Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 293.24 | ||
Character | \(\chi\) | \(=\) | 378.293 |
Dual form | 378.2.z.a.209.24 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | − | 0.939693i | 0.241845 | − | 0.664463i | ||||
\(3\) | 1.73170 | − | 0.0346644i | 0.999800 | − | 0.0200135i | ||||
\(4\) | −0.766044 | − | 0.642788i | −0.383022 | − | 0.321394i | ||||
\(5\) | 0.123924 | − | 0.702807i | 0.0554204 | − | 0.314305i | −0.944478 | − | 0.328575i | \(-0.893431\pi\) |
0.999898 | + | 0.0142705i | \(0.00454260\pi\) | |||||||
\(6\) | 0.559704 | − | 1.63913i | 0.228498 | − | 0.669170i | ||||
\(7\) | −0.723982 | − | 2.54477i | −0.273639 | − | 0.961832i | ||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 2.99760 | − | 0.120057i | 0.999199 | − | 0.0400190i | ||||
\(10\) | −0.618038 | − | 0.356825i | −0.195441 | − | 0.112838i | ||||
\(11\) | 0.807149 | − | 0.142322i | 0.243365 | − | 0.0429118i | −0.0506352 | − | 0.998717i | \(-0.516125\pi\) |
0.294000 | + | 0.955805i | \(0.405013\pi\) | |||||||
\(12\) | −1.34884 | − | 1.08656i | −0.389378 | − | 0.313664i | ||||
\(13\) | −0.0818071 | − | 0.224763i | −0.0226892 | − | 0.0623381i | 0.927831 | − | 0.373001i | \(-0.121671\pi\) |
−0.950520 | + | 0.310663i | \(0.899449\pi\) | |||||||
\(14\) | −2.63892 | − | 0.190042i | −0.705280 | − | 0.0507908i | ||||
\(15\) | 0.190237 | − | 1.22135i | 0.0491190 | − | 0.315351i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 0.0369568 | − | 0.0640110i | 0.00896333 | − | 0.0155250i | −0.861509 | − | 0.507742i | \(-0.830480\pi\) |
0.870472 | + | 0.492217i | \(0.163814\pi\) | |||||||
\(18\) | 0.912422 | − | 2.85788i | 0.215060 | − | 0.673609i | ||||
\(19\) | −4.97230 | + | 2.87076i | −1.14072 | + | 0.658597i | −0.946610 | − | 0.322382i | \(-0.895517\pi\) |
−0.194114 | + | 0.980979i | \(0.562183\pi\) | |||||||
\(20\) | −0.546687 | + | 0.458725i | −0.122243 | + | 0.102574i | ||||
\(21\) | −1.34194 | − | 4.38169i | −0.292834 | − | 0.956163i | ||||
\(22\) | 0.142322 | − | 0.807149i | 0.0303432 | − | 0.172085i | ||||
\(23\) | 4.92229 | − | 5.86616i | 1.02637 | − | 1.22318i | 0.0518999 | − | 0.998652i | \(-0.483472\pi\) |
0.974468 | − | 0.224526i | \(-0.0720832\pi\) | |||||||
\(24\) | −1.48237 | + | 0.895872i | −0.302587 | + | 0.182869i | ||||
\(25\) | 4.21988 | + | 1.53591i | 0.843976 | + | 0.307182i | ||||
\(26\) | −0.239188 | −0.0469086 | ||||||||
\(27\) | 5.18679 | − | 0.311813i | 0.998198 | − | 0.0600085i | ||||
\(28\) | −1.08114 | + | 2.41477i | −0.204317 | + | 0.456349i | ||||
\(29\) | −1.00010 | + | 2.74775i | −0.185714 | + | 0.510244i | −0.997254 | − | 0.0740516i | \(-0.976407\pi\) |
0.811541 | + | 0.584296i | \(0.198629\pi\) | |||||||
\(30\) | −1.08263 | − | 0.596490i | −0.197660 | − | 0.108904i | ||||
\(31\) | −4.50788 | + | 5.37228i | −0.809639 | + | 0.964890i | −0.999858 | − | 0.0168514i | \(-0.994636\pi\) |
0.190219 | + | 0.981742i | \(0.439080\pi\) | |||||||
\(32\) | 0.984808 | + | 0.173648i | 0.174091 | + | 0.0306970i | ||||
\(33\) | 1.39281 | − | 0.274439i | 0.242457 | − | 0.0477737i | ||||
\(34\) | −0.0475107 | − | 0.0566211i | −0.00814802 | − | 0.00971043i | ||||
\(35\) | −1.87820 | + | 0.193462i | −0.317474 | + | 0.0327011i | ||||
\(36\) | −2.37346 | − | 1.83485i | −0.395577 | − | 0.305808i | ||||
\(37\) | −1.15373 | + | 1.99833i | −0.189673 | + | 0.328523i | −0.945141 | − | 0.326662i | \(-0.894076\pi\) |
0.755468 | + | 0.655185i | \(0.227409\pi\) | |||||||
\(38\) | 0.997004 | + | 5.65429i | 0.161735 | + | 0.917247i | ||||
\(39\) | −0.149457 | − | 0.386387i | −0.0239323 | − | 0.0618715i | ||||
\(40\) | 0.244082 | + | 0.670611i | 0.0385928 | + | 0.106033i | ||||
\(41\) | 5.82390 | − | 2.11973i | 0.909541 | − | 0.331046i | 0.155471 | − | 0.987840i | \(-0.450310\pi\) |
0.754069 | + | 0.656795i | \(0.228088\pi\) | |||||||
\(42\) | −4.57641 | − | 0.237619i | −0.706156 | − | 0.0366655i | ||||
\(43\) | 0.999047 | + | 5.66588i | 0.152353 | + | 0.864038i | 0.961166 | + | 0.275972i | \(0.0889995\pi\) |
−0.808813 | + | 0.588066i | \(0.799889\pi\) | |||||||
\(44\) | −0.709795 | − | 0.409800i | −0.107006 | − | 0.0617797i | ||||
\(45\) | 0.287097 | − | 2.12161i | 0.0427979 | − | 0.316271i | ||||
\(46\) | −3.82886 | − | 6.63178i | −0.564535 | − | 0.977803i | ||||
\(47\) | 2.97002 | − | 2.49214i | 0.433222 | − | 0.363516i | −0.399944 | − | 0.916540i | \(-0.630970\pi\) |
0.833166 | + | 0.553023i | \(0.186526\pi\) | |||||||
\(48\) | 0.334845 | + | 1.69938i | 0.0483307 | + | 0.245284i | ||||
\(49\) | −5.95170 | + | 3.68473i | −0.850243 | + | 0.526391i | ||||
\(50\) | 2.88657 | − | 3.44008i | 0.408223 | − | 0.486501i | ||||
\(51\) | 0.0617793 | − | 0.112129i | 0.00865083 | − | 0.0157012i | ||||
\(52\) | −0.0818071 | + | 0.224763i | −0.0113446 | + | 0.0311690i | ||||
\(53\) | 7.28847i | 1.00115i | 0.865694 | + | 0.500574i | \(0.166878\pi\) | ||||
−0.865694 | + | 0.500574i | \(0.833122\pi\) | |||||||
\(54\) | 1.48098 | − | 4.98063i | 0.201536 | − | 0.677778i | ||||
\(55\) | − | 0.584907i | − | 0.0788689i | ||||||
\(56\) | 1.89937 | + | 1.84184i | 0.253814 | + | 0.246127i | ||||
\(57\) | −8.51104 | + | 5.14367i | −1.12731 | + | 0.681295i | ||||
\(58\) | 2.23999 | + | 1.87957i | 0.294125 | + | 0.246800i | ||||
\(59\) | −0.769763 | + | 4.36554i | −0.100215 | + | 0.568345i | 0.892810 | + | 0.450434i | \(0.148731\pi\) |
−0.993024 | + | 0.117911i | \(0.962380\pi\) | |||||||
\(60\) | −0.930798 | + | 0.813326i | −0.120166 | + | 0.105000i | ||||
\(61\) | −3.92470 | − | 4.67727i | −0.502506 | − | 0.598863i | 0.453846 | − | 0.891080i | \(-0.350052\pi\) |
−0.956352 | + | 0.292217i | \(0.905607\pi\) | |||||||
\(62\) | 3.50651 | + | 6.07345i | 0.445327 | + | 0.771329i | ||||
\(63\) | −2.47572 | − | 7.54127i | −0.311912 | − | 0.950111i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −0.168103 | + | 0.0296411i | −0.0208506 | + | 0.00367652i | ||||
\(66\) | 0.218481 | − | 1.40268i | 0.0268931 | − | 0.172658i | ||||
\(67\) | −8.29797 | + | 3.02022i | −1.01376 | + | 0.368978i | −0.794875 | − | 0.606773i | \(-0.792464\pi\) |
−0.218884 | + | 0.975751i | \(0.570241\pi\) | |||||||
\(68\) | −0.0694560 | + | 0.0252799i | −0.00842278 | + | 0.00306564i | ||||
\(69\) | 8.32060 | − | 10.3291i | 1.00168 | − | 1.24347i | ||||
\(70\) | −0.460587 | + | 1.83110i | −0.0550507 | + | 0.218858i | ||||
\(71\) | −8.38698 | − | 4.84222i | −0.995351 | − | 0.574666i | −0.0884814 | − | 0.996078i | \(-0.528201\pi\) |
−0.906869 | + | 0.421412i | \(0.861535\pi\) | |||||||
\(72\) | −2.53597 | + | 1.60277i | −0.298867 | + | 0.188888i | ||||
\(73\) | −7.78125 | + | 4.49250i | −0.910726 | + | 0.525808i | −0.880665 | − | 0.473740i | \(-0.842904\pi\) |
−0.0300613 | + | 0.999548i | \(0.509570\pi\) | |||||||
\(74\) | 1.48321 | + | 1.76762i | 0.172420 | + | 0.205482i | ||||
\(75\) | 7.36083 | + | 2.51346i | 0.849955 | + | 0.290230i | ||||
\(76\) | 5.65429 | + | 0.997004i | 0.648592 | + | 0.114364i | ||||
\(77\) | −0.946539 | − | 1.95097i | −0.107868 | − | 0.222334i | ||||
\(78\) | −0.414203 | + | 0.00829131i | −0.0468992 | + | 0.000938806i | ||||
\(79\) | 10.5210 | + | 3.82935i | 1.18371 | + | 0.430835i | 0.857511 | − | 0.514466i | \(-0.172010\pi\) |
0.326199 | + | 0.945301i | \(0.394232\pi\) | |||||||
\(80\) | 0.713649 | 0.0797884 | ||||||||
\(81\) | 8.97117 | − | 0.719765i | 0.996797 | − | 0.0799739i | ||||
\(82\) | − | 6.19767i | − | 0.684418i | ||||||
\(83\) | 7.13153 | + | 2.59567i | 0.782787 | + | 0.284911i | 0.702334 | − | 0.711847i | \(-0.252141\pi\) |
0.0804529 | + | 0.996758i | \(0.474363\pi\) | |||||||
\(84\) | −1.78851 | + | 4.21915i | −0.195143 | + | 0.460347i | ||||
\(85\) | −0.0404076 | − | 0.0339060i | −0.00438282 | − | 0.00367762i | ||||
\(86\) | 5.66588 | + | 0.999047i | 0.610967 | + | 0.107730i | ||||
\(87\) | −1.63663 | + | 4.79296i | −0.175465 | + | 0.513859i | ||||
\(88\) | −0.627851 | + | 0.526829i | −0.0669291 | + | 0.0561602i | ||||
\(89\) | 6.93011 | + | 12.0033i | 0.734590 | + | 1.27235i | 0.954903 | + | 0.296918i | \(0.0959588\pi\) |
−0.220313 | + | 0.975429i | \(0.570708\pi\) | |||||||
\(90\) | −1.89547 | − | 0.995416i | −0.199800 | − | 0.104926i | ||||
\(91\) | −0.512743 | + | 0.370905i | −0.0537501 | + | 0.0388814i | ||||
\(92\) | −7.54138 | + | 1.32975i | −0.786244 | + | 0.138636i | ||||
\(93\) | −7.62009 | + | 9.45946i | −0.790166 | + | 0.980901i | ||||
\(94\) | −1.32604 | − | 3.64327i | −0.136771 | − | 0.375774i | ||||
\(95\) | 1.40140 | + | 3.85032i | 0.143781 | + | 0.395035i | ||||
\(96\) | 1.71141 | + | 0.266569i | 0.174671 | + | 0.0272066i | ||||
\(97\) | 7.73109 | − | 1.36320i | 0.784974 | − | 0.138412i | 0.233225 | − | 0.972423i | \(-0.425072\pi\) |
0.551748 | + | 0.834011i | \(0.313961\pi\) | |||||||
\(98\) | 1.42692 | + | 6.85302i | 0.144140 | + | 0.692260i | ||||
\(99\) | 2.40242 | − | 0.523529i | 0.241452 | − | 0.0526166i | ||||
\(100\) | −2.24535 | − | 3.88906i | −0.224535 | − | 0.388906i | ||||
\(101\) | 0.0420314 | − | 0.0352686i | 0.00418228 | − | 0.00350935i | −0.640694 | − | 0.767796i | \(-0.721353\pi\) |
0.644876 | + | 0.764287i | \(0.276909\pi\) | |||||||
\(102\) | −0.0842372 | − | 0.0964040i | −0.00834073 | − | 0.00954542i | ||||
\(103\) | −0.312100 | − | 0.0550316i | −0.0307521 | − | 0.00542242i | 0.158251 | − | 0.987399i | \(-0.449414\pi\) |
−0.189003 | + | 0.981976i | \(0.560526\pi\) | |||||||
\(104\) | 0.183229 | + | 0.153747i | 0.0179670 | + | 0.0150761i | ||||
\(105\) | −3.24578 | + | 0.400126i | −0.316756 | + | 0.0390483i | ||||
\(106\) | 6.84892 | + | 2.49280i | 0.665226 | + | 0.242122i | ||||
\(107\) | − | 15.0949i | − | 1.45928i | −0.683833 | − | 0.729639i | \(-0.739688\pi\) | ||
0.683833 | − | 0.729639i | \(-0.260312\pi\) | |||||||
\(108\) | −4.17374 | − | 3.09514i | −0.401618 | − | 0.297830i | ||||
\(109\) | −8.46269 | −0.810579 | −0.405289 | − | 0.914188i | \(-0.632829\pi\) | ||||
−0.405289 | + | 0.914188i | \(0.632829\pi\) | |||||||
\(110\) | −0.549633 | − | 0.200050i | −0.0524055 | − | 0.0190740i | ||||
\(111\) | −1.92866 | + | 3.50050i | −0.183060 | + | 0.332253i | ||||
\(112\) | 2.38039 | − | 1.15488i | 0.224926 | − | 0.109126i | ||||
\(113\) | 11.1355 | + | 1.96349i | 1.04754 | + | 0.184709i | 0.670821 | − | 0.741619i | \(-0.265942\pi\) |
0.376717 | + | 0.926328i | \(0.377053\pi\) | |||||||
\(114\) | 1.92252 | + | 9.75700i | 0.180060 | + | 0.913827i | ||||
\(115\) | −3.51279 | − | 4.18638i | −0.327569 | − | 0.390382i | ||||
\(116\) | 2.53234 | − | 1.46205i | 0.235122 | − | 0.135748i | ||||
\(117\) | −0.272209 | − | 0.663928i | −0.0251657 | − | 0.0613801i | ||||
