Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(125,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bo (of order \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(124\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 125.3 | ||
Character | \(\chi\) | \(=\) | 672.125 |
Dual form | 672.2.bo.a.629.3 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40652 | − | 0.147357i | −0.994557 | − | 0.104197i | ||||
\(3\) | −0.676569 | + | 1.59444i | −0.390617 | + | 0.920553i | ||||
\(4\) | 1.95657 | + | 0.414520i | 0.978286 | + | 0.207260i | ||||
\(5\) | 1.32184 | + | 3.19120i | 0.591144 | + | 1.42715i | 0.882399 | + | 0.470503i | \(0.155927\pi\) |
−0.291254 | + | 0.956646i | \(0.594073\pi\) | |||||||
\(6\) | 1.18656 | − | 2.14291i | 0.484410 | − | 0.874841i | ||||
\(7\) | −1.01750 | − | 2.44227i | −0.384579 | − | 0.923092i | ||||
\(8\) | −2.69087 | − | 0.871344i | −0.951365 | − | 0.308067i | ||||
\(9\) | −2.08451 | − | 2.15750i | −0.694836 | − | 0.719168i | ||||
\(10\) | −1.38894 | − | 4.68326i | −0.439221 | − | 1.48098i | ||||
\(11\) | 0.934109 | + | 2.25514i | 0.281644 | + | 0.679950i | 0.999874 | − | 0.0158562i | \(-0.00504739\pi\) |
−0.718230 | + | 0.695806i | \(0.755047\pi\) | |||||||
\(12\) | −1.98469 | + | 2.83919i | −0.572929 | + | 0.819605i | ||||
\(13\) | 6.23391 | + | 2.58217i | 1.72898 | + | 0.716166i | 0.999482 | + | 0.0321793i | \(0.0102447\pi\) |
0.729495 | + | 0.683986i | \(0.239755\pi\) | |||||||
\(14\) | 1.07125 | + | 3.58503i | 0.286302 | + | 0.958139i | ||||
\(15\) | −5.98251 | − | 0.0514692i | −1.54468 | − | 0.0132893i | ||||
\(16\) | 3.65635 | + | 1.62208i | 0.914087 | + | 0.405519i | ||||
\(17\) | 5.84303i | 1.41714i | 0.705639 | + | 0.708572i | \(0.250660\pi\) | ||||
−0.705639 | + | 0.708572i | \(0.749340\pi\) | |||||||
\(18\) | 2.61397 | + | 3.34173i | 0.616119 | + | 0.787653i | ||||
\(19\) | −1.55482 | − | 0.644029i | −0.356701 | − | 0.147750i | 0.197135 | − | 0.980376i | \(-0.436836\pi\) |
−0.553836 | + | 0.832626i | \(0.686836\pi\) | |||||||
\(20\) | 1.26346 | + | 6.79174i | 0.282517 | + | 1.51868i | ||||
\(21\) | 4.58248 | + | 0.0300163i | 0.999979 | + | 0.00655009i | ||||
\(22\) | −0.981528 | − | 3.30953i | −0.209262 | − | 0.705595i | ||||
\(23\) | 1.53658 | − | 1.53658i | 0.320398 | − | 0.320398i | −0.528522 | − | 0.848920i | \(-0.677253\pi\) |
0.848920 | + | 0.528522i | \(0.177253\pi\) | |||||||
\(24\) | 3.20987 | − | 3.70091i | 0.655211 | − | 0.755446i | ||||
\(25\) | −4.90097 | + | 4.90097i | −0.980194 | + | 0.980194i | ||||
\(26\) | −8.38760 | − | 4.55048i | −1.64494 | − | 0.892422i | ||||
\(27\) | 4.85034 | − | 1.86393i | 0.933448 | − | 0.358714i | ||||
\(28\) | −0.978443 | − | 5.20025i | −0.184908 | − | 0.982756i | ||||
\(29\) | −2.60392 | + | 6.28642i | −0.483536 | + | 1.16736i | 0.474382 | + | 0.880319i | \(0.342671\pi\) |
−0.957918 | + | 0.287041i | \(0.907329\pi\) | |||||||
\(30\) | 8.40691 | + | 0.953957i | 1.53488 | + | 0.174168i | ||||
\(31\) | 4.45356i | 0.799883i | 0.916541 | + | 0.399942i | \(0.130970\pi\) | ||||
−0.916541 | + | 0.399942i | \(0.869030\pi\) | |||||||
\(32\) | −4.90368 | − | 2.82026i | −0.866857 | − | 0.498557i | ||||
\(33\) | −4.22768 | − | 0.0363720i | −0.735945 | − | 0.00633155i | ||||
\(34\) | 0.861012 | − | 8.21832i | 0.147662 | − | 1.40943i | ||||
\(35\) | 6.44881 | − | 6.47534i | 1.09005 | − | 1.09453i | ||||
\(36\) | −3.18416 | − | 5.08538i | −0.530694 | − | 0.847564i | ||||
\(37\) | −2.65934 | − | 6.42021i | −0.437192 | − | 1.05548i | −0.976914 | − | 0.213632i | \(-0.931471\pi\) |
0.539722 | − | 0.841843i | \(-0.318529\pi\) | |||||||
\(38\) | 2.09198 | + | 1.13495i | 0.339364 | + | 0.184113i | ||||
\(39\) | −8.33481 | + | 8.19261i | −1.33464 | + | 1.31187i | ||||
\(40\) | −0.776258 | − | 9.73887i | −0.122737 | − | 1.53985i | ||||
\(41\) | −5.33031 | − | 5.33031i | −0.832455 | − | 0.832455i | 0.155397 | − | 0.987852i | \(-0.450334\pi\) |
−0.987852 | + | 0.155397i | \(0.950334\pi\) | |||||||
\(42\) | −6.44090 | − | 0.717479i | −0.993853 | − | 0.110709i | ||||
\(43\) | −1.19034 | + | 0.493056i | −0.181526 | + | 0.0751903i | −0.471595 | − | 0.881815i | \(-0.656322\pi\) |
0.290069 | + | 0.957006i | \(0.406322\pi\) | |||||||
\(44\) | 0.892851 | + | 4.79955i | 0.134602 | + | 0.723559i | ||||
\(45\) | 4.12965 | − | 9.50396i | 0.615611 | − | 1.41677i | ||||
\(46\) | −2.38764 | + | 1.93479i | −0.352039 | + | 0.285270i | ||||
\(47\) | − | 8.51373i | − | 1.24186i | −0.783868 | − | 0.620928i | \(-0.786756\pi\) | ||
0.783868 | − | 0.620928i | \(-0.213244\pi\) | |||||||
\(48\) | −5.06008 | + | 4.73239i | −0.730360 | + | 0.683062i | ||||
\(49\) | −4.92938 | + | 4.97003i | −0.704198 | + | 0.710004i | ||||
\(50\) | 7.61548 | − | 6.17110i | 1.07699 | − | 0.872725i | ||||
\(51\) | −9.31639 | − | 3.95322i | −1.30456 | − | 0.553561i | ||||
\(52\) | 11.1267 | + | 7.63629i | 1.54300 | + | 1.05896i | ||||
\(53\) | −0.540062 | − | 1.30382i | −0.0741832 | − | 0.179094i | 0.882438 | − | 0.470429i | \(-0.155901\pi\) |
−0.956621 | + | 0.291335i | \(0.905901\pi\) | |||||||
\(54\) | −7.09674 | + | 1.90692i | −0.965743 | + | 0.259499i | ||||
\(55\) | −5.96186 | + | 5.96186i | −0.803897 | + | 0.803897i | ||||
\(56\) | 0.609901 | + | 7.45842i | 0.0815014 | + | 0.996673i | ||||
\(57\) | 2.07881 | − | 2.04335i | 0.275346 | − | 0.270648i | ||||
\(58\) | 4.58881 | − | 8.45825i | 0.602540 | − | 1.11062i | ||||
\(59\) | 2.84358 | + | 6.86502i | 0.370203 | + | 0.893750i | 0.993715 | + | 0.111936i | \(0.0357052\pi\) |
−0.623512 | + | 0.781814i | \(0.714295\pi\) | |||||||
\(60\) | −11.6839 | − | 2.58057i | −1.50838 | − | 0.333151i | ||||
\(61\) | −3.81261 | + | 9.20445i | −0.488155 | + | 1.17851i | 0.467493 | + | 0.883997i | \(0.345157\pi\) |
−0.955648 | + | 0.294513i | \(0.904843\pi\) | |||||||
\(62\) | 0.656264 | − | 6.26400i | 0.0833456 | − | 0.795529i | ||||
\(63\) | −3.14822 | + | 7.28620i | −0.396639 | + | 0.917975i | ||||
\(64\) | 6.48152 | + | 4.68934i | 0.810190 | + | 0.586167i | ||||
\(65\) | 23.3069i | 2.89086i | ||||||||
\(66\) | 5.94094 | + | 0.674137i | 0.731279 | + | 0.0829805i | ||||
\(67\) | −3.08997 | − | 1.27991i | −0.377500 | − | 0.156365i | 0.185862 | − | 0.982576i | \(-0.440492\pi\) |
−0.563362 | + | 0.826210i | \(0.690492\pi\) | |||||||
\(68\) | −2.42205 | + | 11.4323i | −0.293717 | + | 1.38637i | ||||
\(69\) | 1.41039 | + | 3.48958i | 0.169790 | + | 0.420097i | ||||
\(70\) | −10.0245 | + | 8.15739i | −1.19816 | + | 0.974994i | ||||
\(71\) | −5.53156 | − | 5.53156i | −0.656476 | − | 0.656476i | 0.298069 | − | 0.954544i | \(-0.403658\pi\) |
−0.954544 | + | 0.298069i | \(0.903658\pi\) | |||||||
\(72\) | 3.72920 | + | 7.62188i | 0.439491 | + | 0.898247i | ||||
\(73\) | 6.50929 | − | 6.50929i | 0.761855 | − | 0.761855i | −0.214802 | − | 0.976658i | \(-0.568911\pi\) |
0.976658 | + | 0.214802i | \(0.0689107\pi\) | |||||||
\(74\) | 2.79434 | + | 9.42199i | 0.324835 | + | 1.09528i | ||||
\(75\) | −4.49848 | − | 11.1302i | −0.519440 | − | 1.28520i | ||||
\(76\) | −2.77516 | − | 1.90460i | −0.318333 | − | 0.218472i | ||||
\(77\) | 4.55720 | − | 4.57595i | 0.519342 | − | 0.521478i | ||||
\(78\) | 12.9303 | − | 10.2948i | 1.46407 | − | 1.16566i | ||||
\(79\) | 4.06160i | 0.456965i | 0.973548 | + | 0.228483i | \(0.0733764\pi\) | ||||
−0.973548 | + | 0.228483i | \(0.926624\pi\) | |||||||
\(80\) | −0.343273 | + | 13.8123i | −0.0383791 | + | 1.54426i | ||||
\(81\) | −0.309650 | + | 8.99467i | −0.0344055 | + | 0.999408i | ||||
\(82\) | 6.71171 | + | 8.28263i | 0.741184 | + | 0.914663i | ||||
\(83\) | −1.03568 | + | 2.50036i | −0.113681 | + | 0.274450i | −0.970472 | − | 0.241213i | \(-0.922455\pi\) |
0.856791 | + | 0.515664i | \(0.172455\pi\) | |||||||
\(84\) | 8.95350 | + | 1.95826i | 0.976907 | + | 0.213663i | ||||
\(85\) | −18.6463 | + | 7.72355i | −2.02247 | + | 0.837736i | ||||
\(86\) | 1.74689 | − | 0.518085i | 0.188372 | − | 0.0558666i | ||||
\(87\) | −8.26162 | − | 8.40501i | −0.885739 | − | 0.901112i | ||||
\(88\) | −0.548561 | − | 6.88220i | −0.0584768 | − | 0.733645i | ||||
\(89\) | −1.72661 | + | 1.72661i | −0.183020 | + | 0.183020i | −0.792670 | − | 0.609650i | \(-0.791310\pi\) |
0.609650 | + | 0.792670i | \(0.291310\pi\) | |||||||
\(90\) | −7.20889 | + | 12.7589i | −0.759883 | + | 1.34491i | ||||
\(91\) | −0.0366496 | − | 17.8523i | −0.00384192 | − | 1.87143i | ||||
\(92\) | 3.64336 | − | 2.36948i | 0.379847 | − | 0.247035i | ||||
\(93\) | −7.10096 | − | 3.01314i | −0.736335 | − | 0.312448i | ||||
\(94\) | −1.25456 | + | 11.9747i | −0.129398 | + | 1.23510i | ||||
\(95\) | − | 5.81306i | − | 0.596407i | ||||||
\(96\) | 7.81444 | − | 5.91055i | 0.797558 | − | 0.603243i | ||||
\(97\) | − | 0.141625i | − | 0.0143799i | −0.999974 | − | 0.00718994i | \(-0.997711\pi\) | ||
0.999974 | − | 0.00718994i | \(-0.00228865\pi\) | |||||||
\(98\) | 7.66562 | − | 6.26404i | 0.774345 | − | 0.632764i | ||||
\(99\) | 2.91831 | − | 6.71620i | 0.293301 | − | 0.675003i | ||||
\(100\) | −11.6207 | + | 7.55755i | −1.16207 | + | 0.755755i | ||||
\(101\) | 3.50013 | + | 8.45006i | 0.348276 | + | 0.840812i | 0.996824 | + | 0.0796383i | \(0.0253765\pi\) |
−0.648548 | + | 0.761174i | \(0.724623\pi\) | |||||||
\(102\) | 12.5211 | + | 6.93310i | 1.23978 | + | 0.686479i | ||||
\(103\) | 1.95212 | + | 1.95212i | 0.192348 | + | 0.192348i | 0.796710 | − | 0.604362i | \(-0.206572\pi\) |
−0.604362 | + | 0.796710i | \(0.706572\pi\) | |||||||
\(104\) | −14.5247 | − | 12.3802i | −1.42426 | − | 1.21397i | ||||
\(105\) | 5.96151 | + | 14.6633i | 0.581784 | + | 1.43099i | ||||
\(106\) | 0.567477 | + | 1.91343i | 0.0551183 | + | 0.185849i | ||||
\(107\) | −1.33802 | − | 3.23026i | −0.129351 | − | 0.312281i | 0.845914 | − | 0.533319i | \(-0.179055\pi\) |
−0.975265 | + | 0.221038i | \(0.929055\pi\) | |||||||
\(108\) | 10.2627 | − | 1.63636i | 0.987526 | − | 0.157458i | ||||
\(109\) | 0.894822 | − | 2.16029i | 0.0857084 | − | 0.206918i | −0.875214 | − | 0.483736i | \(-0.839280\pi\) |
0.960923 | + | 0.276817i | \(0.0892797\pi\) | |||||||
\(110\) | 9.26397 | − | 7.50692i | 0.883285 | − | 0.715757i | ||||
\(111\) | 12.0359 | + | 0.103548i | 1.14240 | + | 0.00982836i | ||||
\(112\) | 0.241216 | − | 10.5803i | 0.0227928 | − | 0.999740i | ||||
\(113\) | 4.73016 | 0.444976 | 0.222488 | − | 0.974935i | \(-0.428582\pi\) | ||||
0.222488 | + | 0.974935i | \(0.428582\pi\) | |||||||
\(114\) | −3.22499 | + | 2.56768i | −0.302048 | + | 0.240485i | ||||
\(115\) | 6.93463 | + | 2.87242i | 0.646657 | + | 0.267854i | ||||
