Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(17,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bg (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 395.15 | ||
Character | \(\chi\) | \(=\) | 441.395 |
Dual form | 441.2.bg.a.278.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.72508 | + | 0.677046i | 1.21982 | + | 0.478744i | 0.885908 | − | 0.463861i | \(-0.153536\pi\) |
0.333911 | + | 0.942605i | \(0.391632\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.05142 | + | 0.975576i | 0.525710 | + | 0.487788i | ||||
\(5\) | 0.820216 | + | 0.559214i | 0.366812 | + | 0.250088i | 0.732672 | − | 0.680582i | \(-0.238273\pi\) |
−0.365860 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.202012 | + | 2.63803i | 0.0763535 | + | 0.997081i | ||||
\(8\) | −0.454856 | − | 0.944519i | −0.160816 | − | 0.333938i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.03633 | + | 1.52001i | 0.327716 | + | 0.480671i | ||||
\(11\) | 0.669436 | + | 4.44142i | 0.201843 | + | 1.33914i | 0.828564 | + | 0.559895i | \(0.189158\pi\) |
−0.626721 | + | 0.779244i | \(0.715603\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.491128 | − | 0.391661i | 0.136214 | − | 0.108627i | −0.553012 | − | 0.833173i | \(-0.686522\pi\) |
0.689227 | + | 0.724546i | \(0.257950\pi\) | |||||||
\(14\) | −1.43758 | + | 4.68759i | −0.384209 | + | 1.25281i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.359555 | − | 4.79792i | −0.0898887 | − | 1.19948i | ||||
\(17\) | 7.67525 | + | 2.36750i | 1.86152 | + | 0.574204i | 0.997493 | + | 0.0707625i | \(0.0225432\pi\) |
0.864029 | + | 0.503441i | \(0.167933\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.358138 | − | 0.206771i | 0.0821624 | − | 0.0474365i | −0.458356 | − | 0.888769i | \(-0.651561\pi\) |
0.540518 | + | 0.841332i | \(0.318228\pi\) | |||||||
\(20\) | 0.316837 | + | 1.38815i | 0.0708468 | + | 0.310400i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.85221 | + | 8.11506i | −0.394892 | + | 1.73014i | ||||
\(23\) | −2.22443 | − | 7.21144i | −0.463827 | − | 1.50369i | −0.821701 | − | 0.569919i | \(-0.806975\pi\) |
0.357874 | − | 0.933770i | \(-0.383502\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.46667 | − | 3.73702i | −0.293334 | − | 0.747403i | ||||
\(26\) | 1.11241 | − | 0.343133i | 0.218161 | − | 0.0672939i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.36120 | + | 2.97076i | −0.446224 | + | 0.561420i | ||||
\(29\) | −0.523301 | + | 0.119440i | −0.0971746 | + | 0.0221795i | −0.270832 | − | 0.962627i | \(-0.587299\pi\) |
0.173657 | + | 0.984806i | \(0.444442\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.47171 | − | 4.31379i | −1.34196 | − | 0.774780i | −0.354864 | − | 0.934918i | \(-0.615473\pi\) |
−0.987095 | + | 0.160137i | \(0.948806\pi\) | |||||||
\(32\) | 2.01015 | − | 6.51673i | 0.355347 | − | 1.15201i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 11.6376 | + | 9.28064i | 1.99582 | + | 1.59162i | ||||
\(35\) | −1.30953 | + | 2.27672i | −0.221351 | + | 0.384836i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.17164 | + | 4.79859i | −0.850213 | + | 0.788883i | −0.979228 | − | 0.202760i | \(-0.935009\pi\) |
0.129015 | + | 0.991643i | \(0.458818\pi\) | |||||||
\(38\) | 0.757811 | − | 0.114222i | 0.122933 | − | 0.0185292i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.155108 | − | 1.02907i | 0.0245247 | − | 0.162711i | ||||
\(41\) | 4.20951 | − | 2.02719i | 0.657415 | − | 0.316594i | −0.0752690 | − | 0.997163i | \(-0.523982\pi\) |
0.732684 | + | 0.680569i | \(0.238267\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.50862 | − | 3.13439i | −0.992555 | − | 0.477989i | −0.134150 | − | 0.990961i | \(-0.542830\pi\) |
−0.858406 | + | 0.512972i | \(0.828545\pi\) | |||||||
\(44\) | −3.62908 | + | 5.32289i | −0.547105 | + | 0.802455i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.04514 | − | 13.9464i | 0.154097 | − | 2.05628i | ||||
\(47\) | −2.32547 | + | 5.92521i | −0.339205 | + | 0.864281i | 0.654885 | + | 0.755728i | \(0.272717\pi\) |
−0.994091 | + | 0.108553i | \(0.965378\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.91838 | + | 1.06583i | −0.988340 | + | 0.152261i | ||||
\(50\) | − | 7.43967i | − | 1.05213i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.898477 | + | 0.0673315i | 0.124596 | + | 0.00933720i | ||||
\(53\) | 1.40866 | − | 1.51817i | 0.193494 | − | 0.208537i | −0.628851 | − | 0.777525i | \(-0.716475\pi\) |
0.822346 | + | 0.568988i | \(0.192665\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.93462 | + | 4.01728i | −0.260864 | + | 0.541690i | ||||
\(56\) | 2.39978 | − | 1.39073i | 0.320684 | − | 0.185844i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.983605 | − | 0.148255i | −0.129154 | − | 0.0194668i | ||||
\(59\) | 10.2496 | − | 6.98805i | 1.33438 | − | 0.909767i | 0.334911 | − | 0.942250i | \(-0.391294\pi\) |
0.999472 | + | 0.0324825i | \(0.0103413\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.28105 | + | 3.53613i | 0.420096 | + | 0.452756i | 0.907270 | − | 0.420549i | \(-0.138163\pi\) |
−0.487174 | + | 0.873305i | \(0.661972\pi\) | |||||||
\(62\) | −9.96870 | − | 12.5003i | −1.26603 | − | 1.58755i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.88011 | − | 2.35758i | 0.235013 | − | 0.294697i | ||||
\(65\) | 0.621853 | − | 0.0466015i | 0.0771314 | − | 0.00578020i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.75271 | − | 3.03578i | 0.214127 | − | 0.370879i | −0.738875 | − | 0.673843i | \(-0.764643\pi\) |
0.953002 | + | 0.302963i | \(0.0979759\pi\) | |||||||
\(68\) | 5.76024 | + | 9.97704i | 0.698532 | + | 1.20989i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.80049 | + | 3.04093i | −0.454245 | + | 0.363460i | ||||
\(71\) | −2.14164 | − | 0.488815i | −0.254166 | − | 0.0580117i | 0.0935395 | − | 0.995616i | \(-0.470182\pi\) |
−0.347705 | + | 0.937604i | \(0.613039\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.40700 | − | 0.944676i | 0.281718 | − | 0.110566i | −0.220275 | − | 0.975438i | \(-0.570696\pi\) |
0.501993 | + | 0.864872i | \(0.332600\pi\) | |||||||
\(74\) | −12.1704 | + | 4.77652i | −1.41478 | + | 0.555260i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.578274 | + | 0.131987i | 0.0663326 | + | 0.0151400i | ||||
\(77\) | −11.5814 | + | 2.66321i | −1.31982 | + | 0.303501i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.85221 | − | 11.8684i | −0.770934 | − | 1.33530i | −0.937052 | − | 0.349191i | \(-0.886457\pi\) |
0.166118 | − | 0.986106i | \(-0.446877\pi\) | |||||||
\(80\) | 2.38815 | − | 4.13640i | 0.267004 | − | 0.462464i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 8.63426 | − | 0.647049i | 0.953495 | − | 0.0714546i | ||||
\(83\) | −6.36642 | + | 7.98324i | −0.698806 | + | 0.876275i | −0.996934 | − | 0.0782513i | \(-0.975066\pi\) |
0.298128 | + | 0.954526i | \(0.403638\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.97143 | + | 6.23397i | 0.539227 | + | 0.676169i | ||||
\(86\) | −9.10580 | − | 9.81371i | −0.981903 | − | 1.05824i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.89051 | − | 2.65250i | 0.414730 | − | 0.282758i | ||||
\(89\) | 6.09136 | + | 0.918124i | 0.645683 | + | 0.0973210i | 0.463716 | − | 0.885984i | \(-0.346516\pi\) |
0.181966 | + | 0.983305i | \(0.441754\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.13243 | + | 1.21649i | 0.118711 | + | 0.127523i | ||||
\(92\) | 4.69649 | − | 9.75236i | 0.489643 | − | 1.01675i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.02328 | + | 8.64704i | −0.827538 | + | 0.891874i | ||||
\(95\) | 0.409380 | + | 0.0306788i | 0.0420015 | + | 0.00314757i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 12.9594i | − | 1.31582i | −0.753095 | − | 0.657912i | \(-0.771440\pi\) | ||
0.753095 | − | 0.657912i | \(-0.228560\pi\) | |||||||
\(98\) | −12.6564 | − | 2.84542i | −1.27849 | − | 0.287430i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.10365 | − | 5.36003i | 0.210365 | − | 0.536003i | ||||
\(101\) | −0.00754295 | + | 0.100654i | −0.000750552 | + | 0.0100154i | −0.997566 | − | 0.0697214i | \(-0.977789\pi\) |
0.996816 | + | 0.0797369i | \(0.0254080\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.269415 | − | 0.395159i | 0.0265462 | − | 0.0389362i | −0.812736 | − | 0.582632i | \(-0.802023\pi\) |
0.839283 | + | 0.543696i | \(0.182975\pi\) | |||||||
\(104\) | −0.593324 | − | 0.285730i | −0.0581802 | − | 0.0280181i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.45793 | − | 1.66525i | 0.335863 | − | 0.161743i | ||||
\(107\) | 0.0362310 | − | 0.240377i | 0.00350259 | − | 0.0232381i | −0.987011 | − | 0.160651i | \(-0.948641\pi\) |
0.990514 | + | 0.137413i | \(0.0438787\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.8218 | − | 1.93257i | 1.22810 | − | 0.185107i | 0.497230 | − | 0.867619i | \(-0.334351\pi\) |
0.730875 | + | 0.682512i | \(0.239112\pi\) | |||||||
\(110\) | −6.05727 | + | 5.62032i | −0.577538 | + | 0.535877i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.5844 | − | 1.91776i | 1.18912 | − | 0.181211i | ||||
