Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(29,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bq (of order \(30\), degree \(8\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 29.17 | ||
Character | \(\chi\) | \(=\) | 429.29 |
Dual form | 429.2.bq.a.74.17 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.123261 | + | 1.17275i | −0.0871586 | + | 0.829258i | 0.860388 | + | 0.509640i | \(0.170221\pi\) |
−0.947546 | + | 0.319618i | \(0.896445\pi\) | |||||||
\(3\) | −1.50937 | − | 0.849596i | −0.871433 | − | 0.490514i | ||||
\(4\) | 0.596149 | + | 0.126715i | 0.298075 | + | 0.0633577i | ||||
\(5\) | −2.37562 | − | 3.26976i | −1.06241 | − | 1.46228i | −0.877530 | − | 0.479522i | \(-0.840810\pi\) |
−0.184881 | − | 0.982761i | \(-0.559190\pi\) | |||||||
\(6\) | 1.18241 | − | 1.66539i | 0.482716 | − | 0.679891i | ||||
\(7\) | −0.489968 | + | 2.30512i | −0.185190 | + | 0.871253i | 0.783191 | + | 0.621781i | \(0.213590\pi\) |
−0.968382 | + | 0.249472i | \(0.919743\pi\) | |||||||
\(8\) | −0.950878 | + | 2.92650i | −0.336186 | + | 1.03467i | ||||
\(9\) | 1.55637 | + | 2.56470i | 0.518791 | + | 0.854901i | ||||
\(10\) | 4.12743 | − | 2.38297i | 1.30521 | − | 0.753563i | ||||
\(11\) | 2.06639 | − | 2.59423i | 0.623041 | − | 0.782189i | ||||
\(12\) | −0.792151 | − | 0.697746i | −0.228674 | − | 0.201422i | ||||
\(13\) | −3.29872 | + | 1.45550i | −0.914899 | + | 0.403682i | ||||
\(14\) | −2.64293 | − | 0.858740i | −0.706353 | − | 0.229508i | ||||
\(15\) | 0.807707 | + | 6.95359i | 0.208549 | + | 1.79541i | ||||
\(16\) | −2.20129 | − | 0.980078i | −0.550323 | − | 0.245020i | ||||
\(17\) | 0.343489 | + | 3.26808i | 0.0833083 | + | 0.792625i | 0.953800 | + | 0.300442i | \(0.0971342\pi\) |
−0.870492 | + | 0.492183i | \(0.836199\pi\) | |||||||
\(18\) | −3.19959 | + | 1.50911i | −0.754151 | + | 0.355700i | ||||
\(19\) | −3.47586 | + | 3.12967i | −0.797416 | + | 0.717997i | −0.963381 | − | 0.268135i | \(-0.913593\pi\) |
0.165965 | + | 0.986132i | \(0.446926\pi\) | |||||||
\(20\) | −1.00190 | − | 2.25030i | −0.224031 | − | 0.503182i | ||||
\(21\) | 2.69796 | − | 3.06299i | 0.588743 | − | 0.668400i | ||||
\(22\) | 2.78767 | + | 2.74313i | 0.594334 | + | 0.584836i | ||||
\(23\) | −4.44339 | + | 2.56539i | −0.926512 | + | 0.534922i | −0.885707 | − | 0.464245i | \(-0.846326\pi\) |
−0.0408051 | + | 0.999167i | \(0.512992\pi\) | |||||||
\(24\) | 3.92157 | − | 3.60930i | 0.800487 | − | 0.736746i | ||||
\(25\) | −3.50269 | + | 10.7802i | −0.700538 | + | 2.15603i | ||||
\(26\) | −1.30033 | − | 4.04797i | −0.255016 | − | 0.793872i | ||||
\(27\) | −0.170177 | − | 5.19336i | −0.0327505 | − | 0.999464i | ||||
\(28\) | −0.584188 | + | 1.31211i | −0.110401 | + | 0.247965i | ||||
\(29\) | −5.37844 | + | 5.97336i | −0.998751 | + | 1.10923i | −0.00473531 | + | 0.999989i | \(0.501507\pi\) |
−0.994016 | + | 0.109237i | \(0.965159\pi\) | |||||||
\(30\) | −8.25437 | + | 0.0901313i | −1.50704 | + | 0.0164556i | ||||
\(31\) | 0.104699 | + | 0.0760684i | 0.0188045 | + | 0.0136623i | 0.597148 | − | 0.802131i | \(-0.296301\pi\) |
−0.578343 | + | 0.815793i | \(0.696301\pi\) | |||||||
\(32\) | −1.65639 | + | 2.86895i | −0.292811 | + | 0.507163i | ||||
\(33\) | −5.32299 | + | 2.16004i | −0.926613 | + | 0.376015i | ||||
\(34\) | −3.87497 | −0.664552 | ||||||||
\(35\) | 8.70117 | − | 3.87401i | 1.47077 | − | 0.654827i | ||||
\(36\) | 0.602844 | + | 1.72616i | 0.100474 | + | 0.287694i | ||||
\(37\) | 3.09717 | − | 3.43976i | 0.509172 | − | 0.565493i | −0.432668 | − | 0.901553i | \(-0.642428\pi\) |
0.941841 | + | 0.336060i | \(0.109095\pi\) | |||||||
\(38\) | −3.24188 | − | 4.46207i | −0.525903 | − | 0.723843i | ||||
\(39\) | 6.21556 | + | 0.605696i | 0.995285 | + | 0.0969890i | ||||
\(40\) | 11.8279 | − | 3.84312i | 1.87016 | − | 0.607650i | ||||
\(41\) | 2.53935 | − | 0.539756i | 0.396580 | − | 0.0842957i | −0.00530471 | − | 0.999986i | \(-0.501689\pi\) |
0.401885 | + | 0.915690i | \(0.368355\pi\) | |||||||
\(42\) | 3.25957 | + | 3.54158i | 0.502962 | + | 0.546477i | ||||
\(43\) | 2.36470 | + | 1.36526i | 0.360613 | + | 0.208200i | 0.669350 | − | 0.742947i | \(-0.266573\pi\) |
−0.308737 | + | 0.951148i | \(0.599906\pi\) | |||||||
\(44\) | 1.56061 | − | 1.28470i | 0.235270 | − | 0.193676i | ||||
\(45\) | 4.68862 | − | 11.1817i | 0.698938 | − | 1.66688i | ||||
\(46\) | −2.46087 | − | 5.52720i | −0.362835 | − | 0.814941i | ||||
\(47\) | −12.6108 | − | 4.09750i | −1.83948 | − | 0.597682i | −0.998386 | − | 0.0567885i | \(-0.981914\pi\) |
−0.841091 | − | 0.540894i | \(-0.818086\pi\) | |||||||
\(48\) | 2.48988 | + | 3.34950i | 0.359384 | + | 0.483459i | ||||
\(49\) | 1.32132 | + | 0.588288i | 0.188760 | + | 0.0840412i | ||||
\(50\) | −12.2107 | − | 5.43655i | −1.72685 | − | 0.768844i | ||||
\(51\) | 2.25809 | − | 5.22455i | 0.316197 | − | 0.731584i | ||||
\(52\) | −2.15096 | + | 0.449696i | −0.298285 | + | 0.0623616i | ||||
\(53\) | −0.992699 | + | 1.36633i | −0.136358 | + | 0.187680i | −0.871735 | − | 0.489978i | \(-0.837005\pi\) |
0.735377 | + | 0.677658i | \(0.237005\pi\) | |||||||
\(54\) | 6.11149 | + | 0.440564i | 0.831668 | + | 0.0599532i | ||||
\(55\) | −13.3915 | − | 0.593707i | −1.80571 | − | 0.0800554i | ||||
\(56\) | −6.28003 | − | 3.62578i | −0.839205 | − | 0.484515i | ||||
\(57\) | 7.90530 | − | 1.77075i | 1.04708 | − | 0.234542i | ||||
\(58\) | −6.34230 | − | 7.04384i | −0.832785 | − | 0.924901i | ||||
\(59\) | 1.74406 | − | 8.20514i | 0.227057 | − | 1.06822i | −0.705923 | − | 0.708289i | \(-0.749467\pi\) |
0.932980 | − | 0.359929i | \(-0.117199\pi\) | |||||||
\(60\) | −0.399614 | + | 4.24773i | −0.0515899 | + | 0.548379i | ||||
\(61\) | 4.97960 | − | 0.523377i | 0.637572 | − | 0.0670115i | 0.219773 | − | 0.975551i | \(-0.429468\pi\) |
0.417799 | + | 0.908539i | \(0.362802\pi\) | |||||||
\(62\) | −0.102114 | + | 0.113409i | −0.0129685 | + | 0.0144030i | ||||
\(63\) | −6.67452 | + | 2.33100i | −0.840910 | + | 0.293679i | ||||
\(64\) | −7.05922 | − | 5.12883i | −0.882403 | − | 0.641103i | ||||
\(65\) | 12.5956 | + | 7.32831i | 1.56230 | + | 0.908965i | ||||
\(66\) | −1.87707 | − | 6.50878i | −0.231051 | − | 0.801175i | ||||
\(67\) | 2.13706 | + | 3.70149i | 0.261083 | + | 0.452209i | 0.966530 | − | 0.256553i | \(-0.0825870\pi\) |
−0.705447 | + | 0.708763i | \(0.749254\pi\) | |||||||
\(68\) | −0.209345 | + | 1.99179i | −0.0253869 | + | 0.241540i | ||||
\(69\) | 8.88626 | − | 0.0970310i | 1.06978 | − | 0.0116812i | ||||
\(70\) | 3.47073 | + | 10.6818i | 0.414831 | + | 1.27672i | ||||
\(71\) | 8.69013 | − | 0.913370i | 1.03133 | − | 0.108397i | 0.426285 | − | 0.904589i | \(-0.359822\pi\) |
0.605044 | + | 0.796192i | \(0.293155\pi\) | |||||||
\(72\) | −8.98553 | + | 2.11601i | −1.05895 | + | 0.249374i | ||||
\(73\) | 7.48522 | − | 2.43210i | 0.876079 | − | 0.284655i | 0.163751 | − | 0.986502i | \(-0.447641\pi\) |
0.712328 | + | 0.701846i | \(0.247641\pi\) | |||||||
\(74\) | 3.65221 | + | 4.05619i | 0.424561 | + | 0.471523i | ||||
\(75\) | 14.4456 | − | 13.2954i | 1.66804 | − | 1.53522i | ||||
\(76\) | −2.46871 | + | 1.42531i | −0.283180 | + | 0.163494i | ||||
\(77\) | 4.96754 | + | 6.03437i | 0.566103 | + | 0.687680i | ||||
\(78\) | −1.47646 | + | 7.21462i | −0.167177 | + | 0.816895i | ||||
\(79\) | −4.79636 | + | 6.60163i | −0.539633 | + | 0.742741i | −0.988560 | − | 0.150827i | \(-0.951806\pi\) |
0.448927 | + | 0.893568i | \(0.351806\pi\) | |||||||
\(80\) | 2.02481 | + | 9.52600i | 0.226381 | + | 1.06504i | ||||
\(81\) | −4.15540 | + | 7.98327i | −0.461711 | + | 0.887030i | ||||
\(82\) | 0.319995 | + | 3.04455i | 0.0353376 | + | 0.336214i | ||||
\(83\) | −11.3301 | + | 8.23180i | −1.24364 | + | 0.903557i | −0.997835 | − | 0.0657622i | \(-0.979052\pi\) |
−0.245804 | + | 0.969319i | \(0.579052\pi\) | |||||||
\(84\) | 1.99652 | − | 1.48413i | 0.217838 | − | 0.161932i | ||||
\(85\) | 9.86984 | − | 8.88685i | 1.07053 | − | 0.963914i | ||||
\(86\) | −1.89258 | + | 2.60491i | −0.204082 | + | 0.280895i | ||||
\(87\) | 13.1930 | − | 4.44649i | 1.41444 | − | 0.476714i | ||||
\(88\) | 5.62713 | + | 8.51410i | 0.599854 | + | 0.907606i | ||||
\(89\) | −0.816610 | + | 0.471470i | −0.0865605 | + | 0.0499757i | −0.542655 | − | 0.839955i | \(-0.682581\pi\) |
0.456095 | + | 0.889931i | \(0.349248\pi\) | |||||||
\(90\) | 12.5354 | + | 6.87684i | 1.32135 | + | 0.724883i | ||||
\(91\) | −1.73883 | − | 8.31708i | −0.182279 | − | 0.871867i | ||||
\(92\) | −2.97400 | + | 0.966312i | −0.310061 | + | 0.100745i | ||||
\(93\) | −0.0934020 | − | 0.203767i | −0.00968533 | − | 0.0211297i | ||||
\(94\) | 6.35976 | − | 14.2843i | 0.655959 | − | 1.47331i | ||||
\(95\) | 18.4906 | + | 3.93030i | 1.89710 | + | 0.403241i | ||||
\(96\) | 4.93754 | − | 2.92303i | 0.503936 | − | 0.298331i | ||||
\(97\) | −8.68614 | + | 3.86732i | −0.881944 | + | 0.392667i | −0.797185 | − | 0.603735i | \(-0.793679\pi\) |
−0.0847586 | + | 0.996402i | \(0.527012\pi\) | |||||||
\(98\) | −0.852781 | + | 1.47706i | −0.0861439 | + | 0.149206i | ||||
\(99\) | 9.86950 | + | 1.26209i | 0.991923 | + | 0.126845i | ||||
\(100\) | −3.45414 | + | 5.98275i | −0.345414 | + | 0.598275i | ||||
\(101\) | −0.0598035 | + | 0.568992i | −0.00595067 | + | 0.0566168i | −0.997094 | − | 0.0761777i | \(-0.975728\pi\) |
0.991144 | + | 0.132795i | \(0.0423950\pi\) | |||||||
\(102\) | 5.84875 | + | 3.29216i | 0.579113 | + | 0.325972i | ||||
\(103\) | −3.02387 | − | 9.30652i | −0.297951 | − | 0.916999i | −0.982214 | − | 0.187764i | \(-0.939876\pi\) |
0.684263 | − | 0.729235i | \(-0.260124\pi\) | |||||||
\(104\) | −1.12284 | − | 11.0377i | −0.110104 | − | 1.08234i | ||||
\(105\) | −16.4246 | − | 1.54518i | −1.60288 | − | 0.150794i | ||||
\(106\) | −1.48000 | − | 1.33260i | −0.143751 | − | 0.129434i | ||||
\(107\) | 2.77828 | − | 0.590542i | 0.268587 | − | 0.0570899i | −0.0716495 | − | 0.997430i | \(-0.522826\pi\) |
0.340236 | + | 0.940340i | \(0.389493\pi\) | |||||||
\(108\) | 0.556629 | − | 3.11759i | 0.0535617 | − | 0.299990i | ||||
\(109\) | − | 13.2744i | − | 1.27146i | −0.771912 | − | 0.635729i | \(-0.780700\pi\) | ||
0.771912 | − | 0.635729i | \(-0.219300\pi\) | |||||||
\(110\) | 2.34691 | − | 15.6317i | 0.223770 | − | 1.49042i | ||||
\(111\) | −7.59718 | + | 2.56051i | −0.721092 | + | 0.243033i | ||||
\(112\) | 3.33776 | − | 4.59403i | 0.315388 | − | 0.434095i | ||||
\(113\) | −5.53945 | + | 4.98774i | −0.521108 | + | 0.469207i | −0.887209 | − | 0.461368i | \(-0.847359\pi\) |
0.366101 | + | 0.930575i | \(0.380692\pi\) | |||||||
\(114\) | 1.10223 | + | 9.48919i | 0.103234 | + | 0.888744i | ||||
\(115\) | 18.9441 | + | 8.43444i | 1.76654 | + | 0.786516i | ||||
