Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Character | \(\chi\) | \(=\) | 76.59 |
Dual form | 76.2.k.a.67.1 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39408 | + | 0.237768i | −0.985765 | + | 0.168127i | ||||
\(3\) | 1.98545 | + | 1.66599i | 1.14630 | + | 0.961861i | 0.999627 | − | 0.0273235i | \(-0.00869844\pi\) |
0.146675 | + | 0.989185i | \(0.453143\pi\) | |||||||
\(4\) | 1.88693 | − | 0.662936i | 0.943466 | − | 0.331468i | ||||
\(5\) | −2.53027 | + | 0.920944i | −1.13157 | + | 0.411859i | −0.838863 | − | 0.544342i | \(-0.816779\pi\) |
−0.292710 | + | 0.956201i | \(0.594557\pi\) | |||||||
\(6\) | −3.16400 | − | 1.85045i | −1.29170 | − | 0.755445i | ||||
\(7\) | 1.43753 | − | 0.829960i | 0.543336 | − | 0.313695i | −0.203094 | − | 0.979159i | \(-0.565100\pi\) |
0.746430 | + | 0.665464i | \(0.231766\pi\) | |||||||
\(8\) | −2.47292 | + | 1.37284i | −0.874308 | + | 0.485372i | ||||
\(9\) | 0.645546 | + | 3.66107i | 0.215182 | + | 1.22036i | ||||
\(10\) | 3.30844 | − | 1.88549i | 1.04622 | − | 0.596245i | ||||
\(11\) | 2.94034 | + | 1.69761i | 0.886546 | + | 0.511848i | 0.872811 | − | 0.488058i | \(-0.162295\pi\) |
0.0137349 | + | 0.999906i | \(0.495628\pi\) | |||||||
\(12\) | 4.85086 | + | 1.82739i | 1.40032 | + | 0.527521i | ||||
\(13\) | −2.17565 | − | 2.59283i | −0.603416 | − | 0.719123i | 0.374709 | − | 0.927143i | \(-0.377743\pi\) |
−0.978125 | + | 0.208020i | \(0.933298\pi\) | |||||||
\(14\) | −1.80670 | + | 1.49883i | −0.482861 | + | 0.400580i | ||||
\(15\) | −6.55803 | − | 2.38693i | −1.69328 | − | 0.616302i | ||||
\(16\) | 3.12103 | − | 2.50183i | 0.780258 | − | 0.625458i | ||||
\(17\) | 1.03855 | − | 5.88992i | 0.251886 | − | 1.42852i | −0.552055 | − | 0.833808i | \(-0.686156\pi\) |
0.803941 | − | 0.594709i | \(-0.202733\pi\) | |||||||
\(18\) | −1.77043 | − | 4.95035i | −0.417295 | − | 1.16681i | ||||
\(19\) | −4.28990 | + | 0.772510i | −0.984170 | + | 0.177226i | ||||
\(20\) | −4.16393 | + | 3.41517i | −0.931083 | + | 0.763655i | ||||
\(21\) | 4.23686 | + | 0.747073i | 0.924559 | + | 0.163025i | ||||
\(22\) | −4.50271 | − | 1.66749i | −0.959982 | − | 0.355509i | ||||
\(23\) | 2.01148 | − | 5.52649i | 0.419422 | − | 1.15235i | −0.532611 | − | 0.846360i | \(-0.678789\pi\) |
0.952034 | − | 0.305993i | \(-0.0989885\pi\) | |||||||
\(24\) | −7.19700 | − | 1.39415i | −1.46908 | − | 0.284580i | ||||
\(25\) | 1.72393 | − | 1.44655i | 0.344785 | − | 0.289309i | ||||
\(26\) | 3.64952 | + | 3.09733i | 0.715731 | + | 0.607436i | ||||
\(27\) | −0.929885 | + | 1.61061i | −0.178957 | + | 0.309962i | ||||
\(28\) | 2.16232 | − | 2.51907i | 0.408640 | − | 0.476060i | ||||
\(29\) | −2.92975 | + | 0.516594i | −0.544040 | + | 0.0959290i | −0.438913 | − | 0.898530i | \(-0.644636\pi\) |
−0.105128 | + | 0.994459i | \(0.533525\pi\) | |||||||
\(30\) | 9.70996 | + | 1.76828i | 1.77279 | + | 0.322843i | ||||
\(31\) | 2.91510 | + | 5.04911i | 0.523568 | + | 0.906846i | 0.999624 | + | 0.0274312i | \(0.00873273\pi\) |
−0.476056 | + | 0.879415i | \(0.657934\pi\) | |||||||
\(32\) | −3.75612 | + | 4.22984i | −0.663994 | + | 0.747737i | ||||
\(33\) | 3.00971 | + | 8.26910i | 0.523923 | + | 1.43947i | ||||
\(34\) | −0.0473932 | + | 8.45798i | −0.00812787 | + | 1.45053i | ||||
\(35\) | −2.87301 | + | 3.42391i | −0.485627 | + | 0.578747i | ||||
\(36\) | 3.64516 | + | 6.48025i | 0.607527 | + | 1.08004i | ||||
\(37\) | − | 0.798908i | − | 0.131340i | −0.997841 | − | 0.0656699i | \(-0.979082\pi\) | ||
0.997841 | − | 0.0656699i | \(-0.0209184\pi\) | |||||||
\(38\) | 5.79679 | − | 2.09694i | 0.940364 | − | 0.340169i | ||||
\(39\) | − | 8.77256i | − | 1.40473i | ||||||
\(40\) | 4.99284 | − | 5.75108i | 0.789438 | − | 0.909325i | ||||
\(41\) | 0.904276 | − | 1.07767i | 0.141224 | − | 0.168304i | −0.690796 | − | 0.723050i | \(-0.742740\pi\) |
0.832020 | + | 0.554745i | \(0.187184\pi\) | |||||||
\(42\) | −6.08416 | − | 0.0340918i | −0.938807 | − | 0.00526049i | ||||
\(43\) | 0.235045 | + | 0.645782i | 0.0358441 | + | 0.0984808i | 0.956324 | − | 0.292310i | \(-0.0944239\pi\) |
−0.920480 | + | 0.390791i | \(0.872202\pi\) | |||||||
\(44\) | 6.67363 | + | 1.25401i | 1.00609 | + | 0.189049i | ||||
\(45\) | −5.00506 | − | 8.66901i | −0.746110 | − | 1.29230i | ||||
\(46\) | −1.49014 | + | 8.18265i | −0.219710 | + | 1.20647i | ||||
\(47\) | −6.47756 | + | 1.14217i | −0.944849 | + | 0.166602i | −0.624788 | − | 0.780794i | \(-0.714815\pi\) |
−0.320061 | + | 0.947397i | \(0.603704\pi\) | |||||||
\(48\) | 10.3647 | + | 0.232345i | 1.49601 | + | 0.0335362i | ||||
\(49\) | −2.12233 | + | 3.67599i | −0.303190 | + | 0.525141i | ||||
\(50\) | −2.05935 | + | 2.42650i | −0.291237 | + | 0.343159i | ||||
\(51\) | 11.8746 | − | 9.96394i | 1.66277 | − | 1.39523i | ||||
\(52\) | −5.82418 | − | 3.45019i | −0.807669 | − | 0.478455i | ||||
\(53\) | −2.91069 | + | 7.99704i | −0.399813 | + | 1.09848i | 0.562562 | + | 0.826755i | \(0.309816\pi\) |
−0.962375 | + | 0.271723i | \(0.912406\pi\) | |||||||
\(54\) | 0.913386 | − | 2.46642i | 0.124296 | − | 0.335637i | ||||
\(55\) | −9.00327 | − | 1.58752i | −1.21400 | − | 0.214061i | ||||
\(56\) | −2.41550 | + | 4.02592i | −0.322784 | + | 0.537987i | ||||
\(57\) | −9.80439 | − | 5.61316i | −1.29862 | − | 0.743481i | ||||
\(58\) | 3.96148 | − | 1.41677i | 0.520168 | − | 0.186032i | ||||
\(59\) | −0.838664 | + | 4.75630i | −0.109185 | + | 0.619218i | 0.880281 | + | 0.474452i | \(0.157354\pi\) |
−0.989466 | + | 0.144765i | \(0.953757\pi\) | |||||||
\(60\) | −13.9569 | − | 0.156417i | −1.80183 | − | 0.0201933i | ||||
\(61\) | 3.56100 | + | 1.29610i | 0.455939 | + | 0.165948i | 0.559772 | − | 0.828647i | \(-0.310889\pi\) |
−0.103833 | + | 0.994595i | \(0.533111\pi\) | |||||||
\(62\) | −5.26441 | − | 6.34575i | −0.668581 | − | 0.805912i | ||||
\(63\) | 3.96654 | + | 4.72714i | 0.499737 | + | 0.595563i | ||||
\(64\) | 4.23062 | − | 6.78983i | 0.528828 | − | 0.848729i | ||||
\(65\) | 7.89284 | + | 4.55693i | 0.978986 | + | 0.565218i | ||||
\(66\) | −6.16191 | − | 10.8122i | −0.758478 | − | 1.33089i | ||||
\(67\) | 1.76401 | + | 10.0042i | 0.215509 | + | 1.22221i | 0.880022 | + | 0.474934i | \(0.157528\pi\) |
−0.664513 | + | 0.747277i | \(0.731361\pi\) | |||||||
\(68\) | −1.94497 | − | 11.8024i | −0.235862 | − | 1.43125i | ||||
\(69\) | 13.2008 | − | 7.62148i | 1.58919 | − | 0.917518i | ||||
\(70\) | 3.19111 | − | 5.45633i | 0.381411 | − | 0.652156i | ||||
\(71\) | −2.34943 | + | 0.855121i | −0.278825 | + | 0.101484i | −0.477648 | − | 0.878551i | \(-0.658511\pi\) |
0.198822 | + | 0.980036i | \(0.436288\pi\) | |||||||
\(72\) | −6.62245 | − | 8.16730i | −0.780463 | − | 0.962525i | ||||
\(73\) | −8.03196 | − | 6.73961i | −0.940069 | − | 0.788812i | 0.0375281 | − | 0.999296i | \(-0.488052\pi\) |
−0.977597 | + | 0.210484i | \(0.932496\pi\) | |||||||
\(74\) | 0.189955 | + | 1.11374i | 0.0220818 | + | 0.129470i | ||||
\(75\) | 5.83271 | 0.673503 | ||||||||
\(76\) | −7.58263 | + | 4.30160i | −0.869787 | + | 0.493428i | ||||
\(77\) | 5.63578 | 0.642257 | ||||||||
\(78\) | 2.08583 | + | 12.2297i | 0.236174 | + | 1.38474i | ||||
\(79\) | 6.98750 | + | 5.86321i | 0.786156 | + | 0.659663i | 0.944791 | − | 0.327674i | \(-0.106265\pi\) |
−0.158635 | + | 0.987337i | \(0.550709\pi\) | |||||||
\(80\) | −5.59302 | + | 9.20462i | −0.625318 | + | 1.02911i | ||||
\(81\) | 5.95057 | − | 2.16583i | 0.661174 | − | 0.240648i | ||||
\(82\) | −1.00440 | + | 1.71737i | −0.110917 | + | 0.189652i | ||||
\(83\) | 6.78922 | − | 3.91976i | 0.745213 | − | 0.430249i | −0.0787485 | − | 0.996895i | \(-0.525092\pi\) |
0.823962 | + | 0.566645i | \(0.191759\pi\) | |||||||
\(84\) | 8.48993 | − | 1.39909i | 0.926328 | − | 0.152653i | ||||
\(85\) | 2.79647 | + | 15.8596i | 0.303320 | + | 1.72021i | ||||
\(86\) | −0.481219 | − | 0.844387i | −0.0518911 | − | 0.0910526i | ||||
\(87\) | −6.67752 | − | 3.85527i | −0.715905 | − | 0.413328i | ||||
\(88\) | −9.60176 | − | 0.161420i | −1.02355 | − | 0.0172075i | ||||
\(89\) | −7.99275 | − | 9.52539i | −0.847230 | − | 1.00969i | −0.999771 | − | 0.0213925i | \(-0.993190\pi\) |
0.152541 | − | 0.988297i | \(-0.451254\pi\) | |||||||
\(90\) | 9.03867 | + | 10.8953i | 0.952760 | + | 1.14846i | ||||
\(91\) | −5.27951 | − | 1.92159i | −0.553443 | − | 0.201437i | ||||
\(92\) | 0.131813 | − | 11.7616i | 0.0137425 | − | 1.22623i | ||||
\(93\) | −2.62398 | + | 14.8813i | −0.272094 | + | 1.54312i | ||||
\(94\) | 8.75868 | − | 3.13243i | 0.903389 | − | 0.323086i | ||||
\(95\) | 10.1432 | − | 5.90542i | 1.04067 | − | 0.605883i | ||||
\(96\) | −14.5045 | + | 2.14048i | −1.48036 | + | 0.218462i | ||||
\(97\) | −8.40551 | − | 1.48212i | −0.853451 | − | 0.150486i | −0.270226 | − | 0.962797i | \(-0.587098\pi\) |
−0.583225 | + | 0.812311i | \(0.698209\pi\) | |||||||
\(98\) | 2.08468 | − | 5.62925i | 0.210584 | − | 0.568640i | ||||
\(99\) | −4.31694 | + | 11.8607i | −0.433869 | + | 1.19204i | ||||
\(100\) | 2.29397 | − | 3.87239i | 0.229397 | − | 0.387239i | ||||
\(101\) | −0.0868957 | + | 0.0729142i | −0.00864645 | + | 0.00725523i | −0.647101 | − | 0.762405i | \(-0.724019\pi\) |
0.638454 | + | 0.769660i | \(0.279574\pi\) | |||||||
\(102\) | −14.1850 | + | 16.7140i | −1.40453 | + | 1.65493i | ||||
\(103\) | 3.35278 | − | 5.80718i | 0.330359 | − | 0.572199i | −0.652223 | − | 0.758027i | \(-0.726163\pi\) |
0.982582 | + | 0.185828i | \(0.0594968\pi\) | |||||||
\(104\) | 8.93974 | + | 3.42505i | 0.876613 | + | 0.335853i | ||||
\(105\) | −11.4084 | + | 2.01161i | −1.11335 | + | 0.196313i | ||||
\(106\) | 2.15630 | − | 11.8406i | 0.209438 | − | 1.15006i | ||||
\(107\) | −2.83864 | − | 4.91666i | −0.274421 | − | 0.475312i | 0.695568 | − | 0.718461i | \(-0.255153\pi\) |
−0.969989 | + | 0.243149i | \(0.921820\pi\) | |||||||
\(108\) | −0.686900 | + | 3.65556i | −0.0660970 | + | 0.351757i | ||||
\(109\) | −2.68819 | − | 7.38575i | −0.257482 | − | 0.707427i | −0.999321 | − | 0.0368484i | \(-0.988268\pi\) |
0.741839 | − | 0.670579i | \(-0.233954\pi\) | |||||||
\(110\) | 12.9288 | + | 0.0724447i | 1.23271 | + | 0.00690733i | ||||
\(111\) | 1.33098 | − | 1.58619i | 0.126331 | − | 0.150555i | ||||
\(112\) | 2.41016 | − | 6.18680i | 0.227739 | − | 0.584597i | ||||
\(113\) | 9.61911i | 0.904890i | 0.891792 | + | 0.452445i | \(0.149448\pi\) | ||||
−0.891792 | + | 0.452445i | \(0.850552\pi\) | |||||||
\(114\) | 15.0028 | + | 5.49404i | 1.40514 | + | 0.514564i | ||||
\(115\) | 15.8360i | 1.47671i | ||||||||
\(116\) | −5.18577 | + | 2.91701i | −0.481487 | + | 0.270838i | ||||
