 14.5351 | + | 25.1755i | 0.540193 | + | 0.935641i | ||||
\(725\) | −16.8453 | − | 23.4785i | −0.625619 | − | 0.871971i | ||||
\(726\) | 30.9143 | + | 17.8484i | 1.14734 | + | 0.662415i | ||||
\(727\) | −30.7663 | + | 15.6762i | −1.14106 | + | 0.581398i | −0.919243 | − | 0.393690i | \(-0.871198\pi\) |
−0.221816 | + | 0.975089i | \(0.571198\pi\) | |||||||
\(728\) | −3.91447 | − | 5.23527i | −0.145080 | − | 0.194032i | ||||
\(729\) | 3.02204 | − | 4.15948i | 0.111927 | − | 0.154055i | ||||
\(730\) | −2.16675 | − | 0.00645606i | −0.0801948 | − | 0.000238950i | ||||
\(731\) | 0.900929 | − | 2.02352i | 0.0333221 | − | 0.0748426i | ||||
\(732\) | −5.94569 | − | 1.59314i | −0.219759 | − | 0.0588843i | ||||
\(733\) | 21.7471 | + | 17.6104i | 0.803247 | + | 0.650456i | 0.940391 | − | 0.340095i | \(-0.110459\pi\) |
−0.137144 | + | 0.990551i | \(0.543792\pi\) | |||||||
\(734\) | −1.85303 | − | 5.70305i | −0.0683967 | − | 0.210504i | ||||
\(735\) | −37.4063 | + | 31.8364i | −1.37975 | + | 1.17430i | ||||
\(736\) | −9.30467 | + | 28.6368i | −0.342975 | + | 1.05557i | ||||
\(737\) | −5.91764 | + | 3.84296i | −0.217979 | + | 0.141557i | ||||
\(738\) | 2.04629 | + | 39.0455i | 0.0753249 | + | 1.43728i | ||||
\(739\) | 1.73453 | + | 8.16031i | 0.0638056 | + | 0.300182i | 0.998467 | − | 0.0553586i | \(-0.0176302\pi\) |
−0.934661 | + | 0.355540i | \(0.884297\pi\) | |||||||
\(740\) | −17.1985 | − | 8.82770i | −0.632228 | − | 0.324513i | ||||
\(741\) | 3.04611 | − | 0.989740i | 0.111902 | − | 0.0363590i | ||||
\(742\) | −11.7988 | + | 4.01340i | −0.433149 | + | 0.147337i | ||||
\(743\) | −31.5650 | − | 31.5650i | −1.15801 | − | 1.15801i | −0.984903 | − | 0.173106i | \(-0.944620\pi\) |
−0.173106 | − | 0.984903i | \(-0.555380\pi\) | |||||||
\(744\) | 2.88002 | − | 0.302702i | 0.105587 | − | 0.0110976i | ||||
\(745\) | −0.504951 | − | 4.94601i | −0.0185000 | − | 0.181208i | ||||
\(746\) | 2.47884 | − | 23.5846i | 0.0907569 | − | 0.863495i | ||||
\(747\) | 22.1927 | + | 8.51899i | 0.811989 | + | 0.311694i | ||||
\(748\) | 1.59861 | + | 3.13745i | 0.0584510 | + | 0.114717i | ||||
\(749\) | −0.159440 | + | 4.12382i | −0.00582580 | + | 0.150681i | ||||
\(750\) | 22.6579 | + | 16.7734i | 0.827351 | + | 0.612479i | ||||
\(751\) | 22.8072 | − | 39.5032i | 0.832247 | − | 1.44149i | −0.0640055 | − | 0.997950i | \(-0.520388\pi\) |
0.896252 | − | 0.443544i | \(-0.146279\pi\) | |||||||
\(752\) | −5.81549 | − | 3.77662i | −0.212069 | − | 0.137719i | ||||
\(753\) | 54.0497 | − | 43.7686i | 1.96968 | − | 1.59502i | ||||
\(754\) | −3.88877 | + | 1.73139i | −0.141621 | + | 0.0630535i | ||||
\(755\) | 11.3400 | − | 25.2672i | 0.412706 | − | 0.919569i | ||||
\(756\) | −43.1795 | + | 2.85728i | −1.57042 | + | 0.103918i | ||||
\(757\) | 11.9819 | − | 11.9819i | 0.435488 | − | 0.435488i | −0.455002 | − | 0.890490i | \(-0.650362\pi\) |
0.890490 | + | 0.455002i | \(0.150362\pi\) | |||||||
\(758\) | 0.480792 | − | 0.593728i | 0.0174631 | − | 0.0215652i | ||||
\(759\) | 54.4247 | − | 60.4447i | 1.97549 | − | 2.19401i | ||||
