Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(317,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.bt (of order \(12\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 317.46 | ||
Character | \(\chi\) | \(=\) | 630.317 |
Dual form | 630.2.bt.a.473.46 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.72399 | + | 0.166915i | 0.995346 | + | 0.0963686i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −0.548139 | − | 2.16784i | −0.245135 | − | 0.969489i | ||||
\(6\) | 1.62204 | + | 0.607429i | 0.662197 | + | 0.247982i | ||||
\(7\) | −1.86272 | − | 1.87890i | −0.704041 | − | 0.710159i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.94428 | + | 0.575521i | 0.981426 | + | 0.191840i | ||||
\(10\) | 0.0316170 | − | 2.23584i | 0.00999818 | − | 0.707036i | ||||
\(11\) | − | 4.77205i | − | 1.43883i | −0.694582 | − | 0.719414i | \(-0.744411\pi\) | ||
0.694582 | − | 0.719414i | \(-0.255589\pi\) | |||||||
\(12\) | 1.40956 | + | 1.00655i | 0.406905 | + | 0.290565i | ||||
\(13\) | −1.30169 | − | 0.348786i | −0.361023 | − | 0.0967359i | 0.0737478 | − | 0.997277i | \(-0.476504\pi\) |
−0.434771 | + | 0.900541i | \(0.643171\pi\) | |||||||
\(14\) | −1.31295 | − | 2.29699i | −0.350901 | − | 0.613896i | ||||
\(15\) | −0.583140 | − | 3.82883i | −0.150566 | − | 0.988600i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 4.94748 | + | 1.32567i | 1.19994 | + | 0.321523i | 0.802808 | − | 0.596238i | \(-0.203339\pi\) |
0.397133 | + | 0.917761i | \(0.370005\pi\) | |||||||
\(18\) | 2.69500 | + | 1.31795i | 0.635217 | + | 0.310643i | ||||
\(19\) | 1.62774 | + | 0.939777i | 0.373429 | + | 0.215600i | 0.674956 | − | 0.737858i | \(-0.264163\pi\) |
−0.301526 | + | 0.953458i | \(0.597496\pi\) | |||||||
\(20\) | 0.609219 | − | 2.15148i | 0.136225 | − | 0.481085i | ||||
\(21\) | −2.89769 | − | 3.55013i | −0.632328 | − | 0.774701i | ||||
\(22\) | 1.23510 | − | 4.60945i | 0.263324 | − | 0.982738i | ||||
\(23\) | 3.66019 | + | 3.66019i | 0.763202 | + | 0.763202i | 0.976900 | − | 0.213698i | \(-0.0685509\pi\) |
−0.213698 | + | 0.976900i | \(0.568551\pi\) | |||||||
\(24\) | 1.10102 | + | 1.33707i | 0.224744 | + | 0.272929i | ||||
\(25\) | −4.39909 | + | 2.37656i | −0.879817 | + | 0.475312i | ||||
\(26\) | −1.16706 | − | 0.673803i | −0.228880 | − | 0.132144i | ||||
\(27\) | 4.97984 | + | 1.48364i | 0.958371 | + | 0.285526i | ||||
\(28\) | −0.673710 | − | 2.55854i | −0.127319 | − | 0.483518i | ||||
\(29\) | −4.90075 | + | 8.48834i | −0.910046 | + | 1.57625i | −0.0960483 | + | 0.995377i | \(0.530620\pi\) |
−0.813997 | + | 0.580869i | \(0.802713\pi\) | |||||||
\(30\) | 0.427704 | − | 3.84929i | 0.0780878 | − | 0.702782i | ||||