\(116\) | −7.70061 | + | 11.2205i | −0.714984 | + | 1.04179i | ||||
\(117\) | −7.42360 | − | 18.8323i | −0.686312 | − | 1.74104i | ||||
\(118\) | −2.98794 | − | 10.0748i | −0.275062 | − | 0.927459i | ||||
\(119\) | 14.2703 | − | 5.94529i | 1.30815 | − | 0.545004i | ||||
\(120\) | 16.0533 | + | 5.35132i | 1.46546 | + | 0.488506i | ||||
\(121\) | 3.56509 | − | 3.56509i | 0.324099 | − | 0.324099i | ||||
\(122\) | 6.71884 | − | 12.3844i | 0.608295 | − | 1.12123i | ||||
\(123\) | 12.1052 | − | 4.89256i | 1.09149 | − | 0.441148i | ||||
\(124\) | −1.84609 | + | 8.71371i | −0.165784 | + | 0.782514i | ||||
\(125\) | −6.16227 | − | 2.55249i | −0.551170 | − | 0.228302i | ||||
\(126\) | 5.50170 | − | 9.78424i | 0.490130 | − | 0.871649i | ||||
\(127\) | −7.19265 | −0.638245 | −0.319122 | − | 0.947714i | \(-0.603388\pi\) | ||||
−0.319122 | + | 0.947714i | \(0.603388\pi\) | |||||||
\(128\) | −8.42535 | − | 7.55073i | −0.744703 | − | 0.667396i | ||||
\(129\) | 0.0191984 | − | 2.23152i | 0.00169033 | − | 0.196475i | ||||
\(130\) | 3.43444 | − | 32.7815i | 0.301220 | − | 2.87513i | ||||
\(131\) | −12.0622 | − | 4.99634i | −1.05388 | − | 0.436532i | −0.212606 | − | 0.977138i | \(-0.568195\pi\) |
−0.841276 | + | 0.540606i | \(0.818195\pi\) | |||||||
\(132\) | −8.25669 | − | 1.82362i | −0.718652 | − | 0.158726i | ||||
\(133\) | 0.00914091 | + | 4.45260i | 0.000792617 | + | 0.386090i | ||||
\(134\) | 4.15748 | + | 2.25554i | 0.359152 | + | 0.194849i | ||||
\(135\) | 12.3595 | + | 13.0146i | 1.06374 | + | 1.12012i | ||||
\(136\) | 5.09129 | − | 15.7228i | 0.436575 | − | 1.34822i | ||||
\(137\) | 14.6624 | − | 14.6624i | 1.25269 | − | 1.25269i | 0.298183 | − | 0.954509i | \(-0.403619\pi\) |
0.954509 | − | 0.298183i | \(-0.0963807\pi\) | |||||||
\(138\) | −1.46951 | − | 5.11599i | −0.125093 | − | 0.435502i | ||||
\(139\) | −3.03305 | − | 7.32244i | −0.257260 | − | 0.621081i | 0.741495 | − | 0.670958i | \(-0.234117\pi\) |
−0.998755 | + | 0.0498771i | \(0.984117\pi\) | |||||||
\(140\) | 15.3017 | − | 9.99631i | 1.29323 | − | 0.844842i | ||||
\(141\) | 13.5747 | + | 5.76013i | 1.14319 | + | 0.485090i | ||||
\(142\) | 6.96511 | + | 8.59534i | 0.584499 | + | 0.721305i | ||||
\(143\) | 16.4704i | 1.37732i | ||||||||
\(144\) | −4.12205 | − | 11.2698i | −0.343504 | − | 0.939151i | ||||
\(145\) | −23.5032 | −1.95183 | ||||||||
\(146\) | −10.1146 | + | 8.19623i | −0.837091 | + | 0.678325i | ||||
\(147\) | −4.58937 | − | 11.2222i | −0.378525 | − | 0.925591i | ||||
\(148\) | −2.54188 | − | 13.6639i | −0.208941 | − | 1.12317i | ||||
\(149\) | 0.163403 | + | 0.394491i | 0.0133865 | + | 0.0323180i | 0.930431 | − | 0.366466i | \(-0.119432\pi\) |
−0.917045 | + | 0.398784i | \(0.869432\pi\) | |||||||
\(150\) | 4.68707 | + | 16.3176i | 0.382698 | + | 1.33233i | ||||
\(151\) | 13.6089 | + | 13.6089i | 1.10748 | + | 1.10748i | 0.993481 | + | 0.113995i | \(0.0363647\pi\) |
0.113995 | + | 0.993481i | \(0.463635\pi\) | |||||||
\(152\) | 3.62265 | + | 3.08778i | 0.293836 | + | 0.250452i | ||||
\(153\) | 12.6064 | − | 12.1799i | 1.01916 | − | 0.984683i | ||||
\(154\) | −7.08408 | + | 5.76461i | −0.570851 | + | 0.464526i | ||||
\(155\) | −14.2122 | + | 5.88689i | −1.14155 | + | 0.472846i | ||||
\(156\) | −19.7036 | + | 12.5745i | −1.57755 | + | 1.00677i | ||||
\(157\) | −4.22676 | + | 10.2043i | −0.337332 | + | 0.814393i | 0.660637 | + | 0.750705i | \(0.270286\pi\) |
−0.997970 | + | 0.0636874i | \(0.979714\pi\) | |||||||
\(158\) | 0.598505 | − | 5.71270i | 0.0476145 | − | 0.454478i | ||||
\(159\) | 2.44426 | + | 0.0210287i | 0.193843 | + | 0.00166768i | ||||
\(160\) | 2.51815 | − | 19.3766i | 0.199078 | − | 1.53185i | ||||
\(161\) | −5.31620 | − | 2.18927i | −0.418976 | − | 0.172538i | ||||
\(162\) | 1.76096 | − | 12.6055i | 0.138354 | − | 0.990383i | ||||
\(163\) | 19.7942 | + | 8.19902i | 1.55040 | + | 0.642197i | 0.983389 | − | 0.181513i | \(-0.0580995\pi\) |
0.567012 | + | 0.823710i | \(0.308099\pi\) | |||||||
\(164\) | −8.21962 | − | 12.6387i | −0.641844 | − | 0.986913i | ||||
\(165\) | −5.47224 | − | 13.5395i | −0.426014 | − | 1.05405i | ||||
\(166\) | 1.82515 | − | 3.36418i | 0.141659 | − | 0.261111i | ||||
\(167\) | −9.16515 | + | 9.16515i | −0.709220 | + | 0.709220i | −0.966371 | − | 0.257151i | \(-0.917216\pi\) |
0.257151 | + | 0.966371i | \(0.417216\pi\) | |||||||
\(168\) | −12.3047 | − | 4.07368i | −0.949327 | − | 0.314291i | ||||
\(169\) | 23.0017 | + | 23.0017i | 1.76936 | + | 1.76936i | ||||
\(170\) | 27.3644 | − | 8.11562i | 2.09875 | − | 0.622440i | ||||
\(171\) | 1.85155 | + | 4.69702i | 0.141591 | + | 0.359190i | ||||
\(172\) | −2.53337 | + | 0.471279i | −0.193168 | + | 0.0359346i | ||||
\(173\) | −2.98589 | + | 7.20858i | −0.227013 | + | 0.548059i | −0.995811 | − | 0.0914333i | \(-0.970855\pi\) |
0.768798 | + | 0.639492i | \(0.220855\pi\) | |||||||
\(174\) | 10.3816 | + | 13.0392i | 0.787024 | + | 0.988498i | ||||
\(175\) | 16.9562 | + | 6.98276i | 1.28177 | + | 0.527847i | ||||
\(176\) | −0.242582 | + | 9.76076i | −0.0182853 | + | 0.735745i | ||||
\(177\) | −12.8698 | − | 0.110722i | −0.967352 | − | 0.00832240i | ||||
\(178\) | 2.68293 | − | 2.17407i | 0.201094 | − | 0.162953i | ||||
\(179\) | 11.4577 | + | 4.74595i | 0.856392 | + | 0.354729i | 0.767295 | − | 0.641294i | \(-0.221602\pi\) |
0.0890964 | + | 0.996023i | \(0.471602\pi\) | |||||||
\(180\) | 12.0195 | − | 16.8834i | 0.895883 | − | 1.25841i | ||||
\(181\) | 7.39199 | + | 17.8459i | 0.549443 | + | 1.32647i | 0.917894 | + | 0.396825i | \(0.129888\pi\) |
−0.368452 | + | 0.929647i | \(0.620112\pi\) | |||||||
\(182\) | −2.57911 | + | 25.1149i | −0.191176 | + | 1.86164i | ||||
\(183\) | −12.0965 | − | 12.3064i | −0.894199 | − | 0.909719i | ||||
\(184\) | −5.47361 | + | 2.79583i | −0.403520 | + | 0.206112i | ||||
\(185\) | 16.9730 | − | 16.9730i | 1.24788 | − | 1.24788i | ||||
\(186\) | 9.54360 | + | 5.28441i | 0.699771 | + | 0.387472i | ||||
\(187\) | −13.1768 | + | 5.45803i | −0.963586 | + | 0.399131i | ||||
\(188\) | 3.52911 | − | 16.6577i | 0.257387 | − | 1.21489i | ||||
\(189\) | −9.48745 | − | 9.94928i | −0.690111 | − | 0.723704i | ||||
\(190\) | −0.856595 | + | 8.17616i | −0.0621440 | + | 0.593161i | ||||
\(191\) | − | 22.6638i | − | 1.63989i | −0.572439 | − | 0.819947i | \(-0.694003\pi\) | ||
0.572439 | − | 0.819947i | \(-0.305997\pi\) | |||||||
\(192\) | −11.8621 | + | 7.16176i | −0.856072 | + | 0.516856i | ||||
\(193\) | 5.84063 | 0.420417 | 0.210209 | − | 0.977657i | \(-0.432586\pi\) | ||||
0.210209 | + | 0.977657i | \(0.432586\pi\) | |||||||
\(194\) | −0.0208695 | + | 0.199198i | −0.00149834 | + | 0.0143016i | ||||
\(195\) | −37.1615 | − | 15.7687i | −2.66119 | − | 1.12922i | ||||
\(196\) | −11.7049 | + | 7.68089i | −0.836062 | + | 0.548635i | ||||
\(197\) | −6.60728 | + | 2.73683i | −0.470749 | + | 0.194991i | −0.605430 | − | 0.795898i | \(-0.706999\pi\) |
0.134681 | + | 0.990889i | \(0.456999\pi\) | |||||||
\(198\) | −5.09433 | + | 9.01640i | −0.362038 | + | 0.640768i | ||||
\(199\) | −0.622396 | − | 0.622396i | −0.0441205 | − | 0.0441205i | 0.684702 | − | 0.728823i | \(-0.259932\pi\) |
−0.728823 | + | 0.684702i | \(0.759932\pi\) | |||||||
\(200\) | 17.4583 | − | 8.91742i | 1.23449 | − | 0.630557i | ||||
\(201\) | 4.13132 | − | 4.06084i | 0.291401 | − | 0.286429i | ||||
\(202\) | −3.67781 | − | 12.4009i | −0.258770 | − | 0.872524i | ||||
\(203\) | 18.0026 | − | 0.0369583i | 1.26354 | − | 0.00259396i | ||||
\(204\) | −16.5895 | − | 11.5966i | −1.16150 | − | 0.811923i | ||||
\(205\) | 9.96428 | − | 24.0559i | 0.695936 | − | 1.68014i | ||||
\(206\) | −2.45802 | − | 3.03334i | −0.171259 | − | 0.211343i | ||||
\(207\) | −6.51817 | − | 0.112164i | −0.453044 | − | 0.00779592i | ||||
\(208\) | 18.6049 | + | 19.5532i | 1.29002 | + | 1.35577i | ||||
\(209\) | − | 4.10794i | − | 0.284152i | ||||||
\(210\) | −6.22421 | − | 21.5026i | −0.429512 | − | 1.48382i | ||||
\(211\) | 6.90345 | − | 16.6664i | 0.475253 | − | 1.14736i | −0.486558 | − | 0.873648i | \(-0.661748\pi\) |
0.961811 | − | 0.273714i | \(-0.0882522\pi\) | |||||||
\(212\) | −0.516208 | − | 2.77489i | −0.0354533 | − | 0.190580i | ||||
\(213\) | 12.5623 | − | 5.07729i | 0.860751 | − | 0.347890i | ||||
\(214\) | 1.40594 | + | 4.74057i | 0.0961081 | + | 0.324059i | ||||
\(215\) | −3.14688 | − | 3.14688i | −0.214616 | − | 0.214616i | ||||
\(216\) | −14.6757 | + | 0.789283i | −0.998557 | + | 0.0537039i | ||||
\(217\) | 10.8768 | − | 4.53150i | 0.738366 | − | 0.307618i | ||||
\(218\) | −1.57692 | + | 2.90662i | −0.106802 | + | 0.196861i | ||||
\(219\) | 5.97472 | + | 14.7827i | 0.403734 | + | 0.998922i | ||||
\(220\) | −14.1361 | + | 9.19349i | −0.953056 | + | 0.619825i | ||||
\(221\) | −15.0877 | + | 36.4250i | −1.01491 | + | 2.45021i | ||||
\(222\) | −16.9134 | − | 1.91922i | −1.13515 | − | 0.128809i | ||||
\(223\) | 20.8927i | 1.39908i | 0.714593 | + | 0.699540i | \(0.246612\pi\) | ||||
−0.714593 | + | 0.699540i | \(0.753388\pi\) | |||||||
\(224\) | −1.89835 | + | 14.8457i | −0.126839 | + | 0.991923i | ||||
\(225\) | 20.7900 | + | 0.357751i | 1.38600 | + | 0.0238500i | ||||
\(226\) | −6.65305 | − | 0.697023i | −0.442554 | − | 0.0463653i | ||||
\(227\) | 1.03981 | + | 0.430703i | 0.0690145 | + | 0.0285868i | 0.416924 | − | 0.908941i | \(-0.363108\pi\) |
−0.347909 | + | 0.937528i | \(0.613108\pi\) | |||||||
\(228\) | 4.91436 | − | 3.13625i | 0.325461 | − | 0.207703i | ||||
\(229\) | 18.5599 | − | 7.68778i | 1.22648 | − | 0.508023i | 0.327013 | − | 0.945020i | \(-0.393958\pi\) |
0.899463 | + | 0.436997i | \(0.143958\pi\) | |||||||
\(230\) | −9.33039 | − | 5.06196i | −0.615228 | − | 0.333776i | ||||
\(231\) | 4.21284 | + | 10.3622i | 0.277185 | + | 0.681780i | ||||
\(232\) | 12.4844 | − | 14.6470i | 0.819644 | − | 0.961624i | ||||
\(233\) | 11.9458 | − | 11.9458i | 0.782592 | − | 0.782592i | −0.197675 | − | 0.980268i | \(-0.563339\pi\) |
0.980268 | + | 0.197675i | \(0.0633392\pi\) | |||||||
\(234\) | 7.66634 | + | 27.5818i | 0.501164 | + | 1.80308i | ||||
\(235\) | 27.1690 | − | 11.2538i | 1.77231 | − | 0.734116i | ||||
\(236\) | 2.71799 | + | 14.6106i | 0.176926 | + | 0.951071i | ||||
\(237\) | −6.47599 | − | 2.74795i | −0.420661 | − | 0.178499i | ||||
\(238\) | −20.9474 | + | 6.25932i | −1.35782 | + | 0.405731i | ||||
\(239\) | −12.0001 | −0.776223 | −0.388111 | − | 0.921612i | \(-0.626872\pi\) | ||||
−0.388111 | + | 0.921612i | \(0.626872\pi\) | |||||||
\(240\) | −21.7906 | − | 9.89228i | −1.40658 | − | 0.638544i | ||||
