Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(4,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bn (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.8 | ||
Character | \(\chi\) | \(=\) | 429.4 |
Dual form | 429.2.bn.a.322.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.250968 | + | 0.563684i | 0.177461 | + | 0.398585i | 0.980273 | − | 0.197648i | \(-0.0633302\pi\) |
−0.802812 | + | 0.596233i | \(0.796664\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | 1.08351 | − | 1.20336i | 0.541753 | − | 0.601678i | ||||
\(5\) | −1.79971 | − | 2.47709i | −0.804855 | − | 1.10779i | −0.992097 | − | 0.125474i | \(-0.959955\pi\) |
0.187242 | − | 0.982314i | \(-0.440045\pi\) | |||||||
\(6\) | 0.250968 | − | 0.563684i | 0.102457 | − | 0.230123i | ||||
\(7\) | −2.23596 | − | 2.01327i | −0.845113 | − | 0.760944i | 0.127877 | − | 0.991790i | \(-0.459184\pi\) |
−0.972990 | + | 0.230847i | \(0.925850\pi\) | |||||||
\(8\) | 2.12390 | + | 0.690096i | 0.750911 | + | 0.243986i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.944626 | − | 1.63614i | 0.298717 | − | 0.517393i | ||||
\(11\) | −0.468330 | + | 3.28339i | −0.141207 | + | 0.989980i | ||||
\(12\) | −1.61927 | −0.467444 | ||||||||
\(13\) | −1.14466 | + | 3.41903i | −0.317471 | + | 0.948268i | ||||
\(14\) | 0.573692 | − | 1.76564i | 0.153326 | − | 0.471888i | ||||
\(15\) | −0.636594 | + | 2.99494i | −0.164368 | + | 0.773291i | ||||
\(16\) | −0.194486 | − | 1.85041i | −0.0486214 | − | 0.462602i | ||||
\(17\) | −6.64520 | − | 2.95863i | −1.61170 | − | 0.717574i | −0.614259 | − | 0.789104i | \(-0.710545\pi\) |
−0.997438 | + | 0.0715300i | \(0.977212\pi\) | |||||||
\(18\) | −0.586830 | + | 0.190673i | −0.138317 | + | 0.0449419i | ||||
\(19\) | −1.17514 | − | 5.52860i | −0.269596 | − | 1.26835i | −0.879510 | − | 0.475881i | \(-0.842129\pi\) |
0.609914 | − | 0.792468i | \(-0.291204\pi\) | |||||||
\(20\) | −4.93082 | − | 0.518250i | −1.10256 | − | 0.115884i | ||||
\(21\) | 3.00878i | 0.656570i | ||||||||
\(22\) | −1.96833 | + | 0.560038i | −0.419650 | + | 0.119400i | ||||
\(23\) | −2.48611 | + | 4.30606i | −0.518389 | + | 0.897876i | 0.481383 | + | 0.876511i | \(0.340135\pi\) |
−0.999772 | + | 0.0213657i | \(0.993199\pi\) | |||||||
\(24\) | −0.908324 | − | 2.04013i | −0.185411 | − | 0.416439i | ||||
\(25\) | −1.35193 | + | 4.16080i | −0.270385 | + | 0.832161i | ||||
\(26\) | −2.21453 | + | 0.212841i | −0.434304 | + | 0.0417416i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −4.84535 | + | 0.509267i | −0.915686 | + | 0.0962425i | ||||
\(29\) | 7.03971 | + | 1.49634i | 1.30724 | + | 0.277863i | 0.808299 | − | 0.588773i | \(-0.200389\pi\) |
0.498942 | + | 0.866635i | \(0.333722\pi\) | |||||||
\(30\) | −1.84797 | + | 0.392797i | −0.337391 | + | 0.0717147i | ||||
\(31\) | 4.27727 | − | 5.88716i | 0.768220 | − | 1.05736i | −0.228265 | − | 0.973599i | \(-0.573305\pi\) |
0.996485 | − | 0.0837655i | \(-0.0266947\pi\) | |||||||
\(32\) | 4.86225 | − | 2.80722i | 0.859532 | − | 0.496251i | ||||
\(33\) | 2.75341 | − | 1.84898i | 0.479307 | − | 0.321866i | ||||
\(34\) | − | 4.48832i | − | 0.769740i | ||||||
\(35\) | −0.962962 | + | 9.16197i | −0.162770 | + | 1.54866i | ||||
\(36\) | 1.08351 | + | 1.20336i | 0.180584 | + | 0.200559i | ||||
\(37\) | 2.19115 | − | 10.3085i | 0.360222 | − | 1.69471i | −0.308520 | − | 0.951218i | \(-0.599834\pi\) |
0.668742 | − | 0.743494i | \(-0.266833\pi\) | |||||||
\(38\) | 2.82146 | − | 2.04991i | 0.457702 | − | 0.332540i | ||||
\(39\) | 3.30676 | − | 1.43713i | 0.529505 | − | 0.230125i | ||||
\(40\) | −2.11297 | − | 6.50306i | −0.334090 | − | 1.02822i | ||||
\(41\) | 1.22814 | − | 1.10582i | 0.191804 | − | 0.172701i | −0.567634 | − | 0.823281i | \(-0.692141\pi\) |
0.759437 | + | 0.650580i | \(0.225474\pi\) | |||||||
\(42\) | −1.69600 | + | 0.755109i | −0.261699 | + | 0.116516i | ||||
\(43\) | 2.59745 | + | 4.49892i | 0.396108 | + | 0.686079i | 0.993242 | − | 0.116063i | \(-0.0370273\pi\) |
−0.597134 | + | 0.802141i | \(0.703694\pi\) | |||||||
\(44\) | 3.44365 | + | 4.12114i | 0.519150 | + | 0.621286i | ||||
\(45\) | 2.65164 | − | 1.53093i | 0.395283 | − | 0.228217i | ||||
\(46\) | −3.05119 | − | 0.320693i | −0.449874 | − | 0.0472837i | ||||
\(47\) | −1.12484 | − | 0.365482i | −0.164075 | − | 0.0533111i | 0.225828 | − | 0.974167i | \(-0.427491\pi\) |
−0.389902 | + | 0.920856i | \(0.627491\pi\) | |||||||
\(48\) | −1.24498 | + | 1.38270i | −0.179698 | + | 0.199575i | ||||
\(49\) | 0.214572 | + | 2.04152i | 0.0306532 | + | 0.291645i | ||||
\(50\) | −2.68467 | + | 0.282170i | −0.379670 | + | 0.0399049i | ||||
\(51\) | 2.24781 | + | 6.91806i | 0.314757 | + | 0.968722i | ||||
\(52\) | 2.87406 | + | 5.08197i | 0.398561 | + | 0.704743i | ||||
\(53\) | −7.01933 | − | 5.09984i | −0.964179 | − | 0.700517i | −0.0100615 | − | 0.999949i | \(-0.503203\pi\) |
−0.954118 | + | 0.299432i | \(0.903203\pi\) | |||||||
\(54\) | 0.534363 | + | 0.308515i | 0.0727176 | + | 0.0419835i | ||||
\(55\) | 8.97611 | − | 4.74906i | 1.21034 | − | 0.640363i | ||||
\(56\) | −3.35960 | − | 5.81900i | −0.448946 | − | 0.777597i | ||||
\(57\) | −3.32223 | + | 4.57266i | −0.440040 | + | 0.605663i | ||||
\(58\) | 0.923283 | + | 4.34371i | 0.121233 | + | 0.570356i | ||||
\(59\) | −4.39681 | − | 3.95890i | −0.572415 | − | 0.515405i | 0.331308 | − | 0.943523i | \(-0.392510\pi\) |
−0.903723 | + | 0.428118i | \(0.859177\pi\) | |||||||
\(60\) | 2.91423 | + | 4.01109i | 0.376225 | + | 0.517829i | ||||
\(61\) | 2.60275 | + | 1.15882i | 0.333248 | + | 0.148371i | 0.566538 | − | 0.824036i | \(-0.308283\pi\) |
−0.233290 | + | 0.972407i | \(0.574949\pi\) | |||||||
\(62\) | 4.39196 | + | 0.933539i | 0.557779 | + | 0.118560i | ||||
\(63\) | 2.23596 | − | 2.01327i | 0.281704 | − | 0.253648i | ||||
\(64\) | −0.207857 | − | 0.151017i | −0.0259822 | − | 0.0188772i | ||||
\(65\) | 10.5293 | − | 3.31784i | 1.30600 | − | 0.411527i | ||||
\(66\) | 1.73326 | + | 1.08802i | 0.213350 | + | 0.133926i | ||||
\(67\) | −8.69201 | − | 5.01834i | −1.06190 | − | 0.613087i | −0.135942 | − | 0.990717i | \(-0.543406\pi\) |
−0.925957 | + | 0.377630i | \(0.876739\pi\) | |||||||
\(68\) | −10.7604 | + | 4.79084i | −1.30489 | + | 0.580975i | ||||
\(69\) | 4.86356 | − | 1.03378i | 0.585504 | − | 0.124453i | ||||
\(70\) | −5.40613 | + | 1.75656i | −0.646156 | + | 0.209949i | ||||
\(71\) | −1.29020 | + | 2.89783i | −0.153118 | + | 0.343909i | −0.973775 | − | 0.227512i | \(-0.926941\pi\) |
0.820657 | + | 0.571421i | \(0.193608\pi\) | |||||||
\(72\) | −0.908324 | + | 2.04013i | −0.107047 | + | 0.240431i | ||||
\(73\) | 8.19724 | − | 2.66345i | 0.959415 | − | 0.311733i | 0.212879 | − | 0.977078i | \(-0.431716\pi\) |
0.746535 | + | 0.665346i | \(0.231716\pi\) | |||||||
\(74\) | 6.36067 | − | 1.35200i | 0.739412 | − | 0.157167i | ||||
\(75\) | 3.99670 | − | 1.77944i | 0.461499 | − | 0.205472i | ||||
\(76\) | −7.92615 | − | 4.57616i | −0.909192 | − | 0.524922i | ||||
\(77\) | 7.65751 | − | 6.39866i | 0.872655 | − | 0.729195i | ||||
\(78\) | 1.63998 | + | 1.50329i | 0.185691 | + | 0.170215i | ||||
\(79\) | 1.53088 | + | 1.11225i | 0.172238 | + | 0.125138i | 0.670564 | − | 0.741851i | \(-0.266052\pi\) |
−0.498327 | + | 0.866989i | \(0.666052\pi\) | |||||||
\(80\) | −4.23361 | + | 3.81196i | −0.473332 | + | 0.426190i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 0.931561 | + | 0.414758i | 0.102874 | + | 0.0458023i | ||||
\(83\) | −0.248804 | − | 0.342450i | −0.0273098 | − | 0.0375887i | 0.795144 | − | 0.606421i | \(-0.207395\pi\) |
−0.822454 | + | 0.568832i | \(0.807395\pi\) | |||||||
\(84\) | 3.62063 | + | 3.26003i | 0.395044 | + | 0.355699i | ||||
\(85\) | 4.63064 | + | 21.7854i | 0.502263 | + | 2.36296i | ||||
\(86\) | −1.88409 | + | 2.59323i | −0.203167 | + | 0.279635i | ||||
\(87\) | −3.59849 | − | 6.23277i | −0.385798 | − | 0.668223i | ||||
\(88\) | −3.26054 | + | 6.65040i | −0.347575 | + | 0.708935i | ||||
\(89\) | −2.56663 | − | 1.48184i | −0.272062 | − | 0.157075i | 0.357762 | − | 0.933813i | \(-0.383540\pi\) |
−0.629824 | + | 0.776738i | \(0.716873\pi\) | |||||||
\(90\) | 1.52844 | + | 1.11047i | 0.161111 | + | 0.117054i | ||||
\(91\) | 9.44283 | − | 5.34030i | 0.989878 | − | 0.559816i | ||||
\(92\) | 2.48801 | + | 7.65732i | 0.259393 | + | 0.798331i | ||||
\(93\) | −7.23706 | + | 0.760646i | −0.750448 | + | 0.0788753i | ||||
\(94\) | −0.0762824 | − | 0.725778i | −0.00786793 | − | 0.0748583i | ||||
\(95\) | −11.5799 | + | 12.8608i | −1.18808 | + | 1.31949i | ||||
\(96\) | −5.33965 | − | 1.73496i | −0.544976 | − | 0.177073i | ||||
\(97\) | 6.85858 | + | 0.720866i | 0.696384 | + | 0.0731929i | 0.446105 | − | 0.894981i | \(-0.352811\pi\) |
0.250279 | + | 0.968174i | \(0.419478\pi\) | |||||||
\(98\) | −1.09692 | + | 0.633307i | −0.110806 | + | 0.0639737i | ||||
\(99\) | −3.21645 | − | 0.808972i | −0.323266 | − | 0.0813048i | ||||
\(100\) | 3.54211 | + | 6.13511i | 0.354211 | + | 0.613511i | ||||
\(101\) | 10.5082 | − | 4.67854i | 1.04560 | − | 0.465533i | 0.189253 | − | 0.981928i | \(-0.439393\pi\) |
0.856350 | + | 0.516396i | \(0.172727\pi\) | |||||||
\(102\) | −3.33547 | + | 3.00327i | −0.330261 | + | 0.297368i | ||||
\(103\) | −1.45402 | − | 4.47501i | −0.143269 | − | 0.440936i | 0.853516 | − | 0.521067i | \(-0.174466\pi\) |
−0.996784 | + | 0.0801316i | \(0.974466\pi\) | |||||||
\(104\) | −4.79060 | + | 6.47174i | −0.469757 | + | 0.634607i | ||||
\(105\) | 7.45302 | − | 5.41493i | 0.727340 | − | 0.528444i | ||||
\(106\) | 1.11307 | − | 5.23659i | 0.108111 | − | 0.508622i | ||||
\(107\) | 8.41453 | + | 9.34528i | 0.813463 | + | 0.903443i | 0.996827 | − | 0.0796026i | \(-0.0253651\pi\) |
−0.183363 | + | 0.983045i | \(0.558698\pi\) | |||||||
\(108\) | 0.169260 | − | 1.61040i | 0.0162871 | − | 0.154961i | ||||
\(109\) | − | 4.42505i | − | 0.423843i | −0.977287 | − | 0.211921i | \(-0.932028\pi\) | ||
0.977287 | − | 0.211921i | \(-0.0679721\pi\) | |||||||
\(110\) | 4.92969 | + | 3.86783i | 0.470028 | + | 0.368783i | ||||
\(111\) | −9.12689 | + | 5.26942i | −0.866286 | + | 0.500151i | ||||
\(112\) | −3.29050 | + | 4.52899i | −0.310923 | + | 0.427949i | ||||
\(113\) | 11.5841 | − | 2.46228i | 1.08974 | − | 0.231632i | 0.372205 | − | 0.928151i | \(-0.378602\pi\) |
0.717539 | + | 0.696519i | \(0.245269\pi\) | |||||||
\(114\) | −3.41131 | − | 0.725096i | −0.319498 | − | 0.0679115i | ||||
\(115\) | 15.1408 | − | 1.59136i | 1.41188 | − | 0.148395i | ||||
\(116\) | 9.42819 | − | 6.84998i | 0.875386 | − | 0.636005i | ||||