\(116\) | −3.96327 | + | 2.87949i | −0.367980 | + | 0.267353i | ||||
\(117\) | −8.86695 | − | 6.19493i | −0.819750 | − | 0.572721i | ||||
\(118\) | 9.40759 | + | 3.05671i | 0.866039 | + | 0.281393i | ||||
\(119\) | −7.70160 | − | 0.809471i | −0.706005 | − | 0.0742041i | ||||
\(120\) | −21.1177 | − | 4.24826i | −1.92778 | − | 0.387812i | ||||
\(121\) | −2.46005 | − | 10.7214i | −0.223641 | − | 0.974672i | ||||
\(122\) | 5.90433i | 0.534553i | ||||||||
\(123\) | −4.29139 | − | 1.34273i | −0.386941 | − | 0.121070i | ||||
\(124\) | 0.0527773 | + | 0.0586151i | 0.00473954 | + | 0.00526379i | ||||
\(125\) | 24.3505 | − | 7.91196i | 2.17798 | − | 0.707667i | ||||
\(126\) | −1.91097 | − | 8.11485i | −0.170243 | − | 0.722928i | ||||
\(127\) | 0.679610 | − | 1.52643i | 0.0603057 | − | 0.135449i | −0.880879 | − | 0.473342i | \(-0.843048\pi\) |
0.941185 | + | 0.337893i | \(0.109714\pi\) | |||||||
\(128\) | 2.45159 | − | 2.72276i | 0.216692 | − | 0.240661i | ||||
\(129\) | −2.40928 | − | 4.06972i | −0.212125 | − | 0.358318i | ||||
\(130\) | −10.1468 | + | 13.8682i | −0.889934 | + | 1.21632i | ||||
\(131\) | −7.76245 | −0.678208 | −0.339104 | − | 0.940749i | \(-0.610124\pi\) | ||||
−0.339104 | + | 0.940749i | \(0.610124\pi\) | |||||||
\(132\) | −3.44701 | + | 0.613203i | −0.300024 | + | 0.0533725i | ||||
\(133\) | −5.51121 | − | 9.54570i | −0.477883 | − | 0.827717i | ||||
\(134\) | −4.60434 | + | 2.04998i | −0.397754 | + | 0.177092i | ||||
\(135\) | −16.5768 | + | 12.8939i | −1.42670 | + | 1.10973i | ||||
\(136\) | −9.89065 | − | 2.10232i | −0.848116 | − | 0.180273i | ||||
\(137\) | 11.0746 | − | 1.16399i | 0.946170 | − | 0.0994464i | 0.381140 | − | 0.924517i | \(-0.375531\pi\) |
0.565029 | + | 0.825071i | \(0.308865\pi\) | |||||||
\(138\) | −0.981535 | + | 10.4333i | −0.0835538 | + | 0.888142i | ||||
\(139\) | −0.301253 | + | 1.41729i | −0.0255520 | + | 0.120213i | −0.989075 | − | 0.147412i | \(-0.952906\pi\) |
0.963523 | + | 0.267625i | \(0.0862389\pi\) | |||||||
\(140\) | 5.67810 | − | 1.20692i | 0.479887 | − | 0.102003i | ||||
\(141\) | 15.5531 | + | 16.8987i | 1.30981 | + | 1.42313i | ||||
\(142\) | 10.3039i | 0.864686i | ||||||||
\(143\) | −3.04055 | + | 11.5653i | −0.254263 | + | 0.967135i | ||||
\(144\) | −0.912422 | − | 7.17103i | −0.0760352 | − | 0.597585i | ||||
\(145\) | 32.3086 | + | 3.39577i | 2.68309 | + | 0.282004i | ||||
\(146\) | 1.92960 | + | 9.07807i | 0.159695 | + | 0.751306i | ||||
\(147\) | −1.49454 | − | 2.01053i | −0.123268 | − | 0.165826i | ||||
\(148\) | 2.28225 | − | 1.65815i | 0.187600 | − | 0.136299i | ||||
\(149\) | −0.202103 | − | 1.92288i | −0.0165569 | − | 0.157528i | 0.983120 | − | 0.182964i | \(-0.0585693\pi\) |
−0.999676 | + | 0.0254359i | \(0.991903\pi\) | |||||||
\(150\) | 13.8115 | + | 18.5799i | 1.12771 | + | 1.51704i | ||||
\(151\) | −23.2184 | − | 7.54412i | −1.88949 | − | 0.613932i | −0.980288 | − | 0.197572i | \(-0.936694\pi\) |
−0.909200 | − | 0.416360i | \(-0.863306\pi\) | |||||||
\(152\) | −5.85388 | − | 13.1480i | −0.474813 | − | 1.06645i | ||||
\(153\) | −7.84705 | + | 5.96730i | −0.634396 | + | 0.482427i | ||||
\(154\) | −7.68910 | + | 5.08187i | −0.619605 | + | 0.409509i | ||||
\(155\) | − | 0.523051i | − | 0.0420125i | ||||||
\(156\) | 3.62865 | + | 1.14869i | 0.290524 | + | 0.0919690i | ||||
\(157\) | −0.319705 | + | 0.983950i | −0.0255152 | + | 0.0785277i | −0.963003 | − | 0.269490i | \(-0.913145\pi\) |
0.937488 | + | 0.348017i | \(0.113145\pi\) | |||||||
\(158\) | −7.15084 | − | 6.43865i | −0.568891 | − | 0.512231i | ||||
\(159\) | 2.65918 | − | 1.21890i | 0.210886 | − | 0.0966654i | ||||
\(160\) | 13.3157 | − | 1.39954i | 1.05270 | − | 0.110643i | ||||
\(161\) | −3.73642 | − | 11.4995i | −0.294471 | − | 0.906288i | ||||
\(162\) | −8.85017 | − | 5.85727i | −0.695335 | − | 0.460190i | ||||
\(163\) | 14.7904 | − | 6.58510i | 1.15847 | − | 0.515785i | 0.264711 | − | 0.964328i | \(-0.414724\pi\) |
0.893761 | + | 0.448543i | \(0.148057\pi\) | |||||||
\(164\) | 1.58223 | 0.123551 | ||||||||
\(165\) | 19.7082 | + | 12.2735i | 1.53428 | + | 0.955489i | ||||
\(166\) | −8.25727 | − | 14.3020i | −0.640889 | − | 1.11005i | ||||
\(167\) | −0.535127 | + | 5.09140i | −0.0414094 | + | 0.393984i | 0.954112 | + | 0.299449i | \(0.0968030\pi\) |
−0.995522 | + | 0.0945347i | \(0.969864\pi\) | |||||||
\(168\) | 6.39842 | + | 10.8081i | 0.493649 | + | 0.833864i | ||||
\(169\) | 8.76305 | − | 9.60255i | 0.674081 | − | 0.738658i | ||||
\(170\) | 9.20547 | + | 12.6702i | 0.706027 | + | 0.971763i | ||||
\(171\) | −13.4364 | − | 4.04360i | −1.02751 | − | 0.309221i | ||||
\(172\) | 1.23671 | + | 1.11354i | 0.0942986 | + | 0.0849068i | ||||
\(173\) | 8.12466 | + | 9.02335i | 0.617706 | + | 0.686033i | 0.968098 | − | 0.250571i | \(-0.0806182\pi\) |
−0.350392 | + | 0.936603i | \(0.613952\pi\) | |||||||
\(174\) | 3.58844 | + | 16.0201i | 0.272039 | + | 1.21448i | ||||
\(175\) | −23.1334 | − | 13.3561i | −1.74872 | − | 1.00962i | ||||
\(176\) | −7.09128 | + | 3.68543i | −0.534525 | + | 0.277800i | ||||
\(177\) | −9.60347 | + | 10.9028i | −0.721841 | + | 0.819506i | ||||
\(178\) | −0.452260 | − | 1.01579i | −0.0338983 | − | 0.0761368i | ||||
\(179\) | 2.01396 | + | 9.47495i | 0.150531 | + | 0.708191i | 0.987071 | + | 0.160285i | \(0.0512415\pi\) |
−0.836540 | + | 0.547906i | \(0.815425\pi\) | |||||||
\(180\) | 4.21202 | − | 6.07187i | 0.313945 | − | 0.452570i | ||||
\(181\) | 5.52654 | − | 4.01527i | 0.410784 | − | 0.298452i | −0.363135 | − | 0.931737i | \(-0.618294\pi\) |
0.773919 | + | 0.633284i | \(0.218294\pi\) | |||||||
\(182\) | 9.96817 | − | 1.01404i | 0.738890 | − | 0.0751656i | ||||
\(183\) | −7.96070 | − | 3.44068i | −0.588472 | − | 0.254342i | ||||
\(184\) | −3.28251 | − | 15.4430i | −0.241990 | − | 1.13847i | ||||
\(185\) | −18.6049 | − | 1.95546i | −1.36786 | − | 0.143768i | ||||
\(186\) | 0.250480 | − | 0.0844205i | 0.0183661 | − | 0.00619001i | ||||
\(187\) | 9.18792 | + | 5.86204i | 0.671887 | + | 0.428675i | ||||
\(188\) | −6.99872 | − | 4.04071i | −0.510434 | − | 0.294699i | ||||
\(189\) | 12.0547 | + | 2.15231i | 0.876850 | + | 0.156557i | ||||
\(190\) | −6.88843 | + | 21.2004i | −0.499739 | + | 1.53804i | ||||
\(191\) | −2.56569 | + | 12.0706i | −0.185647 | + | 0.873400i | 0.782428 | + | 0.622741i | \(0.213981\pi\) |
−0.968075 | + | 0.250660i | \(0.919353\pi\) | |||||||
\(192\) | 6.29752 | + | 13.7388i | 0.454485 | + | 0.991510i | ||||
\(193\) | −2.45206 | + | 5.50741i | −0.176503 | + | 0.396432i | −0.980034 | − | 0.198831i | \(-0.936286\pi\) |
0.803531 | + | 0.595263i | \(0.202952\pi\) | |||||||
\(194\) | −3.46473 | − | 10.6633i | −0.248753 | − | 0.765584i | ||||
\(195\) | −12.7853 | − | 21.7623i | −0.915577 | − | 1.55843i | ||||
\(196\) | 0.713157 | + | 0.518139i | 0.0509398 | + | 0.0370099i | ||||
\(197\) | −6.69329 | − | 11.5931i | −0.476877 | − | 0.825976i | 0.522772 | − | 0.852473i | \(-0.324898\pi\) |
−0.999649 | + | 0.0264971i | \(0.991565\pi\) | |||||||
\(198\) | −2.69664 | + | 11.4189i | −0.191642 | + | 0.811504i | ||||
\(199\) | −12.3292 | + | 21.3548i | −0.873994 | + | 1.51380i | −0.0161630 | + | 0.999869i | \(0.505145\pi\) |
−0.857831 | + | 0.513932i | \(0.828188\pi\) | |||||||
\(200\) | −28.2176 | − | 20.5013i | −1.99528 | − | 1.44966i | ||||
\(201\) | −0.0808300 | − | 7.40255i | −0.00570131 | − | 0.522135i | ||||
\(202\) | −0.659913 | − | 0.140269i | −0.0464313 | − | 0.00986928i | ||||
\(203\) | −11.1340 | − | 15.3247i | −0.781457 | − | 1.07558i | ||||
\(204\) | 2.00819 | − | 2.82848i | 0.140602 | − | 0.198033i | ||||
\(205\) | −7.79742 | − | 7.02083i | −0.544595 | − | 0.490356i | ||||
\(206\) | 11.2869 | − | 2.39911i | 0.786398 | − | 0.167154i | ||||
\(207\) | −13.4951 | − | 7.40327i | −0.937971 | − | 0.514563i | ||||
\(208\) | 8.68794 | + | 0.0290241i | 0.602400 | + | 0.00201246i | ||||
\(209\) | 0.936610 | + | 15.4843i | 0.0647867 | + | 1.07107i | ||||
\(210\) | 3.83662 | − | 19.0715i | 0.264752 | − | 1.31606i | ||||
\(211\) | −13.9286 | − | 1.46395i | −0.958882 | − | 0.100783i | −0.387861 | − | 0.921718i | \(-0.626786\pi\) |
−0.571021 | + | 0.820935i | \(0.693453\pi\) | |||||||
\(212\) | −0.764933 | + | 0.688748i | −0.0525358 | + | 0.0473034i | ||||
\(213\) | −13.8926 | − | 6.00449i | −0.951905 | − | 0.411421i | ||||
\(214\) | 0.350104 | + | 3.33102i | 0.0239326 | + | 0.227704i | ||||
\(215\) | −1.15356 | − | 10.9753i | −0.0786718 | − | 0.748513i | ||||
\(216\) | 15.3602 | + | 4.44023i | 1.04513 | + | 0.302120i | ||||
\(217\) | −0.226646 | + | 0.204073i | −0.0153857 | + | 0.0138534i | ||||
\(218\) | 15.5675 | + | 1.63621i | 1.05437 | + | 0.110818i | ||||
\(219\) | −13.3642 | − | 2.68849i | −0.903072 | − | 0.181671i | ||||
\(220\) | −7.90810 | − | 2.05085i | −0.533164 | − | 0.138268i | ||||
\(221\) | −5.88975 | − | 10.2805i | −0.396188 | − | 0.691542i | ||||
\(222\) | −2.06640 | − | 9.22519i | −0.138688 | − | 0.619154i | ||||
\(223\) | −5.51167 | + | 1.17154i | −0.369089 | + | 0.0784523i | −0.388722 | − | 0.921355i | \(-0.627083\pi\) |
0.0196333 | + | 0.999807i | \(0.493750\pi\) | |||||||
\(224\) | −5.80169 | − | 5.22386i | −0.387642 | − | 0.349034i | ||||
\(225\) | −33.0994 | + | 7.79461i | −2.20663 | + | 0.519641i | ||||
\(226\) | −5.16657 | − | 7.11117i | −0.343675 | − | 0.473028i | ||||
\(227\) | 0.193614 | + | 0.0411539i | 0.0128506 | + | 0.00273148i | 0.214333 | − | 0.976761i | \(-0.431242\pi\) |
−0.201482 | + | 0.979492i | \(0.564576\pi\) | |||||||
\(228\) | 4.93712 | − | 0.0539095i | 0.326969 | − | 0.00357024i | ||||
\(229\) | 17.4997 | + | 12.7143i | 1.15641 | + | 0.840184i | 0.989320 | − | 0.145756i | \(-0.0465616\pi\) |
0.167094 | + | 0.985941i | \(0.446562\pi\) | |||||||
\(230\) | −12.2265 | + | 21.1770i | −0.806194 | + | 1.39637i | ||||
\(231\) | −2.37106 | − | 13.3285i | −0.156004 | − | 0.876949i | ||||
\(232\) | −12.3668 | − | 21.4200i | −0.811921 | − | 1.40629i | ||||
\(233\) | 9.17623 | + | 6.66692i | 0.601155 | + | 0.436765i | 0.846289 | − | 0.532725i | \(-0.178832\pi\) |
−0.245134 | + | 0.969489i | \(0.578832\pi\) | |||||||
\(234\) | 8.35804 | − | 9.63511i | 0.546382 | − | 0.629867i | ||||
\(235\) | 16.5607 | + | 50.9685i | 1.08030 | + | 3.32482i | ||||
\(236\) | 2.07944 | − | 4.67049i | 0.135360 | − | 0.304023i | ||||
\(237\) | 12.8482 | − | 5.88930i | 0.834579 | − | 0.382551i | ||||
\(238\) | 1.89861 | − | 8.93227i | 0.123069 | − | 0.578993i | ||||
\(239\) | 2.49157 | − | 7.66825i | 0.161166 | − | 0.496018i | −0.837567 | − | 0.546334i | \(-0.816023\pi\) |
0.998733 | + | 0.0503162i | \(0.0160229\pi\) | |||||||
\(240\) | 5.03707 | − | 16.0985i | 0.325141 | − | 1.03915i | ||||
