Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(59,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 315.59 |
Dual form | 315.2.u.a.299.15 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.601450 | + | 1.04174i | −0.425289 | + | 0.736622i | −0.996447 | − | 0.0842176i | \(-0.973161\pi\) |
0.571158 | + | 0.820840i | \(0.306494\pi\) | |||||||
\(3\) | 0.375988 | − | 1.69075i | 0.217077 | − | 0.976155i | ||||
\(4\) | 0.276517 | + | 0.478941i | 0.138258 | + | 0.239470i | ||||
\(5\) | 1.70560 | + | 1.44600i | 0.762768 | + | 0.646673i | ||||
\(6\) | 1.53519 | + | 1.40858i | 0.626737 | + | 0.575051i | ||||
\(7\) | −0.552728 | + | 2.58737i | −0.208911 | + | 0.977935i | ||||
\(8\) | −3.07104 | −1.08578 | ||||||||
\(9\) | −2.71727 | − | 1.27140i | −0.905755 | − | 0.423801i | ||||
\(10\) | −2.53219 | + | 0.907096i | −0.800750 | + | 0.286849i | ||||
\(11\) | 4.84953i | 1.46219i | 0.682277 | + | 0.731094i | \(0.260990\pi\) | ||||
−0.682277 | + | 0.731094i | \(0.739010\pi\) | |||||||
\(12\) | 0.913736 | − | 0.287444i | 0.263773 | − | 0.0829780i | ||||
\(13\) | 0.669156 | − | 1.15901i | 0.185590 | − | 0.321452i | −0.758185 | − | 0.652040i | \(-0.773914\pi\) |
0.943775 | + | 0.330588i | \(0.107247\pi\) | |||||||
\(14\) | −2.36293 | − | 2.13197i | −0.631521 | − | 0.569794i | ||||
\(15\) | 3.08612 | − | 2.34006i | 0.796831 | − | 0.604202i | ||||
\(16\) | 1.29404 | − | 2.24135i | 0.323511 | − | 0.560337i | ||||
\(17\) | 0.153866 | + | 0.0888348i | 0.0373181 | + | 0.0215456i | 0.518543 | − | 0.855052i | \(-0.326475\pi\) |
−0.481225 | + | 0.876597i | \(0.659808\pi\) | |||||||
\(18\) | 2.95877 | − | 2.06600i | 0.697389 | − | 0.486962i | ||||
\(19\) | 4.78531 | − | 2.76280i | 1.09783 | − | 0.633830i | 0.162177 | − | 0.986762i | \(-0.448148\pi\) |
0.935649 | + | 0.352931i | \(0.114815\pi\) | |||||||
\(20\) | −0.220924 | + | 1.21673i | −0.0494000 | + | 0.272068i | ||||
\(21\) | 4.16678 | + | 1.90734i | 0.909266 | + | 0.416217i | ||||
\(22\) | −5.05196 | − | 2.91675i | −1.07708 | − | 0.621853i | ||||
\(23\) | 0.826816 | 0.172403 | 0.0862016 | − | 0.996278i | \(-0.472527\pi\) | ||||
0.0862016 | + | 0.996278i | \(0.472527\pi\) | |||||||
\(24\) | −1.15467 | + | 5.19236i | −0.235697 | + | 1.05989i | ||||
\(25\) | 0.818145 | + | 4.93261i | 0.163629 | + | 0.986522i | ||||
\(26\) | 0.804927 | + | 1.39417i | 0.157859 | + | 0.273420i | ||||
\(27\) | −3.17128 | + | 4.11618i | −0.610313 | + | 0.792160i | ||||
\(28\) | −1.39204 | + | 0.450727i | −0.263070 | + | 0.0851795i | ||||
\(29\) | −6.88138 | + | 3.97297i | −1.27784 | + | 0.737762i | −0.976451 | − | 0.215739i | \(-0.930784\pi\) |
−0.301390 | + | 0.953501i | \(0.597451\pi\) | |||||||
\(30\) | 0.581597 | + | 4.62236i | 0.106185 | + | 0.843924i | ||||
\(31\) | 3.73111 | − | 2.15416i | 0.670128 | − | 0.386899i | −0.125997 | − | 0.992031i | \(-0.540213\pi\) |
0.796125 | + | 0.605132i | \(0.206880\pi\) | |||||||
\(32\) | −1.51444 | − | 2.62308i | −0.267717 | − | 0.463700i | ||||
\(33\) | 8.19934 | + | 1.82336i | 1.42732 | + | 0.317407i | ||||
\(34\) | −0.185086 | + | 0.106859i | −0.0317419 | + | 0.0183262i | ||||
\(35\) | −4.68408 | + | 3.61378i | −0.791754 | + | 0.610840i | ||||
\(36\) | −0.142443 | − | 1.65297i | −0.0237405 | − | 0.275496i | ||||
\(37\) | 7.14549 | − | 4.12545i | 1.17471 | − | 0.678220i | 0.219926 | − | 0.975517i | \(-0.429418\pi\) |
0.954785 | + | 0.297297i | \(0.0960851\pi\) | |||||||
\(38\) | 6.64675i | 1.07824i | ||||||||
\(39\) | −1.70800 | − | 1.56715i | −0.273499 | − | 0.250945i | ||||
\(40\) | −5.23797 | − | 4.44074i | −0.828196 | − | 0.702142i | ||||
\(41\) | 0.278013 | − | 0.481532i | 0.0434183 | − | 0.0752027i | −0.843500 | − | 0.537130i | \(-0.819509\pi\) |
0.886918 | + | 0.461927i | \(0.152842\pi\) | |||||||
\(42\) | −4.49307 | + | 3.19353i | −0.693295 | + | 0.492773i | ||||
\(43\) | 4.31274 | − | 2.48996i | 0.657686 | − | 0.379715i | −0.133709 | − | 0.991021i | \(-0.542689\pi\) |
0.791395 | + | 0.611305i | \(0.209355\pi\) | |||||||
\(44\) | −2.32264 | + | 1.34098i | −0.350151 | + | 0.202160i | ||||
\(45\) | −2.79612 | − | 6.09768i | −0.416821 | − | 0.908989i | ||||
\(46\) | −0.497288 | + | 0.861329i | −0.0733212 | + | 0.126996i | ||||
\(47\) | 6.86068 | + | 3.96102i | 1.00073 | + | 0.577774i | 0.908465 | − | 0.417960i | \(-0.137255\pi\) |
0.0922684 | + | 0.995734i | \(0.470588\pi\) | |||||||
\(48\) | −3.30302 | − | 3.03062i | −0.476749 | − | 0.437433i | ||||
\(49\) | −6.38898 | − | 2.86022i | −0.912712 | − | 0.408603i | ||||
\(50\) | −5.63058 | − | 2.11442i | −0.796284 | − | 0.299024i | ||||
\(51\) | 0.208049 | − | 0.226749i | 0.0291327 | − | 0.0317512i | ||||
\(52\) | 0.740130 | 0.102638 | ||||||||
\(53\) | 2.12855 | − | 3.68675i | 0.292378 | − | 0.506414i | −0.681993 | − | 0.731359i | \(-0.738887\pi\) |
0.974372 | + | 0.224944i | \(0.0722200\pi\) | |||||||
\(54\) | −2.38063 | − | 5.77933i | −0.323963 | − | 0.786468i | ||||
\(55\) | −7.01244 | + | 8.27136i | −0.945557 | + | 1.11531i | ||||
\(56\) | 1.69745 | − | 7.94593i | 0.226831 | − | 1.06182i | ||||
\(57\) | −2.87199 | − | 9.12955i | −0.380404 | − | 1.20924i | ||||
\(58\) | − | 9.55816i | − | 1.25505i | ||||||
\(59\) | −1.12039 | − | 1.94058i | −0.145863 | − | 0.252641i | 0.783832 | − | 0.620973i | \(-0.213262\pi\) |
−0.929694 | + | 0.368332i | \(0.879929\pi\) | |||||||
\(60\) | 1.97411 | + | 0.831000i | 0.254857 | + | 0.107282i | ||||
\(61\) | −9.91668 | − | 5.72540i | −1.26970 | − | 0.733062i | −0.294770 | − | 0.955568i | \(-0.595243\pi\) |
−0.974931 | + | 0.222506i | \(0.928576\pi\) | |||||||
\(62\) | 5.18247i | 0.658175i | ||||||||
\(63\) | 4.79150 | − | 6.32784i | 0.603672 | − | 0.797233i | ||||
\(64\) | 8.81961 | 1.10245 | ||||||||
\(65\) | 2.81725 | − | 1.00921i | 0.349437 | − | 0.125177i | ||||
\(66\) | −6.83096 | + | 7.44493i | −0.840834 | + | 0.916408i | ||||
\(67\) | 0.134618 | − | 0.0777216i | 0.0164462 | − | 0.00949521i | −0.491754 | − | 0.870734i | \(-0.663644\pi\) |
0.508201 | + | 0.861239i | \(0.330311\pi\) | |||||||
\(68\) | 0.0982572i | 0.0119154i | ||||||||
\(69\) | 0.310873 | − | 1.39794i | 0.0374247 | − | 0.168292i | ||||
\(70\) | −0.947380 | − | 7.05311i | −0.113234 | − | 0.843007i | ||||
\(71\) | − | 10.3336i | − | 1.22638i | −0.789936 | − | 0.613189i | \(-0.789886\pi\) | ||
0.789936 | − | 0.613189i | \(-0.210114\pi\) | |||||||
\(72\) | 8.34484 | + | 3.90453i | 0.983449 | + | 0.460153i | ||||
\(73\) | −5.28792 | + | 9.15894i | −0.618904 | + | 1.07197i | 0.370782 | + | 0.928720i | \(0.379090\pi\) |
−0.989686 | + | 0.143253i | \(0.954244\pi\) | |||||||
\(74\) | 9.92500i | 1.15376i | ||||||||
\(75\) | 8.64742 | + | 0.471323i | 0.998518 | + | 0.0544237i | ||||
\(76\) | 2.64644 | + | 1.52792i | 0.303567 | + | 0.175265i | ||||
\(77\) | −12.5475 | − | 2.68047i | −1.42992 | − | 0.305468i | ||||
\(78\) | 2.65984 | − | 0.836737i | 0.301168 | − | 0.0947418i | ||||
\(79\) | 6.15184 | − | 10.6553i | 0.692136 | − | 1.19881i | −0.279001 | − | 0.960291i | \(-0.590003\pi\) |
0.971137 | − | 0.238524i | \(-0.0766634\pi\) | |||||||
\(80\) | 5.44812 | − | 1.95165i | 0.609119 | − | 0.218202i | ||||
\(81\) | 5.76707 | + | 6.90948i | 0.640786 | + | 0.767720i | ||||
\(82\) | 0.334421 | + | 0.579234i | 0.0369306 | + | 0.0639657i | ||||
\(83\) | 14.4831 | − | 8.36182i | 1.58973 | − | 0.917829i | 0.596376 | − | 0.802705i | \(-0.296607\pi\) |
0.993351 | − | 0.115124i | \(-0.0367267\pi\) | |||||||
\(84\) | 0.238679 | + | 2.52305i | 0.0260420 | + | 0.275288i | ||||
\(85\) | 0.133979 | + | 0.374008i | 0.0145321 | + | 0.0405669i | ||||
\(86\) | 5.99034i | 0.645955i | ||||||||
\(87\) | 4.12998 | + | 13.1285i | 0.442780 | + | 1.40752i | ||||
\(88\) | − | 14.8931i | − | 1.58761i | ||||||
\(89\) | 2.49855 | + | 4.32762i | 0.264846 | + | 0.458726i | 0.967523 | − | 0.252782i | \(-0.0813456\pi\) |
−0.702677 | + | 0.711509i | \(0.748012\pi\) | |||||||
\(90\) | 8.03393 | + | 0.754617i | 0.846851 | + | 0.0795436i | ||||
\(91\) | 2.62893 | + | 2.37197i | 0.275587 | + | 0.248650i | ||||
\(92\) | 0.228628 | + | 0.395996i | 0.0238362 | + | 0.0412854i | ||||
\(93\) | −2.23929 | − | 7.11832i | −0.232204 | − | 0.738135i | ||||
\(94\) | −8.25271 | + | 4.76471i | −0.851202 | + | 0.491442i | ||||
\(95\) | 12.1569 | + | 2.20735i | 1.24727 | + | 0.226469i | ||||
\(96\) | −5.00438 | + | 1.57429i | −0.510758 | + | 0.160675i | ||||
\(97\) | −1.52201 | − | 2.63620i | −0.154537 | − | 0.267665i | 0.778354 | − | 0.627826i | \(-0.216055\pi\) |
−0.932890 | + | 0.360161i | \(0.882722\pi\) | |||||||
\(98\) | 6.82227 | − | 4.93539i | 0.689153 | − | 0.498550i | ||||
\(99\) | 6.16570 | − | 13.1775i | 0.619676 | − | 1.32439i | ||||
\(100\) | −2.13620 | + | 1.75579i | −0.213620 | + | 0.175579i | ||||
\(101\) | −12.1132 | −1.20530 | −0.602652 | − | 0.798004i | \(-0.705889\pi\) | ||||
−0.602652 | + | 0.798004i | \(0.705889\pi\) | |||||||
\(102\) | 0.111082 | + | 0.353111i | 0.0109988 | + | 0.0349632i | ||||
\(103\) | −7.57454 | −0.746341 | −0.373171 | − | 0.927763i | \(-0.621729\pi\) | ||||
−0.373171 | + | 0.927763i | \(0.621729\pi\) | |||||||
\(104\) | −2.05500 | + | 3.55937i | −0.201510 | + | 0.349025i | ||||
\(105\) | 4.34883 | + | 9.27834i | 0.424402 | + | 0.905474i | ||||
\(106\) | 2.56043 | + | 4.43479i | 0.248691 | + | 0.430745i | ||||
\(107\) | −10.1290 | − | 17.5440i | −0.979210 | − | 1.69604i | −0.665277 | − | 0.746597i | \(-0.731686\pi\) |
−0.313934 | − | 0.949445i | \(-0.601647\pi\) | |||||||
\(108\) | −2.84832 | − | 0.380662i | −0.274080 | − | 0.0366293i | ||||
\(109\) | −2.79600 | + | 4.84281i | −0.267808 | + | 0.463857i | −0.968295 | − | 0.249808i | \(-0.919633\pi\) |
0.700488 | + | 0.713665i | \(0.252966\pi\) | |||||||
\(110\) | −4.39899 | − | 12.2800i | −0.419427 | − | 1.17085i | ||||
\(111\) | −4.28849 | − | 13.6323i | −0.407045 | − | 1.29393i | ||||
\(112\) | 5.08395 | + | 4.58703i | 0.480388 | + | 0.433433i | ||||
\(113\) | 0.735088 | − | 1.27321i | 0.0691513 | − | 0.119774i | −0.829377 | − | 0.558690i | \(-0.811304\pi\) |
0.898528 | + | 0.438916i | \(0.144638\pi\) | |||||||
\(114\) | 11.2380 | + | 2.49910i | 1.05253 | + | 0.234062i | ||||
\(115\) | 1.41022 | + | 1.19558i | 0.131504 | + | 0.111488i | ||||
\(116\) | −3.80563 | − | 2.19718i | −0.353344 | − | 0.204003i | ||||
\(117\) | −3.29184 | + | 2.29858i | −0.304331 | + | 0.212504i | ||||
\(118\) | 2.69544 | 0.248135 | ||||||||
