Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(5,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.19 | ||
Character | \(\chi\) | \(=\) | 168.101 |
Dual form | 168.2.ba.c.5.19 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07638 | − | 0.917276i | 0.761119 | − | 0.648612i | ||||
\(3\) | −0.0574700 | − | 1.73110i | −0.0331803 | − | 0.999449i | ||||
\(4\) | 0.317209 | − | 1.97468i | 0.158605 | − | 0.987342i | ||||
\(5\) | 0.461663 | − | 0.266541i | 0.206462 | − | 0.119201i | −0.393204 | − | 0.919451i | \(-0.628633\pi\) |
0.599666 | + | 0.800250i | \(0.295300\pi\) | |||||||
\(6\) | −1.64975 | − | 1.81061i | −0.673509 | − | 0.739179i | ||||
\(7\) | 0.489180 | + | 2.60014i | 0.184893 | + | 0.982759i | ||||
\(8\) | −1.46989 | − | 2.41649i | −0.519685 | − | 0.854358i | ||||
\(9\) | −2.99339 | + | 0.198972i | −0.997798 | + | 0.0663241i | ||||
\(10\) | 0.252435 | − | 0.710374i | 0.0798270 | − | 0.224640i | ||||
\(11\) | −2.28733 | + | 3.96177i | −0.689656 | + | 1.19452i | 0.282293 | + | 0.959328i | \(0.408905\pi\) |
−0.971949 | + | 0.235191i | \(0.924428\pi\) | |||||||
\(12\) | −3.43660 | − | 0.435635i | −0.992061 | − | 0.125757i | ||||
\(13\) | 4.97924 | 1.38099 | 0.690496 | − | 0.723336i | \(-0.257392\pi\) | ||||
0.690496 | + | 0.723336i | \(0.257392\pi\) | |||||||
\(14\) | 2.91159 | + | 2.35003i | 0.778155 | + | 0.628073i | ||||
\(15\) | −0.487941 | − | 0.783866i | −0.125986 | − | 0.202393i | ||||
\(16\) | −3.79876 | − | 1.25278i | −0.949689 | − | 0.313194i | ||||
\(17\) | 2.16139 | − | 3.74363i | 0.524213 | − | 0.907964i | −0.475389 | − | 0.879775i | \(-0.657693\pi\) |
0.999603 | − | 0.0281884i | \(-0.00897383\pi\) | |||||||
\(18\) | −3.03953 | + | 2.95994i | −0.716425 | + | 0.697665i | ||||
\(19\) | −0.921087 | − | 1.59537i | −0.211312 | − | 0.366003i | 0.740814 | − | 0.671711i | \(-0.234440\pi\) |
−0.952125 | + | 0.305708i | \(0.901107\pi\) | |||||||
\(20\) | −0.379891 | − | 0.996188i | −0.0849463 | − | 0.222754i | ||||
\(21\) | 4.47297 | − | 0.996248i | 0.976083 | − | 0.217399i | ||||
\(22\) | 1.17199 | + | 6.36250i | 0.249869 | + | 1.35649i | ||||
\(23\) | −0.103387 | + | 0.0596907i | −0.0215577 | + | 0.0124464i | −0.510740 | − | 0.859735i | \(-0.670629\pi\) |
0.489182 | + | 0.872182i | \(0.337295\pi\) | |||||||
\(24\) | −4.09870 | + | 2.68340i | −0.836644 | + | 0.547747i | ||||
\(25\) | −2.35791 | + | 4.08402i | −0.471582 | + | 0.816804i | ||||
\(26\) | 5.35958 | − | 4.56734i | 1.05110 | − | 0.895729i | ||||
\(27\) | 0.516471 | + | 5.17042i | 0.0993949 | + | 0.995048i | ||||
\(28\) | 5.28962 | − | 0.141190i | 0.999644 | − | 0.0266824i | ||||
\(29\) | 7.74542 | 1.43829 | 0.719144 | − | 0.694861i | \(-0.244534\pi\) | ||||
0.719144 | + | 0.694861i | \(0.244534\pi\) | |||||||
\(30\) | −1.24423 | − | 0.396165i | −0.227165 | − | 0.0723294i | ||||
\(31\) | −1.93668 | − | 1.11814i | −0.347838 | − | 0.200825i | 0.315894 | − | 0.948794i | \(-0.397695\pi\) |
−0.663733 | + | 0.747970i | \(0.731029\pi\) | |||||||
\(32\) | −5.23807 | + | 2.13604i | −0.925968 | + | 0.377602i | ||||
\(33\) | 6.98966 | + | 3.73191i | 1.21674 | + | 0.649642i | ||||
\(34\) | −1.10746 | − | 6.01218i | −0.189928 | − | 1.03108i | ||||
\(35\) | 0.918880 | + | 1.07000i | 0.155319 | + | 0.180863i | ||||
\(36\) | −0.556624 | + | 5.97413i | −0.0927707 | + | 0.995688i | ||||
\(37\) | −7.02261 | + | 4.05451i | −1.15451 | + | 0.666557i | −0.949982 | − | 0.312304i | \(-0.898899\pi\) |
−0.204528 | + | 0.978861i | \(0.565566\pi\) | |||||||
\(38\) | −2.45484 | − | 0.872340i | −0.398227 | − | 0.141512i | ||||
\(39\) | −0.286157 | − | 8.61955i | −0.0458218 | − | 1.38023i | ||||
\(40\) | −1.32269 | − | 0.723817i | −0.209135 | − | 0.114445i | ||||
\(41\) | −2.60914 | −0.407479 | −0.203740 | − | 0.979025i | \(-0.565310\pi\) | ||||
−0.203740 | + | 0.979025i | \(0.565310\pi\) | |||||||
\(42\) | 3.90081 | − | 5.17530i | 0.601908 | − | 0.798566i | ||||
\(43\) | − | 1.87217i | − | 0.285503i | −0.989759 | − | 0.142752i | \(-0.954405\pi\) | ||
0.989759 | − | 0.142752i | \(-0.0455950\pi\) | |||||||
\(44\) | 7.09769 | + | 5.77346i | 1.07002 | + | 0.870383i | ||||
\(45\) | −1.32891 | + | 0.889722i | −0.198102 | + | 0.132632i | ||||
\(46\) | −0.0565317 | + | 0.159085i | −0.00833515 | + | 0.0234558i | ||||
\(47\) | 2.91482 | + | 5.04861i | 0.425170 | + | 0.736415i | 0.996436 | − | 0.0843492i | \(-0.0268811\pi\) |
−0.571267 | + | 0.820764i | \(0.693548\pi\) | |||||||
\(48\) | −1.95036 | + | 6.64801i | −0.281510 | + | 0.959558i | ||||
\(49\) | −6.52141 | + | 2.54387i | −0.931629 | + | 0.363410i | ||||
\(50\) | 1.20816 | + | 6.55884i | 0.170859 | + | 0.927559i | ||||
\(51\) | −6.60480 | − | 3.52642i | −0.924857 | − | 0.493798i | ||||
\(52\) | 1.57946 | − | 9.83243i | 0.219032 | − | 1.36351i | ||||
\(53\) | 2.29287 | − | 3.97137i | 0.314950 | − | 0.545510i | −0.664476 | − | 0.747309i | \(-0.731345\pi\) |
0.979427 | + | 0.201799i | \(0.0646788\pi\) | |||||||
\(54\) | 5.29863 | + | 5.09162i | 0.721052 | + | 0.692881i | ||||
\(55\) | 2.43867i | 0.328830i | ||||||||
\(56\) | 5.56416 | − | 5.00402i | 0.743542 | − | 0.668690i | ||||
\(57\) | −2.70880 | + | 1.68618i | −0.358790 | + | 0.223339i | ||||
\(58\) | 8.33705 | − | 7.10469i | 1.09471 | − | 0.932891i | ||||
\(59\) | −5.71492 | − | 3.29951i | −0.744019 | − | 0.429559i | 0.0795100 | − | 0.996834i | \(-0.474664\pi\) |
−0.823529 | + | 0.567275i | \(0.807998\pi\) | |||||||
\(60\) | −1.70267 | + | 0.714880i | −0.219813 | + | 0.0922906i | ||||
\(61\) | −1.07564 | − | 1.86306i | −0.137722 | − | 0.238541i | 0.788912 | − | 0.614506i | \(-0.210645\pi\) |
−0.926634 | + | 0.375965i | \(0.877311\pi\) | |||||||
\(62\) | −3.11026 | + | 0.572919i | −0.395004 | + | 0.0727608i | ||||
\(63\) | −1.98166 | − | 7.68590i | −0.249666 | − | 0.968332i | ||||
\(64\) | −3.67884 | + | 7.10395i | −0.459855 | + | 0.887994i | ||||
\(65\) | 2.29873 | − | 1.32717i | 0.285123 | − | 0.164616i | ||||
\(66\) | 10.9468 | − | 2.39448i | 1.34745 | − | 0.294741i | ||||
\(67\) | −10.4812 | − | 6.05131i | −1.28048 | − | 0.739285i | −0.303544 | − | 0.952817i | \(-0.598170\pi\) |
−0.976936 | + | 0.213532i | \(0.931503\pi\) | |||||||
\(68\) | −6.70688 | − | 5.45557i | −0.813328 | − | 0.661585i | ||||
\(69\) | 0.109272 | + | 0.175543i | 0.0131548 | + | 0.0211329i | ||||
\(70\) | 1.97055 | + | 0.308865i | 0.235526 | + | 0.0369164i | ||||
\(71\) | 6.20627i | 0.736549i | 0.929717 | + | 0.368275i | \(0.120051\pi\) | ||||
−0.929717 | + | 0.368275i | \(0.879949\pi\) | |||||||
\(72\) | 4.88078 | + | 6.94104i | 0.575205 | + | 0.818009i | ||||
\(73\) | 8.35520 | + | 4.82388i | 0.977902 | + | 0.564592i | 0.901636 | − | 0.432496i | \(-0.142367\pi\) |
0.0762659 | + | 0.997088i | \(0.475700\pi\) | |||||||
\(74\) | −3.83993 | + | 10.8059i | −0.446383 | + | 1.25616i | ||||
\(75\) | 7.20535 | + | 3.84706i | 0.832002 | + | 0.444221i | ||||
\(76\) | −3.44253 | + | 1.31279i | −0.394885 | + | 0.150587i | ||||
\(77\) | −11.4201 | − | 4.00935i | −1.30144 | − | 0.456908i | ||||
\(78\) | −8.21452 | − | 9.01547i | −0.930111 | − | 1.02080i | ||||
\(79\) | −0.0228792 | − | 0.0396280i | −0.00257411 | − | 0.00445849i | 0.864735 | − | 0.502228i | \(-0.167486\pi\) |
−0.867310 | + | 0.497769i | \(0.834153\pi\) | |||||||
\(80\) | −2.08766 | + | 0.434165i | −0.233408 | + | 0.0485412i | ||||
\(81\) | 8.92082 | − | 1.19121i | 0.991202 | − | 0.132356i | ||||
\(82\) | −2.80844 | + | 2.39330i | −0.310140 | + | 0.264296i | ||||
\(83\) | 3.86459i | 0.424194i | 0.977249 | + | 0.212097i | \(0.0680292\pi\) | ||||
−0.977249 | + | 0.212097i | \(0.931971\pi\) | |||||||
\(84\) | −0.548408 | − | 9.14873i | −0.0598362 | − | 0.998208i | ||||
\(85\) | − | 2.30440i | − | 0.249947i | ||||||
\(86\) | −1.71730 | − | 2.01518i | −0.185181 | − | 0.217302i | ||||
\(87\) | −0.445129 | − | 13.4081i | −0.0477229 | − | 1.43750i | ||||
\(88\) | 12.9357 | − | 0.296068i | 1.37895 | − | 0.0315610i | ||||
\(89\) | −8.23362 | − | 14.2610i | −0.872762 | − | 1.51167i | −0.859128 | − | 0.511761i | \(-0.828993\pi\) |
−0.0136336 | − | 0.999907i | \(-0.504340\pi\) | |||||||
\(90\) | −0.614293 | + | 2.17666i | −0.0647522 | + | 0.229440i | ||||
\(91\) | 2.43575 | + | 12.9467i | 0.255335 | + | 1.35718i | ||||
\(92\) | 0.0850749 | + | 0.223092i | 0.00886967 | + | 0.0232589i | ||||
\(93\) | −1.82431 | + | 3.41684i | −0.189173 | + | 0.354310i | ||||
\(94\) | 7.76843 | + | 2.76056i | 0.801253 | + | 0.284730i | ||||
\(95\) | −0.850463 | − | 0.491015i | −0.0872557 | − | 0.0503771i | ||||
\(96\) | 3.99872 | + | 8.94484i | 0.408118 | + | 0.912929i | ||||
\(97\) | − | 7.18828i | − | 0.729859i | −0.931035 | − | 0.364930i | \(-0.881093\pi\) | ||
0.931035 | − | 0.364930i | \(-0.118907\pi\) | |||||||
\(98\) | −4.68611 | + | 8.72011i | −0.473369 | + | 0.880864i | ||||
\(99\) | 6.05860 | − | 12.3143i | 0.608912 | − | 1.23763i | ||||
\(100\) | 7.31670 | + | 5.95162i | 0.731670 | + | 0.595162i | ||||
\(101\) | −3.33419 | − | 1.92499i | −0.331764 | − | 0.191544i | 0.324860 | − | 0.945762i | \(-0.394683\pi\) |
−0.656624 | + | 0.754218i | \(0.728016\pi\) | |||||||
\(102\) | −10.3440 | + | 2.26264i | −1.02421 | + | 0.224035i | ||||
\(103\) | −4.61020 | + | 2.66170i | −0.454256 | + | 0.262265i | −0.709626 | − | 0.704578i | \(-0.751136\pi\) |
0.255370 | + | 0.966843i | \(0.417803\pi\) | |||||||
\(104\) | −7.31894 | − | 12.0323i | −0.717682 | − | 1.17986i | ||||
\(105\) | 1.79947 | − | 1.65216i | 0.175610 | − | 0.161235i | ||||
\(106\) | −1.17483 | − | 6.37793i | −0.114110 | − | 0.619479i | ||||
\(107\) | −4.60634 | − | 7.97842i | −0.445312 | − | 0.771303i | 0.552762 | − | 0.833339i | \(-0.313574\pi\) |
−0.998074 | + | 0.0620363i | \(0.980241\pi\) | |||||||
\(108\) | 10.3738 | + | 0.620237i | 0.998217 | + | 0.0596824i | ||||
\(109\) | −4.24194 | − | 2.44909i | −0.406304 | − | 0.234580i | 0.282896 | − | 0.959151i | \(-0.408705\pi\) |
−0.689201 | + | 0.724571i | \(0.742038\pi\) | |||||||
\(110\) | 2.23694 | + | 2.62495i | 0.213283 | + | 0.250279i | ||||
\(111\) | 7.42233 | + | 11.9238i | 0.704497 | + | 1.13176i | ||||
\(112\) | 1.39911 | − | 10.4901i | 0.132203 | − | 0.991223i | ||||
\(113\) | 3.87615i | 0.364637i | 0.983240 | + | 0.182319i | \(0.0583602\pi\) | ||||
−0.983240 | + | 0.182319i | \(0.941640\pi\) | |||||||
\(114\) | −1.36903 | + | 4.29970i | −0.128221 | + | 0.402703i | ||||
\(115\) | −0.0318201 | + | 0.0551140i | −0.00296724 | + | 0.00513941i | ||||
\(116\) | 2.45692 | − | 15.2948i | 0.228119 | − | 1.42008i | ||||
\(117\) | −14.9048 | + | 0.990731i | −1.37795 | + | 0.0915932i | ||||