\(241\) | 2.27675 | + | 1.31448i | 0.146659 | + | 0.0846734i | 0.571534 | − | 0.820579i | \(-0.306349\pi\) |
−0.424875 | + | 0.905252i | \(0.639682\pi\) | |||||||
\(242\) | 12.8767 | − | 1.56349i | 0.827747 | − | 0.100505i | ||||
\(243\) | 13.0546 | − | 8.51927i | 0.837452 | − | 0.546511i | ||||
\(244\) | 3.03491 | + | 0.318981i | 0.194290 | + | 0.0204207i | ||||
\(245\) | −1.21539 | − | 5.71795i | −0.0776482 | − | 0.365306i | ||||
\(246\) | 2.10365 | − | 4.86721i | 0.134124 | − | 0.310322i | ||||
\(247\) | 6.91063 | − | 15.3830i | 0.439713 | − | 0.978797i | ||||
\(248\) | −0.322170 | + | 0.234070i | −0.0204578 | + | 0.0148635i | ||||
\(249\) | 24.0950 | − | 2.79879i | 1.52696 | − | 0.177366i | ||||
\(250\) | 6.27727 | + | 29.5322i | 0.397010 | + | 1.86778i | ||||
\(251\) | −2.66510 | − | 5.98592i | −0.168220 | − | 0.377828i | 0.809689 | − | 0.586859i | \(-0.199636\pi\) |
−0.977909 | + | 0.209031i | \(0.932969\pi\) | |||||||
\(252\) | −4.27438 | + | 0.543861i | −0.269261 | + | 0.0342600i | ||||
\(253\) | −2.52657 | + | 16.8283i | −0.158844 | + | 1.05799i | ||||
\(254\) | 1.70635 | + | 0.985161i | 0.107066 | + | 0.0618145i | ||||
\(255\) | −22.4474 | + | 5.02813i | −1.40571 | + | 0.314874i | ||||
\(256\) | −8.78631 | − | 9.75818i | −0.549144 | − | 0.609886i | ||||
\(257\) | 21.8064 | + | 19.6345i | 1.36024 | + | 1.22477i | 0.949790 | + | 0.312888i | \(0.101296\pi\) |
0.410454 | + | 0.911881i | \(0.365370\pi\) | |||||||
\(258\) | 5.06972 | − | 2.32384i | 0.315627 | − | 0.144676i | ||||
\(259\) | 6.41154 | + | 8.82473i | 0.398394 | + | 0.548342i | ||||
\(260\) | 6.58027 | + | 5.96483i | 0.408091 | + | 0.369923i | ||||
\(261\) | −23.6908 | − | 4.49732i | −1.46642 | − | 0.278377i | ||||
\(262\) | 0.956806 | − | 9.10340i | 0.0591116 | − | 0.562410i | ||||
\(263\) | −3.89294 | − | 6.74277i | −0.240049 | − | 0.415777i | 0.720679 | − | 0.693269i | \(-0.243830\pi\) |
−0.960728 | + | 0.277492i | \(0.910497\pi\) | |||||||
\(264\) | −1.25986 | − | 17.6317i | −0.0775388 | − | 1.08515i | ||||
\(265\) | 6.82587 | 0.419310 | ||||||||
\(266\) | 11.8740 | − | 5.28665i | 0.728043 | − | 0.324146i | ||||
\(267\) | 1.63312 | − | 0.0178324i | 0.0999455 | − | 0.00109133i | ||||
\(268\) | 0.804970 | + | 2.47744i | 0.0491714 | + | 0.151334i | ||||
\(269\) | −2.62251 | + | 0.275637i | −0.159897 | + | 0.0168059i | −0.184139 | − | 0.982900i | \(-0.558950\pi\) |
0.0242416 | + | 0.999706i | \(0.492283\pi\) | |||||||
\(270\) | −13.0780 | − | 21.0297i | −0.795905 | − | 1.27983i | ||||
\(271\) | −10.9056 | − | 9.81945i | −0.662468 | − | 0.596489i | 0.267753 | − | 0.963488i | \(-0.413719\pi\) |
−0.930222 | + | 0.366998i | \(0.880385\pi\) | |||||||
\(272\) | 2.44685 | − | 7.53064i | 0.148362 | − | 0.456612i | ||||
\(273\) | −4.44162 | + | 14.0308i | −0.268819 | + | 0.849184i | ||||
\(274\) | 13.1312i | 0.793287i | ||||||||
\(275\) | 20.7283 | + | 31.3628i | 1.24996 | + | 1.89125i | ||||
\(276\) | 5.30983 | + | 1.06818i | 0.319614 | + | 0.0642970i | ||||
\(277\) | −0.359790 | − | 0.808102i | −0.0216177 | − | 0.0485542i | 0.902414 | − | 0.430870i | \(-0.141793\pi\) |
−0.924032 | + | 0.382316i | \(0.875127\pi\) | |||||||
\(278\) | −1.62499 | − | 0.527990i | −0.0974603 | − | 0.0316668i | ||||
\(279\) | −0.0321418 | + | 0.386913i | −0.00192428 | + | 0.0231639i | ||||
\(280\) | 3.06355 | + | 29.1477i | 0.183082 | + | 1.74191i | ||||
\(281\) | 8.23357 | − | 5.98204i | 0.491174 | − | 0.356858i | −0.314462 | − | 0.949270i | \(-0.601824\pi\) |
0.805635 | + | 0.592412i | \(0.201824\pi\) | |||||||
\(282\) | −21.7351 | + | 16.1570i | −1.29430 | + | 0.962132i | ||||
\(283\) | −0.839787 | − | 3.95089i | −0.0499202 | − | 0.234856i | 0.946113 | − | 0.323836i | \(-0.104973\pi\) |
−0.996033 | + | 0.0889800i | \(0.971639\pi\) | |||||||
\(284\) | 5.29636 | + | 0.556670i | 0.314281 | + | 0.0330323i | ||||
\(285\) | −24.5700 | − | 21.6418i | −1.45540 | − | 1.28195i | ||||
\(286\) | −13.1884 | − | 4.99134i | −0.779844 | − | 0.295144i | ||||
\(287\) | 6.11797i | 0.361132i | ||||||||
\(288\) | −9.93596 | + | 0.217012i | −0.585482 | + | 0.0127875i | ||||
\(289\) | 6.06617 | − | 1.28940i | 0.356833 | − | 0.0758472i | ||||
\(290\) | −7.96478 | + | 37.4713i | −0.467708 | + | 2.20039i | ||||
\(291\) | 16.3962 | + | 1.54251i | 0.961164 | + | 0.0904234i | ||||
\(292\) | 4.77050 | − | 0.501399i | 0.279172 | − | 0.0293422i | ||||
\(293\) | −12.3518 | − | 2.62546i | −0.721600 | − | 0.153381i | −0.167549 | − | 0.985864i | \(-0.553585\pi\) |
−0.554051 | + | 0.832483i | \(0.686919\pi\) | |||||||
\(294\) | 2.54206 | − | 1.50491i | 0.148256 | − | 0.0877678i | ||||
\(295\) | −30.9721 | + | 13.7897i | −1.80327 | + | 0.802865i | ||||
\(296\) | 7.12143 | + | 12.3347i | 0.413925 | + | 0.716939i | ||||
\(297\) | −13.8244 | − | 10.2901i | −0.802175 | − | 0.597089i | ||||
\(298\) | 2.27996 | 0.132075 | ||||||||
\(299\) | 10.9236 | − | 14.9299i | 0.631726 | − | 0.863416i | ||||
\(300\) | 10.2965 | − | 6.09554i | 0.594468 | − | 0.351926i | ||||
\(301\) | −4.30571 | + | 4.78198i | −0.248177 | + | 0.275629i | ||||
\(302\) | 11.7093 | − | 26.2995i | 0.673793 | − | 1.51336i | ||||
\(303\) | 0.573679 | − | 0.808009i | 0.0329570 | − | 0.0464189i | ||||
\(304\) | 10.7187 | − | 3.48272i | 0.614759 | − | 0.199747i | ||||
\(305\) | −13.5410 | − | 15.0388i | −0.775354 | − | 0.861117i | ||||
\(306\) | −6.03090 | − | 9.93815i | −0.344764 | − | 0.568126i | ||||
\(307\) | 8.71729i | 0.497522i | 0.968565 | + | 0.248761i | \(0.0800233\pi\) | ||||
−0.968565 | + | 0.248761i | \(0.919977\pi\) | |||||||
\(308\) | 2.19675 | + | 4.22685i | 0.125171 | + | 0.240847i | ||||
\(309\) | −3.34265 | + | 16.6160i | −0.190157 | + | 0.945253i | ||||
\(310\) | 0.613408 | + | 0.0644717i | 0.0348392 | + | 0.00366175i | ||||
\(311\) | 23.4789 | + | 7.62876i | 1.33137 | + | 0.432588i | 0.886384 | − | 0.462951i | \(-0.153209\pi\) |
0.444984 | + | 0.895539i | \(0.353209\pi\) | |||||||
\(312\) | −7.68281 | + | 17.6139i | −0.434953 | + | 0.997190i | ||||
\(313\) | 5.17840 | − | 3.76233i | 0.292701 | − | 0.212659i | −0.431737 | − | 0.901999i | \(-0.642099\pi\) |
0.724438 | + | 0.689340i | \(0.242099\pi\) | |||||||
\(314\) | −1.11452 | − | 0.496216i | −0.0628959 | − | 0.0280031i | ||||
\(315\) | 23.4780 | + | 16.2865i | 1.32283 | + | 0.917641i | ||||
\(316\) | −3.69588 | + | 3.32778i | −0.207909 | + | 0.187202i | ||||
\(317\) | −11.3465 | + | 15.6171i | −0.637282 | + | 0.877143i | −0.998467 | − | 0.0553511i | \(-0.982372\pi\) |
0.361185 | + | 0.932494i | \(0.382372\pi\) | |||||||
\(318\) | 1.10170 | + | 3.26879i | 0.0617800 | + | 0.183305i | ||||
\(319\) | 4.38230 | + | 26.2962i | 0.245362 | + | 1.47231i | ||||
\(320\) | 35.2662i | 1.97144i | ||||||||
\(321\) | −4.69517 | − | 1.46907i | −0.262059 | − | 0.0819957i | ||||
\(322\) | 13.9466 | − | 2.96444i | 0.777213 | − | 0.165202i | ||||
\(323\) | −11.4219 | − | 10.2844i | −0.635533 | − | 0.572237i | ||||
\(324\) | −3.48885 | + | 4.23267i | −0.193825 | + | 0.235148i | ||||
\(325\) | −4.13614 | − | 40.6589i | −0.229432 | − | 2.25535i | ||||
\(326\) | 5.89959 | + | 18.1571i | 0.326748 | + | 1.00563i | ||||
\(327\) | −11.2779 | + | 20.0359i | −0.623668 | + | 1.10799i | ||||
\(328\) | −0.835017 | + | 7.94466i | −0.0461061 | + | 0.438670i | ||||
\(329\) | 15.6241 | − | 27.0618i | 0.861386 | − | 1.49196i | ||||
\(330\) | −16.8230 | + | 21.6000i | −0.926073 | + | 1.18904i | ||||
\(331\) | −8.44485 | + | 14.6269i | −0.464171 | + | 0.803968i | −0.999164 | − | 0.0408887i | \(-0.986981\pi\) |
0.534993 | + | 0.844857i | \(0.320314\pi\) | |||||||
\(332\) | −7.79753 | + | 3.47168i | −0.427945 | + | 0.190533i | ||||
\(333\) | 13.6423 | + | 2.58978i | 0.747595 | + | 0.141919i | ||||
\(334\) | −5.90497 | − | 1.25514i | −0.323105 | − | 0.0686782i | ||||
\(335\) | 7.02617 | − | 15.7810i | 0.383881 | − | 0.862210i | ||||
\(336\) | −8.94097 | + | 4.09833i | −0.487770 | + | 0.223582i | ||||
\(337\) | −5.32669 | + | 1.73075i | −0.290164 | + | 0.0942799i | −0.450482 | − | 0.892785i | \(-0.648748\pi\) |
0.160318 | + | 0.987065i | \(0.448748\pi\) | |||||||
\(338\) | 10.1812 | + | 11.4605i | 0.553786 | + | 0.623368i | ||||
\(339\) | 12.5986 | − | 2.82204i | 0.684263 | − | 0.153272i | ||||
\(340\) | 7.01000 | − | 4.04723i | 0.380171 | − | 0.219492i | ||||
\(341\) | 0.413688 | − | 0.114426i | 0.0224025 | − | 0.00619654i | ||||
\(342\) | 6.39830 | − | 15.2591i | 0.345981 | − | 0.825119i | ||||
\(343\) | −11.6998 | + | 16.1033i | −0.631728 | + | 0.869499i | ||||
\(344\) | −6.24397 | + | 5.62210i | −0.336653 | + | 0.303123i | ||||
\(345\) | −21.4277 | − | 28.8255i | −1.15363 | − | 1.55191i | ||||
\(346\) | −11.5836 | + | 8.41596i | −0.622737 | + | 0.452445i | ||||
\(347\) | 0.290785 | + | 2.76663i | 0.0156102 | + | 0.148521i | 0.999551 | − | 0.0299763i | \(-0.00954318\pi\) |
−0.983940 | + | 0.178497i | \(0.942877\pi\) | |||||||
\(348\) | 8.42843 | − | 0.979019i | 0.451811 | − | 0.0524809i | ||||
\(349\) | 1.16232 | + | 5.46829i | 0.0622176 | + | 0.292711i | 0.998245 | − | 0.0592159i | \(-0.0188600\pi\) |
−0.936028 | + | 0.351926i | \(0.885527\pi\) | |||||||
\(350\) | 18.5147 | − | 25.4833i | 0.989654 | − | 1.36214i | ||||
\(351\) | 8.12030 | + | 16.8837i | 0.433429 | + | 0.901188i | ||||
\(352\) | 4.01996 | + | 10.2254i | 0.214265 | + | 0.545017i | ||||
\(353\) | 15.7025 | − | 9.06584i | 0.835760 | − | 0.482526i | −0.0200610 | − | 0.999799i | \(-0.506386\pi\) |
0.855821 | + | 0.517273i | \(0.173053\pi\) | |||||||
\(354\) | −11.6025 | − | 12.6063i | −0.616668 | − | 0.670020i | ||||
\(355\) | −23.6310 | − | 26.2449i | −1.25420 | − | 1.39293i | ||||
\(356\) | −0.546564 | + | 0.177590i | −0.0289679 | + | 0.00941223i | ||||
\(357\) | 10.9368 | + | 7.76504i | 0.578838 | + | 0.410969i | ||||
\(358\) | −11.3600 | + | 1.19398i | −0.600394 | + | 0.0631039i | ||||
\(359\) | 5.73877 | + | 17.6621i | 0.302881 | + | 0.932172i | 0.980459 | + | 0.196721i | \(0.0630294\pi\) |
−0.677579 | + | 0.735450i | \(0.736971\pi\) | |||||||
\(360\) | 28.2651 | + | 24.3537i | 1.48970 | + | 1.28355i | ||||
\(361\) | 0.300670 | − | 2.86068i | 0.0158247 | − | 0.150562i | ||||
\(362\) | 4.02769 | + | 6.97617i | 0.211691 | + | 0.366659i | ||||
\(363\) | −5.39574 | + | 18.2725i | −0.283203 | + | 0.959060i | ||||
\(364\) | 0.0173002 | − | 5.17856i | 0.000906776 | − | 0.271430i | ||||
\(365\) | −25.7345 | − | 18.6972i | −1.34700 | − | 0.978655i | ||||
\(366\) | 5.01629 | − | 8.91180i | 0.262206 | − | 0.465827i | ||||
\(367\) | 5.12568 | − | 5.69265i | 0.267558 | − | 0.297154i | −0.594362 | − | 0.804198i | \(-0.702595\pi\) |
0.861920 | + | 0.507044i | \(0.169262\pi\) | |||||||