\(118\) | 3.83899 | + | 2.21644i | 0.353408 | + | 0.204040i | ||||
\(119\) | −0.189649 | − | 0.0477036i | −0.0173851 | − | 0.00437299i | ||||
\(120\) | 0.445925 | + | 1.15284i | 0.0407072 | + | 0.105239i | ||||
\(121\) | −9.70538 | + | 3.53247i | −0.882308 | + | 0.321134i | ||||
\(122\) | −5.73752 | + | 2.08829i | −0.519451 | + | 0.189065i | ||||
\(123\) | 10.0118 | − | 3.87262i | 0.902733 | − | 0.349183i | ||||
\(124\) | 6.90647 | − | 1.21780i | 0.620220 | − | 0.109361i | ||||
\(125\) | 3.38652 | − | 5.86562i | 0.302899 | − | 0.524637i | ||||
\(126\) | −7.93323 | − | 0.252848i | −0.706748 | − | 0.0225255i | ||||
\(127\) | −5.31178 | − | 9.20028i | −0.471345 | − | 0.816393i | 0.528118 | − | 0.849171i | \(-0.322898\pi\) |
−0.999463 | + | 0.0327782i | \(0.989565\pi\) | |||||||
\(128\) | −0.642788 | − | 0.766044i | −0.0568149 | − | 0.0677094i | ||||
\(129\) | 1.92646 | + | 9.77699i | 0.169615 | + | 0.860816i | ||||
\(130\) | −0.0296411 | + | 0.168103i | −0.00259969 | + | 0.0147436i | ||||
\(131\) | −7.98492 | − | 6.70014i | −0.697645 | − | 0.585394i | 0.223457 | − | 0.974714i | \(-0.428266\pi\) |
−0.921103 | + | 0.389320i | \(0.872710\pi\) | |||||||
\(132\) | −1.24336 | − | 0.685048i | −0.108221 | − | 0.0596258i | ||||
\(133\) | 10.9053 | + | 10.5750i | 0.945607 | + | 0.916967i | ||||
\(134\) | 8.83052i | 0.762841i | ||||||||
\(135\) | 0.423622 | − | 3.68395i | 0.0364596 | − | 0.317064i | ||||
\(136\) | 0.0739136i | 0.00633803i | ||||||||
\(137\) | −7.65157 | + | 21.0225i | −0.653718 | + | 1.79608i | −0.0501815 | + | 0.998740i | \(0.515980\pi\) |
−0.603537 | + | 0.797335i | \(0.706242\pi\) | |||||||
\(138\) | −6.86034 | − | 11.3516i | −0.583991 | − | 0.966309i | ||||
\(139\) | −4.22587 | + | 5.03620i | −0.358434 | + | 0.427165i | −0.914884 | − | 0.403716i | \(-0.867718\pi\) |
0.556451 | + | 0.830881i | \(0.312163\pi\) | |||||||
\(140\) | 1.56314 | + | 1.05908i | 0.132109 | + | 0.0895089i | ||||
\(141\) | 5.05681 | − | 4.41861i | 0.425860 | − | 0.372114i | ||||
\(142\) | −7.41872 | + | 6.22504i | −0.622565 | + | 0.522394i | ||||
\(143\) | −0.0980193 | − | 0.169774i | −0.00819679 | − | 0.0141972i | ||||
\(144\) | 0.638760 | + | 2.93121i | 0.0532300 | + | 0.244267i | ||||
\(145\) | 1.80720 | + | 1.04339i | 0.150080 | + | 0.0866487i | ||||
\(146\) | 1.56023 | + | 8.84851i | 0.129126 | + | 0.732308i | ||||
\(147\) | −10.1789 | + | 6.58718i | −0.839538 | + | 0.543302i | ||||
\(148\) | 2.16831 | − | 0.789201i | 0.178234 | − | 0.0648719i | ||||
\(149\) | −2.68205 | − | 7.36888i | −0.219722 | − | 0.603682i | 0.780035 | − | 0.625736i | \(-0.215201\pi\) |
−0.999757 | + | 0.0220546i | \(0.992979\pi\) | |||||||
\(150\) | 4.87944 | − | 6.05726i | 0.398404 | − | 0.494573i | ||||
\(151\) | −1.80027 | − | 10.2098i | −0.146504 | − | 0.830864i | −0.966147 | − | 0.257990i | \(-0.916940\pi\) |
0.819644 | − | 0.572874i | \(-0.194171\pi\) | |||||||
\(152\) | 2.87076 | − | 4.97230i | 0.232849 | − | 0.403307i | ||||
\(153\) | 0.103097 | − | 0.196316i | 0.00833486 | − | 0.0158712i | ||||
\(154\) | −2.15705 | + | 0.222184i | −0.173820 | + | 0.0179041i | ||||
\(155\) | 3.21704 | + | 3.83392i | 0.258399 | + | 0.307948i | ||||
\(156\) | −0.133874 | + | 0.392059i | −0.0107185 | + | 0.0313898i | ||||
\(157\) | 15.5020 | + | 2.73342i | 1.23719 | + | 0.218151i | 0.753713 | − | 0.657204i | \(-0.228261\pi\) |
0.483481 | + | 0.875355i | \(0.339372\pi\) | |||||||
\(158\) | 7.19682 | − | 8.57684i | 0.572548 | − | 0.682337i | ||||
\(159\) | 0.252651 | + | 12.6215i | 0.0200365 | + | 1.00095i | ||||
\(160\) | 0.244082 | − | 0.670611i | 0.0192964 | − | 0.0530164i | ||||
\(161\) | −18.4917 | − | 8.27910i | −1.45735 | − | 0.652484i | ||||
\(162\) | 2.39196 | − | 8.67632i | 0.187930 | − | 0.681676i | ||||
\(163\) | −10.4617 | −0.819422 | −0.409711 | − | 0.912215i | \(-0.634370\pi\) | ||||
−0.409711 | + | 0.912215i | \(0.634370\pi\) | |||||||
\(164\) | −5.82390 | − | 2.11973i | −0.454770 | − | 0.165523i | ||||
\(165\) | −0.0202755 | − | 1.01289i | −0.00157844 | − | 0.0788531i | ||||
\(166\) | 4.87826 | − | 5.81368i | 0.378626 | − | 0.451229i | ||||
\(167\) | 2.39819 | − | 13.6008i | 0.185578 | − | 1.05246i | −0.739634 | − | 0.673010i | \(-0.765001\pi\) |
0.925211 | − | 0.379453i | \(-0.123888\pi\) | |||||||
\(168\) | 3.35300 | + | 3.12369i | 0.258689 | + | 0.240998i | ||||
\(169\) | 9.91475 | − | 8.31946i | 0.762673 | − | 0.639959i | ||||
\(170\) | −0.0456814 | + | 0.0263742i | −0.00350360 | + | 0.00202281i | ||||
\(171\) | −14.5603 | + | 9.20234i | −1.11345 | + | 0.703720i | ||||
\(172\) | 2.87664 | − | 4.98249i | 0.219342 | − | 0.379911i | ||||
\(173\) | −0.451385 | − | 2.55993i | −0.0343182 | − | 0.194628i | 0.962829 | − | 0.270112i | \(-0.0870609\pi\) |
−0.997147 | + | 0.0754842i | \(0.975950\pi\) | |||||||
\(174\) | 3.94415 | + | 3.17721i | 0.299005 | + | 0.240864i | ||||
\(175\) | 0.853421 | − | 11.8506i | 0.0645126 | − | 0.895821i | ||||
\(176\) | 0.280320 | + | 0.770173i | 0.0211299 | + | 0.0580540i | ||||
\(177\) | −1.18167 | + | 7.58651i | −0.0888200 | + | 0.570237i | ||||
\(178\) | 13.6496 | − | 2.40680i | 1.02308 | − | 0.180397i | ||||
\(179\) | −18.7909 | − | 10.8489i | −1.40450 | − | 0.810887i | −0.409648 | − | 0.912244i | \(-0.634348\pi\) |
−0.994850 | + | 0.101356i | \(0.967682\pi\) | |||||||
\(180\) | −1.58367 | + | 1.44071i | −0.118040 | + | 0.107384i | ||||
\(181\) | 18.3629 | − | 10.6018i | 1.36491 | − | 0.788029i | 0.374634 | − | 0.927173i | \(-0.377768\pi\) |
0.990272 | + | 0.139144i | \(0.0444352\pi\) | |||||||
\(182\) | 0.173168 | + | 0.608678i | 0.0128360 | + | 0.0451182i | ||||
\(183\) | −6.95855 | − | 7.96360i | −0.514390 | − | 0.588686i | ||||
\(184\) | −1.32975 | + | 7.54138i | −0.0980304 | + | 0.555958i | ||||
\(185\) | 1.26146 | + | 1.05849i | 0.0927446 | + | 0.0778220i | ||||
\(186\) | 6.28277 | + | 10.3959i | 0.460675 | + | 0.762262i | ||||
\(187\) | 0.0207194 | − | 0.0569262i | 0.00151516 | − | 0.00416286i | ||||
\(188\) | −3.87709 | −0.282766 | ||||||||
\(189\) | −4.54863 | − | 12.9734i | −0.330864 | − | 0.943678i | ||||
\(190\) | 4.09743 | 0.297259 | ||||||||
\(191\) | 4.97735 | − | 13.6752i | 0.360149 | − | 0.989500i | −0.618828 | − | 0.785527i | \(-0.712392\pi\) |
0.978976 | − | 0.203974i | \(-0.0653857\pi\) | |||||||
\(192\) | 0.835832 | − | 1.51703i | 0.0603210 | − | 0.109482i | ||||
\(193\) | −14.1457 | − | 11.8697i | −1.01823 | − | 0.854397i | −0.0288263 | − | 0.999584i | \(-0.509177\pi\) |
−0.989404 | + | 0.145188i | \(0.953621\pi\) | |||||||
\(194\) | 1.36320 | − | 7.73109i | 0.0978721 | − | 0.555060i | ||||
\(195\) | −0.290077 | + | 0.0571568i | −0.0207728 | + | 0.00409308i | ||||
\(196\) | 6.92777 | + | 1.00301i | 0.494841 | + | 0.0716435i | ||||
\(197\) | −2.35315 | + | 1.35859i | −0.167655 | + | 0.0967956i | −0.581480 | − | 0.813561i | \(-0.697526\pi\) |
0.413825 | + | 0.910357i | \(0.364193\pi\) | |||||||
\(198\) | 0.329721 | − | 2.43660i | 0.0234322 | − | 0.173161i | ||||
\(199\) | −15.0034 | − | 8.66222i | −1.06356 | − | 0.614049i | −0.137148 | − | 0.990551i | \(-0.543793\pi\) |
−0.926416 | + | 0.376502i | \(0.877127\pi\) | |||||||
\(200\) | −4.42248 | + | 0.779803i | −0.312717 | + | 0.0551404i | ||||
\(201\) | −14.2649 | + | 5.51776i | −1.00617 | + | 0.389193i | ||||
\(202\) | −0.0187660 | − | 0.0515592i | −0.00132037 | − | 0.00362769i | ||||
\(203\) | 7.71644 | + | 0.555700i | 0.541588 | + | 0.0390025i | ||||
\(204\) | −0.119401 | + | 0.0461850i | −0.00835974 | + | 0.00323360i | ||||
\(205\) | −0.768039 | − | 4.35576i | −0.0536422 | − | 0.304220i | ||||
\(206\) | −0.158457 | + | 0.274456i | −0.0110402 | + | 0.0191222i | ||||
\(207\) | 14.0508 | − | 18.1753i | 0.976596 | − | 1.26327i | ||||
\(208\) | 0.207143 | − | 0.119594i | 0.0143628 | − | 0.00829235i | ||||
\(209\) | −3.60482 | + | 3.02480i | −0.249350 | + | 0.209230i | ||||
\(210\) | −0.734127 | + | 3.18689i | −0.0506596 | + | 0.219916i | ||||
\(211\) | 1.06411 | − | 6.03484i | 0.0732561 | − | 0.415456i | −0.926022 | − | 0.377469i | \(-0.876794\pi\) |
0.999278 | − | 0.0379867i | \(-0.0120944\pi\) | |||||||
\(212\) | 4.68494 | − | 5.58329i | 0.321763 | − | 0.383462i | ||||
\(213\) | −14.6916 | − | 8.09457i | −1.00665 | − | 0.554630i | ||||
\(214\) | −14.1846 | − | 5.16275i | −0.969636 | − | 0.352919i | ||||
\(215\) | 4.10582 | 0.280015 | ||||||||
\(216\) | −4.33598 | + | 2.86343i | −0.295026 | + | 0.194832i | ||||
\(217\) | 16.9348 | + | 7.58208i | 1.14961 | + | 0.514705i | ||||
\(218\) | −2.89441 | + | 7.95233i | −0.196034 | + | 0.538600i | ||||
\(219\) | −13.3191 | + | 8.04942i | −0.900020 | + | 0.543929i | ||||
\(220\) | −0.375971 | + | 0.448065i | −0.0253480 | + | 0.0302085i | ||||
\(221\) | −0.0174106 | − | 0.00306997i | −0.00117117 | − | 0.000206508i | ||||
\(222\) | 2.62976 | + | 3.00959i | 0.176498 | + | 0.201990i | ||||
\(223\) | −17.4225 | − | 20.7633i | −1.16670 | − | 1.39041i | −0.905080 | − | 0.425242i | \(-0.860189\pi\) |
−0.261616 | − | 0.965172i | \(-0.584255\pi\) | |||||||
\(224\) | −0.271089 | − | 2.63183i | −0.0181129 | − | 0.175846i | ||||
\(225\) | 12.8339 | + | 4.09742i | 0.855594 | + | 0.273161i | ||||
\(226\) | 5.65364 | − | 9.79239i | 0.376074 | − | 0.651380i | ||||
\(227\) | −3.78053 | − | 21.4405i | −0.250923 | − | 1.42305i | −0.806325 | − | 0.591473i | \(-0.798547\pi\) |
0.555402 | − | 0.831582i | \(-0.312564\pi\) | |||||||
\(228\) | 9.82612 | + | 1.53051i | 0.650751 | + | 0.101361i | ||||
\(229\) | 9.37368 | + | 25.7540i | 0.619430 | + | 1.70187i | 0.708378 | + | 0.705834i | \(0.249427\pi\) |
−0.0889477 | + | 0.996036i | \(0.528350\pi\) | |||||||
\(230\) | −5.13535 | + | 1.86911i | −0.338615 | + | 0.123246i | ||||
\(231\) | −1.70675 | − | 3.34569i | −0.112296 | − | 0.220130i | ||||
\(232\) | −0.507764 | − | 2.87967i | −0.0333363 | − | 0.189060i | ||||
\(233\) | −5.02334 | − | 2.90023i | −0.329090 | − | 0.190000i | 0.326347 | − | 0.945250i | \(-0.394182\pi\) |
−0.655437 | + | 0.755250i | \(0.727515\pi\) | |||||||
\(234\) | −0.716989 | + | 0.0287162i | −0.0468710 | + | 0.00187724i | ||||
\(235\) | −1.38344 | − | 2.39619i | −0.0902456 | − | 0.156310i | ||||
\(236\) | 3.39579 | − | 2.84941i | 0.221047 | − | 0.185481i | ||||
\(237\) | 18.3521 | + | 6.26659i | 1.19210 | + | 0.407059i | ||||
\(238\) | −0.109691 | + | 0.161896i | −0.00711019 | + | 0.0104942i | ||||
\(239\) | −8.10103 | + | 9.65444i | −0.524012 | + | 0.624494i | −0.961525 | − | 0.274719i | \(-0.911415\pi\) |
0.437512 | + | 0.899212i | \(0.355860\pi\) | |||||||
\(240\) | 1.23583 | − | 0.0247382i | 0.0797724 | − | 0.00159685i | ||||
