Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 398.48 | ||
Character | \(\chi\) | \(=\) | 441.398 |
Dual form | 441.2.bh.a.41.48 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.17816 | − | 0.854863i | 1.54019 | − | 0.604480i | 0.564850 | − | 0.825193i | \(-0.308934\pi\) |
0.975339 | + | 0.220714i | \(0.0708387\pi\) | |||||||
\(3\) | 1.72389 | + | 0.167981i | 0.995286 | + | 0.0969840i | ||||
\(4\) | 2.54747 | − | 2.36371i | 1.27373 | − | 1.18185i | ||||
\(5\) | 0.217005 | + | 2.89572i | 0.0970474 | + | 1.29501i | 0.806913 | + | 0.590670i | \(0.201137\pi\) |
−0.709866 | + | 0.704337i | \(0.751244\pi\) | |||||||
\(6\) | 3.89849 | − | 1.10780i | 1.59155 | − | 0.452256i | ||||
\(7\) | −2.64474 | − | 0.0731616i | −0.999618 | − | 0.0276525i | ||||
\(8\) | 1.49765 | − | 3.10990i | 0.529498 | − | 1.09951i | ||||
\(9\) | 2.94356 | + | 0.579161i | 0.981188 | + | 0.193054i | ||||
\(10\) | 2.94812 | + | 6.12183i | 0.932277 | + | 1.93589i | ||||
\(11\) | −3.18378 | + | 1.24954i | −0.959946 | + | 0.376751i | −0.793005 | − | 0.609216i | \(-0.791484\pi\) |
−0.166942 | + | 0.985967i | \(0.553389\pi\) | |||||||
\(12\) | 4.78860 | − | 3.64683i | 1.38235 | − | 1.05275i | ||||
\(13\) | 0.797972 | − | 5.29420i | 0.221318 | − | 1.46835i | −0.551743 | − | 0.834014i | \(-0.686037\pi\) |
0.773061 | − | 0.634332i | \(-0.218725\pi\) | |||||||
\(14\) | −5.82320 | + | 2.10153i | −1.55632 | + | 0.561658i | ||||
\(15\) | −0.112336 | + | 5.02835i | −0.0290052 | + | 1.29831i | ||||
\(16\) | 0.0841755 | − | 1.12324i | 0.0210439 | − | 0.280811i | ||||
\(17\) | 0.598618 | − | 2.62272i | 0.145186 | − | 0.636103i | −0.848997 | − | 0.528398i | \(-0.822793\pi\) |
0.994183 | − | 0.107705i | \(-0.0343500\pi\) | |||||||
\(18\) | 6.90665 | − | 1.25484i | 1.62791 | − | 0.295769i | ||||
\(19\) | − | 3.20566i | − | 0.735430i | −0.929939 | − | 0.367715i | \(-0.880140\pi\) | ||
0.929939 | − | 0.367715i | \(-0.119860\pi\) | |||||||
\(20\) | 7.39745 | + | 6.86383i | 1.65412 | + | 1.53480i | ||||
\(21\) | −4.54694 | − | 0.570389i | −0.992223 | − | 0.124469i | ||||
\(22\) | −5.86658 | + | 5.44339i | −1.25076 | + | 1.16054i | ||||
\(23\) | −5.71785 | − | 6.16238i | −1.19225 | − | 1.28494i | −0.949106 | − | 0.314955i | \(-0.898010\pi\) |
−0.243148 | − | 0.969989i | \(-0.578180\pi\) | |||||||
\(24\) | 3.10418 | − | 5.10953i | 0.633637 | − | 1.04298i | ||||
\(25\) | −3.39398 | + | 0.511560i | −0.678795 | + | 0.102312i | ||||
\(26\) | −2.78771 | − | 12.2137i | −0.546714 | − | 2.39531i | ||||
\(27\) | 4.97708 | + | 1.49287i | 0.957840 | + | 0.287303i | ||||
\(28\) | −6.91032 | + | 6.06501i | −1.30593 | + | 1.14618i | ||||
\(29\) | −6.02182 | + | 6.48998i | −1.11822 | + | 1.20516i | −0.141665 | + | 0.989915i | \(0.545245\pi\) |
−0.976560 | + | 0.215245i | \(0.930945\pi\) | |||||||
\(30\) | 4.05387 | + | 11.0486i | 0.740131 | + | 2.01718i | ||||
\(31\) | 4.22906 | − | 2.44165i | 0.759561 | − | 0.438533i | −0.0695768 | − | 0.997577i | \(-0.522165\pi\) |
0.829138 | + | 0.559044i | \(0.188832\pi\) | |||||||
\(32\) | 1.25795 | + | 4.07819i | 0.222377 | + | 0.720928i | ||||
\(33\) | −5.69837 | + | 1.61925i | −0.991960 | + | 0.281876i | ||||
\(34\) | −0.938182 | − | 6.22443i | −0.160897 | − | 1.06748i | ||||
\(35\) | −0.362065 | − | 7.67431i | −0.0612001 | − | 1.29720i | ||||
\(36\) | 8.86761 | − | 5.48233i | 1.47793 | − | 0.913721i | ||||
\(37\) | −0.00925870 | + | 0.0405650i | −0.00152212 | + | 0.00666885i | −0.975683 | − | 0.219185i | \(-0.929660\pi\) |
0.974161 | + | 0.225854i | \(0.0725172\pi\) | |||||||
\(38\) | −2.74040 | − | 6.98244i | −0.444552 | − | 1.13270i | ||||
\(39\) | 2.26494 | − | 8.99255i | 0.362680 | − | 1.43996i | ||||
\(40\) | 9.33040 | + | 3.66191i | 1.47527 | + | 0.578999i | ||||
\(41\) | 0.704310 | + | 9.39837i | 0.109995 | + | 1.46778i | 0.730143 | + | 0.683294i | \(0.239453\pi\) |
−0.620149 | + | 0.784484i | \(0.712928\pi\) | |||||||
\(42\) | −10.3915 | + | 2.64462i | −1.60345 | + | 0.408073i | ||||
\(43\) | −0.383109 | + | 5.11223i | −0.0584235 | + | 0.779608i | 0.888649 | + | 0.458588i | \(0.151645\pi\) |
−0.947072 | + | 0.321020i | \(0.895974\pi\) | |||||||
\(44\) | −5.15703 | + | 10.7087i | −0.777452 | + | 1.61440i | ||||
\(45\) | −1.03832 | + | 8.64943i | −0.154784 | + | 1.28938i | ||||
\(46\) | −17.7224 | − | 8.53464i | −2.61302 | − | 1.25836i | ||||
\(47\) | −1.63657 | − | 4.16992i | −0.238719 | − | 0.608245i | 0.760433 | − | 0.649416i | \(-0.224987\pi\) |
−0.999152 | + | 0.0411706i | \(0.986891\pi\) | |||||||
\(48\) | 0.333793 | − | 1.92220i | 0.0481789 | − | 0.277446i | ||||
\(49\) | 6.98929 | + | 0.386987i | 0.998471 | + | 0.0552838i | ||||
\(50\) | −6.95530 | + | 4.01564i | −0.983628 | + | 0.567898i | ||||
\(51\) | 1.47252 | − | 4.42071i | 0.206194 | − | 0.619023i | ||||
\(52\) | −10.4811 | − | 15.3730i | −1.45347 | − | 2.13185i | ||||
\(53\) | 0.267296 | − | 0.0610085i | 0.0367159 | − | 0.00838017i | −0.204124 | − | 0.978945i | \(-0.565434\pi\) |
0.240839 | + | 0.970565i | \(0.422577\pi\) | |||||||
\(54\) | 12.1171 | − | 1.00302i | 1.64892 | − | 0.136493i | ||||
\(55\) | −4.30922 | − | 8.94820i | −0.581056 | − | 1.20657i | ||||
\(56\) | −4.18841 | + | 8.11529i | −0.559700 | + | 1.08445i | ||||
\(57\) | 0.538492 | − | 5.52620i | 0.0713250 | − | 0.731963i | ||||
\(58\) | −7.56843 | + | 19.2840i | −0.993783 | + | 2.53212i | ||||
\(59\) | 9.51729 | + | 6.48878i | 1.23905 | + | 0.844767i | 0.992245 | − | 0.124299i | \(-0.0396683\pi\) |
0.246801 | + | 0.969066i | \(0.420621\pi\) | |||||||
\(60\) | 11.5994 | + | 13.0751i | 1.49747 | + | 1.68799i | ||||
\(61\) | 0.682114 | − | 0.735144i | 0.0873358 | − | 0.0941256i | −0.687872 | − | 0.725832i | \(-0.741455\pi\) |
0.775207 | + | 0.631707i | \(0.217645\pi\) | |||||||
\(62\) | 7.12428 | − | 8.93356i | 0.904784 | − | 1.13456i | ||||
\(63\) | −7.74259 | − | 1.74709i | −0.975475 | − | 0.220112i | ||||
\(64\) | 7.63090 | + | 9.56885i | 0.953863 | + | 1.19611i | ||||
\(65\) | 15.5037 | + | 1.16184i | 1.92300 | + | 0.144109i | ||||
\(66\) | −11.0277 | + | 8.39831i | −1.35742 | + | 1.03376i | ||||
\(67\) | −2.84606 | − | 4.92952i | −0.347701 | − | 0.602236i | 0.638139 | − | 0.769921i | \(-0.279704\pi\) |
−0.985841 | + | 0.167684i | \(0.946371\pi\) | |||||||
\(68\) | −4.67437 | − | 8.09625i | −0.566851 | − | 0.981815i | ||||
\(69\) | −8.82176 | − | 11.5837i | −1.06201 | − | 1.39452i | ||||
\(70\) | −7.34912 | − | 16.4063i | −0.878388 | − | 1.96093i | ||||
\(71\) | 10.8006 | − | 2.46517i | 1.28179 | − | 0.292561i | 0.473215 | − | 0.880947i | \(-0.343094\pi\) |
0.808580 | + | 0.588386i | \(0.200236\pi\) | |||||||
\(72\) | 6.20955 | − | 8.28680i | 0.731802 | − | 0.976609i | ||||
\(73\) | −2.74928 | + | 2.19247i | −0.321778 | + | 0.256610i | −0.771035 | − | 0.636793i | \(-0.780260\pi\) |
0.449256 | + | 0.893403i | \(0.351689\pi\) | |||||||
\(74\) | 0.0145106 | + | 0.0962719i | 0.00168683 | + | 0.0111914i | ||||
\(75\) | −5.93676 | + | 0.311746i | −0.685518 | + | 0.0359973i | ||||
\(76\) | −7.57725 | − | 8.16633i | −0.869170 | − | 0.936742i | ||||
\(77\) | 8.51169 | − | 3.07178i | 0.969997 | − | 0.350062i | ||||
\(78\) | −2.75401 | − | 21.5234i | −0.311830 | − | 2.43704i | ||||
\(79\) | −4.95531 | + | 8.58285i | −0.557516 | + | 0.965646i | 0.440187 | + | 0.897906i | \(0.354912\pi\) |
−0.997703 | + | 0.0677396i | \(0.978421\pi\) | |||||||
\(80\) | 3.27087 | 0.365695 | ||||||||
\(81\) | 8.32914 | + | 3.40960i | 0.925461 | + | 0.378844i | ||||
\(82\) | 9.56842 | + | 19.8690i | 1.05665 | + | 2.19417i | ||||
\(83\) | 0.483462 | − | 0.0728702i | 0.0530669 | − | 0.00799855i | −0.122455 | − | 0.992474i | \(-0.539077\pi\) |
0.175522 | + | 0.984476i | \(0.443839\pi\) | |||||||
\(84\) | −12.9314 | + | 9.29458i | −1.41093 | + | 1.01412i | ||||
\(85\) | 7.72457 | + | 1.16429i | 0.837848 | + | 0.126285i | ||||
\(86\) | 3.53579 | + | 11.4627i | 0.381274 | + | 1.23606i | ||||
\(87\) | −11.4711 | + | 10.1764i | −1.22983 | + | 1.09103i | ||||
\(88\) | −0.882234 | + | 11.7726i | −0.0940465 | + | 1.25496i | ||||
\(89\) | 6.98508 | + | 8.75902i | 0.740417 | + | 0.928454i | 0.999298 | − | 0.0374552i | \(-0.0119251\pi\) |
−0.258881 | + | 0.965909i | \(0.583354\pi\) | |||||||
\(90\) | 5.13245 | + | 19.7274i | 0.541008 | + | 2.07945i | ||||
\(91\) | −2.49776 | + | 13.9434i | −0.261836 | + | 1.46166i | ||||
\(92\) | −29.1321 | − | 2.18315i | −3.03723 | − | 0.227609i | ||||
\(93\) | 7.70057 | − | 3.49872i | 0.798511 | − | 0.362800i | ||||
\(94\) | −7.12942 | − | 7.68369i | −0.735344 | − | 0.792512i | ||||
\(95\) | 9.28272 | − | 0.695644i | 0.952387 | − | 0.0713715i | ||||
\(96\) | 1.48351 | + | 7.24164i | 0.151410 | + | 0.739097i | ||||
\(97\) | −5.28392 | − | 3.05067i | −0.536501 | − | 0.309749i | 0.207159 | − | 0.978307i | \(-0.433578\pi\) |
−0.743660 | + | 0.668559i | \(0.766912\pi\) | |||||||
\(98\) | 15.5546 | − | 5.13197i | 1.57125 | − | 0.518408i | ||||
\(99\) | −10.0954 | + | 1.83419i | −1.01462 | + | 0.184343i | ||||
\(100\) | −7.43687 | + | 9.32555i | −0.743687 | + | 0.932555i | ||||
\(101\) | 5.64323 | − | 3.84749i | 0.561522 | − | 0.382840i | −0.249039 | − | 0.968494i | \(-0.580115\pi\) |
0.810561 | + | 0.585654i | \(0.199162\pi\) | |||||||
\(102\) | −0.571730 | − | 10.8878i | −0.0566097 | − | 1.07805i | ||||
\(103\) | −7.61308 | + | 0.570521i | −0.750139 | + | 0.0562151i | −0.444312 | − | 0.895872i | \(-0.646552\pi\) |
−0.305827 | + | 0.952087i | \(0.598933\pi\) | |||||||
\(104\) | −15.2693 | − | 10.4104i | −1.49728 | − | 1.02083i | ||||
\(105\) | 0.664983 | − | 13.2905i | 0.0648957 | − | 1.29702i | ||||
\(106\) | 0.530058 | − | 0.361388i | 0.0514838 | − | 0.0351011i | ||||
\(107\) | −10.5374 | + | 8.40326i | −1.01868 | + | 0.812374i | −0.982366 | − | 0.186966i | \(-0.940134\pi\) |
−0.0363182 | + | 0.999340i | \(0.511563\pi\) | |||||||
\(108\) | 16.2077 | − | 7.96131i | 1.55958 | − | 0.766078i | ||||
\(109\) | 3.87839 | − | 4.86335i | 0.371482 | − | 0.465824i | −0.560592 | − | 0.828092i | \(-0.689426\pi\) |
0.932074 | + | 0.362268i | \(0.117998\pi\) | |||||||
\(110\) | −17.0356 | − | 15.8068i | −1.62429 | − | 1.50712i | ||||
\(111\) | −0.0227751 | + | 0.0683742i | −0.00216172 | + | 0.00648979i | ||||
\(112\) | −0.304801 | + | 2.96453i | −0.0288010 | + | 0.280122i | ||||
\(113\) | −3.39430 | − | 1.33217i | −0.319309 | − | 0.125320i | 0.200273 | − | 0.979740i | \(-0.435817\pi\) |
−0.519582 | + | 0.854421i | \(0.673912\pi\) | |||||||
\(114\) | −3.55123 | − | 12.4973i | −0.332603 | − | 1.17048i | ||||
\(115\) | 16.6038 | − | 17.8946i | 1.54831 | − | 1.66868i | ||||
