Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,2,Mod(5,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 152.t (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: | \(1.21372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.14 | ||
Character | \(\chi\) | \(=\) | 152.101 |
Dual form | 152.2.t.a.149.14 |
$q$-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 \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).
\(n\) | \(39\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.838546 | − | 1.13879i | 0.592941 | − | 0.805246i | ||||
\(3\) | 0.492216 | − | 1.35235i | 0.284181 | − | 0.780781i | −0.712671 | − | 0.701498i | \(-0.752515\pi\) |
0.996852 | − | 0.0792827i | \(-0.0252630\pi\) | |||||||
\(4\) | −0.593683 | − | 1.90985i | −0.296841 | − | 0.954927i | ||||
\(5\) | −1.00933 | + | 0.177973i | −0.451388 | + | 0.0795919i | −0.394721 | − | 0.918801i | \(-0.629159\pi\) |
−0.0566676 | + | 0.998393i | \(0.518048\pi\) | |||||||
\(6\) | −1.12730 | − | 1.69454i | −0.460218 | − | 0.691793i | ||||
\(7\) | −0.260531 | + | 0.451253i | −0.0984714 | + | 0.170558i | −0.911052 | − | 0.412291i | \(-0.864729\pi\) |
0.812581 | + | 0.582849i | \(0.198062\pi\) | |||||||
\(8\) | −2.67275 | − | 0.925420i | −0.944960 | − | 0.327185i | ||||
\(9\) | 0.711553 | + | 0.597064i | 0.237184 | + | 0.199021i | ||||
\(10\) | −0.643700 | + | 1.29866i | −0.203556 | + | 0.410672i | ||||
\(11\) | 1.98574 | − | 1.14647i | 0.598724 | − | 0.345674i | −0.169815 | − | 0.985476i | \(-0.554317\pi\) |
0.768539 | + | 0.639802i | \(0.220984\pi\) | |||||||
\(12\) | −2.87502 | − | 0.137192i | −0.829945 | − | 0.0396040i | ||||
\(13\) | 0.924810 | + | 2.54089i | 0.256496 | + | 0.704717i | 0.999377 | + | 0.0352935i | \(0.0112366\pi\) |
−0.742881 | + | 0.669424i | \(0.766541\pi\) | |||||||
\(14\) | 0.295415 | + | 0.675086i | 0.0789529 | + | 0.180424i | ||||
\(15\) | −0.256129 | + | 1.45258i | −0.0661321 | + | 0.375054i | ||||
\(16\) | −3.29508 | + | 2.26769i | −0.823770 | + | 0.566924i | ||||
\(17\) | −0.437430 | + | 0.367047i | −0.106092 | + | 0.0890220i | −0.694291 | − | 0.719695i | \(-0.744282\pi\) |
0.588198 | + | 0.808717i | \(0.299837\pi\) | |||||||
\(18\) | 1.27660 | − | 0.309644i | 0.300897 | − | 0.0729837i | ||||
\(19\) | 4.23726 | − | 1.02258i | 0.972093 | − | 0.234596i | ||||
\(20\) | 0.939127 | + | 1.82202i | 0.209995 | + | 0.407417i | ||||
\(21\) | 0.482015 | + | 0.574443i | 0.105184 | + | 0.125354i | ||||
\(22\) | 0.359549 | − | 3.22271i | 0.0766561 | − | 0.687084i | ||||
\(23\) | 0.306396 | − | 1.73766i | 0.0638879 | − | 0.362326i | −0.936057 | − | 0.351848i | \(-0.885553\pi\) |
0.999945 | − | 0.0104784i | \(-0.00333543\pi\) | |||||||
\(24\) | −2.56706 | + | 3.15899i | −0.524000 | + | 0.644827i | ||||
\(25\) | −3.71138 | + | 1.35083i | −0.742276 | + | 0.270166i | ||||
\(26\) | 3.66904 | + | 1.07749i | 0.719557 | + | 0.211313i | ||||
\(27\) | 4.89668 | − | 2.82710i | 0.942367 | − | 0.544076i | ||||
\(28\) | 1.01650 | + | 0.229675i | 0.192100 | + | 0.0434045i | ||||
\(29\) | −1.27579 | + | 1.52043i | −0.236909 | + | 0.282337i | −0.871379 | − | 0.490610i | \(-0.836774\pi\) |
0.634470 | + | 0.772947i | \(0.281218\pi\) | |||||||
\(30\) | 1.43940 | + | 1.50973i | 0.262798 | + | 0.275638i | ||||
\(31\) | −1.00132 | + | 1.73434i | −0.179842 | + | 0.311496i | −0.941826 | − | 0.336100i | \(-0.890892\pi\) |
0.761984 | + | 0.647596i | \(0.224225\pi\) | |||||||
\(32\) | −0.180650 | + | 5.65397i | −0.0319347 | + | 0.999490i | ||||
\(33\) | −0.573016 | − | 3.24974i | −0.0997493 | − | 0.565706i | ||||
\(34\) | 0.0511846 | + | 0.805926i | 0.00877809 | + | 0.138215i | ||||
\(35\) | 0.182652 | − | 0.501833i | 0.0308738 | − | 0.0848252i | ||||
\(36\) | 0.717868 | − | 1.71343i | 0.119645 | − | 0.285571i | ||||
\(37\) | 4.32841i | 0.711586i | 0.934565 | + | 0.355793i | \(0.115789\pi\) | ||||
−0.934565 | + | 0.355793i | \(0.884211\pi\) | |||||||
\(38\) | 2.38863 | − | 5.68282i | 0.387487 | − | 0.921875i | ||||
\(39\) | 3.89139 | 0.623121 | ||||||||
\(40\) | 2.86240 | + | 0.458381i | 0.452585 | + | 0.0724764i | ||||
\(41\) | −4.47491 | − | 1.62873i | −0.698864 | − | 0.254366i | −0.0319381 | − | 0.999490i | \(-0.510168\pi\) |
−0.666926 | + | 0.745124i | \(0.732390\pi\) | |||||||
\(42\) | 1.05836 | − | 0.0672169i | 0.163309 | − | 0.0103718i | ||||
\(43\) | −4.71203 | + | 0.830857i | −0.718577 | + | 0.126705i | −0.520968 | − | 0.853576i | \(-0.674429\pi\) |
−0.197609 | + | 0.980281i | \(0.563318\pi\) | |||||||
\(44\) | −3.36849 | − | 3.11184i | −0.507819 | − | 0.469128i | ||||
\(45\) | −0.824456 | − | 0.476000i | −0.122903 | − | 0.0709579i | ||||
\(46\) | −1.72190 | − | 1.80602i | −0.253880 | − | 0.266284i | ||||
\(47\) | 6.56946 | + | 5.51243i | 0.958255 | + | 0.804071i | 0.980668 | − | 0.195678i | \(-0.0626906\pi\) |
−0.0224135 | + | 0.999749i | \(0.507135\pi\) | |||||||
\(48\) | 1.44483 | + | 5.57231i | 0.208543 | + | 0.804293i | ||||
\(49\) | 3.36425 | + | 5.82705i | 0.480607 | + | 0.832435i | ||||
\(50\) | −1.57385 | + | 5.35922i | −0.222576 | + | 0.757907i | ||||
\(51\) | 0.281067 | + | 0.772226i | 0.0393573 | + | 0.108133i | ||||
\(52\) | 4.30369 | − | 3.27474i | 0.596815 | − | 0.454124i | ||||
\(53\) | −14.1964 | − | 2.50321i | −1.95003 | − | 0.343842i | −0.999443 | − | 0.0333730i | \(-0.989375\pi\) |
−0.950583 | − | 0.310469i | \(-0.899514\pi\) | |||||||
\(54\) | 0.886619 | − | 7.94694i | 0.120654 | − | 1.08144i | ||||
\(55\) | −1.80024 | + | 1.51058i | −0.242744 | + | 0.203687i | ||||
\(56\) | 1.11393 | − | 0.964986i | 0.148855 | − | 0.128952i | ||||
\(57\) | 0.702759 | − | 6.23359i | 0.0930827 | − | 0.825659i | ||||
\(58\) | 0.661640 | + | 2.72781i | 0.0868775 | + | 0.358179i | ||||
\(59\) | −3.56636 | − | 4.25022i | −0.464300 | − | 0.553332i | 0.482189 | − | 0.876067i | \(-0.339842\pi\) |
−0.946489 | + | 0.322736i | \(0.895397\pi\) | |||||||
\(60\) | 2.92627 | − | 0.373202i | 0.377780 | − | 0.0481802i | ||||
\(61\) | 5.35014 | + | 0.943373i | 0.685015 | + | 0.120787i | 0.505315 | − | 0.862935i | \(-0.331376\pi\) |
0.179700 | + | 0.983722i | \(0.442487\pi\) | |||||||
\(62\) | 1.13539 | + | 2.59461i | 0.144195 | + | 0.329516i | ||||
\(63\) | −0.454808 | + | 0.165537i | −0.0573005 | + | 0.0208557i | ||||
\(64\) | 6.28720 | + | 4.94683i | 0.785900 | + | 0.618354i | ||||
\(65\) | −1.38565 | − | 2.40002i | −0.171869 | − | 0.297686i | ||||
\(66\) | −4.18126 | − | 2.07251i | −0.514678 | − | 0.255108i | ||||
\(67\) | −4.72759 | + | 5.63412i | −0.577567 | + | 0.688318i | −0.973166 | − | 0.230106i | \(-0.926093\pi\) |
0.395598 | + | 0.918424i | \(0.370537\pi\) | |||||||
\(68\) | 0.960701 | + | 0.617517i | 0.116502 | + | 0.0748850i | ||||
\(69\) | −2.19911 | − | 1.26966i | −0.264742 | − | 0.152849i | ||||
\(70\) | −0.418320 | − | 0.628812i | −0.0499987 | − | 0.0751574i | ||||
\(71\) | −2.67595 | − | 15.1760i | −0.317576 | − | 1.80106i | −0.557396 | − | 0.830247i | \(-0.688199\pi\) |
0.239819 | − | 0.970818i | \(-0.422912\pi\) | |||||||
\(72\) | −1.34927 | − | 2.25429i | −0.159013 | − | 0.265670i | ||||
\(73\) | 2.39814 | + | 0.872853i | 0.280681 | + | 0.102160i | 0.478525 | − | 0.878074i | \(-0.341172\pi\) |
−0.197844 | + | 0.980234i | \(0.563394\pi\) | |||||||
\(74\) | 4.92915 | + | 3.62957i | 0.573002 | + | 0.421929i | ||||
\(75\) | 5.68400i | 0.656331i | ||||||||
\(76\) | −4.46856 | − | 7.48545i | −0.512579 | − | 0.858640i | ||||
\(77\) | 1.19476i | 0.136156i | ||||||||
\(78\) | 3.26311 | − | 4.43147i | 0.369474 | − | 0.501766i | ||||
\(79\) | −7.22701 | − | 2.63042i | −0.813102 | − | 0.295945i | −0.0981976 | − | 0.995167i | \(-0.531308\pi\) |
−0.714905 | + | 0.699222i | \(0.753530\pi\) | |||||||
\(80\) | 2.92225 | − | 2.87530i | 0.326718 | − | 0.321468i | ||||
\(81\) | −0.929123 | − | 5.26932i | −0.103236 | − | 0.585480i | ||||
\(82\) | −5.60720 | + | 3.73021i | −0.619212 | + | 0.411933i | ||||
\(83\) | −9.76780 | − | 5.63944i | −1.07216 | − | 0.619009i | −0.143386 | − | 0.989667i | \(-0.545799\pi\) |
−0.928770 | + | 0.370658i | \(0.879132\pi\) | |||||||
\(84\) | 0.810939 | − | 1.26162i | 0.0884807 | − | 0.137654i | ||||
\(85\) | 0.376189 | − | 0.448324i | 0.0408034 | − | 0.0486276i | ||||
\(86\) | −3.00508 | + | 6.06272i | −0.324046 | + | 0.653759i | ||||
\(87\) | 1.42819 | + | 2.47370i | 0.153118 | + | 0.265208i | ||||
\(88\) | −6.36836 | + | 1.22658i | −0.678870 | + | 0.130754i | ||||
\(89\) | 9.40943 | − | 3.42475i | 0.997397 | − | 0.363023i | 0.208817 | − | 0.977955i | \(-0.433039\pi\) |
0.788580 | + | 0.614932i | \(0.210816\pi\) | |||||||
\(90\) | −1.23341 | + | 0.539734i | −0.130013 | + | 0.0568930i | ||||
\(91\) | −1.38753 | − | 0.244658i | −0.145452 | − | 0.0256472i | ||||
\(92\) | −3.50057 | + | 0.446445i | −0.364960 | + | 0.0465451i | ||||
\(93\) | 1.85257 | + | 2.20781i | 0.192102 | + | 0.228939i | ||||
\(94\) | 11.7863 | − | 2.85881i | 1.21566 | − | 0.294864i | ||||
\(95\) | −4.09482 | + | 1.78624i | −0.420120 | + | 0.183264i | ||||
\(96\) | 7.55724 | + | 3.02728i | 0.771308 | + | 0.308970i | ||||
\(97\) | −7.69077 | + | 6.45332i | −0.780879 | + | 0.655235i | −0.943470 | − | 0.331458i | \(-0.892459\pi\) |
0.162591 | + | 0.986694i | \(0.448015\pi\) | |||||||
\(98\) | 9.45685 | + | 1.05508i | 0.955287 | + | 0.106579i | ||||
\(99\) | 2.09748 | + | 0.369842i | 0.210804 | + | 0.0371705i | ||||
\(100\) | 4.78327 | + | 6.28623i | 0.478327 | + | 0.628623i | ||||
\(101\) | −5.68012 | − | 15.6060i | −0.565193 | − | 1.55285i | −0.811920 | − | 0.583769i | \(-0.801577\pi\) |
0.246727 | − | 0.969085i | \(-0.420645\pi\) | |||||||
\(102\) | 1.11509 | + | 0.327470i | 0.110410 | + | 0.0324244i | ||||
\(103\) | −4.23834 | − | 7.34102i | −0.417616 | − | 0.723333i | 0.578083 | − | 0.815978i | \(-0.303801\pi\) |
−0.995699 | + | 0.0926455i | \(0.970468\pi\) | |||||||
\(104\) | −0.120393 | − | 7.64701i | −0.0118055 | − | 0.749851i | ||||
\(105\) | −0.588750 | − | 0.494020i | −0.0574561 | − | 0.0482114i | ||||
\(106\) | −14.7550 | + | 14.0677i | −1.43313 | + | 1.36637i | ||||
\(107\) | −0.906349 | − | 0.523281i | −0.0876200 | − | 0.0505875i | 0.455550 | − | 0.890210i | \(-0.349443\pi\) |
−0.543170 | + | 0.839623i | \(0.682776\pi\) | |||||||
\(108\) | −8.30642 | − | 7.67355i | −0.799286 | − | 0.738387i | ||||
\(109\) | 15.6636 | − | 2.76191i | 1.50030 | − | 0.264543i | 0.637642 | − | 0.770333i | \(-0.279910\pi\) |
0.862657 | + | 0.505790i | \(0.168799\pi\) | |||||||
\(110\) | 0.210650 | + | 3.31678i | 0.0200847 | + | 0.316243i | ||||
\(111\) | 5.85354 | + | 2.13051i | 0.555593 | + | 0.202219i | ||||
\(112\) | −0.164833 | − | 2.07772i | −0.0155752 | − | 0.196326i | ||||