\(241\) | −2.86347 | + | 7.86733i | −0.184452 | + | 0.506779i | −0.997111 | − | 0.0759616i | \(-0.975797\pi\) |
0.812658 | + | 0.582741i | \(0.198020\pi\) | |||||||
\(242\) | 10.3283i | 0.663925i | ||||||||
\(243\) | 15.5105 | − | 1.55740i | 0.994997 | − | 0.0999073i | ||||
\(244\) | 6.10574i | 0.390880i | ||||||||
\(245\) | 1.85210 | + | 4.63952i | 0.118326 | + | 0.296408i | ||||
\(246\) | −0.214839 | − | 10.7325i | −0.0136976 | − | 0.684281i | ||||
\(247\) | 1.05201 | + | 0.882741i | 0.0669378 | + | 0.0561675i | ||||
\(248\) | 1.21780 | − | 6.90647i | 0.0773302 | − | 0.438561i | ||||
\(249\) | 12.4397 | + | 4.24771i | 0.788333 | + | 0.269188i | ||||
\(250\) | −4.35362 | − | 5.18844i | −0.275347 | − | 0.328146i | ||||
\(251\) | −4.26797 | − | 7.39234i | −0.269392 | − | 0.466600i | 0.699313 | − | 0.714815i | \(-0.253489\pi\) |
−0.968705 | + | 0.248215i | \(0.920156\pi\) | |||||||
\(252\) | −2.95092 | + | 7.36831i | −0.185891 | + | 0.464160i | ||||
\(253\) | 3.13814 | − | 5.43541i | 0.197293 | − | 0.341722i | ||||
\(254\) | −10.4622 | + | 1.84476i | −0.656455 | + | 0.115751i | ||||
\(255\) | −0.0711493 | − | 0.0573144i | −0.00445554 | − | 0.00358917i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −11.0968 | + | 4.03892i | −0.692202 | + | 0.251941i | −0.664078 | − | 0.747663i | \(-0.731176\pi\) |
−0.0281243 | + | 0.999604i | \(0.508953\pi\) | |||||||
\(258\) | 9.84625 | + | 1.53365i | 0.613001 | + | 0.0954808i | ||||
\(259\) | 5.92056 | + | 1.48924i | 0.367886 | + | 0.0925366i | ||||
\(260\) | 0.147827 | + | 0.0853481i | 0.00916786 | + | 0.00529306i | ||||
\(261\) | −2.66801 | + | 8.35671i | −0.165145 | + | 0.517268i | ||||
\(262\) | −9.02707 | + | 5.21178i | −0.557695 | + | 0.321985i | ||||
\(263\) | 7.34161 | + | 8.74939i | 0.452703 | + | 0.539510i | 0.943329 | − | 0.331860i | \(-0.107676\pi\) |
−0.490626 | + | 0.871370i | \(0.663232\pi\) | |||||||
\(264\) | −1.06899 | + | 0.934076i | −0.0657917 | + | 0.0574884i | ||||
\(265\) | 5.12239 | + | 0.903215i | 0.314666 | + | 0.0554841i | ||||
\(266\) | 13.6671 | − | 6.63075i | 0.837981 | − | 0.406557i | ||||
\(267\) | 12.4170 | + | 20.5459i | 0.759907 | + | 1.25739i | ||||
\(268\) | 8.29797 | + | 3.02022i | 0.506879 | + | 0.184489i | ||||
\(269\) | −26.1787 | −1.59614 | −0.798070 | − | 0.602564i | \(-0.794146\pi\) | ||||
−0.798070 | + | 0.602564i | \(0.794146\pi\) | |||||||
\(270\) | −3.31690 | − | 1.65806i | −0.201860 | − | 0.100906i | ||||
\(271\) | 7.70233i | 0.467883i | 0.972251 | + | 0.233942i | \(0.0751625\pi\) | ||||
−0.972251 | + | 0.233942i | \(0.924838\pi\) | |||||||
\(272\) | 0.0694560 | + | 0.0252799i | 0.00421139 | + | 0.00153282i | ||||
\(273\) | −0.875062 | + | 0.660071i | −0.0529612 | + | 0.0399493i | ||||
\(274\) | 17.1377 | + | 14.3803i | 1.03533 | + | 0.868743i | ||||
\(275\) | 3.62467 | + | 0.639127i | 0.218576 | + | 0.0385408i | ||||
\(276\) | −13.0133 | + | 2.56415i | −0.783312 | + | 0.154344i | ||||
\(277\) | 0.563921 | − | 0.473186i | 0.0338828 | − | 0.0284310i | −0.625689 | − | 0.780073i | \(-0.715182\pi\) |
0.659572 | + | 0.751642i | \(0.270738\pi\) | |||||||
\(278\) | 3.28714 | + | 5.69350i | 0.197150 | + | 0.341474i | ||||
\(279\) | −12.8678 | + | 16.6451i | −0.770377 | + | 0.996518i | ||||
\(280\) | 1.52984 | − | 1.10664i | 0.0914253 | − | 0.0661346i | ||||
\(281\) | 13.4012 | − | 2.36299i | 0.799447 | − | 0.140964i | 0.241023 | − | 0.970519i | \(-0.422517\pi\) |
0.558424 | + | 0.829555i | \(0.311406\pi\) | |||||||
\(282\) | −2.42260 | − | 6.26310i | −0.144264 | − | 0.372962i | ||||
\(283\) | 0.443048 | + | 1.21727i | 0.0263365 | + | 0.0723589i | 0.952164 | − | 0.305587i | \(-0.0988527\pi\) |
−0.925828 | + | 0.377946i | \(0.876630\pi\) | |||||||
\(284\) | 3.31228 | + | 9.10040i | 0.196547 | + | 0.540009i | ||||
\(285\) | 2.56028 | + | 6.61904i | 0.151658 | + | 0.392078i | ||||
\(286\) | −0.193060 | + | 0.0340417i | −0.0114159 | + | 0.00201293i | ||||
\(287\) | −9.61062 | − | 13.2858i | −0.567297 | − | 0.784238i | ||||
\(288\) | 2.97290 | + | 0.402294i | 0.175180 | + | 0.0237054i | ||||
\(289\) | 8.49727 | + | 14.7177i | 0.499839 | + | 0.865747i | ||||
\(290\) | 1.59856 | − | 1.34135i | 0.0938709 | − | 0.0787670i | ||||
\(291\) | 13.3407 | − | 2.62865i | 0.782046 | − | 0.154094i | ||||
\(292\) | 8.84851 | + | 1.56023i | 0.517820 | + | 0.0913056i | ||||
\(293\) | −10.0380 | − | 8.42287i | −0.586426 | − | 0.492070i | 0.300625 | − | 0.953743i | \(-0.402805\pi\) |
−0.887050 | + | 0.461673i | \(0.847249\pi\) | |||||||
\(294\) | 2.70855 | + | 11.8179i | 0.157966 | + | 0.689236i | ||||
\(295\) | 2.97274 | + | 1.08199i | 0.173080 | + | 0.0629959i | ||||
\(296\) | − | 2.30747i | − | 0.134119i | ||||||
\(297\) | 4.14213 | − | 0.989875i | 0.240351 | − | 0.0574384i | ||||
\(298\) | −7.84179 | −0.454263 | ||||||||
\(299\) | −1.72117 | − | 0.626456i | −0.0995380 | − | 0.0362289i | ||||
\(300\) | −4.02310 | − | 6.65687i | −0.232274 | − | 0.384335i | ||||
\(301\) | 13.6951 | − | 6.64434i | 0.789370 | − | 0.382973i | ||||
\(302\) | −10.2098 | − | 1.80027i | −0.587510 | − | 0.103594i | ||||
\(303\) | 0.0715634 | − | 0.0625317i | 0.00411121 | − | 0.00359235i | ||||
\(304\) | −3.69058 | − | 4.39826i | −0.211669 | − | 0.252257i | ||||
\(305\) | −3.77358 | + | 2.17868i | −0.216075 | + | 0.124751i | ||||
\(306\) | −0.149216 | − | 0.164023i | −0.00853010 | − | 0.00937658i | ||||
\(307\) | 16.5535 | + | 9.55718i | 0.944759 | + | 0.545457i | 0.891449 | − | 0.453121i | \(-0.149689\pi\) |
0.0533103 | + | 0.998578i | \(0.483023\pi\) | |||||||
\(308\) | −0.528969 | + | 2.10295i | −0.0301408 | + | 0.119827i | ||||
\(309\) | −0.542372 | − | 0.0844797i | −0.0308545 | − | 0.00480588i | ||||
\(310\) | 4.70300 | − | 1.71175i | 0.267113 | − | 0.0972211i | ||||
\(311\) | 9.36665 | − | 3.40918i | 0.531134 | − | 0.193317i | −0.0625106 | − | 0.998044i | \(-0.519911\pi\) |
0.593645 | + | 0.804727i | \(0.297689\pi\) | |||||||
\(312\) | 0.322627 | + | 0.259893i | 0.0182652 | + | 0.0147135i | ||||
\(313\) | 22.1741 | − | 3.90989i | 1.25335 | − | 0.221000i | 0.492723 | − | 0.870186i | \(-0.336002\pi\) |
0.760629 | + | 0.649186i | \(0.224891\pi\) | |||||||
\(314\) | 7.87057 | − | 13.6322i | 0.444162 | − | 0.769311i | ||||
\(315\) | −5.60686 | + | 0.805413i | −0.315911 | + | 0.0453799i | ||||
\(316\) | −5.59813 | − | 9.69625i | −0.314920 | − | 0.545457i | ||||
\(317\) | 8.08252 | + | 9.63237i | 0.453959 | + | 0.541008i | 0.943675 | − | 0.330875i | \(-0.107344\pi\) |
−0.489715 | + | 0.871882i | \(0.662899\pi\) | |||||||
\(318\) | 11.9467 | + | 4.07938i | 0.669939 | + | 0.228760i | ||||
\(319\) | −0.416164 | + | 2.36018i | −0.0233007 | + | 0.132145i | ||||
\(320\) | −0.546687 | − | 0.458725i | −0.0305607 | − | 0.0256435i | ||||
\(321\) | −0.523255 | − | 26.1399i | −0.0292053 | − | 1.45899i | ||||
\(322\) | −14.1043 | + | 14.5449i | −0.786003 | + | 0.810553i | ||||
\(323\) | 0.424376i | 0.0236129i | ||||||||
\(324\) | −7.33497 | − | 5.21519i | −0.407499 | − | 0.289733i | ||||
\(325\) | − | 1.07412i | − | 0.0595816i | ||||||
\(326\) | −3.57811 | + | 9.83076i | −0.198173 | + | 0.544476i | ||||
\(327\) | −14.6549 | + | 0.293354i | −0.810416 | + | 0.0162225i | ||||
\(328\) | −3.98378 | + | 4.74769i | −0.219968 | + | 0.262147i | ||||
\(329\) | −8.49217 | − | 5.75375i | −0.468188 | − | 0.317214i | ||||
\(330\) | −0.958737 | − | 0.327375i | −0.0527767 | − | 0.0180214i | ||||
\(331\) | −0.693576 | + | 0.581979i | −0.0381224 | + | 0.0319885i | −0.661650 | − | 0.749813i | \(-0.730143\pi\) |
0.623527 | + | 0.781801i | \(0.285699\pi\) | |||||||
\(332\) | −3.79461 | − | 6.57246i | −0.208256 | − | 0.360710i | ||||
\(333\) | −3.21852 | + | 6.12869i | −0.176374 | + | 0.335850i | ||||
\(334\) | −11.9604 | − | 6.90531i | −0.654441 | − | 0.377842i | ||||
\(335\) | 1.09431 | + | 6.20615i | 0.0597886 | + | 0.339078i | ||||
\(336\) | 4.08210 | − | 2.08242i | 0.222697 | − | 0.113605i | ||||
\(337\) | −29.5441 | + | 10.7532i | −1.60937 | + | 0.585763i | −0.981315 | − | 0.192406i | \(-0.938371\pi\) |
−0.628055 | + | 0.778169i | \(0.716149\pi\) | |||||||
\(338\) | −4.42669 | − | 12.1622i | −0.240780 | − | 0.661539i | ||||
\(339\) | 19.3514 | + | 3.01417i | 1.05103 | + | 0.163707i | ||||
\(340\) | 0.00915965 | + | 0.0519470i | 0.000496752 | + | 0.00281722i | ||||
\(341\) | −2.87394 | + | 4.97781i | −0.155632 | + | 0.269563i | ||||
\(342\) | 3.66745 | + | 16.8296i | 0.198313 | + | 0.910040i | ||||
\(343\) | 13.6857 | + | 12.4780i | 0.738960 | + | 0.673750i | ||||
\(344\) | −3.69814 | − | 4.40727i | −0.199390 | − | 0.237624i | ||||
\(345\) | −6.22822 | − | 7.12780i | −0.335316 | − | 0.383748i | ||||
\(346\) | −2.55993 | − | 0.451385i | −0.137623 | − | 0.0242666i | ||||
\(347\) | −23.8468 | + | 28.4195i | −1.28016 | + | 1.52564i | −0.569861 | + | 0.821741i | \(0.693003\pi\) |
−0.710301 | + | 0.703898i | \(0.751441\pi\) | |||||||
\(348\) | 4.33458 | − | 2.61961i | 0.232358 | − | 0.140426i | ||||
\(349\) | −8.15926 | + | 22.4174i | −0.436755 | + | 1.19997i | 0.504836 | + | 0.863216i | \(0.331553\pi\) |
−0.941591 | + | 0.336759i | \(0.890669\pi\) | |||||||
\(350\) | −10.8440 | − | 4.85510i | −0.579638 | − | 0.259516i | ||||
\(351\) | −0.494400 | − | 1.14029i | −0.0263891 | − | 0.0608642i | ||||
\(352\) | 0.819601 | 0.0436849 | ||||||||
\(353\) | 3.61926 | + | 1.31730i | 0.192634 | + | 0.0701130i | 0.436536 | − | 0.899687i | \(-0.356205\pi\) |
−0.243902 | + | 0.969800i | \(0.578427\pi\) | |||||||
\(354\) | 6.72483 | + | 3.70515i | 0.357421 | + | 0.196926i | ||||
\(355\) | −4.44249 | + | 5.29436i | −0.235783 | + | 0.280995i | ||||
\(356\) | 2.40680 | − | 13.6496i | 0.127560 | − | 0.723430i | ||||
\(357\) | −0.330070 | − | 0.0760345i | −0.0174692 | − | 0.00402417i | ||||
\(358\) | −16.6215 | + | 13.9471i | −0.878475 | + | 0.737128i | ||||
\(359\) | 9.53093 | − | 5.50269i | 0.503023 | − | 0.290421i | −0.226938 | − | 0.973909i | \(-0.572871\pi\) |
0.729961 | + | 0.683489i | \(0.239538\pi\) | |||||||
\(360\) | 0.812172 | + | 1.98092i | 0.0428052 | + | 0.104403i | ||||
\(361\) | 6.98251 | − | 12.0941i | 0.367501 | − | 0.636530i | ||||
\(362\) | −3.68198 | − | 20.8816i | −0.193521 | − | 1.09751i | ||||
\(363\) | −16.6844 | + | 6.45363i | −0.875704 | + | 0.338727i | ||||
\(364\) | 0.631197 | + | 0.0454557i | 0.0330837 | + | 0.00238252i | ||||
\(365\) | 2.19308 | + | 6.02544i | 0.114791 | + | 0.315386i | ||||
\(366\) | −9.86330 | + | 3.81518i | −0.515563 | + | 0.199423i | ||||
\(367\) | 33.4360 | − | 5.89567i | 1.74535 | − | 0.307752i | 0.792200 | − | 0.610262i | \(-0.208936\pi\) |
