Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 74.12 | ||
Character | \(\chi\) | \(=\) | 165.74 |
Dual form | 165.2.r.a.29.12 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.303223 | + | 0.417350i | 0.214411 | + | 0.295111i | 0.902652 | − | 0.430370i | \(-0.141617\pi\) |
−0.688242 | + | 0.725482i | \(0.741617\pi\) | |||||||
\(3\) | 0.725625 | + | 1.57273i | 0.418940 | + | 0.908014i | ||||
\(4\) | 0.535797 | − | 1.64901i | 0.267898 | − | 0.824507i | ||||
\(5\) | −0.723962 | + | 2.11563i | −0.323766 | + | 0.946137i | ||||
\(6\) | −0.436352 | + | 0.779726i | −0.178140 | + | 0.318322i | ||||
\(7\) | −0.781546 | + | 2.40535i | −0.295396 | + | 0.909137i | 0.687692 | + | 0.726003i | \(0.258624\pi\) |
−0.983088 | + | 0.183134i | \(0.941376\pi\) | |||||||
\(8\) | 1.83193 | − | 0.595230i | 0.647685 | − | 0.210446i | ||||
\(9\) | −1.94694 | + | 2.28242i | −0.648979 | + | 0.760806i | ||||
\(10\) | −1.10248 | + | 0.339360i | −0.348634 | + | 0.107315i | ||||
\(11\) | 0.813609 | − | 3.21528i | 0.245312 | − | 0.969444i | ||||
\(12\) | 2.98223 | − | 0.353903i | 0.860897 | − | 0.102163i | ||||
\(13\) | 4.13780 | − | 3.00629i | 1.14762 | − | 0.833794i | 0.159457 | − | 0.987205i | \(-0.449026\pi\) |
0.988163 | + | 0.153411i | \(0.0490257\pi\) | |||||||
\(14\) | −1.24086 | + | 0.403178i | −0.331633 | + | 0.107754i | ||||
\(15\) | −3.85263 | + | 0.396558i | −0.994744 | + | 0.102391i | ||||
\(16\) | −2.00157 | − | 1.45422i | −0.500392 | − | 0.363556i | ||||
\(17\) | −2.17976 | + | 3.00018i | −0.528668 | + | 0.727650i | −0.986927 | − | 0.161169i | \(-0.948473\pi\) |
0.458258 | + | 0.888819i | \(0.348473\pi\) | |||||||
\(18\) | −1.54292 | − | 0.120473i | −0.363670 | − | 0.0283958i | ||||
\(19\) | 1.97662 | − | 0.642242i | 0.453467 | − | 0.147340i | −0.0733735 | − | 0.997305i | \(-0.523377\pi\) |
0.526840 | + | 0.849964i | \(0.323377\pi\) | |||||||
\(20\) | 3.10080 | + | 2.32737i | 0.693360 | + | 0.520416i | ||||
\(21\) | −4.35007 | + | 0.516225i | −0.949262 | + | 0.112649i | ||||
\(22\) | 1.58860 | − | 0.635387i | 0.338691 | − | 0.135465i | ||||
\(23\) | −2.64175 | −0.550844 | −0.275422 | − | 0.961323i | \(-0.588818\pi\) | ||||
−0.275422 | + | 0.961323i | \(0.588818\pi\) | |||||||
\(24\) | 2.26543 | + | 2.44921i | 0.462429 | + | 0.499943i | ||||
\(25\) | −3.95176 | − | 3.06327i | −0.790352 | − | 0.612654i | ||||
\(26\) | 2.50935 | + | 0.815337i | 0.492124 | + | 0.159901i | ||||
\(27\) | −5.00237 | − | 1.40582i | −0.962706 | − | 0.270550i | ||||
\(28\) | 3.54770 | + | 2.57756i | 0.670453 | + | 0.487113i | ||||
\(29\) | 1.79775 | − | 5.53289i | 0.333833 | − | 1.02743i | −0.633461 | − | 0.773775i | \(-0.718366\pi\) |
0.967294 | − | 0.253658i | \(-0.0816338\pi\) | |||||||
\(30\) | −1.33371 | − | 1.48765i | −0.243501 | − | 0.271606i | ||||
\(31\) | 4.64730 | − | 3.37646i | 0.834680 | − | 0.606431i | −0.0861994 | − | 0.996278i | \(-0.527472\pi\) |
0.920879 | + | 0.389847i | \(0.127472\pi\) | |||||||
\(32\) | − | 5.12872i | − | 0.906638i | ||||||
\(33\) | 5.64713 | − | 1.05350i | 0.983040 | − | 0.183392i | ||||
\(34\) | −1.91308 | −0.328090 | ||||||||
\(35\) | −4.52301 | − | 3.39484i | −0.764529 | − | 0.573833i | ||||
\(36\) | 2.72058 | + | 4.43344i | 0.453429 | + | 0.738906i | ||||
\(37\) | −8.16423 | − | 2.65272i | −1.34219 | − | 0.436104i | −0.452133 | − | 0.891951i | \(-0.649337\pi\) |
−0.890059 | + | 0.455846i | \(0.849337\pi\) | |||||||
\(38\) | 0.867394 | + | 0.630199i | 0.140710 | + | 0.102232i | ||||
\(39\) | 7.73056 | + | 4.32619i | 1.23788 | + | 0.692745i | ||||
\(40\) | −0.0669628 | + | 4.30661i | −0.0105877 | + | 0.680934i | ||||
\(41\) | 0.856736 | + | 2.63676i | 0.133800 | + | 0.411793i | 0.995401 | − | 0.0957919i | \(-0.0305383\pi\) |
−0.861602 | + | 0.507585i | \(0.830538\pi\) | |||||||
\(42\) | −1.53449 | − | 1.65897i | −0.236776 | − | 0.255985i | ||||
\(43\) | 8.05145 | 1.22783 | 0.613917 | − | 0.789370i | \(-0.289593\pi\) | ||||
0.613917 | + | 0.789370i | \(0.289593\pi\) | |||||||
\(44\) | −4.86611 | − | 3.06439i | −0.733594 | − | 0.461974i | ||||
\(45\) | −3.41924 | − | 5.77138i | −0.509710 | − | 0.860346i | ||||
\(46\) | −0.801039 | − | 1.10254i | −0.118107 | − | 0.162560i | ||||
\(47\) | −1.10039 | − | 3.38664i | −0.160508 | − | 0.493993i | 0.838169 | − | 0.545410i | \(-0.183626\pi\) |
−0.998677 | + | 0.0514175i | \(0.983626\pi\) | |||||||
\(48\) | 0.834708 | − | 4.20314i | 0.120480 | − | 0.606671i | ||||
\(49\) | 0.488224 | + | 0.354715i | 0.0697462 | + | 0.0506736i | ||||
\(50\) | 0.0801929 | − | 2.57812i | 0.0113410 | − | 0.364601i | ||||
\(51\) | −6.30014 | − | 1.25116i | −0.882196 | − | 0.175197i | ||||
\(52\) | −2.74039 | − | 8.43405i | −0.380023 | − | 1.16959i | ||||
\(53\) | −5.04886 | + | 3.66821i | −0.693514 | + | 0.503868i | −0.877814 | − | 0.479003i | \(-0.840998\pi\) |
0.184299 | + | 0.982870i | \(0.440998\pi\) | |||||||
\(54\) | −0.930112 | − | 2.51401i | −0.126572 | − | 0.342114i | ||||
\(55\) | 6.21332 | + | 4.04904i | 0.837803 | + | 0.545972i | ||||
\(56\) | 4.87163i | 0.650999i | ||||||||
\(57\) | 2.44435 | + | 2.64265i | 0.323762 | + | 0.350028i | ||||
\(58\) | 2.85427 | − | 0.927409i | 0.374784 | − | 0.121775i | ||||
\(59\) | −3.98792 | − | 1.29575i | −0.519183 | − | 0.168693i | 0.0376915 | − | 0.999289i | \(-0.488000\pi\) |
−0.556875 | + | 0.830597i | \(0.688000\pi\) | |||||||
\(60\) | −1.41030 | + | 6.56551i | −0.182069 | + | 0.847603i | ||||
\(61\) | −4.38022 | + | 6.02886i | −0.560830 | + | 0.771916i | −0.991432 | − | 0.130626i | \(-0.958301\pi\) |
0.430602 | + | 0.902542i | \(0.358301\pi\) | |||||||
\(62\) | 2.81833 | + | 0.915732i | 0.357929 | + | 0.116298i | ||||
\(63\) | −3.96840 | − | 6.46688i | −0.499971 | − | 0.814750i | ||||
\(64\) | −1.86266 | + | 1.35330i | −0.232833 | + | 0.169163i | ||||
\(65\) | 3.36457 | + | 10.9305i | 0.417324 | + | 1.35576i | ||||
\(66\) | 2.15202 | + | 2.03739i | 0.264895 | + | 0.250785i | ||||
\(67\) | 11.2044i | 1.36884i | 0.729087 | + | 0.684421i | \(0.239945\pi\) | ||||
−0.729087 | + | 0.684421i | \(0.760055\pi\) | |||||||
\(68\) | 3.77942 | + | 5.20193i | 0.458322 | + | 0.630827i | ||||
\(69\) | −1.91692 | − | 4.15476i | −0.230770 | − | 0.500174i | ||||
\(70\) | 0.0453571 | − | 2.91707i | 0.00542121 | − | 0.348657i | ||||
\(71\) | −0.927714 | + | 1.27689i | −0.110099 | + | 0.151539i | −0.860511 | − | 0.509432i | \(-0.829855\pi\) |
0.750411 | + | 0.660971i | \(0.229855\pi\) | |||||||
\(72\) | −2.20809 | + | 5.34011i | −0.260226 | + | 0.629338i | ||||
\(73\) | −2.17457 | + | 6.69263i | −0.254514 | + | 0.783313i | 0.739411 | + | 0.673254i | \(0.235104\pi\) |
−0.993925 | + | 0.110059i | \(0.964896\pi\) | |||||||
\(74\) | −1.36847 | − | 4.21171i | −0.159081 | − | 0.489601i | ||||
\(75\) | 1.95019 | − | 8.43782i | 0.225188 | − | 0.974315i | ||||
\(76\) | − | 3.60358i | − | 0.413359i | ||||||
\(77\) | 7.09801 | + | 4.46990i | 0.808893 | + | 0.509393i | ||||
\(78\) | 0.538545 | + | 4.53815i | 0.0609782 | + | 0.513844i | ||||
\(79\) | −0.759973 | − | 1.04601i | −0.0855037 | − | 0.117686i | 0.764122 | − | 0.645071i | \(-0.223172\pi\) |
−0.849626 | + | 0.527386i | \(0.823172\pi\) | |||||||
\(80\) | 4.52565 | − | 3.18177i | 0.505983 | − | 0.355732i | ||||
\(81\) | −1.41887 | − | 8.88745i | −0.157653 | − | 0.987495i | ||||
\(82\) | −0.840672 | + | 1.15709i | −0.0928366 | + | 0.127779i | ||||
\(83\) | 6.83795 | − | 9.41163i | 0.750563 | − | 1.03306i | −0.247378 | − | 0.968919i | \(-0.579569\pi\) |
0.997941 | − | 0.0641418i | \(-0.0204310\pi\) | |||||||
\(84\) | −1.47949 | + | 7.44991i | −0.161426 | + | 0.812852i | ||||
\(85\) | −4.76919 | − | 6.78356i | −0.517292 | − | 0.735781i | ||||
\(86\) | 2.44138 | + | 3.36027i | 0.263261 | + | 0.362348i | ||||
\(87\) | 10.0062 | − | 1.18744i | 1.07278 | − | 0.127307i | ||||
\(88\) | −0.423358 | − | 6.37446i | −0.0451301 | − | 0.679520i | ||||
\(89\) | 6.15081i | 0.651984i | 0.945373 | + | 0.325992i | \(0.105698\pi\) | ||||
−0.945373 | + | 0.325992i | \(0.894302\pi\) | |||||||
\(90\) | 1.37189 | − | 3.17703i | 0.144610 | − | 0.334889i | ||||
\(91\) | 3.99730 | + | 12.3024i | 0.419030 | + | 1.28964i | ||||
\(92\) | −1.41544 | + | 4.35629i | −0.147570 | + | 0.454174i | ||||
\(93\) | 8.68245 | + | 4.85889i | 0.900328 | + | 0.503843i | ||||
\(94\) | 1.07975 | − | 1.48615i | 0.111368 | − | 0.153285i | ||||
\(95\) | −0.0722515 | + | 4.64674i | −0.00741284 | + | 0.476746i | ||||
\(96\) | 8.06607 | − | 3.72153i | 0.823240 | − | 0.379827i | ||||
\(97\) | 1.61795 | + | 2.22691i | 0.164278 | + | 0.226109i | 0.883218 | − | 0.468963i | \(-0.155372\pi\) |
−0.718940 | + | 0.695072i | \(0.755372\pi\) | |||||||
\(98\) | 0.311318i | 0.0314479i | ||||||||
\(99\) | 5.75458 | + | 8.11695i | 0.578357 | + | 0.815784i | ||||
\(100\) | −7.16871 | + | 4.87521i | −0.716871 | + | 0.487521i | ||||
\(101\) | −6.07810 | + | 4.41600i | −0.604793 | + | 0.439408i | −0.847577 | − | 0.530672i | \(-0.821940\pi\) |
0.242784 | + | 0.970080i | \(0.421940\pi\) | |||||||
\(102\) | −1.38818 | − | 3.00874i | −0.137450 | − | 0.297910i | ||||
\(103\) | −13.8164 | − | 4.48920i | −1.36137 | − | 0.442334i | −0.464867 | − | 0.885381i | \(-0.653898\pi\) |
−0.896499 | + | 0.443046i | \(0.853898\pi\) | |||||||
\(104\) | 5.79073 | − | 7.97026i | 0.567828 | − | 0.781548i | ||||
\(105\) | 2.05714 | − | 9.57685i | 0.200757 | − | 0.934605i | ||||
\(106\) | −3.06186 | − | 0.994858i | −0.297394 | − | 0.0966291i | ||||
\(107\) | 3.38762 | − | 1.10070i | 0.327493 | − | 0.106409i | −0.140656 | − | 0.990059i | \(-0.544921\pi\) |
0.468149 | + | 0.883650i | \(0.344921\pi\) | |||||||
\(108\) | −4.99847 | + | 7.49573i | −0.480978 | + | 0.721277i | ||||
\(109\) | 19.1935i | 1.83840i | 0.393787 | + | 0.919202i | \(0.371165\pi\) | ||||
−0.393787 | + | 0.919202i | \(0.628835\pi\) | |||||||
\(110\) | 0.194153 | + | 3.82089i | 0.0185117 | + | 0.364307i | ||||
\(111\) | −1.75217 | − | 14.7650i | −0.166308 | − | 1.40143i | ||||
\(112\) | 5.06223 | − | 3.67793i | 0.478336 | − | 0.347531i | ||||
\(113\) | 2.76537 | + | 8.51092i | 0.260144 | + | 0.800640i | 0.992772 | + | 0.120012i | \(0.0382932\pi\) |
−0.732629 | + | 0.680629i | \(0.761707\pi\) | |||||||
\(114\) | −0.361727 | + | 1.82146i | −0.0338789 | + | 0.170596i | ||||
\(115\) | 1.91253 | − | 5.58897i | 0.178344 | − | 0.521174i | ||||
\(116\) | −8.16059 | − | 5.92901i | −0.757692 | − | 0.550495i | ||||
\(117\) | −1.19443 | + | 15.2972i | −0.110425 | + | 1.41423i | ||||
\(118\) | −0.668445 | − | 2.05726i | −0.0615353 | − | 0.189386i | ||||
\(119\) | −5.51290 | − | 7.58785i | −0.505366 | − | 0.695577i | ||||