\(760\) | −5.63821 | + | 3.63766i | −0.204519 | + | 0.131952i | ||||
\(761\) | −17.1557 | + | 15.4470i | −0.621892 | + | 0.559954i | −0.918687 | − | 0.394987i | \(-0.870749\pi\) |
0.296794 | + | 0.954941i | \(0.404082\pi\) | |||||||
\(762\) | 10.5528 | − | 20.7111i | 0.382289 | − | 0.750285i | ||||
\(763\) | −8.09106 | − | 13.5805i | −0.292916 | − | 0.491647i | ||||
\(764\) | 0.934503 | + | 0.303638i | 0.0338091 | + | 0.0109852i | ||||
\(765\) | 5.59577 | + | 5.62921i | 0.202315 | + | 0.203525i | ||||
\(766\) | 6.05342 | + | 5.45053i | 0.218719 | + | 0.196936i | ||||
\(767\) | −7.52662 | + | 2.88920i | −0.271770 | + | 0.104323i | ||||
\(768\) | 11.5606 | + | 43.1446i | 0.417155 | + | 1.55685i | ||||
\(769\) | −33.2899 | + | 24.1865i | −1.20046 | + | 0.872188i | −0.994330 | − | 0.106336i | \(-0.966088\pi\) |
−0.206133 | + | 0.978524i | \(0.566088\pi\) | |||||||
\(770\) | −11.0515 | − | 21.1259i | −0.398267 | − | 0.761325i | ||||
\(771\) | −0.598719 | − | 0.434994i | −0.0215623 | − | 0.0156659i | ||||
\(772\) | 7.14280 | − | 18.6076i | 0.257075 | − | 0.669703i | ||||
\(773\) | 9.85916 | − | 15.1818i | 0.354609 | − | 0.546050i | −0.615681 | − | 0.787996i | \(-0.711119\pi\) |
0.970290 | + | 0.241945i | \(0.0777855\pi\) | |||||||
\(774\) | −20.3630 | + | 11.7566i | −0.731933 | + | 0.422582i | ||||
\(775\) | −1.26535 | − | 1.15305i | −0.0454525 | − | 0.0414188i | ||||
\(776\) | 9.59695i | 0.344510i | ||||||||
\(777\) | 43.2996 | + | 30.5605i | 1.55337 | + | 1.09635i | ||||
\(778\) | −1.69136 | − | 10.6788i | −0.0606381 | − | 0.382854i | ||||
\(779\) | 3.21783 | + | 7.22737i | 0.115291 | + | 0.258947i | ||||
\(780\) | −6.49197 | + | 5.81047i | −0.232450 | + | 0.208048i | ||||
\(781\) | 34.9096 | + | 15.5428i | 1.24916 | + | 0.556164i | ||||
\(782\) | −2.07881 | + | 0.557016i | −0.0743382 | + | 0.0199189i | ||||
\(783\) | −10.9178 | + | 68.9320i | −0.390169 | + | 2.46343i | ||||
\(784\) | 2.62111 | + | 2.75516i | 0.0936111 | + | 0.0983985i | ||||
\(785\) | −35.1669 | + | 13.3792i | −1.25516 | + | 0.477525i | ||||
\(786\) | 9.47643 | + | 10.5246i | 0.338013 | + | 0.375401i | ||||
\(787\) | −15.3321 | + | 0.803521i | −0.546530 | + | 0.0286424i | −0.323603 | − | 0.946193i | \(-0.604894\pi\) |
−0.222927 | + | 0.974835i | \(0.571561\pi\) | |||||||
\(788\) | −33.0480 | + | 1.73197i | −1.17728 | + | 0.0616989i | ||||
\(789\) | −48.0915 | − | 53.4110i | −1.71210 | − | 1.90148i | ||||
\(790\) | −4.77977 | + | 7.31240i | −0.170056 | + | 0.260164i | ||||
\(791\) | 4.65843 | − | 4.78800i | 0.165635 | − | 0.170242i | ||||
\(792\) | 14.4820 | − | 91.4358i | 0.514596 | − | 3.24903i | ||||
\(793\) | 1.28234 | − | 0.343602i | 0.0455373 | − | 0.0122017i | ||||
\(794\) | −19.8006 | − | 8.81579i | −0.702697 | − | 0.312861i | ||||
\(795\) | 16.6205 | + | 37.6316i | 0.589468 | + | 1.33465i | ||||
\(796\) | −0.537385 | − | 1.20699i | −0.0190471 | − | 0.0427805i | ||||
\(797\) | 2.39964 | + | 15.1507i | 0.0849997 | + | 0.536667i | 0.993039 | + | 0.117783i | \(0.0375787\pi\) |
−0.908040 | + | 0.418884i | \(0.862421\pi\) | |||||||