\(117\) | −3.28065 | − | 1.49577i | −0.303296 | − | 0.138284i | ||||
\(118\) | 1.12811 | − | 3.47197i | 0.103851 | − | 0.319621i | ||||
\(119\) | 8.90188 | + | 19.9940i | 0.816034 | + | 1.83284i | ||||
\(120\) | −3.41886 | + | 5.92164i | −0.312098 | + | 0.540569i | ||||
\(121\) | −10.5613 | − | 3.07542i | −0.960121 | − | 0.279584i | ||||
\(122\) | 1.75795i | 0.159158i | ||||||||
\(123\) | −1.64358 | − | 0.172747i | −0.148196 | − | 0.0155760i | ||||
\(124\) | −2.44989 | − | 11.5258i | −0.220007 | − | 1.03505i | ||||
\(125\) | −1.82021 | + | 0.591421i | −0.162804 | + | 0.0528983i | ||||
\(126\) | 1.69600 | + | 0.755109i | 0.151092 | + | 0.0672705i | ||||
\(127\) | 0.910056 | + | 8.65861i | 0.0807544 | + | 0.768327i | 0.957706 | + | 0.287748i | \(0.0929067\pi\) |
−0.876952 | + | 0.480579i | \(0.840427\pi\) | |||||||
\(128\) | 2.36758 | − | 11.1386i | 0.209266 | − | 0.984520i | ||||
\(129\) | 1.60531 | − | 4.94065i | 0.141340 | − | 0.435000i | ||||
\(130\) | 4.51273 | + | 5.10253i | 0.395793 | + | 0.447521i | ||||
\(131\) | 0.279147 | 0.0243892 | 0.0121946 | − | 0.999926i | \(-0.496118\pi\) | ||||
0.0121946 | + | 0.999926i | \(0.496118\pi\) | |||||||
\(132\) | 0.758355 | − | 5.31672i | 0.0660063 | − | 0.462761i | ||||
\(133\) | −8.50299 | + | 14.7276i | −0.737303 | + | 1.27705i | ||||
\(134\) | 0.647336 | − | 6.15899i | 0.0559214 | − | 0.532056i | ||||
\(135\) | −2.91199 | − | 0.946164i | −0.250624 | − | 0.0814328i | ||||
\(136\) | −12.0720 | − | 10.8697i | −1.03516 | − | 0.932066i | ||||
\(137\) | 1.68741 | − | 3.78999i | 0.144165 | − | 0.323800i | −0.827002 | − | 0.562199i | \(-0.809956\pi\) |
0.971167 | + | 0.238398i | \(0.0766223\pi\) | |||||||
\(138\) | 1.80333 | + | 2.48207i | 0.153509 | + | 0.211287i | ||||
\(139\) | −11.7388 | + | 13.0373i | −0.995672 | + | 1.10581i | −0.00128548 | + | 0.999999i | \(0.500409\pi\) |
−0.994387 | + | 0.105807i | \(0.966257\pi\) | |||||||
\(140\) | 9.98173 | + | 11.0858i | 0.843611 | + | 0.936924i | ||||
\(141\) | 0.481058 | + | 1.08047i | 0.0405124 | + | 0.0909923i | ||||
\(142\) | −1.95726 | −0.164249 | ||||||||
\(143\) | −10.6899 | − | 5.35960i | −0.893937 | − | 0.448192i | ||||
\(144\) | 1.86060 | 0.155050 | ||||||||
\(145\) | −8.96288 | − | 20.1310i | −0.744326 | − | 1.67178i | ||||
\(146\) | 3.55859 | + | 3.95222i | 0.294511 | + | 0.327088i | ||||
\(147\) | 1.37357 | − | 1.52550i | 0.113290 | − | 0.125821i | ||||
\(148\) | −10.0307 | − | 13.8061i | −0.824519 | − | 1.13485i | ||||
\(149\) | 0.968224 | − | 2.17467i | 0.0793200 | − | 0.178156i | −0.869532 | − | 0.493876i | \(-0.835580\pi\) |
0.948852 | + | 0.315721i | \(0.102246\pi\) | |||||||
\(150\) | 2.00609 | + | 1.80629i | 0.163796 | + | 0.147483i | ||||
\(151\) | 3.12531 | + | 1.01547i | 0.254334 | + | 0.0826381i | 0.433409 | − | 0.901197i | \(-0.357311\pi\) |
−0.179075 | + | 0.983835i | \(0.557311\pi\) | |||||||
\(152\) | 1.31939 | − | 12.5531i | 0.107017 | − | 1.01819i | ||||
\(153\) | 3.63704 | − | 6.29954i | 0.294037 | − | 0.509287i | ||||
\(154\) | 5.52862 | + | 2.71056i | 0.445509 | + | 0.218423i | ||||
\(155\) | −22.2809 | −1.78964 | ||||||||
\(156\) | 1.85352 | − | 5.53635i | 0.148400 | − | 0.443262i | ||||
\(157\) | −4.19995 | + | 12.9261i | −0.335193 | + | 1.03162i | 0.631434 | + | 0.775429i | \(0.282466\pi\) |
−0.966627 | + | 0.256188i | \(0.917534\pi\) | |||||||
\(158\) | −0.242755 | + | 1.14207i | −0.0193126 | + | 0.0908586i | ||||
\(159\) | 0.906927 | + | 8.62884i | 0.0719240 | + | 0.684311i | ||||
\(160\) | −15.7044 | − | 6.99204i | −1.24154 | − | 0.552769i | ||||
\(161\) | 14.2281 | − | 4.62299i | 1.12133 | − | 0.364342i | ||||
\(162\) | −0.128288 | − | 0.603546i | −0.0100792 | − | 0.0474190i | ||||
\(163\) | 10.5709 | + | 1.11104i | 0.827974 | + | 0.0870236i | 0.509029 | − | 0.860750i | \(-0.330005\pi\) |
0.318945 | + | 0.947773i | \(0.396671\pi\) | |||||||
\(164\) | − | 2.67606i | − | 0.208965i | ||||||
\(165\) | −9.53543 | − | 3.49281i | −0.742332 | − | 0.271915i | ||||
\(166\) | 0.130592 | − | 0.226191i | 0.0101359 | − | 0.0175558i | ||||
\(167\) | 7.29868 | + | 16.3931i | 0.564789 | + | 1.26854i | 0.939866 | + | 0.341543i | \(0.110950\pi\) |
−0.375077 | + | 0.926994i | \(0.622384\pi\) | |||||||
\(168\) | −2.07635 | + | 6.39034i | −0.160194 | + | 0.493026i | ||||
\(169\) | −10.3795 | − | 7.82725i | −0.798424 | − | 0.602096i | ||||
\(170\) | −11.1180 | + | 8.07767i | −0.852709 | + | 0.619529i | ||||
\(171\) | 5.62115 | − | 0.590807i | 0.429860 | − | 0.0451801i | ||||
\(172\) | 8.22816 | + | 1.74895i | 0.627391 | + | 0.133356i | ||||
\(173\) | −0.491961 | + | 0.104570i | −0.0374031 | + | 0.00795027i | −0.226575 | − | 0.973994i | \(-0.572753\pi\) |
0.189172 | + | 0.981944i | \(0.439420\pi\) | |||||||
\(174\) | 2.61021 | − | 3.59264i | 0.197879 | − | 0.272357i | ||||
\(175\) | 11.3997 | − | 6.58160i | 0.861734 | − | 0.497522i | ||||
\(176\) | 6.16670 | + | 0.228028i | 0.464832 | + | 0.0171883i | ||||
\(177\) | 5.91649i | 0.444710i | ||||||||
\(178\) | 0.191149 | − | 1.81866i | 0.0143272 | − | 0.136315i | ||||
\(179\) | −5.84361 | − | 6.48999i | −0.436772 | − | 0.485084i | 0.484065 | − | 0.875032i | \(-0.339160\pi\) |
−0.920837 | + | 0.389948i | \(0.872493\pi\) | |||||||
\(180\) | 1.03082 | − | 4.84963i | 0.0768329 | − | 0.361470i | ||||
\(181\) | 14.4930 | − | 10.5297i | 1.07725 | − | 0.782670i | 0.100051 | − | 0.994982i | \(-0.468099\pi\) |
0.977202 | + | 0.212312i | \(0.0680994\pi\) | |||||||
\(182\) | 5.38010 | + | 3.98253i | 0.398799 | + | 0.295205i | ||||
\(183\) | −0.880408 | − | 2.70962i | −0.0650816 | − | 0.200301i | ||||
\(184\) | −8.25184 | + | 7.42999i | −0.608333 | + | 0.547746i | ||||
\(185\) | −29.4786 | + | 13.1247i | −2.16731 | + | 0.964948i | ||||
\(186\) | −2.24504 | − | 3.88852i | −0.164614 | − | 0.285120i | ||||
\(187\) | 12.8265 | − | 20.4332i | 0.937967 | − | 1.49422i | ||||
\(188\) | −1.65857 | + | 0.957579i | −0.120964 | + | 0.0698386i | ||||
\(189\) | −2.99230 | − | 0.314503i | −0.217658 | − | 0.0228767i | ||||
\(190\) | −10.1556 | − | 3.29977i | −0.736767 | − | 0.239390i | ||||
\(191\) | 11.4174 | − | 12.6804i | 0.826138 | − | 0.917519i | −0.171571 | − | 0.985172i | \(-0.554884\pi\) |
0.997709 | + | 0.0676529i | \(0.0215510\pi\) | |||||||
\(192\) | 0.0268561 | + | 0.255519i | 0.00193817 | + | 0.0184405i | ||||
\(193\) | 17.4979 | − | 1.83911i | 1.25953 | − | 0.132382i | 0.548864 | − | 0.835912i | \(-0.315060\pi\) |
0.710666 | + | 0.703530i | \(0.248394\pi\) | |||||||
\(194\) | 1.31495 | + | 4.04699i | 0.0944077 | + | 0.290557i | ||||
\(195\) | −9.51111 | − | 5.60472i | −0.681104 | − | 0.401363i | ||||
\(196\) | 2.68916 | + | 1.95379i | 0.192083 | + | 0.139556i | ||||
\(197\) | −17.9121 | − | 10.3416i | −1.27618 | − | 0.736806i | −0.300040 | − | 0.953927i | \(-0.597000\pi\) |
−0.976145 | + | 0.217121i | \(0.930333\pi\) | |||||||
\(198\) | −0.351223 | − | 2.01609i | −0.0249603 | − | 0.143277i | ||||
\(199\) | 10.8646 | + | 18.8180i | 0.770169 | + | 1.33397i | 0.937470 | + | 0.348066i | \(0.113161\pi\) |
−0.167301 | + | 0.985906i | \(0.553505\pi\) | |||||||
\(200\) | −5.74271 | + | 7.90416i | −0.406071 | + | 0.558909i | ||||
\(201\) | 2.08674 | + | 9.81735i | 0.147187 | + | 0.692462i | ||||
\(202\) | 5.27444 | + | 4.74913i | 0.371109 | + | 0.334148i | ||||
\(203\) | −12.7280 | − | 17.5186i | −0.893329 | − | 1.22956i | ||||
\(204\) | 10.7604 | + | 4.79084i | 0.753379 | + | 0.335426i | ||||
\(205\) | −4.94953 | − | 1.05205i | −0.345690 | − | 0.0734786i | ||||
\(206\) | 2.15758 | − | 1.94269i | 0.150326 | − | 0.135354i | ||||
\(207\) | −4.02261 | − | 2.92259i | −0.279590 | − | 0.203134i | ||||
\(208\) | 6.54922 | + | 1.45314i | 0.454107 | + | 0.100757i | ||||
\(209\) | 18.7029 | − | 1.26924i | 1.29371 | − | 0.0877951i | ||||
\(210\) | 4.92279 | + | 2.84217i | 0.339705 | + | 0.196128i | ||||
\(211\) | −6.85415 | + | 3.05166i | −0.471859 | + | 0.210085i | −0.628868 | − | 0.777512i | \(-0.716481\pi\) |
0.157009 | + | 0.987597i | \(0.449815\pi\) | |||||||
\(212\) | −13.7424 | + | 2.92104i | −0.943833 | + | 0.200618i | ||||
\(213\) | 3.01682 | − | 0.980223i | 0.206709 | − | 0.0671638i | ||||
\(214\) | −3.15601 | + | 7.08851i | −0.215740 | + | 0.484561i | ||||
\(215\) | 6.46956 | − | 14.5309i | 0.441220 | − | 0.990997i | ||||
\(216\) | 2.12390 | − | 0.690096i | 0.144513 | − | 0.0469551i | ||||
\(217\) | −21.4162 | + | 4.55216i | −1.45383 | + | 0.309021i | ||||
\(218\) | 2.49433 | − | 1.11055i | 0.168937 | − | 0.0752158i | ||||
\(219\) | −7.46435 | − | 4.30955i | −0.504394 | − | 0.291212i | ||||
\(220\) | 4.01087 | − | 15.9471i | 0.270413 | − | 1.07515i | ||||
\(221\) | 17.7221 | − | 19.3335i | 1.19212 | − | 1.30051i | ||||
\(222\) | −5.26085 | − | 3.82223i | −0.353085 | − | 0.256531i | ||||
\(223\) | −15.7185 | + | 14.1530i | −1.05259 | + | 0.947757i | −0.998709 | − | 0.0507899i | \(-0.983826\pi\) |
−0.0538819 | + | 0.998547i | \(0.517159\pi\) | |||||||
\(224\) | −16.5235 | − | 3.51217i | −1.10402 | − | 0.234667i | ||||
\(225\) | −3.99670 | − | 1.77944i | −0.266446 | − | 0.118630i | ||||
\(226\) | 4.29520 | + | 5.91184i | 0.285713 | + | 0.393250i | ||||
\(227\) | −7.75800 | − | 6.98533i | −0.514916 | − | 0.463633i | 0.370234 | − | 0.928939i | \(-0.379278\pi\) |
−0.885150 | + | 0.465306i | \(0.845944\pi\) | |||||||
\(228\) | 1.90288 | + | 8.95233i | 0.126021 | + | 0.592882i | ||||
\(229\) | 3.83123 | − | 5.27323i | 0.253175 | − | 0.348465i | −0.663445 | − | 0.748225i | \(-0.730906\pi\) |
0.916620 | + | 0.399760i | \(0.130906\pi\) | |||||||
\(230\) | 4.69688 | + | 8.13524i | 0.309703 | + | 0.536422i | ||||
\(231\) | −9.87901 | − | 1.40910i | −0.649991 | − | 0.0927121i | ||||
\(232\) | 13.9190 | + | 8.03614i | 0.913827 | + | 0.527598i | ||||
\(233\) | 3.40582 | + | 2.47447i | 0.223123 | + | 0.162108i | 0.693731 | − | 0.720234i | \(-0.255966\pi\) |
−0.470609 | + | 0.882342i | \(0.655966\pi\) | |||||||
\(234\) | 0.0198056 | − | 2.22464i | 0.00129473 | − | 0.145429i | ||||
\(235\) | 1.11905 | + | 3.44409i | 0.0729989 | + | 0.224668i | ||||
\(236\) | −9.52793 | + | 1.00143i | −0.620216 | + | 0.0651873i | ||||
\(237\) | −0.197797 | − | 1.88191i | −0.0128483 | − | 0.122243i | ||||
\(238\) | −9.03619 | + | 10.0357i | −0.585729 | + | 0.650518i | ||||
\(239\) | 2.32833 | + | 0.756519i | 0.150607 | + | 0.0489351i | 0.383350 | − | 0.923603i | \(-0.374770\pi\) |
−0.232743 | + | 0.972538i | \(0.574770\pi\) | |||||||
\(240\) | 5.66567 | + | 0.595486i | 0.365718 | + | 0.0384385i | ||||