\(120\) | −6.82170 | + | 3.01967i | −0.622733 | + | 0.275657i | ||||
\(121\) | −9.67608 | − | 5.23197i | −0.879644 | − | 0.475633i | ||||
\(122\) | −3.84433 | −0.348049 | ||||||||
\(123\) | −3.52524 | + | 3.26071i | −0.317860 | + | 0.294009i | ||||
\(124\) | −3.07782 | − | 9.47256i | −0.276396 | − | 0.850661i | ||||
\(125\) | 9.34166 | − | 6.14276i | 0.835543 | − | 0.549425i | ||||
\(126\) | 1.49565 | − | 3.61712i | 0.133243 | − | 0.322238i | ||||
\(127\) | −1.08484 | − | 0.788183i | −0.0962640 | − | 0.0699399i | 0.538612 | − | 0.842554i | \(-0.318949\pi\) |
−0.634876 | + | 0.772614i | \(0.718949\pi\) | |||||||
\(128\) | −10.8850 | − | 3.53675i | −0.962108 | − | 0.312608i | ||||
\(129\) | 5.84233 | + | 12.6627i | 0.514389 | + | 1.11489i | ||||
\(130\) | −3.54162 | + | 4.71858i | −0.310621 | + | 0.413846i | ||||
\(131\) | 18.2001 | 1.59015 | 0.795075 | − | 0.606511i | \(-0.207431\pi\) | ||||
0.795075 | + | 0.606511i | \(0.207431\pi\) | |||||||
\(132\) | 1.28847 | − | 9.87666i | 0.112147 | − | 0.859653i | ||||
\(133\) | 5.25640i | 0.455787i | ||||||||
\(134\) | −4.67618 | + | 3.39744i | −0.403960 | + | 0.293494i | ||||
\(135\) | 6.59571 | − | 9.56538i | 0.567669 | − | 0.823257i | ||||
\(136\) | −2.20737 | + | 6.79357i | −0.189280 | + | 0.582544i | ||||
\(137\) | −9.76794 | − | 7.09682i | −0.834531 | − | 0.606322i | 0.0863064 | − | 0.996269i | \(-0.472494\pi\) |
−0.920838 | + | 0.389946i | \(0.872494\pi\) | |||||||
\(138\) | 1.15273 | − | 2.05984i | 0.0981272 | − | 0.175346i | ||||
\(139\) | −0.0797187 | − | 0.0259022i | −0.00676165 | − | 0.00219699i | 0.305634 | − | 0.952149i | \(-0.401132\pi\) |
−0.312396 | + | 0.949952i | \(0.601132\pi\) | |||||||
\(140\) | −8.02155 | + | 5.63957i | −0.677945 | + | 0.476630i | ||||
\(141\) | 4.52779 | − | 4.18804i | 0.381309 | − | 0.352697i | ||||
\(142\) | −0.814213 | −0.0683273 | ||||||||
\(143\) | −6.29951 | − | 15.7501i | −0.526792 | − | 1.31709i | ||||
\(144\) | 7.21607 | − | 1.73713i | 0.601339 | − | 0.144761i | ||||
\(145\) | 10.4040 | + | 7.80897i | 0.864009 | + | 0.648499i | ||||
\(146\) | −3.45255 | + | 1.12180i | −0.285735 | + | 0.0928409i | ||||
\(147\) | −0.203603 | + | 1.02523i | −0.0167929 | + | 0.0845597i | ||||
\(148\) | −8.74874 | + | 12.0416i | −0.719142 | + | 0.989814i | ||||
\(149\) | −12.8047 | − | 9.30313i | −1.04900 | − | 0.762142i | −0.0769772 | − | 0.997033i | \(-0.524527\pi\) |
−0.972022 | + | 0.234890i | \(0.924527\pi\) | |||||||
\(150\) | 4.11287 | − | 1.74463i | 0.335814 | − | 0.142448i | ||||
\(151\) | 7.36748 | − | 2.39384i | 0.599557 | − | 0.194808i | 0.00651432 | − | 0.999979i | \(-0.497926\pi\) |
0.593043 | + | 0.805171i | \(0.297926\pi\) | |||||||
\(152\) | 3.23874 | − | 2.35308i | 0.262697 | − | 0.190860i | ||||
\(153\) | −2.60381 | − | 10.8163i | −0.210506 | − | 0.874444i | ||||
\(154\) | 0.286761 | + | 4.31773i | 0.0231079 | + | 0.347933i | ||||
\(155\) | 3.77887 | + | 12.2764i | 0.303526 | + | 0.986063i | ||||
\(156\) | 11.2760 | − | 10.4298i | 0.902799 | − | 0.835055i | ||||
\(157\) | 4.62394 | − | 1.50241i | 0.369030 | − | 0.119905i | −0.118630 | − | 0.992938i | \(-0.537850\pi\) |
0.487661 | + | 0.873033i | \(0.337850\pi\) | |||||||
\(158\) | 0.206113 | − | 0.634350i | 0.0163975 | − | 0.0504662i | ||||
\(159\) | −9.43267 | − | 5.27873i | −0.748060 | − | 0.418631i | ||||
\(160\) | 10.8505 | + | 3.71300i | 0.857804 | + | 0.293538i | ||||
\(161\) | 2.06465 | − | 6.35434i | 0.162717 | − | 0.500792i | ||||
\(162\) | 3.27894 | − | 3.28704i | 0.257618 | − | 0.258255i | ||||
\(163\) | −8.38716 | − | 11.5439i | −0.656933 | − | 0.904191i | 0.342442 | − | 0.939539i | \(-0.388746\pi\) |
−0.999375 | + | 0.0353479i | \(0.988746\pi\) | |||||||
\(164\) | 4.80709 | 0.375371 | ||||||||
\(165\) | −1.85949 | + | 12.7099i | −0.144761 | + | 0.989467i | ||||
\(166\) | 6.00137 | 0.465796 | ||||||||
\(167\) | −7.50419 | − | 10.3286i | −0.580692 | − | 0.799254i | 0.413079 | − | 0.910695i | \(-0.364453\pi\) |
−0.993771 | + | 0.111441i | \(0.964453\pi\) | |||||||
\(168\) | −7.66175 | + | 3.53498i | −0.591117 | + | 0.272730i | ||||
\(169\) | 4.06641 | − | 12.5151i | 0.312800 | − | 0.962701i | ||||
\(170\) | 1.38499 | − | 4.04735i | 0.106224 | − | 0.310418i | ||||
\(171\) | −2.38248 | + | 5.76187i | −0.182193 | + | 0.440621i | ||||
\(172\) | 4.31394 | − | 13.2769i | 0.328935 | − | 1.01236i | ||||
\(173\) | 4.31646 | − | 1.40250i | 0.328174 | − | 0.106630i | −0.140296 | − | 0.990110i | \(-0.544805\pi\) |
0.468470 | + | 0.883479i | \(0.344805\pi\) | |||||||
\(174\) | 3.52969 | + | 3.81604i | 0.267585 | + | 0.289293i | ||||
\(175\) | 10.4567 | − | 7.11128i | 0.790453 | − | 0.537562i | ||||
\(176\) | −6.30423 | + | 5.25243i | −0.475199 | + | 0.395917i | ||||
\(177\) | −0.855868 | − | 7.21214i | −0.0643310 | − | 0.542098i | ||||
\(178\) | −2.56704 | + | 1.86506i | −0.192408 | + | 0.139792i | ||||
\(179\) | 10.3308 | − | 3.35667i | 0.772158 | − | 0.250889i | 0.103669 | − | 0.994612i | \(-0.466942\pi\) |
0.668488 | + | 0.743723i | \(0.266942\pi\) | |||||||
\(180\) | −11.3491 | + | 2.54609i | −0.845912 | + | 0.189774i | ||||
\(181\) | 7.41705 | + | 5.38880i | 0.551305 | + | 0.400546i | 0.828266 | − | 0.560335i | \(-0.189327\pi\) |
−0.276962 | + | 0.960881i | \(0.589327\pi\) | |||||||
\(182\) | −3.92234 | + | 5.39864i | −0.290743 | + | 0.400174i | ||||
\(183\) | −12.6601 | − | 2.51420i | −0.935864 | − | 0.185855i | ||||
\(184\) | −4.83951 | + | 1.57245i | −0.356773 | + | 0.115923i | ||||
\(185\) | 11.5228 | − | 15.3520i | 0.847170 | − | 1.12870i | ||||
\(186\) | 0.604857 | + | 5.09695i | 0.0443503 | + | 0.373726i | ||||
\(187\) | 7.87294 | + | 9.44950i | 0.575727 | + | 0.691016i | ||||
\(188\) | −6.17420 | −0.450300 | ||||||||
\(189\) | 7.29106 | − | 10.9337i | 0.530347 | − | 0.795312i | ||||
\(190\) | −1.96123 | + | 1.37884i | −0.142282 | + | 0.100032i | ||||
\(191\) | 1.03400 | + | 0.335966i | 0.0748173 | + | 0.0243096i | 0.346187 | − | 0.938166i | \(-0.387476\pi\) |
−0.271369 | + | 0.962475i | \(0.587476\pi\) | |||||||
\(192\) | −3.47997 | − | 1.94747i | −0.251145 | − | 0.140546i | ||||
\(193\) | −1.63164 | − | 1.18546i | −0.117448 | − | 0.0853312i | 0.527511 | − | 0.849548i | \(-0.323126\pi\) |
−0.644959 | + | 0.764217i | \(0.723126\pi\) | |||||||
\(194\) | −0.438804 | + | 1.35050i | −0.0315043 | + | 0.0969603i | ||||
\(195\) | −14.7492 | + | 13.2230i | −1.05622 | + | 0.946918i | ||||
\(196\) | 0.846519 | − | 0.615032i | 0.0604656 | − | 0.0439308i | ||||
\(197\) | 12.3074i | 0.876867i | 0.898764 | + | 0.438434i | \(0.144467\pi\) | ||||
−0.898764 | + | 0.438434i | \(0.855533\pi\) | |||||||
\(198\) | −1.64269 | + | 4.86292i | −0.116741 | + | 0.345592i | ||||
\(199\) | −2.23358 | −0.158335 | −0.0791673 | − | 0.996861i | \(-0.525226\pi\) | ||||
−0.0791673 | + | 0.996861i | \(0.525226\pi\) | |||||||
\(200\) | −9.06270 | − | 3.25949i | −0.640829 | − | 0.230481i | ||||
\(201\) | −17.6215 | + | 8.13023i | −1.24293 | + | 0.573462i | ||||
\(202\) | −3.68603 | − | 1.19767i | −0.259348 | − | 0.0842674i | ||||
\(203\) | 11.9035 | + | 8.64842i | 0.835464 | + | 0.607000i | ||||
\(204\) | −5.43877 | + | 9.71865i | −0.380790 | + | 0.680442i | ||||
\(205\) | −6.19865 | − | 0.0963819i | −0.432933 | − | 0.00673160i | ||||
\(206\) | −2.31586 | − | 7.12748i | −0.161354 | − | 0.496595i | ||||
\(207\) | 5.14333 | − | 6.02959i | 0.357486 | − | 0.419085i | ||||
\(208\) | −12.6539 | −0.877390 | ||||||||
\(209\) | −0.456795 | − | 6.87791i | −0.0315972 | − | 0.475755i | ||||
\(210\) | 4.62067 | − | 2.04537i | 0.318857 | − | 0.141144i | ||||
\(211\) | −7.34536 | − | 10.1100i | −0.505676 | − | 0.696003i | 0.477507 | − | 0.878628i | \(-0.341541\pi\) |
−0.983183 | + | 0.182625i | \(0.941541\pi\) | |||||||
\(212\) | 3.34377 | + | 10.2911i | 0.229651 | + | 0.706792i | ||||
\(213\) | −2.68137 | − | 0.532498i | −0.183724 | − | 0.0364861i | ||||
\(214\) | 1.48658 | + | 1.08006i | 0.101621 | + | 0.0738317i | ||||
\(215\) | −5.82894 | + | 17.0339i | −0.397531 | + | 1.16170i | ||||
\(216\) | −10.0008 | + | 0.402198i | −0.680467 | + | 0.0273661i | ||||
\(217\) | 4.48950 | + | 13.8172i | 0.304767 | + | 0.937976i | ||||
\(218\) | −8.01041 | + | 5.81990i | −0.542533 | + | 0.394174i | ||||
\(219\) | −12.1036 | + | 1.43634i | −0.817885 | + | 0.0970588i | ||||
\(220\) | 10.0060 | − | 8.07638i | 0.674604 | − | 0.544509i | ||||
\(221\) | 18.9671i | 1.27587i | ||||||||
\(222\) | 5.63087 | − | 5.20834i | 0.377919 | − | 0.349561i | ||||
\(223\) | −12.9699 | + | 4.21419i | −0.868531 | + | 0.282203i | −0.709187 | − | 0.705020i | \(-0.750938\pi\) |
−0.159344 | + | 0.987223i | \(0.550938\pi\) | |||||||
\(224\) | 12.3364 | + | 4.00833i | 0.824258 | + | 0.267818i | ||||
\(225\) | 14.6855 | − | 3.05558i | 0.979032 | − | 0.203705i | ||||
\(226\) | −2.71351 | + | 3.73483i | −0.180500 | + | 0.248437i | ||||
\(227\) | 14.7564 | + | 4.79464i | 0.979416 | + | 0.318232i | 0.754611 | − | 0.656172i | \(-0.227825\pi\) |
0.224805 | + | 0.974404i | \(0.427825\pi\) | |||||||
\(228\) | 5.66744 | − | 2.61485i | 0.375335 | − | 0.173172i | ||||
\(229\) | −2.23835 | + | 1.62625i | −0.147914 | + | 0.107466i | −0.659281 | − | 0.751897i | \(-0.729139\pi\) |
0.511367 | + | 0.859362i | \(0.329139\pi\) | |||||||
\(230\) | 2.91248 | − | 0.896506i | 0.192043 | − | 0.0591139i | ||||
\(231\) | −1.87945 | + | 14.4067i | −0.123658 | + | 0.947891i | ||||
\(232\) | − | 11.2060i | − | 0.735707i | ||||||
\(233\) | 16.5952 | + | 22.8414i | 1.08719 | + | 1.49639i | 0.851353 | + | 0.524594i | \(0.175783\pi\) |
0.235836 | + | 0.971793i | \(0.424217\pi\) | |||||||
\(234\) | −6.74649 | + | 4.13998i | −0.441032 | + | 0.270639i | ||||
\(235\) | 7.96151 | + | 0.123792i | 0.519352 | + | 0.00807532i | ||||
\(236\) | −4.27343 | + | 5.88187i | −0.278177 | + | 0.382877i | ||||
\(237\) | 1.09364 | − | 1.95424i | 0.0710394 | − | 0.126942i | ||||
\(238\) | 1.49516 | − | 4.60162i | 0.0969165 | − | 0.298278i | ||||
\(239\) | −6.36557 | − | 19.5912i | −0.411755 | − | 1.26725i | −0.915122 | − | 0.403178i | \(-0.867906\pi\) |
0.503367 | − | 0.864073i | \(-0.332094\pi\) | |||||||
\(240\) | 8.28797 | + | 4.80884i | 0.534986 | + | 0.310410i | ||||
\(241\) | − | 25.5410i | − | 1.64524i | −0.568593 | − | 0.822619i | \(-0.692512\pi\) | ||
0.568593 | − | 0.822619i | \(-0.307488\pi\) | |||||||
\(242\) | −0.750445 | − | 5.62476i | −0.0482404 | − | 0.361574i | ||||
\(243\) | 12.9480 | − | 8.68046i | 0.830612 | − | 0.556852i | ||||
\(244\) | 7.59476 | + | 10.4533i | 0.486204 | + | 0.669203i | ||||
