Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.55 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.55 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.345686 | − | 1.37131i | 0.244437 | − | 0.969665i | ||||
\(3\) | −0.245867 | + | 1.71451i | −0.141951 | + | 0.989874i | ||||
\(4\) | −1.76100 | − | 0.948089i | −0.880501 | − | 0.474044i | ||||
\(5\) | 0.286709 | + | 0.326929i | 0.128220 | + | 0.146207i | 0.812387 | − | 0.583118i | \(-0.198168\pi\) |
−0.684167 | + | 0.729325i | \(0.739834\pi\) | |||||||
\(6\) | 2.26614 | + | 0.929844i | 0.925148 | + | 0.379607i | ||||
\(7\) | −0.859540 | − | 0.113161i | −0.324875 | − | 0.0427707i | −0.0336753 | − | 0.999433i | \(-0.510721\pi\) |
−0.291200 | + | 0.956662i | \(0.594055\pi\) | |||||||
\(8\) | −1.90888 | + | 2.08714i | −0.674892 | + | 0.737917i | ||||
\(9\) | −2.87910 | − | 0.843083i | −0.959700 | − | 0.281028i | ||||
\(10\) | 0.547433 | − | 0.280153i | 0.173114 | − | 0.0885921i | ||||
\(11\) | −2.07234 | − | 4.20228i | −0.624833 | − | 1.26704i | −0.947267 | − | 0.320444i | \(-0.896168\pi\) |
0.322434 | − | 0.946592i | \(-0.395499\pi\) | |||||||
\(12\) | 2.05848 | − | 2.78615i | 0.594232 | − | 0.804293i | ||||
\(13\) | −1.47296 | − | 4.33920i | −0.408525 | − | 1.20348i | −0.935418 | − | 0.353544i | \(-0.884976\pi\) |
0.526893 | − | 0.849932i | \(-0.323357\pi\) | |||||||
\(14\) | −0.452310 | + | 1.13958i | −0.120885 | + | 0.304566i | ||||
\(15\) | −0.631015 | + | 0.411185i | −0.162927 | + | 0.106167i | ||||
\(16\) | 2.20226 | + | 3.33917i | 0.550564 | + | 0.834793i | ||||
\(17\) | 2.54210 | + | 2.54210i | 0.616549 | + | 0.616549i | 0.944645 | − | 0.328095i | \(-0.106407\pi\) |
−0.328095 | + | 0.944645i | \(0.606407\pi\) | |||||||
\(18\) | −2.15140 | + | 3.65671i | −0.507089 | + | 0.861894i | ||||
\(19\) | 0.422578 | − | 2.12444i | 0.0969461 | − | 0.487381i | −0.901556 | − | 0.432663i | \(-0.857574\pi\) |
0.998502 | − | 0.0547181i | \(-0.0174260\pi\) | |||||||
\(20\) | −0.194937 | − | 0.847548i | −0.0435893 | − | 0.189517i | ||||
\(21\) | 0.405347 | − | 1.44587i | 0.0884540 | − | 0.315514i | ||||
\(22\) | −6.47903 | + | 1.38915i | −1.38133 | + | 0.296168i | ||||
\(23\) | −1.19003 | − | 9.03919i | −0.248139 | − | 1.88480i | −0.432036 | − | 0.901856i | \(-0.642205\pi\) |
0.183898 | − | 0.982945i | \(-0.441129\pi\) | |||||||
\(24\) | −3.10910 | − | 3.78596i | −0.634643 | − | 0.772806i | ||||
\(25\) | 0.627950 | − | 4.76976i | 0.125590 | − | 0.953951i | ||||
\(26\) | −6.45958 | + | 0.519887i | −1.26683 | + | 0.101958i | ||||
\(27\) | 2.15335 | − | 4.72896i | 0.414413 | − | 0.910089i | ||||
\(28\) | 1.40636 | + | 1.01420i | 0.265778 | + | 0.191665i | ||||
\(29\) | 3.70220 | − | 0.242655i | 0.687481 | − | 0.0450599i | 0.282340 | − | 0.959314i | \(-0.408889\pi\) |
0.405141 | + | 0.914254i | \(0.367223\pi\) | |||||||
\(30\) | 0.345730 | + | 1.00746i | 0.0631213 | + | 0.183936i | ||||
\(31\) | −7.63171 | + | 4.40617i | −1.37070 | + | 0.791372i | −0.991016 | − | 0.133746i | \(-0.957299\pi\) |
−0.379680 | + | 0.925118i | \(0.623966\pi\) | |||||||
\(32\) | 5.34034 | − | 1.86568i | 0.944048 | − | 0.329808i | ||||
\(33\) | 7.71438 | − | 2.51984i | 1.34290 | − | 0.438648i | ||||
\(34\) | 4.36478 | − | 2.60724i | 0.748554 | − | 0.447139i | ||||
\(35\) | −0.209442 | − | 0.313452i | −0.0354022 | − | 0.0529831i | ||||
\(36\) | 4.27078 | + | 4.21431i | 0.711797 | + | 0.702385i | ||||
\(37\) | 1.03248 | + | 5.19062i | 0.169738 | + | 0.853332i | 0.967986 | + | 0.251003i | \(0.0807605\pi\) |
−0.798248 | + | 0.602329i | \(0.794240\pi\) | |||||||
\(38\) | −2.76720 | − | 1.31388i | −0.448899 | − | 0.213139i | ||||
\(39\) | 7.80175 | − | 1.45854i | 1.24928 | − | 0.233553i | ||||
\(40\) | −1.22964 | − | 0.0256655i | −0.194423 | − | 0.00405808i | ||||
\(41\) | −0.367026 | − | 2.78784i | −0.0573198 | − | 0.435387i | −0.995910 | − | 0.0903528i | \(-0.971201\pi\) |
0.938590 | − | 0.345035i | \(-0.112133\pi\) | |||||||
\(42\) | −1.84262 | − | 1.05568i | −0.284322 | − | 0.162894i | ||||
\(43\) | −3.66588 | + | 1.80781i | −0.559041 | + | 0.275689i | −0.699780 | − | 0.714358i | \(-0.746719\pi\) |
0.140739 | + | 0.990047i | \(0.455052\pi\) | |||||||
\(44\) | −0.334749 | + | 9.36499i | −0.0504653 | + | 1.41183i | ||||
\(45\) | −0.549835 | − | 1.18298i | −0.0819646 | − | 0.176348i | ||||
\(46\) | −12.8069 | − | 1.49282i | −1.88828 | − | 0.220104i | ||||
\(47\) | −11.0865 | + | 2.97061i | −1.61713 | + | 0.433309i | −0.950157 | − | 0.311773i | \(-0.899077\pi\) |
−0.666973 | + | 0.745082i | \(0.732410\pi\) | |||||||
\(48\) | −6.26651 | + | 2.95480i | −0.904493 | + | 0.426489i | ||||
\(49\) | −6.03548 | − | 1.61720i | −0.862211 | − | 0.231029i | ||||
\(50\) | −6.32376 | − | 2.50996i | −0.894315 | − | 0.354962i | ||||
\(51\) | −4.98347 | + | 3.73344i | −0.697826 | + | 0.522786i | ||||
\(52\) | −1.52006 | + | 9.03783i | −0.210794 | + | 1.25332i | ||||
\(53\) | 3.13171 | − | 4.68693i | 0.430173 | − | 0.643799i | −0.551544 | − | 0.834146i | \(-0.685961\pi\) |
0.981717 | + | 0.190346i | \(0.0609611\pi\) | |||||||
\(54\) | −5.74051 | − | 4.58766i | −0.781184 | − | 0.624301i | ||||
\(55\) | 0.779690 | − | 1.88234i | 0.105133 | − | 0.253814i | ||||
\(56\) | 1.87694 | − | 1.57797i | 0.250817 | − | 0.210866i | ||||
\(57\) | 3.53849 | + | 1.24685i | 0.468684 | + | 0.165149i | ||||
\(58\) | 0.947044 | − | 5.16076i | 0.124353 | − | 0.677641i | ||||
\(59\) | 9.74332 | + | 11.1101i | 1.26847 | + | 1.44642i | 0.839744 | + | 0.542982i | \(0.182705\pi\) |
0.428728 | + | 0.903434i | \(0.358962\pi\) | |||||||
\(60\) | 1.50106 | − | 0.125838i | 0.193786 | − | 0.0162457i | ||||
\(61\) | 0.568218 | + | 8.66932i | 0.0727528 | + | 1.10999i | 0.865654 | + | 0.500643i | \(0.166903\pi\) |
−0.792901 | + | 0.609350i | \(0.791430\pi\) | |||||||
\(62\) | 3.40406 | + | 11.9886i | 0.432317 | + | 1.52256i | ||||
\(63\) | 2.37930 | + | 1.05046i | 0.299763 | + | 0.132346i | ||||
\(64\) | −0.712343 | − | 7.96822i | −0.0890429 | − | 0.996028i | ||||
\(65\) | 0.996298 | − | 1.72564i | 0.123576 | − | 0.214039i | ||||
\(66\) | −0.788738 | − | 11.4499i | −0.0970870 | − | 1.40939i | ||||
\(67\) | −4.61472 | − | 2.27573i | −0.563778 | − | 0.278024i | 0.137986 | − | 0.990434i | \(-0.455937\pi\) |
−0.701764 | + | 0.712410i | \(0.747604\pi\) | |||||||
\(68\) | −2.06650 | − | 6.88677i | −0.250600 | − | 0.835144i | ||||
\(69\) | 15.7904 | + | 0.182114i | 1.90094 | + | 0.0219239i | ||||
\(70\) | −0.502243 | + | 0.178855i | −0.0600295 | + | 0.0213772i | ||||
\(71\) | −2.19618 | − | 5.30204i | −0.260638 | − | 0.629236i | 0.738340 | − | 0.674428i | \(-0.235610\pi\) |
−0.998978 | + | 0.0451925i | \(0.985610\pi\) | |||||||
\(72\) | 7.25549 | − | 4.39975i | 0.855068 | − | 0.518515i | ||||
\(73\) | −2.08906 | + | 5.04343i | −0.244505 | + | 0.590288i | −0.997720 | − | 0.0674864i | \(-0.978502\pi\) |
0.753215 | + | 0.657775i | \(0.228502\pi\) | |||||||
\(74\) | 7.47488 | + | 0.378475i | 0.868937 | + | 0.0439968i | ||||
\(75\) | 8.02341 | + | 2.24935i | 0.926464 | + | 0.259733i | ||||
\(76\) | −2.75832 | + | 3.34051i | −0.316401 | + | 0.383183i | ||||
\(77\) | 1.30572 | + | 3.84654i | 0.148801 | + | 0.438353i | ||||
\(78\) | 0.696844 | − | 11.2028i | 0.0789021 | − | 1.26847i | ||||
\(79\) | −3.27866 | − | 12.2361i | −0.368878 | − | 1.37667i | −0.862088 | − | 0.506759i | \(-0.830843\pi\) |
0.493210 | − | 0.869910i | \(-0.335823\pi\) | |||||||
\(80\) | −0.460266 | + | 1.67735i | −0.0514593 | + | 0.187534i | ||||
\(81\) | 7.57842 | + | 4.85464i | 0.842047 | + | 0.539404i | ||||
\(82\) | −3.94988 | − | 0.460410i | −0.436191 | − | 0.0508438i | ||||
\(83\) | 7.58932 | + | 6.65565i | 0.833036 | + | 0.730553i | 0.965435 | − | 0.260644i | \(-0.0839348\pi\) |
−0.132399 | + | 0.991196i | \(0.542268\pi\) | |||||||
\(84\) | −2.08463 | + | 2.16187i | −0.227452 | + | 0.235879i | ||||
\(85\) | −0.102243 | + | 1.55993i | −0.0110898 | + | 0.169198i | ||||
\(86\) | 1.21183 | + | 5.65201i | 0.130675 | + | 0.609472i | ||||
\(87\) | −0.494213 | + | 6.40712i | −0.0529852 | + | 0.686916i | ||||
\(88\) | 12.7266 | + | 3.69639i | 1.35666 | + | 0.394037i | ||||
\(89\) | 11.7726 | − | 4.87636i | 1.24789 | − | 0.516893i | 0.341718 | − | 0.939802i | \(-0.388991\pi\) |
0.906172 | + | 0.422910i | \(0.138991\pi\) | |||||||
\(90\) | −1.81231 | + | 0.345056i | −0.191034 | + | 0.0363721i | ||||
\(91\) | 0.775040 | + | 3.89639i | 0.0812463 | + | 0.408453i | ||||
\(92\) | −6.47431 | + | 17.0463i | −0.674993 | + | 1.77720i | ||||
\(93\) | −5.67805 | − | 14.1680i | −0.588786 | − | 1.46915i | ||||
\(94\) | 0.241197 | + | 16.2299i | 0.0248776 | + | 1.67399i | ||||
\(95\) | 0.815699 | − | 0.470944i | 0.0836890 | − | 0.0483179i | ||||
\(96\) | 1.88571 | + | 9.61479i | 0.192459 | + | 0.981305i | ||||
\(97\) | −10.7348 | − | 6.19776i | −1.08996 | − | 0.629287i | −0.156392 | − | 0.987695i | \(-0.549986\pi\) |
−0.933565 | + | 0.358408i | \(0.883320\pi\) | |||||||
\(98\) | −4.30407 | + | 7.71749i | −0.434777 | + | 0.779584i | ||||
\(99\) | 2.42359 | + | 13.8459i | 0.243580 | + | 1.39157i | ||||
\(100\) | −5.62798 | + | 7.80420i | −0.562798 | + | 0.780420i | ||||
\(101\) | 2.50647 | + | 0.850832i | 0.249403 | + | 0.0846609i | 0.443342 | − | 0.896353i | \(-0.353793\pi\) |
−0.193939 | + | 0.981014i | \(0.562126\pi\) | |||||||
\(102\) | 3.39699 | + | 8.12450i | 0.336353 | + | 0.804446i | ||||
\(103\) | −5.76897 | − | 4.42668i | −0.568433 | − | 0.436174i | 0.284139 | − | 0.958783i | \(-0.408292\pi\) |
−0.852573 | + | 0.522609i | \(0.824959\pi\) | |||||||
\(104\) | 11.8682 | + | 5.20873i | 1.16378 | + | 0.510758i | ||||
\(105\) | 0.588913 | − | 0.282024i | 0.0574720 | − | 0.0275227i | ||||
\(106\) | −5.34466 | − | 5.91476i | −0.519120 | − | 0.574492i | ||||
\(107\) | −5.43285 | − | 3.63011i | −0.525213 | − | 0.350936i | 0.264526 | − | 0.964378i | \(-0.414784\pi\) |
−0.789740 | + | 0.613442i | \(0.789784\pi\) | |||||||
\(108\) | −8.27553 | + | 6.28614i | −0.796313 | + | 0.604884i | ||||
\(109\) | 0.631814 | − | 3.17634i | 0.0605168 | − | 0.304238i | −0.938658 | − | 0.344849i | \(-0.887930\pi\) |
0.999175 | + | 0.0406103i | \(0.0129302\pi\) | |||||||
\(110\) | −2.31175 | − | 1.71990i | −0.220417 | − | 0.163986i | ||||
\(111\) | −9.15322 | + | 0.493995i | −0.868786 | + | 0.0468879i | ||||
\(112\) | −1.51506 | − | 3.11936i | −0.143160 | − | 0.294752i | ||||
\(113\) | 17.2309 | + | 4.61701i | 1.62095 | + | 0.434332i | 0.951280 | − | 0.308327i | \(-0.0997691\pi\) |
0.669670 | + | 0.742659i | \(0.266436\pi\) | |||||||
\(114\) | 2.93302 | − | 4.42136i | 0.274703 | − | 0.414098i | ||||
\(115\) | 2.61398 | − | 2.98067i | 0.243755 | − | 0.277949i | ||||