\(241\) | 12.4911 | − | 7.21174i | 0.804623 | − | 0.464549i | −0.0404624 | − | 0.999181i | \(-0.512883\pi\) |
0.845085 | + | 0.534632i | \(0.179550\pi\) | |||||||
\(242\) | −0.916994 | − | 6.72509i | −0.0589466 | − | 0.432305i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 4.21456 | − | 1.87644i | 0.269810 | − | 0.120127i | ||||
\(245\) | 4.67085 | − | 4.20566i | 0.298410 | − | 0.268689i | ||||
\(246\) | −0.315111 | − | 0.969811i | −0.0200907 | − | 0.0618329i | ||||
\(247\) | 20.2476 | + | 2.31053i | 1.28832 | + | 0.147015i | ||||
\(248\) | 13.1472 | − | 9.55199i | 0.834847 | − | 0.606552i | ||||
\(249\) | −0.0880072 | + | 0.414041i | −0.00557723 | + | 0.0262388i | ||||
\(250\) | −0.790189 | − | 0.877594i | −0.0499759 | − | 0.0555039i | ||||
\(251\) | 1.41865 | − | 13.4976i | 0.0895444 | − | 0.851958i | −0.853902 | − | 0.520434i | \(-0.825770\pi\) |
0.943447 | − | 0.331525i | \(-0.107563\pi\) | |||||||
\(252\) | − | 4.87204i | − | 0.306910i | ||||||
\(253\) | −12.9742 | − | 10.1795i | −0.815680 | − | 0.639981i | ||||
\(254\) | −4.65233 | + | 2.68602i | −0.291913 | + | 0.168536i | ||||
\(255\) | 13.0912 | − | 18.0185i | 0.819805 | − | 1.12836i | ||||
\(256\) | 6.37020 | − | 1.35403i | 0.398138 | − | 0.0846268i | ||||
\(257\) | −27.3482 | − | 5.81305i | −1.70594 | − | 0.362608i | −0.751203 | − | 0.660072i | \(-0.770526\pi\) |
−0.954733 | + | 0.297464i | \(0.903859\pi\) | |||||||
\(258\) | 3.18785 | − | 0.335056i | 0.198467 | − | 0.0208597i | ||||
\(259\) | −25.6531 | + | 18.6381i | −1.59401 | + | 1.15812i | ||||
\(260\) | 7.41602 | − | 16.2654i | 0.459922 | − | 1.00874i | ||||
\(261\) | −2.22399 | + | 6.84473i | −0.137661 | + | 0.423678i | ||||
\(262\) | 0.0700571 | + | 0.157351i | 0.00432814 | + | 0.00972117i | ||||
\(263\) | −4.43449 | + | 7.68076i | −0.273442 | + | 0.473616i | −0.969741 | − | 0.244136i | \(-0.921496\pi\) |
0.696299 | + | 0.717752i | \(0.254829\pi\) | |||||||
\(264\) | 7.12394 | − | 2.02693i | 0.438448 | − | 0.124749i | ||||
\(265\) | 26.5657i | 1.63192i | ||||||||
\(266\) | −10.4357 | − | 1.09684i | −0.639854 | − | 0.0672514i | ||||
\(267\) | 0.616185 | + | 2.89892i | 0.0377099 | + | 0.177411i | ||||
\(268\) | −15.4567 | + | 5.02218i | −0.944168 | + | 0.306779i | ||||
\(269\) | 28.9817 | + | 12.9035i | 1.76705 | + | 0.786740i | 0.986939 | + | 0.161093i | \(0.0515020\pi\) |
0.780107 | + | 0.625646i | \(0.215165\pi\) | |||||||
\(270\) | −0.197481 | − | 1.87890i | −0.0120183 | − | 0.114346i | ||||
\(271\) | −6.04210 | + | 28.4258i | −0.367031 | + | 1.72675i | 0.276222 | + | 0.961094i | \(0.410917\pi\) |
−0.643254 | + | 0.765653i | \(0.722416\pi\) | |||||||
\(272\) | −4.18228 | + | 12.8717i | −0.253588 | + | 0.780464i | ||||
\(273\) | −10.2871 | − | 3.44403i | −0.622604 | − | 0.208442i | ||||
\(274\) | 2.55984 | 0.154646 | ||||||||
\(275\) | −13.0284 | − | 6.38754i | −0.785642 | − | 0.385183i | ||||
\(276\) | 4.02569 | − | 6.97270i | 0.242318 | − | 0.419707i | ||||
\(277\) | 0.0491017 | − | 0.467171i | 0.00295023 | − | 0.0280696i | −0.992948 | − | 0.118553i | \(-0.962174\pi\) |
0.995898 | + | 0.0904833i | \(0.0288412\pi\) | |||||||
\(278\) | −10.2950 | − | 3.34504i | −0.617451 | − | 0.200622i | ||||
\(279\) | 5.40781 | + | 4.86921i | 0.323757 | + | 0.291512i | ||||
\(280\) | −8.36788 | + | 18.7946i | −0.500076 | + | 1.12319i | ||||
\(281\) | −5.10449 | − | 7.02573i | −0.304508 | − | 0.419120i | 0.629150 | − | 0.777284i | \(-0.283403\pi\) |
−0.933659 | + | 0.358164i | \(0.883403\pi\) | |||||||
\(282\) | −0.488316 | + | 0.542329i | −0.0290788 | + | 0.0322952i | ||||
\(283\) | −8.34273 | − | 9.26554i | −0.495924 | − | 0.550779i | 0.442273 | − | 0.896880i | \(-0.354172\pi\) |
−0.938197 | + | 0.346101i | \(0.887505\pi\) | |||||||
\(284\) | 2.08918 | + | 4.69238i | 0.123970 | + | 0.278442i | ||||
\(285\) | 17.3059 | 1.02511 | ||||||||
\(286\) | 0.338287 | − | 7.37084i | 0.0200033 | − | 0.435847i | ||||
\(287\) | −4.97240 | −0.293511 | ||||||||
\(288\) | 2.28360 | + | 5.12905i | 0.134562 | + | 0.302232i | ||||
\(289\) | 24.0300 | + | 26.6880i | 1.41353 | + | 1.56988i | ||||
\(290\) | 9.09810 | − | 10.1045i | 0.534259 | − | 0.593355i | ||||
\(291\) | −4.05358 | − | 5.57927i | −0.237625 | − | 0.327063i | ||||
\(292\) | 5.67669 | − | 12.7501i | 0.332203 | − | 0.746141i | ||||
\(293\) | −7.13226 | − | 6.42191i | −0.416671 | − | 0.375172i | 0.433963 | − | 0.900931i | \(-0.357115\pi\) |
−0.850634 | + | 0.525759i | \(0.823782\pi\) | |||||||
\(294\) | 1.20462 | + | 0.391406i | 0.0702550 | + | 0.0228272i | ||||
\(295\) | −1.89357 | + | 18.0162i | −0.110248 | + | 1.04894i | ||||
\(296\) | 11.7677 | − | 20.3822i | 0.683981 | − | 1.18469i | ||||
\(297\) | 1.55104 | + | 2.93160i | 0.0900006 | + | 0.170109i | ||||
\(298\) | 1.46882 | 0.0850864 | ||||||||
\(299\) | −11.8768 | − | 13.4290i | −0.686853 | − | 0.776622i | ||||
\(300\) | 2.18914 | − | 6.73748i | 0.126390 | − | 0.388989i | ||||
\(301\) | 3.24973 | − | 15.2888i | 0.187311 | − | 0.881230i | ||||
\(302\) | 0.211947 | + | 2.01654i | 0.0121962 | + | 0.116039i | ||||
\(303\) | −10.5082 | − | 4.67854i | −0.603679 | − | 0.268775i | ||||
\(304\) | −10.0016 | + | 3.24972i | −0.573632 | + | 0.186384i | ||||
\(305\) | −1.81370 | − | 8.53277i | −0.103852 | − | 0.488585i | ||||
\(306\) | 4.46373 | + | 0.469157i | 0.255175 | + | 0.0268199i | ||||
\(307\) | − | 15.9707i | − | 0.911499i | −0.890108 | − | 0.455749i | \(-0.849371\pi\) | ||
0.890108 | − | 0.455749i | \(-0.150629\pi\) | |||||||
\(308\) | 0.597100 | − | 16.1477i | 0.0340229 | − | 0.920101i | ||||
\(309\) | −2.35265 | + | 4.07491i | −0.133838 | + | 0.231814i | ||||
\(310\) | −5.59179 | − | 12.5594i | −0.317592 | − | 0.713324i | ||||
\(311\) | 1.64493 | − | 5.06258i | 0.0932755 | − | 0.287073i | −0.893525 | − | 0.449014i | \(-0.851775\pi\) |
0.986800 | + | 0.161941i | \(0.0517755\pi\) | |||||||
\(312\) | 8.01498 | − | 0.770332i | 0.453759 | − | 0.0436114i | ||||
\(313\) | −11.0902 | + | 8.05749i | −0.626854 | + | 0.455436i | −0.855309 | − | 0.518118i | \(-0.826633\pi\) |
0.228455 | + | 0.973555i | \(0.426633\pi\) | |||||||
\(314\) | −8.34031 | + | 0.876602i | −0.470671 | + | 0.0494695i | ||||
\(315\) | −9.01112 | − | 1.91537i | −0.507719 | − | 0.107919i | ||||
\(316\) | 2.99716 | − | 0.637065i | 0.168603 | − | 0.0358377i | ||||
\(317\) | 11.9132 | − | 16.3972i | 0.669114 | − | 0.920956i | −0.330626 | − | 0.943762i | \(-0.607260\pi\) |
0.999740 | + | 0.0228054i | \(0.00725982\pi\) | |||||||
\(318\) | −4.63633 | + | 2.67679i | −0.259993 | + | 0.150107i | ||||
\(319\) | −8.20996 | + | 22.4133i | −0.459670 | + | 1.25491i | ||||
\(320\) | 0.786669i | 0.0439761i | ||||||||
\(321\) | 1.31448 | − | 12.5064i | 0.0733671 | − | 0.698041i | ||||
\(322\) | 6.17671 | + | 6.85993i | 0.344214 | + | 0.382289i | ||||
\(323\) | −8.54807 | + | 40.2155i | −0.475627 | + | 2.23765i | ||||
\(324\) | −1.31002 | + | 0.951786i | −0.0727789 | + | 0.0528770i | ||||
\(325\) | −12.6784 | − | 9.38498i | −0.703272 | − | 0.520585i | ||||
\(326\) | 2.02668 | + | 6.23747i | 0.112247 | + | 0.345461i | ||||
\(327\) | −3.28845 | + | 2.96094i | −0.181852 | + | 0.163740i | ||||
\(328\) | 3.37157 | − | 1.50112i | 0.186164 | − | 0.0828856i | ||||
\(329\) | 1.77928 | + | 3.08180i | 0.0980949 | + | 0.169905i | ||||
\(330\) | −0.424250 | − | 6.25156i | −0.0233542 | − | 0.344137i | ||||
\(331\) | −4.79526 | + | 2.76855i | −0.263571 | + | 0.152173i | −0.625963 | − | 0.779853i | \(-0.715294\pi\) |
0.362391 | + | 0.932026i | \(0.381960\pi\) | |||||||
\(332\) | −0.681670 | − | 0.0716464i | −0.0374115 | − | 0.00393211i | ||||
\(333\) | 10.0230 | + | 3.25668i | 0.549258 | + | 0.178465i | ||||
\(334\) | −7.40880 | + | 8.22831i | −0.405392 | + | 0.450233i | ||||
\(335\) | 3.21224 | + | 30.5624i | 0.175504 | + | 1.66980i | ||||
\(336\) | 5.56747 | − | 0.585165i | 0.303731 | − | 0.0319234i | ||||
\(337\) | −6.54243 | − | 20.1355i | −0.356389 | − | 1.09685i | −0.955200 | − | 0.295962i | \(-0.904360\pi\) |
0.598811 | − | 0.800890i | \(-0.295640\pi\) | |||||||
\(338\) | 1.80717 | − | 7.81516i | 0.0982970 | − | 0.425089i | ||||
\(339\) | −9.58113 | − | 6.96110i | −0.520376 | − | 0.378075i | ||||
\(340\) | 31.2330 | + | 18.0324i | 1.69384 | + | 0.977942i | ||||
\(341\) | 17.3267 | + | 16.8011i | 0.938292 | + | 0.909830i | ||||
\(342\) | 1.74376 | + | 3.02028i | 0.0942918 | + | 0.163318i | ||||
\(343\) | −8.74927 | + | 12.0423i | −0.472416 | + | 0.650225i | ||||
\(344\) | 2.41204 | + | 11.3477i | 0.130048 | + | 0.611829i | ||||
\(345\) | −11.3138 | − | 10.1870i | −0.609113 | − | 0.548448i | ||||
\(346\) | −0.182411 | − | 0.251067i | −0.00980647 | − | 0.0134974i | ||||
\(347\) | −24.5971 | − | 10.9513i | −1.32044 | − | 0.587897i | −0.379099 | − | 0.925356i | \(-0.623766\pi\) |
−0.941340 | + | 0.337459i | \(0.890433\pi\) | |||||||
\(348\) | −11.3992 | − | 2.42298i | −0.611062 | − | 0.129885i | ||||
\(349\) | 6.14253 | − | 5.53076i | 0.328802 | − | 0.296055i | −0.488151 | − | 0.872759i | \(-0.662328\pi\) |
0.816953 | + | 0.576705i | \(0.195662\pi\) | |||||||
\(350\) | 6.57090 | + | 4.77404i | 0.351229 | + | 0.255183i | ||||
\(351\) | 1.08361 | + | 3.43887i | 0.0578386 | + | 0.183553i | ||||
\(352\) | 6.94007 | + | 17.2794i | 0.369907 | + | 0.920994i | ||||
\(353\) | −22.8557 | − | 13.1958i | −1.21649 | − | 0.702339i | −0.252322 | − | 0.967643i | \(-0.581194\pi\) |
−0.964165 | + | 0.265304i | \(0.914528\pi\) | |||||||
\(354\) | −3.33503 | + | 1.48485i | −0.177255 | + | 0.0789189i | ||||
\(355\) | 9.50016 | − | 2.01932i | 0.504216 | − | 0.107174i | ||||
\(356\) | −4.56414 | + | 1.48298i | −0.241899 | + | 0.0785978i | ||||
\(357\) | 8.90188 | − | 19.9940i | 0.471138 | − | 1.05819i | ||||
\(358\) | 2.19174 | − | 4.92273i | 0.115837 | − | 0.260175i | ||||
\(359\) | 24.4175 | − | 7.93372i | 1.28870 | − | 0.418725i | 0.417067 | − | 0.908876i | \(-0.363058\pi\) |
0.871638 | + | 0.490150i | \(0.163058\pi\) | |||||||
\(360\) | 6.68830 | − | 1.42164i | 0.352504 | − | 0.0749271i | ||||
\(361\) | −11.8271 | + | 5.26578i | −0.622480 | + | 0.277146i | ||||
\(362\) | 9.57273 | + | 5.52682i | 0.503131 | + | 0.290483i | ||||
\(363\) | 4.78143 | + | 9.90646i | 0.250960 | + | 0.519954i | ||||
\(364\) | 3.80508 | − | 17.1493i | 0.199441 | − | 0.898870i | ||||
\(365\) | −21.3503 | − | 15.5119i | −1.11752 | − | 0.811928i | ||||
\(366\) | 1.30641 | − | 1.17630i | 0.0682874 | − | 0.0614862i | ||||
\(367\) | 19.3679 | + | 4.11678i | 1.01100 | + | 0.214894i | 0.683494 | − | 0.729956i | \(-0.260460\pi\) |