\(798\) | 6.74319 | − | 3.11377i | 0.238706 | − | 0.110226i | ||||
\(799\) | − | 6.61618i | − | 0.234064i | ||||||
\(800\) | 16.0132 | − | 24.3394i | 0.566153 | − | 0.860528i | ||||
\(801\) | 18.6365 | − | 10.7598i | 0.658489 | − | 0.380179i | ||||
\(802\) | 6.69659 | − | 10.3118i | 0.236465 | − | 0.364124i | ||||
\(803\) | 2.16773 | − | 5.64714i | 0.0764977 | − | 0.199283i | ||||
\(804\) | 4.83740 | + | 3.51458i | 0.170602 | + | 0.123950i | ||||
\(805\) | −29.4428 | + | 8.22898i | −1.03772 | + | 0.290033i | ||||
\(806\) | −0.204021 | + | 0.148230i | −0.00718632 | + | 0.00522117i | ||||
\(807\) | −8.67043 | − | 32.3585i | −0.305214 | − | 1.13907i | ||||
\(808\) | −24.9163 | + | 9.56448i | −0.876553 | + | 0.336477i | ||||
\(809\) | −15.3954 | − | 13.8621i | −0.541275 | − | 0.487366i | 0.352544 | − | 0.935795i | \(-0.385317\pi\) |
−0.893818 | + | 0.448430i | \(0.851984\pi\) | |||||||
\(810\) | −4.78527 | − | 30.8068i | −0.168137 | − | 1.08244i | ||||
\(811\) | −27.8184 | − | 9.03875i | −0.976837 | − | 0.317394i | −0.223264 | − | 0.974758i | \(-0.571671\pi\) |
−0.753573 | + | 0.657364i | \(0.771671\pi\) | |||||||
\(812\) | 17.7914 | − | 10.5999i | 0.624357 | − | 0.371983i | ||||
\(813\) | −26.3122 | + | 51.6407i | −0.922811 | + | 1.81112i | ||||
\(814\) | −19.1168 | + | 17.2129i | −0.670045 | + | 0.603311i | ||||
\(815\) | −14.6961 | + | 37.9464i | −0.514783 | + | 1.32920i | ||||
\(816\) | 0.591298 | − | 0.656703i | 0.0206996 | − | 0.0229892i | ||||
\(817\) | −2.99410 | + | 3.69741i | −0.104750 | + | 0.129356i | ||||
\(818\) | 7.37305 | − | 7.37305i | 0.257793 | − | 0.257793i | ||||
\(819\) | 13.8043 | − | 9.23625i | 0.482361 | − | 0.322741i | ||||
\(820\) | −15.9499 | − | 14.4476i | −0.556994 | − | 0.504533i | ||||
\(821\) | 27.1109 | − | 12.0706i | 0.946179 | − | 0.421266i | 0.125140 | − | 0.992139i | \(-0.460062\pi\) |
0.821038 | + | 0.570873i | \(0.193395\pi\) | |||||||
\(822\) | −8.47136 | + | 6.85997i | −0.295472 | + | 0.239269i | ||||
\(823\) | 12.4789 | + | 8.10388i | 0.434986 | + | 0.282484i | 0.743499 | − | 0.668737i | \(-0.233165\pi\) |
−0.308513 | + | 0.951220i | \(0.599831\pi\) | |||||||
\(824\) | 10.0081 | − | 17.3345i | 0.348647 | − | 0.603875i | ||||
\(825\) | −66.2580 | + | 42.4692i | −2.30681 | + | 1.47859i | ||||
\(826\) | −16.5402 | + | 8.71543i | −0.575506 | + | 0.303249i | ||||
\(827\) | 16.7900 | + | 32.9522i | 0.583844 | + | 1.14586i | 0.974304 | + | 0.225239i | \(0.0723162\pi\) |
−0.390459 | + | 0.920620i | \(0.627684\pi\) | |||||||
\(828\) | −44.7458 | − | 17.1763i | −1.55502 | − | 0.596918i | ||||
\(829\) | 4.28022 | − | 40.7236i | 0.148658 | − | 1.41439i | −0.624920 | − | 0.780689i | \(-0.714869\pi\) |
0.773579 | − | 0.633700i | \(-0.218465\pi\) | |||||||
\(830\) | 5.70498 | − | 2.51968i | 0.198023 | − | 0.0874593i | ||||
\(831\) | 32.5784 | − | 3.42413i | 1.13013 | − | 0.118782i | ||||
\(832\) | −2.33053 | − | 2.33053i | −0.0807967 | − | 0.0807967i | ||||
\(833\) | −0.842612 | + | 3.52919i | −0.0291948 | + | 0.122279i | ||||