\(119\) | −0.314895 | + | 0.349008i | −0.0288664 | + | 0.0319935i | ||||
\(120\) | −9.47759 | + | 7.18643i | −0.865182 | + | 0.656028i | ||||
\(121\) | −12.5179 | −1.13799 | ||||||||
\(122\) | 11.9288 | − | 6.88708i | 1.07998 | − | 0.623527i | ||||
\(123\) | −0.709621 | − | 0.651100i | −0.0639843 | − | 0.0587077i | ||||
\(124\) | 2.06343 | + | 1.19132i | 0.185301 | + | 0.106984i | ||||
\(125\) | −5.73715 | + | 9.59610i | −0.513146 | + | 0.858301i | ||||
\(126\) | 3.71013 | + | 8.79738i | 0.330524 | + | 0.783733i | ||||
\(127\) | 8.14098i | 0.722395i | 0.932489 | + | 0.361197i | \(0.117632\pi\) | ||||
−0.932489 | + | 0.361197i | \(0.882368\pi\) | |||||||
\(128\) | −2.27568 | + | 3.94159i | −0.201143 | + | 0.348390i | ||||
\(129\) | −2.58836 | − | 8.22795i | −0.227893 | − | 0.724431i | ||||
\(130\) | −0.643098 | + | 3.54183i | −0.0564034 | + | 0.310639i | ||||
\(131\) | 10.2924 | 0.899252 | 0.449626 | − | 0.893217i | \(-0.351557\pi\) | ||||
0.449626 | + | 0.893217i | \(0.351557\pi\) | |||||||
\(132\) | 1.39397 | + | 4.43119i | 0.121330 | + | 0.385685i | ||||
\(133\) | 4.50342 | + | 13.9085i | 0.390496 | + | 1.20602i | ||||
\(134\) | 0.186983i | 0.0161528i | ||||||||
\(135\) | −11.3610 | + | 2.43488i | −0.977796 | + | 0.209561i | ||||
\(136\) | −0.472530 | − | 0.272815i | −0.0405191 | − | 0.0233937i | ||||
\(137\) | −2.80002 | −0.239222 | −0.119611 | − | 0.992821i | \(-0.538165\pi\) | ||||
−0.119611 | + | 0.992821i | \(0.538165\pi\) | |||||||
\(138\) | 1.26932 | + | 1.16464i | 0.108051 | + | 0.0991407i | ||||
\(139\) | 12.5228 | + | 7.23003i | 1.06217 | + | 0.613243i | 0.926031 | − | 0.377447i | \(-0.123198\pi\) |
0.136137 | + | 0.990690i | \(0.456531\pi\) | |||||||
\(140\) | −3.02601 | − | 1.24413i | −0.255745 | − | 0.105148i | ||||
\(141\) | 9.27662 | − | 10.1104i | 0.781233 | − | 0.851450i | ||||
\(142\) | 10.7650 | + | 6.21517i | 0.903377 | + | 0.521565i | ||||
\(143\) | 5.62066 | + | 3.24509i | 0.470023 | + | 0.271368i | ||||
\(144\) | −6.36592 | + | 4.44509i | −0.530493 | + | 0.370425i | ||||
\(145\) | −17.4818 | − | 3.17421i | −1.45179 | − | 0.263604i | ||||
\(146\) | −6.36083 | − | 11.0173i | −0.526426 | − | 0.911797i | ||||
\(147\) | −7.23810 | + | 9.72676i | −0.596988 | + | 0.802250i | ||||
\(148\) | 3.95169 | + | 2.28151i | 0.324827 | + | 0.187539i | ||||
\(149\) | 6.05577i | 0.496108i | 0.968746 | + | 0.248054i | \(0.0797911\pi\) | ||||
−0.968746 | + | 0.248054i | \(0.920209\pi\) | |||||||
\(150\) | −5.69198 | + | 8.72490i | −0.464749 | + | 0.712385i | ||||
\(151\) | −14.3134 | −1.16480 | −0.582402 | − | 0.812901i | \(-0.697887\pi\) | ||||
−0.582402 | + | 0.812901i | \(0.697887\pi\) | |||||||
\(152\) | −14.6959 | + | 8.48468i | −1.19199 | + | 0.688199i | ||||
\(153\) | −0.305151 | − | 0.437014i | −0.0246700 | − | 0.0353305i | ||||
\(154\) | 10.3391 | − | 11.4591i | 0.833146 | − | 0.923402i | ||||
\(155\) | 9.47871 | + | 1.72107i | 0.761349 | + | 0.138240i | ||||
\(156\) | 0.278280 | − | 1.25138i | 0.0222802 | − | 0.100190i | ||||
\(157\) | −1.89351 | − | 3.27966i | −0.151119 | − | 0.261746i | 0.780520 | − | 0.625131i | \(-0.214954\pi\) |
−0.931639 | + | 0.363385i | \(0.881621\pi\) | |||||||
\(158\) | 7.40004 | + | 12.8172i | 0.588716 | + | 1.01969i | ||||
\(159\) | −5.43307 | − | 4.98501i | −0.430870 | − | 0.395337i | ||||
\(160\) | 1.20996 | − | 6.66381i | 0.0956560 | − | 0.526821i | ||||
\(161\) | −0.457004 | + | 2.13928i | −0.0360170 | + | 0.168599i | ||||
\(162\) | −10.6665 | + | 1.85210i | −0.838039 | + | 0.145515i | ||||
\(163\) | −1.42373 | + | 0.821991i | −0.111515 | + | 0.0643833i | −0.554720 | − | 0.832037i | \(-0.687175\pi\) |
0.443205 | + | 0.896420i | \(0.353841\pi\) | |||||||
\(164\) | 0.307500 | 0.0240117 | ||||||||
\(165\) | 11.3482 | + | 14.9662i | 0.883457 | + | 1.16512i | ||||
\(166\) | 20.1169i | 1.56137i | ||||||||
\(167\) | −3.15992 | − | 1.82438i | −0.244522 | − | 0.141175i | 0.372731 | − | 0.927939i | \(-0.378421\pi\) |
−0.617253 | + | 0.786764i | \(0.711755\pi\) | |||||||
\(168\) | −12.7964 | − | 5.85753i | −0.987260 | − | 0.451918i | ||||
\(169\) | 5.60446 | + | 9.70721i | 0.431112 | + | 0.746709i | ||||
\(170\) | −0.470201 | − | 0.0853755i | −0.0360628 | − | 0.00654800i | ||||
\(171\) | −16.5156 | + | 1.42321i | −1.26298 | + | 0.108836i | ||||
\(172\) | 2.38509 | + | 1.37703i | 0.181861 | + | 0.104998i | ||||
\(173\) | −8.70486 | − | 5.02575i | −0.661818 | − | 0.382101i | 0.131151 | − | 0.991362i | \(-0.458133\pi\) |
−0.792969 | + | 0.609261i | \(0.791466\pi\) | |||||||
\(174\) | −16.1605 | − | 3.59375i | −1.22512 | − | 0.272442i | ||||
\(175\) | −13.2147 | − | 0.609545i | −0.998938 | − | 0.0460773i | ||||
\(176\) | 10.8695 | + | 6.27551i | 0.819319 | + | 0.473034i | ||||
\(177\) | −3.70228 | + | 1.16467i | −0.278281 | + | 0.0875419i | ||||
\(178\) | −6.01101 | −0.450544 | ||||||||
\(179\) | 12.1422 | + | 7.01032i | 0.907552 | + | 0.523976i | 0.879643 | − | 0.475635i | \(-0.157782\pi\) |
0.0279095 | + | 0.999610i | \(0.491115\pi\) | |||||||
\(180\) | 2.14726 | − | 3.02529i | 0.160047 | − | 0.225491i | ||||
\(181\) | − | 16.3088i | − | 1.21223i | −0.795379 | − | 0.606113i | \(-0.792728\pi\) | ||
0.795379 | − | 0.606113i | \(-0.207272\pi\) | |||||||
\(182\) | −4.05215 | + | 1.31205i | −0.300365 | + | 0.0972554i | ||||
\(183\) | −13.4088 | + | 14.6139i | −0.991204 | + | 1.08029i | ||||
\(184\) | −2.53919 | −0.187191 | ||||||||
\(185\) | 18.1528 | + | 3.29604i | 1.33462 | + | 0.242329i | ||||
\(186\) | 8.76227 | + | 1.94855i | 0.642480 | + | 0.142874i | ||||
\(187\) | −0.430807 | + | 0.746180i | −0.0315037 | + | 0.0545661i | ||||
\(188\) | 4.38115i | 0.319528i | ||||||||
\(189\) | −8.89725 | − | 10.4804i | −0.647179 | − | 0.762338i | ||||
\(190\) | −9.61122 | + | 11.3367i | −0.697271 | + | 0.822450i | ||||
\(191\) | 13.0759 | + | 7.54940i | 0.946142 | + | 0.546255i | 0.891880 | − | 0.452272i | \(-0.149386\pi\) |
0.0542615 | + | 0.998527i | \(0.482720\pi\) | |||||||
\(192\) | 3.31606 | − | 14.9117i | 0.239316 | − | 1.07616i | ||||
\(193\) | 1.47631 | − | 0.852345i | 0.106267 | − | 0.0613532i | −0.445925 | − | 0.895070i | \(-0.647125\pi\) |
0.552191 | + | 0.833717i | \(0.313792\pi\) | |||||||
\(194\) | 3.66164 | 0.262891 | ||||||||
\(195\) | −0.647068 | − | 5.14271i | −0.0463375 | − | 0.368277i | ||||
\(196\) | −0.396783 | − | 3.85084i | −0.0283416 | − | 0.275060i | ||||
\(197\) | −1.72122 | −0.122632 | −0.0613158 | − | 0.998118i | \(-0.519530\pi\) | ||||
−0.0613158 | + | 0.998118i | \(0.519530\pi\) | |||||||
\(198\) | 10.0192 | + | 14.3486i | 0.712030 | + | 1.01971i | ||||
\(199\) | 22.0950 | + | 12.7566i | 1.56627 | + | 0.904288i | 0.996598 | + | 0.0824185i | \(0.0262644\pi\) |
0.569675 | + | 0.821870i | \(0.307069\pi\) | |||||||
\(200\) | −2.51256 | − | 15.1483i | −0.177665 | − | 1.07114i | ||||
\(201\) | −0.0807932 | − | 0.256827i | −0.00569871 | − | 0.0181152i | ||||
\(202\) | 7.28545 | − | 12.6188i | 0.512603 | − | 0.887854i | ||||
\(203\) | −6.47602 | − | 20.0007i | −0.454527 | − | 1.40377i | ||||
\(204\) | 0.166128 | + | 0.0369435i | 0.0116313 | + | 0.00258656i | ||||
\(205\) | 1.17048 | − | 0.419294i | 0.0817496 | − | 0.0292847i | ||||
\(206\) | 4.55570 | − | 7.89071i | 0.317411 | − | 0.549772i | ||||
\(207\) | −2.24668 | − | 1.05122i | −0.156155 | − | 0.0730646i | ||||
\(208\) | −1.73183 | − | 2.99962i | −0.120081 | − | 0.207986i | ||||
\(209\) | 13.3983 | + | 23.2065i | 0.926779 | + | 1.60523i | ||||
\(210\) | −12.2812 | − | 1.05010i | −0.847486 | − | 0.0724638i | ||||
\(211\) | 0.0469655 | − | 0.0813465i | 0.00323324 | − | 0.00560013i | −0.864404 | − | 0.502797i | \(-0.832304\pi\) |
0.867637 | + | 0.497197i | \(0.165637\pi\) | |||||||
\(212\) | 2.35431 | 0.161695 | ||||||||
\(213\) | −17.4716 | − | 3.88532i | −1.19713 | − | 0.266218i | ||||
\(214\) | 24.3684 | 1.66579 | ||||||||
\(215\) | 10.9563 | + | 1.98936i | 0.747213 | + | 0.135673i | ||||
\(216\) | 9.73914 | − | 12.6410i | 0.662664 | − | 0.860109i | ||||
\(217\) | 3.51132 | + | 10.8444i | 0.238364 | + | 0.736169i | ||||
\(218\) | −3.36330 | − | 5.82541i | −0.227792 | − | 0.394547i | ||||
\(219\) | 13.4973 | + | 12.3842i | 0.912062 | + | 0.836846i | ||||
\(220\) | −5.90055 | − | 1.07138i | −0.397815 | − | 0.0722321i | ||||
\(221\) | 0.205921 | − | 0.118889i | 0.0138518 | − | 0.00799731i | ||||
\(222\) | 16.7807 | + | 3.73168i | 1.12625 | + | 0.250454i | ||||
\(223\) | 5.21542 | + | 9.03337i | 0.349250 | + | 0.604919i | 0.986116 | − | 0.166055i | \(-0.0531030\pi\) |
−0.636866 | + | 0.770974i | \(0.719770\pi\) | |||||||
\(224\) | 7.62396 | − | 2.46856i | 0.509397 | − | 0.164938i | ||||
\(225\) | 4.04821 | − | 14.4434i | 0.269881 | − | 0.962894i | ||||
\(226\) | 0.884237 | + | 1.53154i | 0.0588186 | + | 0.101877i | ||||
\(227\) | 0.608344i | 0.0403772i | 0.999796 | + | 0.0201886i | \(0.00642667\pi\) | ||||
−0.999796 | + | 0.0201886i | \(0.993573\pi\) | |||||||
\(228\) | 3.57836 | − | 3.89998i | 0.236983 | − | 0.258283i | ||||
\(229\) | 4.97008i | 0.328432i | 0.986424 | + | 0.164216i | \(0.0525095\pi\) | ||||
−0.986424 | + | 0.164216i | \(0.947491\pi\) | |||||||
\(230\) | −2.09366 | + | 0.750002i | −0.138052 | + | 0.0494536i | ||||
\(231\) | −9.24972 | + | 20.2069i | −0.608587 | + | 1.32952i | ||||
\(232\) | 21.1330 | − | 12.2012i | 1.38745 | − | 0.801045i | ||||
\(233\) | 1.46329 | + | 2.53449i | 0.0958633 | + | 0.166040i | 0.909969 | − | 0.414677i | \(-0.136105\pi\) |
−0.814105 | + | 0.580717i | \(0.802772\pi\) | |||||||
\(234\) | −0.414645 | − | 4.81173i | −0.0271062 | − | 0.314553i | ||||
\(235\) | 5.97394 | + | 16.6765i | 0.389697 | + | 1.08785i | ||||
\(236\) | 0.619614 | − | 1.07320i | 0.0403334 | − | 0.0698596i | ||||
\(237\) | −15.7024 | − | 14.4075i | −1.01998 | − | 0.935866i | ||||
\(238\) | −0.174183 | − | 0.537950i | −0.0112906 | − | 0.0348701i | ||||
\(239\) | −17.9962 | − | 10.3901i | −1.16408 | − | 0.672080i | −0.211800 | − | 0.977313i | \(-0.567932\pi\) |
−0.952278 | + | 0.305233i | \(0.901266\pi\) | |||||||
\(240\) | −1.25133 | − | 9.94521i | −0.0807730 | − | 0.641960i | ||||
\(241\) | − | 2.37450i | − | 0.152955i | −0.997071 | − | 0.0764774i | \(-0.975633\pi\) | ||
0.997071 | − | 0.0764774i | \(-0.0243673\pi\) | |||||||
\(242\) | 7.52891 | − | 13.0405i | 0.483977 | − | 0.838272i | ||||
\(243\) | 13.8505 | − | 7.15280i | 0.888513 | − | 0.458852i | ||||
\(244\) | − | 6.33267i | − | 0.405408i | ||||||
