Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (of order \(6\), degree \(2\), 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: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 16 x^{12} - 12 x^{11} - 8 x^{10} + 36 x^{9} - 68 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(1.40985 + 0.111062i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.11 |
Dual form | 72.2.l.b.59.4 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.608741 | − | 1.27649i | −0.430445 | − | 0.902617i | ||||
\(3\) | −1.71646 | − | 0.231865i | −0.990999 | − | 0.133867i | ||||
\(4\) | −1.25887 | + | 1.55411i | −0.629435 | + | 0.777053i | ||||
\(5\) | −1.74322 | − | 3.01934i | −0.779591 | − | 1.35029i | −0.932178 | − | 0.362001i | \(-0.882094\pi\) |
0.152587 | − | 0.988290i | \(-0.451240\pi\) | |||||||
\(6\) | 0.748906 | + | 2.33220i | 0.305740 | + | 0.952115i | ||||
\(7\) | −1.80802 | − | 1.04386i | −0.683367 | − | 0.394542i | 0.117756 | − | 0.993043i | \(-0.462430\pi\) |
−0.801122 | + | 0.598501i | \(0.795763\pi\) | |||||||
\(8\) | 2.75013 | + | 0.660890i | 0.972318 | + | 0.233660i | ||||
\(9\) | 2.89248 | + | 0.795973i | 0.964159 | + | 0.265324i | ||||
\(10\) | −2.79300 | + | 4.06320i | −0.883225 | + | 1.28490i | ||||
\(11\) | −0.116985 | − | 0.0675415i | −0.0352724 | − | 0.0203645i | 0.482260 | − | 0.876028i | \(-0.339816\pi\) |
−0.517533 | + | 0.855664i | \(0.673149\pi\) | |||||||
\(12\) | 2.52114 | − | 2.37568i | 0.727791 | − | 0.685799i | ||||
\(13\) | 2.63890 | − | 1.52357i | 0.731900 | − | 0.422563i | −0.0872168 | − | 0.996189i | \(-0.527797\pi\) |
0.819117 | + | 0.573627i | \(0.194464\pi\) | |||||||
\(14\) | −0.231866 | + | 2.94336i | −0.0619687 | + | 0.786647i | ||||
\(15\) | 2.29209 | + | 5.58677i | 0.591814 | + | 1.44250i | ||||
\(16\) | −0.830495 | − | 3.91283i | −0.207624 | − | 0.978209i | ||||
\(17\) | − | 4.19800i | − | 1.01816i | −0.860718 | − | 0.509082i | \(-0.829985\pi\) | ||
0.860718 | − | 0.509082i | \(-0.170015\pi\) | |||||||
\(18\) | −0.744715 | − | 4.17677i | −0.175531 | − | 0.984474i | ||||
\(19\) | 0.919111 | 0.210858 | 0.105429 | − | 0.994427i | \(-0.466378\pi\) | ||||
0.105429 | + | 0.994427i | \(0.466378\pi\) | |||||||
\(20\) | 6.88686 | + | 1.09181i | 1.53995 | + | 0.244136i | ||||
\(21\) | 2.86136 | + | 2.21096i | 0.624400 | + | 0.482471i | ||||
\(22\) | −0.0150025 | + | 0.190446i | −0.00319855 | + | 0.0406033i | ||||
\(23\) | −0.689877 | − | 1.19490i | −0.143849 | − | 0.249154i | 0.785094 | − | 0.619377i | \(-0.212615\pi\) |
−0.928943 | + | 0.370223i | \(0.879281\pi\) | |||||||
\(24\) | −4.56726 | − | 1.77205i | −0.932287 | − | 0.361718i | ||||
\(25\) | −3.57762 | + | 6.19662i | −0.715524 | + | 1.23932i | ||||
\(26\) | −3.55124 | − | 2.44108i | −0.696455 | − | 0.478736i | ||||
\(27\) | −4.78027 | − | 2.03692i | −0.919963 | − | 0.392005i | ||||
\(28\) | 3.89833 | − | 1.49577i | 0.736715 | − | 0.282674i | ||||
\(29\) | −4.24111 | + | 7.34582i | −0.787555 | + | 1.36409i | 0.139906 | + | 0.990165i | \(0.455320\pi\) |
−0.927461 | + | 0.373921i | \(0.878013\pi\) | |||||||
\(30\) | 5.73619 | − | 6.32673i | 1.04728 | − | 1.15510i | ||||
\(31\) | 4.39877 | − | 2.53963i | 0.790042 | − | 0.456131i | −0.0499352 | − | 0.998752i | \(-0.515901\pi\) |
0.839977 | + | 0.542621i | \(0.182568\pi\) | |||||||
\(32\) | −4.48915 | + | 3.44202i | −0.793577 | + | 0.608470i | ||||
\(33\) | 0.185140 | + | 0.143057i | 0.0322288 | + | 0.0249030i | ||||
\(34\) | −5.35871 | + | 2.55549i | −0.919012 | + | 0.438263i | ||||
\(35\) | 7.27870i | 1.23033i | ||||||||
\(36\) | −4.87828 | + | 3.49319i | −0.813047 | + | 0.582199i | ||||
\(37\) | 1.61676i | 0.265794i | 0.991130 | + | 0.132897i | \(0.0424280\pi\) | ||||
−0.991130 | + | 0.132897i | \(0.957572\pi\) | |||||||
\(38\) | −0.559500 | − | 1.17324i | −0.0907629 | − | 0.190324i | ||||
\(39\) | −4.88284 | + | 2.00328i | −0.781880 | + | 0.320782i | ||||
\(40\) | −2.79863 | − | 9.45566i | −0.442501 | − | 1.49507i | ||||
\(41\) | 1.79408 | − | 1.03581i | 0.280188 | − | 0.161767i | −0.353320 | − | 0.935502i | \(-0.614947\pi\) |
0.633509 | + | 0.773736i | \(0.281614\pi\) | |||||||
\(42\) | 1.08045 | − | 4.99841i | 0.166717 | − | 0.771271i | ||||
\(43\) | 5.41106 | − | 9.37224i | 0.825180 | − | 1.42925i | −0.0766025 | − | 0.997062i | \(-0.524407\pi\) |
0.901782 | − | 0.432191i | \(-0.142259\pi\) | |||||||
\(44\) | 0.252236 | − | 0.0967817i | 0.0380260 | − | 0.0145904i | ||||
\(45\) | −2.63890 | − | 10.1209i | −0.393385 | − | 1.50874i | ||||
\(46\) | −1.10533 | + | 1.60801i | −0.162972 | + | 0.237088i | ||||
\(47\) | 0.205809 | − | 0.356471i | 0.0300203 | − | 0.0519966i | −0.850625 | − | 0.525773i | \(-0.823776\pi\) |
0.880645 | + | 0.473776i | \(0.157109\pi\) | |||||||
\(48\) | 0.518265 | + | 6.90879i | 0.0748051 | + | 0.997198i | ||||
\(49\) | −1.32071 | − | 2.28754i | −0.188673 | − | 0.326791i | ||||
\(50\) | 10.0878 | + | 0.794672i | 1.42663 | + | 0.112384i | ||||
\(51\) | −0.973367 | + | 7.20570i | −0.136299 | + | 1.00900i | ||||
\(52\) | −0.954242 | + | 6.01912i | −0.132330 | + | 0.834701i | ||||
\(53\) | 0.968137 | 0.132984 | 0.0664919 | − | 0.997787i | \(-0.478819\pi\) | ||||
0.0664919 | + | 0.997787i | \(0.478819\pi\) | |||||||
\(54\) | 0.309829 | + | 7.34193i | 0.0421623 | + | 0.999111i | ||||
\(55\) | 0.470958i | 0.0635040i | ||||||||
\(56\) | −4.28241 | − | 4.06565i | −0.572261 | − | 0.543296i | ||||
\(57\) | −1.57762 | − | 0.213109i | −0.208961 | − | 0.0282270i | ||||
\(58\) | 11.9586 | + | 0.942050i | 1.57025 | + | 0.123697i | ||||
\(59\) | 3.88770 | − | 2.24457i | 0.506136 | − | 0.292218i | −0.225108 | − | 0.974334i | \(-0.572274\pi\) |
0.731244 | + | 0.682116i | \(0.238940\pi\) | |||||||
\(60\) | −11.5679 | − | 3.47087i | −1.49341 | − | 0.448088i | ||||
\(61\) | 7.44553 | + | 4.29868i | 0.953303 | + | 0.550390i | 0.894105 | − | 0.447857i | \(-0.147812\pi\) |
0.0591976 | + | 0.998246i | \(0.481146\pi\) | |||||||
\(62\) | −5.91953 | − | 4.06902i | −0.751781 | − | 0.516766i | ||||
\(63\) | −4.39877 | − | 4.45848i | −0.554193 | − | 0.561715i | ||||
\(64\) | 7.12645 | + | 3.63507i | 0.890806 | + | 0.454384i | ||||
\(65\) | −9.20037 | − | 5.31183i | −1.14117 | − | 0.658852i | ||||
\(66\) | 0.0699090 | − | 0.323415i | 0.00860520 | − | 0.0398096i | ||||
\(67\) | 3.15416 | + | 5.46316i | 0.385342 | + | 0.667432i | 0.991817 | − | 0.127671i | \(-0.0407502\pi\) |
−0.606475 | + | 0.795103i | \(0.707417\pi\) | |||||||
\(68\) | 6.52413 | + | 5.28473i | 0.791168 | + | 0.640868i | ||||
\(69\) | 0.907092 | + | 2.21096i | 0.109201 | + | 0.266168i | ||||
\(70\) | 9.29121 | − | 4.43084i | 1.11051 | − | 0.529587i | ||||
\(71\) | 11.9687 | 1.42042 | 0.710210 | − | 0.703990i | \(-0.248600\pi\) | ||||
0.710210 | + | 0.703990i | \(0.248600\pi\) | |||||||
\(72\) | 7.42864 | + | 4.10064i | 0.875474 | + | 0.483265i | ||||
\(73\) | −4.06264 | −0.475496 | −0.237748 | − | 0.971327i | \(-0.576409\pi\) | ||||
−0.237748 | + | 0.971327i | \(0.576409\pi\) | |||||||
\(74\) | 2.06379 | − | 0.984189i | 0.239910 | − | 0.114410i | ||||
\(75\) | 7.57762 | − | 9.80673i | 0.874988 | − | 1.13238i | ||||
\(76\) | −1.15704 | + | 1.42840i | −0.132722 | + | 0.163848i | ||||
\(77\) | 0.141008 | + | 0.244232i | 0.0160693 | + | 0.0278329i | ||||
\(78\) | 5.52956 | + | 5.01343i | 0.626099 | + | 0.567659i | ||||
\(79\) | −10.8672 | − | 6.27416i | −1.22265 | − | 0.705899i | −0.257170 | − | 0.966366i | \(-0.582790\pi\) |
−0.965483 | + | 0.260468i | \(0.916123\pi\) | |||||||
\(80\) | −10.3665 | + | 9.32847i | −1.15900 | + | 1.04296i | ||||
\(81\) | 7.73285 | + | 4.60467i | 0.859206 | + | 0.511630i | ||||
\(82\) | −2.41434 | − | 1.65959i | −0.266619 | − | 0.183271i | ||||
\(83\) | 5.23875 | + | 3.02459i | 0.575027 | + | 0.331992i | 0.759155 | − | 0.650910i | \(-0.225613\pi\) |
−0.184128 | + | 0.982902i | \(0.558946\pi\) | |||||||
\(84\) | −7.03815 | + | 1.66355i | −0.767925 | + | 0.181508i | ||||
\(85\) | −12.6752 | + | 7.31802i | −1.37482 | + | 0.793751i | ||||
\(86\) | −15.2575 | − | 1.20192i | −1.64526 | − | 0.129607i | ||||
\(87\) | 8.98294 | − | 11.6255i | 0.963073 | − | 1.24638i | ||||
\(88\) | −0.277087 | − | 0.263062i | −0.0295376 | − | 0.0280425i | ||||
\(89\) | 8.35848i | 0.885997i | 0.896522 | + | 0.442999i | \(0.146085\pi\) | ||||
−0.896522 | + | 0.442999i | \(0.853915\pi\) | |||||||
\(90\) | −11.3129 | + | 9.52957i | −1.19248 | + | 1.00450i | ||||
\(91\) | −6.36158 | −0.666875 | ||||||||
\(92\) | 2.72547 | + | 0.432083i | 0.284150 | + | 0.0450478i | ||||
\(93\) | −8.13917 | + | 3.33926i | −0.843992 | + | 0.346265i | ||||
\(94\) | −0.580317 | − | 0.0457149i | −0.0598551 | − | 0.00471513i | ||||
\(95\) | −1.60221 | − | 2.77511i | −0.164383 | − | 0.284720i | ||||
\(96\) | 8.50354 | − | 4.86722i | 0.867889 | − | 0.496759i | ||||
\(97\) | −0.477065 | + | 0.826300i | −0.0484386 | + | 0.0838981i | −0.889228 | − | 0.457464i | \(-0.848758\pi\) |
0.840790 | + | 0.541362i | \(0.182091\pi\) | |||||||
\(98\) | −2.11606 | + | 3.07840i | −0.213754 | + | 0.310965i | ||||
\(99\) | −0.284616 | − | 0.288479i | −0.0286050 | − | 0.0289933i | ||||
\(100\) | −5.12645 | − | 13.3607i | −0.512645 | − | 1.33607i | ||||
\(101\) | 5.35926 | − | 9.28250i | 0.533266 | − | 0.923644i | −0.465979 | − | 0.884796i | \(-0.654298\pi\) |
0.999245 | − | 0.0388479i | \(-0.0123688\pi\) | |||||||
\(102\) | 9.79055 | − | 3.14391i | 0.969409 | − | 0.311293i | ||||
\(103\) | −7.46070 | + | 4.30743i | −0.735124 | + | 0.424424i | −0.820294 | − | 0.571942i | \(-0.806190\pi\) |
0.0851696 | + | 0.996366i | \(0.472857\pi\) | |||||||
\(104\) | 8.26425 | − | 2.44600i | 0.810376 | − | 0.239850i | ||||
\(105\) | 1.68767 | − | 12.4936i | 0.164700 | − | 1.21925i | ||||
\(106\) | −0.589344 | − | 1.23582i | −0.0572422 | − | 0.120033i | ||||
\(107\) | − | 4.80774i | − | 0.464781i | −0.972623 | − | 0.232391i | \(-0.925345\pi\) | ||
0.972623 | − | 0.232391i | \(-0.0746548\pi\) | |||||||
\(108\) | 9.18332 | − | 4.86483i | 0.883666 | − | 0.468118i | ||||
\(109\) | − | 7.16698i | − | 0.686472i | −0.939249 | − | 0.343236i | \(-0.888477\pi\) | ||
0.939249 | − | 0.343236i | \(-0.111523\pi\) | |||||||
\(110\) | 0.601175 | − | 0.286691i | 0.0573198 | − | 0.0273349i | ||||
\(111\) | 0.374870 | − | 2.77511i | 0.0355811 | − | 0.263402i | ||||
\(112\) | −2.58290 | + | 7.94140i | −0.244061 | + | 0.750392i | ||||
\(113\) | −0.213928 | + | 0.123511i | −0.0201246 | + | 0.0116190i | −0.510029 | − | 0.860157i | \(-0.670365\pi\) |
0.489904 | + | 0.871776i | \(0.337032\pi\) | |||||||
\(114\) | 0.688328 | + | 2.14355i | 0.0644678 | + | 0.200762i | ||||
\(115\) | −2.40521 | + | 4.16595i | −0.224287 | + | 0.388477i | ||||
