Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,2,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.255521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{8})\) |
Coefficient field: | 8.0.18939904.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(0.500000 + 2.10607i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 32.5 |
Dual form | 32.2.g.b.13.1 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26330 | − | 0.635665i | −0.893289 | − | 0.449483i | ||||
\(3\) | −1.07947 | − | 2.60607i | −0.623233 | − | 1.50462i | −0.847886 | − | 0.530178i | \(-0.822125\pi\) |
0.224653 | − | 0.974439i | \(-0.427875\pi\) | |||||||
\(4\) | 1.19186 | + | 1.60607i | 0.595930 | + | 0.803037i | ||||
\(5\) | 0.707107 | + | 0.292893i | 0.316228 | + | 0.130986i | 0.535151 | − | 0.844756i | \(-0.320255\pi\) |
−0.218924 | + | 0.975742i | \(0.570255\pi\) | |||||||
\(6\) | −0.292893 | + | 3.97844i | −0.119573 | + | 1.62419i | ||||
\(7\) | 1.68554 | + | 1.68554i | 0.637076 | + | 0.637076i | 0.949833 | − | 0.312757i | \(-0.101253\pi\) |
−0.312757 | + | 0.949833i | \(0.601253\pi\) | |||||||
\(8\) | −0.484753 | − | 2.78658i | −0.171386 | − | 0.985204i | ||||
\(9\) | −3.50504 | + | 3.50504i | −1.16835 | + | 1.16835i | ||||
\(10\) | −0.707107 | − | 0.819496i | −0.223607 | − | 0.259147i | ||||
\(11\) | −0.334743 | + | 0.808140i | −0.100929 | + | 0.243664i | −0.966276 | − | 0.257510i | \(-0.917098\pi\) |
0.865347 | + | 0.501173i | \(0.167098\pi\) | |||||||
\(12\) | 2.89897 | − | 4.83978i | 0.836859 | − | 1.39712i | ||||
\(13\) | 1.09083 | − | 0.451835i | 0.302541 | − | 0.125316i | −0.226249 | − | 0.974070i | \(-0.572646\pi\) |
0.528789 | + | 0.848753i | \(0.322646\pi\) | |||||||
\(14\) | −1.05791 | − | 3.20079i | −0.282738 | − | 0.855447i | ||||
\(15\) | − | 2.15894i | − | 0.557436i | ||||||
\(16\) | −1.15894 | + | 3.82843i | −0.289735 | + | 0.957107i | ||||
\(17\) | − | 0.224777i | − | 0.0545165i | −0.999628 | − | 0.0272583i | \(-0.991322\pi\) | ||
0.999628 | − | 0.0272583i | \(-0.00867765\pi\) | |||||||
\(18\) | 6.65595 | − | 2.19989i | 1.56882 | − | 0.518519i | ||||
\(19\) | −2.87740 | + | 1.19186i | −0.660122 | + | 0.273431i | −0.687490 | − | 0.726194i | \(-0.741287\pi\) |
0.0273681 | + | 0.999625i | \(0.491287\pi\) | |||||||
\(20\) | 0.372364 | + | 1.48475i | 0.0832631 | + | 0.332001i | ||||
\(21\) | 2.57316 | − | 6.21215i | 0.561509 | − | 1.35560i | ||||
\(22\) | 0.936588 | − | 0.808140i | 0.199681 | − | 0.172296i | ||||
\(23\) | −3.68554 | + | 3.68554i | −0.768489 | + | 0.768489i | −0.977840 | − | 0.209351i | \(-0.932865\pi\) |
0.209351 | + | 0.977840i | \(0.432865\pi\) | |||||||
\(24\) | −6.73875 | + | 4.27133i | −1.37554 | + | 0.871882i | ||||
\(25\) | −3.12132 | − | 3.12132i | −0.624264 | − | 0.624264i | ||||
\(26\) | −1.66526 | − | 0.122597i | −0.326584 | − | 0.0240432i | ||||
\(27\) | 5.09976 | + | 2.11239i | 0.981449 | + | 0.406529i | ||||
\(28\) | −0.698175 | + | 4.71604i | −0.131943 | + | 0.891247i | ||||
\(29\) | 2.34610 | + | 5.66398i | 0.435659 | + | 1.05177i | 0.977432 | + | 0.211250i | \(0.0677534\pi\) |
−0.541773 | + | 0.840525i | \(0.682247\pi\) | |||||||
\(30\) | −1.37236 | + | 2.72739i | −0.250558 | + | 0.497952i | ||||
\(31\) | 6.82843 | 1.22642 | 0.613211 | − | 0.789919i | \(-0.289878\pi\) | ||||
0.613211 | + | 0.789919i | \(0.289878\pi\) | |||||||
\(32\) | 3.89769 | − | 4.09976i | 0.689021 | − | 0.724742i | ||||
\(33\) | 2.46742 | 0.429522 | ||||||||
\(34\) | −0.142883 | + | 0.283962i | −0.0245043 | + | 0.0486990i | ||||
\(35\) | 0.698175 | + | 1.68554i | 0.118013 | + | 0.284909i | ||||
\(36\) | −9.80686 | − | 1.45183i | −1.63448 | − | 0.241972i | ||||
\(37\) | −9.87613 | − | 4.09083i | −1.62363 | − | 0.672528i | −0.629129 | − | 0.777301i | \(-0.716588\pi\) |
−0.994496 | + | 0.104773i | \(0.966588\pi\) | |||||||
\(38\) | 4.39265 | + | 0.323388i | 0.712582 | + | 0.0524604i | ||||
\(39\) | −2.35503 | − | 2.35503i | −0.377107 | − | 0.377107i | ||||
\(40\) | 0.473398 | − | 2.11239i | 0.0748508 | − | 0.333998i | ||||
\(41\) | 6.37109 | − | 6.37109i | 0.994997 | − | 0.994997i | −0.00499079 | − | 0.999988i | \(-0.501589\pi\) |
0.999988 | + | 0.00499079i | \(0.00158862\pi\) | |||||||
\(42\) | −7.19951 | + | 6.21215i | −1.11091 | + | 0.958555i | ||||
\(43\) | 1.90790 | − | 4.60607i | 0.290952 | − | 0.702420i | −0.709045 | − | 0.705164i | \(-0.750873\pi\) |
0.999996 | + | 0.00274415i | \(0.000873491\pi\) | |||||||
\(44\) | −1.69690 | + | 0.425569i | −0.255817 | + | 0.0641569i | ||||
\(45\) | −3.50504 | + | 1.45183i | −0.522500 | + | 0.216427i | ||||
\(46\) | 6.99872 | − | 2.31318i | 1.03191 | − | 0.341060i | ||||
\(47\) | − | 0.542661i | − | 0.0791552i | −0.999216 | − | 0.0395776i | \(-0.987399\pi\) | ||
0.999216 | − | 0.0395776i | \(-0.0126012\pi\) | |||||||
\(48\) | 11.2282 | − | 1.11239i | 1.62065 | − | 0.160559i | ||||
\(49\) | − | 1.31788i | − | 0.188269i | ||||||
\(50\) | 1.95905 | + | 5.92728i | 0.277052 | + | 0.838244i | ||||
\(51\) | −0.585786 | + | 0.242641i | −0.0820265 | + | 0.0339765i | ||||
\(52\) | 2.02579 | + | 1.21342i | 0.280927 | + | 0.168271i | ||||
\(53\) | −3.91925 | + | 9.46191i | −0.538351 | + | 1.29969i | 0.387523 | + | 0.921860i | \(0.373331\pi\) |
−0.925873 | + | 0.377834i | \(0.876669\pi\) | |||||||
\(54\) | −5.09976 | − | 5.91032i | −0.693989 | − | 0.804293i | ||||
\(55\) | −0.473398 | + | 0.473398i | −0.0638329 | + | 0.0638329i | ||||
\(56\) | 3.87983 | − | 5.51397i | 0.518464 | − | 0.736835i | ||||
\(57\) | 6.21215 | + | 6.21215i | 0.822819 | + | 0.822819i | ||||
\(58\) | 0.636568 | − | 8.64665i | 0.0835854 | − | 1.13536i | ||||
\(59\) | −3.36524 | − | 1.39393i | −0.438117 | − | 0.181474i | 0.152712 | − | 0.988271i | \(-0.451199\pi\) |
−0.590829 | + | 0.806797i | \(0.701199\pi\) | |||||||
\(60\) | 3.46742 | − | 2.57316i | 0.447642 | − | 0.332193i | ||||
\(61\) | 0.398630 | + | 0.962379i | 0.0510394 | + | 0.123220i | 0.947343 | − | 0.320222i | \(-0.103757\pi\) |
−0.896303 | + | 0.443442i | \(0.853757\pi\) | |||||||
\(62\) | −8.62636 | − | 4.34059i | −1.09555 | − | 0.551256i | ||||
\(63\) | −11.8158 | −1.48865 | ||||||||
\(64\) | −7.53003 | + | 2.70160i | −0.941254 | + | 0.337700i | ||||
\(65\) | 0.903670 | 0.112086 | ||||||||
\(66\) | −3.11709 | − | 1.56845i | −0.383688 | − | 0.193063i | ||||
\(67\) | 1.48105 | + | 3.57558i | 0.180939 | + | 0.436826i | 0.988161 | − | 0.153423i | \(-0.0490296\pi\) |
−0.807221 | + | 0.590249i | \(0.799030\pi\) | |||||||
\(68\) | 0.361009 | − | 0.267903i | 0.0437788 | − | 0.0324880i | ||||
\(69\) | 13.5832 | + | 5.62636i | 1.63523 | + | 0.677334i | ||||
\(70\) | 0.189436 | − | 2.57316i | 0.0226419 | − | 0.307551i | ||||
\(71\) | −5.39978 | − | 5.39978i | −0.640836 | − | 0.640836i | 0.309925 | − | 0.950761i | \(-0.399696\pi\) |
−0.950761 | + | 0.309925i | \(0.899696\pi\) | |||||||
\(72\) | 11.4661 | + | 8.06799i | 1.35130 | + | 0.950821i | ||||
\(73\) | −5.15894 | + | 5.15894i | −0.603808 | + | 0.603808i | −0.941321 | − | 0.337513i | \(-0.890414\pi\) |
0.337513 | + | 0.941321i | \(0.390414\pi\) | |||||||
\(74\) | 9.87613 | + | 11.4459i | 1.14808 | + | 1.33055i | ||||
\(75\) | −4.76501 | + | 11.5038i | −0.550217 | + | 1.32834i | ||||
\(76\) | −5.34367 | − | 3.20079i | −0.612961 | − | 0.367156i | ||||
\(77\) | −1.92638 | + | 0.797933i | −0.219531 | + | 0.0909329i | ||||
\(78\) | 1.47810 | + | 4.47212i | 0.167362 | + | 0.506368i | ||||
\(79\) | − | 8.39218i | − | 0.944194i | −0.881547 | − | 0.472097i | \(-0.843497\pi\) | ||
0.881547 | − | 0.472097i | \(-0.156503\pi\) | |||||||
\(80\) | −1.94082 | + | 2.36766i | −0.216990 | + | 0.264713i | ||||
\(81\) | − | 0.699980i | − | 0.0777755i | ||||||
\(82\) | −12.0985 | + | 3.99872i | −1.33605 | + | 0.441585i | ||||
\(83\) | 11.2180 | − | 4.64665i | 1.23134 | − | 0.510036i | 0.330339 | − | 0.943862i | \(-0.392837\pi\) |
0.900996 | + | 0.433827i | \(0.142837\pi\) | |||||||
\(84\) | 13.0440 | − | 3.27133i | 1.42322 | − | 0.356931i | ||||
\(85\) | 0.0658358 | − | 0.158942i | 0.00714089 | − | 0.0172396i | ||||
\(86\) | −5.33817 | + | 4.60607i | −0.575630 | + | 0.496686i | ||||
\(87\) | 12.2282 | − | 12.2282i | 1.31100 | − | 1.31100i | ||||
\(88\) | 2.41421 | + | 0.541038i | 0.257356 | + | 0.0576749i | ||||
\(89\) | −5.92638 | − | 5.92638i | −0.628195 | − | 0.628195i | 0.319419 | − | 0.947614i | \(-0.396512\pi\) |
−0.947614 | + | 0.319419i | \(0.896512\pi\) | |||||||
\(90\) | 5.35080 | + | 0.393927i | 0.564024 | + | 0.0415235i | ||||
\(91\) | 2.60022 | + | 1.07705i | 0.272577 | + | 0.112905i | ||||
\(92\) | −10.3119 | − | 1.52660i | −1.07509 | − | 0.159159i | ||||
\(93\) | −7.37109 | − | 17.7954i | −0.764346 | − | 1.84529i | ||||
\(94\) | −0.344951 | + | 0.685544i | −0.0355789 | + | 0.0707085i | ||||
\(95\) | −2.38372 | −0.244564 | ||||||||
\(96\) | −14.8917 | − | 5.73210i | −1.51988 | − | 0.585030i | ||||
\(97\) | −4.19951 | −0.426396 | −0.213198 | − | 0.977009i | \(-0.568388\pi\) | ||||
−0.213198 | + | 0.977009i | \(0.568388\pi\) | |||||||
\(98\) | −0.837733 | + | 1.66488i | −0.0846238 | + | 0.168179i | ||||
\(99\) | −1.65928 | − | 4.00585i | −0.166764 | − | 0.402603i | ||||
\(100\) | 1.29289 | − | 8.73324i | 0.129289 | − | 0.873324i | ||||
\(101\) | 4.46191 | + | 1.84819i | 0.443977 | + | 0.183901i | 0.593461 | − | 0.804863i | \(-0.297761\pi\) |
−0.149484 | + | 0.988764i | \(0.547761\pi\) | |||||||
\(102\) | 0.894263 | + | 0.0658358i | 0.0885452 | + | 0.00651871i | ||||
\(103\) | 10.9635 | + | 10.9635i | 1.08027 | + | 1.08027i | 0.996484 | + | 0.0837844i | \(0.0267007\pi\) |
0.0837844 | + | 0.996484i | \(0.473299\pi\) | |||||||
\(104\) | −1.78785 | − | 2.82064i | −0.175313 | − | 0.276587i | ||||
\(105\) | 3.63899 | − | 3.63899i | 0.355129 | − | 0.355129i | ||||
\(106\) | 10.9658 | − | 9.46191i | 1.06509 | − | 0.919022i | ||||
\(107\) | 3.34737 | − | 8.08128i | 0.323603 | − | 0.781246i | −0.675436 | − | 0.737418i | \(-0.736045\pi\) |
0.999039 | − | 0.0438280i | \(-0.0139554\pi\) | |||||||
\(108\) | 2.68554 | + | 10.7083i | 0.258417 | + | 1.03040i | ||||
\(109\) | 8.62086 | − | 3.57088i | 0.825728 | − | 0.342028i | 0.0705180 | − | 0.997511i | \(-0.477535\pi\) |
0.755210 | + | 0.655483i | \(0.227535\pi\) | |||||||
\(110\) | 0.898966 | − | 0.297121i | 0.0857131 | − | 0.0283294i | ||||
\(111\) | 30.1538i | 2.86208i | ||||||||
\(112\) | −8.40643 | + | 4.49954i | −0.794333 | + | 0.425166i | ||||
\(113\) | 2.42429i | 0.228058i | 0.993477 | + | 0.114029i | \(0.0363757\pi\) | ||||
−0.993477 | + | 0.114029i | \(0.963624\pi\) | |||||||
\(114\) | −3.89897 | − | 11.7967i | −0.365172 | − | 1.10486i | ||||
\(115\) | −3.68554 | + | 1.52660i | −0.343679 | + | 0.142356i | ||||