\(241\) | 19.7131 | 1.26983 | 0.634917 | − | 0.772580i | \(-0.281034\pi\) | ||||
0.634917 | + | 0.772580i | \(0.281034\pi\) | |||||||
\(242\) | −5.53969 | + | 4.48901i | −0.356105 | + | 0.288564i | ||||
\(243\) | −14.1320 | − | 6.57924i | −0.906569 | − | 0.422058i | ||||
\(244\) | −11.2751 | + | 16.4288i | −0.721813 | + | 1.05174i | ||||
\(245\) | −22.3762 | − | 9.16107i | −1.42956 | − | 0.585280i | ||||
\(246\) | −17.7471 | + | 5.09768i | −1.13152 | + | 0.325016i | ||||
\(247\) | −8.02965 | − | 8.02965i | −0.510914 | − | 0.510914i | ||||
\(248\) | 3.88058 | − | 11.9839i | 0.246417 | − | 0.760981i | ||||
\(249\) | −3.28598 | − | 3.34301i | −0.208240 | − | 0.211855i | ||||
\(250\) | 8.29120 | + | 4.49818i | 0.524381 | + | 0.284490i | ||||
\(251\) | 1.77377 | + | 4.28226i | 0.111959 | + | 0.270294i | 0.969921 | − | 0.243420i | \(-0.0782693\pi\) |
−0.857962 | + | 0.513714i | \(0.828269\pi\) | |||||||
\(252\) | −9.18000 | + | 12.9510i | −0.578286 | + | 0.815834i | ||||
\(253\) | 4.90052 | + | 2.02986i | 0.308093 | + | 0.127616i | ||||
\(254\) | 10.1166 | + | 1.05989i | 0.634771 | + | 0.0665033i | ||||
\(255\) | 0.300736 | − | 34.9560i | 0.0188328 | − | 2.18903i | ||||
\(256\) | 10.7377 | + | 11.8617i | 0.671108 | + | 0.741359i | ||||
\(257\) | 7.64748 | 0.477037 | 0.238518 | − | 0.971138i | \(-0.423338\pi\) | ||||
0.238518 | + | 0.971138i | \(0.423338\pi\) | |||||||
\(258\) | −0.355834 | + | 3.13584i | −0.0221532 | + | 0.195229i | ||||
\(259\) | −12.9740 | + | 13.0274i | −0.806166 | + | 0.809483i | ||||
\(260\) | −9.66117 | + | 45.6016i | −0.599161 | + | 2.82809i | ||||
\(261\) | 18.9909 | − | 7.48613i | 1.17551 | − | 0.463380i | ||||
\(262\) | 16.2295 | + | 8.80489i | 1.00266 | + | 0.543968i | ||||
\(263\) | −6.53300 | − | 6.53300i | −0.402842 | − | 0.402842i | 0.476391 | − | 0.879233i | \(-0.341945\pi\) |
−0.879233 | + | 0.476391i | \(0.841945\pi\) | |||||||
\(264\) | 11.3444 | + | 3.78164i | 0.698202 | + | 0.232744i | ||||
\(265\) | 3.44689 | − | 3.44689i | 0.211741 | − | 0.211741i | ||||
\(266\) | 0.643266 | − | 6.26400i | 0.0394412 | − | 0.384071i | ||||
\(267\) | −1.58481 | − | 3.92115i | −0.0969888 | − | 0.239970i | ||||
\(268\) | −5.51519 | − | 3.78508i | −0.336894 | − | 0.231211i | ||||
\(269\) | 2.89525 | − | 6.98976i | 0.176527 | − | 0.426173i | −0.810707 | − | 0.585452i | \(-0.800917\pi\) |
0.987234 | + | 0.159279i | \(0.0509169\pi\) | |||||||
\(270\) | −15.4661 | − | 20.1265i | −0.941237 | − | 1.22486i | ||||
\(271\) | −25.8028 | −1.56741 | −0.783705 | − | 0.621134i | \(-0.786672\pi\) | ||||
−0.783705 | + | 0.621134i | \(0.786672\pi\) | |||||||
\(272\) | −9.47785 | + | 21.3641i | −0.574679 | + | 1.29539i | ||||
\(273\) | 28.4893 | + | 12.0199i | 1.72425 | + | 0.727475i | ||||
\(274\) | −22.7835 | + | 18.4623i | −1.37640 | + | 1.11535i | ||||
\(275\) | −15.6304 | − | 6.47432i | −0.942549 | − | 0.390416i | ||||
\(276\) | 1.31302 | + | 7.41226i | 0.0790343 | + | 0.446165i | ||||
\(277\) | 14.3849 | − | 5.95842i | 0.864305 | − | 0.358007i | 0.0939153 | − | 0.995580i | \(-0.470062\pi\) |
0.770390 | + | 0.637573i | \(0.220062\pi\) | |||||||
\(278\) | 3.18702 | + | 10.7461i | 0.191145 | + | 0.644506i | ||||
\(279\) | 9.60858 | − | 9.28348i | 0.575250 | − | 0.555788i | ||||
\(280\) | −22.9951 | + | 11.8051i | −1.37422 | + | 0.705492i | ||||
\(281\) | 11.2092 | + | 11.2092i | 0.668687 | + | 0.668687i | 0.957412 | − | 0.288725i | \(-0.0932315\pi\) |
−0.288725 | + | 0.957412i | \(0.593231\pi\) | |||||||
\(282\) | −18.2442 | − | 10.1020i | −1.08643 | − | 0.601568i | ||||
\(283\) | 1.92051 | − | 0.795501i | 0.114162 | − | 0.0472876i | −0.324871 | − | 0.945758i | \(-0.605321\pi\) |
0.439034 | + | 0.898471i | \(0.355321\pi\) | |||||||
\(284\) | −8.52995 | − | 13.1158i | −0.506160 | − | 0.778282i | ||||
\(285\) | 9.26860 | + | 3.93294i | 0.549024 | + | 0.232967i | ||||
\(286\) | 2.42703 | − | 23.1658i | 0.143513 | − | 1.36982i | ||||
\(287\) | −7.59447 | + | 18.4417i | −0.448287 | + | 1.08858i | ||||
\(288\) | 4.13703 | + | 16.4586i | 0.243777 | + | 0.969831i | ||||
\(289\) | −17.1410 | −1.00830 | ||||||||
\(290\) | 33.0576 | + | 3.46336i | 1.94121 | + | 0.203376i | ||||
\(291\) | 0.225814 | + | 0.0958194i | 0.0132374 | + | 0.00561703i | ||||
\(292\) | 15.4341 | − | 10.0377i | 0.903214 | − | 0.587410i | ||||
\(293\) | −8.52328 | − | 20.5770i | −0.497935 | − | 1.20212i | −0.950594 | − | 0.310438i | \(-0.899524\pi\) |
0.452658 | − | 0.891684i | \(-0.350476\pi\) | |||||||
\(294\) | 4.80135 | + | 16.4605i | 0.280020 | + | 0.959994i | ||||
\(295\) | −18.1489 | + | 18.1489i | −1.05667 | + | 1.05667i | ||||
\(296\) | 1.56171 | + | 19.5931i | 0.0907726 | + | 1.13883i | ||||
\(297\) | 8.73417 | + | 9.19706i | 0.506808 | + | 0.533668i | ||||
\(298\) | −0.171699 | − | 0.578936i | −0.00994623 | − | 0.0335369i | ||||
\(299\) | 13.5466 | − | 5.61118i | 0.783419 | − | 0.324503i | ||||
\(300\) | −4.18792 | − | 23.6417i | −0.241790 | − | 1.36495i | ||||
\(301\) | 2.41535 | + | 2.40545i | 0.139219 | + | 0.138648i | ||||
\(302\) | −17.1358 | − | 21.1465i | −0.986052 | − | 1.21684i | ||||
\(303\) | −15.8412 | − | 0.136287i | −0.910055 | − | 0.00782946i | ||||
\(304\) | −4.64031 | − | 4.87684i | −0.266140 | − | 0.279706i | ||||
\(305\) | −34.4129 | −1.97048 | ||||||||
\(306\) | −19.5258 | + | 15.2735i | −1.11622 | + | 0.873128i | ||||
\(307\) | 0.291062 | + | 0.120562i | 0.0166118 | + | 0.00688083i | 0.390974 | − | 0.920402i | \(-0.372138\pi\) |
−0.374362 | + | 0.927283i | \(0.622138\pi\) | |||||||
\(308\) | 10.8133 | − | 7.06413i | 0.616146 | − | 0.402516i | ||||
\(309\) | −4.43329 | + | 1.79180i | −0.252201 | + | 0.101932i | ||||
\(310\) | 20.8572 | − | 6.18573i | 1.18461 | − | 0.351326i | ||||
\(311\) | 18.1982 | + | 18.1982i | 1.03192 | + | 1.03192i | 0.999473 | + | 0.0324507i | \(0.0103312\pi\) |
0.0324507 | + | 0.999473i | \(0.489669\pi\) | |||||||
\(312\) | 29.5664 | − | 14.7827i | 1.67387 | − | 0.836908i | ||||
\(313\) | −1.44585 | − | 1.44585i | −0.0817245 | − | 0.0817245i | 0.665063 | − | 0.746787i | \(-0.268405\pi\) |
−0.746787 | + | 0.665063i | \(0.768405\pi\) | |||||||
\(314\) | 7.44869 | − | 13.7297i | 0.420354 | − | 0.774810i | ||||
\(315\) | −27.4132 | − | 0.415429i | −1.54456 | − | 0.0234068i | ||||
\(316\) | −1.68361 | + | 7.94681i | −0.0947107 | + | 0.447043i | ||||
\(317\) | 7.91660 | − | 19.1124i | 0.444640 | − | 1.07346i | −0.529661 | − | 0.848209i | \(-0.677681\pi\) |
0.974302 | − | 0.225248i | \(-0.0723191\pi\) | |||||||
\(318\) | −3.43480 | − | 0.389757i | −0.192614 | − | 0.0218565i | ||||
\(319\) | −16.6091 | −0.929931 | ||||||||
\(320\) | −6.39710 | + | 26.8824i | −0.357609 | + | 1.50277i | ||||
\(321\) | 6.05573 | + | 0.0520992i | 0.337998 | + | 0.00290789i | ||||
\(322\) | 7.15472 | + | 3.86262i | 0.398717 | + | 0.215255i | ||||
\(323\) | 3.76308 | − | 9.08489i | 0.209384 | − | 0.505497i | ||||
\(324\) | −4.33432 | + | 17.4704i | −0.240796 | + | 0.970576i | ||||
\(325\) | −43.2074 | + | 17.8971i | −2.39671 | + | 0.992751i | ||||
\(326\) | −26.6326 | − | 14.4489i | −1.47505 | − | 0.800248i | ||||
\(327\) | 2.83906 | + | 2.88833i | 0.157000 | + | 0.159725i | ||||
\(328\) | 9.69862 | + | 18.9877i | 0.535517 | + | 1.04842i | ||||
\(329\) | −20.7929 | + | 8.66273i | −1.14635 | + | 0.477592i | ||||
\(330\) | 5.70166 | + | 19.8498i | 0.313866 | + | 1.09270i | ||||
\(331\) | 1.35712 | − | 0.562136i | 0.0745938 | − | 0.0308978i | −0.345075 | − | 0.938575i | \(-0.612146\pi\) |
0.419668 | + | 0.907678i | \(0.362146\pi\) | |||||||
\(332\) | −3.06284 | + | 4.46283i | −0.168095 | + | 0.244929i | ||||
\(333\) | −8.30821 | + | 19.1205i | −0.455287 | + | 1.04780i | ||||
\(334\) | 14.2415 | − | 11.5404i | 0.779258 | − | 0.631461i | ||||
\(335\) | − | 11.5525i | − | 0.631182i | ||||||
\(336\) | 16.7064 | + | 7.54288i | 0.911411 | + | 0.411498i | ||||
\(337\) | − | 18.1860i | − | 0.990653i | −0.868707 | − | 0.495327i | \(-0.835048\pi\) | ||
0.868707 | − | 0.495327i | \(-0.164952\pi\) | |||||||
\(338\) | −28.9628 | − | 35.7417i | −1.57537 | − | 1.94409i | ||||
\(339\) | −3.20028 | + | 7.54198i | −0.173815 | + | 0.409624i | ||||
\(340\) | −39.6844 | + | 7.38241i | −2.15219 | + | 0.400367i | ||||
\(341\) | −10.0434 | + | 4.16011i | −0.543880 | + | 0.225283i | ||||
\(342\) | −1.91209 | − | 6.87928i | −0.103394 | − | 0.371989i | ||||
\(343\) | 17.1538 | + | 6.98188i | 0.926219 | + | 0.376986i | ||||
\(344\) | 3.63267 | − | 0.289550i | 0.195861 | − | 0.0156115i | ||||
\(345\) | −9.27166 | + | 9.11349i | −0.499170 | + | 0.490654i | ||||
\(346\) | 5.26194 | − | 9.69899i | 0.282884 | − | 0.521421i | ||||
\(347\) | 16.8768 | − | 6.99061i | 0.905995 | − | 0.375275i | 0.119473 | − | 0.992837i | \(-0.461880\pi\) |
0.786522 | + | 0.617562i | \(0.211880\pi\) | |||||||
\(348\) | −12.6804 | − | 19.8696i | −0.679741 | − | 1.06512i | ||||
\(349\) | 5.44280 | − | 13.1401i | 0.291346 | − | 0.703372i | −0.708651 | − | 0.705559i | \(-0.750696\pi\) |
0.999998 | + | 0.00218687i | \(0.000696104\pi\) | |||||||
\(350\) | −22.8203 | − | 12.3200i | −1.21979 | − | 0.658531i | ||||
\(351\) | 35.0496 | + | 0.904803i | 1.87081 | + | 0.0482948i | ||||
\(352\) | 1.77951 | − | 13.6929i | 0.0948484 | − | 0.729835i | ||||
\(353\) | 8.05008 | 0.428463 | 0.214231 | − | 0.976783i | \(-0.431275\pi\) | ||||
0.214231 | + | 0.976783i | \(0.431275\pi\) | |||||||
\(354\) | 18.0852 | + | 2.05219i | 0.961219 | + | 0.109072i | ||||
\(355\) | 10.3405 | − | 24.9642i | 0.548816 | − | 1.32496i | ||||
\(356\) | −4.09394 | + | 2.66252i | −0.216978 | + | 0.141113i | ||||
\(357\) | −0.175386 | + | 26.7756i | −0.00928242 | + | 1.41711i | ||||
\(358\) | −15.4161 | − | 8.36363i | −0.814768 | − | 0.442032i | ||||
\(359\) | 25.1289 | + | 25.1289i | 1.32625 | + | 1.32625i | 0.908612 | + | 0.417642i | \(0.137143\pi\) |
0.417642 | + | 0.908612i | \(0.362857\pi\) | |||||||
\(360\) | −19.3935 | + | 21.9755i | −1.02213 | + | 1.15821i | ||||
\(361\) | −11.4323 | − | 11.4323i | −0.601701 | − | 0.601701i | ||||
\(362\) | −7.76724 | − | 26.1897i | −0.408237 | − | 1.37650i | ||||
\(363\) | 3.27231 | + | 8.09636i | 0.171752 | + | 0.424949i | ||||
\(364\) | 7.32842 | − | 34.9445i | 0.384114 | − | 1.83159i | ||||
\(365\) | 29.3767 | + | 12.1682i | 1.53765 | + | 0.636914i | ||||
\(366\) | 15.2005 | + | 19.0917i | 0.794541 | + | 0.997940i | ||||
\(367\) | −14.5372 | −0.758838 | −0.379419 | − | 0.925225i | \(-0.623876\pi\) | ||||
−0.379419 | + | 0.925225i | \(0.623876\pi\) | |||||||