\(116\) | 30.7669i | 2.85663i | ||||||||
\(117\) | 5.41507 | − | 15.1217i | 0.500624 | − | 1.39800i | ||||
\(118\) | 26.2772 | + | 5.99759i | 2.41901 | + | 0.552123i | ||||
\(119\) | −1.77507 | + | 6.89261i | −0.162721 | + | 0.631845i | ||||
\(120\) | 15.4694 | + | 7.88005i | 1.41216 | + | 0.719347i | ||||
\(121\) | 0.511536 | − | 0.474636i | 0.0465032 | − | 0.0431487i | ||||
\(122\) | 0.857303 | − | 2.18437i | 0.0776166 | − | 0.197764i | ||||
\(123\) | −0.364599 | + | 16.3200i | −0.0328748 | + | 1.47153i | ||||
\(124\) | 5.00206 | − | 16.2163i | 0.449198 | − | 1.45626i | ||||
\(125\) | 1.01299 | + | 4.43818i | 0.0906042 | + | 0.396963i | ||||
\(126\) | −18.3581 | + | 2.81343i | −1.63547 | + | 0.250640i | ||||
\(127\) | 4.10799 | − | 17.9983i | 0.364525 | − | 1.59709i | −0.377034 | − | 0.926199i | \(-0.623056\pi\) |
0.741559 | − | 0.670888i | \(-0.234087\pi\) | |||||||
\(128\) | 17.4093 | + | 10.0513i | 1.53878 | + | 0.888416i | ||||
\(129\) | −1.51920 | + | 8.74855i | −0.133758 | + | 0.770267i | ||||
\(130\) | 34.7627 | − | 10.7229i | 3.04889 | − | 0.940458i | ||||
\(131\) | −10.5362 | − | 7.18349i | −0.920556 | − | 0.627625i | 0.00753729 | − | 0.999972i | \(-0.497601\pi\) |
−0.928094 | + | 0.372347i | \(0.878553\pi\) | |||||||
\(132\) | −10.6890 | + | 17.5943i | −0.930358 | + | 1.53139i | ||||
\(133\) | −0.234532 | + | 8.47815i | −0.0203365 | + | 0.735149i | ||||
\(134\) | −10.4132 | − | 8.30427i | −0.899565 | − | 0.717379i | ||||
\(135\) | −3.24290 | + | 14.7362i | −0.279104 | + | 1.26829i | ||||
\(136\) | −7.25986 | − | 5.78955i | −0.622528 | − | 0.496450i | ||||
\(137\) | 2.07126 | + | 0.155220i | 0.176960 | + | 0.0132613i | 0.162915 | − | 0.986640i | \(-0.447910\pi\) |
0.0140446 | + | 0.999901i | \(0.495529\pi\) | |||||||
\(138\) | −29.1177 | − | 17.6898i | −2.47866 | − | 1.50585i | ||||
\(139\) | −4.39484 | + | 0.329348i | −0.372766 | + | 0.0279349i | −0.259796 | − | 0.965664i | \(-0.583655\pi\) |
−0.112970 | + | 0.993598i | \(0.536036\pi\) | |||||||
\(140\) | −19.0622 | − | 18.6943i | −1.61105 | − | 1.57995i | ||||
\(141\) | −2.12080 | − | 7.46338i | −0.178603 | − | 0.628530i | ||||
\(142\) | 21.4180 | − | 14.6025i | 1.79736 | − | 1.22542i | ||||
\(143\) | 4.07475 | + | 17.8527i | 0.340748 | + | 1.49291i | ||||
\(144\) | 0.898316 | − | 3.25759i | 0.0748596 | − | 0.271466i | ||||
\(145\) | −20.1000 | − | 16.0292i | −1.66921 | − | 1.33115i | ||||
\(146\) | −4.11409 | + | 7.12581i | −0.340484 | + | 0.589736i | ||||
\(147\) | 11.9837 | + | 1.84119i | 0.988402 | + | 0.151859i | ||||
\(148\) | 0.0722975 | + | 0.125223i | 0.00594282 | + | 0.0102933i | ||||
\(149\) | −1.00912 | + | 6.69505i | −0.0826700 | + | 0.548480i | 0.908706 | + | 0.417436i | \(0.137071\pi\) |
−0.991377 | + | 0.131044i | \(0.958167\pi\) | |||||||
\(150\) | −12.6647 | + | 5.75415i | −1.03407 | + | 0.469824i | ||||
\(151\) | 1.87850 | + | 0.579442i | 0.152871 | + | 0.0471543i | 0.370246 | − | 0.928934i | \(-0.379273\pi\) |
−0.217375 | + | 0.976088i | \(0.569750\pi\) | |||||||
\(152\) | −9.96928 | − | 4.80095i | −0.808615 | − | 0.389409i | ||||
\(153\) | 3.28105 | − | 7.37345i | 0.265257 | − | 0.596108i | ||||
\(154\) | 15.9138 | − | 13.9672i | 1.28237 | − | 1.12551i | ||||
\(155\) | 7.98807 | + | 11.7163i | 0.641617 | + | 0.941079i | ||||
\(156\) | −15.4859 | − | 28.2619i | −1.23986 | − | 2.26276i | ||||
\(157\) | 4.08291 | − | 5.98853i | 0.325852 | − | 0.477937i | −0.628000 | − | 0.778213i | \(-0.716126\pi\) |
0.953852 | + | 0.300276i | \(0.0970788\pi\) | |||||||
\(158\) | −3.45628 | + | 22.9309i | −0.274967 | + | 1.82428i | ||||
\(159\) | 0.471036 | − | 0.0602710i | 0.0373556 | − | 0.00477980i | ||||
\(160\) | −11.5363 | + | 4.52767i | −0.912026 | + | 0.357944i | ||||
\(161\) | 14.6714 | + | 16.7162i | 1.15627 | + | 1.31742i | ||||
\(162\) | 21.0569 | + | 0.306353i | 1.65439 | + | 0.0240694i | ||||
\(163\) | −15.7968 | + | 7.60734i | −1.23730 | + | 0.595853i | −0.934079 | − | 0.357066i | \(-0.883777\pi\) |
−0.303223 | + | 0.952920i | \(0.598063\pi\) | |||||||
\(164\) | 24.0092 | + | 22.2773i | 1.87480 | + | 1.73956i | ||||
\(165\) | −5.92548 | − | 16.1495i | −0.461298 | − | 1.25724i | ||||
\(166\) | 0.990762 | − | 0.572017i | 0.0768981 | − | 0.0443971i | ||||
\(167\) | 0.838572 | − | 0.258665i | 0.0648906 | − | 0.0200161i | −0.262140 | − | 0.965030i | \(-0.584428\pi\) |
0.327031 | + | 0.945014i | \(0.393952\pi\) | |||||||
\(168\) | −8.58356 | + | 13.2863i | −0.662236 | + | 1.02506i | ||||
\(169\) | −14.9693 | − | 4.61742i | −1.15149 | − | 0.355186i | ||||
\(170\) | 17.8206 | − | 4.06744i | 1.36678 | − | 0.311959i | ||||
\(171\) | 1.85660 | − | 9.43608i | 0.141977 | − | 0.721595i | ||||
\(172\) | 11.1079 | + | 13.9288i | 0.846966 | + | 1.06206i | ||||
\(173\) | −4.98152 | − | 1.53659i | −0.378738 | − | 0.116825i | 0.0995405 | − | 0.995034i | \(-0.468263\pi\) |
−0.478278 | + | 0.878208i | \(0.658739\pi\) | |||||||
\(174\) | −16.2865 | + | 31.9721i | −1.23467 | + | 2.42380i | ||||
\(175\) | 9.01361 | − | 1.10463i | 0.681365 | − | 0.0835024i | ||||
\(176\) | 1.13554 | + | 3.68134i | 0.0855949 | + | 0.277492i | ||||
\(177\) | 15.3167 | + | 12.7846i | 1.15128 | + | 0.960952i | ||||
\(178\) | 22.7024 | + | 13.1072i | 1.70161 | + | 0.982428i | ||||
\(179\) | −8.08373 | − | 1.84506i | −0.604206 | − | 0.137906i | −0.0905351 | − | 0.995893i | \(-0.528858\pi\) |
−0.513671 | + | 0.857987i | \(0.671715\pi\) | |||||||
\(180\) | 17.7996 | + | 24.4885i | 1.32671 | + | 1.82526i | ||||
\(181\) | −1.19410 | + | 0.952260i | −0.0887565 | + | 0.0707809i | −0.666863 | − | 0.745181i | \(-0.732363\pi\) |
0.578106 | + | 0.815961i | \(0.303792\pi\) | |||||||
\(182\) | 6.47918 | + | 32.5061i | 0.480269 | + | 2.40951i | ||||
\(183\) | 1.29938 | − | 1.15272i | 0.0960527 | − | 0.0852117i | ||||
\(184\) | −27.7277 | + | 8.55285i | −2.04411 | + | 0.630525i | ||||
\(185\) | −0.119474 | − | 0.0180079i | −0.00878393 | − | 0.00132396i | ||||
\(186\) | 13.7821 | − | 14.2037i | 1.01055 | − | 1.04147i | ||||
\(187\) | 1.37133 | + | 9.09816i | 0.100281 | + | 0.665323i | ||||
\(188\) | −14.0256 | − | 6.75436i | −1.02292 | − | 0.492613i | ||||
\(189\) | −13.0539 | − | 4.31239i | −0.949529 | − | 0.313680i | ||||
\(190\) | 19.6245 | − | 9.45068i | 1.42371 | − | 0.685624i | ||||
\(191\) | −12.1397 | − | 17.8057i | −0.878401 | − | 1.28838i | −0.956590 | − | 0.291438i | \(-0.905866\pi\) |
0.0781890 | − | 0.996939i | \(-0.475086\pi\) | |||||||
\(192\) | 11.5474 | + | 17.7774i | 0.833363 | + | 1.28298i | ||||
\(193\) | 0.637484 | + | 8.50663i | 0.0458871 | + | 0.612321i | 0.971986 | + | 0.235039i | \(0.0755219\pi\) |
−0.926099 | + | 0.377281i | \(0.876859\pi\) | |||||||
\(194\) | −14.1171 | − | 2.12781i | −1.01355 | − | 0.152768i | ||||
\(195\) | 26.5314 | + | 4.60721i | 1.89996 | + | 0.329929i | ||||
\(196\) | 18.7197 | − | 15.5348i | 1.33712 | − | 1.10963i | ||||
\(197\) | − | 17.7088i | − | 1.26170i | −0.775905 | − | 0.630850i | \(-0.782706\pi\) | ||
0.775905 | − | 0.630850i | \(-0.217294\pi\) | |||||||
\(198\) | −20.4213 | + | 12.6253i | −1.45128 | + | 0.897240i | ||||
\(199\) | 6.45938 | − | 13.4130i | 0.457893 | − | 0.950826i | −0.536382 | − | 0.843976i | \(-0.680209\pi\) |
0.994275 | − | 0.106850i | \(-0.0340765\pi\) | |||||||
\(200\) | −3.49208 | + | 11.3210i | −0.246927 | + | 0.800519i | ||||
\(201\) | −4.07821 | − | 8.97601i | −0.287655 | − | 0.633119i | ||||
\(202\) | 9.00276 | − | 13.2046i | 0.633432 | − | 0.929074i | ||||
\(203\) | 16.4010 | − | 16.7237i | 1.15112 | − | 1.17378i | ||||
\(204\) | −6.69807 | − | 14.7422i | −0.468959 | − | 1.03216i | ||||
\(205\) | −27.0622 | + | 4.07898i | −1.89011 | + | 0.284888i | ||||
\(206\) | −16.0948 | + | 7.75083i | −1.12137 | + | 0.540026i | ||||
\(207\) | −13.2619 | − | 21.4509i | −0.921763 | − | 1.49094i | ||||
\(208\) | −5.87951 | − | 1.34196i | −0.407670 | − | 0.0930481i | ||||
\(209\) | 4.00561 | + | 10.2061i | 0.277074 | + | 0.705973i | ||||
\(210\) | −9.91309 | − | 29.5172i | −0.684068 | − | 2.03688i | ||||
\(211\) | 5.61843 | − | 14.3155i | 0.386788 | − | 0.985521i | −0.596361 | − | 0.802716i | \(-0.703387\pi\) |
0.983149 | − | 0.182804i | \(-0.0585175\pi\) | |||||||
\(212\) | 0.536722 | − | 0.787226i | 0.0368622 | − | 0.0540669i | ||||
\(213\) | 19.0331 | − | 2.43537i | 1.30413 | − | 0.166869i | ||||
\(214\) | −15.7684 | + | 27.3116i | −1.07790 | + | 1.86698i | ||||
\(215\) | −14.8868 | −1.01527 | ||||||||
\(216\) | 12.0966 | − | 13.2424i | 0.823068 | − | 0.901032i | ||||
\(217\) | −11.3634 | + | 6.14812i | −0.771397 | + | 0.417362i | ||||
\(218\) | 4.29024 | − | 13.9086i | 0.290572 | − | 0.942011i | ||||
\(219\) | −5.10773 | + | 3.31775i | −0.345149 | + | 0.224193i | ||||
\(220\) | −32.1285 | − | 12.6095i | −2.16610 | − | 0.850133i | ||||
\(221\) | −13.4075 | − | 5.26206i | −0.901887 | − | 0.353964i | ||||
\(222\) | 0.00884283 | + | 0.168399i | 0.000593492 | + | 0.0113022i | ||||
\(223\) | 2.94878 | − | 9.55970i | 0.197465 | − | 0.640165i | −0.801638 | − | 0.597810i | \(-0.796038\pi\) |
0.999103 | − | 0.0423549i | \(-0.0134860\pi\) | |||||||
\(224\) | −3.02859 | − | 10.8778i | −0.202356 | − | 0.726802i | ||||
\(225\) | −10.2867 | − | 0.459850i | −0.685778 | − | 0.0306567i | ||||
\(226\) | −8.53214 | −0.567550 | ||||||||
\(227\) | 4.47327 | − | 7.74793i | 0.296901 | − | 0.514248i | −0.678524 | − | 0.734578i | \(-0.737380\pi\) |
0.975425 | + | 0.220330i | \(0.0707134\pi\) | |||||||
\(228\) | −11.6905 | − | 15.3507i | −0.774223 | − | 1.01662i | ||||
\(229\) | −7.42790 | + | 10.8947i | −0.490849 | + | 0.719944i | −0.989125 | − | 0.147075i | \(-0.953014\pi\) |
0.498276 | + | 0.867018i | \(0.333967\pi\) | |||||||
\(230\) | 20.8681 | − | 53.1711i | 1.37600 | − | 3.50600i | ||||
\(231\) | 15.1892 | − | 3.86560i | 0.999375 | − | 0.254338i | ||||
\(232\) | 11.1646 | + | 28.4469i | 0.732992 | + | 1.86763i | ||||
\(233\) | 17.5788 | + | 4.01225i | 1.15163 | + | 0.262851i | 0.755376 | − | 0.655291i | \(-0.227454\pi\) |
0.396250 | + | 0.918143i | \(0.370311\pi\) | |||||||
\(234\) | −1.13207 | − | 37.5665i | −0.0740058 | − | 2.45580i | ||||
\(235\) | 11.7198 | − | 5.64396i | 0.764515 | − | 0.368171i | ||||
\(236\) | 39.5826 | − | 5.96611i | 2.57661 | − | 0.388361i | ||||
\(237\) | −9.98414 | + | 13.9634i | −0.648540 | + | 0.907023i | ||||
\(238\) | 2.02586 | + | 16.5306i | 0.131317 | + | 1.07152i | ||||
\(239\) | −8.01523 | + | 11.7562i | −0.518462 | + | 0.760444i | −0.992785 | − | 0.119907i | \(-0.961740\pi\) |
0.474323 | + | 0.880351i | \(0.342693\pi\) | |||||||
