Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 79.8 | ||
Character | \(\chi\) | \(=\) | 81.79 |
Dual form | 81.2.g.a.40.8 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{14}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.155203 | − | 2.66473i | 0.109745 | − | 1.88425i | −0.275313 | − | 0.961355i | \(-0.588781\pi\) |
0.385058 | − | 0.922893i | \(-0.374182\pi\) | |||||||
\(3\) | −1.72840 | + | 0.112415i | −0.997892 | + | 0.0649030i | ||||
\(4\) | −5.09021 | − | 0.594960i | −2.54511 | − | 0.297480i | ||||
\(5\) | 1.76667 | − | 0.418708i | 0.790078 | − | 0.187252i | 0.184284 | − | 0.982873i | \(-0.441004\pi\) |
0.605794 | + | 0.795621i | \(0.292855\pi\) | |||||||
\(6\) | 0.0313040 | + | 4.62316i | 0.0127798 | + | 1.88740i | ||||
\(7\) | −1.54209 | − | 2.07139i | −0.582856 | − | 0.782912i | 0.408689 | − | 0.912674i | \(-0.365986\pi\) |
−0.991545 | + | 0.129762i | \(0.958579\pi\) | |||||||
\(8\) | −1.44840 | + | 8.21430i | −0.512088 | + | 2.90419i | ||||
\(9\) | 2.97473 | − | 0.388597i | 0.991575 | − | 0.129532i | ||||
\(10\) | −0.841551 | − | 4.77267i | −0.266122 | − | 1.50925i | ||||
\(11\) | 2.51185 | − | 2.66241i | 0.757351 | − | 0.802746i | −0.227931 | − | 0.973677i | \(-0.573196\pi\) |
0.985283 | + | 0.170932i | \(0.0546777\pi\) | |||||||
\(12\) | 8.86480 | + | 0.456111i | 2.55905 | + | 0.131668i | ||||
\(13\) | 0.338219 | + | 0.169860i | 0.0938050 | + | 0.0471107i | 0.495083 | − | 0.868846i | \(-0.335138\pi\) |
−0.401278 | + | 0.915956i | \(0.631434\pi\) | |||||||
\(14\) | −5.75903 | + | 3.78777i | −1.53917 | + | 1.01232i | ||||
\(15\) | −3.00644 | + | 0.922295i | −0.776259 | + | 0.238136i | ||||
\(16\) | 11.6906 | + | 2.77073i | 2.92266 | + | 0.692683i | ||||
\(17\) | 2.13907 | + | 0.778557i | 0.518800 | + | 0.188828i | 0.588131 | − | 0.808766i | \(-0.299864\pi\) |
−0.0693304 | + | 0.997594i | \(0.522086\pi\) | |||||||
\(18\) | −0.573820 | − | 7.98715i | −0.135251 | − | 1.88259i | ||||
\(19\) | −1.32149 | + | 0.480985i | −0.303172 | + | 0.110345i | −0.489127 | − | 0.872213i | \(-0.662684\pi\) |
0.185955 | + | 0.982558i | \(0.440462\pi\) | |||||||
\(20\) | −9.24183 | + | 1.08021i | −2.06654 | + | 0.241543i | ||||
\(21\) | 2.89821 | + | 3.40683i | 0.632441 | + | 0.743432i | ||||
\(22\) | −6.70474 | − | 7.10661i | −1.42946 | − | 1.51513i | ||||
\(23\) | 2.11397 | − | 2.83955i | 0.440793 | − | 0.592088i | −0.525096 | − | 0.851043i | \(-0.675971\pi\) |
0.965889 | + | 0.258955i | \(0.0833781\pi\) | |||||||
\(24\) | 1.58001 | − | 14.3604i | 0.322517 | − | 2.93131i | ||||
\(25\) | −1.52236 | + | 0.764560i | −0.304473 | + | 0.152912i | ||||
\(26\) | 0.505123 | − | 0.874898i | 0.0990627 | − | 0.171582i | ||||
\(27\) | −5.09783 | + | 1.00606i | −0.981078 | + | 0.193615i | ||||
\(28\) | 6.61718 | + | 11.4613i | 1.25053 | + | 2.16598i | ||||
\(29\) | 5.52098 | + | 3.63121i | 1.02522 | + | 0.674298i | 0.946535 | − | 0.322601i | \(-0.104557\pi\) |
0.0786857 | + | 0.996899i | \(0.474928\pi\) | |||||||
\(30\) | 1.99106 | + | 8.15448i | 0.363516 | + | 1.48880i | ||||
\(31\) | 3.87125 | + | 8.97457i | 0.695298 | + | 1.61188i | 0.787627 | + | 0.616153i | \(0.211310\pi\) |
−0.0923291 | + | 0.995729i | \(0.529431\pi\) | |||||||
\(32\) | 4.41321 | − | 14.7411i | 0.780152 | − | 2.60589i | ||||
\(33\) | −4.04218 | + | 4.88407i | −0.703654 | + | 0.850208i | ||||
\(34\) | 2.40663 | − | 5.57920i | 0.412734 | − | 0.956825i | ||||
\(35\) | −3.59167 | − | 3.01377i | −0.607104 | − | 0.509421i | ||||
\(36\) | −15.3732 | + | 0.208197i | −2.56220 | + | 0.0346995i | ||||
\(37\) | −0.463728 | + | 0.389114i | −0.0762364 | + | 0.0639699i | −0.680110 | − | 0.733111i | \(-0.738068\pi\) |
0.603873 | + | 0.797080i | \(0.293623\pi\) | |||||||
\(38\) | 1.07659 | + | 3.59607i | 0.174647 | + | 0.583360i | ||||
\(39\) | −0.603672 | − | 0.255565i | −0.0966649 | − | 0.0409231i | ||||
\(40\) | 0.880547 | + | 15.1184i | 0.139227 | + | 2.39043i | ||||
\(41\) | 0.194779 | + | 3.34423i | 0.0304194 | + | 0.522282i | 0.978758 | + | 0.205021i | \(0.0657261\pi\) |
−0.948338 | + | 0.317261i | \(0.897237\pi\) | |||||||
\(42\) | 9.52810 | − | 7.19419i | 1.47022 | − | 1.11009i | ||||
\(43\) | −0.765225 | − | 2.55603i | −0.116696 | − | 0.389791i | 0.879607 | − | 0.475701i | \(-0.157805\pi\) |
−0.996303 | + | 0.0859098i | \(0.972620\pi\) | |||||||
\(44\) | −14.3699 | + | 12.0578i | −2.16634 | + | 1.81778i | ||||
\(45\) | 5.09264 | − | 1.93206i | 0.759167 | − | 0.288015i | ||||
\(46\) | −7.23854 | − | 6.07386i | −1.06726 | − | 0.895542i | ||||
\(47\) | 0.0597051 | − | 0.138412i | 0.00870888 | − | 0.0201895i | −0.913806 | − | 0.406151i | \(-0.866871\pi\) |
0.922515 | + | 0.385961i | \(0.126130\pi\) | |||||||
\(48\) | −20.5176 | − | 3.47473i | −2.96146 | − | 0.501533i | ||||
\(49\) | 0.0950155 | − | 0.317374i | 0.0135736 | − | 0.0453391i | ||||
\(50\) | 1.80107 | + | 4.17535i | 0.254710 | + | 0.590483i | ||||
\(51\) | −3.78469 | − | 1.10519i | −0.529962 | − | 0.154758i | ||||
\(52\) | −1.62055 | − | 1.06585i | −0.224729 | − | 0.147807i | ||||
\(53\) | −6.72572 | − | 11.6493i | −0.923849 | − | 1.60015i | −0.793401 | − | 0.608699i | \(-0.791692\pi\) |
−0.130448 | − | 0.991455i | \(-0.541642\pi\) | |||||||
\(54\) | 1.88967 | + | 13.7405i | 0.257151 | + | 1.86984i | ||||
\(55\) | 3.32284 | − | 5.75532i | 0.448051 | − | 0.776047i | ||||
\(56\) | 19.2486 | − | 9.66701i | 2.57220 | − | 1.29181i | ||||
\(57\) | 2.23000 | − | 0.979890i | 0.295371 | − | 0.129790i | ||||
\(58\) | 10.5331 | − | 14.1483i | 1.38306 | − | 1.85777i | ||||
\(59\) | 2.91546 | + | 3.09020i | 0.379560 | + | 0.402310i | 0.888786 | − | 0.458323i | \(-0.151550\pi\) |
−0.509226 | + | 0.860633i | \(0.670068\pi\) | |||||||
\(60\) | 15.8521 | − | 2.90596i | 2.04650 | − | 0.375158i | ||||
\(61\) | −7.39981 | + | 0.864914i | −0.947449 | + | 0.110741i | −0.575762 | − | 0.817617i | \(-0.695295\pi\) |
−0.371687 | + | 0.928358i | \(0.621220\pi\) | |||||||
\(62\) | 24.5156 | − | 8.92296i | 3.11349 | − | 1.13322i | ||||
\(63\) | −5.39224 | − | 5.56257i | −0.679358 | − | 0.700817i | ||||
\(64\) | −16.0163 | − | 5.82946i | −2.00204 | − | 0.728682i | ||||
\(65\) | 0.668642 | + | 0.158471i | 0.0829349 | + | 0.0196559i | ||||
\(66\) | 12.3874 | + | 11.5293i | 1.52478 | + | 1.41916i | ||||
\(67\) | −8.43131 | + | 5.54536i | −1.03005 | + | 0.677474i | −0.947711 | − | 0.319131i | \(-0.896609\pi\) |
−0.0823378 | + | 0.996604i | \(0.526239\pi\) | |||||||
\(68\) | −10.4251 | − | 5.23568i | −1.26423 | − | 0.634920i | ||||
\(69\) | −3.33457 | + | 5.14552i | −0.401435 | + | 0.619448i | ||||
\(70\) | −8.58832 | + | 9.10309i | −1.02650 | + | 1.08803i | ||||
\(71\) | −0.305263 | − | 1.73123i | −0.0362281 | − | 0.205460i | 0.961321 | − | 0.275431i | \(-0.0888204\pi\) |
−0.997549 | + | 0.0699711i | \(0.977709\pi\) | |||||||
\(72\) | −1.11655 | + | 24.9981i | −0.131587 | + | 2.94606i | ||||
\(73\) | 0.930968 | − | 5.27978i | 0.108962 | − | 0.617951i | −0.880602 | − | 0.473856i | \(-0.842862\pi\) |
0.989564 | − | 0.144095i | \(-0.0460272\pi\) | |||||||
\(74\) | 0.964911 | + | 1.29610i | 0.112169 | + | 0.150669i | ||||
\(75\) | 2.54530 | − | 1.49260i | 0.293906 | − | 0.172351i | ||||
\(76\) | 7.01285 | − | 1.66208i | 0.804429 | − | 0.190653i | ||||
\(77\) | −9.38839 | − | 1.09735i | −1.06991 | − | 0.125054i | ||||
\(78\) | −0.774702 | + | 1.56896i | −0.0877177 | + | 0.177649i | ||||
\(79\) | −0.247092 | + | 4.24240i | −0.0278000 | + | 0.477307i | 0.955462 | + | 0.295113i | \(0.0953572\pi\) |
−0.983262 | + | 0.182195i | \(0.941680\pi\) | |||||||
\(80\) | 21.8136 | 2.43884 | ||||||||
\(81\) | 8.69798 | − | 2.31194i | 0.966443 | − | 0.256882i | ||||
\(82\) | 8.94171 | 0.987446 | ||||||||
\(83\) | −0.151445 | + | 2.60022i | −0.0166233 | + | 0.285411i | 0.979744 | + | 0.200253i | \(0.0641764\pi\) |
−0.996367 | + | 0.0851577i | \(0.972861\pi\) | |||||||
\(84\) | −12.7256 | − | 19.0658i | −1.38847 | − | 2.08025i | ||||
\(85\) | 4.10501 | + | 0.479807i | 0.445251 | + | 0.0520424i | ||||
\(86\) | −6.92989 | + | 1.64241i | −0.747269 | + | 0.177106i | ||||
\(87\) | −9.95066 | − | 5.65553i | −1.06682 | − | 0.606337i | ||||
\(88\) | 18.2316 | + | 24.4893i | 1.94350 | + | 2.61057i | ||||
\(89\) | −0.553979 | + | 3.14177i | −0.0587216 | + | 0.333027i | −0.999989 | − | 0.00463450i | \(-0.998525\pi\) |
0.941268 | + | 0.337661i | \(0.109636\pi\) | |||||||
\(90\) | −4.35803 | − | 13.8704i | −0.459377 | − | 1.46207i | ||||
\(91\) | −0.169719 | − | 0.962523i | −0.0177914 | − | 0.100900i | ||||
\(92\) | −12.4500 | + | 13.1962i | −1.29800 | + | 1.37580i | ||||
\(93\) | −7.69995 | − | 15.0765i | −0.798448 | − | 1.56336i | ||||
\(94\) | −0.359564 | − | 0.180580i | −0.0370862 | − | 0.0186254i | ||||
\(95\) | −2.13325 | + | 1.40306i | −0.218867 | + | 0.143951i | ||||
\(96\) | −5.97065 | + | 25.9747i | −0.609377 | + | 2.65103i | ||||
\(97\) | 14.9574 | + | 3.54497i | 1.51869 | + | 0.359937i | 0.903552 | − | 0.428479i | \(-0.140951\pi\) |
0.615142 | + | 0.788416i | \(0.289099\pi\) | |||||||
\(98\) | −0.830968 | − | 0.302448i | −0.0839405 | − | 0.0305518i | ||||
\(99\) | 6.43746 | − | 8.89603i | 0.646989 | − | 0.894084i | ||||
\(100\) | 8.20403 | − | 2.98602i | 0.820403 | − | 0.298602i | ||||
\(101\) | 12.9566 | − | 1.51441i | 1.28923 | − | 0.150690i | 0.556294 | − | 0.830986i | \(-0.312223\pi\) |
0.732937 | + | 0.680296i | \(0.238149\pi\) | |||||||
\(102\) | −3.53243 | + | 9.91363i | −0.349763 | + | 0.981595i | ||||
\(103\) | 9.41575 | + | 9.98011i | 0.927761 | + | 0.983370i | 0.999902 | − | 0.0140248i | \(-0.00446438\pi\) |
−0.0721402 | + | 0.997395i | \(0.522983\pi\) | |||||||
\(104\) | −1.88516 | + | 2.53221i | −0.184855 | + | 0.248303i | ||||
\(105\) | 6.54664 | + | 4.80524i | 0.638887 | + | 0.468944i | ||||
\(106\) | −32.0861 | + | 16.1142i | −3.11647 | + | 1.56515i | ||||
\(107\) | −1.15268 | + | 1.99650i | −0.111434 | + | 0.193009i | −0.916349 | − | 0.400381i | \(-0.868878\pi\) |
0.804915 | + | 0.593390i | \(0.202211\pi\) | |||||||
\(108\) | 26.5476 | − | 2.08803i | 2.55454 | − | 0.200921i | ||||
\(109\) | −4.62468 | − | 8.01018i | −0.442964 | − | 0.767236i | 0.554944 | − | 0.831888i | \(-0.312740\pi\) |
−0.997908 | + | 0.0646518i | \(0.979406\pi\) | |||||||
\(110\) | −14.8206 | − | 9.74769i | −1.41309 | − | 0.929406i | ||||
\(111\) | 0.757765 | − | 0.724674i | 0.0719238 | − | 0.0687830i | ||||
\(112\) | −12.2888 | − | 28.4886i | −1.16118 | − | 2.69192i | ||||
\(113\) | −2.72429 | + | 9.09977i | −0.256280 | + | 0.856034i | 0.728916 | + | 0.684603i | \(0.240024\pi\) |
−0.985196 | + | 0.171431i | \(0.945161\pi\) | |||||||
\(114\) | −2.26504 | − | 6.09443i | −0.212140 | − | 0.570795i | ||||
\(115\) | 2.54574 | − | 5.90168i | 0.237391 | − | 0.550335i | ||||
