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 | 13.2 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.2 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31447 | + | 0.521699i | −0.929470 | + | 0.368897i | ||||
\(3\) | 0.241506 | + | 1.71513i | 0.139433 | + | 0.990231i | ||||
\(4\) | 1.45566 | − | 1.37152i | 0.727830 | − | 0.685758i | ||||
\(5\) | 0.531653 | + | 1.98415i | 0.237762 | + | 0.887341i | 0.976884 | + | 0.213769i | \(0.0685741\pi\) |
−0.739122 | + | 0.673572i | \(0.764759\pi\) | |||||||
\(6\) | −1.21223 | − | 2.12849i | −0.494893 | − | 0.868954i | ||||
\(7\) | 1.54969 | − | 0.894715i | 0.585729 | − | 0.338171i | −0.177678 | − | 0.984089i | \(-0.556859\pi\) |
0.763407 | + | 0.645918i | \(0.223525\pi\) | |||||||
\(8\) | −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 | ||||
\(11\) | 2.58637 | + | 0.693015i | 0.779819 | + | 0.208952i | 0.626705 | − | 0.779257i | \(-0.284403\pi\) |
0.153114 | + | 0.988209i | \(0.451070\pi\) | |||||||
\(12\) | 2.70388 | + | 2.16542i | 0.780543 | + | 0.625102i | ||||
\(13\) | −4.63944 | + | 1.24314i | −1.28675 | + | 0.344784i | −0.836425 | − | 0.548081i | \(-0.815359\pi\) |
−0.450325 | + | 0.892865i | \(0.648692\pi\) | |||||||
\(14\) | −1.57025 | + | 1.98455i | −0.419667 | + | 0.530393i | ||||
\(15\) | −3.27469 | + | 1.39104i | −0.845521 | + | 0.359165i | ||||
\(16\) | 0.237889 | − | 3.99292i | 0.0594722 | − | 0.998230i | ||||
\(17\) | −3.58889 | −0.870434 | −0.435217 | − | 0.900326i | \(-0.643328\pi\) | ||||
−0.435217 | + | 0.900326i | \(0.643328\pi\) | |||||||
\(18\) | 3.35789 | − | 2.59318i | 0.791461 | − | 0.611219i | ||||
\(19\) | 4.85244 | + | 4.85244i | 1.11323 | + | 1.11323i | 0.992712 | + | 0.120514i | \(0.0384543\pi\) |
0.120514 | + | 0.992712i | \(0.461546\pi\) | |||||||
\(20\) | 3.49520 | + | 2.15908i | 0.781551 | + | 0.482786i | ||||
\(21\) | 1.90881 | + | 2.44185i | 0.416537 | + | 0.532855i | ||||
\(22\) | −3.76124 | + | 0.438359i | −0.801900 | + | 0.0934584i | ||||
\(23\) | −0.446082 | − | 0.257545i | −0.0930145 | − | 0.0537019i | 0.452771 | − | 0.891627i | \(-0.350435\pi\) |
−0.545786 | + | 0.837925i | \(0.683769\pi\) | |||||||
\(24\) | −4.68386 | − | 1.43576i | −0.956090 | − | 0.293074i | ||||
\(25\) | 0.675912 | − | 0.390238i | 0.135182 | − | 0.0780476i | ||||
\(26\) | 5.44986 | − | 4.05446i | 1.06881 | − | 0.795145i | ||||
\(27\) | −2.11721 | − | 4.74525i | −0.407457 | − | 0.913225i | ||||
\(28\) | 1.02871 | − | 3.42783i | 0.194408 | − | 0.647799i | ||||
\(29\) | 1.72815 | − | 6.44956i | 0.320910 | − | 1.19765i | −0.597450 | − | 0.801906i | \(-0.703819\pi\) |
0.918360 | − | 0.395746i | \(-0.129514\pi\) | |||||||
\(30\) | 3.57877 | − | 3.53688i | 0.653392 | − | 0.645743i | ||||
\(31\) | 4.05128 | − | 7.01703i | 0.727632 | − | 1.26030i | −0.230249 | − | 0.973132i | \(-0.573954\pi\) |
0.957881 | − | 0.287164i | \(-0.0927125\pi\) | |||||||
\(32\) | 1.77041 | + | 5.37268i | 0.312967 | + | 0.949764i | ||||
\(33\) | −0.563989 | + | 4.60332i | −0.0981779 | + | 0.801336i | ||||
\(34\) | 4.71749 | − | 1.87232i | 0.809042 | − | 0.321101i | ||||
\(35\) | 2.59915 | + | 2.59915i | 0.439337 | + | 0.439337i | ||||
\(36\) | −3.06097 | + | 5.16047i | −0.510162 | + | 0.860078i | ||||
\(37\) | 1.25948 | − | 1.25948i | 0.207057 | − | 0.207057i | −0.595959 | − | 0.803015i | \(-0.703228\pi\) |
0.803015 | + | 0.595959i | \(0.203228\pi\) | |||||||
\(38\) | −8.90990 | − | 3.84687i | −1.44538 | − | 0.624044i | ||||
\(39\) | −3.25259 | − | 7.65703i | −0.520831 | − | 1.22611i | ||||
\(40\) | −5.72073 | − | 1.01460i | −0.904527 | − | 0.160423i | ||||
\(41\) | 4.07959 | + | 2.35535i | 0.637126 | + | 0.367845i | 0.783506 | − | 0.621384i | \(-0.213429\pi\) |
−0.146381 | + | 0.989228i | \(0.546762\pi\) | |||||||
\(42\) | −3.78299 | − | 2.21391i | −0.583728 | − | 0.341613i | ||||
\(43\) | 6.57670 | + | 1.76222i | 1.00294 | + | 0.268736i | 0.722676 | − | 0.691187i | \(-0.242912\pi\) |
0.280262 | + | 0.959924i | \(0.409579\pi\) | |||||||
\(44\) | 4.71535 | − | 2.53845i | 0.710865 | − | 0.382685i | ||||
\(45\) | −3.17667 | − | 5.28058i | −0.473550 | − | 0.787182i | ||||
\(46\) | 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 | \(-0.336647\pi\) | |||||||
\(48\) | 6.90583 | − | 0.556302i | 0.996771 | − | 0.0802952i | ||||
\(49\) | −1.89897 | + | 3.28911i | −0.271281 | + | 0.469873i | ||||
\(50\) | −0.684879 | + | 0.865579i | −0.0968565 | + | 0.122411i | ||||
\(51\) | −0.866737 | − | 6.15542i | −0.121367 | − | 0.861931i | ||||
\(52\) | −5.04847 | + | 8.17265i | −0.700097 | + | 1.13334i | ||||
\(53\) | 5.26302 | − | 5.26302i | 0.722932 | − | 0.722932i | −0.246269 | − | 0.969201i | \(-0.579205\pi\) |
0.969201 | + | 0.246269i | \(0.0792048\pi\) | |||||||
\(54\) | 5.25860 | + | 5.13295i | 0.715605 | + | 0.698505i | ||||
\(55\) | 5.50019i | 0.741646i | ||||||||
\(56\) | 0.436091 | + | 5.04245i | 0.0582751 | + | 0.673826i | ||||
\(57\) | −7.15068 | + | 9.49446i | −0.947131 | + | 1.25757i | ||||
\(58\) | 1.09313 | + | 9.37932i | 0.143534 | + | 1.23157i | ||||
\(59\) | −1.81387 | − | 6.76946i | −0.236146 | − | 0.881308i | −0.977629 | − | 0.210337i | \(-0.932544\pi\) |
0.741483 | − | 0.670972i | \(-0.234123\pi\) | |||||||
\(60\) | −2.85900 | + | 6.51616i | −0.369095 | + | 0.841233i | ||||
\(61\) | −1.55082 | + | 5.78773i | −0.198562 | + | 0.741042i | 0.792754 | + | 0.609541i | \(0.208646\pi\) |
−0.991316 | + | 0.131501i | \(0.958020\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | −1.66020 | − | 6.34516i | −0.204357 | − | 0.781035i | ||||
\(67\) | 1.69184 | − | 0.453328i | 0.206692 | − | 0.0553829i | −0.153988 | − | 0.988073i | \(-0.549212\pi\) |
0.360679 | + | 0.932690i | \(0.382545\pi\) | |||||||
\(68\) | −5.22420 | + | 4.92222i | −0.633528 | + | 0.596907i | ||||
\(69\) | 0.333993 | − | 0.827288i | 0.0402080 | − | 0.0995937i | ||||
\(70\) | −4.77248 | − | 2.06053i | −0.570421 | − | 0.246280i | ||||
\(71\) | 7.58339i | 0.899983i | 0.893033 | + | 0.449992i | \(0.148573\pi\) | ||||
−0.893033 | + | 0.449992i | \(0.851427\pi\) | |||||||
\(72\) | 1.33134 | − | 8.38019i | 0.156900 | − | 0.987614i | ||||
\(73\) | 12.5473i | 1.46855i | 0.678854 | + | 0.734273i | \(0.262477\pi\) | ||||
−0.678854 | + | 0.734273i | \(0.737523\pi\) | |||||||
\(74\) | −0.998475 | + | 2.31261i | −0.116070 | + | 0.268836i | ||||
\(75\) | 0.832546 | + | 1.06503i | 0.0961341 | + | 0.122979i | ||||
\(76\) | 13.7187 | + | 0.408302i | 1.57364 | + | 0.0468355i | ||||
\(77\) | 4.62812 | − | 1.24010i | 0.527423 | − | 0.141323i | ||||
\(78\) | 8.27010 | + | 8.36806i | 0.936404 | + | 0.947496i | ||||
\(79\) | −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 | ||||
\(83\) | −2.14313 | + | 7.99826i | −0.235239 | + | 0.877923i | 0.742802 | + | 0.669511i | \(0.233496\pi\) |
−0.978041 | + | 0.208412i | \(0.933171\pi\) | |||||||
\(84\) | 6.12761 | + | 0.936530i | 0.668578 | + | 0.102184i | ||||
\(85\) | −1.90804 | − | 7.12091i | −0.206956 | − | 0.772371i | ||||
\(86\) | −9.56422 | + | 1.11467i | −1.03134 | + | 0.120198i | ||||
\(87\) | 11.4792 | + | 1.40641i | 1.23070 | + | 0.150783i | ||||
\(88\) | −4.87387 | + | 5.79671i | −0.519557 | + | 0.617931i | ||||
\(89\) | − | 16.5414i | − | 1.75339i | −0.481047 | − | 0.876695i | \(-0.659743\pi\) | ||
0.481047 | − | 0.876695i | \(-0.340257\pi\) | |||||||
\(90\) | 6.93051 | + | 5.28389i | 0.730540 | + | 0.556971i | ||||
\(91\) | −6.07746 | + | 6.07746i | −0.637091 | + | 0.637091i | ||||
\(92\) | −1.00257 | + | 0.236910i | −0.104525 | + | 0.0246996i | ||||
\(93\) | 13.0135 | + | 5.25383i | 1.34944 | + | 0.544797i | ||||
\(94\) | 7.73988 | + | 6.12409i | 0.798308 | + | 0.631651i | ||||
\(95\) | −7.04818 | + | 12.2078i | −0.723128 | + | 1.25249i | ||||
\(96\) | −8.78728 | + | 4.33401i | −0.896848 | + | 0.442338i | ||||
\(97\) | −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 | ||||
\(99\) | −8.03151 | + | 0.144412i | −0.807197 | + | 0.0145140i | ||||
\(100\) | 0.448680 | − | 1.49508i | 0.0448680 | − | 0.149508i | ||||
\(101\) | −4.70129 | − | 1.25971i | −0.467796 | − | 0.125346i | 0.0172183 | − | 0.999852i | \(-0.494519\pi\) |
−0.485014 | + | 0.874506i | \(0.661186\pi\) | |||||||
\(102\) | 4.35058 | + | 7.63893i | 0.430771 | + | 0.756367i | ||||
\(103\) | −6.13162 | − | 3.54009i | −0.604166 | − | 0.348816i | 0.166512 | − | 0.986039i | \(-0.446749\pi\) |
−0.770679 | + | 0.637224i | \(0.780083\pi\) | |||||||
\(104\) | 2.37239 | − | 13.3765i | 0.232632 | − | 1.31167i | ||||
\(105\) | −3.83018 | + | 5.08560i | −0.373787 | + | 0.496303i | ||||
\(106\) | −4.17237 | + | 9.66380i | −0.405256 | + | 0.938631i | ||||
\(107\) | 6.68494 | − | 6.68494i | 0.646258 | − | 0.646258i | −0.305829 | − | 0.952087i | \(-0.598934\pi\) |
0.952087 | + | 0.305829i | \(0.0989335\pi\) | |||||||
\(108\) | −9.59012 | − | 4.00369i | −0.922810 | − | 0.385255i | ||||
\(109\) | −11.6423 | − | 11.6423i | −1.11513 | − | 1.11513i | −0.992445 | − | 0.122687i | \(-0.960849\pi\) |
−0.122687 | − | 0.992445i | \(-0.539151\pi\) | |||||||
\(110\) | −2.86945 | − | 7.22983i | −0.273591 | − | 0.689338i | ||||
\(111\) | 2.46434 | + | 1.85600i | 0.233905 | + | 0.176163i | ||||
\(112\) | −3.20387 | − | 6.40064i | −0.302737 | − | 0.604804i | ||||
\(113\) | 0.346060 | − | 0.599393i | 0.0325545 | − | 0.0563861i | −0.849289 | − | 0.527928i | \(-0.822969\pi\) |
0.881844 | + | 0.471542i | \(0.156302\pi\) | |||||||
\(114\) | 4.44609 | − | 16.2107i | 0.416415 | − | 1.51827i | ||||
\(115\) | 0.273849 | − | 1.02202i | 0.0255366 | − | 0.0953039i | ||||
\(116\) | −6.33007 | − | 11.7586i | −0.587732 | − | 1.09175i | ||||
\(117\) | 12.3473 | − | 7.42784i | 1.14151 | − | 0.686704i | ||||
\(118\) | 5.91590 | + | 7.95195i | 0.544603 | + | 0.732036i | ||||
\(119\) | −5.56168 | + | 3.21104i | −0.509838 | + | 0.294355i | ||||