\(31\) | 1.15351 | − | 1.99794i | 0.207177 | − | 0.358841i | −0.743647 | − | 0.668572i | \(-0.766906\pi\) |
0.950824 | + | 0.309731i | \(0.100239\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 0.796529 | − | 8.22697i | 0.138658 | − | 1.43213i | ||||
\(34\) | 4.43579 | + | 2.56100i | 0.760732 | + | 0.439209i | ||||
\(35\) | −3.05214 | + | 5.06798i | −0.515906 | + | 0.856645i | ||||
\(36\) | 2.26206 | + | 1.97055i | 0.377010 | + | 0.328426i | ||||
\(37\) | −3.39853 | + | 0.910632i | −0.558714 | + | 0.149707i | −0.527116 | − | 0.849794i | \(-0.676727\pi\) |
−0.0315987 | + | 0.999501i | \(0.510060\pi\) | |||||||
\(38\) | 1.32905 | + | 1.32905i | 0.215600 | + | 0.215600i | ||||
\(39\) | −2.18588 | − | 0.818575i | −0.350021 | − | 0.131077i | ||||
\(40\) | 1.14530 | − | 1.92049i | 0.181088 | − | 0.303656i | ||||
\(41\) | −4.61203 | + | 2.66276i | −0.720279 | + | 0.415853i | −0.814855 | − | 0.579664i | \(-0.803184\pi\) |
0.0945765 | + | 0.995518i | \(0.469850\pi\) | |||||||
\(42\) | −1.88011 | − | 4.17914i | −0.290108 | − | 0.644855i | ||||
\(43\) | −0.100575 | − | 0.375353i | −0.0153376 | − | 0.0572408i | 0.957833 | − | 0.287326i | \(-0.0927662\pi\) |
−0.973171 | + | 0.230085i | \(0.926100\pi\) | |||||||
\(44\) | 2.38603 | − | 4.13272i | 0.359707 | − | 0.623031i | ||||
\(45\) | −0.366237 | − | 6.69820i | −0.0545953 | − | 0.998509i | ||||
\(46\) | 2.58814 | + | 4.48280i | 0.381601 | + | 0.660952i | ||||
\(47\) | 2.13918 | + | 0.573191i | 0.312031 | + | 0.0836084i | 0.411436 | − | 0.911439i | \(-0.365027\pi\) |
−0.0994052 | + | 0.995047i | \(0.531694\pi\) | |||||||
\(48\) | 0.717442 | + | 1.57648i | 0.103554 | + | 0.227545i | ||||
\(49\) | −0.0605584 | + | 6.99974i | −0.00865120 | + | 0.999963i | ||||
\(50\) | −4.86429 | + | 1.15701i | −0.687915 | + | 0.163626i | ||||
\(51\) | 8.30813 | + | 3.11126i | 1.16337 | + | 0.435663i | ||||
\(52\) | −0.952902 | − | 0.952902i | −0.132144 | − | 0.132144i | ||||
\(53\) | 0.0260397 | − | 0.0971817i | 0.00357683 | − | 0.0133489i | −0.964114 | − | 0.265487i | \(-0.914467\pi\) |
0.967691 | + | 0.252138i | \(0.0811338\pi\) | |||||||
\(54\) | 4.42616 | + | 2.72196i | 0.602325 | + | 0.370412i | ||||
\(55\) | −10.3451 | + | 2.61575i | −1.39493 | + | 0.352708i | ||||
\(56\) | 0.0114446 | − | 2.64573i | 0.00152934 | − | 0.353550i | ||||
\(57\) | 2.64935 | + | 1.89186i | 0.350914 | + | 0.250583i | ||||
\(58\) | −6.93070 | + | 6.93070i | −0.910046 | + | 0.910046i | ||||
\(59\) | −0.746874 | + | 1.29362i | −0.0972347 | + | 0.168416i | −0.910539 | − | 0.413423i | \(-0.864333\pi\) |
0.813304 | + | 0.581838i | \(0.197666\pi\) | |||||||
\(60\) | 1.40940 | − | 3.60744i | 0.181953 | − | 0.465718i | ||||