\(240\) | 5.63861 | + | 0.549445i | 0.363971 | + | 0.0354666i | ||||
\(241\) | 6.10576 | − | 19.7944i | 0.393307 | − | 1.27507i | −0.515154 | − | 0.857098i | \(-0.672265\pi\) |
0.908460 | − | 0.417971i | \(-0.137259\pi\) | |||||||
\(242\) | 0.708456 | − | 1.47112i | 0.0455413 | − | 0.0945674i | ||||
\(243\) | 13.7857 | + | 7.27690i | 0.884356 | + | 0.466813i | ||||
\(244\) | − | 3.48507i | − | 0.223109i | ||||||
\(245\) | 0.396102 | + | 20.3231i | 0.0253060 | + | 1.29839i | ||||
\(246\) | 13.1572 | + | 35.8592i | 0.838875 | + | 2.28630i | ||||
\(247\) | −16.9714 | − | 2.55803i | −1.07987 | − | 0.162764i | ||||
\(248\) | −1.25963 | − | 16.8087i | −0.0799869 | − | 1.06735i | ||||
\(249\) | 0.845675 | − | 0.0444073i | 0.0535925 | − | 0.00281420i | ||||
\(250\) | 6.00048 | + | 8.80109i | 0.379504 | + | 0.556630i | ||||
\(251\) | 9.67035 | − | 4.65700i | 0.610387 | − | 0.293947i | −0.103039 | − | 0.994677i | \(-0.532857\pi\) |
0.713426 | + | 0.700730i | \(0.247142\pi\) | |||||||
\(252\) | −23.8536 | + | 13.8506i | −1.50264 | + | 0.872503i | ||||
\(253\) | 25.9045 | + | 12.4750i | 1.62860 | + | 0.784294i | ||||
\(254\) | −6.43822 | − | 42.7148i | −0.403970 | − | 2.68016i | ||||
\(255\) | 13.1207 | + | 3.30469i | 0.821650 | + | 0.206948i | ||||
\(256\) | 22.3080 | + | 3.36240i | 1.39425 | + | 0.210150i | ||||
\(257\) | 8.84057 | − | 2.72695i | 0.551459 | − | 0.170103i | −0.00648814 | − | 0.999979i | \(-0.502065\pi\) |
0.557947 | + | 0.829876i | \(0.311589\pi\) | |||||||
\(258\) | 4.16977 | + | 20.3544i | 0.259598 | + | 1.26721i | ||||
\(259\) | 0.0274547 | − | 0.106607i | 0.00170595 | − | 0.00662421i | ||||
\(260\) | 42.2414 | − | 33.6864i | 2.61970 | − | 2.08914i | ||||
\(261\) | −21.4844 | + | 15.6161i | −1.32985 | + | 0.966611i | ||||
\(262\) | −29.0905 | − | 6.63972i | −1.79722 | − | 0.410203i | ||||
\(263\) | −8.90218 | − | 5.13968i | −0.548932 | − | 0.316926i | 0.199759 | − | 0.979845i | \(-0.435984\pi\) |
−0.748691 | + | 0.662919i | \(0.769317\pi\) | |||||||
\(264\) | −3.49845 | + | 20.1464i | −0.215315 | + | 1.23993i | ||||
\(265\) | 0.234668 | + | 0.760776i | 0.0144156 | + | 0.0467341i | ||||
\(266\) | 6.73681 | + | 18.6672i | 0.413060 | + | 1.14456i | ||||
\(267\) | 10.5701 | + | 16.2729i | 0.646882 | + | 0.995886i | ||||
\(268\) | −18.9022 | − | 5.83055i | −1.15463 | − | 0.356157i | ||||
\(269\) | 8.24859 | + | 10.3434i | 0.502925 | + | 0.630648i | 0.966886 | − | 0.255207i | \(-0.0821437\pi\) |
−0.463961 | + | 0.885856i | \(0.653572\pi\) | |||||||
\(270\) | 5.53392 | + | 34.8700i | 0.336784 | + | 2.12212i | ||||
\(271\) | 13.2632 | − | 3.02724i | 0.805683 | − | 0.183892i | 0.200205 | − | 0.979754i | \(-0.435839\pi\) |
0.605478 | + | 0.795862i | \(0.292982\pi\) | |||||||
\(272\) | −2.89556 | − | 0.893163i | −0.175569 | − | 0.0541560i | ||||
\(273\) | −6.64808 | + | 23.6172i | −0.402360 | + | 1.42938i | ||||
\(274\) | 4.64422 | − | 1.43255i | 0.280568 | − | 0.0865437i | ||||
\(275\) | 10.1665 | − | 5.86961i | 0.613061 | − | 0.353951i | ||||
\(276\) | −49.8537 | − | 8.65715i | −3.00084 | − | 0.521099i | ||||
\(277\) | −9.73805 | − | 9.03559i | −0.585103 | − | 0.542896i | 0.331108 | − | 0.943593i | \(-0.392578\pi\) |
−0.916211 | + | 0.400697i | \(0.868768\pi\) | |||||||
\(278\) | −9.29111 | + | 4.47436i | −0.557244 | + | 0.268354i | ||||
\(279\) | 13.8626 | − | 4.73784i | 0.829933 | − | 0.283647i | ||||
\(280\) | −24.4086 | − | 10.3674i | −1.45869 | − | 0.619572i | ||||
\(281\) | 13.7391 | − | 5.39218i | 0.819603 | − | 0.321671i | 0.0817679 | − | 0.996651i | \(-0.473943\pi\) |
0.737835 | + | 0.674981i | \(0.235848\pi\) | |||||||
\(282\) | −10.9996 | − | 14.4434i | −0.655016 | − | 0.860093i | ||||
\(283\) | −0.154160 | + | 1.02279i | −0.00916388 | + | 0.0607984i | −0.992945 | − | 0.118573i | \(-0.962168\pi\) |
0.983782 | + | 0.179371i | \(0.0574063\pi\) | |||||||
\(284\) | 21.6873 | − | 31.8094i | 1.28690 | − | 1.88754i | ||||
\(285\) | 16.1192 | + | 0.360113i | 0.954819 | + | 0.0213313i | ||||
\(286\) | 24.1370 | + | 35.4025i | 1.42725 | + | 2.09340i | ||||
\(287\) | −1.17512 | − | 24.9078i | −0.0693650 | − | 1.47026i | ||||
\(288\) | 1.34094 | + | 12.7330i | 0.0790157 | + | 0.750297i | ||||
\(289\) | 8.79616 | + | 4.23601i | 0.517421 | + | 0.249177i | ||||
\(290\) | −57.4836 | − | 17.7314i | −3.37556 | − | 1.04122i | ||||
\(291\) | −8.59642 | − | 6.14661i | −0.503931 | − | 0.360321i | ||||
\(292\) | −1.82133 | + | 12.0837i | −0.106585 | + | 0.707148i | ||||
\(293\) | −8.49703 | − | 14.7173i | −0.496402 | − | 0.859793i | 0.503590 | − | 0.863943i | \(-0.332012\pi\) |
−0.999991 | + | 0.00415008i | \(0.998679\pi\) | |||||||
\(294\) | 27.6764 | − | 6.23406i | 1.61412 | − | 0.363578i | ||||
\(295\) | −16.7244 | + | 28.9675i | −0.973733 | + | 1.68656i | ||||
\(296\) | 0.112287 | + | 0.0895457i | 0.00652653 | + | 0.00520474i | ||||
\(297\) | −17.7113 | + | 1.46610i | −1.02772 | + | 0.0850715i | ||||
\(298\) | 3.52534 | + | 15.4455i | 0.204217 | + | 0.894735i | ||||
\(299\) | −37.1875 | + | 25.3540i | −2.15061 | + | 1.46626i | ||||
\(300\) | −14.3868 | + | 14.8269i | −0.830625 | + | 0.856033i | ||||
\(301\) | 1.38724 | − | 13.4925i | 0.0799593 | − | 0.777694i | ||||
\(302\) | 4.58702 | − | 0.343750i | 0.263953 | − | 0.0197806i | ||||
\(303\) | 10.3746 | − | 5.68468i | 0.596005 | − | 0.326576i | ||||
\(304\) | −3.60074 | − | 0.269838i | −0.206517 | − | 0.0154763i | ||||
\(305\) | 2.27680 | + | 1.81568i | 0.130369 | + | 0.103966i | ||||
\(306\) | 0.843349 | − | 18.8654i | 0.0482110 | − | 1.07846i | ||||
\(307\) | 3.33551 | + | 2.65998i | 0.190368 | + | 0.151813i | 0.714036 | − | 0.700109i | \(-0.246865\pi\) |
−0.523668 | + | 0.851922i | \(0.675437\pi\) | |||||||
\(308\) | 14.4225 | − | 27.9444i | 0.821797 | − | 1.59228i | ||||
\(309\) | −13.2199 | − | 0.295341i | −0.752055 | − | 0.0168014i | ||||
\(310\) | 27.4151 | + | 18.6913i | 1.55707 | + | 1.06160i | ||||
\(311\) | 32.4090 | − | 9.99686i | 1.83775 | − | 0.566870i | 0.837970 | − | 0.545716i | \(-0.183742\pi\) |
0.999776 | − | 0.0211542i | \(-0.00673410\pi\) | |||||||
\(312\) | −24.5738 | − | 20.5114i | −1.39122 | − | 1.16123i | ||||
\(313\) | 1.99744 | + | 1.15322i | 0.112902 | + | 0.0651839i | 0.555388 | − | 0.831592i | \(-0.312570\pi\) |
−0.442486 | + | 0.896776i | \(0.645903\pi\) | |||||||
\(314\) | 3.77384 | − | 16.5343i | 0.212970 | − | 0.933084i | ||||
\(315\) | 3.37890 | − | 22.7995i | 0.190380 | − | 1.28461i | ||||
\(316\) | 7.66383 | + | 33.5774i | 0.431124 | + | 1.88888i | ||||
\(317\) | −0.660319 | + | 2.14070i | −0.0370872 | + | 0.120234i | −0.972224 | − | 0.234054i | \(-0.924801\pi\) |
0.935136 | + | 0.354288i | \(0.115277\pi\) | |||||||
\(318\) | 0.974466 | − | 0.533951i | 0.0546453 | − | 0.0299425i | ||||
\(319\) | 11.0627 | − | 28.1872i | 0.619390 | − | 1.57818i | ||||
\(320\) | −26.0528 | + | 24.1735i | −1.45640 | + | 1.35134i | ||||
\(321\) | −19.5768 | + | 12.7162i | −1.09267 | + | 0.709748i | ||||
\(322\) | 46.2466 | + | 23.8685i | 2.57722 | + | 1.33014i | ||||
\(323\) | −8.40755 | − | 1.91897i | −0.467809 | − | 0.106774i | ||||
\(324\) | 29.2775 | − | 11.0018i | 1.62653 | − | 0.611212i | ||||
\(325\) | 18.3766i | 1.01935i | ||||||||
\(326\) | −27.9047 | + | 30.0741i | −1.54550 | + | 1.66565i | ||||
\(327\) | 7.50285 | − | 7.73236i | 0.414909 | − | 0.427600i | ||||
\(328\) | 30.2827 | + | 11.8851i | 1.67208 | + | 0.656245i | ||||
\(329\) | 4.02323 | + | 11.1481i | 0.221808 | + | 0.614614i | ||||
\(330\) | −26.7123 | − | 30.1107i | −1.47046 | − | 1.65754i | ||||
\(331\) | 16.8723 | + | 15.6552i | 0.927384 | + | 0.860487i | 0.990499 | − | 0.137520i | \(-0.0439130\pi\) |
−0.0631150 | + | 0.998006i | \(0.520103\pi\) | |||||||
\(332\) | 1.05936 | − | 1.32840i | 0.0581400 | − | 0.0729053i | ||||
\(333\) | −0.0507473 | + | 0.114043i | −0.00278093 | + | 0.00624954i | ||||
\(334\) | 1.60542 | − | 1.28028i | 0.0878445 | − | 0.0700537i | ||||
\(335\) | 13.6569 | − | 9.31113i | 0.746157 | − | 0.508721i | ||||
\(336\) | −1.02343 | + | 5.05931i | −0.0558325 | + | 0.276008i | ||||
\(337\) | −16.2373 | − | 11.0704i | −0.884499 | − | 0.603041i | 0.0335809 | − | 0.999436i | \(-0.489309\pi\) |
−0.918080 | + | 0.396395i | \(0.870261\pi\) | |||||||
\(338\) | −36.5528 | + | 2.73925i | −1.98821 | + | 0.148996i | ||||
\(339\) | −5.62761 | − | 2.86668i | −0.305650 | − | 0.155697i | ||||
\(340\) | 22.4302 | − | 15.2926i | 1.21645 | − | 0.829359i | ||||
\(341\) | −10.4135 | + | 13.0581i | −0.563920 | + | 0.707134i | ||||
\(342\) | −4.02260 | − | 22.1404i | −0.217517 | − | 1.19722i | ||||
\(343\) | −18.4566 | − | 1.53483i | −0.996560 | − | 0.0828729i | ||||
\(344\) | 15.3247 | + | 8.84775i | 0.826255 | + | 0.477038i | ||||
\(345\) | 31.6289 | − | 28.0591i | 1.70284 | − | 1.51065i | ||||
\(346\) | −12.1641 | + | 0.911573i | −0.653946 | + | 0.0490065i | ||||
\(347\) | −0.223439 | − | 0.240810i | −0.0119948 | − | 0.0129273i | 0.727026 | − | 0.686610i | \(-0.240902\pi\) |
−0.739021 | + | 0.673683i | \(0.764711\pi\) | |||||||
\(348\) | −5.16826 | + | 53.0385i | −0.277048 | + | 2.84316i | ||||
\(349\) | −28.1933 | − | 2.11279i | −1.50915 | − | 0.113095i | −0.705719 | − | 0.708492i | \(-0.749376\pi\) |
−0.803432 | + | 0.595396i | \(0.796995\pi\) | |||||||
\(350\) | 18.6887 | − | 10.1115i | 0.998955 | − | 0.540481i | ||||
\(351\) | 11.8751 | − | 25.1584i | 0.633847 | − | 1.34285i | ||||
\(352\) | −9.10091 | − | 11.4122i | −0.485080 | − | 0.608271i | ||||
\(353\) | 0.488442 | − | 6.51780i | 0.0259971 | − | 0.346908i | −0.969004 | − | 0.247045i | \(-0.920541\pi\) |
0.995001 | − | 0.0998629i | \(-0.0318404\pi\) | |||||||
\(354\) | 44.2913 | + | 14.7532i | 2.35406 | + | 0.784125i | ||||
\(355\) | 9.48222 | + | 30.7406i | 0.503264 | + | 1.63154i | ||||
\(356\) | 38.4980 | + | 5.80264i | 2.04039 | + | 0.307540i | ||||
\(357\) | −4.21785 | + | 11.5839i | −0.223232 | + | 0.613085i | ||||
\(358\) | −19.1849 | + | 2.89166i | −1.01395 | + | 0.152829i | ||||
\(359\) | −6.65289 | − | 13.8149i | −0.351126 | − | 0.729121i | 0.648355 | − | 0.761338i | \(-0.275457\pi\) |
−0.999481 | + | 0.0322175i | \(0.989743\pi\) | |||||||
\(360\) | 25.3438 | + | 16.1829i | 1.33573 | + | 0.852912i | ||||
\(361\) | 8.72372 | 0.459143 | ||||||||
\(362\) | −1.78688 | + | 3.09496i | −0.0939161 | + | 0.162667i | ||||
\(363\) | 0.961559 | − | 0.732289i | 0.0504688 | − | 0.0384352i | ||||
\(364\) | 26.5951 | + | 41.4243i | 1.39396 | + | 2.17122i | ||||
\(365\) | −6.94541 | − | 7.48537i | −0.363539 | − | 0.391802i | ||||
\(366\) | 1.84483 | − | 3.62160i | 0.0964306 | − | 0.189304i | ||||