\(116\) | −25.9425 | − | 21.7684i | −2.40870 | − | 2.02114i | ||||
\(117\) | 1.07212 | + | 0.373856i | 0.0991171 | + | 0.0345630i | ||||
\(118\) | 8.68704 | − | 7.28929i | 0.799706 | − | 0.671033i | ||||
\(119\) | −1.68595 | − | 5.63145i | −0.154550 | − | 0.516235i | ||||
\(120\) | −3.22148 | − | 26.0316i | −0.294079 | − | 2.37635i | ||||
\(121\) | −0.139420 | − | 2.39374i | −0.0126745 | − | 0.217613i | ||||
\(122\) | 1.15629 | + | 19.8527i | 0.104686 | + | 1.79738i | ||||
\(123\) | −0.712600 | − | 5.75828i | −0.0642530 | − | 0.519206i | ||||
\(124\) | −14.3660 | − | 47.9857i | −1.29010 | − | 4.30924i | ||||
\(125\) | −9.32357 | + | 7.82340i | −0.833925 | + | 0.699746i | ||||
\(126\) | −15.6596 | + | 13.5055i | −1.39507 | + | 1.20317i | ||||
\(127\) | 9.69030 | + | 8.13112i | 0.859875 | + | 0.721521i | 0.961941 | − | 0.273257i | \(-0.0881009\pi\) |
−0.102066 | + | 0.994778i | \(0.532545\pi\) | |||||||
\(128\) | −5.83028 | + | 13.5161i | −0.515329 | + | 1.19467i | ||||
\(129\) | 1.60995 | + | 4.33182i | 0.141748 | + | 0.381395i | ||||
\(130\) | 0.526057 | − | 1.75715i | 0.0461383 | − | 0.154113i | ||||
\(131\) | −5.89321 | − | 13.6620i | −0.514892 | − | 1.19365i | −0.955242 | − | 0.295827i | \(-0.904405\pi\) |
0.440350 | − | 0.897826i | \(-0.354854\pi\) | |||||||
\(132\) | 23.4814 | − | 22.4560i | 2.04379 | − | 1.95454i | ||||
\(133\) | 3.03417 | + | 1.99561i | 0.263096 | + | 0.173041i | ||||
\(134\) | 13.4683 | + | 23.3278i | 1.16349 | + | 2.01522i | ||||
\(135\) | −8.58493 | + | 3.91187i | −0.738873 | + | 0.336680i | ||||
\(136\) | −9.49354 | + | 16.4433i | −0.814064 | + | 1.41000i | ||||
\(137\) | −14.5193 | + | 7.29189i | −1.24047 | + | 0.622988i | −0.943333 | − | 0.331847i | \(-0.892328\pi\) |
−0.297138 | + | 0.954835i | \(0.596032\pi\) | |||||||
\(138\) | 13.1939 | + | 9.68433i | 1.12314 | + | 0.824385i | ||||
\(139\) | −9.85759 | + | 13.2410i | −0.836110 | + | 1.12309i | 0.154718 | + | 0.987959i | \(0.450553\pi\) |
−0.990828 | + | 0.135132i | \(0.956854\pi\) | |||||||
\(140\) | 16.4893 | + | 17.4776i | 1.39360 | + | 1.47713i | ||||
\(141\) | −0.0876346 | + | 0.245943i | −0.00738016 | + | 0.0207121i | ||||
\(142\) | −4.66064 | + | 0.544751i | −0.391112 | + | 0.0457145i | ||||
\(143\) | 1.30179 | − | 0.473813i | 0.108861 | − | 0.0396223i | ||||
\(144\) | 35.8532 | + | 3.69922i | 2.98776 | + | 0.308269i | ||||
\(145\) | 11.2742 | + | 4.10346i | 0.936268 | + | 0.340774i | ||||
\(146\) | −13.9247 | − | 3.30021i | −1.15242 | − | 0.273127i | ||||
\(147\) | −0.128547 | + | 0.559230i | −0.0106024 | + | 0.0461245i | ||||
\(148\) | 2.59198 | − | 1.70477i | 0.213059 | − | 0.140131i | ||||
\(149\) | −3.04503 | − | 1.52927i | −0.249458 | − | 0.125283i | 0.319677 | − | 0.947527i | \(-0.396426\pi\) |
−0.569135 | + | 0.822244i | \(0.692722\pi\) | |||||||
\(150\) | −3.58234 | − | 7.01420i | −0.292497 | − | 0.572707i | ||||
\(151\) | 5.92981 | − | 6.28524i | 0.482561 | − | 0.511485i | −0.439651 | − | 0.898169i | \(-0.644898\pi\) |
0.922213 | + | 0.386683i | \(0.126379\pi\) | |||||||
\(152\) | −2.03690 | − | 11.5518i | −0.165214 | − | 0.936976i | ||||
\(153\) | 6.66569 | + | 1.48476i | 0.538889 | + | 0.120036i | ||||
\(154\) | −4.38123 | + | 24.8472i | −0.353050 | + | 2.00224i | ||||
\(155\) | 10.5969 | + | 14.2342i | 0.851167 | + | 1.14332i | ||||
\(156\) | 2.92077 | + | 1.66004i | 0.233848 | + | 0.132909i | ||||
\(157\) | 3.77987 | − | 0.895846i | 0.301667 | − | 0.0714963i | −0.0769950 | − | 0.997031i | \(-0.524533\pi\) |
0.378662 | + | 0.925535i | \(0.376384\pi\) | |||||||
\(158\) | 11.2665 | + | 1.31686i | 0.896314 | + | 0.104764i | ||||
\(159\) | 12.9343 | + | 19.3786i | 1.02576 | + | 1.53682i | ||||
\(160\) | 1.62444 | − | 27.8905i | 0.128423 | − | 2.20494i | ||||
\(161\) | −9.14176 | −0.720472 | ||||||||
\(162\) | −4.81074 | − | 23.5366i | −0.377967 | − | 1.84921i | ||||
\(163\) | −23.8379 | −1.86713 | −0.933564 | − | 0.358412i | \(-0.883318\pi\) | ||||
−0.933564 | + | 0.358412i | \(0.883318\pi\) | |||||||
\(164\) | 0.998218 | − | 17.1387i | 0.0779477 | − | 1.33831i | ||||
\(165\) | −5.09620 | + | 10.3210i | −0.396739 | + | 0.803491i | ||||
\(166\) | 6.90536 | + | 0.807121i | 0.535960 | + | 0.0626447i | ||||
\(167\) | 12.4436 | − | 2.94918i | 0.962912 | − | 0.228214i | 0.281049 | − | 0.959694i | \(-0.409318\pi\) |
0.681864 | + | 0.731479i | \(0.261170\pi\) | |||||||
\(168\) | −32.1825 | + | 18.8723i | −2.48294 | + | 1.45603i | ||||
\(169\) | −7.67752 | − | 10.3127i | −0.590579 | − | 0.793285i | ||||
\(170\) | 1.91566 | − | 10.8643i | 0.146925 | − | 0.833252i | ||||
\(171\) | −3.74418 | + | 1.94433i | −0.286324 | + | 0.148686i | ||||
\(172\) | 2.37442 | + | 13.4660i | 0.181048 | + | 1.02677i | ||||
\(173\) | 3.49885 | − | 3.70856i | 0.266013 | − | 0.281957i | −0.580574 | − | 0.814207i | \(-0.697172\pi\) |
0.846587 | + | 0.532250i | \(0.178653\pi\) | |||||||
\(174\) | −16.6148 | + | 25.6381i | −1.25957 | + | 1.94362i | ||||
\(175\) | 3.93133 | + | 1.97439i | 0.297180 | + | 0.149250i | ||||
\(176\) | 36.7420 | − | 24.1656i | 2.76953 | − | 1.82155i | ||||
\(177\) | −5.38646 | − | 5.01336i | −0.404871 | − | 0.376827i | ||||
\(178\) | 8.28598 | + | 1.96381i | 0.621061 | + | 0.147194i | ||||
\(179\) | 1.10838 | + | 0.403418i | 0.0828444 | + | 0.0301529i | 0.383110 | − | 0.923703i | \(-0.374853\pi\) |
−0.300266 | + | 0.953856i | \(0.597075\pi\) | |||||||
\(180\) | −27.0721 | + | 6.80469i | −2.01784 | + | 0.507192i | ||||
\(181\) | −10.7631 | + | 3.91744i | −0.800013 | + | 0.291181i | −0.709492 | − | 0.704714i | \(-0.751075\pi\) |
−0.0905211 | + | 0.995895i | \(0.528853\pi\) | |||||||
\(182\) | −2.59120 | + | 0.302868i | −0.192073 | + | 0.0224501i | ||||
\(183\) | 12.6926 | − | 2.32677i | 0.938264 | − | 0.172000i | ||||
\(184\) | 20.2631 | + | 21.4776i | 1.49381 | + | 1.58335i | ||||
\(185\) | −0.656328 | + | 0.881602i | −0.0482542 | + | 0.0648167i | ||||
\(186\) | −41.3697 | + | 18.1784i | −3.03337 | + | 1.33290i | ||||
\(187\) | 7.44586 | − | 3.73945i | 0.544495 | − | 0.273456i | ||||
\(188\) | −0.386261 | + | 0.669024i | −0.0281710 | + | 0.0487936i | ||||
\(189\) | 9.94526 | + | 9.00816i | 0.723411 | + | 0.655247i | ||||
\(190\) | 3.40769 | + | 5.90229i | 0.247220 | + | 0.428197i | ||||
\(191\) | 12.8526 | + | 8.45332i | 0.929985 | + | 0.611661i | 0.921531 | − | 0.388304i | \(-0.126939\pi\) |
0.00845319 | + | 0.999964i | \(0.497309\pi\) | |||||||
\(192\) | 28.3379 | + | 8.27515i | 2.04511 | + | 0.597208i | ||||
\(193\) | −6.91049 | − | 16.0203i | −0.497428 | − | 1.15317i | −0.963327 | − | 0.268330i | \(-0.913528\pi\) |
0.465899 | − | 0.884838i | \(-0.345731\pi\) | |||||||
\(194\) | 11.7678 | − | 39.3072i | 0.844879 | − | 2.82209i | ||||
\(195\) | −1.17349 | − | 0.198736i | −0.0840357 | − | 0.0142318i | ||||
\(196\) | −0.672474 | + | 1.55897i | −0.0480338 | + | 0.111355i | ||||
\(197\) | 7.01270 | + | 5.88435i | 0.499634 | + | 0.419243i | 0.857464 | − | 0.514544i | \(-0.172039\pi\) |
−0.357830 | + | 0.933787i | \(0.616483\pi\) | |||||||
\(198\) | −22.7064 | − | 18.5348i | −1.61367 | − | 1.31721i | ||||
\(199\) | −17.7580 | + | 14.9007i | −1.25883 | + | 1.05629i | −0.263026 | + | 0.964789i | \(0.584721\pi\) |
−0.995805 | + | 0.0914967i | \(0.970835\pi\) | |||||||
\(200\) | −4.07533 | − | 13.6125i | −0.288169 | − | 0.962552i | ||||
\(201\) | 13.9493 | − | 10.5324i | 0.983907 | − | 0.742898i | ||||
\(202\) | −2.02459 | − | 34.7609i | −0.142450 | − | 2.44577i | ||||
\(203\) | −0.992220 | − | 17.0358i | −0.0696402 | − | 1.19568i | ||||
\(204\) | 18.6073 | + | 7.87741i | 1.30277 | + | 0.551529i | ||||
\(205\) | 1.74437 | + | 5.82660i | 0.121832 | + | 0.406947i | ||||
\(206\) | 28.0556 | − | 23.5415i | 1.95473 | − | 1.64021i | ||||
\(207\) | 5.18504 | − | 9.26837i | 0.360385 | − | 0.644196i | ||||
\(208\) | 3.48336 | + | 2.92289i | 0.241527 | + | 0.202666i | ||||
\(209\) | −2.03882 | + | 4.72652i | −0.141028 | + | 0.326940i | ||||
\(210\) | 13.8207 | − | 16.6992i | 0.953720 | − | 1.15236i | ||||
\(211\) | 7.40749 | − | 24.7427i | 0.509953 | − | 1.70336i | −0.183640 | − | 0.982994i | \(-0.558788\pi\) |
0.693593 | − | 0.720367i | \(-0.256027\pi\) | |||||||
\(212\) | 27.3045 | + | 63.2989i | 1.87528 | + | 4.34739i | ||||
\(213\) | 0.722233 | + | 2.95794i | 0.0494866 | + | 0.202675i | ||||
\(214\) | 5.14123 | + | 3.38144i | 0.351447 | + | 0.231150i | ||||
\(215\) | −2.42213 | − | 4.19525i | −0.165188 | − | 0.286114i | ||||
\(216\) | −0.880332 | − | 43.3323i | −0.0598990 | − | 2.94839i | ||||
\(217\) | 12.6200 | − | 21.8585i | 0.856702 | − | 1.48385i | ||||
\(218\) | −22.0627 | + | 11.0803i | −1.49428 | + | 0.750453i | ||||
\(219\) | −1.01556 | + | 9.23022i | −0.0686249 | + | 0.623720i | ||||
\(220\) | −20.3381 | + | 27.3188i | −1.37120 | + | 1.84184i | ||||
\(221\) | 0.591228 | + | 0.626665i | 0.0397703 | + | 0.0421540i | ||||
\(222\) | −1.81345 | − | 2.13171i | −0.121711 | − | 0.143071i | ||||
\(223\) | −4.05151 | + | 0.473554i | −0.271309 | + | 0.0317115i | −0.250660 | − | 0.968075i | \(-0.580647\pi\) |
−0.0206496 | + | 0.999787i | \(0.506573\pi\) | |||||||
\(224\) | −37.3402 | + | 13.5907i | −2.49490 | + | 0.908069i | ||||
\(225\) | −4.23151 | + | 2.86594i | −0.282100 | + | 0.191063i | ||||
\(226\) | 23.8256 | + | 8.67180i | 1.58485 | + | 0.576840i | ||||
\(227\) | −20.7134 | − | 4.90916i | −1.37479 | − | 0.325832i | −0.524173 | − | 0.851612i | \(-0.675625\pi\) |
−0.850621 | + | 0.525780i | \(0.823774\pi\) | |||||||
\(228\) | −11.9342 | + | 3.66108i | −0.790359 | + | 0.242461i | ||||
\(229\) | −10.1269 | + | 6.66057i | −0.669204 | + | 0.440143i | −0.838119 | − | 0.545488i | \(-0.816344\pi\) |
0.168914 | + | 0.985631i | \(0.445974\pi\) | |||||||
\(230\) | −15.3313 | − | 7.69966i | −1.01091 | − | 0.507700i | ||||
\(231\) | 16.3502 | + | 0.841252i | 1.07577 | + | 0.0553503i | ||||
\(232\) | −37.8244 | + | 40.0916i | −2.48330 | + | 2.63214i | ||||
\(233\) | 4.18661 | + | 23.7435i | 0.274274 | + | 1.55549i | 0.741258 | + | 0.671220i | \(0.234229\pi\) |
−0.466984 | + | 0.884266i | \(0.654659\pi\) | |||||||
\(234\) | 1.16262 | − | 2.79887i | 0.0760028 | − | 0.182968i | ||||
\(235\) | 0.0475249 | − | 0.269527i | 0.00310018 | − | 0.0175820i | ||||
\(236\) | −13.0017 | − | 17.4644i | −0.846341 | − | 1.13683i | ||||
\(237\) | −0.0498377 | − | 7.36034i | −0.00323731 | − | 0.478105i | ||||
\(238\) | −15.2680 | + | 3.61857i | −0.989675 | + | 0.234557i | ||||
\(239\) | 23.5780 | + | 2.75588i | 1.52514 | + | 0.178263i | 0.836953 | − | 0.547274i | \(-0.184335\pi\) |
0.688183 | + | 0.725537i | \(0.258409\pi\) | |||||||
\(240\) | −37.7026 | + | 2.45218i | −2.43369 | + | 0.158288i | ||||
