Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
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([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.22 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.22 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.279217 | + | 0.711434i | −0.197436 | + | 0.503060i | −0.994965 | − | 0.100221i | \(-0.968045\pi\) |
0.797529 | + | 0.603281i | \(0.206140\pi\) | |||||||
\(3\) | 1.71713 | − | 0.226824i | 0.991388 | − | 0.130957i | ||||
\(4\) | 1.03793 | + | 0.963057i | 0.518964 | + | 0.481528i | ||||
\(5\) | 2.80587 | − | 1.35123i | 1.25482 | − | 0.604290i | 0.316021 | − | 0.948752i | \(-0.397653\pi\) |
0.938800 | + | 0.344462i | \(0.111939\pi\) | |||||||
\(6\) | −0.318083 | + | 1.28496i | −0.129857 | + | 0.524583i | ||||
\(7\) | −2.58292 | − | 0.573190i | −0.976250 | − | 0.216645i | ||||
\(8\) | −2.35211 | + | 1.13272i | −0.831598 | + | 0.400477i | ||||
\(9\) | 2.89710 | − | 0.778973i | 0.965701 | − | 0.259658i | ||||
\(10\) | 0.177867 | + | 2.37347i | 0.0562466 | + | 0.750559i | ||||
\(11\) | 1.31948 | + | 1.65458i | 0.397838 | + | 0.498873i | 0.939893 | − | 0.341470i | \(-0.110925\pi\) |
−0.542055 | + | 0.840343i | \(0.682353\pi\) | |||||||
\(12\) | 2.00071 | + | 1.41827i | 0.577554 | + | 0.409420i | ||||
\(13\) | 1.04304 | − | 2.65762i | 0.289287 | − | 0.737092i | −0.710166 | − | 0.704034i | \(-0.751380\pi\) |
0.999453 | − | 0.0330578i | \(-0.0105245\pi\) | |||||||
\(14\) | 1.12898 | − | 1.67753i | 0.301733 | − | 0.448338i | ||||
\(15\) | 4.51156 | − | 2.95669i | 1.16488 | − | 0.763413i | ||||
\(16\) | 0.0625172 | + | 0.834234i | 0.0156293 | + | 0.208558i | ||||
\(17\) | −3.99441 | + | 3.70627i | −0.968786 | + | 0.898902i | −0.994911 | − | 0.100757i | \(-0.967874\pi\) |
0.0261251 | + | 0.999659i | \(0.491683\pi\) | |||||||
\(18\) | −0.254733 | + | 2.27860i | −0.0600411 | + | 0.537071i | ||||
\(19\) | 0.128048 | − | 0.221786i | 0.0293763 | − | 0.0508812i | −0.850964 | − | 0.525225i | \(-0.823981\pi\) |
0.880340 | + | 0.474344i | \(0.157315\pi\) | |||||||
\(20\) | 4.21360 | + | 1.29972i | 0.942190 | + | 0.290627i | ||||
\(21\) | −4.56523 | − | 0.398378i | −0.996214 | − | 0.0869331i | ||||
\(22\) | −1.54554 | + | 0.476736i | −0.329511 | + | 0.101641i | ||||
\(23\) | 0.402808 | − | 1.76482i | 0.0839913 | − | 0.367990i | −0.915412 | − | 0.402517i | \(-0.868135\pi\) |
0.999404 | + | 0.0345272i | \(0.0109925\pi\) | |||||||
\(24\) | −3.78197 | + | 2.47855i | −0.771991 | + | 0.505931i | ||||
\(25\) | 2.92960 | − | 3.67360i | 0.585920 | − | 0.734720i | ||||
\(26\) | 1.59949 | + | 1.48411i | 0.313685 | + | 0.291057i | ||||
\(27\) | 4.79802 | − | 1.99473i | 0.923380 | − | 0.383886i | ||||
\(28\) | −2.12887 | − | 3.08242i | −0.402318 | − | 0.582523i | ||||
\(29\) | −9.28787 | − | 2.86493i | −1.72471 | − | 0.532004i | −0.735378 | − | 0.677657i | \(-0.762995\pi\) |
−0.989336 | + | 0.145654i | \(0.953471\pi\) | |||||||
\(30\) | 0.843782 | + | 4.03523i | 0.154053 | + | 0.736729i | ||||
\(31\) | 3.84528 | − | 6.66023i | 0.690633 | − | 1.19621i | −0.280997 | − | 0.959709i | \(-0.590665\pi\) |
0.971631 | − | 0.236504i | \(-0.0760015\pi\) | |||||||
\(32\) | −5.60029 | − | 1.72746i | −0.990001 | − | 0.305375i | ||||
\(33\) | 2.64102 | + | 2.54184i | 0.459743 | + | 0.442477i | ||||
\(34\) | −1.52146 | − | 3.87661i | −0.260928 | − | 0.664833i | ||||
\(35\) | −8.02183 | + | 1.88183i | −1.35594 | + | 0.318087i | ||||
\(36\) | 3.75718 | + | 1.98156i | 0.626197 | + | 0.330259i | ||||
\(37\) | 1.65126 | + | 0.509346i | 0.271466 | + | 0.0837360i | 0.427499 | − | 0.904016i | \(-0.359395\pi\) |
−0.156034 | + | 0.987752i | \(0.549871\pi\) | |||||||
\(38\) | 0.122033 | + | 0.153024i | 0.0197963 | + | 0.0248238i | ||||
\(39\) | 1.18823 | − | 4.80008i | 0.190269 | − | 0.768628i | ||||
\(40\) | −5.06915 | + | 6.35651i | −0.801503 | + | 1.00505i | ||||
\(41\) | 5.65735 | + | 3.85712i | 0.883530 | + | 0.602380i | 0.917805 | − | 0.397032i | \(-0.129960\pi\) |
−0.0342751 | + | 0.999412i | \(0.510912\pi\) | |||||||
\(42\) | 1.55811 | − | 3.13662i | 0.240421 | − | 0.483991i | ||||
\(43\) | −8.60068 | + | 5.86385i | −1.31159 | + | 0.894228i | −0.998460 | − | 0.0554815i | \(-0.982331\pi\) |
−0.313132 | + | 0.949710i | \(0.601378\pi\) | |||||||
\(44\) | −0.223924 | + | 2.98806i | −0.0337579 | + | 0.450468i | ||||
\(45\) | 7.07630 | − | 6.10036i | 1.05487 | − | 0.909387i | ||||
\(46\) | 1.14308 | + | 0.779338i | 0.168538 | + | 0.114907i | ||||
\(47\) | −2.86688 | + | 7.30469i | −0.418178 | + | 1.06550i | 0.554262 | + | 0.832343i | \(0.313001\pi\) |
−0.972439 | + | 0.233157i | \(0.925095\pi\) | |||||||
\(48\) | 0.296574 | + | 1.41831i | 0.0428068 | + | 0.204716i | ||||
\(49\) | 6.34291 | + | 2.96100i | 0.906130 | + | 0.423000i | ||||
\(50\) | 1.79553 | + | 3.10995i | 0.253926 | + | 0.439813i | ||||
\(51\) | −6.01827 | + | 7.27019i | −0.842726 | + | 1.01803i | ||||
\(52\) | 3.64204 | − | 1.75391i | 0.505060 | − | 0.243224i | ||||
\(53\) | −2.28148 | + | 0.703745i | −0.313386 | + | 0.0966667i | −0.447458 | − | 0.894305i | \(-0.647671\pi\) |
0.134072 | + | 0.990972i | \(0.457195\pi\) | |||||||
\(54\) | 0.0794291 | + | 3.97044i | 0.0108089 | + | 0.540308i | ||||
\(55\) | 5.93800 | + | 2.85959i | 0.800680 | + | 0.385587i | ||||
\(56\) | 6.72458 | − | 1.57751i | 0.898609 | − | 0.210804i | ||||
\(57\) | 0.169570 | − | 0.409881i | 0.0224601 | − | 0.0542900i | ||||
\(58\) | 4.63154 | − | 5.80776i | 0.608151 | − | 0.762597i | ||||
\(59\) | −10.4594 | + | 7.13109i | −1.36170 | + | 0.928388i | −0.999992 | − | 0.00390502i | \(-0.998757\pi\) |
−0.361703 | + | 0.932293i | \(0.617805\pi\) | |||||||
\(60\) | 7.53013 | + | 1.27606i | 0.972135 | + | 0.164738i | ||||
\(61\) | 10.7798 | − | 10.0022i | 1.38022 | − | 1.28065i | 0.460724 | − | 0.887543i | \(-0.347590\pi\) |
0.919491 | − | 0.393110i | \(-0.128601\pi\) | |||||||
\(62\) | 3.66464 | + | 4.59531i | 0.465410 | + | 0.583605i | ||||
\(63\) | −7.92947 | + | 0.351433i | −0.999019 | + | 0.0442764i | ||||
\(64\) | 1.74948 | − | 2.19378i | 0.218685 | − | 0.274223i | ||||
\(65\) | −0.664439 | − | 8.86632i | −0.0824135 | − | 1.09973i | ||||
\(66\) | −2.54577 | + | 1.16919i | −0.313362 | + | 0.143917i | ||||
\(67\) | 1.42219 | − | 2.46330i | 0.173748 | − | 0.300940i | −0.765979 | − | 0.642865i | \(-0.777746\pi\) |
0.939727 | + | 0.341925i | \(0.111079\pi\) | |||||||
\(68\) | −7.71525 | −0.935612 | ||||||||
\(69\) | 0.291374 | − | 3.12180i | 0.0350773 | − | 0.375820i | ||||
\(70\) | 0.901035 | − | 6.23244i | 0.107694 | − | 0.744919i | ||||
\(71\) | −0.403388 | + | 1.76736i | −0.0478733 | + | 0.209747i | −0.993208 | − | 0.116356i | \(-0.962879\pi\) |
0.945334 | + | 0.326103i | \(0.105736\pi\) | |||||||
\(72\) | −5.93196 | + | 5.11384i | −0.699088 | + | 0.602671i | ||||
\(73\) | −3.54969 | − | 0.535030i | −0.415460 | − | 0.0626205i | −0.0620135 | − | 0.998075i | \(-0.519752\pi\) |
−0.353446 | + | 0.935455i | \(0.614990\pi\) | |||||||
\(74\) | −0.823426 | + | 1.03254i | −0.0957214 | + | 0.120031i | ||||
\(75\) | 4.19726 | − | 6.97257i | 0.484658 | − | 0.805123i | ||||
\(76\) | 0.346497 | − | 0.106880i | 0.0397460 | − | 0.0122600i | ||||
\(77\) | −2.45972 | − | 5.02994i | −0.280311 | − | 0.573215i | ||||
\(78\) | 3.08317 | + | 2.18561i | 0.349100 | + | 0.247472i | ||||
\(79\) | −3.41927 | − | 5.92235i | −0.384698 | − | 0.666317i | 0.607029 | − | 0.794680i | \(-0.292361\pi\) |
−0.991727 | + | 0.128363i | \(0.959028\pi\) | |||||||
\(80\) | 1.30266 | + | 2.25627i | 0.145642 | + | 0.252259i | ||||
\(81\) | 7.78640 | − | 4.51353i | 0.865156 | − | 0.501503i | ||||
\(82\) | −4.32371 | + | 2.94786i | −0.477474 | + | 0.325536i | ||||
\(83\) | 2.58380 | + | 6.58343i | 0.283609 | + | 0.722625i | 0.999697 | + | 0.0246146i | \(0.00783586\pi\) |
−0.716088 | + | 0.698010i | \(0.754069\pi\) | |||||||
\(84\) | −4.35472 | − | 4.81006i | −0.475139 | − | 0.524820i | ||||
\(85\) | −6.19973 | + | 15.7967i | −0.672456 | + | 1.71339i | ||||
\(86\) | −1.77028 | − | 7.75610i | −0.190894 | − | 0.836362i | ||||
\(87\) | −16.5983 | − | 2.81276i | −1.77953 | − | 0.301559i | ||||
\(88\) | −4.97774 | − | 2.39715i | −0.530628 | − | 0.255537i | ||||
\(89\) | −4.71782 | − | 12.0208i | −0.500088 | − | 1.27420i | −0.928740 | − | 0.370733i | \(-0.879107\pi\) |
0.428652 | − | 0.903470i | \(-0.358989\pi\) | |||||||
\(90\) | 2.36417 | + | 6.73764i | 0.249206 | + | 0.710210i | ||||
\(91\) | −4.21741 | + | 6.26655i | −0.442104 | + | 0.656913i | ||||
\(92\) | 2.11770 | − | 1.44383i | 0.220786 | − | 0.150529i | ||||
\(93\) | 5.09217 | − | 12.3087i | 0.528034 | − | 1.27635i | ||||
\(94\) | −4.39632 | − | 4.07919i | −0.453446 | − | 0.420736i | ||||
\(95\) | 0.0596013 | − | 0.795324i | 0.00611497 | − | 0.0815986i | ||||
\(96\) | −10.0083 | − | 1.69601i | −1.02147 | − | 0.173098i | ||||
\(97\) | −0.395512 | + | 0.685048i | −0.0401582 | + | 0.0695561i | −0.885406 | − | 0.464819i | \(-0.846120\pi\) |
0.845248 | + | 0.534375i | \(0.179453\pi\) | |||||||
\(98\) | −3.87760 | + | 3.68580i | −0.391697 | + | 0.372322i | ||||
\(99\) | 5.11154 | + | 3.76563i | 0.513729 | + | 0.378460i | ||||
\(100\) | 6.57860 | − | 0.991564i | 0.657860 | − | 0.0991564i | ||||
\(101\) | 4.34497 | − | 2.09243i | 0.432341 | − | 0.208204i | −0.205040 | − | 0.978754i | \(-0.565732\pi\) |
0.637380 | + | 0.770549i | \(0.280018\pi\) | |||||||
\(102\) | −3.49185 | − | 6.31156i | −0.345745 | − | 0.624937i | ||||
\(103\) | −17.6494 | + | 8.49948i | −1.73904 | + | 0.837479i | −0.755888 | + | 0.654701i | \(0.772795\pi\) |
−0.983154 | + | 0.182778i | \(0.941491\pi\) | |||||||
\(104\) | 0.556989 | + | 7.43250i | 0.0546173 | + | 0.728817i | ||||
\(105\) | −13.3477 | + | 5.05089i | −1.30260 | + | 0.492917i | ||||
\(106\) | 0.136362 | − | 1.81962i | 0.0132446 | − | 0.176737i | ||||
\(107\) | −3.97305 | − | 10.1232i | −0.384089 | − | 0.978644i | −0.983935 | − | 0.178528i | \(-0.942867\pi\) |
0.599846 | − | 0.800116i | \(-0.295229\pi\) | |||||||
\(108\) | 6.90105 | + | 2.55038i | 0.664053 | + | 0.245410i | ||||
\(109\) | 5.17961 | − | 13.1974i | 0.496117 | − | 1.26409i | −0.435351 | − | 0.900261i | \(-0.643376\pi\) |
0.931468 | − | 0.363824i | \(-0.118529\pi\) | |||||||
\(110\) | −3.69240 | + | 3.42605i | −0.352056 | + | 0.326661i | ||||
\(111\) | 2.95097 | + | 0.500072i | 0.280093 | + | 0.0474647i | ||||
\(112\) | 0.316698 | − | 2.19059i | 0.0299251 | − | 0.206991i | ||||
\(113\) | 2.19871 | + | 0.331402i | 0.206837 | + | 0.0311757i | 0.251644 | − | 0.967820i | \(-0.419029\pi\) |
−0.0448062 | + | 0.998996i | \(0.514267\pi\) | |||||||
\(114\) | 0.244256 | + | 0.235083i | 0.0228767 | + | 0.0220176i | ||||