\(118\) | −9.17801 | + | 1.69061i | −0.844904 | + | 0.155634i | ||||
\(119\) | 10.7913 | + | 3.78859i | 0.989233 | + | 0.347299i | ||||
\(120\) | −1.17698 | + | 2.33130i | −0.107443 | + | 0.212818i | ||||
\(121\) | −4.96376 | − | 8.59748i | −0.451251 | − | 0.781589i | ||||
\(122\) | −2.86674 | − | 1.01871i | −0.259543 | − | 0.0922300i | ||||
\(123\) | 0.149947 | + | 4.51667i | 0.0135203 | + | 0.407255i | ||||
\(124\) | −2.82231 | + | 3.46965i | −0.253451 | + | 0.311584i | ||||
\(125\) | 5.17934i | 0.463254i | ||||||||
\(126\) | −9.18312 | − | 6.45525i | −0.818098 | − | 0.575079i | ||||
\(127\) | 8.19005 | 0.726750 | 0.363375 | − | 0.931643i | \(-0.381624\pi\) | ||||
0.363375 | + | 0.931643i | \(0.381624\pi\) | |||||||
\(128\) | 2.55644 | + | 11.0211i | 0.225960 | + | 0.974137i | ||||
\(129\) | −3.24091 | + | 0.107594i | −0.285346 | + | 0.00947310i | ||||
\(130\) | 1.25694 | − | 3.53712i | 0.110241 | − | 0.310226i | ||||
\(131\) | 18.5565 | − | 10.7136i | 1.62129 | − | 0.936053i | 0.634715 | − | 0.772746i | \(-0.281117\pi\) |
0.986575 | − | 0.163306i | \(-0.0522159\pi\) | |||||||
\(132\) | 9.58652 | − | 12.6186i | 0.834400 | − | 1.09831i | ||||
\(133\) | 3.69760 | − | 3.17537i | 0.320622 | − | 0.275340i | ||||
\(134\) | −16.8325 | + | 3.10059i | −1.45411 | + | 0.267851i | ||||
\(135\) | 1.61657 | + | 2.24933i | 0.139132 | + | 0.193592i | ||||
\(136\) | −12.2234 | + | 0.279766i | −1.04815 | + | 0.0239898i | ||||
\(137\) | −3.91533 | − | 2.26052i | −0.334509 | − | 0.193129i | 0.323332 | − | 0.946286i | \(-0.395197\pi\) |
−0.657841 | + | 0.753157i | \(0.728530\pi\) | |||||||
\(138\) | 0.278640 | + | 0.0887193i | 0.0237194 | + | 0.00755228i | ||||
\(139\) | 14.8300 | 1.25786 | 0.628931 | − | 0.777461i | \(-0.283493\pi\) | ||||
0.628931 | + | 0.777461i | \(0.283493\pi\) | |||||||
\(140\) | 2.40439 | − | 1.47508i | 0.203208 | − | 0.124667i | ||||
\(141\) | 8.57212 | − | 5.33597i | 0.721903 | − | 0.449370i | ||||
\(142\) | 5.69287 | + | 6.68034i | 0.477735 | + | 0.560602i | ||||
\(143\) | −11.3892 | + | 19.7266i | −0.952410 | + | 1.64962i | ||||
\(144\) | 11.6204 | + | 2.99420i | 0.968370 | + | 0.249517i | ||||
\(145\) | 3.57577 | − | 2.06447i | 0.296952 | − | 0.171445i | ||||
\(146\) | 13.4182 | − | 2.47168i | 1.11050 | − | 0.204557i | ||||
\(147\) | 4.77847 | + | 11.1430i | 0.394121 | + | 0.919058i | ||||
\(148\) | 5.77873 | + | 15.1536i | 0.475009 | + | 1.24562i | ||||
\(149\) | 10.7714 | + | 18.6566i | 0.882425 | + | 1.52841i | 0.848636 | + | 0.528977i | \(0.177424\pi\) |
0.0337890 | + | 0.999429i | \(0.489243\pi\) | |||||||
\(150\) | 11.2845 | − | 2.46837i | 0.921380 | − | 0.201542i | ||||
\(151\) | 1.40767 | − | 2.43816i | 0.114555 | − | 0.198415i | −0.803047 | − | 0.595916i | \(-0.796789\pi\) |
0.917602 | + | 0.397501i | \(0.130122\pi\) | |||||||
\(152\) | −2.50129 | + | 4.57081i | −0.202882 | + | 0.370742i | ||||
\(153\) | −5.72500 | + | 11.6362i | −0.462839 | + | 0.940733i | ||||
\(154\) | −15.9701 | + | 6.15975i | −1.28690 | + | 0.496366i | ||||
\(155\) | −1.19213 | −0.0957539 | ||||||||
\(156\) | −17.1117 | − | 2.16913i | −1.37003 | − | 0.173669i | ||||
\(157\) | −3.54427 | + | 6.13885i | −0.282863 | + | 0.489933i | −0.972089 | − | 0.234613i | \(-0.924618\pi\) |
0.689226 | + | 0.724547i | \(0.257951\pi\) | |||||||
\(158\) | −0.0609766 | − | 0.0216684i | −0.00485104 | − | 0.00172384i | ||||
\(159\) | −7.00661 | − | 3.74095i | −0.555660 | − | 0.296677i | ||||
\(160\) | −1.84888 | + | 2.38229i | −0.146167 | + | 0.188337i | ||||
\(161\) | −0.205779 | − | 0.239622i | −0.0162176 | − | 0.0188848i | ||||
\(162\) | 8.50957 | − | 9.46505i | 0.668575 | − | 0.743645i | ||||
\(163\) | 5.64257 | − | 3.25774i | 0.441960 | − | 0.255166i | −0.262469 | − | 0.964941i | \(-0.584537\pi\) |
0.704429 | + | 0.709775i | \(0.251203\pi\) | |||||||
\(164\) | −0.827643 | + | 5.15223i | −0.0646280 | + | 0.402321i | ||||
\(165\) | 4.22158 | − | 0.140151i | 0.328649 | − | 0.0109107i | ||||
\(166\) | 3.54489 | + | 4.15978i | 0.275137 | + | 0.322862i | ||||
\(167\) | −17.2470 | −1.33462 | −0.667308 | − | 0.744782i | \(-0.732553\pi\) | ||||
−0.667308 | + | 0.744782i | \(0.732553\pi\) | |||||||
\(168\) | −8.98221 | − | 9.34451i | −0.692992 | − | 0.720945i | ||||
\(169\) | 11.7928 | 0.907141 | ||||||||
\(170\) | −2.11377 | − | 2.48042i | −0.162118 | − | 0.190239i | ||||
\(171\) | 3.07461 | + | 4.59230i | 0.235121 | + | 0.351182i | ||||
\(172\) | −3.69695 | − | 0.593869i | −0.281889 | − | 0.0452821i | ||||
\(173\) | −14.5387 | + | 8.39395i | −1.10536 | + | 0.638180i | −0.937624 | − | 0.347652i | \(-0.886979\pi\) |
−0.167737 | + | 0.985832i | \(0.553646\pi\) | |||||||
\(174\) | −12.7780 | − | 14.0239i | −0.968700 | − | 1.06315i | ||||
\(175\) | −11.7725 | − | 4.13307i | −0.889914 | − | 0.312430i | ||||
\(176\) | 13.6522 | − | 12.1843i | 1.02907 | − | 0.918426i | ||||
\(177\) | −5.38333 | + | 10.0827i | −0.404636 | + | 0.757862i | ||||
\(178\) | −21.9439 | − | 7.79787i | −1.64476 | − | 0.584475i | ||||
\(179\) | 2.00982 | − | 3.48110i | 0.150221 | − | 0.260190i | −0.781088 | − | 0.624421i | \(-0.785335\pi\) |
0.931309 | + | 0.364231i | \(0.118668\pi\) | |||||||
\(180\) | 1.33538 | + | 2.90640i | 0.0995332 | + | 0.216630i | ||||
\(181\) | 14.8596 | 1.10451 | 0.552253 | − | 0.833676i | \(-0.313768\pi\) | ||||
0.552253 | + | 0.833676i | \(0.313768\pi\) | |||||||
\(182\) | 14.4975 | + | 11.7014i | 1.07463 | + | 0.867364i | ||||
\(183\) | −3.16332 | + | 1.96911i | −0.233840 | + | 0.145561i | ||||
\(184\) | 0.296210 | + | 0.162095i | 0.0218369 | + | 0.0119498i | ||||
\(185\) | −2.16139 | + | 3.74363i | −0.158908 | + | 0.275237i | ||||
\(186\) | 1.17052 | + | 5.35124i | 0.0858271 | + | 0.392372i | ||||
\(187\) | 9.88761 | + | 17.1258i | 0.723053 | + | 1.25237i | ||||
\(188\) | 10.8940 | − | 4.15438i | 0.794528 | − | 0.302989i | ||||
\(189\) | −13.1911 | + | 3.87216i | −0.959515 | + | 0.281658i | ||||
\(190\) | −1.36582 | + | 0.251588i | −0.0990872 | + | 0.0182521i | ||||
\(191\) | 17.1154 | − | 9.88159i | 1.23843 | − | 0.715006i | 0.269655 | − | 0.962957i | \(-0.413090\pi\) |
0.968773 | + | 0.247951i | \(0.0797570\pi\) | |||||||
\(192\) | 12.5091 | + | 5.96016i | 0.902763 | + | 0.430137i | ||||
\(193\) | −6.29229 | + | 10.8986i | −0.452929 | + | 0.784496i | −0.998566 | − | 0.0535255i | \(-0.982954\pi\) |
0.545638 | + | 0.838021i | \(0.316287\pi\) | |||||||
\(194\) | −6.59364 | − | 7.73736i | −0.473396 | − | 0.555510i | ||||
\(195\) | −2.42957 | − | 3.90305i | −0.173985 | − | 0.279504i | ||||
\(196\) | 2.95469 | + | 13.6847i | 0.211049 | + | 0.977475i | ||||
\(197\) | −8.41804 | −0.599761 | −0.299880 | − | 0.953977i | \(-0.596947\pi\) | ||||
−0.299880 | + | 0.953977i | \(0.596947\pi\) | |||||||
\(198\) | −4.77419 | − | 18.8123i | −0.339287 | − | 1.33693i | ||||
\(199\) | 12.3980 | + | 7.15800i | 0.878873 | + | 0.507417i | 0.870287 | − | 0.492546i | \(-0.163934\pi\) |
0.00858618 | + | 0.999963i | \(0.497267\pi\) | |||||||
\(200\) | 13.3349 | − | 0.305204i | 0.942918 | − | 0.0215812i | ||||
\(201\) | −9.87305 | + | 18.4917i | −0.696392 | + | 1.30430i | ||||
\(202\) | −5.35462 | + | 0.986336i | −0.376750 | + | 0.0693983i | ||||
\(203\) | 3.78890 | + | 20.1391i | 0.265929 | + | 1.41349i | ||||
\(204\) | −9.05868 | + | 11.9238i | −0.634234 | + | 0.834832i | ||||
\(205\) | −1.20454 | + | 0.695443i | −0.0841290 | + | 0.0485719i | ||||
\(206\) | −2.52084 | + | 7.09384i | −0.175635 | + | 0.494251i | ||||
\(207\) | 0.297602 | − | 0.199249i | 0.0206848 | − | 0.0138488i | ||||
\(208\) | −18.9149 | − | 6.23787i | −1.31151 | − | 0.432518i | ||||
\(209\) | 8.42732 | 0.582930 | ||||||||
\(210\) | 0.421428 | − | 3.42897i | 0.0290813 | − | 0.236621i | ||||
\(211\) | − | 9.62315i | − | 0.662485i | −0.943546 | − | 0.331243i | \(-0.892532\pi\) | ||
0.943546 | − | 0.331243i | \(-0.107468\pi\) | |||||||
\(212\) | −7.11489 | − | 5.78746i | −0.488653 | − | 0.397484i | ||||
\(213\) | 10.7437 | − | 0.356675i | 0.736144 | − | 0.0244390i | ||||
\(214\) | −12.2766 | − | 4.36256i | −0.839212 | − | 0.298219i | ||||
\(215\) | −0.499011 | − | 0.864312i | −0.0340323 | − | 0.0589456i | ||||
\(216\) | 11.7351 | − | 8.84801i | 0.798473 | − | 0.602031i | ||||
\(217\) | 1.95994 | − | 5.58261i | 0.133049 | − | 0.378972i | ||||
\(218\) | −6.81245 | + | 1.25487i | −0.461397 | + | 0.0849907i | ||||
\(219\) | 7.87042 | − | 14.7409i | 0.531834 | − | 0.996097i | ||||
\(220\) | 4.81561 | + | 0.773569i | 0.324668 | + | 0.0521540i | ||||
\(221\) | 10.7621 | − | 18.6404i | 0.723935 | − | 1.25389i | ||||
\(222\) | 18.9267 | + | 6.02628i | 1.27028 | + | 0.404457i | ||||
\(223\) | − | 20.1840i | − | 1.35162i | −0.737076 | − | 0.675810i | \(-0.763794\pi\) | ||
0.737076 | − | 0.675810i | \(-0.236206\pi\) | |||||||
\(224\) | −8.11635 | − | 12.5748i | −0.542296 | − | 0.840187i | ||||
\(225\) | 6.24555 | − | 12.6942i | 0.416370 | − | 0.846283i | ||||
\(226\) | 3.55550 | + | 4.17223i | 0.236508 | + | 0.277532i | ||||
\(227\) | −1.03403 | − | 0.597000i | −0.0686313 | − | 0.0396243i | 0.465292 | − | 0.885157i | \(-0.345949\pi\) |
−0.533923 | + | 0.845533i | \(0.679283\pi\) | |||||||
\(228\) | 2.47041 | + | 5.88390i | 0.163607 | + | 0.389671i | ||||
\(229\) | −11.4021 | − | 19.7490i | −0.753472 | − | 1.30505i | −0.946130 | − | 0.323786i | \(-0.895044\pi\) |
0.192658 | − | 0.981266i | \(-0.438289\pi\) | |||||||
\(230\) | 0.0163041 | + | 0.0885117i | 0.00107506 | + | 0.00583629i | ||||
\(231\) | −6.28426 | + | 19.9996i | −0.413474 | + | 1.31588i | ||||
\(232\) | −11.3849 | − | 18.7167i | −0.747457 | − | 1.22881i | ||||
\(233\) | 14.1080 | − | 8.14528i | 0.924249 | − | 0.533615i | 0.0392607 | − | 0.999229i | \(-0.487500\pi\) |
0.884988 | + | 0.465614i | \(0.154166\pi\) | |||||||
\(234\) | −15.1346 | + | 14.7383i | −0.989377 | + | 0.963470i | ||||
\(235\) | 2.69133 | + | 1.55384i | 0.175563 | + | 0.101361i | ||||
\(236\) | −8.32831 | + | 10.2385i | −0.542127 | + | 0.666471i | ||||
\(237\) | −0.0672850 | + | 0.0418836i | −0.00437063 | + | 0.00272063i | ||||
\(238\) | 15.0907 | − | 5.82058i | 0.978186 | − | 0.377292i | ||||
\(239\) | − | 20.2417i | − | 1.30933i | −0.755920 | − | 0.654664i | \(-0.772810\pi\) | ||
0.755920 | − | 0.654664i | \(-0.227190\pi\) | |||||||
\(240\) | 0.871561 | + | 3.58899i | 0.0562590 | + | 0.231669i | ||||
\(241\) | −7.99312 | − | 4.61483i | −0.514882 | − | 0.297267i | 0.219956 | − | 0.975510i | \(-0.429409\pi\) |
−0.734838 | + | 0.678242i | \(0.762742\pi\) | |||||||
\(242\) | −13.2292 | − | 4.70106i | −0.850404 | − | 0.302196i | ||||
