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 | 13.3 | ||
Character | \(\chi\) | \(=\) | 81.13 |
Dual form | 81.2.g.a.25.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07782 | − | 0.541304i | −0.762137 | − | 0.382759i | 0.0248805 | − | 0.999690i | \(-0.492079\pi\) |
−0.787017 | + | 0.616931i | \(0.788376\pi\) | |||||||
\(3\) | −1.45923 | + | 0.933081i | −0.842488 | + | 0.538715i | ||||
\(4\) | −0.325622 | − | 0.437386i | −0.162811 | − | 0.218693i | ||||
\(5\) | 1.12732 | + | 3.76550i | 0.504152 | + | 1.68398i | 0.709015 | + | 0.705194i | \(0.249140\pi\) |
−0.204863 | + | 0.978791i | \(0.565675\pi\) | |||||||
\(6\) | 2.07788 | − | 0.215810i | 0.848289 | − | 0.0881040i | ||||
\(7\) | 0.736444 | + | 1.70727i | 0.278350 | + | 0.645287i | 0.998839 | − | 0.0481791i | \(-0.0153418\pi\) |
−0.720489 | + | 0.693466i | \(0.756083\pi\) | |||||||
\(8\) | 0.533084 | + | 3.02327i | 0.188474 | + | 1.06889i | ||||
\(9\) | 1.25872 | − | 2.72317i | 0.419573 | − | 0.907722i | ||||
\(10\) | 0.823230 | − | 4.66877i | 0.260328 | − | 1.47640i | ||||
\(11\) | −4.71857 | + | 1.11832i | −1.42270 | + | 0.337187i | −0.868704 | − | 0.495331i | \(-0.835047\pi\) |
−0.553998 | + | 0.832518i | \(0.686898\pi\) | |||||||
\(12\) | 0.883275 | + | 0.334416i | 0.254980 | + | 0.0965377i | ||||
\(13\) | 0.260059 | + | 0.171044i | 0.0721275 | + | 0.0474390i | 0.585061 | − | 0.810990i | \(-0.301071\pi\) |
−0.512933 | + | 0.858429i | \(0.671441\pi\) | |||||||
\(14\) | 0.130394 | − | 2.23878i | 0.0348492 | − | 0.598338i | ||||
\(15\) | −5.15854 | − | 4.44287i | −1.33193 | − | 1.14714i | ||||
\(16\) | 0.749157 | − | 2.50236i | 0.187289 | − | 0.625589i | ||||
\(17\) | 3.17561 | − | 1.15583i | 0.770198 | − | 0.280329i | 0.0731188 | − | 0.997323i | \(-0.476705\pi\) |
0.697079 | + | 0.716994i | \(0.254483\pi\) | |||||||
\(18\) | −2.83074 | + | 2.25374i | −0.667211 | + | 0.531213i | ||||
\(19\) | 1.05997 | + | 0.385798i | 0.243174 | + | 0.0885081i | 0.460732 | − | 0.887539i | \(-0.347587\pi\) |
−0.217558 | + | 0.976047i | \(0.569809\pi\) | |||||||
\(20\) | 1.27990 | − | 1.71920i | 0.286194 | − | 0.384426i | ||||
\(21\) | −2.66766 | − | 1.80414i | −0.582132 | − | 0.393696i | ||||
\(22\) | 5.69114 | + | 1.34882i | 1.21335 | + | 0.287570i | ||||
\(23\) | 0.902427 | − | 2.09206i | 0.188169 | − | 0.436225i | −0.797850 | − | 0.602856i | \(-0.794030\pi\) |
0.986019 | + | 0.166631i | \(0.0532888\pi\) | |||||||
\(24\) | −3.59885 | − | 3.91424i | −0.734612 | − | 0.798991i | ||||
\(25\) | −8.73073 | + | 5.74229i | −1.74615 | + | 1.14846i | ||||
\(26\) | −0.187712 | − | 0.325126i | −0.0368133 | − | 0.0637625i | ||||
\(27\) | 0.704172 | + | 5.14822i | 0.135518 | + | 0.990775i | ||||
\(28\) | 0.506934 | − | 0.878035i | 0.0958015 | − | 0.165933i | ||||
\(29\) | −0.166624 | − | 2.86083i | −0.0309413 | − | 0.531242i | −0.977793 | − | 0.209572i | \(-0.932793\pi\) |
0.946852 | − | 0.321670i | \(-0.104244\pi\) | |||||||
\(30\) | 3.15506 | + | 7.58096i | 0.576032 | + | 1.38409i | ||||
\(31\) | 4.82793 | − | 0.564304i | 0.867122 | − | 0.101352i | 0.329112 | − | 0.944291i | \(-0.393251\pi\) |
0.538009 | + | 0.842939i | \(0.319176\pi\) | |||||||
\(32\) | 2.05140 | − | 2.17436i | 0.362640 | − | 0.384376i | ||||
\(33\) | 5.84200 | − | 6.03470i | 1.01696 | − | 1.05051i | ||||
\(34\) | −4.04840 | − | 0.473190i | −0.694295 | − | 0.0811514i | ||||
\(35\) | −5.59852 | + | 4.69772i | −0.946323 | + | 0.794059i | ||||
\(36\) | −1.60094 | + | 0.336176i | −0.266824 | + | 0.0560294i | ||||
\(37\) | 8.69541 | + | 7.29632i | 1.42952 | + | 1.19951i | 0.945998 | + | 0.324173i | \(0.105086\pi\) |
0.483519 | + | 0.875334i | \(0.339358\pi\) | |||||||
\(38\) | −0.933628 | − | 0.989588i | −0.151455 | − | 0.160532i | ||||
\(39\) | −0.539085 | − | 0.00693600i | −0.0863227 | − | 0.00111065i | ||||
\(40\) | −10.7832 | + | 5.41551i | −1.70497 | + | 0.856268i | ||||
\(41\) | 1.29097 | − | 0.648347i | 0.201615 | − | 0.101255i | −0.345127 | − | 0.938556i | \(-0.612164\pi\) |
0.546742 | + | 0.837301i | \(0.315868\pi\) | |||||||
\(42\) | 1.89869 | + | 3.38856i | 0.292974 | + | 0.522867i | ||||
\(43\) | −3.07034 | − | 3.25437i | −0.468222 | − | 0.496287i | 0.449627 | − | 0.893217i | \(-0.351557\pi\) |
−0.917849 | + | 0.396930i | \(0.870076\pi\) | |||||||
\(44\) | 2.02561 | + | 1.69969i | 0.305372 | + | 0.256237i | ||||
\(45\) | 11.6731 | + | 1.66984i | 1.74012 | + | 0.248924i | ||||
\(46\) | −2.10510 | + | 1.76639i | −0.310380 | + | 0.260439i | ||||
\(47\) | 3.90295 | + | 0.456189i | 0.569304 | + | 0.0665420i | 0.395875 | − | 0.918304i | \(-0.370441\pi\) |
0.173429 | + | 0.984846i | \(0.444515\pi\) | |||||||
\(48\) | 1.24171 | + | 4.35054i | 0.179225 | + | 0.627947i | ||||
\(49\) | 2.43127 | − | 2.57700i | 0.347325 | − | 0.368142i | ||||
\(50\) | 12.5185 | − | 1.46320i | 1.77039 | − | 0.206928i | ||||
\(51\) | −3.55547 | + | 4.64972i | −0.497865 | + | 0.651091i | ||||
\(52\) | −0.00986888 | − | 0.169442i | −0.00136857 | − | 0.0234974i | ||||
\(53\) | −0.812932 | + | 1.40804i | −0.111665 | + | 0.193409i | −0.916442 | − | 0.400168i | \(-0.868952\pi\) |
0.804777 | + | 0.593577i | \(0.202285\pi\) | |||||||
\(54\) | 2.02777 | − | 5.93004i | 0.275945 | − | 0.806977i | ||||
\(55\) | −9.53037 | − | 16.5071i | −1.28507 | − | 2.22581i | ||||
\(56\) | −4.76895 | + | 3.13659i | −0.637278 | + | 0.419144i | ||||
\(57\) | −1.90672 | + | 0.426070i | −0.252552 | + | 0.0564344i | ||||
\(58\) | −1.36898 | + | 3.17366i | −0.179756 | + | 0.416722i | ||||
\(59\) | −9.72169 | − | 2.30408i | −1.26566 | − | 0.299966i | −0.457646 | − | 0.889134i | \(-0.651307\pi\) |
−0.808010 | + | 0.589168i | \(0.799455\pi\) | |||||||
\(60\) | −0.263514 | + | 3.70297i | −0.0340195 | + | 0.478051i | ||||
\(61\) | −0.456702 | + | 0.613457i | −0.0584747 | + | 0.0785451i | −0.830399 | − | 0.557170i | \(-0.811887\pi\) |
0.771924 | + | 0.635715i | \(0.219295\pi\) | |||||||
\(62\) | −5.50912 | − | 2.00515i | −0.699659 | − | 0.254655i | ||||
\(63\) | 5.57615 | + | 0.143512i | 0.702529 | + | 0.0180808i | ||||
\(64\) | −8.29717 | + | 3.01992i | −1.03715 | + | 0.377490i | ||||
\(65\) | −0.350896 | + | 1.17208i | −0.0435233 | + | 0.145378i | ||||
\(66\) | −9.56326 | + | 3.34205i | −1.17716 | + | 0.411378i | ||||
\(67\) | −0.0428458 | + | 0.735633i | −0.00523444 | + | 0.0898719i | −0.999914 | − | 0.0131499i | \(-0.995814\pi\) |
0.994679 | + | 0.103022i | \(0.0328512\pi\) | |||||||
\(68\) | −1.53959 | − | 1.01260i | −0.186703 | − | 0.122796i | ||||
\(69\) | 0.635212 | + | 3.89484i | 0.0764706 | + | 0.468884i | ||||
\(70\) | 8.57712 | − | 2.03281i | 1.02516 | − | 0.242968i | ||||
\(71\) | 1.18078 | − | 6.69652i | 0.140133 | − | 0.794731i | −0.831015 | − | 0.556250i | \(-0.812240\pi\) |
0.971147 | − | 0.238481i | \(-0.0766493\pi\) | |||||||
\(72\) | 8.90386 | + | 2.35377i | 1.04933 | + | 0.277394i | ||||
\(73\) | −0.692009 | − | 3.92458i | −0.0809935 | − | 0.459337i | −0.998149 | − | 0.0608086i | \(-0.980632\pi\) |
0.917156 | − | 0.398529i | \(-0.130479\pi\) | |||||||
\(74\) | −5.42260 | − | 12.5710i | −0.630365 | − | 1.46135i | ||||
\(75\) | 7.38214 | − | 16.5258i | 0.852416 | − | 1.90824i | ||||
\(76\) | −0.176407 | − | 0.589241i | −0.0202353 | − | 0.0675906i | ||||
\(77\) | −5.38424 | − | 7.23229i | −0.613591 | − | 0.824196i | ||||
\(78\) | 0.577284 | + | 0.299284i | 0.0653646 | + | 0.0338873i | ||||
\(79\) | 11.0976 | + | 5.57340i | 1.24857 | + | 0.627057i | 0.945410 | − | 0.325882i | \(-0.105661\pi\) |
0.303162 | + | 0.952939i | \(0.401958\pi\) | |||||||
\(80\) | 10.2672 | 1.14790 | ||||||||
\(81\) | −5.83126 | − | 6.85540i | −0.647917 | − | 0.761711i | ||||
\(82\) | −1.74239 | −0.192414 | ||||||||
\(83\) | 6.61608 | + | 3.32272i | 0.726209 | + | 0.364716i | 0.773185 | − | 0.634180i | \(-0.218662\pi\) |
−0.0469762 | + | 0.998896i | \(0.514958\pi\) | |||||||
\(84\) | 0.0795440 | + | 1.75427i | 0.00867896 | + | 0.191406i | ||||
\(85\) | 7.93219 | + | 10.6548i | 0.860367 | + | 1.15567i | ||||
\(86\) | 1.54768 | + | 5.16962i | 0.166891 | + | 0.557455i | ||||
\(87\) | 2.91253 | + | 4.01913i | 0.312256 | + | 0.430896i | ||||
\(88\) | −5.89638 | − | 13.6693i | −0.628556 | − | 1.45716i | ||||
\(89\) | 0.943990 | + | 5.35363i | 0.100063 | + | 0.567484i | 0.993078 | + | 0.117458i | \(0.0374744\pi\) |
−0.893015 | + | 0.450027i | \(0.851414\pi\) | |||||||
\(90\) | −11.6776 | − | 8.11846i | −1.23093 | − | 0.855761i | ||||
\(91\) | −0.100499 | + | 0.569956i | −0.0105351 | + | 0.0597476i | ||||
\(92\) | −1.20889 | + | 0.286512i | −0.126035 | + | 0.0298709i | ||||
\(93\) | −6.51853 | + | 5.32830i | −0.675940 | + | 0.552519i | ||||
\(94\) | −3.95975 | − | 2.60437i | −0.408418 | − | 0.268620i | ||||
\(95\) | −0.257799 | + | 4.42624i | −0.0264496 | + | 0.454123i | ||||
\(96\) | −0.964619 | + | 5.08702i | −0.0984510 | + | 0.519192i | ||||
\(97\) | −1.32068 | + | 4.41138i | −0.134095 | + | 0.447908i | −0.998492 | − | 0.0549021i | \(-0.982515\pi\) |
0.864397 | + | 0.502810i | \(0.167701\pi\) | |||||||
\(98\) | −4.01542 | + | 1.46149i | −0.405619 | + | 0.147633i | ||||
\(99\) | −2.89398 | + | 14.2571i | −0.290855 | + | 1.43289i | ||||
\(100\) | 5.35452 | + | 1.94888i | 0.535452 | + | 0.194888i | ||||
\(101\) | 6.41627 | − | 8.61855i | 0.638443 | − | 0.857578i | −0.358674 | − | 0.933463i | \(-0.616771\pi\) |
0.997117 | + | 0.0758854i | \(0.0241783\pi\) | |||||||
\(102\) | 6.34908 | − | 3.08699i | 0.628653 | − | 0.305658i | ||||
\(103\) | −11.4312 | − | 2.70923i | −1.12635 | − | 0.266949i | −0.375108 | − | 0.926981i | \(-0.622394\pi\) |
−0.751237 | + | 0.660032i | \(0.770543\pi\) | |||||||
\(104\) | −0.378478 | + | 0.877411i | −0.0371128 | + | 0.0860372i | ||||
\(105\) | 3.78619 | − | 12.0789i | 0.369495 | − | 1.17878i | ||||
\(106\) | 1.63837 | − | 1.07758i | 0.159133 | − | 0.104663i | ||||
\(107\) | 3.20979 | + | 5.55953i | 0.310302 | + | 0.537460i | 0.978428 | − | 0.206589i | \(-0.0662363\pi\) |
−0.668125 | + | 0.744049i | \(0.732903\pi\) | |||||||
\(108\) | 2.02247 | − | 1.98437i | 0.194612 | − | 0.190946i | ||||
\(109\) | −1.72147 | + | 2.98167i | −0.164887 | + | 0.285592i | −0.936615 | − | 0.350360i | \(-0.886059\pi\) |
0.771728 | + | 0.635952i | \(0.219393\pi\) | |||||||
\(110\) | 1.33672 | + | 22.9506i | 0.127451 | + | 2.18825i | ||||
\(111\) | −19.4967 | − | 2.53349i | −1.85054 | − | 0.240469i | ||||
\(112\) | 4.82391 | − | 0.563834i | 0.455817 | − | 0.0532773i | ||||
\(113\) | −10.6387 | + | 11.2763i | −1.00080 | + | 1.06079i | −0.00265125 | + | 0.999996i | \(0.500844\pi\) |
−0.998150 | + | 0.0607914i | \(0.980638\pi\) | |||||||
\(114\) | 2.28575 | + | 0.572888i | 0.214080 | + | 0.0536559i | ||||
\(115\) | 8.89498 | + | 1.03967i | 0.829461 | + | 0.0969501i | ||||
\(116\) | −1.19703 | + | 1.00443i | −0.111141 | + | 0.0932587i | ||||