\(116\) | −6.07719 | − | 15.8386i | −0.564253 | − | 1.47058i | ||||
\(117\) | 8.84569 | − | 2.30640i | 0.817784 | − | 0.213227i | ||||
\(118\) | −5.23178 | − | 3.59627i | −0.481624 | − | 0.331063i | ||||
\(119\) | −4.38212 | + | 7.59006i | −0.401708 | + | 0.695779i | ||||
\(120\) | 2.61130 | + | 16.8792i | 0.238378 | + | 1.54085i | ||||
\(121\) | −5.49088 | − | 9.51048i | −0.499171 | − | 0.864589i | ||||
\(122\) | 0.954837 | − | 12.1210i | 0.0864469 | − | 1.09738i | ||||
\(123\) | −3.31963 | + | 1.36195i | −0.299321 | + | 0.122803i | ||||
\(124\) | −1.59062 | + | 10.0332i | −0.142842 | + | 0.901010i | ||||
\(125\) | 7.51409 | 0.672081 | ||||||||
\(126\) | −3.01350 | + | 8.32905i | −0.268464 | + | 0.742011i | ||||
\(127\) | 17.6276i | 1.56420i | 0.623156 | + | 0.782098i | \(0.285850\pi\) | ||||
−0.623156 | + | 0.782098i | \(0.714150\pi\) | |||||||
\(128\) | 0.301983 | − | 11.3097i | 0.0266918 | − | 0.999644i | ||||
\(129\) | −11.4610 | + | 14.8324i | −1.00908 | + | 1.30592i | ||||
\(130\) | −1.17988 | + | 14.9777i | −0.103483 | + | 1.31363i | ||||
\(131\) | −12.7802 | + | 7.37864i | −1.11661 | + | 0.644675i | −0.940533 | − | 0.339702i | \(-0.889674\pi\) |
−0.176076 | + | 0.984377i | \(0.556341\pi\) | |||||||
\(132\) | −0.455393 | + | 0.107637i | −0.0396369 | + | 0.00936864i | ||||
\(133\) | −1.66177 | − | 0.959423i | −0.144094 | − | 0.0831925i | ||||
\(134\) | 5.05362 | − | 7.35191i | 0.436567 | − | 0.635108i | ||||
\(135\) | 2.18289 | + | 17.9841i | 0.187873 | + | 1.54782i | ||||
\(136\) | 2.77442 | − | 11.5450i | 0.237904 | − | 0.989979i | ||||
\(137\) | 14.8589 | + | 8.57878i | 1.26948 | + | 0.732934i | 0.974889 | − | 0.222689i | \(-0.0714836\pi\) |
0.294590 | + | 0.955624i | \(0.404817\pi\) | |||||||
\(138\) | 2.27009 | − | 2.50380i | 0.193243 | − | 0.213137i | ||||
\(139\) | −0.607862 | − | 1.05285i | −0.0515581 | − | 0.0893013i | 0.839095 | − | 0.543986i | \(-0.183085\pi\) |
−0.890653 | + | 0.454684i | \(0.849752\pi\) | |||||||
\(140\) | −11.3119 | − | 9.16294i | −0.956028 | − | 0.774410i | ||||
\(141\) | −0.435915 | + | 0.564149i | −0.0367107 | + | 0.0475099i | ||||
\(142\) | −7.28581 | − | 15.2779i | −0.611412 | − | 1.28209i | ||||
\(143\) | −0.411617 | −0.0344211 | ||||||||
\(144\) | 0.712323 | − | 11.9788i | 0.0593603 | − | 0.998237i | ||||
\(145\) | 29.5727 | 2.45588 | ||||||||
\(146\) | 2.47310 | + | 5.18593i | 0.204675 | + | 0.429191i | ||||
\(147\) | 1.73655 | + | 4.23270i | 0.143228 | + | 0.349107i | ||||
\(148\) | −2.51262 | − | 2.03529i | −0.206536 | − | 0.167300i | ||||
\(149\) | 4.46357 | + | 7.73113i | 0.365670 | + | 0.633359i | 0.988883 | − | 0.148693i | \(-0.0475066\pi\) |
−0.623214 | + | 0.782052i | \(0.714173\pi\) | |||||||
\(150\) | −17.1310 | − | 3.70302i | −1.39874 | − | 0.302351i | ||||
\(151\) | 18.9453 | + | 10.9381i | 1.54175 | + | 0.890127i | 0.998729 | + | 0.0504058i | \(0.0160515\pi\) |
0.543017 | + | 0.839722i | \(0.317282\pi\) | |||||||
\(152\) | 2.52768 | + | 0.607431i | 0.205022 | + | 0.0492692i | ||||
\(153\) | 3.34149 | − | 12.1426i | 0.270144 | − | 0.981672i | ||||
\(154\) | 0.225924 | − | 0.328670i | 0.0182055 | − | 0.0264850i | ||||
\(155\) | −15.3360 | − | 8.85426i | −1.23182 | − | 0.711191i | ||||
\(156\) | 3.03354 | − | 10.1103i | 0.242878 | − | 0.809474i | ||||
\(157\) | −4.85478 | + | 2.80291i | −0.387454 | + | 0.223697i | −0.681056 | − | 0.732231i | \(-0.738479\pi\) |
0.293602 | + | 0.955928i | \(0.405146\pi\) | |||||||
\(158\) | −1.39364 | + | 17.6912i | −0.110872 | + | 1.40744i | ||||
\(159\) | −1.66177 | − | 0.224477i | −0.131787 | − | 0.0178022i | ||||
\(160\) | 18.2182 | + | 7.55408i | 1.44028 | + | 0.597203i | ||||
\(161\) | 2.88054i | 0.227018i | ||||||||
\(162\) | 1.17053 | − | 12.6740i | 0.0919652 | − | 0.995762i | ||||
\(163\) | −17.1763 | −1.34535 | −0.672676 | − | 0.739937i | \(-0.734855\pi\) | ||||
−0.672676 | + | 0.739937i | \(0.734855\pi\) | |||||||
\(164\) | −0.648749 | + | 4.09214i | −0.0506588 | + | 0.319543i | ||||
\(165\) | 0.109199 | − | 0.808381i | 0.00850109 | − | 0.0629324i | ||||
\(166\) | 0.671832 | − | 8.52841i | 0.0521443 | − | 0.661933i | ||||
\(167\) | −2.31249 | − | 4.00535i | −0.178946 | − | 0.309943i | 0.762574 | − | 0.646901i | \(-0.223935\pi\) |
−0.941520 | + | 0.336958i | \(0.890602\pi\) | |||||||
\(168\) | 6.40791 | + | 7.97148i | 0.494381 | + | 0.615013i | ||||
\(169\) | −1.85746 | + | 3.21721i | −0.142881 | + | 0.247478i | ||||
\(170\) | 17.0573 | + | 11.7250i | 1.30824 | + | 0.899267i | ||||
\(171\) | 2.65851 | + | 0.731587i | 0.203301 | + | 0.0559459i | ||||
\(172\) | 7.75363 | + | 20.2078i | 0.591209 | + | 1.54083i | ||||
\(173\) | 1.52076 | − | 2.63404i | 0.115621 | − | 0.200262i | −0.802407 | − | 0.596778i | \(-0.796447\pi\) |
0.918028 | + | 0.396516i | \(0.129781\pi\) | |||||||
\(174\) | −20.3081 | − | 4.38978i | −1.53955 | − | 0.332788i | ||||
\(175\) | 12.9368 | − | 7.46907i | 0.977930 | − | 0.564608i | ||||
\(176\) | −0.167123 | + | 0.513837i | −0.0125974 | + | 0.0387319i | ||||
\(177\) | −7.19353 | + | 2.95129i | −0.540699 | + | 0.221833i | ||||
\(178\) | 10.6695 | − | 5.08815i | 0.799716 | − | 0.381373i | ||||
\(179\) | − | 17.9997i | − | 1.34536i | −0.739935 | − | 0.672679i | \(-0.765144\pi\) | ||
0.739935 | − | 0.672679i | \(-0.234856\pi\) | |||||||
\(180\) | 19.0510 | + | 8.63980i | 1.41998 | + | 0.643972i | ||||
\(181\) | − | 15.9507i | − | 1.18561i | −0.805347 | − | 0.592804i | \(-0.798021\pi\) | ||
0.805347 | − | 0.592804i | \(-0.201979\pi\) | |||||||
\(182\) | 3.87255 | + | 8.12052i | 0.287053 | + | 0.601933i | ||||
\(183\) | −11.7833 | − | 9.10488i | −0.871044 | − | 0.673052i | ||||
\(184\) | −1.10755 | − | 3.74207i | −0.0816499 | − | 0.275869i | ||||
\(185\) | 4.88156 | − | 2.81837i | 0.358899 | − | 0.207211i | ||||
\(186\) | 9.21718 | + | 8.35685i | 0.675837 | + | 0.612754i | ||||
\(187\) | −0.283539 | + | 0.491104i | −0.0207344 | + | 0.0359131i | ||||
\(188\) | 0.294908 | + | 0.768599i | 0.0215084 | + | 0.0560558i | ||||
\(189\) | 6.51655 | + | 8.67272i | 0.474010 | + | 0.630848i | ||||
\(190\) | −2.56708 | + | 3.73453i | −0.186235 | + | 0.270931i | ||||
\(191\) | −2.21964 | + | 3.84452i | −0.160607 | + | 0.278180i | −0.935087 | − | 0.354419i | \(-0.884679\pi\) |
0.774479 | + | 0.632599i | \(0.218012\pi\) | |||||||
\(192\) | −11.3894 | − | 7.89183i | −0.821961 | − | 0.569544i | ||||
\(193\) | 0.673862 | + | 1.16716i | 0.0485057 | + | 0.0840143i | 0.889259 | − | 0.457404i | \(-0.151221\pi\) |
−0.840753 | + | 0.541419i | \(0.817887\pi\) | |||||||
\(194\) | 1.34518 | + | 0.105967i | 0.0965780 | + | 0.00760800i | ||||
\(195\) | 14.5604 | + | 11.2508i | 1.04270 | + | 0.805686i | ||||
\(196\) | 5.21769 | + | 0.827187i | 0.372692 | + | 0.0590848i | ||||
\(197\) | −9.16835 | −0.653218 | −0.326609 | − | 0.945160i | \(-0.605906\pi\) | ||||
−0.326609 | + | 0.945160i | \(0.605906\pi\) | |||||||
\(198\) | −0.194985 | + | 0.538920i | −0.0138569 | + | 0.0382993i | ||||
\(199\) | − | 24.0240i | − | 1.70301i | −0.524344 | − | 0.851507i | \(-0.675689\pi\) | ||
0.524344 | − | 0.851507i | \(-0.324311\pi\) | |||||||
\(200\) | −13.9342 | + | 14.6771i | −0.985297 | + | 1.03783i | ||||
\(201\) | −4.14728 | − | 10.1086i | −0.292526 | − | 0.713009i | ||||
\(202\) | −15.1114 | − | 1.19042i | −1.06324 | − | 0.0837573i | ||||
\(203\) | 15.3360 | − | 8.85426i | 1.07638 | − | 0.621447i | ||||
\(204\) | −9.97308 | − | 10.5837i | −0.698255 | − | 0.741011i | ||||
\(205\) | −6.25494 | − | 3.61129i | −0.436864 | − | 0.252224i | ||||
\(206\) | 10.0400 | + | 6.90142i | 0.699523 | + | 0.480844i | ||||
\(207\) | −1.04434 | − | 4.00535i | −0.0725869 | − | 0.278391i | ||||
\(208\) | −8.15308 | − | 9.06028i | −0.565314 | − | 0.628217i | ||||
\(209\) | −0.107522 | − | 0.0620781i | −0.00743748 | − | 0.00429403i | ||||
\(210\) | −16.9754 | + | 5.45107i | −1.17141 | + | 0.376159i | ||||
\(211\) | 10.1275 | + | 17.5414i | 0.697208 | + | 1.20760i | 0.969431 | + | 0.245365i | \(0.0789078\pi\) |
−0.272223 | + | 0.962234i | \(0.587759\pi\) | |||||||
\(212\) | −1.21876 | + | 1.50459i | −0.0837046 | + | 0.103336i | ||||
\(213\) | −20.5437 | − | 2.77511i | −1.40763 | − | 0.190147i | ||||
\(214\) | −6.13704 | + | 2.92666i | −0.419520 | + | 0.200063i | ||||
\(215\) | −37.7307 | −2.57321 | ||||||||
\(216\) | −11.8002 | − | 8.76103i | −0.802901 | − | 0.596113i | ||||
\(217\) | −10.6041 | −0.719852 | ||||||||
\(218\) | −9.14860 | + | 4.36283i | −0.619622 | + | 0.295488i | ||||
\(219\) | 6.97337 | + | 0.941983i | 0.471216 | + | 0.0636533i | ||||
\(220\) | −0.731919 | − | 0.592875i | −0.0493460 | − | 0.0399716i | ||||
\(221\) | −6.39595 | − | 11.0781i | −0.430238 | − | 0.745194i | ||||
\(222\) | −3.77061 | + | 1.21080i | −0.253067 | + | 0.0812638i | ||||
\(223\) | −0.521119 | − | 0.300868i | −0.0348967 | − | 0.0201476i | 0.482450 | − | 0.875923i | \(-0.339747\pi\) |
−0.517347 | + | 0.855776i | \(0.673080\pi\) | |||||||
\(224\) | 11.7095 | − | 1.53720i | 0.782371 | − | 0.102708i | ||||
\(225\) | −15.2805 | + | 15.0759i | −1.01870 | + | 1.00506i | ||||
\(226\) | 0.287888 | + | 0.197891i | 0.0191500 | + | 0.0131635i | ||||
\(227\) | 9.23720 | + | 5.33310i | 0.613095 | + | 0.353970i | 0.774176 | − | 0.632971i | \(-0.218165\pi\) |
−0.161081 | + | 0.986941i | \(0.551498\pi\) | |||||||
\(228\) | 2.31721 | − | 2.18351i | 0.153461 | − | 0.144606i | ||||
\(229\) | 22.1574 | − | 12.7926i | 1.46420 | − | 0.845356i | 0.464998 | − | 0.885312i | \(-0.346055\pi\) |
0.999201 | + | 0.0399555i | \(0.0127216\pi\) | |||||||
\(230\) | 6.78196 | + | 0.534254i | 0.447189 | + | 0.0352276i | ||||
\(231\) | −0.185405 | − | 0.451910i | −0.0121988 | − | 0.0297335i | ||||
\(232\) | −16.5184 | + | 17.3991i | −1.08449 | + | 1.14231i | ||||
\(233\) | 4.71086i | 0.308619i | 0.988023 | + | 0.154309i | \(0.0493152\pi\) | ||||
−0.988023 | + | 0.154309i | \(0.950685\pi\) | |||||||
\(234\) | −8.32884 | − | 9.88746i | −0.544473 | − | 0.646364i | ||||
\(235\) | −1.43508 | −0.0936141 | ||||||||
\(236\) | −1.40581 | + | 8.86752i | −0.0915108 | + | 0.577226i | ||||
\(237\) | 17.1983 | + | 13.2891i | 1.11715 | + | 0.863218i | ||||
\(238\) | 12.3562 | + | 0.973371i | 0.800936 | + | 0.0630943i | ||||
\(239\) | 7.51034 | + | 13.0083i | 0.485803 | + | 0.841436i | 0.999867 | − | 0.0163162i | \(-0.00519384\pi\) |
−0.514064 | + | 0.857752i | \(0.671861\pi\) | |||||||
\(240\) | 19.9566 | − | 13.6083i | 1.28819 | − | 0.878415i | ||||
\(241\) | 12.8731 | − | 22.2969i | 0.829230 | − | 1.43627i | −0.0694129 | − | 0.997588i | \(-0.522113\pi\) |
0.898643 | − | 0.438681i | \(-0.144554\pi\) | |||||||