\(245\) | −6.76116 | − | 14.1169i | −0.431955 | − | 0.901895i | ||||
\(246\) | 1.10508 | − | 0.347637i | 0.0704572 | − | 0.0221645i | ||||
\(247\) | − | 7.39498i | − | 0.470531i | ||||||
\(248\) | −11.4584 | + | 6.61551i | −0.727610 | + | 0.420086i | ||||
\(249\) | −8.69228 | − | 27.6312i | −0.550851 | − | 1.75106i | ||||
\(250\) | −6.54605 | − | 11.7482i | −0.414009 | − | 0.743021i | ||||
\(251\) | 10.4701 | 0.660869 | 0.330435 | − | 0.943829i | \(-0.392805\pi\) | ||||
0.330435 | + | 0.943829i | \(0.392805\pi\) | |||||||
\(252\) | 4.35559 | + | 0.545091i | 0.274376 | + | 0.0343375i | ||||
\(253\) | 4.00967i | 0.252086i | ||||||||
\(254\) | −8.48079 | − | 4.89639i | −0.532132 | − | 0.307227i | ||||
\(255\) | 0.682728 | − | 0.0859026i | 0.0427541 | − | 0.00537943i | ||||
\(256\) | 6.08220 | + | 10.5347i | 0.380137 | + | 0.658417i | ||||
\(257\) | − | 9.94322i | − | 0.620241i | −0.950697 | − | 0.310120i | \(-0.899631\pi\) | ||
0.950697 | − | 0.310120i | \(-0.100369\pi\) | |||||||
\(258\) | 10.1282 | + | 2.25230i | 0.630552 | + | 0.140222i | ||||
\(259\) | 6.72456 | + | 20.7683i | 0.417844 | + | 1.29048i | ||||
\(260\) | 1.26237 | + | 1.07023i | 0.0782887 | + | 0.0663730i | ||||
\(261\) | 23.7498 | − | 2.04661i | 1.47008 | − | 0.126682i | ||||
\(262\) | −6.19037 | + | 10.7220i | −0.382442 | + | 0.662409i | ||||
\(263\) | −25.0978 | −1.54760 | −0.773798 | − | 0.633433i | \(-0.781645\pi\) | ||||
−0.773798 | + | 0.633433i | \(0.781645\pi\) | |||||||
\(264\) | −25.1805 | − | 5.59963i | −1.54975 | − | 0.344633i | ||||
\(265\) | 8.96151 | − | 3.21024i | 0.550501 | − | 0.197203i | ||||
\(266\) | −17.1976 | − | 3.67384i | −1.05445 | − | 0.225258i | ||||
\(267\) | 8.25634 | − | 2.59729i | 0.505280 | − | 0.158952i | ||||
\(268\) | 0.0744481 | + | 0.0429826i | 0.00454764 | + | 0.00262558i | ||||
\(269\) | −3.90321 | + | 6.76057i | −0.237983 | + | 0.412199i | −0.960135 | − | 0.279535i | \(-0.909820\pi\) |
0.722152 | + | 0.691734i | \(0.243153\pi\) | |||||||
\(270\) | 4.29653 | − | 13.2996i | 0.261478 | − | 0.809390i | ||||
\(271\) | −16.2132 | + | 9.36071i | −0.984884 | + | 0.568623i | −0.903741 | − | 0.428080i | \(-0.859190\pi\) |
−0.0811425 | + | 0.996703i | \(0.525857\pi\) | |||||||
\(272\) | 0.398220 | − | 0.229912i | 0.0241456 | − | 0.0139405i | ||||
\(273\) | 4.99886 | − | 3.55303i | 0.302545 | − | 0.215039i | ||||
\(274\) | 1.68407 | − | 2.91689i | 0.101738 | − | 0.176216i | ||||
\(275\) | −23.9208 | + | 3.96762i | −1.44248 | + | 0.239256i | ||||
\(276\) | 0.755492 | − | 0.237664i | 0.0454752 | − | 0.0143057i | ||||
\(277\) | 12.1099i | 0.727613i | 0.931475 | + | 0.363807i | \(0.118523\pi\) | ||||
−0.931475 | + | 0.363807i | \(0.881477\pi\) | |||||||
\(278\) | −15.0636 | + | 8.69700i | −0.903457 | + | 0.521611i | ||||
\(279\) | −12.8772 | + | 1.10968i | −0.770940 | + | 0.0664348i | ||||
\(280\) | 14.3850 | − | 11.0981i | 0.859669 | − | 0.663236i | ||||
\(281\) | 28.1997 | − | 16.2811i | 1.68225 | − | 0.971248i | 0.722091 | − | 0.691799i | \(-0.243181\pi\) |
0.960160 | − | 0.279450i | \(-0.0901520\pi\) | |||||||
\(282\) | 4.95300 | + | 15.7447i | 0.294947 | + | 0.937586i | ||||
\(283\) | 15.1847 | + | 26.3006i | 0.902634 | + | 1.56341i | 0.824062 | + | 0.566500i | \(0.191703\pi\) |
0.0785728 | + | 0.996908i | \(0.474964\pi\) | |||||||
\(284\) | 4.94920 | − | 2.85742i | 0.293681 | − | 0.169557i | ||||
\(285\) | 8.30290 | − | 19.7243i | 0.491821 | − | 1.16836i | ||||
\(286\) | −6.76109 | + | 3.90352i | −0.399792 | + | 0.230820i | ||||
\(287\) | 1.09224 | + | 0.985478i | 0.0644727 | + | 0.0581709i | ||||
\(288\) | 0.780137 | + | 9.05307i | 0.0459700 | + | 0.533457i | ||||
\(289\) | −8.48422 | − | 14.6951i | −0.499072 | − | 0.864417i | ||||
\(290\) | 13.8211 | − | 16.3024i | 0.811605 | − | 0.957310i | ||||
\(291\) | −5.02940 | + | 1.58216i | −0.294829 | + | 0.0927477i | ||||
\(292\) | −5.84879 | −0.342274 | ||||||||
\(293\) | 24.5241 | + | 14.1590i | 1.43271 | + | 0.827177i | 0.997327 | − | 0.0730662i | \(-0.0232785\pi\) |
0.435386 | + | 0.900244i | \(0.356612\pi\) | |||||||
\(294\) | −5.77942 | − | 13.3904i | −0.337062 | − | 0.780943i | ||||
\(295\) | 0.895140 | − | 4.92994i | 0.0521170 | − | 0.287032i | ||||
\(296\) | −21.9441 | + | 12.6694i | −1.27547 | + | 0.736396i | ||||
\(297\) | −19.9616 | − | 15.3792i | −1.15829 | − | 0.892393i | ||||
\(298\) | −6.30855 | − | 3.64224i | −0.365444 | − | 0.210989i | ||||
\(299\) | 0.553269 | − | 0.958290i | 0.0319964 | − | 0.0554193i | ||||
\(300\) | 2.16542 | + | 4.27193i | 0.125021 | + | 0.246640i | ||||
\(301\) | 4.05868 | + | 12.5349i | 0.233939 | + | 0.722501i | ||||
\(302\) | 8.60876 | − | 14.9108i | 0.495379 | − | 0.858021i | ||||
\(303\) | −4.55440 | + | 20.4803i | −0.261643 | + | 1.17656i | ||||
\(304\) | − | 14.3008i | − | 0.820204i | ||||||
\(305\) | −8.63495 | − | 24.1048i | −0.494436 | − | 1.38024i | ||||
\(306\) | 0.638788 | − | 0.0550468i | 0.0365171 | − | 0.00314682i | ||||
\(307\) | −17.2849 | −0.986503 | −0.493251 | − | 0.869887i | \(-0.664192\pi\) | ||||
−0.493251 | + | 0.869887i | \(0.664192\pi\) | |||||||
\(308\) | −2.18582 | − | 6.75072i | −0.124548 | − | 0.384658i | ||||
\(309\) | −2.84793 | + | 12.8066i | −0.162013 | + | 0.728544i | ||||
\(310\) | −7.49388 | + | 8.83923i | −0.425624 | + | 0.502035i | ||||
\(311\) | −7.49347 | − | 12.9791i | −0.424915 | − | 0.735975i | 0.571497 | − | 0.820604i | \(-0.306363\pi\) |
−0.996413 | + | 0.0846290i | \(0.973030\pi\) | |||||||
\(312\) | 5.24535 | + | 4.81278i | 0.296960 | + | 0.272470i | ||||
\(313\) | 6.73830 | − | 11.6711i | 0.380871 | − | 0.659688i | −0.610316 | − | 0.792158i | \(-0.708957\pi\) |
0.991187 | + | 0.132470i | \(0.0422908\pi\) | |||||||
\(314\) | 4.55541 | 0.257077 | ||||||||
\(315\) | 17.3225 | − | 3.86424i | 0.976010 | − | 0.217725i | ||||
\(316\) | 6.80434 | 0.382774 | ||||||||
\(317\) | −0.392277 | + | 0.679444i | −0.0220325 | + | 0.0381614i | −0.876831 | − | 0.480798i | \(-0.840347\pi\) |
0.854799 | + | 0.518959i | \(0.173680\pi\) | |||||||
\(318\) | 8.46081 | − | 2.66161i | 0.474459 | − | 0.149256i | ||||
\(319\) | −19.2670 | − | 33.3715i | −1.07875 | − | 1.86844i | ||||
\(320\) | 15.0427 | + | 12.7532i | 0.840914 | + | 0.712925i | ||||
\(321\) | −33.4709 | + | 10.5293i | −1.86816 | + | 0.587690i | ||||
\(322\) | −1.95371 | − | 1.76275i | −0.108876 | − | 0.0982342i | ||||
\(323\) | 0.981732 | 0.0546250 | ||||||||
\(324\) | −1.71454 | + | 4.67267i | −0.0952521 | + | 0.259593i | ||||
\(325\) | 6.26442 | + | 2.35244i | 0.347487 | + | 0.130490i | ||||
\(326\) | − | 1.97755i | − | 0.109526i | ||||||
\(327\) | 7.13671 | + | 6.54816i | 0.394661 | + | 0.362114i | ||||
\(328\) | −0.853788 | + | 1.47880i | −0.0471426 | + | 0.0816533i | ||||
\(329\) | −14.0407 | + | 15.5618i | −0.774090 | + | 0.857949i | ||||
\(330\) | −22.4163 | + | 2.82047i | −1.23398 | + | 0.155262i | ||||
\(331\) | −0.497985 | + | 0.862535i | −0.0273717 | + | 0.0474092i | −0.879387 | − | 0.476108i | \(-0.842047\pi\) |
0.852015 | + | 0.523517i | \(0.175380\pi\) | |||||||
\(332\) | 8.00964 | + | 4.62437i | 0.439586 | + | 0.253795i | ||||
\(333\) | −24.6613 | + | 2.12516i | −1.35143 | + | 0.116458i | ||||
\(334\) | 3.80107 | − | 2.19455i | 0.207985 | − | 0.120080i | ||||
\(335\) | 0.341990 | + | 0.0620959i | 0.0186849 | + | 0.00339266i | ||||
\(336\) | 9.66702 | − | 6.87102i | 0.527379 | − | 0.374845i | ||||
\(337\) | −1.68117 | − | 0.970624i | −0.0915792 | − | 0.0528733i | 0.453511 | − | 0.891251i | \(-0.350171\pi\) |
−0.545090 | + | 0.838377i | \(0.683505\pi\) | |||||||
\(338\) | −13.4832 | −0.733390 | ||||||||
\(339\) | −1.87630 | − | 1.72156i | −0.101906 | − | 0.0935024i | ||||
\(340\) | −0.142080 | + | 0.167587i | −0.00770538 | + | 0.00908871i | ||||
\(341\) | 10.4467 | + | 18.0941i | 0.565718 | + | 0.979853i | ||||
\(342\) | 8.45069 | − | 18.0610i | 0.456961 | − | 0.976626i | ||||
\(343\) | 10.9318 | − | 14.9498i | 0.590263 | − | 0.807211i | ||||
\(344\) | −13.2446 | + | 7.64677i | −0.714101 | + | 0.412286i | ||||
\(345\) | 2.55165 | − | 1.93480i | 0.137376 | − | 0.104166i | ||||
\(346\) | 10.4711 | − | 6.04548i | 0.562928 | − | 0.325007i | ||||
\(347\) | 0.765596 | + | 1.32605i | 0.0410993 | + | 0.0711861i | 0.885843 | − | 0.463984i | \(-0.153581\pi\) |
−0.844744 | + | 0.535171i | \(0.820247\pi\) | |||||||
\(348\) | −5.14576 | + | 5.60826i | −0.275842 | + | 0.300634i | ||||
\(349\) | −7.58071 | + | 4.37673i | −0.405786 | + | 0.234281i | −0.688978 | − | 0.724783i | \(-0.741940\pi\) |
0.283191 | + | 0.959063i | \(0.408607\pi\) | |||||||
\(350\) | 8.58297 | − | 13.3997i | 0.458779 | − | 0.716244i | ||||
\(351\) | 2.64863 | + | 6.42992i | 0.141373 | + | 0.343204i | ||||
\(352\) | 12.7207 | − | 7.34431i | 0.678016 | − | 0.391453i | ||||
\(353\) | − | 3.01173i | − | 0.160298i | −0.996783 | − | 0.0801491i | \(-0.974460\pi\) | ||
0.996783 | − | 0.0801491i | \(-0.0255396\pi\) | |||||||
\(354\) | 1.01345 | − | 4.55731i | 0.0538643 | − | 0.242218i | ||||
\(355\) | 14.9425 | − | 17.6251i | 0.793065 | − | 0.935441i | ||||
\(356\) | −1.38178 | + | 2.39332i | −0.0732343 | + | 0.126845i | ||||
\(357\) | 0.471689 | + | 0.663631i | 0.0249644 | + | 0.0351231i | ||||
\(358\) | −14.6059 | + | 8.43270i | −0.771944 | + | 0.445682i | ||||
\(359\) | −17.7753 | + | 10.2626i | −0.938143 | + | 0.541637i | −0.889378 | − | 0.457173i | \(-0.848862\pi\) |
−0.0487650 | + | 0.998810i | \(0.515529\pi\) | |||||||
\(360\) | 8.58700 | + | 18.7262i | 0.452574 | + | 0.986959i | ||||
\(361\) | 5.76616 | − | 9.98728i | 0.303482 | − | 0.525646i | ||||
\(362\) | 16.9896 | + | 9.80894i | 0.892952 | + | 0.515546i | ||||
\(363\) | −4.70659 | + | 21.1647i | −0.247032 | + | 1.11086i | ||||
\(364\) | −0.409091 | + | 1.91499i | −0.0214422 | + | 0.100373i | ||||
\(365\) | −22.2629 | + | 7.97514i | −1.16530 | + | 0.417438i | ||||
\(366\) | −7.15925 | − | 22.7580i | −0.374220 | − | 1.18958i | ||||
\(367\) | −8.48758 | −0.443048 | −0.221524 | − | 0.975155i | \(-0.571103\pi\) | ||||
−0.221524 | + | 0.975155i | \(0.571103\pi\) | |||||||
\(368\) | 1.06994 | − | 1.85318i | 0.0557743 | − | 0.0966039i | ||||
\(369\) | −1.36766 | + | 0.954985i | −0.0711973 | + | 0.0497145i | ||||
\(370\) | −14.3516 | + | 16.9281i | −0.746104 | + | 0.880049i | ||||
\(371\) | 8.36249 | + | 7.54511i | 0.434159 | + | 0.391723i | ||||
\(372\) | 2.79005 | − | 3.04082i | 0.144657 | − | 0.157659i | ||||