\(120\) | 0.358589 | − | 10.0568i | 0.0327345 | − | 0.918059i | ||||
\(121\) | −3.31726 | − | 1.91522i | −0.301569 | − | 0.174111i | ||||
\(122\) | −0.980952 | − | 8.41685i | −0.0888113 | − | 0.762026i | ||||
\(123\) | −3.05450 | + | 7.56587i | −0.275415 | + | 0.682192i | ||||
\(124\) | −3.72668 | − | 15.7708i | −0.334666 | − | 1.41626i | ||||
\(125\) | 8.39615 | + | 8.39615i | 0.750975 | + | 0.750975i | ||||
\(126\) | 2.88353 | − | 7.02299i | 0.256885 | − | 0.625658i | ||||
\(127\) | 5.71585 | 0.507200 | 0.253600 | − | 0.967309i | \(-0.418385\pi\) | ||||
0.253600 | + | 0.967309i | \(0.418385\pi\) | |||||||
\(128\) | 9.94582 | + | 5.39265i | 0.879095 | + | 0.476647i | ||||
\(129\) | −1.43413 | + | 11.7055i | −0.126268 | + | 1.03061i | ||||
\(130\) | 10.9421 | + | 8.65781i | 0.959686 | + | 0.759340i | ||||
\(131\) | −8.83835 | + | 2.36823i | −0.772210 | + | 0.206913i | −0.623348 | − | 0.781945i | \(-0.714228\pi\) |
−0.148863 | + | 0.988858i | \(0.547561\pi\) | |||||||
\(132\) | 5.49255 | + | 7.47439i | 0.478065 | + | 0.650562i | ||||
\(133\) | 11.8613 | + | 3.17824i | 1.02851 | + | 0.275588i | ||||
\(134\) | −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 | −0.522702 | − | 0.852516i | \(-0.675076\pi\) |
0.476949 | + | 0.878931i | \(0.341743\pi\) | |||||||
\(138\) | −0.00742822 | + | 1.26169i | −0.000632332 | + | 0.107402i | ||||
\(139\) | 4.94601 | + | 18.4588i | 0.419515 | + | 1.56565i | 0.775616 | + | 0.631205i | \(0.217439\pi\) |
−0.356101 | + | 0.934447i | \(0.615894\pi\) | |||||||
\(140\) | 7.34826 | + | 0.218702i | 0.621041 | + | 0.0184837i | ||||
\(141\) | 9.52338 | − | 7.44451i | 0.802013 | − | 0.626941i | ||||
\(142\) | −3.95625 | − | 9.96814i | −0.332001 | − | 0.836508i | ||||
\(143\) | −12.8608 | −1.07547 | ||||||||
\(144\) | 2.62193 | + | 11.7101i | 0.218494 | + | 0.975838i | ||||
\(145\) | 13.7157 | 1.13903 | ||||||||
\(146\) | −6.54590 | − | 16.4930i | −0.541743 | − | 1.36497i | ||||
\(147\) | −6.09987 | − | 2.46264i | −0.503109 | − | 0.203115i | ||||
\(148\) | 0.105977 | − | 3.56076i | 0.00871125 | − | 0.292693i | ||||
\(149\) | 1.35719 | + | 5.06509i | 0.111185 | + | 0.414948i | 0.998973 | − | 0.0453039i | \(-0.0144256\pi\) |
−0.887788 | + | 0.460252i | \(0.847759\pi\) | |||||||
\(150\) | −1.64998 | − | 0.965615i | −0.134721 | − | 0.0788421i | ||||
\(151\) | 7.80108 | − | 4.50395i | 0.634843 | − | 0.366527i | −0.147782 | − | 0.989020i | \(-0.547214\pi\) |
0.782625 | + | 0.622493i | \(0.213880\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | 16.0767 | + | 4.30775i | 1.29132 | + | 0.346007i | ||||
\(156\) | −15.2364 | − | 6.68505i | −1.21989 | − | 0.535232i | ||||
\(157\) | −10.9432 | + | 2.93223i | −0.873364 | + | 0.234017i | −0.667542 | − | 0.744572i | \(-0.732653\pi\) |
−0.205822 | + | 0.978589i | \(0.565987\pi\) | |||||||
\(158\) | 8.91079 | + | 7.05056i | 0.708905 | + | 0.560912i | ||||
\(159\) | 10.2978 | + | 7.75573i | 0.816671 | + | 0.615069i | ||||
\(160\) | −9.71898 | + | 6.36916i | −0.768353 | + | 0.503526i | ||||
\(161\) | −0.921720 | −0.0726417 | ||||||||
\(162\) | −7.53369 | + | 10.2588i | −0.591903 | + | 0.806009i | ||||
\(163\) | −11.9073 | − | 11.9073i | −0.932649 | − | 0.932649i | 0.0652222 | − | 0.997871i | \(-0.479224\pi\) |
−0.997871 | + | 0.0652222i | \(0.979224\pi\) | |||||||
\(164\) | 9.16891 | − | 2.16663i | 0.715971 | − | 0.169186i | ||||
\(165\) | −9.43355 | + | 1.32833i | −0.734401 | + | 0.103410i | ||||
\(166\) | −1.35561 | − | 11.6315i | −0.105216 | − | 0.902782i | ||||
\(167\) | −8.19418 | − | 4.73091i | −0.634085 | − | 0.366089i | 0.148248 | − | 0.988950i | \(-0.452637\pi\) |
−0.782332 | + | 0.622861i | \(0.785970\pi\) | |||||||
\(168\) | −8.54315 | + | 1.96573i | −0.659118 | + | 0.151660i | ||||
\(169\) | 8.72072 | − | 5.03491i | 0.670825 | − | 0.387301i | ||||
\(170\) | 6.22304 | + | 8.36480i | 0.477285 | + | 0.641551i | ||||
\(171\) | −18.0112 | − | 9.97139i | −1.37735 | − | 0.762531i | ||||
\(172\) | 11.9903 | − | 6.45485i | 0.914255 | − | 0.492178i | ||||
\(173\) | −6.19263 | + | 23.1112i | −0.470817 | + | 1.75711i | 0.166030 | + | 0.986121i | \(0.446905\pi\) |
−0.636846 | + | 0.770991i | \(0.719761\pi\) | |||||||
\(174\) | −15.8228 | + | 4.14001i | −1.19952 | + | 0.313853i | ||||
\(175\) | 0.698304 | − | 1.20950i | 0.0527868 | − | 0.0914295i | ||||
\(176\) | 3.38242 | − | 10.1623i | 0.254959 | − | 0.766011i | ||||
\(177\) | 11.1724 | − | 4.74589i | 0.839773 | − | 0.356723i | ||||
\(178\) | 8.62966 | + | 21.7432i | 0.646820 | + | 1.62972i | ||||
\(179\) | 11.6334 | + | 11.6334i | 0.869521 | + | 0.869521i | 0.992419 | − | 0.122898i | \(-0.0392188\pi\) |
−0.122898 | + | 0.992419i | \(0.539219\pi\) | |||||||
\(180\) | −11.8665 | − | 3.32987i | −0.884480 | − | 0.248194i | ||||
\(181\) | −10.9379 | + | 10.9379i | −0.813010 | + | 0.813010i | −0.985084 | − | 0.172074i | \(-0.944953\pi\) |
0.172074 | + | 0.985084i | \(0.444953\pi\) | |||||||
\(182\) | 4.81803 | − | 11.1592i | 0.357136 | − | 0.827178i | ||||
\(183\) | −10.3012 | − | 1.26209i | −0.761490 | − | 0.0932961i | ||||
\(184\) | 1.19425 | − | 0.834451i | 0.0880415 | − | 0.0615166i | ||||
\(185\) | 3.16860 | + | 1.82939i | 0.232960 | + | 0.134500i | ||||
\(186\) | −19.8468 | − | 0.116849i | −1.45524 | − | 0.00856775i | ||||
\(187\) | −9.28218 | − | 2.48715i | −0.678780 | − | 0.181879i | ||||
\(188\) | −13.3688 | − | 4.01203i | −0.975018 | − | 0.292608i | ||||
\(189\) | −7.52667 | − | 5.45939i | −0.547485 | − | 0.397112i | ||||
\(190\) | 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 | \(0.755551\pi\) | |||||||
\(192\) | 9.28956 | − | 10.2812i | 0.670417 | − | 0.741985i | ||||
\(193\) | −0.468469 | + | 0.811411i | −0.0337211 | + | 0.0584067i | −0.882393 | − | 0.470512i | \(-0.844069\pi\) |
0.848672 | + | 0.528919i | \(0.177402\pi\) | |||||||
\(194\) | 9.22143 | + | 7.29634i | 0.662060 | + | 0.523847i | ||||
\(195\) | 13.4635 | − | 10.5245i | 0.964140 | − | 0.753677i | ||||
\(196\) | 1.74682 | + | 7.39229i | 0.124773 | + | 0.528021i | ||||
\(197\) | −14.7962 | + | 14.7962i | −1.05419 | + | 1.05419i | −0.0557400 | + | 0.998445i | \(0.517752\pi\) |
−0.998445 | + | 0.0557400i | \(0.982248\pi\) | |||||||
\(198\) | 10.4818 | − | 4.37986i | 0.744911 | − | 0.311263i | ||||
\(199\) | 2.36977i | 0.167988i | 0.996466 | + | 0.0839942i | \(0.0267677\pi\) | ||||
−0.996466 | + | 0.0839942i | \(0.973232\pi\) | |||||||
\(200\) | 0.190205 | + | 2.19931i | 0.0134495 | + | 0.155515i | ||||
\(201\) | 1.18611 | + | 2.79225i | 0.0836616 | + | 0.196950i | ||||
\(202\) | 6.83689 | − | 0.796814i | 0.481042 | − | 0.0560637i | ||||
\(203\) | −3.09241 | − | 11.5410i | −0.217045 | − | 0.810022i | ||||
\(204\) | −9.70393 | − | 7.77145i | −0.679411 | − | 0.544110i | ||||
\(205\) | −2.50446 | + | 9.34678i | −0.174919 | + | 0.652807i | ||||
\(206\) | 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 | ||||
\(210\) | 2.38150 | − | 8.68306i | 0.164339 | − | 0.599188i | ||||
\(211\) | 1.94786 | − | 0.521927i | 0.134096 | − | 0.0359309i | −0.191147 | − | 0.981561i | \(-0.561221\pi\) |
0.325243 | + | 0.945631i | \(0.394554\pi\) | |||||||
\(212\) | 0.442850 | − | 14.8795i | 0.0304151 | − | 1.02193i | ||||
\(213\) | −13.0065 | + | 1.83143i | −0.891192 | + | 0.125488i | ||||
\(214\) | −5.29962 | + | 12.2747i | −0.362275 | + | 0.839080i | ||||
\(215\) | 13.9861i | 0.953842i | ||||||||
\(216\) | 14.6946 | + | 0.259569i | 0.999844 | + | 0.0176614i | ||||
\(217\) | − | 14.4990i | − | 0.984255i | ||||||
\(218\) | 21.3773 | + | 9.22968i | 1.44785 | + | 0.625113i | ||||
\(219\) | −21.5202 | + | 3.03023i | −1.45420 | + | 0.204764i | ||||
\(220\) | 7.54360 | + | 8.00641i | 0.508589 | + | 0.539792i | ||||
\(221\) | 16.6505 | − | 4.46148i | 1.12003 | − | 0.300111i | ||||
\(222\) | −4.20757 | − | 1.15401i | −0.282393 | − | 0.0774519i | ||||
\(223\) | 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 | ||||
\(227\) | 4.49779 | − | 16.7860i | 0.298529 | − | 1.11412i | −0.639845 | − | 0.768504i | \(-0.721002\pi\) |
0.938374 | − | 0.345621i | \(-0.112332\pi\) | |||||||
\(228\) | 2.61285 | + | 23.6280i | 0.173040 | + | 1.56480i | ||||
\(229\) | −4.14447 | − | 15.4674i | −0.273874 | − | 1.02211i | −0.956592 | − | 0.291430i | \(-0.905869\pi\) |
0.682718 | − | 0.730682i | \(-0.260798\pi\) | |||||||
\(230\) | 0.173221 | + | 1.48628i | 0.0114218 | + | 0.0980025i | ||||
\(231\) | 3.24465 | + | 7.63835i | 0.213483 | + | 0.502566i | ||||
\(232\) | 14.4551 | + | 12.1539i | 0.949024 | + | 0.797940i | ||||
\(233\) | − | 25.2041i | − | 1.65118i | −0.564273 | − | 0.825588i | \(-0.690844\pi\) | ||
0.564273 | − | 0.825588i | \(-0.309156\pi\) | |||||||
\(234\) | −12.3550 | + | 16.2052i | −0.807674 | + | 1.05937i | ||||
\(235\) | 10.1369 | − | 10.1369i | 0.661257 | − | 0.661257i | ||||
\(236\) | −11.9248 | − | 7.36627i | −0.776238 | − | 0.479504i | ||||
\(237\) | 10.9641 | − | 8.57073i | 0.712195 | − | 0.556729i | ||||
\(238\) | 5.63546 | − | 7.12233i | 0.365292 | − | 0.461672i | ||||
\(239\) | 4.14085 | − | 7.17217i | 0.267850 | − | 0.463929i | −0.700457 | − | 0.713695i | \(-0.747020\pi\) |
0.968306 | + | 0.249766i | \(0.0803537\pi\) | |||||||
\(240\) | 4.77529 | + | 13.4065i | 0.308244 | + | 0.865385i | ||||
\(241\) | −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 | ||||
\(243\) | 10.0357 | + | 11.9283i | 0.643793 | + | 0.765199i | ||||
\(244\) | 5.68050 | + | 10.5519i | 0.363657 | + | 0.675518i | ||||
\(245\) | −7.53570 | − | 2.01918i | −0.481438 | − | 0.129001i | ||||
\(246\) | 0.0679340 | − | 11.5386i | 0.00433131 | − | 0.735677i | ||||
\(247\) | −28.5449 | − | 16.4804i | −1.81627 | − | 1.04862i | ||||
\(248\) | 13.1262 | + | 18.7860i | 0.833516 | + | 1.19291i | ||||
\(249\) | −14.2356 | − | 1.74412i | −0.902147 | − | 0.110529i | ||||
