Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(5,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bo (of order \(12\), degree \(4\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Character | \(\chi\) | \(=\) | 336.5 |
Dual form | 336.2.bo.a.269.7 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30302 | + | 0.549667i | −0.921376 | + | 0.388673i | ||||
\(3\) | 1.61139 | + | 0.635165i | 0.930334 | + | 0.366713i | ||||
\(4\) | 1.39573 | − | 1.43246i | 0.697866 | − | 0.716228i | ||||
\(5\) | 2.20923 | − | 0.591960i | 0.987996 | − | 0.264733i | 0.271587 | − | 0.962414i | \(-0.412451\pi\) |
0.716408 | + | 0.697681i | \(0.245785\pi\) | |||||||
\(6\) | −2.44880 | + | 0.0580921i | −0.999719 | + | 0.0237160i | ||||
\(7\) | −1.46235 | − | 2.20489i | −0.552718 | − | 0.833369i | ||||
\(8\) | −1.03130 | + | 2.63371i | −0.364618 | + | 0.931157i | ||||
\(9\) | 2.19313 | + | 2.04699i | 0.731044 | + | 0.682331i | ||||
\(10\) | −2.55329 | + | 1.98568i | −0.807421 | + | 0.627926i | ||||
\(11\) | 4.82320 | + | 1.29237i | 1.45425 | + | 0.389665i | 0.897499 | − | 0.441016i | \(-0.145382\pi\) |
0.556749 | + | 0.830680i | \(0.312048\pi\) | |||||||
\(12\) | 3.15891 | − | 1.42172i | 0.911899 | − | 0.410415i | ||||
\(13\) | −3.01482 | − | 3.01482i | −0.836161 | − | 0.836161i | 0.152190 | − | 0.988351i | \(-0.451367\pi\) |
−0.988351 | + | 0.152190i | \(0.951367\pi\) | |||||||
\(14\) | 3.11743 | + | 2.06921i | 0.833169 | + | 0.553019i | ||||
\(15\) | 3.93591 | + | 0.449346i | 1.01625 | + | 0.116021i | ||||
\(16\) | −0.103864 | − | 3.99865i | −0.0259660 | − | 0.999663i | ||||
\(17\) | −1.81539 | − | 3.14435i | −0.440297 | − | 0.762617i | 0.557414 | − | 0.830235i | \(-0.311794\pi\) |
−0.997711 | + | 0.0676173i | \(0.978460\pi\) | |||||||
\(18\) | −3.98286 | − | 1.46178i | −0.938770 | − | 0.344546i | ||||
\(19\) | 2.23816 | − | 0.599712i | 0.513468 | − | 0.137583i | 0.00722462 | − | 0.999974i | \(-0.497700\pi\) |
0.506244 | + | 0.862390i | \(0.331034\pi\) | |||||||
\(20\) | 2.23553 | − | 3.99084i | 0.499880 | − | 0.892378i | ||||
\(21\) | −0.955949 | − | 4.48176i | −0.208605 | − | 0.978000i | ||||
\(22\) | −6.99511 | + | 0.967164i | −1.49136 | + | 0.206200i | ||||
\(23\) | −2.39894 | + | 4.15508i | −0.500213 | + | 0.866394i | 0.499787 | + | 0.866148i | \(0.333411\pi\) |
−1.00000 | 0.000245435i | \(0.999922\pi\) | ||||||||
\(24\) | −3.33466 | + | 3.58888i | −0.680684 | + | 0.732577i | ||||
\(25\) | 0.200133 | − | 0.115547i | 0.0400266 | − | 0.0231093i | ||||
\(26\) | 5.58553 | + | 2.27123i | 1.09541 | + | 0.445425i | ||||
\(27\) | 2.23380 | + | 4.69149i | 0.429896 | + | 0.902879i | ||||
\(28\) | −5.19946 | − | 0.982673i | −0.982605 | − | 0.185708i | ||||
\(29\) | 0.907629 | + | 0.907629i | 0.168542 | + | 0.168542i | 0.786338 | − | 0.617796i | \(-0.211974\pi\) |
−0.617796 | + | 0.786338i | \(0.711974\pi\) | |||||||
\(30\) | −5.37556 | + | 1.57793i | −0.981439 | + | 0.288089i | ||||
\(31\) | −1.80350 | + | 1.04125i | −0.323918 | + | 0.187014i | −0.653138 | − | 0.757239i | \(-0.726548\pi\) |
0.329220 | + | 0.944253i | \(0.393214\pi\) | |||||||
\(32\) | 2.33326 | + | 5.15324i | 0.412467 | + | 0.910973i | ||||
\(33\) | 6.95116 | + | 5.14604i | 1.21004 | + | 0.895810i | ||||
\(34\) | 4.09384 | + | 3.09930i | 0.702088 | + | 0.531525i | ||||
\(35\) | −4.53587 | − | 4.00544i | −0.766702 | − | 0.677042i | ||||
\(36\) | 5.99325 | − | 0.284512i | 0.998875 | − | 0.0474187i | ||||
\(37\) | 7.34909 | − | 1.96918i | 1.20818 | − | 0.323732i | 0.402134 | − | 0.915581i | \(-0.368268\pi\) |
0.806049 | + | 0.591849i | \(0.201602\pi\) | |||||||
\(38\) | −2.58672 | + | 2.01168i | −0.419622 | + | 0.326337i | ||||
\(39\) | −2.94313 | − | 6.77295i | −0.471278 | − | 1.08454i | ||||
\(40\) | −0.719312 | + | 6.42895i | −0.113733 | + | 1.01651i | ||||
\(41\) | − | 1.68594i | − | 0.263300i | −0.991296 | − | 0.131650i | \(-0.957972\pi\) | ||
0.991296 | − | 0.131650i | \(-0.0420275\pi\) | |||||||
\(42\) | 3.70910 | + | 5.31438i | 0.572326 | + | 0.820026i | ||||
\(43\) | 4.99780 | + | 4.99780i | 0.762158 | + | 0.762158i | 0.976712 | − | 0.214554i | \(-0.0688299\pi\) |
−0.214554 | + | 0.976712i | \(0.568830\pi\) | |||||||
\(44\) | 8.58316 | − | 5.10522i | 1.29396 | − | 0.769640i | ||||
\(45\) | 6.05686 | + | 3.22402i | 0.902903 | + | 0.480609i | ||||
\(46\) | 0.841955 | − | 6.73277i | 0.124140 | − | 0.992693i | ||||
\(47\) | −4.30694 | + | 7.45984i | −0.628232 | + | 1.08813i | 0.359674 | + | 0.933078i | \(0.382888\pi\) |
−0.987906 | + | 0.155052i | \(0.950446\pi\) | |||||||
\(48\) | 2.37244 | − | 6.50934i | 0.342432 | − | 0.939543i | ||||
\(49\) | −2.72305 | + | 6.44865i | −0.389006 | + | 0.921235i | ||||
\(50\) | −0.197265 | + | 0.260566i | −0.0278975 | + | 0.0368496i | ||||
\(51\) | −0.928116 | − | 6.21984i | −0.129962 | − | 0.870952i | ||||
\(52\) | −8.52648 | + | 0.110718i | −1.18241 | + | 0.0153538i | ||||
\(53\) | −9.97941 | − | 2.67397i | −1.37078 | − | 0.367299i | −0.503015 | − | 0.864278i | \(-0.667776\pi\) |
−0.867762 | + | 0.496979i | \(0.834443\pi\) | |||||||
\(54\) | −5.48945 | − | 4.88527i | −0.747020 | − | 0.664801i | ||||
\(55\) | 11.4206 | 1.53995 | ||||||||
\(56\) | 7.31515 | − | 1.57753i | 0.977528 | − | 0.210806i | ||||
\(57\) | 3.98745 | + | 0.455231i | 0.528151 | + | 0.0602968i | ||||
\(58\) | −1.68155 | − | 0.683766i | −0.220799 | − | 0.0897829i | ||||
\(59\) | −3.02733 | + | 11.2982i | −0.394125 | + | 1.47089i | 0.429140 | + | 0.903238i | \(0.358817\pi\) |
−0.823265 | + | 0.567657i | \(0.807850\pi\) | |||||||
\(60\) | 6.13714 | − | 5.01085i | 0.792302 | − | 0.646898i | ||||
\(61\) | 0.0606732 | − | 0.0162573i | 0.00776840 | − | 0.00208154i | −0.254933 | − | 0.966959i | \(-0.582053\pi\) |
0.262701 | + | 0.964877i | \(0.415387\pi\) | |||||||
\(62\) | 1.77766 | − | 2.34810i | 0.225763 | − | 0.298209i | ||||
\(63\) | 1.30625 | − | 7.82903i | 0.164572 | − | 0.986365i | ||||
\(64\) | −5.87286 | − | 5.43227i | −0.734108 | − | 0.679033i | ||||
\(65\) | −8.44507 | − | 4.87577i | −1.04748 | − | 0.604764i | ||||
\(66\) | −11.8861 | − | 2.88457i | −1.46308 | − | 0.355066i | ||||
\(67\) | −10.5786 | − | 2.83453i | −1.29238 | − | 0.346293i | −0.453817 | − | 0.891095i | \(-0.649938\pi\) |
−0.838565 | + | 0.544802i | \(0.816605\pi\) | |||||||
\(68\) | −7.03795 | − | 1.78820i | −0.853477 | − | 0.216851i | ||||
\(69\) | −6.50477 | + | 5.17171i | −0.783082 | + | 0.622601i | ||||
\(70\) | 8.11200 | + | 2.72595i | 0.969569 | + | 0.325813i | ||||
\(71\) | 6.66540 | 0.791037 | 0.395519 | − | 0.918458i | \(-0.370565\pi\) | ||||
0.395519 | + | 0.918458i | \(0.370565\pi\) | |||||||
\(72\) | −7.65295 | + | 3.66502i | −0.901909 | + | 0.431927i | ||||
\(73\) | −4.08645 | − | 7.07793i | −0.478283 | − | 0.828410i | 0.521407 | − | 0.853308i | \(-0.325407\pi\) |
−0.999690 | + | 0.0248982i | \(0.992074\pi\) | |||||||
\(74\) | −8.49363 | + | 6.60544i | −0.987365 | + | 0.767867i | ||||
\(75\) | 0.395882 | − | 0.0590730i | 0.0457126 | − | 0.00682117i | ||||
\(76\) | 2.26480 | − | 4.04310i | 0.259791 | − | 0.463775i | ||||
\(77\) | −4.20369 | − | 12.5245i | −0.479055 | − | 1.42730i | ||||
\(78\) | 7.55783 | + | 7.20756i | 0.855756 | + | 0.816095i | ||||
\(79\) | −1.83089 | + | 3.17119i | −0.205991 | + | 0.356787i | −0.950448 | − | 0.310883i | \(-0.899375\pi\) |
0.744457 | + | 0.667670i | \(0.232708\pi\) | |||||||
\(80\) | −2.59650 | − | 8.77244i | −0.290298 | − | 0.980788i | ||||
\(81\) | 0.619645 | + | 8.97864i | 0.0688495 | + | 0.997627i | ||||
\(82\) | 0.926707 | + | 2.19682i | 0.102338 | + | 0.242598i | ||||
\(83\) | 1.15653 | − | 1.15653i | 0.126946 | − | 0.126946i | −0.640779 | − | 0.767725i | \(-0.721389\pi\) |
0.767725 | + | 0.640779i | \(0.221389\pi\) | |||||||
\(84\) | −7.75417 | − | 4.88598i | −0.846050 | − | 0.533104i | ||||
\(85\) | −5.87194 | − | 5.87194i | −0.636902 | − | 0.636902i | ||||
\(86\) | −9.25937 | − | 3.76512i | −0.998464 | − | 0.406003i | ||||
\(87\) | 0.886046 | + | 2.03903i | 0.0949941 | + | 0.218607i | ||||
\(88\) | −8.37787 | + | 11.3701i | −0.893084 | + | 1.21206i | ||||
\(89\) | −5.05199 | − | 2.91677i | −0.535510 | − | 0.309177i | 0.207748 | − | 0.978182i | \(-0.433387\pi\) |
−0.743257 | + | 0.669006i | \(0.766720\pi\) | |||||||
\(90\) | −9.66436 | − | 0.871714i | −1.01871 | − | 0.0918868i | ||||
\(91\) | −2.23860 | + | 11.0561i | −0.234669 | + | 1.15899i | ||||
\(92\) | 2.60370 | + | 9.23575i | 0.271454 | + | 0.962893i | ||||
\(93\) | −3.56750 | + | 0.532337i | −0.369933 | + | 0.0552008i | ||||
\(94\) | 1.51161 | − | 12.0877i | 0.155911 | − | 1.24675i | ||||
\(95\) | 4.58959 | − | 2.64980i | 0.470882 | − | 0.271864i | ||||
\(96\) | 0.486632 | + | 9.78587i | 0.0496667 | + | 0.998766i | ||||
\(97\) | − | 8.00319i | − | 0.812600i | −0.913740 | − | 0.406300i | \(-0.866819\pi\) | ||
0.913740 | − | 0.406300i | \(-0.133181\pi\) | |||||||
\(98\) | 0.00357953 | − | 9.89949i | 0.000361587 | − | 1.00000i | ||||
\(99\) | 7.93243 | + | 12.7074i | 0.797239 | + | 1.27714i | ||||
\(100\) | 0.113816 | − | 0.447954i | 0.0113816 | − | 0.0447954i | ||||
\(101\) | 1.14832 | − | 4.28559i | 0.114262 | − | 0.426433i | −0.884968 | − | 0.465651i | \(-0.845820\pi\) |
0.999231 | + | 0.0392185i | \(0.0124868\pi\) | |||||||
\(102\) | 4.62820 | + | 7.59443i | 0.458260 | + | 0.751961i | ||||
\(103\) | 8.49570 | − | 14.7150i | 0.837106 | − | 1.44991i | −0.0551982 | − | 0.998475i | \(-0.517579\pi\) |
0.892304 | − | 0.451435i | \(-0.149088\pi\) | |||||||
\(104\) | 11.0493 | − | 4.83100i | 1.08348 | − | 0.473718i | ||||
\(105\) | −4.76493 | − | 9.33533i | −0.465010 | − | 0.911035i | ||||
\(106\) | 14.4732 | − | 2.00111i | 1.40576 | − | 0.194365i | ||||
\(107\) | −2.16311 | − | 8.07283i | −0.209116 | − | 0.780430i | −0.988156 | − | 0.153456i | \(-0.950960\pi\) |
0.779040 | − | 0.626974i | \(-0.215707\pi\) | |||||||
\(108\) | 9.83815 | + | 3.34824i | 0.946677 | + | 0.322185i | ||||
\(109\) | −18.9713 | − | 5.08334i | −1.81712 | − | 0.486896i | −0.820695 | − | 0.571367i | \(-0.806413\pi\) |
−0.996426 | + | 0.0844706i | \(0.973080\pi\) | |||||||
\(110\) | −14.8812 | + | 6.27751i | −1.41887 | + | 0.598537i | ||||
\(111\) | 13.0930 | + | 1.49477i | 1.24273 | + | 0.141877i | ||||
\(112\) | −8.66468 | + | 6.07645i | −0.818736 | + | 0.574170i | ||||
\(113\) | − | 2.25255i | − | 0.211902i | −0.994371 | − | 0.105951i | \(-0.966211\pi\) | ||
0.994371 | − | 0.105951i | \(-0.0337887\pi\) | |||||||
\(114\) | −5.44596 | + | 1.59859i | −0.510061 | + | 0.149722i | ||||
\(115\) | −2.84015 | + | 10.5996i | −0.264845 | + | 0.988416i | ||||
\(116\) | 2.56695 | − | 0.0333322i | 0.238335 | − | 0.00309482i | ||||