0.953146 | + | 0.302510i | \(0.0978245\pi\) | |||||||
\(368\) | 6.63178 | + | 3.82886i | 0.345706 | + | 0.199593i | ||||
\(369\) | 17.2032 | − | 7.05329i | 0.895564 | − | 0.367179i | ||||
\(370\) | 1.42610 | − | 0.823362i | 0.0741396 | − | 0.0428045i | ||||
\(371\) | 18.5475 | − | 5.27672i | 0.962937 | − | 0.273954i | ||||
\(372\) | 11.9178 | − | 2.34827i | 0.617907 | − | 0.121752i | ||||
\(373\) | −2.61234 | + | 14.8153i | −0.135262 | + | 0.767109i | 0.839415 | + | 0.543491i | \(0.182898\pi\) |
−0.974677 | + | 0.223618i | \(0.928213\pi\) | |||||||
\(374\) | −0.0464067 | − | 0.0389398i | −0.00239963 | − | 0.00201353i | ||||
\(375\) | 5.66112 | − | 10.2749i | 0.292339 | − | 0.530594i | ||||
\(376\) | −1.32604 | + | 3.64327i | −0.0683854 | + | 0.187887i | ||||
\(377\) | 0.699408 | 0.0360213 | ||||||||
\(378\) | −13.7468 | − | 0.162857i | −0.707057 | − | 0.00837647i | ||||
\(379\) | −11.8047 | −0.606368 | −0.303184 | − | 0.952932i | \(-0.598050\pi\) | ||||
−0.303184 | + | 0.952932i | \(0.598050\pi\) | |||||||
\(380\) | 1.40140 | − | 3.85032i | 0.0718905 | − | 0.197517i | ||||
\(381\) | −9.51736 | − | 15.7480i | −0.487589 | − | 0.806796i | ||||
\(382\) | −11.1481 | − | 9.35436i | −0.570386 | − | 0.478611i | ||||
\(383\) | −4.88799 | + | 27.7212i | −0.249765 | + | 1.41649i | 0.559397 | + | 0.828900i | \(0.311033\pi\) |
−0.809162 | + | 0.587586i | \(0.800079\pi\) | |||||||
\(384\) | −1.13967 | − | 1.30428i | −0.0581587 | − | 0.0665588i | ||||
\(385\) | −1.48845 | + | 0.423462i | −0.0758587 | + | 0.0215816i | ||||
\(386\) | −15.9919 | + | 9.23296i | −0.813969 | + | 0.469945i | ||||
\(387\) | 3.67497 | + | 16.8641i | 0.186809 | + | 0.857249i | ||||
\(388\) | −6.79861 | − | 3.92518i | −0.345147 | − | 0.199271i | ||||
\(389\) | 4.65475 | − | 0.820757i | 0.236005 | − | 0.0416141i | −0.0543946 | − | 0.998520i | \(-0.517323\pi\) |
0.290400 | + | 0.956905i | \(0.406212\pi\) | |||||||
\(390\) | −0.0455024 | + | 0.292132i | −0.00230410 | + | 0.0147927i | ||||
\(391\) | −0.193587 | − | 0.531875i | −0.00979010 | − | 0.0268981i | ||||
\(392\) | 3.31196 | − | 6.16692i | 0.167279 | − | 0.311477i | ||||
\(393\) | −14.0598 | − | 11.3259i | −0.709221 | − | 0.571314i | ||||
\(394\) | 0.471834 | + | 2.67590i | 0.0237706 | + | 0.134810i | ||||
\(395\) | 3.99510 | − | 6.91972i | 0.201015 | − | 0.348169i | ||||
\(396\) | −2.17688 | − | 1.14320i | −0.109392 | − | 0.0574480i | ||||
\(397\) | 3.06809 | − | 1.77137i | 0.153983 | − | 0.0889023i | −0.421029 | − | 0.907047i | \(-0.638331\pi\) |
0.575012 | + | 0.818145i | \(0.304997\pi\) | |||||||
\(398\) | −13.2713 | + | 11.1359i | −0.665230 | + | 0.558194i | ||||
\(399\) | 19.2513 | + | 17.9347i | 0.963770 | + | 0.897858i | ||||
\(400\) | −0.779803 | + | 4.42248i | −0.0389901 | + | 0.221124i | ||||
\(401\) | −0.206155 | + | 0.245687i | −0.0102949 | + | 0.0122690i | −0.771167 | − | 0.636632i | \(-0.780327\pi\) |
0.760872 | + | 0.648901i | \(0.224771\pi\) | |||||||
\(402\) | 0.306105 | + | 15.2918i | 0.0152671 | + | 0.762688i | ||||
\(403\) | 1.57627 | + | 0.573714i | 0.0785195 | + | 0.0285787i | ||||
\(404\) | −0.0548681 | −0.00272979 | ||||||||
\(405\) | 0.605886 | − | 6.39420i | 0.0301067 | − | 0.317730i | ||||
\(406\) | 3.16137 | − | 7.06102i | 0.156896 | − | 0.350433i | ||||
\(407\) | −0.646830 | + | 1.77715i | −0.0320622 | + | 0.0880901i | ||||
\(408\) | 0.00256217 | + | 0.127996i | 0.000126846 | + | 0.00633677i | ||||
\(409\) | 4.43868 | − | 5.28982i | 0.219479 | − | 0.261565i | −0.645059 | − | 0.764133i | \(-0.723167\pi\) |
0.864537 | + | 0.502568i | \(0.167612\pi\) | |||||||
\(410\) | −4.35576 | − | 0.768039i | −0.215116 | − | 0.0379307i | ||||
\(411\) | −12.5215 | + | 36.6700i | −0.617641 | + | 1.80880i | ||||
\(412\) | 0.203709 | + | 0.242770i | 0.0100360 | + | 0.0119604i | ||||
\(413\) | 11.6666 | − | 1.20171i | 0.574076 | − | 0.0591321i | ||||
\(414\) | −12.2736 | − | 19.4197i | −0.603213 | − | 0.954427i | ||||
\(415\) | 2.70802 | − | 4.69043i | 0.132931 | − | 0.230244i | ||||
\(416\) | −0.0415345 | − | 0.235554i | −0.00203640 | − | 0.0115490i | ||||
\(417\) | −7.14338 | + | 8.86769i | −0.349813 | + | 0.434253i | ||||
\(418\) | 1.60946 | + | 4.42196i | 0.0787214 | + | 0.216285i | ||||
\(419\) | 25.3783 | − | 9.23694i | 1.23981 | − | 0.451254i | 0.362864 | − | 0.931842i | \(-0.381799\pi\) |
0.876947 | + | 0.480588i | \(0.159577\pi\) | |||||||
\(420\) | 2.74361 | + | 1.77983i | 0.133874 | + | 0.0868470i | ||||
\(421\) | −5.20249 | − | 29.5048i | −0.253554 | − | 1.43798i | −0.799757 | − | 0.600324i | \(-0.795038\pi\) |
0.546203 | − | 0.837653i | \(-0.316073\pi\) | |||||||
\(422\) | −5.30695 | − | 3.06397i | −0.258338 | − | 0.149152i | ||||
\(423\) | 8.60372 | − | 7.82701i | 0.418327 | − | 0.380562i | ||||
\(424\) | −3.64423 | − | 6.31200i | −0.176980 | − | 0.306538i | ||||
\(425\) | 0.254269 | − | 0.213357i | 0.0123338 | − | 0.0103493i | ||||
\(426\) | −12.6312 | + | 11.0371i | −0.611985 | + | 0.534749i | ||||
\(427\) | −9.06116 | + | 13.3737i | −0.438500 | + | 0.647199i | ||||
\(428\) | −9.70280 | + | 11.5634i | −0.469003 | + | 0.558936i | ||||
\(429\) | −0.175626 | − | 0.290601i | −0.00847928 | − | 0.0140304i | ||||
\(430\) | 1.40427 | − | 3.85821i | 0.0677201 | − | 0.186060i | ||||
\(431\) | − | 1.91551i | − | 0.0922669i | −0.998935 | − | 0.0461335i | \(-0.985310\pi\) | ||
0.998935 | − | 0.0461335i | \(-0.0146900\pi\) | |||||||
\(432\) | 1.20775 | + | 5.05384i | 0.0581080 | + | 0.243153i | ||||
\(433\) | − | 22.1219i | − | 1.06311i | −0.847023 | − | 0.531556i | \(-0.821607\pi\) | ||
0.847023 | − | 0.531556i | \(-0.178393\pi\) | |||||||
\(434\) | 12.9169 | − | 13.3203i | 0.620030 | − | 0.639396i | ||||
\(435\) | 3.16571 | + | 1.74419i | 0.151784 | + | 0.0836277i | ||||
\(436\) | 6.48280 | + | 5.43971i | 0.310470 | + | 0.260515i | ||||
\(437\) | −7.63478 | + | 43.2990i | −0.365221 | + | 2.07127i | ||||
\(438\) | 3.00859 | + | 15.2689i | 0.143756 | + | 0.729577i | ||||
\(439\) | −14.1622 | − | 16.8779i | −0.675927 | − | 0.805539i | 0.313651 | − | 0.949538i | \(-0.398448\pi\) |
−0.989578 | + | 0.144000i | \(0.954003\pi\) | |||||||
\(440\) | 0.292454 | + | 0.506545i | 0.0139422 | + | 0.0241486i | ||||
\(441\) | −17.3984 | + | 11.7599i | −0.828496 | + | 0.559995i | ||||
\(442\) | −0.00883961 | + | 0.0153107i | −0.000420457 | + | 0.000728254i | ||||
\(443\) | 23.9033 | − | 4.21480i | 1.13568 | − | 0.200251i | 0.425965 | − | 0.904740i | \(-0.359935\pi\) |
0.709715 | + | 0.704489i | \(0.248824\pi\) | |||||||
\(444\) | 3.72752 | − | 1.44183i | 0.176900 | − | 0.0684260i | ||||
\(445\) | 9.29481 | − | 3.38303i | 0.440616 | − | 0.160371i | ||||
\(446\) | −25.4700 | + | 9.27031i | −1.20604 | + | 0.438962i | ||||
\(447\) | −4.89996 | − | 12.6677i | −0.231760 | − | 0.599164i | ||||
\(448\) | −2.56583 | − | 0.645398i | −0.121224 | − | 0.0304922i | ||||
\(449\) | 10.2866 | + | 5.93899i | 0.485456 | + | 0.280278i | 0.722687 | − | 0.691175i | \(-0.242907\pi\) |
−0.237232 | + | 0.971453i | \(0.576240\pi\) | |||||||
\(450\) | 8.23977 | − | 10.6585i | 0.388426 | − | 0.502448i | ||||
\(451\) | 4.39907 | − | 2.53981i | 0.207144 | − | 0.119595i | ||||
\(452\) | −7.26817 | − | 8.66187i | −0.341866 | − | 0.407420i | ||||
\(453\) | −3.47145 | − | 17.6180i | −0.163103 | − | 0.827766i | ||||
\(454\) | −21.4405 | − | 3.78053i | −1.00625 | − | 0.177429i | ||||
\(455\) | 0.197133 | + | 0.406324i | 0.00924175 | + | 0.0190487i | ||||
\(456\) | 4.79894 | − | 8.71006i | 0.224731 | − | 0.407886i | ||||
\(457\) | −2.17260 | − | 0.790762i | −0.101630 | − | 0.0369903i | 0.290705 | − | 0.956813i | \(-0.406110\pi\) |
−0.392335 | + | 0.919823i | \(0.628332\pi\) | |||||||
\(458\) | 27.4068 | 1.28064 | ||||||||
\(459\) | 0.171727 | − | 0.343535i | 0.00801555 | − | 0.0160348i | ||||
\(460\) | 5.46493i | 0.254803i | ||||||||
\(461\) | −20.9148 | − | 7.61235i | −0.974098 | − | 0.354543i | −0.194555 | − | 0.980892i | \(-0.562326\pi\) |
−0.779543 | + | 0.626349i | \(0.784548\pi\) | |||||||
\(462\) | −3.72767 | + | 0.459530i | −0.173427 | + | 0.0213793i | ||||
\(463\) | −13.0142 | − | 10.9202i | −0.604819 | − | 0.507504i | 0.288171 | − | 0.957579i | \(-0.406953\pi\) |
−0.892991 | + | 0.450075i | \(0.851397\pi\) | |||||||
\(464\) | −2.87967 | − | 0.507764i | −0.133685 | − | 0.0235723i | ||||
\(465\) | 5.70387 | + | 6.52770i | 0.264511 | + | 0.302715i | ||||
\(466\) | −4.44340 | + | 3.72846i | −0.205837 | + | 0.172717i | ||||
\(467\) | 15.9591 | + | 27.6420i | 0.738499 | + | 1.27912i | 0.953171 | + | 0.302432i | \(0.0977986\pi\) |
−0.214672 | + | 0.976686i | \(0.568868\pi\) | |||||||
\(468\) | −0.218240 | + | 0.683571i | −0.0100882 | + | 0.0315981i | ||||
\(469\) | 13.6933 | + | 18.9298i | 0.632299 | + | 0.874099i | ||||
\(470\) | −2.72484 | + | 0.480463i | −0.125688 | + | 0.0221621i | ||||
\(471\) | 26.9396 | + | 4.19611i | 1.24131 | + | 0.193346i | ||||
\(472\) | −1.51614 | − | 4.16555i | −0.0697859 | − | 0.191735i | ||||
\(473\) | 1.61276 | + | 4.43102i | 0.0741548 | + | 0.203739i | ||||
\(474\) | 12.1655 | − | 15.1020i | 0.558778 | − | 0.693659i | ||||
\(475\) | −25.3918 | + | 4.47725i | −1.16505 | + | 0.205430i | ||||
\(476\) | 0.114616 | + | 0.158447i | 0.00525344 | + | 0.00726242i | ||||
\(477\) | 0.875032 | + | 21.8479i | 0.0400650 | + | 1.00035i | ||||
\(478\) | 6.30149 | + | 10.9145i | 0.288223 | + | 0.499217i | ||||
\(479\) | 13.2273 | − | 11.0990i | 0.604369 | − | 0.507126i | −0.288477 | − | 0.957487i | \(-0.593149\pi\) |
0.892847 | + | 0.450361i | \(0.148705\pi\) | |||||||
\(480\) | 0.399432 | − | 1.16976i | 0.0182315 | − | 0.0533920i | ||||
\(481\) | 0.543534 | + | 0.0958397i | 0.0247830 | + | 0.00436991i | ||||
\(482\) | 6.41350 | + | 5.38157i | 0.292127 | + | 0.245124i | ||||
\(483\) | −32.3091 | − | 13.6959i | −1.47011 | − | 0.623187i | ||||
\(484\) | 9.70538 | + | 3.53247i | 0.441154 | + | 0.160567i | ||||
\(485\) | − | 5.60240i | − | 0.254392i | ||||||
\(486\) | 3.84141 | − | 15.1077i | 0.174250 | − | 0.685301i | ||||
\(487\) | 8.94527 | 0.405349 | 0.202674 | − | 0.979246i | \(-0.435037\pi\) | ||||
0.202674 | + | 0.979246i | \(0.435037\pi\) | |||||||
\(488\) | 5.73752 | + | 2.08829i | 0.259725 | + | 0.0945323i | ||||
\(489\) | −18.1165 | + | 0.362648i | −0.819258 | + | 0.0163995i | ||||
\(490\) | 4.99318 | − | 0.153594i | 0.225569 | − | 0.00693867i | ||||
\(491\) | 9.64622 | + | 1.70089i | 0.435328 | + | 0.0767601i | 0.387018 | − | 0.922072i | \(-0.373505\pi\) |
0.0483103 | + | 0.998832i | \(0.484616\pi\) | |||||||
\(492\) | −10.1588 | − | 3.46886i | −0.457992 | − | 0.156388i | ||||