\(116\) | −6.74964 | − | 3.08270i | −0.626688 | − | 0.286221i | ||||
\(117\) | 0.582491 | + | 13.7348i | 0.0538513 | + | 1.26978i | ||||
\(118\) | 18.6036 | − | 9.52053i | 1.71260 | − | 0.876436i | ||||
\(119\) | −1.89737 | − | 2.47270i | −0.173931 | − | 0.226672i | ||||
\(120\) | 0.346332 | − | 2.10192i | 0.0316156 | − | 0.191878i | ||||
\(121\) | −6.66823 | + | 8.69020i | −0.606203 | + | 0.790019i | ||||
\(122\) | 12.0848 | + | 2.21766i | 1.09411 | + | 0.200778i | ||||
\(123\) | 4.87002 | + | 0.0561670i | 0.439115 | + | 0.00506441i | ||||
\(124\) | 17.6169 | − | 0.523734i | 1.58204 | − | 0.0470327i | ||||
\(125\) | 3.54719 | − | 2.37015i | 0.317270 | − | 0.211993i | ||||
\(126\) | 2.26301 | − | 2.89963i | 0.201605 | − | 0.258320i | ||||
\(127\) | −3.43841 | −0.305110 | −0.152555 | − | 0.988295i | \(-0.548750\pi\) | ||||
−0.152555 | + | 0.988295i | \(0.548750\pi\) | |||||||
\(128\) | −11.1732 | − | 1.77766i | −0.987579 | − | 0.157124i | ||||
\(129\) | −2.19820 | − | 6.72967i | −0.193540 | − | 0.592515i | ||||
\(130\) | −2.02199 | − | 1.96277i | −0.177340 | − | 0.172146i | ||||
\(131\) | 10.5447 | + | 5.20008i | 0.921296 | + | 0.454333i | 0.840141 | − | 0.542368i | \(-0.182472\pi\) |
0.0811555 | + | 0.996701i | \(0.474139\pi\) | |||||||
\(132\) | −15.9741 | − | 2.87647i | −1.39036 | − | 0.250365i | ||||
\(133\) | −0.603626 | + | 1.77823i | −0.0523410 | + | 0.154192i | ||||
\(134\) | −4.71598 | + | 5.54154i | −0.407399 | + | 0.478716i | ||||
\(135\) | 2.16342 | − | 0.651843i | 0.186197 | − | 0.0561017i | ||||
\(136\) | −10.1583 | + | 0.453162i | −0.871066 | + | 0.0388583i | ||||
\(137\) | 1.81067 | + | 2.35972i | 0.154696 | + | 0.201604i | 0.864272 | − | 0.503025i | \(-0.167780\pi\) |
−0.709575 | + | 0.704630i | \(0.751113\pi\) | |||||||
\(138\) | 5.70826 | − | 21.5906i | 0.485919 | − | 1.83792i | ||||
\(139\) | 16.6083 | + | 1.08856i | 1.40870 | + | 0.0923309i | 0.750677 | − | 0.660670i | \(-0.229728\pi\) |
0.658020 | + | 0.753000i | \(0.271394\pi\) | |||||||
\(140\) | 0.0716474 | + | 0.750560i | 0.00605531 | + | 0.0634339i | ||||
\(141\) | −2.36735 | − | 19.7383i | −0.199367 | − | 1.66226i | ||||
\(142\) | −8.02994 | + | 1.17880i | −0.673858 | + | 0.0989230i | ||||
\(143\) | −15.1821 | + | 15.1821i | −1.26959 | + | 1.26959i | ||||
\(144\) | −3.52531 | − | 11.4705i | −0.293776 | − | 0.955874i | ||||
\(145\) | 1.14078 | + | 1.14078i | 0.0947370 | + | 0.0947370i | ||||
\(146\) | 6.19396 | + | 4.60819i | 0.512616 | + | 0.381377i | ||||
\(147\) | 4.25663 | − | 9.95028i | 0.351081 | − | 0.820685i | ||||
\(148\) | 3.10297 | − | 10.1196i | 0.255063 | − | 0.831823i | ||||
\(149\) | 1.10195 | − | 16.8125i | 0.0902751 | − | 1.37733i | −0.676985 | − | 0.735996i | \(-0.736714\pi\) |
0.767261 | − | 0.641336i | \(-0.221619\pi\) | |||||||
\(150\) | 5.85815 | − | 10.2250i | 0.478316 | − | 0.834871i | ||||
\(151\) | −4.45393 | + | 3.41762i | −0.362456 | + | 0.278122i | −0.773893 | − | 0.633316i | \(-0.781693\pi\) |
0.411438 | + | 0.911438i | \(0.365027\pi\) | |||||||
\(152\) | 3.62737 | + | 4.93730i | 0.294219 | + | 0.400468i | ||||
\(153\) | −5.17575 | − | 9.46215i | −0.418435 | − | 0.764969i | ||||
\(154\) | 5.72618 | − | 0.460861i | 0.461429 | − | 0.0371372i | ||||
\(155\) | −3.62858 | − | 1.23174i | −0.291455 | − | 0.0989356i | ||||
\(156\) | −15.1217 | − | 4.82826i | −1.21071 | − | 0.386570i | ||||
\(157\) | 0.877132 | − | 1.77865i | 0.0700028 | − | 0.141952i | −0.859059 | − | 0.511877i | \(-0.828950\pi\) |
0.929061 | + | 0.369926i | \(0.120617\pi\) | |||||||
\(158\) | −17.9129 | + | 0.266209i | −1.42508 | + | 0.0211784i | ||||
\(159\) | 7.26581 | + | 6.52171i | 0.576216 | + | 0.517205i | ||||
\(160\) | 2.14107 | + | 1.21101i | 0.169266 | + | 0.0957384i | ||||
\(161\) | 7.90421i | 0.622939i | ||||||||
\(162\) | 9.27699 | − | 8.71421i | 0.728869 | − | 0.684653i | ||||
\(163\) | 6.17477 | + | 9.24120i | 0.483646 | + | 0.723827i | 0.990395 | − | 0.138267i | \(-0.0441531\pi\) |
−0.506749 | + | 0.862093i | \(0.669153\pi\) | |||||||
\(164\) | −1.99679 | + | 5.25736i | −0.155923 | + | 0.410531i | ||||
\(165\) | 3.03559 | + | 1.79959i | 0.236320 | + | 0.140098i | ||||
\(166\) | 11.7505 | − | 8.10656i | 0.912016 | − | 0.629191i | ||||
\(167\) | 1.24198 | + | 0.953001i | 0.0961069 | + | 0.0737454i | 0.655697 | − | 0.755024i | \(-0.272375\pi\) |
−0.559590 | + | 0.828769i | \(0.689041\pi\) | |||||||
\(168\) | 2.24398 | + | 3.60601i | 0.173126 | + | 0.278210i | ||||
\(169\) | −6.34542 | + | 4.86901i | −0.488109 | + | 0.374539i | ||||
\(170\) | 2.10380 | + | 0.679453i | 0.161354 | + | 0.0521116i | ||||
\(171\) | −3.00773 | + | 5.76022i | −0.230007 | + | 0.440495i | ||||
\(172\) | 8.16959 | + | 0.292020i | 0.622925 | + | 0.0222663i | ||||
\(173\) | −10.8016 | − | 9.47274i | −0.821230 | − | 0.720199i | 0.141712 | − | 0.989908i | \(-0.454739\pi\) |
−0.962942 | + | 0.269709i | \(0.913073\pi\) | |||||||
\(174\) | 8.61533 | + | 2.89258i | 0.653127 | + | 0.219286i | ||||
\(175\) | −1.07950 | + | 4.02874i | −0.0816023 | + | 0.304544i | ||||
\(176\) | 9.46833 | − | 16.1744i | 0.713703 | − | 1.21919i | ||||
\(177\) | −21.4440 | + | 13.9734i | −1.61183 | + | 1.05031i | ||||
\(178\) | −2.61740 | − | 17.8296i | −0.196182 | − | 1.33638i | ||||
\(179\) | −8.85480 | − | 1.76133i | −0.661839 | − | 0.131648i | −0.147269 | − | 0.989096i | \(-0.547048\pi\) |
−0.514570 | + | 0.857449i | \(0.672048\pi\) | |||||||
\(180\) | −0.153309 | + | 2.60452i | −0.0114270 | + | 0.194130i | ||||
\(181\) | 7.97969 | − | 11.9424i | 0.593125 | − | 0.887675i | −0.406538 | − | 0.913634i | \(-0.633264\pi\) |
0.999663 | + | 0.0259591i | \(0.00826398\pi\) | |||||||
\(182\) | 5.61110 | + | 0.284106i | 0.415922 | + | 0.0210593i | ||||
\(183\) | −15.0034 | − | 1.15728i | −1.10908 | − | 0.0855489i | ||||
\(184\) | 21.1377 | + | 14.7710i | 1.55829 | + | 1.08893i | ||||
\(185\) | −1.40094 | + | 1.82574i | −0.102999 | + | 0.134231i | ||||
\(186\) | −21.3916 | + | 2.88870i | −1.56851 | + | 0.211810i | ||||
\(187\) | 5.41453 | − | 15.9507i | 0.395950 | − | 1.16643i | ||||
\(188\) | 22.3397 | + | 5.27971i | 1.62929 | + | 0.385063i | ||||
\(189\) | −2.38602 | + | 3.82106i | −0.173558 | + | 0.277941i | ||||
\(190\) | −0.363836 | − | 1.28138i | −0.0263954 | − | 0.0929610i | ||||
\(191\) | 8.41668 | − | 14.5781i | 0.609010 | − | 1.05484i | −0.382394 | − | 0.923999i | \(-0.624900\pi\) |
0.991404 | − | 0.130837i | \(-0.0417664\pi\) | |||||||
\(192\) | 13.8367 | + | 0.737801i | 0.998581 | + | 0.0532462i | ||||
\(193\) | −1.40672 | − | 2.43651i | −0.101258 | − | 0.175384i | 0.810945 | − | 0.585122i | \(-0.198953\pi\) |
−0.912203 | + | 0.409738i | \(0.865620\pi\) | |||||||
\(194\) | −12.2100 | + | 12.5783i | −0.876624 | + | 0.903072i | ||||
\(195\) | 2.71367 | + | 2.13244i | 0.194330 | + | 0.152707i | ||||
\(196\) | 9.09524 | + | 8.57006i | 0.649660 | + | 0.612147i | ||||
\(197\) | 6.99874 | − | 1.39214i | 0.498640 | − | 0.0991856i | 0.0606381 | − | 0.998160i | \(-0.480686\pi\) |
0.438002 | + | 0.898974i | \(0.355686\pi\) | |||||||
\(198\) | 19.8249 | + | 1.46285i | 1.40890 | + | 0.103960i | ||||
\(199\) | −0.298707 | − | 0.721143i | −0.0211748 | − | 0.0511205i | 0.912938 | − | 0.408097i | \(-0.133808\pi\) |
−0.934113 | + | 0.356977i | \(0.883808\pi\) | |||||||
\(200\) | 8.75649 | + | 10.4155i | 0.619177 | + | 0.736489i | ||||
\(201\) | 5.03637 | − | 7.35247i | 0.355238 | − | 0.518603i | ||||
\(202\) | 2.03321 | − | 3.14303i | 0.143056 | − | 0.221143i | ||||
\(203\) | −3.20964 | − | 0.210371i | −0.225273 | − | 0.0147652i | ||||
\(204\) | 12.3155 | − | 1.84982i | 0.862260 | − | 0.129513i | ||||
\(205\) | 0.806195 | − | 0.919290i | 0.0563071 | − | 0.0642060i | ||||
\(206\) | −8.06463 | + | 6.38082i | −0.561889 | + | 0.444573i | ||||
\(207\) | −4.19457 | + | 27.0280i | −0.291543 | + | 1.87858i | ||||
\(208\) | 11.2455 | − | 14.4745i | 0.779735 | − | 1.00362i | ||||
\(209\) | −9.80324 | + | 2.62677i | −0.678105 | + | 0.181698i | ||||
\(210\) | −0.183164 | − | 0.905076i | −0.0126395 | − | 0.0624562i | ||||
\(211\) | −21.2257 | + | 7.20515i | −1.46124 | + | 0.496023i | −0.935102 | − | 0.354378i | \(-0.884693\pi\) |
−0.526135 | + | 0.850401i | \(0.676359\pi\) | |||||||
\(212\) | −9.95857 | + | 5.28456i | −0.683957 | + | 0.362945i | ||||
\(213\) | 9.63037 | − | 2.46177i | 0.659862 | − | 0.168678i | ||||
\(214\) | −6.85609 | + | 6.19526i | −0.468672 | + | 0.423499i | ||||
\(215\) | −1.64207 | − | 0.680166i | −0.111988 | − | 0.0463869i | ||||
\(216\) | 5.75954 | + | 13.5214i | 0.391887 | + | 0.920013i | ||||
\(217\) | 7.05836 | − | 2.92367i | 0.479153 | − | 0.198472i | ||||
\(218\) | −4.13735 | − | 1.96443i | −0.280217 | − | 0.133048i | ||||
\(219\) | −8.13338 | − | 4.82172i | −0.549603 | − | 0.325822i | ||||
\(220\) | −3.15766 | + | 2.57559i | −0.212889 | + | 0.173646i | ||||
\(221\) | 7.28625 | − | 14.7751i | 0.490126 | − | 0.993878i | ||||
\(222\) | −2.48672 | + | 12.7227i | −0.166898 | + | 0.853892i | ||||
\(223\) | 8.63940 | + | 4.98796i | 0.578537 | + | 0.334018i | 0.760552 | − | 0.649277i | \(-0.224929\pi\) |
−0.182015 | + | 0.983296i | \(0.558262\pi\) | |||||||
\(224\) | −4.80136 | + | 0.999306i | −0.320804 | + | 0.0667690i | ||||
\(225\) | −5.82923 | + | 13.2032i | −0.388616 | + | 0.880213i | ||||
\(226\) | 12.2879 | − | 22.0330i | 0.817377 | − | 1.46561i | ||||
\(227\) | 0.662717 | − | 0.0434368i | 0.0439861 | − | 0.00288300i | −0.0433942 | − | 0.999058i | \(-0.513817\pi\) |
0.0873803 | + | 0.996175i | \(0.472150\pi\) | |||||||
\(228\) | −5.04916 | − | 5.55050i | −0.334389 | − | 0.367591i | ||||
\(229\) | 3.11847 | − | 2.73482i | 0.206074 | − | 0.180722i | −0.550088 | − | 0.835107i | \(-0.685406\pi\) |
0.756162 | + | 0.654385i | \(0.227072\pi\) | |||||||
\(230\) | −3.18382 | − | 4.61496i | −0.209935 | − | 0.304302i | ||||
\(231\) | −6.91596 | + | 1.29294i | −0.455037 | + | 0.0850693i | ||||
\(232\) | −6.56060 | + | 8.19022i | −0.430725 | + | 0.537714i | ||||
\(233\) | 4.18764 | + | 1.73458i | 0.274341 | + | 0.113636i | 0.515613 | − | 0.856822i | \(-0.327564\pi\) |
−0.241271 | + | 0.970458i | \(0.577564\pi\) | |||||||
\(234\) | 19.0361 | + | 3.94916i | 1.24443 | + | 0.258164i | ||||
\(235\) | −4.14977 | − | 2.77279i | −0.270701 | − | 0.180877i | ||||
\(236\) | −6.62462 | − | 28.8025i | −0.431226 | − | 1.87488i | ||||
\(237\) | 21.7851 | − | 2.61284i | 1.41509 | − | 0.169722i | ||||
\(238\) | −4.04674 | + | 1.74711i | −0.262311 | + | 0.113248i | ||||
\(239\) | 6.33220 | − | 23.6321i | 0.409596 | − | 1.52863i | −0.385823 | − | 0.922573i | \(-0.626082\pi\) |
0.795419 | − | 0.606060i | \(-0.207251\pi\) | |||||||
