Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
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([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (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: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.19 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.19 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25087 | + | 0.659799i | 0.884496 | + | 0.466548i | ||||
\(3\) | −1.71297 | − | 0.256373i | −0.988985 | − | 0.148017i | ||||
\(4\) | 1.12933 | + | 1.65064i | 0.564665 | + | 0.825320i | ||||
\(5\) | 2.03779 | + | 0.546024i | 0.911327 | + | 0.244189i | 0.683874 | − | 0.729600i | \(-0.260294\pi\) |
0.227452 | + | 0.973789i | \(0.426960\pi\) | |||||||
\(6\) | −1.97354 | − | 1.45091i | −0.805696 | − | 0.592330i | ||||
\(7\) | −0.0638076 | + | 0.110518i | −0.0241170 | + | 0.0417719i | −0.877832 | − | 0.478969i | \(-0.841011\pi\) |
0.853715 | + | 0.520741i | \(0.174344\pi\) | |||||||
\(8\) | 0.323550 | + | 2.80986i | 0.114392 | + | 0.993436i | ||||
\(9\) | 2.86855 | + | 0.878321i | 0.956182 | + | 0.292774i | ||||
\(10\) | 2.18873 | + | 2.02753i | 0.692138 | + | 0.641162i | ||||
\(11\) | −0.678695 | + | 0.181856i | −0.204634 | + | 0.0548316i | −0.359680 | − | 0.933076i | \(-0.617114\pi\) |
0.155046 | + | 0.987907i | \(0.450447\pi\) | |||||||
\(12\) | −1.51133 | − | 3.11703i | −0.436284 | − | 0.899809i | ||||
\(13\) | −1.84311 | − | 0.493860i | −0.511187 | − | 0.136972i | −0.00599967 | − | 0.999982i | \(-0.501910\pi\) |
−0.505187 | + | 0.863010i | \(0.668576\pi\) | |||||||
\(14\) | −0.152734 | + | 0.0961430i | −0.0408200 | + | 0.0256953i | ||||
\(15\) | −3.35069 | − | 1.45776i | −0.865144 | − | 0.376391i | ||||
\(16\) | −1.44923 | + | 3.72824i | −0.362306 | + | 0.932059i | ||||
\(17\) | − | 4.32243i | − | 1.04834i | −0.851612 | − | 0.524172i | \(-0.824375\pi\) | ||
0.851612 | − | 0.524172i | \(-0.175625\pi\) | |||||||
\(18\) | 3.00865 | + | 2.99133i | 0.709146 | + | 0.705062i | ||||
\(19\) | −3.97707 | − | 3.97707i | −0.912401 | − | 0.912401i | 0.0840594 | − | 0.996461i | \(-0.473211\pi\) |
−0.996461 | + | 0.0840594i | \(0.973211\pi\) | |||||||
\(20\) | 1.40005 | + | 3.98030i | 0.313060 | + | 0.890021i | ||||
\(21\) | 0.137635 | − | 0.172956i | 0.0300343 | − | 0.0377420i | ||||
\(22\) | −0.968944 | − | 0.220325i | −0.206580 | − | 0.0469735i | ||||
\(23\) | 6.81589 | − | 3.93516i | 1.42121 | − | 0.820537i | 0.424809 | − | 0.905283i | \(-0.360341\pi\) |
0.996403 | + | 0.0847463i | \(0.0270080\pi\) | |||||||
\(24\) | 0.166142 | − | 4.89616i | 0.0339136 | − | 0.999425i | ||||
\(25\) | −0.475689 | − | 0.274639i | −0.0951377 | − | 0.0549278i | ||||
\(26\) | −1.97963 | − | 1.83383i | −0.388238 | − | 0.359644i | ||||
\(27\) | −4.68856 | − | 2.23996i | −0.902314 | − | 0.431080i | ||||
\(28\) | −0.254485 | + | 0.0194880i | −0.0480932 | + | 0.00368288i | ||||
\(29\) | −0.926957 | + | 0.248377i | −0.172132 | + | 0.0461225i | −0.343855 | − | 0.939023i | \(-0.611733\pi\) |
0.171724 | + | 0.985145i | \(0.445066\pi\) | |||||||
\(30\) | −3.22943 | − | 4.03424i | −0.589611 | − | 0.736548i | ||||
\(31\) | −4.91353 | + | 2.83683i | −0.882496 | + | 0.509509i | −0.871480 | − | 0.490430i | \(-0.836840\pi\) |
−0.0110152 | + | 0.999939i | \(0.503506\pi\) | |||||||
\(32\) | −4.27267 | + | 3.70733i | −0.755309 | + | 0.655369i | ||||
\(33\) | 1.20921 | − | 0.137514i | 0.210496 | − | 0.0239382i | ||||
\(34\) | 2.85194 | − | 5.40679i | 0.489103 | − | 0.927256i | ||||
\(35\) | −0.190372 | + | 0.190372i | −0.0321787 | + | 0.0321787i | ||||
\(36\) | 1.78974 | + | 5.72685i | 0.298291 | + | 0.954475i | ||||
\(37\) | −6.64358 | − | 6.64358i | −1.09220 | − | 1.09220i | −0.995294 | − | 0.0969037i | \(-0.969106\pi\) |
−0.0969037 | − | 0.995294i | \(-0.530894\pi\) | |||||||
\(38\) | −2.35071 | − | 7.59884i | −0.381336 | − | 1.23269i | ||||
\(39\) | 3.03058 | + | 1.31849i | 0.485281 | + | 0.211128i | ||||
\(40\) | −0.874924 | + | 5.90257i | −0.138338 | + | 0.933278i | ||||
\(41\) | 4.61325 | + | 7.99038i | 0.720469 | + | 1.24789i | 0.960812 | + | 0.277200i | \(0.0894066\pi\) |
−0.240344 | + | 0.970688i | \(0.577260\pi\) | |||||||
\(42\) | 0.286278 | − | 0.125533i | 0.0441737 | − | 0.0193702i | ||||
\(43\) | 2.91294 | + | 10.8712i | 0.444219 | + | 1.65785i | 0.717991 | + | 0.696053i | \(0.245062\pi\) |
−0.273772 | + | 0.961795i | \(0.588271\pi\) | |||||||
\(44\) | −1.06665 | − | 0.914906i | −0.160803 | − | 0.137927i | ||||
\(45\) | 5.36590 | + | 3.35613i | 0.799902 | + | 0.500302i | ||||
\(46\) | 11.1222 | − | 0.425234i | 1.63988 | − | 0.0626973i | ||||
\(47\) | 5.92267 | − | 10.2584i | 0.863910 | − | 1.49634i | −0.00421475 | − | 0.999991i | \(-0.501342\pi\) |
0.868125 | − | 0.496345i | \(-0.165325\pi\) | |||||||
\(48\) | 3.43830 | − | 6.01482i | 0.496276 | − | 0.868165i | ||||
\(49\) | 3.49186 | + | 6.04807i | 0.498837 | + | 0.864011i | ||||
\(50\) | −0.413816 | − | 0.657395i | −0.0585224 | − | 0.0929698i | ||||
\(51\) | −1.10816 | + | 7.40421i | −0.155173 | + | 1.03680i | ||||
\(52\) | −1.26629 | − | 3.60004i | −0.175603 | − | 0.499236i | ||||
\(53\) | 0.00259022 | − | 0.00259022i | 0.000355794 | − | 0.000355794i | −0.706929 | − | 0.707285i | \(-0.749920\pi\) |
0.707285 | + | 0.706929i | \(0.249920\pi\) | |||||||
\(54\) | −4.38684 | − | 5.89539i | −0.596973 | − | 0.802262i | ||||
\(55\) | −1.48233 | −0.199878 | ||||||||
\(56\) | −0.331185 | − | 0.143532i | −0.0442565 | − | 0.0191803i | ||||
\(57\) | 5.79299 | + | 7.83221i | 0.767300 | + | 1.03740i | ||||
\(58\) | −1.32338 | − | 0.300919i | −0.173768 | − | 0.0395125i | ||||
\(59\) | −1.09748 | + | 4.09587i | −0.142880 | + | 0.533237i | 0.856960 | + | 0.515382i | \(0.172350\pi\) |
−0.999841 | + | 0.0178541i | \(0.994317\pi\) | |||||||
\(60\) | −1.37780 | − | 7.17707i | −0.177873 | − | 0.926556i | ||||
\(61\) | −1.19213 | − | 4.44908i | −0.152636 | − | 0.569646i | −0.999296 | − | 0.0375117i | \(-0.988057\pi\) |
0.846660 | − | 0.532134i | \(-0.178610\pi\) | |||||||
\(62\) | −8.01790 | + | 0.306548i | −1.01827 | + | 0.0389317i | ||||
\(63\) | −0.280105 | + | 0.260982i | −0.0352900 | + | 0.0328807i | ||||
\(64\) | −7.79063 | + | 1.81826i | −0.973829 | + | 0.227282i | ||||
\(65\) | −3.48621 | − | 2.01276i | −0.432411 | − | 0.249652i | ||||
\(66\) | 1.60329 | + | 0.625822i | 0.197351 | + | 0.0770334i | ||||
\(67\) | −0.538862 | + | 2.01106i | −0.0658325 | + | 0.245690i | −0.990999 | − | 0.133872i | \(-0.957259\pi\) |
0.925166 | + | 0.379563i | \(0.123925\pi\) | |||||||
\(68\) | 7.13478 | − | 4.88146i | 0.865220 | − | 0.591964i | ||||
\(69\) | −12.6843 | + | 4.99340i | −1.52701 | + | 0.601134i | ||||
\(70\) | −0.363737 | + | 0.112522i | −0.0434749 | + | 0.0134490i | ||||
\(71\) | 3.80683i | 0.451788i | 0.974152 | + | 0.225894i | \(0.0725303\pi\) | ||||
−0.974152 | + | 0.225894i | \(0.927470\pi\) | |||||||
\(72\) | −1.53984 | + | 8.34439i | −0.181472 | + | 0.983396i | ||||
\(73\) | − | 1.87674i | − | 0.219656i | −0.993951 | − | 0.109828i | \(-0.964970\pi\) | ||
0.993951 | − | 0.109828i | \(-0.0350300\pi\) | |||||||
\(74\) | −3.92680 | − | 12.6937i | −0.456481 | − | 1.47561i | ||||
\(75\) | 0.744431 | + | 0.592403i | 0.0859595 | + | 0.0684048i | ||||
\(76\) | 2.07328 | − | 11.0561i | 0.237822 | − | 1.26822i | ||||
\(77\) | 0.0232076 | − | 0.0866118i | 0.00264475 | − | 0.00987033i | ||||
\(78\) | 2.92091 | + | 3.64883i | 0.330728 | + | 0.413149i | ||||
\(79\) | 3.00919 | + | 1.73736i | 0.338560 | + | 0.195468i | 0.659635 | − | 0.751586i | \(-0.270711\pi\) |
−0.321075 | + | 0.947054i | \(0.604044\pi\) | |||||||
\(80\) | −4.98892 | + | 6.80604i | −0.557778 | + | 0.760939i | ||||
\(81\) | 7.45710 | + | 5.03901i | 0.828567 | + | 0.559890i | ||||
\(82\) | 0.498509 | + | 13.0387i | 0.0550511 | + | 1.43989i | ||||
\(83\) | −0.394284 | − | 1.47149i | −0.0432783 | − | 0.161517i | 0.940905 | − | 0.338671i | \(-0.109977\pi\) |
−0.984183 | + | 0.177155i | \(0.943311\pi\) | |||||||
\(84\) | 0.440923 | + | 0.0318610i | 0.0481086 | + | 0.00347632i | ||||
\(85\) | 2.36015 | − | 8.80821i | 0.255994 | − | 0.955384i | ||||
\(86\) | −3.52914 | + | 15.5204i | −0.380556 | + | 1.67361i | ||||
\(87\) | 1.65153 | − | 0.187816i | 0.177062 | − | 0.0201360i | ||||
\(88\) | −0.730581 | − | 1.84820i | −0.0778802 | − | 0.197019i | ||||
\(89\) | −10.5967 | −1.12325 | −0.561624 | − | 0.827392i | \(-0.689823\pi\) | ||||
−0.561624 | + | 0.827392i | \(0.689823\pi\) | |||||||
\(90\) | 4.49766 | + | 7.73848i | 0.474095 | + | 0.815708i | ||||
\(91\) | 0.172185 | − | 0.172185i | 0.0180499 | − | 0.0180499i | ||||
\(92\) | 14.1929 | + | 6.80649i | 1.47971 | + | 0.709626i | ||||
\(93\) | 9.14402 | − | 3.59971i | 0.948191 | − | 0.373272i | ||||
\(94\) | 14.1769 | − | 8.92407i | 1.46224 | − | 0.920447i | ||||
\(95\) | −5.93284 | − | 10.2760i | −0.608697 | − | 1.05429i | ||||
\(96\) | 8.26943 | − | 5.25514i | 0.843995 | − | 0.536351i | ||||
\(97\) | 3.31795 | − | 5.74685i | 0.336886 | − | 0.583504i | −0.646959 | − | 0.762525i | \(-0.723960\pi\) |
0.983845 | + | 0.179021i | \(0.0572928\pi\) | |||||||
\(98\) | 0.377331 | + | 9.86925i | 0.0381162 | + | 0.996945i | ||||
\(99\) | −2.10659 | − | 0.0744506i | −0.211721 | − | 0.00748257i | ||||
\(100\) | −0.0838795 | − | 1.09535i | −0.00838795 | − | 0.109535i | ||||
\(101\) | 3.24008 | + | 12.0922i | 0.322400 | + | 1.20321i | 0.916899 | + | 0.399118i | \(0.130684\pi\) |
−0.594499 | + | 0.804096i | \(0.702650\pi\) | |||||||
\(102\) | −6.27145 | + | 8.53051i | −0.620966 | + | 0.844646i | ||||
\(103\) | −4.21850 | − | 7.30665i | −0.415661 | − | 0.719946i | 0.579837 | − | 0.814733i | \(-0.303116\pi\) |
−0.995498 | + | 0.0947868i | \(0.969783\pi\) | |||||||
\(104\) | 0.791339 | − | 5.33867i | 0.0775972 | − | 0.523499i | ||||
\(105\) | 0.374908 | − | 0.277295i | 0.0365873 | − | 0.0270613i | ||||
\(106\) | 0.00494904 | − | 0.00153099i | 0.000480693 | − | 0.000148703i | ||||
\(107\) | 7.25071 | + | 7.25071i | 0.700953 | + | 0.700953i | 0.964615 | − | 0.263662i | \(-0.0849304\pi\) |
−0.263662 | + | 0.964615i | \(0.584930\pi\) | |||||||
\(108\) | −1.59757 | − | 10.2688i | −0.153726 | − | 0.988114i | ||||
\(109\) | 10.2850 | − | 10.2850i | 0.985128 | − | 0.985128i | −0.0147630 | − | 0.999891i | \(-0.504699\pi\) |
0.999891 | + | 0.0147630i | \(0.00469937\pi\) | |||||||
\(110\) | −1.85420 | − | 0.978042i | −0.176791 | − | 0.0932527i | ||||
\(111\) | 9.67702 | + | 13.0835i | 0.918503 | + | 1.24183i | ||||
\(112\) | −0.319566 | − | 0.398055i | −0.0301961 | − | 0.0376127i | ||||
\(113\) | −18.2964 | + | 10.5634i | −1.72118 | + | 0.993722i | −0.804652 | + | 0.593747i | \(0.797648\pi\) |
−0.916526 | + | 0.399976i | \(0.869019\pi\) | |||||||
\(114\) | 2.07856 | + | 13.6193i | 0.194675 | + | 1.27556i | ||||