\(243\) | −2.57477 | − | 15.3743i | −0.165172 | − | 0.986265i | ||||
\(244\) | −4.02016 | + | 1.53307i | −0.257365 | + | 0.0981446i | ||||
\(245\) | −2.33265 | + | 2.91263i | −0.149027 | + | 0.186081i | ||||
\(246\) | 4.30444 | + | 4.72414i | 0.274441 | + | 0.301200i | ||||
\(247\) | −4.58631 | − | 7.94372i | −0.291820 | − | 0.505447i | ||||
\(248\) | 0.144731 | + | 6.32352i | 0.00919041 | + | 0.401544i | ||||
\(249\) | 6.68998 | − | 0.222098i | 0.423960 | − | 0.0140749i | ||||
\(250\) | 4.75088 | + | 5.57496i | 0.300472 | + | 0.352591i | ||||
\(251\) | 8.22152i | 0.518938i | 0.965751 | + | 0.259469i | \(0.0835475\pi\) | ||||
−0.965751 | + | 0.259469i | \(0.916452\pi\) | |||||||
\(252\) | −15.8058 | + | 1.47513i | −0.995673 | + | 0.0929241i | ||||
\(253\) | − | 0.546129i | − | 0.0343349i | ||||||
\(254\) | 8.81565 | − | 7.51254i | 0.553143 | − | 0.471379i | ||||
\(255\) | −3.98913 | + | 0.132434i | −0.249809 | + | 0.00829332i | ||||
\(256\) | 12.8611 | + | 9.51798i | 0.803819 | + | 0.594874i | ||||
\(257\) | −6.71468 | − | 11.6302i | −0.418850 | − | 0.725470i | 0.576974 | − | 0.816763i | \(-0.304233\pi\) |
−0.995824 | + | 0.0912928i | \(0.970900\pi\) | |||||||
\(258\) | −3.38977 | + | 3.08862i | −0.211038 | + | 0.192289i | ||||
\(259\) | −13.9776 | − | 16.2763i | −0.868525 | − | 1.01136i | ||||
\(260\) | −1.89157 | − | 4.96026i | −0.117310 | − | 0.307622i | ||||
\(261\) | −23.1851 | + | 1.54112i | −1.43512 | + | 0.0953932i | ||||
\(262\) | 10.1466 | − | 28.5534i | 0.626860 | − | 1.76404i | ||||
\(263\) | 13.0415 | + | 7.52949i | 0.804170 | + | 0.464288i | 0.844927 | − | 0.534881i | \(-0.179644\pi\) |
−0.0407569 | + | 0.999169i | \(0.512977\pi\) | |||||||
\(264\) | −1.25594 | − | 22.3759i | −0.0772977 | − | 1.37714i | ||||
\(265\) | − | 2.44458i | − | 0.150170i | ||||||
\(266\) | 1.06734 | − | 6.80964i | 0.0654431 | − | 0.417526i | ||||
\(267\) | −24.2141 | + | 15.0728i | −1.48188 | + | 0.922439i | ||||
\(268\) | −15.2742 | + | 18.7775i | −0.933018 | + | 1.14702i | ||||
\(269\) | 11.5014 | + | 6.64035i | 0.701254 | + | 0.404869i | 0.807814 | − | 0.589437i | \(-0.200650\pi\) |
−0.106560 | + | 0.994306i | \(0.533984\pi\) | |||||||
\(270\) | 3.80331 | + | 0.938309i | 0.231462 | + | 0.0571037i | ||||
\(271\) | 16.2954 | − | 9.40818i | 0.989878 | − | 0.571506i | 0.0846401 | − | 0.996412i | \(-0.473026\pi\) |
0.905238 | + | 0.424905i | \(0.139693\pi\) | |||||||
\(272\) | −12.9005 | + | 11.5134i | −0.782208 | + | 0.698103i | ||||
\(273\) | 22.2720 | − | 4.96056i | 1.34796 | − | 0.300227i | ||||
\(274\) | −6.28792 | + | 1.15825i | −0.379867 | + | 0.0699726i | ||||
\(275\) | −10.7866 | − | 18.6830i | −0.650459 | − | 1.12663i | ||||
\(276\) | 0.381304 | − | 0.160094i | 0.0229518 | − | 0.00963653i | ||||
\(277\) | 20.1344 | + | 11.6246i | 1.20976 | + | 0.698454i | 0.962706 | − | 0.270548i | \(-0.0872049\pi\) |
0.247052 | + | 0.969002i | \(0.420538\pi\) | |||||||
\(278\) | 15.9628 | − | 13.6032i | 0.957383 | − | 0.815864i | ||||
\(279\) | 6.01973 | + | 2.96170i | 0.360392 | + | 0.177312i | ||||
\(280\) | 1.23499 | − | 3.79325i | 0.0738047 | − | 0.226690i | ||||
\(281\) | 21.2736i | 1.26908i | 0.772892 | + | 0.634538i | \(0.218810\pi\) | ||||
−0.772892 | + | 0.634538i | \(0.781190\pi\) | |||||||
\(282\) | 4.33234 | − | 13.6066i | 0.257987 | − | 0.810259i | ||||
\(283\) | −4.31186 | + | 7.46836i | −0.256314 | + | 0.443948i | −0.965251 | − | 0.261323i | \(-0.915841\pi\) |
0.708938 | + | 0.705271i | \(0.249175\pi\) | |||||||
\(284\) | 12.2554 | + | 1.96869i | 0.727226 | + | 0.116820i | ||||
\(285\) | −0.801119 | + | 1.50045i | −0.0474542 | + | 0.0888792i | ||||
\(286\) | 5.83563 | + | 31.6804i | 0.345068 | + | 1.87330i | ||||
\(287\) | −1.27634 | − | 6.78411i | −0.0753399 | − | 0.400454i | ||||
\(288\) | 15.2546 | − | 7.43624i | 0.898885 | − | 0.438185i | ||||
\(289\) | −0.843181 | − | 1.46043i | −0.0495989 | − | 0.0859078i | ||||
\(290\) | 1.95522 | − | 5.50214i | 0.114814 | − | 0.323097i | ||||
\(291\) | −12.4436 | + | 0.413111i | −0.729457 | + | 0.0242170i | ||||
\(292\) | 12.1760 | − | 14.9687i | 0.712545 | − | 0.875977i | ||||
\(293\) | − | 22.7441i | − | 1.32872i | −0.747411 | − | 0.664362i | \(-0.768703\pi\) | ||
0.747411 | − | 0.664362i | \(-0.231297\pi\) | |||||||
\(294\) | 15.3647 | + | 7.61097i | 0.896086 | + | 0.443881i | ||||
\(295\) | −3.51782 | −0.204815 | ||||||||
\(296\) | 20.1201 | + | 11.0104i | 1.16946 | + | 0.639965i | ||||
\(297\) | −21.6654 | − | 9.78032i | −1.25715 | − | 0.567512i | ||||
\(298\) | 28.7074 | + | 10.2013i | 1.66297 | + | 0.590947i | ||||
\(299\) | −0.514790 | + | 0.297214i | −0.0297711 | + | 0.0171883i | ||||
\(300\) | 9.88234 | − | 13.0080i | 0.570557 | − | 0.751015i | ||||
\(301\) | 4.86790 | − | 0.915828i | 0.280581 | − | 0.0527875i | ||||
\(302\) | −0.721270 | − | 3.91563i | −0.0415044 | − | 0.225319i | ||||
\(303\) | −3.14074 | + | 5.88243i | −0.180431 | + | 0.337937i | ||||
\(304\) | 1.50034 | + | 7.21433i | 0.0860507 | + | 0.413770i | ||||
\(305\) | −0.993166 | − | 0.573405i | −0.0568685 | − | 0.0328331i | ||||
\(306\) | 4.51132 | + | 17.7765i | 0.257895 | + | 1.01621i | ||||
\(307\) | −22.8169 | −1.30223 | −0.651114 | − | 0.758980i | \(-0.725698\pi\) | ||||
−0.651114 | + | 0.758980i | \(0.725698\pi\) | |||||||
\(308\) | −11.5397 | + | 21.2792i | −0.657538 | + | 1.21250i | ||||
\(309\) | 4.87261 | + | 7.82773i | 0.277193 | + | 0.445304i | ||||
\(310\) | −1.28319 | + | 1.09351i | −0.0728801 | + | 0.0621071i | ||||
\(311\) | 11.9871 | − | 20.7622i | 0.679725 | − | 1.17732i | −0.295339 | − | 0.955393i | \(-0.595433\pi\) |
0.975064 | − | 0.221925i | \(-0.0712341\pi\) | |||||||
\(312\) | −20.4084 | + | 13.3613i | −1.15540 | + | 0.756435i | ||||
\(313\) | 19.4419 | − | 11.2248i | 1.09892 | − | 0.634463i | 0.162984 | − | 0.986629i | \(-0.447888\pi\) |
0.935938 | + | 0.352166i | \(0.114555\pi\) | |||||||
\(314\) | 1.81602 | + | 9.85883i | 0.102484 | + | 0.556366i | ||||
\(315\) | −2.96347 | − | 3.02010i | −0.166973 | − | 0.170163i | ||||
\(316\) | −0.0855102 | + | 0.0326089i | −0.00481032 | + | 0.00183439i | ||||
\(317\) | 1.06072 | + | 1.83723i | 0.0595762 | + | 0.103189i | 0.894275 | − | 0.447517i | \(-0.147692\pi\) |
−0.834699 | + | 0.550706i | \(0.814358\pi\) | |||||||
\(318\) | −10.9733 | + | 2.40029i | −0.615352 | + | 0.134601i | ||||
\(319\) | −17.7163 | + | 30.6856i | −0.991924 | + | 1.71806i | ||||
\(320\) | 0.195114 | + | 4.26020i | 0.0109072 | + | 0.238152i | ||||
\(321\) | −13.5467 | + | 8.43255i | −0.756103 | + | 0.470659i | ||||
\(322\) | −0.441296 | − | 0.0691689i | −0.0245925 | − | 0.00385463i | ||||
\(323\) | −7.96330 | −0.443090 | ||||||||
\(324\) | 0.477509 | − | 17.9937i | 0.0265283 | − | 0.999648i | ||||
\(325\) | −11.7406 | + | 20.3353i | −0.651252 | + | 1.12800i | ||||
\(326\) | 3.08533 | − | 8.68238i | 0.170881 | − | 0.480872i | ||||
\(327\) | −3.99582 | + | 7.48396i | −0.220969 | + | 0.413864i | ||||
\(328\) | 3.83515 | + | 6.30496i | 0.211761 | + | 0.348133i | ||||
\(329\) | −11.7012 | + | 10.0486i | −0.645108 | + | 0.553997i | ||||
\(330\) | 4.41549 | − | 4.02321i | 0.243065 | − | 0.221470i | ||||
\(331\) | 1.25478 | − | 0.724448i | 0.0689689 | − | 0.0398192i | −0.465119 | − | 0.885248i | \(-0.653988\pi\) |
0.534088 | + | 0.845429i | \(0.320655\pi\) | |||||||
\(332\) | 7.63134 | + | 1.22588i | 0.418824 | + | 0.0672790i | ||||
\(333\) | 20.2147 | − | 13.5340i | 1.10776 | − | 0.741661i | ||||
\(334\) | −18.5644 | + | 15.8203i | −1.01580 | + | 0.865648i | ||||
\(335\) | −6.45170 | −0.352494 | ||||||||
\(336\) | −18.2398 | − | 1.81913i | −0.995063 | − | 0.0992415i | ||||
\(337\) | −21.6680 | −1.18033 | −0.590165 | − | 0.807282i | \(-0.700937\pi\) | ||||
−0.590165 | + | 0.807282i | \(0.700937\pi\) | |||||||
\(338\) | 12.6936 | − | 10.8173i | 0.690442 | − | 0.588383i | ||||
\(339\) | 6.70999 | − | 0.222762i | 0.364436 | − | 0.0120988i | ||||
\(340\) | −4.55045 | − | 0.730975i | −0.246783 | − | 0.0396427i | ||||
\(341\) | 8.85966 | − | 5.11513i | 0.479778 | − | 0.277000i | ||||
\(342\) | 7.52187 | + | 2.12281i | 0.406736 | + | 0.114789i | ||||
\(343\) | −9.80454 | − | 15.7121i | −0.529396 | − | 0.848375i | ||||
\(344\) | −4.52408 | + | 2.75189i | −0.243922 | + | 0.148372i | ||||
\(345\) | 0.0972364 | + | 0.0519162i | 0.00523503 | + | 0.00279508i | ||||
\(346\) | −7.94972 | + | 22.3712i | −0.427380 | + | 1.20268i | ||||
\(347\) | −13.7374 | + | 23.7939i | −0.737463 | + | 1.27732i | 0.216171 | + | 0.976356i | \(0.430643\pi\) |
−0.953634 | + | 0.300969i | \(0.902690\pi\) | |||||||
\(348\) | −26.6179 | − | 3.37417i | −1.42687 | − | 0.180875i | ||||
\(349\) | −15.6203 | −0.836134 | −0.418067 | − | 0.908416i | \(-0.637292\pi\) | ||||
−0.418067 | + | 0.908416i | \(0.637292\pi\) | |||||||
\(350\) | −16.4629 | + | 6.34982i | −0.879977 | + | 0.339412i | ||||
\(351\) | 2.57163 | + | 25.7448i | 0.137264 | + | 1.37415i | ||||
\(352\) | 3.51868 | − | 25.6379i | 0.187546 | − | 1.36650i | ||||
\(353\) | −6.72613 | + | 11.6500i | −0.357996 | + | 0.620067i | −0.987626 | − | 0.156828i | \(-0.949873\pi\) |
0.629630 | + | 0.776895i | \(0.283207\pi\) | |||||||
\(354\) | 3.45408 | + | 15.7909i | 0.183582 | + | 0.839275i | ||||
\(355\) | 1.65423 | + | 2.86521i | 0.0877973 | + | 0.152069i | ||||
\(356\) | −30.7728 | + | 11.7351i | −1.63096 | + | 0.621957i | ||||
\(357\) | 5.93824 | − | 18.8984i | 0.314285 | − | 1.00021i | ||||
\(358\) | −1.02980 | − | 5.59056i | −0.0544265 | − | 0.295470i | ||||
\(359\) | −19.9816 | + | 11.5364i | −1.05459 | + | 0.608867i | −0.923930 | − | 0.382561i | \(-0.875042\pi\) |
−0.130658 | + | 0.991428i | \(0.541709\pi\) | |||||||
\(360\) | 4.10335 | + | 1.90349i | 0.216265 | + | 0.100323i | ||||
\(361\) | 7.80320 | − | 13.5155i | 0.410695 | − | 0.711344i | ||||
\(362\) | 15.9947 | − | 13.6304i | 0.840661 | − | 0.716396i | ||||
\(363\) | −14.5978 | + | 9.08684i | −0.766186 | + | 0.476936i | ||||
\(364\) | 26.3383 | − | 0.703018i | 1.38050 | − | 0.0368482i | ||||
\(365\) | 5.14305 | 0.269200 | ||||||||
\(366\) | −1.59874 | + | 5.02116i | −0.0835675 | + | 0.262460i | ||||
\(367\) | 18.6893 | + | 10.7903i | 0.975574 | + | 0.563248i | 0.900931 | − | 0.433963i | \(-0.142885\pi\) |
0.0746427 | + | 0.997210i | \(0.476218\pi\) | |||||||
\(368\) | 0.467522 | − | 0.0972293i | 0.0243713 | − | 0.00506843i | ||||
\(369\) | 7.81018 | − | 0.519147i | 0.406582 | − | 0.0270257i | ||||
\(370\) | 1.10746 | + | 6.01218i | 0.0575741 | + | 0.312558i | ||||
\(371\) | 11.4477 | + | 4.01907i | 0.594337 | + | 0.208659i | ||||