\(368\) | 12.2955 | − | 1.29231i | 0.640947 | − | 0.0673662i | ||||
\(369\) | 5.33649 | + | 5.67262i | 0.277807 | + | 0.295305i | ||||
\(370\) | 4.58652 | − | 21.5779i | 0.238442 | − | 1.12178i | ||||
\(371\) | −2.66317 | − | 2.95775i | −0.138265 | − | 0.153559i | ||||
\(372\) | −0.0298611 | − | 0.133311i | −0.00154823 | − | 0.00691186i | ||||
\(373\) | 31.2499 | + | 18.0422i | 1.61806 | + | 0.934188i | 0.987421 | + | 0.158111i | \(0.0505405\pi\) |
0.630639 | + | 0.776076i | \(0.282793\pi\) | |||||||
\(374\) | −8.00721 | + | 10.0526i | −0.414043 | + | 0.519806i | ||||
\(375\) | −43.4758 | − | 8.74604i | −2.24508 | − | 0.451644i | ||||
\(376\) | 23.9827 | − | 33.0094i | 1.23681 | − | 1.70233i | ||||
\(377\) | 9.04773 | − | 27.5327i | 0.465982 | − | 1.41801i | ||||
\(378\) | −4.00999 | + | 13.8718i | −0.206251 | + | 0.713490i | ||||
\(379\) | −17.6970 | − | 7.87921i | −0.909034 | − | 0.404728i | −0.101695 | − | 0.994816i | \(-0.532427\pi\) |
−0.807339 | + | 0.590088i | \(0.799093\pi\) | |||||||
\(380\) | 10.5251 | + | 4.68610i | 0.539929 | + | 0.240392i | ||||
\(381\) | −2.32263 | + | 1.72655i | −0.118992 | + | 0.0884537i | ||||
\(382\) | −13.8396 | − | 4.49675i | −0.708094 | − | 0.230074i | ||||
\(383\) | 11.4021 | + | 25.6095i | 0.582620 | + | 1.30859i | 0.928857 | + | 0.370439i | \(0.120793\pi\) |
−0.346236 | + | 0.938147i | \(0.612540\pi\) | |||||||
\(384\) | −6.01360 | + | 2.02679i | −0.306880 | + | 0.103429i | ||||
\(385\) | 7.92996 | − | 30.5781i | 0.404148 | − | 1.55840i | ||||
\(386\) | −6.15657 | − | 3.55450i | −0.313361 | − | 0.180919i | ||||
\(387\) | 0.178869 | + | 8.18960i | 0.00909244 | + | 0.416301i | ||||
\(388\) | −5.66829 | + | 1.20483i | −0.287764 | + | 0.0611661i | ||||
\(389\) | 8.31602 | − | 2.70204i | 0.421639 | − | 0.136999i | −0.0905099 | − | 0.995896i | \(-0.528850\pi\) |
0.512149 | + | 0.858897i | \(0.328850\pi\) | |||||||
\(390\) | 27.0976 | − | 12.3115i | 1.37214 | − | 0.623419i | ||||
\(391\) | −9.91016 | − | 13.6402i | −0.501179 | − | 0.689813i | ||||
\(392\) | −2.97804 | + | 3.30745i | −0.150414 | + | 0.167051i | ||||
\(393\) | 11.7164 | + | 6.59494i | 0.591013 | + | 0.332671i | ||||
\(394\) | 14.4208 | − | 6.42057i | 0.726511 | − | 0.323464i | ||||
\(395\) | 32.9801 | 1.65941 | ||||||||
\(396\) | 5.72377 | + | 2.00302i | 0.287630 | + | 0.100655i | ||||
\(397\) | 7.85299 | − | 13.6018i | 0.394130 | − | 0.682654i | −0.598859 | − | 0.800854i | \(-0.704379\pi\) |
0.992990 | + | 0.118200i | \(0.0377125\pi\) | |||||||
\(398\) | −23.5241 | − | 17.0913i | −1.17916 | − | 0.856707i | ||||
\(399\) | 0.208451 | + | 19.0903i | 0.0104356 | + | 0.955708i | ||||
\(400\) | 18.2759 | − | 20.2974i | 0.913793 | − | 1.01487i | ||||
\(401\) | −15.2510 | + | 34.2542i | −0.761597 | + | 1.71058i | −0.0597875 | + | 0.998211i | \(0.519042\pi\) |
−0.701810 | + | 0.712364i | \(0.747624\pi\) | |||||||
\(402\) | 8.69129 | + | 0.817651i | 0.433482 | + | 0.0407807i | ||||
\(403\) | −0.456090 | − | 0.0985386i | −0.0227195 | − | 0.00490856i | ||||
\(404\) | −0.107752 | + | 0.331626i | −0.00536086 | + | 0.0164990i | ||||
\(405\) | 35.9751 | − | 5.37805i | 1.78762 | − | 0.267238i | ||||
\(406\) | 19.3444 | − | 11.1685i | 0.960047 | − | 0.554283i | ||||
\(407\) | −2.52355 | − | 15.1427i | −0.125088 | − | 0.750594i | ||||
\(408\) | 13.1425 | + | 11.5762i | 0.650650 | + | 0.573109i | ||||
\(409\) | 8.72351 | + | 19.5933i | 0.431350 | + | 0.968827i | 0.990213 | + | 0.139567i | \(0.0445711\pi\) |
−0.558863 | + | 0.829260i | \(0.688762\pi\) | |||||||
\(410\) | 9.19478 | − | 8.27902i | 0.454098 | − | 0.408871i | ||||
\(411\) | −17.7046 | − | 7.65207i | −0.873303 | − | 0.377449i | ||||
\(412\) | −0.623400 | − | 5.93125i | −0.0307127 | − | 0.292212i | ||||
\(413\) | 18.0593 | + | 8.04051i | 0.888639 | + | 0.395648i | ||||
\(414\) | 10.3456 | − | 14.9138i | 0.508458 | − | 0.732972i | ||||
\(415\) | 53.8321 | + | 17.4911i | 2.64251 | + | 0.858604i | ||||
\(416\) | 1.28821 | − | 11.8747i | 0.0631595 | − | 0.582206i | ||||
\(417\) | 1.65882 | − | 1.88326i | 0.0812329 | − | 0.0922236i | ||||
\(418\) | −18.2746 | − | 0.810200i | −0.893842 | − | 0.0396282i | ||||
\(419\) | −23.2491 | + | 13.4229i | −1.13579 | + | 0.655751i | −0.945386 | − | 0.325954i | \(-0.894314\pi\) |
−0.190408 | + | 0.981705i | \(0.560981\pi\) | |||||||
\(420\) | −9.59572 | − | 3.00241i | −0.468223 | − | 0.146503i | ||||
\(421\) | −4.82141 | + | 14.8388i | −0.234981 | + | 0.723197i | 0.762143 | + | 0.647409i | \(0.224147\pi\) |
−0.997124 | + | 0.0757884i | \(0.975853\pi\) | |||||||
\(422\) | 3.43369 | − | 16.1543i | 0.167150 | − | 0.786377i | ||||
\(423\) | −9.11827 | − | 38.7203i | −0.443345 | − | 1.88264i | ||||
\(424\) | −3.05464 | − | 4.20435i | −0.148346 | − | 0.204181i | ||||
\(425\) | −36.4336 | − | 7.74419i | −1.76729 | − | 0.375649i | ||||
\(426\) | 8.75417 | − | 15.5524i | 0.424141 | − | 0.753516i | ||||
\(427\) | −1.23340 | + | 11.7350i | −0.0596883 | + | 0.567897i | ||||
\(428\) | 1.73110 | 0.0836760 | ||||||||
\(429\) | 14.4151 | − | 14.8730i | 0.695967 | − | 0.718074i | ||||
\(430\) | 13.0135 | 0.627567 | ||||||||
\(431\) | 0.383881 | − | 3.65238i | 0.0184909 | − | 0.175929i | −0.981379 | − | 0.192083i | \(-0.938476\pi\) |
0.999870 | + | 0.0161543i | \(0.00514229\pi\) | |||||||
\(432\) | −4.71529 | + | 11.5989i | −0.226865 | + | 0.558052i | ||||
\(433\) | −16.1407 | − | 3.43081i | −0.775673 | − | 0.164874i | −0.196966 | − | 0.980410i | \(-0.563109\pi\) |
−0.578706 | + | 0.815536i | \(0.696442\pi\) | |||||||
\(434\) | −0.211390 | − | 0.290953i | −0.0101470 | − | 0.0139662i | ||||
\(435\) | −45.8805 | − | 32.5747i | −2.19980 | − | 1.56184i | ||||
\(436\) | 1.68207 | − | 7.91353i | 0.0805567 | − | 0.378989i | ||||
\(437\) | 7.41575 | − | 22.8233i | 0.354743 | − | 1.09179i | ||||
\(438\) | 4.80021 | − | 15.3415i | 0.229363 | − | 0.733046i | ||||
\(439\) | 5.08066 | − | 2.93332i | 0.242486 | − | 0.140000i | −0.373833 | − | 0.927496i | \(-0.621957\pi\) |
0.616319 | + | 0.787497i | \(0.288623\pi\) | |||||||
\(440\) | 14.4712 | − | 38.6257i | 0.689885 | − | 1.84141i | ||||
\(441\) | 0.547678 | + | 4.30438i | 0.0260799 | + | 0.204971i | ||||
\(442\) | 12.7824 | − | 5.64001i | 0.607998 | − | 0.268268i | ||||
\(443\) | 8.62372 | + | 2.80202i | 0.409725 | + | 0.133128i | 0.506625 | − | 0.862166i | \(-0.330893\pi\) |
−0.0969001 | + | 0.995294i | \(0.530893\pi\) | |||||||
\(444\) | −4.85351 | + | 0.563768i | −0.230337 | + | 0.0267552i | ||||
\(445\) | 3.48155 | + | 1.55009i | 0.165041 | + | 0.0734812i | ||||
\(446\) | −0.694551 | − | 6.60821i | −0.0328879 | − | 0.312908i | ||||
\(447\) | −1.32862 | + | 3.07403i | −0.0628417 | + | 0.145397i | ||||
\(448\) | 15.2813 | − | 13.7594i | 0.721976 | − | 0.650070i | ||||
\(449\) | 2.47277 | + | 5.55392i | 0.116697 | + | 0.262106i | 0.962445 | − | 0.271477i | \(-0.0875120\pi\) |
−0.845748 | + | 0.533583i | \(0.820845\pi\) | |||||||
\(450\) | −5.06126 | − | 39.7781i | −0.238590 | − | 1.87516i | ||||
\(451\) | 3.84705 | − | 7.70301i | 0.181150 | − | 0.362720i | ||||
\(452\) | −3.93436 | + | 2.27151i | −0.185057 | + | 0.106843i | ||||
\(453\) | 28.6356 | + | 31.1131i | 1.34542 | + | 1.46182i | ||||
\(454\) | −0.0721282 | + | 0.221988i | −0.00338515 | + | 0.0104184i | ||||
\(455\) | −23.0641 | + | 25.4438i | −1.08126 | + | 1.19282i | ||||
\(456\) | −2.33486 | + | 24.8186i | −0.109340 | + | 1.16224i | ||||
\(457\) | 6.11398 | − | 13.7322i | 0.286000 | − | 0.642367i | −0.712223 | − | 0.701953i | \(-0.752312\pi\) |
0.998223 | + | 0.0595864i | \(0.0189782\pi\) | |||||||
\(458\) | −17.0677 | + | 18.9556i | −0.797521 | + | 0.885737i | ||||
\(459\) | 16.9139 | − | 2.34001i | 0.789472 | − | 0.109222i | ||||
\(460\) | 10.2247 | + | 7.42869i | 0.476730 | + | 0.346365i | ||||
\(461\) | 0.851690 | − | 1.47517i | 0.0396671 | − | 0.0687055i | −0.845510 | − | 0.533959i | \(-0.820704\pi\) |
0.885177 | + | 0.465254i | \(0.154037\pi\) | |||||||
\(462\) | 15.9232 | − | 1.13778i | 0.740814 | − | 0.0529343i | ||||
\(463\) | 18.6071 | 0.864745 | 0.432372 | − | 0.901695i | \(-0.357677\pi\) | ||||
0.432372 | + | 0.901695i | \(0.357677\pi\) | |||||||
\(464\) | 17.6939 | − | 7.87782i | 0.821417 | − | 0.365719i | ||||
\(465\) | −0.444382 | + | 0.789476i | −0.0206077 | + | 0.0366111i | ||||
\(466\) | −8.94969 | + | 9.93964i | −0.414587 | + | 0.460445i | ||||
\(467\) | 2.21459 | + | 3.04813i | 0.102479 | + | 0.141051i | 0.857177 | − | 0.515022i | \(-0.172216\pi\) |
−0.754698 | + | 0.656073i | \(0.772216\pi\) | |||||||
\(468\) | −4.50104 | − | 4.81668i | −0.208060 | − | 0.222651i | ||||
\(469\) | −9.57947 | + | 3.11256i | −0.442339 | + | 0.143725i | ||||
\(470\) | −61.8146 | + | 13.1391i | −2.85129 | + | 0.606061i | ||||
\(471\) | 1.31851 | − | 1.21352i | 0.0607538 | − | 0.0559161i | ||||
\(472\) | 22.3540 | + | 12.9061i | 1.02892 | + | 0.594050i | ||||
\(473\) | 8.42819 | − | 3.31341i | 0.387529 | − | 0.152351i | ||||
\(474\) | 5.32299 | + | 15.7936i | 0.244493 | + | 0.725424i | ||||
\(475\) | −21.5636 | − | 48.4326i | −0.989405 | − | 2.22224i | ||||
\(476\) | −4.48873 | − | 1.45848i | −0.205741 | − | 0.0668492i | ||||
\(477\) | −5.04925 | − | 0.419454i | −0.231189 | − | 0.0192055i | ||||
\(478\) | 8.68582 | + | 3.86717i | 0.397280 | + | 0.176880i | ||||
\(479\) | −13.9432 | − | 6.20792i | −0.637082 | − | 0.283647i | 0.0626686 | − | 0.998034i | \(-0.480039\pi\) |
−0.699751 | + | 0.714387i | \(0.746706\pi\) | |||||||
\(480\) | −21.2874 | − | 9.20058i | −0.971631 | − | 0.419947i | ||||
\(481\) | −5.21013 | + | 15.8547i | −0.237562 | + | 0.722913i | ||||
\(482\) | −1.82219 | + | 2.50803i | −0.0829987 | + | 0.114238i | ||||
\(483\) | −4.13031 | + | 20.5314i | −0.187936 | + | 0.934212i | ||||
\(484\) | −0.107989 | − | 6.70328i | −0.00490859 | − | 0.304694i | ||||
\(485\) | 33.2802 | + | 19.2143i | 1.51118 | + | 0.872478i | ||||
\(486\) | 8.38184 | + | 16.3598i | 0.380208 | + | 0.742097i | ||||
\(487\) | −4.50222 | − | 5.00022i | −0.204015 | − | 0.226581i | 0.632451 | − | 0.774600i | \(-0.282049\pi\) |
−0.836466 | + | 0.548019i | \(0.815382\pi\) | |||||||
\(488\) | −3.20333 | + | 15.0705i | −0.145008 | + | 0.682208i | ||||
\(489\) | −27.9188 | − | 2.62652i | −1.26253 | − | 0.118775i | ||||
\(490\) | 6.85552 | − | 0.720544i | 0.309701 | − | 0.0325509i | ||||
\(491\) | 26.2029 | − | 29.1013i | 1.18252 | − | 1.31332i | 0.243326 | − | 0.969945i | \(-0.421762\pi\) |
0.939197 | − | 0.343379i | \(-0.111572\pi\) | |||||||
\(492\) | −2.38816 | − | 1.34426i | −0.107667 | − | 0.0606037i | ||||
\(493\) | −21.3688 | − | 15.5254i | −0.962404 | − | 0.699228i | ||||
\(494\) | 17.1886 | + | 10.0005i | 0.773351 | + | 0.449946i | ||||