\(115\) | −1.25446 | − | 5.49613i | −0.116979 | − | 0.512517i | ||||
\(116\) | −6.88105 | − | 11.9183i | −0.638889 | − | 1.10659i | ||||
\(117\) | 0.951577 | − | 8.51190i | 0.0879733 | − | 0.786926i | ||||
\(118\) | −2.15286 | − | 9.43228i | −0.198186 | − | 0.868311i | ||||
\(119\) | 12.4416 | − | 7.28342i | 1.14052 | − | 0.667670i | ||||
\(120\) | −7.26261 | + | 12.0648i | −0.662982 | + | 1.10136i | ||||
\(121\) | 1.45114 | − | 6.35785i | 0.131922 | − | 0.577986i | ||||
\(122\) | 4.10600 | + | 10.4619i | 0.371740 | + | 0.947178i | ||||
\(123\) | 10.5893 | + | 5.33997i | 0.954806 | + | 0.481489i | ||||
\(124\) | 10.4053 | − | 3.20961i | 0.934424 | − | 0.288232i | ||||
\(125\) | −0.208789 | + | 0.914766i | −0.0186747 | + | 0.0818192i | ||||
\(126\) | 1.96402 | − | 5.73942i | 0.174969 | − | 0.511308i | ||||
\(127\) | 1.73238 | + | 7.59006i | 0.153724 | + | 0.673509i | 0.991783 | + | 0.127930i | \(0.0408332\pi\) |
−0.838059 | + | 0.545579i | \(0.816310\pi\) | |||||||
\(128\) | −4.78842 | − | 8.29379i | −0.423241 | − | 0.733074i | ||||
\(129\) | −13.4385 | + | 12.0198i | −1.18319 | + | 1.05829i | ||||
\(130\) | 6.49332 | + | 2.00292i | 0.569502 | + | 0.175668i | ||||
\(131\) | 9.23838 | + | 4.44897i | 0.807161 | + | 0.388708i | 0.791500 | − | 0.611169i | \(-0.209300\pi\) |
0.0156610 | + | 0.999877i | \(0.495015\pi\) | |||||||
\(132\) | 0.293255 | + | 5.18170i | 0.0255246 | + | 0.451009i | ||||
\(133\) | −0.457863 | + | 0.499459i | −0.0397018 | + | 0.0433085i | ||||
\(134\) | 1.35538 | + | 1.69959i | 0.117087 | + | 0.146822i | ||||
\(135\) | 10.7673 | − | 12.0802i | 0.926698 | − | 1.03970i | ||||
\(136\) | 5.19714 | − | 13.2421i | 0.445651 | − | 1.13550i | ||||
\(137\) | −3.11153 | − | 1.49843i | −0.265836 | − | 0.128020i | 0.296218 | − | 0.955120i | \(-0.404274\pi\) |
−0.562054 | + | 0.827100i | \(0.689989\pi\) | |||||||
\(138\) | 2.13959 | + | 1.07895i | 0.182134 | + | 0.0918465i | ||||
\(139\) | −4.51023 | − | 3.07502i | −0.382553 | − | 0.260820i | 0.356741 | − | 0.934203i | \(-0.383888\pi\) |
−0.739294 | + | 0.673383i | \(0.764840\pi\) | |||||||
\(140\) | −10.1384 | − | 5.77227i | −0.856850 | − | 0.487846i | ||||
\(141\) | −3.26594 | + | 13.1934i | −0.275042 | + | 1.11109i | ||||
\(142\) | −1.14472 | − | 0.780460i | −0.0960632 | − | 0.0654948i | ||||
\(143\) | 5.77351 | − | 1.78089i | 0.482805 | − | 0.148926i | ||||
\(144\) | 0.830964 | + | 2.36816i | 0.0692470 | + | 0.197347i | ||||
\(145\) | −29.9317 | + | 4.51148i | −2.48569 | + | 0.374658i | ||||
\(146\) | 1.37177 | − | 2.37598i | 0.113529 | − | 0.196637i | ||||
\(147\) | 11.5632 | + | 3.64572i | 0.953721 | + | 0.300694i | ||||
\(148\) | 1.22336 | + | 2.11892i | 0.100560 | + | 0.174174i | ||||
\(149\) | 9.18067 | + | 11.5122i | 0.752110 | + | 0.943116i | 0.999668 | − | 0.0257569i | \(-0.00819959\pi\) |
−0.247558 | + | 0.968873i | \(0.579628\pi\) | |||||||
\(150\) | 3.78857 | + | 4.93293i | 0.309336 | + | 0.402772i | ||||
\(151\) | −2.27849 | + | 9.98272i | −0.185421 | + | 0.812382i | 0.793570 | + | 0.608479i | \(0.208220\pi\) |
−0.978991 | + | 0.203903i | \(0.934637\pi\) | |||||||
\(152\) | −0.0499629 | + | 0.666709i | −0.00405253 | + | 0.0540772i | ||||
\(153\) | −8.68512 | + | 13.8490i | −0.702150 | + | 1.11962i | ||||
\(154\) | 4.26526 | − | 0.345482i | 0.343705 | − | 0.0278397i | ||||
\(155\) | 1.78983 | − | 23.8836i | 0.143762 | − | 1.91838i | ||||
\(156\) | 5.85605 | − | 3.83781i | 0.468859 | − | 0.307271i | ||||
\(157\) | −3.69103 | + | 2.51650i | −0.294576 | + | 0.200839i | −0.701585 | − | 0.712586i | \(-0.747524\pi\) |
0.407009 | + | 0.913424i | \(0.366572\pi\) | |||||||
\(158\) | 5.16808 | − | 0.778963i | 0.411150 | − | 0.0619710i | ||||
\(159\) | −3.75799 | + | 1.72592i | −0.298028 | + | 0.136874i | ||||
\(160\) | −18.0479 | + | 2.72028i | −1.42681 | + | 0.215057i | ||||
\(161\) | −2.05199 | + | 4.32749i | −0.161720 | + | 0.341054i | ||||
\(162\) | 1.03698 | + | 6.79976i | 0.0814728 | + | 0.534240i | ||||
\(163\) | 0.00920253 | − | 0.00627418i | 0.000720798 | − | 0.000491431i | −0.562960 | − | 0.826484i | \(-0.690337\pi\) |
0.563680 | + | 0.825993i | \(0.309385\pi\) | |||||||
\(164\) | 2.15730 | + | 9.45176i | 0.168457 | + | 0.738058i | ||||
\(165\) | 10.8450 | + | 3.56342i | 0.844280 | + | 0.277412i | ||||
\(166\) | −5.40511 | −0.419518 | ||||||||
\(167\) | 3.36342 | − | 3.12080i | 0.260269 | − | 0.241495i | −0.539235 | − | 0.842156i | \(-0.681286\pi\) |
0.799504 | + | 0.600661i | \(0.205096\pi\) | |||||||
\(168\) | 11.1892 | − | 4.23409i | 0.863265 | − | 0.326667i | ||||
\(169\) | 3.55465 | + | 3.29823i | 0.273435 | + | 0.253710i | ||||
\(170\) | −9.50721 | − | 8.82140i | −0.729169 | − | 0.676570i | ||||
\(171\) | 0.198203 | − | 0.742283i | 0.0151570 | − | 0.0567638i | ||||
\(172\) | −14.5741 | − | 2.19669i | −1.11127 | − | 0.167496i | ||||
\(173\) | 13.8673 | − | 4.27750i | 1.05431 | − | 0.325213i | 0.281311 | − | 0.959617i | \(-0.409231\pi\) |
0.773002 | + | 0.634404i | \(0.218754\pi\) | |||||||
\(174\) | 6.63563 | − | 11.0233i | 0.503046 | − | 0.835671i | ||||
\(175\) | −9.67258 | + | 7.80939i | −0.731178 | + | 0.590334i | ||||
\(176\) | −1.29781 | + | 1.20419i | −0.0978263 | + | 0.0907695i | ||||
\(177\) | −16.3427 | + | 14.6175i | −1.22839 | + | 1.09872i | ||||
\(178\) | 9.86930 | 0.739735 | ||||||||
\(179\) | −5.51644 | + | 5.11851i | −0.412318 | + | 0.382575i | −0.858880 | − | 0.512178i | \(-0.828839\pi\) |
0.446561 | + | 0.894753i | \(0.352648\pi\) | |||||||
\(180\) | 13.2197 | + | 0.483151i | 0.985337 | + | 0.0360119i | ||||
\(181\) | 6.97439 | − | 8.74561i | 0.518402 | − | 0.650056i | −0.451866 | − | 0.892086i | \(-0.649242\pi\) |
0.970269 | + | 0.242030i | \(0.0778131\pi\) | |||||||
\(182\) | −3.28067 | − | 4.75013i | −0.243179 | − | 0.352103i | ||||
\(183\) | 16.2417 | − | 19.6203i | 1.20062 | − | 1.45037i | ||||
\(184\) | 1.05159 | + | 4.60732i | 0.0775243 | + | 0.339656i | ||||
\(185\) | 5.32146 | − | 0.802081i | 0.391242 | − | 0.0589702i | ||||
\(186\) | 7.33501 | + | 7.05955i | 0.537829 | + | 0.517631i | ||||
\(187\) | −11.4028 | − | 1.71870i | −0.833858 | − | 0.125684i | ||||
\(188\) | −10.0105 | + | 4.82078i | −0.730087 | + | 0.351591i | ||||
\(189\) | −13.5363 | + | 2.40205i | −0.984618 | + | 0.174723i | ||||
\(190\) | 0.549179 | + | 0.264471i | 0.0398416 | + | 0.0191867i | ||||
\(191\) | −5.07955 | − | 3.46318i | −0.367544 | − | 0.250587i | 0.365438 | − | 0.930836i | \(-0.380919\pi\) |
−0.732981 | + | 0.680249i | \(0.761872\pi\) | |||||||
\(192\) | 2.50649 | − | 4.16384i | 0.180891 | − | 0.300499i | ||||
\(193\) | 2.00122 | − | 26.7044i | 0.144051 | − | 1.92223i | −0.193825 | − | 0.981036i | \(-0.562089\pi\) |
0.337876 | − | 0.941191i | \(-0.390292\pi\) | |||||||
\(194\) | −0.376932 | − | 0.472658i | −0.0270621 | − | 0.0339349i | ||||
\(195\) | −3.15202 | − | 15.0740i | −0.225721 | − | 1.07947i | ||||
\(196\) | 3.73187 | + | 9.18189i | 0.266562 | + | 0.655849i | ||||
\(197\) | 10.9935 | 0.783252 | 0.391626 | − | 0.920125i | \(-0.371913\pi\) | ||||
0.391626 | + | 0.920125i | \(0.371913\pi\) | |||||||
\(198\) | −4.10623 | + | 2.58509i | −0.291817 | + | 0.183714i | ||||
\(199\) | −7.70722 | − | 5.25469i | −0.546350 | − | 0.372495i | 0.258465 | − | 0.966021i | \(-0.416783\pi\) |
−0.804815 | + | 0.593525i | \(0.797736\pi\) | |||||||
\(200\) | −2.72960 | + | 11.9591i | −0.193012 | + | 0.845639i | ||||
\(201\) | 1.88335 | − | 4.55241i | 0.132842 | − | 0.321102i | ||||
\(202\) | 0.275433 | + | 3.67540i | 0.0193794 | + | 0.258600i | ||||
\(203\) | 22.3476 | + | 12.7236i | 1.56850 | + | 0.893020i | ||||
\(204\) | −13.2481 | + | 1.75000i | −0.927554 | + | 0.122525i | ||||
\(205\) | 21.0856 | + | 3.17815i | 1.47268 | + | 0.221971i | ||||
\(206\) | −1.11881 | − | 14.9295i | −0.0779515 | − | 1.04019i | ||||
\(207\) | −0.207769 | − | 5.42663i | −0.0144410 | − | 0.377177i | ||||
\(208\) | 2.28229 | + | 0.703992i | 0.158248 | + | 0.0488131i | ||||
\(209\) | 0.535918 | − | 0.0807767i | 0.0370703 | − | 0.00558744i | ||||
\(210\) | 0.133535 | − | 10.9063i | 0.00921477 | − | 0.752607i | ||||
\(211\) | 18.2620 | + | 2.75255i | 1.25720 | + | 0.189493i | 0.743653 | − | 0.668566i | \(-0.233091\pi\) |
0.513552 | + | 0.858059i | \(0.328330\pi\) | |||||||
\(212\) | −3.04576 | − | 1.46676i | −0.209184 | − | 0.100738i | ||||
\(213\) | −0.291793 | + | 3.12629i | −0.0199933 | + | 0.214210i | ||||
\(214\) | 8.31131 | 0.568149 | ||||||||
\(215\) | −16.2089 | + | 28.0747i | −1.10544 | + | 1.91468i | ||||
\(216\) | −9.02603 | + | 10.1267i | −0.614144 | + | 0.689031i | ||||
\(217\) | −13.7496 | + | 14.9987i | −0.933385 | + | 1.01818i | ||||
\(218\) | 7.94286 | + | 7.36990i | 0.537959 | + | 0.499153i | ||||
\(219\) | −6.21665 | − | 0.113565i | −0.420082 | − | 0.00767399i | ||||
\(220\) | 3.40927 | + | 8.68668i | 0.229853 | + | 0.585656i | ||||
\(221\) | 5.68353 | + | 14.4814i | 0.382316 | + | 0.974125i | ||||
\(222\) | −1.17973 | + | 1.95979i | −0.0791782 | + | 0.131532i | ||||
\(223\) | 13.2541 | + | 12.2980i | 0.887560 | + | 0.823535i | 0.985151 | − | 0.171691i | \(-0.0549232\pi\) |
−0.0975909 | + | 0.995227i | \(0.531114\pi\) | |||||||
\(224\) | 13.4749 | + | 7.67192i | 0.900331 | + | 0.512601i | ||||
\(225\) | 5.62571 | − | 12.9249i | 0.375048 | − | 0.861659i | ||||
\(226\) | −0.849689 | + | 1.47170i | −0.0565204 | + | 0.0978963i | ||||
\(227\) | −0.347328 | −0.0230530 | −0.0115265 | − | 0.999934i | \(-0.503669\pi\) | ||||
−0.0115265 | + | 0.999934i | \(0.503669\pi\) | |||||||
\(228\) | 0.570739 | − | 0.262121i | 0.0377981 | − | 0.0173594i | ||||
\(229\) | −2.47326 | − | 1.19106i | −0.163437 | − | 0.0787073i | 0.350377 | − | 0.936609i | \(-0.386054\pi\) |
−0.513814 | + | 0.857902i | \(0.671768\pi\) | |||||||
\(230\) | 4.26040 | + | 0.642151i | 0.280922 | + | 0.0423422i | ||||
\(231\) | −5.36458 | − | 8.07916i | −0.352963 | − | 0.531570i | ||||
\(232\) | 25.0913 | − | 3.78190i | 1.64732 | − | 0.248294i | ||||
\(233\) | 9.29264 | + | 2.86640i | 0.608781 | + | 0.187784i | 0.583791 | − | 0.811904i | \(-0.301569\pi\) |
0.0249895 | + | 0.999688i | \(0.492045\pi\) | |||||||
\(234\) | 5.78996 | + | 3.05365i | 0.378501 | + | 0.199624i | ||||
\(235\) | 1.82627 | + | 24.3698i | 0.119132 | + | 1.58971i | ||||
\(236\) | −17.7237 | − | 2.67142i | −1.15372 | − | 0.173895i | ||||
\(237\) | −7.21468 | − | 9.39391i | −0.468644 | − | 0.610200i | ||||
\(238\) | 1.70776 | + | 10.8850i | 0.110698 | + | 0.705572i | ||||
\(239\) | 0.439440 | + | 5.86393i | 0.0284250 | + | 0.379306i | 0.993216 | + | 0.116287i | \(0.0370992\pi\) |
−0.964791 | + | 0.263019i | \(0.915282\pi\) | |||||||
