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 | 29.10 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.10 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 | \(-0.858383\pi\) |
0.688242 | + | 0.725482i | \(0.258383\pi\) | |||||||
\(3\) | −0.337382 | + | 1.69887i | −0.194788 | + | 0.980845i | ||||
\(4\) | 0.535797 | + | 1.64901i | 0.267898 | + | 0.824507i | ||||
\(5\) | 0.723962 | + | 2.11563i | 0.323766 | + | 0.946137i | ||||
\(6\) | −0.606723 | − | 0.655944i | −0.247694 | − | 0.267788i | ||||
\(7\) | −0.781546 | − | 2.40535i | −0.295396 | − | 0.909137i | −0.983088 | − | 0.183134i | \(-0.941376\pi\) |
0.687692 | − | 0.726003i | \(-0.258624\pi\) | |||||||
\(8\) | −1.83193 | − | 0.595230i | −0.647685 | − | 0.210446i | ||||
\(9\) | −2.77235 | − | 1.14634i | −0.924115 | − | 0.382114i | ||||
\(10\) | −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 | 0.988163 | − | 0.153411i | \(-0.0490257\pi\) |
0.159457 | + | 0.987205i | \(0.449026\pi\) | |||||||
\(14\) | 1.24086 | + | 0.403178i | 0.331633 | + | 0.107754i | ||||
\(15\) | −3.83844 | + | 0.516145i | −0.991080 | + | 0.133268i | ||||
\(16\) | −2.00157 | + | 1.45422i | −0.500392 | + | 0.363556i | ||||
\(17\) | 2.17976 | + | 3.00018i | 0.528668 | + | 0.727650i | 0.986927 | − | 0.161169i | \(-0.0515266\pi\) |
−0.458258 | + | 0.888819i | \(0.651527\pi\) | |||||||
\(18\) | 1.31906 | − | 0.809443i | 0.310906 | − | 0.190787i | ||||
\(19\) | 1.97662 | + | 0.642242i | 0.453467 | + | 0.147340i | 0.526840 | − | 0.849964i | \(-0.323377\pi\) |
−0.0733735 | + | 0.997305i | \(0.523377\pi\) | |||||||
\(20\) | −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 | \(-0.411182\pi\) | ||||
0.275422 | + | 0.961323i | \(0.411182\pi\) | |||||||
\(24\) | 1.62928 | − | 2.91140i | 0.332576 | − | 0.594287i | ||||
\(25\) | −3.95176 | + | 3.06327i | −0.790352 | + | 0.612654i | ||||
\(26\) | −2.50935 | + | 0.815337i | −0.492124 | + | 0.159901i | ||||
\(27\) | 2.88283 | − | 4.32311i | 0.554801 | − | 0.831983i | ||||
\(28\) | 3.54770 | − | 2.57756i | 0.670453 | − | 0.487113i | ||||
\(29\) | −1.79775 | − | 5.53289i | −0.333833 | − | 1.02743i | −0.967294 | − | 0.253658i | \(-0.918366\pi\) |
0.633461 | − | 0.773775i | \(-0.281634\pi\) | |||||||
\(30\) | 0.948488 | − | 1.75848i | 0.173169 | − | 0.321053i | ||||
\(31\) | 4.64730 | + | 3.37646i | 0.834680 | + | 0.606431i | 0.920879 | − | 0.389847i | \(-0.127472\pi\) |
−0.0861994 | + | 0.996278i | \(0.527472\pi\) | |||||||
\(32\) | − | 5.12872i | − | 0.906638i | ||||||
\(33\) | 5.73686 | − | 0.297439i | 0.998659 | − | 0.0517776i | ||||
\(34\) | −1.91308 | −0.328090 | ||||||||
\(35\) | 4.52301 | − | 3.39484i | 0.764529 | − | 0.573833i | ||||
\(36\) | 0.404916 | − | 5.18584i | 0.0674861 | − | 0.864307i | ||||
\(37\) | −8.16423 | + | 2.65272i | −1.34219 | + | 0.436104i | −0.890059 | − | 0.455846i | \(-0.849337\pi\) |
−0.452133 | + | 0.891951i | \(0.649337\pi\) | |||||||
\(38\) | −0.867394 | + | 0.630199i | −0.140710 | + | 0.102232i | ||||
\(39\) | −6.50333 | + | 6.01533i | −1.04137 | + | 0.963224i | ||||
\(40\) | −0.0669628 | − | 4.30661i | −0.0105877 | − | 0.680934i | ||||
\(41\) | −0.856736 | + | 2.63676i | −0.133800 | + | 0.411793i | −0.995401 | − | 0.0957919i | \(-0.969462\pi\) |
0.861602 | + | 0.507585i | \(0.169462\pi\) | |||||||
\(42\) | −1.10359 | + | 1.97203i | −0.170288 | + | 0.304291i | ||||
\(43\) | 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 | ||||
\(45\) | 0.418156 | − | 6.69516i | 0.0623350 | − | 0.998055i | ||||
\(46\) | −0.801039 | + | 1.10254i | −0.118107 | + | 0.162560i | ||||
\(47\) | 1.10039 | − | 3.38664i | 0.160508 | − | 0.493993i | −0.838169 | − | 0.545410i | \(-0.816374\pi\) |
0.998677 | + | 0.0514175i | \(0.0163739\pi\) | |||||||
\(48\) | −1.79525 | − | 3.89104i | −0.259122 | − | 0.561623i | ||||
\(49\) | 0.488224 | − | 0.354715i | 0.0697462 | − | 0.0506736i | ||||
\(50\) | −0.0801929 | − | 2.57812i | −0.0113410 | − | 0.364601i | ||||
\(51\) | −5.83233 | + | 2.69092i | −0.816690 | + | 0.376805i | ||||
\(52\) | −2.74039 | + | 8.43405i | −0.380023 | + | 1.16959i | ||||
\(53\) | 5.04886 | + | 3.66821i | 0.693514 | + | 0.503868i | 0.877814 | − | 0.479003i | \(-0.159002\pi\) |
−0.184299 | + | 0.982870i | \(0.559002\pi\) | |||||||
\(54\) | 0.930112 | + | 2.51401i | 0.126572 | + | 0.342114i | ||||
\(55\) | 6.21332 | − | 4.04904i | 0.837803 | − | 0.545972i | ||||
\(56\) | 4.87163i | 0.650999i | ||||||||
\(57\) | −1.75796 | + | 3.14134i | −0.232848 | + | 0.416081i | ||||
\(58\) | 2.85427 | + | 0.927409i | 0.374784 | + | 0.121775i | ||||
\(59\) | 3.98792 | − | 1.29575i | 0.519183 | − | 0.168693i | −0.0376915 | − | 0.999289i | \(-0.512000\pi\) |
0.556875 | + | 0.830597i | \(0.312000\pi\) | |||||||
\(60\) | −2.90775 | − | 6.05308i | −0.375389 | − | 0.781450i | ||||
\(61\) | −4.38022 | − | 6.02886i | −0.560830 | − | 0.771916i | 0.430602 | − | 0.902542i | \(-0.358301\pi\) |
−0.991432 | + | 0.130626i | \(0.958301\pi\) | |||||||
\(62\) | −2.81833 | + | 0.915732i | −0.357929 | + | 0.116298i | ||||
\(63\) | −0.590635 | + | 7.56438i | −0.0744131 | + | 0.953022i | ||||
\(64\) | −1.86266 | − | 1.35330i | −0.232833 | − | 0.169163i | ||||
\(65\) | −3.36457 | + | 10.9305i | −0.417324 | + | 1.35576i | ||||
\(66\) | −1.61541 | + | 2.48447i | −0.198843 | + | 0.305817i | ||||
\(67\) | − | 11.2044i | − | 1.36884i | −0.729087 | − | 0.684421i | \(-0.760055\pi\) | ||
0.729087 | − | 0.684421i | \(-0.239945\pi\) | |||||||
\(68\) | −3.77942 | + | 5.20193i | −0.458322 | + | 0.630827i | ||||
\(69\) | −0.891281 | + | 4.48801i | −0.107298 | + | 0.540292i | ||||
\(70\) | 0.0453571 | + | 2.91707i | 0.00542121 | + | 0.348657i | ||||
\(71\) | 0.927714 | + | 1.27689i | 0.110099 | + | 0.151539i | 0.860511 | − | 0.509432i | \(-0.170145\pi\) |
−0.750411 | + | 0.660971i | \(0.770145\pi\) | |||||||
\(72\) | 4.39641 | + | 3.75020i | 0.518122 | + | 0.441965i | ||||
\(73\) | −2.17457 | − | 6.69263i | −0.254514 | − | 0.783313i | −0.993925 | − | 0.110059i | \(-0.964896\pi\) |
0.739411 | − | 0.673254i | \(-0.235104\pi\) | |||||||
\(74\) | 1.36847 | − | 4.21171i | 0.159081 | − | 0.489601i | ||||
\(75\) | −3.87085 | − | 7.74703i | −0.446968 | − | 0.894550i | ||||
\(76\) | 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 | −0.849626 | − | 0.527386i | \(-0.823172\pi\) |
0.764122 | + | 0.645071i | \(0.223172\pi\) | |||||||
\(80\) | −4.52565 | − | 3.18177i | −0.505983 | − | 0.355732i | ||||
\(81\) | 6.37181 | + | 6.35611i | 0.707978 | + | 0.706234i | ||||
\(82\) | −0.840672 | − | 1.15709i | −0.0928366 | − | 0.127779i | ||||
\(83\) | −6.83795 | − | 9.41163i | −0.750563 | − | 1.03306i | −0.997941 | − | 0.0641418i | \(-0.979569\pi\) |
0.247378 | − | 0.968919i | \(-0.420431\pi\) | |||||||
\(84\) | 3.18201 | + | 6.89672i | 0.347186 | + | 0.752494i | ||||
\(85\) | −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 | \(0.894302\pi\) | |||||||
\(90\) | 2.66743 | + | 2.20464i | 0.281172 | + | 0.232390i | ||||
\(91\) | 3.99730 | − | 12.3024i | 0.419030 | − | 1.28964i | ||||
\(92\) | 1.41544 | + | 4.35629i | 0.147570 | + | 0.454174i | ||||
\(93\) | −7.30410 | + | 6.75602i | −0.757400 | + | 0.700567i | ||||
\(94\) | 1.07975 | + | 1.48615i | 0.111368 | + | 0.153285i | ||||
\(95\) | 0.0722515 | + | 4.64674i | 0.00741284 | + | 0.476746i | ||||
\(96\) | 8.71305 | + | 1.73034i | 0.889272 | + | 0.176602i | ||||
\(97\) | 1.61795 | − | 2.22691i | 0.164278 | − | 0.226109i | −0.718940 | − | 0.695072i | \(-0.755372\pi\) |
0.883218 | + | 0.468963i | \(0.155372\pi\) | |||||||
\(98\) | 0.311318i | 0.0314479i | ||||||||
\(99\) | −1.43020 | + | 9.84655i | −0.143741 | + | 0.989615i | ||||
\(100\) | −7.16871 | − | 4.87521i | −0.716871 | − | 0.487521i | ||||
\(101\) | 6.07810 | + | 4.41600i | 0.604793 | + | 0.439408i | 0.847577 | − | 0.530672i | \(-0.178060\pi\) |
−0.242784 | + | 0.970080i | \(0.578060\pi\) | |||||||
\(102\) | 0.645438 | − | 3.25007i | 0.0639079 | − | 0.321805i | ||||
\(103\) | −13.8164 | + | 4.48920i | −1.36137 | + | 0.442334i | −0.896499 | − | 0.443046i | \(-0.853898\pi\) |
−0.464867 | + | 0.885381i | \(0.653898\pi\) | |||||||
\(104\) | −5.79073 | − | 7.97026i | −0.567828 | − | 0.781548i | ||||
\(105\) | 4.24142 | + | 8.82939i | 0.413920 | + | 0.861660i | ||||
\(106\) | −3.06186 | + | 0.994858i | −0.297394 | + | 0.0966291i | ||||
\(107\) | −3.38762 | − | 1.10070i | −0.327493 | − | 0.106409i | 0.140656 | − | 0.990059i | \(-0.455079\pi\) |
−0.468149 | + | 0.883650i | \(0.655079\pi\) | |||||||
\(108\) | 8.67348 | + | 2.43751i | 0.834606 | + | 0.234550i | ||||
\(109\) | − | 19.1935i | − | 1.83840i | −0.393787 | − | 0.919202i | \(-0.628835\pi\) | ||
0.393787 | − | 0.919202i | \(-0.371165\pi\) | |||||||
\(110\) | −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 | 0.732629 | + | 0.680629i | \(0.238293\pi\) |
−0.992772 | + | 0.120012i | \(0.961707\pi\) | |||||||
\(114\) | −0.777985 | − | 1.68621i | −0.0728650 | − | 0.157928i | ||||
\(115\) | 1.91253 | + | 5.58897i | 0.178344 | + | 0.521174i | ||||
\(116\) | 8.16059 | − | 5.92901i | 0.757692 | − | 0.550495i | ||||
\(117\) | −8.02519 | − | 13.0778i | −0.741929 | − | 1.20904i | ||||