\(115\) | 16.0380 | − | 4.29738i | 1.49555 | − | 0.400732i | ||||
\(116\) | −1.45682 | − | 1.24957i | −0.135263 | − | 0.116020i | ||||
\(117\) | −4.85328 | − | 3.03550i | −0.448685 | − | 0.280632i | ||||
\(118\) | −4.07526 | + | 4.39926i | −0.375158 | + | 0.404985i | ||||
\(119\) | 0.477707 | + | 0.275804i | 0.0437913 | + | 0.0252829i | ||||
\(120\) | 3.01198 | − | 9.88662i | 0.274955 | − | 0.902521i | ||||
\(121\) | −9.09872 | + | 5.25315i | −0.827157 | + | 0.477559i | ||||
\(122\) | 1.44431 | − | 6.35176i | 0.130761 | − | 0.575061i | ||||
\(123\) | −5.85384 | − | 14.8700i | −0.527823 | − | 1.34078i | ||||
\(124\) | −10.2316 | − | 4.90675i | −0.918823 | − | 0.440639i | ||||
\(125\) | −8.27822 | − | 8.27822i | −0.740426 | − | 0.740426i | ||||
\(126\) | −0.522570 | + | 0.141641i | −0.0465543 | + | 0.0126184i | ||||
\(127\) | 13.1109i | 1.16340i | 0.813403 | + | 0.581700i | \(0.197612\pi\) | ||||
−0.813403 | + | 0.581700i | \(0.802388\pi\) | |||||||
\(128\) | −10.9447 | − | 2.86585i | −0.967386 | − | 0.253308i | ||||
\(129\) | −2.20269 | − | 19.3689i | −0.193936 | − | 1.70534i | ||||
\(130\) | −3.03276 | − | 4.81789i | −0.265990 | − | 0.422557i | ||||
\(131\) | 4.74891 | + | 1.27247i | 0.414914 | + | 0.111176i | 0.460236 | − | 0.887797i | \(-0.347765\pi\) |
−0.0453222 | + | 0.998972i | \(0.514431\pi\) | |||||||
\(132\) | 1.59258 | + | 1.84067i | 0.138616 | + | 0.160210i | ||||
\(133\) | 0.693305 | − | 0.185770i | 0.0601171 | − | 0.0161083i | ||||
\(134\) | −2.00094 | + | 2.16003i | −0.172855 | + | 0.186598i | ||||
\(135\) | −8.33122 | − | 7.12462i | −0.717037 | − | 0.613190i | ||||
\(136\) | 12.1454 | − | 1.39852i | 1.04146 | − | 0.119922i | ||||
\(137\) | 3.41217 | − | 5.91005i | 0.291521 | − | 0.504930i | −0.682648 | − | 0.730747i | \(-0.739172\pi\) |
0.974170 | + | 0.225817i | \(0.0725053\pi\) | |||||||
\(138\) | −19.1610 | − | 2.12302i | −1.63109 | − | 0.180723i | ||||
\(139\) | 10.3427 | + | 2.77132i | 0.877258 | + | 0.235061i | 0.669224 | − | 0.743061i | \(-0.266627\pi\) |
0.208035 | + | 0.978121i | \(0.433293\pi\) | |||||||
\(140\) | −0.529228 | − | 0.0992427i | −0.0447279 | − | 0.00838754i | ||||
\(141\) | −12.7753 | + | 16.0539i | −1.07588 | + | 1.35198i | ||||
\(142\) | −2.51174 | + | 4.76184i | −0.210781 | + | 0.399604i | ||||
\(143\) | 1.34072 | 0.112117 | ||||||||
\(144\) | −7.43176 | + | 9.42173i | −0.619313 | + | 0.785144i | ||||
\(145\) | −2.02456 | −0.168131 | ||||||||
\(146\) | 1.23827 | − | 2.34755i | 0.102480 | − | 0.194285i | ||||
\(147\) | −4.43089 | − | 11.2554i | −0.365453 | − | 0.928330i | ||||
\(148\) | 3.46336 | − | 18.4690i | 0.284687 | − | 1.51814i | ||||
\(149\) | −0.204036 | − | 0.0546714i | −0.0167153 | − | 0.00447885i | 0.250452 | − | 0.968129i | \(-0.419421\pi\) |
−0.267167 | + | 0.963650i | \(0.586088\pi\) | |||||||
\(150\) | 0.540317 | + | 1.23219i | 0.0441167 | + | 0.100608i | ||||
\(151\) | 1.14798 | − | 1.98835i | 0.0934210 | − | 0.161810i | −0.815528 | − | 0.578718i | \(-0.803553\pi\) |
0.908949 | + | 0.416908i | \(0.136886\pi\) | |||||||
\(152\) | 9.88822 | − | 12.4618i | 0.802040 | − | 1.01078i | ||||
\(153\) | 3.79649 | − | 12.3991i | 0.306928 | − | 1.00241i | ||||
\(154\) | 0.0861759 | − | 0.0930274i | 0.00694425 | − | 0.00749636i | ||||
\(155\) | −11.5617 | + | 3.09795i | −0.928658 | + | 0.248833i | ||||
\(156\) | 1.24617 | + | 6.49141i | 0.0997736 | + | 0.519729i | ||||
\(157\) | −16.2150 | − | 4.34480i | −1.29410 | − | 0.346753i | −0.454883 | − | 0.890551i | \(-0.650319\pi\) |
−0.839216 | + | 0.543799i | \(0.816985\pi\) | |||||||
\(158\) | 2.61779 | + | 4.15866i | 0.208260 | + | 0.330845i | ||||
\(159\) | −0.00510103 | + | 0.00377291i | −0.000404538 | + | 0.000299211i | ||||
\(160\) | −10.7311 | + | 5.22176i | −0.848367 | + | 0.412817i | ||||
\(161\) | 1.00437i | 0.0791556i | ||||||||
\(162\) | 6.00310 | + | 11.2233i | 0.471648 | + | 0.881787i | ||||
\(163\) | 0.490399 | + | 0.490399i | 0.0384110 | + | 0.0384110i | 0.726051 | − | 0.687640i | \(-0.241353\pi\) |
−0.687640 | + | 0.726051i | \(0.741353\pi\) | |||||||
\(164\) | −7.97936 | + | 16.6386i | −0.623084 | + | 1.29926i | ||||
\(165\) | 2.53920 | + | 0.380031i | 0.197676 | + | 0.0295854i | ||||
\(166\) | 0.477690 | − | 2.10078i | 0.0370759 | − | 0.163052i | ||||
\(167\) | 9.34175 | − | 5.39346i | 0.722887 | − | 0.417359i | −0.0929276 | − | 0.995673i | \(-0.529622\pi\) |
0.815814 | + | 0.578314i | \(0.196289\pi\) | |||||||
\(168\) | 0.530513 | + | 0.330774i | 0.0409300 | + | 0.0255198i | ||||
\(169\) | −8.10518 | − | 4.67953i | −0.623475 | − | 0.359963i | ||||
\(170\) | 8.76388 | − | 9.46066i | 0.672159 | − | 0.725599i | ||||
\(171\) | −7.91525 | − | 14.9015i | −0.605294 | − | 1.13955i | ||||
\(172\) | −14.6548 | + | 17.0854i | −1.11742 | + | 1.30275i | ||||
\(173\) | 4.61598 | − | 1.23685i | 0.350946 | − | 0.0940358i | −0.0790394 | − | 0.996871i | \(-0.525185\pi\) |
0.429986 | + | 0.902836i | \(0.358519\pi\) | |||||||
\(174\) | 2.18976 | + | 0.854744i | 0.166005 | + | 0.0647980i | ||||
\(175\) | 0.0607051 | − | 0.0350481i | 0.00458888 | − | 0.00264939i | ||||
\(176\) | 0.305581 | − | 2.79388i | 0.0230340 | − | 0.210597i | ||||
\(177\) | 2.93003 | − | 6.73474i | 0.220235 | − | 0.506214i | ||||
\(178\) | −13.2551 | − | 6.99170i | −0.993509 | − | 0.524050i | ||||
\(179\) | 3.52882 | − | 3.52882i | 0.263756 | − | 0.263756i | −0.562822 | − | 0.826578i | \(-0.690284\pi\) |
0.826578 | + | 0.562822i | \(0.190284\pi\) | |||||||
\(180\) | 0.520121 | + | 12.6474i | 0.0387675 | + | 0.942678i | ||||
\(181\) | 7.34860 | + | 7.34860i | 0.546217 | + | 0.546217i | 0.925344 | − | 0.379127i | \(-0.123776\pi\) |
−0.379127 | + | 0.925344i | \(0.623776\pi\) | |||||||
\(182\) | 0.328987 | − | 0.101773i | 0.0243862 | − | 0.00754390i | ||||
\(183\) | 0.901454 | + | 7.92677i | 0.0666374 | + | 0.585964i | ||||
\(184\) | 13.2625 | + | 17.8785i | 0.977726 | + | 1.31802i | ||||
\(185\) | −9.91065 | − | 17.1658i | −0.728646 | − | 1.26205i | ||||
\(186\) | 13.8130 | + | 1.53047i | 1.01282 | + | 0.112219i | ||||
\(187\) | 0.786059 | + | 2.93361i | 0.0574824 | + | 0.214527i | ||||
\(188\) | 23.6215 | − | 1.80889i | 1.72278 | − | 0.131927i | ||||
\(189\) | 0.546722 | − | 0.375244i | 0.0397681 | − | 0.0272950i | ||||
\(190\) | −0.641105 | − | 16.7684i | −0.0465106 | − | 1.21651i | ||||
\(191\) | −2.58888 | + | 4.48407i | −0.187325 | + | 0.324456i | −0.944357 | − | 0.328921i | \(-0.893315\pi\) |
0.757033 | + | 0.653377i | \(0.226648\pi\) | |||||||
\(192\) | 13.8113 | − | 1.11732i | 0.996744 | − | 0.0806354i | ||||
\(193\) | 13.2173 | + | 22.8930i | 0.951401 | + | 1.64787i | 0.742398 | + | 0.669960i | \(0.233689\pi\) |
0.209003 | + | 0.977915i | \(0.432978\pi\) | |||||||
\(194\) | 7.94207 | − | 4.99936i | 0.570208 | − | 0.358933i | ||||
\(195\) | 5.45576 | + | 4.34158i | 0.390695 | + | 0.310907i | ||||
\(196\) | −6.03973 | + | 12.5941i | −0.431410 | + | 0.899577i | ||||
\(197\) | 5.14652 | − | 5.14652i | 0.366674 | − | 0.366674i | −0.499588 | − | 0.866263i | \(-0.666515\pi\) |
0.866263 | + | 0.499588i | \(0.166515\pi\) | |||||||
\(198\) | −2.58594 | − | 1.48306i | −0.183775 | − | 0.105396i | ||||
\(199\) | −1.37436 | −0.0974261 | −0.0487130 | − | 0.998813i | \(-0.515512\pi\) | ||||
−0.0487130 | + | 0.998813i | \(0.515512\pi\) | |||||||
\(200\) | 0.617788 | − | 1.42548i | 0.0436842 | − | 0.100797i | ||||
\(201\) | 1.43864 | − | 3.30674i | 0.101474 | − | 0.233240i | ||||
\(202\) | −3.92549 | + | 17.2635i | −0.276196 | + | 1.21465i | ||||
\(203\) | 0.0316967 | − | 0.118294i | 0.00222468 | − | 0.00830260i | ||||
\(204\) | −13.4732 | + | 6.53263i | −0.943310 | + | 0.457376i | ||||
\(205\) | 5.03789 | + | 18.8017i | 0.351861 | + | 1.31316i | ||||
\(206\) | −0.455852 | − | 11.9230i | −0.0317607 | − | 0.830715i | ||||
\(207\) | 23.0080 | − | 5.30163i | 1.59917 | − | 0.368489i | ||||
\(208\) | 4.51231 | − | 6.15583i | 0.312872 | − | 0.426830i | ||||
\(209\) | 3.42246 | + | 1.97596i | 0.236737 | + | 0.136680i | ||||
\(210\) | 0.651919 | − | 0.0994954i | 0.0449867 | − | 0.00686583i | ||||
\(211\) | −2.98444 | + | 11.1381i | −0.205457 | + | 0.766776i | 0.783853 | + | 0.620947i | \(0.213252\pi\) |
−0.989310 | + | 0.145829i | \(0.953415\pi\) | |||||||
\(212\) | 0.00720073 | + | 0.00135031i | 0.000494548 | + | 9.27394e-5i | ||||
\(213\) | 0.975971 | − | 6.52100i | 0.0668724 | − | 0.446811i | ||||
\(214\) | 4.28566 | + | 13.8537i | 0.292961 | + | 0.947018i | ||||
\(215\) | 23.7438i | 1.61931i | ||||||||
\(216\) | 4.77699 | − | 13.8989i | 0.325033 | − | 0.945703i | ||||
\(217\) | − | 0.724045i | − | 0.0491514i | ||||||
\(218\) | 19.6513 | − | 6.07914i | 1.33095 | − | 0.411732i | ||||
\(219\) | −0.481147 | + | 3.21481i | −0.0325129 | + | 0.217237i | ||||
\(220\) | −1.67404 | − | 2.44680i | −0.112864 | − | 0.164963i | ||||
\(221\) | −2.13468 | + | 7.96672i | −0.143594 | + | 0.535900i | ||||
\(222\) | 3.47218 | + | 22.7506i | 0.233037 | + | 1.52692i | ||||
\(223\) | −17.9819 | − | 10.3819i | −1.20416 | − | 0.695220i | −0.242680 | − | 0.970106i | \(-0.578026\pi\) |
−0.961477 | + | 0.274886i | \(0.911360\pi\) | |||||||
\(224\) | −0.137097 | − | 0.708763i | −0.00916019 | − | 0.0473562i | ||||
\(225\) | −1.12331 | − | 1.20562i | −0.0748876 | − | 0.0803748i | ||||
\(226\) | −29.8560 | + | 1.14149i | −1.98599 | + | 0.0759305i | ||||
\(227\) | 2.05090 | + | 7.65406i | 0.136123 | + | 0.508018i | 0.999991 | + | 0.00429906i | \(0.00136844\pi\) |
−0.863868 | + | 0.503718i | \(0.831965\pi\) | |||||||
\(228\) | −6.38597 | + | 18.4073i | −0.422921 | + | 1.21905i | ||||
\(229\) | −0.120227 | + | 0.448692i | −0.00794481 | + | 0.0296504i | −0.969784 | − | 0.243963i | \(-0.921552\pi\) |
0.961840 | + | 0.273614i | \(0.0882190\pi\) | |||||||
\(230\) | 22.8968 | + | 5.20643i | 1.50977 | + | 0.343302i | ||||
\(231\) | −0.0619589 | + | 0.142414i | −0.00407659 | + | 0.00937014i | ||||
\(232\) | −0.997823 | − | 2.52426i | −0.0655103 | − | 0.165726i | ||||
\(233\) | 9.13737 | 0.598609 | 0.299305 | − | 0.954158i | \(-0.403245\pi\) | ||||
0.299305 | + | 0.954158i | \(0.403245\pi\) | |||||||
\(234\) | −4.06798 | − | 6.99919i | −0.265932 | − | 0.457551i | ||||
\(235\) | 17.6705 | − | 17.6705i | 1.15269 | − | 1.15269i | ||||
\(236\) | −8.00023 | + | 2.81404i | −0.520770 | + | 0.183178i | ||||
\(237\) | −4.70925 | − | 3.74752i | −0.305898 | − | 0.243428i | ||||
\(238\) | 0.415572 | + | 0.660185i | 0.0269375 | + | 0.0427934i | ||||
\(239\) | −3.65824 | − | 6.33626i | −0.236632 | − | 0.409859i | 0.723114 | − | 0.690729i | \(-0.242710\pi\) |
−0.959746 | + | 0.280870i | \(0.909377\pi\) | |||||||
\(240\) | 10.2908 | − | 10.3795i | 0.664266 | − | 0.669996i | ||||
\(241\) | −1.24858 | + | 2.16261i | −0.0804282 | + | 0.139306i | −0.903434 | − | 0.428727i | \(-0.858962\pi\) |