\(113\) | 14.5575 | 1.36946 | 0.684728 | − | 0.728799i | \(-0.259921\pi\) | ||||
0.684728 | + | 0.728799i | \(0.259921\pi\) | |||||||
\(114\) | −6.50945 | − | 6.02745i | −0.609666 | − | 0.564522i | ||||
\(115\) | 1.80841i | 0.168635i | ||||||||
\(116\) | 3.66121 | + | 1.53392i | 0.339935 | + | 0.142421i | ||||
\(117\) | −0.859025 | + | 2.36015i | −0.0794169 | + | 0.218196i | ||||
\(118\) | −7.83066 | + | 0.497328i | −0.720871 | + | 0.0457827i | ||||
\(119\) | −0.0516671 | − | 0.293019i | −0.00473631 | − | 0.0268610i | ||||
\(120\) | 2.02881 | − | 3.64535i | 0.185204 | − | 0.332774i | ||||
\(121\) | −2.87122 | + | 4.97309i | −0.261020 | + | 0.452099i | ||||
\(122\) | 5.56064 | − | 5.30162i | 0.503436 | − | 0.479986i | ||||
\(123\) | −4.40525 | + | 5.24997i | −0.397208 | + | 0.473374i | ||||
\(124\) | 3.90680 | + | 0.882729i | 0.350841 | + | 0.0792714i | ||||
\(125\) | 7.94359 | − | 4.58623i | 0.710496 | − | 0.410205i | ||||
\(126\) | −0.192866 | + | 0.656741i | −0.0171819 | + | 0.0585071i | ||||
\(127\) | 6.88602 | − | 2.50631i | 0.611036 | − | 0.222399i | −0.0179207 | − | 0.999839i | \(-0.505705\pi\) |
0.628956 | + | 0.777441i | \(0.283482\pi\) | |||||||
\(128\) | 10.9055 | − | 3.01165i | 0.963919 | − | 0.266195i | ||||
\(129\) | −1.19572 | + | 6.78128i | −0.105278 | + | 0.597058i | ||||
\(130\) | −3.89505 | − | 0.434560i | −0.341619 | − | 0.0381135i | ||||
\(131\) | 5.74927 | + | 6.85171i | 0.502316 | + | 0.598637i | 0.956305 | − | 0.292370i | \(-0.0944440\pi\) |
−0.453989 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(132\) | −5.86633 | + | 3.02369i | −0.510598 | + | 0.263178i | ||||
\(133\) | −0.642495 | + | 2.17849i | −0.0557114 | + | 0.188899i | ||||
\(134\) | 2.45178 | + | 10.1082i | 0.211802 | + | 0.873216i | ||||
\(135\) | −4.43924 | + | 3.72497i | −0.382069 | + | 0.320594i | ||||
\(136\) | 1.50881 | − | 0.576220i | 0.129380 | − | 0.0494104i | ||||
\(137\) | −2.57292 | + | 14.5918i | −0.219819 | + | 1.24666i | 0.652525 | + | 0.757767i | \(0.273710\pi\) |
−0.872345 | + | 0.488891i | \(0.837401\pi\) | |||||||
\(138\) | −3.28992 | + | 1.43966i | −0.280057 | + | 0.122552i | ||||
\(139\) | 3.98742 | + | 10.9553i | 0.338208 | + | 0.929220i | 0.985903 | + | 0.167320i | \(0.0535112\pi\) |
−0.647694 | + | 0.761900i | \(0.724267\pi\) | |||||||
\(140\) | −1.06686 | − | 0.0509095i | −0.0901665 | − | 0.00430264i | ||||
\(141\) | 10.6883 | − | 6.17092i | 0.900121 | − | 0.519685i | ||||
\(142\) | −19.5262 | − | 9.67846i | −1.63860 | − | 0.812199i | ||||
\(143\) | 4.74949 | + | 3.98530i | 0.397172 | + | 0.333267i | ||||
\(144\) | −3.69858 | − | 0.353790i | −0.308215 | − | 0.0294825i | ||||
\(145\) | 1.01711 | − | 1.76168i | 0.0844661 | − | 0.146299i | ||||
\(146\) | 3.00495 | − | 1.99905i | 0.248691 | − | 0.165443i | ||||
\(147\) | 9.53616 | − | 1.68148i | 0.786529 | − | 0.138686i | ||||
\(148\) | 8.26663 | − | 2.56970i | 0.679513 | − | 0.211228i | ||||
\(149\) | −1.58842 | + | 4.36415i | −0.130129 | + | 0.357525i | −0.987597 | − | 0.157012i | \(-0.949814\pi\) |
0.857468 | + | 0.514537i | \(0.172036\pi\) | |||||||
\(150\) | 6.47287 | + | 4.76629i | 0.528508 | + | 0.389166i | ||||
\(151\) | −10.2438 | −0.833627 | −0.416813 | − | 0.908992i | \(-0.636853\pi\) | ||||
−0.416813 | + | 0.908992i | \(0.636853\pi\) | |||||||
\(152\) | −12.2714 | − | 1.18814i | −0.995345 | − | 0.0963711i | ||||
\(153\) | −0.530405 | −0.0428807 | ||||||||
\(154\) | 1.36058 | + | 1.00186i | 0.109639 | + | 0.0807324i | ||||
\(155\) | 0.702002 | − | 1.92873i | 0.0563862 | − | 0.154920i | ||||
\(156\) | −2.31025 | − | 7.43198i | −0.184968 | − | 0.595035i | ||||
\(157\) | 15.6133 | − | 2.75305i | 1.24608 | − | 0.219717i | 0.488559 | − | 0.872531i | \(-0.337523\pi\) |
0.757518 | + | 0.652814i | \(0.226412\pi\) | |||||||
\(158\) | −9.05567 | + | 6.02432i | −0.720430 | + | 0.479269i | ||||
\(159\) | −10.3729 | + | 17.9664i | −0.822626 | + | 1.42483i | ||||
\(160\) | −0.823917 | − | 5.73890i | −0.0651364 | − | 0.453700i | ||||
\(161\) | 0.704296 | + | 0.590975i | 0.0555063 | + | 0.0465753i | ||||
\(162\) | −6.77976 | − | 3.36049i | −0.532668 | − | 0.264025i | ||||
\(163\) | −15.4040 | + | 8.89351i | −1.20654 | + | 0.696594i | −0.962001 | − | 0.273047i | \(-0.911969\pi\) |
−0.244535 | + | 0.969641i | \(0.578635\pi\) | |||||||
\(164\) | −0.453967 | + | 9.51338i | −0.0354489 | + | 0.742870i | ||||
\(165\) | 1.15673 | + | 3.17809i | 0.0900513 | + | 0.247414i | ||||
\(166\) | −14.6129 | + | 6.39454i | −1.13418 | + | 0.496312i | ||||
\(167\) | −0.700865 | + | 3.97480i | −0.0542346 | + | 0.307579i | −0.999843 | − | 0.0177280i | \(-0.994357\pi\) |
0.945608 | + | 0.325307i | \(0.105468\pi\) | |||||||
\(168\) | −0.756706 | − | 1.98141i | −0.0583811 | − | 0.152869i | ||||
\(169\) | 4.35771 | − | 3.65655i | 0.335209 | − | 0.281273i | ||||
\(170\) | −0.195096 | − | 0.804340i | −0.0149631 | − | 0.0616901i | ||||
\(171\) | 3.62558 | + | 1.80229i | 0.277255 | + | 0.137825i | ||||
\(172\) | 4.38426 | + | 8.50601i | 0.334297 | + | 0.648577i | ||||
\(173\) | 4.54407 | + | 5.41541i | 0.345479 | + | 0.411726i | 0.910604 | − | 0.413279i | \(-0.135617\pi\) |
−0.565125 | + | 0.825005i | \(0.691172\pi\) | |||||||
\(174\) | 4.01463 | + | 0.447901i | 0.304348 | + | 0.0339553i | ||||
\(175\) | 0.357363 | − | 2.02670i | 0.0270141 | − | 0.153204i | ||||
\(176\) | −3.94334 | + | 8.28077i | −0.297241 | + | 0.624186i | ||||
\(177\) | −7.50321 | + | 2.73095i | −0.563976 | + | 0.205271i | ||||
\(178\) | 3.99016 | − | 13.5872i | 0.299075 | − | 1.01840i | ||||
\(179\) | 9.72285 | − | 5.61349i | 0.726720 | − | 0.419572i | −0.0905010 | − | 0.995896i | \(-0.528847\pi\) |
0.817221 | + | 0.576324i | \(0.195513\pi\) | |||||||
\(180\) | −0.419625 | + | 1.85718i | −0.0312770 | + | 0.138426i | ||||
\(181\) | 11.8714 | − | 14.1477i | 0.882391 | − | 1.05159i | −0.115906 | − | 0.993260i | \(-0.536977\pi\) |
0.998297 | − | 0.0583325i | \(-0.0185784\pi\) | |||||||
\(182\) | −1.44212 | + | 1.37494i | −0.106897 | + | 0.101918i | ||||
\(183\) | 3.90920 | − | 6.77093i | 0.288976 | − | 0.500521i | ||||
\(184\) | −2.42698 | + | 4.36078i | −0.178919 | + | 0.321481i | ||||
\(185\) | −0.770340 | − | 4.36882i | −0.0566365 | − | 0.321202i | ||||
\(186\) | 4.06769 | − | 0.258340i | 0.298257 | − | 0.0189424i | ||||
\(187\) | −0.447815 | + | 1.23036i | −0.0327475 | + | 0.0899729i | ||||
\(188\) | 6.62777 | − | 15.8194i | 0.483380 | − | 1.15374i | ||||
\(189\) | 2.94619i | 0.214304i | ||||||||
\(190\) | −1.39954 | + | 6.16098i | −0.101533 | + | 0.446964i | ||||
\(191\) | 6.99654 | 0.506252 | 0.253126 | − | 0.967433i | \(-0.418541\pi\) | ||||
0.253126 | + | 0.967433i | \(0.418541\pi\) | |||||||
\(192\) | 9.78452 | − | 6.06759i | 0.706137 | − | 0.437891i | ||||
\(193\) | −17.4003 | − | 6.33318i | −1.25250 | − | 0.455872i | −0.371253 | − | 0.928532i | \(-0.621072\pi\) |
−0.881245 | + | 0.472659i | \(0.843294\pi\) | |||||||
\(194\) | 0.899914 | + | 14.1696i | 0.0646101 | + | 1.01732i | ||||
\(195\) | −3.92772 | + | 0.692562i | −0.281270 | + | 0.0495954i | ||||
\(196\) | 9.13151 | − | 9.88464i | 0.652251 | − | 0.706045i | ||||
\(197\) | −12.2998 | − | 7.10130i | −0.876326 | − | 0.505947i | −0.00688052 | − | 0.999976i | \(-0.502190\pi\) |
−0.869445 | + | 0.494029i | \(0.835523\pi\) | |||||||
\(198\) | 2.18000 | − | 2.07846i | 0.154926 | − | 0.147709i | ||||
\(199\) | 16.1358 | + | 13.5396i | 1.14384 | + | 0.959794i | 0.999558 | − | 0.0297428i | \(-0.00946883\pi\) |
0.144280 | + | 0.989537i | \(0.453913\pi\) | |||||||
\(200\) | 11.1697 | − | 0.175853i | 0.789816 | − | 0.0124347i | ||||
\(201\) | 5.29232 | + | 9.16658i | 0.373292 | + | 0.646560i | ||||
\(202\) | −22.5350 | − | 6.61788i | −1.58556 | − | 0.465632i | ||||
\(203\) | −0.353715 | − | 0.971824i | −0.0248259 | − | 0.0682086i | ||||
\(204\) | 1.30797 | − | 0.995254i | 0.0915765 | − | 0.0696817i | ||||
\(205\) | 4.80655 | + | 0.847525i | 0.335704 | + | 0.0591937i | ||||
\(206\) | −11.9139 | − | 1.32920i | −0.830082 | − | 0.0926100i | ||||
\(207\) | 1.25551 | − | 1.05350i | 0.0872638 | − | 0.0732230i | ||||
\(208\) | −8.80929 | − | 6.27527i | −0.610815 | − | 0.435111i | ||||
\(209\) | 7.24175 | − | 6.88846i | 0.500922 | − | 0.476485i | ||||
\(210\) | −1.05628 | + | 0.256204i | −0.0728902 | + | 0.0176798i | ||||
\(211\) | −9.42693 | − | 11.2346i | −0.648976 | − | 0.773420i | 0.336783 | − | 0.941582i | \(-0.390661\pi\) |
−0.985759 | + | 0.168162i | \(0.946217\pi\) | |||||||
\(212\) | 3.64740 | + | 28.5992i | 0.250504 | + | 1.96420i | ||||
\(213\) | −21.8405 | − | 3.85107i | −1.49649 | − | 0.263871i | ||||
\(214\) | −1.35592 | + | 0.593346i | −0.0926889 | + | 0.0405603i | ||||
\(215\) | 4.60814 | − | 1.67723i | 0.314273 | − | 0.114386i | ||||
\(216\) | −15.7039 | + | 3.02465i | −1.06851 | + | 0.205801i | ||||
\(217\) | −0.521750 | − | 0.903697i | −0.0354187 | − | 0.0613469i | ||||
\(218\) | 9.98939 | − | 20.1535i | 0.676567 | − | 1.36497i | ||||
\(219\) | 2.36081 | − | 2.81350i | 0.159529 | − | 0.190119i | ||||
\(220\) | 3.95376 | + | 2.54139i | 0.266562 | + | 0.171340i | ||||
\(221\) | −1.33717 | − | 0.772014i | −0.0899476 | − | 0.0519313i | ||||
\(222\) | 7.33466 | − | 4.87941i | 0.492270 | − | 0.327485i | ||||
\(223\) | −4.47438 | − | 25.3755i | −0.299627 | − | 1.69927i | −0.647777 | − | 0.761830i | \(-0.724301\pi\) |
0.348150 | − | 0.937439i | \(-0.386810\pi\) | |||||||
\(224\) | −2.50430 | − | 1.55455i | −0.167326 | − | 0.103868i | ||||
\(225\) | −3.44738 | − | 1.25474i | −0.229825 | − | 0.0836495i | ||||
\(226\) | 12.2071 | − | 16.5779i | 0.812007 | − | 1.10275i | ||||
\(227\) | − | 2.95576i | − | 0.196180i | −0.995178 | − | 0.0980902i | \(-0.968727\pi\) | ||
0.995178 | − | 0.0980902i | \(-0.0312734\pi\) | |||||||
\(228\) | −12.3225 | + | 2.35861i | −0.816075 | + | 0.156203i | ||||
\(229\) | 7.71152i | 0.509591i | 0.966995 | + | 0.254796i | \(0.0820082\pi\) | ||||
−0.966995 | + | 0.254796i | \(0.917992\pi\) | |||||||
\(230\) | 2.05939 | + | 1.51643i | 0.135792 | + | 0.0999905i | ||||
\(231\) | 1.61574 | + | 0.588081i | 0.106308 | + | 0.0386929i | ||||
\(232\) | 4.81691 | − | 2.88309i | 0.316246 | − | 0.189284i | ||||
\(233\) | −3.25407 | − | 18.4548i | −0.213181 | − | 1.20901i | −0.884035 | − | 0.467421i | \(-0.845183\pi\) |
0.670853 | − | 0.741590i | \(-0.265928\pi\) | |||||||
\(234\) | 1.96738 | + | 2.95734i | 0.128612 | + | 0.193328i | ||||
\(235\) | −7.61185 | − | 4.39471i | −0.496543 | − | 0.286679i | ||||
\(236\) | −6.00001 | + | 9.33450i | −0.390568 | + | 0.607625i | ||||
\(237\) | −7.11450 | + | 8.47873i | −0.462137 | + | 0.550753i | ||||
\(238\) | −0.377012 | − | 0.186871i | −0.0244380 | − | 0.0121131i | ||||