\(113\) | −0.781027 | − | 0.622848i | −0.0734728 | − | 0.0585926i | 0.586065 | − | 0.810264i | \(-0.300676\pi\) |
−0.659538 | + | 0.751672i | \(0.729248\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.20822 | − | 7.15887i | 0.205918 | − | 0.667568i | ||||
\(116\) | −0.666733 | − | 0.384938i | −0.0619046 | − | 0.0357406i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 22.4126 | − | 5.11554i | 2.06325 | − | 0.470924i | ||||
\(119\) | −4.69504 | + | 20.7258i | −0.430394 | + | 1.89993i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.76676 | + | 2.70419i | −0.796978 | + | 0.245835i | ||||
\(122\) | 3.26597 | + | 8.32155i | 0.295687 | + | 0.753398i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.64748 | − | 11.8248i | −0.327553 | − | 1.06190i | ||||
\(125\) | 1.99130 | − | 8.72445i | 0.178107 | − | 0.780339i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.34854 | + | 14.6709i | 0.297135 | + | 1.30183i | 0.874372 | + | 0.485256i | \(0.161274\pi\) |
−0.577237 | + | 0.816577i | \(0.695869\pi\) | |||||||
\(128\) | −6.97256 | + | 4.02561i | −0.616293 | + | 0.355817i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.10430 | + | 0.340632i | 0.0968535 | + | 0.0298754i | ||||
\(131\) | 1.56593 | + | 20.8959i | 0.136816 | + | 1.82568i | 0.469823 | + | 0.882760i | \(0.344318\pi\) |
−0.333007 | + | 0.942924i | \(0.608063\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.617816 | + | 0.903007i | 0.0535714 | + | 0.0783006i | ||||
\(134\) | 5.07893 | − | 4.05031i | 0.438753 | − | 0.349893i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.25499 | − | 8.32630i | −0.107614 | − | 0.713974i | ||||
\(137\) | −1.62029 | − | 2.37653i | −0.138431 | − | 0.203040i | 0.750763 | − | 0.660572i | \(-0.229686\pi\) |
−0.889193 | + | 0.457531i | \(0.848734\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.02750 | + | 14.5927i | 0.596064 | + | 1.23774i | 0.952818 | + | 0.303542i | \(0.0981693\pi\) |
−0.356754 | + | 0.934198i | \(0.616116\pi\) | |||||||
\(140\) | −3.59798 | + | 1.11625i | −0.304085 | + | 0.0943402i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.36356 | − | 2.29323i | −0.282263 | − | 0.192444i | ||||
\(143\) | 2.06831 | + | 1.91911i | 0.172961 | + | 0.160484i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.496013 | − | 0.194671i | −0.0411916 | − | 0.0161665i | ||||
\(146\) | 4.79186 | 0.396577 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −10.1190 | −0.831773 | ||||||||
\(149\) | −10.5563 | − | 4.14306i | −0.864809 | − | 0.339412i | −0.108871 | − | 0.994056i | \(-0.534724\pi\) |
−0.755938 | + | 0.654643i | \(0.772819\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.26545 | + | 4.88563i | 0.428497 | + | 0.397587i | 0.864722 | − | 0.502251i | \(-0.167495\pi\) |
−0.436225 | + | 0.899837i | \(0.643685\pi\) | |||||||
\(152\) | −0.358200 | − | 0.244217i | −0.0290539 | − | 0.0198086i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −21.7819 | − | 3.24684i | −1.75524 | − | 0.261638i | ||||
\(155\) | −3.71608 | − | 7.71653i | −0.298483 | − | 0.619807i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.37154 | + | 12.2788i | 0.668121 | + | 0.979954i | 0.999337 | + | 0.0363992i | \(0.0115888\pi\) |
−0.331216 | + | 0.943555i | \(0.607459\pi\) | |||||||
\(158\) | −3.78521 | − | 25.1132i | −0.301135 | − | 1.99790i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.29300 | − | 4.22103i | 0.418449 | − | 0.333702i | ||||
\(161\) | 18.5746 | − | 7.32492i | 1.46388 | − | 0.577285i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.909893 | − | 12.1417i | −0.0712684 | − | 0.951010i | −0.912167 | − | 0.409818i | \(-0.865592\pi\) |
0.840899 | − | 0.541192i | \(-0.182027\pi\) | |||||||
\(164\) | 6.40365 | + | 1.97526i | 0.500041 | + | 0.154242i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.3876 | + | 9.46141i | −1.27193 | + | 0.734347i | ||||
\(167\) | 0.136107 | + | 0.596325i | 0.0105323 | + | 0.0461450i | 0.979921 | − | 0.199386i | \(-0.0638948\pi\) |
−0.969389 | + | 0.245531i | \(0.921038\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.80496 | + | 12.2894i | −0.215766 | + | 0.945335i | ||||
\(170\) | 4.35545 | + | 14.1200i | 0.334048 | + | 1.08296i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.78547 | − | 9.64521i | −0.288639 | − | 0.735441i | ||||
\(173\) | 13.2392 | − | 4.08374i | 1.00655 | − | 0.310481i | 0.252716 | − | 0.967541i | \(-0.418676\pi\) |
0.753839 | + | 0.657060i | \(0.228200\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.56207 | − | 4.62404i | 0.722824 | − | 0.349545i | ||||
\(176\) | 21.0689 | − | 4.80884i | 1.58813 | − | 0.362480i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.88649 | + | 5.70797i | 0.741024 | + | 0.427830i | ||||
\(179\) | −1.47460 | + | 4.78053i | −0.110217 | + | 0.357313i | −0.993831 | − | 0.110901i | \(-0.964626\pi\) |
0.883615 | + | 0.468214i | \(0.155103\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.6220 | − | 11.6606i | −1.08684 | − | 0.866727i | −0.0951625 | − | 0.995462i | \(-0.530337\pi\) |
−0.991679 | + | 0.128735i | \(0.958908\pi\) | |||||||
\(182\) | 1.12991 | + | 2.86525i | 0.0837548 | + | 0.212386i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.79954 | + | 5.38119i | −0.427548 | + | 0.396707i | ||||
\(185\) | −6.92530 | + | 1.04382i | −0.509158 | + | 0.0767433i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.37698 | + | 35.6739i | −0.393204 | + | 2.60874i | ||||
\(188\) | −8.22555 | + | 3.96121i | −0.599910 | + | 0.288901i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.685443 | + | 0.330092i | 0.0497273 | + | 0.0239474i | ||||
\(191\) | −5.70823 | + | 8.37244i | −0.413033 | + | 0.605809i | −0.975230 | − | 0.221195i | \(-0.929004\pi\) |
0.562196 | + | 0.827004i | \(0.309957\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.696044 | + | 9.28806i | −0.0501023 | + | 0.668569i | 0.914454 | + | 0.404691i | \(0.132621\pi\) |
−0.964556 | + | 0.263878i | \(0.914998\pi\) | |||||||
\(194\) | 8.77408 | − | 22.3560i | 0.629942 | − | 1.60507i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.31393 | − | 5.62877i | −0.593852 | − | 0.402055i | ||||
\(197\) | − | 8.73158i | − | 0.622099i | −0.950394 | − | 0.311050i | \(-0.899319\pi\) | ||
0.950394 | − | 0.311050i | \(-0.100681\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.0033 | − | 0.824586i | −0.780006 | − | 0.0584533i | −0.321225 | − | 0.947003i | \(-0.604095\pi\) |
−0.458781 | + | 0.888550i | \(0.651714\pi\) | |||||||
\(200\) | −2.86256 | + | 3.08510i | −0.202413 | + | 0.218150i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.0811594 | + | 0.168529i | −0.00571036 | + | 0.0118577i | ||||
\(203\) | −0.420800 | − | 1.35635i | −0.0295343 | − | 0.0951974i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.58634 | + | 0.691280i | 0.320324 | + | 0.0482811i | ||||
\(206\) | 0.732304 | − | 0.499276i | 0.0510220 | − | 0.0347862i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.05575 | − | 2.21557i | −0.142540 | − | 0.153622i | ||||
\(209\) | 1.15811 | + | 1.45222i | 0.0801079 | + | 0.100452i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.58614 | − | 1.98896i | 0.109195 | − | 0.136926i | −0.724231 | − | 0.689558i | \(-0.757805\pi\) |
0.833426 | + | 0.552632i | \(0.186376\pi\) | |||||||
\(212\) | 2.96219 | − | 0.221985i | 0.203444 | − | 0.0152460i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.225248 | − | 0.390141i | 0.0153976 | − | 0.0266695i | ||||
\(215\) | −3.58568 | − | 6.21059i | −0.244542 | − | 0.423558i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.87053 | − | 20.5820i | 0.670055 | − | 1.39720i | ||||
\(218\) | 23.4271 | + | 5.34708i | 1.58668 | + | 0.362150i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.95327 | + | 2.33648i | −0.401369 | + | 0.157526i | ||||
\(221\) | 4.69679 | − | 1.84335i | 0.315940 | − | 0.123997i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.1361 | − | 4.59593i | −1.34841 | − | 0.307766i | −0.513471 | − | 0.858107i | \(-0.671640\pi\) |
−0.834940 | + | 0.550341i | \(0.814498\pi\) | |||||||
\(224\) | 17.5974 | + | 3.98636i | 1.17578 | + | 0.266350i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.925640 | − | 1.60326i | −0.0615727 | − | 0.106647i | ||||
\(227\) | 2.55915 | − | 4.43258i | 0.169857 | − | 0.294201i | −0.768512 | − | 0.639835i | \(-0.779003\pi\) |
0.938369 | + | 0.345634i | \(0.112336\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.1475 | + | 1.28503i | −1.13314 | + | 0.0849172i | −0.628068 | − | 0.778159i | \(-0.716154\pi\) |
−0.505074 | + | 0.863076i | \(0.668535\pi\) | |||||||
\(230\) | 8.65625 | − | 10.8546i | 0.570776 | − | 0.715731i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.350840 | + | 0.439940i | 0.0230338 | + | 0.0288835i | ||||
\(233\) | −2.12482 | − | 2.29001i | −0.139202 | − | 0.150024i | 0.659603 | − | 0.751614i | \(-0.270724\pi\) |
−0.798805 | + | 0.601591i | \(0.794534\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.22085 | + | 3.55952i | −0.340571 | + | 0.232197i | ||||
\(236\) | 17.5940 | + | 2.65187i | 1.14527 | + | 0.172622i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −22.1317 | + | 32.5750i | −1.43458 | + | 2.11152i | ||||