0.823006 | + | 0.568033i | \(0.192295\pi\) | |||||||
\(242\) | −14.8473 | + | 0.567657i | −0.954421 | + | 0.0364904i | ||||
\(243\) | −11.4819 | − | 10.5435i | −0.736567 | − | 0.676365i | ||||
\(244\) | 5.99752 | − | 6.99225i | 0.383952 | − | 0.447633i | ||||
\(245\) | 3.81327 | + | 14.2313i | 0.243621 | + | 0.909206i | ||||
\(246\) | 2.48885 | − | 22.4628i | 0.158683 | − | 1.43217i | ||||
\(247\) | 5.36605 | + | 9.29428i | 0.341434 | + | 0.591381i | ||||
\(248\) | −9.56086 | − | 12.8885i | −0.607115 | − | 0.818419i | ||||
\(249\) | 0.298147 | + | 2.62170i | 0.0188943 | + | 0.166144i | ||||
\(250\) | −4.89298 | − | 15.8169i | −0.309459 | − | 1.00035i | ||||
\(251\) | −2.77626 | − | 2.77626i | −0.175236 | − | 0.175236i | 0.614039 | − | 0.789275i | \(-0.289544\pi\) |
−0.789275 | + | 0.614039i | \(0.789544\pi\) | |||||||
\(252\) | −0.747120 | − | 0.167618i | −0.0470641 | − | 0.0105589i | ||||
\(253\) | −3.91028 | + | 3.91028i | −0.245837 | + | 0.245837i | ||||
\(254\) | −8.65053 | + | 16.3999i | −0.542783 | + | 1.02902i | ||||
\(255\) | −6.30106 | + | 14.4831i | −0.394588 | + | 0.906969i | ||||
\(256\) | −11.7995 | − | 10.8061i | −0.737468 | − | 0.675382i | ||||
\(257\) | −9.61957 | + | 5.55386i | −0.600052 | + | 0.346440i | −0.769062 | − | 0.639174i | \(-0.779276\pi\) |
0.169010 | + | 0.985614i | \(0.445943\pi\) | |||||||
\(258\) | 10.0243 | − | 25.6812i | 0.624088 | − | 1.59884i | ||||
\(259\) | 1.15815 | − | 0.310324i | 0.0719637 | − | 0.0192826i | ||||
\(260\) | −0.614733 | − | 8.02755i | −0.0381241 | − | 0.497847i | ||||
\(261\) | −2.87717 | − | 0.101684i | −0.178093 | − | 0.00629409i | ||||
\(262\) | 5.10067 | + | 4.72501i | 0.315121 | + | 0.291912i | ||||
\(263\) | −16.6320 | − | 9.60247i | −1.02557 | − | 0.592114i | −0.109858 | − | 0.993947i | \(-0.535040\pi\) |
−0.915713 | + | 0.401834i | \(0.868373\pi\) | |||||||
\(264\) | 0.777635 | + | 3.35321i | 0.0478601 | + | 0.206376i | ||||
\(265\) | 0.00669264 | − | 0.00386400i | 0.000411125 | − | 0.000237363i | ||||
\(266\) | 0.989802 | + | 0.225068i | 0.0606887 | + | 0.0137998i | ||||
\(267\) | 18.1519 | + | 2.71671i | 1.11088 | + | 0.166260i | ||||
\(268\) | −3.92809 | + | 1.38169i | −0.239947 | + | 0.0843999i | ||||
\(269\) | 7.66476 | + | 7.66476i | 0.467329 | + | 0.467329i | 0.901048 | − | 0.433719i | \(-0.142799\pi\) |
−0.433719 | + | 0.901048i | \(0.642799\pi\) | |||||||
\(270\) | −5.72042 | − | 14.4089i | −0.348133 | − | 0.876897i | ||||
\(271\) | 12.9801i | 0.788486i | 0.919006 | + | 0.394243i | \(0.128993\pi\) | ||||
−0.919006 | + | 0.394243i | \(0.871007\pi\) | |||||||
\(272\) | 16.1151 | + | 6.26418i | 0.977119 | + | 0.379822i | ||||
\(273\) | −0.339091 | + | 0.250804i | −0.0205227 | + | 0.0151794i | ||||
\(274\) | 8.16761 | − | 5.14133i | 0.493423 | − | 0.310599i | ||||
\(275\) | 0.372792 | + | 0.0998893i | 0.0224802 | + | 0.00602355i | ||||
\(276\) | −22.5671 | − | 15.2980i | −1.35838 | − | 0.920832i | ||||
\(277\) | 23.9833 | − | 6.42631i | 1.44102 | − | 0.386119i | 0.548127 | − | 0.836395i | \(-0.315341\pi\) |
0.892890 | + | 0.450276i | \(0.148674\pi\) | |||||||
\(278\) | 11.1088 | + | 10.2907i | 0.666264 | + | 0.617194i | ||||
\(279\) | −16.5863 | + | 3.82191i | −0.992997 | + | 0.228812i | ||||
\(280\) | −0.596513 | − | 0.473324i | −0.0356485 | − | 0.0282865i | ||||
\(281\) | 3.69120 | − | 6.39334i | 0.220198 | − | 0.381395i | −0.734670 | − | 0.678425i | \(-0.762663\pi\) |
0.954868 | + | 0.297030i | \(0.0959962\pi\) | |||||||
\(282\) | −26.5726 | + | 11.6521i | −1.58237 | + | 0.693872i | ||||
\(283\) | −5.99708 | − | 1.60691i | −0.356490 | − | 0.0955211i | 0.0761294 | − | 0.997098i | \(-0.475744\pi\) |
−0.432619 | + | 0.901577i | \(0.642410\pi\) | |||||||
\(284\) | −6.28371 | + | 4.29917i | −0.372870 | + | 0.255109i | ||||
\(285\) | 7.52830 | + | 19.1235i | 0.445938 | + | 1.13278i | ||||
\(286\) | 1.67706 | + | 0.884606i | 0.0991667 | + | 0.0523078i | ||||
\(287\) | −1.17744 | −0.0695022 | ||||||||
\(288\) | −15.5126 | + | 6.88185i | −0.914088 | + | 0.405517i | ||||
\(289\) | −1.68344 | −0.0990261 | ||||||||
\(290\) | −2.53246 | − | 1.33580i | −0.148711 | − | 0.0784411i | ||||
\(291\) | −7.15689 | + | 8.99356i | −0.419544 | + | 0.527212i | ||||
\(292\) | 3.09783 | − | 2.11946i | 0.181287 | − | 0.124032i | ||||
\(293\) | 24.0140 | + | 6.43453i | 1.40291 | + | 0.375909i | 0.879390 | − | 0.476103i | \(-0.157951\pi\) |
0.523522 | + | 0.852012i | \(0.324618\pi\) | |||||||
\(294\) | 1.88386 | − | 17.0025i | 0.109869 | − | 0.991605i | ||||
\(295\) | −4.47288 | + | 7.74726i | −0.260421 | + | 0.451063i | ||||
\(296\) | 16.5180 | − | 20.8171i | 0.960089 | − | 1.20997i | ||||
\(297\) | 3.58945 | + | 0.667607i | 0.208281 | + | 0.0387385i | ||||
\(298\) | −0.219150 | − | 0.203009i | −0.0126950 | − | 0.0117600i | ||||
\(299\) | −14.5058 | + | 3.88683i | −0.838895 | + | 0.224781i | ||||
\(300\) | −0.137135 | + | 1.89781i | −0.00791750 | + | 0.109570i | ||||
\(301\) | −1.38734 | − | 0.371735i | −0.0799647 | − | 0.0214265i | ||||
\(302\) | 2.74788 | − | 1.72973i | 0.158123 | − | 0.0995347i | ||||
\(303\) | −2.45006 | − | 21.5442i | −0.140753 | − | 1.23768i | ||||
\(304\) | 20.5911 | − | 9.06377i | 1.18098 | − | 0.519843i | ||||
\(305\) | − | 9.71720i | − | 0.556406i | ||||||
\(306\) | 12.9298 | − | 13.0047i | 0.739148 | − | 0.743429i | ||||
\(307\) | −17.3773 | − | 17.3773i | −0.991773 | − | 0.991773i | 0.00819381 | − | 0.999966i | \(-0.497392\pi\) |
−0.999966 | + | 0.00819381i | \(0.997392\pi\) | |||||||
\(308\) | 0.169174 | − | 0.0595060i | 0.00963958 | − | 0.00339067i | ||||
\(309\) | 5.35294 | + | 13.5976i | 0.304518 | + | 0.773541i | ||||
\(310\) | −16.5062 | − | 3.75328i | −0.937487 | − | 0.213172i | ||||
\(311\) | −11.9437 | + | 6.89568i | −0.677264 | + | 0.391018i | −0.798823 | − | 0.601566i | \(-0.794544\pi\) |
0.121560 | + | 0.992584i | \(0.461210\pi\) | |||||||
\(312\) | −2.72423 | + | 8.94211i | −0.154229 | + | 0.506247i | ||||
\(313\) | 17.6368 | + | 10.1826i | 0.996890 | + | 0.575555i | 0.907327 | − | 0.420426i | \(-0.138119\pi\) |
0.0895635 | + | 0.995981i | \(0.471453\pi\) | |||||||
\(314\) | −17.4161 | − | 16.1334i | −0.982848 | − | 0.910461i | ||||
\(315\) | −0.713298 | + | 0.378883i | −0.0401898 | + | 0.0213476i | ||||
\(316\) | 0.530619 | + | 6.92914i | 0.0298497 | + | 0.389795i | ||||
\(317\) | 20.3136 | − | 5.44301i | 1.14092 | − | 0.305710i | 0.361601 | − | 0.932333i | \(-0.382230\pi\) |
0.779322 | + | 0.626623i | \(0.215563\pi\) | |||||||
\(318\) | −0.00887007 | + | 0.00135374i | −0.000497409 | + | 7.59142e-5i | ||||
\(319\) | 0.583952 | − | 0.337145i | 0.0326950 | − | 0.0188765i | ||||
\(320\) | −16.8685 | − | 0.548641i | −0.942976 | − | 0.0306700i | ||||
\(321\) | −10.5614 | − | 14.2792i | −0.589479 | − | 0.796985i | ||||
\(322\) | −0.662684 | + | 1.25633i | −0.0369299 | + | 0.0700128i | ||||
\(323\) | −17.1906 | + | 17.1906i | −0.956511 | + | 0.956511i | ||||
\(324\) | 0.103945 | + | 17.9997i | 0.00577473 | + | 0.999983i | ||||
\(325\) | 0.741113 | + | 0.741113i | 0.0411096 | + | 0.0411096i | ||||
\(326\) | 0.289859 | + | 0.936989i | 0.0160538 | + | 0.0518950i | ||||
\(327\) | −20.2548 | + | 14.9812i | −1.12009 | + | 0.828461i | ||||
\(328\) | −20.9592 | + | 15.5479i | −1.15728 | + | 0.858488i | ||||
\(329\) | 0.755823 | + | 1.30912i | 0.0416699 | + | 0.0721743i | ||||
\(330\) | 2.92545 | + | 2.15073i | 0.161041 | + | 0.118394i | ||||
\(331\) | −4.57199 | − | 17.0629i | −0.251299 | − | 0.937862i | −0.970112 | − | 0.242658i | \(-0.921981\pi\) |
0.718813 | − | 0.695204i | \(-0.244686\pi\) | |||||||
\(332\) | 1.98362 | − | 2.31262i | 0.108865 | − | 0.126921i | ||||
\(333\) | −13.2222 | − | 24.8926i | −0.724573 | − | 1.36411i | ||||
\(334\) | 15.2439 | − | 0.582819i | 0.834108 | − | 0.0318904i | ||||
\(335\) | −2.19618 | + | 3.80389i | −0.119990 | + | 0.207829i | ||||
\(336\) | 0.445356 | + | 0.763786i | 0.0242962 | + | 0.0416679i | ||||
\(337\) | −4.82538 | − | 8.35780i | −0.262855 | − | 0.455279i | 0.704144 | − | 0.710057i | \(-0.251331\pi\) |
−0.966999 | + | 0.254778i | \(0.917997\pi\) | |||||||
\(338\) | −7.05094 | − | 11.2012i | −0.383521 | − | 0.609267i | ||||
\(339\) | 34.0493 | − | 13.4041i | 1.84931 | − | 0.728012i | ||||
\(340\) | 17.2046 | − | 6.05161i | 0.933049 | − | 0.328195i | ||||
\(341\) | 2.81889 | − | 2.81889i | 0.152652 | − | 0.152652i | ||||
\(342\) | −0.0688997 | − | 23.8623i | −0.00372567 | − | 1.29032i | ||||
\(343\) | −1.78454 | −0.0963558 | ||||||||
\(344\) | −29.6042 | + | 11.7023i | −1.59615 | + | 0.630948i | ||||
\(345\) | −28.5744 | + | 3.24956i | −1.53840 | + | 0.174950i | ||||
\(346\) | 6.59004 | + | 1.49849i | 0.354283 | + | 0.0805592i | ||||
\(347\) | 4.93125 | − | 18.4037i | 0.264723 | − | 0.987960i | −0.697696 | − | 0.716393i | \(-0.745792\pi\) |
0.962420 | − | 0.271567i | \(-0.0875418\pi\) | |||||||
\(348\) | 2.17514 | + | 2.51397i | 0.116600 | + | 0.134763i | ||||
\(349\) | 4.68226 | + | 17.4744i | 0.250636 | + | 0.935385i | 0.970467 | + | 0.241236i | \(0.0775527\pi\) |
−0.719831 | + | 0.694150i | \(0.755781\pi\) | |||||||
\(350\) | 0.0990587 | − | 0.00378731i | 0.00529491 | − | 0.000202440i | ||||
\(351\) | 7.53530 | + | 6.44398i | 0.402205 | + | 0.343954i | ||||
\(352\) | 2.22564 | − | 3.29315i | 0.118627 | − | 0.175526i | ||||
\(353\) | 5.65589 | + | 3.26543i | 0.301033 | + | 0.173801i | 0.642907 | − | 0.765944i | \(-0.277728\pi\) |
−0.341874 | + | 0.939746i | \(0.611062\pi\) | |||||||
\(354\) | 8.10865 | − | 6.49102i | 0.430970 | − | 0.344994i | ||||
\(355\) | −2.07862 | + | 7.75752i | −0.110322 | + | 0.411726i | ||||
\(356\) | −11.9672 | − | 17.4914i | −0.634259 | − | 0.927040i | ||||
\(357\) | −0.747590 | − | 0.594916i | −0.0395667 | − | 0.0314863i | ||||
\(358\) | 6.74239 | − | 2.08577i | 0.356346 | − | 0.110236i | ||||
\(359\) | − | 22.8075i | − | 1.20373i | −0.798597 | − | 0.601866i | \(-0.794424\pi\) | ||
0.798597 | − | 0.601866i | \(-0.205576\pi\) | |||||||
\(360\) | −7.69411 | + | 16.1633i | −0.405515 | + | 0.851881i | ||||
\(361\) | 12.6341i | 0.664952i | ||||||||
\(362\) | 4.34351 | + | 14.0407i | 0.228290 | + | 0.737963i | ||||
\(363\) | 16.9326 | − | 6.66583i | 0.888732 | − | 0.349865i | ||||
\(364\) | 0.478669 | + | 0.0897616i | 0.0250891 | + | 0.00470479i | ||||
\(365\) | 1.02475 | − | 3.82440i | 0.0536377 | − | 0.200178i | ||||
\(366\) | −4.10248 | + | 10.5101i | −0.214440 | + | 0.549372i | ||||
\(367\) | −20.7702 | − | 11.9917i | −1.08419 | − | 0.625959i | −0.152169 | − | 0.988355i | \(-0.548626\pi\) |
−0.932025 | + | 0.362395i | \(0.881959\pi\) | |||||||
\(368\) | 4.79343 | + | 31.1142i | 0.249875 | + | 1.62194i | ||||
\(369\) | 6.21519 | + | 26.9727i | 0.323550 | + | 1.40414i | ||||
\(370\) | −1.07095 | − | 28.0111i | −0.0556759 | − | 1.45623i | ||||