\(495\) | −19.3195 | − | 35.2692i | −0.868346 | − | 1.58523i | ||||
\(496\) | −0.155920 | − | 0.270062i | −0.00700103 | − | 0.0121261i | ||||
\(497\) | −2.15246 | + | 20.4793i | −0.0965511 | + | 0.918623i | ||||
\(498\) | 0.312315 | + | 28.6023i | 0.0139952 | + | 1.28170i | ||||
\(499\) | −2.67088 | − | 8.22013i | −0.119565 | − | 0.367984i | 0.873307 | − | 0.487171i | \(-0.161971\pi\) |
−0.992872 | + | 0.119187i | \(0.961971\pi\) | |||||||
\(500\) | 15.5191 | − | 1.63112i | 0.694036 | − | 0.0729461i | ||||
\(501\) | 5.13333 | − | 7.23014i | 0.229340 | − | 0.323019i | ||||
\(502\) | 7.34848 | − | 2.38767i | 0.327979 | − | 0.106567i | ||||
\(503\) | 14.1455 | + | 15.7101i | 0.630715 | + | 0.700480i | 0.970793 | − | 0.239917i | \(-0.0771202\pi\) |
−0.340078 | + | 0.940397i | \(0.610454\pi\) | |||||||
\(504\) | −0.475031 | − | 21.7495i | −0.0211596 | − | 0.968799i | ||||
\(505\) | 2.00254 | − | 1.15617i | 0.0891119 | − | 0.0514488i | ||||
\(506\) | −19.4239 | − | 5.03731i | −0.863499 | − | 0.223936i | ||||
\(507\) | −21.3849 | + | 7.04871i | −0.949739 | + | 0.313044i | ||||
\(508\) | 0.598571 | − | 0.823863i | 0.0265573 | − | 0.0365530i | ||||
\(509\) | 7.19568 | + | 33.8530i | 0.318943 | + | 1.50051i | 0.787079 | + | 0.616852i | \(0.211592\pi\) |
−0.468136 | + | 0.883656i | \(0.655074\pi\) | |||||||
\(510\) | −3.12984 | − | 26.9450i | −0.138592 | − | 1.19314i | ||||
\(511\) | 1.93875 | + | 18.4460i | 0.0857653 | + | 0.816002i | ||||
\(512\) | 18.4551 | − | 13.4084i | 0.815609 | − | 0.592574i | ||||
\(513\) | 16.8451 | + | 17.5188i | 0.743727 | + | 0.773473i | ||||
\(514\) | −25.7143 | + | 23.1532i | −1.13421 | + | 1.02124i | ||||
\(515\) | −23.2466 | + | 31.9961i | −1.02437 | + | 1.40992i | ||||
\(516\) | −0.920594 | − | 2.73145i | −0.0405269 | − | 0.120245i | ||||
\(517\) | −36.6888 | + | 24.2483i | −1.61357 | + | 1.06644i | ||||
\(518\) | −11.1395 | + | 6.43138i | −0.489440 | + | 0.282579i | ||||
\(519\) | −4.59689 | − | 20.5222i | −0.201781 | − | 0.900825i | ||||
\(520\) | −33.4232 | + | 29.8928i | −1.46571 | + | 1.31089i | ||||
\(521\) | 26.5424 | − | 8.62415i | 1.16284 | − | 0.377831i | 0.336876 | − | 0.941549i | \(-0.390630\pi\) |
0.825967 | + | 0.563718i | \(0.190630\pi\) | |||||||
\(522\) | 8.19436 | − | 27.2290i | 0.358658 | − | 1.19178i | ||||
\(523\) | −1.45742 | + | 3.27342i | −0.0637285 | + | 0.143137i | −0.942602 | − | 0.333918i | \(-0.891629\pi\) |
0.878874 | + | 0.477055i | \(0.158296\pi\) | |||||||
\(524\) | −4.62758 | − | 0.983622i | −0.202157 | − | 0.0429697i | ||||
\(525\) | 23.5695 | + | 39.8132i | 1.02866 | + | 1.73759i | ||||
\(526\) | 8.38742 | − | 3.73432i | 0.365709 | − | 0.162824i | ||||
\(527\) | −0.212634 | + | 0.368293i | −0.00926250 | + | 0.0160431i | ||||
\(528\) | 13.8345 | + | 0.462061i | 0.602068 | + | 0.0201086i | ||||
\(529\) | 1.66250 | − | 2.87954i | 0.0722827 | − | 0.125197i | ||||
\(530\) | −0.841362 | + | 8.00502i | −0.0365464 | + | 0.347716i | ||||
\(531\) | 23.7581 | − | 8.29728i | 1.03102 | − | 0.360071i | ||||
\(532\) | −2.07592 | − | 6.38902i | −0.0900025 | − | 0.276999i | ||||
\(533\) | −7.59099 | + | 5.47652i | −0.328802 | + | 0.237215i | ||||
\(534\) | −0.180387 | + | 1.91744i | −0.00780612 | + | 0.0829758i | ||||
\(535\) | −8.53109 | − | 7.68142i | −0.368831 | − | 0.332097i | ||||
\(536\) | −12.8645 | + | 2.73444i | −0.555662 | + | 0.118110i | ||||
\(537\) | 5.01007 | − | 16.0122i | 0.216201 | − | 0.690979i | ||||
\(538\) | − | 3.10952i | − | 0.134061i | ||||||
\(539\) | 4.25651 | − | 2.21216i | 0.183341 | − | 0.0952847i | ||||
\(540\) | −11.5161 | + | 5.58616i | −0.495575 | + | 0.240390i | ||||
\(541\) | −24.6889 | + | 33.9814i | −1.06146 | + | 1.46097i | −0.183025 | + | 0.983108i | \(0.558589\pi\) |
−0.878434 | + | 0.477865i | \(0.841411\pi\) | |||||||
\(542\) | 12.8600 | − | 11.5792i | 0.552384 | − | 0.497368i | ||||
\(543\) | −11.7529 | + | 1.36518i | −0.504366 | + | 0.0585856i | ||||
\(544\) | −9.94490 | − | 4.42775i | −0.426384 | − | 0.189838i | ||||
\(545\) | −43.4042 | + | 31.5350i | −1.85923 | + | 1.35081i | ||||
\(546\) | −15.9071 | − | 6.93836i | −0.680763 | − | 0.296934i | ||||
\(547\) | −16.5302 | − | 5.37099i | −0.706781 | − | 0.229647i | −0.0664984 | − | 0.997787i | \(-0.521183\pi\) |
−0.640283 | + | 0.768139i | \(0.721183\pi\) | |||||||
\(548\) | 6.74963 | + | 0.709415i | 0.288330 | + | 0.0303047i | ||||
\(549\) | 9.09242 | + | 11.9566i | 0.388055 | + | 0.510296i | ||||
\(550\) | −39.3357 | + | 20.4433i | −1.67728 | + | 0.871704i | ||||
\(551\) | − | 37.5953i | − | 1.60161i | ||||||
\(552\) | −8.16579 | + | 26.0979i | −0.347559 | + | 1.11080i | ||||
\(553\) | −12.8675 | − | 14.2908i | −0.547180 | − | 0.607705i | ||||
\(554\) | 0.992049 | − | 0.322336i | 0.0421481 | − | 0.0136948i | ||||
\(555\) | 26.4203 | + | 18.7582i | 1.12148 | + | 0.796240i | ||||
\(556\) | −0.359184 | + | 0.806741i | −0.0152328 | + | 0.0342134i | ||||
\(557\) | −10.0169 | + | 11.1249i | −0.424429 | + | 0.471376i | −0.916995 | − | 0.398899i | \(-0.869392\pi\) |
0.492566 | + | 0.870275i | \(0.336059\pi\) | |||||||
\(558\) | −0.449790 | − | 0.0853855i | −0.0190411 | − | 0.00361466i | ||||
\(559\) | −9.78760 | − | 1.06179i | −0.413971 | − | 0.0449089i | ||||
\(560\) | −22.9506 | −0.969842 | ||||||||
\(561\) | −8.88757 | − | 16.6540i | −0.375234 | − | 0.703132i | ||||
\(562\) | 6.00055 | + | 10.3933i | 0.253118 | + | 0.438413i | ||||
\(563\) | 8.03677 | − | 3.57820i | 0.338709 | − | 0.150803i | −0.230332 | − | 0.973112i | \(-0.573981\pi\) |
0.569041 | + | 0.822309i | \(0.307315\pi\) | |||||||
\(564\) | 7.13066 | + | 12.0450i | 0.300255 | + | 0.507186i | ||||
\(565\) | 29.4684 | + | 6.26370i | 1.23974 | + | 0.263516i | ||||
\(566\) | 4.73691 | − | 0.497869i | 0.199107 | − | 0.0209270i | ||||
\(567\) | −16.3664 | − | 13.4902i | −0.687323 | − | 0.566537i | ||||
\(568\) | −5.59028 | + | 26.3002i | −0.234563 | + | 1.10353i | ||||
\(569\) | −21.8893 | + | 4.65271i | −0.917647 | + | 0.195052i | −0.642443 | − | 0.766334i | \(-0.722079\pi\) |
−0.275205 | + | 0.961386i | \(0.588746\pi\) | |||||||
\(570\) | 28.4089 | − | 26.1468i | 1.18992 | − | 1.09517i | ||||
\(571\) | 4.41146i | 0.184614i | 0.995731 | + | 0.0923069i | \(0.0294241\pi\) | ||||
−0.995731 | + | 0.0923069i | \(0.970576\pi\) | |||||||
\(572\) | −3.27812 | + | 6.50934i | −0.137065 | + | 0.272169i | ||||
\(573\) | 14.1277 | − | 16.0392i | 0.590194 | − | 0.670047i | ||||
\(574\) | −7.17484 | − | 0.754106i | −0.299472 | − | 0.0314758i | ||||
\(575\) | −12.0916 | − | 56.8863i | −0.504253 | − | 2.37232i | ||||
\(576\) | 2.16713 | − | 26.0872i | 0.0902970 | − | 1.08697i | ||||
\(577\) | −10.9707 | + | 7.97065i | −0.456714 | + | 0.331822i | −0.792241 | − | 0.610208i | \(-0.791086\pi\) |
0.335527 | + | 0.942031i | \(0.391086\pi\) | |||||||
\(578\) | 0.764425 | + | 7.27302i | 0.0317959 | + | 0.302518i | ||||
\(579\) | 8.38013 | − | 6.22944i | 0.348266 | − | 0.258887i | ||||
\(580\) | 18.8305 | + | 6.11839i | 0.781893 | + | 0.254052i | ||||
\(581\) | −13.4239 | − | 30.1505i | −0.556916 | − | 1.25085i | ||||
\(582\) | −3.82999 | + | 19.0385i | −0.158758 | + | 0.789172i | ||||
\(583\) | 1.49327 | + | 5.39867i | 0.0618451 | + | 0.223590i | ||||
\(584\) | 24.2181i | 1.00215i | ||||||||
\(585\) | 0.808583 | + | 43.7097i | 0.0334308 | + | 1.80717i | ||||
\(586\) | 4.60150 | − | 14.1619i | 0.190086 | − | 0.585025i | ||||
\(587\) | −18.6868 | − | 16.8257i | −0.771286 | − | 0.694469i | 0.186340 | − | 0.982485i | \(-0.440338\pi\) |
−0.957625 | + | 0.288016i | \(0.907004\pi\) | |||||||
\(588\) | −0.636207 | − | 1.38796i | −0.0262367 | − | 0.0572384i | ||||
\(589\) | −0.601988 | + | 0.0632715i | −0.0248045 | + | 0.00260706i | ||||
\(590\) | −12.3542 | − | 38.0222i | −0.508613 | − | 1.56535i | ||||
\(591\) | 0.253161 | + | 23.1849i | 0.0104136 | + | 0.953698i | ||||
\(592\) | −10.1890 | + | 4.53644i | −0.418766 | + | 0.186447i | ||||
\(593\) | −20.8291 | −0.855347 | −0.427673 | − | 0.903933i | \(-0.640667\pi\) | ||||
−0.427673 | + | 0.903933i | \(0.640667\pi\) | |||||||
\(594\) | 13.7717 | − | 14.9442i | 0.565058 | − | 0.613169i | ||||
\(595\) | 15.6493 | + | 27.1054i | 0.641560 | + | 1.11121i | ||||
\(596\) | 0.123175 | − | 1.17193i | 0.00504545 | − | 0.0480042i | ||||
\(597\) | 36.7522 | − | 21.7574i | 1.50417 | − | 0.890470i | ||||
\(598\) | 16.1625 | + | 14.6509i | 0.660935 | + | 0.599118i | ||||
\(599\) | −22.0601 | − | 30.3632i | −0.901352 | − | 1.24060i | −0.970035 | − | 0.242966i | \(-0.921880\pi\) |
0.0686824 | − | 0.997639i | \(-0.478120\pi\) | |||||||
\(600\) | 25.1729 | + | 54.9174i | 1.02768 | + | 2.24199i | ||||
\(601\) | 33.9641 | + | 30.5814i | 1.38542 | + | 1.24744i | 0.935010 | + | 0.354622i | \(0.115390\pi\) |
0.450414 | + | 0.892820i | \(0.351276\pi\) | |||||||
\(602\) | −5.07733 | − | 5.63895i | −0.206937 | − | 0.229826i | ||||
\(603\) | −6.16717 | + | 11.2418i | −0.251147 | + | 0.457803i | ||||
\(604\) | −12.8857 | − | 7.43956i | −0.524311 | − | 0.302711i | ||||
\(605\) | −29.2123 | + | 33.5137i | −1.18765 | + | 1.36253i | ||||
\(606\) | 0.876879 | + | 0.772377i | 0.0356208 | + | 0.0313757i | ||||
\(607\) | 3.15721 | + | 7.09121i | 0.128147 | + | 0.287823i | 0.966213 | − | 0.257747i | \(-0.0829799\pi\) |
−0.838065 | + | 0.545570i | \(0.816313\pi\) | |||||||
\(608\) | −3.22151 | − | 15.1560i | −0.130649 | − | 0.614657i | ||||
\(609\) | 3.78555 | + | 32.5900i | 0.153398 | + | 1.32061i | ||||
\(610\) | 19.3058 | − | 14.0265i | 0.781668 | − | 0.567915i | ||||
\(611\) | 47.5634 | − | 4.83852i | 1.92421 | − | 0.195746i | ||||
\(612\) | −5.43416 | + | 2.56306i | −0.219663 | + | 0.103605i | ||||
\(613\) | −9.03213 | − | 42.4928i | −0.364804 | − | 1.71627i | −0.651846 | − | 0.758351i | \(-0.726005\pi\) |
0.287042 | − | 0.957918i | \(-0.407328\pi\) | |||||||
\(614\) | −10.2232 | − | 1.07450i | −0.412574 | − | 0.0433633i | ||||
\(615\) | 5.80429 | + | 17.2217i | 0.234052 | + | 0.694444i | ||||
\(616\) | −22.3831 | + | 8.79956i | −0.901841 | + | 0.354544i | ||||
\(617\) | 1.41583 | + | 0.817428i | 0.0569991 | + | 0.0329084i | 0.528229 | − | 0.849102i | \(-0.322856\pi\) |
−0.471230 | + | 0.882011i | \(0.656190\pi\) | |||||||
\(618\) | −19.0744 | − | 5.96820i | −0.767285 | − | 0.240076i | ||||
\(619\) | 13.1811 | − | 40.5672i | 0.529792 | − | 1.63053i | −0.224848 | − | 0.974394i | \(-0.572189\pi\) |
0.754640 | − | 0.656139i | \(-0.227811\pi\) | |||||||
\(620\) | 0.0662787 | − | 0.311817i | 0.00266182 | − | 0.0125229i | ||||
\(621\) | 14.0792 | + | 22.6396i | 0.564979 | + | 0.908496i | ||||
\(622\) | −11.8407 | + | 26.5945i | −0.474767 | + | 1.06634i | ||||