\(250\) | −15.4168 | − | 6.65622i | −0.975041 | − | 0.420976i | ||||
\(251\) | −13.9414 | + | 13.9414i | −0.879976 | + | 0.879976i | −0.993532 | − | 0.113556i | \(-0.963776\pi\) |
0.113556 | + | 0.993532i | \(0.463776\pi\) | |||||||
\(252\) | −0.126419 | + | 10.7358i | −0.00796367 | + | 0.676294i | ||||
\(253\) | −0.975248 | − | 0.975248i | −0.0613133 | − | 0.0613133i | ||||
\(254\) | −7.51332 | + | 2.98196i | −0.471427 | + | 0.187105i | ||||
\(255\) | 11.7525 | − | 4.99228i | 0.735970 | − | 0.312629i | ||||
\(256\) | −15.8868 | − | 1.89974i | −0.992926 | − | 0.118734i | ||||
\(257\) | −3.51445 | + | 6.08720i | −0.219225 | + | 0.379709i | −0.954571 | − | 0.297983i | \(-0.903686\pi\) |
0.735346 | + | 0.677692i | \(0.237020\pi\) | |||||||
\(258\) | −4.22162 | − | 16.1347i | −0.262827 | − | 1.00450i | ||||
\(259\) | 0.824928 | − | 3.07867i | 0.0512585 | − | 0.191299i | ||||
\(260\) | −18.8998 | − | 5.67193i | −1.17212 | − | 0.351758i | ||||
\(261\) | 0.360117 | + | 20.0280i | 0.0222907 | + | 1.23970i | ||||
\(262\) | 10.3822 | − | 7.72393i | 0.641417 | − | 0.477186i | ||||
\(263\) | 15.1779 | − | 8.76296i | 0.935909 | − | 0.540348i | 0.0472338 | − | 0.998884i | \(-0.484959\pi\) |
0.888676 | + | 0.458536i | \(0.151626\pi\) | |||||||
\(264\) | −11.1192 | − | 6.95940i | −0.684338 | − | 0.428321i | ||||
\(265\) | 13.2408 | + | 7.64455i | 0.813373 | + | 0.469601i | ||||
\(266\) | −17.2495 | + | 2.01036i | −1.05763 | + | 0.123263i | ||||
\(267\) | 28.3707 | − | 3.99485i | 1.73626 | − | 0.244481i | ||||
\(268\) | 1.84100 | − | 2.98028i | 0.112457 | − | 0.182050i | ||||
\(269\) | −0.311911 | − | 0.311911i | −0.0190176 | − | 0.0190176i | 0.697534 | − | 0.716552i | \(-0.254281\pi\) |
−0.716552 | + | 0.697534i | \(0.754281\pi\) | |||||||
\(270\) | −7.38881 | + | 13.1628i | −0.449669 | + | 0.801064i | ||||
\(271\) | 7.46993 | 0.453766 | 0.226883 | − | 0.973922i | \(-0.427147\pi\) | ||||
0.226883 | + | 0.973922i | \(0.427147\pi\) | |||||||
\(272\) | −0.853757 | + | 14.3302i | −0.0517666 | + | 0.868893i | ||||
\(273\) | −11.8914 | − | 8.95590i | −0.719699 | − | 0.542036i | ||||
\(274\) | 0.542622 | − | 0.685789i | 0.0327810 | − | 0.0414300i | ||||
\(275\) | 2.01860 | − | 0.540881i | 0.121726 | − | 0.0326164i | ||||
\(276\) | −0.648458 | − | 1.66233i | −0.0390326 | − | 0.100060i | ||||
\(277\) | −10.1481 | − | 2.71916i | −0.609737 | − | 0.163379i | −0.0592792 | − | 0.998241i | \(-0.518880\pi\) |
−0.550458 | + | 0.834863i | \(0.685547\pi\) | |||||||
\(278\) | −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 | −0.661963 | − | 0.749537i | \(-0.730276\pi\) |
0.318136 | + | 0.948045i | \(0.396943\pi\) | |||||||
\(282\) | −8.63439 | + | 14.7539i | −0.514170 | + | 0.878583i | ||||
\(283\) | 2.85005 | + | 10.6365i | 0.169418 | + | 0.632275i | 0.997435 | + | 0.0715734i | \(0.0228020\pi\) |
−0.828018 | + | 0.560702i | \(0.810531\pi\) | |||||||
\(284\) | 10.4007 | + | 11.0388i | 0.617171 | + | 0.655034i | ||||
\(285\) | −22.6402 | − | 9.14030i | −1.34109 | − | 0.541424i | ||||
\(286\) | 16.9051 | − | 6.70948i | 0.999622 | − | 0.396740i | ||||
\(287\) | 8.42949 | 0.497577 | ||||||||
\(288\) | −9.55557 | − | 14.0247i | −0.563068 | − | 0.826411i | ||||
\(289\) | −4.11987 | −0.242345 | ||||||||
\(290\) | −18.0289 | + | 7.15547i | −1.05869 | + | 0.420184i | ||||
\(291\) | 11.3463 | − | 8.86951i | 0.665133 | − | 0.519940i | ||||
\(292\) | 17.2088 | + | 18.2645i | 1.00707 | + | 1.06885i | ||||
\(293\) | 0.739342 | + | 2.75926i | 0.0431928 | + | 0.161198i | 0.984154 | − | 0.177318i | \(-0.0567420\pi\) |
−0.940961 | + | 0.338515i | \(0.890075\pi\) | |||||||
\(294\) | 9.30285 | + | 0.0547707i | 0.542553 | + | 0.00319429i | ||||
\(295\) | 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 | ||||
\(299\) | 2.38974 | + | 0.640328i | 0.138202 | + | 0.0370311i | ||||
\(300\) | 2.67261 | + | 0.408476i | 0.154303 | + | 0.0235834i | ||||
\(301\) | 11.7685 | − | 3.15337i | 0.678328 | − | 0.181757i | ||||
\(302\) | −7.90457 | + | 9.99013i | −0.454857 | + | 0.574867i | ||||
\(303\) | 1.02518 | − | 8.36756i | 0.0588948 | − | 0.480704i | ||||
\(304\) | 20.5297 | − | 18.2211i | 1.17746 | − | 1.04505i | ||||
\(305\) | −12.3082 | −0.704768 | ||||||||
\(306\) | −12.0511 | + | 9.30665i | −0.688915 | + | 0.532026i | ||||
\(307\) | −8.15691 | − | 8.15691i | −0.465540 | − | 0.465540i | 0.434926 | − | 0.900466i | \(-0.356774\pi\) |
−0.900466 | + | 0.434926i | \(0.856774\pi\) | |||||||
\(308\) | 5.03615 | − | 8.15271i | 0.286961 | − | 0.464544i | ||||
\(309\) | 4.59090 | − | 11.3715i | 0.261167 | − | 0.646901i | ||||
\(310\) | −23.3797 | + | 2.72482i | −1.32788 | + | 0.154760i | ||||
\(311\) | 8.33416 | + | 4.81173i | 0.472587 | + | 0.272848i | 0.717322 | − | 0.696742i | \(-0.245368\pi\) |
−0.244735 | + | 0.969590i | \(0.578701\pi\) | |||||||
\(312\) | 23.5154 | + | 0.838469i | 1.33130 | + | 0.0474690i | ||||
\(313\) | 22.2531 | − | 12.8478i | 1.25782 | − | 0.726202i | 0.285168 | − | 0.958477i | \(-0.407951\pi\) |
0.972650 | + | 0.232276i | \(0.0746172\pi\) | |||||||
\(314\) | 12.8548 | − | 9.56339i | 0.725437 | − | 0.539693i | ||||
\(315\) | −9.64747 | − | 5.34106i | −0.543573 | − | 0.300934i | ||||
\(316\) | −15.3912 | − | 4.61899i | −0.865825 | − | 0.259838i | ||||
\(317\) | −4.18167 | + | 15.6062i | −0.234866 | + | 0.876532i | 0.743343 | + | 0.668910i | \(0.233239\pi\) |
−0.978209 | + | 0.207622i | \(0.933428\pi\) | |||||||
\(318\) | −17.5823 | − | 4.82230i | −0.985968 | − | 0.270421i | ||||
\(319\) | 8.93928 | − | 15.4833i | 0.500503 | − | 0.866897i | ||||
\(320\) | 9.45252 | − | 13.4424i | 0.528412 | − | 0.751456i | ||||
\(321\) | 13.0800 | + | 9.85110i | 0.730055 | + | 0.549835i | ||||
\(322\) | 1.21157 | − | 0.480861i | 0.0675183 | − | 0.0267973i | ||||
\(323\) | −17.4149 | − | 17.4149i | −0.968989 | − | 0.968989i | ||||
\(324\) | 4.55079 | − | 17.4152i | 0.252822 | − | 0.967513i | ||||
\(325\) | −2.65074 | + | 2.65074i | −0.147036 | + | 0.147036i | ||||
\(326\) | 21.8637 | + | 9.43972i | 1.21092 | + | 0.522818i | ||||
\(327\) | 17.1564 | − | 22.7798i | 0.948752 | − | 1.25973i | ||||
\(328\) | −10.9219 | + | 7.63139i | −0.603062 | + | 0.421373i | ||||
\(329\) | −10.8152 | − | 6.24413i | −0.596259 | − | 0.344250i | ||||
\(330\) | 11.7071 | − | 6.66752i | 0.644456 | − | 0.367035i | ||||
\(331\) | −19.6090 | − | 5.25422i | −1.07781 | − | 0.288798i | −0.324111 | − | 0.946019i | \(-0.605065\pi\) |
−0.753698 | + | 0.657221i | \(0.771732\pi\) | |||||||
\(332\) | 7.85007 | + | 14.5821i | 0.430829 | + | 0.800295i | ||||
\(333\) | −2.58813 | + | 4.67489i | −0.141828 | + | 0.256183i | ||||
\(334\) | 13.2391 | + | 1.94374i | 0.724412 | + | 0.106357i | ||||
\(335\) | 1.79895 | + | 3.11587i | 0.0982870 | + | 0.170238i | ||||
\(336\) | 10.2042 | − | 7.04085i | 0.556684 | − | 0.384110i | ||||
\(337\) | 1.04249 | − | 1.80564i | 0.0567879 | − | 0.0983595i | −0.836234 | − | 0.548373i | \(-0.815247\pi\) |
0.893022 | + | 0.450013i | \(0.148581\pi\) | |||||||
\(338\) | −8.83641 | + | 11.1678i | −0.480637 | + | 0.607450i | ||||
\(339\) | 1.11161 | + | 0.448781i | 0.0603745 | + | 0.0243744i | ||||
\(340\) | −12.5439 | − | 7.74871i | −0.680289 | − | 0.420233i | ||||
\(341\) | 15.3410 | − | 15.3410i | 0.830762 | − | 0.830762i | ||||
\(342\) | 28.8772 | + | 3.71067i | 1.56150 | + | 0.200650i | ||||
\(343\) | 19.3222i | 1.04330i | ||||||||
\(344\) | −12.3935 | + | 14.7401i | −0.668210 | + | 0.794731i | ||||
\(345\) | 1.81903 | + | 0.222864i | 0.0979335 | + | 0.0119986i | ||||
\(346\) | −3.91708 | − | 33.6096i | −0.210583 | − | 1.80687i | ||||
\(347\) | −2.18722 | − | 8.16281i | −0.117416 | − | 0.438203i | 0.882040 | − | 0.471174i | \(-0.156170\pi\) |
−0.999456 | + | 0.0329715i | \(0.989503\pi\) | |||||||
\(348\) | 18.6387 | − | 13.6967i | 0.999140 | − | 0.734218i | ||||
\(349\) | 0.403839 | − | 1.50715i | 0.0216170 | − | 0.0806758i | −0.954275 | − | 0.298931i | \(-0.903370\pi\) |
0.975892 | + | 0.218255i | \(0.0700366\pi\) | |||||||
\(350\) | −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 | \(0.975861\pi\) | |||||||
\(354\) | −12.2099 | + | 12.0670i | −0.648950 | + | 0.641353i | ||||
\(355\) | −15.0466 | + | 4.03173i | −0.798592 | + | 0.213982i | ||||
\(356\) | −22.6869 | − | 24.0787i | −1.20240 | − | 1.27617i | ||||
\(357\) | −6.85052 | − | 8.76352i | −0.362568 | − | 0.463815i | ||||
\(358\) | −21.3609 | − | 9.22261i | −1.12896 | − | 0.487430i | ||||
\(359\) | 3.08148i | 0.162634i | 0.996688 | + | 0.0813172i | \(0.0259127\pi\) | ||||
−0.996688 | + | 0.0813172i | \(0.974087\pi\) | |||||||
\(360\) | 17.3354 | − | 1.81375i | 0.913656 | − | 0.0955933i | ||||
\(361\) | 28.0923i | 1.47854i | ||||||||
\(362\) | 8.67126 | − | 20.0839i | 0.455751 | − | 1.05559i | ||||
\(363\) | 2.48372 | − | 6.15208i | 0.130362 | − | 0.322900i | ||||
\(364\) | −0.511380 | + | 17.1820i | −0.0268036 | + | 0.900584i | ||||
\(365\) | −24.8957 | + | 6.67079i | −1.30310 | + | 0.349165i | ||||
\(366\) | 14.1991 | − | 3.71518i | 0.742199 | − | 0.194195i | ||||
\(367\) | −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 | ||||
\(371\) | 3.44716 | − | 12.8650i | 0.178968 | − | 0.667916i | ||||
\(372\) | 26.1490 | − | 10.2005i | 1.35576 | − | 0.528870i | ||||
\(373\) | 6.06106 | + | 22.6202i | 0.313830 | + | 1.17123i | 0.925074 | + | 0.379787i | \(0.124003\pi\) |
−0.611244 | + | 0.791442i | \(0.709331\pi\) | |||||||
\(374\) | 13.4987 | − | 1.57322i | 0.698001 | − | 0.0813494i | ||||
\(375\) | −12.3728 | + | 16.4282i | −0.638928 | + | 0.848350i | ||||
\(376\) | 19.6659 | − | 1.70078i | 1.01419 | − | 0.0877112i | ||||
\(377\) | 32.0707i | 1.65172i | ||||||||
\(378\) | 12.7417 | + | 3.24954i | 0.655364 | + | 0.167138i | ||||
\(379\) | 4.70551 | − | 4.70551i | 0.241706 | − | 0.241706i | −0.575850 | − | 0.817555i | \(-0.695329\pi\) |