\(372\) | 6.16850 | + | 4.68630i | 0.319822 | + | 0.242973i | ||||
\(373\) | −0.158888 | + | 0.0917338i | −0.00822689 | + | 0.00474980i | −0.504108 | − | 0.863641i | \(-0.668179\pi\) |
0.495881 | + | 0.868391i | \(0.334845\pi\) | |||||||
\(374\) | 26.3520 | + | 9.36433i | 1.36263 | + | 0.484218i | ||||
\(375\) | 8.96593 | − | 0.297657i | 0.462999 | − | 0.0153709i | ||||
\(376\) | 7.91544 | − | 14.4645i | 0.408208 | − | 0.745951i | ||||
\(377\) | 38.5663 | 1.98627 | ||||||||
\(378\) | −10.6469 | + | 16.2679i | −0.547618 | + | 0.836728i | ||||
\(379\) | − | 2.93359i | − | 0.150688i | −0.997158 | − | 0.0753441i | \(-0.975994\pi\) | ||
0.997158 | − | 0.0753441i | \(-0.0240055\pi\) | |||||||
\(380\) | −1.23937 | + | 1.52364i | −0.0635786 | + | 0.0781612i | ||||
\(381\) | −0.470683 | − | 14.1778i | −0.0241138 | − | 0.726349i | ||||
\(382\) | 9.35863 | − | 26.3359i | 0.478829 | − | 1.34746i | ||||
\(383\) | 7.67488 | + | 13.2933i | 0.392168 | + | 0.679255i | 0.992735 | − | 0.120319i | \(-0.0383918\pi\) |
−0.600567 | + | 0.799574i | \(0.705058\pi\) | |||||||
\(384\) | 18.9317 | − | 5.05883i | 0.966103 | − | 0.258158i | ||||
\(385\) | −6.34088 | + | 1.19295i | −0.323161 | + | 0.0607983i | ||||
\(386\) | 3.22407 | + | 17.5028i | 0.164101 | + | 0.890870i | ||||
\(387\) | 0.372510 | + | 5.60414i | 0.0189358 | + | 0.284875i | ||||
\(388\) | −14.1946 | − | 2.28019i | −0.720621 | − | 0.115759i | ||||
\(389\) | −2.00060 | + | 3.46513i | −0.101434 | + | 0.175689i | −0.912276 | − | 0.409577i | \(-0.865676\pi\) |
0.810842 | + | 0.585266i | \(0.199010\pi\) | |||||||
\(390\) | −6.19534 | − | 1.97260i | −0.313713 | − | 0.0998864i | ||||
\(391\) | 0.516059i | 0.0260982i | ||||||||
\(392\) | 15.7330 | + | 12.0197i | 0.794636 | + | 0.607086i | ||||
\(393\) | −19.6127 | − | 31.5074i | −0.989332 | − | 1.58934i | ||||
\(394\) | −9.06105 | + | 7.72167i | −0.456489 | + | 0.389012i | ||||
\(395\) | −0.0211250 | − | 0.0121965i | −0.00106291 | − | 0.000613673i | ||||
\(396\) | −22.3949 | − | 15.8700i | −1.12539 | − | 0.797498i | ||||
\(397\) | 11.7195 | + | 20.2987i | 0.588183 | + | 1.01876i | 0.994470 | + | 0.105017i | \(0.0334897\pi\) |
−0.406288 | + | 0.913745i | \(0.633177\pi\) | |||||||
\(398\) | 19.9109 | − | 3.66765i | 0.998044 | − | 0.183842i | ||||
\(399\) | −5.70938 | − | 6.21841i | −0.285826 | − | 0.311310i | ||||
\(400\) | 14.0735 | − | 12.5603i | 0.703675 | − | 0.628014i | ||||
\(401\) | −14.5441 | + | 8.39703i | −0.726297 | + | 0.419328i | −0.817066 | − | 0.576544i | \(-0.804401\pi\) |
0.0907689 | + | 0.995872i | \(0.471068\pi\) | |||||||
\(402\) | 6.33480 | + | 28.9605i | 0.315951 | + | 1.44442i | ||||
\(403\) | −9.64320 | − | 5.56751i | −0.480362 | − | 0.277337i | ||||
\(404\) | −4.85889 | + | 5.97334i | −0.241739 | + | 0.297185i | ||||
\(405\) | 3.80091 | − | 2.92770i | 0.188869 | − | 0.145479i | ||||
\(406\) | 22.5515 | + | 18.2020i | 1.11921 | + | 0.903350i | ||||
\(407\) | − | 37.0960i | − | 1.83878i | ||||||
\(408\) | 1.18678 | + | 21.1439i | 0.0587546 | + | 1.04678i | ||||
\(409\) | 11.9749 | + | 6.91372i | 0.592121 | + | 0.341861i | 0.765936 | − | 0.642917i | \(-0.222276\pi\) |
−0.173815 | + | 0.984778i | \(0.555609\pi\) | |||||||
\(410\) | −0.658639 | + | 1.85346i | −0.0325278 | + | 0.0915360i | ||||
\(411\) | −3.68816 | + | 6.90773i | −0.181924 | + | 0.340733i | ||||
\(412\) | 3.79362 | + | 9.94800i | 0.186898 | + | 0.490103i | ||||
\(413\) | 5.78354 | − | 16.4736i | 0.284590 | − | 0.810613i | ||||
\(414\) | 0.137568 | − | 0.487452i | 0.00676111 | − | 0.0239570i | ||||
\(415\) | 1.03007 | + | 1.78414i | 0.0505643 | + | 0.0875799i | ||||
\(416\) | −26.0816 | + | 10.6359i | −1.27876 | + | 0.521466i | ||||
\(417\) | −0.852279 | − | 25.6721i | −0.0417363 | − | 1.25717i | ||||
\(418\) | 9.07104 | − | 7.73018i | 0.443679 | − | 0.378095i | ||||
\(419\) | − | 17.5573i | − | 0.857728i | −0.903369 | − | 0.428864i | \(-0.858914\pi\) | ||
0.903369 | − | 0.428864i | \(-0.141086\pi\) | |||||||
\(420\) | −2.69169 | − | 4.07746i | −0.131341 | − | 0.198960i | ||||
\(421\) | 19.8896i | 0.969362i | 0.874691 | + | 0.484681i | \(0.161064\pi\) | ||||
−0.874691 | + | 0.484681i | \(0.838936\pi\) | |||||||
\(422\) | −8.82709 | − | 10.3582i | −0.429696 | − | 0.504230i | ||||
\(423\) | −9.72973 | − | 14.5325i | −0.473075 | − | 0.706595i | ||||
\(424\) | −12.9671 | + | 0.296786i | −0.629736 | + | 0.0144132i | ||||
\(425\) | 10.1927 | + | 17.6543i | 0.494419 | + | 0.856359i | ||||
\(426\) | 11.2371 | − | 10.2388i | 0.544442 | − | 0.496073i | ||||
\(427\) | 4.31803 | − | 3.70818i | 0.208964 | − | 0.179451i | ||||
\(428\) | −17.2160 | + | 6.56525i | −0.832168 | + | 0.317343i | ||||
\(429\) | 34.8032 | + | 18.5821i | 1.68032 | + | 0.897150i | ||||
\(430\) | −1.32994 | − | 0.472602i | −0.0641354 | − | 0.0227909i | ||||
\(431\) | −25.3821 | − | 14.6544i | −1.22261 | − | 0.705876i | −0.257139 | − | 0.966374i | \(-0.582780\pi\) |
−0.965474 | + | 0.260498i | \(0.916113\pi\) | |||||||
\(432\) | 4.51543 | − | 20.2882i | 0.217249 | − | 0.976116i | ||||
\(433\) | 12.5427i | 0.602763i | 0.953504 | + | 0.301381i | \(0.0974477\pi\) | ||||
−0.953504 | + | 0.301381i | \(0.902552\pi\) | |||||||
\(434\) | −3.01114 | − | 7.80684i | −0.144540 | − | 0.374740i | ||||
\(435\) | −3.77930 | − | 6.07137i | −0.181204 | − | 0.291100i | ||||
\(436\) | −6.18175 | + | 7.59962i | −0.296052 | + | 0.363956i | ||||
\(437\) | 0.190457 | + | 0.109961i | 0.00911081 | + | 0.00526013i | ||||
\(438\) | −5.04986 | − | 23.0862i | −0.241292 | − | 1.10310i | ||||
\(439\) | 11.7921 | − | 6.80818i | 0.562807 | − | 0.324937i | −0.191464 | − | 0.981500i | \(-0.561324\pi\) |
0.754271 | + | 0.656563i | \(0.227990\pi\) | |||||||
\(440\) | 5.89302 | − | 3.58458i | 0.280939 | − | 0.170888i | ||||
\(441\) | 19.0150 | − | 8.91238i | 0.905475 | − | 0.424399i | ||||
\(442\) | −5.51431 | − | 29.9361i | −0.262289 | − | 1.42391i | ||||
\(443\) | 6.72205 | + | 11.6429i | 0.319374 | + | 0.553172i | 0.980358 | − | 0.197228i | \(-0.0631940\pi\) |
−0.660984 | + | 0.750400i | \(0.729861\pi\) | |||||||
\(444\) | 25.9002 | − | 10.8744i | 1.22917 | − | 0.516077i | ||||
\(445\) | −7.60232 | − | 4.38920i | −0.360384 | − | 0.208068i | ||||
\(446\) | −18.5143 | − | 21.7257i | −0.876677 | − | 1.02874i | ||||
\(447\) | 31.6773 | − | 19.7185i | 1.49828 | − | 0.932653i | ||||
\(448\) | −20.2709 | − | 6.09036i | −0.957708 | − | 0.287742i | ||||
\(449\) | 16.3428i | 0.771266i | 0.922652 | + | 0.385633i | \(0.126017\pi\) | ||||
−0.922652 | + | 0.385633i | \(0.873983\pi\) | |||||||
\(450\) | −4.92151 | − | 19.3928i | −0.232002 | − | 0.914185i | ||||
\(451\) | 5.96796 | − | 10.3368i | 0.281020 | − | 0.486742i | ||||
\(452\) | 7.65417 | + | 1.22955i | 0.360022 | + | 0.0578331i | ||||
\(453\) | −4.30160 | − | 2.29670i | −0.202107 | − | 0.107908i | ||||
\(454\) | −1.66063 | + | 0.305893i | −0.0779374 | + | 0.0143563i | ||||
\(455\) | 4.57532 | + | 5.32779i | 0.214494 | + | 0.249770i | ||||
\(456\) | 8.05627 | + | 4.06730i | 0.377270 | + | 0.190469i | ||||
\(457\) | 14.6395 | + | 25.3564i | 0.684808 | + | 1.18612i | 0.973497 | + | 0.228699i | \(0.0734472\pi\) |
−0.288689 | + | 0.957423i | \(0.593219\pi\) | |||||||
\(458\) | −30.3884 | − | 10.7987i | −1.41996 | − | 0.504589i | ||||
\(459\) | 20.4724 | + | 9.24180i | 0.955572 | + | 0.431370i | ||||
\(460\) | 0.0987391 | + | 0.0803173i | 0.00460374 | + | 0.00374481i | ||||
\(461\) | 6.06975i | 0.282696i | 0.989960 | + | 0.141348i | \(0.0451437\pi\) | ||||
−0.989960 | + | 0.141348i | \(0.954856\pi\) | |||||||
\(462\) | 11.5809 | + | 27.2917i | 0.538793 | + | 1.26973i | ||||
\(463\) | −3.30400 | −0.153550 | −0.0767750 | − | 0.997048i | \(-0.524462\pi\) | ||||
−0.0767750 | + | 0.997048i | \(0.524462\pi\) | |||||||
\(464\) | −29.4230 | − | 9.70327i | −1.36593 | − | 0.450463i | ||||
\(465\) | 0.0685115 | + | 2.06369i | 0.00317715 | + | 0.0957011i | ||||
\(466\) | 7.71421 | − | 21.7084i | 0.357354 | − | 1.00562i | ||||
\(467\) | −7.03895 | + | 4.06394i | −0.325724 | + | 0.188057i | −0.653941 | − | 0.756546i | \(-0.726886\pi\) |
0.328217 | + | 0.944602i | \(0.393552\pi\) | |||||||
\(468\) | −2.77156 | + | 29.7466i | −0.128116 | + | 1.37504i | ||||
\(469\) | 10.6070 | − | 30.2127i | 0.489788 | − | 1.39509i | ||||
\(470\) | 4.32220 | − | 0.796161i | 0.199368 | − | 0.0367242i | ||||
\(471\) | 10.8306 | + | 5.78267i | 0.499049 | + | 0.266451i | ||||
\(472\) | 0.427083 | + | 18.6599i | 0.0196581 | + | 0.858894i | ||||
\(473\) | 7.41711 | + | 4.28227i | 0.341039 | + | 0.196899i | ||||
\(474\) | −0.0340057 | + | 0.106802i | −0.00156194 | + | 0.00490557i | ||||
\(475\) | 8.68736 | 0.398604 | ||||||||
\(476\) | 10.9043 | − | 20.1075i | 0.499800 | − | 0.921628i | ||||
\(477\) | −6.07328 | + | 12.3441i | −0.278076 | + | 0.565198i | ||||
\(478\) | −18.5672 | − | 21.7879i | −0.849245 | − | 0.996554i | ||||
\(479\) | 0.425876 | − | 0.737638i | 0.0194588 | − | 0.0337035i | −0.856132 | − | 0.516757i | \(-0.827139\pi\) |
0.875591 | + | 0.483054i | \(0.160472\pi\) | |||||||
\(480\) | 4.23023 | + | 3.06368i | 0.193083 | + | 0.139837i | ||||
\(481\) | −34.9673 | + | 20.1884i | −1.59437 | + | 0.920510i | ||||
\(482\) | −12.8368 | + | 2.36457i | −0.584698 | + | 0.107703i | ||||
\(483\) | −0.402982 | + | 0.369994i | −0.0183363 | + | 0.0168353i | ||||
\(484\) | −18.5519 | + | 7.07466i | −0.843266 | + | 0.321575i | ||||
\(485\) | −1.91597 | − | 3.31856i | −0.0869999 | − | 0.150688i | ||||
\(486\) | −16.8740 | − | 14.1869i | −0.765419 | − | 0.643533i | ||||
\(487\) | −2.45804 | + | 4.25745i | −0.111384 | + | 0.192923i | −0.916329 | − | 0.400427i | \(-0.868862\pi\) |
0.804944 | + | 0.593350i | \(0.202195\pi\) | |||||||
\(488\) | −2.92100 | + | 5.33777i | −0.132227 | + | 0.241630i | ||||
\(489\) | −5.96374 | − | 9.58062i | −0.269690 | − | 0.433250i | ||||
\(490\) | 0.160865 | + | 5.27480i | 0.00726712 | + | 0.238291i | ||||
\(491\) | −5.07434 | −0.229002 | −0.114501 | − | 0.993423i | \(-0.536527\pi\) | ||||
−0.114501 | + | 0.993423i | \(0.536527\pi\) | |||||||
\(492\) | 8.96657 | + | 1.13663i | 0.404244 | + | 0.0512433i | ||||
\(493\) | 16.7408 | − | 28.9960i | 0.753970 | − | 1.30591i | ||||
\(494\) | −12.2232 | − | 4.34359i | −0.549949 | − | 0.195427i | ||||
\(495\) | −0.485228 | − | 7.29991i | −0.0218094 | − | 0.328106i | ||||
\(496\) | 5.95620 | + | 6.67378i | 0.267441 | + | 0.299662i | ||||
\(497\) | −16.1372 | + | 3.03599i | −0.723850 | + | 0.136183i | ||||
\(498\) | 6.99726 | − | 6.37562i | 0.313555 | − | 0.285698i | ||||