\(623\) | −0.686681 | − | 2.11339i | −0.0275113 | − | 0.0846711i | ||||
\(624\) | −13.0886 | − | 7.42504i | −0.523964 | − | 0.297240i | ||||
\(625\) | −37.8670 | − | 27.5120i | −1.51468 | − | 1.10048i | ||||
\(626\) | 3.77397 | + | 6.53671i | 0.150838 | + | 0.261260i | ||||
\(627\) | 11.7417 | − | 24.1672i | 0.468919 | − | 0.965146i | ||||
\(628\) | −0.315273 | + | 0.546070i | −0.0125808 | + | 0.0217906i | ||||
\(629\) | 12.3052 | + | 8.94029i | 0.490642 | + | 0.356473i | ||||
\(630\) | −21.9939 | + | 25.5263i | −0.876258 | + | 1.01699i | ||||
\(631\) | 41.2160 | + | 8.76074i | 1.64078 | + | 0.348759i | 0.933613 | − | 0.358283i | \(-0.116638\pi\) |
0.707171 | + | 0.707042i | \(0.249971\pi\) | |||||||
\(632\) | −14.7589 | − | 20.3139i | −0.587078 | − | 0.808044i | ||||
\(633\) | 19.7795 | + | 14.0433i | 0.786167 | + | 0.558171i | ||||
\(634\) | −16.9163 | − | 15.2315i | −0.671834 | − | 0.604922i | ||||
\(635\) | −6.60556 | + | 1.40406i | −0.262134 | + | 0.0557182i | ||||
\(636\) | 1.73972 | − | 0.389690i | 0.0689844 | − | 0.0154522i | ||||
\(637\) | −5.21490 | − | 0.0174216i | −0.206622 | − | 0.000690269i | ||||
\(638\) | −31.3790 | + | 1.89804i | −1.24231 | + | 0.0751443i | ||||
\(639\) | 15.8676 | + | 20.8661i | 0.627713 | + | 0.825449i | ||||
\(640\) | −14.7268 | − | 1.54785i | −0.582130 | − | 0.0611843i | ||||
\(641\) | 7.32615 | − | 6.59650i | 0.289366 | − | 0.260546i | −0.511644 | − | 0.859198i | \(-0.670963\pi\) |
0.801010 | + | 0.598652i | \(0.204297\pi\) | |||||||
\(642\) | 2.30158 | − | 5.32517i | 0.0908363 | − | 0.210168i | ||||
\(643\) | 1.10855 | + | 10.5471i | 0.0437168 | + | 0.415938i | 0.994393 | + | 0.105751i | \(0.0337248\pi\) |
−0.950676 | + | 0.310186i | \(0.899609\pi\) | |||||||
\(644\) | −0.770297 | − | 7.32889i | −0.0303540 | − | 0.288799i | ||||
\(645\) | −7.58347 | + | 17.5459i | −0.298599 | + | 0.690868i | ||||
\(646\) | 13.4688 | − | 12.1274i | 0.529924 | − | 0.477146i | ||||
\(647\) | 30.8202 | + | 3.23933i | 1.21167 | + | 0.127351i | 0.688729 | − | 0.725019i | \(-0.258169\pi\) |
0.522938 | + | 0.852370i | \(0.324836\pi\) | |||||||
\(648\) | −19.4118 | − | 19.7519i | −0.762567 | − | 0.775928i | ||||
\(649\) | −17.6821 | − | 21.4795i | −0.694083 | − | 0.843145i | ||||
\(650\) | 48.1925 | + | 0.160998i | 1.89026 | + | 0.00631487i | ||||
\(651\) | 0.515471 | − | 0.115463i | 0.0202029 | − | 0.00452536i | ||||
\(652\) | 9.65171 | − | 2.05153i | 0.377990 | − | 0.0803443i | ||||
\(653\) | −14.0715 | − | 12.6700i | −0.550659 | − | 0.495816i | 0.346183 | − | 0.938167i | \(-0.387478\pi\) |
−0.896842 | + | 0.442351i | \(0.854144\pi\) | |||||||
\(654\) | −22.1070 | − | 15.6958i | −0.864452 | − | 0.613753i | ||||
\(655\) | 18.4406 | + | 25.3814i | 0.720536 | + | 0.991732i | ||||
\(656\) | −6.11886 | − | 1.30060i | −0.238901 | − | 0.0507800i | ||||
\(657\) | 17.8874 | + | 15.4121i | 0.697854 | + | 0.601284i | ||||
\(658\) | 29.8108 | + | 21.6588i | 1.16215 | + | 0.844349i | ||||
\(659\) | −19.8479 | + | 34.3776i | −0.773165 | + | 1.33916i | 0.162656 | + | 0.986683i | \(0.447994\pi\) |
−0.935820 | + | 0.352478i | \(0.885339\pi\) | |||||||
\(660\) | 10.1938 | + | 9.81416i | 0.396794 | + | 0.382016i | ||||
\(661\) | 15.9091 | + | 27.5554i | 0.618792 | + | 1.07178i | 0.989706 | + | 0.143112i | \(0.0457111\pi\) |
−0.370914 | + | 0.928667i | \(0.620956\pi\) | |||||||
\(662\) | −16.1128 | − | 11.7066i | −0.626241 | − | 0.454991i | ||||
\(663\) | 0.155512 | + | 20.5210i | 0.00603959 | + | 0.796968i | ||||
\(664\) | −13.3168 | − | 40.9850i | −0.516793 | − | 1.59053i | ||||
\(665\) | −18.1196 | + | 40.6973i | −0.702649 | + | 1.57818i | ||||
\(666\) | −4.71872 | + | 15.6798i | −0.182847 | + | 0.607580i | ||||
\(667\) | 8.57449 | − | 40.3398i | 0.332006 | − | 1.56196i | ||||
\(668\) | −0.964175 | + | 2.96742i | −0.0373050 | + | 0.114813i | ||||
\(669\) | 9.31447 | + | 2.91441i | 0.360118 | + | 0.112678i | ||||
\(670\) | 17.6411 | + | 10.1851i | 0.681536 | + | 0.393485i | ||||
\(671\) | 8.93205 | − | 13.9997i | 0.344818 | − | 0.540453i | ||||
\(672\) | 4.31870 | + | 12.8138i | 0.166597 | + | 0.494304i | ||||
\(673\) | −9.10674 | − | 0.957157i | −0.351039 | − | 0.0368957i | −0.0726318 | − | 0.997359i | \(-0.523140\pi\) |
−0.278407 | + | 0.960463i | \(0.589806\pi\) | |||||||
\(674\) | −1.37316 | − | 6.46021i | −0.0528921 | − | 0.248838i | ||||
\(675\) | 56.5814 | + | 16.3562i | 2.17782 | + | 0.629551i | ||||
\(676\) | 6.44088 | − | 4.61414i | 0.247726 | − | 0.177467i | ||||
\(677\) | −11.4827 | + | 8.34267i | −0.441316 | + | 0.320635i | −0.786158 | − | 0.618026i | \(-0.787933\pi\) |
0.344842 | + | 0.938661i | \(0.387933\pi\) | |||||||
\(678\) | 1.75662 | + | 15.1229i | 0.0674627 | + | 0.580790i | ||||
\(679\) | −4.65870 | − | 21.9174i | −0.178784 | − | 0.841114i | ||||
\(680\) | 16.6224 | + | 37.3344i | 0.637438 | + | 1.43171i | ||||
\(681\) | −0.257270 | − | 0.226610i | −0.00985862 | − | 0.00868372i | ||||
\(682\) | 0.0832018 | + | 0.499257i | 0.00318596 | + | 0.0191175i | ||||
\(683\) | −23.7184 | − | 13.6938i | −0.907559 | − | 0.523980i | −0.0279142 | − | 0.999610i | \(-0.508887\pi\) |
−0.879645 | + | 0.475631i | \(0.842220\pi\) | |||||||
\(684\) | −7.49773 | − | 4.11319i | −0.286683 | − | 0.157272i | ||||
\(685\) | −30.1151 | − | 33.4462i | −1.15064 | − | 1.27791i | ||||
\(686\) | −17.4431 | − | 15.7058i | −0.665979 | − | 0.599650i | ||||
\(687\) | −15.6115 | − | 34.0582i | −0.595615 | − | 1.29940i | ||||
\(688\) | −3.86733 | − | 5.32292i | −0.147441 | − | 0.202935i | ||||
\(689\) | 1.28594 | − | 5.95202i | 0.0489903 | − | 0.226754i | ||||
\(690\) | 36.4462 | − | 21.5762i | 1.38748 | − | 0.821392i | ||||
\(691\) | −0.737545 | + | 7.01727i | −0.0280575 | + | 0.266950i | 0.971496 | + | 0.237058i | \(0.0761830\pi\) |
−0.999553 | + | 0.0298921i | \(0.990484\pi\) | |||||||
\(692\) | 3.70011 | + | 6.40879i | 0.140657 | + | 0.243625i | ||||
\(693\) | −7.74502 | + | 22.1320i | −0.294209 | + | 0.840725i | ||||
\(694\) | −3.28041 | −0.124523 | ||||||||
\(695\) | 5.34986 | − | 2.38191i | 0.202932 | − | 0.0903510i | ||||
\(696\) | 0.467750 | + | 42.8373i | 0.0177300 | + | 1.62375i | ||||
\(697\) | 2.63620 | + | 8.11340i | 0.0998533 | + | 0.307317i | ||||
\(698\) | −6.55619 | + | 0.689084i | −0.248156 | + | 0.0260822i | ||||
\(699\) | −8.18611 | − | 17.8589i | −0.309627 | − | 0.675486i | ||||
\(700\) | −12.0985 | − | 10.8936i | −0.457281 | − | 0.411738i | ||||
\(701\) | 3.78229 | − | 11.6407i | 0.142855 | − | 0.439662i | −0.853874 | − | 0.520480i | \(-0.825753\pi\) |
0.996729 | + | 0.0808174i | \(0.0257531\pi\) | |||||||
\(702\) | −20.8013 | + | 7.44196i | −0.785094 | + | 0.280879i | ||||
\(703\) | 21.6493i | 0.816517i | ||||||||
\(704\) | −27.8925 | + | 7.71507i | −1.05124 | + | 0.290773i | ||||
\(705\) | 18.3065 | − | 91.0001i | 0.689464 | − | 3.42726i | ||||
\(706\) | 8.69645 | + | 19.5325i | 0.327295 | + | 0.735117i | ||||
\(707\) | −1.28229 | − | 0.416642i | −0.0482256 | − | 0.0156694i | ||||
\(708\) | −7.10666 | + | 5.28280i | −0.267085 | + | 0.198540i | ||||
\(709\) | −0.851900 | − | 8.10529i | −0.0319938 | − | 0.304401i | −0.998804 | − | 0.0489032i | \(-0.984427\pi\) |
0.966810 | − | 0.255497i | \(-0.0822392\pi\) | |||||||
\(710\) | 33.6914 | − | 24.4782i | 1.26442 | − | 0.918652i | ||||
\(711\) | −24.3961 | − | 2.02665i | −0.914927 | − | 0.0760053i | ||||
\(712\) | −0.603261 | − | 2.83812i | −0.0226082 | − | 0.106363i | ||||
\(713\) | −0.660365 | − | 0.0694072i | −0.0247309 | − | 0.00259932i | ||||
\(714\) | −10.4545 | + | 11.8690i | −0.391251 | + | 0.444187i | ||||
\(715\) | 45.0388 | − | 17.5328i | 1.68436 | − | 0.655690i | ||||
\(716\) | 5.90369i | 0.220631i | ||||||||
\(717\) | −10.2756 | + | 9.45738i | −0.383749 | + | 0.353192i | ||||
\(718\) | −21.4206 | + | 4.55309i | −0.799410 | + | 0.169920i | ||||
\(719\) | 4.42319 | − | 20.8095i | 0.164957 | − | 0.776062i | −0.815410 | − | 0.578883i | \(-0.803489\pi\) |
0.980368 | − | 0.197179i | \(-0.0631779\pi\) | |||||||
\(720\) | −21.2800 | + | 20.0191i | −0.793059 | + | 0.746066i | ||||
\(721\) | 22.9342 | − | 2.41049i | 0.854116 | − | 0.0897712i | ||||
\(722\) | 3.31780 | + | 0.705219i | 0.123476 | + | 0.0262455i | ||||
\(723\) | −2.31967 | − | 3.91836i | −0.0862696 | − | 0.145725i | ||||
\(724\) | 3.80344 | − | 1.69340i | 0.141354 | − | 0.0629347i | ||||
\(725\) | −45.5549 | − | 78.9033i | −1.69187 | − | 2.93040i | ||||
\(726\) | −20.7640 | − | 8.58013i | −0.770625 | − | 0.318439i | ||||
\(727\) | −16.4728 | −0.610941 | −0.305471 | − | 0.952201i | \(-0.598814\pi\) | ||||
−0.305471 | + | 0.952201i | \(0.598814\pi\) | |||||||
\(728\) | 25.9934 | + | 2.81984i | 0.963378 | + | 0.104510i | ||||
\(729\) | −26.9421 | + | 1.76758i | −0.997855 | + | 0.0654658i | ||||
\(730\) | 25.0991 | − | 27.8754i | 0.928961 | − | 1.03172i | ||||
\(731\) | −3.64953 | + | 8.19697i | −0.134983 | + | 0.303176i | ||||
\(732\) | −4.30978 | − | 3.05990i | −0.159294 | − | 0.113097i | ||||
\(733\) | −30.1383 | + | 9.79252i | −1.11318 | + | 0.361695i | −0.807162 | − | 0.590330i | \(-0.798998\pi\) |
−0.306020 | + | 0.952025i | \(0.598998\pi\) | |||||||
\(734\) | 6.04425 | + | 6.71282i | 0.223097 | + | 0.247775i | ||||
\(735\) | −3.02348 | + | 9.66306i | −0.111523 | + | 0.356427i | ||||
\(736\) | − | 16.9972i | − | 0.626524i | ||||||
\(737\) | 14.0185 | + | 2.10472i | 0.516379 | + | 0.0775284i | ||||
\(738\) | −7.31034 | + | 5.55915i | −0.269097 | + | 0.204635i | ||||
\(739\) | 32.1097 | + | 3.37486i | 1.18117 | + | 0.124146i | 0.674688 | − | 0.738103i | \(-0.264278\pi\) |
0.506485 | + | 0.862249i | \(0.330945\pi\) | |||||||
\(740\) | −10.8435 | − | 3.52328i | −0.398616 | − | 0.129518i | ||||
\(741\) | −23.5000 | + | 17.3474i | −0.863294 | + | 0.637271i | ||||
\(742\) | 3.79696 | − | 2.75865i | 0.139391 | − | 0.101273i | ||||
\(743\) | −37.1636 | − | 16.5463i | −1.36340 | − | 0.607024i | −0.410932 | − | 0.911666i | \(-0.634796\pi\) |
−0.952467 | + | 0.304642i | \(0.901463\pi\) | |||||||
\(744\) | 0.685138 | − | 0.0795835i | 0.0251184 | − | 0.00291767i | ||||
\(745\) | −5.80724 | + | 5.22886i | −0.212761 | + | 0.191571i | ||||
\(746\) | −25.0108 | + | 34.4244i | −0.915711 | + | 1.26037i | ||||
\(747\) | −38.7460 | − | 16.2466i | −1.41764 | − | 0.594431i | ||||
\(748\) | 4.73456 | + | 4.65890i | 0.173113 | + | 0.170346i | ||||
\(749\) | 6.69362i | 0.244579i | ||||||||
\(750\) | 15.6158 | − | 49.9081i | 0.570207 | − | 1.82239i | ||||
\(751\) | 48.7385 | − | 10.3597i | 1.77849 | − | 0.378031i | 0.802642 | − | 0.596461i | \(-0.203427\pi\) |
0.975853 | + | 0.218430i | \(0.0700936\pi\) | |||||||
\(752\) | 23.7442 | + | 21.3794i | 0.865862 | + | 0.779626i | ||||