\(61\) | −6.72203 | − | 11.6429i | −0.860668 | − | 1.49072i | −0.871285 | − | 0.490777i | \(-0.836713\pi\) |
0.0106174 | − | 0.999944i | \(-0.496620\pi\) | |||||||
\(62\) | 1.63131 | − | 1.63131i | 0.207177 | − | 0.207177i | ||||
\(63\) | −4.40301 | − | 6.60405i | −0.554728 | − | 0.832032i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.0426073 | + | 3.01304i | −0.00528479 | + | 0.373721i | ||||
\(66\) | 2.89868 | − | 7.74048i | 0.356803 | − | 0.952787i | ||||
\(67\) | −3.53898 | + | 0.948267i | −0.432355 | + | 0.115849i | −0.468432 | − | 0.883500i | \(-0.655181\pi\) |
0.0360762 | + | 0.999349i | \(0.488514\pi\) | |||||||
\(68\) | 3.62181 | + | 3.62181i | 0.439209 | + | 0.439209i | ||||
\(69\) | 5.69918 | + | 6.92106i | 0.686101 | + | 0.833198i | ||||
\(70\) | −4.25983 | + | 4.10534i | −0.509147 | + | 0.490682i | ||||
\(71\) | 14.1744i | 1.68220i | 0.540882 | + | 0.841099i | \(0.318091\pi\) | ||||
−0.540882 | + | 0.841099i | \(0.681909\pi\) | |||||||
\(72\) | 1.67496 | + | 2.48887i | 0.197396 | + | 0.293317i | ||||
\(73\) | 5.55636 | + | 1.48882i | 0.650323 | + | 0.174254i | 0.568875 | − | 0.822424i | \(-0.307379\pi\) |
0.0814481 | + | 0.996678i | \(0.474046\pi\) | |||||||
\(74\) | −3.51841 | −0.409007 | ||||||||
\(75\) | −7.98066 | + | 3.36289i | −0.921528 | + | 0.388313i | ||||
\(76\) | 0.939777 | + | 1.62774i | 0.107800 | + | 0.186715i | ||||
\(77\) | −8.96623 | + | 8.88899i | −1.02180 | + | 1.01299i | ||||
\(78\) | −1.89953 | − | 1.35643i | −0.215080 | − | 0.153585i | ||||
\(79\) | 3.34250 | − | 1.92979i | 0.376060 | − | 0.217118i | −0.300043 | − | 0.953926i | \(-0.597001\pi\) |
0.676103 | + | 0.736807i | \(0.263668\pi\) | |||||||
\(80\) | 1.60334 | − | 1.55862i | 0.179259 | − | 0.174259i | ||||
\(81\) | 8.33755 | + | 3.38899i | 0.926395 | + | 0.376554i | ||||
\(82\) | −5.14406 | + | 1.37835i | −0.568066 | + | 0.152213i | ||||
\(83\) | −4.36758 | + | 1.17029i | −0.479404 | + | 0.128456i | −0.490425 | − | 0.871483i | \(-0.663159\pi\) |
0.0110209 | + | 0.999939i | \(0.496492\pi\) | |||||||
\(84\) | −0.734409 | − | 4.52334i | −0.0801306 | − | 0.493537i | ||||
\(85\) | 0.161943 | − | 11.4520i | 0.0175652 | − | 1.24215i | ||||
\(86\) | − | 0.388594i | − | 0.0419032i | ||||||
\(87\) | −9.86567 | + | 13.8158i | −1.05771 | + | 1.48121i | ||||
\(88\) | 3.37435 | − | 3.37435i | 0.359707 | − | 0.359707i | ||||
\(89\) | 7.07233 | − | 12.2496i | 0.749665 | − | 1.29846i | −0.198318 | − | 0.980138i | \(-0.563548\pi\) |
0.947983 | − | 0.318321i | \(-0.103119\pi\) | |||||||
\(90\) | 1.37986 | − | 6.56475i | 0.145450 | − | 0.691986i | ||||
\(91\) | 1.76934 | + | 3.09544i | 0.185478 | + | 0.324490i | ||||
\(92\) | 1.33972 | + | 4.99991i | 0.139676 | + | 0.521276i | ||||