\(117\) | 0.793122 | − | 0.492889i | 0.0733242 | − | 0.0455676i | ||||
\(118\) | 9.23106 | + | 7.74578i | 0.849788 | + | 0.713057i | ||||
\(119\) | 4.31197 | + | 4.57042i | 0.395277 | + | 0.418969i | ||||
\(120\) | 10.6820 | − | 17.9641i | 0.975133 | − | 1.63989i | ||||
\(121\) | 11.1843 | − | 5.61696i | 1.01675 | − | 0.510633i | ||||
\(122\) | 0.824311 | − | 0.413984i | 0.0746296 | − | 0.0374804i | ||||
\(123\) | −1.27886 | + | 2.15067i | −0.115311 | + | 0.193919i | ||||
\(124\) | −1.81890 | − | 1.92792i | −0.163342 | − | 0.173132i | ||||
\(125\) | −16.4097 | − | 13.7694i | −1.46773 | − | 1.23157i | ||||
\(126\) | −5.93243 | − | 3.17307i | −0.528503 | − | 0.282680i | ||||
\(127\) | −9.04687 | + | 7.59122i | −0.802780 | + | 0.673612i | −0.948873 | − | 0.315659i | \(-0.897775\pi\) |
0.146093 | + | 0.989271i | \(0.453330\pi\) | |||||||
\(128\) | 4.63935 | + | 0.542262i | 0.410064 | + | 0.0479296i | ||||
\(129\) | 7.51693 | + | 1.88400i | 0.661829 | + | 0.165877i | ||||
\(130\) | 1.01265 | − | 1.07335i | 0.0888156 | − | 0.0941390i | ||||
\(131\) | 17.5697 | − | 2.05361i | 1.53507 | − | 0.179424i | 0.693853 | − | 0.720117i | \(-0.255912\pi\) |
0.841220 | + | 0.540693i | \(0.181838\pi\) | |||||||
\(132\) | −4.54178 | − | 0.590181i | −0.395311 | − | 0.0513687i | ||||
\(133\) | 0.121948 | + | 2.09377i | 0.0105743 | + | 0.181553i | ||||
\(134\) | 0.444381 | − | 0.769691i | 0.0383887 | − | 0.0664911i | ||||
\(135\) | −18.5918 | + | 8.45524i | −1.60013 | + | 0.727711i | ||||
\(136\) | 5.18724 | + | 8.98457i | 0.444802 | + | 0.770420i | ||||
\(137\) | 5.82369 | − | 3.83030i | 0.497551 | − | 0.327245i | −0.275808 | − | 0.961213i | \(-0.588945\pi\) |
0.773359 | + | 0.633968i | \(0.218575\pi\) | |||||||
\(138\) | 1.42364 | − | 4.54179i | 0.121189 | − | 0.386623i | ||||
\(139\) | 2.49688 | − | 5.78842i | 0.211783 | − | 0.490967i | −0.778902 | − | 0.627146i | \(-0.784223\pi\) |
0.990684 | + | 0.136179i | \(0.0434822\pi\) | |||||||
\(140\) | 3.87772 | + | 0.919036i | 0.327727 | + | 0.0776728i | ||||
\(141\) | −6.12097 | + | 2.97608i | −0.515479 | + | 0.250631i | ||||
\(142\) | −4.89752 | + | 6.57851i | −0.410991 | + | 0.552057i | ||||
\(143\) | −1.41839 | − | 0.516252i | −0.118612 | − | 0.0431712i | ||||
\(144\) | −5.87135 | − | 5.18984i | −0.489280 | − | 0.432487i | ||||
\(145\) | 10.5846 | − | 3.85248i | 0.879004 | − | 0.319931i | ||||
\(146\) | −1.37852 | + | 4.60459i | −0.114088 | + | 0.381079i | ||||
\(147\) | −1.14324 | + | 6.02901i | −0.0942930 | + | 0.497265i | ||||
\(148\) | 0.359891 | − | 6.17909i | 0.0295829 | − | 0.507918i | ||||
\(149\) | −18.9467 | − | 12.4614i | −1.55217 | − | 1.02088i | −0.979584 | − | 0.201038i | \(-0.935569\pi\) |
−0.572589 | − | 0.819842i | \(-0.694061\pi\) | |||||||
\(150\) | −16.9021 | + | 13.8159i | −1.38005 | + | 1.12807i | ||||
\(151\) | 14.1006 | − | 3.34191i | 1.14749 | − | 0.271961i | 0.387485 | − | 0.921876i | \(-0.373344\pi\) |
0.760007 | + | 0.649915i | \(0.225196\pi\) | |||||||
\(152\) | −0.601317 | + | 3.41024i | −0.0487733 | + | 0.276607i | ||||
\(153\) | 0.849688 | − | 10.1026i | 0.0686932 | − | 0.816744i | ||||
\(154\) | 1.88840 | + | 10.7096i | 0.152172 | + | 0.863008i | ||||
\(155\) | 7.56750 | + | 17.5434i | 0.607836 | + | 1.40912i | ||||
\(156\) | 0.172504 | + | 0.238047i | 0.0138114 | + | 0.0190590i | ||||
\(157\) | −3.26203 | − | 10.8960i | −0.260339 | − | 0.869592i | −0.983807 | − | 0.179234i | \(-0.942638\pi\) |
0.723468 | − | 0.690358i | \(-0.242547\pi\) | |||||||
\(158\) | −8.94431 | − | 12.0143i | −0.711571 | − | 0.955806i | ||||
\(159\) | −0.127559 | − | 2.81319i | −0.0101161 | − | 0.223100i | ||||
\(160\) | 10.5001 | + | 5.27337i | 0.830109 | + | 0.416897i | ||||
\(161\) | 4.23630 | 0.333867 | ||||||||
\(162\) | 2.57422 | + | 10.5454i | 0.202250 | + | 0.828524i | ||||
\(163\) | −0.789620 | −0.0618478 | −0.0309239 | − | 0.999522i | \(-0.509845\pi\) | ||||
−0.0309239 | + | 0.999522i | \(0.509845\pi\) | |||||||
\(164\) | −0.703945 | − | 0.353534i | −0.0549689 | − | 0.0276064i | ||||
\(165\) | 29.3095 | + | 15.1951i | 2.28174 | + | 1.18293i | ||||
\(166\) | −5.33237 | − | 7.16262i | −0.413872 | − | 0.555927i | ||||
\(167\) | 1.66480 | + | 5.56083i | 0.128826 | + | 0.430310i | 0.997929 | − | 0.0643213i | \(-0.0204882\pi\) |
−0.869103 | + | 0.494631i | \(0.835303\pi\) | |||||||
\(168\) | 4.03231 | − | 9.02683i | 0.311100 | − | 0.696435i | ||||
\(169\) | −5.11066 | − | 11.8478i | −0.393128 | − | 0.911373i | ||||
\(170\) | −2.78203 | − | 15.7777i | −0.213372 | − | 1.21009i | ||||
\(171\) | 2.38480 | − | 2.40086i | 0.182370 | − | 0.183599i | ||||
\(172\) | −0.423646 | + | 2.40262i | −0.0323027 | + | 0.183198i | ||||
\(173\) | −3.38372 | + | 0.801956i | −0.257259 | + | 0.0609716i | −0.357222 | − | 0.934020i | \(-0.616276\pi\) |
0.0999623 | + | 0.994991i | \(0.468128\pi\) | |||||||
\(174\) | −0.963619 | − | 5.90848i | −0.0730517 | − | 0.447921i | ||||
\(175\) | −16.2333 | − | 10.6768i | −1.22712 | − | 0.807093i | ||||
\(176\) | −0.736507 | + | 12.6453i | −0.0555163 | + | 0.953179i | ||||
\(177\) | 16.3361 | − | 5.70894i | 1.22790 | − | 0.429110i | ||||
\(178\) | 1.88049 | − | 6.28126i | 0.140948 | − | 0.470800i | ||||
\(179\) | 7.34454 | − | 2.67320i | 0.548957 | − | 0.199804i | −0.0526260 | − | 0.998614i | \(-0.516759\pi\) |
0.601583 | + | 0.798810i | \(0.294537\pi\) | |||||||
\(180\) | −3.07064 | − | 5.64937i | −0.228872 | − | 0.421079i | ||||
\(181\) | −10.9891 | − | 3.99971i | −0.816815 | − | 0.297296i | −0.100379 | − | 0.994949i | \(-0.532006\pi\) |
−0.716436 | + | 0.697653i | \(0.754228\pi\) | |||||||
\(182\) | 0.416839 | − | 0.559912i | 0.0308982 | − | 0.0415034i | ||||
\(183\) | 0.0940288 | − | 1.32132i | 0.00695081 | − | 0.0976745i | ||||
\(184\) | 6.80593 | + | 1.61304i | 0.501740 | + | 0.118915i | ||||
\(185\) | −17.6718 | + | 40.9679i | −1.29926 | + | 3.01202i | ||||
\(186\) | 9.91006 | − | 2.21447i | 0.726641 | − | 0.162373i | ||||
\(187\) | −13.6917 | + | 9.00520i | −1.00124 | + | 0.658525i | ||||
\(188\) | −1.07135 | − | 1.85564i | −0.0781366 | − | 0.135337i | ||||
\(189\) | −8.27081 | + | 4.99359i | −0.601613 | + | 0.363230i | ||||
\(190\) | 2.67380 | − | 4.63116i | 0.193978 | − | 0.335980i | ||||
\(191\) | −0.846085 | − | 14.5267i | −0.0612206 | − | 1.05112i | −0.879378 | − | 0.476123i | \(-0.842042\pi\) |
0.818158 | − | 0.574994i | \(-0.194995\pi\) | |||||||
\(192\) | 9.28966 | − | 12.1487i | 0.670424 | − | 0.876757i | ||||
\(193\) | −16.9026 | + | 1.97563i | −1.21668 | + | 0.142209i | −0.700108 | − | 0.714037i | \(-0.746865\pi\) |
−0.516568 | + | 0.856246i | \(0.672791\pi\) | |||||||
\(194\) | 3.81136 | − | 4.03981i | 0.273640 | − | 0.290041i | ||||
\(195\) | −0.581602 | − | 2.03775i | −0.0416494 | − | 0.145926i | ||||
\(196\) | −1.91882 | − | 0.224278i | −0.137058 | − | 0.0160198i | ||||
\(197\) | 9.53813 | − | 8.00344i | 0.679563 | − | 0.570221i | −0.236315 | − | 0.971676i | \(-0.575940\pi\) |
0.915879 | + | 0.401455i | \(0.131495\pi\) | |||||||
\(198\) | 10.8366 | − | 13.8001i | 0.770125 | − | 0.980732i | ||||
\(199\) | −16.5214 | − | 13.8631i | −1.17117 | − | 0.982731i | −0.171177 | − | 0.985240i | \(-0.554757\pi\) |
−0.999997 | + | 0.00250896i | \(0.999201\pi\) | |||||||
\(200\) | −22.0147 | − | 23.3342i | −1.55667 | − | 1.64998i | ||||
\(201\) | −0.623884 | − | 1.11344i | −0.0440054 | − | 0.0785359i | ||||
\(202\) | −11.5809 | + | 5.81613i | −0.814827 | + | 0.409221i | ||||
\(203\) | 4.76149 | − | 2.39131i | 0.334191 | − | 0.167837i | ||||
\(204\) | 3.19146 | + | 0.0410622i | 0.223447 | + | 0.00287493i | ||||
\(205\) | 3.89668 | + | 4.13024i | 0.272156 | + | 0.288469i | ||||
\(206\) | 10.8543 | + | 9.10781i | 0.756252 | + | 0.634571i | ||||
\(207\) | −4.56112 | − | 5.09077i | −0.317020 | − | 0.353833i | ||||
\(208\) | 0.622838 | − | 0.522623i | 0.0431860 | − | 0.0362374i | ||||
\(209\) | −5.43299 | − | 0.635026i | −0.375808 | − | 0.0439256i | ||||
\(210\) | −10.6192 | + | 10.9695i | −0.732796 | + | 0.756967i | ||||
\(211\) | 8.69998 | − | 9.22144i | 0.598931 | − | 0.634830i | −0.354996 | − | 0.934868i | \(-0.615518\pi\) |
0.953927 | + | 0.300038i | \(0.0969993\pi\) | |||||||
\(212\) | 0.880565 | − | 0.102923i | 0.0604775 | − | 0.00706880i | ||||
\(213\) | 4.52537 | + | 10.8735i | 0.310073 | + | 0.745043i | ||||
\(214\) | −0.450202 | − | 7.72966i | −0.0307752 | − | 0.528389i | ||||
\(215\) | 8.79309 | − | 15.2301i | 0.599684 | − | 1.03868i | ||||
\(216\) | −15.1891 | + | 4.87333i | −1.03348 | + | 0.331588i | ||||
\(217\) | 4.51892 | + | 7.82700i | 0.306764 | + | 0.531331i | ||||
\(218\) | 3.46943 | − | 2.28188i | 0.234979 | − | 0.154548i | ||||
\(219\) | 4.67175 | + | 5.08117i | 0.315688 | + | 0.343354i | ||||
\(220\) | −4.11667 | + | 9.54352i | −0.277546 | + | 0.643424i | ||||
\(221\) | 1.02354 | + | 0.242584i | 0.0688510 | + | 0.0163180i | ||||
\(222\) | 19.6426 | + | 13.2843i | 1.31833 | + | 0.891583i | ||||
\(223\) | −2.94086 | + | 3.95026i | −0.196934 | + | 0.264529i | −0.889611 | − | 0.456720i | \(-0.849024\pi\) |
0.692676 | + | 0.721249i | \(0.256432\pi\) | |||||||
\(224\) | 5.22297 | + | 1.90100i | 0.348974 | + | 0.127016i | ||||
\(225\) | 4.64768 | + | 31.0031i | 0.309845 | + | 2.06688i | ||||
\(226\) | 17.5705 | − | 6.39515i | 1.16877 | − | 0.425399i | ||||
\(227\) | 1.84316 | − | 6.15657i | 0.122335 | − | 0.408626i | −0.874781 | − | 0.484518i | \(-0.838995\pi\) |
0.997116 | + | 0.0758915i | \(0.0241803\pi\) | |||||||
\(228\) | 0.807229 | + | 0.695237i | 0.0534600 | + | 0.0460432i | ||||
\(229\) | −1.72908 | + | 29.6872i | −0.114261 | + | 1.96178i | 0.128534 | + | 0.991705i | \(0.458973\pi\) |
−0.242795 | + | 0.970078i | \(0.578064\pi\) | |||||||
\(230\) | −9.02445 | − | 5.93547i | −0.595054 | − | 0.391373i | ||||
\(231\) | 14.6052 | + | 5.52966i | 0.960950 | + | 0.363825i | ||||
\(232\) | 8.56022 | − | 2.02881i | 0.562006 | − | 0.133198i | ||||
\(233\) | 3.77489 | − | 21.4085i | 0.247301 | − | 1.40252i | −0.567786 | − | 0.823176i | \(-0.692200\pi\) |
0.815087 | − | 0.579339i | \(-0.196689\pi\) | |||||||
\(234\) | −1.12165 | + | 0.101928i | −0.0733245 | + | 0.00666322i | ||||
\(235\) | 2.68208 | + | 15.2108i | 0.174960 | + | 0.992245i | ||||
\(236\) | 2.15782 | + | 5.00239i | 0.140462 | + | 0.325628i | ||||
\(237\) | −21.3944 | + | 2.22203i | −1.38971 | + | 0.144337i | ||||
\(238\) | −2.17356 | − | 7.26019i | −0.140891 | − | 0.470608i | ||||
\(239\) | 3.55200 | + | 4.77116i | 0.229760 | + | 0.308621i | 0.902020 | − | 0.431694i | \(-0.142084\pi\) |
−0.672261 | + | 0.740315i | \(0.734677\pi\) | |||||||
\(240\) | −14.9822 | + | 9.58011i | −0.967096 | + | 0.618393i | ||||
\(241\) | −1.05990 | − | 0.532302i | −0.0682741 | − | 0.0342886i | 0.414335 | − | 0.910125i | \(-0.364014\pi\) |
