Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.15 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.15 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10904 | − | 0.877514i | 0.784209 | − | 0.620496i | ||||
\(3\) | 1.71513 | − | 0.241506i | 0.990231 | − | 0.139433i | ||||
\(4\) | 0.459938 | − | 1.94640i | 0.229969 | − | 0.973198i | ||||
\(5\) | −1.98415 | + | 0.531653i | −0.887341 | + | 0.237762i | −0.673572 | − | 0.739122i | \(-0.735241\pi\) |
−0.213769 | + | 0.976884i | \(0.568574\pi\) | |||||||
\(6\) | 1.69022 | − | 1.77289i | 0.690031 | − | 0.723780i | ||||
\(7\) | −1.54969 | + | 0.894715i | −0.585729 | + | 0.338171i | −0.763407 | − | 0.645918i | \(-0.776475\pi\) |
0.177678 | + | 0.984089i | \(0.443141\pi\) | |||||||
\(8\) | −1.19790 | − | 2.56223i | −0.423522 | − | 0.905886i | ||||
\(9\) | 2.88335 | − | 0.828427i | 0.961117 | − | 0.276142i | ||||
\(10\) | −1.73397 | + | 2.33075i | −0.548331 | + | 0.737047i | ||||
\(11\) | −0.693015 | + | 2.58637i | −0.208952 | + | 0.779819i | 0.779257 | + | 0.626705i | \(0.215597\pi\) |
−0.988209 | + | 0.153114i | \(0.951070\pi\) | |||||||
\(12\) | 0.318788 | − | 3.44940i | 0.0920263 | − | 0.995757i | ||||
\(13\) | 1.24314 | + | 4.63944i | 0.344784 | + | 1.28675i | 0.892865 | + | 0.450325i | \(0.148692\pi\) |
−0.548081 | + | 0.836425i | \(0.684641\pi\) | |||||||
\(14\) | −0.933545 | + | 2.35215i | −0.249500 | + | 0.628639i | ||||
\(15\) | −3.27469 | + | 1.39104i | −0.845521 | + | 0.359165i | ||||
\(16\) | −3.57691 | − | 1.79044i | −0.894229 | − | 0.447611i | ||||
\(17\) | −3.58889 | −0.870434 | −0.435217 | − | 0.900326i | \(-0.643328\pi\) | ||||
−0.435217 | + | 0.900326i | \(0.643328\pi\) | |||||||
\(18\) | 2.47079 | − | 3.44894i | 0.582371 | − | 0.812923i | ||||
\(19\) | 4.85244 | − | 4.85244i | 1.11323 | − | 1.11323i | 0.120514 | − | 0.992712i | \(-0.461546\pi\) |
0.992712 | − | 0.120514i | \(-0.0384543\pi\) | |||||||
\(20\) | 0.122219 | + | 4.10648i | 0.0273290 | + | 0.918236i | ||||
\(21\) | −2.44185 | + | 1.90881i | −0.532855 | + | 0.416537i | ||||
\(22\) | 1.50099 | + | 3.47651i | 0.320013 | + | 0.741195i | ||||
\(23\) | 0.446082 | + | 0.257545i | 0.0930145 | + | 0.0537019i | 0.545786 | − | 0.837925i | \(-0.316231\pi\) |
−0.452771 | + | 0.891627i | \(0.649565\pi\) | |||||||
\(24\) | −2.67335 | − | 4.10526i | −0.545695 | − | 0.837984i | ||||
\(25\) | −0.675912 | + | 0.390238i | −0.135182 | + | 0.0780476i | ||||
\(26\) | 5.44986 | + | 4.05446i | 1.06881 | + | 0.795145i | ||||
\(27\) | 4.74525 | − | 2.11721i | 0.913225 | − | 0.407457i | ||||
\(28\) | 1.02871 | + | 3.42783i | 0.194408 | + | 0.647799i | ||||
\(29\) | −6.44956 | − | 1.72815i | −1.19765 | − | 0.320910i | −0.395746 | − | 0.918360i | \(-0.629514\pi\) |
−0.801906 | + | 0.597450i | \(0.796181\pi\) | |||||||
\(30\) | −2.41110 | + | 4.41630i | −0.440205 | + | 0.806303i | ||||
\(31\) | 4.05128 | − | 7.01703i | 0.727632 | − | 1.26030i | −0.230249 | − | 0.973132i | \(-0.573954\pi\) |
0.957881 | − | 0.287164i | \(-0.0927125\pi\) | |||||||
\(32\) | −5.53808 | + | 1.15312i | −0.979003 | + | 0.203845i | ||||
\(33\) | −0.563989 | + | 4.60332i | −0.0981779 | + | 0.801336i | ||||
\(34\) | −3.98022 | + | 3.14930i | −0.682602 | + | 0.540101i | ||||
\(35\) | 2.59915 | − | 2.59915i | 0.439337 | − | 0.439337i | ||||
\(36\) | −0.286286 | − | 5.99317i | −0.0477143 | − | 0.998861i | ||||
\(37\) | 1.25948 | + | 1.25948i | 0.207057 | + | 0.207057i | 0.803015 | − | 0.595959i | \(-0.203228\pi\) |
−0.595959 | + | 0.803015i | \(0.703228\pi\) | |||||||
\(38\) | 1.12346 | − | 9.63963i | 0.182250 | − | 1.56375i | ||||
\(39\) | 3.25259 | + | 7.65703i | 0.520831 | + | 1.22611i | ||||
\(40\) | 3.73904 | + | 4.44700i | 0.591194 | + | 0.703132i | ||||
\(41\) | −4.07959 | − | 2.35535i | −0.637126 | − | 0.367845i | 0.146381 | − | 0.989228i | \(-0.453238\pi\) |
−0.783506 | + | 0.621384i | \(0.786571\pi\) | |||||||
\(42\) | −1.03309 | + | 4.25971i | −0.159410 | + | 0.657287i | ||||
\(43\) | −1.76222 | + | 6.57670i | −0.268736 | + | 1.00294i | 0.691187 | + | 0.722676i | \(0.257088\pi\) |
−0.959924 | + | 0.280262i | \(0.909579\pi\) | |||||||
\(44\) | 4.71535 | + | 2.53845i | 0.710865 | + | 0.382685i | ||||
\(45\) | −5.28058 | + | 3.17667i | −0.787182 | + | 0.473550i | ||||
\(46\) | 0.720722 | − | 0.105815i | 0.106265 | − | 0.0156016i | ||||
\(47\) | −3.48945 | − | 6.04391i | −0.508989 | − | 0.881595i | −0.999946 | − | 0.0104109i | \(-0.996686\pi\) |
0.490957 | − | 0.871184i | \(-0.336647\pi\) | |||||||
\(48\) | −6.56728 | − | 2.20700i | −0.947905 | − | 0.318553i | ||||
\(49\) | −1.89897 | + | 3.28911i | −0.271281 | + | 0.469873i | ||||
\(50\) | −0.407174 | + | 1.02591i | −0.0575831 | + | 0.145086i | ||||
\(51\) | −6.15542 | + | 0.866737i | −0.861931 | + | 0.121367i | ||||
\(52\) | 9.60196 | − | 0.285778i | 1.33155 | − | 0.0396303i | ||||
\(53\) | 5.26302 | + | 5.26302i | 0.722932 | + | 0.722932i | 0.969201 | − | 0.246269i | \(-0.0792048\pi\) |
−0.246269 | + | 0.969201i | \(0.579205\pi\) | |||||||
\(54\) | 3.40480 | − | 6.51209i | 0.463334 | − | 0.886184i | ||||
\(55\) | − | 5.50019i | − | 0.741646i | ||||||
\(56\) | 4.14885 | + | 2.89889i | 0.554413 | + | 0.387381i | ||||
\(57\) | 7.15068 | − | 9.49446i | 0.947131 | − | 1.25757i | ||||
\(58\) | −8.66930 | + | 3.74299i | −1.13833 | + | 0.491478i | ||||
\(59\) | 6.76946 | − | 1.81387i | 0.881308 | − | 0.236146i | 0.210337 | − | 0.977629i | \(-0.432544\pi\) |
0.670972 | + | 0.741483i | \(0.265877\pi\) | |||||||
\(60\) | 1.20136 | + | 7.01363i | 0.155095 | + | 0.905456i | ||||
\(61\) | 5.78773 | + | 1.55082i | 0.741042 | + | 0.198562i | 0.609541 | − | 0.792754i | \(-0.291354\pi\) |
0.131501 | + | 0.991316i | \(0.458020\pi\) | |||||||
\(62\) | −1.66451 | − | 11.3372i | −0.211393 | − | 1.43983i | ||||
\(63\) | −3.72710 | + | 3.86359i | −0.469570 | + | 0.486766i | ||||
\(64\) | −5.13007 | + | 6.13860i | −0.641258 | + | 0.767325i | ||||
\(65\) | −4.93314 | − | 8.54446i | −0.611881 | − | 1.05981i | ||||
\(66\) | 3.41399 | + | 5.60018i | 0.420234 | + | 0.689334i | ||||
\(67\) | −0.453328 | − | 1.69184i | −0.0553829 | − | 0.206692i | 0.932690 | − | 0.360679i | \(-0.117455\pi\) |
−0.988073 | + | 0.153988i | \(0.950788\pi\) | |||||||
\(68\) | −1.65067 | + | 6.98540i | −0.200173 | + | 0.847104i | ||||
\(69\) | 0.827288 | + | 0.333993i | 0.0995937 | + | 0.0402080i | ||||
\(70\) | 0.601770 | − | 5.16335i | 0.0719252 | − | 0.617139i | ||||
\(71\) | − | 7.58339i | − | 0.899983i | −0.893033 | − | 0.449992i | \(-0.851427\pi\) | ||
0.893033 | − | 0.449992i | \(-0.148573\pi\) | |||||||
\(72\) | −5.57659 | − | 6.39544i | −0.657207 | − | 0.753710i | ||||
\(73\) | − | 12.5473i | − | 1.46855i | −0.678854 | − | 0.734273i | \(-0.737523\pi\) | ||
0.678854 | − | 0.734273i | \(-0.262477\pi\) | |||||||
\(74\) | 2.50202 | + | 0.291601i | 0.290854 | + | 0.0338979i | ||||
\(75\) | −1.06503 | + | 0.832546i | −0.122979 | + | 0.0961341i | ||||
\(76\) | −7.21295 | − | 11.6766i | −0.827382 | − | 1.33940i | ||||
\(77\) | −1.24010 | − | 4.62812i | −0.141323 | − | 0.527423i | ||||
\(78\) | 10.3264 | + | 5.63776i | 1.16924 | + | 0.638350i | ||||
\(79\) | −4.01735 | − | 6.95825i | −0.451987 | − | 0.782864i | 0.546523 | − | 0.837444i | \(-0.315951\pi\) |
−0.998509 | + | 0.0545802i | \(0.982618\pi\) | |||||||
\(80\) | 8.04904 | + | 1.65084i | 0.899911 | + | 0.184569i | ||||
\(81\) | 7.62742 | − | 4.77729i | 0.847491 | − | 0.530810i | ||||
\(82\) | −6.59129 | + | 0.967720i | −0.727886 | + | 0.106867i | ||||
\(83\) | 7.99826 | + | 2.14313i | 0.877923 | + | 0.235239i | 0.669511 | − | 0.742802i | \(-0.266504\pi\) |
0.208412 | + | 0.978041i | \(0.433171\pi\) | |||||||
\(84\) | 2.59221 | + | 5.63074i | 0.282833 | + | 0.614364i | ||||
\(85\) | 7.12091 | − | 1.90804i | 0.772371 | − | 0.206956i | ||||
\(86\) | 3.81677 | + | 8.84019i | 0.411573 | + | 0.953263i | ||||
\(87\) | −11.4792 | − | 1.40641i | −1.23070 | − | 0.150783i | ||||
\(88\) | 7.45703 | − | 1.32255i | 0.794922 | − | 0.140984i | ||||
\(89\) | 16.5414i | 1.75339i | 0.481047 | + | 0.876695i | \(0.340257\pi\) | ||||
−0.481047 | + | 0.876695i | \(0.659743\pi\) | |||||||
\(90\) | −3.06880 | + | 8.15683i | −0.323480 | + | 0.859806i | ||||
\(91\) | −6.07746 | − | 6.07746i | −0.637091 | − | 0.637091i | ||||
\(92\) | 0.706455 | − | 0.749797i | 0.0736531 | − | 0.0781717i | ||||
\(93\) | 5.25383 | − | 13.0135i | 0.544797 | − | 1.34944i | ||||
\(94\) | −9.17356 | − | 3.64089i | −0.946180 | − | 0.375529i | ||||
\(95\) | −7.04818 | + | 12.2078i | −0.723128 | + | 1.25249i | ||||
\(96\) | −9.22005 | + | 3.31523i | −0.941017 | + | 0.338359i | ||||
\(97\) | −4.15739 | − | 7.20082i | −0.422119 | − | 0.731132i | 0.574027 | − | 0.818836i | \(-0.305380\pi\) |
−0.996147 | + | 0.0877040i | \(0.972047\pi\) | |||||||
\(98\) | 0.780209 | + | 5.31413i | 0.0788130 | + | 0.536808i | ||||
\(99\) | 0.144412 | + | 8.03151i | 0.0145140 | + | 0.807197i | ||||
\(100\) | 0.448680 | + | 1.49508i | 0.0448680 | + | 0.149508i | ||||
\(101\) | 1.25971 | − | 4.70129i | 0.125346 | − | 0.467796i | −0.874506 | − | 0.485014i | \(-0.838814\pi\) |
0.999852 | + | 0.0172183i | \(0.00548104\pi\) | |||||||
\(102\) | −6.06603 | + | 6.36271i | −0.600626 | + | 0.630002i | ||||
\(103\) | 6.13162 | + | 3.54009i | 0.604166 | + | 0.348816i | 0.770679 | − | 0.637224i | \(-0.219917\pi\) |
−0.166512 | + | 0.986039i | \(0.553251\pi\) | |||||||
\(104\) | 10.3982 | − | 8.74279i | 1.01963 | − | 0.857301i | ||||
\(105\) | 3.83018 | − | 5.08560i | 0.373787 | − | 0.496303i | ||||
\(106\) | 10.4553 | + | 1.21852i | 1.01551 | + | 0.118354i | ||||
\(107\) | 6.68494 | + | 6.68494i | 0.646258 | + | 0.646258i | 0.952087 | − | 0.305829i | \(-0.0989335\pi\) |
−0.305829 | + | 0.952087i | \(0.598934\pi\) | |||||||
\(108\) | −1.93840 | − | 10.2099i | −0.186523 | − | 0.982451i | ||||
\(109\) | −11.6423 | + | 11.6423i | −1.11513 | + | 1.11513i | −0.122687 | + | 0.992445i | \(0.539151\pi\) |
−0.992445 | + | 0.122687i | \(0.960849\pi\) | |||||||
\(110\) | −4.82650 | − | 6.09993i | −0.460188 | − | 0.581606i | ||||
\(111\) | 2.46434 | + | 1.85600i | 0.233905 | + | 0.176163i | ||||
\(112\) | 7.14505 | − | 0.425686i | 0.675144 | − | 0.0402235i | ||||
\(113\) | 0.346060 | − | 0.599393i | 0.0325545 | − | 0.0563861i | −0.849289 | − | 0.527928i | \(-0.822969\pi\) |
0.881844 | + | 0.471542i | \(0.156302\pi\) | |||||||
\(114\) | −0.401137 | − | 16.8046i | −0.0375699 | − | 1.57389i | ||||
\(115\) | −1.02202 | − | 0.273849i | −0.0953039 | − | 0.0255366i | ||||
\(116\) | −6.33007 | + | 11.7586i | −0.587732 | + | 1.09175i | ||||
\(117\) | 7.42784 | + | 12.3473i | 0.686704 | + | 1.14151i | ||||
\(118\) | 5.91590 | − | 7.95195i | 0.544603 | − | 0.732036i | ||||