0.817555 | + | 0.575850i | \(0.195329\pi\) | |||||||
\(380\) | 6.48345 | + | 27.4371i | 0.332594 | + | 1.40749i | ||||
\(381\) | 1.38041 | + | 9.80344i | 0.0707206 | + | 0.502245i | ||||
\(382\) | −7.41637 | − | 5.86811i | −0.379455 | − | 0.300239i | ||||
\(383\) | 18.3311 | − | 31.7505i | 0.936678 | − | 1.62237i | 0.165063 | − | 0.986283i | \(-0.447217\pi\) |
0.771614 | − | 0.636091i | \(-0.219450\pi\) | |||||||
\(384\) | −6.84713 | + | 18.3607i | −0.349416 | + | 0.936968i | ||||
\(385\) | 4.92111 | + | 8.52361i | 0.250803 | + | 0.434403i | ||||
\(386\) | 0.192475 | − | 1.31098i | 0.00979671 | − | 0.0667269i | ||||
\(387\) | −20.4228 | + | 0.367216i | −1.03815 | + | 0.0186666i | ||||
\(388\) | −15.9278 | − | 4.78001i | −0.808611 | − | 0.242668i | ||||
\(389\) | 2.82758 | + | 0.757647i | 0.143364 | + | 0.0384142i | 0.329787 | − | 0.944055i | \(-0.393023\pi\) |
−0.186423 | + | 0.982469i | \(0.559690\pi\) | |||||||
\(390\) | −12.2067 | + | 20.8581i | −0.618110 | + | 1.05619i | ||||
\(391\) | 1.60094 | + | 0.924302i | 0.0809630 | + | 0.0467440i | ||||
\(392\) | −6.15269 | − | 8.80563i | −0.310758 | − | 0.444751i | ||||
\(393\) | −6.19634 | − | 14.5870i | −0.312564 | − | 0.735817i | ||||
\(394\) | 11.7300 | − | 27.1683i | 0.590948 | − | 1.36872i | ||||
\(395\) | 11.6704 | − | 11.6704i | 0.587202 | − | 0.587202i | ||||
\(396\) | −11.4931 | + | 11.2256i | −0.577549 | + | 0.564105i | ||||
\(397\) | 13.3392 | + | 13.3392i | 0.669474 | + | 0.669474i | 0.957594 | − | 0.288120i | \(-0.0930302\pi\) |
−0.288120 | + | 0.957594i | \(0.593030\pi\) | |||||||
\(398\) | −1.23631 | − | 3.11499i | −0.0619705 | − | 0.156140i | ||||
\(399\) | −2.58651 | + | 21.1113i | −0.129488 | + | 1.05689i | ||||
\(400\) | −1.39740 | − | 2.79170i | −0.0698699 | − | 0.139585i | ||||
\(401\) | −4.84547 | + | 8.39261i | −0.241971 | + | 0.419107i | −0.961276 | − | 0.275588i | \(-0.911127\pi\) |
0.719304 | + | 0.694695i | \(0.244461\pi\) | |||||||
\(402\) | −3.01582 | − | 3.05154i | −0.150415 | − | 0.152197i | ||||
\(403\) | −10.0726 | + | 37.5914i | −0.501751 | + | 1.87256i | ||||
\(404\) | −8.57119 | + | 4.61419i | −0.426433 | + | 0.229565i | ||||
\(405\) | 13.5340 | + | 12.5941i | 0.672511 | + | 0.625807i | ||||
\(406\) | 10.0858 | + | 13.5570i | 0.500551 | + | 0.672824i | ||||
\(407\) | 4.13030 | − | 2.38463i | 0.204731 | − | 0.118202i | ||||
\(408\) | 16.8099 | + | 5.15280i | 0.832213 | + | 0.255102i | ||||
\(409\) | 6.19403 | + | 3.57613i | 0.306275 | + | 0.176828i | 0.645258 | − | 0.763964i | \(-0.276750\pi\) |
−0.338983 | + | 0.940792i | \(0.610083\pi\) | |||||||
\(410\) | −1.58417 | − | 13.5926i | −0.0782366 | − | 0.671292i | ||||
\(411\) | −0.659617 | − | 0.843814i | −0.0325365 | − | 0.0416223i | ||||
\(412\) | −13.7808 | + | 3.25644i | −0.678933 | + | 0.160434i | ||||
\(413\) | −8.86768 | − | 8.86768i | −0.436350 | − | 0.436350i | ||||
\(414\) | −2.16575 | + | 0.291964i | −0.106441 | + | 0.0143493i | ||||
\(415\) | −17.0092 | −0.834948 | ||||||||
\(416\) | −14.8927 | − | 22.7254i | −0.730173 | − | 1.11420i | ||||
\(417\) | −30.4647 | + | 12.9410i | −1.49186 | + | 0.633721i | ||||
\(418\) | −20.3783 | − | 16.1241i | −0.996736 | − | 0.788655i | ||||
\(419\) | 17.9404 | − | 4.80711i | 0.876445 | − | 0.234843i | 0.207572 | − | 0.978220i | \(-0.433444\pi\) |
0.668873 | + | 0.743377i | \(0.266777\pi\) | |||||||
\(420\) | 1.39954 | + | 12.6560i | 0.0682906 | + | 0.617552i | ||||
\(421\) | 1.97005 | + | 0.527873i | 0.0960144 | + | 0.0257270i | 0.306506 | − | 0.951869i | \(-0.400840\pi\) |
−0.210492 | + | 0.977596i | \(0.567507\pi\) | |||||||
\(422\) | −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 | ||||
\(426\) | 16.1412 | − | 9.19285i | 0.782044 | − | 0.445395i | ||||
\(427\) | 2.77508 | + | 10.3567i | 0.134295 | + | 0.501198i | ||||
\(428\) | 0.562495 | − | 18.8995i | 0.0271892 | − | 0.913542i | ||||
\(429\) | −3.10596 | − | 22.0580i | −0.149957 | − | 1.06497i | ||||
\(430\) | −7.29653 | − | 18.3843i | −0.351870 | − | 0.886568i | ||||
\(431\) | −19.8202 | −0.954707 | −0.477354 | − | 0.878711i | \(-0.658404\pi\) | ||||
−0.477354 | + | 0.878711i | \(0.658404\pi\) | |||||||
\(432\) | −19.4511 | + | 7.32499i | −0.935840 | + | 0.352424i | ||||
\(433\) | 23.7342 | 1.14060 | 0.570298 | − | 0.821438i | \(-0.306828\pi\) | ||||
0.570298 | + | 0.821438i | \(0.306828\pi\) | |||||||
\(434\) | 7.56411 | + | 19.0585i | 0.363089 | + | 0.914836i | ||||
\(435\) | 3.31242 | + | 23.5242i | 0.158818 | + | 1.12790i | ||||
\(436\) | −32.9149 | − | 0.979628i | −1.57634 | − | 0.0469156i | ||||
\(437\) | −0.914861 | − | 3.41431i | −0.0437637 | − | 0.163329i | ||||
\(438\) | 26.7068 | − | 15.2102i | 1.27610 | − | 0.726773i | ||||
\(439\) | −19.0949 | + | 11.0245i | −0.911350 | + | 0.526168i | −0.880865 | − | 0.473367i | \(-0.843039\pi\) |
−0.0304850 | + | 0.999535i | \(0.509705\pi\) | |||||||
\(440\) | −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 | ||||
\(443\) | −9.71199 | − | 2.60232i | −0.461431 | − | 0.123640i | 0.0206123 | − | 0.999788i | \(-0.493438\pi\) |
−0.482043 | + | 0.876148i | \(0.660105\pi\) | |||||||
\(444\) | 6.13276 | − | 0.678179i | 0.291048 | − | 0.0321849i | ||||
\(445\) | 32.8208 | − | 8.79430i | 1.55585 | − | 0.416890i | ||||
\(446\) | −12.3105 | − | 9.74054i | −0.582920 | − | 0.461228i | ||||
\(447\) | −8.35953 | + | 3.55100i | −0.395392 | + | 0.167957i | ||||
\(448\) | −13.4423 | − | 4.92299i | −0.635090 | − | 0.232590i | ||||
\(449\) | 24.6980 | 1.16557 | 0.582786 | − | 0.812626i | \(-0.301963\pi\) | ||||
0.582786 | + | 0.812626i | \(0.301963\pi\) | |||||||
\(450\) | 1.25768 | − | 3.06314i | 0.0592874 | − | 0.144398i | ||||
\(451\) | 8.91903 | + | 8.91903i | 0.419981 | + | 0.419981i | ||||
\(452\) | −0.318332 | − | 1.34714i | −0.0149731 | − | 0.0633640i | ||||
\(453\) | 9.60887 | + | 12.2921i | 0.451464 | + | 0.577535i | ||||
\(454\) | 2.84503 | + | 24.4112i | 0.133524 | + | 1.14567i | ||||
\(455\) | −15.2897 | − | 8.82752i | −0.716793 | − | 0.413841i | ||||
\(456\) | −15.7612 | − | 29.6951i | −0.738086 | − | 1.39060i | ||||
\(457\) | −27.1171 | + | 15.6561i | −1.26849 | + | 0.732360i | −0.974701 | − | 0.223511i | \(-0.928248\pi\) |
−0.293784 | + | 0.955872i | \(0.594915\pi\) | |||||||
\(458\) | 13.5171 | + | 18.1692i | 0.631612 | + | 0.848992i | ||||
\(459\) | 7.59842 | + | 17.0302i | 0.354664 | + | 0.794902i | ||||
\(460\) | −1.00309 | − | 1.86330i | −0.0467691 | − | 0.0868769i | ||||
\(461\) | 3.17103 | − | 11.8344i | 0.147689 | − | 0.551185i | −0.851931 | − | 0.523653i | \(-0.824569\pi\) |
0.999621 | − | 0.0275314i | \(-0.00876461\pi\) | |||||||
\(462\) | −8.24992 | − | 8.34764i | −0.383821 | − | 0.388367i | ||||
\(463\) | −12.7250 | + | 22.0403i | −0.591379 | + | 1.02430i | 0.402668 | + | 0.915346i | \(0.368083\pi\) |
−0.994047 | + | 0.108953i | \(0.965250\pi\) | |||||||
\(464\) | −25.3415 | − | 8.43466i | −1.17645 | − | 0.391569i | ||||
\(465\) | −3.50574 | + | 28.6141i | −0.162575 | + | 1.32695i | ||||
\(466\) | 13.1490 | + | 33.1300i | 0.609114 | + | 1.53472i | ||||
\(467\) | −6.28473 | − | 6.28473i | −0.290822 | − | 0.290822i | 0.546583 | − | 0.837405i | \(-0.315928\pi\) |
−0.837405 | + | 0.546583i | \(0.815928\pi\) | |||||||
\(468\) | 7.78606 | − | 27.7469i | 0.359911 | − | 1.28260i | ||||
\(469\) | 2.21624 | − | 2.21624i | 0.102336 | − | 0.102336i | ||||
\(470\) | −8.03621 | + | 18.6130i | −0.370683 | + | 0.858554i | ||||
\(471\) | −7.67200 | − | 18.0609i | −0.353507 | − | 0.832203i | ||||
\(472\) | 19.5178 | + | 3.46158i | 0.898378 | + | 0.159332i | ||||
\(473\) | 15.7885 | + | 9.11550i | 0.725956 | + | 0.419131i | ||||
\(474\) | −9.94063 | + | 16.9859i | −0.456588 | + | 0.780190i | ||||
\(475\) | 5.17343 | + | 1.38622i | 0.237373 | + | 0.0636040i | ||||
\(476\) | −3.69192 | + | 12.3021i | −0.169219 | + | 0.563866i | ||||
\(477\) | −10.8151 | + | 19.5352i | −0.495190 | + | 0.894454i | ||||
\(478\) | −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 | \(0.856796\pi\) | |||||||
\(480\) | −13.2711 | − | 15.1311i | −0.605741 | − | 0.690639i | ||||
\(481\) | −4.27757 | + | 7.40897i | −0.195040 | + | 0.337820i | ||||
\(482\) | 14.1966 | + | 11.2329i | 0.646635 | + | 0.511642i | ||||
\(483\) | −0.222600 | − | 1.58087i | −0.0101287 | − | 0.0719321i | ||||
\(484\) | −7.45556 | + | 1.76177i | −0.338889 | + | 0.0800803i | ||||
\(485\) | 12.0772 | − | 12.0772i | 0.548399 | − | 0.548399i | ||||
\(486\) | −19.4147 | − | 10.4437i | −0.880667 | − | 0.473736i | ||||
\(487\) | − | 11.2953i | − | 0.511838i | −0.966698 | − | 0.255919i | \(-0.917622\pi\) | ||
0.966698 | − | 0.255919i | \(-0.0823780\pi\) | |||||||
\(488\) | −12.9718 | − | 10.9067i | −0.587205 | − | 0.493722i | ||||
\(489\) | 17.5468 | − | 23.2982i | 0.793496 | − | 1.05358i | ||||
\(490\) | 10.9588 | − | 1.27721i | 0.495070 | − | 0.0576986i | ||||
\(491\) | 7.32459 | + | 27.3357i | 0.330554 | + | 1.23364i | 0.908609 | + | 0.417647i | \(0.137145\pi\) |
−0.578055 | + | 0.815998i | \(0.696188\pi\) | |||||||
\(492\) | 5.93040 | + | 15.2026i | 0.267363 | + | 0.685387i | ||||
\(493\) | −6.20215 | + | 23.1468i | −0.279331 | + | 1.04248i | ||||
\(494\) | 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 | ||||
\(498\) | 19.6222 | − | 5.13413i | 0.879292 | − | 0.230066i | ||||
\(499\) | 16.8830 | − | 4.52377i | 0.755785 | − | 0.202512i | 0.139702 | − | 0.990194i | \(-0.455385\pi\) |
0.616082 | + | 0.787682i | \(0.288719\pi\) | |||||||
\(500\) | 23.7374 | + | 0.706483i | 1.06157 | + | 0.0315949i | ||||
\(501\) | 6.13520 | − | 15.1966i | 0.274100 | − | 0.678936i | ||||
\(502\) | 11.0524 | − | 25.5988i | 0.493291 | − | 1.14253i | ||||
\(503\) | − | 14.1184i | − | 0.629509i | −0.949173 | − | 0.314754i | \(-0.898078\pi\) | ||