\(367\) | 4.31508 | + | 28.6287i | 0.225245 | + | 1.49441i | 0.760291 | + | 0.649582i | \(0.225056\pi\) |
−0.535046 | + | 0.844823i | \(0.679706\pi\) | |||||||
\(368\) | −7.40316 | + | 5.90382i | −0.385916 | + | 0.307758i | ||||
\(369\) | −3.36999 | + | 28.0726i | −0.175434 | + | 1.46140i | ||||
\(370\) | −0.275628 | + | 0.0629103i | −0.0143292 | + | 0.00327055i | ||||
\(371\) | −0.711391 | + | 0.141796i | −0.0369336 | + | 0.00736168i | ||||
\(372\) | 11.3470 | − | 27.1148i | 0.588315 | − | 1.40583i | ||||
\(373\) | 6.21304 | + | 10.7613i | 0.321699 | + | 0.557199i | 0.980839 | − | 0.194821i | \(-0.0624127\pi\) |
−0.659140 | + | 0.752021i | \(0.729079\pi\) | |||||||
\(374\) | 10.7646 | + | 18.6449i | 0.556627 | + | 0.964106i | ||||
\(375\) | 1.00074 | + | 7.82108i | 0.0516780 | + | 0.403879i | ||||
\(376\) | −15.4190 | − | 1.15550i | −0.795175 | − | 0.0595901i | ||||
\(377\) | 29.5540 | + | 37.0595i | 1.52211 | + | 1.90866i | ||||
\(378\) | −32.1199 | + | 1.76621i | −1.65207 | + | 0.0908443i | ||||
\(379\) | 6.49202 | − | 8.14073i | 0.333472 | − | 0.418161i | −0.586620 | − | 0.809862i | \(-0.699542\pi\) |
0.920093 | + | 0.391701i | \(0.128113\pi\) | |||||||
\(380\) | 22.0031 | − | 23.7138i | 1.12874 | − | 1.21649i | ||||
\(381\) | 10.1051 | − | 30.3369i | 0.517698 | − | 1.55421i | ||||
\(382\) | −41.6637 | − | 28.4058i | −2.13170 | − | 1.45337i | ||||
\(383\) | 11.0484 | − | 28.1508i | 0.564545 | − | 1.43844i | −0.308702 | − | 0.951159i | \(-0.599895\pi\) |
0.873247 | − | 0.487278i | \(-0.162010\pi\) | |||||||
\(384\) | 28.3233 | + | 20.2517i | 1.44536 | + | 1.03346i | ||||
\(385\) | 10.7421 | + | 23.9809i | 0.547469 | + | 1.22218i | ||||
\(386\) | 8.66054 | + | 17.9838i | 0.440810 | + | 0.915351i | ||||
\(387\) | −4.08851 | + | 14.8263i | −0.207831 | + | 0.753663i | ||||
\(388\) | −20.6715 | + | 4.71814i | −1.04944 | + | 0.239527i | ||||
\(389\) | 11.9758 | + | 17.5653i | 0.607199 | + | 0.890597i | 0.999573 | − | 0.0292086i | \(-0.00929871\pi\) |
−0.392375 | + | 0.919805i | \(0.628346\pi\) | |||||||
\(390\) | 61.7282 | − | 12.6455i | 3.12573 | − | 0.640331i | ||||
\(391\) | −19.5850 | + | 11.3074i | −0.990456 | + | 0.571840i | ||||
\(392\) | 11.6710 | − | 21.1564i | 0.589474 | − | 1.06856i | ||||
\(393\) | −16.9566 | − | 14.1534i | −0.855347 | − | 0.713945i | ||||
\(394\) | −15.1386 | − | 38.5725i | −0.762672 | − | 1.94326i | ||||
\(395\) | −25.9289 | − | 12.4867i | −1.30462 | − | 0.628274i | ||||
\(396\) | −21.3821 | + | 28.5350i | −1.07449 | + | 1.43394i | ||||
\(397\) | −6.39242 | + | 13.2740i | −0.320826 | + | 0.666202i | −0.997544 | − | 0.0700399i | \(-0.977687\pi\) |
0.676718 | + | 0.736242i | \(0.263402\pi\) | |||||||
\(398\) | 2.60322 | − | 34.7376i | 0.130488 | − | 1.74124i | ||||
\(399\) | −1.82848 | + | 14.5760i | −0.0915383 | + | 0.729711i | ||||
\(400\) | 0.288917 | + | 3.85533i | 0.0144458 | + | 0.192766i | ||||
\(401\) | 23.6911 | + | 9.29809i | 1.18308 | + | 0.464324i | 0.873630 | − | 0.486592i | \(-0.161760\pi\) |
0.309450 | + | 0.950916i | \(0.399855\pi\) | |||||||
\(402\) | −16.5562 | − | 16.0648i | −0.825750 | − | 0.801241i | ||||
\(403\) | −9.55190 | − | 24.3378i | −0.475814 | − | 1.21235i | ||||
\(404\) | 5.28162 | − | 23.1403i | 0.262771 | − | 1.15127i | ||||
\(405\) | −8.06579 | + | 24.8588i | −0.400792 | + | 1.23524i | ||||
\(406\) | 21.4274 | − | 50.4475i | 1.06342 | − | 2.50367i | ||||
\(407\) | −0.0212100 | − | 0.140719i | −0.00105134 | − | 0.00697520i | ||||
\(408\) | −11.5426 | − | 11.2000i | −0.571446 | − | 0.554484i | ||||
\(409\) | −7.12826 | − | 23.1092i | −0.352470 | − | 1.14268i | −0.942192 | − | 0.335073i | \(-0.891239\pi\) |
0.589723 | − | 0.807606i | \(-0.299237\pi\) | |||||||
\(410\) | −55.4588 | + | 32.0192i | −2.73892 | + | 1.58131i | ||||
\(411\) | 3.54455 | + | 0.615514i | 0.174840 | + | 0.0303611i | ||||
\(412\) | −18.0455 | + | 19.4485i | −0.889040 | + | 0.958157i | ||||
\(413\) | −24.6960 | − | 17.8574i | −1.21521 | − | 0.878707i | ||||
\(414\) | −47.2240 | − | 35.3864i | −2.32093 | − | 1.73915i | ||||
\(415\) | 0.315926 | + | 1.38416i | 0.0155082 | + | 0.0679458i | ||||
\(416\) | 22.5945 | − | 3.40558i | 1.10779 | − | 0.166972i | ||||
\(417\) | −7.63153 | − | 0.170493i | −0.373718 | − | 0.00834908i | ||||
\(418\) | 17.4497 | + | 18.8063i | 0.853492 | + | 0.919846i | ||||
\(419\) | −24.4130 | + | 22.6520i | −1.19265 | + | 1.10662i | −0.200747 | + | 0.979643i | \(0.564337\pi\) |
−0.991906 | + | 0.126977i | \(0.959472\pi\) | |||||||
\(420\) | −29.7207 | − | 35.4289i | −1.45022 | − | 1.72875i | ||||
\(421\) | 25.1243 | + | 23.3120i | 1.22448 | + | 1.13616i | 0.986305 | + | 0.164934i | \(0.0527412\pi\) |
0.238180 | + | 0.971221i | \(0.423449\pi\) | |||||||
\(422\) | − | 35.9844i | − | 1.75169i | ||||||
\(423\) | −2.40230 | − | 13.2223i | −0.116804 | − | 0.642889i | ||||
\(424\) | 0.210585 | − | 0.922631i | 0.0102269 | − | 0.0448069i | ||||
\(425\) | −0.690020 | + | 9.20768i | −0.0334709 | + | 0.446638i | ||||
\(426\) | 39.3751 | − | 21.5753i | 1.90773 | − | 1.04533i | ||||
\(427\) | −1.85780 | + | 1.89436i | −0.0899052 | + | 0.0916745i | ||||
\(428\) | −6.98075 | + | 46.3143i | −0.337427 | + | 2.23868i | ||||
\(429\) | 4.02550 | + | 31.4604i | 0.194353 | + | 1.51892i | ||||
\(430\) | −32.4257 | + | 12.7261i | −1.56370 | + | 0.613709i | ||||
\(431\) | −4.35771 | − | 9.04887i | −0.209903 | − | 0.435869i | 0.769262 | − | 0.638934i | \(-0.220624\pi\) |
−0.979165 | + | 0.203065i | \(0.934910\pi\) | |||||||
\(432\) | 2.09581 | − | 5.46481i | 0.100835 | − | 0.262926i | ||||
\(433\) | −6.13626 | + | 12.7421i | −0.294890 | + | 0.612345i | −0.994796 | − | 0.101890i | \(-0.967511\pi\) |
0.699906 | + | 0.714235i | \(0.253225\pi\) | |||||||
\(434\) | −19.4954 | + | 23.1057i | −0.935811 | + | 1.10911i | ||||
\(435\) | −31.9574 | − | 31.0089i | −1.53224 | − | 1.48676i | ||||
\(436\) | −1.61544 | − | 21.5566i | −0.0773657 | − | 1.03237i | ||||
\(437\) | −19.7545 | + | 18.3295i | −0.944986 | + | 0.876819i | ||||
\(438\) | −8.28922 | + | 11.5930i | −0.396074 | + | 0.553934i | ||||
\(439\) | −20.3223 | + | 7.97590i | −0.969929 | + | 0.380669i | −0.796809 | − | 0.604232i | \(-0.793480\pi\) |
−0.173120 | + | 0.984901i | \(0.555385\pi\) | |||||||
\(440\) | −34.2817 | −1.63431 | ||||||||
\(441\) | 20.3493 | + | 5.18705i | 0.969015 | + | 0.247002i | ||||
\(442\) | −33.7020 | −1.60304 | ||||||||
\(443\) | −33.6794 | + | 13.2182i | −1.60016 | + | 0.628016i | −0.986823 | − | 0.161806i | \(-0.948268\pi\) |
−0.613336 | + | 0.789822i | \(0.710173\pi\) | |||||||
\(444\) | 0.103598 | + | 0.228015i | 0.00491652 | + | 0.0108211i | ||||
\(445\) | −23.8479 | + | 22.1276i | −1.13050 | + | 1.04895i | ||||
\(446\) | −1.74934 | − | 23.3433i | −0.0828336 | − | 1.10534i | ||||
\(447\) | −2.86424 | + | 11.3720i | −0.135474 | + | 0.537877i | ||||
\(448\) | −19.4817 | − | 25.8654i | −0.920423 | − | 1.22203i | ||||
\(449\) | −2.24904 | + | 4.67019i | −0.106139 | + | 0.220400i | −0.947273 | − | 0.320426i | \(-0.896174\pi\) |
0.841135 | + | 0.540826i | \(0.181888\pi\) | |||||||
\(450\) | −22.7991 | + | 7.79207i | −1.07476 | + | 0.367322i | ||||
\(451\) | −13.9860 | − | 29.0423i | −0.658576 | − | 1.36755i | ||||
\(452\) | −11.7957 | + | 4.62948i | −0.554824 | + | 0.217753i | ||||
\(453\) | 3.14099 | + | 1.31445i | 0.147577 | + | 0.0617580i | ||||
\(454\) | 3.12006 | − | 20.7002i | 0.146432 | − | 0.971510i | ||||
\(455\) | −40.9182 | − | 4.20704i | −1.91828 | − | 0.197229i | ||||
\(456\) | −16.3794 | − | 9.95095i | −0.767037 | − | 0.465996i | ||||
\(457\) | 0.853200 | − | 11.3852i | 0.0399110 | − | 0.532575i | −0.941037 | − | 0.338304i | \(-0.890147\pi\) |
0.980948 | − | 0.194271i | \(-0.0622342\pi\) | |||||||
\(458\) | −6.86562 | + | 30.0803i | −0.320809 | + | 1.40556i | ||||
\(459\) | 6.89475 | − | 12.1598i | 0.321820 | − | 0.567572i | ||||
\(460\) | − | 84.8323i | − | 3.95533i | ||||||
\(461\) | −13.4608 | − | 12.4898i | −0.626931 | − | 0.581707i | 0.301384 | − | 0.953503i | \(-0.402552\pi\) |
−0.928314 | + | 0.371796i | \(0.878742\pi\) | |||||||
\(462\) | 29.7799 | − | 21.4046i | 1.38548 | − | 0.995830i | ||||
\(463\) | −22.4659 | + | 20.8453i | −1.04408 | + | 0.968762i | −0.999543 | − | 0.0302454i | \(-0.990371\pi\) |
−0.0445351 | + | 0.999008i | \(0.514181\pi\) | |||||||
\(464\) | 6.78295 | + | 7.31028i | 0.314890 | + | 0.339371i | ||||
\(465\) | 11.8024 | + | 21.5395i | 0.547323 | + | 0.998870i | ||||
\(466\) | 41.7193 | − | 6.28818i | 1.93261 | − | 0.291294i | ||||
\(467\) | 3.99779 | + | 17.5155i | 0.184996 | + | 0.810520i | 0.979205 | + | 0.202875i | \(0.0650285\pi\) |
−0.794209 | + | 0.607645i | \(0.792114\pi\) | |||||||
\(468\) | −21.9484 | − | 51.3216i | −1.01457 | − | 2.37234i | ||||
\(469\) | 7.16643 | + | 13.2455i | 0.330915 | + | 0.611621i | ||||
\(470\) | 20.7027 | − | 22.3122i | 0.954946 | − | 1.02919i | ||||
\(471\) | 8.04444 | − | 9.63769i | 0.370668 | − | 0.444081i | ||||
\(472\) | 34.4330 | − | 19.8799i | 1.58491 | − | 0.915045i | ||||
\(473\) | −5.16821 | − | 16.7549i | −0.237635 | − | 0.770393i | ||||
\(474\) | −9.81018 | + | 38.9496i | −0.450597 | + | 1.78902i | ||||
\(475\) | 1.63989 | + | 10.8800i | 0.0752432 | + | 0.499206i | ||||
\(476\) | 11.7702 | + | 21.7545i | 0.539485 | + | 0.997114i | ||||
\(477\) | 0.822136 | − | 0.0247752i | 0.0376430 | − | 0.00113438i | ||||
\(478\) | −7.40849 | + | 32.4587i | −0.338856 | + | 1.48463i | ||||
\(479\) | 12.4204 | + | 31.6467i | 0.567503 | + | 1.44597i | 0.870109 | + | 0.492859i | \(0.164048\pi\) |
−0.302606 | + | 0.953116i | \(0.597857\pi\) | |||||||
\(480\) | −20.6479 | + | 5.86730i | −0.942442 | + | 0.267805i | ||||
\(481\) | 0.207371 | + | 0.0813871i | 0.00945530 | + | 0.00371093i | ||||
\(482\) | −3.62220 | − | 48.3349i | −0.164987 | − | 2.20159i | ||||
\(483\) | 22.4838 | + | 31.2814i | 1.02305 | + | 1.42335i | ||||
\(484\) | 0.181222 | − | 2.41824i | 0.00823736 | − | 0.109920i | ||||
\(485\) | 7.68727 | − | 15.9628i | 0.349061 | − | 0.724833i | ||||
\(486\) | 36.2483 | + | 4.06529i | 1.64425 | + | 0.184405i | ||||
\(487\) | −30.7063 | − | 14.7874i | −1.39144 | − | 0.670081i | −0.420032 | − | 0.907509i | \(-0.637981\pi\) |
−0.971405 | + | 0.237428i | \(0.923695\pi\) | |||||||
\(488\) | −1.26466 | − | 3.22229i | −0.0572483 | − | 0.145866i | ||||
\(489\) | −28.5098 | + | 10.4606i | −1.28926 | + | 0.473046i | ||||
\(490\) | 18.2362 | + | 43.9282i | 0.823828 | + | 1.98447i | ||||
\(491\) | −12.0650 | + | 6.96572i | −0.544485 | + | 0.314358i | −0.746895 | − | 0.664942i | \(-0.768456\pi\) |