\(245\) | −1.10390 | + | 0.776099i | −0.0705256 | + | 0.0495831i | ||||
\(246\) | −2.42979 | − | 0.482536i | −0.154918 | − | 0.0307654i | ||||
\(247\) | 6.24808 | − | 8.59975i | 0.397556 | − | 0.547189i | ||||
\(248\) | 6.50376 | − | 8.95166i | 0.412989 | − | 0.568431i | ||||
\(249\) | 19.7637 | + | 3.92491i | 1.25247 | + | 0.248731i | ||||
\(250\) | 5.39628 | + | 2.03612i | 0.341291 | + | 0.128775i | ||||
\(251\) | 1.10276 | + | 1.51782i | 0.0696058 | + | 0.0958042i | 0.842401 | − | 0.538852i | \(-0.181142\pi\) |
−0.772795 | + | 0.634656i | \(0.781142\pi\) | |||||||
\(252\) | −12.7902 | + | 3.07901i | −0.805708 | + | 0.193959i | ||||
\(253\) | −2.14935 | + | 8.49398i | −0.135129 | + | 0.534012i | ||||
\(254\) | − | 0.691753i | − | 0.0434045i | ||||||
\(255\) | 7.20804 | − | 12.4230i | 0.451385 | − | 0.777956i | ||||
\(256\) | −0.401569 | − | 1.23590i | −0.0250981 | − | 0.0772439i | ||||
\(257\) | −1.46219 | + | 4.50015i | −0.0912088 | + | 0.280712i | −0.986247 | − | 0.165277i | \(-0.947148\pi\) |
0.895038 | + | 0.445989i | \(0.147148\pi\) | |||||||
\(258\) | −3.51326 | + | 6.27792i | −0.218726 | + | 0.390846i | ||||
\(259\) | 12.7614 | − | 17.5646i | 0.792957 | − | 1.09141i | ||||
\(260\) | 19.8272 | + | 0.308291i | 1.22963 | + | 0.0191194i | ||||
\(261\) | 9.12829 | + | 14.8754i | 0.565027 | + | 0.920765i | ||||
\(262\) | 5.51868 | + | 7.59581i | 0.340945 | + | 0.469271i | ||||
\(263\) | − | 15.6801i | − | 0.966876i | −0.875379 | − | 0.483438i | \(-0.839388\pi\) | ||
0.875379 | − | 0.483438i | \(-0.160612\pi\) | |||||||
\(264\) | 9.71808 | − | 5.29129i | 0.598106 | − | 0.325657i | ||||
\(265\) | −4.10539 | − | 13.3372i | −0.252192 | − | 0.819295i | ||||
\(266\) | −2.19376 | + | 1.59386i | −0.134508 | + | 0.0977257i | ||||
\(267\) | −9.67353 | + | 4.46318i | −0.592011 | + | 0.273142i | ||||
\(268\) | 18.4763 | + | 6.00331i | 1.12862 | + | 0.366710i | ||||
\(269\) | −13.1887 | + | 18.1527i | −0.804128 | + | 1.10679i | 0.188075 | + | 0.982155i | \(0.439775\pi\) |
−0.992203 | + | 0.124633i | \(0.960225\pi\) | |||||||
\(270\) | 5.99208 | − | 0.147720i | 0.364667 | − | 0.00898993i | ||||
\(271\) | 3.90298 | + | 1.26816i | 0.237089 | + | 0.0770349i | 0.425152 | − | 0.905122i | \(-0.360221\pi\) |
−0.188062 | + | 0.982157i | \(0.560221\pi\) | |||||||
\(272\) | 8.72585 | − | 2.83520i | 0.529082 | − | 0.171909i | ||||
\(273\) | −16.4478 | + | 15.2136i | −0.995466 | + | 0.920768i | ||||
\(274\) | − | 6.22857i | − | 0.376281i | ||||||
\(275\) | −13.0645 | + | 10.2137i | −0.787816 | + | 0.615910i | ||||
\(276\) | −7.87833 | + | 0.934925i | −0.474220 | + | 0.0562759i | ||||
\(277\) | −4.94006 | + | 3.58916i | −0.296819 | + | 0.215652i | −0.726220 | − | 0.687462i | \(-0.758725\pi\) |
0.429401 | + | 0.903114i | \(0.358725\pi\) | |||||||
\(278\) | −0.0133622 | − | 0.0411247i | −0.000801414 | − | 0.00246650i | ||||
\(279\) | −1.34150 | + | 17.1808i | −0.0803135 | + | 1.02859i | ||||
\(280\) | −10.3066 | − | 3.52688i | −0.615935 | − | 0.210771i | ||||
\(281\) | 8.23840 | + | 5.98555i | 0.491462 | + | 0.357068i | 0.805746 | − | 0.592261i | \(-0.201765\pi\) |
−0.314284 | + | 0.949329i | \(0.601765\pi\) | |||||||
\(282\) | 3.12081 | + | 0.619767i | 0.185841 | + | 0.0369066i | ||||
\(283\) | 4.23598 | + | 13.0370i | 0.251803 | + | 0.774970i | 0.994443 | + | 0.105279i | \(0.0335735\pi\) |
−0.742640 | + | 0.669691i | \(0.766427\pi\) | |||||||
\(284\) | 1.60854 | + | 2.21396i | 0.0954493 | + | 0.131375i | ||||
\(285\) | −7.36048 | + | 3.25816i | −0.435997 | + | 0.192997i | ||||
\(286\) | 4.66317 | − | 7.40490i | 0.275739 | − | 0.437861i | ||||
\(287\) | −7.01192 | −0.413900 | ||||||||
\(288\) | 11.7059 | + | 9.98529i | 0.689776 | + | 0.588389i | ||||
\(289\) | 1.00357 | + | 3.08866i | 0.0590333 | + | 0.181686i | ||||
\(290\) | −0.104332 | + | 6.70998i | −0.00612661 | + | 0.394024i | ||||
\(291\) | −2.32830 | + | 4.16049i | −0.136487 | + | 0.243892i | ||||
\(292\) | 9.87110 | + | 7.17178i | 0.577663 | + | 0.419697i | ||||
\(293\) | −28.8511 | − | 9.37430i | −1.68550 | − | 0.547652i | −0.699535 | − | 0.714599i | \(-0.746609\pi\) |
−0.985966 | + | 0.166946i | \(0.946609\pi\) | |||||||
\(294\) | −0.489618 | + | 0.225900i | −0.0285551 | + | 0.0131748i | ||||
\(295\) | 5.62844 | − | 7.49888i | 0.327700 | − | 0.436602i | ||||
\(296\) | −16.5353 | −0.961094 | ||||||||
\(297\) | −8.59007 | + | 14.9402i | −0.498447 | + | 0.866920i | ||||
\(298\) | − | 8.16495i | − | 0.472983i | ||||||
\(299\) | −10.9310 | + | 7.94187i | −0.632159 | + | 0.459290i | ||||
\(300\) | −12.8692 | − | 7.73684i | −0.743002 | − | 0.446687i | ||||
\(301\) | −6.29257 | + | 19.3666i | −0.362698 | + | 1.11627i | ||||
\(302\) | 3.23306 | + | 2.34895i | 0.186042 | + | 0.135167i | ||||
\(303\) | −11.3556 | − | 6.35483i | −0.652361 | − | 0.365075i | ||||
\(304\) | −4.89029 | − | 1.58895i | −0.280477 | − | 0.0911326i | ||||
\(305\) | −9.58370 | − | 13.6316i | −0.548761 | − | 0.780542i | ||||
\(306\) | 3.72464 | − | 4.36644i | 0.212923 | − | 0.249613i | ||||
\(307\) | −6.93259 | −0.395664 | −0.197832 | − | 0.980236i | \(-0.563390\pi\) | ||||
−0.197832 | + | 0.980236i | \(0.563390\pi\) | |||||||
\(308\) | 11.1740 | − | 9.30975i | 0.636699 | − | 0.530472i | ||||
\(309\) | −2.96520 | − | 24.9868i | −0.168684 | − | 1.42145i | ||||
\(310\) | −3.97772 | + | 5.29959i | −0.225919 | + | 0.300996i | ||||
\(311\) | 29.5560 | − | 9.60334i | 1.67597 | − | 0.544555i | 0.691846 | − | 0.722045i | \(-0.256798\pi\) |
0.984123 | + | 0.177490i | \(0.0567977\pi\) | |||||||
\(312\) | 16.7369 | + | 3.32382i | 0.947542 | + | 0.188174i | ||||
\(313\) | 16.4517 | − | 22.6438i | 0.929905 | − | 1.27990i | −0.0299919 | − | 0.999550i | \(-0.509548\pi\) |
0.959897 | − | 0.280354i | \(-0.0904519\pi\) | |||||||
\(314\) | 2.02911 | + | 1.47424i | 0.114509 | + | 0.0831960i | ||||
\(315\) | 16.5545 | − | 3.71387i | 0.932739 | − | 0.209253i | ||||
\(316\) | −2.13208 | + | 0.692755i | −0.119939 | + | 0.0389705i | ||||
\(317\) | 0.803948 | − | 0.584102i | 0.0451542 | − | 0.0328064i | −0.564979 | − | 0.825105i | \(-0.691116\pi\) |
0.610133 | + | 0.792299i | \(0.291116\pi\) | |||||||
\(318\) | −0.657121 | − | 5.53736i | −0.0368495 | − | 0.310520i | ||||
\(319\) | −16.3272 | − | 10.2819i | −0.914145 | − | 0.575674i | ||||
\(320\) | −1.51459 | − | 4.92044i | −0.0846680 | − | 0.275061i | ||||
\(321\) | 4.18925 | + | 4.52910i | 0.233821 | + | 0.252790i | ||||
\(322\) | 3.27803 | − | 1.06510i | 0.182678 | − | 0.0593556i | ||||
\(323\) | −2.38170 | + | 7.33013i | −0.132521 | + | 0.407859i | ||||
\(324\) | −15.4158 | − | 2.42213i | −0.856431 | − | 0.134563i | ||||
\(325\) | −25.5607 | − | 0.795069i | −1.41785 | − | 0.0441025i | ||||
\(326\) | 2.27469 | − | 7.00077i | 0.125983 | − | 0.387737i | ||||
\(327\) | −30.1861 | + | 13.9273i | −1.66930 | + | 0.770180i | ||||
\(328\) | 3.13896 | + | 4.32041i | 0.173320 | + | 0.238555i | ||||
\(329\) | 9.00606 | 0.496520 | ||||||||
\(330\) | −5.86833 | + | 3.07788i | −0.323041 | + | 0.169432i | ||||
\(331\) | 8.13063 | 0.446900 | 0.223450 | − | 0.974715i | \(-0.428268\pi\) | ||||
0.223450 | + | 0.974715i | \(0.428268\pi\) | |||||||
\(332\) | −11.8562 | − | 16.3186i | −0.650691 | − | 0.895599i | ||||
\(333\) | 21.9499 | − | 13.4695i | 1.20284 | − | 0.738125i | ||||
\(334\) | 2.03522 | − | 6.26375i | 0.111362 | − | 0.342737i | ||||
\(335\) | −23.7044 | − | 8.11159i | −1.29511 | − | 0.443184i | ||||
\(336\) | 9.45765 | + | 5.29271i | 0.515957 | + | 0.288741i | ||||
\(337\) | 0.604185 | − | 1.85949i | 0.0329121 | − | 0.101293i | −0.933251 | − | 0.359225i | \(-0.883041\pi\) |
0.966163 | + | 0.257932i | \(0.0830411\pi\) | |||||||
\(338\) | 6.45621 | − | 2.09775i | 0.351172 | − | 0.114103i | ||||
\(339\) | −11.3787 | + | 10.5249i | −0.618008 | + | 0.571634i | ||||
\(340\) | −13.7415 | + | 4.22985i | −0.745238 | + | 0.229396i | ||||
\(341\) | −7.07519 | − | 17.6895i | −0.383143 | − | 0.957941i | ||||
\(342\) | −3.12714 | + | 0.752800i | −0.169096 | + | 0.0407068i | ||||
\(343\) | −15.5576 | + | 11.3032i | −0.840030 | + | 0.610318i | ||||
\(344\) | 14.7497 | − | 4.79247i | 0.795250 | − | 0.258392i | ||||
\(345\) | 10.1777 | − | 1.04761i | 0.547949 | − | 0.0564013i | ||||
\(346\) | 1.89418 | + | 1.37620i | 0.101832 | + | 0.0739852i | ||||
\(347\) | 8.81998 | − | 12.1397i | 0.473481 | − | 0.651691i | −0.503755 | − | 0.863847i | \(-0.668048\pi\) |
0.977236 | + | 0.212156i | \(0.0680485\pi\) | |||||||
\(348\) | 3.40319 | − | 17.1366i | 0.182430 | − | 0.918619i | ||||
\(349\) | −3.13156 | + | 1.01751i | −0.167628 | + | 0.0544658i | −0.391629 | − | 0.920123i | \(-0.628088\pi\) |
0.224000 | + | 0.974589i | \(0.428088\pi\) | |||||||
\(350\) | 6.13860 | + | 2.20781i | 0.328122 | + | 0.118012i | ||||
\(351\) | −24.9251 | + | 9.22156i | −1.33040 | + | 0.492210i | ||||
\(352\) | −16.4903 | − | 4.17277i | −0.878935 | − | 0.222409i | ||||
\(353\) | −2.22323 | −0.118331 | −0.0591654 | − | 0.998248i | \(-0.518844\pi\) | ||||
−0.0591654 | + | 0.998248i | \(0.518844\pi\) | |||||||
\(354\) | 2.75047 | − | 2.54408i | 0.146186 | − | 0.135216i | ||||
\(355\) | −2.02979 | − | 2.88712i | −0.107730 | − | 0.153232i | ||||
\(356\) | 10.1428 | + | 3.29558i | 0.537565 | + | 0.174665i | ||||
\(357\) | 7.93332 | − | 14.1762i | 0.419876 | − | 0.750285i | ||||
\(358\) | 4.53343 | + | 3.29373i | 0.239599 | + | 0.174079i | ||||
\(359\) | −4.73786 | + | 14.5816i | −0.250055 | + | 0.769590i | 0.744709 | + | 0.667389i | \(0.232588\pi\) |
−0.994764 | + | 0.102200i | \(0.967412\pi\) | |||||||
\(360\) | −9.69911 | − | 8.53753i | −0.511188 | − | 0.449967i | ||||
\(361\) | −11.8768 | + | 8.62899i | −0.625094 | + | 0.454157i | ||||
\(362\) | 4.72951i | 0.248578i | ||||||||
\(363\) | 1.20724 | − | 19.0143i | 0.0633639 | − | 0.997990i | ||||
\(364\) | 22.4286 | 1.17558 | ||||||||
\(365\) | −12.5848 | − | 9.44578i | −0.658719 | − | 0.494415i | ||||
\(366\) | −2.78954 | − | 6.04607i | −0.145812 | − | 0.316033i | ||||
\(367\) | 20.7145 | + | 6.73055i | 1.08129 | + | 0.351332i | 0.794874 | − | 0.606774i | \(-0.207537\pi\) |
0.286414 | + | 0.958106i | \(0.407537\pi\) | |||||||
\(368\) | 5.28764 | + | 3.84170i | 0.275638 | + | 0.200262i | ||||
\(369\) | −7.68621 | − | 3.17818i | −0.400128 | − | 0.165449i | ||||
\(370\) | 9.90112 | + | 0.153951i | 0.514735 | + | 0.00800353i | ||||
\(371\) | −4.87742 | − | 15.0112i | −0.253223 | − | 0.779340i | ||||
\(372\) | 12.6644 | − | 11.7141i | 0.656619 | − | 0.607348i | ||||
\(373\) | 12.9633 | 0.671212 | 0.335606 | − | 0.942003i | \(-0.391059\pi\) | ||||