0.949173 | − | 0.314754i | \(-0.101922\pi\) | |||||||
\(504\) | −5.43471 | − | 14.1779i | −0.242081 | − | 0.631533i | ||||
\(505\) | − | 9.99782i | − | 0.444897i | ||||||
\(506\) | 1.79072 | + | 0.773147i | 0.0796072 | + | 0.0343706i | ||||
\(507\) | 10.7416 | + | 13.7412i | 0.477053 | + | 0.610269i | ||||
\(508\) | 8.32034 | − | 7.83938i | 0.369155 | − | 0.347816i | ||||
\(509\) | 29.4208 | − | 7.88327i | 1.30405 | − | 0.349420i | 0.461072 | − | 0.887363i | \(-0.347465\pi\) |
0.842981 | + | 0.537943i | \(0.180798\pi\) | |||||||
\(510\) | −12.8438 | + | 12.6935i | −0.568734 | + | 0.562077i | ||||
\(511\) | 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 | ||||
\(515\) | 3.76420 | − | 14.0482i | 0.165870 | − | 0.619037i | ||||
\(516\) | 13.9667 | + | 19.0061i | 0.614848 | + | 0.836699i | ||||
\(517\) | −4.83648 | − | 18.0500i | −0.212708 | − | 0.793838i | ||||
\(518\) | 0.521799 | + | 4.47719i | 0.0229265 | + | 0.196716i | ||||
\(519\) | −41.1343 | − | 5.03969i | −1.80559 | − | 0.221218i | ||||
\(520\) | 27.8023 | − | 2.40445i | 1.21921 | − | 0.105442i | ||||
\(521\) | 8.75761i | 0.383678i | 0.981426 | + | 0.191839i | \(0.0614451\pi\) | ||||
−0.981426 | + | 0.191839i | \(0.938555\pi\) | |||||||
\(522\) | −10.9220 | − | 26.1383i | −0.478041 | − | 1.14404i | ||||
\(523\) | 21.3424 | − | 21.3424i | 0.933236 | − | 0.933236i | −0.0646706 | − | 0.997907i | \(-0.520600\pi\) |
0.997907 | + | 0.0646706i | \(0.0205997\pi\) | |||||||
\(524\) | −9.61757 | + | 15.5693i | −0.420145 | + | 0.680147i | ||||
\(525\) | 2.24309 | + | 0.905583i | 0.0978966 | + | 0.0395229i | ||||
\(526\) | −15.3793 | + | 19.4370i | −0.670567 | + | 0.847491i | ||||
\(527\) | −14.5396 | + | 25.1834i | −0.633356 | + | 1.09700i | ||||
\(528\) | 18.2465 | + | 3.34704i | 0.794078 | + | 0.145661i | ||||
\(529\) | −11.3673 | − | 19.6888i | −0.494232 | − | 0.856035i | ||||
\(530\) | −21.3927 | − | 3.14084i | −0.929241 | − | 0.136429i | ||||
\(531\) | 10.8380 | + | 18.0161i | 0.470330 | + | 0.781830i | ||||
\(532\) | 21.6251 | − | 11.6416i | 0.937566 | − | 0.504727i | ||||
\(533\) | −21.8551 | − | 5.85605i | −0.946648 | − | 0.253654i | ||||
\(534\) | −35.2084 | + | 20.0521i | −1.52361 | + | 0.867740i | ||||
\(535\) | 16.8180 | + | 9.70989i | 0.727107 | + | 0.419795i | ||||
\(536\) | −0.865129 | + | 4.87794i | −0.0373679 | + | 0.210695i | ||||
\(537\) | −17.1433 | + | 22.7623i | −0.739787 | + | 0.982268i | ||||
\(538\) | 0.572721 | + | 0.247274i | 0.0246918 | + | 0.0106607i | ||||
\(539\) | −7.19083 | + | 7.19083i | −0.309731 | + | 0.309731i | ||||
\(540\) | 2.84533 | − | 21.1569i | 0.122444 | − | 0.910446i | ||||
\(541\) | −25.1121 | − | 25.1121i | −1.07965 | − | 1.07965i | −0.996540 | − | 0.0831121i | \(-0.973514\pi\) |
−0.0831121 | − | 0.996540i | \(-0.526486\pi\) | |||||||
\(542\) | −9.81899 | + | 3.89706i | −0.421762 | + | 0.167393i | ||||
\(543\) | −21.4016 | − | 16.1184i | −0.918429 | − | 0.691707i | ||||
\(544\) | −6.35379 | − | 19.2819i | −0.272417 | − | 0.826707i | ||||
\(545\) | 16.9105 | − | 29.2898i | 0.724366 | − | 1.25464i | ||||
\(546\) | 20.3031 | + | 5.56853i | 0.868894 | + | 0.238311i | ||||
\(547\) | 1.42764 | − | 5.32802i | 0.0610414 | − | 0.227810i | −0.928666 | − | 0.370918i | \(-0.879043\pi\) |
0.989707 | + | 0.143108i | \(0.0457098\pi\) | |||||||
\(548\) | −0.355484 | + | 1.18453i | −0.0151855 | + | 0.0506008i | ||||
\(549\) | −0.323163 | − | 17.9728i | −0.0137923 | − | 0.767060i | ||||
\(550\) | −2.37121 | + | 1.76407i | −0.101109 | + | 0.0752203i | ||||
\(551\) | 39.6818 | − | 22.9103i | 1.69050 | − | 0.976013i | ||||
\(552\) | 1.71961 | + | 1.84678i | 0.0731916 | + | 0.0786040i | ||||
\(553\) | −12.4513 | − | 7.18876i | −0.529483 | − | 0.305697i | ||||
\(554\) | 14.7579 | − | 1.71998i | 0.627003 | − | 0.0730748i | ||||
\(555\) | −2.37241 | + | 5.87637i | −0.100703 | + | 0.249438i | ||||
\(556\) | 32.5162 | + | 20.0861i | 1.37899 | + | 0.851842i | ||||
\(557\) | −15.4160 | − | 15.4160i | −0.653197 | − | 0.653197i | 0.300565 | − | 0.953761i | \(-0.402825\pi\) |
−0.953761 | + | 0.300565i | \(0.902825\pi\) | |||||||
\(558\) | −4.59270 | − | 34.0681i | −0.194425 | − | 1.44222i | ||||
\(559\) | −32.7029 | −1.38319 | ||||||||
\(560\) | 10.9965 | − | 9.75989i | 0.464688 | − | 0.412431i | ||||
\(561\) | 2.02410 | − | 16.5208i | 0.0854574 | − | 0.697510i | ||||
\(562\) | 5.84004 | − | 7.38089i | 0.246347 | − | 0.311344i | ||||
\(563\) | −15.9692 | + | 4.27894i | −0.673022 | + | 0.180336i | −0.579116 | − | 0.815245i | \(-0.696602\pi\) |
−0.0939062 | + | 0.995581i | \(0.529935\pi\) | |||||||
\(564\) | 3.65253 | − | 23.8981i | 0.153799 | − | 1.00629i | ||||
\(565\) | 1.37327 | + | 0.367967i | 0.0577740 | + | 0.0154805i | ||||
\(566\) | −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 | −0.692167 | − | 0.721737i | \(-0.743344\pi\) |
0.278959 | + | 0.960303i | \(0.410011\pi\) | |||||||
\(570\) | 34.5283 | + | 0.203286i | 1.44623 | + | 0.00851471i | ||||
\(571\) | −3.18813 | − | 11.8982i | −0.133419 | − | 0.497926i | 0.866580 | − | 0.499037i | \(-0.166313\pi\) |
−0.999999 | + | 0.00111115i | \(0.999646\pi\) | |||||||
\(572\) | −18.7210 | + | 17.6388i | −0.782762 | + | 0.737515i | ||||
\(573\) | −9.12532 | + | 7.13334i | −0.381216 | + | 0.298000i | ||||
\(574\) | −11.0803 | + | 4.39766i | −0.462483 | + | 0.183555i | ||||
\(575\) | −0.402016 | −0.0167652 | ||||||||
\(576\) | 19.8772 | + | 13.4498i | 0.828215 | + | 0.560410i | ||||
\(577\) | 21.7471 | 0.905342 | 0.452671 | − | 0.891678i | \(-0.350471\pi\) | ||||
0.452671 | + | 0.891678i | \(0.350471\pi\) | |||||||
\(578\) | 5.41544 | − | 2.14933i | 0.225253 | − | 0.0894004i | ||||
\(579\) | −1.50481 | − | 0.607525i | −0.0625380 | − | 0.0252479i | ||||
\(580\) | 19.9654 | − | 18.8113i | 0.829018 | − | 0.781097i | ||||
\(581\) | 3.83498 | + | 14.3123i | 0.159102 | + | 0.593775i | ||||
\(582\) | −10.2872 | + | 17.5781i | −0.426417 | + | 0.728634i | ||||
\(583\) | 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 | ||||
\(587\) | −15.2163 | − | 4.07718i | −0.628042 | − | 0.168283i | −0.0692610 | − | 0.997599i | \(-0.522064\pi\) |
−0.558781 | + | 0.829315i | \(0.688731\pi\) | |||||||
\(588\) | −12.2569 | + | 4.78130i | −0.505465 | + | 0.197177i | ||||
\(589\) | 53.7083 | − | 14.3911i | 2.21301 | − | 0.592975i | ||||
\(590\) | −12.6327 | + | 15.9657i | −0.520080 | + | 0.657299i | ||||
\(591\) | −28.9508 | − | 21.8041i | −1.19088 | − | 0.896899i | ||||
\(592\) | −4.72937 | − | 5.32860i | −0.194376 | − | 0.219004i | ||||
\(593\) | 10.1125 | 0.415270 | 0.207635 | − | 0.978206i | \(-0.433423\pi\) | ||||
0.207635 | + | 0.978206i | \(0.433423\pi\) | |||||||
\(594\) | 10.0435 | + | 16.9200i | 0.412088 | + | 0.694234i | ||||
\(595\) | −9.32807 | − | 9.32807i | −0.382414 | − | 0.382414i | ||||
\(596\) | 8.92245 | + | 5.51164i | 0.365478 | + | 0.225766i | ||||
\(597\) | −4.06446 | + | 0.572312i | −0.166347 | + | 0.0234232i | ||||
\(598\) | −3.47529 | + | 0.405032i | −0.142115 | + | 0.0165630i | ||||
\(599\) | 4.23917 | + | 2.44748i | 0.173208 | + | 0.100002i | 0.584097 | − | 0.811684i | \(-0.301449\pi\) |
−0.410890 | + | 0.911685i | \(0.634782\pi\) | |||||||
\(600\) | −3.72617 | + | 0.857372i | −0.152120 | + | 0.0350021i | ||||
\(601\) | −25.8322 | + | 14.9142i | −1.05372 | + | 0.608364i | −0.923688 | − | 0.383146i | \(-0.874841\pi\) |
−0.130030 | + | 0.991510i | \(0.541507\pi\) | |||||||
\(602\) | −13.8243 | + | 10.2847i | −0.563436 | + | 0.419171i | ||||
\(603\) | −4.50263 | + | 2.70867i | −0.183361 | + | 0.110306i | ||||
\(604\) | 5.17847 | − | 17.2555i | 0.210709 | − | 0.702117i | ||||
\(605\) | 2.03647 | − | 7.60019i | 0.0827941 | − | 0.308992i | ||||
\(606\) | 3.01779 | + | 11.5337i | 0.122589 | + | 0.468526i | ||||
\(607\) | −8.48425 | + | 14.6952i | −0.344365 | + | 0.596458i | −0.985238 | − | 0.171189i | \(-0.945239\pi\) |
0.640873 | + | 0.767647i | \(0.278572\pi\) | |||||||
\(608\) | −17.4798 | + | 34.6614i | −0.708900 | + | 1.40570i | ||||
\(609\) | 19.0476 | − | 8.09112i | 0.771846 | − | 0.327869i | ||||
\(610\) | 16.1788 | − | 6.42120i | 0.655061 | − | 0.259987i | ||||
\(611\) | 23.7025 | + | 23.7025i | 0.958901 | + | 0.958901i | ||||
\(612\) | 10.9855 | − | 18.5204i | 0.444063 | − | 0.748641i | ||||
\(613\) | 30.2781 | − | 30.2781i | 1.22292 | − | 1.22292i | 0.256332 | − | 0.966589i | \(-0.417486\pi\) |
0.966589 | − | 0.256332i | \(-0.0825140\pi\) | |||||||
\(614\) | 14.9775 | + | 6.46656i | 0.604441 | + | 0.260969i | ||||
\(615\) | −16.6358 | − | 2.03818i | −0.670820 | − | 0.0821874i | ||||
\(616\) | −2.36660 | + | 13.3438i | −0.0953531 | + | 0.537639i | ||||
\(617\) | −14.9377 | − | 8.62428i | −0.601368 | − | 0.347200i | 0.168211 | − | 0.985751i | \(-0.446201\pi\) |
−0.769580 | + | 0.638551i | \(0.779534\pi\) | |||||||
\(618\) | −0.102105 | + | 17.3425i | −0.00410725 | + | 0.697619i | ||||
\(619\) | −16.7334 | − | 4.48369i | −0.672570 | − | 0.180215i | −0.0936580 | − | 0.995604i | \(-0.529856\pi\) |
−0.578912 | + | 0.815390i | \(0.696523\pi\) | |||||||
\(620\) | 29.3104 | − | 15.7789i | 1.17713 | − | 0.633696i | ||||
\(621\) | −0.277671 | + | 2.66205i | −0.0111426 | + | 0.106824i | ||||
\(622\) | −13.4653 | − | 1.97694i | −0.539908 | − | 0.0792682i | ||||
\(623\) | −14.7999 | − | 25.6341i | −0.592945 | − | 1.02701i | ||||
\(624\) | −31.3477 | + | 11.1658i | −1.25491 | + | 0.446990i | ||||
\(625\) | −10.2442 | + | 17.7435i | −0.409770 | + | 0.709742i | ||||
\(626\) | −22.5483 | + | 28.4975i | −0.901211 | + | 1.13899i | ||||
\(627\) | −25.0741 | + | 19.6006i | −1.00136 | + | 0.782773i | ||||
\(628\) | −11.9080 | + | 19.2771i | −0.475181 | + | 0.769241i | ||||
\(629\) | −4.52012 | + | 4.52012i | −0.180229 | + | 0.180229i | ||||
\(630\) | 15.4677 | + | 1.98757i | 0.616249 | + | 0.0791868i | ||||
