Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.8 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03170 | − | 1.14582i | −0.729520 | − | 0.810214i | 0.258259 | − | 0.966076i | \(-0.416851\pi\) |
−0.987779 | + | 0.155862i | \(0.950185\pi\) | |||||||
\(3\) | 0.391245 | − | 1.68728i | 0.225885 | − | 0.974154i | ||||
\(4\) | −0.0394378 | + | 0.375225i | −0.0197189 | + | 0.187613i | ||||
\(5\) | 0.582427 | − | 2.74010i | 0.260469 | − | 1.22541i | −0.632238 | − | 0.774775i | \(-0.717863\pi\) |
0.892707 | − | 0.450638i | \(-0.148803\pi\) | |||||||
\(6\) | −2.33696 | + | 1.29247i | −0.954061 | + | 0.527649i | ||||
\(7\) | −2.49909 | + | 0.868634i | −0.944569 | + | 0.328313i | ||||
\(8\) | −2.02413 | + | 1.47062i | −0.715639 | + | 0.519942i | ||||
\(9\) | −2.69386 | − | 1.32028i | −0.897952 | − | 0.440094i | ||||
\(10\) | −3.74054 | + | 2.15960i | −1.18286 | + | 0.682927i | ||||
\(11\) | 2.99332 | − | 1.42831i | 0.902519 | − | 0.430651i | ||||
\(12\) | 0.617682 | + | 0.213348i | 0.178309 | + | 0.0615881i | ||||
\(13\) | 5.92698 | + | 1.92579i | 1.64385 | + | 0.534119i | 0.977394 | − | 0.211426i | \(-0.0678107\pi\) |
0.666455 | + | 0.745545i | \(0.267811\pi\) | |||||||
\(14\) | 3.57360 | + | 1.96733i | 0.955086 | + | 0.525792i | ||||
\(15\) | −4.39546 | − | 2.05477i | −1.13490 | − | 0.530540i | ||||
\(16\) | 4.51145 | + | 0.958938i | 1.12786 | + | 0.239734i | ||||
\(17\) | −0.0769878 | + | 0.0855036i | −0.0186723 | + | 0.0207377i | −0.752409 | − | 0.658697i | \(-0.771108\pi\) |
0.733736 | + | 0.679434i | \(0.237775\pi\) | |||||||
\(18\) | 1.26644 | + | 4.44879i | 0.298504 | + | 1.04859i | ||||
\(19\) | −3.66346 | + | 0.385045i | −0.840455 | + | 0.0883354i | −0.514966 | − | 0.857210i | \(-0.672196\pi\) |
−0.325489 | + | 0.945546i | \(0.605529\pi\) | |||||||
\(20\) | 1.00519 | + | 0.326605i | 0.224767 | + | 0.0730311i | ||||
\(21\) | 0.487876 | + | 4.55653i | 0.106463 | + | 0.994317i | ||||
\(22\) | −4.72477 | − | 1.95621i | −1.00732 | − | 0.417065i | ||||
\(23\) | −2.65577 | − | 1.53331i | −0.553766 | − | 0.319717i | 0.196874 | − | 0.980429i | \(-0.436921\pi\) |
−0.750639 | + | 0.660712i | \(0.770254\pi\) | |||||||
\(24\) | 1.68942 | + | 3.99066i | 0.344852 | + | 0.814590i | ||||
\(25\) | −2.60123 | − | 1.15814i | −0.520245 | − | 0.231628i | ||||
\(26\) | −3.90825 | − | 8.77807i | −0.766470 | − | 1.72152i | ||||
\(27\) | −3.28165 | + | 4.02875i | −0.631553 | + | 0.775333i | ||||
\(28\) | −0.227375 | − | 0.971981i | −0.0429698 | − | 0.183687i | ||||
\(29\) | −4.30196 | − | 3.12556i | −0.798854 | − | 0.580402i | 0.111723 | − | 0.993739i | \(-0.464363\pi\) |
−0.910578 | + | 0.413338i | \(0.864363\pi\) | |||||||
\(30\) | 2.18040 | + | 7.15629i | 0.398084 | + | 1.30655i | ||||
\(31\) | 3.52957 | − | 0.750234i | 0.633930 | − | 0.134746i | 0.120272 | − | 0.992741i | \(-0.461623\pi\) |
0.513658 | + | 0.857995i | \(0.328290\pi\) | |||||||
\(32\) | −1.05371 | − | 1.82508i | −0.186272 | − | 0.322632i | ||||
\(33\) | −1.23884 | − | 5.60939i | −0.215654 | − | 0.976470i | ||||
\(34\) | 0.177399 | 0.0304238 | ||||||||
\(35\) | 0.924608 | + | 7.35370i | 0.156287 | + | 1.24300i | ||||
\(36\) | 0.601643 | − | 0.958734i | 0.100274 | − | 0.159789i | ||||
\(37\) | 2.25887 | − | 1.00571i | 0.371355 | − | 0.165338i | −0.212569 | − | 0.977146i | \(-0.568183\pi\) |
0.583924 | + | 0.811808i | \(0.301516\pi\) | |||||||
\(38\) | 4.22077 | + | 3.80040i | 0.684699 | + | 0.616506i | ||||
\(39\) | 5.56826 | − | 9.24705i | 0.891635 | − | 1.48071i | ||||
\(40\) | 2.85074 | + | 6.40287i | 0.450742 | + | 1.01238i | ||||
\(41\) | 3.91730 | − | 2.84608i | 0.611779 | − | 0.444483i | −0.238261 | − | 0.971201i | \(-0.576578\pi\) |
0.850040 | + | 0.526718i | \(0.176578\pi\) | |||||||
\(42\) | 4.71760 | − | 5.25998i | 0.727942 | − | 0.811632i | ||||
\(43\) | − | 7.32577i | − | 1.11717i | −0.829447 | − | 0.558585i | \(-0.811344\pi\) | ||
0.829447 | − | 0.558585i | \(-0.188656\pi\) | |||||||
\(44\) | 0.417887 | + | 1.17950i | 0.0629989 | + | 0.177816i | ||||
\(45\) | −5.18668 | + | 6.61248i | −0.773185 | + | 0.985730i | ||||
\(46\) | 0.983059 | + | 4.62493i | 0.144944 | + | 0.681909i | ||||
\(47\) | −0.671319 | + | 0.0705585i | −0.0979220 | + | 0.0102920i | −0.153363 | − | 0.988170i | \(-0.549010\pi\) |
0.0554407 | + | 0.998462i | \(0.482344\pi\) | |||||||
\(48\) | 3.38308 | − | 7.23691i | 0.488305 | − | 1.04456i | ||||
\(49\) | 5.49095 | − | 4.34160i | 0.784421 | − | 0.620228i | ||||
\(50\) | 1.35666 | + | 4.17538i | 0.191861 | + | 0.590487i | ||||
\(51\) | 0.114148 | + | 0.163353i | 0.0159839 | + | 0.0228740i | ||||
\(52\) | −0.956354 | + | 2.14801i | −0.132622 | + | 0.297875i | ||||
\(53\) | 0.774444 | + | 3.64347i | 0.106378 | + | 0.500470i | 0.998787 | + | 0.0492417i | \(0.0156805\pi\) |
−0.892409 | + | 0.451228i | \(0.850986\pi\) | |||||||
\(54\) | 8.00187 | − | 0.396285i | 1.08892 | − | 0.0539276i | ||||
\(55\) | −2.17032 | − | 9.03388i | −0.292646 | − | 1.21813i | ||||
\(56\) | 3.78107 | − | 5.43345i | 0.505267 | − | 0.726075i | ||||
\(57\) | −0.783628 | + | 6.33194i | −0.103794 | + | 0.838686i | ||||
\(58\) | 0.857008 | + | 8.15389i | 0.112531 | + | 1.07066i | ||||
\(59\) | −11.1350 | − | 1.17033i | −1.44965 | − | 0.152365i | −0.653255 | − | 0.757138i | \(-0.726597\pi\) |
−0.796398 | + | 0.604773i | \(0.793264\pi\) | |||||||
\(60\) | 0.944350 | − | 1.56825i | 0.121915 | − | 0.202461i | ||||
\(61\) | 0.0971182 | − | 0.456905i | 0.0124347 | − | 0.0585007i | −0.971493 | − | 0.237069i | \(-0.923813\pi\) |
0.983928 | + | 0.178568i | \(0.0571466\pi\) | |||||||
\(62\) | −4.50108 | − | 3.27023i | −0.571638 | − | 0.415319i | ||||
\(63\) | 7.87904 | + | 0.959533i | 0.992666 | + | 0.120890i | ||||
\(64\) | 1.84642 | − | 5.68270i | 0.230803 | − | 0.710337i | ||||
\(65\) | 8.72891 | − | 15.1189i | 1.08269 | − | 1.87527i | ||||
\(66\) | −5.14922 | + | 7.20668i | −0.633825 | + | 0.887080i | ||||
\(67\) | 2.95979 | + | 5.12650i | 0.361596 | + | 0.626302i | 0.988224 | − | 0.153016i | \(-0.0488987\pi\) |
−0.626628 | + | 0.779319i | \(0.715565\pi\) | |||||||
\(68\) | −0.0290469 | − | 0.0322598i | −0.00352245 | − | 0.00391208i | ||||
\(69\) | −3.62618 | + | 3.88114i | −0.436541 | + | 0.467234i | ||||
\(70\) | 7.47207 | − | 8.64622i | 0.893083 | − | 1.03342i | ||||
\(71\) | 12.8230 | − | 4.16644i | 1.52181 | − | 0.494465i | 0.575518 | − | 0.817789i | \(-0.304800\pi\) |
0.946288 | + | 0.323324i | \(0.104800\pi\) | |||||||
\(72\) | 7.39436 | − | 1.28921i | 0.871433 | − | 0.151935i | ||||
\(73\) | −5.57753 | − | 0.586222i | −0.652800 | − | 0.0686121i | −0.227662 | − | 0.973740i | \(-0.573108\pi\) |
−0.425139 | + | 0.905128i | \(0.639775\pi\) | |||||||
\(74\) | −3.48283 | − | 1.55065i | −0.404870 | − | 0.180260i | ||||
\(75\) | −2.97183 | + | 3.93589i | −0.343157 | + | 0.454478i | ||||
\(76\) | − | 1.38981i | − | 0.159422i | ||||||
\(77\) | −6.23990 | + | 6.16957i | −0.711103 | + | 0.703088i | ||||
\(78\) | −16.3402 | + | 3.15995i | −1.85016 | + | 0.357794i | ||||
\(79\) | 7.36730 | − | 6.63355i | 0.828886 | − | 0.746332i | −0.140969 | − | 0.990014i | \(-0.545022\pi\) |
0.969855 | + | 0.243682i | \(0.0783552\pi\) | |||||||
\(80\) | 5.25518 | − | 11.8033i | 0.587547 | − | 1.31965i | ||||
\(81\) | 5.51371 | + | 7.11329i | 0.612635 | + | 0.790366i | ||||
\(82\) | −7.30255 | − | 1.55220i | −0.806431 | − | 0.171412i | ||||
\(83\) | 3.17120 | + | 9.75996i | 0.348085 | + | 1.07129i | 0.959912 | + | 0.280303i | \(0.0904350\pi\) |
−0.611827 | + | 0.790992i | \(0.709565\pi\) | |||||||
\(84\) | −1.72897 | + | 0.00336394i | −0.188646 | + | 0.000367036i | ||||
\(85\) | 0.189449 | + | 0.260754i | 0.0205486 | + | 0.0282828i | ||||
\(86\) | −8.39399 | + | 7.55798i | −0.905147 | + | 0.814998i | ||||
\(87\) | −6.95682 | + | 6.03578i | −0.745850 | + | 0.647103i | ||||
\(88\) | −3.95838 | + | 7.29311i | −0.421964 | + | 0.777448i | ||||
\(89\) | 9.16047 | + | 5.28880i | 0.971008 | + | 0.560612i | 0.899543 | − | 0.436832i | \(-0.143899\pi\) |
0.0714645 | + | 0.997443i | \(0.477233\pi\) | |||||||
\(90\) | 12.9278 | − | 0.879091i | 1.36271 | − | 0.0926643i | ||||
\(91\) | −16.4849 | + | 0.335641i | −1.72809 | + | 0.0351847i | ||||
\(92\) | 0.680074 | − | 0.936041i | 0.0709026 | − | 0.0975890i | ||||
\(93\) | 0.115068 | − | 6.24892i | 0.0119320 | − | 0.647983i | ||||
\(94\) | 0.773445 | + | 0.696413i | 0.0797748 | + | 0.0718295i | ||||
\(95\) | −1.07863 | + | 10.2625i | −0.110666 | + | 1.05291i | ||||
\(96\) | −3.49170 | + | 1.06386i | −0.356370 | + | 0.108580i | ||||
\(97\) | 0.935987 | − | 2.88067i | 0.0950351 | − | 0.292488i | −0.892228 | − | 0.451586i | \(-0.850859\pi\) |
0.987263 | + | 0.159098i | \(0.0508585\pi\) | |||||||
\(98\) | −10.6397 | − | 1.81240i | −1.07477 | − | 0.183080i | ||||
\(99\) | −9.94933 | − | 0.104367i | −0.999945 | − | 0.0104893i | ||||
\(100\) | 0.537150 | − | 0.930372i | 0.0537150 | − | 0.0930372i | ||||
\(101\) | 6.39480 | − | 1.35926i | 0.636306 | − | 0.135251i | 0.121547 | − | 0.992586i | \(-0.461215\pi\) |
0.514759 | + | 0.857335i | \(0.327881\pi\) | |||||||
\(102\) | 0.0694066 | − | 0.299323i | 0.00687227 | − | 0.0296374i | ||||
\(103\) | −14.0035 | + | 6.23474i | −1.37980 | + | 0.614327i | −0.956519 | − | 0.291671i | \(-0.905789\pi\) |
−0.423282 | + | 0.905998i | \(0.639122\pi\) | |||||||
\(104\) | −14.8291 | + | 4.81827i | −1.45411 | + | 0.472471i | ||||
\(105\) | 12.7695 | + | 1.31702i | 1.24618 | + | 0.128528i | ||||
\(106\) | 3.37576 | − | 4.64633i | 0.327882 | − | 0.451292i | ||||
\(107\) | 0.980469 | + | 9.32854i | 0.0947856 | + | 0.901824i | 0.933819 | + | 0.357745i | \(0.116454\pi\) |
−0.839034 | + | 0.544079i | \(0.816879\pi\) | |||||||
\(108\) | −1.38227 | − | 1.39024i | −0.133009 | − | 0.133776i | ||||
\(109\) | 16.1551 | − | 9.32717i | 1.54738 | − | 0.893381i | 0.549040 | − | 0.835796i | \(-0.314993\pi\) |
0.998341 | − | 0.0575849i | \(-0.0183400\pi\) | |||||||
\(110\) | −8.11205 | + | 11.8070i | −0.773454 | + | 1.12576i | ||||
\(111\) | −0.813153 | − | 4.20483i | −0.0771810 | − | 0.399105i | ||||
\(112\) | −12.1075 | + | 1.52232i | −1.14405 | + | 0.143846i | ||||
\(113\) | 1.43062 | + | 1.96909i | 0.134582 | + | 0.185236i | 0.870989 | − | 0.491303i | \(-0.163479\pi\) |
−0.736407 | + | 0.676539i | \(0.763479\pi\) | |||||||
\(114\) | 8.06370 | − | 5.63475i | 0.755235 | − | 0.527743i | ||||
\(115\) | −5.74822 | + | 6.38404i | −0.536024 | + | 0.595315i | ||||
\(116\) | 1.34245 | − | 1.49094i | 0.124643 | − | 0.138430i | ||||
\(117\) | −13.4238 | − | 13.0131i | −1.24104 | − | 1.20306i | ||||
\(118\) | 10.1470 | + | 13.9661i | 0.934103 | + | 1.28568i | ||||