\(119\) | 5.56168 | − | 3.21104i | 0.509838 | − | 0.294355i | ||||
\(120\) | 7.48691 | + | 6.72419i | 0.683459 | + | 0.613831i | ||||
\(121\) | 3.31726 | + | 1.91522i | 0.301569 | + | 0.174111i | ||||
\(122\) | 7.77968 | − | 3.35889i | 0.704339 | − | 0.304100i | ||||
\(123\) | −7.56587 | − | 3.05450i | −0.682192 | − | 0.275415i | ||||
\(124\) | −11.7946 | − | 11.1128i | −1.05918 | − | 0.997959i | ||||
\(125\) | 8.39615 | − | 8.39615i | 0.750975 | − | 0.750975i | ||||
\(126\) | −0.743150 | + | 7.55545i | −0.0662051 | + | 0.673093i | ||||
\(127\) | 5.71585 | 0.507200 | 0.253600 | − | 0.967309i | \(-0.418385\pi\) | ||||
0.253600 | + | 0.967309i | \(0.418385\pi\) | |||||||
\(128\) | −0.302740 | + | 11.3097i | −0.0267587 | + | 0.999642i | ||||
\(129\) | −1.43413 | + | 11.7055i | −0.126268 | + | 1.03061i | ||||
\(130\) | −12.9689 | − | 5.14724i | −1.13745 | − | 0.451443i | ||||
\(131\) | 2.36823 | + | 8.83835i | 0.206913 | + | 0.772210i | 0.988858 | + | 0.148863i | \(0.0475612\pi\) |
−0.781945 | + | 0.623348i | \(0.785772\pi\) | |||||||
\(132\) | 8.70049 | + | 3.21499i | 0.757280 | + | 0.279829i | ||||
\(133\) | −3.17824 | + | 11.8613i | −0.275588 | + | 1.02851i | ||||
\(134\) | −1.98738 | − | 1.47852i | −0.171683 | − | 0.127725i | ||||
\(135\) | −8.28970 | + | 6.72369i | −0.713464 | + | 0.578683i | ||||
\(136\) | 4.29913 | + | 9.19557i | 0.368648 | + | 0.788514i | ||||
\(137\) | 0.535518 | − | 0.309181i | 0.0457524 | − | 0.0264151i | −0.476949 | − | 0.878931i | \(-0.658257\pi\) |
0.522702 | + | 0.852516i | \(0.324924\pi\) | |||||||
\(138\) | 1.21058 | − | 0.355545i | 0.103051 | − | 0.0302660i | ||||
\(139\) | −18.4588 | + | 4.94601i | −1.56565 | + | 0.419515i | −0.934447 | − | 0.356101i | \(-0.884106\pi\) |
−0.631205 | + | 0.775616i | \(0.717439\pi\) | |||||||
\(140\) | −3.86353 | − | 6.25443i | −0.326528 | − | 0.528595i | ||||
\(141\) | −7.44451 | − | 9.52338i | −0.626941 | − | 0.802013i | ||||
\(142\) | −6.65453 | − | 8.41028i | −0.558436 | − | 0.705775i | ||||
\(143\) | −12.8608 | −1.07547 | ||||||||
\(144\) | −11.7967 | − | 2.19926i | −0.983062 | − | 0.183272i | ||||
\(145\) | 13.7157 | 1.13903 | ||||||||
\(146\) | −11.0104 | − | 13.9154i | −0.911227 | − | 1.15165i | ||||
\(147\) | −2.46264 | + | 6.09987i | −0.203115 | + | 0.503109i | ||||
\(148\) | 3.03072 | − | 1.87216i | 0.249124 | − | 0.153890i | ||||
\(149\) | −5.06509 | + | 1.35719i | −0.414948 | + | 0.111185i | −0.460252 | − | 0.887788i | \(-0.652241\pi\) |
0.0453039 | + | 0.998973i | \(0.485574\pi\) | |||||||
\(150\) | −0.450593 | + | 1.85791i | −0.0367908 | + | 0.151698i | ||||
\(151\) | −7.80108 | + | 4.50395i | −0.634843 | + | 0.366527i | −0.782625 | − | 0.622493i | \(-0.786120\pi\) |
0.147782 | + | 0.989020i | \(0.452786\pi\) | |||||||
\(152\) | −18.2458 | − | 6.62033i | −1.47993 | − | 0.536980i | ||||
\(153\) | −10.3480 | + | 2.97313i | −0.836588 | + | 0.240364i | ||||
\(154\) | −5.43656 | − | 4.04456i | −0.438091 | − | 0.325920i | ||||
\(155\) | −4.30775 | + | 16.0767i | −0.346007 | + | 1.29132i | ||||
\(156\) | 16.3996 | − | 2.80907i | 1.31302 | − | 0.224906i | ||||
\(157\) | 2.93223 | + | 10.9432i | 0.234017 | + | 0.873364i | 0.978589 | + | 0.205822i | \(0.0659868\pi\) |
−0.744572 | + | 0.667542i | \(0.767347\pi\) | |||||||
\(158\) | −10.5614 | − | 4.19170i | −0.840217 | − | 0.333473i | ||||
\(159\) | 10.2978 | + | 7.75573i | 0.816671 | + | 0.615069i | ||||
\(160\) | 10.3753 | − | 5.23231i | 0.820243 | − | 0.413650i | ||||
\(161\) | −0.921720 | −0.0726417 | ||||||||
\(162\) | 4.26697 | − | 11.9914i | 0.335244 | − | 0.942131i | ||||
\(163\) | −11.9073 | + | 11.9073i | −0.932649 | + | 0.932649i | −0.997871 | − | 0.0652222i | \(-0.979224\pi\) |
0.0652222 | + | 0.997871i | \(0.479224\pi\) | |||||||
\(164\) | −6.46081 | + | 6.85719i | −0.504505 | + | 0.535457i | ||||
\(165\) | −1.32833 | − | 9.43355i | −0.103410 | − | 0.734401i | ||||
\(166\) | 10.7510 | − | 4.64177i | 0.834440 | − | 0.360271i | ||||
\(167\) | 8.19418 | + | 4.73091i | 0.634085 | + | 0.366089i | 0.782332 | − | 0.622861i | \(-0.214030\pi\) |
−0.148248 | + | 0.988950i | \(0.547363\pi\) | |||||||
\(168\) | 7.81591 | + | 3.97001i | 0.603011 | + | 0.306293i | ||||
\(169\) | −8.72072 | + | 5.03491i | −0.670825 | + | 0.387301i | ||||
\(170\) | 6.22304 | − | 8.36480i | 0.477285 | − | 0.641551i | ||||
\(171\) | 9.97139 | − | 18.0112i | 0.762531 | − | 1.37735i | ||||
\(172\) | 11.9903 | + | 6.45485i | 0.914255 | + | 0.492178i | ||||
\(173\) | 23.1112 | + | 6.19263i | 1.75711 | + | 0.470817i | 0.986121 | − | 0.166030i | \(-0.0530948\pi\) |
0.770991 | + | 0.636846i | \(0.219761\pi\) | |||||||
\(174\) | −13.9650 | + | 8.51340i | −1.05869 | + | 0.645399i | ||||
\(175\) | 0.698304 | − | 1.20950i | 0.0527868 | − | 0.0914295i | ||||
\(176\) | 7.10959 | − | 8.01041i | 0.535906 | − | 0.603807i | ||||
\(177\) | 11.1724 | − | 4.74589i | 0.839773 | − | 0.356723i | ||||
\(178\) | 14.5154 | + | 18.3451i | 1.08797 | + | 1.37502i | ||||
\(179\) | 11.6334 | − | 11.6334i | 0.869521 | − | 0.869521i | −0.122898 | − | 0.992419i | \(-0.539219\pi\) |
0.992419 | + | 0.122898i | \(0.0392188\pi\) | |||||||
\(180\) | 3.75432 | + | 11.7392i | 0.279830 | + | 0.874986i | ||||
\(181\) | −10.9379 | − | 10.9379i | −0.813010 | − | 0.813010i | 0.172074 | − | 0.985084i | \(-0.444953\pi\) |
−0.985084 | + | 0.172074i | \(0.944953\pi\) | |||||||
\(182\) | −12.0732 | − | 1.40709i | −0.894925 | − | 0.104300i | ||||
\(183\) | 10.3012 | + | 1.26209i | 0.761490 | + | 0.0932961i | ||||
\(184\) | 0.125529 | − | 1.45148i | 0.00925416 | − | 0.107004i | ||||
\(185\) | −3.16860 | − | 1.82939i | −0.232960 | − | 0.134500i | ||||
\(186\) | −5.59285 | − | 19.0428i | −0.410088 | − | 1.39629i | ||||
\(187\) | 2.48715 | − | 9.28218i | 0.181879 | − | 0.678780i | ||||
\(188\) | −13.3688 | + | 4.01203i | −0.975018 | + | 0.292608i | ||||
\(189\) | −5.45939 | + | 7.52667i | −0.397112 | + | 0.547485i | ||||
\(190\) | 2.89581 | + | 19.7238i | 0.210084 | + | 1.43092i | ||||
\(191\) | 3.34360 | + | 5.79129i | 0.241934 | + | 0.419043i | 0.961265 | − | 0.275625i | \(-0.0888848\pi\) |
−0.719331 | + | 0.694668i | \(0.755551\pi\) | |||||||
\(192\) | −7.31623 | + | 11.7674i | −0.528004 | + | 0.849242i | ||||
\(193\) | −0.468469 | + | 0.811411i | −0.0337211 | + | 0.0584067i | −0.882393 | − | 0.470512i | \(-0.844069\pi\) |
0.848672 | + | 0.528919i | \(0.177402\pi\) | |||||||
\(194\) | −10.9295 | − | 4.33782i | −0.784695 | − | 0.311437i | ||||
\(195\) | −10.5245 | − | 13.4635i | −0.753677 | − | 0.964140i | ||||
\(196\) | 5.52850 | + | 5.20893i | 0.394893 | + | 0.372067i | ||||
\(197\) | −14.7962 | − | 14.7962i | −1.05419 | − | 1.05419i | −0.998445 | − | 0.0557400i | \(-0.982248\pi\) |
−0.0557400 | − | 0.998445i | \(-0.517752\pi\) | |||||||
\(198\) | 7.20792 | + | 8.78054i | 0.512245 | + | 0.624006i | ||||
\(199\) | − | 2.36977i | − | 0.167988i | −0.996466 | − | 0.0839942i | \(-0.973232\pi\) | ||
0.996466 | − | 0.0839942i | \(-0.0267677\pi\) | |||||||
\(200\) | 1.80956 | + | 1.26438i | 0.127955 | + | 0.0894050i | ||||
\(201\) | −1.18611 | − | 2.79225i | −0.0836616 | − | 0.196950i | ||||
\(202\) | −2.72838 | − | 6.31933i | −0.191968 | − | 0.444627i | ||||
\(203\) | 11.5410 | − | 3.09241i | 0.810022 | − | 0.217045i | ||||
\(204\) | −1.14410 | + | 12.3795i | −0.0801028 | + | 0.866740i | ||||
\(205\) | 9.34678 | + | 2.50446i | 0.652807 | + | 0.174919i | ||||
\(206\) | 9.90669 | − | 1.45448i | 0.690232 | − | 0.101338i | ||||
\(207\) | 1.49957 | + | 0.373047i | 0.104227 | + | 0.0259286i | ||||
\(208\) | 3.86007 | − | 18.8207i | 0.267647 | − | 1.30498i | ||||
\(209\) | 9.18737 | + | 15.9130i | 0.635504 | + | 1.10072i | ||||
\(210\) | −0.214864 | − | 9.00116i | −0.0148271 | − | 0.621139i | ||||
\(211\) | −0.521927 | − | 1.94786i | −0.0359309 | − | 0.134096i | 0.945631 | − | 0.325243i | \(-0.105446\pi\) |
−0.981561 | + | 0.191147i | \(0.938779\pi\) | |||||||
\(212\) | 12.6646 | − | 7.82327i | 0.869808 | − | 0.537304i | ||||
\(213\) | −1.83143 | − | 13.0065i | −0.125488 | − | 0.891192i | ||||
\(214\) | 13.2800 | + | 1.54773i | 0.907802 | + | 0.105801i | ||||
\(215\) | − | 13.9861i | − | 0.953842i | ||||||
\(216\) | −11.1091 | − | 9.62224i | −0.755880 | − | 0.654710i | ||||
\(217\) | 14.4990i | 0.984255i | ||||||||
\(218\) | −2.69549 | + | 23.1281i | −0.182562 | + | 1.56643i | ||||
\(219\) | −3.03023 | − | 21.5202i | −0.204764 | − | 1.45420i | ||||
\(220\) | −10.7056 | − | 2.52975i | −0.721768 | − | 0.170555i | ||||
\(221\) | −4.46148 | − | 16.6505i | −0.300111 | − | 1.12003i | ||||
\(222\) | 4.36171 | − | 0.104117i | 0.292739 | − | 0.00698789i | ||||
\(223\) | 5.55008 | + | 9.61302i | 0.371661 | + | 0.643735i | 0.989821 | − | 0.142317i | \(-0.0454551\pi\) |
−0.618160 | + | 0.786052i | \(0.712122\pi\) | |||||||
\(224\) | 7.55060 | − | 6.74199i | 0.504496 | − | 0.450468i | ||||
\(225\) | −1.62561 | + | 1.68514i | −0.108374 | + | 0.112342i | ||||
\(226\) | −0.142182 | − | 0.968422i | −0.00945780 | − | 0.0644185i | ||||
\(227\) | −16.7860 | − | 4.49779i | −1.11412 | − | 0.298529i | −0.345621 | − | 0.938374i | \(-0.612332\pi\) |
−0.768504 | + | 0.639845i | \(0.778998\pi\) | |||||||
\(228\) | −15.1911 | − | 18.2849i | −1.00606 | − | 1.21095i | ||||
\(229\) | 15.4674 | − | 4.14447i | 1.02211 | − | 0.273874i | 0.291430 | − | 0.956592i | \(-0.405869\pi\) |
0.730682 | + | 0.682718i | \(0.239202\pi\) | |||||||
\(230\) | −1.37377 | + | 0.593127i | −0.0905835 | + | 0.0391096i | ||||
\(231\) | −3.24465 | − | 7.63835i | −0.213483 | − | 0.502566i | ||||
\(232\) | 3.29800 | + | 18.5954i | 0.216524 | + | 1.22085i | ||||
\(233\) | 25.2041i | 1.65118i | 0.564273 | + | 0.825588i | \(0.309156\pi\) | ||||
−0.564273 | + | 0.825588i | \(0.690844\pi\) | |||||||
\(234\) | 19.0727 | + | 7.17561i | 1.24682 | + | 0.469084i | ||||
\(235\) | 10.1369 | + | 10.1369i | 0.661257 | + | 0.661257i | ||||
\(236\) | −0.416981 | − | 14.0103i | −0.0271432 | − | 0.911994i | ||||
\(237\) | −8.57073 | − | 10.9641i | −0.556729 | − | 0.712195i | ||||
\(238\) | 3.35039 | − | 8.44162i | 0.217174 | − | 0.547189i | ||||
\(239\) | 4.14085 | − | 7.17217i | 0.267850 | − | 0.463929i | −0.700457 | − | 0.713695i | \(-0.747020\pi\) |
0.968306 | + | 0.249766i | \(0.0803537\pi\) | |||||||
\(240\) | 14.2039 | + | 0.887515i | 0.916855 | + | 0.0572889i | ||||
\(241\) | −6.40038 | − | 11.0858i | −0.412285 | − | 0.714098i | 0.582854 | − | 0.812577i | \(-0.301936\pi\) |
−0.995139 | + | 0.0984784i | \(0.968602\pi\) | |||||||
\(242\) | 5.35961 | − | 0.786887i | 0.344529 | − | 0.0505830i | ||||
\(243\) | 11.9283 | − | 10.0357i | 0.765199 | − | 0.643793i | ||||