\(834\) | 15.4539 | − | 5.02127i | 0.535124 | − | 0.173872i | ||||
\(835\) | −0.341380 | − | 0.674961i | −0.0118140 | − | 0.0233580i | ||||
\(836\) | −1.57251 | − | 7.39807i | −0.0543863 | − | 0.255867i | ||||
\(837\) | 0.216390 | + | 4.12896i | 0.00747952 | + | 0.142718i | ||||
\(838\) | 12.3941 | − | 8.04880i | 0.428146 | − | 0.278041i | ||||
\(839\) | −6.83090 | + | 21.0234i | −0.235829 | + | 0.725807i | 0.761181 | + | 0.648539i | \(0.224620\pi\) |
−0.997010 | + | 0.0772679i | \(0.975380\pi\) | |||||||
\(840\) | −33.0812 | + | 37.5432i | −1.14141 | + | 1.29537i | ||||
\(841\) | −1.35975 | − | 4.18488i | −0.0468879 | − | 0.144306i | ||||
\(842\) | −15.4082 | − | 12.4773i | −0.531003 | − | 0.429998i | ||||
\(843\) | −89.7232 | − | 24.0413i | −3.09023 | − | 0.828025i | ||||
\(844\) | 15.7424 | − | 35.3581i | 0.541877 | − | 1.21707i | ||||
\(845\) | −8.47913 | + | 25.8339i | −0.291691 | + | 0.888713i | ||||
\(846\) | −41.2820 | + | 56.8198i | −1.41930 | + | 1.95350i | ||||
\(847\) | 37.1937 | − | 4.42578i | 1.27799 | − | 0.152072i | ||||
\(848\) | 2.83772 | − | 1.44589i | 0.0974479 | − | 0.0496522i | ||||
\(849\) | 75.7356 | + | 43.7260i | 2.59924 | + | 1.50067i | ||||
\(850\) | 2.08236 | + | 0.0124094i | 0.0714243 | + | 0.000425638i | ||||
\(851\) | 16.4924 | + | 28.5656i | 0.565351 | + | 0.979217i | ||||
\(852\) | 1.69478 | − | 32.3383i | 0.0580621 | − | 1.10789i | ||||
\(853\) | 14.5805 | − | 2.30932i | 0.499226 | − | 0.0790697i | 0.0982567 | − | 0.995161i | \(-0.468673\pi\) |
0.400969 | + | 0.916091i | \(0.368673\pi\) | |||||||
\(854\) | 2.85875 | − | 1.14260i | 0.0978244 | − | 0.0390990i | ||||
\(855\) | −8.48029 | − | 14.7899i | −0.290020 | − | 0.505804i | ||||
\(856\) | 0.439444 | + | 4.18103i | 0.0150199 | + | 0.142905i | ||||
\(857\) | 4.99249 | − | 18.6322i | 0.170540 | − | 0.636465i | −0.826728 | − | 0.562602i | \(-0.809800\pi\) |
0.997268 | − | 0.0738633i | \(-0.0235328\pi\) | |||||||
\(858\) | 4.15473 | + | 10.8234i | 0.141840 | + | 0.369506i | ||||
\(859\) | 29.3200 | + | 6.23216i | 1.00039 | + | 0.212639i | 0.678864 | − | 0.734264i | \(-0.262472\pi\) |
0.321522 | + | 0.946902i | \(0.395806\pi\) | |||||||
\(860\) | 3.38684 | − | 12.4909i | 0.115490 | − | 0.425935i | ||||
\(861\) | 37.7545 | + | 45.3371i | 1.28667 | + | 1.54508i | ||||
\(862\) | 21.9305 | + | 11.1741i | 0.746955 | + | 0.380592i | ||||
\(863\) | −14.0374 | − | 21.6157i | −0.477839 | − | 0.735807i | 0.514749 | − | 0.857341i | \(-0.327885\pi\) |
−0.992587 | + | 0.121534i | \(0.961219\pi\) | |||||||
\(864\) | −68.8289 | + | 14.6300i | −2.34161 | + | 0.497724i | ||||
\(865\) | 21.5788 | + | 33.4462i | 0.733702 | + | 1.13721i | ||||
\(866\) | −4.33318 | + | 20.3860i | −0.147247 | + | 0.692745i | ||||
\(867\) | −51.8593 | − | 8.21371i | −1.76124 | − | 0.278952i | ||||
\(868\) | 0.900420 | − | 0.833385i | 0.0305622 | − | 0.0282869i | ||||
\(869\) | −14.3350 | − | 19.7304i | −0.486282 | − | 0.669309i | ||||
\(870\) | 19.0742 | + | 26.4186i | 0.646676 | + | 0.895674i | ||||
\(871\) | −1.28254 | − | 0.134800i | −0.0434571 | − | 0.00456753i | ||||