\(118\) | −0.668445 | + | 2.05726i | −0.0615353 | + | 0.189386i | ||||
\(119\) | 5.51290 | − | 7.58785i | 0.505366 | − | 0.695577i | ||||
\(120\) | 7.33897 | + | 1.33921i | 0.669954 | + | 0.122253i | ||||
\(121\) | −9.67608 | + | 5.23197i | −0.879644 | + | 0.475633i | ||||
\(122\) | 3.84433 | 0.348049 | ||||||||
\(123\) | −4.19048 | − | 2.34508i | −0.377843 | − | 0.211449i | ||||
\(124\) | −3.07782 | + | 9.47256i | −0.276396 | + | 0.850661i | ||||
\(125\) | −9.34166 | − | 6.14276i | −0.835543 | − | 0.549425i | ||||
\(126\) | −2.97790 | − | 2.54019i | −0.265293 | − | 0.226298i | ||||
\(127\) | −1.08484 | + | 0.788183i | −0.0962640 | + | 0.0699399i | −0.634876 | − | 0.772614i | \(-0.718949\pi\) |
0.538612 | + | 0.842554i | \(0.318949\pi\) | |||||||
\(128\) | 10.8850 | − | 3.53675i | 0.962108 | − | 0.312608i | ||||
\(129\) | −2.71642 | + | 13.6784i | −0.239167 | + | 1.20432i | ||||
\(130\) | −3.54162 | − | 4.71858i | −0.310621 | − | 0.413846i | ||||
\(131\) | −18.2001 | −1.59015 | −0.795075 | − | 0.606511i | \(-0.792569\pi\) | ||||
−0.795075 | + | 0.606511i | \(0.792569\pi\) | |||||||
\(132\) | 3.56427 | + | 9.30079i | 0.310230 | + | 0.809529i | ||||
\(133\) | − | 5.25640i | − | 0.455787i | ||||||
\(134\) | 4.67618 | + | 3.39744i | 0.403960 | + | 0.293494i | ||||
\(135\) | 11.2332 | + | 2.96922i | 0.966796 | + | 0.255550i | ||||
\(136\) | −2.20737 | − | 6.79357i | −0.189280 | − | 0.582544i | ||||
\(137\) | 9.76794 | − | 7.09682i | 0.834531 | − | 0.606322i | −0.0863064 | − | 0.996269i | \(-0.527506\pi\) |
0.920838 | + | 0.389946i | \(0.127506\pi\) | |||||||
\(138\) | −1.60281 | − | 1.73284i | −0.136441 | − | 0.147509i | ||||
\(139\) | −0.0797187 | + | 0.0259022i | −0.00676165 | + | 0.00219699i | −0.312396 | − | 0.949952i | \(-0.601132\pi\) |
0.305634 | + | 0.952149i | \(0.401132\pi\) | |||||||
\(140\) | 8.02155 | + | 5.63957i | 0.677945 | + | 0.476630i | ||||
\(141\) | 5.38223 | + | 3.01201i | 0.453265 | + | 0.253657i | ||||
\(142\) | −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 | ||||
\(147\) | 0.437898 | + | 0.949105i | 0.0361173 | + | 0.0782809i | ||||
\(148\) | −8.74874 | − | 12.0416i | −0.719142 | − | 0.989814i | ||||
\(149\) | 12.8047 | − | 9.30313i | 1.04900 | − | 0.762142i | 0.0769772 | − | 0.997033i | \(-0.475473\pi\) |
0.972022 | + | 0.234890i | \(0.0754731\pi\) | |||||||
\(150\) | 4.40695 | + | 0.733574i | 0.359826 | + | 0.0598961i | ||||
\(151\) | 7.36748 | + | 2.39384i | 0.599557 | + | 0.194808i | 0.593043 | − | 0.805171i | \(-0.297926\pi\) |
0.00651432 | + | 0.999979i | \(0.497926\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | −13.4038 | − | 7.50107i | −1.07316 | − | 0.600567i | ||||
\(157\) | 4.62394 | + | 1.50241i | 0.369030 | + | 0.119905i | 0.487661 | − | 0.873033i | \(-0.337850\pi\) |
−0.118630 | + | 0.992938i | \(0.537850\pi\) | |||||||
\(158\) | −0.206113 | − | 0.634350i | −0.0163975 | − | 0.0504662i | ||||
\(159\) | −7.93523 | + | 7.33979i | −0.629304 | + | 0.582083i | ||||
\(160\) | 10.8505 | − | 3.71300i | 0.857804 | − | 0.293538i | ||||
\(161\) | −2.06465 | − | 6.35434i | −0.162717 | − | 0.500792i | ||||
\(162\) | −4.58480 | + | 0.731959i | −0.360216 | + | 0.0575081i | ||||
\(163\) | −8.38716 | + | 11.5439i | −0.656933 | + | 0.904191i | −0.999375 | − | 0.0353479i | \(-0.988746\pi\) |
0.342442 | + | 0.939539i | \(0.388746\pi\) | |||||||
\(164\) | −4.80709 | −0.375371 | ||||||||
\(165\) | 4.78254 | + | 11.9217i | 0.372320 | + | 0.928104i | ||||
\(166\) | 6.00137 | 0.465796 | ||||||||
\(167\) | 7.50419 | − | 10.3286i | 0.580692 | − | 0.799254i | −0.413079 | − | 0.910695i | \(-0.635547\pi\) |
0.993771 | + | 0.111441i | \(0.0355467\pi\) | |||||||
\(168\) | −8.27629 | − | 1.64360i | −0.638530 | − | 0.126807i | ||||
\(169\) | 4.06641 | + | 12.5151i | 0.312800 | + | 0.962701i | ||||
\(170\) | −1.38499 | − | 4.04735i | −0.106224 | − | 0.310418i | ||||
\(171\) | −4.74364 | − | 4.04639i | −0.362755 | − | 0.309435i | ||||
\(172\) | 4.31394 | + | 13.2769i | 0.328935 | + | 1.01236i | ||||
\(173\) | −4.31646 | − | 1.40250i | −0.328174 | − | 0.106630i | 0.140296 | − | 0.990110i | \(-0.455195\pi\) |
−0.468470 | + | 0.883479i | \(0.655195\pi\) | |||||||
\(174\) | −2.53853 | + | 4.53616i | −0.192446 | + | 0.343885i | ||||
\(175\) | 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 | \(-0.533058\pi\) |
−0.668488 | + | 0.743723i | \(0.733058\pi\) | |||||||
\(180\) | 11.2644 | − | 2.89770i | 0.839603 | − | 0.215982i | ||||
\(181\) | 7.41705 | − | 5.38880i | 0.551305 | − | 0.400546i | −0.276962 | − | 0.960881i | \(-0.589327\pi\) |
0.828266 | + | 0.560335i | \(0.189327\pi\) | |||||||
\(182\) | 3.92234 | + | 5.39864i | 0.290743 | + | 0.400174i | ||||
\(183\) | 11.7201 | − | 5.40741i | 0.866373 | − | 0.399727i | ||||
\(184\) | −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 | ||||||||
\(189\) | −12.6517 | − | 3.55550i | −0.920273 | − | 0.258625i | ||||
\(190\) | −1.96123 | − | 1.37884i | −0.142282 | − | 0.100032i | ||||
\(191\) | −1.03400 | + | 0.335966i | −0.0748173 | + | 0.0243096i | −0.346187 | − | 0.938166i | \(-0.612524\pi\) |
0.271369 | + | 0.962475i | \(0.412524\pi\) | |||||||
\(192\) | 2.92752 | − | 2.70785i | 0.211276 | − | 0.195422i | ||||
\(193\) | −1.63164 | + | 1.18546i | −0.117448 | + | 0.0853312i | −0.644959 | − | 0.764217i | \(-0.723126\pi\) |
0.527511 | + | 0.849548i | \(0.323126\pi\) | |||||||
\(194\) | 0.438804 | + | 1.35050i | 0.0315043 | + | 0.0969603i | ||||
\(195\) | −17.4344 | − | 9.40374i | −1.24850 | − | 0.673416i | ||||
\(196\) | 0.846519 | + | 0.615032i | 0.0604656 | + | 0.0439308i | ||||
\(197\) | 12.3074i | 0.876867i | 0.898764 | + | 0.438434i | \(0.144467\pi\) | ||||
−0.898764 | + | 0.438434i | \(0.855533\pi\) | |||||||
\(198\) | −3.67579 | − | 3.58259i | −0.261227 | − | 0.254604i | ||||
\(199\) | −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 | ||||
\(201\) | 19.0349 | + | 3.78018i | 1.34262 | + | 0.266634i | ||||
\(202\) | −3.68603 | + | 1.19767i | −0.259348 | + | 0.0842674i | ||||
\(203\) | −11.9035 | + | 8.64842i | −0.835464 | + | 0.607000i | ||||
\(204\) | −7.56231 | − | 8.17580i | −0.529468 | − | 0.572421i | ||||
\(205\) | −6.19865 | + | 0.0963819i | −0.432933 | + | 0.00673160i | ||||
\(206\) | 2.31586 | − | 7.12748i | 0.161354 | − | 0.496595i | ||||
\(207\) | −7.32386 | − | 3.02835i | −0.509043 | − | 0.210485i | ||||
\(208\) | −12.6539 | −0.877390 | ||||||||
\(209\) | 0.456795 | − | 6.87791i | 0.0315972 | − | 0.475755i | ||||
\(210\) | −4.97104 | − | 0.907113i | −0.343035 | − | 0.0625968i | ||||
\(211\) | −7.34536 | + | 10.1100i | −0.505676 | + | 0.696003i | −0.983183 | − | 0.182625i | \(-0.941541\pi\) |
0.477507 | + | 0.878628i | \(0.341541\pi\) | |||||||
\(212\) | −3.34377 | + | 10.2911i | −0.229651 | + | 0.706792i | ||||
\(213\) | −2.48227 | + | 1.14527i | −0.170082 | + | 0.0784725i | ||||
\(214\) | 1.48658 | − | 1.08006i | 0.101621 | − | 0.0738317i | ||||
\(215\) | 5.82894 | + | 17.0339i | 0.397531 | + | 1.16170i | ||||
\(216\) | −7.85439 | + | 6.20369i | −0.534424 | + | 0.422108i | ||||
\(217\) | 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 | ||||||||
\(222\) | 6.69346 | + | 3.74581i | 0.449236 | + | 0.251402i | ||||
\(223\) | −12.9699 | − | 4.21419i | −0.868531 | − | 0.282203i | −0.159344 | − | 0.987223i | \(-0.550938\pi\) |
−0.709187 | + | 0.705020i | \(0.750938\pi\) | |||||||
\(224\) | −12.3364 | + | 4.00833i | −0.824258 | + | 0.267818i | ||||
\(225\) | 14.4672 | − | 3.96238i | 0.964479 | − | 0.264159i | ||||
\(226\) | −2.71351 | − | 3.73483i | −0.180500 | − | 0.248437i | ||||
\(227\) | −14.7564 | + | 4.79464i | −0.979416 | + | 0.318232i | −0.754611 | − | 0.656172i | \(-0.772175\pi\) |
−0.224805 | + | 0.974404i | \(0.572175\pi\) | |||||||
\(228\) | −6.12202 | − | 1.21578i | −0.405441 | − | 0.0805172i | ||||
\(229\) | −2.23835 | − | 1.62625i | −0.147914 | − | 0.107466i | 0.511367 | − | 0.859362i | \(-0.329139\pi\) |
−0.659281 | + | 0.751897i | \(0.729139\pi\) | |||||||
\(230\) | −2.91248 | − | 0.896506i | −0.192043 | − | 0.0591139i | ||||
\(231\) | −5.19906 | − | 13.5667i | −0.342073 | − | 0.892622i | ||||
\(232\) | 11.2060i | 0.735707i | ||||||||
\(233\) | −16.5952 | + | 22.8414i | −1.08719 | + | 1.49639i | −0.235836 | + | 0.971793i | \(0.575783\pi\) |
−0.851353 | + | 0.524594i | \(0.824217\pi\) | |||||||
\(234\) | 7.89144 | + | 0.616173i | 0.515880 | + | 0.0402805i | ||||
\(235\) | 7.96151 | − | 0.123792i | 0.519352 | − | 0.00807532i | ||||
\(236\) | 4.27343 | + | 5.88187i | 0.278177 | + | 0.382877i | ||||
\(237\) | −1.52064 | − | 1.64401i | −0.0987764 | − | 0.106790i | ||||
\(238\) | 1.49516 | + | 4.60162i | 0.0969165 | + | 0.298278i | ||||
\(239\) | 6.36557 | − | 19.5912i | 0.411755 | − | 1.26725i | −0.503367 | − | 0.864073i | \(-0.667906\pi\) |
0.915122 | − | 0.403178i | \(-0.132094\pi\) | |||||||
\(240\) | 6.93230 | − | 6.61504i | 0.447478 | − | 0.426999i | ||||
\(241\) | 25.5410i | 1.64524i | 0.568593 | + | 0.822619i | \(0.307488\pi\) | ||||
−0.568593 | + | 0.822619i | \(0.692512\pi\) | |||||||
\(242\) | 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 | ||||
