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 | 29.9 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.9 |
$q$-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 | \(0.258383\pi\) | |||||||
\(3\) | −0.725625 | + | 1.57273i | −0.418940 | + | 0.908014i | ||||
\(4\) | 0.535797 | + | 1.64901i | 0.267898 | + | 0.824507i | ||||
\(5\) | −1.78836 | − | 1.34229i | −0.799781 | − | 0.600292i | ||||
\(6\) | −0.436352 | − | 0.779726i | −0.178140 | − | 0.318322i | ||||
\(7\) | 0.781546 | + | 2.40535i | 0.295396 | + | 0.909137i | 0.983088 | + | 0.183134i | \(0.0586242\pi\) |
−0.687692 | + | 0.726003i | \(0.741376\pi\) | |||||||
\(8\) | −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 | \(-0.550974\pi\) |
−0.988163 | + | 0.153411i | \(0.950974\pi\) | |||||||
\(14\) | −1.24086 | − | 0.403178i | −0.331633 | − | 0.107754i | ||||
\(15\) | 3.40874 | − | 1.83861i | 0.880134 | − | 0.474726i | ||||
\(16\) | −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 | \(0.651527\pi\) | |||||||
\(18\) | 1.54292 | − | 0.120473i | 0.363670 | − | 0.0283958i | ||||
\(19\) | 1.97662 | + | 0.642242i | 0.453467 | + | 0.147340i | 0.526840 | − | 0.849964i | \(-0.323377\pi\) |
−0.0733735 | + | 0.997305i | \(0.523377\pi\) | |||||||
\(20\) | 1.25526 | − | 3.66823i | 0.280685 | − | 0.820242i | ||||
\(21\) | −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 | \(0.411182\pi\) | |||||||
\(24\) | 2.26543 | − | 2.44921i | 0.462429 | − | 0.499943i | ||||
\(25\) | 1.39650 | + | 4.80102i | 0.279299 | + | 0.960204i | ||||
\(26\) | 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 | 0.967294 | + | 0.253658i | \(0.0816338\pi\) |
−0.633461 | + | 0.773775i | \(0.718366\pi\) | |||||||
\(30\) | −0.266265 | + | 1.98015i | −0.0486132 | + | 0.361524i | ||||
\(31\) | 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 | ||||||
\(33\) | −5.64713 | − | 1.05350i | −0.983040 | − | 0.183392i | ||||
\(34\) | −1.91308 | −0.328090 | ||||||||
\(35\) | 1.83100 | − | 5.35071i | 0.309495 | − | 0.904434i | ||||
\(36\) | 2.72058 | − | 4.43344i | 0.453429 | − | 0.738906i | ||||
\(37\) | 8.16423 | − | 2.65272i | 1.34219 | − | 0.436104i | 0.452133 | − | 0.891951i | \(-0.350663\pi\) |
0.890059 | + | 0.455846i | \(0.150663\pi\) | |||||||
\(38\) | −0.867394 | + | 0.630199i | −0.140710 | + | 0.102232i | ||||
\(39\) | 7.73056 | − | 4.32619i | 1.23788 | − | 0.692745i | ||||
\(40\) | 2.47719 | + | 3.52348i | 0.391677 | + | 0.557111i | ||||
\(41\) | 0.856736 | − | 2.63676i | 0.133800 | − | 0.411793i | −0.861602 | − | 0.507585i | \(-0.830538\pi\) |
0.995401 | + | 0.0957919i | \(0.0305383\pi\) | |||||||
\(42\) | 1.53449 | − | 1.65897i | 0.236776 | − | 0.255985i | ||||
\(43\) | −8.05145 | −1.22783 | −0.613917 | − | 0.789370i | \(-0.710407\pi\) | ||||
−0.613917 | + | 0.789370i | \(0.710407\pi\) | |||||||
\(44\) | −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 | \(0.0163739\pi\) | |||||||
\(48\) | −0.834708 | − | 4.20314i | −0.120480 | − | 0.606671i | ||||
\(49\) | 0.488224 | − | 0.354715i | 0.0697462 | − | 0.0506736i | ||||
\(50\) | −2.42716 | − | 0.872951i | −0.343252 | − | 0.123454i | ||||
\(51\) | −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 | \(-0.159002\pi\) |
−0.184299 | + | 0.982870i | \(0.559002\pi\) | |||||||
\(54\) | −0.930112 | + | 2.51401i | −0.126572 | + | 0.342114i | ||||
\(55\) | 2.86082 | − | 6.84220i | 0.385753 | − | 0.922602i | ||||
\(56\) | − | 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 | −0.556875 | − | 0.830597i | \(-0.688000\pi\) |
0.0376915 | + | 0.999289i | \(0.488000\pi\) | |||||||
\(60\) | 4.85828 | + | 4.63594i | 0.627201 | + | 0.598497i | ||||
\(61\) | −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 | ||||
\(63\) | 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 | ||||
\(70\) | 1.67792 | + | 2.38662i | 0.200550 | + | 0.285256i | ||||
\(71\) | −0.927714 | − | 1.27689i | −0.110099 | − | 0.151539i | 0.750411 | − | 0.660971i | \(-0.229855\pi\) |
−0.860511 | + | 0.509432i | \(0.829855\pi\) | |||||||
\(72\) | 2.20809 | + | 5.34011i | 0.260226 | + | 0.629338i | ||||
\(73\) | 2.17457 | + | 6.69263i | 0.254514 | + | 0.783313i | 0.993925 | + | 0.110059i | \(0.0351039\pi\) |
−0.739411 | + | 0.673254i | \(0.764896\pi\) | |||||||
\(74\) | −1.36847 | + | 4.21171i | −0.159081 | + | 0.489601i | ||||
\(75\) | −8.56402 | − | 1.28744i | −0.988888 | − | 0.148660i | ||||
\(76\) | 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 | \(0.223172\pi\) | |||||||
\(80\) | 5.53152 | + | 0.0860088i | 0.618443 | + | 0.00961608i | ||||
\(81\) | −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 | −0.997941 | − | 0.0641418i | \(-0.979569\pi\) |
0.247378 | − | 0.968919i | \(-0.420431\pi\) | |||||||
\(84\) | −1.47949 | − | 7.44991i | −0.161426 | − | 0.812852i | ||||
\(85\) | 0.128920 | − | 8.29128i | 0.0139833 | − | 0.899316i | ||||
\(86\) | 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 | \(-0.894302\pi\) | ||
0.945373 | − | 0.325992i | \(-0.105698\pi\) | |||||||
\(90\) | −2.92102 | − | 1.85561i | −0.307903 | − | 0.195598i | ||||
\(91\) | 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 | ||||
\(95\) | −2.67283 | − | 3.80176i | −0.274227 | − | 0.390053i | ||||
\(96\) | 8.06607 | + | 3.72153i | 0.823240 | + | 0.379827i | ||||
\(97\) | −1.61795 | + | 2.22691i | −0.164278 | + | 0.226109i | −0.883218 | − | 0.468963i | \(-0.844628\pi\) |
0.718940 | + | 0.695072i | \(0.244628\pi\) | |||||||
\(98\) | 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 | 0.242784 | − | 0.970080i | \(-0.421940\pi\) |
−0.847577 | + | 0.530672i | \(0.821940\pi\) | |||||||
\(102\) | 1.38818 | − | 3.00874i | 0.137450 | − | 0.297910i | ||||
\(103\) | 13.8164 | − | 4.48920i | 1.36137 | − | 0.442334i | 0.464867 | − | 0.885381i | \(-0.346102\pi\) |
0.896499 | + | 0.443046i | \(0.146102\pi\) | |||||||
\(104\) | 5.79073 | + | 7.97026i | 0.567828 | + | 0.781548i | ||||
\(105\) | 7.08658 | + | 6.76226i | 0.691579 | + | 0.659929i | ||||
\(106\) | −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 | \(0.655079\pi\) | |||||||
\(108\) | 4.99847 | + | 7.49573i | 0.480978 | + | 0.721277i | ||||
\(109\) | − | 19.1935i | − | 1.83840i | −0.393787 | − | 0.919202i | \(-0.628835\pi\) | ||