\(116\) | −6.30055 | + | 10.5187i | −0.584991 | + | 0.976634i | ||||
\(117\) | −2.23969 | + | 5.40709i | −0.207059 | + | 0.499885i | ||||
\(118\) | 3.36524 | + | 3.90011i | 0.309795 | + | 0.359035i | ||||
\(119\) | 0.378872 | − | 0.378872i | 0.0347312 | − | 0.0347312i | ||||
\(120\) | −6.01606 | + | 1.04655i | −0.549188 | + | 0.0955368i | ||||
\(121\) | 7.23714 | + | 7.23714i | 0.657921 | + | 0.657921i | ||||
\(122\) | 0.108161 | − | 1.46917i | 0.00979239 | − | 0.133012i | ||||
\(123\) | −23.4809 | − | 9.72612i | −2.11720 | − | 0.876974i | ||||
\(124\) | 8.13853 | + | 10.9670i | 0.730861 | + | 0.984861i | ||||
\(125\) | −2.75736 | − | 6.65685i | −0.246626 | − | 0.595407i | ||||
\(126\) | 14.9269 | + | 7.51089i | 1.32979 | + | 0.669123i | ||||
\(127\) | −2.19266 | −0.194567 | −0.0972836 | − | 0.995257i | \(-0.531015\pi\) | ||||
−0.0972836 | + | 0.995257i | \(0.531015\pi\) | |||||||
\(128\) | 11.2300 | + | 1.37364i | 0.992602 | + | 0.121414i | ||||
\(129\) | −14.0633 | −1.23820 | ||||||||
\(130\) | −1.14161 | − | 0.574431i | −0.100126 | − | 0.0503810i | ||||
\(131\) | 3.16317 | + | 7.63657i | 0.276367 | + | 0.667210i | 0.999729 | − | 0.0232589i | \(-0.00740422\pi\) |
−0.723362 | + | 0.690469i | \(0.757404\pi\) | |||||||
\(132\) | 2.94082 | + | 3.96285i | 0.255965 | + | 0.344922i | ||||
\(133\) | −6.85892 | − | 2.84106i | −0.594744 | − | 0.246351i | ||||
\(134\) | 0.401855 | − | 5.45849i | 0.0347150 | − | 0.471541i | ||||
\(135\) | 2.98737 | + | 2.98737i | 0.257112 | + | 0.257112i | ||||
\(136\) | −0.626360 | + | 0.108961i | −0.0537099 | + | 0.00934337i | ||||
\(137\) | 7.76744 | − | 7.76744i | 0.663617 | − | 0.663617i | −0.292614 | − | 0.956231i | \(-0.594525\pi\) |
0.956231 | + | 0.292614i | \(0.0945250\pi\) | |||||||
\(138\) | −13.5832 | − | 15.7422i | −1.15628 | − | 1.34006i | ||||
\(139\) | 0.357453 | − | 0.862967i | 0.0303188 | − | 0.0731959i | −0.907995 | − | 0.418981i | \(-0.862387\pi\) |
0.938314 | + | 0.345785i | \(0.112387\pi\) | |||||||
\(140\) | −1.87498 | + | 3.13025i | −0.158465 | + | 0.264555i | ||||
\(141\) | −1.41421 | + | 0.585786i | −0.119098 | + | 0.0493321i | ||||
\(142\) | 3.38909 | + | 10.2540i | 0.284406 | + | 0.860496i | ||||
\(143\) | 1.03279i | 0.0863662i | ||||||||
\(144\) | −9.35665 | − | 17.4809i | −0.779721 | − | 1.45674i | ||||
\(145\) | 4.69220i | 0.389666i | ||||||||
\(146\) | 9.79666 | − | 3.23794i | 0.810777 | − | 0.267974i | ||||
\(147\) | −3.43450 | + | 1.42262i | −0.283273 | + | 0.117335i | ||||
\(148\) | −5.20079 | − | 20.7375i | −0.427502 | − | 1.70461i | ||||
\(149\) | 2.34610 | − | 5.66398i | 0.192200 | − | 0.464011i | −0.798175 | − | 0.602426i | \(-0.794201\pi\) |
0.990374 | + | 0.138415i | \(0.0442007\pi\) | |||||||
\(150\) | 13.3322 | − | 11.5038i | 1.08857 | − | 0.939278i | ||||
\(151\) | −8.17083 | + | 8.17083i | −0.664932 | + | 0.664932i | −0.956538 | − | 0.291606i | \(-0.905810\pi\) |
0.291606 | + | 0.956538i | \(0.405810\pi\) | |||||||
\(152\) | 4.71604 | + | 7.44035i | 0.382521 | + | 0.603492i | ||||
\(153\) | 0.787854 | + | 0.787854i | 0.0636942 | + | 0.0636942i | ||||
\(154\) | 2.94082 | + | 0.216503i | 0.236978 | + | 0.0174463i | ||||
\(155\) | 4.82843 | + | 2.00000i | 0.387829 | + | 0.160644i | ||||
\(156\) | 0.975485 | − | 6.58921i | 0.0781013 | − | 0.527559i | ||||
\(157\) | 4.88391 | + | 11.7908i | 0.389779 | + | 0.941009i | 0.989986 | + | 0.141164i | \(0.0450846\pi\) |
−0.600208 | + | 0.799844i | \(0.704915\pi\) | |||||||
\(158\) | −5.33461 | + | 10.6018i | −0.424399 | + | 0.843437i | ||||
\(159\) | 28.8892 | 2.29106 | ||||||||
\(160\) | 3.95687 | − | 1.75736i | 0.312818 | − | 0.138931i | ||||
\(161\) | −12.4243 | −0.979171 | ||||||||
\(162\) | −0.444953 | + | 0.884285i | −0.0349588 | + | 0.0694760i | ||||
\(163\) | 0.753131 | + | 1.81822i | 0.0589898 | + | 0.142414i | 0.950626 | − | 0.310338i | \(-0.100442\pi\) |
−0.891636 | + | 0.452752i | \(0.850442\pi\) | |||||||
\(164\) | 17.8259 | + | 2.63899i | 1.39197 | + | 0.206071i | ||||
\(165\) | 1.74473 | + | 0.722690i | 0.135827 | + | 0.0562613i | ||||
\(166\) | −17.1254 | − | 1.26078i | −1.32919 | − | 0.0978552i | ||||
\(167\) | −15.1630 | − | 15.1630i | −1.17335 | − | 1.17335i | −0.981406 | − | 0.191946i | \(-0.938520\pi\) |
−0.191946 | − | 0.981406i | \(-0.561480\pi\) | |||||||
\(168\) | −18.5580 | − | 4.15894i | −1.43178 | − | 0.320869i | ||||
\(169\) | −8.20664 | + | 8.20664i | −0.631280 | + | 0.631280i | ||||
\(170\) | −0.184204 | + | 0.158942i | −0.0141278 | + | 0.0121903i | ||||
\(171\) | 5.90790 | − | 14.2629i | 0.451788 | − | 1.09071i | ||||
\(172\) | 9.67164 | − | 2.42557i | 0.737455 | − | 0.184948i | ||||
\(173\) | 4.54817 | − | 1.88391i | 0.345791 | − | 0.143231i | −0.203027 | − | 0.979173i | \(-0.565078\pi\) |
0.548818 | + | 0.835942i | \(0.315078\pi\) | |||||||
\(174\) | −23.2209 | + | 7.67486i | −1.76038 | + | 0.581830i | ||||
\(175\) | − | 10.5222i | − | 0.795407i | ||||||
\(176\) | −2.70596 | − | 2.21813i | −0.203969 | − | 0.167198i | ||||
\(177\) | 10.2748i | 0.772298i | ||||||||
\(178\) | 3.71961 | + | 11.2540i | 0.278796 | + | 0.843523i | ||||
\(179\) | 7.27899 | − | 3.01505i | 0.544057 | − | 0.225356i | −0.0936904 | − | 0.995601i | \(-0.529866\pi\) |
0.637747 | + | 0.770246i | \(0.279866\pi\) | |||||||
\(180\) | −6.50927 | − | 3.89897i | −0.485172 | − | 0.290612i | ||||
\(181\) | 6.12132 | − | 14.7782i | 0.454994 | − | 1.09845i | −0.515405 | − | 0.856947i | \(-0.672359\pi\) |
0.970399 | − | 0.241506i | \(-0.0776415\pi\) | |||||||
\(182\) | −2.60022 | − | 3.01351i | −0.192741 | − | 0.223376i | ||||
\(183\) | 2.07772 | − | 2.07772i | 0.153589 | − | 0.153589i | ||||
\(184\) | 12.0566 | + | 8.48348i | 0.888827 | + | 0.625410i | ||||
\(185\) | −5.78530 | − | 5.78530i | −0.425344 | − | 0.425344i | ||||
\(186\) | −2.00000 | + | 27.1665i | −0.146647 | + | 1.99194i | ||||
\(187\) | 0.181652 | + | 0.0752426i | 0.0132837 | + | 0.00550228i | ||||
\(188\) | 0.871553 | − | 0.646775i | 0.0635645 | − | 0.0471709i | ||||
\(189\) | 5.03534 | + | 12.1564i | 0.366267 | + | 0.884247i | ||||
\(190\) | 3.01136 | + | 1.51525i | 0.218467 | + | 0.109928i | ||||
\(191\) | −15.4642 | −1.11895 | −0.559475 | − | 0.828847i | \(-0.688997\pi\) | ||||
−0.559475 | + | 0.828847i | \(0.688997\pi\) | |||||||
\(192\) | 15.1690 | + | 16.7075i | 1.09473 | + | 1.20576i | ||||
\(193\) | 13.2206 | 0.951640 | 0.475820 | − | 0.879543i | \(-0.342151\pi\) | ||||
0.475820 | + | 0.879543i | \(0.342151\pi\) | |||||||
\(194\) | 5.30525 | + | 2.66949i | 0.380895 | + | 0.191658i | ||||
\(195\) | −0.975485 | − | 2.35503i | −0.0698559 | − | 0.168647i | ||||
\(196\) | 2.11662 | − | 1.57073i | 0.151187 | − | 0.112195i | ||||
\(197\) | −0.602992 | − | 0.249768i | −0.0429614 | − | 0.0177952i | 0.361099 | − | 0.932527i | \(-0.382402\pi\) |
−0.404061 | + | 0.914732i | \(0.632402\pi\) | |||||||
\(198\) | −0.450212 | + | 6.11534i | −0.0319952 | + | 0.434598i | ||||
\(199\) | −1.86490 | − | 1.86490i | −0.132199 | − | 0.132199i | 0.637911 | − | 0.770110i | \(-0.279799\pi\) |
−0.770110 | + | 0.637911i | \(0.779799\pi\) | |||||||
\(200\) | −7.18473 | + | 10.2109i | −0.508037 | + | 0.722018i | ||||
\(201\) | 7.71947 | − | 7.71947i | 0.544489 | − | 0.544489i | ||||
\(202\) | −4.46191 | − | 5.17110i | −0.313939 | − | 0.363837i | ||||
\(203\) | −5.59244 | + | 13.5013i | −0.392512 | + | 0.947608i | ||||
\(204\) | −1.08787 | − | 0.651622i | −0.0761664 | − | 0.0456227i | ||||
\(205\) | 6.37109 | − | 2.63899i | 0.444976 | − | 0.184315i | ||||
\(206\) | −6.88110 | − | 20.8194i | −0.479429 | − | 1.45055i | ||||
\(207\) | − | 25.8360i | − | 1.79572i | ||||||
\(208\) | 0.465613 | + | 4.69980i | 0.0322845 | + | 0.325872i | ||||
\(209\) | − | 2.72431i | − | 0.188445i | ||||||
\(210\) | −6.91032 | + | 2.28396i | −0.476857 | + | 0.157608i | ||||
\(211\) | −19.0338 | + | 7.88406i | −1.31034 | + | 0.542761i | −0.924984 | − | 0.380007i | \(-0.875922\pi\) |
−0.385357 | + | 0.922768i | \(0.625922\pi\) | |||||||
\(212\) | −19.8677 | + | 4.98267i | −1.36452 | + | 0.342211i | ||||
\(213\) | −8.24331 | + | 19.9011i | −0.564822 | + | 1.36360i | ||||
\(214\) | −9.36573 | + | 8.08128i | −0.640228 | + | 0.552425i | ||||
\(215\) | 2.69818 | − | 2.69818i | 0.184014 | − | 0.184014i | ||||
\(216\) | 3.41421 | − | 15.2349i | 0.232308 | − | 1.03660i | ||||
\(217\) | 11.5096 | + | 11.5096i | 0.781324 | + | 0.781324i | ||||
\(218\) | −13.1606 | − | 0.968887i | −0.891349 | − | 0.0656213i | ||||
\(219\) | 19.0135 | + | 7.87565i | 1.28481 | + | 0.532187i | ||||
\(220\) | −1.32453 | − | 0.196088i | −0.0893001 | − | 0.0132202i | ||||
\(221\) | −0.101562 | − | 0.245193i | −0.00683182 | − | 0.0164935i | ||||
\(222\) | 19.1677 | − | 38.0934i | 1.28645 | − | 2.55666i | ||||
\(223\) | −17.2119 | −1.15259 | −0.576297 | − | 0.817241i | \(-0.695503\pi\) | ||||
−0.576297 | + | 0.817241i | \(0.695503\pi\) | |||||||
\(224\) | 13.4800 | − | 0.340593i | 0.900674 | − | 0.0227569i | ||||
\(225\) | 21.8807 | 1.45871 | ||||||||
\(226\) | 1.54104 | − | 3.06261i | 0.102508 | − | 0.203722i | ||||
\(227\) | −0.629916 | − | 1.52075i | −0.0418090 | − | 0.100936i | 0.901596 | − | 0.432580i | \(-0.142397\pi\) |
−0.943405 | + | 0.331644i | \(0.892397\pi\) | |||||||
\(228\) | −2.57316 | + | 17.3812i | −0.170411 | + | 1.15110i | ||||
\(229\) | 2.45021 | + | 1.01491i | 0.161915 | + | 0.0670672i | 0.462169 | − | 0.886792i | \(-0.347071\pi\) |
−0.300254 | + | 0.953859i | \(0.597071\pi\) | |||||||
\(230\) | 5.62636 | + | 0.414214i | 0.370991 | + | 0.0273124i | ||||
\(231\) | 4.15894 | + | 4.15894i | 0.273638 | + | 0.273638i | ||||
\(232\) | 14.6458 | − | 9.28321i | 0.961547 | − | 0.609473i | ||||
\(233\) | −10.9475 | + | 10.9475i | −0.717192 | + | 0.717192i | −0.968029 | − | 0.250837i | \(-0.919294\pi\) |
0.250837 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(234\) | 6.26650 | − | 5.40709i | 0.409654 | − | 0.353472i | ||||
\(235\) | 0.158942 | − | 0.383719i | 0.0103682 | − | 0.0250311i | ||||
\(236\) | −1.77214 | − | 7.06618i | −0.115357 | − | 0.459969i | ||||
\(237\) | −21.8706 | + | 9.05911i | −1.42065 | + | 0.588452i | ||||
\(238\) | −0.719466 | + | 0.237794i | −0.0466360 | + | 0.0154139i | ||||
\(239\) | 18.2858i | 1.18281i | 0.806375 | + | 0.591404i | \(0.201426\pi\) | ||||
−0.806375 | + | 0.591404i | \(0.798574\pi\) | |||||||
\(240\) | 8.26535 | + | 2.50209i | 0.533526 | + | 0.161509i | ||||
\(241\) | − | 27.8155i | − | 1.79176i | −0.444300 | − | 0.895878i | \(-0.646548\pi\) | ||
0.444300 | − | 0.895878i | \(-0.353452\pi\) | |||||||
\(242\) | −4.54229 | − | 13.7431i | −0.291989 | − | 0.883439i | ||||