\(373\) | − | 5.80495i | − | 0.300569i | −0.988643 | − | 0.150284i | \(-0.951981\pi\) | ||
0.988643 | − | 0.150284i | \(-0.0480189\pi\) | |||||||
\(374\) | −0.518217 | − | 0.897579i | −0.0267964 | − | 0.0464127i | ||||
\(375\) | 14.0675 | + | 13.3081i | 0.726443 | + | 0.687227i | ||||
\(376\) | −21.0695 | − | 12.1645i | −1.08657 | − | 0.627334i | ||||
\(377\) | 10.6341i | 0.547686i | ||||||||
\(378\) | 16.2691 | − | 2.96519i | 0.836793 | − | 0.152513i | ||||
\(379\) | −33.3868 | −1.71496 | −0.857482 | − | 0.514513i | \(-0.827973\pi\) | ||||
−0.857482 | + | 0.514513i | \(0.827973\pi\) | |||||||
\(380\) | 2.30438 | + | 6.43278i | 0.118212 | + | 0.329995i | ||||
\(381\) | 13.7644 | + | 3.06091i | 0.705169 | + | 0.156815i | ||||
\(382\) | −15.7290 | + | 9.08116i | −0.804768 | + | 0.464633i | ||||
\(383\) | 13.7010i | 0.700090i | 0.936733 | + | 0.350045i | \(0.113834\pi\) | ||||
−0.936733 | + | 0.350045i | \(0.886166\pi\) | |||||||
\(384\) | 5.80861 | + | 5.32958i | 0.296419 | + | 0.271974i | ||||
\(385\) | −17.5251 | − | 22.7156i | −0.893162 | − | 1.15769i | ||||
\(386\) | 2.05057i | 0.104371i | ||||||||
\(387\) | −14.8846 | + | 1.28266i | −0.756627 | + | 0.0652014i | ||||
\(388\) | 0.841721 | − | 1.45790i | 0.0427319 | − | 0.0740138i | ||||
\(389\) | − | 1.11589i | − | 0.0565781i | −0.999600 | − | 0.0282891i | \(-0.990994\pi\) | ||
0.999600 | − | 0.0282891i | \(-0.00900589\pi\) | |||||||
\(390\) | 5.74655 | + | 2.41900i | 0.290988 | + | 0.122491i | ||||
\(391\) | 0.127219 | + | 0.0734501i | 0.00643375 | + | 0.00371453i | ||||
\(392\) | 19.6208 | + | 8.78387i | 0.991002 | + | 0.443652i | ||||
\(393\) | 3.86982 | − | 17.4019i | 0.195207 | − | 0.877809i | ||||
\(394\) | 1.03522 | − | 1.79306i | 0.0521539 | − | 0.0903332i | ||||
\(395\) | 25.9002 | − | 9.27809i | 1.30318 | − | 0.466832i | ||||
\(396\) | 8.01614 | − | 0.690781i | 0.402826 | − | 0.0347131i | ||||
\(397\) | −13.9181 | − | 24.1068i | −0.698529 | − | 1.20989i | −0.968976 | − | 0.247153i | \(-0.920505\pi\) |
0.270447 | − | 0.962735i | \(-0.412828\pi\) | |||||||
\(398\) | −26.5781 | + | 15.3449i | −1.33224 | + | 0.769168i | ||||
\(399\) | 25.2090 | − | 2.38475i | 1.26203 | − | 0.119387i | ||||
\(400\) | 12.1144 | + | 4.54927i | 0.605721 | + | 0.227463i | ||||
\(401\) | − | 24.5684i | − | 1.22689i | −0.789739 | − | 0.613443i | \(-0.789784\pi\) | ||
0.789739 | − | 0.613443i | \(-0.210216\pi\) | |||||||
\(402\) | 0.316141 | + | 0.0703032i | 0.0157677 | + | 0.00350640i | ||||
\(403\) | − | 5.76587i | − | 0.287219i | ||||||
\(404\) | −3.34949 | − | 5.80148i | −0.166643 | − | 0.288635i | ||||
\(405\) | −0.154808 | + | 20.1240i | −0.00769245 | + | 0.999970i | ||||
\(406\) | 24.7305 | + | 5.28306i | 1.22736 | + | 0.262194i | ||||
\(407\) | 20.0065 | + | 34.6523i | 0.991685 | + | 1.71765i | ||||
\(408\) | −0.638928 | + | 0.696355i | −0.0316316 | + | 0.0344747i | ||||
\(409\) | 7.17694 | − | 4.14361i | 0.354877 | − | 0.204888i | −0.311954 | − | 0.950097i | \(-0.600984\pi\) |
0.666831 | + | 0.745209i | \(0.267650\pi\) | |||||||
\(410\) | −0.267187 | + | 1.47152i | −0.0131954 | + | 0.0726730i | ||||
\(411\) | −1.05277 | + | 4.73413i | −0.0519294 | + | 0.233517i | ||||
\(412\) | −2.09448 | − | 3.62775i | −0.103188 | − | 0.178727i | ||||
\(413\) | 5.64026 | − | 1.82626i | 0.277539 | − | 0.0898644i | ||||
\(414\) | 2.44636 | − | 1.70821i | 0.120232 | − | 0.0839538i | ||||
\(415\) | 36.7936 | + | 6.68070i | 1.80613 | + | 0.327943i | ||||
\(416\) | −4.05358 | −0.198743 | ||||||||
\(417\) | 16.9326 | − | 18.4545i | 0.829192 | − | 0.903720i | ||||
\(418\) | −32.2336 | −1.57660 | ||||||||
\(419\) | 8.68558 | − | 15.0439i | 0.424319 | − | 0.734941i | −0.572038 | − | 0.820227i | \(-0.693847\pi\) |
0.996357 | + | 0.0852859i | \(0.0271804\pi\) | |||||||
\(420\) | −3.24125 | + | 4.64845i | −0.158157 | + | 0.226821i | ||||
\(421\) | 9.54538 | + | 16.5331i | 0.465213 | + | 0.805773i | 0.999211 | − | 0.0397127i | \(-0.0126443\pi\) |
−0.533998 | + | 0.845486i | \(0.679311\pi\) | |||||||
\(422\) | 0.0564947 | + | 0.0978517i | 0.00275012 | + | 0.00476335i | ||||
\(423\) | −13.6063 | − | 19.4858i | −0.661559 | − | 0.947433i | ||||
\(424\) | −6.53686 | + | 11.3222i | −0.317458 | + | 0.549853i | ||||
\(425\) | −0.312302 | + | 0.831642i | −0.0151489 | + | 0.0403406i | ||||
\(426\) | 14.5558 | − | 15.8641i | 0.705230 | − | 0.768616i | ||||
\(427\) | 20.2950 | − | 22.4936i | 0.982142 | − | 1.08854i | ||||
\(428\) | 5.60169 | − | 9.70241i | 0.270768 | − | 0.468984i | ||||
\(429\) | 7.59993 | − | 8.28301i | 0.366928 | − | 0.399908i | ||||
\(430\) | −8.66206 | + | 10.2171i | −0.417722 | + | 0.492714i | ||||
\(431\) | −6.23832 | − | 3.60170i | −0.300489 | − | 0.173488i | 0.342173 | − | 0.939637i | \(-0.388837\pi\) |
−0.642663 | + | 0.766149i | \(0.722170\pi\) | |||||||
\(432\) | 5.12203 | + | 12.4345i | 0.246434 | + | 0.598254i | ||||
\(433\) | −14.5747 | −0.700416 | −0.350208 | − | 0.936672i | \(-0.613889\pi\) | ||||
−0.350208 | + | 0.936672i | \(0.613889\pi\) | |||||||
\(434\) | −13.4090 | − | 2.86450i | −0.643652 | − | 0.137500i | ||||
\(435\) | −11.9397 | + | 28.3639i | −0.572467 | + | 1.35995i | ||||
\(436\) | −3.09256 | −0.148107 | ||||||||
\(437\) | 3.95658 | − | 2.28433i | 0.189269 | − | 0.109274i | ||||
\(438\) | −21.0191 | + | 6.61221i | −1.00433 | + | 0.315944i | ||||
\(439\) | 35.6686 | + | 20.5933i | 1.70237 | + | 0.982864i | 0.943351 | + | 0.331796i | \(0.107655\pi\) |
0.759020 | + | 0.651068i | \(0.225679\pi\) | |||||||
\(440\) | 21.5355 | − | 25.4017i | 1.02666 | − | 1.21098i | ||||
\(441\) | 13.7241 | + | 15.8950i | 0.653528 | + | 0.756903i | ||||
\(442\) | 0.286022i | 0.0136047i | ||||||||
\(443\) | 9.35967 | − | 16.2114i | 0.444691 | − | 0.770228i | −0.553339 | − | 0.832956i | \(-0.686647\pi\) |
0.998031 | + | 0.0627279i | \(0.0199800\pi\) | |||||||
\(444\) | 5.34325 | − | 5.82350i | 0.253579 | − | 0.276371i | ||||
\(445\) | −1.99622 | + | 10.9941i | −0.0946300 | + | 0.521170i | ||||
\(446\) | −12.5472 | −0.594129 | ||||||||
\(447\) | 10.2388 | + | 2.27690i | 0.484278 | + | 0.107694i | ||||
\(448\) | −4.87484 | + | 22.8196i | −0.230315 | + | 1.07812i | ||||
\(449\) | 29.3492i | 1.38507i | 0.721383 | + | 0.692536i | \(0.243507\pi\) | ||||
−0.721383 | + | 0.692536i | \(0.756493\pi\) | |||||||
\(450\) | 12.6115 | + | 12.9042i | 0.594512 | + | 0.608309i | ||||
\(451\) | 2.33520 | + | 1.34823i | 0.109960 | + | 0.0634857i | ||||
\(452\) | 0.813056 | 0.0382430 | ||||||||
\(453\) | −5.38164 | + | 24.2003i | −0.252852 | + | 1.13703i | ||||
\(454\) | −0.633737 | − | 0.365888i | −0.0297428 | − | 0.0171720i | ||||
\(455\) | 1.05403 | + | 7.84708i | 0.0494136 | + | 0.367877i | ||||
\(456\) | 8.81999 | + | 28.0372i | 0.413034 | + | 1.31296i | ||||
\(457\) | −31.6536 | − | 18.2752i | −1.48069 | − | 0.854878i | −0.480931 | − | 0.876758i | \(-0.659701\pi\) |
−0.999761 | + | 0.0218806i | \(0.993035\pi\) | |||||||
\(458\) | −5.17754 | − | 2.98925i | −0.241931 | − | 0.139679i | ||||
\(459\) | −0.853614 | + | 0.351622i | −0.0398433 | + | 0.0164123i | ||||
\(460\) | −0.182663 | + | 1.00601i | −0.00851671 | + | 0.0469054i | ||||
\(461\) | −9.65949 | − | 16.7307i | −0.449887 | − | 0.779228i | 0.548491 | − | 0.836156i | \(-0.315202\pi\) |
−0.998378 | + | 0.0569289i | \(0.981869\pi\) | |||||||
\(462\) | −15.4871 | − | 21.7893i | −0.720527 | − | 1.01373i | ||||
\(463\) | −27.7204 | − | 16.0044i | −1.28828 | − | 0.743787i | −0.309931 | − | 0.950759i | \(-0.600306\pi\) |
−0.978347 | + | 0.206972i | \(0.933639\pi\) | |||||||
\(464\) | 20.5648i | 0.954696i | ||||||||
\(465\) | 6.47378 | − | 15.3790i | 0.300214 | − | 0.713185i | ||||
\(466\) | −3.52038 | −0.163079 | ||||||||
\(467\) | −17.3160 | + | 9.99738i | −0.801288 | + | 0.462624i | −0.843921 | − | 0.536467i | \(-0.819759\pi\) |
0.0426334 | + | 0.999091i | \(0.486425\pi\) | |||||||
\(468\) | −2.01113 | − | 0.941003i | −0.0929646 | − | 0.0434979i | ||||
\(469\) | 0.126688 | + | 0.391265i | 0.00584990 | + | 0.0180670i | ||||
\(470\) | −20.9656 | − | 3.80677i | −0.967072 | − | 0.175593i | ||||
\(471\) | −6.25702 | + | 1.96834i | −0.288308 | + | 0.0906965i | ||||
\(472\) | 3.44077 | + | 5.95959i | 0.158374 | + | 0.274312i | ||||
\(473\) | 12.0751 | + | 20.9147i | 0.555215 | + | 0.961661i | ||||
\(474\) | 24.4531 | − | 7.69249i | 1.12317 | − | 0.353328i | ||||
\(475\) | 17.5429 | + | 21.3437i | 0.804924 | + | 0.979317i | ||||
\(476\) | −0.254228 | − | 0.0543094i | −0.0116525 | − | 0.00248927i | ||||
\(477\) | −10.4712 | + | 7.31165i | −0.479442 | + | 0.334777i | ||||
\(478\) | 21.6476 | − | 12.4983i | 0.990139 | − | 0.571657i | ||||
\(479\) | −11.7517 | −0.536948 | −0.268474 | − | 0.963287i | \(-0.586519\pi\) | ||||
−0.268474 | + | 0.963287i | \(0.586519\pi\) | |||||||
\(480\) | −10.8119 | − | 4.55126i | −0.493494 | − | 0.207735i | ||||
\(481\) | − | 11.0423i | − | 0.503484i | ||||||
\(482\) | 2.47361 | + | 1.42814i | 0.112670 | + | 0.0650500i | ||||
\(483\) | 3.44516 | + | 1.57702i | 0.156760 | + | 0.0717570i | ||||
\(484\) | −3.46142 | − | 5.99535i | −0.157337 | − | 0.272516i | ||||
\(485\) | 1.21601 | − | 6.69713i | 0.0552162 | − | 0.304101i | ||||
\(486\) | −0.879038 | + | 18.7307i | −0.0398740 | + | 0.849643i | ||||
\(487\) | −21.2046 | − | 12.2425i | −0.960873 | − | 0.554760i | −0.0644315 | − | 0.997922i | \(-0.520523\pi\) |
−0.896442 | + | 0.443162i | \(0.853857\pi\) | |||||||
\(488\) | 30.4545 | + | 17.5829i | 1.37861 | + | 0.795942i | ||||
\(489\) | 0.854476 | + | 2.71623i | 0.0386407 | + | 0.122832i | ||||
\(490\) | 18.7727 | + | 1.44722i | 0.848062 | + | 0.0653788i | ||||
\(491\) | −1.14468 | − | 0.660881i | −0.0516587 | − | 0.0298252i | 0.473948 | − | 0.880553i | \(-0.342828\pi\) |
−0.525607 | + | 0.850728i | \(0.676162\pi\) | |||||||
\(492\) | 0.115616 | − | 0.519906i | 0.00521239 | − | 0.0234392i | ||||
\(493\) | −1.41175 | −0.0635821 | ||||||||
\(494\) | 7.70366 | + | 4.44771i | 0.346604 | + | 0.200112i | ||||
\(495\) | 29.5709 | − | 13.5599i | 1.32911 | − | 0.609470i | ||||
\(496\) | − | 11.1503i | − | 0.500664i | ||||||
\(497\) | 26.7370 | + | 5.71169i | 1.19932 | + | 0.256204i | ||||
\(498\) | 34.0126 | + | 7.56370i | 1.52414 | + | 0.338937i | ||||
\(499\) | 17.5038 | 0.783579 | 0.391789 | − | 0.920055i | \(-0.371856\pi\) | ||||
0.391789 | + | 0.920055i | \(0.371856\pi\) | |||||||