\(240\) | −2.76267 | − | 1.20154i | −0.178330 | − | 0.0775588i | ||||
\(241\) | 3.90912 | + | 14.5890i | 0.251808 | + | 0.939761i | 0.969838 | + | 0.243749i | \(0.0783774\pi\) |
−0.718030 | + | 0.696012i | \(0.754956\pi\) | |||||||
\(242\) | 9.61188 | + | 12.1483i | 0.617875 | + | 0.780923i | ||||
\(243\) | −10.1866 | + | 11.7997i | −0.653472 | + | 0.756951i | ||||
\(244\) | 7.21866 | − | 15.8054i | 0.462127 | − | 1.01184i | ||||
\(245\) | −1.20172 | − | 2.43684i | −0.0767748 | − | 0.155684i | ||||
\(246\) | 1.76052 | − | 6.65891i | 0.112247 | − | 0.424557i | ||||
\(247\) | −9.84082 | + | 1.29557i | −0.626157 | + | 0.0824351i | ||||
\(248\) | 5.37172 | − | 24.3393i | 0.341105 | − | 1.54555i | ||||
\(249\) | −13.2772 | + | 11.3756i | −0.841405 | + | 0.720897i | ||||
\(250\) | −2.02401 | − | 5.68363i | −0.128010 | − | 0.359465i | ||||
\(251\) | −9.43241 | + | 1.87622i | −0.595369 | + | 0.118426i | −0.483571 | − | 0.875305i | \(-0.660661\pi\) |
−0.111797 | + | 0.993731i | \(0.535661\pi\) | |||||||
\(252\) | −3.19401 | − | 4.10565i | −0.201204 | − | 0.258632i | ||||
\(253\) | −35.5191 | + | 23.7331i | −2.23307 | + | 1.49209i | ||||
\(254\) | −1.18861 | + | 4.71514i | −0.0745802 | + | 0.295854i | ||||
\(255\) | −2.64937 | − | 0.558831i | −0.165910 | − | 0.0349954i | ||||
\(256\) | −6.30015 | + | 14.7074i | −0.393759 | + | 0.919214i | ||||
\(257\) | 0.595395 | + | 1.03125i | 0.0371397 | + | 0.0643278i | 0.883998 | − | 0.467491i | \(-0.154842\pi\) |
−0.846858 | + | 0.531819i | \(0.821509\pi\) | |||||||
\(258\) | −9.98838 | + | 0.688059i | −0.621849 | + | 0.0428367i | ||||
\(259\) | −0.300083 | − | 4.57838i | −0.0186462 | − | 0.284486i | ||||
\(260\) | −3.39054 | + | 2.09427i | −0.210272 | + | 0.129881i | ||||
\(261\) | −10.8636 | − | 2.42263i | −0.672438 | − | 0.149957i | ||||
\(262\) | 10.7761 | − | 12.6625i | 0.665750 | − | 0.782293i | ||||
\(263\) | −5.83410 | − | 0.768074i | −0.359746 | − | 0.0473615i | −0.0515130 | − | 0.998672i | \(-0.516404\pi\) |
−0.308233 | + | 0.951311i | \(0.599738\pi\) | |||||||
\(264\) | −9.46656 | + | 20.9111i | −0.582627 | + | 1.28699i | ||||
\(265\) | 2.43018 | − | 0.319939i | 0.149285 | − | 0.0196537i | ||||
\(266\) | 2.22984 | + | 1.44247i | 0.136720 | + | 0.0884435i | ||||
\(267\) | 5.46609 | + | 21.3831i | 0.334519 | + | 1.30863i | ||||
\(268\) | 5.96894 | + | 8.38273i | 0.364611 | + | 0.512057i | ||||
\(269\) | −6.38295 | − | 1.26965i | −0.389176 | − | 0.0774118i | −0.00337563 | − | 0.999994i | \(-0.501075\pi\) |
−0.385800 | + | 0.922582i | \(0.626075\pi\) | |||||||
\(270\) | −0.146017 | − | 3.19206i | −0.00888630 | − | 0.194263i | ||||
\(271\) | −8.73943 | + | 8.73943i | −0.530883 | + | 0.530883i | −0.920835 | − | 0.389952i | \(-0.872491\pi\) |
0.389952 | + | 0.920835i | \(0.372491\pi\) | |||||||
\(272\) | −2.89015 | + | 14.0868i | −0.175241 | + | 0.854141i | ||||
\(273\) | −6.87096 | + | 0.370822i | −0.415850 | + | 0.0224432i | ||||
\(274\) | 3.86184 | − | 1.66728i | 0.233302 | − | 0.100724i | ||||
\(275\) | −21.3452 | + | 7.24572i | −1.28716 | + | 0.436933i | ||||
\(276\) | −27.6342 | − | 15.2914i | −1.66339 | − | 0.920434i | ||||
\(277\) | 1.66467 | − | 0.820925i | 0.100020 | − | 0.0493246i | −0.391590 | − | 0.920140i | \(-0.628075\pi\) |
0.491611 | + | 0.870815i | \(0.336408\pi\) | |||||||
\(278\) | 7.23402 | − | 22.3989i | 0.433868 | − | 1.34340i | ||||
\(279\) | 25.6872 | − | 6.25164i | 1.53785 | − | 0.374276i | ||||
\(280\) | 1.05402 | + | 0.161207i | 0.0629898 | + | 0.00963398i | ||||
\(281\) | −0.342804 | + | 2.60385i | −0.0204499 | + | 0.155333i | −0.998623 | − | 0.0524587i | \(-0.983294\pi\) |
0.978173 | + | 0.207791i | \(0.0666275\pi\) | |||||||
\(282\) | −27.8857 | − | 3.57687i | −1.66057 | − | 0.212999i | ||||
\(283\) | 15.4990 | − | 13.5922i | 0.921318 | − | 0.807974i | −0.0604281 | − | 0.998173i | \(-0.519247\pi\) |
0.981746 | + | 0.190199i | \(0.0609132\pi\) | |||||||
\(284\) | −1.15933 | + | 11.4191i | −0.0687937 | + | 0.677597i | ||||
\(285\) | 0.606886 | + | 1.51432i | 0.0359488 | + | 0.0897003i | ||||
\(286\) | 15.5711 | + | 26.0676i | 0.920741 | + | 1.54141i | ||||
\(287\) | 2.43779i | 0.143898i | ||||||||
\(288\) | −16.9483 | + | 0.869114i | −0.998688 | + | 0.0512130i | ||||
\(289\) | − | 4.07548i | − | 0.239734i | ||||||
\(290\) | 1.95873 | − | 1.17002i | 0.115020 | − | 0.0687059i | ||||
\(291\) | 13.2655 | − | 16.8812i | 0.777636 | − | 0.989592i | ||||
\(292\) | 8.46045 | − | 6.90087i | 0.495110 | − | 0.403843i | ||||
\(293\) | −23.3192 | + | 20.4504i | −1.36232 | + | 1.19472i | −0.402063 | + | 0.915612i | \(0.631707\pi\) |
−0.960259 | + | 0.279112i | \(0.909960\pi\) | |||||||
\(294\) | −12.1735 | − | 9.27686i | −0.709973 | − | 0.541037i | ||||
\(295\) | −0.838725 | + | 6.37075i | −0.0488324 | + | 0.370919i | ||||
\(296\) | −12.8044 | − | 7.75334i | −0.744243 | − | 0.450654i | ||||
\(297\) | −24.3349 | + | 0.751013i | −1.41205 | + | 0.0435782i | ||||
\(298\) | −22.6743 | − | 7.32296i | −1.31348 | − | 0.424208i | ||||
\(299\) | −37.4700 | + | 18.4781i | −2.16694 | + | 1.06862i | ||||
\(300\) | −11.9967 | − | 11.5680i | −0.692627 | − | 0.667880i | ||||
\(301\) | 3.35554 | − | 1.13905i | 0.193410 | − | 0.0656539i | ||||
\(302\) | 3.14697 | + | 7.28916i | 0.181088 | + | 0.419444i | ||||
\(303\) | −2.07502 | + | 4.08818i | −0.119207 | + | 0.234860i | ||||
\(304\) | 8.02451 | − | 3.26751i | 0.460237 | − | 0.187404i | ||||
\(305\) | −2.67134 | + | 2.67134i | −0.152960 | + | 0.152960i | ||||
\(306\) | −14.7648 | + | 3.82664i | −0.844045 | + | 0.218755i | ||||
\(307\) | 32.3893 | + | 6.44264i | 1.84856 | + | 0.367701i | 0.989541 | − | 0.144249i | \(-0.0460767\pi\) |
0.859015 | + | 0.511950i | \(0.171077\pi\) | |||||||
\(308\) | 1.34748 | − | 8.01170i | 0.0767796 | − | 0.456509i | ||||
\(309\) | 9.00800 | − | 8.80259i | 0.512447 | − | 0.500762i | ||||
\(310\) | −2.94345 | + | 4.55013i | −0.167177 | + | 0.258430i | ||||
\(311\) | 17.9527 | − | 2.36352i | 1.01801 | − | 0.134023i | 0.396992 | − | 0.917822i | \(-0.370054\pi\) |
0.621015 | + | 0.783799i | \(0.286721\pi\) | |||||||
\(312\) | −11.8484 | + | 19.0676i | −0.670786 | + | 1.07949i | ||||
\(313\) | −22.9182 | − | 3.01724i | −1.29541 | − | 0.170545i | −0.548885 | − | 0.835898i | \(-0.684948\pi\) |
−0.746529 | + | 0.665353i | \(0.768281\pi\) | |||||||
\(314\) | −2.13587 | − | 1.81768i | −0.120534 | − | 0.102577i | ||||
\(315\) | 0.338738 | + | 1.07904i | 0.0190858 | + | 0.0607969i | ||||
\(316\) | −5.82720 | + | 24.6563i | −0.327806 | + | 1.38702i | ||||
\(317\) | 0.806095 | + | 12.2986i | 0.0452748 | + | 0.690760i | 0.958819 | + | 0.284019i | \(0.0916680\pi\) |
−0.913544 | + | 0.406740i | \(0.866665\pi\) | |||||||
\(318\) | 11.4550 | − | 7.70924i | 0.642364 | − | 0.432313i | ||||
\(319\) | −8.69191 | − | 15.0548i | −0.486653 | − | 0.842908i | ||||
\(320\) | 2.40081 | − | 2.51745i | 0.134209 | − | 0.140730i | ||||
\(321\) | 7.55963 | − | 8.42216i | 0.421937 | − | 0.470079i | ||||
\(322\) | 10.8391 | + | 2.73238i | 0.604042 | + | 0.152269i | ||||
\(323\) | 6.47478 | − | 4.32631i | 0.360266 | − | 0.240722i | ||||
\(324\) | −8.74299 | − | 15.7340i | −0.485721 | − | 0.874114i | ||||
\(325\) | −21.6219 | + | 4.30085i | −1.19936 | + | 0.238568i | ||||
\(326\) | 14.8071 | − | 5.27299i | 0.820091 | − | 0.292044i | ||||
\(327\) | 5.29053 | + | 1.86421i | 0.292567 | + | 0.103091i | ||||
\(328\) | 6.51923 | + | 4.55562i | 0.359964 | + | 0.251542i | ||||
\(329\) | 9.86543 | − | 1.29881i | 0.543899 | − | 0.0716056i | ||||
\(330\) | 3.51717 | − | 3.54065i | 0.193614 | − | 0.194907i | ||||
\(331\) | −9.19952 | − | 18.6548i | −0.505651 | − | 1.02536i | −0.988720 | − | 0.149777i | \(-0.952144\pi\) |
0.483068 | − | 0.875583i | \(-0.339522\pi\) | |||||||
\(332\) | −7.05465 | − | 18.9160i | −0.387174 | − | 1.03815i | ||||
\(333\) | 1.40352 | − | 15.8148i | 0.0769121 | − | 0.866644i | ||||
\(334\) | 1.73620 | − | 1.37370i | 0.0950005 | − | 0.0751654i | ||||
\(335\) | −0.579080 | − | 2.16116i | −0.0316385 | − | 0.118077i | ||||
\(336\) | 5.72068 | − | 1.83065i | 0.312089 | − | 0.0998699i | ||||
\(337\) | 0.372509 | − | 1.39022i | 0.0202918 | − | 0.0757302i | −0.955037 | − | 0.296485i | \(-0.904185\pi\) |
0.975329 | + | 0.220755i | \(0.0708521\pi\) | |||||||
\(338\) | 4.48342 | + | 10.3847i | 0.243866 | + | 0.564854i | ||||
\(339\) | −12.1524 | + | 28.4075i | −0.660030 | + | 1.54288i | ||||
\(340\) | 1.65900 | − | 2.65010i | 0.0899719 | − | 0.143722i | ||||
\(341\) | 34.3315 | + | 22.9395i | 1.85915 | + | 1.24225i | ||||
\(342\) | 6.85934 | + | 6.11577i | 0.370910 | + | 0.330703i | ||||
\(343\) | 10.6115 | + | 4.39542i | 0.572966 | + | 0.237330i | ||||
\(344\) | 3.22457 | − | 11.1021i | 0.173857 | − | 0.598586i | ||||
\(345\) | 4.46771 | + | 5.21455i | 0.240533 | + | 0.280742i | ||||
\(346\) | −16.7241 | + | 11.5378i | −0.899091 | + | 0.620275i | ||||
\(347\) | 3.81532 | − | 3.34594i | 0.204817 | − | 0.179620i | −0.550792 | − | 0.834642i | \(-0.685674\pi\) |
0.755609 | + | 0.655023i | \(0.227341\pi\) | |||||||
\(348\) | 6.94483 | − | 10.8144i | 0.372282 | − | 0.579712i | ||||
\(349\) | −12.0351 | + | 0.788824i | −0.644226 | + | 0.0422248i | −0.384015 | − | 0.923327i | \(-0.625459\pi\) |
−0.260211 | + | 0.965552i | \(0.583792\pi\) | |||||||
\(350\) | 5.15149 | + | 2.87301i | 0.275359 | + | 0.153569i | ||||
\(351\) | −23.6917 | − | 2.37824i | −1.26457 | − | 0.126941i | ||||
\(352\) | −18.9071 | − | 18.5753i | −1.00775 | − | 0.990068i | ||||
\(353\) | −4.99844 | − | 2.88585i | −0.266040 | − | 0.153598i | 0.361047 | − | 0.932548i | \(-0.382420\pi\) |
−0.627087 | + | 0.778949i | \(0.715753\pi\) | |||||||
\(354\) | 11.7490 | + | 34.2369i | 0.624455 | + | 1.81967i | ||||
\(355\) | 1.10373 | − | 2.23813i | 0.0585797 | − | 0.118788i | ||||
\(356\) | −25.3547 | − | 2.57417i | −1.34380 | − | 0.136431i | ||||
\(357\) | 4.70597 | − | 2.64511i | 0.249066 | − | 0.139994i | ||||
\(358\) | −5.47632 | + | 11.5338i | −0.289432 | + | 0.609582i | ||||
\(359\) | 1.06335 | − | 0.440455i | 0.0561216 | − | 0.0232463i | −0.354446 | − | 0.935076i | \(-0.615331\pi\) |
0.410568 | + | 0.911830i | \(0.365331\pi\) | |||||||
\(360\) | 3.51862 | + | 1.11058i | 0.185448 | + | 0.0585329i | ||||
\(361\) | 13.2190 | + | 5.47550i | 0.695738 | + | 0.288184i | ||||
\(362\) | −13.6184 | − | 15.0710i | −0.715766 | − | 0.792114i | ||||
\(363\) | −13.2600 | − | 13.5694i | −0.695967 | − | 0.712208i | ||||
\(364\) | 2.32928 | − | 7.59636i | 0.122087 | − | 0.398157i | ||||
\(365\) | −2.24779 | + | 0.763023i | −0.117655 | + | 0.0399384i | ||||
\(366\) | −6.77346 | + | 20.1743i | −0.354054 | + | 1.05453i | ||||