\(246\) | 2.24937 | − | 1.03781i | 0.143415 | − | 0.0661687i | ||||
\(247\) | 6.24808 | + | 8.59975i | 0.397556 | + | 0.547189i | ||||
\(248\) | −6.50376 | − | 8.95166i | −0.412989 | − | 0.568431i | ||||
\(249\) | 18.2962 | − | 8.44150i | 1.15947 | − | 0.534958i | ||||
\(250\) | 5.39628 | − | 2.03612i | 0.341291 | − | 0.128775i | ||||
\(251\) | −1.10276 | + | 1.51782i | −0.0696058 | + | 0.0958042i | −0.842401 | − | 0.538852i | \(-0.818858\pi\) |
0.772795 | + | 0.634656i | \(0.218858\pi\) | |||||||
\(252\) | −12.7902 | + | 3.07901i | −0.805708 | + | 0.193959i | ||||
\(253\) | −2.14935 | − | 8.49398i | −0.135129 | − | 0.534012i | ||||
\(254\) | − | 0.691753i | − | 0.0434045i | ||||||
\(255\) | −9.91538 | − | 10.3909i | −0.620925 | − | 0.650704i | ||||
\(256\) | −0.401569 | + | 1.23590i | −0.0250981 | + | 0.0772439i | ||||
\(257\) | 1.46219 | + | 4.50015i | 0.0912088 | + | 0.280712i | 0.986247 | − | 0.165277i | \(-0.0528519\pi\) |
−0.895038 | + | 0.445989i | \(0.852852\pi\) | |||||||
\(258\) | −4.88500 | − | 5.28130i | −0.304127 | − | 0.328799i | ||||
\(259\) | 12.7614 | + | 17.5646i | 0.792957 | + | 1.09141i | ||||
\(260\) | −19.8272 | + | 0.308291i | −1.22963 | + | 0.0191194i | ||||
\(261\) | −1.35861 | + | 17.3999i | −0.0840956 | + | 1.07703i | ||||
\(262\) | 5.51868 | − | 7.59581i | 0.340945 | − | 0.469271i | ||||
\(263\) | − | 15.6801i | − | 0.966876i | −0.875379 | − | 0.483438i | \(-0.839388\pi\) | ||
0.875379 | − | 0.483438i | \(-0.160612\pi\) | |||||||
\(264\) | −10.6866 | − | 2.86986i | −0.657713 | − | 0.176628i | ||||
\(265\) | −4.10539 | + | 13.3372i | −0.252192 | + | 0.819295i | ||||
\(266\) | 2.19376 | + | 1.59386i | 0.134508 | + | 0.0977257i | ||||
\(267\) | −10.4494 | − | 2.07517i | −0.639496 | − | 0.126999i | ||||
\(268\) | 18.4763 | − | 6.00331i | 1.12862 | − | 0.366710i | ||||
\(269\) | 13.1887 | + | 18.1527i | 0.804128 | + | 1.10679i | 0.992203 | + | 0.124633i | \(0.0397752\pi\) |
−0.188075 | + | 0.982155i | \(0.560225\pi\) | |||||||
\(270\) | −4.64535 | + | 3.78782i | −0.282707 | + | 0.230520i | ||||
\(271\) | 3.90298 | − | 1.26816i | 0.237089 | − | 0.0770349i | −0.188062 | − | 0.982157i | \(-0.560221\pi\) |
0.425152 | + | 0.905122i | \(0.360221\pi\) | |||||||
\(272\) | −8.72585 | − | 2.83520i | −0.529082 | − | 0.171909i | ||||
\(273\) | 19.5516 | + | 10.9415i | 1.18332 | + | 0.662211i | ||||
\(274\) | 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 | 0.429401 | − | 0.903114i | \(-0.358725\pi\) |
−0.726220 | + | 0.687462i | \(0.758725\pi\) | |||||||
\(278\) | 0.0133622 | − | 0.0411247i | 0.000801414 | − | 0.00246650i | ||||
\(279\) | −9.01335 | − | 14.6881i | −0.539615 | − | 0.879354i | ||||
\(280\) | −10.3066 | + | 3.52688i | −0.615935 | + | 0.210771i | ||||
\(281\) | −8.23840 | + | 5.98555i | −0.491462 | + | 0.357068i | −0.805746 | − | 0.592261i | \(-0.798235\pi\) |
0.314284 | + | 0.949329i | \(0.398235\pi\) | |||||||
\(282\) | −2.88908 | + | 1.33296i | −0.172042 | + | 0.0793768i | ||||
\(283\) | 4.23598 | − | 13.0370i | 0.251803 | − | 0.774970i | −0.742640 | − | 0.669691i | \(-0.766427\pi\) |
0.994443 | − | 0.105279i | \(-0.0335735\pi\) | |||||||
\(284\) | −1.60854 | + | 2.21396i | −0.0954493 | + | 0.131375i | ||||
\(285\) | −7.91861 | − | 1.44498i | −0.469058 | − | 0.0855934i | ||||
\(286\) | 4.66317 | + | 7.40490i | 0.275739 | + | 0.437861i | ||||
\(287\) | 7.01192 | 0.413900 | ||||||||
\(288\) | −5.87926 | + | 14.2186i | −0.346439 | + | 0.837838i | ||||
\(289\) | 1.00357 | − | 3.08866i | 0.0590333 | − | 0.181686i | ||||
\(290\) | 0.104332 | + | 6.70998i | 0.00612661 | + | 0.394024i | ||||
\(291\) | 3.23738 | + | 3.50001i | 0.189778 | + | 0.205174i | ||||
\(292\) | 9.87110 | − | 7.17178i | 0.577663 | − | 0.419697i | ||||
\(293\) | 28.8511 | − | 9.37430i | 1.68550 | − | 0.547652i | 0.699535 | − | 0.714599i | \(-0.253391\pi\) |
0.985966 | + | 0.166946i | \(0.0533907\pi\) | |||||||
\(294\) | −0.528890 | − | 0.105033i | −0.0308455 | − | 0.00612566i | ||||
\(295\) | 5.62844 | + | 7.49888i | 0.327700 | + | 0.436602i | ||||
\(296\) | 16.5353 | 0.961094 | ||||||||
\(297\) | −16.2455 | − | 5.75179i | −0.942661 | − | 0.333753i | ||||
\(298\) | 8.16495i | 0.472983i | ||||||||
\(299\) | 10.9310 | + | 7.94187i | 0.632159 | + | 0.459290i | ||||
\(300\) | 10.7010 | − | 10.5339i | 0.617821 | − | 0.608176i | ||||
\(301\) | −6.29257 | − | 19.3666i | −0.362698 | − | 1.11627i | ||||
\(302\) | −3.23306 | + | 2.34895i | −0.186042 | + | 0.135167i | ||||
\(303\) | −9.55287 | + | 8.83605i | −0.548798 | + | 0.507618i | ||||
\(304\) | −4.89029 | + | 1.58895i | −0.280477 | + | 0.0911326i | ||||
\(305\) | 9.58370 | − | 13.6316i | 0.548761 | − | 0.780542i | ||||
\(306\) | 5.30371 | + | 2.19304i | 0.303193 | + | 0.125368i | ||||
\(307\) | −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 | \(-0.743202\pi\) |
−0.984123 | + | 0.177490i | \(0.943202\pi\) | |||||||
\(312\) | 15.4942 | − | 7.14870i | 0.877184 | − | 0.404715i | ||||
\(313\) | 16.4517 | + | 22.6438i | 0.929905 | + | 1.27990i | 0.959897 | + | 0.280354i | \(0.0904519\pi\) |
−0.0299919 | + | 0.999550i | \(0.509548\pi\) | |||||||
\(314\) | −2.02911 | + | 1.47424i | −0.114509 | + | 0.0831960i | ||||
\(315\) | −16.4310 | + | 4.22676i | −0.925782 | + | 0.238151i | ||||
\(316\) | −2.13208 | − | 0.692755i | −0.119939 | − | 0.0389705i | ||||
\(317\) | −0.803948 | − | 0.584102i | −0.0451542 | − | 0.0328064i | 0.564979 | − | 0.825105i | \(-0.308884\pi\) |
−0.610133 | + | 0.792299i | \(0.708884\pi\) | |||||||
\(318\) | −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 | ||||
\(321\) | 3.01288 | − | 5.38378i | 0.168163 | − | 0.300493i | ||||
\(322\) | 3.27803 | + | 1.06510i | 0.182678 | + | 0.0593556i | ||||
\(323\) | 2.38170 | + | 7.33013i | 0.132521 | + | 0.407859i | ||||
\(324\) | −7.06731 | + | 13.9128i | −0.392628 | + | 0.772932i | ||||
\(325\) | −25.5607 | + | 0.795069i | −1.41785 | + | 0.0441025i | ||||
\(326\) | −2.27469 | − | 7.00077i | −0.125983 | − | 0.387737i | ||||
\(327\) | 32.6073 | + | 6.47555i | 1.80319 | + | 0.358099i | ||||
\(328\) | 3.13896 | − | 4.32041i | 0.173320 | − | 0.238555i | ||||
\(329\) | −9.00606 | −0.496520 | ||||||||
\(330\) | −6.42570 | − | 1.61894i | −0.353723 | − | 0.0891198i | ||||
\(331\) | 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 | ||||
\(333\) | 25.6750 | + | 2.00473i | 1.40698 | + | 0.109859i | ||||
\(334\) | 2.03522 | + | 6.26375i | 0.111362 | + | 0.342737i | ||||
\(335\) | 23.7044 | − | 8.11159i | 1.29511 | − | 0.443184i | ||||
\(336\) | −7.95624 | + | 7.35922i | −0.434049 | + | 0.401479i | ||||
\(337\) | 0.604185 | + | 1.85949i | 0.0329121 | + | 0.101293i | 0.966163 | − | 0.257932i | \(-0.0830411\pi\) |
−0.933251 | + | 0.359225i | \(0.883041\pi\) | |||||||
\(338\) | −6.45621 | − | 2.09775i | −0.351172 | − | 0.114103i | ||||
\(339\) | −13.5260 | − | 7.56945i | −0.734632 | − | 0.411116i | ||||
\(340\) | −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 | ||||
\(345\) | −10.1402 | + | 1.36353i | −0.545930 | + | 0.0734099i | ||||
\(346\) | 1.89418 | − | 1.37620i | 0.101832 | − | 0.0739852i | ||||
\(347\) | −8.81998 | − | 12.1397i | −0.473481 | − | 0.651691i | 0.503755 | − | 0.863847i | \(-0.331952\pi\) |
−0.977236 | + | 0.212156i | \(0.931952\pi\) | |||||||
\(348\) | 7.31941 | + | 15.8642i | 0.392362 | + | 0.850408i | ||||
\(349\) | −3.13156 | − | 1.01751i | −0.167628 | − | 0.0544658i | 0.224000 | − | 0.974589i | \(-0.428088\pi\) |
−0.391629 | + | 0.920123i | \(0.628088\pi\) | |||||||
\(350\) | −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 | \(-0.481156\pi\) | ||||
0.0591654 | + | 0.998248i | \(0.481156\pi\) | |||||||
\(354\) | −3.26951 | − | 1.82969i | −0.173772 | − | 0.0972468i | ||||
\(355\) | −2.02979 | + | 2.88712i | −0.107730 | + | 0.153232i | ||||
\(356\) | −10.1428 | + | 3.29558i | −0.537565 | + | 0.174665i | ||||
\(357\) | 11.0308 | + | 11.9257i | 0.583814 | + | 0.631176i | ||||
\(358\) | 4.53343 | − | 3.29373i | 0.239599 | − | 0.174079i | ||||
\(359\) | 4.73786 | + | 14.5816i | 0.250055 | + | 0.769590i | 0.994764 | + | 0.102200i | \(0.0325883\pi\) |
−0.744709 | + | 0.667389i | \(0.767412\pi\) | |||||||
\(360\) | −4.75119 | + | 12.0162i | −0.250410 | + | 0.633308i | ||||
\(361\) | −11.8768 | − | 8.62899i | −0.625094 | − | 0.454157i | ||||
\(362\) | 4.72951i | 0.248578i | ||||||||
\(363\) | −5.62391 | − | 18.2036i | −0.295179 | − | 0.955442i | ||||
\(364\) | 22.4286 | 1.17558 | ||||||||
\(365\) | 12.5848 | − | 9.44578i | 0.658719 | − | 0.494415i | ||||
\(366\) | −1.29701 | + | 6.53103i | −0.0677957 | + | 0.341382i | ||||
\(367\) | 20.7145 | − | 6.73055i | 1.08129 | − | 0.351332i | 0.286414 | − | 0.958106i | \(-0.407537\pi\) |
0.794874 | + | 0.606774i | \(0.207537\pi\) | |||||||
\(368\) | −5.28764 | + | 3.84170i | −0.275638 | + | 0.200262i | ||||
\(369\) | 5.39780 | − | 6.32791i | 0.280998 | − | 0.329418i | ||||
\(370\) | 9.90112 | − | 0.153951i | 0.514735 | − | 0.00800353i | ||||
\(371\) | 4.87742 | − | 15.0112i | 0.253223 | − | 0.779340i | ||||
\(372\) | −15.0543 | − | 8.42471i | −0.780528 | − | 0.436801i | ||||
\(373\) | 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 | ||||