\(243\) | 13.4751 | − | 5.58156i | 0.864426 | − | 0.358057i | ||||
\(244\) | −1.07054 | + | 1.78725i | −0.0685342 | + | 0.114417i | ||||
\(245\) | 0.385999 | − | 0.931884i | 0.0246606 | − | 0.0595359i | ||||
\(246\) | 23.4809 | + | 27.2130i | 1.49709 | + | 1.73504i | ||||
\(247\) | −2.60022 | + | 2.60022i | −0.165448 | + | 0.165448i | ||||
\(248\) | −3.31010 | − | 19.0279i | −0.210191 | − | 1.20828i | ||||
\(249\) | −24.2190 | − | 24.2190i | −1.53482 | − | 1.53482i | ||||
\(250\) | −0.748155 | + | 10.1624i | −0.0473175 | + | 0.642725i | ||||
\(251\) | 9.37694 | + | 3.88406i | 0.591867 | + | 0.245159i | 0.658454 | − | 0.752621i | \(-0.271211\pi\) |
−0.0665866 | + | 0.997781i | \(0.521211\pi\) | |||||||
\(252\) | −14.0828 | − | 18.9770i | −0.887131 | − | 1.19544i | ||||
\(253\) | −1.74473 | − | 4.21215i | −0.109690 | − | 0.264815i | ||||
\(254\) | 2.76999 | + | 1.39380i | 0.173805 | + | 0.0874547i | ||||
\(255\) | −0.485281 | −0.0303895 | ||||||||
\(256\) | −13.3137 | − | 8.87385i | −0.832107 | − | 0.554615i | ||||
\(257\) | 20.0656 | 1.25166 | 0.625828 | − | 0.779961i | \(-0.284761\pi\) | ||||
0.625828 | + | 0.779961i | \(0.284761\pi\) | |||||||
\(258\) | 17.7662 | + | 8.93954i | 1.10607 | + | 0.556551i | ||||
\(259\) | −9.75138 | − | 23.5419i | −0.605921 | − | 1.46282i | ||||
\(260\) | 1.07705 | + | 1.45136i | 0.0667956 | + | 0.0900095i | ||||
\(261\) | −28.0756 | − | 11.6293i | −1.73784 | − | 0.719836i | ||||
\(262\) | 0.858264 | − | 11.6580i | 0.0530237 | − | 0.720234i | ||||
\(263\) | 17.9782 | + | 17.9782i | 1.10858 | + | 1.10858i | 0.993337 | + | 0.115244i | \(0.0367650\pi\) |
0.115244 | + | 0.993337i | \(0.463235\pi\) | |||||||
\(264\) | −1.19609 | − | 6.87565i | −0.0736141 | − | 0.423167i | ||||
\(265\) | −5.54266 | + | 5.54266i | −0.340483 | + | 0.340483i | ||||
\(266\) | 6.85892 | + | 7.94909i | 0.420547 | + | 0.487390i | ||||
\(267\) | −9.04722 | + | 21.8419i | −0.553681 | + | 1.33670i | ||||
\(268\) | −3.97743 | + | 6.64027i | −0.242960 | + | 0.405619i | ||||
\(269\) | −25.6598 | + | 10.6286i | −1.56451 | + | 0.648040i | −0.985865 | − | 0.167543i | \(-0.946417\pi\) |
−0.578641 | + | 0.815582i | \(0.696417\pi\) | |||||||
\(270\) | −1.87498 | − | 5.67291i | −0.114108 | − | 0.345242i | ||||
\(271\) | − | 16.4921i | − | 1.00183i | −0.865498 | − | 0.500913i | \(-0.832998\pi\) | ||
0.865498 | − | 0.500913i | \(-0.167002\pi\) | |||||||
\(272\) | 0.860544 | + | 0.260504i | 0.0521781 | + | 0.0157954i | ||||
\(273\) | − | 7.93901i | − | 0.480491i | ||||||
\(274\) | −14.7501 | + | 4.87512i | −0.891086 | + | 0.294517i | ||||
\(275\) | 3.56730 | − | 1.47763i | 0.215117 | − | 0.0891042i | ||||
\(276\) | 7.15296 | + | 28.5215i | 0.430558 | + | 1.71679i | ||||
\(277\) | −2.31978 | + | 5.60044i | −0.139382 | + | 0.336498i | −0.978121 | − | 0.208035i | \(-0.933293\pi\) |
0.838739 | + | 0.544533i | \(0.183293\pi\) | |||||||
\(278\) | −1.00013 | + | 0.862967i | −0.0599837 | + | 0.0517573i | ||||
\(279\) | −23.9339 | + | 23.9339i | −1.43289 | + | 1.43289i | ||||
\(280\) | 4.35846 | − | 2.76259i | 0.260468 | − | 0.165096i | ||||
\(281\) | 9.80801 | + | 9.80801i | 0.585097 | + | 0.585097i | 0.936299 | − | 0.351203i | \(-0.114227\pi\) |
−0.351203 | + | 0.936299i | \(0.614227\pi\) | |||||||
\(282\) | 2.15894 | + | 0.158942i | 0.128563 | + | 0.00946484i | ||||
\(283\) | 21.3627 | + | 8.84871i | 1.26988 | + | 0.526001i | 0.912928 | − | 0.408121i | \(-0.133816\pi\) |
0.356952 | + | 0.934123i | \(0.383816\pi\) | |||||||
\(284\) | 2.23666 | − | 15.1082i | 0.132721 | − | 0.896508i | ||||
\(285\) | 2.57316 | + | 6.21215i | 0.152421 | + | 0.367976i | ||||
\(286\) | 0.656508 | − | 1.30472i | 0.0388201 | − | 0.0771499i | ||||
\(287\) | 21.4775 | 1.26778 | ||||||||
\(288\) | 0.708254 | + | 28.0314i | 0.0417343 | + | 1.65176i | ||||
\(289\) | 16.9495 | 0.997028 | ||||||||
\(290\) | 2.98267 | − | 5.92766i | 0.175148 | − | 0.348084i | ||||
\(291\) | 4.53325 | + | 10.9442i | 0.265744 | + | 0.641563i | ||||
\(292\) | −14.4344 | − | 2.13690i | −0.844708 | − | 0.125053i | ||||
\(293\) | 20.4415 | + | 8.46715i | 1.19421 | + | 0.494656i | 0.889122 | − | 0.457670i | \(-0.151316\pi\) |
0.305083 | + | 0.952326i | \(0.401316\pi\) | |||||||
\(294\) | 5.24312 | + | 0.385999i | 0.305785 | + | 0.0225119i | ||||
\(295\) | −1.97131 | − | 1.97131i | −0.114774 | − | 0.114774i | ||||
\(296\) | −6.61192 | + | 29.5036i | −0.384310 | + | 1.71486i | ||||
\(297\) | −3.41421 | + | 3.41421i | −0.198113 | + | 0.198113i | ||||
\(298\) | −6.56422 | + | 5.66398i | −0.380255 | + | 0.328106i | ||||
\(299\) | −2.35503 | + | 5.68554i | −0.136195 | + | 0.328803i | ||||
\(300\) | −24.1551 | + | 6.05791i | −1.39460 | + | 0.349753i | ||||
\(301\) | 10.9796 | − | 4.54789i | 0.632853 | − | 0.262136i | ||||
\(302\) | 15.5161 | − | 5.12830i | 0.892852 | − | 0.295101i | ||||
\(303\) | − | 13.6231i | − | 0.782629i | ||||||
\(304\) | −1.22820 | − | 12.3972i | −0.0704424 | − | 0.711030i | ||||
\(305\) | 0.797261i | 0.0456510i | ||||||||
\(306\) | −0.494485 | − | 1.49611i | −0.0282678 | − | 0.0855268i | ||||
\(307\) | −15.6196 | + | 6.46984i | −0.891456 | + | 0.369253i | −0.780929 | − | 0.624620i | \(-0.785254\pi\) |
−0.110527 | + | 0.993873i | \(0.535254\pi\) | |||||||
\(308\) | −3.57751 | − | 2.14288i | −0.203848 | − | 0.122102i | ||||
\(309\) | 16.7369 | − | 40.4066i | 0.952131 | − | 2.29865i | ||||
\(310\) | −4.82843 | − | 5.59587i | −0.274236 | − | 0.317824i | ||||
\(311\) | 7.24929 | − | 7.24929i | 0.411070 | − | 0.411070i | −0.471041 | − | 0.882111i | \(-0.656122\pi\) |
0.882111 | + | 0.471041i | \(0.156122\pi\) | |||||||
\(312\) | −5.42087 | + | 7.70408i | −0.306896 | + | 0.436158i | ||||
\(313\) | −10.1596 | − | 10.1596i | −0.574255 | − | 0.574255i | 0.359059 | − | 0.933315i | \(-0.383098\pi\) |
−0.933315 | + | 0.359059i | \(0.883098\pi\) | |||||||
\(314\) | 1.32515 | − | 17.9999i | 0.0747827 | − | 1.01579i | ||||
\(315\) | −8.35503 | − | 3.46077i | −0.470753 | − | 0.194992i | ||||
\(316\) | 13.4784 | − | 10.0023i | 0.758222 | − | 0.562673i | ||||
\(317\) | −1.34287 | − | 3.24198i | −0.0754233 | − | 0.182088i | 0.881671 | − | 0.471865i | \(-0.156419\pi\) |
−0.957094 | + | 0.289777i | \(0.906419\pi\) | |||||||
\(318\) | −36.4957 | − | 18.3638i | −2.04658 | − | 1.02979i | ||||
\(319\) | −5.36263 | −0.300250 | ||||||||
\(320\) | −6.11582 | − | 0.295173i | −0.341885 | − | 0.0165007i | ||||
\(321\) | −24.6738 | −1.37716 | ||||||||
\(322\) | 15.6956 | + | 7.89769i | 0.874683 | + | 0.440121i | ||||
\(323\) | 0.267903 | + | 0.646775i | 0.0149065 | + | 0.0359875i | ||||
\(324\) | 1.12422 | − | 0.834278i | 0.0624566 | − | 0.0463488i | ||||
\(325\) | −4.81514 | − | 1.99450i | −0.267096 | − | 0.110635i | ||||
\(326\) | 0.204347 | − | 2.77570i | 0.0113178 | − | 0.153732i | ||||
\(327\) | −18.6119 | − | 18.6119i | −1.02924 | − | 1.02924i | ||||
\(328\) | −20.8419 | − | 14.6651i | −1.15080 | − | 0.809746i | ||||
\(329\) | 0.914679 | − | 0.914679i | 0.0504279 | − | 0.0504279i | ||||
\(330\) | −1.74473 | − | 2.02204i | −0.0960441 | − | 0.111310i | ||||
\(331\) | 6.43270 | − | 15.5299i | 0.353573 | − | 0.853601i | −0.642600 | − | 0.766201i | \(-0.722144\pi\) |
0.996173 | − | 0.0873991i | \(-0.0278555\pi\) | |||||||
\(332\) | 20.8331 | + | 12.4788i | 1.14337 | + | 0.684862i | ||||
\(333\) | 48.9547 | − | 20.2777i | 2.68270 | − | 1.11121i | ||||
\(334\) | 9.51687 | + | 28.7941i | 0.520740 | + | 1.57554i | ||||
\(335\) | 2.96211i | 0.161837i | ||||||||
\(336\) | 20.8006 | + | 17.0507i | 1.13477 | + | 0.930189i | ||||
\(337\) | 2.10641i | 0.114743i | 0.998353 | + | 0.0573717i | \(0.0182720\pi\) | ||||
−0.998353 | + | 0.0573717i | \(0.981728\pi\) | |||||||
\(338\) | 15.5841 | − | 5.15078i | 0.847665 | − | 0.280166i | ||||
\(339\) | 6.31788 | − | 2.61695i | 0.343140 | − | 0.142133i | ||||
\(340\) | 0.333739 | − | 0.0836990i | 0.0180995 | − | 0.00453922i | ||||
\(341\) | −2.28577 | + | 5.51833i | −0.123781 | + | 0.298834i | ||||
\(342\) | −16.5299 | + | 14.2629i | −0.893835 | + | 0.771251i | ||||
\(343\) | 14.0202 | − | 14.0202i | 0.757017 | − | 0.757017i | ||||
\(344\) | −13.7600 | − | 3.08370i | −0.741892 | − | 0.166262i | ||||
\(345\) | 7.95687 | + | 7.95687i | 0.428384 | + | 0.428384i | ||||
\(346\) | −6.94324 | − | 0.511162i | −0.373271 | − | 0.0274803i | ||||
\(347\) | −12.3896 | − | 5.13193i | −0.665107 | − | 0.275496i | 0.0244788 | − | 0.999700i | \(-0.492207\pi\) |
−0.689586 | + | 0.724204i | \(0.742207\pi\) | |||||||
\(348\) | 34.2137 | + | 5.06509i | 1.83405 | + | 0.271517i | ||||
\(349\) | 7.52453 | + | 18.1658i | 0.402779 | + | 0.972394i | 0.986988 | + | 0.160791i | \(0.0514045\pi\) |
−0.584210 | + | 0.811603i | \(0.698596\pi\) | |||||||
\(350\) | −6.68862 | + | 13.2928i | −0.357522 | + | 0.710528i | ||||
\(351\) | 6.51740 | 0.347873 | ||||||||
\(352\) | 2.00846 | + | 4.52225i | 0.107051 | + | 0.241036i | ||||
\(353\) | −28.7013 | −1.52762 | −0.763809 | − | 0.645442i | \(-0.776673\pi\) | ||||
−0.763809 | + | 0.645442i | \(0.776673\pi\) | |||||||
\(354\) | 6.53131 | − | 12.9801i | 0.347135 | − | 0.689885i | ||||
\(355\) | −2.23666 | − | 5.39978i | −0.118710 | − | 0.286590i | ||||
\(356\) | 2.45479 | − | 16.5816i | 0.130103 | − | 0.878824i | ||||
\(357\) | −1.39635 | − | 0.578387i | −0.0739027 | − | 0.0306115i | ||||
\(358\) | −11.1121 | − | 0.818076i | −0.587294 | − | 0.0432367i | ||||
\(359\) | 6.39199 | + | 6.39199i | 0.337356 | + | 0.337356i | 0.855372 | − | 0.518015i | \(-0.173329\pi\) |
−0.518015 | + | 0.855372i | \(0.673329\pi\) | |||||||
\(360\) | 5.74473 | + | 9.06328i | 0.302774 | + | 0.477677i | ||||
\(361\) | −6.57611 | + | 6.57611i | −0.346111 | + | 0.346111i | ||||
\(362\) | −17.1270 | + | 14.7782i | −0.900177 | + | 0.776724i | ||||
\(363\) | 11.0482 | − | 26.6728i | 0.579882 | − | 1.39996i | ||||
\(364\) | 1.36928 | + | 5.45984i | 0.0717699 | + | 0.286173i | ||||
\(365\) | −5.15894 | + | 2.13690i | −0.270031 | + | 0.111851i | ||||
\(366\) | −3.94552 | + | 1.30405i | −0.206236 | + | 0.0681639i | ||||
\(367\) | 14.5985i | 0.762038i | 0.924567 | + | 0.381019i | \(0.124427\pi\) | ||||
−0.924567 | + | 0.381019i | \(0.875573\pi\) | |||||||
\(368\) | −9.83851 | − | 18.3812i | −0.512868 | − | 0.958185i | ||||
\(369\) | 44.6618i | 2.32500i | ||||||||
\(370\) | 3.63106 | + | 10.9861i | 0.188770 | + | 0.571140i | ||||
\(371\) | −22.5545 | + | 9.34240i | −1.17097 | + | 0.485033i | ||||
\(372\) | 19.7954 | − | 33.0481i | 1.02634 | − | 1.71346i | ||||
\(373\) | −6.03762 | + | 14.5761i | −0.312616 | + | 0.754722i | 0.686990 | + | 0.726667i | \(0.258932\pi\) |
−0.999606 | + | 0.0280555i | \(0.991068\pi\) | |||||||