\(119\) | 0.118128 | − | 0.280556i | 0.0108288 | − | 0.0257185i | ||||
\(120\) | 11.9188 | − | 2.30492i | 1.08803 | − | 0.210410i | ||||
\(121\) | 6.91988 | − | 8.55075i | 0.629080 | − | 0.777341i | ||||
\(122\) | −0.623726 | + | 0.360108i | −0.0564695 | + | 0.0326027i | ||||
\(123\) | −3.26953 | − | 7.72310i | −0.294803 | − | 0.696369i | ||||
\(124\) | 0.142308 | + | 1.35397i | 0.0127797 | + | 0.121590i | ||||
\(125\) | 3.54442 | − | 4.87848i | 0.317023 | − | 0.436344i | ||||
\(126\) | −7.02934 | − | 10.0179i | −0.626223 | − | 0.892463i | ||||
\(127\) | −11.3486 | + | 3.68738i | −1.00702 | + | 0.327202i | −0.765669 | − | 0.643235i | \(-0.777592\pi\) |
−0.241355 | + | 0.970437i | \(0.577592\pi\) | |||||||
\(128\) | −12.2667 | + | 5.46150i | −1.08424 | + | 0.482733i | ||||
\(129\) | −12.3607 | − | 2.86617i | −1.08830 | − | 0.252352i | ||||
\(130\) | −26.3291 | + | 5.59642i | −2.30921 | + | 0.490839i | ||||
\(131\) | −0.483915 | + | 0.838165i | −0.0422799 | + | 0.0732309i | −0.886391 | − | 0.462937i | \(-0.846795\pi\) |
0.844111 | + | 0.536168i | \(0.180129\pi\) | |||||||
\(132\) | 2.15364 | − | 0.243622i | 0.187451 | − | 0.0212046i | ||||
\(133\) | 8.82087 | − | 4.14447i | 0.764866 | − | 0.359371i | ||||
\(134\) | 2.82042 | − | 8.68037i | 0.243647 | − | 0.749870i | ||||
\(135\) | 9.12787 | + | 11.3385i | 0.785602 | + | 0.975863i | ||||
\(136\) | 0.0300903 | − | 0.286291i | 0.00258023 | − | 0.0245492i | ||||
\(137\) | −3.76373 | − | 3.38887i | −0.321557 | − | 0.289531i | 0.492505 | − | 0.870310i | \(-0.336081\pi\) |
−0.814061 | + | 0.580779i | \(0.802748\pi\) | |||||||
\(138\) | 8.18819 | + | 0.150778i | 0.697025 | + | 0.0128351i | ||||
\(139\) | −11.5531 | + | 15.9015i | −0.979923 | + | 1.34875i | −0.0430518 | + | 0.999073i | \(0.513708\pi\) |
−0.936871 | + | 0.349675i | \(0.886292\pi\) | |||||||
\(140\) | −2.79576 | + | 0.0569230i | −0.236285 | + | 0.00481087i | ||||
\(141\) | −0.143598 | + | 1.16031i | −0.0120931 | + | 0.0977159i | ||||
\(142\) | −18.0034 | − | 10.3943i | −1.51081 | − | 0.872267i | ||||
\(143\) | 20.4920 | − | 2.70104i | 1.71362 | − | 0.225872i | ||||
\(144\) | −10.8871 | − | 8.53962i | −0.907260 | − | 0.711635i | ||||
\(145\) | −11.0699 | + | 9.96742i | −0.919308 | + | 0.827749i | ||||
\(146\) | 5.08262 | + | 6.99562i | 0.420641 | + | 0.578962i | ||||
\(147\) | −5.17721 | − | 10.9634i | −0.427009 | − | 0.904247i | ||||
\(148\) | 0.288284 | + | 0.887247i | 0.0236968 | + | 0.0729312i | ||||
\(149\) | −4.16865 | − | 0.886073i | −0.341509 | − | 0.0725899i | 0.0339648 | − | 0.999423i | \(-0.489187\pi\) |
−0.375474 | + | 0.926833i | \(0.622520\pi\) | |||||||
\(150\) | 7.57583 | − | 0.655481i | 0.618564 | − | 0.0535198i | ||||
\(151\) | 3.78165 | − | 8.49372i | 0.307746 | − | 0.691209i | −0.691776 | − | 0.722112i | \(-0.743172\pi\) |
0.999522 | + | 0.0309029i | \(0.00983828\pi\) | |||||||
\(152\) | 6.84908 | − | 6.16694i | 0.555533 | − | 0.500205i | ||||
\(153\) | 0.320283 | − | 0.128689i | 0.0258933 | − | 0.0104039i | ||||
\(154\) | 13.5069 | + | 0.784652i | 1.08842 | + | 0.0632290i | ||||
\(155\) | − | 10.1084i | − | 0.811923i | ||||||
\(156\) | 3.25013 | + | 2.45404i | 0.260218 | + | 0.196480i | ||||
\(157\) | 9.08727 | + | 4.04591i | 0.725243 | + | 0.322899i | 0.735943 | − | 0.677044i | \(-0.236739\pi\) |
−0.0106999 | + | 0.999943i | \(0.503406\pi\) | |||||||
\(158\) | −15.2016 | − | 1.59776i | −1.20938 | − | 0.127111i | ||||
\(159\) | 6.45057 | + | 0.118782i | 0.511564 | + | 0.00941999i | ||||
\(160\) | −5.61463 | + | 1.82431i | −0.443876 | + | 0.144224i | ||||
\(161\) | 7.96890 | + | 1.52499i | 0.628037 | + | 0.120186i | ||||
\(162\) | 2.46204 | − | 13.6565i | 0.193436 | − | 1.07295i | ||||
\(163\) | 8.57645 | + | 9.52512i | 0.671760 | + | 0.746065i | 0.978617 | − | 0.205691i | \(-0.0659441\pi\) |
−0.306857 | + | 0.951756i | \(0.599277\pi\) | |||||||
\(164\) | 0.913433 | + | 1.58211i | 0.0713271 | + | 0.123542i | ||||
\(165\) | −16.0919 | + | 0.127491i | −1.25275 | + | 0.00992515i | ||||
\(166\) | 7.91139 | − | 13.7029i | 0.614043 | − | 1.06355i | ||||
\(167\) | −6.28028 | + | 19.3287i | −0.485983 | + | 1.49570i | 0.344570 | + | 0.938761i | \(0.388025\pi\) |
−0.830553 | + | 0.556940i | \(0.811975\pi\) | |||||||
\(168\) | −7.68845 | − | 8.50555i | −0.593177 | − | 0.656217i | ||||
\(169\) | 20.9032 | + | 15.1871i | 1.60794 | + | 1.16824i | ||||
\(170\) | 0.103322 | − | 0.486093i | 0.00792446 | − | 0.0372816i | ||||
\(171\) | 10.3772 | + | 3.79954i | 0.793564 | + | 0.290558i | ||||
\(172\) | 2.74882 | + | 0.288912i | 0.209595 | + | 0.0220293i | ||||
\(173\) | 2.04143 | + | 19.4229i | 0.155207 | + | 1.47670i | 0.743872 | + | 0.668322i | \(0.232987\pi\) |
−0.588665 | + | 0.808377i | \(0.700346\pi\) | |||||||
\(174\) | 14.0932 | + | 1.74415i | 1.06840 | + | 0.132223i | ||||
\(175\) | 7.50671 | + | 0.634789i | 0.567454 | + | 0.0479855i | ||||
\(176\) | 14.8738 | − | 3.57333i | 1.12116 | − | 0.269350i | ||||
\(177\) | −6.33119 | + | 18.3300i | −0.475882 | + | 1.37777i | ||||
\(178\) | −3.39084 | − | 15.9526i | −0.254154 | − | 1.19570i | ||||
\(179\) | −0.825516 | + | 1.85414i | −0.0617019 | + | 0.138585i | −0.941765 | − | 0.336273i | \(-0.890834\pi\) |
0.880063 | + | 0.474857i | \(0.157500\pi\) | |||||||
\(180\) | −2.27662 | − | 2.20696i | −0.169689 | − | 0.164497i | ||||
\(181\) | 2.01671 | + | 6.20679i | 0.149901 | + | 0.461347i | 0.997609 | − | 0.0691164i | \(-0.0220180\pi\) |
−0.847708 | + | 0.530463i | \(0.822018\pi\) | |||||||
\(182\) | 17.3920 | + | 18.5424i | 1.28918 | + | 1.37445i | ||||
\(183\) | −0.732932 | − | 0.342628i | −0.0541799 | − | 0.0253278i | ||||
\(184\) | 7.63054 | − | 0.802002i | 0.562531 | − | 0.0591244i | ||||
\(185\) | −1.44013 | − | 6.77528i | −0.105881 | − | 0.498129i | ||||
\(186\) | −7.27883 | + | 6.31514i | −0.533709 | + | 0.463049i | ||||
\(187\) | −0.108323 | + | 0.365902i | −0.00792139 | + | 0.0267574i | ||||
\(188\) | − | 0.254679i | − | 0.0185743i | ||||||
\(189\) | 4.70164 | − | 12.9188i | 0.341994 | − | 0.939702i | ||||
\(190\) | 12.8718 | − | 9.35190i | 0.933817 | − | 0.678458i | ||||
\(191\) | −8.70525 | − | 19.5523i | −0.629890 | − | 1.41476i | −0.893030 | − | 0.449998i | \(-0.851425\pi\) |
0.263140 | − | 0.964758i | \(-0.415242\pi\) | |||||||
\(192\) | −8.86592 | − | 5.33876i | −0.639843 | − | 0.385292i | ||||
\(193\) | 15.2238 | + | 13.7076i | 1.09583 | + | 0.986694i | 0.999962 | − | 0.00869943i | \(-0.00276915\pi\) |
0.0958727 | + | 0.995394i | \(0.469436\pi\) | |||||||
\(194\) | −4.26637 | + | 1.89951i | −0.306308 | + | 0.136377i | ||||
\(195\) | −22.0948 | − | 20.6434i | −1.58224 | − | 1.47830i | ||||
\(196\) | 1.41253 | + | 2.23157i | 0.100895 | + | 0.159398i | ||||
\(197\) | −11.1508 | −0.794460 | −0.397230 | − | 0.917719i | \(-0.630028\pi\) | ||||
−0.397230 | + | 0.917719i | \(0.630028\pi\) | |||||||
\(198\) | 10.1451 | + | 11.5078i | 0.720981 | + | 0.817822i | ||||
\(199\) | 0.476430 | + | 0.825201i | 0.0337732 | + | 0.0584969i | 0.882418 | − | 0.470466i | \(-0.155914\pi\) |
−0.848645 | + | 0.528963i | \(0.822581\pi\) | |||||||
\(200\) | 6.96842 | − | 1.48118i | 0.492741 | − | 0.104735i | ||||
\(201\) | 9.80787 | − | 2.98829i | 0.691794 | − | 0.210778i | ||||
\(202\) | −8.15495 | − | 5.92492i | −0.573780 | − | 0.416876i | ||||
\(203\) | 13.4660 | + | 4.07423i | 0.945126 | + | 0.285955i | ||||
\(204\) | −0.0657960 | + | 0.0363889i | −0.00460664 | + | 0.00254773i | ||||
\(205\) | −5.51702 | − | 12.3914i | −0.385326 | − | 0.865455i | ||||
\(206\) | 21.5912 | + | 9.61301i | 1.50433 | + | 0.669770i | ||||
\(207\) | 5.12986 | + | 7.63687i | 0.356550 | + | 0.530799i | ||||
\(208\) | 24.8926 | + | 14.3717i | 1.72599 | + | 0.996500i | ||||
\(209\) | −10.4159 | + | 6.38510i | −0.720485 | + | 0.441667i | ||||
\(210\) | −11.6652 | − | 15.9903i | −0.804977 | − | 1.10343i | ||||
\(211\) | −9.90749 | − | 3.21914i | −0.682059 | − | 0.221615i | −0.0525627 | − | 0.998618i | \(-0.516739\pi\) |
−0.629497 | + | 0.777003i | \(0.716739\pi\) | |||||||
\(212\) | −1.39767 | + | 0.146901i | −0.0959921 | + | 0.0100892i | ||||
\(213\) | −2.01304 | − | 23.2661i | −0.137932 | − | 1.59417i | ||||
\(214\) | 9.67724 | − | 10.7477i | 0.661523 | − | 0.734695i | ||||
\(215\) | −20.0734 | − | 4.26673i | −1.36899 | − | 0.290989i | ||||
\(216\) | 0.717738 | − | 12.9808i | 0.0488359 | − | 0.883230i | ||||
\(217\) | −8.16906 | + | 4.94082i | −0.554552 | + | 0.335404i | ||||
\(218\) | −27.3544 | − | 8.88799i | −1.85267 | − | 0.601971i | ||||
\(219\) | −3.17130 | + | 9.18152i | −0.214297 | + | 0.620430i | ||||
\(220\) | 3.47533 | − | 0.458083i | 0.234307 | − | 0.0308840i | ||||
\(221\) | −0.620968 | + | 0.358516i | −0.0417708 | + | 0.0241164i | ||||
\(222\) | −3.97903 | + | 5.26983i | −0.267055 | + | 0.353688i | ||||
\(223\) | 21.2304 | − | 15.4248i | 1.42169 | − | 1.03292i | 0.430203 | − | 0.902732i | \(-0.358442\pi\) |
0.991489 | − | 0.130188i | \(-0.0415581\pi\) | |||||||
\(224\) | 4.21866 | + | 3.64577i | 0.281871 | + | 0.243593i | ||||
\(225\) | 5.47826 | + | 6.55421i | 0.365217 | + | 0.436948i | ||||
\(226\) | 0.780238 | − | 3.67073i | 0.0519007 | − | 0.244174i | ||||
\(227\) | 0.692291 | − | 6.58671i | 0.0459490 | − | 0.437175i | −0.947228 | − | 0.320560i | \(-0.896129\pi\) |
0.993177 | − | 0.116615i | \(-0.0372045\pi\) | |||||||
\(228\) | −2.34500 | − | 0.543755i | −0.155301 | − | 0.0360110i | ||||
\(229\) | 5.73681 | + | 6.37137i | 0.379099 | + | 0.421032i | 0.902254 | − | 0.431206i | \(-0.141912\pi\) |
−0.523155 | + | 0.852238i | \(0.675245\pi\) | |||||||
\(230\) | 13.2454 | 0.873373 | ||||||||
\(231\) | 7.96849 | + | 12.9423i | 0.524288 | + | 0.851541i | ||||
\(232\) | 13.3043 | 0.873467 | ||||||||
\(233\) | −1.78125 | − | 1.97828i | −0.116693 | − | 0.129601i | 0.681967 | − | 0.731382i | \(-0.261125\pi\) |
−0.798661 | + | 0.601781i | \(0.794458\pi\) | |||||||
\(234\) | −1.06126 | + | 28.8068i | −0.0693770 | + | 1.88316i | ||||
\(235\) | −0.197657 | + | 1.88058i | −0.0128937 | + | 0.122676i | ||||
\(236\) | 0.878279 | − | 4.13198i | 0.0571711 | − | 0.268969i | ||||
\(237\) | −8.31026 | − | 15.0261i | −0.539809 | − | 0.976048i | ||||
\(238\) | −0.443338 | + | 0.154095i | −0.0287373 | + | 0.00998851i | ||||
\(239\) | 2.31308 | − | 1.68055i | 0.149621 | − | 0.108706i | −0.510456 | − | 0.859904i | \(-0.670524\pi\) |
0.660077 | + | 0.751198i | \(0.270524\pi\) | |||||||
\(240\) | −17.8595 | − | 13.4850i | −1.15283 | − | 0.870451i | ||||
\(241\) | −12.2080 | + | 7.04829i | −0.786387 | + | 0.454021i | −0.838689 | − | 0.544611i | \(-0.816677\pi\) |
0.0523023 | + | 0.998631i | \(0.483344\pi\) | |||||||