\(241\) | 0.736982 | − | 12.6535i | 0.0474732 | − | 0.815084i | −0.887597 | − | 0.460621i | \(-0.847627\pi\) |
0.935070 | − | 0.354463i | \(-0.115336\pi\) | |||||||
\(242\) | −6.40031 | −0.411428 | ||||||||
\(243\) | −14.7737 | + | 4.97374i | −0.947733 | + | 0.319066i | ||||
\(244\) | 38.1812 | 2.44430 | ||||||||
\(245\) | 0.0349739 | − | 0.600478i | 0.00223440 | − | 0.0383631i | ||||
\(246\) | −15.4548 | + | 1.00518i | −0.985364 | + | 0.0640882i | ||||
\(247\) | −0.528654 | − | 0.0617908i | −0.0336375 | − | 0.00393166i | ||||
\(248\) | −79.3270 | + | 18.8008i | −5.03727 | + | 1.19385i | ||||
\(249\) | −0.0305461 | − | 4.51123i | −0.00193578 | − | 0.285888i | ||||
\(250\) | 19.4002 | + | 26.0590i | 1.22698 | + | 1.64811i | ||||
\(251\) | 2.35563 | − | 13.3595i | 0.148686 | − | 0.843242i | −0.815647 | − | 0.578550i | \(-0.803619\pi\) |
0.964333 | − | 0.264692i | \(-0.0852702\pi\) | |||||||
\(252\) | 24.1381 | + | 31.5228i | 1.52056 | + | 1.98575i | ||||
\(253\) | −2.25007 | − | 12.7608i | −0.141461 | − | 0.802263i | ||||
\(254\) | 23.1712 | − | 24.5600i | 1.45389 | − | 1.54103i | ||||
\(255\) | −7.14904 | − | 0.367832i | −0.447690 | − | 0.0230345i | ||||
\(256\) | 4.64940 | + | 2.33502i | 0.290587 | + | 0.145938i | ||||
\(257\) | −2.33857 | + | 1.53810i | −0.145876 | + | 0.0959442i | −0.620349 | − | 0.784326i | \(-0.713009\pi\) |
0.474473 | + | 0.880270i | \(0.342639\pi\) | |||||||
\(258\) | 11.7930 | − | 3.61777i | 0.734199 | − | 0.225233i | ||||
\(259\) | 1.52112 | + | 0.360512i | 0.0945177 | + | 0.0224011i | ||||
\(260\) | −3.30925 | − | 1.20447i | −0.205231 | − | 0.0746979i | ||||
\(261\) | 17.8345 | + | 8.65641i | 1.10393 | + | 0.535818i | ||||
\(262\) | −37.3201 | + | 13.5834i | −2.30564 | + | 0.839186i | ||||
\(263\) | 1.47542 | − | 0.172452i | 0.0909781 | − | 0.0106338i | −0.0704820 | − | 0.997513i | \(-0.522454\pi\) |
0.161460 | + | 0.986879i | \(0.448380\pi\) | |||||||
\(264\) | −34.2645 | − | 40.2778i | −2.10884 | − | 2.47893i | ||||
\(265\) | −16.7598 | − | 17.7643i | −1.02954 | − | 1.09125i | ||||
\(266\) | 5.78867 | − | 7.77553i | 0.354926 | − | 0.476748i | ||||
\(267\) | 0.604313 | − | 5.49251i | 0.0369834 | − | 0.336136i | ||||
\(268\) | 46.2164 | − | 23.2108i | 2.82312 | − | 1.41782i | ||||
\(269\) | −4.56187 | + | 7.90140i | −0.278142 | + | 0.481757i | −0.970923 | − | 0.239392i | \(-0.923052\pi\) |
0.692781 | + | 0.721148i | \(0.256385\pi\) | |||||||
\(270\) | 9.09166 | + | 23.4836i | 0.553301 | + | 1.42917i | ||||
\(271\) | −2.94843 | − | 5.10683i | −0.179105 | − | 0.310218i | 0.762470 | − | 0.647024i | \(-0.223987\pi\) |
−0.941574 | + | 0.336806i | \(0.890653\pi\) | |||||||
\(272\) | 22.8499 | + | 15.0286i | 1.38548 | + | 0.911244i | ||||
\(273\) | 0.401544 | + | 1.64454i | 0.0243026 | + | 0.0995324i | ||||
\(274\) | 17.1775 | + | 39.8218i | 1.03773 | + | 2.40572i | ||||
\(275\) | −1.78838 | + | 5.97361i | −0.107843 | + | 0.360222i | ||||
\(276\) | 20.0351 | − | 24.2079i | 1.20597 | − | 1.45714i | ||||
\(277\) | −1.96051 | + | 4.54498i | −0.117796 | + | 0.273081i | −0.966905 | − | 0.255136i | \(-0.917880\pi\) |
0.849110 | + | 0.528217i | \(0.177139\pi\) | |||||||
\(278\) | 33.7538 | + | 28.3228i | 2.02442 | + | 1.69869i | ||||
\(279\) | 15.0034 | + | 25.1925i | 0.898231 | + | 1.50824i | ||||
\(280\) | 29.9582 | − | 25.1379i | 1.79035 | − | 1.50228i | ||||
\(281\) | −3.90301 | − | 13.0370i | −0.232834 | − | 0.777719i | −0.991935 | − | 0.126747i | \(-0.959546\pi\) |
0.759101 | − | 0.650973i | \(-0.225639\pi\) | |||||||
\(282\) | 0.641769 | + | 0.271693i | 0.0382168 | + | 0.0161791i | ||||
\(283\) | 0.687609 | + | 11.8058i | 0.0408741 | + | 0.701781i | 0.955047 | + | 0.296456i | \(0.0958047\pi\) |
−0.914173 | + | 0.405325i | \(0.867158\pi\) | |||||||
\(284\) | 0.523838 | + | 8.99396i | 0.0310841 | + | 0.533693i | ||||
\(285\) | 3.52938 | − | 2.66486i | 0.209063 | − | 0.157853i | ||||
\(286\) | −1.06054 | − | 3.54246i | −0.0627112 | − | 0.209470i | ||||
\(287\) | 6.62685 | − | 5.56058i | 0.391170 | − | 0.328231i | ||||
\(288\) | 7.39972 | − | 45.5658i | 0.436032 | − | 2.68499i | ||||
\(289\) | −9.05329 | − | 7.59661i | −0.532547 | − | 0.446860i | ||||
\(290\) | 12.6844 | − | 29.4057i | 0.744852 | − | 1.72676i | ||||
\(291\) | −26.2509 | − | 4.44568i | −1.53885 | − | 0.260610i | ||||
\(292\) | −7.88008 | + | 26.3213i | −0.461147 | + | 1.54034i | ||||
\(293\) | −6.44781 | − | 14.9477i | −0.376685 | − | 0.873254i | −0.996103 | − | 0.0881929i | \(-0.971891\pi\) |
0.619418 | − | 0.785061i | \(-0.287368\pi\) | |||||||
\(294\) | 1.47024 | + | 0.429337i | 0.0857464 | + | 0.0250394i | ||||
\(295\) | 6.44454 | + | 4.23864i | 0.375215 | + | 0.246783i | ||||
\(296\) | −2.52464 | − | 4.37280i | −0.146741 | − | 0.254164i | ||||
\(297\) | −10.1265 | + | 16.0995i | −0.587597 | + | 0.934191i | ||||
\(298\) | −4.54769 | + | 7.87683i | −0.263440 | + | 0.456292i | ||||
\(299\) | 1.19731 | − | 0.601312i | 0.0692422 | − | 0.0347748i | ||||
\(300\) | −13.8442 | + | 6.08330i | −0.799293 | + | 0.351219i | ||||
\(301\) | −4.11449 | + | 5.52672i | −0.237155 | + | 0.318555i | ||||
\(302\) | −15.8281 | − | 16.7768i | −0.910806 | − | 0.965398i | ||||
\(303\) | −22.2240 | + | 4.07403i | −1.27673 | + | 0.234047i | ||||
\(304\) | −16.7818 | + | 1.96151i | −0.962502 | + | 0.112500i | ||||
\(305\) | −12.7109 | + | 4.62638i | −0.727822 | + | 0.264906i | ||||
\(306\) | 4.99101 | − | 17.5318i | 0.285317 | − | 1.00223i | ||||
\(307\) | 23.4445 | + | 8.53312i | 1.33805 | + | 0.487011i | 0.909198 | − | 0.416364i | \(-0.136696\pi\) |
0.428853 | + | 0.903374i | \(0.358918\pi\) | |||||||
\(308\) | 47.1360 | + | 11.1714i | 2.68582 | + | 0.636552i | ||||
\(309\) | −17.3961 | − | 16.1911i | −0.989629 | − | 0.921082i | ||||
\(310\) | 39.5749 | − | 26.0288i | 2.24770 | − | 1.47834i | ||||
\(311\) | 7.41173 | + | 3.72231i | 0.420281 | + | 0.211073i | 0.646354 | − | 0.763037i | \(-0.276293\pi\) |
−0.226074 | + | 0.974110i | \(0.572589\pi\) | |||||||
\(312\) | 2.97365 | − | 4.58858i | 0.168350 | − | 0.259777i | ||||
\(313\) | −3.79792 | + | 4.02556i | −0.214671 | + | 0.227538i | −0.825757 | − | 0.564026i | \(-0.809252\pi\) |
0.611086 | + | 0.791565i | \(0.290733\pi\) | |||||||
\(314\) | −1.80054 | − | 10.2114i | −0.101610 | − | 0.576261i | ||||
\(315\) | −11.8554 | − | 7.56943i | −0.667975 | − | 0.426489i | ||||
\(316\) | 3.78181 | − | 21.4477i | 0.212743 | − | 1.20653i | ||||
\(317\) | −13.1931 | − | 17.7214i | −0.741000 | − | 0.995335i | −0.999569 | − | 0.0293426i | \(-0.990659\pi\) |
0.258570 | − | 0.965993i | \(-0.416749\pi\) | |||||||
\(318\) | 53.6460 | − | 31.4588i | 3.00832 | − | 1.76412i | ||||
\(319\) | 23.5356 | − | 5.57805i | 1.31774 | − | 0.312311i | ||||
\(320\) | −30.7363 | − | 3.59256i | −1.71821 | − | 0.200830i | ||||
\(321\) | 1.76785 | − | 3.58033i | 0.0986719 | − | 0.199834i | ||||
\(322\) | −1.41883 | + | 24.3603i | −0.0790681 | + | 1.35755i | ||||
\(323\) | −3.20124 | −0.178122 | ||||||||
\(324\) | −45.6501 | + | 6.59330i | −2.53612 | + | 0.366294i | ||||
\(325\) | −0.644760 | −0.0357648 | ||||||||
\(326\) | −3.69970 | + | 63.5215i | −0.204908 | + | 3.51813i | ||||
\(327\) | 8.89376 | + | 13.3249i | 0.491826 | + | 0.736869i | ||||
\(328\) | −27.7527 | − | 3.24382i | −1.53239 | − | 0.179110i | ||||
\(329\) | −0.378776 | + | 0.0897715i | −0.0208826 | + | 0.00494926i | ||||
\(330\) | 26.7118 | + | 15.1818i | 1.47044 | + | 0.835733i | ||||
\(331\) | 1.70974 | + | 2.29658i | 0.0939760 | + | 0.126232i | 0.846624 | − | 0.532191i | \(-0.178631\pi\) |
−0.752648 | + | 0.658423i | \(0.771224\pi\) | |||||||
\(332\) | 2.31791 | − | 13.1455i | 0.127212 | − | 0.721455i | ||||
\(333\) | −1.22826 | + | 1.33771i | −0.0673080 | + | 0.0733061i | ||||
\(334\) | −5.92749 | − | 33.6165i | −0.324338 | − | 1.83941i | ||||
\(335\) | −12.5734 | + | 13.3271i | −0.686960 | + | 0.728135i | ||||
\(336\) | 24.4425 | + | 47.8582i | 1.33345 | + | 2.61088i | ||||
\(337\) | −14.4460 | − | 7.25506i | −0.786925 | − | 0.395208i | 0.00949332 | − | 0.999955i | \(-0.496978\pi\) |
−0.796418 | + | 0.604746i | \(0.793274\pi\) | |||||||
\(338\) | −28.6721 | + | 18.8579i | −1.55956 | + | 1.02574i | ||||
\(339\) | 3.68571 | − | 16.0343i | 0.200180 | − | 0.870863i | ||||
\(340\) | −20.6099 | − | 4.88464i | −1.11773 | − | 0.264907i | ||||
\(341\) | 33.6180 | + | 12.2359i | 1.82052 | + | 0.662613i | ||||
\(342\) | 4.60000 | + | 10.2790i | 0.248739 | + | 0.555823i | ||||
\(343\) | −17.7905 | + | 6.47520i | −0.960595 | + | 0.349628i | ||||
\(344\) | 22.1044 | − | 2.58363i | 1.19179 | − | 0.139300i | ||||
\(345\) | −3.73661 | + | 10.4866i | −0.201172 | + | 0.564582i | ||||
\(346\) | −9.33928 | − | 9.89906i | −0.502083 | − | 0.532177i | ||||
\(347\) | 8.80217 | − | 11.8234i | 0.472525 | − | 0.634711i | −0.500410 | − | 0.865788i | \(-0.666817\pi\) |
0.972935 | + | 0.231077i | \(0.0742249\pi\) | |||||||
\(348\) | 47.2862 | + | 34.7081i | 2.53480 | + | 1.86055i | ||||
\(349\) | −2.21059 | + | 1.11020i | −0.118330 | + | 0.0594277i | −0.506980 | − | 0.861958i | \(-0.669238\pi\) |
0.388649 | + | 0.921386i | \(0.372942\pi\) | |||||||
\(350\) | 5.87136 | − | 10.1695i | 0.313837 | − | 0.543582i | ||||
\(351\) | −1.89507 | − | 0.525650i | −0.101151 | − | 0.0280571i | ||||
\(352\) | −28.1616 | − | 48.7773i | −1.50102 | − | 2.59984i | ||||
\(353\) | −13.0877 | − | 8.60791i | −0.696588 | − | 0.458153i | 0.151190 | − | 0.988505i | \(-0.451690\pi\) |
−0.847778 | + | 0.530352i | \(0.822060\pi\) | |||||||
\(354\) | −14.1952 | + | 13.5754i | −0.754468 | + | 0.721522i | ||||
\(355\) | −1.26418 | − | 2.93070i | −0.0670957 | − | 0.155545i | ||||
\(356\) | 4.68910 | − | 15.6627i | 0.248522 | − | 0.830120i | ||||
\(357\) | 3.54705 | + | 9.54387i | 0.187730 | + | 0.505115i | ||||
\(358\) | 1.24702 | − | 2.89093i | 0.0659072 | − | 0.152790i | ||||
\(359\) | −0.180567 | − | 0.151513i | −0.00952994 | − | 0.00799657i | 0.638010 | − | 0.770028i | \(-0.279758\pi\) |
−0.647540 | + | 0.762031i | \(0.724202\pi\) | |||||||
\(360\) | 8.49435 | + | 44.6309i | 0.447692 | + | 2.35226i | ||||
\(361\) | −13.0398 | + | 10.9417i | −0.686307 | + | 0.575880i | ||||
\(362\) | 8.76845 | + | 29.2887i | 0.460860 | + | 1.53938i | ||||
\(363\) | 0.510066 | + | 4.12167i | 0.0267715 | + | 0.216332i | ||||
\(364\) | 0.291241 | + | 5.00042i | 0.0152652 | + | 0.262093i | ||||
\(365\) | −0.565975 | − | 9.71742i | −0.0296245 | − | 0.508633i | ||||
\(366\) | −4.23028 | − | 34.1834i | −0.221120 | − | 1.78680i | ||||
\(367\) | 2.76321 | + | 9.22975i | 0.144238 | + | 0.481789i | 0.999327 | − | 0.0366932i | \(-0.0116824\pi\) |
−0.855088 | + | 0.518482i | \(0.826497\pi\) | |||||||
\(368\) | 32.5813 | − | 27.3390i | 1.69842 | − | 1.42514i | ||||
\(369\) | 1.87897 | + | 9.87249i | 0.0978155 | + | 0.513941i | ||||