\(493\) | 0.138926 | + | 0.165565i | 0.00625690 | + | 0.00745669i | ||||
\(494\) | 1.18931 | − | 0.686651i | 0.0535098 | − | 0.0308939i | ||||
\(495\) | −0.0702222 | − | 1.75332i | −0.00315626 | − | 0.0788057i | ||||
\(496\) | −6.07345 | − | 3.50651i | −0.272706 | − | 0.157447i | ||||
\(497\) | −6.25032 | + | 24.8486i | −0.280365 | + | 1.11461i | ||||
\(498\) | 8.24617 | − | 10.2367i | 0.369520 | − | 0.458716i | ||||
\(499\) | 10.4030 | − | 3.78638i | 0.465702 | − | 0.169502i | −0.0985026 | − | 0.995137i | \(-0.531405\pi\) |
0.564204 | + | 0.825635i | \(0.309183\pi\) | |||||||
\(500\) | −6.36457 | + | 2.31651i | −0.284632 | + | 0.103598i | ||||
\(501\) | 3.68149 | − | 23.6357i | 0.164477 | − | 1.05597i | ||||
\(502\) | −8.40626 | + | 1.48225i | −0.375190 | + | 0.0661561i | ||||
\(503\) | −19.8286 | + | 34.3442i | −0.884115 | + | 1.53133i | −0.0373905 | + | 0.999301i | \(0.511905\pi\) |
−0.846725 | + | 0.532031i | \(0.821429\pi\) | |||||||
\(504\) | 5.91468 | + | 5.29307i | 0.263461 | + | 0.235772i | ||||
\(505\) | −0.0195783 | − | 0.0339106i | −0.000871223 | − | 0.00150900i | ||||
\(506\) | −4.03431 | − | 4.80791i | −0.179347 | − | 0.213738i | ||||
\(507\) | 16.8810 | − | 14.7505i | 0.749713 | − | 0.655094i | ||||
\(508\) | −1.84476 | + | 10.4622i | −0.0818481 | + | 0.464184i | ||||
\(509\) | −7.57225 | − | 6.35387i | −0.335634 | − | 0.281630i | 0.459357 | − | 0.888252i | \(-0.348080\pi\) |
−0.794991 | + | 0.606621i | \(0.792524\pi\) | |||||||
\(510\) | −0.0781924 | + | 0.0472558i | −0.00346242 | + | 0.00209252i | ||||
\(511\) | 17.0659 | + | 16.5490i | 0.754950 | + | 0.732084i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −24.8951 | + | 16.4404i | −1.09915 | + | 0.725863i | ||||
\(514\) | 11.8090i | 0.520873i | ||||||||
\(515\) | −0.0773532 | + | 0.212526i | −0.00340859 | + | 0.00936502i | ||||
\(516\) | 4.80877 | − | 8.72791i | 0.211694 | − | 0.384225i | ||||
\(517\) | 2.04256 | − | 2.43423i | 0.0898318 | − | 0.107057i | ||||
\(518\) | 3.42438 | − | 5.05416i | 0.150458 | − | 0.222067i | ||||
\(519\) | −0.870404 | − | 4.41740i | −0.0382065 | − | 0.193902i | ||||
\(520\) | 0.130761 | − | 0.109721i | 0.00573424 | − | 0.00481160i | ||||
\(521\) | −2.28179 | − | 3.95218i | −0.0999671 | − | 0.173148i | 0.811704 | − | 0.584069i | \(-0.198540\pi\) |
−0.911671 | + | 0.410921i | \(0.865207\pi\) | |||||||
\(522\) | 6.94023 | + | 5.36527i | 0.303766 | + | 0.234832i | ||||
\(523\) | −21.2075 | − | 12.2442i | −0.927341 | − | 0.535400i | −0.0413711 | − | 0.999144i | \(-0.513173\pi\) |
−0.885969 | + | 0.463744i | \(0.846506\pi\) | |||||||
\(524\) | 1.81003 | + | 10.2652i | 0.0790717 | + | 0.448438i | ||||
\(525\) | 1.06708 | − | 20.5513i | 0.0465711 | − | 0.896933i | ||||
\(526\) | 10.7327 | − | 3.90639i | 0.467968 | − | 0.170327i | ||||
\(527\) | 0.177289 | + | 0.487096i | 0.00772281 | + | 0.0212182i | ||||
\(528\) | 0.512129 | + | 1.32399i | 0.0222875 | + | 0.0576195i | ||||
\(529\) | −6.18894 | − | 35.0992i | −0.269084 | − | 1.52605i | ||||
\(530\) | 2.60070 | − | 4.50455i | 0.112967 | − | 0.195665i | ||||
\(531\) | −1.78333 | + | 13.1786i | −0.0773897 | + | 0.571901i | ||||
\(532\) | −1.55646 | − | 15.1107i | −0.0674811 | − | 0.655131i | ||||
\(533\) | −0.952873 | − | 1.13559i | −0.0412735 | − | 0.0491878i | ||||
\(534\) | 23.5537 | − | 4.64102i | 1.01927 | − | 0.200837i | ||||
\(535\) | −10.6088 | − | 1.87062i | −0.458658 | − | 0.0808738i | ||||
\(536\) | 5.67615 | − | 6.76457i | 0.245172 | − | 0.292185i | ||||
\(537\) | −32.9164 | − | 18.1358i | −1.42045 | − | 0.782616i | ||||
\(538\) | −8.95363 | + | 24.5999i | −0.386018 | + | 1.06058i | ||||
\(539\) | −4.27949 | + | 3.82119i | −0.184331 | + | 0.164590i | ||||
\(540\) | −2.69251 | + | 2.54977i | −0.115867 | + | 0.109725i | ||||
\(541\) | 17.0052 | 0.731111 | 0.365556 | − | 0.930789i | \(-0.380879\pi\) | ||||
0.365556 | + | 0.930789i | \(0.380879\pi\) | |||||||
\(542\) | 7.23783 | + | 2.63435i | 0.310891 | + | 0.113155i | ||||
\(543\) | 31.4316 | − | 18.9958i | 1.34886 | − | 0.815187i | ||||
\(544\) | 0.0475107 | − | 0.0566211i | 0.00203701 | − | 0.00242761i | ||||
\(545\) | −1.04873 | + | 5.94764i | −0.0449226 | + | 0.254769i | ||||
\(546\) | 0.320975 | + | 1.04805i | 0.0137364 | + | 0.0448523i | ||||
\(547\) | −21.5758 | + | 18.1043i | −0.922516 | + | 0.774083i | −0.974459 | − | 0.224567i | \(-0.927903\pi\) |
0.0519427 | + | 0.998650i | \(0.483459\pi\) | |||||||
\(548\) | 19.3745 | − | 11.1859i | 0.827636 | − | 0.477836i | ||||
\(549\) | −12.3262 | − | 13.5494i | −0.526069 | − | 0.578274i | ||||
\(550\) | 1.84029 | − | 3.18748i | 0.0784704 | − | 0.135915i | ||||
\(551\) | −2.91533 | − | 16.5337i | −0.124197 | − | 0.704358i | ||||
\(552\) | −2.04131 | + | 13.1055i | −0.0868841 | + | 0.557809i | ||||
\(553\) | 2.12776 | − | 29.5460i | 0.0904815 | − | 1.25642i | ||||
\(554\) | −0.251777 | − | 0.691752i | −0.0106970 | − | 0.0293897i | ||||
\(555\) | 2.22117 | + | 1.78927i | 0.0942835 | + | 0.0759502i | ||||
\(556\) | 6.47441 | − | 1.14161i | 0.274576 | − | 0.0484152i | ||||
\(557\) | 37.5810 | + | 21.6974i | 1.59236 | + | 0.919348i | 0.992901 | + | 0.118940i | \(0.0379497\pi\) |
0.599456 | + | 0.800408i | \(0.295384\pi\) | |||||||
\(558\) | 11.2403 | + | 17.7848i | 0.475838 | + | 0.752890i | ||||
\(559\) | 1.19175 | − | 0.688058i | 0.0504057 | − | 0.0291017i | ||||
\(560\) | −0.516669 | − | 1.81607i | −0.0218333 | − | 0.0767431i | ||||
\(561\) | 0.0339066 | − | 0.0992976i | 0.00143154 | − | 0.00419235i | ||||
\(562\) | 2.36299 | − | 13.4012i | 0.0996767 | − | 0.565294i | ||||
\(563\) | 35.3193 | + | 29.6364i | 1.48853 | + | 1.24903i | 0.896447 | + | 0.443151i | \(0.146139\pi\) |
0.592084 | + | 0.805876i | \(0.298305\pi\) | |||||||
\(564\) | −6.71396 | + | 0.134397i | −0.282709 | + | 0.00565913i | ||||
\(565\) | 2.75991 | − | 7.58278i | 0.116110 | − | 0.319010i | ||||
\(566\) | 1.29539 | 0.0544492 | ||||||||
\(567\) | −8.32660 | − | 22.3085i | −0.349684 | − | 0.936868i | ||||
\(568\) | 9.68444 | 0.406350 | ||||||||
\(569\) | 11.2987 | − | 31.0430i | 0.473668 | − | 1.30139i | −0.441116 | − | 0.897450i | \(-0.645417\pi\) |
0.914784 | − | 0.403942i | \(-0.132360\pi\) | |||||||
\(570\) | 7.09553 | − | 0.142035i | 0.297199 | − | 0.00594919i | ||||
\(571\) | −3.96665 | − | 3.32841i | −0.165999 | − | 0.139290i | 0.556004 | − | 0.831180i | \(-0.312334\pi\) |
−0.722003 | + | 0.691890i | \(0.756778\pi\) | |||||||
\(572\) | −0.0340417 | + | 0.193060i | −0.00142336 | + | 0.00807226i | ||||
\(573\) | 8.14526 | − | 23.8539i | 0.340273 | − | 0.996510i | ||||
\(574\) | −15.7716 | + | 4.48700i | −0.658295 | + | 0.187284i | ||||
\(575\) | 29.7814 | − | 17.1943i | 1.24197 | − | 0.717051i | ||||
\(576\) | 1.39483 | − | 2.65602i | 0.0581177 | − | 0.110668i | ||||
\(577\) | −1.29258 | − | 0.746272i | −0.0538108 | − | 0.0310677i | 0.472853 | − | 0.881141i | \(-0.343224\pi\) |
−0.526664 | + | 0.850074i | \(0.676557\pi\) | |||||||
\(578\) | 16.7364 | − | 2.95107i | 0.696140 | − | 0.122748i | ||||
\(579\) | −24.9076 | − | 20.0644i | −1.03513 | − | 0.833847i | ||||
\(580\) | −0.713720 | − | 1.96093i | −0.0296356 | − | 0.0814231i | ||||
\(581\) | 1.44227 | − | 20.0273i | 0.0598354 | − | 0.830873i | ||||
\(582\) | 2.09267 | − | 13.4352i | 0.0867438 | − | 0.556908i | ||||
\(583\) | 1.03731 | + | 5.88288i | 0.0429610 | + | 0.243644i | ||||
\(584\) | 4.49250 | − | 7.78125i | 0.185901 | − | 0.321990i | ||||
\(585\) | −0.500346 | + | 0.109034i | −0.0206868 | + | 0.00450800i | ||||
\(586\) | −11.3481 | + | 6.55183i | −0.468786 | + | 0.270654i | ||||
\(587\) | −26.1893 | + | 21.9755i | −1.08095 | + | 0.907024i | −0.995999 | − | 0.0893612i | \(-0.971517\pi\) |
−0.0849499 | + | 0.996385i | \(0.527073\pi\) | |||||||
\(588\) | 12.0316 | + | 1.49677i | 0.496175 | + | 0.0617256i | ||||
\(589\) | 6.99201 | − | 39.6536i | 0.288101 | − | 1.63390i | ||||
\(590\) | 2.03348 | − | 2.42340i | 0.0837169 | − | 0.0997699i | ||||
\(591\) | −4.02786 | + | 2.43425i | −0.165684 | + | 0.100132i | ||||
\(592\) | −2.16831 | − | 0.789201i | −0.0891171 | − | 0.0324360i | ||||
\(593\) | 31.6997 | 1.30175 | 0.650876 | − | 0.759184i | \(-0.274402\pi\) | ||||
0.650876 | + | 0.759184i | \(0.274402\pi\) | |||||||
\(594\) | 0.486515 | − | 4.23089i | 0.0199620 | − | 0.173596i | ||||
\(595\) | −0.0570285 | + | 0.127375i | −0.00233794 | + | 0.00522188i | ||||
\(596\) | −2.68205 | + | 7.36888i | −0.109861 | + | 0.301841i | ||||
\(597\) | −26.2817 | − | 14.4803i | −1.07564 | − | 0.592640i | ||||
\(598\) | −1.17735 | + | 1.40311i | −0.0481455 | + | 0.0573776i | ||||
\(599\) | −19.6331 | − | 3.46185i | −0.802189 | − | 0.141448i | −0.242501 | − | 0.970151i | \(-0.577968\pi\) |
−0.559688 | + | 0.828704i | \(0.689079\pi\) | |||||||
\(600\) | −7.63140 | + | 1.50369i | −0.311550 | + | 0.0613879i | ||||
\(601\) | −12.6992 | − | 15.1343i | −0.518011 | − | 0.617341i | 0.442099 | − | 0.896966i | \(-0.354234\pi\) |
−0.960109 | + | 0.279626i | \(0.909790\pi\) | |||||||
\(602\) | −1.55965 | − | 15.1416i | −0.0635665 | − | 0.617127i | ||||
\(603\) | −24.5114 | + | 10.0496i | −0.998181 | + | 0.409252i | ||||
\(604\) | −5.18367 | + | 8.97837i | −0.210920 | + | 0.365325i | ||||
\(605\) | 1.27992 | + | 7.25877i | 0.0520360 | + | 0.295111i | ||||
\(606\) | −0.0342844 | − | 0.0886347i | −0.00139271 | − | 0.00360054i | ||||
\(607\) | 1.55253 | + | 4.26554i | 0.0630153 | + | 0.173133i | 0.967204 | − | 0.253999i | \(-0.0817461\pi\) |
−0.904189 | + | 0.427132i | \(0.859524\pi\) | |||||||
\(608\) | −5.39526 | + | 1.96371i | −0.218807 | + | 0.0796391i | ||||
\(609\) | 13.3819 | + | 0.694822i | 0.542260 | + | 0.0281556i | ||||
\(610\) | 0.756647 | + | 4.29116i | 0.0306357 | + | 0.173744i | ||||
\(611\) | −0.803110 | − | 0.463676i | −0.0324904 | − | 0.0187583i | ||||
\(612\) | −0.205166 | + | 0.0841177i | −0.00829335 | + | 0.00340026i | ||||
\(613\) | 2.33673 | + | 4.04733i | 0.0943795 | + | 0.163470i | 0.909349 | − | 0.416033i | \(-0.136580\pi\) |
−0.814970 | + | 0.579503i | \(0.803247\pi\) | |||||||
\(614\) | 14.6424 | − | 12.2865i | 0.590921 | − | 0.495842i | ||||
\(615\) | −1.48101 | − | 7.51627i | −0.0597199 | − | 0.303085i | ||||
\(616\) | 1.79521 | + | 1.21632i | 0.0723311 | + | 0.0490069i | ||||
\(617\) | 6.17344 | − | 7.35722i | 0.248533 | − | 0.296190i | −0.627326 | − | 0.778757i | \(-0.715851\pi\) |
0.875860 | + | 0.482566i | \(0.160295\pi\) | |||||||
\(618\) | −0.264887 | + | 0.480769i | −0.0106553 | + | 0.0193394i | ||||
\(619\) | −3.76559 | + | 10.3459i | −0.151352 | + | 0.415836i | −0.992078 | − | 0.125625i | \(-0.959906\pi\) |