\(499\) | 17.6743 | − | 10.2042i | 0.791209 | − | 0.456805i | −0.0491790 | − | 0.998790i | \(-0.515660\pi\) |
0.840388 | + | 0.541985i | \(0.182327\pi\) | |||||||
\(500\) | 10.2276 | + | 1.64293i | 0.457390 | + | 0.0734742i | ||||
\(501\) | 0.991187 | + | 29.8563i | 0.0442830 | + | 1.33388i | ||||
\(502\) | 7.54141 | + | 8.84952i | 0.336589 | + | 0.394973i | ||||
\(503\) | −26.6102 | −1.18649 | −0.593245 | − | 0.805022i | \(-0.702153\pi\) | ||||
−0.593245 | + | 0.805022i | \(0.702153\pi\) | |||||||
\(504\) | −15.6601 | + | 16.0861i | −0.697554 | + | 0.716532i | ||||
\(505\) | −2.05236 | −0.0913289 | ||||||||
\(506\) | −0.500951 | − | 0.587845i | −0.0222700 | − | 0.0261329i | ||||
\(507\) | −0.677734 | − | 20.4145i | −0.0300992 | − | 0.906641i | ||||
\(508\) | 2.59796 | − | 16.1728i | 0.115266 | − | 0.717551i | ||||
\(509\) | −24.9978 | + | 14.4325i | −1.10801 | + | 0.639710i | −0.938313 | − | 0.345787i | \(-0.887612\pi\) |
−0.169697 | + | 0.985496i | \(0.554279\pi\) | |||||||
\(510\) | −4.17236 | + | 3.80168i | −0.184755 | + | 0.168341i | ||||
\(511\) | −8.45553 | + | 24.0844i | −0.374051 | + | 1.06543i | ||||
\(512\) | 22.5741 | − | 1.55218i | 0.997644 | − | 0.0685972i | ||||
\(513\) | 7.77301 | − | 5.58637i | 0.343187 | − | 0.246644i | ||||
\(514\) | −17.8957 | − | 6.35932i | −0.789343 | − | 0.280498i | ||||
\(515\) | −1.41891 | + | 2.45762i | −0.0625245 | + | 0.108296i | ||||
\(516\) | −0.815582 | + | 6.43390i | −0.0359040 | + | 0.283237i | ||||
\(517\) | −26.6686 | −1.17288 | ||||||||
\(518\) | −29.9752 | − | 4.69832i | −1.31703 | − | 0.206432i | ||||
\(519\) | 15.3663 | + | 24.6856i | 0.674505 | + | 1.08358i | ||||
\(520\) | −6.58599 | − | 3.60406i | −0.288815 | − | 0.158048i | ||||
\(521\) | 12.5564 | − | 21.7483i | 0.550105 | − | 0.952811i | −0.448161 | − | 0.893953i | \(-0.647921\pi\) |
0.998266 | − | 0.0588577i | \(-0.0187458\pi\) | |||||||
\(522\) | −23.5424 | + | 22.9260i | −1.03042 | + | 1.00344i | ||||
\(523\) | 1.54754 | + | 2.68042i | 0.0676692 | + | 0.117206i | 0.897875 | − | 0.440251i | \(-0.145110\pi\) |
−0.830206 | + | 0.557457i | \(0.811777\pi\) | |||||||
\(524\) | −15.2697 | − | 40.0417i | −0.667060 | − | 1.74923i | ||||
\(525\) | −6.47818 | + | 20.6168i | −0.282731 | + | 0.899790i | ||||
\(526\) | 20.9442 | − | 3.85799i | 0.913212 | − | 0.168216i | ||||
\(527\) | −8.37183 | + | 4.83348i | −0.364683 | + | 0.210550i | ||||
\(528\) | −21.8768 | − | 22.9331i | −0.952065 | − | 0.998035i | ||||
\(529\) | −11.4929 | + | 19.9062i | −0.499690 | + | 0.865489i | ||||
\(530\) | −2.24236 | − | 2.63131i | −0.0974018 | − | 0.114297i | ||||
\(531\) | 17.7635 | + | 8.73962i | 0.770871 | + | 0.379267i | ||||
\(532\) | −5.09745 | − | 8.30884i | −0.221002 | − | 0.360234i | ||||
\(533\) | −12.9915 | −0.562726 | ||||||||
\(534\) | −12.2378 | + | 38.4351i | −0.529580 | + | 1.66325i | ||||
\(535\) | −4.25316 | − | 2.45556i | −0.183880 | − | 0.106163i | ||||
\(536\) | 0.783272 | + | 34.2224i | 0.0338322 | + | 1.47818i | ||||
\(537\) | −6.14163 | − | 3.27913i | −0.265031 | − | 0.141505i | ||||
\(538\) | 18.4710 | − | 3.40241i | 0.796341 | − | 0.146688i | ||||
\(539\) | 4.83838 | − | 31.6550i | 0.208404 | − | 1.36348i | ||||
\(540\) | 4.95451 | − | 2.47870i | 0.213208 | − | 0.106666i | ||||
\(541\) | 23.8925 | − | 13.7944i | 1.02722 | − | 0.593066i | 0.111033 | − | 0.993817i | \(-0.464584\pi\) |
0.916187 | + | 0.400751i | \(0.131251\pi\) | |||||||
\(542\) | 8.91027 | − | 25.0742i | 0.382729 | − | 1.07703i | ||||
\(543\) | −0.853983 | − | 25.7234i | −0.0366479 | − | 1.10390i | ||||
\(544\) | −3.32494 | + | 24.2262i | −0.142556 | + | 1.03869i | ||||
\(545\) | −2.61113 | −0.111849 | ||||||||
\(546\) | 19.4231 | − | 25.7691i | 0.831230 | − | 1.10281i | ||||
\(547\) | 32.0757i | 1.37146i | 0.727856 | + | 0.685730i | \(0.240517\pi\) | ||||
−0.727856 | + | 0.685730i | \(0.759483\pi\) | |||||||
\(548\) | −5.70579 | + | 7.01449i | −0.243739 | + | 0.299644i | ||||
\(549\) | 3.59051 | + | 5.36286i | 0.153239 | + | 0.228881i | ||||
\(550\) | −28.7481 | − | 10.2158i | −1.22582 | − | 0.435603i | ||||
\(551\) | −7.13420 | − | 12.3568i | −0.303927 | − | 0.526417i | ||||
\(552\) | 0.263580 | − | 0.522084i | 0.0112187 | − | 0.0222214i | ||||
\(553\) | 0.0918460 | − | 0.0788743i | 0.00390569 | − | 0.00335407i | ||||
\(554\) | 32.3353 | − | 5.95626i | 1.37380 | − | 0.253057i | ||||
\(555\) | 6.60480 | + | 3.52642i | 0.280358 | + | 0.149688i | ||||
\(556\) | 4.70420 | − | 29.2845i | 0.199503 | − | 1.24194i | ||||
\(557\) | −8.23577 | + | 14.2648i | −0.348961 | + | 0.604417i | −0.986065 | − | 0.166360i | \(-0.946799\pi\) |
0.637104 | + | 0.770777i | \(0.280132\pi\) | |||||||
\(558\) | 9.19624 | − | 2.33383i | 0.389308 | − | 0.0987988i | ||||
\(559\) | − | 9.32199i | − | 0.394278i | ||||||
\(560\) | −2.15013 | − | 5.21582i | −0.0908596 | − | 0.220409i | ||||
\(561\) | 29.0782 | − | 18.1006i | 1.22768 | − | 0.764209i | ||||
\(562\) | 19.5138 | + | 22.8986i | 0.823138 | + | 0.965918i | ||||
\(563\) | 14.5542 | + | 8.40290i | 0.613388 | + | 0.354140i | 0.774290 | − | 0.632830i | \(-0.218107\pi\) |
−0.160902 | + | 0.986970i | \(0.551440\pi\) | |||||||
\(564\) | −7.81771 | − | 18.6198i | −0.329185 | − | 0.784037i | ||||
\(565\) | 1.03315 | + | 1.78947i | 0.0434651 | + | 0.0752837i | ||||
\(566\) | 2.20933 | + | 11.9940i | 0.0928650 | + | 0.504145i | ||||
\(567\) | 7.46118 | + | 22.6126i | 0.313340 | + | 0.949641i | ||||
\(568\) | 14.9974 | − | 9.12255i | 0.629277 | − | 0.382774i | ||||
\(569\) | −32.1947 | + | 18.5876i | −1.34967 | + | 0.779235i | −0.988203 | − | 0.153149i | \(-0.951059\pi\) |
−0.361471 | + | 0.932383i | \(0.617725\pi\) | |||||||
\(570\) | 0.514018 | + | 2.34991i | 0.0215298 | + | 0.0984270i | ||||
\(571\) | −6.80801 | − | 3.93061i | −0.284906 | − | 0.164491i | 0.350736 | − | 0.936474i | \(-0.385931\pi\) |
−0.635642 | + | 0.771984i | \(0.719265\pi\) | |||||||
\(572\) | 35.3411 | + | 28.7475i | 1.47769 | + | 1.20199i | ||||
\(573\) | −18.0896 | − | 29.0605i | −0.755704 | − | 1.21402i | ||||
\(574\) | −7.59674 | − | 6.13156i | −0.317082 | − | 0.255927i | ||||
\(575\) | − | 0.562982i | − | 0.0234780i | ||||||
\(576\) | 9.59872 | − | 21.9969i | 0.399947 | − | 0.916538i | ||||
\(577\) | 14.7236 | + | 8.50067i | 0.612951 | + | 0.353888i | 0.774120 | − | 0.633039i | \(-0.218193\pi\) |
−0.161168 | + | 0.986927i | \(0.551526\pi\) | |||||||
\(578\) | −2.24721 | − | 0.798558i | −0.0934715 | − | 0.0332156i | ||||
\(579\) | 19.2281 | + | 10.2662i | 0.799092 | + | 0.426650i | ||||
\(580\) | −2.94242 | − | 7.71589i | −0.122177 | − | 0.320385i | ||||
\(581\) | −10.0484 | + | 1.89048i | −0.416880 | + | 0.0784303i | ||||
\(582\) | −13.0152 | + | 11.8589i | −0.539497 | + | 0.491567i | ||||
\(583\) | 10.4891 | + | 18.1677i | 0.434415 | + | 0.752429i | ||||
\(584\) | −0.624395 | − | 27.2808i | −0.0258376 | − | 1.12889i | ||||
\(585\) | −6.61694 | + | 4.43014i | −0.273577 | + | 0.183164i | ||||
\(586\) | −20.8626 | − | 24.4814i | −0.861826 | − | 1.01132i | ||||
\(587\) | − | 24.3750i | − | 1.00606i | −0.864268 | − | 0.503032i | \(-0.832218\pi\) | ||
0.864268 | − | 0.503032i | \(-0.167782\pi\) | |||||||
\(588\) | 23.5197 | − | 5.90131i | 0.969935 | − | 0.243366i | ||||
\(589\) | 4.11963i | 0.169746i | ||||||||
\(590\) | −3.78653 | + | 3.22681i | −0.155889 | + | 0.132846i | ||||
\(591\) | 0.483785 | + | 14.5724i | 0.0199003 | + | 0.599430i | ||||
\(592\) | 31.7566 | − | 6.60433i | 1.30519 | − | 0.271436i | ||||
\(593\) | 0.0286004 | + | 0.0495374i | 0.00117448 | + | 0.00203426i | 0.866612 | − | 0.498983i | \(-0.166293\pi\) |
−0.865438 | + | 0.501017i | \(0.832959\pi\) | |||||||
\(594\) | −32.2915 | + | 9.34574i | −1.32494 | + | 0.383460i | ||||
\(595\) | 5.99174 | − | 1.12726i | 0.245637 | − | 0.0462133i | ||||
\(596\) | 40.2576 | − | 15.3520i | 1.64902 | − | 0.628844i | ||||
\(597\) | 11.6787 | − | 21.8736i | 0.477977 | − | 0.895225i | ||||
\(598\) | −0.281485 | + | 0.792122i | −0.0115108 | + | 0.0323923i | ||||
\(599\) | 35.8620 | + | 20.7049i | 1.46528 | + | 0.845980i | 0.999247 | − | 0.0387877i | \(-0.0123496\pi\) |
0.466033 | + | 0.884768i | \(0.345683\pi\) | |||||||
\(600\) | −1.29469 | − | 23.0664i | −0.0528556 | − | 0.941682i | ||||
\(601\) | − | 23.8559i | − | 0.973104i | −0.873652 | − | 0.486552i | \(-0.838254\pi\) | ||
0.873652 | − | 0.486552i | \(-0.161746\pi\) | |||||||
\(602\) | 4.39966 | − | 5.45099i | 0.179317 | − | 0.222166i | ||||
\(603\) | 32.5783 | + | 16.0285i | 1.32669 | + | 0.652731i | ||||
\(604\) | −4.36808 | − | 3.55312i | −0.177735 | − | 0.144574i | ||||
\(605\) | −4.58317 | − | 2.64609i | −0.186332 | − | 0.107579i | ||||
\(606\) | 2.01517 | + | 9.21268i | 0.0818608 | + | 0.374240i | ||||
\(607\) | −33.6542 | + | 19.4303i | −1.36598 | + | 0.788650i | −0.990412 | − | 0.138144i | \(-0.955886\pi\) |
−0.375570 | + | 0.926794i | \(0.622553\pi\) | |||||||
\(608\) | 8.23248 | + | 6.38917i | 0.333871 | + | 0.259115i | ||||
\(609\) | 34.6450 | − | 7.71636i | 1.40389 | − | 0.312683i | ||||
\(610\) | −1.59500 | + | 0.293803i | −0.0645796 | + | 0.0118958i | ||||
\(611\) | 14.5136 | + | 25.1382i | 0.587156 | + | 1.01698i | ||||
\(612\) | 21.1618 | + | 14.9962i | 0.855417 | + | 0.606185i | ||||
\(613\) | −16.8751 | − | 9.74286i | −0.681580 | − | 0.393510i | 0.118870 | − | 0.992910i | \(-0.462073\pi\) |
−0.800450 | + | 0.599400i | \(0.795406\pi\) | |||||||
\(614\) | −24.5597 | + | 20.9294i | −0.991150 | + | 0.844641i | ||||
\(615\) | 1.27311 | + | 2.04521i | 0.0513366 | + | 0.0824710i | ||||
\(616\) | 7.09771 | + | 33.4898i | 0.285975 | + | 1.34934i | ||||
\(617\) | 21.5819i | 0.868854i | 0.900707 | + | 0.434427i | \(0.143049\pi\) | ||||
−0.900707 | + | 0.434427i | \(0.856951\pi\) | |||||||
\(618\) | 12.4250 | + | 3.95613i | 0.499807 | + | 0.159139i | ||||
\(619\) | −5.60757 | + | 9.71259i | −0.225387 | + | 0.390382i | −0.956436 | − | 0.291944i | \(-0.905698\pi\) |
0.731048 | + | 0.682326i | \(0.239031\pi\) | |||||||
\(620\) | −0.378153 | + | 2.35407i | −0.0151870 | + | 0.0945418i | ||||
\(621\) | −0.362023 | − | 0.503728i | −0.0145275 | − | 0.0202139i | ||||
\(622\) | −6.14199 | − | 33.3436i | −0.246271 | − | 1.33696i | ||||
\(623\) | 33.0529 | − | 28.3847i | 1.32424 | − | 1.13721i | ||||
\(624\) | −9.71132 | + | 33.1021i | −0.388764 | + | 1.32514i | ||||
\(625\) | −10.4090 | − | 18.0290i | −0.416362 | − | 0.721160i | ||||
\(626\) | 10.6307 | − | 29.9158i | 0.424890 | − | 1.19568i | ||||
\(627\) | −0.484318 | − | 14.5885i | −0.0193418 | − | 0.582609i | ||||
\(628\) | 10.9980 | + | 8.94611i | 0.438869 | + | 0.356988i | ||||