\(117\) | −0.440582 | − | 12.7832i | −0.0407318 | − | 1.18181i | ||||
\(118\) | −2.26555 | − | 16.3858i | −0.208560 | − | 1.50843i | ||||
\(119\) | −4.27819 | + | 8.60089i | −0.392181 | + | 0.788442i | ||||
\(120\) | −5.24253 | + | 9.90263i | −0.478575 | + | 0.903982i | ||||
\(121\) | 12.0667 | + | 6.96673i | 1.09698 | + | 0.633339i | ||||
\(122\) | −0.0701223 | + | 0.0545337i | −0.00634858 | + | 0.00493725i | ||||
\(123\) | 1.07085 | − | 2.71670i | 0.0965555 | − | 0.244957i | ||||
\(124\) | −1.02566 | + | 4.03674i | −0.0921066 | + | 0.362510i | ||||
\(125\) | −7.71259 | + | 7.71259i | −0.689835 | + | 0.689835i | ||||
\(126\) | 2.60128 | + | 10.9194i | 0.231741 | + | 0.972778i | ||||
\(127\) | −1.32390 | −0.117478 | −0.0587388 | − | 0.998273i | \(-0.518708\pi\) | ||||
−0.0587388 | + | 0.998273i | \(0.518708\pi\) | |||||||
\(128\) | 10.6384 | + | 3.85024i | 0.940311 | + | 0.340317i | ||||
\(129\) | 4.87896 | + | 11.2278i | 0.429568 | + | 0.988554i | ||||
\(130\) | 13.6842 | + | 1.71125i | 1.20018 | + | 0.150087i | ||||
\(131\) | −1.39241 | − | 5.19656i | −0.121656 | − | 0.454026i | 0.878043 | − | 0.478582i | \(-0.158849\pi\) |
−0.999698 | + | 0.0245567i | \(0.992183\pi\) | |||||||
\(132\) | 17.0734 | − | 2.77475i | 1.48605 | − | 0.241511i | ||||
\(133\) | −4.59527 | − | 4.05789i | −0.398461 | − | 0.351864i | ||||
\(134\) | 15.3422 | − | 2.12126i | 1.32536 | − | 0.183249i | ||||
\(135\) | 7.71215 | + | 9.04225i | 0.663756 | + | 0.778233i | ||||
\(136\) | 10.1535 | − | 1.53846i | 0.870657 | − | 0.131922i | ||||
\(137\) | 8.10384 | + | 14.0363i | 0.692357 | + | 1.19920i | 0.971063 | + | 0.238822i | \(0.0767612\pi\) |
−0.278706 | + | 0.960376i | \(0.589906\pi\) | |||||||
\(138\) | 5.63314 | − | 10.3143i | 0.479524 | − | 0.878013i | ||||
\(139\) | −14.7366 | + | 14.7366i | −1.24995 | + | 1.24995i | −0.294202 | + | 0.955743i | \(0.595054\pi\) |
−0.955743 | + | 0.294202i | \(0.904946\pi\) | |||||||
\(140\) | −12.0685 | + | 0.906926i | −1.01997 | + | 0.0766493i | ||||
\(141\) | −11.6784 | + | 9.28507i | −0.983497 | + | 0.781944i | ||||
\(142\) | −8.68516 | + | 3.66375i | −0.728842 | + | 0.307455i | ||||
\(143\) | −10.6448 | − | 18.4374i | −0.890164 | − | 1.54181i | ||||
\(144\) | 7.95742 | − | 8.98217i | 0.663118 | − | 0.748514i | ||||
\(145\) | 2.54244 | + | 1.46788i | 0.211138 | + | 0.121900i | ||||
\(146\) | 9.21524 | + | 6.97652i | 0.762659 | + | 0.577381i | ||||
\(147\) | −8.48383 | + | 8.66167i | −0.699735 | + | 0.714403i | ||||
\(148\) | 7.43659 | − | 13.2757i | 0.611284 | − | 1.09126i | ||||
\(149\) | −0.738935 | − | 2.75774i | −0.0605359 | − | 0.225923i | 0.929030 | − | 0.370005i | \(-0.120644\pi\) |
−0.989566 | + | 0.144081i | \(0.953977\pi\) | |||||||
\(150\) | −0.483373 | + | 0.294577i | −0.0394672 | + | 0.0240521i | ||||
\(151\) | −2.72135 | + | 1.57117i | −0.221460 | + | 0.127860i | −0.606626 | − | 0.794987i | \(-0.707478\pi\) |
0.385166 | + | 0.922847i | \(0.374144\pi\) | |||||||
\(152\) | −0.728732 | + | 6.51314i | −0.0591079 | + | 0.528285i | ||||
\(153\) | 2.45507 | − | 10.6121i | 0.198481 | − | 0.857935i | ||||
\(154\) | 12.3618 | + | 14.0091i | 0.996143 | + | 1.12888i | ||||
\(155\) | −3.36796 | + | 3.36796i | −0.270521 | + | 0.270521i | ||||
\(156\) | −13.8098 | − | 5.23732i | −1.10567 | − | 0.419321i | ||||
\(157\) | 1.90975 | − | 7.12729i | 0.152415 | − | 0.568819i | −0.846898 | − | 0.531755i | \(-0.821533\pi\) |
0.999313 | − | 0.0370643i | \(-0.0118006\pi\) | |||||||
\(158\) | 0.642588 | − | 5.13851i | 0.0511216 | − | 0.408798i | ||||
\(159\) | −14.3823 | − | 10.6474i | −1.14059 | − | 0.844392i | ||||
\(160\) | 8.20522 | + | 10.0035i | 0.648679 | + | 0.790844i | ||||
\(161\) | 12.6696 | − | 0.786813i | 0.998501 | − | 0.0620095i | ||||
\(162\) | −5.74268 | − | 11.3588i | −0.451187 | − | 0.892429i | ||||
\(163\) | 5.32484 | + | 19.8726i | 0.417074 | + | 1.55654i | 0.780646 | + | 0.624974i | \(0.214890\pi\) |
−0.363572 | + | 0.931566i | \(0.618443\pi\) | |||||||
\(164\) | −2.41504 | − | 2.35312i | −0.188583 | − | 0.183748i | ||||
\(165\) | 18.4029 | + | 7.25394i | 1.43267 | + | 0.564719i | ||||
\(166\) | −0.871278 | + | 2.14269i | −0.0676243 | + | 0.166305i | ||||
\(167\) | − | 7.18747i | − | 0.556183i | −0.960555 | − | 0.278091i | \(-0.910298\pi\) | ||
0.960555 | − | 0.278091i | \(-0.0897018\pi\) | |||||||
\(168\) | 12.7895 | + | 2.10432i | 0.986733 | + | 0.162352i | ||||
\(169\) | 5.17830i | 0.398331i | ||||||||
\(170\) | 10.8789 | + | 4.42366i | 0.834372 | + | 0.339279i | ||||
\(171\) | 6.13618 | + | 3.26624i | 0.469245 | + | 0.249776i | ||||
\(172\) | 14.1347 | − | 0.183542i | 1.07776 | − | 0.0139949i | ||||
\(173\) | 4.25170 | + | 15.8676i | 0.323251 | + | 1.20639i | 0.916059 | + | 0.401044i | \(0.131353\pi\) |
−0.592808 | + | 0.805344i | \(0.701981\pi\) | |||||||
\(174\) | −2.27533 | − | 2.16988i | −0.172492 | − | 0.164498i | ||||
\(175\) | −0.547432 | − | 0.272300i | −0.0413820 | − | 0.0205839i | ||||
\(176\) | 4.66679 | − | 19.4205i | 0.351772 | − | 1.46388i | ||||
\(177\) | −12.0544 | + | 16.2828i | −0.906064 | + | 1.22389i | ||||
\(178\) | 8.18610 | + | 1.02370i | 0.613574 | + | 0.0767295i | ||||
\(179\) | 1.82630 | − | 6.81586i | 0.136504 | − | 0.509442i | −0.863483 | − | 0.504378i | \(-0.831722\pi\) |
0.999987 | − | 0.00506312i | \(-0.00161165\pi\) | |||||||
\(180\) | 13.0720 | − | 4.17632i | 0.974331 | − | 0.311284i | ||||
\(181\) | 12.4865 | − | 12.4865i | 0.928116 | − | 0.928116i | −0.0694678 | − | 0.997584i | \(-0.522130\pi\) |
0.997584 | + | 0.0694678i | \(0.0221301\pi\) | |||||||
\(182\) | −3.16021 | − | 15.6368i | −0.234250 | − | 1.15908i | ||||
\(183\) | 0.108094 | + | 0.0123406i | 0.00799054 | + | 0.000912246i | ||||
\(184\) | −8.46926 | − | 10.6032i | −0.624362 | − | 0.781679i | ||||
\(185\) | 15.0701 | − | 8.70074i | 1.10798 | − | 0.639691i | ||||
\(186\) | 4.35592 | − | 2.65458i | 0.319392 | − | 0.194644i | ||||
\(187\) | −4.69233 | − | 17.5120i | −0.343137 | − | 1.28060i | ||||
\(188\) | 4.67456 | + | 16.5814i | 0.340928 | + | 1.20933i | ||||
\(189\) | 7.07760 | − | 11.7859i | 0.514820 | − | 0.857298i | ||||
\(190\) | −4.52382 | + | 5.97549i | −0.328193 | + | 0.433508i | ||||
\(191\) | 18.0538 | + | 10.4234i | 1.30633 | + | 0.754210i | 0.981482 | − | 0.191556i | \(-0.0613533\pi\) |
0.324849 | + | 0.945766i | \(0.394687\pi\) | |||||||
\(192\) | −6.01306 | − | 12.4837i | −0.433955 | − | 0.900934i | ||||
\(193\) | 4.92617 | + | 8.53238i | 0.354594 | + | 0.614174i | 0.987048 | − | 0.160423i | \(-0.0512859\pi\) |
−0.632455 | + | 0.774597i | \(0.717953\pi\) | |||||||
\(194\) | 4.39909 | + | 10.4283i | 0.315836 | + | 0.748710i | ||||
\(195\) | −10.5114 | − | 13.2208i | −0.752734 | − | 0.946758i | ||||
\(196\) | 5.43676 | + | 12.9012i | 0.388340 | + | 0.921516i | ||||
\(197\) | −15.4136 | + | 15.4136i | −1.09817 | + | 1.09817i | −0.103548 | + | 0.994624i | \(0.533020\pi\) |
−0.994624 | + | 0.103548i | \(0.966980\pi\) | |||||||
\(198\) | −17.3210 | − | 12.1978i | −1.23095 | − | 0.866861i | ||||
\(199\) | −1.65605 | − | 2.86836i | −0.117394 | − | 0.203333i | 0.801340 | − | 0.598209i | \(-0.204121\pi\) |
−0.918734 | + | 0.394876i | \(0.870787\pi\) | |||||||
\(200\) | 0.0979206 | + | 0.646254i | 0.00692403 | + | 0.0456971i | ||||
\(201\) | −15.2458 | − | 11.2867i | −1.07536 | − | 0.796101i | ||||
\(202\) | 0.859362 | + | 6.21542i | 0.0604645 | + | 0.437315i | ||||
\(203\) | 0.673944 | − | 3.32849i | 0.0473016 | − | 0.233614i | ||||
\(204\) | −10.2051 | − | 7.35174i | −0.714497 | − | 0.514725i | ||||
\(205\) | −0.998011 | − | 3.72463i | −0.0697041 | − | 0.260139i | ||||
\(206\) | −2.98174 | + | 23.8437i | −0.207748 | + | 1.66127i | ||||
\(207\) | −13.7666 | + | 4.20203i | −0.956844 | + | 0.292061i | ||||
\(208\) | −11.7421 | + | 12.3684i | −0.814167 | + | 0.857591i | ||||
\(209\) | 11.5701 | 0.800322 | ||||||||
\(210\) | 11.3401 | + | 9.54501i | 0.782544 | + | 0.658669i | ||||
\(211\) | 16.8115 | − | 16.8115i | 1.15735 | − | 1.15735i | 0.172310 | − | 0.985043i | \(-0.444877\pi\) |
0.985043 | − | 0.172310i | \(-0.0551232\pi\) | |||||||
\(212\) | −17.7589 | + | 10.5629i | −1.21969 | + | 0.725464i | ||||
\(213\) | 10.7405 | + | 4.23363i | 0.735929 | + | 0.290083i | ||||
\(214\) | 7.25595 | + | 9.33009i | 0.496006 | + | 0.637792i | ||||
\(215\) | 13.9998 | + | 8.08277i | 0.954776 | + | 0.551240i | ||||
\(216\) | −14.6597 | + | 1.04487i | −0.997470 | + | 0.0710946i | ||||
\(217\) | 4.93319 | + | 2.45383i | 0.334887 | + | 0.166577i | ||||
\(218\) | 27.5142 | − | 3.80419i | 1.86349 | − | 0.257652i | ||||
\(219\) | −2.08919 | − | 14.0009i | −0.141174 | − | 0.946090i | ||||
\(220\) | 15.9400 | − | 16.3595i | 1.07468 | − | 1.10295i | ||||
\(221\) | −4.00658 | + | 14.9527i | −0.269511 | + | 1.00583i | ||||
\(222\) | −17.8821 | + | 5.24906i | −1.20017 | + | 0.352294i | ||||
\(223\) | 3.91741i | 0.262329i | 0.991361 | + | 0.131165i | \(0.0418717\pi\) | ||||
−0.991361 | + | 0.131165i | \(0.958128\pi\) | |||||||
\(224\) | 7.95025 | − | 12.6804i | 0.531198 | − | 0.847247i | ||||
\(225\) | 0.675440 | + | 0.156261i | 0.0450294 | + | 0.0104174i | ||||
\(226\) | 1.23815 | + | 2.93512i | 0.0823606 | + | 0.195241i | ||||
\(227\) | −17.6303 | − | 4.72403i | −1.17017 | − | 0.313545i | −0.379147 | − | 0.925336i | \(-0.623782\pi\) |
−0.791019 | + | 0.611791i | \(0.790449\pi\) | |||||||
\(228\) | 6.21751 | − | 5.07647i | 0.411765 | − | 0.336197i | ||||
\(229\) | 1.61030 | + | 6.00974i | 0.106412 | + | 0.397135i | 0.998502 | − | 0.0547239i | \(-0.0174279\pi\) |
−0.892090 | + | 0.451858i | \(0.850761\pi\) | |||||||
\(230\) | −2.12546 | − | 15.3726i | −0.140149 | − | 1.01364i | ||||
\(231\) | 1.18137 | − | 22.8519i | 0.0777282 | − | 1.50354i | ||||
\(232\) | −3.32646 | + | 1.45440i | −0.218393 | + | 0.0954859i | ||||
\(233\) | −5.74011 | + | 9.94216i | −0.376047 | + | 0.651333i | −0.990483 | − | 0.137634i | \(-0.956050\pi\) |
0.614436 | + | 0.788967i | \(0.289384\pi\) | |||||||
\(234\) | 7.60060 | + | 16.4146i | 0.496867 | + | 1.07306i | ||||
\(235\) | −5.09908 | + | 19.0300i | −0.332627 | + | 1.24138i | ||||
\(236\) | 11.9588 | + | 20.1057i | 0.778450 | + | 1.30877i | ||||
\(237\) | −4.96450 | + | 3.94710i | −0.322479 | + | 0.256392i | ||||
\(238\) | 0.846954 | − | 13.5587i | 0.0548999 | − | 0.878882i | ||||
\(239\) | 15.2759i | 0.988115i | 0.869429 | + | 0.494058i | \(0.164487\pi\) | ||||
−0.869429 | + | 0.494058i | \(0.835513\pi\) | |||||||
\(240\) | 1.38798 | − | 15.7850i | 0.0895937 | − | 1.01892i | ||||
\(241\) | 5.99787 | − | 3.46287i | 0.386357 | − | 0.223063i | −0.294223 | − | 0.955737i | \(-0.595061\pi\) |