0.393787 | − | 0.919202i | \(-0.371165\pi\) | |||||||
\(110\) | 1.98813 | + | 3.26867i | 0.189560 | + | 0.311656i | ||||
\(111\) | −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 | \(0.961707\pi\) | |||||||
\(114\) | −0.361727 | − | 1.82146i | −0.0338789 | − | 0.170596i | ||||
\(115\) | −4.72442 | − | 3.54601i | −0.440554 | − | 0.330667i | ||||
\(116\) | −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 | ||||
\(120\) | −7.33897 | + | 1.33921i | −0.669954 | + | 0.122253i | ||||
\(121\) | −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 | ||||
\(125\) | 3.94694 | − | 10.4605i | 0.353025 | − | 0.935614i | ||||
\(126\) | 1.49565 | + | 3.61712i | 0.133243 | + | 0.322238i | ||||
\(127\) | 1.08484 | − | 0.788183i | 0.0962640 | − | 0.0699399i | −0.538612 | − | 0.842554i | \(-0.681051\pi\) |
0.634876 | + | 0.772614i | \(0.281051\pi\) | |||||||
\(128\) | 10.8850 | − | 3.53675i | 0.962108 | − | 0.312608i | ||||
\(129\) | 5.84233 | − | 12.6627i | 0.514389 | − | 1.11489i | ||||
\(130\) | −5.58205 | − | 1.91016i | −0.489579 | − | 0.167532i | ||||
\(131\) | 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 | ||||
\(135\) | −10.8331 | − | 4.20053i | −0.932363 | − | 0.361524i | ||||
\(136\) | −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 | \(0.127506\pi\) | |||||||
\(138\) | −1.15273 | − | 2.05984i | −0.0981272 | − | 0.175346i | ||||
\(139\) | −0.0797187 | + | 0.0259022i | −0.00676165 | + | 0.00219699i | −0.312396 | − | 0.949952i | \(-0.601132\pi\) |
0.305634 | + | 0.952149i | \(0.401132\pi\) | |||||||
\(140\) | 9.80443 | + | 0.152448i | 0.828625 | + | 0.0128842i | ||||
\(141\) | 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 | ||||
\(145\) | 4.21174 | − | 12.3079i | 0.349766 | − | 1.02212i | ||||
\(146\) | −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 | −0.972022 | − | 0.234890i | \(-0.924527\pi\) |
−0.0769772 | + | 0.997033i | \(0.524527\pi\) | |||||||
\(150\) | 3.13412 | − | 3.18382i | 0.255900 | − | 0.259958i | ||||
\(151\) | 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 | ||||
\(156\) | 11.2760 | + | 10.4298i | 0.902799 | + | 0.835055i | ||||
\(157\) | −4.62394 | − | 1.50241i | −0.369030 | − | 0.119905i | 0.118630 | − | 0.992938i | \(-0.462150\pi\) |
−0.487661 | + | 0.873033i | \(0.662150\pi\) | |||||||
\(158\) | −0.206113 | − | 0.634350i | −0.0163975 | − | 0.0504662i | ||||
\(159\) | −9.43267 | + | 5.27873i | −0.748060 | + | 0.418631i | ||||
\(160\) | −6.88425 | + | 9.17202i | −0.544247 | + | 0.725112i | ||||
\(161\) | 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 | \(-0.611254\pi\) |
0.999375 | + | 0.0353479i | \(0.0112539\pi\) | |||||||
\(164\) | 4.80709 | 0.375371 | ||||||||
\(165\) | 8.68502 | + | 9.46416i | 0.676128 | + | 0.736784i | ||||
\(166\) | 6.00137 | 0.465796 | ||||||||
\(167\) | 7.50419 | − | 10.3286i | 0.580692 | − | 0.799254i | −0.413079 | − | 0.910695i | \(-0.635547\pi\) |
0.993771 | + | 0.111441i | \(0.0355467\pi\) | |||||||
\(168\) | 7.66175 | + | 3.53498i | 0.591117 | + | 0.272730i | ||||
\(169\) | 4.06641 | + | 12.5151i | 0.312800 | + | 0.962701i | ||||
\(170\) | 3.42128 | + | 2.56791i | 0.262400 | + | 0.196950i | ||||
\(171\) | −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 | \(-0.455195\pi\) |
−0.468470 | + | 0.883479i | \(0.655195\pi\) | |||||||
\(174\) | 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 | 0.668488 | − | 0.743723i | \(-0.266942\pi\) |
0.103669 | + | 0.994612i | \(0.466942\pi\) | |||||||
\(180\) | −10.8164 | + | 4.27679i | −0.806204 | + | 0.318773i | ||||
\(181\) | 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 | ||||
\(183\) | 12.6601 | − | 2.51420i | 0.935864 | − | 0.185855i | ||||
\(184\) | −4.83951 | − | 1.57245i | −0.356773 | − | 0.115923i | ||||
\(185\) | −18.1613 | − | 6.21477i | −1.33525 | − | 0.456919i | ||||
\(186\) | 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 | ||||
\(190\) | 2.39713 | + | 0.0372726i | 0.173906 | + | 0.00270404i | ||||
\(191\) | 1.03400 | − | 0.335966i | 0.0748173 | − | 0.0243096i | −0.271369 | − | 0.962475i | \(-0.587476\pi\) |
0.346187 | + | 0.938166i | \(0.387476\pi\) | |||||||
\(192\) | 3.47997 | − | 1.94747i | 0.251145 | − | 0.140546i | ||||
\(193\) | 1.63164 | − | 1.18546i | 0.117448 | − | 0.0853312i | −0.527511 | − | 0.849548i | \(-0.676874\pi\) |
0.644959 | + | 0.764217i | \(0.276874\pi\) | |||||||
\(194\) | −0.438804 | − | 1.35050i | −0.0315043 | − | 0.0969603i | ||||
\(195\) | −19.6321 | − | 2.63988i | −1.40588 | − | 0.189045i | ||||
\(196\) | 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 | \(0.525226\pi\) | |||||||
\(200\) | 0.299430 | − | 9.62637i | 0.0211729 | − | 0.680687i | ||||
\(201\) | −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 | ||||
\(205\) | −5.07147 | + | 3.56550i | −0.354207 | + | 0.249025i | ||||
\(206\) | −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 | ||||
\(210\) | −4.97104 | + | 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 | ||||
\(213\) | 2.68137 | − | 0.532498i | 0.183724 | − | 0.0364861i | ||||
\(214\) | 1.48658 | − | 1.08006i | 0.101621 | − | 0.0738317i | ||||
\(215\) | 14.3989 | + | 10.8074i | 0.981999 | + | 0.737059i | ||||
\(216\) | −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 | ||||
\(220\) | 12.8157 | + | 1.05151i | 0.864034 | + | 0.0708926i | ||||
\(221\) | − | 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 | \(-0.249062\pi\) |
0.159344 | + | 0.987223i | \(0.449062\pi\) | |||||||
\(224\) | 12.3364 | − | 4.00833i | 0.824258 | − | 0.267818i | ||||
\(225\) | 8.23905 | − | 12.5347i | 0.549270 | − | 0.835645i | ||||
\(226\) | −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 | \(0.572175\pi\) | |||||||
\(228\) | −5.66744 | − | 2.61485i | −0.375335 | − | 0.173172i | ||||
\(229\) | −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 | ||||
\(231\) | −1.87945 | − | 14.4067i | −0.123658 | − | 0.947891i | ||||
\(232\) | − | 11.2060i | − | 0.735707i | ||||||
\(233\) | −16.5952 | + | 22.8414i | −1.08719 | + | 1.49639i | −0.235836 | + | 0.971793i | \(0.575783\pi\) |
−0.851353 | + | 0.524594i | \(0.824217\pi\) | |||||||
\(234\) | −6.74649 | − | 4.13998i | −0.441032 | − | 0.270639i | ||||
\(235\) | −6.51376 | + | 4.57951i | −0.424911 | + | 0.298734i | ||||