\(367\) | −21.5004 | + | 5.76102i | −1.12231 | + | 0.300723i | −0.771819 | − | 0.635843i | \(-0.780653\pi\) |
−0.350493 | + | 0.936565i | \(0.613986\pi\) | |||||||
\(368\) | 27.5627 | − | 23.8803i | 1.43680 | − | 1.24485i | ||||
\(369\) | −1.29368 | + | 8.33590i | −0.0673461 | + | 0.433950i | ||||
\(370\) | 2.01938 | + | 2.55226i | 0.104983 | + | 0.132686i | ||||
\(371\) | −3.22220 | + | 3.67422i | −0.167288 | + | 0.190756i | ||||
\(372\) | −3.43346 | + | 30.3331i | −0.178017 | + | 1.57270i | ||||
\(373\) | 21.2113 | + | 1.39026i | 1.09828 | + | 0.0719851i | 0.603749 | − | 0.797175i | \(-0.293673\pi\) |
0.494531 | + | 0.869160i | \(0.335340\pi\) | |||||||
\(374\) | −20.0017 | − | 12.9390i | −1.03426 | − | 0.669058i | ||||
\(375\) | 3.19152 | + | 6.66443i | 0.164809 | + | 0.344150i | ||||
\(376\) | 14.9627 | − | 28.8096i | 0.771641 | − | 1.48574i | ||||
\(377\) | −6.50611 | − | 15.7071i | −0.335082 | − | 0.808959i | ||||
\(378\) | 4.41505 | + | 4.59287i | 0.227086 | + | 0.236232i | ||||
\(379\) | 22.7022 | − | 4.51575i | 1.16613 | − | 0.231958i | 0.426194 | − | 0.904632i | \(-0.359854\pi\) |
0.739939 | + | 0.672673i | \(0.234854\pi\) | |||||||
\(380\) | −1.88295 | + | 0.0559782i | −0.0965930 | + | 0.00287162i | ||||
\(381\) | 0.845392 | − | 5.89520i | 0.0433107 | − | 0.302020i | ||||
\(382\) | −17.0816 | − | 16.5814i | −0.873973 | − | 0.848377i | ||||
\(383\) | −12.6485 | − | 21.9079i | −0.646309 | − | 1.11944i | −0.983998 | − | 0.178182i | \(-0.942979\pi\) |
0.337689 | − | 0.941258i | \(-0.390355\pi\) | |||||||
\(384\) | 5.79493 | − | 18.7195i | 0.295721 | − | 0.955274i | ||||
\(385\) | −0.883181 | + | 1.52971i | −0.0450111 | + | 0.0779615i | ||||
\(386\) | −3.82751 | + | 1.08679i | −0.194815 | + | 0.0553160i | ||||
\(387\) | 12.0786 | − | 2.11423i | 0.613988 | − | 0.107472i | ||||
\(388\) | 13.0280 | + | 21.0918i | 0.661398 | + | 1.07078i | ||||
\(389\) | 4.49457 | − | 13.2406i | 0.227884 | − | 0.671324i | −0.771500 | − | 0.636229i | \(-0.780493\pi\) |
0.999384 | − | 0.0350951i | \(-0.0111734\pi\) | |||||||
\(390\) | 3.86233 | − | 2.98414i | 0.195576 | − | 0.151108i | ||||
\(391\) | 19.9533 | − | 26.0037i | 1.00908 | − | 1.31506i | ||||
\(392\) | 14.8963 | − | 9.50987i | 0.752379 | − | 0.480321i | ||||
\(393\) | −11.5082 | + | 16.8005i | −0.580512 | + | 0.847474i | ||||
\(394\) | 0.510314 | − | 10.0787i | 0.0257093 | − | 0.507758i | ||||
\(395\) | 3.06032 | − | 4.58009i | 0.153981 | − | 0.230449i | ||||
\(396\) | 8.85924 | − | 26.6805i | 0.445193 | − | 1.34075i | ||||
\(397\) | 2.48471 | + | 0.494240i | 0.124704 | + | 0.0248052i | 0.257048 | − | 0.966399i | \(-0.417250\pi\) |
−0.132344 | + | 0.991204i | \(0.542250\pi\) | |||||||
\(398\) | −1.09217 | + | 0.160332i | −0.0547456 | + | 0.00803671i | ||||
\(399\) | −2.90038 | − | 1.47213i | −0.145200 | − | 0.0736987i | ||||
\(400\) | 17.3099 | − | 8.40739i | 0.865497 | − | 0.420369i | ||||
\(401\) | −5.49923 | + | 20.5234i | −0.274618 | + | 1.02489i | 0.681478 | + | 0.731838i | \(0.261337\pi\) |
−0.956097 | + | 0.293051i | \(0.905329\pi\) | |||||||
\(402\) | −8.34153 | − | 9.44809i | −0.416038 | − | 0.471228i | ||||
\(403\) | 30.3604 | + | 26.6254i | 1.51236 | + | 1.32631i | ||||
\(404\) | −3.60723 | − | 3.87467i | −0.179467 | − | 0.192772i | ||||
\(405\) | 0.585679 | + | 3.86947i | 0.0291026 | + | 0.192276i | ||||
\(406\) | −1.39802 | + | 4.32871i | −0.0693823 | + | 0.214830i | ||||
\(407\) | 19.6728 | − | 15.0955i | 0.975144 | − | 0.748255i | ||||
\(408\) | 1.72064 | − | 17.5279i | 0.0851841 | − | 0.867761i | ||||
\(409\) | 0.939262 | + | 0.720721i | 0.0464435 | + | 0.0356374i | 0.631722 | − | 0.775195i | \(-0.282348\pi\) |
−0.585279 | + | 0.810832i | \(0.699015\pi\) | |||||||
\(410\) | −0.981944 | − | 1.42333i | −0.0484947 | − | 0.0702934i | ||||
\(411\) | −4.49095 | + | 2.52425i | −0.221522 | + | 0.124512i | ||||
\(412\) | 5.96227 | + | 13.2649i | 0.293740 | + | 0.653514i | ||||
\(413\) | −7.11754 | − | 10.6522i | −0.350231 | − | 0.524158i | ||||
\(414\) | 35.6139 | + | 15.0953i | 1.75033 | + | 0.741893i | ||||
\(415\) | 4.38940i | 0.215467i | ||||||||
\(416\) | −15.9616 | − | 20.4247i | −0.782584 | − | 1.00140i | ||||
\(417\) | −5.94979 | + | 28.2075i | −0.291362 | + | 1.38133i | ||||
\(418\) | 0.213279 | + | 14.3514i | 0.0104318 | + | 0.701948i | ||||
\(419\) | 9.59243 | − | 19.4515i | 0.468621 | − | 0.950269i | −0.526365 | − | 0.850258i | \(-0.676446\pi\) |
0.994986 | − | 0.100011i | \(-0.0318877\pi\) | |||||||
\(420\) | −1.30446 | − | 0.0616976i | −0.0636511 | − | 0.00301053i | ||||
\(421\) | 4.31632 | + | 1.46519i | 0.210365 | + | 0.0714092i | 0.424633 | − | 0.905366i | \(-0.360403\pi\) |
−0.214268 | + | 0.976775i | \(0.568737\pi\) | |||||||
\(422\) | 2.54309 | + | 31.5978i | 0.123796 | + | 1.53816i | ||||
\(423\) | 34.4236 | + | 0.794134i | 1.67373 | + | 0.0386121i | ||||
\(424\) | 3.80424 | + | 15.4831i | 0.184750 | + | 0.751927i | ||||
\(425\) | 13.7215 | − | 10.5289i | 0.665590 | − | 0.510726i | ||||
\(426\) | −0.0467752 | − | 14.0573i | −0.00226627 | − | 0.681076i | ||||
\(427\) | 0.492620 | − | 7.51593i | 0.0238395 | − | 0.363721i | ||||
\(428\) | 6.12559 | + | 11.5435i | 0.296091 | + | 0.557974i | ||||
\(429\) | −22.2971 | − | 29.7626i | −1.07651 | − | 1.43695i | ||||
\(430\) | −1.50036 | + | 2.01666i | −0.0723538 | + | 0.0972522i | ||||
\(431\) | −14.1204 | − | 14.1204i | −0.680155 | − | 0.680155i | 0.279880 | − | 0.960035i | \(-0.409705\pi\) |
−0.960035 | + | 0.279880i | \(0.909705\pi\) | |||||||
\(432\) | 20.5330 | − | 3.22397i | 0.987897 | − | 0.155113i | ||||
\(433\) | −24.8821 | + | 24.8821i | −1.19576 | + | 1.19576i | −0.220334 | + | 0.975424i | \(0.570715\pi\) |
−0.975424 | + | 0.220334i | \(0.929285\pi\) | |||||||
\(434\) | −1.56929 | − | 10.6899i | −0.0753282 | − | 0.513132i | ||||
\(435\) | −2.23637 | + | 1.67541i | −0.107226 | + | 0.0803296i | ||||
\(436\) | −4.12408 | + | 4.99453i | −0.197508 | + | 0.239195i | ||||
\(437\) | −19.7061 | − | 1.29161i | −0.942673 | − | 0.0617860i | ||||
\(438\) | −9.42369 | + | 9.48661i | −0.450281 | + | 0.453288i | ||||
\(439\) | −19.9562 | − | 26.0074i | −0.952457 | − | 1.24127i | −0.970419 | − | 0.241428i | \(-0.922384\pi\) |
0.0179616 | − | 0.999839i | \(-0.494282\pi\) | |||||||
\(440\) | 2.44038 | + | 5.22049i | 0.116340 | + | 0.248877i | ||||
\(441\) | 16.0133 | + | 9.74449i | 0.762538 | + | 0.464023i | ||||
\(442\) | −17.7425 | − | 15.0993i | −0.843924 | − | 0.718199i | ||||
\(443\) | 11.3518 | − | 33.4414i | 0.539341 | − | 1.58885i | −0.245661 | − | 0.969356i | \(-0.579005\pi\) |
0.785003 | − | 0.619492i | \(-0.212662\pi\) | |||||||
\(444\) | 16.5872 | + | 7.80814i | 0.787193 | + | 0.370558i | ||||
\(445\) | 4.96952 | + | 2.45070i | 0.235578 | + | 0.116174i | ||||
\(446\) | 9.82657 | − | 10.1231i | 0.465302 | − | 0.479340i | ||||
\(447\) | 28.5543 | + | 6.02293i | 1.35057 | + | 0.284875i | ||||
\(448\) | −0.289401 | + | 6.92961i | −0.0136729 | + | 0.327393i | ||||
\(449\) | 37.8922 | 1.78824 | 0.894121 | − | 0.447826i | \(-0.147801\pi\) | ||||
0.894121 | + | 0.447826i | \(0.147801\pi\) | |||||||
\(450\) | 16.0906 | + | 12.5579i | 0.758519 | + | 0.591984i | ||||
\(451\) | −10.9547 | + | 7.31969i | −0.515836 | + | 0.344671i | ||||
\(452\) | −25.9664 | − | 24.4670i | −1.22136 | − | 1.15083i | ||||
\(453\) | −4.76447 | − | 8.47659i | −0.223855 | − | 0.398265i | ||||
\(454\) | 0.169527 | − | 0.923808i | 0.00795629 | − | 0.0433565i | ||||
\(455\) | −1.05163 | + | 1.37051i | −0.0493013 | + | 0.0642507i | ||||
\(456\) | −9.35690 | + | 5.00525i | −0.438177 | + | 0.234392i | ||||
\(457\) | 1.60749 | + | 2.09492i | 0.0751950 | + | 0.0979961i | 0.829436 | − | 0.558601i | \(-0.188662\pi\) |
−0.754241 | + | 0.656597i | \(0.771995\pi\) | |||||||
\(458\) | −2.67229 | − | 5.22179i | −0.124868 | − | 0.243998i | ||||
\(459\) | 17.4955 | − | 6.54745i | 0.816620 | − | 0.305609i | ||||
\(460\) | −7.42916 | + | 2.77068i | −0.346387 | + | 0.129184i | ||||
\(461\) | 6.19764 | − | 7.06706i | 0.288653 | − | 0.329146i | −0.589280 | − | 0.807929i | \(-0.700589\pi\) |
0.877933 | + | 0.478783i | \(0.158922\pi\) | |||||||
\(462\) | −0.617726 | + | 9.93091i | −0.0287392 | + | 0.462028i | ||||
\(463\) | 32.1899 | + | 8.62527i | 1.49599 | + | 0.400850i | 0.911756 | − | 0.410733i | \(-0.134727\pi\) |
0.584237 | + | 0.811583i | \(0.301394\pi\) | |||||||
\(464\) | 8.96345 | + | 11.8279i | 0.416118 | + | 0.549096i | ||||
\(465\) | 3.00398 | − | 5.91841i | 0.139306 | − | 0.274460i | ||||
\(466\) | 3.82626 | − | 5.14295i | 0.177248 | − | 0.238242i | ||||
\(467\) | 1.91248 | − | 9.61468i | 0.0884990 | − | 0.444914i | −0.910974 | − | 0.412463i | \(-0.864669\pi\) |
0.999473 | − | 0.0324513i | \(-0.0103314\pi\) | |||||||
\(468\) | 11.9960 | − | 24.7393i | 0.554517 | − | 1.14357i | ||||
\(469\) | 3.70901 | + | 2.47828i | 0.171266 | + | 0.114436i | ||||
\(470\) | −5.23688 | + | 4.73212i | −0.241559 | + | 0.218277i | ||||
\(471\) | 2.83385 | + | 1.94116i | 0.130577 | + | 0.0894441i | ||||
\(472\) | −41.7873 | − | 0.872200i | −1.92342 | − | 0.0401463i | ||||
\(473\) | 15.1939 | + | 11.6587i | 0.698615 | + | 0.536066i | ||||
\(474\) | 3.94778 | − | 30.7774i | 0.181327 | − | 1.41365i | ||||
\(475\) | −9.86773 | − | 3.34964i | −0.452762 | − | 0.153692i | ||||
\(476\) | 0.996931 | + | 6.15330i | 0.0456943 | + | 0.282036i | ||||
\(477\) | −12.9680 | + | 10.8538i | −0.593762 | + | 0.496964i | ||||
\(478\) | −30.2181 | − | 16.8527i | −1.38214 | − | 0.770826i | ||||
\(479\) | 5.46641 | + | 3.15603i | 0.249767 | + | 0.144203i | 0.619657 | − | 0.784872i | \(-0.287272\pi\) |
−0.369891 | + | 0.929075i | \(0.620605\pi\) | |||||||
\(480\) | −2.60270 | + | 3.37314i | −0.118797 | + | 0.153962i | ||||
\(481\) | 21.0023 | − | 12.1257i | 0.957623 | − | 0.552884i | ||||
\(482\) | 21.3574 | − | 0.317399i | 0.972805 | − | 0.0144571i | ||||
\(483\) | −13.5519 | − | 1.94338i | −0.616631 | − | 0.0884270i | ||||
\(484\) | 19.9818 | − | 8.98139i | 0.908266 | − | 0.408245i | ||||
\(485\) | −1.05155 | − | 5.28648i | −0.0477483 | − | 0.240047i | ||||
\(486\) | 12.6597 | + | 18.0480i | 0.574256 | + | 0.818676i | ||||
\(487\) | −9.68115 | + | 4.01006i | −0.438695 | + | 0.181713i | −0.591089 | − | 0.806607i | \(-0.701302\pi\) |
0.152394 | + | 0.988320i | \(0.451302\pi\) | |||||||
\(488\) | −19.1788 | − | 15.3628i | −0.868183 | − | 0.695439i | ||||
\(489\) | −17.3623 | + | 8.31461i | −0.785151 | + | 0.376000i | ||||
\(490\) | −3.75709 | + | 0.805547i | −0.169728 | + | 0.0363909i | ||||
\(491\) | −0.875656 | + | 13.3599i | −0.0395178 | + | 0.602925i | 0.931473 | + | 0.363810i | \(0.118524\pi\) |