0.202410 | + | 0.979301i | \(0.435123\pi\) | |||||||
\(492\) | 37.6469 | + | 42.4366i | 1.69725 | + | 1.91319i | ||||
\(493\) | 13.4166 | + | 19.6786i | 0.604254 | + | 0.886278i | ||||
\(494\) | −39.1532 | + | 8.93645i | −1.76158 | + | 0.402070i | ||||
\(495\) | −7.50203 | − | 28.8353i | −0.337191 | − | 1.29605i | ||||
\(496\) | −2.38658 | − | 4.95579i | −0.107161 | − | 0.222522i | ||||
\(497\) | −28.7451 | + | 5.72953i | −1.28939 | + | 0.257005i | ||||
\(498\) | 1.80405 | − | 0.819662i | 0.0808414 | − | 0.0367300i | ||||
\(499\) | 2.38567 | − | 6.07859i | 0.106797 | − | 0.272115i | −0.867478 | − | 0.497475i | \(-0.834261\pi\) |
0.974276 | + | 0.225360i | \(0.0723558\pi\) | |||||||
\(500\) | 13.0711 | + | 8.91173i | 0.584558 | + | 0.398545i | ||||
\(501\) | 1.48905 | − | 0.305045i | 0.0665260 | − | 0.0136284i | ||||
\(502\) | 17.0824 | − | 18.4105i | 0.762427 | − | 0.821700i | ||||
\(503\) | −7.70979 | + | 9.66777i | −0.343763 | + | 0.431065i | −0.923417 | − | 0.383798i | \(-0.874616\pi\) |
0.579655 | + | 0.814862i | \(0.303187\pi\) | |||||||
\(504\) | −17.0289 | + | 21.4621i | −0.758528 | + | 0.955999i | ||||
\(505\) | 12.3659 | + | 15.5063i | 0.550274 | + | 0.690022i | ||||
\(506\) | 67.0885 | + | 5.02759i | 2.98245 | + | 0.223504i | ||||
\(507\) | −25.0297 | − | 10.4745i | −1.11161 | − | 0.465188i | ||||
\(508\) | −32.0776 | − | 55.5601i | −1.42321 | − | 2.46508i | ||||
\(509\) | −19.5237 | − | 33.8160i | −0.865371 | − | 1.49887i | −0.866679 | − | 0.498867i | \(-0.833750\pi\) |
0.00130794 | − | 0.999999i | \(-0.499584\pi\) | |||||||
\(510\) | 31.4040 | − | 4.01828i | 1.39059 | − | 0.177932i | ||||
\(511\) | 7.43152 | − | 5.59738i | 0.328751 | − | 0.247614i | ||||
\(512\) | 12.2677 | − | 2.80003i | 0.542162 | − | 0.123745i | ||||
\(513\) | 4.78564 | − | 15.9548i | 0.211291 | − | 0.704424i | ||||
\(514\) | 16.9250 | − | 13.4972i | 0.746528 | − | 0.595336i | ||||
\(515\) | −3.30415 | − | 21.9216i | −0.145598 | − | 0.965980i | ||||
\(516\) | 16.8089 | + | 25.8776i | 0.739970 | + | 1.13920i | ||||
\(517\) | 10.4210 | + | 11.2311i | 0.458314 | + | 0.493945i | ||||
\(518\) | −0.0313335 | − | 0.255676i | −0.00137671 | − | 0.0112337i | ||||
\(519\) | −8.32945 | − | 3.48571i | −0.365622 | − | 0.153006i | ||||
\(520\) | 26.8323 | − | 46.4749i | 1.17667 | − | 2.03806i | ||||
\(521\) | −7.03655 | −0.308277 | −0.154139 | − | 0.988049i | \(-0.549260\pi\) | ||||
−0.154139 | + | 0.988049i | \(0.549260\pi\) | |||||||
\(522\) | −33.4467 | + | 52.3805i | −1.46392 | + | 2.29263i | ||||
\(523\) | −5.43752 | − | 11.2911i | −0.237766 | − | 0.493727i | 0.747606 | − | 0.664143i | \(-0.231203\pi\) |
−0.985372 | + | 0.170416i | \(0.945489\pi\) | |||||||
\(524\) | −43.8204 | + | 6.60487i | −1.91430 | + | 0.288535i | ||||
\(525\) | 15.7240 | − | 0.390144i | 0.686251 | − | 0.0170273i | ||||
\(526\) | −23.7841 | − | 3.58487i | −1.03703 | − | 0.156308i | ||||
\(527\) | −3.87216 | − | 12.5532i | −0.168674 | − | 0.546828i | ||||
\(528\) | 1.33915 | + | 6.53697i | 0.0582791 | + | 0.284485i | ||||
\(529\) | −3.56229 | + | 47.5354i | −0.154882 | + | 2.06676i | ||||
\(530\) | 1.16150 | + | 1.45648i | 0.0504525 | + | 0.0632654i | ||||
\(531\) | 24.2567 | + | 24.6122i | 1.05265 | + | 1.06808i | ||||
\(532\) | 19.4424 | + | 22.1522i | 0.842934 | + | 0.960419i | ||||
\(533\) | 50.3188 | + | 3.77087i | 2.17955 | + | 0.163335i | ||||
\(534\) | 36.9345 | + | 26.4089i | 1.59831 | + | 1.14283i | ||||
\(535\) | −26.6202 | − | 28.6897i | −1.15089 | − | 1.24037i | ||||
\(536\) | −19.5927 | + | 1.46827i | −0.846274 | + | 0.0634195i | ||||
\(537\) | −13.6255 | − | 4.53859i | −0.587983 | − | 0.195854i | ||||
\(538\) | 26.8089 | + | 15.4781i | 1.15581 | + | 0.667310i | ||||
\(539\) | −22.7359 | + | 7.50134i | −0.979306 | + | 0.323105i | ||||
\(540\) | 26.5709 | + | 45.2053i | 1.14343 | + | 1.94533i | ||||
\(541\) | −18.4912 | + | 23.1872i | −0.794997 | + | 0.996895i | 0.204839 | + | 0.978796i | \(0.434333\pi\) |
−0.999836 | + | 0.0180996i | \(0.994238\pi\) | |||||||
\(542\) | 26.3015 | − | 17.9321i | 1.12975 | − | 0.770248i | ||||
\(543\) | −2.21845 | + | 1.44100i | −0.0952027 | + | 0.0618393i | ||||
\(544\) | 11.4490 | − | 0.857982i | 0.490870 | − | 0.0367857i | ||||
\(545\) | 14.9245 | + | 10.1754i | 0.639297 | + | 0.435865i | ||||
\(546\) | 5.70895 | + | 57.1252i | 0.244321 | + | 2.44473i | ||||
\(547\) | 5.68996 | − | 3.87935i | 0.243285 | − | 0.165869i | −0.435539 | − | 0.900170i | \(-0.643442\pi\) |
0.678824 | + | 0.734301i | \(0.262490\pi\) | |||||||
\(548\) | 5.64337 | − | 4.50044i | 0.241073 | − | 0.192249i | ||||
\(549\) | 2.43361 | − | 1.76889i | 0.103864 | − | 0.0754944i | ||||
\(550\) | 17.1264 | − | 21.4759i | 0.730273 | − | 0.915734i | ||||
\(551\) | 20.8047 | + | 19.3039i | 0.886310 | + | 0.822376i | ||||
\(552\) | −49.2361 | + | 10.0864i | −2.09563 | + | 0.429306i | ||||
\(553\) | 13.7334 | − | 22.3369i | 0.584005 | − | 0.949860i | ||||
\(554\) | −28.9352 | − | 11.3562i | −1.22934 | − | 0.482480i | ||||
\(555\) | −0.202935 | − | 0.0511129i | −0.00861411 | − | 0.00216962i | ||||
\(556\) | −10.4172 | + | 11.2271i | −0.441790 | + | 0.476136i | ||||
\(557\) | 18.4015i | 0.779698i | 0.920879 | + | 0.389849i | \(0.127473\pi\) | ||||
−0.920879 | + | 0.389849i | \(0.872527\pi\) | |||||||
\(558\) | 26.1447 | − | 22.1704i | 1.10679 | − | 0.938548i | ||||
\(559\) | 26.7595 | + | 6.10767i | 1.13180 | + | 0.258327i | ||||
\(560\) | −8.65061 | − | 0.239302i | −0.365555 | − | 0.0101124i | ||||
\(561\) | 0.835691 | + | 15.9145i | 0.0352829 | + | 0.671913i | ||||
\(562\) | 25.3162 | − | 23.4900i | 1.06790 | − | 0.990867i | ||||
\(563\) | −7.08656 | + | 18.0563i | −0.298663 | + | 0.760981i | 0.700229 | + | 0.713918i | \(0.253081\pi\) |
−0.998892 | + | 0.0470624i | \(0.985014\pi\) | |||||||
\(564\) | −23.0439 | − | 13.9998i | −0.970323 | − | 0.589497i | ||||
\(565\) | 3.12101 | − | 10.1181i | 0.131302 | − | 0.425670i | ||||
\(566\) | 0.538558 | + | 2.35958i | 0.0226373 | + | 0.0991804i | ||||
\(567\) | −21.7790 | − | 9.62687i | −0.914631 | − | 0.404290i | ||||
\(568\) | 8.50907 | − | 37.2807i | 0.357033 | − | 1.56426i | ||||
\(569\) | −23.4946 | − | 13.5646i | −0.984946 | − | 0.568659i | −0.0811860 | − | 0.996699i | \(-0.525871\pi\) |
−0.903760 | + | 0.428040i | \(0.859204\pi\) | |||||||
\(570\) | 35.4180 | − | 12.9953i | 1.48350 | − | 0.544315i | ||||
\(571\) | 7.34814 | − | 2.26660i | 0.307510 | − | 0.0948543i | −0.137160 | − | 0.990549i | \(-0.543797\pi\) |
0.444670 | + | 0.895695i | \(0.353321\pi\) | |||||||
\(572\) | 52.5788 | + | 35.8476i | 2.19843 | + | 1.49886i | ||||
\(573\) | −17.9365 | − | 32.7343i | −0.749308 | − | 1.36749i | ||||
\(574\) | −23.8523 | − | 53.2484i | −0.995577 | − | 2.22255i | ||||
\(575\) | 22.5587 | + | 17.9899i | 0.940762 | + | 0.750233i | ||||
\(576\) | 16.9201 | + | 32.5860i | 0.705006 | + | 1.35775i | ||||
\(577\) | 36.3951 | + | 29.0241i | 1.51515 | + | 1.20829i | 0.911681 | + | 0.410899i | \(0.134785\pi\) |
0.603465 | + | 0.797389i | \(0.293786\pi\) | |||||||
\(578\) | 22.7806 | + | 1.70717i | 0.947549 | + | 0.0710090i | ||||
\(579\) | −0.330005 | + | 14.7715i | −0.0137146 | + | 0.613884i | ||||
\(580\) | −89.0923 | + | 6.67655i | −3.69936 | + | 0.277229i | ||||
\(581\) | −1.28396 | + | 0.157352i | −0.0532678 | + | 0.00652806i | ||||
\(582\) | −23.9788 | − | 6.03951i | −0.993955 | − | 0.250346i | ||||
\(583\) | −0.774779 | + | 0.528235i | −0.0320881 | + | 0.0218773i | ||||
\(584\) | 2.70092 | + | 11.8335i | 0.111765 | + | 0.489674i | ||||
\(585\) | 44.9632 | + | 12.3991i | 1.85900 | + | 0.512640i | ||||
\(586\) | −31.0891 | − | 24.7927i | −1.28428 | − | 1.02418i | ||||
\(587\) | 5.47233 | − | 9.47835i | 0.225867 | − | 0.391213i | −0.730712 | − | 0.682686i | \(-0.760812\pi\) |
0.956579 | + | 0.291472i | \(0.0941451\pi\) | |||||||
\(588\) | 34.8802 | − | 23.6357i | 1.43844 | − | 0.974718i | ||||
\(589\) | −7.82710 | − | 13.5569i | −0.322510 | − | 0.558604i | ||||
\(590\) | −11.6651 | + | 77.3929i | −0.480245 | + | 3.18622i | ||||
\(591\) | 2.97475 | − | 30.5280i | 0.122365 | − | 1.25575i | ||||
\(592\) | 0.0447851 | + | 0.0138144i | 0.00184065 | + | 0.000567767i | ||||
\(593\) | 34.3719 | + | 16.5526i | 1.41148 | + | 0.679735i | 0.975455 | − | 0.220198i | \(-0.0706703\pi\) |
0.436029 | + | 0.899933i | \(0.356385\pi\) | |||||||
\(594\) | −37.3248 | + | 18.3342i | −1.53145 | + | 0.752260i | ||||
\(595\) | −20.3443 | − | 3.64439i | −0.834035 | − | 0.149406i | ||||
\(596\) | 13.2544 | + | 19.4407i | 0.542923 | + | 0.796322i | ||||
\(597\) | 13.3884 | − | 22.0375i | 0.547950 | − | 0.901935i | ||||
\(598\) | −59.3260 | + | 87.0153i | −2.42602 | + | 3.55832i | ||||
\(599\) | 3.18419 | − | 21.1257i | 0.130102 | − | 0.863173i | −0.824623 | − | 0.565683i | \(-0.808612\pi\) |
0.954725 | − | 0.297490i | \(-0.0961494\pi\) | |||||||
\(600\) | −7.92167 | + | 18.9296i | −0.323401 | + | 0.772797i | ||||
\(601\) | 18.1218 | − | 7.11228i | 0.739204 | − | 0.290116i | 0.0342926 | − | 0.999412i | \(-0.489082\pi\) |
0.704911 | + | 0.709296i | \(0.250987\pi\) | |||||||
\(602\) | −8.51261 | − | 30.5747i | −0.346948 | − | 1.24613i | ||||
\(603\) | −5.52257 | − | 16.1587i | −0.224896 | − | 0.658032i | ||||
\(604\) | 6.15506 | − | 2.96412i | 0.250446 | − | 0.120608i | ||||
\(605\) | 1.48542 | + | 1.37827i | 0.0603909 | + | 0.0560346i | ||||
\(606\) | 17.7379 | − | 21.2510i | 0.720551 | − | 0.863262i | ||||
\(607\) | 16.9452 | − | 9.78331i | 0.687784 | − | 0.397092i | −0.114997 | − | 0.993366i | \(-0.536686\pi\) |
0.802781 | + | 0.596273i | \(0.203353\pi\) | |||||||
\(608\) | 13.0733 | − | 4.03258i | 0.530192 | − | 0.163543i | ||||
\(609\) | 31.0827 | − | 26.0748i | 1.25953 | − | 1.05660i | ||||
\(610\) | 6.51138 | + | 2.00850i | 0.263638 | + | 0.0813216i | ||||
\(611\) | −23.3823 | + | 5.33686i | −0.945947 | + | 0.215906i | ||||
\(612\) | −9.07029 | − | 26.5391i | −0.366645 | − | 1.07278i | ||||
\(613\) | 15.8933 | + | 19.9296i | 0.641926 | + | 0.804950i | 0.991242 | − | 0.132055i | \(-0.0421576\pi\) |
−0.349317 | + | 0.937005i | \(0.613586\pi\) | |||||||
\(614\) | 9.53919 | + | 2.94245i | 0.384970 | + | 0.118748i | ||||
\(615\) | −47.3374 | + | 2.48574i | −1.90883 | + | 0.100235i | ||||
\(616\) | 3.19458 | − | 31.0709i | 0.128713 | − | 1.25188i | ||||
\(617\) | 11.7833 | + | 38.2004i | 0.474376 | + | 1.53789i | 0.804501 | + | 0.593952i | \(0.202433\pi\) |
−0.330125 | + | 0.943937i | \(0.607091\pi\) | |||||||
\(618\) | −29.0475 | + | 10.6579i | −1.16846 | + | 0.428724i | ||||