\(500\) | −6.18238 | − | 0.0942719i | −0.276484 | − | 0.00421597i | ||||
\(501\) | −4.27266 | + | 4.65669i | −0.190889 | + | 0.208046i | ||||
\(502\) | −6.29726 | + | 10.9072i | −0.281060 | + | 0.486811i | ||||
\(503\) | − | 4.31586i | − | 0.192435i | −0.995360 | − | 0.0962174i | \(-0.969326\pi\) | ||
0.995360 | − | 0.0962174i | \(-0.0306744\pi\) | |||||||
\(504\) | −14.7149 | + | 19.4331i | −0.655453 | + | 0.865617i | ||||
\(505\) | −20.6602 | − | 17.5157i | −0.919367 | − | 0.779437i | ||||
\(506\) | −4.17704 | − | 2.41162i | −0.185692 | − | 0.107209i | ||||
\(507\) | 18.5197 | − | 5.82595i | 0.822487 | − | 0.258739i | ||||
\(508\) | −3.89905 | + | 2.25112i | −0.172992 | + | 0.0998771i | ||||
\(509\) | 6.83736 | 0.303061 | 0.151530 | − | 0.988453i | \(-0.451580\pi\) | ||||
0.151530 | + | 0.988453i | \(0.451580\pi\) | |||||||
\(510\) | −0.321138 | + | 0.762892i | −0.0142202 | + | 0.0337814i | ||||
\(511\) | −20.7748 | − | 18.7442i | −0.919023 | − | 0.829195i | ||||
\(512\) | −23.7352 | −1.04896 | ||||||||
\(513\) | −3.80337 | + | 28.4589i | −0.167923 | + | 1.25649i | ||||
\(514\) | 10.3583 | + | 5.98035i | 0.456883 | + | 0.263782i | ||||
\(515\) | −12.9191 | − | 10.9528i | −0.569285 | − | 0.482638i | ||||
\(516\) | 3.22498 | − | 3.51484i | 0.141972 | − | 0.154732i | ||||
\(517\) | −19.2091 | + | 33.2711i | −0.844814 | + | 1.46326i | ||||
\(518\) | −25.6797 | − | 5.48582i | −1.12830 | − | 0.241033i | ||||
\(519\) | −11.7702 | + | 12.8281i | −0.516655 | + | 0.563092i | ||||
\(520\) | −8.65188 | + | 3.09932i | −0.379410 | + | 0.135914i | ||||
\(521\) | 10.7730 | − | 18.6594i | 0.471975 | − | 0.817484i | −0.527511 | − | 0.849548i | \(-0.676875\pi\) |
0.999486 | + | 0.0320639i | \(0.0102080\pi\) | |||||||
\(522\) | −12.1523 | + | 25.9721i | −0.531890 | + | 1.13677i | ||||
\(523\) | 6.82813 | + | 11.8267i | 0.298573 | + | 0.517144i | 0.975810 | − | 0.218621i | \(-0.0701560\pi\) |
−0.677237 | + | 0.735765i | \(0.736823\pi\) | |||||||
\(524\) | 2.84602 | + | 4.92945i | 0.124329 | + | 0.215344i | ||||
\(525\) | −5.99916 | + | 22.1136i | −0.261825 | + | 0.965115i | ||||
\(526\) | 15.0951 | − | 26.1454i | 0.658176 | − | 1.13999i | ||||
\(527\) | 0.765457 | 0.0333438 | ||||||||
\(528\) | 14.6971 | − | 16.0181i | 0.639609 | − | 0.697097i | ||||
\(529\) | −22.3164 | −0.970277 | ||||||||
\(530\) | −2.04566 | + | 11.2664i | −0.0888578 | + | 0.489380i | ||||
\(531\) | 0.577152 | + | 6.69753i | 0.0250462 | + | 0.290648i | ||||
\(532\) | −5.41606 | + | 6.00279i | −0.234816 | + | 0.260254i | ||||
\(533\) | −0.372067 | − | 0.644440i | −0.0161160 | − | 0.0279138i | ||||
\(534\) | −2.26007 | + | 10.1631i | −0.0978026 | + | 0.439801i | ||||
\(535\) | 8.09261 | − | 44.5697i | 0.349874 | − | 1.92691i | ||||
\(536\) | −0.413417 | + | 0.238686i | −0.0178569 | + | 0.0103097i | ||||
\(537\) | 16.4180 | − | 17.8937i | 0.708490 | − | 0.772168i | ||||
\(538\) | −4.69517 | − | 8.13228i | −0.202423 | − | 0.350607i | ||||
\(539\) | 13.8707 | − | 30.9836i | 0.597455 | − | 1.33456i | ||||
\(540\) | −4.30766 | − | 4.76794i | −0.185372 | − | 0.205180i | ||||
\(541\) | −20.3541 | − | 35.2543i | −0.875091 | − | 1.51570i | −0.856666 | − | 0.515871i | \(-0.827468\pi\) |
−0.0184247 | − | 0.999830i | \(-0.505865\pi\) | |||||||
\(542\) | − | 22.5200i | − | 0.967316i | ||||||
\(543\) | −27.5741 | − | 6.13192i | −1.18332 | − | 0.263146i | ||||
\(544\) | − | 0.538139i | − | 0.0230725i | ||||||
\(545\) | −11.7716 | + | 4.21687i | −0.504239 | + | 0.180631i | ||||
\(546\) | 0.694782 | + | 7.34449i | 0.0297339 | + | 0.314315i | ||||
\(547\) | −7.04001 | + | 4.06455i | −0.301009 | + | 0.173788i | −0.642896 | − | 0.765953i | \(-0.722267\pi\) |
0.341887 | + | 0.939741i | \(0.388934\pi\) | |||||||
\(548\) | −0.774251 | − | 1.34104i | −0.0330744 | − | 0.0572865i | ||||
\(549\) | 19.6670 | + | 28.1655i | 0.839366 | + | 1.20208i | ||||
\(550\) | 10.2539 | − | 27.3057i | 0.437230 | − | 1.16432i | ||||
\(551\) | −21.9531 | + | 38.0238i | −0.935232 | + | 1.61987i | ||||
\(552\) | −0.954703 | + | 4.29313i | −0.0406349 | + | 0.182728i | ||||
\(553\) | 24.1689 | + | 21.8066i | 1.02777 | + | 0.927310i | ||||
\(554\) | −12.6154 | − | 7.28349i | −0.535976 | − | 0.309446i | ||||
\(555\) | 12.3980 | − | 29.4525i | 0.526265 | − | 1.25019i | ||||
\(556\) | 7.99689i | 0.339144i | ||||||||
\(557\) | −21.2535 | + | 36.8121i | −0.900538 | + | 1.55978i | −0.0737411 | + | 0.997277i | \(0.523494\pi\) |
−0.826797 | + | 0.562500i | \(0.809839\pi\) | |||||||
\(558\) | 6.58901 | − | 14.0822i | 0.278935 | − | 0.596146i | ||||
\(559\) | − | 6.66468i | − | 0.281886i | ||||||
\(560\) | 2.03833 | + | 15.1751i | 0.0861351 | + | 0.641263i | ||||
\(561\) | 1.09962 | + | 1.00894i | 0.0464262 | + | 0.0425975i | ||||
\(562\) | 39.1690i | 1.65224i | ||||||||
\(563\) | −26.9569 | + | 15.5636i | −1.13610 | + | 0.655926i | −0.945461 | − | 0.325734i | \(-0.894389\pi\) |
−0.190636 | + | 0.981661i | \(0.561055\pi\) | |||||||
\(564\) | 7.40742 | + | 1.64726i | 0.311909 | + | 0.0693621i | ||||
\(565\) | 3.09483 | − | 1.10865i | 0.130201 | − | 0.0466411i | ||||
\(566\) | −36.5312 | −1.53552 | ||||||||
\(567\) | −21.0650 | + | 11.1025i | −0.884647 | + | 0.466261i | ||||
\(568\) | 31.7350i | 1.33157i | ||||||||
\(569\) | −24.9082 | − | 14.3808i | −1.04421 | − | 0.602874i | −0.123186 | − | 0.992384i | \(-0.539311\pi\) |
−0.921022 | + | 0.389510i | \(0.872644\pi\) | |||||||
\(570\) | 15.5538 | + | 20.5126i | 0.651477 | + | 0.859179i | ||||
\(571\) | −3.11881 | − | 5.40194i | −0.130518 | − | 0.226064i | 0.793358 | − | 0.608755i | \(-0.208331\pi\) |
−0.923876 | + | 0.382691i | \(0.874997\pi\) | |||||||
\(572\) | 3.58929i | 0.150076i | ||||||||
\(573\) | 17.6805 | − | 19.2697i | 0.738615 | − | 0.805001i | ||||
\(574\) | −1.68354 | + | 0.545113i | −0.0702695 | + | 0.0227526i | ||||
\(575\) | 0.676455 | + | 4.07836i | 0.0282101 | + | 0.170079i | ||||
\(576\) | −23.9652 | − | 11.2133i | −0.998551 | − | 0.467219i | ||||
\(577\) | 10.5494 | − | 18.2721i | 0.439178 | − | 0.760679i | −0.558448 | − | 0.829540i | \(-0.688603\pi\) |
0.997626 | + | 0.0688603i | \(0.0219363\pi\) | |||||||
\(578\) | 20.4113 | 0.848999 | ||||||||
\(579\) | −0.886030 | − | 2.81653i | −0.0368221 | − | 0.117051i | ||||
\(580\) | −3.31375 | − | 9.25048i | −0.137596 | − | 0.384105i | ||||
\(581\) | 13.6299 | + | 42.0950i | 0.565465 | + | 1.74639i | ||||
\(582\) | 1.37673 | − | 6.19092i | 0.0570674 | − | 0.256622i | ||||
\(583\) | 17.8790 | + | 10.3225i | 0.740473 | + | 0.427512i | ||||
\(584\) | 16.2394 | − | 28.1275i | 0.671992 | − | 1.16392i | ||||
\(585\) | −8.93832 | − | 0.839565i | −0.369554 | − | 0.0347117i | ||||
\(586\) | −29.5000 | + | 17.0318i | −1.21863 | + | 0.703579i | ||||
\(587\) | −4.05248 | + | 2.33970i | −0.167264 | + | 0.0965697i | −0.581295 | − | 0.813693i | \(-0.697454\pi\) |
0.414031 | + | 0.910263i | \(0.364120\pi\) | |||||||
\(588\) | −6.66000 | − | 0.777010i | −0.274654 | − | 0.0320434i | ||||
\(589\) | 11.9030 | − | 20.6167i | 0.490456 | − | 0.849495i | ||||
\(590\) | 4.59734 | + | 3.89761i | 0.189269 | + | 0.160462i | ||||
\(591\) | −0.647156 | + | 2.91014i | −0.0266204 | + | 0.119707i | ||||
\(592\) | − | 21.3541i | − | 0.877646i | ||||||
\(593\) | 20.4747 | − | 11.8211i | 0.840795 | − | 0.485433i | −0.0167392 | − | 0.999860i | \(-0.505328\pi\) |
0.857534 | + | 0.514426i | \(0.171995\pi\) | |||||||
\(594\) | 28.0270 | − | 11.5450i | 1.14996 | − | 0.473695i | ||||
\(595\) | −1.04175 | + | 0.139929i | −0.0427077 | + | 0.00573653i | ||||
\(596\) | −2.90036 | + | 1.67452i | −0.118803 | + | 0.0685911i | ||||
\(597\) | 29.8756 | − | 32.5608i | 1.22273 | − | 1.33262i | ||||
\(598\) | 0.665527 | + | 1.15273i | 0.0272154 | + | 0.0471385i | ||||
\(599\) | −3.72589 | + | 2.15114i | −0.152236 | + | 0.0878932i | −0.574183 | − | 0.818727i | \(-0.694680\pi\) |
0.421947 | + | 0.906620i | \(0.361347\pi\) | |||||||
\(600\) | −26.5566 | − | 1.44745i | −1.08417 | − | 0.0590920i | ||||
\(601\) | −15.0355 | + | 8.68073i | −0.613309 | + | 0.354094i | −0.774260 | − | 0.632868i | \(-0.781877\pi\) |
0.160950 | + | 0.986963i | \(0.448544\pi\) | |||||||
\(602\) | −15.4992 | − | 3.31103i | −0.631702 | − | 0.134947i | ||||
\(603\) | −0.464608 | + | 0.0400370i | −0.0189203 | + | 0.00163043i | ||||
\(604\) | −3.95788 | − | 6.85525i | −0.161044 | − | 0.278936i | ||||
\(605\) | −21.3506 | − | 18.1010i | −0.868026 | − | 0.735910i | ||||
\(606\) | −18.5959 | − | 17.0624i | −0.755408 | − | 0.693112i | ||||
\(607\) | 24.5149 | 0.995027 | 0.497514 | − | 0.867456i | \(-0.334246\pi\) | ||||
0.497514 | + | 0.867456i | \(0.334246\pi\) | |||||||
\(608\) | −14.4941 | − | 8.36818i | −0.587814 | − | 0.339375i | ||||
\(609\) | −36.2510 | + | 3.42931i | −1.46897 | + | 0.138963i | ||||
\(610\) | 30.3045 | + | 5.50245i | 1.22699 | + | 0.222788i | ||||
\(611\) | 9.18173 | − | 5.30107i | 0.371453 | − | 0.214459i | ||||
\(612\) | 0.124924 | − | 0.266991i | 0.00504977 | − | 0.0107925i | ||||
\(613\) | 5.95742 | + | 3.43952i | 0.240618 | + | 0.138921i | 0.615461 | − | 0.788168i | \(-0.288970\pi\) |
−0.374843 | + | 0.927088i | \(0.622303\pi\) | |||||||
\(614\) | 10.3960 | − | 18.0064i | 0.419549 | − | 0.726680i | ||||
\(615\) | −0.268836 | − | 2.13663i | −0.0108405 | − | 0.0861572i | ||||
\(616\) | 38.5340 | + | 8.23183i | 1.55258 | + | 0.331670i | ||||
\(617\) | 13.5669 | − | 23.4986i | 0.546184 | − | 0.946018i | −0.452348 | − | 0.891842i | \(-0.649413\pi\) |
0.998531 | − | 0.0541761i | \(-0.0172532\pi\) | |||||||
\(618\) | −11.6283 | − | 10.6694i | −0.467760 | − | 0.429185i | ||||
\(619\) | 7.46176i | 0.299913i | 0.988693 | + | 0.149957i | \(0.0479134\pi\) | ||||
−0.988693 | + | 0.149957i | \(0.952087\pi\) | |||||||
\(620\) | 1.79673 | + | 5.01565i | 0.0721584 | + | 0.201433i | ||||
\(621\) | −2.62207 | + | 3.40333i | −0.105220 | + | 0.136571i | ||||
\(622\) | 18.0278 | 0.722848 | ||||||||
\(623\) | −12.5782 | + | 4.07269i | −0.503934 | + | 0.163169i | ||||
\(624\) | −5.72276 | + | 1.80027i | −0.229094 | + | 0.0720687i | ||||
\(625\) | −23.6613 | + | 8.07118i | −0.946451 | + | 0.322847i | ||||
\(626\) | 8.10550 | + | 14.0391i | 0.323961 | + | 0.561117i | ||||
\(627\) | 44.2740 | − | 13.9278i | 1.76813 | − | 0.556222i | ||||
\(628\) | 1.04718 | − | 1.81376i | 0.0417869 | − | 0.0723770i | ||||
\(629\) | 1.46593 | 0.0584506 | ||||||||