\(374\) | −0.181652 | − | 0.210524i | −0.00939299 | − | 0.0108859i | ||||
\(375\) | −14.3718 | + | 14.3718i | −0.742154 | + | 0.742154i | ||||
\(376\) | −1.51217 | + | 0.263056i | −0.0779840 | + | 0.0135661i | ||||
\(377\) | 5.11837 | + | 5.11837i | 0.263609 | + | 0.263609i | ||||
\(378\) | 1.36624 | − | 18.5580i | 0.0702719 | − | 0.954519i | ||||
\(379\) | −5.68312 | − | 2.35403i | −0.291922 | − | 0.120918i | 0.231916 | − | 0.972736i | \(-0.425500\pi\) |
−0.523839 | + | 0.851818i | \(0.675500\pi\) | |||||||
\(380\) | −2.84106 | − | 3.82843i | −0.145743 | − | 0.196394i | ||||
\(381\) | 2.36691 | + | 5.71423i | 0.121261 | + | 0.292749i | ||||
\(382\) | 19.5359 | + | 9.83005i | 0.999545 | + | 0.502949i | ||||
\(383\) | 12.4633 | 0.636843 | 0.318422 | − | 0.947949i | \(-0.396847\pi\) | ||||
0.318422 | + | 0.947949i | \(0.396847\pi\) | |||||||
\(384\) | −8.54266 | − | 30.7490i | −0.435941 | − | 1.56915i | ||||
\(385\) | −1.59587 | −0.0813328 | ||||||||
\(386\) | −16.7016 | − | 8.40388i | −0.850089 | − | 0.427746i | ||||
\(387\) | 9.45721 | + | 22.8317i | 0.480737 | + | 1.16060i | ||||
\(388\) | −5.00523 | − | 6.74473i | −0.254102 | − | 0.342412i | ||||
\(389\) | −14.1298 | − | 5.85275i | −0.716408 | − | 0.296746i | −0.00545476 | − | 0.999985i | \(-0.501736\pi\) |
−0.710953 | + | 0.703239i | \(0.751736\pi\) | |||||||
\(390\) | −0.264679 | + | 3.59519i | −0.0134025 | + | 0.182050i | ||||
\(391\) | 0.828427 | + | 0.828427i | 0.0418954 | + | 0.0418954i | ||||
\(392\) | −3.67238 | + | 0.638848i | −0.185483 | + | 0.0322667i | ||||
\(393\) | 16.4869 | − | 16.4869i | 0.831654 | − | 0.831654i | ||||
\(394\) | 0.602992 | + | 0.698833i | 0.0303783 | + | 0.0352067i | ||||
\(395\) | 2.45801 | − | 5.93416i | 0.123676 | − | 0.298580i | ||||
\(396\) | 4.45606 | − | 7.43933i | 0.223926 | − | 0.373841i | ||||
\(397\) | −25.5736 | + | 10.5929i | −1.28350 | + | 0.531643i | −0.917042 | − | 0.398791i | \(-0.869430\pi\) |
−0.366458 | + | 0.930434i | \(0.619430\pi\) | |||||||
\(398\) | 1.17048 | + | 3.54138i | 0.0586708 | + | 0.177514i | ||||
\(399\) | 20.9417i | 1.04840i | ||||||||
\(400\) | 15.5672 | − | 8.33232i | 0.778359 | − | 0.416616i | ||||
\(401\) | 16.5018i | 0.824062i | 0.911170 | + | 0.412031i | \(0.135180\pi\) | ||||
−0.911170 | + | 0.412031i | \(0.864820\pi\) | |||||||
\(402\) | −14.6590 | + | 4.84501i | −0.731125 | + | 0.241647i | ||||
\(403\) | 7.44862 | − | 3.08532i | 0.371042 | − | 0.153691i | ||||
\(404\) | 2.34965 | + | 9.36894i | 0.116900 | + | 0.466122i | ||||
\(405\) | 0.205019 | − | 0.494961i | 0.0101875 | − | 0.0245948i | ||||
\(406\) | 15.6473 | − | 13.5013i | 0.776561 | − | 0.670060i | ||||
\(407\) | 6.61192 | − | 6.61192i | 0.327741 | − | 0.327741i | ||||
\(408\) | 0.960099 | + | 1.51472i | 0.0475320 | + | 0.0749897i | ||||
\(409\) | 1.28577 | + | 1.28577i | 0.0635771 | + | 0.0635771i | 0.738180 | − | 0.674603i | \(-0.235685\pi\) |
−0.674603 | + | 0.738180i | \(0.735685\pi\) | |||||||
\(410\) | −9.72612 | − | 0.716038i | −0.480339 | − | 0.0353626i | ||||
\(411\) | −28.6272 | − | 11.8578i | −1.41208 | − | 0.584902i | ||||
\(412\) | −4.54124 | + | 30.6752i | −0.223731 | + | 1.51126i | ||||
\(413\) | −3.32273 | − | 8.02178i | −0.163501 | − | 0.394726i | ||||
\(414\) | −16.4230 | + | 32.6386i | −0.807147 | + | 1.60410i | ||||
\(415\) | 9.29329 | 0.456190 | ||||||||
\(416\) | 2.39929 | − | 6.23323i | 0.117635 | − | 0.305609i | ||||
\(417\) | −2.63482 | −0.129028 | ||||||||
\(418\) | −1.73175 | + | 3.44163i | −0.0847027 | + | 0.168335i | ||||
\(419\) | −14.9887 | − | 36.1858i | −0.732244 | − | 1.76779i | −0.634972 | − | 0.772535i | \(-0.718988\pi\) |
−0.0972723 | − | 0.995258i | \(-0.531012\pi\) | |||||||
\(420\) | 10.1817 | + | 1.50732i | 0.496814 | + | 0.0735497i | ||||
\(421\) | 13.6131 | + | 5.63872i | 0.663460 | + | 0.274814i | 0.688894 | − | 0.724862i | \(-0.258097\pi\) |
−0.0254334 | + | 0.999677i | \(0.508097\pi\) | |||||||
\(422\) | 29.0570 | + | 2.13918i | 1.41447 | + | 0.104134i | ||||
\(423\) | 1.90205 | + | 1.90205i | 0.0924807 | + | 0.0924807i | ||||
\(424\) | 28.2662 | + | 6.33461i | 1.37273 | + | 0.307636i | ||||
\(425\) | −0.701602 | + | 0.701602i | −0.0340327 | + | 0.0340327i | ||||
\(426\) | 23.0642 | − | 19.9011i | 1.11747 | − | 0.964212i | ||||
\(427\) | −0.950223 | + | 2.29404i | −0.0459845 | + | 0.111016i | ||||
\(428\) | 16.9687 | − | 4.25562i | 0.820214 | − | 0.205703i | ||||
\(429\) | 2.69152 | − | 1.11487i | 0.129948 | − | 0.0538262i | ||||
\(430\) | −5.12374 | + | 1.69347i | −0.247089 | + | 0.0816665i | ||||
\(431\) | − | 2.85730i | − | 0.137631i | −0.997629 | − | 0.0688156i | \(-0.978078\pi\) | ||
0.997629 | − | 0.0688156i | \(-0.0219220\pi\) | |||||||
\(432\) | −13.9974 | + | 17.0759i | −0.673453 | + | 0.821565i | ||||
\(433\) | − | 22.5174i | − | 1.08212i | −0.840985 | − | 0.541059i | \(-0.818024\pi\) | ||
0.840985 | − | 0.541059i | \(-0.181976\pi\) | |||||||
\(434\) | −7.22385 | − | 21.8564i | −0.346756 | − | 1.04914i | ||||
\(435\) | 12.2282 | − | 5.06509i | 0.586298 | − | 0.242852i | ||||
\(436\) | 16.0099 | + | 9.58974i | 0.766737 | + | 0.459265i | ||||
\(437\) | 6.21215 | − | 14.9974i | 0.297167 | − | 0.717425i | ||||
\(438\) | −19.0135 | − | 22.0355i | −0.908500 | − | 1.05290i | ||||
\(439\) | −8.87727 | + | 8.87727i | −0.423689 | + | 0.423689i | −0.886472 | − | 0.462783i | \(-0.846851\pi\) |
0.462783 | + | 0.886472i | \(0.346851\pi\) | |||||||
\(440\) | 1.54864 | + | 1.08968i | 0.0738285 | + | 0.0519484i | ||||
\(441\) | 4.61923 | + | 4.61923i | 0.219963 | + | 0.219963i | ||||
\(442\) | −0.0275569 | + | 0.374312i | −0.00131075 | + | 0.0178042i | ||||
\(443\) | −23.7377 | − | 9.83247i | −1.12781 | − | 0.467155i | −0.260775 | − | 0.965400i | \(-0.583978\pi\) |
−0.867036 | + | 0.498245i | \(0.833978\pi\) | |||||||
\(444\) | −48.4293 | + | 35.9391i | −2.29835 | + | 1.70560i | ||||
\(445\) | −2.45479 | − | 5.92638i | −0.116368 | − | 0.280937i | ||||
\(446\) | 21.7438 | + | 10.9410i | 1.02960 | + | 0.518071i | ||||
\(447\) | −17.2933 | −0.817945 | ||||||||
\(448\) | −17.2459 | − | 8.13853i | −0.814791 | − | 0.384509i | ||||
\(449\) | 8.83528 | 0.416963 | 0.208481 | − | 0.978026i | \(-0.433148\pi\) | ||||
0.208481 | + | 0.978026i | \(0.433148\pi\) | |||||||
\(450\) | −27.6419 | − | 13.9088i | −1.30305 | − | 0.655667i | ||||
\(451\) | 3.01606 | + | 7.28141i | 0.142021 | + | 0.342868i | ||||
\(452\) | −3.89359 | + | 2.88942i | −0.183139 | + | 0.135907i | ||||
\(453\) | 30.1139 | + | 12.4736i | 1.41488 | + | 0.586061i | ||||
\(454\) | −0.170915 | + | 2.32158i | −0.00802145 | + | 0.108957i | ||||
\(455\) | 1.52318 | + | 1.52318i | 0.0714075 | + | 0.0714075i | ||||
\(456\) | 14.2993 | − | 20.3220i | 0.669625 | − | 0.951664i | ||||
\(457\) | 7.58808 | − | 7.58808i | 0.354955 | − | 0.354955i | −0.506994 | − | 0.861950i | \(-0.669243\pi\) |
0.861950 | + | 0.506994i | \(0.169243\pi\) | |||||||
\(458\) | −2.45021 | − | 2.83965i | −0.114491 | − | 0.132688i | ||||
\(459\) | 0.474817 | − | 1.14631i | 0.0221626 | − | 0.0535052i | ||||
\(460\) | −6.84449 | − | 4.09976i | −0.319126 | − | 0.191152i | ||||
\(461\) | 15.2534 | − | 6.31816i | 0.710421 | − | 0.294266i | 0.00194197 | − | 0.999998i | \(-0.499382\pi\) |
0.708479 | + | 0.705732i | \(0.249382\pi\) | |||||||
\(462\) | −2.61030 | − | 7.89769i | −0.121442 | − | 0.367434i | ||||
\(463\) | 18.7996i | 0.873689i | 0.899537 | + | 0.436845i | \(0.143904\pi\) | ||||
−0.899537 | + | 0.436845i | \(0.856096\pi\) | |||||||
\(464\) | −24.4031 | + | 2.41764i | −1.13289 | + | 0.112236i | ||||
\(465\) | − | 14.7422i | − | 0.683652i | ||||||
\(466\) | 20.7889 | − | 6.87102i | 0.963026 | − | 0.318294i | ||||
\(467\) | 9.28999 | − | 3.84804i | 0.429890 | − | 0.178066i | −0.157238 | − | 0.987561i | \(-0.550259\pi\) |
0.587127 | + | 0.809495i | \(0.300259\pi\) | |||||||
\(468\) | −11.3536 | + | 2.84738i | −0.524819 | + | 0.131620i | ||||
\(469\) | −3.53041 | + | 8.52318i | −0.163019 | + | 0.393564i | ||||
\(470\) | −0.444708 | + | 0.383719i | −0.0205129 | + | 0.0176996i | ||||
\(471\) | 25.4557 | − | 25.4557i | 1.17293 | − | 1.17293i | ||||
\(472\) | −2.25298 | + | 10.0532i | −0.103702 | + | 0.462736i | ||||
\(473\) | 3.08370 | + | 3.08370i | 0.141789 | + | 0.141789i | ||||
\(474\) | 33.3877 | + | 2.45801i | 1.53355 | + | 0.112900i | ||||
\(475\) | 12.7015 | + | 5.26112i | 0.582784 | + | 0.241397i | ||||
\(476\) | 1.06006 | + | 0.156934i | 0.0485877 | + | 0.00719306i | ||||
\(477\) | −19.4272 | − | 46.9015i | −0.889512 | − | 2.14747i | ||||
\(478\) | 11.6236 | − | 23.1004i | 0.531652 | − | 1.05659i | ||||
\(479\) | −14.7779 | −0.675220 | −0.337610 | − | 0.941286i | \(-0.609618\pi\) | ||||
−0.337610 | + | 0.941286i | \(0.609618\pi\) | |||||||
\(480\) | −8.85114 | − | 8.41489i | −0.403997 | − | 0.384085i | ||||
\(481\) | −12.6215 | −0.575491 | ||||||||
\(482\) | −17.6814 | + | 35.1394i | −0.805364 | + | 1.60056i | ||||
\(483\) | 13.4117 | + | 32.3786i | 0.610252 | + | 1.47328i | ||||
\(484\) | −2.99772 | + | 20.2490i | −0.136260 | + | 0.920410i | ||||
\(485\) | −2.96951 | − | 1.23001i | −0.134838 | − | 0.0558519i | ||||
\(486\) | −20.5711 | − | 1.51445i | −0.933123 | − | 0.0686967i | ||||
\(487\) | 13.0855 | + | 13.0855i | 0.592961 | + | 0.592961i | 0.938430 | − | 0.345469i | \(-0.112280\pi\) |
−0.345469 | + | 0.938430i | \(0.612280\pi\) | |||||||
\(488\) | 2.48851 | − | 1.57733i | 0.112649 | − | 0.0714024i | ||||
\(489\) | 3.92543 | − | 3.92543i | 0.177514 | − | 0.177514i | ||||
\(490\) | −1.08000 | + | 0.931884i | −0.0487894 | + | 0.0420982i | ||||
\(491\) | −11.7944 | + | 28.4741i | −0.532273 | + | 1.28502i | 0.397742 | + | 0.917497i | \(0.369794\pi\) |
−0.930015 | + | 0.367523i | \(0.880206\pi\) | |||||||
\(492\) | −12.3651 | − | 49.3042i | −0.557462 | − | 2.22281i | ||||
\(493\) | 1.27314 | − | 0.527350i | 0.0573391 | − | 0.0237506i | ||||
\(494\) | 4.93773 | − | 1.63199i | 0.222159 | − | 0.0734268i | ||||
\(495\) | − | 3.31856i | − | 0.149158i | ||||||
\(496\) | −7.91375 | + | 26.1421i | −0.355338 | + | 1.17382i | ||||
\(497\) | − | 18.2031i | − | 0.816522i | ||||||
\(498\) | 15.2007 | + | 45.9911i | 0.681160 | + | 2.06091i | ||||
\(499\) | 22.4253 | − | 9.28886i | 1.00389 | − | 0.415827i | 0.180670 | − | 0.983544i | \(-0.442173\pi\) |
0.823224 | + | 0.567717i | \(0.192173\pi\) | |||||||
\(500\) | 7.40501 | − | 12.3626i | 0.331162 | − | 0.552870i | ||||
\(501\) | −23.1479 | + | 55.8841i | −1.03417 | + | 2.49672i | ||||
\(502\) | −9.37694 | − | 10.8673i | −0.418513 | − | 0.485032i | ||||
\(503\) | 23.5062 | − | 23.5062i | 1.04809 | − | 1.04809i | 0.0493053 | − | 0.998784i | \(-0.484299\pi\) |