\(244\) | 5.68050 | − | 10.5519i | 0.363657 | − | 0.675518i | ||||
\(245\) | 2.01918 | − | 7.53570i | 0.129001 | − | 0.481438i | ||||
\(246\) | −11.0712 | + | 3.25160i | −0.705875 | + | 0.207314i | ||||
\(247\) | 28.5449 | + | 16.4804i | 1.81627 | + | 1.04862i | ||||
\(248\) | −22.8323 | − | 1.97462i | −1.44985 | − | 0.125389i | ||||
\(249\) | 14.2356 | + | 1.74412i | 0.902147 | + | 0.110529i | ||||
\(250\) | 1.94392 | − | 16.6794i | 0.122944 | − | 1.05490i | ||||
\(251\) | −13.9414 | − | 13.9414i | −0.879976 | − | 0.879976i | 0.113556 | − | 0.993532i | \(-0.463776\pi\) |
−0.993532 | + | 0.113556i | \(0.963776\pi\) | |||||||
\(252\) | 5.80583 | + | 9.03142i | 0.365733 | + | 0.568926i | ||||
\(253\) | −0.975248 | + | 0.975248i | −0.0613133 | + | 0.0613133i | ||||
\(254\) | 6.33911 | − | 5.01574i | 0.397751 | − | 0.314716i | ||||
\(255\) | 11.7525 | − | 4.99228i | 0.735970 | − | 0.312629i | ||||
\(256\) | 9.58863 | + | 12.8085i | 0.599290 | + | 0.800532i | ||||
\(257\) | −3.51445 | + | 6.08720i | −0.219225 | + | 0.379709i | −0.954571 | − | 0.297983i | \(-0.903686\pi\) |
0.735346 | + | 0.677692i | \(0.237020\pi\) | |||||||
\(258\) | 8.68122 | + | 14.2403i | 0.540469 | + | 0.886564i | ||||
\(259\) | −3.07867 | − | 0.824928i | −0.191299 | − | 0.0512585i | ||||
\(260\) | −18.8998 | + | 5.67193i | −1.17212 | + | 0.351758i | ||||
\(261\) | −20.0280 | + | 0.360117i | −1.23970 | + | 0.0222907i | ||||
\(262\) | 10.3822 | + | 7.72393i | 0.641417 | + | 0.477186i | ||||
\(263\) | −15.1779 | + | 8.76296i | −0.935909 | + | 0.540348i | −0.888676 | − | 0.458536i | \(-0.848374\pi\) |
−0.0472338 | + | 0.998884i | \(0.515041\pi\) | |||||||
\(264\) | 12.4704 | − | 4.06925i | 0.767499 | − | 0.250445i | ||||
\(265\) | −13.2408 | − | 7.64455i | −0.813373 | − | 0.469601i | ||||
\(266\) | 6.88370 | + | 15.9436i | 0.422067 | + | 0.977568i | ||||
\(267\) | 3.99485 | + | 28.3707i | 0.244481 | + | 1.73626i | ||||
\(268\) | −3.50150 | + | 0.104213i | −0.213888 | + | 0.00636584i | ||||
\(269\) | −0.311911 | + | 0.311911i | −0.0190176 | + | 0.0190176i | −0.716552 | − | 0.697534i | \(-0.754281\pi\) |
0.697534 | + | 0.716552i | \(0.254281\pi\) | |||||||
\(270\) | −3.29347 | + | 14.7312i | −0.200434 | + | 0.896510i | ||||
\(271\) | 7.46993 | 0.453766 | 0.226883 | − | 0.973922i | \(-0.427147\pi\) | ||||
0.226883 | + | 0.973922i | \(0.427147\pi\) | |||||||
\(272\) | 12.8372 | + | 6.42570i | 0.778367 | + | 0.389615i | ||||
\(273\) | −11.8914 | − | 8.95590i | −0.719699 | − | 0.542036i | ||||
\(274\) | 0.322599 | − | 0.812819i | 0.0194889 | − | 0.0491042i | ||||
\(275\) | −0.540881 | − | 2.01860i | −0.0326164 | − | 0.121726i | ||||
\(276\) | 1.03058 | − | 1.45661i | 0.0620338 | − | 0.0876778i | ||||
\(277\) | 2.71916 | − | 10.1481i | 0.163379 | − | 0.609737i | −0.834863 | − | 0.550458i | \(-0.814453\pi\) |
0.998241 | − | 0.0592792i | \(-0.0188802\pi\) | |||||||
\(278\) | −16.1313 | + | 21.6831i | −0.967491 | + | 1.30047i | ||||
\(279\) | 5.86817 | − | 23.5887i | 0.351318 | − | 1.41222i | ||||
\(280\) | −9.77316 | − | 3.54610i | −0.584058 | − | 0.211920i | ||||
\(281\) | 5.76358 | − | 3.32761i | 0.343826 | − | 0.198508i | −0.318136 | − | 0.948045i | \(-0.603057\pi\) |
0.661963 | + | 0.749537i | \(0.269724\pi\) | |||||||
\(282\) | −16.6131 | − | 4.02914i | −0.989299 | − | 0.239932i | ||||
\(283\) | −10.6365 | + | 2.85005i | −0.632275 | + | 0.169418i | −0.560702 | − | 0.828018i | \(-0.689469\pi\) |
−0.0715734 | + | 0.997435i | \(0.522802\pi\) | |||||||
\(284\) | −14.7603 | − | 3.48789i | −0.875862 | − | 0.206968i | ||||
\(285\) | −9.14030 | + | 22.6402i | −0.541424 | + | 1.34109i | ||||
\(286\) | −14.2631 | + | 11.2855i | −0.843397 | + | 0.667328i | ||||
\(287\) | 8.42949 | 0.497577 | ||||||||
\(288\) | −15.0129 | + | 7.91275i | −0.884646 | + | 0.466263i | ||||
\(289\) | −4.11987 | −0.242345 | ||||||||
\(290\) | 15.2113 | − | 12.0357i | 0.893236 | − | 0.706762i | ||||
\(291\) | −8.86951 | − | 11.3463i | −0.519940 | − | 0.665133i | ||||
\(292\) | −24.4219 | − | 5.77096i | −1.42919 | − | 0.337720i | ||||
\(293\) | −2.75926 | + | 0.739342i | −0.161198 | + | 0.0431928i | −0.338515 | − | 0.940961i | \(-0.609925\pi\) |
0.177318 | + | 0.984154i | \(0.443258\pi\) | |||||||
\(294\) | 2.62155 | + | 8.92600i | 0.152892 | + | 0.520575i | ||||
\(295\) | −12.4673 | + | 7.19800i | −0.725874 | + | 0.419084i | ||||
\(296\) | 1.71834 | − | 4.73580i | 0.0998766 | − | 0.275263i | ||||
\(297\) | 2.18734 | + | 13.7402i | 0.126922 | + | 0.797288i | ||||
\(298\) | −4.42644 | + | 5.94986i | −0.256416 | + | 0.344666i | ||||
\(299\) | −0.640328 | + | 2.38974i | −0.0370311 | + | 0.138202i | ||||
\(300\) | 1.13062 | + | 2.45590i | 0.0652761 | + | 0.141791i | ||||
\(301\) | −3.15337 | − | 11.7685i | −0.181757 | − | 0.678328i | ||||
\(302\) | −4.69942 | + | 11.8406i | −0.270421 | + | 0.681351i | ||||
\(303\) | 1.02518 | − | 8.36756i | 0.0588948 | − | 0.480704i | ||||
\(304\) | −26.0448 | + | 8.66875i | −1.49377 | + | 0.497187i | ||||
\(305\) | −12.3082 | −0.704768 | ||||||||
\(306\) | −8.86740 | + | 12.3779i | −0.506916 | + | 0.707595i | ||||
\(307\) | −8.15691 | + | 8.15691i | −0.465540 | + | 0.465540i | −0.900466 | − | 0.434926i | \(-0.856774\pi\) |
0.434926 | + | 0.900466i | \(0.356774\pi\) | |||||||
\(308\) | −9.57853 | + | 0.285080i | −0.545787 | + | 0.0162440i | ||||
\(309\) | 11.3715 | + | 4.59090i | 0.646901 | + | 0.261167i | ||||
\(310\) | 9.33011 | + | 21.6099i | 0.529914 | + | 1.22736i | ||||
\(311\) | −8.33416 | − | 4.81173i | −0.472587 | − | 0.272848i | 0.244735 | − | 0.969590i | \(-0.421299\pi\) |
−0.717322 | + | 0.696742i | \(0.754632\pi\) | |||||||
\(312\) | 15.7228 | − | 17.5063i | 0.890129 | − | 0.991097i | ||||
\(313\) | −22.2531 | + | 12.8478i | −1.25782 | + | 0.726202i | −0.972650 | − | 0.232276i | \(-0.925383\pi\) |
−0.285168 | + | 0.958477i | \(0.592049\pi\) | |||||||
\(314\) | 12.8548 | + | 9.56339i | 0.725437 | + | 0.539693i | ||||
\(315\) | 5.34106 | − | 9.64747i | 0.300934 | − | 0.543573i | ||||
\(316\) | −15.3912 | + | 4.61899i | −0.865825 | + | 0.259838i | ||||
\(317\) | 15.6062 | + | 4.18167i | 0.876532 | + | 0.234866i | 0.668910 | − | 0.743343i | \(-0.266761\pi\) |
0.207622 | + | 0.978209i | \(0.433428\pi\) | |||||||
\(318\) | 18.2265 | − | 0.435079i | 1.02209 | − | 0.0243980i | ||||
\(319\) | 8.93928 | − | 15.4833i | 0.500503 | − | 0.866897i | ||||
\(320\) | 6.91524 | − | 14.9073i | 0.386574 | − | 0.833346i | ||||
\(321\) | 13.0800 | + | 9.85110i | 0.730055 | + | 0.549835i | ||||
\(322\) | −1.02222 | + | 0.808822i | −0.0569663 | + | 0.0450739i | ||||
\(323\) | −17.4149 | + | 17.4149i | −0.968989 | + | 0.968989i | ||||
\(324\) | −5.79036 | − | 17.0432i | −0.321687 | − | 0.946846i | ||||
\(325\) | −2.65074 | − | 2.65074i | −0.147036 | − | 0.147036i | ||||
\(326\) | −2.75683 | + | 23.6544i | −0.152687 | + | 1.31010i | ||||
\(327\) | −17.1564 | + | 22.7798i | −0.948752 | + | 1.25973i | ||||
\(328\) | −1.14802 | + | 13.2743i | −0.0633886 | + | 0.732953i | ||||
\(329\) | 10.8152 | + | 6.24413i | 0.596259 | + | 0.344250i | ||||
\(330\) | −9.75124 | − | 9.29656i | −0.536788 | − | 0.511759i | ||||
\(331\) | 5.25422 | − | 19.6090i | 0.288798 | − | 1.07781i | −0.657221 | − | 0.753698i | \(-0.728268\pi\) |
0.946019 | − | 0.324111i | \(-0.105065\pi\) | |||||||
\(332\) | 7.85007 | − | 14.5821i | 0.430829 | − | 0.800295i | ||||
\(333\) | 4.67489 | + | 2.58813i | 0.256183 | + | 0.141828i | ||||
\(334\) | 13.2391 | − | 1.94374i | 0.724412 | − | 0.106357i | ||||
\(335\) | 1.79895 | + | 3.11587i | 0.0982870 | + | 0.170238i | ||||
\(336\) | 12.1519 | − | 2.45568i | 0.662940 | − | 0.133968i | ||||
\(337\) | 1.04249 | − | 1.80564i | 0.0567879 | − | 0.0983595i | −0.836234 | − | 0.548373i | \(-0.815247\pi\) |
0.893022 | + | 0.450013i | \(0.148581\pi\) | |||||||
\(338\) | −5.25342 | + | 13.2365i | −0.285748 | + | 0.719969i | ||||
\(339\) | 0.448781 | − | 1.11161i | 0.0243744 | − | 0.0603745i | ||||
\(340\) | −0.438630 | − | 14.7377i | −0.0237881 | − | 0.799264i | ||||
\(341\) | 15.3410 | + | 15.3410i | 0.830762 | + | 0.830762i | ||||
\(342\) | −4.74640 | − | 28.7251i | −0.256656 | − | 1.55328i | ||||
\(343\) | − | 19.3222i | − | 1.04330i | ||||||
\(344\) | 18.9620 | − | 3.36301i | 1.02236 | − | 0.181322i | ||||
\(345\) | −1.81903 | − | 0.222864i | −0.0979335 | − | 0.0119986i | ||||
\(346\) | 31.0653 | − | 13.4125i | 1.67008 | − | 0.721062i | ||||
\(347\) | 8.16281 | − | 2.18722i | 0.438203 | − | 0.117416i | −0.0329715 | − | 0.999456i | \(-0.510497\pi\) |
0.471174 | + | 0.882040i | \(0.343830\pi\) | |||||||
\(348\) | −8.01714 | + | 21.6962i | −0.429764 | + | 1.16304i | ||||
\(349\) | −1.50715 | − | 0.403839i | −0.0806758 | − | 0.0216170i | 0.218255 | − | 0.975892i | \(-0.429963\pi\) |
−0.298931 | + | 0.954275i | \(0.596630\pi\) | |||||||
\(350\) | −0.286905 | − | 1.95415i | −0.0153357 | − | 0.104454i | ||||
\(351\) | 15.7217 | + | 19.3834i | 0.839160 | + | 1.03461i | ||||
\(352\) | 0.855574 | − | 15.1226i | 0.0456023 | − | 0.806039i | ||||
\(353\) | −8.13441 | − | 14.0892i | −0.432951 | − | 0.749893i | 0.564175 | − | 0.825655i | \(-0.309194\pi\) |
−0.997126 | + | 0.0757623i | \(0.975861\pi\) | |||||||
\(354\) | 8.22611 | − | 15.0674i | 0.437213 | − | 0.800821i | ||||
\(355\) | 4.03173 | + | 15.0466i | 0.213982 | + | 0.798592i | ||||
\(356\) | 32.1962 | + | 7.60803i | 1.70640 | + | 0.403225i | ||||
\(357\) | 8.76352 | − | 6.85052i | 0.463815 | − | 0.362568i | ||||
\(358\) | 2.69343 | − | 23.1104i | 0.142352 | − | 1.22142i | ||||
\(359\) | − | 3.08148i | − | 0.162634i | −0.996688 | − | 0.0813172i | \(-0.974087\pi\) | ||
0.996688 | − | 0.0813172i | \(-0.0259127\pi\) | |||||||
\(360\) | 14.4650 | + | 9.72473i | 0.762371 | + | 0.512538i | ||||
\(361\) | − | 28.0923i | − | 1.47854i | ||||||
\(362\) | −21.7288 | − | 2.53241i | −1.14204 | − | 0.133100i | ||||
\(363\) | 6.15208 | + | 2.48372i | 0.322900 | + | 0.130362i | ||||
\(364\) | −14.6244 | + | 9.03389i | −0.766527 | + | 0.473504i | ||||
\(365\) | 6.67079 | + | 24.8957i | 0.349165 | + | 1.30310i | ||||
\(366\) | 12.5320 | − | 7.63978i | 0.655057 | − | 0.399338i | ||||
\(367\) | −1.38231 | − | 2.39424i | −0.0721562 | − | 0.124978i | 0.827690 | − | 0.561186i | \(-0.189655\pi\) |
−0.899846 | + | 0.436208i | \(0.856321\pi\) | |||||||
\(368\) | −1.13448 | − | 1.71990i | −0.0591387 | − | 0.0896561i | ||||
\(369\) | −13.7141 | − | 3.41167i | −0.713930 | − | 0.177604i | ||||
\(370\) | −5.11942 | + | 0.751623i | −0.266146 | + | 0.0390750i | ||||
\(371\) | −12.8650 | − | 3.44716i | −0.667916 | − | 0.178968i | ||||
\(372\) | −22.9131 | − | 16.2115i | −1.18799 | − | 0.840525i | ||||