0.327503 | + | 0.944850i | \(0.393793\pi\) | |||||||
\(368\) | 8.45149 | + | 3.76284i | 0.440564 | + | 0.196152i | ||||
\(369\) | 0.971391 | + | 1.33700i | 0.0505686 | + | 0.0696017i | ||||
\(370\) | −14.7964 | − | 13.3227i | −0.769227 | − | 0.692615i | ||||
\(371\) | 5.42760 | + | 25.5348i | 0.281787 | + | 1.32570i | ||||
\(372\) | −6.92608 | + | 9.53292i | −0.359100 | + | 0.494259i | ||||
\(373\) | 10.5728 | + | 18.3126i | 0.547437 | + | 0.948189i | 0.998449 | + | 0.0556712i | \(0.0177298\pi\) |
−0.451012 | + | 0.892518i | \(0.648937\pi\) | |||||||
\(374\) | 14.7369 | + | 2.10201i | 0.762028 | + | 0.108693i | ||||
\(375\) | 1.65747 | + | 0.956939i | 0.0855912 | + | 0.0494161i | ||||
\(376\) | −2.13682 | − | 1.55249i | −0.110198 | − | 0.0800638i | ||||
\(377\) | −13.1741 | + | 22.3562i | −0.678500 | + | 1.15140i | ||||
\(378\) | −0.573692 | − | 1.76564i | −0.0295075 | − | 0.0908148i | ||||
\(379\) | −24.5697 | + | 2.58238i | −1.26206 | + | 0.132648i | −0.711822 | − | 0.702360i | \(-0.752130\pi\) |
−0.550238 | + | 0.835008i | \(0.685463\pi\) | |||||||
\(380\) | 2.92921 | + | 27.8695i | 0.150265 | + | 1.42968i | ||||
\(381\) | 5.82565 | − | 6.47004i | 0.298457 | − | 0.331470i | ||||
\(382\) | 10.0131 | + | 3.25347i | 0.512317 | + | 0.166462i | ||||
\(383\) | 0.947409 | + | 0.0995767i | 0.0484103 | + | 0.00508813i | 0.128703 | − | 0.991683i | \(-0.458919\pi\) |
−0.0802923 | + | 0.996771i | \(0.525585\pi\) | |||||||
\(384\) | −9.86179 | + | 5.69371i | −0.503257 | + | 0.290556i | ||||
\(385\) | −29.6314 | − | 7.45261i | −1.51015 | − | 0.379820i | ||||
\(386\) | 5.42811 | + | 9.40176i | 0.276283 | + | 0.478537i | ||||
\(387\) | −4.74578 | + | 2.11296i | −0.241242 | + | 0.107408i | ||||
\(388\) | 8.29878 | − | 7.47225i | 0.421307 | − | 0.379346i | ||||
\(389\) | −0.819382 | − | 2.52180i | −0.0415443 | − | 0.127860i | 0.928133 | − | 0.372248i | \(-0.121413\pi\) |
−0.969678 | + | 0.244388i | \(0.921413\pi\) | |||||||
\(390\) | 0.772307 | − | 6.76787i | 0.0391073 | − | 0.342704i | ||||
\(391\) | 29.2607 | − | 21.2592i | 1.47978 | − | 1.07512i | ||||
\(392\) | −0.953114 | + | 4.48405i | −0.0481395 | + | 0.226479i | ||||
\(393\) | −0.186786 | − | 0.207447i | −0.00942210 | − | 0.0104643i | ||||
\(394\) | 1.33400 | − | 12.6922i | 0.0672060 | − | 0.639423i | ||||
\(395\) | − | 5.79386i | − | 0.291521i | ||||||
\(396\) | −4.45853 | + | 2.99401i | −0.224049 | + | 0.150455i | ||||
\(397\) | −22.4145 | + | 12.9410i | −1.12495 | + | 0.649490i | −0.942660 | − | 0.333755i | \(-0.891684\pi\) |
−0.182290 | + | 0.983245i | \(0.558351\pi\) | |||||||
\(398\) | −7.88074 | + | 10.8469i | −0.395026 | + | 0.543706i | ||||
\(399\) | 16.6344 | − | 3.53574i | 0.832759 | − | 0.177008i | ||||
\(400\) | 7.96212 | + | 1.69240i | 0.398106 | + | 0.0846200i | ||||
\(401\) | −13.8392 | + | 1.45456i | −0.691097 | + | 0.0726372i | −0.443565 | − | 0.896242i | \(-0.646286\pi\) |
−0.247532 | + | 0.968880i | \(0.579620\pi\) | |||||||
\(402\) | −5.01018 | + | 3.64011i | −0.249885 | + | 0.181552i | ||||
\(403\) | 15.2323 | + | 21.3629i | 0.758777 | + | 1.06416i | ||||
\(404\) | 5.75573 | − | 17.7143i | 0.286358 | − | 0.881320i | ||||
\(405\) | 1.24537 | + | 2.79714i | 0.0618828 | + | 0.138991i | ||||
\(406\) | 6.68062 | − | 11.5712i | 0.331553 | − | 0.574267i | ||||
\(407\) | 32.8208 | + | 12.0222i | 1.62687 | + | 0.595918i | ||||
\(408\) | 16.2445i | 0.804221i | ||||||||
\(409\) | 20.3294 | + | 2.13671i | 1.00522 | + | 0.105653i | 0.592809 | − | 0.805343i | \(-0.298019\pi\) |
0.412415 | + | 0.910996i | \(0.364685\pi\) | |||||||
\(410\) | −0.649148 | − | 3.05400i | −0.0320591 | − | 0.150826i | ||||
\(411\) | −3.94561 | + | 1.28201i | −0.194622 | + | 0.0632367i | ||||
\(412\) | −6.96047 | − | 3.09900i | −0.342918 | − | 0.152677i | ||||
\(413\) | 1.86075 | + | 17.7039i | 0.0915617 | + | 0.871152i | ||||
\(414\) | 0.637873 | − | 3.00096i | 0.0313498 | − | 0.147489i | ||||
\(415\) | −0.400503 | + | 1.23262i | −0.0196599 | + | 0.0605070i | ||||
\(416\) | 4.03235 | + | 19.8375i | 0.197702 | + | 0.972613i | ||||
\(417\) | 17.5434 | 0.859102 | ||||||||
\(418\) | 5.40929 | + | 10.2240i | 0.264577 | + | 0.500073i | ||||
\(419\) | 6.49945 | − | 11.2574i | 0.317519 | − | 0.549958i | −0.662451 | − | 0.749105i | \(-0.730484\pi\) |
0.979970 | + | 0.199147i | \(0.0638170\pi\) | |||||||
\(420\) | 1.55930 | − | 14.8357i | 0.0760860 | − | 0.723910i | ||||
\(421\) | −11.4563 | − | 3.72238i | −0.558346 | − | 0.181418i | 0.0162309 | − | 0.999868i | \(-0.494833\pi\) |
−0.574577 | + | 0.818451i | \(0.694833\pi\) | |||||||
\(422\) | −3.44035 | − | 3.09771i | −0.167474 | − | 0.150794i | ||||
\(423\) | 0.481058 | − | 1.08047i | 0.0233898 | − | 0.0525344i | ||||
\(424\) | −11.3890 | − | 15.6756i | −0.553097 | − | 0.761272i | ||||
\(425\) | 21.2941 | − | 23.6495i | 1.03292 | − | 1.14717i | ||||
\(426\) | 1.30966 | + | 1.45453i | 0.0634533 | + | 0.0704720i | ||||
\(427\) | −3.48663 | − | 7.83109i | −0.168730 | − | 0.378973i | ||||
\(428\) | 20.3629 | 0.984278 | ||||||||
\(429\) | 3.17000 | + | 11.5304i | 0.153049 | + | 0.556695i | ||||
\(430\) | 9.81448 | 0.473296 | ||||||||
\(431\) | 13.1624 | + | 29.5631i | 0.634009 | + | 1.42401i | 0.889382 | + | 0.457164i | \(0.151135\pi\) |
−0.255374 | + | 0.966842i | \(0.582199\pi\) | |||||||
\(432\) | −1.24498 | − | 1.38270i | −0.0598994 | − | 0.0665250i | ||||
\(433\) | 21.9503 | − | 24.3783i | 1.05487 | − | 1.17155i | 0.0701221 | − | 0.997538i | \(-0.477661\pi\) |
0.984744 | − | 0.174009i | \(-0.0556722\pi\) | |||||||
\(434\) | −7.94078 | − | 10.9295i | −0.381169 | − | 0.524635i | ||||
\(435\) | −8.96288 | + | 20.1310i | −0.429737 | + | 0.965205i | ||||
\(436\) | −5.32491 | − | 4.79457i | −0.255017 | − | 0.229618i | ||||
\(437\) | 26.7280 | + | 8.68447i | 1.27858 | + | 0.415434i | ||||
\(438\) | 0.555907 | − | 5.28910i | 0.0265622 | − | 0.252723i | ||||
\(439\) | −9.33421 | + | 16.1673i | −0.445498 | + | 0.771625i | −0.998087 | − | 0.0618293i | \(-0.980307\pi\) |
0.552589 | + | 0.833454i | \(0.313640\pi\) | |||||||
\(440\) | 22.3417 | − | 3.89214i | 1.06510 | − | 0.185550i | ||||
\(441\) | −2.05276 | −0.0977506 | ||||||||
\(442\) | 15.3457 | + | 5.13760i | 0.729920 | + | 0.244371i | ||||
\(443\) | 5.34565 | − | 16.4522i | 0.253980 | − | 0.781669i | −0.740049 | − | 0.672553i | \(-0.765198\pi\) |
0.994029 | − | 0.109116i | \(-0.0348021\pi\) | |||||||
\(444\) | −3.54807 | + | 16.6923i | −0.168384 | + | 0.792184i | ||||
\(445\) | 0.948529 | + | 9.02465i | 0.0449646 | + | 0.427810i | ||||
\(446\) | −11.9227 | − | 5.30833i | −0.564556 | − | 0.251357i | ||||
\(447\) | −2.26396 | + | 0.735605i | −0.107082 | + | 0.0347929i | ||||
\(448\) | 0.160723 | + | 0.756141i | 0.00759344 | + | 0.0357243i | ||||
\(449\) | 12.7972 | + | 1.34504i | 0.603939 | + | 0.0634765i | 0.401563 | − | 0.915831i | \(-0.368467\pi\) |
0.202376 | + | 0.979308i | \(0.435134\pi\) | |||||||
\(450\) | − | 2.69946i | − | 0.127254i | ||||||
\(451\) | 3.05568 | + | 4.55036i | 0.143886 | + | 0.214268i | ||||
\(452\) | 9.58848 | − | 16.6077i | 0.451004 | − | 0.781162i | ||||
\(453\) | −1.33659 | − | 3.00204i | −0.0627987 | − | 0.141048i | ||||
\(454\) | 1.99051 | − | 6.12616i | 0.0934192 | − | 0.287515i | ||||
\(455\) | −30.2228 | − | 13.7797i | −1.41687 | − | 0.646004i | ||||
\(456\) | −10.2117 | + | 7.41920i | −0.478204 | + | 0.347436i | ||||
\(457\) | 29.3597 | − | 3.08583i | 1.37339 | − | 0.144349i | 0.611084 | − | 0.791566i | \(-0.290734\pi\) |
0.762306 | + | 0.647217i | \(0.224067\pi\) | |||||||
\(458\) | 3.93396 | + | 0.836188i | 0.183822 | + | 0.0390725i | ||||
\(459\) | −7.11512 | + | 1.51237i | −0.332105 | + | 0.0705912i | ||||
\(460\) | 14.4902 | − | 19.9440i | 0.675607 | − | 0.929893i | ||||
\(461\) | 5.72987 | − | 3.30814i | 0.266867 | − | 0.154076i | −0.360596 | − | 0.932722i | \(-0.617427\pi\) |
0.627463 | + | 0.778646i | \(0.284093\pi\) | |||||||
\(462\) | −1.68503 | − | 5.92228i | −0.0783947 | − | 0.275530i | ||||
\(463\) | 39.8637i | 1.85262i | 0.376757 | + | 0.926312i | \(0.377039\pi\) | ||||
−0.376757 | + | 0.926312i | \(0.622961\pi\) | |||||||
\(464\) | 1.39971 | − | 13.3173i | 0.0649799 | − | 0.618242i | ||||
\(465\) | 14.9088 | + | 16.5579i | 0.691379 | + | 0.767854i | ||||
\(466\) | −0.540068 | + | 2.54082i | −0.0250182 | + | 0.117701i | ||||
\(467\) | 2.39057 | − | 1.73685i | 0.110622 | − | 0.0803718i | −0.531099 | − | 0.847310i | \(-0.678221\pi\) |
0.641721 | + | 0.766938i | \(0.278221\pi\) | |||||||
\(468\) | −5.35455 | + | 2.32711i | −0.247514 | + | 0.107571i | ||||
\(469\) | 9.33174 | + | 28.7201i | 0.430900 | + | 1.32617i | ||||
\(470\) | −1.66053 | + | 1.49515i | −0.0765946 | + | 0.0689661i | ||||
\(471\) | 12.4163 | − | 5.52809i | 0.572113 | − | 0.254721i | ||||
\(472\) | −6.60634 | − | 11.4425i | −0.304082 | − | 0.526685i | ||||
\(473\) | −15.9882 | + | 6.42148i | −0.735138 | + | 0.295260i | ||||
\(474\) | 1.01116 | − | 0.583795i | 0.0464442 | − | 0.0268146i | ||||
\(475\) | 24.5921 | + | 2.58474i | 1.12836 | + | 0.118596i | ||||
\(476\) | 33.7051 | + | 10.9514i | 1.54487 | + | 0.501959i | ||||
\(477\) | 5.80562 | − | 6.44780i | 0.265821 | − | 0.295224i | ||||
\(478\) | 0.157898 | + | 1.50230i | 0.00722211 | + | 0.0687138i | ||||
\(479\) | −1.52100 | + | 0.159864i | −0.0694963 | + | 0.00730436i | −0.139213 | − | 0.990262i | \(-0.544457\pi\) |
0.0697165 | + | 0.997567i | \(0.477791\pi\) | |||||||
\(480\) | 5.31218 | + | 16.3492i | 0.242467 | + | 0.746236i | ||||
\(481\) | 32.7370 | + | 19.2914i | 1.49268 | + | 0.879610i | ||||
\(482\) | 7.20002 | + | 5.23112i | 0.327952 | + | 0.238271i | ||||
\(483\) | −12.9560 | − | 7.48015i | −0.589518 | − | 0.340359i | ||||
\(484\) | −15.1441 | + | 9.37680i | −0.688368 | + | 0.426218i | ||||
\(485\) | −10.5578 | − | 18.2867i | −0.479406 | − | 0.830355i | ||||
\(486\) | −0.362681 | + | 0.499187i | −0.0164515 | + | 0.0226436i | ||||
\(487\) | −1.06795 | − | 5.02430i | −0.0483933 | − | 0.227673i | 0.947304 | − | 0.320335i | \(-0.103796\pi\) |
−0.995698 | + | 0.0926625i | \(0.970462\pi\) | |||||||
\(488\) | 4.72827 | + | 4.25736i | 0.214039 | + | 0.192721i | ||||
\(489\) | −6.24762 | − | 8.59911i | −0.282527 | − | 0.388865i | ||||
\(490\) | 3.54290 | + | 1.57740i | 0.160052 | + | 0.0712597i | ||||
\(491\) | −18.0266 | − | 3.83167i | −0.813529 | − | 0.172921i | −0.217683 | − | 0.976020i | \(-0.569850\pi\) |
−0.595846 | + | 0.803098i | \(0.703183\pi\) | |||||||
\(492\) | −1.98870 | + | 1.79063i | −0.0896575 | + | 0.0807280i | ||||
