Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 130.5 | ||
Character | \(\chi\) | \(=\) | 177.130 |
Dual form | 177.2.e.b.64.5 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{26}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.91605 | − | 0.645591i | 1.35485 | − | 0.456502i | 0.454142 | − | 0.890929i | \(-0.349946\pi\) |
0.900707 | + | 0.434427i | \(0.143049\pi\) | |||||||
\(3\) | 0.856857 | − | 0.515554i | 0.494707 | − | 0.297655i | ||||
\(4\) | 1.66226 | − | 1.26362i | 0.831129 | − | 0.631808i | ||||
\(5\) | 0.0203200 | + | 0.0509993i | 0.00908738 | + | 0.0228076i | 0.933450 | − | 0.358706i | \(-0.116782\pi\) |
−0.924363 | + | 0.381514i | \(0.875403\pi\) | |||||||
\(6\) | 1.30894 | − | 1.54100i | 0.534373 | − | 0.629112i | ||||
\(7\) | −3.48406 | − | 1.61190i | −1.31685 | − | 0.609241i | −0.369439 | − | 0.929255i | \(-0.620450\pi\) |
−0.947413 | + | 0.320014i | \(0.896312\pi\) | |||||||
\(8\) | 0.0998732 | − | 0.147302i | 0.0353105 | − | 0.0520791i | ||||
\(9\) | 0.468408 | − | 0.883512i | 0.156136 | − | 0.294504i | ||||
\(10\) | 0.0718588 | + | 0.0845987i | 0.0227237 | + | 0.0267525i | ||||
\(11\) | 0.695053 | + | 2.50335i | 0.209566 | + | 0.754789i | 0.991351 | + | 0.131240i | \(0.0418960\pi\) |
−0.781784 | + | 0.623549i | \(0.785690\pi\) | |||||||
\(12\) | 0.772856 | − | 1.93972i | 0.223104 | − | 0.559950i | ||||
\(13\) | 2.54501 | + | 4.80040i | 0.705860 | + | 1.33139i | 0.933827 | + | 0.357724i | \(0.116447\pi\) |
−0.227968 | + | 0.973669i | \(0.573208\pi\) | |||||||
\(14\) | −7.71625 | − | 0.839193i | −2.06226 | − | 0.224284i | ||||
\(15\) | 0.0437042 | + | 0.0332231i | 0.0112844 | + | 0.00857817i | ||||
\(16\) | −1.02094 | + | 3.67711i | −0.255236 | + | 0.919278i | ||||
\(17\) | 0.787366 | − | 0.364274i | 0.190964 | − | 0.0883495i | −0.322077 | − | 0.946714i | \(-0.604381\pi\) |
0.513041 | + | 0.858364i | \(0.328519\pi\) | |||||||
\(18\) | 0.327105 | − | 1.99525i | 0.0770993 | − | 0.470285i | ||||
\(19\) | −2.36917 | − | 0.521495i | −0.543526 | − | 0.119639i | −0.0652831 | − | 0.997867i | \(-0.520795\pi\) |
−0.478243 | + | 0.878228i | \(0.658726\pi\) | |||||||
\(20\) | 0.0982207 | + | 0.0590974i | 0.0219628 | + | 0.0132146i | ||||
\(21\) | −3.81636 | + | 0.415055i | −0.832799 | + | 0.0905724i | ||||
\(22\) | 2.94790 | + | 4.34782i | 0.628493 | + | 0.926958i | ||||
\(23\) | −1.35479 | − | 8.26386i | −0.282493 | − | 1.72313i | −0.622421 | − | 0.782682i | \(-0.713851\pi\) |
0.339928 | − | 0.940451i | \(-0.389597\pi\) | |||||||
\(24\) | 0.00963498 | − | 0.177707i | 0.00196673 | − | 0.0362742i | ||||
\(25\) | 3.62779 | − | 3.43642i | 0.725558 | − | 0.687285i | ||||
\(26\) | 7.97546 | + | 7.55476i | 1.56412 | + | 1.48161i | ||||
\(27\) | −0.0541389 | − | 0.998533i | −0.0104190 | − | 0.192168i | ||||
\(28\) | −7.82824 | + | 1.72312i | −1.47940 | + | 0.325640i | ||||
\(29\) | −6.21213 | − | 2.09311i | −1.15356 | − | 0.388681i | −0.323433 | − | 0.946251i | \(-0.604837\pi\) |
−0.830130 | + | 0.557570i | \(0.811734\pi\) | |||||||
\(30\) | 0.105188 | + | 0.0354419i | 0.0192046 | + | 0.00647078i | ||||
\(31\) | −0.834606 | + | 0.183711i | −0.149900 | + | 0.0329954i | −0.289286 | − | 0.957243i | \(-0.593418\pi\) |
0.139387 | + | 0.990238i | \(0.455487\pi\) | |||||||
\(32\) | 0.437003 | + | 8.06004i | 0.0772519 | + | 1.42483i | ||||
\(33\) | 1.88617 | + | 1.78668i | 0.328341 | + | 0.311021i | ||||
\(34\) | 1.27346 | − | 1.20628i | 0.218396 | − | 0.206876i | ||||
\(35\) | 0.0114097 | − | 0.210439i | 0.00192858 | − | 0.0355706i | ||||
\(36\) | −0.337804 | − | 2.06051i | −0.0563007 | − | 0.343419i | ||||
\(37\) | 0.774310 | + | 1.14202i | 0.127296 | + | 0.187747i | 0.885996 | − | 0.463692i | \(-0.153476\pi\) |
−0.758700 | + | 0.651440i | \(0.774165\pi\) | |||||||
\(38\) | −4.87612 | + | 0.530310i | −0.791011 | + | 0.0860276i | ||||
\(39\) | 4.65558 | + | 2.80117i | 0.745489 | + | 0.448546i | ||||
\(40\) | 0.00954173 | + | 0.00210029i | 0.00150868 | + | 0.000332085i | ||||
\(41\) | 0.402216 | − | 2.45341i | 0.0628156 | − | 0.383158i | −0.936644 | − | 0.350283i | \(-0.886085\pi\) |
0.999459 | − | 0.0328751i | \(-0.0104664\pi\) | |||||||
\(42\) | −7.04438 | + | 3.25908i | −1.08697 | + | 0.502886i | ||||
\(43\) | −2.51249 | + | 9.04919i | −0.383152 | + | 1.37999i | 0.480984 | + | 0.876729i | \(0.340280\pi\) |
−0.864136 | + | 0.503259i | \(0.832134\pi\) | |||||||
\(44\) | 4.31863 | + | 3.28294i | 0.651059 | + | 0.494922i | ||||
\(45\) | 0.0545766 | + | 0.00593556i | 0.00813580 | + | 0.000884821i | ||||
\(46\) | −7.93092 | − | 14.9593i | −1.16935 | − | 2.20563i | ||||
\(47\) | 2.80371 | − | 7.03678i | 0.408963 | − | 1.02642i | −0.569866 | − | 0.821738i | \(-0.693005\pi\) |
0.978829 | − | 0.204682i | \(-0.0656159\pi\) | |||||||
\(48\) | 1.02094 | + | 3.67711i | 0.147361 | + | 0.530745i | ||||
\(49\) | 5.00877 | + | 5.89678i | 0.715539 | + | 0.842397i | ||||
\(50\) | 4.73249 | − | 8.92642i | 0.669275 | − | 1.26239i | ||||
\(51\) | 0.486857 | − | 0.718060i | 0.0681736 | − | 0.100549i | ||||
\(52\) | 10.2963 | + | 4.76359i | 1.42785 | + | 0.660592i | ||||
\(53\) | 1.40542 | − | 1.65458i | 0.193049 | − | 0.227274i | −0.657119 | − | 0.753787i | \(-0.728225\pi\) |
0.850167 | + | 0.526513i | \(0.176501\pi\) | |||||||
\(54\) | −0.748377 | − | 1.87828i | −0.101841 | − | 0.255602i | ||||
\(55\) | −0.113546 | + | 0.0863153i | −0.0153105 | + | 0.0116388i | ||||
\(56\) | −0.585400 | + | 0.352224i | −0.0782274 | + | 0.0470679i | ||||
\(57\) | −2.29890 | + | 0.774590i | −0.304497 | + | 0.102597i | ||||
\(58\) | −13.2540 | −1.74034 | ||||||||
\(59\) | 3.48621 | − | 6.84444i | 0.453866 | − | 0.891070i | ||||
\(60\) | 0.114629 | 0.0147985 | ||||||||
\(61\) | −0.490358 | + | 0.165221i | −0.0627840 | + | 0.0211544i | −0.350518 | − | 0.936556i | \(-0.613995\pi\) |
0.287734 | + | 0.957710i | \(0.407098\pi\) | |||||||
\(62\) | −1.48054 | + | 0.890812i | −0.188029 | + | 0.113133i | ||||
\(63\) | −3.05610 | + | 2.32318i | −0.385032 | + | 0.292694i | ||||
\(64\) | 3.21576 | + | 8.07094i | 0.401969 | + | 1.00887i | ||||
\(65\) | −0.193103 | + | 0.227338i | −0.0239515 | + | 0.0281978i | ||||
\(66\) | 4.76746 | + | 2.20566i | 0.586834 | + | 0.271498i | ||||
\(67\) | −5.10240 | + | 7.52548i | −0.623357 | + | 0.919383i | −0.999976 | − | 0.00698511i | \(-0.997777\pi\) |
0.376618 | + | 0.926369i | \(0.377087\pi\) | |||||||
\(68\) | 0.848503 | − | 1.60045i | 0.102896 | − | 0.194083i | ||||
\(69\) | −5.42133 | − | 6.38248i | −0.652651 | − | 0.768360i | ||||
\(70\) | −0.113996 | − | 0.410576i | −0.0136251 | − | 0.0490732i | ||||
\(71\) | 1.88712 | − | 4.73631i | 0.223960 | − | 0.562097i | −0.773463 | − | 0.633841i | \(-0.781477\pi\) |
0.997423 | + | 0.0717444i | \(0.0228566\pi\) | |||||||
\(72\) | −0.0833616 | − | 0.157237i | −0.00982426 | − | 0.0185305i | ||||
\(73\) | 10.4214 | + | 1.13340i | 1.21973 | + | 0.132654i | 0.695251 | − | 0.718767i | \(-0.255293\pi\) |
0.524483 | + | 0.851421i | \(0.324259\pi\) | |||||||
\(74\) | 2.22089 | + | 1.68828i | 0.258173 | + | 0.196258i | ||||
\(75\) | 1.33684 | − | 4.81485i | 0.154364 | − | 0.555971i | ||||
\(76\) | −4.59715 | + | 2.12687i | −0.527329 | + | 0.243969i | ||||
\(77\) | 1.61355 | − | 9.84219i | 0.183881 | − | 1.12162i | ||||
\(78\) | 10.7287 | + | 2.36157i | 1.21479 | + | 0.267395i | ||||
\(79\) | −6.49431 | − | 3.90750i | −0.730667 | − | 0.439628i | 0.101012 | − | 0.994885i | \(-0.467792\pi\) |
−0.831678 | + | 0.555258i | \(0.812620\pi\) | |||||||
\(80\) | −0.208276 | + | 0.0226514i | −0.0232859 | + | 0.00253250i | ||||
\(81\) | −0.561187 | − | 0.827689i | −0.0623541 | − | 0.0919654i | ||||
\(82\) | −0.813235 | − | 4.96051i | −0.0898068 | − | 0.547797i | ||||
\(83\) | −0.626748 | + | 11.5597i | −0.0687945 | + | 1.26884i | 0.736693 | + | 0.676227i | \(0.236386\pi\) |
−0.805488 | + | 0.592613i | \(0.798096\pi\) | |||||||
\(84\) | −5.81932 | + | 5.51235i | −0.634939 | + | 0.601447i | ||||
\(85\) | 0.0345770 | + | 0.0327531i | 0.00375040 | + | 0.00355257i | ||||
\(86\) | 1.02802 | + | 18.9607i | 0.110854 | + | 2.04459i | ||||
\(87\) | −6.40202 | + | 1.40919i | −0.686368 | + | 0.151081i | ||||
\(88\) | 0.438166 | + | 0.147635i | 0.0467086 | + | 0.0157380i | ||||
\(89\) | 4.10144 | + | 1.38194i | 0.434752 | + | 0.146485i | 0.528164 | − | 0.849143i | \(-0.322881\pi\) |
−0.0934118 | + | 0.995628i | \(0.529777\pi\) | |||||||
\(90\) | 0.108403 | − | 0.0238614i | 0.0114267 | − | 0.00251521i | ||||
\(91\) | −1.12922 | − | 20.8272i | −0.118374 | − | 2.18329i | ||||
\(92\) | −12.6944 | − | 12.0247i | −1.32348 | − | 1.25367i | ||||
\(93\) | −0.620425 | + | 0.587698i | −0.0643351 | + | 0.0609415i | ||||
\(94\) | 0.829154 | − | 15.2928i | 0.0855207 | − | 1.57734i | ||||
\(95\) | −0.0215457 | − | 0.131423i | −0.00221054 | − | 0.0134837i | ||||
\(96\) | 4.52983 | + | 6.68100i | 0.462324 | + | 0.681877i | ||||
\(97\) | 2.30594 | − | 0.250786i | 0.234133 | − | 0.0254635i | 0.00969970 | − | 0.999953i | \(-0.496912\pi\) |
0.224433 | + | 0.974489i | \(0.427947\pi\) | |||||||
\(98\) | 13.4039 | + | 8.06488i | 1.35400 | + | 0.814676i | ||||
\(99\) | 2.53731 | + | 0.558504i | 0.255009 | + | 0.0561318i | ||||
\(100\) | 1.68800 | − | 10.2964i | 0.168800 | − | 1.02964i | ||||
\(101\) | −9.73906 | + | 4.50577i | −0.969073 | + | 0.448341i | −0.839578 | − | 0.543239i | \(-0.817198\pi\) |
−0.129495 | + | 0.991580i | \(0.541336\pi\) | |||||||
\(102\) | 0.469267 | − | 1.69015i | 0.0464644 | − | 0.167350i | ||||
\(103\) | 15.0589 | + | 11.4475i | 1.48380 | + | 1.12795i | 0.961367 | + | 0.275269i | \(0.0887669\pi\) |
0.522428 | + | 0.852683i | \(0.325026\pi\) | |||||||
\(104\) | 0.961288 | + | 0.104546i | 0.0942620 | + | 0.0102516i | ||||
\(105\) | −0.0987160 | − | 0.186198i | −0.00963370 | − | 0.0181711i | ||||
\(106\) | 1.62466 | − | 4.07758i | 0.157801 | − | 0.396050i | ||||
\(107\) | −4.78244 | − | 17.2248i | −0.462336 | − | 1.66518i | −0.716161 | − | 0.697935i | \(-0.754103\pi\) |
0.253825 | − | 0.967250i | \(-0.418311\pi\) | |||||||
\(108\) | −1.35176 | − | 1.59141i | −0.130073 | − | 0.153134i | ||||
\(109\) | −5.88525 | + | 11.1008i | −0.563705 | + | 1.06326i | 0.423812 | + | 0.905750i | \(0.360692\pi\) |
−0.987517 | + | 0.157510i | \(0.949653\pi\) | |||||||
\(110\) | −0.161835 | + | 0.238688i | −0.0154303 | + | 0.0227580i | ||||
\(111\) | 1.25225 | + | 0.579351i | 0.118858 | + | 0.0549896i | ||||
\(112\) | 9.48416 | − | 11.1656i | 0.896169 | − | 1.05505i | ||||
\(113\) | 1.95514 | + | 4.90703i | 0.183924 | + | 0.461615i | 0.991810 | − | 0.127725i | \(-0.0407674\pi\) |
−0.807886 | + | 0.589339i | \(0.799388\pi\) | |||||||
\(114\) | −3.90473 | + | 2.96830i | −0.365712 | + | 0.278007i | ||||