\(631\) | 11.6246i | 0.462766i | 0.972863 | + | 0.231383i | \(0.0743251\pi\) | ||||
−0.972863 | + | 0.231383i | \(0.925675\pi\) | |||||||
\(632\) | 22.6410 | − | 1.95808i | 0.900612 | − | 0.0778884i | ||||
\(633\) | 1.36559 | + | 3.21478i | 0.0542774 | + | 0.127776i | ||||
\(634\) | −2.64507 | − | 22.6955i | −0.105049 | − | 0.901352i | ||||
\(635\) | 3.03885 | + | 11.3411i | 0.120593 | + | 0.450059i | ||||
\(636\) | 25.6272 | − | 2.83393i | 1.01619 | − | 0.112373i | ||||
\(637\) | 4.72135 | − | 17.6203i | 0.187067 | − | 0.698142i | ||||
\(638\) | −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 | \(0.871689\pi\) | |||||||
\(642\) | −22.3326 | − | 6.12514i | −0.881396 | − | 0.241740i | ||||
\(643\) | 31.1326 | − | 8.34195i | 1.22775 | − | 0.328974i | 0.414046 | − | 0.910256i | \(-0.364115\pi\) |
0.813702 | + | 0.581282i | \(0.197449\pi\) | |||||||
\(644\) | −1.34171 | + | 1.26415i | −0.0528708 | + | 0.0498146i | ||||
\(645\) | −23.9880 | + | 3.37771i | −0.944525 | + | 0.132997i | ||||
\(646\) | 31.9766 | + | 13.8060i | 1.25810 | + | 0.543189i | ||||
\(647\) | − | 13.1882i | − | 0.518482i | −0.965813 | − | 0.259241i | \(-0.916528\pi\) | ||
0.965813 | − | 0.259241i | \(-0.0834724\pi\) | |||||||
\(648\) | 3.10364 | + | 25.2659i | 0.121923 | + | 0.992540i | ||||
\(649\) | − | 18.7653i | − | 0.736604i | ||||||
\(650\) | 2.10143 | − | 4.86720i | 0.0824247 | − | 0.190907i | ||||
\(651\) | 24.8677 | − | 3.50158i | 0.974641 | − | 0.137238i | ||||
\(652\) | −33.6639 | − | 1.00192i | −1.31838 | − | 0.0392382i | ||||
\(653\) | −15.2661 | + | 4.09053i | −0.597407 | + | 0.160075i | −0.544836 | − | 0.838542i | \(-0.683408\pi\) |
−0.0525710 | + | 0.998617i | \(0.516742\pi\) | |||||||
\(654\) | −10.6674 | + | 38.8938i | −0.417128 | + | 1.52087i | ||||
\(655\) | −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 | ||||
\(659\) | −9.26579 | + | 34.5804i | −0.360944 | + | 1.34706i | 0.511893 | + | 0.859049i | \(0.328944\pi\) |
−0.872837 | + | 0.488012i | \(0.837722\pi\) | |||||||
\(660\) | −11.9102 | + | 14.8719i | −0.463605 | + | 0.578886i | ||||
\(661\) | 6.58569 | + | 24.5781i | 0.256153 | + | 0.955978i | 0.967445 | + | 0.253081i | \(0.0814439\pi\) |
−0.711292 | + | 0.702897i | \(0.751889\pi\) | |||||||
\(662\) | 28.5166 | − | 3.32350i | 1.10833 | − | 0.129172i | ||||
\(663\) | 11.6732 | + | 27.4802i | 0.453349 | + | 1.06724i | ||||
\(664\) | −17.9261 | − | 15.0723i | −0.695669 | − | 0.584919i | ||||
\(665\) | 25.2244i | 0.978162i | ||||||||
\(666\) | 0.963123 | − | 7.49523i | 0.0373202 | − | 0.290434i | ||||
\(667\) | −2.43195 | + | 2.43195i | −0.0941656 | + | 0.0941656i | ||||
\(668\) | −18.4165 | + | 4.35185i | −0.712554 | + | 0.168378i | ||||
\(669\) | −15.1472 | + | 11.8407i | −0.585625 | + | 0.457788i | ||||
\(670\) | −3.99021 | − | 3.15720i | −0.154155 | − | 0.121973i | ||||
\(671\) | −8.02196 | + | 13.8944i | −0.309684 | + | 0.536389i | ||||
\(672\) | −9.73988 | + | 14.5785i | −0.375724 | + | 0.562378i | ||||
\(673\) | −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 | ||||
\(675\) | −3.28282 | − | 2.38116i | −0.126356 | − | 0.0916509i | ||||
\(676\) | 5.78894 | − | 19.2897i | 0.222652 | − | 0.741912i | ||||
\(677\) | 35.5422 | + | 9.52351i | 1.36600 | + | 0.366018i | 0.866015 | − | 0.500017i | \(-0.166673\pi\) |
0.499983 | + | 0.866035i | \(0.333340\pi\) | |||||||
\(678\) | −1.69531 | − | 0.00998117i | −0.0651080 | − | 0.000383325i | ||||
\(679\) | −12.8854 | − | 7.43937i | −0.494495 | − | 0.285497i | ||||
\(680\) | 20.5311 | + | 3.64130i | 0.787331 | + | 0.139637i | ||||
\(681\) | 29.8764 | + | 3.66039i | 1.14487 | + | 0.140267i | ||||
\(682\) | −12.1619 | + | 28.1687i | −0.465703 | + | 1.07863i | ||||
\(683\) | −0.339146 | + | 0.339146i | −0.0129771 | + | 0.0129771i | −0.713566 | − | 0.700588i | \(-0.752921\pi\) |
0.700588 | + | 0.713566i | \(0.252921\pi\) | |||||||
\(684\) | −39.8941 | + | 10.1877i | −1.52539 | + | 0.389535i | ||||
\(685\) | −0.898173 | − | 0.898173i | −0.0343174 | − | 0.0343174i | ||||
\(686\) | −10.0804 | − | 25.3984i | −0.384870 | − | 0.969715i | ||||
\(687\) | 25.5277 | − | 10.8438i | 0.973941 | − | 0.413715i | ||||
\(688\) | 8.60093 | − | 25.8410i | 0.327907 | − | 0.985180i | ||||
\(689\) | −17.8749 | + | 30.9602i | −0.680978 | + | 1.17949i | ||||
\(690\) | −2.50733 | + | 0.656041i | −0.0954525 | + | 0.0249751i | ||||
\(691\) | −4.63964 | + | 17.3154i | −0.176500 | + | 0.658707i | 0.819791 | + | 0.572663i | \(0.194089\pi\) |
−0.996291 | + | 0.0860448i | \(0.972577\pi\) | |||||||
\(692\) | 22.6830 | + | 42.1353i | 0.862279 | + | 1.60174i | ||||
\(693\) | −12.3172 | + | 7.40971i | −0.467890 | + | 0.281472i | ||||
\(694\) | 7.13356 | + | 9.58869i | 0.270786 | + | 0.363982i | ||||
\(695\) | −33.9955 | + | 19.6273i | −1.28952 | + | 0.744506i | ||||
\(696\) | −17.3545 | + | 27.7276i | −0.657820 | + | 1.05101i | ||||
\(697\) | −14.6412 | − | 8.45311i | −0.554576 | − | 0.320184i | ||||
\(698\) | 0.255444 | + | 2.19178i | 0.00966871 | + | 0.0829602i | ||||
\(699\) | 43.2284 | − | 6.08693i | 1.63505 | − | 0.230229i | ||||
\(700\) | −0.642353 | − | 2.71835i | −0.0242787 | − | 0.102744i | ||||
\(701\) | −14.5424 | − | 14.5424i | −0.549258 | − | 0.549258i | 0.376968 | − | 0.926226i | \(-0.376967\pi\) |
−0.926226 | + | 0.376968i | \(0.876967\pi\) | |||||||
\(702\) | −30.7779 | − | 17.2769i | −1.16164 | − | 0.652073i | ||||
\(703\) | 12.2231 | 0.461001 | ||||||||
\(704\) | −9.01409 | − | 19.4319i | −0.339731 | − | 0.732366i | ||||
\(705\) | 19.8342 | + | 14.9380i | 0.746998 | + | 0.562596i | ||||
\(706\) | 18.0428 | + | 14.2761i | 0.679048 | + | 0.537289i | ||||
\(707\) | −8.41264 | + | 2.25416i | −0.316390 | + | 0.0847764i | ||||
\(708\) | 9.75422 | − | 22.2316i | 0.366586 | − | 0.835514i | ||||
\(709\) | 32.2924 | + | 8.65273i | 1.21277 | + | 0.324960i | 0.807847 | − | 0.589392i | \(-0.200633\pi\) |
0.404920 | + | 0.914352i | \(0.367299\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | 13.5767 | + | 7.94547i | 0.508096 | + | 0.297352i | ||||
\(715\) | −6.83748 | − | 25.5178i | −0.255707 | − | 0.954313i | ||||
\(716\) | 32.8897 | + | 0.978877i | 1.22914 | + | 0.0365824i | ||||
\(717\) | 13.3012 | + | 5.36999i | 0.496744 | + | 0.200546i | ||||
\(718\) | −1.60761 | − | 4.05051i | −0.0599954 | − | 0.151164i | ||||
\(719\) | 38.7103 | 1.44365 | 0.721826 | − | 0.692075i | \(-0.243303\pi\) | ||||
0.721826 | + | 0.692075i | \(0.243303\pi\) | |||||||
\(720\) | −21.8406 | + | 11.4280i | −0.813952 | + | 0.425896i | ||||
\(721\) | −12.6695 | −0.471837 | ||||||||
\(722\) | −14.6558 | − | 36.9265i | −0.545431 | − | 1.37426i | ||||
\(723\) | 17.4678 | − | 13.6548i | 0.649636 | − | 0.507826i | ||||
\(724\) | −0.920358 | + | 30.9234i | −0.0342048 | + | 1.14926i | ||||
\(725\) | −1.34878 | − | 5.03373i | −0.0500925 | − | 0.186948i | ||||
\(726\) | −0.0552395 | + | 9.38247i | −0.00205013 | + | 0.348216i | ||||
\(727\) | 24.4245 | − | 14.1015i | 0.905853 | − | 0.522994i | 0.0267585 | − | 0.999642i | \(-0.491481\pi\) |
0.879095 | + | 0.476647i | \(0.158148\pi\) | |||||||
\(728\) | −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 | ||||
\(731\) | −23.6031 | − | 6.32442i | −0.872990 | − | 0.233917i | ||||
\(732\) | −16.7261 | + | 12.2911i | −0.618213 | + | 0.454294i | ||||
\(733\) | −7.28085 | + | 1.95090i | −0.268924 | + | 0.0720580i | −0.390761 | − | 0.920492i | \(-0.627788\pi\) |
0.121837 | + | 0.992550i | \(0.461122\pi\) | |||||||
\(734\) | 3.06608 | + | 2.42600i | 0.113171 | + | 0.0895453i | ||||
\(735\) | 1.64325 | − | 13.4123i | 0.0606123 | − | 0.494722i | ||||
\(736\) | 0.593963 | − | 2.85261i | 0.0218938 | − | 0.105149i | ||||
\(737\) | 4.68989 | 0.172754 | ||||||||
\(738\) | 19.8067 | − | 2.67013i | 0.729094 | − | 0.0982888i | ||||
\(739\) | −16.1043 | − | 16.1043i | −0.592407 | − | 0.592407i | 0.345874 | − | 0.938281i | \(-0.387583\pi\) |
−0.938281 | + | 0.345874i | \(0.887583\pi\) | |||||||
\(740\) | 7.12144 | − | 1.68281i | 0.261789 | − | 0.0618614i | ||||
\(741\) | 21.3723 | − | 52.9383i | 0.785130 | − | 1.94474i | ||||
\(742\) | 2.18046 | + | 18.7090i | 0.0800474 | + | 0.686829i | ||||
\(743\) | −5.50307 | − | 3.17720i | −0.201888 | − | 0.116560i | 0.395648 | − | 0.918402i | \(-0.370520\pi\) |
−0.597536 | + | 0.801842i | \(0.703853\pi\) | |||||||
\(744\) | −29.0505 | + | 27.0501i | −1.06504 | + | 0.991706i | ||||
\(745\) | −9.32837 | + | 5.38574i | −0.341765 | + | 0.197318i | ||||
\(746\) | −19.7680 | − | 26.5715i | −0.723759 | − | 0.972851i | ||||
\(747\) | −0.446590 | − | 24.8372i | −0.0163399 | − | 0.908746i | ||||
\(748\) | −16.9229 | + | 9.11021i | −0.618761 | + | 0.333102i | ||||
\(749\) | 4.37848 | − | 16.3407i | 0.159986 | − | 0.597077i | ||||
\(750\) | 7.69306 | − | 28.0493i | 0.280911 | − | 1.02421i | ||||
\(751\) | 7.20371 | − | 12.4772i | 0.262867 | − | 0.455299i | −0.704136 | − | 0.710066i | \(-0.748665\pi\) |
0.967003 | + | 0.254767i | \(0.0819986\pi\) | |||||||
\(752\) | −24.9629 | + | 12.4953i | −0.910305 | + | 0.455658i | ||||
\(753\) | −27.2783 | − | 20.5445i | −0.994077 | − | 0.748682i | ||||
\(754\) | −16.7313 | − | 42.1559i | −0.609317 | − | 1.53523i | ||||
\(755\) | 13.0840 | + | 13.0840i | 0.476176 | + | 0.476176i | ||||
\(756\) | −18.4439 | + | 2.37594i | −0.670798 | + | 0.0864121i | ||||
\(757\) | −29.7018 | + | 29.7018i | −1.07953 | + | 1.07953i | −0.0829799 | + | 0.996551i | \(0.526444\pi\) |
−0.996551 | + | 0.0829799i | \(0.973556\pi\) | |||||||
\(758\) | −3.73038 | + | 8.64010i | −0.135494 | + | 0.313823i | ||||
\(759\) | 1.43715 | − | 1.90821i | 0.0521653 | − | 0.0692635i | ||||
\(760\) | −22.8362 | − | 32.6828i | −0.828356 | − | 1.18553i | ||||
\(761\) | 21.6542 | + | 12.5021i | 0.784965 | + | 0.453200i | 0.838187 | − | 0.545383i | \(-0.183616\pi\) |