\(370\) | 2.24737 | + | 1.88576i | 0.116835 | + | 0.0980362i | ||||
\(371\) | −13.7585 | + | 31.8959i | −0.714308 | + | 1.65595i | ||||
\(372\) | 30.2245 | + | 81.3235i | 1.56707 | + | 4.21643i | ||||
\(373\) | 0.0172675 | − | 0.0576774i | 0.000894076 | − | 0.00298642i | −0.957541 | − | 0.288296i | \(-0.906911\pi\) |
0.958435 | + | 0.285310i | \(0.0920964\pi\) | |||||||
\(374\) | −8.80900 | − | 20.4216i | −0.455502 | − | 1.05597i | ||||
\(375\) | 15.2354 | − | 14.5701i | 0.786751 | − | 0.752395i | ||||
\(376\) | 1.05048 | + | 0.690912i | 0.0541744 | + | 0.0356311i | ||||
\(377\) | 1.25050 | + | 2.16594i | 0.0644042 | + | 0.111551i | ||||
\(378\) | 25.5478 | − | 25.1033i | 1.31404 | − | 1.29118i | ||||
\(379\) | −1.23614 | + | 2.14105i | −0.0634961 | + | 0.109979i | −0.896026 | − | 0.444002i | \(-0.853558\pi\) |
0.832530 | + | 0.553980i | \(0.186892\pi\) | |||||||
\(380\) | 11.6935 | − | 5.87268i | 0.599862 | − | 0.301262i | ||||
\(381\) | −17.6628 | − | 12.9645i | −0.904891 | − | 0.664191i | ||||
\(382\) | 24.5206 | − | 32.9368i | 1.25458 | − | 1.68519i | ||||
\(383\) | 18.9333 | + | 20.0682i | 0.967448 | + | 1.02543i | 0.999663 | + | 0.0259538i | \(0.00826228\pi\) |
−0.0322153 | + | 0.999481i | \(0.510256\pi\) | |||||||
\(384\) | 8.55764 | − | 24.0167i | 0.436705 | − | 1.22559i | ||||
\(385\) | −17.0456 | + | 1.99235i | −0.868726 | + | 0.101540i | ||||
\(386\) | −43.7623 | + | 15.9282i | −2.22744 | + | 0.810723i | ||||
\(387\) | −3.26960 | − | 7.30612i | −0.166203 | − | 0.371391i | ||||
\(388\) | −74.0272 | − | 26.9437i | −3.75816 | − | 1.36786i | ||||
\(389\) | 10.5158 | + | 2.49230i | 0.533174 | + | 0.126365i | 0.488379 | − | 0.872632i | \(-0.337588\pi\) |
0.0447950 | + | 0.998996i | \(0.485737\pi\) | |||||||
\(390\) | −0.711706 | + | 3.09620i | −0.0360386 | + | 0.156782i | ||||
\(391\) | 6.73268 | − | 4.42815i | 0.340486 | − | 0.223941i | ||||
\(392\) | 2.46938 | + | 1.24017i | 0.124723 | + | 0.0626381i | ||||
\(393\) | 11.7216 | + | 22.9509i | 0.591278 | + | 1.15772i | ||||
\(394\) | 16.7686 | − | 17.7737i | 0.844789 | − | 0.895424i | ||||
\(395\) | 1.33980 | + | 7.59837i | 0.0674126 | + | 0.382316i | ||||
\(396\) | −38.0608 | + | 41.4526i | −1.91263 | + | 2.08307i | ||||
\(397\) | −3.32712 | + | 18.8690i | −0.166983 | + | 0.947010i | 0.780012 | + | 0.625764i | \(0.215213\pi\) |
−0.946996 | + | 0.321246i | \(0.895898\pi\) | |||||||
\(398\) | 36.9503 | + | 49.6329i | 1.85215 | + | 2.48787i | ||||
\(399\) | −5.46860 | − | 3.10812i | −0.273773 | − | 0.155601i | ||||
\(400\) | −19.9158 | + | 4.72013i | −0.995790 | + | 0.236007i | ||||
\(401\) | −31.2938 | − | 3.65772i | −1.56274 | − | 0.182658i | −0.709698 | − | 0.704506i | \(-0.751169\pi\) |
−0.853038 | + | 0.521848i | \(0.825243\pi\) | |||||||
\(402\) | −25.9010 | − | 38.8057i | −1.29183 | − | 1.93545i | ||||
\(403\) | −0.215089 | + | 3.69294i | −0.0107144 | + | 0.183958i | ||||
\(404\) | −66.8529 | −3.32606 | ||||||||
\(405\) | 14.3984 | − | 7.72634i | 0.715464 | − | 0.383925i | ||||
\(406\) | −45.5497 | −2.26059 | ||||||||
\(407\) | −0.128836 | + | 2.21203i | −0.00638616 | + | 0.109646i | ||||
\(408\) | 14.5601 | − | 29.4878i | 0.720835 | − | 1.45986i | ||||
\(409\) | 0.909506 | + | 0.106306i | 0.0449722 | + | 0.00525649i | 0.138549 | − | 0.990356i | \(-0.455756\pi\) |
−0.0935771 | + | 0.995612i | \(0.529830\pi\) | |||||||
\(410\) | 15.7970 | − | 3.74396i | 0.780160 | − | 0.184901i | ||||
\(411\) | 24.2755 | − | 14.2355i | 1.19742 | − | 0.702185i | ||||
\(412\) | −41.9904 | − | 56.4029i | −2.06872 | − | 2.77877i | ||||
\(413\) | 1.90511 | − | 10.8044i | 0.0937444 | − | 0.531651i | ||||
\(414\) | −23.8930 | − | 15.2552i | −1.17427 | − | 0.749752i | ||||
\(415\) | 0.821178 | + | 4.65713i | 0.0403100 | + | 0.228609i | ||||
\(416\) | 3.99656 | − | 4.23610i | 0.195947 | − | 0.207692i | ||||
\(417\) | 15.5493 | − | 23.9939i | 0.761455 | − | 1.17499i | ||||
\(418\) | 12.2785 | + | 6.16647i | 0.600559 | + | 0.301612i | ||||
\(419\) | 10.1925 | − | 6.70374i | 0.497938 | − | 0.327499i | −0.275575 | − | 0.961280i | \(-0.588868\pi\) |
0.773513 | + | 0.633781i | \(0.218498\pi\) | |||||||
\(420\) | −30.4648 | − | 28.3547i | −1.48653 | − | 1.38357i | ||||
\(421\) | 30.4907 | + | 7.22644i | 1.48603 | + | 0.352195i | 0.891921 | − | 0.452191i | \(-0.149358\pi\) |
0.594107 | + | 0.804386i | \(0.297506\pi\) | |||||||
\(422\) | −64.7830 | − | 23.5791i | −3.15359 | − | 1.14781i | ||||
\(423\) | 0.123820 | − | 0.434939i | 0.00602032 | − | 0.0211474i | ||||
\(424\) | 105.432 | − | 38.3743i | 5.12025 | − | 1.86362i | ||||
\(425\) | −3.85169 | + | 0.450198i | −0.186835 | + | 0.0218378i | ||||
\(426\) | 7.99421 | − | 1.46547i | 0.387321 | − | 0.0710025i | ||||
\(427\) | 13.2028 | + | 13.9941i | 0.638927 | + | 0.677223i | ||||
\(428\) | 7.05522 | − | 9.47681i | 0.341027 | − | 0.458079i | ||||
\(429\) | −2.19675 | + | 0.965280i | −0.106060 | + | 0.0466041i | ||||
\(430\) | −11.5551 | + | 5.80320i | −0.557238 | + | 0.279855i | ||||
\(431\) | 6.90324 | − | 11.9568i | 0.332518 | − | 0.575937i | −0.650487 | − | 0.759517i | \(-0.725435\pi\) |
0.983005 | + | 0.183580i | \(0.0587686\pi\) | |||||||
\(432\) | −62.3844 | − | 2.36329i | −3.00147 | − | 0.113704i | ||||
\(433\) | 12.1413 | + | 21.0293i | 0.583472 | + | 1.01060i | 0.995064 | + | 0.0992354i | \(0.0316397\pi\) |
−0.411592 | + | 0.911368i | \(0.635027\pi\) | |||||||
\(434\) | −56.2883 | − | 37.0214i | −2.70193 | − | 1.77708i | ||||
\(435\) | −19.9475 | − | 5.82502i | −0.956411 | − | 0.279289i | ||||
\(436\) | 18.7748 | + | 43.5250i | 0.899152 | + | 2.08447i | ||||
\(437\) | −1.42782 | + | 4.76924i | −0.0683018 | + | 0.228144i | ||||
\(438\) | 24.4384 | + | 4.13873i | 1.16771 | + | 0.197756i | ||||
\(439\) | 5.03397 | − | 11.6701i | 0.240258 | − | 0.556981i | −0.754836 | − | 0.655914i | \(-0.772283\pi\) |
0.995094 | + | 0.0989323i | \(0.0315427\pi\) | |||||||
\(440\) | 42.4631 | + | 35.6308i | 2.02435 | + | 1.69863i | ||||
\(441\) | 0.159314 | − | 0.981023i | 0.00758640 | − | 0.0467154i | ||||
\(442\) | 1.76165 | − | 1.47820i | 0.0837932 | − | 0.0703108i | ||||
\(443\) | −7.31849 | − | 24.4454i | −0.347712 | − | 1.16144i | −0.935767 | − | 0.352618i | \(-0.885292\pi\) |
0.588056 | − | 0.808820i | \(-0.299894\pi\) | |||||||
\(444\) | −4.28833 | + | 3.23791i | −0.203515 | + | 0.153664i | ||||
\(445\) | 0.336788 | + | 5.78242i | 0.0159653 | + | 0.274113i | ||||
\(446\) | 0.633086 | + | 10.8697i | 0.0299775 | + | 0.514694i | ||||
\(447\) | 5.43494 | + | 2.30088i | 0.257064 | + | 0.108828i | ||||
\(448\) | 12.6235 | + | 42.1656i | 0.596407 | + | 1.99214i | ||||
\(449\) | 2.45881 | − | 2.06318i | 0.116038 | − | 0.0973677i | −0.582922 | − | 0.812528i | \(-0.698091\pi\) |
0.698960 | + | 0.715160i | \(0.253646\pi\) | |||||||
\(450\) | 6.98021 | + | 11.7206i | 0.329050 | + | 0.552515i | ||||
\(451\) | 9.39297 | + | 7.88164i | 0.442298 | + | 0.371132i | ||||
\(452\) | 19.2812 | − | 44.6989i | 0.906912 | − | 2.10246i | ||||
\(453\) | −9.54253 | + | 11.5300i | −0.448347 | + | 0.541726i | ||||
\(454\) | −16.2963 | + | 54.4335i | −0.764825 | + | 2.55469i | ||||
\(455\) | −0.702853 | − | 1.62940i | −0.0329502 | − | 0.0763873i | ||||
\(456\) | 4.81917 | + | 19.7372i | 0.225678 | + | 0.924278i | ||||
\(457\) | 1.78221 | + | 1.17218i | 0.0833682 | + | 0.0548321i | 0.590509 | − | 0.807031i | \(-0.298927\pi\) |
−0.507141 | + | 0.861863i | \(0.669297\pi\) | |||||||
\(458\) | 16.1769 | + | 28.0192i | 0.755896 | + | 1.30925i | ||||
\(459\) | −11.6879 | − | 1.81693i | −0.545543 | − | 0.0848070i | ||||
\(460\) | −16.4696 | + | 28.5262i | −0.767899 | + | 1.33004i | ||||
\(461\) | 20.4974 | − | 10.2942i | 0.954661 | − | 0.479449i | 0.0979192 | − | 0.995194i | \(-0.468781\pi\) |
0.856742 | + | 0.515746i | \(0.172485\pi\) | |||||||
\(462\) | 4.77931 | − | 43.4384i | 0.222354 | − | 2.02094i | ||||
\(463\) | 17.2886 | − | 23.2226i | 0.803467 | − | 1.07924i | −0.191739 | − | 0.981446i | \(-0.561413\pi\) |
0.995206 | − | 0.0977977i | \(-0.0311798\pi\) | |||||||
\(464\) | 54.4827 | + | 57.7483i | 2.52930 | + | 2.68090i | ||||
\(465\) | −19.9159 | − | 23.4111i | −0.923577 | − | 1.08566i | ||||
\(466\) | 63.9196 | − | 7.47113i | 2.96102 | − | 0.346094i | ||||
\(467\) | −1.96329 | + | 0.714577i | −0.0908500 | + | 0.0330667i | −0.387045 | − | 0.922061i | \(-0.626504\pi\) |
0.296195 | + | 0.955127i | \(0.404282\pi\) | |||||||
\(468\) | −5.23486 | − | 2.54087i | −0.241982 | − | 0.117452i | ||||
\(469\) | 24.4885 | + | 8.91307i | 1.13077 | + | 0.411567i | ||||
\(470\) | −0.710840 | − | 0.168472i | −0.0327886 | − | 0.00777104i | ||||
\(471\) | −6.43242 | + | 1.97329i | −0.296390 | + | 0.0909246i | ||||
\(472\) | −29.6066 | + | 19.4726i | −1.36275 | + | 0.896298i | ||||
\(473\) | −8.72732 | − | 4.38303i | −0.401283 | − | 0.201532i | ||||
\(474\) | −19.6210 | − | 1.00954i | −0.901224 | − | 0.0463697i | ||||
\(475\) | 1.64405 | − | 1.74259i | 0.0754344 | − | 0.0799557i | ||||
\(476\) | 5.23133 | + | 29.6684i | 0.239778 | + | 1.35985i | ||||
\(477\) | −24.5341 | − | 32.0399i | −1.12334 | − | 1.46700i | ||||
\(478\) | 11.0030 | − | 62.4013i | 0.503267 | − | 2.85417i | ||||
\(479\) | −12.9813 | − | 17.4369i | −0.593131 | − | 0.796713i | 0.399648 | − | 0.916669i | \(-0.369132\pi\) |
−0.992779 | + | 0.119955i | \(0.961725\pi\) | |||||||
\(480\) | 0.327645 | + | 48.3886i | 0.0149549 | + | 2.20863i | ||||
\(481\) | −0.222936 | + | 0.0528369i | −0.0101650 | + | 0.00240916i | ||||
\(482\) | −33.6038 | − | 3.92772i | −1.53061 | − | 0.178903i | ||||
\(483\) | 15.8006 | − | 1.02767i | 0.718952 | − | 0.0467608i | ||||
\(484\) | −0.714507 | + | 12.2676i | −0.0324776 | + | 0.557618i | ||||
\(485\) | 27.9091 | 1.26729 | ||||||||
\(486\) | 10.9607 | + | 40.1398i | 0.497189 | + | 1.82078i | ||||
\(487\) | −3.65843 | −0.165779 | −0.0828896 | − | 0.996559i | \(-0.526415\pi\) | ||||
−0.0828896 | + | 0.996559i | \(0.526415\pi\) | |||||||
\(488\) | 3.61325 | − | 62.0370i | 0.163564 | − | 2.80828i | ||||
\(489\) | 41.2014 | − | 2.67974i | 1.86319 | − | 0.121182i | ||||
\(490\) | −1.59468 | − | 0.186392i | −0.0720404 | − | 0.00842032i | ||||
\(491\) | −16.8990 | + | 4.00514i | −0.762642 | + | 0.180750i | −0.593491 | − | 0.804841i | \(-0.702251\pi\) |
−0.169151 | + | 0.985590i | \(0.554103\pi\) | |||||||
\(492\) | 0.201338 | + | 29.7348i | 0.00907701 | + | 1.34055i | ||||
\(493\) | 8.98266 | + | 12.0658i | 0.404558 | + | 0.543416i | ||||
\(494\) | −0.246704 | + | 1.39913i | −0.0110998 | + | 0.0629498i | ||||
\(495\) | 7.64802 | − | 18.4117i | 0.343753 | − | 0.827546i | ||||
\(496\) | 20.3913 | + | 115.645i | 0.915596 | + | 5.19260i | ||||
\(497\) | −3.11531 | + | 3.30204i | −0.139741 | + | 0.148117i | ||||