\(872\) | −10.1343 | − | 12.5149i | −0.343192 | − | 0.423807i | ||||
\(873\) | −24.3509 | − | 1.27618i | −0.824154 | − | 0.0431921i | ||||
\(874\) | 4.62263 | 0.156363 | ||||||||
\(875\) | 29.5801 | − | 0.141310i | 0.999989 | − | 0.00477715i | ||||
\(876\) | −5.12595 | −0.173190 | ||||||||
\(877\) | −21.5554 | − | 1.12967i | −0.727876 | − | 0.0381463i | −0.315201 | − | 0.949025i | \(-0.602072\pi\) |
−0.412674 | + | 0.910879i | \(0.635405\pi\) | |||||||
\(878\) | 6.73356 | + | 8.31526i | 0.227247 | + | 0.280626i | ||||
\(879\) | 21.4100 | + | 2.25028i | 0.722141 | + | 0.0759000i | ||||
\(880\) | 3.56656 | + | 4.93984i | 0.120229 | + | 0.166522i | ||||
\(881\) | −18.9856 | − | 26.1314i | −0.639640 | − | 0.880388i | 0.358957 | − | 0.933354i | \(-0.383133\pi\) |
−0.998596 | + | 0.0529657i | \(0.983133\pi\) | |||||||
\(882\) | 29.2569 | − | 25.0512i | 0.985131 | − | 0.843517i | ||||
\(883\) | −17.4297 | − | 2.76060i | −0.586557 | − | 0.0929015i | −0.143899 | − | 0.989592i | \(-0.545964\pi\) |
−0.442657 | + | 0.896691i | \(0.645964\pi\) | |||||||
\(884\) | −0.133806 | + | 0.629506i | −0.00450037 | + | 0.0211726i | ||||
\(885\) | 33.4573 | + | 51.8573i | 1.12465 | + | 1.74316i | ||||
\(886\) | −11.8051 | + | 2.50926i | −0.396601 | + | 0.0843001i | ||||
\(887\) | −12.5598 | − | 19.3404i | −0.421717 | − | 0.649387i | 0.562409 | − | 0.826859i | \(-0.309875\pi\) |
−0.984126 | + | 0.177472i | \(0.943208\pi\) | |||||||
\(888\) | 48.1046 | + | 24.5105i | 1.61429 | + | 0.822519i | ||||
\(889\) | −4.14553 | − | 24.0354i | −0.139037 | − | 0.806122i | ||||
\(890\) | 1.47748 | − | 5.44904i | 0.0495253 | − | 0.182652i | ||||
\(891\) | 85.1326 | + | 18.0955i | 2.85205 | + | 0.606222i | ||||
\(892\) | 10.8560 | + | 28.2809i | 0.363486 | + | 0.946914i | ||||
\(893\) | −3.67808 | + | 13.7268i | −0.123082 | + | 0.459349i | ||||
\(894\) | 0.586018 | + | 5.57559i | 0.0195994 | + | 0.186476i | ||||
\(895\) | 10.9666 | + | 19.1261i | 0.366573 | + | 0.639314i | ||||
\(896\) | 18.2206 | + | 14.3455i | 0.608708 | + | 0.479249i | ||||
\(897\) | 14.6826 | − | 2.32550i | 0.490239 | − | 0.0776462i | ||||
\(898\) | −0.162743 | + | 3.10532i | −0.00543080 | + | 0.103626i | ||||
\(899\) | −0.989361 | − | 1.71362i | −0.0329970 | − | 0.0571525i | ||||
\(900\) | 37.3558 | + | 27.4822i | 1.24519 | + | 0.916073i | ||||
\(901\) | 2.63168 | + | 1.51940i | 0.0876739 | + | 0.0506185i | ||||
\(902\) | −25.5156 | + | 13.0008i | −0.849576 | + | 0.432881i | ||||
\(903\) | −13.9852 | + | 32.6078i | −0.465399 | + | 1.08512i | ||||
\(904\) | 3.99998 | − | 5.50549i | 0.133037 | − | 0.183110i | ||||
\(905\) | −14.9667 | + | 45.6001i | −0.497511 | + | 1.51580i | ||||
\(906\) | −12.7025 | + | 28.5303i | −0.422012 | + | 0.947855i | ||||
\(907\) | −39.8182 | − | 10.6692i | −1.32214 | − | 0.354266i | −0.472361 | − | 0.881405i | \(-0.656598\pi\) |
−0.849779 | + | 0.527139i | \(0.823265\pi\) | |||||||
\(908\) | 5.87275 | + | 4.75566i | 0.194894 | + | 0.157822i | ||||
\(909\) | −20.9552 | − | 64.4936i | −0.695041 | − | 2.13912i | ||||