0.335606 | + | 0.942003i | \(0.391059\pi\) | |||||||
\(374\) | −1.55650 | + | 6.15108i | −0.0804845 | + | 0.318065i | ||||
\(375\) | 16.4394 | + | 10.2345i | 0.848928 | + | 0.528509i | ||||
\(376\) | −4.03166 | − | 5.54911i | −0.207917 | − | 0.286173i | ||||
\(377\) | −9.19476 | − | 28.2986i | −0.473554 | − | 1.45745i | ||||
\(378\) | 6.77401 | − | 0.272429i | 0.348417 | − | 0.0140122i | ||||
\(379\) | 14.7670 | + | 10.7289i | 0.758530 | + | 0.551104i | 0.898459 | − | 0.439057i | \(-0.144687\pi\) |
−0.139929 | + | 0.990162i | \(0.544687\pi\) | |||||||
\(380\) | 7.62383 | + | 2.60885i | 0.391094 | + | 0.133831i | ||||
\(381\) | 0.452408 | − | 2.27808i | 0.0231776 | − | 0.116710i | ||||
\(382\) | 0.173316 | + | 0.533411i | 0.00886760 | + | 0.0272917i | ||||
\(383\) | −28.2216 | + | 20.5042i | −1.44206 | + | 1.04772i | −0.454451 | + | 0.890772i | \(0.650164\pi\) |
−0.987607 | + | 0.156945i | \(0.949836\pi\) | |||||||
\(384\) | −2.33609 | − | 19.6855i | −0.119213 | − | 1.00457i | ||||
\(385\) | −14.5953 | + | 11.7807i | −0.743847 | + | 0.600400i | ||||
\(386\) | − | 1.04042i | − | 0.0529562i | ||||||
\(387\) | −15.6757 | + | 18.3768i | −0.796839 | + | 0.934144i | ||||
\(388\) | 4.53910 | − | 1.47484i | 0.230438 | − | 0.0748738i | ||||
\(389\) | 5.24356 | + | 1.70374i | 0.265859 | + | 0.0863829i | 0.438913 | − | 0.898529i | \(-0.355364\pi\) |
−0.173054 | + | 0.984912i | \(0.555364\pi\) | |||||||
\(390\) | −9.99092 | − | 2.14609i | −0.505910 | − | 0.108671i | ||||
\(391\) | 5.75838 | − | 7.92573i | 0.291214 | − | 0.400821i | ||||
\(392\) | 1.10553 | + | 0.359208i | 0.0558376 | + | 0.0181428i | ||||
\(393\) | 13.2064 | + | 28.6238i | 0.666177 | + | 1.44388i | ||||
\(394\) | −5.13650 | + | 3.73189i | −0.258773 | + | 0.188010i | ||||
\(395\) | 2.76317 | − | 0.850546i | 0.139030 | − | 0.0427956i | ||||
\(396\) | 16.4682 | − | 5.14034i | 0.827560 | − | 0.258312i | ||||
\(397\) | − | 3.53950i | − | 0.177642i | −0.996048 | − | 0.0888212i | \(-0.971690\pi\) | ||
0.996048 | − | 0.0888212i | \(-0.0283100\pi\) | |||||||
\(398\) | −0.677273 | − | 0.932187i | −0.0339486 | − | 0.0467263i | ||||
\(399\) | −8.26687 | + | 3.81417i | −0.413861 | + | 0.190947i | ||||
\(400\) | 3.45503 | + | 11.8781i | 0.172752 | + | 0.593904i | ||||
\(401\) | 13.4903 | − | 18.5679i | 0.673676 | − | 0.927235i | −0.326161 | − | 0.945314i | \(-0.605755\pi\) |
0.999837 | + | 0.0180793i | \(0.00575515\pi\) | |||||||
\(402\) | −8.73640 | − | 4.88908i | −0.435732 | − | 0.243845i | ||||
\(403\) | 9.07899 | − | 27.9423i | 0.452257 | − | 1.39190i | ||||
\(404\) | 4.02541 | + | 12.3889i | 0.200272 | + | 0.616373i | ||||
\(405\) | 19.8297 | + | 3.43237i | 0.985348 | + | 0.170556i | ||||
\(406\) | 7.59034i | 0.376702i | ||||||||
\(407\) | −15.1717 | + | 24.0920i | −0.752035 | + | 1.19420i | ||||
\(408\) | −12.2861 | + | 1.45800i | −0.608255 | + | 0.0721819i | ||||
\(409\) | −10.7191 | − | 14.7536i | −0.530026 | − | 0.729518i | 0.457108 | − | 0.889411i | \(-0.348885\pi\) |
−0.987134 | + | 0.159893i | \(0.948885\pi\) | |||||||
\(410\) | −1.83935 | − | 2.61623i | −0.0908388 | − | 0.129207i | ||||
\(411\) | 4.07350 | − | 20.5119i | 0.200931 | − | 1.01178i | ||||
\(412\) | −14.8055 | + | 20.3780i | −0.729415 | + | 1.00395i | ||||
\(413\) | 6.23348 | − | 8.57965i | 0.306730 | − | 0.422177i | ||||
\(414\) | 4.07602 | + | 0.318261i | 0.200326 | + | 0.0156417i | ||||
\(415\) | 14.9611 | + | 21.2802i | 0.734411 | + | 1.04460i | ||||
\(416\) | −15.4184 | − | 21.2216i | −0.755950 | − | 1.04048i | ||||
\(417\) | −0.0171088 | − | 0.144171i | −0.000837824 | − | 0.00706008i | ||||
\(418\) | 2.73199 | − | 2.27618i | 0.133626 | − | 0.111332i | ||||
\(419\) | 16.4557i | 0.803915i | 0.915658 | + | 0.401958i | \(0.131670\pi\) | ||||
−0.915658 | + | 0.401958i | \(0.868330\pi\) | |||||||
\(420\) | −14.6901 | − | 8.52350i | −0.716805 | − | 0.415904i | ||||
\(421\) | −2.56611 | − | 7.89766i | −0.125064 | − | 0.384908i | 0.868848 | − | 0.495078i | \(-0.164861\pi\) |
−0.993913 | + | 0.110170i | \(0.964861\pi\) | |||||||
\(422\) | 1.99214 | − | 6.13118i | 0.0969759 | − | 0.298461i | ||||
\(423\) | 9.87212 | + | 4.08203i | 0.479999 | + | 0.198475i | ||||
\(424\) | −7.06573 | + | 9.72514i | −0.343142 | + | 0.472295i | ||||
\(425\) | 17.8042 | − | 5.17879i | 0.863631 | − | 0.251208i | ||||
\(426\) | −0.590814 | − | 1.28053i | −0.0286250 | − | 0.0620421i | ||||
\(427\) | −11.0782 | − | 15.2478i | −0.536110 | − | 0.737892i | ||||
\(428\) | − | 6.17598i | − | 0.298527i | ||||||
\(429\) | 20.1996 | − | 21.3361i | 0.975245 | − | 1.03012i | ||||
\(430\) | −8.87655 | + | 2.73234i | −0.428065 | + | 0.131765i | ||||
\(431\) | −1.30305 | + | 0.946719i | −0.0627656 | + | 0.0456019i | −0.618726 | − | 0.785607i | \(-0.712351\pi\) |
0.555960 | + | 0.831209i | \(0.312351\pi\) | |||||||
\(432\) | 7.96820 | + | 10.0884i | 0.383370 | + | 0.485378i | ||||
\(433\) | 32.5345 | + | 10.5711i | 1.56351 | + | 0.508014i | 0.957742 | − | 0.287629i | \(-0.0928670\pi\) |
0.605765 | + | 0.795643i | \(0.292867\pi\) | |||||||
\(434\) | −4.40531 | + | 6.06339i | −0.211462 | + | 0.291052i | ||||
\(435\) | −4.73194 | + | 22.0291i | −0.226879 | + | 1.05621i | ||||
\(436\) | 31.6503 | + | 10.2838i | 1.51578 | + | 0.492505i | ||||
\(437\) | −5.22173 | + | 1.69664i | −0.249789 | + | 0.0811615i | ||||
\(438\) | −4.26954 | − | 4.61591i | −0.204006 | − | 0.220556i | ||||
\(439\) | 33.7426i | 1.61045i | 0.592971 | + | 0.805224i | \(0.297955\pi\) | ||||
−0.592971 | + | 0.805224i | \(0.702045\pi\) | |||||||
\(440\) | 13.7925 | + | 3.71920i | 0.657530 | + | 0.177306i | ||||
\(441\) | −1.76015 | + | 0.423723i | −0.0838166 | + | 0.0201773i | ||||
\(442\) | −7.91592 | + | 5.75126i | −0.376522 | + | 0.273559i | ||||
\(443\) | 9.84243 | + | 30.2919i | 0.467628 | + | 1.43921i | 0.855647 | + | 0.517560i | \(0.173160\pi\) |
−0.388019 | + | 0.921651i | \(0.626840\pi\) | |||||||
\(444\) | −25.2865 | − | 5.02168i | −1.20004 | − | 0.238318i | ||||
\(445\) | −13.0128 | − | 4.45295i | −0.616866 | − | 0.211090i | ||||
\(446\) | −5.69157 | − | 4.13517i | −0.269504 | − | 0.195806i | ||||
\(447\) | 5.33990 | − | 26.8888i | 0.252569 | − | 1.27180i | ||||
\(448\) | −1.79941 | − | 5.53802i | −0.0850142 | − | 0.261647i | ||||
\(449\) | 11.5568 | + | 15.9065i | 0.545398 | + | 0.750675i | 0.989379 | − | 0.145361i | \(-0.0464343\pi\) |
−0.443981 | + | 0.896036i | \(0.646434\pi\) | |||||||
\(450\) | 5.72822 | + | 5.20247i | 0.270031 | + | 0.245247i | ||||
\(451\) | 9.17499 | − | 0.609355i | 0.432033 | − | 0.0286934i | ||||
\(452\) | 15.5163 | 0.729825 | ||||||||
\(453\) | 9.11089 | + | 9.85001i | 0.428067 | + | 0.462794i | ||||
\(454\) | 2.47343 | + | 7.61243i | 0.116084 | + | 0.357269i | ||||
\(455\) | −28.9212 | − | 0.449691i | −1.35585 | − | 0.0210819i | ||||
\(456\) | 6.05087 | + | 3.38620i | 0.283358 | + | 0.158573i | ||||
\(457\) | −33.4096 | − | 24.2735i | −1.56284 | − | 1.13547i | −0.933637 | − | 0.358221i | \(-0.883383\pi\) |
−0.629198 | − | 0.777245i | \(-0.716617\pi\) | |||||||
\(458\) | −1.35744 | − | 0.441057i | −0.0634288 | − | 0.0206093i | ||||
\(459\) | 15.1216 | − | 11.9436i | 0.705818 | − | 0.557481i | ||||
\(460\) | −8.19155 | − | 6.14834i | −0.381933 | − | 0.286668i | ||||
\(461\) | 11.6638 | 0.543237 | 0.271619 | − | 0.962405i | \(-0.412441\pi\) | ||||
0.271619 | + | 0.962405i | \(0.412441\pi\) | |||||||
\(462\) | −6.58253 | + | 3.58405i | −0.306247 | + | 0.166745i | ||||
\(463\) | − | 11.5131i | − | 0.535058i | −0.963550 | − | 0.267529i | \(-0.913793\pi\) | ||
0.963550 | − | 0.267529i | \(-0.0862071\pi\) | |||||||
\(464\) | −11.6444 | + | 8.46013i | −0.540576 | + | 0.392752i | ||||
\(465\) | −16.5654 | + | 14.8512i | −0.768200 | + | 0.688707i | ||||
\(466\) | −4.50080 | + | 13.8520i | −0.208495 | + | 0.641683i | ||||
\(467\) | 23.8875 | + | 17.3553i | 1.10538 | + | 0.803108i | 0.981930 | − | 0.189243i | \(-0.0606033\pi\) |
0.123453 | + | 0.992350i | \(0.460603\pi\) | |||||||
\(468\) | 24.5854 | + | 10.1658i | 1.13646 | + | 0.469916i | ||||
\(469\) | −26.9506 | − | 8.75679i | −1.24446 | − | 0.404351i | ||||
\(470\) | 2.36245 | + | 3.36027i | 0.108971 | + | 0.154998i | ||||
\(471\) | 5.71812 | + | 6.18200i | 0.263477 | + | 0.284852i | ||||
\(472\) | −8.07687 | −0.371768 | ||||||||
\(473\) | 6.55073 | − | 25.8877i | 0.301203 | − | 1.19032i | ||||
\(474\) | 1.14722 | − | 0.136141i | 0.0526935 | − | 0.00625317i | ||||
\(475\) | −9.77847 | − | 3.51692i | −0.448667 | − | 0.161367i | ||||
\(476\) | −15.4663 | + | 5.02529i | −0.708895 | + | 0.230334i | ||||
\(477\) | 1.45742 | − | 18.6654i | 0.0667305 | − | 0.854630i | ||||
\(478\) | 6.24621 | − | 8.59717i | 0.285695 | − | 0.393225i | ||||
\(479\) | 15.1094 | + | 10.9776i | 0.690366 | + | 0.501580i | 0.876780 | − | 0.480891i | \(-0.159687\pi\) |
−0.186415 | + | 0.982471i | \(0.559687\pi\) | |||||||
\(480\) | 2.03383 | + | 19.7590i | 0.0928314 | + | 0.901873i | ||||
\(481\) | −41.7568 | + | 13.5676i | −1.90395 | + | 0.618630i | ||||
\(482\) | 10.6595 | − | 7.74460i | 0.485528 | − | 0.352757i | ||||
\(483\) | 11.4918 | − | 1.36374i | 0.522895 | − | 0.0620522i | ||||
\(484\) | −13.8120 | + | 13.1527i | −0.627818 | + | 0.597851i | ||||
\(485\) | −5.88265 | + | 1.81077i | −0.267117 | + | 0.0822229i | ||||
\(486\) | 7.54890 | + | 2.77172i | 0.342425 | + | 0.125728i | ||||
\(487\) | 6.83037 | − | 2.21932i | 0.309513 | − | 0.100567i | −0.150142 | − | 0.988664i | \(-0.547973\pi\) |
0.459655 | + | 0.888097i | \(0.347973\pi\) | |||||||
\(488\) | −4.43570 | + | 13.6517i | −0.200795 | + | 0.617983i | ||||
\(489\) | 12.0695 | − | 21.5673i | 0.545803 | − | 0.975306i | ||||
\(490\) | −0.658633 | − | 0.225382i | −0.0297540 | − | 0.0101817i | ||||
\(491\) | −8.44246 | + | 25.9832i | −0.381003 | + | 1.17261i | 0.558336 | + | 0.829615i | \(0.311440\pi\) |
−0.939339 | + | 0.342991i | \(0.888560\pi\) | |||||||
\(492\) | 3.48815 | + | 7.56024i | 0.157258 | + | 0.340842i | ||||
\(493\) | 12.6810 | + | 17.4539i | 0.571124 | + | 0.786085i | ||||
\(494\) | 5.48367 | 0.246722 | ||||||||
\(495\) | −21.3385 | + | 6.29818i | −0.959096 | + | 0.283082i | ||||
\(496\) | −14.2120 | −0.638138 | ||||||||
\(497\) | −2.34631 | − | 3.22942i | −0.105247 | − | 0.144859i | ||||
\(498\) | 4.35474 | + | 9.43851i | 0.195141 | + | 0.422950i | ||||
\(499\) | −1.37487 | + | 4.23141i | −0.0615475 | + | 0.189424i | −0.977103 | − | 0.212769i | \(-0.931752\pi\) |
0.915555 | + | 0.402193i | \(0.131752\pi\) | |||||||
\(500\) | −5.12426 | − | 18.6958i | −0.229164 | − | 0.836101i | ||||