\(242\) | −16.9368 | + | 0.892872i | −1.08874 | + | 0.0573960i | ||||
\(243\) | 14.1594 | − | 6.52017i | 0.908323 | − | 0.418269i | ||||
\(244\) | 0.167612 | + | 0.0544605i | 0.0107303 | + | 0.00348648i | ||||
\(245\) | −8.69836 | − | 17.5744i | −0.555718 | − | 1.12279i | ||||
\(246\) | −5.47609 | + | 11.7142i | −0.349143 | + | 0.746869i | ||||
\(247\) | −22.4548 | − | 4.77291i | −1.42876 | − | 0.303693i | ||||
\(248\) | −6.04102 | + | 6.70923i | −0.383605 | + | 0.426037i | ||||
\(249\) | 17.7085 | − | 1.53219i | 1.12223 | − | 0.0970986i | ||||
\(250\) | −9.24661 | + | 0.971858i | −0.584807 | + | 0.0614657i | ||||
\(251\) | −9.22758 | − | 2.99822i | −0.582440 | − | 0.189246i | 0.00295363 | − | 0.999996i | \(-0.499060\pi\) |
−0.585393 | + | 0.810750i | \(0.699060\pi\) | |||||||
\(252\) | −0.670773 | + | 2.91857i | −0.0422547 | + | 0.183853i | ||||
\(253\) | −10.1396 | − | 0.796425i | −0.637470 | − | 0.0500708i | ||||
\(254\) | 15.9334 | + | 9.19913i | 0.999748 | + | 0.577205i | ||||
\(255\) | 0.514087 | − | 0.217636i | 0.0321934 | − | 0.0136289i | ||||
\(256\) | 7.99629 | + | 3.56018i | 0.499768 | + | 0.222511i | ||||
\(257\) | 1.01105 | + | 2.27086i | 0.0630676 | + | 0.141652i | 0.942330 | − | 0.334686i | \(-0.108630\pi\) |
−0.879262 | + | 0.476338i | \(0.841964\pi\) | |||||||
\(258\) | 9.46836 | + | 17.1201i | 0.589474 | + | 1.06585i | ||||
\(259\) | −4.77152 | + | 4.47550i | −0.296488 | + | 0.278094i | ||||
\(260\) | 5.32875 | + | 3.87157i | 0.330475 | + | 0.240104i | ||||
\(261\) | 7.46225 | + | 14.0996i | 0.461902 | + | 0.872744i | ||||
\(262\) | 1.45964 | − | 0.310255i | 0.0901767 | − | 0.0191676i | ||||
\(263\) | 2.00110 | + | 3.46600i | 0.123393 | + | 0.213723i | 0.921104 | − | 0.389318i | \(-0.127289\pi\) |
−0.797711 | + | 0.603040i | \(0.793956\pi\) | |||||||
\(264\) | 10.7569 | + | 9.53230i | 0.662039 | + | 0.586672i | ||||
\(265\) | 10.4346 | 0.640990 | ||||||||
\(266\) | −13.8493 | − | 5.83125i | −0.849153 | − | 0.357537i | ||||
\(267\) | 12.5077 | − | 13.3871i | 0.765458 | − | 0.819277i | ||||
\(268\) | −2.04032 | + | 0.908410i | −0.124632 | + | 0.0554899i | ||||
\(269\) | 5.61174 | + | 5.05284i | 0.342154 | + | 0.308077i | 0.822236 | − | 0.569147i | \(-0.192726\pi\) |
−0.480082 | + | 0.877224i | \(0.659393\pi\) | |||||||
\(270\) | 3.57464 | − | 22.1568i | 0.217546 | − | 1.34842i | ||||
\(271\) | 4.74024 | + | 10.6468i | 0.287949 | + | 0.646745i | 0.998372 | − | 0.0570300i | \(-0.0181631\pi\) |
−0.710423 | + | 0.703775i | \(0.751496\pi\) | |||||||
\(272\) | −0.429319 | + | 0.311918i | −0.0260313 | + | 0.0189128i | ||||
\(273\) | −5.88331 | + | 27.9460i | −0.356074 | + | 1.69137i | ||||
\(274\) | 7.80883i | 0.471749i | ||||||||
\(275\) | −9.44047 | + | 0.248668i | −0.569282 | + | 0.0149953i | ||||
\(276\) | −1.31329 | − | 1.51370i | −0.0790509 | − | 0.0911139i | ||||
\(277\) | −6.30591 | − | 29.6670i | −0.378886 | − | 1.78252i | −0.592471 | − | 0.805592i | \(-0.701847\pi\) |
0.213585 | − | 0.976924i | \(-0.431486\pi\) | |||||||
\(278\) | 30.1395 | − | 3.16779i | 1.80765 | − | 0.189991i | ||||
\(279\) | −10.4987 | − | 2.63901i | −0.628540 | − | 0.157993i | ||||
\(280\) | −12.6860 | − | 13.5251i | −0.758135 | − | 0.808281i | ||||
\(281\) | 2.18997 | + | 6.74004i | 0.130643 | + | 0.402077i | 0.994887 | − | 0.100996i | \(-0.0322028\pi\) |
−0.864244 | + | 0.503073i | \(0.832203\pi\) | |||||||
\(282\) | 1.47765 | − | 1.03255i | 0.0879929 | − | 0.0614877i | ||||
\(283\) | 8.13040 | − | 18.2612i | 0.483302 | − | 1.08551i | −0.493182 | − | 0.869926i | \(-0.664166\pi\) |
0.976484 | − | 0.215588i | \(-0.0691668\pi\) | |||||||
\(284\) | 1.05764 | + | 4.97582i | 0.0627596 | + | 0.295261i | ||||
\(285\) | 16.8938 | + | 5.83512i | 1.00070 | + | 0.345643i | ||||
\(286\) | −24.2364 | − | 20.6934i | −1.43313 | − | 1.22362i | ||||
\(287\) | −7.31749 | + | 10.5153i | −0.431938 | + | 0.620700i | ||||
\(288\) | 0.428926 | + | 6.30771i | 0.0252747 | + | 0.371685i | ||||
\(289\) | 1.77560 | + | 16.8937i | 0.104447 | + | 0.993747i | ||||
\(290\) | 22.8416 | + | 2.40075i | 1.34131 | + | 0.140977i | ||||
\(291\) | −4.49431 | − | 2.70632i | −0.263461 | − | 0.158647i | ||||
\(292\) | 0.439931 | − | 2.06971i | 0.0257450 | − | 0.121121i | ||||
\(293\) | 14.8923 | + | 10.8199i | 0.870015 | + | 0.632103i | 0.930591 | − | 0.366061i | \(-0.119294\pi\) |
−0.0605760 | + | 0.998164i | \(0.519294\pi\) | |||||||
\(294\) | −7.22075 | + | 17.2431i | −0.421122 | + | 1.00564i | ||||
\(295\) | −9.69216 | + | 29.8294i | −0.564300 | + | 1.73674i | ||||
\(296\) | −3.09323 | + | 5.35763i | −0.179790 | + | 0.311406i | ||||
\(297\) | −4.06872 | + | 16.7465i | −0.236091 | + | 0.971731i | ||||
\(298\) | 3.28550 | + | 5.69066i | 0.190324 | + | 0.329651i | ||||
\(299\) | −12.7879 | − | 14.2024i | −0.739541 | − | 0.821343i | ||||
\(300\) | −1.35964 | − | 1.27033i | −0.0784991 | − | 0.0733424i | ||||
\(301\) | 6.36342 | + | 18.3078i | 0.366781 | + | 1.05524i | ||||
\(302\) | −13.6337 | + | 4.42987i | −0.784534 | + | 0.254911i | ||||
\(303\) | 0.208478 | − | 11.3216i | 0.0119767 | − | 0.650411i | ||||
\(304\) | −16.8967 | − | 1.77592i | −0.969094 | − | 0.101856i | ||||
\(305\) | −1.19540 | − | 0.532228i | −0.0684486 | − | 0.0304753i | ||||
\(306\) | −0.477888 | − | 0.234217i | −0.0273191 | − | 0.0133893i | ||||
\(307\) | 2.68499i | 0.153240i | 0.997060 | + | 0.0766201i | \(0.0244129\pi\) | ||||
−0.997060 | + | 0.0766201i | \(0.975587\pi\) | |||||||
\(308\) | −2.06889 | − | 2.58468i | −0.117886 | − | 0.147276i | ||||
\(309\) | 5.04100 | + | 26.0671i | 0.286773 | + | 1.48291i | ||||
\(310\) | −11.5823 | + | 10.4288i | −0.657831 | + | 0.592314i | ||||
\(311\) | −1.97732 | + | 4.44113i | −0.112123 | + | 0.251833i | −0.960888 | − | 0.276938i | \(-0.910680\pi\) |
0.848764 | + | 0.528771i | \(0.177347\pi\) | |||||||
\(312\) | 2.32798 | + | 26.9061i | 0.131796 | + | 1.52326i | ||||
\(313\) | −12.8614 | − | 2.73377i | −0.726969 | − | 0.154522i | −0.170461 | − | 0.985364i | \(-0.554526\pi\) |
−0.556508 | + | 0.830842i | \(0.687859\pi\) | |||||||
\(314\) | −4.73944 | − | 14.5865i | −0.267462 | − | 0.823163i | ||||
\(315\) | 7.21819 | − | 21.0305i | 0.406699 | − | 1.18494i | ||||
\(316\) | 2.19852 | + | 3.02601i | 0.123677 | + | 0.170226i | ||||
\(317\) | 21.5549 | − | 19.4081i | 1.21064 | − | 1.09007i | 0.217155 | − | 0.976137i | \(-0.430322\pi\) |
0.993489 | − | 0.113932i | \(-0.0363445\pi\) | |||||||
\(318\) | −6.51893 | − | 7.51371i | −0.365564 | − | 0.421348i | ||||
\(319\) | −17.3414 | − | 3.21126i | −0.970931 | − | 0.179796i | ||||
\(320\) | −14.4958 | − | 8.36914i | −0.810339 | − | 0.467849i | ||||
\(321\) | 16.1235 | + | 1.99541i | 0.899926 | + | 0.111373i | ||||
\(322\) | −6.47413 | − | 10.7042i | −0.360789 | − | 0.596523i | ||||
\(323\) | 0.249119 | − | 0.342883i | 0.0138613 | − | 0.0190785i | ||||
\(324\) | −2.88654 | + | 1.78835i | −0.160363 | + | 0.0993529i | ||||
\(325\) | −13.1871 | − | 11.8737i | −0.731488 | − | 0.658635i | ||||
\(326\) | 2.06573 | − | 19.6541i | 0.114410 | − | 1.08854i | ||||
\(327\) | −9.41698 | − | 30.9075i | −0.520760 | − | 1.70919i | ||||
\(328\) | −3.74363 | + | 11.5217i | −0.206707 | + | 0.636180i | ||||
\(329\) | 1.61640 | − | 0.759463i | 0.0891150 | − | 0.0418706i | ||||
\(330\) | 16.7480 | + | 18.3068i | 0.921947 | + | 1.00775i | ||||
\(331\) | −8.79063 | + | 15.2258i | −0.483176 | + | 0.836886i | −0.999813 | − | 0.0193184i | \(-0.993850\pi\) |
0.516637 | + | 0.856205i | \(0.327184\pi\) | |||||||
\(332\) | −3.78725 | + | 0.805005i | −0.207852 | + | 0.0441804i | ||||
\(333\) | −7.41288 | − | 0.273096i | −0.406223 | − | 0.0149656i | ||||
\(334\) | 28.6265 | − | 12.7453i | 1.56637 | − | 0.697394i | ||||
\(335\) | 15.7710 | − | 5.12432i | 0.861663 | − | 0.279971i | ||||
\(336\) | −2.16840 | + | 21.0244i | −0.118296 | + | 1.14697i | ||||
\(337\) | 7.02448 | − | 9.66836i | 0.382648 | − | 0.526669i | −0.573636 | − | 0.819110i | \(-0.694468\pi\) |
0.956284 | + | 0.292441i | \(0.0944676\pi\) | |||||||
\(338\) | −4.16420 | − | 39.6197i | −0.226503 | − | 2.15503i | ||||
\(339\) | 3.88213 | − | 1.64348i | 0.210848 | − | 0.0892614i | ||||
\(340\) | −0.105313 | + | 0.0608025i | −0.00571140 | + | 0.00329748i | ||||
\(341\) | 9.49357 | − | 7.28700i | 0.514105 | − | 0.394613i | ||||
\(342\) | −6.35255 | − | 15.8103i | −0.343507 | − | 0.854925i | ||||
\(343\) | −9.95114 | + | 15.6197i | −0.537311 | + | 0.843384i | ||||
\(344\) | 10.7734 | + | 14.8283i | 0.580864 | + | 0.799491i | ||||
\(345\) | 8.52273 | + | 12.1966i | 0.458849 | + | 0.656643i | ||||
\(346\) | 20.1490 | − | 22.3777i | 1.08322 | − | 1.20303i | ||||
\(347\) | −0.587115 | + | 0.652057i | −0.0315180 | + | 0.0350042i | −0.758698 | − | 0.651443i | \(-0.774164\pi\) |
0.727180 | + | 0.686447i | \(0.240831\pi\) | |||||||
\(348\) | −1.99041 | − | 2.84841i | −0.106697 | − | 0.152691i | ||||
\(349\) | −9.68706 | − | 13.3331i | −0.518536 | − | 0.713704i | 0.466793 | − | 0.884366i | \(-0.345409\pi\) |
−0.985330 | + | 0.170663i | \(0.945409\pi\) | |||||||
\(350\) | −7.01730 | − | 9.25622i | −0.375091 | − | 0.494766i | ||||
\(351\) | −27.2088 | + | 17.5585i | −1.45230 | + | 0.937206i | ||||
\(352\) | −5.76088 | − | 3.95803i | −0.307056 | − | 0.210964i | ||||
\(353\) | −11.9580 | + | 6.90393i | −0.636458 | + | 0.367459i | −0.783249 | − | 0.621708i | \(-0.786439\pi\) |
0.146791 | + | 0.989168i | \(0.453106\pi\) | |||||||
\(354\) | 27.5347 | − | 11.6566i | 1.46345 | − | 0.619543i | ||||
\(355\) | −3.94802 | − | 37.5629i | −0.209539 | − | 1.99363i | ||||
\(356\) | −2.34576 | + | 3.22866i | −0.124325 | + | 0.171119i | ||||
\(357\) | −0.427160 | − | 0.309082i | −0.0226077 | − | 0.0163584i | ||||
\(358\) | 2.97618 | − | 0.967020i | 0.157296 | − | 0.0511086i | ||||
\(359\) | −1.73824 | + | 0.773912i | −0.0917406 | + | 0.0408455i | −0.452094 | − | 0.891970i | \(-0.649323\pi\) |
0.360353 | + | 0.932816i | \(0.382656\pi\) | |||||||
\(360\) | 0.774104 | − | 21.0122i | 0.0407989 | − | 1.10744i | ||||
\(361\) | −5.31213 | + | 1.12913i | −0.279586 | + | 0.0594278i | ||||
\(362\) | 5.03120 | − | 8.71430i | 0.264434 | − | 0.458013i | ||||
\(363\) | −11.7202 | − | 15.0212i | −0.615150 | − | 0.788410i | ||||
\(364\) | 0.524187 | − | 6.19879i | 0.0274749 | − | 0.324905i | ||||
\(365\) | −4.85482 | + | 14.9416i | −0.254113 | + | 0.782078i | ||||
\(366\) | 0.363576 | + | 1.19329i | 0.0190044 | + | 0.0623744i | ||||
\(367\) | −0.382275 | + | 3.63711i | −0.0199546 | + | 0.189855i | −0.999958 | − | 0.00912350i | \(-0.997096\pi\) |
0.980004 | + | 0.198979i | \(0.0637625\pi\) | |||||||
\(368\) | −10.5110 | − | 9.46415i | −0.547924 | − | 0.493353i | ||||