−0.970991 | + | 0.239116i | \(0.923142\pi\) | |||||||
\(492\) | −8.52287 | − | 4.71612i | −0.384240 | − | 0.212619i | ||||
\(493\) | 10.0282 | + | 8.79450i | 0.451647 | + | 0.396084i | ||||
\(494\) | −1.62521 | + | 13.9427i | −0.0731215 | + | 0.627312i | ||||
\(495\) | −3.83177 | + | 4.76210i | −0.172225 | + | 0.214040i | ||||
\(496\) | −31.5199 | − | 15.7801i | −1.41529 | − | 0.708547i | ||||
\(497\) | 1.28772 | + | 4.80583i | 0.0577621 | + | 0.215571i | ||||
\(498\) | 11.0097 | + | 22.1395i | 0.493358 | + | 0.992095i | ||||
\(499\) | −1.86213 | − | 5.48566i | −0.0833604 | − | 0.245572i | 0.897256 | − | 0.441512i | \(-0.145558\pi\) |
−0.980616 | + | 0.195940i | \(0.937224\pi\) | |||||||
\(500\) | −8.49372 | + | 0.810798i | −0.379851 | + | 0.0362600i | ||||
\(501\) | −1.93929 | + | 1.89507i | −0.0866412 | + | 0.0846654i | ||||
\(502\) | −0.687766 | + | 13.5834i | −0.0306965 | + | 0.606256i | ||||
\(503\) | −4.54941 | + | 10.9832i | −0.202848 | + | 0.489719i | −0.992265 | − | 0.124139i | \(-0.960383\pi\) |
0.789417 | + | 0.613858i | \(0.210383\pi\) | |||||||
\(504\) | −6.73426 | + | 2.96072i | −0.299968 | + | 0.131881i | ||||
\(505\) | 0.440466 | + | 1.06338i | 0.0196005 | + | 0.0473197i | ||||
\(506\) | 20.2671 | + | 56.9120i | 0.900980 | + | 2.53005i | ||||
\(507\) | −6.78785 | − | 12.0764i | −0.301459 | − | 0.536333i | ||||
\(508\) | 6.05505 | + | 3.25992i | 0.268650 | + | 0.144636i | ||||
\(509\) | 1.79930 | + | 0.887317i | 0.0797526 | + | 0.0393296i | 0.481728 | − | 0.876321i | \(-0.340009\pi\) |
−0.401975 | + | 0.915651i | \(0.631676\pi\) | |||||||
\(510\) | −1.68219 | + | 3.43994i | −0.0744884 | + | 0.152323i | ||||
\(511\) | 2.36634 | − | 4.09863i | 0.104681 | − | 0.181313i | ||||
\(512\) | 17.9906 | + | 13.7236i | 0.795080 | + | 0.606504i | ||||
\(513\) | −9.13646 | − | 6.57303i | −0.403385 | − | 0.290206i | ||||
\(514\) | 1.61999 | − | 0.459982i | 0.0714548 | − | 0.0202890i | ||||
\(515\) | −0.206804 | − | 3.15521i | −0.00911285 | − | 0.139035i | ||||
\(516\) | −2.50930 | + | 13.9351i | −0.110466 | + | 0.613457i | ||||
\(517\) | 35.4583 | + | 40.4324i | 1.55945 | + | 1.77822i | ||||
\(518\) | −6.38212 | − | 1.17118i | −0.280414 | − | 0.0514585i | ||||
\(519\) | 18.8969 | − | 16.1904i | 0.829481 | − | 0.710681i | ||||
\(520\) | 1.69984 | + | 5.37346i | 0.0745430 | + | 0.235642i | ||||
\(521\) | 11.3884 | − | 27.4940i | 0.498934 | − | 1.20453i | −0.451125 | − | 0.892461i | \(-0.648977\pi\) |
0.950059 | − | 0.312072i | \(-0.101023\pi\) | |||||||
\(522\) | −7.07758 | + | 14.0599i | −0.309777 | + | 0.615385i | ||||
\(523\) | 1.39686 | − | 2.09054i | 0.0610803 | − | 0.0914131i | −0.799672 | − | 0.600437i | \(-0.794993\pi\) |
0.860753 | + | 0.509024i | \(0.169993\pi\) | |||||||
\(524\) | −13.6391 | − | 19.1547i | −0.595828 | − | 0.836776i | ||||
\(525\) | −6.64190 | − | 2.84134i | −0.289876 | − | 0.124006i | ||||
\(526\) | −3.07004 | + | 7.73487i | −0.133860 | + | 0.337256i | ||||
\(527\) | −30.6015 | − | 8.19964i | −1.33302 | − | 0.357182i | ||||
\(528\) | 25.4032 | + | 20.2103i | 1.10553 | + | 0.879541i | ||||
\(529\) | −58.0745 | + | 15.5610i | −2.52498 | + | 0.676566i | ||||
\(530\) | 0.401343 | − | 3.44314i | 0.0174332 | − | 0.149560i | ||||
\(531\) | −18.6852 | − | 40.2016i | −0.810870 | − | 1.74460i | ||||
\(532\) | 2.74890 | − | 2.55917i | 0.119180 | − | 0.110954i | ||||
\(533\) | −11.5564 | + | 5.69897i | −0.500562 | + | 0.246850i | ||||
\(534\) | 31.2125 | − | 0.103859i | 1.35070 | − | 0.00449442i | ||||
\(535\) | −0.370857 | − | 2.81694i | −0.0160336 | − | 0.121787i | ||||
\(536\) | 13.5587 | − | 5.28749i | 0.585648 | − | 0.228385i | ||||
\(537\) | 5.19692 | − | 14.7486i | 0.224264 | − | 0.636449i | ||||
\(538\) | −3.94759 | + | 8.31413i | −0.170193 | + | 0.358448i | ||||
\(539\) | 5.71160 | + | 28.7142i | 0.246016 | + | 1.23681i | ||||
\(540\) | −4.42779 | − | 0.903216i | −0.190542 | − | 0.0388682i | ||||
\(541\) | −4.65824 | − | 6.97155i | −0.200273 | − | 0.299730i | 0.717716 | − | 0.696336i | \(-0.245188\pi\) |
−0.917989 | + | 0.396606i | \(0.870188\pi\) | |||||||
\(542\) | 8.96340 | + | 15.0056i | 0.385011 | + | 0.644546i | ||||
\(543\) | 18.5135 | + | 16.6175i | 0.794491 | + | 0.713126i | ||||
\(544\) | 18.3184 | + | 8.83294i | 0.785395 | + | 0.378709i | ||||
\(545\) | 1.21958 | − | 0.704128i | 0.0522413 | − | 0.0301615i | ||||
\(546\) | −1.86669 | + | 9.55044i | −0.0798868 | + | 0.408721i | ||||
\(547\) | 39.5051 | − | 2.58930i | 1.68912 | − | 0.110711i | 0.809725 | − | 0.586809i | \(-0.199616\pi\) |
0.879392 | + | 0.476099i | \(0.157949\pi\) | |||||||
\(548\) | −0.951380 | − | 5.87215i | −0.0406409 | − | 0.250846i | ||||
\(549\) | 5.67301 | − | 25.4389i | 0.242118 | − | 1.08571i | ||||
\(550\) | 2.55741 | + | 31.7757i | 0.109048 | + | 1.35492i | ||||
\(551\) | 1.04896 | − | 7.96766i | 0.0446873 | − | 0.339434i | ||||
\(552\) | −30.5221 | + | 32.6092i | −1.29911 | + | 1.38794i | ||||
\(553\) | 1.43349 | + | 10.8884i | 0.0609582 | + | 0.463023i | ||||
\(554\) | −0.550291 | − | 2.56657i | −0.0233796 | − | 0.109043i | ||||
\(555\) | −2.78581 | − | 2.85082i | −0.118251 | − | 0.121011i | ||||
\(556\) | −28.2152 | − | 17.6631i | −1.19659 | − | 0.749082i | ||||
\(557\) | 1.51751 | − | 7.62905i | 0.0642991 | − | 0.323253i | −0.935227 | − | 0.354050i | \(-0.884804\pi\) |
0.999526 | + | 0.0307964i | \(0.00980436\pi\) | |||||||
\(558\) | 0.306770 | − | 37.3863i | 0.0129866 | − | 1.58269i | ||||
\(559\) | 13.2441 | + | 13.2441i | 0.560167 | + | 0.560167i | ||||
\(560\) | 0.585427 | − | 1.38967i | 0.0247388 | − | 0.0587241i | ||||
\(561\) | 26.0164 | + | 13.2050i | 1.09841 | + | 0.557516i | ||||
\(562\) | 3.45219 | + | 1.37021i | 0.145622 | + | 0.0577987i | ||||
\(563\) | 10.1020 | + | 29.7595i | 0.425748 | + | 1.25421i | 0.922391 | + | 0.386258i | \(0.126233\pi\) |
−0.496643 | + | 0.867955i | \(0.665434\pi\) | |||||||
\(564\) | −14.5447 | + | 37.0036i | −0.612443 | + | 1.55813i | ||||
\(565\) | 3.43083 | + | 6.95703i | 0.144336 | + | 0.292684i | ||||
\(566\) | −13.2814 | − | 25.9526i | −0.558260 | − | 1.09087i | ||||
\(567\) | −5.96460 | − | 5.03033i | −0.250490 | − | 0.211254i | ||||
\(568\) | 15.2584 | + | 5.53722i | 0.640226 | + | 0.232337i | ||||
\(569\) | −16.9801 | − | 2.23548i | −0.711845 | − | 0.0937161i | −0.234097 | − | 0.972213i | \(-0.575213\pi\) |
−0.477748 | + | 0.878497i | \(0.658547\pi\) | |||||||
\(570\) | 2.28639 | − | 0.308753i | 0.0957665 | − | 0.0129322i | ||||
\(571\) | −17.4788 | − | 19.9307i | −0.731465 | − | 0.834076i | 0.259841 | − | 0.965651i | \(-0.416330\pi\) |
−0.991306 | + | 0.131575i | \(0.957996\pi\) | |||||||
\(572\) | 41.1296 | − | 12.3417i | 1.71971 | − | 0.516032i | ||||
\(573\) | 22.9250 | + | 18.0148i | 0.957705 | + | 0.752578i | ||||
\(574\) | 3.34298 | + | 0.842711i | 0.139533 | + | 0.0351741i | ||||
\(575\) | −43.8620 | −1.82917 | ||||||||
\(576\) | −4.66697 | + | 23.5419i | −0.194457 | + | 0.980911i | ||||
\(577\) | 3.83106 | 0.159489 | 0.0797445 | − | 0.996815i | \(-0.474590\pi\) | ||||
0.0797445 | + | 0.996815i | \(0.474590\pi\) | |||||||
\(578\) | −5.58877 | − | 1.40884i | −0.232462 | − | 0.0586000i | ||||
\(579\) | 4.52329 | − | 1.81278i | 0.187982 | − | 0.0753366i | ||||
\(580\) | −0.927358 | − | 3.09049i | −0.0385065 | − | 0.128326i | ||||
\(581\) | −5.77016 | − | 6.57961i | −0.239387 | − | 0.272968i | ||||
\(582\) | −18.5637 | − | 24.0267i | −0.769490 | − | 0.995939i | ||||
\(583\) | −26.1858 | − | 3.44742i | −1.08450 | − | 0.142778i | ||||
\(584\) | −6.53860 | − | 13.9875i | −0.270569 | − | 0.578805i | ||||
\(585\) | −4.32330 | + | 4.12832i | −0.178746 | + | 0.170685i | ||||
\(586\) | 19.9828 | + | 39.0473i | 0.825480 | + | 1.61303i | ||||
\(587\) | 2.07635 | + | 4.21042i | 0.0857000 | + | 0.173782i | 0.935504 | − | 0.353317i | \(-0.114946\pi\) |
−0.849804 | + | 0.527099i | \(0.823280\pi\) | |||||||
\(588\) | −16.9297 | + | 13.4868i | −0.698169 | + | 0.556186i | ||||
\(589\) | 6.13567 | + | 18.0751i | 0.252816 | + | 0.744772i | ||||
\(590\) | 8.44635 | + | 3.35243i | 0.347731 | + | 0.138018i | ||||
\(591\) | 0.666075 | + | 12.3417i | 0.0273987 | + | 0.507670i | ||||
\(592\) | −15.0586 | + | 14.8787i | −0.618904 | + | 0.611510i | ||||
\(593\) | −3.49751 | − | 3.49751i | −0.143626 | − | 0.143626i | 0.631638 | − | 0.775264i | \(-0.282383\pi\) |
−0.775264 | + | 0.631638i | \(0.782383\pi\) | |||||||
\(594\) | −7.38237 | + | 33.6304i | −0.302902 | + | 1.37987i | ||||
\(595\) | 0.264404 | − | 1.32925i | 0.0108395 | − | 0.0544939i | ||||
\(596\) | −17.8803 | + | 28.5621i | −0.732404 | + | 1.16995i | ||||
\(597\) | 1.30985 | − | 0.334832i | 0.0536086 | − | 0.0137038i | ||||
\(598\) | 12.3865 | + | 57.7707i | 0.506520 | + | 2.36242i | ||||
\(599\) | 3.23878 | + | 24.6010i | 0.132333 | + | 1.00517i | 0.920785 | + | 0.390071i | \(0.127550\pi\) |
−0.788452 | + | 0.615097i | \(0.789117\pi\) | |||||||
\(600\) | −20.0105 | + | 12.4523i | −0.816924 | + | 0.508362i | ||||
\(601\) | 4.51920 | − | 34.3268i | 0.184342 | − | 1.40022i | −0.609833 | − | 0.792530i | \(-0.708764\pi\) |
0.794176 | − | 0.607688i | \(-0.207903\pi\) | |||||||
\(602\) | −0.402034 | − | 4.99526i | −0.0163857 | − | 0.203591i | ||||
\(603\) | 11.3676 | + | 10.4426i | 0.462925 | + | 0.425257i | ||||
\(604\) | 11.0836 | − | 1.79571i | 0.450985 | − | 0.0730666i | ||||
\(605\) | −4.75292 | + | 0.311523i | −0.193234 | + | 0.0126652i | ||||
\(606\) | 4.88887 | + | 4.25873i | 0.198597 | + | 0.172999i | ||||
\(607\) | 38.0196 | − | 21.9506i | 1.54317 | − | 0.890948i | 0.544531 | − | 0.838741i | \(-0.316708\pi\) |
0.998636 | − | 0.0522072i | \(-0.0166256\pi\) | |||||||
\(608\) | −1.70681 | − | 12.1337i | −0.0692204 | − | 0.492085i | ||||
\(609\) | 1.14983 | − | 5.45125i | 0.0465934 | − | 0.220896i | ||||
\(610\) | 2.73980 | + | 4.58669i | 0.110931 | + | 0.185710i | ||||
\(611\) | 29.2200 | + | 43.7308i | 1.18211 | + | 1.76916i | ||||
\(612\) | 0.143549 | + | 21.5699i | 0.00580261 | + | 0.871913i | ||||
\(613\) | 4.25621 | + | 21.3974i | 0.171907 | + | 0.864232i | 0.966416 | + | 0.256981i | \(0.0827279\pi\) |
−0.794510 | + | 0.607251i | \(0.792272\pi\) | |||||||
\(614\) | 20.0314 | − | 42.1888i | 0.808403 | − | 1.70260i | ||||
\(615\) | 1.37792 | + | 1.60825i | 0.0555629 | + | 0.0648511i | ||||
\(616\) | −10.5207 | − | 4.61735i | −0.423893 | − | 0.186038i | ||||
\(617\) | −3.08522 | − | 23.4346i | −0.124206 | − | 0.943441i | −0.934137 | − | 0.356915i | \(-0.883829\pi\) |
0.809931 | − | 0.586526i | \(-0.199505\pi\) | |||||||
\(618\) | −8.95716 | − | 15.3957i | −0.360310 | − | 0.619307i | ||||
\(619\) | 21.3470 | − | 10.5272i | 0.858009 | − | 0.423123i | 0.0405960 | − | 0.999176i | \(-0.487074\pi\) |