\(115\) | 0.393922 | − | 0.237015i | 0.0367334 | − | 0.0221018i | ||||
\(116\) | −12.9710 | + | 4.37046i | −1.20433 | + | 0.405787i | ||||
\(117\) | 5.43332 | 0.502311 | ||||||||
\(118\) | 2.26103 | − | 15.3649i | 0.208144 | − | 1.41446i | ||||
\(119\) | −3.33040 | −0.305298 | ||||||||
\(120\) | 0.00925871 | − | 0.00311962i | 0.000845201 | − | 0.000284781i | ||||
\(121\) | 3.64175 | − | 2.19117i | 0.331068 | − | 0.199197i | ||||
\(122\) | −0.832884 | + | 0.633142i | −0.0754058 | + | 0.0573220i | ||||
\(123\) | −0.920223 | − | 2.30959i | −0.0829737 | − | 0.208248i | ||||
\(124\) | −1.15519 | + | 1.36000i | −0.103739 | + | 0.122131i | ||||
\(125\) | 0.498094 | + | 0.230443i | 0.0445509 | + | 0.0206114i | ||||
\(126\) | −4.35579 | + | 6.42432i | −0.388045 | + | 0.572324i | ||||
\(127\) | 5.98808 | − | 11.2947i | 0.531356 | − | 1.00224i | −0.461969 | − | 0.886896i | \(-0.652857\pi\) |
0.993325 | − | 0.115348i | \(-0.0367983\pi\) | |||||||
\(128\) | 0.920818 | + | 1.08407i | 0.0813896 | + | 0.0958193i | ||||
\(129\) | 2.51249 | + | 9.04919i | 0.221213 | + | 0.796737i | ||||
\(130\) | −0.223226 | + | 0.560256i | −0.0195782 | + | 0.0491377i | ||||
\(131\) | 9.25276 | + | 17.4525i | 0.808417 | + | 1.52484i | 0.850652 | + | 0.525729i | \(0.176207\pi\) |
−0.0422354 | + | 0.999108i | \(0.513448\pi\) | |||||||
\(132\) | 5.39299 | + | 0.586523i | 0.469399 | + | 0.0510502i | ||||
\(133\) | 7.41375 | + | 5.63579i | 0.642854 | + | 0.488685i | ||||
\(134\) | −4.91805 | + | 17.7132i | −0.424855 | + | 1.53019i | ||||
\(135\) | 0.0498244 | − | 0.0230512i | 0.00428821 | − | 0.00198394i | ||||
\(136\) | 0.0249784 | − | 0.152362i | 0.00214188 | − | 0.0130649i | ||||
\(137\) | 0.157292 | + | 0.0346226i | 0.0134384 | + | 0.00295801i | 0.221685 | − | 0.975118i | \(-0.428844\pi\) |
−0.208246 | + | 0.978076i | \(0.566776\pi\) | |||||||
\(138\) | −14.5080 | − | 8.72916i | −1.23500 | − | 0.743076i | ||||
\(139\) | 13.8173 | − | 1.50272i | 1.17196 | − | 0.127459i | 0.498642 | − | 0.866808i | \(-0.333832\pi\) |
0.673323 | + | 0.739349i | \(0.264867\pi\) | |||||||
\(140\) | −0.246948 | − | 0.364221i | −0.0208709 | − | 0.0307823i | ||||
\(141\) | −1.22546 | − | 7.47498i | −0.103202 | − | 0.629507i | ||||
\(142\) | 0.558086 | − | 10.2933i | 0.0468336 | − | 0.863795i | ||||
\(143\) | −10.2482 | + | 9.70760i | −0.856997 | + | 0.811790i | ||||
\(144\) | 2.77055 | + | 2.62441i | 0.230879 | + | 0.218701i | ||||
\(145\) | −0.0194832 | − | 0.359346i | −0.00161799 | − | 0.0298421i | ||||
\(146\) | 20.6996 | − | 4.55633i | 1.71311 | − | 0.377085i | ||||
\(147\) | 7.33191 | + | 2.47041i | 0.604726 | + | 0.203756i | ||||
\(148\) | 2.73018 | + | 0.919905i | 0.224419 | + | 0.0756157i | ||||
\(149\) | 3.73364 | − | 0.821836i | 0.305872 | − | 0.0673275i | −0.0593824 | − | 0.998235i | \(-0.518913\pi\) |
0.365254 | + | 0.930908i | \(0.380982\pi\) | |||||||
\(150\) | −0.546983 | − | 10.0885i | −0.0446610 | − | 0.823724i | ||||
\(151\) | −12.9506 | − | 12.2674i | −1.05390 | − | 0.998310i | −0.0539036 | − | 0.998546i | \(-0.517166\pi\) |
−1.00000 | 0.000235680i | \(0.999925\pi\) | ||||||||
\(152\) | −0.313434 | + | 0.296901i | −0.0254229 | + | 0.0240818i | ||||
\(153\) | 0.0469681 | − | 0.866276i | 0.00379715 | − | 0.0700343i | ||||
\(154\) | −3.26240 | − | 19.8998i | −0.262892 | − | 1.60357i | ||||
\(155\) | −0.0263283 | − | 0.0388314i | −0.00211474 | − | 0.00311901i | ||||
\(156\) | 11.2784 | − | 1.22660i | 0.902993 | − | 0.0982064i | ||||
\(157\) | 8.25308 | + | 4.96571i | 0.658667 | + | 0.396307i | 0.805286 | − | 0.592886i | \(-0.202012\pi\) |
−0.146619 | + | 0.989193i | \(0.546839\pi\) | |||||||
\(158\) | −14.9660 | − | 3.29427i | −1.19063 | − | 0.262078i | ||||
\(159\) | 0.351214 | − | 2.14231i | 0.0278531 | − | 0.169896i | ||||
\(160\) | −0.402177 | + | 0.186067i | −0.0317949 | + | 0.0147099i | ||||
\(161\) | −8.60033 | + | 30.9756i | −0.677801 | + | 2.44122i | ||||
\(162\) | −1.60961 | − | 1.22359i | −0.126463 | − | 0.0961345i | ||||
\(163\) | −22.2179 | − | 2.41634i | −1.74024 | − | 0.189262i | −0.817825 | − | 0.575467i | \(-0.804820\pi\) |
−0.922413 | + | 0.386204i | \(0.873786\pi\) | |||||||
\(164\) | −2.43158 | − | 4.58645i | −0.189875 | − | 0.358142i | ||||
\(165\) | −0.0527924 | + | 0.132499i | −0.00410988 | + | 0.0103150i | ||||
\(166\) | 6.26195 | + | 22.5535i | 0.486022 | + | 1.75049i | ||||
\(167\) | 2.45665 | + | 2.89220i | 0.190102 | + | 0.223805i | 0.848953 | − | 0.528468i | \(-0.177233\pi\) |
−0.658852 | + | 0.752273i | \(0.728958\pi\) | |||||||
\(168\) | −0.320014 | + | 0.603611i | −0.0246896 | + | 0.0465696i | ||||
\(169\) | −9.27136 | + | 13.6742i | −0.713181 | + | 1.05186i | ||||
\(170\) | 0.0873962 | + | 0.0404338i | 0.00670299 | + | 0.00310113i | ||||
\(171\) | −1.57049 | + | 1.84892i | −0.120098 | + | 0.141391i | ||||
\(172\) | 7.25828 | + | 18.2169i | 0.553439 | + | 1.38903i | ||||
\(173\) | −2.92245 | + | 2.22159i | −0.222190 | + | 0.168904i | −0.710348 | − | 0.703851i | \(-0.751462\pi\) |
0.488158 | + | 0.872755i | \(0.337669\pi\) | |||||||
\(174\) | −11.3568 | + | 6.83316i | −0.860957 | + | 0.518020i | ||||
\(175\) | −18.1786 | + | 6.12509i | −1.37417 | + | 0.463013i | ||||
\(176\) | −9.91471 | −0.747350 | ||||||||
\(177\) | −0.541495 | − | 7.66204i | −0.0407013 | − | 0.575914i | ||||
\(178\) | 8.75072 | 0.655894 | ||||||||
\(179\) | −6.77400 | + | 2.28243i | −0.506313 | + | 0.170597i | −0.560854 | − | 0.827915i | \(-0.689527\pi\) |
0.0545411 | + | 0.998512i | \(0.482630\pi\) | |||||||
\(180\) | 0.0982207 | − | 0.0590974i | 0.00732094 | − | 0.00440486i | ||||
\(181\) | −16.9837 | + | 12.9107i | −1.26239 | + | 0.959643i | −0.999986 | − | 0.00531572i | \(-0.998308\pi\) |
−0.262403 | + | 0.964958i | \(0.584515\pi\) | |||||||
\(182\) | −15.6095 | − | 39.1769i | −1.15705 | − | 2.90398i | ||||
\(183\) | −0.334987 | + | 0.394377i | −0.0247629 | + | 0.0291532i | ||||
\(184\) | −1.35259 | − | 0.625775i | −0.0997143 | − | 0.0461327i | ||||
\(185\) | −0.0425084 | + | 0.0626952i | −0.00312528 | + | 0.00460944i | ||||
\(186\) | −0.809351 | + | 1.52660i | −0.0593445 | + | 0.111936i | ||||
\(187\) | 1.45917 | + | 1.71786i | 0.106705 | + | 0.125623i | ||||
\(188\) | −4.23130 | − | 15.2398i | −0.308599 | − | 1.11147i | ||||
\(189\) | −1.42091 | + | 3.56622i | −0.103356 | + | 0.259404i | ||||
\(190\) | −0.126128 | − | 0.237903i | −0.00915030 | − | 0.0172593i | ||||
\(191\) | −24.6743 | − | 2.68349i | −1.78537 | − | 0.194171i | −0.845101 | − | 0.534607i | \(-0.820460\pi\) |
−0.940268 | + | 0.340436i | \(0.889425\pi\) | |||||||
\(192\) | 6.91645 | + | 5.25775i | 0.499152 | + | 0.379445i | ||||
\(193\) | −5.16092 | + | 18.5879i | −0.371491 | + | 1.33799i | 0.507706 | + | 0.861531i | \(0.330494\pi\) |
−0.879197 | + | 0.476459i | \(0.841920\pi\) | |||||||
\(194\) | 4.25639 | − | 1.96921i | 0.305591 | − | 0.141381i | ||||
\(195\) | −0.0482564 | + | 0.294351i | −0.00345572 | + | 0.0210789i | ||||
\(196\) | 15.7771 | + | 3.47281i | 1.12694 | + | 0.248058i | ||||
\(197\) | 8.30618 | + | 4.99766i | 0.591791 | + | 0.356069i | 0.779734 | − | 0.626111i | \(-0.215354\pi\) |
−0.187943 | + | 0.982180i | \(0.560182\pi\) | |||||||
\(198\) | 5.22217 | − | 0.567945i | 0.371123 | − | 0.0403621i | ||||
\(199\) | −5.36801 | − | 7.91722i | −0.380528 | − | 0.561237i | 0.588403 | − | 0.808568i | \(-0.299757\pi\) |
−0.968931 | + | 0.247331i | \(0.920447\pi\) | |||||||
\(200\) | −0.143873 | − | 0.877587i | −0.0101734 | − | 0.0620548i | ||||
\(201\) | −0.492239 | + | 9.07882i | −0.0347199 | + | 0.640371i | ||||
\(202\) | −15.7516 | + | 14.9207i | −1.10828 | + | 1.04982i | ||||
\(203\) | 18.2696 | + | 17.3058i | 1.28227 | + | 1.21463i | ||||
\(204\) | −0.0980704 | − | 1.80880i | −0.00686630 | − | 0.126642i | ||||
\(205\) | 0.133295 | − | 0.0293405i | 0.00930975 | − | 0.00204923i | ||||
\(206\) | 36.2439 | + | 12.2120i | 2.52523 | + | 0.850850i | ||||
\(207\) | −7.93581 | − | 2.67389i | −0.551577 | − | 0.185848i | ||||
\(208\) | −20.2499 | + | 4.45735i | −1.40408 | + | 0.309061i | ||||
\(209\) | −0.341215 | − | 6.29335i | −0.0236024 | − | 0.435320i | ||||
\(210\) | −0.309352 | − | 0.293034i | −0.0213473 | − | 0.0202213i | ||||
\(211\) | 17.4901 | − | 16.5675i | 1.20407 | − | 1.14055i | 0.217695 | − | 0.976017i | \(-0.430146\pi\) |
0.986371 | − | 0.164535i | \(-0.0526123\pi\) | |||||||
\(212\) | 0.245406 | − | 4.52625i | 0.0168546 | − | 0.310864i | ||||
\(213\) | −0.824832 | − | 5.03125i | −0.0565166 | − | 0.344736i | ||||
\(214\) | −20.2836 | − | 29.9160i | −1.38656 | − | 2.04502i | ||||
\(215\) | −0.512556 | + | 0.0557439i | −0.0349561 | + | 0.00380170i | ||||
\(216\) | −0.152493 | − | 0.0917520i | −0.0103758 | − | 0.00624293i | ||||
\(217\) | 3.20394 | + | 0.705241i | 0.217498 | + | 0.0478749i | ||||
\(218\) | −4.10986 | + | 25.0690i | −0.278355 | + | 1.69789i | ||||
\(219\) | 9.51399 | − | 4.40164i | 0.642896 | − | 0.297435i | ||||
\(220\) | −0.0796732 | + | 0.286957i | −0.00537156 | + | 0.0193466i | ||||
\(221\) | 3.75252 | + | 2.85259i | 0.252422 | + | 0.191886i | ||||
\(222\) | 2.77339 | + | 0.301624i | 0.186137 | + | 0.0202437i | ||||
\(223\) | 7.40603 | + | 13.9692i | 0.495944 | + | 0.935450i | 0.997523 | + | 0.0703382i | \(0.0224078\pi\) |
−0.501579 | + | 0.865112i | \(0.667247\pi\) | |||||||
\(224\) | 11.4694 | − | 28.7861i | 0.766333 | − | 1.92335i | ||||
\(225\) | −1.33684 | − | 4.81485i | −0.0891224 | − | 0.320990i | ||||
\(226\) | 6.91408 | + | 8.13988i | 0.459918 | + | 0.541457i | ||||
\(227\) | 6.00122 | − | 11.3195i | 0.398315 | − | 0.751302i | −0.600517 | − | 0.799612i | \(-0.705039\pi\) |
0.998832 | + | 0.0483100i | \(0.0153835\pi\) | |||||||
\(228\) | −2.84259 | + | 4.19250i | −0.188255 | + | 0.277655i | ||||
\(229\) | 6.39996 | + | 2.96094i | 0.422921 | + | 0.195664i | 0.619794 | − | 0.784765i | \(-0.287216\pi\) |
−0.196872 | + | 0.980429i | \(0.563078\pi\) | |||||||
\(230\) | 0.601758 | − | 0.708444i | 0.0396788 | − | 0.0467134i | ||||
\(231\) | −3.69160 | − | 9.26522i | −0.242890 | − | 0.609607i | ||||
\(232\) | −0.928744 | + | 0.706013i | −0.0609750 | + | 0.0463520i | ||||
\(233\) | 15.5863 | − | 9.37798i | 1.02109 | − | 0.614372i | 0.0965028 | − | 0.995333i | \(-0.469234\pi\) |
0.924591 | + | 0.380961i | \(0.124407\pi\) | |||||||
\(234\) | 10.4105 | − | 3.50770i | 0.680555 | − | 0.229306i | ||||
\(235\) | 0.415842 | 0.0271266 | ||||||||
\(236\) | −2.85377 | − | 15.7825i | −0.185764 | − | 1.02735i | ||||
\(237\) | −7.57922 | −0.492323 | ||||||||
\(238\) | −6.38121 | + | 2.15008i | −0.413632 | + | 0.139369i | ||||
\(239\) | −13.1661 | + | 7.92178i | −0.851644 | + | 0.512417i | −0.873207 | − | 0.487350i | \(-0.837964\pi\) |
0.0215624 | + | 0.999768i | \(0.493136\pi\) | |||||||