\(236\) | −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 | 0.503367 | + | 0.864073i | \(0.332094\pi\) |
−0.915122 | + | 0.403178i | \(0.867906\pi\) | |||||||
\(240\) | −4.14908 | + | 8.63716i | −0.267822 | + | 0.557527i | ||||
\(241\) | 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 | ||||
\(245\) | −1.34925 | − | 0.0209793i | −0.0862007 | − | 0.00134032i | ||||
\(246\) | −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 | ||||
\(250\) | 3.16888 | + | 4.81911i | 0.200418 | + | 0.304787i | ||||
\(251\) | 1.10276 | − | 1.51782i | 0.0696058 | − | 0.0958042i | −0.772795 | − | 0.634656i | \(-0.781142\pi\) |
0.842401 | + | 0.538852i | \(0.181142\pi\) | |||||||
\(252\) | 12.7902 | + | 3.07901i | 0.805708 | + | 0.193959i | ||||
\(253\) | 2.14935 | + | 8.49398i | 0.135129 | + | 0.534012i | ||||
\(254\) | 0.691753i | 0.0434045i | ||||||||
\(255\) | 12.9464 | + | 6.21912i | 0.810733 | + | 0.389456i | ||||
\(256\) | −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 | \(0.852852\pi\) | |||||||
\(258\) | 3.51326 | + | 6.27792i | 0.218726 | + | 0.390846i | ||||
\(259\) | 12.7614 | + | 17.5646i | 0.792957 | + | 1.09141i | ||||
\(260\) | −16.2218 | + | 11.4047i | −1.00603 | + | 0.707292i | ||||
\(261\) | 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 | −0.992203 | − | 0.124633i | \(-0.960225\pi\) |
0.188075 | − | 0.982155i | \(-0.439775\pi\) | |||||||
\(270\) | 5.03793 | − | 3.24749i | 0.306598 | − | 0.197636i | ||||
\(271\) | 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 | ||||
\(273\) | 16.4478 | + | 15.2136i | 0.995466 | + | 0.920768i | ||||
\(274\) | 6.22857i | 0.376281i | ||||||||
\(275\) | −14.3004 | + | 8.39628i | −0.862349 | + | 0.506315i | ||||
\(276\) | −7.87833 | − | 0.934925i | −0.474220 | − | 0.0562759i | ||||
\(277\) | 4.94006 | + | 3.58916i | 0.296819 | + | 0.215652i | 0.726220 | − | 0.687462i | \(-0.241275\pi\) |
−0.429401 | + | 0.903114i | \(0.641275\pi\) | |||||||
\(278\) | 0.0133622 | − | 0.0411247i | 0.000801414 | − | 0.00246650i | ||||
\(279\) | −1.34150 | − | 17.1808i | −0.0803135 | − | 1.02859i | ||||
\(280\) | −6.53916 | + | 8.71226i | −0.390790 | + | 0.520657i | ||||
\(281\) | 8.23840 | − | 5.98555i | 0.491462 | − | 0.357068i | −0.314284 | − | 0.949329i | \(-0.601765\pi\) |
0.805746 | + | 0.592261i | \(0.201765\pi\) | |||||||
\(282\) | −3.12081 | + | 0.619767i | −0.185841 | + | 0.0369066i | ||||
\(283\) | −4.23598 | + | 13.0370i | −0.251803 | + | 0.774970i | 0.742640 | + | 0.669691i | \(0.233573\pi\) |
−0.994443 | + | 0.105279i | \(0.966427\pi\) | |||||||
\(284\) | 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 | ||||||||
\(288\) | −11.7059 | + | 9.98529i | −0.689776 | + | 0.588389i | ||||
\(289\) | 1.00357 | − | 3.08866i | 0.0590333 | − | 0.181686i | ||||
\(290\) | 3.85962 | + | 5.48982i | 0.226645 | + | 0.322373i | ||||
\(291\) | −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 | \(-0.253391\pi\) |
0.985966 | + | 0.166946i | \(0.0533907\pi\) | |||||||
\(294\) | −0.489618 | − | 0.225900i | −0.0285551 | − | 0.0131748i | ||||
\(295\) | 8.87114 | + | 3.03568i | 0.516498 | + | 0.176744i | ||||
\(296\) | −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 | ||||
\(300\) | −2.46558 | − | 14.8120i | −0.142350 | − | 0.855171i | ||||
\(301\) | −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 | ||||
\(305\) | −0.259065 | + | 16.6613i | −0.0148340 | + | 0.954025i | ||||
\(306\) | 3.72464 | + | 4.36644i | 0.212923 | + | 0.249613i | ||||
\(307\) | 6.93259 | 0.395664 | 0.197832 | − | 0.980236i | \(-0.436610\pi\) | ||||
0.197832 | + | 0.980236i | \(0.436610\pi\) | |||||||
\(308\) | −11.1740 | − | 9.30975i | −0.636699 | − | 0.530472i | ||||
\(309\) | −2.96520 | + | 24.9868i | −0.168684 | + | 1.42145i | ||||
\(310\) | 6.26939 | + | 2.14537i | 0.356077 | + | 0.121849i | ||||
\(311\) | 29.5560 | + | 9.60334i | 1.67597 | + | 0.544555i | 0.984123 | − | 0.177490i | \(-0.0567977\pi\) |
0.691846 | + | 0.722045i | \(0.256798\pi\) | |||||||
\(312\) | −16.7369 | + | 3.32382i | −0.947542 | + | 0.188174i | ||||
\(313\) | −16.4517 | − | 22.6438i | −0.929905 | − | 1.27990i | −0.959897 | − | 0.280354i | \(-0.909548\pi\) |
0.0299919 | − | 0.999550i | \(-0.490452\pi\) | |||||||
\(314\) | 2.02911 | − | 1.47424i | 0.114509 | − | 0.0831960i | ||||
\(315\) | −15.7774 | + | 6.23838i | −0.888955 | + | 0.351493i | ||||
\(316\) | −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 | ||||
\(321\) | 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 | ||||
\(325\) | 8.65483 | − | 24.0639i | 0.480084 | − | 1.33483i | ||||
\(326\) | 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 | ||||||||
\(330\) | −6.58337 | + | 0.754947i | −0.362402 | + | 0.0415585i | ||||
\(331\) | 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 | ||||
\(335\) | 15.0397 | − | 20.0376i | 0.821704 | − | 1.09477i | ||||
\(336\) | 9.45765 | − | 5.29271i | 0.515957 | − | 0.288741i | ||||
\(337\) | −0.604185 | − | 1.85949i | −0.0329121 | − | 0.101293i | 0.933251 | − | 0.359225i | \(-0.116959\pi\) |
−0.966163 | + | 0.257932i | \(0.916959\pi\) | |||||||
\(338\) | −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 | ||||
\(345\) | 9.00506 | − | 4.85714i | 0.484816 | − | 0.261500i | ||||
\(346\) | 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 | \(0.931952\pi\) | |||||||
\(348\) | −3.40319 | − | 17.1366i | −0.182430 | − | 0.918619i | ||||
\(349\) | −3.13156 | − | 1.01751i | −0.167628 | − | 0.0544658i | 0.224000 | − | 0.974589i | \(-0.428088\pi\) |
−0.391629 | + | 0.920123i | \(0.628088\pi\) | |||||||
\(350\) | 0.202819 | − | 6.52041i | 0.0108411 | − | 0.348531i | ||||
\(351\) | −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 | \(0.481156\pi\) | |||||||
\(354\) | 2.75047 | + | 2.54408i | 0.146186 | + | 0.135216i | ||||
\(355\) | −0.0548689 | + | 3.52881i | −0.00291214 | + | 0.187290i | ||||
\(356\) | 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 | −0.994764 | − | 0.102200i | \(-0.967412\pi\) |
0.744709 | − | 0.667389i | \(-0.232588\pi\) | |||||||
\(360\) | 3.21913 | − | 12.5140i | 0.169663 | − | 0.659544i | ||||
\(361\) | −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 | ||||||||