0.817413 | + | 0.576053i | \(0.195408\pi\) | |||||||
\(620\) | 5.22215 | + | 5.60931i | 0.209726 | + | 0.225275i | ||||
\(621\) | −45.3085 | − | 13.8369i | −1.81817 | − | 0.555257i | ||||
\(622\) | 2.96489 | − | 25.4359i | 0.118881 | − | 1.01989i | ||||
\(623\) | −10.6708 | + | 2.85923i | −0.427517 | + | 0.114553i | ||||
\(624\) | 22.0518 | + | 22.8393i | 0.882777 | + | 0.914305i | ||||
\(625\) | −21.4431 | − | 5.74565i | −0.857722 | − | 0.229826i | ||||
\(626\) | −12.0601 | + | 30.3850i | −0.482018 | + | 1.21443i | ||||
\(627\) | −2.09334 | − | 17.4536i | −0.0835998 | − | 0.697030i | ||||
\(628\) | −3.23095 | + | 2.30060i | −0.128929 | + | 0.0918041i | ||||
\(629\) | −10.5704 | + | 15.8197i | −0.421469 | + | 0.630773i | ||||
\(630\) | 1.59680 | − | 0.0915080i | 0.0636179 | − | 0.00364577i | ||||
\(631\) | 1.19806 | − | 2.89237i | 0.0476940 | − | 0.115144i | −0.898237 | − | 0.439511i | \(-0.855152\pi\) |
0.945931 | + | 0.324368i | \(0.105152\pi\) | |||||||
\(632\) | 31.7971 | + | 16.5143i | 1.26482 | + | 0.656902i | ||||
\(633\) | −7.13462 | − | 38.1632i | −0.283576 | − | 1.51685i | ||||
\(634\) | 17.1439 | + | 3.14606i | 0.680872 | + | 0.124946i | ||||
\(635\) | −0.985824 | − | 1.12412i | −0.0391212 | − | 0.0446092i | ||||
\(636\) | −6.61195 | − | 18.3734i | −0.262181 | − | 0.728552i | ||||
\(637\) | 1.87265 | + | 28.5712i | 0.0741973 | + | 1.13203i | ||||
\(638\) | −23.6496 | + | 6.71508i | −0.936295 | + | 0.265853i | ||||
\(639\) | 1.85295 | + | 17.1166i | 0.0733015 | + | 0.677124i | ||||
\(640\) | −2.62228 | − | 4.16251i | −0.103655 | − | 0.164537i | ||||
\(641\) | −19.2143 | + | 33.2801i | −0.758918 | + | 1.31449i | 0.184484 | + | 0.982835i | \(0.440939\pi\) |
−0.943403 | + | 0.331650i | \(0.892395\pi\) | |||||||
\(642\) | −8.93616 | − | 13.2780i | −0.352682 | − | 0.524043i | ||||
\(643\) | 17.8006 | + | 8.77831i | 0.701989 | + | 0.346183i | 0.758006 | − | 0.652247i | \(-0.226174\pi\) |
−0.0560175 | + | 0.998430i | \(0.517840\pi\) | |||||||
\(644\) | 7.49389 | − | 13.9193i | 0.295301 | − | 0.548498i | ||||
\(645\) | 1.56988 | − | 2.64811i | 0.0618141 | − | 0.104269i | ||||
\(646\) | −3.69448 | − | 10.3745i | −0.145358 | − | 0.408179i | ||||
\(647\) | 4.97290 | + | 12.0057i | 0.195505 | + | 0.471991i | 0.990982 | − | 0.133992i | \(-0.0427798\pi\) |
−0.795477 | + | 0.605983i | \(0.792780\pi\) | |||||||
\(648\) | −24.5986 | + | 6.55033i | −0.966326 | + | 0.257321i | ||||
\(649\) | 26.4965 | − | 63.9681i | 1.04008 | − | 2.51097i | ||||
\(650\) | −1.57656 | + | 31.1371i | −0.0618378 | + | 1.22130i | ||||
\(651\) | 3.27725 | + | 12.8205i | 0.128445 | + | 0.502474i | ||||
\(652\) | −2.11231 | − | 22.1280i | −0.0827243 | − | 0.866600i | ||||
\(653\) | 1.46540 | + | 4.31692i | 0.0573454 | + | 0.168934i | 0.971828 | − | 0.235691i | \(-0.0757353\pi\) |
−0.914483 | + | 0.404625i | \(0.867402\pi\) | |||||||
\(654\) | 4.38528 | − | 6.61055i | 0.171478 | − | 0.258493i | ||||
\(655\) | 1.32321 | + | 4.93828i | 0.0517020 | + | 0.192955i | ||||
\(656\) | 8.50079 | − | 7.36510i | 0.331900 | − | 0.287559i | ||||
\(657\) | 10.2666 | − | 12.7593i | 0.400539 | − | 0.497787i | ||||
\(658\) | 1.62927 | − | 13.9776i | 0.0635156 | − | 0.544903i | ||||
\(659\) | 1.63238 | + | 1.43156i | 0.0635886 | + | 0.0557657i | 0.690550 | − | 0.723284i | \(-0.257368\pi\) |
−0.626962 | + | 0.779050i | \(0.715702\pi\) | |||||||
\(660\) | −3.63951 | − | 6.04710i | −0.141668 | − | 0.235383i | ||||
\(661\) | 1.88511 | − | 28.7612i | 0.0733223 | − | 1.11868i | −0.789692 | − | 0.613503i | \(-0.789760\pi\) |
0.863015 | − | 0.505179i | \(-0.168573\pi\) | |||||||
\(662\) | −28.7617 | + | 6.16672i | −1.11786 | + | 0.239676i | ||||
\(663\) | 23.5406 | + | 16.1251i | 0.914240 | + | 0.626246i | ||||
\(664\) | −28.3784 | + | 3.13515i | −1.10130 | + | 0.121667i | ||||
\(665\) | −0.754418 | + | 0.312490i | −0.0292551 | + | 0.0121179i | ||||
\(666\) | −21.2018 | − | 7.39161i | −0.821554 | − | 0.286419i | ||||
\(667\) | −6.59914 | − | 33.1761i | −0.255520 | − | 1.28458i | ||||
\(668\) | −1.28359 | − | 2.85574i | −0.0496636 | − | 0.110492i | ||||
\(669\) | −10.6761 | + | 13.5860i | −0.412760 | + | 0.525264i | ||||
\(670\) | −3.16380 | + | 0.0470181i | −0.122228 | + | 0.00181647i | ||||
\(671\) | 35.2534 | − | 20.3536i | 1.36094 | − | 0.785741i | ||||
\(672\) | −0.532828 | − | 8.47768i | −0.0205543 | − | 0.327033i | ||||
\(673\) | −7.67358 | − | 4.43034i | −0.295795 | − | 0.170777i | 0.344757 | − | 0.938692i | \(-0.387961\pi\) |
−0.640552 | + | 0.767915i | \(0.721294\pi\) | |||||||
\(674\) | −1.77766 | − | 0.991407i | −0.0684728 | − | 0.0381876i | ||||
\(675\) | −21.2038 | − | 13.2405i | −0.816135 | − | 0.509628i | ||||
\(676\) | 15.7906 | − | 2.55832i | 0.607329 | − | 0.0983968i | ||||
\(677\) | −30.0323 | − | 10.1946i | −1.15424 | − | 0.391811i | −0.322276 | − | 0.946646i | \(-0.604448\pi\) |
−0.831960 | + | 0.554835i | \(0.812781\pi\) | |||||||
\(678\) | 34.7546 | + | 26.4849i | 1.33474 | + | 1.01715i | ||||
\(679\) | 8.52567 | + | 6.54198i | 0.327185 | + | 0.251058i | ||||
\(680\) | −3.06062 | − | 3.19111i | −0.117370 | − | 0.122374i | ||||
\(681\) | −0.0884673 | + | 1.14692i | −0.00339007 | + | 0.0439499i | ||||
\(682\) | 43.3252 | − | 39.1493i | 1.65901 | − | 1.49910i | ||||
\(683\) | −5.07279 | − | 3.38953i | −0.194105 | − | 0.129697i | 0.454720 | − | 0.890634i | \(-0.349739\pi\) |
−0.648825 | + | 0.760938i | \(0.724739\pi\) | |||||||
\(684\) | 10.7578 | − | 7.29216i | 0.411335 | − | 0.278823i | ||||
\(685\) | −0.252323 | + | 1.26851i | −0.00964077 | + | 0.0484674i | ||||
\(686\) | 9.69574 | − | 13.0322i | 0.370185 | − | 0.497573i | ||||
\(687\) | 3.92216 | + | 6.01905i | 0.149640 | + | 0.229641i | ||||
\(688\) | −14.1098 | − | 8.25974i | −0.537931 | − | 0.314900i | ||||
\(689\) | −24.9504 | − | 6.68543i | −0.950534 | − | 0.254695i | ||||
\(690\) | 8.69520 | − | 4.32403i | 0.331021 | − | 0.164613i | ||||
\(691\) | 11.9350 | − | 13.6093i | 0.454030 | − | 0.517721i | −0.478856 | − | 0.877893i | \(-0.658949\pi\) |
0.932886 | + | 0.360172i | \(0.117282\pi\) | |||||||
\(692\) | 10.0406 | + | 26.9224i | 0.381687 | + | 1.02344i | ||||
\(693\) | −0.516356 | − | 12.1754i | −0.0196148 | − | 0.462505i | ||||
\(694\) | −3.26944 | − | 6.38864i | −0.124106 | − | 0.242510i | ||||
\(695\) | 4.40586 | + | 5.74183i | 0.167124 | + | 0.217800i | ||||
\(696\) | −12.4292 | − | 13.2619i | −0.471127 | − | 0.502692i | ||||
\(697\) | 6.15394 | − | 8.01997i | 0.233097 | − | 0.303778i | ||||
\(698\) | −3.07866 | + | 16.7766i | −0.116529 | + | 0.635005i | ||||
\(699\) | −4.00355 | + | 6.75328i | −0.151428 | + | 0.255432i | ||||
\(700\) | 5.72060 | − | 6.07115i | 0.216218 | − | 0.229468i | ||||
\(701\) | −6.93188 | + | 4.63173i | −0.261813 | + | 0.174938i | −0.679548 | − | 0.733631i | \(-0.737824\pi\) |
0.417735 | + | 0.908569i | \(0.362824\pi\) | |||||||
\(702\) | −11.4512 | + | 31.6666i | −0.432198 | + | 1.19518i | ||||
\(703\) | 11.4635 | 0.432353 | ||||||||
\(704\) | −32.0085 | + | 19.5063i | −1.20637 | + | 0.735172i | ||||
\(705\) | 5.77427 | − | 6.43310i | 0.217472 | − | 0.242284i | ||||
\(706\) | −5.68530 | + | 5.85683i | −0.213969 | + | 0.220425i | ||||
\(707\) | −2.05813 | − | 1.01496i | −0.0774039 | − | 0.0381714i | ||||
\(708\) | 51.0110 | − | 4.27641i | 1.91711 | − | 0.160717i | ||||
\(709\) | 6.25301 | − | 18.4208i | 0.234837 | − | 0.691806i | −0.764074 | − | 0.645129i | \(-0.776804\pi\) |
0.998910 | − | 0.0466769i | \(-0.0148631\pi\) | |||||||
\(710\) | −2.68764 | − | 2.28725i | −0.100865 | − | 0.0858388i | ||||
\(711\) | −0.876482 | + | 37.9931i | −0.0328707 | + | 1.42485i | ||||
\(712\) | −12.2948 | + | 33.8794i | −0.460766 | + | 1.26969i | ||||
\(713\) | 48.9102 | + | 63.7410i | 1.83170 | + | 2.38712i | ||||
\(714\) | −2.00048 | − | 7.36774i | −0.0748660 | − | 0.275731i | ||||
\(715\) | −9.31629 | − | 0.610622i | −0.348409 | − | 0.0228360i | ||||
\(716\) | 13.9234 | + | 11.4968i | 0.520343 | + | 0.429657i | ||||
\(717\) | 38.9606 | + | 16.6670i | 1.45501 | + | 0.622440i | ||||
\(718\) | −0.236416 | − | 1.61045i | −0.00882295 | − | 0.0601014i | ||||
\(719\) | 2.04834 | − | 2.04834i | 0.0763903 | − | 0.0763903i | −0.667879 | − | 0.744270i | \(-0.732798\pi\) |
0.744270 | + | 0.667879i | \(0.232798\pi\) | |||||||
\(720\) | 2.73930 | − | 4.44122i | 0.102088 | − | 0.165514i | ||||
\(721\) | 4.45773 | + | 4.45773i | 0.166015 | + | 0.166015i | ||||
\(722\) | 12.0783 | − | 16.2346i | 0.449506 | − | 0.604190i | ||||
\(723\) | −25.9742 | + | 3.11527i | −0.965990 | + | 0.115858i | ||||
\(724\) | −25.3747 | + | 13.4652i | −0.943045 | + | 0.500431i | ||||
\(725\) | 1.16739 | − | 17.8110i | 0.0433559 | − | 0.661483i | ||||
\(726\) | −23.1917 | + | 13.4928i | −0.860724 | + | 0.500765i | ||||
\(727\) | 2.70386 | − | 2.07474i | 0.100281 | − | 0.0769480i | −0.557404 | − | 0.830241i | \(-0.688203\pi\) |
0.657685 | + | 0.753293i | \(0.271536\pi\) | |||||||
\(728\) | −9.61179 | − | 5.82013i | −0.356237 | − | 0.215708i | ||||
\(729\) | −17.7262 | − | 20.3662i | −0.656525 | − | 0.754305i | ||||
\(730\) | 0.269312 | + | 3.34619i | 0.00996769 | + | 0.123848i | ||||
\(731\) | −13.9147 | − | 4.72339i | −0.514652 | − | 0.174701i | ||||
\(732\) | 25.3237 | + | 16.2625i | 0.935992 | + | 0.601079i | ||||
\(733\) | 9.60582 | − | 19.4787i | 0.354799 | − | 0.719461i | −0.644169 | − | 0.764883i | \(-0.722797\pi\) |
0.998968 | + | 0.0454222i | \(0.0144633\pi\) | |||||||
\(734\) | 0.467763 | + | 31.4753i | 0.0172654 | + | 1.16177i | ||||
\(735\) | 4.47345 | − | 1.46122i | 0.165006 | − | 0.0538978i | ||||
\(736\) | −23.2194 | − | 46.0522i | −0.855878 | − | 1.69751i | ||||
\(737\) | 24.1084i | 0.888046i | ||||||||
\(738\) | 10.9839 | + | 4.65564i | 0.404324 | + | 0.171377i | ||||
\(739\) | 21.6030 | + | 32.3311i | 0.794677 | + | 1.18932i | 0.978477 | + | 0.206355i | \(0.0661602\pi\) |
−0.183800 | + | 0.982964i | \(0.558840\pi\) | |||||||
\(740\) | 4.19803 | − | 1.88692i | 0.154323 | − | 0.0693645i | ||||
\(741\) | 0.198264 | − | 17.1907i | 0.00728342 | − | 0.631518i | ||||
\(742\) | 3.92463 | + | 5.68878i | 0.144078 | + | 0.208842i | ||||
\(743\) | 28.0095 | + | 21.4925i | 1.02757 | + | 0.788482i | 0.977643 | − | 0.210271i | \(-0.0674347\pi\) |
0.0499264 | + | 0.998753i | \(0.484101\pi\) | |||||||
\(744\) | 40.4094 | + | 15.1941i | 1.48148 | + | 0.557043i | ||||
\(745\) | 5.81242 | − | 4.46003i | 0.212951 | − | 0.163403i | ||||
\(746\) | 9.23894 | − | 28.6068i | 0.338262 | − | 1.04737i | ||||
\(747\) | −16.2391 | − | 25.5607i | −0.594158 | − | 0.935217i | ||||
\(748\) | −24.6577 | + | 22.9557i | −0.901574 | + | 0.839345i | ||||