\(117\) | 8.08808 | − | 9.63900i | 0.747743 | − | 0.891126i | ||||
\(118\) | 0.0382715 | − | 6.83009i | 0.00352318 | − | 0.628760i | ||||
\(119\) | −3.39545 | − | 9.32892i | −0.311260 | − | 0.855180i | ||||
\(120\) | 19.4943 | − | 3.10045i | 1.77958 | − | 0.283031i | ||||
\(121\) | 0.263736 | + | 0.456803i | 0.0239760 | + | 0.0415276i | ||||
\(122\) | −5.27249 | − | 0.960175i | −0.477349 | − | 0.0869302i | ||||
\(123\) | 3.59079 | − | 0.633154i | 0.323771 | − | 0.0570896i | ||||
\(124\) | 8.84784 | + | 7.59480i | 0.794559 | + | 0.682033i | ||||
\(125\) | 3.70184 | − | 6.41177i | 0.331102 | − | 0.573486i | ||||
\(126\) | −6.65365 | − | 5.64691i | −0.592754 | − | 0.503066i | ||||
\(127\) | −6.20191 | + | 5.20402i | −0.550331 | + | 0.461782i | −0.875053 | − | 0.484027i | \(-0.839174\pi\) |
0.324722 | + | 0.945809i | \(0.394729\pi\) | |||||||
\(128\) | −4.28343 | + | 10.4715i | −0.378605 | + | 0.925558i | ||||
\(129\) | −0.609196 | + | 1.67375i | −0.0536367 | + | 0.147366i | ||||
\(130\) | −12.0868 | − | 4.47608i | −1.06008 | − | 0.392578i | ||||
\(131\) | 5.31618 | + | 0.937385i | 0.464476 | + | 0.0818997i | 0.400989 | − | 0.916083i | \(-0.368667\pi\) |
0.0634875 | + | 0.997983i | \(0.479778\pi\) | |||||||
\(132\) | 11.1610 | + | 13.6080i | 0.971441 | + | 1.18442i | ||||
\(133\) | −5.52572 | + | 4.67095i | −0.479141 | + | 0.405023i | ||||
\(134\) | −4.83787 | − | 13.5273i | −0.417928 | − | 1.16858i | ||||
\(135\) | 0.869584 | − | 4.93165i | 0.0748418 | − | 0.424449i | ||||
\(136\) | 5.51767 | + | 15.9911i | 0.473136 | + | 1.37122i | ||||
\(137\) | 10.8411 | + | 3.94583i | 0.926216 | + | 0.337115i | 0.760709 | − | 0.649093i | \(-0.224852\pi\) |
0.165507 | + | 0.986209i | \(0.447074\pi\) | |||||||
\(138\) | −16.5908 | + | 13.7637i | −1.41231 | + | 1.17164i | ||||
\(139\) | −3.12723 | − | 3.72688i | −0.265248 | − | 0.316110i | 0.616938 | − | 0.787012i | \(-0.288373\pi\) |
−0.882186 | + | 0.470902i | \(0.843929\pi\) | |||||||
\(140\) | −3.15133 | + | 8.36532i | −0.266336 | + | 0.706998i | ||||
\(141\) | −14.7637 | − | 8.52385i | −1.24333 | − | 0.717837i | ||||
\(142\) | 3.07197 | − | 1.75073i | 0.257794 | − | 0.146918i | ||||
\(143\) | −1.99553 | − | 11.3172i | −0.166875 | − | 0.946393i | ||||
\(144\) | 11.1742 | + | 9.81128i | 0.931180 | + | 0.817607i | ||||
\(145\) | 6.93731 | − | 4.00526i | 0.576112 | − | 0.332619i | ||||
\(146\) | 12.7997 | + | 7.48583i | 1.05931 | + | 0.619532i | ||||
\(147\) | −10.3380 | + | 3.76271i | −0.852660 | + | 0.310343i | ||||
\(148\) | −0.529625 | − | 1.50749i | −0.0435349 | − | 0.123915i | ||||
\(149\) | 14.3556 | + | 12.0458i | 1.17606 | + | 0.986831i | 0.999997 | + | 0.00245146i | \(0.000780324\pi\) |
0.176062 | + | 0.984379i | \(0.443664\pi\) | |||||||
\(150\) | −8.13128 | + | 1.38683i | −0.663916 | + | 0.113234i | ||||
\(151\) | −6.11110 | −0.497314 | −0.248657 | − | 0.968592i | \(-0.579989\pi\) | ||||
−0.248657 | + | 0.968592i | \(0.579989\pi\) | |||||||
\(152\) | 9.54802 | − | 7.79970i | 0.774447 | − | 0.632639i | ||||
\(153\) | 22.2339 | 1.79750 | ||||||||
\(154\) | −7.85675 | + | 1.34001i | −0.633115 | + | 0.107981i | ||||
\(155\) | −12.0260 | − | 10.0910i | −0.965948 | − | 0.810527i | ||||
\(156\) | −5.81565 | − | 16.5532i | −0.465624 | − | 1.32532i | ||||
\(157\) | 3.67562 | − | 1.33782i | 0.293347 | − | 0.106769i | −0.191155 | − | 0.981560i | \(-0.561223\pi\) |
0.484501 | + | 0.874790i | \(0.339001\pi\) | |||||||
\(158\) | −11.1352 | − | 6.51240i | −0.885872 | − | 0.518099i | ||||
\(159\) | −19.1020 | + | 11.0286i | −1.51489 | + | 0.874622i | ||||
\(160\) | 5.60856 | − | 14.1618i | 0.443396 | − | 1.11959i | ||||
\(161\) | −1.69520 | − | 9.61396i | −0.133601 | − | 0.757686i | ||||
\(162\) | −7.78062 | + | 4.43420i | −0.611303 | + | 0.348383i | ||||
\(163\) | −3.89527 | − | 2.24893i | −0.305101 | − | 0.176150i | 0.339631 | − | 0.940559i | \(-0.389698\pi\) |
−0.644732 | + | 0.764409i | \(0.723031\pi\) | |||||||
\(164\) | 0.991879 | − | 2.63298i | 0.0774527 | − | 0.205601i | ||||
\(165\) | −15.2308 | − | 18.1513i | −1.18571 | − | 1.41308i | ||||
\(166\) | −8.53274 | + | 7.07872i | −0.662269 | + | 0.549415i | ||||
\(167\) | 14.9157 | + | 5.42887i | 1.15421 | + | 0.420099i | 0.847026 | − | 0.531551i | \(-0.178391\pi\) |
0.307185 | + | 0.951650i | \(0.400613\pi\) | |||||||
\(168\) | −11.5030 | + | 3.96908i | −0.887476 | + | 0.306221i | ||||
\(169\) | 0.268073 | − | 1.52032i | 0.0206210 | − | 0.116948i | ||||
\(170\) | −7.66941 | − | 21.4446i | −0.588217 | − | 1.64473i | ||||
\(171\) | −5.59754 | − | 15.2069i | −0.428055 | − | 1.16290i | ||||
\(172\) | 0.871627 | + | 1.06273i | 0.0664609 | + | 0.0810321i | ||||
\(173\) | −4.51044 | − | 0.795312i | −0.342922 | − | 0.0604664i | −0.000465084 | − | 1.00000i | \(-0.500148\pi\) |
−0.342457 | + | 0.939533i | \(0.611259\pi\) | |||||||
\(174\) | 10.2257 | + | 3.78686i | 0.775206 | + | 0.287081i | ||||
\(175\) | 1.27763 | − | 3.51025i | 0.0965794 | − | 0.265350i | ||||
\(176\) | 13.4240 | − | 2.05796i | 1.01187 | − | 0.155124i | ||||
\(177\) | −9.58909 | + | 8.04620i | −0.720760 | + | 0.604790i | ||||
\(178\) | 13.4074 | + | 11.3788i | 1.00493 | + | 0.852875i | ||||
\(179\) | 3.50718 | − | 6.07462i | 0.262139 | − | 0.454039i | −0.704671 | − | 0.709534i | \(-0.748905\pi\) |
0.966810 | + | 0.255496i | \(0.0822387\pi\) | |||||||
\(180\) | −15.1912 | − | 13.0398i | −1.13229 | − | 0.971930i | ||||
\(181\) | 2.24482 | − | 0.395823i | 0.166856 | − | 0.0294213i | −0.0895957 | − | 0.995978i | \(-0.528558\pi\) |
0.256452 | + | 0.966557i | \(0.417446\pi\) | |||||||
\(182\) | 7.81697 | + | 1.42355i | 0.579432 | + | 0.105521i | ||||
\(183\) | 4.91090 | + | 8.50593i | 0.363024 | + | 0.628776i | ||||
\(184\) | 2.61277 | + | 16.4280i | 0.192616 | + | 1.21109i | ||||
\(185\) | 0.735750 | + | 2.02146i | 0.0540934 | + | 0.148620i | ||||
\(186\) | 0.119742 | − | 21.3697i | 0.00877992 | − | 1.56690i | ||||
\(187\) | 13.0525 | − | 15.5553i | 0.954491 | − | 1.13752i | ||||
\(188\) | −11.4655 | + | 6.44941i | −0.836210 | + | 0.470371i | ||||
\(189\) | 3.08707i | 0.224551i | ||||||||
\(190\) | −12.7363 | + | 10.6444i | −0.923989 | + | 0.772223i | ||||
\(191\) | 23.8531i | 1.72595i | 0.505245 | + | 0.862976i | \(0.331402\pi\) | ||||
−0.505245 | + | 0.862976i | \(0.668598\pi\) | |||||||
\(192\) | 19.7115 | − | 6.43271i | 1.42256 | − | 0.464241i | ||||
\(193\) | 10.3925 | − | 12.3853i | 0.748066 | − | 0.891511i | −0.248965 | − | 0.968513i | \(-0.580090\pi\) |
0.997031 | + | 0.0770018i | \(0.0245347\pi\) | |||||||
\(194\) | 12.0704 | + | 0.0676349i | 0.866603 | + | 0.00485590i | ||||
\(195\) | 8.07904 | + | 22.1970i | 0.578552 | + | 1.58956i | ||||
\(196\) | −1.56775 | + | 8.34331i | −0.111982 | + | 0.595951i | ||||
\(197\) | −1.59411 | − | 2.76108i | −0.113576 | − | 0.196719i | 0.803634 | − | 0.595124i | \(-0.202897\pi\) |
−0.917209 | + | 0.398405i | \(0.869564\pi\) | |||||||
\(198\) | 3.19808 | − | 17.5612i | 0.227277 | − | 1.24802i | ||||
\(199\) | −11.2456 | + | 1.98291i | −0.797183 | + | 0.140565i | −0.557381 | − | 0.830257i | \(-0.688194\pi\) |
−0.239802 | + | 0.970822i | \(0.577083\pi\) | |||||||
\(200\) | −2.27725 | + | 5.94386i | −0.161026 | + | 0.420294i | ||||
\(201\) | −13.1646 | + | 22.8018i | −0.928559 | + | 1.60831i | ||||
\(202\) | 0.103803 | − | 0.122309i | 0.00730356 | − | 0.00860566i | ||||
\(203\) | −3.78286 | + | 3.17419i | −0.265505 | + | 0.222785i | ||||
\(204\) | 15.8011 | − | 26.6734i | 1.10629 | − | 1.86751i | ||||
\(205\) | −1.29559 | + | 3.55960i | −0.0904878 | + | 0.248613i | ||||
\(206\) | −3.29329 | + | 8.89288i | −0.229454 | + | 0.619596i | ||||
\(207\) | 21.5314 | + | 3.79657i | 1.49654 | + | 0.263880i | ||||
\(208\) | −13.2771 | − | 2.64922i | −0.920601 | − | 0.183690i | ||||
\(209\) | −13.9252 | − | 5.01112i | −0.963225 | − | 0.346626i | ||||
\(210\) | 15.4260 | − | 5.51692i | 1.06450 | − | 0.380703i | ||||
\(211\) | 0.664785 | − | 3.77018i | 0.0457657 | − | 0.259550i | −0.953337 | − | 0.301909i | \(-0.902376\pi\) |
0.999102 | + | 0.0423589i | \(0.0134873\pi\) | |||||||
\(212\) | −0.190739 | + | 17.0195i | −0.0131000 | + | 1.16890i | ||||
\(213\) | −6.08930 | − | 2.21632i | −0.417232 | − | 0.151860i | ||||
\(214\) | 5.12632 | + | 6.17930i | 0.350428 | + | 0.422408i | ||||
\(215\) | −1.18946 | − | 1.41754i | −0.0811204 | − | 0.0966755i | ||||
\(216\) | 0.0884199 | − | 5.25948i | 0.00601621 | − | 0.357862i | ||||
\(217\) | 8.38111 | + | 4.83884i | 0.568947 | + | 0.328482i | ||||
\(218\) | 5.50366 | + | 9.65719i | 0.372755 | + | 0.654067i | ||||
\(219\) | −4.71893 | − | 26.7624i | −0.318875 | − | 1.80843i | ||||
\(220\) | −18.0410 | + | 2.97305i | −1.21632 | + | 0.200443i | ||||
\(221\) | −17.5311 | + | 10.1216i | −1.17927 | + | 0.680852i | ||||
\(222\) | −1.47834 | + | 2.52775i | −0.0992199 | + | 0.169651i | ||||
\(223\) | 22.3608 | − | 8.13865i | 1.49739 | − | 0.545004i | 0.542004 | − | 0.840376i | \(-0.317666\pi\) |
0.955382 | + | 0.295372i | \(0.0954435\pi\) | |||||||
\(224\) | −1.88895 | + | 9.19797i | −0.126211 | + | 0.614565i | ||||
\(225\) | 6.40879 | + | 5.37761i | 0.427253 | + | 0.358507i | ||||
\(226\) | −2.28712 | − | 13.4098i | −0.152137 | − | 0.892009i | ||||
\(227\) | −21.4255 | −1.42206 | −0.711031 | − | 0.703161i | \(-0.751771\pi\) | ||||
−0.711031 | + | 0.703161i | \(0.751771\pi\) | |||||||
\(228\) | −22.2214 | − | 4.09197i | −1.47165 | − | 0.270997i | ||||
\(229\) | −17.6065 | −1.16347 | −0.581735 | − | 0.813378i | \(-0.697626\pi\) | ||||
−0.581735 | + | 0.813378i | \(0.697626\pi\) | |||||||
\(230\) | −3.76529 | − | 22.0767i | −0.248276 | − | 1.45569i | ||||
\(231\) | 11.1896 | + | 9.38917i | 0.736220 | + | 0.617762i | ||||
\(232\) | 6.53582 | − | 5.29957i | 0.429097 | − | 0.347934i | ||||
\(233\) | 10.9408 | − | 3.98214i | 0.716758 | − | 0.260879i | 0.0422092 | − | 0.999109i | \(-0.486560\pi\) |
0.674549 | + | 0.738230i | \(0.264338\pi\) | |||||||
\(234\) | −8.98361 | + | 15.3606i | −0.587277 | + | 1.00416i | ||||
\(235\) | 15.3381 | − | 8.85547i | 1.00055 | − | 0.577667i | ||||
\(236\) | 1.57062 | + | 9.53080i | 0.102239 | + | 0.620402i | ||||
\(237\) | 4.10529 | + | 23.2823i | 0.266667 | + | 1.51235i | ||||
\(238\) | 6.95165 | + | 12.1980i | 0.450609 | + | 0.790676i | ||||
\(239\) | 15.1464 | + | 8.74479i | 0.979741 | + | 0.565654i | 0.902192 | − | 0.431335i | \(-0.141957\pi\) |
0.0775489 | + | 0.996989i | \(0.475291\pi\) | |||||||
\(240\) | −26.4395 | + | 8.95741i | −1.70666 | + | 0.578198i | ||||
\(241\) | 17.4817 | + | 20.8339i | 1.12610 | + | 1.34203i | 0.932593 | + | 0.360930i | \(0.117541\pi\) |