\(368\) | 8.11070 | − | 3.12581i | 0.422799 | − | 0.162944i | ||||
\(369\) | −0.389091 | + | 22.6112i | −0.0202553 | + | 1.17709i | ||||
\(370\) | −26.3738 | + | 21.3716i | −1.37111 | + | 1.11106i | ||||
\(371\) | −2.63478 | + | 2.64562i | −0.136791 | + | 0.137354i | ||||
\(372\) | −12.6445 | − | 8.83892i | −0.655588 | − | 0.458277i | ||||
\(373\) | 9.87235 | − | 4.08926i | 0.511171 | − | 0.211734i | −0.112163 | − | 0.993690i | \(-0.535778\pi\) |
0.623334 | + | 0.781956i | \(0.285778\pi\) | |||||||
\(374\) | 19.3377 | − | 5.73510i | 0.999929 | − | 0.296555i | ||||
\(375\) | 8.23901 | − | 8.09845i | 0.425461 | − | 0.418202i | ||||
\(376\) | −7.41839 | + | 22.9093i | −0.382574 | + | 1.18146i | ||||
\(377\) | −32.4653 | + | 32.4653i | −1.67205 | + | 1.67205i | ||||
\(378\) | 11.8782 | + | 15.3919i | 0.610946 | + | 0.791672i | ||||
\(379\) | −0.521108 | − | 1.25807i | −0.0267675 | − | 0.0646225i | 0.909931 | − | 0.414761i | \(-0.136135\pi\) |
−0.936698 | + | 0.350138i | \(0.886135\pi\) | |||||||
\(380\) | 2.40963 | − | 11.3737i | 0.123611 | − | 0.583457i | ||||
\(381\) | 4.86633 | − | 11.4683i | 0.249310 | − | 0.587538i | ||||
\(382\) | −3.33967 | + | 31.8770i | −0.170872 | + | 1.63097i | ||||
\(383\) | 27.2489 | 1.39235 | 0.696176 | − | 0.717871i | \(-0.254883\pi\) | ||||
0.696176 | + | 0.717871i | \(0.254883\pi\) | |||||||
\(384\) | 17.7395 | − | 8.32517i | 0.905268 | − | 0.424842i | ||||
\(385\) | 20.6267 | + | 8.49428i | 1.05123 | + | 0.432909i | ||||
\(386\) | −8.21493 | − | 0.860658i | −0.418129 | − | 0.0438063i | ||||
\(387\) | 3.54505 | + | 1.54039i | 0.180205 | + | 0.0783024i | ||||
\(388\) | 0.0587066 | − | 0.277100i | 0.00298038 | − | 0.0140676i | ||||
\(389\) | −29.5883 | + | 12.2559i | −1.50019 | + | 0.621397i | −0.973505 | − | 0.228666i | \(-0.926563\pi\) |
−0.526680 | + | 0.850063i | \(0.676563\pi\) | |||||||
\(390\) | 49.9447 | + | 27.6550i | 2.52905 | + | 1.40036i | ||||
\(391\) | 8.97826 | + | 8.97826i | 0.454050 | + | 0.454050i | ||||
\(392\) | 17.5949 | − | 9.07849i | 0.888677 | − | 0.458533i | ||||
\(393\) | 16.1273 | − | 15.8522i | 0.813516 | − | 0.799637i | ||||
\(394\) | 9.69653 | − | 2.87576i | 0.488504 | − | 0.144879i | ||||
\(395\) | −12.9614 | + | 5.36878i | −0.652157 | + | 0.270132i | ||||
\(396\) | 8.49389 | − | 11.9310i | 0.426834 | − | 0.599557i | ||||
\(397\) | −14.3326 | − | 5.93676i | −0.719333 | − | 0.297958i | −0.00717280 | − | 0.999974i | \(-0.502283\pi\) |
−0.712161 | + | 0.702017i | \(0.752283\pi\) | |||||||
\(398\) | 0.783695 | + | 0.967124i | 0.0392831 | + | 0.0484776i | ||||
\(399\) | −7.10561 | − | 2.99792i | −0.355726 | − | 0.150084i | ||||
\(400\) | −25.8694 | + | 9.96989i | −1.29347 | + | 0.498495i | ||||
\(401\) | 5.51540 | 0.275426 | 0.137713 | − | 0.990472i | \(-0.456025\pi\) | ||||
0.137713 | + | 0.990472i | \(0.456025\pi\) | |||||||
\(402\) | −6.40915 | + | 5.10285i | −0.319659 | + | 0.254507i | ||||
\(403\) | −11.4999 | + | 27.7631i | −0.572849 | + | 1.38298i | ||||
\(404\) | 3.34553 | + | 17.9840i | 0.166446 | + | 0.894738i | ||||
\(405\) | −29.1131 | + | 10.9013i | −1.44664 | + | 0.541692i | ||||
\(406\) | −25.3265 | − | 2.60084i | −1.25693 | − | 0.129077i | ||||
\(407\) | 11.9943 | − | 11.9943i | 0.594538 | − | 0.594538i | ||||
\(408\) | 21.6246 | + | 18.7554i | 1.07057 | + | 0.928528i | ||||
\(409\) | −12.6157 | − | 12.6157i | −0.623807 | − | 0.623807i | 0.322695 | − | 0.946503i | \(-0.395411\pi\) |
−0.946503 | + | 0.322695i | \(0.895411\pi\) | |||||||
\(410\) | −17.5597 | + | 32.3667i | −0.867213 | + | 1.59848i | ||||
\(411\) | 13.4582 | + | 33.2985i | 0.663846 | + | 1.64249i | ||||
\(412\) | 3.01027 | + | 4.62865i | 0.148305 | + | 0.228037i | ||||
\(413\) | 13.8729 | − | 13.9300i | 0.682641 | − | 0.685449i | ||||
\(414\) | 9.15138 | + | 1.11826i | 0.449766 | + | 0.0549594i | ||||
\(415\) | −9.34816 | −0.458883 | ||||||||
\(416\) | −23.2867 | − | 30.2434i | −1.14173 | − | 1.48281i | ||||
\(417\) | 13.7273 | + | 0.118100i | 0.672229 | + | 0.00578337i | ||||
\(418\) | −0.605334 | + | 5.77788i | −0.0296078 | + | 0.282605i | ||||
\(419\) | 32.4501 | + | 13.4413i | 1.58529 | + | 0.656650i | 0.989241 | − | 0.146297i | \(-0.0467354\pi\) |
0.596051 | + | 0.802946i | \(0.296735\pi\) | |||||||
\(420\) | 5.58589 | + | 31.1609i | 0.272564 | + | 1.52050i | ||||
\(421\) | −5.99689 | − | 14.4778i | −0.292271 | − | 0.705604i | 0.707729 | − | 0.706484i | \(-0.249720\pi\) |
−1.00000 | 0.000880407i | \(0.999720\pi\) | ||||||||
\(422\) | −12.1657 | + | 22.4243i | −0.592218 | + | 1.09160i | ||||
\(423\) | −18.3684 | + | 17.7469i | −0.893103 | + | 0.862886i | ||||
\(424\) | 0.317154 | + | 3.97899i | 0.0154024 | + | 0.193237i | ||||
\(425\) | −28.6365 | − | 28.6365i | −1.38908 | − | 1.38908i | ||||
\(426\) | −18.4172 | + | 5.29014i | −0.892315 | + | 0.256308i | ||||
\(427\) | 26.3591 | − | 0.0541136i | 1.27561 | − | 0.00261874i | ||||
\(428\) | −1.27892 | − | 6.87487i | −0.0618189 | − | 0.332309i | ||||
\(429\) | −26.2611 | − | 11.1433i | −1.26790 | − | 0.538006i | ||||
\(430\) | 3.96242 | + | 4.88985i | 0.191085 | + | 0.235810i | ||||
\(431\) | −22.3699 | −1.07752 | −0.538761 | − | 0.842459i | \(-0.681107\pi\) | ||||
−0.538761 | + | 0.842459i | \(0.681107\pi\) | |||||||
\(432\) | 20.7579 | + | 1.05243i | 0.998717 | + | 0.0506352i | ||||
\(433\) | 26.3881 | 1.26813 | 0.634065 | − | 0.773280i | \(-0.281385\pi\) | ||||
0.634065 | + | 0.773280i | \(0.281385\pi\) | |||||||
\(434\) | −15.9661 | + | 4.77085i | −0.766399 | + | 0.229008i | ||||
\(435\) | 15.9015 | − | 37.4746i | 0.762421 | − | 1.79677i | ||||
\(436\) | 2.64627 | − | 3.85584i | 0.126733 | − | 0.184661i | ||||
\(437\) | −3.37870 | + | 1.39951i | −0.161625 | + | 0.0669474i | ||||
\(438\) | −6.22520 | − | 21.6725i | −0.297452 | − | 1.03555i | ||||
\(439\) | −5.05535 | + | 5.05535i | −0.241279 | + | 0.241279i | −0.817379 | − | 0.576100i | \(-0.804574\pi\) |
0.576100 | + | 0.817379i | \(0.304574\pi\) | |||||||
\(440\) | 21.2374 | − | 10.8477i | 1.01245 | − | 0.517145i | ||||
\(441\) | 20.9982 | + | 0.275098i | 0.999914 | + | 0.0130999i | ||||
\(442\) | 26.5886 | − | 49.0090i | 1.26469 | − | 2.33112i | ||||
\(443\) | −11.7454 | + | 4.86509i | −0.558039 | + | 0.231147i | −0.643834 | − | 0.765166i | \(-0.722657\pi\) |
0.0857946 | + | 0.996313i | \(0.472657\pi\) | |||||||
\(444\) | 23.5062 | + | 5.19172i | 1.11555 | + | 0.246388i | ||||
\(445\) | −7.79224 | − | 3.22765i | −0.369388 | − | 0.153005i | ||||
\(446\) | 3.07869 | − | 29.3859i | 0.145780 | − | 1.39146i | ||||
\(447\) | −0.739548 | − | 0.00636254i | −0.0349794 | − | 0.000300938i | ||||
\(448\) | 4.85769 | − | 20.6010i | 0.229504 | − | 0.973308i | ||||
\(449\) | 0.278239i | 0.0131309i | 0.999978 | + | 0.00656547i | \(0.00208987\pi\) | ||||
−0.999978 | + | 0.00656547i | \(0.997910\pi\) | |||||||
\(450\) | −29.1887 | − | 3.56673i | −1.37597 | − | 0.168137i | ||||
\(451\) | 7.04150 | − | 16.9997i | 0.331571 | − | 0.800484i | ||||
\(452\) | 9.25490 | + | 1.96075i | 0.435314 | + | 0.0922258i | ||||
\(453\) | −30.9060 | + | 12.4913i | −1.45209 | + | 0.586891i | ||||
\(454\) | −1.39904 | − | 0.759014i | −0.0656602 | − | 0.0356223i | ||||
\(455\) | 56.9218 | − | 23.7148i | 2.66853 | − | 1.11177i | ||||
\(456\) | −7.37427 | + | 3.68702i | −0.345332 | + | 0.172661i | ||||
\(457\) | 15.1793 | + | 15.1793i | 0.710058 | + | 0.710058i | 0.966547 | − | 0.256490i | \(-0.0825659\pi\) |
−0.256490 | + | 0.966547i | \(0.582566\pi\) | |||||||
\(458\) | −27.2377 | + | 8.07804i | −1.27273 | + | 0.377462i | ||||
\(459\) | 10.8910 | + | 28.3407i | 0.508349 | + | 1.32283i | ||||
\(460\) | 12.3774 | + | 8.49463i | 0.577100 | + | 0.396064i | ||||
\(461\) | 4.53928 | − | 10.9588i | 0.211416 | − | 0.510402i | −0.782226 | − | 0.622995i | \(-0.785916\pi\) |
0.993641 | + | 0.112593i | \(0.0359156\pi\) | |||||||
\(462\) | −4.39849 | − | 15.1953i | −0.204636 | − | 0.706951i | ||||
\(463\) | 34.0126i | 1.58070i | 0.612657 | + | 0.790349i | \(0.290101\pi\) | ||||
−0.612657 | + | 0.790349i | \(0.709899\pi\) | |||||||
\(464\) | −19.7179 | + | 18.7616i | −0.915381 | + | 0.870984i | ||||
\(465\) | 0.229221 | − | 26.6435i | 0.0106299 | − | 1.23556i | ||||
\(466\) | −18.5622 | + | 15.0416i | −0.859876 | + | 0.696788i | ||||
\(467\) | 12.7518 | − | 30.7855i | 0.590082 | − | 1.42458i | −0.293341 | − | 0.956008i | \(-0.594767\pi\) |
0.883423 | − | 0.468576i | \(-0.155233\pi\) | |||||||
\(468\) | −6.71846 | − | 39.9239i | −0.310561 | − | 1.84548i | ||||
\(469\) | 0.0181661 | + | 8.84884i | 0.000838833 | + | 0.408602i | ||||
\(470\) | −39.8720 | + | 11.8251i | −1.83916 | + | 0.545450i | ||||
\(471\) | −13.4105 | − | 13.6433i | −0.617924 | − | 0.628648i | ||||
\(472\) | −1.66991 | − | 20.9506i | −0.0768639 | − | 0.964329i | ||||
\(473\) | −2.22382 | − | 2.22382i | −0.102251 | − | 0.102251i | ||||
\(474\) | 8.70365 | + | 4.81932i | 0.399772 | + | 0.221359i | ||||
\(475\) | 10.7765 | − | 4.46378i | 0.494460 | − | 0.204812i | ||||
\(476\) | 30.3853 | − | 5.71708i | 1.39271 | − | 0.262042i | ||||
\(477\) | −1.68724 | + | 3.88302i | −0.0772535 | + | 0.177791i | ||||
\(478\) | 16.8783 | + | 1.76830i | 0.771998 | + | 0.0808803i | ||||
\(479\) | −20.9380 | −0.956681 | −0.478340 | − | 0.878174i | \(-0.658761\pi\) | ||||
−0.478340 | + | 0.878174i | \(0.658761\pi\) | |||||||
\(480\) | 29.1912 | + | 17.1246i | 1.33239 | + | 0.781630i | ||||
\(481\) | − | 46.8899i | − | 2.13799i | ||||||
\(482\) | −27.7268 | − | 2.90487i | −1.26292 | − | 0.132313i | ||||
\(483\) | 7.08745 | − | 6.99520i | 0.322490 | − | 0.318293i | ||||
\(484\) | 8.45315 | − | 5.49755i | 0.384234 | − | 0.249888i | ||||
\(485\) | 0.451955 | − | 0.187206i | 0.0205222 | − | 0.00850059i | ||||
\(486\) | 18.9074 | + | 11.3362i | 0.857657 | + | 0.514223i | ||||
\(487\) | 16.1529 | − | 16.1529i | 0.731960 | − | 0.731960i | −0.239048 | − | 0.971008i | \(-0.576835\pi\) |
0.971008 | + | 0.239048i | \(0.0768353\pi\) | |||||||
\(488\) | 18.2795 | − | 21.4459i | 0.827473 | − | 0.970808i | ||||
\(489\) | −26.4650 | + | 26.0135i | −1.19679 | + | 1.17637i | ||||
\(490\) | 30.1225 | + | 16.1825i | 1.36080 | + | 0.731050i | ||||
\(491\) | 8.07180 | + | 19.4870i | 0.364275 | + | 0.879438i | 0.994665 | + | 0.103159i | \(0.0328951\pi\) |
−0.630390 | + | 0.776279i | \(0.717105\pi\) | |||||||
\(492\) | 25.7128 | − | 4.55480i | 1.15922 | − | 0.205346i | ||||
\(493\) | −36.7318 | − | 15.2148i | −1.65432 | − | 0.685240i | ||||
\(494\) | 10.1106 | + | 12.4770i | 0.454897 | + | 0.561369i | ||||