\(630\) | −6.39305 | + | 20.3697i | −0.254705 | + | 0.811547i | ||||
\(631\) | 24.0063 | 0.955675 | 0.477838 | − | 0.878448i | \(-0.341421\pi\) | ||||
0.477838 | + | 0.878448i | \(0.341421\pi\) | |||||||
\(632\) | −18.8926 | + | 32.7229i | −0.751505 | + | 1.30165i | ||||
\(633\) | −0.119878 | − | 0.109992i | −0.00476473 | − | 0.00437179i | ||||
\(634\) | −0.471870 | − | 0.817302i | −0.0187403 | − | 0.0324592i | ||||
\(635\) | −11.7719 | + | 13.8853i | −0.467153 | + | 0.551019i | ||||
\(636\) | 0.885193 | − | 3.98056i | 0.0351002 | − | 0.157839i | ||||
\(637\) | −7.59026 | + | 5.49097i | −0.300737 | + | 0.217560i | ||||
\(638\) | 46.3526 | 1.83512 | ||||||||
\(639\) | −13.1382 | + | 28.0793i | −0.519740 | + | 1.11080i | ||||
\(640\) | −9.58094 | + | 3.43213i | −0.378720 | + | 0.135667i | ||||
\(641\) | − | 1.01519i | − | 0.0400977i | −0.999799 | − | 0.0200489i | \(-0.993618\pi\) | ||
0.999799 | − | 0.0200489i | \(-0.00638218\pi\) | |||||||
\(642\) | 9.16222 | − | 41.2009i | 0.361604 | − | 1.62607i | ||||
\(643\) | 11.6653 | − | 20.2050i | 0.460036 | − | 0.796806i | −0.538926 | − | 0.842353i | \(-0.681170\pi\) |
0.998962 | + | 0.0455470i | \(0.0145031\pi\) | |||||||
\(644\) | −1.15096 | + | 0.372669i | −0.0453541 | + | 0.0146852i | ||||
\(645\) | 7.48294 | − | 17.7764i | 0.294640 | − | 0.699944i | ||||
\(646\) | −0.590462 | + | 1.02271i | −0.0232314 | + | 0.0402380i | ||||
\(647\) | −7.50341 | − | 4.33210i | −0.294990 | − | 0.170312i | 0.345200 | − | 0.938529i | \(-0.387811\pi\) |
−0.640190 | + | 0.768217i | \(0.721144\pi\) | |||||||
\(648\) | −17.7109 | − | 21.2193i | −0.695751 | − | 0.833572i | ||||
\(649\) | 9.41088 | − | 5.43338i | 0.369409 | − | 0.213279i | ||||
\(650\) | −6.21837 | + | 5.11103i | −0.243905 | + | 0.200471i | ||||
\(651\) | 19.6554 | − | 1.85939i | 0.770358 | − | 0.0728752i | ||||
\(652\) | −0.787370 | − | 0.454589i | −0.0308358 | − | 0.0178031i | ||||
\(653\) | 8.61151 | 0.336995 | 0.168497 | − | 0.985702i | \(-0.446109\pi\) | ||||
0.168497 | + | 0.985702i | \(0.446109\pi\) | |||||||
\(654\) | −11.1139 | + | 3.49622i | −0.434587 | + | 0.136713i | ||||
\(655\) | 17.5547 | + | 14.8829i | 0.685920 | + | 0.581522i | ||||
\(656\) | −0.719521 | − | 1.24625i | −0.0280926 | − | 0.0486578i | ||||
\(657\) | 26.0134 | − | 18.1642i | 1.01488 | − | 0.708654i | ||||
\(658\) | −7.76656 | − | 23.9864i | −0.302772 | − | 0.935088i | ||||
\(659\) | 9.77598 | − | 5.64416i | 0.380818 | − | 0.219865i | −0.297356 | − | 0.954767i | \(-0.596105\pi\) |
0.678174 | + | 0.734901i | \(0.262772\pi\) | |||||||
\(660\) | −4.02996 | + | 9.57352i | −0.156866 | + | 0.372649i | ||||
\(661\) | −25.6911 | + | 14.8328i | −0.999268 | + | 0.576928i | −0.908032 | − | 0.418901i | \(-0.862415\pi\) |
−0.0912365 | + | 0.995829i | \(0.529082\pi\) | |||||||
\(662\) | −0.599026 | − | 1.03754i | −0.0232818 | − | 0.0403253i | ||||
\(663\) | −0.123587 | − | 0.392862i | −0.00479972 | − | 0.0152575i | ||||
\(664\) | −44.4782 | + | 25.6795i | −1.72609 | + | 0.996558i | ||||
\(665\) | −12.4307 | + | 30.2342i | −0.482040 | + | 1.17243i | ||||
\(666\) | 12.6187 | − | 26.9689i | 0.488963 | − | 1.04502i | ||||
\(667\) | −5.68964 | + | 3.28492i | −0.220304 | + | 0.127192i | ||||
\(668\) | − | 2.01789i | − | 0.0780744i | ||||||
\(669\) | 17.2341 | − | 5.42153i | 0.666308 | − | 0.209608i | ||||
\(670\) | −0.270378 | + | 0.318918i | −0.0104456 | + | 0.0123209i | ||||
\(671\) | 27.7655 | − | 48.0912i | 1.07187 | − | 1.85654i | ||||
\(672\) | −1.30720 | − | 13.8184i | −0.0504265 | − | 0.533055i | ||||
\(673\) | −32.0418 | + | 18.4993i | −1.23512 | + | 0.713097i | −0.968093 | − | 0.250592i | \(-0.919375\pi\) |
−0.267027 | + | 0.963689i | \(0.586041\pi\) | |||||||
\(674\) | 2.02228 | − | 1.16756i | 0.0778953 | − | 0.0449729i | ||||
\(675\) | −22.8981 | − | 12.2751i | −0.881348 | − | 0.472467i | ||||
\(676\) | −3.09945 | + | 5.36841i | −0.119210 | + | 0.206477i | ||||
\(677\) | −4.82344 | − | 2.78481i | −0.185380 | − | 0.107029i | 0.404438 | − | 0.914565i | \(-0.367467\pi\) |
−0.589818 | + | 0.807536i | \(0.700800\pi\) | |||||||
\(678\) | 2.92192 | − | 0.919182i | 0.112216 | − | 0.0353010i | ||||
\(679\) | 7.66207 | − | 2.48090i | 0.294043 | − | 0.0952083i | ||||
\(680\) | −0.411455 | − | 1.14859i | −0.0157786 | − | 0.0440466i | ||||
\(681\) | 1.02856 | + | 0.228730i | 0.0394144 | + | 0.00876495i | ||||
\(682\) | −25.1326 | −0.962376 | ||||||||
\(683\) | −4.18195 | + | 7.24335i | −0.160018 | + | 0.277159i | −0.934875 | − | 0.354977i | \(-0.884489\pi\) |
0.774857 | + | 0.632137i | \(0.217822\pi\) | |||||||
\(684\) | −5.24847 | − | 7.51646i | −0.200680 | − | 0.287399i | ||||
\(685\) | −4.77571 | − | 4.04884i | −0.182471 | − | 0.154698i | ||||
\(686\) | 8.99883 | + | 20.3797i | 0.343577 | + | 0.778099i | ||||
\(687\) | 8.40316 | + | 1.86869i | 0.320601 | + | 0.0712950i | ||||
\(688\) | − | 12.8885i | − | 0.491368i | ||||||
\(689\) | −2.84866 | − | 4.93402i | −0.108525 | − | 0.187971i | ||||
\(690\) | 0.480874 | + | 3.82185i | 0.0183066 | + | 0.145495i | ||||
\(691\) | 36.2384 | + | 20.9222i | 1.37857 | + | 0.795920i | 0.991988 | − | 0.126334i | \(-0.0403210\pi\) |
0.386586 | + | 0.922253i | \(0.373654\pi\) | |||||||
\(692\) | − | 5.55882i | − | 0.211315i | ||||||
\(693\) | 30.6870 | + | 23.2365i | 1.16570 | + | 0.882682i | ||||
\(694\) | −1.84187 | −0.0699164 | ||||||||
\(695\) | 10.9042 | + | 30.4395i | 0.413620 | + | 1.15464i | ||||
\(696\) | −12.6833 | − | 40.3181i | −0.480761 | − | 1.52825i | ||||
\(697\) | 0.0855536 | − | 0.0493944i | 0.00324057 | − | 0.00187095i | ||||
\(698\) | − | 10.5295i | − | 0.398548i | ||||||
\(699\) | 4.83537 | − | 1.52112i | 0.182891 | − | 0.0575340i | ||||
\(700\) | −3.36215 | − | 6.49761i | −0.127077 | − | 0.245587i | ||||
\(701\) | 15.3454i | 0.579588i | 0.957089 | + | 0.289794i | \(0.0935868\pi\) | ||||
−0.957089 | + | 0.289794i | \(0.906413\pi\) | |||||||
\(702\) | −8.29133 | − | 1.10809i | −0.312936 | − | 0.0418222i | ||||
\(703\) | 22.7956 | − | 39.4831i | 0.859753 | − | 1.48914i | ||||
\(704\) | 42.7710i | 1.61199i | ||||||||
\(705\) | 30.4419 | − | 3.83027i | 1.14651 | − | 0.144256i | ||||
\(706\) | 3.13744 | + | 1.81140i | 0.118079 | + | 0.0681730i | ||||
\(707\) | 6.69527 | − | 31.3412i | 0.251802 | − | 1.17871i | ||||
\(708\) | −1.58155 | − | 1.45112i | −0.0594383 | − | 0.0545365i | ||||
\(709\) | 21.9874 | − | 38.0833i | 0.825753 | − | 1.43025i | −0.0755890 | − | 0.997139i | \(-0.524084\pi\) |
0.901342 | − | 0.433107i | \(-0.142583\pi\) | |||||||
\(710\) | 9.37360 | + | 26.1668i | 0.351785 | + | 0.982022i | ||||
\(711\) | −30.2633 | + | 21.1318i | −1.13496 | + | 0.792505i | ||||
\(712\) | −7.67315 | − | 13.2903i | −0.287564 | − | 0.498075i | ||||
\(713\) | 3.08495 | − | 1.78109i | 0.115532 | − | 0.0667025i | ||||
\(714\) | −0.975029 | + | 0.0922369i | −0.0364895 | + | 0.00345188i | ||||
\(715\) | 4.89419 | + | 13.6623i | 0.183032 | + | 0.510942i | ||||
\(716\) | 7.75387i | 0.289776i | ||||||||
\(717\) | −24.3334 | + | 26.5205i | −0.908748 | + | 0.990427i | ||||
\(718\) | − | 24.6896i | − | 0.921409i | ||||||
\(719\) | −17.9724 | − | 31.1291i | −0.670257 | − | 1.16092i | −0.977831 | − | 0.209395i | \(-0.932850\pi\) |
0.307574 | − | 0.951524i | \(-0.400483\pi\) | |||||||
\(720\) | −17.2853 | − | 1.62359i | −0.644187 | − | 0.0605076i | ||||
\(721\) | 4.18665 | − | 19.5981i | 0.155919 | − | 0.729873i | ||||
\(722\) | 6.93611 | + | 12.0137i | 0.258135 | + | 0.447103i | ||||
\(723\) | −4.01468 | − | 0.892782i | −0.149308 | − | 0.0332029i | ||||
\(724\) | 7.81096 | − | 4.50966i | 0.290292 | − | 0.167600i | ||||
\(725\) | −25.2271 | − | 30.6927i | −0.936910 | − | 1.13990i | ||||
\(726\) | −19.2174 | − | 17.6326i | −0.713223 | − | 0.654406i | ||||
\(727\) | 8.52472 | + | 14.7652i | 0.316164 | + | 0.547612i | 0.979684 | − | 0.200546i | \(-0.0642716\pi\) |
−0.663520 | + | 0.748158i | \(0.730938\pi\) | |||||||
\(728\) | −8.07356 | − | 7.28442i | −0.299226 | − | 0.269979i | ||||
\(729\) | −6.88595 | − | 26.1072i | −0.255035 | − | 0.966932i | ||||
\(730\) | 5.08200 | − | 27.9889i | 0.188093 | − | 1.03591i | ||||
\(731\) | 0.884780 | 0.0327248 | ||||||||
\(732\) | −10.7070 | − | 2.38101i | −0.395741 | − | 0.0880045i | ||||
\(733\) | 28.3240 | 1.04617 | 0.523086 | − | 0.852280i | \(-0.324781\pi\) | ||||
0.523086 | + | 0.852280i | \(0.324781\pi\) | |||||||
\(734\) | 5.10485 | − | 8.84186i | 0.188423 | − | 0.326359i | ||||
\(735\) | −26.4102 | + | 6.12365i | −0.974157 | + | 0.225874i | ||||
\(736\) | −1.25216 | − | 2.16881i | −0.0461553 | − | 0.0799433i | ||||
\(737\) | 0.376913 | + | 0.652833i | 0.0138838 | + | 0.0240474i | ||||
\(738\) | −0.172272 | − | 1.99912i | −0.00634140 | − | 0.0735886i | ||||
\(739\) | −19.2000 | + | 33.2554i | −0.706283 | + | 1.22332i | 0.259943 | + | 0.965624i | \(0.416296\pi\) |
−0.966226 | + | 0.257695i | \(0.917037\pi\) | |||||||
\(740\) | 3.44093 | + | 9.60551i | 0.126491 | + | 0.353105i | ||||
\(741\) | −12.5031 | − | 2.78042i | −0.459311 | − | 0.102141i | ||||
\(742\) | −12.8897 | + | 4.17355i | −0.473195 | + | 0.153216i | ||||
\(743\) | 16.8404 | − | 29.1685i | 0.617815 | − | 1.07009i | −0.372068 | − | 0.928205i | \(-0.621351\pi\) |
0.989884 | − | 0.141882i | \(-0.0453154\pi\) | |||||||
\(744\) | 6.87696 | + | 21.8606i | 0.252121 | + | 0.801450i | ||||
\(745\) | −8.75667 | + | 10.3287i | −0.320820 | + | 0.378415i | ||||
\(746\) | 6.04725 | + | 3.49138i | 0.221406 | + | 0.127829i | ||||
\(747\) | −49.9857 | + | 4.30746i | −1.82888 | + | 0.157602i | ||||
\(748\) | −0.476501 | −0.0174226 | ||||||||
\(749\) | 50.9914 | − | 16.5105i | 1.86319 | − | 0.603281i | ||||
\(750\) | −22.3245 | + | 6.65055i | −0.815175 | + | 0.242844i | ||||
\(751\) | −0.226011 | −0.00824726 | −0.00412363 | − | 0.999991i | \(-0.501313\pi\) | ||||
−0.00412363 | + | 0.999991i | \(0.501313\pi\) | |||||||
\(752\) | 17.7561 | − | 10.2515i | 0.647497 | − | 0.373832i | ||||
\(753\) | 3.93664 | − | 17.7024i | 0.143459 | − | 0.645110i | ||||
\(754\) | −11.0780 | − | 6.39590i | −0.403438 | − | 0.232925i | ||||
\(755\) | −24.4129 | − | 20.6972i | −0.888475 | − | 0.753247i | ||||
\(756\) | 2.55926 | − | 7.15926i | 0.0930794 | − | 0.260380i | ||||
\(757\) | 34.2892i | 1.24626i | 0.782117 | + | 0.623132i | \(0.214140\pi\) | ||||
−0.782117 | + | 0.623132i | \(0.785860\pi\) | |||||||
\(758\) | 20.0805 | − | 34.7804i | 0.729356 | − | 1.26328i | ||||