0.680580 | + | 0.732673i | \(0.261728\pi\) | |||||||
\(242\) | −19.5526 | − | 2.44512i | −1.25689 | − | 0.157178i | ||||
\(243\) | −4.70443 | + | 14.8616i | −0.301789 | + | 0.953375i | ||||
\(244\) | 0.0613956 | − | 0.109603i | 0.00393045 | − | 0.00701658i | ||||
\(245\) | −2.19848 | + | 15.8584i | −0.140456 | + | 1.01316i | ||||
\(246\) | 0.0979399 | + | 4.12854i | 0.00624442 | + | 0.263226i | ||||
\(247\) | −8.55567 | − | 4.93962i | −0.544384 | − | 0.314300i | ||||
\(248\) | −0.882413 | − | 5.82373i | −0.0560333 | − | 0.369807i | ||||
\(249\) | 2.59820 | − | 1.12903i | 0.164655 | − | 0.0715493i | ||||
\(250\) | 5.81031 | − | 14.2890i | 0.367477 | − | 0.903717i | ||||
\(251\) | −19.5033 | − | 19.5033i | −1.23104 | − | 1.23104i | −0.963565 | − | 0.267475i | \(-0.913811\pi\) |
−0.267475 | − | 0.963565i | \(-0.586189\pi\) | |||||||
\(252\) | −9.39157 | − | 12.7984i | −0.591613 | − | 0.806222i | ||||
\(253\) | −16.9404 | + | 16.9404i | −1.06504 | + | 1.06504i | ||||
\(254\) | 1.72508 | − | 0.727707i | 0.108241 | − | 0.0456604i | ||||
\(255\) | −5.73231 | − | 13.1916i | −0.358971 | − | 0.826091i | ||||
\(256\) | −15.9784 | + | 0.830631i | −0.998652 | + | 0.0519144i | ||||
\(257\) | 13.6156 | − | 23.5828i | 0.849315 | − | 1.47106i | −0.0325056 | − | 0.999472i | \(-0.510349\pi\) |
0.881821 | − | 0.471585i | \(-0.156318\pi\) | |||||||
\(258\) | −12.5290 | − | 11.9483i | −0.780019 | − | 0.743868i | ||||
\(259\) | −15.0888 | − | 13.3243i | −0.937572 | − | 0.827930i | ||||
\(260\) | −18.7714 | + | 5.29194i | −1.16415 | + | 0.328192i | ||||
\(261\) | 0.132640 | + | 3.84846i | 0.00821018 | + | 0.238214i | ||||
\(262\) | 4.67073 | + | 6.00587i | 0.288558 | + | 0.371044i | ||||
\(263\) | −5.75983 | − | 9.97632i | −0.355166 | − | 0.615166i | 0.631980 | − | 0.774985i | \(-0.282242\pi\) |
−0.987146 | + | 0.159818i | \(0.948909\pi\) | |||||||
\(264\) | −20.7219 | + | 13.0003i | −1.27534 | + | 0.800111i | ||||
\(265\) | −23.6296 | −1.45156 | ||||||||
\(266\) | 8.21823 | + | 2.76165i | 0.503892 | + | 0.169327i | ||||
\(267\) | −6.28807 | − | 7.90888i | −0.384824 | − | 0.484016i | ||||
\(268\) | −18.8252 | + | 11.1971i | −1.14993 | + | 0.683975i | ||||
\(269\) | 3.81856 | + | 1.02318i | 0.232822 | + | 0.0623844i | 0.373343 | − | 0.927693i | \(-0.378211\pi\) |
−0.140522 | + | 0.990078i | \(0.544878\pi\) | |||||||
\(270\) | −15.0193 | − | 7.54313i | −0.914047 | − | 0.459060i | ||||
\(271\) | 16.0106 | + | 9.24372i | 0.972574 | + | 0.561516i | 0.900020 | − | 0.435848i | \(-0.143552\pi\) |
0.0725543 | + | 0.997364i | \(0.476885\pi\) | |||||||
\(272\) | −12.3846 | + | 7.58571i | −0.750928 | + | 0.459951i | ||||
\(273\) | −10.6297 | + | 16.3937i | −0.643338 | + | 0.992193i | ||||
\(274\) | −18.2747 | − | 13.8351i | −1.10402 | − | 0.835811i | ||||
\(275\) | 1.11461 | − | 0.298659i | 0.0672135 | − | 0.0180098i | ||||
\(276\) | −1.67066 | + | 16.5361i | −0.100562 | + | 0.995358i | ||||
\(277\) | −1.73375 | + | 6.47045i | −0.104171 | + | 0.388772i | −0.998250 | − | 0.0591380i | \(-0.981165\pi\) |
0.894079 | + | 0.447910i | \(0.147831\pi\) | |||||||
\(278\) | 11.1019 | − | 27.3024i | 0.665849 | − | 1.63749i | ||||
\(279\) | −6.08674 | − | 1.40815i | −0.364404 | − | 0.0843037i | ||||
\(280\) | 15.2270 | − | 7.81539i | 0.909986 | − | 0.467059i | ||||
\(281\) | −24.0107 | −1.43236 | −0.716179 | − | 0.697916i | \(-0.754111\pi\) | ||||
−0.716179 | + | 0.697916i | \(0.754111\pi\) | |||||||
\(282\) | 10.1135 | − | 18.5179i | 0.602249 | − | 1.10272i | ||||
\(283\) | 3.62506 | + | 0.971333i | 0.215488 | + | 0.0577397i | 0.364948 | − | 0.931028i | \(-0.381087\pi\) |
−0.149460 | + | 0.988768i | \(0.547754\pi\) | |||||||
\(284\) | 9.30311 | − | 9.54789i | 0.552038 | − | 0.566563i | ||||
\(285\) | 9.07865 | − | 1.35470i | 0.537773 | − | 0.0802458i | ||||
\(286\) | 24.0048 | + | 18.1732i | 1.41944 | + | 1.07460i | ||||
\(287\) | −3.71731 | + | 2.46544i | −0.219426 | + | 0.145531i | ||||
\(288\) | −5.43149 | + | 16.0779i | −0.320054 | + | 0.947399i | ||||
\(289\) | 1.90870 | − | 3.30596i | 0.112276 | − | 0.194468i | ||||
\(290\) | −4.11969 | − | 0.515181i | −0.241917 | − | 0.0302525i | ||||
\(291\) | 5.08334 | − | 12.8962i | 0.297991 | − | 0.755990i | ||||
\(292\) | −15.8424 | − | 4.02524i | −0.927108 | − | 0.235559i | ||||
\(293\) | 4.62579 | + | 4.62579i | 0.270242 | + | 0.270242i | 0.829197 | − | 0.558956i | \(-0.188798\pi\) |
−0.558956 | + | 0.829197i | \(0.688798\pi\) | |||||||
\(294\) | 6.29358 | − | 15.9496i | 0.367049 | − | 0.930202i | ||||
\(295\) | 26.7522i | 1.55758i | ||||||||
\(296\) | −2.39282 | + | 21.3862i | −0.139080 | + | 1.24305i | ||||
\(297\) | 4.71092 | + | 25.5149i | 0.273355 | + | 1.48053i | ||||
\(298\) | 2.47869 | + | 3.18723i | 0.143587 | + | 0.184631i | ||||
\(299\) | 19.7592 | − | 5.29446i | 1.14270 | − | 0.306186i | ||||
\(300\) | 0.467926 | − | 0.649534i | 0.0270157 | − | 0.0375009i | ||||
\(301\) | 3.71103 | − | 18.3281i | 0.213900 | − | 1.05642i | ||||
\(302\) | 2.68236 | − | 3.54311i | 0.154352 | − | 0.203883i | ||||
\(303\) | 4.57245 | − | 6.17637i | 0.262680 | − | 0.354823i | ||||
\(304\) | −2.63050 | − | 8.88732i | −0.150870 | − | 0.509723i | ||||
\(305\) | 0.124417 | − | 0.0718322i | 0.00712410 | − | 0.00411310i | ||||
\(306\) | 2.63409 | + | 15.1772i | 0.150581 | + | 0.867625i | ||||
\(307\) | 7.26386 | + | 7.26386i | 0.414571 | + | 0.414571i | 0.883327 | − | 0.468757i | \(-0.155298\pi\) |
−0.468757 | + | 0.883327i | \(0.655298\pi\) | |||||||
\(308\) | −23.8080 | − | 11.4593i | −1.35659 | − | 0.652952i | ||||
\(309\) | 23.0363 | − | 18.3153i | 1.31049 | − | 1.04192i | ||||
\(310\) | 2.53727 | − | 6.23978i | 0.144107 | − | 0.354396i | ||||
\(311\) | 2.24074 | − | 1.29369i | 0.127061 | − | 0.0733587i | −0.435122 | − | 0.900371i | \(-0.643295\pi\) |
0.562183 | + | 0.827013i | \(0.309962\pi\) | |||||||
\(312\) | 20.8732 | − | 0.766447i | 1.18171 | − | 0.0433915i | ||||
\(313\) | 11.4340 | − | 19.8043i | 0.646288 | − | 1.11940i | −0.337714 | − | 0.941249i | \(-0.609654\pi\) |
0.984002 | − | 0.178155i | \(-0.0570129\pi\) | |||||||
\(314\) | 1.42919 | + | 10.3367i | 0.0806537 | + | 0.583336i | ||||
\(315\) | −1.74867 | − | 18.0693i | −0.0985262 | − | 1.01809i | ||||
\(316\) | 1.98717 | + | 7.04881i | 0.111787 | + | 0.396526i | ||||
\(317\) | 12.3483 | − | 3.30871i | 0.693548 | − | 0.185836i | 0.105209 | − | 0.994450i | \(-0.466449\pi\) |
0.588339 | + | 0.808614i | \(0.299782\pi\) | |||||||
\(318\) | 24.5929 | + | 5.96831i | 1.37910 | + | 0.334686i | ||||
\(319\) | 3.20468 | + | 5.55067i | 0.179428 | + | 0.310778i | ||||
\(320\) | −16.1902 | − | 8.52460i | −0.905057 | − | 0.476540i | ||||
\(321\) | 1.64198 | − | 14.3824i | 0.0916462 | − | 0.802746i | ||||
\(322\) | −16.0762 | + | 7.98928i | −0.895893 | + | 0.445225i | ||||
\(323\) | −5.94884 | − | 5.94884i | −0.331002 | − | 0.331002i | ||||
\(324\) | 13.7264 | + | 11.6442i | 0.762576 | + | 0.646898i | ||||
\(325\) | −0.951717 | − | 0.255012i | −0.0527918 | − | 0.0141455i | ||||
\(326\) | −17.8617 | − | 22.9675i | −0.989267 | − | 1.27205i | ||||
\(327\) | −27.3413 | − | 20.2411i | −1.51198 | − | 1.11934i | ||||
\(328\) | 4.44028 | + | 1.73870i | 0.245174 | + | 0.0960039i | ||||
\(329\) | 22.7464 | − | 1.41261i | 1.25405 | − | 0.0778796i | ||||
\(330\) | −27.9667 | + | 0.663444i | −1.53952 | + | 0.0365214i | ||||
\(331\) | 21.7468 | − | 5.82704i | 1.19531 | − | 0.320283i | 0.394329 | − | 0.918969i | \(-0.370977\pi\) |
0.800983 | + | 0.598686i | \(0.204310\pi\) | |||||||
\(332\) | −0.0424730 | − | 3.27089i | −0.00233101 | − | 0.179513i | ||||
\(333\) | 20.1484 | + | 10.7249i | 1.10413 | + | 0.587719i | ||||
\(334\) | 3.95071 | + | 9.36543i | 0.216173 | + | 0.512453i | ||||
\(335\) | −25.0484 | −1.36854 | ||||||||
\(336\) | −17.8217 | + | 4.28800i | −0.972254 | + | 0.233930i | ||||
\(337\) | 27.8912 | 1.51933 | 0.759666 | − | 0.650313i | \(-0.225362\pi\) | ||||
0.759666 | + | 0.650313i | \(0.225362\pi\) | |||||||
\(338\) | −2.84634 | − | 6.74744i | −0.154820 | − | 0.367012i | ||||
\(339\) | 1.43074 | − | 3.62972i | 0.0777071 | − | 0.197140i | ||||
\(340\) | −16.6070 | + | 0.215644i | −0.900639 | + | 0.0116950i | ||||
\(341\) | −10.0443 | + | 2.69137i | −0.543930 | + | 0.145746i | ||||
\(342\) | −9.79092 | − | 0.883130i | −0.529432 | − | 0.0477542i | ||||
\(343\) | 18.2006 | − | 3.42619i | 0.982739 | − | 0.184997i | ||||
\(344\) | −18.3170 | + | 8.00855i | −0.987585 | + | 0.431792i | ||||
\(345\) | −11.3091 | + | 15.2760i | −0.608859 | + | 0.822435i | ||||
\(346\) | −14.2619 | − | 18.3388i | −0.766726 | − | 0.985898i | ||||
\(347\) | −0.699861 | − | 0.187527i | −0.0375705 | − | 0.0100670i | 0.239985 | − | 0.970777i | \(-0.422858\pi\) |
−0.277555 | + | 0.960710i | \(0.589524\pi\) | |||||||
\(348\) | 4.15751 | + | 1.57672i | 0.222866 | + | 0.0845212i | ||||
\(349\) | 18.1572 | + | 18.1572i | 0.971933 | + | 0.971933i | 0.999617 | − | 0.0276836i | \(-0.00881309\pi\) |
−0.0276836 | + | 0.999617i | \(0.508813\pi\) | |||||||
\(350\) | 0.862990 | + | 0.0539072i | 0.0461288 | + | 0.00288146i | ||||
\(351\) | 7.40950 | − | 20.8785i | 0.395490 | − | 1.11441i | ||||
\(352\) | 4.59389 | + | 27.8705i | 0.244855 | + | 1.48550i | ||||
\(353\) | 6.15448 | + | 10.6599i | 0.327570 | + | 0.567368i | 0.982029 | − | 0.188730i | \(-0.0604370\pi\) |
−0.654459 | + | 0.756097i | \(0.727104\pi\) | |||||||
\(354\) | 6.75700 | − | 27.8428i | 0.359130 | − | 1.47983i | ||||
\(355\) | 14.7254 | − | 3.94565i | 0.781541 | − | 0.209413i | ||||
\(356\) | −11.2294 | + | 3.16573i | −0.595155 | + | 0.167783i | ||||
\(357\) | −12.3568 | + | 11.1420i | −0.653991 | + | 0.589697i | ||||
\(358\) | 1.36674 | + | 9.88508i | 0.0722345 | + | 0.522443i | ||||
\(359\) | 11.0225 | − | 19.0915i | 0.581744 | − | 1.00761i | −0.413529 | − | 0.910491i | \(-0.635704\pi\) |
0.995273 | − | 0.0971193i | \(-0.0309628\pi\) | |||||||
\(360\) | −14.7375 | + | 12.6271i | −0.776737 | + | 0.665506i | ||||
\(361\) | −11.8048 | + | 6.81550i | −0.621305 | + | 0.358711i | ||||
\(362\) | −9.40679 | + | 23.1337i | −0.494410 | + | 1.21588i | ||||
\(363\) | 15.0191 | + | 18.8905i | 0.788300 | + | 0.991492i | ||||
\(364\) | 12.7129 | + | 18.6380i | 0.666335 | + | 0.976898i | ||||
\(365\) | −13.2177 | − | 13.2177i | −0.691848 | − | 0.691848i | ||||
\(366\) | −0.147632 | + | 0.0433356i | −0.00771685 | + | 0.00226519i | ||||
\(367\) | −6.05350 | + | 3.49499i | −0.315990 | + | 0.182437i | −0.649604 | − | 0.760273i | \(-0.725065\pi\) |
0.333614 | + | 0.942710i | \(0.391732\pi\) | |||||||