\(498\) | −12.0260 | − | 0.618759i | −0.538896 | − | 0.0277272i | ||||
\(499\) | −15.1185 | − | 7.59280i | −0.676797 | − | 0.339900i | 0.0769779 | − | 0.997033i | \(-0.475473\pi\) |
−0.753775 | + | 0.657132i | \(0.771769\pi\) | |||||||
\(500\) | 52.1135 | − | 34.2756i | 2.33059 | − | 1.53285i | ||||
\(501\) | −21.1759 | + | 6.49621i | −0.946070 | + | 0.290229i | ||||
\(502\) | −35.2337 | − | 8.35055i | −1.57256 | − | 0.372703i | ||||
\(503\) | −27.0776 | − | 9.85546i | −1.20733 | − | 0.439433i | −0.341555 | − | 0.939862i | \(-0.610953\pi\) |
−0.865778 | + | 0.500429i | \(0.833176\pi\) | |||||||
\(504\) | 53.5027 | − | 36.2366i | 2.38320 | − | 1.61411i | ||||
\(505\) | 22.2559 | − | 8.10050i | 0.990377 | − | 0.360468i | ||||
\(506\) | −34.3532 | + | 4.01532i | −1.52719 | + | 0.178503i | ||||
\(507\) | 14.4291 | + | 16.9614i | 0.640820 | + | 0.753282i | ||||
\(508\) | −44.4880 | − | 47.1545i | −1.97383 | − | 2.09214i | ||||
\(509\) | −7.15272 | + | 9.60777i | −0.317039 | + | 0.425857i | −0.931865 | − | 0.362806i | \(-0.881819\pi\) |
0.614826 | + | 0.788663i | \(0.289226\pi\) | |||||||
\(510\) | −2.08972 | + | 18.9931i | −0.0925344 | + | 0.841031i | ||||
\(511\) | −12.3721 | + | 6.21351i | −0.547310 | + | 0.274870i | ||||
\(512\) | −7.77620 | + | 13.4688i | −0.343663 | + | 0.595241i | ||||
\(513\) | 6.25286 | − | 3.78147i | 0.276070 | − | 0.166956i | ||||
\(514\) | 3.73567 | + | 6.47037i | 0.164773 | + | 0.285396i | ||||
\(515\) | 20.8133 | + | 13.6891i | 0.917142 | + | 0.603214i | ||||
\(516\) | −5.61773 | − | 23.0077i | −0.247307 | − | 1.01286i | ||||
\(517\) | −0.218538 | − | 0.506629i | −0.00961131 | − | 0.0222815i | ||||
\(518\) | 1.19675 | − | 3.99741i | 0.0525821 | − | 0.175636i | ||||
\(519\) | −5.63051 | + | 6.80320i | −0.247152 | + | 0.298627i | ||||
\(520\) | −2.27019 | + | 5.26290i | −0.0995545 | + | 0.230793i | ||||
\(521\) | 2.74519 | + | 2.30349i | 0.120269 | + | 0.100918i | 0.700939 | − | 0.713222i | \(-0.252765\pi\) |
−0.580669 | + | 0.814139i | \(0.697209\pi\) | |||||||
\(522\) | 25.8349 | − | 46.1805i | 1.13076 | − | 2.02127i | ||||
\(523\) | −20.6502 | + | 17.3276i | −0.902971 | + | 0.757683i | −0.970769 | − | 0.240016i | \(-0.922847\pi\) |
0.0677978 | + | 0.997699i | \(0.478403\pi\) | |||||||
\(524\) | 21.8693 | + | 73.0486i | 0.955366 | + | 3.19114i | ||||
\(525\) | −7.01685 | − | 2.97059i | −0.306241 | − | 0.129647i | ||||
\(526\) | −0.230548 | − | 3.95835i | −0.0100524 | − | 0.172592i | ||||
\(527\) | 1.29366 | + | 22.2112i | 0.0563526 | + | 0.967536i | ||||
\(528\) | −60.7882 | + | 45.8981i | −2.64547 | + | 1.99746i | ||||
\(529\) | 3.00228 | + | 10.0283i | 0.130534 | + | 0.436013i | ||||
\(530\) | −49.9383 | + | 41.9032i | −2.16918 | + | 1.82016i | ||||
\(531\) | 9.87352 | + | 8.05957i | 0.428474 | + | 0.349755i | ||||
\(532\) | −14.2573 | − | 11.9633i | −0.618132 | − | 0.518674i | ||||
\(533\) | −0.502173 | + | 1.16417i | −0.0217515 | + | 0.0504257i | ||||
\(534\) | −14.5422 | − | 2.46278i | −0.629305 | − | 0.106575i | ||||
\(535\) | −1.20045 | + | 4.00979i | −0.0519001 | + | 0.173358i | ||||
\(536\) | −33.3393 | − | 77.2892i | −1.44004 | − | 3.33839i | ||||
\(537\) | −1.96108 | − | 0.572668i | −0.0846267 | − | 0.0247125i | ||||
\(538\) | 20.3471 | + | 13.3825i | 0.877224 | + | 0.576959i | ||||
\(539\) | −0.606313 | − | 1.05017i | −0.0261158 | − | 0.0452338i | ||||
\(540\) | 46.0265 | − | 14.8045i | 1.98066 | − | 0.637086i | ||||
\(541\) | 8.33503 | − | 14.4367i | 0.358351 | − | 0.620682i | −0.629335 | − | 0.777134i | \(-0.716672\pi\) |
0.987685 | + | 0.156453i | \(0.0500058\pi\) | |||||||
\(542\) | −14.0659 | + | 7.06418i | −0.604183 | + | 0.303432i | ||||
\(543\) | 18.1625 | − | 7.98083i | 0.779428 | − | 0.342490i | ||||
\(544\) | 20.9170 | − | 28.0964i | 0.896808 | − | 1.20462i | ||||
\(545\) | −11.5242 | − | 12.2149i | −0.493642 | − | 0.523230i | ||||
\(546\) | 4.44458 | − | 0.814768i | 0.190211 | − | 0.0348688i | ||||
\(547\) | 38.4603 | − | 4.49536i | 1.64444 | − | 0.192208i | 0.757094 | − | 0.653306i | \(-0.226618\pi\) |
0.887349 | + | 0.461098i | \(0.152544\pi\) | |||||||
\(548\) | 78.2449 | − | 28.4788i | 3.34246 | − | 1.21655i | ||||
\(549\) | −21.6763 | + | 5.44843i | −0.925122 | + | 0.232533i | ||||
\(550\) | 15.6405 | + | 5.69267i | 0.666912 | + | 0.242736i | ||||
\(551\) | −9.04250 | − | 2.14311i | −0.385224 | − | 0.0912997i | ||||
\(552\) | −37.4371 | − | 34.8440i | −1.59343 | − | 1.48306i | ||||
\(553\) | 9.16871 | − | 6.03035i | 0.389893 | − | 0.256437i | ||||
\(554\) | 11.8069 | + | 5.92962i | 0.501625 | + | 0.251926i | ||||
\(555\) | 1.03529 | − | 1.59754i | 0.0439457 | − | 0.0678118i | ||||
\(556\) | 58.0551 | − | 61.5348i | 2.46208 | − | 2.60966i | ||||
\(557\) | 3.42298 | + | 19.4127i | 0.145036 | + | 0.822542i | 0.967338 | + | 0.253490i | \(0.0815786\pi\) |
−0.822302 | + | 0.569052i | \(0.807310\pi\) | |||||||
\(558\) | 69.4598 | − | 36.0701i | 2.94047 | − | 1.52697i | ||||
\(559\) | 0.175353 | − | 0.994479i | 0.00741666 | − | 0.0420620i | ||||
\(560\) | −33.6386 | − | 45.1845i | −1.42149 | − | 1.90939i | ||||
\(561\) | −12.4490 | + | 7.30029i | −0.525599 | + | 0.308218i | ||||
\(562\) | −35.3457 | + | 8.37708i | −1.49097 | + | 0.353366i | ||||
\(563\) | −0.729538 | − | 0.0852707i | −0.0307463 | − | 0.00359373i | 0.100706 | − | 0.994916i | \(-0.467890\pi\) |
−0.131452 | + | 0.991323i | \(0.541964\pi\) | |||||||
\(564\) | 0.592404 | − | 1.19976i | 0.0249447 | − | 0.0505191i | ||||
\(565\) | −1.00277 | + | 17.2170i | −0.0421870 | + | 0.724323i | ||||
\(566\) | 31.5659 | 1.32681 | ||||||||
\(567\) | −18.2020 | − | 14.4517i | −0.764413 | − | 0.606914i | ||||
\(568\) | 14.6630 | 0.615246 | ||||||||
\(569\) | 1.19633 | − | 20.5401i | 0.0501526 | − | 0.861088i | −0.875619 | − | 0.483003i | \(-0.839546\pi\) |
0.925771 | − | 0.378084i | \(-0.123417\pi\) | |||||||
\(570\) | −6.55335 | − | 9.81844i | −0.274490 | − | 0.411249i | ||||
\(571\) | −2.33025 | − | 0.272367i | −0.0975180 | − | 0.0113982i | 0.0671940 | − | 0.997740i | \(-0.478595\pi\) |
−0.164712 | + | 0.986342i | \(0.552669\pi\) | |||||||
\(572\) | −6.90829 | + | 1.63730i | −0.288850 | + | 0.0684587i | ||||
\(573\) | −23.1648 | − | 13.1659i | −0.967722 | − | 0.550012i | ||||
\(574\) | −13.7889 | − | 18.5218i | −0.575539 | − | 0.773083i | ||||
\(575\) | −1.04722 | + | 5.93909i | −0.0436721 | + | 0.247677i | ||||
\(576\) | −49.9094 | − | 11.1172i | −2.07956 | − | 0.463215i | ||||
\(577\) | −5.62981 | − | 31.9282i | −0.234372 | − | 1.32919i | −0.843932 | − | 0.536449i | \(-0.819765\pi\) |
0.609561 | − | 0.792739i | \(-0.291346\pi\) | |||||||
\(578\) | −21.6480 | + | 22.9455i | −0.900438 | + | 0.954409i | ||||
\(579\) | 13.7450 | + | 26.9126i | 0.571223 | + | 1.11845i | ||||
\(580\) | −54.9464 | − | 27.5951i | −2.28153 | − | 1.14583i | ||||
\(581\) | 5.61960 | − | 3.69607i | 0.233140 | − | 0.153339i | ||||
\(582\) | −15.9207 | + | 69.2614i | −0.659935 | + | 2.87098i | ||||
\(583\) | −47.9092 | − | 11.3547i | −1.98420 | − | 0.470263i | ||||
\(584\) | 42.0213 | + | 15.2945i | 1.73885 | + | 0.632891i | ||||
\(585\) | 2.05061 | + | 0.211576i | 0.0847822 | + | 0.00874758i | ||||
\(586\) | −40.8323 | + | 14.8617i | −1.68677 | + | 0.613932i | ||||
\(587\) | 18.4303 | − | 2.15420i | 0.760702 | − | 0.0889133i | 0.273107 | − | 0.961984i | \(-0.411949\pi\) |
0.487594 | + | 0.873070i | \(0.337874\pi\) | |||||||
\(588\) | 0.987051 | − | 2.77012i | 0.0407053 | − | 0.114238i | ||||
\(589\) | −9.43248 | − | 9.99784i | −0.388658 | − | 0.411954i | ||||
\(590\) | 12.2950 | − | 16.5151i | 0.506178 | − | 0.679915i | ||||
\(591\) | −12.7822 | − | 9.38217i | −0.525791 | − | 0.385931i | ||||
\(592\) | −6.49941 | + | 3.26413i | −0.267124 | + | 0.134155i | ||||
\(593\) | 20.4339 | − | 35.3926i | 0.839120 | − | 1.45340i | −0.0515108 | − | 0.998672i | \(-0.516404\pi\) |
0.890631 | − | 0.454727i | \(-0.150263\pi\) | |||||||
\(594\) | 41.3293 | + | 29.4829i | 1.69576 | + | 1.20970i | ||||
\(595\) | −5.33644 | − | 9.24299i | −0.218773 | − | 0.378926i | ||||
\(596\) | 14.5900 | + | 9.59598i | 0.597629 | + | 0.393067i | ||||
\(597\) | 29.0179 | − | 27.7507i | 1.18762 | − | 1.13576i | ||||
\(598\) | −1.41651 | − | 3.28383i | −0.0579253 | − | 0.134286i | ||||
\(599\) | −2.61997 | + | 8.75130i | −0.107049 | + | 0.357568i | −0.994683 | − | 0.102980i | \(-0.967162\pi\) |
0.887634 | + | 0.460549i | \(0.152347\pi\) | |||||||
\(600\) | 8.57405 | + | 23.0698i | 0.350034 | + | 0.941820i | ||||
\(601\) | −14.6923 | + | 34.0606i | −0.599311 | + | 1.38936i | 0.300795 | + | 0.953689i | \(0.402748\pi\) |
−0.900106 | + | 0.435670i | \(0.856511\pi\) | |||||||
\(602\) | 14.0886 | + | 11.8218i | 0.574209 | + | 0.481819i | ||||
\(603\) | −22.9259 | + | 19.7723i | −0.933616 | + | 0.805190i | ||||
\(604\) | −33.9235 | + | 28.4652i | −1.38033 | + | 1.15823i | ||||
\(605\) | −1.24859 | − | 4.17057i | −0.0507623 | − | 0.169558i | ||||
\(606\) | 7.40696 | + | 59.8531i | 0.300887 | + | 2.43137i | ||||
\(607\) | 1.94480 | + | 33.3909i | 0.0789370 | + | 1.35530i | 0.772553 | + | 0.634951i | \(0.218980\pi\) |
−0.693616 | + | 0.720345i | \(0.743983\pi\) | |||||||
\(608\) | 1.25823 | + | 21.6030i | 0.0510281 | + | 0.876118i | ||||
\(609\) | 3.63003 | + | 29.3331i | 0.147096 | + | 1.18864i | ||||
\(610\) | 10.3553 | + | 34.5890i | 0.419273 | + | 1.40047i | ||||
\(611\) | 0.0437040 | − | 0.0366720i | 0.00176807 | − | 0.00148359i | ||||
\(612\) | −33.0464 | − | 11.5236i | −1.33582 | − | 0.465812i | ||||
\(613\) | 35.2558 | + | 29.5831i | 1.42397 | + | 1.19485i | 0.949173 | + | 0.314754i | \(0.101922\pi\) |
0.474794 | + | 0.880097i | \(0.342522\pi\) | |||||||
\(614\) | 26.3771 | − | 61.1490i | 1.06449 | − | 2.46777i | ||||
\(615\) | −3.66996 | − | 9.87459i | −0.147987 | − | 0.398182i | ||||
\(616\) | 22.6121 | − | 75.5297i | 0.911067 | − | 3.04318i | ||||
\(617\) | 16.8376 | + | 39.0340i | 0.677858 | + | 1.57145i | 0.814067 | + | 0.580771i | \(0.197249\pi\) |
−0.136209 | + | 0.990680i | \(0.543492\pi\) | |||||||
\(618\) | −45.8449 | + | 43.8429i | −1.84415 | + | 1.76362i | ||||
\(619\) | −35.1471 | − | 23.1166i | −1.41268 | − | 0.929134i | −0.999832 | − | 0.0183341i | \(-0.994164\pi\) |
−0.412848 | − | 0.910800i | \(-0.635466\pi\) | |||||||
\(620\) | −45.4719 | − | 78.7597i | −1.82620 | − | 3.16307i | ||||
\(621\) | −7.91990 | + | 16.6023i | −0.317815 | + | 0.666228i | ||||
\(622\) | 11.0693 | − | 19.1725i | 0.443837 | − | 0.768749i | ||||
\(623\) | 7.36212 | − | 3.69740i | 0.294957 | − | 0.148133i | ||||
\(624\) | −6.34921 | − | 4.66033i | −0.254172 | − | 0.186562i | ||||
\(625\) | −8.10943 | + | 10.8929i | −0.324377 | + | 0.435714i | ||||