\(93\) | 2.32213 | − | 3.25189i | 0.240794 | − | 0.337205i | ||||
\(94\) | 1.91793 | + | 1.10732i | 0.197820 | + | 0.114211i | ||||
\(95\) | 1.14506 | − | 4.04382i | 0.117481 | − | 0.414887i | ||||
\(96\) | 0.284973 | + | 1.70845i | 0.0290850 | + | 0.174368i | ||||
\(97\) | 10.9879 | − | 2.94420i | 1.11565 | − | 0.298938i | 0.346529 | − | 0.938039i | \(-0.387360\pi\) |
0.769122 | + | 0.639102i | \(0.220694\pi\) | |||||||
\(98\) | −1.87016 | + | 6.74555i | −0.188915 | + | 0.681404i | ||||
\(99\) | 2.74641 | − | 14.0502i | 0.276025 | − | 1.41210i | ||||
\(100\) | −4.99800 | − | 0.141382i | −0.499800 | − | 0.0141382i | ||||
\(101\) | − | 9.17114i | − | 0.912563i | −0.889836 | − | 0.456281i | \(-0.849181\pi\) | ||
0.889836 | − | 0.456281i | \(-0.150819\pi\) | |||||||
\(102\) | 7.21978 | + | 5.15555i | 0.714865 | + | 0.510475i | ||||
\(103\) | 6.86432 | − | 6.86432i | 0.676362 | − | 0.676362i | −0.282813 | − | 0.959175i | \(-0.591268\pi\) |
0.959175 | + | 0.282813i | \(0.0912676\pi\) | |||||||
\(104\) | −0.673803 | − | 1.16706i | −0.0660718 | − | 0.114440i | ||||
\(105\) | −6.10778 | + | 8.22770i | −0.596058 | + | 0.802941i | ||||
\(106\) | 0.0503049 | − | 0.0871307i | 0.00488605 | − | 0.00846288i | ||||
\(107\) | 4.19794 | + | 15.6669i | 0.405831 | + | 1.51458i | 0.802519 | + | 0.596627i | \(0.203493\pi\) |
−0.396688 | + | 0.917953i | \(0.629841\pi\) | |||||||
\(108\) | 3.57085 | + | 3.77479i | 0.343605 | + | 0.363229i | ||||
\(109\) | −6.33702 | + | 3.65868i | −0.606977 | + | 0.350438i | −0.771781 | − | 0.635888i | \(-0.780634\pi\) |
0.164805 | + | 0.986326i | \(0.447301\pi\) | |||||||
\(110\) | −10.6696 | − | 0.150878i | −1.01730 | − | 0.0143857i | ||||
\(111\) | −6.01102 | + | 1.00265i | −0.570541 | + | 0.0951677i | ||||
\(112\) | 0.695819 | − | 2.55261i | 0.0657487 | − | 0.241199i | ||||
\(113\) | 4.07785 | − | 15.2187i | 0.383612 | − | 1.43166i | −0.456732 | − | 0.889604i | \(-0.650980\pi\) |
0.840344 | − | 0.542054i | \(-0.182353\pi\) | |||||||
\(114\) | 2.06942 | + | 2.51310i | 0.193819 | + | 0.235373i | ||||
\(115\) | 5.92842 | − | 9.94100i | 0.552828 | − | 0.927003i | ||||
\(116\) | −8.48834 | + | 4.90075i | −0.788123 | + | 0.455023i | ||||
\(117\) | −3.63180 | − | 1.77607i | −0.335760 | − | 0.164198i | ||||
\(118\) | −1.05624 | + | 1.05624i | −0.0972347 | + | 0.0972347i | ||||
\(119\) | −6.72495 | − | 11.7652i | −0.616475 | − | 1.07851i | ||||
\(120\) | 2.29505 | − | 3.11973i | 0.209508 | − | 0.284792i | ||||
\(121\) | −11.7725 | −1.07023 | ||||||||
\(122\) | −3.47958 | − | 12.9860i | −0.315026 | − | 1.17569i | ||||
\(123\) | −8.39555 | + | 3.82075i | −0.757002 | + | 0.344505i | ||||