\(369\) | −14.3103 | + | 2.49500i | −0.744962 | + | 0.129885i | ||||
\(370\) | −6.27745 | + | 8.64016i | −0.326349 | + | 0.449181i | ||||
\(371\) | −5.10026 | − | 8.43268i | −0.264792 | − | 0.437803i | ||||
\(372\) | 2.34021 | + | 0.289620i | 0.121334 | + | 0.0150161i | ||||
\(373\) | −27.4023 | − | 15.8207i | −1.41884 | − | 0.819167i | −0.422641 | − | 0.906297i | \(-0.638897\pi\) |
−0.996197 | + | 0.0871304i | \(0.972230\pi\) | |||||||
\(374\) | 0.531013 | − | 0.253381i | 0.0274580 | − | 0.0131020i | ||||
\(375\) | −6.84464 | − | 7.88913i | −0.353456 | − | 0.407393i | ||||
\(376\) | 1.25508 | − | 1.13007i | 0.0647256 | − | 0.0582792i | ||||
\(377\) | −19.4785 | − | 26.8098i | −1.00319 | − | 1.38078i | ||||
\(378\) | −19.6532 | + | 7.94105i | −1.01085 | + | 0.408443i | ||||
\(379\) | 4.21106 | + | 12.9603i | 0.216308 | + | 0.665726i | 0.999058 | + | 0.0433906i | \(0.0138160\pi\) |
−0.782751 | + | 0.622335i | \(0.786184\pi\) | |||||||
\(380\) | −3.80822 | − | 0.809462i | −0.195358 | − | 0.0415245i | ||||
\(381\) | 1.78158 | + | 20.5910i | 0.0912734 | + | 1.05491i | ||||
\(382\) | −13.4222 | + | 30.1467i | −0.686737 | + | 1.54244i | ||||
\(383\) | 18.4681 | − | 16.6287i | 0.943673 | − | 0.849687i | −0.0451194 | − | 0.998982i | \(-0.514367\pi\) |
0.988793 | + | 0.149294i | \(0.0477002\pi\) | |||||||
\(384\) | 4.41581 | + | 22.8342i | 0.225343 | + | 1.16525i | ||||
\(385\) | 13.2710 | + | 20.6913i | 0.676352 | + | 1.05453i | ||||
\(386\) | − | 31.5858i | − | 1.60767i | ||||||
\(387\) | −9.67208 | + | 19.7346i | −0.491660 | + | 1.00316i | ||||
\(388\) | 1.04399 | + | 0.464813i | 0.0530004 | + | 0.0235973i | ||||
\(389\) | 21.6008 | + | 2.27033i | 1.09520 | + | 0.115111i | 0.634858 | − | 0.772629i | \(-0.281059\pi\) |
0.460346 | + | 0.887740i | \(0.347725\pi\) | |||||||
\(390\) | −0.858360 | + | 46.6142i | −0.0434647 | + | 2.36040i | ||||
\(391\) | 0.335565 | − | 0.109032i | 0.0169703 | − | 0.00551397i | ||||
\(392\) | −4.72958 | + | 16.8631i | −0.238880 | + | 0.851714i | ||||
\(393\) | 1.22489 | + | 1.14443i | 0.0617877 | + | 0.0577288i | ||||
\(394\) | 11.5042 | + | 12.7767i | 0.579574 | + | 0.643682i | ||||
\(395\) | −13.8857 | − | 24.0507i | −0.698665 | − | 1.21012i | ||||
\(396\) | 0.431541 | − | 3.72912i | 0.0216857 | − | 0.187395i | ||||
\(397\) | 0.109118 | − | 0.188997i | 0.00547646 | − | 0.00948550i | −0.863274 | − | 0.504735i | \(-0.831590\pi\) |
0.868751 | + | 0.495250i | \(0.164923\pi\) | |||||||
\(398\) | 0.453997 | − | 1.39726i | 0.0227568 | − | 0.0700382i | ||||
\(399\) | −3.54178 | − | 16.5048i | −0.177311 | − | 0.826274i | ||||
\(400\) | −10.6247 | − | 7.71930i | −0.531235 | − | 0.385965i | ||||
\(401\) | −2.33429 | + | 10.9820i | −0.116569 | + | 0.548415i | 0.880642 | + | 0.473782i | \(0.157112\pi\) |
−0.997211 | + | 0.0746323i | \(0.976222\pi\) | |||||||
\(402\) | −13.5428 | − | 8.15500i | −0.675452 | − | 0.406735i | ||||
\(403\) | 22.3645 | + | 2.35061i | 1.11406 | + | 0.117092i | ||||
\(404\) | 0.257831 | + | 2.45310i | 0.0128276 | + | 0.122046i | ||||
\(405\) | 22.7025 | − | 10.9652i | 1.12810 | − | 0.544864i | ||||
\(406\) | −9.22449 | − | 19.6329i | −0.457804 | − | 0.974365i | ||||
\(407\) | 5.32503 | − | 6.23677i | 0.263952 | − | 0.309145i | ||||
\(408\) | −0.471281 | − | 0.162781i | −0.0233319 | − | 0.00805884i | ||||
\(409\) | 2.03103 | + | 9.55523i | 0.100428 | + | 0.472476i | 0.999405 | + | 0.0344811i | \(0.0109778\pi\) |
−0.898978 | + | 0.437995i | \(0.855689\pi\) | |||||||
\(410\) | −8.50641 | + | 19.1057i | −0.420101 | + | 0.943563i | ||||
\(411\) | −7.19053 | + | 5.02460i | −0.354683 | + | 0.247845i | ||||
\(412\) | −1.78717 | − | 5.50033i | −0.0880474 | − | 0.270982i | ||||
\(413\) | 28.8440 | − | 6.74746i | 1.41932 | − | 0.332021i | ||||
\(414\) | 3.45799 | − | 13.7568i | 0.169951 | − | 0.676110i | ||||
\(415\) | 28.5903 | − | 3.00496i | 1.40344 | − | 0.147508i | ||||
\(416\) | −2.73060 | − | 12.8465i | −0.133879 | − | 0.629851i | ||||
\(417\) | 22.3103 | + | 25.7148i | 1.09254 | + | 1.25926i | ||||
\(418\) | 18.0622 | + | 5.34724i | 0.883453 | + | 0.261542i | ||||
\(419\) | 30.9478i | 1.51190i | 0.654629 | + | 0.755950i | \(0.272825\pi\) | ||||
−0.654629 | + | 0.755950i | \(0.727175\pi\) | |||||||
\(420\) | −0.997780 | + | 4.73951i | −0.0486867 | + | 0.231264i | ||||
\(421\) | −16.1660 | + | 11.7453i | −0.787880 | + | 0.572429i | −0.907334 | − | 0.420411i | \(-0.861886\pi\) |
0.119453 | + | 0.992840i | \(0.461886\pi\) | |||||||
\(422\) | 6.53299 | + | 14.6733i | 0.318021 | + | 0.714286i | ||||
\(423\) | 1.90159 | + | 0.696256i | 0.0924587 | + | 0.0338531i | ||||
\(424\) | −6.92574 | − | 6.23597i | −0.336344 | − | 0.302845i | ||||
\(425\) | 0.299288 | − | 0.133252i | 0.0145176 | − | 0.00646365i | ||||
\(426\) | −24.5818 | + | 26.3101i | −1.19099 | + | 1.27473i | ||||
\(427\) | 0.154176 | + | 1.22621i | 0.00746110 | + | 0.0593405i | ||||
\(428\) | −3.53897 | −0.171063 | ||||||||
\(429\) | 3.45994 | − | 35.6325i | 0.167048 | − | 1.72035i | ||||
\(430\) | 15.8208 | + | 27.4024i | 0.762945 | + | 1.32146i | ||||
\(431\) | 33.6612 | − | 7.15491i | 1.62140 | − | 0.344640i | 0.694370 | − | 0.719618i | \(-0.255683\pi\) |
0.927034 | + | 0.374978i | \(0.122350\pi\) | |||||||
\(432\) | −18.6683 | + | 15.0286i | −0.898178 | + | 0.723063i | ||||
\(433\) | 0.184946 | + | 0.134371i | 0.00888793 | + | 0.00645746i | 0.592220 | − | 0.805776i | \(-0.298252\pi\) |
−0.583332 | + | 0.812234i | \(0.698252\pi\) | |||||||
\(434\) | 14.0893 | + | 4.26281i | 0.676306 | + | 0.204622i | ||||
\(435\) | 12.4868 | + | 22.5778i | 0.598697 | + | 1.08252i | ||||
\(436\) | 2.86267 | + | 6.42966i | 0.137097 | + | 0.307925i | ||||
\(437\) | 10.3197 | + | 4.59462i | 0.493658 | + | 0.219791i | ||||
\(438\) | 13.7922 | − | 5.83882i | 0.659015 | − | 0.278990i | ||||
\(439\) | −17.5858 | − | 10.1531i | −0.839323 | − | 0.484583i | 0.0177112 | − | 0.999843i | \(-0.494362\pi\) |
−0.857034 | + | 0.515260i | \(0.827695\pi\) | |||||||
\(440\) | 17.6784 | + | 15.0941i | 0.842786 | + | 0.719582i | ||||
\(441\) | −20.5240 | + | 4.44604i | −0.977331 | + | 0.211716i | ||||
\(442\) | 1.05144 | + | 0.341635i | 0.0500121 | + | 0.0162499i | ||||
\(443\) | −37.8791 | + | 3.98125i | −1.79969 | + | 0.189155i | −0.944356 | − | 0.328924i | \(-0.893314\pi\) |
−0.855333 | + | 0.518079i | \(0.826647\pi\) | |||||||
\(444\) | 1.60983 | − | 0.139286i | 0.0763990 | − | 0.00661024i | ||||
\(445\) | 19.8272 | − | 22.0203i | 0.939898 | − | 1.04386i | ||||
\(446\) | −39.5773 | − | 8.41241i | −1.87404 | − | 0.398339i | ||||
\(447\) | −3.12602 | + | 6.68702i | −0.147856 | + | 0.316285i | ||||
\(448\) | 0.321807 | + | 15.8055i | 0.0152039 | + | 0.746738i | ||||
\(449\) | 3.27958 | + | 1.06560i | 0.154773 | + | 0.0502888i | 0.385379 | − | 0.922758i | \(-0.374071\pi\) |
−0.230606 | + | 0.973047i | \(0.574071\pi\) | |||||||
\(450\) | 1.85802 | − | 13.0390i | 0.0875879 | − | 0.614666i | ||||
\(451\) | 7.66063 | − | 14.1143i | 0.360725 | − | 0.664617i | ||||
\(452\) | −0.795272 | + | 0.459150i | −0.0374064 | + | 0.0215966i | ||||
\(453\) | −12.8518 | − | 9.70383i | −0.603829 | − | 0.455926i | ||||
\(454\) | −8.26139 | + | 6.00225i | −0.387726 | + | 0.281700i | ||||
\(455\) | −8.68157 | + | 45.3659i | −0.406998 | + | 2.12678i | ||||
\(456\) | −7.72571 | − | 13.9691i | −0.361790 | − | 0.654164i | ||||
\(457\) | 0.275934 | − | 1.29817i | 0.0129077 | − | 0.0607258i | −0.971222 | − | 0.238174i | \(-0.923451\pi\) |
0.984130 | + | 0.177449i | \(0.0567844\pi\) | |||||||
\(458\) | 1.38177 | − | 13.1466i | 0.0645658 | − | 0.614302i | ||||
\(459\) | −0.0918257 | − | 0.590757i | −0.00428606 | − | 0.0275742i | ||||
\(460\) | −2.16876 | − | 2.40865i | −0.101119 | − | 0.112304i | ||||
\(461\) | −5.03276 | −0.234399 | −0.117200 | − | 0.993108i | \(-0.537392\pi\) | ||||
−0.117200 | + | 0.993108i | \(0.537392\pi\) | |||||||
\(462\) | 6.60842 | − | 22.4830i | 0.307452 | − | 1.04600i | ||||
\(463\) | 27.0883 | 1.25890 | 0.629449 | − | 0.777042i | \(-0.283281\pi\) | ||||
0.629449 | + | 0.777042i | \(0.283281\pi\) | |||||||
\(464\) | −16.4109 | − | 18.2261i | −0.761855 | − | 0.846126i | ||||
\(465\) | −17.0557 | − | 3.95484i | −0.790938 | − | 0.183401i | ||||
\(466\) | −0.429032 | + | 4.08196i | −0.0198745 | + | 0.189093i | ||||
\(467\) | −3.60083 | + | 16.9406i | −0.166627 | + | 0.783916i | 0.812868 | + | 0.582447i | \(0.197905\pi\) |
−0.979495 | + | 0.201469i | \(0.935429\pi\) | |||||||
\(468\) | 5.41225 | − | 4.52376i | 0.250181 | − | 0.209111i | ||||
\(469\) | −11.8498 | − | 10.2406i | −0.547175 | − | 0.472869i | ||||
\(470\) | 2.35872 | − | 1.71371i | 0.108800 | − | 0.0790476i | ||||
\(471\) | 10.3819 | − | 13.7499i | 0.478375 | − | 0.633560i | ||||
\(472\) | 24.2598 | − | 14.0064i | 1.11665 | − | 0.644698i | ||||
\(473\) | −10.4635 | − | 21.9284i | −0.481110 | − | 1.00827i | ||||
\(474\) | −8.64343 | + | 25.0244i | −0.397006 | + | 1.14941i | ||||
\(475\) | 9.97542 | + | 3.24121i | 0.457704 | + | 0.148717i | ||||
\(476\) | 0.100613 | + | 0.0553893i | 0.00461159 | + | 0.00253876i | ||||
\(477\) | 2.72417 | − | 10.8375i | 0.124731 | − | 0.496214i | ||||
\(478\) | −4.31201 | − | 0.916545i | −0.197227 | − | 0.0419218i | ||||
\(479\) | −1.35123 | + | 1.50070i | −0.0617395 | + | 0.0685686i | −0.773223 | − | 0.634134i | \(-0.781357\pi\) |
0.711484 | + | 0.702702i | \(0.248023\pi\) | |||||||
\(480\) | 0.881427 | + | 10.1872i | 0.0402314 | + | 0.464981i | ||||
\(481\) | 15.3251 | − | 1.61073i | 0.698762 | − | 0.0734429i | ||||
\(482\) | 20.6710 | + | 6.71642i | 0.941538 | + | 0.305924i | ||||
\(483\) | 5.69088 | − | 12.8492i | 0.258944 | − | 0.584657i | ||||
\(484\) | 2.93555 | + | 2.93374i | 0.133434 | + | 0.133352i | ||||
\(485\) | −7.34820 | − | 4.24248i | −0.333665 | − | 0.192641i | ||||
\(486\) | −22.0791 | − | 9.49718i | −1.00153 | − | 0.430801i | ||||
\(487\) | −26.7404 | − | 11.9056i | −1.21172 | − | 0.539494i | −0.301443 | − | 0.953484i | \(-0.597468\pi\) |
−0.910281 | + | 0.413990i | \(0.864135\pi\) | |||||||
\(488\) | 0.475354 | + | 1.06766i | 0.0215182 | + | 0.0483308i | ||||
\(489\) | 19.4271 | − | 10.7443i | 0.878522 | − | 0.485872i | ||||
\(490\) | −11.1630 | + | 28.0982i | −0.504293 | + | 1.26935i | ||||
\(491\) | 5.45828 | + | 3.96567i | 0.246329 | + | 0.178968i | 0.704098 | − | 0.710103i | \(-0.251351\pi\) |
−0.457769 | + | 0.889071i | \(0.651351\pi\) | |||||||
\(492\) | 3.02685 | − | 0.922228i | 0.136461 | − | 0.0415772i | ||||
\(493\) | 0.598445 | − | 0.127203i | 0.0269526 | − | 0.00572896i | ||||
\(494\) | 17.6977 | + | 30.6532i | 0.796255 | + | 1.37915i | ||||
\(495\) | −6.08074 | + | 27.2014i | −0.273309 | + | 1.22261i | ||||