\(375\) | 13.5875 | − | 13.7978i | 0.701655 | − | 0.712517i | ||||
\(376\) | −4.03166 | + | 5.54911i | −0.207917 | + | 0.286173i | ||||
\(377\) | 9.19476 | − | 28.2986i | 0.473554 | − | 1.45745i | ||||
\(378\) | 5.32016 | − | 4.20206i | 0.273639 | − | 0.216131i | ||||
\(379\) | 14.7670 | − | 10.7289i | 0.758530 | − | 0.551104i | −0.139929 | − | 0.990162i | \(-0.544687\pi\) |
0.898459 | + | 0.439057i | \(0.144687\pi\) | |||||||
\(380\) | −7.62383 | + | 2.60885i | −0.391094 | + | 0.133831i | ||||
\(381\) | −0.973017 | − | 2.10893i | −0.0498492 | − | 0.108044i | ||||
\(382\) | 0.173316 | − | 0.533411i | 0.00886760 | − | 0.0272917i | ||||
\(383\) | 28.2216 | + | 20.5042i | 1.44206 | + | 1.04772i | 0.987607 | + | 0.156945i | \(0.0501645\pi\) |
0.454451 | + | 0.890772i | \(0.349836\pi\) | |||||||
\(384\) | 2.33609 | + | 19.6855i | 0.119213 | + | 1.00457i | ||||
\(385\) | −14.5953 | − | 11.7807i | −0.743847 | − | 0.600400i | ||||
\(386\) | − | 1.04042i | − | 0.0529562i | ||||||
\(387\) | −22.3214 | − | 9.22970i | −1.13466 | − | 0.469172i | ||||
\(388\) | 4.53910 | + | 1.47484i | 0.230438 | + | 0.0748738i | ||||
\(389\) | −5.24356 | + | 1.70374i | −0.265859 | + | 0.0863829i | −0.438913 | − | 0.898529i | \(-0.644636\pi\) |
0.173054 | + | 0.984912i | \(0.444636\pi\) | |||||||
\(390\) | 9.21115 | − | 4.42481i | 0.466425 | − | 0.224059i | ||||
\(391\) | 5.75838 | + | 7.92573i | 0.291214 | + | 0.400821i | ||||
\(392\) | −1.10553 | + | 0.359208i | −0.0558376 | + | 0.0181428i | ||||
\(393\) | 6.14039 | − | 30.9197i | 0.309742 | − | 1.55969i | ||||
\(394\) | −5.13650 | − | 3.73189i | −0.258773 | − | 0.188010i | ||||
\(395\) | −2.76317 | − | 0.850546i | −0.139030 | − | 0.0427956i | ||||
\(396\) | −17.0034 | + | 2.91733i | −0.854452 | + | 0.146601i | ||||
\(397\) | 3.53950i | 0.177642i | 0.996048 | + | 0.0888212i | \(0.0283100\pi\) | ||||
−0.996048 | + | 0.0888212i | \(0.971690\pi\) | |||||||
\(398\) | 0.677273 | − | 0.932187i | 0.0339486 | − | 0.0467263i | ||||
\(399\) | 8.92995 | + | 1.77342i | 0.447057 | + | 0.0887818i | ||||
\(400\) | 3.45503 | − | 11.8781i | 0.172752 | − | 0.593904i | ||||
\(401\) | −13.4903 | − | 18.5679i | −0.673676 | − | 0.927235i | 0.326161 | − | 0.945314i | \(-0.394245\pi\) |
−0.999837 | + | 0.0180793i | \(0.994245\pi\) | |||||||
\(402\) | −7.34949 | + | 6.79800i | −0.366559 | + | 0.339053i | ||||
\(403\) | 9.07899 | + | 27.9423i | 0.452257 | + | 1.39190i | ||||
\(404\) | −4.02541 | + | 12.3889i | −0.200272 | + | 0.616373i | ||||
\(405\) | −8.83420 | + | 18.0819i | −0.438975 | + | 0.898499i | ||||
\(406\) | − | 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 | −0.987134 | − | 0.159893i | \(-0.948885\pi\) |
0.457108 | + | 0.889411i | \(0.348885\pi\) | |||||||
\(410\) | 1.83935 | − | 2.61623i | 0.0908388 | − | 0.129207i | ||||
\(411\) | 8.76108 | + | 18.9888i | 0.432152 | + | 0.936650i | ||||
\(412\) | −14.8055 | − | 20.3780i | −0.729415 | − | 1.00395i | ||||
\(413\) | −6.23348 | − | 8.57965i | −0.306730 | − | 0.422177i | ||||
\(414\) | 3.48464 | − | 2.13835i | 0.171261 | − | 0.105094i | ||||
\(415\) | 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 | \(0.868330\pi\) | |||||||
\(420\) | −12.2872 | + | 11.7249i | −0.599556 | + | 0.572118i | ||||
\(421\) | −2.56611 | + | 7.89766i | −0.125064 | + | 0.384908i | −0.993913 | − | 0.110170i | \(-0.964861\pi\) |
0.868848 | + | 0.495078i | \(0.164861\pi\) | |||||||
\(422\) | −1.99214 | − | 6.13118i | −0.0969759 | − | 0.298461i | ||||
\(423\) | −6.93290 | + | 8.12753i | −0.337089 | + | 0.395174i | ||||
\(424\) | −7.06573 | − | 9.72514i | −0.343142 | − | 0.472295i | ||||
\(425\) | −17.8042 | − | 5.17879i | −0.863631 | − | 0.251208i | ||||
\(426\) | 0.274701 | − | 1.38325i | 0.0133093 | − | 0.0670185i | ||||
\(427\) | −11.0782 | + | 15.2478i | −0.536110 | + | 0.737892i | ||||
\(428\) | − | 6.17598i | − | 0.298527i | ||||||
\(429\) | 24.6322 | + | 16.0159i | 1.18925 | + | 0.773255i | ||||
\(430\) | −8.87655 | − | 2.73234i | −0.428065 | − | 0.131765i | ||||
\(431\) | 1.30305 | + | 0.946719i | 0.0627656 | + | 0.0456019i | 0.618726 | − | 0.785607i | \(-0.287649\pi\) |
−0.555960 | + | 0.831209i | \(0.687649\pi\) | |||||||
\(432\) | 0.516595 | + | 12.8453i | 0.0248547 | + | 0.618018i | ||||
\(433\) | 32.5345 | − | 10.5711i | 1.56351 | − | 0.508014i | 0.605765 | − | 0.795643i | \(-0.292867\pi\) |
0.957742 | + | 0.287629i | \(0.0928670\pi\) | |||||||
\(434\) | 4.40531 | + | 6.06339i | 0.211462 | + | 0.291052i | ||||
\(435\) | 9.75631 | + | 20.3098i | 0.467779 | + | 0.973779i | ||||
\(436\) | 31.6503 | − | 10.2838i | 1.51578 | − | 0.492505i | ||||
\(437\) | 5.22173 | + | 1.69664i | 0.249789 | + | 0.0811615i | ||||
\(438\) | −3.07063 | + | 5.48697i | −0.146720 | + | 0.262177i | ||||
\(439\) | − | 33.7426i | − | 1.61045i | −0.592971 | − | 0.805224i | \(-0.702045\pi\) | ||
0.592971 | − | 0.805224i | \(-0.297955\pi\) | |||||||
\(440\) | −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 | 0.388019 | + | 0.921651i | \(0.373160\pi\) |
−0.855647 | + | 0.517560i | \(0.826840\pi\) | |||||||
\(444\) | 23.4088 | − | 10.8004i | 1.11093 | − | 0.512563i | ||||
\(445\) | −13.0128 | + | 4.45295i | −0.616866 | + | 0.211090i | ||||
\(446\) | 5.69157 | − | 4.13517i | 0.269504 | − | 0.195806i | ||||
\(447\) | 11.4848 | + | 24.8922i | 0.543212 | + | 1.17736i | ||||
\(448\) | −1.79941 | + | 5.53802i | −0.0850142 | + | 0.261647i | ||||
\(449\) | −11.5568 | + | 15.9065i | −0.545398 | + | 0.750675i | −0.989379 | − | 0.145361i | \(-0.953566\pi\) |
0.443981 | + | 0.896036i | \(0.353566\pi\) | |||||||
\(450\) | −2.73308 | + | 7.23937i | −0.128839 | + | 0.341267i | ||||
\(451\) | 9.17499 | + | 0.609355i | 0.432033 | + | 0.0286934i | ||||
\(452\) | −15.5163 | −0.729825 | ||||||||
\(453\) | −6.55249 | + | 11.7088i | −0.307863 | + | 0.550127i | ||||
\(454\) | 2.47343 | − | 7.61243i | 0.116084 | − | 0.357269i | ||||
\(455\) | 28.9212 | − | 0.449691i | 1.35585 | − | 0.0210819i | ||||
\(456\) | 5.09029 | − | 4.70833i | 0.238375 | − | 0.220488i | ||||
\(457\) | −33.4096 | + | 24.2735i | −1.56284 | + | 1.13547i | −0.629198 | + | 0.777245i | \(0.716617\pi\) |
−0.933637 | + | 0.358221i | \(0.883383\pi\) | |||||||
\(458\) | 1.35744 | − | 0.441057i | 0.0634288 | − | 0.0206093i | ||||
\(459\) | 19.2540 | − | 0.774331i | 0.898698 | − | 0.0361427i | ||||
\(460\) | −8.19155 | + | 6.14834i | −0.381933 | + | 0.286668i | ||||
\(461\) | −11.6638 | −0.543237 | −0.271619 | − | 0.962405i | \(-0.587559\pi\) | ||||
−0.271619 | + | 0.962405i | \(0.587559\pi\) | |||||||
\(462\) | 7.23853 | + | 1.94390i | 0.336767 | + | 0.0904383i | ||||
\(463\) | 11.5131i | 0.535058i | 0.963550 | + | 0.267529i | \(0.0862071\pi\) | ||||
−0.963550 | + | 0.267529i | \(0.913793\pi\) | |||||||
\(464\) | 11.6444 | + | 8.46013i | 0.540576 | + | 0.392752i | ||||
\(465\) | −19.5811 | − | 10.5617i | −0.908053 | − | 0.489785i | ||||
\(466\) | −4.50080 | − | 13.8520i | −0.208495 | − | 0.641683i | ||||
\(467\) | −23.8875 | + | 17.3553i | −1.10538 | + | 0.803108i | −0.981930 | − | 0.189243i | \(-0.939397\pi\) |
−0.123453 | + | 0.992350i | \(0.539397\pi\) | |||||||
\(468\) | 17.2656 | − | 20.2407i | 0.798102 | − | 0.935626i | ||||
\(469\) | −26.9506 | + | 8.75679i | −1.24446 | + | 0.404351i | ||||
\(470\) | −2.36245 | + | 3.36027i | −0.108971 | + | 0.154998i | ||||
\(471\) | −4.11244 | + | 7.34860i | −0.189491 | + | 0.338606i | ||||
\(472\) | −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 | ||||
\(477\) | −9.79217 | − | 15.9573i | −0.448353 | − | 0.730633i | ||||
\(478\) | 6.24621 | + | 8.59717i | 0.285695 | + | 0.393225i | ||||
\(479\) | −15.1094 | + | 10.9776i | −0.690366 | + | 0.501580i | −0.876780 | − | 0.480891i | \(-0.840313\pi\) |
0.186415 | + | 0.982471i | \(0.440313\pi\) | |||||||
\(480\) | 2.64716 | + | 19.6863i | 0.120826 | + | 0.898551i | ||||
\(481\) | −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 | ||||
\(486\) | 0.303324 | − | 8.03594i | 0.0137590 | − | 0.364518i | ||||
\(487\) | 6.83037 | + | 2.21932i | 0.309513 | + | 0.100567i | 0.459655 | − | 0.888097i | \(-0.347973\pi\) |
−0.150142 | + | 0.988664i | \(0.547973\pi\) | |||||||
\(488\) | 4.43570 | + | 13.6517i | 0.200795 | + | 0.617983i | ||||
\(489\) | −16.7820 | − | 18.1435i | −0.758909 | − | 0.820475i | ||||
\(490\) | −0.658633 | + | 0.225382i | −0.0297540 | + | 0.0101817i | ||||
\(491\) | 8.44246 | + | 25.9832i | 0.381003 | + | 1.17261i | 0.939339 | + | 0.342991i | \(0.111440\pi\) |
−0.558336 | + | 0.829615i | \(0.688560\pi\) | |||||||
\(492\) | 1.62183 | − | 8.16665i | 0.0731177 | − | 0.368181i | ||||
\(493\) | 12.6810 | − | 17.4539i | 0.571124 | − | 0.786085i | ||||
\(494\) | −5.48367 | −0.246722 | ||||||||
\(495\) | −21.8670 | + | 4.10275i | −0.982850 | + | 0.184405i | ||||
\(496\) | −14.2120 | −0.638138 | ||||||||
\(497\) | 2.34631 | − | 3.22942i | 0.105247 | − | 0.144859i | ||||
\(498\) | −2.02476 | + | 10.1956i | −0.0907315 | + | 0.456874i | ||||
\(499\) | −1.37487 | − | 4.23141i | −0.0615475 | − | 0.189424i | 0.915555 | − | 0.402193i | \(-0.131752\pi\) |
−0.977103 | + | 0.212769i | \(0.931752\pi\) | |||||||