0.998784 | − | 0.0493053i | \(-0.0157007\pi\) | |||||||
\(504\) | 5.72774 | + | 32.9256i | 0.255134 | + | 1.46662i | ||||
\(505\) | 2.61373 | + | 2.61373i | 0.116309 | + | 0.116309i | ||||
\(506\) | −0.473398 | + | 6.43027i | −0.0210451 | + | 0.285860i | ||||
\(507\) | 30.2459 | + | 12.5283i | 1.34327 | + | 0.556400i | ||||
\(508\) | −2.61334 | − | 3.52157i | −0.115948 | − | 0.156245i | ||||
\(509\) | −13.1651 | − | 31.7834i | −0.583534 | − | 1.40877i | −0.889589 | − | 0.456761i | \(-0.849009\pi\) |
0.306056 | − | 0.952014i | \(-0.400991\pi\) | |||||||
\(510\) | 0.613057 | + | 0.308476i | 0.0271466 | + | 0.0136596i | ||||
\(511\) | −17.3912 | −0.769343 | ||||||||
\(512\) | 11.1784 | + | 19.6734i | 0.494021 | + | 0.869450i | ||||
\(513\) | −17.1917 | −0.759033 | ||||||||
\(514\) | −25.3489 | − | 12.7550i | −1.11809 | − | 0.562598i | ||||
\(515\) | 4.54124 | + | 10.9635i | 0.200111 | + | 0.483111i | ||||
\(516\) | −16.7615 | − | 22.5867i | −0.737882 | − | 0.994322i | ||||
\(517\) | 0.438546 | + | 0.181652i | 0.0192872 | + | 0.00798903i | ||||
\(518\) | −2.64585 | + | 35.9391i | −0.116252 | + | 1.57908i | ||||
\(519\) | −9.81922 | − | 9.81922i | −0.431016 | − | 0.431016i | ||||
\(520\) | −0.438056 | − | 2.51815i | −0.0192100 | − | 0.110428i | ||||
\(521\) | −10.8936 | + | 10.8936i | −0.477257 | + | 0.477257i | −0.904253 | − | 0.426996i | \(-0.859572\pi\) |
0.426996 | + | 0.904253i | \(0.359572\pi\) | |||||||
\(522\) | 28.0756 | + | 32.5380i | 1.22884 | + | 1.42415i | ||||
\(523\) | −6.48657 | + | 15.6600i | −0.283638 | + | 0.684763i | −0.999915 | − | 0.0130536i | \(-0.995845\pi\) |
0.716277 | + | 0.697816i | \(0.245845\pi\) | |||||||
\(524\) | −8.49483 | + | 14.1820i | −0.371098 | + | 0.619543i | ||||
\(525\) | −27.4217 | + | 11.3585i | −1.19678 | + | 0.495724i | ||||
\(526\) | −11.2837 | − | 34.1399i | −0.491995 | − | 1.48857i | ||||
\(527\) | − | 1.53488i | − | 0.0668603i | ||||||
\(528\) | −2.85959 | + | 9.44633i | −0.124448 | + | 0.411099i | ||||
\(529\) | − | 4.16647i | − | 0.181151i | ||||||
\(530\) | 10.5253 | − | 3.47877i | 0.457191 | − | 0.151108i | ||||
\(531\) | 16.6811 | − | 6.90952i | 0.723896 | − | 0.299848i | ||||
\(532\) | −3.61192 | − | 14.4021i | −0.156597 | − | 0.624409i | ||||
\(533\) | 4.07107 | − | 9.82843i | 0.176338 | − | 0.425716i | ||||
\(534\) | 25.3135 | − | 21.8419i | 1.09542 | − | 0.945193i | ||||
\(535\) | 4.73390 | − | 4.73390i | 0.204664 | − | 0.204664i | ||||
\(536\) | 9.24568 | − | 5.86034i | 0.399353 | − | 0.253128i | ||||
\(537\) | −15.7149 | − | 15.7149i | −0.678148 | − | 0.678148i | ||||
\(538\) | 39.1723 | + | 2.88387i | 1.68884 | + | 0.124333i | ||||
\(539\) | 1.06503 | + | 0.441152i | 0.0458743 | + | 0.0190018i | ||||
\(540\) | −1.23741 | + | 8.35846i | −0.0532496 | + | 0.359691i | ||||
\(541\) | 1.10183 | + | 2.66006i | 0.0473716 | + | 0.114365i | 0.945794 | − | 0.324767i | \(-0.105286\pi\) |
−0.898422 | + | 0.439132i | \(0.855286\pi\) | |||||||
\(542\) | −10.4835 | + | 20.8345i | −0.450304 | + | 0.894920i | ||||
\(543\) | −45.1208 | −1.93632 | ||||||||
\(544\) | −0.921533 | − | 0.876113i | −0.0395104 | − | 0.0375630i | ||||
\(545\) | 7.14175 | 0.305919 | ||||||||
\(546\) | −5.04655 | + | 10.0294i | −0.215973 | + | 0.429217i | ||||
\(547\) | 10.4159 | + | 25.1462i | 0.445351 | + | 1.07517i | 0.974044 | + | 0.226360i | \(0.0726825\pi\) |
−0.528693 | + | 0.848813i | \(0.677318\pi\) | |||||||
\(548\) | 21.7328 | + | 3.21738i | 0.928378 | + | 0.137440i | ||||
\(549\) | −4.77039 | − | 1.97596i | −0.203595 | − | 0.0843319i | ||||
\(550\) | −5.44586 | − | 0.400925i | −0.232212 | − | 0.0170955i | ||||
\(551\) | −13.5013 | − | 13.5013i | −0.575176 | − | 0.575176i | ||||
\(552\) | 9.09378 | − | 40.5781i | 0.387057 | − | 1.72712i | ||||
\(553\) | 14.1454 | − | 14.1454i | 0.601523 | − | 0.601523i | ||||
\(554\) | 6.49058 | − | 5.60044i | 0.275758 | − | 0.237940i | ||||
\(555\) | −8.83185 | + | 21.3220i | −0.374891 | + | 0.905068i | ||||
\(556\) | 1.81202 | − | 0.454441i | 0.0768469 | − | 0.0192726i | ||||
\(557\) | 26.4367 | − | 10.9504i | 1.12016 | − | 0.463984i | 0.255733 | − | 0.966748i | \(-0.417683\pi\) |
0.864424 | + | 0.502763i | \(0.167683\pi\) | |||||||
\(558\) | 45.4497 | − | 15.0218i | 1.92404 | − | 0.635923i | ||||
\(559\) | − | 5.88648i | − | 0.248972i | ||||||
\(560\) | −7.26213 | + | 0.719466i | −0.306881 | + | 0.0304030i | ||||
\(561\) | − | 0.554620i | − | 0.0234161i | ||||||
\(562\) | −6.15586 | − | 18.6251i | −0.259669 | − | 0.785652i | ||||
\(563\) | −22.9131 | + | 9.49093i | −0.965673 | + | 0.399995i | −0.809100 | − | 0.587671i | \(-0.800045\pi\) |
−0.156574 | + | 0.987666i | \(0.550045\pi\) | |||||||
\(564\) | −2.62636 | − | 1.57316i | −0.110590 | − | 0.0662418i | ||||
\(565\) | −0.710059 | + | 1.71423i | −0.0298724 | + | 0.0721184i | ||||
\(566\) | −21.3627 | − | 24.7581i | −0.897941 | − | 1.04066i | ||||
\(567\) | 1.17985 | − | 1.17985i | 0.0495489 | − | 0.0495489i | ||||
\(568\) | −12.4293 | + | 17.6645i | −0.521524 | + | 0.741184i | ||||
\(569\) | 12.2981 | + | 12.2981i | 0.515565 | + | 0.515565i | 0.916226 | − | 0.400661i | \(-0.131220\pi\) |
−0.400661 | + | 0.916226i | \(0.631220\pi\) | |||||||
\(570\) | 0.698175 | − | 9.48348i | 0.0292433 | − | 0.397219i | ||||
\(571\) | 4.93839 | + | 2.04555i | 0.206665 | + | 0.0856036i | 0.483615 | − | 0.875281i | \(-0.339324\pi\) |
−0.276950 | + | 0.960884i | \(0.589324\pi\) | |||||||
\(572\) | −1.65873 | + | 1.23094i | −0.0693552 | + | 0.0514682i | ||||
\(573\) | 16.6931 | + | 40.3008i | 0.697366 | + | 1.68359i | ||||
\(574\) | −27.1325 | − | 13.6525i | −1.13249 | − | 0.569844i | ||||
\(575\) | 23.0075 | 0.959480 | ||||||||
\(576\) | 16.9238 | − | 35.8623i | 0.705159 | − | 1.49426i | ||||
\(577\) | 2.06423 | 0.0859352 | 0.0429676 | − | 0.999076i | \(-0.486319\pi\) | ||||
0.0429676 | + | 0.999076i | \(0.486319\pi\) | |||||||
\(578\) | −21.4123 | − | 10.7742i | −0.890634 | − | 0.448147i | ||||
\(579\) | −14.2713 | − | 34.4539i | −0.593093 | − | 1.43185i | ||||
\(580\) | −7.53601 | + | 5.59244i | −0.312916 | + | 0.232213i | ||||
\(581\) | 26.7406 | + | 11.0763i | 1.10939 | + | 0.459522i | ||||
\(582\) | 1.23001 | − | 16.7075i | 0.0509855 | − | 0.692548i | ||||
\(583\) | −6.33461 | − | 6.33461i | −0.262353 | − | 0.262353i | ||||
\(584\) | 16.8766 | + | 11.8750i | 0.698359 | + | 0.491390i | ||||
\(585\) | −3.16740 | + | 3.16740i | −0.130956 | + | 0.130956i | ||||
\(586\) | −20.4415 | − | 23.6905i | −0.844431 | − | 0.978646i | ||||
\(587\) | 8.74223 | − | 21.1056i | 0.360830 | − | 0.871122i | −0.634349 | − | 0.773047i | \(-0.718732\pi\) |
0.995179 | − | 0.0980746i | \(-0.0312684\pi\) | |||||||
\(588\) | −6.37827 | − | 3.82050i | −0.263035 | − | 0.157555i | ||||
\(589\) | −19.6481 | + | 8.13853i | −0.809588 | + | 0.335342i | ||||
\(590\) | 1.23727 | + | 3.74345i | 0.0509374 | + | 0.154115i | ||||
\(591\) | 1.84106i | 0.0757310i | ||||||||
\(592\) | 27.1073 | − | 33.0690i | 1.11410 | − | 1.35913i | ||||
\(593\) | 24.2771i | 0.996939i | 0.866907 | + | 0.498470i | \(0.166104\pi\) | ||||
−0.866907 | + | 0.498470i | \(0.833896\pi\) | |||||||
\(594\) | 6.48348 | − | 2.14288i | 0.266020 | − | 0.0879236i | ||||
\(595\) | 0.378872 | − | 0.156934i | 0.0155322 | − | 0.00643367i | ||||
\(596\) | 11.8930 | − | 2.98267i | 0.487156 | − | 0.122175i | ||||
\(597\) | −2.84696 | + | 6.87318i | −0.116518 | + | 0.281300i | ||||
\(598\) | 6.58921 | − | 5.68554i | 0.269453 | − | 0.232499i | ||||
\(599\) | −33.3626 | + | 33.3626i | −1.36316 | + | 1.36316i | −0.493295 | + | 0.869862i | \(0.664208\pi\) |
−0.869862 | + | 0.493295i | \(0.835792\pi\) | |||||||
\(600\) | 34.3660 | + | 7.70160i | 1.40299 | + | 0.314417i | ||||
\(601\) | −21.0676 | − | 21.0676i | −0.859365 | − | 0.859365i | 0.131898 | − | 0.991263i | \(-0.457893\pi\) |
−0.991263 | + | 0.131898i | \(0.957893\pi\) | |||||||
\(602\) | −16.7615 | − | 1.23398i | −0.683146 | − | 0.0502933i | ||||
\(603\) | −17.7237 | − | 7.34139i | −0.721765 | − | 0.298965i | ||||
\(604\) | −22.8614 | − | 3.38447i | −0.930218 | − | 0.137712i | ||||
\(605\) | 2.99772 | + | 7.23714i | 0.121875 | + | 0.294231i | ||||
\(606\) | −8.65975 | + | 17.2101i | −0.351778 | + | 0.699113i | ||||
\(607\) | 3.82750 | 0.155353 | 0.0776767 | − | 0.996979i | \(-0.475250\pi\) | ||||
0.0776767 | + | 0.996979i | \(0.475250\pi\) | |||||||
\(608\) | −6.32889 | + | 16.4422i | −0.256670 | + | 0.666817i | ||||
\(609\) | 41.2224 | 1.67041 | ||||||||
\(610\) | 0.506791 | − | 1.00718i | 0.0205194 | − | 0.0407795i | ||||
\(611\) | −0.245193 | − | 0.591948i | −0.00991945 | − | 0.0239477i | ||||
\(612\) | −0.326340 | + | 2.20436i | −0.0131915 | + | 0.0891060i | ||||
\(613\) | −29.0883 | − | 12.0488i | −1.17486 | − | 0.486645i | −0.292067 | − | 0.956398i | \(-0.594343\pi\) |
−0.882798 | + | 0.469753i | \(0.844343\pi\) | |||||||
\(614\) | 23.8449 | + | 1.75546i | 0.962301 | + | 0.0708448i | ||||
\(615\) | −13.7548 | − | 13.7548i | −0.554647 | − | 0.554647i | ||||
\(616\) | 3.15732 | + | 4.98121i | 0.127212 | + | 0.200699i | ||||
\(617\) | 22.2479 | − | 22.2479i | 0.895666 | − | 0.895666i | −0.0993836 | − | 0.995049i | \(-0.531687\pi\) |
0.995049 | + | 0.0993836i | \(0.0316871\pi\) | |||||||
\(618\) | −46.8288 | + | 40.4066i | −1.88373 | + | 1.62539i | ||||
\(619\) | 2.70650 | − | 6.53408i | 0.108784 | − | 0.262627i | −0.860108 | − | 0.510112i | \(-0.829604\pi\) |
0.968892 | + | 0.247485i | \(0.0796041\pi\) | |||||||
\(620\) | 2.54266 | + | 10.1385i | 0.102116 | + | 0.407173i | ||||
\(621\) | −26.5807 | + | 11.0101i | −1.06665 | + | 0.441819i | ||||
\(622\) | −13.7662 | + | 4.54992i | −0.551973 | + | 0.182435i | ||||
\(623\) | − | 19.9783i | − | 0.800416i | ||||||
\(624\) | 11.7454 | − | 6.28672i | 0.470192 | − | 0.251670i | ||||
\(625\) | 16.5563i | 0.662254i | ||||||||
\(626\) | 6.37654 | + | 19.2928i | 0.254858 | + | 0.771094i | ||||
\(627\) | −7.09976 | + | 2.94082i | −0.283537 | + | 0.117445i | ||||
\(628\) | −13.1160 | + | 21.8969i | −0.523384 | + | 0.873782i | ||||
\(629\) | −0.919525 | + | 2.21993i | −0.0366639 | + | 0.0885144i | ||||
\(630\) | 8.35503 | + | 9.68299i | 0.332872 | + | 0.385780i | ||||
\(631\) | 1.24929 | − | 1.24929i | 0.0497335 | − | 0.0497335i | −0.681803 | − | 0.731536i | \(-0.738804\pi\) |
0.731536 | + | 0.681803i | \(0.238804\pi\) | |||||||
\(632\) | −23.3854 | + | 4.06813i | −0.930223 | + | 0.161822i | ||||
\(633\) | 41.0928 | + | 41.0928i | 1.63329 | + | 1.63329i | ||||
\(634\) | −0.364362 | + | 4.94922i | −0.0144707 | + | 0.196559i | ||||
\(635\) | −1.55045 | − | 0.642215i | −0.0615275 | − | 0.0254855i | ||||