\(493\) | −42.3532 | − | 30.7714i | −1.90749 | − | 1.38587i | ||||
\(494\) | 3.77910 | + | 11.9931i | 0.170030 | + | 0.539596i | ||||
\(495\) | 3.78479 | + | 9.42335i | 0.170113 | + | 0.423548i | ||||
\(496\) | −11.7255 | − | 6.76973i | −0.526491 | − | 0.303970i | ||||
\(497\) | 8.71893 | − | 3.88192i | 0.391097 | − | 0.174128i | ||||
\(498\) | −0.255476 | + | 0.0543030i | −0.0114481 | + | 0.00243338i | ||||
\(499\) | −13.4646 | + | 4.37490i | −0.602756 | + | 0.195847i | −0.594469 | − | 0.804118i | \(-0.702638\pi\) |
−0.00828693 | + | 0.999966i | \(0.502638\pi\) | |||||||
\(500\) | −1.26052 | + | 2.83116i | −0.0563720 | + | 0.126613i | ||||
\(501\) | 7.29868 | − | 16.3931i | 0.326081 | − | 0.732390i | ||||
\(502\) | 7.96440 | − | 2.58779i | 0.355469 | − | 0.115499i | ||||
\(503\) | −21.9554 | + | 4.66675i | −0.978941 | + | 0.208080i | −0.669479 | − | 0.742831i | \(-0.733482\pi\) |
−0.309462 | + | 0.950912i | \(0.600149\pi\) | |||||||
\(504\) | 6.13830 | − | 2.73295i | 0.273422 | − | 0.121735i | ||||
\(505\) | −30.5009 | − | 17.6097i | −1.35727 | − | 0.783620i | ||||
\(506\) | 2.48193 | − | 9.86808i | 0.110335 | − | 0.438690i | ||||
\(507\) | 1.12847 | + | 12.9509i | 0.0501170 | + | 0.575171i | ||||
\(508\) | 11.4054 | + | 8.28653i | 0.506034 | + | 0.367656i | ||||
\(509\) | 2.92966 | − | 2.63788i | 0.129855 | − | 0.116922i | −0.601644 | − | 0.798764i | \(-0.705488\pi\) |
0.731499 | + | 0.681842i | \(0.238821\pi\) | |||||||
\(510\) | 13.4423 | + | 2.85724i | 0.595233 | + | 0.126521i | ||||
\(511\) | −23.6909 | − | 10.5479i | −1.04803 | − | 0.466611i | ||||
\(512\) | −11.0247 | − | 15.1743i | −0.487230 | − | 0.670614i | ||||
\(513\) | −4.20034 | − | 3.78200i | −0.185450 | − | 0.166980i | ||||
\(514\) | −3.58682 | − | 16.8747i | −0.158208 | − | 0.744309i | ||||
\(515\) | −8.46818 | + | 11.6555i | −0.373153 | + | 0.513601i | ||||
\(516\) | −4.20599 | − | 7.28499i | −0.185158 | − | 0.320704i | ||||
\(517\) | 1.72682 | − | 3.52212i | 0.0759453 | − | 0.154903i | ||||
\(518\) | −16.9441 | − | 9.78270i | −0.744483 | − | 0.429827i | ||||
\(519\) | 0.406896 | + | 0.295628i | 0.0178608 | + | 0.0129766i | ||||
\(520\) | 24.6528 | + | 0.219479i | 1.08110 | + | 0.00962479i | ||||
\(521\) | 1.96053 | + | 6.03388i | 0.0858922 | + | 0.264349i | 0.984773 | − | 0.173844i | \(-0.0556187\pi\) |
−0.898881 | + | 0.438193i | \(0.855619\pi\) | |||||||
\(522\) | −4.41642 | + | 0.464184i | −0.193301 | + | 0.0203168i | ||||
\(523\) | −1.03580 | − | 9.85495i | −0.0452922 | − | 0.430927i | −0.993547 | − | 0.113418i | \(-0.963820\pi\) |
0.948255 | − | 0.317509i | \(-0.102846\pi\) | |||||||
\(524\) | 0.302458 | − | 0.335913i | 0.0132129 | − | 0.0146744i | ||||
\(525\) | −12.5189 | − | 4.06765i | −0.546372 | − | 0.177527i | ||||
\(526\) | −5.44244 | − | 0.572024i | −0.237302 | − | 0.0249414i | ||||
\(527\) | −45.8413 | + | 26.4665i | −1.99688 | + | 1.15290i | ||||
\(528\) | −3.95687 | − | 4.73533i | −0.172201 | − | 0.206079i | ||||
\(529\) | −0.861455 | − | 1.49208i | −0.0374546 | − | 0.0648732i | ||||
\(530\) | −14.9747 | + | 6.66716i | −0.650459 | + | 0.289603i | ||||
\(531\) | 4.39681 | − | 3.95890i | 0.190805 | − | 0.171802i | ||||
\(532\) | 8.50951 | + | 26.1896i | 0.368934 | + | 1.13546i | ||||
\(533\) | 2.37504 | + | 5.46485i | 0.102874 | + | 0.236709i | ||||
\(534\) | −1.47943 | + | 1.07487i | −0.0640214 | + | 0.0465143i | ||||
\(535\) | 8.00538 | − | 37.6623i | 0.346103 | − | 1.62829i | ||||
\(536\) | −14.9978 | − | 16.6568i | −0.647807 | − | 0.719462i | ||||
\(537\) | −0.912862 | + | 8.68530i | −0.0393929 | + | 0.374798i | ||||
\(538\) | 19.5749i | 0.843934i | ||||||||
\(539\) | −6.80359 | − | 0.251579i | −0.293052 | − | 0.0108363i | ||||
\(540\) | −4.29373 | + | 2.47899i | −0.184773 | + | 0.106679i | ||||
\(541\) | 6.26577 | − | 8.62410i | 0.269387 | − | 0.370779i | −0.652796 | − | 0.757534i | \(-0.726404\pi\) |
0.922183 | + | 0.386755i | \(0.126404\pi\) | |||||||
\(542\) | −17.5396 | + | 3.72815i | −0.753389 | + | 0.160138i | ||||
\(543\) | −17.5228 | − | 3.72459i | −0.751976 | − | 0.159837i | ||||
\(544\) | −40.6162 | + | 4.26893i | −1.74140 | + | 0.183029i | ||||
\(545\) | −10.9612 | + | 7.96381i | −0.469528 | + | 0.341132i | ||||
\(546\) | −0.640393 | − | 6.66302i | −0.0274063 | − | 0.285151i | ||||
\(547\) | 6.60782 | − | 20.3368i | 0.282530 | − | 0.869538i | −0.704598 | − | 0.709606i | \(-0.748873\pi\) |
0.987128 | − | 0.159931i | \(-0.0511272\pi\) | |||||||
\(548\) | −2.73238 | − | 6.13703i | −0.116722 | − | 0.262161i | ||||
\(549\) | −1.42453 | + | 2.46736i | −0.0607975 | + | 0.105304i | ||||
\(550\) | 0.330836 | − | 8.94698i | 0.0141069 | − | 0.381500i | ||||
\(551\) | − | 40.6781i | − | 1.73295i | ||||||
\(552\) | 11.0431 | + | 1.16068i | 0.470026 | + | 0.0494017i | ||||
\(553\) | −1.18373 | − | 5.56903i | −0.0503375 | − | 0.236819i | ||||
\(554\) | 0.275660 | − | 0.0895674i | 0.0117117 | − | 0.00380535i | ||||
\(555\) | 29.4786 | + | 13.1247i | 1.25130 | + | 0.557113i | ||||
\(556\) | 2.96940 | + | 28.2519i | 0.125930 | + | 1.19815i | ||||
\(557\) | −2.22924 | + | 10.4877i | −0.0944558 | + | 0.444379i | 0.905350 | + | 0.424666i | \(0.139609\pi\) |
−0.999806 | + | 0.0197131i | \(0.993725\pi\) | |||||||
\(558\) | −1.38751 | + | 4.27032i | −0.0587380 | + | 0.180777i | ||||
\(559\) | −18.3551 | + | 3.73103i | −0.776339 | + | 0.157806i | ||||
\(560\) | 17.1407 | 0.724325 | ||||||||
\(561\) | −23.7674 | + | 4.14052i | −1.00346 | + | 0.174813i | ||||
\(562\) | 2.67923 | − | 4.64056i | 0.113016 | − | 0.195750i | ||||
\(563\) | −3.13704 | + | 29.8469i | −0.132210 | + | 1.25790i | 0.704282 | + | 0.709920i | \(0.251269\pi\) |
−0.836493 | + | 0.547978i | \(0.815398\pi\) | |||||||
\(564\) | 1.82142 | + | 0.591816i | 0.0766957 | + | 0.0249200i | ||||
\(565\) | −26.9474 | − | 24.2635i | −1.13368 | − | 1.02077i | ||||
\(566\) | 3.12908 | − | 7.02802i | 0.131525 | − | 0.295410i | ||||
\(567\) | 1.76852 | + | 2.43415i | 0.0742707 | + | 0.102225i | ||||
\(568\) | −4.74003 | + | 5.26433i | −0.198887 | + | 0.220886i | ||||
\(569\) | −7.98201 | − | 8.86492i | −0.334623 | − | 0.371637i | 0.552227 | − | 0.833694i | \(-0.313778\pi\) |
−0.886850 | + | 0.462057i | \(0.847112\pi\) | |||||||
\(570\) | 4.34324 | + | 9.75508i | 0.181918 | + | 0.408595i | ||||
\(571\) | 11.8069 | 0.494102 | 0.247051 | − | 0.969003i | \(-0.420539\pi\) | ||||
0.247051 | + | 0.969003i | \(0.420539\pi\) | |||||||
\(572\) | −18.0321 | + | 7.05663i | −0.753961 | + | 0.295053i | ||||
\(573\) | −17.0631 | −0.712822 | ||||||||
\(574\) | −1.24791 | − | 2.80286i | −0.0520869 | − | 0.116989i | ||||
\(575\) | −14.5556 | − | 16.1657i | −0.607013 | − | 0.674156i | ||||
\(576\) | 0.171917 | − | 0.190933i | 0.00716321 | − | 0.00795555i | ||||
\(577\) | 23.0782 | + | 31.7644i | 0.960757 | + | 1.32237i | 0.946580 | + | 0.322469i | \(0.104513\pi\) |
0.0141773 | + | 0.999899i | \(0.495487\pi\) | |||||||
\(578\) | −9.01283 | + | 20.2431i | −0.374884 | + | 0.842004i | ||||
\(579\) | −13.0751 | − | 11.7729i | −0.543384 | − | 0.489265i | ||||
\(580\) | −33.9360 | − | 11.0265i | −1.40912 | − | 0.457850i | ||||
\(581\) | −0.133126 | + | 1.26661i | −0.00552302 | + | 0.0525480i | ||||
\(582\) | 2.12763 | − | 3.68516i | 0.0881931 | − | 0.152755i | ||||
\(583\) | 20.0321 | − | 20.6588i | 0.829647 | − | 0.855600i | ||||
\(584\) | 19.2481 | 0.796494 | ||||||||
\(585\) | 2.19905 | + | 10.8184i | 0.0909196 | + | 0.447287i | ||||
\(586\) | 1.82996 | − | 5.63204i | 0.0755950 | − | 0.232657i | ||||
\(587\) | 3.00528 | − | 14.1387i | 0.124041 | − | 0.583568i | −0.871593 | − | 0.490230i | \(-0.836913\pi\) |
0.995634 | − | 0.0933384i | \(-0.0297538\pi\) | |||||||
\(588\) | −0.347451 | − | 3.30578i | −0.0143286 | − | 0.136328i | ||||
\(589\) | −37.5741 | − | 16.7291i | −1.54822 | − | 0.689310i | ||||
\(590\) | −10.6307 | + | 3.45411i | −0.437657 | + | 0.142203i | ||||
\(591\) | 4.30026 | + | 20.2311i | 0.176889 | + | 0.832198i | ||||
\(592\) | −19.5011 | − | 2.04965i | −0.801492 | − | 0.0842402i | ||||
\(593\) | − | 12.0082i | − | 0.493116i | −0.969128 | − | 0.246558i | \(-0.920700\pi\) | ||
0.969128 | − | 0.246558i | \(-0.0792996\pi\) | |||||||
\(594\) | −1.26323 | + | 1.61004i | −0.0518311 | + | 0.0660606i | ||||
\(595\) | 33.5060 | − | 58.0341i | 1.37361 | − | 2.37917i | ||||
\(596\) | −1.56782 | − | 3.52138i | −0.0642204 | − | 0.144241i | ||||
\(597\) | 6.71467 | − | 20.6656i | 0.274813 | − | 0.845788i | ||||
\(598\) | 4.58904 | − | 10.0650i | 0.187660 | − | 0.411590i | ||||
\(599\) | 5.51724 | − | 4.00851i | 0.225428 | − | 0.163783i | −0.469338 | − | 0.883018i | \(-0.655508\pi\) |
0.694767 | + | 0.719235i | \(0.255508\pi\) | |||||||
\(600\) | 9.71656 | − | 1.02125i | 0.396677 | − | 0.0416924i | ||||
\(601\) | 36.1752 | + | 7.68927i | 1.47562 | + | 0.313652i | 0.874310 | − | 0.485368i | \(-0.161314\pi\) |
0.601305 | + | 0.799019i | \(0.294648\pi\) | |||||||
\(602\) | 9.43362 | − | 2.00518i | 0.384486 | − | 0.0817249i | ||||
\(603\) | 5.89941 | − | 8.11984i | 0.240242 | − | 0.330665i | ||||
\(604\) | 4.60827 | − | 2.66058i | 0.187508 | − | 0.108258i | ||||
\(605\) | 11.3893 | + | 31.6962i | 0.463039 | + | 1.28864i | ||||
\(606\) | − | 7.09747i | − | 0.288315i | ||||||
\(607\) | 0.271840 | − | 2.58639i | 0.0110337 | − | 0.104978i | −0.987619 | − | 0.156872i | \(-0.949859\pi\) |
0.998653 | + | 0.0518937i | \(0.0165257\pi\) | |||||||
\(608\) | −21.2338 | − | 23.5826i | −0.861146 | − | 0.956399i | ||||
\(609\) | −4.50215 | + | 21.1809i | −0.182436 | + | 0.858295i | ||||
\(610\) | 4.35461 | − | 3.16381i | 0.176313 | − | 0.128099i | ||||
\(611\) | 2.53715 | − | 3.42750i | 0.102642 | − | 0.138662i | ||||
\(612\) | −3.63983 | − | 11.2022i | −0.147131 | − | 0.452824i | ||||
\(613\) | −1.56024 | + | 1.40485i | −0.0630177 | + | 0.0567414i | −0.700038 | − | 0.714106i | \(-0.746834\pi\) |
0.637020 | + | 0.770847i | \(0.280167\pi\) | |||||||
\(614\) | 9.00246 | − | 4.00815i | 0.363310 | − | 0.161756i | ||||
\(615\) | 2.53005 | + | 4.38218i | 0.102021 | + | 0.176706i | ||||
\(616\) | 20.6795 | − | 8.30568i | 0.833200 | − | 0.334645i | ||||
\(617\) | 36.9806 | − | 21.3507i | 1.48878 | − | 0.859548i | 0.488863 | − | 0.872361i | \(-0.337412\pi\) |
0.999918 | + | 0.0128124i | \(0.00407842\pi\) | |||||||
\(618\) | −2.88741 | − | 0.303479i | −0.116148 | − | 0.0122077i | ||||
\(619\) | −18.7574 | − | 6.09465i | −0.753924 | − | 0.244965i | −0.0932552 | − | 0.995642i | \(-0.529727\pi\) |
−0.660669 | + | 0.750677i | \(0.729727\pi\) | |||||||