−0.0532222 | + | 0.998583i | \(0.516949\pi\) | |||||||
\(762\) | −6.92896 | − | 12.1662i | −0.251010 | − | 0.440734i | ||||
\(763\) | −28.4586 | − | 7.62545i | −1.03027 | − | 0.276060i | ||||
\(764\) | 12.8100 | + | 3.84434i | 0.463449 | + | 0.139083i | ||||
\(765\) | 11.4007 | + | 18.9514i | 0.412194 | + | 0.685190i | ||||
\(766\) | −7.53153 | + | 51.2984i | −0.272125 | + | 1.85349i | ||||
\(767\) | 16.8307 | + | 29.1516i | 0.607721 | + | 1.05260i | ||||
\(768\) | −0.578446 | − | 27.7068i | −0.0208729 | − | 0.999782i | ||||
\(769\) | −26.1481 | + | 45.2899i | −0.942926 | + | 1.63320i | −0.183076 | + | 0.983099i | \(0.558605\pi\) |
−0.759851 | + | 0.650097i | \(0.774728\pi\) | |||||||
\(770\) | −10.9154 | − | 8.63668i | −0.393364 | − | 0.311244i | ||||
\(771\) | −11.2891 | − | 4.55764i | −0.406567 | − | 0.164140i | ||||
\(772\) | 0.430933 | + | 1.82365i | 0.0155096 | + | 0.0656346i | ||||
\(773\) | 0.679496 | − | 0.679496i | 0.0244398 | − | 0.0244398i | −0.694781 | − | 0.719221i | \(-0.744499\pi\) |
0.719221 | + | 0.694781i | \(0.244499\pi\) | |||||||
\(774\) | 26.6536 | − | 11.1373i | 0.958043 | − | 0.400320i | ||||
\(775\) | − | 6.32386i | − | 0.227160i | ||||||
\(776\) | 23.4303 | − | 2.02634i | 0.841099 | − | 0.0727415i | ||||
\(777\) | 5.47955 | + | 0.671343i | 0.196578 | + | 0.0240843i | ||||
\(778\) | −4.11203 | + | 0.479241i | −0.147423 | + | 0.0171816i | ||||
\(779\) | 8.36677 | + | 31.2252i | 0.299771 | + | 1.11876i | ||||
\(780\) | 5.16370 | − | 33.7855i | 0.184890 | − | 1.20972i | ||||
\(781\) | −5.25540 | + | 19.6134i | −0.188053 | + | 0.701824i | ||||
\(782\) | −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 | ||||
\(786\) | 15.7549 | + | 15.9415i | 0.561959 | + | 0.568616i | ||||
\(787\) | 28.3085 | − | 7.58525i | 1.00909 | − | 0.270385i | 0.283841 | − | 0.958871i | \(-0.408391\pi\) |
0.725249 | + | 0.688487i | \(0.241725\pi\) | |||||||
\(788\) | −1.24501 | + | 41.8314i | −0.0443515 | + | 1.49018i | ||||
\(789\) | 18.6952 | + | 23.9158i | 0.665566 | + | 0.851425i | ||||
\(790\) | −9.25195 | + | 21.4288i | −0.329170 | + | 0.762404i | ||||
\(791\) | − | 1.23850i | − | 0.0440360i | ||||||
\(792\) | 9.25093 | − | 20.7516i | 0.328718 | − | 0.737375i | ||||
\(793\) | − | 28.7797i | − | 1.02200i | ||||||
\(794\) | −24.4930 | − | 10.5749i | −0.869223 | − | 0.375289i | ||||
\(795\) | −9.91370 | + | 24.5558i | −0.351603 | + | 0.870906i | ||||
\(796\) | 3.25017 | + | 3.44958i | 0.115199 | + | 0.122267i | ||||
\(797\) | −21.0141 | + | 5.63071i | −0.744357 | + | 0.199450i | −0.611014 | − | 0.791620i | \(-0.709238\pi\) |
−0.133343 | + | 0.991070i | \(0.542571\pi\) | |||||||
\(798\) | −7.61387 | − | 29.0996i | −0.269528 | − | 1.03011i | ||||
\(799\) | 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 | ||||
\(803\) | −8.69544 | + | 32.4518i | −0.306855 | + | 1.14520i | ||||
\(804\) | 5.55619 | + | 2.43781i | 0.195952 | + | 0.0859748i | ||||
\(805\) | −0.490035 | − | 1.82883i | −0.0172714 | − | 0.0644579i | ||||
\(806\) | −6.37131 | − | 54.6676i | −0.224420 | − | 1.92558i | ||||
\(807\) | 0.459640 | − | 0.610297i | 0.0161801 | − | 0.0214835i | ||||
\(808\) | 8.85934 | − | 10.5368i | 0.311671 | − | 0.370683i | ||||
\(809\) | 12.5804i | 0.442303i | 0.975240 | + | 0.221151i | \(0.0709815\pi\) | ||||
−0.975240 | + | 0.221151i | \(0.929019\pi\) | |||||||
\(810\) | −24.3604 | − | 9.49389i | −0.855937 | − | 0.333581i | ||||
\(811\) | 30.5378 | − | 30.5378i | 1.07233 | − | 1.07233i | 0.0751549 | − | 0.997172i | \(-0.476055\pi\) |
0.997172 | − | 0.0751549i | \(-0.0239451\pi\) | |||||||
\(812\) | −20.3302 | − | 12.5585i | −0.713451 | − | 0.440718i | ||||
\(813\) | 1.80403 | + | 12.8119i | 0.0632701 | + | 0.449333i | ||||
\(814\) | −4.18509 | + | 5.28930i | −0.146687 | + | 0.185390i | ||||
\(815\) | 17.2953 | − | 29.9564i | 0.605829 | − | 1.04933i | ||||
\(816\) | −24.7843 | + | 1.99651i | −0.867623 | + | 0.0698917i | ||||
\(817\) | 23.3620 | + | 40.4641i | 0.817331 | + | 1.41566i | ||||
\(818\) | −10.0075 | − | 1.46929i | −0.349905 | − | 0.0513723i | ||||
\(819\) | 12.4887 | − | 22.5582i | 0.436391 | − | 0.788246i | ||||
\(820\) | 9.17361 | + | 17.0406i | 0.320356 | + | 0.595085i | ||||
\(821\) | 18.2160 | + | 4.88097i | 0.635744 | + | 0.170347i | 0.562275 | − | 0.826951i | \(-0.309926\pi\) |
0.0734689 | + | 0.997298i | \(0.476593\pi\) | |||||||
\(822\) | 1.30726 | + | 0.765046i | 0.0455961 | + | 0.0266840i | ||||
\(823\) | 11.5958 | + | 6.69486i | 0.404206 | + | 0.233368i | 0.688297 | − | 0.725429i | \(-0.258359\pi\) |
−0.284091 | + | 0.958797i | \(0.591692\pi\) | |||||||
\(824\) | 16.4156 | − | 11.4700i | 0.571865 | − | 0.399575i | ||||
\(825\) | 1.41518 | + | 3.33153i | 0.0492704 | + | 0.115989i | ||||
\(826\) | 16.2826 | + | 7.03003i | 0.566543 | + | 0.244606i | ||||
\(827\) | −7.23348 | + | 7.23348i | −0.251533 | + | 0.251533i | −0.821599 | − | 0.570066i | \(-0.806918\pi\) |
0.570066 | + | 0.821599i | \(0.306918\pi\) | |||||||
\(828\) | 2.69450 | − | 1.51365i | 0.0936404 | − | 0.0526030i | ||||
\(829\) | −25.9641 | − | 25.9641i | −0.901769 | − | 0.901769i | 0.0938197 | − | 0.995589i | \(-0.470092\pi\) |
−0.995589 | + | 0.0938197i | \(0.970092\pi\) | |||||||
\(830\) | 22.3580 | − | 8.87368i | 0.776059 | − | 0.308010i | ||||
\(831\) | 2.21291 | − | 18.0619i | 0.0767650 | − | 0.626561i | ||||
\(832\) | 31.4318 | + | 22.1023i | 1.08970 | + | 0.766260i | ||||
\(833\) | 6.81519 | − | 11.8043i | 0.236132 | − | 0.408993i | ||||
\(834\) | 33.2936 | − | 32.9039i | 1.15286 | − | 1.13937i | ||||
\(835\) | 5.03040 | − | 18.7737i | 0.174084 | − | 0.649691i | ||||
\(836\) | 35.1986 | + | 10.5633i | 1.21737 | + | 0.365338i | ||||
\(837\) | −41.8750 | − | 4.36787i | −1.44741 | − | 0.150976i | ||||
\(838\) | −21.0742 | + | 15.6783i | −0.727996 | + | 0.541597i | ||||
\(839\) | −41.1955 | + | 23.7842i | −1.42223 | + | 0.821123i | −0.996489 | − | 0.0837230i | \(-0.973319\pi\) |
−0.425738 | + | 0.904846i | \(0.639986\pi\) | |||||||
\(840\) | −8.44230 | − | 15.9058i | −0.291287 | − | 0.548804i | ||||
\(841\) | −13.4955 | − | 7.79166i | −0.465364 | − | 0.268678i | ||||
\(842\) | −2.86496 | + | 0.333901i | −0.0987331 | + | 0.0115070i | ||||
\(843\) | −7.09922 | − | 9.08166i | −0.244510 | − | 0.312789i | ||||
\(844\) | 2.11959 | − | 3.43127i | 0.0729592 | − | 0.118109i | ||||
\(845\) | 14.6264 | + | 14.6264i | 0.503165 | + | 0.503165i | ||||
\(846\) | −27.3902 | − | 11.2460i | −0.941693 | − | 0.386644i | ||||
\(847\) | −6.85431 | −0.235517 | ||||||||
\(848\) | −19.7628 | − | 22.2668i | −0.678658 | − | 0.764647i | ||||
\(849\) | −17.5547 | + | 7.45698i | −0.602477 | + | 0.255923i | ||||
\(850\) | 2.45796 | − | 3.10647i | 0.0843072 | − | 0.106551i | ||||
\(851\) | −0.886202 | + | 0.237457i | −0.0303786 | + | 0.00813992i | ||||
\(852\) | −16.4212 | + | 20.5046i | −0.562582 | + | 0.702475i | ||||
\(853\) | −0.272071 | − | 0.0729011i | −0.00931552 | − | 0.00249609i | 0.254158 | − | 0.967163i | \(-0.418202\pi\) |
−0.263474 | + | 0.964667i | \(0.584868\pi\) | |||||||
\(854\) | −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 | −0.0129433 | − | 0.999916i | \(-0.504120\pi\) |
0.859481 | + | 0.511167i | \(0.170787\pi\) | |||||||
\(858\) | 15.5903 | + | 27.3742i | 0.532245 | + | 0.934538i | ||||
\(859\) | −0.282990 | − | 1.05613i | −0.00965548 | − | 0.0360347i | 0.960930 | − | 0.276791i | \(-0.0892711\pi\) |
−0.970586 | + | 0.240757i | \(0.922604\pi\) | |||||||
\(860\) | 19.1821 | + | 20.3590i | 0.654105 | + | 0.694235i | ||||
\(861\) | 2.03577 | + | 14.4577i | 0.0693788 | + | 0.492716i | ||||
\(862\) | 26.0531 | − | 10.3402i | 0.887372 | − | 0.352189i | ||||
\(863\) | 30.2887 | 1.03104 | 0.515520 | − | 0.856878i | \(-0.327599\pi\) | ||||
0.515520 | + | 0.856878i | \(0.327599\pi\) | |||||||
\(864\) | 21.7464 | − | 19.7761i | 0.739828 | − | 0.672796i | ||||
\(865\) | −49.1485 | −1.67110 | ||||||||
\(866\) | −31.1979 | + | 12.3821i | −1.06015 | + | 0.420762i | ||||
\(867\) | −0.994970 | − | 7.06611i | −0.0337910 | − | 0.239978i | ||||
\(868\) | −19.8856 | − | 21.1056i | −0.674961 | − | 0.716370i | ||||
\(869\) | −5.56816 | − | 20.7807i | −0.188887 | − | 0.704935i | ||||
\(870\) | −16.6266 | − | 29.1938i | −0.563696 | − | 0.989762i | ||||
\(871\) | −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 | ||||
\(875\) | 20.5236 | + | 5.49929i | 0.693825 | + | 0.185910i | ||||
\(876\) | −27.1701 | + | 33.9263i | −0.917992 | + | 1.14626i | ||||
\(877\) | −23.3620 | + | 6.25984i | −0.788880 | + | 0.211380i | −0.630696 | − | 0.776030i | \(-0.717231\pi\) |
−0.158184 | + | 0.987410i | \(0.550564\pi\) | |||||||
\(878\) | 19.3482 | − | 24.4531i | 0.652971 | − | 0.825253i | ||||
\(879\) | −4.55394 | + | 1.93444i | −0.153601 | + | 0.0652472i | ||||
\(880\) | 21.9618 | + | 1.30843i | 0.740333 | + | 0.0441073i | ||||
\(881\) | −10.3324 | −0.348108 | −0.174054 | − | 0.984736i | \(-0.555687\pi\) | ||||
−0.174054 | + | 0.984736i | \(0.555687\pi\) | |||||||
\(882\) | 2.15275 | + | 15.9688i | 0.0724869 | + | 0.537699i | ||||
\(883\) | 13.2455 | + | 13.2455i | 0.445745 | + | 0.445745i | 0.893937 | − | 0.448192i | \(-0.147932\pi\) |
−0.448192 | + | 0.893937i | \(0.647932\pi\) | |||||||
\(884\) | 18.1184 | − | 29.3307i | 0.609388 | − | 0.986500i | ||||
\(885\) | 15.3564 | + | 19.6447i | 0.516201 | + | 0.660349i | ||||
\(886\) | 14.1237 | − | 1.64607i | 0.474497 | − | 0.0553008i | ||||
\(887\) | 4.21020 | + | 2.43076i | 0.141365 | + | 0.0816170i | 0.569014 | − | 0.822328i | \(-0.307325\pi\) |
−0.427650 | + | 0.903945i | \(0.640658\pi\) | |||||||
\(888\) | −7.70752 | + | 4.09090i | −0.258648 | + | 0.137282i | ||||
\(889\) | 8.85782 | − | 5.11406i | 0.297082 | − | 0.171520i | ||||
\(890\) | −38.5539 | + | 28.6824i | −1.29233 | + | 0.961437i | ||||