\(240\) | −0.166785 | + | 0.126786i | −0.0107659 | + | 0.00818402i | ||||
\(241\) | 0.689756 | + | 1.73116i | 0.0444311 | + | 0.111514i | 0.949517 | − | 0.313714i | \(-0.101573\pi\) |
−0.905086 | + | 0.425228i | \(0.860194\pi\) | |||||||
\(242\) | 5.56316 | − | 6.54946i | 0.357614 | − | 0.421015i | ||||
\(243\) | −0.907575 | − | 0.419889i | −0.0582210 | − | 0.0269359i | ||||
\(244\) | −0.606327 | + | 0.894265i | −0.0388161 | + | 0.0572494i | ||||
\(245\) | −0.198954 | + | 0.375266i | −0.0127107 | + | 0.0239749i | ||||
\(246\) | −3.25424 | − | 3.83119i | −0.207483 | − | 0.244267i | ||||
\(247\) | −3.52619 | − | 12.7002i | −0.224366 | − | 0.808095i | ||||
\(248\) | −0.0562938 | + | 0.141287i | −0.00357466 | + | 0.00897173i | ||||
\(249\) | 5.42261 | + | 10.2281i | 0.343644 | + | 0.648181i | ||||
\(250\) | 1.10314 | + | 0.119974i | 0.0697689 | + | 0.00758783i | ||||
\(251\) | −8.92791 | − | 6.78682i | −0.563525 | − | 0.428380i | 0.284240 | − | 0.958753i | \(-0.408259\pi\) |
−0.847764 | + | 0.530373i | \(0.822052\pi\) | |||||||
\(252\) | −2.14441 | + | 7.72347i | −0.135085 | + | 0.486533i | ||||
\(253\) | 19.7457 | − | 9.13534i | 1.24140 | − | 0.574334i | ||||
\(254\) | 4.18167 | − | 25.5071i | 0.262381 | − | 1.60045i | ||||
\(255\) | 0.0465135 | + | 0.0102384i | 0.00291279 | + | 0.000641154i | ||||
\(256\) | −12.4245 | − | 7.47559i | −0.776533 | − | 0.467225i | ||||
\(257\) | 20.8184 | − | 2.26413i | 1.29861 | − | 0.141233i | 0.567434 | − | 0.823419i | \(-0.307936\pi\) |
0.731179 | + | 0.682186i | \(0.238971\pi\) | |||||||
\(258\) | 10.6561 | + | 15.7166i | 0.663422 | + | 0.978474i | ||||
\(259\) | −0.856920 | − | 5.22698i | −0.0532464 | − | 0.324789i | ||||
\(260\) | −0.0337186 | + | 0.621903i | −0.00209114 | + | 0.0385688i | ||||
\(261\) | −4.75910 | + | 4.50806i | −0.294581 | + | 0.279042i | ||||
\(262\) | 28.9959 | + | 27.4664i | 1.79137 | + | 1.69688i | ||||
\(263\) | −0.680053 | − | 12.5428i | −0.0419339 | − | 0.773425i | −0.941577 | − | 0.336798i | \(-0.890656\pi\) |
0.899643 | − | 0.436626i | \(-0.143827\pi\) | |||||||
\(264\) | 0.451560 | − | 0.0993958i | 0.0277916 | − | 0.00611739i | ||||
\(265\) | 0.112941 | + | 0.0380541i | 0.00693789 | + | 0.00233765i | ||||
\(266\) | 17.8435 | + | 6.01218i | 1.09406 | + | 0.368630i | ||||
\(267\) | 4.22681 | − | 0.930392i | 0.258677 | − | 0.0569390i | ||||
\(268\) | 1.02781 | + | 18.9568i | 0.0627833 | + | 1.15797i | ||||
\(269\) | −10.1497 | − | 9.61428i | −0.618836 | − | 0.586193i | 0.312695 | − | 0.949854i | \(-0.398768\pi\) |
−0.931532 | + | 0.363661i | \(0.881527\pi\) | |||||||
\(270\) | 0.0805843 | − | 0.0763335i | 0.00490420 | − | 0.00464551i | ||||
\(271\) | 0.857834 | − | 15.8218i | 0.0521097 | − | 0.961107i | −0.849238 | − | 0.528010i | \(-0.822938\pi\) |
0.901348 | − | 0.433096i | \(-0.142579\pi\) | |||||||
\(272\) | 0.535619 | + | 3.26713i | 0.0324767 | + | 0.198099i | ||||
\(273\) | −11.7051 | − | 17.2638i | −0.708427 | − | 1.04485i | ||||
\(274\) | 0.323731 | − | 0.0352079i | 0.0195573 | − | 0.00212699i | ||||
\(275\) | 11.1241 | + | 6.69314i | 0.670808 | + | 0.403612i | ||||
\(276\) | −17.0767 | − | 3.75886i | −1.02789 | − | 0.226257i | ||||
\(277\) | 0.0489869 | − | 0.298807i | 0.00294334 | − | 0.0179536i | −0.985314 | − | 0.170752i | \(-0.945380\pi\) |
0.988257 | + | 0.152799i | \(0.0488286\pi\) | |||||||
\(278\) | 25.5044 | − | 11.7996i | 1.52965 | − | 0.707692i | ||||
\(279\) | −0.228626 | + | 0.823436i | −0.0136875 | + | 0.0492978i | ||||
\(280\) | −0.0298585 | − | 0.0226979i | −0.00178439 | − | 0.00135646i | ||||
\(281\) | 0.387558 | + | 0.0421495i | 0.0231198 | + | 0.00251443i | 0.119672 | − | 0.992814i | \(-0.461816\pi\) |
−0.0965518 | + | 0.995328i | \(0.530781\pi\) | |||||||
\(282\) | −7.17382 | − | 13.5313i | −0.427195 | − | 0.805774i | ||||
\(283\) | −9.27818 | + | 23.2865i | −0.551531 | + | 1.38424i | 0.343887 | + | 0.939011i | \(0.388256\pi\) |
−0.895418 | + | 0.445227i | \(0.853123\pi\) | |||||||
\(284\) | −2.84800 | − | 10.2576i | −0.168998 | − | 0.608675i | ||||
\(285\) | −0.0862173 | − | 0.101503i | −0.00510707 | − | 0.00601251i | ||||
\(286\) | −13.3689 | + | 25.2163i | −0.790517 | + | 1.49107i | ||||
\(287\) | −5.35600 | + | 7.89950i | −0.316154 | + | 0.466293i | ||||
\(288\) | 7.32584 | + | 3.38929i | 0.431679 | + | 0.199716i | ||||
\(289\) | −10.5183 | + | 12.3831i | −0.618725 | + | 0.728419i | ||||
\(290\) | −0.269321 | − | 0.675946i | −0.0158151 | − | 0.0396929i | ||||
\(291\) | 1.84657 | − | 1.40373i | 0.108248 | − | 0.0822878i | ||||
\(292\) | 18.7553 | − | 11.2847i | 1.09757 | − | 0.660385i | ||||
\(293\) | −9.92529 | + | 3.34422i | −0.579841 | + | 0.195371i | −0.593912 | − | 0.804530i | \(-0.702417\pi\) |
0.0140710 | + | 0.999901i | \(0.495521\pi\) | |||||||
\(294\) | 15.6431 | 0.912327 | ||||||||
\(295\) | 0.419902 | + | 0.0387153i | 0.0244476 | + | 0.00225409i | ||||
\(296\) | 0.245555 | 0.0142726 | ||||||||
\(297\) | 2.46205 | − | 0.829562i | 0.142863 | − | 0.0481361i | ||||
\(298\) | 6.62326 | − | 3.98508i | 0.383675 | − | 0.230850i | ||||
\(299\) | 36.2219 | − | 27.5352i | 2.09477 | − | 1.59240i | ||||
\(300\) | −3.86195 | − | 9.69277i | −0.222970 | − | 0.559612i | ||||
\(301\) | 23.3401 | − | 27.4780i | 1.34530 | − | 1.58381i | ||||
\(302\) | −32.7337 | − | 15.1442i | −1.88361 | − | 0.871451i | ||||
\(303\) | −6.02202 | + | 8.88181i | −0.345956 | + | 0.510247i | ||||
\(304\) | 4.33639 | − | 8.17930i | 0.248709 | − | 0.469115i | ||||
\(305\) | −0.0183902 | − | 0.0216507i | −0.00105302 | − | 0.00123971i | ||||
\(306\) | −0.469267 | − | 1.69015i | −0.0268262 | − | 0.0966193i | ||||
\(307\) | −7.06090 | + | 17.7215i | −0.402987 | + | 1.01142i | 0.577772 | + | 0.816198i | \(0.303922\pi\) |
−0.980759 | + | 0.195222i | \(0.937457\pi\) | |||||||
\(308\) | −9.75462 | − | 18.3992i | −0.555821 | − | 1.04839i | ||||
\(309\) | 18.8051 | + | 2.04518i | 1.06978 | + | 0.116346i | ||||
\(310\) | −0.0755154 | − | 0.0574054i | −0.00428899 | − | 0.00326040i | ||||
\(311\) | 5.40932 | − | 19.4826i | 0.306734 | − | 1.10476i | −0.636131 | − | 0.771581i | \(-0.719466\pi\) |
0.942865 | − | 0.333175i | \(-0.108120\pi\) | |||||||
\(312\) | 0.877585 | − | 0.406014i | 0.0496835 | − | 0.0229860i | ||||
\(313\) | 4.02048 | − | 24.5238i | 0.227251 | − | 1.38617i | −0.588842 | − | 0.808248i | \(-0.700416\pi\) |
0.816093 | − | 0.577921i | \(-0.196136\pi\) | |||||||
\(314\) | 19.0191 | + | 4.18642i | 1.07331 | + | 0.236253i | ||||
\(315\) | −0.180581 | − | 0.108652i | −0.0101746 | − | 0.00612184i | ||||
\(316\) | −15.7328 | + | 1.71104i | −0.885039 | + | 0.0962538i | ||||
\(317\) | 8.86036 | + | 13.0681i | 0.497648 | + | 0.733975i | 0.990706 | − | 0.136021i | \(-0.0434315\pi\) |
−0.493058 | + | 0.869996i | \(0.664121\pi\) | |||||||
\(318\) | −0.710114 | − | 4.33150i | −0.0398212 | − | 0.242899i | ||||
\(319\) | 0.922037 | − | 17.0060i | 0.0516241 | − | 0.952151i | ||||
\(320\) | −0.346268 | + | 0.328003i | −0.0193570 | + | 0.0183359i | ||||
\(321\) | −12.9782 | − | 12.2936i | −0.724372 | − | 0.686161i | ||||
\(322\) | 3.51894 | + | 64.9030i | 0.196103 | + | 3.61690i | ||||
\(323\) | −2.05537 | + | 0.452422i | −0.114364 | + | 0.0251734i | ||||
\(324\) | −1.97872 | − | 0.666708i | −0.109929 | − | 0.0370393i | ||||
\(325\) | 25.7290 | + | 8.66911i | 1.42719 | + | 0.480876i | ||||
\(326\) | −44.1304 | + | 9.71385i | −2.44416 | + | 0.538000i | ||||
\(327\) | 0.680221 | + | 12.5459i | 0.0376163 | + | 0.693792i | ||||
\(328\) | −0.321221 | − | 0.304277i | −0.0177365 | − | 0.0168009i | ||||
\(329\) | −21.1109 | + | 19.9973i | −1.16388 | + | 1.10249i | ||||
\(330\) | −0.0156125 | + | 0.287956i | −0.000859442 | + | 0.0158515i | ||||
\(331\) | 1.73003 | + | 10.5527i | 0.0950912 | + | 0.580031i | 0.990794 | + | 0.135378i | \(0.0432247\pi\) |
−0.895703 | + | 0.444653i | \(0.853327\pi\) | |||||||
\(332\) | 13.5652 | + | 20.0072i | 0.744486 | + | 1.09804i | ||||
\(333\) | 1.37168 | − | 0.149180i | 0.0751678 | − | 0.00817499i | ||||
\(334\) | 6.57424 | + | 3.95559i | 0.359726 | + | 0.216440i | ||||
\(335\) | −0.487475 | − | 0.107301i | −0.0266336 | − | 0.00586250i | ||||
\(336\) | 2.37010 | − | 14.4569i | 0.129299 | − | 0.788691i | ||||
\(337\) | −11.4411 | + | 5.29322i | −0.623237 | + | 0.288340i | −0.705981 | − | 0.708231i | \(-0.749494\pi\) |
0.0827439 | + | 0.996571i | \(0.473632\pi\) | |||||||
\(338\) | −8.93639 | + | 32.1860i | −0.486075 | + | 1.75069i | ||||
\(339\) | 4.20512 | + | 3.19665i | 0.228391 | + | 0.173618i | ||||
\(340\) | 0.0988633 | + | 0.0107520i | 0.00536161 | + | 0.000583111i | ||||
\(341\) | −1.03999 | − | 1.96162i | −0.0563185 | − | 0.106228i | ||||
\(342\) | −1.81548 | + | 4.55651i | −0.0981699 | + | 0.246388i | ||||
\(343\) | −0.756811 | − | 2.72579i | −0.0408640 | − | 0.147179i | ||||
\(344\) | 1.08203 | + | 1.27387i | 0.0583393 | + | 0.0686823i | ||||
\(345\) | 0.215341 | − | 0.406176i | 0.0115936 | − | 0.0218678i | ||||
\(346\) | −4.16531 | + | 6.14338i | −0.223929 | + | 0.330270i | ||||
\(347\) | −9.97012 | − | 4.61267i | −0.535224 | − | 0.247621i | 0.133608 | − | 0.991034i | \(-0.457344\pi\) |
−0.668832 | + | 0.743413i | \(0.733206\pi\) | |||||||
\(348\) | −8.86113 | + | 10.4321i | −0.475006 | + | 0.559221i | ||||
\(349\) | −11.0460 | − | 27.7235i | −0.591281 | − | 1.48400i | −0.854596 | − | 0.519293i | \(-0.826195\pi\) |
0.263315 | − | 0.964710i | \(-0.415184\pi\) | |||||||
\(350\) | −30.8768 | + | 23.4719i | −1.65043 | + | 1.25463i | ||||
\(351\) | 4.65558 | − | 2.80117i | 0.248496 | − | 0.149515i | ||||
\(352\) | −19.8734 | + | 6.69612i | −1.05925 | + | 0.356905i | ||||
\(353\) | −19.1670 | −1.02016 | −0.510079 | − | 0.860127i | \(-0.670384\pi\) | ||||
−0.510079 | + | 0.860127i | \(0.670384\pi\) | |||||||
\(354\) | −5.98407 | − | 14.3312i | −0.318050 | − | 0.761696i | ||||
\(355\) | 0.279895 | 0.0148553 | ||||||||
\(356\) | 8.56389 | − | 2.88551i | 0.453886 | − | 0.152932i | ||||
\(357\) | −2.85368 | + | 1.71700i | −0.151033 | + | 0.0908734i | ||||
\(358\) | −11.5058 | + | 8.74647i | −0.608099 | + | 0.462265i | ||||
\(359\) | 12.4319 | + | 31.2017i | 0.656131 | + | 1.64676i | 0.758228 | + | 0.651990i | \(0.226066\pi\) |
−0.102097 | + | 0.994774i | \(0.532555\pi\) | |||||||
\(360\) | 0.00632506 | − | 0.00744644i | 0.000333360 | − | 0.000392462i | ||||
\(361\) | −11.9029 | − | 5.50687i | −0.626469 | − | 0.289835i | ||||
\(362\) | −24.2065 | + | 35.7020i | −1.27227 | + | 1.87645i | ||||
\(363\) | 1.99079 | − | 3.75504i | 0.104490 | − | 0.197088i | ||||
\(364\) | −28.1947 | − | 33.1933i | −1.47780 | − | 1.73980i | ||||
\(365\) | 0.153961 | + | 0.554516i | 0.00805866 | + | 0.0290247i | ||||
\(366\) | −0.387244 | + | 0.971909i | −0.0202416 | + | 0.0508025i | ||||