\(620\) | −24.1415 | + | 26.8118i | −0.969544 | + | 1.07679i | ||||
\(621\) | 0.519738 | + | 4.94498i | 0.0208564 | + | 0.198435i | ||||
\(622\) | 3.26652 | − | 0.343325i | 0.130976 | − | 0.0137661i | ||||
\(623\) | 2.75553 | + | 8.48065i | 0.110398 | + | 0.339770i | ||||
\(624\) | −3.30239 | − | 5.83935i | −0.132201 | − | 0.233761i | ||||
\(625\) | 22.4378 | + | 16.3020i | 0.897512 | + | 0.652081i | ||||
\(626\) | −7.32517 | − | 4.22919i | −0.292773 | − | 0.169032i | ||||
\(627\) | −13.4579 | − | 13.0497i | −0.537458 | − | 0.521155i | ||||
\(628\) | 11.0040 | + | 19.0596i | 0.439109 | + | 0.760560i | ||||
\(629\) | −45.0598 | + | 62.0195i | −1.79665 | + | 2.47288i | ||||
\(630\) | −1.18184 | − | 5.56013i | −0.0470857 | − | 0.221521i | ||||
\(631\) | 28.7111 | + | 25.8516i | 1.14297 | + | 1.02913i | 0.999219 | + | 0.0395210i | \(0.0125832\pi\) |
0.143751 | + | 0.989614i | \(0.454083\pi\) | |||||||
\(632\) | 2.48388 | + | 3.41877i | 0.0988034 | + | 0.135991i | ||||
\(633\) | 6.85415 | + | 3.05166i | 0.272428 | + | 0.121293i | ||||
\(634\) | 12.2327 | + | 2.60013i | 0.485821 | + | 0.103265i | ||||
\(635\) | 19.8103 | − | 17.8373i | 0.786148 | − | 0.707851i | ||||
\(636\) | 11.3662 | + | 8.25804i | 0.450700 | + | 0.327453i | ||||
\(637\) | −7.22562 | − | 1.60321i | −0.286289 | − | 0.0635217i | ||||
\(638\) | −14.6945 | + | 0.997214i | −0.581760 | + | 0.0394801i | ||||
\(639\) | −2.74709 | − | 1.58603i | −0.108673 | − | 0.0627425i | ||||
\(640\) | −31.8522 | + | 14.1815i | −1.25907 | + | 0.560573i | ||||
\(641\) | −24.9412 | + | 5.30143i | −0.985120 | + | 0.209394i | −0.672187 | − | 0.740381i | \(-0.734645\pi\) |
−0.312933 | + | 0.949775i | \(0.601312\pi\) | |||||||
\(642\) | 7.37957 | − | 2.39777i | 0.291248 | − | 0.0946324i | ||||
\(643\) | 14.1123 | − | 31.6968i | 0.556536 | − | 1.25000i | −0.388020 | − | 0.921651i | \(-0.626841\pi\) |
0.944556 | − | 0.328350i | \(-0.106492\pi\) | |||||||
\(644\) | 9.85313 | − | 22.1305i | 0.388268 | − | 0.872064i | ||||
\(645\) | −15.1275 | + | 4.91523i | −0.595646 | + | 0.193537i | ||||
\(646\) | −24.8141 | + | 5.27441i | −0.976299 | + | 0.207519i | ||||
\(647\) | 8.20476 | − | 3.65300i | 0.322563 | − | 0.143614i | −0.239067 | − | 0.971003i | \(-0.576841\pi\) |
0.561629 | + | 0.827389i | \(0.310175\pi\) | |||||||
\(648\) | −1.93401 | − | 1.11660i | −0.0759750 | − | 0.0438642i | ||||
\(649\) | 15.0578 | − | 12.5824i | 0.591070 | − | 0.493901i | ||||
\(650\) | 2.10829 | − | 9.50195i | 0.0826938 | − | 0.372697i | ||||
\(651\) | 17.7132 | + | 12.8694i | 0.694234 | + | 0.504390i | ||||
\(652\) | 12.7906 | − | 11.5167i | 0.500918 | − | 0.451028i | ||||
\(653\) | −6.14580 | − | 1.30633i | −0.240504 | − | 0.0511206i | 0.0860827 | − | 0.996288i | \(-0.472565\pi\) |
−0.326586 | + | 0.945167i | \(0.605898\pi\) | |||||||
\(654\) | −2.49433 | − | 1.11055i | −0.0975361 | − | 0.0434259i | ||||
\(655\) | −0.502384 | − | 0.691472i | −0.0196298 | − | 0.0270181i | ||||
\(656\) | −2.28508 | − | 2.05750i | −0.0892175 | − | 0.0803318i | ||||
\(657\) | 1.79201 | + | 8.43074i | 0.0699130 | + | 0.328915i | ||||
\(658\) | −1.29062 | + | 1.77639i | −0.0503137 | + | 0.0692508i | ||||
\(659\) | 8.84464 | + | 15.3194i | 0.344538 | + | 0.596758i | 0.985270 | − | 0.171007i | \(-0.0547021\pi\) |
−0.640731 | + | 0.767765i | \(0.721369\pi\) | |||||||
\(660\) | −14.5348 | + | 7.69004i | −0.565766 | + | 0.299334i | ||||
\(661\) | −42.9145 | − | 24.7767i | −1.66918 | − | 0.963702i | −0.968081 | − | 0.250639i | \(-0.919359\pi\) |
−0.701100 | − | 0.713063i | \(-0.747307\pi\) | |||||||
\(662\) | −2.76404 | − | 2.00820i | −0.107428 | − | 0.0780508i | ||||
\(663\) | −26.2260 | − | 0.233485i | −1.01853 | − | 0.00906781i | ||||
\(664\) | −0.292112 | − | 0.899027i | −0.0113361 | − | 0.0348890i | ||||
\(665\) | 51.7845 | − | 5.44277i | 2.00812 | − | 0.211062i | ||||
\(666\) | 0.679724 | + | 6.46714i | 0.0263388 | + | 0.250597i | ||||
\(667\) | −23.9448 | + | 26.5934i | −0.927146 | + | 1.02970i | ||||
\(668\) | 27.6349 | + | 8.97913i | 1.06923 | + | 0.347413i | ||||
\(669\) | 21.0355 | + | 2.21092i | 0.813280 | + | 0.0854792i | ||||
\(670\) | −16.4214 | + | 9.48090i | −0.634414 | + | 0.366279i | ||||
\(671\) | −5.02380 | + | 8.00313i | −0.193942 | + | 0.308957i | ||||
\(672\) | 8.44631 | + | 14.6294i | 0.325824 | + | 0.564343i | ||||
\(673\) | 13.2225 | − | 5.88702i | 0.509688 | − | 0.226928i | −0.135746 | − | 0.990744i | \(-0.543343\pi\) |
0.645434 | + | 0.763816i | \(0.276676\pi\) | |||||||
\(674\) | 9.70814 | − | 8.74125i | 0.373944 | − | 0.336700i | ||||
\(675\) | 1.35193 | + | 4.16080i | 0.0520357 | + | 0.160149i | ||||
\(676\) | −20.6652 | + | 4.00937i | −0.794816 | + | 0.154206i | ||||
\(677\) | 19.5030 | − | 14.1697i | 0.749560 | − | 0.544587i | −0.146130 | − | 0.989265i | \(-0.546682\pi\) |
0.895691 | + | 0.444678i | \(0.146682\pi\) | |||||||
\(678\) | 1.51930 | − | 7.14775i | 0.0583484 | − | 0.274508i | ||||
\(679\) | −13.8842 | − | 15.4200i | −0.532828 | − | 0.591765i | ||||
\(680\) | −5.19905 | + | 49.4656i | −0.199374 | + | 1.89692i | ||||
\(681\) | 10.4394i | 0.400039i | ||||||||
\(682\) | −5.12206 | + | 13.9833i | −0.196134 | + | 0.535449i | ||||
\(683\) | −10.9242 | + | 6.30707i | −0.418002 | + | 0.241334i | −0.694222 | − | 0.719761i | \(-0.744251\pi\) |
0.276220 | + | 0.961094i | \(0.410918\pi\) | |||||||
\(684\) | 5.37960 | − | 7.40439i | 0.205694 | − | 0.283114i | ||||
\(685\) | −12.4250 | + | 2.64101i | −0.474734 | + | 0.100908i | ||||
\(686\) | −8.98387 | − | 1.90958i | −0.343006 | − | 0.0729081i | ||||
\(687\) | −6.48237 | + | 0.681324i | −0.247318 | + | 0.0259941i | ||||
\(688\) | 7.81967 | − | 5.68132i | 0.298122 | − | 0.216598i | ||||
\(689\) | 25.4712 | − | 18.1617i | 0.970377 | − | 0.691906i | ||||
\(690\) | 2.90283 | − | 8.93400i | 0.110509 | − | 0.340112i | ||||
\(691\) | −12.5013 | − | 28.0784i | −0.475572 | − | 1.06815i | −0.978953 | − | 0.204087i | \(-0.934577\pi\) |
0.503381 | − | 0.864064i | \(-0.332089\pi\) | |||||||
\(692\) | −0.407209 | + | 0.705306i | −0.0154797 | + | 0.0268117i | ||||
\(693\) | 5.56318 | + | 8.28441i | 0.211328 | + | 0.314699i | ||||
\(694\) | − | 16.6134i | − | 0.630636i | ||||||
\(695\) | 53.4209 | + | 5.61476i | 2.02637 | + | 0.212980i | ||||
\(696\) | −3.34161 | − | 15.7211i | −0.126664 | − | 0.595905i | ||||
\(697\) | −11.4330 | + | 3.71480i | −0.433055 | + | 0.140708i | ||||
\(698\) | 4.65918 | + | 2.07440i | 0.176353 | + | 0.0785173i | ||||
\(699\) | −0.440046 | − | 4.18676i | −0.0166441 | − | 0.158358i | ||||
\(700\) | 4.43160 | − | 20.8491i | 0.167499 | − | 0.788020i | ||||
\(701\) | −6.89207 | + | 21.2116i | −0.260310 | + | 0.801151i | 0.732427 | + | 0.680846i | \(0.238388\pi\) |
−0.992737 | + | 0.120306i | \(0.961612\pi\) | |||||||
\(702\) | −1.66648 | + | 1.47386i | −0.0628974 | + | 0.0556272i | ||||
\(703\) | −59.5667 | −2.24660 | ||||||||
\(704\) | 0.593195 | − | 0.611752i | 0.0223569 | − | 0.0230563i | ||||
\(705\) | 1.81066 | − | 3.13616i | 0.0681936 | − | 0.118115i | ||||
\(706\) | 1.70218 | − | 16.1951i | 0.0640623 | − | 0.609512i | ||||
\(707\) | −32.9150 | − | 10.6947i | −1.23790 | − | 0.402217i | ||||
\(708\) | 7.11964 | + | 6.41055i | 0.267572 | + | 0.240923i | ||||
\(709\) | 10.9587 | − | 24.6137i | 0.411563 | − | 0.924385i | −0.582218 | − | 0.813033i | \(-0.697815\pi\) |
0.993781 | − | 0.111353i | \(-0.0355183\pi\) | |||||||
\(710\) | 3.52250 | + | 4.84830i | 0.132197 | + | 0.181954i | ||||
\(711\) | −1.26618 | + | 1.40623i | −0.0474854 | + | 0.0527379i | ||||
\(712\) | −4.42864 | − | 4.91850i | −0.165970 | − | 0.184329i | ||||
\(713\) | 14.7167 | + | 33.0543i | 0.551146 | + | 1.23789i | ||||
\(714\) | 13.5044 | 0.505388 | ||||||||
\(715\) | 5.96258 | + | 36.1256i | 0.222988 | + | 1.35102i | ||||
\(716\) | −14.1414 | −0.528487 | ||||||||
\(717\) | −0.995751 | − | 2.23649i | −0.0371870 | − | 0.0835234i | ||||
\(718\) | 10.6001 | + | 11.7726i | 0.395593 | + | 0.439351i | ||||
\(719\) | 10.4020 | − | 11.5526i | 0.387930 | − | 0.430840i | −0.517272 | − | 0.855821i | \(-0.673052\pi\) |
0.905202 | + | 0.424981i | \(0.139719\pi\) | |||||||
\(720\) | −3.34854 | − | 4.60887i | −0.124793 | − | 0.171763i | ||||
\(721\) | −5.75826 | + | 12.9333i | −0.214449 | + | 0.481660i | ||||
\(722\) | −5.93647 | − | 5.34522i | −0.220933 | − | 0.198929i | ||||
\(723\) | −13.7175 | − | 4.45710i | −0.510161 | − | 0.165761i | ||||
\(724\) | 3.03218 | − | 28.8492i | 0.112690 | − | 1.07217i | ||||
\(725\) | −15.7431 | + | 27.2679i | −0.584685 | + | 1.01270i | ||||
\(726\) | −4.38413 | + | 5.18142i | −0.162710 | + | 0.192301i | ||||
\(727\) | 35.3641 | 1.31158 | 0.655791 | − | 0.754942i | \(-0.272335\pi\) | ||||
0.655791 | + | 0.754942i | \(0.272335\pi\) | |||||||
\(728\) | 23.7409 | − | 4.82580i | 0.879898 | − | 0.178856i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 3.38556 | − | 15.9278i | 0.125305 | − | 0.589514i | ||||
\(731\) | −3.94994 | − | 37.5811i | −0.146094 | − | 1.38999i | ||||
\(732\) | −4.21456 | − | 1.87644i | −0.155775 | − | 0.0693554i | ||||
\(733\) | −27.7712 | + | 9.02341i | −1.02575 | + | 0.333287i | −0.773110 | − | 0.634272i | \(-0.781300\pi\) |
−0.252643 | + | 0.967560i | \(0.581300\pi\) | |||||||
\(734\) | 2.54017 | + | 11.9506i | 0.0937595 | + | 0.441104i | ||||
\(735\) | −6.25082 | − | 0.656988i | −0.230565 | − | 0.0242334i | ||||
\(736\) | 27.9162i | 1.02901i | ||||||||
\(737\) | 20.5479 | − | 26.1891i | 0.756891 | − | 0.964686i | ||||
\(738\) | −0.509860 | + | 0.883103i | −0.0187682 | + | 0.0325075i | ||||
\(739\) | −10.3036 | − | 23.1423i | −0.379024 | − | 0.851301i | −0.997835 | − | 0.0657619i | \(-0.979052\pi\) |
0.618812 | − | 0.785539i | \(-0.287614\pi\) | |||||||
\(740\) | −16.1465 | + | 49.6939i | −0.593558 | + | 1.82678i | ||||
\(741\) | −11.8312 | − | 16.5929i | −0.434631 | − | 0.609557i | ||||
\(742\) | −13.0314 | + | 9.46789i | −0.478399 | + | 0.347577i | ||||
\(743\) | −7.70817 | + | 0.810162i | −0.282785 | + | 0.0297219i | −0.244859 | − | 0.969559i | \(-0.578742\pi\) |
−0.0379261 | + | 0.999281i | \(0.512075\pi\) | |||||||
\(744\) | −15.8957 | − | 3.37874i | −0.582765 | − | 0.123870i | ||||
\(745\) | −7.12936 | + | 1.51539i | −0.261200 | + | 0.0555197i | ||||
\(746\) | −7.66908 | + | 10.5556i | −0.280785 | + | 0.386467i | ||||
\(747\) | 0.366581 | − | 0.211646i | 0.0134125 | − | 0.00774371i | ||||
\(748\) | −10.6908 | − | 37.5743i | −0.390894 | − | 1.37385i | ||||
\(749\) | − | 37.8364i | − | 1.38251i | ||||||