\(368\) | 16.8639 | + | 9.16094i | 0.879090 | + | 0.477547i | ||||
\(369\) | 3.45111 | − | 3.69749i | 0.179658 | − | 0.192484i | ||||
\(370\) | −14.8542 | + | 19.6208i | −0.772232 | + | 1.02004i | ||||
\(371\) | 8.69761 | + | 25.9138i | 0.451558 | + | 1.34538i | ||||
\(372\) | −4.21672 | + | 5.85329i | −0.218627 | + | 0.303479i | ||||
\(373\) | 16.9256 | − | 4.53519i | 0.876372 | − | 0.234823i | 0.207531 | − | 0.978228i | \(-0.433457\pi\) |
0.668841 | + | 0.743405i | \(0.266791\pi\) | |||||||
\(374\) | 15.7400 | + | 20.2393i | 0.813895 | + | 1.04655i | ||||
\(375\) | −17.3267 | + | 7.52919i | −0.894748 | + | 0.388806i | ||||
\(376\) | −15.2053 | − | 19.0365i | −0.784155 | − | 0.981734i | ||||
\(377\) | − | 5.47268i | − | 0.281857i | ||||||
\(378\) | −2.74395 | + | 19.2476i | −0.141133 | + | 0.989991i | ||||
\(379\) | −10.5438 | − | 10.5438i | −0.541596 | − | 0.541596i | 0.382400 | − | 0.923997i | \(-0.375098\pi\) |
−0.923997 | + | 0.382400i | \(0.875098\pi\) | |||||||
\(380\) | 2.61011 | − | 10.2728i | 0.133896 | − | 0.526983i | ||||
\(381\) | −2.13332 | − | 0.840898i | −0.109293 | − | 0.0430805i | ||||
\(382\) | −29.2540 | − | 3.65830i | −1.49676 | − | 0.187175i | ||||
\(383\) | −2.92096 | + | 5.05925i | −0.149254 | + | 0.258516i | −0.930952 | − | 0.365142i | \(-0.881021\pi\) |
0.781698 | + | 0.623657i | \(0.214354\pi\) | |||||||
\(384\) | 14.6970 | + | 12.9614i | 0.750005 | + | 0.661432i | ||||
\(385\) | −16.7009 | − | 25.1810i | −0.851157 | − | 1.28334i | ||||
\(386\) | −11.1089 | − | 8.41012i | −0.565427 | − | 0.428064i | ||||
\(387\) | 0.730372 | + | 21.1913i | 0.0371269 | + | 1.07721i | ||||
\(388\) | −11.4642 | − | 11.1703i | −0.582007 | − | 0.567086i | ||||
\(389\) | −5.57043 | − | 1.49259i | −0.282432 | − | 0.0756775i | 0.114822 | − | 0.993386i | \(-0.463370\pi\) |
−0.397254 | + | 0.917709i | \(0.630037\pi\) | |||||||
\(390\) | 20.9635 | + | 11.4492i | 1.06153 | + | 0.579752i | ||||
\(391\) | 17.4200 | 0.880969 | ||||||||
\(392\) | −14.1756 | − | 13.8222i | −0.715976 | − | 0.698125i | ||||
\(393\) | 1.05696 | − | 9.25808i | 0.0533164 | − | 0.467008i | ||||
\(394\) | 11.6119 | − | 28.5566i | 0.584999 | − | 1.43866i | ||||
\(395\) | −2.16763 | + | 8.08969i | −0.109065 | + | 0.407037i | ||||
\(396\) | 29.2743 | + | 6.37325i | 1.47109 | + | 0.320268i | ||||
\(397\) | 16.1311 | − | 4.32231i | 0.809596 | − | 0.216931i | 0.169803 | − | 0.985478i | \(-0.445687\pi\) |
0.639793 | + | 0.768547i | \(0.279020\pi\) | |||||||
\(398\) | 3.73451 | + | 2.82726i | 0.187194 | + | 0.141718i | ||||
\(399\) | −4.82733 | − | 9.45758i | −0.241669 | − | 0.473471i | ||||
\(400\) | −0.482818 | − | 0.788260i | −0.0241409 | − | 0.0394130i | ||||
\(401\) | 13.1124 | + | 7.57043i | 0.654800 | + | 0.378049i | 0.790293 | − | 0.612729i | \(-0.209928\pi\) |
−0.135493 | + | 0.990778i | \(0.543262\pi\) | |||||||
\(402\) | 26.0696 | + | 6.32666i | 1.30023 | + | 0.315545i | ||||
\(403\) | 8.57641 | + | 2.29804i | 0.427222 | + | 0.114474i | ||||
\(404\) | −4.53618 | − | 7.62646i | −0.225683 | − | 0.379431i | ||||
\(405\) | 6.68394 | + | 19.4690i | 0.332127 | + | 0.967424i | ||||
\(406\) | 0.951399 | + | 4.70754i | 0.0472171 | + | 0.233631i | ||||
\(407\) | 37.9910 | 1.88315 | ||||||||
\(408\) | 17.3384 | + | 3.97010i | 0.858380 | + | 0.196549i | ||||
\(409\) | −4.11247 | − | 7.12300i | −0.203348 | − | 0.352210i | 0.746257 | − | 0.665658i | \(-0.231849\pi\) |
−0.949605 | + | 0.313448i | \(0.898516\pi\) | |||||||
\(410\) | 3.34774 | + | 4.30470i | 0.165333 | + | 0.212594i | ||||
\(411\) | 4.14307 | + | 27.7651i | 0.204363 | + | 1.36955i | ||||
\(412\) | −9.22085 | − | 32.7079i | −0.454279 | − | 1.61140i | ||||
\(413\) | 29.3382 | − | 9.84697i | 1.44364 | − | 0.484538i | ||||
\(414\) | 15.6285 | − | 13.0424i | 0.768096 | − | 0.640998i | ||||
\(415\) | 1.87042 | − | 3.23966i | 0.0918151 | − | 0.159028i | ||||
\(416\) | 8.50172 | − | 22.5705i | 0.416831 | − | 1.10661i | ||||
\(417\) | −33.1066 | + | 14.3862i | −1.62124 | + | 0.704496i | ||||
\(418\) | −15.0761 | + | 6.35972i | −0.737397 | + | 0.311064i | ||||
\(419\) | 17.0427 | − | 17.0427i | 0.832592 | − | 0.832592i | −0.155279 | − | 0.987871i | \(-0.549628\pi\) |
0.987871 | + | 0.155279i | \(0.0496277\pi\) | |||||||
\(420\) | −20.0230 | − | 6.20406i | −0.977023 | − | 0.302727i | ||||
\(421\) | −12.2954 | − | 12.2954i | −0.599242 | − | 0.599242i | 0.340869 | − | 0.940111i | \(-0.389279\pi\) |
−0.940111 | + | 0.340869i | \(0.889279\pi\) | |||||||
\(422\) | −12.6650 | + | 31.1465i | −0.616525 | + | 1.51619i | ||||
\(423\) | −24.7159 | + | 7.54413i | −1.20173 | + | 0.366808i | ||||
\(424\) | 17.3342 | − | 23.5252i | 0.841823 | − | 1.14249i | ||||
\(425\) | −0.726639 | − | 0.419525i | −0.0352472 | − | 0.0203500i | ||||
\(426\) | −16.3222 | + | 0.387207i | −0.790815 | + | 0.0187602i | ||||
\(427\) | −0.124571 | − | 0.110003i | −0.00602842 | − | 0.00532344i | ||||
\(428\) | −14.5831 | − | 8.16895i | −0.704901 | − | 0.394861i | ||||
\(429\) | −5.44214 | − | 36.4709i | −0.262749 | − | 1.76083i | ||||
\(430\) | −22.6848 | − | 2.83681i | −1.09396 | − | 0.136803i | ||||
\(431\) | −3.60898 | + | 2.08365i | −0.173839 | + | 0.100366i | −0.584395 | − | 0.811470i | \(-0.698668\pi\) |
0.410556 | + | 0.911835i | \(0.365335\pi\) | |||||||
\(432\) | 18.5276 | − | 9.41948i | 0.891412 | − | 0.453195i | ||||
\(433\) | − | 7.55994i | − | 0.363308i | −0.983363 | − | 0.181654i | \(-0.941855\pi\) | ||
0.983363 | − | 0.181654i | \(-0.0581450\pi\) | |||||||
\(434\) | −7.77685 | − | 0.485785i | −0.373301 | − | 0.0233184i | ||||
\(435\) | 3.16450 | + | 3.98018i | 0.151726 | + | 0.190835i | ||||
\(436\) | −33.7605 | + | 20.0806i | −1.61684 | + | 0.961685i | ||||
\(437\) | −2.87734 | + | 10.7384i | −0.137642 | + | 0.513687i | ||||
\(438\) | 10.4181 | + | 17.0951i | 0.497795 | + | 0.816834i | ||||
\(439\) | −16.8442 | + | 29.1751i | −0.803931 | + | 1.39245i | 0.113079 | + | 0.993586i | \(0.463929\pi\) |
−0.917010 | + | 0.398863i | \(0.869405\pi\) | |||||||
\(440\) | −11.7780 | + | 30.0785i | −0.561493 | + | 1.43393i | ||||
\(441\) | −19.1723 | + | 8.56867i | −0.912968 | + | 0.408032i | ||||
\(442\) | −2.99838 | − | 21.6860i | −0.142618 | − | 1.03150i | ||||
\(443\) | −1.81131 | − | 6.75988i | −0.0860577 | − | 0.321172i | 0.909455 | − | 0.415803i | \(-0.136499\pi\) |
−0.995512 | + | 0.0946313i | \(0.969833\pi\) | |||||||
\(444\) | 20.4155 | − | 16.6688i | 0.968876 | − | 0.791067i | ||||
\(445\) | −12.8876 | − | 3.45322i | −0.610930 | − | 0.163698i | ||||
\(446\) | −2.15327 | − | 5.10447i | −0.101960 | − | 0.241704i | ||||
\(447\) | 0.560912 | − | 4.91314i | 0.0265302 | − | 0.232383i | ||||
\(448\) | −3.38933 | + | 20.8929i | −0.160131 | + | 0.987096i | ||||
\(449\) | − | 1.64255i | − | 0.0775167i | −0.999249 | − | 0.0387583i | \(-0.987660\pi\) | ||
0.999249 | − | 0.0387583i | \(-0.0123403\pi\) | |||||||
\(450\) | −0.966005 | + | 0.167656i | −0.0455379 | + | 0.00790337i | ||||
\(451\) | 2.17887 | − | 8.13163i | 0.102599 | − | 0.382904i | ||||
\(452\) | −3.22668 | − | 3.14395i | −0.151770 | − | 0.147879i | ||||
\(453\) | −5.38310 | + | 0.803258i | −0.252920 | + | 0.0377404i | ||||
\(454\) | 25.5693 | − | 3.53529i | 1.20003 | − | 0.165920i | ||||
\(455\) | 1.59917 | + | 25.7505i | 0.0749704 | + | 1.20720i | ||||
\(456\) | −5.31118 | + | 10.0323i | −0.248719 | + | 0.469806i | ||||
\(457\) | 10.1807 | + | 5.87785i | 0.476235 | + | 0.274954i | 0.718846 | − | 0.695169i | \(-0.244671\pi\) |
−0.242611 | + | 0.970124i | \(0.578004\pi\) | |||||||
\(458\) | −5.40162 | − | 6.94569i | −0.252401 | − | 0.324551i | ||||
\(459\) | 10.6965 | − | 15.5408i | 0.499269 | − | 0.725381i | ||||
\(460\) | 11.2193 | + | 18.8626i | 0.523105 | + | 0.879471i | ||||
\(461\) | 8.82233 | − | 8.82233i | 0.410897 | − | 0.410897i | −0.471154 | − | 0.882051i | \(-0.656162\pi\) |
0.882051 | + | 0.471154i | \(0.156162\pi\) | |||||||
\(462\) | 11.0216 | + | 30.4258i | 0.512770 | + | 1.41554i | ||||
\(463\) | −1.30521 | −0.0606581 | −0.0303290 | − | 0.999540i | \(-0.509656\pi\) | ||||
−0.0303290 | + | 0.999540i | \(0.509656\pi\) | |||||||
\(464\) | 3.53502 | − | 3.72356i | 0.164109 | − | 0.172862i | ||||
\(465\) | −7.56629 | + | 3.28787i | −0.350878 | + | 0.152471i | ||||
\(466\) | 2.01461 | − | 16.1100i | 0.0933250 | − | 0.746282i | ||||
\(467\) | −0.966897 | − | 3.60851i | −0.0447427 | − | 0.166982i | 0.939939 | − | 0.341341i | \(-0.110881\pi\) |
−0.984682 | + | 0.174359i | \(0.944215\pi\) | |||||||
\(468\) | −18.9263 | − | 17.2108i | −0.874870 | − | 0.795571i | ||||
\(469\) | 9.21985 | + | 27.4697i | 0.425733 | + | 1.26843i | ||||
\(470\) | −3.81596 | − | 27.5993i | −0.176017 | − | 1.27306i | ||||
\(471\) | 7.60435 | − | 10.2718i | 0.350390 | − | 0.473300i | ||||
\(472\) | −26.6340 | − | 19.6248i | −1.22593 | − | 0.903307i | ||||
\(473\) | 17.6464 | + | 30.5644i | 0.811381 | + | 1.40535i | ||||
\(474\) | 4.29926 | − | 7.87198i | 0.197472 | − | 0.361572i | ||||
\(475\) | 0.378634 | − | 0.378634i | 0.0173729 | − | 0.0173729i | ||||
\(476\) | 6.34919 | + | 18.1329i | 0.291015 | + | 0.831118i | ||||
\(477\) | −16.4125 | − | 26.2921i | −0.751479 | − | 1.20383i | ||||
\(478\) | −8.39666 | − | 19.9048i | −0.384054 | − | 0.910425i | ||||
\(479\) | −0.168509 | − | 0.291866i | −0.00769936 | − | 0.0133357i | 0.862150 | − | 0.506653i | \(-0.169117\pi\) |
−0.869849 | + | 0.493317i | \(0.835784\pi\) | |||||||
\(480\) | 6.86792 | + | 21.3311i | 0.313476 | + | 0.973628i | ||||
\(481\) | −28.0929 | − | 16.2195i | −1.28093 | − | 0.739544i | ||||
\(482\) | −5.91193 | + | 7.80903i | −0.269281 | + | 0.355692i | ||||
\(483\) | 20.9153 | + | 6.77940i | 0.951680 | + | 0.308474i | ||||
\(484\) | 26.8215 | − | 7.56138i | 1.21916 | − | 0.343699i | ||||
\(485\) | −4.73757 | − | 17.6808i | −0.215122 | − | 0.802846i | ||||
\(486\) | −2.03898 | − | 21.9509i | −0.0924899 | − | 0.995714i | ||||
\(487\) | −29.5667 | + | 17.0704i | −1.33980 | + | 0.773532i | −0.986777 | − | 0.162084i | \(-0.948178\pi\) |
−0.353020 | + | 0.935616i | \(0.614845\pi\) | |||||||
\(488\) | −0.0197549 | + | 0.176562i | −0.000894260 | + | 0.00799257i | ||||
\(489\) | −4.04199 | + | 35.4045i | −0.182785 | + | 1.60105i | ||||
\(490\) | −5.85220 | − | 21.8723i | −0.264375 | − | 0.988091i | ||||
\(491\) | −5.60241 | + | 5.60241i | −0.252833 | + | 0.252833i | −0.822131 | − | 0.569298i | \(-0.807215\pi\) |
0.569298 | + | 0.822131i | \(0.307215\pi\) | |||||||
\(492\) | −2.39694 | − | 5.32574i | −0.108062 | − | 0.240103i | ||||
\(493\) | 1.20620 | − | 4.50161i | 0.0543246 | − | 0.202742i | ||||