\(239\) | −10.2085 | + | 21.1981i | −0.660332 | + | 1.37119i | 0.254387 | + | 0.967103i | \(0.418126\pi\) |
−0.914719 | + | 0.404091i | \(0.867588\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.01254 | − | 3.24675i | 0.194055 | − | 0.209142i | −0.628527 | − | 0.777787i | \(-0.716342\pi\) |
0.822582 | + | 0.568646i | \(0.192533\pi\) | |||||||
\(242\) | −16.9543 | − | 1.27055i | −1.08986 | − | 0.0816738i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.91888i | 0.442936i | ||||||||
\(245\) | −6.27060 | − | 2.99465i | −0.400614 | − | 0.191321i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0949072 | − | 0.241820i | 0.00603880 | − | 0.0153866i | ||||
\(248\) | −0.675905 | + | 9.01933i | −0.0429200 | + | 0.572728i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.34201 | − | 13.7022i | 0.590841 | − | 0.866604i | ||||
\(251\) | −12.7904 | − | 6.15955i | −0.807325 | − | 0.388787i | −0.0157627 | − | 0.999876i | \(-0.505018\pi\) |
−0.791562 | + | 0.611089i | \(0.790732\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 30.5399 | − | 14.7072i | 1.92003 | − | 0.924637i | ||||
\(254\) | −4.15636 | + | 27.5757i | −0.260793 | + | 1.73025i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −20.7173 | + | 3.12263i | −1.29483 | + | 0.195165i | ||||
\(257\) | −21.1023 | + | 19.5801i | −1.31633 | + | 1.22137i | −0.358669 | + | 0.933465i | \(0.616769\pi\) |
−0.957658 | + | 0.287908i | \(0.907040\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.7035 | − | 12.6736i | −0.851496 | − | 0.787497i | ||||
\(260\) | 0.699293 | + | 0.557667i | 0.0433683 | + | 0.0345851i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −11.4461 | + | 37.1074i | −0.707144 | + | 2.29250i | ||||
\(263\) | 9.22658 | + | 5.32697i | 0.568935 | + | 0.328475i | 0.756724 | − | 0.653734i | \(-0.226799\pi\) |
−0.187789 | + | 0.982209i | \(0.560132\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.00439 | − | 0.457488i | 0.123129 | − | 0.0281033i | ||||
\(266\) | 0.454407 | + | 1.97605i | 0.0278615 | + | 0.121160i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.80447 | − | 1.48198i | 0.293479 | − | 0.0905264i | ||||
\(269\) | −6.03987 | − | 15.3893i | −0.368257 | − | 0.938304i | −0.988132 | − | 0.153604i | \(-0.950912\pi\) |
0.619875 | − | 0.784700i | \(-0.287183\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.23438 | − | 16.9695i | −0.317966 | − | 1.03082i | −0.963639 | − | 0.267207i | \(-0.913899\pi\) |
0.645673 | − | 0.763614i | \(-0.276577\pi\) | |||||||
\(272\) | 8.59942 | − | 37.6765i | 0.521417 | − | 2.28448i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.18612 | − | 5.19672i | −0.0716559 | − | 0.313945i | ||||
\(275\) | 15.6158 | − | 9.01579i | 0.941669 | − | 0.543673i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 30.7732 | + | 9.49229i | 1.84899 | + | 0.570336i | 0.999056 | + | 0.0434394i | \(0.0138316\pi\) |
0.849929 | + | 0.526897i | \(0.176645\pi\) | |||||||
\(278\) | 2.24307 | + | 29.9316i | 0.134530 | + | 1.79518i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.74605 | + | 0.201293i | 0.164108 | + | 0.0120296i | ||||
\(281\) | −5.50516 | + | 4.39022i | −0.328410 | + | 0.261899i | −0.773789 | − | 0.633444i | \(-0.781641\pi\) |
0.445378 | + | 0.895343i | \(0.353069\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.92498 | + | 12.7714i | 0.114428 | + | 0.759180i | 0.970285 | + | 0.241967i | \(0.0777925\pi\) |
−0.855856 | + | 0.517213i | \(0.826969\pi\) | |||||||
\(284\) | −1.77489 | − | 2.60328i | −0.105320 | − | 0.154476i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.26868 | + | 4.71097i | 0.134150 | + | 0.278565i | ||||
\(287\) | 6.19817 | + | 10.6953i | 0.365866 | + | 0.631323i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 39.2584 | + | 26.7659i | 2.30932 | + | 1.57447i | ||||
\(290\) | −0.723863 | − | 0.671646i | −0.0425067 | − | 0.0394404i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.45237 | + | 1.35496i | 0.202035 | + | 0.0792928i | ||||
\(293\) | 12.8563 | 0.751072 | 0.375536 | − | 0.926808i | \(-0.377459\pi\) | ||||
0.375536 | + | 0.926808i | \(0.377459\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.3147 | 0.716990 | ||||||||
\(296\) | 6.88471 | + | 2.70205i | 0.400166 | + | 0.157053i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.4055 | − | 14.2942i | −0.892418 | − | 0.828043i | ||||
\(299\) | −3.91692 | − | 2.67051i | −0.226521 | − | 0.154440i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.95378 | − | 17.8031i | 0.400809 | − | 1.02615i | ||||
\(302\) | 5.77556 | + | 11.9931i | 0.332346 | + | 0.690124i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.12084 | − | 1.64397i | −0.0642847 | − | 0.0942883i | ||||
\(305\) | 0.713717 | + | 4.73520i | 0.0408673 | + | 0.271137i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.22712 | + | 2.57354i | −0.184182 | + | 0.146880i | −0.711240 | − | 0.702949i | \(-0.751866\pi\) |
0.527059 | + | 0.849829i | \(0.323295\pi\) | |||||||
\(308\) | −14.7750 | − | 8.49833i | −0.841886 | − | 0.484237i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.18612 | − | 15.8276i | −0.0673669 | − | 0.898948i | ||||
\(311\) | 22.1482 | + | 6.83180i | 1.25591 | + | 0.387396i | 0.850128 | − | 0.526576i | \(-0.176524\pi\) |
0.405778 | + | 0.913972i | \(0.367000\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −21.1197 | + | 12.1935i | −1.19375 | + | 0.689215i | −0.959156 | − | 0.282878i | \(-0.908711\pi\) |
−0.234599 | + | 0.972092i | \(0.575378\pi\) | |||||||
\(314\) | 6.12831 | + | 26.8499i | 0.345840 | + | 1.51523i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.37395 | − | 19.1635i | 0.246054 | − | 1.07803i | ||||
\(317\) | −5.67594 | − | 18.4010i | −0.318793 | − | 1.03350i | −0.963193 | − | 0.268812i | \(-0.913369\pi\) |
0.644400 | − | 0.764689i | \(-0.277107\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.880800 | − | 2.24424i | −0.0493153 | − | 0.125653i | ||||
\(320\) | 2.86049 | − | 0.882343i | 0.159906 | − | 0.0493245i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 37.0021 | − | 0.0602417i | 2.06205 | − | 0.00335714i | ||||
\(323\) | 3.23833 | − | 0.739128i | 0.180185 | − | 0.0411262i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.18397 | − | 1.26091i | −0.121145 | − | 0.0699429i | ||||
\(326\) | 6.65083 | − | 21.5615i | 0.368356 | − | 1.19418i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.82945 | − | 3.05388i | −0.211446 | − | 0.168622i | ||||
\(329\) | −16.1006 | − | 4.93770i | −0.887657 | − | 0.272224i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.09235 | + | 5.65287i | −0.334866 | + | 0.310710i | −0.829626 | − | 0.558319i | \(-0.811446\pi\) |
0.494760 | + | 0.869030i | \(0.335256\pi\) | |||||||
\(332\) | −14.4820 | + | 2.18282i | −0.794806 | + | 0.119798i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.168943 | + | 1.12086i | −0.00924414 | + | 0.0613309i | ||||
\(335\) | 3.13525 | − | 1.50986i | 0.171297 | − | 0.0824922i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.4191 | + | 12.2412i | 1.38467 | + | 0.666820i | 0.969989 | − | 0.243149i | \(-0.0781806\pi\) |
0.414676 | + | 0.909969i | \(0.363895\pi\) | |||||||
\(338\) | −13.1593 | + | 19.3011i | −0.715769 | + | 1.04984i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.854652 | + | 11.4045i | −0.0463500 | + | 0.618498i | ||||
\(341\) | 14.1575 | − | 36.0728i | 0.766674 | − | 1.95345i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.20928 | − | 18.0356i | −0.227280 | − | 0.973829i | ||||
\(344\) | 7.57321i | 0.408320i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 25.6035 | + | 1.91872i | 1.37645 | + | 0.103151i | ||||
\(347\) | −1.79422 | + | 1.93371i | −0.0963188 | + | 0.103807i | −0.779371 | − | 0.626562i | \(-0.784461\pi\) |
0.683053 | + | 0.730369i | \(0.260652\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.44042 | + | 17.5267i | −0.451805 | + | 0.938184i | 0.543316 | + | 0.839528i | \(0.317168\pi\) |
−0.995122 | + | 0.0986556i | \(0.968546\pi\) | |||||||
\(350\) | 19.6261 | − | 1.50291i | 1.04906 | − | 0.0803337i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 30.2892 | + | 4.56536i | 1.61442 | + | 0.243335i | ||||
\(353\) | 14.3780 | − | 9.80275i | 0.765263 | − | 0.521748i | −0.116642 | − | 0.993174i | \(-0.537213\pi\) |
0.881905 | + | 0.471426i | \(0.156261\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.48325 | − | 1.59857i | −0.0787230 | − | 0.0848432i | ||||
\(356\) | 5.50888 | + | 6.90792i | 0.291970 | + | 0.366119i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.78044 | + | 7.24844i | −0.305506 | + | 0.383092i | ||||
\(359\) | −6.62300 | + | 0.496326i | −0.349549 | + | 0.0261951i | −0.248348 | − | 0.968671i | \(-0.579888\pi\) |
−0.101201 | + | 0.994866i | \(0.532269\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.41449 | + | 16.3064i | −0.495500 | + | 0.858230i | ||||
\(362\) | −17.3293 | − | 30.0153i | −0.910810 | − | 1.57757i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.00388099 | + | 2.38381i | 0.000203419 | + | 0.124946i | ||||