\(500\) | 5.12426 | − | 18.6958i | 0.229164 | − | 0.836101i | ||||
\(501\) | 15.0153 | + | 16.2334i | 0.670833 | + | 0.725254i | ||||
\(502\) | −0.299081 | − | 0.920477i | −0.0133486 | − | 0.0410829i | ||||
\(503\) | −17.2838 | − | 5.61585i | −0.770647 | − | 0.250398i | −0.102805 | − | 0.994702i | \(-0.532782\pi\) |
−0.667842 | + | 0.744303i | \(0.732782\pi\) | |||||||
\(504\) | 5.58455 | − | 13.5059i | 0.248756 | − | 0.601599i | ||||
\(505\) | −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 | \(-0.303765\pi\) |
−0.0118265 | + | 0.999930i | \(0.503765\pi\) | |||||||
\(510\) | 7.34322 | − | 0.987424i | 0.325163 | − | 0.0437239i | ||||
\(511\) | −14.3986 | + | 10.4612i | −0.636956 | + | 0.462776i | ||||
\(512\) | 13.0606 | + | 17.9763i | 0.577201 | + | 0.794449i | ||||
\(513\) | 8.47473 | − | 6.69366i | 0.374168 | − | 0.295532i | ||||
\(514\) | −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 | ||||||||
\(519\) | 3.83897 | − | 6.85994i | 0.168512 | − | 0.301118i | ||||
\(520\) | 12.6698 | − | 18.0212i | 0.555608 | − | 0.790281i | ||||
\(521\) | 14.9131 | − | 4.84555i | 0.653353 | − | 0.212287i | 0.0364612 | − | 0.999335i | \(-0.488391\pi\) |
0.616892 | + | 0.787048i | \(0.288391\pi\) | |||||||
\(522\) | −6.84990 | − | 5.84307i | −0.299812 | − | 0.255744i | ||||
\(523\) | −7.55250 | + | 5.48721i | −0.330248 | + | 0.239939i | −0.740536 | − | 0.672017i | \(-0.765428\pi\) |
0.410288 | + | 0.911956i | \(0.365428\pi\) | |||||||
\(524\) | −9.75156 | − | 30.0122i | −0.425999 | − | 1.31109i | ||||
\(525\) | −15.6091 | + | 15.3654i | −0.681236 | + | 0.670602i | ||||
\(526\) | 6.54409 | + | 4.75456i | 0.285336 | + | 0.207309i | ||||
\(527\) | 21.3026i | 0.927955i | ||||||||
\(528\) | −11.0502 | + | 8.93801i | −0.480896 | + | 0.388977i | ||||
\(529\) | −16.0211 | −0.696571 | ||||||||
\(530\) | −4.32142 | − | 5.75751i | −0.187710 | − | 0.250090i | ||||
\(531\) | −12.5413 | − | 0.979237i | −0.544245 | − | 0.0424953i | ||||
\(532\) | 8.66786 | − | 2.81636i | 0.375800 | − | 0.122105i | ||||
\(533\) | −11.4719 | + | 8.33480i | −0.496902 | + | 0.361020i | ||||
\(534\) | 4.03458 | − | 3.73184i | 0.174593 | − | 0.161492i | ||||
\(535\) | −0.123828 | − | 7.96381i | −0.00535355 | − | 0.344305i | ||||
\(536\) | −6.66923 | + | 20.5258i | −0.288067 | + | 0.886578i | ||||
\(537\) | 9.18798 | − | 16.4182i | 0.396490 | − | 0.708497i | ||||
\(538\) | −11.5751 | −0.499039 | ||||||||
\(539\) | −1.53773 | − | 1.28118i | −0.0662348 | − | 0.0551842i | ||||
\(540\) | 1.12240 | + | 20.1145i | 0.0483004 | + | 0.865591i | ||||
\(541\) | 13.0787 | − | 18.0013i | 0.562297 | − | 0.773935i | −0.429319 | − | 0.903153i | \(-0.641247\pi\) |
0.991616 | + | 0.129217i | \(0.0412465\pi\) | |||||||
\(542\) | −0.654207 | + | 2.01344i | −0.0281006 | + | 0.0864848i | ||||
\(543\) | 6.65251 | + | 14.4187i | 0.285487 | + | 0.618766i | ||||
\(544\) | 15.3871 | − | 11.1794i | 0.659715 | − | 0.479311i | ||||
\(545\) | 40.6063 | − | 13.8954i | 1.73938 | − | 0.595212i | ||||
\(546\) | −10.4949 | + | 4.84216i | −0.449142 | + | 0.207225i | ||||
\(547\) | 2.56807 | − | 7.90369i | 0.109803 | − | 0.337937i | −0.881025 | − | 0.473070i | \(-0.843146\pi\) |
0.990828 | + | 0.135132i | \(0.0431459\pi\) | |||||||
\(548\) | 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 | ||||||
\(552\) | 4.30416 | − | 7.69120i | 0.183197 | − | 0.327359i | ||||
\(553\) | 3.10998 | + | 1.01049i | 0.132250 | + | 0.0429706i | ||||
\(554\) | 2.99588 | − | 0.973419i | 0.127283 | − | 0.0413566i | ||||
\(555\) | 29.9687 | − | 14.3962i | 1.27210 | − | 0.611086i | ||||
\(556\) | −0.0854261 | − | 0.117579i | −0.00362287 | − | 0.00498646i | ||||
\(557\) | 2.06055 | − | 0.669513i | 0.0873082 | − | 0.0283682i | −0.265037 | − | 0.964238i | \(-0.585384\pi\) |
0.352345 | + | 0.935870i | \(0.385384\pi\) | |||||||
\(558\) | 8.86314 | + | 0.692044i | 0.375207 | + | 0.0292966i | ||||
\(559\) | 33.3153 | + | 24.2050i | 1.40909 | + | 1.02376i | ||||
\(560\) | −4.11626 | + | 13.3725i | −0.173944 | + | 0.565090i | ||||
\(561\) | 13.3973 | + | 16.5632i | 0.565635 | + | 0.699300i | ||||
\(562\) | − | 5.25325i | − | 0.221595i | ||||||
\(563\) | −5.59468 | + | 7.70042i | −0.235788 | + | 0.324534i | −0.910471 | − | 0.413574i | \(-0.864280\pi\) |
0.674683 | + | 0.738108i | \(0.264280\pi\) | |||||||
\(564\) | −2.08307 | + | 10.4892i | −0.0877129 | + | 0.441675i | ||||
\(565\) | −20.0080 | + | 0.311101i | −0.841741 | + | 0.0130881i | ||||
\(566\) | 4.15655 | + | 5.72100i | 0.174713 | + | 0.240472i | ||||
\(567\) | 10.3088 | − | 20.2940i | 0.432929 | − | 0.852268i | ||||
\(568\) | −0.939465 | − | 2.89137i | −0.0394191 | − | 0.121319i | ||||
\(569\) | −10.2068 | + | 31.4135i | −0.427893 | + | 1.31692i | 0.472303 | + | 0.881436i | \(0.343423\pi\) |
−0.900196 | + | 0.435484i | \(0.856577\pi\) | |||||||
\(570\) | 3.00416 | − | 2.86668i | 0.125831 | − | 0.120072i | ||||
\(571\) | − | 1.96812i | − | 0.0823632i | −0.999152 | − | 0.0411816i | \(-0.986888\pi\) | ||
0.999152 | − | 0.0411816i | \(-0.0131122\pi\) | |||||||
\(572\) | 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 | ||||
\(576\) | 3.61260 | + | 5.88707i | 0.150525 | + | 0.245294i | ||||
\(577\) | 13.2674 | + | 18.2610i | 0.552330 | + | 0.760217i | 0.990326 | − | 0.138760i | \(-0.0443116\pi\) |
−0.437996 | + | 0.898977i | \(0.644312\pi\) | |||||||
\(578\) | 0.984748 | + | 1.35539i | 0.0409601 | + | 0.0563768i | ||||
\(579\) | −1.46346 | − | 3.17191i | −0.0608192 | − | 0.131820i | ||||
\(580\) | 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 | ||||||||
\(585\) | 21.8578 | − | 26.4461i | 0.903710 | − | 1.09341i | ||||
\(586\) | −4.83595 | + | 14.8835i | −0.199771 | + | 0.614832i | ||||
\(587\) | −4.67223 | − | 14.3796i | −0.192844 | − | 0.593512i | −0.999995 | − | 0.00316706i | \(-0.998992\pi\) |
0.807151 | − | 0.590345i | \(-0.201008\pi\) | |||||||
\(588\) | −1.33046 | + | 1.23063i | −0.0548673 | + | 0.0507502i | ||||
\(589\) | 7.01743 | + | 9.65866i | 0.289148 | + | 0.397978i | ||||
\(590\) | −4.83633 | + | 0.0751993i | −0.199108 | + | 0.00309591i | ||||
\(591\) | −20.9088 | − | 4.15231i | −0.860071 | − | 0.170803i | ||||
\(592\) | 12.4836 | − | 17.1822i | 0.513073 | − | 0.706184i | ||||
\(593\) | − | 28.2577i | − | 1.16040i | −0.814473 | − | 0.580201i | \(-0.802974\pi\) | ||
0.814473 | − | 0.580201i | \(-0.197026\pi\) | |||||||
\(594\) | 7.32652 | − | 5.03600i | 0.300611 | − | 0.206630i | ||||
\(595\) | 20.0442 | + | 6.16992i | 0.821732 | + | 0.252942i | ||||
\(596\) | 22.2017 | + | 16.1305i | 0.909417 | + | 0.660730i | ||||
\(597\) | 0.753572 | − | 3.79458i | 0.0308417 | − | 0.155302i | ||||
\(598\) | −6.62908 | + | 2.15392i | −0.271083 | + | 0.0880803i | ||||
\(599\) | −23.6634 | − | 32.5699i | −0.966860 | − | 1.33077i | −0.943617 | − | 0.331038i | \(-0.892601\pi\) |
−0.0232423 | − | 0.999730i | \(-0.507399\pi\) | |||||||
\(600\) | 2.47987 | + | 16.4961i | 0.101240 | + | 0.673449i | ||||
\(601\) | 16.6622 | − | 5.41387i | 0.679665 | − | 0.220837i | 0.0512163 | − | 0.998688i | \(-0.483690\pi\) |
0.628449 | + | 0.777851i | \(0.283690\pi\) | |||||||
\(602\) | 9.99068 | + | 3.24617i | 0.407190 | + | 0.132304i | ||||
\(603\) | −12.8441 | + | 31.0626i | −0.523053 | + | 1.26497i | ||||
\(604\) | 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 | 0.747797 | − | 0.663928i | \(-0.231112\pi\) |
−0.400351 | + | 0.916362i | \(0.631112\pi\) | |||||||
\(608\) | 3.29388 | − | 10.1375i | 0.133584 | − | 0.411130i | ||||
\(609\) | −10.6765 | − | 23.1404i | −0.432635 | − | 0.937697i | ||||
\(610\) | 2.78315 | + | 8.13316i | 0.112686 | + | 0.329302i | ||||
\(611\) | 14.7344 | − | 10.7052i | 0.596090 | − | 0.433085i | ||||
\(612\) | 16.4411 | − | 10.0890i | 0.664590 | − | 0.407825i | ||||
\(613\) | −4.52343 | + | 13.9217i | −0.182699 | + | 0.562291i | −0.999901 | − | 0.0140608i | \(-0.995524\pi\) |
0.817202 | + | 0.576352i | \(0.195524\pi\) | |||||||
\(614\) | 2.10212 | − | 2.89332i | 0.0848345 | − | 0.116765i | ||||
\(615\) | 1.92758 | − | 10.5632i | 0.0777274 | − | 0.425951i | ||||
\(616\) | 15.6637 | − | 3.96361i | 0.631108 | − | 0.159698i | ||||
\(617\) | 9.01979 | 0.363123 | 0.181562 | − | 0.983380i | \(-0.441885\pi\) | ||||
0.181562 | + | 0.983380i | \(0.441885\pi\) | |||||||
\(618\) | 11.3274 | + | 6.33904i | 0.455654 | + | 0.254994i | ||||
\(619\) | 2.03021 | − | 6.24834i | 0.0816009 | − | 0.251142i | −0.901930 | − | 0.431883i | \(-0.857849\pi\) |
0.983531 | + | 0.180741i | \(0.0578495\pi\) | |||||||
\(620\) | −22.2686 | + | 0.346251i | −0.894330 | + | 0.0139058i | ||||
\(621\) | 7.61572 | − | 11.4206i | 0.305608 | − | 0.458293i | ||||
\(622\) | 12.9700 | − | 9.42326i | 0.520050 | − | 0.377838i | ||||
\(623\) | 14.7948 | − | 4.80713i | 0.592743 | − | 0.192594i | ||||
\(624\) | 4.26920 | − | 21.4974i | 0.170905 | − | 0.860584i | ||||
\(625\) | 6.23278 | − | 24.2106i | 0.249311 | − | 0.968423i | ||||
\(626\) | −14.4389 | −0.577096 | ||||||||
\(627\) | 11.5306 | + | 3.09652i | 0.460488 | + | 0.123663i | ||||
\(628\) | 8.42992i | 0.336390i | ||||||||
\(629\) | −25.7547 | − | 18.7119i | −1.02691 | − | 0.746090i | ||||