−0.482609 | + | 0.875836i | \(0.660311\pi\) | |||||||
\(242\) | −15.0952 | −0.970355 | ||||||||
\(243\) | 14.9058 | + | 4.56258i | 0.956208 | + | 0.292689i | ||||
\(244\) | 0.417030 | 0.0266976 | ||||||||
\(245\) | 12.4445 | + | 6.24987i | 0.795050 | + | 0.399289i | ||||
\(246\) | 2.54255 | − | 1.62579i | 0.162107 | − | 0.103656i | ||||
\(247\) | 0.209667 | + | 0.281632i | 0.0133408 | + | 0.0179198i | ||||
\(248\) | 4.27973 | + | 14.2953i | 0.271763 | + | 0.907753i | ||||
\(249\) | −12.7548 | + | 1.32472i | −0.808301 | + | 0.0839507i | ||||
\(250\) | 10.2334 | + | 23.7236i | 0.647216 | + | 1.50041i | ||||
\(251\) | 2.34580 | + | 13.3037i | 0.148066 | + | 0.839722i | 0.964854 | + | 0.262785i | \(0.0846410\pi\) |
−0.816789 | + | 0.576937i | \(0.804248\pi\) | |||||||
\(252\) | −1.75295 | − | 2.48566i | −0.110425 | − | 0.156582i | ||||
\(253\) | −1.91857 | + | 10.8807i | −0.120619 | + | 0.684066i | ||||
\(254\) | 13.8601 | − | 3.28490i | 0.869659 | − | 0.206113i | ||||
\(255\) | −21.5167 | − | 8.14642i | −1.34743 | − | 0.510149i | ||||
\(256\) | 10.0473 | + | 6.60820i | 0.627955 | + | 0.413013i | ||||
\(257\) | 1.42333 | − | 24.4376i | 0.0887849 | − | 1.52438i | −0.600345 | − | 0.799741i | \(-0.704970\pi\) |
0.689130 | − | 0.724637i | \(-0.257993\pi\) | |||||||
\(258\) | −7.08211 | − | 6.09957i | −0.440913 | − | 0.379742i | ||||
\(259\) | −6.05309 | + | 20.2187i | −0.376121 | + | 1.25633i | ||||
\(260\) | 0.626909 | − | 0.228176i | 0.0388793 | − | 0.0141509i | ||||
\(261\) | −8.00023 | − | 3.14723i | −0.495202 | − | 0.194809i | ||||
\(262\) | −20.0487 | − | 7.29712i | −1.23861 | − | 0.450818i | ||||
\(263\) | −12.9529 | + | 17.3987i | −0.798708 | + | 1.07285i | 0.197009 | + | 0.980402i | \(0.436877\pi\) |
−0.995717 | + | 0.0924498i | \(0.970530\pi\) | |||||||
\(264\) | 21.3588 | + | 14.4449i | 1.31454 | + | 0.889025i | ||||
\(265\) | −6.21841 | − | 1.47379i | −0.381994 | − | 0.0905342i | ||||
\(266\) | 1.00193 | − | 2.32273i | 0.0614322 | − | 0.142416i | ||||
\(267\) | −6.37288 | − | 6.93138i | −0.390014 | − | 0.424193i | ||||
\(268\) | 0.335707 | − | 0.220798i | 0.0205066 | − | 0.0134874i | ||||
\(269\) | −2.87056 | − | 4.97195i | −0.175021 | − | 0.303145i | 0.765148 | − | 0.643855i | \(-0.222666\pi\) |
−0.940169 | + | 0.340710i | \(0.889333\pi\) | |||||||
\(270\) | 24.6155 | + | 0.950549i | 1.49805 | + | 0.0578486i | ||||
\(271\) | 7.23998 | − | 12.5400i | 0.439798 | − | 0.761752i | −0.557876 | − | 0.829924i | \(-0.688384\pi\) |
0.997674 | + | 0.0681726i | \(0.0217169\pi\) | |||||||
\(272\) | −0.513264 | − | 8.81240i | −0.0311212 | − | 0.534330i | ||||
\(273\) | −0.385164 | − | 0.925471i | −0.0233112 | − | 0.0560121i | ||||
\(274\) | −8.35027 | + | 0.976006i | −0.504458 | + | 0.0589627i | ||||
\(275\) | 34.7748 | − | 36.8592i | 2.09700 | − | 2.22269i | ||||
\(276\) | 1.49671 | − | 1.54608i | 0.0900914 | − | 0.0930630i | ||||
\(277\) | −11.7722 | − | 1.37598i | −0.707325 | − | 0.0826744i | −0.245178 | − | 0.969478i | \(-0.578846\pi\) |
−0.462146 | + | 0.886804i | \(0.652921\pi\) | |||||||
\(278\) | −5.82449 | + | 4.88733i | −0.349330 | + | 0.293122i | ||||
\(279\) | 4.54031 | − | 13.8575i | 0.271821 | − | 0.829630i | ||||
\(280\) | −17.1870 | − | 14.4216i | −1.02712 | − | 0.861853i | ||||
\(281\) | 10.4252 | + | 11.0501i | 0.621915 | + | 0.659192i | 0.959370 | − | 0.282150i | \(-0.0910475\pi\) |
−0.337455 | + | 0.941342i | \(0.609566\pi\) | |||||||
\(282\) | 8.20829 | + | 0.105610i | 0.488797 | + | 0.00628898i | ||||
\(283\) | 22.2931 | − | 11.1960i | 1.32519 | − | 0.665535i | 0.361452 | − | 0.932391i | \(-0.382281\pi\) |
0.963737 | + | 0.266856i | \(0.0859847\pi\) | |||||||
\(284\) | −3.31345 | + | 1.66408i | −0.196617 | + | 0.0987449i | ||||
\(285\) | −3.75385 | − | 6.69946i | −0.222359 | − | 0.396842i | ||||
\(286\) | 1.24933 | + | 1.32421i | 0.0738742 | + | 0.0783021i | ||||
\(287\) | 2.05763 | + | 1.72655i | 0.121458 | + | 0.101915i | ||||
\(288\) | −3.33900 | − | 8.32322i | −0.196753 | − | 0.490450i | ||||
\(289\) | −4.27421 | + | 3.58648i | −0.251424 | + | 0.210970i | ||||
\(290\) | −13.4937 | − | 1.57719i | −0.792378 | − | 0.0926157i | ||||
\(291\) | −2.18900 | − | 7.66954i | −0.128321 | − | 0.449596i | ||||
\(292\) | −1.49122 | + | 1.58060i | −0.0872672 | + | 0.0924979i | ||||
\(293\) | 8.51771 | − | 0.995577i | 0.497610 | − | 0.0581622i | 0.136413 | − | 0.990652i | \(-0.456442\pi\) |
0.361196 | + | 0.932490i | \(0.382368\pi\) | |||||||
\(294\) | 4.49574 | − | 5.87937i | 0.262197 | − | 0.342892i | ||||
\(295\) | −2.28340 | − | 39.2045i | −0.132945 | − | 2.28257i | ||||
\(296\) | −17.4233 | + | 30.1781i | −1.01271 | + | 1.75407i | ||||
\(297\) | −9.08005 | − | 23.5047i | −0.526878 | − | 1.36388i | ||||
\(298\) | 13.6758 | + | 23.6871i | 0.792216 | + | 1.37216i | ||||
\(299\) | 0.592519 | − | 0.389706i | 0.0342662 | − | 0.0225373i | ||||
\(300\) | −9.63195 | + | 2.15232i | −0.556101 | + | 0.124265i | ||||
\(301\) | 3.29495 | − | 7.63856i | 0.189918 | − | 0.440279i | ||||
\(302\) | −17.0070 | − | 4.03073i | −0.978641 | − | 0.231942i | ||||
\(303\) | −1.32102 | + | 18.5634i | −0.0758909 | + | 1.06644i | ||||
\(304\) | 1.75949 | − | 2.36340i | 0.100914 | − | 0.135550i | ||||
\(305\) | −2.82482 | − | 1.02815i | −0.161749 | − | 0.0588718i | ||||
\(306\) | −6.38437 | + | 10.4288i | −0.364970 | + | 0.596178i | ||||
\(307\) | 1.80059 | − | 0.655362i | 0.102765 | − | 0.0374035i | −0.290126 | − | 0.956989i | \(-0.593697\pi\) |
0.392891 | + | 0.919585i | \(0.371475\pi\) | |||||||
\(308\) | −1.41008 | + | 4.70998i | −0.0803466 | + | 0.268376i | ||||
\(309\) | 19.2087 | − | 6.71280i | 1.09274 | − | 0.381878i | ||||
\(310\) | 1.33989 | − | 23.0050i | 0.0761007 | − | 1.30660i | ||||
\(311\) | 12.7439 | + | 8.38182i | 0.722643 | + | 0.475290i | 0.856786 | − | 0.515672i | \(-0.172458\pi\) |
−0.134143 | + | 0.990962i | \(0.542828\pi\) | |||||||
\(312\) | −0.266408 | − | 1.63350i | −0.0150824 | − | 0.0924785i | ||||
\(313\) | −29.8816 | + | 7.08206i | −1.68901 | + | 0.400302i | −0.959060 | − | 0.283202i | \(-0.908603\pi\) |
−0.729947 | + | 0.683504i | \(0.760455\pi\) | |||||||
\(314\) | −2.38212 | + | 13.5097i | −0.134431 | + | 0.762395i | ||||
\(315\) | 5.74570 | + | 21.1588i | 0.323734 | + | 1.19216i | ||||
\(316\) | −1.17588 | − | 6.66874i | −0.0661484 | − | 0.375146i | ||||
\(317\) | −9.09096 | − | 21.0752i | −0.510599 | − | 1.18370i | −0.957320 | − | 0.289029i | \(-0.906668\pi\) |
0.446721 | − | 0.894673i | \(-0.352592\pi\) | |||||||
\(318\) | −1.38530 | + | 3.10117i | −0.0776839 | + | 0.173905i | ||||
\(319\) | 3.98555 | + | 13.3127i | 0.223148 | + | 0.745366i | ||||
\(320\) | −20.7251 | − | 27.8386i | −1.15857 | − | 1.55623i | ||||
\(321\) | −9.87133 | − | 5.11764i | −0.550964 | − | 0.285639i | ||||
\(322\) | −4.56598 | − | 2.29312i | −0.254452 | − | 0.127791i | ||||
\(323\) | 3.81197 | 0.212104 | ||||||||
\(324\) | −1.09967 | + | 4.78278i | −0.0610928 | + | 0.265710i | ||||
\(325\) | −3.25269 | −0.180427 | ||||||||
\(326\) | 0.851071 | + | 0.427424i | 0.0471365 | + | 0.0236728i | ||||
\(327\) | −0.270119 | − | 5.95722i | −0.0149376 | − | 0.329435i | ||||
\(328\) | 2.64832 | + | 3.55731i | 0.146229 | + | 0.196420i | ||||
\(329\) | 2.09547 | + | 6.99934i | 0.115527 | + | 0.385886i | ||||
\(330\) | −23.3653 | − | 32.2429i | −1.28622 | − | 1.77491i | ||||
\(331\) | −0.356898 | − | 0.827382i | −0.0196169 | − | 0.0454770i | 0.908126 | − | 0.418697i | \(-0.137513\pi\) |
−0.927743 | + | 0.373220i | \(0.878254\pi\) | |||||||
\(332\) | −0.701029 | − | 3.97573i | −0.0384740 | − | 0.218197i | ||||
\(333\) | 30.8141 | − | 14.4950i | 1.68860 | − | 0.794323i | ||||
\(334\) | 1.21573 | − | 6.89476i | 0.0665219 | − | 0.377265i | ||||
\(335\) | −2.81833 | + | 0.667956i | −0.153982 | + | 0.0364944i | ||||
\(336\) | −6.51310 | + | 5.32387i | −0.355319 | + | 0.290441i | ||||
\(337\) | 29.3783 | + | 19.3224i | 1.60034 | + | 1.05256i | 0.958253 | + | 0.285921i | \(0.0922996\pi\) |
0.642082 | + | 0.766636i | \(0.278071\pi\) | |||||||
\(338\) | −0.904887 | + | 15.5363i | −0.0492194 | + | 0.845064i | ||||
\(339\) | 5.00256 | − | 26.3815i | 0.271702 | − | 1.43285i | ||||
\(340\) | 2.07736 | − | 6.93886i | 0.112661 | − | 0.376313i | ||||
\(341\) | −22.1498 | + | 8.06188i | −1.19948 | + | 0.436575i | ||||
\(342\) | −3.86999 | + | 1.29681i | −0.209265 | + | 0.0701235i | ||||
\(343\) | 18.4205 | + | 6.70453i | 0.994616 | + | 0.362010i | ||||
\(344\) | 8.20209 | − | 11.0173i | 0.442227 | − | 0.594014i | ||||
\(345\) | −13.9499 | + | 6.78262i | −0.751040 | + | 0.365164i | ||||
\(346\) | 4.08116 | + | 0.967252i | 0.219404 | + | 0.0519998i | ||||
\(347\) | −6.01061 | + | 13.9342i | −0.322666 | + | 0.748025i | 0.677258 | + | 0.735745i | \(0.263168\pi\) |
−0.999925 | + | 0.0122793i | \(0.996091\pi\) | |||||||
\(348\) | 0.809532 | − | 2.58262i | 0.0433955 | − | 0.138443i | ||||
\(349\) | 23.6602 | − | 15.5615i | 1.26650 | − | 0.832989i | 0.274791 | − | 0.961504i | \(-0.411391\pi\) |
0.991708 | + | 0.128514i | \(0.0410208\pi\) | |||||||
\(350\) | 11.7173 | + | 20.2949i | 0.626315 | + | 1.08481i | ||||
\(351\) | −0.697444 | + | 1.45929i | −0.0372268 | + | 0.0778910i | ||||
\(352\) | −7.24806 | + | 12.5540i | −0.386323 | + | 0.669131i | ||||
\(353\) | 0.966039 | + | 16.5863i | 0.0514171 | + | 0.882797i | 0.921134 | + | 0.389246i | \(0.127264\pi\) |
−0.869717 | + | 0.493551i | \(0.835699\pi\) | |||||||
\(354\) | −20.6977 | − | 2.68956i | −1.10007 | − | 0.142949i | ||||
\(355\) | 26.5469 | − | 3.10289i | 1.40896 | − | 0.164684i | ||||
\(356\) | 2.03422 | − | 2.15615i | 0.107814 | − | 0.114276i | ||||
\(357\) | −10.5567 | − | 2.64589i | −0.558722 | − | 0.140035i | ||||
\(358\) | −9.36314 | − | 1.09439i | −0.494857 | − | 0.0578405i | ||||
\(359\) | −10.7593 | + | 9.02816i | −0.567856 | + | 0.476488i | −0.880934 | − | 0.473239i | \(-0.843085\pi\) |
0.313077 | + | 0.949728i | \(0.398640\pi\) | |||||||
\(360\) | 1.17436 | + | 36.1810i | 0.0618942 | + | 1.90690i | ||||
\(361\) | −13.5801 | − | 11.3951i | −0.714745 | − | 0.599742i | ||||
\(362\) | 9.67928 | + | 10.2594i | 0.508732 | + | 0.539224i | ||||
\(363\) | −11.0794 | + | 18.6323i | −0.581518 | + | 0.977943i | ||||
\(364\) | 0.282015 | − | 0.141633i | 0.0147816 | − | 0.00742361i | ||||
\(365\) | 13.9979 | − | 7.03001i | 0.732684 | − | 0.367968i | ||||
\(366\) | −0.816580 | + | 1.37325i | −0.0426833 | + | 0.0717808i | ||||
\(367\) | −3.75380 | − | 3.97880i | −0.195947 | − | 0.207692i | 0.621949 | − | 0.783058i | \(-0.286341\pi\) |
−0.817896 | + | 0.575366i | \(0.804860\pi\) | |||||||
\(368\) | −4.55902 | − | 3.82547i | −0.237656 | − | 0.199417i | ||||
\(369\) | −0.140595 | − | 4.33160i | −0.00731907 | − | 0.225494i | ||||