\(496\) | 16.6429 | 0.747289 | ||||||||
\(497\) | −28.4267 | + | 21.5508i | −1.27511 | + | 0.966685i | ||||
\(498\) | −20.0255 | − | 18.7100i | −0.897362 | − | 0.838414i | ||||
\(499\) | 6.16522 | − | 2.74493i | 0.275993 | − | 0.122880i | −0.264073 | − | 0.964503i | \(-0.585066\pi\) |
0.540066 | + | 0.841623i | \(0.318399\pi\) | |||||||
\(500\) | 1.69074 | + | 1.52235i | 0.0756124 | + | 0.0680817i | ||||
\(501\) | 30.1559 | + | 18.1589i | 1.34727 | + | 0.811279i | ||||
\(502\) | 6.08465 | + | 13.6664i | 0.271571 | + | 0.609959i | ||||
\(503\) | 2.46312 | − | 1.78957i | 0.109825 | − | 0.0797928i | −0.531517 | − | 0.847048i | \(-0.678378\pi\) |
0.641342 | + | 0.767255i | \(0.278378\pi\) | |||||||
\(504\) | −17.3593 | + | 9.64485i | −0.773247 | + | 0.429616i | ||||
\(505\) | − | 18.3141i | − | 0.814966i | ||||||
\(506\) | 9.54842 | + | 12.4398i | 0.424479 | + | 0.553015i | ||||
\(507\) | 33.8032 | − | 29.3278i | 1.50125 | − | 1.30249i | ||||
\(508\) | −0.936035 | − | 4.40370i | −0.0415299 | − | 0.195383i | ||||
\(509\) | −8.11358 | + | 0.852772i | −0.359628 | + | 0.0377985i | −0.282620 | − | 0.959232i | \(-0.591203\pi\) |
−0.0770084 | + | 0.997030i | \(0.524537\pi\) | |||||||
\(510\) | −0.779753 | − | 0.364515i | −0.0345280 | − | 0.0161410i | ||||
\(511\) | 14.4480 | − | 3.37981i | 0.639141 | − | 0.149514i | ||||
\(512\) | 4.12827 | + | 12.7055i | 0.182446 | + | 0.561510i | ||||
\(513\) | 10.4709 | − | 16.0227i | 0.462303 | − | 0.707421i | ||||
\(514\) | 1.55888 | − | 3.50131i | 0.0687595 | − | 0.154436i | ||||
\(515\) | 8.92785 | + | 42.0022i | 0.393408 | + | 1.85084i | ||||
\(516\) | 1.56294 | − | 4.52500i | 0.0688044 | − | 0.199202i | ||||
\(517\) | −1.90869 | + | 1.17005i | −0.0839441 | + | 0.0514589i | ||||
\(518\) | 10.0509 | + | 0.849929i | 0.441610 | + | 0.0373437i | ||||
\(519\) | 33.5707 | + | 4.15464i | 1.47359 | + | 0.182369i | ||||
\(520\) | 4.56569 | + | 43.4396i | 0.200219 | + | 1.90495i | ||||
\(521\) | −8.75256 | − | 0.919931i | −0.383457 | − | 0.0403029i | −0.0891607 | − | 0.996017i | \(-0.528418\pi\) |
−0.294296 | + | 0.955714i | \(0.595085\pi\) | |||||||
\(522\) | 8.45677 | − | 23.0969i | 0.370143 | − | 1.01092i | ||||
\(523\) | 5.39695 | − | 25.3907i | 0.235992 | − | 1.11026i | −0.687364 | − | 0.726313i | \(-0.741232\pi\) |
0.923357 | − | 0.383943i | \(-0.125434\pi\) | |||||||
\(524\) | −0.295416 | − | 0.214633i | −0.0129053 | − | 0.00937627i | ||||
\(525\) | 4.00803 | − | 12.4176i | 0.174925 | − | 0.541948i | ||||
\(526\) | 1.90687 | − | 5.86875i | 0.0831435 | − | 0.255890i | ||||
\(527\) | −0.207586 | + | 0.359550i | −0.00904261 | + | 0.0156623i | ||||
\(528\) | −0.209907 | − | 26.4944i | −0.00913504 | − | 1.15302i | ||||
\(529\) | −6.79793 | − | 11.7744i | −0.295562 | − | 0.511929i | ||||
\(530\) | −10.7653 | − | 11.9561i | −0.467615 | − | 0.519339i | ||||
\(531\) | 28.4509 | + | 17.8540i | 1.23466 | + | 0.774799i | ||||
\(532\) | 1.20723 | + | 3.47326i | 0.0523403 | + | 0.150585i | ||||
\(533\) | 28.6987 | − | 9.32478i | 1.24308 | − | 0.403901i | ||||
\(534\) | −28.2433 | − | 0.520075i | −1.22221 | − | 0.0225059i | ||||
\(535\) | 26.1322 | + | 2.74661i | 1.12980 | + | 0.118746i | ||||
\(536\) | −13.5301 | − | 6.02401i | −0.584413 | − | 0.260198i | ||||
\(537\) | 2.80548 | + | 2.11830i | 0.121065 | + | 0.0914114i | ||||
\(538\) | − | 11.6430i | − | 0.501966i | ||||||
\(539\) | 10.2350 | − | 20.8385i | 0.440853 | − | 0.897579i | ||||
\(540\) | −4.61448 | + | 2.97784i | −0.198575 | + | 0.128146i | ||||
\(541\) | −8.48606 | + | 7.64088i | −0.364844 | + | 0.328507i | −0.831080 | − | 0.556154i | \(-0.812277\pi\) |
0.466235 | + | 0.884661i | \(0.345610\pi\) | |||||||
\(542\) | 7.30873 | − | 16.4157i | 0.313937 | − | 0.705114i | ||||
\(543\) | 11.2616 | − | 0.974387i | 0.483283 | − | 0.0418150i | ||||
\(544\) | 0.237174 | + | 0.0504130i | 0.0101688 | + | 0.00216144i | ||||
\(545\) | −16.1482 | − | 49.6992i | −0.691714 | − | 2.12888i | ||||
\(546\) | 38.0908 | − | 22.0907i | 1.63014 | − | 0.945393i | ||||
\(547\) | 10.5858 | + | 14.5701i | 0.452618 | + | 0.622975i | 0.972957 | − | 0.230985i | \(-0.0741947\pi\) |
−0.520340 | + | 0.853959i | \(0.674195\pi\) | |||||||
\(548\) | 1.42002 | − | 1.27860i | 0.0606604 | − | 0.0546189i | ||||
\(549\) | −0.864866 | + | 1.10261i | −0.0369116 | + | 0.0470584i | ||||
\(550\) | 10.0246 | + | 10.5605i | 0.427452 | + | 0.450301i | ||||
\(551\) | 16.9635 | + | 9.79391i | 0.722671 | + | 0.417234i | ||||
\(552\) | 1.63220 | − | 13.1887i | 0.0694711 | − | 0.561347i | ||||
\(553\) | −12.6495 | + | 22.9773i | −0.537909 | + | 0.977096i | ||||
\(554\) | −27.4871 | + | 37.8328i | −1.16782 | + | 1.60736i | ||||
\(555\) | −11.9953 | − | 0.220882i | −0.509171 | − | 0.00937593i | ||||
\(556\) | −5.51102 | − | 4.96214i | −0.233719 | − | 0.210442i | ||||
\(557\) | 1.41510 | − | 13.4637i | 0.0599595 | − | 0.570477i | −0.922760 | − | 0.385375i | \(-0.874072\pi\) |
0.982719 | − | 0.185101i | \(-0.0592614\pi\) | |||||||
\(558\) | 7.80764 | + | 14.7522i | 0.330524 | + | 0.624511i | ||||
\(559\) | 14.1079 | − | 43.4197i | 0.596702 | − | 1.83646i | ||||
\(560\) | −2.88042 | + | 34.0625i | −0.121720 | + | 1.43940i | ||||
\(561\) | 0.574999 | + | 0.325929i | 0.0242765 | + | 0.0137607i | ||||
\(562\) | 5.46346 | − | 9.46298i | 0.230462 | − | 0.399172i | ||||
\(563\) | −10.6918 | + | 2.27260i | −0.450604 | + | 0.0957788i | −0.427623 | − | 0.903957i | \(-0.640649\pi\) |
−0.0229807 | + | 0.999736i | \(0.507316\pi\) | |||||||
\(564\) | −0.429715 | − | 0.0996416i | −0.0180943 | − | 0.00419567i | ||||
\(565\) | 6.22874 | − | 2.77321i | 0.262045 | − | 0.116670i | ||||
\(566\) | −29.3120 | + | 9.52406i | −1.23208 | + | 0.400326i | ||||
\(567\) | −19.9581 | − | 12.9874i | −0.838163 | − | 0.545419i | ||||
\(568\) | −19.8282 | + | 27.2911i | −0.831972 | + | 1.14511i | ||||
\(569\) | −0.411083 | − | 3.91119i | −0.0172335 | − | 0.163966i | 0.982520 | − | 0.186155i | \(-0.0596028\pi\) |
−0.999754 | + | 0.0221899i | \(0.992936\pi\) | |||||||
\(570\) | −10.7433 | − | 25.3772i | −0.449987 | − | 1.06294i | ||||
\(571\) | −19.8670 | + | 11.4702i | −0.831409 | + | 0.480014i | −0.854335 | − | 0.519723i | \(-0.826035\pi\) |
0.0229257 | + | 0.999737i | \(0.492702\pi\) | |||||||
\(572\) | 0.205342 | + | 7.79562i | 0.00858577 | + | 0.325951i | ||||
\(573\) | −36.3962 | + | 7.03849i | −1.52047 | + | 0.294037i | ||||
\(574\) | 19.5981 | − | 2.46414i | 0.818007 | − | 0.102851i | ||||
\(575\) | 5.13247 | + | 7.06423i | 0.214039 | + | 0.294599i | ||||
\(576\) | −12.4767 | + | 12.8706i | −0.519864 | + | 0.536274i | ||||
\(577\) | −15.3810 | + | 17.0823i | −0.640319 | + | 0.711147i | −0.972718 | − | 0.231992i | \(-0.925476\pi\) |
0.332398 | + | 0.943139i | \(0.392142\pi\) | |||||||
\(578\) | 17.5252 | − | 19.4637i | 0.728952 | − | 0.809583i | ||||
\(579\) | 29.0848 | − | 20.3239i | 1.20872 | − | 0.844632i | ||||
\(580\) | −3.30345 | − | 4.54681i | −0.137168 | − | 0.188796i | ||||
\(581\) | −16.4030 | − | 21.6365i | −0.680510 | − | 0.897631i | ||||
\(582\) | 1.53582 | + | 7.94176i | 0.0636618 | + | 0.329196i | ||||
\(583\) | 7.52215 | + | 9.79992i | 0.311536 | + | 0.405871i | ||||
\(584\) | 12.1518 | − | 7.01583i | 0.502844 | − | 0.290317i | ||||
\(585\) | −43.4757 | + | 29.2036i | −1.79750 | + | 1.20742i | ||||
\(586\) | −2.96673 | − | 28.2266i | −0.122555 | − | 1.16603i | ||||
\(587\) | 21.1584 | − | 29.1220i | 0.873299 | − | 1.20199i | −0.104933 | − | 0.994479i | \(-0.533463\pi\) |
0.978232 | − | 0.207514i | \(-0.0665371\pi\) | |||||||
\(588\) | 4.31793 | − | 1.51025i | 0.178068 | − | 0.0622815i | ||||
\(589\) | −12.6416 | + | 4.10750i | −0.520887 | + | 0.169246i | ||||
\(590\) | 44.1784 | − | 19.6695i | 1.81880 | − | 0.809780i | ||||
\(591\) | −4.36268 | + | 18.8145i | −0.179457 | + | 0.773926i | ||||
\(592\) | 11.1552 | − | 2.37110i | 0.458475 | − | 0.0974518i | ||||
\(593\) | −10.5952 | + | 18.3514i | −0.435093 | + | 0.753602i | −0.997303 | − | 0.0733917i | \(-0.976618\pi\) |
0.562211 | + | 0.826994i | \(0.309951\pi\) | |||||||
\(594\) | 23.3861 | − | 12.6153i | 0.959543 | − | 0.517613i | ||||
\(595\) | −0.699951 | − | 0.487088i | −0.0286952 | − | 0.0199686i | ||||
\(596\) | 0.496879 | − | 1.52924i | 0.0203530 | − | 0.0626400i | ||||
\(597\) | 1.57875 | − | 0.481017i | 0.0646139 | − | 0.0196867i | ||||
\(598\) | −3.08008 | + | 29.3050i | −0.125954 | + | 1.19837i | ||||
\(599\) | −17.2995 | − | 15.5765i | −0.706837 | − | 0.636439i | 0.235200 | − | 0.971947i | \(-0.424425\pi\) |
−0.942037 | + | 0.335508i | \(0.891092\pi\) | |||||||
\(600\) | 0.227179 | − | 12.3372i | 0.00927453 | − | 0.503664i | ||||
\(601\) | −17.3540 | + | 23.8857i | −0.707884 | + | 0.974319i | 0.291956 | + | 0.956432i | \(0.405694\pi\) |
−0.999840 | + | 0.0178874i | \(0.994306\pi\) | |||||||
\(602\) | 14.4122 | − | 26.1794i | 0.587399 | − | 1.06699i | ||||
\(603\) | −1.20482 | − | 17.7178i | −0.0490639 | − | 0.721525i | ||||
\(604\) | 3.03792 | + | 1.75394i | 0.123611 | + | 0.0713669i | ||||
\(605\) | −19.3996 | − | 23.9414i | −0.788706 | − | 0.973356i | ||||
\(606\) | −13.1876 | + | 11.4416i | −0.535710 | + | 0.464784i | ||||
\(607\) | 23.1236 | − | 20.8206i | 0.938557 | − | 0.845080i | −0.0495622 | − | 0.998771i | \(-0.515783\pi\) |
0.988119 | + | 0.153691i | \(0.0491159\pi\) | |||||||
\(608\) | 4.56297 | + | 6.28040i | 0.185053 | + | 0.254704i | ||||
\(609\) | 12.1429 | − | 21.1269i | 0.492054 | − | 0.856106i | ||||
\(610\) | 0.623460 | + | 1.91881i | 0.0252431 | + | 0.0776904i | ||||
\(611\) | −4.11478 | − | 0.874623i | −0.166466 | − | 0.0353835i | ||||
\(612\) | 0.0356561 | + | 0.125253i | 0.00144131 | + | 0.00506307i | ||||
\(613\) | −5.01058 | + | 11.2539i | −0.202375 | + | 0.454543i | −0.986011 | − | 0.166678i | \(-0.946696\pi\) |
0.783636 | + | 0.621220i | \(0.213363\pi\) | |||||||
\(614\) | 3.07650 | − | 2.77009i | 0.124157 | − | 0.111792i | ||||
\(615\) | −23.0664 | + | 4.46070i | −0.930126 | + | 0.179873i | ||||
\(616\) | 3.55731 | − | 21.6646i | 0.143328 | − | 0.872890i | ||||
\(617\) | − | 39.8753i | − | 1.60532i | −0.596436 | − | 0.802660i | \(-0.703417\pi\) | ||
0.596436 | − | 0.802660i | \(-0.296583\pi\) | |||||||
\(618\) | 24.6673 | − | 32.6694i | 0.992265 | − | 1.31416i | ||||
\(619\) | 31.0568 | + | 13.8274i | 1.24828 | + | 0.555769i | 0.921149 | − | 0.389211i | \(-0.127252\pi\) |
0.327129 | + | 0.944980i | \(0.393919\pi\) | |||||||
\(620\) | 3.79291 | + | 0.398651i | 0.152327 | + | 0.0160102i | ||||
\(621\) | 14.8926 | − | 5.66764i | 0.597619 | − | 0.227435i | ||||
\(622\) | 7.12871 | − | 2.31626i | 0.285835 | − | 0.0928735i | ||||