0.193504 | + | 0.981100i | \(0.438015\pi\) | |||||||
\(242\) | −0.476282 | − | 0.574114i | −0.0306166 | − | 0.0369054i | ||||
\(243\) | 20.6657 | + | 7.52168i | 1.32570 | + | 0.482516i | ||||
\(244\) | 7.57859 | + | 0.0849340i | 0.485169 | + | 0.00543734i | ||||
\(245\) | 1.98470 | − | 11.2558i | 0.126798 | − | 0.719107i | ||||
\(246\) | −4.85532 | + | 1.73644i | −0.309564 | + | 0.110712i | ||||
\(247\) | 11.3363 | + | 9.44229i | 0.721311 | + | 0.600798i | ||||
\(248\) | −14.1404 | − | 8.48404i | −0.897918 | − | 0.538737i | ||||
\(249\) | 20.0099 | + | 3.52829i | 1.26808 | + | 0.223597i | ||||
\(250\) | −3.63615 | + | 9.81871i | −0.229970 | + | 0.620990i | ||||
\(251\) | −7.93890 | + | 21.8120i | −0.501099 | + | 1.37676i | 0.389103 | + | 0.921194i | \(0.372785\pi\) |
−0.890203 | + | 0.455565i | \(0.849437\pi\) | |||||||
\(252\) | 10.6184 | + | 6.29023i | 0.668895 | + | 0.396247i | ||||
\(253\) | 15.2962 | − | 12.8351i | 0.961666 | − | 0.806934i | ||||
\(254\) | 7.40863 | − | 8.72945i | 0.464859 | − | 0.547734i | ||||
\(255\) | −20.8697 | + | 36.1473i | −1.30691 | + | 2.26363i | ||||
\(256\) | 3.48167 | − | 15.6166i | 0.217604 | − | 0.976037i | ||||
\(257\) | −8.80240 | + | 1.55210i | −0.549079 | + | 0.0968174i | −0.441303 | − | 0.897358i | \(-0.645484\pi\) |
−0.107775 | + | 0.994175i | \(0.534373\pi\) | |||||||
\(258\) | 0.451305 | − | 2.47820i | 0.0280970 | − | 0.154286i | ||||
\(259\) | −0.663062 | − | 1.14846i | −0.0412007 | − | 0.0713617i | ||||
\(260\) | 17.9142 | + | 3.36618i | 1.11099 | + | 0.208761i | ||||
\(261\) | −3.78258 | − | 10.3925i | −0.234136 | − | 0.643282i | ||||
\(262\) | −7.63407 | − | 0.0427765i | −0.471634 | − | 0.00264274i | ||||
\(263\) | 0.382797 | − | 0.456200i | 0.0236043 | − | 0.0281305i | −0.754113 | − | 0.656744i | \(-0.771933\pi\) |
0.777717 | + | 0.628614i | \(0.216377\pi\) | |||||||
\(264\) | −18.7949 | − | 16.3169i | −1.15675 | − | 1.00424i | ||||
\(265\) | − | 22.9153i | − | 1.40768i | ||||||
\(266\) | 6.59271 | − | 7.82553i | 0.404225 | − | 0.479814i | ||||
\(267\) | − | 32.2281i | − | 1.97233i | ||||||
\(268\) | 9.96074 | + | 17.7079i | 0.608449 | + | 1.08168i | ||||
\(269\) | 6.62803 | − | 7.89898i | 0.404118 | − | 0.481609i | −0.525153 | − | 0.851008i | \(-0.675992\pi\) |
0.929271 | + | 0.369399i | \(0.120436\pi\) | |||||||
\(270\) | −0.0396825 | + | 7.08189i | −0.00241500 | + | 0.430990i | ||||
\(271\) | −4.03735 | − | 11.0925i | −0.245252 | − | 0.673823i | −0.999845 | − | 0.0176301i | \(-0.994388\pi\) |
0.754593 | − | 0.656193i | \(-0.227834\pi\) | |||||||
\(272\) | −11.4942 | − | 20.9809i | −0.696941 | − | 1.27216i | ||||
\(273\) | −7.28088 | − | 12.6108i | −0.440659 | − | 0.763243i | ||||
\(274\) | −16.0516 | − | 2.92315i | −0.969710 | − | 0.176594i | ||||
\(275\) | 7.52460 | − | 1.32679i | 0.453750 | − | 0.0800084i | ||||
\(276\) | 19.8564 | − | 23.1325i | 1.19522 | − | 1.39241i | ||||
\(277\) | −14.1103 | + | 24.4398i | −0.847807 | + | 1.46844i | 0.0353540 | + | 0.999375i | \(0.488744\pi\) |
−0.883161 | + | 0.469070i | \(0.844589\pi\) | |||||||
\(278\) | 5.24575 | + | 4.45203i | 0.314619 | + | 0.267015i | ||||
\(279\) | −16.6033 | + | 13.9318i | −0.994015 | + | 0.834078i | ||||
\(280\) | 2.40421 | − | 12.4112i | 0.143679 | − | 0.741713i | ||||
\(281\) | 1.73634 | − | 4.77054i | 0.103581 | − | 0.284587i | −0.877066 | − | 0.480370i | \(-0.840503\pi\) |
0.980647 | + | 0.195783i | \(0.0627248\pi\) | |||||||
\(282\) | 22.6086 | + | 8.37260i | 1.34632 | + | 0.498581i | ||||
\(283\) | −4.41352 | − | 0.778223i | −0.262357 | − | 0.0462605i | 0.0409225 | − | 0.999162i | \(-0.486970\pi\) |
−0.303279 | + | 0.952902i | \(0.598081\pi\) | |||||||
\(284\) | −3.86632 | + | 3.17107i | −0.229424 | + | 0.188169i | ||||
\(285\) | 29.9772 | + | 5.17353i | 1.77570 | + | 0.306454i | ||||
\(286\) | 5.47280 | + | 15.3027i | 0.323614 | + | 0.904865i | ||||
\(287\) | 0.405500 | − | 2.29971i | 0.0239359 | − | 0.135747i | ||||
\(288\) | −17.9105 | − | 11.0209i | −1.05539 | − | 0.649411i | ||||
\(289\) | −17.6378 | − | 6.41965i | −1.03752 | − | 0.377626i | ||||
\(290\) | −8.71886 | + | 7.23313i | −0.511989 | + | 0.424744i | ||||
\(291\) | −14.2195 | − | 16.9462i | −0.833565 | − | 0.993404i | ||||
\(292\) | −19.6237 | − | 7.39252i | −1.14839 | − | 0.432614i | ||||
\(293\) | −19.7434 | − | 11.3988i | −1.15342 | − | 0.665928i | −0.203702 | − | 0.979033i | \(-0.565298\pi\) |
−0.949719 | + | 0.313105i | \(0.898631\pi\) | |||||||
\(294\) | 13.5173 | − | 7.70356i | 0.788346 | − | 0.449281i | ||||
\(295\) | −2.25824 | − | 12.8071i | −0.131480 | − | 0.745659i | ||||
\(296\) | 1.09677 | + | 1.97563i | 0.0637487 | + | 0.114831i | ||||
\(297\) | −5.46836 | + | 3.15716i | −0.317306 | + | 0.183197i | ||||
\(298\) | −22.8770 | − | 13.3795i | −1.32523 | − | 0.775056i | ||||
\(299\) | −18.7055 | + | 6.80826i | −1.08177 | + | 0.393732i | ||||
\(300\) | 11.0059 | − | 3.86671i | 0.635428 | − | 0.223245i | ||||
\(301\) | 0.873858 | + | 0.733254i | 0.0503684 | + | 0.0422641i | ||||
\(302\) | 8.51938 | − | 1.45302i | 0.490235 | − | 0.0836121i | ||||
\(303\) | −0.294002 | −0.0168900 | ||||||||
\(304\) | −11.4562 | + | 13.1436i | −0.657059 | + | 0.753839i | ||||
\(305\) | −10.2039 | −0.584275 | ||||||||
\(306\) | −30.9959 | + | 5.28650i | −1.77192 | + | 0.302209i | ||||
\(307\) | −25.9825 | − | 21.8019i | −1.48290 | − | 1.24430i | −0.903019 | − | 0.429602i | \(-0.858654\pi\) |
−0.579882 | − | 0.814700i | \(-0.696902\pi\) | |||||||
\(308\) | 10.6343 | − | 3.73616i | 0.605948 | − | 0.212888i | ||||
\(309\) | 16.3315 | − | 5.94418i | 0.929067 | − | 0.338153i | ||||
\(310\) | 19.1645 | + | 11.2083i | 1.08847 | + | 0.636587i | ||||
\(311\) | 15.6547 | − | 9.03827i | 0.887699 | − | 0.512513i | 0.0145095 | − | 0.999895i | \(-0.495381\pi\) |
0.873189 | + | 0.487382i | \(0.162048\pi\) | |||||||
\(312\) | 12.0433 | + | 21.6938i | 0.681819 | + | 1.22817i | ||||
\(313\) | 0.100851 | + | 0.571953i | 0.00570042 | + | 0.0323287i | 0.987525 | − | 0.157460i | \(-0.0503307\pi\) |
−0.981825 | + | 0.189789i | \(0.939220\pi\) | |||||||
\(314\) | −4.80603 | + | 2.73897i | −0.271220 | + | 0.154569i | ||||
\(315\) | −14.3899 | − | 8.30799i | −0.810777 | − | 0.468102i | ||||
\(316\) | 17.0719 | + | 6.43122i | 0.960369 | + | 0.361784i | ||||
\(317\) | −0.495890 | − | 0.590979i | −0.0278520 | − | 0.0331927i | 0.751939 | − | 0.659233i | \(-0.229119\pi\) |
−0.779791 | + | 0.626040i | \(0.784674\pi\) | |||||||
\(318\) | 24.0076 | − | 19.9166i | 1.34628 | − | 1.11687i | ||||
\(319\) | −9.49143 | − | 3.45460i | −0.531418 | − | 0.193420i | ||||
\(320\) | −4.45157 | + | 21.0763i | −0.248850 | + | 1.17820i | ||||
\(321\) | 2.55515 | − | 14.4909i | 0.142614 | − | 0.808806i | ||||
\(322\) | 4.64914 | + | 12.9996i | 0.259087 | + | 0.724439i | ||||
\(323\) | 0.0947395 | + | 26.0695i | 0.00527145 | + | 1.45054i | ||||
\(324\) | 9.79251 | − | 8.03162i | 0.544028 | − | 0.446201i | ||||
\(325\) | −7.50131 | − | 1.32268i | −0.416098 | − | 0.0733693i | ||||
\(326\) | 5.96505 | + | 2.20903i | 0.330374 | + | 0.122347i | ||||
\(327\) | 6.96733 | − | 19.1426i | 0.385294 | − | 1.05859i | ||||
\(328\) | −0.756724 | + | 3.90642i | −0.0417831 | + | 0.215696i | ||||
\(329\) | −8.36375 | + | 7.01802i | −0.461109 | + | 0.386916i | ||||
\(330\) | 25.5488 | + | 21.6831i | 1.40641 | + | 1.19361i | ||||
\(331\) | 11.5517 | − | 20.0081i | 0.634937 | − | 1.09974i | −0.351591 | − | 0.936154i | \(-0.614359\pi\) |
0.986528 | − | 0.163590i | \(-0.0523073\pi\) | |||||||
\(332\) | 10.2122 | − | 11.8971i | 0.560470 | − | 0.652940i | ||||
\(333\) | 2.92486 | − | 0.515732i | 0.160282 | − | 0.0282620i | ||||
\(334\) | −22.0845 | − | 4.02182i | −1.20841 | − | 0.220064i | ||||
\(335\) | −13.6768 | − | 23.6889i | −0.747242 | − | 1.29426i | ||||
\(336\) | 15.0924 | − | 8.26828i | 0.823359 | − | 0.451071i | ||||
\(337\) | −1.58775 | − | 4.36231i | −0.0864903 | − | 0.237630i | 0.888906 | − | 0.458090i | \(-0.151466\pi\) |
−0.975396 | + | 0.220460i | \(0.929244\pi\) | |||||||
\(338\) | −0.0122332 | + | 2.18319i | −0.000665399 | + | 0.118750i | ||||
\(339\) | −16.0254 | + | 19.0983i | −0.870378 | + | 1.03728i | ||||
\(340\) | 15.7906 | + | 28.0721i | 0.856368 | + | 1.52242i | ||||
\(341\) | 19.7948i | 1.07195i | ||||||||
\(342\) | 11.4192 | + | 19.8688i | 0.617478 | + | 1.07438i | ||||
\(343\) | 18.6652i | 1.00783i | ||||||||
\(344\) | −1.46780 | − | 1.27428i | −0.0791386 | − | 0.0687048i | ||||
\(345\) | −26.3827 | + | 31.4416i | −1.42039 | + | 1.69276i | ||||
\(346\) | 6.47702 | + | 0.0362932i | 0.348207 | + | 0.00195113i | ||||
\(347\) | 7.62858 | + | 20.9593i | 0.409524 | + | 1.12516i | 0.957442 | + | 0.288625i | \(0.0931981\pi\) |
−0.547919 | + | 0.836532i | \(0.684580\pi\) | |||||||
\(348\) | −15.1558 | − | 2.84786i | −0.812437 | − | 0.152661i | ||||
\(349\) | 6.79776 | + | 11.7741i | 0.363876 | + | 0.630251i | 0.988595 | − | 0.150598i | \(-0.0481200\pi\) |
−0.624719 | + | 0.780849i | \(0.714787\pi\) | |||||||
\(350\) | −0.946492 | + | 5.19735i | −0.0505921 | + | 0.277810i | ||||
\(351\) | 6.19914 | − | 1.09308i | 0.330886 | − | 0.0583441i | ||||
\(352\) | −18.2249 | + | 6.06076i | −0.971389 | + | 0.323040i | ||||
\(353\) | 12.5636 | − | 21.7608i | 0.668692 | − | 1.15821i | −0.309578 | − | 0.950874i | \(-0.600188\pi\) |
0.978270 | − | 0.207335i | \(-0.0664789\pi\) | |||||||
\(354\) | 11.4549 | − | 13.4970i | 0.608819 | − | 0.717360i | ||||
\(355\) | 5.15717 | − | 4.32738i | 0.273714 | − | 0.229674i | ||||
\(356\) | −21.3965 | − | 12.6751i | −1.13401 | − | 0.671779i | ||||
\(357\) | 8.80041 | − | 24.1789i | 0.465767 | − | 1.27968i | ||||
\(358\) | −3.44496 | + | 9.30242i | −0.182072 | + | 0.491648i | ||||
\(359\) | −9.73513 | − | 1.71657i | −0.513800 | − | 0.0905969i | −0.0892644 | − | 0.996008i | \(-0.528452\pi\) |
−0.424536 | + | 0.905411i | \(0.639563\pi\) | |||||||
\(360\) | 24.2782 | + | 14.5666i | 1.27958 | + | 0.767727i | ||||
\(361\) | 17.8065 | − | 6.62798i | 0.937182 | − | 0.348841i | ||||
\(362\) | −3.03536 | + | 1.08556i | −0.159535 | + | 0.0570556i | ||||
\(363\) | −0.237397 | + | 1.34634i | −0.0124601 | + | 0.0706647i | ||||
\(364\) | −11.2360 | − | 0.125923i | −0.588925 | − | 0.00660014i | ||||
\(365\) | 26.5299 | + | 9.65608i | 1.38864 | + | 0.505422i | ||||
\(366\) | −8.86864 | − | 10.6903i | −0.463571 | − | 0.558792i | ||||
\(367\) | 20.2739 | + | 24.1615i | 1.05829 | + | 1.26122i | 0.964064 | + | 0.265671i | \(0.0855935\pi\) |
0.0942270 | + | 0.995551i | \(0.469962\pi\) | |||||||