\(626\) | 10.1376 | + | 10.7452i | 0.405179 | + | 0.429465i | ||||
\(627\) | 2.99256 | − | 8.39850i | 0.119511 | − | 0.335404i | ||||
\(628\) | −19.7733 | + | 2.31117i | −0.789042 | + | 0.0922258i | ||||
\(629\) | −1.29489 | + | 0.471303i | −0.0516308 | + | 0.0187921i | ||||
\(630\) | −22.0105 | + | 30.4166i | −0.876918 | + | 1.21183i | ||||
\(631\) | −1.25540 | − | 0.456928i | −0.0499766 | − | 0.0181900i | 0.316911 | − | 0.948455i | \(-0.397354\pi\) |
−0.366888 | + | 0.930265i | \(0.619577\pi\) | |||||||
\(632\) | −34.4905 | − | 8.17439i | −1.37196 | − | 0.325160i | ||||
\(633\) | −10.0216 | + | 43.5981i | −0.398324 | + | 1.73287i | ||||
\(634\) | −49.2704 | + | 32.4057i | −1.95678 | + | 1.28699i | ||||
\(635\) | 20.5241 | + | 10.3076i | 0.814474 | + | 0.409044i | ||||
\(636\) | −54.3088 | − | 106.336i | −2.15348 | − | 4.21651i | ||||
\(637\) | 0.0860451 | − | 0.0912025i | 0.00340923 | − | 0.00361357i | ||||
\(638\) | −11.2112 | − | 63.5818i | −0.443855 | − | 2.51723i | ||||
\(639\) | −1.58083 | − | 5.03132i | −0.0625365 | − | 0.199036i | ||||
\(640\) | −4.64087 | + | 26.3197i | −0.183446 | + | 1.04038i | ||||
\(641\) | −5.74977 | − | 7.72328i | −0.227102 | − | 0.305051i | 0.673937 | − | 0.738789i | \(-0.264602\pi\) |
−0.901039 | + | 0.433738i | \(0.857195\pi\) | |||||||
\(642\) | −9.26622 | − | 5.26652i | −0.365709 | − | 0.207853i | ||||
\(643\) | −17.8664 | + | 4.23442i | −0.704583 | + | 0.166989i | −0.567262 | − | 0.823537i | \(-0.691997\pi\) |
−0.137321 | + | 0.990527i | \(0.543849\pi\) | |||||||
\(644\) | 46.5335 | + | 5.43898i | 1.83368 | + | 0.214326i | ||||
\(645\) | 4.65802 | + | 6.97878i | 0.183409 | + | 0.274789i | ||||
\(646\) | −0.496842 | + | 8.53044i | −0.0195480 | + | 0.335626i | ||||
\(647\) | −24.2705 | −0.954170 | −0.477085 | − | 0.878857i | \(-0.658307\pi\) | ||||
−0.477085 | + | 0.878857i | \(0.658307\pi\) | |||||||
\(648\) | 6.39278 | + | 74.7965i | 0.251132 | + | 2.93828i | ||||
\(649\) | 15.5506 | 0.610413 | ||||||||
\(650\) | −0.100069 | + | 1.71811i | −0.00392501 | + | 0.0673898i | ||||
\(651\) | −19.3552 | + | 39.1989i | −0.758590 | + | 1.53633i | ||||
\(652\) | 121.340 | + | 14.1826i | 4.75204 | + | 0.555433i | ||||
\(653\) | 41.4115 | − | 9.81470i | 1.62056 | − | 0.384079i | 0.682589 | − | 0.730802i | \(-0.260854\pi\) |
0.937967 | + | 0.346724i | \(0.112706\pi\) | |||||||
\(654\) | 36.8876 | − | 21.6314i | 1.44242 | − | 0.845854i | ||||
\(655\) | −16.1317 | − | 21.6687i | −0.630319 | − | 0.846665i | ||||
\(656\) | −6.98888 | + | 39.6359i | −0.272870 | + | 1.54752i | ||||
\(657\) | 0.717667 | − | 16.0677i | 0.0279988 | − | 0.626859i | ||||
\(658\) | 0.180430 | + | 1.02327i | 0.00703388 | + | 0.0398911i | ||||
\(659\) | −1.29417 | + | 1.37174i | −0.0504138 | + | 0.0534355i | −0.752090 | − | 0.659061i | \(-0.770954\pi\) |
0.701676 | + | 0.712496i | \(0.252435\pi\) | |||||||
\(660\) | 32.0813 | − | 49.5042i | 1.24876 | − | 1.92695i | ||||
\(661\) | 37.6179 | + | 18.8924i | 1.46317 | + | 0.734829i | 0.989317 | − | 0.145778i | \(-0.0465684\pi\) |
0.473848 | + | 0.880607i | \(0.342865\pi\) | |||||||
\(662\) | 6.38513 | − | 4.19956i | 0.248165 | − | 0.163221i | ||||
\(663\) | −1.09232 | − | 1.01666i | −0.0424223 | − | 0.0394839i | ||||
\(664\) | −21.1396 | − | 5.01018i | −0.820376 | − | 0.194433i | ||||
\(665\) | 6.19596 | + | 2.25514i | 0.240269 | + | 0.0874507i | ||||
\(666\) | 3.37401 | + | 3.48058i | 0.130740 | + | 0.134870i | ||||
\(667\) | 21.9822 | − | 8.00086i | 0.851154 | − | 0.309795i | ||||
\(668\) | −65.0950 | + | 7.60852i | −2.51860 | + | 0.294382i | ||||
\(669\) | 6.94939 | − | 1.27394i | 0.268679 | − | 0.0492534i | ||||
\(670\) | 33.5616 | + | 35.5732i | 1.29660 | + | 1.37431i | ||||
\(671\) | −16.2845 | + | 21.8738i | −0.628655 | + | 0.844430i | ||||
\(672\) | 63.0110 | − | 27.6878i | 2.43070 | − | 1.06808i | ||||
\(673\) | 9.62352 | − | 4.83311i | 0.370960 | − | 0.186303i | −0.253546 | − | 0.967323i | \(-0.581597\pi\) |
0.624505 | + | 0.781020i | \(0.285301\pi\) | |||||||
\(674\) | −21.5748 | + | 37.3687i | −0.831031 | + | 1.43939i | ||||
\(675\) | 6.99156 | − | 5.42917i | 0.269105 | − | 0.208969i | ||||
\(676\) | 32.9446 | + | 57.0616i | 1.26710 | + | 2.19468i | ||||
\(677\) | 8.76356 | + | 5.76388i | 0.336811 | + | 0.221524i | 0.706636 | − | 0.707577i | \(-0.250212\pi\) |
−0.369825 | + | 0.929102i | \(0.620582\pi\) | |||||||
\(678\) | −42.1550 | − | 12.3100i | −1.61895 | − | 0.472762i | ||||
\(679\) | −15.7227 | − | 36.4493i | −0.603381 | − | 1.39879i | ||||
\(680\) | −9.88699 | + | 33.0249i | −0.379149 | + | 1.26645i | ||||
\(681\) | 36.3528 | + | 6.15648i | 1.39304 | + | 0.235917i | ||||
\(682\) | 37.8231 | − | 87.6837i | 1.44832 | − | 3.35758i | ||||
\(683\) | −18.5237 | − | 15.5432i | −0.708789 | − | 0.594745i | 0.215470 | − | 0.976510i | \(-0.430872\pi\) |
−0.924259 | + | 0.381766i | \(0.875316\pi\) | |||||||
\(684\) | 20.2154 | − | 7.66940i | 0.772957 | − | 0.293247i | ||||
\(685\) | −22.5977 | + | 18.9617i | −0.863413 | + | 0.724490i | ||||
\(686\) | 14.4935 | + | 48.4117i | 0.553365 | + | 1.84837i | ||||
\(687\) | 16.7546 | − | 12.6505i | 0.639227 | − | 0.482648i | ||||
\(688\) | −1.86390 | − | 32.0019i | −0.0710604 | − | 1.22006i | ||||
\(689\) | −0.296019 | − | 5.08244i | −0.0112774 | − | 0.193626i | ||||
\(690\) | 27.3641 | + | 11.5846i | 1.04173 | + | 0.441018i | ||||
\(691\) | 2.45603 | + | 8.20373i | 0.0934320 | + | 0.312084i | 0.991912 | − | 0.126931i | \(-0.0405126\pi\) |
−0.898480 | + | 0.439015i | \(0.855327\pi\) | |||||||
\(692\) | −20.0163 | + | 16.7957i | −0.760907 | + | 0.638476i | ||||
\(693\) | −28.3543 | + | 0.383998i | −1.07709 | + | 0.0145869i | ||||
\(694\) | −30.1399 | − | 25.2904i | −1.14410 | − | 0.960011i | ||||
\(695\) | −11.8710 | + | 27.5200i | −0.450291 | + | 1.04389i | ||||
\(696\) | 60.8688 | − | 73.5463i | 2.30723 | − | 2.78776i | ||||
\(697\) | −2.18703 | + | 7.30519i | −0.0828397 | + | 0.276704i | ||||
\(698\) | 2.61529 | + | 6.06293i | 0.0989903 | + | 0.229485i | ||||
\(699\) | −9.90526 | − | 40.5675i | −0.374652 | − | 1.53440i | ||||
\(700\) | −18.8366 | − | 12.3890i | −0.711957 | − | 0.468261i | ||||
\(701\) | −1.21019 | − | 2.09612i | −0.0457084 | − | 0.0791693i | 0.842266 | − | 0.539062i | \(-0.181221\pi\) |
−0.887974 | + | 0.459893i | \(0.847888\pi\) | |||||||
\(702\) | −1.69483 | + | 4.96826i | −0.0639674 | + | 0.187515i | ||||
\(703\) | 0.425656 | − | 0.737258i | 0.0160539 | − | 0.0278062i | ||||
\(704\) | −55.7510 | + | 27.9992i | −2.10119 | + | 1.05526i | ||||
\(705\) | −0.0518430 | + | 0.471192i | −0.00195252 | + | 0.0177461i | ||||
\(706\) | −24.9690 | + | 33.5392i | −0.939720 | + | 1.26226i | ||||
\(707\) | −23.1172 | − | 24.5028i | −0.869413 | − | 0.921524i | ||||
\(708\) | 24.4354 | + | 28.7238i | 0.918340 | + | 1.07951i | ||||
\(709\) | −49.4393 | + | 5.77862i | −1.85673 | + | 0.217021i | −0.969634 | − | 0.244561i | \(-0.921356\pi\) |
−0.887098 | + | 0.461582i | \(0.847282\pi\) | |||||||
\(710\) | −8.00572 | + | 2.91384i | −0.300449 | + | 0.109355i | ||||
\(711\) | 0.913554 | + | 12.7160i | 0.0342610 | + | 0.476887i | ||||
\(712\) | −25.0051 | − | 9.10110i | −0.937104 | − | 0.341078i | ||||
\(713\) | 33.6675 | + | 7.97934i | 1.26086 | + | 0.298829i | ||||
\(714\) | 25.9823 | − | 7.97069i | 0.972364 | − | 0.298295i | ||||
\(715\) | 2.10144 | − | 1.38214i | 0.0785895 | − | 0.0516892i | ||||
\(716\) | −5.40188 | − | 2.71293i | −0.201878 | − | 0.101387i | ||||
\(717\) | −41.0621 | − | 2.11272i | −1.53349 | − | 0.0789011i | ||||
\(718\) | −0.431766 | + | 0.457646i | −0.0161134 | + | 0.0170792i | ||||
\(719\) | −9.09244 | − | 51.5658i | −0.339091 | − | 1.92308i | −0.382355 | − | 0.924015i | \(-0.624887\pi\) |
0.0432647 | − | 0.999064i | \(-0.486224\pi\) | |||||||
\(720\) | 64.8895 | − | 8.47670i | 2.41829 | − | 0.315908i | ||||
\(721\) | 6.15275 | − | 34.8940i | 0.229140 | − | 1.29952i | ||||
\(722\) | 27.1329 | + | 36.4458i | 1.00978 | + | 1.35637i | ||||
\(723\) | 0.148647 | + | 21.9531i | 0.00552825 | + | 0.816446i | ||||
\(724\) | 57.1170 | − | 13.5370i | 2.12274 | − | 0.503098i | ||||
\(725\) | −11.1812 | − | 1.30690i | −0.415260 | − | 0.0485369i | ||||
\(726\) | 11.0623 | − | 0.719493i | 0.410560 | − | 0.0267029i | ||||
\(727\) | 2.04674 | − | 35.1411i | 0.0759093 | − | 1.30331i | −0.718328 | − | 0.695705i | \(-0.755092\pi\) |
0.794237 | − | 0.607608i | \(-0.207871\pi\) | |||||||
\(728\) | 8.15228 | 0.302143 | ||||||||
\(729\) | 24.9757 | − | 10.2574i | 0.925026 | − | 0.379903i | ||||
\(730\) | −25.9821 | −0.961642 | ||||||||
\(731\) | 0.353147 | − | 6.06329i | 0.0130616 | − | 0.224259i | ||||
\(732\) | −65.9923 | + | 4.29215i | −2.43915 | + | 0.158642i | ||||
\(733\) | −23.6318 | − | 2.76216i | −0.872860 | − | 0.102023i | −0.332145 | − | 0.943228i | \(-0.607772\pi\) |
−0.540715 | + | 0.841206i | \(0.681846\pi\) | |||||||
\(734\) | 25.0236 | − | 5.93071i | 0.923639 | − | 0.218906i | ||||
\(735\) | 0.00705413 | + | 1.04180i | 0.000260196 | + | 0.0384273i | ||||
\(736\) | −32.5289 | − | 43.6938i | −1.19903 | − | 1.61058i | ||||
\(737\) | −6.41419 | + | 36.3767i | −0.236270 | + | 1.33995i | ||||
\(738\) | 26.5991 | − | 3.47472i | 0.979127 | − | 0.127906i | ||||
\(739\) | −7.56827 | − | 42.9218i | −0.278403 | − | 1.57890i | −0.727939 | − | 0.685642i | \(-0.759522\pi\) |
0.449536 | − | 0.893262i | \(-0.351589\pi\) | |||||||
\(740\) | 3.86537 | − | 4.09705i | 0.142094 | − | 0.150611i | ||||
\(741\) | 0.920672 | + | 0.0473704i | 0.0338217 | + | 0.00174019i | ||||
\(742\) | 82.8585 | + | 41.6131i | 3.04183 | + | 1.52767i | ||||
\(743\) | −8.49641 | + | 5.58817i | −0.311703 | + | 0.205010i | −0.695715 | − | 0.718318i | \(-0.744912\pi\) |
0.384012 | + | 0.923328i | \(0.374542\pi\) | |||||||
\(744\) | 134.995 | − | 41.4129i | 4.94916 | − | 1.51827i | ||||
\(745\) | −6.01987 | − | 1.42674i | −0.220551 | − | 0.0522716i | ||||
\(746\) | −0.151015 | − | 0.0549648i | −0.00552904 | − | 0.00201240i | ||||
\(747\) | 0.559928 | + | 7.79378i | 0.0204867 | + | 0.285159i | ||||
\(748\) | −40.1258 | + | 14.6046i | −1.46714 | + | 0.533997i | ||||
\(749\) | 5.91307 | − | 0.691139i | 0.216059 | − | 0.0252537i | ||||
\(750\) | −36.4607 | − | 42.8594i | −1.33136 | − | 1.56501i | ||||
\(751\) | 11.4749 | + | 12.1627i | 0.418724 | + | 0.443822i | 0.902058 | − | 0.431614i | \(-0.142056\pi\) |
−0.483334 | + | 0.875436i | \(0.660574\pi\) | |||||||
\(752\) | 1.08149 | − | 1.45270i | 0.0394380 | − | 0.0529744i | ||||
\(753\) | −2.56967 | + | 23.3553i | −0.0936439 | + | 0.851114i | ||||
\(754\) | 5.96571 | − | 2.99609i | 0.217258 | − | 0.109111i | ||||
\(755\) | 7.84433 | − | 13.5868i | 0.285485 | − | 0.494474i | ||||
\(756\) | −45.2640 | − | 51.7705i | −1.64623 | − | 1.88287i | ||||