\(749\) | 4.25896 | + | 3.73501i | 0.155619 | + | 0.136474i | ||||
\(750\) | 10.2423 | − | 2.07277i | 0.373996 | − | 0.0756869i | ||||
\(751\) | −5.78959 | + | 21.6070i | −0.211265 | + | 0.788452i | 0.776183 | + | 0.630508i | \(0.217153\pi\) |
−0.987448 | + | 0.157944i | \(0.949513\pi\) | |||||||
\(752\) | −34.3347 | − | 30.4776i | −1.25206 | − | 1.11140i | ||||
\(753\) | −0.897689 | − | 16.6333i | −0.0327136 | − | 0.606150i | ||||
\(754\) | −23.7885 | + | 3.49217i | −0.866326 | + | 0.127177i | ||||
\(755\) | −2.39430 | − | 0.476256i | −0.0871375 | − | 0.0173327i | ||||
\(756\) | 7.82449 | − | 4.46673i | 0.284574 | − | 0.162453i | ||||
\(757\) | −8.29565 | + | 12.4153i | −0.301510 | + | 0.451242i | −0.951028 | − | 0.309104i | \(-0.899971\pi\) |
0.649518 | + | 0.760346i | \(0.274971\pi\) | |||||||
\(758\) | 1.65533 | − | 32.6929i | 0.0601244 | − | 1.18746i | ||||
\(759\) | −31.9577 | − | 66.7331i | −1.15999 | − | 2.42226i | ||||
\(760\) | −0.574145 | + | 2.60146i | −0.0208264 | + | 0.0943648i | ||||
\(761\) | 10.9142 | − | 14.2236i | 0.395639 | − | 0.515606i | −0.552479 | − | 0.833527i | \(-0.686318\pi\) |
0.948117 | + | 0.317921i | \(0.102985\pi\) | |||||||
\(762\) | −7.79193 | − | 3.19719i | −0.282272 | − | 0.115822i | ||||
\(763\) | −0.902506 | + | 2.65870i | −0.0326729 | + | 0.0962513i | ||||
\(764\) | −28.6432 | + | 17.6923i | −1.03627 | + | 0.640086i | ||||
\(765\) | 1.60952 | − | 4.40498i | 0.0581922 | − | 0.159263i | ||||
\(766\) | −34.4150 | + | 9.77182i | −1.24346 | + | 0.353070i | ||||
\(767\) | 33.8575 | − | 58.6429i | 1.22252 | − | 2.11747i | ||||
\(768\) | −23.6670 | − | 14.4177i | −0.854011 | − | 0.520255i | ||||
\(769\) | −13.6247 | − | 23.5987i | −0.491319 | − | 0.850990i | 0.508631 | − | 0.860985i | \(-0.330152\pi\) |
−0.999950 | + | 0.00999508i | \(0.996818\pi\) | |||||||
\(770\) | 1.79241 | + | 1.73992i | 0.0645941 | + | 0.0627024i | ||||
\(771\) | −1.91448 | + | 0.767260i | −0.0689485 | + | 0.0276322i | ||||
\(772\) | 0.167208 | + | 5.62440i | 0.00601796 | + | 0.202427i | ||||
\(773\) | −2.13667 | + | 0.425011i | −0.0768508 | + | 0.0152866i | −0.233366 | − | 0.972389i | \(-0.574974\pi\) |
0.156515 | + | 0.987676i | \(0.449974\pi\) | |||||||
\(774\) | 1.27613 | − | 17.2944i | 0.0458694 | − | 0.621633i | ||||
\(775\) | 16.2240 | + | 39.1683i | 0.582784 | + | 1.40697i | ||||
\(776\) | 33.4271 | − | 10.5744i | 1.19996 | − | 0.379597i | ||||
\(777\) | 7.92346 | + | 0.611176i | 0.284253 | + | 0.0219258i | ||||
\(778\) | −16.6033 | − | 10.7406i | −0.595256 | − | 0.385068i | ||||
\(779\) | −6.07771 | − | 0.398354i | −0.217756 | − | 0.0142725i | ||||
\(780\) | −2.75704 | − | 6.32803i | −0.0987177 | − | 0.226580i | ||||
\(781\) | −17.7294 | + | 20.2166i | −0.634409 | + | 0.723405i | ||||
\(782\) | −28.7616 | − | 36.3514i | −1.02851 | − | 1.29992i | ||||
\(783\) | 6.82462 | − | 18.0301i | 0.243892 | − | 0.644342i | ||||
\(784\) | −7.89155 | − | 23.7150i | −0.281841 | − | 0.846964i | ||||
\(785\) | 0.832973 | − | 0.223194i | 0.0297301 | − | 0.00796615i | ||||
\(786\) | 19.0605 | + | 21.5890i | 0.679867 | + | 0.770056i | ||||
\(787\) | −1.24966 | + | 0.424202i | −0.0445456 | + | 0.0151212i | −0.343623 | − | 0.939108i | \(-0.611654\pi\) |
0.299078 | + | 0.954229i | \(0.403321\pi\) | |||||||
\(788\) | −13.6447 | − | 4.18387i | −0.486071 | − | 0.149044i | ||||
\(789\) | 2.75128 | − | 9.81379i | 0.0979483 | − | 0.349380i | ||||
\(790\) | −5.22283 | − | 5.77993i | −0.185820 | − | 0.205641i | ||||
\(791\) | −14.2882 | − | 5.91837i | −0.508030 | − | 0.210433i | ||||
\(792\) | −33.5248 | − | 21.3719i | −1.19125 | − | 0.759417i | ||||
\(793\) | 36.7809 | − | 15.2352i | 1.30613 | − | 0.541016i | ||||
\(794\) | 1.53669 | − | 3.23647i | 0.0545350 | − | 0.114858i | ||||
\(795\) | −0.0489612 | + | 4.24524i | −0.00173647 | + | 0.150563i | ||||
\(796\) | −0.157684 | + | 1.55314i | −0.00558895 | + | 0.0550494i | ||||
\(797\) | −22.6087 | + | 45.8460i | −0.800843 | + | 1.62395i | −0.0195301 | + | 0.999809i | \(0.506217\pi\) |
−0.781313 | + | 0.624140i | \(0.785450\pi\) | |||||||
\(798\) | −3.02137 | + | 3.46843i | −0.106955 | + | 0.122781i | ||||
\(799\) | −35.7345 | − | 20.6313i | −1.26420 | − | 0.729884i | ||||
\(800\) | −5.54535 | − | 26.6437i | −0.196058 | − | 0.941997i | ||||
\(801\) | −38.0056 | + | 4.11426i | −1.34286 | + | 0.145370i | ||||
\(802\) | 26.2430 | + | 14.6358i | 0.926673 | + | 0.516809i | ||||
\(803\) | 25.5231 | − | 1.67287i | 0.900692 | − | 0.0590344i | ||||
\(804\) | −15.8398 | + | 8.17278i | −0.558628 | + | 0.288232i | ||||
\(805\) | −2.58411 | + | 2.26621i | −0.0910780 | + | 0.0798733i | ||||
\(806\) | 47.0069 | − | 32.4296i | 1.65575 | − | 1.14229i | ||||
\(807\) | 3.74618 | − | 10.6315i | 0.131872 | − | 0.374246i | ||||
\(808\) | −6.56036 | + | 3.60723i | −0.230793 | + | 0.126902i | ||||
\(809\) | 15.0779 | + | 6.24547i | 0.530110 | + | 0.219579i | 0.631652 | − | 0.775252i | \(-0.282377\pi\) |
−0.101541 | + | 0.994831i | \(0.532377\pi\) | |||||||
\(810\) | 5.50872 | + | 0.534474i | 0.193557 | + | 0.0187795i | ||||
\(811\) | −14.4992 | − | 9.68807i | −0.509137 | − | 0.340194i | 0.274322 | − | 0.961638i | \(-0.411546\pi\) |
−0.783459 | + | 0.621444i | \(0.786546\pi\) | |||||||
\(812\) | 5.45274 | + | 3.41349i | 0.191354 | + | 0.119790i | ||||
\(813\) | −12.8351 | − | 17.1326i | −0.450147 | − | 0.600866i | ||||
\(814\) | −13.9000 | − | 32.1959i | −0.487195 | − | 1.12846i | ||||
\(815\) | −1.25085 | + | 4.66825i | −0.0438155 | + | 0.163522i | ||||
\(816\) | −23.4415 | − | 8.41869i | −0.820616 | − | 0.294713i | ||||
\(817\) | 2.29148 | + | 8.55190i | 0.0801686 | + | 0.299193i | ||||
\(818\) | 1.31302 | − | 1.03888i | 0.0459088 | − | 0.0363236i | ||||
\(819\) | 1.05356 | − | 11.8715i | 0.0368145 | − | 0.414825i | ||||
\(820\) | −2.29128 | + | 0.854526i | −0.0800150 | + | 0.0298413i | ||||
\(821\) | 10.8588 | + | 22.0195i | 0.378975 | + | 0.768485i | 0.999881 | − | 0.0153994i | \(-0.00490196\pi\) |
−0.620906 | + | 0.783885i | \(0.713235\pi\) | |||||||
\(822\) | 1.90907 | + | 7.03109i | 0.0665866 | + | 0.245238i | ||||
\(823\) | 34.5282 | − | 4.54573i | 1.20358 | − | 0.158454i | 0.498058 | − | 0.867144i | \(-0.334047\pi\) |
0.705521 | + | 0.708689i | \(0.250713\pi\) | |||||||
\(824\) | 20.2514 | − | 3.59065i | 0.705491 | − | 0.125086i | ||||
\(825\) | −7.17479 | − | 38.3781i | −0.249794 | − | 1.33615i | ||||
\(826\) | −17.0679 | + | 6.07808i | −0.593868 | + | 0.211483i | ||||
\(827\) | −43.1412 | + | 8.58132i | −1.50017 | + | 0.298402i | −0.875779 | − | 0.482713i | \(-0.839652\pi\) |
−0.624388 | + | 0.781114i | \(0.714652\pi\) | |||||||
\(828\) | 33.0116 | − | 43.6196i | 1.14723 | − | 1.51588i | ||||
\(829\) | −24.3856 | + | 16.2939i | −0.846947 | + | 0.565912i | −0.901589 | − | 0.432594i | \(-0.857598\pi\) |
0.0546421 | + | 0.998506i | \(0.482598\pi\) | |||||||
\(830\) | 6.01924 | + | 1.51736i | 0.208931 | + | 0.0526682i | ||||
\(831\) | 0.998198 | + | 3.05594i | 0.0346271 | + | 0.106009i | ||||
\(832\) | −33.5264 | + | 14.8279i | −1.16232 | + | 0.514063i | ||||
\(833\) | −11.2317 | − | 19.4539i | −0.389155 | − | 0.674036i | ||||
\(834\) | 36.6245 | + | 17.9100i | 1.26820 | + | 0.620171i | ||||
\(835\) | 0.0445218 | + | 0.679271i | 0.00154074 | + | 0.0235072i | ||||
\(836\) | 19.7539 | + | 4.66860i | 0.683204 | + | 0.161467i | ||||
\(837\) | 4.40286 | + | 45.5781i | 0.152185 | + | 1.57541i | ||||
\(838\) | −23.3582 | − | 19.8784i | −0.806895 | − | 0.686686i | ||||
\(839\) | 19.0896 | + | 2.51319i | 0.659044 | + | 0.0867649i | 0.452628 | − | 0.891699i | \(-0.350487\pi\) |
0.206416 | + | 0.978464i | \(0.433820\pi\) | |||||||
\(840\) | −0.535541 | + | 1.76750i | −0.0184779 | + | 0.0609844i | ||||
\(841\) | −15.1045 | + | 1.98855i | −0.520845 | + | 0.0685706i | ||||
\(842\) | 3.50133 | − | 5.41253i | 0.120664 | − | 0.186528i | ||||
\(843\) | −4.38005 | − | 1.22794i | −0.150857 | − | 0.0422926i | ||||
\(844\) | 44.2096 | + | 7.43556i | 1.52176 | + | 0.255943i | ||||
\(845\) | −3.41111 | − | 0.678512i | −0.117346 | − | 0.0233415i | ||||
\(846\) | 12.9888 | − | 46.9310i | 0.446563 | − | 1.61352i | ||||
\(847\) | 6.71499 | − | 6.71499i | 0.230730 | − | 0.230730i | ||||
\(848\) | 22.5473 | + | 0.135493i | 0.774277 | + | 0.00465284i | ||||
\(849\) | 19.4933 | + | 29.9150i | 0.669010 | + | 1.02668i | ||||
\(850\) | −9.69506 | − | 22.4562i | −0.332538 | − | 0.770240i | ||||
\(851\) | 45.6903 | − | 15.5098i | 1.56624 | − | 0.531668i | ||||
\(852\) | −19.2931 | − | 4.79526i | −0.660970 | − | 0.164283i | ||||
\(853\) | 23.5887 | − | 11.6327i | 0.807663 | − | 0.398295i | 0.00891421 | − | 0.999960i | \(-0.497162\pi\) |
0.798748 | + | 0.601665i | \(0.205496\pi\) | |||||||
\(854\) | −10.1364 | − | 3.27369i | −0.346861 | − | 0.112023i | ||||
\(855\) | −2.74552 | + | 0.668193i | −0.0938949 | + | 0.0228517i | ||||
\(856\) | 17.9472 | − | 4.40968i | 0.613424 | − | 0.150720i | ||||
\(857\) | 2.31378 | − | 17.5749i | 0.0790372 | − | 0.600347i | −0.905393 | − | 0.424574i | \(-0.860424\pi\) |
0.984431 | − | 0.175773i | \(-0.0562426\pi\) | |||||||
\(858\) | −48.5216 | + | 20.2877i | −1.65650 | + | 0.692612i | ||||
\(859\) | 13.4994 | − | 11.8387i | 0.460595 | − | 0.403931i | −0.397355 | − | 0.917665i | \(-0.630072\pi\) |
0.857949 | + | 0.513735i | \(0.171738\pi\) | |||||||
\(860\) | 2.24682 | + | 2.75460i | 0.0766161 | + | 0.0939310i | ||||
\(861\) | −4.17962 | − | 0.599372i | −0.142441 | − | 0.0204265i | ||||
\(862\) | −24.2447 | + | 14.4823i | −0.825778 | + | 0.493268i | ||||
\(863\) | 42.8172i | 1.45751i | 0.684772 | + | 0.728757i | \(0.259902\pi\) | ||||
−0.684772 | + | 0.728757i | \(0.740098\pi\) | |||||||
\(864\) | 2.67692 | − | 29.2717i | 0.0910706 | − | 0.995844i | ||||
\(865\) | − | 6.24727i | − | 0.212414i | ||||||
\(866\) | 25.5198 | + | 42.7226i | 0.867198 | + | 1.45177i | ||||
\(867\) | 6.98746 | + | 1.00203i | 0.237307 | + | 0.0340306i | ||||
\(868\) | −15.2017 | − | 1.54337i | −0.515979 | − | 0.0523853i | ||||
\(869\) | −44.6251 | + | 39.1352i | −1.51380 | + | 1.32757i | ||||
\(870\) | 1.52443 | + | 3.64593i | 0.0516829 | + | 0.123609i | ||||
\(871\) | −3.07754 | + | 23.3762i | −0.104278 | + | 0.792073i | ||||
\(872\) | 5.42343 | + | 7.38195i | 0.183660 | + | 0.249984i | ||||
\(873\) | 25.6814 | + | 26.8943i | 0.869185 | + | 0.910235i | ||||
\(874\) | −8.58335 | + | 26.5768i | −0.290336 | + | 0.898974i | ||||
\(875\) | −3.31715 | + | 1.63584i | −0.112140 | + | 0.0553015i | ||||
\(876\) | 9.75148 | + | 16.2022i | 0.329472 | + | 0.547422i | ||||
\(877\) | −36.4853 | + | 12.3851i | −1.23202 | + | 0.418215i | −0.860136 | − | 0.510065i | \(-0.829621\pi\) |