\(368\) | −7.54847 | − | 22.2807i | −0.393491 | − | 1.16146i | ||||
\(369\) | 4.52920 | + | 2.61493i | 0.235781 | + | 0.136128i | ||||
\(370\) | −1.50633 | − | 2.64314i | −0.0783106 | − | 0.137410i | ||||
\(371\) | 2.45302 | + | 13.9118i | 0.127354 | + | 0.722263i | ||||
\(372\) | 4.91409 | + | 29.8195i | 0.254784 | + | 1.54607i | ||||
\(373\) | 17.2111 | − | 9.93681i | 0.891155 | − | 0.514509i | 0.0168350 | − | 0.999858i | \(-0.494641\pi\) |
0.874320 | + | 0.485350i | \(0.161308\pi\) | |||||||
\(374\) | −14.4977 | + | 24.7889i | −0.749656 | + | 1.28180i | ||||
\(375\) | 18.0318 | − | 6.56303i | 0.931157 | − | 0.338913i | ||||
\(376\) | 14.4504 | − | 11.7171i | 0.745225 | − | 0.604265i | ||||
\(377\) | 7.71354 | + | 6.47243i | 0.397267 | + | 0.333347i | ||||
\(378\) | −0.734006 | − | 4.30363i | −0.0377532 | − | 0.221355i | ||||
\(379\) | 36.4793 | 1.87382 | 0.936909 | − | 0.349573i | \(-0.113673\pi\) | ||||
0.936909 | + | 0.349573i | \(0.113673\pi\) | |||||||
\(380\) | 15.2246 | − | 17.8674i | 0.781005 | − | 0.916579i | ||||
\(381\) | −20.9835 | −1.07502 | ||||||||
\(382\) | −5.67151 | − | 33.2532i | −0.290180 | − | 1.70138i | ||||
\(383\) | 14.8965 | + | 12.4996i | 0.761175 | + | 0.638702i | 0.938432 | − | 0.345463i | \(-0.112278\pi\) |
−0.177258 | + | 0.984164i | \(0.556723\pi\) | |||||||
\(384\) | −25.9500 | + | 13.6545i | −1.32425 | + | 0.696803i | ||||
\(385\) | −14.2601 | + | 5.19024i | −0.726761 | + | 0.264519i | ||||
\(386\) | −11.5431 | + | 19.7371i | −0.587531 | + | 1.00459i | ||||
\(387\) | −2.21252 | + | 1.27740i | −0.112469 | + | 0.0649339i | ||||
\(388\) | −16.8432 | + | 2.77566i | −0.855083 | + | 0.140913i | ||||
\(389\) | −1.67034 | − | 9.47298i | −0.0846897 | − | 0.480299i | −0.997423 | − | 0.0717435i | \(-0.977144\pi\) |
0.912733 | − | 0.408556i | \(-0.133967\pi\) | |||||||
\(390\) | −16.5406 | − | 29.0235i | −0.837565 | − | 1.46966i | ||||
\(391\) | −30.4616 | − | 17.5870i | −1.54051 | − | 0.889413i | ||||
\(392\) | 0.201806 | − | 12.0040i | 0.0101927 | − | 0.606295i | ||||
\(393\) | 8.99334 | + | 10.7178i | 0.453654 | + | 0.540644i | ||||
\(394\) | 2.87881 | + | 3.47014i | 0.145033 | + | 0.174823i | ||||
\(395\) | −23.0800 | − | 8.40043i | −1.16128 | − | 0.422671i | ||||
\(396\) | −0.282892 | + | 25.2422i | −0.0142158 | + | 1.26847i | ||||
\(397\) | −0.0229782 | + | 0.130316i | −0.00115324 | + | 0.00654036i | −0.985379 | − | 0.170377i | \(-0.945501\pi\) |
0.984226 | + | 0.176917i | \(0.0566125\pi\) | |||||||
\(398\) | 15.2059 | − | 5.43820i | 0.762202 | − | 0.272592i | ||||
\(399\) | −18.7528 | + | 0.0681499i | −0.938815 | + | 0.00341176i | ||||
\(400\) | 1.76141 | − | 8.82769i | 0.0880706 | − | 0.441385i | ||||
\(401\) | −1.91187 | − | 0.337113i | −0.0954740 | − | 0.0168346i | 0.125707 | − | 0.992067i | \(-0.459880\pi\) |
−0.221181 | + | 0.975233i | \(0.570991\pi\) | |||||||
\(402\) | 12.9310 | − | 34.9176i | 0.644940 | − | 1.74153i | ||||
\(403\) | 6.74926 | − | 18.5435i | 0.336205 | − | 0.923715i | ||||
\(404\) | −0.115629 | + | 0.195190i | −0.00575275 | + | 0.00971109i | ||||
\(405\) | −13.0620 | + | 10.9603i | −0.649054 | + | 0.544621i | ||||
\(406\) | 4.51889 | − | 5.32453i | 0.224269 | − | 0.264252i | ||||
\(407\) | 1.35623 | − | 2.34906i | 0.0672259 | − | 0.116439i | ||||
\(408\) | −15.6859 | + | 40.9419i | −0.776568 | + | 2.02692i | ||||
\(409\) | −27.0452 | + | 4.76879i | −1.33730 | + | 0.235802i | −0.796136 | − | 0.605117i | \(-0.793126\pi\) |
−0.541161 | + | 0.840919i | \(0.682015\pi\) | |||||||
\(410\) | 0.959799 | − | 5.27042i | 0.0474011 | − | 0.260288i | ||||
\(411\) | 14.9507 | + | 25.8954i | 0.737465 | + | 1.27733i | ||||
\(412\) | 2.47668 | − | 13.1804i | 0.122017 | − | 0.649354i | ||||
\(413\) | 2.74193 | + | 7.53340i | 0.134922 | + | 0.370694i | ||||
\(414\) | −30.9193 | − | 0.173252i | −1.51960 | − | 0.00851488i | ||||
\(415\) | −13.5687 | + | 16.1705i | −0.666061 | + | 0.793781i | ||||
\(416\) | 19.1393 | + | 0.536357i | 0.938380 | + | 0.0262971i | ||||
\(417\) | − | 12.6095i | − | 0.617489i | ||||||
\(418\) | 20.6043 | + | 3.67495i | 1.00779 | + | 0.179748i | ||||
\(419\) | − | 6.34043i | − | 0.309750i | −0.987934 | − | 0.154875i | \(-0.950503\pi\) | ||
0.987934 | − | 0.154875i | \(-0.0494975\pi\) | |||||||
\(420\) | −20.1934 | + | 11.3588i | −0.985336 | + | 0.554255i | ||||
\(421\) | 7.49154 | − | 8.92808i | 0.365116 | − | 0.435128i | −0.551942 | − | 0.833882i | \(-0.686113\pi\) |
0.917058 | + | 0.398755i | \(0.130558\pi\) | |||||||
\(422\) | −0.0303367 | + | 5.41401i | −0.00147677 | + | 0.263550i | ||||
\(423\) | −8.36313 | − | 22.9775i | −0.406629 | − | 1.11720i | ||||
\(424\) | −3.78078 | − | 23.7719i | −0.183611 | − | 1.15447i | ||||
\(425\) | −6.72966 | − | 11.6561i | −0.326436 | − | 0.565404i | ||||
\(426\) | 9.01595 | + | 1.64190i | 0.436824 | + | 0.0795502i | ||||
\(427\) | 6.19476 | − | 1.09230i | 0.299785 | − | 0.0528602i | ||||
\(428\) | −8.61575 | − | 7.39558i | −0.416458 | − | 0.357479i | ||||
\(429\) | 14.8924 | − | 25.7943i | 0.719010 | − | 1.24536i | ||||
\(430\) | 1.99525 | + | 1.69335i | 0.0962194 | + | 0.0816608i | ||||
\(431\) | 17.1020 | − | 14.3503i | 0.823775 | − | 0.691229i | −0.130078 | − | 0.991504i | \(-0.541523\pi\) |
0.953853 | + | 0.300275i | \(0.0970784\pi\) | |||||||
\(432\) | 1.12727 | + | 7.35318i | 0.0542359 | + | 0.353780i | ||||
\(433\) | −6.55454 | + | 18.0085i | −0.314991 | + | 0.865431i | 0.676638 | + | 0.736316i | \(0.263436\pi\) |
−0.991630 | + | 0.129116i | \(0.958786\pi\) | |||||||
\(434\) | −12.8345 | − | 4.75298i | −0.616075 | − | 0.228150i | ||||
\(435\) | 20.4464 | + | 3.60526i | 0.980331 | + | 0.172859i | ||||
\(436\) | −9.96873 | − | 12.1543i | −0.477415 | − | 0.582086i | ||||
\(437\) | −4.35977 | + | 25.2620i | −0.208556 | + | 1.20844i | ||||
\(438\) | 12.9418 | + | 36.1869i | 0.618383 | + | 1.72908i | ||||
\(439\) | 0.638308 | − | 3.62002i | 0.0304648 | − | 0.172774i | −0.965779 | − | 0.259366i | \(-0.916486\pi\) |
0.996244 | + | 0.0865917i | \(0.0275975\pi\) | |||||||
\(440\) | 24.4437 | − | 8.43425i | 1.16531 | − | 0.402087i | ||||
\(441\) | −14.8281 | − | 5.39700i | −0.706101 | − | 0.257000i | ||||
\(442\) | 22.0332 | − | 18.2787i | 1.04801 | − | 0.869428i | ||||
\(443\) | −14.4156 | − | 17.1798i | −0.684905 | − | 0.816237i | 0.305825 | − | 0.952088i | \(-0.401068\pi\) |
−0.990729 | + | 0.135850i | \(0.956623\pi\) | |||||||
\(444\) | 1.45992 | − | 3.87539i | 0.0692845 | − | 0.183918i | ||||
\(445\) | 28.9962 | + | 16.7410i | 1.37455 | + | 0.793598i | ||||
\(446\) | −29.2376 | + | 16.6626i | −1.38444 | + | 0.788998i | ||||
\(447\) | 8.43420 | + | 47.8327i | 0.398924 | + | 2.26241i | ||||
\(448\) | 0.446367 | − | 13.2719i | 0.0210888 | − | 0.627036i | ||||
\(449\) | −32.5644 | + | 18.8011i | −1.53681 | + | 0.887278i | −0.537788 | + | 0.843080i | \(0.680740\pi\) |
−0.999023 | + | 0.0441984i | \(0.985927\pi\) | |||||||
\(450\) | −10.2130 | − | 5.97303i | −0.481446 | − | 0.281571i | ||||
\(451\) | 4.48835 | − | 1.63362i | 0.211348 | − | 0.0769244i | ||||
\(452\) | 6.37686 | + | 18.1506i | 0.299942 | + | 0.853733i | ||||
\(453\) | −12.1333 | − | 10.1810i | −0.570072 | − | 0.478347i | ||||
\(454\) | 29.8689 | − | 5.09430i | 1.40182 | − | 0.239087i | ||||
\(455\) | 15.1283 | 0.709225 | ||||||||
\(456\) | 31.9514 | + | 0.421011i | 1.49626 | + | 0.0197156i | ||||
\(457\) | 40.6482 | 1.90144 | 0.950721 | − | 0.310047i | \(-0.100345\pi\) | ||||
0.950721 | + | 0.310047i | \(0.100345\pi\) | |||||||
\(458\) | 24.5449 | − | 4.18626i | 1.14691 | − | 0.195611i | ||||
\(459\) | 8.52063 | + | 7.14966i | 0.397709 | + | 0.333717i | ||||
\(460\) | 10.4983 | + | 29.8815i | 0.489484 | + | 1.39323i | ||||
\(461\) | −27.8951 | + | 10.1530i | −1.29920 | + | 0.472871i | −0.896737 | − | 0.442564i | \(-0.854069\pi\) |
−0.402466 | + | 0.915435i | \(0.631847\pi\) | |||||||
\(462\) | −17.8316 | − | 10.4288i | −0.829603 | − | 0.485190i | ||||
\(463\) | −16.0546 | + | 9.26911i | −0.746119 | + | 0.430772i | −0.824290 | − | 0.566168i | \(-0.808425\pi\) |
0.0781706 | + | 0.996940i | \(0.475092\pi\) | |||||||
\(464\) | −7.85140 | + | 8.94204i | −0.364492 | + | 0.415124i | ||||
\(465\) | −7.06548 | − | 40.0703i | −0.327654 | − | 1.85822i | ||||
\(466\) | −14.3056 | + | 8.15281i | −0.662694 | + | 0.377672i | ||||
\(467\) | 22.4178 | + | 12.9429i | 1.03737 | + | 0.598926i | 0.919087 | − | 0.394054i | \(-0.128928\pi\) |
0.118283 | + | 0.992980i | \(0.462261\pi\) | |||||||
\(468\) | 8.87162 | − | 23.5500i | 0.410091 | − | 1.08860i | ||||
\(469\) | 10.8389 | + | 12.9173i | 0.500496 | + | 0.596467i | ||||
\(470\) | −19.2771 | + | 15.9922i | −0.889185 | + | 0.737664i | ||||
\(471\) | 9.52657 | + | 3.46739i | 0.438961 | + | 0.159769i | ||||
\(472\) | −4.45569 | − | 12.9133i | −0.205090 | − | 0.594382i | ||||
\(473\) | −0.405170 | + | 2.29783i | −0.0186297 | + | 0.105654i | ||||
\(474\) | −11.2589 | − | 31.4813i | −0.517138 | − | 1.44598i | ||||
\(475\) | −6.27800 | + | 7.53729i | −0.288054 | + | 0.345834i | ||||
\(476\) | −12.5915 | − | 15.3521i | −0.577129 | − | 0.703661i | ||||
\(477\) | −31.1568 | − | 5.49378i | −1.42657 | − | 0.251543i | ||||
\(478\) | −23.1946 | − | 8.58963i | −1.06090 | − | 0.392881i | ||||
\(479\) | 0.149158 | − | 0.409808i | 0.00681519 | − | 0.0187246i | −0.936238 | − | 0.351365i | \(-0.885717\pi\) |
0.943054 | + | 0.332641i | \(0.107940\pi\) | |||||||
\(480\) | 34.7291 | − | 18.7738i | 1.58516 | − | 0.856904i | ||||
\(481\) | −2.07144 | + | 1.73814i | −0.0944494 | + | 0.0792525i | ||||
\(482\) | −29.3246 | − | 24.8876i | −1.33570 | − | 1.13360i | ||||
\(483\) | 12.6510 | − | 21.9123i | 0.575643 | − | 0.997042i | ||||
\(484\) | 0.800483 | + | 0.687118i | 0.0363856 | + | 0.0312326i | ||||
\(485\) | 22.6332 | − | 3.99084i | 1.02772 | − | 0.181215i | ||||
\(486\) | −30.5981 | − | 5.57222i | −1.38796 | − | 0.252761i | ||||
\(487\) | −2.67545 | − | 4.63401i | −0.121236 | − | 0.209987i | 0.799019 | − | 0.601305i | \(-0.205352\pi\) |
−0.920255 | + | 0.391318i | \(0.872019\pi\) | |||||||
\(488\) | −10.5854 | + | 1.68354i | −0.479177 | + | 0.0762103i | ||||
\(489\) | −3.98716 | − | 10.9546i | −0.180306 | − | 0.495386i | ||||
\(490\) | −0.0905697 | + | 16.1634i | −0.00409152 | + | 0.730189i | ||||
\(491\) | −17.1929 | + | 20.4898i | −0.775907 | + | 0.924690i | −0.998741 | − | 0.0501666i | \(-0.984025\pi\) |
0.222834 | + | 0.974856i | \(0.428469\pi\) | |||||||
\(492\) | 6.35585 | − | 3.57519i | 0.286544 | − | 0.161182i | ||||
\(493\) | 17.7925i | 0.801334i | ||||||||