\(636\) | 34.4318 | + | 46.3981i | 1.36531 | + | 1.83980i | ||||
\(637\) | −0.595466 | − | 1.43758i | −0.0235932 | − | 0.0569590i | ||||
\(638\) | 6.77462 | + | 3.40884i | 0.268210 | + | 0.134957i | ||||
\(639\) | 37.8529 | 1.49744 | ||||||||
\(640\) | 7.53849 | + | 4.26050i | 0.297985 | + | 0.168411i | ||||
\(641\) | 11.2362 | 0.443802 | 0.221901 | − | 0.975069i | \(-0.428774\pi\) | ||||
0.221901 | + | 0.975069i | \(0.428774\pi\) | |||||||
\(642\) | 31.1704 | + | 15.6843i | 1.23020 | + | 0.619009i | ||||
\(643\) | 5.74440 | + | 13.8682i | 0.226537 | + | 0.546908i | 0.995751 | − | 0.0920822i | \(-0.0293523\pi\) |
−0.769215 | + | 0.638991i | \(0.779352\pi\) | |||||||
\(644\) | −14.8080 | − | 19.9543i | −0.583517 | − | 0.786310i | ||||
\(645\) | −9.94424 | − | 4.11904i | −0.391554 | − | 0.162187i | ||||
\(646\) | 0.0726903 | − | 0.987369i | 0.00285996 | − | 0.0388475i | ||||
\(647\) | 13.9424 | + | 13.9424i | 0.548134 | + | 0.548134i | 0.925901 | − | 0.377767i | \(-0.123308\pi\) |
−0.377767 | + | 0.925901i | \(0.623308\pi\) | |||||||
\(648\) | −1.95055 | + | 0.339317i | −0.0766248 | + | 0.0133296i | ||||
\(649\) | 2.25298 | − | 2.25298i | 0.0884371 | − | 0.0884371i | ||||
\(650\) | 4.81514 | + | 5.58046i | 0.188865 | + | 0.218884i | ||||
\(651\) | 17.5706 | − | 42.4192i | 0.688646 | − | 1.66254i | ||||
\(652\) | −2.02257 | + | 3.37665i | −0.0792098 | + | 0.132240i | ||||
\(653\) | −0.361667 | + | 0.149807i | −0.0141531 | + | 0.00586241i | −0.389749 | − | 0.920921i | \(-0.627438\pi\) |
0.375596 | + | 0.926784i | \(0.377438\pi\) | |||||||
\(654\) | 11.6815 | + | 35.3434i | 0.456783 | + | 1.38204i | ||||
\(655\) | 6.32634i | 0.247191i | ||||||||
\(656\) | 17.0075 | + | 31.7750i | 0.664032 | + | 1.24060i | ||||
\(657\) | − | 36.1646i | − | 1.41091i | ||||||
\(658\) | −1.73694 | + | 0.574085i | −0.0677131 | + | 0.0223802i | ||||
\(659\) | −18.5077 | + | 7.66613i | −0.720957 | + | 0.298630i | −0.712830 | − | 0.701337i | \(-0.752587\pi\) |
−0.00812687 | + | 0.999967i | \(0.502587\pi\) | |||||||
\(660\) | 0.918778 | + | 3.66351i | 0.0357634 | + | 0.142602i | ||||
\(661\) | 12.4139 | − | 29.9699i | 0.482846 | − | 1.16569i | −0.475405 | − | 0.879767i | \(-0.657698\pi\) |
0.958251 | − | 0.285927i | \(-0.0923015\pi\) | |||||||
\(662\) | −17.9982 | + | 15.5299i | −0.699522 | + | 0.603587i | ||||
\(663\) | −0.529357 | + | 0.529357i | −0.0205585 | + | 0.0205585i | ||||
\(664\) | −18.3862 | − | 29.0073i | −0.713523 | − | 1.12570i | ||||
\(665\) | −4.01786 | − | 4.01786i | −0.155806 | − | 0.155806i | ||||
\(666\) | −74.7344 | − | 5.50196i | −2.89590 | − | 0.213197i | ||||
\(667\) | −29.5215 | − | 12.2282i | −1.14308 | − | 0.473478i | ||||
\(668\) | 6.28074 | − | 42.4252i | 0.243009 | − | 1.64148i | ||||
\(669\) | 18.5797 | + | 44.8554i | 0.718334 | + | 1.73421i | ||||
\(670\) | 1.88291 | − | 3.74203i | 0.0727431 | − | 0.144567i | ||||
\(671\) | −0.911176 | −0.0351755 | ||||||||
\(672\) | −15.4389 | − | 34.7623i | −0.595570 | − | 1.34099i | ||||
\(673\) | −47.5269 | −1.83203 | −0.916014 | − | 0.401146i | \(-0.868612\pi\) | ||||
−0.916014 | + | 0.401146i | \(0.868612\pi\) | |||||||
\(674\) | 1.33897 | − | 2.66103i | 0.0515752 | − | 0.102499i | ||||
\(675\) | −9.32453 | − | 22.5114i | −0.358902 | − | 0.866465i | ||||
\(676\) | −22.9616 | − | 3.39930i | −0.883140 | − | 0.130742i | ||||
\(677\) | −41.7848 | − | 17.3078i | −1.60592 | − | 0.665194i | −0.613682 | − | 0.789553i | \(-0.710312\pi\) |
−0.992237 | + | 0.124360i | \(0.960312\pi\) | |||||||
\(678\) | −9.64490 | − | 0.710059i | −0.370410 | − | 0.0272696i | ||||
\(679\) | −7.07847 | − | 7.07847i | −0.271647 | − | 0.271647i | ||||
\(680\) | −0.474817 | − | 0.106409i | −0.0182084 | − | 0.00408060i | ||||
\(681\) | −3.28321 | + | 3.28321i | −0.125813 | + | 0.125813i | ||||
\(682\) | 6.39542 | − | 5.51833i | 0.244893 | − | 0.211308i | ||||
\(683\) | 13.2754 | − | 32.0496i | 0.507968 | − | 1.22634i | −0.437083 | − | 0.899421i | \(-0.643988\pi\) |
0.945051 | − | 0.326922i | \(-0.106012\pi\) | |||||||
\(684\) | 29.9487 | − | 7.51089i | 1.14512 | − | 0.287186i | ||||
\(685\) | 7.76744 | − | 3.21738i | 0.296779 | − | 0.122930i | ||||
\(686\) | −26.6238 | + | 8.79956i | −1.01650 | + | 0.335969i | ||||
\(687\) | − | 7.48100i | − | 0.285418i | ||||||
\(688\) | 15.4229 | + | 12.6424i | 0.587992 | + | 0.481988i | ||||
\(689\) | 12.0922i | 0.460674i | ||||||||
\(690\) | −4.99402 | − | 15.1098i | −0.190119 | − | 0.575222i | ||||
\(691\) | 46.1276 | − | 19.1067i | 1.75478 | − | 0.726852i | 0.757520 | − | 0.652812i | \(-0.226411\pi\) |
0.997255 | − | 0.0740401i | \(-0.0235893\pi\) | |||||||
\(692\) | 8.44647 | + | 5.05933i | 0.321087 | + | 0.192327i | ||||
\(693\) | 3.95525 | − | 9.54882i | 0.150248 | − | 0.362730i | ||||
\(694\) | 12.3896 | + | 14.3588i | 0.470302 | + | 0.545052i | ||||
\(695\) | 0.505515 | − | 0.505515i | 0.0191753 | − | 0.0191753i | ||||
\(696\) | −40.0025 | − | 28.1472i | −1.51629 | − | 1.06692i | ||||
\(697\) | −1.43208 | − | 1.43208i | −0.0542438 | − | 0.0542438i | ||||
\(698\) | 2.04163 | − | 27.7320i | 0.0772769 | − | 1.04967i | ||||
\(699\) | 40.3474 | + | 16.7124i | 1.52608 | + | 0.632122i | ||||
\(700\) | 16.8995 | − | 12.5410i | 0.638741 | − | 0.474007i | ||||
\(701\) | 5.34543 | + | 12.9050i | 0.201894 | + | 0.487415i | 0.992104 | − | 0.125422i | \(-0.0400283\pi\) |
−0.790210 | + | 0.612837i | \(0.790028\pi\) | |||||||
\(702\) | −8.23344 | − | 4.14288i | −0.310751 | − | 0.156363i | ||||
\(703\) | 33.2933 | 1.25568 | ||||||||
\(704\) | 0.337349 | − | 6.98966i | 0.0127143 | − | 0.263433i | ||||
\(705\) | −1.17157 | −0.0441240 | ||||||||
\(706\) | 36.2584 | + | 18.2444i | 1.36460 | + | 0.686639i | ||||
\(707\) | 4.40555 | + | 10.6359i | 0.165688 | + | 0.400006i | ||||
\(708\) | −16.5020 | + | 12.2461i | −0.620184 | + | 0.460235i | ||||
\(709\) | 31.1013 | + | 12.8826i | 1.16803 | + | 0.483815i | 0.880542 | − | 0.473968i | \(-0.157179\pi\) |
0.287491 | + | 0.957783i | \(0.407179\pi\) | |||||||
\(710\) | −0.606874 | + | 8.24331i | −0.0227756 | + | 0.309366i | ||||
\(711\) | 29.4149 | + | 29.4149i | 1.10315 | + | 1.10315i | ||||
\(712\) | −13.6415 | + | 19.3871i | −0.511236 | + | 0.726564i | ||||
\(713\) | −25.1665 | + | 25.1665i | −0.942492 | + | 0.942492i | ||||
\(714\) | 1.39635 | + | 1.61829i | 0.0522571 | + | 0.0605629i | ||||
\(715\) | −0.302497 | + | 0.730292i | −0.0113127 | + | 0.0273114i | ||||
\(716\) | 13.5179 | + | 8.09706i | 0.505189 | + | 0.302601i | ||||
\(717\) | 47.6540 | − | 19.7390i | 1.77967 | − | 0.737165i | ||||
\(718\) | −4.01184 | − | 12.1382i | −0.149721 | − | 0.452993i | ||||
\(719\) | − | 0.571168i | − | 0.0213010i | −0.999943 | − | 0.0106505i | \(-0.996610\pi\) | ||
0.999943 | − | 0.0106505i | \(-0.00339022\pi\) | |||||||
\(720\) | −1.49611 | − | 15.1014i | −0.0557566 | − | 0.562795i | ||||
\(721\) | 36.9590i | 1.37643i | ||||||||
\(722\) | 12.4878 | − | 4.12740i | 0.464748 | − | 0.153606i | ||||
\(723\) | −72.4893 | + | 30.0261i | −2.69591 | + | 1.11668i | ||||
\(724\) | 31.0306 | − | 7.78222i | 1.15324 | − | 0.289224i | ||||
\(725\) | 10.3562 | − | 25.0020i | 0.384619 | − | 0.928552i | ||||
\(726\) | −30.9122 | + | 26.6728i | −1.14726 | + | 0.989920i | ||||
\(727\) | −23.0479 | + | 23.0479i | −0.854800 | + | 0.854800i | −0.990720 | − | 0.135920i | \(-0.956601\pi\) |
0.135920 | + | 0.990720i | \(0.456601\pi\) | |||||||
\(728\) | 1.74081 | − | 7.76782i | 0.0645188 | − | 0.287895i | ||||
\(729\) | −30.5768 | − | 30.5768i | −1.13247 | − | 1.13247i | ||||
\(730\) | 7.87565 | + | 0.579807i | 0.291491 | + | 0.0214596i | ||||
\(731\) | −1.03534 | − | 0.428852i | −0.0382935 | − | 0.0158617i | ||||
\(732\) | 5.81332 | + | 0.860620i | 0.214866 | + | 0.0318094i | ||||
\(733\) | −11.8891 | − | 28.7029i | −0.439136 | − | 1.06017i | −0.976248 | − | 0.216656i | \(-0.930485\pi\) |
0.537112 | − | 0.843511i | \(-0.319515\pi\) | |||||||
\(734\) | 9.27979 | − | 18.4424i | 0.342523 | − | 0.680720i | ||||
\(735\) | −2.84523 | −0.104948 | ||||||||
\(736\) | 0.744728 | + | 29.4749i | 0.0274510 | + | 1.08646i | ||||
\(737\) | −3.38534 | −0.124701 | ||||||||
\(738\) | 28.3900 | − | 56.4213i | 1.04505 | − | 2.07690i | ||||
\(739\) | 2.87645 | + | 6.94437i | 0.105812 | + | 0.255453i | 0.967914 | − | 0.251282i | \(-0.0808522\pi\) |
−0.862102 | + | 0.506735i | \(0.830852\pi\) | |||||||
\(740\) | 2.39635 | − | 16.1869i | 0.0880916 | − | 0.595042i | ||||
\(741\) | 9.58323 | + | 3.96951i | 0.352049 | + | 0.145823i | ||||
\(742\) | 34.4318 | + | 2.53488i | 1.26403 | + | 0.0930582i | ||||
\(743\) | −16.6576 | − | 16.6576i | −0.611108 | − | 0.611108i | 0.332127 | − | 0.943235i | \(-0.392234\pi\) |
−0.943235 | + | 0.332127i | \(0.892234\pi\) | |||||||
\(744\) | −46.0151 | + | 29.1665i | −1.68699 | + | 1.06929i | ||||
\(745\) | 3.31788 | − | 3.31788i | 0.121558 | − | 0.121558i | ||||
\(746\) | 16.8929 | − | 14.5761i | 0.618491 | − | 0.533669i | ||||
\(747\) | −23.0328 | + | 55.6062i | −0.842728 | + | 2.03452i | ||||
\(748\) | 0.0956582 | + | 0.381425i | 0.00349761 | + | 0.0139463i | ||||
\(749\) | 19.2635 | − | 7.97920i | 0.703873 | − | 0.291554i | ||||
\(750\) | 27.2915 | − | 9.02023i | 0.996544 | − | 0.329372i | ||||
\(751\) | − | 31.1077i | − | 1.13514i | −0.823326 | − | 0.567569i | \(-0.807884\pi\) | ||
0.823326 | − | 0.567569i | \(-0.192116\pi\) | |||||||
\(752\) | 2.07754 | + | 0.628912i | 0.0757600 | + | 0.0229341i | ||||
\(753\) | − | 28.6297i | − | 1.04332i | ||||||
\(754\) | −3.21247 | − | 9.71961i | −0.116991 | − | 0.353967i | ||||
\(755\) | −8.17083 | + | 3.38447i | −0.297367 | + | 0.123173i | ||||
\(756\) | −13.5226 | + | 22.5758i | −0.491813 | + | 0.821075i | ||||
\(757\) | −2.35711 | + | 5.69056i | −0.0856705 | + | 0.206827i | −0.960909 | − | 0.276865i | \(-0.910704\pi\) |
0.875238 | + | 0.483692i | \(0.160704\pi\) | |||||||
\(758\) | 5.68312 | + | 6.58641i | 0.206420 | + | 0.239229i | ||||
\(759\) | −9.09378 | + | 9.09378i | −0.330083 | + | 0.330083i | ||||
\(760\) | 1.15551 | + | 6.64242i | 0.0419149 | + | 0.240946i | ||||
\(761\) | −14.2913 | − | 14.2913i | −0.518059 | − | 0.518059i | 0.398925 | − | 0.916984i | \(-0.369383\pi\) |
−0.916984 | + | 0.398925i | \(0.869383\pi\) | |||||||
\(762\) | 0.642215 | − | 8.72336i | 0.0232650 | − | 0.316014i | ||||
\(763\) | 20.5497 | + | 8.51196i | 0.743949 | + | 0.308154i | ||||
\(764\) | −18.4311 | − | 24.8366i | −0.666815 | − | 0.898558i | ||||
\(765\) | 0.326340 | + | 0.787854i | 0.0117988 | + | 0.0284849i | ||||
\(766\) | −15.7449 | − | 7.92246i | −0.568885 | − | 0.286250i | ||||
\(767\) | −4.30071 | −0.155290 | ||||||||