\(373\) | −22.6202 | + | 6.06106i | −1.17123 | + | 0.313830i | −0.791442 | − | 0.611244i | \(-0.790669\pi\) |
−0.379787 | + | 0.925074i | \(0.624003\pi\) | |||||||
\(374\) | −5.38689 | − | 12.4768i | −0.278550 | − | 0.645161i | ||||
\(375\) | 12.3728 | − | 16.4282i | 0.638928 | − | 0.848350i | ||||
\(376\) | −11.3059 | + | 16.1808i | −0.583056 | + | 0.834461i | ||||
\(377\) | − | 32.0707i | − | 1.65172i | ||||||
\(378\) | 0.550083 | + | 13.1381i | 0.0282932 | + | 0.675749i | ||||
\(379\) | 4.70551 | + | 4.70551i | 0.241706 | + | 0.241706i | 0.817555 | − | 0.575850i | \(-0.195329\pi\) |
−0.575850 | + | 0.817555i | \(0.695329\pi\) | |||||||
\(380\) | 20.5195 | + | 19.3334i | 1.05263 | + | 0.991781i | ||||
\(381\) | 9.80344 | − | 1.38041i | 0.502245 | − | 0.0707206i | ||||
\(382\) | 8.79012 | + | 3.48871i | 0.449742 | + | 0.178498i | ||||
\(383\) | 18.3311 | − | 31.7505i | 0.936678 | − | 1.62237i | 0.165063 | − | 0.986283i | \(-0.447217\pi\) |
0.771614 | − | 0.636091i | \(-0.219450\pi\) | |||||||
\(384\) | 2.21211 | + | 19.4707i | 0.112886 | + | 0.993608i | ||||
\(385\) | 4.92111 | + | 8.52361i | 0.250803 | + | 0.434403i | ||||
\(386\) | 0.192475 | + | 1.31098i | 0.00979671 | + | 0.0667269i | ||||
\(387\) | 0.367216 | + | 20.4228i | 0.0186666 | + | 1.03815i | ||||
\(388\) | −15.9278 | + | 4.78001i | −0.808611 | + | 0.242668i | ||||
\(389\) | −0.757647 | + | 2.82758i | −0.0384142 | + | 0.143364i | −0.982469 | − | 0.186423i | \(-0.940310\pi\) |
0.944055 | + | 0.329787i | \(0.106977\pi\) | |||||||
\(390\) | −23.4865 | − | 5.69612i | −1.18929 | − | 0.288434i | ||||
\(391\) | −1.60094 | − | 0.924302i | −0.0809630 | − | 0.0467440i | ||||
\(392\) | 10.7022 | + | 0.925571i | 0.540545 | + | 0.0467484i | ||||
\(393\) | 6.19634 | + | 14.5870i | 0.312564 | + | 0.735817i | ||||
\(394\) | −29.3934 | − | 3.42570i | −1.48082 | − | 0.172584i | ||||
\(395\) | 11.6704 | + | 11.6704i | 0.587202 | + | 0.587202i | ||||
\(396\) | 15.6989 | + | 3.41291i | 0.788900 | + | 0.171505i | ||||
\(397\) | 13.3392 | − | 13.3392i | 0.669474 | − | 0.669474i | −0.288120 | − | 0.957594i | \(-0.593030\pi\) |
0.957594 | + | 0.288120i | \(0.0930302\pi\) | |||||||
\(398\) | −2.07951 | − | 2.62817i | −0.104236 | − | 0.131738i | ||||
\(399\) | −2.58651 | + | 21.1113i | −0.129488 | + | 1.05689i | ||||
\(400\) | 3.11638 | − | 0.185667i | 0.155819 | − | 0.00928333i | ||||
\(401\) | −4.84547 | + | 8.39261i | −0.241971 | + | 0.419107i | −0.961276 | − | 0.275588i | \(-0.911127\pi\) |
0.719304 | + | 0.694695i | \(0.244461\pi\) | |||||||
\(402\) | −3.76568 | − | 2.05589i | −0.187815 | − | 0.102539i | ||||
\(403\) | 37.5914 | + | 10.0726i | 1.87256 | + | 0.501751i | ||||
\(404\) | −8.57119 | − | 4.61419i | −0.426433 | − | 0.229565i | ||||
\(405\) | −12.5941 | + | 13.5340i | −0.625807 | + | 0.672511i | ||||
\(406\) | 10.0858 | − | 13.5570i | 0.500551 | − | 0.672824i | ||||
\(407\) | −4.13030 | + | 2.38463i | −0.204731 | + | 0.118202i | ||||
\(408\) | 9.59436 | + | 14.7333i | 0.474992 | + | 0.729409i | ||||
\(409\) | −6.19403 | − | 3.57613i | −0.306275 | − | 0.176828i | 0.338983 | − | 0.940792i | \(-0.389917\pi\) |
−0.645258 | + | 0.763964i | \(0.723250\pi\) | |||||||
\(410\) | 12.5636 | − | 5.42438i | 0.620474 | − | 0.267891i | ||||
\(411\) | 0.843814 | − | 0.659617i | 0.0416223 | − | 0.0325365i | ||||
\(412\) | 9.71059 | − | 10.3063i | 0.478406 | − | 0.507757i | ||||
\(413\) | −8.86768 | + | 8.86768i | −0.436350 | + | 0.436350i | ||||
\(414\) | 1.99043 | − | 0.902168i | 0.0978245 | − | 0.0443391i | ||||
\(415\) | −17.0092 | −0.834948 | ||||||||
\(416\) | −12.2344 | − | 24.2601i | −0.599842 | − | 1.18945i | ||||
\(417\) | −30.4647 | + | 12.9410i | −1.49186 | + | 0.633721i | ||||
\(418\) | 24.1530 | + | 9.58609i | 1.18136 | + | 0.468871i | ||||
\(419\) | −4.80711 | − | 17.9404i | −0.234843 | − | 0.876445i | −0.978220 | − | 0.207572i | \(-0.933444\pi\) |
0.743377 | − | 0.668873i | \(-0.233223\pi\) | |||||||
\(420\) | −8.13694 | − | 9.79410i | −0.397042 | − | 0.477903i | ||||
\(421\) | −0.527873 | + | 1.97005i | −0.0257270 | + | 0.0960144i | −0.977596 | − | 0.210492i | \(-0.932493\pi\) |
0.951869 | + | 0.306506i | \(0.0991601\pi\) | |||||||
\(422\) | −2.28811 | − | 1.70225i | −0.111383 | − | 0.0828644i | ||||
\(423\) | −15.0683 | − | 14.5359i | −0.732644 | − | 0.706762i | ||||
\(424\) | 7.18051 | − | 19.7897i | 0.348716 | − | 0.961071i | ||||
\(425\) | 2.42577 | − | 1.40052i | 0.117667 | − | 0.0679353i | ||||
\(426\) | −13.4445 | − | 12.8176i | −0.651390 | − | 0.621016i | ||||
\(427\) | −10.3567 | + | 2.77508i | −0.501198 | + | 0.134295i | ||||
\(428\) | 16.0862 | − | 9.93689i | 0.777556 | − | 0.480317i | ||||
\(429\) | −22.0580 | + | 3.10596i | −1.06497 | + | 0.149957i | ||||
\(430\) | −12.2730 | − | 15.5111i | −0.591856 | − | 0.748012i | ||||
\(431\) | −19.8202 | −0.954707 | −0.477354 | − | 0.878711i | \(-0.658404\pi\) | ||||
−0.477354 | + | 0.878711i | \(0.658404\pi\) | |||||||
\(432\) | −20.7641 | − | 0.923036i | −0.999013 | − | 0.0444096i | ||||
\(433\) | 23.7342 | 1.14060 | 0.570298 | − | 0.821438i | \(-0.306828\pi\) | ||||
0.570298 | + | 0.821438i | \(0.306828\pi\) | |||||||
\(434\) | 12.7231 | + | 16.0799i | 0.610727 | + | 0.771862i | ||||
\(435\) | 23.5242 | − | 3.31242i | 1.12790 | − | 0.158818i | ||||
\(436\) | 17.3058 | + | 28.0153i | 0.828799 | + | 1.34169i | ||||
\(437\) | 3.41431 | − | 0.914861i | 0.163329 | − | 0.0437637i | ||||
\(438\) | −22.2449 | − | 21.2077i | −1.06290 | − | 1.01334i | ||||
\(439\) | 19.0949 | − | 11.0245i | 0.911350 | − | 0.526168i | 0.0304850 | − | 0.999535i | \(-0.490295\pi\) |
0.880865 | + | 0.473367i | \(0.156961\pi\) | |||||||
\(440\) | −14.0928 | + | 6.58868i | −0.671846 | + | 0.314103i | ||||
\(441\) | −2.75060 | + | 11.0568i | −0.130981 | + | 0.526515i | ||||
\(442\) | −19.5590 | − | 14.5510i | −0.930325 | − | 0.692121i | ||||
\(443\) | 2.60232 | − | 9.71199i | 0.123640 | − | 0.461431i | −0.876148 | − | 0.482043i | \(-0.839895\pi\) |
0.999788 | + | 0.0206123i | \(0.00656156\pi\) | |||||||
\(444\) | 4.74595 | − | 3.94293i | 0.225233 | − | 0.187123i | ||||
\(445\) | −8.79430 | − | 32.8208i | −0.416890 | − | 1.55585i | ||||
\(446\) | 14.5908 | + | 5.79094i | 0.690895 | + | 0.274209i | ||||
\(447\) | −8.35953 | + | 3.55100i | −0.395392 | + | 0.167957i | ||||
\(448\) | 2.45773 | − | 14.1029i | 0.116117 | − | 0.666299i | ||||
\(449\) | 24.6980 | 1.16557 | 0.582786 | − | 0.812626i | \(-0.301963\pi\) | ||||
0.582786 | + | 0.812626i | \(0.301963\pi\) | |||||||
\(450\) | −0.324132 | + | 3.29538i | −0.0152797 | + | 0.155346i | ||||
\(451\) | 8.91903 | − | 8.91903i | 0.419981 | − | 0.419981i | ||||
\(452\) | −1.00749 | − | 0.949252i | −0.0473883 | − | 0.0446491i | ||||
\(453\) | −12.2921 | + | 9.60887i | −0.577535 | + | 0.451464i | ||||
\(454\) | −22.5632 | + | 9.74171i | −1.05894 | + | 0.457201i | ||||
\(455\) | 15.2897 | + | 8.82752i | 0.716793 | + | 0.413841i | ||||
\(456\) | −32.8928 | − | 6.94828i | −1.54035 | − | 0.325383i | ||||
\(457\) | 27.1171 | − | 15.6561i | 1.26849 | − | 0.732360i | 0.293784 | − | 0.955872i | \(-0.405085\pi\) |
0.974701 | + | 0.223511i | \(0.0717520\pi\) | |||||||
\(458\) | 13.5171 | − | 18.1692i | 0.631612 | − | 0.848992i | ||||
\(459\) | −17.0302 | + | 7.59842i | −0.794902 | + | 0.354664i | ||||
\(460\) | −1.00309 | + | 1.86330i | −0.0467691 | + | 0.0868769i | ||||
\(461\) | −11.8344 | − | 3.17103i | −0.551185 | − | 0.147689i | −0.0275314 | − | 0.999621i | \(-0.508765\pi\) |
−0.523653 | + | 0.851931i | \(0.675431\pi\) | |||||||
\(462\) | −10.3012 | − | 5.62400i | −0.479255 | − | 0.261652i | ||||
\(463\) | −12.7250 | + | 22.0403i | −0.591379 | + | 1.02430i | 0.402668 | + | 0.915346i | \(0.368083\pi\) |
−0.994047 | + | 0.108953i | \(0.965250\pi\) | |||||||
\(464\) | 19.9754 | + | 17.7290i | 0.927333 | + | 0.823049i | ||||
\(465\) | −3.50574 | + | 28.6141i | −0.162575 | + | 1.32695i | ||||
\(466\) | 22.1170 | + | 27.9524i | 1.02455 | + | 1.29487i | ||||
\(467\) | −6.28473 | + | 6.28473i | −0.290822 | + | 0.290822i | −0.837405 | − | 0.546583i | \(-0.815928\pi\) |
0.546583 | + | 0.837405i | \(0.315928\pi\) | |||||||
\(468\) | 27.4491 | − | 8.77852i | 1.26883 | − | 0.405787i | ||||
\(469\) | 2.21624 | + | 2.21624i | 0.102336 | + | 0.102336i | ||||
\(470\) | 20.1374 | + | 2.34694i | 0.928871 | + | 0.108256i | ||||
\(471\) | 7.67200 | + | 18.0609i | 0.353507 | + | 0.832203i | ||||
\(472\) | −12.7567 | − | 15.1721i | −0.587175 | − | 0.698352i | ||||
\(473\) | −15.7885 | − | 9.11550i | −0.725956 | − | 0.419131i | ||||
\(474\) | −19.1264 | − | 4.63868i | −0.878506 | − | 0.213062i | ||||
\(475\) | −1.38622 | + | 5.17343i | −0.0636040 | + | 0.237373i | ||||
\(476\) | −3.69192 | − | 12.3021i | −0.169219 | − | 0.563866i | ||||
\(477\) | 19.5352 | + | 10.8151i | 0.894454 | + | 0.495190i | ||||
\(478\) | −1.70131 | − | 11.5879i | −0.0778161 | − | 0.530017i | ||||
\(479\) | −1.61178 | − | 2.79169i | −0.0736442 | − | 0.127555i | 0.826852 | − | 0.562420i | \(-0.190130\pi\) |
−0.900496 | + | 0.434865i | \(0.856796\pi\) | |||||||
\(480\) | 16.5314 | − | 11.4798i | 0.754554 | − | 0.523978i | ||||
\(481\) | −4.27757 | + | 7.40897i | −0.195040 | + | 0.337820i | ||||
\(482\) | −16.8262 | − | 6.67815i | −0.766413 | − | 0.304181i | ||||
\(483\) | −1.58087 | + | 0.222600i | −0.0719321 | + | 0.0101287i | ||||
\(484\) | 5.25351 | − | 5.57582i | 0.238796 | − | 0.253446i | ||||
\(485\) | 12.0772 | + | 12.0772i | 0.548399 | + | 0.548399i | ||||
\(486\) | 4.42242 | − | 21.5973i | 0.200605 | − | 0.979672i | ||||
\(487\) | 11.2953i | 0.511838i | 0.966698 | + | 0.255919i | \(0.0823780\pi\) | ||||
−0.966698 | + | 0.255919i | \(0.917622\pi\) | |||||||
\(488\) | −2.95957 | − | 16.6872i | −0.133973 | − | 0.755395i | ||||
\(489\) | −17.5468 | + | 23.2982i | −0.793496 | + | 1.05358i | ||||
\(490\) | −4.37332 | − | 10.1292i | −0.197567 | − | 0.457593i | ||||
\(491\) | −27.3357 | + | 7.32459i | −1.23364 | + | 0.330554i | −0.815998 | − | 0.578055i | \(-0.803812\pi\) |
−0.417647 | + | 0.908609i | \(0.637145\pi\) | |||||||
\(492\) | −9.42509 | + | 13.3213i | −0.424916 | + | 0.600571i | ||||
\(493\) | 23.1468 | + | 6.20215i | 1.04248 | + | 0.279331i | ||||
\(494\) | 46.1191 | − | 6.77112i | 2.07500 | − | 0.304647i | ||||
\(495\) | −4.55651 | − | 15.8590i | −0.204800 | − | 0.712808i | ||||
\(496\) | −27.0547 | + | 17.8457i | −1.21479 | + | 0.801297i | ||||
\(497\) | 6.78498 | + | 11.7519i | 0.304348 | + | 0.527146i | ||||
\(498\) | 17.3184 | − | 10.5577i | 0.776055 | − | 0.473101i | ||||
\(499\) | −4.52377 | − | 16.8830i | −0.202512 | − | 0.755785i | −0.990194 | − | 0.139702i | \(-0.955385\pi\) |
0.787682 | − | 0.616082i | \(-0.211281\pi\) | |||||||