\(494\) | −18.0488 | − | 10.4679i | −0.812054 | − | 0.470974i | ||||
\(495\) | − | 33.9865i | − | 1.52758i | ||||||
\(496\) | 21.7301 | + | 8.46532i | 0.975712 | + | 0.380104i | ||||
\(497\) | −2.66766 | + | 3.17919i | −0.119661 | + | 0.142606i | ||||
\(498\) | −28.7344 | − | 0.161010i | −1.28762 | − | 0.00721502i | ||||
\(499\) | −1.54362 | − | 4.24107i | −0.0691021 | − | 0.189856i | 0.900334 | − | 0.435199i | \(-0.143322\pi\) |
−0.969437 | + | 0.245342i | \(0.921100\pi\) | |||||||
\(500\) | 2.73452 | − | 14.5527i | 0.122292 | − | 0.650815i | ||||
\(501\) | 20.5700 | + | 35.6282i | 0.918998 | + | 1.59175i | ||||
\(502\) | 5.88131 | − | 32.2953i | 0.262495 | − | 1.44141i | ||||
\(503\) | −20.5559 | + | 3.62456i | −0.916543 | + | 0.161611i | −0.611973 | − | 0.790879i | \(-0.709624\pi\) |
−0.304570 | + | 0.952490i | \(0.598513\pi\) | |||||||
\(504\) | −16.2985 | − | 6.24439i | −0.725994 | − | 0.278147i | ||||
\(505\) | 0.152720 | − | 0.264519i | 0.00679595 | − | 0.0117709i | ||||
\(506\) | −18.2725 | + | 21.5301i | −0.812310 | + | 0.957130i | ||||
\(507\) | 3.06508 | − | 2.57191i | 0.136125 | − | 0.114223i | ||||
\(508\) | −8.25265 | + | 13.9311i | −0.366152 | + | 0.618093i | ||||
\(509\) | 11.3786 | − | 31.2625i | 0.504348 | − | 1.38569i | −0.382642 | − | 0.923897i | \(-0.624986\pi\) |
0.886990 | − | 0.461789i | \(-0.152792\pi\) | |||||||
\(510\) | 20.4994 | − | 55.3545i | 0.907727 | − | 2.45114i | ||||
\(511\) | −17.1398 | − | 3.02221i | −0.758221 | − | 0.133695i | ||||
\(512\) | −1.14061 | + | 22.5987i | −0.0504085 | + | 0.998729i | ||||
\(513\) | 2.74490 | − | 7.62769i | 0.121190 | − | 0.336771i | ||||
\(514\) | 11.9022 | − | 4.25668i | 0.524985 | − | 0.187754i | ||||
\(515\) | −3.13536 | + | 17.7815i | −0.138160 | + | 0.783546i | ||||
\(516\) | −0.0399210 | + | 3.56212i | −0.00175742 | + | 0.156813i | ||||
\(517\) | −20.9852 | − | 7.63798i | −0.922928 | − | 0.335918i | ||||
\(518\) | 1.19743 | + | 1.44339i | 0.0526120 | + | 0.0634189i | ||||
\(519\) | −7.63028 | − | 9.09341i | −0.334932 | − | 0.399156i | ||||
\(520\) | −25.7743 | − | 0.433305i | −1.13028 | − | 0.0190017i | ||||
\(521\) | 18.8289 | + | 10.8709i | 0.824911 | + | 0.476262i | 0.852107 | − | 0.523368i | \(-0.175325\pi\) |
−0.0271962 | + | 0.999630i | \(0.508658\pi\) | |||||||
\(522\) | 7.74423 | + | 13.5887i | 0.338956 | + | 0.594761i | ||||
\(523\) | 3.60494 | + | 20.4446i | 0.157633 | + | 0.893981i | 0.956339 | + | 0.292260i | \(0.0944072\pi\) |
−0.798706 | + | 0.601722i | \(0.794482\pi\) | |||||||
\(524\) | 10.6527 | − | 1.75550i | 0.465365 | − | 0.0766895i | ||||
\(525\) | 8.38471 | − | 4.84092i | 0.365939 | − | 0.211275i | ||||
\(526\) | −0.425181 | + | 0.726997i | −0.0185388 | + | 0.0316986i | ||||
\(527\) | 32.7663 | − | 11.9260i | 1.42732 | − | 0.519504i | ||||
\(528\) | 30.0813 | + | 18.2783i | 1.30912 | + | 0.795463i | ||||
\(529\) | −8.87704 | − | 7.44872i | −0.385958 | − | 0.323858i | ||||
\(530\) | 5.44852 | + | 31.9458i | 0.236669 | + | 1.38764i | ||||
\(531\) | −17.9546 | −0.779162 | ||||||||
\(532\) | −7.33012 | + | 12.4770i | −0.317801 | + | 0.540945i | ||||
\(533\) | −4.76162 | −0.206248 | ||||||||
\(534\) | 7.66280 | + | 44.9286i | 0.331602 | + | 1.94425i | ||||
\(535\) | 11.7105 | + | 9.82628i | 0.506289 | + | 0.424827i | ||||
\(536\) | −18.0965 | − | 22.3179i | −0.781648 | − | 0.963986i | ||||
\(537\) | 17.0836 | − | 6.21793i | 0.737213 | − | 0.268324i | ||||
\(538\) | −7.36190 | + | 12.5878i | −0.317394 | + | 0.542697i | ||||
\(539\) | −12.4808 | + | 7.20577i | −0.537584 | + | 0.310375i | ||||
\(540\) | −1.62853 | − | 9.88218i | −0.0700806 | − | 0.425261i | ||||
\(541\) | −6.88874 | − | 39.0680i | −0.296170 | − | 1.67966i | −0.662408 | − | 0.749143i | \(-0.730465\pi\) |
0.366238 | − | 0.930521i | \(-0.380646\pi\) | |||||||
\(542\) | 8.26585 | + | 14.5040i | 0.355049 | + | 0.622998i | ||||
\(543\) | 5.11643 | + | 2.95397i | 0.219567 | + | 0.126767i | ||||
\(544\) | 21.0125 | + | 26.5162i | 0.900904 | + | 1.13687i | ||||
\(545\) | 13.6037 | + | 16.2123i | 0.582720 | + | 0.694459i | ||||
\(546\) | 13.1486 | + | 15.8494i | 0.562708 | + | 0.678292i | ||||
\(547\) | −14.4386 | − | 5.25520i | −0.617348 | − | 0.224696i | 0.0143672 | − | 0.999897i | \(-0.495427\pi\) |
−0.631715 | + | 0.775200i | \(0.717649\pi\) | |||||||
\(548\) | 23.0722 | + | 0.258573i | 0.985597 | + | 0.0110457i | ||||
\(549\) | −2.44632 | + | 13.8738i | −0.104406 | + | 0.592118i | ||||
\(550\) | −10.1744 | + | 3.63876i | −0.433840 | + | 0.155157i | ||||
\(551\) | 12.1692 | − | 4.47939i | 0.518427 | − | 0.190829i | ||||
\(552\) | −22.1814 | + | 36.9698i | −0.944102 | + | 1.57354i | ||||
\(553\) | 14.9110 | + | 2.62921i | 0.634080 | + | 0.111805i | ||||
\(554\) | 13.8600 | − | 37.4261i | 0.588853 | − | 1.59008i | ||||
\(555\) | −1.90694 | + | 5.23926i | −0.0809449 | + | 0.222394i | ||||
\(556\) | −8.37155 | − | 4.95923i | −0.355033 | − | 0.210318i | ||||
\(557\) | 0.878070 | − | 0.736789i | 0.0372050 | − | 0.0312187i | −0.623996 | − | 0.781428i | \(-0.714492\pi\) |
0.661201 | + | 0.750209i | \(0.270047\pi\) | |||||||
\(558\) | 19.8339 | − | 23.3699i | 0.839634 | − | 0.989326i | ||||
\(559\) | 1.16303 | − | 2.01443i | 0.0491909 | − | 0.0852011i | ||||
\(560\) | −0.400680 | + | 17.8739i | −0.0169318 | + | 0.755311i | ||||
\(561\) | 51.8301 | − | 9.13905i | 2.18827 | − | 0.385851i | ||||
\(562\) | −1.28631 | + | 7.06338i | −0.0542599 | + | 0.297951i | ||||
\(563\) | −13.2485 | − | 22.9471i | −0.558358 | − | 0.967104i | −0.997634 | − | 0.0687518i | \(-0.978098\pi\) |
0.439276 | − | 0.898352i | \(-0.355235\pi\) | |||||||
\(564\) | −33.5089 | − | 6.29651i | −1.41098 | − | 0.265131i | ||||
\(565\) | −8.85867 | − | 24.3390i | −0.372687 | − | 1.02395i | ||||
\(566\) | 6.33785 | + | 0.0355133i | 0.266400 | + | 0.00149274i | ||||
\(567\) | 6.75658 | − | 8.05218i | 0.283750 | − | 0.338160i | ||||
\(568\) | 4.63599 | − | 5.34003i | 0.194522 | − | 0.224063i | ||||
\(569\) | − | 9.00969i | − | 0.377706i | −0.982005 | − | 0.188853i | \(-0.939523\pi\) | ||
0.982005 | − | 0.188853i | \(-0.0604769\pi\) | |||||||
\(570\) | −43.0208 | − | 0.0847173i | −1.80194 | − | 0.00354842i | ||||
\(571\) | − | 12.9557i | − | 0.542179i | −0.962554 | − | 0.271089i | \(-0.912616\pi\) | ||
0.962554 | − | 0.271089i | \(-0.0873839\pi\) | |||||||
\(572\) | −11.2680 | − | 20.0319i | −0.471139 | − | 0.837576i | ||||
\(573\) | −39.7391 | + | 47.3593i | −1.66013 | + | 1.97846i | ||||
\(574\) | −0.0185045 | + | 3.30239i | −0.000772365 | + | 0.137839i | ||||
\(575\) | −4.52668 | − | 12.4370i | −0.188776 | − | 0.518657i | ||||
\(576\) | 27.5892 | + | 11.1055i | 1.14955 | + | 0.462728i | ||||
\(577\) | 15.3414 | + | 26.5721i | 0.638672 | + | 1.10621i | 0.985725 | + | 0.168366i | \(0.0538490\pi\) |
−0.347053 | + | 0.937846i | \(0.612818\pi\) | |||||||
\(578\) | 26.1150 | + | 4.75581i | 1.08624 | + | 0.197816i | ||||
\(579\) | 41.2675 | − | 7.27658i | 1.71502 | − | 0.302404i | ||||
\(580\) | 10.4350 | − | 12.1566i | 0.433290 | − | 0.504777i | ||||
\(581\) | 6.50648 | − | 11.2696i | 0.269934 | − | 0.467540i | ||||
\(582\) | 23.8525 | + | 20.2434i | 0.988717 | + | 0.839118i | ||||
\(583\) | −22.1342 | + | 18.5728i | −0.916706 | + | 0.769208i | ||||
\(584\) | 29.1148 | + | 5.63990i | 1.20478 | + | 0.233381i | ||||
\(585\) | −11.5881 | + | 31.8380i | −0.479108 | + | 1.31634i | ||||
\(586\) | 30.2342 | + | 11.1966i | 1.24896 | + | 0.462527i | ||||
\(587\) | −29.7939 | − | 5.25347i | −1.22973 | − | 0.216834i | −0.479218 | − | 0.877696i | \(-0.659080\pi\) |
−0.750508 | + | 0.660862i | \(0.770191\pi\) | |||||||
\(588\) | −17.0126 | + | 13.9534i | −0.701588 | + | 0.575428i | ||||
\(589\) | −16.4060 | − | 19.4082i | −0.675997 | − | 0.799701i | ||||
\(590\) | 6.19329 | + | 17.3172i | 0.254974 | + | 0.712939i | ||||
\(591\) | 1.43491 | − | 8.13776i | 0.0590242 | − | 0.334743i | ||||
\(592\) | −1.99873 | − | 2.49342i | −0.0821475 | − | 0.102479i | ||||
\(593\) | −4.00540 | − | 1.45785i | −0.164482 | − | 0.0598666i | 0.258467 | − | 0.966020i | \(-0.416783\pi\) |
−0.422949 | + | 0.906154i | \(0.639005\pi\) | |||||||
\(594\) | 6.87267 | − | 5.70154i | 0.281989 | − | 0.233937i | ||||
\(595\) | 17.1828 | + | 20.4777i | 0.704427 | + | 0.839504i | ||||
\(596\) | 35.0737 | + | 13.2128i | 1.43667 | + | 0.541216i | ||||
\(597\) | −25.6312 | − | 14.7982i | −1.04902 | − | 0.605650i | ||||
\(598\) | 24.4583 | − | 13.9389i | 1.00017 | − | 0.570002i | ||||
\(599\) | −0.748191 | − | 4.24320i | −0.0305703 | − | 0.173373i | 0.965700 | − | 0.259660i | \(-0.0836106\pi\) |
−0.996270 | + | 0.0862879i | \(0.972500\pi\) | |||||||
\(600\) | −14.4238 | + | 8.00738i | −0.588849 | + | 0.326900i | ||||
\(601\) | 0.136310 | − | 0.0786987i | 0.00556021 | − | 0.00321019i | −0.497217 | − | 0.867626i | \(-0.665645\pi\) |
0.502778 | + | 0.864416i | \(0.332311\pi\) | |||||||
\(602\) | −1.39257 | − | 0.814441i | −0.0567571 | − | 0.0331942i | ||||
\(603\) | −35.4875 | + | 12.9164i | −1.44516 | + | 0.525996i | ||||
\(604\) | −11.5312 | + | 4.05127i | −0.469199 | + | 0.164844i | ||||
\(605\) | −1.08801 | − | 0.912952i | −0.0442341 | − | 0.0371168i | ||||
\(606\) | 0.409863 | − | 0.0699042i | 0.0166495 | − | 0.00283966i | ||||
\(607\) | −23.1610 | −0.940074 | −0.470037 | − | 0.882647i | \(-0.655760\pi\) | ||||
−0.470037 | + | 0.882647i | \(0.655760\pi\) | |||||||
\(608\) | 12.8458 | − | 21.0472i | 0.520965 | − | 0.853578i | ||||
\(609\) | −12.7989 | −0.518636 | ||||||||
\(610\) | 14.2251 | − | 2.42617i | 0.575958 | − | 0.0982326i | ||||
\(611\) | 17.0543 | + | 14.3103i | 0.689945 | + | 0.578932i | ||||
\(612\) | 41.9539 | − | 14.7396i | 1.69588 | − | 0.595815i | ||||
\(613\) | −45.1542 | + | 16.4348i | −1.82376 | + | 0.663795i | −0.829286 | + | 0.558825i | \(0.811252\pi\) |
−0.994475 | + | 0.104970i | \(0.966525\pi\) | |||||||
\(614\) | 41.4056 | + | 24.2159i | 1.67099 | + | 0.977273i | ||||
\(615\) | −8.50259 | + | 4.90898i | −0.342858 | + | 0.197949i | ||||
\(616\) | −13.9368 | + | 7.73703i | −0.561530 | + | 0.311734i | ||||
\(617\) | −2.55508 | − | 14.4906i | −0.102864 | − | 0.583369i | −0.992052 | − | 0.125828i | \(-0.959841\pi\) |
0.889188 | − | 0.457541i | \(-0.151270\pi\) | |||||||
\(618\) | −21.3541 | + | 12.1698i | −0.858989 | + | 0.489541i | ||||
\(619\) | 41.6191 | + | 24.0288i | 1.67281 | + | 0.965800i | 0.966052 | + | 0.258349i | \(0.0831783\pi\) |
0.706762 | + | 0.707451i | \(0.250155\pi\) | |||||||
\(620\) | −29.3818 | − | 11.0686i | −1.18000 | − | 0.444524i | ||||
\(621\) | 7.03057 | + | 8.37871i | 0.282127 | + | 0.336226i | ||||