\(239\) | −11.4773 | − | 19.8793i | −0.742406 | − | 1.28588i | −0.951397 | − | 0.307967i | \(-0.900351\pi\) |
0.208992 | − | 0.977917i | \(-0.432982\pi\) | |||||||
\(240\) | −2.45004 | − | 5.36718i | −0.158149 | − | 0.346450i | ||||
\(241\) | 25.2350 | − | 9.18478i | 1.62553 | − | 0.591644i | 0.641104 | − | 0.767454i | \(-0.278477\pi\) |
0.984424 | + | 0.175810i | \(0.0562545\pi\) | |||||||
\(242\) | 3.25566 | + | 7.43987i | 0.209282 | + | 0.478253i | ||||
\(243\) | 9.12160 | + | 1.60838i | 0.585151 | + | 0.103178i | ||||
\(244\) | −1.37458 | − | 10.7780i | −0.0879984 | − | 0.689993i | ||||
\(245\) | −4.43271 | − | 5.28270i | −0.283195 | − | 0.337499i | ||||
\(246\) | 2.28461 | + | 9.41898i | 0.145661 | + | 0.600533i | ||||
\(247\) | 6.51692 | + | 9.82072i | 0.414661 | + | 0.624878i | ||||
\(248\) | 4.28127 | − | 3.70881i | 0.271861 | − | 0.235510i | ||||
\(249\) | −12.4344 | + | 10.4337i | −0.787997 | + | 0.661208i | ||||
\(250\) | 1.43831 | − | 12.8918i | 0.0909665 | − | 0.815351i | ||||
\(251\) | 4.15999 | + | 0.733519i | 0.262576 | + | 0.0462993i | 0.303386 | − | 0.952868i | \(-0.401883\pi\) |
−0.0408099 | + | 0.999167i | \(0.512994\pi\) | |||||||
\(252\) | 0.586163 | + | 0.770341i | 0.0369248 | + | 0.0485269i | ||||
\(253\) | −1.38375 | − | 3.80181i | −0.0869954 | − | 0.239018i | ||||
\(254\) | 2.92009 | − | 9.94338i | 0.183223 | − | 0.623903i | ||||
\(255\) | −0.421126 | − | 0.729412i | −0.0263719 | − | 0.0456776i | ||||
\(256\) | 5.71513 | − | 14.9445i | 0.357195 | − | 0.934030i | ||||
\(257\) | −12.9825 | − | 10.8936i | −0.809826 | − | 0.679525i | 0.140740 | − | 0.990047i | \(-0.455052\pi\) |
−0.950566 | + | 0.310522i | \(0.899496\pi\) | |||||||
\(258\) | 6.71978 | + | 7.04809i | 0.418355 | + | 0.438795i | ||||
\(259\) | −1.95321 | − | 1.12768i | −0.121366 | − | 0.0700709i | ||||
\(260\) | −3.76105 | + | 4.07125i | −0.233250 | + | 0.252488i | ||||
\(261\) | −1.81559 | + | 0.320137i | −0.112382 | + | 0.0198160i | ||||
\(262\) | 12.6237 | − | 0.801734i | 0.779893 | − | 0.0495313i | ||||
\(263\) | 5.66621 | + | 2.06233i | 0.349393 | + | 0.127169i | 0.510754 | − | 0.859727i | \(-0.329366\pi\) |
−0.161361 | + | 0.986895i | \(0.551588\pi\) | |||||||
\(264\) | −1.47584 | + | 9.21601i | −0.0908317 | + | 0.567206i | ||||
\(265\) | 14.7744 | 0.907586 | ||||||||
\(266\) | 1.94208 | + | 2.55843i | 0.119076 | + | 0.156867i | ||||
\(267\) | − | 14.4106i | − | 0.881913i | ||||||
\(268\) | 13.5670 | + | 5.68413i | 0.828739 | + | 0.347213i | ||||
\(269\) | −3.57231 | + | 9.81483i | −0.217807 | + | 0.598421i | −0.999687 | − | 0.0250082i | \(-0.992039\pi\) |
0.781880 | + | 0.623429i | \(0.214261\pi\) | |||||||
\(270\) | 0.519446 | + | 8.17892i | 0.0316125 | + | 0.497753i | ||||
\(271\) | 0.165651 | + | 0.939452i | 0.0100626 | + | 0.0570676i | 0.989426 | − | 0.145041i | \(-0.0463316\pi\) |
−0.979363 | + | 0.202109i | \(0.935220\pi\) | |||||||
\(272\) | 0.609016 | − | 2.20141i | 0.0369270 | − | 0.133480i | ||||
\(273\) | −1.01383 | + | 1.75600i | −0.0613596 | + | 0.106278i | ||||
\(274\) | 14.4594 | + | 15.1659i | 0.873526 | + | 0.916204i | ||||
\(275\) | −5.82116 | + | 6.93739i | −0.351029 | + | 0.418340i | ||||
\(276\) | −1.11928 | + | 4.95375i | −0.0673730 | + | 0.298181i | ||||
\(277\) | −13.8263 | + | 7.98263i | −0.830743 | + | 0.479630i | −0.854107 | − | 0.520097i | \(-0.825896\pi\) |
0.0233638 | + | 0.999727i | \(0.492562\pi\) | |||||||
\(278\) | 15.8195 | + | 4.64572i | 0.948788 | + | 0.278632i | ||||
\(279\) | −1.74800 | + | 0.636221i | −0.104650 | + | 0.0380895i | ||||
\(280\) | −0.952590 | + | 1.17224i | −0.0569281 | + | 0.0700550i | ||||
\(281\) | −2.40403 | + | 13.6339i | −0.143412 | + | 0.813331i | 0.825216 | + | 0.564817i | \(0.191053\pi\) |
−0.968628 | + | 0.248514i | \(0.920058\pi\) | |||||||
\(282\) | 1.93529 | − | 17.3464i | 0.115245 | − | 1.03296i | ||||
\(283\) | −3.33287 | − | 3.97196i | −0.198119 | − | 0.236109i | 0.657834 | − | 0.753163i | \(-0.271473\pi\) |
−0.855953 | + | 0.517054i | \(0.827028\pi\) | |||||||
\(284\) | −27.3954 | + | 14.1204i | −1.62562 | + | 0.837892i | ||||
\(285\) | 0.400092 | + | 6.41685i | 0.0236994 | + | 0.380102i | ||||
\(286\) | 8.52108 | − | 2.06682i | 0.503862 | − | 0.122214i | ||||
\(287\) | 1.90082 | − | 1.59498i | 0.112202 | − | 0.0941487i | ||||
\(288\) | −3.50432 | + | 3.91524i | −0.206494 | + | 0.230708i | ||||
\(289\) | −2.89540 | + | 16.4206i | −0.170318 | + | 0.965919i | ||||
\(290\) | −1.15329 | − | 2.63552i | −0.0677236 | − | 0.154763i | ||||
\(291\) | 4.94164 | + | 13.5771i | 0.289684 | + | 0.795901i | ||||
\(292\) | 0.243285 | − | 5.09830i | 0.0142372 | − | 0.298355i | ||||
\(293\) | −24.9782 | + | 14.4212i | −1.45924 | + | 0.842495i | −0.998974 | − | 0.0452833i | \(-0.985581\pi\) |
−0.460271 | + | 0.887779i | \(0.652248\pi\) | |||||||
\(294\) | 6.08165 | − | 12.2697i | 0.354689 | − | 0.715582i | ||||
\(295\) | 4.35607 | + | 3.65518i | 0.253620 | + | 0.212813i | ||||
\(296\) | 4.00560 | − | 11.5688i | 0.232821 | − | 0.672421i | ||||
\(297\) | 6.48237 | − | 11.2278i | 0.376145 | − | 0.651503i | ||||
\(298\) | 3.63789 | + | 5.46842i | 0.210737 | + | 0.316777i | ||||
\(299\) | 4.69855 | − | 0.828482i | 0.271724 | − | 0.0479123i | ||||
\(300\) | 10.8556 | − | 3.37449i | 0.626748 | − | 0.194826i | ||||
\(301\) | 0.852702 | − | 2.34278i | 0.0491489 | − | 0.135036i | ||||
\(302\) | −8.58987 | + | 11.6655i | −0.494292 | + | 0.671274i | ||||
\(303\) | −23.9006 | −1.37306 | ||||||||
\(304\) | −11.6432 | + | 12.9783i | −0.667784 | + | 0.744355i | ||||
\(305\) | −5.56797 | −0.318821 | ||||||||
\(306\) | −0.444769 | + | 0.604020i | −0.0254257 | + | 0.0345295i | ||||
\(307\) | 8.58352 | − | 23.5830i | 0.489888 | − | 1.34595i | −0.410894 | − | 0.911683i | \(-0.634783\pi\) |
0.900782 | − | 0.434272i | \(-0.142994\pi\) | |||||||
\(308\) | 2.28182 | − | 0.709310i | 0.130019 | − | 0.0404167i | ||||
\(309\) | −12.0138 | + | 2.11836i | −0.683443 | + | 0.120509i | ||||
\(310\) | −1.60776 | − | 2.41676i | −0.0913147 | − | 0.137263i | ||||
\(311\) | −16.4770 | + | 28.5390i | −0.934324 | + | 1.61830i | −0.158490 | + | 0.987361i | \(0.550663\pi\) |
−0.775834 | + | 0.630937i | \(0.782671\pi\) | |||||||
\(312\) | −10.4007 | − | 3.60117i | −0.588825 | − | 0.203876i | ||||
\(313\) | −4.28501 | − | 3.59555i | −0.242203 | − | 0.203233i | 0.513603 | − | 0.858028i | \(-0.328310\pi\) |
−0.755806 | + | 0.654795i | \(0.772755\pi\) | |||||||
\(314\) | 9.95733 | − | 20.0888i | 0.561924 | − | 1.13368i | ||||
\(315\) | 0.429593 | − | 0.248026i | 0.0242048 | − | 0.0139747i | ||||
\(316\) | −0.733160 | + | 15.3642i | −0.0412435 | + | 0.864302i | ||||
\(317\) | 8.37107 | + | 22.9993i | 0.470166 | + | 1.29177i | 0.917618 | + | 0.397463i | \(0.130109\pi\) |
−0.447452 | + | 0.894308i | \(0.647669\pi\) | |||||||
\(318\) | 11.7618 | + | 26.8782i | 0.659569 | + | 1.50726i | ||||
\(319\) | −0.790269 | + | 4.48184i | −0.0442466 | + | 0.250935i | ||||
\(320\) | −7.22629 | − | 3.87406i | −0.403962 | − | 0.216567i | ||||
\(321\) | −1.15378 | + | 0.968136i | −0.0643977 | + | 0.0540361i | ||||
\(322\) | 1.26358 | − | 0.306486i | 0.0704166 | − | 0.0170798i | ||||
\(323\) | −1.47817 | + | 2.00258i | −0.0822474 | + | 0.111426i | ||||
\(324\) | −9.51203 | + | 4.90279i | −0.528446 | + | 0.272377i | ||||
\(325\) | −6.86464 | − | 8.18096i | −0.380782 | − | 0.453798i | ||||
\(326\) | −2.78913 | + | 24.9995i | −0.154476 | + | 1.38460i | ||||
\(327\) | 3.97479 | − | 22.5421i | 0.219806 | − | 1.24658i | ||||
\(328\) | 10.4531 | + | 8.49437i | 0.577174 | + | 0.469023i | ||||
\(329\) | −4.19905 | + | 1.52833i | −0.231501 | + | 0.0842595i | ||||
\(330\) | 4.58915 | + | 1.34770i | 0.252624 | + | 0.0741885i | ||||
\(331\) | −16.0022 | + | 9.23885i | −0.879558 | + | 0.507813i | −0.870513 | − | 0.492146i | \(-0.836213\pi\) |
−0.00904545 | + | 0.999959i | \(0.502879\pi\) | |||||||
\(332\) | −4.97153 | + | 22.0031i | −0.272848 | + | 1.20758i | ||||
\(333\) | −2.58434 | + | 3.07989i | −0.141621 | + | 0.168777i | ||||
\(334\) | 3.93876 | + | 4.13119i | 0.215519 | + | 0.226049i | ||||
\(335\) | 3.76900 | − | 6.52810i | 0.205923 | − | 0.356668i | ||||
\(336\) | −2.89094 | − | 0.799775i | −0.157714 | − | 0.0436313i | ||||
\(337\) | 2.51291 | + | 14.2514i | 0.136887 | + | 0.776324i | 0.973527 | + | 0.228571i | \(0.0734053\pi\) |
−0.836640 | + | 0.547752i | \(0.815484\pi\) | |||||||
\(338\) | −0.509905 | − | 8.02870i | −0.0277352 | − | 0.436704i | ||||
\(339\) | 7.16544 | − | 19.6869i | 0.389173 | − | 1.06924i | ||||
\(340\) | −1.07957 | − | 0.452303i | −0.0585479 | − | 0.0245296i | ||||
\(341\) | 4.59193i | 0.248667i | ||||||||
\(342\) | 5.09264 | − | 2.61746i | 0.275379 | − | 0.141536i | ||||
\(343\) | −7.15339 | −0.386247 | ||||||||
\(344\) | 13.3630 | + | 2.13993i | 0.720483 | + | 0.115377i | ||||
\(345\) | 2.44560 | + | 0.890126i | 0.131667 | + | 0.0479228i | ||||
\(346\) | 9.97742 | − | 0.633669i | 0.536390 | − | 0.0340663i | ||||
\(347\) | 18.2618 | − | 3.22004i | 0.980342 | − | 0.172861i | 0.339561 | − | 0.940584i | \(-0.389722\pi\) |
0.640782 | + | 0.767723i | \(0.278610\pi\) | |||||||
\(348\) | 3.87651 | − | 4.19623i | 0.207803 | − | 0.224942i | ||||
\(349\) | 13.2179 | + | 7.63137i | 0.707539 | + | 0.408498i | 0.810149 | − | 0.586224i | \(-0.199386\pi\) |
−0.102610 | + | 0.994722i | \(0.532719\pi\) | |||||||
\(350\) | −2.00832 | − | 2.10644i | −0.107349 | − | 0.112594i | ||||
\(351\) | 11.7119 | + | 9.82742i | 0.625133 | + | 0.524549i | ||||
\(352\) | 6.12338 | + | 11.4344i | 0.326377 | + | 0.609458i | ||||
\(353\) | −3.81302 | − | 6.60435i | −0.202947 | − | 0.351514i | 0.746530 | − | 0.665352i | \(-0.231718\pi\) |
−0.949477 | + | 0.313838i | \(0.898385\pi\) | |||||||
\(354\) | −3.18181 | + | 10.8346i | −0.169112 | + | 0.575853i | ||||
\(355\) | 5.40185 | + | 14.8415i | 0.286700 | + | 0.787703i | ||||
\(356\) | −12.1270 | − | 15.9374i | −0.642729 | − | 0.844681i | ||||
\(357\) | −0.421696 | − | 0.0743563i | −0.0223185 | − | 0.00393535i | ||||
\(358\) | 1.76047 | − | 15.7794i | 0.0930437 | − | 0.833970i | ||||
\(359\) | −13.2909 | + | 11.1524i | −0.701466 | + | 0.588600i | −0.922190 | − | 0.386736i | \(-0.873602\pi\) |
0.220724 | + | 0.975336i | \(0.429158\pi\) | |||||||
\(360\) | 1.76307 | + | 2.03520i | 0.0929218 | + | 0.107264i | ||||
\(361\) | 16.9087 | − | 8.66585i | 0.889930 | − | 0.456097i | ||||
\(362\) | −6.15661 | − | 25.3825i | −0.323584 | − | 1.33407i | ||||
\(363\) | 5.31211 | + | 6.33073i | 0.278814 | + | 0.332277i | ||||
\(364\) | 0.356489 | + | 2.79522i | 0.0186851 | + | 0.146509i | ||||
\(365\) | −2.57587 | − | 0.454196i | −0.134827 | − | 0.0237737i | ||||