\(365\) | 5.09455 | − | 14.8878i | 0.266661 | − | 0.779261i | ||||
\(366\) | −2.78954 | + | 6.04607i | −0.145812 | + | 0.316033i | ||||
\(367\) | −20.7145 | + | 6.73055i | −1.08129 | + | 0.351332i | −0.794874 | − | 0.606774i | \(-0.792463\pi\) |
−0.286414 | + | 0.958106i | \(0.592463\pi\) | |||||||
\(368\) | −5.28764 | + | 3.84170i | −0.275638 | + | 0.200262i | ||||
\(369\) | −7.68621 | + | 3.17818i | −0.400128 | + | 0.165449i | ||||
\(370\) | 8.10067 | − | 5.69518i | 0.421134 | − | 0.296079i | ||||
\(371\) | −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 | \(-0.608941\pi\) | ||||
−0.335606 | + | 0.942003i | \(0.608941\pi\) | |||||||
\(374\) | −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 | ||||
\(378\) | −6.77401 | − | 0.272429i | −0.348417 | − | 0.0140122i | ||||
\(379\) | 14.7670 | − | 10.7289i | 0.758530 | − | 0.551104i | −0.139929 | − | 0.990162i | \(-0.544687\pi\) |
0.898459 | + | 0.439057i | \(0.144687\pi\) | |||||||
\(380\) | 4.83706 | − | 6.44451i | 0.248136 | − | 0.330596i | ||||
\(381\) | 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 | 0.987607 | + | 0.156945i | \(0.0501645\pi\) |
0.454451 | + | 0.890772i | \(0.349836\pi\) | |||||||
\(384\) | −2.33609 | + | 19.6855i | −0.119213 | + | 1.00457i | ||||
\(385\) | 18.6937 | + | 1.53379i | 0.952722 | + | 0.0781692i | ||||
\(386\) | 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 | −0.173054 | − | 0.984912i | \(-0.555364\pi\) |
0.438913 | + | 0.898529i | \(0.355364\pi\) | |||||||
\(390\) | 7.05464 | − | 7.39298i | 0.357226 | − | 0.374358i | ||||
\(391\) | 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 | ||||
\(400\) | −9.77693 | − | 7.57875i | −0.488847 | − | 0.378937i | ||||
\(401\) | 13.4903 | + | 18.5679i | 0.673676 | + | 0.927235i | 0.999837 | − | 0.0180793i | \(-0.00575515\pi\) |
−0.326161 | + | 0.945314i | \(0.605755\pi\) | |||||||
\(402\) | 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 | ||||
\(405\) | 14.4670 | − | 13.9895i | 0.718873 | − | 0.695142i | ||||
\(406\) | − | 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 | \(0.348885\pi\) | |||||||
\(410\) | 0.0497208 | − | 3.19772i | 0.00245554 | − | 0.157924i | ||||
\(411\) | 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 | ||||
\(415\) | −0.404425 | + | 26.0100i | −0.0198524 | + | 1.27678i | ||||
\(416\) | −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 | \(-0.868330\pi\) | ||
0.915658 | − | 0.401958i | \(-0.131670\pi\) | |||||||
\(420\) | −7.35410 | + | 15.3091i | −0.358843 | + | 0.747006i | ||||
\(421\) | −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 | ||||
\(423\) | −9.87212 | + | 4.08203i | −0.479999 | + | 0.198475i | ||||
\(424\) | −7.06573 | − | 9.72514i | −0.343142 | − | 0.472295i | ||||
\(425\) | −11.3599 | + | 14.6548i | −0.551036 | + | 0.710861i | ||||
\(426\) | −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 | 0.555960 | − | 0.831209i | \(-0.312351\pi\) |
−0.618726 | + | 0.785607i | \(0.712351\pi\) | |||||||
\(432\) | −7.96820 | + | 10.0884i | −0.383370 | + | 0.485378i | ||||
\(433\) | −32.5345 | + | 10.5711i | −1.56351 | + | 0.508014i | −0.957742 | − | 0.287629i | \(-0.907133\pi\) |
−0.605765 | + | 0.795643i | \(0.707133\pi\) | |||||||
\(434\) | −4.40531 | − | 6.06339i | −0.211462 | − | 0.291052i | ||||
\(435\) | 16.3009 | + | 15.5549i | 0.781567 | + | 0.745799i | ||||
\(436\) | 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 | \(-0.702045\pi\) | ||
0.592971 | − | 0.805224i | \(-0.297955\pi\) | |||||||
\(440\) | −9.31351 | + | 10.8316i | −0.444004 | + | 0.516376i | ||||
\(441\) | −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 | \(0.826840\pi\) | |||||||
\(444\) | −25.2865 | + | 5.02168i | −1.20004 | + | 0.238318i | ||||
\(445\) | −8.25619 | + | 10.9999i | −0.391381 | + | 0.521444i | ||||
\(446\) | −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 | −0.443981 | − | 0.896036i | \(-0.646434\pi\) |
0.989379 | + | 0.145361i | \(0.0464343\pi\) | |||||||
\(450\) | 2.73308 | + | 7.23937i | 0.128839 | + | 0.341267i | ||||
\(451\) | 9.17499 | + | 0.609355i | 0.432033 | + | 0.0286934i | ||||
\(452\) | −15.5163 | −0.729825 | ||||||||
\(453\) | −9.11089 | + | 9.85001i | −0.428067 | + | 0.462794i | ||||
\(454\) | 2.47343 | − | 7.61243i | 0.116084 | − | 0.357269i | ||||
\(455\) | −23.6621 | + | 16.6357i | −1.10929 | + | 0.779891i | ||||
\(456\) | 6.05087 | − | 3.38620i | 0.283358 | − | 0.158573i | ||||
\(457\) | 33.4096 | − | 24.2735i | 1.56284 | − | 1.13547i | 0.629198 | − | 0.777245i | \(-0.283383\pi\) |
0.933637 | − | 0.358221i | \(-0.116617\pi\) | |||||||
\(458\) | 1.35744 | − | 0.441057i | 0.0634288 | − | 0.0206093i | ||||
\(459\) | 15.1216 | + | 11.9436i | 0.705818 | + | 0.557481i | ||||
\(460\) | 3.31609 | − | 9.69057i | 0.154613 | − | 0.451825i | ||||
\(461\) | 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 | ||||
\(465\) | 22.0494 | + | 2.96493i | 1.02252 | + | 0.137495i | ||||
\(466\) | −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 | \(0.539397\pi\) | |||||||
\(468\) | −24.5854 | + | 10.1658i | −1.13646 | + | 0.469916i | ||||
\(469\) | −26.9506 | + | 8.75679i | −1.24446 | + | 0.404351i | ||||
\(470\) | 0.0638611 | − | 4.10713i | 0.00294569 | − | 0.189448i | ||||
\(471\) | 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 | ||||
\(475\) | −0.323079 | + | 10.3867i | −0.0148239 | + | 0.476573i | ||||
\(476\) | −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 | −0.186415 | − | 0.982471i | \(-0.559687\pi\) |
0.876780 | + | 0.480891i | \(0.159687\pi\) | |||||||
\(480\) | −9.42970 | − | 17.4825i | −0.430405 | − | 0.797963i | ||||
\(481\) | −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 | \(-0.452027\pi\) |
−0.459655 | + | 0.888097i | \(0.652027\pi\) | |||||||
\(488\) | 4.43570 | + | 13.6517i | 0.200795 | + | 0.617983i | ||||
\(489\) | 12.0695 | + | 21.5673i | 0.545803 | + | 0.975306i | ||||
\(490\) | 0.417880 | − | 0.556750i | 0.0188779 | − | 0.0251514i | ||||
\(491\) | −8.44246 | − | 25.9832i | −0.381003 | − | 1.17261i | −0.939339 | − | 0.342991i | \(-0.888560\pi\) |
0.558336 | − | 0.829615i | \(-0.311440\pi\) | |||||||
\(492\) | −3.48815 | + | 7.56024i | −0.157258 | + | 0.340842i | ||||