\(242\) | −8.79754 | + | 12.7985i | −0.565527 | + | 0.822717i | ||||
\(243\) | −12.2055 | − | 9.69671i | −0.782982 | − | 0.622044i | ||||
\(244\) | −16.0536 | + | 6.15968i | −1.02772 | + | 0.394333i | ||||
\(245\) | −4.60458 | + | 7.97536i | −0.294176 | + | 0.509527i | ||||
\(246\) | 3.75931 | + | 3.40842i | 0.239685 | + | 0.217313i | ||||
\(247\) | 2.42544 | − | 1.40033i | 0.154327 | − | 0.0891009i | ||||
\(248\) | 13.7756 | − | 4.07721i | 0.874752 | − | 0.258903i | ||||
\(249\) | −8.29081 | − | 6.40627i | −0.525409 | − | 0.405981i | ||||
\(250\) | −4.57413 | − | 9.59169i | −0.289294 | − | 0.606631i | ||||
\(251\) | 5.30436i | 0.334808i | 0.985888 | + | 0.167404i | \(0.0535385\pi\) | ||||
−0.985888 | + | 0.167404i | \(0.946462\pi\) | |||||||
\(252\) | 12.4664 | − | 1.22352i | 0.785311 | − | 0.0770743i | ||||
\(253\) | 0.186381i | 0.0117177i | ||||||||
\(254\) | 22.5015 | − | 10.7306i | 1.41187 | − | 0.673300i | ||||
\(255\) | 23.4533 | − | 9.62217i | 1.46870 | − | 0.602564i | ||||
\(256\) | −14.6206 | + | 6.49918i | −0.913785 | + | 0.406199i | ||||
\(257\) | −21.4984 | + | 12.4121i | −1.34104 | + | 0.774248i | −0.986959 | − | 0.160969i | \(-0.948538\pi\) |
−0.354077 | + | 0.935216i | \(0.615205\pi\) | |||||||
\(258\) | 25.9103 | + | 5.60074i | 1.61310 | + | 0.348687i | ||||
\(259\) | 1.68767 | − | 2.92314i | 0.104867 | − | 0.181635i | ||||
\(260\) | 19.8372 | − | 7.61145i | 1.23025 | − | 0.472042i | ||||
\(261\) | −18.1144 | + | 17.8718i | −1.12125 | + | 1.10624i | ||||
\(262\) | 17.1986 | + | 11.8221i | 1.06253 | + | 0.730374i | ||||
\(263\) | 9.95859 | − | 17.2488i | 0.614073 | − | 1.06361i | −0.376473 | − | 0.926427i | \(-0.622863\pi\) |
0.990546 | − | 0.137178i | \(-0.0438033\pi\) | |||||||
\(264\) | 0.414615 | + | 0.515783i | 0.0255178 | + | 0.0317443i | ||||
\(265\) | −1.68767 | − | 2.92314i | −0.103673 | − | 0.179567i | ||||
\(266\) | −0.213110 | + | 2.70528i | −0.0130666 | + | 0.165871i | ||||
\(267\) | 1.93804 | − | 14.3470i | 0.118606 | − | 0.878023i | ||||
\(268\) | −12.4610 | − | 1.97551i | −0.761177 | − | 0.120673i | ||||
\(269\) | −2.35540 | −0.143611 | −0.0718057 | − | 0.997419i | \(-0.522876\pi\) | ||||
−0.0718057 | + | 0.997419i | \(0.522876\pi\) | |||||||
\(270\) | 21.6277 | − | 13.7341i | 1.31622 | − | 0.835829i | ||||
\(271\) | 12.0774i | 0.733648i | 0.930290 | + | 0.366824i | \(0.119555\pi\) | ||||
−0.930290 | + | 0.366824i | \(0.880445\pi\) | |||||||
\(272\) | −16.4261 | + | 3.48642i | −0.995977 | + | 0.211395i | ||||
\(273\) | 10.9194 | + | 1.47503i | 0.660873 | + | 0.0892726i | ||||
\(274\) | 1.90555 | − | 24.1895i | 0.115118 | − | 1.46134i | ||||
\(275\) | 0.837057 | − | 0.483275i | 0.0504764 | − | 0.0291426i | ||||
\(276\) | −4.57798 | − | 1.37359i | −0.275562 | − | 0.0826807i | ||||
\(277\) | 14.5504 | + | 8.40069i | 0.874250 | + | 0.504748i | 0.868758 | − | 0.495237i | \(-0.164919\pi\) |
0.00549164 | + | 0.999985i | \(0.498252\pi\) | |||||||
\(278\) | −0.973922 | + | 1.41684i | −0.0584120 | + | 0.0849765i | ||||
\(279\) | 14.7448 | − | 3.84452i | 0.882749 | − | 0.230166i | ||||
\(280\) | −4.81042 | + | 20.0174i | −0.287478 | + | 1.19627i | ||||
\(281\) | 11.9853 | + | 6.91973i | 0.714984 | + | 0.412796i | 0.812904 | − | 0.582398i | \(-0.197885\pi\) |
−0.0979194 | + | 0.995194i | \(0.531219\pi\) | |||||||
\(282\) | 0.985491 | + | 0.213023i | 0.0586852 | + | 0.0126853i | ||||
\(283\) | 2.58123 | + | 4.47082i | 0.153438 | + | 0.265763i | 0.932489 | − | 0.361198i | \(-0.117632\pi\) |
−0.779051 | + | 0.626960i | \(0.784299\pi\) | |||||||
\(284\) | −15.0670 | + | 18.6006i | −0.894061 | + | 1.10374i | ||||
\(285\) | 2.10668 | + | 5.13486i | 0.124789 | + | 0.304163i | ||||
\(286\) | 0.250568 | + | 0.525426i | 0.0148164 | + | 0.0310691i | ||||
\(287\) | −4.32497 | −0.255295 | ||||||||
\(288\) | −15.7245 | + | 6.38273i | −0.926577 | + | 0.376106i | ||||
\(289\) | −0.623177 | −0.0366574 | ||||||||
\(290\) | −18.0021 | − | 37.7494i | −1.05712 | − | 2.21672i | ||||
\(291\) | 1.01045 | − | 1.30770i | 0.0592338 | − | 0.0766586i | ||||
\(292\) | 5.11434 | − | 6.31378i | 0.299294 | − | 0.369486i | ||||
\(293\) | 5.41881 | + | 9.38566i | 0.316571 | + | 0.548316i | 0.979770 | − | 0.200126i | \(-0.0641353\pi\) |
−0.663200 | + | 0.748443i | \(0.730802\pi\) | |||||||
\(294\) | 4.34590 | − | 4.79331i | 0.253458 | − | 0.279552i | ||||
\(295\) | −13.5542 | − | 7.82554i | −0.789158 | − | 0.455620i | ||||
\(296\) | −1.06850 | + | 4.44631i | −0.0621054 | + | 0.258436i | ||||
\(297\) | 0.421644 | + | 0.561156i | 0.0244663 | + | 0.0325616i | ||||
\(298\) | 7.15158 | − | 10.4040i | 0.414280 | − | 0.602686i | ||||
\(299\) | −3.64104 | − | 2.10215i | −0.210567 | − | 0.121571i | ||||
\(300\) | 5.70147 | + | 24.1218i | 0.329174 | + | 1.39267i | ||||
\(301\) | −19.5666 | + | 11.2968i | −1.12780 | + | 0.651136i | ||||
\(302\) | 2.42960 | − | 30.8420i | 0.139808 | − | 1.77476i | ||||
\(303\) | −11.3512 | + | 14.6904i | −0.652112 | + | 0.843943i | ||||
\(304\) | −0.763317 | − | 3.59633i | −0.0437792 | − | 0.206264i | ||||
\(305\) | − | 29.9742i | − | 1.71632i | ||||||
\(306\) | −17.5341 | + | 3.12631i | −1.00236 | + | 0.178719i | ||||
\(307\) | 16.6551 | 0.950557 | 0.475279 | − | 0.879835i | \(-0.342347\pi\) | ||||
0.475279 | + | 0.879835i | \(0.342347\pi\) | |||||||
\(308\) | −0.557074 | − | 0.0883158i | −0.0317422 | − | 0.00503226i | ||||
\(309\) | 13.8047 | − | 5.66367i | 0.785324 | − | 0.322195i | ||||
\(310\) | −1.96674 | + | 24.9663i | −0.111703 | + | 1.41799i | ||||
\(311\) | 6.47216 | + | 11.2101i | 0.367002 | + | 0.635667i | 0.989095 | − | 0.147277i | \(-0.0470508\pi\) |
−0.622093 | + | 0.782943i | \(0.713717\pi\) | |||||||
\(312\) | −14.7524 | + | 2.28227i | −0.835190 | + | 0.129208i | ||||
\(313\) | −13.3593 | + | 23.1390i | −0.755112 | + | 1.30789i | 0.190206 | + | 0.981744i | \(0.439084\pi\) |
−0.945318 | + | 0.326149i | \(0.894249\pi\) | |||||||
\(314\) | 6.53320 | + | 4.49085i | 0.368690 | + | 0.253433i | ||||
\(315\) | −5.79365 | + | 21.0535i | −0.326435 | + | 1.18623i | ||||
\(316\) | 23.4311 | − | 8.99039i | 1.31810 | − | 0.505749i | ||||
\(317\) | 12.5342 | − | 21.7098i | 0.703990 | − | 1.21935i | −0.263065 | − | 0.964778i | \(-0.584733\pi\) |
0.967055 | − | 0.254568i | \(-0.0819332\pi\) | |||||||
\(318\) | 0.725044 | + | 2.25789i | 0.0406584 | + | 0.126616i | ||||
\(319\) | 0.992296 | − | 0.572902i | 0.0555579 | − | 0.0320764i | ||||
\(320\) | −1.44743 | − | 27.8539i | −0.0809139 | − | 1.55708i | ||||
\(321\) | −1.11474 | + | 8.25229i | −0.0622189 | + | 0.460598i | ||||
\(322\) | 3.67699 | − | 1.75350i | 0.204911 | − | 0.0977189i | ||||
\(323\) | − | 3.85842i | − | 0.214688i | ||||||
\(324\) | −16.8908 | + | 6.22100i | −0.938378 | + | 0.345611i | ||||
\(325\) | 21.8030i | 1.20941i | ||||||||
\(326\) | 10.4559 | + | 21.9254i | 0.579100 | + | 1.21434i | ||||
\(327\) | −1.66177 | + | 12.3018i | −0.0918961 | + | 0.680294i | ||||
\(328\) | 5.61851 | − | 1.66293i | 0.310230 | − | 0.0918199i | ||||
\(329\) | −0.744211 | + | 0.429671i | −0.0410297 | + | 0.0236885i | ||||
\(330\) | −1.09837 | + | 0.352703i | −0.0604631 | + | 0.0194157i | ||||
\(331\) | −8.47956 | + | 14.6870i | −0.466079 | + | 0.807272i | −0.999249 | − | 0.0387357i | \(-0.987667\pi\) |
0.533171 | + | 0.846008i | \(0.321000\pi\) | |||||||
\(332\) | −11.2954 | + | 4.33400i | −0.619917 | + | 0.237859i | ||||
\(333\) | −1.28690 | + | 4.67645i | −0.0705217 | + | 0.256268i | ||||
\(334\) | −3.70510 | + | 5.39010i | −0.202734 | + | 0.294933i | ||||
\(335\) | 10.9968 | − | 19.0470i | 0.600818 | − | 1.04065i | ||||
\(336\) | 6.27478 | − | 13.0322i | 0.342317 | − | 0.710966i | ||||
\(337\) | 4.47220 | + | 7.74608i | 0.243616 | + | 0.421956i | 0.961742 | − | 0.273958i | \(-0.0883329\pi\) |
−0.718125 | + | 0.695914i | \(0.755000\pi\) | |||||||
\(338\) | 5.23746 | + | 0.412585i | 0.284880 | + | 0.0224417i | ||||
\(339\) | 0.395836 | − | 0.162400i | 0.0214989 | − | 0.00882035i | ||||
\(340\) | 4.58342 | − | 28.9110i | 0.248571 | − | 1.56792i | ||||
\(341\) | −0.686122 | −0.0371556 | ||||||||
\(342\) | −0.684475 | − | 3.83891i | −0.0370122 | − | 0.207585i | ||||
\(343\) | 20.1286i | 1.08684i | ||||||||
\(344\) | 21.0752 | − | 22.1988i | 1.13630 | − | 1.19688i | ||||
\(345\) | 5.09439 | − | 6.59301i | 0.274273 | − | 0.354956i | ||||
\(346\) | −4.28808 | − | 0.337797i | −0.230529 | − | 0.0181601i | ||||
\(347\) | −4.29330 | + | 2.47874i | −0.230476 | + | 0.133066i | −0.610792 | − | 0.791791i | \(-0.709149\pi\) |
0.380315 | + | 0.924857i | \(0.375815\pi\) | |||||||
\(348\) | 6.75885 | + | 28.5954i | 0.362312 | + | 1.53287i | ||||
\(349\) | −22.9731 | − | 13.2635i | −1.22972 | − | 0.709980i | −0.262749 | − | 0.964864i | \(-0.584629\pi\) |
−0.966972 | + | 0.254884i | \(0.917963\pi\) | |||||||
\(350\) | −17.4094 | − | 11.9670i | −0.930570 | − | 0.639664i | ||||
\(351\) | −15.7181 | + | 1.90784i | −0.838968 | + | 0.101833i | ||||
\(352\) | 0.757644 | − | 0.0994621i | 0.0403825 | − | 0.00530135i | ||||
\(353\) | −28.7458 | − | 16.5964i | −1.52998 | − | 0.883337i | −0.999362 | − | 0.0357291i | \(-0.988625\pi\) |
−0.530623 | − | 0.847608i | \(-0.678042\pi\) | |||||||
\(354\) | 8.14629 | + | 7.38592i | 0.432971 | + | 0.392557i | ||||
\(355\) | −20.8640 | − | 36.1375i | −1.10735 | − | 1.91798i | ||||
\(356\) | −12.9900 | − | 10.5222i | −0.688467 | − | 0.557678i | ||||
\(357\) | 9.28161 | − | 12.0120i | 0.491235 | − | 0.635741i | ||||
\(358\) | −22.9764 | + | 10.9571i | −1.21434 | + | 0.579102i | ||||
\(359\) | 20.6138 | 1.08795 | 0.543977 | − | 0.839100i | \(-0.316918\pi\) | ||||
0.543977 | + | 0.839100i | \(0.316918\pi\) | |||||||
\(360\) | −0.568505 | − | 29.5779i | −0.0299629 | − | 1.55889i | ||||
\(361\) | −18.1552 | −0.955539 | ||||||||
\(362\) | −20.3610 | + | 9.70986i | −1.07015 | + | 0.510339i | ||||
\(363\) | 7.21973 | + | 17.5975i | 0.378938 | + | 0.923629i | ||||
\(364\) | 8.00840 | − | 9.88658i | 0.419754 | − | 0.518198i | ||||
\(365\) | 7.08207 | + | 12.2665i | 0.370693 | + | 0.642058i | ||||
\(366\) | −4.44936 | + | 20.5838i | −0.232572 | + | 1.07593i | ||||
\(367\) | −10.1478 | − | 5.85881i | −0.529708 | − | 0.305827i | 0.211189 | − | 0.977445i | \(-0.432266\pi\) |
−0.740898 | + | 0.671618i | \(0.765600\pi\) | |||||||
\(368\) | −4.10251 | + | 3.69174i | −0.213858 | + | 0.192445i | ||||
\(369\) | 6.01381 | − | 1.56802i | 0.313067 | − | 0.0816281i | ||||
\(370\) | −6.56923 | − | 4.51562i | −0.341518 | − | 0.234756i | ||||
\(371\) | −1.75041 | − | 1.01060i | −0.0908767 | − | 0.0524677i | ||||
\(372\) | 5.05659 | − | 16.8528i | 0.262172 | − | 0.873778i | ||||