\(365\) | 2.50253 | + | 0.571187i | 0.130989 | + | 0.0298973i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.6789 | − | 8.11586i | 1.07943 | − | 0.423645i | 0.242048 | − | 0.970264i | \(-0.422181\pi\) |
0.837381 | + | 0.546620i | \(0.184086\pi\) | |||||||
\(368\) | −33.8001 | + | 13.2656i | −1.76195 | + | 0.691516i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −12.6534 | − | 2.88807i | −0.657821 | − | 0.150143i | ||||
\(371\) | 4.28955 | + | 3.40939i | 0.222702 | + | 0.177007i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.15951 | + | 3.74039i | 0.111815 | + | 0.193670i | 0.916502 | − | 0.400030i | \(-0.131000\pi\) |
−0.804687 | + | 0.593699i | \(0.797667\pi\) | |||||||
\(374\) | −33.4286 | + | 57.9001i | −1.72855 | + | 2.99394i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.65423 | − | 0.498666i | 0.343166 | − | 0.0257167i | ||||
\(377\) | −0.210228 | + | 0.263617i | −0.0108273 | + | 0.0135770i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.9466 | − | 22.5043i | −0.921853 | − | 1.15597i | −0.987420 | − | 0.158119i | \(-0.949457\pi\) |
0.0655670 | − | 0.997848i | \(-0.479114\pi\) | |||||||
\(380\) | 0.400501 | + | 0.431637i | 0.0205453 | + | 0.0221425i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −15.5157 | + | 10.5784i | −0.793853 | + | 0.541240i | ||||
\(383\) | −27.5261 | − | 4.14889i | −1.40652 | − | 0.211998i | −0.598483 | − | 0.801135i | \(-0.704230\pi\) |
−0.808033 | + | 0.589137i | \(0.799468\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.9885 | − | 4.29204i | −0.560027 | − | 0.218743i | ||||
\(386\) | −7.48917 | + | 15.5514i | −0.381189 | + | 0.791547i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 12.6428 | − | 13.6257i | 0.641843 | − | 0.691743i | ||||
\(389\) | −25.2049 | − | 1.88884i | −1.27794 | − | 0.0957681i | −0.581595 | − | 0.813478i | \(-0.697571\pi\) |
−0.696342 | + | 0.717710i | \(0.745190\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 60.6160i | − | 3.06548i | ||||||
\(392\) | 4.15357 | + | 6.04974i | 0.209787 | + | 0.305558i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.91168 | − | 15.0627i | 0.297826 | − | 0.758849i | ||||
\(395\) | 1.01667 | − | 13.5665i | 0.0511541 | − | 0.682604i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.72275 | + | 3.99355i | −0.136651 | + | 0.200430i | −0.888464 | − | 0.458946i | \(-0.848227\pi\) |
0.751813 | + | 0.659376i | \(0.229180\pi\) | |||||||
\(398\) | −18.4234 | − | 8.87224i | −0.923481 | − | 0.444725i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.4026 | + | 8.38064i | −0.870129 | + | 0.419032i | ||||
\(401\) | −0.602095 | + | 3.99464i | −0.0300672 | + | 0.199483i | −0.998821 | − | 0.0485407i | \(-0.984543\pi\) |
0.968754 | + | 0.248024i | \(0.0797810\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.35911 | + | 0.807756i | −0.266956 | + | 0.0402372i | ||||
\(404\) | −0.106126 | + | 0.0984707i | −0.00527997 | + | 0.00489910i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.192399 | − | 2.62473i | 0.00954862 | − | 0.130263i | ||||
\(407\) | −24.7746 | − | 19.7571i | −1.22803 | − | 0.979323i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.49502 | − | 8.08867i | 0.123371 | − | 0.399959i | −0.872727 | − | 0.488208i | \(-0.837651\pi\) |
0.996098 | + | 0.0882487i | \(0.0281270\pi\) | |||||||
\(410\) | 7.44380 | + | 4.29768i | 0.367623 | + | 0.212247i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.668776 | − | 0.152644i | 0.0329482 | − | 0.00752022i | ||||
\(413\) | 20.5052 | + | 25.6270i | 1.00900 | + | 1.26102i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.68618 | + | 2.98779i | −0.475476 | + | 0.146665i | ||||
\(416\) | −1.56511 | − | 3.98784i | −0.0767360 | − | 0.195520i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.01461 | + | 3.28929i | 0.0496263 | + | 0.160885i | ||||
\(419\) | 6.41958 | − | 28.1260i | 0.313617 | − | 1.37405i | −0.534917 | − | 0.844904i | \(-0.679657\pi\) |
0.848534 | − | 0.529141i | \(-0.177486\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.12201 | − | 31.2035i | −0.347105 | − | 1.52077i | −0.783717 | − | 0.621118i | \(-0.786679\pi\) |
0.436612 | − | 0.899650i | \(-0.356178\pi\) | |||||||
\(422\) | 4.08285 | − | 2.35724i | 0.198750 | − | 0.114748i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.07468 | − | 0.639954i | −0.100755 | − | 0.0310789i | ||||
\(425\) | −2.40968 | − | 32.1549i | −0.116886 | − | 1.55974i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.66561 | + | 9.36985i | −0.419358 | + | 0.453439i | ||||
\(428\) | 0.272600 | − | 0.217392i | 0.0131766 | − | 0.0105080i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.98076 | − | 13.1415i | −0.0955205 | − | 0.633737i | ||||
\(431\) | 14.8179 | + | 21.7338i | 0.713751 | + | 1.04688i | 0.996157 | + | 0.0875856i | \(0.0279151\pi\) |
−0.282406 | + | 0.959295i | \(0.591132\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.84177 | + | 14.2071i | 0.328794 | + | 0.682748i | 0.998189 | − | 0.0601587i | \(-0.0191607\pi\) |
−0.669394 | + | 0.742907i | \(0.733446\pi\) | |||||||
\(434\) | 30.9625 | − | 28.8229i | 1.48625 | − | 1.38354i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 15.3665 | + | 10.4767i | 0.735920 | + | 0.501742i | ||||
\(437\) | −2.28777 | − | 2.12274i | −0.109439 | − | 0.101544i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.8305 | − | 4.25068i | −0.516914 | − | 0.202874i | 0.0925199 | − | 0.995711i | \(-0.470508\pi\) |
−0.609434 | + | 0.792837i | \(0.708603\pi\) | |||||||
\(440\) | 4.67437 | 0.222842 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.35039 | 0.444753 | ||||||||
\(443\) | −1.42415 | − | 0.558937i | −0.0676633 | − | 0.0265559i | 0.331268 | − | 0.943537i | \(-0.392524\pi\) |
−0.398931 | + | 0.916981i | \(0.630619\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.48280 | + | 4.15943i | 0.212505 | + | 0.197176i | ||||
\(446\) | −31.6248 | − | 21.5614i | −1.49748 | − | 1.02096i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.59917 | + | 4.48351i | 0.311781 | + | 0.211826i | ||||
\(449\) | −8.49715 | − | 17.6445i | −0.401005 | − | 0.832696i | −0.999502 | − | 0.0315705i | \(-0.989949\pi\) |
0.598496 | − | 0.801126i | \(-0.295765\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.8216 | + | 17.3391i | 0.556658 | + | 0.816468i | ||||
\(452\) | −0.213552 | − | 1.41683i | −0.0100446 | − | 0.0666419i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.41582 | − | 5.91392i | 0.348042 | − | 0.277554i | ||||
\(455\) | 0.248558 | + | 1.63105i | 0.0116526 | + | 0.0764649i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.42706 | − | 32.3868i | −0.113533 | − | 1.51499i | −0.705315 | − | 0.708894i | \(-0.749194\pi\) |
0.591782 | − | 0.806098i | \(-0.298425\pi\) | |||||||
\(458\) | −30.4510 | − | 9.39289i | −1.42288 | − | 0.438901i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 9.30579 | − | 5.37270i | 0.433885 | − | 0.250504i | ||||
\(461\) | 2.97254 | + | 13.0235i | 0.138445 | + | 0.606567i | 0.995777 | + | 0.0918033i | \(0.0292631\pi\) |
−0.857332 | + | 0.514763i | \(0.827880\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.86102 | − | 12.5350i | 0.132963 | − | 0.582549i | −0.863918 | − | 0.503632i | \(-0.831997\pi\) |
0.996881 | − | 0.0789168i | \(-0.0251461\pi\) | |||||||
\(464\) | 0.761220 | + | 2.46781i | 0.0353387 | + | 0.114565i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.11505 | − | 5.38906i | −0.0979778 | − | 0.249643i | ||||
\(467\) | 4.18418 | − | 1.29065i | 0.193621 | − | 0.0597241i | −0.196428 | − | 0.980518i | \(-0.562934\pi\) |
0.390049 | + | 0.920794i | \(0.372458\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.36254 | + | 4.01043i | 0.386146 | + | 0.185184i | ||||
\(470\) | −11.4164 | + | 2.60571i | −0.526598 | + | 0.120192i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.2624 | − | 6.50238i | −0.518396 | − | 0.299296i | ||||
\(473\) | 9.56402 | − | 31.0058i | 0.439754 | − | 1.42565i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.29798 | − | 1.03510i | −0.0595552 | − | 0.0474937i | ||||
\(476\) | −25.1561 | + | 17.2112i | −1.15303 | + | 0.788873i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −31.9626 | + | 29.6570i | −1.46194 | + | 1.35648i | ||||
\(479\) | −20.9513 | + | 3.15790i | −0.957290 | + | 0.144288i | −0.609063 | − | 0.793122i | \(-0.708454\pi\) |
−0.348227 | + | 0.937410i | \(0.613216\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.660518 | + | 4.38225i | −0.0301170 | + | 0.199813i | ||||
\(482\) | 7.39509 | − | 3.56129i | 0.336837 | − | 0.162212i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.8557 | − | 5.70940i | −0.538895 | − | 0.259518i | ||||
\(485\) | 7.24706 | − | 10.6295i | 0.329072 | − | 0.482660i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.730807 | − | 9.75194i | 0.0331160 | − | 0.441902i | −0.955860 | − | 0.293824i | \(-0.905072\pi\) |
0.988976 | − | 0.148079i | \(-0.0473089\pi\) | |||||||
\(488\) | 1.84754 | − | 4.70745i | 0.0836341 | − | 0.213096i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −8.78979 | − | 9.41150i | −0.397082 | − | 0.425168i | ||||