\(768\) | −8.75413 | + | 44.2756i | −0.315888 | + | 1.59766i | ||||
\(769\) | 8.95004 | 0.322747 | 0.161373 | − | 0.986893i | \(-0.448408\pi\) | ||||
0.161373 | + | 0.986893i | \(0.448408\pi\) | |||||||
\(770\) | 2.01606 | + | 1.01444i | 0.0726537 | + | 0.0365577i | ||||
\(771\) | −21.6602 | − | 52.2924i | −0.780073 | − | 1.88326i | ||||
\(772\) | 15.7571 | + | 21.2333i | 0.567110 | + | 0.764202i | ||||
\(773\) | −26.6270 | − | 11.0293i | −0.957707 | − | 0.396695i | −0.151585 | − | 0.988444i | \(-0.548438\pi\) |
−0.806122 | + | 0.591749i | \(0.798438\pi\) | |||||||
\(774\) | 2.56603 | − | 34.8550i | 0.0922340 | − | 1.25284i | ||||
\(775\) | −21.3137 | − | 21.3137i | −0.765611 | − | 0.765611i | ||||
\(776\) | 2.03573 | + | 11.7023i | 0.0730783 | + | 0.420087i | ||||
\(777\) | −50.8256 | + | 50.8256i | −1.82336 | + | 1.82336i | ||||
\(778\) | 14.1298 | + | 16.3756i | 0.506577 | + | 0.587093i | ||||
\(779\) | −10.7387 | + | 25.9256i | −0.384756 | + | 0.928882i | ||||
\(780\) | 2.61971 | − | 4.37356i | 0.0938006 | − | 0.156599i | ||||
\(781\) | 6.17132 | − | 2.55624i | 0.220827 | − | 0.0914695i | ||||
\(782\) | −0.519951 | − | 1.57316i | −0.0185934 | − | 0.0562559i | ||||
\(783\) | 33.8408i | 1.20937i | ||||||||
\(784\) | 5.04542 | + | 1.52735i | 0.180194 | + | 0.0545482i | ||||
\(785\) | 9.76782i | 0.348629i | ||||||||
\(786\) | −31.3081 | + | 10.3478i | −1.11672 | + | 0.369093i | ||||
\(787\) | 4.45056 | − | 1.84348i | 0.158645 | − | 0.0657130i | −0.301948 | − | 0.953324i | \(-0.597637\pi\) |
0.460593 | + | 0.887611i | \(0.347637\pi\) | |||||||
\(788\) | −0.317537 | − | 1.26614i | −0.0113118 | − | 0.0451043i | ||||
\(789\) | 27.4455 | − | 66.2593i | 0.977086 | − | 2.35889i | ||||
\(790\) | −6.87735 | + | 5.93416i | −0.244685 | + | 0.211128i | ||||
\(791\) | −4.08625 | + | 4.08625i | −0.145290 | + | 0.145290i | ||||
\(792\) | −10.3583 | + | 6.56555i | −0.368065 | + | 0.233297i | ||||
\(793\) | 0.869673 | + | 0.869673i | 0.0308830 | + | 0.0308830i | ||||
\(794\) | 39.0406 | + | 2.87418i | 1.38550 | + | 0.102001i | ||||
\(795\) | 20.4277 | + | 8.46144i | 0.724497 | + | 0.300096i | ||||
\(796\) | 0.772467 | − | 5.21787i | 0.0273794 | − | 0.184942i | ||||
\(797\) | 14.9972 | + | 36.2064i | 0.531227 | + | 1.28250i | 0.930711 | + | 0.365756i | \(0.119189\pi\) |
−0.399484 | + | 0.916740i | \(0.630811\pi\) | |||||||
\(798\) | 13.3119 | − | 26.4557i | 0.471236 | − | 0.936520i | ||||
\(799\) | −0.121978 | −0.00431527 | ||||||||
\(800\) | −24.9626 | + | 0.630717i | −0.882561 | + | 0.0222992i | ||||
\(801\) | 41.5444 | 1.46790 | ||||||||
\(802\) | 10.4896 | − | 20.8468i | 0.370402 | − | 0.736125i | ||||
\(803\) | −2.44223 | − | 5.89607i | −0.0861845 | − | 0.208068i | ||||
\(804\) | 21.5985 | + | 3.19751i | 0.761722 | + | 0.112767i | ||||
\(805\) | −8.78530 | − | 3.63899i | −0.309641 | − | 0.128258i | ||||
\(806\) | −11.3711 | − | 0.837141i | −0.400529 | − | 0.0294870i | ||||
\(807\) | 55.3980 | + | 55.3980i | 1.95010 | + | 1.95010i | ||||
\(808\) | 2.98719 | − | 13.3294i | 0.105089 | − | 0.468926i | ||||
\(809\) | −18.3458 | + | 18.3458i | −0.645005 | + | 0.645005i | −0.951782 | − | 0.306777i | \(-0.900750\pi\) |
0.306777 | + | 0.951782i | \(0.400750\pi\) | |||||||
\(810\) | −0.573630 | + | 0.494961i | −0.0201553 | + | 0.0173911i | ||||
\(811\) | −14.5476 | + | 35.1209i | −0.510834 | + | 1.23326i | 0.432565 | + | 0.901603i | \(0.357609\pi\) |
−0.943399 | + | 0.331660i | \(0.892391\pi\) | |||||||
\(812\) | −28.3495 | + | 7.10984i | −0.994874 | + | 0.249506i | ||||
\(813\) | −42.9797 | + | 17.8028i | −1.50736 | + | 0.624371i | ||||
\(814\) | −12.5558 | + | 4.14988i | −0.440081 | + | 0.145453i | ||||
\(815\) | 1.50626i | 0.0527621i | ||||||||
\(816\) | −0.250040 | − | 2.52385i | −0.00875315 | − | 0.0883523i | ||||
\(817\) | 15.5275i | 0.543238i | ||||||||
\(818\) | −0.806993 | − | 2.44163i | −0.0282159 | − | 0.0853695i | ||||
\(819\) | −12.8890 | + | 5.33879i | −0.450377 | + | 0.186552i | ||||
\(820\) | 11.8319 | + | 7.08713i | 0.413186 | + | 0.247493i | ||||
\(821\) | −10.1999 | + | 24.6248i | −0.355979 | + | 0.859410i | 0.639877 | + | 0.768477i | \(0.278985\pi\) |
−0.995857 | + | 0.0909335i | \(0.971015\pi\) | |||||||
\(822\) | 28.6272 | + | 33.1773i | 0.998489 | + | 1.15719i | ||||
\(823\) | −1.53506 | + | 1.53506i | −0.0535088 | + | 0.0535088i | −0.733355 | − | 0.679846i | \(-0.762047\pi\) |
0.679846 | + | 0.733355i | \(0.262047\pi\) | |||||||
\(824\) | 25.2361 | − | 35.8653i | 0.879142 | − | 1.24943i | ||||
\(825\) | −7.70160 | − | 7.70160i | −0.268135 | − | 0.268135i | ||||
\(826\) | −0.901558 | + | 12.2461i | −0.0313692 | + | 0.426095i | ||||
\(827\) | 18.6205 | + | 7.71287i | 0.647499 | + | 0.268203i | 0.682167 | − | 0.731196i | \(-0.261038\pi\) |
−0.0346687 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(828\) | 41.4944 | − | 30.7928i | 1.44203 | − | 1.07012i | ||||
\(829\) | −9.98710 | − | 24.1110i | −0.346866 | − | 0.837409i | −0.996986 | − | 0.0775776i | \(-0.975281\pi\) |
0.650120 | − | 0.759831i | \(-0.274719\pi\) | |||||||
\(830\) | −11.7402 | − | 5.90742i | −0.407509 | − | 0.205050i | ||||
\(831\) | 17.0993 | 0.593168 | ||||||||
\(832\) | −6.99327 | + | 6.34931i | −0.242448 | + | 0.220123i | ||||
\(833\) | −0.296230 | −0.0102638 | ||||||||
\(834\) | 3.32857 | + | 1.67486i | 0.115259 | + | 0.0579957i | ||||
\(835\) | −6.28074 | − | 15.1630i | −0.217354 | − | 0.524739i | ||||
\(836\) | 4.37545 | − | 3.24700i | 0.151328 | − | 0.112300i | ||||
\(837\) | 34.8233 | + | 14.4243i | 1.20367 | + | 0.498576i | ||||
\(838\) | −4.06688 | + | 55.2414i | −0.140488 | + | 1.90828i | ||||
\(839\) | 31.2561 | + | 31.2561i | 1.07908 | + | 1.07908i | 0.996592 | + | 0.0824901i | \(0.0262873\pi\) |
0.0824901 | + | 0.996592i | \(0.473713\pi\) | |||||||
\(840\) | −11.9043 | − | 8.37632i | −0.410739 | − | 0.289010i | ||||
\(841\) | −6.07041 | + | 6.07041i | −0.209324 | + | 0.209324i | ||||
\(842\) | −13.6131 | − | 15.7768i | −0.469137 | − | 0.543703i | ||||
\(843\) | 14.9729 | − | 36.1479i | 0.515695 | − | 1.24500i | ||||
\(844\) | −35.3480 | − | 21.1730i | −1.21673 | − | 0.728804i | ||||
\(845\) | −8.20664 | + | 3.39930i | −0.282317 | + | 0.116940i | ||||
\(846\) | −1.19379 | − | 3.61192i | −0.0410435 | − | 0.124180i | ||||
\(847\) | 24.3970i | 0.838292i | ||||||||
\(848\) | −31.6821 | − | 25.9704i | −1.08797 | − | 0.891827i | ||||
\(849\) | − | 65.2246i | − | 2.23850i | ||||||
\(850\) | 1.33232 | − | 0.440351i | 0.0456982 | − | 0.0151039i | ||||
\(851\) | 51.4758 | − | 21.3220i | 1.76457 | − | 0.730908i | ||||
\(852\) | −41.7875 | + | 10.4800i | −1.43162 | + | 0.359038i | ||||
\(853\) | −7.73304 | + | 18.6692i | −0.264774 | + | 0.639222i | −0.999222 | − | 0.0394438i | \(-0.987441\pi\) |
0.734447 | + | 0.678666i | \(0.237441\pi\) | |||||||
\(854\) | 2.65866 | − | 2.29404i | 0.0909774 | − | 0.0785004i | ||||
\(855\) | 8.35503 | − | 8.35503i | 0.285736 | − | 0.285736i | ||||
\(856\) | −24.1418 | − | 5.41030i | −0.825148 | − | 0.184920i | ||||
\(857\) | 4.21699 | + | 4.21699i | 0.144050 | + | 0.144050i | 0.775454 | − | 0.631404i | \(-0.217521\pi\) |
−0.631404 | + | 0.775454i | \(0.717521\pi\) | |||||||
\(858\) | −4.10889 | − | 0.302497i | −0.140275 | − | 0.0103271i | ||||
\(859\) | −32.3968 | − | 13.4192i | −1.10536 | − | 0.457857i | −0.246025 | − | 0.969263i | \(-0.579125\pi\) |
−0.859339 | + | 0.511407i | \(0.829125\pi\) | |||||||
\(860\) | 7.54931 | + | 1.11762i | 0.257429 | + | 0.0381106i | ||||
\(861\) | −23.1843 | − | 55.9719i | −0.790120 | − | 1.90752i | ||||
\(862\) | −1.81629 | + | 3.60963i | −0.0618629 | + | 0.122944i | ||||
\(863\) | −18.7779 | −0.639207 | −0.319604 | − | 0.947551i | \(-0.603550\pi\) | ||||
−0.319604 | + | 0.947551i | \(0.603550\pi\) | |||||||
\(864\) | 28.5376 | − | 12.6743i | 0.970867 | − | 0.431190i | ||||
\(865\) | 3.76782 | 0.128110 | ||||||||
\(866\) | −14.3135 | + | 28.4463i | −0.486393 | + | 0.966643i | ||||
\(867\) | −18.2965 | − | 44.1716i | −0.621380 | − | 1.50015i | ||||
\(868\) | −4.76744 | + | 32.2031i | −0.161817 | + | 1.09305i | ||||
\(869\) | 6.78206 | + | 2.80922i | 0.230066 | + | 0.0952963i | ||||
\(870\) | −18.6676 | − | 1.37431i | −0.632891 | − | 0.0465935i | ||||
\(871\) | 3.23114 | + | 3.23114i | 0.109483 | + | 0.109483i | ||||
\(872\) | −14.1295 | − | 22.2917i | −0.478485 | − | 0.754892i | ||||
\(873\) | 14.7195 | − | 14.7195i | 0.498178 | − | 0.498178i | ||||
\(874\) | −17.3812 | + | 14.9974i | −0.587927 | + | 0.507296i | ||||
\(875\) | 6.57277 | − | 15.8681i | 0.222200 | − | 0.536439i | ||||
\(876\) | 10.0126 | + | 39.9238i | 0.338293 | + | 1.34890i | ||||
\(877\) | 5.59652 | − | 2.31816i | 0.188981 | − | 0.0782786i | −0.286186 | − | 0.958174i | \(-0.592388\pi\) |
0.475167 | + | 0.879895i | \(0.342388\pi\) | |||||||
\(878\) | 16.8576 | − | 5.57170i | 0.568918 | − | 0.188036i | ||||
\(879\) | − | 62.4121i | − | 2.10511i | ||||||
\(880\) | −1.26373 | − | 2.36101i | −0.0426003 | − | 0.0795896i | ||||
\(881\) | − | 16.3413i | − | 0.550552i | −0.961365 | − | 0.275276i | \(-0.911231\pi\) | ||
0.961365 | − | 0.275276i | \(-0.0887692\pi\) | |||||||
\(882\) | −2.89920 | − | 8.77177i | −0.0976210 | − | 0.295361i | ||||
\(883\) | −0.366860 | + | 0.151958i | −0.0123458 | + | 0.00511380i | −0.388848 | − | 0.921302i | \(-0.627127\pi\) |
0.376502 | + | 0.926416i | \(0.377127\pi\) | |||||||
\(884\) | 0.272750 | − | 0.455352i | 0.00917357 | − | 0.0153151i | ||||
\(885\) | −3.00941 | + | 7.26535i | −0.101160 | + | 0.244222i | ||||
\(886\) | 23.7377 | + | 27.5106i | 0.797483 | + | 0.924237i | ||||
\(887\) | −6.38554 | + | 6.38554i | −0.214406 | + | 0.214406i | −0.806136 | − | 0.591730i | \(-0.798445\pi\) |
0.591730 | + | 0.806136i | \(0.298445\pi\) | |||||||
\(888\) | 84.0260 | − | 14.6172i | 2.81973 | − | 0.490520i | ||||
\(889\) | −3.69583 | − | 3.69583i | −0.123954 | − | 0.123954i | ||||
\(890\) | −0.666058 | + | 9.04722i | −0.0223263 | + | 0.303264i | ||||
\(891\) | 0.565682 | + | 0.234313i | 0.0189511 | + | 0.00784979i | ||||
\(892\) | −20.5142 | − | 27.6436i | −0.686865 | − | 0.925575i | ||||
\(893\) | 0.646775 | + | 1.56145i | 0.0216435 | + | 0.0522521i | ||||
\(894\) | 21.8466 | + | 10.9927i | 0.730661 | + | 0.367652i | ||||
\(895\) | 6.03011 | 0.201564 | ||||||||
\(896\) | 16.6133 | + | 21.2440i | 0.555013 | + | 0.709712i | ||||
\(897\) | 17.3591 | 0.579604 | ||||||||
\(898\) | −11.1616 | − | 5.61628i | −0.372468 | − | 0.187418i | ||||
\(899\) | 16.0202 | + | 38.6761i | 0.534302 | + | 1.28992i | ||||
\(900\) | 26.0787 | + | 35.1420i | 0.869291 | + | 1.17140i | ||||