\(373\) | 3.02771 | − | 1.74805i | 0.156769 | − | 0.0905105i | −0.419563 | − | 0.907726i | \(-0.637817\pi\) |
0.576332 | + | 0.817216i | \(0.304483\pi\) | |||||||
\(374\) | 0.799492 | + | 0.0629806i | 0.0413408 | + | 0.00325665i | ||||
\(375\) | −12.8976 | − | 1.74225i | −0.666031 | − | 0.0899695i | ||||
\(376\) | 0.801589 | − | 0.844325i | 0.0413388 | − | 0.0435427i | ||||
\(377\) | 25.8466i | 1.33117i | ||||||||
\(378\) | 7.10378 | − | 13.5978i | 0.365379 | − | 0.699394i | ||||
\(379\) | 20.1604 | 1.03557 | 0.517785 | − | 0.855511i | \(-0.326757\pi\) | ||||
0.517785 | + | 0.855511i | \(0.326757\pi\) | |||||||
\(380\) | 6.32979 | + | 1.00350i | 0.324711 | + | 0.0514782i | ||||
\(381\) | 4.08721 | − | 30.2571i | 0.209394 | − | 1.55012i | ||||
\(382\) | 6.25869 | + | 0.493033i | 0.320222 | + | 0.0252258i | ||||
\(383\) | −5.33120 | − | 9.23391i | −0.272412 | − | 0.471831i | 0.697067 | − | 0.717006i | \(-0.254488\pi\) |
−0.969479 | + | 0.245175i | \(0.921155\pi\) | |||||||
\(384\) | −3.14066 | + | 19.3426i | −0.160271 | + | 0.987073i | ||||
\(385\) | 0.491614 | − | 0.851501i | 0.0250550 | − | 0.0433965i | ||||
\(386\) | 1.07967 | − | 1.57068i | 0.0549537 | − | 0.0799455i | ||||
\(387\) | 23.1114 | − | 22.8019i | 1.17482 | − | 1.15909i | ||||
\(388\) | −0.683597 | − | 1.78161i | −0.0347044 | − | 0.0904477i | ||||
\(389\) | −8.34122 | + | 14.4474i | −0.422917 | + | 0.732513i | −0.996223 | − | 0.0868277i | \(-0.972327\pi\) |
0.573307 | + | 0.819341i | \(0.305660\pi\) | |||||||
\(390\) | 5.49803 | − | 25.4351i | 0.278404 | − | 1.28796i | ||||
\(391\) | −5.01619 | + | 2.89610i | −0.253680 | + | 0.146462i | ||||
\(392\) | −2.12032 | − | 7.16388i | −0.107092 | − | 0.361831i | ||||
\(393\) | 23.6475 | − | 9.70188i | 1.19286 | − | 0.489395i | ||||
\(394\) | 5.58115 | + | 11.7033i | 0.281174 | + | 0.589605i | ||||
\(395\) | 43.7489i | 2.20125i | ||||||||
\(396\) | 0.806622 | − | 0.0791659i | 0.0405343 | − | 0.00397823i | ||||
\(397\) | 22.9869i | 1.15368i | 0.816857 | + | 0.576840i | \(0.195715\pi\) | ||||
−0.816857 | + | 0.576840i | \(0.804285\pi\) | |||||||
\(398\) | −30.6664 | + | 14.6244i | −1.53717 | + | 0.733053i | ||||
\(399\) | 2.62991 | + | 2.03212i | 0.131660 | + | 0.101733i | ||||
\(400\) | 27.2175 | + | 8.85237i | 1.36088 | + | 0.442618i | ||||
\(401\) | 27.3094 | − | 15.7671i | 1.36377 | − | 0.787371i | 0.373644 | − | 0.927572i | \(-0.378108\pi\) |
0.990123 | + | 0.140201i | \(0.0447747\pi\) | |||||||
\(402\) | −10.3790 | + | 11.4475i | −0.517657 | + | 0.570950i | ||||
\(403\) | 7.73862 | − | 13.4037i | 0.385488 | − | 0.667685i | ||||
\(404\) | 7.67940 | + | 20.0143i | 0.382064 | + | 0.995749i | ||||
\(405\) | 0.423023 | − | 31.3751i | 0.0210202 | − | 1.55904i | ||||
\(406\) | −20.6381 | − | 14.1864i | −1.02425 | − | 0.704058i | ||||
\(407\) | 0.109199 | − | 0.189137i | 0.00541277 | − | 0.00937519i | ||||
\(408\) | −7.43906 | + | 19.1733i | −0.368288 | + | 0.949221i | ||||
\(409\) | 3.59259 | + | 6.22255i | 0.177642 | + | 0.307686i | 0.941073 | − | 0.338205i | \(-0.109820\pi\) |
−0.763430 | + | 0.645890i | \(0.776486\pi\) | |||||||
\(410\) | −0.802152 | + | 10.1827i | −0.0396155 | + | 0.502889i | ||||
\(411\) | −23.5156 | − | 18.1704i | −1.15994 | − | 0.896279i | ||||
\(412\) | 2.69783 | − | 17.0172i | 0.132913 | − | 0.838378i | ||||
\(413\) | −9.37205 | −0.461169 | ||||||||
\(414\) | −4.47707 | + | 3.77132i | −0.220036 | + | 0.185350i | ||||
\(415\) | − | 21.0901i | − | 1.03527i | ||||||
\(416\) | −6.60227 | + | 15.9227i | −0.323703 | + | 0.780675i | ||||
\(417\) | 0.799253 | + | 1.94811i | 0.0391396 | + | 0.0953995i | ||||
\(418\) | −0.0137890 | + | 0.175041i | −0.000674442 | + | 0.00856154i | ||||
\(419\) | −12.5999 | + | 7.27453i | −0.615543 | + | 0.355384i | −0.775132 | − | 0.631800i | \(-0.782317\pi\) |
0.159589 | + | 0.987184i | \(0.448983\pi\) | |||||||
\(420\) | 17.2918 | + | 18.3507i | 0.843756 | + | 0.895420i | ||||
\(421\) | −9.38587 | − | 5.41893i | −0.457439 | − | 0.264103i | 0.253528 | − | 0.967328i | \(-0.418409\pi\) |
−0.710967 | + | 0.703225i | \(0.751742\pi\) | |||||||
\(422\) | 16.2264 | − | 23.6059i | 0.789890 | − | 1.14912i | ||||
\(423\) | 0.879038 | − | 0.867266i | 0.0427403 | − | 0.0421679i | ||||
\(424\) | 2.66250 | + | 0.639832i | 0.129303 | + | 0.0310730i | ||||
\(425\) | 26.0134 | + | 15.0188i | 1.26183 | + | 0.728520i | ||||
\(426\) | 8.96341 | + | 27.9133i | 0.434278 | + | 1.35240i | ||||
\(427\) | −8.97444 | − | 15.5442i | −0.434304 | − | 0.752236i | ||||
\(428\) | 7.47173 | + | 6.05231i | 0.361160 | + | 0.292550i | ||||
\(429\) | 0.706525 | + | 0.0954394i | 0.0341113 | + | 0.00460786i | ||||
\(430\) | 22.9682 | + | 48.1629i | 1.10762 | + | 2.32262i | ||||
\(431\) | 10.8604 | 0.523129 | 0.261565 | − | 0.965186i | \(-0.415762\pi\) | ||||
0.261565 | + | 0.965186i | \(0.415762\pi\) | |||||||
\(432\) | −4.00014 | + | 20.3960i | −0.192457 | + | 0.981305i | ||||
\(433\) | 9.41382 | 0.452399 | 0.226200 | − | 0.974081i | \(-0.427370\pi\) | ||||
0.226200 | + | 0.974081i | \(0.427370\pi\) | |||||||
\(434\) | 6.45513 | + | 13.5360i | 0.309856 | + | 0.649750i | ||||
\(435\) | −50.7605 | − | 6.85687i | −2.43378 | − | 0.328762i | ||||
\(436\) | 11.1383 | + | 9.02229i | 0.533426 | + | 0.432090i | ||||
\(437\) | −0.634073 | − | 1.09825i | −0.0303318 | − | 0.0525363i | ||||
\(438\) | −3.04254 | − | 9.47488i | −0.145378 | − | 0.452727i | ||||
\(439\) | 9.25745 | + | 5.34479i | 0.441834 | + | 0.255093i | 0.704375 | − | 0.709828i | \(-0.251227\pi\) |
−0.262541 | + | 0.964921i | \(0.584561\pi\) | |||||||
\(440\) | −0.311252 | + | 1.29520i | −0.0148383 | + | 0.0617461i | ||||
\(441\) | −1.99931 | − | 7.66791i | −0.0952052 | − | 0.365139i | ||||
\(442\) | −10.2477 | + | 14.9081i | −0.487431 | + | 0.709105i | ||||
\(443\) | 18.9818 | + | 10.9592i | 0.901854 | + | 0.520686i | 0.877801 | − | 0.479025i | \(-0.159010\pi\) |
0.0240526 | + | 0.999711i | \(0.492343\pi\) | |||||||
\(444\) | 3.84090 | + | 4.07609i | 0.182281 | + | 0.193443i | ||||
\(445\) | 25.2371 | − | 14.5707i | 1.19635 | − | 0.690715i | ||||
\(446\) | −0.0668299 | + | 0.848356i | −0.00316449 | + | 0.0401708i | ||||
\(447\) | −5.86897 | − | 14.3051i | −0.277593 | − | 0.676609i | ||||
\(448\) | −9.09025 | − | 14.0113i | −0.429474 | − | 0.661971i | ||||
\(449\) | − | 18.7436i | − | 0.884565i | −0.896876 | − | 0.442282i | \(-0.854169\pi\) | ||
0.896876 | − | 0.442282i | \(-0.145831\pi\) | |||||||
\(450\) | 28.5461 | + | 10.3282i | 1.34568 | + | 0.486875i | ||||
\(451\) | −0.279841 | −0.0131772 | ||||||||
\(452\) | 0.0773574 | − | 0.487951i | 0.00363859 | − | 0.0229513i | ||||
\(453\) | −29.9827 | − | 23.1675i | −1.40871 | − | 1.08850i | ||||
\(454\) | 1.18461 | − | 15.0377i | 0.0555963 | − | 0.705754i | ||||
\(455\) | 11.0896 | + | 19.2078i | 0.519890 | + | 0.900475i | ||||
\(456\) | −4.19781 | − | 1.62871i | −0.196581 | − | 0.0762714i | ||||
\(457\) | −0.00912370 | + | 0.0158027i | −0.000426789 | + | 0.000739220i | −0.866239 | − | 0.499630i | \(-0.833469\pi\) |
0.865812 | + | 0.500370i | \(0.166803\pi\) | |||||||
\(458\) | −29.8177 | − | 20.4964i | −1.39329 | − | 0.957732i | ||||
\(459\) | −8.55098 | + | 20.0675i | −0.399126 | + | 0.936673i | ||||
\(460\) | −3.44648 | − | 8.98234i | −0.160693 | − | 0.418804i | ||||
\(461\) | 1.25915 | − | 2.18091i | 0.0586444 | − | 0.101575i | −0.835213 | − | 0.549927i | \(-0.814656\pi\) |
0.893857 | + | 0.448352i | \(0.147989\pi\) | |||||||
\(462\) | −0.463997 | + | 0.511765i | −0.0215871 | + | 0.0238095i | ||||
\(463\) | −23.9003 | + | 13.7988i | −1.11074 | + | 0.641286i | −0.939021 | − | 0.343860i | \(-0.888265\pi\) |
−0.171719 | + | 0.985146i | \(0.554932\pi\) | |||||||
\(464\) | 32.2652 | + | 10.4941i | 1.49788 | + | 0.487177i | ||||
\(465\) | 24.2707 | + | 18.7539i | 1.12553 | + | 0.869690i | ||||
\(466\) | 6.01338 | − | 2.86769i | 0.278565 | − | 0.132843i | ||||
\(467\) | − | 28.4629i | − | 1.31711i | −0.752533 | − | 0.658554i | \(-0.771168\pi\) | ||
0.752533 | − | 0.658554i | \(-0.228832\pi\) | |||||||
\(468\) | −7.55118 | + | 16.6506i | −0.349053 | + | 0.769675i | ||||
\(469\) | − | 13.1700i | − | 0.608134i | ||||||
\(470\) | 0.873590 | + | 1.83187i | 0.0402957 | + | 0.0844977i | ||||
\(471\) | 8.98294 | − | 3.68543i | 0.413912 | − | 0.169816i | ||||
\(472\) | 12.1751 | − | 3.60351i | 0.560405 | − | 0.165865i | ||||
\(473\) | −1.26603 | + | 0.730942i | −0.0582121 | + | 0.0336088i | ||||
\(474\) | 6.49409 | − | 30.0431i | 0.298283 | − | 1.37993i | ||||
\(475\) | −3.28823 | + | 5.69538i | −0.150874 | + | 0.261322i | ||||
\(476\) | −6.27924 | − | 16.3652i | −0.287808 | − | 0.750097i | ||||
\(477\) | 2.80031 | + | 0.770611i | 0.128218 | + | 0.0352839i | ||||
\(478\) | 12.0331 | − | 17.5056i | 0.550383 | − | 0.800686i | ||||
\(479\) | −19.1602 | + | 33.1865i | −0.875454 | + | 1.51633i | −0.0191747 | + | 0.999816i | \(0.506104\pi\) |
−0.856279 | + | 0.516514i | \(0.827229\pi\) | |||||||
\(480\) | −29.5193 | − | 17.1905i | −1.34737 | − | 0.784633i | ||||
\(481\) | 2.46325 | + | 4.26648i | 0.112315 | + | 0.194535i | ||||
\(482\) | −36.2982 | − | 2.85942i | −1.65334 | − | 0.130243i | ||||
\(483\) | 0.667895 | − | 4.94434i | 0.0303903 | − | 0.224975i | ||||
\(484\) | 21.6926 | + | 3.43904i | 0.986027 | + | 0.156320i | ||||
\(485\) | 3.32651 | 0.151049 | ||||||||
\(486\) | −4.94781 | + | 21.4830i | −0.224437 | + | 0.974489i | ||||
\(487\) | − | 2.25659i | − | 0.102256i | −0.998692 | − | 0.0511280i | \(-0.983718\pi\) | ||
0.998692 | − | 0.0511280i | \(-0.0162817\pi\) | |||||||
\(488\) | 17.6352 | + | 16.7426i | 0.798310 | + | 0.757903i | ||||
\(489\) | 29.4825 | + | 3.98258i | 1.33324 | + | 0.180098i | ||||
\(490\) | 12.9835 | + | 1.02278i | 0.586534 | + | 0.0462047i | ||||
\(491\) | −17.7659 | + | 10.2572i | −0.801765 | + | 0.462899i | −0.844088 | − | 0.536205i | \(-0.819858\pi\) |
0.0423228 | + | 0.999104i | \(0.486524\pi\) | |||||||
\(492\) | 2.06238 | − | 6.87358i | 0.0929791 | − | 0.309885i | ||||
\(493\) | 30.8377 | + | 17.8042i | 1.38886 | + | 0.801860i | ||||
\(494\) | −3.26398 | − | 2.24362i | −0.146853 | − | 0.100945i | ||||
\(495\) | −0.374870 | + | 1.36224i | −0.0168492 | + | 0.0612279i | ||||
\(496\) | −13.5903 | − | 15.1025i | −0.610223 | − | 0.678123i | ||||
\(497\) | −21.6396 | − | 12.4936i | −0.970667 | − | 0.560415i | ||||
\(498\) | −3.13061 | + | 14.4829i | −0.140286 | + | 0.648995i | ||||
\(499\) | 1.87815 | + | 3.25306i | 0.0840777 | + | 0.145627i | 0.904998 | − | 0.425416i | \(-0.139872\pi\) |
−0.820920 | + | 0.571043i | \(0.806539\pi\) | |||||||
\(500\) | −9.45926 | + | 11.6777i | −0.423031 | + | 0.522243i | ||||