\(757\) | 20.3289 | + | 35.2107i | 0.738867 | + | 1.27975i | 0.953006 | + | 0.302951i | \(0.0979720\pi\) |
−0.214139 | + | 0.976803i | \(0.568695\pi\) | |||||||
\(758\) | 5.51347 | + | 3.62627i | 0.200258 | + | 0.131712i | ||||
\(759\) | 5.32352 | + | 21.8028i | 0.193232 | + | 0.791390i | ||||
\(760\) | −8.43536 | − | 19.5554i | −0.305983 | − | 0.709348i | ||||
\(761\) | −3.90514 | + | 13.0441i | −0.141561 | + | 0.472847i | −0.999138 | − | 0.0415084i | \(-0.986784\pi\) |
0.857577 | + | 0.514356i | \(0.171969\pi\) | |||||||
\(762\) | −37.2881 | + | 45.0543i | −1.35081 | + | 1.63215i | ||||
\(763\) | −9.46052 | + | 21.9320i | −0.342494 | + | 0.793990i | ||||
\(764\) | −60.3933 | − | 50.6760i | −2.18495 | − | 1.83339i | ||||
\(765\) | 12.3977 | − | 0.167901i | 0.448241 | − | 0.00607047i | ||||
\(766\) | 56.4147 | − | 47.3375i | 2.03835 | − | 1.71037i | ||||
\(767\) | 0.461161 | + | 1.54038i | 0.0166515 | + | 0.0556200i | ||||
\(768\) | −8.29850 | − | 3.51317i | −0.299446 | − | 0.126771i | ||||
\(769\) | −2.61200 | − | 44.8463i | −0.0941912 | − | 1.61720i | −0.632574 | − | 0.774500i | \(-0.718002\pi\) |
0.538383 | − | 0.842700i | \(-0.319035\pi\) | |||||||
\(770\) | 2.66354 | + | 45.7312i | 0.0959873 | + | 1.64804i | ||||
\(771\) | 3.86908 | − | 2.92135i | 0.139341 | − | 0.105210i | ||||
\(772\) | 25.6444 | + | 85.6582i | 0.922962 | + | 3.08291i | ||||
\(773\) | 17.8408 | − | 14.9702i | 0.641688 | − | 0.538440i | −0.262848 | − | 0.964837i | \(-0.584662\pi\) |
0.904536 | + | 0.426397i | \(0.140217\pi\) | |||||||
\(774\) | −19.9763 | + | 7.57867i | −0.718033 | + | 0.272409i | ||||
\(775\) | −12.7551 | − | 10.7028i | −0.458175 | − | 0.384454i | ||||
\(776\) | −50.7838 | + | 117.730i | −1.82303 | + | 4.22626i | ||||
\(777\) | −2.66963 | − | 0.452111i | −0.0957723 | − | 0.0162194i | ||||
\(778\) | 8.27338 | − | 27.6350i | 0.296615 | − | 0.990764i | ||||
\(779\) | −1.86593 | − | 4.32570i | −0.0668537 | − | 0.154984i | ||||
\(780\) | 5.85510 | + | 1.70979i | 0.209646 | + | 0.0612203i | ||||
\(781\) | −5.37602 | − | 3.53586i | −0.192369 | − | 0.126523i | ||||
\(782\) | −10.7549 | − | 18.6280i | −0.384594 | − | 0.666137i | ||||
\(783\) | −31.7982 | − | 12.9569i | −1.13638 | − | 0.463040i | ||||
\(784\) | 1.99015 | − | 3.44704i | 0.0710768 | − | 0.123109i | ||||
\(785\) | 6.30268 | − | 3.16533i | 0.224952 | − | 0.112975i | ||||
\(786\) | 62.9771 | − | 27.6729i | 2.24632 | − | 0.987060i | ||||
\(787\) | 1.78098 | − | 2.39227i | 0.0634851 | − | 0.0852753i | −0.769247 | − | 0.638952i | \(-0.779368\pi\) |
0.832732 | + | 0.553677i | \(0.186776\pi\) | |||||||
\(788\) | −32.1951 | − | 34.1249i | −1.14690 | − | 1.21565i | ||||
\(789\) | −2.53072 | + | 0.463925i | −0.0900962 | + | 0.0165162i | ||||
\(790\) | 20.4555 | − | 2.39091i | 0.727775 | − | 0.0850648i | ||||
\(791\) | 23.0503 | − | 8.38962i | 0.819574 | − | 0.298300i | ||||
\(792\) | 63.7506 | + | 65.7643i | 2.26528 | + | 2.33683i | ||||
\(793\) | −2.64967 | − | 0.964401i | −0.0940925 | − | 0.0342469i | ||||
\(794\) | 49.7645 | + | 11.7944i | 1.76608 | + | 0.418568i | ||||
\(795\) | 30.9646 | + | 28.8198i | 1.09820 | + | 1.02213i | ||||
\(796\) | 99.2574 | − | 65.2826i | 3.51808 | − | 2.31388i | ||||
\(797\) | −21.4065 | − | 10.7508i | −0.758258 | − | 0.380811i | 0.0272779 | − | 0.999628i | \(-0.491316\pi\) |
−0.785535 | + | 0.618817i | \(0.787612\pi\) | |||||||
\(798\) | −9.13103 | + | 14.0899i | −0.323235 | + | 0.498779i | ||||
\(799\) | 0.235475 | − | 0.249589i | 0.00833050 | − | 0.00882981i | ||||
\(800\) | 4.55197 | + | 25.8155i | 0.160937 | + | 0.912716i | ||||
\(801\) | −0.427053 | + | 9.56118i | −0.0150892 | + | 0.337828i | ||||
\(802\) | −14.6037 | + | 82.8217i | −0.515675 | + | 2.92454i | ||||
\(803\) | −11.7185 | − | 15.7406i | −0.413536 | − | 0.555475i | ||||
\(804\) | −77.2711 | + | 45.3129i | −2.72514 | + | 1.59806i | ||||
\(805\) | −16.1505 | + | 3.82773i | −0.569229 | + | 0.134910i | ||||
\(806\) | 9.80730 | + | 1.14631i | 0.345447 | + | 0.0403770i | ||||
\(807\) | 6.99650 | − | 14.1696i | 0.246288 | − | 0.498793i | ||||
\(808\) | −6.32657 | + | 108.623i | −0.222568 | + | 3.82135i | ||||
\(809\) | 36.1049 | 1.26938 | 0.634691 | − | 0.772766i | \(-0.281128\pi\) | ||||
0.634691 | + | 0.772766i | \(0.281128\pi\) | |||||||
\(810\) | −18.3539 | − | 39.5670i | −0.644891 | − | 1.39024i | ||||
\(811\) | −41.1368 | −1.44451 | −0.722255 | − | 0.691627i | \(-0.756894\pi\) | ||||
−0.722255 | + | 0.691627i | \(0.756894\pi\) | |||||||
\(812\) | −5.08499 | + | 87.3060i | −0.178448 | + | 3.06384i | ||||
\(813\) | 5.67015 | + | 8.49520i | 0.198861 | + | 0.297940i | ||||
\(814\) | 5.87446 | + | 0.686626i | 0.205900 | + | 0.0240662i | ||||
\(815\) | −42.1136 | + | 9.98111i | −1.47518 | + | 0.349623i | ||||
\(816\) | −41.1832 | − | 23.4068i | −1.44170 | − | 0.819401i | ||||
\(817\) | 2.24065 | + | 3.00972i | 0.0783905 | + | 0.105297i | ||||
\(818\) | 0.424434 | − | 2.40709i | 0.0148400 | − | 0.0841618i | ||||
\(819\) | −0.878900 | − | 2.79729i | −0.0307113 | − | 0.0977452i | ||||
\(820\) | −5.41261 | − | 30.6964i | −0.189017 | − | 1.07197i | ||||
\(821\) | 28.6630 | − | 30.3810i | 1.00035 | − | 1.06031i | 0.00216655 | − | 0.999998i | \(-0.499310\pi\) |
0.998180 | − | 0.0603076i | \(-0.0192082\pi\) | |||||||
\(822\) | −34.1661 | − | 66.8970i | −1.19168 | − | 2.33330i | ||||
\(823\) | 16.6376 | + | 8.35573i | 0.579951 | + | 0.291262i | 0.714490 | − | 0.699646i | \(-0.246659\pi\) |
−0.134539 | + | 0.990908i | \(0.542955\pi\) | |||||||
\(824\) | −95.6175 | + | 62.8886i | −3.33099 | + | 2.19083i | ||||
\(825\) | 2.41951 | − | 10.5258i | 0.0842366 | − | 0.366462i | ||||
\(826\) | −28.4952 | − | 6.75348i | −0.991474 | − | 0.234984i | ||||
\(827\) | 4.62778 | + | 1.68437i | 0.160924 | + | 0.0585714i | 0.421226 | − | 0.906956i | \(-0.361600\pi\) |
−0.260302 | + | 0.965527i | \(0.583822\pi\) | |||||||
\(828\) | −31.9072 | + | 44.0931i | −1.10885 | + | 1.53234i | ||||
\(829\) | 8.59129 | − | 3.12697i | 0.298388 | − | 0.108604i | −0.188488 | − | 0.982076i | \(-0.560359\pi\) |
0.486876 | + | 0.873471i | \(0.338136\pi\) | |||||||
\(830\) | 12.5374 | − | 1.46542i | 0.435181 | − | 0.0508653i | ||||
\(831\) | 2.87762 | − | 8.07593i | 0.0998236 | − | 0.280151i | ||||
\(832\) | −4.42683 | − | 4.69216i | −0.153473 | − | 0.162671i | ||||
\(833\) | 0.450338 | − | 0.604909i | 0.0156033 | − | 0.0209589i | ||||
\(834\) | −61.5240 | − | 45.1587i | −2.13040 | − | 1.56372i | ||||
\(835\) | 20.7488 | − | 10.4204i | 0.718042 | − | 0.360614i | ||||
\(836\) | 13.1901 | − | 22.8460i | 0.456190 | − | 0.790144i | ||||
\(837\) | −28.7639 | − | 41.8561i | −0.994226 | − | 1.44676i | ||||
\(838\) | −16.2817 | − | 28.2008i | −0.562443 | − | 0.974180i | ||||
\(839\) | −30.2548 | − | 19.8989i | −1.04451 | − | 0.686987i | −0.0933368 | − | 0.995635i | \(-0.529753\pi\) |
−0.951177 | + | 0.308647i | \(0.900124\pi\) | |||||||
\(840\) | −48.9539 | + | 46.8162i | −1.68907 | + | 1.61531i | ||||
\(841\) | 5.80927 | + | 13.4674i | 0.200319 | + | 0.464393i | ||||
\(842\) | 23.9887 | − | 80.1280i | 0.826706 | − | 2.76139i | ||||
\(843\) | 8.21151 | + | 22.0943i | 0.282819 | + | 0.760968i | ||||
\(844\) | −52.4267 | + | 121.539i | −1.80460 | + | 4.18353i | ||||
\(845\) | −17.8816 | − | 15.0045i | −0.615147 | − | 0.516170i | ||||
\(846\) | −1.13978 | − | 0.397450i | −0.0391863 | − | 0.0136646i | ||||
\(847\) | −4.74338 | + | 3.98017i | −0.162984 | + | 0.136760i | ||||
\(848\) | −46.3509 | − | 154.823i | −1.59170 | − | 5.31664i | ||||
\(849\) | −2.51561 | − | 20.3278i | −0.0863356 | − | 0.697649i | ||||
\(850\) | 0.601863 | + | 10.3336i | 0.0206437 | + | 0.354439i | ||||
\(851\) | 0.124603 | + | 2.13936i | 0.00427134 | + | 0.0733362i | ||||
\(852\) | −1.91646 | − | 15.4863i | −0.0656568 | − | 0.530551i | ||||
\(853\) | −0.531723 | − | 1.77608i | −0.0182059 | − | 0.0608118i | 0.948404 | − | 0.317065i | \(-0.102697\pi\) |
−0.966610 | + | 0.256253i | \(0.917512\pi\) | |||||||
\(854\) | 39.3396 | − | 33.0099i | 1.34617 | − | 1.12957i | ||||
\(855\) | −5.80061 | + | 5.00270i | −0.198377 | + | 0.171089i | ||||
\(856\) | −14.7303 | − | 12.3602i | −0.503472 | − | 0.422463i | ||||
\(857\) | 0.401127 | − | 0.929918i | 0.0137023 | − | 0.0317654i | −0.911228 | − | 0.411903i | \(-0.864864\pi\) |
0.924930 | + | 0.380138i | \(0.124123\pi\) | |||||||
\(858\) | 2.23127 | + | 6.00356i | 0.0761742 | + | 0.204958i | ||||
\(859\) | −1.68562 | + | 5.63037i | −0.0575126 | + | 0.192106i | −0.981918 | − | 0.189305i | \(-0.939376\pi\) |
0.924406 | + | 0.381411i | \(0.124562\pi\) | |||||||
\(860\) | 9.83314 | + | 22.7958i | 0.335307 | + | 0.777330i | ||||
\(861\) | −10.8287 | + | 10.3559i | −0.369042 | + | 0.352927i | ||||
\(862\) | −30.7901 | − | 20.2510i | −1.04872 | − | 0.689751i | ||||
\(863\) | 13.5850 | + | 23.5299i | 0.462438 | + | 0.800966i | 0.999082 | − | 0.0428431i | \(-0.0136416\pi\) |
−0.536644 | + | 0.843809i | \(0.680308\pi\) | |||||||
\(864\) | −7.66737 | + | 79.5877i | −0.260849 | + | 2.70763i | ||||
\(865\) | 4.62850 | − | 8.01680i | 0.157374 | − | 0.272579i | ||||
\(866\) | 57.9217 | − | 29.0894i | 1.96826 | − | 0.988498i | ||||
\(867\) | 16.5017 | + | 12.1123i | 0.560426 | + | 0.411354i | ||||
\(868\) | −77.2435 | + | 103.756i | −2.62181 | + | 3.52171i | ||||
\(869\) | 10.6743 | + | 11.3141i | 0.362102 | + | 0.383806i | ||||
\(870\) | −18.6180 | + | 52.2507i | −0.631210 | + | 1.77146i | ||||
\(871\) | −3.79356 | + | 0.443404i | −0.128540 | + | 0.0150242i | ||||
\(872\) | 72.4964 | − | 26.3865i | 2.45504 | − | 0.893561i | ||||
\(873\) | 45.8717 | + | 4.73291i | 1.55252 | + | 0.160185i | ||||
\(874\) | 12.4871 | + | 4.54494i | 0.422383 | + | 0.153735i | ||||
\(875\) | 30.5831 | + | 7.24833i | 1.03390 | + | 0.245038i | ||||
\(876\) | 10.6610 | − | 46.3796i | 0.360202 | − | 1.56702i | ||||
\(877\) | −5.06263 | + | 3.32975i | −0.170953 | + | 0.112438i | −0.632102 | − | 0.774885i | \(-0.717808\pi\) |
0.461149 | + | 0.887323i | \(0.347437\pi\) | |||||||
\(878\) | −30.3162 | − | 15.2254i | −1.02312 | − | 0.513832i | ||||
\(879\) | 12.8247 | + | 25.1108i | 0.432568 | + | 0.846965i | ||||
\(880\) | 54.7925 | − | 58.0767i | 1.84706 | − | 1.95777i | ||||
\(881\) | −4.80252 | − | 27.2365i | −0.161801 | − | 0.917620i | −0.952302 | − | 0.305158i | \(-0.901291\pi\) |
0.790500 | − | 0.612461i | \(-0.209821\pi\) | |||||||
\(882\) | −2.58943 | − | 0.576787i | −0.0871907 | − | 0.0194214i | ||||
\(883\) | 8.01388 | − | 45.4489i | 0.269688 | − | 1.52948i | −0.485656 | − | 0.874150i | \(-0.661419\pi\) |
0.755344 | − | 0.655329i | \(-0.227470\pi\) | |||||||
\(884\) | −2.63663 | − | 3.54161i | −0.0886795 | − | 0.119117i | ||||