\(493\) | −12.6810 | + | 17.4539i | −0.571124 | + | 0.786085i | ||||
\(494\) | 5.48367 | 0.246722 | ||||||||
\(495\) | −21.1866 | + | 6.79173i | −0.952267 | + | 0.305266i | ||||
\(496\) | −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 | 0.915555 | − | 0.402193i | \(-0.131752\pi\) |
−0.977103 | + | 0.212769i | \(0.931752\pi\) | |||||||
\(500\) | 19.3642 | + | 0.903857i | 0.865995 | + | 0.0404217i | ||||
\(501\) | 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 | \(-0.532782\pi\) |
−0.667842 | + | 0.744303i | \(0.732782\pi\) | |||||||
\(504\) | −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 | 0.0118265 | − | 0.999930i | \(-0.496235\pi\) |
−0.578176 | + | 0.815912i | \(0.696235\pi\) | |||||||
\(510\) | −6.52118 | + | 3.51739i | −0.288763 | + | 0.155753i | ||||
\(511\) | −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 | ||||
\(515\) | −30.7345 | − | 10.5173i | −1.35432 | − | 0.463446i | ||||
\(516\) | 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 | ||||
\(520\) | 0.342488 | − | 22.0266i | 0.0150191 | − | 0.965930i | ||||
\(521\) | −14.9131 | + | 4.84555i | −0.653353 | + | 0.212287i | −0.616892 | − | 0.787048i | \(-0.711609\pi\) |
−0.0364612 | + | 0.999335i | \(0.511609\pi\) | |||||||
\(522\) | 3.44035 | + | 8.32025i | 0.150580 | + | 0.364168i | ||||
\(523\) | 7.55250 | − | 5.48721i | 0.330248 | − | 0.239939i | −0.410288 | − | 0.911956i | \(-0.634572\pi\) |
0.740536 | + | 0.672017i | \(0.234572\pi\) | |||||||
\(524\) | 9.75156 | + | 30.0122i | 0.425999 | + | 1.31109i | ||||
\(525\) | −3.59644 | − | 21.6057i | −0.156962 | − | 0.942949i | ||||
\(526\) | 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 | ||||||||
\(530\) | 6.81111 | + | 2.33074i | 0.295856 | + | 0.101241i | ||||
\(531\) | 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 | ||||
\(535\) | 4.58083 | + | 6.51564i | 0.198047 | + | 0.281696i | ||||
\(536\) | 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 | ||||
\(540\) | 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 | ||||
\(543\) | 3.09311 | + | 15.5752i | 0.132738 | + | 0.668397i | ||||
\(544\) | 15.3871 | − | 11.1794i | 0.659715 | − | 0.479311i | ||||
\(545\) | −25.7633 | + | 34.3250i | −1.10358 | + | 1.47032i | ||||
\(546\) | −11.3367 | + | 2.25138i | −0.485167 | + | 0.0963503i | ||||
\(547\) | −2.56807 | + | 7.90369i | −0.109803 | + | 0.337937i | −0.990828 | − | 0.135132i | \(-0.956854\pi\) |
0.881025 | + | 0.473070i | \(0.156854\pi\) | |||||||
\(548\) | 16.9364 | + | 12.3050i | 0.723486 | + | 0.525644i | ||||
\(549\) | −5.23237 | + | 21.7353i | −0.223312 | + | 0.927640i | ||||
\(550\) | 0.832027 | − | 8.51423i | 0.0354777 | − | 0.363048i | ||||
\(551\) | 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 | ||||
\(555\) | 22.9525 | − | 24.0532i | 0.974277 | − | 1.02100i | ||||
\(556\) | −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 | \(0.385384\pi\) | |||||||
\(558\) | 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 | \(-0.864280\pi\) |
0.674683 | + | 0.738108i | \(0.264280\pi\) | |||||||
\(564\) | −4.48015 | + | 9.71033i | −0.188649 | + | 0.408879i | ||||
\(565\) | 16.3696 | − | 11.5087i | 0.688676 | − | 0.484175i | ||||
\(566\) | −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 | −0.472303 | − | 0.881436i | \(-0.656577\pi\) |
0.900196 | − | 0.435484i | \(-0.143423\pi\) | |||||||
\(570\) | −1.79804 | + | 3.74298i | −0.0753115 | + | 0.156776i | ||||
\(571\) | − | 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 | ||||
\(575\) | 3.68920 | + | 12.6831i | 0.153850 | + | 0.528922i | ||||
\(576\) | 0.537680 | + | 6.88617i | 0.0224033 | + | 0.286924i | ||||
\(577\) | −13.2674 | − | 18.2610i | −0.552330 | − | 0.760217i | 0.437996 | − | 0.898977i | \(-0.355688\pi\) |
−0.990326 | + | 0.138760i | \(0.955688\pi\) | |||||||
\(578\) | 0.984748 | + | 1.35539i | 0.0409601 | + | 0.0563768i | ||||
\(579\) | 0.680441 | + | 3.42633i | 0.0282782 | + | 0.142393i | ||||
\(580\) | 22.5526 | + | 0.350667i | 0.936445 | + | 0.0145606i | ||||
\(581\) | 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 | ||||||
\(585\) | 18.3973 | − | 28.9603i | 0.760636 | − | 1.19736i | ||||
\(586\) | −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 | \(-0.201008\pi\) | |||||||
\(588\) | −1.58153 | + | 0.885060i | −0.0652213 | + | 0.0364993i | ||||
\(589\) | 7.01743 | + | 9.65866i | 0.289148 | + | 0.397978i | ||||
\(590\) | −3.95687 | + | 2.78188i | −0.162902 | + | 0.114528i | ||||
\(591\) | −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 | 0.943617 | + | 0.331038i | \(0.107399\pi\) |
0.0232423 | + | 0.999730i | \(0.492601\pi\) | |||||||
\(600\) | 14.9224 | + | 7.45606i | 0.609203 | + | 0.304392i | ||||
\(601\) | 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 | ||||
\(603\) | 25.5732 | − | 21.8143i | 1.04142 | − | 0.888349i | ||||
\(604\) | 13.4317i | 0.546528i | ||||||||
\(605\) | 24.3272 | + | 3.63148i | 0.989041 | + | 0.147641i | ||||
\(606\) | −0.791079 | + | 6.66618i | −0.0321354 | + | 0.270795i | ||||
\(607\) | −8.56016 | − | 6.21932i | −0.347446 | − | 0.252434i | 0.400351 | − | 0.916362i | \(-0.368888\pi\) |
−0.747797 | + | 0.663928i | \(0.768888\pi\) | |||||||
\(608\) | 3.29388 | − | 10.1375i | 0.133584 | − | 0.411130i | ||||
\(609\) | −4.96410 | − | 24.9965i | −0.201155 | − | 1.01291i | ||||
\(610\) | −6.87506 | − | 5.16021i | −0.278363 | − | 0.208931i | ||||
\(611\) | −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 | \(-0.804476\pi\) |
0.999901 | + | 0.0140608i | \(0.00447583\pi\) | |||||||
\(614\) | −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 | \(0.441885\pi\) | |||||||
\(618\) | −9.52914 | − | 8.81410i | −0.383318 | − | 0.354555i | ||||
\(619\) | 2.03021 | − | 6.24834i | 0.0816009 | − | 0.251142i | −0.901930 | − | 0.431883i | \(-0.857849\pi\) |
0.983531 | + | 0.180741i | \(0.0578495\pi\) | |||||||
\(620\) | 18.2192 | − | 12.8090i | 0.731702 | − | 0.514424i | ||||
\(621\) | 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 | ||||
\(625\) | −21.0996 | + | 13.4092i | −0.843984 | + | 0.536368i | ||||
\(626\) | 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 | ||||
\(630\) | 2.18047 | − | 8.47632i | 0.0868721 | − | 0.337704i | ||||
\(631\) | 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 | ||||