\(370\) | 41.2232 | − | 34.5903i | 2.14309 | − | 1.79827i | ||||
\(371\) | −3.00258 | − | 0.350951i | −0.155886 | − | 0.0182205i | ||||
\(372\) | 4.45310 | + | 1.11610i | 0.230883 | + | 0.0578672i | ||||
\(373\) | −19.4174 | + | 20.5812i | −1.00540 | + | 1.06566i | −0.00755468 | + | 0.999971i | \(0.502405\pi\) |
−0.997840 | + | 0.0656851i | \(0.979077\pi\) | |||||||
\(374\) | 19.6318 | − | 2.29463i | 1.01514 | − | 0.118653i | ||||
\(375\) | 36.7936 | + | 4.78114i | 1.90001 | + | 0.246897i | ||||
\(376\) | 0.701416 | + | 12.0429i | 0.0361728 | + | 0.621063i | ||||
\(377\) | 0.445994 | − | 0.772485i | 0.0229699 | − | 0.0397850i | ||||
\(378\) | 11.6175 | − | 0.905188i | 0.597541 | − | 0.0465579i | ||||
\(379\) | −8.11043 | − | 14.0477i | −0.416605 | − | 0.721580i | 0.578991 | − | 0.815334i | \(-0.303447\pi\) |
−0.995595 | + | 0.0937537i | \(0.970113\pi\) | |||||||
\(380\) | 2.01992 | − | 1.32852i | 0.103620 | − | 0.0681518i | ||||
\(381\) | 6.11825 | − | 19.5188i | 0.313448 | − | 0.999980i | ||||
\(382\) | −6.95144 | + | 16.1152i | −0.355667 | + | 0.824528i | ||||
\(383\) | −14.4122 | − | 3.41575i | −0.736427 | − | 0.174536i | −0.154747 | − | 0.987954i | \(-0.549456\pi\) |
−0.581680 | + | 0.813418i | \(0.697604\pi\) | |||||||
\(384\) | −7.27586 | + | 3.53760i | −0.371295 | + | 0.180528i | ||||
\(385\) | 21.1635 | − | 28.4275i | 1.07859 | − | 1.44880i | ||||
\(386\) | 19.2874 | + | 7.02006i | 0.981705 | + | 0.357311i | ||||
\(387\) | −12.7269 | + | 4.26471i | −0.646944 | + | 0.216787i | ||||
\(388\) | 2.35952 | − | 0.858795i | 0.119787 | − | 0.0435987i | ||||
\(389\) | 2.14188 | − | 7.15437i | 0.108598 | − | 0.362741i | −0.886365 | − | 0.462987i | \(-0.846778\pi\) |
0.994963 | + | 0.100246i | \(0.0319629\pi\) | |||||||
\(390\) | −0.476174 | + | 2.51115i | −0.0241120 | + | 0.127157i | ||||
\(391\) | 0.447694 | − | 7.68661i | 0.0226409 | − | 0.388729i | ||||
\(392\) | 9.08703 | + | 5.97663i | 0.458964 | + | 0.301866i | ||||
\(393\) | −23.7221 | + | 19.3907i | −1.19662 | + | 0.978129i | ||||
\(394\) | −14.6127 | + | 3.46328i | −0.736178 | + | 0.174477i | ||||
\(395\) | −8.47619 | + | 48.0709i | −0.426484 | + | 2.41871i | ||||
\(396\) | 7.17820 | − | 3.37664i | 0.360718 | − | 0.169682i | ||||
\(397\) | −5.20739 | − | 29.5326i | −0.261351 | − | 1.48220i | −0.779228 | − | 0.626741i | \(-0.784388\pi\) |
0.517876 | − | 0.855455i | \(-0.326723\pi\) | |||||||
\(398\) | 10.3030 | + | 23.8851i | 0.516445 | + | 1.19725i | ||||
\(399\) | −2.13161 | − | 2.94152i | −0.106714 | − | 0.147260i | ||||
\(400\) | 7.82858 | + | 26.1493i | 0.391429 | + | 1.30746i | ||||
\(401\) | −3.91254 | − | 5.25545i | −0.195383 | − | 0.262445i | 0.693625 | − | 0.720336i | \(-0.256012\pi\) |
−0.889008 | + | 0.457891i | \(0.848605\pi\) | |||||||
\(402\) | 0.0697287 | + | 1.53780i | 0.00347775 | + | 0.0766985i | ||||
\(403\) | 1.35207 | + | 0.679035i | 0.0673514 | + | 0.0338251i | ||||
\(404\) | −5.85891 | −0.291492 | ||||||||
\(405\) | 19.2403 | − | 29.6858i | 0.956060 | − | 1.47510i | ||||
\(406\) | −6.42647 | −0.318941 | ||||||||
\(407\) | −49.1895 | − | 24.7039i | −2.43823 | − | 1.22453i | ||||
\(408\) | −15.9527 | − | 8.27045i | −0.789777 | − | 0.409448i | ||||
\(409\) | 1.06650 | + | 1.43255i | 0.0527348 | + | 0.0708352i | 0.827708 | − | 0.561159i | \(-0.189644\pi\) |
−0.774973 | + | 0.631994i | \(0.782237\pi\) | |||||||
\(410\) | −1.96422 | − | 6.56096i | −0.0970061 | − | 0.324023i | ||||
\(411\) | −4.92413 | + | 11.0233i | −0.242890 | + | 0.543738i | ||||
\(412\) | 2.53726 | + | 5.88202i | 0.125002 | + | 0.289786i | ||||
\(413\) | −3.22579 | − | 18.2944i | −0.158731 | − | 0.900207i | ||||
\(414\) | 2.16044 | + | 7.95591i | 0.106180 | + | 0.391012i | ||||
\(415\) | −5.05329 | + | 28.6586i | −0.248056 | + | 1.40680i | ||||
\(416\) | 0.905398 | − | 0.214583i | 0.0443908 | − | 0.0105208i | ||||
\(417\) | 1.75754 | + | 10.7764i | 0.0860670 | + | 0.527724i | ||||
\(418\) | 5.51207 | + | 3.62534i | 0.269604 | + | 0.177321i | ||||
\(419\) | −1.20481 | + | 20.6857i | −0.0588587 | + | 1.01056i | 0.831564 | + | 0.555429i | \(0.187446\pi\) |
−0.890422 | + | 0.455135i | \(0.849591\pi\) | |||||||
\(420\) | −6.51603 | + | 2.27714i | −0.317950 | + | 0.111113i | ||||
\(421\) | −5.43755 | + | 18.1627i | −0.265010 | + | 0.885196i | 0.717113 | + | 0.696957i | \(0.245463\pi\) |
−0.982123 | + | 0.188239i | \(0.939722\pi\) | |||||||
\(422\) | −14.3686 | + | 5.22976i | −0.699454 | + | 0.254581i | ||||
\(423\) | 6.15499 | − | 10.0542i | 0.299266 | − | 0.488850i | ||||
\(424\) | −4.69024 | − | 1.70711i | −0.227778 | − | 0.0829045i | ||||
\(425\) | −21.0883 | + | 28.3265i | −1.02293 | + | 1.37404i | ||||
\(426\) | 1.00833 | − | 14.1694i | 0.0488539 | − | 0.686508i | ||||
\(427\) | −1.38367 | − | 0.327936i | −0.0669606 | − | 0.0158700i | ||||
\(428\) | 1.38648 | − | 3.21422i | 0.0670181 | − | 0.155365i | ||||
\(429\) | 2.55147 | − | 0.570142i | 0.123186 | − | 0.0275267i | ||||
\(430\) | −17.7215 | + | 11.6556i | −0.854607 | + | 0.562084i | ||||
\(431\) | −0.254281 | − | 0.440427i | −0.0122483 | − | 0.0212146i | 0.859836 | − | 0.510570i | \(-0.170566\pi\) |
−0.872085 | + | 0.489355i | \(0.837232\pi\) | |||||||
\(432\) | 13.4102 | + | 2.09473i | 0.645199 | + | 0.100783i | ||||
\(433\) | 10.9606 | − | 18.9844i | 0.526734 | − | 0.912330i | −0.472781 | − | 0.881180i | \(-0.656750\pi\) |
0.999515 | − | 0.0311498i | \(-0.00991689\pi\) | |||||||
\(434\) | −0.633818 | − | 10.8822i | −0.0304242 | − | 0.522364i | ||||
\(435\) | −11.8507 | + | 15.4980i | −0.568199 | + | 0.743071i | ||||
\(436\) | 1.86469 | − | 0.217951i | 0.0893025 | − | 0.0104380i | ||||
\(437\) | 1.76366 | − | 1.86937i | 0.0843672 | − | 0.0894240i | ||||
\(438\) | −2.28487 | − | 8.00545i | −0.109175 | − | 0.382515i | ||||
\(439\) | 33.4327 | + | 3.90773i | 1.59566 | + | 0.186506i | 0.866977 | − | 0.498348i | \(-0.166060\pi\) |
0.728680 | + | 0.684854i | \(0.240134\pi\) | |||||||
\(440\) | 44.8249 | − | 37.6125i | 2.13694 | − | 1.79311i | ||||
\(441\) | −3.95730 | − | 9.86447i | −0.188443 | − | 0.469737i | ||||
\(442\) | −0.971889 | − | 0.815511i | −0.0462280 | − | 0.0387899i | ||||
\(443\) | 8.41216 | + | 8.91636i | 0.399674 | + | 0.423629i | 0.895687 | − | 0.444686i | \(-0.146685\pi\) |
−0.496013 | + | 0.868315i | \(0.665203\pi\) | |||||||
\(444\) | 5.24043 | + | 9.35254i | 0.248700 | + | 0.443852i | ||||
\(445\) | −19.0950 | + | 9.58985i | −0.905188 | + | 0.454602i | ||||
\(446\) | 5.30802 | − | 2.66579i | 0.251342 | − | 0.126229i | ||||
\(447\) | 39.2751 | + | 0.505324i | 1.85765 | + | 0.0239010i | ||||
\(448\) | −11.2662 | − | 11.9415i | −0.532279 | − | 0.564183i | ||||
\(449\) | 19.3898 | + | 16.2699i | 0.915060 | + | 0.767826i | 0.973075 | − | 0.230490i | \(-0.0740328\pi\) |
−0.0580153 | + | 0.998316i | \(0.518477\pi\) | |||||||
\(450\) | 11.7727 | − | 35.9317i | 0.554972 | − | 1.69384i | ||||
\(451\) | −5.36645 | + | 4.50299i | −0.252696 | + | 0.212037i | ||||
\(452\) | 8.39630 | + | 0.981386i | 0.394929 | + | 0.0461605i | ||||
\(453\) | −17.4578 | + | 18.0336i | −0.820239 | + | 0.847294i | ||||
\(454\) | −5.31918 | + | 5.63800i | −0.249641 | + | 0.264604i | ||||
\(455\) | −2.25946 | + | 0.264094i | −0.105925 | + | 0.0123809i | ||||
\(456\) | −2.30457 | − | 5.53741i | −0.107921 | − | 0.259313i | ||||
\(457\) | 1.70347 | + | 29.2475i | 0.0796850 | + | 1.36814i | 0.766938 | + | 0.641721i | \(0.221779\pi\) |
−0.687253 | + | 0.726418i | \(0.741184\pi\) | |||||||
\(458\) | 17.9334 | − | 31.0616i | 0.837973 | − | 1.45141i | ||||
\(459\) | 8.18662 | + | 15.5348i | 0.382119 | + | 0.725103i | ||||
\(460\) | −2.44166 | − | 4.22908i | −0.113843 | − | 0.197182i | ||||
\(461\) | −10.7092 | + | 7.04356i | −0.498778 | + | 0.328051i | −0.773846 | − | 0.633373i | \(-0.781670\pi\) |
0.275069 | + | 0.961425i | \(0.411299\pi\) | |||||||
\(462\) | −12.7486 | − | 13.8658i | −0.593118 | − | 0.645097i | ||||
\(463\) | 4.08935 | − | 9.48017i | 0.190048 | − | 0.440581i | −0.796375 | − | 0.604803i | \(-0.793252\pi\) |
0.986423 | + | 0.164222i | \(0.0525112\pi\) | |||||||
\(464\) | −7.28363 | − | 1.72625i | −0.338134 | − | 0.0801393i | ||||
\(465\) | −27.4122 | − | 18.5389i | −1.27121 | − | 0.859719i | ||||
\(466\) | −15.6571 | + | 21.0312i | −0.725303 | + | 0.974251i | ||||
\(467\) | −6.54957 | − | 2.38385i | −0.303078 | − | 0.110311i | 0.186005 | − | 0.982549i | \(-0.440446\pi\) |
−0.489083 | + | 0.872238i | \(0.662668\pi\) | |||||||
\(468\) | −0.473841 | − | 0.186405i | −0.0219033 | − | 0.00861658i | ||||
\(469\) | −1.28748 | + | 0.468604i | −0.0594502 | + | 0.0216381i | ||||
\(470\) | 5.34287 | − | 17.8464i | 0.246448 | − | 0.823194i | ||||
\(471\) | 14.9269 | + | 12.8560i | 0.687794 | + | 0.592372i | ||||
\(472\) | 1.78339 | − | 30.6196i | 0.0820870 | − | 1.40938i | ||||
\(473\) | 18.1270 | + | 11.9223i | 0.833482 | + | 0.548190i | ||||
\(474\) | 24.2621 | + | 9.18588i | 1.11440 | + | 0.421921i | ||||
\(475\) | −11.4697 | + | 2.71836i | −0.526265 | + | 0.124727i | ||||
\(476\) | 0.594967 | − | 3.37422i | 0.0272702 | − | 0.154657i | ||||
\(477\) | 2.81107 | + | 3.98607i | 0.128710 | + | 0.182510i | ||||
\(478\) | −1.24578 | − | 7.06518i | −0.0569807 | − | 0.323154i | ||||
\(479\) | −13.2430 | − | 30.7006i | −0.605086 | − | 1.40275i | −0.895161 | − | 0.445743i | \(-0.852939\pi\) |
0.290075 | − | 0.957004i | \(-0.406320\pi\) | |||||||
\(480\) | −20.2426 | + | 2.10242i | −0.923946 | + | 0.0959617i | ||||
\(481\) | 1.01333 | + | 3.38477i | 0.0462041 | + | 0.154332i | ||||
\(482\) | 0.854249 | + | 1.14746i | 0.0389100 | + | 0.0522651i | ||||
\(483\) | −6.18174 | + | 3.95281i | −0.281279 | + | 0.179859i | ||||
\(484\) | −6.09863 | − | 3.06285i | −0.277211 | − | 0.139220i | ||||
\(485\) | −18.0999 | −0.821874 | ||||||||
\(486\) | −13.5961 | − | 12.9862i | −0.616731 | − | 0.589067i | ||||
\(487\) | −8.67546 | −0.393122 | −0.196561 | − | 0.980492i | \(-0.562977\pi\) | ||||
−0.196561 | + | 0.980492i | \(0.562977\pi\) | |||||||
\(488\) | −2.09811 | − | 1.05371i | −0.0949768 | − | 0.0476991i | ||||
\(489\) | 1.15224 | − | 0.736779i | 0.0521060 | − | 0.0333183i | ||||
\(490\) | −10.0299 | − | 13.4725i | −0.453105 | − | 0.608626i | ||||
\(491\) | −4.61063 | − | 15.4006i | −0.208075 | − | 0.695018i | −0.996775 | − | 0.0802410i | \(-0.974431\pi\) |
0.788701 | − | 0.614777i | \(-0.210754\pi\) | |||||||
\(492\) | 1.35710 | − | 0.140949i | 0.0611826 | − | 0.00635447i | ||||
\(493\) | −3.83575 | − | 8.89227i | −0.172754 | − | 0.400488i | ||||
\(494\) | −0.0735360 | − | 0.417043i | −0.00330854 | − | 0.0187637i | ||||
\(495\) | −56.9476 | + | 5.17500i | −2.55960 | + | 0.232599i | ||||
\(496\) | 2.20478 | − | 12.5040i | 0.0989977 | − | 0.561444i | ||||
\(497\) | 12.3023 | − | 2.91571i | 0.551836 | − | 0.130787i | ||||