\(630\) | 3.21821 | − | 8.13913i | 0.128217 | − | 0.324271i | ||||
\(631\) | 5.89065 | + | 18.1296i | 0.234503 | + | 0.721726i | 0.997187 | + | 0.0749547i | \(0.0238812\pi\) |
−0.762684 | + | 0.646771i | \(0.776119\pi\) | |||||||
\(632\) | 2.01484 | − | 1.46387i | 0.0801459 | − | 0.0582294i | ||||
\(633\) | −14.6975 | − | 15.8898i | −0.584172 | − | 0.631563i | ||||
\(634\) | 0.487550 | − | 0.158415i | 0.0193631 | − | 0.00629145i | ||||
\(635\) | −2.45288 | − | 1.72450i | −0.0973397 | − | 0.0684348i | ||||
\(636\) | −16.3551 | − | 9.15266i | −0.648521 | − | 0.362926i | ||||
\(637\) | 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 | \(-0.292106\pi\) |
0.0247960 | + | 0.999693i | \(0.492106\pi\) | |||||||
\(642\) | 1.33335 | + | 2.88991i | 0.0526230 | + | 0.114056i | ||||
\(643\) | −17.4791 | − | 24.0580i | −0.689310 | − | 0.948754i | 0.310688 | − | 0.950512i | \(-0.399440\pi\) |
−0.999998 | + | 0.00175788i | \(0.999440\pi\) | |||||||
\(644\) | 9.37216 | − | 6.80927i | 0.369315 | − | 0.268323i | ||||
\(645\) | −30.9050 | + | 4.15571i | −1.21688 | + | 0.163631i | ||||
\(646\) | −3.78142 | − | 1.22866i | −0.148778 | − | 0.0483408i | ||||
\(647\) | −8.05918 | − | 5.85534i | −0.316839 | − | 0.230197i | 0.417986 | − | 0.908453i | \(-0.362736\pi\) |
−0.734826 | + | 0.678256i | \(0.762736\pi\) | |||||||
\(648\) | −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 | ||||
\(651\) | 21.9591 | + | 12.2888i | 0.860644 | + | 0.481635i | ||||
\(652\) | −23.5299 | − | 7.64534i | −0.921503 | − | 0.299414i | ||||
\(653\) | −9.82191 | − | 30.2287i | −0.384361 | − | 1.18294i | −0.936943 | − | 0.349483i | \(-0.886357\pi\) |
0.552582 | − | 0.833459i | \(-0.313643\pi\) | |||||||
\(654\) | −12.5899 | + | 11.6451i | −0.492302 | + | 0.455361i | ||||
\(655\) | −13.1762 | − | 38.5046i | −0.514836 | − | 1.50450i | ||||
\(656\) | −2.11963 | − | 6.52354i | −0.0827575 | − | 0.254701i | ||||
\(657\) | −1.64338 | + | 21.0471i | −0.0641143 | + | 0.821125i | ||||
\(658\) | 2.73084 | − | 3.75868i | 0.106459 | − | 0.146529i | ||||
\(659\) | −10.4078 | −0.405432 | −0.202716 | − | 0.979238i | \(-0.564977\pi\) | ||||
−0.202716 | + | 0.979238i | \(0.564977\pi\) | |||||||
\(660\) | −17.0966 | + | 14.2741i | −0.665484 | + | 0.555618i | ||||
\(661\) | 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 | ||||
\(663\) | −32.2227 | − | 6.39917i | −1.25143 | − | 0.248523i | ||||
\(664\) | 6.92456 | + | 21.3116i | 0.268725 | + | 0.827051i | ||||
\(665\) | 11.1206 | − | 3.80543i | 0.431237 | − | 0.147568i | ||||
\(666\) | −8.62191 | + | 10.1076i | −0.334092 | + | 0.391661i | ||||
\(667\) | −4.74920 | − | 14.6165i | −0.183890 | − | 0.565955i | ||||
\(668\) | 21.0528 | + | 6.84046i | 0.814556 | + | 0.264665i | ||||
\(669\) | 11.5352 | − | 20.6125i | 0.445977 | − | 0.796925i | ||||
\(670\) | −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 | 0.742658 | − | 0.669671i | \(-0.233565\pi\) |
−0.407401 | + | 0.913250i | \(0.633565\pi\) | |||||||
\(674\) | −0.959261 | − | 0.311683i | −0.0369494 | − | 0.0120056i | ||||
\(675\) | 1.85061 | + | 25.9148i | 0.0712299 | + | 0.997460i | ||||
\(676\) | −18.4588 | + | 13.4111i | −0.709954 | + | 0.515812i | ||||
\(677\) | −15.2989 | − | 21.0571i | −0.587984 | − | 0.809291i | 0.406558 | − | 0.913625i | \(-0.366729\pi\) |
−0.994542 | + | 0.104334i | \(0.966729\pi\) | |||||||
\(678\) | 7.26050 | − | 3.34985i | 0.278838 | − | 0.128650i | ||||
\(679\) | −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 | \(-0.391207\pi\) | ||||
0.335169 | + | 0.942158i | \(0.391207\pi\) | |||||||
\(684\) | 4.13093 | − | 9.99036i | 0.157950 | − | 0.381991i | ||||
\(685\) | 22.0858 | + | 15.5275i | 0.843857 | + | 0.593275i | ||||
\(686\) | 9.43482 | − | 3.06556i | 0.360223 | − | 0.117044i | ||||
\(687\) | 3.51798 | − | 3.25400i | 0.134219 | − | 0.124148i | ||||
\(688\) | −16.1155 | + | 11.7086i | −0.614398 | + | 0.446386i | ||||
\(689\) | 9.86348 | + | 30.3567i | 0.375769 | + | 1.15650i | ||||
\(690\) | 2.50567 | − | 4.64547i | 0.0953892 | − | 0.176850i | ||||
\(691\) | −21.4682 | − | 15.5976i | −0.816689 | − | 0.593359i | 0.0990734 | − | 0.995080i | \(-0.468412\pi\) |
−0.915762 | + | 0.401721i | \(0.868412\pi\) | |||||||
\(692\) | − | 7.86936i | − | 0.299148i | ||||||
\(693\) | 24.8022 | − | 4.25539i | 0.942156 | − | 0.161649i | ||||
\(694\) | 7.74090 | 0.293841 | ||||||||
\(695\) | −0.112513 | − | 0.149903i | −0.00426785 | − | 0.00568614i | ||||
\(696\) | −19.0375 | − | 3.78069i | −0.721615 | − | 0.143307i | ||||
\(697\) | −9.77823 | + | 3.17714i | −0.370377 | + | 0.120343i | ||||
\(698\) | 1.37422 | − | 0.998426i | 0.0520148 | − | 0.0377910i | ||||
\(699\) | −33.2056 | − | 35.8994i | −1.25595 | − | 1.35784i | ||||
\(700\) | −6.12392 | + | 21.0535i | −0.231462 | + | 0.795746i | ||||
\(701\) | 11.2974 | − | 34.7699i | 0.426698 | − | 1.31324i | −0.474660 | − | 0.880169i | \(-0.657429\pi\) |
0.901359 | − | 0.433074i | \(-0.142571\pi\) | |||||||
\(702\) | −3.70923 | + | 13.1987i | −0.139996 | + | 0.498152i | ||||
\(703\) | −17.8412 | −0.672895 | ||||||||
\(704\) | −2.83577 | + | 7.09004i | −0.106877 | + | 0.267216i | ||||
\(705\) | −2.47577 | + | 13.5674i | −0.0932428 | + | 0.510977i | ||||
\(706\) | −0.674135 | + | 0.927867i | −0.0253714 | + | 0.0349207i | ||||
\(707\) | 5.87171 | − | 18.0713i | 0.220828 | − | 0.679640i | ||||
\(708\) | −11.4343 | + | 5.27558i | −0.429729 | + | 0.198268i | ||||
\(709\) | 22.0323 | − | 16.0074i | 0.827439 | − | 0.601170i | −0.0913944 | − | 0.995815i | \(-0.529132\pi\) |
0.918834 | + | 0.394645i | \(0.129132\pi\) | |||||||
\(710\) | −0.589460 | − | 1.72257i | −0.0221220 | − | 0.0646470i | ||||
\(711\) | 3.30600 | − | 2.02872i | 0.123985 | − | 0.0760831i | ||||
\(712\) | 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 | ||||||
\(717\) | 31.1354 | + | 17.4240i | 1.16277 | + | 0.650713i | ||||
\(718\) | −7.52228 | − | 2.44414i | −0.280729 | − | 0.0912143i | ||||
\(719\) | 13.5386 | − | 4.39895i | 0.504904 | − | 0.164053i | −0.0454795 | − | 0.998965i | \(-0.514482\pi\) |
0.550383 | + | 0.834912i | \(0.314482\pi\) | |||||||
\(720\) | 8.89929 | + | 14.0089i | 0.331657 | + | 0.522081i | ||||
\(721\) | 21.5962 | + | 29.7246i | 0.804285 | + | 1.10700i | ||||
\(722\) | 7.20262 | − | 2.34027i | 0.268054 | − | 0.0870959i | ||||
\(723\) | −43.3909 | − | 8.61707i | −1.61372 | − | 0.320472i | ||||
\(724\) | 12.8602 | + | 9.34350i | 0.477947 | + | 0.347249i | ||||
\(725\) | 24.0530 | + | 16.3577i | 0.893306 | + | 0.607509i | ||||
\(726\) | 9.30258 | + | 3.17261i | 0.345251 | + | 0.117747i | ||||
\(727\) | 32.9857i | 1.22337i | 0.791100 | + | 0.611687i | \(0.209509\pi\) | ||||
−0.791100 | + | 0.611687i | \(0.790491\pi\) | |||||||
\(728\) | −14.6455 | + | 20.1579i | −0.542800 | + | 0.747100i | ||||
\(729\) | −10.3786 | − | 24.9256i | −0.384392 | − | 0.923170i | ||||
\(730\) | 0.126201 | + | 8.11644i | 0.00467092 | + | 0.300403i | ||||
\(731\) | 17.5502 | + | 24.1558i | 0.649117 | + | 0.893433i | ||||
\(732\) | 15.1965 | + | 16.4293i | 0.561678 | + | 0.607244i | ||||
\(733\) | −10.9875 | − | 33.8161i | −0.405833 | − | 1.24903i | −0.920198 | − | 0.391454i | \(-0.871972\pi\) |
0.514365 | − | 0.857572i | \(-0.328028\pi\) | |||||||
\(734\) | −3.47211 | + | 10.6861i | −0.128158 | + | 0.394430i | ||||
\(735\) | −1.69093 | + | 1.61355i | −0.0623709 | + | 0.0595165i | ||||
\(736\) | − | 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 | 0.0769128 | + | 0.997038i | \(0.475494\pi\) |
−0.972007 | + | 0.234953i | \(0.924506\pi\) | |||||||
\(740\) | 19.1418 | − | 27.2267i | 0.703666 | − | 1.00087i | ||||
\(741\) | −16.7179 | + | 7.71330i | −0.614147 | + | 0.283355i | ||||
\(742\) | 4.78596 | + | 6.58731i | 0.175698 | + | 0.241828i | ||||
\(743\) | 3.10761 | + | 4.27726i | 0.114007 | + | 0.156917i | 0.862207 | − | 0.506556i | \(-0.169082\pi\) |
−0.748200 | + | 0.663473i | \(0.769082\pi\) | |||||||
\(744\) | 17.4020 | − | 8.02894i | 0.637988 | − | 0.294355i | ||||
\(745\) | 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 | ||||||||
\(750\) | 1.63850 | + | 9.85455i | 0.0598295 | + | 0.359837i | ||||
\(751\) | −9.54614 | + | 29.3800i | −0.348344 | + | 1.07209i | 0.611426 | + | 0.791302i | \(0.290596\pi\) |
−0.959769 | + | 0.280790i | \(0.909404\pi\) | |||||||
\(752\) | 2.72244 | + | 8.37880i | 0.0992770 | + | 0.305543i | ||||
\(753\) | −2.20654 | − | 2.38554i | −0.0804108 | − | 0.0869341i | ||||
\(754\) | 9.02235 | + | 12.4182i | 0.328575 | + | 0.452244i | ||||
\(755\) | 0.269304 | + | 17.3199i | 0.00980099 | + | 0.630336i | ||||
\(756\) | −0.915646 | − | 22.7678i | −0.0333017 | − | 0.828056i | ||||
\(757\) | −9.35522 | + | 12.8764i | −0.340021 | + | 0.467999i | −0.944448 | − | 0.328662i | \(-0.893402\pi\) |
0.604426 | + | 0.796661i | \(0.293402\pi\) | |||||||
\(758\) | 9.41624i | 0.342013i | ||||||||
\(759\) | 15.1554 | − | 0.785762i | 0.550105 | − | 0.0285213i | ||||
\(760\) | 2.63352 | − | 8.55552i | 0.0955279 | − | 0.310341i | ||||
\(761\) | −40.7087 | − | 29.5766i | −1.47569 | − | 1.07215i | −0.978914 | − | 0.204274i | \(-0.934517\pi\) |
−0.496777 | − | 0.867878i | \(-0.665483\pi\) | |||||||