\(629\) | 35.0534i | 1.39767i | ||||||||
\(630\) | −5.96010 | − | 0.532469i | −0.237456 | − | 0.0212141i | ||||
\(631\) | −22.3220 | −0.888626 | −0.444313 | − | 0.895872i | \(-0.646552\pi\) | ||||
−0.444313 | + | 0.895872i | \(0.646552\pi\) | |||||||
\(632\) | −0.0621306 | + | 0.113536i | −0.00247142 | + | 0.00451623i | ||||
\(633\) | −16.6586 | + | 0.553043i | −0.662121 | + | 0.0219815i | ||||
\(634\) | 2.82699 | + | 1.00459i | 0.112274 | + | 0.0398973i | ||||
\(635\) | 3.78105 | − | 2.18299i | 0.150046 | − | 0.0866292i | ||||
\(636\) | −9.60976 | + | 12.6492i | −0.381052 | + | 0.501572i | ||||
\(637\) | −32.4716 | + | 12.6665i | −1.28657 | + | 0.501866i | ||||
\(638\) | 9.07756 | + | 49.2803i | 0.359384 | + | 1.95102i | ||||
\(639\) | −1.23488 | − | 18.5778i | −0.0488510 | − | 0.734927i | ||||
\(640\) | 4.11779 | + | 4.40664i | 0.162770 | + | 0.174188i | ||||
\(641\) | −10.9414 | − | 6.31703i | −0.432160 | − | 0.249508i | 0.268107 | − | 0.963389i | \(-0.413602\pi\) |
−0.700266 | + | 0.713882i | \(0.746935\pi\) | |||||||
\(642\) | −6.84648 | + | 21.5027i | −0.270209 | + | 0.848645i | ||||
\(643\) | −25.9092 | −1.02176 | −0.510879 | − | 0.859652i | \(-0.670680\pi\) | ||||
−0.510879 | + | 0.859652i | \(0.670680\pi\) | |||||||
\(644\) | −0.538452 | + | 0.330338i | −0.0212180 | + | 0.0130172i | ||||
\(645\) | −1.46753 | + | 0.913508i | −0.0577839 | + | 0.0359693i | ||||
\(646\) | −8.57157 | + | 7.30454i | −0.337244 | + | 0.287393i | ||||
\(647\) | −8.29783 | + | 14.3723i | −0.326221 | + | 0.565032i | −0.981759 | − | 0.190131i | \(-0.939109\pi\) |
0.655538 | + | 0.755163i | \(0.272442\pi\) | |||||||
\(648\) | −15.9912 | − | 19.8061i | −0.628193 | − | 0.778058i | ||||
\(649\) | 26.1438 | − | 15.0941i | 1.02623 | − | 0.592496i | ||||
\(650\) | 6.01570 | + | 32.6580i | 0.235955 | + | 1.28095i | ||||
\(651\) | −9.77667 | − | 3.07201i | −0.383178 | − | 0.120402i | ||||
\(652\) | −4.64313 | − | 12.1757i | −0.181839 | − | 0.476836i | ||||
\(653\) | 2.57443 | + | 4.45904i | 0.100745 | + | 0.174496i | 0.911992 | − | 0.410208i | \(-0.134544\pi\) |
−0.811247 | + | 0.584704i | \(0.801211\pi\) | |||||||
\(654\) | 2.56382 | + | 11.7209i | 0.100253 | + | 0.458323i | ||||
\(655\) | 5.71124 | − | 9.89216i | 0.223157 | − | 0.386519i | ||||
\(656\) | 9.91149 | + | 3.26867i | 0.386979 | + | 0.127620i | ||||
\(657\) | −25.9702 | − | 12.7773i | −1.01319 | − | 0.498490i | ||||
\(658\) | −3.37766 | + | 21.5494i | −0.131675 | + | 0.840082i | ||||
\(659\) | 20.6891 | 0.805934 | 0.402967 | − | 0.915214i | \(-0.367979\pi\) | ||||
0.402967 | + | 0.915214i | \(0.367979\pi\) | |||||||
\(660\) | 1.06237 | − | 8.38074i | 0.0413527 | − | 0.326220i | ||||
\(661\) | 12.3911 | − | 21.4621i | 0.481960 | − | 0.834779i | −0.517826 | − | 0.855486i | \(-0.673258\pi\) |
0.999786 | + | 0.0207072i | \(0.00659177\pi\) | |||||||
\(662\) | 0.686108 | − | 1.93076i | 0.0266663 | − | 0.0750413i | ||||
\(663\) | −32.8869 | − | 17.5589i | −1.27722 | − | 0.681931i | ||||
\(664\) | 9.33873 | − | 5.68053i | 0.362413 | − | 0.220447i | ||||
\(665\) | 0.860676 | − | 2.45151i | 0.0333756 | − | 0.0950657i | ||||
\(666\) | 9.34435 | − | 33.1103i | 0.362086 | − | 1.28300i | ||||
\(667\) | −0.800778 | + | 0.462329i | −0.0310063 | + | 0.0179015i | ||||
\(668\) | −5.47091 | + | 34.0574i | −0.211676 | + | 1.31772i | ||||
\(669\) | −34.9404 | + | 1.15997i | −1.35088 | + | 0.0448472i | ||||
\(670\) | −6.94451 | + | 5.91799i | −0.268290 | + | 0.228632i | ||||
\(671\) | 9.84137 | 0.379922 | ||||||||
\(672\) | −21.3017 | + | 14.7729i | −0.821731 | + | 0.569876i | ||||
\(673\) | 0.492833 | 0.0189973 | 0.00949866 | − | 0.999955i | \(-0.496976\pi\) | ||||
0.00949866 | + | 0.999955i | \(0.496976\pi\) | |||||||
\(674\) | −23.3231 | + | 19.8755i | −0.898372 | + | 0.765577i | ||||
\(675\) | −22.3339 | − | 10.0821i | −0.859633 | − | 0.388061i | ||||
\(676\) | 3.74079 | − | 23.2871i | 0.143877 | − | 0.895659i | ||||
\(677\) | 35.2987 | − | 20.3797i | 1.35664 | − | 0.783256i | 0.367471 | − | 0.930035i | \(-0.380224\pi\) |
0.989169 | + | 0.146779i | \(0.0468905\pi\) | |||||||
\(678\) | 7.01819 | − | 6.39469i | 0.269532 | − | 0.245587i | ||||
\(679\) | 18.6905 | − | 3.51636i | 0.717276 | − | 0.134946i | ||||
\(680\) | −5.56854 | + | 3.38721i | −0.213544 | + | 0.129894i | ||||
\(681\) | −0.974039 | + | 1.82432i | −0.0373253 | + | 0.0699082i | ||||
\(682\) | 4.84442 | − | 13.6326i | 0.185502 | − | 0.522019i | ||||
\(683\) | 14.8402 | − | 25.7039i | 0.567843 | − | 0.983532i | −0.428936 | − | 0.903335i | \(-0.641112\pi\) |
0.996779 | − | 0.0801976i | \(-0.0255551\pi\) | |||||||
\(684\) | 10.0436 | − | 4.61467i | 0.384028 | − | 0.176446i | ||||
\(685\) | −2.41009 | −0.0920846 | ||||||||
\(686\) | −24.9658 | − | 7.91882i | −0.953200 | − | 0.302342i | ||||
\(687\) | −33.5322 | + | 20.8731i | −1.27933 | + | 0.796360i | ||||
\(688\) | −2.34541 | + | 7.11192i | −0.0894179 | + | 0.271139i | ||||
\(689\) | 11.4168 | − | 19.7744i | 0.434944 | − | 0.753346i | ||||
\(690\) | 0.152285 | − | 0.0333107i | 0.00579740 | − | 0.00126812i | ||||
\(691\) | −3.83116 | − | 6.63576i | −0.145744 | − | 0.252436i | 0.783906 | − | 0.620879i | \(-0.213224\pi\) |
−0.929650 | + | 0.368443i | \(0.879891\pi\) | |||||||
\(692\) | 11.9636 | + | 31.3721i | 0.454787 | + | 1.19259i | ||||
\(693\) | 34.9825 | + | 9.72928i | 1.32887 | + | 0.369585i | ||||
\(694\) | 7.03883 | + | 38.2124i | 0.267190 | + | 1.45052i | ||||
\(695\) | 6.84645 | − | 3.95280i | 0.259701 | − | 0.149938i | ||||
\(696\) | −31.7462 | + | 20.7841i | −1.20334 | + | 0.787818i | ||||
\(697\) | −5.63936 | + | 9.76765i | −0.213606 | + | 0.369976i | ||||
\(698\) | −16.8134 | + | 14.3281i | −0.636398 | + | 0.542327i | ||||
\(699\) | −14.9111 | − | 23.9543i | −0.563988 | − | 0.906034i | ||||
\(700\) | −11.8958 | + | 21.9358i | −0.449620 | + | 0.829097i | ||||
\(701\) | −6.75507 | −0.255136 | −0.127568 | − | 0.991830i | \(-0.540717\pi\) | ||||
−0.127568 | + | 0.991830i | \(0.540717\pi\) | |||||||
\(702\) | 26.3831 | + | 25.3524i | 0.995767 | + | 0.956864i | ||||
\(703\) | 12.9369 | + | 7.46910i | 0.487923 | + | 0.281702i | ||||
\(704\) | −19.7295 | − | 30.8238i | −0.743585 | − | 1.16172i | ||||
\(705\) | 2.53517 | − | 4.74825i | 0.0954801 | − | 0.178829i | ||||
\(706\) | 3.44636 | + | 18.7096i | 0.129706 | + | 0.704145i | ||||
\(707\) | 3.37423 | − | 9.61100i | 0.126901 | − | 0.361459i | ||||
\(708\) | 18.2025 | + | 13.8287i | 0.684092 | + | 0.519715i | ||||
\(709\) | −36.0884 | + | 20.8357i | −1.35533 | + | 0.782499i | −0.988990 | − | 0.147982i | \(-0.952722\pi\) |
−0.366339 | + | 0.930482i | \(0.619389\pi\) | |||||||
\(710\) | 4.40877 | + | 1.56668i | 0.165458 | + | 0.0587965i | ||||
\(711\) | 0.0763714 | + | 0.114070i | 0.00286415 | + | 0.00427795i | ||||
\(712\) | −22.3591 | + | 40.8586i | −0.837944 | + | 1.53124i | ||||
\(713\) | 0.266971 | 0.00999815 | ||||||||
\(714\) | −10.9433 | − | 25.7890i | −0.409541 | − | 0.965129i | ||||
\(715\) | 12.1427i | 0.454112i | ||||||||
\(716\) | −6.23655 | − | 5.07299i | −0.233071 | − | 0.189587i | ||||
\(717\) | −35.0404 | + | 1.16329i | −1.30861 | + | 0.0434439i | ||||
\(718\) | −10.9258 | + | 30.7462i | −0.407749 | + | 1.14744i | ||||
\(719\) | 23.2782 | + | 40.3190i | 0.868131 | + | 1.50365i | 0.863904 | + | 0.503656i | \(0.168012\pi\) |
0.00422645 | + | 0.999991i | \(0.498655\pi\) | |||||||
\(720\) | 6.16281 | − | 1.71502i | 0.229674 | − | 0.0639149i | ||||
\(721\) | −9.17600 | − | 10.6851i | −0.341732 | − | 0.397934i | ||||
\(722\) | −3.99823 | − | 21.7056i | −0.148799 | − | 0.807799i | ||||
\(723\) | −7.52936 | + | 14.1021i | −0.280020 | + | 0.524462i | ||||
\(724\) | 4.71360 | − | 29.3431i | 0.175180 | − | 1.09053i | ||||
\(725\) | −18.2630 | + | 31.6325i | −0.678271 | + | 1.17480i | ||||
\(726\) | −7.37771 | + | 23.1712i | −0.273813 | + | 0.859962i | ||||
\(727\) | 10.7218i | 0.397651i | 0.980035 | + | 0.198825i | \(0.0637127\pi\) | ||||
−0.980035 | + | 0.198825i | \(0.936287\pi\) | |||||||
\(728\) | 27.7053 | − | 24.9162i | 1.02683 | − | 0.923456i | ||||
\(729\) | −26.4665 | + | 5.34075i | −0.980241 | + | 0.197805i | ||||
\(730\) | 5.53590 | − | 4.71760i | 0.204893 | − | 0.174606i | ||||
\(731\) | −7.00871 | − | 4.04648i | −0.259227 | − | 0.149665i | ||||
\(732\) | 2.88493 | + | 6.87119i | 0.106630 | + | 0.253966i | ||||
\(733\) | 12.5202 | + | 21.6857i | 0.462445 | + | 0.800979i | 0.999082 | − | 0.0428345i | \(-0.0136388\pi\) |
−0.536637 | + | 0.843813i | \(0.680305\pi\) | |||||||
\(734\) | 30.0145 | − | 5.52876i | 1.10786 | − | 0.204070i | ||||
\(735\) | 5.17611 | + | 3.87065i | 0.190924 | + | 0.142771i | ||||
\(736\) | 0.414048 | − | 0.533503i | 0.0152620 | − | 0.0196652i | ||||
\(737\) | 47.9478 | − | 27.6827i | 1.76618 | − | 1.01971i | ||||
\(738\) | 7.93056 | − | 7.72290i | 0.291928 | − | 0.284284i | ||||
\(739\) | 45.0173 | + | 25.9908i | 1.65599 | + | 0.956086i | 0.974538 | + | 0.224224i | \(0.0719846\pi\) |
0.681452 | + | 0.731863i | \(0.261349\pi\) | |||||||
\(740\) | 6.70688 | + | 5.45557i | 0.246550 | + | 0.200551i | ||||
\(741\) | −13.4878 | + | 8.39588i | −0.495486 | + | 0.308430i | ||||
\(742\) | 16.0088 | − | 6.17468i | 0.587700 | − | 0.226679i | ||||
\(743\) | − | 26.4603i | − | 0.970735i | −0.874310 | − | 0.485367i | \(-0.838686\pi\) | ||
0.874310 | − | 0.485367i | \(-0.161314\pi\) | |||||||
\(744\) | 10.9383 | − | 0.613956i | 0.401018 | − | 0.0225087i | ||||
\(745\) | 9.94549 | + | 5.74203i | 0.364375 | + | 0.210372i | ||||
\(746\) | −0.0868790 | + | 0.244485i | −0.00318087 | + | 0.00895122i | ||||
\(747\) | −0.768946 | − | 11.5682i | −0.0281343 | − | 0.423260i | ||||
\(748\) | 36.9546 | − | 14.0924i | 1.35119 | − | 0.515270i | ||||
\(749\) | 18.4916 | − | 15.8800i | 0.675670 | − | 0.580242i | ||||
\(750\) | 9.37776 | − | 8.54463i | 0.342428 | − | 0.312006i | ||||
\(751\) | −9.69510 | − | 16.7924i | −0.353779 | − | 0.612763i | 0.633129 | − | 0.774046i | \(-0.281770\pi\) |
−0.986908 | + | 0.161283i | \(0.948437\pi\) | |||||||
\(752\) | −4.74790 | − | 22.8300i | −0.173138 | − | 0.832526i | ||||
\(753\) | 14.2323 | − | 0.472491i | 0.518652 | − | 0.0172185i | ||||
\(754\) | 41.5122 | − | 35.3759i | 1.51178 | − | 1.28832i | ||||
\(755\) | − | 1.50081i | − | 0.0546202i | ||||||
\(756\) | 3.46195 | + | 27.2766i | 0.125910 | + | 0.992042i | ||||
\(757\) | 5.19772i | 0.188914i | 0.995529 | + | 0.0944572i | \(0.0301115\pi\) | ||||
−0.995529 | + | 0.0944572i | \(0.969888\pi\) | |||||||
\(758\) | −2.69091 | − | 3.15767i | −0.0977382 | − | 0.114692i | ||||