\(366\) | −4.43262 | − | 10.1295i | −0.231697 | − | 0.529476i | ||||
\(367\) | 28.8272 | − | 10.4923i | 1.50477 | − | 0.547691i | 0.547479 | − | 0.836819i | \(-0.315587\pi\) |
0.957291 | + | 0.289128i | \(0.0933652\pi\) | |||||||
\(368\) | 2.93087 | + | 6.42053i | 0.152782 | + | 0.334693i | ||||
\(369\) | −2.21168 | − | 3.83074i | −0.115135 | − | 0.199420i | ||||
\(370\) | −5.62113 | − | 2.78620i | −0.292228 | − | 0.144847i | ||||
\(371\) | 4.82818 | − | 5.75400i | 0.250667 | − | 0.298733i | ||||
\(372\) | 3.11675 | − | 4.84887i | 0.161596 | − | 0.251402i | ||||
\(373\) | 14.9602 | + | 8.63726i | 0.774608 | + | 0.447220i | 0.834516 | − | 0.550984i | \(-0.185747\pi\) |
−0.0599080 | + | 0.998204i | \(0.519081\pi\) | |||||||
\(374\) | 1.02561 | + | 1.54168i | 0.0530330 | + | 0.0797184i | ||||
\(375\) | −2.29224 | − | 12.9999i | −0.118371 | − | 0.671314i | ||||
\(376\) | −12.4572 | − | 20.8129i | −0.642432 | − | 1.07334i | ||||
\(377\) | −5.04311 | − | 1.83554i | −0.259734 | − | 0.0945353i | ||||
\(378\) | 3.35509 | + | 2.47051i | 0.172567 | + | 0.127070i | ||||
\(379\) | − | 34.3174i | − | 1.76276i | −0.472404 | − | 0.881382i | \(-0.656614\pi\) | ||
0.472404 | − | 0.881382i | \(-0.343386\pi\) | |||||||
\(380\) | 5.84248 | + | 6.76004i | 0.299713 | + | 0.346783i | ||||
\(381\) | − | 10.5460i | − | 0.540286i | ||||||
\(382\) | 5.86692 | − | 7.96758i | 0.300178 | − | 0.407657i | ||||
\(383\) | −1.79144 | − | 0.652029i | −0.0915381 | − | 0.0333171i | 0.295845 | − | 0.955236i | \(-0.404399\pi\) |
−0.387383 | + | 0.921919i | \(0.626621\pi\) | |||||||
\(384\) | 1.29505 | − | 16.2305i | 0.0660879 | − | 0.828257i | ||||
\(385\) | −0.212636 | − | 1.20592i | −0.0108369 | − | 0.0614592i | ||||
\(386\) | −21.8031 | + | 14.5046i | −1.10975 | + | 0.738264i | ||||
\(387\) | −3.84893 | − | 2.22218i | −0.195652 | − | 0.112960i | ||||
\(388\) | 16.8908 | + | 10.8570i | 0.857499 | + | 0.551182i | ||||
\(389\) | −1.06959 | + | 1.27469i | −0.0542305 | + | 0.0646294i | −0.792478 | − | 0.609901i | \(-0.791209\pi\) |
0.738247 | + | 0.674530i | \(0.235654\pi\) | |||||||
\(390\) | −2.50489 | + | 5.05359i | −0.126840 | + | 0.255898i | ||||
\(391\) | 0.503775 | + | 0.872564i | 0.0254770 | + | 0.0441275i | ||||
\(392\) | −3.59933 | − | 18.6876i | −0.181794 | − | 0.943866i | ||||
\(393\) | 12.0958 | − | 4.40251i | 0.610153 | − | 0.222077i | ||||
\(394\) | −18.4008 | + | 8.05214i | −0.927021 | + | 0.405661i | ||||
\(395\) | 7.76262 | + | 1.36876i | 0.390580 | + | 0.0688697i | ||||
\(396\) | −0.538892 | − | 4.22544i | −0.0270803 | − | 0.212337i | ||||
\(397\) | −8.77341 | − | 10.4557i | −0.440325 | − | 0.524759i | 0.499547 | − | 0.866287i | \(-0.333500\pi\) |
−0.939872 | + | 0.341528i | \(0.889056\pi\) | |||||||
\(398\) | 28.9493 | − | 7.02176i | 1.45110 | − | 0.351969i | ||||
\(399\) | 2.62984 | + | 1.94117i | 0.131656 | + | 0.0971798i | ||||
\(400\) | 9.16603 | − | 12.8674i | 0.458301 | − | 0.643369i | ||||
\(401\) | −4.95418 | + | 4.15705i | −0.247400 | + | 0.207593i | −0.758052 | − | 0.652194i | \(-0.773849\pi\) |
0.510652 | + | 0.859788i | \(0.329404\pi\) | |||||||
\(402\) | 14.8767 | + | 1.65975i | 0.741980 | + | 0.0827807i | ||||
\(403\) | −5.33280 | − | 0.940316i | −0.265645 | − | 0.0468405i | ||||
\(404\) | −26.4330 | + | 20.1132i | −1.31509 | + | 1.00067i | ||||
\(405\) | 1.87559 | + | 5.15315i | 0.0931990 | + | 0.256062i | ||||
\(406\) | −1.40331 | − | 0.412112i | −0.0696450 | − | 0.0204528i | ||||
\(407\) | 4.96239 | + | 8.59511i | 0.245977 | + | 0.426044i | ||||
\(408\) | −0.0365897 | − | 2.32407i | −0.00181146 | − | 0.115059i | ||||
\(409\) | −22.8766 | − | 19.1958i | −1.13118 | − | 0.949171i | −0.132063 | − | 0.991241i | \(-0.542160\pi\) |
−0.999115 | + | 0.0420708i | \(0.986604\pi\) | |||||||
\(410\) | 4.99567 | − | 4.76297i | 0.246718 | − | 0.235226i | ||||
\(411\) | 18.4668 | + | 10.6618i | 0.910898 | + | 0.525907i | ||||
\(412\) | −11.5040 | + | 12.4529i | −0.566764 | + | 0.613508i | ||||
\(413\) | 2.84707 | − | 0.502015i | 0.140095 | − | 0.0247026i | ||||
\(414\) | −0.146910 | − | 2.31316i | −0.00722022 | − | 0.113686i | ||||
\(415\) | 10.8626 | + | 3.95368i | 0.533226 | + | 0.194079i | ||||
\(416\) | −14.5332 | + | 4.76983i | −0.712549 | + | 0.233860i | ||||
\(417\) | 16.7782 | 0.821630 | ||||||||
\(418\) | −1.77197 | − | 14.0231i | −0.0866700 | − | 0.685893i | ||||
\(419\) | 23.7588i | 1.16069i | 0.814369 | + | 0.580347i | \(0.197083\pi\) | ||||
−0.814369 | + | 0.580347i | \(0.802917\pi\) | |||||||
\(420\) | −0.593975 | + | 1.41772i | −0.0289830 | + | 0.0691776i | ||||
\(421\) | 9.53232 | − | 26.1898i | 0.464577 | − | 1.27641i | −0.457432 | − | 0.889245i | \(-0.651231\pi\) |
0.922008 | − | 0.387170i | \(-0.126547\pi\) | |||||||
\(422\) | −20.6987 | + | 1.31458i | −1.00760 | + | 0.0639929i | ||||
\(423\) | 1.38325 | + | 7.84478i | 0.0672557 | + | 0.381426i | ||||
\(424\) | 35.6269 | + | 19.8281i | 1.73020 | + | 0.962937i | ||||
\(425\) | 1.12765 | − | 1.95315i | 0.0546990 | − | 0.0947415i | ||||
\(426\) | −22.6998 | + | 21.6424i | −1.09981 | + | 1.04858i | ||||
\(427\) | −1.81958 | + | 2.16849i | −0.0880554 | + | 0.104940i | ||||
\(428\) | −0.461306 | + | 2.04166i | −0.0222981 | + | 0.0986872i | ||||
\(429\) | 7.72730 | − | 4.46136i | 0.373078 | − | 0.215396i | ||||
\(430\) | 1.95413 | − | 6.65413i | 0.0942365 | − | 0.320891i | ||||
\(431\) | −11.6667 | + | 4.24634i | −0.561966 | + | 0.204539i | −0.607355 | − | 0.794430i | \(-0.707769\pi\) |
0.0453891 | + | 0.998969i | \(0.485547\pi\) | |||||||
\(432\) | −9.72397 | + | 20.4197i | −0.467845 | + | 0.982444i | ||||
\(433\) | −1.27566 | + | 7.23465i | −0.0613045 | + | 0.347675i | 0.938691 | + | 0.344759i | \(0.112039\pi\) |
−0.999996 | + | 0.00291602i | \(0.999072\pi\) | |||||||
\(434\) | −1.46663 | − | 0.163628i | −0.0704005 | − | 0.00785440i | ||||
\(435\) | −1.88178 | − | 2.24261i | −0.0902242 | − | 0.107525i | ||||
\(436\) | −14.5740 | − | 28.2754i | −0.697970 | − | 1.35415i | ||||
\(437\) | −0.478612 | − | 7.67620i | −0.0228951 | − | 0.367203i | ||||
\(438\) | −1.22434 | − | 5.04771i | −0.0585013 | − | 0.241189i | ||||
\(439\) | −1.68077 | + | 1.41034i | −0.0802189 | + | 0.0673117i | −0.682015 | − | 0.731338i | \(-0.738896\pi\) |
0.601796 | + | 0.798650i | \(0.294452\pi\) | |||||||
\(440\) | 6.20951 | − | 2.37143i | 0.296027 | − | 0.113053i | ||||
\(441\) | −1.08528 | + | 6.15492i | −0.0516800 | + | 0.293092i | ||||
\(442\) | −2.00044 | + | 0.875383i | −0.0951511 | + | 0.0416377i | ||||
\(443\) | −5.62655 | − | 15.4588i | −0.267325 | − | 0.734471i | −0.998625 | − | 0.0524146i | \(-0.983308\pi\) |
0.731300 | − | 0.682056i | \(-0.238914\pi\) | |||||||
\(444\) | 0.593825 | − | 12.4442i | 0.0281817 | − | 0.590578i | ||||
\(445\) | −8.88775 | + | 5.13135i | −0.421320 | + | 0.243249i | ||||
\(446\) | −32.6493 | − | 16.1831i | −1.54599 | − | 0.766293i | ||||
\(447\) | 5.12003 | + | 4.29621i | 0.242169 | + | 0.203204i | ||||
\(448\) | −3.87028 | + | 1.54831i | −0.182854 | + | 0.0731509i | ||||
\(449\) | 0.788175 | − | 1.36516i | 0.0371963 | − | 0.0644259i | −0.846828 | − | 0.531867i | \(-0.821491\pi\) |
0.884024 | + | 0.467441i | \(0.154824\pi\) | |||||||
\(450\) | −4.31967 | + | 2.87368i | −0.203631 | + | 0.135466i | ||||
\(451\) | −10.7533 | + | 1.89610i | −0.506354 | + | 0.0892839i | ||||
\(452\) | −8.64254 | − | 27.8027i | −0.406511 | − | 1.30773i | ||||
\(453\) | −5.04215 | + | 13.8532i | −0.236901 | + | 0.650880i | ||||
\(454\) | −3.36599 | − | 2.47854i | −0.157974 | − | 0.116324i | ||||
\(455\) | 1.44402 | 0.0676968 | ||||||||
\(456\) | −7.64699 | + | 16.0105i | −0.358103 | + | 0.749760i | ||||
\(457\) | −32.2383 | −1.50805 | −0.754023 | − | 0.656848i | \(-0.771889\pi\) | ||||
−0.754023 | + | 0.656848i | \(0.771889\pi\) | |||||||
\(458\) | 8.78180 | + | 6.46646i | 0.410346 | + | 0.302158i | ||||
\(459\) | −1.10428 | + | 3.03397i | −0.0515432 | + | 0.141614i | ||||
\(460\) | 3.45379 | − | 1.07362i | 0.161034 | − | 0.0500578i | ||||
\(461\) | 29.4656 | − | 5.19559i | 1.37235 | − | 0.241983i | 0.561617 | − | 0.827397i | \(-0.310179\pi\) |
0.810734 | + | 0.585415i | \(0.199068\pi\) | |||||||
\(462\) | 2.02457 | − | 1.34686i | 0.0941917 | − | 0.0626614i | ||||
\(463\) | −1.09174 | + | 1.89094i | −0.0507373 | + | 0.0878796i | −0.890279 | − | 0.455416i | \(-0.849490\pi\) |
0.839541 | + | 0.543296i | \(0.182824\pi\) | |||||||
\(464\) | 0.755970 | − | 7.90305i | 0.0350950 | − | 0.366890i | ||||
\(465\) | −2.26279 | − | 1.89871i | −0.104934 | − | 0.0880505i | ||||
\(466\) | −23.7448 | − | 11.7695i | −1.09996 | − | 0.545209i | ||||
\(467\) | 20.3063 | − | 11.7238i | 0.939662 | − | 0.542514i | 0.0498075 | − | 0.998759i | \(-0.484139\pi\) |
0.889854 | + | 0.456245i | \(0.150806\pi\) | |||||||
\(468\) | 5.01753 | + | 0.239431i | 0.231935 | + | 0.0110677i | ||||
\(469\) | −1.31073 | − | 3.60120i | −0.0605239 | − | 0.166288i | ||||
\(470\) | −11.3875 | + | 4.98314i | −0.525268 | + | 0.229855i | ||||
\(471\) | 3.96203 | − | 22.4698i | 0.182561 | − | 1.03535i | ||||
\(472\) | 5.59875 | + | 14.6602i | 0.257703 | + | 0.674789i | ||||
\(473\) | −8.40432 | + | 7.05206i | −0.386431 | + | 0.324254i | ||||
\(474\) | 3.68966 | + | 15.2117i | 0.169472 | + | 0.698698i | ||||
\(475\) | −14.3447 | + | 9.51900i | −0.658182 | + | 0.436762i | ||||
\(476\) | −0.528949 | + | 0.272637i | −0.0242443 | + | 0.0124963i | ||||
\(477\) | −8.60692 | − | 10.2573i | −0.394084 | − | 0.469651i | ||||
\(478\) | −32.2626 | − | 3.59945i | −1.47566 | − | 0.164635i | ||||
\(479\) | 1.59361 | − | 9.03783i | 0.0728141 | − | 0.412949i | −0.926513 | − | 0.376263i | \(-0.877209\pi\) |
0.999327 | − | 0.0366859i | \(-0.0116801\pi\) | |||||||
\(480\) | −8.16656 | − | 1.71055i | −0.372751 | − | 0.0780756i | ||||
\(481\) | −10.9980 | + | 4.00296i | −0.501467 | + | 0.182519i | ||||
\(482\) | 10.7011 | − | 36.4392i | 0.487424 | − | 1.65976i | ||||
\(483\) | 1.14587 | − | 0.661570i | 0.0521390 | − | 0.0301025i | ||||
\(484\) | 11.2025 | + | 2.53116i | 0.509203 | + | 0.115053i | ||||
\(485\) | 6.61404 | − | 7.88231i | 0.300328 | − | 0.357917i | ||||
\(486\) | 9.48049 | − | 9.03888i | 0.430044 | − | 0.410012i | ||||
\(487\) | −5.49964 | + | 9.52566i | −0.249213 | + | 0.431649i | −0.963308 | − | 0.268400i | \(-0.913505\pi\) |
0.714095 | + | 0.700049i | \(0.246838\pi\) | |||||||
\(488\) | −13.4266 | − | 7.47252i | −0.607792 | − | 0.338265i | ||||
\(489\) | 4.44506 | + | 25.2092i | 0.201013 | + | 1.14000i | ||||
\(490\) | −9.73291 | + | 0.618140i | −0.439688 | + | 0.0279247i | ||||
\(491\) | −11.2696 | + | 30.9629i | −0.508588 | + | 1.39734i | 0.374105 | + | 0.927386i | \(0.377950\pi\) |