\(240\) | 2.74862 | + | 3.57885i | 0.177422 | + | 0.231014i | ||||
\(241\) | −5.45900 | + | 23.9174i | −0.351645 | + | 1.54066i | 0.421738 | + | 0.906718i | \(0.361420\pi\) |
−0.773383 | + | 0.633939i | \(0.781437\pi\) | |||||||
\(242\) | 4.11801 | + | 2.80761i | 0.264715 | + | 0.180480i | ||||
\(243\) | 12.3465 | − | 9.51648i | 0.792030 | − | 0.610482i | ||||
\(244\) | 20.8214 | 1.33295 | ||||||||
\(245\) | 21.7983 | − | 0.262578i | 1.39265 | − | 0.0167755i | ||||
\(246\) | −6.75575 | + | 6.04259i | −0.430731 | + | 0.385261i | ||||
\(247\) | −0.455864 | − | 0.571635i | −0.0290059 | − | 0.0363723i | ||||
\(248\) | −1.50039 | + | 20.0212i | −0.0952745 | + | 1.27135i | ||||
\(249\) | 5.93002 | + | 10.7186i | 0.375800 | + | 0.679261i | ||||
\(250\) | −0.592498 | − | 0.403958i | −0.0374729 | − | 0.0255486i | ||||
\(251\) | 9.86446 | + | 4.75047i | 0.622639 | + | 0.299847i | 0.718478 | − | 0.695550i | \(-0.244839\pi\) |
−0.0958388 | + | 0.995397i | \(0.530553\pi\) | |||||||
\(252\) | −8.56867 | − | 7.27177i | −0.539775 | − | 0.458078i | ||||
\(253\) | 3.45152 | − | 1.66216i | 0.216995 | − | 0.104499i | ||||
\(254\) | −5.88353 | − | 0.886800i | −0.369166 | − | 0.0556428i | ||||
\(255\) | −7.06272 | + | 28.5312i | −0.442285 | + | 1.78670i | ||||
\(256\) | 12.7867 | − | 1.92729i | 0.799169 | − | 0.120455i | ||||
\(257\) | −2.91713 | − | 12.7808i | −0.181965 | − | 0.797242i | −0.980694 | − | 0.195551i | \(-0.937351\pi\) |
0.798728 | − | 0.601692i | \(-0.205507\pi\) | |||||||
\(258\) | −4.79907 | − | 12.9167i | −0.298777 | − | 0.804160i | ||||
\(259\) | −3.97311 | − | 2.26208i | −0.246877 | − | 0.140559i | ||||
\(260\) | 7.84913 | − | 9.84250i | 0.486782 | − | 0.610406i | ||||
\(261\) | −29.1396 | − | 1.06499i | −1.80370 | − | 0.0659212i | ||||
\(262\) | −5.74466 | + | 5.33027i | −0.354906 | + | 0.329305i | ||||
\(263\) | 18.7409 | 1.15561 | 0.577807 | − | 0.816173i | \(-0.303908\pi\) | ||||
0.577807 | + | 0.816173i | \(0.303908\pi\) | |||||||
\(264\) | −9.09117 | − | 2.98716i | −0.559523 | − | 0.183847i | ||||
\(265\) | −5.45061 | + | 5.05743i | −0.334829 | + | 0.310675i | ||||
\(266\) | −0.227488 | − | 0.465197i | −0.0139482 | − | 0.0285230i | ||||
\(267\) | −10.8277 | − | 19.5712i | −0.662646 | − | 1.19774i | ||||
\(268\) | 3.84843 | − | 1.18708i | 0.235080 | − | 0.0725126i | ||||
\(269\) | −20.5209 | − | 3.09303i | −1.25118 | − | 0.188585i | −0.510167 | − | 0.860075i | \(-0.670416\pi\) |
−0.741013 | + | 0.671490i | \(0.765655\pi\) | |||||||
\(270\) | 5.58786 | + | 11.0332i | 0.340066 | + | 0.671459i | ||||
\(271\) | 7.26802 | + | 6.74373i | 0.441501 | + | 0.409653i | 0.869350 | − | 0.494198i | \(-0.164538\pi\) |
−0.427849 | + | 0.903850i | \(0.640729\pi\) | |||||||
\(272\) | −3.34161 | − | 3.10056i | −0.202615 | − | 0.187999i | ||||
\(273\) | −5.82045 | + | 11.7171i | −0.352270 | + | 0.709153i | ||||
\(274\) | 1.93483 | − | 1.79526i | 0.116887 | − | 0.108456i | ||||
\(275\) | 9.94380 | 0.599634 | ||||||||
\(276\) | 3.30889 | − | 2.95959i | 0.199172 | − | 0.178146i | ||||
\(277\) | −2.41890 | − | 10.5979i | −0.145337 | − | 0.636765i | −0.994144 | − | 0.108062i | \(-0.965536\pi\) |
0.848807 | − | 0.528703i | \(-0.177322\pi\) | |||||||
\(278\) | 3.44701 | − | 2.35013i | 0.206738 | − | 0.140952i | ||||
\(279\) | 5.95204 | − | 22.2907i | 0.356340 | − | 1.33451i | ||||
\(280\) | 16.7367 | − | 13.5128i | 1.00021 | − | 0.807541i | ||||
\(281\) | −7.35756 | + | 1.10897i | −0.438915 | + | 0.0661558i | −0.364783 | − | 0.931093i | \(-0.618857\pi\) |
−0.0741323 | + | 0.997248i | \(0.523619\pi\) | |||||||
\(282\) | −8.47433 | − | 6.00733i | −0.504639 | − | 0.357731i | ||||
\(283\) | 1.21356 | − | 0.182915i | 0.0721386 | − | 0.0108731i | −0.112874 | − | 0.993609i | \(-0.536006\pi\) |
0.185012 | + | 0.982736i | \(0.440767\pi\) | |||||||
\(284\) | −2.12075 | + | 1.44590i | −0.125844 | + | 0.0857987i | ||||
\(285\) | −0.0780548 | − | 1.37920i | −0.00462357 | − | 0.0816966i | ||||
\(286\) | −0.345076 | + | 4.60472i | −0.0204048 | + | 0.272283i | ||||
\(287\) | −12.4016 | − | 13.2053i | −0.732043 | − | 0.779487i | ||||
\(288\) | −17.5703 | − | 0.642155i | −1.03534 | − | 0.0378394i | ||||
\(289\) | 0.948453 | − | 12.6562i | 0.0557913 | − | 0.744483i | ||||
\(290\) | 5.14782 | − | 22.5541i | 0.302291 | − | 1.32442i | ||||
\(291\) | −0.523763 | + | 1.26603i | −0.0307035 | + | 0.0742160i | ||||
\(292\) | −3.16906 | − | 3.97387i | −0.185455 | − | 0.232553i | ||||
\(293\) | 10.9372 | + | 18.9437i | 0.638956 | + | 1.10670i | 0.985662 | + | 0.168731i | \(0.0539669\pi\) |
−0.346706 | + | 0.937974i | \(0.612700\pi\) | |||||||
\(294\) | −5.82234 | + | 7.20854i | −0.339566 | + | 0.420410i | ||||
\(295\) | −19.7119 | + | 34.1419i | −1.14767 | + | 1.98782i | ||||
\(296\) | −4.46090 | + | 0.672373i | −0.259285 | + | 0.0390809i | ||||
\(297\) | 9.63133 | + | 5.30668i | 0.558866 | + | 0.307925i | ||||
\(298\) | −10.7536 | + | 3.31704i | −0.622937 | + | 0.192151i | ||||
\(299\) | −4.27007 | − | 2.91129i | −0.246945 | − | 0.168364i | ||||
\(300\) | 11.0714 | − | 3.19483i | 0.639209 | − | 0.184454i | ||||
\(301\) | 25.5759 | − | 10.2160i | 1.47417 | − | 0.588840i | ||||
\(302\) | −6.46585 | − | 4.40834i | −0.372068 | − | 0.253672i | ||||
\(303\) | 6.98629 | − | 4.57852i | 0.401352 | − | 0.263029i | ||||
\(304\) | 0.193027 | + | 0.0929567i | 0.0110708 | + | 0.00533143i | ||||
\(305\) | 16.7314 | − | 42.6310i | 0.958038 | − | 2.44104i | ||||
\(306\) | −7.42759 | − | 10.0458i | −0.424607 | − | 0.574278i | ||||
\(307\) | 21.7244 | + | 27.2415i | 1.23988 | + | 1.55475i | 0.703274 | + | 0.710919i | \(0.251721\pi\) |
0.536602 | + | 0.843836i | \(0.319708\pi\) | |||||||
\(308\) | 2.29111 | − | 7.58957i | 0.130548 | − | 0.432456i | ||||
\(309\) | −28.3784 | + | 18.5980i | −1.61439 | + | 1.05801i | ||||
\(310\) | 16.4918 | + | 7.94205i | 0.936673 | + | 0.451078i | ||||
\(311\) | 1.79262 | + | 0.552950i | 0.101650 | + | 0.0313549i | 0.345163 | − | 0.938543i | \(-0.387824\pi\) |
−0.243513 | + | 0.969898i | \(0.578300\pi\) | |||||||
\(312\) | 2.64229 | + | 12.6363i | 0.149590 | + | 0.715388i | ||||
\(313\) | 11.8588 | + | 20.5400i | 0.670298 | + | 1.16099i | 0.977820 | + | 0.209449i | \(0.0671669\pi\) |
−0.307522 | + | 0.951541i | \(0.599500\pi\) | |||||||
\(314\) | −0.759724 | − | 3.32857i | −0.0428737 | − | 0.187842i | ||||
\(315\) | −21.7742 | + | 11.7006i | −1.22683 | + | 0.659256i | ||||
\(316\) | 2.15460 | − | 9.43993i | 0.121206 | − | 0.531038i | ||||
\(317\) | −10.2686 | + | 3.16744i | −0.576741 | + | 0.177901i | −0.569384 | − | 0.822072i | \(-0.692818\pi\) |
−0.00735747 | + | 0.999973i | \(0.502342\pi\) | |||||||
\(318\) | −0.178581 | − | 3.15547i | −0.0100144 | − | 0.176950i | ||||
\(319\) | −7.51491 | − | 19.1477i | −0.420754 | − | 1.07206i | ||||
\(320\) | 1.94450 | − | 8.51941i | 0.108701 | − | 0.476250i | ||||
\(321\) | −9.11844 | − | 16.4817i | −0.508941 | − | 0.919917i | ||||
\(322\) | −2.50577 | − | 2.66817i | −0.139641 | − | 0.148691i | ||||
\(323\) | 0.310522 | + | 1.36048i | 0.0172779 | + | 0.0756994i | ||||
\(324\) | 12.4285 | + | 2.81403i | 0.690473 | + | 0.156335i | ||||
\(325\) | −6.70736 | − | 11.6175i | −0.372057 | − | 0.644422i | ||||
\(326\) | 0.00189416 | + | 0.00829884i | 0.000104908 | + | 0.000459631i | ||||
\(327\) | 5.90060 | − | 23.8366i | 0.326304 | − | 1.31817i | ||||
\(328\) | −17.6758 | − | 2.66419i | −0.975981 | − | 0.147105i | ||||
\(329\) | 11.5919 | − | 17.2241i | 0.639081 | − | 0.949598i | ||||
\(330\) | −5.56324 | + | 6.72051i | −0.306246 | + | 0.369952i | ||||
\(331\) | −16.8073 | + | 15.5949i | −0.923813 | + | 0.857173i | −0.990062 | − | 0.140630i | \(-0.955087\pi\) |
0.0662494 | + | 0.997803i | \(0.478897\pi\) | |||||||
\(332\) | −3.65841 | + | 9.32148i | −0.200781 | + | 0.511582i | ||||
\(333\) | 5.18064 | + | 0.189341i | 0.283897 | + | 0.0103758i | ||||
\(334\) | 1.28112 | + | 3.26423i | 0.0700995 | + | 0.178611i | ||||
\(335\) | 0.661972 | − | 8.83340i | 0.0361674 | − | 0.482620i | ||||
\(336\) | 0.0469351 | − | 3.83337i | 0.00256052 | − | 0.209128i | ||||
\(337\) | −0.993891 | − | 13.2626i | −0.0541407 | − | 0.722458i | −0.956548 | − | 0.291574i | \(-0.905821\pi\) |
0.902408 | − | 0.430884i | \(-0.141798\pi\) | |||||||
\(338\) | −3.33899 | + | 1.60797i | −0.181617 | + | 0.0874623i | ||||
\(339\) | 3.85065 | + | 0.0703431i | 0.209139 | + | 0.00382051i | ||||
\(340\) | −21.6480 | + | 10.4251i | −1.17403 | + | 0.565381i | ||||
\(341\) | 16.0936 | − | 2.42572i | 0.871519 | − | 0.131360i | ||||
\(342\) | 0.472743 | + | 0.348267i | 0.0255630 | + | 0.0188321i | ||||
\(343\) | −14.6860 | − | 11.2837i | −0.792968 | − | 0.609263i | ||||
\(344\) | 13.5877 | − | 23.5346i | 0.732600 | − | 1.26890i | ||||
\(345\) | −3.40072 | − | 9.15305i | −0.183089 | − | 0.492784i | ||||
\(346\) | −0.828835 | + | 11.0600i | −0.0445584 | + | 0.594591i | ||||
\(347\) | −3.38523 | − | 3.14104i | −0.181729 | − | 0.168620i | 0.584063 | − | 0.811708i | \(-0.301462\pi\) |
−0.765792 | + | 0.643089i | \(0.777653\pi\) | |||||||
\(348\) | −14.5190 | − | 18.9046i | −0.778303 | − | 1.01339i | ||||
\(349\) | −15.4837 | + | 10.5566i | −0.828821 | + | 0.565081i | −0.901751 | − | 0.432256i | \(-0.857718\pi\) |
0.0729294 | + | 0.997337i | \(0.476765\pi\) | |||||||
\(350\) | −2.85511 | − | 9.06191i | −0.152612 | − | 0.484380i | ||||
\(351\) | −0.296714 | − | 14.8319i | −0.0158374 | − | 0.791670i | ||||
\(352\) | −4.53126 | − | 11.5455i | −0.241517 | − | 0.615375i | ||||
\(353\) | −25.5553 | − | 12.3068i | −1.36017 | − | 0.655023i | −0.395495 | − | 0.918468i | \(-0.629427\pi\) |
−0.964674 | + | 0.263445i | \(0.915141\pi\) | |||||||
\(354\) | −5.83621 | − | 15.7082i | −0.310191 | − | 0.834880i | ||||
\(355\) | 1.25626 | + | 5.50404i | 0.0666754 | + | 0.292124i | ||||
\(356\) | 6.67996 | − | 17.0203i | 0.354037 | − | 0.902072i | ||||
\(357\) | 19.7119 | − | 15.3287i | 1.04326 | − | 0.811279i | ||||
\(358\) | −2.10119 | − | 5.35376i | −0.111052 | − | 0.282955i | ||||
\(359\) | −10.6559 | + | 7.26507i | −0.562397 | + | 0.383436i | −0.810891 | − | 0.585198i | \(-0.801017\pi\) |
0.248494 | + | 0.968634i | \(0.420065\pi\) | |||||||
\(360\) | −9.73429 | + | 22.3642i | −0.513042 | + | 1.17870i | ||||
\(361\) | 9.46721 | + | 16.3977i | 0.498274 | + | 0.863036i | ||||
\(362\) | 4.27455 | + | 7.40374i | 0.224665 | + | 0.389132i | ||||
\(363\) | 1.04969 | − | 11.2464i | 0.0550944 | − | 0.590285i | ||||
\(364\) | −10.4124 | + | 2.44263i | −0.545759 | + | 0.128029i | ||||
\(365\) | −10.6829 | + | 3.29524i | −0.559169 | + | 0.172481i | ||||
\(366\) | 9.42357 | + | 17.0332i | 0.492578 | + | 0.890339i | ||||