\(500\) | −12.4805 | − | 20.2039i | −0.558146 | − | 0.903548i | ||||
\(501\) | 15.1966 | + | 6.13520i | 0.678936 | + | 0.274100i | ||||
\(502\) | −27.6954 | − | 3.22780i | −1.23611 | − | 0.144064i | ||||
\(503\) | 14.1184i | 0.629509i | 0.949173 | + | 0.314754i | \(0.101922\pi\) | ||||
−0.949173 | + | 0.314754i | \(0.898078\pi\) | |||||||
\(504\) | 14.3641 | + | 4.92150i | 0.639828 | + | 0.219221i | ||||
\(505\) | 9.99782i | 0.444897i | ||||||||
\(506\) | −0.225795 | + | 1.93738i | −0.0100378 | + | 0.0861272i | ||||
\(507\) | −13.7412 | + | 10.7416i | −0.610269 | + | 0.477053i | ||||
\(508\) | 2.62894 | − | 11.1253i | 0.116640 | − | 0.493606i | ||||
\(509\) | −7.88327 | − | 29.4208i | −0.349420 | − | 1.30405i | −0.887363 | − | 0.461072i | \(-0.847465\pi\) |
0.537943 | − | 0.842981i | \(-0.319202\pi\) | |||||||
\(510\) | 8.65319 | − | 15.8496i | 0.383169 | − | 0.701833i | ||||
\(511\) | 11.2262 | + | 19.4444i | 0.496619 | + | 0.860170i | ||||
\(512\) | 21.8738 | + | 5.79099i | 0.966696 | + | 0.255928i | ||||
\(513\) | 12.7524 | − | 33.2997i | 0.563034 | − | 1.47022i | ||||
\(514\) | 1.44394 | + | 9.83492i | 0.0636896 | + | 0.433800i | ||||
\(515\) | −14.0482 | − | 3.76420i | −0.619037 | − | 0.165870i | ||||
\(516\) | 22.1239 | + | 8.17518i | 0.973950 | + | 0.359892i | ||||
\(517\) | 18.0500 | − | 4.83648i | 0.793838 | − | 0.212708i | ||||
\(518\) | −4.13826 | + | 1.78670i | −0.181825 | + | 0.0785032i | ||||
\(519\) | 41.1343 | + | 5.03969i | 1.80559 | + | 0.221218i | ||||
\(520\) | −15.9835 | + | 22.8753i | −0.700921 | + | 1.00315i | ||||
\(521\) | − | 8.75761i | − | 0.383678i | −0.981426 | − | 0.191839i | \(-0.938555\pi\) | ||
0.981426 | − | 0.191839i | \(-0.0614451\pi\) | |||||||
\(522\) | −21.8958 | + | 17.9742i | −0.958354 | + | 0.786710i | ||||
\(523\) | 21.3424 | + | 21.3424i | 0.933236 | + | 0.933236i | 0.997907 | − | 0.0646706i | \(-0.0205997\pi\) |
−0.0646706 | + | 0.997907i | \(0.520600\pi\) | |||||||
\(524\) | 18.2922 | − | 0.544420i | 0.799097 | − | 0.0237831i | ||||
\(525\) | 0.905583 | − | 2.24309i | 0.0395229 | − | 0.0978966i | ||||
\(526\) | −9.14327 | + | 23.0373i | −0.398665 | + | 1.00447i | ||||
\(527\) | −14.5396 | + | 25.1834i | −0.633356 | + | 1.09700i | ||||
\(528\) | 10.2593 | − | 15.4559i | 0.446480 | − | 0.672632i | ||||
\(529\) | −11.3673 | − | 19.6888i | −0.494232 | − | 0.856035i | ||||
\(530\) | −21.3927 | + | 3.14084i | −0.929241 | + | 0.136429i | ||||
\(531\) | 18.0161 | − | 10.8380i | 0.781830 | − | 0.470330i | ||||
\(532\) | 21.6251 | + | 11.6416i | 0.937566 | + | 0.504727i | ||||
\(533\) | 5.85605 | − | 21.8551i | 0.253654 | − | 0.946648i | ||||
\(534\) | 29.3262 | + | 27.9587i | 1.26907 | + | 1.20989i | ||||
\(535\) | −16.8180 | − | 9.70989i | −0.727107 | − | 0.419795i | ||||
\(536\) | −3.79186 | + | 3.18819i | −0.163783 | + | 0.137709i | ||||
\(537\) | 17.1433 | − | 22.7623i | 0.739787 | − | 0.982268i | ||||
\(538\) | −0.0722154 | + | 0.619628i | −0.00311342 | + | 0.0267141i | ||||
\(539\) | −7.19083 | − | 7.19083i | −0.309731 | − | 0.309731i | ||||
\(540\) | 9.27422 | + | 19.2275i | 0.399099 | + | 0.827421i | ||||
\(541\) | −25.1121 | + | 25.1121i | −1.07965 | + | 1.07965i | −0.0831121 | + | 0.996540i | \(0.526486\pi\) |
−0.996540 | + | 0.0831121i | \(0.973514\pi\) | |||||||
\(542\) | 8.28445 | − | 6.55497i | 0.355848 | − | 0.281560i | ||||
\(543\) | −21.4016 | − | 16.1184i | −0.918429 | − | 0.691707i | ||||
\(544\) | 19.8756 | − | 4.13843i | 0.852157 | − | 0.177434i | ||||
\(545\) | 16.9105 | − | 29.2898i | 0.724366 | − | 1.25464i | ||||
\(546\) | −21.0469 | + | 0.502406i | −0.900726 | + | 0.0215010i | ||||
\(547\) | −5.32802 | − | 1.42764i | −0.227810 | − | 0.0610414i | 0.143108 | − | 0.989707i | \(-0.454290\pi\) |
−0.370918 | + | 0.928666i | \(0.620957\pi\) | |||||||
\(548\) | −0.355484 | − | 1.18453i | −0.0151855 | − | 0.0506008i | ||||
\(549\) | 17.9728 | − | 0.323163i | 0.767060 | − | 0.0137923i | ||||
\(550\) | −2.37121 | − | 1.76407i | −0.101109 | − | 0.0752203i | ||||
\(551\) | −39.6818 | + | 22.9103i | −1.69050 | + | 0.976013i | ||||
\(552\) | −0.135241 | − | 2.51979i | −0.00575622 | − | 0.107250i | ||||
\(553\) | 12.4513 | + | 7.18876i | 0.529483 | + | 0.305697i | ||||
\(554\) | −5.88940 | − | 13.6407i | −0.250217 | − | 0.579538i | ||||
\(555\) | −5.87637 | − | 2.37241i | −0.249438 | − | 0.100703i | ||||
\(556\) | 1.13701 | + | 38.2029i | 0.0482201 | + | 1.62016i | ||||
\(557\) | −15.4160 | + | 15.4160i | −0.653197 | + | 0.653197i | −0.953761 | − | 0.300565i | \(-0.902825\pi\) |
0.300565 | + | 0.953761i | \(0.402825\pi\) | |||||||
\(558\) | −14.1914 | − | 31.3103i | −0.600771 | − | 1.32547i | ||||
\(559\) | −32.7029 | −1.38319 | ||||||||
\(560\) | −13.9506 | + | 4.64331i | −0.589519 | + | 0.196216i | ||||
\(561\) | 2.02410 | − | 16.5208i | 0.0854574 | − | 0.697510i | ||||
\(562\) | 3.47202 | − | 8.74807i | 0.146458 | − | 0.369015i | ||||
\(563\) | 4.27894 | + | 15.9692i | 0.180336 | + | 0.673022i | 0.995581 | + | 0.0939062i | \(0.0299354\pi\) |
−0.815245 | + | 0.579116i | \(0.803398\pi\) | |||||||
\(564\) | −21.9603 | + | 10.1098i | −0.924694 | + | 0.425699i | ||||
\(565\) | −0.367967 | + | 1.37327i | −0.0154805 | + | 0.0577740i | ||||
\(566\) | −9.29536 | + | 12.4945i | −0.390713 | + | 0.525183i | ||||
\(567\) | −7.54583 | + | 14.2277i | −0.316895 | + | 0.597507i | ||||
\(568\) | −19.4304 | + | 9.08415i | −0.815282 | + | 0.381163i | ||||
\(569\) | 9.85656 | − | 5.69069i | 0.413208 | − | 0.238566i | −0.278959 | − | 0.960303i | \(-0.589989\pi\) |
0.692167 | + | 0.721737i | \(0.256656\pi\) | |||||||
\(570\) | 9.73010 | + | 33.1296i | 0.407549 | + | 1.38764i | ||||
\(571\) | 11.8982 | − | 3.18813i | 0.497926 | − | 0.133419i | −0.00111115 | − | 0.999999i | \(-0.500354\pi\) |
0.499037 | + | 0.866580i | \(0.333687\pi\) | |||||||
\(572\) | −5.91517 | + | 25.0322i | −0.247326 | + | 1.04665i | ||||
\(573\) | 7.13334 | + | 9.12532i | 0.298000 | + | 0.381216i | ||||
\(574\) | 9.34864 | − | 7.39700i | 0.390205 | − | 0.308745i | ||||
\(575\) | −0.402016 | −0.0167652 | ||||||||
\(576\) | −9.70640 | + | 21.9496i | −0.404433 | + | 0.914568i | ||||
\(577\) | 21.7471 | 0.905342 | 0.452671 | − | 0.891678i | \(-0.350471\pi\) | ||||
0.452671 | + | 0.891678i | \(0.350471\pi\) | |||||||
\(578\) | −4.56910 | + | 3.61524i | −0.190049 | + | 0.150374i | ||||
\(579\) | −0.607525 | + | 1.50481i | −0.0252479 | + | 0.0625380i | ||||
\(580\) | 6.30837 | − | 26.6962i | 0.261941 | − | 1.10850i | ||||
\(581\) | −14.3123 | + | 3.83498i | −0.593775 | + | 0.159102i | ||||
\(582\) | −19.7932 | − | 4.80039i | −0.820454 | − | 0.198982i | ||||
\(583\) | −17.2595 | + | 9.96475i | −0.714814 | + | 0.412698i | ||||
\(584\) | −32.1490 | + | 15.0304i | −1.33034 | + | 0.621961i | ||||
\(585\) | −21.3024 | − | 20.5499i | −0.880748 | − | 0.849634i | ||||
\(586\) | −2.41135 | + | 3.24125i | −0.0996118 | + | 0.133895i | ||||
\(587\) | 4.07718 | − | 15.2163i | 0.168283 | − | 0.628042i | −0.829315 | − | 0.558781i | \(-0.811269\pi\) |
0.997599 | − | 0.0692610i | \(-0.0220641\pi\) | |||||||
\(588\) | 10.7401 | + | 7.59884i | 0.442914 | + | 0.313371i | ||||
\(589\) | −14.3911 | − | 53.7083i | −0.592975 | − | 2.21301i | ||||
\(590\) | −7.51039 | + | 18.9231i | −0.309198 | + | 0.779052i | ||||
\(591\) | −28.9508 | − | 21.8041i | −1.19088 | − | 0.896899i | ||||
\(592\) | −2.25002 | − | 6.76006i | −0.0924752 | − | 0.277837i | ||||
\(593\) | 10.1125 | 0.415270 | 0.207635 | − | 0.978206i | \(-0.433423\pi\) | ||||
0.207635 | + | 0.978206i | \(0.433423\pi\) | |||||||
\(594\) | 14.4831 | + | 13.3190i | 0.594248 | + | 0.546486i | ||||
\(595\) | −9.32807 | + | 9.32807i | −0.382414 | + | 0.382414i | ||||
\(596\) | 0.311997 | + | 10.4829i | 0.0127799 | + | 0.429396i | ||||
\(597\) | −0.572312 | − | 4.06446i | −0.0234232 | − | 0.166347i | ||||
\(598\) | 1.38688 | + | 3.21221i | 0.0567137 | + | 0.131357i | ||||
\(599\) | −4.23917 | − | 2.44748i | −0.173208 | − | 0.100002i | 0.410890 | − | 0.911685i | \(-0.365218\pi\) |
−0.584097 | + | 0.811684i | \(0.698551\pi\) | |||||||
\(600\) | 3.40898 | + | 1.73156i | 0.139171 | + | 0.0706905i | ||||
\(601\) | 25.8322 | − | 14.9142i | 1.05372 | − | 0.608364i | 0.130030 | − | 0.991510i | \(-0.458493\pi\) |
0.923688 | + | 0.383146i | \(0.125159\pi\) | |||||||
\(602\) | −13.8243 | − | 10.2847i | −0.563436 | − | 0.419171i | ||||
\(603\) | −2.70867 | − | 4.50263i | −0.110306 | − | 0.183361i | ||||
\(604\) | 5.17847 | + | 17.2555i | 0.210709 | + | 0.702117i | ||||
\(605\) | −7.60019 | − | 2.03647i | −0.308992 | − | 0.0827941i | ||||
\(606\) | −6.20569 | − | 10.1796i | −0.252089 | − | 0.413516i | ||||
\(607\) | −8.48425 | + | 14.6952i | −0.344365 | + | 0.596458i | −0.985238 | − | 0.171189i | \(-0.945239\pi\) |
0.640873 | + | 0.767647i | \(0.278572\pi\) | |||||||
\(608\) | −21.2777 | + | 32.4686i | −0.862926 | + | 1.31678i | ||||
\(609\) | 19.0476 | − | 8.09112i | 0.771846 | − | 0.327869i | ||||
\(610\) | −13.6503 | + | 10.8007i | −0.552685 | + | 0.437306i | ||||
\(611\) | 23.7025 | − | 23.7025i | 0.958901 | − | 0.958901i | ||||
\(612\) | 1.02745 | + | 21.5088i | 0.0415321 | + | 0.869442i | ||||
\(613\) | 30.2781 | + | 30.2781i | 1.22292 | + | 1.22292i | 0.966589 | + | 0.256332i | \(0.0825140\pi\) |
0.256332 | + | 0.966589i | \(0.417486\pi\) | |||||||
\(614\) | −1.88853 | + | 16.2041i | −0.0762150 | + | 0.653946i | ||||
\(615\) | 16.6358 | + | 2.03818i | 0.670820 | + | 0.0821874i | ||||
\(616\) | −10.3728 | + | 8.72146i | −0.417932 | + | 0.351398i | ||||
\(617\) | 14.9377 | + | 8.62428i | 0.601368 | + | 0.347200i | 0.769580 | − | 0.638551i | \(-0.220466\pi\) |
−0.168211 | + | 0.985751i | \(0.553799\pi\) | |||||||
\(618\) | 16.6400 | − | 4.88715i | 0.669359 | − | 0.196590i | ||||
\(619\) | 4.48369 | − | 16.7334i | 0.180215 | − | 0.672570i | −0.815390 | − | 0.578912i | \(-0.803477\pi\) |
0.995604 | − | 0.0936580i | \(-0.0298560\pi\) | |||||||
\(620\) | 29.3104 | + | 15.7789i | 1.17713 | + | 0.633696i | ||||
\(621\) | 2.66205 | + | 0.277671i | 0.106824 | + | 0.0111426i | ||||
\(622\) | −13.4653 | + | 1.97694i | −0.539908 | + | 0.0792682i | ||||
\(623\) | −14.7999 | − | 25.6341i | −0.592945 | − | 1.02701i | ||||
\(624\) | 2.07523 | − | 33.2121i | 0.0830757 | − | 1.32955i | ||||
\(625\) | −10.2442 | + | 17.7435i | −0.409770 | + | 0.709742i | ||||
\(626\) | −13.4054 | + | 33.7761i | −0.535787 | + | 1.34997i | ||||
\(627\) | 19.6006 | + | 25.0741i | 0.782773 | + | 1.00136i | ||||
\(628\) | 22.6485 | − | 0.674074i | 0.903773 | − | 0.0268985i | ||||
\(629\) | −4.52012 | − | 4.52012i | −0.180229 | − | 0.180229i | ||||
\(630\) | −2.54235 | − | 15.3863i | −0.101290 | − | 0.613004i | ||||