\(501\) | 3.04060 | + | 7.41121i | 0.135844 | + | 0.331109i | ||||
\(502\) | 6.77098 | − | 3.22898i | 0.302204 | − | 0.144116i | ||||
\(503\) | 33.3322 | 1.48621 | 0.743104 | − | 0.669175i | \(-0.233353\pi\) | ||||
0.743104 | + | 0.669175i | \(0.233353\pi\) | |||||||
\(504\) | −9.15063 | − | 15.1685i | −0.407601 | − | 0.675659i | ||||
\(505\) | −37.3694 | −1.66292 | ||||||||
\(506\) | 0.237914 | − | 0.113458i | 0.0105766 | − | 0.00504382i | ||||
\(507\) | 3.93421 | − | 5.09154i | 0.174725 | − | 0.226123i | ||||
\(508\) | −27.3952 | − | 22.1908i | −1.21546 | − | 0.984559i | ||||
\(509\) | −3.41788 | − | 5.91994i | −0.151495 | − | 0.262397i | 0.780282 | − | 0.625427i | \(-0.215075\pi\) |
−0.931777 | + | 0.363031i | \(0.881742\pi\) | |||||||
\(510\) | −26.5596 | − | 24.0805i | −1.17608 | − | 1.06630i | ||||
\(511\) | 7.34533 | + | 4.24083i | 0.324938 | + | 0.187603i | ||||
\(512\) | 17.1963 | + | 14.7067i | 0.759976 | + | 0.649951i | ||||
\(513\) | −4.39359 | − | 1.87216i | −0.193982 | − | 0.0826577i | ||||
\(514\) | 28.9310 | + | 19.8868i | 1.27609 | + | 0.877171i | ||||
\(515\) | 26.0112 | + | 15.0176i | 1.14619 | + | 0.661754i | ||||
\(516\) | −8.62334 | − | 36.4837i | −0.379621 | − | 1.60610i | ||||
\(517\) | −0.0481531 | + | 0.0278012i | −0.00211777 | + | 0.00122270i | ||||
\(518\) | −4.75872 | − | 0.374872i | −0.209086 | − | 0.0164709i | ||||
\(519\) | −3.22107 | + | 4.16861i | −0.141389 | + | 0.182982i | ||||
\(520\) | −21.7917 | − | 20.6887i | −0.955629 | − | 0.907259i | ||||
\(521\) | − | 19.9468i | − | 0.873887i | −0.899489 | − | 0.436943i | \(-0.856061\pi\) | ||
0.899489 | − | 0.436943i | \(-0.143939\pi\) | |||||||
\(522\) | 33.8402 | + | 12.2436i | 1.48115 | + | 0.535888i | ||||
\(523\) | −5.50358 | −0.240655 | −0.120327 | − | 0.992734i | \(-0.538394\pi\) | ||||
−0.120327 | + | 0.992734i | \(0.538394\pi\) | |||||||
\(524\) | 4.62138 | − | 29.1505i | 0.201886 | − | 1.27345i | ||||
\(525\) | −23.9373 | + | 9.82077i | −1.04471 | + | 0.428614i | ||||
\(526\) | −28.0802 | − | 2.21204i | −1.22435 | − | 0.0964493i | ||||
\(527\) | −10.6614 | − | 18.4660i | −0.464416 | − | 0.804392i | ||||
\(528\) | 0.406001 | − | 0.843231i | 0.0176689 | − | 0.0366969i | ||||
\(529\) | 10.5481 | − | 18.2699i | 0.458615 | − | 0.794344i | ||||
\(530\) | −2.70401 | + | 3.93374i | −0.117455 | + | 0.170871i | ||||
\(531\) | 13.0317 | − | 3.39785i | 0.565528 | − | 0.147454i | ||||
\(532\) | 3.58300 | − | 1.37478i | 0.155343 | − | 0.0596042i | ||||
\(533\) | 3.15627 | − | 5.46682i | 0.136713 | − | 0.236794i | ||||
\(534\) | −19.4936 | + | 6.25972i | −0.843572 | + | 0.270885i | ||||
\(535\) | −14.5162 | + | 8.38093i | −0.627590 | + | 0.362339i | ||||
\(536\) | 5.06380 | + | 17.1090i | 0.218723 | + | 0.738995i | ||||
\(537\) | −4.17348 | + | 30.8957i | −0.180099 | + | 1.33325i | ||||
\(538\) | 1.43383 | + | 3.00665i | 0.0618168 | + | 0.129626i | ||||
\(539\) | 0.356811i | 0.0153690i | ||||||||
\(540\) | −30.6971 | − | 19.2471i | −1.32099 | − | 0.828265i | ||||
\(541\) | 12.1375i | 0.521831i | 0.965362 | + | 0.260915i | \(0.0840243\pi\) | ||||
−0.965362 | + | 0.260915i | \(0.915976\pi\) | |||||||
\(542\) | 15.4167 | − | 7.35199i | 0.662203 | − | 0.315795i | ||||
\(543\) | −3.69841 | + | 27.3788i | −0.158714 | + | 1.17494i | ||||
\(544\) | 14.4496 | + | 18.8454i | 0.619522 | + | 0.807992i | ||||
\(545\) | −21.6396 | + | 12.4936i | −0.926937 | + | 0.535167i | ||||
\(546\) | −4.76423 | − | 14.8365i | −0.203890 | − | 0.634942i | ||||
\(547\) | 5.02439 | − | 8.70250i | 0.214827 | − | 0.372092i | −0.738392 | − | 0.674372i | \(-0.764414\pi\) |
0.953219 | + | 0.302280i | \(0.0977477\pi\) | |||||||
\(548\) | −32.0377 | + | 12.2927i | −1.36858 | + | 0.525119i | ||||
\(549\) | 18.1144 | + | 18.3603i | 0.773104 | + | 0.783598i | ||||
\(550\) | −1.12645 | − | 0.774308i | −0.0480319 | − | 0.0330166i | ||||
\(551\) | −3.89805 | + | 6.75163i | −0.166063 | + | 0.287629i | ||||
\(552\) | 1.03342 | + | 6.67992i | 0.0439852 | + | 0.284316i | ||||
\(553\) | 13.0987 | + | 22.6876i | 0.557013 | + | 0.964775i | ||||
\(554\) | 1.86599 | − | 23.6873i | 0.0792782 | − | 1.00638i | ||||
\(555\) | −9.03249 | + | 3.70576i | −0.383408 | + | 0.157301i | ||||
\(556\) | 2.40146 | + | 0.380715i | 0.101844 | + | 0.0161459i | ||||
\(557\) | −15.4323 | −0.653887 | −0.326944 | − | 0.945044i | \(-0.606019\pi\) | ||||
−0.326944 | + | 0.945044i | \(0.606019\pi\) | |||||||
\(558\) | −13.8833 | − | 16.4813i | −0.587726 | − | 0.697711i | ||||
\(559\) | − | 32.9766i | − | 1.39476i | ||||||
\(560\) | 28.4804 | − | 6.04493i | 1.20352 | − | 0.255445i | ||||
\(561\) | 0.600553 | − | 0.777218i | 0.0253554 | − | 0.0328142i | ||||
\(562\) | 1.53703 | − | 19.5115i | 0.0648358 | − | 0.823043i | ||||
\(563\) | 5.08901 | − | 2.93814i | 0.214476 | − | 0.123828i | −0.388914 | − | 0.921274i | \(-0.627150\pi\) |
0.603390 | + | 0.797446i | \(0.293816\pi\) | |||||||
\(564\) | −0.327987 | − | 1.38765i | −0.0138107 | − | 0.0584305i | ||||
\(565\) | 0.745845 | + | 0.430614i | 0.0313779 | + | 0.0181161i | ||||
\(566\) | 4.13567 | − | 6.01649i | 0.173835 | − | 0.252892i | ||||
\(567\) | −9.17451 | − | 16.3973i | −0.385293 | − | 0.688624i | ||||
\(568\) | 32.9154 | + | 7.90997i | 1.38110 | + | 0.331895i | ||||
\(569\) | −28.3228 | − | 16.3522i | −1.18735 | − | 0.685519i | −0.229650 | − | 0.973273i | \(-0.573758\pi\) |
−0.957704 | + | 0.287754i | \(0.907091\pi\) | |||||||
\(570\) | 5.27220 | − | 5.81497i | 0.220828 | − | 0.243562i | ||||
\(571\) | 16.4253 | + | 28.4495i | 0.687377 | + | 1.19057i | 0.972683 | + | 0.232136i | \(0.0745715\pi\) |
−0.285306 | + | 0.958437i | \(0.592095\pi\) | |||||||
\(572\) | 0.518172 | − | 0.639697i | 0.0216659 | − | 0.0267471i | ||||
\(573\) | 4.70133 | − | 6.08432i | 0.196401 | − | 0.254176i | ||||
\(574\) | 2.63279 | + | 5.52080i | 0.109890 | + | 0.230434i | ||||
\(575\) | 9.87246 | 0.411710 | ||||||||
\(576\) | 17.7197 | + | 16.1868i | 0.738320 | + | 0.674451i | ||||
\(577\) | −16.7158 | −0.695887 | −0.347943 | − | 0.937516i | \(-0.613120\pi\) | ||||
−0.347943 | + | 0.937516i | \(0.613120\pi\) | |||||||
\(578\) | 0.379353 | + | 0.795481i | 0.0157790 | + | 0.0330876i | ||||
\(579\) | −0.886034 | − | 2.15964i | −0.0368223 | − | 0.0897514i | ||||
\(580\) | −37.2282 | + | 45.9592i | −1.54582 | + | 1.90835i | ||||
\(581\) | −6.31450 | − | 10.9370i | −0.261970 | − | 0.453745i | ||||
\(582\) | −2.28437 | − | 0.493787i | −0.0946902 | − | 0.0204681i | ||||
\(583\) | −0.113258 | − | 0.0653894i | −0.00469066 | − | 0.00270815i | ||||
\(584\) | −11.1728 | − | 2.68496i | −0.462334 | − | 0.111104i | ||||
\(585\) | −22.3838 | − | 22.6876i | −0.925455 | − | 0.938017i | ||||
\(586\) | 8.68208 | − | 12.6305i | 0.358653 | − | 0.521762i | ||||
\(587\) | −23.7005 | − | 13.6835i | −0.978222 | − | 0.564777i | −0.0764895 | − | 0.997070i | \(-0.524371\pi\) |
−0.901733 | + | 0.432293i | \(0.857704\pi\) | |||||||
\(588\) | −8.76416 | − | 2.62963i | −0.361428 | − | 0.108444i | ||||
\(589\) | 4.04296 | − | 2.33420i | 0.166587 | − | 0.0961791i | ||||
\(590\) | −1.73823 | + | 22.0656i | −0.0715620 | + | 0.908426i | ||||
\(591\) | 15.7371 | + | 2.12582i | 0.647338 | + | 0.0874444i | ||||
\(592\) | 6.32612 | − | 1.34271i | 0.260002 | − | 0.0551852i | ||||
\(593\) | 25.6865i | 1.05482i | 0.849612 | + | 0.527408i | \(0.176836\pi\) | ||||
−0.849612 | + | 0.527408i | \(0.823164\pi\) | |||||||
\(594\) | 0.459640 | − | 0.879824i | 0.0188592 | − | 0.0360996i | ||||
\(595\) | 30.5560 | 1.25267 | ||||||||
\(596\) | −17.6341 | − | 2.79562i | −0.722319 | − | 0.114513i | ||||
\(597\) | −5.57031 | + | 41.2362i | −0.227977 | + | 1.68768i | ||||
\(598\) | −0.466937 | + | 5.92743i | −0.0190945 | + | 0.242390i | ||||
\(599\) | −19.9859 | − | 34.6166i | −0.816601 | − | 1.41439i | −0.908173 | − | 0.418596i | \(-0.862522\pi\) |
0.0915718 | − | 0.995798i | \(-0.470811\pi\) | |||||||
\(600\) | 27.3206 | − | 21.9618i | 1.11536 | − | 0.896587i | ||||
\(601\) | 2.01867 | − | 3.49645i | 0.0823434 | − | 0.142623i | −0.821913 | − | 0.569613i | \(-0.807093\pi\) |
0.904256 | + | 0.426991i | \(0.140426\pi\) | |||||||
\(602\) | 26.3313 | + | 18.0998i | 1.07318 | + | 0.737694i | ||||
\(603\) | 4.77480 | + | 18.3127i | 0.194445 | + | 0.745751i | ||||
\(604\) | −40.8486 | + | 15.6734i | −1.66210 | + | 0.637742i | ||||
\(605\) | −19.1436 | + | 33.1577i | −0.778298 | + | 1.34805i | ||||
\(606\) | 25.6622 | + | 5.54711i | 1.04246 | + | 0.225336i | ||||
\(607\) | 11.2251 | − | 6.48081i | 0.455612 | − | 0.263048i | −0.254585 | − | 0.967050i | \(-0.581939\pi\) |
0.710198 | + | 0.704002i | \(0.248606\pi\) | |||||||
\(608\) | −4.12603 | + | 3.16360i | −0.167332 | + | 0.128301i | ||||
\(609\) | −28.3767 | + | 11.6421i | −1.14988 | + | 0.471762i | ||||
\(610\) | −38.2618 | + | 18.2465i | −1.54918 | + | 0.738779i | ||||
\(611\) | − | 1.25426i | − | 0.0507418i | ||||||
\(612\) | 14.6644 | + | 20.4790i | 0.592774 | + | 0.827814i | ||||
\(613\) | 22.0890i | 0.892167i | 0.894991 | + | 0.446084i | \(0.147182\pi\) | ||||
−0.894991 | + | 0.446084i | \(0.852818\pi\) | |||||||
\(614\) | −10.1386 | − | 21.2601i | −0.409162 | − | 0.857989i | ||||
\(615\) | 9.89903 | + | 7.64894i | 0.399168 | + | 0.308435i | ||||
\(616\) | 0.226379 | + | 0.764862i | 0.00912106 | + | 0.0308172i | ||||
\(617\) | 20.0171 | − | 11.5569i | 0.805859 | − | 0.465263i | −0.0396569 | − | 0.999213i | \(-0.512626\pi\) |
0.845516 | + | 0.533951i | \(0.179293\pi\) | |||||||
\(618\) | −15.6331 | − | 14.1739i | −0.628857 | − | 0.570160i | ||||
\(619\) | −2.24675 | + | 3.89149i | −0.0903046 | + | 0.156412i | −0.907639 | − | 0.419751i | \(-0.862117\pi\) |
0.817335 | + | 0.576163i | \(0.195451\pi\) | |||||||
\(620\) | 33.0665 | − | 12.6875i | 1.32798 | − | 0.509541i | ||||
\(621\) | 0.863876 | + | 7.11718i | 0.0346662 | + | 0.285602i | ||||
\(622\) | 10.3698 | − | 15.0857i | 0.415789 | − | 0.604882i | ||||
\(623\) | 8.72509 | − | 15.1123i | 0.349563 | − | 0.605461i | ||||
\(624\) | 11.8937 | + | 17.4420i | 0.476129 | + | 0.698240i | ||||
\(625\) | 4.78939 | + | 8.29547i | 0.191576 | + | 0.331819i | ||||
\(626\) | 37.6691 | + | 2.96741i | 1.50556 | + | 0.118602i | ||||
\(627\) | 0.170164 | + | 0.131485i | 0.00679571 | + | 0.00525102i | ||||
\(628\) | 1.75552 | − | 11.0734i | 0.0700528 | − | 0.441875i | ||||
\(629\) | 6.78716 | 0.270622 | ||||||||
\(630\) | 30.4015 | − | 5.42056i | 1.21122 | − | 0.215960i | ||||
\(631\) | − | 30.8693i | − | 1.22889i | −0.788961 | − | 0.614443i | \(-0.789381\pi\) | ||
0.788961 | − | 0.614443i | \(-0.210619\pi\) | |||||||