\(367\) | 3.59453 | − | 4.50740i | 0.187633 | − | 0.235284i | −0.679114 | − | 0.734033i | \(-0.737636\pi\) |
0.866746 | + | 0.498749i | \(0.166207\pi\) | |||||||
\(368\) | 1.49745 | + | 0.225705i | 0.0780601 | + | 0.0117657i | ||||
\(369\) | 19.3945 | + | 6.76754i | 1.00964 | + | 0.352304i | ||||
\(370\) | −0.915215 | + | 4.00982i | −0.0475798 | + | 0.208461i | ||||
\(371\) | 6.29626 | − | 0.509990i | 0.326886 | − | 0.0264774i | ||||
\(372\) | 17.1393 | − | 7.87150i | 0.888631 | − | 0.408118i | ||||
\(373\) | 22.8695 | 1.18414 | 0.592068 | − | 0.805888i | \(-0.298312\pi\) | ||||
0.592068 | + | 0.805888i | \(0.298312\pi\) | |||||||
\(374\) | 4.40661 | − | 7.63247i | 0.227860 | − | 0.394666i | ||||
\(375\) | −0.151029 | + | 1.61813i | −0.00779910 | + | 0.0835601i | ||||
\(376\) | −1.53093 | − | 20.4288i | −0.0789517 | − | 1.05354i | ||||
\(377\) | −17.3015 | + | 21.6954i | −0.891073 | + | 1.11737i | ||||
\(378\) | 2.07066 | − | 10.3008i | 0.106503 | − | 0.529818i | ||||
\(379\) | 8.86535 | + | 11.1168i | 0.455383 | + | 0.571032i | 0.955525 | − | 0.294912i | \(-0.0952902\pi\) |
−0.500142 | + | 0.865943i | \(0.666719\pi\) | |||||||
\(380\) | 0.827804 | − | 0.768090i | 0.0424655 | − | 0.0394022i | ||||
\(381\) | 4.69634 | + | 12.6402i | 0.240601 | + | 0.647578i | ||||
\(382\) | 3.88212 | − | 2.64679i | 0.198627 | − | 0.135421i | ||||
\(383\) | −7.59514 | + | 9.52401i | −0.388094 | + | 0.486654i | −0.937049 | − | 0.349198i | \(-0.886454\pi\) |
0.548955 | + | 0.835852i | \(0.315026\pi\) | |||||||
\(384\) | −10.1036 | − | 13.1554i | −0.515597 | − | 0.671335i | ||||
\(385\) | −13.6983 | − | 10.7897i | −0.698128 | − | 0.549893i | ||||
\(386\) | 18.4397 | + | 8.88007i | 0.938554 | + | 0.451984i | ||||
\(387\) | −20.3493 | + | 23.6879i | −1.03441 | + | 1.20412i | ||||
\(388\) | −1.07025 | + | 0.330129i | −0.0543339 | + | 0.0167598i | ||||
\(389\) | −6.48225 | + | 3.12168i | −0.328663 | + | 0.158276i | −0.590937 | − | 0.806718i | \(-0.701242\pi\) |
0.262274 | + | 0.964993i | \(0.415528\pi\) | |||||||
\(390\) | 11.6042 | + | 1.96645i | 0.587602 | + | 0.0995752i | ||||
\(391\) | 4.93191 | + | 8.54231i | 0.249417 | + | 0.432003i | ||||
\(392\) | −18.2732 | + | 0.220115i | −0.922937 | + | 0.0111175i | ||||
\(393\) | 16.8727 | + | 5.54400i | 0.851114 | + | 0.279658i | ||||
\(394\) | −3.06956 | + | 7.82112i | −0.154642 | + | 0.394022i | ||||
\(395\) | −17.5965 | − | 11.9971i | −0.885376 | − | 0.603639i | ||||
\(396\) | 1.67889 | + | 8.83116i | 0.0843674 | + | 0.443782i | ||||
\(397\) | 1.02953 | − | 13.7381i | 0.0516707 | − | 0.689498i | −0.909880 | − | 0.414871i | \(-0.863827\pi\) |
0.961551 | − | 0.274627i | \(-0.0885543\pi\) | |||||||
\(398\) | 5.89035 | − | 4.01597i | 0.295257 | − | 0.201303i | ||||
\(399\) | −0.672924 | + | 0.961492i | −0.0336883 | + | 0.0481348i | ||||
\(400\) | 3.24779 | + | 2.21431i | 0.162390 | + | 0.110715i | ||||
\(401\) | −6.31873 | + | 7.92343i | −0.315542 | + | 0.395677i | −0.914157 | − | 0.405359i | \(-0.867146\pi\) |
0.598615 | + | 0.801037i | \(0.295718\pi\) | |||||||
\(402\) | 2.71287 | + | 2.61099i | 0.135306 | + | 0.130224i | ||||
\(403\) | −13.6896 | − | 17.1662i | −0.681927 | − | 0.855109i | ||||
\(404\) | 6.52489 | + | 2.01266i | 0.324626 | + | 0.100134i | ||||
\(405\) | 15.7488 | − | 23.1856i | 0.782562 | − | 1.15210i | ||||
\(406\) | −15.2918 | + | 12.3462i | −0.758920 | + | 0.612732i | ||||
\(407\) | 1.33605 | + | 3.40421i | 0.0662257 | + | 0.168740i | ||||
\(408\) | 5.92057 | − | 23.9173i | 0.293112 | − | 1.18408i | ||||
\(409\) | 29.7386 | + | 9.17314i | 1.47048 | + | 0.453582i | 0.923511 | − | 0.383572i | \(-0.125306\pi\) |
0.546967 | + | 0.837154i | \(0.315782\pi\) | |||||||
\(410\) | −8.14851 | + | 14.1136i | −0.402426 | + | 0.697023i | ||||
\(411\) | −5.68280 | − | 1.86724i | −0.280312 | − | 0.0921044i | ||||
\(412\) | −26.5042 | − | 8.17547i | −1.30577 | − | 0.402777i | ||||
\(413\) | 31.1032 | − | 12.4238i | 1.53049 | − | 0.611334i | ||||
\(414\) | 3.91870 | + | 1.36739i | 0.192594 | + | 0.0672038i | ||||
\(415\) | 16.1456 | + | 14.9809i | 0.792554 | + | 0.735383i | ||||
\(416\) | −10.4323 | + | 13.0816i | −0.511484 | + | 0.641381i | ||||
\(417\) | −8.44216 | − | 4.25720i | −0.413414 | − | 0.208476i | ||||
\(418\) | −0.0921703 | + | 0.403825i | −0.00450820 | + | 0.0197517i | ||||
\(419\) | 24.4321 | − | 7.53630i | 1.19359 | − | 0.368172i | 0.366591 | − | 0.930382i | \(-0.380525\pi\) |
0.826994 | + | 0.562210i | \(0.190049\pi\) | |||||||
\(420\) | −18.7183 | − | 7.61214i | −0.913358 | − | 0.371434i | ||||
\(421\) | 1.88571 | + | 0.581663i | 0.0919037 | + | 0.0283485i | 0.340366 | − | 0.940293i | \(-0.389449\pi\) |
−0.248462 | + | 0.968642i | \(0.579925\pi\) | |||||||
\(422\) | −7.05730 | + | 12.2236i | −0.343544 | + | 0.595036i | ||||
\(423\) | −2.61549 | + | 23.3957i | −0.127169 | + | 1.13754i | ||||
\(424\) | 4.56917 | − | 4.23957i | 0.221898 | − | 0.205892i | ||||
\(425\) | 1.91334 | + | 25.5317i | 0.0928106 | + | 1.23847i | ||||
\(426\) | −2.14267 | − | 1.08050i | −0.103813 | − | 0.0523506i | ||||
\(427\) | −33.5766 | + | 19.6560i | −1.62488 | + | 0.951221i | ||||
\(428\) | 5.62544 | − | 14.3334i | 0.271916 | − | 0.692831i | ||||
\(429\) | 9.50994 | − | 4.36760i | 0.459144 | − | 0.210870i | ||||
\(430\) | −15.4475 | − | 19.3705i | −0.744943 | − | 0.934129i | ||||
\(431\) | 1.11149 | + | 14.8318i | 0.0535384 | + | 0.714421i | 0.957799 | + | 0.287439i | \(0.0928040\pi\) |
−0.904260 | + | 0.426982i | \(0.859577\pi\) | |||||||
\(432\) | 1.96403 | + | 3.87797i | 0.0944945 | + | 0.186579i | ||||
\(433\) | −28.0906 | + | 13.5277i | −1.34995 | + | 0.650100i | −0.962371 | − | 0.271738i | \(-0.912402\pi\) |
−0.387576 | + | 0.921838i | \(0.626687\pi\) | |||||||
\(434\) | −6.83147 | − | 13.9698i | −0.327921 | − | 0.670574i | ||||
\(435\) | −50.3734 | + | 14.5360i | −2.41522 | + | 0.696949i | ||||
\(436\) | 18.0859 | − | 8.70973i | 0.866160 | − | 0.417121i | ||||
\(437\) | −0.339833 | − | 0.315319i | −0.0162564 | − | 0.0150837i | ||||
\(438\) | 1.81659 | − | 4.39103i | 0.0868000 | − | 0.209811i | ||||
\(439\) | 5.91659 | − | 15.0752i | 0.282383 | − | 0.719501i | −0.717357 | − | 0.696706i | \(-0.754648\pi\) |
0.999740 | − | 0.0227950i | \(-0.00725649\pi\) | |||||||
\(440\) | −17.2060 | −0.820262 | ||||||||
\(441\) | 20.6826 | + | 3.63737i | 0.984885 | + | 0.173208i | ||||
\(442\) | −11.8895 | −0.565526 | ||||||||
\(443\) | 8.81442 | − | 22.4588i | 0.418786 | − | 1.06705i | −0.553416 | − | 0.832905i | \(-0.686676\pi\) |
0.972202 | − | 0.234144i | \(-0.0752288\pi\) | |||||||
\(444\) | 2.58130 | + | 3.36099i | 0.122503 | + | 0.159505i | ||||
\(445\) | −29.4805 | − | 27.3539i | −1.39751 | − | 1.29670i | ||||
\(446\) | −12.4500 | + | 5.99560i | −0.589524 | + | 0.283900i | ||||
\(447\) | 18.3757 | + | 17.6856i | 0.869140 | + | 0.836500i | ||||
\(448\) | −5.77622 | + | 4.66357i | −0.272901 | + | 0.220333i | ||||
\(449\) | 3.04602 | − | 1.46689i | 0.143751 | − | 0.0692267i | −0.360626 | − | 0.932711i | \(-0.617437\pi\) |
0.504376 | + | 0.863484i | \(0.331722\pi\) | |||||||
\(450\) | 7.62440 | + | 7.61117i | 0.359418 | + | 0.358794i | ||||
\(451\) | 1.08287 | + | 14.4499i | 0.0509904 | + | 0.680419i | ||||
\(452\) | 1.96295 | + | 2.46146i | 0.0923292 | + | 0.115777i | ||||
\(453\) | −1.64816 | + | 17.6585i | −0.0774373 | + | 0.829668i | ||||
\(454\) | 0.0969800 | − | 0.247101i | 0.00455150 | − | 0.0115970i | ||||
\(455\) | −3.36589 | + | 23.2818i | −0.157796 | + | 1.09147i | ||||
\(456\) | 0.0654322 | + | 1.15616i | 0.00306414 | + | 0.0541422i | ||||
\(457\) | 0.575736 | + | 7.68266i | 0.0269318 | + | 0.359380i | 0.994347 | + | 0.106183i | \(0.0338629\pi\) |
−0.967415 | + | 0.253197i | \(0.918518\pi\) | |||||||
\(458\) | 1.53793 | − | 1.42699i | 0.0718630 | − | 0.0666791i | ||||
\(459\) | −11.7723 | + | 25.7505i | −0.549482 | + | 1.20193i | ||||
\(460\) | 3.99105 | − | 6.91270i | 0.186084 | − | 0.322306i | ||||
\(461\) | 21.5000 | + | 6.63187i | 1.00136 | + | 0.308877i | 0.751734 | − | 0.659466i | \(-0.229218\pi\) |
0.249621 | + | 0.968344i | \(0.419694\pi\) | |||||||
\(462\) | 7.24567 | − | 1.56070i | 0.337099 | − | 0.0726104i | ||||
\(463\) | 1.46690 | − | 0.452478i | 0.0681725 | − | 0.0210284i | −0.260481 | − | 0.965479i | \(-0.583881\pi\) |
0.328654 | + | 0.944450i | \(0.393405\pi\) | |||||||
\(464\) | 1.80937 | − | 7.92736i | 0.0839978 | − | 0.368018i | ||||
\(465\) | −2.34398 | − | 41.4173i | −0.108700 | − | 1.92068i | ||||
\(466\) | −4.63392 | + | 5.81075i | −0.214662 | + | 0.269178i | ||||
\(467\) | 4.74458 | + | 4.40233i | 0.219553 | + | 0.203715i | 0.782279 | − | 0.622928i | \(-0.214057\pi\) |
−0.562726 | + | 0.826643i | \(0.690247\pi\) | |||||||
\(468\) | 9.18511 | − | 7.91832i | 0.424582 | − | 0.366025i | ||||
\(469\) | −5.08533 | + | 5.54732i | −0.234819 | + | 0.256151i | ||||
\(470\) | −17.8474 | − | 5.50520i | −0.823241 | − | 0.253936i | ||||
\(471\) | −5.76719 | + | 5.15838i | −0.265738 | + | 0.237686i | ||||
\(472\) | 16.5242 | − | 28.6207i | 0.760586 | − | 1.31737i | ||||
\(473\) | −21.0506 | − | 6.49325i | −0.967908 | − | 0.298560i | ||||
\(474\) | 8.69760 | − | 2.50983i | 0.399494 | − | 0.115280i | ||||
\(475\) | −0.439623 | − | 1.12014i | −0.0201713 | − | 0.0513956i | ||||
\(476\) | 19.9278 | + | 4.42230i | 0.913391 | + | 0.202696i | ||||
\(477\) | −6.06149 | + | 3.81603i | −0.277537 | + | 0.174724i | ||||
\(478\) | −4.29449 | − | 1.32468i | −0.196426 | − | 0.0605893i | ||||
\(479\) | 13.6052 | + | 17.0604i | 0.621636 | + | 0.779507i | 0.988574 | − | 0.150738i | \(-0.0481651\pi\) |
−0.366937 | + | 0.930246i | \(0.619594\pi\) | |||||||
\(480\) | −30.3736 | + | 8.76476i | −1.38636 | + | 0.400055i | ||||
\(481\) | 3.07598 | − | 3.85716i | 0.140253 | − | 0.175871i | ||||
\(482\) | −15.4914 | − | 10.5619i | −0.705615 | − | 0.481080i | ||||
\(483\) | −2.54197 | + | 7.89632i | −0.115664 | + | 0.359295i | ||||
\(484\) | 7.62915 | − | 5.20146i | 0.346779 | − | 0.236430i | ||||
\(485\) | −0.184095 | + | 2.45658i | −0.00835934 | + | 0.111548i | ||||
\(486\) | 3.32298 | + | 11.4409i | 0.150733 | + | 0.518970i | ||||
\(487\) | −20.3342 | − | 13.8636i | −0.921431 | − | 0.628221i | 0.00689987 | − | 0.999976i | \(-0.497804\pi\) |
−0.928331 | + | 0.371755i | \(0.878756\pi\) | |||||||
\(488\) | −14.0257 | + | 35.7369i | −0.634913 | + | 1.61773i | ||||
\(489\) | 0.0143788 | − | 0.0128610i | 0.000650234 | − | 0.000581593i | ||||
\(490\) | −5.89967 | + | 15.5814i | −0.266520 | + | 0.703896i | ||||
\(491\) | −14.2974 | − | 24.7638i | −0.645231 | − | 1.11757i | −0.984248 | − | 0.176792i | \(-0.943428\pi\) |