\(759\) | 6.77935 | + | 1.50759i | 0.246075 | + | 0.0547219i | ||||
\(760\) | −37.3342 | − | 6.77886i | −1.35425 | − | 0.245895i | ||||
\(761\) | −32.3061 | −1.17110 | −0.585548 | − | 0.810637i | \(-0.699121\pi\) | ||||
−0.585548 | + | 0.810637i | \(0.699121\pi\) | |||||||
\(762\) | −11.4672 | + | 12.4979i | −0.415414 | + | 0.452752i | ||||
\(763\) | −10.9847 | − | 9.91103i | −0.397673 | − | 0.358804i | ||||
\(764\) | 8.35013i | 0.302097i | ||||||||
\(765\) | 0.111458 | − | 1.18662i | 0.00402976 | − | 0.0429024i | ||||
\(766\) | −14.2729 | − | 8.24048i | −0.515702 | − | 0.297741i | ||||
\(767\) | −2.99887 | −0.108283 | ||||||||
\(768\) | 20.0983 | − | 6.32256i | 0.725236 | − | 0.228146i | ||||
\(769\) | 27.8876 | + | 16.1009i | 1.00565 | + | 0.580614i | 0.909916 | − | 0.414793i | \(-0.136146\pi\) |
0.0957371 | + | 0.995407i | \(0.469479\pi\) | |||||||
\(770\) | 34.2043 | − | 4.59435i | 1.23264 | − | 0.165569i | ||||
\(771\) | −16.8115 | − | 3.73853i | −0.605451 | − | 0.134640i | ||||
\(772\) | 0.816446 | + | 0.471375i | 0.0293845 | + | 0.0169652i | ||||
\(773\) | 2.36050 | + | 1.36284i | 0.0849014 | + | 0.0490178i | 0.541850 | − | 0.840475i | \(-0.317724\pi\) |
−0.456948 | + | 0.889493i | \(0.651058\pi\) | |||||||
\(774\) | 7.61613 | − | 16.2774i | 0.273756 | − | 0.585077i | ||||
\(775\) | 13.6782 | + | 16.6417i | 0.491336 | + | 0.597788i | ||||
\(776\) | 4.67415 | + | 8.09587i | 0.167792 | + | 0.290625i | ||||
\(777\) | 37.6423 | − | 3.56093i | 1.35041 | − | 0.127748i | ||||
\(778\) | 1.16247 | + | 0.671154i | 0.0416767 | + | 0.0240621i | ||||
\(779\) | − | 3.07238i | − | 0.110079i | ||||||
\(780\) | 2.28413 | − | 1.73195i | 0.0817849 | − | 0.0620138i | ||||
\(781\) | 50.1133 | 1.79320 | ||||||||
\(782\) | −0.153032 | + | 0.0883530i | −0.00547241 | + | 0.00315950i | ||||
\(783\) | 5.46933 | − | 40.9244i | 0.195458 | − | 1.46252i | ||||
\(784\) | −14.6784 | + | 10.6187i | −0.524228 | + | 0.379239i | ||||
\(785\) | 1.51283 | − | 8.33182i | 0.0539951 | − | 0.297375i | ||||
\(786\) | 15.8008 | + | 14.4977i | 0.563594 | + | 0.517116i | ||||
\(787\) | 10.9287 | + | 18.9291i | 0.389566 | + | 0.674749i | 0.992391 | − | 0.123125i | \(-0.0392916\pi\) |
−0.602825 | + | 0.797874i | \(0.705958\pi\) | |||||||
\(788\) | −0.475945 | − | 0.824361i | −0.0169548 | − | 0.0293666i | ||||
\(789\) | −9.43646 | + | 42.4341i | −0.335947 | + | 1.51069i | ||||
\(790\) | −5.91228 | + | 32.5616i | −0.210349 | + | 1.15849i | ||||
\(791\) | 2.88796 | + | 2.60568i | 0.102684 | + | 0.0926475i | ||||
\(792\) | −18.9351 | + | 40.4685i | −0.672831 | + | 1.43799i | ||||
\(793\) | −13.2716 | + | 7.66237i | −0.471289 | + | 0.272099i | ||||
\(794\) | 33.4841 | 1.18831 | ||||||||
\(795\) | −2.05829 | − | 16.3587i | −0.0730000 | − | 0.580182i | ||||
\(796\) | 14.1096i | 0.500101i | ||||||||
\(797\) | 25.7774 | + | 14.8826i | 0.913081 | + | 0.527167i | 0.881421 | − | 0.472331i | \(-0.156587\pi\) |
0.0316595 | + | 0.999499i | \(0.489921\pi\) | |||||||
\(798\) | −12.6776 | + | 27.6955i | −0.448783 | + | 0.980411i | ||||
\(799\) | 0.703752 | + | 1.21893i | 0.0248970 | + | 0.0431228i | ||||
\(800\) | 11.6996 | − | 9.61619i | 0.413644 | − | 0.339984i | ||||
\(801\) | −1.28709 | − | 14.9359i | −0.0454770 | − | 0.527736i | ||||
\(802\) | 25.5939 | + | 14.7766i | 0.903751 | + | 0.521781i | ||||
\(803\) | −44.4166 | − | 25.6439i | −1.56743 | − | 0.904954i | ||||
\(804\) | 0.100664 | − | 0.109712i | 0.00355016 | − | 0.00386925i | ||||
\(805\) | −3.87288 | + | 2.98793i | −0.136501 | + | 0.105311i | ||||
\(806\) | 6.00655 | + | 3.46788i | 0.211572 | + | 0.122151i | ||||
\(807\) | 9.96286 | + | 9.14125i | 0.350709 | + | 0.321787i | ||||
\(808\) | 37.2000 | 1.30869 | ||||||||
\(809\) | −47.4017 | − | 27.3674i | −1.66655 | − | 0.962185i | −0.969475 | − | 0.245190i | \(-0.921150\pi\) |
−0.697079 | − | 0.716995i | \(-0.745517\pi\) | |||||||
\(810\) | −20.8709 | − | 12.2649i | −0.733329 | − | 0.430943i | ||||
\(811\) | − | 27.7732i | − | 0.975250i | −0.873053 | − | 0.487625i | \(-0.837863\pi\) | ||
0.873053 | − | 0.487625i | \(-0.162137\pi\) | |||||||
\(812\) | 7.78841 | − | 8.63214i | 0.273320 | − | 0.302929i | ||||
\(813\) | 9.73064 | + | 30.9320i | 0.341269 | + | 1.08483i | ||||
\(814\) | −48.1316 | −1.68701 | ||||||||
\(815\) | −3.61692 | − | 0.656732i | −0.126695 | − | 0.0230043i | ||||
\(816\) | −0.238998 | − | 0.759734i | −0.00836661 | − | 0.0265960i | ||||
\(817\) | 13.7585 | − | 23.8305i | 0.481350 | − | 0.833723i | ||||
\(818\) | 9.96869i | 0.348547i | ||||||||
\(819\) | −4.12778 | − | 9.78771i | −0.144236 | − | 0.342010i | ||||
\(820\) | 0.524473 | + | 0.444647i | 0.0183154 | + | 0.0155277i | ||||
\(821\) | 7.37054 | + | 4.25538i | 0.257234 | + | 0.148514i | 0.623072 | − | 0.782165i | \(-0.285884\pi\) |
−0.365838 | + | 0.930678i | \(0.619218\pi\) | |||||||
\(822\) | −4.29855 | − | 3.94406i | −0.149929 | − | 0.137565i | ||||
\(823\) | 40.6898 | − | 23.4923i | 1.41836 | − | 0.818889i | 0.422202 | − | 0.906502i | \(-0.361257\pi\) |
0.996155 | + | 0.0876130i | \(0.0279239\pi\) | |||||||
\(824\) | 23.2617 | 0.810360 | ||||||||
\(825\) | −2.28570 | + | 41.9359i | −0.0795777 | + | 1.46002i | ||||
\(826\) | −1.48984 | + | 6.97410i | −0.0518383 | + | 0.242660i | ||||
\(827\) | −41.3483 | −1.43782 | −0.718910 | − | 0.695103i | \(-0.755359\pi\) | ||||
−0.718910 | + | 0.695103i | \(0.755359\pi\) | |||||||
\(828\) | −0.117774 | − | 1.36671i | −0.00409294 | − | 0.0474963i | ||||
\(829\) | −25.5639 | − | 14.7593i | −0.887871 | − | 0.512613i | −0.0146257 | − | 0.999893i | \(-0.504656\pi\) |
−0.873246 | + | 0.487280i | \(0.837989\pi\) | |||||||
\(830\) | −29.0891 | + | 34.3113i | −1.00970 | + | 1.19096i | ||||
\(831\) | 20.4748 | + | 4.55317i | 0.710263 | + | 0.157948i | ||||
\(832\) | 5.90169 | − | 10.2220i | 0.204604 | − | 0.354385i | ||||
\(833\) | −0.728962 | − | 1.00766i | −0.0252571 | − | 0.0349132i | ||||
\(834\) | 9.04070 | + | 28.7388i | 0.313054 | + | 0.995144i | ||||
\(835\) | −2.75150 | − | 7.68092i | −0.0952196 | − | 0.265809i | ||||
\(836\) | −7.40970 | + | 12.8340i | −0.256270 | + | 0.443872i | ||||
\(837\) | −2.96549 | + | 22.1894i | −0.102502 | + | 0.766978i | ||||
\(838\) | 10.4479 | + | 18.0963i | 0.360916 | + | 0.625125i | ||||
\(839\) | −17.1084 | − | 29.6327i | −0.590649 | − | 1.02303i | −0.994145 | − | 0.108053i | \(-0.965539\pi\) |
0.403496 | − | 0.914981i | \(-0.367795\pi\) | |||||||
\(840\) | −13.3554 | − | 28.4942i | −0.460807 | − | 0.983143i | ||||
\(841\) | 17.0690 | − | 29.5643i | 0.588585 | − | 1.01946i | ||||
\(842\) | −22.9643 | −0.791401 | ||||||||
\(843\) | −16.9245 | − | 53.8001i | −0.582911 | − | 1.85297i | ||||
\(844\) | 0.0519469 | 0.00178809 | ||||||||
\(845\) | −4.47770 | + | 24.6607i | −0.154037 | + | 0.848354i | ||||
\(846\) | 28.4827 | − | 2.45446i | 0.979255 | − | 0.0843861i | ||||
\(847\) | 6.91901 | − | 32.3886i | 0.237740 | − | 1.11288i | ||||
\(848\) | −5.50887 | − | 9.54164i | −0.189175 | − | 0.327661i | ||||
\(849\) | 50.1770 | − | 15.7847i | 1.72207 | − | 0.541731i | ||||
\(850\) | −0.678522 | − | 0.825529i | −0.0232731 | − | 0.0283154i | ||||
\(851\) | 5.90801 | − | 3.41099i | 0.202524 | − | 0.116927i | ||||
\(852\) | −2.97035 | − | 9.44222i | −0.101762 | − | 0.323485i | ||||
\(853\) | −8.99562 | − | 15.5809i | −0.308004 | − | 0.533479i | 0.669921 | − | 0.742432i | \(-0.266328\pi\) |
−0.977926 | + | 0.208953i | \(0.932994\pi\) | |||||||
\(854\) | 11.2261 | + | 34.6708i | 0.384148 | + | 1.18641i | ||||
\(855\) | −30.2270 | − | 21.4542i | −1.03374 | − | 0.733718i | ||||
\(856\) | 31.1067 | + | 53.8783i | 1.06320 | + | 1.84152i | ||||
\(857\) | 38.1025i | 1.30156i | 0.759267 | + | 0.650779i | \(0.225557\pi\) | ||||
−0.759267 | + | 0.650779i | \(0.774443\pi\) | |||||||
\(858\) | 4.05778 | + | 12.8990i | 0.138530 | + | 0.440364i | ||||
\(859\) | 36.9289i | 1.26000i | 0.776596 | + | 0.629998i | \(0.216944\pi\) | ||||
−0.776596 | + | 0.629998i | \(0.783056\pi\) | |||||||
\(860\) | 2.07681 | + | 5.79751i | 0.0708187 | + | 0.197693i | ||||
\(861\) | 2.07686 | − | 1.47617i | 0.0707793 | − | 0.0503078i | ||||
\(862\) | 7.50408 | − | 4.33248i | 0.255590 | − | 0.147565i | ||||
\(863\) | −8.62089 | − | 14.9318i | −0.293458 | − | 0.508285i | 0.681167 | − | 0.732128i | \(-0.261473\pi\) |
−0.974625 | + | 0.223844i | \(0.928140\pi\) | |||||||
\(864\) | 15.5998 | + | 2.08483i | 0.530716 | + | 0.0709273i | ||||
\(865\) | −7.57975 | − | 21.1592i | −0.257719 | − | 0.719434i | ||||
\(866\) | 8.76596 | − | 15.1831i | 0.297879 | − | 0.515942i | ||||
\(867\) | −28.0357 | + | 8.81951i | −0.952142 | + | 0.299526i | ||||
\(868\) | −4.22291 | + | 4.68038i | −0.143335 | + | 0.158863i | ||||
\(869\) | 51.6732 | + | 29.8335i | 1.75289 | + | 1.01203i | ||||
\(870\) | −22.3667 | − | 29.4976i | −0.758302 | − | 1.00006i | ||||
\(871\) | − | 0.208032i | − | 0.00704888i | ||||||
\(872\) | 8.58662 | − | 14.8725i | 0.290780 | − | 0.503645i | ||||
\(873\) | 0.784037 | + | 9.09833i | 0.0265356 | + | 0.307932i | ||||
\(874\) | 5.49564i | 0.185893i | ||||||||
\(875\) | −21.6576 | − | 20.1482i | −0.732161 | − | 0.681132i | ||||
\(876\) | −2.19907 | + | 9.88883i | −0.0742998 | + | 0.334113i | ||||
\(877\) | 37.4385i | 1.26421i | 0.774883 | + | 0.632104i | \(0.217809\pi\) | ||||
−0.774883 | + | 0.632104i | \(0.782191\pi\) | |||||||
\(878\) | −42.9058 | + | 24.7717i | −1.44800 | + | 0.836003i | ||||
\(879\) | 33.1601 | − | 36.1405i | 1.11846 | − | 1.21899i | ||||
\(880\) | 9.46461 | + | 26.4208i | 0.319052 | + | 0.890646i | ||||
\(881\) | 13.5005 | 0.454845 | 0.227422 | − | 0.973796i | \(-0.426970\pi\) | ||||
0.227422 | + | 0.973796i | \(0.426970\pi\) | |||||||
\(882\) | −24.8128 | + | 4.73693i | −0.835490 | + | 0.159501i | ||||
\(883\) | − | 42.0832i | − | 1.41621i | −0.706106 | − | 0.708107i | \(-0.749550\pi\) | ||
0.706106 | − | 0.708107i | \(-0.250450\pi\) | |||||||
\(884\) | 0.113881 | + | 0.0657493i | 0.00383024 | + | 0.00221139i | ||||
\(885\) | −7.99873 | − | 3.36705i | −0.268874 | − | 0.113182i | ||||
\(886\) | 11.2587 | + | 19.5007i | 0.378245 | + | 0.655139i | ||||
\(887\) | 0.117873i | 0.00395779i | 0.999998 | + | 0.00197889i | \(0.000629902\pi\) | ||||
−0.999998 | + | 0.00197889i | \(0.999370\pi\) | |||||||
\(888\) | 13.1701 | + | 41.8655i | 0.441960 | + | 1.40491i | ||||
\(889\) | −21.0637 | − | 4.49974i | −0.706455 | − | 0.150917i | ||||