\(622\) | −19.6750 | + | 16.3223i | −0.788895 | + | 0.654464i | ||||
\(623\) | −19.3955 | − | 7.05940i | −0.777066 | − | 0.282829i | ||||
\(624\) | −21.9475 | − | 27.3794i | −0.878602 | − | 1.09605i | ||||
\(625\) | −5.41569 | + | 30.7139i | −0.216628 | + | 1.22856i | ||||
\(626\) | −0.276586 | − | 0.773371i | −0.0110546 | − | 0.0309101i | ||||
\(627\) | −19.2993 | − | 33.1486i | −0.770740 | − | 1.32383i | ||||
\(628\) | 6.04877 | − | 4.96107i | 0.241372 | − | 0.197968i | ||||
\(629\) | −4.70551 | − | 0.829708i | −0.187621 | − | 0.0330826i | ||||
\(630\) | 22.0360 | + | 8.16058i | 0.877937 | + | 0.325125i | ||||
\(631\) | 2.81681 | − | 7.73912i | 0.112135 | − | 0.308090i | −0.870913 | − | 0.491438i | \(-0.836471\pi\) |
0.983048 | + | 0.183348i | \(0.0586937\pi\) | |||||||
\(632\) | −25.3288 | − | 4.90650i | −1.00752 | − | 0.195170i | ||||
\(633\) | 7.60099 | − | 6.37799i | 0.302112 | − | 0.253502i | ||||
\(634\) | 0.831828 | + | 0.705967i | 0.0330361 | + | 0.0280375i | ||||
\(635\) | 10.8999 | − | 18.8792i | 0.432550 | − | 0.749199i | ||||
\(636\) | −28.7330 | + | 33.4736i | −1.13934 | + | 1.32731i | ||||
\(637\) | 14.1487 | − | 2.49479i | 0.560591 | − | 0.0988473i | ||||
\(638\) | 14.0532 | + | 2.55924i | 0.556373 | + | 0.101321i | ||||
\(639\) | −4.64732 | − | 8.04940i | −0.183845 | − | 0.318429i | ||||
\(640\) | 1.19459 | − | 30.4406i | 0.0472203 | − | 1.20327i | ||||
\(641\) | 12.2993 | + | 33.7920i | 0.485793 | + | 1.33471i | 0.904457 | + | 0.426564i | \(0.140276\pi\) |
−0.418664 | + | 0.908141i | \(0.637502\pi\) | |||||||
\(642\) | −0.116601 | + | 20.8091i | −0.00460188 | + | 0.821270i | ||||
\(643\) | 12.2592 | − | 14.6099i | 0.483454 | − | 0.576158i | −0.468086 | − | 0.883683i | \(-0.655056\pi\) |
0.951540 | + | 0.307525i | \(0.0995008\pi\) | |||||||
\(644\) | −9.57217 | − | 17.0171i | −0.377196 | − | 0.670567i | ||||
\(645\) | − | 4.79609i | − | 0.188846i | ||||||
\(646\) | −6.33056 | − | 36.3205i | −0.249072 | − | 1.42901i | ||||
\(647\) | − | 44.0542i | − | 1.73195i | −0.500089 | − | 0.865974i | \(-0.666699\pi\) | ||
0.500089 | − | 0.865974i | \(-0.333301\pi\) | |||||||
\(648\) | −11.7419 | + | 13.5251i | −0.461266 | + | 0.531316i | ||||
\(649\) | −10.5403 | + | 12.5614i | −0.413742 | + | 0.493079i | ||||
\(650\) | 10.7719 | + | 0.0603592i | 0.422510 | + | 0.00236748i | ||||
\(651\) | 8.57884 | + | 23.5702i | 0.336231 | + | 0.923787i | ||||
\(652\) | −8.84101 | − | 1.66127i | −0.346241 | − | 0.0650605i | ||||
\(653\) | −14.7359 | − | 25.5233i | −0.576660 | − | 0.998804i | −0.995859 | − | 0.0909095i | \(-0.971023\pi\) |
0.419200 | − | 0.907894i | \(-0.362311\pi\) | |||||||
\(654\) | −5.16154 | + | 28.3429i | −0.201832 | + | 1.10830i | ||||
\(655\) | −14.3147 | + | 2.52406i | −0.559320 | + | 0.0986232i | ||||
\(656\) | 0.126114 | − | 5.62580i | 0.00492391 | − | 0.219651i | ||||
\(657\) | 19.4892 | − | 33.7563i | 0.760347 | − | 1.31696i | ||||
\(658\) | 9.99110 | − | 11.7723i | 0.389494 | − | 0.458933i | ||||
\(659\) | 4.57370 | − | 3.83779i | 0.178166 | − | 0.149499i | −0.549344 | − | 0.835597i | \(-0.685122\pi\) |
0.727510 | + | 0.686098i | \(0.240678\pi\) | |||||||
\(660\) | −40.7726 | − | 24.1533i | −1.58707 | − | 0.940166i | ||||
\(661\) | 14.8266 | − | 40.7359i | 0.576690 | − | 1.58444i | −0.217034 | − | 0.976164i | \(-0.569638\pi\) |
0.793724 | − | 0.608278i | \(-0.208139\pi\) | |||||||
\(662\) | −11.3467 | + | 30.6395i | −0.441002 | + | 1.19084i | ||||
\(663\) | −51.6697 | − | 9.11077i | −2.00669 | − | 0.353833i | ||||
\(664\) | −11.4080 | + | 19.0137i | −0.442715 | + | 0.737876i | ||||
\(665\) | 9.67989 | − | 16.9077i | 0.375370 | − | 0.655651i | ||||
\(666\) | −3.95488 | + | 1.41441i | −0.153248 | + | 0.0548074i | ||||
\(667\) | −3.03817 | + | 17.2303i | −0.117639 | + | 0.667162i | ||||
\(668\) | 31.7439 | + | 0.355757i | 1.22821 | + | 0.0137647i | ||||
\(669\) | 57.9551 | + | 21.0939i | 2.24067 | + | 0.815539i | ||||
\(670\) | 24.6990 | + | 29.7723i | 0.954206 | + | 1.15021i | ||||
\(671\) | 8.27028 | + | 9.85613i | 0.319271 | + | 0.380492i | ||||
\(672\) | −19.0742 | + | 15.1152i | −0.735802 | + | 0.583080i | ||||
\(673\) | −29.6835 | − | 17.1378i | −1.14421 | − | 0.660613i | −0.196744 | − | 0.980455i | \(-0.563037\pi\) |
−0.947471 | + | 0.319842i | \(0.896370\pi\) | |||||||
\(674\) | 3.25067 | + | 5.70390i | 0.125211 | + | 0.219706i | ||||
\(675\) | 0.726766 | + | 4.12169i | 0.0279732 | + | 0.158644i | ||||
\(676\) | −0.502038 | − | 3.04645i | −0.0193091 | − | 0.117171i | ||||
\(677\) | 22.0117 | − | 12.7085i | 0.845978 | − | 0.488425i | −0.0133139 | − | 0.999911i | \(-0.504238\pi\) |
0.859292 | + | 0.511486i | \(0.170905\pi\) | |||||||
\(678\) | 17.7997 | − | 30.4349i | 0.683594 | − | 1.16885i | ||||
\(679\) | −13.3133 | + | 4.84565i | −0.510918 | + | 0.185959i | ||||
\(680\) | −28.6881 | − | 35.3803i | −1.10014 | − | 1.35677i | ||||
\(681\) | −42.5393 | − | 35.6947i | −1.63011 | − | 1.36783i | ||||
\(682\) | −4.70657 | − | 27.5956i | −0.180224 | − | 1.05669i | ||||
\(683\) | 1.72512 | 0.0660100 | 0.0330050 | − | 0.999455i | \(-0.489492\pi\) | ||||
0.0330050 | + | 0.999455i | \(0.489492\pi\) | |||||||
\(684\) | −20.6434 | − | 24.9837i | −0.789321 | − | 0.955275i | ||||
\(685\) | −31.0648 | −1.18693 | ||||||||
\(686\) | −4.43800 | − | 26.0209i | −0.169443 | − | 0.993482i | ||||
\(687\) | −34.9569 | − | 29.3323i | −1.33369 | − | 1.11910i | ||||
\(688\) | 2.34922 | + | 1.42746i | 0.0895632 | + | 0.0544214i | ||||
\(689\) | 27.0676 | − | 9.85181i | 1.03119 | − | 0.375324i | ||||
\(690\) | 29.3038 | − | 50.1052i | 1.11558 | − | 1.90747i | ||||
\(691\) | −14.5248 | + | 8.38589i | −0.552549 | + | 0.319014i | −0.750149 | − | 0.661268i | \(-0.770018\pi\) |
0.197601 | + | 0.980283i | \(0.436685\pi\) | |||||||
\(692\) | −9.03813 | + | 1.48943i | −0.343578 | + | 0.0566197i | ||||
\(693\) | 3.63816 | + | 20.6330i | 0.138202 | + | 0.783784i | ||||
\(694\) | −15.6183 | − | 27.4052i | −0.592864 | − | 1.04029i | ||||
\(695\) | 11.3450 | + | 6.55004i | 0.430340 | + | 0.248457i | ||||
\(696\) | 21.8056 | + | 0.366585i | 0.826539 | + | 0.0138954i | ||||
\(697\) | −5.40828 | − | 6.44534i | −0.204853 | − | 0.244135i | ||||
\(698\) | −12.2761 | − | 14.7977i | −0.464658 | − | 0.560102i | ||||
\(699\) | 28.3567 | + | 10.3210i | 1.07255 | + | 0.390376i | ||||
\(700\) | 0.0837236 | − | 7.47059i | 0.00316445 | − | 0.282362i | ||||
\(701\) | 1.08176 | − | 6.13496i | 0.0408574 | − | 0.231714i | −0.957540 | − | 0.288299i | \(-0.906910\pi\) |
0.998398 | + | 0.0565853i | \(0.0180213\pi\) | |||||||
\(702\) | −8.38222 | + | 2.99780i | −0.316366 | + | 0.113145i | ||||
\(703\) | 0.617165 | + | 3.42724i | 0.0232768 | + | 0.129261i | ||||
\(704\) | 23.9659 | − | 12.7825i | 0.903250 | − | 0.481758i | ||||
\(705\) | 45.2063 | + | 7.97109i | 1.70257 | + | 0.300209i | ||||
\(706\) | −12.3407 | + | 33.3235i | −0.464447 | + | 1.25415i | ||||
\(707\) | −0.0643996 | + | 0.176936i | −0.00242200 | + | 0.00665438i | ||||
\(708\) | −12.7599 | + | 21.5396i | −0.479545 | + | 0.809508i | ||||
\(709\) | 34.9962 | − | 29.3653i | 1.31431 | − | 1.10284i | 0.326829 | − | 0.945083i | \(-0.394020\pi\) |
0.987479 | − | 0.157752i | \(-0.0504247\pi\) | |||||||
\(710\) | −6.16061 | + | 7.25894i | −0.231204 | + | 0.272423i | ||||
\(711\) | −16.9549 | + | 29.3667i | −0.635858 | + | 1.10134i | ||||
\(712\) | 32.8422 | + | 12.5827i | 1.23082 | + | 0.471557i | ||||
\(713\) | 33.7675 | − | 5.95412i | 1.26460 | − | 0.222984i | ||||
\(714\) | −6.51952 | + | 35.7999i | −0.243987 | + | 1.33978i | ||||
\(715\) | 15.4718 | + | 26.7979i | 0.578611 | + | 1.00218i | ||||
\(716\) | 2.59074 | − | 13.7874i | 0.0968203 | − | 0.515261i | ||||
\(717\) | 15.5037 | + | 42.5962i | 0.578998 | + | 1.59078i | ||||
\(718\) | 13.9797 | + | 0.0783336i | 0.521718 | + | 0.00292338i | ||||
\(719\) | 30.0416 | − | 35.8022i | 1.12036 | − | 1.33520i | 0.184499 | − | 0.982833i | \(-0.440934\pi\) |
0.935863 | − | 0.352363i | \(-0.114622\pi\) | |||||||
\(720\) | −37.3093 | − | 14.5344i | −1.39044 | − | 0.541667i | ||||
\(721\) | − | 11.1307i | − | 0.414529i | ||||||
\(722\) | −23.2478 | + | 13.4738i | −0.865192 | + | 0.501441i | ||||
\(723\) | 70.4891i | 2.62152i | ||||||||
\(724\) | 3.97343 | − | 2.23507i | 0.147671 | − | 0.0830656i | ||||
\(725\) | −4.30339 | + | 5.12858i | −0.159824 | + | 0.190471i | ||||
\(726\) | 0.0108333 | − | 1.93336i | 0.000402063 | − | 0.0717537i | ||||
\(727\) | 12.7241 | + | 34.9591i | 0.471910 | + | 1.29656i | 0.916215 | + | 0.400687i | \(0.131229\pi\) |
−0.444305 | + | 0.895876i | \(0.646549\pi\) | |||||||
\(728\) | 15.6938 | − | 2.49601i | 0.581652 | − | 0.0925082i | ||||
\(729\) | 19.0009 | + | 32.9106i | 0.703738 | + | 1.21891i | ||||
\(730\) | −39.2807 | − | 7.15342i | −1.45384 | − | 0.264760i | ||||
\(731\) | 4.04771 | − | 0.713721i | 0.149710 | − | 0.0263979i | ||||
\(732\) | 14.9054 | + | 12.7945i | 0.550921 | + | 0.472899i | ||||
\(733\) | −5.28816 | + | 9.15936i | −0.195323 | + | 0.338309i | −0.947006 | − | 0.321215i | \(-0.895909\pi\) |
0.751684 | + | 0.659524i | \(0.229242\pi\) | |||||||
\(734\) | −34.0084 | − | 28.8627i | −1.25527 | − | 1.06534i | ||||
\(735\) | 22.6926 | − | 19.0414i | 0.837030 | − | 0.702352i | ||||
\(736\) | 15.8208 | + | 29.2664i | 0.583164 | + | 1.07877i | ||||
\(737\) | −11.7964 | + | 32.4104i | −0.434527 | + | 1.19385i | ||||
\(738\) | −6.93582 | − | 2.56854i | −0.255311 | − | 0.0945491i | ||||
\(739\) | 34.7564 | + | 6.12848i | 1.27853 | + | 0.225440i | 0.771357 | − | 0.636402i | \(-0.219578\pi\) |
0.507176 | + | 0.861842i | \(0.330689\pi\) | |||||||
\(740\) | 2.72841 | + | 3.32660i | 0.100298 | + | 0.122288i | ||||
\(741\) | 6.77689 | + | 37.6334i | 0.248955 | + | 1.38250i | ||||
\(742\) | −6.72748 | − | 18.8109i | −0.246974 | − | 0.690570i | ||||
\(743\) | 3.19307 | − | 18.1088i | 0.117142 | − | 0.664348i | −0.868525 | − | 0.495646i | \(-0.834931\pi\) |
0.985667 | − | 0.168702i | \(-0.0539575\pi\) | |||||||
\(744\) | −13.9408 | − | 40.4025i | −0.511094 | − | 1.48123i | ||||
\(745\) | −47.4172 | − | 17.2584i | −1.73723 | − | 0.632301i | ||||
\(746\) | −21.6310 | + | 17.9450i | −0.791967 | + | 0.657012i | ||||
\(747\) | 18.7333 | + | 22.3254i | 0.685415 | + | 0.816845i | ||||
\(748\) | 14.3169 | − | 38.0048i | 0.523479 | − | 1.38959i | ||||
\(749\) | −8.16127 | − | 4.71191i | −0.298206 | − | 0.172169i | ||||
\(750\) | −23.5773 | + | 13.4368i | −0.860922 | + | 0.490642i | ||||
\(751\) | −7.68759 | − | 43.5985i | −0.280524 | − | 1.59093i | −0.720848 | − | 0.693093i | \(-0.756248\pi\) |