\(367\) | −14.6141 | − | 27.5652i | −0.762851 | − | 1.43889i | −0.894254 | − | 0.447560i | \(-0.852293\pi\) |
0.131403 | − | 0.991329i | \(-0.458052\pi\) | |||||||
\(368\) | 31.7703 | + | 3.45523i | 1.65614 | + | 0.180116i | ||||
\(369\) | −1.97922 | − | 1.50456i | −0.103034 | − | 0.0783243i | ||||
\(370\) | −0.0409726 | + | 0.147570i | −0.00213006 | + | 0.00767179i | ||||
\(371\) | −7.56357 | + | 3.49928i | −0.392681 | + | 0.181674i | ||||
\(372\) | −0.288683 | + | 1.76089i | −0.0149675 | + | 0.0912977i | ||||
\(373\) | −11.2832 | − | 2.48362i | −0.584221 | − | 0.128597i | −0.0869813 | − | 0.996210i | \(-0.527722\pi\) |
−0.497240 | + | 0.867613i | \(0.665653\pi\) | |||||||
\(374\) | 3.90487 | + | 2.34948i | 0.201916 | + | 0.121489i | ||||
\(375\) | 0.545601 | − | 0.0593377i | 0.0281747 | − | 0.00306419i | ||||
\(376\) | −0.756516 | − | 1.11578i | −0.0390143 | − | 0.0575418i | ||||
\(377\) | −5.76217 | − | 35.1477i | −0.296767 | − | 1.81020i | ||||
\(378\) | −0.420213 | + | 7.75037i | −0.0216134 | + | 0.398636i | ||||
\(379\) | −8.76611 | + | 8.30370i | −0.450285 | + | 0.426533i | −0.878938 | − | 0.476937i | \(-0.841747\pi\) |
0.428653 | + | 0.903469i | \(0.358988\pi\) | |||||||
\(380\) | −0.201883 | − | 0.191234i | −0.0103564 | − | 0.00981008i | ||||
\(381\) | −0.692106 | − | 12.7651i | −0.0354576 | − | 0.653978i | ||||
\(382\) | −49.0095 | + | 10.7878i | −2.50754 | + | 0.551952i | ||||
\(383\) | 15.8721 | + | 5.34794i | 0.811027 | + | 0.273267i | 0.694104 | − | 0.719874i | \(-0.255801\pi\) |
0.116922 | + | 0.993141i | \(0.462697\pi\) | |||||||
\(384\) | 1.34791 | + | 0.454163i | 0.0687851 | + | 0.0231764i | ||||
\(385\) | 0.534733 | − | 0.117704i | 0.0272525 | − | 0.00599873i | ||||
\(386\) | 2.11166 | + | 38.9472i | 0.107480 | + | 1.98236i | ||||
\(387\) | 6.81819 | + | 6.45853i | 0.346588 | + | 0.328306i | ||||
\(388\) | 3.51617 | − | 3.33070i | 0.178507 | − | 0.169091i | ||||
\(389\) | 1.86151 | − | 34.3335i | 0.0943823 | − | 1.74078i | −0.442187 | − | 0.896923i | \(-0.645797\pi\) |
0.536570 | − | 0.843856i | \(-0.319720\pi\) | |||||||
\(390\) | 0.0975690 | + | 0.595145i | 0.00494060 | + | 0.0301363i | ||||
\(391\) | −4.07703 | − | 6.01316i | −0.206184 | − | 0.304099i | ||||
\(392\) | 1.36885 | − | 0.148871i | 0.0691373 | − | 0.00751914i | ||||
\(393\) | 16.9260 | + | 10.1840i | 0.853805 | + | 0.513717i | ||||
\(394\) | 19.1415 | + | 4.21335i | 0.964333 | + | 0.212266i | ||||
\(395\) | 0.0673154 | − | 0.410606i | 0.00338700 | − | 0.0206598i | ||||
\(396\) | 4.92340 | − | 2.27781i | 0.247410 | − | 0.114464i | ||||
\(397\) | −2.15621 | + | 7.76596i | −0.108217 | + | 0.389762i | −0.997745 | − | 0.0671182i | \(-0.978620\pi\) |
0.889528 | + | 0.456881i | \(0.151033\pi\) | |||||||
\(398\) | −15.3966 | − | 11.7042i | −0.771764 | − | 0.586680i | ||||
\(399\) | 9.25808 | + | 1.00688i | 0.463484 | + | 0.0504069i | ||||
\(400\) | 8.93234 | + | 16.8482i | 0.446617 | + | 0.842409i | ||||
\(401\) | 6.21939 | − | 15.6095i | 0.310581 | − | 0.779501i | −0.687972 | − | 0.725737i | \(-0.741499\pi\) |
0.998554 | − | 0.0537636i | \(-0.0171217\pi\) | |||||||
\(402\) | 4.91805 | + | 17.7132i | 0.245290 | + | 0.883456i | ||||
\(403\) | −3.00597 | − | 3.53890i | −0.149738 | − | 0.176285i | ||||
\(404\) | −10.4953 | + | 19.7962i | −0.522160 | + | 0.984897i | ||||
\(405\) | 0.0308083 | − | 0.0454388i | 0.00153088 | − | 0.00225787i | ||||
\(406\) | 46.1778 | + | 21.3641i | 2.29177 | + | 1.06028i | ||||
\(407\) | −2.32070 | + | 2.73214i | −0.115033 | + | 0.135427i | ||||
\(408\) | −0.0571477 | − | 0.143430i | −0.00282923 | − | 0.00710084i | ||||
\(409\) | 17.2031 | − | 13.0775i | 0.850640 | − | 0.646640i | −0.0862465 | − | 0.996274i | \(-0.527487\pi\) |
0.936886 | + | 0.349634i | \(0.113694\pi\) | |||||||
\(410\) | 0.236458 | − | 0.142272i | 0.0116778 | − | 0.00702632i | ||||
\(411\) | 0.152627 | − | 0.0514259i | 0.00752852 | − | 0.00253665i | ||||
\(412\) | 39.4970 | 1.94588 | ||||||||
\(413\) | −23.1787 | + | 18.2270i | −1.14055 | + | 0.896894i | ||||
\(414\) | −16.9316 | −0.832144 | ||||||||
\(415\) | −0.602272 | + | 0.202929i | −0.0295644 | + | 0.00996139i | ||||
\(416\) | −37.5793 | + | 22.6107i | −1.84248 | + | 1.10858i | ||||
\(417\) | 11.0647 | − | 8.41116i | 0.541840 | − | 0.411896i | ||||
\(418\) | −4.71671 | − | 11.8381i | −0.230702 | − | 0.579018i | ||||
\(419\) | 4.18900 | − | 4.93167i | 0.204646 | − | 0.240928i | −0.650259 | − | 0.759713i | \(-0.725340\pi\) |
0.854905 | + | 0.518785i | \(0.173615\pi\) | |||||||
\(420\) | −0.399375 | − | 0.184770i | −0.0194875 | − | 0.00901587i | ||||
\(421\) | 11.5552 | − | 17.0427i | 0.563168 | − | 0.830611i | −0.434370 | − | 0.900734i | \(-0.643029\pi\) |
0.997538 | + | 0.0701236i | \(0.0223394\pi\) | |||||||
\(422\) | 22.8160 | − | 43.0355i | 1.11066 | − | 2.09493i | ||||
\(423\) | −4.90380 | − | 5.77320i | −0.238431 | − | 0.280702i | ||||
\(424\) | −0.103360 | − | 0.372269i | −0.00501960 | − | 0.0180790i | ||||
\(425\) | 1.60460 | − | 4.02723i | 0.0778344 | − | 0.195349i | ||||
\(426\) | −4.82855 | − | 9.10761i | −0.233944 | − | 0.441265i | ||||
\(427\) | 1.97476 | + | 0.214768i | 0.0955653 | + | 0.0103934i | ||||
\(428\) | −29.7152 | − | 22.5889i | −1.43634 | − | 1.09188i | ||||
\(429\) | −3.77644 | + | 13.6015i | −0.182328 | + | 0.656688i | ||||
\(430\) | −0.946094 | + | 0.437710i | −0.0456247 | + | 0.0211082i | ||||
\(431\) | −1.50071 | + | 9.15395i | −0.0722868 | + | 0.440930i | 0.925741 | + | 0.378158i | \(0.123442\pi\) |
−0.998028 | + | 0.0627722i | \(0.980006\pi\) | |||||||
\(432\) | 3.72699 | + | 0.820373i | 0.179315 | + | 0.0394702i | ||||
\(433\) | −20.3871 | − | 12.2665i | −0.979740 | − | 0.589490i | −0.0668792 | − | 0.997761i | \(-0.521304\pi\) |
−0.912861 | + | 0.408271i | \(0.866132\pi\) | |||||||
\(434\) | 6.59420 | − | 0.717162i | 0.316532 | − | 0.0344249i | ||||
\(435\) | −0.201957 | − | 0.297864i | −0.00968308 | − | 0.0142815i | ||||
\(436\) | 4.24429 | + | 25.8890i | 0.203265 | + | 1.23986i | ||||
\(437\) | −1.09982 | + | 20.2850i | −0.0526117 | + | 0.970365i | ||||
\(438\) | 15.3876 | − | 14.5759i | 0.735247 | − | 0.696463i | ||||
\(439\) | 13.0301 | + | 12.3428i | 0.621894 | + | 0.589089i | 0.932376 | − | 0.361490i | \(-0.117732\pi\) |
−0.310482 | + | 0.950579i | \(0.600490\pi\) | |||||||
\(440\) | 0.00137423 | + | 0.0253461i | 6.55137e−5 | + | 0.00120833i | ||||
\(441\) | 7.55603 | − | 1.66321i | 0.359811 | − | 0.0792003i | ||||
\(442\) | 9.03161 | + | 3.04310i | 0.429590 | + | 0.144746i | ||||
\(443\) | 36.4412 | + | 12.2785i | 1.73137 | + | 0.583367i | 0.995587 | − | 0.0938482i | \(-0.0299168\pi\) |
0.735785 | + | 0.677215i | \(0.236813\pi\) | |||||||
\(444\) | 2.81363 | − | 0.619328i | 0.133529 | − | 0.0293920i | ||||
\(445\) | 0.0128634 | + | 0.237252i | 0.000609784 | + | 0.0112468i | ||||
\(446\) | 23.2087 | + | 21.9845i | 1.09896 | + | 1.04099i | ||||
\(447\) | 2.77550 | − | 2.62909i | 0.131276 | − | 0.124352i | ||||
\(448\) | 1.80564 | − | 33.3031i | 0.0853086 | − | 1.57342i | ||||
\(449\) | −1.13581 | − | 6.92816i | −0.0536024 | − | 0.326960i | −0.999992 | − | 0.00393346i | \(-0.998748\pi\) |
0.946390 | − | 0.323027i | \(-0.104700\pi\) | |||||||
\(450\) | −5.66986 | − | 8.36242i | −0.267280 | − | 0.394208i | ||||
\(451\) | 6.42131 | − | 0.698360i | 0.302368 | − | 0.0328845i | ||||
\(452\) | 9.45056 | + | 5.68621i | 0.444517 | + | 0.267457i | ||||
\(453\) | −17.4213 | − | 3.83472i | −0.818525 | − | 0.180171i | ||||
\(454\) | 4.19084 | − | 25.5630i | 0.196686 | − | 1.19973i | ||||
\(455\) | 1.03923 | − | 0.480798i | 0.0487198 | − | 0.0225402i | ||||
\(456\) | −0.115500 | + | 0.415994i | −0.00540879 | + | 0.0194807i | ||||
\(457\) | −4.81098 | − | 3.65721i | −0.225048 | − | 0.171077i | 0.486574 | − | 0.873639i | \(-0.338246\pi\) |
−0.711623 | + | 0.702562i | \(0.752039\pi\) | |||||||
\(458\) | 14.1742 | + | 1.54153i | 0.662316 | + | 0.0720312i | ||||
\(459\) | −0.406367 | − | 0.766490i | −0.0189676 | − | 0.0357767i | ||||
\(460\) | 0.355304 | − | 0.891747i | 0.0165662 | − | 0.0415779i | ||||
\(461\) | 7.12361 | + | 25.6569i | 0.331780 | + | 1.19496i | 0.921830 | + | 0.387596i | \(0.126694\pi\) |
−0.590050 | + | 0.807367i | \(0.700892\pi\) | |||||||
\(462\) | −13.0548 | − | 15.3693i | −0.607365 | − | 0.715046i | ||||
\(463\) | 2.96937 | − | 5.60083i | 0.137998 | − | 0.260293i | −0.804875 | − | 0.593445i | \(-0.797767\pi\) |
0.942873 | + | 0.333152i | \(0.108112\pi\) | |||||||
\(464\) | 14.0388 | − | 20.7057i | 0.651736 | − | 0.961239i | ||||
\(465\) | −0.0425793 | − | 0.0196993i | −0.00197457 | − | 0.000913532i | ||||
\(466\) | 23.8098 | − | 28.0310i | 1.10297 | − | 1.29851i | ||||
\(467\) | 7.27568 | + | 18.2606i | 0.336678 | + | 0.844999i | 0.995679 | + | 0.0928571i | \(0.0296000\pi\) |
−0.659001 | + | 0.752142i | \(0.729021\pi\) | |||||||
\(468\) | 9.03159 | − | 6.86563i | 0.417485 | − | 0.317364i | ||||
\(469\) | 29.9074 | − | 17.9947i | 1.38100 | − | 0.830917i | ||||
\(470\) | 0.796773 | − | 0.268464i | 0.0367524 | − | 0.0123833i | ||||
\(471\) | 9.63180 | 0.443810 | ||||||||
\(472\) | −0.660021 | − | 1.19710i | −0.0303799 | − | 0.0551011i | ||||
\(473\) | −24.3996 | −1.12190 | ||||||||
\(474\) | −14.5221 | + | 4.89308i | −0.667024 | + | 0.224746i | ||||
\(475\) | −10.3869 | + | 6.24962i | −0.476586 | + | 0.286752i | ||||
\(476\) | −5.53599 | + | 4.20835i | −0.253742 | + | 0.192890i | ||||
\(477\) | −0.803535 | − | 2.01672i | −0.0367914 | − | 0.0923393i | ||||
\(478\) | −20.1126 | + | 23.6784i | −0.919930 | + | 1.08303i | ||||
\(479\) | 0.801610 | + | 0.370864i | 0.0366265 | + | 0.0169452i | 0.438117 | − | 0.898918i | \(-0.355646\pi\) |
−0.401490 | + | 0.915863i | \(0.631508\pi\) | |||||||
\(480\) | −0.248681 | + | 0.366776i | −0.0113507 | + | 0.0167410i | ||||
\(481\) | −3.51154 | + | 6.62346i | −0.160112 | + | 0.302004i | ||||
\(482\) | 2.43922 | + | 2.87167i | 0.111104 | + | 0.130801i | ||||
\(483\) | 8.60033 | + | 30.9756i | 0.391329 | + | 1.40944i | ||||
\(484\) | 3.28474 | − | 8.24407i | 0.149306 | − | 0.374730i | ||||
\(485\) | 0.0596467 | + | 0.112506i | 0.00270842 | + | 0.00510861i | ||||
\(486\) | −2.01003 | − | 0.218604i | −0.0911770 | − | 0.00991609i | ||||
\(487\) | 21.8461 | + | 16.6069i | 0.989940 | + | 0.752532i | 0.968952 | − | 0.247247i | \(-0.0795260\pi\) |
0.0209871 | + | 0.999780i | \(0.493319\pi\) | |||||||
\(488\) | −0.0246363 | + | 0.0887319i | −0.00111523 | + | 0.00401670i | ||||
\(489\) | −20.2833 | + | 9.38405i | −0.917243 | + | 0.424362i | ||||
\(490\) | −0.138936 | + | 0.847471i | −0.00627648 | + | 0.0382848i | ||||
\(491\) | 9.11996 | + | 2.00745i | 0.411578 | + | 0.0905951i | 0.415933 | − | 0.909395i | \(-0.363455\pi\) |