\(498\) | 14.4645 | + | 5.47639i | 0.648168 | + | 0.245403i | ||||
\(499\) | −6.45428 | − | 4.24505i | −0.288933 | − | 0.190034i | 0.396765 | − | 0.917920i | \(-0.370133\pi\) |
−0.685698 | + | 0.727886i | \(0.740503\pi\) | |||||||
\(500\) | −0.679177 | + | 11.6610i | −0.0303737 | + | 0.521496i | ||||
\(501\) | −7.61804 | − | 6.56115i | −0.340349 | − | 0.293131i | ||||
\(502\) | 4.67298 | − | 15.6088i | 0.208565 | − | 0.696656i | ||||
\(503\) | 30.5447 | − | 11.1174i | 1.36192 | − | 0.495698i | 0.445272 | − | 0.895395i | \(-0.353107\pi\) |
0.916647 | + | 0.399697i | \(0.130885\pi\) | |||||||
\(504\) | 2.53868 | + | 16.9347i | 0.113082 | + | 0.754332i | ||||
\(505\) | 39.6864 | + | 14.4447i | 1.76602 | + | 0.642778i | ||||
\(506\) | 7.95766 | − | 10.6890i | 0.353761 | − | 0.475184i | ||||
\(507\) | 18.5126 | + | 12.5201i | 0.822176 | + | 0.556037i | ||||
\(508\) | 6.26616 | + | 1.48511i | 0.278016 | + | 0.0658909i | ||||
\(509\) | 0.494855 | − | 1.14720i | 0.0219340 | − | 0.0508488i | −0.906897 | − | 0.421352i | \(-0.861556\pi\) |
0.928831 | + | 0.370503i | \(0.120815\pi\) | |||||||
\(510\) | 18.7815 | + | 20.4275i | 0.831659 | + | 0.904543i | ||||
\(511\) | 6.19069 | − | 4.07168i | 0.273860 | − | 0.180121i | ||||
\(512\) | −11.9231 | − | 20.6514i | −0.526931 | − | 0.912671i | ||||
\(513\) | −1.23977 | + | 5.72863i | −0.0547371 | + | 0.252925i | ||||
\(514\) | −14.7623 | + | 25.5690i | −0.651136 | + | 1.12780i | ||||
\(515\) | −2.68492 | − | 46.0982i | −0.118312 | − | 2.03133i | ||||
\(516\) | −1.62364 | − | 3.90128i | −0.0714768 | − | 0.171744i | ||||
\(517\) | −18.9265 | + | 2.21219i | −0.832386 | + | 0.0972920i | ||||
\(518\) | 17.4686 | − | 18.5157i | 0.767528 | − | 0.813533i | ||||
\(519\) | 4.18934 | − | 4.32753i | 0.183892 | − | 0.189957i | ||||
\(520\) | −3.73056 | − | 0.436040i | −0.163596 | − | 0.0191216i | ||||
\(521\) | −17.9588 | + | 15.0692i | −0.786787 | + | 0.660193i | −0.944948 | − | 0.327220i | \(-0.893888\pi\) |
0.158161 | + | 0.987413i | \(0.449444\pi\) | |||||||
\(522\) | 6.91924 | + | 7.72271i | 0.302847 | + | 0.338014i | ||||
\(523\) | 26.2642 | + | 22.0383i | 1.14845 | + | 0.963666i | 0.999682 | − | 0.0252058i | \(-0.00802411\pi\) |
0.148770 | + | 0.988872i | \(0.452469\pi\) | |||||||
\(524\) | −6.61930 | − | 7.01605i | −0.289166 | − | 0.306498i | ||||
\(525\) | 33.6506 | + | 0.432957i | 1.46863 | + | 0.0188958i | ||||
\(526\) | 23.3789 | − | 11.7413i | 1.01937 | − | 0.511946i | ||||
\(527\) | 14.6794 | − | 7.37226i | 0.639443 | − | 0.321141i | ||||
\(528\) | −10.7244 | − | 19.1397i | −0.466720 | − | 0.832949i | ||||
\(529\) | 12.2212 | + | 12.9537i | 0.531357 | + | 0.563206i | ||||
\(530\) | 5.90458 | + | 4.95453i | 0.256479 | + | 0.215211i | ||||
\(531\) | −18.5113 | + | 23.5736i | −0.803321 | + | 1.02301i | ||||
\(532\) | 0.876079 | − | 0.735118i | 0.0379828 | − | 0.0318714i | ||||
\(533\) | 0.446624 | + | 0.0522028i | 0.0193454 | + | 0.00226115i | ||||
\(534\) | 3.11686 | + | 10.9205i | 0.134880 | + | 0.472575i | ||||
\(535\) | −17.3160 | + | 18.3538i | −0.748634 | + | 0.793506i | ||||
\(536\) | −2.24686 | + | 0.262620i | −0.0970495 | + | 0.0113435i | ||||
\(537\) | −8.22309 | + | 10.7539i | −0.354852 | + | 0.464064i | ||||
\(538\) | 0.402621 | + | 6.91273i | 0.0173582 | + | 0.298029i | ||||
\(539\) | −8.59021 | + | 14.8787i | −0.370007 | + | 0.640870i | ||||
\(540\) | 9.75211 | + | 5.37859i | 0.419664 | + | 0.231458i | ||||
\(541\) | 7.30619 | + | 12.6547i | 0.314118 | + | 0.544068i | 0.979250 | − | 0.202658i | \(-0.0649580\pi\) |
−0.665132 | + | 0.746726i | \(0.731625\pi\) | |||||||
\(542\) | −14.5914 | + | 9.59690i | −0.626754 | + | 0.412222i | ||||
\(543\) | 19.7677 | − | 4.41723i | 0.848315 | − | 0.189562i | ||||
\(544\) | 4.00127 | − | 9.27599i | 0.171553 | − | 0.397705i | ||||
\(545\) | −13.1681 | − | 3.12091i | −0.564061 | − | 0.133685i | ||||
\(546\) | −0.0858215 | + | 1.20599i | −0.00367282 | + | 0.0516115i | ||||
\(547\) | −9.06430 | + | 12.1755i | −0.387561 | + | 0.520585i | −0.952496 | − | 0.304550i | \(-0.901494\pi\) |
0.564935 | + | 0.825136i | \(0.308901\pi\) | |||||||
\(548\) | −3.57164 | − | 1.29997i | −0.152573 | − | 0.0555320i | ||||
\(549\) | 1.09569 | + | 2.01584i | 0.0467627 | + | 0.0860341i | ||||
\(550\) | −57.4331 | + | 20.9040i | −2.44896 | + | 0.891348i | ||||
\(551\) | 0.927083 | − | 3.09667i | 0.0394951 | − | 0.131923i | ||||
\(552\) | −11.4365 | + | 3.99669i | −0.486771 | + | 0.170111i | ||||
\(553\) | −1.34257 | + | 23.0510i | −0.0570918 | + | 0.980229i | ||||
\(554\) | 11.9436 | + | 7.85541i | 0.507434 | + | 0.333744i | ||||
\(555\) | −12.4391 | − | 76.2709i | −0.528009 | − | 3.23752i | ||||
\(556\) | −3.34481 | + | 0.792735i | −0.141852 | + | 0.0336195i | ||||
\(557\) | 2.44666 | − | 13.8757i | 0.103668 | − | 0.587931i | −0.888076 | − | 0.459697i | \(-0.847958\pi\) |
0.991744 | − | 0.128234i | \(-0.0409309\pi\) | |||||||
\(558\) | −12.3948 | + | 12.4783i | −0.524713 | + | 0.528249i | ||||
\(559\) | −0.241831 | − | 1.37149i | −0.0102284 | − | 0.0580079i | ||||
\(560\) | 7.56120 | + | 17.5288i | 0.319519 | + | 0.740728i | ||||
\(561\) | 11.5768 | − | 25.9162i | 0.488775 | − | 1.09418i | ||||
\(562\) | −5.25509 | − | 17.5532i | −0.221673 | − | 0.740438i | ||||
\(563\) | −21.3884 | − | 28.7296i | −0.901413 | − | 1.21081i | −0.976908 | − | 0.213661i | \(-0.931461\pi\) |
0.0754952 | − | 0.997146i | \(-0.475946\pi\) | |||||||
\(564\) | 3.29482 | + | 1.70815i | 0.138737 | + | 0.0719261i | ||||
\(565\) | −54.4542 | − | 27.3479i | −2.29091 | − | 1.15054i | ||||
\(566\) | −30.0885 | −1.26471 | ||||||||
\(567\) | 7.40961 | − | 15.0041i | 0.311175 | − | 0.630115i | ||||
\(568\) | 20.8748 | 0.875889 | ||||||||
\(569\) | 25.0852 | + | 12.5982i | 1.05162 | + | 0.528146i | 0.888698 | − | 0.458493i | \(-0.151610\pi\) |
0.162926 | + | 0.986638i | \(0.447907\pi\) | |||||||
\(570\) | 0.419552 | + | 9.25281i | 0.0175731 | + | 0.387558i | ||||
\(571\) | −27.9334 | − | 37.5211i | −1.16898 | − | 1.57021i | −0.748842 | − | 0.662749i | \(-0.769390\pi\) |
−0.420136 | − | 0.907461i | \(-0.638018\pi\) | |||||||
\(572\) | 0.236058 | + | 0.788487i | 0.00987007 | + | 0.0329683i | ||||
\(573\) | 14.7893 | + | 20.4084i | 0.617830 | + | 0.852573i | ||||
\(574\) | −1.28317 | − | 2.97472i | −0.0535585 | − | 0.124163i | ||||
\(575\) | 4.13438 | + | 23.4472i | 0.172415 | + | 0.977816i | ||||
\(576\) | −2.22005 | + | 26.3958i | −0.0925021 | + | 1.09982i | ||||
\(577\) | 3.26382 | − | 18.5100i | 0.135875 | − | 0.770583i | −0.838372 | − | 0.545098i | \(-0.816492\pi\) |
0.974247 | − | 0.225485i | \(-0.0723966\pi\) | |||||||
\(578\) | 6.54822 | − | 1.55196i | 0.272370 | − | 0.0645529i | ||||
\(579\) | 22.8214 | − | 18.6544i | 0.948425 | − | 0.775251i | ||||
\(580\) | −5.13160 | − | 3.37511i | −0.213078 | − | 0.140144i | ||||
\(581\) | −0.800406 | + | 13.7424i | −0.0332064 | + | 0.570132i | ||||
\(582\) | −1.79219 | + | 9.45132i | −0.0742888 | + | 0.391770i | ||||
\(583\) | 2.26123 | − | 7.55305i | 0.0936507 | − | 0.312815i | ||||
\(584\) | 11.4962 | − | 4.18426i | 0.475714 | − | 0.173146i | ||||
\(585\) | 2.75008 | + | 2.43086i | 0.113702 | + | 0.100504i | ||||
\(586\) | −9.71950 | − | 3.53761i | −0.401509 | − | 0.146137i | ||||
\(587\) | 0.583716 | − | 0.784066i | 0.0240925 | − | 0.0323619i | −0.789914 | − | 0.613218i | \(-0.789875\pi\) |
0.814006 | + | 0.580856i | \(0.197282\pi\) | |||||||
\(588\) | 3.00927 | − | 1.46314i | 0.124100 | − | 0.0603389i | ||||
\(589\) | 5.33517 | + | 1.26446i | 0.219832 | + | 0.0521011i | ||||
\(590\) | −18.7604 | + | 43.4916i | −0.772355 | + | 1.79052i | ||||
\(591\) | −6.45048 | + | 20.5787i | −0.265337 | + | 0.846496i | ||||
\(592\) | 24.7722 | − | 16.2929i | 1.01813 | − | 0.669636i | ||||
\(593\) | −19.3929 | − | 33.5896i | −0.796372 | − | 1.37936i | −0.921964 | − | 0.387276i | \(-0.873416\pi\) |
0.125592 | − | 0.992082i | \(-0.459917\pi\) | |||||||
\(594\) | −2.93650 | + | 30.2490i | −0.120486 | + | 1.24113i | ||||
\(595\) | −12.3490 | + | 21.3890i | −0.506258 | + | 0.876865i | ||||
\(596\) | 0.718999 | + | 12.3447i | 0.0294513 | + | 0.505660i | ||||
\(597\) | 37.0440 | + | 4.81369i | 1.51611 | + | 0.197011i | ||||
\(598\) | −0.849580 | + | 0.0993016i | −0.0347419 | + | 0.00406075i | ||||
\(599\) | −22.8341 | + | 24.2028i | −0.932978 | + | 0.988899i | −0.999961 | − | 0.00885515i | \(-0.997181\pi\) |
0.0669827 | + | 0.997754i | \(0.478663\pi\) | |||||||
\(600\) | 53.8973 | + | 13.5085i | 2.20035 | + | 0.551484i | ||||
\(601\) | 20.2207 | + | 2.36346i | 0.824820 | + | 0.0964076i | 0.518022 | − | 0.855367i | \(-0.326668\pi\) |
0.306797 | + | 0.951775i | \(0.400743\pi\) | |||||||
\(602\) | −7.68616 | + | 6.44945i | −0.313264 | + | 0.262860i | ||||
\(603\) | 1.94932 | + | 1.04263i | 0.0793824 | + | 0.0424592i | ||||
\(604\) | −6.05317 | − | 5.07922i | −0.246300 | − | 0.206670i | ||||
\(605\) | 33.7589 | + | 35.7824i | 1.37250 | + | 1.45476i | ||||
\(606\) | 11.4723 | − | 19.2930i | 0.466028 | − | 0.783723i | ||||
\(607\) | −1.41785 | + | 0.712069i | −0.0575486 | + | 0.0289020i | −0.477341 | − | 0.878718i | \(-0.658399\pi\) |
0.419792 | + | 0.907620i | \(0.362103\pi\) | |||||||
\(608\) | 3.01329 | − | 1.51333i | 0.122205 | − | 0.0613737i | ||||
\(609\) | −4.71683 | + | 7.93234i | −0.191136 | + | 0.321434i | ||||
\(610\) | 2.48812 | + | 2.63725i | 0.100741 | + | 0.106779i | ||||
\(611\) | 0.936970 | + | 0.786211i | 0.0379058 | + | 0.0318067i | ||||
\(612\) | −4.69540 | + | 2.91798i | −0.189800 | + | 0.117952i | ||||
\(613\) | −5.23563 | + | 4.39322i | −0.211465 | + | 0.177440i | −0.742368 | − | 0.669992i | \(-0.766297\pi\) |
0.530903 | + | 0.847433i | \(0.321853\pi\) | |||||||
\(614\) | −2.29547 | − | 0.268302i | −0.0926377 | − | 0.0108278i | ||||
\(615\) | −9.54002 | − | 2.39106i | −0.384691 | − | 0.0964169i | ||||
\(616\) | 18.9949 | − | 20.1334i | 0.765327 | − | 0.811199i | ||||
\(617\) | 0.404239 | − | 0.0472487i | 0.0162740 | − | 0.00190216i | −0.107952 | − | 0.994156i | \(-0.534429\pi\) |
0.124226 | + | 0.992254i | \(0.460355\pi\) | |||||||
\(618\) | −24.3372 | − | 3.16250i | −0.978986 | − | 0.127214i | ||||
\(619\) | −0.582923 | − | 10.0084i | −0.0234297 | − | 0.402272i | −0.989551 | − | 0.144183i | \(-0.953944\pi\) |
0.966121 | − | 0.258088i | \(-0.0830926\pi\) | |||||||
\(620\) | 5.20911 | − | 9.02245i | 0.209203 | − | 0.362350i | ||||
\(621\) | 11.4058 | + | 3.17272i | 0.457701 | + | 0.127317i | ||||
\(622\) | −9.19862 | − | 15.9325i | −0.368831 | − | 0.638834i | ||||
\(623\) | −8.44490 | + | 5.55430i | −0.338338 | + | 0.222528i | ||||
\(624\) | −0.421215 | + | 1.34379i | −0.0168621 | + | 0.0537945i | ||||
\(625\) | 12.6549 | − | 29.3373i | 0.506194 | − | 1.17349i | ||||