\(910\) | 0.860169 | − | 4.27179i | 0.0285143 | − | 0.141609i | ||||
\(911\) | 0.709840 | − | 2.18466i | 0.0235181 | − | 0.0723812i | −0.938609 | − | 0.344984i | \(-0.887884\pi\) |
0.962127 | + | 0.272603i | \(0.0878844\pi\) | |||||||
\(912\) | −1.59186 | + | 1.03376i | −0.0527117 | + | 0.0342314i | ||||
\(913\) | 0.911208 | + | 17.3869i | 0.0301566 | + | 0.575422i | ||||
\(914\) | −7.07760 | − | 33.2975i | −0.234106 | − | 1.10138i | ||||
\(915\) | −4.58660 | − | 9.06840i | −0.151628 | − | 0.299792i | ||||
\(916\) | −20.5331 | + | 6.67160i | −0.678432 | + | 0.220436i | ||||
\(917\) | 14.5766 | + | 2.88998i | 0.481361 | + | 0.0954355i | ||||
\(918\) | −3.55635 | − | 3.55635i | −0.117377 | − | 0.117377i | ||||
\(919\) | −25.3891 | + | 2.66851i | −0.837511 | + | 0.0880259i | −0.513566 | − | 0.858050i | \(-0.671676\pi\) |
−0.323945 | + | 0.946076i | \(0.605009\pi\) | |||||||
\(920\) | −28.4880 | + | 12.5821i | −0.939220 | + | 0.414819i | ||||
\(921\) | −1.90360 | + | 18.1116i | −0.0627258 | + | 0.596796i | ||||
\(922\) | 17.2643 | + | 6.62715i | 0.568570 | + | 0.218254i | ||||
\(923\) | 3.17074 | + | 6.22293i | 0.104366 | + | 0.204830i | ||||
\(924\) | −26.2936 | − | 49.9000i | −0.864995 | − | 1.64159i | ||||
\(925\) | −8.07654 | − | 30.8769i | −0.265555 | − | 1.01523i | ||||
\(926\) | −7.25389 | + | 12.5641i | −0.238378 | + | 0.412882i | ||||
\(927\) | 42.6529 | + | 27.6991i | 1.40091 | + | 0.909759i | ||||
\(928\) | 26.1708 | − | 21.1927i | 0.859100 | − | 0.695685i | ||||
\(929\) | −41.0517 | + | 18.2774i | −1.34686 | + | 0.599662i | −0.948270 | − | 0.317466i | \(-0.897168\pi\) |
−0.398593 | + | 0.917128i | \(0.630501\pi\) | |||||||
\(930\) | 1.43072 | + | 1.29597i | 0.0469151 | + | 0.0424964i | ||||
\(931\) | 3.71015 | − | 6.85369i | 0.121595 | − | 0.224621i | ||||
\(932\) | 11.7625 | − | 11.7625i | 0.385293 | − | 0.385293i | ||||
\(933\) | 48.9052 | − | 60.3929i | 1.60108 | − | 1.97718i | ||||
\(934\) | 14.7426 | − | 16.3733i | 0.482393 | − | 0.535752i | ||||
\(935\) | −2.09950 | + | 5.42105i | −0.0686610 | + | 0.177287i | ||||
\(936\) | 12.5739 | − | 11.3216i | 0.410989 | − | 0.370057i | ||||
\(937\) | −25.9319 | + | 50.8942i | −0.847158 | + | 1.66264i | −0.102956 | + | 0.994686i | \(0.532830\pi\) |
−0.744202 | + | 0.667955i | \(0.767170\pi\) | |||||||
\(938\) | −2.99029 | + | 0.0410173i | −0.0976363 | + | 0.00133926i | ||||
\(939\) | −21.3345 | − | 6.93200i | −0.696226 | − | 0.226217i | ||||
\(940\) | −5.93349 | − | 38.1989i | −0.193529 | − | 1.24591i | ||||
\(941\) | 24.2474 | + | 21.8325i | 0.790444 | + | 0.711719i | 0.961879 | − | 0.273477i | \(-0.0881736\pi\) |
−0.171435 | + | 0.985195i | \(0.554840\pi\) | |||||||
\(942\) | 39.6104 | − | 15.2050i | 1.29058 | − | 0.495407i | ||||
\(943\) | 9.50367 | + | 35.4682i | 0.309482 | + | 1.15500i | ||||
\(944\) | 3.86527 | − | 2.80828i | 0.125804 | − | 0.0914018i | ||||
\(945\) | −51.0574 | − | 49.9726i | −1.66090 | − | 1.62561i | ||||
\(946\) | −13.9324 | − | 10.1225i | −0.452983 | − | 0.329111i | ||||