\(759\) | −0.945403 | + | 0.0313861i | −0.0343160 | + | 0.00113924i | ||||
\(760\) | 0.0635562 | + | 2.77687i | 0.00230543 | + | 0.100728i | ||||
\(761\) | −18.8681 | − | 32.6805i | −0.683969 | − | 1.18467i | −0.973760 | − | 0.227578i | \(-0.926919\pi\) |
0.289791 | − | 0.957090i | \(-0.406414\pi\) | |||||||
\(762\) | −13.5116 | − | 14.8290i | −0.489473 | − | 0.537198i | ||||
\(763\) | 4.29288 | − | 12.2277i | 0.155413 | − | 0.442671i | ||||
\(764\) | −14.0839 | − | 36.9321i | −0.509536 | − | 1.33616i | ||||
\(765\) | 0.458511 | + | 6.89796i | 0.0165775 | + | 0.249396i | ||||
\(766\) | 20.4547 | + | 7.26871i | 0.739060 | + | 0.262629i | ||||
\(767\) | −28.4559 | − | 16.4290i | −1.02748 | − | 0.593218i | ||||
\(768\) | 15.7374 | − | 22.8108i | 0.567875 | − | 0.823115i | ||||
\(769\) | − | 13.9517i | − | 0.503110i | −0.967843 | − | 0.251555i | \(-0.919058\pi\) | ||
0.967843 | − | 0.251555i | \(-0.0809419\pi\) | |||||||
\(770\) | −5.73096 | + | 7.10041i | −0.206529 | + | 0.255881i | ||||
\(771\) | −19.7471 | + | 12.2921i | −0.711173 | + | 0.442691i | ||||
\(772\) | 19.5253 | + | 15.8824i | 0.702729 | + | 0.571620i | ||||
\(773\) | −21.5519 | − | 12.4430i | −0.775169 | − | 0.447544i | 0.0595465 | − | 0.998226i | \(-0.481035\pi\) |
−0.834715 | + | 0.550682i | \(0.814368\pi\) | |||||||
\(774\) | 5.54151 | + | 5.69052i | 0.199186 | + | 0.204542i | ||||
\(775\) | 9.13305 | − | 5.27297i | 0.328069 | − | 0.189411i | ||||
\(776\) | −17.3704 | + | 10.5660i | −0.623561 | + | 0.379297i | ||||
\(777\) | −27.3726 | + | 25.1320i | −0.981988 | + | 0.901604i | ||||
\(778\) | 1.02507 | + | 5.56492i | 0.0367506 | + | 0.199512i | ||||
\(779\) | 2.40324 | + | 4.16254i | 0.0861051 | + | 0.149138i | ||||
\(780\) | −8.47798 | + | 3.55956i | −0.303561 | + | 0.127453i | ||||
\(781\) | −24.5878 | − | 14.1958i | −0.879822 | − | 0.507966i | ||||
\(782\) | 0.473368 | + | 0.555478i | 0.0169276 | + | 0.0198638i | ||||
\(783\) | 4.00028 | + | 40.0471i | 0.142958 | + | 1.43117i | ||||
\(784\) | 27.9601 | − | 1.49368i | 0.998576 | − | 0.0533457i | ||||
\(785\) | 3.77877i | 0.134870i | ||||||||
\(786\) | −50.0119 | − | 15.9238i | −1.78386 | − | 0.567984i | ||||
\(787\) | −4.90837 | + | 8.50154i | −0.174964 | + | 0.303047i | −0.940149 | − | 0.340764i | \(-0.889314\pi\) |
0.765185 | + | 0.643811i | \(0.222648\pi\) | |||||||
\(788\) | −2.67028 | + | 16.6230i | −0.0951247 | + | 0.592169i | ||||
\(789\) | 12.2848 | − | 23.0087i | 0.437350 | − | 0.819133i | ||||
\(790\) | −0.0339262 | + | 0.00624930i | −0.00120704 | + | 0.000222340i | ||||
\(791\) | −10.0785 | + | 1.89613i | −0.358350 | + | 0.0674188i | ||||
\(792\) | −38.6628 | + | 3.46010i | −1.37382 | + | 0.122949i | ||||
\(793\) | −5.35587 | − | 9.27663i | −0.190192 | − | 0.329423i | ||||
\(794\) | 31.2341 | + | 11.0992i | 1.10846 | + | 0.393897i | ||||
\(795\) | −4.23181 | + | 0.140490i | −0.150087 | + | 0.00498268i | ||||
\(796\) | 18.0676 | − | 22.2116i | 0.640388 | − | 0.787269i | ||||
\(797\) | − | 11.3322i | − | 0.401406i | −0.979652 | − | 0.200703i | \(-0.935677\pi\) | ||
0.979652 | − | 0.200703i | \(-0.0643226\pi\) | |||||||
\(798\) | −11.8495 | − | 1.45633i | −0.419467 | − | 0.0515534i | ||||
\(799\) | 25.2002 | 0.891518 | ||||||||
\(800\) | 3.62726 | − | 26.4290i | 0.128243 | − | 0.934405i | ||||
\(801\) | 27.4840 | + | 41.0507i | 0.971100 | + | 1.45045i | ||||
\(802\) | −7.95264 | + | 22.3794i | −0.280817 | + | 0.790244i | ||||
\(803\) | −38.2222 | + | 22.0676i | −1.34883 | + | 0.778748i | ||||
\(804\) | 33.3835 | + | 25.3619i | 1.17734 | + | 0.894445i | ||||
\(805\) | −0.158870 | − | 0.0557758i | −0.00559942 | − | 0.00196584i | ||||
\(806\) | −15.4867 | + | 2.85270i | −0.545497 | + | 0.100482i | ||||
\(807\) | 10.8341 | − | 20.2917i | 0.381378 | − | 0.714301i | ||||
\(808\) | 0.249168 | + | 10.8866i | 0.00876570 | + | 0.382988i | ||||
\(809\) | −19.0031 | − | 10.9714i | −0.668113 | − | 0.385735i | 0.127248 | − | 0.991871i | \(-0.459385\pi\) |
−0.795361 | + | 0.606136i | \(0.792719\pi\) | |||||||
\(810\) | 1.40573 | − | 6.63782i | 0.0493923 | − | 0.233229i | ||||
\(811\) | −12.2220 | −0.429171 | −0.214586 | − | 0.976705i | \(-0.568840\pi\) | ||||
−0.214586 | + | 0.976705i | \(0.568840\pi\) | |||||||
\(812\) | 40.9703 | − | 1.09357i | 1.43778 | − | 0.0383769i | ||||
\(813\) | −17.2230 | − | 27.6683i | −0.604036 | − | 0.970370i | ||||
\(814\) | −34.0272 | − | 39.9295i | −1.19265 | − | 1.39953i | ||||
\(815\) | 1.73664 | − | 3.00796i | 0.0608320 | − | 0.105364i | ||||
\(816\) | 20.6722 | + | 21.6704i | 0.723673 | + | 0.758614i | ||||
\(817\) | −2.98680 | + | 1.72443i | −0.104495 | + | 0.0603302i | ||||
\(818\) | 19.2314 | − | 3.54248i | 0.672410 | − | 0.123860i | ||||
\(819\) | −9.86718 | − | 38.2699i | −0.344787 | − | 1.33726i | ||||
\(820\) | 0.991189 | + | 2.59919i | 0.0346138 | + | 0.0907678i | ||||
\(821\) | −22.2720 | − | 38.5763i | −0.777299 | − | 1.34632i | −0.933493 | − | 0.358595i | \(-0.883256\pi\) |
0.156195 | − | 0.987726i | \(-0.450077\pi\) | |||||||
\(822\) | 2.36641 | + | 10.8184i | 0.0825382 | + | 0.377336i | ||||
\(823\) | 13.6219 | − | 23.5938i | 0.474830 | − | 0.822429i | −0.524755 | − | 0.851254i | \(-0.675843\pi\) |
0.999584 | + | 0.0288241i | \(0.00917627\pi\) | |||||||
\(824\) | 13.2085 | + | 7.22808i | 0.460139 | + | 0.251802i | ||||
\(825\) | −31.7222 | + | 19.7464i | −1.10443 | + | 0.687483i | ||||
\(826\) | −8.88553 | − | 23.0370i | −0.309167 | − | 0.801561i | ||||
\(827\) | 10.2913 | 0.357864 | 0.178932 | − | 0.983861i | \(-0.442736\pi\) | ||||
0.178932 | + | 0.983861i | \(0.442736\pi\) | |||||||
\(828\) | −0.299052 | − | 0.650874i | −0.0103928 | − | 0.0226194i | ||||
\(829\) | −16.2859 | + | 28.2081i | −0.565634 | + | 0.979707i | 0.431356 | + | 0.902182i | \(0.358035\pi\) |
−0.996990 | + | 0.0775252i | \(0.975298\pi\) | |||||||
\(830\) | 2.74530 | + | 0.975558i | 0.0952908 | + | 0.0338621i | ||||
\(831\) | 18.9662 | − | 35.5226i | 0.657929 | − | 1.23227i | ||||
\(832\) | −18.3178 | + | 35.3723i | −0.635056 | + | 1.22631i | ||||
\(833\) | −4.57197 | + | 29.9120i | −0.158409 | + | 1.03639i | ||||
\(834\) | −24.4658 | − | 26.8513i | −0.847181 | − | 0.929785i | ||||
\(835\) | −7.96232 | + | 4.59705i | −0.275547 | + | 0.159087i | ||||
\(836\) | 2.67322 | − | 16.6413i | 0.0924553 | − | 0.575551i | ||||
\(837\) | 4.78103 | − | 10.5909i | 0.165257 | − | 0.366077i | ||||
\(838\) | −16.1049 | − | 18.8984i | −0.556333 | − | 0.652833i | ||||
\(839\) | 4.55619 | 0.157297 | 0.0786486 | − | 0.996902i | \(-0.474939\pi\) | ||||
0.0786486 | + | 0.996902i | \(0.474939\pi\) | |||||||
\(840\) | −6.63745 | − | 1.91989i | −0.229014 | − | 0.0662424i | ||||
\(841\) | 30.9915 | 1.06867 | ||||||||
\(842\) | 18.2443 | + | 21.4089i | 0.628740 | + | 0.737800i | ||||
\(843\) | 36.8266 | − | 1.22259i | 1.26838 | − | 0.0421084i | ||||
\(844\) | −19.0027 | − | 3.05255i | −0.654100 | − | 0.105073i | ||||
\(845\) | 5.44432 | − | 3.14328i | 0.187290 | − | 0.108132i | ||||
\(846\) | −23.8033 | − | 6.71773i | −0.818373 | − | 0.230960i | ||||
\(847\) | 19.9264 | − | 17.1122i | 0.684681 | − | 0.587981i | ||||
\(848\) | −13.6853 | + | 12.2138i | −0.469956 | + | 0.419425i | ||||
\(849\) | 13.1763 | + | 7.03504i | 0.452208 | + | 0.241442i | ||||
\(850\) | 27.1652 | + | 9.65329i | 0.931757 | + | 0.331105i | ||||
\(851\) | 0.484032 | − | 0.838369i | 0.0165924 | − | 0.0287389i | ||||
\(852\) | 2.70367 | − | 21.3285i | 0.0926261 | − | 0.730702i | ||||
\(853\) | 50.6930 | 1.73570 | 0.867848 | − | 0.496830i | \(-0.165503\pi\) | ||||
0.867848 | + | 0.496830i | \(0.165503\pi\) | |||||||
\(854\) | 1.24644 | − | 7.95226i | 0.0426523 | − | 0.272121i | ||||
\(855\) | 2.64347 | + | 1.30058i | 0.0904048 | + | 0.0444790i | ||||
\(856\) | −12.5089 | + | 22.8586i | −0.427547 | + | 0.781290i | ||||
\(857\) | 3.66887 | − | 6.35467i | 0.125326 | − | 0.217071i | −0.796534 | − | 0.604594i | \(-0.793336\pi\) |
0.921860 | + | 0.387522i | \(0.126669\pi\) | |||||||
\(858\) | 54.5065 | − | 11.9227i | 1.86082 | − | 0.407035i | ||||
\(859\) | −28.8455 | − | 49.9619i | −0.984195 | − | 1.70468i | −0.645458 | − | 0.763795i | \(-0.723334\pi\) |
−0.338737 | − | 0.940881i | \(-0.610000\pi\) | |||||||
\(860\) | −1.86503 | + | 0.711221i | −0.0635971 | + | 0.0242524i | ||||
\(861\) | −11.6706 | + | 2.59935i | −0.397733 | + | 0.0885856i | ||||
\(862\) | −40.7630 | + | 7.50866i | −1.38839 | + | 0.255746i | ||||
\(863\) | −31.1345 | + | 17.9755i | −1.05983 | + | 0.611894i | −0.925385 | − | 0.379027i | \(-0.876259\pi\) |
−0.134445 | + | 0.990921i | \(0.542925\pi\) | |||||||
\(864\) | −13.7495 | − | 25.9798i | −0.467769 | − | 0.883851i | ||||
\(865\) | −4.47467 | + | 7.75035i | −0.152143 | + | 0.263520i | ||||
\(866\) | 11.5051 | + | 13.5008i | 0.390959 | + | 0.458774i | ||||
\(867\) | −2.47969 | + | 1.54356i | −0.0842148 | + | 0.0524220i | ||||
\(868\) | −10.4022 | − | 5.64111i | −0.353073 | − | 0.191472i | ||||
\(869\) | 0.209329 | 0.00710101 | ||||||||
\(870\) | −9.63711 | − | 3.06846i | −0.326729 | − | 0.104031i | ||||
\(871\) | −52.1883 | − | 30.1309i | −1.76833 | − | 1.02095i | ||||
\(872\) | 0.317006 | + | 13.8505i | 0.0107352 | + | 0.469037i | ||||
\(873\) | 1.43027 | + | 21.5174i | 0.0484073 | + | 0.728252i | ||||
\(874\) | 0.305870 | − | 0.0563420i | 0.0103462 | − | 0.00190580i | ||||
\(875\) | −13.4670 | + | 2.53363i | −0.455267 | + | 0.0856523i | ||||
\(876\) | −26.6120 | − | 20.2175i | −0.899137 | − | 0.683088i | ||||
\(877\) | 43.3964 | − | 25.0550i | 1.46539 | − | 0.846046i | 0.466142 | − | 0.884710i | \(-0.345644\pi\) |
0.999252 | + | 0.0386646i | \(0.0123104\pi\) | |||||||
\(878\) | 6.44788 | − | 18.1449i | 0.217605 | − | 0.612359i | ||||
\(879\) | −39.3722 | + | 1.30710i | −1.32799 | + | 0.0440875i | ||||
\(880\) | 3.05511 | − | 9.26392i | 0.102988 | − | 0.312287i | ||||
\(881\) | 47.9585 | 1.61576 | 0.807882 | − | 0.589344i | \(-0.200614\pi\) | ||||
0.807882 | + | 0.589344i | \(0.200614\pi\) | |||||||
\(882\) | 12.2923 | − | 27.0351i | 0.413904 | − | 0.910321i | ||||
\(883\) | 0.345258i | 0.0116188i | 0.999983 | + | 0.00580942i | \(0.00184921\pi\) | ||||
−0.999983 | + | 0.00580942i | \(0.998151\pi\) | |||||||
\(884\) | −33.3952 | − | 27.1646i | −1.12320 | − | 0.913644i | ||||
\(885\) | 0.202169 | + | 6.08969i | 0.00679585 | + | 0.204703i | ||||
\(886\) | 17.9153 | + | 6.36630i | 0.601876 | + | 0.213880i | ||||
\(887\) | 13.7032 | + | 23.7346i | 0.460109 | + | 0.796931i | 0.998966 | − | 0.0454656i | \(-0.0144771\pi\) |
−0.538857 | + | 0.842397i | \(0.681144\pi\) | |||||||