\(901\) | 2.12682 | + | 0.880960i | 0.0708548 | + | 0.0293490i | ||||
\(902\) | 0.818348 | − | 11.1158i | 0.0272480 | − | 0.370116i | ||||
\(903\) | −23.7043 | − | 23.7043i | −0.788829 | − | 0.788829i | ||||
\(904\) | 6.75548 | − | 1.17518i | 0.224684 | − | 0.0390860i | ||||
\(905\) | 8.65685 | − | 8.65685i | 0.287764 | − | 0.287764i | ||||
\(906\) | −30.1139 | − | 34.9003i | −1.00047 | − | 1.15948i | ||||
\(907\) | 14.6313 | − | 35.3230i | 0.485823 | − | 1.17288i | −0.470980 | − | 0.882144i | \(-0.656100\pi\) |
0.956803 | − | 0.290737i | \(-0.0939004\pi\) | |||||||
\(908\) | 1.69167 | − | 2.82421i | 0.0561399 | − | 0.0937248i | ||||
\(909\) | −22.1171 | + | 9.16122i | −0.733579 | + | 0.303859i | ||||
\(910\) | −0.955999 | − | 2.89246i | −0.0316911 | − | 0.0958841i | ||||
\(911\) | − | 30.2904i | − | 1.00356i | −0.864994 | − | 0.501782i | \(-0.832678\pi\) | ||
0.864994 | − | 0.501782i | \(-0.167322\pi\) | |||||||
\(912\) | −30.9823 | + | 16.5832i | −1.02593 | + | 0.549126i | ||||
\(913\) | 10.6211i | 0.351509i | ||||||||
\(914\) | −14.4095 | + | 4.76255i | −0.476624 | + | 0.157531i | ||||
\(915\) | 2.07772 | − | 0.860620i | 0.0686873 | − | 0.0284512i | ||||
\(916\) | 1.29029 | + | 5.14485i | 0.0426323 | + | 0.169991i | ||||
\(917\) | −7.54011 | + | 18.2034i | −0.248996 | + | 0.601130i | ||||
\(918\) | −1.32851 | + | 1.14631i | −0.0438473 | + | 0.0378339i | ||||
\(919\) | 42.1116 | − | 42.1116i | 1.38913 | − | 1.38913i | 0.561987 | − | 0.827146i | \(-0.310037\pi\) |
0.827146 | − | 0.561987i | \(-0.189963\pi\) | |||||||
\(920\) | 6.04057 | + | 9.53003i | 0.199152 | + | 0.314196i | ||||
\(921\) | 33.7218 | + | 33.7218i | 1.11117 | + | 1.11117i | ||||
\(922\) | −23.2858 | − | 1.71431i | −0.766878 | − | 0.0564577i | ||||
\(923\) | −8.33002 | − | 3.45041i | −0.274186 | − | 0.113572i | ||||
\(924\) | −1.72269 | + | 11.6364i | −0.0566723 | + | 0.382811i | ||||
\(925\) | 18.0578 | + | 43.5953i | 0.593736 | + | 1.43341i | ||||
\(926\) | 11.9502 | − | 23.7495i | 0.392709 | − | 0.780457i | ||||
\(927\) | −76.8552 | −2.52426 | ||||||||
\(928\) | 32.3653 | + | 12.4580i | 1.06244 | + | 0.408954i | ||||
\(929\) | 25.2271 | 0.827674 | 0.413837 | − | 0.910351i | \(-0.364188\pi\) | ||||
0.413837 | + | 0.910351i | \(0.364188\pi\) | |||||||
\(930\) | −9.37109 | + | 18.6238i | −0.307290 | + | 0.610699i | ||||
\(931\) | 1.57073 | + | 3.79208i | 0.0514787 | + | 0.124280i | ||||
\(932\) | −30.6303 | − | 4.53459i | −1.00333 | − | 0.148535i | ||||
\(933\) | −26.7176 | − | 11.0668i | −0.874694 | − | 0.362310i | ||||
\(934\) | −14.1821 | − | 1.04409i | −0.464053 | − | 0.0341637i | ||||
\(935\) | 0.106409 | + | 0.106409i | 0.00347995 | + | 0.00347995i | ||||
\(936\) | 16.1530 | + | 3.61997i | 0.527976 | + | 0.118322i | ||||
\(937\) | 30.3001 | − | 30.3001i | 0.989863 | − | 0.989863i | −0.0100865 | − | 0.999949i | \(-0.503211\pi\) |
0.999949 | + | 0.0100865i | \(0.00321068\pi\) | |||||||
\(938\) | 9.87786 | − | 8.52318i | 0.322524 | − | 0.278292i | ||||
\(939\) | −15.5097 | + | 37.4437i | −0.506140 | + | 1.22193i | ||||
\(940\) | 0.805717 | − | 0.202067i | 0.0262796 | − | 0.00659071i | ||||
\(941\) | −1.05940 | + | 0.438818i | −0.0345355 | + | 0.0143051i | −0.399884 | − | 0.916566i | \(-0.630950\pi\) |
0.365349 | + | 0.930871i | \(0.380950\pi\) | |||||||
\(942\) | −48.3394 | + | 15.9769i | −1.57498 | + | 0.520555i | ||||
\(943\) | 46.9618i | 1.52929i | ||||||||
\(944\) | 9.23666 | − | 11.2681i | 0.300628 | − | 0.366745i | ||||
\(945\) | 10.0707i | 0.327599i | ||||||||
\(946\) | −1.93544 | − | 5.85584i | −0.0629266 | − | 0.190390i | ||||
\(947\) | −25.2985 | + | 10.4790i | −0.822089 | + | 0.340520i | −0.753766 | − | 0.657143i | \(-0.771765\pi\) |
−0.0683231 | + | 0.997663i | \(0.521765\pi\) | |||||||
\(948\) | −40.6163 | − | 24.3286i | −1.31916 | − | 0.790157i | ||||
\(949\) | −3.29652 | + | 7.95850i | −0.107009 | + | 0.258344i | ||||
\(950\) | −12.7015 | − | 14.7203i | −0.412090 | − | 0.477589i | ||||
\(951\) | −6.99925 | + | 6.99925i | −0.226966 | + | 0.226966i | ||||
\(952\) | −1.23942 | − | 0.872098i | −0.0401697 | − | 0.0282648i | ||||
\(953\) | 8.84307 | + | 8.84307i | 0.286455 | + | 0.286455i | 0.835677 | − | 0.549222i | \(-0.185076\pi\) |
−0.549222 | + | 0.835677i | \(0.685076\pi\) | |||||||
\(954\) | −5.27120 | + | 71.6000i | −0.170661 | + | 2.31813i | ||||
\(955\) | −10.9348 | − | 4.52936i | −0.353843 | − | 0.146567i | ||||
\(956\) | −29.3683 | + | 21.7941i | −0.949838 | + | 0.704870i | ||||
\(957\) | 5.78880 | + | 13.9754i | 0.187125 | + | 0.451761i | ||||
\(958\) | 18.6689 | + | 9.39380i | 0.603166 | + | 0.303500i | ||||
\(959\) | 26.1847 | 0.845549 | ||||||||
\(960\) | 5.83260 | + | 16.2569i | 0.188246 | + | 0.524689i | ||||
\(961\) | 15.6274 | 0.504110 | ||||||||
\(962\) | 15.9448 | + | 8.02306i | 0.514080 | + | 0.258674i | ||||
\(963\) | 16.5925 | + | 40.0579i | 0.534686 | + | 1.29085i | ||||
\(964\) | 44.6738 | − | 33.1522i | 1.43885 | − | 1.06776i | ||||
\(965\) | 9.34838 | + | 3.87222i | 0.300935 | + | 0.124651i | ||||
\(966\) | 3.63899 | − | 49.4293i | 0.117083 | − | 1.59036i | ||||
\(967\) | −33.2189 | − | 33.2189i | −1.06825 | − | 1.06825i | −0.997494 | − | 0.0707549i | \(-0.977459\pi\) |
−0.0707549 | − | 0.997494i | \(-0.522541\pi\) | |||||||
\(968\) | 16.6586 | − | 23.6751i | 0.535428 | − | 0.760945i | ||||
\(969\) | 1.39635 | − | 1.39635i | 0.0448572 | − | 0.0448572i | ||||
\(970\) | 2.96951 | + | 3.44148i | 0.0953451 | + | 0.110499i | ||||
\(971\) | −1.16696 | + | 2.81729i | −0.0374495 | + | 0.0904111i | −0.941498 | − | 0.337019i | \(-0.890581\pi\) |
0.904048 | + | 0.427431i | \(0.140581\pi\) | |||||||
\(972\) | 25.0248 | + | 14.9895i | 0.802670 | + | 0.480789i | ||||
\(973\) | 2.05707 | − | 0.852067i | 0.0659467 | − | 0.0273160i | ||||
\(974\) | −8.21293 | − | 24.8489i | −0.263159 | − | 0.796211i | ||||
\(975\) | 14.7016i | 0.470828i | ||||||||
\(976\) | −4.14639 | + | 0.410786i | −0.132723 | + | 0.0131489i | ||||
\(977\) | 13.5807i | 0.434484i | 0.976118 | + | 0.217242i | \(0.0697061\pi\) | ||||
−0.976118 | + | 0.217242i | \(0.930294\pi\) | |||||||
\(978\) | −7.45426 | + | 2.46374i | −0.238361 | + | 0.0787817i | ||||
\(979\) | 6.77316 | − | 2.80553i | 0.216471 | − | 0.0896653i | ||||
\(980\) | 1.95673 | − | 0.490732i | 0.0625055 | − | 0.0156759i | ||||
\(981\) | −17.7004 | + | 42.7325i | −0.565130 | + | 1.36434i | ||||
\(982\) | 32.9999 | − | 28.4741i | 1.05307 | − | 0.908646i | ||||
\(983\) | −29.0855 | + | 29.0855i | −0.927684 | + | 0.927684i | −0.997556 | − | 0.0698724i | \(-0.977741\pi\) |
0.0698724 | + | 0.997556i | \(0.477741\pi\) | |||||||
\(984\) | −15.7201 | + | 70.1462i | −0.501140 | + | 2.23618i | ||||
\(985\) | −0.353225 | − | 0.353225i | −0.0112547 | − | 0.0112547i | ||||
\(986\) | −1.94357 | − | 0.143086i | −0.0618959 | − | 0.00455679i | ||||
\(987\) | −3.37109 | − | 1.39635i | −0.107303 | − | 0.0444463i | ||||
\(988\) | −7.27525 | − | 1.07705i | −0.231456 | − | 0.0342654i | ||||
\(989\) | 9.94424 | + | 24.0075i | 0.316209 | + | 0.763395i | ||||
\(990\) | −2.10949 | + | 4.19233i | −0.0670440 | + | 0.133241i | ||||
\(991\) | 6.64680 | 0.211143 | 0.105571 | − | 0.994412i | \(-0.466333\pi\) | ||||
0.105571 | + | 0.994412i | \(0.466333\pi\) | |||||||
\(992\) | 26.6151 | − | 27.9949i | 0.845030 | − | 0.888839i | ||||
\(993\) | −47.4160 | −1.50470 | ||||||||
\(994\) | −11.5711 | + | 22.9960i | −0.367013 | + | 0.729390i | ||||
\(995\) | −0.772467 | − | 1.86490i | −0.0244889 | − | 0.0591213i | ||||
\(996\) | 10.0318 | − | 67.7631i | 0.317871 | − | 2.14716i | ||||
\(997\) | 44.0238 | + | 18.2353i | 1.39425 | + | 0.577516i | 0.948252 | − | 0.317519i | \(-0.102850\pi\) |
0.445996 | + | 0.895035i | \(0.352850\pi\) | |||||||
\(998\) | −34.2345 | − | 2.52035i | −1.08367 | − | 0.0797803i | ||||
\(999\) | −41.7244 | − | 41.7244i | −1.32010 | − | 1.32010i |
(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 | 32.2.g.b.5.1 | ✓ | 8 | |
3.2 | odd | 2 | 288.2.v.b.37.2 | 8 | |||
4.3 | odd | 2 | 128.2.g.b.113.2 | 8 | |||
5.2 | odd | 4 | 800.2.ba.c.549.2 | 8 | |||
5.3 | odd | 4 | 800.2.ba.d.549.1 | 8 | |||
5.4 | even | 2 | 800.2.y.b.101.2 | 8 | |||
8.3 | odd | 2 | 256.2.g.c.225.1 | 8 | |||
8.5 | even | 2 | 256.2.g.d.225.2 | 8 | |||
12.11 | even | 2 | 1152.2.v.b.1009.1 | 8 | |||
16.3 | odd | 4 | 512.2.g.f.193.1 | 8 | |||
16.5 | even | 4 | 512.2.g.e.193.1 | 8 | |||
16.11 | odd | 4 | 512.2.g.g.193.2 | 8 | |||
16.13 | even | 4 | 512.2.g.h.193.2 | 8 | |||
32.3 | odd | 8 | 256.2.g.c.33.1 | 8 | |||
32.5 | even | 8 | 512.2.g.h.321.2 | 8 | |||
32.11 | odd | 8 | 512.2.g.g.321.2 | 8 | |||
32.13 | even | 8 | inner | 32.2.g.b.13.1 | yes | 8 | |
32.19 | odd | 8 | 128.2.g.b.17.2 | 8 | |||
32.21 | even | 8 | 512.2.g.e.321.1 | 8 | |||
32.27 | odd | 8 | 512.2.g.f.321.1 | 8 | |||
32.29 | even | 8 | 256.2.g.d.33.2 | 8 | |||
64.13 | even | 16 | 4096.2.a.k.1.1 | 8 | |||
64.19 | odd | 16 | 4096.2.a.q.1.1 | 8 | |||
64.45 | even | 16 | 4096.2.a.k.1.8 | 8 | |||
64.51 | odd | 16 | 4096.2.a.q.1.8 | 8 | |||
96.77 | odd | 8 | 288.2.v.b.109.2 | 8 | |||
96.83 | even | 8 | 1152.2.v.b.145.1 | 8 | |||
160.13 | odd | 8 | 800.2.ba.c.749.2 | 8 | |||
160.77 | odd | 8 | 800.2.ba.d.749.1 | 8 | |||
160.109 | even | 8 | 800.2.y.b.301.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.2.g.b.5.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
32.2.g.b.13.1 | yes | 8 | 32.13 | even | 8 | inner | |
128.2.g.b.17.2 | 8 | 32.19 | odd | 8 | |||
128.2.g.b.113.2 | 8 | 4.3 | odd | 2 | |||
256.2.g.c.33.1 | 8 | 32.3 | odd | 8 | |||
256.2.g.c.225.1 | 8 | 8.3 | odd | 2 | |||
256.2.g.d.33.2 | 8 | 32.29 | even | 8 | |||
256.2.g.d.225.2 | 8 | 8.5 | even | 2 | |||
288.2.v.b.37.2 | 8 | 3.2 | odd | 2 | |||
288.2.v.b.109.2 | 8 | 96.77 | odd | 8 | |||
512.2.g.e.193.1 | 8 | 16.5 | even | 4 | |||
512.2.g.e.321.1 | 8 | 32.21 | even | 8 | |||
512.2.g.f.193.1 | 8 | 16.3 | odd | 4 | |||
512.2.g.f.321.1 | 8 | 32.27 | odd | 8 | |||
512.2.g.g.193.2 | 8 | 16.11 | odd | 4 | |||
512.2.g.g.321.2 | 8 | 32.11 | odd | 8 | |||
512.2.g.h.193.2 | 8 | 16.13 | even | 4 | |||
512.2.g.h.321.2 | 8 | 32.5 | even | 8 | |||
800.2.y.b.101.2 | 8 | 5.4 | even | 2 | |||
800.2.y.b.301.2 | 8 | 160.109 | even | 8 | |||
800.2.ba.c.549.2 | 8 | 5.2 | odd | 4 | |||
800.2.ba.c.749.2 | 8 | 160.13 | odd | 8 | |||
800.2.ba.d.549.1 | 8 | 5.3 | odd | 4 | |||
800.2.ba.d.749.1 | 8 | 160.77 | odd | 8 | |||
1152.2.v.b.145.1 | 8 | 96.83 | even | 8 | |||
1152.2.v.b.1009.1 | 8 | 12.11 | even | 2 | |||
4096.2.a.k.1.1 | 8 | 64.13 | even | 16 | |||
4096.2.a.k.1.8 | 8 | 64.45 | even | 16 | |||
4096.2.a.q.1.1 | 8 | 64.19 | odd | 16 | |||
4096.2.a.q.1.8 | 8 | 64.51 | odd | 16 |