\(631\) | − | 11.6246i | − | 0.462766i | −0.972863 | − | 0.231383i | \(-0.925675\pi\) | ||
0.972863 | − | 0.231383i | \(-0.0743251\pi\) | |||||||
\(632\) | −13.0163 | + | 18.6287i | −0.517759 | + | 0.741009i | ||||
\(633\) | −1.36559 | − | 3.21478i | −0.0542774 | − | 0.127776i | ||||
\(634\) | 20.9774 | − | 9.05703i | 0.833118 | − | 0.359701i | ||||
\(635\) | −11.3411 | + | 3.03885i | −0.450059 | + | 0.120593i | ||||
\(636\) | 19.8321 | − | 16.4765i | 0.786393 | − | 0.653336i | ||||
\(637\) | −17.6203 | − | 4.72135i | −0.698142 | − | 0.187067i | ||||
\(638\) | −3.67279 | − | 25.0159i | −0.145407 | − | 0.990389i | ||||
\(639\) | −6.28229 | − | 21.8656i | −0.248524 | − | 0.864989i | ||||
\(640\) | −5.41213 | − | 22.6011i | −0.213933 | − | 0.893385i | ||||
\(641\) | −3.04338 | − | 5.27129i | −0.120206 | − | 0.208203i | 0.799643 | − | 0.600476i | \(-0.205022\pi\) |
−0.919849 | + | 0.392273i | \(0.871689\pi\) | |||||||
\(642\) | 23.1507 | − | 0.552625i | 0.913686 | − | 0.0218104i | ||||
\(643\) | −8.34195 | − | 31.1326i | −0.328974 | − | 1.22775i | −0.910256 | − | 0.414046i | \(-0.864115\pi\) |
0.581282 | − | 0.813702i | \(-0.302551\pi\) | |||||||
\(644\) | −0.423934 | + | 1.79403i | −0.0167053 | + | 0.0706947i | ||||
\(645\) | −3.37771 | − | 23.9880i | −0.132997 | − | 0.944525i | ||||
\(646\) | −4.03199 | + | 34.5956i | −0.158636 | + | 1.36114i | ||||
\(647\) | 13.1882i | 0.518482i | 0.965813 | + | 0.259241i | \(0.0834724\pi\) | ||||
−0.965813 | + | 0.259241i | \(0.916528\pi\) | |||||||
\(648\) | −21.3774 | − | 13.8205i | −0.839784 | − | 0.542920i | ||||
\(649\) | 18.7653i | 0.736604i | ||||||||
\(650\) | −5.26583 | − | 0.613713i | −0.206543 | − | 0.0240718i | ||||
\(651\) | 3.50158 | + | 24.8677i | 0.137238 | + | 0.974641i | ||||
\(652\) | 17.6996 | + | 28.6528i | 0.693172 | + | 1.12213i | ||||
\(653\) | 4.09053 | + | 15.2661i | 0.160075 | + | 0.597407i | 0.998617 | + | 0.0525710i | \(0.0167416\pi\) |
−0.838542 | + | 0.544836i | \(0.816592\pi\) | |||||||
\(654\) | 0.962437 | + | 40.3187i | 0.0376343 | + | 1.57659i | ||||
\(655\) | −9.39787 | − | 16.2776i | −0.367205 | − | 0.636018i | ||||
\(656\) | 10.3752 | + | 15.7292i | 0.405085 | + | 0.614121i | ||||
\(657\) | −10.3945 | − | 36.1782i | −0.405528 | − | 1.41144i | ||||
\(658\) | 17.4738 | − | 2.56546i | 0.681198 | − | 0.100012i | ||||
\(659\) | 34.5804 | + | 9.26579i | 1.34706 | + | 0.360944i | 0.859049 | − | 0.511893i | \(-0.171056\pi\) |
0.488012 | + | 0.872837i | \(0.337722\pi\) | |||||||
\(660\) | −18.9724 | − | 1.75340i | −0.738499 | − | 0.0682509i | ||||
\(661\) | −24.5781 | + | 6.58569i | −0.955978 | + | 0.256153i | −0.702897 | − | 0.711292i | \(-0.748111\pi\) |
−0.253081 | + | 0.967445i | \(0.581444\pi\) | |||||||
\(662\) | −11.3801 | − | 26.3578i | −0.442298 | − | 1.02443i | ||||
\(663\) | −11.6732 | − | 27.4802i | −0.453349 | − | 1.06724i | ||||
\(664\) | −4.08993 | − | 23.0606i | −0.158720 | − | 0.894926i | ||||
\(665\) | − | 25.2244i | − | 0.978162i | ||||||
\(666\) | 7.45576 | − | 1.23195i | 0.288905 | − | 0.0477372i | ||||
\(667\) | −2.43195 | − | 2.43195i | −0.0941656 | − | 0.0941656i | ||||
\(668\) | 12.9770 | − | 13.7732i | 0.502097 | − | 0.532901i | ||||
\(669\) | 11.8407 | + | 15.1472i | 0.457788 | + | 0.585625i | ||||
\(670\) | 4.72932 | + | 1.87702i | 0.182710 | + | 0.0725156i | ||||
\(671\) | −8.02196 | + | 13.8944i | −0.309684 | + | 0.536389i | ||||
\(672\) | 11.3220 | − | 13.3869i | 0.436757 | − | 0.516411i | ||||
\(673\) | −16.8241 | − | 29.1402i | −0.648522 | − | 1.12327i | −0.983476 | − | 0.181039i | \(-0.942054\pi\) |
0.334954 | − | 0.942235i | \(-0.391279\pi\) | |||||||
\(674\) | −0.428316 | − | 2.91732i | −0.0164981 | − | 0.112371i | ||||
\(675\) | −2.38116 | + | 3.28282i | −0.0916509 | + | 0.126356i | ||||
\(676\) | 5.78894 | + | 19.2897i | 0.222652 | + | 0.741912i | ||||
\(677\) | −9.52351 | + | 35.5422i | −0.366018 | + | 1.36600i | 0.500017 | + | 0.866015i | \(0.333327\pi\) |
−0.866035 | + | 0.499983i | \(0.833340\pi\) | |||||||
\(678\) | −0.477740 | − | 1.62663i | −0.0183475 | − | 0.0624705i | ||||
\(679\) | 12.8854 | + | 7.43937i | 0.494495 | + | 0.285497i | ||||
\(680\) | −13.4190 | − | 15.9598i | −0.514595 | − | 0.612030i | ||||
\(681\) | −29.8764 | − | 3.66039i | −1.14487 | − | 0.140267i | ||||
\(682\) | 30.4757 | + | 3.55183i | 1.16698 | + | 0.136007i | ||||
\(683\) | −0.339146 | − | 0.339146i | −0.0129771 | − | 0.0129771i | 0.700588 | − | 0.713566i | \(-0.252921\pi\) |
−0.713566 | + | 0.700588i | \(0.752921\pi\) | |||||||
\(684\) | −30.4707 | − | 27.6923i | −1.16507 | − | 1.05884i | ||||
\(685\) | −0.898173 | + | 0.898173i | −0.0343174 | + | 0.0343174i | ||||
\(686\) | −16.9555 | − | 21.4290i | −0.647363 | − | 0.818165i | ||||
\(687\) | 25.5277 | − | 10.8438i | 0.973941 | − | 0.413715i | ||||
\(688\) | 18.0785 | − | 20.3691i | 0.689237 | − | 0.776566i | ||||
\(689\) | −17.8749 | + | 30.9602i | −0.680978 | + | 1.17949i | ||||
\(690\) | −2.21295 | + | 1.34906i | −0.0842455 | + | 0.0513580i | ||||
\(691\) | 17.3154 | + | 4.63964i | 0.658707 | + | 0.176500i | 0.572663 | − | 0.819791i | \(-0.305911\pi\) |
0.0860448 | + | 0.996291i | \(0.472577\pi\) | |||||||
\(692\) | 22.6830 | − | 42.1353i | 0.862279 | − | 1.60174i | ||||
\(693\) | −7.40971 | − | 12.3172i | −0.281472 | − | 0.467890i | ||||
\(694\) | 7.13356 | − | 9.58869i | 0.270786 | − | 0.363982i | ||||
\(695\) | 33.9955 | − | 19.6273i | 1.28952 | − | 0.744506i | ||||
\(696\) | 10.1474 | + | 31.0971i | 0.384636 | + | 1.17873i | ||||
\(697\) | 14.6412 | + | 8.45311i | 0.554576 | + | 0.320184i | ||||
\(698\) | −2.02586 | + | 0.874671i | −0.0766800 | + | 0.0331068i | ||||
\(699\) | 6.08693 | + | 43.2284i | 0.230229 | + | 1.63505i | ||||
\(700\) | −2.03299 | − | 1.91547i | −0.0768396 | − | 0.0723980i | ||||
\(701\) | −14.5424 | + | 14.5424i | −0.549258 | + | 0.549258i | −0.926226 | − | 0.376968i | \(-0.876967\pi\) |
0.376968 | + | 0.926226i | \(0.376967\pi\) | |||||||
\(702\) | 34.4451 | + | 7.70095i | 1.30005 | + | 0.290654i | ||||
\(703\) | 12.2231 | 0.461001 | ||||||||
\(704\) | −12.3215 | − | 17.5224i | −0.464382 | − | 0.660399i | ||||
\(705\) | 19.8342 | + | 14.9380i | 0.746998 | + | 0.562596i | ||||
\(706\) | −21.3849 | − | 8.48743i | −0.804830 | − | 0.319429i | ||||
\(707\) | 2.25416 | + | 8.41264i | 0.0847764 | + | 0.316390i | ||||
\(708\) | −4.09875 | − | 23.9288i | −0.154040 | − | 0.899300i | ||||
\(709\) | −8.65273 | + | 32.2924i | −0.324960 | + | 1.21277i | 0.589392 | + | 0.807847i | \(0.299367\pi\) |
−0.914352 | + | 0.404920i | \(0.867299\pi\) | |||||||
\(710\) | 17.6750 | + | 13.1494i | 0.663330 | + | 0.493488i | ||||
\(711\) | −17.3478 | − | 16.7350i | −0.650594 | − | 0.627611i | ||||
\(712\) | 42.3830 | − | 19.8150i | 1.58837 | − | 0.742599i | ||||
\(713\) | 3.61441 | − | 2.08678i | 0.135361 | − | 0.0781505i | ||||
\(714\) | 3.70766 | − | 15.2876i | 0.138756 | − | 0.572125i | ||||
\(715\) | 25.5178 | − | 6.83748i | 0.954313 | − | 0.255707i | ||||
\(716\) | −17.2926 | − | 27.9939i | −0.646254 | − | 1.04618i | ||||
\(717\) | 5.36999 | − | 13.3012i | 0.200546 | − | 0.496744i | ||||
\(718\) | −2.70404 | − | 3.41748i | −0.100914 | − | 0.127539i | ||||
\(719\) | 38.7103 | 1.44365 | 0.721826 | − | 0.692075i | \(-0.243303\pi\) | ||||
0.721826 | + | 0.692075i | \(0.243303\pi\) | |||||||
\(720\) | 24.5758 | − | 1.90810i | 0.915886 | − | 0.0711108i | ||||
\(721\) | −12.6695 | −0.471837 | ||||||||
\(722\) | −24.6514 | − | 31.1555i | −0.917431 | − | 1.15949i | ||||
\(723\) | −13.6548 | − | 17.4678i | −0.507826 | − | 0.649636i | ||||
\(724\) | −26.3203 | + | 16.2588i | −0.978187 | + | 0.604253i | ||||
\(725\) | 5.03373 | − | 1.34878i | 0.186948 | − | 0.0500925i | ||||
\(726\) | 9.00240 | − | 2.64399i | 0.334110 | − | 0.0981277i | ||||
\(727\) | −24.4245 | + | 14.1015i | −0.905853 | + | 0.522994i | −0.879095 | − | 0.476647i | \(-0.841852\pi\) |
−0.0267585 | + | 0.999642i | \(0.508519\pi\) | |||||||
\(728\) | −8.29167 | + | 22.8521i | −0.307310 | + | 0.846953i | ||||
\(729\) | 18.0349 | − | 20.0934i | 0.667958 | − | 0.744199i | ||||
\(730\) | 29.2445 | + | 21.7566i | 1.08239 | + | 0.805249i | ||||
\(731\) | 6.32442 | − | 23.6031i | 0.233917 | − | 0.872990i | ||||
\(732\) | 7.19445 | − | 19.4698i | 0.265914 | − | 0.719625i | ||||
\(733\) | 1.95090 | + | 7.28085i | 0.0720580 | + | 0.268924i | 0.992550 | − | 0.121837i | \(-0.0388785\pi\) |
−0.920492 | + | 0.390761i | \(0.872212\pi\) | |||||||
\(734\) | −3.63402 | − | 1.44230i | −0.134134 | − | 0.0532364i | ||||
\(735\) | 1.64325 | − | 13.4123i | 0.0606123 | − | 0.494722i | ||||
\(736\) | −2.76742 | − | 0.911920i | −0.102008 | − | 0.0336138i | ||||
\(737\) | 4.68989 | 0.172754 | ||||||||
\(738\) | −18.2033 | + | 8.25068i | −0.670073 | + | 0.303712i | ||||
\(739\) | −16.1043 | + | 16.1043i | −0.592407 | + | 0.592407i | −0.938281 | − | 0.345874i | \(-0.887583\pi\) |
0.345874 | + | 0.938281i | \(0.387583\pi\) | |||||||
\(740\) | −5.01808 | + | 5.32594i | −0.184468 | + | 0.195786i | ||||
\(741\) | 52.9383 | + | 21.3723i | 1.94474 | + | 0.785130i | ||||
\(742\) | −17.2927 | + | 7.46616i | −0.634835 | + | 0.274091i | ||||
\(743\) | 5.50307 | + | 3.17720i | 0.201888 | + | 0.116560i | 0.597536 | − | 0.801842i | \(-0.296147\pi\) |
−0.395648 | + | 0.918402i | \(0.629480\pi\) | |||||||
\(744\) | −39.6373 | + | 2.12738i | −1.45317 | + | 0.0779937i | ||||
\(745\) | 9.32837 | − | 5.38574i | 0.341765 | − | 0.197318i | ||||
\(746\) | −19.7680 | + | 26.5715i | −0.723759 | + | 0.972851i | ||||
\(747\) | 24.8372 | − | 0.446590i | 0.908746 | − | 0.0163399i | ||||
\(748\) | −16.9229 | − | 9.11021i | −0.618761 | − | 0.333102i | ||||
\(749\) | −16.3407 | − | 4.37848i | −0.597077 | − | 0.159986i | ||||
\(750\) | −0.694086 | − | 29.0768i | −0.0253444 | − | 1.06174i | ||||
\(751\) | 7.20371 | − | 12.4772i | 0.262867 | − | 0.455299i | −0.704136 | − | 0.710066i | \(-0.748665\pi\) |
0.967003 | + | 0.254767i | \(0.0819986\pi\) | |||||||
\(752\) | 1.66020 | + | 27.8662i | 0.0605414 | + | 1.01618i | ||||
\(753\) | −27.2783 | − | 20.5445i | −0.994077 | − | 0.748682i | ||||
\(754\) | −28.1425 | − | 35.5677i | −1.02489 | − | 1.29530i | ||||
\(755\) | 13.0840 | − | 13.0840i | 0.476176 | − | 0.476176i | ||||
\(756\) | 12.1389 | + | 14.0879i | 0.441488 | + | 0.512373i | ||||
\(757\) | −29.7018 | − | 29.7018i | −1.07953 | − | 1.07953i | −0.996551 | − | 0.0829799i | \(-0.973556\pi\) |
−0.0829799 | − | 0.996551i | \(-0.526444\pi\) | |||||||
\(758\) | 9.34774 | + | 1.08944i | 0.339525 | + | 0.0395704i | ||||
\(759\) | −1.43715 | + | 1.90821i | −0.0521653 | + | 0.0692635i | ||||