\(495\) | 25.2903 | + | 0.435191i | 1.13671 | + | 0.0195604i | ||||
\(496\) | −7.22402 | + | 16.2838i | −0.324368 | + | 0.731162i | ||||
\(497\) | −7.88121 | + | 19.1379i | −0.353520 | + | 0.858454i | ||||
\(498\) | 4.12916 | + | 5.18621i | 0.185032 | + | 0.232399i | ||||
\(499\) | 6.51405 | − | 15.7263i | 0.291609 | − | 0.704006i | −0.708389 | − | 0.705822i | \(-0.750578\pi\) |
0.999998 | + | 0.00181551i | \(0.000577895\pi\) | |||||||
\(500\) | −10.9989 | − | 7.54852i | −0.491884 | − | 0.337580i | ||||
\(501\) | −8.41246 | − | 20.8142i | −0.375841 | − | 0.929909i | ||||
\(502\) | −1.86381 | − | 6.28444i | −0.0831861 | − | 0.280488i | ||||
\(503\) | −10.7244 | − | 10.7244i | −0.478178 | − | 0.478178i | 0.426371 | − | 0.904548i | \(-0.359792\pi\) |
−0.904548 | + | 0.426371i | \(0.859792\pi\) | |||||||
\(504\) | 14.8202 | − | 16.8630i | 0.660145 | − | 0.751138i | ||||
\(505\) | −22.3392 | + | 22.3392i | −0.994082 | + | 0.994082i | ||||
\(506\) | −6.59354 | − | 3.57716i | −0.293119 | − | 0.159024i | ||||
\(507\) | −52.2372 | + | 21.1127i | −2.31993 | + | 0.937648i | ||||
\(508\) | −14.0729 | − | 2.98150i | −0.624386 | − | 0.132283i | ||||
\(509\) | −31.6877 | − | 13.1255i | −1.40453 | − | 0.581777i | −0.453609 | − | 0.891201i | \(-0.649864\pi\) |
−0.950924 | + | 0.309424i | \(0.899864\pi\) | |||||||
\(510\) | −5.57400 | + | 49.1218i | −0.246821 | + | 2.17515i | ||||
\(511\) | −22.5207 | − | 9.27425i | −0.996256 | − | 0.410269i | ||||
\(512\) | −13.3549 | − | 18.2660i | −0.590208 | − | 0.807251i | ||||
\(513\) | −8.74184 | − | 0.225670i | −0.385962 | − | 0.00996359i | ||||
\(514\) | −10.7563 | − | 1.12691i | −0.474440 | − | 0.0497059i | ||||
\(515\) | −3.64921 | + | 8.80998i | −0.160804 | + | 0.388214i | ||||
\(516\) | 0.962574 | − | 4.35817i | 0.0423750 | − | 0.191858i | ||||
\(517\) | 19.1996 | − | 7.95275i | 0.844399 | − | 0.349762i | ||||
\(518\) | 20.1678 | − | 16.4114i | 0.886124 | − | 0.721076i | ||||
\(519\) | −9.47353 | − | 9.63795i | −0.415842 | − | 0.423059i | ||||
\(520\) | 20.3083 | − | 62.7157i | 0.890578 | − | 2.75027i | ||||
\(521\) | −20.5664 | − | 20.5664i | −0.901031 | − | 0.901031i | 0.0944943 | − | 0.995525i | \(-0.469877\pi\) |
−0.995525 | + | 0.0944943i | \(0.969877\pi\) | |||||||
\(522\) | −27.8141 | + | 7.73092i | −1.21739 | + | 0.338373i | ||||
\(523\) | 1.64420 | + | 3.96944i | 0.0718956 | + | 0.173571i | 0.955742 | − | 0.294206i | \(-0.0950550\pi\) |
−0.883847 | + | 0.467777i | \(0.845055\pi\) | |||||||
\(524\) | −21.5295 | − | 14.7757i | −0.940522 | − | 0.645481i | ||||
\(525\) | −22.6057 | + | 22.3115i | −0.986593 | + | 0.973753i | ||||
\(526\) | 8.22609 | + | 10.1515i | 0.358674 | + | 0.442624i | ||||
\(527\) | −26.0223 | −1.13355 | ||||||||
\(528\) | −15.3989 | − | 6.99061i | −0.670150 | − | 0.304227i | ||||
\(529\) | 18.2779i | 0.794690i | ||||||||
\(530\) | −5.35603 | + | 4.34018i | −0.232651 | + | 0.188525i | ||||
\(531\) | 8.88384 | − | 20.4452i | 0.385526 | − | 0.887248i | ||||
\(532\) | −1.82781 | + | 8.71563i | −0.0792456 | + | 0.377870i | ||||
\(533\) | −19.4649 | − | 46.9925i | −0.843120 | − | 2.03547i | ||||
\(534\) | 1.65125 | + | 5.74869i | 0.0714566 | + | 0.248770i | ||||
\(535\) | 8.53976 | − | 8.53976i | 0.369206 | − | 0.369206i | ||||
\(536\) | 7.19945 | + | 6.13648i | 0.310969 | + | 0.265056i | ||||
\(537\) | −15.3191 | + | 15.0578i | −0.661068 | + | 0.649791i | ||||
\(538\) | −5.10221 | + | 9.40457i | −0.219972 | + | 0.405460i | ||||
\(539\) | −15.8127 | − | 6.47389i | −0.681100 | − | 0.278850i | ||||
\(540\) | 18.7875 | + | 30.5872i | 0.808487 | + | 1.31626i | ||||
\(541\) | 6.16702 | + | 2.55446i | 0.265141 | + | 0.109825i | 0.511294 | − | 0.859406i | \(-0.329166\pi\) |
−0.246153 | + | 0.969231i | \(0.579166\pi\) | |||||||
\(542\) | 36.2921 | + | 3.80223i | 1.55888 | + | 0.163320i | ||||
\(543\) | −33.4554 | − | 0.287827i | −1.43571 | − | 0.0123518i | ||||
\(544\) | 16.4789 | − | 28.6524i | 0.706527 | − | 1.22846i | ||||
\(545\) | 8.07673 | 0.345969 | ||||||||
\(546\) | −38.2994 | − | 21.1042i | −1.63906 | − | 0.903177i | ||||
\(547\) | −16.5591 | − | 6.85901i | −0.708017 | − | 0.293270i | −0.000533071 | − | 1.00000i | \(-0.500170\pi\) |
−0.707484 | + | 0.706730i | \(0.750170\pi\) | |||||||
\(548\) | 34.7659 | − | 22.6102i | 1.48512 | − | 0.965858i | ||||
\(549\) | 27.8061 | − | 10.9610i | 1.18673 | − | 0.467806i | ||||
\(550\) | 21.0304 | + | 11.4095i | 0.896738 | + | 0.486502i | ||||
\(551\) | 8.09728 | − | 8.09728i | 0.344956 | − | 0.344956i | ||||
\(552\) | −0.754530 | − | 10.6189i | −0.0321149 | − | 0.451972i | ||||
\(553\) | 9.91953 | − | 4.13268i | 0.421821 | − | 0.175739i | ||||
\(554\) | −21.1106 | + | 6.26089i | −0.896904 | + | 0.266000i | ||||
\(555\) | 15.5791 | + | 38.5458i | 0.661294 | + | 1.63618i | ||||
\(556\) | −2.89909 | − | 15.5841i | −0.122949 | − | 0.660915i | ||||
\(557\) | 34.2131 | + | 14.1715i | 1.44966 | + | 0.600467i | 0.962118 | − | 0.272634i | \(-0.0878948\pi\) |
0.487539 | + | 0.873101i | \(0.337895\pi\) | |||||||
\(558\) | −14.8826 | + | 11.6415i | −0.630031 | + | 0.492823i | ||||
\(559\) | −8.69365 | −0.367702 | ||||||||
\(560\) | 34.0826 | − | 13.2156i | 1.44025 | − | 0.558462i | ||||
\(561\) | 0.212523 | − | 24.7025i | 0.00897271 | − | 1.04294i | ||||
\(562\) | −14.1142 | − | 17.4177i | −0.595371 | − | 0.734722i | ||||
\(563\) | −16.0113 | + | 38.6547i | −0.674796 | + | 1.62910i | 0.0985600 | + | 0.995131i | \(0.468576\pi\) |
−0.773356 | + | 0.633972i | \(0.781424\pi\) | |||||||
\(564\) | 24.1721 | + | 16.8971i | 1.01783 | + | 0.711496i | ||||
\(565\) | 6.25251 | + | 15.0949i | 0.263045 | + | 0.635047i | ||||
\(566\) | −2.81845 | + | 0.835884i | −0.118468 | + | 0.0351348i | ||||
\(567\) | 22.2825 | − | 8.39584i | 0.935777 | − | 0.352592i | ||||
\(568\) | 10.0648 | + | 19.7046i | 0.422310 | + | 0.826786i | ||||
\(569\) | −6.20686 | − | 6.20686i | −0.260205 | − | 0.260205i | 0.564932 | − | 0.825137i | \(-0.308902\pi\) |
−0.825137 | + | 0.564932i | \(0.808902\pi\) | |||||||
\(570\) | −12.4569 | − | 6.89753i | −0.521761 | − | 0.288906i | ||||
\(571\) | −9.61177 | − | 23.2049i | −0.402240 | − | 0.971093i | −0.987121 | − | 0.159974i | \(-0.948859\pi\) |
0.584881 | − | 0.811119i | \(-0.301141\pi\) | |||||||
\(572\) | −6.82730 | + | 32.2255i | −0.285464 | + | 1.34741i | ||||
\(573\) | 36.1362 | + | 15.3336i | 1.50961 | + | 0.640571i | ||||
\(574\) | 13.3993 | − | 24.8194i | 0.559274 | − | 1.03594i | ||||
\(575\) | 15.0614i | 0.628105i | ||||||||
\(576\) | −3.39351 | − | 23.7589i | −0.141396 | − | 0.989953i | ||||
\(577\) | − | 1.64323i | − | 0.0684087i | −0.999415 | − | 0.0342043i | \(-0.989110\pi\) | ||
0.999415 | − | 0.0342043i | \(-0.0108897\pi\) | |||||||
\(578\) | 24.1091 | + | 2.52585i | 1.00281 | + | 0.105062i | ||||
\(579\) | −3.95159 | + | 9.31256i | −0.164222 | + | 0.387017i | ||||
\(580\) | −45.9857 | − | 9.74255i | −1.90945 | − | 0.404537i | ||||
\(581\) | 7.16037 | − | 0.0146998i | 0.297062 | − | 0.000609850i | ||||
\(582\) | −0.303491 | − | 0.168047i | −0.0125801 | − | 0.00696576i | ||||
\(583\) | 2.43583 | − | 2.43583i | 0.100882 | − | 0.100882i | ||||
\(584\) | −23.1875 | + | 11.8438i | −0.959504 | + | 0.490100i | ||||
\(585\) | 50.2847 | − | 48.5834i | 2.07902 | − | 2.00868i | ||||
\(586\) | 8.95596 | + | 30.1979i | 0.369967 | + | 1.24746i | ||||
\(587\) | 24.8622 | − | 10.2983i | 1.02617 | − | 0.425055i | 0.194844 | − | 0.980834i | \(-0.437580\pi\) |
0.831330 | + | 0.555779i | \(0.187580\pi\) | |||||||
\(588\) | −4.32760 | − | 23.8594i | −0.178467 | − | 0.983946i | ||||
\(589\) | 2.86822 | − | 6.92450i | 0.118183 | − | 0.285319i | ||||
\(590\) | 28.2011 | − | 22.8523i | 1.16102 | − | 0.940816i | ||||
\(591\) | 0.106565 | − | 12.3866i | 0.00438352 | − | 0.509516i | ||||
\(592\) | 0.690613 | − | 27.7881i | 0.0283840 | − | 1.14209i | ||||
\(593\) | 26.1227i | 1.07273i | 0.843986 | + | 0.536365i | \(0.180203\pi\) | ||||
−0.843986 | + | 0.536365i | \(0.819797\pi\) | |||||||
\(594\) | −10.9295 | − | 14.2228i | −0.448442 | − | 0.583571i | ||||
\(595\) | 37.8356 | + | 37.6806i | 1.55111 | + | 1.54475i | ||||
\(596\) | 0.156186 | + | 0.839584i | 0.00639764 | + | 0.0343907i | ||||
\(597\) | 1.41347 | − | 0.571282i | 0.0578495 | − | 0.0233810i | ||||
\(598\) | −19.8803 | + | 5.89602i | −0.812967 | + | 0.241106i | ||||
\(599\) | −17.6443 | + | 17.6443i | −0.720927 | + | 0.720927i | −0.968794 | − | 0.247867i | \(-0.920270\pi\) |
0.247867 | + | 0.968794i | \(0.420270\pi\) | |||||||
\(600\) | 2.40660 | + | 33.8695i | 0.0982492 | + | 1.38272i | ||||
\(601\) | −20.5736 | − | 20.5736i | −0.839215 | − | 0.839215i | 0.149540 | − | 0.988756i | \(-0.452221\pi\) |
−0.988756 | + | 0.149540i | \(0.952221\pi\) | |||||||
\(602\) | −3.04277 | − | 3.73923i | −0.124014 | − | 0.152400i | ||||
\(603\) | 3.67966 | + | 9.33459i | 0.149847 | + | 0.380134i | ||||
\(604\) | 20.9856 | + | 32.2679i | 0.853893 | + | 1.31296i | ||||
\(605\) | 16.0894 | + | 6.66444i | 0.654126 | + | 0.270948i | ||||
\(606\) | 22.2608 | + | 2.52601i | 0.904285 | + | 0.102612i | ||||
\(607\) | − | 21.0802i | − | 0.855618i | −0.903869 | − | 0.427809i | \(-0.859286\pi\) | ||
0.903869 | − | 0.427809i | \(-0.140714\pi\) | |||||||
\(608\) | 5.80803 | + | 7.54313i | 0.235547 | + | 0.305914i | ||||
\(609\) | −12.1211 | + | 28.7292i | −0.491172 | + | 1.16417i | ||||
\(610\) | 48.4023 | + | 5.07099i | 1.95975 | + | 0.205318i | ||||
\(611\) | 21.9839 | − | 53.0739i | 0.889374 | − | 2.14714i | ||||
\(612\) | 29.7141 | − | 18.6052i | 1.20112 | − | 0.752069i | ||||
\(613\) | 4.15844 | + | 10.0394i | 0.167958 | + | 0.405486i | 0.985338 | − | 0.170612i | \(-0.0545746\pi\) |
−0.817380 | + | 0.576098i | \(0.804575\pi\) | |||||||
\(614\) | −0.391618 | − | 0.212462i | −0.0158044 | − | 0.00857428i | ||||
\(615\) | 31.6143 | + | 32.1630i | 1.27481 | + | 1.29694i | ||||
\(616\) | −16.2501 | + | 8.34239i | −0.654733 | + | 0.336124i | ||||
\(617\) | 14.7262 | − | 14.7262i | 0.592854 | − | 0.592854i | −0.345548 | − | 0.938401i | \(-0.612307\pi\) |
0.938401 | + | 0.345548i | \(0.112307\pi\) | |||||||
\(618\) | 6.49952 | − | 1.86692i | 0.261449 | − | 0.0750985i | ||||
\(619\) | 3.72391 | + | 8.99031i | 0.149676 | + | 0.361351i | 0.980879 | − | 0.194619i | \(-0.0623470\pi\) |
−0.831202 | + | 0.555970i | \(0.812347\pi\) | |||||||
\(620\) | −30.2474 | + | 5.62687i | −1.21477 | + | 0.225981i | ||||
\(621\) | 4.58883 | − | 10.3170i | 0.184144 | − | 0.414006i | ||||
\(622\) | −22.9144 | − | 28.2777i | −0.918783 | − | 1.13383i | ||||