\(885\) | −11.6152 | − | 6.60159i | −0.390441 | − | 0.221910i | ||||
\(886\) | −66.2763 | + | 15.7078i | −2.22660 | + | 0.527713i | ||||
\(887\) | 10.5012 | + | 1.22741i | 0.352595 | + | 0.0412125i | 0.290547 | − | 0.956861i | \(-0.406163\pi\) |
0.0620480 | + | 0.998073i | \(0.480237\pi\) | |||||||
\(888\) | 4.85515 | + | 7.27413i | 0.162928 | + | 0.244104i | ||||
\(889\) | 1.89939 | − | 32.6113i | 0.0637036 | − | 1.09375i | ||||
\(890\) | 15.4608 | 0.518249 | ||||||||
\(891\) | 15.6927 | − | 28.9648i | 0.525726 | − | 0.970358i | ||||
\(892\) | 20.9048 | 0.699944 | ||||||||
\(893\) | −0.0123259 | + | 0.211628i | −0.000412471 | + | 0.00708186i | ||||
\(894\) | 6.97474 | − | 14.1255i | 0.233270 | − | 0.472428i | ||||
\(895\) | 2.12706 | + | 0.248617i | 0.0710997 | + | 0.00831036i | ||||
\(896\) | 36.9880 | − | 8.76632i | 1.23568 | − | 0.292862i | ||||
\(897\) | −2.00183 | + | 1.17390i | −0.0668393 | + | 0.0391955i | ||||
\(898\) | −5.11621 | − | 6.87226i | −0.170730 | − | 0.229330i | ||||
\(899\) | −11.2154 | + | 63.6058i | −0.374055 | + | 2.12137i | ||||
\(900\) | 23.2444 | − | 12.0707i | 0.774813 | − | 0.402355i | ||||
\(901\) | −5.31714 | − | 30.1550i | −0.177140 | − | 1.00461i | ||||
\(902\) | 22.4602 | − | 23.8065i | 0.747844 | − | 0.792668i | ||||
\(903\) | 6.49019 | − | 10.0149i | 0.215980 | − | 0.333275i | ||||
\(904\) | −70.8024 | − | 35.5583i | −2.35485 | − | 1.18265i | ||||
\(905\) | −17.3745 | + | 11.4274i | −0.577549 | + | 0.379860i | ||||
\(906\) | 29.2433 | + | 27.2177i | 0.971543 | + | 0.904248i | ||||
\(907\) | −6.43308 | − | 1.52467i | −0.213607 | − | 0.0506258i | 0.122419 | − | 0.992479i | \(-0.460935\pi\) |
−0.336026 | + | 0.941853i | \(0.609083\pi\) | |||||||
\(908\) | 102.515 | + | 37.3123i | 3.40207 | + | 1.23825i | ||||
\(909\) | 37.9539 | − | 9.53986i | 1.25885 | − | 0.316417i | ||||
\(910\) | −4.45098 | + | 1.62002i | −0.147549 | + | 0.0537033i | ||||
\(911\) | 9.11498 | − | 1.06539i | 0.301993 | − | 0.0352979i | 0.0362529 | − | 0.999343i | \(-0.488458\pi\) |
0.265740 | + | 0.964045i | \(0.414384\pi\) | |||||||
\(912\) | 28.7851 | − | 5.27681i | 0.953171 | − | 0.174733i | ||||
\(913\) | 6.54242 | + | 6.93456i | 0.216523 | + | 0.229500i | ||||
\(914\) | 3.40014 | − | 4.56718i | 0.112467 | − | 0.151069i | ||||
\(915\) | 21.4494 | − | 9.42512i | 0.709094 | − | 0.311585i | ||||
\(916\) | 55.5108 | − | 27.8786i | 1.83413 | − | 0.921134i | ||||
\(917\) | −19.2114 | + | 33.2752i | −0.634417 | + | 1.09884i | ||||
\(918\) | −6.65561 | + | 30.8630i | −0.219668 | + | 1.01863i | ||||
\(919\) | 7.47487 | + | 12.9469i | 0.246573 | + | 0.427077i | 0.962573 | − | 0.271023i | \(-0.0873621\pi\) |
−0.716000 | + | 0.698101i | \(0.754029\pi\) | |||||||
\(920\) | 44.7910 | + | 29.4595i | 1.47671 | + | 0.971250i | ||||
\(921\) | −41.4808 | − | 12.1131i | −1.36684 | − | 0.399140i | ||||
\(922\) | −24.2500 | − | 56.2178i | −0.798631 | − | 1.85143i | ||||
\(923\) | 0.190821 | − | 0.637387i | 0.00628096 | − | 0.0209799i | ||||
\(924\) | −82.7257 | − | 14.0099i | −2.72147 | − | 0.460892i | ||||
\(925\) | 0.408462 | − | 0.946921i | 0.0134301 | − | 0.0311346i | ||||
\(926\) | −59.1986 | − | 49.6735i | −1.94539 | − | 1.63237i | ||||
\(927\) | 31.8875 | + | 26.0292i | 1.04732 | + | 0.854910i | ||||
\(928\) | 77.8933 | − | 65.3603i | 2.55697 | − | 2.14556i | ||||
\(929\) | 6.64619 | + | 22.1998i | 0.218055 | + | 0.728353i | 0.995097 | + | 0.0989046i | \(0.0315339\pi\) |
−0.777042 | + | 0.629448i | \(0.783281\pi\) | |||||||
\(930\) | −65.4751 | + | 49.4370i | −2.14701 | + | 1.62110i | ||||
\(931\) | 0.0270895 | + | 0.465109i | 0.000887823 | + | 0.0152433i | ||||
\(932\) | −7.18432 | − | 123.350i | −0.235330 | − | 4.04047i | ||||
\(933\) | −13.2289 | − | 5.60045i | −0.433094 | − | 0.183350i | ||||
\(934\) | 1.59945 | + | 5.34253i | 0.0523355 | + | 0.174813i | ||||
\(935\) | 11.5886 | − | 9.72401i | 0.378988 | − | 0.318009i | ||||
\(936\) | −4.62382 | + | 8.26519i | −0.151134 | + | 0.270156i | ||||
\(937\) | 18.9849 | + | 15.9303i | 0.620211 | + | 0.520419i | 0.897870 | − | 0.440261i | \(-0.145114\pi\) |
−0.277659 | + | 0.960680i | \(0.589558\pi\) | |||||||
\(938\) | 27.5516 | − | 63.8718i | 0.899591 | − | 2.08549i | ||||
\(939\) | 6.11179 | − | 7.38472i | 0.199451 | − | 0.240991i | ||||
\(940\) | −0.402269 | + | 1.34367i | −0.0131206 | + | 0.0438258i | ||||
\(941\) | 16.6309 | + | 38.5548i | 0.542152 | + | 1.25685i | 0.940556 | + | 0.339639i | \(0.110305\pi\) |
−0.398404 | + | 0.917210i | \(0.630436\pi\) | |||||||
\(942\) | 4.25996 | + | 17.4469i | 0.138797 | + | 0.568451i | ||||
\(943\) | 9.90789 | + | 6.51652i | 0.322645 | + | 0.212207i | ||||
\(944\) | 25.5214 | + | 44.2044i | 0.830652 | + | 1.43873i | ||||
\(945\) | 21.3418 | + | 11.7503i | 0.694248 | + | 0.382236i | ||||
\(946\) | −13.0341 | + | 22.5757i | −0.423774 | + | 0.733999i | ||||
\(947\) | −4.82594 | + | 2.42368i | −0.156822 | + | 0.0787589i | −0.525479 | − | 0.850807i | \(-0.676114\pi\) |
0.368657 | + | 0.929565i | \(0.379818\pi\) | |||||||
\(948\) | −4.12542 | + | 37.4953i | −0.133988 | + | 1.21779i | ||||
\(949\) | 1.21169 | − | 1.62759i | 0.0393332 | − | 0.0528337i | ||||
\(950\) | −4.38838 | − | 4.65141i | −0.142378 | − | 0.150912i | ||||
\(951\) | 24.7951 | + | 29.1466i | 0.804038 | + | 0.945144i | ||||
\(952\) | 48.7004 | − | 5.69226i | 1.57839 | − | 0.184487i | ||||
\(953\) | −25.1832 | + | 9.16594i | −0.815765 | + | 0.296914i | −0.716003 | − | 0.698097i | \(-0.754030\pi\) |
−0.0997617 | + | 0.995011i | \(0.531808\pi\) | |||||||
\(954\) | −89.1853 | + | 60.4039i | −2.88748 | + | 1.95565i | ||||
\(955\) | 26.2458 | + | 9.55270i | 0.849295 | + | 0.309118i | ||||
\(956\) | −118.378 | − | 28.0560i | −3.82860 | − | 0.907396i | ||||
\(957\) | −40.0519 | + | 12.2869i | −1.29469 | + | 0.397178i | ||||
\(958\) | −48.4794 | + | 31.8854i | −1.56630 | + | 1.03017i | ||||
\(959\) | 37.4945 | + | 18.8305i | 1.21076 | + | 0.608067i | ||||
\(960\) | 53.5285 | + | 2.75415i | 1.72763 | + | 0.0888897i | ||||
\(961\) | −44.2829 | + | 46.9371i | −1.42848 | + | 1.51410i | ||||
\(962\) | 0.106196 | + | 0.602265i | 0.00342388 | + | 0.0194178i | ||||
\(963\) | −2.65307 | + | 6.38697i | −0.0854941 | + | 0.205817i | ||||
\(964\) | −11.2797 | + | 63.9705i | −0.363295 | + | 2.06035i | ||||
\(965\) | −18.9164 | − | 25.4091i | −0.608940 | − | 0.817948i | ||||
\(966\) | −0.286173 | − | 42.2638i | −0.00920748 | − | 1.35982i | ||||
\(967\) | 24.4747 | − | 5.80060i | 0.787052 | − | 0.186535i | 0.182612 | − | 0.983185i | \(-0.441545\pi\) |
0.604441 | + | 0.796650i | \(0.293397\pi\) | |||||||
\(968\) | 19.8649 | + | 2.32187i | 0.638481 | + | 0.0746277i | ||||
\(969\) | 5.53302 | − | 0.359869i | 0.177746 | − | 0.0115606i | ||||
\(970\) | 4.33156 | − | 74.3701i | 0.139078 | − | 2.38788i | ||||
\(971\) | −42.8042 | −1.37365 | −0.686826 | − | 0.726822i | \(-0.740997\pi\) | ||||
−0.686826 | + | 0.726822i | \(0.740997\pi\) | |||||||
\(972\) | 78.1604 | − | 16.5276i | 2.50700 | − | 0.530124i | ||||
\(973\) | 42.6287 | 1.36661 | ||||||||
\(974\) | −0.567798 | + | 9.74872i | −0.0181934 | + | 0.312369i | ||||
\(975\) | 1.11440 | − | 0.0724809i | 0.0356894 | − | 0.00232125i | ||||
\(976\) | −88.9050 | − | 10.3915i | −2.84578 | − | 0.332624i | ||||
\(977\) | −25.9051 | + | 6.13962i | −0.828777 | + | 0.196424i | −0.623047 | − | 0.782185i | \(-0.714105\pi\) |
−0.205731 | + | 0.978609i | \(0.565957\pi\) | |||||||
\(978\) | −0.746220 | − | 110.206i | −0.0238615 | − | 3.52401i | ||||
\(979\) | 6.97316 | + | 9.36657i | 0.222863 | + | 0.299357i | ||||
\(980\) | −0.535285 | + | 3.03575i | −0.0170990 | + | 0.0969735i | ||||
\(981\) | −16.8699 | − | 22.0309i | −0.538614 | − | 0.703394i | ||||
\(982\) | 8.04984 | + | 45.6529i | 0.256881 | + | 1.45684i | ||||
\(983\) | −40.7345 | + | 43.1760i | −1.29923 | + | 1.37710i | −0.415155 | + | 0.909751i | \(0.636273\pi\) |
−0.884073 | + | 0.467350i | \(0.845209\pi\) | |||||||
\(984\) | 48.3323 | + | 2.48679i | 1.54078 | + | 0.0792761i | ||||
\(985\) | 14.8529 | + | 7.45942i | 0.473254 | + | 0.237677i | ||||
\(986\) | 33.5462 | − | 22.0637i | 1.06833 | − | 0.702651i | ||||
\(987\) | 0.644584 | − | 0.197741i | 0.0205173 | − | 0.00629417i | ||||
\(988\) | 2.65420 | + | 0.629057i | 0.0844413 | + | 0.0200130i | ||||
\(989\) | −8.87564 | − | 3.23047i | −0.282229 | − | 0.102723i | ||||
\(990\) | −47.8753 | − | 23.2375i | −1.52158 | − | 0.738535i | ||||
\(991\) | 17.0810 | − | 6.21699i | 0.542597 | − | 0.197489i | −0.0561572 | − | 0.998422i | \(-0.517885\pi\) |
0.598754 | + | 0.800933i | \(0.295663\pi\) | |||||||
\(992\) | 149.380 | − | 17.4600i | 4.74282 | − | 0.554356i | ||||
\(993\) | −3.21329 | − | 3.77721i | −0.101971 | − | 0.119866i | ||||
\(994\) | 8.31553 | + | 8.81395i | 0.263753 | + | 0.279562i | ||||
\(995\) | −25.1334 | + | 33.7601i | −0.796784 | + | 1.07027i | ||||
\(996\) | −2.52852 | + | 22.9813i | −0.0801192 | + | 0.728191i | ||||
\(997\) | 8.66666 | − | 4.35256i | 0.274476 | − | 0.137847i | −0.306237 | − | 0.951955i | \(-0.599070\pi\) |
0.580713 | + | 0.814108i | \(0.302774\pi\) | |||||||
\(998\) | −22.5792 | + | 39.1083i | −0.714731 | + | 1.23795i | ||||
\(999\) | 1.97254 | − | 2.45017i | 0.0624083 | − | 0.0775200i |
(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 | 81.2.g.a.79.8 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.235.1 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.460.8 | 144 | |||
9.4 | even | 3 | 729.2.g.d.703.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.703.1 | 144 | |||
9.7 | even | 3 | 729.2.g.c.460.1 | 144 | |||
81.11 | odd | 54 | 6561.2.a.d.1.70 | 72 | |||
81.13 | even | 27 | 729.2.g.d.28.8 | 144 | |||
81.14 | odd | 54 | 729.2.g.b.271.8 | 144 | |||
81.40 | even | 27 | inner | 81.2.g.a.40.8 | ✓ | 144 | |
81.41 | odd | 54 | 243.2.g.a.91.1 | 144 | |||
81.67 | even | 27 | 729.2.g.c.271.1 | 144 | |||
81.68 | odd | 54 | 729.2.g.a.28.1 | 144 | |||
81.70 | even | 27 | 6561.2.a.c.1.3 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.40.8 | ✓ | 144 | 81.40 | even | 27 | inner | |
81.2.g.a.79.8 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.91.1 | 144 | 81.41 | odd | 54 | |||
243.2.g.a.235.1 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.28.1 | 144 | 81.68 | odd | 54 | |||
729.2.g.a.703.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.271.8 | 144 | 81.14 | odd | 54 | |||
729.2.g.b.460.8 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.271.1 | 144 | 81.67 | even | 27 | |||
729.2.g.c.460.1 | 144 | 9.7 | even | 3 | |||
729.2.g.d.28.8 | 144 | 81.13 | even | 27 | |||
729.2.g.d.703.8 | 144 | 9.4 | even | 3 | |||
6561.2.a.c.1.3 | 72 | 81.70 | even | 27 | |||
6561.2.a.d.1.70 | 72 | 81.11 | odd | 54 |