−0.00435490 | + | 0.999991i | \(0.501386\pi\) | |||||||
\(492\) | −4.44808 | − | 2.67632i | −0.200535 | − | 0.120658i | ||||
\(493\) | −5.65368 | + | 0.614875i | −0.254629 | + | 0.0276926i | ||||
\(494\) | −14.9555 | − | 22.0577i | −0.672879 | − | 0.992423i | ||||
\(495\) | 0.0230748 | + | 0.140750i | 0.00103713 | + | 0.00632624i | ||||
\(496\) | 0.176562 | − | 3.25650i | 0.00792787 | − | 0.146221i | ||||
\(497\) | −14.2093 | + | 13.4598i | −0.637374 | + | 0.603753i | ||||
\(498\) | 16.9931 | + | 16.0968i | 0.761481 | + | 0.721313i | ||||
\(499\) | −0.263763 | − | 4.86482i | −0.0118077 | − | 0.217779i | −0.998482 | − | 0.0550737i | \(-0.982461\pi\) |
0.986675 | − | 0.162706i | \(-0.0520221\pi\) | |||||||
\(500\) | 1.11915 | − | 0.246344i | 0.0500500 | − | 0.0110168i | ||||
\(501\) | 3.59608 | + | 1.21166i | 0.160661 | + | 0.0541331i | ||||
\(502\) | −21.4878 | − | 7.24008i | −0.959047 | − | 0.323141i | ||||
\(503\) | 4.75532 | − | 1.04672i | 0.212029 | − | 0.0466712i | −0.107686 | − | 0.994185i | \(-0.534344\pi\) |
0.319715 | + | 0.947514i | \(0.396413\pi\) | |||||||
\(504\) | 0.0369874 | + | 0.682193i | 0.00164755 | + | 0.0303873i | ||||
\(505\) | −0.427689 | − | 0.405129i | −0.0190319 | − | 0.0180280i | ||||
\(506\) | 31.9360 | − | 30.2514i | 1.41973 | − | 1.34484i | ||||
\(507\) | −0.894427 | + | 16.4967i | −0.0397229 | + | 0.732646i | ||||
\(508\) | −4.31845 | − | 26.3414i | −0.191600 | − | 1.16871i | ||||
\(509\) | −24.1509 | − | 35.6200i | −1.07047 | − | 1.57883i | −0.784024 | − | 0.620731i | \(-0.786836\pi\) |
−0.286447 | − | 0.958096i | \(-0.592474\pi\) | |||||||
\(510\) | 0.0957319 | − | 0.0104115i | 0.00423908 | − | 0.000461028i | ||||
\(511\) | −34.4819 | − | 20.7471i | −1.52539 | − | 0.917797i | ||||
\(512\) | −31.4104 | − | 6.91395i | −1.38816 | − | 0.305556i | ||||
\(513\) | −0.392465 | + | 2.39393i | −0.0173278 | + | 0.105695i | ||||
\(514\) | 38.4272 | − | 17.7783i | 1.69495 | − | 0.784168i | ||||
\(515\) | −0.277817 | + | 1.00061i | −0.0122421 | + | 0.0440919i | ||||
\(516\) | 15.6111 | + | 11.8673i | 0.687241 | + | 0.522427i | ||||
\(517\) | 19.5643 | + | 2.12774i | 0.860435 | + | 0.0935780i | ||||
\(518\) | −5.01639 | − | 9.46192i | −0.220408 | − | 0.415733i | ||||
\(519\) | −1.35877 | + | 3.41027i | −0.0596436 | + | 0.149694i | ||||
\(520\) | 0.0142016 | + | 0.0511494i | 0.000622780 | + | 0.00224305i | ||||
\(521\) | −6.71081 | − | 7.90058i | −0.294006 | − | 0.346131i | 0.595250 | − | 0.803541i | \(-0.297053\pi\) |
−0.889256 | + | 0.457410i | \(0.848777\pi\) | |||||||
\(522\) | −6.20829 | + | 11.7101i | −0.271730 | + | 0.512536i | ||||
\(523\) | 12.3260 | − | 18.1794i | 0.538977 | − | 0.794931i | −0.456521 | − | 0.889712i | \(-0.650905\pi\) |
0.995498 | + | 0.0947812i | \(0.0302151\pi\) | |||||||
\(524\) | 37.4338 | + | 17.3187i | 1.63530 | + | 0.756572i | ||||
\(525\) | −12.4187 | + | 14.6204i | −0.541995 | + | 0.638086i | ||||
\(526\) | −9.40056 | − | 23.5936i | −0.409884 | − | 1.02873i | ||||
\(527\) | −0.590219 | + | 0.448673i | −0.0257103 | + | 0.0195445i | ||||
\(528\) | −8.49549 | + | 5.11157i | −0.369719 | + | 0.222452i | ||||
\(529\) | −44.6599 | + | 15.0477i | −1.94173 | + | 0.654247i | ||||
\(530\) | 0.240967 | 0.0104669 | ||||||||
\(531\) | −4.41418 | − | 6.28610i | −0.191559 | − | 0.272794i | ||||
\(532\) | 19.4451 | 0.843050 | ||||||||
\(533\) | 12.8010 | − | 4.31316i | 0.554473 | − | 0.186824i | ||||
\(534\) | 7.49811 | − | 4.51147i | 0.324475 | − | 0.195230i | ||||
\(535\) | 0.781274 | − | 0.593909i | 0.0337774 | − | 0.0256769i | ||||
\(536\) | 0.598925 | + | 1.50319i | 0.0258696 | + | 0.0649278i | ||||
\(537\) | −4.62764 | + | 5.44807i | −0.199697 | + | 0.235102i | ||||
\(538\) | −25.6541 | − | 11.8689i | −1.10603 | − | 0.511703i | ||||
\(539\) | −11.2804 | + | 16.6373i | −0.485880 | + | 0.716619i | ||||
\(540\) | 0.0536932 | − | 0.101276i | 0.00231059 | − | 0.00435823i | ||||
\(541\) | 2.95011 | + | 3.47314i | 0.126835 | + | 0.149322i | 0.821914 | − | 0.569612i | \(-0.192906\pi\) |
−0.695079 | + | 0.718934i | \(0.744631\pi\) | |||||||
\(542\) | −8.57078 | − | 30.8691i | −0.368146 | − | 1.32594i | ||||
\(543\) | −7.89646 | + | 19.8186i | −0.338869 | + | 0.850498i | ||||
\(544\) | 3.28014 | + | 6.18701i | 0.140635 | + | 0.265266i | ||||
\(545\) | −0.685720 | − | 0.0745765i | −0.0293730 | − | 0.00319451i | ||||
\(546\) | −33.5729 | − | 25.5215i | −1.43679 | − | 1.09222i | ||||
\(547\) | −1.46752 | + | 5.28554i | −0.0627468 | + | 0.225994i | −0.988275 | − | 0.152686i | \(-0.951208\pi\) |
0.925528 | + | 0.378679i | \(0.123622\pi\) | |||||||
\(548\) | 0.305210 | − | 0.141205i | 0.0130379 | − | 0.00603199i | ||||
\(549\) | −0.0837133 | + | 0.510629i | −0.00357280 | + | 0.0217931i | ||||
\(550\) | 25.6353 | + | 5.64276i | 1.09309 | + | 0.240608i | ||||
\(551\) | 13.6261 | + | 8.19853i | 0.580490 | + | 0.349269i | ||||
\(552\) | −1.48160 | + | 0.161133i | −0.0630610 | + | 0.00685829i | ||||
\(553\) | 16.3281 | + | 24.0821i | 0.694341 | + | 1.02408i | ||||
\(554\) | −0.0990459 | − | 0.604153i | −0.00420806 | − | 0.0256680i | ||||
\(555\) | −0.00410087 | + | 0.0756362i | −0.000174072 | + | 0.00321058i | ||||
\(556\) | 21.0690 | − | 19.9576i | 0.893525 | − | 0.846392i | ||||
\(557\) | −9.25109 | − | 8.76309i | −0.391981 | − | 0.371304i | 0.466175 | − | 0.884692i | \(-0.345632\pi\) |
−0.858157 | + | 0.513388i | \(0.828390\pi\) | |||||||
\(558\) | 0.0935452 | + | 1.72534i | 0.00396009 | + | 0.0730395i | ||||
\(559\) | −49.8341 | + | 10.9693i | −2.10776 | + | 0.463952i | ||||
\(560\) | 0.762158 | + | 0.256801i | 0.0322070 | + | 0.0108518i | ||||
\(561\) | 2.13595 | + | 0.719685i | 0.0901799 | + | 0.0303851i | ||||
\(562\) | 0.769791 | − | 0.169444i | 0.0324717 | − | 0.00714756i | ||||
\(563\) | 0.690763 | + | 12.7404i | 0.0291122 | + | 0.536942i | 0.976321 | + | 0.216326i | \(0.0694074\pi\) |
−0.947209 | + | 0.320617i | \(0.896110\pi\) | |||||||
\(564\) | −11.4825 | − | 10.8768i | −0.483502 | − | 0.457997i | ||||
\(565\) | −0.210527 | + | 0.199422i | −0.00885694 | + | 0.00838974i | ||||
\(566\) | −2.74388 | + | 50.6079i | −0.115334 | + | 2.12721i | ||||
\(567\) | 0.621060 | + | 3.78830i | 0.0260821 | + | 0.159094i | ||||
\(568\) | −0.509195 | − | 0.751007i | −0.0213654 | − | 0.0315116i | ||||
\(569\) | 25.8048 | − | 2.80645i | 1.08180 | − | 0.117652i | 0.450183 | − | 0.892937i | \(-0.351359\pi\) |
0.631612 | + | 0.775284i | \(0.282393\pi\) | |||||||
\(570\) | −0.230726 | − | 0.138823i | −0.00966403 | − | 0.00581466i | ||||
\(571\) | −25.8605 | − | 5.69233i | −1.08223 | − | 0.238217i | −0.362158 | − | 0.932117i | \(-0.617960\pi\) |
−0.720071 | + | 0.693900i | \(0.755891\pi\) | |||||||
\(572\) | −4.76846 | + | 29.0863i | −0.199379 | + | 1.21616i | ||||
\(573\) | −22.5258 | + | 10.4216i | −0.941030 | + | 0.435367i | ||||
\(574\) | −5.16249 | + | 18.5936i | −0.215478 | + | 0.776082i | ||||
\(575\) | −33.3130 | − | 25.3239i | −1.38925 | − | 1.05608i | ||||
\(576\) | 8.63706 | + | 0.939337i | 0.359877 | + | 0.0391390i | ||||
\(577\) | 20.4783 | + | 38.6261i | 0.852521 | + | 1.60802i | 0.792536 | + | 0.609826i | \(0.208761\pi\) |
0.0599852 | + | 0.998199i | \(0.480895\pi\) | |||||||
\(578\) | −12.1591 | + | 30.5172i | −0.505754 | + | 1.26935i | ||||
\(579\) | 5.16092 | + | 18.5879i | 0.214480 | + | 0.772489i | ||||
\(580\) | −0.486462 | − | 0.572707i | −0.0201992 | − | 0.0237804i | ||||
\(581\) | 20.8167 | − | 39.2644i | 0.863621 | − | 1.62896i | ||||
\(582\) | 2.63188 | − | 3.88173i | 0.109095 | − | 0.160903i | ||||
\(583\) | 5.11884 | + | 2.36823i | 0.212001 | + | 0.0980820i | ||||
\(584\) | 1.20777 | − | 1.42190i | 0.0499779 | − | 0.0588386i | ||||
\(585\) | 0.110405 | + | 0.277096i | 0.00456469 | + | 0.0114565i | ||||
\(586\) | −16.8583 | + | 12.8154i | −0.696410 | + | 0.529397i | ||||
\(587\) | −39.2077 | + | 23.5905i | −1.61827 | + | 0.973684i | −0.639488 | + | 0.768801i | \(0.720854\pi\) |
−0.978787 | + | 0.204883i | \(0.934319\pi\) | |||||||
\(588\) | 15.3092 | − | 5.15826i | 0.631340 | − | 0.212723i | ||||
\(589\) | 2.07313 | 0.0854219 | ||||||||
\(590\) | 0.829545 | − | 0.196904i | 0.0341518 | − | 0.00810643i | ||||
\(591\) | 9.69377 | 0.398748 | ||||||||
\(592\) | −4.98987 | + | 1.68128i | −0.205082 | + | 0.0691002i | ||||
\(593\) | 34.5266 | − | 20.7740i | 1.41784 | − | 0.853085i | 0.419337 | − | 0.907830i | \(-0.362262\pi\) |
0.998500 | + | 0.0547459i | \(0.0174349\pi\) | |||||||
\(594\) | 4.18185 | − | 3.17896i | 0.171583 | − | 0.130434i | ||||
\(595\) | −0.0676738 | − | 0.169848i | −0.00277436 | − | 0.00696311i | ||||
\(596\) | 5.16779 | − | 6.08399i | 0.211681 | − | 0.249210i | ||||
\(597\) | −8.68137 | − | 4.01643i | −0.355305 | − | 0.164382i | ||||
\(598\) | 51.6264 | − | 76.1432i | 2.11116 | − | 3.11373i | ||||
\(599\) | −3.08983 | + | 5.82803i | −0.126247 | + | 0.238127i | −0.938576 | − | 0.345072i | \(-0.887854\pi\) |
0.812329 | + | 0.583199i | \(0.198199\pi\) | |||||||
\(600\) | −0.575722 | − | 0.677793i | −0.0235038 | − | 0.0276708i | ||||
\(601\) | −0.216993 | − | 0.781540i | −0.00885135 | − | 0.0318797i | 0.958992 | − | 0.283432i | \(-0.0914729\pi\) |
−0.967844 | + | 0.251552i | \(0.919059\pi\) | |||||||
\(602\) | 26.9811 | − | 67.7173i | 1.09967 | − | 2.75995i | ||||
\(603\) | 4.25884 | + | 8.03303i | 0.173433 | + | 0.327130i | ||||
\(604\) | −37.0286 | − | 4.02710i | −1.50667 | − | 0.163860i | ||||
\(605\) | 0.185749 | + | 0.141202i | 0.00755175 | + | 0.00574069i | ||||
\(606\) | −5.80445 | + | 20.9057i | −0.235789 | + | 0.849237i | ||||
\(607\) | 3.09743 | − | 1.43302i | 0.125721 | − | 0.0581646i | −0.356020 | − | 0.934478i | \(-0.615867\pi\) |
0.481741 | + | 0.876314i | \(0.340005\pi\) | |||||||
\(608\) | 3.16793 | − | 19.3235i | 0.128477 | − | 0.783673i | ||||
\(609\) | 24.5765 | + | 5.40970i | 0.995890 | + | 0.219212i | ||||
\(610\) | −0.0492140 | − | 0.0296111i | −0.00199262 | − | 0.00119892i | ||||
\(611\) | 40.9149 | − | 4.44976i | 1.65524 | − | 0.180018i | ||||
\(612\) | −1.01657 | − | 1.49932i | −0.0410923 | − | 0.0606066i | ||||
\(613\) | 0.780810 | + | 4.76273i | 0.0315366 | + | 0.192365i | 0.997896 | − | 0.0648293i | \(-0.0206503\pi\) |
−0.966360 | + | 0.257194i | \(0.917202\pi\) | |||||||
\(614\) | −2.08815 | + | 38.5137i | −0.0842709 | + | 1.55429i | ||||
\(615\) | 0.0990884 | − | 0.0938616i | 0.00399563 | − | 0.00378486i | ||||
\(616\) | −1.28862 | − | 1.22065i | −0.0519202 | − | 0.0491814i | ||||
\(617\) | 0.353143 | + | 6.51333i | 0.0142170 | + | 0.262217i | 0.996997 | + | 0.0774382i | \(0.0246741\pi\) |
−0.982780 | + | 0.184779i | \(0.940843\pi\) | |||||||
\(618\) | 37.3518 | − | 8.22175i | 1.50251 | − | 0.330727i | ||||