\(762\) | 1.17520 | + | 0.233385i | 0.0425731 | + | 0.00845466i | ||||
\(763\) | −46.1671 | + | 15.0006i | −1.67136 | + | 0.543058i | ||||
\(764\) | −1.10802 | − | 1.52506i | −0.0400869 | − | 0.0551748i | ||||
\(765\) | 20.9981 | − | 13.3393i | 0.759189 | − | 0.482282i | ||||
\(766\) | −17.1149 | + | 5.56096i | −0.618386 | + | 0.200926i | ||||
\(767\) | 20.3966 | + | 6.62727i | 0.736480 | + | 0.239297i | ||||
\(768\) | −1.96416 | − | 1.09919i | −0.0708756 | − | 0.0396635i | ||||
\(769\) | − | 20.8541i | − | 0.752017i | −0.926616 | − | 0.376009i | \(-0.877296\pi\) | ||
0.926616 | − | 0.376009i | \(-0.122704\pi\) | |||||||
\(770\) | 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 | 0.805940 | + | 0.591998i | \(0.201661\pi\) |
−0.999986 | + | 0.00521701i | \(0.998339\pi\) | |||||||
\(774\) | 10.6204 | − | 6.51719i | 0.381741 | − | 0.234255i | ||||
\(775\) | −28.7080 | + | 0.892969i | −1.03122 | + | 0.0320764i | ||||
\(776\) | −4.28949 | + | 3.11650i | −0.153984 | + | 0.111876i | ||||
\(777\) | −34.1455 | + | 15.7541i | −1.22496 | + | 0.565175i | ||||
\(778\) | 0.878912 | − | 2.70501i | 0.0315105 | − | 0.0969794i | ||||
\(779\) | −3.38688 | + | 4.66164i | −0.121347 | + | 0.167020i | ||||
\(780\) | 6.16562 | − | 33.7880i | 0.220764 | − | 1.20980i | ||||
\(781\) | 3.35076 | − | 4.02175i | 0.119900 | − | 0.143910i | ||||
\(782\) | −5.05387 | −0.180726 | ||||||||
\(783\) | −29.1019 | − | 8.17853i | −1.04002 | − | 0.292277i | ||||
\(784\) | −0.461377 | + | 1.41997i | −0.0164777 | + | 0.0507133i | ||||
\(785\) | 0.169019 | + | 10.8702i | 0.00603256 | + | 0.387975i | ||||
\(786\) | 11.0424 | + | 11.9382i | 0.393870 | + | 0.425823i | ||||
\(787\) | 24.0431 | − | 17.4683i | 0.857043 | − | 0.622679i | −0.0700355 | − | 0.997544i | \(-0.522311\pi\) |
0.927079 | + | 0.374866i | \(0.122311\pi\) | |||||||
\(788\) | −20.2951 | + | 6.59427i | −0.722983 | + | 0.234911i | ||||
\(789\) | 26.6385 | + | 5.29019i | 0.948356 | + | 0.188336i | ||||
\(790\) | 1.19283 | − | 0.895303i | 0.0424390 | − | 0.0318535i | ||||
\(791\) | 22.6330 | 0.804737 | ||||||||
\(792\) | 8.48100 | − | 17.1869i | 0.301359 | − | 0.610710i | ||||
\(793\) | − | 38.1144i | − | 1.35348i | ||||||
\(794\) | −1.47721 | − | 1.07326i | −0.0524243 | − | 0.0380885i | ||||
\(795\) | −21.2731 | − | 11.4743i | −0.754478 | − | 0.406950i | ||||
\(796\) | −1.19675 | − | 3.68321i | −0.0424176 | − | 0.130548i | ||||
\(797\) | 5.25913 | − | 3.82098i | 0.186288 | − | 0.135346i | −0.490733 | − | 0.871310i | \(-0.663271\pi\) |
0.677021 | + | 0.735964i | \(0.263271\pi\) | |||||||
\(798\) | −3.44790 | + | 3.18918i | −0.122054 | + | 0.112896i | ||||
\(799\) | 12.5591 | − | 4.08070i | 0.444309 | − | 0.144365i | ||||
\(800\) | 15.7106 | + | 20.2675i | 0.555455 | + | 0.716563i | ||||
\(801\) | 7.05092 | − | 17.0522i | 0.249132 | − | 0.602509i | ||||
\(802\) | 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 | ||||
\(807\) | −35.2887 | + | 16.2815i | −1.24222 | + | 0.573137i | ||||
\(808\) | −8.50612 | − | 11.7077i | −0.299244 | − | 0.411874i | ||||
\(809\) | −26.2994 | + | 19.1076i | −0.924636 | + | 0.671787i | −0.944674 | − | 0.328012i | \(-0.893621\pi\) |
0.0200376 | + | 0.999799i | \(0.493621\pi\) | |||||||
\(810\) | −4.86777 | − | 9.16981i | −0.171036 | − | 0.322194i | ||||
\(811\) | 27.4294 | + | 8.91235i | 0.963176 | + | 0.312955i | 0.748058 | − | 0.663633i | \(-0.230986\pi\) |
0.215118 | + | 0.976588i | \(0.430986\pi\) | |||||||
\(812\) | −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 | ||||
\(816\) | 7.76060 | − | 13.8676i | 0.271675 | − | 0.485462i | ||||
\(817\) | 15.9146 | + | 5.17098i | 0.556782 | + | 0.180910i | ||||
\(818\) | −2.90714 | − | 8.94725i | −0.101646 | − | 0.312833i | ||||
\(819\) | −25.1846 | + | 29.5243i | −0.880023 | + | 1.03166i | ||||
\(820\) | −3.48015 | − | 10.1700i | −0.121532 | − | 0.355152i | ||||
\(821\) | −10.1698 | − | 31.2993i | −0.354927 | − | 1.09235i | −0.956052 | − | 0.293198i | \(-0.905281\pi\) |
0.601125 | − | 0.799155i | \(-0.294719\pi\) | |||||||
\(822\) | −10.5816 | − | 2.10141i | −0.369074 | − | 0.0732951i | ||||
\(823\) | −20.7542 | + | 28.5657i | −0.723447 | + | 0.995739i | 0.275956 | + | 0.961170i | \(0.411006\pi\) |
−0.999402 | + | 0.0345686i | \(0.988994\pi\) | |||||||
\(824\) | 27.9827 | 0.974824 | ||||||||
\(825\) | −21.7595 | + | 18.7489i | −0.757570 | + | 0.652754i | ||||
\(826\) | 5.47085 | 0.190355 | ||||||||
\(827\) | −7.52960 | + | 10.3636i | −0.261830 | + | 0.360378i | −0.919610 | − | 0.392832i | \(-0.871495\pi\) |
0.657780 | + | 0.753210i | \(0.271495\pi\) | |||||||
\(828\) | 1.06969 | − | 13.6997i | 0.0371743 | − | 0.476098i | ||||
\(829\) | 6.44230 | + | 19.8274i | 0.223750 | + | 0.688633i | 0.998416 | + | 0.0562619i | \(0.0179182\pi\) |
−0.774666 | + | 0.632371i | \(0.782082\pi\) | |||||||
\(830\) | 4.34476 | + | 12.6967i | 0.150809 | + | 0.440707i | ||||
\(831\) | 7.76423 | − | 7.18162i | 0.269338 | − | 0.249128i | ||||
\(832\) | −3.63890 | − | 11.1994i | −0.126156 | − | 0.388269i | ||||
\(833\) | 2.12842 | + | 0.691564i | 0.0737453 | + | 0.0239613i | ||||
\(834\) | 0.0653576 | + | 0.0365755i | 0.00226315 | + | 0.00126651i | ||||
\(835\) | 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 | \(-0.0584464\pi\) |
0.688097 | + | 0.725619i | \(0.258446\pi\) | |||||||
\(840\) | −2.51447 | − | 18.6995i | −0.0867574 | − | 0.645193i | ||||
\(841\) | −3.91954 | + | 2.84771i | −0.135156 | + | 0.0981969i | ||||
\(842\) | −2.51799 | − | 3.46571i | −0.0867756 | − | 0.119436i | ||||
\(843\) | −7.38920 | − | 16.0154i | −0.254498 | − | 0.551601i | ||||
\(844\) | −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 | ||||||||
\(849\) | 20.7191 | + | 11.5949i | 0.711077 | + | 0.397935i | ||||
\(850\) | 7.56001 | − | 5.86026i | 0.259306 | − | 0.201005i | ||||
\(851\) | −21.5679 | + | 7.00783i | −0.739338 | + | 0.240225i | ||||
\(852\) | −3.21855 | − | 3.47966i | −0.110266 | − | 0.119211i | ||||
\(853\) | 20.5235 | − | 14.9112i | 0.702710 | − | 0.510549i | −0.178103 | − | 0.984012i | \(-0.556996\pi\) |
0.880814 | + | 0.473463i | \(0.156996\pi\) | |||||||
\(854\) | −3.00452 | − | 9.24695i | −0.102812 | − | 0.316424i | ||||
\(855\) | 5.12644 | − | 12.9652i | 0.175321 | − | 0.443401i | ||||
\(856\) | 5.55071 | + | 4.03283i | 0.189719 | + | 0.137839i | ||||
\(857\) | − | 21.4063i | − | 0.731224i | −0.930767 | − | 0.365612i | \(-0.880860\pi\) | ||
0.930767 | − | 0.365612i | \(-0.119140\pi\) | |||||||
\(858\) | −14.1533 | + | 5.42385i | −0.483185 | + | 0.185167i | ||||
\(859\) | −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 | ||||
\(861\) | −2.36570 | + | 11.9124i | −0.0806228 | + | 0.405972i | ||||
\(862\) | −0.790227 | + | 0.256760i | −0.0269152 | + | 0.00874529i | ||||
\(863\) | 15.1277 | − | 10.9909i | 0.514952 | − | 0.374134i | −0.299747 | − | 0.954019i | \(-0.596902\pi\) |
0.814699 | + | 0.579884i | \(0.196902\pi\) | |||||||
\(864\) | −22.1720 | − | 14.7852i | −0.754308 | − | 0.503003i | ||||
\(865\) | −0.157780 | − | 10.1474i | −0.00536468 | − | 0.345021i | ||||
\(866\) | −5.45334 | + | 16.7837i | −0.185312 | + | 0.570332i | ||||
\(867\) | 4.90866 | + | 2.74699i | 0.166707 | + | 0.0932927i | ||||
\(868\) | 25.1903 | 0.855014 | ||||||||
\(869\) | 3.98155 | + | 1.59248i | 0.135065 | + | 0.0540213i | ||||
\(870\) | −11.4346 | − | 2.08658i | −0.387670 | − | 0.0707418i | ||||
\(871\) | 33.6838 | − | 46.3618i | 1.14133 | − | 1.57091i | ||||
\(872\) | −11.4246 | + | 35.1612i | −0.386884 | + | 1.19071i | ||||
\(873\) | −7.03831 | + | 4.31906i | −0.238211 | + | 0.146178i | ||||
\(874\) | −2.29144 | + | 1.66483i | −0.0775092 | + | 0.0563137i | ||||
\(875\) | −7.47455 | + | 27.2708i | −0.252686 | + | 0.921921i | ||||
\(876\) | 8.85361 | + | 19.1894i | 0.299136 | + | 0.648350i | ||||
\(877\) | −17.9731 | + | 55.3154i | −0.606907 | + | 1.86787i | −0.123797 | + | 0.992308i | \(0.539507\pi\) |
−0.483110 | + | 0.875560i | \(0.660493\pi\) | |||||||
\(878\) | 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 | \(-0.0163494\pi\) | |||||||
\(882\) | 0.356876 | − | 0.863081i | 0.0120167 | − | 0.0290614i | ||||
\(883\) | −4.12061 | − | 1.33887i | −0.138670 | − | 0.0450565i | 0.238860 | − | 0.971054i | \(-0.423226\pi\) |
−0.377529 | + | 0.925998i | \(0.623226\pi\) | |||||||
\(884\) | −31.2770 | + | 10.1625i | −1.05196 | + | 0.341802i | ||||
\(885\) | −14.6386 | + | 7.03201i | −0.492071 | + | 0.236379i | ||||
\(886\) | −9.65788 | − | 13.2929i | −0.324463 | − | 0.446585i | ||||
\(887\) | −11.4992 | + | 3.73630i | −0.386104 | + | 0.125453i | −0.495636 | − | 0.868531i | \(-0.665065\pi\) |
0.109532 | + | 0.993983i | \(0.465065\pi\) | |||||||
\(888\) | −5.57871 | + | 28.0914i | −0.187209 | + | 0.942684i | ||||
\(889\) | 2.74371 | + | 1.99342i | 0.0920210 | + | 0.0668572i | ||||
\(890\) | 2.08734 | − | 6.78113i | 0.0699678 | − | 0.227304i | ||||
\(891\) | 15.2525 | − | 25.6585i | 0.510979 | − | 0.859593i | ||||
\(892\) | − | 23.6455i | − | 0.791711i | ||||||
\(893\) | 4.35009 | − | 5.98738i | 0.145570 | − | 0.200360i | ||||
\(894\) | −13.8712 | − | 2.75471i | −0.463923 | − | 0.0921313i | ||||