\(623\) | 5.97366 | + | 2.46002i | 0.239330 | + | 0.0985585i | ||||
\(624\) | −43.7640 | + | 16.4353i | −1.75196 | + | 0.657940i | ||||
\(625\) | 11.6161i | 0.464643i | ||||||||
\(626\) | 1.82056 | + | 2.24667i | 0.0727642 | + | 0.0897952i | ||||
\(627\) | 6.54988 | + | 2.77930i | 0.261577 | + | 0.110995i | ||||
\(628\) | −12.4999 | + | 18.2134i | −0.498799 | + | 0.726793i | ||||
\(629\) | 37.5135 | − | 15.5386i | 1.49576 | − | 0.619564i | ||||
\(630\) | 38.4958 | + | 4.62383i | 1.53371 | + | 0.184218i | ||||
\(631\) | 5.77138 | + | 5.77138i | 0.229755 | + | 0.229755i | 0.812590 | − | 0.582835i | \(-0.198057\pi\) |
−0.582835 | + | 0.812590i | \(0.698057\pi\) | |||||||
\(632\) | 3.53905 | − | 10.9292i | 0.140776 | − | 0.434741i | ||||
\(633\) | 21.9030 | + | 22.2831i | 0.870566 | + | 0.885675i | ||||
\(634\) | −13.9512 | + | 25.7153i | −0.554071 | + | 1.02128i | ||||
\(635\) | −9.50753 | − | 22.9532i | −0.377295 | − | 0.910870i | ||||
\(636\) | 4.77366 | + | 1.05434i | 0.189288 | + | 0.0418073i | ||||
\(637\) | −43.5628 | + | 18.2542i | −1.72602 | + | 0.723259i | ||||
\(638\) | 23.3610 | + | 2.44747i | 0.924869 | + | 0.0968962i | ||||
\(639\) | −0.403781 | + | 23.4650i | −0.0159733 | + | 0.928259i | ||||
\(640\) | 12.9589 | − | 36.8678i | 0.512247 | − | 1.45733i | ||||
\(641\) | 0.146112i | 0.00577107i | 0.999996 | + | 0.00288554i | \(0.000918496\pi\) | ||||
−0.999996 | + | 0.00288554i | \(0.999082\pi\) | |||||||
\(642\) | −8.50980 | − | 0.965633i | −0.335855 | − | 0.0381105i | ||||
\(643\) | 8.67574 | − | 20.9451i | 0.342138 | − | 0.825994i | −0.655361 | − | 0.755316i | \(-0.727484\pi\) |
0.997499 | − | 0.0706785i | \(-0.0225164\pi\) | |||||||
\(644\) | −9.49404 | − | 6.48713i | −0.374117 | − | 0.255629i | ||||
\(645\) | 7.14661 | − | 2.88845i | 0.281398 | − | 0.113732i | ||||
\(646\) | −6.63156 | + | 12.2235i | −0.260915 | + | 0.480928i | ||||
\(647\) | 26.1219 | − | 26.1219i | 1.02696 | − | 1.02696i | 0.0273318 | − | 0.999626i | \(-0.491299\pi\) |
0.999626 | − | 0.0273318i | \(-0.00870105\pi\) | |||||||
\(648\) | 8.67068 | − | 23.9336i | 0.340616 | − | 0.940202i | ||||
\(649\) | −12.8254 | + | 12.8254i | −0.503439 | + | 0.503439i | ||||
\(650\) | 63.4091 | − | 18.8056i | 2.48711 | − | 0.737617i | ||||
\(651\) | −0.133679 | + | 20.4083i | −0.00523931 | + | 0.799866i | ||||
\(652\) | 35.3301 | + | 24.2471i | 1.38363 | + | 0.949588i | ||||
\(653\) | 30.3469 | + | 12.5701i | 1.18757 | + | 0.491907i | 0.886962 | − | 0.461842i | \(-0.152811\pi\) |
0.300606 | + | 0.953749i | \(0.402811\pi\) | |||||||
\(654\) | −3.56756 | − | 4.48084i | −0.139503 | − | 0.175215i | ||||
\(655\) | − | 45.0974i | − | 1.76210i | ||||||
\(656\) | −10.8433 | − | 28.1356i | −0.423359 | − | 1.09851i | ||||
\(657\) | −27.6125 | − | 0.475152i | −1.07727 | − | 0.0185374i | ||||
\(658\) | 30.5220 | − | 9.12029i | 1.18987 | − | 0.355546i | ||||
\(659\) | −1.85537 | − | 0.768518i | −0.0722748 | − | 0.0299372i | 0.346253 | − | 0.938141i | \(-0.387454\pi\) |
−0.418528 | + | 0.908204i | \(0.637454\pi\) | |||||||
\(660\) | −5.09446 | − | 28.7593i | −0.198301 | − | 1.11945i | ||||
\(661\) | 4.69879 | + | 11.3439i | 0.182762 | + | 0.441226i | 0.988534 | − | 0.151000i | \(-0.0482494\pi\) |
−0.805772 | + | 0.592226i | \(0.798249\pi\) | |||||||
\(662\) | −1.99164 | + | 0.590672i | −0.0774072 | + | 0.0229571i | ||||
\(663\) | −47.8697 | − | 48.7005i | −1.85911 | − | 1.89137i | ||||
\(664\) | 4.96556 | − | 5.82570i | 0.192701 | − | 0.226081i | ||||
\(665\) | −14.1971 | + | 5.91479i | −0.550539 | + | 0.229366i | ||||
\(666\) | 14.5032 | − | 25.6690i | 0.561987 | − | 0.994654i | ||||
\(667\) | 5.65844 | + | 13.6607i | 0.219096 | + | 0.528944i | ||||
\(668\) | −21.7314 | + | 14.1331i | −0.840813 | + | 0.546827i | ||||
\(669\) | −33.3123 | − | 14.1354i | −1.28793 | − | 0.546505i | ||||
\(670\) | −1.70235 | + | 16.2488i | −0.0657674 | + | 0.627747i | ||||
\(671\) | −24.3187 | −0.938813 | ||||||||
\(672\) | −22.3864 | − | 13.0710i | −0.863573 | − | 0.504224i | ||||
\(673\) | −48.3023 | −1.86192 | −0.930959 | − | 0.365124i | \(-0.881026\pi\) | ||||
−0.930959 | + | 0.365124i | \(0.881026\pi\) | |||||||
\(674\) | −2.67983 | + | 25.5789i | −0.103223 | + | 0.985261i | ||||
\(675\) | −14.6363 | + | 32.9064i | −0.563350 | + | 1.26657i | ||||
\(676\) | 35.4698 | + | 54.5391i | 1.36422 | + | 2.09766i | ||||
\(677\) | −7.08612 | − | 17.1074i | −0.272342 | − | 0.657491i | 0.727241 | − | 0.686383i | \(-0.240802\pi\) |
−0.999583 | + | 0.0288911i | \(0.990802\pi\) | |||||||
\(678\) | 5.61261 | − | 10.1363i | 0.215551 | − | 0.389284i | ||||
\(679\) | −0.345888 | + | 0.144104i | −0.0132740 | + | 0.00553021i | ||||
\(680\) | 56.9045 | − | 4.53570i | 2.18219 | − | 0.173936i | ||||
\(681\) | −1.39023 | + | 1.36652i | −0.0532739 | + | 0.0523651i | ||||
\(682\) | 14.7392 | − | 4.37129i | 0.564394 | − | 0.167385i | ||||
\(683\) | 5.06055 | + | 12.2172i | 0.193636 | + | 0.467480i | 0.990641 | − | 0.136494i | \(-0.0435833\pi\) |
−0.797004 | + | 0.603973i | \(0.793583\pi\) | |||||||
\(684\) | 1.67568 | + | 9.95757i | 0.0640710 | + | 0.380737i | ||||
\(685\) | 66.1719 | + | 27.4093i | 2.52830 | + | 1.04726i | ||||
\(686\) | −23.0983 | − | 12.3479i | −0.881896 | − | 0.471444i | ||||
\(687\) | −0.299344 | + | 34.7941i | −0.0114207 | + | 1.32748i | ||||
\(688\) | −5.15208 | − | 0.128044i | −0.196421 | − | 0.00488162i | ||||
\(689\) | − | 9.52246i | − | 0.362777i | ||||||
\(690\) | 14.3837 | − | 11.4520i | 0.547577 | − | 0.435971i | ||||
\(691\) | −12.9952 | − | 5.38280i | −0.494362 | − | 0.204771i | 0.121552 | − | 0.992585i | \(-0.461213\pi\) |
−0.615913 | + | 0.787814i | \(0.711213\pi\) | |||||||
\(692\) | −8.83022 | + | 12.8664i | −0.335675 | + | 0.489107i | ||||
\(693\) | −19.3722 | − | 0.293573i | −0.735888 | − | 0.0111519i | ||||
\(694\) | −24.7676 | + | 7.34548i | −0.940166 | + | 0.278831i | ||||
\(695\) | 19.3582 | − | 19.3582i | 0.734297 | − | 0.734297i | ||||
\(696\) | 14.9073 | + | 29.8155i | 0.565058 | + | 1.13015i | ||||
\(697\) | 31.1452 | − | 31.1452i | 1.17971 | − | 1.17971i | ||||
\(698\) | −9.59166 | + | 17.6797i | −0.363050 | + | 0.669186i | ||||
\(699\) | 10.9647 | + | 27.1290i | 0.414724 | + | 1.02611i | ||||
\(700\) | 30.2816 | + | 20.6910i | 1.14454 | + | 0.782045i | ||||
\(701\) | −0.169272 | + | 0.408659i | −0.00639332 | + | 0.0154348i | −0.927044 | − | 0.374953i | \(-0.877659\pi\) |
0.920651 | + | 0.390387i | \(0.127659\pi\) | |||||||
\(702\) | −49.1644 | − | 6.43742i | −1.85559 | − | 0.242965i | ||||
\(703\) | 11.6950i | 0.441085i | ||||||||
\(704\) | −4.52066 | + | 18.9971i | −0.170379 | + | 0.715979i | ||||
\(705\) | −0.438195 | + | 50.9335i | −0.0165034 | + | 1.91827i | ||||
\(706\) | −11.3226 | − | 1.18624i | −0.426130 | − | 0.0446446i | ||||
\(707\) | 17.0759 | − | 17.1462i | 0.642207 | − | 0.644849i | ||||
\(708\) | −25.1347 | − | 5.55142i | −0.944622 | − | 0.208635i | ||||
\(709\) | 6.58167 | + | 15.8896i | 0.247180 | + | 0.596745i | 0.997962 | − | 0.0638044i | \(-0.0203234\pi\) |
−0.750783 | + | 0.660549i | \(0.770323\pi\) | |||||||
\(710\) | −18.2227 | + | 33.5887i | −0.683886 | + | 1.26056i | ||||
\(711\) | 8.76291 | − | 8.46643i | 0.328635 | − | 0.317516i | ||||
\(712\) | 6.15053 | − | 3.14160i | 0.230501 | − | 0.117736i | ||||
\(713\) | 6.84323 | + | 6.84323i | 0.256281 | + | 0.256281i | ||||
\(714\) | 4.19225 | − | 37.6344i | 0.156891 | − | 1.40843i | ||||
\(715\) | −52.5602 | + | 21.7712i | −1.96564 | + | 0.814195i | ||||
\(716\) | 20.4506 | + | 14.0353i | 0.764275 | + | 0.524522i | ||||
\(717\) | 8.11891 | − | 19.1335i | 0.303206 | − | 0.714554i | ||||
\(718\) | −31.6413 | − | 39.0471i | −1.18084 | − | 1.45723i | ||||
\(719\) | 37.7092i | 1.40631i | 0.711034 | + | 0.703157i | \(0.248227\pi\) | ||||
−0.711034 | + | 0.703157i | \(0.751773\pi\) | |||||||
\(720\) | 30.5156 | − | 28.0512i | 1.13725 | − | 1.04540i | ||||
\(721\) | 2.78132 | − | 6.75388i | 0.103582 | − | 0.251528i | ||||
\(722\) | 14.3951 | + | 17.7644i | 0.535730 | + | 0.661122i | ||||
\(723\) | −13.3373 | + | 31.4315i | −0.496019 | + | 1.16895i | ||||
\(724\) | 7.06550 | + | 37.9808i | 0.262587 | + | 1.41155i | ||||
\(725\) | −18.0478 | − | 43.5713i | −0.670280 | − | 1.61820i | ||||
\(726\) | −3.40949 | − | 11.8699i | −0.126538 | − | 0.440532i | ||||
\(727\) | −30.0556 | + | 30.0556i | −1.11470 | + | 1.11470i | −0.122195 | + | 0.992506i | \(0.538993\pi\) |
−0.992506 | + | 0.122195i | \(0.961007\pi\) | |||||||
\(728\) | −15.4569 | + | 48.0700i | −0.572869 | + | 1.78159i | ||||
\(729\) | 20.0515 | − | 18.0814i | 0.742649 | − | 0.669681i | ||||
\(730\) | −39.5257 | − | 21.4437i | −1.46291 | − | 0.793666i | ||||
\(731\) | −2.88094 | − | 6.95521i | −0.106555 | − | 0.257248i | ||||
\(732\) | −18.5664 | − | 29.0927i | −0.686234 | − | 1.07530i | ||||
\(733\) | 6.41674 | − | 15.4914i | 0.237008 | − | 0.572188i | −0.759963 | − | 0.649967i | \(-0.774783\pi\) |
0.996971 | + | 0.0777790i | \(0.0247829\pi\) | |||||||
\(734\) | 20.4469 | + | 2.14217i | 0.754707 | + | 0.0790688i | ||||
\(735\) | 29.7459 | − | 29.4795i | 1.09719 | − | 1.08737i | ||||
\(736\) | −11.8684 | + | 3.20133i | −0.437476 | + | 0.118003i | ||||
\(737\) | − | 8.16387i | − | 0.300720i | ||||||
\(738\) | 3.87919 | − | 31.7457i | 0.142795 | − | 1.16858i | ||||
\(739\) | 18.0230 | + | 7.46536i | 0.662986 | + | 0.274618i | 0.688695 | − | 0.725052i | \(-0.258184\pi\) |
−0.0257084 | + | 0.999669i | \(0.508184\pi\) | |||||||
\(740\) | 40.2444 | − | 26.1732i | 1.47941 | − | 0.962145i | ||||
\(741\) | 18.2354 | − | 7.37022i | 0.669896 | − | 0.270752i | ||||
\(742\) | 4.09571 | − | 3.33285i | 0.150358 | − | 0.122353i | ||||
\(743\) | 21.6861 | + | 21.6861i | 0.795588 | + | 0.795588i | 0.982396 | − | 0.186809i | \(-0.0598145\pi\) |
−0.186809 | + | 0.982396i | \(0.559814\pi\) | |||||||
\(744\) | 16.4822 | + | 14.2953i | 0.604268 | + | 0.524092i | ||||
\(745\) | −1.04291 | + | 1.04291i | −0.0382091 | + | 0.0382091i | ||||
\(746\) | −14.4882 | + | 4.29685i | −0.530451 | + | 0.157319i | ||||
\(747\) | 7.55343 | − | 2.97753i | 0.276366 | − | 0.108942i | ||||
\(748\) | −28.0439 | + | 5.21696i | −1.02539 | + | 0.190751i | ||||
\(749\) | −6.52773 | + | 6.55459i | −0.238518 | + | 0.239500i | ||||
\(750\) | −12.7817 | + | 10.1765i | −0.466720 | + | 0.371594i | ||||
\(751\) | 0.713669i | 0.0260422i | 0.999915 | + | 0.0130211i | \(0.00414486\pi\) | ||||
−0.999915 | + | 0.0130211i | \(0.995855\pi\) | |||||||
\(752\) | 13.8099 | − | 31.1292i | 0.503596 | − | 1.13516i | ||||