\(494\) | 13.8634 | + | 1.73366i | 0.623742 | + | 0.0780010i | ||||
\(495\) | 25.0468 | + | 23.3778i | 1.12577 | + | 1.05075i | ||||
\(496\) | 4.35092 | + | 7.10342i | 0.195362 | + | 0.318953i | ||||
\(497\) | −9.74717 | − | 14.6964i | −0.437220 | − | 0.659225i | ||||
\(498\) | −2.76493 | + | 2.89930i | −0.123899 | + | 0.129921i | ||||
\(499\) | −1.58476 | − | 5.91441i | −0.0709437 | − | 0.264765i | 0.921339 | − | 0.388759i | \(-0.127096\pi\) |
−0.992283 | + | 0.123994i | \(0.960430\pi\) | |||||||
\(500\) | 0.283241 | + | 21.8127i | 0.0126669 | + | 0.975491i | ||||
\(501\) | 4.56523 | − | 11.5818i | 0.203959 | − | 0.517436i | ||||
\(502\) | 36.1336 | + | 14.6929i | 1.61272 | + | 0.655778i | ||||
\(503\) | 6.05568i | 0.270010i | 0.990845 | + | 0.135005i | \(0.0431050\pi\) | ||||
−0.990845 | + | 0.135005i | \(0.956895\pi\) | |||||||
\(504\) | 19.2723 | + | 11.5143i | 0.858455 | + | 0.512889i | ||||
\(505\) | − | 10.1476i | − | 0.451562i | ||||||
\(506\) | 12.7622 | − | 31.3854i | 0.567347 | − | 1.39525i | ||||
\(507\) | −3.28907 | + | 8.34424i | −0.146073 | + | 0.370581i | ||||
\(508\) | −1.84782 | + | 1.89644i | −0.0819836 | + | 0.0841407i | ||||
\(509\) | −4.94367 | − | 18.4500i | −0.219124 | − | 0.817783i | −0.984674 | − | 0.174406i | \(-0.944200\pi\) |
0.765550 | − | 0.643377i | \(-0.222467\pi\) | |||||||
\(510\) | 14.7203 | + | 14.0381i | 0.651827 | + | 0.621618i | ||||
\(511\) | −9.63021 | + | 19.3606i | −0.426015 | + | 0.856462i | ||||
\(512\) | 20.3637 | − | 9.86515i | 0.899955 | − | 0.435982i | ||||
\(513\) | 7.81315 | + | 9.16066i | 0.344959 | + | 0.404453i | ||||
\(514\) | −4.77866 | + | 38.2130i | −0.210778 | + | 1.68550i | ||||
\(515\) | 10.0582 | − | 37.5378i | 0.443219 | − | 1.65411i | ||||
\(516\) | 22.8931 | + | 8.68213i | 1.00781 | + | 0.382209i | ||||
\(517\) | −30.4141 | + | 30.4141i | −1.33761 | + | 1.33761i | ||||
\(518\) | 26.9849 | + | 9.06800i | 1.18565 | + | 0.398425i | ||||
\(519\) | −3.22739 | + | 28.2693i | −0.141667 | + | 1.24088i | ||||
\(520\) | 21.5507 | − | 17.2135i | 0.945062 | − | 0.754863i | ||||
\(521\) | 23.2306 | − | 13.4122i | 1.01775 | − | 0.587599i | 0.104300 | − | 0.994546i | \(-0.466740\pi\) |
0.913452 | + | 0.406947i | \(0.133406\pi\) | |||||||
\(522\) | −2.28820 | − | 4.94172i | −0.100152 | − | 0.216293i | ||||
\(523\) | −10.5242 | − | 39.2768i | −0.460191 | − | 1.71745i | −0.672362 | − | 0.740222i | \(-0.734720\pi\) |
0.212172 | − | 0.977232i | \(-0.431946\pi\) | |||||||
\(524\) | −9.38729 | − | 5.25843i | −0.410086 | − | 0.229716i | ||||
\(525\) | −0.709169 | − | 0.786490i | −0.0309507 | − | 0.0343252i | ||||
\(526\) | 12.9888 | + | 9.83338i | 0.566341 | + | 0.428756i | ||||
\(527\) | 6.54812 | + | 3.78056i | 0.285241 | + | 0.164684i | ||||
\(528\) | 19.8552 | − | 28.3298i | 0.864088 | − | 1.23290i | ||||
\(529\) | −0.00977884 | − | 0.0169374i | −0.000425167 | − | 0.000736411i | ||||
\(530\) | 30.7899 | − | 12.9884i | 1.33743 | − | 0.564182i | ||||
\(531\) | −29.7666 | + | 18.5814i | −1.29176 | + | 0.806364i | ||||
\(532\) | −12.2265 | + | 0.918803i | −0.530087 | + | 0.0398352i | ||||
\(533\) | −5.08282 | + | 5.08282i | −0.220161 | + | 0.220161i | ||||
\(534\) | 12.5408 | + | 6.84910i | 0.542691 | + | 0.296389i | ||||
\(535\) | −9.55759 | − | 16.5542i | −0.413211 | − | 0.715702i | ||||
\(536\) | 18.3750 | − | 24.9377i | 0.793679 | − | 1.07715i | ||||
\(537\) | 7.27208 | − | 9.82298i | 0.313813 | − | 0.423893i | ||||
\(538\) | −5.53808 | + | 0.765711i | −0.238763 | + | 0.0330122i | ||||
\(539\) | −21.4678 | + | 27.5839i | −0.924685 | + | 1.18812i | ||||
\(540\) | 23.7167 | + | 1.57323i | 1.02061 | + | 0.0677011i | ||||
\(541\) | 7.36902 | + | 27.5016i | 0.316819 | + | 1.18238i | 0.922284 | + | 0.386513i | \(0.126320\pi\) |
−0.605465 | + | 0.795872i | \(0.707013\pi\) | |||||||
\(542\) | −25.9431 | − | 3.24427i | −1.11435 | − | 0.139353i | ||||
\(543\) | 28.0516 | − | 12.1896i | 1.20381 | − | 0.523106i | ||||
\(544\) | 11.9678 | − | 16.6918i | 0.513116 | − | 0.715653i | ||||
\(545\) | −44.9210 | −1.92420 | ||||||||
\(546\) | 4.83962 | − | 27.2042i | 0.207117 | − | 1.16423i | ||||
\(547\) | −14.6914 | + | 14.6914i | −0.628160 | + | 0.628160i | −0.947605 | − | 0.319445i | \(-0.896504\pi\) |
0.319445 | + | 0.947605i | \(0.396504\pi\) | |||||||
\(548\) | 31.4171 | + | 7.98246i | 1.34207 | + | 0.340994i | ||||
\(549\) | 0.166343 | + | 0.0885431i | 0.00709934 | + | 0.00377893i | ||||
\(550\) | −1.28820 | + | 1.00182i | −0.0549289 | + | 0.0427179i | ||||
\(551\) | 2.57573 | + | 1.48710i | 0.109730 | + | 0.0633525i | ||||
\(552\) | −6.91246 | − | 22.4652i | −0.294214 | − | 0.956184i | ||||
\(553\) | 9.66953 | − | 0.600503i | 0.411190 | − | 0.0255360i | ||||
\(554\) | −1.29748 | − | 9.38413i | −0.0551246 | − | 0.398694i | ||||
\(555\) | 29.8102 | − | 4.44824i | 1.26537 | − | 0.188817i | ||||
\(556\) | 0.541196 | + | 41.6780i | 0.0229518 | + | 1.76754i | ||||
\(557\) | −4.11569 | + | 15.3600i | −0.174388 | + | 0.650823i | 0.822268 | + | 0.569101i | \(0.192709\pi\) |
−0.996655 | + | 0.0817222i | \(0.973958\pi\) | |||||||
\(558\) | 8.70517 | − | 1.51083i | 0.368519 | − | 0.0639586i | ||||
\(559\) | − | 30.1350i | − | 1.27457i | ||||||
\(560\) | −15.5452 | + | 18.5534i | −0.656906 | + | 0.784024i | ||||
\(561\) | 3.56186 | − | 31.1990i | 0.150382 | − | 1.31722i | ||||
\(562\) | 31.2865 | − | 13.1979i | 1.31974 | − | 0.556720i | ||||
\(563\) | −30.9782 | − | 8.30059i | −1.30558 | − | 0.349828i | −0.462021 | − | 0.886869i | \(-0.652875\pi\) |
−0.843556 | + | 0.537041i | \(0.819542\pi\) | |||||||
\(564\) | −2.99943 | + | 29.6882i | −0.126299 | + | 1.25010i | ||||
\(565\) | −1.33342 | − | 4.97639i | −0.0560973 | − | 0.209358i | ||||
\(566\) | −5.25745 | + | 0.726910i | −0.220987 | + | 0.0305543i | ||||
\(567\) | 18.8907 | − | 14.4962i | 0.793337 | − | 0.608783i | ||||
\(568\) | −6.87399 | + | 17.5547i | −0.288426 | + | 0.736580i | ||||
\(569\) | −2.20195 | + | 3.81388i | −0.0923104 | + | 0.159886i | −0.908483 | − | 0.417922i | \(-0.862759\pi\) |
0.816173 | + | 0.577808i | \(0.196092\pi\) | |||||||
\(570\) | −11.0850 | + | 6.75545i | −0.464302 | + | 0.282955i | ||||
\(571\) | 11.8122 | − | 44.0838i | 0.494326 | − | 1.84485i | −0.0394475 | − | 0.999222i | \(-0.512560\pi\) |
0.533773 | − | 0.845628i | \(-0.320774\pi\) | |||||||
\(572\) | −41.2680 | − | 10.4854i | −1.72550 | − | 0.438416i | ||||
\(573\) | 22.4711 | + | 28.2633i | 0.938745 | + | 1.18072i | ||||
\(574\) | 3.48856 | − | 5.25581i | 0.145610 | − | 0.219373i | ||||
\(575\) | 1.10876i | 0.0462383i | ||||||||
\(576\) | −1.76015 | − | 23.9354i | −0.0733394 | − | 0.997307i | ||||
\(577\) | −21.7142 | + | 12.5367i | −0.903975 | + | 0.521910i | −0.878488 | − | 0.477765i | \(-0.841447\pi\) |
−0.0254870 | + | 0.999675i | \(0.508114\pi\) | |||||||
\(578\) | −0.669897 | + | 5.35689i | −0.0278640 | + | 0.222817i | ||||
\(579\) | 2.51850 | + | 16.8779i | 0.104665 | + | 0.701421i | ||||
\(580\) | 5.65123 | − | 1.59317i | 0.234655 | − | 0.0661527i | ||||
\(581\) | −4.24127 | − | 0.858762i | −0.175958 | − | 0.0356274i | ||||
\(582\) | 0.464922 | + | 19.5982i | 0.0192716 | + | 0.812372i | ||||
\(583\) | −44.6769 | − | 25.7942i | −1.85033 | − | 1.06829i | ||||
\(584\) | 22.8556 | − | 3.46308i | 0.945770 | − | 0.143303i | ||||
\(585\) | −8.54050 | − | 27.9802i | −0.353106 | − | 1.15684i | ||||
\(586\) | −8.57015 | − | 3.48486i | −0.354030 | − | 0.143958i | ||||
\(587\) | 25.9552 | + | 25.9552i | 1.07128 | + | 1.07128i | 0.997256 | + | 0.0740286i | \(0.0235856\pi\) |
0.0740286 | + | 0.997256i | \(0.476414\pi\) | |||||||
\(588\) | 0.566317 | + | 24.2421i | 0.0233545 | + | 0.999727i | ||||
\(589\) | −3.41206 | + | 3.41206i | −0.140592 | + | 0.140592i | ||||
\(590\) | −14.7048 | − | 34.8587i | −0.605388 | − | 1.43511i | ||||
\(591\) | −34.6274 | + | 15.0471i | −1.42438 | + | 0.618954i | ||||
\(592\) | −8.63738 | − | 29.1819i | −0.354994 | − | 1.19937i | ||||
\(593\) | −3.16424 | + | 5.48062i | −0.129940 | + | 0.225062i | −0.923653 | − | 0.383230i | \(-0.874812\pi\) |
0.793713 | + | 0.608292i | \(0.208145\pi\) | |||||||
\(594\) | −20.1631 | − | 30.6571i | −0.827303 | − | 1.25787i | ||||
\(595\) | −4.36011 | + | 21.5338i | −0.178747 | + | 0.882801i | ||||
\(596\) | −4.98170 | − | 2.79058i | −0.204059 | − | 0.114307i | ||||
\(597\) | −0.846651 | − | 5.67390i | −0.0346511 | − | 0.232217i | ||||
\(598\) | −22.8365 | + | 17.7598i | −0.933852 | + | 0.726251i | ||||
\(599\) | 2.71989 | + | 4.71099i | 0.111132 | + | 0.192486i | 0.916227 | − | 0.400660i | \(-0.131219\pi\) |
−0.805095 | + | 0.593146i | \(0.797886\pi\) | |||||||
\(600\) | −0.252690 | + | 1.10356i | −0.0103160 | + | 0.0450527i | ||||
\(601\) | 20.6521 | 0.842418 | 0.421209 | − | 0.906964i | \(-0.361606\pi\) | ||||
0.421209 | + | 0.906964i | \(0.361606\pi\) | |||||||
\(602\) | 5.23882 | + | 25.9218i | 0.213518 | + | 1.05649i | ||||
\(603\) | −17.3980 | − | 27.8708i | −0.708502 | − | 1.13499i | ||||
\(604\) | −1.54764 | + | 6.09115i | −0.0629725 | + | 0.247845i | ||||
\(605\) | 30.7822 | + | 8.24805i | 1.25147 | + | 0.335331i | ||||
\(606\) | −2.56305 | + | 10.5613i | −0.104117 | + | 0.429022i | ||||
\(607\) | −13.7330 | − | 7.92878i | −0.557407 | − | 0.321819i | 0.194697 | − | 0.980863i | \(-0.437628\pi\) |
−0.752104 | + | 0.659044i | \(0.770961\pi\) | |||||||
\(608\) | 8.31267 | + | 10.1345i | 0.337123 | + | 0.411007i | ||||
\(609\) | 3.20013 | − | 4.93542i | 0.129676 | − | 0.199993i | ||||
\(610\) | −0.122634 | + | 0.161987i | −0.00496532 | + | 0.00655866i | ||||
\(611\) | 35.4748 | − | 9.50543i | 1.43515 | − | 0.384549i | ||||
\(612\) | −11.7747 | − | 18.3284i | −0.475964 | − | 0.740881i | ||||
\(613\) | 6.94930 | − | 25.9351i | 0.280680 | − | 1.04751i | −0.671259 | − | 0.741223i | \(-0.734246\pi\) |
0.951939 | − | 0.306288i | \(-0.0990871\pi\) | |||||||
\(614\) | −13.4577 | − | 5.47227i | −0.543108 | − | 0.220843i | ||||
\(615\) | 0.757572 | − | 6.63571i | 0.0305483 | − | 0.267578i | ||||
\(616\) | 37.3212 | + | 1.84517i | 1.50371 | + | 0.0743440i | ||||
\(617\) | 1.50611 | 0.0606336 | 0.0303168 | − | 0.999540i | \(-0.490348\pi\) | ||||
0.0303168 | + | 0.999540i | \(0.490348\pi\) | |||||||
\(618\) | −19.9494 | + | 36.5276i | −0.802484 | + | 1.46936i | ||||
\(619\) | 20.9091 | + | 5.60257i | 0.840407 | + | 0.225186i | 0.653249 | − | 0.757143i | \(-0.273406\pi\) |
0.187158 | + | 0.982330i | \(0.440072\pi\) | |||||||
\(620\) | 0.123687 | + | 9.52522i | 0.00496737 | + | 0.382542i | ||||
\(621\) | −24.8523 | − | 1.97297i | −0.997287 | − | 0.0791725i | ||||
\(622\) | −2.20864 | + | 2.91737i | −0.0885583 | + | 0.116976i | ||||