\(632\) | −25.7396 | − | 24.4368i | −1.02387 | − | 0.972043i | ||||
\(633\) | −13.3163 | − | 32.4573i | −0.529274 | − | 1.29006i | ||||
\(634\) | −35.3425 | − | 2.78413i | −1.40363 | − | 0.110572i | ||||
\(635\) | 53.2237 | − | 30.7287i | 2.11212 | − | 1.21943i | ||||
\(636\) | 2.44081 | − | 2.29998i | 0.0967845 | − | 0.0912001i | ||||
\(637\) | −6.97046 | − | 4.02440i | −0.276180 | − | 0.159452i | ||||
\(638\) | −1.33536 | − | 0.917910i | −0.0528673 | − | 0.0363404i | ||||
\(639\) | 34.6191 | + | 9.52674i | 1.36951 | + | 0.376872i | ||||
\(640\) | −34.6742 | + | 18.8034i | −1.37062 | + | 0.743271i | ||||
\(641\) | 23.7137 | + | 13.6911i | 0.936633 | + | 0.540766i | 0.888903 | − | 0.458095i | \(-0.151468\pi\) |
0.0477300 | + | 0.998860i | \(0.484801\pi\) | |||||||
\(642\) | 11.2126 | − | 3.60054i | 0.442525 | − | 0.142102i | ||||
\(643\) | −19.9857 | − | 34.6162i | −0.788158 | − | 1.36513i | −0.927094 | − | 0.374828i | \(-0.877702\pi\) |
0.138937 | − | 0.990301i | \(-0.455631\pi\) | |||||||
\(644\) | −4.47667 | − | 3.62622i | −0.176405 | − | 0.142893i | ||||
\(645\) | 64.7632 | + | 8.74840i | 2.55005 | + | 0.344468i | ||||
\(646\) | −4.92525 | + | 2.34878i | −0.193781 | + | 0.0924115i | ||||
\(647\) | −30.9768 | −1.21782 | −0.608912 | − | 0.793238i | \(-0.708394\pi\) | ||||
−0.608912 | + | 0.793238i | \(0.708394\pi\) | |||||||
\(648\) | 18.2232 | + | 17.7740i | 0.715874 | + | 0.698229i | ||||
\(649\) | −0.606405 | −0.0238035 | ||||||||
\(650\) | 27.8314 | − | 13.2724i | 1.09164 | − | 0.520586i | ||||
\(651\) | 18.2015 | + | 2.45871i | 0.713372 | + | 0.0963644i | ||||
\(652\) | 21.6227 | − | 26.6938i | 0.846812 | − | 1.04541i | ||||
\(653\) | 2.78891 | + | 4.83053i | 0.109138 | + | 0.189033i | 0.915421 | − | 0.402497i | \(-0.131857\pi\) |
−0.806283 | + | 0.591530i | \(0.798524\pi\) | |||||||
\(654\) | 16.7148 | − | 5.36740i | 0.653601 | − | 0.209882i | ||||
\(655\) | 44.5573 | + | 25.7252i | 1.74100 | + | 1.00517i | ||||
\(656\) | −5.54294 | − | 6.15970i | −0.216415 | − | 0.240496i | ||||
\(657\) | −11.7511 | − | 3.23375i | −0.458454 | − | 0.126161i | ||||
\(658\) | 1.00150 | + | 0.688423i | 0.0390427 | + | 0.0268375i | ||||
\(659\) | −5.69959 | − | 3.29066i | −0.222025 | − | 0.128186i | 0.384863 | − | 0.922974i | \(-0.374249\pi\) |
−0.606887 | + | 0.794788i | \(0.707582\pi\) | |||||||
\(660\) | 1.11884 | + | 1.18735i | 0.0435509 | + | 0.0462176i | ||||
\(661\) | −26.9562 | + | 15.5632i | −1.04847 | + | 0.605337i | −0.922222 | − | 0.386661i | \(-0.873628\pi\) |
−0.126253 | + | 0.991998i | \(0.540295\pi\) | |||||||
\(662\) | 23.9097 | + | 1.88351i | 0.929278 | + | 0.0732046i | ||||
\(663\) | 8.40978 | + | 20.4981i | 0.326609 | + | 0.796082i | ||||
\(664\) | 12.4083 | + | 11.7803i | 0.481536 | + | 0.457163i | ||||
\(665\) | 6.68993i | 0.259425i | ||||||||
\(666\) | 6.75284 | − | 1.20403i | 0.261667 | − | 0.0466551i | ||||
\(667\) | 11.7034 | 0.453157 | ||||||||
\(668\) | 9.13587 | + | 1.44836i | 0.353477 | + | 0.0560386i | ||||
\(669\) | 0.824720 | + | 0.637258i | 0.0318855 | + | 0.0246378i | ||||
\(670\) | −31.0075 | − | 2.44264i | −1.19792 | − | 0.0943674i | ||||
\(671\) | −0.580679 | − | 1.00576i | −0.0224168 | − | 0.0388271i | ||||
\(672\) | −20.4553 | − | 0.0764699i | −0.789079 | − | 0.00294989i | ||||
\(673\) | −3.54087 | + | 6.13297i | −0.136491 | + | 0.236409i | −0.926166 | − | 0.377116i | \(-0.876916\pi\) |
0.789675 | + | 0.613525i | \(0.210249\pi\) | |||||||
\(674\) | 7.16541 | − | 10.4241i | 0.276001 | − | 0.401521i | ||||
\(675\) | 29.7240 | − | 22.3342i | 1.14408 | − | 0.859642i | ||||
\(676\) | −2.66159 | − | 6.93674i | −0.102369 | − | 0.266798i | ||||
\(677\) | 3.18253 | − | 5.51231i | 0.122315 | − | 0.211855i | −0.798365 | − | 0.602173i | \(-0.794302\pi\) |
0.920680 | + | 0.390318i | \(0.127635\pi\) | |||||||
\(678\) | −0.448264 | − | 0.406423i | −0.0172155 | − | 0.0156086i | ||||
\(679\) | 1.72508 | − | 0.995978i | 0.0662026 | − | 0.0382221i | ||||
\(680\) | −39.6948 | + | 11.7486i | −1.52223 | + | 0.450539i | ||||
\(681\) | −14.6187 | − | 11.2958i | −0.560191 | − | 0.432858i | ||||
\(682\) | 0.417670 | + | 0.875829i | 0.0159934 | + | 0.0335372i | ||||
\(683\) | 51.9104i | 1.98630i | 0.116864 | + | 0.993148i | \(0.462716\pi\) | ||||
−0.116864 | + | 0.993148i | \(0.537284\pi\) | |||||||
\(684\) | −4.48368 | + | 3.21063i | −0.171438 | + | 0.122762i | ||||
\(685\) | − | 59.8187i | − | 2.28556i | ||||||
\(686\) | 25.6940 | − | 12.2531i | 0.981002 | − | 0.467825i | ||||
\(687\) | −40.9984 | + | 16.8204i | −1.56419 | + | 0.641739i | ||||
\(688\) | −41.1659 | − | 13.3890i | −1.56943 | − | 0.510451i | ||||
\(689\) | 2.55482 | − | 1.47503i | 0.0973309 | − | 0.0561940i | ||||
\(690\) | −11.5171 | − | 2.48952i | −0.438448 | − | 0.0947745i | ||||
\(691\) | −17.9150 | + | 31.0297i | −0.681519 | + | 1.18043i | 0.292998 | + | 0.956113i | \(0.405347\pi\) |
−0.974517 | + | 0.224313i | \(0.927986\pi\) | |||||||
\(692\) | 2.17913 | + | 5.67933i | 0.0828382 | + | 0.215896i | ||||
\(693\) | 0.213459 | + | 0.818675i | 0.00810864 | + | 0.0310989i | ||||
\(694\) | 5.77760 | + | 3.97146i | 0.219315 | + | 0.150755i | ||||
\(695\) | −2.11927 | + | 3.67068i | −0.0803885 | + | 0.139237i | ||||
\(696\) | 32.3874 | − | 26.0348i | 1.22764 | − | 0.986847i | ||||
\(697\) | −4.34834 | − | 7.53154i | −0.164705 | − | 0.285277i | ||||
\(698\) | −2.94614 | + | 37.3990i | −0.111513 | + | 1.41557i | ||||
\(699\) | 1.09228 | − | 8.08601i | 0.0413139 | − | 0.305841i | ||||
\(700\) | −4.67802 | + | 29.5077i | −0.176813 | + | 1.11529i | ||||
\(701\) | 19.0081 | 0.717927 | 0.358964 | − | 0.933352i | \(-0.383130\pi\) | ||||
0.358964 | + | 0.933352i | \(0.383130\pi\) | |||||||
\(702\) | 12.0036 | + | 18.9026i | 0.453046 | + | 0.713433i | ||||
\(703\) | 1.48598i | 0.0560449i | ||||||||
\(704\) | −0.588171 | − | 0.906580i | −0.0221675 | − | 0.0341680i | ||||
\(705\) | 2.46325 | + | 0.332743i | 0.0927715 | + | 0.0125318i | ||||
\(706\) | −3.68645 | + | 46.7967i | −0.138741 | + | 1.76122i | ||||
\(707\) | −19.3793 | + | 11.1886i | −0.728832 | + | 0.420792i | ||||
\(708\) | 4.46909 | − | 14.8948i | 0.167959 | − | 0.559781i | ||||
\(709\) | −38.5758 | − | 22.2717i | −1.44874 | − | 0.836433i | −0.450337 | − | 0.892859i | \(-0.648696\pi\) |
−0.998407 | + | 0.0564260i | \(0.982030\pi\) | |||||||
\(710\) | −33.4285 | + | 48.6311i | −1.25455 | + | 1.82509i | ||||
\(711\) | −26.4390 | − | 26.7979i | −0.991539 | − | 1.00500i | ||||
\(712\) | −5.52404 | + | 22.9869i | −0.207022 | + | 0.861472i | ||||
\(713\) | −6.06922 | − | 3.50407i | −0.227294 | − | 0.131228i | ||||
\(714\) | −20.9833 | − | 4.53573i | −0.785280 | − | 0.169745i | ||||
\(715\) | 0.717538 | + | 1.24281i | 0.0268344 | + | 0.0464786i | ||||
\(716\) | 27.9734 | + | 22.6592i | 1.04541 | + | 0.846815i | ||||
\(717\) | −9.87504 | − | 24.0696i | −0.368790 | − | 0.898895i | ||||
\(718\) | −12.5485 | − | 26.3134i | −0.468304 | − | 0.982006i | ||||
\(719\) | −40.5385 | −1.51183 | −0.755915 | − | 0.654670i | \(-0.772808\pi\) | ||||
−0.755915 | + | 0.654670i | \(0.772808\pi\) | |||||||
\(720\) | −37.4099 | + | 18.7310i | −1.39419 | + | 0.698062i | ||||
\(721\) | 17.9854 | 0.669813 | ||||||||
\(722\) | 11.0518 | + | 23.1750i | 0.411307 | + | 0.862485i | ||||
\(723\) | −27.2661 | + | 35.2869i | −1.01404 | + | 1.31233i | ||||
\(724\) | 24.7891 | + | 20.0799i | 0.921281 | + | 0.746263i | ||||
\(725\) | −30.3462 | − | 52.5611i | −1.12703 | − | 1.95207i | ||||
\(726\) | 18.0681 | − | 19.9283i | 0.670572 | − | 0.739607i | ||||
\(727\) | −16.5719 | − | 9.56779i | −0.614618 | − | 0.354850i | 0.160153 | − | 0.987092i | \(-0.448801\pi\) |
−0.774770 | + | 0.632243i | \(0.782135\pi\) | |||||||
\(728\) | −17.4952 | − | 4.20431i | −0.648415 | − | 0.155822i | ||||
\(729\) | 18.7019 | + | 19.4740i | 0.692663 | + | 0.721261i | ||||
\(730\) | 11.3470 | − | 16.5073i | 0.419970 | − | 0.610964i | ||||
\(731\) | −39.3446 | − | 22.7156i | −1.45521 | − | 0.840168i | ||||
\(732\) | 28.9835 | − | 6.85059i | 1.07126 | − | 0.253205i | ||||
\(733\) | 25.4597 | − | 14.6992i | 0.940377 | − | 0.542927i | 0.0502985 | − | 0.998734i | \(-0.483983\pi\) |
0.890078 | + | 0.455807i | \(0.150649\pi\) | |||||||
\(734\) | −1.30138 | + | 16.5200i | −0.0480347 | + | 0.609765i | ||||
\(735\) | 9.75278 | − | 12.6218i | 0.359737 | − | 0.465561i | ||||
\(736\) | 7.20984 | + | 2.98952i | 0.265758 | + | 0.110195i | ||||
\(737\) | − | 0.852146i | − | 0.0313892i | ||||||
\(738\) | −5.66242 | − | 6.72207i | −0.208437 | − | 0.247443i | ||||
\(739\) | −0.807511 | −0.0297048 | −0.0148524 | − | 0.999890i | \(-0.504728\pi\) | ||||
−0.0148524 | + | 0.999890i | \(0.504728\pi\) | |||||||
\(740\) | −1.76520 | + | 11.1344i | −0.0648900 | + | 0.409309i | ||||
\(741\) | −4.48787 | + | 1.84124i | −0.164866 | + | 0.0676396i | ||||
\(742\) | −0.224478 | + | 2.84958i | −0.00824084 | + | 0.104611i | ||||
\(743\) | −13.2127 | − | 22.8850i | −0.484725 | − | 0.839569i | 0.515121 | − | 0.857118i | \(-0.327747\pi\) |
−0.999846 | + | 0.0175489i | \(0.994414\pi\) | |||||||
\(744\) | −24.5907 | + | 3.80430i | −0.901537 | + | 0.139473i | ||||
\(745\) | 15.5620 | − | 26.9541i | 0.570146 | − | 0.987521i | ||||
\(746\) | −4.07446 | − | 2.80074i | −0.149177 | − | 0.102542i | ||||
\(747\) | 12.7455 | + | 12.9185i | 0.466332 | + | 0.472662i | ||||
\(748\) | −0.406289 | − | 1.05889i | −0.0148554 | − | 0.0387167i | ||||
\(749\) | −5.01860 | + | 8.69248i | −0.183376 | + | 0.317616i | ||||
\(750\) | 5.62735 | + | 17.5243i | 0.205482 | + | 0.639898i | ||||
\(751\) | −2.08658 | + | 1.20469i | −0.0761405 | + | 0.0439597i | −0.537587 | − | 0.843208i | \(-0.680664\pi\) |
0.461446 | + | 0.887168i | \(0.347331\pi\) | |||||||
\(752\) | −1.56573 | − | 0.509248i | −0.0570965 | − | 0.0185703i | ||||
\(753\) | 1.22989 | − | 9.10473i | 0.0448198 | − | 0.331795i | ||||
\(754\) | 32.9930 | − | 15.7339i | 1.20153 | − | 0.572993i | ||||
\(755\) | − | 76.2698i | − | 2.77574i | ||||||
\(756\) | −21.6818 | − | 0.790404i | −0.788560 | − | 0.0287467i | ||||
\(757\) | − | 3.61528i | − | 0.131400i | −0.997839 | − | 0.0656998i | \(-0.979072\pi\) | ||
0.997839 | − | 0.0656998i | \(-0.0209280\pi\) | |||||||
\(758\) | −12.2725 | − | 25.7346i | −0.445756 | − | 0.934723i | ||||
\(759\) | 0.0432152 | − | 0.319916i | 0.00156861 | − | 0.0116122i | ||||
\(760\) | −2.57225 | − | 8.69080i | −0.0933052 | − | 0.315249i | ||||
\(761\) | 7.79878 | − | 4.50263i | 0.282706 | − | 0.163220i | −0.351942 | − | 0.936022i | \(-0.614479\pi\) |
0.634648 | + | 0.772802i | \(0.281145\pi\) | |||||||
\(762\) | −41.1110 | + | 13.2014i | −1.48929 | + | 0.478237i | ||||