\(501\) | 10.7989 | − | 19.2968i | 0.482459 | − | 0.862116i | ||||
\(502\) | −0.299081 | + | 0.920477i | −0.0133486 | + | 0.0410829i | ||||
\(503\) | 17.2838 | − | 5.61585i | 0.770647 | − | 0.250398i | 0.102805 | − | 0.994702i | \(-0.467218\pi\) |
0.667842 | + | 0.744303i | \(0.267218\pi\) | |||||||
\(504\) | −11.1191 | − | 9.48476i | −0.495285 | − | 0.422485i | ||||
\(505\) | −4.94229 | − | 16.0560i | −0.219929 | − | 0.714483i | ||||
\(506\) | −4.19670 | + | 1.67853i | −0.186566 | + | 0.0746200i | ||||
\(507\) | 22.6335 | − | 2.68593i | 1.00519 | − | 0.119286i | ||||
\(508\) | −1.88098 | + | 1.36661i | −0.0834549 | + | 0.0606335i | ||||
\(509\) | −12.7774 | + | 4.15164i | −0.566350 | + | 0.184018i | −0.578176 | − | 0.815912i | \(-0.696235\pi\) |
0.0118265 | + | 0.999930i | \(0.496235\pi\) | |||||||
\(510\) | 7.37037 | − | 0.758645i | 0.326365 | − | 0.0335934i | ||||
\(511\) | −14.3986 | − | 10.4612i | −0.636956 | − | 0.462776i | ||||
\(512\) | −13.0606 | + | 17.9763i | −0.577201 | + | 0.794449i | ||||
\(513\) | −10.7906 | + | 0.433964i | −0.476418 | + | 0.0191600i | ||||
\(514\) | −2.32151 | + | 0.754304i | −0.102397 | + | 0.0332709i | ||||
\(515\) | 19.5000 | − | 25.9802i | 0.859273 | − | 1.14483i | ||||
\(516\) | 24.0113 | − | 2.84943i | 1.05704 | − | 0.125439i | ||||
\(517\) | −11.7843 | + | 0.782651i | −0.518273 | + | 0.0344210i | ||||
\(518\) | 11.2001 | 0.492106 | ||||||||
\(519\) | 5.33789 | + | 5.77092i | 0.234307 | + | 0.253315i | ||||
\(520\) | 12.6698 | + | 18.0212i | 0.555608 | + | 0.790281i | ||||
\(521\) | −14.9131 | − | 4.84555i | −0.653353 | − | 0.212287i | −0.0364612 | − | 0.999335i | \(-0.511609\pi\) |
−0.616892 | + | 0.787048i | \(0.711609\pi\) | |||||||
\(522\) | −3.44035 | + | 8.32025i | −0.150580 | + | 0.364168i | ||||
\(523\) | −7.55250 | − | 5.48721i | −0.330248 | − | 0.239939i | 0.410288 | − | 0.911956i | \(-0.365428\pi\) |
−0.740536 | + | 0.672017i | \(0.765428\pi\) | |||||||
\(524\) | 9.75156 | − | 30.0122i | 0.425999 | − | 1.31109i | ||||
\(525\) | 18.7717 | + | 11.2854i | 0.819266 | + | 0.492536i | ||||
\(526\) | 6.54409 | − | 4.75456i | 0.285336 | − | 0.207309i | ||||
\(527\) | 21.3026i | 0.927955i | ||||||||
\(528\) | −12.8351 | − | 6.10353i | −0.558578 | − | 0.265622i | ||||
\(529\) | −16.0211 | −0.696571 | ||||||||
\(530\) | 4.32142 | − | 5.75751i | 0.187710 | − | 0.250090i | ||||
\(531\) | 10.7217 | − | 6.57936i | 0.465281 | − | 0.285520i | ||||
\(532\) | 8.66786 | + | 2.81636i | 0.375800 | + | 0.122105i | ||||
\(533\) | 11.4719 | + | 8.33480i | 0.496902 | + | 0.361020i | ||||
\(534\) | −4.79594 | − | 2.68391i | −0.207541 | − | 0.116144i | ||||
\(535\) | −0.123828 | + | 7.96381i | −0.00535355 | + | 0.344305i | ||||
\(536\) | 6.66923 | + | 20.5258i | 0.288067 | + | 0.886578i | ||||
\(537\) | 12.7754 | + | 13.8118i | 0.551298 | + | 0.596022i | ||||
\(538\) | −11.5751 | −0.499039 | ||||||||
\(539\) | 1.53773 | − | 1.28118i | 0.0662348 | − | 0.0551842i | ||||
\(540\) | −12.2395 | − | 16.0015i | −0.526703 | − | 0.688596i | ||||
\(541\) | 13.0787 | + | 18.0013i | 0.562297 | + | 0.773935i | 0.991616 | − | 0.129217i | \(-0.0412465\pi\) |
−0.429319 | + | 0.903153i | \(0.641247\pi\) | |||||||
\(542\) | 0.654207 | + | 2.01344i | 0.0281006 | + | 0.0864848i | ||||
\(543\) | −3.09311 | + | 15.5752i | −0.132738 | + | 0.668397i | ||||
\(544\) | 15.3871 | + | 11.1794i | 0.659715 | + | 0.479311i | ||||
\(545\) | −40.6063 | − | 13.8954i | −1.73938 | − | 0.595212i | ||||
\(546\) | −11.3367 | − | 2.25138i | −0.485167 | − | 0.0963503i | ||||
\(547\) | 2.56807 | + | 7.90369i | 0.109803 | + | 0.337937i | 0.990828 | − | 0.135132i | \(-0.0431459\pi\) |
−0.881025 | + | 0.473070i | \(0.843146\pi\) | |||||||
\(548\) | −16.9364 | + | 12.3050i | −0.723486 | + | 0.525644i | ||||
\(549\) | −5.23237 | − | 21.7353i | −0.223312 | − | 0.927640i | ||||
\(550\) | −8.22413 | − | 2.35542i | −0.350678 | − | 0.100436i | ||||
\(551\) | − | 12.0910i | − | 0.515094i | ||||||
\(552\) | −5.98470 | − | 6.47021i | −0.254726 | − | 0.275391i | ||||
\(553\) | 3.10998 | − | 1.01049i | 0.132250 | − | 0.0429706i | ||||
\(554\) | −2.99588 | − | 0.973419i | −0.127283 | − | 0.0413566i | ||||
\(555\) | 32.5057 | + | 6.98235i | 1.37979 | + | 0.296384i | ||||
\(556\) | −0.0854261 | + | 0.117579i | −0.00362287 | + | 0.00498646i | ||||
\(557\) | −2.06055 | − | 0.669513i | −0.0873082 | − | 0.0283682i | 0.265037 | − | 0.964238i | \(-0.414616\pi\) |
−0.352345 | + | 0.935870i | \(0.614616\pi\) | |||||||
\(558\) | −7.57720 | + | 4.64975i | −0.320769 | + | 0.196839i | ||||
\(559\) | 33.3153 | − | 24.2050i | 1.40909 | − | 1.02376i | ||||
\(560\) | 4.11626 | + | 13.3725i | 0.173944 | + | 0.565090i | ||||
\(561\) | −9.14867 | + | 19.2388i | −0.386257 | + | 0.812262i | ||||
\(562\) | 5.25325i | 0.221595i | ||||||||
\(563\) | 5.59468 | + | 7.70042i | 0.235788 | + | 0.324534i | 0.910471 | − | 0.413574i | \(-0.135720\pi\) |
−0.674683 | + | 0.738108i | \(0.735720\pi\) | |||||||
\(564\) | −4.48015 | − | 9.71033i | −0.188649 | − | 0.408879i | ||||
\(565\) | −20.0080 | − | 0.311101i | −0.841741 | − | 0.0130881i | ||||
\(566\) | −4.15655 | + | 5.72100i | −0.174713 | + | 0.240472i | ||||
\(567\) | 22.4863 | + | 3.53306i | 0.944338 | + | 0.148375i | ||||
\(568\) | −0.939465 | + | 2.89137i | −0.0394191 | + | 0.121319i | ||||
\(569\) | 10.2068 | + | 31.4135i | 0.427893 | + | 1.31692i | 0.900196 | + | 0.435484i | \(0.143423\pi\) |
−0.472303 | + | 0.881436i | \(0.656577\pi\) | |||||||
\(570\) | −3.59166 | − | 2.08395i | −0.150438 | − | 0.0872871i | ||||
\(571\) | 1.96812i | 0.0823632i | 0.999152 | + | 0.0411816i | \(0.0131122\pi\) | ||||
−0.999152 | + | 0.0411816i | \(0.986888\pi\) | |||||||
\(572\) | −29.3474 | + | 1.94910i | −1.22708 | + | 0.0814962i | ||||
\(573\) | 0.221911 | + | 1.86998i | 0.00927047 | + | 0.0781194i | ||||
\(574\) | −2.12617 | − | 2.92642i | −0.0887447 | − | 0.122147i | ||||
\(575\) | 10.4396 | + | 8.09240i | 0.435360 | + | 0.337476i | ||||
\(576\) | 0.537680 | − | 6.88617i | 0.0224033 | − | 0.286924i | ||||
\(577\) | 13.2674 | − | 18.2610i | 0.552330 | − | 0.760217i | −0.437996 | − | 0.898977i | \(-0.644312\pi\) |
0.990326 | + | 0.138760i | \(0.0443116\pi\) | |||||||
\(578\) | −0.984748 | + | 1.35539i | −0.0409601 | + | 0.0563768i | ||||
\(579\) | 0.680441 | − | 3.42633i | 0.0282782 | − | 0.142393i | ||||
\(580\) | 18.4515 | − | 12.9724i | 0.766159 | − | 0.538649i | ||||
\(581\) | 17.2941 | + | 23.8033i | 0.717480 | + | 0.987527i | ||||
\(582\) | −2.44238 | + | 0.289838i | −0.101240 | + | 0.0120142i | ||||
\(583\) | 7.68654 | + | 19.2180i | 0.318344 | + | 0.795928i | ||||
\(584\) | 13.5548i | 0.560901i | ||||||||
\(585\) | −31.4986 | − | 13.6016i | −1.30231 | − | 0.562357i | ||||
\(586\) | −4.83595 | − | 14.8835i | −0.199771 | − | 0.614832i | ||||
\(587\) | 4.67223 | − | 14.3796i | 0.192844 | − | 0.593512i | −0.807151 | − | 0.590345i | \(-0.798992\pi\) |
0.999995 | − | 0.00316706i | \(-0.00100811\pi\) | |||||||
\(588\) | 1.58153 | + | 0.885060i | 0.0652213 | + | 0.0364993i | ||||
\(589\) | 7.01743 | − | 9.65866i | 0.289148 | − | 0.397978i | ||||
\(590\) | 4.83633 | + | 0.0751993i | 0.199108 | + | 0.00309591i | ||||
\(591\) | −19.3562 | + | 8.93057i | −0.796208 | + | 0.367355i | ||||
\(592\) | 12.4836 | + | 17.1822i | 0.513073 | + | 0.706184i | ||||
\(593\) | − | 28.2577i | − | 1.16040i | −0.814473 | − | 0.580201i | \(-0.802974\pi\) | ||
0.814473 | − | 0.580201i | \(-0.197026\pi\) | |||||||
\(594\) | −8.84001 | + | 0.945149i | −0.362710 | + | 0.0387799i | ||||
\(595\) | 20.0442 | − | 6.16992i | 0.821732 | − | 0.252942i | ||||
\(596\) | −22.2017 | + | 16.1305i | −0.909417 | + | 0.660730i | ||||
\(597\) | −1.62074 | − | 3.51282i | −0.0663327 | − | 0.143770i | ||||
\(598\) | −6.62908 | − | 2.15392i | −0.271083 | − | 0.0880803i | ||||
\(599\) | 23.6634 | − | 32.5699i | 0.966860 | − | 1.33077i | 0.0232423 | − | 0.999730i | \(-0.492601\pi\) |
0.943617 | − | 0.331038i | \(-0.107399\pi\) | |||||||
\(600\) | −1.44984 | − | 16.6183i | −0.0591893 | − | 0.678440i | ||||
\(601\) | 16.6622 | + | 5.41387i | 0.679665 | + | 0.220837i | 0.628449 | − | 0.777851i | \(-0.283690\pi\) |
0.0512163 | + | 0.998688i | \(0.483690\pi\) | |||||||
\(602\) | −9.99068 | + | 3.24617i | −0.407190 | + | 0.132304i | ||||
\(603\) | −25.5732 | − | 21.8143i | −1.04142 | − | 0.888349i | ||||
\(604\) | − | 13.4317i | − | 0.546528i | ||||||
\(605\) | 18.0740 | − | 16.6832i | 0.734813 | − | 0.678270i | ||||
\(606\) | −0.791079 | − | 6.66618i | −0.0321354 | − | 0.270795i | ||||
\(607\) | 8.56016 | − | 6.21932i | 0.347446 | − | 0.252434i | −0.400351 | − | 0.916362i | \(-0.631112\pi\) |
0.747797 | + | 0.663928i | \(0.231112\pi\) | |||||||
\(608\) | −3.29388 | − | 10.1375i | −0.133584 | − | 0.411130i | ||||
\(609\) | −4.96410 | + | 24.9965i | −0.201155 | + | 1.01291i | ||||
\(610\) | 2.78315 | − | 8.13316i | 0.112686 | − | 0.329302i | ||||
\(611\) | −14.7344 | − | 10.7052i | −0.596090 | − | 0.433085i | ||||
\(612\) | −19.2313 | − | 1.50160i | −0.777379 | − | 0.0606986i | ||||
\(613\) | −4.52343 | − | 13.9217i | −0.182699 | − | 0.562291i | 0.817202 | − | 0.576352i | \(-0.195524\pi\) |
−0.999901 | + | 0.0140608i | \(0.995524\pi\) | |||||||
\(614\) | −2.10212 | − | 2.89332i | −0.0848345 | − | 0.116765i | ||||
\(615\) | −4.34631 | − | 9.81872i | −0.175260 | − | 0.395929i | ||||
\(616\) | 15.6637 | + | 3.96361i | 0.631108 | + | 0.159698i | ||||
\(617\) | −9.01979 | −0.363123 | −0.181562 | − | 0.983380i | \(-0.558115\pi\) | ||||
−0.181562 | + | 0.983380i | \(0.558115\pi\) | |||||||
\(618\) | 9.52914 | − | 8.81410i | 0.383318 | − | 0.354555i | ||||
\(619\) | 2.03021 | + | 6.24834i | 0.0816009 | + | 0.251142i | 0.983531 | − | 0.180741i | \(-0.0578495\pi\) |
−0.901930 | + | 0.431883i | \(0.857849\pi\) | |||||||
\(620\) | 22.2686 | + | 0.346251i | 0.894330 | + | 0.0139058i | ||||
\(621\) | 13.2150 | + | 3.71383i | 0.530300 | + | 0.149031i | ||||
\(622\) | 12.9700 | + | 9.42326i | 0.520050 | + | 0.377838i | ||||
\(623\) | −14.7948 | − | 4.80713i | −0.592743 | − | 0.192594i | ||||
\(624\) | −9.18198 | − | 19.9011i | −0.367574 | − | 0.796682i | ||||
\(625\) | 6.23278 | + | 24.2106i | 0.249311 | + | 0.968423i | ||||
\(626\) | 14.4389 | 0.577096 | ||||||||
\(627\) | 10.4856 | − | 5.70920i | 0.418755 | − | 0.228003i | ||||
\(628\) | − | 8.42992i | − | 0.336390i | ||||||
\(629\) | 25.7547 | − | 18.7119i | 1.02691 | − | 0.746090i | ||||
\(630\) | 6.56968 | + | 5.78288i | 0.261742 | + | 0.230396i | ||||