\(947\) | −13.1382 | + | 34.2262i | −0.426934 | + | 1.11220i | 0.536415 | + | 0.843954i | \(0.319778\pi\) |
−0.963350 | + | 0.268248i | \(0.913555\pi\) | |||||||
\(948\) | −11.2560 | + | 17.3328i | −0.365579 | + | 0.562942i | ||||
\(949\) | 0.957429 | − | 0.552772i | 0.0310795 | − | 0.0179437i | ||||
\(950\) | −4.31343 | − | 1.18338i | −0.139946 | − | 0.0383938i | ||||
\(951\) | − | 21.5823i | − | 0.699854i | ||||||
\(952\) | −0.335907 | + | 3.68093i | −0.0108868 | + | 0.119300i | ||||
\(953\) | −7.31025 | − | 46.1551i | −0.236802 | − | 1.49511i | −0.763916 | − | 0.645316i | \(-0.776726\pi\) |
0.527113 | − | 0.849795i | \(-0.323274\pi\) | |||||||
\(954\) | −13.1205 | − | 29.4691i | −0.424791 | − | 0.954096i | ||||
\(955\) | 0.655396 | + | 1.48393i | 0.0212081 | + | 0.0480188i | ||||
\(956\) | −18.6756 | − | 8.31490i | −0.604011 | − | 0.268923i | ||||
\(957\) | −87.8669 | + | 23.5439i | −2.84034 | + | 0.761065i | ||||
\(958\) | 4.58964 | − | 28.9779i | 0.148285 | − | 0.936232i | ||||
\(959\) | −2.80853 | + | 11.0877i | −0.0906920 | + | 0.358040i | ||||
\(960\) | −13.8038 | + | 21.1179i | −0.445515 | + | 0.681578i | ||||
\(961\) | 20.6646 | + | 22.9504i | 0.666600 | + | 0.740335i | ||||
\(962\) | −4.69511 | + | 0.246060i | −0.151377 | + | 0.00793331i | ||||
\(963\) | −10.6672 | + | 0.559045i | −0.343746 | + | 0.0180150i | ||||
\(964\) | 21.0351 | + | 23.3618i | 0.677493 | + | 0.752433i | ||||
\(965\) | 30.7553 | − | 11.7008i | 0.990047 | − | 0.376663i | ||||
\(966\) | 33.1731 | − | 9.37819i | 1.06733 | − | 0.301738i | ||||
\(967\) | −1.12542 | + | 7.10565i | −0.0361912 | + | 0.228502i | −0.999154 | − | 0.0411332i | \(-0.986903\pi\) |
0.962962 | + | 0.269635i | \(0.0869032\pi\) | |||||||
\(968\) | 36.8563 | − | 9.87561i | 1.18461 | − | 0.317414i | ||||
\(969\) | −1.65446 | − | 0.736612i | −0.0531488 | − | 0.0236634i | ||||
\(970\) | −4.76691 | + | 4.26649i | −0.153056 | + | 0.136989i | ||||
\(971\) | 9.07173 | + | 20.3754i | 0.291126 | + | 0.653879i | 0.998602 | − | 0.0528579i | \(-0.0168330\pi\) |
−0.707476 | + | 0.706737i | \(0.750166\pi\) | |||||||
\(972\) | −3.86183 | − | 24.3826i | −0.123868 | − | 0.782074i | ||||
\(973\) | 9.83163 | − | 13.9299i | 0.315188 | − | 0.446573i | ||||
\(974\) | 28.9792i | 0.928555i | ||||||||
\(975\) | −14.2959 | − | 1.58874i | −0.457834 | − | 0.0508805i | ||||
\(976\) | −0.681341 | + | 0.393372i | −0.0218092 | + | 0.0125915i | ||||
\(977\) | 31.2438 | − | 48.1113i | 0.999579 | − | 1.53922i | 0.166516 | − | 0.986039i | \(-0.446748\pi\) |
0.833063 | − | 0.553178i | \(-0.186585\pi\) | |||||||
\(978\) | 16.4444 | − | 42.8390i | 0.525832 | − | 1.36984i | ||||
\(979\) | 12.7512 | + | 9.26427i | 0.407529 | + | 0.296087i | ||||
\(980\) | −1.69983 | + | 21.1316i | −0.0542992 | + | 0.675025i | ||||
\(981\) | 33.1024 | − | 24.0503i | 1.05688 | − | 0.767867i | ||||
\(982\) | −1.94739 | − | 7.26776i | −0.0621438 | − | 0.231924i | ||||
\(983\) | −17.3870 | + | 6.67425i | −0.554560 | + | 0.212875i | −0.619477 | − | 0.785015i | \(-0.712655\pi\) |
0.0649169 | + | 0.997891i | \(0.479322\pi\) | |||||||