\(753\) | −1.06300 | + | 11.2992i | −0.0387377 | + | 0.411766i | ||||
\(754\) | 31.1737 | + | 14.0044i | 1.13528 | + | 0.510011i | ||||
\(755\) | 30.4907 | + | 93.8408i | 1.10967 | + | 3.41521i | ||||
\(756\) | 6.91367 | + | 2.81061i | 0.251448 | + | 0.102221i | ||||
\(757\) | −1.09666 | + | 10.4340i | −0.0398587 | + | 0.379230i | 0.956349 | + | 0.292226i | \(0.0943959\pi\) |
−0.996208 | + | 0.0870039i | \(0.972271\pi\) | |||||||
\(758\) | 11.4217 | − | 19.7829i | 0.414854 | − | 0.718549i | ||||
\(759\) | 18.1108 | − | 23.2535i | 0.657380 | − | 0.844048i | ||||
\(760\) | −29.0844 | + | 50.3756i | −1.05500 | + | 1.82731i | ||||
\(761\) | 8.03438 | − | 3.57714i | 0.291246 | − | 0.129671i | −0.255913 | − | 0.966700i | \(-0.582376\pi\) |
0.547159 | + | 0.837029i | \(0.315709\pi\) | |||||||
\(762\) | −1.73852 | − | 2.93668i | −0.0629798 | − | 0.106385i | ||||
\(763\) | 30.5991 | + | 6.50403i | 1.10776 | + | 0.235462i | ||||
\(764\) | −3.05907 | + | 6.87079i | −0.110673 | + | 0.248576i | ||||
\(765\) | 38.1533 | + | 11.4820i | 1.37943 | + | 0.415131i | ||||
\(766\) | −31.4390 | + | 10.2151i | −1.13594 | + | 0.369088i | ||||
\(767\) | 6.18942 | + | 29.6049i | 0.223487 | + | 1.06897i | ||||
\(768\) | 4.97124 | + | 22.1935i | 0.179384 | + | 0.800838i | ||||
\(769\) | −29.5702 | + | 17.0724i | −1.06633 | + | 0.615646i | −0.927176 | − | 0.374625i | \(-0.877772\pi\) |
−0.139154 | + | 0.990271i | \(0.544438\pi\) | |||||||
\(770\) | 34.8829 | + | 13.0689i | 1.25709 | + | 0.470972i | ||||
\(771\) | −16.2324 | − | 48.1623i | −0.584595 | − | 1.73452i | ||||
\(772\) | −2.15967 | + | 2.97253i | −0.0777281 | + | 0.106984i | ||||
\(773\) | 9.56684 | − | 8.61402i | 0.344095 | − | 0.309825i | −0.478904 | − | 0.877867i | \(-0.658966\pi\) |
0.822999 | + | 0.568043i | \(0.192299\pi\) | |||||||
\(774\) | −9.62639 | − | 0.799688i | −0.346014 | − | 0.0287442i | ||||
\(775\) | −1.18676 | + | 0.862231i | −0.0426296 | + | 0.0309722i | ||||
\(776\) | −3.05825 | − | 29.0973i | −0.109785 | − | 1.04453i | ||||
\(777\) | −2.17991 | − | 18.7670i | −0.0782038 | − | 0.673261i | ||||
\(778\) | 2.14377 | + | 10.0857i | 0.0768579 | + | 0.361588i | ||||
\(779\) | −7.13716 | + | 9.82346i | −0.255715 | + | 0.351962i | ||||
\(780\) | −4.86435 | − | 14.5937i | −0.174172 | − | 0.522538i | ||||
\(781\) | 15.5877 | − | 24.4316i | 0.557773 | − | 0.874231i | ||||
\(782\) | 17.2180 | − | 9.94083i | 0.615715 | − | 0.355483i | ||||
\(783\) | 31.9371 | + | 26.9157i | 1.14134 | + | 0.961888i | ||||
\(784\) | −2.33204 | − | 2.58999i | −0.0832870 | − | 0.0924996i | ||||
\(785\) | 3.97678 | − | 1.29213i | 0.141937 | − | 0.0461183i | ||||
\(786\) | −9.17838 | + | 12.9275i | −0.327382 | + | 0.461107i | ||||
\(787\) | −4.51584 | + | 0.474634i | −0.160972 | + | 0.0169189i | −0.184672 | − | 0.982800i | \(-0.559122\pi\) |
0.0236994 | + | 0.999719i | \(0.492456\pi\) | |||||||
\(788\) | −2.52117 | − | 7.75938i | −0.0898131 | − | 0.276416i | ||||
\(789\) | 0.147243 | + | 13.4847i | 0.00524198 | + | 0.480069i | ||||
\(790\) | −4.06516 | + | 38.6774i | −0.144632 | + | 1.37608i | ||||
\(791\) | −8.78318 | − | 15.2129i | −0.312294 | − | 0.540909i | ||||
\(792\) | −13.0782 | + | 27.6830i | −0.464714 | + | 0.983673i | ||||
\(793\) | −15.6645 | + | 8.97427i | −0.556263 | + | 0.318686i | ||||
\(794\) | 14.9835 | + | 10.8861i | 0.531744 | + | 0.386335i | ||||
\(795\) | −10.3027 | − | 5.79923i | −0.365400 | − | 0.205677i | ||||
\(796\) | −10.0560 | + | 11.1684i | −0.356427 | + | 0.395852i | ||||
\(797\) | −46.8551 | + | 4.92467i | −1.65969 | + | 0.174441i | −0.887456 | − | 0.460893i | \(-0.847529\pi\) |
−0.772238 | + | 0.635333i | \(0.780863\pi\) | |||||||
\(798\) | −22.4138 | − | 2.10862i | −0.793439 | − | 0.0746444i | ||||
\(799\) | 9.05928 | − | 42.6206i | 0.320494 | − | 1.50781i | ||||
\(800\) | −25.1259 | − | 27.9052i | −0.888336 | − | 0.986597i | ||||
\(801\) | −2.48013 | − | 1.36058i | −0.0876311 | − | 0.0480737i | ||||
\(802\) | −38.2918 | − | 22.1078i | −1.35213 | − | 0.780652i | ||||
\(803\) | 9.15799 | − | 24.4440i | 0.323179 | − | 0.862612i | ||||
\(804\) | 0.889831 | − | 4.42327i | 0.0313819 | − | 0.155997i | ||||
\(805\) | −28.7244 | + | 39.5357i | −1.01240 | + | 1.39345i | ||||
\(806\) | 0.171779 | − | 0.522733i | 0.00605066 | − | 0.0184125i | ||||
\(807\) | 4.19251 | + | 1.81204i | 0.147583 | + | 0.0637867i | ||||
\(808\) | −1.60829 | − | 0.716057i | −0.0565795 | − | 0.0251908i | ||||
\(809\) | 36.3491 | + | 16.1837i | 1.27797 | + | 0.568987i | 0.929669 | − | 0.368397i | \(-0.120093\pi\) |
0.348298 | + | 0.937384i | \(0.386760\pi\) | |||||||
\(810\) | 1.87279 | + | 42.8526i | 0.0658030 | + | 1.50569i | ||||
\(811\) | −22.9831 | − | 7.46767i | −0.807046 | − | 0.262225i | −0.123700 | − | 0.992320i | \(-0.539476\pi\) |
−0.683346 | + | 0.730094i | \(0.739476\pi\) | |||||||
\(812\) | −4.69568 | − | 10.5467i | −0.164786 | − | 0.370115i | ||||
\(813\) | 8.11799 | + | 24.0865i | 0.284710 | + | 0.844751i | ||||
\(814\) | 18.0696 | − | 1.09299i | 0.633339 | − | 0.0383093i | ||||
\(815\) | −56.6681 | − | 32.7173i | −1.98500 | − | 1.14604i | ||||
\(816\) | −10.0912 | + | 9.28765i | −0.353262 | + | 0.325133i | ||||
\(817\) | −12.4922 | + | 2.65529i | −0.437046 | + | 0.0928969i | ||||
\(818\) | −24.0533 | + | 7.81539i | −0.841004 | + | 0.273259i | ||||
\(819\) | 18.6246 | − | 17.4041i | 0.650795 | − | 0.608147i | ||||
\(820\) | −3.75878 | − | 5.17352i | −0.131262 | − | 0.180667i | ||||
\(821\) | 32.5452 | − | 36.1451i | 1.13584 | − | 1.26147i | 0.174935 | − | 0.984580i | \(-0.444028\pi\) |
0.960901 | − | 0.276894i | \(-0.0893050\pi\) | |||||||
\(822\) | 11.1562 | − | 19.8198i | 0.389119 | − | 0.691296i | ||||
\(823\) | 18.1805 | − | 8.09448i | 0.633732 | − | 0.282156i | −0.0646200 | − | 0.997910i | \(-0.520584\pi\) |
0.698352 | + | 0.715754i | \(0.253917\pi\) | |||||||
\(824\) | 30.1109 | 1.04896 | ||||||||
\(825\) | −4.64085 | − | 64.9487i | −0.161574 | − | 2.26122i | ||||
\(826\) | −11.6555 | + | 20.1879i | −0.405547 | + | 0.702428i | ||||
\(827\) | −6.45229 | − | 4.68786i | −0.224368 | − | 0.163013i | 0.469923 | − | 0.882708i | \(-0.344282\pi\) |
−0.694291 | + | 0.719695i | \(0.744282\pi\) | |||||||
\(828\) | −7.10696 | − | 6.12349i | −0.246984 | − | 0.212806i | ||||
\(829\) | −8.50296 | + | 9.44350i | −0.295320 | + | 0.327986i | −0.872485 | − | 0.488642i | \(-0.837493\pi\) |
0.577164 | + | 0.816628i | \(0.304159\pi\) | |||||||
\(830\) | −27.1481 | + | 60.9755i | −0.942323 | + | 2.11649i | ||||
\(831\) | −0.143505 | + | 1.52540i | −0.00497813 | + | 0.0529155i | ||||
\(832\) | 30.7514 | + | 6.64385i | 1.06611 | + | 0.230334i | ||||
\(833\) | −1.46871 | + | 4.52024i | −0.0508879 | + | 0.156617i | ||||
\(834\) | 2.00412 | + | 2.17751i | 0.0693971 | + | 0.0754011i | ||||
\(835\) | 17.9189 | − | 10.3455i | 0.620110 | − | 0.358021i | ||||
\(836\) | −1.40374 | + | 9.34964i | −0.0485494 | + | 0.323364i | ||||
\(837\) | 0.377233 | − | 0.556686i | 0.0130391 | − | 0.0192419i | ||||
\(838\) | −12.8760 | − | 28.9199i | −0.444793 | − | 0.999021i | ||||
\(839\) | −8.15182 | + | 7.33993i | −0.281432 | + | 0.253403i | −0.797742 | − | 0.603000i | \(-0.793972\pi\) |
0.516310 | + | 0.856402i | \(0.327305\pi\) | |||||||
\(840\) | 20.1398 | − | 46.5974i | 0.694888 | − | 1.60776i | ||||
\(841\) | −3.72212 | − | 35.4136i | −0.128349 | − | 1.22116i | ||||
\(842\) | −16.8079 | − | 7.48334i | −0.579237 | − | 0.257893i | ||||
\(843\) | −17.5098 | + | 2.03388i | −0.603069 | + | 0.0700506i | ||||
\(844\) | −8.11801 | − | 2.63770i | −0.279433 | − | 0.0907934i | ||||
\(845\) | −52.2158 | − | 5.84108i | −1.79628 | − | 0.200939i | ||||
\(846\) | 46.5330 | − | 5.92074i | 1.59984 | − | 0.203559i | ||||
\(847\) | 25.9194 | − | 0.417559i | 0.890602 | − | 0.0143475i | ||||
\(848\) | 3.52433 | − | 2.03477i | 0.121026 | − | 0.0698744i | ||||
\(849\) | −2.08911 | + | 6.67682i | −0.0716981 | + | 0.229148i | ||||
\(850\) | 13.5728 | − | 41.7729i | 0.465544 | − | 1.43280i | ||||
\(851\) | −4.93762 | + | 23.2297i | −0.169260 | + | 0.796303i | ||||
\(852\) | −7.52120 | − | 5.33998i | −0.257672 | − | 0.182945i | ||||
\(853\) | 11.2177 | + | 15.4398i | 0.384086 | + | 0.528649i | 0.956661 | − | 0.291203i | \(-0.0940555\pi\) |
−0.572575 | + | 0.819852i | \(0.694056\pi\) | |||||||
\(854\) | −13.6102 | − | 2.89293i | −0.465731 | − | 0.0989941i | ||||
\(855\) | 18.6983 | + | 53.5400i | 0.639467 | + | 1.83103i | ||||
\(856\) | −0.913585 | + | 8.69218i | −0.0312257 | + | 0.297093i | ||||
\(857\) | 34.3750 | 1.17423 | 0.587113 | − | 0.809505i | \(-0.300264\pi\) | ||||
0.587113 | + | 0.809505i | \(0.300264\pi\) | |||||||
\(858\) | 15.6654 | + | 18.7385i | 0.534809 | + | 0.639723i | ||||
\(859\) | 17.1344 | 0.584619 | 0.292309 | − | 0.956324i | \(-0.405576\pi\) | ||||
0.292309 | + | 0.956324i | \(0.405576\pi\) | |||||||
\(860\) | 0.703055 | − | 6.68912i | 0.0239740 | − | 0.228097i | ||||
\(861\) | 5.19780 | − | 9.23426i | 0.177141 | − | 0.314703i | ||||
\(862\) | 4.23601 | + | 0.900391i | 0.144279 | + | 0.0306674i | ||||
\(863\) | −12.6580 | − | 17.4222i | −0.430882 | − | 0.593058i | 0.537274 | − | 0.843408i | \(-0.319454\pi\) |
−0.968155 | + | 0.250350i | \(0.919454\pi\) | |||||||
\(864\) | 15.1814 | + | 8.11400i | 0.516481 | + | 0.276044i | ||||
\(865\) | 10.2031 | − | 48.0018i | 0.346916 | − | 1.63211i | ||||
\(866\) | 6.01300 | − | 18.5061i | 0.204330 | − | 0.628863i | ||||
\(867\) | −10.2515 | − | 3.20761i | −0.348160 | − | 0.108936i | ||||
\(868\) | −0.160974 | + | 0.0929384i | −0.00546381 | + | 0.00315453i | ||||
\(869\) | 7.21496 | + | 26.0844i | 0.244751 | + | 0.884853i | ||||
\(870\) | 43.8573 | − | 49.7911i | 1.48690 | − | 1.68808i | ||||
\(871\) | −12.4371 | − | 9.09969i | −0.421414 | − | 0.308331i | ||||
\(872\) | 38.8476 | + | 12.6223i | 1.31554 | + | 0.427446i | ||||
\(873\) | −23.4374 | − | 16.2584i | −0.793236 | − | 0.550263i | ||||
\(874\) | 25.8519 | + | 11.5100i | 0.874455 | + | 0.389332i | ||||
\(875\) | 6.30703 | + | 60.0074i | 0.213217 | + | 2.02862i | ||||
\(876\) | −7.62641 | − | 3.29620i | −0.257673 | − | 0.111368i | ||||
\(877\) | 17.3566 | − | 15.6279i | 0.586090 | − | 0.527718i | −0.321865 | − | 0.946786i | \(-0.604310\pi\) |
0.907955 | + | 0.419068i | \(0.137643\pi\) | |||||||
\(878\) | 2.81380 | + | 6.31989i | 0.0949611 | + | 0.213286i | ||||
\(879\) | 16.4128 | + | 14.4568i | 0.553591 | + | 0.487617i | ||||
\(880\) | 28.8967 | + | 14.4316i | 0.974107 | + | 0.486490i | ||||
\(881\) | 31.9660 | − | 18.4556i | 1.07696 | − | 0.621784i | 0.146887 | − | 0.989153i | \(-0.453075\pi\) |
0.930075 | + | 0.367369i | \(0.119741\pi\) | |||||||