\(491\) | 23.7594i | 1.07224i | 0.844140 | + | 0.536122i | \(0.180111\pi\) | ||||
−0.844140 | + | 0.536122i | \(0.819889\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.29924 | − | 0.322184i | −0.193628 | − | 0.0145104i | ||||
\(494\) | 0.327446 | − | 0.352903i | 0.0147325 | − | 0.0158778i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −18.0108 | + | 37.3998i | −0.808708 | + | 1.67930i | ||||
\(497\) | 0.856870 | − | 5.74845i | 0.0384359 | − | 0.257853i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.3120 | + | 3.21226i | 0.954055 | + | 0.143801i | 0.607580 | − | 0.794259i | \(-0.292141\pi\) |
0.346475 | + | 0.938059i | \(0.387379\pi\) | |||||||
\(500\) | 10.6051 | − | 7.23041i | 0.474273 | − | 0.323354i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −17.8943 | − | 19.2854i | −0.798661 | − | 0.860751i | ||||
\(503\) | 10.7609 | + | 13.4938i | 0.479807 | + | 0.601659i | 0.961542 | − | 0.274658i | \(-0.0885647\pi\) |
−0.481735 | + | 0.876317i | \(0.659993\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0624738 | + | 0.0783397i | −0.00278005 | + | 0.00348607i | ||||
\(506\) | 62.6414 | − | 4.69432i | 2.78475 | − | 0.208688i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.7919 | + | 18.6921i | −0.478812 | + | 0.829326i | ||||
\(509\) | 16.3177 | + | 28.2630i | 0.723268 | + | 1.25274i | 0.959683 | + | 0.281085i | \(0.0906942\pi\) |
−0.236415 | + | 0.971652i | \(0.575972\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.97833 | + | 6.15889i | 0.131753 | + | 0.272453i | ||||
\(512\) | −22.1546 | − | 5.05664i | −0.979104 | − | 0.223474i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −49.6599 | + | 19.4901i | −2.19040 | + | 0.859671i | ||||
\(515\) | 0.441957 | − | 0.173455i | 0.0194749 | − | 0.00764335i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −27.8731 | − | 6.36185i | −1.22586 | − | 0.279794i | ||||
\(518\) | −15.0592 | − | 31.1409i | −0.661662 | − | 1.36825i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.326870 | − | 0.566155i | −0.0143342 | − | 0.0248275i | ||||
\(521\) | 7.83292 | − | 13.5670i | 0.343166 | − | 0.594382i | −0.641852 | − | 0.766828i | \(-0.721834\pi\) |
0.985019 | + | 0.172446i | \(0.0551672\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 25.4385 | − | 1.90635i | 1.11235 | − | 0.0833589i | 0.494146 | − | 0.869379i | \(-0.335481\pi\) |
0.618201 | + | 0.786020i | \(0.287862\pi\) | |||||||
\(524\) | −18.7391 | + | 23.4981i | −0.818621 | + | 1.02652i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.3100 | + | 15.4363i | 0.536743 | + | 0.673054i | ||||
\(527\) | −47.1344 | − | 50.7988i | −2.05321 | − | 2.21283i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −28.0533 | + | 19.1264i | −1.21971 | + | 0.831582i | ||||
\(530\) | 3.76748 | + | 0.567856i | 0.163649 | + | 0.0246661i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.231368 | + | 1.55217i | −0.0100311 | + | 0.0672950i | ||||
\(533\) | 1.27343 | − | 2.64431i | 0.0551585 | − | 0.114538i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.164140 | − | 0.176900i | 0.00709637 | − | 0.00764807i | ||||
\(536\) | −3.66458 | − | 0.274622i | −0.158286 | − | 0.0118619i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 30.6372i | − | 1.32086i | ||||||
\(539\) | −9.36521 | − | 30.0139i | −0.403388 | − | 1.29279i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.49182 | + | 3.80109i | −0.0641383 | + | 0.163422i | −0.959350 | − | 0.282220i | \(-0.908929\pi\) |
0.895211 | + | 0.445642i | \(0.147024\pi\) | |||||||
\(542\) | 2.45934 | − | 32.8176i | 0.105638 | − | 1.40964i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 30.8568 | − | 45.2586i | 1.32297 | − | 1.94044i | ||||
\(545\) | 11.5974 | + | 5.58499i | 0.496776 | + | 0.239235i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.6664 | + | 9.47084i | −0.840875 | + | 0.404944i | −0.804182 | − | 0.594383i | \(-0.797396\pi\) |
−0.0366923 | + | 0.999327i | \(0.511682\pi\) | |||||||
\(548\) | 0.614877 | − | 4.07944i | 0.0262662 | − | 0.174265i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 33.0427 | − | 4.98039i | 1.40895 | − | 0.212364i | ||||
\(551\) | −0.162717 | + | 0.150979i | −0.00693198 | + | 0.00643194i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 29.9249 | − | 20.4739i | 1.27253 | − | 0.870638i | ||||
\(554\) | 46.6597 | + | 37.2099i | 1.98238 | + | 1.58090i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.84748 | + | 22.1990i | −0.290398 | + | 0.941446i | ||||
\(557\) | 16.2512 | + | 9.38264i | 0.688586 | + | 0.397555i | 0.803082 | − | 0.595868i | \(-0.203192\pi\) |
−0.114496 | + | 0.993424i | \(0.536525\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.42418 | + | 1.00979i | −0.187123 | + | 0.0427096i | ||||
\(560\) | 11.3944 | + | 5.46441i | 0.481501 | + | 0.230914i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.4692 | + | 3.84625i | −0.525984 | + | 0.162244i | ||||
\(563\) | 14.0988 | + | 35.9232i | 0.594194 | + | 1.51398i | 0.838845 | + | 0.544370i | \(0.183231\pi\) |
−0.244651 | + | 0.969611i | \(0.578674\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.292305 | − | 0.947631i | −0.0122974 | − | 0.0398671i | ||||
\(566\) | −5.32607 | + | 23.3350i | −0.223871 | + | 0.980844i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.512443 | + | 2.24516i | 0.0215016 | + | 0.0942048i | ||||
\(569\) | 5.55960 | − | 3.20984i | 0.233071 | − | 0.134563i | −0.378917 | − | 0.925431i | \(-0.623703\pi\) |
0.611988 | + | 0.790867i | \(0.290370\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.14518 | + | 1.89554i | 0.257168 | + | 0.0793258i | 0.420658 | − | 0.907219i | \(-0.361799\pi\) |
−0.163491 | + | 0.986545i | \(0.552275\pi\) | |||||||
\(572\) | 0.302425 | + | 4.03559i | 0.0126450 | + | 0.168736i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.45116 | + | 22.6467i | 0.144049 | + | 0.945256i | ||||
\(575\) | −23.6868 | + | 18.8896i | −0.987806 | + | 0.787749i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.23729 | − | 41.3817i | −0.259662 | − | 1.72274i | −0.615449 | − | 0.788177i | \(-0.711025\pi\) |
0.355787 | − | 0.934567i | \(-0.384213\pi\) | |||||||
\(578\) | 49.6023 | + | 72.7532i | 2.06318 | + | 3.02613i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.331602 | − | 0.688579i | −0.0137690 | − | 0.0285917i | ||||
\(581\) | −22.3461 | − | 15.1821i | −0.927073 | − | 0.629859i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.68585 | + | 5.24012i | 0.318315 | + | 0.217024i | ||||
\(584\) | −1.98710 | − | 1.84376i | −0.0822269 | − | 0.0762954i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.1782 | + | 8.70429i | 0.916172 | + | 0.359571i | ||||
\(587\) | 21.8194 | 0.900582 | 0.450291 | − | 0.892882i | \(-0.351320\pi\) | ||||
0.450291 | + | 0.892882i | \(0.351320\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.56787 | −0.147011 | ||||||||
\(590\) | 21.2439 | + | 8.33761i | 0.874597 | + | 0.343254i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 24.8827 | + | 23.0878i | 1.02267 | + | 0.948903i | ||||
\(593\) | 6.97370 | + | 4.75459i | 0.286375 | + | 0.195247i | 0.697984 | − | 0.716113i | \(-0.254081\pi\) |
−0.411609 | + | 0.911361i | \(0.635033\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −15.4411 | + | 14.3741i | −0.633024 | + | 0.589281i | ||||
\(596\) | −7.05729 | − | 14.6546i | −0.289078 | − | 0.600276i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.94896 | − | 7.25879i | −0.202378 | − | 0.296834i | ||||
\(599\) | 0.490638 | + | 3.25517i | 0.0200469 | + | 0.133003i | 0.996616 | − | 0.0822034i | \(-0.0261957\pi\) |
−0.976569 | + | 0.215206i | \(0.930958\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.11733 | + | 5.67588i | −0.290322 | + | 0.231524i | −0.757810 | − | 0.652475i | \(-0.773731\pi\) |
0.467488 | + | 0.883999i | \(0.345159\pi\) | |||||||
\(602\) | 24.0494 | − | 26.0038i | 0.980179 | − | 1.05984i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.769908 | + | 10.2737i | 0.0313271 | + | 0.418031i | ||||
\(605\) | −8.70286 | − | 2.68448i | −0.353822 | − | 0.109140i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.0241 | + | 12.1383i | −0.853343 | + | 0.492678i | −0.861777 | − | 0.507287i | \(-0.830649\pi\) |
0.00843430 | + | 0.999964i | \(0.497315\pi\) | |||||||
\(608\) | −0.627562 | − | 2.74953i | −0.0254510 | − | 0.111508i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.97473 | + | 8.65185i | −0.0799544 | + | 0.350303i | ||||
\(611\) | 1.17857 | + | 3.82083i | 0.0476799 | + | 0.154574i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.08264 | − | 15.4983i | −0.245675 | − | 0.625971i | 0.753841 | − | 0.657057i | \(-0.228199\pi\) |
−0.999517 | + | 0.0310857i | \(0.990104\pi\) | |||||||
\(614\) | −7.30947 | + | 2.25467i | −0.294986 | + | 0.0909911i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.78331 | + | 9.72743i | 0.313598 | + | 0.391929i | ||||
\(617\) | 12.8385 | − | 2.93030i | 0.516857 | − | 0.117969i | 0.0438676 | − | 0.999037i | \(-0.486032\pi\) |