\(763\) | −7.48133 | + | 12.9580i | −0.270842 | + | 0.469112i | ||||
\(764\) | −3.18057 | − | 8.28930i | −0.115069 | − | 0.299896i | ||||
\(765\) | −42.4876 | + | 11.0781i | −1.53614 | + | 0.400530i | ||||
\(766\) | −8.54171 | + | 12.4263i | −0.308624 | + | 0.448981i | ||||
\(767\) | 6.83951 | − | 11.8464i | 0.246961 | − | 0.427748i | ||||
\(768\) | 26.6025 | − | 7.76560i | 0.959937 | − | 0.280217i | ||||
\(769\) | 7.58489 | + | 13.1374i | 0.273518 | + | 0.473747i | 0.969760 | − | 0.244060i | \(-0.0784794\pi\) |
−0.696242 | + | 0.717807i | \(0.745146\pi\) | |||||||
\(770\) | −1.38620 | − | 0.109199i | −0.0499552 | − | 0.00393526i | ||||
\(771\) | 39.7792 | − | 16.3202i | 1.43261 | − | 0.587758i | ||||
\(772\) | −2.66220 | − | 0.422053i | −0.0958147 | − | 0.0151900i | ||||
\(773\) | 31.6926 | 1.13990 | 0.569952 | − | 0.821678i | \(-0.306962\pi\) | ||||
0.569952 | + | 0.821678i | \(0.306962\pi\) | |||||||
\(774\) | −43.1754 | − | 15.6211i | −1.55191 | − | 0.561490i | ||||
\(775\) | 36.3433i | 1.30549i | ||||||||
\(776\) | −1.85808 | + | 1.95715i | −0.0667014 | + | 0.0702575i | ||||
\(777\) | −3.57460 | + | 4.62614i | −0.128238 | + | 0.165962i | ||||
\(778\) | 23.5197 | + | 1.85278i | 0.843221 | + | 0.0664254i | ||||
\(779\) | 1.64896 | − | 0.952026i | 0.0590800 | − | 0.0341099i | ||||
\(780\) | −35.8146 | + | 8.46520i | −1.28237 | + | 0.303103i | ||||
\(781\) | −1.40016 | − | 0.808381i | −0.0501016 | − | 0.0289262i | ||||
\(782\) | 6.75042 | + | 4.64016i | 0.241394 | + | 0.165932i | ||||
\(783\) | 35.2365 | − | 26.4762i | 1.25925 | − | 0.946182i | ||||
\(784\) | −7.85392 | + | 7.06752i | −0.280497 | + | 0.252411i | ||||
\(785\) | 16.9259 | + | 9.77217i | 0.604111 | + | 0.348784i | ||||
\(786\) | −26.7796 | − | 24.2800i | −0.955196 | − | 0.866038i | ||||
\(787\) | 10.3290 | + | 17.8904i | 0.368189 | + | 0.637723i | 0.989283 | − | 0.146014i | \(-0.0466444\pi\) |
−0.621093 | + | 0.783737i | \(0.713311\pi\) | |||||||
\(788\) | 11.5418 | − | 14.2486i | 0.411158 | − | 0.507585i | ||||
\(789\) | −21.0929 | + | 27.2978i | −0.750928 | + | 0.971828i | ||||
\(790\) | 55.8452 | − | 26.6318i | 1.98688 | − | 0.947515i | ||||
\(791\) | 0.515713 | 0.0183367 | ||||||||
\(792\) | −0.592078 | − | 0.981456i | −0.0210386 | − | 0.0348745i | ||||
\(793\) | 26.1974 | 0.930297 | ||||||||
\(794\) | 29.3427 | − | 13.9931i | 1.04133 | − | 0.496596i | ||||
\(795\) | 2.21905 | + | 5.40876i | 0.0787017 | + | 0.191829i | ||||
\(796\) | 37.3358 | + | 30.2430i | 1.32333 | + | 1.07194i | ||||
\(797\) | 17.8453 | + | 30.9089i | 0.632112 | + | 1.09485i | 0.987119 | + | 0.159987i | \(0.0511452\pi\) |
−0.355007 | + | 0.934864i | \(0.615521\pi\) | |||||||
\(798\) | 0.993053 | − | 4.59409i | 0.0351537 | − | 0.162629i | ||||
\(799\) | −1.49646 | − | 0.863984i | −0.0529411 | − | 0.0305655i | ||||
\(800\) | −5.26843 | − | 40.1318i | −0.186267 | − | 1.41887i | ||||
\(801\) | −6.65313 | + | 24.1767i | −0.235077 | + | 0.854243i | ||||
\(802\) | −36.7510 | − | 25.2622i | −1.29772 | − | 0.892040i | ||||
\(803\) | 0.475269 | + | 0.274397i | 0.0167719 | + | 0.00968325i | ||||
\(804\) | 20.9308 | + | 6.28015i | 0.738172 | + | 0.221484i | ||||
\(805\) | 8.69734 | − | 5.02141i | 0.306541 | − | 0.176981i | ||||
\(806\) | −21.8205 | − | 1.71893i | −0.768595 | − | 0.0605466i | ||||
\(807\) | 4.04296 | + | 0.546134i | 0.142319 | + | 0.0192248i | ||||
\(808\) | 20.8734 | − | 21.9862i | 0.734323 | − | 0.773473i | ||||
\(809\) | 18.7528i | 0.659314i | 0.944101 | + | 0.329657i | \(0.106933\pi\) | ||||
−0.944101 | + | 0.329657i | \(0.893067\pi\) | |||||||
\(810\) | −40.3076 | + | 18.5593i | −1.41626 | + | 0.652107i | ||||
\(811\) | −33.9206 | −1.19111 | −0.595556 | − | 0.803314i | \(-0.703068\pi\) | ||||
−0.595556 | + | 0.803314i | \(0.703068\pi\) | |||||||
\(812\) | −5.54559 | + | 34.9802i | −0.194612 | + | 1.22756i | ||||
\(813\) | 2.80031 | − | 20.7303i | 0.0982113 | − | 0.727045i | ||||
\(814\) | −0.307906 | − | 0.0242555i | −0.0107921 | − | 0.000850156i | ||||
\(815\) | 29.9421 | + | 51.8612i | 1.04882 | + | 1.81662i | ||||
\(816\) | 29.0031 | − | 2.17567i | 1.01531 | − | 0.0761638i | ||||
\(817\) | 4.97337 | − | 8.61412i | 0.173996 | − | 0.301370i | ||||
\(818\) | 5.75609 | − | 8.37384i | 0.201257 | − | 0.292785i | ||||
\(819\) | −18.4007 | − | 5.06365i | −0.642974 | − | 0.176938i | ||||
\(820\) | 13.4865 | − | 5.17470i | 0.470969 | − | 0.180708i | ||||
\(821\) | 5.34636 | − | 9.26017i | 0.186589 | − | 0.323182i | −0.757522 | − | 0.652810i | \(-0.773590\pi\) |
0.944111 | + | 0.329628i | \(0.106923\pi\) | |||||||
\(822\) | −8.87949 | + | 41.0785i | −0.309708 | + | 1.43278i | ||||
\(823\) | 33.4172 | − | 19.2934i | 1.16485 | − | 0.672527i | 0.212390 | − | 0.977185i | \(-0.431875\pi\) |
0.952462 | + | 0.304658i | \(0.0985421\pi\) | |||||||
\(824\) | −23.3646 | + | 6.91531i | −0.813946 | + | 0.240906i | ||||
\(825\) | −1.54883 | + | 0.635439i | −0.0539234 | + | 0.0221231i | ||||
\(826\) | 5.70515 | + | 11.9634i | 0.198508 | + | 0.416259i | ||||
\(827\) | − | 0.214418i | − | 0.00745604i | −0.999993 | − | 0.00372802i | \(-0.998813\pi\) | ||
0.999993 | − | 0.00372802i | \(-0.00118667\pi\) | |||||||
\(828\) | 7.53944 | + | 3.41919i | 0.262013 | + | 0.118825i | ||||
\(829\) | 35.5733i | 1.23551i | 0.786369 | + | 0.617757i | \(0.211958\pi\) | ||||
−0.786369 | + | 0.617757i | \(0.788042\pi\) | |||||||
\(830\) | −26.9214 | + | 12.8384i | −0.934454 | + | 0.445627i | ||||
\(831\) | −23.0274 | − | 17.7932i | −0.798812 | − | 0.617239i | ||||
\(832\) | 24.3443 | − | 1.26505i | 0.843987 | − | 0.0438579i | ||||
\(833\) | −9.60309 | + | 5.54434i | −0.332727 | + | 0.192100i | ||||
\(834\) | 2.00021 | − | 2.20614i | 0.0692618 | − | 0.0763922i | ||||
\(835\) | −8.06235 | + | 13.9644i | −0.279009 | + | 0.483258i | ||||
\(836\) | 0.231833 | − | 0.0889531i | 0.00801810 | − | 0.00307651i | ||||
\(837\) | −26.2003 | + | 3.18017i | −0.905615 | + | 0.109923i | ||||
\(838\) | 16.9559 | + | 11.6553i | 0.585733 | + | 0.402627i | ||||
\(839\) | −20.5867 | + | 35.6571i | −0.710730 | + | 1.23102i | 0.253853 | + | 0.967243i | \(0.418302\pi\) |
−0.964583 | + | 0.263778i | \(0.915031\pi\) | |||||||
\(840\) | 12.8982 | − | 33.2437i | 0.445031 | − | 1.14702i | ||||
\(841\) | −21.4741 | − | 37.1942i | −0.740486 | − | 1.28256i | ||||
\(842\) | −1.20367 | + | 15.2797i | −0.0414813 | + | 0.526574i | ||||
\(843\) | −18.9679 | − | 14.6564i | −0.653289 | − | 0.504794i | ||||
\(844\) | −40.0104 | − | 6.34306i | −1.37722 | − | 0.218337i | ||||
\(845\) | 12.9518 | 0.445556 | ||||||||
\(846\) | −1.64217 | − | 0.594146i | −0.0564588 | − | 0.0204272i | ||||
\(847\) | 22.9268i | 0.787775i | ||||||||
\(848\) | −0.804033 | − | 3.78816i | −0.0276106 | − | 0.130086i | ||||
\(849\) | −3.39395 | − | 8.27248i | −0.116480 | − | 0.283911i | ||||
\(850\) | 3.33603 | − | 42.3485i | 0.114425 | − | 1.45254i | ||||
\(851\) | 1.93187 | − | 1.11537i | 0.0662237 | − | 0.0382343i | ||||
\(852\) | 30.1747 | − | 28.4337i | 1.03377 | − | 0.974122i | ||||
\(853\) | 30.9858 | + | 17.8897i | 1.06093 | + | 0.612530i | 0.925690 | − | 0.378282i | \(-0.123485\pi\) |
0.135243 | + | 0.990812i | \(0.456819\pi\) | |||||||
\(854\) | −14.3789 | + | 20.9182i | −0.492037 | + | 0.715806i | ||||
\(855\) | −2.42544 | − | 9.30226i | −0.0829484 | − | 0.318131i | ||||
\(856\) | 3.17739 | − | 13.2219i | 0.108601 | − | 0.451915i | ||||
\(857\) | 26.3688 | + | 15.2241i | 0.900742 | + | 0.520044i | 0.877441 | − | 0.479685i | \(-0.159249\pi\) |
0.0233014 | + | 0.999728i | \(0.492582\pi\) | |||||||
\(858\) | −0.308263 | − | 0.959972i | −0.0105239 | − | 0.0327729i | ||||
\(859\) | −11.7147 | − | 20.2904i | −0.399700 | − | 0.692301i | 0.593989 | − | 0.804473i | \(-0.297552\pi\) |
−0.993689 | + | 0.112172i | \(0.964219\pi\) | |||||||
\(860\) | 47.4980 | − | 58.6375i | 1.61967 | − | 1.99952i | ||||
\(861\) | 7.42364 | + | 1.00281i | 0.252997 | + | 0.0341756i | ||||
\(862\) | −6.61119 | − | 13.8633i | −0.225178 | − | 0.472185i | ||||
\(863\) | 32.2240 | 1.09692 | 0.548458 | − | 0.836178i | \(-0.315215\pi\) | ||||
0.548458 | + | 0.836178i | \(0.315215\pi\) | |||||||
\(864\) | 28.4705 | − | 7.30975i | 0.968585 | − | 0.248683i | ||||
\(865\) | −10.6041 | −0.360549 | ||||||||
\(866\) | −5.73058 | − | 12.0167i | −0.194733 | − | 0.408343i | ||||
\(867\) | 1.06966 | + | 0.144493i | 0.0363275 | + | 0.00490723i | ||||
\(868\) | 13.3491 | − | 16.4799i | 0.453100 | − | 0.559363i | ||||
\(869\) | 0.847532 | + | 1.46797i | 0.0287506 | + | 0.0497974i | ||||
\(870\) | 22.1472 | + | 68.9694i | 0.750861 | + | 2.33828i | ||||
\(871\) | 16.6470 | + | 9.61117i | 0.564063 | + | 0.325662i | ||||
\(872\) | 4.73659 | − | 19.7101i | 0.160401 | − | 0.667470i | ||||
\(873\) | −2.03761 | + | 2.01032i | −0.0689627 | + | 0.0680392i | ||||
\(874\) | −1.01592 | + | 1.47794i | −0.0343640 | + | 0.0499920i | ||||
\(875\) | −13.5856 | − | 7.84366i | −0.459278 | − | 0.265164i | ||||
\(876\) | −10.2425 | + | 9.65152i | −0.346062 | + | 0.326095i | ||||
\(877\) | 1.74081 | − | 1.00506i | 0.0587829 | − | 0.0339384i | −0.470320 | − | 0.882496i | \(-0.655862\pi\) |
0.529103 | + | 0.848557i | \(0.322528\pi\) | |||||||
\(878\) | 1.18720 | − | 15.0707i | 0.0400661 | − | 0.508610i | ||||
\(879\) | −7.12498 | − | 17.3666i | −0.240320 | − | 0.585759i | ||||
\(880\) | 1.84278 | − | 0.391128i | 0.0621201 | − | 0.0131849i | ||||
\(881\) | 21.6545i | 0.729558i | 0.931094 | + | 0.364779i | \(0.118855\pi\) | ||||
−0.931094 | + | 0.364779i | \(0.881145\pi\) | |||||||
\(882\) | −8.57097 | + | 7.21987i | −0.288600 | + | 0.243106i | ||||
\(883\) | −23.3462 | −0.785664 | −0.392832 | − | 0.919610i | \(-0.628505\pi\) | ||||
−0.392832 | + | 0.919610i | \(0.628505\pi\) | |||||||
\(884\) | 25.2682 | + | 4.00591i | 0.849862 | + | 0.134733i | ||||
\(885\) | 21.4508 | + | 16.5750i | 0.721062 | + | 0.557162i | ||||
\(886\) | 2.43429 | − | 30.9015i | 0.0817814 | − | 1.03815i | ||||
\(887\) | 24.4901 | + | 42.4181i | 0.822297 | + | 1.42426i | 0.903968 | + | 0.427600i | \(0.140641\pi\) |
−0.0816710 | + | 0.996659i | \(0.526026\pi\) | |||||||
\(888\) | 2.86498 | − | 7.38417i | 0.0961426 | − | 0.247796i | ||||
\(889\) | 18.4007 | − | 31.8710i | 0.617141 | − | 1.06892i | ||||
\(890\) | −33.9622 | − | 23.3453i | −1.13842 | − | 0.782535i | ||||
\(891\) | −0.593624 | − | 1.06097i | −0.0198871 | − | 0.0355437i | ||||
\(892\) | 1.12360 | − | 0.431121i | 0.0376210 | − | 0.0144350i | ||||
\(893\) | 0.189161 | − | 0.327636i | 0.00633003 | − | 0.0109639i | ||||
\(894\) | −14.6877 | + | 16.1998i | −0.491231 | + | 0.541803i | ||||