\(882\) | −5.11546 | + | 0.111727i | −0.172247 | + | 0.00376205i | ||||
\(883\) | 7.91676 | − | 24.3653i | 0.266420 | − | 0.819957i | −0.724943 | − | 0.688809i | \(-0.758134\pi\) |
0.991363 | − | 0.131148i | \(-0.0418663\pi\) | |||||||
\(884\) | −2.20847 | − | 6.87504i | −0.0742790 | − | 0.231233i | ||||
\(885\) | 58.4639 | + | 5.50011i | 1.96524 | + | 0.184884i | ||||
\(886\) | −4.34903 | + | 9.76808i | −0.146108 | + | 0.328165i | ||||
\(887\) | 4.38391 | − | 4.86883i | 0.147197 | − | 0.163479i | −0.665037 | − | 0.746810i | \(-0.731584\pi\) |
0.812235 | + | 0.583331i | \(0.198251\pi\) | |||||||
\(888\) | −0.269354 | − | 24.6679i | −0.00903893 | − | 0.827800i | ||||
\(889\) | 3.18561 | + | 2.31448i | 0.106842 | + | 0.0776253i | ||||
\(890\) | −2.24700 | + | 3.89192i | −0.0753197 | + | 0.130458i | ||||
\(891\) | 12.1237 | + | 27.2766i | 0.406161 | + | 0.913802i | ||||
\(892\) | −3.43423 | −0.114987 | ||||||||
\(893\) | 56.6572 | − | 25.2254i | 1.89596 | − | 0.844137i | ||||
\(894\) | −3.44130 | − | 1.93705i | −0.115094 | − | 0.0647846i | ||||
\(895\) | 26.1965 | − | 29.0941i | 0.875651 | − | 0.972509i | ||||
\(896\) | 5.07509 | + | 6.98527i | 0.169547 | + | 0.233361i | ||||
\(897\) | −29.1720 | + | 13.2540i | −0.974025 | + | 0.442538i | ||||
\(898\) | −6.81815 | + | 2.21535i | −0.227525 | + | 0.0739272i | ||||
\(899\) | −1.01750 | + | 0.216277i | −0.0339356 | + | 0.00721323i | ||||
\(900\) | −20.7199 | + | 0.452544i | −0.690664 | + | 0.0150848i | ||||
\(901\) | −4.80626 | − | 2.77490i | −0.160120 | − | 0.0924452i | ||||
\(902\) | 8.55950 | + | 5.46110i | 0.285000 | + | 0.181835i | ||||
\(903\) | 10.5616 | − | 3.55964i | 0.351469 | − | 0.118457i | ||||
\(904\) | −9.32930 | − | 20.9539i | −0.310288 | − | 0.696918i | ||||
\(905\) | −26.2579 | − | 8.53172i | −0.872844 | − | 0.283604i | ||||
\(906\) | −40.0175 | + | 29.7474i | −1.32949 | + | 0.988291i | ||||
\(907\) | −39.7991 | − | 17.7197i | −1.32151 | − | 0.588372i | −0.379881 | − | 0.925035i | \(-0.624035\pi\) |
−0.941625 | + | 0.336663i | \(0.890702\pi\) | |||||||
\(908\) | 0.110208 | + | 0.0490678i | 0.00365738 | + | 0.00162837i | ||||
\(909\) | −1.55237 | + | 0.732186i | −0.0514889 | + | 0.0242851i | ||||
\(910\) | −26.9963 | − | 30.1846i | −0.894918 | − | 1.00061i | ||||
\(911\) | 4.53090 | − | 6.23625i | 0.150115 | − | 0.206616i | −0.727336 | − | 0.686281i | \(-0.759242\pi\) |
0.877452 | + | 0.479665i | \(0.159242\pi\) | |||||||
\(912\) | −19.1373 | − | 3.84987i | −0.633701 | − | 0.127482i | ||||
\(913\) | −2.05726 | + | 46.4030i | −0.0680854 | + | 1.53571i | ||||
\(914\) | 15.3508 | + | 8.86281i | 0.507761 | + | 0.293156i | ||||
\(915\) | 7.66141 | + | 34.2034i | 0.253278 | + | 1.13073i | ||||
\(916\) | 8.82136 | + | 9.79711i | 0.291466 | + | 0.323706i | ||||
\(917\) | 3.80335 | − | 17.8934i | 0.125598 | − | 0.590891i | ||||
\(918\) | 0.659429 | + | 20.1241i | 0.0217644 | + | 0.664196i | ||||
\(919\) | −42.9003 | + | 4.50900i | −1.41515 | + | 0.148738i | −0.781028 | − | 0.624496i | \(-0.785304\pi\) |
−0.634121 | + | 0.773234i | \(0.718638\pi\) | |||||||
\(920\) | −42.6969 | + | 47.4197i | −1.40768 | + | 1.56338i | ||||
\(921\) | 7.40617 | − | 13.1576i | 0.244042 | − | 0.433557i | ||||
\(922\) | 1.62502 | + | 1.18065i | 0.0535173 | + | 0.0388826i | ||||
\(923\) | −27.3369 | + | 15.6614i | −0.899804 | + | 0.515502i | ||||
\(924\) | 0.275417 | − | 8.24621i | 0.00906057 | − | 0.271280i | ||||
\(925\) | 26.2328 | + | 45.4365i | 0.862528 | + | 1.49394i | ||||
\(926\) | −2.29352 | + | 21.8214i | −0.0753699 | + | 0.717097i | ||||
\(927\) | 19.1622 | − | 22.2398i | 0.629369 | − | 0.730450i | ||||
\(928\) | −8.22848 | − | 25.3247i | −0.270113 | − | 0.831323i | ||||
\(929\) | −31.6935 | + | 3.33112i | −1.03983 | + | 0.109290i | −0.609022 | − | 0.793154i | \(-0.708438\pi\) |
−0.430807 | + | 0.902444i | \(0.641771\pi\) | |||||||
\(930\) | −0.871082 | − | 0.618460i | −0.0285639 | − | 0.0202801i | ||||
\(931\) | −6.43386 | + | 2.09049i | −0.210861 | + | 0.0685130i | ||||
\(932\) | 4.62560 | + | 5.13725i | 0.151517 | + | 0.168276i | ||||
\(933\) | −28.9569 | − | 31.4622i | −0.948007 | − | 1.03003i | ||||
\(934\) | −3.84766 | + | 2.22145i | −0.125899 | + | 0.0726880i | ||||
\(935\) | −2.65955 | − | 43.9683i | −0.0869764 | − | 1.43792i | ||||
\(936\) | 26.5609 | − | 20.0585i | 0.868169 | − | 0.655634i | ||||
\(937\) | 2.15545 | − | 2.96672i | 0.0704153 | − | 0.0969184i | −0.772357 | − | 0.635189i | \(-0.780922\pi\) |
0.842772 | + | 0.538271i | \(0.180922\pi\) | |||||||
\(938\) | −2.46948 | − | 11.6180i | −0.0806312 | − | 0.379340i | ||||
\(939\) | −11.0126 | + | 1.27918i | −0.359382 | + | 0.0417446i | ||||
\(940\) | 3.41414 | + | 32.4834i | 0.111357 | + | 1.05949i | ||||
\(941\) | −6.44006 | + | 4.67898i | −0.209940 | + | 0.152530i | −0.687787 | − | 0.725913i | \(-0.741418\pi\) |
0.477847 | + | 0.878443i | \(0.341418\pi\) | |||||||
\(942\) | 1.26063 | + | 1.69586i | 0.0410737 | + | 0.0552542i | ||||
\(943\) | −9.89865 | + | 8.91279i | −0.322345 | + | 0.290240i | ||||
\(944\) | −11.8809 | + | 16.3526i | −0.386689 | + | 0.532232i | ||||
\(945\) | −21.5999 | − | 44.5291i | −0.702645 | − | 1.44853i | ||||
\(946\) | 2.84693 | + | 10.2926i | 0.0925616 | + | 0.334640i | ||||
\(947\) | 43.0036 | − | 24.8282i | 1.39743 | − | 0.806807i | 0.403307 | − | 0.915065i | \(-0.367861\pi\) |
0.994123 | + | 0.108258i | \(0.0345272\pi\) | |||||||
\(948\) | 8.40570 | − | 1.88284i | 0.273005 | − | 0.0611518i | ||||
\(949\) | −21.1517 | + | 18.9175i | −0.686614 | + | 0.614089i | ||||
\(950\) | 59.4572 | − | 19.3188i | 1.92905 | − | 0.626785i | ||||
\(951\) | 30.3942 | − | 13.9320i | 0.985600 | − | 0.451776i | ||||
\(952\) | 9.69220 | − | 21.7690i | 0.314126 | − | 0.705539i | ||||
\(953\) | −22.8597 | − | 4.85898i | −0.740499 | − | 0.157398i | −0.177808 | − | 0.984065i | \(-0.556901\pi\) |
−0.562691 | + | 0.826667i | \(0.690234\pi\) | |||||||
\(954\) | 1.11429 | − | 5.86980i | 0.0360764 | − | 0.190042i | ||||
\(955\) | 45.5632 | − | 20.2861i | 1.47439 | − | 0.656441i | ||||
\(956\) | 2.45703 | − | 4.25570i | 0.0794661 | − | 0.137639i | ||||
\(957\) | 15.7267 | − | 43.4138i | 0.508371 | − | 1.40337i | ||||
\(958\) | 8.99898 | − | 15.5867i | 0.290744 | − | 0.503583i | ||||
\(959\) | −2.74308 | + | 26.0987i | −0.0885786 | + | 0.842769i | ||||
\(960\) | 29.9620 | − | 53.2295i | 0.967019 | − | 1.71798i | ||||
\(961\) | −9.57435 | − | 29.4668i | −0.308850 | − | 0.950543i | ||||
\(962\) | −17.9514 | − | 8.06444i | −0.578776 | − | 0.260008i | ||||
\(963\) | 5.83861 | + | 6.20637i | 0.188147 | + | 0.199997i | ||||
\(964\) | 1.19072 | + | 1.07213i | 0.0383505 | + | 0.0345310i | ||||
\(965\) | 23.8331 | − | 5.06588i | 0.767215 | − | 0.163077i | ||||
\(966\) | −23.5691 | − | 7.37454i | −0.758323 | − | 0.237272i | ||||
\(967\) | − | 2.76989i | − | 0.0890737i | −0.999008 | − | 0.0445369i | \(-0.985819\pi\) | ||
0.999008 | − | 0.0445369i | \(-0.0141812\pi\) | |||||||
\(968\) | 33.7154 | + | 2.99541i | 1.08365 | + | 0.0962760i | ||||
\(969\) | 8.50234 | + | 25.2269i | 0.273134 | + | 0.810405i | ||||
\(970\) | −26.6357 | + | 36.6609i | −0.855222 | + | 1.17711i | ||||
\(971\) | −18.0196 | + | 16.2249i | −0.578277 | + | 0.520683i | −0.905546 | − | 0.424248i | \(-0.860538\pi\) |
0.327269 | + | 0.944931i | \(0.393872\pi\) | |||||||
\(972\) | 8.86200 | − | 3.42454i | 0.284249 | − | 0.109842i | ||||
\(973\) | −3.11941 | − | 1.38885i | −0.100004 | − | 0.0445245i | ||||
\(974\) | 6.41894 | − | 4.66364i | 0.205676 | − | 0.149433i | ||||
\(975\) | −28.3007 | + | 64.8832i | −0.906347 | + | 2.07793i | ||||
\(976\) | −11.4745 | − | 3.72829i | −0.367290 | − | 0.119340i | ||||
\(977\) | −39.0817 | − | 4.10765i | −1.25033 | − | 0.131415i | −0.543874 | − | 0.839167i | \(-0.683043\pi\) |
−0.706461 | + | 0.707752i | \(0.749710\pi\) | |||||||
\(978\) | 6.52153 | − | 32.4180i | 0.208536 | − | 1.03661i | ||||
\(979\) | −0.464336 | + | 3.09272i | −0.0148402 | + | 0.0988436i | ||||
\(980\) | − | 3.56276i | − | 0.113808i | ||||||
\(981\) | 34.0449 | − | 20.6599i | 1.08697 | − | 0.659621i | ||||
\(982\) | 30.8987 | + | 34.3165i | 0.986018 | + | 1.09508i | ||||
\(983\) | 22.3073 | − | 7.24808i | 0.711492 | − | 0.231178i | 0.0691616 | − | 0.997605i | \(-0.477968\pi\) |
0.642331 | + | 0.766428i | \(0.277968\pi\) | |||||||
\(984\) | 8.01010 | − | 11.2820i | 0.255353 | − | 0.359656i | ||||
\(985\) | −22.0060 | + | 49.4264i | −0.701171 | + | 1.57486i | ||||
\(986\) | 20.8413 | − | 23.1466i | 0.663722 | − | 0.737138i | ||||
\(987\) | −46.5741 | + | 27.5720i | −1.48247 | + | 0.877625i | ||||
\(988\) | 6.06903 | − | 8.29489i | 0.193082 | − | 0.263896i | ||||
\(989\) | −14.0097 | −0.445483 | ||||||||
\(990\) | 43.7433 | − | 18.3096i | 1.39025 | − | 0.581916i | ||||
\(991\) | −14.2933 | − | 24.7568i | −0.454043 | − | 0.786425i | 0.544590 | − | 0.838702i | \(-0.316685\pi\) |
−0.998633 | + | 0.0522776i | \(0.983352\pi\) | |||||||
\(992\) | −0.391659 | + | 0.174378i | −0.0124352 | + | 0.00553650i | ||||
\(993\) | 25.1733 | − | 14.9027i | 0.798852 | − | 0.472922i | ||||
\(994\) | −23.7518 | − | 5.04859i | −0.753360 | − | 0.160132i | ||||
\(995\) | 99.1147 | − | 10.4174i | 3.14215 | − | 0.330253i | ||||
\(996\) | 14.7189 | + | 1.38471i | 0.466385 | + | 0.0438761i | ||||
\(997\) | 8.95263 | − | 42.1188i | 0.283533 | − | 1.33392i | −0.573734 | − | 0.819042i | \(-0.694505\pi\) |
0.857266 | − | 0.514874i | \(-0.172161\pi\) | |||||||
\(998\) | 9.96936 | − | 2.11905i | 0.315575 | − | 0.0670775i | ||||
\(999\) | −18.3910 | − | 15.4994i | −0.581865 | − | 0.490379i |
(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 | 429.2.bq.a.29.17 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bq.a.29.36 | yes | 416 | |
11.8 | odd | 10 | inner | 429.2.bq.a.107.17 | yes | 416 | |
13.9 | even | 3 | inner | 429.2.bq.a.425.36 | yes | 416 | |
33.8 | even | 10 | inner | 429.2.bq.a.107.36 | yes | 416 | |
39.35 | odd | 6 | inner | 429.2.bq.a.425.17 | yes | 416 | |
143.74 | odd | 30 | inner | 429.2.bq.a.74.36 | yes | 416 | |
429.74 | even | 30 | inner | 429.2.bq.a.74.17 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bq.a.29.17 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bq.a.29.36 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bq.a.74.17 | yes | 416 | 429.74 | even | 30 | inner | |
429.2.bq.a.74.36 | yes | 416 | 143.74 | odd | 30 | inner | |
429.2.bq.a.107.17 | yes | 416 | 11.8 | odd | 10 | inner | |
429.2.bq.a.107.36 | yes | 416 | 33.8 | even | 10 | inner | |
429.2.bq.a.425.17 | yes | 416 | 39.35 | odd | 6 | inner | |
429.2.bq.a.425.36 | yes | 416 | 13.9 | even | 3 | inner |