0.339017 | − | 0.940780i | \(-0.389905\pi\) | |||||||
\(492\) | 5.84826 | + | 15.7406i | 0.263660 | + | 0.709642i | ||||
\(493\) | 47.7177 | − | 22.9796i | 2.14910 | − | 1.03495i | ||||
\(494\) | 0.533966 | − | 0.164707i | 0.0240242 | − | 0.00741050i | ||||
\(495\) | 19.4305 | + | 3.65898i | 0.873338 | + | 0.164459i | ||||
\(496\) | 5.79658 | + | 2.79149i | 0.260274 | + | 0.125341i | ||||
\(497\) | 2.05495 | − | 4.33372i | 0.0921770 | − | 0.194394i | ||||
\(498\) | −9.28131 | + | 1.22601i | −0.415905 | + | 0.0549387i | ||||
\(499\) | −4.07849 | + | 5.11426i | −0.182578 | + | 0.228946i | −0.864695 | − | 0.502298i | \(-0.832488\pi\) |
0.682117 | + | 0.731243i | \(0.261060\pi\) | |||||||
\(500\) | −1.09768 | + | 0.748386i | −0.0490897 | + | 0.0334688i | ||||
\(501\) | 5.06757 | − | 6.12173i | 0.226402 | − | 0.273499i | ||||
\(502\) | −6.13397 | + | 5.69150i | −0.273773 | + | 0.254024i | ||||
\(503\) | −5.86088 | − | 7.34931i | −0.261324 | − | 0.327689i | 0.633809 | − | 0.773490i | \(-0.281491\pi\) |
−0.895132 | + | 0.445800i | \(0.852919\pi\) | |||||||
\(504\) | 18.2530 | − | 9.80847i | 0.813051 | − | 0.436904i | ||||
\(505\) | 9.36405 | − | 11.7421i | 0.416695 | − | 0.522518i | ||||
\(506\) | 0.218796 | + | 2.91963i | 0.00972668 | + | 0.129793i | ||||
\(507\) | 6.85193 | + | 4.85723i | 0.304305 | + | 0.215717i | ||||
\(508\) | −5.51157 | + | 9.54632i | −0.244536 | + | 0.423549i | ||||
\(509\) | 15.2324 | 0.675164 | 0.337582 | − | 0.941296i | \(-0.390391\pi\) | ||||
0.337582 | + | 0.941296i | \(0.390391\pi\) | |||||||
\(510\) | −18.3261 | − | 12.9911i | −0.811491 | − | 0.575254i | ||||
\(511\) | 8.86187 | + | 3.41658i | 0.392026 | + | 0.151141i | ||||
\(512\) | 2.06296 | − | 9.03843i | 0.0911709 | − | 0.399446i | ||||
\(513\) | 0.171975 | − | 1.31956i | 0.00759287 | − | 0.0582598i | ||||
\(514\) | 9.90718 | + | 1.49327i | 0.436987 | + | 0.0658652i | ||||
\(515\) | −38.0369 | + | 47.6968i | −1.67611 | + | 2.10177i | ||||
\(516\) | −25.5240 | − | 0.466267i | −1.12363 | − | 0.0205263i | ||||
\(517\) | −15.8690 | + | 4.89492i | −0.697916 | + | 0.215279i | ||||
\(518\) | 2.71868 | − | 2.19499i | 0.119452 | − | 0.0964425i | ||||
\(519\) | 22.8418 | − | 10.4905i | 1.00264 | − | 0.460481i | ||||
\(520\) | 11.6059 | + | 20.1020i | 0.508952 | + | 0.881530i | ||||
\(521\) | −21.4572 | − | 37.1650i | −0.940057 | − | 1.62823i | −0.765357 | − | 0.643606i | \(-0.777438\pi\) |
−0.174700 | − | 0.984622i | \(-0.555896\pi\) | |||||||
\(522\) | 8.89394 | − | 20.4335i | 0.389277 | − | 0.894351i | ||||
\(523\) | 19.7439 | − | 13.4612i | 0.863340 | − | 0.588615i | −0.0486554 | − | 0.998816i | \(-0.515494\pi\) |
0.911995 | + | 0.410200i | \(0.134541\pi\) | |||||||
\(524\) | 5.30417 | + | 13.5148i | 0.231714 | + | 0.590397i | ||||
\(525\) | −14.8378 | + | 15.6037i | −0.647573 | + | 0.681003i | ||||
\(526\) | −5.23279 | + | 13.3329i | −0.228160 | + | 0.581343i | ||||
\(527\) | 9.32496 | + | 40.8553i | 0.406202 | + | 1.77969i | ||||
\(528\) | −1.95538 | + | 2.36214i | −0.0850969 | + | 0.102799i | ||||
\(529\) | 17.7700 | + | 8.55756i | 0.772607 | + | 0.372068i | ||||
\(530\) | −2.07612 | − | 5.28987i | −0.0901809 | − | 0.229777i | ||||
\(531\) | −24.7470 | + | 28.8071i | −1.07393 | + | 1.25012i | ||||
\(532\) | −0.956236 | + | 0.0774540i | −0.0414581 | + | 0.00335806i | ||||
\(533\) | 16.1516 | − | 11.0120i | 0.699603 | − | 0.476982i | ||||
\(534\) | 16.9469 | − | 2.23859i | 0.733365 | − | 0.0968732i | ||||
\(535\) | −24.8266 | − | 23.0357i | −1.07335 | − | 0.995921i | ||||
\(536\) | −0.554921 | + | 7.40491i | −0.0239689 | + | 0.319843i | ||||
\(537\) | −8.31147 | + | 10.0404i | −0.358667 | + | 0.433276i | ||||
\(538\) | 7.93027 | − | 13.7356i | 0.341898 | − | 0.592185i | ||||
\(539\) | 3.47014 | + | 14.4018i | 0.149469 | + | 0.620329i | ||||
\(540\) | 22.8096 | − | 2.16890i | 0.981567 | − | 0.0933346i | ||||
\(541\) | 23.6027 | − | 3.55754i | 1.01476 | − | 0.152951i | 0.379454 | − | 0.925210i | \(-0.376112\pi\) |
0.635307 | + | 0.772260i | \(0.280874\pi\) | |||||||
\(542\) | −6.82707 | + | 3.28775i | −0.293248 | + | 0.141221i | ||||
\(543\) | 9.99226 | − | 16.5993i | 0.428809 | − | 0.712346i | ||||
\(544\) | 28.7723 | − | 13.8560i | 1.23360 | − | 0.594071i | ||||
\(545\) | −3.29952 | − | 44.0291i | −0.141336 | − | 1.88600i | ||||
\(546\) | −6.71079 | − | 7.41249i | −0.287195 | − | 0.317225i | ||||
\(547\) | 1.79938 | − | 24.0111i | 0.0769361 | − | 1.02664i | −0.816469 | − | 0.577389i | \(-0.804072\pi\) |
0.893405 | − | 0.449252i | \(-0.148309\pi\) | |||||||
\(548\) | −1.78647 | − | 4.55185i | −0.0763141 | − | 0.194445i | ||||
\(549\) | 23.4388 | − | 37.3747i | 1.00034 | − | 1.59511i | ||||
\(550\) | −2.77648 | + | 7.07435i | −0.118389 | + | 0.301651i | ||||
\(551\) | −1.82469 | + | 1.69307i | −0.0777346 | + | 0.0721272i | ||||
\(552\) | 2.85077 | + | 7.67287i | 0.121337 | + | 0.326579i | ||||
\(553\) | 5.43706 | + | 17.2568i | 0.231207 | + | 0.733835i | ||||
\(554\) | 8.21509 | + | 1.23823i | 0.349026 | + | 0.0526071i | ||||
\(555\) | 8.95573 | − | 2.58431i | 0.380150 | − | 0.109698i | ||||
\(556\) | −1.71987 | − | 7.53526i | −0.0729389 | − | 0.319566i | ||||
\(557\) | 8.84555 | + | 15.3209i | 0.374798 | + | 0.649169i | 0.990297 | − | 0.138968i | \(-0.0443787\pi\) |
−0.615499 | + | 0.788138i | \(0.711045\pi\) | |||||||
\(558\) | 14.1965 | + | 10.4584i | 0.600984 | + | 0.442741i | ||||
\(559\) | 6.61303 | + | 28.9736i | 0.279701 | + | 1.22545i | ||||
\(560\) | −2.07139 | − | 6.57443i | −0.0875321 | − | 0.277820i | ||||
\(561\) | −19.9700 | − | 0.364809i | −0.843136 | − | 0.0154023i | ||||
\(562\) | 1.26540 | − | 5.54406i | 0.0533775 | − | 0.233862i | ||||
\(563\) | 1.91358 | + | 4.87573i | 0.0806479 | + | 0.205488i | 0.965510 | − | 0.260365i | \(-0.0838429\pi\) |
−0.884862 | + | 0.465853i | \(0.845748\pi\) | |||||||
\(564\) | −16.0958 | + | 10.5485i | −0.677756 | + | 0.444173i | ||||
\(565\) | 6.61709 | − | 2.04110i | 0.278383 | − | 0.0858698i | ||||
\(566\) | −0.208715 | + | 0.914440i | −0.00877294 | + | 0.0384368i | ||||
\(567\) | −22.6987 | + | 7.19498i | −0.953257 | + | 0.302161i | ||||
\(568\) | −1.05310 | − | 4.61395i | −0.0441873 | − | 0.193597i | ||||
\(569\) | −23.5028 | − | 40.7080i | −0.985288 | − | 1.70657i | −0.640649 | − | 0.767834i | \(-0.721335\pi\) |
−0.344639 | − | 0.938735i | \(-0.611999\pi\) | |||||||
\(570\) | 1.00300 | + | 0.329565i | 0.0420111 | + | 0.0138040i | ||||
\(571\) | −34.9467 | − | 10.7796i | −1.46247 | − | 0.451113i | −0.541487 | − | 0.840709i | \(-0.682138\pi\) |
−0.920986 | + | 0.389596i | \(0.872615\pi\) | |||||||
\(572\) | 7.70758 | + | 3.71178i | 0.322270 | + | 0.155197i | ||||
\(573\) | −9.50781 | − | 4.79459i | −0.397194 | − | 0.200297i | ||||
\(574\) | 12.8575 | − | 5.13576i | 0.536660 | − | 0.214362i | ||||
\(575\) | −5.30317 | − | 6.64996i | −0.221157 | − | 0.277323i | ||||
\(576\) | 3.35953 | − | 7.71841i | 0.139980 | − | 0.321600i | ||||
\(577\) | 10.6479 | − | 27.1303i | 0.443276 | − | 1.12945i | −0.518370 | − | 0.855156i | \(-0.673461\pi\) |
0.961646 | − | 0.274293i | \(-0.0884437\pi\) | |||||||
\(578\) | 8.73924 | + | 4.20859i | 0.363504 | + | 0.175054i | ||||
\(579\) | −2.62083 | − | 46.3090i | −0.108918 | − | 1.92454i | ||||
\(580\) | −35.4117 | − | 24.1433i | −1.47039 | − | 1.00250i | ||||
\(581\) | −2.90020 | − | 18.4854i | −0.120320 | − | 0.766906i | ||||
\(582\) | −0.754453 | − | 0.726120i | −0.0312731 | − | 0.0300986i | ||||
\(583\) | −4.17477 | − | 2.84631i | −0.172901 | − | 0.117882i | ||||
\(584\) | 8.95531 | − | 2.76235i | 0.370574 | − | 0.114307i | ||||
\(585\) | −8.83157 | − | 25.1691i | −0.365141 | − | 1.04061i | ||||
\(586\) | −16.5311 | + | 2.49166i | −0.682892 | + | 0.102929i | ||||
\(587\) | −11.1818 | + | 19.3674i | −0.461521 | + | 0.799377i | −0.999037 | − | 0.0438762i | \(-0.986029\pi\) |
0.537516 | + | 0.843253i | \(0.319363\pi\) | |||||||
\(588\) | 8.49079 | + | 14.9201i | 0.350154 | + | 0.615293i | ||||
\(589\) | −0.984763 | − | 1.70566i | −0.0405765 | − | 0.0702805i | ||||
\(590\) | −18.7858 | − | 23.5567i | −0.773400 | − | 0.969814i | ||||
\(591\) | 18.8772 | − | 2.49358i | 0.776506 | − | 0.102572i | ||||
\(592\) | −0.321682 | + | 1.40938i | −0.0132210 | + | 0.0579252i | ||||
\(593\) | −2.60880 | + | 34.8120i | −0.107130 | + | 1.42956i | 0.641782 | + | 0.766887i | \(0.278195\pi\) |
−0.748913 | + | 0.662669i | \(0.769424\pi\) | |||||||
\(594\) | −6.46459 | + | 5.37034i | −0.265245 | + | 0.220348i | ||||
\(595\) | 25.0679 | − | 37.2478i | 1.02768 | − | 1.52701i | ||||
\(596\) | −1.55802 | + | 20.7903i | −0.0638190 | + | 0.851606i | ||||
\(597\) | −14.4262 | − | 7.27483i | −0.590426 | − | 0.297739i | ||||
\(598\) | 3.26346 | − | 2.22499i | 0.133453 | − | 0.0909867i | ||||
\(599\) | 2.25996 | − | 0.340634i | 0.0923394 | − | 0.0139179i | −0.102710 | − | 0.994711i | \(-0.532751\pi\) |
0.195049 | + | 0.980793i | \(0.437513\pi\) | |||||||
\(600\) | −1.97447 | + | 21.1546i | −0.0806074 | + | 0.863633i | ||||
\(601\) | −6.83095 | + | 1.02960i | −0.278640 | + | 0.0419983i | −0.286876 | − | 0.957968i | \(-0.592617\pi\) |
0.00823531 | + | 0.999966i | \(0.497379\pi\) | |||||||
\(602\) | 0.126766 | + | 21.0481i | 0.00516658 | + | 0.857855i | ||||
\(603\) | 2.20138 | − | 8.24428i | 0.0896471 | − | 0.335733i | ||||
\(604\) | −11.9788 | + | 8.16703i | −0.487412 | + | 0.332312i | ||||
\(605\) | −4.51924 | − | 19.8001i | −0.183733 | − | 0.804989i | ||||
\(606\) | 1.30662 | + | 6.24868i | 0.0530779 | + | 0.253835i | ||||
\(607\) | −8.53274 | −0.346333 | −0.173167 | − | 0.984893i | \(-0.555400\pi\) | ||||
−0.173167 | + | 0.984893i | \(0.555400\pi\) | |||||||
\(608\) | −1.10023 | + | 1.02087i | −0.0446204 | + | 0.0414016i | ||||
\(609\) | 41.2599 | + | 16.7791i | 1.67194 | + | 0.679924i | ||||
\(610\) | 25.6574 | + | 23.8066i | 1.03884 | + | 0.963900i | ||||
\(611\) | 16.4228 | + | 15.2382i | 0.664397 | + | 0.616471i | ||||
\(612\) | −22.3519 | + | 6.00997i | −0.903521 | + | 0.242939i | ||||
\(613\) | 8.78809 | + | 1.32459i | 0.354948 | + | 0.0534997i | 0.324096 | − | 0.946024i | \(-0.394940\pi\) |
0.0308517 | + | 0.999524i | \(0.490178\pi\) | |||||||
\(614\) | −25.4463 | + | 7.84916i | −1.02693 | + | 0.316766i | ||||
\(615\) | 36.9277 | + | 0.674590i | 1.48907 | + | 0.0272021i | ||||
\(616\) | 11.4831 | + | 9.04483i | 0.462665 | + | 0.364426i | ||||
\(617\) | −8.85235 | + | 8.21378i | −0.356382 | + | 0.330674i | −0.837963 | − | 0.545728i | \(-0.816253\pi\) |
0.481581 | + | 0.876402i | \(0.340063\pi\) | |||||||
\(618\) | −5.30753 | − | 25.3823i | −0.213500 | − | 1.02102i | ||||