−0.882694 | + | 0.469949i | \(0.844272\pi\) | |||||||
\(492\) | 12.6420 | + | 5.29656i | 0.569945 | + | 0.238787i | ||||
\(493\) | − | 1.13336i | − | 0.0510438i | ||||||
\(494\) | 16.6485 | + | 0.813729i | 0.749050 | + | 0.0366114i | ||||
\(495\) | −2.18288 | −0.0981131 | ||||||||
\(496\) | −0.633515 | − | 7.98547i | −0.0284456 | − | 0.358558i | ||||
\(497\) | 7.54540 | + | 2.74630i | 0.338457 | + | 0.123188i | ||||
\(498\) | 1.45497 | + | 22.9093i | 0.0651990 | + | 1.02659i | ||||
\(499\) | −1.86140 | + | 0.328214i | −0.0833275 | + | 0.0146929i | −0.215156 | − | 0.976580i | \(-0.569026\pi\) |
0.131829 | + | 0.991272i | \(0.457915\pi\) | |||||||
\(500\) | −13.4750 | − | 12.4483i | −0.602620 | − | 0.556706i | ||||
\(501\) | 5.03036 | + | 2.90428i | 0.224740 | + | 0.129754i | ||||
\(502\) | 4.32367 | − | 4.12227i | 0.192975 | − | 0.183986i | ||||
\(503\) | 25.4259 | + | 21.3349i | 1.13368 | + | 0.951275i | 0.999214 | − | 0.0396430i | \(-0.0126221\pi\) |
0.134471 | + | 0.990918i | \(0.457067\pi\) | |||||||
\(504\) | 1.36878 | − | 0.0215498i | 0.0609703 | − | 0.000959903i | ||||
\(505\) | 8.51058 | + | 14.7408i | 0.378716 | + | 0.655955i | ||||
\(506\) | −5.48980 | − | 1.61220i | −0.244051 | − | 0.0716709i | ||||
\(507\) | −2.80001 | − | 7.69297i | −0.124353 | − | 0.341657i | ||||
\(508\) | −8.87479 | − | 11.6633i | −0.393755 | − | 0.517477i | ||||
\(509\) | 6.23355 | + | 1.09914i | 0.276297 | + | 0.0487186i | 0.310080 | − | 0.950711i | \(-0.399644\pi\) |
−0.0337826 | + | 0.999429i | \(0.510755\pi\) | |||||||
\(510\) | −1.18378 | − | 0.132071i | −0.0524187 | − | 0.00584821i | ||||
\(511\) | −1.01867 | + | 0.854764i | −0.0450632 | + | 0.0378125i | ||||
\(512\) | −12.2262 | − | 19.0399i | −0.540327 | − | 0.841455i | ||||
\(513\) | 17.8576 | − | 16.9864i | 0.788431 | − | 0.749967i | ||||
\(514\) | −23.2919 | + | 5.64954i | −1.02736 | + | 0.249191i | ||||
\(515\) | 5.58441 | + | 6.65524i | 0.246079 | + | 0.293265i | ||||
\(516\) | 13.6611 | − | 1.74227i | 0.601398 | − | 0.0766993i | ||||
\(517\) | 19.3651 | + | 3.41459i | 0.851676 | + | 0.150174i | ||||
\(518\) | −2.92205 | + | 1.27868i | −0.128387 | + | 0.0561818i | ||||
\(519\) | 9.56021 | − | 3.47963i | 0.419647 | − | 0.152739i | ||||
\(520\) | 1.48248 | + | 7.69697i | 0.0650110 | + | 0.337534i | ||||
\(521\) | 7.14192 | + | 12.3702i | 0.312893 | + | 0.541947i | 0.978987 | − | 0.203921i | \(-0.0653685\pi\) |
−0.666094 | + | 0.745868i | \(0.732035\pi\) | |||||||
\(522\) | −1.15788 | + | 2.33602i | −0.0506792 | + | 0.102245i | ||||
\(523\) | −8.75521 | + | 10.4341i | −0.382839 | + | 0.456249i | −0.922708 | − | 0.385500i | \(-0.874029\pi\) |
0.539870 | + | 0.841749i | \(0.318474\pi\) | |||||||
\(524\) | 9.67252 | − | 15.0480i | 0.422546 | − | 0.657375i | ||||
\(525\) | −2.56492 | − | 1.48086i | −0.111942 | − | 0.0646299i | ||||
\(526\) | 7.09993 | − | 4.72326i | 0.309572 | − | 0.205944i | ||||
\(527\) | −0.198576 | − | 1.12618i | −0.00865012 | − | 0.0490573i | ||||
\(528\) | 9.25754 | + | 9.40872i | 0.402883 | + | 0.409462i | ||||
\(529\) | 18.6874 | + | 6.80164i | 0.812494 | + | 0.295724i | ||||
\(530\) | 12.3890 | − | 16.8250i | 0.538145 | − | 0.730830i | ||||
\(531\) | − | 5.15360i | − | 0.223647i | ||||||
\(532\) | 4.54203 | − | 0.0662587i | 0.196922 | − | 0.00287268i | ||||
\(533\) | − | 12.8765i | − | 0.557745i | ||||||
\(534\) | −16.4106 | − | 12.0839i | −0.710157 | − | 0.522923i | ||||
\(535\) | 1.00794 | + | 0.366860i | 0.0435770 | + | 0.0158607i | ||||
\(536\) | 17.8496 | − | 10.6836i | 0.770985 | − | 0.461461i | ||||
\(537\) | −2.80567 | − | 15.9118i | −0.121074 | − | 0.686644i | ||||
\(538\) | 8.18149 | + | 12.2983i | 0.352729 | + | 0.530217i | ||||
\(539\) | 13.3611 | + | 7.71401i | 0.575502 | + | 0.332266i | ||||
\(540\) | 9.74965 | + | 6.26686i | 0.419558 | + | 0.269683i | ||||
\(541\) | 18.7508 | − | 22.3464i | 0.806160 | − | 0.960745i | −0.193633 | − | 0.981074i | \(-0.562027\pi\) |
0.999793 | + | 0.0203294i | \(0.00647150\pi\) | |||||||
\(542\) | 1.20874 | + | 0.599132i | 0.0519200 | + | 0.0257349i | ||||
\(543\) | −13.2894 | − | 23.0180i | −0.570305 | − | 0.987797i | ||||
\(544\) | −1.99625 | − | 2.53952i | −0.0855886 | − | 0.108881i | ||||
\(545\) | −15.3182 | + | 5.57539i | −0.656162 | + | 0.238823i | ||||
\(546\) | 1.14957 | + | 2.62702i | 0.0491972 | + | 0.112426i | ||||
\(547\) | −13.8395 | − | 2.44028i | −0.591734 | − | 0.104339i | −0.130241 | − | 0.991482i | \(-0.541575\pi\) |
−0.461493 | + | 0.887144i | \(0.652686\pi\) | |||||||
\(548\) | 29.3956 | − | 3.74897i | 1.25572 | − | 0.160148i | ||||
\(549\) | 3.24365 | + | 3.86563i | 0.138436 | + | 0.164981i | ||||
\(550\) | 3.01892 | + | 12.4464i | 0.128727 | + | 0.530716i | ||||
\(551\) | −3.85110 | + | 7.74705i | −0.164062 | + | 0.330035i | ||||
\(552\) | 4.70271 | + | 5.42857i | 0.200161 | + | 0.231055i | ||||
\(553\) | 3.06984 | − | 2.57590i | 0.130543 | − | 0.109539i | ||||
\(554\) | −2.50347 | + | 22.4391i | −0.106362 | + | 0.953345i | ||||
\(555\) | −6.28735 | − | 1.10863i | −0.266883 | − | 0.0470587i | ||||
\(556\) | 18.5558 | − | 14.1194i | 0.786943 | − | 0.598795i | ||||
\(557\) | 4.34662 | + | 11.9422i | 0.184172 | + | 0.506009i | 0.997078 | − | 0.0763859i | \(-0.0243381\pi\) |
−0.812906 | + | 0.582395i | \(0.802116\pi\) | |||||||
\(558\) | −0.741258 | + | 2.52411i | −0.0313799 | + | 0.106854i | ||||
\(559\) | −6.46885 | − | 11.2044i | −0.273603 | − | 0.473894i | ||||
\(560\) | 0.536149 | + | 2.06778i | 0.0226564 | + | 0.0873796i | ||||
\(561\) | 1.44346 | + | 1.21121i | 0.0609430 | + | 0.0511372i | ||||
\(562\) | 13.5103 | + | 14.1703i | 0.569896 | + | 0.597739i | ||||
\(563\) | −0.548875 | − | 0.316893i | −0.0231323 | − | 0.0133554i | 0.488389 | − | 0.872626i | \(-0.337585\pi\) |
−0.511522 | + | 0.859270i | \(0.670918\pi\) | |||||||
\(564\) | −18.1310 | − | 16.7496i | −0.763455 | − | 0.705286i | ||||
\(565\) | −14.6934 | + | 2.59084i | −0.618156 | + | 0.108998i | ||||
\(566\) | −7.31800 | + | 0.464768i | −0.307598 | + | 0.0195357i | ||||
\(567\) | 2.61986 | + | 0.953551i | 0.110024 | + | 0.0400454i | ||||
\(568\) | −6.89207 | + | 43.0381i | −0.289185 | + | 1.80584i | ||||
\(569\) | 27.2931 | 1.14419 | 0.572093 | − | 0.820188i | \(-0.306131\pi\) | ||||
0.572093 | + | 0.820188i | \(0.306131\pi\) | |||||||
\(570\) | 7.64294 | + | 4.92520i | 0.320128 | + | 0.206294i | ||||
\(571\) | 16.1535i | 0.676004i | 0.941145 | + | 0.338002i | \(0.109751\pi\) | ||||
−0.941145 | + | 0.338002i | \(0.890249\pi\) | |||||||
\(572\) | 4.79164 | − | 11.4368i | 0.200349 | − | 0.478198i | ||||
\(573\) | 3.44381 | − | 9.46178i | 0.143867 | − | 0.395272i | ||||
\(574\) | −0.222420 | − | 3.50210i | −0.00928362 | − | 0.146175i | ||||
\(575\) | 1.21013 | + | 6.86299i | 0.0504659 | + | 0.286206i | ||||
\(576\) | 1.52010 | + | 7.27379i | 0.0633374 | + | 0.303075i | ||||
\(577\) | 16.0143 | − | 27.7376i | 0.666686 | − | 1.15473i | −0.312140 | − | 0.950036i | \(-0.601046\pi\) |
0.978825 | − | 0.204697i | \(-0.0656209\pi\) | |||||||
\(578\) | 16.2717 | + | 17.0667i | 0.676814 | + | 0.709880i | ||||
\(579\) | −17.1294 | + | 20.4140i | −0.711873 | + | 0.848377i | ||||
\(580\) | −3.96839 | − | 0.896645i | −0.164778 | − | 0.0372312i | ||||
\(581\) | 5.08963 | − | 2.93850i | 0.211153 | − | 0.121909i | ||||
\(582\) | 19.6052 | + | 5.75749i | 0.812662 | + | 0.238656i | ||||
\(583\) | −31.0603 | + | 11.3050i | −1.28639 | + | 0.468206i | ||||
\(584\) | −5.60188 | − | 4.55221i | −0.231808 | − | 0.188372i | ||||
\(585\) | 0.447000 | − | 2.53507i | 0.0184812 | − | 0.104812i | ||||
\(586\) | −4.52269 | + | 40.5378i | −0.186831 | + | 1.67460i | ||||
\(587\) | −11.0964 | − | 13.2242i | −0.457998 | − | 0.545821i | 0.486783 | − | 0.873523i | \(-0.338170\pi\) |
−0.944781 | + | 0.327702i | \(0.893726\pi\) | |||||||
\(588\) | −8.87284 | − | 17.2144i | −0.365910 | − | 0.709910i | ||||
\(589\) | −2.46935 | + | 8.37276i | −0.101748 | + | 0.344993i | ||||
\(590\) | 7.81525 | − | 1.89562i | 0.321749 | − | 0.0780413i | ||||
\(591\) | −15.6576 | + | 13.1383i | −0.644069 | + | 0.540438i | ||||
\(592\) | −9.81551 | − | 14.2625i | −0.403415 | − | 0.586184i | ||||
\(593\) | −3.99964 | + | 22.6831i | −0.164246 | + | 0.931484i | 0.785593 | + | 0.618743i | \(0.212358\pi\) |
−0.949839 | + | 0.312740i | \(0.898753\pi\) | |||||||
\(594\) | −7.35033 | − | 16.7971i | −0.301588 | − | 0.689192i | ||||
\(595\) | 0.104299 | + | 0.286559i | 0.00427583 | + | 0.0117478i | ||||
\(596\) | 9.27791 | + | 0.442731i | 0.380038 | + | 0.0181350i | ||||
\(597\) | 26.2526 | − | 15.1569i | 1.07445 | − | 0.620332i | ||||
\(598\) | 2.99649 | − | 6.04538i | 0.122535 | − | 0.247214i | ||||
\(599\) | −8.08576 | − | 6.78475i | −0.330375 | − | 0.277218i | 0.462478 | − | 0.886631i | \(-0.346961\pi\) |
−0.792853 | + | 0.609413i | \(0.791405\pi\) | |||||||
\(600\) | 5.26008 | − | 15.1919i | 0.214742 | − | 0.620207i | ||||
\(601\) | 1.64176 | − | 2.84362i | 0.0669689 | − | 0.115994i | −0.830597 | − | 0.556874i | \(-0.812001\pi\) |
0.897566 | + | 0.440881i | \(0.145334\pi\) | |||||||
\(602\) | −1.95290 | − | 2.93557i | −0.0795943 | − | 0.119645i | ||||
\(603\) | −6.72786 | + | 1.18630i | −0.273980 | + | 0.0483100i | ||||
\(604\) | 6.08155 | + | 19.5641i | 0.247455 | + | 0.796052i | ||||
\(605\) | 2.01294 | − | 5.53051i | 0.0818377 | − | 0.224847i | ||||
\(606\) | −20.0418 | + | 27.2178i | −0.814141 | + | 1.10565i | ||||
\(607\) | −37.4640 | −1.52062 | −0.760308 | − | 0.649563i | \(-0.774952\pi\) | ||||
−0.760308 | + | 0.649563i | \(0.774952\pi\) | |||||||
\(608\) | 5.01616 | + | 24.1420i | 0.203432 | + | 0.979089i | ||||
\(609\) | −1.48835 | −0.0603111 | ||||||||
\(610\) | −4.66900 | + | 6.34075i | −0.189042 | + | 0.256729i | ||||
\(611\) | −7.93101 | + | 21.7903i | −0.320854 | + | 0.881540i | ||||
\(612\) | 0.314892 | + | 1.01300i | 0.0127288 | + | 0.0409479i | ||||
\(613\) | −20.5999 | + | 3.63232i | −0.832021 | + | 0.146708i | −0.573405 | − | 0.819272i | \(-0.694378\pi\) |
−0.258617 | + | 0.965980i | \(0.583267\pi\) | |||||||
\(614\) | −19.6584 | − | 29.5503i | −0.793350 | − | 1.19255i | ||||
\(615\) | 3.51202 | − | 6.08299i | 0.141618 | − | 0.245290i | ||||
\(616\) | 1.10566 | − | 3.19330i | 0.0445482 | − | 0.128662i | ||||
\(617\) | −6.28386 | − | 5.27279i | −0.252979 | − | 0.212274i | 0.507475 | − | 0.861666i | \(-0.330579\pi\) |
−0.760454 | + | 0.649392i | \(0.775023\pi\) | |||||||
\(618\) | −7.66178 | + | 15.4576i | −0.308202 | + | 0.621794i | ||||
\(619\) | 20.8321 | − | 12.0274i | 0.837312 | − | 0.483423i | −0.0190374 | − | 0.999819i | \(-0.506060\pi\) |