\(626\) | 36.0406 | + | 8.54179i | 1.44047 | + | 0.341398i | ||||
\(627\) | 8.52053 | − | 4.14277i | 0.340277 | − | 0.165446i | ||||
\(628\) | −3.70355 | + | 4.97473i | −0.147788 | + | 0.198513i | ||||
\(629\) | 36.0465 | + | 13.1199i | 1.43727 | + | 0.523123i | ||||
\(630\) | 5.26048 | − | 25.9156i | 0.209583 | − | 1.03250i | ||||
\(631\) | −14.7754 | + | 5.37779i | −0.588198 | + | 0.214086i | −0.618937 | − | 0.785441i | \(-0.712436\pi\) |
0.0307388 | + | 0.999527i | \(0.490214\pi\) | |||||||
\(632\) | −10.9340 | + | 36.5220i | −0.434930 | + | 1.45277i | ||||
\(633\) | −4.09094 | + | 21.5740i | −0.162600 | + | 0.857490i | ||||
\(634\) | −1.60963 | + | 27.6363i | −0.0639267 | + | 1.09758i | ||||
\(635\) | −38.7835 | − | 25.5083i | −1.53908 | − | 1.01227i | ||||
\(636\) | −1.18891 | + | 0.971828i | −0.0471435 | + | 0.0385355i | ||||
\(637\) | 1.07305 | − | 0.254319i | 0.0425160 | − | 0.0100765i | ||||
\(638\) | 2.91047 | − | 16.5061i | 0.115227 | − | 0.653483i | ||||
\(639\) | −16.7495 | − | 11.6445i | −0.662599 | − | 0.460649i | ||||
\(640\) | 3.18813 | + | 18.0808i | 0.126022 | + | 0.714706i | ||||
\(641\) | 3.18622 | + | 7.38649i | 0.125848 | + | 0.291749i | 0.969479 | − | 0.245175i | \(-0.0788455\pi\) |
−0.843631 | + | 0.536924i | \(0.819586\pi\) | |||||||
\(642\) | 7.86935 | + | 10.8593i | 0.310579 | + | 0.428582i | ||||
\(643\) | 2.73923 | + | 9.14968i | 0.108025 | + | 0.360828i | 0.994860 | − | 0.101257i | \(-0.0322865\pi\) |
−0.886835 | + | 0.462085i | \(0.847101\pi\) | |||||||
\(644\) | −1.37943 | − | 1.85290i | −0.0543572 | − | 0.0730144i | ||||
\(645\) | 1.37974 | + | 30.4289i | 0.0543273 | + | 1.19814i | ||||
\(646\) | −4.10863 | − | 2.06343i | −0.161652 | − | 0.0811846i | ||||
\(647\) | 36.6579 | 1.44117 | 0.720586 | − | 0.693365i | \(-0.243873\pi\) | ||||
0.720586 | + | 0.693365i | \(0.243873\pi\) | |||||||
\(648\) | 17.6172 | − | 21.2840i | 0.692067 | − | 0.836113i | ||||
\(649\) | 48.4492 | 1.90180 | ||||||||
\(650\) | 3.50583 | + | 1.76069i | 0.137510 | + | 0.0690601i | ||||
\(651\) | −13.8974 | − | 7.20489i | −0.544681 | − | 0.282382i | ||||
\(652\) | 0.257118 | + | 0.345369i | 0.0100695 | + | 0.0135257i | ||||
\(653\) | −5.54195 | − | 18.5114i | −0.216873 | − | 0.724407i | −0.995315 | − | 0.0966895i | \(-0.969175\pi\) |
0.778441 | − | 0.627717i | \(-0.216011\pi\) | |||||||
\(654\) | −2.93352 | + | 6.56705i | −0.114710 | + | 0.256792i | ||||
\(655\) | 27.5395 | + | 63.8438i | 1.07606 | + | 2.49458i | ||||
\(656\) | −0.655261 | − | 3.71617i | −0.0255836 | − | 0.145092i | ||||
\(657\) | −11.5583 | − | 3.05548i | −0.450933 | − | 0.119206i | ||||
\(658\) | 1.53023 | − | 8.67834i | 0.0596544 | − | 0.338317i | ||||
\(659\) | −30.0112 | + | 7.11279i | −1.16907 | + | 0.277075i | −0.768902 | − | 0.639367i | \(-0.779197\pi\) |
−0.400169 | + | 0.916441i | \(0.631049\pi\) | |||||||
\(660\) | −2.89770 | − | 17.7674i | −0.112793 | − | 0.691595i | ||||
\(661\) | −13.3404 | − | 8.77415i | −0.518883 | − | 0.341275i | 0.262902 | − | 0.964822i | \(-0.415320\pi\) |
−0.781785 | + | 0.623548i | \(0.785691\pi\) | |||||||
\(662\) | −0.0631919 | + | 1.08496i | −0.00245602 | + | 0.0421683i | ||||
\(663\) | −1.71994 | + | 0.601063i | −0.0667969 | + | 0.0233433i | ||||
\(664\) | −6.51855 | + | 21.7735i | −0.252969 | + | 0.844975i | ||||
\(665\) | −7.74664 | + | 2.81955i | −0.300402 | + | 0.109337i | ||||
\(666\) | −41.0584 | − | 1.05671i | −1.59098 | − | 0.0409467i | ||||
\(667\) | −6.13538 | − | 2.23310i | −0.237563 | − | 0.0864659i | ||||
\(668\) | 1.89013 | − | 2.53889i | 0.0731315 | − | 0.0982327i | ||||
\(669\) | 0.605483 | − | 8.50841i | 0.0234093 | − | 0.328954i | ||||
\(670\) | 3.39923 | + | 0.805633i | 0.131324 | + | 0.0311243i | ||||
\(671\) | 1.46894 | − | 3.40538i | 0.0567077 | − | 0.131463i | ||||
\(672\) | −9.39531 | + | 2.09945i | −0.362432 | + | 0.0809879i | ||||
\(673\) | 32.1238 | − | 21.1281i | 1.23828 | − | 0.814430i | 0.250174 | − | 0.968201i | \(-0.419512\pi\) |
0.988107 | + | 0.153771i | \(0.0491417\pi\) | |||||||
\(674\) | −21.2053 | − | 36.7287i | −0.816798 | − | 1.41474i | ||||
\(675\) | −35.7105 | − | 40.9041i | −1.37450 | − | 1.57440i | ||||
\(676\) | −3.51794 | + | 6.09325i | −0.135305 | + | 0.234356i | ||||
\(677\) | −0.758942 | − | 13.0305i | −0.0291685 | − | 0.500804i | −0.980979 | − | 0.194116i | \(-0.937816\pi\) |
0.951810 | − | 0.306688i | \(-0.0992208\pi\) | |||||||
\(678\) | −19.6723 | + | 25.7267i | −0.755510 | + | 0.988030i | ||||
\(679\) | −8.50403 | + | 0.993978i | −0.326355 | + | 0.0381454i | ||||
\(680\) | −27.9837 | + | 29.6610i | −1.07313 | + | 1.13745i | ||||
\(681\) | 3.05499 | + | 10.7037i | 0.117067 | + | 0.410166i | ||||
\(682\) | 28.2376 | + | 3.30050i | 1.08127 | + | 0.126383i | ||||
\(683\) | −6.97390 | + | 5.85180i | −0.266849 | + | 0.223913i | −0.766387 | − | 0.642379i | \(-0.777947\pi\) |
0.499538 | + | 0.866292i | \(0.333503\pi\) | |||||||
\(684\) | −1.82665 | − | 0.261302i | −0.0698436 | − | 0.00999115i | ||||
\(685\) | 20.9882 | + | 17.6112i | 0.801916 | + | 0.672888i | ||||
\(686\) | −16.2249 | − | 17.1974i | −0.619470 | − | 0.656600i | ||||
\(687\) | −25.1774 | − | 44.9338i | −0.960578 | − | 1.71433i | ||||
\(688\) | −10.4438 | + | 5.24505i | −0.398165 | + | 0.199966i | ||||
\(689\) | −0.452247 | + | 0.227127i | −0.0172292 | + | 0.00865285i | ||||
\(690\) | 18.7070 | + | 0.240690i | 0.712165 | + | 0.00916290i | ||||
\(691\) | −8.21347 | − | 8.70577i | −0.312455 | − | 0.331183i | 0.552046 | − | 0.833813i | \(-0.313847\pi\) |
−0.864501 | + | 0.502630i | \(0.832366\pi\) | |||||||
\(692\) | 1.45258 | + | 1.21886i | 0.0552187 | + | 0.0463340i | ||||
\(693\) | −26.4720 | + | 5.55876i | −1.00559 | + | 0.211160i | ||||
\(694\) | 14.0210 | − | 11.7650i | 0.532229 | − | 0.446594i | ||||
\(695\) | 24.6111 | + | 2.87662i | 0.933552 | + | 0.109117i | ||||
\(696\) | −10.5983 | + | 10.9479i | −0.401728 | + | 0.414979i | ||||
\(697\) | 3.35022 | − | 3.55103i | 0.126899 | − | 0.134505i | ||||
\(698\) | −33.9250 | + | 3.96526i | −1.28408 | + | 0.150087i | ||||
\(699\) | 14.4674 | + | 34.7622i | 0.547207 | + | 1.31483i | ||||
\(700\) | 0.616031 | + | 10.5769i | 0.0232838 | + | 0.399767i | ||||
\(701\) | 0.441721 | − | 0.765084i | 0.0166836 | − | 0.0288968i | −0.857563 | − | 0.514379i | \(-0.828023\pi\) |
0.874247 | + | 0.485482i | \(0.161356\pi\) | |||||||
\(702\) | 1.54164 | − | 1.19533i | 0.0581854 | − | 0.0451147i | ||||
\(703\) | 6.40198 | + | 11.0886i | 0.241455 | + | 0.418213i | ||||
\(704\) | 35.7735 | − | 23.5286i | 1.34827 | − | 0.886768i | ||||
\(705\) | −18.1067 | − | 19.6935i | −0.681939 | − | 0.741702i | ||||
\(706\) | 7.93698 | − | 18.4000i | 0.298712 | − | 0.692493i | ||||
\(707\) | 19.4394 | + | 4.60723i | 0.731094 | + | 0.173273i | ||||
\(708\) | −7.81640 | − | 5.28623i | −0.293758 | − | 0.198669i | ||||
\(709\) | 14.1307 | − | 18.9808i | 0.530689 | − | 0.712838i | −0.453242 | − | 0.891387i | \(-0.649733\pi\) |
0.983931 | + | 0.178549i | \(0.0571402\pi\) | |||||||
\(710\) | −30.2925 | − | 11.0256i | −1.13686 | − | 0.413782i | ||||
\(711\) | 29.1460 | − | 23.2051i | 1.09306 | − | 0.870261i | ||||
\(712\) | −15.6823 | + | 5.70787i | −0.587717 | + | 0.213912i | ||||
\(713\) | 3.17629 | − | 10.6096i | 0.118953 | − | 0.397331i | ||||
\(714\) | 9.94607 | + | 8.56620i | 0.372222 | + | 0.320582i | ||||
\(715\) | 0.344972 | − | 5.92293i | 0.0129012 | − | 0.221505i | ||||
\(716\) | −3.56076 | − | 2.34195i | −0.133072 | − | 0.0875228i | ||||
\(717\) | −9.63507 | − | 3.64793i | −0.359828 | − | 0.136234i | ||||
\(718\) | 16.4837 | − | 3.90670i | 0.615165 | − | 0.145797i | ||||
\(719\) | 4.25311 | − | 24.1206i | 0.158614 | − | 0.899547i | −0.796792 | − | 0.604253i | \(-0.793471\pi\) |
0.955407 | − | 0.295293i | \(-0.0954174\pi\) | |||||||
\(720\) | 12.9235 | − | 27.9592i | 0.481630 | − | 1.04198i | ||||
\(721\) | −3.79302 | − | 21.5113i | −0.141259 | − | 0.801122i | ||||
\(722\) | 8.46880 | + | 19.6329i | 0.315176 | + | 0.730661i | ||||
\(723\) | 2.04332 | − | 0.212221i | 0.0759919 | − | 0.00789258i | ||||
\(724\) | 1.82888 | + | 6.10888i | 0.0679698 | + | 0.227035i | ||||
\(725\) | 17.8824 | + | 24.0203i | 0.664137 | + | 0.892091i | ||||
\(726\) | 22.0274 | − | 14.0850i | 0.817513 | − | 0.522745i | ||||
\(727\) | −7.38654 | − | 3.70966i | −0.273952 | − | 0.137584i | 0.306520 | − | 0.951864i | \(-0.400835\pi\) |
−0.580471 | + | 0.814281i | \(0.697132\pi\) | |||||||
\(728\) | −1.77670 | −0.0658490 | ||||||||
\(729\) | −26.0083 | + | 7.25046i | −0.963270 | + | 0.268536i | ||||
\(730\) | −18.8926 | −0.699248 | ||||||||
\(731\) | −13.5117 | − | 6.78582i | −0.499748 | − | 0.250983i | ||||
\(732\) | −0.608543 | + | 0.389123i | −0.0224924 | + | 0.0143824i | ||||
\(733\) | −9.09837 | − | 12.2212i | −0.336056 | − | 0.451402i | 0.601687 | − | 0.798732i | \(-0.294496\pi\) |
−0.937743 | + | 0.347331i | \(0.887088\pi\) | |||||||
\(734\) | 1.89220 | + | 6.32039i | 0.0698424 | + | 0.233290i | ||||
\(735\) | −23.9911 | + | 2.49173i | −0.884924 | + | 0.0919089i | ||||
\(736\) | −2.69765 | − | 6.25386i | −0.0994368 | − | 0.230520i | ||||
\(737\) | −0.620504 | − | 3.51905i | −0.0228565 | − | 0.129626i | ||||
\(738\) | −2.19317 | + | 4.74481i | −0.0807318 | + | 0.174659i | ||||
\(739\) | 4.97375 | − | 28.2075i | 0.182962 | − | 1.03763i | −0.745583 | − | 0.666413i | \(-0.767829\pi\) |
0.928545 | − | 0.371219i | \(-0.121060\pi\) | |||||||
\(740\) | 23.6731 | − | 5.61063i | 0.870241 | − | 0.206251i | ||||
\(741\) | −0.568738 | − | 0.215330i | −0.0208931 | − | 0.00791034i | ||||
\(742\) | 3.04628 | + | 2.00357i | 0.111833 | + | 0.0735534i | ||||
\(743\) | −0.857991 | + | 14.7311i | −0.0314766 | + | 0.540433i | 0.945304 | + | 0.326191i | \(0.105765\pi\) |
−0.976781 | + | 0.214242i | \(0.931272\pi\) | |||||||
\(744\) | −19.5838 | − | 16.8668i | −0.717977 | − | 0.618368i | ||||
\(745\) | 25.5646 | − | 85.3918i | 0.936615 | − | 3.12851i | ||||
\(746\) | 32.0692 | − | 11.6723i | 1.17414 | − | 0.427352i | ||||
\(747\) | 17.3761 | − | 13.8343i | 0.635758 | − | 0.506171i | ||||
\(748\) | 8.39708 | + | 3.05629i | 0.307028 | + | 0.111749i | ||||
\(749\) | −7.12778 | + | 9.57426i | −0.260443 | + | 0.349836i | ||||
\(750\) | −37.0690 | − | 25.0697i | −1.35357 | − | 0.915417i | ||||
\(751\) | −7.24039 | − | 1.71600i | −0.264206 | − | 0.0626179i | 0.0963779 | − | 0.995345i | \(-0.469274\pi\) |
−0.360583 | + | 0.932727i | \(0.617422\pi\) | |||||||
\(752\) | 4.06547 | − | 9.42481i | 0.148252 | − | 0.343688i | ||||
\(753\) | −15.8365 | − | 17.2244i | −0.577114 | − | 0.627691i | ||||
\(754\) | −0.898852 | + | 0.591184i | −0.0327343 | + | 0.0215297i | ||||
\(755\) | 28.4798 | + | 49.3285i | 1.03649 | + | 1.79525i | ||||