\(623\) | −27.4869 | − | 5.26011i | −1.10124 | − | 0.210742i | ||||
\(624\) | 33.9883 | − | 36.3780i | 1.36062 | − | 1.45628i | ||||
\(625\) | −20.8296 | − | 23.1336i | −0.833183 | − | 0.925344i | ||||
\(626\) | 10.1367 | + | 17.5572i | 0.405143 | + | 0.701727i | ||||
\(627\) | 6.69831 | + | 20.0728i | 0.267505 | + | 0.801629i | ||||
\(628\) | −1.87651 | + | 3.25021i | −0.0748809 | + | 0.129698i | ||||
\(629\) | −0.0879131 | + | 0.270569i | −0.00350533 | + | 0.0107883i | ||||
\(630\) | −31.5441 | + | 13.4264i | −1.25675 | + | 0.534922i | ||||
\(631\) | −24.6256 | − | 17.8915i | −0.980328 | − | 0.712250i | −0.0225460 | − | 0.999746i | \(-0.507177\pi\) |
−0.957782 | + | 0.287496i | \(0.907177\pi\) | |||||||
\(632\) | −5.15698 | + | 24.2617i | −0.205134 | + | 0.965078i | ||||
\(633\) | −9.30785 | + | 15.4573i | −0.369954 | + | 0.614371i | ||||
\(634\) | −44.4763 | − | 4.67464i | −1.76638 | − | 0.185654i | ||||
\(635\) | 3.49408 | + | 33.2440i | 0.138658 | + | 1.31925i | ||||
\(636\) | −0.298966 | + | 2.41573i | −0.0118548 | + | 0.0957901i | ||||
\(637\) | 40.9058 | − | 15.1582i | 1.62075 | − | 0.600588i | ||||
\(638\) | 14.2115 | + | 23.1831i | 0.562640 | + | 0.917827i | ||||
\(639\) | −40.0441 | − | 5.70615i | −1.58412 | − | 0.225732i | ||||
\(640\) | 7.82060 | + | 36.7930i | 0.309137 | + | 1.45437i | ||||
\(641\) | −0.737130 | + | 1.65562i | −0.0291149 | + | 0.0653931i | −0.927518 | − | 0.373780i | \(-0.878062\pi\) |
0.898403 | + | 0.439173i | \(0.144728\pi\) | |||||||
\(642\) | −14.3482 | − | 20.5332i | −0.566278 | − | 0.810382i | ||||
\(643\) | 10.7920 | + | 33.2143i | 0.425594 | + | 1.30984i | 0.902424 | + | 0.430849i | \(0.141786\pi\) |
−0.476830 | + | 0.878995i | \(0.658214\pi\) | |||||||
\(644\) | −0.886491 | + | 2.92999i | −0.0349326 | + | 0.115458i | ||||
\(645\) | −15.0528 | + | 32.2002i | −0.592703 | + | 1.26788i | ||||
\(646\) | −0.649896 | + | 0.0683068i | −0.0255698 | + | 0.00268749i | ||||
\(647\) | 9.45392 | + | 44.4772i | 0.371672 | + | 1.74858i | 0.624459 | + | 0.781057i | \(0.285319\pi\) |
−0.252788 | + | 0.967522i | \(0.581347\pi\) | |||||||
\(648\) | −21.6214 | − | 6.28968i | −0.849371 | − | 0.247082i | ||||
\(649\) | −35.0021 | + | 12.4010i | −1.37395 | + | 0.486782i | ||||
\(650\) | 27.3600i | 1.07315i | ||||||||
\(651\) | 5.14046 | + | 15.7166i | 0.201470 | + | 0.615982i | ||||
\(652\) | −3.91230 | + | 2.84245i | −0.153218 | + | 0.111319i | ||||
\(653\) | 11.5721 | + | 25.9914i | 0.452852 | + | 1.01712i | 0.985327 | + | 0.170676i | \(0.0545952\pi\) |
−0.532475 | + | 0.846445i | \(0.678738\pi\) | |||||||
\(654\) | −25.6988 | + | 42.6773i | −1.00490 | + | 1.66881i | ||||
\(655\) | 2.01482 | + | 1.81415i | 0.0787254 | + | 0.0708846i | ||||
\(656\) | 20.4019 | − | 9.08350i | 0.796560 | − | 0.354651i | ||||
\(657\) | 14.2511 | + | 8.94311i | 0.555988 | + | 0.348904i | ||||
\(658\) | −2.53784 | − | 1.06856i | −0.0989353 | − | 0.0416569i | ||||
\(659\) | −21.3739 | −0.832607 | −0.416304 | − | 0.909226i | \(-0.636675\pi\) | ||||
−0.416304 | + | 0.909226i | \(0.636675\pi\) | |||||||
\(660\) | 0.586789 | − | 6.04310i | 0.0228407 | − | 0.235227i | ||||
\(661\) | −14.1200 | − | 24.4566i | −0.549204 | − | 0.951250i | −0.998329 | − | 0.0577807i | \(-0.981598\pi\) |
0.449125 | − | 0.893469i | \(-0.351736\pi\) | |||||||
\(662\) | 26.5152 | − | 5.63599i | 1.03054 | − | 0.219049i | ||||
\(663\) | 0.361968 | + | 1.18802i | 0.0140577 | + | 0.0461387i | ||||
\(664\) | −20.7721 | − | 15.0918i | −0.806115 | − | 0.585677i | ||||
\(665\) | −6.21877 | − | 26.5840i | −0.241154 | − | 1.03088i | ||||
\(666\) | 7.33493 | + | 8.77555i | 0.284223 | + | 0.340046i | ||||
\(667\) | 6.63257 | + | 14.8970i | 0.256814 | + | 0.576814i | ||||
\(668\) | −7.00494 | − | 3.11880i | −0.271029 | − | 0.120670i | ||||
\(669\) | −17.7197 | − | 41.8566i | −0.685084 | − | 1.61827i | ||||
\(670\) | −22.1424 | − | 12.7839i | −0.855437 | − | 0.493887i | ||||
\(671\) | −0.361895 | − | 1.50638i | −0.0139708 | − | 0.0581530i | ||||
\(672\) | 7.80197 | − | 5.69169i | 0.300968 | − | 0.219562i | ||||
\(673\) | −30.8697 | − | 10.0302i | −1.18994 | − | 0.386635i | −0.353889 | − | 0.935287i | \(-0.615141\pi\) |
−0.836050 | + | 0.548653i | \(0.815141\pi\) | |||||||
\(674\) | −18.3253 | + | 1.92607i | −0.705864 | + | 0.0741893i | ||||
\(675\) | 13.2022 | − | 6.67908i | 0.508151 | − | 0.257078i | ||||
\(676\) | −6.52296 | + | 7.24448i | −0.250883 | + | 0.278634i | ||||
\(677\) | −7.96030 | − | 1.69201i | −0.305939 | − | 0.0650294i | 0.0523839 | − | 0.998627i | \(-0.483318\pi\) |
−0.358323 | + | 0.933598i | \(0.616651\pi\) | |||||||
\(678\) | −5.88831 | − | 2.75264i | −0.226139 | − | 0.105714i | ||||
\(679\) | 0.163130 | + | 8.01210i | 0.00626036 | + | 0.307476i | ||||
\(680\) | −0.766941 | − | 0.249194i | −0.0294108 | − | 0.00955616i | ||||
\(681\) | −10.8428 | − | 3.74511i | −0.415497 | − | 0.143513i | ||||
\(682\) | −18.1440 | − | 3.35990i | −0.694771 | − | 0.128657i | ||||
\(683\) | −33.9081 | + | 19.5769i | −1.29746 | + | 0.749088i | −0.979965 | − | 0.199172i | \(-0.936175\pi\) |
−0.317495 | + | 0.948260i | \(0.602842\pi\) | |||||||
\(684\) | −1.83494 | + | 3.74394i | −0.0701606 | + | 0.143153i | ||||
\(685\) | −11.4780 | + | 8.33923i | −0.438551 | + | 0.318626i | ||||
\(686\) | 28.1638 | − | 4.71262i | 1.07530 | − | 0.179929i | ||||
\(687\) | 12.9948 | − | 7.18686i | 0.495783 | − | 0.274196i | ||||
\(688\) | 7.02496 | − | 33.0498i | 0.267824 | − | 1.26001i | ||||
\(689\) | −2.42646 | + | 23.0862i | −0.0924408 | + | 0.879515i | ||||
\(690\) | 5.18217 | − | 22.3487i | 0.197282 | − | 0.850799i | ||||
\(691\) | 6.99083 | + | 7.76410i | 0.265944 | + | 0.295360i | 0.861295 | − | 0.508105i | \(-0.169654\pi\) |
−0.595352 | + | 0.803465i | \(0.702987\pi\) | |||||||
\(692\) | −7.36849 | −0.280108 | ||||||||
\(693\) | 24.9550 | − | 8.38150i | 0.947961 | − | 0.318387i | ||||
\(694\) | 1.35286 | 0.0513539 | ||||||||
\(695\) | 36.8429 | + | 40.9182i | 1.39753 | + | 1.55212i | ||||
\(696\) | 5.20522 | − | 22.4481i | 0.197303 | − | 0.850892i | ||||
\(697\) | −0.0582337 | + | 0.554056i | −0.00220576 | + | 0.0209864i | ||||
\(698\) | −5.28315 | + | 24.8553i | −0.199970 | + | 0.940787i | ||||
\(699\) | −4.03482 | + | 2.23148i | −0.152611 | + | 0.0844024i | ||||
\(700\) | −0.534237 | + | 2.79167i | −0.0201923 | + | 0.105515i | ||||
\(701\) | −28.0546 | + | 20.3829i | −1.05961 | + | 0.769851i | −0.974016 | − | 0.226479i | \(-0.927279\pi\) |
−0.0855933 | + | 0.996330i | \(0.527279\pi\) | |||||||
\(702\) | 48.1901 | + | 13.0612i | 1.81882 | + | 0.492962i | ||||
\(703\) | −7.88802 | + | 4.55415i | −0.297502 | + | 0.171763i | ||||
\(704\) | −2.58971 | − | 19.6474i | −0.0976035 | − | 0.740488i | ||||
\(705\) | 3.09574 | + | 1.06927i | 0.116592 | + | 0.0402710i | ||||
\(706\) | 20.2476 | + | 6.57885i | 0.762029 | + | 0.247598i | ||||
\(707\) | −14.8005 | + | 8.95165i | −0.556630 | + | 0.336661i | ||||
\(708\) | −6.62820 | − | 3.09852i | −0.249103 | − | 0.116449i | ||||
\(709\) | −6.71476 | − | 1.42727i | −0.252178 | − | 0.0536021i | 0.0800880 | − | 0.996788i | \(-0.474480\pi\) |
−0.332266 | + | 0.943186i | \(0.607813\pi\) | |||||||
\(710\) | −38.9670 | + | 43.2773i | −1.46241 | + | 1.62417i | ||||
\(711\) | −28.6046 | + | 8.14291i | −1.07276 | + | 0.305383i | ||||
\(712\) | −26.3198 | + | 2.76633i | −0.986377 | + | 0.103672i | ||||
\(713\) | −10.5241 | − | 3.41948i | −0.394129 | − | 0.128060i | ||||
\(714\) | 0.0865489 | + | 0.808326i | 0.00323901 | + | 0.0302508i | ||||
\(715\) | 4.53394 | − | 57.7233i | 0.169560 | − | 2.15873i | ||||
\(716\) | −0.663163 | − | 0.382877i | −0.0247836 | − | 0.0143088i | ||||
\(717\) | −1.93059 | − | 4.56034i | −0.0720992 | − | 0.170309i | ||||
\(718\) | 2.68009 | + | 1.19325i | 0.100020 | + | 0.0445319i | ||||
\(719\) | 13.8310 | + | 31.0650i | 0.515810 | + | 1.15853i | 0.964317 | + | 0.264750i | \(0.0852893\pi\) |
−0.448507 | + | 0.893779i | \(0.648044\pi\) | |||||||
\(720\) | −29.7404 | + | 24.8581i | −1.10836 | + | 0.926408i | ||||
\(721\) | 29.5802 | − | 27.7451i | 1.10163 | − | 1.03328i | ||||
\(722\) | 6.77429 | + | 4.92181i | 0.252113 | + | 0.183171i | ||||
\(723\) | 7.11616 | + | 23.3560i | 0.264653 | + | 0.868618i | ||||
\(724\) | −2.40848 | + | 0.511938i | −0.0895104 | + | 0.0190260i | ||||
\(725\) | 7.57054 | + | 13.1126i | 0.281163 | + | 0.486988i | ||||
\(726\) | −5.11990 | + | 28.9265i | −0.190017 | + | 1.07356i | ||||
\(727\) | 21.9188 | 0.812923 | 0.406461 | − | 0.913668i | \(-0.366763\pi\) | ||||
0.406461 | + | 0.913668i | \(0.366763\pi\) | |||||||
\(728\) | 32.8741 | − | 24.9224i | 1.21839 | − | 0.923686i | ||||
\(729\) | −5.46160 | − | 26.4418i | −0.202282 | − | 0.979327i | ||||
\(730\) | 22.1290 | − | 9.85247i | 0.819031 | − | 0.364656i | ||||
\(731\) | 0.626380 | + | 0.563995i | 0.0231675 | + | 0.0208601i | ||||
\(732\) | 0.157468 | − | 0.261502i | 0.00582018 | − | 0.00966540i | ||||
\(733\) | 5.56486 | + | 12.4989i | 0.205543 | + | 0.461657i | 0.986674 | − | 0.162710i | \(-0.0520236\pi\) |
−0.781131 | + | 0.624367i | \(0.785357\pi\) | |||||||
\(734\) | 4.56185 | − | 3.31437i | 0.168381 | − | 0.122336i | ||||
\(735\) | −33.0563 | + | 7.80070i | −1.21930 | + | 0.287733i | ||||
\(736\) | 6.46267i | 0.238217i | ||||||||
\(737\) | 16.1818 | + | 11.1178i | 0.596064 | + | 0.409528i | ||||
\(738\) | 17.6227 | + | 13.8228i | 0.648699 | + | 0.508825i | ||||
\(739\) | −2.75013 | − | 12.9384i | −0.101165 | − | 0.475945i | −0.999341 | − | 0.0363079i | \(-0.988440\pi\) |
0.898175 | − | 0.439637i | \(-0.144893\pi\) | |||||||
\(740\) | 2.59905 | − | 0.273172i | 0.0955431 | − | 0.0100420i | ||||
\(741\) | −16.8386 | + | 36.0202i | −0.618580 | + | 1.32324i | ||||
\(742\) | −4.40037 | + | 14.5439i | −0.161543 | + | 0.533924i | ||||
\(743\) | −4.73025 | − | 14.5582i | −0.173536 | − | 0.534089i | 0.826028 | − | 0.563630i | \(-0.190595\pi\) |
−0.999564 | + | 0.0295409i | \(0.990595\pi\) | |||||||
\(744\) | 8.95687 | + | 12.8179i | 0.328375 | + | 0.469926i | ||||
\(745\) | −4.85587 | + | 10.9065i | −0.177905 | + | 0.399582i | ||||
\(746\) | 10.1432 | + | 47.7202i | 0.371371 | + | 1.74716i | ||||
\(747\) | 4.34313 | − | 30.4788i | 0.158907 | − | 1.11516i | ||||
\(748\) | −0.133023 | − | 0.0550760i | −0.00486382 | − | 0.00201378i | ||||
\(749\) | −10.5534 | − | 22.4612i | −0.385612 | − | 0.820716i | ||||
\(750\) | −1.97788 | + | 15.9819i | −0.0722221 | + | 0.583576i | ||||
\(751\) | −1.41949 | − | 13.5055i | −0.0517978 | − | 0.492824i | −0.989411 | − | 0.145143i | \(-0.953636\pi\) |
0.937613 | − | 0.347681i | \(-0.113031\pi\) | |||||||