\(371\) | 0.000120990 | 0 | 0.000451542i | 6.28150e−6 | 0 | 2.34429e-5i | ||||
\(372\) | 16.2684 | + | 11.0282i | 0.843479 | + | 0.571787i | ||||
\(373\) | 6.20866 | − | 23.1710i | 0.321472 | − | 1.19975i | −0.596338 | − | 0.802733i | \(-0.703378\pi\) |
0.917811 | − | 0.397018i | \(-0.129955\pi\) | |||||||
\(374\) | −0.952341 | + | 4.18820i | −0.0492444 | + | 0.216567i | ||||
\(375\) | 12.0580 | + | 16.3027i | 0.622674 | + | 0.841866i | ||||
\(376\) | 30.7409 | + | 13.3228i | 1.58534 | + | 0.687070i | ||||
\(377\) | 1.83115 | 0.0943089 | ||||||||
\(378\) | 0.931461 | − | 0.108653i | 0.0479092 | − | 0.00558853i | ||||
\(379\) | 9.96634 | − | 9.96634i | 0.511936 | − | 0.511936i | −0.403183 | − | 0.915119i | \(-0.632096\pi\) |
0.915119 | + | 0.403183i | \(0.132096\pi\) | |||||||
\(380\) | 10.2618 | − | 21.3980i | 0.526420 | − | 1.09769i | ||||
\(381\) | 3.36128 | − | 22.4585i | 0.172203 | − | 1.15059i | ||||
\(382\) | −6.19692 | + | 3.90083i | −0.317062 | + | 0.199584i | ||||
\(383\) | 2.30770 | + | 3.99705i | 0.117918 | + | 0.204240i | 0.918942 | − | 0.394392i | \(-0.129045\pi\) |
−0.801024 | + | 0.598632i | \(0.795711\pi\) | |||||||
\(384\) | 18.0133 | + | 7.71506i | 0.919236 | + | 0.393708i | ||||
\(385\) | 0.0945842 | − | 0.163825i | 0.00482046 | − | 0.00834927i | ||||
\(386\) | 1.42826 | + | 37.3568i | 0.0726967 | + | 1.90141i | ||||
\(387\) | −1.19254 | + | 33.7431i | −0.0606202 | + | 1.71526i | ||||
\(388\) | 13.2330 | − | 1.01336i | 0.671806 | − | 0.0514455i | ||||
\(389\) | −3.31091 | − | 12.3565i | −0.167870 | − | 0.626498i | −0.997657 | − | 0.0684178i | \(-0.978205\pi\) |
0.829787 | − | 0.558080i | \(-0.188462\pi\) | |||||||
\(390\) | 3.95985 | + | 9.03043i | 0.200515 | + | 0.457274i | ||||
\(391\) | −17.0095 | − | 29.4612i | −0.860205 | − | 1.48992i | ||||
\(392\) | −15.8645 | + | 11.7685i | −0.801276 | + | 0.594398i | ||||
\(393\) | −7.80852 | − | 3.39719i | −0.393887 | − | 0.171366i | ||||
\(394\) | 9.83328 | − | 3.04194i | 0.495393 | − | 0.153251i | ||||
\(395\) | 5.18345 | + | 5.18345i | 0.260808 | + | 0.260808i | ||||
\(396\) | −2.25615 | − | 3.56131i | −0.113376 | − | 0.178962i | ||||
\(397\) | −3.70313 | + | 3.70313i | −0.185855 | + | 0.185855i | −0.793901 | − | 0.608047i | \(-0.791953\pi\) |
0.608047 | + | 0.793901i | \(0.291953\pi\) | |||||||
\(398\) | −1.71915 | − | 0.906804i | −0.0861730 | − | 0.0454540i | ||||
\(399\) | −1.23524 | + | 0.140475i | −0.0618392 | + | 0.00703252i | ||||
\(400\) | 1.71330 | − | 1.37547i | 0.0856650 | − | 0.0687733i | ||||
\(401\) | 11.5871 | − | 6.68983i | 0.578633 | − | 0.334074i | −0.181957 | − | 0.983307i | \(-0.558243\pi\) |
0.760590 | + | 0.649232i | \(0.224910\pi\) | |||||||
\(402\) | 3.98133 | − | 3.18708i | 0.198571 | − | 0.158957i | ||||
\(403\) | 10.4572 | − | 2.80199i | 0.520908 | − | 0.139577i | ||||
\(404\) | −16.3007 | + | 19.0043i | −0.810989 | + | 0.945497i | ||||
\(405\) | 12.4446 | + | 14.3402i | 0.618376 | + | 0.712570i | ||||
\(406\) | 0.117699 | − | 0.127056i | 0.00584128 | − | 0.00630570i | ||||
\(407\) | 5.71713 | + | 3.30079i | 0.283388 | + | 0.163614i | ||||
\(408\) | −21.1633 | − | 0.718138i | −1.04774 | − | 0.0355531i | ||||
\(409\) | 24.1053 | − | 13.9172i | 1.19193 | − | 0.688161i | 0.233185 | − | 0.972432i | \(-0.425085\pi\) |
0.958744 | + | 0.284272i | \(0.0917518\pi\) | |||||||
\(410\) | −6.10359 | + | 26.8423i | −0.301435 | + | 1.32565i | ||||
\(411\) | −7.36013 | + | 9.24896i | −0.363048 | + | 0.456217i | ||||
\(412\) | 7.29658 | − | 15.2148i | 0.359477 | − | 0.749582i | ||||
\(413\) | −0.382639 | − | 0.382639i | −0.0188285 | − | 0.0188285i | ||||
\(414\) | 32.2780 | + | 8.54904i | 1.58638 | + | 0.420162i | ||||
\(415\) | − | 3.21387i | − | 0.157763i | ||||||
\(416\) | 9.70590 | − | 4.72290i | 0.475871 | − | 0.231559i | ||||
\(417\) | −17.0063 | − | 7.39880i | −0.832802 | − | 0.362321i | ||||
\(418\) | 2.97731 | + | 4.72980i | 0.145625 | + | 0.231342i | ||||
\(419\) | 9.97902 | + | 2.67387i | 0.487507 | + | 0.130627i | 0.494196 | − | 0.869350i | \(-0.335462\pi\) |
−0.00668892 | + | 0.999978i | \(0.502129\pi\) | |||||||
\(420\) | 0.881110 | + | 0.305680i | 0.0429938 | + | 0.0149157i | ||||
\(421\) | −29.8528 | + | 7.99904i | −1.45494 | + | 0.389849i | −0.897738 | − | 0.440529i | \(-0.854791\pi\) |
−0.557199 | + | 0.830379i | \(0.688124\pi\) | |||||||
\(422\) | −11.0820 | + | 11.9631i | −0.539464 | + | 0.582354i | ||||
\(423\) | 25.9996 | − | 24.2246i | 1.26414 | − | 1.17784i | ||||
\(424\) | 0.00811622 | + | 0.00644009i | 0.000394158 | + | 0.000312758i | ||||
\(425\) | −1.18711 | + | 2.05613i | −0.0575833 | + | 0.0997371i | ||||
\(426\) | 5.52336 | − | 7.51295i | 0.267608 | − | 0.364004i | ||||
\(427\) | 0.567770 | + | 0.152134i | 0.0274763 | + | 0.00736226i | ||||
\(428\) | −3.77987 | + | 20.1568i | −0.182707 | + | 0.974314i | ||||
\(429\) | −2.29662 | − | 0.343725i | −0.110882 | − | 0.0165952i | ||||
\(430\) | −15.6661 | + | 29.7003i | −0.755488 | + | 1.43228i | ||||
\(431\) | 14.8449 | 0.715053 | 0.357526 | − | 0.933903i | \(-0.383620\pi\) | ||||
0.357526 | + | 0.933903i | \(0.383620\pi\) | |||||||
\(432\) | 15.1459 | − | 14.2338i | 0.728706 | − | 0.684826i | ||||
\(433\) | −32.1617 | −1.54559 | −0.772796 | − | 0.634654i | \(-0.781143\pi\) | ||||
−0.772796 | + | 0.634654i | \(0.781143\pi\) | |||||||
\(434\) | 0.477724 | − | 0.905683i | 0.0229315 | − | 0.0434742i | ||||
\(435\) | 3.46802 | + | 0.519044i | 0.166279 | + | 0.0248863i | ||||
\(436\) | 28.5921 | + | 5.36169i | 1.36931 | + | 0.256778i | ||||
\(437\) | −42.7576 | − | 11.4569i | −2.04537 | − | 0.548056i | ||||
\(438\) | −2.72298 | + | 3.70383i | −0.130109 | + | 0.176976i | ||||
\(439\) | −0.140035 | + | 0.242548i | −0.00668352 | + | 0.0115762i | −0.869348 | − | 0.494201i | \(-0.835461\pi\) |
0.862664 | + | 0.505777i | \(0.168794\pi\) | |||||||
\(440\) | −0.479609 | − | 4.16515i | −0.0228644 | − | 0.198566i | ||||
\(441\) | 4.70440 | + | 20.4161i | 0.224019 | + | 0.972197i | ||||
\(442\) | −7.92663 | + | 8.55684i | −0.377031 | + | 0.407007i | ||||
\(443\) | −24.2588 | + | 6.50011i | −1.15257 | + | 0.308830i | −0.783994 | − | 0.620768i | \(-0.786821\pi\) |
−0.368574 | + | 0.929598i | \(0.620154\pi\) | |||||||
\(444\) | −10.6676 | + | 30.7489i | −0.506261 | + | 1.45928i | ||||
\(445\) | −21.5938 | − | 5.78605i | −1.02365 | − | 0.274285i | ||||
\(446\) | −15.6430 | − | 24.8507i | −0.740717 | − | 1.17672i | ||||
\(447\) | 0.335492 | + | 0.145960i | 0.0158682 | + | 0.00690367i | ||||
\(448\) | 0.296151 | − | 0.977024i | 0.0139918 | − | 0.0461601i | ||||
\(449\) | − | 14.2885i | − | 0.674318i | −0.941448 | − | 0.337159i | \(-0.890534\pi\) | ||
0.941448 | − | 0.337159i | \(-0.109466\pi\) | |||||||
\(450\) | −0.609646 | − | 2.24923i | −0.0287390 | − | 0.106030i | ||||
\(451\) | −4.58408 | − | 4.58408i | −0.215856 | − | 0.215856i | ||||
\(452\) | −38.0990 | − | 18.2711i | −1.79203 | − | 0.859402i | ||||
\(453\) | −2.47621 | + | 3.11168i | −0.116343 | + | 0.146200i | ||||
\(454\) | −2.48474 | + | 10.9274i | −0.116615 | + | 0.512847i | ||||
\(455\) | 0.444893 | − | 0.256859i | 0.0208569 | − | 0.0120417i | ||||
\(456\) | −20.1331 | + | 18.8116i | −0.942819 | + | 0.880934i | ||||
\(457\) | −24.1097 | − | 13.9198i | −1.12781 | − | 0.651139i | −0.184424 | − | 0.982847i | \(-0.559042\pi\) |
−0.943382 | + | 0.331708i | \(0.892375\pi\) | |||||||
\(458\) | −0.446434 | + | 0.481928i | −0.0208605 | + | 0.0225190i | ||||
\(459\) | −9.68207 | + | 20.2660i | −0.451921 | + | 0.945935i | ||||
\(460\) | 25.2057 | + | 21.6199i | 1.17522 | + | 1.00803i | ||||
\(461\) | 16.1887 | − | 4.33776i | 0.753985 | − | 0.202030i | 0.138700 | − | 0.990334i | \(-0.455708\pi\) |
0.615285 | + | 0.788305i | \(0.289041\pi\) | |||||||
\(462\) | −0.171467 | + | 0.137260i | −0.00797735 | + | 0.00638592i | ||||
\(463\) | 26.1951 | − | 15.1238i | 1.21739 | − | 0.702861i | 0.253032 | − | 0.967458i | \(-0.418572\pi\) |
0.964359 | + | 0.264597i | \(0.0852389\pi\) | |||||||
\(464\) | 0.417361 | − | 3.81587i | 0.0193755 | − | 0.177147i | ||||
\(465\) | 20.5991 | − | 2.34259i | 0.955261 | − | 0.108635i | ||||
\(466\) | 11.4296 | + | 6.02883i | 0.529467 | + | 0.279280i | ||||
\(467\) | 15.9369 | − | 15.9369i | 0.737469 | − | 0.737469i | −0.234618 | − | 0.972088i | \(-0.575384\pi\) |
0.972088 | + | 0.234618i | \(0.0753840\pi\) | |||||||
\(468\) | −0.470432 | − | 11.4391i | −0.0217457 | − | 0.528772i | ||||
\(469\) | −0.187875 | − | 0.187875i | −0.00867527 | − | 0.00867527i | ||||
\(470\) | 33.7623 | − | 10.4444i | 1.55734 | − | 0.481765i | ||||
\(471\) | 26.6620 | + | 11.5996i | 1.22852 | + | 0.534482i | ||||
\(472\) | −11.8639 | − | 1.75856i | −0.546081 | − | 0.0809443i | ||||
\(473\) | −3.95399 | − | 6.84851i | −0.181805 | − | 0.314895i | ||||
\(474\) | −3.41802 | − | 7.79480i | −0.156995 | − | 0.358027i | ||||
\(475\) | 0.799588 | + | 2.98410i | 0.0366876 | + | 0.136920i | ||||
\(476\) | 0.0842354 | + | 1.10000i | 0.00386092 | + | 0.0504183i | ||||
\(477\) | 0.00970520 | − | 0.00515511i | 0.000444371 | − | 0.000236036i | ||||
\(478\) | −0.395311 | − | 10.3395i | −0.0180811 | − | 0.472919i | ||||
\(479\) | −14.8100 | + | 25.6516i | −0.676684 | + | 1.17205i | 0.299289 | + | 0.954163i | \(0.403251\pi\) |
−0.975973 | + | 0.217889i | \(0.930083\pi\) | |||||||
\(480\) | 19.7208 | − | 6.19356i | 0.900126 | − | 0.282696i | ||||
\(481\) | 8.96385 | + | 15.5258i | 0.408716 | + | 0.707917i | ||||
\(482\) | −2.98869 | + | 1.88132i | −0.136131 | + | 0.0856916i | ||||
\(483\) | 0.257494 | − | 1.72046i | 0.0117164 | − | 0.0782837i | ||||
\(484\) | −18.9465 | − | 9.08618i | −0.861206 | − | 0.413008i | ||||
\(485\) | 9.89919 | − | 9.89919i | 0.449499 | − | 0.449499i | ||||
\(486\) | −7.40579 | − | 20.7643i | −0.335933 | − | 0.941886i | ||||
\(487\) | 25.6320 | 1.16150 | 0.580749 | − | 0.814083i | \(-0.302760\pi\) | ||||
0.580749 | + | 0.814083i | \(0.302760\pi\) | |||||||
\(488\) | 12.1156 | − | 4.78921i | 0.548446 | − | 0.216797i | ||||
\(489\) | −0.714315 | − | 0.965765i | −0.0323024 | − | 0.0436734i | ||||
\(490\) | −4.61993 | + | 20.3175i | −0.208707 | + | 0.917850i | ||||
\(491\) | −1.40692 | + | 5.25069i | −0.0634933 | + | 0.236960i | −0.990379 | − | 0.138385i | \(-0.955809\pi\) |
0.926885 | + | 0.375345i | \(0.122476\pi\) | |||||||
\(492\) | 17.9341 | − | 26.4558i | 0.808533 | − | 1.19272i | ||||
\(493\) | 1.07360 | + | 4.00671i | 0.0483523 | + | 0.180453i | ||||
\(494\) | 0.579857 | + | 15.1664i | 0.0260890 | + | 0.682369i | ||||
\(495\) | −4.25214 | − | 1.30196i | −0.191119 | − | 0.0585190i | ||||
\(496\) | −3.45555 | − | 22.4300i | −0.155159 | − | 1.00714i | ||||
\(497\) | −0.420724 | − | 0.242905i | −0.0188720 | − | 0.0108958i | ||||
\(498\) | −1.35685 | + | 3.47611i | −0.0608021 | + | 0.155768i | ||||