\(760\) | 39.7222 | + | 3.43533i | 1.44088 | + | 0.124613i | ||||
\(761\) | −21.6542 | − | 12.5021i | −0.784965 | − | 0.453200i | 0.0532222 | − | 0.998583i | \(-0.483051\pi\) |
−0.838187 | + | 0.545383i | \(0.816384\pi\) | |||||||
\(762\) | 9.66107 | − | 10.1336i | 0.349984 | − | 0.367101i | ||||
\(763\) | 7.62545 | − | 28.4586i | 0.276060 | − | 1.03027i | ||||
\(764\) | 12.8100 | − | 3.84434i | 0.463449 | − | 0.139083i | ||||
\(765\) | 18.9514 | − | 11.4007i | 0.685190 | − | 0.412194i | ||||
\(766\) | −7.53153 | − | 51.2984i | −0.272125 | − | 1.85349i | ||||
\(767\) | 16.8307 | + | 29.1516i | 0.607721 | + | 1.05260i | ||||
\(768\) | 19.5391 | + | 19.6526i | 0.705056 | + | 0.709151i | ||||
\(769\) | −26.1481 | + | 45.2899i | −0.942926 | + | 1.63320i | −0.183076 | + | 0.983099i | \(0.558605\pi\) |
−0.759851 | + | 0.650097i | \(0.774728\pi\) | |||||||
\(770\) | 12.9373 | + | 5.13468i | 0.466227 | + | 0.185041i | ||||
\(771\) | −4.55764 | + | 11.2891i | −0.164140 | + | 0.406567i | ||||
\(772\) | 1.36386 | + | 1.28502i | 0.0490864 | + | 0.0462490i | ||||
\(773\) | 0.679496 | + | 0.679496i | 0.0244398 | + | 0.0244398i | 0.719221 | − | 0.694781i | \(-0.244499\pi\) |
−0.694781 | + | 0.719221i | \(0.744499\pi\) | |||||||
\(774\) | 18.3286 | + | 22.3275i | 0.658806 | + | 0.802544i | ||||
\(775\) | 6.32386i | 0.227160i | ||||||||
\(776\) | −13.4700 | + | 19.2781i | −0.483546 | + | 0.692043i | ||||
\(777\) | −5.47955 | − | 0.671343i | −0.196578 | − | 0.0240843i | ||||
\(778\) | 1.64098 | + | 3.80074i | 0.0588319 | + | 0.136263i | ||||
\(779\) | −31.2252 | + | 8.36677i | −1.11876 | + | 0.299771i | ||||
\(780\) | −31.0459 | + | 14.2925i | −1.11162 | + | 0.511755i | ||||
\(781\) | 19.6134 | + | 5.25540i | 0.701824 | + | 0.188053i | ||||
\(782\) | −2.58659 | + | 0.379758i | −0.0924964 | + | 0.0135801i | ||||
\(783\) | −34.2637 | + | 5.45452i | −1.22448 | + | 0.194929i | ||||
\(784\) | 12.6814 | − | 8.36487i | 0.452908 | − | 0.298745i | ||||
\(785\) | −11.6360 | − | 20.1541i | −0.415306 | − | 0.719331i | ||||
\(786\) | 19.6723 | + | 10.7402i | 0.701687 | + | 0.383090i | ||||
\(787\) | −7.58525 | − | 28.3085i | −0.270385 | − | 1.00909i | −0.958871 | − | 0.283841i | \(-0.908391\pi\) |
0.688487 | − | 0.725249i | \(-0.258275\pi\) | |||||||
\(788\) | −35.6046 | + | 21.9939i | −1.26836 | + | 0.783501i | ||||
\(789\) | −23.9158 | + | 18.6952i | −0.851425 | + | 0.665566i | ||||
\(790\) | 23.1839 | + | 2.70200i | 0.824846 | + | 0.0961327i | ||||
\(791\) | 1.23850i | 0.0440360i | ||||||||
\(792\) | 20.4056 | − | 9.99097i | 0.725081 | − | 0.355014i | ||||
\(793\) | 28.7797i | 1.02200i | ||||||||
\(794\) | 3.08836 | − | 26.4990i | 0.109602 | − | 0.940414i | ||||
\(795\) | −24.5558 | − | 9.91370i | −0.870906 | − | 0.351603i | ||||
\(796\) | −4.61251 | − | 1.08995i | −0.163486 | − | 0.0386321i | ||||
\(797\) | 5.63071 | + | 21.0141i | 0.199450 | + | 0.744357i | 0.991070 | + | 0.133343i | \(0.0425713\pi\) |
−0.791620 | + | 0.611014i | \(0.790762\pi\) | |||||||
\(798\) | 15.6569 | + | 25.6830i | 0.554249 | + | 0.909168i | ||||
\(799\) | 12.5233 | + | 21.6909i | 0.443041 | + | 0.767370i | ||||
\(800\) | 3.29326 | − | 2.94058i | 0.116434 | − | 0.103965i | ||||
\(801\) | 13.7034 | + | 47.6948i | 0.484185 | + | 1.68521i | ||||
\(802\) | 1.99081 | + | 13.5597i | 0.0702979 | + | 0.478810i | ||||
\(803\) | 32.4518 | + | 8.69544i | 1.14520 | + | 0.306855i | ||||
\(804\) | −5.98037 | + | 1.02437i | −0.210911 | + | 0.0361268i | ||||
\(805\) | 1.82883 | − | 0.490035i | 0.0644579 | − | 0.0172714i | ||||
\(806\) | 50.5292 | − | 21.8161i | 1.77982 | − | 0.768439i | ||||
\(807\) | −0.459640 | + | 0.610297i | −0.0161801 | + | 0.0214835i | ||||
\(808\) | −13.5548 | + | 2.40402i | −0.476856 | + | 0.0845731i | ||||
\(809\) | − | 12.5804i | − | 0.442303i | −0.975240 | − | 0.221151i | \(-0.929019\pi\) | ||
0.975240 | − | 0.221151i | \(-0.0709815\pi\) | |||||||
\(810\) | −2.09108 | + | 26.0613i | −0.0734729 | + | 0.915700i | ||||
\(811\) | 30.5378 | + | 30.5378i | 1.07233 | + | 1.07233i | 0.997172 | + | 0.0751549i | \(0.0239451\pi\) |
0.0751549 | + | 0.997172i | \(0.476055\pi\) | |||||||
\(812\) | −0.710898 | − | 23.8857i | −0.0249476 | − | 0.838225i | ||||
\(813\) | 12.8119 | − | 1.80403i | 0.449333 | − | 0.0632701i | ||||
\(814\) | −2.48812 | + | 6.26905i | −0.0872086 | + | 0.219730i | ||||
\(815\) | 17.2953 | − | 29.9564i | 0.605829 | − | 1.04933i | ||||
\(816\) | 23.5692 | + | 7.92068i | 0.825089 | + | 0.277279i | ||||
\(817\) | 23.3620 | + | 40.4641i | 0.817331 | + | 1.41566i | ||||
\(818\) | −10.0075 | + | 1.46929i | −0.349905 | + | 0.0513723i | ||||
\(819\) | −22.5582 | − | 12.4887i | −0.788246 | − | 0.436391i | ||||
\(820\) | 9.17361 | − | 17.0406i | 0.320356 | − | 0.595085i | ||||
\(821\) | −4.88097 | + | 18.2160i | −0.170347 | + | 0.635744i | 0.826951 | + | 0.562275i | \(0.190074\pi\) |
−0.997298 | + | 0.0734689i | \(0.976593\pi\) | |||||||
\(822\) | 0.357000 | − | 1.47200i | 0.0124518 | − | 0.0513419i | ||||
\(823\) | −11.5958 | − | 6.69486i | −0.404206 | − | 0.233368i | 0.284091 | − | 0.958797i | \(-0.408308\pi\) |
−0.688297 | + | 0.725429i | \(0.741641\pi\) | |||||||
\(824\) | 1.72547 | − | 19.9513i | 0.0601095 | − | 0.695037i | ||||
\(825\) | −1.41518 | − | 3.33153i | −0.0492704 | − | 0.115989i | ||||
\(826\) | −2.05309 | + | 17.6161i | −0.0714363 | + | 0.612943i | ||||
\(827\) | −7.23348 | − | 7.23348i | −0.251533 | − | 0.251533i | 0.570066 | − | 0.821599i | \(-0.306918\pi\) |
−0.821599 | + | 0.570066i | \(0.806918\pi\) | |||||||
\(828\) | 1.41581 | − | 2.74717i | 0.0492027 | − | 0.0954709i | ||||
\(829\) | −25.9641 | + | 25.9641i | −0.901769 | + | 0.901769i | −0.995589 | − | 0.0938197i | \(-0.970092\pi\) |
0.0938197 | + | 0.995589i | \(0.470092\pi\) | |||||||
\(830\) | −18.8638 | + | 14.9258i | −0.654774 | + | 0.518082i | ||||
\(831\) | 2.21291 | − | 18.0619i | 0.0767650 | − | 0.626561i | ||||
\(832\) | −34.8571 | − | 16.1695i | −1.20845 | − | 0.560578i | ||||
\(833\) | 6.81519 | − | 11.8043i | 0.236132 | − | 0.408993i | ||||
\(834\) | −22.4307 | + | 41.0852i | −0.776712 | + | 1.42267i | ||||
\(835\) | −18.7737 | − | 5.03040i | −0.649691 | − | 0.174084i | ||||
\(836\) | 35.1986 | − | 10.5633i | 1.21737 | − | 0.365338i | ||||
\(837\) | 4.36787 | − | 41.8750i | 0.150976 | − | 1.44741i | ||||
\(838\) | −21.0742 | − | 15.6783i | −0.727996 | − | 0.541597i | ||||
\(839\) | 41.1955 | − | 23.7842i | 1.42223 | − | 0.821123i | 0.425738 | − | 0.904846i | \(-0.360014\pi\) |
0.996489 | + | 0.0837230i | \(0.0266811\pi\) | |||||||
\(840\) | −17.6186 | − | 3.72176i | −0.607901 | − | 0.128413i | ||||
\(841\) | 13.4955 | + | 7.79166i | 0.465364 | + | 0.268678i | ||||
\(842\) | 1.14331 | + | 2.64808i | 0.0394012 | + | 0.0912588i | ||||
\(843\) | 9.08166 | − | 7.09922i | 0.312789 | − | 0.244510i | ||||
\(844\) | −4.03136 | + | 0.119983i | −0.138765 | + | 0.00412999i | ||||
\(845\) | 14.6264 | − | 14.6264i | 0.503165 | − | 0.503165i | ||||
\(846\) | −29.4668 | − | 2.89834i | −1.01309 | − | 0.0996469i | ||||
\(847\) | −6.85431 | −0.235517 | ||||||||
\(848\) | −9.40225 | − | 28.2485i | −0.322874 | − | 0.970058i | ||||
\(849\) | −17.5547 | + | 7.45698i | −0.602477 | + | 0.255923i | ||||
\(850\) | 1.46130 | − | 3.68189i | 0.0501223 | − | 0.126288i | ||||
\(851\) | 0.237457 | + | 0.886202i | 0.00813992 | + | 0.0303786i | ||||
\(852\) | −26.1582 | − | 2.41750i | −0.896164 | − | 0.0828221i | ||||
\(853\) | 0.0729011 | − | 0.272071i | 0.00249609 | − | 0.00931552i | −0.964667 | − | 0.263474i | \(-0.915132\pi\) |
0.967163 | + | 0.254158i | \(0.0817984\pi\) | |||||||
\(854\) | −9.05086 | + | 12.1659i | −0.309714 | + | 0.416307i | ||||
\(855\) | −10.2091 | + | 41.0383i | −0.349143 | + | 1.40348i | ||||
\(856\) | 9.12048 | − | 25.1363i | 0.311731 | − | 0.859140i | ||||
\(857\) | −24.7820 | + | 14.3079i | −0.846538 | + | 0.488749i | −0.859481 | − | 0.511167i | \(-0.829213\pi\) |
0.0129433 | + | 0.999916i | \(0.495880\pi\) | |||||||
\(858\) | −21.7376 | + | 22.8008i | −0.742111 | + | 0.778407i | ||||
\(859\) | 1.05613 | − | 0.282990i | 0.0360347 | − | 0.00965548i | −0.240757 | − | 0.970586i | \(-0.577396\pi\) |
0.276791 | + | 0.960930i | \(0.410729\pi\) | |||||||
\(860\) | −27.2224 | − | 6.43272i | −0.928278 | − | 0.219354i | ||||
\(861\) | 14.4577 | − | 2.03577i | 0.492716 | − | 0.0693788i | ||||
\(862\) | −21.9814 | + | 17.3925i | −0.748690 | + | 0.592392i | ||||
\(863\) | 30.2887 | 1.03104 | 0.515520 | − | 0.856878i | \(-0.327599\pi\) | ||||
0.515520 | + | 0.856878i | \(0.327599\pi\) | |||||||
\(864\) | −23.8382 | + | 17.1971i | −0.810992 | + | 0.585058i | ||||
\(865\) | −49.1485 | −1.67110 | ||||||||
\(866\) | 26.3222 | − | 20.8271i | 0.894465 | − | 0.707735i | ||||
\(867\) | −7.06611 | + | 0.994970i | −0.239978 | + | 0.0337910i | ||||
\(868\) | 28.2208 | + | 6.66863i | 0.957875 | + | 0.226348i | ||||
\(869\) | 20.7807 | − | 5.56816i | 0.704935 | − | 0.188887i | ||||
\(870\) | 23.1826 | − | 24.3164i | 0.785964 | − | 0.824404i | ||||
\(871\) | 7.28567 | − | 4.20638i | 0.246865 | − | 0.142528i | ||||
\(872\) | 43.7767 | + | 15.8840i | 1.48247 | + | 0.537900i | ||||
\(873\) | −17.9526 | − | 17.3184i | −0.607603 | − | 0.586138i | ||||
\(874\) | 2.98380 | − | 4.01072i | 0.100929 | − | 0.135665i | ||||
\(875\) | −5.49929 | + | 20.5236i | −0.185910 | + | 0.693825i | ||||
\(876\) | −43.2806 | − | 3.99992i | −1.46231 | − | 0.135145i | ||||
\(877\) | 6.25984 | + | 23.3620i | 0.211380 | + | 0.788880i | 0.987410 | + | 0.158184i | \(0.0505639\pi\) |
−0.776030 | + | 0.630696i | \(0.782769\pi\) | |||||||
\(878\) | 11.5029 | − | 28.9826i | 0.388204 | − | 0.978116i | ||||
\(879\) | −4.55394 | + | 1.93444i | −0.153601 | + | 0.0652472i | ||||
\(880\) | −9.84778 | + | 19.6737i | −0.331968 | + | 0.663201i | ||||
\(881\) | −10.3324 | −0.348108 | −0.174054 | − | 0.984736i | \(-0.555687\pi\) | ||||
−0.174054 | + | 0.984736i | \(0.555687\pi\) | |||||||
\(882\) | 6.65198 | + | 14.6761i | 0.223984 | + | 0.494171i | ||||
\(883\) | 13.2455 | − | 13.2455i | 0.445745 | − | 0.445745i | −0.448192 | − | 0.893937i | \(-0.647932\pi\) |
0.893937 | + | 0.448192i | \(0.147932\pi\) | |||||||
\(884\) | −34.4604 | + | 1.02563i | −1.15903 | + | 0.0344955i | ||||
\(885\) | −19.6447 | + | 15.3564i | −0.660349 | + | 0.516201i | ||||
\(886\) | −5.63633 | − | 13.0546i | −0.189356 | − | 0.438576i | ||||
\(887\) | −4.21020 | − | 2.43076i | −0.141365 | − | 0.0816170i | 0.427650 | − | 0.903945i | \(-0.359342\pi\) |
−0.569014 | + | 0.822328i | \(0.692675\pi\) | |||||||
\(888\) | 1.80346 | − | 8.53750i | 0.0605202 | − | 0.286500i | ||||
\(889\) | −8.85782 | + | 5.11406i | −0.297082 | + | 0.171520i | ||||