0.856350 | + | 0.516396i | \(0.172727\pi\) | |||||||
\(620\) | −4.10037 | − | 0.195665i | −0.164675 | − | 0.00785808i | ||||
\(621\) | −3.41221 | − | 9.37496i | −0.136927 | − | 0.376204i | ||||
\(622\) | 18.6832 | + | 42.6951i | 0.749127 | + | 1.71192i | ||||
\(623\) | −0.906018 | + | 5.13828i | −0.0362989 | + | 0.205861i | ||||
\(624\) | −12.8224 | + | 8.82448i | −0.513309 | + | 0.353262i | ||||
\(625\) | 7.92621 | − | 6.65088i | 0.317049 | − | 0.266035i | ||||
\(626\) | −7.68776 | + | 1.86469i | −0.307265 | + | 0.0745281i | ||||
\(627\) | −5.75112 | − | 13.1840i | −0.229678 | − | 0.526518i | ||||
\(628\) | −14.5273 | − | 28.1847i | −0.579701 | − | 1.12469i | ||||
\(629\) | −1.58873 | − | 1.89338i | −0.0633469 | − | 0.0754938i | ||||
\(630\) | 0.0777843 | − | 0.697196i | 0.00309900 | − | 0.0277770i | ||||
\(631\) | 6.83149 | − | 38.7433i | 0.271957 | − | 1.54235i | −0.476506 | − | 0.879171i | \(-0.658097\pi\) |
0.748463 | − | 0.663176i | \(-0.230792\pi\) | |||||||
\(632\) | 16.8818 | + | 13.7185i | 0.671520 | + | 0.545691i | ||||
\(633\) | −19.8332 | + | 7.21869i | −0.788298 | + | 0.286917i | ||||
\(634\) | 33.2109 | + | 9.75309i | 1.31897 | + | 0.387345i | ||||
\(635\) | −6.50425 | + | 3.75523i | −0.258113 | + | 0.149022i | ||||
\(636\) | 40.4715 | + | 9.14440i | 1.60480 | + | 0.362599i | ||||
\(637\) | −11.6946 | + | 13.9371i | −0.463358 | + | 0.552208i | ||||
\(638\) | 4.44119 | + | 4.65818i | 0.175829 | + | 0.184419i | ||||
\(639\) | 7.15699 | − | 12.3963i | 0.283126 | − | 0.490389i | ||||
\(640\) | −10.4713 | + | 4.98065i | −0.413915 | + | 0.196877i | ||||
\(641\) | 3.70710 | + | 21.0240i | 0.146422 | + | 0.830399i | 0.966215 | + | 0.257739i | \(0.0829774\pi\) |
−0.819793 | + | 0.572660i | \(0.805911\pi\) | |||||||
\(642\) | 0.135006 | + | 2.12574i | 0.00532827 | + | 0.0838962i | ||||
\(643\) | −9.72280 | + | 26.7132i | −0.383430 | + | 1.05346i | 0.586472 | + | 0.809969i | \(0.300516\pi\) |
−0.969902 | + | 0.243496i | \(0.921706\pi\) | |||||||
\(644\) | 0.710547 | − | 1.69595i | 0.0279995 | − | 0.0668300i | ||||
\(645\) | − | 7.05739i | − | 0.277884i | ||||||
\(646\) | 1.04100 | + | 3.36258i | 0.0409578 | + | 0.132299i | ||||
\(647\) | −6.57050 | −0.258313 | −0.129157 | − | 0.991624i | \(-0.541227\pi\) | ||||
−0.129157 | + | 0.991624i | \(0.541227\pi\) | |||||||
\(648\) | −2.39302 | + | 14.9434i | −0.0940066 | + | 0.587033i | ||||
\(649\) | −11.9546 | − | 4.35113i | −0.469260 | − | 0.170797i | ||||
\(650\) | −15.0727 | + | 0.957272i | −0.591200 | + | 0.0375473i | ||||
\(651\) | −1.47893 | + | 0.260775i | −0.0579638 | + | 0.0102206i | ||||
\(652\) | 26.1304 | + | 24.1395i | 1.02335 | + | 0.945375i | ||||
\(653\) | 12.7918 | + | 7.38536i | 0.500583 | + | 0.289011i | 0.728954 | − | 0.684563i | \(-0.240007\pi\) |
−0.228372 | + | 0.973574i | \(0.573340\pi\) | |||||||
\(654\) | −22.3377 | − | 23.4290i | −0.873473 | − | 0.916148i | ||||
\(655\) | −7.02236 | − | 5.89246i | −0.274386 | − | 0.230237i | ||||
\(656\) | 18.4387 | − | 4.78092i | 0.719909 | − | 0.186663i | ||||
\(657\) | 1.18526 | + | 2.05293i | 0.0462413 | + | 0.0800923i | ||||
\(658\) | −1.78065 | + | 6.06341i | −0.0694169 | + | 0.236376i | ||||
\(659\) | −11.5646 | − | 31.7734i | −0.450492 | − | 1.23772i | −0.932379 | − | 0.361483i | \(-0.882271\pi\) |
0.481887 | − | 0.876233i | \(-0.339952\pi\) | |||||||
\(660\) | 5.38296 | − | 4.09596i | 0.209531 | − | 0.159435i | ||||
\(661\) | 6.87804 | + | 1.21278i | 0.267525 | + | 0.0471718i | 0.305801 | − | 0.952095i | \(-0.401076\pi\) |
−0.0382767 | + | 0.999267i | \(0.512187\pi\) | |||||||
\(662\) | −2.89743 | + | 25.9703i | −0.112612 | + | 1.00936i | ||||
\(663\) | −1.70221 | + | 1.42832i | −0.0661084 | + | 0.0554715i | ||||
\(664\) | 20.8880 | + | 24.1121i | 0.810613 | + | 0.935732i | ||||
\(665\) | 0.260781 | − | 2.31317i | 0.0101126 | − | 0.0897009i | ||||
\(666\) | 1.34027 | + | 5.52565i | 0.0519342 | + | 0.214114i | ||||
\(667\) | 2.25109 | + | 2.68274i | 0.0871624 | + | 0.103876i | ||||
\(668\) | 8.00738 | − | 1.02122i | 0.309815 | − | 0.0395123i | ||||
\(669\) | −36.5190 | − | 6.43928i | −1.41190 | − | 0.248957i | ||||
\(670\) | −4.27365 | − | 9.76621i | −0.165106 | − | 0.377302i | ||||
\(671\) | 11.7055 | − | 4.26047i | 0.451888 | − | 0.164474i | ||||
\(672\) | −3.33496 | + | 2.62153i | −0.128649 | + | 0.101128i | ||||
\(673\) | 3.28033 | + | 5.68170i | 0.126448 | + | 0.219014i | 0.922298 | − | 0.386480i | \(-0.126309\pi\) |
−0.795850 | + | 0.605493i | \(0.792976\pi\) | |||||||
\(674\) | 18.3365 | + | 9.08878i | 0.706297 | + | 0.350087i | ||||
\(675\) | −14.3545 | + | 17.1070i | −0.552505 | + | 0.658450i | ||||
\(676\) | −9.57058 | − | 6.15176i | −0.368099 | − | 0.236606i | ||||
\(677\) | 20.5163 | + | 11.8451i | 0.788504 | + | 0.455243i | 0.839435 | − | 0.543459i | \(-0.182886\pi\) |
−0.0509319 | + | 0.998702i | \(0.516219\pi\) | |||||||
\(678\) | −16.4107 | − | 24.6683i | −0.630248 | − | 0.947380i | ||||
\(679\) | −0.908396 | − | 5.15177i | −0.0348610 | − | 0.197707i | ||||
\(680\) | −1.42035 | + | 0.850127i | −0.0544678 | + | 0.0326009i | ||||
\(681\) | −3.99723 | − | 1.45487i | −0.153174 | − | 0.0557508i | ||||
\(682\) | 5.22924 | + | 3.85054i | 0.200238 | + | 0.147445i | ||||
\(683\) | 29.5400i | 1.13032i | 0.824982 | + | 0.565159i | \(0.191185\pi\) | ||||
−0.824982 | + | 0.565159i | \(0.808815\pi\) | |||||||
\(684\) | 1.28967 | − | 7.99431i | 0.0493120 | − | 0.305670i | ||||
\(685\) | − | 15.1859i | − | 0.580223i | ||||||
\(686\) | −5.99845 | + | 8.14621i | −0.229022 | + | 0.311024i | ||||
\(687\) | 10.4287 | + | 3.79573i | 0.397879 | + | 0.144816i | ||||
\(688\) | 13.6424 | − | 13.4232i | 0.520111 | − | 0.511754i | ||||
\(689\) | −6.76858 | − | 38.3865i | −0.257863 | − | 1.46241i | ||||
\(690\) | 3.06442 | − | 2.03861i | 0.116660 | − | 0.0776087i | ||||
\(691\) | 14.0655 | + | 8.12071i | 0.535076 | + | 0.308926i | 0.743081 | − | 0.669201i | \(-0.233364\pi\) |
−0.208005 | + | 0.978128i | \(0.566697\pi\) | |||||||
\(692\) | 7.64491 | − | 11.8935i | 0.290616 | − | 0.452125i | ||||
\(693\) | −0.713350 | + | 0.850137i | −0.0270979 | + | 0.0322940i | ||||
\(694\) | 11.6464 | − | 23.4964i | 0.442090 | − | 0.891913i | ||||
\(695\) | −5.97439 | − | 10.3480i | −0.226622 | − | 0.392520i | ||||
\(696\) | −1.52799 | − | 7.93326i | −0.0579183 | − | 0.300709i | ||||
\(697\) | 2.55528 | − | 0.930047i | 0.0967882 | − | 0.0352280i | ||||
\(698\) | 19.7744 | − | 8.65318i | 0.748470 | − | 0.327528i | ||||
\(699\) | −26.5590 | − | 4.68307i | −1.00455 | − | 0.177130i | ||||
\(700\) | −4.08287 | + | 0.520709i | −0.154318 | + | 0.0196809i | ||||
\(701\) | −11.4422 | − | 13.6363i | −0.432167 | − | 0.515037i | 0.505379 | − | 0.862897i | \(-0.331353\pi\) |
−0.937546 | + | 0.347861i | \(0.886908\pi\) | |||||||
\(702\) | 21.0123 | − | 5.09661i | 0.793058 | − | 0.192359i | ||||
\(703\) | 4.42614 | + | 18.3406i | 0.166935 | + | 0.691728i | ||||
\(704\) | 18.1562 | + | 2.61506i | 0.684286 | + | 0.0985589i | ||||
\(705\) | −9.68987 | + | 8.13076i | −0.364941 | + | 0.306222i | ||||
\(706\) | −10.7184 | − | 1.19582i | −0.403391 | − | 0.0450052i | ||||
\(707\) | 8.52209 | + | 1.50267i | 0.320506 | + | 0.0565139i | ||||
\(708\) | 9.67024 | + | 12.7087i | 0.363430 | + | 0.477623i | ||||
\(709\) | 9.47172 | + | 26.0233i | 0.355718 | + | 0.977327i | 0.980499 | + | 0.196526i | \(0.0629661\pi\) |
−0.624781 | + | 0.780800i | \(0.714812\pi\) | |||||||
\(710\) | 21.4310 | + | 6.29367i | 0.804291 | + | 0.236197i | ||||
\(711\) | −3.57187 | − | 6.18667i | −0.133956 | − | 0.232018i | ||||
\(712\) | −28.3184 | + | 0.445839i | −1.06128 | + | 0.0167085i | ||||
\(713\) | 2.70688 | + | 2.27134i | 0.101373 | + | 0.0850624i | ||||
\(714\) | −0.438287 | + | 0.417871i | −0.0164025 | + | 0.0156384i | ||||
\(715\) | −5.50310 | − | 3.17722i | −0.205804 | − | 0.118821i | ||||
\(716\) | −16.4932 | − | 15.2366i | −0.616381 | − | 0.569418i | ||||
\(717\) | −32.5331 | + | 5.73647i | −1.21497 | + | 0.214232i | ||||
\(718\) | 1.55520 | + | 24.4873i | 0.0580394 | + | 0.913857i | ||||
\(719\) | 18.6020 | + | 6.77058i | 0.693738 | + | 0.252500i | 0.664735 | − | 0.747079i | \(-0.268545\pi\) |
0.0290030 | + | 0.999579i | \(0.490767\pi\) | |||||||
\(720\) | 3.79607 | − | 0.301156i | 0.141471 | − | 0.0112234i | ||||
\(721\) | 4.41688 | 0.164493 | ||||||||
\(722\) | 4.31011 | − | 26.5221i | 0.160406 | − | 0.987051i | ||||
\(723\) | − | 38.6475i | − | 1.43732i | ||||||
\(724\) | −34.0679 | − | 14.2733i | −1.26612 | − | 0.530463i | ||||
\(725\) | 2.68110 | − | 7.36627i | 0.0995737 | − | 0.273577i | ||||
\(726\) | 11.6638 | − | 0.740773i | 0.432885 | − | 0.0274927i | ||||
\(727\) | 1.52884 | + | 8.67049i | 0.0567016 | + | 0.321571i | 0.999945 | − | 0.0105328i | \(-0.00335277\pi\) |
−0.943243 | + | 0.332104i | \(0.892242\pi\) | |||||||
\(728\) | 3.48210 | + | 1.93796i | 0.129055 | + | 0.0718254i | ||||
\(729\) | 14.6908 | − | 25.4452i | 0.544104 | − | 0.942416i | ||||
\(730\) | −2.67722 | + | 2.55251i | −0.0990884 | + | 0.0944728i | ||||
\(731\) | 1.75622 | − | 2.09298i | 0.0649560 | − | 0.0774116i | ||||
\(732\) | −15.2523 | − | 3.44621i | −0.563741 | − | 0.127376i | ||||
\(733\) | −28.2903 | + | 16.3334i | −1.04493 | + | 0.603288i | −0.921225 | − | 0.389031i | \(-0.872810\pi\) |
−0.123701 | + | 0.992319i | \(0.539477\pi\) | |||||||
\(734\) | 12.2245 | − | 41.6264i | 0.451214 | − | 1.53646i | ||||
\(735\) | −9.32592 | + | 3.39436i | −0.343992 | + | 0.125203i | ||||
\(736\) | 9.76930 | + | 2.04626i | 0.360101 | + | 0.0754261i | ||||
\(737\) | −2.92843 | + | 16.6080i | −0.107870 | + | 0.611762i | ||||
\(738\) | −6.21700 | − | 0.693613i | −0.228851 | − | 0.0255323i | ||||
\(739\) | 0.539151 | + | 0.642535i | 0.0198330 | + | 0.0236360i | 0.775870 | − | 0.630893i | \(-0.217311\pi\) |
−0.756037 | + | 0.654529i | \(0.772867\pi\) | |||||||
\(740\) | −7.88646 | + | 4.06493i | −0.289912 | + | 0.149430i | ||||
\(741\) | 16.4888 | − | 3.97925i | 0.605732 | − | 0.146181i | ||||
\(742\) | −2.50395 | − | 10.3233i | −0.0919228 | − | 0.378979i | ||||
\(743\) | 29.4767 | − | 24.7339i | 1.08139 | − | 0.907397i | 0.0853579 | − | 0.996350i | \(-0.472797\pi\) |
0.996036 | + | 0.0889533i | \(0.0283522\pi\) | |||||||
\(744\) | −2.90831 | − | 7.61532i | −0.106624 | − | 0.279191i | ||||
\(745\) | 0.826548 | − | 4.68759i | 0.0302824 | − | 0.171740i | ||||
\(746\) | 22.3808 | − | 9.79375i | 0.819419 | − | 0.358575i | ||||
\(747\) | −3.58320 | − | 9.84476i | −0.131102 | − | 0.360201i | ||||
\(748\) | 2.61567 | + | 0.124817i | 0.0956384 | + | 0.00456375i | ||||
\(749\) | 0.472264 | − | 0.272662i | 0.0172561 | − | 0.00996284i | ||||