\(499\) | 5.78179 | − | 21.5779i | 0.258829 | − | 0.965961i | −0.707092 | − | 0.707122i | \(-0.749993\pi\) |
0.965920 | − | 0.258840i | \(-0.0833401\pi\) | |||||||
\(500\) | 4.31551 | − | 23.0132i | 0.192996 | − | 1.02918i | ||||
\(501\) | −17.3849 | + | 6.84387i | −0.776700 | + | 0.305762i | ||||
\(502\) | −1.64096 | − | 5.30451i | −0.0732395 | − | 0.236752i | ||||
\(503\) | − | 24.7337i | − | 1.10282i | −0.834235 | − | 0.551410i | \(-0.814090\pi\) | ||
0.834235 | − | 0.551410i | \(-0.185910\pi\) | |||||||
\(504\) | −0.823952 | − | 0.702616i | −0.0367018 | − | 0.0312970i | ||||
\(505\) | 26.4104i | 1.17525i | ||||||||
\(506\) | −7.47123 | + | 2.31124i | −0.332137 | + | 0.102747i | ||||
\(507\) | 12.6842 | + | 10.0938i | 0.563327 | + | 0.448284i | ||||
\(508\) | −21.6413 | + | 14.8065i | −0.960178 | + | 0.656932i | ||||
\(509\) | −2.31048 | + | 8.62284i | −0.102410 | + | 0.382201i | −0.998039 | − | 0.0626029i | \(-0.980060\pi\) |
0.895628 | + | 0.444804i | \(0.146726\pi\) | |||||||
\(510\) | −17.4377 | + | 13.9590i | −0.772156 | + | 0.618116i | ||||
\(511\) | 0.207414 | + | 0.119751i | 0.00917545 | + | 0.00529745i | ||||
\(512\) | −7.62971 | − | 21.3023i | −0.337189 | − | 0.941437i | ||||
\(513\) | 9.73824 | + | 27.5552i | 0.429954 | + | 1.21659i | ||||
\(514\) | −15.6972 | + | 0.600152i | −0.692375 | + | 0.0264716i | ||||
\(515\) | −4.60680 | − | 17.1928i | −0.203000 | − | 0.757606i | ||||
\(516\) | 29.4836 | − | 25.5097i | 1.29794 | − | 1.12300i | ||||
\(517\) | −2.15414 | + | 8.03937i | −0.0947391 | + | 0.353571i | ||||
\(518\) | 1.65344 | + | 0.375970i | 0.0726479 | + | 0.0165192i | ||||
\(519\) | −8.22413 | + | 0.935271i | −0.360999 | + | 0.0410538i | ||||
\(520\) | 4.52762 | − | 10.4470i | 0.198549 | − | 0.458131i | ||||
\(521\) | 14.1129 | 0.618299 | 0.309149 | − | 0.951013i | \(-0.399956\pi\) | ||||
0.309149 | + | 0.951013i | \(0.399956\pi\) | |||||||
\(522\) | −3.53187 | − | 2.02555i | −0.154586 | − | 0.0886559i | ||||
\(523\) | −27.5776 | + | 27.5776i | −1.20588 | + | 1.20588i | −0.233534 | + | 0.972349i | \(0.575029\pi\) |
−0.972349 | + | 0.233534i | \(0.924971\pi\) | |||||||
\(524\) | 3.26270 | + | 9.27577i | 0.142532 | + | 0.405214i | ||||
\(525\) | −0.112972 | + | 0.0444733i | −0.00493048 | + | 0.00194097i | ||||
\(526\) | −14.4687 | − | 22.9852i | −0.630863 | − | 1.00220i | ||||
\(527\) | 12.2620 | + | 21.2384i | 0.534141 | + | 0.925159i | ||||
\(528\) | −1.23973 | + | 4.70750i | −0.0539523 | + | 0.204868i | ||||
\(529\) | 19.4709 | − | 33.7246i | 0.846561 | − | 1.46629i | ||||
\(530\) | 0.0109211 | 0.000417544i | 0.000474380 | 1.81370e-5i | ||||||
\(531\) | −6.74567 | + | 10.7852i | −0.292737 | + | 0.468039i | ||||
\(532\) | 1.08961 | + | 0.934600i | 0.0472406 | + | 0.0405201i | ||||
\(533\) | −4.55660 | − | 17.0054i | −0.197368 | − | 0.736588i | ||||
\(534\) | 20.9131 | + | 15.3748i | 0.904997 | + | 0.665334i | ||||
\(535\) | 10.8164 | + | 18.7345i | 0.467632 | + | 0.809962i | ||||
\(536\) | −5.82515 | − | 0.863450i | −0.251608 | − | 0.0372953i | ||||
\(537\) | −6.94946 | + | 5.14007i | −0.299891 | + | 0.221810i | ||||
\(538\) | 4.53038 | + | 14.6448i | 0.195319 | + | 0.631381i | ||||
\(539\) | −3.46978 | − | 3.46978i | −0.149454 | − | 0.149454i | ||||
\(540\) | 2.35149 | − | 21.7979i | 0.101192 | − | 0.938032i | ||||
\(541\) | 7.82995 | − | 7.82995i | 0.336636 | − | 0.336636i | −0.518464 | − | 0.855100i | \(-0.673496\pi\) |
0.855100 | + | 0.518464i | \(0.173496\pi\) | |||||||
\(542\) | −8.56427 | + | 16.2364i | −0.367867 | + | 0.697412i | ||||
\(543\) | −10.7040 | − | 14.4719i | −0.459351 | − | 0.621050i | ||||
\(544\) | 16.0247 | + | 18.4684i | 0.687052 | + | 0.791824i | ||||
\(545\) | 26.5746 | − | 15.3429i | 1.13833 | − | 0.657216i | ||||
\(546\) | −0.589638 | + | 0.0899901i | −0.0252342 | + | 0.00385122i | ||||
\(547\) | −21.7416 | + | 5.82566i | −0.929606 | + | 0.249087i | −0.691686 | − | 0.722198i | \(-0.743132\pi\) |
−0.237919 | + | 0.971285i | \(0.576465\pi\) | |||||||
\(548\) | 13.6088 | − | 1.04214i | 0.581340 | − | 0.0445178i | ||||
\(549\) | 0.488049 | − | 13.8094i | 0.0208294 | − | 0.589373i | ||||
\(550\) | 0.400406 | + | 0.370916i | 0.0170734 | + | 0.0158159i | ||||
\(551\) | 4.67438 | + | 2.69876i | 0.199135 | + | 0.114971i | ||||
\(552\) | −18.1348 | − | 34.0255i | −0.771866 | − | 1.44822i | ||||
\(553\) | −0.384019 | + | 0.221713i | −0.0163301 | + | 0.00942821i | ||||
\(554\) | 34.2400 | + | 7.78571i | 1.45472 | + | 0.330783i | ||||
\(555\) | 12.5758 | + | 31.9453i | 0.533814 | + | 1.35600i | ||||
\(556\) | 7.10589 | + | 20.2019i | 0.301357 | + | 0.856750i | ||||
\(557\) | −25.5918 | − | 25.5918i | −1.08436 | − | 1.08436i | −0.996097 | − | 0.0882628i | \(-0.971868\pi\) |
−0.0882628 | − | 0.996097i | \(-0.528132\pi\) | |||||||
\(558\) | −23.2690 | − | 6.16294i | −0.985053 | − | 0.260898i | ||||
\(559\) | − | 21.4755i | − | 0.908315i | ||||||
\(560\) | −0.433859 | − | 0.985643i | −0.0183339 | − | 0.0416510i | ||||
\(561\) | −0.594397 | − | 5.22672i | −0.0250955 | − | 0.220672i | ||||
\(562\) | 8.83552 | − | 5.56176i | 0.372704 | − | 0.234609i | ||||
\(563\) | 11.3728 | + | 3.04735i | 0.479308 | + | 0.128430i | 0.490381 | − | 0.871508i | \(-0.336858\pi\) |
−0.0110721 | + | 0.999939i | \(0.503524\pi\) | |||||||
\(564\) | −40.9268 | − | 2.95736i | −1.72333 | − | 0.124527i | ||||
\(565\) | −43.0520 | + | 11.5357i | −1.81121 | + | 0.485313i | ||||
\(566\) | −6.44131 | − | 5.96690i | −0.270748 | − | 0.250808i | ||||
\(567\) | −1.03272 | + | 0.502617i | −0.0433702 | + | 0.0211079i | ||||
\(568\) | −10.6967 | + | 1.23170i | −0.448822 | + | 0.0516810i | ||||
\(569\) | 0.819418 | − | 1.41927i | 0.0343518 | − | 0.0594990i | −0.848338 | − | 0.529454i | \(-0.822397\pi\) |
0.882690 | + | 0.469955i | \(0.155730\pi\) | |||||||
\(570\) | −3.20077 | + | 28.8881i | −0.134066 | + | 1.20999i | ||||
\(571\) | −32.7015 | − | 8.76233i | −1.36851 | − | 0.366692i | −0.501578 | − | 0.865112i | \(-0.667247\pi\) |
−0.866936 | + | 0.498420i | \(0.833914\pi\) | |||||||
\(572\) | 1.51412 | + | 2.21305i | 0.0633083 | + | 0.0925321i | ||||
\(573\) | 5.58427 | − | 7.01737i | 0.233286 | − | 0.293155i | ||||
\(574\) | −1.47282 | − | 0.776875i | −0.0614744 | − | 0.0324261i | ||||
\(575\) | −4.32299 | −0.180281 | ||||||||
\(576\) | −23.9448 | − | 1.62692i | −0.997700 | − | 0.0677881i | ||||
\(577\) | −16.0429 | −0.667873 | −0.333936 | − | 0.942596i | \(-0.608377\pi\) | ||||
−0.333936 | + | 0.942596i | \(0.608377\pi\) | |||||||
\(578\) | −2.10576 | − | 1.11073i | −0.0875882 | − | 0.0462005i | ||||
\(579\) | −16.7717 | − | 42.6036i | −0.697007 | − | 1.77055i | ||||
\(580\) | −2.28640 | − | 3.34182i | −0.0949376 | − | 0.138762i | ||||
\(581\) | 0.187784 | + | 0.0503166i | 0.00779060 | + | 0.00208749i | ||||
\(582\) | −14.8862 | + | 6.52763i | −0.617055 | + | 0.270579i | ||||
\(583\) | −0.00128692 | + | 0.00222901i | −5.32988e−5 | + | 9.23163e-5i | ||||
\(584\) | 5.27339 | − | 0.607220i | 0.218214 | − | 0.0251269i | ||||
\(585\) | −8.23249 | − | 8.83571i | −0.340372 | − | 0.365312i | ||||
\(586\) | 25.7928 | + | 23.8931i | 1.06549 | + | 0.987016i | ||||
\(587\) | 36.9837 | − | 9.90974i | 1.52648 | − | 0.409019i | 0.604611 | − | 0.796521i | \(-0.293329\pi\) |
0.921869 | + | 0.387502i | \(0.126662\pi\) | |||||||
\(588\) | 13.5747 | − | 20.0249i | 0.559810 | − | 0.825812i | ||||
\(589\) | 30.8237 | + | 8.25918i | 1.27007 | + | 0.340313i | ||||
\(590\) | −10.7066 | + | 6.73958i | −0.440784 | + | 0.277464i | ||||
\(591\) | −10.1353 | + | 7.49641i | −0.416910 | + | 0.308361i | ||||
\(592\) | 34.3969 | − | 15.1408i | 1.41370 | − | 0.622282i | ||||
\(593\) | 32.2597i | 1.32475i | 0.749173 | + | 0.662374i | \(0.230451\pi\) | ||||
−0.749173 | + | 0.662374i | \(0.769549\pi\) | |||||||
\(594\) | 4.04943 | + | 3.20340i | 0.166150 | + | 0.131437i | ||||
\(595\) | 0.822870 | + | 0.822870i | 0.0337344 | + | 0.0337344i | ||||
\(596\) | −0.140182 | − | 0.398533i | −0.00574206 | − | 0.0163245i | ||||
\(597\) | 2.35425 | + | 0.352351i | 0.0963529 | + | 0.0144207i | ||||
\(598\) | −20.7094 | − | 4.70904i | −0.846870 | − | 0.192567i | ||||
\(599\) | 11.7417 | − | 6.77905i | 0.479751 | − | 0.276984i | −0.240562 | − | 0.970634i | \(-0.577332\pi\) |
0.720313 | + | 0.693649i | \(0.243998\pi\) | |||||||
\(600\) | −1.42371 | + | 2.28342i | −0.0581227 | + | 0.0932202i | ||||
\(601\) | −0.496416 | − | 0.286606i | −0.0202492 | − | 0.0116909i | 0.489841 | − | 0.871812i | \(-0.337055\pi\) |
−0.510090 | + | 0.860121i | \(0.670388\pi\) | |||||||
\(602\) | −1.49010 | − | 1.38035i | −0.0607319 | − | 0.0562590i | ||||
\(603\) | −3.31211 | + | 5.29553i | −0.134880 | + | 0.215651i | ||||
\(604\) | 4.57850 | − | 0.350612i | 0.186297 | − | 0.0142662i | ||||
\(605\) | −21.4096 | + | 5.73669i | −0.870425 | + | 0.233230i | ||||
\(606\) | 11.1501 | − | 28.5655i | 0.452944 | − | 1.16039i | ||||
\(607\) | 29.1103 | − | 16.8068i | 1.18155 | − | 0.682168i | 0.225178 | − | 0.974318i | \(-0.427704\pi\) |
0.956373 | + | 0.292149i | \(0.0943705\pi\) | |||||||
\(608\) | 31.7370 | + | 2.24843i | 1.28710 | + | 0.0911858i | ||||
\(609\) | −0.0846230 | + | 0.194508i | −0.00342910 | + | 0.00788185i | ||||
\(610\) | 6.41140 | − | 12.1549i | 0.259590 | − | 0.492138i | ||||
\(611\) | −15.9823 | + | 15.9823i | −0.646576 | + | 0.646576i | ||||
\(612\) | 24.7539 | − | 7.73605i | 1.00062 | − | 0.312711i | ||||
\(613\) | 26.5621 | + | 26.5621i | 1.07283 | + | 1.07283i | 0.997130 | + | 0.0757042i | \(0.0241205\pi\) |
0.0757042 | + | 0.997130i | \(0.475880\pi\) | |||||||
\(614\) | −10.2711 | − | 33.2021i | −0.414509 | − | 1.33993i | ||||
\(615\) | −3.80951 | − | 33.4983i | −0.153614 | − | 1.35078i | ||||
\(616\) | 0.250876 | + | 0.0371868i | 0.0101081 | + | 0.00149830i | ||||
\(617\) | 11.8730 | + | 20.5647i | 0.477991 | + | 0.827904i | 0.999682 | − | 0.0252305i | \(-0.00803196\pi\) |
−0.521691 | + | 0.853134i | \(0.674699\pi\) | |||||||
\(618\) | −2.27588 | + | 20.5406i | −0.0915493 | + | 0.826266i | ||||
\(619\) | 4.60330 | + | 17.1798i | 0.185022 | + | 0.690513i | 0.994626 | + | 0.103535i | \(0.0330155\pi\) |
−0.809603 | + | 0.586977i | \(0.800318\pi\) | |||||||
\(620\) | −18.1706 | − | 15.5856i | −0.729748 | − | 0.625933i | ||||
\(621\) | −40.7713 | + | 3.18290i | −1.63610 | + | 0.127725i | ||||
\(622\) | −19.4897 | + | 0.745149i | −0.781466 | + | 0.0298778i | ||||
\(623\) | 0.676151 | − | 1.17113i | 0.0270894 | − | 0.0469202i | ||||
\(624\) | −9.30765 | + | 9.38793i | −0.372604 | + | 0.375818i | ||||
\(625\) | −10.9760 | − | 19.0109i | −0.439038 | − | 0.760436i | ||||
\(626\) | 15.3428 | + | 24.3738i | 0.613221 | + | 0.974173i | ||||
\(627\) | −5.35600 | − | 4.26219i | −0.213898 | − | 0.170216i | ||||
\(628\) | −11.1404 | − | 31.6719i | −0.444550 | − | 1.26384i | ||||