\(756\) | 4.87728 | + | 1.99152i | 0.177385 | + | 0.0724308i | ||||
\(757\) | −5.40930 | + | 9.36918i | −0.196604 | + | 0.340529i | −0.947425 | − | 0.319977i | \(-0.896325\pi\) |
0.750821 | + | 0.660506i | \(0.229658\pi\) | |||||||
\(758\) | 1.13756 | + | 19.5311i | 0.0413180 | + | 0.709402i | ||||
\(759\) | −7.35298 | − | 17.6677i | −0.266896 | − | 0.641297i | ||||
\(760\) | −13.5191 | + | 1.58016i | −0.490391 | + | 0.0573185i | ||||
\(761\) | 3.90961 | − | 4.14394i | 0.141723 | − | 0.150218i | −0.652624 | − | 0.757682i | \(-0.726332\pi\) |
0.794347 | + | 0.607464i | \(0.207813\pi\) | |||||||
\(762\) | −17.1600 | + | 17.7260i | −0.621642 | + | 0.642146i | ||||
\(763\) | −6.35828 | − | 0.743177i | −0.230185 | − | 0.0269048i | ||||
\(764\) | −6.07829 | + | 5.10029i | −0.219905 | + | 0.184522i | ||||
\(765\) | 38.9991 | − | 8.18930i | 1.41002 | − | 0.296085i | ||||
\(766\) | 13.6848 | + | 11.4829i | 0.494453 | + | 0.414895i | ||||
\(767\) | −2.13412 | − | 2.26203i | −0.0770586 | − | 0.0816773i | ||||
\(768\) | −20.8273 | − | 0.267969i | −0.751541 | − | 0.00966951i | ||||
\(769\) | −14.7408 | + | 7.40311i | −0.531567 | + | 0.266963i | −0.694273 | − | 0.719712i | \(-0.744274\pi\) |
0.162706 | + | 0.986675i | \(0.447978\pi\) | |||||||
\(770\) | −38.1984 | + | 19.1839i | −1.37657 | + | 0.691341i | ||||
\(771\) | 20.7253 | + | 36.9883i | 0.746405 | + | 1.33210i | ||||
\(772\) | 6.36797 | + | 6.74966i | 0.229188 | + | 0.242925i | ||||
\(773\) | −1.26612 | − | 1.06240i | −0.0455393 | − | 0.0382121i | 0.619734 | − | 0.784812i | \(-0.287241\pi\) |
−0.665273 | + | 0.746600i | \(0.731685\pi\) | |||||||
\(774\) | 16.0258 | + | 2.29250i | 0.576037 | + | 0.0824023i | ||||
\(775\) | −38.9109 | + | 32.6502i | −1.39772 | + | 1.17283i | ||||
\(776\) | −14.0408 | − | 1.64114i | −0.504037 | − | 0.0589134i | ||||
\(777\) | −10.0329 | − | 35.1519i | −0.359927 | − | 1.26107i | ||||
\(778\) | −6.18126 | + | 6.55175i | −0.221609 | + | 0.234892i | ||||
\(779\) | 1.61852 | − | 0.189177i | 0.0579894 | − | 0.00677799i | ||||
\(780\) | −0.701899 | + | 0.917920i | −0.0251320 | + | 0.0328668i | ||||
\(781\) | 1.91728 | + | 32.9185i | 0.0686058 | + | 1.17792i | ||||
\(782\) | −4.64333 | + | 8.04248i | −0.166045 | + | 0.287598i | ||||
\(783\) | 14.6108 | − | 2.87233i | 0.522148 | − | 0.102649i | ||||
\(784\) | −4.62716 | − | 8.01448i | −0.165256 | − | 0.286232i | ||||
\(785\) | 37.3514 | − | 24.5664i | 1.33313 | − | 0.876812i | ||||
\(786\) | 36.0645 | − | 8.05885i | 1.28638 | − | 0.287450i | ||||
\(787\) | −16.5047 | + | 38.2623i | −0.588331 | + | 1.36390i | 0.320702 | + | 0.947180i | \(0.396081\pi\) |
−0.909033 | + | 0.416724i | \(0.863178\pi\) | |||||||
\(788\) | −6.60642 | − | 1.56575i | −0.235344 | − | 0.0557775i | ||||
\(789\) | 2.66682 | − | 37.4749i | 0.0949414 | − | 1.33414i | ||||
\(790\) | 35.1568 | − | 47.2238i | 1.25082 | − | 1.68015i | ||||
\(791\) | −27.0865 | − | 9.85869i | −0.963086 | − | 0.350535i | ||||
\(792\) | −44.6458 | − | 1.14904i | −1.58642 | − | 0.0408293i | ||||
\(793\) | −0.223698 | + | 0.0814193i | −0.00794374 | + | 0.00289128i | ||||
\(794\) | −10.3734 | + | 34.6497i | −0.368139 | + | 1.22967i | ||||
\(795\) | 10.4493 | − | 3.65168i | 0.370597 | − | 0.129512i | ||||
\(796\) | −0.683800 | + | 11.7404i | −0.0242366 | + | 0.416127i | ||||
\(797\) | 38.8546 | + | 25.5551i | 1.37630 | + | 0.905207i | 0.999775 | − | 0.0212000i | \(-0.00674869\pi\) |
0.376525 | + | 0.926407i | \(0.377119\pi\) | |||||||
\(798\) | 0.705251 | + | 4.32429i | 0.0249656 | + | 0.153078i | ||||
\(799\) | 12.9215 | − | 3.06245i | 0.457130 | − | 0.108342i | ||||
\(800\) | −5.42444 | + | 30.7635i | −0.191783 | + | 1.08765i | ||||
\(801\) | 15.7670 | + | 4.16808i | 0.557101 | + | 0.147272i | ||||
\(802\) | 1.37223 | + | 7.78232i | 0.0484553 | + | 0.274803i | ||||
\(803\) | 7.65423 | + | 17.7445i | 0.270112 | + | 0.626190i | ||||
\(804\) | −0.283852 | + | 0.635438i | −0.0100107 | + | 0.0224102i | ||||
\(805\) | 4.77565 | + | 15.9518i | 0.168320 | + | 0.562227i | ||||
\(806\) | −1.08973 | − | 1.46376i | −0.0383841 | − | 0.0515587i | ||||
\(807\) | 8.82805 | + | 4.57677i | 0.310762 | + | 0.161110i | ||||
\(808\) | 29.4766 | + | 14.8037i | 1.03698 | + | 0.520793i | ||||
\(809\) | −25.7135 | −0.904038 | −0.452019 | − | 0.892008i | \(-0.649296\pi\) | ||||
−0.452019 | + | 0.892008i | \(0.649296\pi\) | |||||||
\(810\) | −36.8067 | + | 21.5812i | −1.29326 | + | 0.758287i | ||||
\(811\) | −33.1951 | −1.16564 | −0.582818 | − | 0.812602i | \(-0.698050\pi\) | ||||
−0.582818 | + | 0.812602i | \(0.698050\pi\) | |||||||
\(812\) | −2.59637 | − | 1.30395i | −0.0911148 | − | 0.0457596i | ||||
\(813\) | 1.13604 | + | 25.0543i | 0.0398427 | + | 0.878692i | ||||
\(814\) | 39.6453 | + | 53.2529i | 1.38957 | + | 1.86651i | ||||
\(815\) | −0.890152 | − | 2.97332i | −0.0311807 | − | 0.104151i | ||||
\(816\) | 8.97166 | + | 12.3804i | 0.314071 | + | 0.433401i | ||||
\(817\) | −1.99894 | − | 4.63407i | −0.0699341 | − | 0.162125i | ||||
\(818\) | −0.374049 | − | 2.12134i | −0.0130783 | − | 0.0741708i | ||||
\(819\) | 1.42558 | + | 0.991088i | 0.0498140 | + | 0.0346314i | ||||
\(820\) | 0.537666 | − | 3.04925i | 0.0187761 | − | 0.106485i | ||||
\(821\) | 0.212213 | − | 0.0502955i | 0.00740630 | − | 0.00175532i | −0.226911 | − | 0.973915i | \(-0.572863\pi\) |
0.234317 | + | 0.972160i | \(0.424715\pi\) | |||||||
\(822\) | 11.2743 | − | 9.21570i | 0.393236 | − | 0.321434i | ||||
\(823\) | −12.9464 | − | 8.51501i | −0.451285 | − | 0.296815i | 0.303447 | − | 0.952848i | \(-0.401862\pi\) |
−0.754731 | + | 0.656034i | \(0.772233\pi\) | |||||||
\(824\) | 2.09698 | − | 36.0037i | 0.0730517 | − | 1.25425i | ||||
\(825\) | −16.3520 | + | 86.2338i | −0.569302 | + | 3.00228i | ||||
\(826\) | −6.42598 | + | 21.4643i | −0.223588 | + | 0.746837i | ||||
\(827\) | −43.9974 | + | 16.0138i | −1.52994 | + | 0.556853i | −0.963607 | − | 0.267323i | \(-0.913861\pi\) |
−0.566334 | + | 0.824176i | \(0.691639\pi\) | |||||||
\(828\) | −0.741431 | + | 3.65264i | −0.0257665 | + | 0.126938i | ||||
\(829\) | −12.5795 | − | 4.57858i | −0.436905 | − | 0.159021i | 0.114197 | − | 0.993458i | \(-0.463570\pi\) |
−0.551103 | + | 0.834438i | \(0.685793\pi\) | |||||||
\(830\) | 20.9596 | − | 28.1536i | 0.727518 | − | 0.977226i | ||||
\(831\) | 18.4623 | − | 8.97658i | 0.640451 | − | 0.311394i | ||||
\(832\) | −2.67430 | − | 0.633820i | −0.0927146 | − | 0.0219738i | ||||
\(833\) | 4.74220 | − | 10.9937i | 0.164308 | − | 0.380908i | ||||
\(834\) | 3.93901 | − | 12.5665i | 0.136397 | − | 0.435141i | ||||
\(835\) | −19.0626 | + | 12.5376i | −0.659687 | + | 0.433883i | ||||
\(836\) | 1.49135 | + | 2.58309i | 0.0515794 | + | 0.0893382i | ||||
\(837\) | 6.30485 | + | 24.4579i | 0.217928 | + | 0.845387i | ||||
\(838\) | 12.4958 | − | 21.6434i | 0.431661 | − | 0.747659i | ||||
\(839\) | 1.37589 | + | 23.6231i | 0.0475009 | + | 0.815559i | 0.934978 | + | 0.354706i | \(0.115419\pi\) |
−0.887477 | + | 0.460852i | \(0.847544\pi\) | |||||||
\(840\) | 38.5363 | + | 5.00759i | 1.32963 | + | 0.172778i | ||||
\(841\) | 20.6474 | − | 2.41333i | 0.711978 | − | 0.0832183i | ||||
\(842\) | 15.6923 | − | 16.6328i | 0.540791 | − | 0.573205i | ||||
\(843\) | −25.5234 | − | 6.39706i | −0.879073 | − | 0.220326i | ||||
\(844\) | −6.86623 | − | 0.802547i | −0.236345 | − | 0.0276248i | ||||
\(845\) | 38.8518 | − | 32.6005i | 1.33654 | − | 1.12149i | ||||
\(846\) | −12.0763 | + | 7.50490i | −0.415193 | + | 0.258024i | ||||
\(847\) | 17.8263 | + | 14.9580i | 0.612518 | + | 0.513964i | ||||
\(848\) | 2.91440 | + | 3.08909i | 0.100081 | + | 0.106080i | ||||
\(849\) | −22.0840 | + | 37.1389i | −0.757923 | + | 1.27460i | ||||
\(850\) | 38.0627 | − | 19.1158i | 1.30554 | − | 0.655666i | ||||
\(851\) | 23.1113 | − | 11.6069i | 0.792245 | − | 0.397881i | ||||
\(852\) | 3.28238 | − | 5.52000i | 0.112452 | − | 0.189112i | ||||
\(853\) | 20.6100 | + | 21.8453i | 0.705673 | + | 0.747970i | 0.976702 | − | 0.214601i | \(-0.0688452\pi\) |
−0.271029 | + | 0.962571i | \(0.587364\pi\) | |||||||
\(854\) | 1.31384 | + | 1.10244i | 0.0449587 | + | 0.0377249i | ||||
\(855\) | 11.7289 | + | 6.27342i | 0.401119 | + | 0.214546i | ||||
\(856\) | −15.0969 | + | 12.6678i | −0.516000 | + | 0.432975i | ||||
\(857\) | 12.3003 | + | 1.43770i | 0.420171 | + | 0.0491110i | 0.323552 | − | 0.946210i | \(-0.395123\pi\) |
0.0966193 | + | 0.995321i | \(0.469197\pi\) | |||||||
\(858\) | −3.05865 | − | 0.766605i | −0.104421 | − | 0.0261715i | ||||
\(859\) | 26.2139 | − | 27.7851i | 0.894408 | − | 0.948017i | −0.104510 | − | 0.994524i | \(-0.533328\pi\) |
0.998918 | + | 0.0465072i | \(0.0148090\pi\) | |||||||
\(860\) | −9.52465 | + | 1.11327i | −0.324788 | + | 0.0379623i | ||||
\(861\) | −4.61357 | − | 0.599510i | −0.157230 | − | 0.0204313i | ||||
\(862\) | 0.0356651 | + | 0.612346i | 0.00121476 | + | 0.0208566i | ||||
\(863\) | 1.57263 | − | 2.72387i | 0.0535329 | − | 0.0927217i | −0.838017 | − | 0.545644i | \(-0.816285\pi\) |
0.891550 | + | 0.452922i | \(0.149618\pi\) | |||||||
\(864\) | 12.6386 | + | 9.02995i | 0.429975 | + | 0.307205i | ||||
\(865\) | −6.83429 | − | 11.8373i | −0.232373 | − | 0.402482i | ||||
\(866\) | −22.0899 | + | 14.5288i | −0.750646 | + | 0.493708i | ||||
\(867\) | 2.89058 | − | 9.22170i | 0.0981691 | − | 0.313185i | ||||
\(868\) | 1.95196 | − | 4.52516i | 0.0662539 | − | 0.153594i | ||||
\(869\) | −58.5974 | − | 13.8878i | −1.98778 | − | 0.471113i | ||||
\(870\) | 21.1621 | − | 10.2892i | 0.717462 | − | 0.348838i | ||||
\(871\) | −0.136968 | + | 0.183980i | −0.00464098 | + | 0.00623392i | ||||
\(872\) | −9.93208 | − | 3.61498i | −0.336343 | − | 0.122419i | ||||
\(873\) | 10.3506 | + | 9.14912i | 0.350313 | + | 0.309651i | ||||
\(874\) | −2.91281 | + | 1.06018i | −0.0985272 | + | 0.0358610i | ||||
\(875\) | 11.4232 | − | 38.1562i | 0.386176 | − | 1.28992i | ||||
\(876\) | 0.701209 | − | 3.69790i | 0.0236917 | − | 0.124941i | ||||
\(877\) | 2.18119 | − | 37.4496i | 0.0736536 | − | 1.26458i | −0.735719 | − | 0.677287i | \(-0.763156\pi\) |
0.809372 | − | 0.587296i | \(-0.199807\pi\) | |||||||
\(878\) | −33.9193 | − | 22.3091i | −1.14472 | − | 0.752896i | ||||
\(879\) | −11.5004 | + | 9.40049i | −0.387898 | + | 0.317071i | ||||
\(880\) | −48.4464 | + | 11.4820i | −1.63313 | + | 0.387058i | ||||
\(881\) | −4.15332 | + | 23.5546i | −0.139929 | + | 0.793576i | 0.831371 | + | 0.555718i | \(0.187556\pi\) |
−0.971300 | + | 0.237858i | \(0.923555\pi\) | |||||||
\(882\) | −1.07439 | + | 12.7743i | −0.0361768 | + | 0.430132i | ||||
\(883\) | 2.98131 | + | 16.9078i | 0.100329 | + | 0.568994i | 0.992984 | + | 0.118253i | \(0.0377293\pi\) |
−0.892655 | + | 0.450742i | \(0.851160\pi\) | |||||||
\(884\) | −0.227185 | − | 0.526675i | −0.00764107 | − | 0.0177140i | ||||