\(619\) | −6.47738 | −0.260348 | −0.130174 | − | 0.991491i | \(-0.541554\pi\) | ||||
−0.130174 | + | 0.991491i | \(0.541554\pi\) | |||||||
\(620\) | 24.8590 | − | 23.0657i | 0.998360 | − | 0.926342i | ||||
\(621\) | −1.58766 | − | 9.27113i | −0.0637104 | − | 0.372038i | ||||
\(622\) | −0.893918 | + | 1.12094i | −0.0358428 | + | 0.0449455i | ||||
\(623\) | 5.29552 | + | 33.7529i | 0.212161 | + | 1.35228i | ||||
\(624\) | 4.07867 | + | 0.691173i | 0.163278 | + | 0.0276691i | ||||
\(625\) | 5.87804 | + | 25.7534i | 0.235122 | + | 1.03013i | ||||
\(626\) | −17.9240 | + | 2.70161i | −0.716388 | + | 0.107978i | ||||
\(627\) | 0.901922 | − | 0.260263i | 0.0360193 | − | 0.0103939i | ||||
\(628\) | −6.25455 | − | 0.942722i | −0.249584 | − | 0.0376187i | ||||
\(629\) | −8.48358 | + | 4.08548i | −0.338262 | + | 0.162899i | ||||
\(630\) | −2.24451 | − | 18.7579i | −0.0894234 | − | 0.747332i | ||||
\(631\) | 11.0959 | + | 5.34350i | 0.441720 | + | 0.212721i | 0.641505 | − | 0.767118i | \(-0.278310\pi\) |
−0.199785 | + | 0.979840i | \(0.564024\pi\) | |||||||
\(632\) | 14.7509 | + | 10.0570i | 0.586759 | + | 0.400045i | ||||
\(633\) | 31.9826 | + | 0.584252i | 1.27119 | + | 0.0232219i | ||||
\(634\) | 0.613742 | − | 8.18982i | 0.0243748 | − | 0.325259i | ||||
\(635\) | 15.1168 | + | 18.9558i | 0.599891 | + | 0.752239i | ||||
\(636\) | −5.56268 | − | 1.82778i | −0.220575 | − | 0.0724761i | ||||
\(637\) | 14.4851 | − | 13.7686i | 0.573922 | − | 0.545532i | ||||
\(638\) | 15.7206 | 0.622384 | ||||||||
\(639\) | 0.208068 | + | 5.43444i | 0.00823105 | + | 0.214983i | ||||
\(640\) | −24.6425 | − | 16.8010i | −0.974081 | − | 0.664117i | ||||
\(641\) | 2.91444 | − | 12.7690i | 0.115113 | − | 0.504345i | −0.884193 | − | 0.467121i | \(-0.845291\pi\) |
0.999307 | − | 0.0372242i | \(-0.0118516\pi\) | |||||||
\(642\) | 14.2716 | − | 1.88520i | 0.563256 | − | 0.0744029i | ||||
\(643\) | 0.193775 | + | 2.58575i | 0.00764175 | + | 0.101972i | 0.999720 | − | 0.0236463i | \(-0.00752756\pi\) |
−0.992079 | + | 0.125618i | \(0.959909\pi\) | |||||||
\(644\) | −6.29744 | + | 2.51544i | −0.248154 | + | 0.0991221i | ||||
\(645\) | −21.4649 | + | 51.8846i | −0.845180 | + | 2.04295i | ||||
\(646\) | −1.05460 | − | 0.158955i | −0.0414926 | − | 0.00625400i | ||||
\(647\) | 0.519768 | + | 6.93582i | 0.0204342 | + | 0.272675i | 0.998057 | + | 0.0623093i | \(0.0198465\pi\) |
−0.977623 | + | 0.210366i | \(0.932534\pi\) | |||||||
\(648\) | −13.2020 | + | 19.4361i | −0.518622 | + | 0.763524i | ||||
\(649\) | −25.5999 | − | 7.89651i | −1.00488 | − | 0.309965i | ||||
\(650\) | 10.1379 | − | 1.52804i | 0.397640 | − | 0.0599346i | ||||
\(651\) | −20.2079 | + | 28.8736i | −0.792009 | + | 1.13164i | ||||
\(652\) | 0.0155939 | + | 0.00235041i | 0.000610706 | + | 9.20492e-5i | ||||
\(653\) | 15.5804 | + | 7.50315i | 0.609710 | + | 0.293621i | 0.713146 | − | 0.701015i | \(-0.247270\pi\) |
−0.103436 | + | 0.994636i | \(0.532984\pi\) | |||||||
\(654\) | 15.3106 | + | 10.8535i | 0.598693 | + | 0.424405i | ||||
\(655\) | 31.9332 | 1.24774 | ||||||||
\(656\) | −2.86405 | + | 4.96069i | −0.111823 | + | 0.193682i | ||||
\(657\) | −10.7006 | + | 1.21508i | −0.417470 | + | 0.0474047i | ||||
\(658\) | 9.01718 | + | 13.0561i | 0.351526 | + | 0.508981i | ||||
\(659\) | 26.0403 | + | 24.1618i | 1.01438 | + | 0.941211i | 0.998278 | − | 0.0586588i | \(-0.0186824\pi\) |
0.0161067 | + | 0.999870i | \(0.494873\pi\) | |||||||
\(660\) | 7.82452 | + | 14.1429i | 0.304569 | + | 0.550511i | ||||
\(661\) | 3.98485 | + | 10.1532i | 0.154993 | + | 0.394915i | 0.987187 | − | 0.159570i | \(-0.0510107\pi\) |
−0.832194 | + | 0.554484i | \(0.812915\pi\) | |||||||
\(662\) | −6.40185 | − | 16.3116i | −0.248815 | − | 0.633970i | ||||
\(663\) | 13.0441 | + | 23.5774i | 0.506592 | + | 0.915669i | ||||
\(664\) | −13.5346 | − | 12.5583i | −0.525243 | − | 0.487355i | ||||
\(665\) | −0.609817 | + | 2.02009i | −0.0236477 | + | 0.0783359i | ||||
\(666\) | −1.58123 | + | 3.63281i | −0.0612713 | + | 0.140769i | ||||
\(667\) | −8.79730 | + | 15.2374i | −0.340633 | + | 0.589993i | ||||
\(668\) | 6.49649 | 0.251357 | ||||||||
\(669\) | 25.5485 | + | 18.1110i | 0.987764 | + | 0.700211i | ||||
\(670\) | 6.09955 | + | 2.93739i | 0.235646 | + | 0.113481i | ||||
\(671\) | 30.7732 | + | 4.63831i | 1.18799 | + | 0.179060i | ||||
\(672\) | 24.8784 | + | 10.1173i | 0.959706 | + | 0.390283i | ||||
\(673\) | −45.4504 | + | 6.85055i | −1.75199 | + | 0.264069i | −0.945134 | − | 0.326684i | \(-0.894069\pi\) |
−0.806852 | + | 0.590753i | \(0.798831\pi\) | |||||||
\(674\) | 9.71294 | + | 2.99605i | 0.374129 | + | 0.115403i | ||||
\(675\) | 6.72844 | − | 23.4698i | 0.258978 | − | 0.903353i | ||||
\(676\) | 0.513086 | + | 6.84666i | 0.0197341 | + | 0.263333i | ||||
\(677\) | 13.1171 | + | 1.97708i | 0.504130 | + | 0.0759853i | 0.396183 | − | 0.918171i | \(-0.370334\pi\) |
0.107946 | + | 0.994157i | \(0.465573\pi\) | |||||||
\(678\) | −1.12521 | + | 2.71984i | −0.0432135 | + | 0.104455i | ||||
\(679\) | 1.41424 | − | 1.54272i | 0.0542735 | − | 0.0592040i | ||||
\(680\) | −3.31069 | − | 44.1781i | −0.126959 | − | 1.69415i | ||||
\(681\) | −0.596409 | + | 0.0787822i | −0.0228545 | + | 0.00301894i | ||||
\(682\) | −2.76787 | + | 12.1268i | −0.105987 | + | 0.464361i | ||||
\(683\) | −23.4530 | − | 15.9900i | −0.897403 | − | 0.611839i | 0.0243129 | − | 0.999704i | \(-0.492260\pi\) |
−0.921716 | + | 0.387865i | \(0.873213\pi\) | |||||||
\(684\) | 0.920581 | − | 0.579555i | 0.0351993 | − | 0.0221598i | ||||
\(685\) | −10.7553 | −0.410938 | ||||||||
\(686\) | 12.1282 | − | 7.29750i | 0.463056 | − | 0.278620i | ||||
\(687\) | −4.51708 | − | 1.48421i | −0.172337 | − | 0.0566263i | ||||
\(688\) | −5.42951 | − | 6.80839i | −0.206998 | − | 0.259567i | ||||
\(689\) | −0.509391 | + | 6.79736i | −0.0194063 | + | 0.258959i | ||||
\(690\) | 7.46133 | + | 0.136302i | 0.284048 | + | 0.00518894i | ||||
\(691\) | −10.3875 | − | 7.08206i | −0.395158 | − | 0.269414i | 0.349397 | − | 0.936975i | \(-0.386386\pi\) |
−0.744556 | + | 0.667560i | \(0.767339\pi\) | |||||||
\(692\) | 18.5128 | + | 8.91528i | 0.703750 | + | 0.338908i | ||||
\(693\) | −11.0442 | − | 12.6562i | −0.419536 | − | 0.480769i | ||||
\(694\) | 3.17985 | − | 1.53134i | 0.120706 | − | 0.0581288i | ||||
\(695\) | −16.8102 | − | 2.53373i | −0.637646 | − | 0.0961097i | ||||
\(696\) | 42.2273 | − | 12.1853i | 1.60062 | − | 0.461884i | ||||
\(697\) | −36.8933 | + | 5.56076i | −1.39743 | + | 0.210629i | ||||
\(698\) | −3.18700 | − | 13.9632i | −0.120630 | − | 0.528514i | ||||
\(699\) | 16.6069 | + | 2.81420i | 0.628130 | + | 0.106443i | ||||
\(700\) | −17.5603 | − | 1.20966i | −0.663718 | − | 0.0457208i | ||||
\(701\) | −18.1840 | + | 22.8020i | −0.686800 | + | 0.861220i | −0.995961 | − | 0.0897896i | \(-0.971381\pi\) |
0.309160 | + | 0.951010i | \(0.399952\pi\) | |||||||
\(702\) | 10.6348 | + | 3.93023i | 0.401384 | + | 0.148337i | ||||
\(703\) | 0.324407 | − | 0.301005i | 0.0122352 | − | 0.0113526i | ||||
\(704\) | 5.93818 | 0.223804 | ||||||||
\(705\) | 8.66359 | + | 41.4320i | 0.326290 | + | 1.56042i | ||||
\(706\) | 15.8909 | − | 14.7446i | 0.598062 | − | 0.554921i | ||||
\(707\) | −12.4221 | + | 2.91407i | −0.467179 | + | 0.109595i | ||||
\(708\) | −31.0400 | − | 0.567033i | −1.16655 | − | 0.0213104i | ||||
\(709\) | −19.0092 | + | 5.86355i | −0.713904 | + | 0.220210i | −0.630370 | − | 0.776295i | \(-0.717097\pi\) |
−0.0835337 | + | 0.996505i | \(0.526621\pi\) | |||||||
\(710\) | −4.26653 | − | 0.643076i | −0.160120 | − | 0.0241342i | ||||
\(711\) | −14.5193 | − | 14.4941i | −0.544518 | − | 0.543573i | ||||
\(712\) | 24.7130 | + | 22.9303i | 0.926160 | + | 0.859351i | ||||
\(713\) | −10.2052 | − | 9.46902i | −0.382187 | − | 0.354618i | ||||
\(714\) | 5.40144 | + | 18.3037i | 0.202144 | + | 0.684999i | ||||
\(715\) | 13.7933 | − | 12.7983i | 0.515839 | − | 0.478629i | ||||
\(716\) | −10.6551 | −0.398199 | ||||||||
\(717\) | 2.08465 | + | 9.96947i | 0.0778529 | + | 0.372317i | ||||
\(718\) | −2.19331 | − | 9.60950i | −0.0818534 | − | 0.358623i | ||||
\(719\) | 18.8420 | − | 12.8463i | 0.702690 | − | 0.479086i | −0.158507 | − | 0.987358i | \(-0.550668\pi\) |
0.861196 | + | 0.508272i | \(0.169716\pi\) | |||||||
\(720\) | 5.53151 | + | 5.52191i | 0.206147 | + | 0.205790i | ||||
\(721\) | 50.4586 | − | 11.8370i | 1.87918 | − | 0.440833i | ||||
\(722\) | −14.3093 | + | 2.15678i | −0.532536 | + | 0.0802669i | ||||
\(723\) | −3.94880 | + | 42.3077i | −0.146857 | + | 1.57344i | ||||
\(724\) | 15.6614 | − | 2.36058i | 0.582053 | − | 0.0877303i | ||||
\(725\) | −37.7343 | + | 25.7268i | −1.40142 | + | 0.955470i | ||||
\(726\) | 7.70800 | + | 3.88698i | 0.286071 | + | 0.144259i | ||||
\(727\) | 1.44103 | − | 19.2292i | 0.0534449 | − | 0.713172i | −0.904546 | − | 0.426375i | \(-0.859790\pi\) |
0.957991 | − | 0.286797i | \(-0.0925906\pi\) | |||||||
\(728\) | 2.82158 | − | 19.5168i | 0.104575 | − | 0.723340i | ||||
\(729\) | 19.0421 | − | 19.1416i | 0.705262 | − | 0.708946i | ||||
\(730\) | 0.638505 | − | 8.52026i | 0.0236321 | − | 0.315349i | ||||
\(731\) | 12.6216 | − | 55.2990i | 0.466828 | − | 2.04531i | ||||
\(732\) | 35.7531 | − | 4.72278i | 1.32147 | − | 0.174559i | ||||
\(733\) | −15.5802 | − | 19.5370i | −0.575469 | − | 0.721615i | 0.405864 | − | 0.913934i | \(-0.366971\pi\) |
−0.981333 | + | 0.192319i | \(0.938399\pi\) | |||||||
\(734\) | 2.20306 | + | 3.81581i | 0.0813164 | + | 0.140844i | ||||
\(735\) | 37.3711 | − | 5.39526i | 1.37846 | − | 0.199007i | ||||
\(736\) | −5.30450 | + | 9.18766i | −0.195526 | + | 0.338662i | ||||
\(737\) | 5.95227 | − | 0.897160i | 0.219255 | − | 0.0330473i | ||||
\(738\) | −10.2299 | + | 11.9083i | −0.376569 | + | 0.438350i | ||||
\(739\) | 14.4981 | − | 4.47206i | 0.533320 | − | 0.164507i | −0.0163859 | − | 0.999866i | \(-0.505216\pi\) |
0.549706 | + | 0.835358i | \(0.314740\pi\) | |||||||
\(740\) | 6.29574 | + | 4.29236i | 0.231436 | + | 0.157790i | ||||
\(741\) | −0.912440 | − | 0.878174i | −0.0335193 | − | 0.0322605i | ||||
\(742\) | −1.39520 | + | 4.62177i | −0.0512194 | + | 0.169670i | ||||
\(743\) | −42.0960 | − | 28.7005i | −1.54435 | − | 1.05292i | −0.972597 | − | 0.232496i | \(-0.925311\pi\) |
−0.571754 | − | 0.820425i | \(-0.693737\pi\) | |||||||
\(744\) | 1.96493 | + | 34.7195i | 0.0720377 | + | 1.27288i | ||||
\(745\) | 41.3154 | + | 19.8964i | 1.51368 | + | 0.728949i | ||||
\(746\) | −6.38555 | + | 16.2701i | −0.233792 | + | 0.595691i | ||||
\(747\) | 12.6139 | + | 17.0601i | 0.461517 | + | 0.624198i | ||||
\(748\) | −10.1801 | − | 12.7655i | −0.372222 | − | 0.466752i | ||||