\(619\) | 14.1915 | + | 4.78168i | 0.570405 | + | 0.192192i | 0.589700 | − | 0.807622i | \(-0.299246\pi\) |
−0.0192956 | + | 0.999814i | \(0.506142\pi\) | |||||||
\(620\) | −0.0928324 | − | 0.0312789i | −0.00372824 | − | 0.00125619i | ||||
\(621\) | −8.17839 | + | 1.80020i | −0.328188 | + | 0.0722396i | ||||
\(622\) | −2.21329 | − | 40.8218i | −0.0887449 | − | 1.63680i | ||||
\(623\) | −12.0621 | − | 11.4259i | −0.483259 | − | 0.457768i | ||||
\(624\) | −15.0533 | + | 14.2592i | −0.602614 | + | 0.570826i | ||||
\(625\) | 1.35103 | − | 24.9182i | 0.0540410 | − | 0.996728i | ||||
\(626\) | −8.12895 | − | 49.5844i | −0.324898 | − | 1.98179i | ||||
\(627\) | −3.53693 | − | 5.21658i | −0.141251 | − | 0.208330i | ||||
\(628\) | 19.9935 | − | 2.17442i | 0.797828 | − | 0.0867690i | ||||
\(629\) | 1.02567 | + | 0.617127i | 0.0408963 | + | 0.0246065i | ||||
\(630\) | −0.416146 | − | 0.0916006i | −0.0165796 | − | 0.00364945i | ||||
\(631\) | −2.77696 | + | 16.9387i | −0.110549 | + | 0.674320i | 0.872168 | + | 0.489207i | \(0.162714\pi\) |
−0.982717 | + | 0.185114i | \(0.940735\pi\) | |||||||
\(632\) | −1.22419 | + | 0.566370i | −0.0486956 | + | 0.0225290i | ||||
\(633\) | 6.44507 | − | 23.2130i | 0.256168 | − | 0.922635i | ||||
\(634\) | 25.4135 | + | 19.3188i | 1.00930 | + | 0.767249i | ||||
\(635\) | 0.697701 | + | 0.0758795i | 0.0276874 | + | 0.00301119i | ||||
\(636\) | −2.12325 | − | 4.00487i | −0.0841922 | − | 0.158803i | ||||
\(637\) | −15.5595 | + | 39.0515i | −0.616491 | + | 1.54728i | ||||
\(638\) | −9.21224 | − | 33.1795i | −0.364716 | − | 1.31359i | ||||
\(639\) | −3.30065 | − | 3.88582i | −0.130572 | − | 0.153721i | ||||
\(640\) | −0.0365759 | + | 0.0689895i | −0.00144579 | + | 0.00272705i | ||||
\(641\) | 16.6058 | − | 24.4917i | 0.655890 | − | 0.967365i | −0.343710 | − | 0.939076i | \(-0.611684\pi\) |
0.999600 | − | 0.0282892i | \(-0.00900592\pi\) | |||||||
\(642\) | −32.8034 | − | 15.1765i | −1.29465 | − | 0.598968i | ||||
\(643\) | 15.3137 | − | 18.0287i | 0.603915 | − | 0.710983i | −0.372221 | − | 0.928144i | \(-0.621404\pi\) |
0.976136 | + | 0.217161i | \(0.0696796\pi\) | |||||||
\(644\) | 24.8453 | + | 62.3570i | 0.979041 | + | 2.45721i | ||||
\(645\) | −0.410449 | + | 0.312015i | −0.0161614 | + | 0.0122856i | ||||
\(646\) | −3.64611 | + | 2.19379i | −0.143454 | + | 0.0863136i | ||||
\(647\) | −29.2581 | + | 9.85821i | −1.15026 | + | 0.387566i | −0.828902 | − | 0.559393i | \(-0.811034\pi\) |
−0.321353 | + | 0.946959i | \(0.604138\pi\) | |||||||
\(648\) | −0.177968 | −0.00699123 | ||||||||
\(649\) | 19.5571 | + | 3.96996i | 0.767685 | + | 0.155835i | ||||
\(650\) | 54.8947 | 2.15315 | ||||||||
\(651\) | 3.10891 | − | 1.04751i | 0.121848 | − | 0.0410553i | ||||
\(652\) | −39.9852 | + | 24.0583i | −1.56594 | + | 0.942195i | ||||
\(653\) | 1.76866 | − | 1.34450i | 0.0692129 | − | 0.0526143i | −0.569996 | − | 0.821648i | \(-0.693055\pi\) |
0.639209 | + | 0.769033i | \(0.279262\pi\) | |||||||
\(654\) | 9.40288 | + | 23.5994i | 0.367682 | + | 0.922811i | ||||
\(655\) | −0.702053 | + | 0.826520i | −0.0274315 | + | 0.0322948i | ||||
\(656\) | 8.61082 | + | 3.98379i | 0.336196 | + | 0.155541i | ||||
\(657\) | 5.88285 | − | 8.67655i | 0.229512 | − | 0.338504i | ||||
\(658\) | −27.5393 | + | 51.9447i | −1.07360 | + | 2.02502i | ||||
\(659\) | −1.59708 | − | 1.88023i | −0.0622135 | − | 0.0732434i | 0.730175 | − | 0.683260i | \(-0.239439\pi\) |
−0.792388 | + | 0.610017i | \(0.791163\pi\) | |||||||
\(660\) | 0.0796732 | + | 0.286957i | 0.00310127 | + | 0.0111698i | ||||
\(661\) | −0.498056 | + | 1.25003i | −0.0193722 | + | 0.0486204i | −0.938345 | − | 0.345701i | \(-0.887641\pi\) |
0.918973 | + | 0.394322i | \(0.129020\pi\) | |||||||
\(662\) | 10.1276 | + | 19.1026i | 0.393619 | + | 0.742445i | ||||
\(663\) | 4.68604 | + | 0.509637i | 0.181991 | + | 0.0197927i | ||||
\(664\) | 1.64017 | + | 1.24682i | 0.0636509 | + | 0.0483861i | ||||
\(665\) | −0.136774 | + | 0.492616i | −0.00530387 | + | 0.0191028i | ||||
\(666\) | 2.53190 | − | 1.17138i | 0.0981091 | − | 0.0453901i | ||||
\(667\) | −8.88103 | + | 54.1719i | −0.343875 | + | 2.09754i | ||||
\(668\) | 7.73822 | + | 1.70331i | 0.299401 | + | 0.0659031i | ||||
\(669\) | 13.5478 | + | 8.15144i | 0.523788 | + | 0.315153i | ||||
\(670\) | −1.00330 | + | 0.109115i | −0.0387608 | + | 0.00421549i | ||||
\(671\) | −0.754431 | − | 1.11270i | −0.0291245 | − | 0.0429554i | ||||
\(672\) | −5.01312 | − | 30.5787i | −0.193385 | − | 1.17960i | ||||
\(673\) | 0.145785 | − | 2.68885i | 0.00561960 | − | 0.103647i | −0.994378 | − | 0.105890i | \(-0.966231\pi\) |
0.999997 | + | 0.00224227i | \(0.000713736\pi\) | |||||||
\(674\) | −18.5044 | + | 17.5283i | −0.712765 | + | 0.675167i | ||||
\(675\) | −3.62779 | − | 3.43642i | −0.139634 | − | 0.132268i | ||||
\(676\) | 1.86758 | + | 34.4455i | 0.0718301 | + | 1.32483i | ||||
\(677\) | 10.7409 | − | 2.36426i | 0.412808 | − | 0.0908659i | −0.00371058 | − | 0.999993i | \(-0.501181\pi\) |
0.416519 | + | 0.909127i | \(0.363250\pi\) | |||||||
\(678\) | 10.1209 | + | 3.41014i | 0.388692 | + | 0.130965i | ||||
\(679\) | −8.43829 | − | 2.84319i | −0.323832 | − | 0.109112i | ||||
\(680\) | 0.00827791 | − | 0.00182211i | 0.000317443 | − | 6.98746e-5i | ||||
\(681\) | −0.693624 | − | 12.7931i | −0.0265797 | − | 0.490234i | ||||
\(682\) | −3.25907 | − | 3.08716i | −0.124796 | − | 0.118213i | ||||
\(683\) | 3.01998 | − | 2.86067i | 0.115556 | − | 0.109461i | −0.627740 | − | 0.778423i | \(-0.716020\pi\) |
0.743296 | + | 0.668962i | \(0.233261\pi\) | |||||||
\(684\) | −0.274230 | + | 5.05788i | −0.0104855 | + | 0.193393i | ||||
\(685\) | 0.00143045 | + | 0.00872533i | 5.46545e−5 | + | 0.000333378i | ||||
\(686\) | −3.20983 | − | 4.73414i | −0.122552 | − | 0.180750i | ||||
\(687\) | 7.01038 | − | 0.762424i | 0.267463 | − | 0.0290883i | ||||
\(688\) | −30.7097 | − | 18.4774i | −1.17080 | − | 0.704446i | ||||
\(689\) | 11.5195 | + | 2.53563i | 0.438857 | + | 0.0965997i | ||||
\(690\) | 0.150379 | − | 0.917274i | 0.00572485 | − | 0.0349200i | ||||
\(691\) | −9.67050 | + | 4.47405i | −0.367883 | + | 0.170201i | −0.595116 | − | 0.803639i | \(-0.702894\pi\) |
0.227233 | + | 0.973840i | \(0.427032\pi\) | |||||||
\(692\) | −2.05063 | + | 7.38571i | −0.0779534 | + | 0.280763i | ||||
\(693\) | −7.93990 | − | 6.03575i | −0.301612 | − | 0.229279i | ||||
\(694\) | −22.0811 | − | 2.40146i | −0.838187 | − | 0.0911584i | ||||
\(695\) | 0.357404 | + | 0.674136i | 0.0135571 | + | 0.0255714i | ||||
\(696\) | −0.431813 | + | 1.08377i | −0.0163678 | + | 0.0410802i | ||||
\(697\) | −0.577023 | − | 2.07825i | −0.0218563 | − | 0.0787193i | ||||
\(698\) | −39.0627 | − | 45.9882i | −1.47855 | − | 1.74068i | ||||
\(699\) | 8.52040 | − | 16.0712i | 0.322271 | − | 0.607868i | ||||
\(700\) | −22.4778 | + | 33.1523i | −0.849581 | + | 1.25304i | ||||
\(701\) | −44.0008 | − | 20.3569i | −1.66189 | − | 0.768870i | −0.999811 | − | 0.0194329i | \(-0.993814\pi\) |
−0.662075 | − | 0.749438i | \(-0.730324\pi\) | |||||||
\(702\) | 7.11190 | − | 8.37277i | 0.268421 | − | 0.316010i | ||||
\(703\) | −1.23892 | − | 3.10945i | −0.0467266 | − | 0.117275i | ||||
\(704\) | −17.9693 | + | 13.6599i | −0.677243 | + | 0.514827i | ||||
\(705\) | 0.356318 | − | 0.214389i | 0.0134197 | − | 0.00807436i | ||||
\(706\) | −36.7249 | + | 12.3741i | −1.38216 | + | 0.465704i | ||||
\(707\) | 41.1943 | 1.54927 | ||||||||
\(708\) | −10.5820 | − | 12.0520i | −0.397695 | − | 0.452944i | ||||
\(709\) | 28.9991 | 1.08909 | 0.544543 | − | 0.838733i | \(-0.316703\pi\) | ||||
0.544543 | + | 0.838733i | \(0.316703\pi\) | |||||||
\(710\) | 0.536292 | − | 0.180698i | 0.0201267 | − | 0.00678147i | ||||
\(711\) | −6.49431 | + | 3.90750i | −0.243556 | + | 0.146543i | ||||
\(712\) | 0.613186 | − | 0.466132i | 0.0229801 | − | 0.0174690i | ||||
\(713\) | 2.64888 | + | 6.64818i | 0.0992012 | + | 0.248976i | ||||
\(714\) | −4.35930 | + | 5.13217i | −0.163143 | + | 0.192067i | ||||
\(715\) | −0.703324 | − | 0.325392i | −0.0263028 | − | 0.0121690i | ||||
\(716\) | −8.37603 | + | 12.3537i | −0.313027 | + | 0.461680i | ||||
\(717\) | −7.19736 | + | 13.5757i | −0.268790 | + | 0.506993i | ||||
\(718\) | 43.9637 | + | 51.7580i | 1.64071 | + | 1.93159i | ||||
\(719\) | 1.15819 | + | 4.17141i | 0.0431931 | + | 0.155567i | 0.982002 | − | 0.188872i | \(-0.0604830\pi\) |
−0.938809 | + | 0.344439i | \(0.888069\pi\) | |||||||
\(720\) | −0.0775454 | + | 0.194624i | −0.00288995 | + | 0.00725322i | ||||
\(721\) | −34.0139 | − | 64.1571i | −1.26674 | − | 2.38933i | ||||
\(722\) | −26.3617 | − | 2.86701i | −0.981081 | − | 0.106699i | ||||
\(723\) | 1.48353 | + | 1.12775i | 0.0551729 | + | 0.0419414i | ||||
\(724\) | −11.9172 | + | 42.9218i | −0.442898 | + | 1.59517i | ||||
\(725\) | −29.7291 | + | 13.7541i | −1.10411 | + | 0.510816i | ||||
\(726\) | 1.39024 | − | 8.48006i | 0.0515965 | − | 0.314725i | ||||
\(727\) | −17.2171 | − | 3.78978i | −0.638549 | − | 0.140555i | −0.116116 | − | 0.993236i | \(-0.537044\pi\) |
−0.522433 | + | 0.852680i | \(0.674975\pi\) | |||||||
\(728\) | −3.18067 | − | 1.91374i | −0.117883 | − | 0.0709281i | ||||
\(729\) | −0.994138 | + | 0.108119i | −0.0368199 | + | 0.00400441i | ||||
\(730\) | 0.652986 | + | 0.963082i | 0.0241681 | + | 0.0356453i | ||||
\(731\) | 1.31813 | + | 8.04026i | 0.0487529 | + | 0.297380i | ||||
\(732\) | −0.0584936 | + | 1.07885i | −0.00216199 | + | 0.0398755i | ||||
\(733\) | −4.20783 | + | 3.98586i | −0.155420 | + | 0.147221i | −0.761458 | − | 0.648214i | \(-0.775516\pi\) |
0.606039 | + | 0.795435i | \(0.292758\pi\) | |||||||
\(734\) | −45.7971 | − | 43.3814i | −1.69040 | − | 1.60124i | ||||
\(735\) | 0.0229952 | + | 0.424121i | 0.000848190 | + | 0.0156439i | ||||
\(736\) | 66.0150 | − | 14.5310i | 2.43334 | − | 0.535620i | ||||
\(737\) | −22.3854 | − | 7.54251i | −0.824575 | − | 0.277832i | ||||
\(738\) | −4.76360 | − | 1.60504i | −0.175351 | − | 0.0590825i | ||||
\(739\) | 27.1780 | − | 5.98234i | 0.999760 | − | 0.220064i | 0.315204 | − | 0.949024i | \(-0.397927\pi\) |
0.684556 | + | 0.728960i | \(0.259996\pi\) | |||||||
\(740\) | 0.00856271 | + | 0.157930i | 0.000314771 | + | 0.00580562i | ||||
\(741\) | −9.56909 | − | 9.06432i | −0.351529 | − | 0.332986i | ||||
\(742\) | −12.2331 | + | 11.5878i | −0.449089 | + | 0.425400i | ||||
\(743\) | −0.456334 | + | 8.41658i | −0.0167413 | + | 0.308775i | 0.978155 | + | 0.207875i | \(0.0666548\pi\) |
−0.994897 | + | 0.100899i | \(0.967828\pi\) | |||||||
\(744\) | 0.0246052 | + | 0.150085i | 0.000902071 | + | 0.00550239i | ||||
\(745\) | 0.117781 | + | 0.173714i | 0.00431515 | + | 0.00636437i | ||||
\(746\) | −23.2225 | + | 2.52560i | −0.850236 | + | 0.0924688i | ||||