\(619\) | 31.2465 | + | 18.0402i | 1.25590 | + | 0.725096i | 0.972275 | − | 0.233839i | \(-0.0751289\pi\) |
0.283627 | + | 0.958935i | \(0.408462\pi\) | |||||||
\(620\) | 48.0433 | + | 10.9656i | 1.92947 | + | 0.440388i | ||||
\(621\) | −19.2586 | − | 39.2067i | −0.772820 | − | 1.57331i | ||||
\(622\) | 62.0460 | − | 49.4800i | 2.48782 | − | 1.98397i | ||||
\(623\) | −17.8329 | − | 23.6764i | −0.714460 | − | 0.948573i | ||||
\(624\) | −9.91017 | − | 3.30103i | −0.396724 | − | 0.132147i | ||||
\(625\) | −29.0311 | + | 8.95490i | −1.16124 | + | 0.358196i | ||||
\(626\) | 5.33657 | + | 0.804359i | 0.213292 | + | 0.0321487i | ||||
\(627\) | 5.19078 | + | 18.2671i | 0.207300 | + | 0.729517i | ||||
\(628\) | −3.75404 | − | 24.9064i | −0.149802 | − | 0.993874i | ||||
\(629\) | 0.100848 | + | 0.0485659i | 0.00402108 | + | 0.00193645i | ||||
\(630\) | −12.1307 | − | 52.5494i | −0.483299 | − | 2.09362i | ||||
\(631\) | 25.5472 | − | 12.3029i | 1.01702 | − | 0.489769i | 0.150337 | − | 0.988635i | \(-0.451964\pi\) |
0.866679 | + | 0.498865i | \(0.166250\pi\) | |||||||
\(632\) | 19.2705 | + | 28.2646i | 0.766537 | + | 1.12430i | ||||
\(633\) | 12.0903 | − | 23.7345i | 0.480545 | − | 0.943363i | ||||
\(634\) | 0.391729 | + | 5.22727i | 0.0155576 | + | 0.207601i | ||||
\(635\) | 53.0095 | + | 7.98989i | 2.10362 | + | 0.317069i | ||||
\(636\) | 1.05749 | − | 1.26693i | 0.0419321 | − | 0.0502370i | ||||
\(637\) | 7.62604 | − | 36.6939i | 0.302155 | − | 1.45387i | ||||
\(638\) | − | 70.8532i | − | 2.80511i | ||||||
\(639\) | 33.2200 | − | 1.00109i | 1.31416 | − | 0.0396025i | ||||
\(640\) | −25.3278 | + | 52.5938i | −1.00117 | + | 2.07895i | ||||
\(641\) | 3.76317 | − | 12.1999i | 0.148636 | − | 0.481867i | −0.850382 | − | 0.526166i | \(-0.823629\pi\) |
0.999018 | + | 0.0442985i | \(0.0141053\pi\) | |||||||
\(642\) | −31.7707 | + | 44.4333i | −1.25389 | + | 1.75364i | ||||
\(643\) | 18.2620 | − | 26.7855i | 0.720184 | − | 1.05632i | −0.275298 | − | 0.961359i | \(-0.588776\pi\) |
0.995481 | − | 0.0949566i | \(-0.0302712\pi\) | |||||||
\(644\) | 76.8871 | + | 7.90521i | 3.02978 | + | 0.311509i | ||||
\(645\) | −25.6631 | − | 2.50070i | −1.01048 | − | 0.0984648i | ||||
\(646\) | −19.9534 | + | 3.00749i | −0.785057 | + | 0.118328i | ||||
\(647\) | −11.1003 | + | 5.34560i | −0.436396 | + | 0.210157i | −0.639165 | − | 0.769069i | \(-0.720720\pi\) |
0.202769 | + | 0.979227i | \(0.435006\pi\) | |||||||
\(648\) | 23.0776 | − | 20.7964i | 0.906574 | − | 0.816960i | ||||
\(649\) | −38.4090 | − | 8.76659i | −1.50768 | − | 0.344119i | ||||
\(650\) | 15.7095 | + | 40.0271i | 0.616176 | + | 1.56999i | ||||
\(651\) | −20.6220 | + | 8.68982i | −0.808238 | + | 0.340581i | ||||
\(652\) | −22.2604 | + | 56.7185i | −0.871783 | + | 2.22127i | ||||
\(653\) | −9.22461 | + | 13.5300i | −0.360987 | + | 0.529470i | −0.963172 | − | 0.268886i | \(-0.913344\pi\) |
0.602185 | + | 0.798356i | \(0.294297\pi\) | |||||||
\(654\) | 9.73227 | − | 23.2562i | 0.380562 | − | 0.909389i | ||||
\(655\) | 18.5150 | − | 32.0689i | 0.723441 | − | 1.25304i | ||||
\(656\) | 10.6159 | 0.414483 | ||||||||
\(657\) | −9.36247 | + | 4.86142i | −0.365265 | + | 0.189662i | ||||
\(658\) | 18.2933 | + | 20.8430i | 0.713148 | + | 0.812543i | ||||
\(659\) | −7.98008 | + | 25.8708i | −0.310860 | + | 1.00778i | 0.656490 | + | 0.754335i | \(0.272041\pi\) |
−0.967349 | + | 0.253447i | \(0.918436\pi\) | |||||||
\(660\) | −53.2677 | − | 27.1344i | −2.07344 | − | 1.05620i | ||||
\(661\) | −11.4809 | − | 4.50591i | −0.446554 | − | 0.175260i | 0.131399 | − | 0.991330i | \(-0.458053\pi\) |
−0.577953 | + | 0.816070i | \(0.696148\pi\) | |||||||
\(662\) | 50.1335 | + | 19.6759i | 1.94849 | + | 0.764727i | ||||
\(663\) | −22.2291 | − | 11.3234i | −0.863306 | − | 0.439764i | ||||
\(664\) | 0.497437 | − | 1.61265i | 0.0193043 | − | 0.0625830i | ||||
\(665\) | −24.6013 | + | 1.16066i | −0.953996 | + | 0.0450084i | ||||
\(666\) | −0.0130439 | + | 0.291786i | −0.000505440 | + | 0.0113065i | ||||
\(667\) | 74.4256 | 2.88177 | ||||||||
\(668\) | 1.52483 | − | 2.64108i | 0.0589973 | − | 0.102186i | ||||
\(669\) | 6.68920 | − | 15.9845i | 0.258620 | − | 0.617996i | ||||
\(670\) | 21.7872 | − | 31.9559i | 0.841711 | − | 1.23456i | ||||
\(671\) | −1.25311 | + | 3.19287i | −0.0483757 | + | 0.123259i | ||||
\(672\) | −3.39369 | − | 19.2608i | −0.130914 | − | 0.743001i | ||||
\(673\) | −11.3869 | − | 29.0134i | −0.438934 | − | 1.11838i | −0.963664 | − | 0.267116i | \(-0.913929\pi\) |
0.524731 | − | 0.851268i | \(-0.324166\pi\) | |||||||
\(674\) | −44.8309 | − | 10.2324i | −1.72682 | − | 0.394136i | ||||
\(675\) | −17.6558 | − | 2.52070i | −0.679572 | − | 0.0970217i | ||||
\(676\) | −49.0481 | + | 23.6203i | −1.88646 | + | 0.908474i | ||||
\(677\) | −18.2411 | + | 2.74940i | −0.701063 | + | 0.105668i | −0.489895 | − | 0.871782i | \(-0.662965\pi\) |
−0.211168 | + | 0.977450i | \(0.567727\pi\) | |||||||
\(678\) | −14.7084 | − | 1.43324i | −0.564874 | − | 0.0550433i | ||||
\(679\) | 13.7514 | + | 8.45481i | 0.527730 | + | 0.324466i | ||||
\(680\) | 15.1895 | − | 22.2789i | 0.582491 | − | 0.854358i | ||||
\(681\) | 9.01291 | − | 12.6051i | 0.345376 | − | 0.483029i | ||||
\(682\) | −11.5193 | + | 37.3446i | −0.441096 | + | 1.43000i | ||||
\(683\) | 18.1451 | − | 37.6787i | 0.694303 | − | 1.44173i | −0.193307 | − | 0.981138i | \(-0.561921\pi\) |
0.887610 | − | 0.460596i | \(-0.152364\pi\) | |||||||
\(684\) | −17.5745 | − | 28.4266i | −0.671978 | − | 1.08692i | ||||
\(685\) | 6.03149i | 0.230451i | ||||||||
\(686\) | −41.5133 | + | 12.4347i | −1.58499 | + | 0.474760i | ||||
\(687\) | −14.6350 | + | 17.5335i | −0.558359 | + | 0.668945i | ||||
\(688\) | 5.71004 | + | 0.860650i | 0.217693 | + | 0.0328120i | ||||
\(689\) | −0.109697 | − | 1.46380i | −0.00417911 | − | 0.0557663i | ||||
\(690\) | 44.9060 | − | 88.1555i | 1.70954 | − | 3.35602i | ||||
\(691\) | −2.00315 | − | 2.93807i | −0.0762032 | − | 0.111770i | 0.786245 | − | 0.617915i | \(-0.212022\pi\) |
−0.862448 | + | 0.506145i | \(0.831070\pi\) | |||||||
\(692\) | −16.3223 | + | 7.86041i | −0.620481 | + | 0.298808i | ||||
\(693\) | 26.8338 | − | 4.11235i | 1.01933 | − | 0.156215i | ||||
\(694\) | −0.692544 | − | 0.333512i | −0.0262886 | − | 0.0126599i | ||||
\(695\) | −1.90740 | − | 12.6548i | −0.0723519 | − | 0.480023i | ||||
\(696\) | 14.4679 | + | 50.9147i | 0.548406 | + | 1.92992i | ||||
\(697\) | 25.0709 | + | 3.77883i | 0.949628 | + | 0.143133i | ||||
\(698\) | −63.2155 | + | 19.4994i | −2.39274 | + | 0.738063i | ||||
\(699\) | 29.6299 | + | 9.86957i | 1.12071 | + | 0.373302i | ||||
\(700\) | 20.3509 | − | 24.1195i | 0.769191 | − | 0.911633i | ||||
\(701\) | 0.0785064 | − | 0.0626068i | 0.00296515 | − | 0.00236462i | −0.622006 | − | 0.783012i | \(-0.713682\pi\) |
0.624971 | + | 0.780648i | \(0.285111\pi\) | |||||||
\(702\) | 4.35890 | − | 64.9505i | 0.164516 | − | 2.45140i | ||||
\(703\) | 0.130038 | + | 0.0296803i | 0.00490447 | + | 0.00111941i | ||||
\(704\) | −36.2518 | − | 20.9300i | −1.36629 | − | 0.788828i | ||||
\(705\) | 21.1517 | − | 7.76083i | 0.796618 | − | 0.292290i | ||||
\(706\) | −4.50793 | − | 14.6143i | −0.169658 | − | 0.550018i | ||||
\(707\) | −15.2064 | + | 9.76274i | −0.571894 | + | 0.367166i | ||||
\(708\) | 69.2380 | − | 3.63576i | 2.60212 | − | 0.136640i | ||||
\(709\) | −21.8314 | − | 6.73410i | −0.819896 | − | 0.252904i | −0.143695 | − | 0.989622i | \(-0.545899\pi\) |
−0.676201 | + | 0.736718i | \(0.736375\pi\) | |||||||
\(710\) | 46.9328 | + | 58.8518i | 1.76136 | + | 2.20867i | ||||
\(711\) | −19.5571 | + | 22.3942i | −0.733449 | + | 0.839850i | ||||
\(712\) | 37.7008 | − | 8.60497i | 1.41290 | − | 0.322485i | ||||
\(713\) | −39.2275 | − | 12.1001i | −1.46908 | − | 0.453151i | ||||
\(714\) | 0.715509 | + | 28.8372i | 0.0267773 | + | 1.07921i | ||||
\(715\) | −50.8122 | + | 15.6735i | −1.90027 | + | 0.586155i | ||||
\(716\) | −24.9542 | + | 14.4073i | −0.932583 | + | 0.538427i | ||||
\(717\) | −15.7922 | + | 18.9199i | −0.589769 | + | 0.706577i | ||||
\(718\) | −26.3009 | − | 24.4036i | −0.981539 | − | 0.910735i | ||||
\(719\) | −13.1001 | + | 6.30869i | −0.488552 | + | 0.235274i | −0.661908 | − | 0.749585i | \(-0.730253\pi\) |
0.173356 | + | 0.984859i | \(0.444539\pi\) | |||||||
\(720\) | 9.62803 | + | 1.89436i | 0.358815 | + | 0.0705987i | ||||
\(721\) | 20.1764 | − | 0.951895i | 0.751407 | − | 0.0354504i | ||||
\(722\) | 19.0016 | − | 7.45759i | 0.707167 | − | 0.277543i | ||||
\(723\) | 13.8507 | − | 33.0976i | 0.515114 | − | 1.23091i | ||||
\(724\) | −0.791061 | + | 5.24834i | −0.0293995 | + | 0.195053i | ||||
\(725\) | 17.1179 | − | 25.1074i | 0.635744 | − | 0.932465i | ||||
\(726\) | 1.46842 | − | 2.41704i | 0.0544981 | − | 0.0897048i | ||||
\(727\) | −9.04568 | − | 13.2676i | −0.335486 | − | 0.492067i | 0.621014 | − | 0.783799i | \(-0.286721\pi\) |
−0.956500 | + | 0.291732i | \(0.905768\pi\) | |||||||
\(728\) | 39.6217 | + | 28.6500i | 1.46848 | + | 1.06184i | ||||
\(729\) | 22.5427 | + | 14.8603i | 0.834914 | + | 0.550381i | ||||
\(730\) | −21.5272 | − | 10.3669i | −0.796756 | − | 0.383697i | ||||
\(731\) | 13.1786 | + | 4.06506i | 0.487429 | + | 0.150352i | ||||
\(732\) | 0.585427 | − | 6.00787i | 0.0216380 | − | 0.222057i | ||||
\(733\) | 0.401651 | − | 2.66478i | 0.0148353 | − | 0.0984260i | −0.980188 | − | 0.198071i | \(-0.936532\pi\) |
0.995023 | + | 0.0996446i | \(0.0317706\pi\) | |||||||
\(734\) | 33.8725 | + | 58.6689i | 1.25026 | + | 2.16551i | ||||
\(735\) | −2.73106 | + | 35.1012i | −0.100737 | + | 1.29473i | ||||
\(736\) | 17.9385 | − | 31.0704i | 0.661223 | − | 1.14527i | ||||
\(737\) | 15.2209 | + | 12.1382i | 0.560668 | + | 0.447118i | ||||
\(738\) | 16.6579 | + | 64.0274i | 0.613185 | + | 2.35688i | ||||
\(739\) | 2.46825 | + | 10.8141i | 0.0907961 | + | 0.397804i | 0.999821 | − | 0.0189388i | \(-0.00602876\pi\) |
−0.909025 | + | 0.416743i | \(0.863172\pi\) | |||||||
\(740\) | −0.346922 | + | 0.236528i | −0.0127531 | + | 0.00869493i | ||||
\(741\) | −28.8271 | − | 7.26063i | −1.05899 | − | 0.266726i | ||||
\(742\) | −1.42831 | + | 0.916996i | −0.0524347 | + | 0.0336640i | ||||
\(743\) | −8.23145 | + | 0.616862i | −0.301983 | + | 0.0226305i | −0.224860 | − | 0.974391i | \(-0.572192\pi\) |
−0.0771229 | + | 0.997022i | \(0.524573\pi\) | |||||||
\(744\) | 0.652073 | − | 29.1878i | 0.0239062 | − | 1.07008i | ||||
\(745\) | −19.6060 | − | 1.46927i | −0.718308 | − | 0.0538298i | ||||
\(746\) | 22.7324 | + | 18.1285i | 0.832293 | + | 0.663732i | ||||
\(747\) | 1.46531 | + | 0.0655044i | 0.0536128 | + | 0.00239668i | ||||