\(753\) | −8.02790 | − | 0.0690663i | −0.292553 | − | 0.00251692i | ||||
\(754\) | 50.4469 | − | 40.8789i | 1.83717 | − | 1.48872i | ||||
\(755\) | −25.4399 | + | 61.4175i | −0.925855 | + | 2.23521i | ||||
\(756\) | −14.4387 | − | 23.3992i | −0.525131 | − | 0.851022i | ||||
\(757\) | −46.2904 | + | 19.1741i | −1.68245 | + | 0.696896i | −0.999438 | − | 0.0335073i | \(-0.989332\pi\) |
−0.683016 | + | 0.730403i | \(0.739332\pi\) | |||||||
\(758\) | 0.547562 | + | 1.84628i | 0.0198883 | + | 0.0670599i | ||||
\(759\) | −6.55204 | + | 6.44027i | −0.237824 | + | 0.233767i | ||||
\(760\) | −5.06517 | + | 15.6422i | −0.183733 | + | 0.567401i | ||||
\(761\) | −1.08863 | + | 1.08863i | −0.0394626 | + | 0.0394626i | −0.726563 | − | 0.687100i | \(-0.758883\pi\) |
0.687100 | + | 0.726563i | \(0.258883\pi\) | |||||||
\(762\) | −8.53450 | + | 15.4132i | −0.309172 | + | 0.558363i | ||||
\(763\) | −6.18650 | + | 0.0127005i | −0.223966 | + | 0.000459789i | ||||
\(764\) | 9.39460 | − | 44.3433i | 0.339885 | − | 1.60429i | ||||
\(765\) | 55.5319 | + | 24.1297i | 2.00776 | + | 0.872409i | ||||
\(766\) | −38.3259 | − | 4.01531i | −1.38477 | − | 0.145079i | ||||
\(767\) | 50.1386i | 1.81040i | ||||||||
\(768\) | −26.1777 | + | 9.09543i | −0.944607 | + | 0.328203i | ||||
\(769\) | 20.4010i | 0.735679i | 0.929889 | + | 0.367840i | \(0.119902\pi\) | ||||
−0.929889 | + | 0.367840i | \(0.880098\pi\) | |||||||
\(770\) | −27.7600 | − | 14.9868i | −1.00040 | − | 0.540088i | ||||
\(771\) | −5.17405 | + | 12.1935i | −0.186339 | + | 0.439138i | ||||
\(772\) | 11.4276 | + | 2.42106i | 0.411288 | + | 0.0871357i | ||||
\(773\) | −18.2059 | − | 43.9530i | −0.654822 | − | 1.58088i | −0.805697 | − | 0.592328i | \(-0.798209\pi\) |
0.150874 | − | 0.988553i | \(-0.451791\pi\) | |||||||
\(774\) | −4.75918 | − | 2.68897i | −0.171065 | − | 0.0966530i | ||||
\(775\) | −21.8268 | − | 21.8268i | −0.784041 | − | 0.784041i | ||||
\(776\) | −0.123404 | + | 0.381095i | −0.00442996 | + | 0.0136805i | ||||
\(777\) | −11.9936 | − | 29.5003i | −0.430269 | − | 1.05832i | ||||
\(778\) | 43.4224 | − | 12.8780i | 1.55677 | − | 0.461699i | ||||
\(779\) | 4.85482 | + | 11.7206i | 0.173942 | + | 0.419933i | ||||
\(780\) | −66.1728 | − | 46.2568i | −2.36937 | − | 1.65626i | ||||
\(781\) | 7.30736 | − | 17.6415i | 0.261478 | − | 0.631263i | ||||
\(782\) | −11.3051 | − | 13.9511i | −0.404268 | − | 0.498889i | ||||
\(783\) | −0.912424 | + | 35.3448i | −0.0326074 | + | 1.26312i | ||||
\(784\) | −26.0853 | + | 10.1763i | −0.931618 | + | 0.363440i | ||||
\(785\) | −38.1511 | −1.36167 | ||||||||
\(786\) | −25.0193 | + | 19.9199i | −0.892408 | + | 0.710519i | ||||
\(787\) | −19.6264 | − | 8.12952i | −0.699605 | − | 0.289786i | 0.00439031 | − | 0.999990i | \(-0.498603\pi\) |
−0.703996 | + | 0.710204i | \(0.748603\pi\) | |||||||
\(788\) | −14.0621 | + | 2.61594i | −0.500941 | + | 0.0931891i | ||||
\(789\) | 14.8365 | − | 5.99648i | 0.528195 | − | 0.213480i | ||||
\(790\) | 19.0215 | − | 5.64132i | 0.676755 | − | 0.200709i | ||||
\(791\) | −4.81295 | − | 11.5523i | −0.171129 | − | 0.410754i | ||||
\(792\) | −13.7049 | + | 15.5295i | −0.486983 | + | 0.551818i | ||||
\(793\) | −47.5350 | + | 47.5350i | −1.68802 | + | 1.68802i | ||||
\(794\) | 19.2842 | + | 10.4622i | 0.684371 | + | 0.371288i | ||||
\(795\) | 3.16382 | + | 7.82793i | 0.112209 | + | 0.277628i | ||||
\(796\) | −0.959767 | − | 1.47576i | −0.0340180 | − | 0.0523069i | ||||
\(797\) | 3.07891 | + | 1.27533i | 0.109061 | + | 0.0451744i | 0.436547 | − | 0.899682i | \(-0.356201\pi\) |
−0.327486 | + | 0.944856i | \(0.606201\pi\) | |||||||
\(798\) | 9.55239 | + | 5.26368i | 0.338151 | + | 0.186332i | ||||
\(799\) | 49.7460 | 1.75989 | ||||||||
\(800\) | 37.8548 | − | 10.2108i | 1.33837 | − | 0.361005i | ||||
\(801\) | 7.32428 | + | 0.126035i | 0.258791 | + | 0.00445323i | ||||
\(802\) | −7.75750 | − | 0.812734i | −0.273927 | − | 0.0286986i | ||||
\(803\) | 20.7597 | + | 8.59897i | 0.732595 | + | 0.303451i | ||||
\(804\) | 9.76651 | − | 6.23280i | 0.344438 | − | 0.219814i | ||||
\(805\) | −0.0407691 | − | 19.8589i | −0.00143692 | − | 0.699935i | ||||
\(806\) | 20.2658 | − | 37.3547i | 0.713833 | − | 1.31576i | ||||
\(807\) | 9.18595 | + | 9.34538i | 0.323361 | + | 0.328973i | ||||
\(808\) | −2.05547 | − | 25.7878i | −0.0723112 | − | 0.907211i | ||||
\(809\) | 2.50551 | − | 2.50551i | 0.0880889 | − | 0.0880889i | −0.661689 | − | 0.749778i | \(-0.730160\pi\) |
0.749778 | + | 0.661689i | \(0.230160\pi\) | |||||||
\(810\) | 42.5544 | − | 11.0429i | 1.49521 | − | 0.388008i | ||||
\(811\) | −17.0335 | − | 41.1225i | −0.598126 | − | 1.44401i | −0.875488 | − | 0.483239i | \(-0.839460\pi\) |
0.277362 | − | 0.960766i | \(-0.410540\pi\) | |||||||
\(812\) | 35.2388 | + | 7.39015i | 1.23664 | + | 0.259343i | ||||
\(813\) | 17.4574 | − | 41.1412i | 0.612257 | − | 1.44288i | ||||
\(814\) | −18.6377 | + | 15.1028i | −0.653250 | + | 0.529352i | ||||
\(815\) | 74.0050i | 2.59228i | ||||||||
\(816\) | −27.6515 | − | 29.5662i | −0.967997 | − | 1.03503i | ||||
\(817\) | 2.16832 | 0.0758598 | ||||||||
\(818\) | 15.8852 | + | 19.6032i | 0.555413 | + | 0.685411i | ||||
\(819\) | −38.4400 | + | 37.2923i | −1.34320 | + | 1.30310i | ||||
\(820\) | 29.4675 | − | 42.9367i | 1.02905 | − | 1.49941i | ||||
\(821\) | 4.01965 | + | 9.70430i | 0.140287 | + | 0.338682i | 0.978371 | − | 0.206859i | \(-0.0663241\pi\) |
−0.838084 | + | 0.545541i | \(0.816324\pi\) | |||||||
\(822\) | −14.0225 | − | 48.8180i | −0.489090 | − | 1.70272i | ||||
\(823\) | −24.2528 | − | 24.2528i | −0.845399 | − | 0.845399i | 0.144156 | − | 0.989555i | \(-0.453953\pi\) |
−0.989555 | + | 0.144156i | \(0.953953\pi\) | |||||||
\(824\) | −3.55192 | − | 6.95385i | −0.123737 | − | 0.242249i | ||||
\(825\) | 20.8980 | − | 20.5415i | 0.727575 | − | 0.715163i | ||||
\(826\) | −21.5651 | + | 17.5485i | −0.750347 | + | 0.610589i | ||||
\(827\) | −5.56590 | + | 2.30547i | −0.193545 | + | 0.0801692i | −0.477351 | − | 0.878713i | \(-0.658403\pi\) |
0.283806 | + | 0.958882i | \(0.408403\pi\) | |||||||
\(828\) | −12.7068 | − | 2.92137i | −0.441591 | − | 0.101525i | ||||
\(829\) | 12.1579 | − | 29.3518i | 0.422262 | − | 1.01943i | −0.559417 | − | 0.828887i | \(-0.688975\pi\) |
0.981679 | − | 0.190544i | \(-0.0610251\pi\) | |||||||
\(830\) | 13.1483 | + | 1.37752i | 0.456385 | + | 0.0478144i | ||||
\(831\) | −0.232007 | + | 26.9672i | −0.00804822 | + | 0.935482i | ||||
\(832\) | 28.2966 | + | 45.9693i | 0.981007 | + | 1.59370i | ||||
\(833\) | −29.0400 | − | 28.8025i | −1.00618 | − | 0.997949i | ||||
\(834\) | −19.2903 | − | 2.18892i | −0.667967 | − | 0.0757962i | ||||
\(835\) | −41.3627 | − | 17.1330i | −1.43141 | − | 0.592911i | ||||
\(836\) | 1.70282 | − | 8.03747i | 0.0588933 | − | 0.277982i | ||||
\(837\) | 8.30114 | + | 21.6013i | 0.286929 | + | 0.746649i | ||||
\(838\) | −43.6609 | − | 23.6871i | −1.50824 | − | 0.818258i | ||||
\(839\) | 22.5937 | − | 22.5937i | 0.780020 | − | 0.780020i | −0.199814 | − | 0.979834i | \(-0.564034\pi\) |
0.979834 | + | 0.199814i | \(0.0640338\pi\) | |||||||
\(840\) | −3.26486 | − | 44.6514i | −0.112648 | − | 1.54062i | ||||
\(841\) | −12.2326 | − | 12.2326i | −0.421814 | − | 0.421814i | ||||
\(842\) | 6.30132 | + | 21.2469i | 0.217158 | + | 0.732216i | ||||
\(843\) | −25.4563 | + | 10.2887i | −0.876762 | + | 0.354361i | ||||
\(844\) | 20.4156 | − | 29.7474i | 0.702736 | − | 1.02395i | ||||
\(845\) | −42.9985 | + | 103.808i | −1.47919 | + | 3.57109i | ||||
\(846\) | 28.4506 | − | 22.2546i | 0.978152 | − | 0.765130i | ||||
\(847\) | −12.3344 | − | 5.07943i | −0.423815 | − | 0.174531i | ||||
\(848\) | 0.140251 | − | 5.64325i | 0.00481623 | − | 0.193790i | ||||
\(849\) | −0.0309749 | + | 3.60036i | −0.00106306 | + | 0.123564i | ||||
\(850\) | 36.0579 | + | 44.4975i | 1.23678 | + | 1.52625i | ||||
\(851\) | −13.9514 | − | 5.77886i | −0.478248 | − | 0.198097i | ||||
\(852\) | 26.6836 | − | 4.72677i | 0.914165 | − | 0.161936i | ||||
\(853\) | 5.36687 | + | 12.9568i | 0.183758 | + | 0.443631i | 0.988735 | − | 0.149675i | \(-0.0478226\pi\) |
−0.804977 | + | 0.593306i | \(0.797823\pi\) | |||||||
\(854\) | −37.0825 | − | 3.80809i | −1.26894 | − | 0.130310i | ||||
\(855\) | −12.5417 | + | 12.1174i | −0.428917 | + | 0.414405i | ||||
\(856\) | 0.785758 | + | 9.85806i | 0.0268567 | + | 0.336942i | ||||
\(857\) | 10.5589 | − | 10.5589i | 0.360686 | − | 0.360686i | −0.503379 | − | 0.864065i | \(-0.667910\pi\) |
0.864065 | + | 0.503379i | \(0.167910\pi\) | |||||||
\(858\) | 35.2946 | + | 19.5430i | 1.20494 | + | 0.667188i | ||||
\(859\) | 17.7244 | − | 7.34170i | 0.604750 | − | 0.250496i | −0.0592320 | − | 0.998244i | \(-0.518865\pi\) |
0.663982 | + | 0.747749i | \(0.268865\pi\) | |||||||
\(860\) | −4.85265 | − | 7.46154i | −0.165474 | − | 0.254437i | ||||
\(861\) | −24.2660 | − | 24.5860i | −0.826984 | − | 0.837890i | ||||
\(862\) | 31.4637 | + | 3.29637i | 1.07166 | + | 0.112275i | ||||
\(863\) | 0.423310i | 0.0144096i | 0.999974 | + | 0.00720481i | \(0.00229338\pi\) | ||||
−0.999974 | + | 0.00720481i | \(0.997707\pi\) | |||||||
\(864\) | −29.0413 | − | 4.53910i | −0.988005 | − | 0.154423i | ||||
\(865\) | −26.9509 | −0.916358 | ||||||||
\(866\) | −37.1152 | − | 3.88847i | −1.26123 | − | 0.132136i | ||||
\(867\) | 11.5971 | − | 27.3304i | 0.393858 | − | 0.928190i | ||||
\(868\) | 23.1596 | − | 4.35756i | 0.786090 | − | 0.147905i | ||||
\(869\) | −9.15946 | + | 3.79397i | −0.310714 | + | 0.128702i | ||||
\(870\) | −27.8879 | + | 50.3653i | −0.945489 | + | 1.70755i | ||||
\(871\) | −15.9577 | − | 15.9577i | −0.540704 | − | 0.540704i | ||||
\(872\) | −4.29020 | + | 5.03336i | −0.145285 | + | 0.170451i | ||||
\(873\) | −0.305558 | + | 0.295219i | −0.0103416 | + | 0.00999166i | ||||
\(874\) | 4.95843 | − | 1.47055i | 0.167721 | − | 0.0497421i | ||||
\(875\) | 0.0362284 | + | 17.6471i | 0.00122474 | + | 0.596581i | ||||
\(876\) | 5.56225 | + | 31.4000i | 0.187931 | + | 1.06091i | ||||
\(877\) | −17.3060 | + | 41.7803i | −0.584381 | + | 1.41082i | 0.304425 | + | 0.952536i | \(0.401536\pi\) |
−0.888806 | + | 0.458284i | \(0.848464\pi\) | |||||||
\(878\) | 7.85537 | − | 6.36548i | 0.265106 | − | 0.214825i | ||||
\(879\) | 38.5755 | + | 0.331876i | 1.30112 | + | 0.0111939i | ||||
\(880\) | −31.4692 | + | 12.1280i | −1.06083 | + | 0.408836i | ||||
\(881\) | − | 12.6396i | − | 0.425840i | −0.977070 | − | 0.212920i | \(-0.931703\pi\) | ||
0.977070 | − | 0.212920i | \(-0.0682974\pi\) | |||||||