\(747\) | 9.91954 | + | 5.96839i | 0.362937 | + | 0.218372i | ||||
\(748\) | 4.59624 | + | 1.01171i | 0.168055 | + | 0.0369917i | ||||
\(749\) | −11.1023 | + | 67.7211i | −0.405670 | + | 2.47448i | ||||
\(750\) | 1.00709 | − | 0.465929i | 0.0367737 | − | 0.0170133i | ||||
\(751\) | −8.12010 | + | 29.2460i | −0.296307 | + | 1.06720i | 0.654155 | + | 0.756360i | \(0.273024\pi\) |
−0.950462 | + | 0.310840i | \(0.899390\pi\) | |||||||
\(752\) | 23.0126 | + | 17.4937i | 0.839182 | + | 0.637930i | ||||
\(753\) | −11.1489 | − | 1.21252i | −0.406289 | − | 0.0441866i | ||||
\(754\) | −33.7316 | − | 63.6246i | −1.22843 | − | 2.31707i | ||||
\(755\) | 0.362476 | − | 0.909746i | 0.0131918 | − | 0.0331090i | ||||
\(756\) | 2.14441 | + | 7.72347i | 0.0779914 | + | 0.280900i | ||||
\(757\) | 5.40399 | + | 6.36206i | 0.196411 | + | 0.231233i | 0.851547 | − | 0.524278i | \(-0.175665\pi\) |
−0.655136 | + | 0.755511i | \(0.727389\pi\) | |||||||
\(758\) | −11.4355 | + | 21.5696i | −0.415355 | + | 0.783443i | ||||
\(759\) | 12.2095 | − | 18.0077i | 0.443176 | − | 0.653636i | ||||
\(760\) | −0.0215107 | − | 0.00995192i | −0.000780276 | − | 0.000360994i | ||||
\(761\) | 10.6525 | − | 12.5411i | 0.386152 | − | 0.454613i | −0.534401 | − | 0.845231i | \(-0.679463\pi\) |
0.920553 | + | 0.390618i | \(0.127739\pi\) | |||||||
\(762\) | −9.56717 | − | 24.0118i | −0.346582 | − | 0.869855i | ||||
\(763\) | 38.3979 | − | 29.1893i | 1.39010 | − | 1.05672i | ||||
\(764\) | −44.4060 | + | 26.7182i | −1.60655 | + | 0.966630i | ||||
\(765\) | 0.0451339 | − | 0.0152074i | 0.00163182 | − | 0.000549824i | ||||
\(766\) | 33.8643 | 1.22357 | ||||||||
\(767\) | 41.7285 | − | 0.683983i | 1.50673 | − | 0.0246972i | ||||
\(768\) | −14.5001 | −0.523228 | ||||||||
\(769\) | −12.8432 | + | 4.32739i | −0.463139 | + | 0.156050i | −0.541191 | − | 0.840900i | \(-0.682026\pi\) |
0.0780523 | + | 0.996949i | \(0.475130\pi\) | |||||||
\(770\) | 0.948584 | − | 0.570744i | 0.0341846 | − | 0.0205682i | ||||
\(771\) | 16.6711 | − | 12.6730i | 0.600394 | − | 0.456408i | ||||
\(772\) | 14.9093 | + | 37.4194i | 0.536596 | + | 1.34675i | ||||
\(773\) | −24.0128 | + | 28.2700i | −0.863680 | + | 1.01680i | 0.135980 | + | 0.990712i | \(0.456582\pi\) |
−0.999660 | + | 0.0260906i | \(0.991694\pi\) | |||||||
\(774\) | 17.2335 | + | 7.97309i | 0.619447 | + | 0.286587i | ||||
\(775\) | −2.39647 | + | 3.53452i | −0.0860836 | + | 0.126964i | ||||
\(776\) | 0.193361 | − | 0.364717i | 0.00694124 | − | 0.0130926i | ||||
\(777\) | −3.42905 | − | 4.03699i | −0.123016 | − | 0.144826i | ||||
\(778\) | −18.5987 | − | 66.9864i | −0.666795 | − | 2.40158i | ||||
\(779\) | −2.23236 | + | 5.60280i | −0.0799826 | + | 0.200741i | ||||
\(780\) | 0.291732 | + | 0.550266i | 0.0104457 | + | 0.0197027i | ||||
\(781\) | 13.1683 | + | 1.43214i | 0.471199 | + | 0.0512460i | ||||
\(782\) | −11.6938 | − | 8.88941i | −0.418170 | − | 0.317885i | ||||
\(783\) | −1.75372 | + | 6.31633i | −0.0626729 | + | 0.225727i | ||||
\(784\) | −26.7968 | + | 12.3975i | −0.957028 | + | 0.442768i | ||||
\(785\) | −0.0855455 | + | 0.521805i | −0.00305325 | + | 0.0186240i | ||||
\(786\) | 39.0058 | + | 8.58582i | 1.39129 | + | 0.306246i | ||||
\(787\) | 13.0078 | + | 7.82656i | 0.463680 | + | 0.278987i | 0.728164 | − | 0.685403i | \(-0.240374\pi\) |
−0.264484 | + | 0.964390i | \(0.585202\pi\) | |||||||
\(788\) | 20.1221 | − | 2.18841i | 0.716822 | − | 0.0779590i | ||||
\(789\) | −7.04922 | − | 10.3968i | −0.250959 | − | 0.370137i | ||||
\(790\) | −0.136104 | − | 0.830198i | −0.00484236 | − | 0.0295371i | ||||
\(791\) | 1.09781 | − | 20.2479i | 0.0390336 | − | 0.719932i | ||||
\(792\) | 0.335678 | − | 0.317971i | 0.0119278 | − | 0.0112986i | ||||
\(793\) | −2.04110 | − | 1.93343i | −0.0724815 | − | 0.0686581i | ||||
\(794\) | 0.882241 | + | 16.2720i | 0.0313095 | + | 0.577471i | ||||
\(795\) | 0.116393 | − | 0.0256200i | 0.00412803 | − | 0.000908649i | ||||
\(796\) | −18.9274 | − | 6.37737i | −0.670862 | − | 0.226040i | ||||
\(797\) | 0.274616 | + | 0.0925290i | 0.00972741 | + | 0.00327754i | 0.324161 | − | 0.946002i | \(-0.394918\pi\) |
−0.314434 | + | 0.949279i | \(0.601815\pi\) | |||||||
\(798\) | 18.3889 | − | 4.04771i | 0.650962 | − | 0.143287i | ||||
\(799\) | −0.355772 | − | 6.56184i | −0.0125863 | − | 0.232141i | ||||
\(800\) | 29.2831 | + | 27.7384i | 1.03531 | + | 0.980700i | ||||
\(801\) | 3.14211 | − | 2.97636i | 0.111021 | − | 0.105165i | ||||
\(802\) | 1.83929 | − | 33.9237i | 0.0649475 | − | 1.19789i | ||||
\(803\) | 4.40614 | + | 26.8762i | 0.155489 | + | 0.948442i | ||||
\(804\) | 10.6539 | + | 15.7134i | 0.375735 | + | 0.554167i | ||||
\(805\) | −1.75449 | + | 0.190813i | −0.0618378 | + | 0.00672526i | ||||
\(806\) | −8.04426 | − | 4.84007i | −0.283347 | − | 0.170484i | ||||
\(807\) | −13.6535 | − | 3.00536i | −0.480626 | − | 0.105794i | ||||
\(808\) | −0.308963 | + | 1.88459i | −0.0108693 | + | 0.0662996i | ||||
\(809\) | −1.98045 | + | 0.916253i | −0.0696289 | + | 0.0322137i | −0.454394 | − | 0.890801i | \(-0.650144\pi\) |
0.384766 | + | 0.923014i | \(0.374282\pi\) | |||||||
\(810\) | 0.0296952 | − | 0.106952i | 0.00104338 | − | 0.00375792i | ||||
\(811\) | 25.2660 | + | 19.2067i | 0.887208 | + | 0.674438i | 0.946117 | − | 0.323825i | \(-0.104969\pi\) |
−0.0589089 | + | 0.998263i | \(0.518762\pi\) | |||||||
\(812\) | 52.2367 | + | 5.68108i | 1.83315 | + | 0.199367i | ||||
\(813\) | −7.42196 | − | 13.9993i | −0.260299 | − | 0.490977i | ||||
\(814\) | −2.68272 | + | 6.73312i | −0.0940293 | + | 0.235996i | ||||
\(815\) | −0.328235 | − | 1.18220i | −0.0114976 | − | 0.0414106i | ||||
\(816\) | 2.14333 | + | 2.52333i | 0.0750317 | + | 0.0883341i | ||||
\(817\) | 10.6716 | − | 20.1288i | 0.373353 | − | 0.704219i | ||||
\(818\) | 24.5193 | − | 36.1632i | 0.857297 | − | 1.26442i | ||||
\(819\) | −18.9300 | − | 8.75796i | −0.661469 | − | 0.306028i | ||||
\(820\) | 0.184496 | − | 0.217206i | 0.00644289 | − | 0.00758515i | ||||
\(821\) | 2.17789 | + | 5.46610i | 0.0760090 | + | 0.190768i | 0.962071 | − | 0.272798i | \(-0.0879490\pi\) |
−0.886062 | + | 0.463566i | \(0.846570\pi\) | |||||||
\(822\) | 0.259240 | − | 0.197069i | 0.00904203 | − | 0.00687357i | ||||
\(823\) | 14.5089 | − | 8.72970i | 0.505747 | − | 0.304298i | −0.239718 | − | 0.970843i | \(-0.577055\pi\) |
0.745465 | + | 0.666545i | \(0.232227\pi\) | |||||||
\(824\) | 3.19021 | − | 1.07491i | 0.111136 | − | 0.0374462i | ||||
\(825\) | 12.9824 | 0.451990 | ||||||||
\(826\) | −32.6443 | + | 49.8878i | −1.13584 | + | 1.73582i | ||||
\(827\) | −33.0130 | −1.14798 | −0.573988 | − | 0.818864i | \(-0.694604\pi\) | ||||
−0.573988 | + | 0.818864i | \(0.694604\pi\) | |||||||
\(828\) | −16.5701 | + | 5.58313i | −0.575852 | + | 0.194027i | ||||
\(829\) | 16.4356 | − | 9.88899i | 0.570833 | − | 0.343459i | −0.200695 | − | 0.979654i | \(-0.564320\pi\) |
0.771528 | + | 0.636195i | \(0.219493\pi\) | |||||||
\(830\) | −1.02297 | + | 0.777643i | −0.0355079 | + | 0.0269924i | ||||
\(831\) | −0.112076 | − | 0.281290i | −0.00388788 | − | 0.00975785i | ||||
\(832\) | −30.5596 | + | 35.9776i | −1.05946 | + | 1.24730i | ||||
\(833\) | 6.09178 | + | 2.81836i | 0.211068 | + | 0.0976503i | ||||
\(834\) | 15.7703 | − | 23.2594i | 0.546080 | − | 0.805408i | ||||
\(835\) | −0.0975809 | + | 0.184057i | −0.00337693 | + | 0.00636956i | ||||
\(836\) | −8.51956 | − | 10.0300i | −0.294655 | − | 0.346895i | ||||
\(837\) | 0.228626 | + | 0.823436i | 0.00790247 | + | 0.0284621i | ||||
\(838\) | 4.84247 | − | 12.1537i | 0.167280 | − | 0.419842i | ||||
\(839\) | −22.8497 | − | 43.0992i | −0.788860 | − | 1.48795i | −0.870976 | − | 0.491325i | \(-0.836513\pi\) |
0.0821161 | − | 0.996623i | \(-0.473832\pi\) | |||||||
\(840\) | −0.0372864 | − | 0.00405515i | −0.00128650 | − | 0.000139916i | ||||
\(841\) | 11.1227 | + | 8.45526i | 0.383542 | + | 0.291561i | ||||
\(842\) | 11.1378 | − | 40.1146i | 0.383832 | − | 1.38244i | ||||
\(843\) | 0.353812 | − | 0.163691i | 0.0121859 | − | 0.00563782i | ||||
\(844\) | 8.13809 | − | 49.6402i | 0.280125 | − | 1.70868i | ||||
\(845\) | −0.885771 | − | 0.194973i | −0.0304714 | − | 0.00670727i | ||||
\(846\) | −13.1230 | − | 7.89586i | −0.451179 | − | 0.271465i | ||||
\(847\) | −16.2200 | + | 1.76403i | −0.557327 | + | 0.0606129i | ||||
\(848\) | 4.64923 | + | 6.85710i | 0.159655 | + | 0.235474i | ||||
\(849\) | 4.05536 | + | 24.7366i | 0.139180 | + | 0.848958i | ||||
\(850\) | 0.474535 | − | 8.75228i | 0.0162764 | − | 0.300201i | ||||
\(851\) | 8.38848 | − | 7.94599i | 0.287553 | − | 0.272385i | ||||
\(852\) | −7.72866 | − | 7.32098i | −0.264780 | − | 0.250812i | ||||
\(853\) | −0.0544446 | − | 1.00417i | −0.00186415 | − | 0.0343822i | 0.997453 | − | 0.0713220i | \(-0.0227218\pi\) |
−0.999317 | + | 0.0369398i | \(0.988239\pi\) | |||||||
\(854\) | 3.92238 | − | 0.863382i | 0.134221 | − | 0.0295443i | ||||
\(855\) | −0.126206 | − | 0.0425238i | −0.00431616 | − | 0.00145428i | ||||
\(856\) | −3.01489 | − | 1.01583i | −0.103047 | − | 0.0347205i | ||||
\(857\) | −16.6287 | + | 3.66025i | −0.568025 | + | 0.125032i | −0.489692 | − | 0.871895i | \(-0.662891\pi\) |
−0.0783331 | + | 0.996927i | \(0.524960\pi\) | |||||||
\(858\) | 1.54518 | + | 28.4992i | 0.0527516 | + | 0.972946i | ||||
\(859\) | 3.18270 | + | 3.01481i | 0.108592 | + | 0.102864i | 0.740070 | − | 0.672530i | \(-0.234793\pi\) |
−0.631477 | + | 0.775394i | \(0.717551\pi\) | |||||||
\(860\) | −0.781563 | + | 0.740335i | −0.0266511 | + | 0.0252452i | ||||
\(861\) | −0.516704 | + | 9.53005i | −0.0176092 | + | 0.324783i | ||||
\(862\) | 3.03427 | + | 18.5082i | 0.103348 | + | 0.630393i | ||||
\(863\) | 21.6804 | + | 31.9763i | 0.738011 | + | 1.08848i | 0.992599 | + | 0.121435i | \(0.0387497\pi\) |
−0.254588 | + | 0.967050i | \(0.581940\pi\) | |||||||
\(864\) | 8.02456 | − | 0.872723i | 0.273001 | − | 0.0296907i | ||||
\(865\) | −0.172684 | − | 0.103900i | −0.00587143 | − | 0.00353272i | ||||
\(866\) | −46.9817 | − | 10.3415i | −1.59650 | − | 0.351417i | ||||
\(867\) | −2.62853 | + | 16.0333i | −0.0892696 | + | 0.544520i | ||||
\(868\) | 6.21694 | − | 2.87626i | 0.211017 | − | 0.0976267i | ||||
\(869\) | 5.26795 | − | 18.9735i | 0.178703 | − | 0.643631i | ||||
\(870\) | −0.579257 | − | 0.440339i | −0.0196386 | − | 0.0149289i | ||||
\(871\) | −49.1110 | − | 5.34114i | −1.66406 | − | 0.180978i | ||||
\(872\) | 1.04739 | + | 1.97558i | 0.0354689 | + | 0.0669015i | ||||
\(873\) | 0.858550 | − | 2.15480i | 0.0290575 | − | 0.0729289i | ||||
\(874\) | 10.9885 | + | 39.5771i | 0.371693 | + | 1.33872i | ||||
\(875\) | −1.36394 | − | 1.60576i | −0.0461096 | − | 0.0542844i | ||||
\(876\) | 10.2527 | − | 19.3387i | 0.346408 | − | 0.653394i | ||||