\(748\) | 24.9988 | + | 19.9359i | 0.914046 | + | 0.728928i | ||||
\(749\) | 28.4834 | − | 21.4535i | 1.04076 | − | 0.783894i | ||||
\(750\) | 8.86573 | + | 16.1800i | 0.323731 | + | 0.590812i | ||||
\(751\) | 5.73950 | + | 3.91313i | 0.209437 | + | 0.142792i | 0.663496 | − | 0.748180i | \(-0.269072\pi\) |
−0.454059 | + | 0.890972i | \(0.650024\pi\) | |||||||
\(752\) | −4.82160 | + | 1.48727i | −0.175826 | + | 0.0542350i | ||||
\(753\) | 17.4529 | − | 6.40369i | 0.636018 | − | 0.233363i | ||||
\(754\) | 96.0541 | + | 55.4568i | 3.49808 | + | 2.01962i | ||||
\(755\) | −1.27026 | + | 5.56537i | −0.0462295 | + | 0.202545i | ||||
\(756\) | −43.4475 | + | 19.8698i | −1.58017 | + | 0.722658i | ||||
\(757\) | 0.290071 | + | 1.27088i | 0.0105428 | + | 0.0461910i | 0.979926 | − | 0.199363i | \(-0.0638873\pi\) |
−0.969383 | + | 0.245554i | \(0.921030\pi\) | |||||||
\(758\) | 7.18141 | − | 23.2816i | 0.260841 | − | 0.845625i | ||||
\(759\) | 42.5609 | + | 25.8569i | 1.54486 | + | 0.938546i | ||||
\(760\) | 11.7389 | − | 29.9101i | 0.425813 | − | 1.08495i | ||||
\(761\) | −10.2665 | + | 9.52594i | −0.372161 | + | 0.345315i | −0.843974 | − | 0.536384i | \(-0.819790\pi\) |
0.471813 | + | 0.881698i | \(0.343600\pi\) | |||||||
\(762\) | −3.92347 | − | 74.7169i | −0.142132 | − | 2.70671i | ||||
\(763\) | −10.6131 | + | 12.5785i | −0.384221 | + | 0.455374i | ||||
\(764\) | −73.0131 | − | 16.6648i | −2.64152 | − | 0.602910i | ||||
\(765\) | 22.0635 | + | 7.90094i | 0.797706 | + | 0.285659i | ||||
\(766\) | − | 70.7616i | − | 2.55672i | ||||||
\(767\) | 41.9474 | − | 45.2085i | 1.51463 | − | 1.63239i | ||||
\(768\) | 37.8917 | + | 9.54372i | 1.36730 | + | 0.344379i | ||||
\(769\) | −0.907476 | − | 0.356158i | −0.0327244 | − | 0.0128434i | 0.348922 | − | 0.937152i | \(-0.386548\pi\) |
−0.381647 | + | 0.924308i | \(0.624643\pi\) | |||||||
\(770\) | 43.8984 | + | 43.0512i | 1.58199 | + | 1.55146i | ||||
\(771\) | 15.6982 | − | 3.21591i | 0.565357 | − | 0.115818i | ||||
\(772\) | 21.7311 | + | 20.1635i | 0.782121 | + | 0.725702i | ||||
\(773\) | −3.14865 | + | 3.94828i | −0.113249 | + | 0.142010i | −0.835225 | − | 0.549908i | \(-0.814663\pi\) |
0.721976 | + | 0.691918i | \(0.243234\pi\) | |||||||
\(774\) | 3.76905 | + | 35.7891i | 0.135476 | + | 1.28641i | ||||
\(775\) | −13.1043 | + | 10.4503i | −0.470720 | + | 0.375386i | ||||
\(776\) | −17.4007 | + | 11.8636i | −0.624649 | + | 0.425879i | ||||
\(777\) | 0.0652366 | − | 0.179166i | 0.00234035 | − | 0.00642753i | ||||
\(778\) | 41.1012 | + | 28.0223i | 1.47355 | + | 1.00465i | ||||
\(779\) | 30.1280 | − | 2.25778i | 1.07945 | − | 0.0808934i | ||||
\(780\) | 78.4781 | − | 50.9758i | 2.80997 | − | 1.82523i | ||||
\(781\) | −31.3064 | + | 21.3443i | −1.12023 | + | 0.763761i | ||||
\(782\) | −32.9929 | + | 41.3718i | −1.17982 | + | 1.47945i | ||||
\(783\) | −39.6598 | + | 23.3114i | −1.41733 | + | 0.833080i | ||||
\(784\) | 1.02301 | − | 7.81811i | 0.0365360 | − | 0.279218i | ||||
\(785\) | 18.2272 | + | 10.5235i | 0.650555 | + | 0.375598i | ||||
\(786\) | −49.0334 | − | 16.3328i | −1.74896 | − | 0.582571i | ||||
\(787\) | 29.5739 | − | 2.21626i | 1.05420 | − | 0.0790011i | 0.463661 | − | 0.886013i | \(-0.346536\pi\) |
0.590535 | + | 0.807012i | \(0.298917\pi\) | |||||||
\(788\) | −41.8584 | − | 45.1126i | −1.49114 | − | 1.60707i | ||||
\(789\) | −14.4830 | − | 10.3556i | −0.515607 | − | 0.368670i | ||||
\(790\) | −67.1516 | − | 5.03231i | −2.38915 | − | 0.179042i | ||||
\(791\) | 8.87958 | + | 3.77156i | 0.315722 | + | 0.134101i | ||||
\(792\) | −9.41514 | + | 34.1424i | −0.334553 | + | 1.21320i | ||||
\(793\) | −3.34769 | − | 4.19787i | −0.118880 | − | 0.149071i | ||||
\(794\) | −2.57623 | + | 34.3775i | −0.0914271 | + | 1.22001i | ||||
\(795\) | 0.276745 | + | 1.35091i | 0.00981514 | + | 0.0479119i | ||||
\(796\) | −15.2494 | − | 49.4374i | −0.540501 | − | 1.75226i | ||||
\(797\) | 10.3769 | + | 1.56406i | 0.367568 | + | 0.0554020i | 0.330230 | − | 0.943901i | \(-0.392874\pi\) |
0.0373387 | + | 0.999303i | \(0.488112\pi\) | |||||||
\(798\) | 8.47775 | + | 33.3118i | 0.300109 | + | 1.17923i | ||||
\(799\) | −11.9162 | + | 1.79608i | −0.421565 | + | 0.0635407i | ||||
\(800\) | −6.35570 | − | 13.1978i | −0.224708 | − | 0.466611i | ||||
\(801\) | 15.4882 | + | 29.8282i | 0.547247 | + | 1.05393i | ||||
\(802\) | 59.5516 | 2.10284 | ||||||||
\(803\) | 6.01350 | − | 10.4157i | 0.212212 | − | 0.367562i | ||||
\(804\) | −31.6058 | − | 13.2264i | −1.11465 | − | 0.466460i | ||||
\(805\) | −45.2218 | + | 46.1118i | −1.59386 | + | 1.62523i | ||||
\(806\) | −41.6110 | − | 44.8460i | −1.46569 | − | 1.57963i | ||||
\(807\) | 12.4821 | + | 19.2165i | 0.439392 | + | 0.676451i | ||||
\(808\) | −3.51372 | − | 23.3120i | −0.123612 | − | 0.820115i | ||||
\(809\) | 25.9799 | − | 20.7183i | 0.913404 | − | 0.728415i | −0.0493538 | − | 0.998781i | \(-0.515716\pi\) |
0.962758 | + | 0.270366i | \(0.0871448\pi\) | |||||||
\(810\) | 3.68233 | + | 61.0415i | 0.129384 | + | 2.14478i | ||||
\(811\) | 35.7440 | − | 8.15833i | 1.25514 | − | 0.286478i | 0.457282 | − | 0.889322i | \(-0.348823\pi\) |
0.797859 | + | 0.602844i | \(0.205966\pi\) | |||||||
\(812\) | 2.25095 | − | 81.3703i | 0.0789929 | − | 2.85554i | ||||
\(813\) | 23.3728 | − | 2.99065i | 0.819720 | − | 0.104887i | ||||
\(814\) | −0.166494 | − | 0.288377i | −0.00583563 | − | 0.0101076i | ||||
\(815\) | −25.4568 | − | 44.0924i | −0.891711 | − | 1.54449i | ||||
\(816\) | −4.84159 | − | 2.02611i | −0.169489 | − | 0.0709281i | ||||
\(817\) | 16.3881 | + | 1.22812i | 0.573347 | + | 0.0429664i | ||||
\(818\) | −35.2817 | − | 44.2419i | −1.23360 | − | 1.54688i | ||||
\(819\) | −15.4278 | + | 39.5967i | −0.539090 | + | 1.38362i | ||||
\(820\) | −59.2987 | + | 74.3583i | −2.07080 | + | 2.59670i | ||||
\(821\) | −25.5336 | + | 27.5187i | −0.891129 | + | 0.960409i | −0.999432 | − | 0.0337089i | \(-0.989268\pi\) |
0.108302 | + | 0.994118i | \(0.465459\pi\) | |||||||
\(822\) | 8.24675 | − | 1.68942i | 0.287639 | − | 0.0589251i | ||||
\(823\) | 33.5417 | + | 22.8684i | 1.16919 | + | 0.797141i | 0.982680 | − | 0.185312i | \(-0.0593296\pi\) |
0.186511 | + | 0.982453i | \(0.440282\pi\) | |||||||
\(824\) | −9.62744 | + | 24.5303i | −0.335388 | + | 0.854554i | ||||
\(825\) | 18.5118 | − | 8.41076i | 0.644498 | − | 0.292825i | ||||
\(826\) | −69.0574 | − | 17.7845i | −2.40282 | − | 0.618803i | ||||
\(827\) | 17.4564 | + | 36.2485i | 0.607017 | + | 1.26048i | 0.947356 | + | 0.320182i | \(0.103744\pi\) |
−0.340339 | + | 0.940303i | \(0.610542\pi\) | |||||||
\(828\) | −84.4878 | − | 23.2984i | −2.93615 | − | 0.809676i | ||||
\(829\) | 39.9229 | − | 9.11214i | 1.38658 | − | 0.316478i | 0.536842 | − | 0.843683i | \(-0.319617\pi\) |
0.849738 | + | 0.527205i | \(0.176760\pi\) | |||||||
\(830\) | 1.87140 | + | 2.74485i | 0.0649574 | + | 0.0952750i | ||||
\(831\) | −15.2695 | − | 17.2121i | −0.529692 | − | 0.597082i | ||||
\(832\) | 56.7486 | − | 32.7638i | 1.96740 | − | 1.13588i | ||||
\(833\) | 5.19888 | − | 18.0993i | 0.180130 | − | 0.627103i | ||||
\(834\) | −16.7684 | + | 6.15256i | −0.580643 | + | 0.213046i | ||||
\(835\) | 0.930997 | + | 2.37214i | 0.0322185 | + | 0.0820914i | ||||
\(836\) | 34.3285 | + | 16.5317i | 1.18727 | + | 0.571761i | ||||
\(837\) | 24.6934 | − | 5.83884i | 0.853530 | − | 0.201820i | ||||
\(838\) | −33.8110 | + | 70.2093i | −1.16798 | + | 2.42534i | ||||
\(839\) | 2.41381 | − | 32.2100i | 0.0833338 | − | 1.11201i | −0.786145 | − | 0.618042i | \(-0.787926\pi\) |
0.869479 | − | 0.493970i | \(-0.164455\pi\) | |||||||
\(840\) | −40.3360 | − | 21.9724i | −1.39173 | − | 0.758121i | ||||
\(841\) | −3.69034 | − | 49.2442i | −0.127253 | − | 1.69807i | ||||
\(842\) | 74.6532 | + | 29.2992i | 2.57272 | + | 1.00972i | ||||
\(843\) | 24.5903 | − | 6.98760i | 0.846936 | − | 0.240666i | ||||
\(844\) | −19.5249 | − | 49.7486i | −0.672075 | − | 1.71242i | ||||
\(845\) | 10.1224 | − | 44.3490i | 0.348220 | − | 1.52565i | ||||
\(846\) | −16.5358 | − | 26.7465i | −0.568513 | − | 0.919564i | ||||
\(847\) | −1.38760 | + | 1.21786i | −0.0476786 | + | 0.0418463i | ||||
\(848\) | −0.0460277 | − | 0.305374i | −0.00158060 | − | 0.0104866i | ||||
\(849\) | −0.437564 | + | 1.73727i | −0.0150172 | + | 0.0596230i | ||||
\(850\) | 6.36833 | + | 20.6456i | 0.218432 | + | 0.708139i | ||||
\(851\) | 0.302917 | − | 0.174889i | 0.0103839 | − | 0.00599512i | ||||
\(852\) | 42.7297 | − | 51.1927i | 1.46390 | − | 1.75383i | ||||
\(853\) | −2.23966 | + | 2.41377i | −0.0766843 | + | 0.0826461i | −0.770228 | − | 0.637768i | \(-0.779858\pi\) |
0.693544 | + | 0.720414i | \(0.256048\pi\) | |||||||
\(854\) | −2.42716 | + | 5.71438i | −0.0830556 | + | 0.195542i | ||||
\(855\) | 27.7272 | + | 3.32852i | 0.948249 | + | 0.113833i | ||||
\(856\) | 10.3520 | + | 45.3552i | 0.353825 | + | 1.55021i | ||||
\(857\) | −30.4416 | + | 4.58833i | −1.03987 | + | 0.156734i | −0.646709 | − | 0.762737i | \(-0.723855\pi\) |
−0.393157 | + | 0.919472i | \(0.628617\pi\) | |||||||
\(858\) | 35.6625 | + | 65.0845i | 1.21750 | + | 2.22195i | ||||
\(859\) | −25.0685 | − | 27.0174i | −0.855326 | − | 0.921822i | 0.142360 | − | 0.989815i | \(-0.454531\pi\) |
−0.997686 | + | 0.0679930i | \(0.978340\pi\) | |||||||
\(860\) | −37.9235 | + | 35.1879i | −1.29318 | + | 1.19990i | ||||
\(861\) | 2.15827 | − | 43.1355i | 0.0735536 | − | 1.47006i | ||||
\(862\) | −17.2273 | − | 15.9846i | −0.586765 | − | 0.544438i | ||||
\(863\) | 16.6862i | 0.568005i | 0.958824 | + | 0.284002i | \(0.0916623\pi\) | ||||
−0.958824 | + | 0.284002i | \(0.908338\pi\) | |||||||
\(864\) | 0.172731 | + | 22.1754i | 0.00587641 | + | 0.754423i | ||||
\(865\) | 3.36854 | − | 14.7585i | 0.114534 | − | 0.501806i | ||||
\(866\) | −2.47300 | + | 32.9999i | −0.0840359 | + | 1.12138i | ||||
\(867\) | 14.4520 | + | 8.77998i | 0.490816 | + | 0.298184i | ||||
\(868\) | −14.4156 | + | 42.5219i | −0.489296 | + | 1.44329i | ||||
\(869\) | 5.05199 | − | 33.5178i | 0.171377 | − | 1.13701i | ||||
\(870\) | −96.1167 | − | 40.2230i | −3.25866 | − | 1.36369i | ||||
\(871\) | −28.3689 | + | 11.1340i | −0.961244 | + | 0.377260i | ||||
\(872\) | −9.31604 | − | 19.3450i | −0.315481 | − | 0.655103i | ||||
\(873\) | −13.7867 | − | 12.0401i | −0.466610 | − | 0.407495i | ||||
\(874\) | −27.3592 | + | 56.8119i | −0.925438 | + | 1.92169i | ||||
\(875\) | −2.35438 | − | 11.8119i | −0.0795926 | − | 0.399317i | ||||
\(876\) | −5.16961 | + | 20.5250i | −0.174665 | + | 0.693477i | ||||