0.840726 | + | 0.541461i | \(0.182129\pi\) | |||||||
\(620\) | − | 5.00483i | − | 0.200999i | ||||||
\(621\) | 23.7017 | − | 31.9613i | 0.951117 | − | 1.28256i | ||||
\(622\) | − | 9.96778i | − | 0.399672i | ||||||
\(623\) | 25.5284 | − | 26.3257i | 1.02277 | − | 1.05472i | ||||
\(624\) | 0.354564 | − | 0.214282i | 0.0141939 | − | 0.00857814i | ||||
\(625\) | 13.4977 | + | 11.3259i | 0.539907 | + | 0.453036i | ||||
\(626\) | 3.90989 | − | 22.1741i | 0.156270 | − | 0.886254i | ||||
\(627\) | −6.13762 | + | 5.36302i | −0.245113 | + | 0.214178i | ||||
\(628\) | −10.1182 | − | 12.0584i | −0.403761 | − | 0.481183i | ||||
\(629\) | 0.0852766 | + | 0.147703i | 0.00340020 | + | 0.00588932i | ||||
\(630\) | −1.16082 | + | 5.54419i | −0.0462481 | + | 0.220886i | ||||
\(631\) | −17.8735 | + | 30.9578i | −0.711532 | + | 1.23241i | 0.252749 | + | 0.967532i | \(0.418665\pi\) |
−0.964282 | + | 0.264879i | \(0.914668\pi\) | |||||||
\(632\) | −11.0262 | + | 1.94421i | −0.438597 | + | 0.0773366i | ||||
\(633\) | 1.63352 | − | 10.4874i | 0.0649267 | − | 0.416839i | ||||
\(634\) | 11.8158 | − | 4.30062i | 0.469267 | − | 0.170799i | ||||
\(635\) | −7.12428 | + | 2.59303i | −0.282718 | + | 0.102901i | ||||
\(636\) | 7.91938 | − | 9.83101i | 0.314024 | − | 0.389825i | ||||
\(637\) | 1.31508 | + | 1.03629i | 0.0521055 | + | 0.0410591i | ||||
\(638\) | 2.07551 | + | 1.19830i | 0.0821702 | + | 0.0474410i | ||||
\(639\) | −25.7221 | − | 13.5081i | −1.01755 | − | 0.534373i | ||||
\(640\) | −0.618038 | + | 0.356825i | −0.0244301 | + | 0.0141047i | ||||
\(641\) | −14.8782 | − | 17.7311i | −0.587652 | − | 0.700336i | 0.387501 | − | 0.921869i | \(-0.373338\pi\) |
−0.975153 | + | 0.221533i | \(0.928894\pi\) | |||||||
\(642\) | −24.7424 | − | 8.44866i | −0.976505 | − | 0.333442i | ||||
\(643\) | −27.4072 | − | 4.83262i | −1.08083 | − | 0.190580i | −0.395249 | − | 0.918574i | \(-0.629342\pi\) |
−0.685584 | + | 0.727994i | \(0.740453\pi\) | |||||||
\(644\) | 8.84373 | + | 18.2284i | 0.348492 | + | 0.718298i | ||||
\(645\) | 7.11007 | − | 0.142326i | 0.279959 | − | 0.00560408i | ||||
\(646\) | 0.398783 | + | 0.145145i | 0.0156899 | + | 0.00571066i | ||||
\(647\) | 10.9868 | 0.431937 | 0.215969 | − | 0.976400i | \(-0.430709\pi\) | ||||
0.215969 | + | 0.976400i | \(0.430709\pi\) | |||||||
\(648\) | −7.40938 | + | 5.10892i | −0.291068 | + | 0.200697i | ||||
\(649\) | 3.63320i | 0.142616i | ||||||||
\(650\) | −1.00934 | − | 0.367371i | −0.0395898 | − | 0.0144095i | ||||
\(651\) | 29.5890 | + | 12.5429i | 1.15968 | + | 0.491594i | ||||
\(652\) | 8.01411 | + | 6.72464i | 0.313857 | + | 0.263357i | ||||
\(653\) | −1.42017 | − | 0.250414i | −0.0555754 | − | 0.00979944i | 0.145791 | − | 0.989315i | \(-0.453427\pi\) |
−0.201367 | + | 0.979516i | \(0.564538\pi\) | |||||||
\(654\) | −4.73660 | + | 13.8714i | −0.185216 | + | 0.542415i | ||||
\(655\) | −5.69843 | + | 4.78155i | −0.222656 | + | 0.186831i | ||||
\(656\) | 3.09883 | + | 5.36734i | 0.120989 | + | 0.209559i | ||||
\(657\) | −22.7857 | + | 14.4009i | −0.888954 | + | 0.561833i | ||||
\(658\) | −8.31125 | + | 6.01213i | −0.324006 | + | 0.234377i | ||||
\(659\) | 16.3653 | − | 2.88565i | 0.637503 | − | 0.112409i | 0.154451 | − | 0.988000i | \(-0.450639\pi\) |
0.483053 | + | 0.875591i | \(0.339528\pi\) | |||||||
\(660\) | −0.635539 | + | 0.788949i | −0.0247383 | + | 0.0307098i | ||||
\(661\) | 9.35300 | + | 25.6972i | 0.363790 | + | 0.999504i | 0.977678 | + | 0.210111i | \(0.0673824\pi\) |
−0.613888 | + | 0.789393i | \(0.710395\pi\) | |||||||
\(662\) | 0.309665 | + | 0.850797i | 0.0120355 | + | 0.0330672i | ||||
\(663\) | −0.0302565 | − | 0.00471274i | −0.00117506 | − | 0.000183028i | ||||
\(664\) | −7.47392 | + | 1.31785i | −0.290044 | + | 0.0511427i | ||||
\(665\) | 8.78359 | − | 6.35381i | 0.340613 | − | 0.246390i | ||||
\(666\) | 4.65829 | + | 5.12055i | 0.180505 | + | 0.198417i | ||||
\(667\) | 11.1959 | + | 19.3920i | 0.433509 | + | 0.750859i | ||||
\(668\) | −10.5796 | + | 8.87730i | −0.409335 | + | 0.343473i | ||||
\(669\) | −30.8903 | − | 35.3520i | −1.19429 | − | 1.36679i | ||||
\(670\) | 6.20615 | + | 1.09431i | 0.239765 | + | 0.0422770i | ||||
\(671\) | −3.83349 | − | 3.21668i | −0.147990 | − | 0.124179i | ||||
\(672\) | −0.560676 | − | 4.54815i | −0.0216285 | − | 0.175449i | ||||
\(673\) | −38.6342 | − | 14.0617i | −1.48924 | − | 0.542039i | −0.535990 | − | 0.844224i | \(-0.680062\pi\) |
−0.953249 | + | 0.302185i | \(0.902284\pi\) | |||||||
\(674\) | 31.4402i | 1.21103i | ||||||||
\(675\) | 22.3666 | + | 6.65063i | 0.860889 | + | 0.255983i | ||||
\(676\) | −12.9428 | −0.497800 | ||||||||
\(677\) | −27.3038 | − | 9.93776i | −1.04937 | − | 0.381939i | −0.240945 | − | 0.970539i | \(-0.577457\pi\) |
−0.808425 | + | 0.588600i | \(0.799679\pi\) | |||||||
\(678\) | 9.45098 | − | 17.1535i | 0.362963 | − | 0.658776i | ||||
\(679\) | −9.06620 | − | 18.6869i | −0.347929 | − | 0.717138i | ||||
\(680\) | 0.0519470 | + | 0.00915965i | 0.00199208 | + | 0.000351257i | ||||
\(681\) | −7.28999 | − | 36.9975i | −0.279353 | − | 1.41775i | ||||
\(682\) | 3.69466 | + | 4.40313i | 0.141476 | + | 0.168604i | ||||
\(683\) | −37.2297 | + | 21.4946i | −1.42456 | + | 0.822468i | −0.996684 | − | 0.0813720i | \(-0.974070\pi\) |
−0.427872 | + | 0.903839i | \(0.640736\pi\) | |||||||
\(684\) | 17.0690 | + | 2.30978i | 0.652649 | + | 0.0883166i | ||||
\(685\) | 13.8266 | + | 7.98277i | 0.528286 | + | 0.305006i | ||||
\(686\) | 16.4063 | − | 8.59264i | 0.626395 | − | 0.328068i | ||||
\(687\) | 17.1252 | + | 44.2733i | 0.653366 | + | 1.68913i | ||||
\(688\) | −5.40632 | + | 1.96774i | −0.206114 | + | 0.0750193i | ||||
\(689\) | 1.63818 | − | 0.596248i | 0.0624096 | − | 0.0227153i | ||||
\(690\) | −8.82811 | + | 3.41477i | −0.336081 | + | 0.129998i | ||||
\(691\) | 40.8113 | − | 7.19613i | 1.55253 | − | 0.273754i | 0.669410 | − | 0.742893i | \(-0.266547\pi\) |
0.883124 | + | 0.469140i | \(0.155436\pi\) | |||||||
\(692\) | −1.29971 | + | 2.25117i | −0.0494077 | + | 0.0855766i | ||||
\(693\) | −3.07157 | − | 5.73458i | −0.116679 | − | 0.217839i | ||||
\(694\) | 18.5495 | + | 32.1287i | 0.704130 | + | 1.21959i | ||||
\(695\) | 3.01579 | + | 3.59408i | 0.114395 | + | 0.136331i | ||||
\(696\) | −0.979118 | − | 4.96914i | −0.0371134 | − | 0.188355i | ||||
\(697\) | 0.0795468 | − | 0.451132i | 0.00301305 | − | 0.0170878i | ||||
\(698\) | 18.2748 | + | 15.3344i | 0.691712 | + | 0.580415i | ||||
\(699\) | −8.79947 | − | 4.84820i | −0.332826 | − | 0.183376i | ||||
\(700\) | −8.27118 | + | 8.52952i | −0.312621 | + | 0.322385i | ||||
\(701\) | − | 3.87397i | − | 0.146318i | −0.997320 | − | 0.0731588i | \(-0.976692\pi\) | ||
0.997320 | − | 0.0731588i | \(-0.0233080\pi\) | |||||||
\(702\) | −1.24062 | + | 0.0745819i | −0.0468241 | + | 0.00281491i | ||||
\(703\) | − | 13.2484i | − | 0.499672i | ||||||
\(704\) | 0.280320 | − | 0.770173i | 0.0105650 | − | 0.0290270i | ||||
\(705\) | −2.47877 | − | 4.10153i | −0.0933559 | − | 0.154473i | ||||
\(706\) | 2.47572 | − | 2.95045i | 0.0931750 | − | 0.111042i | ||||
\(707\) | −0.120180 | − | 0.0814265i | −0.00451985 | − | 0.00306236i | ||||
\(708\) | 5.78173 | − | 5.05204i | 0.217291 | − | 0.189867i | ||||
\(709\) | −2.99010 | + | 2.50900i | −0.112296 | + | 0.0942273i | −0.697207 | − | 0.716870i | \(-0.745574\pi\) |
0.584911 | + | 0.811098i | \(0.301130\pi\) | |||||||
\(710\) | 3.45565 | + | 5.98536i | 0.129688 | + | 0.224626i | ||||
\(711\) | 31.9976 | + | 10.2157i | 1.20000 | + | 0.383119i | ||||
\(712\) | −12.0033 | − | 6.93011i | −0.449843 | − | 0.259717i | ||||
\(713\) | 9.32555 | + | 52.8878i | 0.349245 | + | 1.98067i | ||||
\(714\) | −0.184340 | + | 0.284159i | −0.00689874 | + | 0.0106344i | ||||
\(715\) | −0.131466 | + | 0.0478496i | −0.00491653 | + | 0.00178947i | ||||
\(716\) | 7.42111 | + | 20.3893i | 0.277340 | + | 0.761985i | ||||
\(717\) | −13.6939 | + | 16.9994i | −0.511409 | + | 0.634856i | ||||
\(718\) | −1.91106 | − | 10.8382i | −0.0713202 | − | 0.404477i | ||||
\(719\) | 15.2739 | − | 26.4552i | 0.569620 | − | 0.986611i | −0.426983 | − | 0.904260i | \(-0.640424\pi\) |
0.996603 | − | 0.0823517i | \(-0.0262431\pi\) | |||||||
\(720\) | 2.13923 | − | 0.0856786i | 0.0797245 | − | 0.00319305i | ||||
\(721\) | 0.0859118 | + | 0.834063i | 0.00319952 | + | 0.0310621i | ||||
\(722\) | −8.97654 | − | 10.6978i | −0.334072 | − | 0.398132i | ||||
\(723\) | −4.68597 | + | 13.7231i | −0.174273 | + | 0.510369i | ||||
\(724\) | −20.8816 | − | 3.68198i | −0.776057 | − | 0.136840i | ||||
\(725\) | −8.44060 | + | 10.0591i | −0.313476 | + | 0.373586i | ||||
\(726\) | 0.358023 | + | 17.8855i | 0.0132875 | + | 0.663792i | ||||
\(727\) | −16.7519 | + | 46.0255i | −0.621294 | + | 1.70699i | 0.0825047 | + | 0.996591i | \(0.473708\pi\) |
−0.703798 | + | 0.710400i | \(0.748514\pi\) | |||||||
\(728\) | 0.258596 | − | 0.577584i | 0.00958422 | − | 0.0214067i | ||||
\(729\) | 26.8055 | − | 3.23462i | 0.992798 | − | 0.119801i | ||||
\(730\) | 6.41214 | 0.237324 | ||||||||
\(731\) | 0.399600 | + | 0.145443i | 0.0147797 | + | 0.00537939i | ||||
\(732\) | 0.211652 | + | 10.5733i | 0.00782288 | + | 0.390802i | ||||
\(733\) | −26.5127 | + | 31.5966i | −0.979267 | + | 1.16705i | 0.00667803 | + | 0.999978i | \(0.497874\pi\) |
−0.985945 | + | 0.167068i | \(0.946570\pi\) | |||||||
\(734\) | 5.89567 | − | 33.4360i | 0.217613 | − | 1.23415i | ||||
\(735\) | 3.36811 | + | 7.97008i | 0.124235 | + | 0.293981i | ||||
\(736\) | 5.86616 | − | 4.92229i | 0.216229 | − | 0.181438i | ||||
\(737\) | −6.26786 | + | 3.61875i | −0.230880 | + | 0.133298i | ||||
\(738\) | −0.744073 | − | 18.5781i | −0.0273897 | − | 0.683870i | ||||
\(739\) | −26.6979 | + | 46.2421i | −0.982099 | + | 1.70104i | −0.327918 | + | 0.944706i | \(0.606347\pi\) |
−0.654181 | + | 0.756338i | \(0.726986\pi\) | |||||||
\(740\) | −0.285951 | − | 1.62171i | −0.0105117 | − | 0.0596151i | ||||
\(741\) | 1.85237 | + | 1.49218i | 0.0680485 | + | 0.0548166i | ||||
\(742\) | 1.38511 | − | 19.2337i | 0.0508491 | − | 0.706090i | ||||
\(743\) | −7.47608 | − | 20.5404i | −0.274271 | − | 0.753553i | −0.997985 | − | 0.0634528i | \(-0.979789\pi\) |
0.723714 | − | 0.690100i | \(-0.242433\pi\) | |||||||
\(744\) | 1.86946 | − | 12.0022i | 0.0685376 | − | 0.440021i | ||||
\(745\) | −5.51127 | + | 0.971785i | −0.201917 | + | 0.0356035i | ||||
\(746\) | 13.0284 | + | 7.52194i | 0.477003 | + | 0.275398i | ||||
\(747\) | 21.6891 | + | 6.92457i | 0.793562 | + | 0.253357i | ||||
\(748\) | −0.0524635 | + | 0.0302898i | −0.00191826 | + | 0.00110751i | ||||