\(877\) | 25.9734 | − | 38.3079i | 0.877060 | − | 1.29357i | −0.0779384 | − | 0.996958i | \(-0.524834\pi\) |
0.954999 | − | 0.296609i | \(-0.0958559\pi\) | |||||||
\(878\) | 32.9347 | + | 15.2372i | 1.11149 | + | 0.514231i | ||||
\(879\) | −6.78043 | + | 7.98254i | −0.228698 | + | 0.269244i | ||||
\(880\) | −0.201467 | − | 0.505644i | −0.00679145 | − | 0.0170453i | ||||
\(881\) | −0.279645 | + | 0.212580i | −0.00942147 | + | 0.00716201i | −0.609874 | − | 0.792498i | \(-0.708780\pi\) |
0.600453 | + | 0.799660i | \(0.294987\pi\) | |||||||
\(882\) | 13.4039 | − | 8.06488i | 0.451334 | − | 0.271559i | ||||
\(883\) | 32.9899 | − | 11.1156i | 1.11020 | − | 0.374069i | 0.296310 | − | 0.955092i | \(-0.404244\pi\) |
0.813887 | + | 0.581023i | \(0.197347\pi\) | |||||||
\(884\) | 9.84224 | 0.331030 | ||||||||
\(885\) | 0.379756 | − | 0.183308i | 0.0127653 | − | 0.00616184i | ||||
\(886\) | 77.7498 | 2.61206 | ||||||||
\(887\) | 16.4138 | − | 5.53045i | 0.551121 | − | 0.185694i | −0.0299435 | − | 0.999552i | \(-0.509533\pi\) |
0.581065 | + | 0.813857i | \(0.302636\pi\) | |||||||
\(888\) | 0.210405 | − | 0.126597i | 0.00706074 | − | 0.00424831i | ||||
\(889\) | −39.0688 | + | 29.6993i | −1.31033 | + | 0.996083i | ||||
\(890\) | 0.177815 | + | 0.446281i | 0.00596036 | + | 0.0149594i | ||||
\(891\) | 1.68194 | − | 1.98014i | 0.0563472 | − | 0.0663371i | ||||
\(892\) | 29.9625 | + | 13.8621i | 1.00322 | + | 0.464138i | ||||
\(893\) | −10.3121 | + | 15.2092i | −0.345082 | + | 0.508958i | ||||
\(894\) | 3.62066 | − | 6.82929i | 0.121093 | − | 0.228406i | ||||
\(895\) | −0.254050 | − | 0.299091i | −0.00849195 | − | 0.00999750i | ||||
\(896\) | −1.46078 | − | 5.26124i | −0.0488011 | − | 0.175766i | ||||
\(897\) | 16.8411 | − | 42.2681i | 0.562309 | − | 1.41129i | ||||
\(898\) | −6.64903 | − | 12.5414i | −0.221881 | − | 0.418512i | ||||
\(899\) | 5.56920 | + | 0.605688i | 0.185743 | + | 0.0202008i | ||||
\(900\) | −8.30628 | − | 6.31427i | −0.276876 | − | 0.210476i | ||||
\(901\) | 0.503854 | − | 1.81472i | 0.0167858 | − | 0.0604570i | ||||
\(902\) | 11.8527 | − | 5.48363i | 0.394651 | − | 0.182585i | ||||
\(903\) | 5.83269 | − | 35.5778i | 0.194100 | − | 1.18396i | ||||
\(904\) | 0.918082 | + | 0.202085i | 0.0305349 | + | 0.00672125i | ||||
\(905\) | −1.00354 | − | 0.603813i | −0.0333589 | − | 0.0200714i | ||||
\(906\) | −35.8557 | + | 3.89955i | −1.19123 | + | 0.129554i | ||||
\(907\) | −7.25708 | − | 10.7034i | −0.240967 | − | 0.355400i | 0.687905 | − | 0.725801i | \(-0.258531\pi\) |
−0.928872 | + | 0.370401i | \(0.879220\pi\) | |||||||
\(908\) | −4.32793 | − | 26.3992i | −0.143627 | − | 0.876088i | ||||
\(909\) | −0.580957 | + | 10.7151i | −0.0192691 | + | 0.355398i | ||||
\(910\) | 1.68081 | − | 1.59215i | 0.0557183 | − | 0.0527792i | ||||
\(911\) | 18.6871 | + | 17.7014i | 0.619131 | + | 0.586472i | 0.931613 | − | 0.363452i | \(-0.118402\pi\) |
−0.312482 | + | 0.949924i | \(0.601160\pi\) | |||||||
\(912\) | −0.501202 | − | 9.24413i | −0.0165965 | − | 0.306104i | ||||
\(913\) | −29.3736 | + | 6.46562i | −0.972124 | + | 0.213981i | ||||
\(914\) | −11.5791 | − | 3.90146i | −0.383004 | − | 0.129049i | ||||
\(915\) | −0.0269199 | − | 0.00907037i | −0.000889944 | − | 0.000299857i | ||||
\(916\) | 14.3799 | − | 3.16525i | 0.475125 | − | 0.104583i | ||||
\(917\) | −4.10543 | − | 75.7203i | −0.135573 | − | 2.50050i | ||||
\(918\) | −1.27346 | − | 1.20628i | −0.0420303 | − | 0.0398133i | ||||
\(919\) | 28.3027 | − | 26.8097i | 0.933620 | − | 0.884371i | −0.0598801 | − | 0.998206i | \(-0.519072\pi\) |
0.993500 | + | 0.113834i | \(0.0363132\pi\) | |||||||
\(920\) | 0.00442948 | − | 0.0816969i | 0.000146036 | − | 0.00269347i | ||||
\(921\) | 3.08622 | + | 18.8251i | 0.101694 | + | 0.620307i | ||||
\(922\) | 30.2131 | + | 44.5609i | 0.995014 | + | 1.46754i | ||||
\(923\) | 27.5390 | − | 2.99504i | 0.906456 | − | 0.0985830i | ||||
\(924\) | −17.8441 | − | 10.7364i | −0.587027 | − | 0.353203i | ||||
\(925\) | 6.73350 | + | 1.48216i | 0.221396 | + | 0.0487330i | ||||
\(926\) | 2.07361 | − | 12.6484i | 0.0681430 | − | 0.415654i | ||||
\(927\) | 17.1677 | − | 7.94261i | 0.563861 | − | 0.260870i | ||||
\(928\) | 14.1558 | − | 50.9847i | 0.464688 | − | 1.67365i | ||||
\(929\) | −33.2451 | − | 25.2723i | −1.09074 | − | 0.829156i | −0.104505 | − | 0.994524i | \(-0.533326\pi\) |
−0.986232 | + | 0.165368i | \(0.947119\pi\) | |||||||
\(930\) | −0.0943015 | − | 0.0102559i | −0.00309227 | − | 0.000336304i | ||||
\(931\) | −8.79151 | − | 16.5825i | −0.288130 | − | 0.543471i | ||||
\(932\) | 14.0583 | − | 35.2838i | 0.460496 | − | 1.15576i | ||||
\(933\) | −5.40932 | − | 19.4826i | −0.177093 | − | 0.637832i | ||||
\(934\) | 25.7294 | + | 30.2910i | 0.841892 | + | 0.991152i | ||||
\(935\) | −0.0579597 | + | 0.109324i | −0.00189548 | + | 0.00357526i | ||||
\(936\) | 0.542643 | − | 0.800339i | 0.0177368 | − | 0.0261599i | ||||
\(937\) | −1.67478 | − | 0.774836i | −0.0547127 | − | 0.0253128i | 0.392342 | − | 0.919819i | \(-0.371665\pi\) |
−0.447055 | + | 0.894507i | \(0.647527\pi\) | |||||||
\(938\) | 45.6867 | − | 53.7866i | 1.49172 | − | 1.75619i | ||||
\(939\) | −9.19838 | − | 23.0862i | −0.300178 | − | 0.753390i | ||||
\(940\) | 0.691238 | − | 0.525465i | 0.0225457 | − | 0.0171388i | ||||
\(941\) | −42.0949 | + | 25.3277i | −1.37226 | + | 0.825659i | −0.994944 | − | 0.100428i | \(-0.967979\pi\) |
−0.377311 | + | 0.926087i | \(0.623151\pi\) | |||||||
\(942\) | 18.4550 | − | 6.21820i | 0.601295 | − | 0.202600i | ||||
\(943\) | −20.8196 | −0.677978 | ||||||||
\(944\) | 21.6085 | + | 19.8070i | 0.703298 | + | 0.644662i | ||||
\(945\) | −0.210748 | −0.00685563 | ||||||||
\(946\) | −46.7508 | + | 15.7522i | −1.52000 | + | 0.512148i | ||||
\(947\) | −13.1962 | + | 7.93987i | −0.428818 | + | 0.258011i | −0.713562 | − | 0.700592i | \(-0.752919\pi\) |
0.284744 | + | 0.958604i | \(0.408092\pi\) | |||||||
\(948\) | −12.5986 | + | 9.57722i | −0.409184 | + | 0.311054i | ||||
\(949\) | 21.0819 | + | 52.9115i | 0.684346 | + | 1.71758i | ||||
\(950\) | −15.8672 | + | 18.6803i | −0.514799 | + | 0.606068i | ||||
\(951\) | 14.3294 | + | 6.62946i | 0.464661 | + | 0.214975i | ||||
\(952\) | −0.332618 | + | 0.490575i | −0.0107802 | + | 0.0158996i | ||||
\(953\) | −2.71643 | + | 5.12373i | −0.0879938 | + | 0.165974i | −0.923603 | − | 0.383351i | \(-0.874770\pi\) |
0.835609 | + | 0.549325i | \(0.185115\pi\) | |||||||
\(954\) | −2.84159 | − | 3.34538i | −0.0919998 | − | 0.108311i | ||||
\(955\) | −0.364525 | − | 1.31290i | −0.0117958 | − | 0.0424845i | ||||
\(956\) | −11.8754 | + | 29.8049i | −0.384077 | + | 0.963961i | ||||
\(957\) | −7.97744 | − | 15.0470i | −0.257874 | − | 0.486402i | ||||
\(958\) | 1.77535 | + | 0.193081i | 0.0573589 | + | 0.00623816i | ||||
\(959\) | −0.492208 | − | 0.374166i | −0.0158942 | − | 0.0120825i | ||||
\(960\) | −0.127599 | + | 0.459572i | −0.00411825 | + | 0.0148326i | ||||
\(961\) | −27.4720 | + | 12.7099i | −0.886194 | + | 0.409997i | ||||
\(962\) | −2.45222 | + | 14.9579i | −0.0790627 | + | 0.482261i | ||||
\(963\) | −17.4585 | − | 3.84290i | −0.562591 | − | 0.123836i | ||||
\(964\) | 3.33407 | + | 2.00604i | 0.107383 | + | 0.0646103i | ||||
\(965\) | −1.05284 | + | 0.114504i | −0.0338922 | + | 0.00368600i | ||||
\(966\) | 36.4762 | + | 53.7984i | 1.17360 | + | 1.73093i | ||||
\(967\) | 4.58018 | + | 27.9378i | 0.147289 | + | 0.898420i | 0.952301 | + | 0.305162i | \(0.0987105\pi\) |
−0.805012 | + | 0.593258i | \(0.797841\pi\) | |||||||
\(968\) | 0.0409499 | − | 0.755276i | 0.00131618 | − | 0.0242755i | ||||
\(969\) | −1.52791 | + | 1.44732i | −0.0490837 | + | 0.0464945i | ||||
\(970\) | 0.186918 | + | 0.177058i | 0.00600159 | + | 0.00568501i | ||||
\(971\) | −3.05006 | − | 56.2551i | −0.0978812 | − | 1.80531i | −0.475884 | − | 0.879508i | \(-0.657872\pi\) |
0.378003 | − | 0.925804i | \(-0.376611\pi\) | |||||||
\(972\) | −2.03920 | + | 0.448863i | −0.0654075 | + | 0.0143973i | ||||
\(973\) | −50.5624 | − | 17.0365i | −1.62096 | − | 0.546164i | ||||
\(974\) | 52.5794 | + | 17.7160i | 1.68475 | + | 0.567659i | ||||
\(975\) | 26.5155 | − | 5.83650i | 0.849175 | − | 0.186917i | ||||
\(976\) | −0.106907 | − | 1.97178i | −0.00342201 | − | 0.0631153i | ||||
\(977\) | 34.8012 | + | 32.9654i | 1.11339 | + | 1.05466i | 0.998118 | + | 0.0613238i | \(0.0195322\pi\) |
0.115271 | + | 0.993334i | \(0.463226\pi\) | |||||||
\(978\) | −32.8055 | + | 31.0750i | −1.04900 | + | 0.993669i | ||||
\(979\) | −0.608758 | + | 11.2279i | −0.0194560 | + | 0.358844i | ||||
\(980\) | 0.143480 | + | 0.875191i | 0.00458331 | + | 0.0279570i | ||||
\(981\) | 7.05096 | + | 10.3994i | 0.225120 | + | 0.332027i | ||||
\(982\) | 18.7702 | − | 2.04139i | 0.598983 | − | 0.0651433i | ||||
\(983\) | 21.1445 | + | 12.7222i | 0.674404 | + | 0.405775i | 0.811156 | − | 0.584830i | \(-0.198839\pi\) |
−0.136752 | + | 0.990605i | \(0.543666\pi\) | |||||||
\(984\) | −0.432112 | − | 0.0951151i | −0.0137752 | − | 0.00303216i | ||||
\(985\) | −0.0860959 | + | 0.525162i | −0.00274324 | + | 0.0167331i | ||||
\(986\) | −10.4358 | + | 4.82809i | −0.332342 | + | 0.153758i | ||||
\(987\) | −7.77933 | + | 28.0186i | −0.247619 | + | 0.891842i | ||||
\(988\) | −21.9096 | − | 16.6553i | −0.697038 | − | 0.529875i | ||||
\(989\) | 78.1851 | + | 8.50314i | 2.48614 | + | 0.270384i | ||||
\(990\) | 0.135079 | + | 0.254787i | 0.00429310 | + | 0.00809765i | ||||
\(991\) | −22.6675 | + | 56.8912i | −0.720058 | + | 1.80721i | −0.144396 | + | 0.989520i | \(0.546124\pi\) |
−0.575661 | + | 0.817688i | \(0.695255\pi\) | |||||||
\(992\) | −1.84544 | − | 6.64668i | −0.0585928 | − | 0.211032i | ||||
\(993\) | 6.92289 | + | 8.15026i | 0.219691 | + | 0.258641i | ||||
\(994\) | −18.5362 | + | 34.9629i | −0.587932 | + | 1.10896i | ||||
\(995\) | 0.294695 | − | 0.434643i | 0.00934247 | − | 0.0137791i | ||||
\(996\) | 21.9382 | + | 10.1497i | 0.695138 | + | 0.321605i | ||||
\(997\) | 23.5085 | − | 27.6763i | 0.744521 | − | 0.876518i | −0.251294 | − | 0.967911i | \(-0.580856\pi\) |
0.995815 | + | 0.0913928i | \(0.0291319\pi\) | |||||||
\(998\) | −3.64607 | − | 9.15094i | −0.115414 | − | 0.289668i | ||||
\(999\) | 1.09843 | − | 0.835002i | 0.0347527 | − | 0.0264183i |
(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 | 177.2.e.b.130.5 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.307.1 | 140 | |||
59.5 | even | 29 | inner | 177.2.e.b.64.5 | ✓ | 140 | |
177.5 | odd | 58 | 531.2.i.b.64.1 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.64.5 | ✓ | 140 | 59.5 | even | 29 | inner | |
177.2.e.b.130.5 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.64.1 | 140 | 177.5 | odd | 58 | |||
531.2.i.b.307.1 | 140 | 3.2 | odd | 2 |