\(633\) | −10.5703 | − | 18.8883i | −0.420133 | − | 0.750744i | ||||
\(634\) | 0.487550 | − | 0.158415i | 0.0193631 | − | 0.00629145i | ||||
\(635\) | −2.99806 | − | 0.0466164i | −0.118975 | − | 0.00184992i | ||||
\(636\) | −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 | ||||
\(640\) | −24.2137 | − | 8.28587i | −0.957131 | − | 0.327528i | ||||
\(641\) | −16.0126 | − | 5.20282i | −0.632461 | − | 0.205499i | −0.0247960 | − | 0.999693i | \(-0.507894\pi\) |
−0.607665 | + | 0.794194i | \(0.707894\pi\) | |||||||
\(642\) | 0.619946 | + | 3.12171i | 0.0244673 | + | 0.123204i | ||||
\(643\) | 17.4791 | + | 24.0580i | 0.689310 | + | 0.948754i | 0.999998 | − | 0.00175788i | \(-0.000559551\pi\) |
−0.310688 | + | 0.950512i | \(0.600560\pi\) | |||||||
\(644\) | −9.37216 | + | 6.80927i | −0.369315 | + | 0.268323i | ||||
\(645\) | −27.4453 | + | 14.8034i | −1.08066 | + | 0.582885i | ||||
\(646\) | −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 | ||||
\(651\) | −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 | −0.936943 | − | 0.349483i | \(-0.886357\pi\) |
0.552582 | − | 0.833459i | \(-0.313643\pi\) | |||||||
\(654\) | −14.9657 | + | 8.37511i | −0.585204 | + | 0.327493i | ||||
\(655\) | −32.5484 | − | 24.4299i | −1.27177 | − | 0.954554i | ||||
\(656\) | 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 | \(0.435023\pi\) | |||||||
\(660\) | −10.9531 | + | 19.3926i | −0.426350 | + | 0.754855i | ||||
\(661\) | 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 | ||||
\(665\) | 7.05563 | − | 9.40035i | 0.273605 | − | 0.364530i | ||||
\(666\) | 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 | \(-0.366435\pi\) |
−0.742658 | + | 0.669671i | \(0.766435\pi\) | |||||||
\(674\) | 0.959261 | + | 0.311683i | 0.0369494 | + | 0.0120056i | ||||
\(675\) | 13.7351 | + | 22.0532i | 0.528666 | + | 0.848830i | ||||
\(676\) | −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 | \(0.966729\pi\) | |||||||
\(678\) | 7.84286 | − | 1.55753i | 0.301203 | − | 0.0598165i | ||||
\(679\) | −6.62100 | − | 2.15129i | −0.254091 | − | 0.0825591i | ||||
\(680\) | −5.17139 | + | 15.1123i | −0.198314 | + | 0.579531i | ||||
\(681\) | 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 | \(0.391207\pi\) | |||||||
\(684\) | 8.22487 | − | 7.01594i | 0.314486 | − | 0.268261i | ||||
\(685\) | −26.9947 | − | 0.419736i | −1.03141 | − | 0.0160373i | ||||
\(686\) | −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 | ||||
\(690\) | −0.703407 | + | 5.23106i | −0.0267783 | + | 0.199143i | ||||
\(691\) | −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 | ||||||
\(693\) | 24.0216 | + | 7.49801i | 0.912504 | + | 0.284826i | ||||
\(694\) | 7.74090 | 0.293841 | ||||||||
\(695\) | 0.177334 | + | 0.0606834i | 0.00672668 | + | 0.00230185i | ||||
\(696\) | 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 | ||||
\(700\) | −17.3293 | − | 13.4331i | −0.654984 | − | 0.507722i | ||||
\(701\) | −11.2974 | + | 34.7699i | −0.426698 | + | 1.31324i | 0.474660 | + | 0.880169i | \(0.342571\pi\) |
−0.901359 | + | 0.433074i | \(0.857429\pi\) | |||||||
\(702\) | 11.4065 | − | 7.60631i | 0.430510 | − | 0.287082i | ||||
\(703\) | 17.8412 | 0.672895 | ||||||||
\(704\) | 2.83577 | − | 7.09004i | 0.106877 | − | 0.267216i | ||||
\(705\) | −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 | ||||
\(708\) | 12.3515 | − | 2.45290i | 0.464197 | − | 0.0921858i | ||||
\(709\) | 22.0323 | − | 16.0074i | 0.827439 | − | 0.601170i | −0.0913944 | − | 0.995815i | \(-0.529132\pi\) |
0.918834 | + | 0.394645i | \(0.129132\pi\) | |||||||
\(710\) | −1.45611 | − | 1.09291i | −0.0546468 | − | 0.0410163i | ||||
\(711\) | 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 | ||||
\(715\) | −32.4071 | + | 19.7112i | −1.21196 | + | 0.737157i | ||||
\(716\) | 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 | −0.550383 | − | 0.834912i | \(-0.685518\pi\) |
0.0454795 | + | 0.998965i | \(0.485518\pi\) | |||||||
\(720\) | −10.5732 | − | 12.7927i | −0.394041 | − | 0.476756i | ||||
\(721\) | 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 | ||||
\(730\) | 4.66863 | + | 6.64052i | 0.172794 | + | 0.245777i | ||||
\(731\) | −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 | 0.920198 | + | 0.391454i | \(0.128028\pi\) |
−0.514365 | + | 0.857572i | \(0.671972\pi\) | |||||||
\(734\) | 3.47211 | − | 10.6861i | 0.128158 | − | 0.394430i | ||||
\(735\) | 1.01205 | − | 2.10678i | 0.0373299 | − | 0.0777099i | ||||
\(736\) | − | 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 | \(0.924506\pi\) | |||||||
\(740\) | 0.517437 | − | 33.2782i | 0.0190214 | − | 1.22333i | ||||
\(741\) | 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 | \(-0.169082\pi\) |
−0.748200 | + | 0.663473i | \(0.769082\pi\) | |||||||
\(744\) | 18.7978 | − | 3.73309i | 0.689161 | − | 0.136862i | ||||
\(745\) | 35.3869 | + | 0.550226i | 1.29648 | + | 0.0201587i | ||||
\(746\) | 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 | ||||||
\(750\) | −9.87856 | + | 1.48692i | −0.360714 | + | 0.0542947i | ||||
\(751\) | −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 | ||||
\(753\) | 1.58693 | + | 2.83572i | 0.0578309 | + | 0.103339i | ||||
\(754\) | 9.02235 | + | 12.4182i | 0.328575 | + | 0.452244i | ||||
\(755\) | −9.96251 | − | 14.1704i | −0.362573 | − | 0.515713i | ||||
\(756\) | −14.1233 | + | 17.8813i | −0.513661 | + | 0.650337i | ||||
\(757\) | 9.35522 | − | 12.8764i | 0.340021 | − | 0.467999i | −0.604426 | − | 0.796661i | \(-0.706598\pi\) |
0.944448 | + | 0.328662i | \(0.106598\pi\) | |||||||
\(758\) | 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 | 0.978914 | + | 0.204274i | \(0.0654832\pi\) |
0.496777 | + | 0.867878i | \(0.334517\pi\) | |||||||
\(762\) | −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 | ||||
\(765\) | −19.1752 | + | 15.8484i | −0.693280 | + | 0.572998i | ||||
\(766\) | −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 | \(-0.877296\pi\) | ||
0.926616 | − | 0.376009i | \(-0.122704\pi\) | |||||||
\(770\) | −6.30850 | + | 7.33676i | −0.227342 | + | 0.264398i | ||||
\(771\) | −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 | \(0.998339\pi\) | |||||||