\(749\) | −38.4130 | + | 10.9284i | −1.40358 | + | 0.399316i | ||||
\(750\) | −7.71904 | − | 8.83393i | −0.281859 | − | 0.322570i | ||||
\(751\) | 7.80956 | − | 44.2902i | 0.284975 | − | 1.61617i | −0.420400 | − | 0.907339i | \(-0.638110\pi\) |
0.705375 | − | 0.708834i | \(-0.250779\pi\) | |||||||
\(752\) | 2.97002 | + | 2.49214i | 0.108305 | + | 0.0908791i | ||||
\(753\) | −7.64711 | − | 12.6534i | −0.278676 | − | 0.461115i | ||||
\(754\) | 0.239212 | − | 0.657228i | 0.00871157 | − | 0.0239348i | ||||
\(755\) | −7.39864 | −0.269264 | ||||||||
\(756\) | −4.85471 | + | 12.8620i | −0.176564 | + | 0.467788i | ||||
\(757\) | 18.5639 | 0.674716 | 0.337358 | − | 0.941376i | \(-0.390467\pi\) | ||||
0.337358 | + | 0.941376i | \(0.390467\pi\) | |||||||
\(758\) | −4.03745 | + | 11.0928i | −0.146647 | + | 0.402909i | ||||
\(759\) | 5.24591 | − | 9.52131i | 0.190414 | − | 0.345602i | ||||
\(760\) | −3.13881 | − | 2.63378i | −0.113857 | − | 0.0955371i | ||||
\(761\) | −2.63205 | + | 14.9271i | −0.0954119 | + | 0.541108i | 0.899208 | + | 0.437520i | \(0.144143\pi\) |
−0.994620 | + | 0.103587i | \(0.966968\pi\) | |||||||
\(762\) | −18.0534 | + | 3.55725i | −0.654007 | + | 0.128866i | ||||
\(763\) | 6.12684 | + | 21.5356i | 0.221806 | + | 0.779641i | ||||
\(764\) | −12.6031 | + | 7.27640i | −0.455964 | + | 0.263251i | ||||
\(765\) | −0.125196 | − | 0.0967852i | −0.00452648 | − | 0.00349928i | ||||
\(766\) | 24.3776 | + | 14.0744i | 0.880798 | + | 0.508529i | ||||
\(767\) | 1.04419 | − | 0.184118i | 0.0377033 | − | 0.00664812i | ||||
\(768\) | −1.61541 | + | 0.624852i | −0.0582912 | + | 0.0225474i | ||||
\(769\) | −1.90231 | − | 5.22656i | −0.0685992 | − | 0.188475i | 0.900656 | − | 0.434533i | \(-0.143087\pi\) |
−0.969255 | + | 0.246059i | \(0.920864\pi\) | |||||||
\(770\) | −0.111157 | + | 1.54352i | −0.00400581 | + | 0.0556247i | ||||
\(771\) | −19.0764 | + | 7.37888i | −0.687021 | + | 0.265744i | ||||
\(772\) | 3.20657 | + | 18.1854i | 0.115407 | + | 0.654506i | ||||
\(773\) | −16.8074 | + | 29.1112i | −0.604519 | + | 1.04706i | 0.387608 | + | 0.921824i | \(0.373301\pi\) |
−0.992127 | + | 0.125234i | \(0.960032\pi\) | |||||||
\(774\) | 17.1040 | + | 2.31451i | 0.614789 | + | 0.0831934i | ||||
\(775\) | −27.2741 | + | 15.7467i | −0.979714 | + | 0.565638i | ||||
\(776\) | −6.01372 | + | 5.04611i | −0.215880 | + | 0.181145i | ||||
\(777\) | 10.3043 | + | 2.37368i | 0.369664 | + | 0.0851554i | ||||
\(778\) | 0.820757 | − | 4.65475i | 0.0294256 | − | 0.166881i | ||||
\(779\) | −22.8730 | + | 27.2589i | −0.819509 | + | 0.976653i | ||||
\(780\) | 0.258952 | + | 0.142673i | 0.00927195 | + | 0.00510852i | ||||
\(781\) | −7.45870 | − | 2.71474i | −0.266893 | − | 0.0971412i | ||||
\(782\) | −0.566009 | −0.0202405 | ||||||||
\(783\) | −4.33052 | + | 14.5638i | −0.154760 | + | 0.520469i | ||||
\(784\) | −4.66226 | − | 5.22143i | −0.166509 | − | 0.186480i | ||||
\(785\) | 3.84214 | − | 10.5562i | 0.137132 | − | 0.376766i | ||||
\(786\) | −15.4516 | + | 9.33819i | −0.551139 | + | 0.333082i | ||||
\(787\) | 32.0512 | − | 38.1971i | 1.14250 | − | 1.36158i | 0.220038 | − | 0.975491i | \(-0.429382\pi\) |
0.922462 | − | 0.386088i | \(-0.126174\pi\) | |||||||
\(788\) | 2.67590 | + | 0.471834i | 0.0953251 | + | 0.0168084i | ||||
\(789\) | 13.0168 | + | 14.8969i | 0.463410 | + | 0.530342i | ||||
\(790\) | −5.13600 | − | 6.12085i | −0.182731 | − | 0.217770i | ||||
\(791\) | −3.06527 | − | 29.7588i | −0.108989 | − | 1.05810i | ||||
\(792\) | −1.81879 | + | 1.65460i | −0.0646280 | + | 0.0587936i | ||||
\(793\) | −0.730210 | + | 1.26476i | −0.0259305 | + | 0.0449130i | ||||
\(794\) | −0.615189 | − | 3.48891i | −0.0218322 | − | 0.123817i | ||||
\(795\) | 8.90177 | + | 1.38654i | 0.315713 | + | 0.0491754i | ||||
\(796\) | 5.92531 | + | 16.2797i | 0.210017 | + | 0.577017i | ||||
\(797\) | 15.5955 | − | 5.67629i | 0.552420 | − | 0.201064i | −0.0507014 | − | 0.998714i | \(-0.516146\pi\) |
0.603121 | + | 0.797649i | \(0.293923\pi\) | |||||||
\(798\) | 23.4374 | − | 11.9563i | 0.829676 | − | 0.423247i | ||||
\(799\) | −0.0497622 | − | 0.282216i | −0.00176046 | − | 0.00998407i | ||||
\(800\) | 3.88906 | + | 2.24535i | 0.137499 | + | 0.0793852i | ||||
\(801\) | 22.2147 | + | 35.1490i | 0.784920 | + | 1.24193i | ||||
\(802\) | 0.160360 | + | 0.277753i | 0.00566253 | + | 0.00980778i | ||||
\(803\) | −5.64124 | + | 4.73357i | −0.199075 | + | 0.167044i | ||||
\(804\) | 14.4743 | + | 4.94247i | 0.510470 | + | 0.174308i | ||||
\(805\) | −8.11017 | + | 11.9701i | −0.285846 | + | 0.421890i | ||||
\(806\) | 1.07823 | − | 1.28498i | 0.0379790 | − | 0.0452617i | ||||
\(807\) | −45.3337 | + | 0.907468i | −1.59582 | + | 0.0319444i | ||||
\(808\) | −0.0187660 | + | 0.0515592i | −0.000660186 | + | 0.00181385i | ||||
\(809\) | 14.7416i | 0.518286i | 0.965839 | + | 0.259143i | \(0.0834400\pi\) | ||||
−0.965839 | + | 0.259143i | \(0.916560\pi\) | |||||||
\(810\) | −5.80136 | − | 2.75629i | −0.203839 | − | 0.0968462i | ||||
\(811\) | 11.8794i | 0.417141i | 0.978007 | + | 0.208570i | \(0.0668811\pi\) | ||||
−0.978007 | + | 0.208570i | \(0.933119\pi\) | |||||||
\(812\) | −5.55394 | − | 5.38572i | −0.194905 | − | 0.189002i | ||||
\(813\) | 0.266997 | + | 13.3382i | 0.00936399 | + | 0.467790i | ||||
\(814\) | 1.44875 | + | 1.21564i | 0.0507785 | + | 0.0426082i | ||||
\(815\) | −1.29645 | + | 7.35254i | −0.0454127 | + | 0.257548i | ||||
\(816\) | 0.121154 | + | 0.0413697i | 0.00424122 | + | 0.00144823i | ||||
\(817\) | −21.2329 | − | 25.3044i | −0.742846 | − | 0.885289i | ||||
\(818\) | −3.45268 | − | 5.98022i | −0.120720 | − | 0.209094i | ||||
\(819\) | −1.49247 | + | 1.17338i | −0.0521510 | + | 0.0410012i | ||||
\(820\) | −2.21148 | + | 3.83040i | −0.0772282 | + | 0.133763i | ||||
\(821\) | −50.6816 | + | 8.93654i | −1.76880 | + | 0.311887i | −0.960789 | − | 0.277280i | \(-0.910567\pi\) |
−0.808011 | + | 0.589167i | \(0.799456\pi\) | |||||||
\(822\) | 30.1759 | + | 24.3083i | 1.05251 | + | 0.847848i | ||||
\(823\) | 46.5180 | − | 16.9312i | 1.62152 | − | 0.590183i | 0.637846 | − | 0.770164i | \(-0.279826\pi\) |
0.983670 | + | 0.179981i | \(0.0576035\pi\) | |||||||
\(824\) | 0.297802 | − | 0.108391i | 0.0103744 | − | 0.00377598i | ||||
\(825\) | 6.29901 | + | 0.981132i | 0.219303 | + | 0.0341586i | ||||
\(826\) | 2.86098 | − | 11.3740i | 0.0995461 | − | 0.395753i | ||||
\(827\) | 10.6347 | + | 6.13993i | 0.369804 | + | 0.213506i | 0.673373 | − | 0.739303i | \(-0.264845\pi\) |
−0.303569 | + | 0.952809i | \(0.598178\pi\) | |||||||
\(828\) | −22.4464 | + | 4.89145i | −0.780066 | + | 0.169990i | ||||
\(829\) | −14.1401 | + | 8.16379i | −0.491106 | + | 0.283540i | −0.725033 | − | 0.688714i | \(-0.758176\pi\) |
0.233927 | + | 0.972254i | \(0.424842\pi\) | |||||||
\(830\) | −3.48136 | − | 4.14893i | −0.120840 | − | 0.144011i | ||||
\(831\) | 0.960142 | − | 0.838966i | 0.0333070 | − | 0.0291034i | ||||
\(832\) | −0.235554 | − | 0.0415345i | −0.00816637 | − | 0.00143995i | ||||
\(833\) | 0.0159079 | + | 0.517150i | 0.000551177 | + | 0.0179182i | ||||
\(834\) | 5.88972 | + | 9.74551i | 0.203944 | + | 0.337459i | ||||
\(835\) | −9.26155 | − | 3.37093i | −0.320509 | − | 0.116656i | ||||
\(836\) | 4.70575 | 0.162752 | ||||||||
\(837\) | −21.7063 | + | 29.2705i | −0.750278 | + | 1.01174i | ||||
\(838\) | − | 27.0070i | − | 0.932942i | ||||||
\(839\) | −1.76407 | − | 0.642068i | −0.0609023 | − | 0.0221666i | 0.311389 | − | 0.950282i | \(-0.399206\pi\) |
−0.372292 | + | 0.928116i | \(0.621428\pi\) | |||||||
\(840\) | 2.61087 | − | 1.96941i | 0.0900834 | − | 0.0679511i | ||||
\(841\) | 15.6654 | + | 13.1448i | 0.540185 | + | 0.453269i | ||||
\(842\) | −29.5048 | − | 5.20249i | −1.01680 | − | 0.179290i | ||||
\(843\) | 23.1250 | − | 4.55654i | 0.796466 | − | 0.156936i | ||||
\(844\) | −4.69428 | + | 3.93896i | −0.161584 | + | 0.135585i | ||||
\(845\) | −4.61830 | − | 7.99914i | −0.158875 | − | 0.275179i | ||||
\(846\) | −4.41234 | − | 10.7618i | −0.151699 | − | 0.370000i | ||||
\(847\) | 16.0158 | + | 22.1405i | 0.550311 | + | 0.760757i | ||||
\(848\) | −7.17774 | + | 1.26563i | −0.246485 | + | 0.0434619i | ||||
\(849\) | 0.809424 | + | 2.09259i | 0.0277794 | + | 0.0718173i | ||||
\(850\) | −0.113525 | − | 0.311906i | −0.00389386 | − | 0.0106983i | ||||
\(851\) | 6.04348 | + | 16.6043i | 0.207168 | + | 0.569189i | ||||
\(852\) | 6.05134 | + | 15.6444i | 0.207315 | + | 0.535968i | ||||
\(853\) | −5.06762 | + | 0.893558i | −0.173512 | + | 0.0305949i | −0.259729 | − | 0.965682i | \(-0.583633\pi\) |
0.0862170 | + | 0.996276i | \(0.472522\pi\) | |||||||
\(854\) | 9.46807 | + | 13.0888i | 0.323991 | + | 0.447889i | ||||
\(855\) | 4.66310 | + | 11.3735i | 0.159475 | + | 0.388964i | ||||
\(856\) | 7.54744 | + | 13.0726i | 0.257966 | + | 0.446811i | ||||
\(857\) | 40.8635 | − | 34.2885i | 1.39587 | − | 1.17127i | 0.432973 | − | 0.901407i | \(-0.357464\pi\) |
0.962897 | − | 0.269868i | \(-0.0869800\pi\) | |||||||
\(858\) | −0.333143 | + | 0.0656425i | −0.0113733 | + | 0.00224100i | ||||
\(859\) | 3.96424 | + | 0.699003i | 0.135258 | + | 0.0238497i | 0.240867 | − | 0.970558i | \(-0.422568\pi\) |
−0.105609 | + | 0.994408i | \(0.533679\pi\) | |||||||
\(860\) | −3.14524 | − | 2.63917i | −0.107252 | − | 0.0899950i | ||||
\(861\) | −17.1033 | − | 22.6740i | −0.582878 | − | 0.772728i | ||||
\(862\) | −1.79999 | − | 0.655143i | −0.0613080 | − | 0.0223143i | ||||
\(863\) | 22.4636i | 0.764669i | 0.924024 | + | 0.382335i | \(0.124880\pi\) | ||||
−0.924024 | + | 0.382335i | \(0.875120\pi\) | |||||||
\(864\) | 5.16214 | + | 0.593600i | 0.175619 | + | 0.0201947i | ||||
\(865\) | −1.85508 | −0.0630745 | ||||||||
\(866\) | −20.7878 | − | 7.56615i | −0.706399 | − | 0.257108i | ||||
\(867\) | 15.2249 | + | 25.1921i | 0.517066 | + | 0.855570i | ||||
\(868\) | −8.09918 | − | 16.6937i | −0.274904 | − | 0.566622i | ||||
\(869\) | 9.03706 | + | 1.59348i | 0.306561 | + | 0.0540550i | ||||
\(870\) | 2.72174 | − | 2.37824i | 0.0922757 | − | 0.0806300i | ||||
\(871\) | 1.35767 | + | 1.61800i | 0.0460027 | + | 0.0548239i | ||||
\(872\) | 7.32891 | − | 4.23135i | 0.248188 | − | 0.143291i | ||||
\(873\) | 23.0110 | − | 5.01450i | 0.778806 | − | 0.169715i | ||||
\(874\) | 38.0765 | + | 21.9835i | 1.28796 | + | 0.743602i | ||||
\(875\) | −17.3784 | − | 4.37130i | −0.587498 | − | 0.147777i | ||||
\(876\) | 15.3771 | + | 2.39513i | 0.519543 | + | 0.0809239i | ||||
\(877\) | 19.3310 | − | 7.03589i | 0.652760 | − | 0.237585i | 0.00565254 | − | 0.999984i | \(-0.498201\pi\) |