\(750\) | −0.123440 | + | 1.17445i | −0.00450738 | + | 0.0428848i | ||||
\(751\) | −19.9082 | − | 22.1103i | −0.726461 | − | 0.806816i | 0.260890 | − | 0.965369i | \(-0.415984\pi\) |
−0.987351 | + | 0.158552i | \(0.949317\pi\) | |||||||
\(752\) | −0.457526 | + | 2.15249i | −0.0166843 | + | 0.0784933i | ||||
\(753\) | −10.9799 | + | 7.97737i | −0.400130 | + | 0.290711i | ||||
\(754\) | −15.9081 | − | 1.81533i | −0.579339 | − | 0.0661105i | ||||
\(755\) | −3.10923 | − | 9.56922i | −0.113156 | − | 0.348260i | ||||
\(756\) | −3.62063 | + | 3.26003i | −0.131681 | + | 0.118566i | ||||
\(757\) | −2.24236 | + | 0.998361i | −0.0814998 | + | 0.0362861i | −0.447082 | − | 0.894493i | \(-0.647537\pi\) |
0.365582 | + | 0.930779i | \(0.380870\pi\) | |||||||
\(758\) | −7.62186 | − | 13.2014i | −0.276838 | − | 0.479498i | ||||
\(759\) | 1.11656 | + | 16.4531i | 0.0405286 | + | 0.597211i | ||||
\(760\) | −33.4698 | + | 19.3238i | −1.21408 | + | 0.700947i | ||||
\(761\) | 6.53636 | + | 0.686999i | 0.236943 | + | 0.0249037i | 0.222256 | − | 0.974988i | \(-0.428658\pi\) |
0.0146872 | + | 0.999892i | \(0.495325\pi\) | |||||||
\(762\) | 5.10912 | + | 1.66005i | 0.185084 | + | 0.0601374i | ||||
\(763\) | −8.90881 | + | 9.89423i | −0.322521 | + | 0.358195i | ||||
\(764\) | −2.88811 | − | 27.4785i | −0.104488 | − | 0.994137i | ||||
\(765\) | −22.1501 | + | 2.32807i | −0.800840 | + | 0.0841716i | ||||
\(766\) | 0.181640 | + | 0.559030i | 0.00656292 | + | 0.0201986i | ||||
\(767\) | 18.5684 | − | 10.5012i | 0.670468 | − | 0.379177i | ||||
\(768\) | −5.26874 | − | 3.82796i | −0.190119 | − | 0.138130i | ||||
\(769\) | −41.0301 | − | 23.6888i | −1.47958 | − | 0.854238i | −0.479852 | − | 0.877350i | \(-0.659309\pi\) |
−0.999733 | + | 0.0231112i | \(0.992643\pi\) | |||||||
\(770\) | −3.23562 | − | 18.5731i | −0.116604 | − | 0.669328i | ||||
\(771\) | 13.9796 | + | 24.2134i | 0.503463 | + | 0.872024i | ||||
\(772\) | 16.7460 | − | 23.0489i | 0.602703 | − | 0.829550i | ||||
\(773\) | 3.91578 | + | 18.4223i | 0.140841 | + | 0.662605i | 0.990753 | + | 0.135680i | \(0.0433218\pi\) |
−0.849912 | + | 0.526925i | \(0.823345\pi\) | |||||||
\(774\) | −2.38208 | − | 2.14484i | −0.0856222 | − | 0.0770946i | ||||
\(775\) | 18.7127 | + | 25.7559i | 0.672182 | + | 0.925179i | ||||
\(776\) | 14.0695 | + | 6.26413i | 0.505064 | + | 0.224869i | ||||
\(777\) | 31.0161 | + | 6.59268i | 1.11270 | + | 0.236511i | ||||
\(778\) | 1.21586 | − | 1.09476i | 0.0435907 | − | 0.0392492i | ||||
\(779\) | −7.55690 | − | 5.49041i | −0.270754 | − | 0.196714i | ||||
\(780\) | −17.0498 | + | 5.37249i | −0.610481 | + | 0.192366i | ||||
\(781\) | −8.91047 | − | 5.59336i | −0.318842 | − | 0.200146i | ||||
\(782\) | 19.3270 | + | 11.1584i | 0.691132 | + | 0.399025i | ||||
\(783\) | 6.57477 | − | 2.92727i | 0.234963 | − | 0.104612i | ||||
\(784\) | 3.73591 | − | 0.794092i | 0.133425 | − | 0.0283604i | ||||
\(785\) | 39.5778 | − | 12.8596i | 1.41259 | − | 0.458980i | ||||
\(786\) | 0.0700571 | − | 0.157351i | 0.00249885 | − | 0.00561252i | ||||
\(787\) | 5.43813 | − | 12.2143i | 0.193849 | − | 0.435391i | −0.790304 | − | 0.612715i | \(-0.790077\pi\) |
0.984153 | + | 0.177324i | \(0.0567440\pi\) | |||||||
\(788\) | −31.8525 | + | 10.3495i | −1.13470 | + | 0.368685i | ||||
\(789\) | 8.67517 | − | 1.84396i | 0.308844 | − | 0.0656469i | ||||
\(790\) | 3.26591 | − | 1.45408i | 0.116196 | − | 0.0517337i | ||||
\(791\) | −30.8589 | − | 17.8164i | −1.09722 | − | 0.633478i | ||||
\(792\) | −6.27315 | − | 3.93784i | −0.222907 | − | 0.139925i | ||||
\(793\) | −6.94129 | + | 7.57241i | −0.246492 | + | 0.268904i | ||||
\(794\) | −12.9200 | − | 9.38690i | −0.458512 | − | 0.333129i | ||||
\(795\) | 19.7422 | − | 17.7760i | 0.700183 | − | 0.630448i | ||||
\(796\) | 34.4166 | + | 7.31547i | 1.21986 | + | 0.259290i | ||||
\(797\) | 23.0387 | + | 10.2575i | 0.816071 | + | 0.363338i | 0.771946 | − | 0.635688i | \(-0.219283\pi\) |
0.0441247 | + | 0.999026i | \(0.485950\pi\) | |||||||
\(798\) | 6.16774 | + | 8.48916i | 0.218336 | + | 0.300513i | ||||
\(799\) | 6.39345 | + | 5.75669i | 0.226184 | + | 0.203657i | ||||
\(800\) | 5.10689 | + | 24.0260i | 0.180556 | + | 0.849448i | ||||
\(801\) | 1.74201 | − | 2.39767i | 0.0615509 | − | 0.0847176i | ||||
\(802\) | −4.29312 | − | 7.43589i | −0.151595 | − | 0.262571i | ||||
\(803\) | 4.90612 | + | 28.1621i | 0.173133 | + | 0.993820i | ||||
\(804\) | 14.0748 | + | 8.12606i | 0.496378 | + | 0.286584i | ||||
\(805\) | −37.0580 | − | 26.9242i | −1.30612 | − | 0.948954i | ||||
\(806\) | −8.21909 | + | 13.9476i | −0.289505 | + | 0.491285i | ||||
\(807\) | −9.80339 | − | 30.1717i | −0.345096 | − | 1.06210i | ||||
\(808\) | 25.5470 | − | 2.68509i | 0.898739 | − | 0.0944613i | ||||
\(809\) | −0.721098 | − | 6.86079i | −0.0253525 | − | 0.241213i | −0.999858 | − | 0.0168493i | \(-0.994636\pi\) |
0.974506 | − | 0.224363i | \(-0.0720302\pi\) | |||||||
\(810\) | −1.26416 | + | 1.40399i | −0.0444179 | + | 0.0493311i | ||||
\(811\) | 29.1652 | + | 9.47635i | 1.02413 | + | 0.332760i | 0.772467 | − | 0.635055i | \(-0.219023\pi\) |
0.251663 | + | 0.967815i | \(0.419023\pi\) | |||||||
\(812\) | −34.8719 | − | 3.66518i | −1.22376 | − | 0.128623i | ||||
\(813\) | 25.1675 | − | 14.5304i | 0.882662 | − | 0.509605i | ||||
\(814\) | 1.46026 | + | 21.5177i | 0.0511821 | + | 0.754197i | ||||
\(815\) | −16.2723 | − | 28.1845i | −0.569995 | − | 0.987261i | ||||
\(816\) | 12.3641 | − | 5.50484i | 0.432829 | − | 0.192708i | ||||
\(817\) | 21.8204 | − | 19.6471i | 0.763398 | − | 0.687367i | ||||
\(818\) | 3.89761 | + | 11.9956i | 0.136277 | + | 0.419417i | ||||
\(819\) | 4.32400 | + | 9.94932i | 0.151093 | + | 0.347657i | ||||
\(820\) | −6.62884 | + | 4.81613i | −0.231489 | + | 0.168187i | ||||
\(821\) | −8.57618 | + | 40.3478i | −0.299311 | + | 1.40815i | 0.529354 | + | 0.848401i | \(0.322434\pi\) |
−0.828665 | + | 0.559745i | \(0.810899\pi\) | |||||||
\(822\) | −1.71287 | − | 1.90233i | −0.0597432 | − | 0.0663515i | ||||
\(823\) | −1.21288 | + | 11.5398i | −0.0422782 | + | 0.402251i | 0.952833 | + | 0.303494i | \(0.0981532\pi\) |
−0.995112 | + | 0.0987567i | \(0.968513\pi\) | |||||||
\(824\) | − | 10.5079i | − | 0.366059i | ||||||
\(825\) | 3.97084 | + | 13.9561i | 0.138247 | + | 0.485889i | ||||
\(826\) | −9.51242 | + | 5.49200i | −0.330979 | + | 0.191091i | ||||
\(827\) | 14.6992 | − | 20.2317i | 0.511140 | − | 0.703524i | −0.472971 | − | 0.881078i | \(-0.656818\pi\) |
0.984111 | + | 0.177554i | \(0.0568184\pi\) | |||||||
\(828\) | −7.87544 | + | 1.67398i | −0.273690 | + | 0.0581747i | ||||
\(829\) | 38.8533 | + | 8.25852i | 1.34943 | + | 0.286830i | 0.825245 | − | 0.564774i | \(-0.191037\pi\) |
0.524185 | + | 0.851605i | \(0.324370\pi\) | |||||||
\(830\) | −0.795323 | + | 0.0835918i | −0.0276060 | + | 0.00290151i | ||||
\(831\) | −0.380031 | + | 0.276109i | −0.0131831 | + | 0.00957811i | ||||
\(832\) | 0.754258 | − | 0.537807i | 0.0261492 | − | 0.0186451i | ||||
\(833\) | 4.61423 | − | 14.2011i | 0.159874 | − | 0.492040i | ||||
\(834\) | 4.40283 | + | 9.88892i | 0.152458 | + | 0.342425i | ||||
\(835\) | 27.4717 | − | 47.5823i | 0.950697 | − | 1.64666i | ||||
\(836\) | 18.7374 | − | 23.8815i | 0.648046 | − | 0.825959i | ||||
\(837\) | − | 7.27693i | − | 0.251527i | ||||||
\(838\) | 7.97676 | + | 0.838391i | 0.275553 | + | 0.0289617i | ||||
\(839\) | 4.83825 | + | 22.7622i | 0.167035 | + | 0.785837i | 0.979278 | + | 0.202519i | \(0.0649127\pi\) |
−0.812244 | + | 0.583318i | \(0.801754\pi\) | |||||||
\(840\) | 19.5663 | − | 6.35747i | 0.675101 | − | 0.219354i | ||||
\(841\) | 20.8256 | + | 9.27217i | 0.718125 | + | 0.319730i | ||||
\(842\) | −0.776924 | − | 7.39193i | −0.0267746 | − | 0.254743i | ||||
\(843\) | −1.80556 | + | 8.49450i | −0.0621869 | + | 0.292566i | ||||
\(844\) | −3.75428 | + | 11.5545i | −0.129228 | + | 0.397722i | ||||
\(845\) | −0.708679 | + | 39.7977i | −0.0243793 | + | 1.36908i | ||||
\(846\) | 0.729776 | 0.0250902 | ||||||||
\(847\) | 17.4231 | + | 28.1393i | 0.598664 | + | 0.966878i | ||||
\(848\) | −8.07163 | + | 13.9805i | −0.277181 | + | 0.480091i | ||||
\(849\) | −1.30326 | + | 12.3997i | −0.0447279 | + | 0.425557i | ||||
\(850\) | 18.6750 | + | 6.06788i | 0.640548 | + | 0.208127i | ||||
\(851\) | 38.9418 | + | 35.0633i | 1.33491 | + | 1.20196i | ||||
\(852\) | 2.08918 | − | 4.69238i | 0.0715742 | − | 0.160758i | ||||
\(853\) | 2.19108 | + | 3.01577i | 0.0750212 | + | 0.103258i | 0.844879 | − | 0.534958i | \(-0.179673\pi\) |
−0.769857 | + | 0.638216i | \(0.779673\pi\) | |||||||
\(854\) | 3.53923 | − | 3.93071i | 0.121110 | − | 0.134506i | ||||
\(855\) | −11.5799 | − | 12.8608i | −0.396025 | − | 0.439830i | ||||
\(856\) | 11.4225 | + | 25.6553i | 0.390412 | + | 0.876879i | ||||
\(857\) | 20.9202 | 0.714620 | 0.357310 | − | 0.933986i | \(-0.383694\pi\) | ||||
0.357310 | + | 0.933986i | \(0.383694\pi\) | |||||||
\(858\) | −5.70396 | + | 4.68066i | −0.194730 | + | 0.159795i | ||||
\(859\) | 19.5871 | 0.668302 | 0.334151 | − | 0.942519i | \(-0.391550\pi\) | ||||
0.334151 | + | 0.942519i | \(0.391550\pi\) | |||||||
\(860\) | −10.4760 | − | 23.5295i | −0.357229 | − | 0.802349i | ||||
\(861\) | 3.32718 | + | 3.69521i | 0.113390 | + | 0.125932i | ||||
\(862\) | −13.3609 | + | 14.8388i | −0.455076 | + | 0.505413i | ||||
\(863\) | 10.2415 | + | 14.0962i | 0.348625 | + | 0.479842i | 0.946936 | − | 0.321423i | \(-0.104161\pi\) |
−0.598310 | + | 0.801264i | \(0.704161\pi\) | |||||||
\(864\) | 2.28360 | − | 5.12905i | 0.0776896 | − | 0.174494i | ||||
\(865\) | 1.14442 | + | 1.03044i | 0.0389113 | + | 0.0350359i | ||||
\(866\) | 19.2505 | + | 6.25487i | 0.654159 | + | 0.212549i | ||||
\(867\) | 3.75385 | − | 35.7155i | 0.127487 | − | 1.21296i | ||||
\(868\) | −17.7267 | + | 30.7036i | −0.601685 | + | 1.04215i | ||||
\(869\) | −4.36892 | + | 4.50559i | −0.148205 | + | 0.152842i | ||||
\(870\) | −13.5969 | −0.460978 | ||||||||
\(871\) | 27.1072 | − | 23.9739i | 0.918493 | − | 0.812326i | ||||
\(872\) | 3.05371 | − | 9.39835i | 0.103412 | − | 0.318268i | ||||
\(873\) | −1.43383 | + | 6.74566i | −0.0485279 | + | 0.228306i | ||||
\(874\) | 1.81260 | + | 17.2457i | 0.0613120 | + | 0.583345i | ||||
\(875\) | 5.26060 | + | 2.34217i | 0.177841 | + | 0.0791797i | ||||
\(876\) | −13.2736 | + | 4.31285i | −0.448473 | + | 0.145718i | ||||
\(877\) | −8.18490 | − | 38.5069i | −0.276385 | − | 1.30029i | −0.869004 | − | 0.494805i | \(-0.835240\pi\) |
0.592620 | − | 0.805482i | \(-0.298094\pi\) | |||||||