\(882\) | −29.4938 | − | 3.48116i | −0.993106 | − | 0.117217i | ||||
\(883\) | 6.16930 | − | 14.8940i | 0.207613 | − | 0.501223i | −0.785433 | − | 0.618947i | \(-0.787560\pi\) |
0.993046 | + | 0.117724i | \(0.0375597\pi\) | |||||||
\(884\) | −44.6191 | + | 65.0139i | −1.50070 | + | 2.18665i | ||||
\(885\) | −16.6584 | − | 41.2164i | −0.559967 | − | 1.38547i | ||||
\(886\) | 17.2369 | − | 5.11206i | 0.579086 | − | 0.171743i | ||||
\(887\) | 30.8381 | + | 30.8381i | 1.03544 | + | 1.03544i | 0.999348 | + | 0.0360936i | \(0.0114914\pi\) |
0.0360936 | + | 0.999348i | \(0.488509\pi\) | |||||||
\(888\) | −32.2967 | − | 10.7660i | −1.08381 | − | 0.361284i | ||||
\(889\) | 7.31853 | + | 17.5664i | 0.245456 | + | 0.589159i | ||||
\(890\) | 10.4843 | + | 5.68798i | 0.351434 | + | 0.190662i | ||||
\(891\) | −20.5735 | + | 7.70370i | −0.689237 | + | 0.258084i | ||||
\(892\) | −8.66046 | + | 40.8781i | −0.289974 | + | 1.36870i | ||||
\(893\) | −5.48309 | + | 13.2374i | −0.183485 | + | 0.442971i | ||||
\(894\) | 1.03925 | + | 0.117927i | 0.0347576 | + | 0.00394406i | ||||
\(895\) | 42.8373i | 1.43189i | ||||||||
\(896\) | −9.86812 | + | 28.2599i | −0.329671 | + | 0.944096i | ||||
\(897\) | −0.218486 | + | 25.3956i | −0.00729503 | + | 0.847936i | ||||
\(898\) | 0.0410006 | − | 0.391348i | 0.00136821 | − | 0.0130595i | ||||
\(899\) | −27.9970 | − | 11.5967i | −0.933751 | − | 0.386772i | ||||
\(900\) | 40.5288 | + | 9.31783i | 1.35096 | + | 0.310594i | ||||
\(901\) | 7.61828 | − | 3.15560i | 0.253802 | − | 0.105128i | ||||
\(902\) | −12.4090 | + | 22.8727i | −0.413174 | + | 0.761578i | ||||
\(903\) | −5.46952 | + | 2.22369i | −0.182014 | + | 0.0739997i | ||||
\(904\) | −12.7282 | − | 4.12160i | −0.423335 | − | 0.137082i | ||||
\(905\) | −47.1787 | + | 47.1787i | −1.56827 | + | 1.56827i | ||||
\(906\) | 45.3104 | − | 13.0150i | 1.50534 | − | 0.432393i | ||||
\(907\) | −17.1931 | + | 7.12164i | −0.570889 | + | 0.236470i | −0.649405 | − | 0.760443i | \(-0.724982\pi\) |
0.0785157 | + | 0.996913i | \(0.474982\pi\) | |||||||
\(908\) | 1.85593 | + | 1.27372i | 0.0615911 | + | 0.0422700i | ||||
\(909\) | 10.9350 | − | 25.1658i | 0.362691 | − | 0.834695i | ||||
\(910\) | −83.5559 | + | 24.9674i | −2.76985 | + | 0.827661i | ||||
\(911\) | 5.17400 | 0.171422 | 0.0857111 | − | 0.996320i | \(-0.472684\pi\) | ||||
0.0857111 | + | 0.996320i | \(0.472684\pi\) | |||||||
\(912\) | 10.9153 | − | 4.09920i | 0.361443 | − | 0.135738i | ||||
\(913\) | −6.60610 | −0.218630 | ||||||||
\(914\) | −19.1131 | − | 23.5867i | −0.632206 | − | 0.780178i | ||||
\(915\) | 23.2827 | − | 54.8695i | 0.769703 | − | 1.81393i | ||||
\(916\) | 39.5006 | − | 7.34822i | 1.30514 | − | 0.242792i | ||||
\(917\) | 0.0709146 | + | 34.5430i | 0.00234181 | + | 1.14071i | ||||
\(918\) | −11.1422 | − | 41.4665i | −0.367747 | − | 1.36860i | ||||
\(919\) | −20.4634 | − | 20.4634i | −0.675024 | − | 0.675024i | 0.283846 | − | 0.958870i | \(-0.408389\pi\) |
−0.958870 | + | 0.283846i | \(0.908389\pi\) | |||||||
\(920\) | −16.1573 | − | 13.7717i | −0.532690 | − | 0.454041i | ||||
\(921\) | −0.389153 | + | 0.382514i | −0.0128230 | + | 0.0126043i | ||||
\(922\) | −7.99943 | + | 14.7448i | −0.263447 | + | 0.485595i | ||||
\(923\) | −20.1998 | − | 48.7667i | −0.664886 | − | 1.60518i | ||||
\(924\) | 3.94740 | + | 22.0206i | 0.129860 | + | 0.724425i | ||||
\(925\) | 44.4986 | + | 18.4319i | 1.46310 | + | 0.606038i | ||||
\(926\) | 5.01199 | − | 47.8392i | 0.164704 | − | 1.57209i | ||||
\(927\) | 0.142497 | − | 8.28091i | 0.00468020 | − | 0.271981i | ||||
\(928\) | 30.4982 | − | 23.4829i | 1.00115 | − | 0.770863i | ||||
\(929\) | 55.9138 | 1.83447 | 0.917235 | − | 0.398345i | \(-0.130415\pi\) | ||||
0.917235 | + | 0.398345i | \(0.130415\pi\) | |||||||
\(930\) | −4.24851 | + | 37.4407i | −0.139314 | + | 1.22773i | ||||
\(931\) | 10.8652 | − | 4.55285i | 0.356091 | − | 0.149214i | ||||
\(932\) | 28.3245 | − | 18.4210i | 0.927799 | − | 0.603399i | ||||
\(933\) | −41.3283 | + | 16.7037i | −1.35303 | + | 0.546853i | ||||
\(934\) | −22.4720 | + | 41.4213i | −0.735308 | + | 1.35534i | ||||
\(935\) | −34.8353 | − | 34.8353i | −1.13924 | − | 1.13924i | ||||
\(936\) | 3.56654 | + | 57.1436i | 0.116576 | + | 1.86780i | ||||
\(937\) | 9.69697 | − | 9.69697i | 0.316786 | − | 0.316786i | −0.530745 | − | 0.847531i | \(-0.678088\pi\) |
0.847531 | + | 0.530745i | \(0.178088\pi\) | |||||||
\(938\) | 1.27839 | − | 12.4487i | 0.0417409 | − | 0.406465i | ||||
\(939\) | 3.28356 | − | 1.32711i | 0.107155 | − | 0.0433088i | ||||
\(940\) | 57.8231 | − | 10.7567i | 1.88598 | − | 0.350845i | ||||
\(941\) | 8.05009 | − | 19.4346i | 0.262425 | − | 0.633551i | −0.736662 | − | 0.676261i | \(-0.763599\pi\) |
0.999088 | + | 0.0427100i | \(0.0135992\pi\) | |||||||
\(942\) | 16.8517 | + | 21.1656i | 0.549057 | + | 0.689612i | ||||
\(943\) | −16.3809 | −0.533434 | ||||||||
\(944\) | −0.738461 | + | 29.7134i | −0.0240349 | + | 0.967089i | ||||
\(945\) | 19.2093 | − | 43.4277i | 0.624878 | − | 1.41270i | ||||
\(946\) | 2.80014 | + | 3.45553i | 0.0910404 | + | 0.112349i | ||||
\(947\) | 17.4915 | + | 7.24522i | 0.568398 | + | 0.235438i | 0.648326 | − | 0.761363i | \(-0.275469\pi\) |
−0.0799287 | + | 0.996801i | \(0.525469\pi\) | |||||||
\(948\) | −11.5317 | − | 8.06099i | −0.374531 | − | 0.261809i | ||||
\(949\) | 57.3865 | − | 23.7703i | 1.86284 | − | 0.771615i | ||||
\(950\) | −15.8151 | + | 4.69038i | −0.513110 | + | 0.152176i | ||||
\(951\) | 25.1175 | + | 25.5534i | 0.814490 | + | 0.828626i | ||||
\(952\) | −43.5798 | + | 3.56367i | −1.41243 | + | 0.115499i | ||||
\(953\) | −24.7395 | − | 24.7395i | −0.801391 | − | 0.801391i | 0.181922 | − | 0.983313i | \(-0.441768\pi\) |
−0.983313 | + | 0.181922i | \(0.941768\pi\) | |||||||
\(954\) | 2.94532 | − | 5.21290i | 0.0953584 | − | 0.168774i | ||||
\(955\) | 72.3247 | − | 29.9579i | 2.34037 | − | 0.969414i | ||||
\(956\) | −23.4791 | − | 4.97429i | −0.759368 | − | 0.160880i | ||||
\(957\) | 11.2372 | − | 26.4823i | 0.363247 | − | 0.856051i | ||||
\(958\) | 29.4496 | + | 3.08536i | 0.951473 | + | 0.0996835i | ||||
\(959\) | −50.7285 | − | 20.8905i | −1.63811 | − | 0.674591i | ||||
\(960\) | −38.5344 | − | 28.3876i | −1.24369 | − | 0.916206i | ||||
\(961\) | 11.1658 | 0.360187 | ||||||||
\(962\) | −6.90956 | + | 65.9514i | −0.222773 | + | 2.12636i | ||||
\(963\) | −4.18019 | + | 9.62028i | −0.134705 | + | 0.310009i | ||||
\(964\) | 38.5701 | + | 8.17149i | 1.24226 | + | 0.263186i | ||||
\(965\) | 7.72036 | + | 18.6386i | 0.248527 | + | 0.599998i | ||||
\(966\) | −10.9994 | + | 8.79447i | −0.353900 | + | 0.282958i | ||||
\(967\) | 1.55319 | − | 1.55319i | 0.0499472 | − | 0.0499472i | −0.681692 | − | 0.731639i | \(-0.738756\pi\) |
0.731639 | + | 0.681692i | \(0.238756\pi\) | |||||||
\(968\) | −12.6996 | + | 6.48675i | −0.408180 | + | 0.208492i | ||||
\(969\) | 11.9394 | + | 12.1466i | 0.383548 | + | 0.390204i | ||||
\(970\) | −0.663268 | + | 0.196709i | −0.0212963 | + | 0.00631596i | ||||
\(971\) | −25.0709 | + | 10.3847i | −0.804564 | + | 0.333261i | −0.746783 | − | 0.665068i | \(-0.768403\pi\) |
−0.0577814 | + | 0.998329i | \(0.518403\pi\) | |||||||
\(972\) | −24.9231 | − | 18.7308i | −0.799408 | − | 0.600789i | ||||
\(973\) | −14.7973 | + | 14.8581i | −0.474378 | + | 0.476330i | ||||
\(974\) | −25.0996 | + | 20.3391i | −0.804244 | + | 0.651707i | ||||
\(975\) | 0.696869 | − | 81.0004i | 0.0223177 | − | 2.59409i | ||||
\(976\) | −28.8706 | + | 27.4703i | −0.924124 | + | 0.879304i | ||||
\(977\) | −21.9870 | −0.703426 | −0.351713 | − | 0.936108i | \(-0.614401\pi\) | ||||
−0.351713 | + | 0.936108i | \(0.614401\pi\) | |||||||
\(978\) | 41.0567 | − | 32.6886i | 1.31285 | − | 1.04527i | ||||
\(979\) | −5.50657 | − | 2.28090i | −0.175991 | − | 0.0728978i | ||||
\(980\) | −39.9832 | − | 27.1997i | −1.27722 | − | 0.868862i | ||||
\(981\) | −6.52610 | + | 2.57256i | −0.208362 | + | 0.0821356i | ||||
\(982\) | −8.48155 | − | 28.5983i | −0.270657 | − | 0.912607i | ||||
\(983\) | −36.3877 | − | 36.3877i | −1.16059 | − | 1.16059i | −0.984347 | − | 0.176241i | \(-0.943606\pi\) |
−0.176241 | − | 0.984347i | \(-0.556394\pi\) | |||||||
\(984\) | −36.8366 | + | 2.61743i | −1.17431 | + | 0.0834406i | ||||
\(985\) | −17.4675 | − | 17.4675i | −0.556561 | − | 0.556561i | ||||
\(986\) | 49.4218 | + | 26.8125i | 1.57391 | + | 0.853885i | ||||
\(987\) | 0.255551 | − | 39.0140i | 0.00813427 | − | 1.24183i | ||||
\(988\) | −12.3821 | − | 19.0390i | −0.393928 | − | 0.605712i | ||||
\(989\) | −1.07143 | + | 2.58667i | −0.0340696 | + | 0.0822513i | ||||
\(990\) | −35.5070 | − | 4.33880i | −1.12849 | − | 0.137896i | ||||
\(991\) | 41.2828 | 1.31139 | 0.655695 | − | 0.755026i | \(-0.272376\pi\) | ||||
0.655695 | + | 0.755026i | \(0.272376\pi\) | |||||||
\(992\) | 12.5602 | − | 21.8388i | 0.398787 | − | 0.693384i | ||||
\(993\) | −0.0218882 | + | 2.54417i | −0.000694601 | + | 0.0807368i | ||||
\(994\) | 13.9052 | − | 25.7565i | 0.441045 | − | 0.816946i | ||||
\(995\) | 1.16348 | − | 2.80890i | 0.0368849 | − | 0.0890481i | ||||
\(996\) | −5.04351 | − | 7.90294i | −0.159810 | − | 0.250414i | ||||
\(997\) | −3.47876 | + | 1.44095i | −0.110174 | + | 0.0456354i | −0.437089 | − | 0.899418i | \(-0.643991\pi\) |
0.326916 | + | 0.945053i | \(0.393991\pi\) | |||||||
\(998\) | −11.4795 | + | 21.1594i | −0.363377 | + | 0.669789i | ||||
\(999\) | −24.8655 | − | 26.1833i | −0.786710 | − | 0.828404i |
(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 | 672.2.bo.a.125.3 | ✓ | 496 | |
3.2 | odd | 2 | inner | 672.2.bo.a.125.121 | yes | 496 | |
7.6 | odd | 2 | inner | 672.2.bo.a.125.4 | yes | 496 | |
21.20 | even | 2 | inner | 672.2.bo.a.125.122 | yes | 496 | |
32.21 | even | 8 | inner | 672.2.bo.a.629.122 | yes | 496 | |
96.53 | odd | 8 | inner | 672.2.bo.a.629.4 | yes | 496 | |
224.181 | odd | 8 | inner | 672.2.bo.a.629.121 | yes | 496 | |
672.629 | even | 8 | inner | 672.2.bo.a.629.3 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bo.a.125.3 | ✓ | 496 | 1.1 | even | 1 | trivial | |
672.2.bo.a.125.4 | yes | 496 | 7.6 | odd | 2 | inner | |
672.2.bo.a.125.121 | yes | 496 | 3.2 | odd | 2 | inner | |
672.2.bo.a.125.122 | yes | 496 | 21.20 | even | 2 | inner | |
672.2.bo.a.629.3 | yes | 496 | 672.629 | even | 8 | inner | |
672.2.bo.a.629.4 | yes | 496 | 96.53 | odd | 8 | inner | |
672.2.bo.a.629.121 | yes | 496 | 224.181 | odd | 8 | inner | |
672.2.bo.a.629.122 | yes | 496 | 32.21 | even | 8 | inner |