\(752\) | −3.09628 | − | 0.325432i | −0.112910 | − | 0.0118673i | ||||
\(753\) | −8.66909 | + | 14.3965i | −0.315919 | + | 0.524638i | ||||
\(754\) | −10.6232 | + | 49.9784i | −0.386875 | + | 1.82010i | ||||
\(755\) | −21.0711 | − | 15.3091i | −0.766857 | − | 0.557154i | ||||
\(756\) | 4.66203 | + | 2.27366i | 0.169556 | + | 0.0826922i | ||||
\(757\) | 0.354900 | − | 1.09227i | 0.0128991 | − | 0.0396992i | −0.944400 | − | 0.328799i | \(-0.893356\pi\) |
0.957299 | + | 0.289100i | \(0.0933560\pi\) | |||||||
\(758\) | 10.5056 | − | 18.1962i | 0.381580 | − | 0.660916i | ||||
\(759\) | −5.31085 | + | 16.7968i | −0.192772 | + | 0.609684i | ||||
\(760\) | −12.9090 | − | 22.3590i | −0.468257 | − | 0.811045i | ||||
\(761\) | 8.07273 | + | 8.96568i | 0.292636 | + | 0.325006i | 0.871478 | − | 0.490434i | \(-0.163162\pi\) |
−0.578842 | + | 0.815440i | \(0.696495\pi\) | |||||||
\(762\) | 21.7554 | − | 23.2850i | 0.788115 | − | 0.843527i | ||||
\(763\) | −32.2713 | + | 37.3424i | −1.16830 | + | 1.35188i | ||||
\(764\) | 7.67984 | − | 2.49533i | 0.277847 | − | 0.0902779i | ||||
\(765\) | −0.166079 | − | 0.952560i | −0.00600461 | − | 0.0344399i | ||||
\(766\) | −38.1069 | − | 4.00519i | −1.37686 | − | 0.144714i | ||||
\(767\) | −63.7431 | − | 28.3803i | −2.30163 | − | 1.02475i | ||||
\(768\) | 9.13554 | − | 12.0991i | 0.329650 | − | 0.436589i | ||||
\(769\) | 33.3396i | 1.20226i | 0.799153 | + | 0.601128i | \(0.205282\pi\) | ||||
−0.799153 | + | 0.601128i | \(0.794718\pi\) | |||||||
\(770\) | 10.0168 | − | 36.5533i | 0.360981 | − | 1.31729i | ||||
\(771\) | 4.22715 | − | 0.817469i | 0.152237 | − | 0.0294404i | ||||
\(772\) | −5.74383 | + | 5.17177i | −0.206725 | + | 0.186136i | ||||
\(773\) | −3.17850 | + | 7.13903i | −0.114323 | + | 0.256773i | −0.961640 | − | 0.274314i | \(-0.911549\pi\) |
0.847318 | + | 0.531086i | \(0.178216\pi\) | |||||||
\(774\) | 32.5908 | − | 9.27768i | 1.17145 | − | 0.333479i | ||||
\(775\) | −10.0501 | − | 2.13621i | −0.361010 | − | 0.0767351i | ||||
\(776\) | 2.34181 | + | 7.20735i | 0.0840660 | + | 0.258729i | ||||
\(777\) | 5.68460 | + | 9.80193i | 0.203934 | + | 0.351642i | ||||
\(778\) | −19.6841 | − | 27.0928i | −0.705709 | − | 0.971325i | ||||
\(779\) | −13.2550 | + | 11.9348i | −0.474909 | + | 0.427610i | ||||
\(780\) | 8.61728 | − | 7.47639i | 0.308548 | − | 0.267698i | ||||
\(781\) | 32.4323 | − | 30.7866i | 1.16052 | − | 1.10163i | ||||
\(782\) | −0.471132 | − | 0.272008i | −0.0168476 | − | 0.00972699i | ||||
\(783\) | 26.7096 | − | 7.07454i | 0.954523 | − | 0.252823i | ||||
\(784\) | 28.9354 | − | 14.3214i | 1.03341 | − | 0.511479i | ||||
\(785\) | 16.3789 | − | 22.5436i | 0.584588 | − | 0.804616i | ||||
\(786\) | 0.0475859 | − | 2.58421i | 0.00169733 | − | 0.0921756i | ||||
\(787\) | −13.4411 | − | 12.1024i | −0.479124 | − | 0.431405i | 0.393848 | − | 0.919176i | \(-0.371144\pi\) |
−0.872972 | + | 0.487771i | \(0.837810\pi\) | |||||||
\(788\) | 0.439762 | − | 4.18405i | 0.0156659 | − | 0.149051i | ||||
\(789\) | 6.63104 | − | 2.02036i | 0.236071 | − | 0.0719268i | ||||
\(790\) | −13.2319 | + | 40.7235i | −0.470769 | + | 1.44888i | ||||
\(791\) | −5.28568 | − | 3.67824i | −0.187937 | − | 0.130783i | ||||
\(792\) | 20.2923 | − | 14.4204i | 0.721054 | − | 0.512407i | ||||
\(793\) | 1.45552 | − | 2.52104i | 0.0516872 | − | 0.0895248i | ||||
\(794\) | −0.329132 | + | 0.0699593i | −0.0116805 | + | 0.00248276i | ||||
\(795\) | 4.08246 | − | 17.6061i | 0.144790 | − | 0.624423i | ||||
\(796\) | −0.328426 | + | 0.146225i | −0.0116407 | + | 0.00518279i | ||||
\(797\) | −34.0865 | + | 11.0754i | −1.20741 | + | 0.392310i | −0.842481 | − | 0.538726i | \(-0.818906\pi\) |
−0.364926 | + | 0.931037i | \(0.618906\pi\) | |||||||
\(798\) | −15.2574 | + | 21.0862i | −0.540107 | + | 0.746443i | ||||
\(799\) | 0.0456504 | − | 0.0628324i | 0.00161499 | − | 0.00222285i | ||||
\(800\) | 0.627242 | + | 5.96781i | 0.0221763 | + | 0.210994i | ||||
\(801\) | −17.6943 | − | 26.3417i | −0.625197 | − | 0.930737i | ||||
\(802\) | 14.9916 | − | 8.65542i | 0.529373 | − | 0.305633i | ||||
\(803\) | −17.5326 | + | 6.21168i | −0.618712 | + | 0.219205i | ||||
\(804\) | 0.734481 | + | 3.79801i | 0.0259031 | + | 0.133946i | ||||
\(805\) | 8.81994 | − | 20.9474i | 0.310862 | − | 0.738300i | ||||
\(806\) | −20.3801 | − | 28.0507i | −0.717857 | − | 0.988045i | ||||
\(807\) | 10.7211 | − | 7.49171i | 0.377402 | − | 0.263721i | ||||
\(808\) | −10.9450 | + | 12.1556i | −0.385043 | + | 0.427634i | ||||
\(809\) | 19.9289 | − | 22.1333i | 0.700662 | − | 0.778164i | −0.282820 | − | 0.959173i | \(-0.591270\pi\) |
0.983481 | + | 0.181009i | \(0.0579364\pi\) | |||||||
\(810\) | −35.9862 | − | 14.7001i | −1.26443 | − | 0.516511i | ||||
\(811\) | −18.8564 | − | 25.9536i | −0.662139 | − | 0.911356i | 0.337411 | − | 0.941357i | \(-0.390449\pi\) |
−0.999550 | + | 0.0300017i | \(0.990449\pi\) | |||||||
\(812\) | −2.05982 | + | 4.89210i | −0.0722857 | + | 0.171679i | ||||
\(813\) | 19.8187 | − | 3.83265i | 0.695072 | − | 0.134417i | ||||
\(814\) | −12.6400 | + | 0.332946i | −0.443032 | + | 0.0116697i | ||||
\(815\) | 31.0950 | − | 17.9527i | 1.08921 | − | 0.628855i | ||||
\(816\) | 0.358326 | + | 0.846419i | 0.0125439 | + | 0.0296306i | ||||
\(817\) | 2.82075 | + | 26.8377i | 0.0986857 | + | 0.938931i | ||||
\(818\) | 8.85313 | − | 12.1853i | 0.309542 | − | 0.426049i | ||||
\(819\) | 44.8511 | + | 20.8605i | 1.56722 | + | 0.728926i | ||||
\(820\) | 4.86716 | − | 1.58144i | 0.169969 | − | 0.0552261i | ||||
\(821\) | −14.7688 | + | 6.57550i | −0.515436 | + | 0.229487i | −0.647934 | − | 0.761697i | \(-0.724367\pi\) |
0.132498 | + | 0.991183i | \(0.457700\pi\) | |||||||
\(822\) | 13.1757 | + | 3.05516i | 0.459556 | + | 0.106561i | ||||
\(823\) | 22.1654 | − | 4.71141i | 0.772639 | − | 0.164229i | 0.195310 | − | 0.980742i | \(-0.437429\pi\) |
0.577328 | + | 0.816512i | \(0.304095\pi\) | |||||||
\(824\) | 19.1759 | − | 33.2137i | 0.668025 | − | 1.15705i | ||||
\(825\) | −3.27396 | + | 16.0261i | −0.113985 | + | 0.557955i | ||||
\(826\) | −37.4896 | − | 26.0886i | −1.30443 | − | 0.907737i | ||||
\(827\) | 4.72504 | − | 14.5422i | 0.164306 | − | 0.505681i | −0.834679 | − | 0.550737i | \(-0.814347\pi\) |
0.998984 | + | 0.0450561i | \(0.0143467\pi\) | |||||||
\(828\) | −3.06786 | + | 1.62367i | −0.106615 | + | 0.0564265i | ||||
\(829\) | 0.977821 | − | 9.30335i | 0.0339611 | − | 0.323119i | −0.964331 | − | 0.264699i | \(-0.914727\pi\) |
0.998292 | − | 0.0584193i | \(-0.0186060\pi\) | |||||||
\(830\) | −32.9397 | − | 29.6590i | −1.14335 | − | 1.02948i | ||||
\(831\) | −52.5238 | − | 0.967179i | −1.82203 | − | 0.0335511i | ||||
\(832\) | 21.8874 | − | 30.1254i | 0.758809 | − | 1.04441i | ||||
\(833\) | −0.0515137 | + | 0.803746i | −0.00178484 | + | 0.0278482i | ||||
\(834\) | 6.44696 | − | 52.0933i | 0.223240 | − | 1.80384i | ||||
\(835\) | 49.3049 | + | 28.4662i | 1.70627 | + | 0.985114i | ||||
\(836\) | −1.98507 | − | 4.16013i | −0.0686551 | − | 0.143881i | ||||
\(837\) | −8.56031 | + | 16.6818i | −0.295888 | + | 0.576606i | ||||
\(838\) | 35.4605 | − | 31.9288i | 1.22496 | − | 1.10296i | ||||
\(839\) | 22.4050 | + | 30.8378i | 0.773505 | + | 1.06464i | 0.995969 | + | 0.0896978i | \(0.0285901\pi\) |
−0.222464 | + | 0.974941i | \(0.571410\pi\) | |||||||
\(840\) | −27.7841 | + | 16.1133i | −0.958641 | + | 0.555961i | ||||
\(841\) | −0.223729 | − | 0.688567i | −0.00771479 | − | 0.0237437i | ||||
\(842\) | 30.1363 | + | 6.40566i | 1.03856 | + | 0.220754i | ||||
\(843\) | 12.2292 | − | 1.05810i | 0.421195 | − | 0.0364429i | ||||
\(844\) | 1.59863 | − | 3.59058i | 0.0550271 | − | 0.123593i | ||||
\(845\) | 53.7888 | − | 48.4317i | 1.85039 | − | 1.66610i | ||||
\(846\) | −1.16409 | − | 2.89720i | −0.0400222 | − | 0.0996078i | ||||
\(847\) | −9.86596 | + | 27.3800i | −0.338999 | + | 0.940787i | ||||
\(848\) | 17.1800i | 0.589963i | ||||||||
\(849\) | −27.6308 | − | 20.8629i | −0.948287 | − | 0.716012i | ||||
\(850\) | −0.461456 | − | 0.205454i | −0.0158278 | − | 0.00704700i | ||||
\(851\) | −7.54109 | − | 0.792600i | −0.258505 | − | 0.0271700i | ||||
\(852\) | 8.80942 | + | 0.162218i | 0.301806 | + | 0.00555748i | ||||
\(853\) | −9.14993 | + | 2.97299i | −0.313288 | + | 0.101793i | −0.461440 | − | 0.887171i | \(-0.652667\pi\) |
0.148153 | + | 0.988964i | \(0.452667\pi\) | |||||||
\(854\) | 1.24595 | − | 1.44173i | 0.0426354 | − | 0.0493351i | ||||
\(855\) | 16.4551 | − | 26.2217i | 0.562753 | − | 0.896762i | ||||
\(856\) | −15.7033 | − | 17.4403i | −0.536729 | − | 0.596098i | ||||
\(857\) | −0.0352022 | − | 0.0609721i | −0.00120249 | − | 0.00208277i | 0.865424 | − | 0.501041i | \(-0.167049\pi\) |
−0.866626 | + | 0.498958i | \(0.833716\pi\) | |||||||
\(858\) | −44.3979 | + | 32.7975i | −1.51572 | + | 1.11969i | ||||
\(859\) | −19.2494 | + | 33.3409i | −0.656780 | + | 1.13758i | 0.324664 | + | 0.945829i | \(0.394749\pi\) |
−0.981444 | + | 0.191748i | \(0.938584\pi\) | |||||||
\(860\) | 2.39264 | − | 7.36377i | 0.0815882 | − | 0.251103i | ||||
\(861\) | 14.8794 | + | 16.4607i | 0.507089 | + | 0.560981i | ||||
\(862\) | −42.9264 | − | 31.1878i | −1.46208 | − | 1.06226i | ||||
\(863\) | 0.191005 | − | 0.898608i | 0.00650189 | − | 0.0305890i | −0.974777 | − | 0.223181i | \(-0.928356\pi\) |
0.981279 | + | 0.192592i | \(0.0616893\pi\) | |||||||
\(864\) | 10.8107 | + | 1.74414i | 0.367788 | + | 0.0593368i | ||||
\(865\) | 54.4099 | + | 5.71871i | 1.84999 | + | 0.194442i | ||||
\(866\) | −0.0368437 | − | 0.350544i | −0.00125200 | − | 0.0119120i | ||||
\(867\) | 29.1992 | + | 3.61363i | 0.991656 | + | 0.122725i | ||||
\(868\) | −1.53175 | − | 3.26009i | −0.0519910 | − | 0.110655i | ||||
\(869\) | 12.5779 | − | 30.3791i | 0.426677 | − | 1.03054i | ||||
\(870\) | 12.9874 | − | 37.6011i | 0.440315 | − | 1.27480i | ||||
\(871\) | 7.67003 | + | 36.0846i | 0.259889 | + | 1.22268i | ||||
\(872\) | −18.9834 | + | 42.6375i | −0.642860 | + | 1.44389i | ||||
\(873\) | −6.32471 | + | 6.52435i | −0.214059 | + | 0.220816i | ||||
\(874\) | −5.38220 | − | 16.5647i | −0.182056 | − | 0.560310i | ||||
\(875\) | −4.62023 | + | 15.2706i | −0.156192 | + | 0.516240i | ||||
\(876\) | −3.32007 | − | 1.55205i | −0.112175 | − | 0.0524389i | ||||
\(877\) | 28.6572 | − | 3.01199i | 0.967684 | − | 0.101708i | 0.392518 | − | 0.919744i | \(-0.371604\pi\) |
0.575166 | + | 0.818037i | \(0.304937\pi\) | |||||||
\(878\) | 6.50955 | + | 30.6250i | 0.219687 | + | 1.03354i | ||||
\(879\) | 24.0827 | − | 20.8943i | 0.812289 | − | 0.704746i | ||||
\(880\) | −1.12836 | − | 42.8371i | −0.0380369 | − | 1.44404i | ||||
\(881\) | 20.6052i | 0.694208i | 0.937827 | + | 0.347104i | \(0.112835\pi\) | ||||