\(629\) | −28.7164 | + | 28.7164i | −1.14500 | + | 1.14500i | ||||
\(630\) | −1.14223 | + | 0.00329805i | −0.0455074 | + | 0.000131398i | ||||
\(631\) | 16.0572 | 0.639228 | 0.319614 | − | 0.947548i | \(-0.396447\pi\) | ||||
0.319614 | + | 0.947548i | \(0.396447\pi\) | |||||||
\(632\) | −3.90811 | + | 9.01753i | −0.155456 | + | 0.358698i | ||||
\(633\) | 7.96776 | − | 18.3141i | 0.316690 | − | 0.727919i | ||||
\(634\) | 29.0008 | + | 6.59441i | 1.15177 | + | 0.261897i | ||||
\(635\) | −7.15884 | + | 26.7172i | −0.284090 | + | 1.06024i | ||||
\(636\) | −0.0119885 | − | 0.00415911i | −0.000475374 | − | 0.000164920i | ||||
\(637\) | −3.44897 | − | 12.8717i | −0.136653 | − | 0.509997i | ||||
\(638\) | 0.952893 | − | 0.0364320i | 0.0377254 | − | 0.00144235i | ||||
\(639\) | −3.34362 | + | 10.9201i | −0.132272 | + | 0.431991i | ||||
\(640\) | −20.7382 | − | 11.8161i | −0.819749 | − | 0.467071i | ||||
\(641\) | 35.3930 | + | 20.4342i | 1.39794 | + | 0.807102i | 0.994177 | − | 0.107761i | \(-0.0343683\pi\) |
0.403764 | + | 0.914863i | \(0.367702\pi\) | |||||||
\(642\) | −3.78949 | − | 24.8297i | −0.149559 | − | 0.979950i | ||||
\(643\) | −8.91467 | + | 33.2700i | −0.351560 | + | 1.31204i | 0.533198 | + | 0.845991i | \(0.320990\pi\) |
−0.884758 | + | 0.466050i | \(0.845677\pi\) | |||||||
\(644\) | −1.65786 | + | 1.13427i | −0.0653287 | + | 0.0446964i | ||||
\(645\) | 6.08728 | − | 40.6725i | 0.239686 | − | 1.60148i | ||||
\(646\) | −32.8455 | + | 10.1608i | −1.29229 | + | 0.399771i | ||||
\(647\) | 28.1696i | 1.10746i | 0.832696 | + | 0.553730i | \(0.186796\pi\) | ||||
−0.832696 | + | 0.553730i | \(0.813204\pi\) | |||||||
\(648\) | −11.7462 | + | 22.5838i | −0.461433 | + | 0.887175i | ||||
\(649\) | − | 2.97943i | − | 0.116953i | ||||||
\(650\) | 0.438047 | + | 1.41602i | 0.0171816 | + | 0.0555408i | ||||
\(651\) | −0.185626 | + | 1.24027i | −0.00727525 | + | 0.0486099i | ||||
\(652\) | −0.255650 | + | 1.36330i | −0.0100120 | + | 0.0533908i | ||||
\(653\) | 2.17456 | − | 8.11558i | 0.0850972 | − | 0.317587i | −0.910235 | − | 0.414091i | \(-0.864099\pi\) |
0.995333 | + | 0.0965042i | \(0.0307661\pi\) | |||||||
\(654\) | −35.2206 | + | 5.37534i | −1.37723 | + | 0.210192i | ||||
\(655\) | 8.98247 | + | 5.18603i | 0.350974 | + | 0.202635i | ||||
\(656\) | −36.4757 | + | 5.61941i | −1.42414 | + | 0.219401i | ||||
\(657\) | 1.64838 | − | 5.38352i | 0.0643096 | − | 0.210031i | ||||
\(658\) | 0.0816744 | + | 2.13623i | 0.00318400 | + | 0.0832789i | ||||
\(659\) | −6.62788 | − | 24.7356i | −0.258186 | − | 0.963562i | −0.966290 | − | 0.257455i | \(-0.917116\pi\) |
0.708105 | − | 0.706107i | \(-0.249550\pi\) | |||||||
\(660\) | 2.24030 | + | 4.62048i | 0.0872034 | + | 0.179852i | ||||
\(661\) | −5.44473 | + | 20.3200i | −0.211775 | + | 0.790357i | 0.775501 | + | 0.631346i | \(0.217497\pi\) |
−0.987277 | + | 0.159011i | \(0.949170\pi\) | |||||||
\(662\) | 5.53914 | − | 24.3600i | 0.215285 | − | 0.946778i | ||||
\(663\) | 5.69910 | − | 13.0995i | 0.221335 | − | 0.508742i | ||||
\(664\) | 4.00710 | − | 1.58398i | 0.155506 | − | 0.0614704i | ||||
\(665\) | 1.51424 | 0.0587198 | ||||||||
\(666\) | −0.115095 | − | 39.8613i | −0.00445984 | − | 1.54459i | ||||
\(667\) | −5.34063 | + | 5.34063i | −0.206790 | + | 0.206790i | ||||
\(668\) | 19.4526 | + | 9.32887i | 0.752644 | + | 0.360945i | ||||
\(669\) | 28.1408 | + | 22.3939i | 1.08799 | + | 0.865798i | ||||
\(670\) | −5.25692 | + | 3.30912i | −0.203093 | + | 0.127842i | ||||
\(671\) | 1.61818 | + | 2.80277i | 0.0624691 | + | 0.108200i | ||||
\(672\) | 0.0531355 | + | 1.24924i | 0.00204975 | + | 0.0481905i | ||||
\(673\) | −12.5221 | + | 21.6890i | −0.482693 | + | 0.836048i | −0.999803 | − | 0.0198709i | \(-0.993674\pi\) |
0.517110 | + | 0.855919i | \(0.327008\pi\) | |||||||
\(674\) | −0.521432 | − | 13.6383i | −0.0200848 | − | 0.525327i | ||||
\(675\) | 1.61511 | + | 2.35318i | 0.0621658 | + | 0.0905741i | ||||
\(676\) | −1.42921 | − | 18.6635i | −0.0549696 | − | 0.717825i | ||||
\(677\) | −4.91241 | − | 18.3334i | −0.188799 | − | 0.704608i | −0.993785 | − | 0.111314i | \(-0.964494\pi\) |
0.804986 | − | 0.593294i | \(-0.202173\pi\) | |||||||
\(678\) | 51.4352 | + | 5.69896i | 1.97536 | + | 0.218867i | ||||
\(679\) | 0.423420 | + | 0.733386i | 0.0162494 | + | 0.0281448i | ||||
\(680\) | 25.5135 | + | 3.78180i | 0.978396 | + | 0.145026i | ||||
\(681\) | −1.55083 | − | 13.6370i | −0.0594281 | − | 0.522570i | ||||
\(682\) | 5.38596 | − | 1.66615i | 0.206239 | − | 0.0638003i | ||||
\(683\) | 3.70253 | + | 3.70253i | 0.141673 | + | 0.141673i | 0.774386 | − | 0.632713i | \(-0.218059\pi\) |
−0.632713 | + | 0.774386i | \(0.718059\pi\) | |||||||
\(684\) | 15.6581 | − | 29.8940i | 0.598704 | − | 1.14303i | ||||
\(685\) | 10.1803 | − | 10.1803i | 0.388969 | − | 0.388969i | ||||
\(686\) | −2.23221 | − | 1.17743i | −0.0852263 | − | 0.0449547i | ||||
\(687\) | 0.320978 | − | 0.737774i | 0.0122461 | − | 0.0281478i | ||||
\(688\) | −44.7520 | − | 4.89475i | −1.70616 | − | 0.186611i | ||||
\(689\) | −0.00605326 | + | 0.00349485i | −0.000230611 | + | 0.000133143i | ||||
\(690\) | −37.8868 | − | 14.7886i | −1.44233 | − | 0.562993i | ||||
\(691\) | 8.18783 | − | 2.19392i | 0.311480 | − | 0.0834607i | −0.0996929 | − | 0.995018i | \(-0.531786\pi\) |
0.411173 | + | 0.911558i | \(0.365119\pi\) | |||||||
\(692\) | 7.25455 | + | 6.22251i | 0.275777 | + | 0.236544i | ||||
\(693\) | 0.142645 | − | 0.228066i | 0.00541863 | − | 0.00866352i | ||||
\(694\) | 18.3110 | − | 19.7669i | 0.695078 | − | 0.750340i | ||||
\(695\) | 19.5631 | + | 11.2947i | 0.742070 | + | 0.428434i | ||||
\(696\) | 1.06209 | + | 4.57980i | 0.0402584 | + | 0.173597i | ||||
\(697\) | 34.5379 | − | 19.9405i | 1.30822 | − | 0.755299i | ||||
\(698\) | −5.67274 | + | 24.9475i | −0.214716 | + | 0.944278i | ||||
\(699\) | −15.6521 | − | 2.34258i | −0.592015 | − | 0.0886045i | ||||
\(700\) | 0.126408 | + | 0.0606214i | 0.00477777 | + | 0.00229127i | ||||
\(701\) | 16.2977 | + | 16.2977i | 0.615557 | + | 0.615557i | 0.944389 | − | 0.328831i | \(-0.106655\pi\) |
−0.328831 | + | 0.944389i | \(0.606655\pi\) | |||||||
\(702\) | 5.17392 | + | 13.0323i | 0.195277 | + | 0.491874i | ||||
\(703\) | 52.8439i | 1.99304i | ||||||||
\(704\) | 4.95680 | − | 2.65081i | 0.186816 | − | 0.0999063i | ||||
\(705\) | −34.7992 | + | 25.7388i | −1.31062 | + | 0.969378i | ||||
\(706\) | 4.92023 | + | 7.81637i | 0.185175 | + | 0.294173i | ||||
\(707\) | −1.54314 | − | 0.413484i | −0.0580359 | − | 0.0155507i | ||||
\(708\) | 14.4256 | − | 2.76932i | 0.542147 | − | 0.104077i | ||||
\(709\) | −18.6437 | + | 4.99557i | −0.700180 | + | 0.187613i | −0.591311 | − | 0.806443i | \(-0.701390\pi\) |
−0.108869 | + | 0.994056i | \(0.534723\pi\) | |||||||
\(710\) | −7.71848 | + | 8.33214i | −0.289669 | + | 0.312700i | ||||
\(711\) | 7.10604 | + | 7.62672i | 0.266497 | + | 0.286024i | ||||
\(712\) | −3.42856 | − | 29.7753i | −0.128491 | − | 1.11588i | ||||
\(713\) | −22.3267 | + | 38.6710i | −0.836142 | + | 1.44824i | ||||
\(714\) | −0.542609 | − | 1.23742i | −0.0203066 | − | 0.0463093i | ||||
\(715\) | 2.73210 | + | 0.732065i | 0.102175 | + | 0.0273777i | ||||
\(716\) | 9.81001 | + | 1.83961i | 0.366617 | + | 0.0687493i | ||||
\(717\) | 4.64202 | + | 11.7917i | 0.173359 | + | 0.440370i | ||||
\(718\) | 15.0483 | − | 28.5291i | 0.561599 | − | 1.06470i | ||||
\(719\) | −24.2401 | −0.904003 | −0.452002 | − | 0.892017i | \(-0.649290\pi\) | ||||
−0.452002 | + | 0.892017i | \(0.649290\pi\) | |||||||
\(720\) | −20.2888 | + | 15.1416i | −0.756120 | + | 0.564293i | ||||
\(721\) | 1.07669 | 0.0400980 | ||||||||
\(722\) | −8.33596 | + | 15.8036i | −0.310232 | + | 0.588148i | ||||
\(723\) | 2.69322 | − | 3.38438i | 0.100162 | − | 0.125866i | ||||
\(724\) | −3.83090 | + | 20.4289i | −0.142374 | + | 0.759234i | ||||
\(725\) | 0.509157 | + | 0.136428i | 0.0189096 | + | 0.00506682i | ||||
\(726\) | 25.5786 | + | 2.83408i | 0.949309 | + | 0.105182i | ||||
\(727\) | −8.10074 | + | 14.0309i | −0.300440 | + | 0.520377i | −0.976236 | − | 0.216712i | \(-0.930467\pi\) |
0.675796 | + | 0.737089i | \(0.263800\pi\) | |||||||
\(728\) | 0.539526 | + | 0.428105i | 0.0199962 | + | 0.0158666i | ||||
\(729\) | 16.9652 | + | 21.0044i | 0.628340 | + | 0.777939i | ||||
\(730\) | 3.80516 | − | 4.10769i | 0.140835 | − | 0.152032i | ||||
\(731\) | 46.9902 | − | 12.5910i | 1.73800 | − | 0.465694i | ||||
\(732\) | −12.0662 | + | 10.4399i | −0.445980 | + | 0.385871i | ||||
\(733\) | 8.04180 | + | 2.15479i | 0.297031 | + | 0.0795891i | 0.404257 | − | 0.914646i | \(-0.367530\pi\) |
−0.107226 | + | 0.994235i | \(0.534197\pi\) | |||||||
\(734\) | −18.0686 | − | 28.7041i | −0.666924 | − | 1.05949i | ||||
\(735\) | −2.88349 | − | 25.3555i | −0.106359 | − | 0.935251i | ||||
\(736\) | −14.5332 | + | 42.0824i | −0.535700 | + | 1.55118i | ||||
\(737\) | − | 1.46289i | − | 0.0538863i | ||||||
\(738\) | −10.0222 | + | 37.8400i | −0.368922 | + | 1.39291i | ||||
\(739\) | 22.8405 | + | 22.8405i | 0.840203 | + | 0.840203i | 0.988885 | − | 0.148682i | \(-0.0475030\pi\) |
−0.148682 | + | 0.988885i | \(0.547503\pi\) | |||||||
\(740\) | 17.1421 | − | 35.7447i | 0.630155 | − | 1.31400i | ||||
\(741\) | −6.80909 | − | 17.2966i | −0.250138 | − | 0.635405i | ||||
\(742\) | −0.000146584 | 0 | 0.000644647i | −5.38128e−6 | 0 | 2.36657e-5i | ||||
\(743\) | −7.19608 | + | 4.15466i | −0.263999 | + | 0.152420i | −0.626157 | − | 0.779697i | \(-0.715373\pi\) |
0.362159 | + | 0.932116i | \(0.382040\pi\) | |||||||
\(744\) | 13.0732 | + | 24.5287i | 0.479287 | + | 0.899267i | ||||
\(745\) | −0.385931 | − | 0.222817i | −0.0141394 | − | 0.00816339i | ||||
\(746\) | 23.0544 | − | 24.8874i | 0.844083 | − | 0.911192i | ||||
\(747\) | 0.161417 | − | 4.56734i | 0.00590595 | − | 0.167110i | ||||
\(748\) | −3.95462 | + | 4.61052i | −0.144595 | + | 0.168577i | ||||
\(749\) | −1.26399 | + | 0.338684i | −0.0461850 | + | 0.0123752i | ||||
\(750\) | 4.32650 | + | 28.3483i | 0.157981 | + | 1.03513i | ||||
\(751\) | 28.0215 | − | 16.1782i | 1.02252 | − | 0.590352i | 0.107687 | − | 0.994185i | \(-0.465656\pi\) |
0.914833 | + | 0.403833i | \(0.132322\pi\) | |||||||
\(752\) | 29.6623 | + | 36.9478i | 1.08167 | + | 1.34735i | ||||
\(753\) | 4.04390 | + | 5.46742i | 0.147368 | + | 0.199244i | ||||
\(754\) | 2.29052 | + | 1.20819i | 0.0834158 | + | 0.0439996i | ||||
\(755\) | 3.42502 | − | 3.42502i | 0.124649 | − | 0.124649i | ||||
\(756\) | 1.23682 | + | 0.478666i | 0.0449828 | + | 0.0174089i | ||||
\(757\) | 3.76265 | + | 3.76265i | 0.136756 | + | 0.136756i | 0.772171 | − | 0.635415i | \(-0.219171\pi\) |
−0.635415 | + | 0.772171i | \(0.719171\pi\) | |||||||
\(758\) | 19.0423 | − | 5.89077i | 0.691649 | − | 0.213962i | ||||