\(623\) | 0.956653 | + | 15.4044i | 0.0383275 | + | 0.617164i | ||||
\(624\) | −26.7770 | + | 12.4720i | −1.07194 | + | 0.499281i | ||||
\(625\) | −13.0510 | + | 22.6050i | −0.522041 | + | 0.904202i | ||||
\(626\) | −4.01300 | + | 32.0903i | −0.160392 | + | 1.28259i | ||||
\(627\) | 18.6439 | + | 7.34894i | 0.744567 | + | 0.293488i | ||||
\(628\) | −7.54403 | − | 12.6834i | −0.301039 | − | 0.506123i | ||||
\(629\) | −19.5333 | − | 19.5333i | −0.778843 | − | 0.778843i | ||||
\(630\) | 12.2107 | + | 22.5836i | 0.486485 | + | 0.899751i | ||||
\(631\) | 3.06735i | 0.122109i | 0.998134 | + | 0.0610547i | \(0.0194464\pi\) | ||||
−0.998134 | + | 0.0610547i | \(0.980554\pi\) | |||||||
\(632\) | −6.46382 | − | 8.09247i | −0.257117 | − | 0.321901i | ||||
\(633\) | 37.7679 | − | 16.4118i | 1.50114 | − | 0.652309i | ||||
\(634\) | −14.2714 | + | 11.0988i | −0.566789 | + | 0.440788i | ||||
\(635\) | −2.92480 | + | 0.783699i | −0.116067 | + | 0.0311001i | ||||
\(636\) | −35.3257 | + | 5.74109i | −1.40075 | + | 0.227649i | ||||
\(637\) | 27.6510 | − | 11.2320i | 1.09557 | − | 0.445029i | ||||
\(638\) | −7.22679 | − | 5.47113i | −0.286111 | − | 0.216604i | ||||
\(639\) | 14.6181 | + | 13.6440i | 0.578283 | + | 0.539749i | ||||
\(640\) | 25.7818 | + | 2.20854i | 1.01912 | + | 0.0873003i | ||||
\(641\) | 20.2244 | − | 11.6766i | 0.798815 | − | 0.461196i | −0.0442413 | − | 0.999021i | \(-0.514087\pi\) |
0.843057 | + | 0.537825i | \(0.180754\pi\) | |||||||
\(642\) | 5.76599 | + | 19.6431i | 0.227566 | + | 0.775251i | ||||
\(643\) | −16.8263 | − | 16.8263i | −0.663564 | − | 0.663564i | 0.292654 | − | 0.956218i | \(-0.405461\pi\) |
−0.956218 | + | 0.292654i | \(0.905461\pi\) | |||||||
\(644\) | 16.5562 | − | 19.2468i | 0.652407 | − | 0.758429i | ||||
\(645\) | 17.4251 | + | 21.9166i | 0.686114 | + | 0.862966i | ||||
\(646\) | 11.0213 | + | 4.48159i | 0.433629 | + | 0.176326i | ||||
\(647\) | 18.2157 | − | 10.5168i | 0.716131 | − | 0.413459i | −0.0971959 | − | 0.995265i | \(-0.530987\pi\) |
0.813327 | + | 0.581807i | \(0.197654\pi\) | |||||||
\(648\) | −24.2862 | − | 7.62766i | −0.954051 | − | 0.299643i | ||||
\(649\) | −29.2028 | + | 50.5808i | −1.14631 | + | 1.98547i | ||||
\(650\) | 1.38028 | − | 0.190842i | 0.0541390 | − | 0.00748542i | ||||
\(651\) | 6.39069 | + | 7.08747i | 0.250471 | + | 0.277780i | ||||
\(652\) | 35.8986 | + | 20.1092i | 1.40590 | + | 0.787536i | ||||
\(653\) | −12.3807 | + | 3.31741i | −0.484496 | + | 0.129820i | −0.492795 | − | 0.870145i | \(-0.664025\pi\) |
0.00829958 | + | 0.999966i | \(0.497358\pi\) | |||||||
\(654\) | 46.7522 | + | 11.3460i | 1.82816 | + | 0.443664i | ||||
\(655\) | −6.15232 | − | 10.6561i | −0.240391 | − | 0.416369i | ||||
\(656\) | −6.74150 | + | 0.175109i | −0.263211 | + | 0.00683684i | ||||
\(657\) | 5.52636 | − | 23.8878i | 0.215604 | − | 0.931950i | ||||
\(658\) | −28.8626 | + | 14.3436i | −1.12518 | + | 0.559171i | ||||
\(659\) | 12.7252 | + | 12.7252i | 0.495704 | + | 0.495704i | 0.910098 | − | 0.414394i | \(-0.136006\pi\) |
−0.414394 | + | 0.910098i | \(0.636006\pi\) | |||||||
\(660\) | 36.0765 | − | 16.2368i | 1.40428 | − | 0.632019i | ||||
\(661\) | −15.3558 | − | 4.11459i | −0.597273 | − | 0.160039i | −0.0524980 | − | 0.998621i | \(-0.516718\pi\) |
−0.544775 | + | 0.838582i | \(0.683385\pi\) | |||||||
\(662\) | −25.1336 | + | 19.5463i | −0.976846 | + | 0.759687i | ||||
\(663\) | −15.9536 | + | 21.5498i | −0.619587 | + | 0.836925i | ||||
\(664\) | 1.85324 | + | 4.23869i | 0.0719197 | + | 0.164493i | ||||
\(665\) | −12.5541 | − | 6.24457i | −0.486827 | − | 0.242154i | ||||
\(666\) | −32.1489 | − | 2.89980i | −1.24575 | − | 0.112365i | ||||
\(667\) | −5.94861 | + | 1.59393i | −0.230331 | + | 0.0617170i | ||||
\(668\) | −10.2957 | − | 10.0318i | −0.398354 | − | 0.388141i | ||||
\(669\) | −2.48820 | + | 6.31246i | −0.0961995 | + | 0.244054i | ||||
\(670\) | 32.6387 | − | 13.7683i | 1.26094 | − | 0.531916i | ||||
\(671\) | 0.313649 | 0.0121083 | ||||||||
\(672\) | 20.8651 | − | 15.3834i | 0.804888 | − | 0.593426i | ||||
\(673\) | 14.1477 | 0.545354 | 0.272677 | − | 0.962106i | \(-0.412091\pi\) | ||||
0.272677 | + | 0.962106i | \(0.412091\pi\) | |||||||
\(674\) | −36.3429 | + | 15.3309i | −1.39988 | + | 0.590524i | ||||
\(675\) | 0.989144 | + | 0.680813i | 0.0380722 | + | 0.0262045i | ||||
\(676\) | 7.41769 | + | 7.22752i | 0.285296 | + | 0.277981i | ||||
\(677\) | 20.5797 | − | 5.51430i | 0.790941 | − | 0.211932i | 0.159338 | − | 0.987224i | \(-0.449064\pi\) |
0.631603 | + | 0.775292i | \(0.282397\pi\) | |||||||
\(678\) | 0.130855 | + | 5.51604i | 0.00502547 | + | 0.211842i | ||||
\(679\) | −17.6461 | + | 11.7035i | −0.677196 | + | 0.449139i | ||||
\(680\) | 21.5207 | − | 9.40929i | 0.825281 | − | 0.360830i | ||||
\(681\) | −25.4087 | − | 18.8104i | −0.973665 | − | 0.720816i | ||||
\(682\) | 11.6086 | − | 9.02794i | 0.444517 | − | 0.345698i | ||||
\(683\) | −2.50429 | − | 0.671022i | −0.0958239 | − | 0.0256759i | 0.210589 | − | 0.977575i | \(-0.432462\pi\) |
−0.306412 | + | 0.951899i | \(0.599129\pi\) | |||||||
\(684\) | 13.2432 | − | 4.23101i | 0.506367 | − | 0.161777i | ||||
\(685\) | 26.2121 | + | 26.2121i | 1.00151 | + | 1.00151i | ||||
\(686\) | −21.8325 | + | 14.4687i | −0.833568 | + | 0.552416i | ||||
\(687\) | −1.22235 | + | 10.7068i | −0.0466357 | + | 0.408491i | ||||
\(688\) | 19.4654 | − | 20.5036i | 0.742110 | − | 0.781691i | ||||
\(689\) | 22.0246 | + | 38.1477i | 0.839070 | + | 1.45331i | ||||
\(690\) | 6.33920 | − | 26.1212i | 0.241329 | − | 0.994419i | ||||
\(691\) | 17.9499 | − | 4.80966i | 0.682847 | − | 0.182968i | 0.0993120 | − | 0.995056i | \(-0.468336\pi\) |
0.583535 | + | 0.812088i | \(0.301669\pi\) | |||||||
\(692\) | 28.6638 | + | 16.0565i | 1.08964 | + | 0.610376i | ||||
\(693\) | 16.4183 | − | 36.0728i | 0.623681 | − | 1.37029i | ||||
\(694\) | 1.01501 | − | 0.140339i | 0.0385293 | − | 0.00532718i | ||||
\(695\) | −23.8330 | + | 41.2801i | −0.904039 | + | 1.56584i | ||||
\(696\) | −6.28400 | + | 0.230743i | −0.238194 | + | 0.00874630i | ||||
\(697\) | −5.30120 | + | 3.06065i | −0.200797 | + | 0.115930i | ||||
\(698\) | −33.6397 | − | 13.6788i | −1.27328 | − | 0.517751i | ||||
\(699\) | −15.5645 | + | 12.3747i | −0.588702 | + | 0.468056i | ||||
\(700\) | −1.15413 | + | 0.404115i | −0.0436219 | + | 0.0152741i | ||||
\(701\) | −4.28742 | − | 4.28742i | −0.161934 | − | 0.161934i | 0.621489 | − | 0.783423i | \(-0.286528\pi\) |
−0.783423 | + | 0.621489i | \(0.786528\pi\) | |||||||
\(702\) | 1.82150 | + | 31.2780i | 0.0687481 | + | 1.18051i | ||||
\(703\) | 15.2675 | − | 8.81468i | 0.575824 | − | 0.332452i | ||||
\(704\) | −21.3055 | − | 33.7908i | −0.802980 | − | 1.27354i | ||||
\(705\) | −20.3038 | + | 27.4259i | −0.764684 | + | 1.03292i | ||||
\(706\) | −13.8788 | − | 10.5071i | −0.522336 | − | 0.395441i | ||||
\(707\) | −11.1285 | + | 3.73513i | −0.418530 | + | 0.140474i | ||||
\(708\) | 6.49975 | + | 39.9939i | 0.244276 | + | 1.50306i | ||||
\(709\) | −16.3845 | + | 4.39022i | −0.615333 | + | 0.164878i | −0.553005 | − | 0.833178i | \(-0.686519\pi\) |
−0.0623278 | + | 0.998056i | \(0.519852\pi\) | |||||||
\(710\) | −17.0187 | + | 13.2353i | −0.638700 | + | 0.496713i | ||||
\(711\) | −10.5068 | + | 3.20703i | −0.394035 | + | 0.120273i | ||||
\(712\) | 12.8920 | − | 10.2974i | 0.483148 | − | 0.385912i | ||||
\(713\) | − | 9.99157i | − | 0.374187i | ||||||
\(714\) | 9.97680 | − | 21.3104i | 0.373372 | − | 0.797521i | ||||
\(715\) | −34.4310 | − | 34.4310i | −1.28764 | − | 1.28764i | ||||
\(716\) | −7.21440 | − | 12.1292i | −0.269615 | − | 0.453290i | ||||
\(717\) | −9.70271 | + | 24.6154i | −0.362354 | + | 0.919278i | ||||
\(718\) | −3.86856 | + | 30.9353i | −0.144374 | + | 1.15450i | ||||
\(719\) | −3.17981 | + | 5.50759i | −0.118587 | + | 0.205399i | −0.919208 | − | 0.393773i | \(-0.871170\pi\) |
0.800621 | + | 0.599171i | \(0.204503\pi\) | |||||||
\(720\) | 12.2626 | − | 24.5541i | 0.457002 | − | 0.915078i | ||||
\(721\) | −44.8686 | + | 2.78645i | −1.67099 | + | 0.103773i | ||||
\(722\) | 11.6356 | − | 15.3695i | 0.433034 | − | 0.571992i | ||||
\(723\) | 11.8644 | − | 1.77039i | 0.441241 | − | 0.0658414i | ||||
\(724\) | −0.458562 | − | 35.3143i | −0.0170423 | − | 1.31244i | ||||
\(725\) | 0.286520 | + | 0.0767727i | 0.0106411 | + | 0.00285127i | ||||
\(726\) | −29.9537 | − | 16.3592i | −1.11169 | − | 0.607145i | ||||
\(727\) | 21.2218 | 0.787072 | 0.393536 | − | 0.919309i | \(-0.371252\pi\) | ||||
0.393536 | + | 0.919309i | \(0.371252\pi\) | |||||||
\(728\) | −26.8098 | − | 17.2979i | −0.993638 | − | 0.641103i | ||||
\(729\) | −17.0203 | + | 20.9597i | −0.630380 | + | 0.776287i | ||||
\(730\) | 24.4884 | + | 9.95765i | 0.906355 | + | 0.368549i | ||||
\(731\) | 6.64188 | − | 24.7878i | 0.245659 | − | 0.916811i | ||||
\(732\) | 0.168548 | − | 0.137616i | 0.00622970 | − | 0.00508642i | ||||
\(733\) | −19.0142 | + | 5.09484i | −0.702306 | + | 0.188182i | −0.592263 | − | 0.805745i | \(-0.701765\pi\) |
−0.110043 | + | 0.993927i | \(0.535099\pi\) | |||||||
\(734\) | 5.96676 | − | 7.88145i | 0.220237 | − | 0.290910i | ||||
\(735\) | −13.6153 | + | 24.1577i | −0.502209 | + | 0.891069i | ||||
\(736\) | −27.0095 | − | 2.66739i | −0.995582 | − | 0.0983215i | ||||
\(737\) | −47.3594 | − | 27.3430i | −1.74451 | − | 1.00719i | ||||
\(738\) | −2.46448 | + | 6.71488i | −0.0907189 | + | 0.247178i | ||||
\(739\) | 11.8225 | + | 3.16782i | 0.434896 | + | 0.116530i | 0.469624 | − | 0.882867i | \(-0.344390\pi\) |
−0.0347273 | + | 0.999397i | \(0.511056\pi\) | |||||||
\(740\) | 8.57042 | − | 33.7312i | 0.315055 | − | 1.23998i | ||||
\(741\) | −10.6490 | − | 13.3939i | −0.391201 | − | 0.492037i | ||||
\(742\) | −25.5771 | − | 28.9854i | −0.938965 | − | 1.06409i | ||||
\(743\) | −42.2533 | −1.55012 | −0.775061 | − | 0.631886i | \(-0.782281\pi\) | ||||
−0.775061 | + | 0.631886i | \(0.782281\pi\) | |||||||
\(744\) | 2.27712 | − | 9.94476i | 0.0834834 | − | 0.364593i | ||||
\(745\) | −3.26495 | − | 5.65506i | −0.119618 | − | 0.207185i | ||||
\(746\) | −19.5615 | + | 15.2129i | −0.716198 | + | 0.556983i | ||||
\(747\) | 4.90383 | − | 0.169014i | 0.179422 | − | 0.00618389i | ||||
\(748\) | −31.6344 | − | 17.7205i | −1.15667 | − | 0.647926i | ||||
\(749\) | −14.6364 | + | 16.5747i | −0.534804 | + | 0.605628i | ||||
\(750\) | 18.4385 | − | 19.3346i | 0.673281 | − | 0.706001i | ||||
\(751\) | −12.7027 | + | 22.0017i | −0.463528 | + | 0.802854i | −0.999134 | − | 0.0416144i | \(-0.986750\pi\) |
0.535606 | + | 0.844468i | \(0.320083\pi\) | |||||||