\(888\) | 17.9037 | − | 35.4627i | 0.600809 | − | 1.19005i | ||||
\(889\) | 4.00641 | + | 21.2952i | 0.134371 | + | 0.714220i | ||||
\(890\) | −12.2091 | + | 2.24895i | −0.409251 | + | 0.0753851i | ||||
\(891\) | −15.6856 | + | 38.0669i | −0.525487 | + | 1.27529i | ||||
\(892\) | −39.8570 | − | 6.40254i | −1.33451 | − | 0.214373i | ||||
\(893\) | 5.36959 | − | 9.30041i | 0.179687 | − | 0.311226i | ||||
\(894\) | 16.0097 | − | 50.2815i | 0.535443 | − | 1.68167i | ||||
\(895\) | − | 2.14280i | − | 0.0716258i | ||||||
\(896\) | −27.4058 | + | 12.0384i | −0.915563 | + | 0.402175i | ||||
\(897\) | 0.544092 | + | 0.874071i | 0.0181667 | + | 0.0291844i | ||||
\(898\) | 14.9909 | + | 17.5912i | 0.500253 | + | 0.587025i | ||||
\(899\) | −15.0004 | − | 8.66049i | −0.500292 | − | 0.288844i | ||||
\(900\) | −23.0860 | − | 16.3597i | −0.769533 | − | 0.545324i | ||||
\(901\) | −9.91157 | − | 17.1673i | −0.330202 | − | 0.571927i | ||||
\(902\) | −3.05789 | − | 16.6007i | −0.101817 | − | 0.552742i | ||||
\(903\) | −1.86515 | − | 8.37417i | −0.0620682 | − | 0.278675i | ||||
\(904\) | 9.36666 | − | 5.69752i | 0.311531 | − | 0.189497i | ||||
\(905\) | 6.86014 | − | 3.96070i | 0.228039 | − | 0.131658i | ||||
\(906\) | −6.73688 | + | 1.47362i | −0.223818 | + | 0.0489577i | ||||
\(907\) | −7.67380 | − | 4.43047i | −0.254804 | − | 0.147111i | 0.367158 | − | 0.930159i | \(-0.380331\pi\) |
−0.621962 | + | 0.783047i | \(0.713664\pi\) | |||||||
\(908\) | −1.50689 | + | 1.85252i | −0.0500079 | + | 0.0614779i | ||||
\(909\) | 10.3636 | + | 5.09885i | 0.343737 | + | 0.169118i | ||||
\(910\) | 9.81186 | + | 1.53791i | 0.325260 | + | 0.0509813i | ||||
\(911\) | 17.2124i | 0.570272i | 0.958487 | + | 0.285136i | \(0.0920388\pi\) | ||||
−0.958487 | + | 0.285136i | \(0.907961\pi\) | |||||||
\(912\) | 12.4025 | − | 3.01185i | 0.410687 | − | 0.0997323i | ||||
\(913\) | −15.3106 | − | 8.83959i | −0.506707 | − | 0.292548i | ||||
\(914\) | 39.0166 | + | 13.8648i | 1.29055 | + | 0.458605i | ||||
\(915\) | −0.935542 | + | 1.75222i | −0.0309281 | + | 0.0579266i | ||||
\(916\) | −42.6149 | + | 16.2510i | −1.40804 | + | 0.536948i | ||||
\(917\) | 36.9343 | + | 43.0086i | 1.21968 | + | 1.42027i | ||||
\(918\) | 30.5135 | − | 8.83115i | 1.00710 | − | 0.291471i | ||||
\(919\) | 2.91012 | + | 5.04048i | 0.0959961 | + | 0.166270i | 0.910024 | − | 0.414556i | \(-0.136063\pi\) |
−0.814028 | + | 0.580826i | \(0.802730\pi\) | |||||||
\(920\) | 0.179954 | − | 0.00411874i | 0.00593292 | − | 0.000135791i | ||||
\(921\) | 1.31129 | + | 39.4982i | 0.0432084 | + | 1.30151i | ||||
\(922\) | 5.56764 | + | 6.53339i | 0.183360 | + | 0.215166i | ||||
\(923\) | 30.9025i | 1.01717i | ||||||||
\(924\) | 37.4996 | + | 18.7535i | 1.23365 | + | 0.616945i | ||||
\(925\) | − | 38.2407i | − | 1.25734i | ||||||
\(926\) | −3.55638 | + | 3.03068i | −0.116870 | + | 0.0995944i | ||||
\(927\) | 13.2705 | − | 8.88482i | 0.435862 | − | 0.291816i | ||||
\(928\) | −40.5710 | + | 16.5445i | −1.33181 | + | 0.543101i | ||||
\(929\) | −3.36170 | − | 5.82263i | −0.110294 | − | 0.191034i | 0.805595 | − | 0.592467i | \(-0.201846\pi\) |
−0.915889 | + | 0.401432i | \(0.868512\pi\) | |||||||
\(930\) | 1.96671 | + | 2.15848i | 0.0644911 | + | 0.0707792i | ||||
\(931\) | 10.0652 | + | 8.06092i | 0.329873 | + | 0.264186i | ||||
\(932\) | −11.6092 | − | 30.4427i | −0.380271 | − | 0.997184i | ||||
\(933\) | −36.6303 | − | 19.5576i | −1.19922 | − | 0.640287i | ||||
\(934\) | −3.84886 | + | 10.8310i | −0.125939 | + | 0.354402i | ||||
\(935\) | 9.12949 | + | 5.27091i | 0.298566 | + | 0.172377i | ||||
\(936\) | 24.3026 | + | 34.5611i | 0.794355 | + | 1.12966i | ||||
\(937\) | 5.64519i | 0.184420i | 0.995740 | + | 0.0922102i | \(0.0293932\pi\) | ||||
−0.995740 | + | 0.0922102i | \(0.970607\pi\) | |||||||
\(938\) | −16.2961 | − | 42.2500i | −0.532086 | − | 1.37951i | ||||
\(939\) | −20.5485 | − | 33.0107i | −0.670576 | − | 1.07726i | ||||
\(940\) | 3.92205 | − | 4.82163i | 0.127923 | − | 0.157264i | ||||
\(941\) | 39.2739 | + | 22.6748i | 1.28029 | + | 0.739177i | 0.976902 | − | 0.213689i | \(-0.0685479\pi\) |
0.303391 | + | 0.952866i | \(0.401881\pi\) | |||||||
\(942\) | 16.9622 | − | 3.71030i | 0.552659 | − | 0.120888i | ||||
\(943\) | 0.269752 | − | 0.155741i | 0.00878433 | − | 0.00507164i | ||||
\(944\) | 17.5760 | + | 19.6935i | 0.572051 | + | 0.640970i | ||||
\(945\) | −5.05778 | + | 5.30362i | −0.164529 | + | 0.172527i | ||||
\(946\) | 11.9117 | − | 2.19417i | 0.387283 | − | 0.0713385i | ||||
\(947\) | 0.0324938 | + | 0.0562810i | 0.00105591 | + | 0.00182889i | 0.866553 | − | 0.499085i | \(-0.166331\pi\) |
−0.865497 | + | 0.500914i | \(0.832997\pi\) | |||||||
\(948\) | 0.0613634 | + | 0.146152i | 0.00199299 | + | 0.00474681i | ||||
\(949\) | 41.6025 | + | 24.0192i | 1.35048 | + | 0.779697i | ||||
\(950\) | 9.35095 | − | 7.96871i | 0.303385 | − | 0.258539i | ||||
\(951\) | 3.11946 | − | 1.94180i | 0.101155 | − | 0.0629672i | ||||
\(952\) | −6.70690 | − | 31.6458i | −0.217372 | − | 1.02564i | ||||
\(953\) | − | 33.3269i | − | 1.07956i | −0.841805 | − | 0.539781i | \(-0.818507\pi\) | ||
0.841805 | − | 0.539781i | \(-0.181493\pi\) | |||||||
\(954\) | 4.78577 | + | 18.8579i | 0.154945 | + | 0.610547i | ||||
\(955\) | 5.26770 | − | 9.12393i | 0.170459 | − | 0.295243i | ||||
\(956\) | −39.9710 | − | 6.42085i | −1.29275 | − | 0.207665i | ||||
\(957\) | 54.1379 | + | 28.9052i | 1.75003 | + | 0.934372i | ||||
\(958\) | −0.218212 | − | 1.18463i | −0.00705010 | − | 0.0382736i | ||||
\(959\) | 3.96235 | − | 11.2862i | 0.127951 | − | 0.364450i | ||||
\(960\) | 7.36360 | − | 0.582595i | 0.237659 | − | 0.0188032i | ||||
\(961\) | −12.9995 | − | 22.5158i | −0.419339 | − | 0.726316i | ||||
\(962\) | −19.1199 | + | 53.8051i | −0.616451 | + | 1.73475i | ||||
\(963\) | 15.3761 | + | 22.9660i | 0.495487 | + | 0.740070i | ||||
\(964\) | −11.6483 | + | 14.3200i | −0.375167 | + | 0.461217i | ||||
\(965\) | 6.70862i | 0.215958i | ||||||||
\(966\) | −0.0943768 | + | 0.767902i | −0.00303652 | + | 0.0247068i | ||||
\(967\) | 8.68323 | 0.279234 | 0.139617 | − | 0.990206i | \(-0.455413\pi\) | ||||
0.139617 | + | 0.990206i | \(0.455413\pi\) | |||||||
\(968\) | −13.4795 | + | 24.6322i | −0.433248 | + | 0.791710i | ||||
\(969\) | 0.457651 | + | 13.7852i | 0.0147019 | + | 0.442846i | ||||
\(970\) | −5.10636 | − | 1.81458i | −0.163955 | − | 0.0582625i | ||||
\(971\) | −37.7352 | + | 21.7864i | −1.21098 | + | 0.699159i | −0.962973 | − | 0.269599i | \(-0.913109\pi\) |
−0.248007 | + | 0.968758i | \(0.579775\pi\) | |||||||
\(972\) | −31.1762 | + | 0.207481i | −0.999978 | + | 0.00665497i | ||||
\(973\) | 7.25453 | + | 38.5599i | 0.232569 | + | 1.23617i | ||||
\(974\) | 1.25946 | + | 6.83735i | 0.0403557 | + | 0.219083i | ||||
\(975\) | 35.8772 | + | 19.1555i | 1.14899 | + | 0.613466i | ||||
\(976\) | 1.75209 | + | 8.42486i | 0.0560832 | + | 0.269673i | ||||
\(977\) | 16.6770 | + | 9.62846i | 0.533544 | + | 0.308042i | 0.742458 | − | 0.669892i | \(-0.233660\pi\) |
−0.208914 | + | 0.977934i | \(0.566993\pi\) | |||||||
\(978\) | −15.2074 | − | 4.84203i | −0.486278 | − | 0.154831i | ||||
\(979\) | 75.3320 | 2.40762 | ||||||||
\(980\) | 5.01160 | + | 5.53015i | 0.160090 | + | 0.176654i | ||||
\(981\) | 13.1851 | + | 6.48705i | 0.420968 | + | 0.207116i | ||||
\(982\) | −5.46194 | + | 4.65457i | −0.174298 | + | 0.148533i | ||||
\(983\) | −12.6512 | + | 21.9125i | −0.403510 | + | 0.698900i | −0.994147 | − | 0.108037i | \(-0.965543\pi\) |
0.590637 | + | 0.806938i | \(0.298877\pi\) | |||||||
\(984\) | 10.6941 | − | 7.00137i | 0.340915 | − | 0.223195i | ||||
\(985\) | −3.88630 | + | 2.24376i | −0.123828 | + | 0.0714920i | ||||
\(986\) | −8.57774 | − | 46.5668i | −0.273171 | − | 1.48299i | ||||
\(987\) | 18.0676 | + | 19.6784i | 0.575097 | + | 0.626371i | ||||
\(988\) | −17.1412 | + | 6.53670i | −0.545333 | + | 0.207960i | ||||
\(989\) | 0.111751 | + | 0.193559i | 0.00355348 | + | 0.00615481i | ||||
\(990\) | −7.21832 | − | 7.41242i | −0.229413 | − | 0.235582i | ||||
\(991\) | 6.86308 | − | 11.8872i | 0.218013 | − | 0.377609i | −0.736187 | − | 0.676778i | \(-0.763376\pi\) |
0.954200 | + | 0.299168i | \(0.0967092\pi\) | |||||||
\(992\) | 12.5329 | + | 1.72008i | 0.397919 | + | 0.0546126i | ||||
\(993\) | −1.32620 | − | 2.13051i | −0.0420857 | − | 0.0676098i | ||||
\(994\) | −14.5850 | + | 18.0701i | −0.462607 | + | 0.573149i | ||||
\(995\) | 7.63161 | 0.241938 | ||||||||
\(996\) | 1.68355 | − | 13.2810i | 0.0533452 | − | 0.420826i | ||||
\(997\) | −1.12122 | + | 1.94201i | −0.0355094 | + | 0.0615041i | −0.883234 | − | 0.468933i | \(-0.844639\pi\) |
0.847725 | + | 0.530437i | \(0.177972\pi\) | |||||||
\(998\) | 9.66421 | − | 27.1959i | 0.305915 | − | 0.860871i | ||||
\(999\) | −24.5905 | − | 34.2158i | −0.778008 | − | 1.08254i |
(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 | 168.2.ba.c.101.19 | yes | 48 | |
3.2 | odd | 2 | inner | 168.2.ba.c.101.6 | yes | 48 | |
4.3 | odd | 2 | 672.2.bi.c.17.13 | 48 | |||
7.5 | odd | 6 | inner | 168.2.ba.c.5.3 | ✓ | 48 | |
8.3 | odd | 2 | 672.2.bi.c.17.12 | 48 | |||
8.5 | even | 2 | inner | 168.2.ba.c.101.22 | yes | 48 | |
12.11 | even | 2 | 672.2.bi.c.17.4 | 48 | |||
21.5 | even | 6 | inner | 168.2.ba.c.5.22 | yes | 48 | |
24.5 | odd | 2 | inner | 168.2.ba.c.101.3 | yes | 48 | |
24.11 | even | 2 | 672.2.bi.c.17.21 | 48 | |||
28.19 | even | 6 | 672.2.bi.c.593.21 | 48 | |||
56.5 | odd | 6 | inner | 168.2.ba.c.5.6 | yes | 48 | |
56.19 | even | 6 | 672.2.bi.c.593.4 | 48 | |||
84.47 | odd | 6 | 672.2.bi.c.593.12 | 48 | |||
168.5 | even | 6 | inner | 168.2.ba.c.5.19 | yes | 48 | |
168.131 | odd | 6 | 672.2.bi.c.593.13 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.ba.c.5.3 | ✓ | 48 | 7.5 | odd | 6 | inner | |
168.2.ba.c.5.6 | yes | 48 | 56.5 | odd | 6 | inner | |
168.2.ba.c.5.19 | yes | 48 | 168.5 | even | 6 | inner | |
168.2.ba.c.5.22 | yes | 48 | 21.5 | even | 6 | inner | |
168.2.ba.c.101.3 | yes | 48 | 24.5 | odd | 2 | inner | |
168.2.ba.c.101.6 | yes | 48 | 3.2 | odd | 2 | inner | |
168.2.ba.c.101.19 | yes | 48 | 1.1 | even | 1 | trivial | |
168.2.ba.c.101.22 | yes | 48 | 8.5 | even | 2 | inner | |
672.2.bi.c.17.4 | 48 | 12.11 | even | 2 | |||
672.2.bi.c.17.12 | 48 | 8.3 | odd | 2 | |||
672.2.bi.c.17.13 | 48 | 4.3 | odd | 2 | |||
672.2.bi.c.17.21 | 48 | 24.11 | even | 2 | |||
672.2.bi.c.593.4 | 48 | 56.19 | even | 6 | |||
672.2.bi.c.593.12 | 48 | 84.47 | odd | 6 | |||
672.2.bi.c.593.13 | 48 | 168.131 | odd | 6 | |||
672.2.bi.c.593.21 | 48 | 28.19 | even | 6 |