0.647107 | + | 0.762399i | \(0.275979\pi\) | |||||||
\(878\) | −20.7038 | + | 7.53557i | −0.698720 | + | 0.254313i | ||||
\(879\) | −17.6748 | − | 14.2380i | −0.596156 | − | 0.480235i | ||||
\(880\) | 0.576021 | − | 0.101568i | 0.0194177 | − | 0.00342386i | ||||
\(881\) | 23.3665 | − | 40.4720i | 0.787238 | − | 1.36354i | −0.140415 | − | 0.990093i | \(-0.544844\pi\) |
0.927653 | − | 0.373443i | \(-0.121823\pi\) | |||||||
\(882\) | 5.10007 | + | 20.3713i | 0.171728 | + | 0.685937i | ||||
\(883\) | −13.5242 | − | 23.4246i | −0.455125 | − | 0.788300i | 0.543570 | − | 0.839364i | \(-0.317072\pi\) |
−0.998695 | + | 0.0510637i | \(0.983739\pi\) | |||||||
\(884\) | 0.0113640 | + | 0.0135431i | 0.000382212 | + | 0.000455503i | ||||
\(885\) | 5.18542 | + | 1.77064i | 0.174306 | + | 0.0595193i | ||||
\(886\) | 4.21480 | − | 23.9033i | 0.141599 | − | 0.803047i | ||||
\(887\) | −37.1463 | − | 31.1694i | −1.24725 | − | 1.04657i | −0.996921 | − | 0.0784069i | \(-0.975017\pi\) |
−0.250329 | − | 0.968161i | \(-0.580539\pi\) | |||||||
\(888\) | −0.0799871 | − | 3.99585i | −0.00268419 | − | 0.134092i | ||||
\(889\) | −19.5670 | + | 20.1781i | −0.656254 | + | 0.676752i | ||||
\(890\) | − | 9.89133i | − | 0.331558i | ||||||
\(891\) | 7.13864 | − | 1.85775i | 0.239153 | − | 0.0622371i | ||||
\(892\) | 27.1046i | 0.907528i | ||||||||
\(893\) | −7.61349 | + | 20.9179i | −0.254776 | + | 0.699991i | ||||
\(894\) | −13.5797 | + | 0.271831i | −0.454172 | + | 0.00909140i | ||||
\(895\) | −9.95335 | + | 11.8619i | −0.332704 | + | 0.396501i | ||||
\(896\) | −1.48404 | + | 2.19035i | −0.0495783 | + | 0.0731744i | ||||
\(897\) | −3.00228 | − | 1.02517i | −0.100243 | − | 0.0342295i | ||||
\(898\) | 9.09905 | − | 7.63501i | 0.303639 | − | 0.254784i | ||||
\(899\) | −10.2534 | − | 17.7593i | −0.341969 | − | 0.592307i | ||||
\(900\) | −7.19757 | − | 11.3883i | −0.239919 | − | 0.379609i | ||||
\(901\) | 0.466542 | + | 0.269358i | 0.0155428 | + | 0.00897363i | ||||
\(902\) | −0.882066 | − | 5.00244i | −0.0293696 | − | 0.166563i | ||||
\(903\) | 23.4855 | − | 11.9808i | 0.781547 | − | 0.398695i | ||||
\(904\) | −10.6254 | + | 3.86732i | −0.353394 | + | 0.128625i | ||||
\(905\) | −5.17545 | − | 14.2194i | −0.172038 | − | 0.472669i | ||||
\(906\) | −17.7428 | − | 2.76361i | −0.589465 | − | 0.0918149i | ||||
\(907\) | 9.11278 | + | 51.6811i | 0.302585 | + | 1.71604i | 0.634660 | + | 0.772791i | \(0.281140\pi\) |
−0.332076 | + | 0.943253i | \(0.607749\pi\) | |||||||
\(908\) | −10.8856 | + | 18.8544i | −0.361252 | + | 0.625707i | ||||
\(909\) | 0.121759 | − | 0.110767i | 0.00403849 | − | 0.00367391i | ||||
\(910\) | 0.449243 | − | 0.0462738i | 0.0148923 | − | 0.00153396i | ||||
\(911\) | −9.09866 | − | 10.8434i | −0.301452 | − | 0.359257i | 0.593960 | − | 0.804494i | \(-0.297564\pi\) |
−0.895412 | + | 0.445238i | \(0.853119\pi\) | |||||||
\(912\) | −6.54345 | − | 7.48855i | −0.216675 | − | 0.247971i | ||||
\(913\) | 6.12563 | + | 1.08011i | 0.202729 | + | 0.0357466i | ||||
\(914\) | −1.48615 | + | 1.77112i | −0.0491573 | + | 0.0585834i | ||||
\(915\) | −6.45920 | + | 3.90364i | −0.213535 | + | 0.129050i | ||||
\(916\) | 9.37368 | − | 25.7540i | 0.309715 | − | 0.850935i | ||||
\(917\) | −11.2694 | + | 25.1706i | −0.372148 | + | 0.831205i | ||||
\(918\) | −0.264083 | − | 0.278867i | −0.00871604 | − | 0.00920398i | ||||
\(919\) | −37.0571 | −1.22240 | −0.611200 | − | 0.791476i | \(-0.709313\pi\) | ||||
−0.611200 | + | 0.791476i | \(0.709313\pi\) | |||||||
\(920\) | 5.13535 | + | 1.86911i | 0.169307 | + | 0.0616229i | ||||
\(921\) | 28.9971 | + | 15.9764i | 0.955487 | + | 0.526440i | ||||
\(922\) | −14.3065 | + | 17.0499i | −0.471161 | + | 0.561508i | ||||
\(923\) | −0.402239 | + | 2.28121i | −0.0132399 | + | 0.0750870i | ||||
\(924\) | −0.843119 | + | 3.66003i | −0.0277366 | + | 0.120406i | ||||
\(925\) | −7.93788 | + | 6.66067i | −0.260996 | + | 0.219002i | ||||
\(926\) | −14.7127 | + | 8.49439i | −0.483490 | + | 0.279143i | ||||
\(927\) | −0.942156 | − | 0.127493i | −0.0309445 | − | 0.00418741i | ||||
\(928\) | −1.46205 | + | 2.53234i | −0.0479940 | + | 0.0831281i | ||||
\(929\) | −4.33954 | − | 24.6107i | −0.142376 | − | 0.807452i | −0.969437 | − | 0.245341i | \(-0.921100\pi\) |
0.827061 | − | 0.562112i | \(-0.190011\pi\) | |||||||
\(930\) | 8.08487 | − | 3.12728i | 0.265113 | − | 0.102547i | ||||
\(931\) | 19.0157 | − | 35.4075i | 0.623213 | − | 1.16043i | ||||
\(932\) | 1.98387 | + | 5.45064i | 0.0649839 | + | 0.178542i | ||||
\(933\) | 16.1021 | − | 6.22838i | 0.527159 | − | 0.203908i | ||||
\(934\) | 31.4333 | − | 5.54254i | 1.02853 | − | 0.181357i | ||||
\(935\) | −0.0374405 | − | 0.0216163i | −0.00122444 | − | 0.000706928i | ||||
\(936\) | 0.567704 | + | 0.438874i | 0.0185560 | + | 0.0143450i | ||||
\(937\) | 48.7622 | − | 28.1529i | 1.59299 | − | 0.919715i | 0.600202 | − | 0.799848i | \(-0.295087\pi\) |
0.992790 | − | 0.119866i | \(-0.0382466\pi\) | |||||||
\(938\) | 22.4716 | − | 6.39314i | 0.733725 | − | 0.208743i | ||||
\(939\) | 38.2634 | − | 7.53942i | 1.24868 | − | 0.246040i | ||||
\(940\) | −0.480463 | + | 2.72484i | −0.0156710 | + | 0.0888746i | ||||
\(941\) | −35.4452 | − | 29.7421i | −1.15548 | − | 0.969563i | −0.155647 | − | 0.987813i | \(-0.549746\pi\) |
−0.999833 | + | 0.0182494i | \(0.994191\pi\) | |||||||
\(942\) | 13.1569 | − | 23.8798i | 0.428676 | − | 0.778046i | ||||
\(943\) | 16.2323 | − | 44.5978i | 0.528596 | − | 1.45230i | ||||
\(944\) | −4.43289 | −0.144278 | ||||||||
\(945\) | −9.68150 | + | 1.58909i | −0.314939 | + | 0.0516933i | ||||
\(946\) | 4.71539 | 0.153311 | ||||||||
\(947\) | −0.0813271 | + | 0.223444i | −0.00264278 | + | 0.00726097i | −0.941007 | − | 0.338387i | \(-0.890119\pi\) |
0.938364 | + | 0.345648i | \(0.112341\pi\) | |||||||
\(948\) | −10.0304 | − | 16.5970i | −0.325773 | − | 0.539045i | ||||
\(949\) | 1.64631 | + | 1.38142i | 0.0534415 | + | 0.0448427i | ||||
\(950\) | −4.47725 | + | 25.3918i | −0.145261 | + | 0.823817i | ||||
\(951\) | 14.3304 | + | 16.4002i | 0.464696 | + | 0.531814i | ||||
\(952\) | 0.188093 | − | 0.0535121i | 0.00609613 | − | 0.00173434i | ||||
\(953\) | 17.1648 | − | 9.91010i | 0.556022 | − | 0.321020i | −0.195525 | − | 0.980699i | \(-0.562641\pi\) |
0.751547 | + | 0.659679i | \(0.229308\pi\) | |||||||
\(954\) | 20.8296 | + | 6.65016i | 0.674383 | + | 0.215307i | ||||
\(955\) | −8.99419 | − | 5.19280i | −0.291045 | − | 0.168035i | ||||
\(956\) | 12.4115 | − | 2.18848i | 0.401417 | − | 0.0707806i | ||||
\(957\) | −0.638858 | + | 4.10156i | −0.0206513 | + | 0.132585i | ||||
\(958\) | −5.90565 | − | 16.2256i | −0.190803 | − | 0.524227i | ||||
\(959\) | 59.0371 | + | 4.25156i | 1.90641 | + | 0.137290i | ||||
\(960\) | −0.962601 | − | 0.775425i | −0.0310678 | − | 0.0250267i | ||||
\(961\) | −3.15734 | − | 17.9062i | −0.101850 | − | 0.577618i | ||||
\(962\) | 0.275959 | − | 0.477976i | 0.00889729 | − | 0.0154106i | ||||
\(963\) | −1.81225 | − | 45.2484i | −0.0583988 | − | 1.45811i | ||||
\(964\) | 7.25057 | − | 4.18612i | 0.233525 | − | 0.134826i | ||||
\(965\) | −10.0951 | + | 8.47077i | −0.324972 | + | 0.272684i | ||||
\(966\) | −23.9203 | + | 25.6763i | −0.769624 | + | 0.826122i | ||||
\(967\) | 6.00483 | − | 34.0551i | 0.193102 | − | 1.09514i | −0.721993 | − | 0.691900i | \(-0.756774\pi\) |
0.915096 | − | 0.403237i | \(-0.132115\pi\) | |||||||
\(968\) | 6.63887 | − | 7.91190i | 0.213381 | − | 0.254298i | ||||
\(969\) | 0.0147107 | + | 0.734894i | 0.000472577 | + | 0.0236082i | ||||
\(970\) | −5.26454 | − | 1.91613i | −0.169034 | − | 0.0615234i | ||||
\(971\) | 49.4498 | 1.58692 | 0.793460 | − | 0.608622i | \(-0.208278\pi\) | ||||
0.793460 | + | 0.608622i | \(0.208278\pi\) | |||||||
\(972\) | −12.8828 | − | 8.77690i | −0.413215 | − | 0.281519i | ||||
\(973\) | 15.8754 | + | 7.10775i | 0.508942 | + | 0.227864i | ||||
\(974\) | 3.05946 | − | 8.40580i | 0.0980315 | − | 0.269339i | ||||
\(975\) | −0.0372338 | − | 1.86006i | −0.00119244 | − | 0.0595696i | ||||
\(976\) | 3.92470 | − | 4.67727i | 0.125626 | − | 0.149716i | ||||
\(977\) | 5.23042 | + | 0.922265i | 0.167336 | + | 0.0295059i | 0.256688 | − | 0.966494i | \(-0.417369\pi\) |
−0.0893523 | + | 0.996000i | \(0.528480\pi\) | |||||||
\(978\) | −5.85544 | + | 17.1480i | −0.187236 | + | 0.548333i | ||||
\(979\) | 7.30197 | + | 8.70215i | 0.233372 | + | 0.278122i | ||||
\(980\) | 1.56344 | − | 4.74459i | 0.0499422 | − | 0.151560i | ||||
\(981\) | −25.3677 | + | 1.01601i | −0.809929 | + | 0.0324386i | ||||
\(982\) | 4.89752 | − | 8.48275i | 0.156286 | − | 0.270695i | ||||
\(983\) | −7.74067 | − | 43.8995i | −0.246889 | − | 1.40018i | −0.816065 | − | 0.577961i | \(-0.803849\pi\) |
0.569176 | − | 0.822216i | \(-0.307262\pi\) | |||||||
\(984\) | −6.73416 | + | 8.35969i | −0.214677 | + | 0.266497i | ||||
\(985\) | 0.663216 | + | 1.82217i | 0.0211318 | + | 0.0580592i | ||||
\(986\) | 0.203096 | − | 0.0739209i | 0.00646789 | − | 0.00235412i | ||||
\(987\) | −14.9054 | − | 9.66941i | −0.474443 | − | 0.307781i | ||||
\(988\) | −0.238471 | − | 1.35244i | −0.00758678 | − | 0.0430268i | ||||
\(989\) | 38.1545 | + | 22.0285i | 1.21324 | + | 0.700466i | ||||
\(990\) | −1.67160 | − | 0.533682i | −0.0531268 | − | 0.0169615i | ||||
\(991\) | 7.07401 | + | 12.2525i | 0.224713 | + | 0.389215i | 0.956233 | − | 0.292605i | \(-0.0945221\pi\) |
−0.731520 | + | 0.681820i | \(0.761189\pi\) | |||||||
\(992\) | −5.37228 | + | 4.50788i | −0.170570 | + | 0.143125i | ||||
\(993\) | −1.18089 | + | 1.03186i | −0.0374745 | + | 0.0327450i | ||||
\(994\) | 21.2123 | + | 14.3721i | 0.672814 | + | 0.455855i | ||||
\(995\) | −7.94715 | + | 9.47105i | −0.251942 | + | 0.300252i | ||||
\(996\) | −6.79897 | − | 11.2500i | −0.215434 | − | 0.356470i | ||||
\(997\) | −11.2305 | + | 30.8554i | −0.355672 | + | 0.977202i | 0.624841 | + | 0.780752i | \(0.285164\pi\) |
−0.980514 | + | 0.196450i | \(0.937059\pi\) | |||||||
\(998\) | − | 11.0706i | − | 0.350435i | ||||||
\(999\) | −5.36107 | + | 10.7246i | −0.169617 | + | 0.339313i |
(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 | 378.2.z.a.293.24 | yes | 144 | |
7.6 | odd | 2 | inner | 378.2.z.a.293.13 | yes | 144 | |
27.20 | odd | 18 | inner | 378.2.z.a.209.13 | ✓ | 144 | |
189.20 | even | 18 | inner | 378.2.z.a.209.24 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.z.a.209.13 | ✓ | 144 | 27.20 | odd | 18 | inner | |
378.2.z.a.209.24 | yes | 144 | 189.20 | even | 18 | inner | |
378.2.z.a.293.13 | yes | 144 | 7.6 | odd | 2 | inner | |
378.2.z.a.293.24 | yes | 144 | 1.1 | even | 1 | trivial |