\(891\) | 23.0380 | − | 7.06991i | 0.771803 | − | 0.236851i | ||||
\(892\) | 21.2634 | + | 6.38126i | 0.711952 | + | 0.213660i | ||||
\(893\) | 12.3953 | − | 46.2601i | 0.414794 | − | 1.54803i | ||||
\(894\) | 9.13579 | − | 9.02884i | 0.305546 | − | 0.301970i | ||||
\(895\) | −16.8975 | + | 29.2674i | −0.564822 | + | 0.978301i | ||||
\(896\) | 20.2378 | − | 0.541732i | 0.676099 | − | 0.0180980i | ||||
\(897\) | −0.521112 | + | 4.25335i | −0.0173994 | + | 0.142015i | ||||
\(898\) | −32.4648 | + | 12.8849i | −1.08336 | + | 0.429976i | ||||
\(899\) | −38.2555 | − | 38.2555i | −1.27589 | − | 1.27589i | ||||
\(900\) | −0.0551389 | + | 4.68253i | −0.00183796 | + | 0.156084i | ||||
\(901\) | −18.8884 | + | 18.8884i | −0.629264 | + | 0.629264i | ||||
\(902\) | −16.3768 | − | 7.07074i | −0.545289 | − | 0.235430i | ||||
\(903\) | 8.25062 | + | 19.4230i | 0.274563 | + | 0.646358i | ||||
\(904\) | 1.12124 | + | 1.60470i | 0.0372918 | + | 0.0533715i | ||||
\(905\) | −27.5177 | − | 15.8874i | −0.914720 | − | 0.528114i | ||||
\(906\) | −19.0434 | − | 11.1447i | −0.632674 | − | 0.370258i | ||||
\(907\) | −3.69290 | − | 0.989509i | −0.122621 | − | 0.0328561i | 0.196987 | − | 0.980406i | \(-0.436884\pi\) |
−0.319608 | + | 0.947550i | \(0.603551\pi\) | |||||||
\(908\) | −16.4750 | − | 30.6035i | −0.546742 | − | 1.01561i | ||||
\(909\) | 14.5990 | − | 0.262501i | 0.484220 | − | 0.00870661i | ||||
\(910\) | 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 | \(0.537435\pi\) | |||||||
\(912\) | 36.2096 | + | 30.8107i | 1.19902 | + | 1.02024i | ||||
\(913\) | −11.0858 | + | 19.2012i | −0.366887 | + | 0.635467i | ||||
\(914\) | 27.4769 | − | 34.7264i | 0.908854 | − | 1.14865i | ||||
\(915\) | −2.97251 | − | 21.1102i | −0.0982681 | − | 0.697883i | ||||
\(916\) | −27.2467 | − | 16.8310i | −0.900255 | − | 0.556112i | ||||
\(917\) | −11.5778 | + | 11.5778i | −0.382334 | + | 0.382334i | ||||
\(918\) | −18.8725 | − | 18.4216i | −0.622887 | − | 0.608003i | ||||
\(919\) | 44.5150i | 1.46841i | 0.678926 | + | 0.734206i | \(0.262446\pi\) | ||||
−0.678926 | + | 0.734206i | \(0.737554\pi\) | |||||||
\(920\) | 2.29061 | + | 1.92594i | 0.0755191 | + | 0.0634965i | ||||
\(921\) | 12.0202 | − | 15.9601i | 0.396080 | − | 0.525904i | ||||
\(922\) | 2.00580 | + | 17.2103i | 0.0660575 | + | 0.566792i | ||||
\(923\) | −9.42718 | − | 35.1827i | −0.310299 | − | 1.15805i | ||||
\(924\) | 15.1992 | + | 6.66874i | 0.500018 | + | 0.219385i | ||||
\(925\) | 0.359800 | − | 1.34279i | 0.0118301 | − | 0.0441507i | ||||
\(926\) | 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 | \(0.496292\pi\) | |||||||
\(930\) | −10.3198 | − | 39.4413i | −0.338398 | − | 1.29333i | ||||
\(931\) | −25.1748 | + | 6.74558i | −0.825072 | + | 0.221077i | ||||
\(932\) | −34.5678 | − | 36.6886i | −1.13231 | − | 1.20178i | ||||
\(933\) | −6.24000 | + | 15.4562i | −0.204288 | + | 0.506014i | ||||
\(934\) | 11.5398 | + | 4.98234i | 0.377594 | + | 0.163027i | ||||
\(935\) | − | 19.7396i | − | 0.645553i | ||||||
\(936\) | 4.24101 | + | 40.5344i | 0.138622 | + | 1.32491i | ||||
\(937\) | 2.96531i | 0.0968724i | 0.998826 | + | 0.0484362i | \(0.0154238\pi\) | ||||
−0.998826 | + | 0.0484362i | \(0.984576\pi\) | |||||||
\(938\) | −1.75697 | + | 4.06939i | −0.0573670 | + | 0.132870i | ||||
\(939\) | 27.4099 | + | 35.0641i | 0.894489 | + | 1.14427i | ||||
\(940\) | 0.852954 | − | 28.6587i | 0.0278203 | − | 0.934744i | ||||
\(941\) | −45.6603 | + | 12.2347i | −1.48848 | + | 0.398838i | −0.909225 | − | 0.416305i | \(-0.863325\pi\) |
−0.579260 | + | 0.815143i | \(0.696658\pi\) | |||||||
\(942\) | 19.5070 | + | 19.7380i | 0.635571 | + | 0.643100i | ||||
\(943\) | −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 | ||||
\(947\) | 8.31213 | − | 31.0213i | 0.270108 | − | 1.00806i | −0.688942 | − | 0.724817i | \(-0.741924\pi\) |
0.959049 | − | 0.283239i | \(-0.0914090\pi\) | |||||||
\(948\) | 4.20510 | − | 27.5135i | 0.136575 | − | 0.893597i | ||||
\(949\) | −15.5979 | − | 58.2123i | −0.506331 | − | 1.88965i | ||||
\(950\) | −7.52350 | + | 0.876836i | −0.244095 | + | 0.0284483i | ||||
\(951\) | −27.7766 | − | 3.40313i | −0.900718 | − | 0.110354i | ||||
\(952\) | −1.56508 | − | 18.0968i | −0.0507246 | − | 0.586521i | ||||
\(953\) | − | 14.4065i | − | 0.466671i | −0.972396 | − | 0.233336i | \(-0.925036\pi\) | ||
0.972396 | − | 0.233336i | \(-0.0749641\pi\) | |||||||
\(954\) | 4.02464 | − | 31.3206i | 0.130303 | − | 1.01404i | ||||
\(955\) | −9.71317 | + | 9.71317i | −0.314311 | + | 0.314311i | ||||
\(956\) | −3.80907 | − | 16.1195i | −0.123194 | − | 0.521341i | ||||
\(957\) | 28.7147 | + | 11.5927i | 0.928216 | + | 0.374740i | ||||
\(958\) | 3.57506 | + | 2.82872i | 0.115505 | + | 0.0913918i | ||||
\(959\) | −0.553259 | + | 0.958272i | −0.0178656 | + | 0.0309442i | ||||
\(960\) | 25.3384 | + | 12.9659i | 0.817793 | + | 0.418472i | ||||
\(961\) | −17.3258 | − | 30.0092i | −0.558897 | − | 0.968038i | ||||
\(962\) | 1.75748 | − | 11.9705i | 0.0566634 | − | 0.385943i | ||||
\(963\) | −13.7370 | + | 24.8130i | −0.442670 | + | 0.799588i | ||||
\(964\) | −24.5211 | − | 7.35890i | −0.789772 | − | 0.237014i | ||||
\(965\) | −1.85903 | − | 0.498125i | −0.0598442 | − | 0.0160352i | ||||
\(966\) | 1.11734 | + | 1.96187i | 0.0359498 | + | 0.0631223i | ||||
\(967\) | 46.2878 | + | 26.7243i | 1.48852 | + | 0.859395i | 0.999914 | − | 0.0131113i | \(-0.00417357\pi\) |
0.488602 | + | 0.872507i | \(0.337507\pi\) | |||||||
\(968\) | 8.88099 | − | 6.20535i | 0.285446 | − | 0.199447i | ||||
\(969\) | 25.6630 | − | 34.0746i | 0.824414 | − | 1.09463i | ||||
\(970\) | −9.57448 | + | 22.1759i | −0.307418 | + | 0.712024i | ||||
\(971\) | −18.6508 | + | 18.6508i | −0.598532 | + | 0.598532i | −0.939922 | − | 0.341389i | \(-0.889102\pi\) |
0.341389 | + | 0.939922i | \(0.389102\pi\) | |||||||
\(972\) | 30.9684 | + | 3.59933i | 0.993313 | + | 0.115448i | ||||
\(973\) | 24.1801 | + | 24.1801i | 0.775180 | + | 0.775180i | ||||
\(974\) | 5.89274 | + | 14.8473i | 0.188816 | + | 0.475738i | ||||
\(975\) | −5.18653 | − | 3.90620i | −0.166102 | − | 0.125098i | ||||
\(976\) | 22.7410 | + | 7.56912i | 0.727922 | + | 0.242282i | ||||
\(977\) | 1.32572 | − | 2.29622i | 0.0424136 | − | 0.0734624i | −0.844039 | − | 0.536281i | \(-0.819829\pi\) |
0.886453 | + | 0.462819i | \(0.153162\pi\) | |||||||
\(978\) | −10.9101 | + | 39.7789i | −0.348868 | + | 1.27199i | ||||
\(979\) | 11.4635 | − | 42.7822i | 0.366374 | − | 1.36733i | ||||
\(980\) | −13.7387 | + | 7.39608i | −0.438868 | + | 0.236259i | ||||
\(981\) | 43.2137 | + | 23.9241i | 1.37971 | + | 0.763837i | ||||
\(982\) | −23.8890 | − | 32.1108i | −0.762328 | − | 1.02470i | ||||
\(983\) | −23.4130 | + | 13.5175i | −0.746760 | + | 0.431142i | −0.824522 | − | 0.565830i | \(-0.808556\pi\) |
0.0777621 | + | 0.996972i | \(0.475223\pi\) | |||||||
\(984\) | −15.7265 | − | 16.8895i | −0.501344 | − | 0.538417i | ||||
\(985\) | −37.2244 | − | 21.4915i | −1.18607 | − | 0.684776i | ||||
\(986\) | −3.92311 | − | 33.6614i | −0.124937 | − | 1.07200i | ||||
\(987\) | 8.09759 | − | 20.0574i | 0.257749 | − | 0.638434i | ||||
\(988\) | −64.1547 | + | 15.1599i | −2.04103 | + | 0.482301i | ||||
\(989\) | −2.47989 | − | 2.47989i | −0.0788560 | − | 0.0788560i | ||||
\(990\) | 14.2630 | + | 18.4690i | 0.453308 | + | 0.586984i | ||||
\(991\) | 5.32341 | 0.169104 | 0.0845519 | − | 0.996419i | \(-0.473054\pi\) | ||||
0.0845519 | + | 0.996419i | \(0.473054\pi\) | |||||||
\(992\) | 44.8727 | + | 9.34325i | 1.42471 | + | 0.296648i | ||||
\(993\) | 4.27599 | − | 34.9010i | 0.135695 | − | 1.10755i | ||||
\(994\) | −15.0496 | − | 11.9078i | −0.477345 | − | 0.377693i | ||||
\(995\) | −4.70199 | + | 1.25989i | −0.149063 | + | 0.0399413i | ||||
\(996\) | −23.1143 | + | 16.9856i | −0.732405 | + | 0.538208i | ||||
\(997\) | −5.87389 | − | 1.57391i | −0.186028 | − | 0.0498461i | 0.164602 | − | 0.986360i | \(-0.447366\pi\) |
−0.350630 | + | 0.936514i | \(0.614033\pi\) | |||||||
\(998\) | −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.13.2 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.17 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.10 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.4 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.15 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.5 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.15 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.1 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.1 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.14 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.4 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.14 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.5 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.10 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.17 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.2 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.15 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.15 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.2 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.4 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.17 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.17 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.4 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.1 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.10 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.10 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.1 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.5 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.14 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.14 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.5 | 72 | 144.11 | even | 12 |