−0.937827 | + | 0.347104i | \(0.887165\pi\) | |||||||
\(882\) | 26.2688 | + | 18.9297i | 0.884518 | + | 0.637396i | ||||
\(883\) | 7.32741 | − | 5.32367i | 0.246587 | − | 0.179156i | −0.457626 | − | 0.889145i | \(-0.651300\pi\) |
0.704213 | + | 0.709989i | \(0.251300\pi\) | |||||||
\(884\) | −0.110035 | − | 0.247142i | −0.00370087 | − | 0.00831228i | ||||
\(885\) | 46.5387 | + | 28.0240i | 1.56438 | + | 0.942017i | ||||
\(886\) | 43.6415 | + | 39.2950i | 1.46617 | + | 1.32014i | ||||
\(887\) | 21.2236 | − | 9.44935i | 0.712619 | − | 0.317278i | −0.0182148 | − | 0.999834i | \(-0.505798\pi\) |
0.730833 | + | 0.682556i | \(0.239132\pi\) | |||||||
\(888\) | 7.82963 | + | 7.31530i | 0.262745 | + | 0.245485i | ||||
\(889\) | 25.1582 | − | 19.0729i | 0.843779 | − | 0.639684i | ||||
\(890\) | −45.6868 | −1.53143 | ||||||||
\(891\) | 26.6643 | + | 13.4171i | 0.893286 | + | 0.449488i | ||||
\(892\) | 4.95049 | + | 8.57450i | 0.165755 | + | 0.287096i | ||||
\(893\) | 2.43218 | − | 0.516976i | 0.0813899 | − | 0.0172999i | ||||
\(894\) | 10.8872 | − | 3.31714i | 0.364122 | − | 0.110942i | ||||
\(895\) | 4.59973 | + | 3.34190i | 0.153752 | + | 0.111707i | ||||
\(896\) | 25.9117 | − | 24.3041i | 0.865648 | − | 0.811943i | ||||
\(897\) | −28.9666 | + | 16.0202i | −0.967166 | + | 0.534897i | ||||
\(898\) | −2.16255 | − | 4.85718i | −0.0721654 | − | 0.162086i | ||||
\(899\) | −17.5290 | − | 7.80441i | −0.584625 | − | 0.260292i | ||||
\(900\) | −2.67536 | + | 1.79710i | −0.0891786 | + | 0.0599032i | ||||
\(901\) | −0.371153 | − | 0.214285i | −0.0123649 | − | 0.00713888i | ||||
\(902\) | −24.0759 | + | 5.78404i | −0.801638 | + | 0.192587i | ||||
\(903\) | 33.3801 | − | 3.57407i | 1.11082 | − | 0.118938i | ||||
\(904\) | −5.79155 | − | 1.88179i | −0.192624 | − | 0.0625874i | ||||
\(905\) | 18.1818 | − | 1.91099i | 0.604385 | − | 0.0635234i | ||||
\(906\) | 2.14033 | + | 24.7372i | 0.0711076 | + | 0.821837i | ||||
\(907\) | −23.3706 | + | 25.9557i | −0.776008 | + | 0.861844i | −0.993455 | − | 0.114228i | \(-0.963561\pi\) |
0.217447 | + | 0.976072i | \(0.430227\pi\) | |||||||
\(908\) | 2.44420 | + | 0.519531i | 0.0811136 | + | 0.0172412i | ||||
\(909\) | −19.0213 | − | 4.78129i | −0.630895 | − | 0.158585i | ||||
\(910\) | 60.9377 | − | 36.8563i | 2.02006 | − | 1.22178i | ||||
\(911\) | 6.00834 | + | 1.95223i | 0.199065 | + | 0.0646802i | 0.406853 | − | 0.913494i | \(-0.366626\pi\) |
−0.207787 | + | 0.978174i | \(0.566626\pi\) | |||||||
\(912\) | −9.60723 | + | 27.8148i | −0.318127 | + | 0.921039i | ||||
\(913\) | 23.4326 | + | 24.6852i | 0.775507 | + | 0.816961i | ||||
\(914\) | −1.77214 | + | 1.02315i | −0.0586173 | + | 0.0338427i | ||||
\(915\) | −1.36572 | + | 1.80876i | −0.0451492 | + | 0.0597956i | ||||
\(916\) | −2.61695 | + | 1.90132i | −0.0864663 | + | 0.0628215i | ||||
\(917\) | 0.481290 | − | 2.51500i | 0.0158936 | − | 0.0830526i | ||||
\(918\) | −0.582162 | + | 0.714697i | −0.0192142 | + | 0.0235885i | ||||
\(919\) | −1.04490 | + | 4.91587i | −0.0344681 | + | 0.162160i | −0.992015 | − | 0.126116i | \(-0.959749\pi\) |
0.957547 | + | 0.288276i | \(0.0930821\pi\) | |||||||
\(920\) | 2.24667 | − | 21.3756i | 0.0740704 | − | 0.704732i | ||||
\(921\) | 4.53033 | + | 1.05049i | 0.149280 | + | 0.0346147i | ||||
\(922\) | 5.19229 | + | 5.76662i | 0.170999 | + | 0.189913i | ||||
\(923\) | 84.0252 | 2.76572 | ||||||||
\(924\) | −5.17054 | + | 2.47956i | −0.170098 | + | 0.0815717i | ||||
\(925\) | −7.04058 | −0.231493 | ||||||||
\(926\) | −27.9469 | − | 31.0382i | −0.918392 | − | 1.01998i | ||||
\(927\) | 45.9549 | + | 1.69301i | 1.50936 | + | 0.0556058i | ||||
\(928\) | −1.17137 | + | 11.1449i | −0.0384523 | + | 0.365849i | ||||
\(929\) | −1.86219 | + | 8.76093i | −0.0610966 | + | 0.287437i | −0.998080 | − | 0.0619368i | \(-0.980272\pi\) |
0.936983 | + | 0.349374i | \(0.113606\pi\) | |||||||
\(930\) | 13.0648 | + | 23.6229i | 0.428411 | + | 0.774624i | ||||
\(931\) | −18.4442 | + | 18.0195i | −0.604483 | + | 0.590566i | ||||
\(932\) | 0.812548 | − | 0.590350i | 0.0266159 | − | 0.0193376i | ||||
\(933\) | 6.71984 | + | 5.07387i | 0.219998 | + | 0.166111i | ||||
\(934\) | 23.1257 | − | 13.3516i | 0.756697 | − | 0.436879i | ||||
\(935\) | 0.939518 | + | 0.509929i | 0.0307255 | + | 0.0166764i | ||||
\(936\) | 46.3090 | + | 6.59888i | 1.51366 | + | 0.215691i | ||||
\(937\) | −24.6571 | − | 8.01159i | −0.805514 | − | 0.261727i | −0.122817 | − | 0.992429i | \(-0.539193\pi\) |
−0.682697 | + | 0.730702i | \(0.739193\pi\) | |||||||
\(938\) | 0.491563 | + | 24.1430i | 0.0160501 | + | 0.788296i | ||||
\(939\) | −9.64460 | + | 20.6313i | −0.314740 | + | 0.673276i | ||||
\(940\) | −0.697846 | − | 0.148332i | −0.0227612 | − | 0.00483805i | ||||
\(941\) | 17.8245 | − | 19.7961i | 0.581062 | − | 0.645335i | −0.378909 | − | 0.925434i | \(-0.623701\pi\) |
0.959971 | + | 0.280099i | \(0.0903673\pi\) | |||||||
\(942\) | −26.4658 | + | 2.28989i | −0.862303 | + | 0.0746088i | ||||
\(943\) | −14.7673 | + | 1.55211i | −0.480891 | + | 0.0505437i | ||||
\(944\) | −49.1126 | − | 15.9577i | −1.59848 | − | 0.519378i | ||||
\(945\) | −32.6604 | − | 20.4072i | −1.06244 | − | 0.663847i | ||||
\(946\) | −14.3307 | + | 34.6126i | −0.465933 | + | 1.12535i | ||||
\(947\) | 12.5640 | + | 7.25385i | 0.408276 | + | 0.235718i | 0.690049 | − | 0.723763i | \(-0.257589\pi\) |
−0.281773 | + | 0.959481i | \(0.590922\pi\) | |||||||
\(948\) | 5.96590 | − | 2.52563i | 0.193763 | − | 0.0820285i | ||||
\(949\) | −31.9290 | − | 14.2157i | −1.03646 | − | 0.461461i | ||||
\(950\) | −6.57778 | − | 14.7739i | −0.213411 | − | 0.479330i | ||||
\(951\) | −24.3138 | − | 43.9626i | −0.788428 | − | 1.42558i | ||||
\(952\) | 0.173483 | + | 0.741605i | 0.00562262 | + | 0.0240355i | ||||
\(953\) | 11.0045 | + | 7.99527i | 0.356472 | + | 0.258992i | 0.751579 | − | 0.659643i | \(-0.229292\pi\) |
−0.395107 | + | 0.918635i | \(0.629292\pi\) | |||||||
\(954\) | −15.2283 | + | 8.05959i | −0.493033 | + | 0.260939i | ||||
\(955\) | −58.6455 | + | 12.4655i | −1.89773 | + | 0.403374i | ||||
\(956\) | 0.539363 | + | 0.934205i | 0.0174443 | + | 0.0302143i | ||||
\(957\) | −12.2030 | + | 28.0035i | −0.394468 | + | 0.905223i | ||||
\(958\) | 3.11359 | 0.100595 | ||||||||
\(959\) | 12.3496 | + | 5.19982i | 0.398789 | + | 0.167911i | ||||
\(960\) | −19.7925 | + | 21.1841i | −0.638801 | + | 0.683715i | ||||
\(961\) | −16.4249 | + | 7.31282i | −0.529834 | + | 0.235897i | ||||
\(962\) | −17.6564 | − | 15.8979i | −0.569266 | − | 0.512569i | ||||
\(963\) | 9.67506 | − | 26.4242i | 0.311774 | − | 0.851509i | ||||
\(964\) | −2.16324 | − | 4.85872i | −0.0696733 | − | 0.156489i | ||||
\(965\) | 46.4270 | − | 33.7312i | 1.49454 | − | 1.08585i | ||||
\(966\) | −20.5940 | + | 6.73573i | −0.662602 | + | 0.216719i | ||||
\(967\) | 3.44228i | 0.110696i | 0.998467 | + | 0.0553482i | \(0.0176269\pi\) | ||||
−0.998467 | + | 0.0553482i | \(0.982373\pi\) | |||||||
\(968\) | −1.43187 | + | 27.4844i | −0.0460221 | + | 0.883381i | ||||
\(969\) | −0.481074 | − | 0.554485i | −0.0154543 | − | 0.0178126i | ||||
\(970\) | 2.72001 | + | 12.7966i | 0.0873343 | + | 0.410875i | ||||
\(971\) | −9.34472 | + | 0.982170i | −0.299886 | + | 0.0315193i | −0.253277 | − | 0.967394i | \(-0.581508\pi\) |
−0.0466096 | + | 0.998913i | \(0.514842\pi\) | |||||||
\(972\) | 1.88812 | + | 5.57009i | 0.0605614 | + | 0.178661i | ||||
\(973\) | 15.0597 | − | 49.7748i | 0.482793 | − | 1.59571i | ||||
\(974\) | 13.9464 | + | 42.9226i | 0.446871 | + | 1.37533i | ||||
\(975\) | −25.1937 | + | 17.6048i | −0.806844 | + | 0.563806i | ||||
\(976\) | 0.876287 | − | 1.96817i | 0.0280493 | − | 0.0629997i | ||||
\(977\) | 7.92839 | + | 37.3001i | 0.253652 | + | 1.19334i | 0.901913 | + | 0.431919i | \(0.142163\pi\) |
−0.648261 | + | 0.761418i | \(0.724503\pi\) | |||||||
\(978\) | −32.3538 | − | 11.1750i | −1.03456 | − | 0.357337i | ||||
\(979\) | 34.9742 | + | 2.74709i | 1.11778 | + | 0.0877973i | ||||
\(980\) | 6.93742 | − | 2.57075i | 0.221608 | − | 0.0821195i | ||||
\(981\) | −55.8341 | + | 3.79673i | −1.78264 | + | 0.121220i | ||||
\(982\) | −1.08736 | − | 10.3456i | −0.0346991 | − | 0.330140i | ||||
\(983\) | −46.9094 | − | 4.93038i | −1.49618 | − | 0.157255i | −0.679213 | − | 0.733941i | \(-0.737679\pi\) |
−0.816966 | + | 0.576686i | \(0.804345\pi\) | |||||||
\(984\) | 17.9757 | + | 10.8244i | 0.573045 | + | 0.345068i | ||||
\(985\) | −6.49452 | + | 30.5543i | −0.206932 | + | 0.973541i | ||||
\(986\) | −0.763166 | − | 0.554472i | −0.0243042 | − | 0.0176580i | ||||
\(987\) | −0.649022 | − | 3.02446i | −0.0206586 | − | 0.0962697i | ||||
\(988\) | 2.67648 | − | 8.23737i | 0.0851503 | − | 0.262066i | ||||
\(989\) | −11.2327 | + | 19.4556i | −0.357178 | + | 0.618651i | ||||
\(990\) | 37.4413 | − | 21.0962i | 1.18996 | − | 0.670482i | ||||
\(991\) | 12.9287 | + | 22.3932i | 0.410694 | + | 0.711343i | 0.994966 | − | 0.100215i | \(-0.0319531\pi\) |
−0.584272 | + | 0.811558i | \(0.698620\pi\) | |||||||
\(992\) | −5.08840 | − | 5.65124i | −0.161557 | − | 0.179427i | ||||
\(993\) | 22.2510 | + | 20.7893i | 0.706114 | + | 0.659728i | ||||
\(994\) | 54.0210 | + | 10.3379i | 1.71344 | + | 0.327898i | ||||
\(995\) | 2.53862 | − | 0.824849i | 0.0804798 | − | 0.0261495i | ||||
\(996\) | −0.123469 | + | 6.70512i | −0.00391226 | + | 0.212460i | ||||
\(997\) | −20.5864 | − | 2.16372i | −0.651977 | − | 0.0685256i | −0.227235 | − | 0.973840i | \(-0.572969\pi\) |
−0.424742 | + | 0.905314i | \(0.639635\pi\) | |||||||
\(998\) | −9.50583 | − | 4.23227i | −0.300902 | − | 0.133970i | ||||
\(999\) | −3.36104 | + | 12.4008i | −0.106339 | + | 0.392344i |
(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 | 231.2.be.a.2.8 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.21 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.21 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.8 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.8 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.21 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.21 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.8 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.8 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.21 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.8 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.21 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.8 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.21 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.8 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.21 | yes | 224 | 7.4 | even | 3 | inner |