\(750\) | −16.7263 | − | 8.29066i | −0.610760 | − | 0.302732i | ||||
\(751\) | 35.5432 | + | 29.8243i | 1.29699 | + | 1.08830i | 0.990657 | + | 0.136380i | \(0.0435468\pi\) |
0.306334 | + | 0.951924i | \(0.400898\pi\) | |||||||
\(752\) | −34.1474 | − | 3.26639i | −1.24523 | − | 0.119113i | ||||
\(753\) | 3.03959 | − | 5.26473i | 0.110769 | − | 0.191857i | ||||
\(754\) | −6.31918 | + | 4.20386i | −0.230131 | + | 0.153095i | ||||
\(755\) | 10.3394 | − | 1.82311i | 0.376289 | − | 0.0663499i | ||||
\(756\) | 5.62679 | − | 1.74910i | 0.204644 | − | 0.0636142i | ||||
\(757\) | −5.97797 | + | 16.4244i | −0.217273 | + | 0.596953i | −0.999666 | − | 0.0258317i | \(-0.991777\pi\) |
0.782393 | + | 0.622785i | \(0.213999\pi\) | |||||||
\(758\) | −39.0803 | − | 28.7767i | −1.41946 | − | 1.04522i | ||||
\(759\) | −5.82249 | −0.211343 | ||||||||
\(760\) | 12.5975 | − | 0.984751i | 0.456958 | − | 0.0357207i | ||||
\(761\) | 14.4597 | 0.524164 | 0.262082 | − | 0.965046i | \(-0.415591\pi\) | ||||
0.262082 | + | 0.965046i | \(0.415591\pi\) | |||||||
\(762\) | −12.0096 | − | 8.84328i | −0.435063 | − | 0.320358i | ||||
\(763\) | −2.83453 | + | 7.78779i | −0.102617 | + | 0.281937i | ||||
\(764\) | −4.15372 | − | 13.3624i | −0.150276 | − | 0.483433i | ||||
\(765\) | 0.535356 | − | 0.0943978i | 0.0193559 | − | 0.00341296i | ||||
\(766\) | −2.24472 | + | 1.49331i | −0.0811052 | + | 0.0539555i | ||||
\(767\) | 7.50116 | − | 12.9924i | 0.270851 | − | 0.469128i | ||||
\(768\) | −17.3971 | − | 15.0848i | −0.627764 | − | 0.544325i | ||||
\(769\) | −21.6276 | − | 18.1477i | −0.779911 | − | 0.654423i | 0.163315 | − | 0.986574i | \(-0.447781\pi\) |
−0.943226 | + | 0.332151i | \(0.892226\pi\) | |||||||
\(770\) | −1.55159 | − | 0.769068i | −0.0559154 | − | 0.0277153i | ||||
\(771\) | −21.1222 | + | 12.1949i | −0.760697 | + | 0.439189i | ||||
\(772\) | −1.76521 | + | 36.9919i | −0.0635312 | + | 1.33137i | ||||
\(773\) | −12.5407 | − | 34.4554i | −0.451059 | − | 1.23928i | −0.931980 | − | 0.362511i | \(-0.881920\pi\) |
0.480920 | − | 0.876764i | \(-0.340303\pi\) | |||||||
\(774\) | −5.75810 | + | 2.51972i | −0.206971 | + | 0.0905695i | ||||
\(775\) | 1.37348 | − | 7.78940i | 0.0493369 | − | 0.279803i | ||||
\(776\) | 26.5275 | − | 10.1309i | 0.952283 | − | 0.363679i | ||||
\(777\) | −2.48643 | + | 2.08636i | −0.0892001 | + | 0.0748477i | ||||
\(778\) | 0.554702 | + | 2.28693i | 0.0198870 | + | 0.0819903i | ||||
\(779\) | −20.6269 | − | 2.32542i | −0.739034 | − | 0.0833167i | ||||
\(780\) | 3.65451 | + | 7.09020i | 0.130852 | + | 0.253870i | ||||
\(781\) | −22.7126 | − | 27.0678i | −0.812721 | − | 0.968563i | ||||
\(782\) | 1.41610 | + | 0.157991i | 0.0506398 | + | 0.00564974i | ||||
\(783\) | −1.94874 | + | 11.0519i | −0.0696423 | + | 0.394961i | ||||
\(784\) | −24.2994 | − | 11.5715i | −0.867837 | − | 0.413268i | ||||
\(785\) | −15.2691 | + | 5.55749i | −0.544977 | + | 0.198355i | ||||
\(786\) | 5.12935 | − | 17.4663i | 0.182958 | − | 0.623002i | ||||
\(787\) | 14.0813 | − | 8.12982i | 0.501943 | − | 0.289797i | −0.227573 | − | 0.973761i | \(-0.573079\pi\) |
0.729516 | + | 0.683964i | \(0.239746\pi\) | |||||||
\(788\) | −6.26026 | + | 27.7068i | −0.223013 | + | 0.987013i | ||||
\(789\) | 5.57800 | − | 6.64760i | 0.198582 | − | 0.236661i | ||||
\(790\) | 8.06804 | − | 7.69222i | 0.287048 | − | 0.273677i | ||||
\(791\) | −3.79268 | + | 6.56912i | −0.134852 | + | 0.233571i | ||||
\(792\) | −5.26378 | − | 2.92954i | −0.187040 | − | 0.104097i | ||||
\(793\) | 2.55085 | + | 14.4666i | 0.0905832 | + | 0.513723i | ||||
\(794\) | −19.2638 | + | 1.22345i | −0.683647 | + | 0.0434186i | ||||
\(795\) | 7.27221 | − | 19.9802i | 0.257919 | − | 0.708626i | ||||
\(796\) | 16.2790 | − | 38.8553i | 0.576995 | − | 1.37719i | ||||
\(797\) | 32.4295i | 1.14871i | 0.818605 | + | 0.574357i | \(0.194748\pi\) | ||||
−0.818605 | + | 0.574357i | \(0.805252\pi\) | |||||||
\(798\) | 4.41582 | − | 1.36707i | 0.156318 | − | 0.0483939i | ||||
\(799\) | −4.89700 | −0.173244 | ||||||||
\(800\) | −6.96710 | − | 21.2281i | −0.246324 | − | 0.750525i | ||||
\(801\) | 8.74010 | + | 3.18114i | 0.308816 | + | 0.112400i | ||||
\(802\) | 0.579700 | + | 9.12764i | 0.0204699 | + | 0.322308i | ||||
\(803\) | 5.76280 | − | 1.01614i | 0.203365 | − | 0.0358587i | ||||
\(804\) | 14.3649 | − | 15.5496i | 0.506609 | − | 0.548392i | ||||
\(805\) | −0.816048 | − | 0.471146i | −0.0287619 | − | 0.0166057i | ||||
\(806\) | −5.54261 | + | 5.28443i | −0.195230 | + | 0.186136i | ||||
\(807\) | 11.5148 | + | 9.66204i | 0.405339 | + | 0.340120i | ||||
\(808\) | 0.739445 | + | 46.9674i | 0.0260136 | + | 1.65231i | ||||
\(809\) | −9.65310 | − | 16.7197i | −0.339385 | − | 0.587832i | 0.644932 | − | 0.764240i | \(-0.276886\pi\) |
−0.984317 | + | 0.176408i | \(0.943552\pi\) | |||||||
\(810\) | 7.44112 | + | 2.18525i | 0.261454 | + | 0.0767817i | ||||
\(811\) | −3.22472 | − | 8.85984i | −0.113235 | − | 0.311111i | 0.870110 | − | 0.492857i | \(-0.164047\pi\) |
−0.983346 | + | 0.181746i | \(0.941825\pi\) | |||||||
\(812\) | −1.64605 | + | 1.25250i | −0.0577649 | + | 0.0439541i | ||||
\(813\) | 1.35201 | + | 0.238395i | 0.0474169 | + | 0.00836088i | ||||
\(814\) | 13.9492 | + | 1.55628i | 0.488920 | + | 0.0545474i | ||||
\(815\) | 13.9650 | − | 11.7180i | 0.489173 | − | 0.410465i | ||||
\(816\) | −2.67731 | − | 1.90717i | −0.0937246 | − | 0.0667644i | ||||
\(817\) | −19.1164 | + | 8.33897i | −0.668800 | + | 0.291744i | ||||
\(818\) | −41.0431 | + | 9.95514i | −1.43504 | + | 0.348073i | ||||
\(819\) | −0.841222 | − | 1.00253i | −0.0293947 | − | 0.0350312i | ||||
\(820\) | −1.23492 | − | 9.68298i | −0.0431252 | − | 0.338144i | ||||
\(821\) | 38.2508 | + | 6.74464i | 1.33496 | + | 0.235390i | 0.795158 | − | 0.606402i | \(-0.207388\pi\) |
0.539802 | + | 0.841792i | \(0.318499\pi\) | |||||||
\(822\) | 27.6268 | − | 12.0894i | 0.963594 | − | 0.421665i | ||||
\(823\) | 23.2824 | − | 8.47409i | 0.811572 | − | 0.295388i | 0.0972989 | − | 0.995255i | \(-0.468980\pi\) |
0.714273 | + | 0.699867i | \(0.246757\pi\) | |||||||
\(824\) | 4.53450 | + | 23.5430i | 0.157967 | + | 0.820158i | ||||
\(825\) | 6.51653 | + | 11.2870i | 0.226876 | + | 0.392961i | ||||
\(826\) | 1.81571 | − | 3.66318i | 0.0631766 | − | 0.127458i | ||||
\(827\) | 24.1355 | − | 28.7636i | 0.839274 | − | 1.00021i | −0.160639 | − | 0.987013i | \(-0.551356\pi\) |
0.999913 | − | 0.0131942i | \(-0.00419996\pi\) | |||||||
\(828\) | −2.75740 | − | 1.77239i | −0.0958262 | − | 0.0615949i | ||||
\(829\) | −36.9997 | − | 21.3618i | −1.28505 | − | 0.741925i | −0.307285 | − | 0.951618i | \(-0.599421\pi\) |
−0.977767 | + | 0.209692i | \(0.932754\pi\) | |||||||
\(830\) | 13.6112 | − | 9.05493i | 0.472453 | − | 0.314301i | ||||
\(831\) | 3.98979 | + | 22.6272i | 0.138404 | + | 0.784930i | ||||
\(832\) | −6.75492 | + | 20.5500i | −0.234185 | + | 0.712442i | ||||
\(833\) | −3.61042 | − | 1.31409i | −0.125094 | − | 0.0455304i | ||||
\(834\) | 14.0692 | − | 19.1068i | 0.487178 | − | 0.661614i | ||||
\(835\) | − | 4.13664i | − | 0.143154i | ||||||
\(836\) | −17.4553 | − | 9.74112i | −0.603703 | − | 0.336904i | ||||
\(837\) | 11.3233i | 0.391391i | ||||||||
\(838\) | 27.0563 | + | 19.9229i | 0.934644 | + | 0.688224i | ||||
\(839\) | −7.05452 | − | 2.56763i | −0.243549 | − | 0.0886446i | 0.217362 | − | 0.976091i | \(-0.430255\pi\) |
−0.460911 | + | 0.887447i | \(0.652477\pi\) | |||||||
\(840\) | 1.11641 | + | 1.86523i | 0.0385197 | + | 0.0643567i | ||||
\(841\) | 4.35174 | + | 24.6799i | 0.150060 | + | 0.851032i | ||||
\(842\) | −21.8314 | − | 32.8167i | −0.752361 | − | 1.13094i | ||||
\(843\) | 17.2545 | + | 9.96192i | 0.594278 | + | 0.343107i | ||||
\(844\) | −15.8598 | + | 24.6738i | −0.545916 | + | 0.849308i | ||||
\(845\) | −3.74762 | + | 4.46624i | −0.128922 | + | 0.153643i | ||||
\(846\) | 10.0935 | + | 5.00298i | 0.347021 | + | 0.172006i | ||||
\(847\) | −1.49608 | − | 2.59129i | −0.0514059 | − | 0.0890377i | ||||
\(848\) | 52.4548 | − | 23.9448i | 1.80131 | − | 0.822269i | ||||
\(849\) | −7.01199 | + | 2.55215i | −0.240651 | + | 0.0875897i | ||||
\(850\) | −1.27864 | − | 2.92196i | −0.0438569 | − | 0.100222i | ||||
\(851\) | 7.52129 | + | 1.32621i | 0.257826 | + | 0.0454617i | ||||
\(852\) | 5.61135 | + | 43.9985i | 0.192242 | + | 1.50736i | ||||
\(853\) | 35.9943 | + | 42.8963i | 1.23242 | + | 1.46874i | 0.834209 | + | 0.551449i | \(0.185925\pi\) |
0.398212 | + | 0.917293i | \(0.369631\pi\) | |||||||
\(854\) | 0.943652 | + | 3.89049i | 0.0322911 | + | 0.133130i | ||||
\(855\) | −3.98018 | − | 1.17386i | −0.136119 | − | 0.0401453i | ||||
\(856\) | 1.93819 | + | 2.23735i | 0.0662460 | + | 0.0764711i | ||||
\(857\) | 20.3657 | − | 17.0889i | 0.695679 | − | 0.583744i | −0.224861 | − | 0.974391i | \(-0.572193\pi\) |
0.920541 | + | 0.390647i | \(0.127749\pi\) | |||||||
\(858\) | 1.39915 | − | 12.5408i | 0.0477660 | − | 0.428137i | ||||
\(859\) | 41.6574 | + | 7.34532i | 1.42133 | + | 0.250619i | 0.830879 | − | 0.556454i | \(-0.187838\pi\) |
0.590452 | + | 0.807073i | \(0.298949\pi\) | |||||||
\(860\) | −5.93903 | − | 7.80514i | −0.202519 | − | 0.266153i | ||||
\(861\) | −1.22136 | − | 3.35566i | −0.0416238 | − | 0.114361i | ||||
\(862\) | −4.94739 | + | 16.8467i | −0.168509 | + | 0.573800i | ||||
\(863\) | 5.94784 | + | 10.3020i | 0.202467 | + | 0.350683i | 0.949323 | − | 0.314303i | \(-0.101771\pi\) |
−0.746856 | + | 0.664986i | \(0.768438\pi\) | |||||||
\(864\) | 15.0998 | + | 28.1964i | 0.513704 | + | 0.959261i | ||||
\(865\) | −5.55028 | − | 4.65724i | −0.188715 | − | 0.158351i | ||||
\(866\) | 7.16904 | + | 7.51929i | 0.243614 | + | 0.255516i | ||||
\(867\) | 20.7813 | + | 11.9981i | 0.705770 | + | 0.407476i | ||||
\(868\) | −1.41617 | + | 1.53297i | −0.0480681 | + | 0.0520325i | ||||
\(869\) | −17.3667 | + | 3.06221i | −0.589124 | + | 0.103879i | ||||
\(870\) | −4.13182 | + | 0.262413i | −0.140082 | + | 0.00889664i | ||||
\(871\) | −18.6878 | − | 6.80181i | −0.633213 | − | 0.230471i | ||||
\(872\) | −44.4208 | − | 7.11348i | −1.50428 | − | 0.240893i | ||||
\(873\) | −9.32543 | −0.315618 | ||||||||
\(874\) | −9.14292 | − | 5.89181i | −0.309264 | − | 0.199293i | ||||
\(875\) | 4.77942i | 0.161574i | ||||||||
\(876\) | −6.77495 | − | 2.83847i | −0.228904 | − | 0.0959031i | ||||
\(877\) | −5.70032 | + | 15.6615i | −0.192486 | + | 0.528851i | −0.997964 | − | 0.0637741i | \(-0.979686\pi\) |
0.805478 | + | 0.592625i | \(0.201909\pi\) | |||||||
\(878\) | 0.196671 | + | 3.09668i | 0.00663732 | + | 0.104508i | ||||
\(879\) | 7.20785 | + | 40.8777i | 0.243115 | + | 1.37877i | ||||
\(880\) | 2.50640 | − | 9.05988i | 0.0844908 | − | 0.305408i | ||||