\(749\) | 4.45956 | + | 28.4246i | 0.162949 | + | 1.03861i | ||||
\(750\) | −1.10903 | − | 0.559258i | −0.0404959 | − | 0.0204212i | ||||
\(751\) | −25.9384 | − | 12.4913i | −0.946506 | − | 0.455813i | −0.104046 | − | 0.994572i | \(-0.533179\pi\) |
−0.842460 | + | 0.538759i | \(0.818893\pi\) | |||||||
\(752\) | −6.27305 | − | 1.93498i | −0.228755 | − | 0.0705615i | ||||
\(753\) | 18.0161 | + | 5.91971i | 0.656544 | + | 0.215726i | ||||
\(754\) | −10.6040 | − | 18.3666i | −0.386174 | − | 0.668872i | ||||
\(755\) | 7.09585 | + | 31.0889i | 0.258244 | + | 1.13144i | ||||
\(756\) | −16.3630 | − | 10.5430i | −0.595115 | − | 0.383446i | ||||
\(757\) | 0.729900 | − | 3.19790i | 0.0265287 | − | 0.116230i | −0.959930 | − | 0.280240i | \(-0.909586\pi\) |
0.986459 | + | 0.164010i | \(0.0524431\pi\) | |||||||
\(758\) | −10.3842 | + | 3.20311i | −0.377172 | + | 0.116342i | ||||
\(759\) | 5.54971 | − | 3.63705i | 0.201442 | − | 0.132016i | ||||
\(760\) | 0.760690 | + | 1.93821i | 0.0275931 | + | 0.0703061i | ||||
\(761\) | 7.60523 | − | 33.3207i | 0.275689 | − | 1.20787i | −0.627495 | − | 0.778621i | \(-0.715920\pi\) |
0.903184 | − | 0.429253i | \(-0.141223\pi\) | |||||||
\(762\) | −10.3040 | − | 0.188231i | −0.373273 | − | 0.00681889i | ||||
\(763\) | −20.9431 | + | 31.1190i | −0.758192 | + | 1.12658i | ||||
\(764\) | −1.93697 | − | 8.48643i | −0.0700772 | − | 0.307028i | ||||
\(765\) | −5.65609 | + | 50.5940i | −0.204496 | + | 1.82923i | ||||
\(766\) | −4.65501 | − | 8.06271i | −0.168192 | − | 0.291317i | ||||
\(767\) | 8.04218 | + | 35.2351i | 0.290386 | + | 1.27227i | ||||
\(768\) | 21.5193 | − | 6.20974i | 0.776512 | − | 0.224075i | ||||
\(769\) | 44.2631 | + | 6.67159i | 1.59617 | + | 0.240584i | 0.886081 | − | 0.463531i | \(-0.153418\pi\) |
0.710087 | + | 0.704114i | \(0.248656\pi\) | |||||||
\(770\) | 11.5009 | − | 6.73274i | 0.414465 | − | 0.242631i | ||||
\(771\) | −7.90808 | − | 21.2846i | −0.284803 | − | 0.766547i | ||||
\(772\) | 27.7950 | − | 25.7900i | 1.00036 | − | 0.928202i | ||||
\(773\) | 14.4137 | − | 36.7255i | 0.518425 | − | 1.32092i | −0.396772 | − | 0.917917i | \(-0.629870\pi\) |
0.915197 | − | 0.403007i | \(-0.132035\pi\) | |||||||
\(774\) | −11.1705 | − | 21.0912i | −0.401514 | − | 0.758108i | ||||
\(775\) | −13.2019 | − | 33.6378i | −0.474226 | − | 1.20831i | ||||
\(776\) | 0.154324 | − | 2.05932i | 0.00553992 | − | 0.0739251i | ||||
\(777\) | −7.33547 | − | 2.98311i | −0.263158 | − | 0.107018i | ||||
\(778\) | −0.410918 | − | 5.48331i | −0.0147321 | − | 0.196586i | ||||
\(779\) | 1.57987 | − | 0.760824i | 0.0566046 | − | 0.0272594i | ||||
\(780\) | 11.2455 | − | 18.6813i | 0.402654 | − | 0.668896i | ||||
\(781\) | −3.45649 | + | 1.66456i | −0.123683 | + | 0.0595625i | ||||
\(782\) | −7.45436 | + | 1.12356i | −0.266567 | + | 0.0401786i | ||||
\(783\) | −50.2782 | + | 4.78082i | −1.79680 | + | 0.170852i | ||||
\(784\) | −2.07363 | + | 5.47658i | −0.0740581 | + | 0.195592i | ||||
\(785\) | −6.95615 | + | 12.0484i | −0.248275 | + | 0.430026i | ||||
\(786\) | −8.65532 | + | 10.4558i | −0.308725 | + | 0.372946i | ||||
\(787\) | 1.25436 | − | 16.7383i | 0.0447132 | − | 0.596656i | −0.929177 | − | 0.369636i | \(-0.879483\pi\) |
0.973890 | − | 0.227020i | \(-0.0728984\pi\) | |||||||
\(788\) | 11.4104 | + | 10.5873i | 0.406479 | + | 0.377158i | ||||
\(789\) | 32.1807 | − | 4.25088i | 1.14566 | − | 0.151335i | ||||
\(790\) | 13.4484 | − | 9.16895i | 0.478472 | − | 0.326217i | ||||
\(791\) | −5.48913 | − | 2.11626i | −0.195171 | − | 0.0752457i | ||||
\(792\) | −16.2883 | − | 3.06727i | −0.578780 | − | 0.108991i | ||||
\(793\) | −15.3383 | − | 39.0814i | −0.544680 | − | 1.38782i | ||||
\(794\) | 9.48632 | + | 4.56837i | 0.336657 | + | 0.162125i | ||||
\(795\) | −8.21229 | + | 9.92062i | −0.291260 | + | 0.351848i | ||||
\(796\) | −2.93897 | − | 12.8765i | −0.104169 | − | 0.456395i | ||||
\(797\) | 1.94594 | − | 4.95817i | 0.0689287 | − | 0.175627i | −0.892258 | − | 0.451526i | \(-0.850880\pi\) |
0.961187 | + | 0.275898i | \(0.0889752\pi\) | |||||||
\(798\) | −0.496146 | − | 0.747205i | −0.0175634 | − | 0.0264508i | ||||
\(799\) | −15.6217 | − | 39.8033i | −0.552655 | − | 1.40814i | ||||
\(800\) | −22.7526 | + | 15.5125i | −0.804426 | + | 0.548449i | ||||
\(801\) | −23.0319 | − | 31.1504i | −0.813791 | − | 1.10065i | ||||
\(802\) | −3.87270 | − | 6.70771i | −0.136750 | − | 0.236858i | ||||
\(803\) | −3.79850 | − | 6.57919i | −0.134046 | − | 0.232175i | ||||
\(804\) | 6.33901 | − | 2.91130i | 0.223560 | − | 0.102673i | ||||
\(805\) | 0.0898286 | + | 14.9151i | 0.00316604 | + | 0.525687i | ||||
\(806\) | 16.0350 | − | 4.94614i | 0.564808 | − | 0.174220i | ||||
\(807\) | −35.9387 | − | 0.656522i | −1.26510 | − | 0.0231107i | ||||
\(808\) | −7.84974 | + | 9.84326i | −0.276153 | + | 0.346285i | ||||
\(809\) | −22.7980 | − | 3.43625i | −0.801535 | − | 0.120812i | −0.264515 | − | 0.964382i | \(-0.585212\pi\) |
−0.537020 | + | 0.843570i | \(0.680450\pi\) | |||||||
\(810\) | 12.0977 | + | 17.6780i | 0.425070 | + | 0.621142i | ||||
\(811\) | −1.04991 | + | 4.59995i | −0.0368673 | + | 0.161526i | −0.990011 | − | 0.140993i | \(-0.954970\pi\) |
0.953143 | + | 0.302519i | \(0.0978276\pi\) | |||||||
\(812\) | 10.9417 | + | 34.7282i | 0.383979 | + | 1.21872i | ||||
\(813\) | 14.0098 | + | 9.93134i | 0.491345 | + | 0.348307i | ||||
\(814\) | −2.79492 | −0.0979617 | ||||||||
\(815\) | 0.0173432 | − | 0.0300393i | 0.000607505 | − | 0.00105223i | ||||
\(816\) | −6.44128 | − | 4.56613i | −0.225490 | − | 0.159846i | ||||
\(817\) | 0.199217 | + | 2.65837i | 0.00696972 | + | 0.0930044i | ||||
\(818\) | −14.8296 | + | 18.5957i | −0.518505 | + | 0.650184i | ||||
\(819\) | −7.33678 | + | 21.4401i | −0.256368 | + | 0.749178i | ||||
\(820\) | 18.8246 | + | 23.6053i | 0.657385 | + | 0.824334i | ||||
\(821\) | −15.2143 | + | 14.1168i | −0.530981 | + | 0.492678i | −0.899487 | − | 0.436947i | \(-0.856060\pi\) |
0.368506 | + | 0.929625i | \(0.379869\pi\) | |||||||
\(822\) | 2.91515 | − | 3.52157i | 0.101678 | − | 0.122829i | ||||
\(823\) | 14.5774 | − | 9.93872i | 0.508137 | − | 0.346442i | −0.281958 | − | 0.959427i | \(-0.590984\pi\) |
0.790095 | + | 0.612985i | \(0.210031\pi\) | |||||||
\(824\) | 31.8858 | − | 39.9835i | 1.11079 | − | 1.39289i | ||||
\(825\) | 17.0748 | − | 2.25549i | 0.594470 | − | 0.0785260i | ||||
\(826\) | 0.154161 | + | 25.5968i | 0.00536395 | + | 0.890626i | ||||
\(827\) | −6.00694 | − | 2.89279i | −0.208882 | − | 0.100592i | 0.326518 | − | 0.945191i | \(-0.394125\pi\) |
−0.535400 | + | 0.844599i | \(0.679839\pi\) | |||||||
\(828\) | 5.01051 | − | 5.83255i | 0.174127 | − | 0.202695i | ||||
\(829\) | 12.7172 | − | 3.92275i | 0.441688 | − | 0.136243i | −0.0659315 | − | 0.997824i | \(-0.521002\pi\) |
0.507619 | + | 0.861582i | \(0.330526\pi\) | |||||||
\(830\) | −15.1660 | + | 7.30357i | −0.526420 | + | 0.253511i | ||||
\(831\) | −6.55742 | − | 17.6493i | −0.227474 | − | 0.612248i | ||||
\(832\) | −4.00546 | − | 6.93766i | −0.138864 | − | 0.240520i | ||||
\(833\) | −36.3104 | + | 11.6811i | −1.25808 | + | 0.404725i | ||||
\(834\) | 5.38591 | − | 4.81735i | 0.186499 | − | 0.166811i | ||||
\(835\) | 5.22038 | − | 13.3013i | 0.180659 | − | 0.460311i | ||||
\(836\) | 0.634037 | + | 0.432279i | 0.0219286 | + | 0.0149507i | ||||
\(837\) | 5.16440 | − | 39.6263i | 0.178508 | − | 1.36968i | ||||
\(838\) | −1.46028 | + | 19.4861i | −0.0504445 | + | 0.673135i | ||||
\(839\) | 11.3972 | − | 7.77050i | 0.393476 | − | 0.268267i | −0.350379 | − | 0.936608i | \(-0.613947\pi\) |
0.743856 | + | 0.668340i | \(0.232995\pi\) | |||||||
\(840\) | 25.6741 | − | 26.9995i | 0.885841 | − | 0.931571i | ||||
\(841\) | 54.0957 | + | 36.8818i | 1.86537 | + | 1.27179i | ||||
\(842\) | −0.940336 | + | 1.17914i | −0.0324061 | + | 0.0406360i | ||||
\(843\) | −12.3824 | + | 3.57313i | −0.426472 | + | 0.123065i | ||||
\(844\) | 16.3037 | + | 20.4442i | 0.561198 | + | 0.703720i | ||||
\(845\) | 14.4306 | + | 4.45124i | 0.496426 | + | 0.153127i | ||||
\(846\) | −15.9142 | − | 8.39322i | −0.547141 | − | 0.288565i | ||||
\(847\) | −7.39242 | + | 15.5900i | −0.254007 | + | 0.535679i | ||||
\(848\) | −0.729719 | − | 1.85929i | −0.0250587 | − | 0.0638484i | ||||
\(849\) | 2.04236 | − | 0.589353i | 0.0700934 | − | 0.0202265i | ||||
\(850\) | −18.6984 | − | 5.76768i | −0.641349 | − | 0.197830i | ||||
\(851\) | 1.56404 | − | 2.70900i | 0.0536147 | − | 0.0928635i | ||||
\(852\) | −3.31365 | + | 2.96385i | −0.113524 | + | 0.101540i | ||||
\(853\) | −4.70109 | − | 1.45009i | −0.160962 | − | 0.0496503i | 0.213227 | − | 0.977003i | \(-0.431603\pi\) |
−0.374189 | + | 0.927352i | \(0.622079\pi\) | |||||||
\(854\) | −4.60879 | − | 29.3758i | −0.157710 | − | 1.00522i | ||||
\(855\) | −0.446865 | − | 2.35056i | −0.0152825 | − | 0.0803876i | ||||
\(856\) | 20.8118 | + | 19.3105i | 0.711332 | + | 0.660019i | ||||
\(857\) | −18.9488 | + | 23.7611i | −0.647280 | + | 0.811664i | −0.991892 | − | 0.127081i | \(-0.959439\pi\) |
0.344612 | + | 0.938745i | \(0.388010\pi\) | |||||||
\(858\) | 0.451917 | + | 7.98520i | 0.0154282 | + | 0.272610i | ||||
\(859\) | −10.6307 | + | 46.5763i | −0.362716 | + | 1.58916i | 0.383554 | + | 0.923519i | \(0.374700\pi\) |
−0.746270 | + | 0.665644i | \(0.768157\pi\) | |||||||
\(860\) | −43.8612 | + | 13.5294i | −1.49566 | + | 0.461349i | ||||
\(861\) | −24.2905 | − | 19.8624i | −0.827818 | − | 0.676908i | ||||
\(862\) | −10.8622 | − | 3.35053i | −0.369967 | − | 0.114120i | ||||
\(863\) | 18.1980 | − | 31.5198i | 0.619466 | − | 1.07295i | −0.370117 | − | 0.928985i | \(-0.620682\pi\) |
0.989583 | − | 0.143962i | \(-0.0459843\pi\) | |||||||
\(864\) | −30.3162 | + | 2.88268i | −1.03138 | + | 0.0980708i | ||||
\(865\) | 33.1299 | − | 30.7401i | 1.12645 | − | 1.04519i | ||||
\(866\) | −1.78070 | − | 23.7617i | −0.0605105 | − | 0.807457i | ||||
\(867\) | −1.24211 | − | 21.9476i | −0.0421842 | − | 0.745378i | ||||
\(868\) | −28.7157 | + | 2.32594i | −0.974676 | + | 0.0789476i | ||||
\(869\) | 5.28732 | − | 13.4719i | 0.179360 | − | 0.457002i | ||||
\(870\) | 3.72371 | − | 39.8961i | 0.126246 | − | 1.35260i | ||||
\(871\) | −5.06313 | − | 6.34896i | −0.171558 | − | 0.215126i | ||||
\(872\) | 2.76594 | + | 36.9089i | 0.0936666 | + | 1.24989i | ||||
\(873\) | −0.612206 | + | 2.29275i | −0.0207200 | + | 0.0775977i | ||||
\(874\) | 0.319216 | − | 0.153726i | 0.0107976 | − | 0.00519986i | ||||
\(875\) | 1.06362 | − | 2.24309i | 0.0359569 | − | 0.0758302i | ||||
\(876\) | −6.34307 | − | 6.10486i | −0.214312 | − | 0.206264i | ||||