0.472989 | + | 0.881068i | \(0.343175\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.8653 | + | 10.3145i | 0.718066 | + | 0.414575i | 0.814040 | − | 0.580808i | \(-0.197263\pi\) |
−0.0959747 | + | 0.995384i | \(0.530597\pi\) | |||||||
\(620\) | 3.62089 | − | 11.7386i | 0.145419 | − | 0.471435i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 33.5820 | + | 26.7807i | 1.34652 | + | 1.07381i | ||||
\(623\) | −1.19151 | + | 16.2546i | −0.0477368 | + | 0.651229i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.20215 | + | 7.61048i | −0.328086 | + | 0.304419i | ||||
\(626\) | −44.6887 | + | 6.73574i | −1.78612 | + | 0.269214i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.17688 | + | 21.0772i | −0.126771 | + | 0.841074i | ||||
\(629\) | −51.0544 | + | 24.5865i | −2.03567 | + | 0.980327i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.60985 | − | 4.62786i | −0.382562 | − | 0.184232i | 0.232712 | − | 0.972546i | \(-0.425240\pi\) |
−0.615274 | + | 0.788314i | \(0.710954\pi\) | |||||||
\(632\) | −8.09313 | + | 11.8704i | −0.321928 | + | 0.472181i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.66681 | − | 35.5861i | 0.105912 | − | 1.41330i | ||||
\(635\) | −5.45765 | + | 13.9059i | −0.216580 | + | 0.551838i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.98036 | + | 3.23312i | −0.118086 | + | 0.128101i | ||||
\(638\) | − | 4.46785i | − | 0.176884i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.97018 | − | 0.597283i | −0.315049 | − | 0.0236097i | ||||
\(641\) | 16.3629 | − | 17.6350i | 0.646295 | − | 0.696540i | −0.321890 | − | 0.946777i | \(-0.604318\pi\) |
0.968185 | + | 0.250237i | \(0.0805085\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.0765 | + | 29.2301i | −0.555122 | + | 1.15272i | 0.414937 | + | 0.909850i | \(0.363804\pi\) |
−0.970058 | + | 0.242872i | \(0.921911\pi\) | |||||||
\(644\) | 26.6758 | + | 10.4194i | 1.05117 | + | 0.410581i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.08681 | + | 0.917440i | 0.239482 | + | 0.0360962i | ||||
\(647\) | 5.94010 | − | 4.04989i | 0.233529 | − | 0.159218i | −0.440902 | − | 0.897555i | \(-0.645341\pi\) |
0.674431 | + | 0.738338i | \(0.264389\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 37.8983 | + | 40.8447i | 1.48764 | + | 1.60329i | ||||
\(650\) | −2.91383 | − | 3.65383i | −0.114290 | − | 0.143315i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.8885 | − | 13.6537i | 0.426425 | − | 0.534720i | ||||
\(653\) | 43.3656 | − | 3.24980i | 1.69703 | − | 0.127174i | 0.809254 | − | 0.587459i | \(-0.199872\pi\) |
0.887772 | + | 0.460284i | \(0.152253\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.4009 | + | 18.0149i | −0.406396 | + | 0.703899i | ||||
\(656\) | −11.2399 | − | 19.4680i | −0.438843 | − | 0.760099i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.4319 | − | 19.4188i | −0.952456 | − | 0.757024i | ||||
\(659\) | 2.19881 | + | 0.501864i | 0.0856535 | + | 0.0195498i | 0.265133 | − | 0.964212i | \(-0.414584\pi\) |
−0.179479 | + | 0.983762i | \(0.557441\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.9098 | − | 5.06672i | 0.502133 | − | 0.197073i | −0.100736 | − | 0.994913i | \(-0.532120\pi\) |
0.602868 | + | 0.797841i | \(0.294024\pi\) | |||||||
\(662\) | −14.3371 | + | 5.62688i | −0.557226 | + | 0.218695i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.4361 | + | 2.38198i | 0.405000 | + | 0.0924387i | ||||
\(665\) | 0.00176832 | + | 1.08615i | 6.85727e−5 | + | 0.0421192i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.02538 | + | 3.50807i | 0.0784232 | + | 0.135833i | ||||
\(668\) | −0.438655 | + | 0.759772i | −0.0169721 | + | 0.0293965i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6.43081 | − | 0.481922i | 0.248444 | − | 0.0186183i | ||||
\(671\) | −13.5090 | + | 16.9397i | −0.521509 | + | 0.653952i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.69254 | − | 5.88425i | −0.180884 | − | 0.226821i | 0.683120 | − | 0.730306i | \(-0.260622\pi\) |
−0.864004 | + | 0.503485i | \(0.832051\pi\) | |||||||
\(674\) | 35.5622 | + | 38.3269i | 1.36980 | + | 1.47630i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.9384 | + | 10.1848i | −0.574554 | + | 0.391724i | ||||
\(677\) | 42.8122 | + | 6.45290i | 1.64541 | + | 0.248005i | 0.905389 | − | 0.424584i | \(-0.139579\pi\) |
0.740017 | + | 0.672588i | \(0.234818\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 34.1872 | − | 2.61795i | 1.31198 | − | 0.100468i | ||||
\(680\) | 3.62682 | − | 7.53117i | 0.139082 | − | 0.288807i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 48.8459 | − | 52.6433i | 1.87041 | − | 2.01582i | ||||
\(683\) | 42.8746 | + | 3.21301i | 1.64055 | + | 0.122942i | 0.862771 | − | 0.505595i | \(-0.168727\pi\) |
0.777780 | + | 0.628537i | \(0.216346\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 2.85535i | − | 0.109097i | ||||||
\(686\) | 4.94954 | − | 33.9628i | 0.188974 | − | 1.29670i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.6983 | + | 32.3549i | −0.484120 | + | 1.23352i | ||||
\(689\) | 0.0972217 | − | 1.29733i | 0.00370385 | − | 0.0494245i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.8099 | − | 39.3229i | 1.01990 | − | 1.49591i | 0.158907 | − | 0.987294i | \(-0.449203\pi\) |
0.860991 | − | 0.508621i | \(-0.169845\pi\) | |||||||
\(692\) | 17.9039 | + | 8.62208i | 0.680605 | + | 0.327762i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.40439 | + | 2.12104i | −0.167188 | + | 0.0805137i | ||||
\(695\) | −2.39640 | + | 15.8991i | −0.0909007 | + | 0.603086i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 37.1085 | − | 5.59320i | 1.40558 | − | 0.211858i | ||||
\(698\) | −26.4268 | + | 24.5205i | −1.00027 | + | 0.928115i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 14.5649 | + | 4.46671i | 0.550500 | + | 0.168826i | ||||
\(701\) | −23.0987 | − | 18.4206i | −0.872425 | − | 0.695736i | 0.0812112 | − | 0.996697i | \(-0.474121\pi\) |
−0.953636 | + | 0.300961i | \(0.902693\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.859953 | + | 2.78790i | −0.0324338 | + | 0.105148i | ||||
\(704\) | 11.7296 | + | 6.77210i | 0.442076 | + | 0.255233i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 31.4402 | − | 7.17601i | 1.18327 | − | 0.270073i | ||||
\(707\) | −0.267051 | 0.000434776i | −0.0100435 | 1.63514e-5i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −44.0766 | + | 13.5958i | −1.65533 | + | 0.510602i | −0.974982 | − | 0.222285i | \(-0.928648\pi\) |
−0.680350 | + | 0.732887i | \(0.738172\pi\) | |||||||
\(710\) | −1.47644 | − | 3.76190i | −0.0554096 | − | 0.141181i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.90351 | − | 6.17102i | −0.0713369 | − | 0.231269i | ||||
\(713\) | −14.4883 | + | 63.4775i | −0.542592 | + | 2.37725i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.623268 | + | 2.73071i | 0.0233089 | + | 0.102123i | ||||
\(716\) | −6.21419 | + | 3.58776i | −0.232235 | + | 0.134081i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.7613 | − | 3.62787i | −0.438927 | − | 0.135391i | ||||
\(719\) | 2.85860 | + | 38.1454i | 0.106608 | + | 1.42258i | 0.752218 | + | 0.658914i | \(0.228984\pi\) |
−0.645610 | + | 0.763667i | \(0.723397\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.09687 | + | 0.630897i | 0.0408494 | + | 0.0234958i | ||||
\(722\) | −27.2810 | + | 21.7558i | −1.01529 | + | 0.809668i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.99801 | − | 26.5251i | −0.148585 | − | 0.985796i | ||||
\(725\) | 1.21386 | + | 1.78041i | 0.0450816 | + | 0.0661226i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.68945 | − | 5.58469i | −0.0997460 | − | 0.207125i | 0.845124 | − | 0.534570i | \(-0.179526\pi\) |
−0.944870 | + | 0.327446i | \(0.893812\pi\) | |||||||
\(728\) | 0.633904 | − | 1.62293i | 0.0234941 | − | 0.0601496i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.93036 | + | 2.67968i | 0.145469 | + | 0.0991792i | ||||
\(731\) | −42.5347 | − | 39.4664i | −1.57320 | − | 1.45972i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.3982 | + | 5.65086i | 0.531808 | + | 0.208719i | 0.616023 | − | 0.787728i | \(-0.288743\pi\) |
−0.0842147 | + | 0.996448i | \(0.526838\pi\) | |||||||
\(734\) | 41.1676 | 1.51952 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −51.4665 | −1.89708 | ||||||||
\(737\) | 14.6565 | + | 5.75225i | 0.539879 | + | 0.211887i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19.7284 | − | 18.3053i | −0.725720 | − | 0.673370i | 0.228138 | − | 0.973629i | \(-0.426736\pi\) |
−0.953858 | + | 0.300259i | \(0.902927\pi\) | |||||||
\(740\) | −8.29973 | − | 5.65866i | −0.305104 | − | 0.208017i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.09152 | + | 8.78570i | 0.186916 | + | 0.322533i | ||||
\(743\) | 2.69592 | + | 5.59814i | 0.0989037 | + | 0.205376i | 0.944550 | − | 0.328369i | \(-0.106499\pi\) |
−0.845646 | + | 0.533744i | \(0.820784\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.34162 | − | 9.30145i | −0.232339 | − | 0.340779i | ||||
\(746\) | 1.19293 | + | 7.91457i | 0.0436762 | + | 0.289773i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −40.4561 | + | 32.2627i | −1.47922 | + | 1.17964i | ||||