\(752\) | 30.2766 | + | 16.4471i | 1.10408 | + | 0.599766i | ||||
\(753\) | −19.0396 | − | 43.8153i | −0.693841 | − | 1.59672i | ||||
\(754\) | 3.00815 | + | 7.13102i | 0.109550 | + | 0.259696i | ||||
\(755\) | −5.08200 | + | 5.08200i | −0.184953 | + | 0.184953i | ||||
\(756\) | −7.00436 | − | 26.5883i | −0.254746 | − | 0.967008i | ||||
\(757\) | 7.23494 | + | 7.23494i | 0.262958 | + | 0.262958i | 0.826255 | − | 0.563296i | \(-0.190467\pi\) |
−0.563296 | + | 0.826255i | \(0.690467\pi\) | |||||||
\(758\) | 19.5343 | + | 7.94319i | 0.709518 | + | 0.288510i | ||||
\(759\) | −38.0576 | + | 16.5376i | −1.38140 | + | 0.600278i | ||||
\(760\) | 2.24558 | + | 14.8204i | 0.0814559 | + | 0.537591i | ||||
\(761\) | 1.58942 | + | 0.917653i | 0.0576165 | + | 0.0332649i | 0.528532 | − | 0.848914i | \(-0.322743\pi\) |
−0.470915 | + | 0.882179i | \(0.656076\pi\) | |||||||
\(762\) | 3.24198 | − | 0.0769084i | 0.117444 | − | 0.00278610i | ||||
\(763\) | 16.5345 | + | 49.2632i | 0.598591 | + | 1.78345i | ||||
\(764\) | 40.1294 | − | 11.3131i | 1.45183 | − | 0.409293i | ||||
\(765\) | −0.858117 | − | 24.8978i | −0.0310253 | − | 0.900180i | ||||
\(766\) | 1.02517 | − | 8.19787i | 0.0370409 | − | 0.296201i | ||||
\(767\) | 43.1888 | − | 24.9351i | 1.55946 | − | 0.900353i | ||||
\(768\) | −26.2750 | − | 8.81047i | −0.948117 | − | 0.317920i | ||||
\(769\) | − | 46.5271i | − | 1.67781i | −0.544278 | − | 0.838905i | \(-0.683196\pi\) | ||
0.544278 | − | 0.838905i | \(-0.316804\pi\) | |||||||
\(770\) | 35.6028 | + | 23.6315i | 1.28304 | + | 0.851621i | ||||
\(771\) | 36.9189 | − | 29.3529i | 1.32960 | − | 1.05712i | ||||
\(772\) | 19.0979 | + | 4.85239i | 0.687348 | + | 0.174641i | ||||
\(773\) | 11.6273 | − | 43.3937i | 0.418206 | − | 1.56076i | −0.360121 | − | 0.932905i | \(-0.617265\pi\) |
0.778327 | − | 0.627859i | \(-0.216069\pi\) | |||||||
\(774\) | −12.5998 | − | 27.2113i | −0.452892 | − | 0.978088i | ||||
\(775\) | −0.240626 | + | 0.416777i | −0.00864355 | + | 0.0149711i | ||||
\(776\) | 21.0781 | + | 8.25365i | 0.756659 | + | 0.296289i | ||||
\(777\) | −15.8508 | − | 31.0544i | −0.568643 | − | 1.11407i | ||||
\(778\) | 8.07883 | − | 1.11700i | 0.289640 | − | 0.0400465i | ||||
\(779\) | −1.01108 | − | 3.77340i | −0.0362257 | − | 0.135196i | ||||
\(780\) | −33.6092 | − | 3.39557i | −1.20340 | − | 0.121581i | ||||
\(781\) | 32.1485 | + | 8.61417i | 1.15036 | + | 0.308239i | ||||
\(782\) | −22.6987 | + | 9.57522i | −0.811703 | + | 0.342409i | ||||
\(783\) | −2.23067 | + | 6.28560i | −0.0797177 | + | 0.224629i | ||||
\(784\) | 26.0687 | + | 10.2187i | 0.931025 | + | 0.364955i | ||||
\(785\) | − | 16.8763i | − | 0.602340i | ||||||
\(786\) | 3.71163 | + | 12.6445i | 0.132389 | + | 0.451013i | ||||
\(787\) | −1.17172 | + | 4.37292i | −0.0417673 | + | 0.155878i | −0.983660 | − | 0.180036i | \(-0.942378\pi\) |
0.941893 | + | 0.335914i | \(0.109045\pi\) | |||||||
\(788\) | 0.566057 | + | 43.5925i | 0.0201649 | + | 1.55292i | ||||
\(789\) | −2.94470 | − | 19.7342i | −0.104834 | − | 0.702554i | ||||
\(790\) | −1.62217 | − | 11.7325i | −0.0577143 | − | 0.417424i | ||||
\(791\) | −4.96661 | + | 3.29402i | −0.176592 | + | 0.117122i | ||||
\(792\) | −41.6483 | + | 7.78665i | −1.47991 | + | 0.276687i | ||||
\(793\) | −0.231932 | − | 0.133906i | −0.00823614 | − | 0.00475514i | ||||
\(794\) | −18.6433 | + | 14.4988i | −0.661627 | + | 0.514543i | ||||
\(795\) | −38.0765 | − | 15.0087i | −1.35043 | − | 0.532305i | ||||
\(796\) | −6.42020 | − | 1.63124i | −0.227558 | − | 0.0578179i | ||||
\(797\) | −14.2113 | + | 14.2113i | −0.503389 | + | 0.503389i | −0.912489 | − | 0.409101i | \(-0.865842\pi\) |
0.409101 | + | 0.912489i | \(0.365842\pi\) | |||||||
\(798\) | 11.4886 | + | 9.67001i | 0.406693 | + | 0.342315i | ||||
\(799\) | 31.2752 | 1.10644 | ||||||||
\(800\) | 1.06240 | + | 0.761731i | 0.0375616 | + | 0.0269313i | ||||
\(801\) | −5.10907 | − | 16.7382i | −0.180520 | − | 0.591416i | ||||
\(802\) | −21.2469 | − | 2.65700i | −0.750254 | − | 0.0938218i | ||||
\(803\) | −10.5624 | − | 39.4195i | −0.372740 | − | 1.39108i | ||||
\(804\) | −37.4468 | + | 6.08580i | −1.32065 | + | 0.214630i | ||||
\(805\) | 27.5242 | − | 9.23812i | 0.970099 | − | 0.325601i | ||||
\(806\) | −12.4384 | + | 1.71977i | −0.438124 | + | 0.0605764i | ||||
\(807\) | 5.50329 | + | 4.07416i | 0.193725 | + | 0.143417i | ||||
\(808\) | 10.1028 | + | 7.44406i | 0.355414 | + | 0.261881i | ||||
\(809\) | −22.4312 | − | 38.8521i | −0.788641 | − | 1.36597i | −0.926800 | − | 0.375556i | \(-0.877452\pi\) |
0.138159 | − | 0.990410i | \(-0.455881\pi\) | |||||||
\(810\) | −19.4108 | − | 21.6946i | −0.682026 | − | 0.762272i | ||||
\(811\) | 10.9053 | − | 10.9053i | 0.382936 | − | 0.382936i | −0.489223 | − | 0.872159i | \(-0.662719\pi\) |
0.872159 | + | 0.489223i | \(0.162719\pi\) | |||||||
\(812\) | −3.82727 | − | 5.61108i | −0.134311 | − | 0.196910i | ||||
\(813\) | 19.9280 | + | 25.0646i | 0.698904 | + | 0.879053i | ||||
\(814\) | −49.5032 | + | 20.8824i | −1.73508 | + | 0.731929i | ||||
\(815\) | 23.5275 | + | 40.7509i | 0.824134 | + | 1.42744i | ||||
\(816\) | −24.7746 | + | 4.35723i | −0.867284 | + | 0.152534i | ||||
\(817\) | 14.1831 | + | 8.18862i | 0.496204 | + | 0.286484i | ||||
\(818\) | 9.27391 | + | 7.02094i | 0.324255 | + | 0.245481i | ||||
\(819\) | −27.5412 | + | 19.6650i | −0.962369 | + | 0.687151i | ||||
\(820\) | −6.72832 | − | 3.76897i | −0.234963 | − | 0.131618i | ||||
\(821\) | 7.53834 | + | 28.1335i | 0.263090 | + | 0.981865i | 0.963409 | + | 0.268035i | \(0.0863743\pi\) |
−0.700319 | + | 0.713830i | \(0.746959\pi\) | |||||||
\(822\) | −20.6601 | − | 33.9012i | −0.720603 | − | 1.18244i | ||||
\(823\) | 35.1756 | − | 20.3086i | 1.22614 | − | 0.707914i | 0.259922 | − | 0.965630i | \(-0.416303\pi\) |
0.966221 | + | 0.257716i | \(0.0829698\pi\) | |||||||
\(824\) | 29.9934 | + | 37.5507i | 1.04487 | + | 1.30814i | ||||
\(825\) | 1.98576 | + | 0.226706i | 0.0691354 | + | 0.00789290i | ||||
\(826\) | −32.8157 | + | 28.9571i | −1.14181 | + | 1.00754i | ||||
\(827\) | −19.0205 | + | 19.0205i | −0.661409 | + | 0.661409i | −0.955712 | − | 0.294303i | \(-0.904912\pi\) |
0.294303 | + | 0.955712i | \(0.404912\pi\) | |||||||
\(828\) | −13.1952 | + | 25.5849i | −0.458567 | + | 0.889138i | ||||
\(829\) | 11.0340 | − | 41.1794i | 0.383227 | − | 1.43022i | −0.457717 | − | 0.889098i | \(-0.651333\pi\) |
0.840943 | − | 0.541123i | \(-0.182001\pi\) | |||||||
\(830\) | −0.656461 | + | 5.24945i | −0.0227861 | + | 0.182211i | ||||
\(831\) | −6.90355 | + | 9.32518i | −0.239482 | + | 0.323487i | ||||
\(832\) | 1.32832 | + | 34.0829i | 0.0460511 | + | 1.18161i | ||||
\(833\) | 25.2202 | − | 3.14461i | 0.873828 | − | 0.108954i | ||||
\(834\) | 35.2310 | − | 36.9432i | 1.21995 | − | 1.27924i | ||||
\(835\) | −4.25469 | − | 15.8787i | −0.147240 | − | 0.549506i | ||||
\(836\) | 16.1488 | − | 16.5737i | 0.558518 | − | 0.573213i | ||||
\(837\) | −8.91368 | − | 6.13516i | −0.308102 | − | 0.212062i | ||||
\(838\) | −12.8392 | + | 31.5749i | −0.443523 | + | 1.09074i | ||||
\(839\) | − | 4.67390i | − | 0.161361i | −0.996740 | − | 0.0806804i | \(-0.974291\pi\) | ||
0.996740 | − | 0.0806804i | \(-0.0257093\pi\) | |||||||
\(840\) | 29.5006 | − | 2.92196i | 1.01787 | − | 0.100817i | ||||
\(841\) | − | 27.3524i | − | 0.943187i | ||||||
\(842\) | 22.7796 | + | 9.26282i | 0.785037 | + | 0.319218i | ||||
\(843\) | −38.6905 | − | 15.2508i | −1.33257 | − | 0.525264i | ||||
\(844\) | −0.617395 | − | 47.5462i | −0.0212516 | − | 1.63661i | ||||
\(845\) | 3.06535 | + | 11.4400i | 0.105451 | + | 0.393549i | ||||
\(846\) | 28.0586 | − | 23.4157i | 0.964675 | − | 0.805048i | ||||
\(847\) | −2.28498 | − | 36.7936i | −0.0785128 | − | 1.26424i | ||||
\(848\) | −9.65579 | + | 40.1819i | −0.331581 | + | 1.37985i | ||||
\(849\) | 5.22442 | + | 3.86771i | 0.179302 | + | 0.132739i | ||||
\(850\) | 1.17743 | + | 0.147241i | 0.0403854 | + | 0.00505032i | ||||
\(851\) | −9.44788 | + | 35.2600i | −0.323869 | + | 1.20870i | ||||
\(852\) | 21.0554 | − | 9.47633i | 0.721346 | − | 0.324654i | ||||
\(853\) | −33.4383 | + | 33.4383i | −1.14490 | + | 1.14490i | −0.157364 | + | 0.987541i | \(0.550300\pi\) |
−0.987541 | + | 0.157364i | \(0.949700\pi\) | |||||||
\(854\) | 0.222784 | + | 0.0748642i | 0.00762352 | + | 0.00256180i | ||||
\(855\) | 15.4897 | + | 3.58349i | 0.529736 | + | 0.122553i | ||||
\(856\) | 23.4923 | + | 2.62847i | 0.802951 | + | 0.0898393i | ||||
\(857\) | −10.9099 | + | 6.29884i | −0.372675 | + | 0.215164i | −0.674627 | − | 0.738159i | \(-0.735695\pi\) |
0.301951 | + | 0.953323i | \(0.402362\pi\) | |||||||
\(858\) | 27.1381 | + | 44.5310i | 0.926479 | + | 1.52026i | ||||
\(859\) | 2.64315 | + | 9.86437i | 0.0901831 | + | 0.336568i | 0.996245 | − | 0.0865769i | \(-0.0275928\pi\) |
−0.906062 | + | 0.423145i | \(0.860926\pi\) | |||||||
\(860\) | 31.1181 | − | 8.77268i | 1.06112 | − | 0.299146i | ||||
\(861\) | −7.55599 | + | 1.61168i | −0.257507 | + | 0.0549258i | ||||
\(862\) | 3.55727 | − | 4.69878i | 0.121161 | − | 0.160041i | ||||
\(863\) | −22.2466 | − | 12.8441i | −0.757282 | − | 0.437217i | 0.0710368 | − | 0.997474i | \(-0.477369\pi\) |
−0.828319 | + | 0.560257i | \(0.810703\pi\) | |||||||
\(864\) | −18.9643 | + | 22.4578i | −0.645180 | + | 0.764030i | ||||
\(865\) | 18.7859 | + | 32.5382i | 0.638741 | + | 1.10633i | ||||
\(866\) | 4.15545 | + | 9.85077i | 0.141208 | + | 0.334743i | ||||
\(867\) | 5.17548 | − | 4.11484i | 0.175769 | − | 0.139747i | ||||
\(868\) | 10.4004 | − | 3.64169i | 0.353013 | − | 0.123607i | ||||
\(869\) | −12.9291 | + | 12.9291i | −0.438590 | + | 0.438590i | ||||
\(870\) | −6.31119 | − | 3.44684i | −0.213969 | − | 0.116859i | ||||
\(871\) | 23.3470 | + | 40.4382i | 0.791083 | + | 1.37020i | ||||
\(872\) | 32.9531 | − | 44.7225i | 1.11593 | − | 1.51449i | ||||
\(873\) | 16.3825 | − | 17.5520i | 0.554462 | − | 0.594046i | ||||
\(874\) | −2.15330 | − | 15.5739i | −0.0728364 | − | 0.526796i | ||||
\(875\) | 28.2839 | + | 5.72685i | 0.956170 | + | 0.193603i | ||||
\(876\) | −22.9716 | − | 16.5488i | −0.776137 | − | 0.559131i | ||||
\(877\) | −4.12887 | − | 15.4091i | −0.139422 | − | 0.520330i | −0.999940 | − | 0.0109106i | \(-0.996527\pi\) |
0.860519 | − | 0.509419i | \(-0.170140\pi\) | |||||||
\(878\) | 5.91183 | − | 47.2745i | 0.199514 | − | 1.59544i | ||||
\(879\) | 4.51580 | + | 10.3921i | 0.152314 | + | 0.350516i | ||||
\(880\) | −1.18618 | − | 45.6669i | −0.0399863 | − | 1.53943i | ||||
\(881\) | −34.3034 | −1.15571 | −0.577856 | − | 0.816139i | \(-0.696111\pi\) | ||||