\(774\) | −12.4228 | + | 0.969984i | −0.446527 | + | 0.0348653i | ||||
\(775\) | −9.72053 | + | 27.0270i | −0.349172 | + | 0.970839i | ||||
\(776\) | 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 | ||||
\(780\) | −6.16562 | − | 33.7880i | −0.220764 | − | 1.20980i | ||||
\(781\) | 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 | ||||
\(785\) | 6.25261 | + | 8.89354i | 0.223165 | + | 0.317424i | ||||
\(786\) | −7.94164 | − | 14.1911i | −0.283269 | − | 0.506179i | ||||
\(787\) | −24.0431 | + | 17.4683i | −0.857043 | + | 0.622679i | −0.927079 | − | 0.374866i | \(-0.877689\pi\) |
0.0700355 | + | 0.997544i | \(0.477689\pi\) | |||||||
\(788\) | −20.2951 | + | 6.59427i | −0.722983 | + | 0.234911i | ||||
\(789\) | 24.6605 | + | 11.3779i | 0.877937 | + | 0.405063i | ||||
\(790\) | −0.482879 | + | 1.41111i | −0.0171801 | + | 0.0502051i | ||||
\(791\) | −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 | ||||
\(795\) | 23.9547 | + | 3.22112i | 0.849584 | + | 0.114241i | ||||
\(796\) | −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 | \(0.263271\pi\) | |||||||
\(798\) | 4.09855 | − | 2.29364i | 0.145087 | − | 0.0811939i | ||||
\(799\) | 12.5591 | − | 4.08070i | 0.444309 | − | 0.144365i | ||||
\(800\) | 24.6231 | − | 7.16223i | 0.870558 | − | 0.253223i | ||||
\(801\) | −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 | ||||
\(805\) | 4.83704 | − | 14.1352i | 0.170483 | − | 0.498202i | ||||
\(806\) | 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 | −0.0200376 | − | 0.999799i | \(-0.506379\pi\) |
0.944674 | + | 0.328012i | \(0.106379\pi\) | |||||||
\(810\) | 1.45177 | + | 10.2797i | 0.0510100 | + | 0.361193i | ||||
\(811\) | 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 | ||||
\(816\) | 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 | ||||
\(820\) | −8.59683 | − | 6.45253i | −0.300214 | − | 0.225332i | ||||
\(821\) | 10.1698 | + | 31.2993i | 0.354927 | + | 1.09235i | 0.956052 | + | 0.293198i | \(0.0947195\pi\) |
−0.601125 | + | 0.799155i | \(0.705281\pi\) | |||||||
\(822\) | −9.79583 | − | 4.51960i | −0.341669 | − | 0.157639i | ||||
\(823\) | 20.7542 | − | 28.5657i | 0.723447 | − | 0.995739i | −0.275956 | − | 0.961170i | \(-0.588994\pi\) |
0.999402 | − | 0.0345686i | \(-0.0110057\pi\) | |||||||
\(824\) | −27.9827 | −0.974824 | ||||||||
\(825\) | −2.82830 | − | 28.5832i | −0.0984688 | − | 0.995140i | ||||
\(826\) | 5.47085 | 0.190355 | ||||||||
\(827\) | −7.52960 | + | 10.3636i | −0.261830 | + | 0.360378i | −0.919610 | − | 0.392832i | \(-0.871495\pi\) |
0.657780 | + | 0.753210i | \(0.271495\pi\) | |||||||
\(828\) | 7.18709 | − | 11.7120i | 0.249769 | − | 0.407022i | ||||
\(829\) | 6.44230 | + | 19.8274i | 0.223750 | + | 0.688633i | 0.998416 | + | 0.0562619i | \(0.0179182\pi\) |
−0.774666 | + | 0.632371i | \(0.782082\pi\) | |||||||
\(830\) | −10.7326 | − | 8.05560i | −0.372535 | − | 0.279614i | ||||
\(831\) | −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 | −0.688097 | − | 0.725619i | \(-0.741554\pi\) |
−0.983190 | + | 0.182585i | \(0.941554\pi\) | |||||||
\(840\) | −8.95702 | − | 16.6061i | −0.309046 | − | 0.572966i | ||||
\(841\) | −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 | ||||
\(845\) | 9.52674 | − | 27.8399i | 0.327730 | − | 0.957721i | ||||
\(846\) | 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 | ||||
\(850\) | −2.67160 | − | 9.18471i | −0.0916352 | − | 0.315033i | ||||
\(851\) | 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 | \(-0.843004\pi\) |
0.178103 | + | 0.984012i | \(0.443004\pi\) | |||||||
\(854\) | 3.00452 | + | 9.24695i | 0.102812 | + | 0.316424i | ||||
\(855\) | −3.47338 | + | 13.5023i | −0.118787 | + | 0.461770i | ||||
\(856\) | 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 | \(0.685929\pi\) | |||||||
\(860\) | −10.1067 | + | 29.5346i | −0.344634 | + | 1.00712i | ||||
\(861\) | −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 | \(-0.596902\pi\) |
0.814699 | + | 0.579884i | \(0.196902\pi\) | |||||||
\(864\) | −7.21005 | − | 25.6557i | −0.245291 | − | 0.872826i | ||||
\(865\) | 5.83683 | + | 8.30214i | 0.198458 | + | 0.282281i | ||||
\(866\) | 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 | ||||
\(870\) | −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 | ||||
\(873\) | 8.23279 | − | 0.642826i | 0.278638 | − | 0.0217563i | ||||
\(874\) | −2.29144 | + | 1.66483i | −0.0775092 | + | 0.0563137i | ||||
\(875\) | 28.2458 | + | 1.31842i | 0.954883 | + | 0.0445707i | ||||
\(876\) | −4.11652 | − | 20.7286i | −0.139084 | − | 0.700353i | ||||
\(877\) | 17.9731 | − | 55.3154i | 0.606907 | − | 1.86787i | 0.123797 | − | 0.992308i | \(-0.460493\pi\) |
0.483110 | − | 0.875560i | \(-0.339507\pi\) | |||||||
\(878\) | 14.0825 | + | 10.2315i | 0.475261 | + | 0.345297i | ||||
\(879\) | −6.19189 | + | 52.1771i | −0.208847 | + | 1.75989i | ||||
\(880\) | 4.22396 | + | 17.8554i | 0.142390 | + | 0.601905i | ||||
\(881\) | 3.04775i | 0.102681i | 0.998681 | + | 0.0513406i | \(0.0163494\pi\) | ||||
−0.998681 | + | 0.0513406i | \(0.983651\pi\) | |||||||
\(882\) | 0.710558 | − | 0.606116i | 0.0239257 | − | 0.0204090i | ||||
\(883\) | 4.12061 | + | 1.33887i | 0.138670 | + | 0.0450565i | 0.377529 | − | 0.925998i | \(-0.376774\pi\) |
−0.238860 | + | 0.971054i | \(0.576774\pi\) | |||||||
\(884\) | 31.2770 | − | 10.1625i | 1.05196 | − | 0.341802i | ||||
\(885\) | −11.2114 | + | 11.7491i | −0.376868 | + | 0.394942i | ||||
\(886\) | −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 | \(0.465065\pi\) | |||||||
\(888\) | 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 | ||||
\(895\) | −13.9695 | − | 19.8699i | −0.466950 | − | 0.664176i | ||||
\(896\) | 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 | ||||
\(900\) | 25.0843 | + | 6.87027i | 0.836143 | + | 0.229009i | ||||
\(901\) | 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 | ||||
\(905\) | −20.4977 | − | 0.318716i | −0.681368 | − | 0.0105945i | ||||
\(906\) | −1.34827 | − | 6.78917i | −0.0447934 | − | 0.225555i | ||||
\(907\) | 25.1859 | + | 34.6654i | 0.836284 | + | 1.15105i | 0.986721 | + | 0.162427i | \(0.0519320\pi\) |
−0.150437 | + | 0.988620i | \(0.548068\pi\) | |||||||