\(881\) | 8.75354 | − | 15.1616i | 0.294914 | − | 0.510807i | −0.680051 | − | 0.733165i | \(-0.738042\pi\) |
0.974965 | + | 0.222358i | \(0.0713755\pi\) | |||||||
\(882\) | 6.09911 | + | 6.39709i | 0.205368 | + | 0.215401i | ||||
\(883\) | 32.2895 | − | 38.4812i | 1.08663 | − | 1.29499i | 0.133959 | − | 0.990987i | \(-0.457231\pi\) |
0.952670 | − | 0.304007i | \(-0.0983247\pi\) | |||||||
\(884\) | −0.680580 | + | 3.01212i | −0.0228904 | + | 0.101309i | ||||
\(885\) | 7.08722 | − | 4.09181i | 0.238234 | − | 0.137545i | ||||
\(886\) | −22.3225 | − | 6.55547i | −0.749938 | − | 0.220235i | ||||
\(887\) | −42.6746 | + | 15.5323i | −1.43287 | + | 0.521523i | −0.937753 | − | 0.347302i | \(-0.887098\pi\) |
−0.495119 | + | 0.868825i | \(0.664876\pi\) | |||||||
\(888\) | −13.6734 | − | 11.1113i | −0.458850 | − | 0.372871i | ||||
\(889\) | −0.663044 | + | 3.76031i | −0.0222378 | + | 0.126117i | ||||
\(890\) | −1.60926 | + | 14.4241i | −0.0539426 | + | 0.483498i | ||||
\(891\) | −7.88611 | − | 9.39831i | −0.264195 | − | 0.314855i | ||||
\(892\) | −45.8071 | + | 23.6104i | −1.53374 | + | 0.790535i | ||||
\(893\) | 33.4734 | + | 16.6398i | 1.12014 | + | 0.556830i | ||||
\(894\) | 9.18585 | − | 2.22806i | 0.307221 | − | 0.0745175i | ||||
\(895\) | −8.81456 | + | 7.39630i | −0.294638 | + | 0.247231i | ||||
\(896\) | −1.48221 | + | 5.70577i | −0.0495170 | + | 0.190616i | ||||
\(897\) | 1.19230 | − | 6.76189i | 0.0398099 | − | 0.225773i | ||||
\(898\) | −0.893708 | − | 2.04231i | −0.0298234 | − | 0.0681529i | ||||
\(899\) | −1.35946 | − | 3.73509i | −0.0453406 | − | 0.124572i | ||||
\(900\) | −0.349727 | + | 7.32890i | −0.0116576 | + | 0.244297i | ||||
\(901\) | 7.12873 | − | 4.11577i | 0.237492 | − | 0.137116i | ||||
\(902\) | −6.85789 | + | 13.8357i | −0.228343 | + | 0.460680i | ||||
\(903\) | −2.74855 | − | 2.30631i | −0.0914660 | − | 0.0767491i | ||||
\(904\) | −38.9086 | − | 13.4718i | −1.29408 | − | 0.448066i | ||||
\(905\) | −9.46426 | + | 16.3926i | −0.314603 | + | 0.544908i | ||||
\(906\) | 11.5478 | + | 17.3585i | 0.383650 | + | 0.576697i | ||||
\(907\) | 35.5593 | − | 6.27006i | 1.18073 | − | 0.208194i | 0.451376 | − | 0.892334i | \(-0.350933\pi\) |
0.729351 | + | 0.684140i | \(0.239822\pi\) | |||||||
\(908\) | −5.64506 | + | 1.75478i | −0.187338 | + | 0.0582345i | ||||
\(909\) | 5.27607 | − | 14.4959i | 0.174996 | − | 0.480798i | ||||
\(910\) | 1.21088 | − | 1.64444i | 0.0401402 | − | 0.0545125i | ||||
\(911\) | −20.5501 | −0.680857 | −0.340428 | − | 0.940270i | \(-0.610572\pi\) | ||||
−0.340428 | + | 0.940270i | \(0.610572\pi\) | |||||||
\(912\) | 11.8202 | + | 22.1338i | 0.391407 | + | 0.732925i | ||||
\(913\) | −25.8618 | −0.855900 | ||||||||
\(914\) | −27.0333 | + | 36.7127i | −0.894183 | + | 1.21435i | ||||
\(915\) | −2.74065 | + | 7.52986i | −0.0906030 | + | 0.248930i | ||||
\(916\) | 14.7279 | − | 4.57819i | 0.486623 | − | 0.151268i | ||||
\(917\) | −4.58972 | + | 0.809291i | −0.151566 | + | 0.0267251i | ||||
\(918\) | 2.52907 | + | 3.80166i | 0.0834717 | + | 0.125474i | ||||
\(919\) | 13.7010 | − | 23.7309i | 0.451955 | − | 0.782809i | −0.546552 | − | 0.837425i | \(-0.684060\pi\) |
0.998507 | + | 0.0546156i | \(0.0173933\pi\) | |||||||
\(920\) | 1.67353 | − | 4.83342i | 0.0551748 | − | 0.159353i | ||||
\(921\) | −27.6676 | − | 23.2159i | −0.911679 | − | 0.764990i | ||||
\(922\) | 18.7916 | − | 37.9119i | 0.618868 | − | 1.24856i | ||||
\(923\) | 36.0860 | − | 20.8342i | 1.18778 | − | 0.685767i | ||||
\(924\) | 0.163912 | − | 3.43496i | 0.00539232 | − | 0.113002i | ||||
\(925\) | −5.84696 | − | 16.0644i | −0.192247 | − | 0.528194i | ||||
\(926\) | 1.23792 | + | 2.82890i | 0.0406804 | + | 0.0929635i | ||||
\(927\) | 1.36725 | − | 7.75409i | 0.0449065 | − | 0.254678i | ||||
\(928\) | −8.36599 | − | 7.48795i | −0.274627 | − | 0.245804i | ||||
\(929\) | −1.98228 | + | 1.66333i | −0.0650364 | + | 0.0545720i | −0.674726 | − | 0.738068i | \(-0.735738\pi\) |
0.609690 | + | 0.792640i | \(0.291294\pi\) | |||||||
\(930\) | −4.05968 | + | 0.984690i | −0.133122 | + | 0.0322893i | ||||
\(931\) | 20.2138 | + | 21.2505i | 0.662480 | + | 0.696456i | ||||
\(932\) | −33.3140 | + | 17.1711i | −1.09124 | + | 0.562457i | ||||
\(933\) | 30.4845 | + | 36.3300i | 0.998018 | + | 1.18939i | ||||
\(934\) | 3.67676 | − | 32.9555i | 0.120307 | − | 1.07834i | ||||
\(935\) | 0.233024 | − | 1.32155i | 0.00762071 | − | 0.0432192i | ||||
\(936\) | 4.48009 | − | 5.51314i | 0.146436 | − | 0.180203i | ||||
\(937\) | 7.12504 | − | 2.59330i | 0.232765 | − | 0.0847195i | −0.223004 | − | 0.974817i | \(-0.571586\pi\) |
0.455769 | + | 0.890098i | \(0.349364\pi\) | |||||||
\(938\) | −5.20012 | − | 1.52713i | −0.169790 | − | 0.0498624i | ||||
\(939\) | −6.97161 | + | 4.02506i | −0.227510 | + | 0.131353i | ||||
\(940\) | −3.87422 | + | 17.1466i | −0.126363 | + | 0.559260i | ||||
\(941\) | −32.6431 | + | 38.9025i | −1.06413 | + | 1.26819i | −0.102241 | + | 0.994760i | \(0.532601\pi\) |
−0.961893 | + | 0.273426i | \(0.911843\pi\) | |||||||
\(942\) | −22.2660 | − | 23.3539i | −0.725466 | − | 0.760910i | ||||
\(943\) | −4.20127 | + | 7.27682i | −0.136812 | + | 0.236966i | ||||
\(944\) | 21.3896 | + | 5.91741i | 0.696174 | + | 0.192595i | ||||
\(945\) | −0.524342 | − | 2.97369i | −0.0170568 | − | 0.0967342i | ||||
\(946\) | 0.983408 | + | 15.4842i | 0.0319734 | + | 0.503436i | ||||
\(947\) | 3.75096 | − | 10.3057i | 0.121890 | − | 0.334890i | −0.863709 | − | 0.503991i | \(-0.831864\pi\) |
0.985599 | + | 0.169102i | \(0.0540866\pi\) | |||||||
\(948\) | 20.4169 | + | 8.55398i | 0.663110 | + | 0.277820i | ||||
\(949\) | 6.90065i | 0.224005i | ||||||||
\(950\) | −1.18858 | + | 24.3177i | −0.0385627 | + | 0.788972i | ||||
\(951\) | 35.2236 | 1.14220 | ||||||||
\(952\) | −0.133072 | + | 0.830979i | −0.00431289 | + | 0.0269322i | ||||
\(953\) | 3.96871 | + | 1.44449i | 0.128559 | + | 0.0467916i | 0.405499 | − | 0.914096i | \(-0.367098\pi\) |
−0.276940 | + | 0.960887i | \(0.589320\pi\) | |||||||
\(954\) | −18.8982 | + | 1.20023i | −0.611853 | + | 0.0388590i | ||||
\(955\) | −7.06185 | + | 1.24519i | −0.228516 | + | 0.0402935i | ||||
\(956\) | −31.1526 | + | 33.7220i | −1.00755 | + | 1.09065i | ||||
\(957\) | 5.67204 | + | 3.27476i | 0.183351 | + | 0.105858i | ||||
\(958\) | −8.95587 | − | 9.39343i | −0.289351 | − | 0.303488i | ||||
\(959\) | −5.91425 | − | 4.96264i | −0.190981 | − | 0.160252i | ||||
\(960\) | −8.79599 | + | 7.86562i | −0.283889 | + | 0.253862i | ||||
\(961\) | 13.4947 | + | 23.3735i | 0.435313 | + | 0.753985i | ||||
\(962\) | −4.66383 | + | 15.8811i | −0.150368 | + | 0.512027i | ||||
\(963\) | −0.332483 | − | 0.913490i | −0.0107141 | − | 0.0294368i | ||||
\(964\) | −32.5232 | − | 42.7423i | −1.04750 | − | 1.37664i | ||||
\(965\) | 18.6898 | + | 3.29552i | 0.601647 | + | 0.106087i | ||||
\(966\) | 0.207478 | − | 1.85966i | 0.00667548 | − | 0.0598337i | ||||
\(967\) | −26.2597 | + | 22.0345i | −0.844454 | + | 0.708581i | −0.958561 | − | 0.284887i | \(-0.908044\pi\) |
0.114107 | + | 0.993468i | \(0.463599\pi\) | |||||||
\(968\) | 12.2762 | − | 10.6348i | 0.394573 | − | 0.341814i | ||||
\(969\) | 1.98061 | + | 2.98470i | 0.0636265 | + | 0.0958825i | ||||
\(970\) | −3.43011 | − | 14.1417i | −0.110134 | − | 0.454062i | ||||
\(971\) | 16.3611 | + | 19.4984i | 0.525052 | + | 0.625733i | 0.961768 | − | 0.273867i | \(-0.0883027\pi\) |
−0.436715 | + | 0.899600i | \(0.643858\pi\) | |||||||
\(972\) | −2.34356 | − | 18.3758i | −0.0751696 | − | 0.589404i | ||||
\(973\) | −5.98247 | − | 1.05487i | −0.191789 | − | 0.0338176i | ||||
\(974\) | 6.23602 | + | 14.2506i | 0.199815 | + | 0.456620i | ||||
\(975\) | −14.4424 | + | 5.25661i | −0.462528 | + | 0.168346i | ||||
\(976\) | −19.7684 | + | 9.02398i | −0.632772 | + | 0.288851i | ||||
\(977\) | 13.0060 | + | 22.5271i | 0.416099 | + | 0.720705i | 0.995543 | − | 0.0943073i | \(-0.0300636\pi\) |
−0.579444 | + | 0.815012i | \(0.696730\pi\) | |||||||
\(978\) | 32.4353 | + | 16.0771i | 1.03717 | + | 0.514088i | ||||
\(979\) | 14.7583 | − | 17.5883i | 0.471679 | − | 0.562125i | ||||
\(980\) | −7.45756 | + | 11.6021i | −0.238223 | + | 0.370615i | ||||
\(981\) | 12.7945 | + | 7.38691i | 0.408497 | + | 0.235846i | ||||
\(982\) | 25.8102 | + | 38.7974i | 0.823635 | + | 1.23808i | ||||
\(983\) | 0.838594 | + | 4.75590i | 0.0267470 | + | 0.151690i | 0.995256 | − | 0.0972876i | \(-0.0310167\pi\) |
−0.968509 | + | 0.248977i | \(0.919906\pi\) | |||||||
\(984\) | 16.6325 | − | 9.95516i | 0.530226 | − | 0.317359i | ||||
\(985\) | 13.6785 | + | 4.97856i | 0.435832 | + | 0.158630i | ||||
\(986\) | −1.29066 | − | 0.950372i | −0.0411028 | − | 0.0302660i | ||||
\(987\) | 6.43086i | 0.204697i | ||||||||
\(988\) | 14.8872 | − | 18.2768i | 0.473624 | − | 0.581461i | ||||
\(989\) | 8.44245i | 0.268454i | ||||||||
\(990\) | −1.83044 | + | 2.48584i | −0.0581753 | + | 0.0790052i | ||||
\(991\) | 8.08563 | + | 2.94293i | 0.256848 | + | 0.0934852i | 0.467235 | − | 0.884133i | \(-0.345250\pi\) |
−0.210387 | + | 0.977618i | \(0.567472\pi\) | |||||||
\(992\) | −9.62500 | − | 5.97474i | −0.305594 | − | 0.189698i | ||||
\(993\) | 4.61766 | + | 26.1881i | 0.146537 | + | 0.831053i | ||||
\(994\) | 9.45462 | − | 6.28972i | 0.299882 | − | 0.199498i | ||||
\(995\) | −18.6961 | − | 10.7942i | −0.592707 | − | 0.342199i | ||||
\(996\) | 27.3089 | + | 17.5535i | 0.865315 | + | 0.556205i | ||||
\(997\) | −11.5971 | + | 13.8209i | −0.367284 | + | 0.437712i | −0.917758 | − | 0.397140i | \(-0.870003\pi\) |
0.550474 | + | 0.834852i | \(0.314447\pi\) | |||||||
\(998\) | −1.18710 | + | 2.39496i | −0.0375769 | + | 0.0758112i | ||||
\(999\) | 12.2369 | + | 21.1949i | 0.387157 | + | 0.670575i |
(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 | 152.2.t.a.101.14 | ✓ | 108 | |
4.3 | odd | 2 | 608.2.bf.a.177.5 | 108 | |||
8.3 | odd | 2 | 608.2.bf.a.177.14 | 108 | |||
8.5 | even | 2 | inner | 152.2.t.a.101.16 | yes | 108 | |
19.16 | even | 9 | inner | 152.2.t.a.149.16 | yes | 108 | |
76.35 | odd | 18 | 608.2.bf.a.529.14 | 108 | |||
152.35 | odd | 18 | 608.2.bf.a.529.5 | 108 | |||
152.149 | even | 18 | inner | 152.2.t.a.149.14 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.2.t.a.101.14 | ✓ | 108 | 1.1 | even | 1 | trivial | |
152.2.t.a.101.16 | yes | 108 | 8.5 | even | 2 | inner | |
152.2.t.a.149.14 | yes | 108 | 152.149 | even | 18 | inner | |
152.2.t.a.149.16 | yes | 108 | 19.16 | even | 9 | inner | |
608.2.bf.a.177.5 | 108 | 4.3 | odd | 2 | |||
608.2.bf.a.177.14 | 108 | 8.3 | odd | 2 | |||
608.2.bf.a.529.5 | 108 | 152.35 | odd | 18 | |||
608.2.bf.a.529.14 | 108 | 76.35 | odd | 18 |