0.440324 | − | 0.897839i | \(-0.354863\pi\) | |||||||
\(752\) | −17.3592 | + | 19.7705i | −0.633023 | + | 0.720957i | ||||
\(753\) | −52.1009 | + | 30.0805i | −1.89866 | + | 1.09619i | ||||
\(754\) | −12.2922 | − | 7.18907i | −0.447657 | − | 0.261810i | ||||
\(755\) | 15.4628 | − | 5.62798i | 0.562747 | − | 0.204823i | ||||
\(756\) | 2.04653 | + | 5.82509i | 0.0744316 | + | 0.211857i | ||||
\(757\) | −4.01307 | − | 3.36736i | −0.145857 | − | 0.122389i | 0.566939 | − | 0.823760i | \(-0.308127\pi\) |
−0.712797 | + | 0.701371i | \(0.752572\pi\) | |||||||
\(758\) | −50.8552 | + | 8.67362i | −1.84714 | + | 0.315040i | ||||
\(759\) | 51.7531 | 1.87852 | ||||||||
\(760\) | −16.9760 | + | 28.5286i | −0.615785 | + | 1.03484i | ||||
\(761\) | −35.8399 | −1.29919 | −0.649597 | − | 0.760279i | \(-0.725062\pi\) | ||||
−0.649597 | + | 0.760279i | \(0.725062\pi\) | |||||||
\(762\) | 29.2527 | − | 4.98919i | 1.05971 | − | 0.180739i | ||||
\(763\) | −9.99425 | − | 8.38617i | −0.361816 | − | 0.303600i | ||||
\(764\) | 15.8131 | + | 45.0093i | 0.572098 | + | 1.62838i | ||||
\(765\) | −56.2578 | + | 20.4762i | −2.03401 | + | 0.740318i | ||||
\(766\) | −23.7389 | − | 13.8836i | −0.857723 | − | 0.501636i | ||||
\(767\) | 14.1569 | − | 8.17351i | 0.511178 | − | 0.295128i | ||||
\(768\) | 32.9298 | − | 25.2056i | 1.18825 | − | 0.909527i | ||||
\(769\) | 5.00228 | + | 28.3693i | 0.180387 | + | 1.02302i | 0.931740 | + | 0.363125i | \(0.118290\pi\) |
−0.751354 | + | 0.659900i | \(0.770599\pi\) | |||||||
\(770\) | 18.6456 | − | 10.6262i | 0.671943 | − | 0.382942i | ||||
\(771\) | −20.0625 | − | 11.5831i | −0.722535 | − | 0.417156i | ||||
\(772\) | 11.3993 | − | 30.2597i | 0.410268 | − | 1.08907i | ||||
\(773\) | 1.14807 | + | 1.36822i | 0.0412933 | + | 0.0492114i | 0.786296 | − | 0.617850i | \(-0.211996\pi\) |
−0.745003 | + | 0.667062i | \(0.767552\pi\) | |||||||
\(774\) | 2.78071 | − | 2.30687i | 0.0999507 | − | 0.0829187i | ||||
\(775\) | 12.3292 | + | 4.48746i | 0.442878 | + | 0.161194i | ||||
\(776\) | 22.8208 | − | 7.87427i | 0.819220 | − | 0.282670i | ||||
\(777\) | 0.596843 | − | 3.38486i | 0.0214116 | − | 0.121431i | ||||
\(778\) | 4.58097 | + | 12.8090i | 0.164236 | + | 0.459224i | ||||
\(779\) | −3.04674 | + | 5.32168i | −0.109161 | + | 0.190669i | ||||
\(780\) | 29.9598 | + | 36.5283i | 1.07273 | + | 1.30792i | ||||
\(781\) | −8.35977 | − | 1.47405i | −0.299136 | − | 0.0527458i | ||||
\(782\) | 46.6476 | + | 17.2750i | 1.66811 | + | 0.617751i | ||||
\(783\) | 1.89230 | − | 5.19905i | 0.0676253 | − | 0.185799i | ||||
\(784\) | 2.57284 | + | 16.7826i | 0.0918871 | + | 0.599378i | ||||
\(785\) | −8.06828 | + | 6.77009i | −0.287969 | + | 0.241635i | ||||
\(786\) | −15.0858 | − | 12.8032i | −0.538093 | − | 0.456676i | ||||
\(787\) | −27.7835 | + | 48.1225i | −0.990376 | + | 1.71538i | −0.375327 | + | 0.926892i | \(0.622470\pi\) |
−0.615049 | + | 0.788489i | \(0.710864\pi\) | |||||||
\(788\) | −4.83839 | − | 4.15317i | −0.172361 | − | 0.147951i | ||||
\(789\) | 1.52005 | − | 0.268026i | 0.0541152 | − | 0.00954198i | ||||
\(790\) | 34.1728 | + | 6.22321i | 1.21581 | + | 0.221412i | ||||
\(791\) | 7.98348 | + | 13.8278i | 0.283860 | + | 0.491660i | ||||
\(792\) | −5.60741 | − | 35.2569i | −0.199250 | − | 1.25280i | ||||
\(793\) | −4.38690 | − | 12.0529i | −0.155784 | − | 0.428012i | ||||
\(794\) | 0.00104858 | − | 0.187134i | 3.72129e−5 | − | 0.00664115i | ||||
\(795\) | 38.1767 | − | 45.4972i | 1.35399 | − | 1.61362i | ||||
\(796\) | −19.9052 | + | 11.1968i | −0.705523 | + | 0.396859i | ||||
\(797\) | − | 21.8514i | − | 0.774016i | −0.922076 | − | 0.387008i | \(-0.873509\pi\) | ||
0.922076 | − | 0.387008i | \(-0.126491\pi\) | |||||||
\(798\) | 26.1268 | − | 4.55383i | 0.924878 | − | 0.161204i | ||||
\(799\) | 39.3385i | 1.39170i | ||||||||
\(800\) | −0.356614 | + | 12.7253i | −0.0126082 | + | 0.449909i | ||||
\(801\) | 29.7135 | − | 35.4112i | 1.04987 | − | 1.25119i | ||||
\(802\) | 2.74545 | + | 0.0153838i | 0.0969453 | + | 0.000543221i | ||||
\(803\) | −12.1755 | − | 33.4519i | −0.429663 | − | 1.18049i | ||||
\(804\) | −9.72460 | + | 51.7527i | −0.342960 | + | 1.82518i | ||||
\(805\) | 13.1432 | + | 22.7648i | 0.463239 | + | 0.802353i | ||||
\(806\) | −5.00000 | + | 27.4559i | −0.176117 | + | 0.967092i | ||||
\(807\) | 26.3193 | − | 4.64080i | 0.926482 | − | 0.163364i | ||||
\(808\) | 0.114786 | − | 0.299604i | 0.00403817 | − | 0.0105400i | ||||
\(809\) | −1.75120 | + | 3.03317i | −0.0615690 | + | 0.106641i | −0.895167 | − | 0.445731i | \(-0.852944\pi\) |
0.833598 | + | 0.552372i | \(0.186277\pi\) | |||||||
\(810\) | 15.6034 | − | 18.3853i | 0.548249 | − | 0.645992i | ||||
\(811\) | −10.9054 | + | 9.15072i | −0.382941 | + | 0.321325i | −0.813856 | − | 0.581067i | \(-0.802635\pi\) |
0.430915 | + | 0.902393i | \(0.358191\pi\) | |||||||
\(812\) | −5.03371 | + | 8.49728i | −0.176649 | + | 0.298196i | ||||
\(813\) | 10.4641 | − | 28.7499i | 0.366992 | − | 1.00830i | ||||
\(814\) | −1.33217 | + | 3.59726i | −0.0466925 | + | 0.126084i | ||||
\(815\) | 11.9272 | + | 2.10309i | 0.417793 | + | 0.0736682i | ||||
\(816\) | 12.1328 | − | 60.8060i | 0.424732 | − | 2.12863i | ||||
\(817\) | −1.50719 | − | 2.58876i | −0.0527300 | − | 0.0905693i | ||||
\(818\) | 36.5693 | − | 13.0786i | 1.27862 | − | 0.457281i | ||||
\(819\) | 3.62690 | − | 20.5692i | 0.126734 | − | 0.718745i | ||||
\(820\) | −0.0849007 | + | 7.57562i | −0.00296486 | + | 0.264552i | ||||
\(821\) | 7.20202 | + | 2.62132i | 0.251352 | + | 0.0914847i | 0.464624 | − | 0.885508i | \(-0.346190\pi\) |
−0.213271 | + | 0.976993i | \(0.568412\pi\) | |||||||
\(822\) | −26.9997 | − | 32.5456i | −0.941721 | − | 1.13516i | ||||
\(823\) | 0.679981 | + | 0.810370i | 0.0237027 | + | 0.0282477i | 0.777766 | − | 0.628554i | \(-0.216353\pi\) |
−0.754063 | + | 0.656802i | \(0.771909\pi\) | |||||||
\(824\) | −0.318806 | + | 18.9635i | −0.0111061 | + | 0.660625i | ||||
\(825\) | 17.1502 | + | 9.90164i | 0.597092 | + | 0.344731i | ||||
\(826\) | −5.61368 | − | 9.85024i | −0.195325 | − | 0.342734i | ||||
\(827\) | 4.31460 | + | 24.4693i | 0.150033 | + | 0.850881i | 0.963187 | + | 0.268832i | \(0.0866377\pi\) |
−0.813154 | + | 0.582049i | \(0.802251\pi\) | |||||||
\(828\) | 43.1452 | − | 7.11008i | 1.49940 | − | 0.247092i | ||||
\(829\) | −7.34481 | + | 4.24053i | −0.255096 | + | 0.147280i | −0.622095 | − | 0.782941i | \(-0.713718\pi\) |
0.367000 | + | 0.930221i | \(0.380385\pi\) | |||||||
\(830\) | 15.0711 | − | 25.7693i | 0.523124 | − | 0.894465i | ||||
\(831\) | −68.7319 | + | 25.0164i | −2.38428 | + | 0.867808i | ||||
\(832\) | −26.8093 | + | 3.80298i | −0.929444 | + | 0.131845i | ||||
\(833\) | 19.4471 | + | 16.3181i | 0.673803 | + | 0.565388i | ||||
\(834\) | 2.99813 | + | 17.5787i | 0.103817 | + | 0.608699i | ||||
\(835\) | −42.7405 | −1.47910 | ||||||||
\(836\) | −29.5979 | − | 0.224136i | −1.02367 | − | 0.00775189i | ||||
\(837\) | −10.8428 | −0.374784 | ||||||||
\(838\) | 1.50755 | + | 8.83908i | 0.0520774 | + | 0.305341i | ||||
\(839\) | −6.60696 | − | 5.54389i | −0.228097 | − | 0.191396i | 0.521575 | − | 0.853205i | \(-0.325345\pi\) |
−0.749673 | + | 0.661809i | \(0.769789\pi\) | |||||||
\(840\) | 25.4505 | − | 20.6365i | 0.878124 | − | 0.712027i | ||||
\(841\) | −18.9345 | + | 6.89161i | −0.652915 | + | 0.237642i | ||||
\(842\) | −8.32102 | + | 14.2277i | −0.286761 | + | 0.490320i | ||||
\(843\) | 11.3951 | − | 6.57897i | 0.392468 | − | 0.226592i | ||||
\(844\) | −1.24499 | − | 7.55479i | −0.0428542 | − | 0.260047i | ||||
\(845\) | 0.721830 | + | 4.09370i | 0.0248317 | + | 0.140828i | ||||
\(846\) | 17.1222 | + | 30.0441i | 0.588674 | + | 1.03294i | ||||
\(847\) | 0.758257 | + | 0.437780i | 0.0260540 | + | 0.0150423i | ||||
\(848\) | 10.9229 | + | 32.2411i | 0.375095 | + | 1.10716i | ||||
\(849\) | −7.46632 | − | 8.89801i | −0.256243 | − | 0.305379i | ||||
\(850\) | 12.1531 | + | 14.6495i | 0.416850 | + | 0.502473i | ||||
\(851\) | −4.41516 | − | 1.60699i | −0.151350 | − | 0.0550868i | ||||
\(852\) | −12.9594 | − | 0.145237i | −0.443981 | − | 0.00497574i | ||||
\(853\) | 1.20460 | − | 6.83164i | 0.0412448 | − | 0.233911i | −0.957216 | − | 0.289375i | \(-0.906553\pi\) |
0.998461 | + | 0.0554639i | \(0.0176638\pi\) | |||||||
\(854\) | −8.37629 | + | 2.99567i | −0.286631 | + | 0.102510i | ||||
\(855\) | 28.1681 | + | 33.3227i | 0.963328 | + | 1.13961i | ||||
\(856\) | 13.7695 | + | 8.26150i | 0.470632 | + | 0.282372i | ||||
\(857\) | −9.28874 | − | 1.63785i | −0.317297 | − | 0.0559481i | 0.0127315 | − | 0.999919i | \(-0.495947\pi\) |
−0.330029 | + | 0.943971i | \(0.607058\pi\) | |||||||
\(858\) | −14.6281 | + | 39.5003i | −0.499396 | + | 1.34852i | ||||
\(859\) | −2.83749 | + | 7.79595i | −0.0968140 | + | 0.265994i | −0.978640 | − | 0.205580i | \(-0.934092\pi\) |
0.881826 | + | 0.471574i | \(0.156314\pi\) | |||||||
\(860\) | −3.18417 | − | 1.88627i | −0.108579 | − | 0.0643213i | ||||
\(861\) | 4.63639 | − | 3.89040i | 0.158008 | − | 0.132584i | ||||
\(862\) | −20.4296 | + | 24.0718i | −0.695834 | + | 0.819889i | ||||
\(863\) | 11.3225 | − | 19.6112i | 0.385423 | − | 0.667573i | −0.606405 | − | 0.795156i | \(-0.707389\pi\) |
0.991828 | + | 0.127584i | \(0.0407221\pi\) | |||||||
\(864\) | −3.31986 | − | 9.98291i | −0.112944 | − | 0.339625i | ||||
\(865\) | 12.1451 | − | 2.14151i | 0.412945 | − | 0.0728134i | ||||
\(866\) | 4.85574 | − | 26.6637i | 0.165005 | − | 0.906071i | ||||
\(867\) | −24.3240 | − | 42.1304i | −0.826087 | − | 1.43082i | ||||
\(868\) | 19.0224 | + | 3.57442i | 0.645664 | + | 0.121324i | ||||
\(869\) | 10.5922 | + | 29.1019i | 0.359316 | + | 0.987213i | ||||
\(870\) | −29.3612 | − | 0.164522i | −0.995439 | − | 0.00557782i | ||||
\(871\) | 22.1014 | − | 26.3395i | 0.748878 | − | 0.892478i | ||||
\(872\) | 16.7871 | + | 14.5739i | 0.568484 | + | 0.493534i | ||||
\(873\) | − | 31.7300i | − | 1.07390i | ||||||
\(874\) | 0.0713918 | − | 36.2539i | 0.00241486 | − | 1.22631i | ||||
\(875\) | − | 12.2895i | − | 0.415461i | ||||||
\(876\) | −26.6460 | − | 47.3704i | −0.900286 | − | 1.60050i | ||||
\(877\) | 12.8658 | − | 15.3329i | 0.434448 | − | 0.517755i | −0.503752 | − | 0.863848i | \(-0.668048\pi\) |
0.938200 | + | 0.346094i | \(0.112492\pi\) | |||||||
\(878\) | −0.0291285 | + | 5.19838i | −0.000983038 | + | 0.175437i | ||||
\(879\) | −20.2092 | − | 55.5242i | −0.681638 | − | 1.87279i | ||||
\(880\) | −32.0712 | + | 17.5700i | −1.08112 | + | 0.592284i | ||||