\(759\) | 7.70069 | − | 5.69570i | 0.279517 | − | 0.206741i | ||||
\(760\) | 26.9545 | − | 19.9953i | 0.977743 | − | 0.725304i | ||||
\(761\) | 13.1168 | + | 22.7190i | 0.475485 | + | 0.823564i | 0.999606 | − | 0.0280801i | \(-0.00893934\pi\) |
−0.524121 | + | 0.851644i | \(0.675606\pi\) | |||||||
\(762\) | 19.0226 | − | 25.8748i | 0.689117 | − | 0.937347i | ||||
\(763\) | 0.480419 | + | 1.79295i | 0.0173923 | + | 0.0649090i | ||||
\(764\) | −10.3253 | + | 0.790689i | −0.373556 | + | 0.0286061i | ||||
\(765\) | 14.5066 | − | 23.1938i | 0.524489 | − | 0.838572i | ||||
\(766\) | 0.249371 | + | 6.52239i | 0.00901012 | + | 0.235664i | ||||
\(767\) | 4.04557 | − | 7.00713i | 0.146077 | − | 0.253013i | ||||
\(768\) | 17.4418 | + | 21.5356i | 0.629376 | + | 0.777101i | ||||
\(769\) | −9.31591 | − | 16.1356i | −0.335940 | − | 0.581865i | 0.647725 | − | 0.761874i | \(-0.275721\pi\) |
−0.983665 | + | 0.180009i | \(0.942387\pi\) | |||||||
\(770\) | 0.226403 | − | 0.142516i | 0.00815901 | − | 0.00513592i | ||||
\(771\) | 17.9019 | − | 7.04741i | 0.644722 | − | 0.253806i | ||||
\(772\) | −22.8614 | + | 47.6707i | −0.822801 | + | 1.71571i | ||||
\(773\) | −4.69430 | + | 4.69430i | −0.168842 | + | 0.168842i | −0.786470 | − | 0.617628i | \(-0.788094\pi\) |
0.617628 | + | 0.786470i | \(0.288094\pi\) | |||||||
\(774\) | −23.7554 | + | 41.4213i | −0.853870 | + | 1.48886i | ||||
\(775\) | 3.11641 | 0.111945 | ||||||||
\(776\) | 17.2214 | + | 7.46357i | 0.618211 | + | 0.267927i | ||||
\(777\) | −2.06343 | + | 0.234659i | −0.0740252 | + | 0.00841834i | ||||
\(778\) | 4.01129 | − | 17.6408i | 0.143812 | − | 0.632454i | ||||
\(779\) | 13.4311 | − | 50.1255i | 0.481218 | − | 1.79593i | ||||
\(780\) | −1.00503 | + | 13.9086i | −0.0359859 | + | 0.498006i | ||||
\(781\) | −0.692294 | − | 2.58368i | −0.0247722 | − | 0.0924512i | ||||
\(782\) | −1.83805 | − | 48.0749i | −0.0657284 | − | 1.71915i | ||||
\(783\) | 4.90245 | + | 0.911813i | 0.175199 | + | 0.0325855i | ||||
\(784\) | −27.6091 | + | 4.25344i | −0.986041 | + | 0.151909i | ||||
\(785\) | −30.6704 | − | 17.7076i | −1.09467 | − | 0.632010i | ||||
\(786\) | −7.52594 | − | 9.40148i | −0.268441 | − | 0.335340i | ||||
\(787\) | −11.7352 | + | 43.7964i | −0.418315 | + | 1.56117i | 0.359786 | + | 0.933035i | \(0.382850\pi\) |
−0.778101 | + | 0.628139i | \(0.783817\pi\) | |||||||
\(788\) | 14.3072 | + | 2.68293i | 0.509672 | + | 0.0955755i | ||||
\(789\) | 26.0283 | + | 20.7128i | 0.926631 | + | 0.737394i | ||||
\(790\) | 3.06377 | + | 9.90384i | 0.109004 | + | 0.352363i | ||||
\(791\) | − | 2.69611i | − | 0.0958625i | ||||||
\(792\) | −0.472392 | − | 5.94332i | −0.0167857 | − | 0.211187i | ||||
\(793\) | 8.78888i | 0.312102i | ||||||||
\(794\) | −7.07544 | + | 2.18880i | −0.251098 | + | 0.0776775i | ||||
\(795\) | −0.0124549 | + | 0.00490310i | −0.000441731 | + | 0.000173895i | ||||
\(796\) | −1.55211 | − | 2.26858i | −0.0550131 | − | 0.0804077i | ||||
\(797\) | −9.77347 | + | 36.4751i | −0.346194 | + | 1.29201i | 0.545017 | + | 0.838425i | \(0.316523\pi\) |
−0.891211 | + | 0.453589i | \(0.850143\pi\) | |||||||
\(798\) | −1.63780 | − | 0.639294i | −0.0579776 | − | 0.0226308i | ||||
\(799\) | −44.3411 | − | 25.6004i | −1.56868 | − | 0.905676i | ||||
\(800\) | 3.05064 | − | 0.590090i | 0.107856 | − | 0.0208628i | ||||
\(801\) | −30.3971 | − | 9.30731i | −1.07403 | − | 0.328858i | ||||
\(802\) | 18.9079 | − | 0.722905i | 0.667660 | − | 0.0255266i | ||||
\(803\) | 0.341296 | + | 1.27374i | 0.0120441 | + | 0.0449492i | ||||
\(804\) | 7.08294 | − | 1.35973i | 0.249796 | − | 0.0479540i | ||||
\(805\) | −0.548411 | + | 2.04670i | −0.0193289 | + | 0.0721366i | ||||
\(806\) | 14.9293 | + | 3.39472i | 0.525861 | + | 0.119574i | ||||
\(807\) | −11.1645 | − | 15.0946i | −0.393008 | − | 0.531353i | ||||
\(808\) | −32.9290 | + | 13.0166i | −1.15844 | + | 0.457922i | ||||
\(809\) | −24.0071 | −0.844045 | −0.422023 | − | 0.906585i | \(-0.638680\pi\) | ||||
−0.422023 | + | 0.906585i | \(0.638680\pi\) | |||||||
\(810\) | 6.10486 | + | 26.1486i | 0.214503 | + | 0.918767i | ||||
\(811\) | −0.243845 | + | 0.243845i | −0.00856256 | + | 0.00856256i | −0.711375 | − | 0.702813i | \(-0.751927\pi\) |
0.702813 | + | 0.711375i | \(0.251927\pi\) | |||||||
\(812\) | 0.231057 | − | 0.0812729i | 0.00810850 | − | 0.00285212i | ||||
\(813\) | 3.32776 | − | 22.2346i | 0.116710 | − | 0.779800i | ||||
\(814\) | 4.97351 | + | 7.90100i | 0.174321 | + | 0.276930i | ||||
\(815\) | 0.731560 | + | 1.26710i | 0.0256254 | + | 0.0443846i | ||||
\(816\) | −25.9987 | − | 14.8618i | −0.910135 | − | 0.520269i | ||||
\(817\) | 31.6507 | − | 54.8205i | 1.10732 | − | 1.91793i | ||||
\(818\) | 39.3350 | − | 1.50389i | 1.37532 | − | 0.0525824i | ||||
\(819\) | 0.645154 | − | 0.342686i | 0.0225435 | − | 0.0119744i | ||||
\(820\) | −25.3453 | + | 29.5490i | −0.885097 | + | 1.03190i | ||||
\(821\) | −12.4067 | − | 46.3025i | −0.432998 | − | 1.61597i | −0.745813 | − | 0.666156i | \(-0.767939\pi\) |
0.312815 | − | 0.949814i | \(-0.398728\pi\) | |||||||
\(822\) | −15.3090 | + | 6.71300i | −0.533962 | + | 0.234143i | ||||
\(823\) | −0.737958 | − | 1.27818i | −0.0257236 | − | 0.0445546i | 0.852877 | − | 0.522112i | \(-0.174856\pi\) |
−0.878601 | + | 0.477557i | \(0.841522\pi\) | |||||||
\(824\) | 19.1658 | − | 14.2175i | 0.667672 | − | 0.495289i | ||||
\(825\) | −0.612973 | − | 0.266682i | −0.0213410 | − | 0.00928466i | ||||
\(826\) | −0.226165 | − | 0.731096i | −0.00786930 | − | 0.0254381i | ||||
\(827\) | −11.5464 | − | 11.5464i | −0.401509 | − | 0.401509i | 0.477256 | − | 0.878764i | \(-0.341632\pi\) |
−0.878764 | + | 0.477256i | \(0.841632\pi\) | |||||||
\(828\) | 34.7347 | + | 31.9907i | 1.20712 | + | 1.11175i | ||||
\(829\) | 34.7961 | − | 34.7961i | 1.20852 | − | 1.20852i | 0.237010 | − | 0.971507i | \(-0.423833\pi\) |
0.971507 | − | 0.237010i | \(-0.0761675\pi\) | |||||||
\(830\) | 2.12051 | − | 4.02012i | 0.0736039 | − | 0.139540i | ||||
\(831\) | −42.7303 | + | 4.85940i | −1.48230 | + | 0.168571i | ||||
\(832\) | 15.2569 | + | 0.496227i | 0.528940 | + | 0.0172036i | ||||
\(833\) | 26.1424 | − | 15.0933i | 0.905781 | − | 0.522953i | ||||
\(834\) | −16.3909 | − | 20.4757i | −0.567570 | − | 0.709014i | ||||
\(835\) | 21.9815 | − | 5.88992i | 0.760700 | − | 0.203829i | ||||
\(836\) | 0.603493 | + | 7.88077i | 0.0208722 | + | 0.272562i | ||||
\(837\) | 29.3917 | − | 2.29453i | 1.01593 | − | 0.0793106i | ||||
\(838\) | 10.7182 | + | 9.92880i | 0.370254 | + | 0.342985i | ||||
\(839\) | −41.3065 | − | 23.8483i | −1.42606 | − | 0.823335i | −0.429252 | − | 0.903185i | \(-0.641223\pi\) |
−0.996807 | + | 0.0798497i | \(0.974556\pi\) | |||||||
\(840\) | 0.900463 | + | 0.963720i | 0.0310689 | + | 0.0332515i | ||||
\(841\) | −24.3172 | + | 14.0395i | −0.838523 | + | 0.484122i | ||||
\(842\) | −42.6196 | − | 9.69114i | −1.46877 | − | 0.333979i | ||||
\(843\) | −7.96200 | + | 10.0053i | −0.274226 | + | 0.344601i | ||||
\(844\) | −21.7553 | + | 7.65233i | −0.748850 | + | 0.263404i | ||||
\(845\) | −13.9615 | − | 13.9615i | −0.480290 | − | 0.480290i | ||||
\(846\) | 48.5054 | − | 13.1472i | 1.66765 | − | 0.452010i | ||||
\(847\) | − | 1.34076i | − | 0.0460692i | ||||||
\(848\) | 0.00590313 | + | 0.0134108i | 0.000202714 | + | 0.000460527i | ||||
\(849\) | 9.86087 | + | 4.29009i | 0.338424 | + | 0.147236i | ||||
\(850\) | −2.84155 | + | 1.78869i | −0.0974643 | + | 0.0613517i | ||||
\(851\) | −71.4254 | − | 19.1384i | −2.44843 | − | 0.656055i | ||||
\(852\) | 11.8660 | − | 5.75338i | 0.406523 | − | 0.197108i | ||||
\(853\) | 42.5120 | − | 11.3911i | 1.45558 | − | 0.390023i | 0.557622 | − | 0.830095i | \(-0.311714\pi\) |
0.897962 | + | 0.440072i | \(0.145047\pi\) | |||||||
\(854\) | 0.609827 | + | 0.564913i | 0.0208678 | + | 0.0193309i | ||||
\(855\) | −7.99302 | − | 34.6881i | −0.273355 | − | 1.18631i | ||||
\(856\) | −18.0275 | + | 22.7195i | −0.616168 | + | 0.776535i | ||||
\(857\) | 4.36756 | − | 7.56483i | 0.149193 | − | 0.258410i | −0.781736 | − | 0.623609i | \(-0.785666\pi\) |
0.930929 | + | 0.365199i | \(0.118999\pi\) | |||||||
\(858\) | −2.64597 | − | 1.94526i | −0.0903318 | − | 0.0664100i | ||||
\(859\) | −48.4800 | − | 12.9902i | −1.65411 | − | 0.443219i | −0.693354 | − | 0.720597i | \(-0.743868\pi\) |
−0.960761 | + | 0.277378i | \(0.910534\pi\) | |||||||
\(860\) | −39.1925 | + | 26.8146i | −1.33645 | + | 0.914370i | ||||
\(861\) | 2.01693 | + | 0.301865i | 0.0687366 | + | 0.0102875i | ||||
\(862\) | 18.5690 | + | 9.79464i | 0.632461 | + | 0.333607i | ||||
\(863\) | −3.87853 | −0.132027 | −0.0660134 | − | 0.997819i | \(-0.521028\pi\) | ||||
−0.0660134 | + | 0.997819i | \(0.521028\pi\) | |||||||
\(864\) | 28.3369 | − | 7.81140i | 0.964042 | − | 0.265749i | ||||
\(865\) | 10.0817 | 0.342789 | ||||||||
\(866\) | −40.2300 | − | 21.2203i | −1.36707 | − | 0.721094i | ||||
\(867\) | 2.88369 | + | 0.431590i | 0.0979353 | + | 0.0146576i | ||||
\(868\) | 1.19514 | − | 0.817686i | 0.0405656 | − | 0.0277541i | ||||
\(869\) | −2.35827 | − | 0.631896i | −0.0799988 | − | 0.0214356i | ||||
\(870\) | 3.99556 | + | 2.93745i | 0.135462 | + | 0.0995889i | ||||
\(871\) | 1.98636 | − | 3.44049i | 0.0673054 | − | 0.116576i | ||||
\(872\) | 32.2272 | + | 25.5718i | 1.09135 | + | 0.865970i | ||||
\(873\) | 14.5653 | − | 13.5709i | 0.492959 | − | 0.459305i | ||||
\(874\) | −45.9248 | − | 42.5424i | −1.55343 | − | 1.43902i | ||||
\(875\) | 1.44311 | − | 0.386679i | 0.0487859 | − | 0.0130721i | ||||
\(876\) | −5.84987 | + | 2.83638i | −0.197649 | + | 0.0958324i | ||||
\(877\) | −20.2871 | − | 5.43592i | −0.685047 | − | 0.183558i | −0.100524 | − | 0.994935i | \(-0.532052\pi\) |
−0.584524 | + | 0.811377i | \(0.698719\pi\) | |||||||
\(878\) | −0.335198 | + | 0.211000i | −0.0113124 | + | 0.00712091i | ||||
\(879\) | −39.4856 | − | 17.1787i | −1.33182 | − | 0.579424i | ||||
\(880\) | 2.14824 | − | 5.52649i | 0.0724170 | − | 0.186298i | ||||
\(881\) | 7.45496i | 0.251164i | 0.992083 | + | 0.125582i | \(0.0400798\pi\) | ||||
−0.992083 | + | 0.125582i | \(0.959920\pi\) | |||||||
\(882\) | −7.58598 | + | 28.6418i | −0.255433 | + | 0.964420i | ||||
\(883\) | −9.55597 | − | 9.55597i | −0.321584 | − | 0.321584i | 0.527791 | − | 0.849375i | \(-0.323021\pi\) |
−0.849375 | + | 0.527791i | \(0.823021\pi\) | |||||||
\(884\) | −15.5609 | + | 5.47348i | −0.523371 | + | 0.184093i | ||||
\(885\) | 9.64811 | − | 12.1241i | 0.324318 | − | 0.407547i | ||||
\(886\) | −34.6332 | − | 7.87514i | −1.16353 | − | 0.264570i | ||||
\(887\) | −41.0581 | + | 23.7049i | −1.37860 | + | 0.795934i | −0.991991 | − | 0.126311i | \(-0.959686\pi\) |
−0.386607 | + | 0.922245i | \(0.626353\pi\) | |||||||
\(888\) | −33.6318 | + | 31.4243i | −1.12861 | + | 1.05453i | ||||