\(908\) | −15.8129 | − | 21.7645i | −0.524768 | − | 0.722282i | ||||
\(909\) | 1.75452 | + | 22.4704i | 0.0581937 | + | 0.745297i | ||||
\(910\) | 0.231984 | − | 14.9197i | 0.00769018 | − | 0.494582i | ||||
\(911\) | −28.5559 | + | 39.3038i | −0.946098 | + | 1.30219i | 0.00714073 | + | 0.999975i | \(0.497727\pi\) |
−0.953239 | + | 0.302218i | \(0.902273\pi\) | |||||||
\(912\) | 1.04953 | − | 8.84407i | 0.0347534 | − | 0.292857i | ||||
\(913\) | 24.6976 | − | 29.6433i | 0.817372 | − | 0.981051i | ||||
\(914\) | 21.3038i | 0.704666i | ||||||||
\(915\) | −26.0157 | − | 12.4973i | −0.860054 | − | 0.413149i | ||||
\(916\) | 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 | 0.993881 | − | 0.110456i | \(-0.0352310\pi\) |
−0.412176 | + | 0.911104i | \(0.635231\pi\) | |||||||
\(920\) | 6.54411 | + | 9.30816i | 0.215753 | + | 0.306881i | ||||
\(921\) | −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 | −0.949682 | − | 0.313216i | \(-0.898594\pi\) |
−0.00441860 | − | 0.999990i | \(-0.501406\pi\) | |||||||
\(930\) | −7.92330 | + | 8.30330i | −0.259815 | + | 0.272276i | ||||
\(931\) | 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 | ||||||
\(935\) | 26.7637 | − | 6.33135i | 0.875267 | − | 0.207057i | ||||
\(936\) | 6.91728 | − | 28.7345i | 0.226098 | − | 0.939215i | ||||
\(937\) | −14.1555 | − | 10.2846i | −0.462441 | − | 0.335983i | 0.332047 | − | 0.943263i | \(-0.392261\pi\) |
−0.794488 | + | 0.607280i | \(0.792261\pi\) | |||||||
\(938\) | 4.51739 | − | 13.9031i | 0.147498 | − | 0.453952i | ||||
\(939\) | 47.5503 | − | 9.44310i | 1.55175 | − | 0.308164i | ||||
\(940\) | −11.0417 | − | 8.28759i | −0.360141 | − | 0.270311i | ||||
\(941\) | 29.6583 | − | 21.5481i | 0.966834 | − | 0.702446i | 0.0121065 | − | 0.999927i | \(-0.496146\pi\) |
0.954728 | + | 0.297480i | \(0.0961463\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | 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 | \(0.332925\pi\) | |||||||
\(948\) | 2.63661 | − | 2.85050i | 0.0856330 | − | 0.0925799i | ||||
\(949\) | 11.1220 | − | 34.2301i | 0.361037 | − | 1.11116i | ||||
\(950\) | −4.23691 | − | 3.28431i | −0.137464 | − | 0.106557i | ||||
\(951\) | 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 | \(-0.424395\pi\) |
0.761639 | + | 0.648002i | \(0.224395\pi\) | |||||||
\(954\) | 8.23193 | + | 5.05152i | 0.266518 | + | 0.163549i | ||||
\(955\) | −2.30013 | − | 0.787097i | −0.0744303 | − | 0.0254699i | ||||
\(956\) | −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 | ||||
\(960\) | −8.83752 | − | 1.18836i | −0.285230 | − | 0.0383541i | ||||
\(961\) | 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 | ||||
\(965\) | −4.50921 | − | 0.0701130i | −0.145157 | − | 0.00225702i | ||||
\(966\) | 4.05373 | − | 4.38259i | 0.130427 | − | 0.141008i | ||||
\(967\) | −39.0332 | −1.25522 | −0.627611 | − | 0.778527i | \(-0.715967\pi\) | ||||
−0.627611 | + | 0.778527i | \(0.715967\pi\) | |||||||
\(968\) | 20.8401 | − | 3.82510i | 0.669827 | − | 0.122943i | ||||
\(969\) | −13.2565 | − | 1.57316i | −0.425860 | − | 0.0505371i | ||||
\(970\) | −1.02803 | + | 3.00419i | −0.0330079 | + | 0.0964588i | ||||
\(971\) | −10.9744 | − | 3.56580i | −0.352185 | − | 0.114432i | 0.127581 | − | 0.991828i | \(-0.459279\pi\) |
−0.479767 | + | 0.877396i | \(0.659279\pi\) | |||||||
\(972\) | 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 | ||||
\(975\) | 31.5658 | + | 31.0731i | 1.01092 | + | 0.995135i | ||||
\(976\) | 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 | ||||
\(981\) | −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 | −0.988686 | − | 0.149998i | \(-0.952073\pi\) |
0.711697 | − | 0.702486i | \(-0.247927\pi\) | |||||||
\(984\) | −4.51712 | − | 8.07173i | −0.144000 | − | 0.257317i | ||||
\(985\) | 16.5202 | − | 22.0101i | 0.526376 | − | 0.701302i | ||||
\(986\) | −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 | ||||||||
\(990\) | 3.58973 | − | 10.9016i | 0.114089 | − | 0.346477i | ||||
\(991\) | −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 | ||||
\(995\) | 3.99446 | + | 2.99813i | 0.126633 | + | 0.0950470i | ||||
\(996\) | 17.0616 | + | 30.4877i | 0.540616 | + | 0.966039i | ||||
\(997\) | 16.4190 | + | 50.5325i | 0.519995 | + | 1.60038i | 0.774005 | + | 0.633179i | \(0.218250\pi\) |
−0.254010 | + | 0.967202i | \(0.581750\pi\) | |||||||
\(998\) | 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.29.9 | ✓ | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.11 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.9 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.12 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.12 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.10 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.11 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.10 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.10 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.12 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.10 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.11 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.11 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.12 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.9 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.9 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.9 | ✓ | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.10 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.11 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.12 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.9 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.10 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.11 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.12 | yes | 80 | 33.8 | even | 10 | inner | |
825.2.bi.h.326.9 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.10 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.11 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.12 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.701.9 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.10 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.11 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.12 | 80 | 165.8 | odd | 20 |