\(877\) | −0.750003 | − | 10.0081i | −0.0253258 | − | 0.337949i | −0.995446 | − | 0.0953252i | \(-0.969611\pi\) |
0.970120 | − | 0.242624i | \(-0.0780081\pi\) | |||||||
\(878\) | −37.4468 | + | 34.7455i | −1.26377 | + | 1.17260i | ||||
\(879\) | −12.1757 | − | 26.7983i | −0.410675 | − | 0.903883i | ||||
\(880\) | −10.4137 | + | 4.08709i | −0.351047 | + | 0.137776i | ||||
\(881\) | −34.4967 | −1.16222 | −0.581111 | − | 0.813824i | \(-0.697382\pi\) | ||||
−0.581111 | + | 0.813824i | \(0.697382\pi\) | |||||||
\(882\) | 48.7582 | − | 6.09768i | 1.64177 | − | 0.205320i | ||||
\(883\) | −9.79133 | −0.329504 | −0.164752 | − | 0.986335i | \(-0.552682\pi\) | ||||
−0.164752 | + | 0.986335i | \(0.552682\pi\) | |||||||
\(884\) | −46.5932 | + | 18.2865i | −1.56710 | + | 0.615041i | ||||
\(885\) | −33.6970 | + | 47.1273i | −1.13271 | + | 1.58417i | ||||
\(886\) | −62.0593 | + | 57.5826i | −2.08492 | + | 1.93453i | ||||
\(887\) | −1.33953 | − | 17.8748i | −0.0449770 | − | 0.600176i | −0.973468 | − | 0.228822i | \(-0.926513\pi\) |
0.928491 | − | 0.371354i | \(-0.121106\pi\) | |||||||
\(888\) | 0.178527 | + | 0.173229i | 0.00599099 | + | 0.00581317i | ||||
\(889\) | −12.1813 | + | 47.3002i | −0.408549 | + | 1.58640i | ||||
\(890\) | −33.0284 | + | 68.5841i | −1.10711 | + | 2.29895i | ||||
\(891\) | −30.7786 | − | 0.447792i | −1.03112 | − | 0.0150016i | ||||
\(892\) | −15.0844 | − | 31.3231i | −0.505063 | − | 1.04877i | ||||
\(893\) | −13.3674 | + | 5.24630i | −0.447322 | + | 0.175561i | ||||
\(894\) | 3.48272 | + | 27.2185i | 0.116480 | + | 0.910323i | ||||
\(895\) | 3.58858 | − | 23.8086i | 0.119953 | − | 0.795835i | ||||
\(896\) | −45.3077 | − | 27.8567i | −1.51363 | − | 0.930627i | ||||
\(897\) | −68.3660 | + | 37.4606i | −2.28268 | + | 1.25077i | ||||
\(898\) | −0.906396 | + | 12.0950i | −0.0302468 | + | 0.403616i | ||||
\(899\) | −9.62039 | + | 42.1497i | −0.320858 | + | 1.40577i | ||||
\(900\) | −27.2919 | + | 23.1432i | −0.909731 | + | 0.771440i | ||||
\(901\) | − | 0.737563i | − | 0.0245718i | ||||||
\(902\) | −55.2909 | − | 51.3025i | −1.84099 | − | 1.70819i | ||||
\(903\) | 4.65793 | − | 23.0265i | 0.155006 | − | 0.766273i | ||||
\(904\) | −9.22636 | + | 8.56081i | −0.306864 | + | 0.284728i | ||||
\(905\) | −3.01661 | − | 3.25113i | −0.100275 | − | 0.108071i | ||||
\(906\) | 7.96524 | + | 0.177948i | 0.264627 | + | 0.00591194i | ||||
\(907\) | −33.6477 | + | 5.07158i | −1.11725 | + | 0.168399i | −0.681607 | − | 0.731719i | \(-0.738719\pi\) |
−0.435647 | + | 0.900117i | \(0.643480\pi\) | |||||||
\(908\) | −6.91831 | − | 30.3111i | −0.229592 | − | 1.00591i | ||||
\(909\) | 18.8395 | − | 8.05699i | 0.624868 | − | 0.267234i | ||||
\(910\) | −92.7228 | + | 25.8159i | −3.07373 | + | 0.855789i | ||||
\(911\) | −22.5945 | + | 24.3511i | −0.748589 | + | 0.806787i | −0.986372 | − | 0.164531i | \(-0.947389\pi\) |
0.237783 | + | 0.971318i | \(0.423579\pi\) | |||||||
\(912\) | −6.16194 | − | 1.07003i | −0.204042 | − | 0.0354322i | ||||
\(913\) | −1.44818 | + | 0.836109i | −0.0479279 | + | 0.0276712i | ||||
\(914\) | −7.87435 | − | 25.5280i | −0.260460 | − | 0.844392i | ||||
\(915\) | 3.61994 | + | 3.51249i | 0.119671 | + | 0.116119i | ||||
\(916\) | 6.82959 | + | 45.3114i | 0.225656 | + | 1.49713i | ||||
\(917\) | 27.3401 | + | 19.7693i | 0.902849 | + | 0.652840i | ||||
\(918\) | 4.62286 | − | 32.3801i | 0.152577 | − | 1.06870i | ||||
\(919\) | 0.663033 | − | 2.90494i | 0.0218715 | − | 0.0958251i | −0.962814 | − | 0.270165i | \(-0.912922\pi\) |
0.984686 | + | 0.174340i | \(0.0557790\pi\) | |||||||
\(920\) | −30.7837 | − | 78.4357i | −1.01491 | − | 2.58595i | ||||
\(921\) | 5.30322 | + | 5.14581i | 0.174747 | + | 0.169560i | ||||
\(922\) | −39.9967 | − | 15.6976i | −1.31722 | − | 0.516971i | ||||
\(923\) | −4.43250 | − | 59.1476i | −0.145898 | − | 1.94687i | ||||
\(924\) | 29.5568 | − | 45.7503i | 0.972349 | − | 1.50507i | ||||
\(925\) | 0.0106724 | − | 0.142413i | 0.000350906 | − | 0.00468251i | ||||
\(926\) | −31.1143 | + | 64.6095i | −1.02248 | + | 2.12320i | ||||
\(927\) | −22.7400 | − | 2.72983i | −0.746880 | − | 0.0896595i | ||||
\(928\) | −34.0425 | − | 16.3940i | −1.11750 | − | 0.538160i | ||||
\(929\) | −12.0158 | − | 30.6157i | −0.394224 | − | 1.00447i | −0.980877 | − | 0.194629i | \(-0.937650\pi\) |
0.586653 | − | 0.809839i | \(-0.300445\pi\) | |||||||
\(930\) | 44.1208 | + | 36.8269i | 1.44678 | + | 1.20760i | ||||
\(931\) | 1.24055 | − | 22.4053i | 0.0406574 | − | 0.734305i | ||||
\(932\) | 54.2653 | − | 31.3301i | 1.77752 | − | 1.02625i | ||||
\(933\) | 57.5487 | − | 11.7893i | 1.88406 | − | 0.385965i | ||||
\(934\) | 23.6812 | + | 34.7339i | 0.774871 | + | 1.13653i | ||||
\(935\) | −26.0482 | + | 5.94533i | −0.851867 | + | 0.194433i | ||||
\(936\) | −38.9169 | − | 39.4872i | −1.27204 | − | 1.29068i | ||||
\(937\) | −19.3759 | − | 40.2344i | −0.632982 | − | 1.31440i | −0.932796 | − | 0.360404i | \(-0.882639\pi\) |
0.299814 | − | 0.953998i | \(-0.403075\pi\) | |||||||
\(938\) | 26.9327 | + | 22.7245i | 0.879384 | + | 0.741980i | ||||
\(939\) | 3.24963 | + | 2.32355i | 0.106048 | + | 0.0758263i | ||||
\(940\) | 16.5152 | − | 42.0799i | 0.538665 | − | 1.37250i | ||||
\(941\) | −6.02389 | − | 4.10702i | −0.196373 | − | 0.133885i | 0.461142 | − | 0.887327i | \(-0.347440\pi\) |
−0.657515 | + | 0.753441i | \(0.728392\pi\) | |||||||
\(942\) | 9.28313 | − | 27.8693i | 0.302461 | − | 0.908031i | ||||
\(943\) | 53.8891 | − | 58.0787i | 1.75487 | − | 1.89130i | ||||
\(944\) | 8.08960 | − | 10.1440i | 0.263294 | − | 0.330160i | ||||
\(945\) | 9.65474 | − | 38.7362i | 0.314069 | − | 1.26009i | ||||
\(946\) | −25.5804 | − | 32.0768i | −0.831689 | − | 1.04291i | ||||
\(947\) | 14.8811 | + | 1.11518i | 0.483571 | + | 0.0362386i | 0.314286 | − | 0.949328i | \(-0.398235\pi\) |
0.169285 | + | 0.985567i | \(0.445854\pi\) | |||||||
\(948\) | 7.57119 | + | 59.1710i | 0.245901 | + | 1.92179i | ||||
\(949\) | 9.41355 | + | 16.3047i | 0.305577 | + | 0.529274i | ||||
\(950\) | 12.8728 | + | 22.2963i | 0.417649 | + | 0.723389i | ||||
\(951\) | −1.49791 | + | 3.57940i | −0.0485731 | + | 0.116070i | ||||
\(952\) | 18.7769 | + | 15.8430i | 0.608562 | + | 0.513474i | ||||
\(953\) | 0.0868031 | − | 0.0198122i | 0.00281183 | − | 0.000641781i | −0.221115 | − | 0.975248i | \(-0.570970\pi\) |
0.223927 | + | 0.974606i | \(0.428112\pi\) | |||||||
\(954\) | 1.76956 | − | 0.756778i | 0.0572917 | − | 0.0245016i | ||||
\(955\) | 48.9261 | − | 39.0173i | 1.58321 | − | 1.26257i | ||||
\(956\) | 7.36961 | + | 48.8941i | 0.238350 | + | 1.58135i | ||||
\(957\) | 23.8057 | − | 46.7332i | 0.769529 | − | 1.51067i | ||||
\(958\) | 54.1072 | + | 58.3137i | 1.74812 | + | 1.88403i | ||||
\(959\) | −5.46659 | − | 0.562052i | −0.176526 | − | 0.0181496i | ||||
\(960\) | −48.9728 | + | 37.2959i | −1.58059 | + | 1.20372i | ||||
\(961\) | −3.57671 | + | 6.19504i | −0.115378 | + | 0.199840i | ||||
\(962\) | 0.521261 | 0.0168061 | ||||||||
\(963\) | −35.8842 | + | 18.6327i | −1.15635 | + | 0.600431i | ||||
\(964\) | −31.2339 | − | 64.8578i | −1.00598 | − | 2.08893i | ||||
\(965\) | −24.4945 | + | 3.69195i | −0.788506 | + | 0.118848i | ||||
\(966\) | 75.7144 | + | 48.9151i | 2.43607 | + | 1.57382i | ||||
\(967\) | 42.1963 | + | 6.36007i | 1.35694 | + | 0.204526i | 0.786895 | − | 0.617087i | \(-0.211687\pi\) |
0.570046 | + | 0.821613i | \(0.306925\pi\) | |||||||
\(968\) | −0.709968 | − | 2.30166i | −0.0228192 | − | 0.0739781i | ||||
\(969\) | −14.1713 | − | 4.72040i | −0.455248 | − | 0.151641i | ||||
\(970\) | 3.09808 | − | 41.3410i | 0.0994733 | − | 1.32738i | ||||
\(971\) | −36.2881 | − | 45.5039i | −1.16454 | − | 1.46029i | −0.861823 | − | 0.507209i | \(-0.830677\pi\) |
−0.302719 | − | 0.953080i | \(-0.597894\pi\) | |||||||
\(972\) | 52.3192 | − | 14.0478i | 1.67814 | − | 0.450583i | ||||
\(973\) | 11.6473 | − | 0.549506i | 0.373396 | − | 0.0176163i | ||||
\(974\) | −79.5244 | − | 5.95953i | −2.54813 | − | 0.190956i | ||||
\(975\) | −3.08692 | + | 31.6791i | −0.0988607 | + | 1.01454i | ||||
\(976\) | −0.768329 | − | 0.828062i | −0.0245936 | − | 0.0265056i | ||||
\(977\) | 15.4107 | − | 1.15487i | 0.493032 | − | 0.0369476i | 0.174105 | − | 0.984727i | \(-0.444297\pi\) |
0.318927 | + | 0.947779i | \(0.396678\pi\) | |||||||
\(978\) | −53.1564 | + | 47.1568i | −1.69975 | + | 1.50791i | ||||
\(979\) | −33.1837 | − | 19.1586i | −1.06056 | − | 0.612313i | ||||
\(980\) | 49.0468 | + | 50.8361i | 1.56674 | + | 1.62390i | ||||
\(981\) | 14.2329 | − | 12.0694i | 0.454423 | − | 0.385345i | ||||
\(982\) | −20.3247 | + | 25.4863i | −0.648586 | + | 0.813301i | ||||
\(983\) | −20.7900 | + | 14.1744i | −0.663098 | + | 0.452093i | −0.847526 | − | 0.530753i | \(-0.821909\pi\) |
0.184428 | + | 0.982846i | \(0.440957\pi\) | |||||||
\(984\) | 50.2075 | + | 25.5755i | 1.60056 | + | 0.815317i | ||||
\(985\) | 51.2798 | − | 3.84289i | 1.63391 | − | 0.122445i | ||||
\(986\) | 46.0460 | + | 31.3936i | 1.46640 | + | 0.999777i | ||||
\(987\) | 5.06292 | + | 19.8939i | 0.161155 | + | 0.633228i | ||||
\(988\) | −49.2806 | + | 33.5989i | −1.56782 | + | 1.06892i | ||||
\(989\) | 33.6941 | − | 26.8701i | 1.07141 | − | 0.854420i | ||||
\(990\) | −40.9909 | − | 56.3946i | −1.30278 | − | 1.79234i | ||||
\(991\) | −29.4056 | + | 36.8735i | −0.934100 | + | 1.17132i | 0.0508883 | + | 0.998704i | \(0.483795\pi\) |
−0.984988 | + | 0.172620i | \(0.944777\pi\) | |||||||
\(992\) | 15.2775 | + | 14.1754i | 0.485060 | + | 0.450070i | ||||
\(993\) | 26.4561 | + | 29.8220i | 0.839559 | + | 0.946372i | ||||
\(994\) | −57.7134 | + | 37.0530i | −1.83056 | + | 1.17525i | ||||
\(995\) | 40.2422 | + | 15.7939i | 1.27576 | + | 0.500700i | ||||
\(996\) | 2.04936 | − | 2.11205i | 0.0649366 | − | 0.0669230i | ||||
\(997\) | 21.4090 | − | 23.0734i | 0.678029 | − | 0.730741i | −0.296493 | − | 0.955035i | \(-0.595817\pi\) |
0.974522 | + | 0.224294i | \(0.0720075\pi\) | |||||||
\(998\) | − | 15.2795i | − | 0.483666i | ||||||
\(999\) | −0.106640 | + | 0.188073i | −0.00337393 | + | 0.00595038i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bh.a.398.48 | yes | 648 | |
9.5 | odd | 6 | inner | 441.2.bh.a.104.48 | yes | 648 | |
49.41 | odd | 14 | inner | 441.2.bh.a.335.48 | yes | 648 | |
441.41 | even | 42 | inner | 441.2.bh.a.41.48 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.41.48 | ✓ | 648 | 441.41 | even | 42 | inner | |
441.2.bh.a.104.48 | yes | 648 | 9.5 | odd | 6 | inner | |
441.2.bh.a.335.48 | yes | 648 | 49.41 | odd | 14 | inner | |
441.2.bh.a.398.48 | yes | 648 | 1.1 | even | 1 | trivial |