\(631\) | 5.89065 | − | 18.1296i | 0.234503 | − | 0.721726i | −0.762684 | − | 0.646771i | \(-0.776119\pi\) |
0.997187 | − | 0.0749547i | \(-0.0238812\pi\) | |||||||
\(632\) | −2.01484 | − | 1.46387i | −0.0801459 | − | 0.0582294i | ||||
\(633\) | 10.5703 | − | 18.8883i | 0.420133 | − | 0.750744i | ||||
\(634\) | 0.487550 | + | 0.158415i | 0.0193631 | + | 0.00629145i | ||||
\(635\) | 2.45288 | − | 1.72450i | 0.0973397 | − | 0.0684348i | ||||
\(636\) | −13.7587 | + | 12.7263i | −0.545568 | + | 0.504630i | ||||
\(637\) | 3.08655 | 0.122293 | ||||||||
\(638\) | −0.659621 | − | 9.93184i | −0.0261146 | − | 0.393205i | ||||
\(639\) | −1.10819 | − | 4.60345i | −0.0438395 | − | 0.182110i | ||||
\(640\) | 15.3628 | − | 20.4681i | 0.607267 | − | 0.809074i | ||||
\(641\) | −16.0126 | + | 5.20282i | −0.632461 | + | 0.205499i | −0.607665 | − | 0.794194i | \(-0.707894\pi\) |
−0.0247960 | + | 0.999693i | \(0.507894\pi\) | |||||||
\(642\) | −0.619946 | + | 3.12171i | −0.0244673 | + | 0.123204i | ||||
\(643\) | −17.4791 | + | 24.0580i | −0.689310 | + | 0.948754i | −0.999998 | − | 0.00175788i | \(-0.999440\pi\) |
0.310688 | + | 0.950512i | \(0.399440\pi\) | |||||||
\(644\) | −9.37216 | − | 6.80927i | −0.369315 | − | 0.268323i | ||||
\(645\) | −31.0192 | + | 3.19286i | −1.22138 | + | 0.125719i | ||||
\(646\) | −3.78142 | + | 1.22866i | −0.148778 | + | 0.0483408i | ||||
\(647\) | 8.05918 | − | 5.85534i | 0.316839 | − | 0.230197i | −0.417986 | − | 0.908453i | \(-0.637264\pi\) |
0.734826 | + | 0.678256i | \(0.237264\pi\) | |||||||
\(648\) | −7.88936 | − | 15.4366i | −0.309923 | − | 0.606408i | ||||
\(649\) | −7.41082 | + | 11.7681i | −0.290900 | + | 0.461937i | ||||
\(650\) | −7.41875 | − | 10.9088i | −0.290987 | − | 0.427879i | ||||
\(651\) | −18.4731 | + | 17.0869i | −0.724016 | + | 0.669688i | ||||
\(652\) | −23.5299 | + | 7.64534i | −0.921503 | + | 0.299414i | ||||
\(653\) | 9.82191 | − | 30.2287i | 0.384361 | − | 1.18294i | −0.552582 | − | 0.833459i | \(-0.686357\pi\) |
0.936943 | − | 0.349483i | \(-0.113643\pi\) | |||||||
\(654\) | −14.9657 | − | 8.37511i | −0.585204 | − | 0.327493i | ||||
\(655\) | −13.1762 | + | 38.5046i | −0.514836 | + | 1.50450i | ||||
\(656\) | 2.11963 | − | 6.52354i | 0.0827575 | − | 0.254701i | ||||
\(657\) | −11.0416 | − | 17.9934i | −0.430775 | − | 0.701989i | ||||
\(658\) | 2.73084 | + | 3.75868i | 0.106459 | + | 0.146529i | ||||
\(659\) | 10.4078 | 0.405432 | 0.202716 | − | 0.979238i | \(-0.435023\pi\) | ||||
0.202716 | + | 0.979238i | \(0.435023\pi\) | |||||||
\(660\) | 19.9625 | + | 9.87626i | 0.777040 | + | 0.384433i | ||||
\(661\) | 11.5700 | 0.450020 | 0.225010 | − | 0.974356i | \(-0.427758\pi\) | ||||
0.225010 | + | 0.974356i | \(0.427758\pi\) | |||||||
\(662\) | 2.46539 | + | 3.39332i | 0.0958202 | + | 0.131885i | ||||
\(663\) | −29.8301 | + | 13.7630i | −1.15850 | + | 0.534511i | ||||
\(664\) | 6.92456 | − | 21.3116i | 0.268725 | − | 0.827051i | ||||
\(665\) | −11.1206 | − | 3.80543i | −0.431237 | − | 0.147568i | ||||
\(666\) | 12.2772 | + | 5.07651i | 0.475732 | + | 0.196711i | ||||
\(667\) | −4.74920 | + | 14.6165i | −0.183890 | + | 0.565955i | ||||
\(668\) | −21.0528 | + | 6.84046i | −0.814556 | + | 0.264665i | ||||
\(669\) | −16.0391 | − | 17.3402i | −0.620106 | − | 0.670412i | ||||
\(670\) | −3.80235 | − | 12.3527i | −0.146897 | − | 0.477225i | ||||
\(671\) | 15.8207 | + | 18.9888i | 0.610751 | + | 0.733054i | ||||
\(672\) | 2.64757 | + | 22.3103i | 0.102132 | + | 0.860637i | ||||
\(673\) | 8.69733 | − | 6.31898i | 0.335258 | − | 0.243579i | −0.407401 | − | 0.913250i | \(-0.633565\pi\) |
0.742658 | + | 0.669671i | \(0.233565\pi\) | |||||||
\(674\) | 0.959261 | − | 0.311683i | 0.0369494 | − | 0.0120056i | ||||
\(675\) | 15.4617 | + | 20.8790i | 0.595123 | + | 0.803635i | ||||
\(676\) | −18.4588 | − | 13.4111i | −0.709954 | − | 0.515812i | ||||
\(677\) | 15.2989 | − | 21.0571i | 0.587984 | − | 0.809291i | −0.406558 | − | 0.913625i | \(-0.633271\pi\) |
0.994542 | + | 0.104334i | \(0.0332711\pi\) | |||||||
\(678\) | −7.84286 | − | 1.55753i | −0.301203 | − | 0.0598165i | ||||
\(679\) | −6.62100 | + | 2.15129i | −0.254091 | + | 0.0825591i | ||||
\(680\) | −12.7746 | − | 9.58825i | −0.489884 | − | 0.367693i | ||||
\(681\) | 3.16695 | + | 26.6869i | 0.121358 | + | 1.02264i | ||||
\(682\) | 5.23736 | − | 8.31669i | 0.200549 | − | 0.318463i | ||||
\(683\) | −17.5188 | −0.670338 | −0.335169 | − | 0.942158i | \(-0.608793\pi\) | ||||
−0.335169 | + | 0.942158i | \(0.608793\pi\) | |||||||
\(684\) | 8.22487 | + | 7.01594i | 0.314486 | + | 0.268261i | ||||
\(685\) | 22.0858 | − | 15.5275i | 0.843857 | − | 0.593275i | ||||
\(686\) | −9.43482 | − | 3.06556i | −0.360223 | − | 0.117044i | ||||
\(687\) | −4.18185 | − | 2.34026i | −0.159548 | − | 0.0892864i | ||||
\(688\) | −16.1155 | − | 11.7086i | −0.614398 | − | 0.446386i | ||||
\(689\) | −9.86348 | + | 30.3567i | −0.375769 | + | 1.15650i | ||||
\(690\) | 3.52333 | + | 3.93000i | 0.134131 | + | 0.149613i | ||||
\(691\) | −21.4682 | + | 15.5976i | −0.816689 | + | 0.593359i | −0.915762 | − | 0.401721i | \(-0.868412\pi\) |
0.0990734 | + | 0.995080i | \(0.468412\pi\) | |||||||
\(692\) | − | 7.86936i | − | 0.299148i | ||||||
\(693\) | −24.0216 | + | 7.49801i | −0.912504 | + | 0.284826i | ||||
\(694\) | 7.74090 | 0.293841 | ||||||||
\(695\) | 0.112513 | − | 0.149903i | 0.00426785 | − | 0.00568614i | ||||
\(696\) | 17.6239 | − | 8.13132i | 0.668032 | − | 0.308217i | ||||
\(697\) | −9.77823 | − | 3.17714i | −0.370377 | − | 0.120343i | ||||
\(698\) | −1.37422 | − | 0.998426i | −0.0520148 | − | 0.0377910i | ||||
\(699\) | −23.8813 | + | 42.6740i | −0.903274 | + | 1.61408i | ||||
\(700\) | −6.12392 | − | 21.0535i | −0.231462 | − | 0.795746i | ||||
\(701\) | −11.2974 | − | 34.7699i | −0.426698 | − | 1.31324i | −0.901359 | − | 0.433074i | \(-0.857429\pi\) |
0.474660 | − | 0.880169i | \(-0.342571\pi\) | |||||||
\(702\) | −11.4065 | − | 7.60631i | −0.430510 | − | 0.287082i | ||||
\(703\) | −17.8412 | −0.672895 | ||||||||
\(704\) | 2.83577 | + | 7.09004i | 0.106877 | + | 0.267216i | ||||
\(705\) | 5.58238 | + | 12.6111i | 0.210245 | + | 0.474962i | ||||
\(706\) | −0.674135 | − | 0.927867i | −0.0253714 | − | 0.0349207i | ||||
\(707\) | −5.87171 | − | 18.0713i | −0.220828 | − | 0.679640i | ||||
\(708\) | −12.3515 | − | 2.45290i | −0.464197 | − | 0.0921858i | ||||
\(709\) | 22.0323 | + | 16.0074i | 0.827439 | + | 0.601170i | 0.918834 | − | 0.394645i | \(-0.129132\pi\) |
−0.0913944 | + | 0.995815i | \(0.529132\pi\) | |||||||
\(710\) | 0.589460 | − | 1.72257i | 0.0221220 | − | 0.0646470i | ||||
\(711\) | 3.86706 | + | 0.301945i | 0.145026 | + | 0.0113238i | ||||
\(712\) | 3.66115 | + | 11.2678i | 0.137207 | + | 0.422280i | ||||
\(713\) | −12.2770 | + | 8.91978i | −0.459778 | + | 0.334048i | ||||
\(714\) | 8.32200 | − | 0.987577i | 0.311443 | − | 0.0369591i | ||||
\(715\) | 37.8820 | − | 1.92492i | 1.41671 | − | 0.0719878i | ||||
\(716\) | − | 18.8341i | − | 0.703862i | ||||||
\(717\) | 26.1926 | − | 24.2272i | 0.978181 | − | 0.904781i | ||||
\(718\) | −7.52228 | + | 2.44414i | −0.280729 | + | 0.0912143i | ||||
\(719\) | −13.5386 | − | 4.39895i | −0.504904 | − | 0.164053i | 0.0454795 | − | 0.998965i | \(-0.485518\pi\) |
−0.550383 | + | 0.834912i | \(0.685518\pi\) | |||||||
\(720\) | −1.54903 | + | 16.5241i | −0.0577291 | + | 0.615818i | ||||
\(721\) | 21.5962 | − | 29.7246i | 0.804285 | − | 1.10700i | ||||
\(722\) | −7.20262 | − | 2.34027i | −0.268054 | − | 0.0870959i | ||||
\(723\) | 40.1690 | − | 18.5332i | 1.49390 | − | 0.689256i | ||||
\(724\) | 12.8602 | − | 9.34350i | 0.477947 | − | 0.347249i | ||||
\(725\) | −24.0530 | + | 16.3577i | −0.893306 | + | 0.607509i | ||||
\(726\) | 8.30167 | − | 5.26171i | 0.308104 | − | 0.195281i | ||||
\(727\) | − | 32.9857i | − | 1.22337i | −0.791100 | − | 0.611687i | \(-0.790491\pi\) | ||
0.791100 | − | 0.611687i | \(-0.209509\pi\) | |||||||
\(728\) | 14.6455 | + | 20.1579i | 0.542800 | + | 0.747100i | ||||
\(729\) | 23.0473 | + | 14.0648i | 0.853605 | + | 0.520920i | ||||
\(730\) | 0.126201 | − | 8.11644i | 0.00467092 | − | 0.300403i | ||||
\(731\) | −17.5502 | + | 24.1558i | −0.649117 | + | 0.893433i | ||||
\(732\) | −10.9292 | + | 19.5296i | −0.403955 | + | 0.721836i | ||||
\(733\) | −10.9875 | + | 33.8161i | −0.405833 | + | 1.24903i | 0.514365 | + | 0.857572i | \(0.328028\pi\) |
−0.920198 | + | 0.391454i | \(0.871972\pi\) | |||||||
\(734\) | 3.47211 | + | 10.6861i | 0.128158 | + | 0.394430i | ||||
\(735\) | −2.02161 | − | 1.17298i | −0.0745682 | − | 0.0432659i | ||||
\(736\) | 13.5488i | 0.499416i | ||||||||
\(737\) | 36.0255 | + | 9.11604i | 1.32701 | + | 0.335794i | ||||
\(738\) | −1.00422 | − | 4.17154i | −0.0369658 | − | 0.153556i | ||||
\(739\) | −24.3327 | − | 33.4911i | −0.895094 | − | 1.23199i | −0.972007 | − | 0.234953i | \(-0.924506\pi\) |
0.0769128 | − | 0.997038i | \(-0.475494\pi\) | |||||||
\(740\) | −19.1418 | − | 27.2267i | −0.703666 | − | 1.00087i | ||||
\(741\) | 18.0588 | + | 3.58633i | 0.663407 | + | 0.131747i | ||||
\(742\) | 4.78596 | − | 6.58731i | 0.175698 | − | 0.241828i | ||||
\(743\) | −3.10761 | + | 4.27726i | −0.114007 | + | 0.156917i | −0.862207 | − | 0.506556i | \(-0.830918\pi\) |
0.748200 | + | 0.663473i | \(0.230918\pi\) | |||||||
\(744\) | 18.7978 | + | 3.73309i | 0.689161 | + | 0.136862i | ||||
\(745\) | 28.9521 | − | 20.3548i | 1.06072 | − | 0.745742i | ||||
\(746\) | 3.93075 | + | 5.41021i | 0.143915 | + | 0.198082i | ||||
\(747\) | 8.16823 | + | 33.9309i | 0.298860 | + | 1.24147i | ||||
\(748\) | 19.8006 | − | 7.91958i | 0.723983 | − | 0.289568i | ||||
\(749\) | 9.00866i | 0.329169i | ||||||||
\(750\) | 0.713419 | + | 9.96433i | 0.0260504 | + | 0.363846i | ||||
\(751\) | −9.54614 | − | 29.3800i | −0.348344 | − | 1.07209i | −0.959769 | − | 0.280790i | \(-0.909404\pi\) |
0.611426 | − | 0.791302i | \(-0.290596\pi\) | |||||||
\(752\) | −2.72244 | + | 8.37880i | −0.0992770 | + | 0.305543i | ||||
\(753\) | −1.58693 | + | 2.83572i | −0.0578309 | + | 0.103339i | ||||
\(754\) | 9.02235 | − | 12.4182i | 0.328575 | − | 0.452244i | ||||
\(755\) | −0.269304 | + | 17.3199i | −0.00980099 | + | 0.630336i | ||||
\(756\) | −14.1233 | − | 17.8813i | −0.513661 | − | 0.650337i | ||||
\(757\) | −9.35522 | − | 12.8764i | −0.340021 | − | 0.467999i | 0.604426 | − | 0.796661i | \(-0.293402\pi\) |
−0.944448 | + | 0.328662i | \(0.893402\pi\) | |||||||
\(758\) | 9.41624i | 0.342013i | ||||||||
\(759\) | −14.9183 | + | 2.78310i | −0.541501 | + | 0.101020i | ||||