−0.371884 | + | 0.928279i | \(0.621288\pi\) | |||||||
\(878\) | −42.5629 | + | 18.3758i | −1.43643 | + | 0.620153i | ||||
\(879\) | −29.3290 | − | 45.0091i | −0.989243 | − | 1.51812i | ||||
\(880\) | 8.00253 | − | 1.54187i | 0.269765 | − | 0.0519764i | ||||
\(881\) | 3.32197 | − | 3.32197i | 0.111920 | − | 0.111920i | −0.648929 | − | 0.760849i | \(-0.724783\pi\) |
0.760849 | + | 0.648929i | \(0.224783\pi\) | |||||||
\(882\) | 18.8983 | − | 18.5907i | 0.636340 | − | 0.625982i | ||||
\(883\) | −14.7220 | − | 2.92838i | −0.495434 | − | 0.0985479i | −0.0589516 | − | 0.998261i | \(-0.518776\pi\) |
−0.436482 | + | 0.899713i | \(0.643776\pi\) | |||||||
\(884\) | −26.8392 | + | 19.1109i | −0.902699 | + | 0.642769i | ||||
\(885\) | −10.7165 | − | 3.00436i | −0.360231 | − | 0.100990i | ||||
\(886\) | −41.9345 | − | 27.1271i | −1.40882 | − | 0.911354i | ||||
\(887\) | −25.6515 | + | 3.37708i | −0.861292 | + | 0.113391i | −0.548216 | − | 0.836337i | \(-0.684693\pi\) |
−0.313076 | + | 0.949728i | \(0.601359\pi\) | |||||||
\(888\) | 16.4414 | − | 20.0471i | 0.551737 | − | 0.672736i | ||||
\(889\) | 2.95545 | + | 0.389093i | 0.0991227 | + | 0.0130498i | ||||
\(890\) | 5.07857 | − | 5.96760i | 0.170234 | − | 0.200034i | ||||
\(891\) | 4.69553 | − | 41.9071i | 0.157306 | − | 1.40394i | ||||
\(892\) | −10.4850 | − | 16.9747i | −0.351063 | − | 0.568356i | ||||
\(893\) | 1.62600 | + | 24.8079i | 0.0544120 | + | 0.830166i | ||||
\(894\) | 18.1301 | − | 37.0748i | 0.606363 | − | 1.23997i | ||||
\(895\) | −1.96292 | − | 3.39988i | −0.0656132 | − | 0.113645i | ||||
\(896\) | 9.40263 | + | 2.79233i | 0.314120 | + | 0.0932853i | ||||
\(897\) | −22.4684 | − | 68.7858i | −0.750197 | − | 2.29669i | ||||
\(898\) | 13.0988 | − | 51.9620i | 0.437113 | − | 1.73400i | ||||
\(899\) | −27.1849 | + | 18.1644i | −0.906668 | + | 0.605816i | ||||
\(900\) | 22.7831 | − | 17.7242i | 0.759436 | − | 0.590807i | ||||
\(901\) | 19.8757 | − | 3.95353i | 0.662157 | − | 0.131711i | ||||
\(902\) | 6.25070 | + | 17.5526i | 0.208126 | + | 0.584439i | ||||
\(903\) | 1.12790 | + | 6.03317i | 0.0375343 | + | 0.200771i | ||||
\(904\) | −42.5282 | + | 27.1501i | −1.41447 | + | 0.902999i | ||||
\(905\) | 6.19218 | − | 0.815216i | 0.205835 | − | 0.0270987i | ||||
\(906\) | −13.2711 | + | 3.60335i | −0.440902 | + | 0.119713i | ||||
\(907\) | 20.8024 | + | 42.1830i | 0.690731 | + | 1.40066i | 0.905647 | + | 0.424032i | \(0.139386\pi\) |
−0.214916 | + | 0.976633i | \(0.568948\pi\) | |||||||
\(908\) | −1.20823 | − | 0.551822i | −0.0400965 | − | 0.0183129i | ||||
\(909\) | −6.49905 | − | 4.56279i | −0.215560 | − | 0.151338i | ||||
\(910\) | 1.51587 | + | 1.91588i | 0.0502506 | + | 0.0635110i | ||||
\(911\) | 6.16554 | + | 23.0101i | 0.204273 | + | 0.762359i | 0.989670 | + | 0.143366i | \(0.0457925\pi\) |
−0.785396 | + | 0.618993i | \(0.787541\pi\) | |||||||
\(912\) | 3.62922 | + | 14.5615i | 0.120175 | + | 0.482179i | ||||
\(913\) | 12.2413 | − | 45.6852i | 0.405128 | − | 1.51196i | ||||
\(914\) | 3.42847 | − | 1.48018i | 0.113404 | − | 0.0489601i | ||||
\(915\) | −3.92325 | − | 5.23684i | −0.129699 | − | 0.173124i | ||||
\(916\) | −8.08448 | + | 1.85944i | −0.267119 | + | 0.0614377i | ||||
\(917\) | −8.47516 | − | 5.66292i | −0.279874 | − | 0.187006i | ||||
\(918\) | −2.93065 | − | 26.2552i | −0.0967260 | − | 0.866551i | ||||
\(919\) | −45.2201 | − | 18.7308i | −1.49167 | − | 0.617871i | −0.519993 | − | 0.854171i | \(-0.674065\pi\) |
−0.971680 | + | 0.236300i | \(0.924065\pi\) | |||||||
\(920\) | 1.23132 | + | 11.1455i | 0.0405953 | + | 0.367456i | ||||
\(921\) | −19.0094 | + | 53.9478i | −0.626382 | + | 1.77764i | ||||
\(922\) | −7.54871 | − | 10.9419i | −0.248604 | − | 0.360352i | ||||
\(923\) | −19.7717 | + | 17.3393i | −0.650793 | + | 0.570730i | ||||
\(924\) | 13.4048 | + | 4.28008i | 0.440987 | + | 0.140804i | ||||
\(925\) | 25.4063 | − | 1.66522i | 0.835355 | − | 0.0547521i | ||||
\(926\) | 22.9556 | − | 41.1608i | 0.754367 | − | 1.35263i | ||||
\(927\) | 12.8774 | + | 17.6086i | 0.422948 | + | 0.578342i | ||||
\(928\) | 19.3183 | − | 8.20296i | 0.634154 | − | 0.269275i | ||||
\(929\) | 48.1086 | + | 27.7755i | 1.57839 | + | 0.911285i | 0.995084 | + | 0.0990333i | \(0.0315750\pi\) |
0.583307 | + | 0.812252i | \(0.301758\pi\) | |||||||
\(930\) | −7.07756 | − | 6.16531i | −0.232082 | − | 0.202168i | ||||
\(931\) | −5.98612 | + | 12.1386i | −0.196187 | + | 0.397828i | ||||
\(932\) | −5.72991 | − | 7.02484i | −0.187689 | − | 0.230106i | ||||
\(933\) | −0.361696 | + | 31.3613i | −0.0118414 | + | 1.02672i | ||||
\(934\) | −12.5236 | − | 5.94627i | −0.409785 | − | 0.194568i | ||||
\(935\) | 6.76714 | − | 2.80304i | 0.221309 | − | 0.0916692i | ||||
\(936\) | −29.7784 | − | 25.0024i | −0.973338 | − | 0.817228i | ||||
\(937\) | −21.1483 | − | 8.75991i | −0.690885 | − | 0.286174i | 0.00948393 | − | 0.999955i | \(-0.496981\pi\) |
−0.700369 | + | 0.713781i | \(0.746981\pi\) | |||||||
\(938\) | 4.68066 | − | 4.22951i | 0.152829 | − | 0.138098i | ||||
\(939\) | 10.8079 | − | 38.5517i | 0.352703 | − | 1.25809i | ||||
\(940\) | 4.67891 | + | 8.81724i | 0.152609 | + | 0.287587i | ||||
\(941\) | 26.4633 | − | 8.98309i | 0.862680 | − | 0.292840i | 0.145185 | − | 0.989405i | \(-0.453622\pi\) |
0.717494 | + | 0.696564i | \(0.245289\pi\) | |||||||
\(942\) | 3.64157 | − | 3.21507i | 0.118649 | − | 0.104753i | ||||
\(943\) | −24.7630 | + | 6.63524i | −0.806395 | + | 0.216073i | ||||
\(944\) | −15.6414 | + | 57.0020i | −0.509083 | + | 1.85526i | ||||
\(945\) | −1.93331 | + | 0.315471i | −0.0628905 | + | 0.0102623i | ||||
\(946\) | 21.2400 | − | 16.8053i | 0.690572 | − | 0.546388i | ||||
\(947\) | −30.0981 | + | 34.3204i | −0.978058 | + | 1.11526i | 0.0152635 | + | 0.999884i | \(0.495141\pi\) |
−0.993322 | + | 0.115378i | \(0.963192\pi\) | |||||||
\(948\) | −40.8407 | − | 16.0530i | −1.32645 | − | 0.521376i | ||||
\(949\) | 24.9615 | + | 1.63606i | 0.810285 | + | 0.0531089i | ||||
\(950\) | −8.00455 | + | 12.3738i | −0.259702 | + | 0.401460i | ||||
\(951\) | −21.2843 | − | 1.64177i | −0.690192 | − | 0.0532379i | ||||
\(952\) | 8.78273 | + | 0.760007i | 0.284650 | + | 0.0246320i | ||||
\(953\) | −12.1299 | − | 29.2841i | −0.392924 | − | 0.948604i | −0.989300 | − | 0.145898i | \(-0.953393\pi\) |
0.596375 | − | 0.802706i | \(-0.296607\pi\) | |||||||
\(954\) | 10.4012 | + | 21.5352i | 0.336751 | + | 0.697227i | ||||
\(955\) | 7.17915 | − | 1.42802i | 0.232312 | − | 0.0462097i | ||||
\(956\) | −33.5563 | + | 35.6127i | −1.08529 | + | 1.15180i | ||||
\(957\) | 27.9487 | − | 11.2009i | 0.903454 | − | 0.362073i | ||||
\(958\) | 6.21758 | − | 6.40517i | 0.200881 | − | 0.206941i | ||||
\(959\) | −1.28932 | − | 2.23317i | −0.0416343 | − | 0.0721127i | ||||
\(960\) | 3.72591 | + | 4.73517i | 0.120253 | + | 0.152827i | ||||
\(961\) | 23.3287 | − | 40.4065i | 0.752538 | − | 1.30343i | ||||
\(962\) | −9.36791 | − | 32.9924i | −0.302033 | − | 1.06372i | ||||
\(963\) | 12.5812 | + | 15.0318i | 0.405424 | + | 0.484393i | ||||
\(964\) | 6.94773 | − | 29.3975i | 0.223771 | − | 0.946829i | ||||
\(965\) | 0.393247 | − | 1.15847i | 0.0126591 | − | 0.0372924i | ||||
\(966\) | −7.34968 | + | 17.9120i | −0.236472 | + | 0.576310i | ||||
\(967\) | −26.4538 | + | 34.4753i | −0.850698 | + | 1.10865i | 0.142218 | + | 0.989835i | \(0.454576\pi\) |
−0.992916 | + | 0.118816i | \(0.962090\pi\) | |||||||
\(968\) | −5.40885 | − | 30.5061i | −0.173847 | − | 0.980504i | ||||
\(969\) | 5.82557 | + | 12.1648i | 0.187144 | + | 0.390789i | ||||
\(970\) | −7.61293 | − | 0.385464i | −0.244436 | − | 0.0123765i | ||||
\(971\) | −9.39282 | + | 14.0574i | −0.301430 | + | 0.451122i | −0.951005 | − | 0.309176i | \(-0.899947\pi\) |
0.649575 | + | 0.760298i | \(0.274947\pi\) | |||||||
\(972\) | 29.1258 | − | 11.1215i | 0.934211 | − | 0.356721i | ||||
\(973\) | −14.1523 | − | 2.81507i | −0.453702 | − | 0.0902469i | ||||
\(974\) | 2.15241 | + | 14.6621i | 0.0689677 | + | 0.469804i | ||||
\(975\) | −2.05777 | − | 38.1284i | −0.0659013 | − | 1.22108i | ||||
\(976\) | −27.6970 | + | 20.9894i | −0.886560 | + | 0.671856i | ||||
\(977\) | −5.59216 | + | 20.8702i | −0.178909 | + | 0.667698i | 0.816944 | + | 0.576718i | \(0.195667\pi\) |
−0.995853 | + | 0.0909803i | \(0.971000\pi\) | |||||||
\(978\) | 5.40003 | + | 26.6834i | 0.172674 | + | 0.853242i | ||||
\(979\) | −44.8886 | − | 39.3662i | −1.43464 | − | 1.25815i | ||||
\(980\) | −0.194116 | + | 5.43061i | −0.00620080 | + | 0.173474i | ||||
\(981\) | −4.49698 | + | 8.61233i | −0.143577 | + | 0.274971i | ||||
\(982\) | 18.0180 | + | 5.81915i | 0.574976 | + | 0.185696i | ||||
\(983\) | −16.8070 | + | 12.8965i | −0.536061 | + | 0.411334i | −0.840998 | − | 0.541039i | \(-0.818031\pi\) |
0.304937 | + | 0.952373i | \(0.401365\pi\) | |||||||
\(984\) | −9.41352 | + | 10.0572i | −0.300092 | + | 0.320613i | ||||
\(985\) | 2.46173 | + | 1.88895i | 0.0784373 | + | 0.0601870i | ||||
\(986\) | 15.5266 | − | 10.7117i | 0.494468 | − | 0.341129i | ||||
\(987\) | −0.198760 | + | 17.2337i | −0.00632660 | + | 0.548555i | ||||
\(988\) | 18.5580 | + | 7.04848i | 0.590409 | + | 0.224242i | ||||
\(989\) | 20.7037 | + | 30.9852i | 0.658338 | + | 0.985273i | ||||
\(990\) | 5.20573 | + | 6.90075i | 0.165449 | + | 0.219320i | ||||
\(991\) | − | 11.9893i | − | 0.380852i | −0.981702 | − | 0.190426i | \(-0.939013\pi\) | ||
0.981702 | − | 0.190426i | \(-0.0609869\pi\) | |||||||
\(992\) | −32.5355 | + | 37.7688i | −1.03300 | + | 1.19916i | ||||
\(993\) | 34.2457 | − | 11.1861i | 1.08675 | − | 0.354980i | ||||
\(994\) | 7.03545 | − | 0.104556i | 0.223151 | − | 0.00331630i | ||||
\(995\) | 0.150120 | − | 0.304414i | 0.00475914 | − | 0.00965058i | ||||
\(996\) | 34.1661 | − | 7.44447i | 1.08260 | − | 0.235887i | ||||
\(997\) | −55.4109 | − | 18.8095i | −1.75488 | − | 0.595701i | −0.756575 | − | 0.653907i | \(-0.773129\pi\) |
−0.998305 | + | 0.0582053i | \(0.981462\pi\) | |||||||
\(998\) | −8.16627 | + | 0.657247i | −0.258499 | + | 0.0208048i | ||||
\(999\) | 26.7695 | + | 6.29467i | 0.846950 | + | 0.199155i |
(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 | 576.2.bm.a.205.55 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.74 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.74 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.55 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.74 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.74 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.55 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.55 | yes | 1504 | 576.517 | even | 48 | inner |