\(878\) | −11.4559 | − | 1.20406i | −0.386617 | − | 0.0406350i | ||||
\(879\) | 9.59740i | 0.323712i | ||||||||
\(880\) | −10.5334 | − | 15.6858i | −0.355082 | − | 0.528770i | ||||
\(881\) | −5.65346 | + | 9.79208i | −0.190470 | + | 0.329904i | −0.945406 | − | 0.325895i | \(-0.894335\pi\) |
0.754936 | + | 0.655798i | \(0.227668\pi\) | |||||||
\(882\) | −0.515179 | − | 1.15711i | −0.0173470 | − | 0.0389619i | ||||
\(883\) | −1.66215 | + | 5.11558i | −0.0559359 | + | 0.172153i | −0.975121 | − | 0.221672i | \(-0.928848\pi\) |
0.919185 | + | 0.393825i | \(0.128848\pi\) | |||||||
\(884\) | −4.06302 | − | 42.2740i | −0.136654 | − | 1.42183i | ||||
\(885\) | 14.6557 | − | 10.6480i | 0.492645 | − | 0.357927i | ||||
\(886\) | 10.6155 | − | 1.11573i | 0.356633 | − | 0.0374836i | ||||
\(887\) | 8.85741 | + | 1.88270i | 0.297403 | + | 0.0632149i | 0.354197 | − | 0.935171i | \(-0.384754\pi\) |
−0.0567937 | + | 0.998386i | \(0.518088\pi\) | |||||||
\(888\) | −23.0210 | + | 4.89326i | −0.772534 | + | 0.164207i | ||||
\(889\) | 15.3972 | − | 21.1925i | 0.516407 | − | 0.710773i | ||||
\(890\) | −4.84900 | + | 2.79957i | −0.162539 | + | 0.0938419i | ||||
\(891\) | 1.14075 | − | 3.11427i | 0.0382166 | − | 0.104332i | ||||
\(892\) | 34.2499i | 1.14677i | ||||||||
\(893\) | −0.698762 | + | 6.64828i | −0.0233832 | + | 0.222476i | ||||
\(894\) | −0.982832 | − | 1.09155i | −0.0328708 | − | 0.0365067i | ||||
\(895\) | −5.55947 | + | 26.1552i | −0.185833 | + | 0.874273i | ||||
\(896\) | −27.7187 | + | 20.1388i | −0.926018 | + | 0.672791i | ||||
\(897\) | −2.03259 | + | 17.8120i | −0.0678663 | + | 0.594724i | ||||
\(898\) | 2.45352 | + | 7.55116i | 0.0818751 | + | 0.251986i | ||||
\(899\) | 38.9199 | − | 35.0436i | 1.29805 | − | 1.16877i | ||||
\(900\) | −6.47175 | + | 2.88141i | −0.215725 | + | 0.0960469i | ||||
\(901\) | 31.5563 | + | 54.6571i | 1.05129 | + | 1.82089i | ||||
\(902\) | −1.79809 | + | 2.86444i | −0.0598698 | + | 0.0953753i | ||||
\(903\) | −13.5363 | + | 7.81517i | −0.450459 | + | 0.260072i | ||||
\(904\) | 26.3027 | + | 2.76453i | 0.874816 | + | 0.0919468i | ||||
\(905\) | −52.1662 | − | 16.9498i | −1.73406 | − | 0.563432i | ||||
\(906\) | 1.35676 | − | 1.50683i | 0.0450753 | − | 0.0500612i | ||||
\(907\) | −3.15223 | − | 29.9914i | −0.104668 | − | 0.995849i | −0.913232 | − | 0.407440i | \(-0.866421\pi\) |
0.808564 | − | 0.588408i | \(-0.200245\pi\) | |||||||
\(908\) | −16.8117 | + | 1.76698i | −0.557915 | + | 0.0586392i | ||||
\(909\) | 3.55451 | + | 10.9397i | 0.117896 | + | 0.362846i | ||||
\(910\) | 0.182458 | − | 20.4944i | 0.00604841 | − | 0.679382i | ||||
\(911\) | −28.3174 | − | 20.5738i | −0.938197 | − | 0.681640i | 0.00978926 | − | 0.999952i | \(-0.496884\pi\) |
−0.947986 | + | 0.318312i | \(0.896884\pi\) | |||||||
\(912\) | 9.10741 | + | 5.25816i | 0.301576 | + | 0.174115i | ||||
\(913\) | 1.24092 | − | 0.656543i | 0.0410684 | − | 0.0217284i | ||||
\(914\) | 9.10780 | + | 15.7752i | 0.301259 | + | 0.521796i | ||||
\(915\) | −5.12748 | + | 7.05738i | −0.169509 | + | 0.233310i | ||||
\(916\) | −2.19441 | − | 10.3239i | −0.0725055 | − | 0.341112i | ||||
\(917\) | −0.624162 | − | 0.561998i | −0.0206116 | − | 0.0185588i | ||||
\(918\) | −2.63817 | − | 3.63113i | −0.0870725 | − | 0.119845i | ||||
\(919\) | −7.85767 | − | 3.49846i | −0.259201 | − | 0.115404i | 0.273023 | − | 0.962008i | \(-0.411977\pi\) |
−0.532223 | + | 0.846604i | \(0.678643\pi\) | |||||||
\(920\) | 33.2557 | + | 7.06871i | 1.09641 | + | 0.233048i | ||||
\(921\) | −11.8686 | + | 10.6865i | −0.391083 | + | 0.352133i | ||||
\(922\) | 3.30276 | + | 2.39960i | 0.108771 | + | 0.0790266i | ||||
\(923\) | −8.43092 | − | 7.72824i | −0.277507 | − | 0.254378i | ||||
\(924\) | −12.3996 | + | 10.3612i | −0.407918 | + | 0.340858i | ||||
\(925\) | 39.9295 | + | 23.0533i | 1.31287 | + | 0.757988i | ||||
\(926\) | −22.4706 | + | 10.0045i | −0.738428 | + | 0.328770i | ||||
\(927\) | 4.60248 | − | 0.978288i | 0.151165 | − | 0.0321312i | ||||
\(928\) | 38.4294 | − | 12.4865i | 1.26151 | − | 0.409888i | ||||
\(929\) | 0.377129 | − | 0.847047i | 0.0123732 | − | 0.0277907i | −0.907253 | − | 0.420585i | \(-0.861825\pi\) |
0.919626 | + | 0.392794i | \(0.128492\pi\) | |||||||
\(930\) | −5.59179 | + | 12.5594i | −0.183362 | + | 0.411838i | ||||
\(931\) | 11.0346 | − | 3.58535i | 0.361644 | − | 0.117505i | ||||
\(932\) | 6.66790 | − | 1.41731i | 0.218414 | − | 0.0464254i | ||||
\(933\) | −4.86290 | + | 2.16510i | −0.159204 | + | 0.0708823i | ||||
\(934\) | 1.57899 | + | 0.911631i | 0.0516662 | + | 0.0298295i | ||||
\(935\) | −73.6988 | + | 5.00143i | −2.41021 | + | 0.163564i | ||||
\(936\) | −5.93554 | − | 5.44084i | −0.194009 | − | 0.177839i | ||||
\(937\) | 2.15226 | + | 1.56371i | 0.0703112 | + | 0.0510841i | 0.622386 | − | 0.782711i | \(-0.286164\pi\) |
−0.552074 | + | 0.833795i | \(0.686164\pi\) | |||||||
\(938\) | −13.8471 | + | 12.4680i | −0.452125 | + | 0.407095i | ||||
\(939\) | 13.4087 | + | 2.85010i | 0.437575 | + | 0.0930095i | ||||
\(940\) | 5.35696 | + | 2.38507i | 0.174725 | + | 0.0777925i | ||||
\(941\) | 12.1430 | + | 16.7134i | 0.395851 | + | 0.544842i | 0.959697 | − | 0.281038i | \(-0.0906786\pi\) |
−0.563845 | + | 0.825880i | \(0.690679\pi\) | |||||||
\(942\) | 6.23220 | + | 5.61149i | 0.203056 | + | 0.182832i | ||||
\(943\) | 1.70846 | + | 8.03766i | 0.0556350 | + | 0.261742i | ||||
\(944\) | −6.47047 | + | 8.90583i | −0.210596 | + | 0.289860i | ||||
\(945\) | 4.60622 | + | 7.97820i | 0.149840 | + | 0.259531i | ||||
\(946\) | −7.63222 | − | 7.40070i | −0.248145 | − | 0.240618i | ||||
\(947\) | 43.0981 | + | 24.8827i | 1.40050 | + | 0.808579i | 0.994444 | − | 0.105269i | \(-0.0335704\pi\) |
0.406056 | + | 0.913848i | \(0.366904\pi\) | |||||||
\(948\) | −2.47892 | − | 1.80104i | −0.0805116 | − | 0.0584951i | ||||
\(949\) | −0.276658 | + | 31.0753i | −0.00898069 | + | 1.00875i | ||||
\(950\) | 4.71487 | + | 14.5109i | 0.152971 | + | 0.470795i | ||||
\(951\) | −20.1570 | + | 2.11858i | −0.653635 | + | 0.0686998i | ||||
\(952\) | 5.10894 | + | 48.6083i | 0.165582 | + | 1.57540i | ||||
\(953\) | −5.62841 | + | 6.25098i | −0.182322 | + | 0.202489i | −0.827377 | − | 0.561647i | \(-0.810168\pi\) |
0.645055 | + | 0.764136i | \(0.276835\pi\) | |||||||
\(954\) | 5.09155 | + | 1.65435i | 0.164845 | + | 0.0535614i | ||||
\(955\) | −51.9585 | − | 5.46106i | −1.68134 | − | 0.176716i | ||||
\(956\) | 3.43312 | − | 1.98211i | 0.111035 | − | 0.0641061i | ||||
\(957\) | 22.1499 | − | 8.89626i | 0.716004 | − | 0.287575i | ||||
\(958\) | −0.471836 | − | 0.817244i | −0.0152443 | − | 0.0264040i | ||||
\(959\) | −11.4032 | + | 5.07705i | −0.368230 | + | 0.163946i | ||||
\(960\) | 0.584609 | − | 0.526384i | 0.0188682 | − | 0.0169890i | ||||
\(961\) | −6.78405 | − | 20.8792i | −0.218840 | − | 0.673521i | ||||
\(962\) | −2.65827 | + | 23.2949i | −0.0857060 | + | 0.751057i | ||||
\(963\) | −10.1736 | + | 7.39159i | −0.327841 | + | 0.238191i | ||||
\(964\) | 4.85590 | − | 22.8452i | 0.156398 | − | 0.735795i | ||||
\(965\) | −36.0469 | − | 40.0341i | −1.16039 | − | 1.28874i | ||||
\(966\) | 0.964896 | − | 9.18038i | 0.0310450 | − | 0.295374i | ||||
\(967\) | − | 4.83222i | − | 0.155394i | −0.996977 | − | 0.0776969i | \(-0.975243\pi\) | ||
0.996977 | − | 0.0776969i | \(-0.0247567\pi\) | |||||||
\(968\) | −20.3089 | − | 13.8202i | −0.652751 | − | 0.444199i | ||||
\(969\) | 35.6057 | − | 20.5570i | 1.14382 | − | 0.660385i | ||||
\(970\) | 7.65823 | − | 10.5407i | 0.245891 | − | 0.338440i | ||||
\(971\) | 1.90691 | − | 0.405326i | 0.0611957 | − | 0.0130075i | −0.177212 | − | 0.984173i | \(-0.556708\pi\) |
0.238408 | + | 0.971165i | \(0.423375\pi\) | |||||||
\(972\) | 1.58389 | + | 0.336666i | 0.0508033 | + | 0.0107986i | ||||
\(973\) | 52.4950 | − | 5.51745i | 1.68291 | − | 0.176881i | ||||
\(974\) | 2.56410 | − | 1.86293i | 0.0821590 | − | 0.0596920i | ||||
\(975\) | 1.50911 | + | 15.7017i | 0.0483302 | + | 0.502856i | ||||
\(976\) | 1.63809 | − | 5.04152i | 0.0524339 | − | 0.161375i | ||||
\(977\) | 12.5681 | + | 28.2285i | 0.402090 | + | 0.903110i | 0.995188 | + | 0.0979797i | \(0.0312380\pi\) |
−0.593098 | + | 0.805130i | \(0.702095\pi\) | |||||||
\(978\) | 3.27923 | − | 5.67979i | 0.104858 | − | 0.181620i | ||||
\(979\) | 6.06750 | − | 7.73325i | 0.193918 | − | 0.247156i | ||||
\(980\) | − | 10.1776i | − | 0.325110i | ||||||
\(981\) | 4.40081 | + | 0.462544i | 0.140507 | + | 0.0147679i | ||||
\(982\) | −2.36425 | − | 11.1229i | −0.0754464 | − | 0.354947i | ||||
\(983\) | 56.9416 | − | 18.5015i | 1.81616 | − | 0.590105i | 0.816233 | − | 0.577723i | \(-0.196059\pi\) |
0.999923 | − | 0.0123817i | \(-0.00394133\pi\) | |||||||
\(984\) | −3.37157 | − | 1.50112i | −0.107482 | − | 0.0478540i | ||||
\(985\) | 6.61964 | + | 62.9817i | 0.210919 | + | 2.00676i | ||||
\(986\) | 6.71603 | − | 31.5964i | 0.213882 | − | 1.00624i | ||||
\(987\) | 1.09966 | − | 3.38439i | 0.0350024 | − | 0.107726i | ||||
\(988\) | 24.7188 | − | 21.8616i | 0.786409 | − | 0.695509i | ||||
\(989\) | −25.8302 | −0.821352 | ||||||||
\(990\) | −4.36193 | + | 4.49839i | −0.138631 | + | 0.142968i | ||||
\(991\) | 8.14686 | − | 14.1108i | 0.258794 | − | 0.448244i | −0.707125 | − | 0.707088i | \(-0.750008\pi\) |
0.965919 | + | 0.258844i | \(0.0833417\pi\) | |||||||
\(992\) | 4.27060 | − | 40.6321i | 0.135592 | − | 1.29007i | ||||
\(993\) | 5.26609 | + | 1.71106i | 0.167114 | + | 0.0542987i | ||||
\(994\) | 4.37635 | + | 3.94048i | 0.138809 | + | 0.124985i | ||||
\(995\) | 27.0607 | − | 60.7794i | 0.857883 | − | 1.92684i | ||||
\(996\) | 0.402883 | + | 0.554520i | 0.0127658 | + | 0.0175706i | ||||
\(997\) | −30.7312 | + | 34.1304i | −0.973266 | + | 1.08092i | 0.0234324 | + | 0.999725i | \(0.492541\pi\) |
−0.996698 | + | 0.0811957i | \(0.974126\pi\) | |||||||
\(998\) | −5.84524 | − | 6.49180i | −0.185028 | − | 0.205494i | ||||
\(999\) | −4.28653 | − | 9.62770i | −0.135620 | − | 0.304607i |
(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 | 429.2.bn.a.4.8 | ✓ | 112 | |
11.3 | even | 5 | inner | 429.2.bn.a.355.8 | yes | 112 | |
13.10 | even | 6 | inner | 429.2.bn.a.400.8 | yes | 112 | |
143.36 | even | 30 | inner | 429.2.bn.a.322.8 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bn.a.4.8 | ✓ | 112 | 1.1 | even | 1 | trivial | |
429.2.bn.a.322.8 | yes | 112 | 143.36 | even | 30 | inner | |
429.2.bn.a.355.8 | yes | 112 | 11.3 | even | 5 | inner | |
429.2.bn.a.400.8 | yes | 112 | 13.10 | even | 6 | inner |