\(877\) | −47.6223 | + | 22.9337i | −1.60809 | + | 0.774416i | −0.999814 | − | 0.0193094i | \(-0.993853\pi\) |
−0.608277 | + | 0.793725i | \(0.708139\pi\) | |||||||
\(878\) | 9.07300 | + | 8.41852i | 0.306199 | + | 0.284111i | ||||
\(879\) | 23.0775 | + | 30.0481i | 0.778384 | + | 1.01350i | ||||
\(880\) | −2.01434 | + | 5.13245i | −0.0679034 | + | 0.173015i | ||||
\(881\) | 20.2281 | 0.681500 | 0.340750 | − | 0.940154i | \(-0.389319\pi\) | ||||
0.340750 | + | 0.940154i | \(0.389319\pi\) | |||||||
\(882\) | −8.36268 | + | 13.6987i | −0.281586 | + | 0.461258i | ||||
\(883\) | −54.9751 | −1.85006 | −0.925029 | − | 0.379896i | \(-0.875960\pi\) | ||||
−0.925029 | + | 0.379896i | \(0.875960\pi\) | |||||||
\(884\) | −8.04732 | + | 20.5042i | −0.270661 | + | 0.689632i | ||||
\(885\) | −26.1037 | + | 63.0974i | −0.877467 | + | 2.12100i | ||||
\(886\) | 13.5168 | + | 12.5418i | 0.454106 | + | 0.421349i | ||||
\(887\) | 26.6324 | − | 12.8255i | 0.894227 | − | 0.430637i | 0.0704265 | − | 0.997517i | \(-0.477564\pi\) |
0.823800 | + | 0.566880i | \(0.191850\pi\) | |||||||
\(888\) | −7.50746 | + | 2.16639i | −0.251934 | + | 0.0726993i | ||||
\(889\) | −0.124052 | − | 20.5975i | −0.00416056 | − | 0.690817i | ||||
\(890\) | 27.6919 | − | 13.3357i | 0.928235 | − | 0.447015i | ||||
\(891\) | 17.7420 | + | 6.92768i | 0.594378 | + | 0.232086i | ||||
\(892\) | 1.91313 | + | 25.5289i | 0.0640562 | + | 0.854770i | ||||
\(893\) | 1.25298 | + | 1.57119i | 0.0419294 | + | 0.0525778i | ||||
\(894\) | −17.7129 | + | 8.13496i | −0.592409 | + | 0.272074i | ||||
\(895\) | −8.56209 | + | 21.8158i | −0.286199 | + | 0.729223i | ||||
\(896\) | 7.61417 | + | 24.1668i | 0.254372 | + | 0.807357i | ||||
\(897\) | −7.99264 | − | 4.03052i | −0.266866 | − | 0.134575i | ||||
\(898\) | 0.193091 | + | 2.57662i | 0.00644354 | + | 0.0859830i | ||||
\(899\) | −54.7956 | + | 50.8428i | −1.82753 | + | 1.69570i | ||||
\(900\) | 18.2865 | − | 7.99722i | 0.609549 | − | 0.266574i | ||||
\(901\) | 6.50491 | − | 11.2668i | 0.216710 | − | 0.375353i | ||||
\(902\) | −10.5825 | − | 3.26427i | −0.352359 | − | 0.108688i | ||||
\(903\) | 41.6001 | − | 23.3435i | 1.38436 | − | 0.776822i | ||||
\(904\) | −5.54701 | + | 1.71103i | −0.184491 | + | 0.0569078i | ||||
\(905\) | 7.75184 | − | 33.9630i | 0.257680 | − | 1.12897i | ||||
\(906\) | −12.1026 | − | 6.10311i | −0.402084 | − | 0.202762i | ||||
\(907\) | 17.9507 | − | 22.5095i | 0.596044 | − | 0.747416i | −0.388712 | − | 0.921359i | \(-0.627080\pi\) |
0.984756 | + | 0.173944i | \(0.0556512\pi\) | |||||||
\(908\) | −0.360502 | − | 0.334497i | −0.0119637 | − | 0.0111007i | ||||
\(909\) | 10.9579 | − | 9.44659i | 0.363450 | − | 0.313324i | ||||
\(910\) | −15.6236 | − | 8.89529i | −0.517919 | − | 0.294876i | ||||
\(911\) | −40.8987 | − | 12.6156i | −1.35504 | − | 0.417973i | −0.469659 | − | 0.882848i | \(-0.655623\pi\) |
−0.885376 | + | 0.464875i | \(0.846099\pi\) | |||||||
\(912\) | 0.352537 | + | 0.115836i | 0.0116737 | + | 0.00383572i | ||||
\(913\) | −7.48350 | + | 12.9618i | −0.247668 | + | 0.428973i | ||||
\(914\) | −5.62646 | − | 1.73553i | −0.186107 | − | 0.0574063i | ||||
\(915\) | 19.0604 | − | 76.9982i | 0.630117 | − | 2.54548i | ||||
\(916\) | −1.42001 | − | 3.61812i | −0.0469184 | − | 0.119546i | ||||
\(917\) | −21.3119 | − | 16.7867i | −0.703779 | − | 0.554344i | ||||
\(918\) | −15.0328 | − | 15.5652i | −0.496156 | − | 0.513727i | ||||
\(919\) | −48.9883 | − | 15.1109i | −1.61598 | − | 0.498462i | −0.650620 | − | 0.759403i | \(-0.725491\pi\) |
−0.965355 | + | 0.260941i | \(0.915967\pi\) | |||||||
\(920\) | 9.17619 | + | 11.5066i | 0.302530 | + | 0.379361i | ||||
\(921\) | 43.4827 | + | 41.8497i | 1.43280 | + | 1.37900i | ||||
\(922\) | −10.7213 | + | 13.4441i | −0.353087 | + | 0.442758i | ||||
\(923\) | 4.27622 | + | 2.91548i | 0.140753 | + | 0.0959641i | ||||
\(924\) | 2.21264 | − | 13.5520i | 0.0727906 | − | 0.445827i | ||||
\(925\) | 6.70867 | − | 4.57389i | 0.220580 | − | 0.150389i | ||||
\(926\) | −0.0876749 | + | 1.16994i | −0.00288118 | + | 0.0384466i | ||||
\(927\) | −44.5111 | + | 38.3722i | −1.46194 | + | 1.26031i | ||||
\(928\) | 47.0657 | + | 32.0889i | 1.54501 | + | 1.05337i | ||||
\(929\) | 0.556216 | − | 1.41722i | 0.0182489 | − | 0.0464973i | −0.921459 | − | 0.388476i | \(-0.873002\pi\) |
0.939708 | + | 0.341978i | \(0.111097\pi\) | |||||||
\(930\) | 30.1201 | + | 9.89683i | 0.987678 | + | 0.324530i | ||||
\(931\) | 1.46891 | − | 1.02762i | 0.0481415 | − | 0.0336788i | ||||
\(932\) | 6.88458 | + | 11.9245i | 0.225512 | + | 0.390598i | ||||
\(933\) | 3.20359 | + | 0.542882i | 0.104881 | + | 0.0177731i | ||||
\(934\) | −4.45673 | + | 2.14625i | −0.145829 | + | 0.0702274i | ||||
\(935\) | −34.3172 | + | 10.5855i | −1.12229 | + | 0.346181i | ||||
\(936\) | 7.40337 | + | 21.0988i | 0.241987 | + | 0.689637i | ||||
\(937\) | −53.4893 | − | 25.7591i | −1.74742 | − | 0.841513i | −0.979630 | − | 0.200811i | \(-0.935642\pi\) |
−0.767790 | − | 0.640702i | \(-0.778644\pi\) | |||||||
\(938\) | −2.52664 | − | 5.16678i | −0.0824976 | − | 0.168701i | ||||
\(939\) | 25.0221 | + | 32.5801i | 0.816564 | + | 1.06321i | ||||
\(940\) | −21.5740 | + | 27.0529i | −0.703666 | + | 0.882369i | ||||
\(941\) | −14.8849 | + | 10.1483i | −0.485233 | + | 0.330827i | −0.781103 | − | 0.624402i | \(-0.785343\pi\) |
0.295870 | + | 0.955228i | \(0.404390\pi\) | |||||||
\(942\) | −2.05955 | − | 5.54328i | −0.0671037 | − | 0.180610i | ||||
\(943\) | 9.08593 | − | 8.43051i | 0.295879 | − | 0.274535i | ||||
\(944\) | −6.60288 | − | 8.27975i | −0.214906 | − | 0.269483i | ||||
\(945\) | −34.7352 | + | 25.0305i | −1.12994 | + | 0.814241i | ||||
\(946\) | 10.4972 | − | 13.1631i | 0.341294 | − | 0.427969i | ||||
\(947\) | −3.65547 | − | 48.7789i | −0.118787 | − | 1.58510i | −0.664603 | − | 0.747196i | \(-0.731399\pi\) |
0.545816 | − | 0.837905i | \(-0.316220\pi\) | |||||||
\(948\) | 1.55854 | − | 16.6983i | 0.0506192 | − | 0.542337i | ||||
\(949\) | −5.12437 | + | 8.87568i | −0.166344 | + | 0.288117i | ||||
\(950\) | 0.919657 | 0.0298376 | ||||||||
\(951\) | −16.9141 | + | 7.76808i | −0.548477 | + | 0.251897i | ||||
\(952\) | −21.0140 | + | 31.2243i | −0.681068 | + | 1.01199i | ||||
\(953\) | 4.20320 | − | 18.4154i | 0.136155 | − | 0.596533i | −0.860104 | − | 0.510118i | \(-0.829602\pi\) |
0.996259 | − | 0.0864153i | \(-0.0275412\pi\) | |||||||
\(954\) | −1.02238 | − | 5.37785i | −0.0331008 | − | 0.174114i | ||||
\(955\) | −18.9321 | − | 2.85356i | −0.612629 | − | 0.0923389i | ||||
\(956\) | −5.19118 | + | 6.50954i | −0.167895 | + | 0.210534i | ||||
\(957\) | −17.2473 | − | 31.1746i | −0.557525 | − | 1.00773i | ||||
\(958\) | −15.9361 | + | 4.91564i | −0.514872 | + | 0.158817i | ||||
\(959\) | 7.17793 | + | 5.65383i | 0.231788 | + | 0.182572i | ||||
\(960\) | 1.40657 | − | 15.0700i | 0.0453967 | − | 0.486383i | ||||
\(961\) | −14.0724 | − | 24.3742i | −0.453949 | − | 0.786263i | ||||
\(962\) | 1.88525 | + | 3.26534i | 0.0607827 | + | 0.105279i | ||||
\(963\) | −19.3960 | − | 26.2330i | −0.625028 | − | 0.845345i | ||||
\(964\) | −28.6999 | + | 19.5673i | −0.924361 | + | 0.630219i | ||||
\(965\) | −30.4688 | − | 77.6331i | −0.980824 | − | 2.49910i | ||||
\(966\) | −4.90795 | − | 4.01323i | −0.157911 | − | 0.129124i | ||||
\(967\) | 3.31473 | − | 8.44578i | 0.106594 | − | 0.271598i | −0.867618 | − | 0.497232i | \(-0.834350\pi\) |
0.974212 | + | 0.225633i | \(0.0724452\pi\) | |||||||
\(968\) | 3.78841 | + | 16.5981i | 0.121764 | + | 0.533484i | ||||
\(969\) | 0.841797 | + | 2.26570i | 0.0270424 | + | 0.0727848i | ||||
\(970\) | −1.69629 | − | 0.816891i | −0.0544647 | − | 0.0262288i | ||||
\(971\) | 11.5093 | + | 29.3252i | 0.369351 | + | 0.941091i | 0.987865 | + | 0.155317i | \(0.0496399\pi\) |
−0.618514 | + | 0.785774i | \(0.712265\pi\) | |||||||
\(972\) | 21.9797 | + | 2.01298i | 0.705000 | + | 0.0645665i | ||||
\(973\) | 9.88698 | + | 10.5277i | 0.316962 | + | 0.337504i | ||||
\(974\) | 15.5407 | − | 10.5955i | 0.497956 | − | 0.339501i | ||||
\(975\) | −14.1526 | − | 18.4274i | −0.453244 | − | 0.590149i | ||||
\(976\) | 9.01811 | + | 8.36759i | 0.288663 | + | 0.267840i | ||||
\(977\) | 1.24461 | − | 16.6082i | 0.0398186 | − | 0.531343i | −0.941254 | − | 0.337701i | \(-0.890351\pi\) |
0.981072 | − | 0.193642i | \(-0.0620301\pi\) | |||||||
\(978\) | 0.00513490 | + | 0.0138206i | 0.000164196 | + | 0.000441934i | ||||
\(979\) | 13.6643 | − | 23.6672i | 0.436711 | − | 0.756406i | ||||
\(980\) | 22.8780 | + | 20.7205i | 0.730811 | + | 0.661892i | ||||
\(981\) | 4.72542 | − | 42.2691i | 0.150871 | − | 1.34955i | ||||
\(982\) | 21.6098 | − | 3.25716i | 0.689598 | − | 0.103940i | ||||
\(983\) | 53.6391 | − | 25.8312i | 1.71082 | − | 0.823888i | 0.719187 | − | 0.694817i | \(-0.244515\pi\) |
0.991635 | − | 0.129071i | \(-0.0411996\pi\) | |||||||
\(984\) | −30.9560 | − | 0.565498i | −0.986840 | − | 0.0180274i | ||||
\(985\) | 30.8462 | − | 14.8547i | 0.982841 | − | 0.473311i | ||||
\(986\) | 3.02488 | + | 40.3643i | 0.0963320 | + | 1.28546i | ||||
\(987\) | 15.9980 | − | 32.2055i | 0.509222 | − | 1.02511i | ||||
\(988\) | 0.0773631 | − | 1.03234i | 0.00246125 | − | 0.0328431i | ||||
\(989\) | 6.88419 | + | 17.5406i | 0.218905 | + | 0.557760i | ||||
\(990\) | −8.02846 | + | 12.8019i | −0.255161 | + | 0.406871i | ||||
\(991\) | 21.5592 | − | 54.9319i | 0.684850 | − | 1.74497i | 0.0179323 | − | 0.999839i | \(-0.494292\pi\) |
0.666918 | − | 0.745131i | \(-0.267613\pi\) | |||||||
\(992\) | −33.0400 | + | 30.6566i | −1.04902 | + | 0.973349i | ||||
\(993\) | −25.3231 | + | 30.5908i | −0.803605 | + | 0.970771i | ||||
\(994\) | 2.50938 | + | 2.67201i | 0.0795926 | + | 0.0847509i | ||||
\(995\) | −28.7257 | − | 4.32971i | −0.910667 | − | 0.137261i | ||||
\(996\) | −4.16765 | + | 16.8360i | −0.132057 | + | 0.533470i | ||||
\(997\) | −3.54794 | − | 15.5446i | −0.112364 | − | 0.492301i | −0.999524 | − | 0.0308388i | \(-0.990182\pi\) |
0.887160 | − | 0.461462i | \(-0.152675\pi\) | |||||||
\(998\) | −2.49967 | − | 4.32956i | −0.0791258 | − | 0.137050i | ||||
\(999\) | 8.93880 | − | 0.849966i | 0.282811 | − | 0.0268917i |
(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.z.a.142.22 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.22 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.22 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.22 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.22 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.22 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.22 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.22 | yes | 648 | 441.382 | even | 21 | inner |