\(889\) | −1.44899 | − | 0.836573i | −0.0485975 | − | 0.0280578i | ||||
\(890\) | −23.1934 | − | 21.4852i | −0.777444 | − | 0.720185i | ||||
\(891\) | −5.97747 | − | 2.06383i | −0.200253 | − | 0.0691409i | ||||
\(892\) | −3.17080 | − | 41.4062i | −0.106166 | − | 1.38638i | ||||
\(893\) | −64.3530 | + | 17.2433i | −2.15349 | + | 0.577027i | ||||
\(894\) | 0.323351 | + | 0.403934i | 0.0108145 | + | 0.0135096i | ||||
\(895\) | 9.11780 | − | 5.26416i | 0.304774 | − | 0.175962i | ||||
\(896\) | 1.01508 | − | 1.02673i | 0.0339116 | − | 0.0343005i | ||||
\(897\) | 25.8446 | − | 2.93912i | 0.862926 | − | 0.0981342i | ||||
\(898\) | 9.42757 | − | 17.8731i | 0.314602 | − | 0.596431i | ||||
\(899\) | 3.85003 | − | 3.85003i | 0.128406 | − | 0.128406i | ||||
\(900\) | 0.721456 | − | 3.21573i | 0.0240485 | − | 0.107191i | ||||
\(901\) | −0.0111960 | − | 0.0111960i | −0.000372994 | − | 0.000372994i | ||||
\(902\) | −2.70950 | − | 8.75865i | −0.0902165 | − | 0.291631i | ||||
\(903\) | 2.28116 | + | 0.992448i | 0.0759124 | + | 0.0330266i | ||||
\(904\) | −35.6015 | − | 47.9925i | −1.18409 | − | 1.59621i | ||||
\(905\) | 10.9624 | + | 18.9874i | 0.364402 | + | 0.631162i | ||||
\(906\) | −5.15049 | + | 2.25849i | −0.171114 | + | 0.0750335i | ||||
\(907\) | −3.66301 | − | 13.6705i | −0.121628 | − | 0.453923i | 0.878069 | − | 0.478534i | \(-0.158832\pi\) |
−0.999697 | + | 0.0246114i | \(0.992165\pi\) | |||||||
\(908\) | −10.3180 | + | 12.0293i | −0.342413 | + | 0.399205i | ||||
\(909\) | −1.32647 | + | 37.5327i | −0.0439963 | + | 1.24488i | ||||
\(910\) | 0.725977 | − | 0.0277563i | 0.0240659 | − | 0.000920111i | ||||
\(911\) | 20.0062 | − | 34.6517i | 0.662834 | − | 1.14806i | −0.317034 | − | 0.948414i | \(-0.602687\pi\) |
0.979868 | − | 0.199648i | \(-0.0639799\pi\) | |||||||
\(912\) | −37.5957 | + | 10.2470i | −1.24492 | + | 0.339311i | ||||
\(913\) | 0.535197 | + | 0.926988i | 0.0177124 | + | 0.0306788i | ||||
\(914\) | −20.9738 | − | 33.3193i | −0.693751 | − | 1.10211i | ||||
\(915\) | −2.49123 | + | 16.6453i | −0.0823576 | + | 0.550277i | ||||
\(916\) | −0.876405 | + | 0.308271i | −0.0289572 | + | 0.0101856i | ||||
\(917\) | −0.443647 | + | 0.443647i | −0.0146505 | + | 0.0146505i | ||||
\(918\) | −25.4825 | + | 18.9618i | −0.841046 | + | 0.625833i | ||||
\(919\) | −18.6876 | −0.616446 | −0.308223 | − | 0.951314i | \(-0.599734\pi\) | ||||
−0.308223 | + | 0.951314i | \(0.599734\pi\) | |||||||
\(920\) | 17.2641 | + | 43.6742i | 0.569182 | + | 1.43990i | ||||
\(921\) | 25.3117 | + | 34.2218i | 0.834049 | + | 1.12765i | ||||
\(922\) | 23.1120 | + | 5.25536i | 0.761153 | + | 0.173076i | ||||
\(923\) | 1.88004 | − | 7.01641i | 0.0618823 | − | 0.230948i | ||||
\(924\) | −0.305046 | + | 0.0585604i | −0.0100353 | + | 0.00192650i | ||||
\(925\) | 1.33569 | + | 4.98486i | 0.0439172 | + | 0.163901i | ||||
\(926\) | 42.7452 | − | 1.63428i | 1.40470 | − | 0.0537057i | ||||
\(927\) | −5.68337 | − | 24.6647i | −0.186666 | − | 0.810094i | ||||
\(928\) | 3.03977 | − | 4.49777i | 0.0997853 | − | 0.147646i | ||||
\(929\) | −8.76538 | − | 5.06070i | −0.287583 | − | 0.166036i | 0.349268 | − | 0.937023i | \(-0.386430\pi\) |
−0.636851 | + | 0.770987i | \(0.719763\pi\) | |||||||
\(930\) | 27.3123 | + | 10.6610i | 0.895607 | + | 0.349588i | ||||
\(931\) | 10.1662 | − | 37.9409i | 0.333185 | − | 1.24346i | ||||
\(932\) | 10.3191 | + | 15.0825i | 0.338014 | + | 0.494044i | ||||
\(933\) | 22.2270 | − | 8.75007i | 0.727681 | − | 0.286464i | ||||
\(934\) | 30.4500 | − | 9.41974i | 0.996354 | − | 0.308223i | ||||
\(935\) | 6.40729i | 0.209541i | ||||||||
\(936\) | 6.95906 | − | 14.6192i | 0.227464 | − | 0.477842i | ||||
\(937\) | − | 19.1375i | − | 0.625194i | −0.949886 | − | 0.312597i | \(-0.898801\pi\) | ||
0.949886 | − | 0.312597i | \(-0.101199\pi\) | |||||||
\(938\) | −0.111047 | − | 0.358966i | −0.00362580 | − | 0.0117207i | ||||
\(939\) | −27.6008 | − | 21.9641i | −0.900717 | − | 0.716772i | ||||
\(940\) | 49.1234 | + | 9.21178i | 1.60223 | + | 0.300455i | ||||
\(941\) | 11.1081 | − | 41.4559i | 0.362113 | − | 1.35142i | −0.509179 | − | 0.860660i | \(-0.670051\pi\) |
0.871292 | − | 0.490764i | \(-0.163282\pi\) | |||||||
\(942\) | 25.6971 | + | 32.1011i | 0.837257 | + | 1.04591i | ||||
\(943\) | 62.8868 | + | 36.3077i | 2.04788 | + | 1.18234i | ||||
\(944\) | −13.6799 | − | 10.0275i | −0.445241 | − | 0.326368i | ||||
\(945\) | 1.31899 | − | 0.466145i | 0.0429069 | − | 0.0151637i | ||||
\(946\) | −0.427269 | − | 11.1754i | −0.0138917 | − | 0.363344i | ||||
\(947\) | 12.0721 | + | 45.0535i | 0.392289 | + | 1.46404i | 0.826349 | + | 0.563159i | \(0.190414\pi\) |
−0.434060 | + | 0.900884i | \(0.642919\pi\) | |||||||
\(948\) | 0.867512 | − | 12.0055i | 0.0281755 | − | 0.389919i | ||||
\(949\) | −0.926848 | + | 3.45904i | −0.0300867 | + | 0.112285i | ||||
\(950\) | −0.968731 | + | 4.26028i | −0.0314298 | + | 0.138222i | ||||
\(951\) | −36.1920 | + | 4.11585i | −1.17361 | + | 0.133466i | ||||
\(952\) | −0.620410 | + | 1.43153i | −0.0201076 | + | 0.0463960i | ||||
\(953\) | −20.2249 | −0.655149 | −0.327575 | − | 0.944825i | \(-0.606231\pi\) | ||||
−0.327575 | + | 0.944825i | \(0.606231\pi\) | |||||||
\(954\) | 0.0155412 | 4.48736e-5i | 0.000503166 | 1.45284e-6i | ||||||
\(955\) | −7.72399 | + | 7.72399i | −0.249943 | + | 0.249943i | ||||
\(956\) | 6.32752 | − | 13.1942i | 0.204647 | − | 0.426730i | ||||
\(957\) | −1.08673 | + | 0.427810i | −0.0351289 | + | 0.0138291i | ||||
\(958\) | −35.4502 | + | 22.3151i | −1.14534 | + | 0.720969i | ||||
\(959\) | 0.435445 | + | 0.754212i | 0.0140612 | + | 0.0243548i | ||||
\(960\) | 28.7546 | + | 5.26443i | 0.928049 | + | 0.169909i | ||||
\(961\) | 0.595170 | − | 1.03087i | 0.0191990 | − | 0.0332537i | ||||
\(962\) | 0.968635 | + | 25.3351i | 0.0312301 | + | 0.816836i | ||||
\(963\) | 14.4305 | + | 27.1675i | 0.465018 | + | 0.875459i | ||||
\(964\) | −4.97974 | + | 0.381338i | −0.160387 | + | 0.0122821i | ||||
\(965\) | 14.4339 | + | 53.8680i | 0.464644 | + | 1.73407i | ||||
\(966\) | 1.45725 | − | 1.98217i | 0.0468862 | − | 0.0637753i | ||||
\(967\) | 15.9815 | + | 27.6807i | 0.513930 | + | 0.890152i | 0.999869 | + | 0.0161601i | \(0.00514413\pi\) |
−0.485940 | + | 0.873992i | \(0.661523\pi\) | |||||||
\(968\) | −17.7045 | − | 23.8665i | −0.569045 | − | 0.767098i | ||||
\(969\) | 33.8542 | − | 25.0398i | 1.08755 | − | 0.804395i | ||||
\(970\) | 18.9140 | − | 5.85108i | 0.607293 | − | 0.187867i | ||||
\(971\) | 4.69660 | + | 4.69660i | 0.150721 | + | 0.150721i | 0.778440 | − | 0.627719i | \(-0.216011\pi\) |
−0.627719 | + | 0.778440i | \(0.716011\pi\) | |||||||
\(972\) | 4.43659 | − | 30.8596i | 0.142304 | − | 0.989823i | ||||
\(973\) | −0.966226 | + | 0.966226i | −0.0309758 | + | 0.0309758i | ||||
\(974\) | 32.0622 | + | 16.9120i | 1.02734 | + | 0.541895i | ||||
\(975\) | −1.07950 | − | 1.45951i | −0.0345718 | − | 0.0467417i | ||||
\(976\) | 18.3149 | + | 2.00319i | 0.586245 | + | 0.0641205i | ||||
\(977\) | −22.7888 | + | 13.1571i | −0.729079 | + | 0.420934i | −0.818085 | − | 0.575097i | \(-0.804964\pi\) |
0.0890064 | + | 0.996031i | \(0.471631\pi\) | |||||||
\(978\) | −0.256301 | − | 1.67935i | −0.00819559 | − | 0.0536996i | ||||
\(979\) | 7.19193 | − | 1.92707i | 0.229855 | − | 0.0615895i | ||||
\(980\) | −19.1844 | + | 22.3662i | −0.612822 | + | 0.714463i | ||||
\(981\) | 38.5367 | − | 20.4695i | 1.23038 | − | 0.653542i | ||||
\(982\) | −5.22426 | + | 5.63962i | −0.166713 | + | 0.179968i | ||||
\(983\) | 19.6448 | + | 11.3420i | 0.626573 | + | 0.361752i | 0.779424 | − | 0.626497i | \(-0.215512\pi\) |
−0.152851 | + | 0.988249i | \(0.548845\pi\) | |||||||
\(984\) | 39.8887 | − | 21.2597i | 1.27160 | − | 0.677734i | ||||
\(985\) | 13.2976 | − | 7.67740i | 0.423698 | − | 0.244622i | ||||
\(986\) | −1.30070 | + | 5.72022i | −0.0414228 | + | 0.182169i | ||||
\(987\) | −0.959079 | − | 2.43627i | −0.0305278 | − | 0.0775472i | ||||
\(988\) | −9.28146 | + | 19.3537i | −0.295283 | + | 0.615724i | ||||
\(989\) | 62.6343 | + | 62.6343i | 1.99165 | + | 1.99165i | ||||
\(990\) | −4.45982 | − | 4.43414i | −0.141742 | − | 0.140926i | ||||
\(991\) | − | 13.0577i | − | 0.414793i | −0.978257 | − | 0.207396i | \(-0.933501\pi\) | ||
0.978257 | − | 0.207396i | \(-0.0664990\pi\) | |||||||
\(992\) | 10.4769 | − | 30.3369i | 0.332641 | − | 0.963197i | ||||
\(993\) | 3.45722 | + | 30.4004i | 0.109711 | + | 0.964728i | ||||
\(994\) | −0.366000 | − | 0.581435i | −0.0116088 | − | 0.0184420i | ||||
\(995\) | −2.80066 | − | 0.750435i | −0.0887870 | − | 0.0237904i | ||||
\(996\) | −3.99078 | + | 3.45290i | −0.126453 | + | 0.109409i | ||||
\(997\) | 7.68222 | − | 2.05844i | 0.243298 | − | 0.0651916i | −0.135109 | − | 0.990831i | \(-0.543139\pi\) |
0.378407 | + | 0.925639i | \(0.376472\pi\) | |||||||
\(998\) | 21.4694 | − | 23.1763i | 0.679601 | − | 0.733633i | ||||
\(999\) | 16.2675 | + | 46.0301i | 0.514680 | + | 1.45633i |
(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.u.a.11.19 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.4 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.22 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.4 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.19 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.5 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.19 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.11 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.11 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.5 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.5 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.4 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.5 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.4 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.22 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.19 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.19 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.19 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.19 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.19 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.4 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.4 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.4 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.4 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.11 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.22 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.22 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.11 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.5 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.5 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.5 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.5 | 88 | 144.13 | even | 12 |