\(895\) | −0.377621 | − | 24.2861i | −0.0126225 | − | 0.811796i | ||||
\(896\) | −17.0143 | − | 23.4181i | −0.568406 | − | 0.782344i | ||||
\(897\) | −17.1802 | + | 15.8910i | −0.573630 | + | 0.530586i | ||||
\(898\) | −3.13432 | − | 9.64644i | −0.104594 | − | 0.321906i | ||||
\(899\) | 10.3269 | − | 31.7831i | 0.344423 | − | 1.06002i | ||||
\(900\) | 14.2855 | + | 21.7336i | 0.476183 | + | 0.724452i | ||||
\(901\) | 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 | ||||
\(906\) | −2.89980 | − | 6.28505i | −0.0963394 | − | 0.208807i | ||||
\(907\) | −25.1859 | − | 34.6654i | −0.836284 | − | 1.15105i | −0.986721 | − | 0.162427i | \(-0.948068\pi\) |
0.150437 | − | 0.988620i | \(-0.451932\pi\) | |||||||
\(908\) | −15.8129 | − | 21.7645i | −0.524768 | − | 0.722282i | ||||
\(909\) | −11.7884 | − | 19.2102i | −0.390995 | − | 0.637164i | ||||
\(910\) | −8.58189 | + | 12.2066i | −0.284487 | + | 0.404646i | ||||
\(911\) | 28.5559 | − | 39.3038i | 0.946098 | − | 1.30219i | −0.00714073 | − | 0.999975i | \(-0.502273\pi\) |
0.953239 | − | 0.302218i | \(-0.0977270\pi\) | |||||||
\(912\) | −1.04953 | − | 8.84407i | −0.0347534 | − | 0.292857i | ||||
\(913\) | −24.6976 | + | 29.6433i | −0.817372 | + | 0.981051i | ||||
\(914\) | − | 21.3038i | − | 0.704666i | ||||||
\(915\) | 19.9250 | + | 20.8806i | 0.658699 | + | 0.690290i | ||||
\(916\) | 1.48242 | − | 4.56241i | 0.0489804 | − | 0.150746i | ||||
\(917\) | 14.2242 | + | 43.7776i | 0.469725 | + | 1.44566i | ||||
\(918\) | −5.51507 | + | 8.27044i | −0.182024 | + | 0.272965i | ||||
\(919\) | 17.6344 | + | 24.2717i | 0.581705 | + | 0.800649i | 0.993881 | − | 0.110456i | \(-0.0352310\pi\) |
−0.412176 | + | 0.911104i | \(0.635231\pi\) | |||||||
\(920\) | −0.176899 | − | 11.3770i | −0.00583219 | − | 0.375088i | ||||
\(921\) | 2.33893 | − | 11.7776i | 0.0770705 | − | 0.388085i | ||||
\(922\) | 3.53673 | − | 4.86789i | 0.116476 | − | 0.160315i | ||||
\(923\) | 8.07249i | 0.265709i | ||||||||
\(924\) | 19.5860 | − | 15.8423i | 0.644332 | − | 0.521174i | ||||
\(925\) | 24.1371 | − | 35.4921i | 0.793622 | − | 1.16697i | ||||
\(926\) | −4.80498 | − | 3.49103i | −0.157902 | − | 0.114722i | ||||
\(927\) | 43.4499 | + | 3.39262i | 1.42708 | + | 0.111428i | ||||
\(928\) | −28.3767 | + | 9.22014i | −0.931510 | + | 0.302666i | ||||
\(929\) | 29.0805 | + | 40.0259i | 0.954100 | + | 1.31321i | 0.949682 | + | 0.313216i | \(0.101406\pi\) |
0.00441860 | + | 0.999990i | \(0.498594\pi\) | |||||||
\(930\) | 10.3453 | − | 4.96965i | 0.339237 | − | 0.162961i | ||||
\(931\) | 1.19284 | − | 0.387578i | 0.0390939 | − | 0.0127024i | ||||
\(932\) | −46.5573 | − | 15.1274i | −1.52504 | − | 0.495514i | ||||
\(933\) | 26.2865 | − | 46.9720i | 0.860583 | − | 1.53779i | ||||
\(934\) | − | 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 | 0.794488 | − | 0.607280i | \(-0.207739\pi\) |
−0.332047 | + | 0.943263i | \(0.607739\pi\) | |||||||
\(938\) | 4.51739 | − | 13.9031i | 0.147498 | − | 0.453952i | ||||
\(939\) | −44.0195 | + | 20.3097i | −1.43652 | + | 0.662783i | ||||
\(940\) | 4.46989 | + | 13.0623i | 0.145792 | + | 0.426046i | ||||
\(941\) | −29.6583 | + | 21.5481i | −0.966834 | + | 0.702446i | −0.954728 | − | 0.297480i | \(-0.903854\pi\) |
−0.0121065 | + | 0.999927i | \(0.503854\pi\) | |||||||
\(942\) | −1.81996 | − | 3.94459i | −0.0592974 | − | 0.128522i | ||||
\(943\) | −2.26329 | + | 6.96568i | −0.0737027 | + | 0.226834i | ||||
\(944\) | −6.09777 | + | 8.39286i | −0.198466 | + | 0.273164i | ||||
\(945\) | −1.63720 | − | 29.3402i | −0.0532581 | − | 0.954438i | ||||
\(946\) | 12.7906 | + | 5.11578i | 0.415857 | + | 0.166328i | ||||
\(947\) | 30.8417 | 1.00222 | 0.501111 | − | 0.865383i | \(-0.332925\pi\) | ||||
0.501111 | + | 0.865383i | \(0.332925\pi\) | |||||||
\(948\) | 1.89623 | − | 3.38841i | 0.0615867 | − | 0.110051i | ||||
\(949\) | 11.1220 | − | 34.2301i | 0.361037 | − | 1.11116i | ||||
\(950\) | 1.49726 | − | 5.14746i | 0.0485777 | − | 0.167006i | ||||
\(951\) | 1.26355 | − | 1.16874i | 0.0409735 | − | 0.0378990i | ||||
\(952\) | −14.6158 | + | 10.6190i | −0.473700 | + | 0.344163i | ||||
\(953\) | 30.7760 | − | 9.99972i | 0.996932 | − | 0.323923i | 0.235293 | − | 0.971924i | \(-0.424395\pi\) |
0.761639 | + | 0.648002i | \(0.224395\pi\) | |||||||
\(954\) | 9.62897 | + | 0.751841i | 0.311750 | + | 0.0243418i | ||||
\(955\) | −1.45935 | − | 1.94432i | −0.0472235 | − | 0.0629168i | ||||
\(956\) | 35.7168 | 1.15516 | ||||||||
\(957\) | −11.9591 | − | 31.2067i | −0.386583 | − | 1.00877i | ||||
\(958\) | − | 9.63457i | − | 0.311279i | ||||||
\(959\) | −24.7044 | − | 17.9488i | −0.797748 | − | 0.579598i | ||||
\(960\) | 7.84821 | + | 4.23316i | 0.253300 | + | 0.136625i | ||||
\(961\) | 0.617389 | + | 1.90013i | 0.0199158 | + | 0.0612945i | ||||
\(962\) | 18.3240 | − | 13.3132i | 0.590791 | − | 0.429235i | ||||
\(963\) | 8.12987 | + | 6.93490i | 0.261981 | + | 0.223474i | ||||
\(964\) | −42.1174 | + | 13.6848i | −1.35651 | + | 0.440757i | ||||
\(965\) | −3.68924 | − | 2.59372i | −0.118761 | − | 0.0834949i | ||||
\(966\) | −2.91542 | + | 5.20962i | −0.0938021 | + | 0.167617i | ||||
\(967\) | 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 | \(-0.340721\pi\) |
−0.127581 | + | 0.991828i | \(0.540721\pi\) | |||||||
\(972\) | −21.2517 | − | 16.7004i | −0.681647 | − | 0.535665i | ||||
\(973\) | 0.124608 | + | 0.171508i | 0.00399474 | + | 0.00549828i | ||||
\(974\) | −2.99736 | + | 2.17771i | −0.0960415 | + | 0.0697782i | ||||
\(975\) | 7.27299 | − | 43.6926i | 0.232922 | − | 1.39928i | ||||
\(976\) | 17.5346 | + | 5.69734i | 0.561269 | + | 0.182367i | ||||
\(977\) | 35.8486 | + | 26.0455i | 1.14690 | + | 0.833271i | 0.988065 | − | 0.154034i | \(-0.0492267\pi\) |
0.158834 | + | 0.987305i | \(0.449227\pi\) | |||||||
\(978\) | 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 | ||||
\(981\) | −22.0023 | + | 53.2110i | −0.702479 | + | 1.69890i | ||||
\(982\) | −13.4040 | − | 4.35524i | −0.427740 | − | 0.138981i | ||||
\(983\) | −8.68438 | − | 26.7278i | −0.276989 | − | 0.852484i | −0.988686 | − | 0.149998i | \(-0.952073\pi\) |
0.711697 | − | 0.702486i | \(-0.247927\pi\) | |||||||
\(984\) | 6.28080 | + | 6.79033i | 0.200225 | + | 0.216468i | ||||
\(985\) | −26.0379 | + | 8.91010i | −0.829637 | + | 0.283899i | ||||
\(986\) | 3.43922 | + | 10.5848i | 0.109527 | + | 0.337090i | ||||
\(987\) | 3.03849 | − | 15.3002i | 0.0967161 | − | 0.487010i | ||||
\(988\) | −10.8334 | + | 14.9109i | −0.344656 | + | 0.474378i | ||||
\(989\) | 21.2699 | 0.676345 | ||||||||
\(990\) | 4.91830 | − | 10.3703i | 0.156314 | − | 0.329588i | ||||
\(991\) | −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 | ||||
\(993\) | −2.74313 | + | 13.8129i | −0.0870507 | + | 0.438340i | ||||
\(994\) | 0.636345 | + | 1.95847i | 0.0201836 | + | 0.0621188i | ||||
\(995\) | −1.61703 | − | 4.72543i | −0.0512633 | − | 0.149806i | ||||
\(996\) | 23.7232 | + | 25.6477i | 0.751698 | + | 0.812679i | ||||
\(997\) | −16.4190 | − | 50.5325i | −0.519995 | − | 1.60038i | −0.774005 | − | 0.633179i | \(-0.781750\pi\) |
0.254010 | − | 0.967202i | \(-0.418250\pi\) | |||||||
\(998\) | 2.18287 | + | 0.709257i | 0.0690975 | + | 0.0224511i | ||||
\(999\) | −12.0681 | + | 42.9422i | −0.381817 | + | 1.35863i |
(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.29.10 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.12 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.10 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.11 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.11 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.9 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.12 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.9 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.9 | ✓ | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.11 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.9 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.12 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.12 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.11 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.10 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.10 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.9 | ✓ | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.10 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.11 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.12 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.74.9 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.10 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.11 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.12 | yes | 80 | 55.19 | odd | 10 | inner | |
825.2.bi.h.326.9 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.10 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.11 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.12 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.701.9 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.10 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.11 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.12 | 80 | 55.52 | even | 20 |