\(890\) | −38.5539 | − | 28.6824i | −1.29233 | − | 0.961437i | ||||
\(891\) | 7.06991 | + | 23.0380i | 0.236851 | + | 0.771803i | ||||
\(892\) | 21.2634 | − | 6.38126i | 0.711952 | − | 0.213660i | ||||
\(893\) | −46.2601 | − | 12.3953i | −1.54803 | − | 0.414794i | ||||
\(894\) | −6.15499 | + | 11.2738i | −0.205854 | + | 0.377052i | ||||
\(895\) | −16.8975 | + | 29.2674i | −0.564822 | + | 0.978301i | ||||
\(896\) | −9.64977 | − | 17.7974i | −0.322376 | − | 0.594568i | ||||
\(897\) | −0.521112 | + | 4.25335i | −0.0173994 | + | 0.142015i | ||||
\(898\) | 27.3911 | − | 21.6729i | 0.914052 | − | 0.723233i | ||||
\(899\) | −38.2555 | + | 38.2555i | −1.27589 | + | 1.27589i | ||||
\(900\) | 2.53227 | + | 3.93913i | 0.0844089 | + | 0.131304i | ||||
\(901\) | −18.8884 | − | 18.8884i | −0.629264 | − | 0.629264i | ||||
\(902\) | 2.06498 | − | 17.7181i | 0.0687564 | − | 0.589949i | ||||
\(903\) | −8.25062 | − | 19.4230i | −0.274563 | − | 0.646358i | ||||
\(904\) | −1.95033 | − | 0.168672i | −0.0648670 | − | 0.00560994i | ||||
\(905\) | 27.5177 | + | 15.8874i | 0.914720 | + | 0.528114i | ||||
\(906\) | −5.20055 | + | 21.4432i | −0.172777 | + | 0.712401i | ||||
\(907\) | 0.989509 | − | 3.69290i | 0.0328561 | − | 0.122621i | −0.947550 | − | 0.319608i | \(-0.896449\pi\) |
0.980406 | + | 0.196987i | \(0.0631156\pi\) | |||||||
\(908\) | −16.4750 | + | 30.6035i | −0.546742 | + | 1.01561i | ||||
\(909\) | −0.262501 | − | 14.5990i | −0.00870661 | − | 0.484220i | ||||
\(910\) | 24.7032 | − | 3.62687i | 0.818902 | − | 0.120230i | ||||
\(911\) | 24.1877 | + | 41.8944i | 0.801376 | + | 1.38802i | 0.918711 | + | 0.394931i | \(0.129231\pi\) |
−0.117335 | + | 0.993092i | \(0.537435\pi\) | |||||||
\(912\) | −42.5766 | + | 21.1580i | −1.40985 | + | 0.700611i | ||||
\(913\) | −11.0858 | + | 19.2012i | −0.366887 | + | 0.635467i | ||||
\(914\) | 16.3355 | − | 41.1589i | 0.540331 | − | 1.36141i | ||||
\(915\) | −21.1102 | + | 2.97251i | −0.697883 | + | 0.0982681i | ||||
\(916\) | −0.952750 | − | 32.0118i | −0.0314798 | − | 1.05770i | ||||
\(917\) | −11.5778 | − | 11.5778i | −0.382334 | − | 0.382334i | ||||
\(918\) | −12.2194 | + | 23.3712i | −0.403302 | + | 0.771364i | ||||
\(919\) | − | 44.5150i | − | 1.46841i | −0.678926 | − | 0.734206i | \(-0.737554\pi\) | ||
0.678926 | − | 0.734206i | \(-0.262446\pi\) | |||||||
\(920\) | 0.522613 | + | 2.94670i | 0.0172300 | + | 0.0971497i | ||||
\(921\) | −12.0202 | + | 15.9601i | −0.396080 | + | 0.525904i | ||||
\(922\) | −15.9075 | + | 6.86809i | −0.523885 | + | 0.226189i | ||||
\(923\) | 35.1827 | − | 9.42718i | 1.15805 | − | 0.310299i | ||||
\(924\) | −16.3596 | + | 2.80222i | −0.538191 | + | 0.0921862i | ||||
\(925\) | −1.34279 | − | 0.359800i | −0.0441507 | − | 0.0118301i | ||||
\(926\) | 5.22817 | + | 35.6099i | 0.171808 | + | 1.17021i | ||||
\(927\) | 20.6123 | + | 5.12773i | 0.676997 | + | 0.168417i | ||||
\(928\) | 37.7109 | + | 2.13353i | 1.23792 | + | 0.0700364i | ||||
\(929\) | 26.5718 | + | 46.0236i | 0.871791 | + | 1.50999i | 0.860142 | + | 0.510054i | \(0.170375\pi\) |
0.0116490 | + | 0.999932i | \(0.496292\pi\) | |||||||
\(930\) | 21.2213 | + | 34.8105i | 0.695872 | + | 1.14148i | ||||
\(931\) | 6.74558 | + | 25.1748i | 0.221077 | + | 0.825072i | ||||
\(932\) | 49.0572 | + | 11.5923i | 1.60692 | + | 0.379719i | ||||
\(933\) | −15.4562 | − | 6.24000i | −0.506014 | − | 0.204288i | ||||
\(934\) | −1.45507 | + | 12.4849i | −0.0476115 | + | 0.408520i | ||||
\(935\) | 19.7396i | 0.645553i | ||||||||
\(936\) | 22.7388 | − | 33.8227i | 0.743242 | − | 1.10553i | ||||
\(937\) | − | 2.96531i | − | 0.0968724i | −0.998826 | − | 0.0484362i | \(-0.984576\pi\) | ||
0.998826 | − | 0.0484362i | \(-0.0154238\pi\) | |||||||
\(938\) | 4.40268 | + | 0.513116i | 0.143752 | + | 0.0167538i | ||||
\(939\) | −35.0641 | + | 27.4099i | −1.14427 | + | 0.894489i | ||||
\(940\) | 24.3927 | − | 15.0680i | 0.795602 | − | 0.491465i | ||||
\(941\) | 12.2347 | + | 45.6603i | 0.398838 | + | 1.48848i | 0.815143 | + | 0.579260i | \(0.196658\pi\) |
−0.416305 | + | 0.909225i | \(0.636675\pi\) | |||||||
\(942\) | 24.3573 | + | 13.2980i | 0.793602 | + | 0.433271i | ||||
\(943\) | −1.21322 | − | 2.10136i | −0.0395079 | − | 0.0684298i | ||||
\(944\) | −27.4614 | − | 5.63226i | −0.893793 | − | 0.183315i | ||||
\(945\) | 6.83069 | − | 17.8366i | 0.222203 | − | 0.580224i | ||||
\(946\) | −25.5091 | + | 3.74519i | −0.829371 | + | 0.121767i | ||||
\(947\) | −31.0213 | − | 8.31213i | −1.00806 | − | 0.270108i | −0.283239 | − | 0.959049i | \(-0.591409\pi\) |
−0.724817 | + | 0.688942i | \(0.758076\pi\) | |||||||
\(948\) | −25.2825 | + | 11.6392i | −0.821137 | + | 0.378025i | ||||
\(949\) | 58.2123 | − | 15.5979i | 1.88965 | − | 0.506331i | ||||
\(950\) | 3.00239 | + | 6.95396i | 0.0974104 | + | 0.225616i | ||||
\(951\) | 27.7766 | + | 3.40313i | 0.900718 | + | 0.110354i | ||||
\(952\) | −14.8898 | − | 10.4038i | −0.482580 | − | 0.337189i | ||||
\(953\) | 14.4065i | 0.466671i | 0.972396 | + | 0.233336i | \(0.0749641\pi\) | ||||
−0.972396 | + | 0.233336i | \(0.925036\pi\) | |||||||
\(954\) | 31.1557 | − | 5.14801i | 1.00870 | − | 0.166673i | ||||
\(955\) | −9.71317 | − | 9.71317i | −0.314311 | − | 0.314311i | ||||
\(956\) | −12.0553 | − | 11.3585i | −0.389898 | − | 0.367360i | ||||
\(957\) | 11.5927 | − | 28.7147i | 0.374740 | − | 0.928216i | ||||
\(958\) | −4.23727 | − | 1.68173i | −0.136900 | − | 0.0543342i | ||||
\(959\) | −0.553259 | + | 0.958272i | −0.0178656 | + | 0.0309442i | ||||
\(960\) | 8.26034 | − | 27.2381i | 0.266601 | − | 0.879107i | ||||
\(961\) | −17.3258 | − | 30.0092i | −0.558897 | − | 0.968038i | ||||
\(962\) | 1.75748 | + | 11.9705i | 0.0566634 | + | 0.385943i | ||||
\(963\) | 24.8130 | + | 13.7370i | 0.799588 | + | 0.442670i | ||||
\(964\) | −24.5211 | + | 7.35890i | −0.789772 | + | 0.237014i | ||||
\(965\) | 0.498125 | − | 1.85903i | 0.0160352 | − | 0.0598442i | ||||
\(966\) | −1.55791 | + | 1.63411i | −0.0501250 | + | 0.0525766i | ||||
\(967\) | −46.2878 | − | 26.7243i | −1.48852 | − | 0.859395i | −0.488602 | − | 0.872507i | \(-0.662493\pi\) |
−0.999914 | + | 0.0131113i | \(0.995826\pi\) | |||||||
\(968\) | 0.933493 | − | 10.7938i | 0.0300036 | − | 0.346927i | ||||
\(969\) | −25.6630 | + | 34.0746i | −0.824414 | + | 1.09463i | ||||
\(970\) | 23.9921 | + | 2.79619i | 0.770340 | + | 0.0897803i | ||||
\(971\) | −18.6508 | − | 18.6508i | −0.598532 | − | 0.598532i | 0.341389 | − | 0.939922i | \(-0.389102\pi\) |
−0.939922 | + | 0.341389i | \(0.889102\pi\) | |||||||
\(972\) | −14.0473 | − | 27.8330i | −0.450566 | − | 0.892743i | ||||
\(973\) | 24.1801 | − | 24.1801i | 0.775180 | − | 0.775180i | ||||
\(974\) | 9.91176 | + | 12.5269i | 0.317593 | + | 0.401388i | ||||
\(975\) | −5.18653 | − | 3.90620i | −0.166102 | − | 0.125098i | ||||
\(976\) | −17.9256 | − | 15.9097i | −0.573783 | − | 0.509258i | ||||
\(977\) | 1.32572 | − | 2.29622i | 0.0424136 | − | 0.0734624i | −0.844039 | − | 0.536281i | \(-0.819829\pi\) |
0.886453 | + | 0.462819i | \(0.153162\pi\) | |||||||
\(978\) | 0.984339 | + | 41.2362i | 0.0314757 | + | 1.31859i | ||||
\(979\) | −42.7822 | − | 11.4635i | −1.36733 | − | 0.366374i | ||||
\(980\) | −13.7387 | − | 7.39608i | −0.438868 | − | 0.236259i | ||||
\(981\) | −23.9241 | + | 43.2137i | −0.763837 | + | 1.37971i | ||||
\(982\) | −23.8890 | + | 32.1108i | −0.762328 | + | 1.02470i | ||||
\(983\) | 23.4130 | − | 13.5175i | 0.746760 | − | 0.431142i | −0.0777621 | − | 0.996972i | \(-0.524777\pi\) |
0.824522 | + | 0.565830i | \(0.191444\pi\) | |||||||
\(984\) | 1.23683 | + | 23.0445i | 0.0394287 | + | 0.734632i | ||||
\(985\) | 37.2244 | + | 21.4915i | 1.18607 | + | 0.684776i | ||||
\(986\) | 31.1131 | − | 13.4332i | 0.990845 | − | 0.427799i | ||||
\(987\) | 20.0574 | + | 8.09759i | 0.638434 | + | 0.257749i | ||||
\(988\) | 45.2062 | − | 47.9796i | 1.43820 | − | 1.52644i | ||||
\(989\) | −2.47989 | + | 2.47989i | −0.0788560 | + | 0.0788560i | ||||
\(990\) | −18.9698 | − | 13.5898i | −0.602901 | − | 0.431913i | ||||
\(991\) | 5.32341 | 0.169104 | 0.0845519 | − | 0.996419i | \(-0.473054\pi\) | ||||
0.0845519 | + | 0.996419i | \(0.473054\pi\) | |||||||
\(992\) | −14.3448 | + | 43.5325i | −0.455449 | + | 1.38216i | ||||
\(993\) | 4.27599 | − | 34.9010i | 0.135695 | − | 1.10755i | ||||
\(994\) | 17.8373 | + | 7.07944i | 0.565765 | + | 0.224546i | ||||
\(995\) | 1.25989 | + | 4.70199i | 0.0399413 | + | 0.149063i | ||||
\(996\) | 9.94225 | − | 26.9060i | 0.315032 | − | 0.852549i | ||||
\(997\) | 1.57391 | − | 5.87389i | 0.0498461 | − | 0.186028i | −0.936514 | − | 0.350630i | \(-0.885967\pi\) |
0.986360 | + | 0.164602i | \(0.0526340\pi\) | |||||||
\(998\) | −19.8321 | − | 14.7542i | −0.627773 | − | 0.467036i | ||||
\(999\) | 8.64310 | + | 3.30996i | 0.273456 | + | 0.104723i |
(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 | 144.2.x.e.85.15 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.4 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.1 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.17 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.2 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.14 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.10 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.2 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.10 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.5 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.17 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.5 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.4 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.15 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.14 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.1 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.2 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.15 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.15 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.2 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.4 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.17 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.17 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.4 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.1 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.10 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.10 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.1 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.5 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.14 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.14 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.5 | 72 | 36.11 | even | 6 |