\(749\) | 0.641441 | + | 0.0470193i | 0.0234377 | + | 0.00171805i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.320811 | + | 4.28092i | 0.0117065 | + | 0.156213i | 0.999993 | + | 0.00360597i | \(0.00114782\pi\) |
−0.988287 | + | 0.152607i | \(0.951233\pi\) | |||||||
\(752\) | 29.2649 | + | 9.02701i | 1.06718 | + | 0.329181i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.541141 | + | 0.312428i | −0.0197072 | + | 0.0113780i | ||||
\(755\) | 1.58670 | + | 6.95179i | 0.0577459 | + | 0.253001i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.16549 | + | 13.8689i | −0.115052 | + | 0.504074i | 0.884261 | + | 0.466994i | \(0.154663\pi\) |
−0.999312 | + | 0.0370804i | \(0.988194\pi\) | |||||||
\(758\) | −15.7229 | − | 50.9724i | −0.571082 | − | 1.85140i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.157232 | − | 0.400621i | −0.00570341 | − | 0.0145321i | ||||
\(761\) | −21.2922 | + | 6.56776i | −0.771840 | + | 0.238081i | −0.655568 | − | 0.755136i | \(-0.727571\pi\) |
−0.116272 | + | 0.993217i | \(0.537095\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.68834 | + | 33.4338i | 0.278337 | + | 1.21039i | ||||
\(764\) | −14.1697 | + | 3.23414i | −0.512642 | + | 0.117007i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −44.6758 | − | 25.7936i | −1.61420 | − | 0.931960i | ||||
\(767\) | 2.29691 | − | 7.44639i | 0.0829366 | − | 0.268874i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.8299 | + | 12.6239i | 0.570841 | + | 0.455230i | 0.865878 | − | 0.500255i | \(-0.166761\pi\) |
−0.295037 | + | 0.955486i | \(0.595332\pi\) | |||||||
\(770\) | −16.0502 | − | 14.8439i | −0.578410 | − | 0.534936i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.79304 | + | 9.08662i | −0.352459 | + | 0.327034i | ||||
\(773\) | 34.2387 | − | 5.16066i | 1.23148 | − | 0.185616i | 0.499120 | − | 0.866533i | \(-0.333657\pi\) |
0.732361 | + | 0.680917i | \(0.238418\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.16218 | + | 34.2488i | −0.185431 | + | 1.23025i | ||||
\(776\) | −12.2404 | + | 5.89465i | −0.439404 | + | 0.211606i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −42.2017 | − | 20.3233i | −1.51300 | − | 0.728624i | ||||
\(779\) | 1.08842 | − | 1.59642i | 0.0389967 | − | 0.0571976i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.737342 | − | 9.83915i | 0.0263842 | − | 0.352072i | ||||
\(782\) | 41.0398 | − | 104.568i | 1.46758 | − | 3.73933i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.60130 | + | 32.8107i | 0.271475 | + | 1.17181i | ||||
\(785\) | 14.7527i | 0.526548i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.7770 | + | 1.55702i | 0.740621 | + | 0.0555019i | 0.439697 | − | 0.898146i | \(-0.355086\pi\) |
0.300924 | + | 0.953648i | \(0.402705\pi\) | |||||||
\(788\) | 8.51832 | − | 9.18057i | 0.303453 | − | 0.327044i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.9390 | − | 22.7150i | 0.389191 | − | 0.808163i | ||||
\(791\) | 1.48531 | − | 2.18619i | 0.0528117 | − | 0.0777321i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.99638 | + | 0.451632i | 0.106405 | + | 0.0160379i | ||||
\(794\) | −7.40080 | + | 5.04578i | −0.262644 | + | 0.179068i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.7647 | − | 11.6016i | −0.381544 | − | 0.411207i | ||||
\(797\) | 2.48670 | + | 3.11822i | 0.0880834 | + | 0.110453i | 0.823920 | − | 0.566706i | \(-0.191782\pi\) |
−0.735837 | + | 0.677159i | \(0.763211\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −31.8766 | + | 39.9719i | −1.12771 | + | 1.41411i | ||||
\(800\) | −27.3014 | + | 2.04595i | −0.965249 | + | 0.0723354i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.74322 | + | 6.48344i | −0.132178 | + | 0.228938i | ||||
\(803\) | 5.80704 | + | 10.0581i | 0.204926 | + | 0.354942i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 19.3314 | + | 4.37916i | 0.681342 | + | 0.154345i | ||||
\(806\) | −9.79180 | − | 2.23491i | −0.344902 | − | 0.0787215i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.0985003 | − | 0.0386585i | 0.00346523 | − | 0.00136000i | ||||
\(809\) | 7.80390 | − | 3.06281i | 0.274371 | − | 0.107683i | −0.224167 | − | 0.974551i | \(-0.571966\pi\) |
0.498537 | + | 0.866868i | \(0.333871\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.6949 | − | 2.89753i | −0.445779 | − | 0.101746i | −0.00626183 | − | 0.999980i | \(-0.501993\pi\) |
−0.439517 | + | 0.898234i | \(0.644850\pi\) | |||||||
\(812\) | 0.880790 | − | 1.83662i | 0.0309097 | − | 0.0644528i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −29.3618 | − | 50.8562i | −1.02913 | − | 1.78251i | ||||
\(815\) | 6.04349 | − | 10.4676i | 0.211694 | − | 0.366665i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.97908 | + | 0.223251i | −0.104225 | + | 0.00781058i | ||||
\(818\) | 9.78053 | − | 12.2644i | 0.341968 | − | 0.428814i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.14778 | + | 5.20115i | 0.144847 | + | 0.181632i | ||||
\(821\) | −1.00421 | − | 1.08228i | −0.0350473 | − | 0.0377720i | 0.715285 | − | 0.698833i | \(-0.246297\pi\) |
−0.750332 | + | 0.661061i | \(0.770106\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.68392 | − | 4.55702i | 0.232987 | − | 0.158848i | −0.441200 | − | 0.897409i | \(-0.645447\pi\) |
0.674186 | + | 0.738561i | \(0.264495\pi\) | |||||||
\(824\) | −0.495780 | − | 0.0747269i | −0.0172713 | − | 0.00260323i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 18.0226 | + | 58.0918i | 0.627085 | + | 2.02127i | ||||
\(827\) | 4.18745 | − | 8.69534i | 0.145612 | − | 0.302367i | −0.815388 | − | 0.578915i | \(-0.803476\pi\) |
0.961000 | + | 0.276548i | \(0.0891906\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −23.6459 | + | 25.4843i | −0.821257 | + | 0.885105i | −0.995019 | − | 0.0996828i | \(-0.968217\pi\) |
0.173762 | + | 0.984788i | \(0.444408\pi\) | |||||||
\(830\) | −18.7324 | − | 1.40380i | −0.650209 | − | 0.0487265i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 1.89424i | − | 0.0656709i | ||||||
\(833\) | −55.6237 | − | 8.19878i | −1.92725 | − | 0.284071i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.221836 | + | 0.565229i | −0.00767695 | + | 0.0195606i | ||||
\(836\) | −0.199093 | + | 2.65672i | −0.00688579 | + | 0.0918844i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 30.1169 | − | 44.1734i | 1.04037 | − | 1.52594i | ||||
\(839\) | −17.9886 | − | 8.66283i | −0.621034 | − | 0.299074i | 0.0967837 | − | 0.995305i | \(-0.469144\pi\) |
−0.717817 | + | 0.696231i | \(0.754859\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.8685 | + | 12.4576i | −0.892018 | + | 0.429573i | ||||
\(842\) | 8.84017 | − | 58.6507i | 0.304652 | − | 2.02124i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.60809 | − | 0.543832i | 0.124196 | − | 0.0187195i | ||||
\(845\) | −9.17305 | + | 8.51135i | −0.315563 | + | 0.292799i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.90472 | − | 22.5807i | −0.305970 | − | 0.775882i | ||||
\(848\) | −7.79057 | − | 6.21277i | −0.267529 | − | 0.213347i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 17.6134 | − | 57.1014i | 0.604136 | − | 1.95856i | ||||
\(851\) | 46.1087 | + | 26.6209i | 1.58059 | + | 0.912551i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.1711 | − | 2.77797i | 0.416730 | − | 0.0951160i | −0.00901424 | − | 0.999959i | \(-0.502869\pi\) |
0.425745 | + | 0.904843i | \(0.360012\pi\) | |||||||
\(854\) | −21.2927 | + | 10.2968i | −0.728622 | + | 0.352348i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.243521 | + | 0.0751162i | −0.00832337 | + | 0.00256742i | ||||
\(857\) | 10.6036 | + | 27.0176i | 0.362213 | + | 0.922905i | 0.989554 | + | 0.144160i | \(0.0460481\pi\) |
−0.627341 | + | 0.778745i | \(0.715857\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.2901 | − | 43.0854i | −0.453452 | − | 1.47005i | −0.837344 | − | 0.546676i | \(-0.815893\pi\) |
0.383892 | − | 0.923378i | \(-0.374583\pi\) | |||||||
\(860\) | 2.28884 | − | 10.0280i | 0.0780487 | − | 0.341954i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.8473 | + | 47.5250i | 0.369460 | + | 1.61871i | ||||
\(863\) | 31.4136 | − | 18.1366i | 1.06933 | − | 0.617378i | 0.141332 | − | 0.989962i | \(-0.454862\pi\) |
0.927998 | + | 0.372584i | \(0.121528\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.1427 | + | 4.05397i | 0.446864 | + | 0.137839i | ||||
\(866\) | 2.18379 | + | 29.1406i | 0.0742080 | + | 0.990238i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 30.4574 | − | 12.0109i | 1.03379 | − | 0.407677i | ||||
\(869\) | 48.1253 | − | 38.3787i | 1.63254 | − | 1.30191i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.328194 | − | 2.17742i | −0.0111204 | − | 0.0737791i | ||||
\(872\) | −7.65743 | − | 11.2314i | −0.259313 | − | 0.380343i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.50940 | − | 5.21083i | −0.0848818 | − | 0.176259i | ||||
\(875\) | 23.4176 | + | 3.49066i | 0.791660 | + | 0.118006i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −37.7445 | − | 25.7338i | −1.27454 | − | 0.868968i | −0.278728 | − | 0.960370i | \(-0.589913\pi\) |