\(984\) | 44.6644 | + | 40.2160i | 1.42385 | + | 1.28204i | ||||
\(985\) | −38.5178 | − | 38.7480i | −1.22728 | − | 1.23461i | ||||
\(986\) | 2.28915 | + | 0.743790i | 0.0729014 | + | 0.0236871i | ||||
\(987\) | 1.45355 | + | 105.969i | 0.0462671 | + | 3.37302i | ||||
\(988\) | 0.627566 | − | 1.23167i | 0.0199655 | − | 0.0391846i | ||||
\(989\) | −16.4102 | + | 14.7758i | −0.521813 | + | 0.469843i | ||||
\(990\) | 51.8554 | − | 33.4560i | 1.64807 | − | 1.06330i | ||||
\(991\) | −28.2917 | + | 31.4211i | −0.898714 | + | 0.998123i | 0.101280 | + | 0.994858i | \(0.467706\pi\) |
−0.999995 | + | 0.00326534i | \(0.998961\pi\) | |||||||
\(992\) | 1.25552 | − | 1.55043i | 0.0398626 | − | 0.0492263i | ||||
\(993\) | −40.8565 | + | 40.8565i | −1.29654 | + | 1.29654i | ||||
\(994\) | 9.00652 | + | 13.4610i | 0.285670 | + | 0.426956i | ||||
\(995\) | 0.893130 | − | 1.99002i | 0.0283141 | − | 0.0630880i | ||||
\(996\) | 13.4786 | − | 6.00106i | 0.427086 | − | 0.190151i | ||||
\(997\) | 13.2661 | − | 10.7426i | 0.420140 | − | 0.340223i | −0.395823 | − | 0.918327i | \(-0.629541\pi\) |
0.815963 | + | 0.578104i | \(0.196207\pi\) | |||||||
\(998\) | 21.6349 | + | 14.0499i | 0.684841 | + | 0.444741i | ||||
\(999\) | −38.5417 | + | 66.7562i | −1.21941 | + | 2.11207i |
(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 | 175.2.x.a.103.8 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.257.11 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.257.8 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.243.11 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.3.11 | ✓ | 288 | |
25.6 | even | 5 | 875.2.bb.b.768.11 | 288 | |||
25.8 | odd | 20 | 875.2.bb.c.607.8 | 288 | |||
25.17 | odd | 20 | inner | 175.2.x.a.117.11 | yes | 288 | |
25.19 | even | 10 | 875.2.bb.a.768.8 | 288 | |||
35.3 | even | 12 | 875.2.bb.a.507.8 | 288 | |||
35.17 | even | 12 | 875.2.bb.b.507.11 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.493.8 | 288 | |||
175.17 | even | 60 | inner | 175.2.x.a.17.8 | yes | 288 | |
175.31 | odd | 30 | 875.2.bb.b.143.11 | 288 | |||
175.94 | odd | 30 | 875.2.bb.a.143.8 | 288 | |||
175.108 | even | 60 | 875.2.bb.c.857.11 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.11 | ✓ | 288 | 7.3 | odd | 6 | inner | |
175.2.x.a.17.8 | yes | 288 | 175.17 | even | 60 | inner | |
175.2.x.a.103.8 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.117.11 | yes | 288 | 25.17 | odd | 20 | inner | |
875.2.bb.a.143.8 | 288 | 175.94 | odd | 30 | |||
875.2.bb.a.257.8 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.507.8 | 288 | 35.3 | even | 12 | |||
875.2.bb.a.768.8 | 288 | 25.19 | even | 10 | |||
875.2.bb.b.143.11 | 288 | 175.31 | odd | 30 | |||
875.2.bb.b.257.11 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.507.11 | 288 | 35.17 | even | 12 | |||
875.2.bb.b.768.11 | 288 | 25.6 | even | 5 | |||
875.2.bb.c.243.11 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.493.8 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.607.8 | 288 | 25.8 | odd | 20 | |||
875.2.bb.c.857.11 | 288 | 175.108 | even | 60 |