\(890\) | −10.2524 | − | 8.69194i | −0.343660 | − | 0.291355i | ||||
\(891\) | −33.5077 | + | 27.9676i | −1.12255 | + | 0.936950i | ||||
\(892\) | −2.88430 | + | 4.99575i | −0.0965735 | + | 0.167270i | ||||
\(893\) | 43.7740 | 1.46484 | ||||||||
\(894\) | −8.53006 | + | 9.29674i | −0.285288 | + | 0.310929i | ||||
\(895\) | 10.5728 | + | 29.5145i | 0.353411 | + | 0.986561i | ||||
\(896\) | −8.94052 | − | 8.06664i | −0.298682 | − | 0.269488i | ||||
\(897\) | −1.41221 | − | 1.29574i | −0.0471522 | − | 0.0432636i | ||||
\(898\) | −30.5742 | − | 17.6520i | −1.02028 | − | 0.589056i | ||||
\(899\) | −17.1168 | + | 29.6472i | −0.570878 | + | 0.988789i | ||||
\(900\) | 8.03693 | − | 2.05499i | 0.267898 | − | 0.0684996i | ||||
\(901\) | 0.655024 | − | 0.378178i | 0.0218220 | − | 0.0125989i | ||||
\(902\) | −2.80902 | + | 1.62179i | −0.0935300 | + | 0.0539996i | ||||
\(903\) | 22.7194 | − | 2.14924i | 0.756055 | − | 0.0715222i | ||||
\(904\) | −2.25749 | + | 3.91008i | −0.0750829 | + | 0.130047i | ||||
\(905\) | 23.5826 | − | 27.8163i | 0.783913 | − | 0.924646i | ||||
\(906\) | −21.9737 | − | 20.1615i | −0.730026 | − | 0.669822i | ||||
\(907\) | 30.9106i | 1.02637i | 0.858278 | + | 0.513185i | \(0.171534\pi\) | ||||
−0.858278 | + | 0.513185i | \(0.828466\pi\) | |||||||
\(908\) | −0.291361 | + | 0.168217i | −0.00966914 | + | 0.00558248i | ||||
\(909\) | 32.9147 | + | 15.4007i | 1.09171 | + | 0.510808i | ||||
\(910\) | −8.80858 | − | 3.62160i | −0.292001 | − | 0.120055i | ||||
\(911\) | 1.06893 | − | 0.617149i | 0.0354153 | − | 0.0204471i | −0.482188 | − | 0.876068i | \(-0.660158\pi\) |
0.517603 | + | 0.855621i | \(0.326824\pi\) | |||||||
\(912\) | −24.1790 | − | 5.37691i | −0.800646 | − | 0.178047i | ||||
\(913\) | 40.5509 | + | 70.2363i | 1.34204 | + | 2.32448i | ||||
\(914\) | 38.0761 | − | 21.9832i | 1.25944 | − | 0.727140i | ||||
\(915\) | −44.0018 | + | 5.53642i | −1.45466 | + | 0.183028i | ||||
\(916\) | −2.38038 | + | 1.37431i | −0.0786498 | + | 0.0454085i | ||||
\(917\) | −5.68890 | + | 26.6303i | −0.187864 | + | 0.879410i | ||||
\(918\) | 0.147106 | − | 1.10073i | 0.00485523 | − | 0.0363294i | ||||
\(919\) | 13.9885 | + | 24.2289i | 0.461439 | + | 0.799236i | 0.999033 | − | 0.0439676i | \(-0.0139998\pi\) |
−0.537594 | + | 0.843204i | \(0.680667\pi\) | |||||||
\(920\) | −4.33084 | − | 3.67168i | −0.142784 | − | 0.121052i | ||||
\(921\) | −6.49892 | + | 29.2245i | −0.214147 | + | 0.962979i | ||||
\(922\) | 23.2388 | 0.765329 | ||||||||
\(923\) | −11.9768 | − | 6.91481i | −0.394221 | − | 0.227604i | ||||
\(924\) | −12.2356 | + | 1.15748i | −0.402522 | + | 0.0380783i | ||||
\(925\) | 26.1953 | + | 31.8707i | 0.861295 | + | 1.04790i | ||||
\(926\) | 33.3449 | − | 19.2517i | 1.09578 | − | 0.632649i | ||||
\(927\) | 20.5820 | + | 9.63028i | 0.676003 | + | 0.316300i | ||||
\(928\) | 20.8428 | + | 12.0336i | 0.684200 | + | 0.395023i | ||||
\(929\) | 16.1569 | − | 27.9846i | 0.530091 | − | 0.918145i | −0.469293 | − | 0.883043i | \(-0.655491\pi\) |
0.999384 | − | 0.0351021i | \(-0.0111756\pi\) | |||||||
\(930\) | 12.1273 | + | 15.9937i | 0.397670 | + | 0.524455i | ||||
\(931\) | −38.4755 | + | 3.96444i | −1.26098 | + | 0.129929i | ||||
\(932\) | −0.809248 | + | 1.40166i | −0.0265078 | + | 0.0459129i | ||||
\(933\) | −24.7618 | + | 7.78960i | −0.810665 | + | 0.255020i | ||||
\(934\) | − | 24.0517i | − | 0.786995i | ||||||
\(935\) | −1.81376 | + | 0.649735i | −0.0593164 | + | 0.0212486i | ||||
\(936\) | 10.1094 | − | 7.05903i | 0.330436 | − | 0.230732i | ||||
\(937\) | 10.8762 | 0.355309 | 0.177655 | − | 0.984093i | \(-0.443149\pi\) | ||||
0.177655 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(938\) | −0.483794 | − | 0.103350i | −0.0157964 | − | 0.00337451i | ||||
\(939\) | −17.1994 | − | 15.7810i | −0.561280 | − | 0.514992i | ||||
\(940\) | −6.33516 | + | 7.47249i | −0.206630 | + | 0.243726i | ||||
\(941\) | 14.4640 | + | 25.0523i | 0.471512 | + | 0.816682i | 0.999469 | − | 0.0325890i | \(-0.0103752\pi\) |
−0.527957 | + | 0.849271i | \(0.677042\pi\) | |||||||
\(942\) | 1.71278 | − | 7.70206i | 0.0558054 | − | 0.250947i | ||||
\(943\) | 0.229865 | − | 0.398139i | 0.00748545 | − | 0.0129652i | ||||
\(944\) | −5.79935 | −0.188753 | ||||||||
\(945\) | −0.0204276 | − | 30.7408i | −0.000664510 | − | 1.00000i | ||||
\(946\) | −29.0503 | −0.944508 | ||||||||
\(947\) | 7.48891 | − | 12.9712i | 0.243357 | − | 0.421507i | −0.718311 | − | 0.695722i | \(-0.755085\pi\) |
0.961668 | + | 0.274215i | \(0.0884180\pi\) | |||||||
\(948\) | 2.55835 | − | 11.5044i | 0.0830913 | − | 0.373647i | ||||
\(949\) | 7.07688 | + | 12.2575i | 0.229725 | + | 0.397896i | ||||
\(950\) | −32.7858 | + | 5.43800i | −1.06371 | + | 0.176432i | ||||
\(951\) | 1.00128 | + | 0.918705i | 0.0324687 | + | 0.0297910i | ||||
\(952\) | 0.967055 | − | 1.07182i | 0.0313424 | − | 0.0347378i | ||||
\(953\) | −2.69591 | −0.0873291 | −0.0436645 | − | 0.999046i | \(-0.513903\pi\) | ||||
−0.0436645 | + | 0.999046i | \(0.513903\pi\) | |||||||
\(954\) | −1.31896 | − | 15.3058i | −0.0427030 | − | 0.495545i | ||||
\(955\) | 11.3859 | + | 31.7841i | 0.368438 | + | 1.02851i | ||||
\(956\) | − | 11.4922i | − | 0.371683i | ||||||
\(957\) | −63.6670 | + | 20.0285i | −2.05806 | + | 0.647428i | ||||
\(958\) | 7.06805 | − | 12.2422i | 0.228358 | − | 0.395528i | ||||
\(959\) | 1.54765 | − | 7.24469i | 0.0499761 | − | 0.233943i | ||||
\(960\) | 27.2183 | − | 20.6384i | 0.878468 | − | 0.666103i | ||||
\(961\) | −6.21919 | + | 10.7720i | −0.200619 | + | 0.347482i | ||||
\(962\) | 11.5032 | + | 6.64137i | 0.370878 | + | 0.214126i | ||||
\(963\) | 5.21780 | + | 60.5498i | 0.168141 | + | 1.95119i | ||||
\(964\) | 1.13724 | − | 0.656588i | 0.0366282 | − | 0.0211473i | ||||
\(965\) | 3.75048 | + | 0.680983i | 0.120732 | + | 0.0219216i | ||||
\(966\) | −3.71494 | + | 2.64047i | −0.119526 | + | 0.0849556i | ||||
\(967\) | −40.4969 | − | 23.3809i | −1.30229 | − | 0.751879i | −0.321496 | − | 0.946911i | \(-0.604186\pi\) |
−0.980797 | + | 0.195031i | \(0.937519\pi\) | |||||||
\(968\) | 38.4431 | 1.23561 | ||||||||
\(969\) | 0.369119 | − | 1.65986i | 0.0118578 | − | 0.0533225i | ||||
\(970\) | 6.24530 | + | 5.29475i | 0.200525 | + | 0.170004i | ||||
\(971\) | 2.32650 | + | 4.02961i | 0.0746609 | + | 0.129316i | 0.900939 | − | 0.433946i | \(-0.142879\pi\) |
−0.826278 | + | 0.563263i | \(0.809546\pi\) | |||||||
\(972\) | 7.25567 | + | 4.65572i | 0.232726 | + | 0.149332i | ||||
\(973\) | −25.6285 | + | 28.4049i | −0.821611 | + | 0.910618i | ||||
\(974\) | 25.5070 | − | 14.7265i | 0.817298 | − | 0.471867i | ||||
\(975\) | 6.33274 | − | 9.70707i | 0.202810 | − | 0.310875i | ||||
\(976\) | −25.6652 | + | 14.8178i | −0.821524 | + | 0.474307i | ||||
\(977\) | −24.3981 | − | 42.2587i | −0.780563 | − | 1.35197i | −0.931614 | − | 0.363449i | \(-0.881599\pi\) |
0.151051 | − | 0.988526i | \(-0.451734\pi\) | |||||||
\(978\) | −3.34353 | − | 0.743533i | −0.106914 | − | 0.0237756i | ||||
\(979\) | −20.9869 | + | 12.1168i | −0.670744 | + | 0.387254i | ||||
\(980\) | 4.89158 | − | 7.14175i | 0.156256 | − | 0.228135i | ||||
\(981\) | 13.7546 | − | 9.60436i | 0.439151 | − | 0.306644i | ||||
\(982\) | 1.37693 | − | 0.794974i | 0.0439398 | − | 0.0253686i | ||||
\(983\) | − | 14.5174i | − | 0.463034i | −0.972831 | − | 0.231517i | \(-0.925631\pi\) | ||
0.972831 | − | 0.231517i | \(-0.0743688\pi\) | |||||||
\(984\) | 2.17927 | + | 1.99955i | 0.0694727 | + | 0.0637435i | ||||
\(985\) | −2.93571 | − | 2.48889i | −0.0935394 | − | 0.0793025i | ||||
\(986\) | 0.849097 | − | 1.47068i | 0.0270408 | − | 0.0468360i | ||||
\(987\) | 21.0319 | + | 29.5904i | 0.669454 | + | 0.941872i | ||||
\(988\) | 3.54176 | − | 2.04483i | 0.112678 | − | 0.0650549i | ||||
\(989\) | 3.56584 | − | 2.05874i | 0.113387 | − | 0.0654641i | ||||
\(990\) | −3.65954 | + | 38.9608i | −0.116308 | + | 1.23826i | ||||
\(991\) | −11.6281 | + | 20.1405i | −0.369380 | + | 0.639785i | −0.989469 | − | 0.144747i | \(-0.953763\pi\) |
0.620089 | + | 0.784532i | \(0.287097\pi\) | |||||||
\(992\) | −11.3011 | − | 6.52468i | −0.358810 | − | 0.207159i | ||||
\(993\) | 1.27109 | + | 1.16627i | 0.0403370 | + | 0.0370105i | ||||
\(994\) | −22.0310 | + | 24.4177i | −0.698782 | + | 0.774483i | ||||
\(995\) | 19.2392 | + | 53.7070i | 0.609924 | + | 1.70263i | ||||
\(996\) | 10.8302 | − | 11.8036i | 0.343167 | − | 0.374011i | ||||
\(997\) | −22.5621 | −0.714548 | −0.357274 | − | 0.934000i | \(-0.616294\pi\) | ||||
−0.357274 | + | 0.934000i | \(0.616294\pi\) | |||||||
\(998\) | −10.5277 | + | 18.2345i | −0.333248 | + | 0.577202i | ||||
\(999\) | −5.67924 | + | 42.4951i | −0.179683 | + | 1.34449i |
(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 | 315.2.u.a.59.15 | ✓ | 88 | |
3.2 | odd | 2 | 945.2.u.a.584.30 | 88 | |||
5.4 | even | 2 | inner | 315.2.u.a.59.30 | yes | 88 | |
7.5 | odd | 6 | 315.2.bq.a.194.30 | yes | 88 | ||
9.2 | odd | 6 | 315.2.bq.a.164.15 | yes | 88 | ||
9.7 | even | 3 | 945.2.bq.a.899.30 | 88 | |||
15.14 | odd | 2 | 945.2.u.a.584.15 | 88 | |||
21.5 | even | 6 | 945.2.bq.a.719.15 | 88 | |||
35.19 | odd | 6 | 315.2.bq.a.194.15 | yes | 88 | ||
45.29 | odd | 6 | 315.2.bq.a.164.30 | yes | 88 | ||
45.34 | even | 6 | 945.2.bq.a.899.15 | 88 | |||
63.47 | even | 6 | inner | 315.2.u.a.299.30 | yes | 88 | |
63.61 | odd | 6 | 945.2.u.a.89.15 | 88 | |||
105.89 | even | 6 | 945.2.bq.a.719.30 | 88 | |||
315.124 | odd | 6 | 945.2.u.a.89.30 | 88 | |||
315.299 | even | 6 | inner | 315.2.u.a.299.15 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.15 | ✓ | 88 | 1.1 | even | 1 | trivial | |
315.2.u.a.59.30 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.u.a.299.15 | yes | 88 | 315.299 | even | 6 | inner | |
315.2.u.a.299.30 | yes | 88 | 63.47 | even | 6 | inner | |
315.2.bq.a.164.15 | yes | 88 | 9.2 | odd | 6 | ||
315.2.bq.a.164.30 | yes | 88 | 45.29 | odd | 6 | ||
315.2.bq.a.194.15 | yes | 88 | 35.19 | odd | 6 | ||
315.2.bq.a.194.30 | yes | 88 | 7.5 | odd | 6 | ||
945.2.u.a.89.15 | 88 | 63.61 | odd | 6 | |||
945.2.u.a.89.30 | 88 | 315.124 | odd | 6 | |||
945.2.u.a.584.15 | 88 | 15.14 | odd | 2 | |||
945.2.u.a.584.30 | 88 | 3.2 | odd | 2 | |||
945.2.bq.a.719.15 | 88 | 21.5 | even | 6 | |||
945.2.bq.a.719.30 | 88 | 105.89 | even | 6 | |||
945.2.bq.a.899.15 | 88 | 45.34 | even | 6 | |||
945.2.bq.a.899.30 | 88 | 9.7 | even | 3 |