−0.995814 | + | 0.0914022i | \(0.970865\pi\) | |||||||
\(878\) | −15.8057 | − | 14.6655i | −0.533416 | − | 0.494938i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 19.9702 | + | 7.83773i | 0.673196 | + | 0.264210i | ||||
\(881\) | −23.9043 | −0.805355 | −0.402677 | − | 0.915342i | \(-0.631920\pi\) | ||||
−0.402677 | + | 0.915342i | \(0.631920\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 41.9735 | 1.41252 | 0.706261 | − | 0.707952i | \(-0.250381\pi\) | ||||
0.706261 | + | 0.707952i | \(0.250381\pi\) | |||||||
\(884\) | 6.73663 | + | 2.64393i | 0.226577 | + | 0.0889251i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.07835 | − | 1.92843i | −0.0698235 | − | 0.0647867i | ||||
\(887\) | −24.2880 | − | 16.5592i | −0.815510 | − | 0.556005i | 0.0821881 | − | 0.996617i | \(-0.473809\pi\) |
−0.897698 | + | 0.440612i | \(0.854762\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −38.0258 | + | 11.7972i | −1.27535 | + | 0.395667i | ||||
\(890\) | 4.91709 | + | 10.2104i | 0.164821 | + | 0.342254i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.6878 | − | 24.4765i | −0.558749 | − | 0.819534i | ||||
\(893\) | 0.392321 | + | 2.60288i | 0.0131285 | + | 0.0871021i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.88283 | + | 3.09645i | −0.129789 | + | 0.103503i | ||||
\(896\) | −12.0282 | − | 17.5806i | −0.401834 | − | 0.587326i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.71216 | − | 36.1912i | −0.0905059 | − | 1.20772i | ||||
\(899\) | 4.42519 | + | 1.36499i | 0.147589 | + | 0.0455250i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.4061 | − | 8.31736i | 0.479936 | − | 0.277091i | ||||
\(902\) | 8.65390 | + | 37.9152i | 0.288143 | + | 1.26244i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.233037 | + | 1.02100i | −0.00775069 | + | 0.0339580i | ||||
\(905\) | −5.47238 | − | 17.7410i | −0.181908 | − | 0.589732i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.77804 | + | 24.9140i | 0.324675 | + | 0.827257i | 0.996266 | + | 0.0863356i | \(0.0275157\pi\) |
−0.671592 | + | 0.740922i | \(0.734389\pi\) | |||||||
\(908\) | 7.01507 | − | 2.16386i | 0.232803 | − | 0.0718103i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.675513 | + | 2.98199i | −0.0223930 | + | 0.0988519i | ||||
\(911\) | −43.4725 | + | 9.92232i | −1.44031 | + | 0.328741i | −0.870147 | − | 0.492792i | \(-0.835977\pi\) |
−0.570161 | + | 0.821533i | \(0.693119\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −39.7188 | − | 22.9317i | −1.31450 | − | 0.758928i | ||||
\(914\) | 17.7405 | − | 57.5133i | 0.586803 | − | 1.90237i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −19.2829 | − | 15.3776i | −0.637126 | − | 0.508091i | ||||
\(917\) | −54.8077 | + | 8.35221i | −1.80991 | + | 0.275814i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.19981 | − | 2.04113i | 0.0725652 | − | 0.0673306i | −0.643057 | − | 0.765819i | \(-0.722334\pi\) |
0.715622 | + | 0.698488i | \(0.246143\pi\) | |||||||
\(920\) | −7.76612 | + | 1.17055i | −0.256041 | + | 0.0385920i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.68965 | + | 24.4792i | −0.121512 | + | 0.806181i | ||||
\(923\) | −1.24327 | + | 0.598726i | −0.0409227 | + | 0.0197073i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 25.5175 | + | 12.2886i | 0.839010 | + | 0.404046i | ||||
\(926\) | 13.4222 | − | 19.6868i | 0.441082 | − | 0.646949i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.273553 | + | 3.65031i | −0.00897981 | + | 0.119827i | ||||
\(929\) | 0.149790 | − | 0.381659i | 0.00491446 | − | 0.0125218i | −0.928395 | − | 0.371594i | \(-0.878811\pi\) |
0.933310 | + | 0.359072i | \(0.116907\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.25735 | + | 1.81223i | −0.0739817 | + | 0.0593936i | ||||
\(932\) | − | 4.48069i | − | 0.146770i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 8.09189 | + | 0.606403i | 0.264775 | + | 0.0198421i | ||||
\(935\) | −24.3596 | + | 26.2534i | −0.796645 | + | 0.858579i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.13163 | − | 18.9620i | 0.298317 | − | 0.619462i | −0.696898 | − | 0.717170i | \(-0.745437\pi\) |
0.995215 | + | 0.0977083i | \(0.0311512\pi\) | |||||||
\(938\) | 11.7108 | + | 12.5801i | 0.382372 | + | 0.410756i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8.96189 | − | 1.35079i | −0.292305 | − | 0.0440578i | ||||
\(941\) | −36.2793 | + | 24.7348i | −1.18267 | + | 0.806332i | −0.984765 | − | 0.173889i | \(-0.944367\pi\) |
−0.197906 | + | 0.980221i | \(0.563414\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −23.9828 | − | 25.8473i | −0.780986 | − | 0.841703i | ||||
\(944\) | −37.2134 | − | 46.6642i | −1.21119 | − | 1.51879i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 37.4911 | − | 47.0123i | 1.21894 | − | 1.52850i | ||||
\(947\) | 6.23216 | − | 0.467036i | 0.202518 | − | 0.0151766i | 0.0269152 | − | 0.999638i | \(-0.491432\pi\) |
0.175603 | + | 0.984461i | \(0.443813\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.812149 | − | 1.40668i | 0.0263635 | − | 0.0456629i | ||||
\(950\) | −1.53831 | − | 2.66443i | −0.0499093 | − | 0.0864454i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 21.7115 | − | 4.99271i | 0.703673 | − | 0.161815i | ||||
\(953\) | −52.5111 | − | 11.9853i | −1.70100 | − | 0.388243i | −0.741724 | − | 0.670706i | \(-0.765991\pi\) |
−0.959278 | + | 0.282463i | \(0.908849\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.36397 | + | 3.67509i | −0.303011 | + | 0.118923i | ||||
\(956\) | −31.4138 | + | 12.3290i | −1.01600 | + | 0.398749i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −38.2808 | − | 8.73735i | −1.23680 | − | 0.282291i | ||||
\(959\) | 5.94202 | − | 4.75445i | 0.191878 | − | 0.153529i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.7176 | + | 37.6161i | 0.700569 | + | 1.21342i | ||||
\(962\) | −4.10643 | + | 7.11255i | −0.132397 | + | 0.229318i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.33490 | − | 0.474735i | 0.204033 | − | 0.0152902i | ||||
\(965\) | −5.76492 | + | 7.22898i | −0.185579 | + | 0.232709i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.1564 | − | 25.2754i | −0.648187 | − | 0.812801i | 0.343813 | − | 0.939038i | \(-0.388281\pi\) |
−0.992000 | + | 0.126237i | \(0.959710\pi\) | |||||||
\(968\) | 6.54178 | + | 7.05036i | 0.210261 | + | 0.226607i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 19.6984 | − | 13.4302i | 0.632479 | − | 0.431217i | ||||
\(971\) | 33.4042 | + | 5.03488i | 1.07199 | + | 0.161577i | 0.661244 | − | 0.750171i | \(-0.270029\pi\) |
0.410750 | + | 0.911748i | \(0.365267\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −37.0764 | + | 21.4866i | −1.18862 | + | 0.688830i | ||||
\(974\) | 7.86321 | − | 16.3281i | 0.251953 | − | 0.523187i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 15.7864 | − | 17.0137i | 0.505310 | − | 0.544595i | ||||
\(977\) | 12.6219 | + | 0.945882i | 0.403811 | + | 0.0302615i | 0.275088 | − | 0.961419i | \(-0.411293\pi\) |
0.128723 | + | 0.991681i | \(0.458912\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 27.6689i | 0.884302i | ||||||||
\(980\) | −3.67153 | − | 9.26607i | −0.117283 | − | 0.295994i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −16.0862 | + | 40.9869i | −0.513330 | + | 1.30794i | ||||
\(983\) | 2.51842 | − | 33.6060i | 0.0803252 | − | 1.07186i | −0.800784 | − | 0.598953i | \(-0.795584\pi\) |
0.881110 | − | 0.472912i | \(-0.156797\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.88282 | − | 7.16178i | 0.155580 | − | 0.228193i | ||||
\(986\) | −7.19842 | − | 3.46658i | −0.229245 | − | 0.110398i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.335701 | − | 0.161665i | 0.0106801 | − | 0.00514325i | ||||
\(989\) | −8.12544 | + | 53.9088i | −0.258374 | + | 1.71420i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −53.5331 | + | 8.06882i | −1.70053 | + | 0.256314i | −0.926355 | − | 0.376652i | \(-0.877075\pi\) |
−0.774180 | + | 0.632966i | \(0.781837\pi\) | |||||||
\(992\) | −43.1311 | + | 40.0198i | −1.36941 | + | 1.27063i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.37014 | − | 9.33642i | 0.170330 | − | 0.296133i | ||||
\(995\) | −8.56399 | − | 6.82956i | −0.271497 | − | 0.216511i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.61763 | − | 14.9700i | 0.146242 | − | 0.474104i | −0.852582 | − | 0.522594i | \(-0.824964\pi\) |
0.998824 | + | 0.0484893i | \(0.0154407\pi\) | |||||||
\(998\) | 34.5901 | + | 19.9706i | 1.09493 | + | 0.632158i | ||||
\(999\) | 0 | 0 |
(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 | 441.2.bg.a.395.15 | yes | 216 | |
3.2 | odd | 2 | inner | 441.2.bg.a.395.4 | yes | 216 | |
49.33 | odd | 42 | inner | 441.2.bg.a.278.4 | ✓ | 216 | |
147.131 | even | 42 | inner | 441.2.bg.a.278.15 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bg.a.278.4 | ✓ | 216 | 49.33 | odd | 42 | inner | |
441.2.bg.a.278.15 | yes | 216 | 147.131 | even | 42 | inner | |
441.2.bg.a.395.4 | yes | 216 | 3.2 | odd | 2 | inner | |
441.2.bg.a.395.15 | yes | 216 | 1.1 | even | 1 | trivial |