\(881\) | −2.29906 | − | 3.98208i | −0.0774572 | − | 0.134160i | 0.824695 | − | 0.565578i | \(-0.191347\pi\) |
−0.902152 | + | 0.431418i | \(0.858013\pi\) | |||||||
\(882\) | 21.9549 | + | 3.99821i | 0.739259 | + | 0.134627i | ||||
\(883\) | −24.2556 | + | 4.27692i | −0.816266 | + | 0.143930i | −0.566167 | − | 0.824291i | \(-0.691574\pi\) |
−0.250099 | + | 0.968220i | \(0.580463\pi\) | |||||||
\(884\) | −26.3701 | + | 30.7208i | −0.886922 | + | 1.03325i | ||||
\(885\) | 16.8529 | − | 29.1901i | 0.566505 | − | 0.981215i | ||||
\(886\) | 24.1813 | + | 20.5225i | 0.812387 | + | 0.689467i | ||||
\(887\) | −34.9136 | + | 29.2960i | −1.17229 | + | 0.983664i | −0.999999 | − | 0.00138259i | \(-0.999560\pi\) |
−0.172286 | + | 0.985047i | \(0.555115\pi\) | |||||||
\(888\) | −1.11380 | + | 5.74974i | −0.0373766 | + | 0.192949i | ||||
\(889\) | −4.59632 | + | 12.6283i | −0.154156 | + | 0.423539i | ||||
\(890\) | −44.4036 | − | 16.4439i | −1.48841 | − | 0.551202i | ||||
\(891\) | 21.1734 | + | 3.73344i | 0.709336 | + | 0.125075i | ||||
\(892\) | 36.7978 | − | 30.1808i | 1.23208 | − | 1.01053i | ||||
\(893\) | 26.9057 | − | 9.90377i | 0.900366 | − | 0.331417i | ||||
\(894\) | −23.1311 | − | 64.6774i | −0.773619 | − | 2.16314i | ||||
\(895\) | −3.27975 | + | 18.6004i | −0.109630 | + | 0.621742i | ||||
\(896\) | 2.53335 | + | 18.6082i | 0.0846333 | + | 0.621656i | ||||
\(897\) | −48.4815 | − | 17.6458i | −1.61875 | − | 0.589177i | ||||
\(898\) | 40.9272 | − | 33.9531i | 1.36576 | − | 1.13303i | ||||
\(899\) | −11.1489 | − | 13.2867i | −0.371835 | − | 0.443136i | ||||
\(900\) | 15.6580 | + | 5.89857i | 0.521932 | + | 0.196619i | ||||
\(901\) | 44.0791 | + | 25.4491i | 1.46849 | + | 0.847831i | ||||
\(902\) | −5.86870 | + | 3.34459i | −0.195406 | + | 0.111363i | ||||
\(903\) | 0.513408 | + | 2.91168i | 0.0170852 | + | 0.0968947i | ||||
\(904\) | −13.2055 | − | 23.7872i | −0.439208 | − | 0.791152i | ||||
\(905\) | −5.31549 | + | 3.06890i | −0.176693 | + | 0.102014i | ||||
\(906\) | 19.3355 | + | 11.3083i | 0.642380 | + | 0.375693i | ||||
\(907\) | 5.54925 | − | 2.01976i | 0.184260 | − | 0.0670651i | −0.248242 | − | 0.968698i | \(-0.579853\pi\) |
0.432502 | + | 0.901633i | \(0.357631\pi\) | |||||||
\(908\) | −40.4285 | + | 14.2037i | −1.34167 | + | 0.471368i | ||||
\(909\) | −0.323039 | − | 0.271062i | −0.0107145 | − | 0.00899057i | ||||
\(910\) | −21.0901 | + | 3.59702i | −0.699130 | + | 0.119240i | ||||
\(911\) | −19.1178 | −0.633401 | −0.316700 | − | 0.948526i | \(-0.602575\pi\) | ||||
−0.316700 | + | 0.948526i | \(0.602575\pi\) | |||||||
\(912\) | −44.6430 | + | 7.01009i | −1.47828 | + | 0.232127i | ||||
\(913\) | 26.6168 | 0.880888 | ||||||||
\(914\) | −56.6670 | + | 9.66484i | −1.87438 | + | 0.319684i | ||||
\(915\) | −20.2594 | − | 16.9997i | −0.669756 | − | 0.561992i | ||||
\(916\) | −33.2223 | + | 11.6720i | −1.09770 | + | 0.385653i | ||||
\(917\) | 8.42017 | − | 3.06469i | 0.278059 | − | 0.101205i | ||||
\(918\) | −13.5784 | − | 7.94128i | −0.448155 | − | 0.262101i | ||||
\(919\) | −31.2360 | + | 18.0341i | −1.03038 | + | 0.594890i | −0.917093 | − | 0.398673i | \(-0.869471\pi\) |
−0.113286 | + | 0.993562i | \(0.536138\pi\) | |||||||
\(920\) | −21.7403 | − | 39.1611i | −0.716756 | − | 1.29110i | ||||
\(921\) | −15.2652 | − | 86.5734i | −0.503006 | − | 2.85269i | ||||
\(922\) | 36.4740 | − | 20.7866i | 1.20121 | − | 0.684571i | ||||
\(923\) | 7.32871 | + | 4.23123i | 0.241227 | + | 0.139273i | ||||
\(924\) | 27.3384 | + | 10.2988i | 0.899367 | + | 0.338804i | ||||
\(925\) | −1.15566 | − | 1.37726i | −0.0379978 | − | 0.0452840i | ||||
\(926\) | 20.1775 | − | 16.7392i | 0.663074 | − | 0.550083i | ||||
\(927\) | 23.4249 | + | 8.52597i | 0.769375 | + | 0.280030i | ||||
\(928\) | 8.81937 | − | 14.3328i | 0.289510 | − | 0.470496i | ||||
\(929\) | −2.58424 | + | 14.6560i | −0.0847862 | + | 0.480846i | 0.912616 | + | 0.408817i | \(0.134059\pi\) |
−0.997403 | + | 0.0720292i | \(0.977053\pi\) | |||||||
\(930\) | 19.3773 | + | 54.1814i | 0.635406 | + | 1.77668i | ||||
\(931\) | 6.26485 | − | 17.4091i | 0.205322 | − | 0.570561i | ||||
\(932\) | 18.0047 | − | 14.7671i | 0.589764 | − | 0.483713i | ||||
\(933\) | 46.1394 | + | 8.13562i | 1.51054 | + | 0.266348i | ||||
\(934\) | −34.3296 | − | 12.7133i | −1.12330 | − | 0.415990i | ||||
\(935\) | −18.7007 | + | 51.3799i | −0.611580 | + | 1.68030i | ||||
\(936\) | −6.76834 | + | 34.9401i | −0.221230 | + | 1.14205i | ||||
\(937\) | 24.7907 | − | 20.8019i | 0.809877 | − | 0.679568i | −0.140701 | − | 0.990052i | \(-0.544936\pi\) |
0.950579 | + | 0.310484i | \(0.100491\pi\) | |||||||
\(938\) | −18.1817 | − | 15.4307i | −0.593654 | − | 0.503830i | ||||
\(939\) | −0.752635 | + | 1.30360i | −0.0245613 | + | 0.0425414i | ||||
\(940\) | 23.0714 | − | 26.8779i | 0.752506 | − | 0.876660i | ||||
\(941\) | −22.0071 | + | 3.88045i | −0.717411 | + | 0.126499i | −0.520425 | − | 0.853907i | \(-0.674226\pi\) |
−0.196986 | + | 0.980406i | \(0.563115\pi\) | |||||||
\(942\) | −14.1053 | − | 2.56871i | −0.459574 | − | 0.0836932i | ||||
\(943\) | −4.13683 | − | 7.16519i | −0.134714 | − | 0.233331i | ||||
\(944\) | 9.28197 | + | 16.9428i | 0.302102 | + | 0.551440i | ||||
\(945\) | −2.84302 | − | 7.81114i | −0.0924835 | − | 0.254096i | ||||
\(946\) | 0.0184895 | − | 3.29970i | 0.000601145 | − | 0.107283i | ||||
\(947\) | −35.4036 | + | 42.1924i | −1.15046 | + | 1.37107i | −0.233374 | + | 0.972387i | \(0.574977\pi\) |
−0.917089 | + | 0.398682i | \(0.869468\pi\) | |||||||
\(948\) | 23.1811 | + | 41.2105i | 0.752886 | + | 1.33846i | ||||
\(949\) | 35.4885i | 1.15201i | ||||||||
\(950\) | 6.95992 | − | 12.0003i | 0.225810 | − | 0.389341i | ||||
\(951\) | − | 1.99951i | − | 0.0648386i | ||||||
\(952\) | 21.2038 | + | 18.4082i | 0.687218 | + | 0.596614i | ||||
\(953\) | −4.51618 | + | 5.38217i | −0.146293 | + | 0.174346i | −0.834215 | − | 0.551439i | \(-0.814079\pi\) |
0.687922 | + | 0.725785i | \(0.258523\pi\) | |||||||
\(954\) | 44.7413 | + | 0.250702i | 1.44855 | + | 0.00811679i | ||||
\(955\) | −21.9674 | − | 60.3550i | −0.710849 | − | 1.95304i | ||||
\(956\) | 34.3775 | + | 6.45972i | 1.11185 | + | 0.208922i | ||||
\(957\) | −13.0894 | − | 22.6716i | −0.423122 | − | 0.732868i | ||||
\(958\) | −0.110499 | + | 0.606771i | −0.00357007 | + | 0.0196039i | ||||
\(959\) | 18.8593 | − | 3.32540i | 0.608998 | − | 0.107383i | ||||
\(960\) | −43.9514 | + | 34.4297i | −1.41852 | + | 1.11121i | ||||
\(961\) | −1.49565 | + | 2.59055i | −0.0482469 | + | 0.0835661i | ||||
\(962\) | 2.47448 | − | 2.91564i | 0.0797804 | − | 0.0940039i | ||||
\(963\) | 16.1678 | − | 13.5664i | 0.521000 | − | 0.437171i | ||||
\(964\) | 46.7984 | + | 27.7229i | 1.50727 | + | 0.892895i | ||||
\(965\) | −14.8897 | + | 40.9090i | −0.479315 | + | 1.31691i | ||||
\(966\) | −12.4266 | + | 33.5555i | −0.399818 | + | 1.07963i | ||||
\(967\) | 33.5782 | + | 5.92074i | 1.07980 | + | 0.190398i | 0.685127 | − | 0.728423i | \(-0.259747\pi\) |
0.394674 | + | 0.918821i | \(0.370858\pi\) | |||||||
\(968\) | −1.27931 | − | 0.767570i | −0.0411187 | − | 0.0246706i | ||||
\(969\) | −43.2434 | + | 51.9175i | −1.38918 | + | 1.66783i | ||||
\(970\) | −30.6037 | + | 10.9450i | −0.982624 | + | 0.351423i | ||||
\(971\) | 0.272182 | − | 1.54362i | 0.00873472 | − | 0.0495371i | −0.980129 | − | 0.198362i | \(-0.936438\pi\) |
0.988864 | + | 0.148825i | \(0.0475490\pi\) | |||||||
\(972\) | 43.9811 | + | 0.492901i | 1.41069 | + | 0.0158098i | ||||
\(973\) | −7.58866 | − | 2.76205i | −0.243281 | − | 0.0885471i | ||||
\(974\) | 4.83161 | + | 5.82405i | 0.154815 | + | 0.186615i | ||||
\(975\) | −12.6899 | − | 15.1232i | −0.406402 | − | 0.484332i | ||||
\(976\) | 14.3566 | − | 4.86386i | 0.459543 | − | 0.155688i | ||||
\(977\) | −15.5733 | − | 8.99124i | −0.498233 | − | 0.287655i | 0.229750 | − | 0.973250i | \(-0.426209\pi\) |
−0.727984 | + | 0.685594i | \(0.759542\pi\) | |||||||
\(978\) | 8.16310 | + | 14.3237i | 0.261027 | + | 0.458020i | ||||
\(979\) | −7.33105 | − | 41.5765i | −0.234301 | − | 1.32879i | ||||
\(980\) | −3.71688 | − | 22.5547i | −0.118731 | − | 0.720483i | ||||
\(981\) | 25.3044 | − | 14.6095i | 0.807909 | − | 0.466446i | ||||
\(982\) | 19.0966 | − | 32.6523i | 0.609396 | − | 1.04198i | ||||
\(983\) | −47.5857 | + | 17.3198i | −1.51775 | + | 0.552415i | −0.960584 | − | 0.277988i | \(-0.910332\pi\) |
−0.557163 | + | 0.830403i | \(0.688110\pi\) | |||||||
\(984\) | −8.01051 | + | 6.49532i | −0.255366 | + | 0.207063i | ||||
\(985\) | 6.57633 | + | 5.51820i | 0.209539 | + | 0.175824i | ||||
\(986\) | −4.23049 | − | 24.8042i | −0.134726 | − | 0.789927i | ||||
\(987\) | −28.2978 | −0.900729 | ||||||||
\(988\) | 27.6505 | + | 10.3017i | 0.879678 | + | 0.327742i | ||||
\(989\) | 4.04170 | 0.128518 | ||||||||
\(990\) | 8.08089 | + | 47.3799i | 0.256828 | + | 1.50583i | ||||
\(991\) | 3.54873 | + | 2.97774i | 0.112729 | + | 0.0945911i | 0.697410 | − | 0.716672i | \(-0.254336\pi\) |
−0.584681 | + | 0.811264i | \(0.698780\pi\) | |||||||
\(992\) | −32.3064 | − | 6.63463i | −1.02573 | − | 0.210650i | ||||
\(993\) | 56.2686 | − | 20.4801i | 1.78563 | − | 0.649916i | ||||
\(994\) | 2.96303 | − | 5.06634i | 0.0939816 | − | 0.160695i | ||||
\(995\) | 26.6284 | − | 15.3739i | 0.844178 | − | 0.487386i | ||||
\(996\) | 40.0965 | − | 6.60767i | 1.27051 | − | 0.209372i | ||||
\(997\) | 8.73220 | + | 49.5228i | 0.276551 | + | 1.56840i | 0.733990 | + | 0.679160i | \(0.237656\pi\) |
−0.457439 | + | 0.889241i | \(0.651233\pi\) | |||||||
\(998\) | 3.16033 | + | 5.54538i | 0.100039 | + | 0.175536i | ||||
\(999\) | 1.28673 | + | 0.742893i | 0.0407103 | + | 0.0235041i |
(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 | 76.2.k.a.59.1 | ✓ | 48 | |
3.2 | odd | 2 | 684.2.cf.a.667.8 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.59.2 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.667.7 | 48 | |||
19.10 | odd | 18 | inner | 76.2.k.a.67.2 | yes | 48 | |
57.29 | even | 18 | 684.2.cf.a.523.7 | 48 | |||
76.67 | even | 18 | inner | 76.2.k.a.67.1 | yes | 48 | |
228.143 | odd | 18 | 684.2.cf.a.523.8 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.59.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.59.2 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.67.1 | yes | 48 | 76.67 | even | 18 | inner | |
76.2.k.a.67.2 | yes | 48 | 19.10 | odd | 18 | inner | |
684.2.cf.a.523.7 | 48 | 57.29 | even | 18 | |||
684.2.cf.a.523.8 | 48 | 228.143 | odd | 18 | |||
684.2.cf.a.667.7 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.667.8 | 48 | 3.2 | odd | 2 |