−0.577856 | + | 0.816139i | \(0.696111\pi\) | |||||||
\(882\) | 20.2720 | − | 21.7036i | 0.682595 | − | 0.730797i | ||||
\(883\) | −13.0811 | + | 13.0811i | −0.440216 | + | 0.440216i | −0.892084 | − | 0.451869i | \(-0.850757\pi\) |
0.451869 | + | 0.892084i | \(0.350757\pi\) | |||||||
\(884\) | 15.8271 | + | 26.6093i | 0.532321 | + | 0.894967i | ||||
\(885\) | −16.9921 | + | 43.1082i | −0.571183 | + | 1.44907i | ||||
\(886\) | 6.07586 | + | 7.81266i | 0.204122 | + | 0.262471i | ||||
\(887\) | 46.6751 | + | 26.9479i | 1.56720 | + | 0.904821i | 0.996494 | + | 0.0836639i | \(0.0266622\pi\) |
0.570702 | + | 0.821157i | \(0.306671\pi\) | |||||||
\(888\) | −17.4395 | + | 32.9416i | −0.585232 | + | 1.10545i | ||||
\(889\) | 1.93602 | + | 2.91906i | 0.0649319 | + | 0.0979021i | ||||
\(890\) | 18.6909 | − | 2.58426i | 0.626521 | − | 0.0866247i | ||||
\(891\) | −8.61507 | + | 44.1066i | −0.288616 | + | 1.47763i | ||||
\(892\) | 5.61152 | + | 5.46766i | 0.187888 | + | 0.183071i | ||||
\(893\) | −5.16585 | + | 19.2792i | −0.172869 | + | 0.645154i | ||||
\(894\) | 1.96971 | + | 6.71024i | 0.0658769 | + | 0.224424i | ||||
\(895\) | − | 16.1389i | − | 0.539463i | ||||||
\(896\) | −7.06776 | − | 29.0869i | −0.236117 | − | 0.971725i | ||||
\(897\) | 35.2025 | + | 4.01893i | 1.17538 | + | 0.134188i | ||||
\(898\) | 0.902855 | + | 2.14028i | 0.0301287 | + | 0.0714220i | ||||
\(899\) | −2.58198 | − | 0.691839i | −0.0861137 | − | 0.0230741i | ||||
\(900\) | 1.16657 | − | 0.749440i | 0.0388857 | − | 0.0249813i | ||||
\(901\) | 9.70863 | + | 36.2331i | 0.323441 | + | 1.20710i | ||||
\(902\) | 1.63058 | + | 11.7933i | 0.0542925 | + | 0.392676i | ||||
\(903\) | 17.6213 | − | 27.1766i | 0.586400 | − | 0.904380i | ||||
\(904\) | 5.93256 | + | 2.32304i | 0.197314 | + | 0.0772632i | ||||
\(905\) | 20.1940 | − | 34.9771i | 0.671272 | − | 1.16268i | ||||
\(906\) | 6.57277 | − | 4.00557i | 0.218366 | − | 0.133076i | ||||
\(907\) | −3.46563 | + | 12.9339i | −0.115074 | + | 0.429463i | −0.999292 | − | 0.0376109i | \(-0.988025\pi\) |
0.884218 | + | 0.467074i | \(0.154692\pi\) | |||||||
\(908\) | −31.3742 | + | 18.6612i | −1.04119 | + | 0.619294i | ||||
\(909\) | 11.2910 | − | 7.04826i | 0.374499 | − | 0.233776i | ||||
\(910\) | −16.2380 | − | 32.6745i | −0.538284 | − | 1.08315i | ||||
\(911\) | 28.6659i | 0.949744i | 0.880055 | + | 0.474872i | \(0.157506\pi\) | ||||
−0.880055 | + | 0.474872i | \(0.842494\pi\) | |||||||
\(912\) | 1.40616 | − | 15.9917i | 0.0465625 | − | 0.529538i | ||||
\(913\) | 7.07284 | − | 4.08351i | 0.234077 | − | 0.135144i | ||||
\(914\) | −16.4966 | − | 2.06295i | −0.545659 | − | 0.0682364i | ||||
\(915\) | 0.246109 | − | 0.0367241i | 0.00813612 | − | 0.00121406i | ||||
\(916\) | 10.8562 | + | 6.08129i | 0.358700 | + | 0.200932i | ||||
\(917\) | −9.42163 | + | 10.6693i | −0.311129 | + | 0.352332i | ||||
\(918\) | −5.39550 | + | 26.1295i | −0.178078 | + | 0.862401i | ||||
\(919\) | −45.4826 | − | 26.2594i | −1.50033 | − | 0.866218i | −1.00000 | 0.000384849i | \(-0.999877\pi\) | |
−0.500333 | − | 0.865833i | \(-0.666789\pi\) | |||||||
\(920\) | −24.9872 | − | 18.4114i | −0.823803 | − | 0.607006i | ||||
\(921\) | 7.09114 | + | 16.3186i | 0.233661 | + | 0.537717i | ||||
\(922\) | −6.64634 | + | 16.3450i | −0.218886 | + | 0.538295i | ||||
\(923\) | −20.0950 | − | 20.0950i | −0.661434 | − | 0.661434i | ||||
\(924\) | −31.0854 | − | 33.5873i | −1.02264 | − | 1.10494i | ||||
\(925\) | 1.24326 | − | 1.24326i | 0.0408782 | − | 0.0408782i | ||||
\(926\) | 1.70071 | − | 0.717429i | 0.0558889 | − | 0.0235762i | ||||
\(927\) | 48.7536 | − | 14.8812i | 1.60128 | − | 0.488764i | ||||
\(928\) | −2.55949 | + | 6.79497i | −0.0840194 | + | 0.223056i | ||||
\(929\) | 4.89452 | − | 8.47756i | 0.160584 | − | 0.278140i | −0.774494 | − | 0.632581i | \(-0.781996\pi\) |
0.935078 | + | 0.354441i | \(0.115329\pi\) | |||||||
\(930\) | 8.05180 | − | 8.44311i | 0.264029 | − | 0.276860i | ||||
\(931\) | −2.22727 | + | 16.0661i | −0.0729958 | + | 0.526546i | ||||
\(932\) | 6.23006 | + | 22.0991i | 0.204072 | + | 0.723879i | ||||
\(933\) | 4.43241 | − | 0.661399i | 0.145111 | − | 0.0216532i | ||||
\(934\) | 3.24337 | + | 4.17050i | 0.106126 | + | 0.136463i | ||||
\(935\) | −20.7328 | − | 35.9103i | −0.678035 | − | 1.17439i | ||||
\(936\) | 34.1217 | + | 12.0229i | 1.11530 | + | 0.392981i | ||||
\(937\) | −2.95221 | −0.0964444 | −0.0482222 | − | 0.998837i | \(-0.515356\pi\) | ||||
−0.0482222 | + | 0.998837i | \(0.515356\pi\) | |||||||
\(938\) | −27.1129 | − | 30.7258i | −0.885266 | − | 1.00323i | ||||
\(939\) | 31.0036 | − | 24.6499i | 1.01176 | − | 0.804418i | ||||
\(940\) | 20.1427 | + | 33.8650i | 0.656983 | + | 1.10455i | ||||
\(941\) | −44.6650 | − | 11.9679i | −1.45604 | − | 0.390144i | −0.557917 | − | 0.829897i | \(-0.688399\pi\) |
−0.898119 | + | 0.439753i | \(0.855066\pi\) | |||||||
\(942\) | −4.26256 | + | 17.5642i | −0.138882 | + | 0.572274i | ||||
\(943\) | 7.00522 | + | 4.04447i | 0.228121 | + | 0.131706i | ||||
\(944\) | 45.4918 | + | 10.9318i | 1.48063 | + | 0.355799i | ||||
\(945\) | 8.65923 | − | 30.2274i | 0.281685 | − | 0.983297i | ||||
\(946\) | −39.7939 | − | 30.1265i | −1.29381 | − | 0.979496i | ||||
\(947\) | −28.7746 | + | 7.71013i | −0.935049 | + | 0.250546i | −0.694006 | − | 0.719969i | \(-0.744156\pi\) |
−0.241043 | + | 0.970515i | \(0.577489\pi\) | |||||||
\(948\) | −1.27506 | + | 12.6205i | −0.0414121 | + | 0.409896i | ||||
\(949\) | −9.01880 | + | 33.6586i | −0.292763 | + | 1.09261i | ||||
\(950\) | −0.285245 | + | 0.701490i | −0.00925458 | + | 0.0227594i | ||||
\(951\) | 21.9994 | + | 2.51158i | 0.713380 | + | 0.0814436i | ||||
\(952\) | −18.2402 | − | 20.1376i | −0.591167 | − | 0.652663i | ||||
\(953\) | 10.7519 | 0.348289 | 0.174145 | − | 0.984720i | \(-0.444284\pi\) | ||||
0.174145 | + | 0.984720i | \(0.444284\pi\) | |||||||
\(954\) | 35.8378 | + | 25.2378i | 1.16029 | + | 0.817104i | ||||
\(955\) | 46.0552 | + | 12.3405i | 1.49031 | + | 0.399328i | ||||
\(956\) | 21.8821 | + | 21.3211i | 0.707716 | + | 0.689572i | ||||
\(957\) | 1.63839 | + | 10.9798i | 0.0529615 | + | 0.354925i | ||||
\(958\) | 0.379999 | + | 0.287684i | 0.0122772 | + | 0.00929464i | ||||
\(959\) | 19.0977 | − | 38.3940i | 0.616696 | − | 1.23981i | ||||
\(960\) | −20.6741 | − | 24.0198i | −0.667253 | − | 0.775237i | ||||
\(961\) | −13.3316 | + | 23.0910i | −0.430051 | + | 0.744871i | ||||
\(962\) | 45.5210 | + | 5.69255i | 1.46766 | + | 0.183535i | ||||
\(963\) | 11.7810 | − | 22.1326i | 0.379639 | − | 0.713215i | ||||
\(964\) | 3.41101 | − | 13.4249i | 0.109861 | − | 0.432388i | ||||
\(965\) | 15.9339 | + | 15.9339i | 0.512929 | + | 0.512929i | ||||
\(966\) | −30.9795 | + | 2.66275i | −0.996750 | + | 0.0856726i | ||||
\(967\) | 10.0776i | 0.324075i | 0.986785 | + | 0.162037i | \(0.0518065\pi\) | ||||
−0.986785 | + | 0.162037i | \(0.948193\pi\) | |||||||
\(968\) | −30.7927 | + | 24.5955i | −0.989715 | + | 0.790530i | ||||
\(969\) | −5.80738 | − | 13.3644i | −0.186560 | − | 0.429325i | ||||
\(970\) | 15.8917 | + | 20.4344i | 0.510253 | + | 0.656110i | ||||
\(971\) | 11.9144 | − | 3.19245i | 0.382351 | − | 0.102451i | −0.0625235 | − | 0.998043i | \(-0.519915\pi\) |
0.444875 | + | 0.895593i | \(0.353248\pi\) | |||||||
\(972\) | 14.7225 | + | 27.4818i | 0.472225 | + | 0.881478i | ||||
\(973\) | 54.0428 | + | 10.9424i | 1.73253 | + | 0.350798i | ||||
\(974\) | 29.1431 | − | 38.4949i | 0.933805 | − | 1.23346i | ||||
\(975\) | −1.37161 | − | 1.01542i | −0.0439267 | − | 0.0325195i | ||||
\(976\) | −0.0713091 | − | 0.240922i | −0.00228255 | − | 0.00771173i | ||||
\(977\) | 34.3236 | − | 19.8168i | 1.09811 | − | 0.633994i | 0.162386 | − | 0.986727i | \(-0.448081\pi\) |
0.935724 | + | 0.352733i | \(0.114748\pi\) | |||||||
\(978\) | −14.1939 | − | 48.3546i | −0.453871 | − | 1.54621i | ||||
\(979\) | −20.5972 | − | 20.5972i | −0.658289 | − | 0.658289i | ||||
\(980\) | 19.6480 | + | 25.2834i | 0.627634 | + | 0.807648i | ||||
\(981\) | −31.2010 | − | 49.9825i | −0.996170 | − | 1.59582i | ||||
\(982\) | 4.22060 | − | 10.3795i | 0.134685 | − | 0.331224i | ||||
\(983\) | −4.03385 | + | 2.32894i | −0.128660 | + | 0.0742818i | −0.562949 | − | 0.826492i | \(-0.690333\pi\) |
0.434289 | + | 0.900774i | \(0.357000\pi\) | |||||||
\(984\) | 6.05065 | + | 5.62204i | 0.192888 | + | 0.179224i | ||||
\(985\) | −24.9279 | + | 43.1763i | −0.794268 | + | 1.37571i | ||||
\(986\) | 0.902678 | + | 6.52870i | 0.0287471 | + | 0.207916i | ||||
\(987\) | 37.5504 | + | 12.1714i | 1.19524 | + | 0.387421i | ||||
\(988\) | −19.0172 | + | 5.36124i | −0.605018 | + | 0.170564i | ||||
\(989\) | −32.7557 | + | 8.77685i | −1.04157 | + | 0.279088i | ||||
\(990\) | −45.4865 | − | 16.6944i | −1.44566 | − | 0.530583i | ||||
\(991\) | 4.92238 | + | 8.52581i | 0.156365 | + | 0.270831i | 0.933555 | − | 0.358434i | \(-0.116689\pi\) |
−0.777190 | + | 0.629265i | \(0.783356\pi\) | |||||||
\(992\) | −9.57385 | − | 6.86435i | −0.303970 | − | 0.217943i | ||||
\(993\) | 38.7436 | + | 4.42320i | 1.22949 | + | 0.140366i | ||||
\(994\) | 20.7789 | + | 13.7921i | 0.659067 | + | 0.437458i | ||||
\(995\) | −5.35654 | − | 5.35654i | −0.169814 | − | 0.169814i | ||||
\(996\) | 2.00911 | − | 5.29764i | 0.0636611 | − | 0.167862i | ||||
\(997\) | 2.41857 | + | 0.648053i | 0.0765968 | + | 0.0205241i | 0.296914 | − | 0.954904i | \(-0.404043\pi\) |
−0.220317 | + | 0.975428i | \(0.570709\pi\) | |||||||
\(998\) | 5.31594 | + | 6.83552i | 0.168273 | + | 0.216374i | ||||
\(999\) | 25.6548 | + | 30.0795i | 0.811683 | + | 0.951672i |
(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 | 336.2.bo.a.5.7 | ✓ | 240 | |
3.2 | odd | 2 | inner | 336.2.bo.a.5.54 | yes | 240 | |
7.3 | odd | 6 | inner | 336.2.bo.a.101.33 | yes | 240 | |
16.13 | even | 4 | inner | 336.2.bo.a.173.28 | yes | 240 | |
21.17 | even | 6 | inner | 336.2.bo.a.101.28 | yes | 240 | |
48.29 | odd | 4 | inner | 336.2.bo.a.173.33 | yes | 240 | |
112.45 | odd | 12 | inner | 336.2.bo.a.269.54 | yes | 240 | |
336.269 | even | 12 | inner | 336.2.bo.a.269.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bo.a.5.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
336.2.bo.a.5.54 | yes | 240 | 3.2 | odd | 2 | inner | |
336.2.bo.a.101.28 | yes | 240 | 21.17 | even | 6 | inner | |
336.2.bo.a.101.33 | yes | 240 | 7.3 | odd | 6 | inner | |
336.2.bo.a.173.28 | yes | 240 | 16.13 | even | 4 | inner | |
336.2.bo.a.173.33 | yes | 240 | 48.29 | odd | 4 | inner | |
336.2.bo.a.269.7 | yes | 240 | 336.269 | even | 12 | inner | |
336.2.bo.a.269.54 | yes | 240 | 112.45 | odd | 12 | inner |