\(760\) | 2.63352 | + | 8.55552i | 0.0955279 | + | 0.310341i | ||||
\(761\) | 40.7087 | − | 29.5766i | 1.47569 | − | 1.07215i | 0.496777 | − | 0.867878i | \(-0.334517\pi\) |
0.978914 | − | 0.204274i | \(-0.0654832\pi\) | |||||||
\(762\) | 1.08794 | − | 0.501953i | 0.0394119 | − | 0.0181839i | ||||
\(763\) | −46.1671 | − | 15.0006i | −1.67136 | − | 0.543058i | ||||
\(764\) | 1.10802 | − | 1.52506i | 0.0400869 | − | 0.0551748i | ||||
\(765\) | 24.7683 | + | 2.32187i | 0.895498 | + | 0.0839474i | ||||
\(766\) | −17.1149 | − | 5.56096i | −0.618386 | − | 0.200926i | ||||
\(767\) | −20.3966 | + | 6.62727i | −0.736480 | + | 0.239297i | ||||
\(768\) | 1.65235 | − | 1.52836i | 0.0596240 | − | 0.0551500i | ||||
\(769\) | 20.8541i | 0.752017i | 0.926616 | + | 0.376009i | \(0.122704\pi\) | ||||
−0.926616 | + | 0.376009i | \(0.877296\pi\) | |||||||
\(770\) | −9.34231 | − | 2.51919i | −0.336674 | − | 0.0907854i | ||||
\(771\) | −8.13851 | + | 0.965801i | −0.293101 | + | 0.0347825i | ||||
\(772\) | −2.82907 | + | 2.05544i | −0.101820 | + | 0.0739768i | ||||
\(773\) | 5.39506 | + | 16.6043i | 0.194047 | + | 0.597215i | 0.999986 | + | 0.00521701i | \(0.00166063\pi\) |
−0.805940 | + | 0.591998i | \(0.798339\pi\) | |||||||
\(774\) | −12.4228 | − | 0.969984i | −0.446527 | − | 0.0348653i | ||||
\(775\) | −28.7080 | − | 0.892969i | −1.03122 | − | 0.0320764i | ||||
\(776\) | 4.28949 | + | 3.11650i | 0.153984 | + | 0.111876i | ||||
\(777\) | 36.8843 | + | 7.32493i | 1.32322 | + | 0.262780i | ||||
\(778\) | 0.878912 | + | 2.70501i | 0.0315105 | + | 0.0969794i | ||||
\(779\) | 3.38688 | + | 4.66164i | 0.121347 | + | 0.167020i | ||||
\(780\) | 13.9023 | + | 31.4065i | 0.497782 | + | 1.12453i | ||||
\(781\) | 3.35076 | + | 4.02175i | 0.119900 | + | 0.143910i | ||||
\(782\) | 5.05387 | 0.180726 | ||||||||
\(783\) | −16.7712 | + | 25.1503i | −0.599355 | + | 0.898797i | ||||
\(784\) | −0.461377 | − | 1.41997i | −0.0164777 | − | 0.0507133i | ||||
\(785\) | −0.169019 | + | 10.8702i | −0.00603256 | + | 0.387975i | ||||
\(786\) | −7.94164 | + | 14.1911i | −0.283269 | + | 0.506179i | ||||
\(787\) | 24.0431 | + | 17.4683i | 0.857043 | + | 0.622679i | 0.927079 | − | 0.374866i | \(-0.122311\pi\) |
−0.0700355 | + | 0.997544i | \(0.522311\pi\) | |||||||
\(788\) | 20.2951 | + | 6.59427i | 0.722983 | + | 0.234911i | ||||
\(789\) | 24.6605 | − | 11.3779i | 0.877937 | − | 0.405063i | ||||
\(790\) | 1.19283 | + | 0.895303i | 0.0424390 | + | 0.0318535i | ||||
\(791\) | −22.6330 | −0.804737 | ||||||||
\(792\) | 15.3734 | + | 11.4444i | 0.546271 | + | 0.406659i | ||||
\(793\) | 38.1144i | 1.35348i | ||||||||
\(794\) | 1.47721 | − | 1.07326i | 0.0524243 | − | 0.0380885i | ||||
\(795\) | 17.9967 | − | 16.1344i | 0.638278 | − | 0.572229i | ||||
\(796\) | −1.19675 | + | 3.68321i | −0.0424176 | + | 0.130548i | ||||
\(797\) | −5.25913 | − | 3.82098i | −0.186288 | − | 0.135346i | 0.490733 | − | 0.871310i | \(-0.336729\pi\) |
−0.677021 | + | 0.735964i | \(0.736729\pi\) | |||||||
\(798\) | −4.09855 | − | 2.29364i | −0.145087 | − | 0.0811939i | ||||
\(799\) | 12.5591 | + | 4.08070i | 0.444309 | + | 0.144365i | ||||
\(800\) | −15.7106 | + | 20.2675i | −0.555455 | + | 0.716563i | ||||
\(801\) | −14.0387 | − | 11.9752i | −0.496034 | − | 0.423124i | ||||
\(802\) | 11.8399 | 0.418081 | ||||||||
\(803\) | 19.7494 | + | 12.4370i | 0.696943 | + | 0.438893i | ||||
\(804\) | 3.96529 | + | 33.4143i | 0.139845 | + | 1.17843i | ||||
\(805\) | 11.9487 | + | 8.96833i | 0.421136 | + | 0.316092i | ||||
\(806\) | 14.4147 | − | 4.68361i | 0.507735 | − | 0.164973i | ||||
\(807\) | −38.1192 | − | 7.57016i | −1.34186 | − | 0.266482i | ||||
\(808\) | −8.50612 | + | 11.7077i | −0.299244 | + | 0.411874i | ||||
\(809\) | 26.2994 | + | 19.1076i | 0.924636 | + | 0.671787i | 0.944674 | − | 0.328012i | \(-0.106379\pi\) |
−0.0200376 | + | 0.999799i | \(0.506379\pi\) | |||||||
\(810\) | 4.58033 | + | 9.31672i | 0.160936 | + | 0.327356i | ||||
\(811\) | 27.4294 | − | 8.91235i | 0.963176 | − | 0.312955i | 0.215118 | − | 0.976588i | \(-0.430986\pi\) |
0.748058 | + | 0.663633i | \(0.230986\pi\) | |||||||
\(812\) | 20.6392 | − | 14.9953i | 0.724295 | − | 0.526231i | ||||
\(813\) | 0.837639 | + | 7.05853i | 0.0293773 | + | 0.247553i | ||||
\(814\) | −14.6552 | + | 0.973324i | −0.513665 | + | 0.0341150i | ||||
\(815\) | 30.4947 | − | 9.38674i | 1.06818 | − | 0.328803i | ||||
\(816\) | 10.7907 | + | 11.6661i | 0.377750 | + | 0.408395i | ||||
\(817\) | 15.9146 | − | 5.17098i | 0.556782 | − | 0.180910i | ||||
\(818\) | 2.90714 | − | 8.94725i | 0.101646 | − | 0.312833i | ||||
\(819\) | −35.8617 | − | 14.8285i | −1.25311 | − | 0.518150i | ||||
\(820\) | −3.48015 | + | 10.1700i | −0.121532 | + | 0.355152i | ||||
\(821\) | 10.1698 | − | 31.2993i | 0.354927 | − | 1.09235i | −0.601125 | − | 0.799155i | \(-0.705281\pi\) |
0.956052 | − | 0.293198i | \(-0.0947195\pi\) | |||||||
\(822\) | 9.79583 | − | 4.51960i | 0.341669 | − | 0.157639i | ||||
\(823\) | −20.7542 | − | 28.5657i | −0.723447 | − | 0.995739i | −0.999402 | − | 0.0345686i | \(-0.988994\pi\) |
0.275956 | − | 0.961170i | \(-0.411006\pi\) | |||||||
\(824\) | −27.9827 | −0.974824 | ||||||||
\(825\) | −25.5433 | − | 13.1355i | −0.889303 | − | 0.457319i | ||||
\(826\) | 5.47085 | 0.190355 | ||||||||
\(827\) | 7.52960 | + | 10.3636i | 0.261830 | + | 0.360378i | 0.919610 | − | 0.392832i | \(-0.128505\pi\) |
−0.657780 | + | 0.753210i | \(0.728505\pi\) | |||||||
\(828\) | −7.18709 | − | 11.7120i | −0.249769 | − | 0.407022i | ||||
\(829\) | 6.44230 | − | 19.8274i | 0.223750 | − | 0.688633i | −0.774666 | − | 0.632371i | \(-0.782082\pi\) |
0.998416 | − | 0.0562619i | \(-0.0179182\pi\) | |||||||
\(830\) | −4.34476 | + | 12.6967i | −0.150809 | + | 0.440707i | ||||
\(831\) | −9.22940 | − | 5.16498i | −0.320165 | − | 0.179171i | ||||
\(832\) | −3.63890 | + | 11.1994i | −0.126156 | + | 0.388269i | ||||
\(833\) | −2.12842 | + | 0.691564i | −0.0737453 | + | 0.0239613i | ||||
\(834\) | 0.0549820 | − | 0.0508563i | 0.00190387 | − | 0.00176101i | ||||
\(835\) | 27.2843 | − | 8.39853i | 0.944212 | − | 0.290643i | ||||
\(836\) | −11.5865 | − | 2.93190i | −0.400728 | − | 0.101402i | ||||
\(837\) | −27.9942 | + | 10.3570i | −0.967621 | + | 0.357992i | ||||
\(838\) | −6.86780 | + | 4.98975i | −0.237244 | + | 0.172368i | ||||
\(839\) | −48.4097 | + | 15.7293i | −1.67129 | + | 0.543034i | −0.983190 | − | 0.182585i | \(-0.941554\pi\) |
−0.688097 | + | 0.725619i | \(0.741554\pi\) | |||||||
\(840\) | −1.93188 | − | 18.7686i | −0.0666563 | − | 0.647578i | ||||
\(841\) | −3.91954 | − | 2.84771i | −0.135156 | − | 0.0981969i | ||||
\(842\) | 2.51799 | − | 3.46571i | 0.0867756 | − | 0.119436i | ||||
\(843\) | −3.43564 | + | 17.3000i | −0.118330 | + | 0.595844i | ||||
\(844\) | −20.6072 | + | 6.69568i | −0.709329 | + | 0.230475i | ||||
\(845\) | 23.5334 | + | 17.6635i | 0.809573 | + | 0.607642i | ||||
\(846\) | 1.28981 | + | 5.35790i | 0.0443447 | + | 0.184208i | ||||
\(847\) | 20.1470 | − | 19.1853i | 0.692259 | − | 0.659216i | ||||
\(848\) | 15.4400 | 0.530213 | ||||||||
\(849\) | −17.4299 | + | 16.1220i | −0.598193 | + | 0.553306i | ||||
\(850\) | 7.56001 | + | 5.86026i | 0.259306 | + | 0.201005i | ||||
\(851\) | 21.5679 | + | 7.00783i | 0.739338 | + | 0.240225i | ||||
\(852\) | −2.31476 | + | 4.13630i | −0.0793025 | + | 0.141707i | ||||
\(853\) | 20.5235 | + | 14.9112i | 0.702710 | + | 0.510549i | 0.880814 | − | 0.473463i | \(-0.156996\pi\) |
−0.178103 | + | 0.984012i | \(0.556996\pi\) | |||||||
\(854\) | 3.00452 | − | 9.24695i | 0.102812 | − | 0.316424i | ||||
\(855\) | −10.4651 | − | 9.21182i | −0.357900 | − | 0.315038i | ||||
\(856\) | 5.55071 | − | 4.03283i | 0.189719 | − | 0.137839i | ||||
\(857\) | − | 21.4063i | − | 0.731224i | −0.930767 | − | 0.365612i | \(-0.880860\pi\) | ||
0.930767 | − | 0.365612i | \(-0.119140\pi\) | |||||||
\(858\) | 15.0296 | + | 1.96071i | 0.513102 | + | 0.0669374i | ||||
\(859\) | −32.3252 | −1.10292 | −0.551461 | − | 0.834201i | \(-0.685929\pi\) | ||||
−0.551461 | + | 0.834201i | \(0.685929\pi\) | |||||||
\(860\) | 24.9659 | + | 18.7387i | 0.851331 | + | 0.638984i | ||||
\(861\) | −5.08802 | − | 11.0278i | −0.173399 | − | 0.375827i | ||||
\(862\) | −0.790227 | − | 0.256760i | −0.0269152 | − | 0.00874529i | ||||
\(863\) | −15.1277 | − | 10.9909i | −0.514952 | − | 0.374134i | 0.299747 | − | 0.954019i | \(-0.403098\pi\) |
−0.814699 | + | 0.579884i | \(0.803098\pi\) | |||||||
\(864\) | −7.21005 | + | 25.6557i | −0.245291 | + | 0.872826i | ||||
\(865\) | −0.157780 | + | 10.1474i | −0.00536468 | + | 0.345021i | ||||
\(866\) | 5.45334 | + | 16.7837i | 0.185312 | + | 0.570332i | ||||
\(867\) | −4.12940 | + | 3.81954i | −0.140242 | + | 0.129718i | ||||
\(868\) | 25.1903 | 0.855014 | ||||||||
\(869\) | −3.98155 | + | 1.59248i | −0.135065 | + | 0.0540213i | ||||
\(870\) | −10.6287 | + | 4.70485i | −0.360346 | + | 0.159509i | ||||
\(871\) | 33.6838 | + | 46.3618i | 1.14133 | + | 1.57091i | ||||
\(872\) | 11.4246 | + | 35.1612i | 0.386884 | + | 1.19071i | ||||
\(873\) | −8.23279 | − | 0.642826i | −0.278638 | − | 0.0217563i | ||||
\(874\) | −2.29144 | − | 1.66483i | −0.0775092 | − | 0.0563137i | ||||
\(875\) | 7.47455 | + | 27.2708i | 0.252686 | + | 0.921921i | ||||
\(876\) | −4.11652 | + | 20.7286i | −0.139084 | + | 0.700353i | ||||
\(877\) | −17.9731 | − | 55.3154i | −0.606907 | − | 1.86787i | −0.483110 | − | 0.875560i | \(-0.660493\pi\) |
−0.123797 | − | 0.992308i | \(-0.539507\pi\) | |||||||
\(878\) | −14.0825 | + | 10.2315i | −0.475261 | + | 0.345297i | ||||
\(879\) | −6.19189 | − | 52.1771i | −0.208847 | − | 1.75989i | ||||
\(880\) | −6.54816 | − | 17.1400i | −0.220739 | − | 0.577788i | ||||
\(881\) | − | 3.04775i | − | 0.102681i | −0.998681 | − | 0.0513406i | \(-0.983651\pi\) | ||
0.998681 | − | 0.0513406i | \(-0.0163494\pi\) | |||||||
\(882\) | −0.710558 | − | 0.606116i | −0.0239257 | − | 0.0204090i | ||||
\(883\) | −4.12061 | + | 1.33887i | −0.138670 | + | 0.0450565i | −0.377529 | − | 0.925998i | \(-0.623226\pi\) |
0.238860 | + | 0.971054i | \(0.423226\pi\) | |||||||
\(884\) | 31.2770 | + | 10.1625i | 1.05196 | + | 0.341802i | ||||
\(885\) | 15.8778 | + | 3.41062i | 0.533727 | + | 0.114647i | ||||
\(886\) | −9.65788 | + | 13.2929i | −0.324463 | + | 0.446585i | ||||
\(887\) | 11.4992 | + | 3.73630i | 0.386104 | + | 0.125453i | 0.495636 | − | 0.868531i | \(-0.334935\pi\) |
−0.109532 | + | 0.993983i | \(0.534935\pi\) | |||||||
\(888\) | −11.9984 | − | 26.0055i | −0.402640 | − | 0.872687i | ||||
\(889\) | 2.74371 | − | 1.99342i | 0.0920210 | − | 0.0668572i | ||||