\(885\) | 39.9130 | + | 55.0779i | 1.34166 | + | 1.85142i | ||||
\(886\) | −4.24036 | − | 14.1638i | −0.142458 | − | 0.475842i | ||||
\(887\) | 2.87407 | + | 3.86055i | 0.0965020 | + | 0.129625i | 0.847751 | − | 0.530394i | \(-0.177956\pi\) |
−0.751249 | + | 0.660018i | \(0.770548\pi\) | |||||||
\(888\) | −2.73393 | − | 60.2943i | −0.0917448 | − | 2.02334i | ||||
\(889\) | −19.6228 | − | 9.85493i | −0.658127 | − | 0.330524i | ||||
\(890\) | 25.7720 | 0.863880 | ||||||||
\(891\) | 35.1817 | + | 25.8264i | 1.17863 | + | 0.865218i | ||||
\(892\) | 2.68540 | 0.0899137 | ||||||||
\(893\) | 3.96101 | + | 1.98930i | 0.132550 | + | 0.0665693i | ||||
\(894\) | −42.0582 | − | 21.8044i | −1.40664 | − | 0.729249i | ||||
\(895\) | 18.3456 | + | 24.6424i | 0.613224 | + | 0.823703i | ||||
\(896\) | 2.49083 | + | 8.31996i | 0.0832129 | + | 0.277950i | ||||
\(897\) | −0.500995 | + | 1.12154i | −0.0167277 | + | 0.0374471i | ||||
\(898\) | −12.0918 | − | 28.0319i | −0.403508 | − | 0.935436i | ||||
\(899\) | −2.41882 | − | 13.7178i | −0.0806723 | − | 0.457515i | ||||
\(900\) | 12.0470 | − | 12.1281i | 0.401565 | − | 0.404271i | ||||
\(901\) | −0.954103 | + | 5.41099i | −0.0317858 | + | 0.180266i | ||||
\(902\) | 8.22157 | − | 1.94855i | 0.273748 | − | 0.0648796i | ||||
\(903\) | 2.31930 | + | 14.2209i | 0.0771813 | + | 0.473242i | ||||
\(904\) | −39.7627 | − | 26.1523i | −1.32249 | − | 0.869814i | ||||
\(905\) | 2.67270 | − | 45.8885i | 0.0888436 | − | 1.52539i | ||||
\(906\) | 28.5781 | − | 9.98712i | 0.949444 | − | 0.331800i | ||||
\(907\) | −6.02455 | + | 20.1234i | −0.200042 | + | 0.668187i | 0.797824 | + | 0.602890i | \(0.205984\pi\) |
−0.997866 | + | 0.0652962i | \(0.979201\pi\) | |||||||
\(908\) | −3.29297 | + | 1.19854i | −0.109281 | + | 0.0397751i | ||||
\(909\) | −15.3935 | − | 28.3209i | −0.510569 | − | 0.939345i | ||||
\(910\) | 2.57826 | + | 0.938410i | 0.0854685 | + | 0.0311080i | ||||
\(911\) | −15.1128 | + | 20.3001i | −0.500710 | + | 0.672571i | −0.978582 | − | 0.205859i | \(-0.934001\pi\) |
0.477871 | + | 0.878430i | \(0.341409\pi\) | |||||||
\(912\) | −0.362255 | + | 5.09050i | −0.0119955 | + | 0.168563i | ||||
\(913\) | −34.9343 | − | 8.27958i | −1.15616 | − | 0.274014i | ||||
\(914\) | 13.9957 | − | 32.4457i | 0.462937 | − | 1.07321i | ||||
\(915\) | 5.08142 | − | 1.13548i | 0.167987 | − | 0.0375377i | ||||
\(916\) | 13.5478 | − | 8.91052i | 0.447631 | − | 0.294412i | ||||
\(917\) | 16.4452 | + | 28.4839i | 0.543067 | + | 0.940620i | ||||
\(918\) | −0.414686 | − | 21.1753i | −0.0136867 | − | 0.698887i | ||||
\(919\) | −20.2378 | + | 35.0529i | −0.667583 | + | 1.15629i | 0.310995 | + | 0.950411i | \(0.399338\pi\) |
−0.978578 | + | 0.205876i | \(0.933996\pi\) | |||||||
\(920\) | 1.59856 | + | 27.4462i | 0.0527029 | + | 0.904873i | ||||
\(921\) | −2.01598 | + | 2.63642i | −0.0664287 | + | 0.0868731i | ||||
\(922\) | 15.3554 | − | 1.79478i | 0.505702 | − | 0.0591080i | ||||
\(923\) | 1.45247 | − | 1.53953i | 0.0478087 | − | 0.0506742i | ||||
\(924\) | −2.33717 | − | 8.18868i | −0.0768872 | − | 0.269388i | ||||
\(925\) | −117.815 | − | 13.7706i | −3.87373 | − | 0.452774i | ||||
\(926\) | −9.53925 | + | 8.00438i | −0.313479 | + | 0.263040i | ||||
\(927\) | −21.7663 | + | 27.7188i | −0.714899 | + | 0.910404i | ||||
\(928\) | −6.56228 | − | 5.50641i | −0.215417 | − | 0.180757i | ||||
\(929\) | −10.3432 | − | 10.9632i | −0.339351 | − | 0.359691i | 0.535114 | − | 0.844780i | \(-0.320269\pi\) |
−0.874465 | + | 0.485089i | \(0.838787\pi\) | |||||||
\(930\) | 19.5104 | + | 34.8199i | 0.639770 | + | 1.14179i | ||||
\(931\) | 3.57128 | − | 1.79356i | 0.117044 | − | 0.0587816i | ||||
\(932\) | −10.5930 | + | 5.31998i | −0.346984 | + | 0.174262i | ||||
\(933\) | −26.4173 | − | 0.339892i | −0.864864 | − | 0.0111276i | ||||
\(934\) | 5.76890 | + | 6.11468i | 0.188764 | + | 0.200078i | ||||
\(935\) | −49.3440 | − | 41.4046i | −1.61372 | − | 1.35407i | ||||
\(936\) | 1.91294 | + | 2.13507i | 0.0625263 | + | 0.0697870i | ||||
\(937\) | 10.3708 | − | 8.70215i | 0.338800 | − | 0.284287i | −0.457474 | − | 0.889223i | \(-0.651246\pi\) |
0.796274 | + | 0.604936i | \(0.206801\pi\) | |||||||
\(938\) | 1.64133 | + | 0.191844i | 0.0535914 | + | 0.00626393i | ||||
\(939\) | 36.9960 | − | 38.2163i | 1.20732 | − | 1.24714i | ||||
\(940\) | 5.77967 | − | 6.12609i | 0.188512 | − | 0.199811i | ||||
\(941\) | 30.6082 | − | 3.57758i | 0.997798 | − | 0.116626i | 0.398514 | − | 0.917162i | \(-0.369526\pi\) |
0.599284 | + | 0.800536i | \(0.295452\pi\) | |||||||
\(942\) | −9.12955 | − | 21.9365i | −0.297457 | − | 0.714728i | ||||
\(943\) | −0.191380 | − | 3.28586i | −0.00623218 | − | 0.107002i | ||||
\(944\) | −13.0487 | + | 22.6010i | −0.424699 | + | 0.735601i | ||||
\(945\) | −28.1272 | − | 25.5144i | −0.914978 | − | 0.829984i | ||||
\(946\) | −13.0842 | − | 22.6624i | −0.425403 | − | 0.736819i | ||||
\(947\) | −41.5068 | + | 27.2995i | −1.34879 | + | 0.887114i | −0.998768 | − | 0.0496273i | \(-0.984197\pi\) |
−0.350023 | + | 0.936741i | \(0.613826\pi\) | |||||||
\(948\) | 7.93836 | + | 8.63405i | 0.257826 | + | 0.280421i | ||||
\(949\) | 0.491311 | − | 1.13899i | 0.0159486 | − | 0.0369731i | ||||
\(950\) | 13.8338 | + | 3.27866i | 0.448826 | + | 0.106374i | ||||
\(951\) | 32.9307 | + | 22.2710i | 1.06785 | + | 0.722188i | ||||
\(952\) | −11.5190 | + | 15.4727i | −0.373332 | + | 0.501472i | ||||
\(953\) | 21.4128 | + | 7.79362i | 0.693629 | + | 0.252460i | 0.664688 | − | 0.747121i | \(-0.268564\pi\) |
0.0289406 | + | 0.999581i | \(0.490787\pi\) | |||||||
\(954\) | −0.872165 | − | 5.81793i | −0.0282374 | − | 0.188362i | ||||
\(955\) | 53.7466 | − | 19.5622i | 1.73920 | − | 0.633017i | ||||
\(956\) | 0.930231 | − | 3.10719i | 0.0300858 | − | 0.100494i | ||||
\(957\) | −18.2376 | − | 15.7074i | −0.589539 | − | 0.507749i | ||||
\(958\) | −2.34478 | + | 40.2583i | −0.0757564 | + | 1.30069i | ||||
\(959\) | 10.8282 | + | 7.12180i | 0.349660 | + | 0.229975i | ||||
\(960\) | 56.2184 | + | 21.2848i | 1.81444 | + | 0.686964i | ||||
\(961\) | −7.17393 | + | 1.70025i | −0.231417 | + | 0.0548469i | ||||
\(962\) | 0.739993 | − | 4.19671i | 0.0238583 | − | 0.135307i | ||||
\(963\) | 19.1797 | − | 1.74292i | 0.618058 | − | 0.0561649i | ||||
\(964\) | 0.112305 | + | 0.636915i | 0.00361711 | + | 0.0205136i | ||||
\(965\) | −26.4938 | − | 61.4196i | −0.852867 | − | 1.97717i | ||||
\(966\) | 8.80250 | − | 0.914235i | 0.283216 | − | 0.0294150i | ||||
\(967\) | −16.3536 | − | 54.6249i | −0.525897 | − | 1.75662i | −0.645462 | − | 0.763793i | \(-0.723335\pi\) |
0.119565 | − | 0.992826i | \(-0.461850\pi\) | |||||||
\(968\) | 22.9438 | + | 30.8188i | 0.737440 | + | 0.990554i | ||||
\(969\) | −5.56255 | + | 3.55688i | −0.178695 | + | 0.114263i | ||||
\(970\) | 19.5085 | + | 9.79754i | 0.626381 | + | 0.314580i | ||||
\(971\) | 38.8020 | 1.24521 | 0.622607 | − | 0.782535i | \(-0.286074\pi\) | ||||
0.622607 | + | 0.782535i | \(0.286074\pi\) | |||||||
\(972\) | −2.85805 | − | 8.00527i | −0.0916719 | − | 0.256769i | ||||
\(973\) | 11.7212 | 0.375765 | ||||||||
\(974\) | 9.35062 | + | 4.69606i | 0.299613 | + | 0.150471i | ||||
\(975\) | 4.74643 | − | 3.03503i | 0.152008 | − | 0.0971987i | ||||
\(976\) | 1.19295 | + | 1.60241i | 0.0381853 | + | 0.0512918i | ||||
\(977\) | 12.5244 | + | 41.8345i | 0.400692 | + | 1.33840i | 0.885847 | + | 0.463977i | \(0.153578\pi\) |
−0.485155 | + | 0.874428i | \(0.661237\pi\) | |||||||
\(978\) | −1.64073 | + | 0.170408i | −0.0524648 | + | 0.00544904i | ||||
\(979\) | −10.4414 | − | 24.2058i | −0.333708 | − | 0.773621i | ||||
\(980\) | −1.31860 | − | 7.47815i | −0.0421211 | − | 0.238881i | ||||
\(981\) | 5.95274 | + | 8.44093i | 0.190056 | + | 0.269498i | ||||
\(982\) | −3.36694 | + | 19.0949i | −0.107443 | + | 0.609342i | ||||
\(983\) | 34.1022 | − | 8.08236i | 1.08769 | − | 0.257787i | 0.352612 | − | 0.935770i | \(-0.385293\pi\) |
0.735078 | + | 0.677982i | \(0.237145\pi\) | |||||||
\(984\) | −7.18378 | − | 2.71985i | −0.229011 | − | 0.0867056i | ||||
\(985\) | 40.8895 | + | 26.8934i | 1.30285 | + | 0.856896i | ||||
\(986\) | −0.679153 | + | 11.6606i | −0.0216286 | + | 0.371349i | ||||
\(987\) | −9.58873 | − | 8.25843i | −0.305213 | − | 0.262869i | ||||
\(988\) | 0.0549097 | − | 0.183411i | 0.00174691 | − | 0.00583508i | ||||
\(989\) | −9.57909 | + | 3.48651i | −0.304597 | + | 0.110864i | ||||
\(990\) | 64.1807 | + | 25.2482i | 2.03980 | + | 0.802440i | ||||
\(991\) | −0.299988 | − | 0.109187i | −0.00952943 | − | 0.00346843i | 0.337251 | − | 0.941415i | \(-0.390503\pi\) |
−0.346780 | + | 0.937946i | \(0.612725\pi\) | |||||||
\(992\) | 8.67703 | − | 11.6553i | 0.275496 | − | 0.370055i | ||||
\(993\) | 1.29281 | + | 0.874328i | 0.0410261 | + | 0.0277460i | ||||
\(994\) | −14.8381 | − | 3.51668i | −0.470634 | − | 0.111542i | ||||
\(995\) | 33.5768 | − | 77.8397i | 1.06445 | − | 2.46768i | ||||
\(996\) | 4.73265 | + | 5.14740i | 0.149960 | + | 0.163102i | ||||
\(997\) | −8.98796 | + | 5.91148i | −0.284652 | + | 0.187218i | −0.683803 | − | 0.729667i | \(-0.739675\pi\) |
0.399151 | + | 0.916885i | \(0.369305\pi\) | |||||||
\(998\) | 4.65872 | + | 8.06914i | 0.147469 | + | 0.255424i | ||||
\(999\) | −31.4400 | + | 49.9037i | −0.994716 | + | 1.57888i |
(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.13.3 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.10.6 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.514.3 | 144 | |||
9.4 | even | 3 | 729.2.g.c.28.6 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.28.3 | 144 | |||
9.7 | even | 3 | 729.2.g.d.514.6 | 144 | |||
81.2 | odd | 54 | 729.2.g.b.703.3 | 144 | |||
81.5 | odd | 54 | 6561.2.a.d.1.49 | 72 | |||
81.25 | even | 27 | inner | 81.2.g.a.25.3 | yes | 144 | |
81.29 | odd | 54 | 729.2.g.a.217.3 | 144 | |||
81.52 | even | 27 | 729.2.g.d.217.6 | 144 | |||
81.56 | odd | 54 | 243.2.g.a.73.6 | 144 | |||
81.76 | even | 27 | 6561.2.a.c.1.24 | 72 | |||
81.79 | even | 27 | 729.2.g.c.703.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.3 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.25.3 | yes | 144 | 81.25 | even | 27 | inner | |
243.2.g.a.10.6 | 144 | 3.2 | odd | 2 | |||
243.2.g.a.73.6 | 144 | 81.56 | odd | 54 | |||
729.2.g.a.217.3 | 144 | 81.29 | odd | 54 | |||
729.2.g.a.514.3 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.28.3 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.703.3 | 144 | 81.2 | odd | 54 | |||
729.2.g.c.28.6 | 144 | 9.4 | even | 3 | |||
729.2.g.c.703.6 | 144 | 81.79 | even | 27 | |||
729.2.g.d.217.6 | 144 | 81.52 | even | 27 | |||
729.2.g.d.514.6 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.24 | 72 | 81.76 | even | 27 | |||
6561.2.a.d.1.49 | 72 | 81.5 | odd | 54 |