\(895\) | −54.3471 | + | 31.3773i | −1.81662 | + | 1.04883i | ||||
\(896\) | −12.3517 | + | 20.1329i | −0.412642 | + | 0.672592i | ||||
\(897\) | 5.76228 | + | 4.45249i | 0.192397 | + | 0.148664i | ||||
\(898\) | −23.9261 | + | 11.4100i | −0.798423 | + | 0.380756i | ||||
\(899\) | 43.0834i | 1.43691i | ||||||||
\(900\) | −4.19335 | − | 42.7261i | −0.139778 | − | 1.42420i | ||||
\(901\) | − | 4.06424i | − | 0.135399i | ||||||
\(902\) | 0.170351 | + | 0.357215i | 0.00567206 | + | 0.0118940i | ||||
\(903\) | 36.2047 | − | 14.8537i | 1.20482 | − | 0.494300i | ||||
\(904\) | −0.669956 | + | 0.198289i | −0.0222824 | + | 0.00659500i | ||||
\(905\) | −48.1607 | + | 27.8056i | −1.60092 | + | 0.924289i | ||||
\(906\) | −11.3215 | + | 52.3757i | −0.376131 | + | 1.74007i | ||||
\(907\) | −9.93443 | + | 17.2069i | −0.329867 | + | 0.571347i | −0.982485 | − | 0.186340i | \(-0.940337\pi\) |
0.652618 | + | 0.757687i | \(0.273671\pi\) | |||||||
\(908\) | −19.9166 | + | 7.64192i | −0.660957 | + | 0.253606i | ||||
\(909\) | 22.8902 | − | 22.5836i | 0.759218 | − | 0.749051i | ||||
\(910\) | 17.7679 | − | 25.8484i | 0.589001 | − | 0.856866i | ||||
\(911\) | −24.0672 | + | 41.6857i | −0.797383 | + | 1.38111i | 0.123932 | + | 0.992291i | \(0.460450\pi\) |
−0.921315 | + | 0.388817i | \(0.872884\pi\) | |||||||
\(912\) | 0.476343 | + | 6.34994i | 0.0157733 | + | 0.210268i | ||||
\(913\) | −0.408571 | − | 0.707665i | −0.0135217 | − | 0.0234203i | ||||
\(914\) | 0.0257260 | + | 0.00202659i | 0.000850941 | + | 6.70335e-5i | ||||
\(915\) | −6.94995 | + | 51.4495i | −0.229758 | + | 1.70087i | ||||
\(916\) | −8.01223 | + | 50.5391i | −0.264731 | + | 1.66986i | ||||
\(917\) | 30.8091 | 1.01741 | ||||||||
\(918\) | 30.8214 | − | 1.30066i | 1.01726 | − | 0.0429282i | ||||
\(919\) | 34.3644i | 1.13358i | 0.823864 | + | 0.566788i | \(0.191814\pi\) | ||||
−0.823864 | + | 0.566788i | \(0.808186\pi\) | |||||||
\(920\) | −9.36789 | + | 9.86733i | −0.308850 | + | 0.325316i | ||||
\(921\) | −28.5878 | − | 3.86173i | −0.942002 | − | 0.127248i | ||||
\(922\) | −3.55041 | − | 0.279686i | −0.116927 | − | 0.00921098i | ||||
\(923\) | 31.5841 | − | 18.2351i | 1.03960 | − | 0.600216i | ||||
\(924\) | 0.935718 | + | 0.280756i | 0.0307829 | + | 0.00923621i | ||||
\(925\) | −10.0185 | − | 5.78416i | −0.329405 | − | 0.190182i | ||||
\(926\) | 32.1632 | + | 22.1086i | 1.05695 | + | 0.726535i | ||||
\(927\) | −25.0085 | + | 6.52064i | −0.821387 | + | 0.214166i | ||||
\(928\) | −6.24550 | − | 47.5745i | −0.205019 | − | 1.56171i | ||||
\(929\) | 15.1165 | + | 8.72750i | 0.495955 | + | 0.286340i | 0.727042 | − | 0.686593i | \(-0.240895\pi\) |
−0.231086 | + | 0.972933i | \(0.574228\pi\) | |||||||
\(930\) | 9.16463 | − | 42.3976i | 0.300520 | − | 1.39027i | ||||
\(931\) | −1.21388 | − | 2.10250i | −0.0397833 | − | 0.0689067i | ||||
\(932\) | −7.32118 | − | 5.93036i | −0.239813 | − | 0.194255i | ||||
\(933\) | −8.50998 | − | 20.7424i | −0.278604 | − | 0.679075i | ||||
\(934\) | −36.3328 | + | 17.3266i | −1.18884 | + | 0.566942i | ||||
\(935\) | 1.97708 | 0.0646574 | ||||||||
\(936\) | 25.8511 | − | 0.496873i | 0.844969 | − | 0.0162408i | ||||
\(937\) | 42.3068 | 1.38210 | 0.691051 | − | 0.722806i | \(-0.257148\pi\) | ||||
0.691051 | + | 0.722806i | \(0.257148\pi\) | |||||||
\(938\) | −16.8114 | + | 8.01712i | −0.548912 | + | 0.261768i | ||||
\(939\) | 28.2958 | − | 36.6196i | 0.923400 | − | 1.19504i | ||||
\(940\) | 1.80657 | − | 2.23026i | 0.0589240 | − | 0.0727431i | ||||
\(941\) | −11.6752 | − | 20.2221i | −0.380602 | − | 0.659222i | 0.610546 | − | 0.791980i | \(-0.290950\pi\) |
−0.991148 | + | 0.132758i | \(0.957617\pi\) | |||||||
\(942\) | −10.1727 | − | 9.22319i | −0.331445 | − | 0.300508i | ||||
\(943\) | −2.47539 | − | 1.42917i | −0.0806097 | − | 0.0465400i | ||||
\(944\) | −12.0113 | − | 13.3478i | −0.390936 | − | 0.434435i | ||||
\(945\) | 14.8261 | − | 34.7941i | 0.482294 | − | 1.13185i | ||||
\(946\) | 1.70373 | + | 1.17112i | 0.0553929 | + | 0.0380765i | ||||
\(947\) | 28.1206 | + | 16.2354i | 0.913796 | + | 0.527580i | 0.881651 | − | 0.471903i | \(-0.156433\pi\) |
0.0321454 | + | 0.999483i | \(0.489766\pi\) | |||||||
\(948\) | −42.3031 | + | 9.99882i | −1.37394 | + | 0.324746i | ||||
\(949\) | −10.7209 | + | 6.18973i | −0.348016 | + | 0.200927i | ||||
\(950\) | 9.27179 | + | 0.730392i | 0.300816 | + | 0.0236970i | ||||
\(951\) | −26.5482 | + | 34.3579i | −0.860884 | + | 1.11413i | ||||
\(952\) | −17.0676 | + | 17.9776i | −0.553164 | + | 0.582656i | ||||
\(953\) | − | 11.0705i | − | 0.358607i | −0.983794 | − | 0.179304i | \(-0.942616\pi\) | ||
0.983794 | − | 0.179304i | \(-0.0573844\pi\) | |||||||
\(954\) | −0.720986 | − | 4.04368i | −0.0233428 | − | 0.130919i | ||||
\(955\) | 15.4772 | 0.500832 | ||||||||
\(956\) | −29.6708 | − | 4.70387i | −0.959622 | − | 0.152134i | ||||
\(957\) | −1.83607 | + | 0.753286i | −0.0593518 | + | 0.0243503i | ||||
\(958\) | 54.0260 | + | 4.25593i | 1.74550 | + | 0.137503i | ||||
\(959\) | −17.9101 | − | 31.0212i | −0.578347 | − | 1.00173i | ||||
\(960\) | −3.97388 | + | 48.1458i | −0.128256 | + | 1.55390i | ||||
\(961\) | −2.60055 | + | 4.50429i | −0.0838888 | + | 0.145300i | ||||
\(962\) | 3.94665 | − | 5.74151i | 0.127245 | − | 0.185114i | ||||
\(963\) | 3.82683 | − | 13.9063i | 0.123318 | − | 0.448123i | ||||
\(964\) | 18.4462 | + | 48.0751i | 0.594111 | + | 1.54839i | ||||
\(965\) | 2.34938 | − | 4.06924i | 0.0756291 | − | 0.130993i | ||||
\(966\) | −6.71799 | + | 2.15725i | −0.216148 | + | 0.0694085i | ||||
\(967\) | 40.9201 | − | 23.6252i | 1.31590 | − | 0.759736i | 0.332835 | − | 0.942985i | \(-0.391995\pi\) |
0.983066 | + | 0.183249i | \(0.0586616\pi\) | |||||||
\(968\) | −8.81525 | − | 29.7839i | −0.283333 | − | 0.957292i | ||||
\(969\) | −0.894632 | + | 6.62283i | −0.0287397 | + | 0.212756i | ||||
\(970\) | −2.02498 | − | 4.24627i | −0.0650183 | − | 0.136339i | ||||
\(971\) | − | 33.9428i | − | 1.08928i | −0.838671 | − | 0.544638i | \(-0.816667\pi\) | ||
0.838671 | − | 0.544638i | \(-0.183333\pi\) | |||||||
\(972\) | 30.4348 | − | 6.76173i | 0.976198 | − | 0.216883i | ||||
\(973\) | 2.53809i | 0.0813674i | ||||||||
\(974\) | −2.88053 | + | 1.37368i | −0.0922981 | + | 0.0440156i | ||||
\(975\) | 5.05535 | − | 37.4241i | 0.161901 | − | 1.19853i | ||||
\(976\) | 10.6365 | − | 32.7032i | 0.340468 | − | 1.04680i | ||||
\(977\) | 26.9476 | − | 15.5582i | 0.862131 | − | 0.497752i | −0.00259421 | − | 0.999997i | \(-0.500826\pi\) |
0.864725 | + | 0.502245i | \(0.167492\pi\) | |||||||
\(978\) | −12.8634 | − | 40.0585i | −0.411328 | − | 1.28093i | ||||
\(979\) | 0.564544 | − | 0.977819i | 0.0180429 | − | 0.0312512i | ||||
\(980\) | −6.59800 | − | 17.1959i | −0.210765 | − | 0.549304i | ||||
\(981\) | 5.70473 | − | 20.7303i | 0.182138 | − | 0.661869i | ||||
\(982\) | 23.9080 | + | 16.4341i | 0.762936 | + | 0.524434i | ||||
\(983\) | 18.2288 | − | 31.5733i | 0.581410 | − | 1.00703i | −0.413903 | − | 0.910321i | \(-0.635835\pi\) |
0.995313 | − | 0.0967103i | \(-0.0308320\pi\) | |||||||
\(984\) | −10.0295 | + | 1.55162i | −0.319730 | + | 0.0494639i | ||||
\(985\) | 15.9824 | + | 27.6824i | 0.509243 | + | 0.882034i | ||||
\(986\) | 3.95472 | − | 50.2023i | 0.125944 | − | 1.59877i | ||||
\(987\) | 1.37704 | − | 0.564957i | 0.0438315 | − | 0.0179828i | ||||
\(988\) | −0.877054 | + | 5.53223i | −0.0279028 | + | 0.176004i | ||||
\(989\) | −14.9319 | −0.474806 | ||||||||
\(990\) | 1.96708 | − | 0.350729i | 0.0625180 | − | 0.0111469i | ||||
\(991\) | − | 21.5164i | − | 0.683490i | −0.939793 | − | 0.341745i | \(-0.888982\pi\) | ||
0.939793 | − | 0.341745i | \(-0.111018\pi\) | |||||||
\(992\) | −11.0053 | + | 26.5415i | −0.349418 | + | 0.842692i | ||||
\(993\) | 17.9602 | − | 23.2436i | 0.569951 | − | 0.737613i | ||||
\(994\) | −2.77512 | + | 35.2281i | −0.0880215 | + | 1.11737i | ||||
\(995\) | −72.5365 | + | 41.8790i | −2.29956 | + | 1.32765i | ||||
\(996\) | 20.3931 | − | 4.82014i | 0.646179 | − | 0.152732i | ||||
\(997\) | −49.4923 | − | 28.5744i | −1.56744 | − | 0.904961i | −0.996467 | − | 0.0839906i | \(-0.973233\pi\) |
−0.570971 | − | 0.820970i | \(-0.693433\pi\) | |||||||
\(998\) | 3.00920 | − | 4.37772i | 0.0952544 | − | 0.138574i | ||||
\(999\) | 3.29322 | − | 7.72856i | 0.104193 | − | 0.244521i |
(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 | 72.2.l.b.11.4 | yes | 16 | |
3.2 | odd | 2 | 216.2.l.b.35.5 | 16 | |||
4.3 | odd | 2 | 288.2.p.b.47.7 | 16 | |||
8.3 | odd | 2 | inner | 72.2.l.b.11.1 | ✓ | 16 | |
8.5 | even | 2 | 288.2.p.b.47.8 | 16 | |||
9.2 | odd | 6 | 648.2.f.b.323.9 | 16 | |||
9.4 | even | 3 | 216.2.l.b.179.8 | 16 | |||
9.5 | odd | 6 | inner | 72.2.l.b.59.1 | yes | 16 | |
9.7 | even | 3 | 648.2.f.b.323.8 | 16 | |||
12.11 | even | 2 | 864.2.p.b.143.8 | 16 | |||
24.5 | odd | 2 | 864.2.p.b.143.1 | 16 | |||
24.11 | even | 2 | 216.2.l.b.35.8 | 16 | |||
36.7 | odd | 6 | 2592.2.f.b.1295.15 | 16 | |||
36.11 | even | 6 | 2592.2.f.b.1295.1 | 16 | |||
36.23 | even | 6 | 288.2.p.b.239.8 | 16 | |||
36.31 | odd | 6 | 864.2.p.b.719.1 | 16 | |||
72.5 | odd | 6 | 288.2.p.b.239.7 | 16 | |||
72.11 | even | 6 | 648.2.f.b.323.7 | 16 | |||
72.13 | even | 6 | 864.2.p.b.719.8 | 16 | |||
72.29 | odd | 6 | 2592.2.f.b.1295.16 | 16 | |||
72.43 | odd | 6 | 648.2.f.b.323.10 | 16 | |||
72.59 | even | 6 | inner | 72.2.l.b.59.4 | yes | 16 | |
72.61 | even | 6 | 2592.2.f.b.1295.2 | 16 | |||
72.67 | odd | 6 | 216.2.l.b.179.5 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.l.b.11.1 | ✓ | 16 | 8.3 | odd | 2 | inner | |
72.2.l.b.11.4 | yes | 16 | 1.1 | even | 1 | trivial | |
72.2.l.b.59.1 | yes | 16 | 9.5 | odd | 6 | inner | |
72.2.l.b.59.4 | yes | 16 | 72.59 | even | 6 | inner | |
216.2.l.b.35.5 | 16 | 3.2 | odd | 2 | |||
216.2.l.b.35.8 | 16 | 24.11 | even | 2 | |||
216.2.l.b.179.5 | 16 | 72.67 | odd | 6 | |||
216.2.l.b.179.8 | 16 | 9.4 | even | 3 | |||
288.2.p.b.47.7 | 16 | 4.3 | odd | 2 | |||
288.2.p.b.47.8 | 16 | 8.5 | even | 2 | |||
288.2.p.b.239.7 | 16 | 72.5 | odd | 6 | |||
288.2.p.b.239.8 | 16 | 36.23 | even | 6 | |||
648.2.f.b.323.7 | 16 | 72.11 | even | 6 | |||
648.2.f.b.323.8 | 16 | 9.7 | even | 3 | |||
648.2.f.b.323.9 | 16 | 9.2 | odd | 6 | |||
648.2.f.b.323.10 | 16 | 72.43 | odd | 6 | |||
864.2.p.b.143.1 | 16 | 24.5 | odd | 2 | |||
864.2.p.b.143.8 | 16 | 12.11 | even | 2 | |||
864.2.p.b.719.1 | 16 | 36.31 | odd | 6 | |||
864.2.p.b.719.8 | 16 | 72.13 | even | 6 | |||
2592.2.f.b.1295.1 | 16 | 36.11 | even | 6 | |||
2592.2.f.b.1295.2 | 16 | 72.61 | even | 6 | |||
2592.2.f.b.1295.15 | 16 | 36.7 | odd | 6 | |||
2592.2.f.b.1295.16 | 16 | 72.29 | odd | 6 |