\(890\) | −2.08734 | − | 6.78113i | −0.0699678 | − | 0.227304i | ||||
\(891\) | −29.7301 | − | 2.66883i | −0.995995 | − | 0.0894091i | ||||
\(892\) | 23.6455i | 0.791711i | ||||||||
\(893\) | −4.35009 | − | 5.98738i | −0.145570 | − | 0.200360i | ||||
\(894\) | 12.8412 | − | 5.92469i | 0.429475 | − | 0.198151i | ||||
\(895\) | −0.377621 | + | 24.2861i | −0.0126225 | + | 0.811796i | ||||
\(896\) | 17.0143 | − | 23.4181i | 0.568406 | − | 0.782344i | ||||
\(897\) | −20.4222 | − | 11.4287i | −0.681879 | − | 0.381594i | ||||
\(898\) | −3.13432 | + | 9.64644i | −0.104594 | + | 0.321906i | ||||
\(899\) | −10.3269 | − | 31.7831i | −0.344423 | − | 1.06002i | ||||
\(900\) | 2.82975 | − | 25.8537i | 0.0943249 | − | 0.861791i | ||||
\(901\) | − | 23.1433i | − | 0.771014i | ||||||
\(902\) | 3.03638 | + | 3.64441i | 0.101100 | + | 0.121346i | ||||
\(903\) | −35.0243 | + | 4.15636i | −1.16554 | + | 0.138315i | ||||
\(904\) | 10.1319 | + | 13.9454i | 0.336983 | + | 0.463817i | ||||
\(905\) | −16.7704 | + | 11.7904i | −0.557465 | + | 0.391927i | ||||
\(906\) | −1.34827 | + | 6.78917i | −0.0447934 | + | 0.225555i | ||||
\(907\) | −25.1859 | + | 34.6654i | −0.836284 | + | 1.15105i | 0.150437 | + | 0.988620i | \(0.451932\pi\) |
−0.986721 | + | 0.162427i | \(0.948068\pi\) | |||||||
\(908\) | 15.8129 | − | 21.7645i | 0.524768 | − | 0.722282i | ||||
\(909\) | 1.75452 | − | 22.4704i | 0.0581937 | − | 0.745297i | ||||
\(910\) | −8.58189 | − | 12.2066i | −0.284487 | − | 0.404646i | ||||
\(911\) | −28.5559 | − | 39.3038i | −0.946098 | − | 1.30219i | −0.953239 | − | 0.302218i | \(-0.902273\pi\) |
0.00714073 | − | 0.999975i | \(-0.497727\pi\) | |||||||
\(912\) | −1.04953 | − | 8.84407i | −0.0347534 | − | 0.292857i | ||||
\(913\) | −24.6976 | − | 29.6433i | −0.817372 | − | 0.981051i | ||||
\(914\) | − | 21.3038i | − | 0.704666i | ||||||
\(915\) | 14.4846 | − | 24.9640i | 0.478845 | − | 0.825283i | ||||
\(916\) | 1.48242 | + | 4.56241i | 0.0489804 | + | 0.150746i | ||||
\(917\) | −14.2242 | + | 43.7776i | −0.469725 | + | 1.44566i | ||||
\(918\) | 9.56990 | + | 2.68944i | 0.315854 | + | 0.0887646i | ||||
\(919\) | 17.6344 | − | 24.2717i | 0.581705 | − | 0.800649i | −0.412176 | − | 0.911104i | \(-0.635231\pi\) |
0.993881 | + | 0.110456i | \(0.0352310\pi\) | |||||||
\(920\) | 0.176899 | − | 11.3770i | 0.00583219 | − | 0.375088i | ||||
\(921\) | −5.03046 | − | 10.9031i | −0.165759 | − | 0.359268i | ||||
\(922\) | 3.53673 | + | 4.86789i | 0.116476 | + | 0.160315i | ||||
\(923\) | 8.07249i | 0.265709i | ||||||||
\(924\) | 22.7498 | + | 10.8183i | 0.748414 | + | 0.355896i | ||||
\(925\) | 24.1371 | + | 35.4921i | 0.793622 | + | 1.16697i | ||||
\(926\) | 4.80498 | − | 3.49103i | 0.157902 | − | 0.114722i | ||||
\(927\) | 37.1458 | − | 22.7945i | 1.22003 | − | 0.748670i | ||||
\(928\) | −28.3767 | − | 9.22014i | −0.931510 | − | 0.302666i | ||||
\(929\) | −29.0805 | + | 40.0259i | −0.954100 | + | 1.31321i | −0.00441860 | + | 0.999990i | \(0.501406\pi\) |
−0.949682 | + | 0.313216i | \(0.898594\pi\) | |||||||
\(930\) | −11.2211 | − | 2.41034i | −0.367955 | − | 0.0790383i | ||||
\(931\) | 1.19284 | + | 0.387578i | 0.0390939 | + | 0.0127024i | ||||
\(932\) | 46.5573 | − | 15.1274i | 1.52504 | − | 0.495514i | ||||
\(933\) | 36.5500 | + | 39.5151i | 1.19659 | + | 1.29367i | ||||
\(934\) | 15.2320i | 0.498406i | ||||||||
\(935\) | −25.6913 | + | 9.81514i | −0.840196 | + | 0.320989i | ||||
\(936\) | 6.91728 | + | 28.7345i | 0.226098 | + | 0.939215i | ||||
\(937\) | 14.1555 | − | 10.2846i | 0.462441 | − | 0.335983i | −0.332047 | − | 0.943263i | \(-0.607739\pi\) |
0.794488 | + | 0.607280i | \(0.207739\pi\) | |||||||
\(938\) | −4.51739 | − | 13.9031i | −0.147498 | − | 0.453952i | ||||
\(939\) | 47.5503 | + | 9.44310i | 1.55175 | + | 0.308164i | ||||
\(940\) | 4.46989 | − | 13.0623i | 0.145792 | − | 0.426046i | ||||
\(941\) | 29.6583 | + | 21.5481i | 0.966834 | + | 0.702446i | 0.954728 | − | 0.297480i | \(-0.0961463\pi\) |
0.0121065 | + | 0.999927i | \(0.496146\pi\) | |||||||
\(942\) | −0.846196 | + | 4.26098i | −0.0275706 | + | 0.138830i | ||||
\(943\) | −2.26329 | − | 6.96568i | −0.0737027 | − | 0.226834i | ||||
\(944\) | 6.09777 | + | 8.39286i | 0.198466 | + | 0.273164i | ||||
\(945\) | 17.8532 | + | 23.3408i | 0.580766 | + | 0.759276i | ||||
\(946\) | 12.7906 | − | 5.11578i | 0.415857 | − | 0.166328i | ||||
\(947\) | −30.8417 | −1.00222 | −0.501111 | − | 0.865383i | \(-0.667075\pi\) | ||||
−0.501111 | + | 0.865383i | \(0.667075\pi\) | |||||||
\(948\) | −2.63661 | − | 2.85050i | −0.0856330 | − | 0.0925799i | ||||
\(949\) | 11.1220 | + | 34.2301i | 0.361037 | + | 1.11116i | ||||
\(950\) | −1.49726 | − | 5.14746i | −0.0485777 | − | 0.167006i | ||||
\(951\) | 1.50200 | + | 0.840550i | 0.0487056 | + | 0.0272567i | ||||
\(952\) | −14.6158 | − | 10.6190i | −0.473700 | − | 0.344163i | ||||
\(953\) | −30.7760 | − | 9.99972i | −0.996932 | − | 0.323923i | −0.235293 | − | 0.971924i | \(-0.575605\pi\) |
−0.761639 | + | 0.648002i | \(0.775605\pi\) | |||||||
\(954\) | 8.23193 | − | 5.05152i | 0.266518 | − | 0.163549i | ||||
\(955\) | −1.45935 | + | 1.94432i | −0.0472235 | + | 0.0629168i | ||||
\(956\) | −35.7168 | −1.15516 | ||||||||
\(957\) | 4.32318 | − | 33.1389i | 0.139749 | − | 1.07123i | ||||
\(958\) | 9.63457i | 0.311279i | ||||||||
\(959\) | 24.7044 | − | 17.9488i | 0.797748 | − | 0.579598i | ||||
\(960\) | 6.63948 | − | 5.95242i | 0.214288 | − | 0.192114i | ||||
\(961\) | 0.617389 | − | 1.90013i | 0.0199158 | − | 0.0612945i | ||||
\(962\) | −18.3240 | − | 13.3132i | −0.590791 | − | 0.429235i | ||||
\(963\) | −4.08321 | + | 9.87497i | −0.131580 | + | 0.318216i | ||||
\(964\) | −42.1174 | − | 13.6848i | −1.35651 | − | 0.440757i | ||||
\(965\) | 3.68924 | − | 2.59372i | 0.118761 | − | 0.0834949i | ||||
\(966\) | 4.05373 | + | 4.38259i | 0.130427 | + | 0.141008i | ||||
\(967\) | 39.0332 | 1.25522 | 0.627611 | − | 0.778527i | \(-0.284033\pi\) | ||||
0.627611 | + | 0.778527i | \(0.284033\pi\) | |||||||
\(968\) | −20.8401 | − | 3.82510i | −0.669827 | − | 0.122943i | ||||
\(969\) | −13.2565 | + | 1.57316i | −0.425860 | + | 0.0505371i | ||||
\(970\) | −2.53948 | − | 1.90606i | −0.0815377 | − | 0.0611998i | ||||
\(971\) | −10.9744 | + | 3.56580i | −0.352185 | + | 0.114432i | −0.479767 | − | 0.877396i | \(-0.659279\pi\) |
0.127581 | + | 0.991828i | \(0.459279\pi\) | |||||||
\(972\) | −7.37671 | − | 26.0023i | −0.236608 | − | 0.834025i | ||||
\(973\) | 0.124608 | − | 0.171508i | 0.00399474 | − | 0.00549828i | ||||
\(974\) | 2.99736 | + | 2.17771i | 0.0960415 | + | 0.0697782i | ||||
\(975\) | −17.2970 | − | 40.7768i | −0.553948 | − | 1.30590i | ||||
\(976\) | 17.5346 | − | 5.69734i | 0.561269 | − | 0.182367i | ||||
\(977\) | −35.8486 | + | 26.0455i | −1.14690 | + | 0.833271i | −0.988065 | − | 0.154034i | \(-0.950773\pi\) |
−0.158834 | + | 0.987305i | \(0.550773\pi\) | |||||||
\(978\) | 12.6609 | − | 1.50247i | 0.404850 | − | 0.0480437i | ||||
\(979\) | 19.7766 | + | 5.00435i | 0.632062 | + | 0.159940i | ||||
\(980\) | 0.688331 | + | 2.23618i | 0.0219879 | + | 0.0714321i | ||||
\(981\) | −43.8076 | − | 37.3685i | −1.39867 | − | 1.19309i | ||||
\(982\) | −13.4040 | + | 4.35524i | −0.427740 | + | 0.138981i | ||||
\(983\) | 8.68438 | − | 26.7278i | 0.276989 | − | 0.852484i | −0.711697 | − | 0.702486i | \(-0.752073\pi\) |
0.988686 | − | 0.149998i | \(-0.0479267\pi\) | |||||||
\(984\) | −4.51712 | + | 8.07173i | −0.144000 | + | 0.257317i | ||||
\(985\) | −26.0379 | − | 8.91010i | −0.829637 | − | 0.283899i | ||||
\(986\) | −3.43922 | + | 10.5848i | −0.109527 | + | 0.337090i | ||||
\(987\) | 6.53502 | + | 14.1641i | 0.208012 | + | 0.450847i | ||||
\(988\) | −10.8334 | − | 14.9109i | −0.344656 | − | 0.474378i | ||||
\(989\) | −21.2699 | −0.676345 | ||||||||
\(990\) | −9.09887 | − | 6.99589i | −0.289181 | − | 0.222344i | ||||
\(991\) | −48.8071 | −1.55041 | −0.775204 | − | 0.631710i | \(-0.782353\pi\) | ||||
−0.775204 | + | 0.631710i | \(0.782353\pi\) | |||||||
\(992\) | −17.3169 | − | 23.8347i | −0.549813 | − | 0.756753i | ||||
\(993\) | 5.89979 | + | 12.7873i | 0.187224 | + | 0.405792i | ||||
\(994\) | 0.636345 | − | 1.95847i | 0.0201836 | − | 0.0621188i | ||||
\(995\) | 1.61703 | − | 4.72543i | 0.0512633 | − | 0.149806i | ||||
\(996\) | 17.0616 | − | 30.4877i | 0.540616 | − | 0.966039i | ||||
\(997\) | −16.4190 | + | 50.5325i | −0.519995 | + | 1.60038i | 0.254010 | + | 0.967202i | \(0.418250\pi\) |
−0.774005 | + | 0.633179i | \(0.781750\pi\) | |||||||
\(998\) | −2.18287 | + | 0.709257i | −0.0690975 | + | 0.0224511i | ||||
\(999\) | 37.1112 | + | 24.7473i | 1.17415 | + | 0.782970i |
(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 | 165.2.r.a.74.12 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.74.10 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.701.9 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.701.12 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.74.9 | yes | 80 | |
11.7 | odd | 10 | inner | 165.2.r.a.29.11 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.701.11 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.701.10 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.74.11 | yes | 80 | |
33.29 | even | 10 | inner | 165.2.r.a.29.9 | ✓ | 80 | |
55.7 | even | 20 | 825.2.bi.h.326.11 | 80 | |||
55.18 | even | 20 | 825.2.bi.h.326.10 | 80 | |||
55.29 | odd | 10 | inner | 165.2.r.a.29.10 | yes | 80 | |
165.29 | even | 10 | inner | 165.2.r.a.29.12 | yes | 80 | |
165.62 | odd | 20 | 825.2.bi.h.326.9 | 80 | |||
165.128 | odd | 20 | 825.2.bi.h.326.12 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.9 | ✓ | 80 | 33.29 | even | 10 | inner | |
165.2.r.a.29.10 | yes | 80 | 55.29 | odd | 10 | inner | |
165.2.r.a.29.11 | yes | 80 | 11.7 | odd | 10 | inner | |
165.2.r.a.29.12 | yes | 80 | 165.29 | even | 10 | inner | |
165.2.r.a.74.9 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.10 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.74.11 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.12 | yes | 80 | 1.1 | even | 1 | trivial | |
825.2.bi.h.326.9 | 80 | 165.62 | odd | 20 | |||
825.2.bi.h.326.10 | 80 | 55.18 | even | 20 | |||
825.2.bi.h.326.11 | 80 | 55.7 | even | 20 | |||
825.2.bi.h.326.12 | 80 | 165.128 | odd | 20 | |||
825.2.bi.h.701.9 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.701.10 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.701.11 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.701.12 | 80 | 5.3 | odd | 4 |