\(124\) | 1.99794 | − | 1.15351i | 0.179420 | − | 0.103588i | ||||
\(125\) | 7.56332 | + | 8.23384i | 0.676484 | + | 0.736457i | ||||
\(126\) | −2.54373 | − | 7.51861i | −0.226614 | − | 0.669811i | ||||
\(127\) | −8.38188 | − | 8.38188i | −0.743772 | − | 0.743772i | 0.229530 | − | 0.973302i | \(-0.426281\pi\) |
−0.973302 | + | 0.229530i | \(0.926281\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −0.110739 | − | 0.663892i | −0.00975002 | − | 0.0584524i | ||||
\(130\) | −0.820987 | + | 2.89934i | −0.0720053 | + | 0.254289i | ||||
\(131\) | 18.8571i | 1.64755i | 0.566914 | + | 0.823777i | \(0.308137\pi\) | ||||
−0.566914 | + | 0.823777i | \(0.691863\pi\) | |||||||
\(132\) | 4.80330 | − | 6.72650i | 0.418073 | − | 0.585466i | ||||
\(133\) | −1.26627 | − | 4.80891i | −0.109800 | − | 0.416985i | ||||
\(134\) | −3.66382 | −0.316506 | ||||||||
\(135\) | 0.486644 | − | 11.6088i | 0.0418837 | − | 0.999122i | ||||
\(136\) | 2.56100 | + | 4.43579i | 0.219604 | + | 0.380366i | ||||
\(137\) | −5.75003 | + | 5.75003i | −0.491258 | + | 0.491258i | −0.908702 | − | 0.417444i | \(-0.862926\pi\) |
0.417444 | + | 0.908702i | \(0.362926\pi\) | |||||||
\(138\) | 3.71368 | + | 8.16029i | 0.316130 | + | 0.694650i | ||||
\(139\) | −1.01702 | + | 0.587175i | −0.0862623 | + | 0.0498036i | −0.542511 | − | 0.840049i | \(-0.682526\pi\) |
0.456248 | + | 0.889852i | \(0.349193\pi\) | |||||||
\(140\) | −5.17722 | + | 2.86293i | −0.437555 | + | 0.241962i | ||||
\(141\) | 3.59224 | + | 1.34524i | 0.302521 | + | 0.113289i | ||||
\(142\) | −3.66862 | + | 13.6915i | −0.307863 | + | 1.14896i | ||||
\(143\) | −1.66443 | + | 6.21172i | −0.139186 | + | 0.519450i | ||||
\(144\) | 0.973724 | + | 2.83758i | 0.0811436 | + | 0.236465i | ||||
\(145\) | 21.0877 | + | 5.97125i | 1.75124 | + | 0.495886i | ||||
\(146\) | 4.98170 | + | 2.87618i | 0.412288 | + | 0.238035i | ||||
\(147\) | −1.27277 | + | 12.0574i | −0.104976 | + | 0.994475i | ||||
\(148\) | −3.39853 | − | 0.910632i | −0.279357 | − | 0.0748535i | ||||
\(149\) | −13.3748 | −1.09571 | −0.547853 | − | 0.836574i | \(-0.684555\pi\) | ||||
−0.547853 | + | 0.836574i | \(0.684555\pi\) | |||||||
\(150\) | −8.57911 | + | 1.18275i | −0.700481 | + | 0.0965715i | ||||
\(151\) | 2.76104 | 0.224690 | 0.112345 | − | 0.993669i | \(-0.464164\pi\) | ||||
0.112345 | + | 0.993669i | \(0.464164\pi\) | |||||||
\(152\) | 0.486464 | + | 1.81551i | 0.0394575 | + | 0.147257i | ||||
\(153\) | 13.8038 | + | 6.75053i | 1.11597 | + | 0.545748i | ||||
\(154\) | −10.9613 | + | 6.26547i | −0.883291 | + | 0.504886i | ||||
\(155\) | −4.96351 | − | 1.40548i | −0.398678 | − | 0.112891i | ||||
\(156\) | −1.48374 | − | 1.80185i | −0.118794 | − | 0.144263i | ||||
\(157\) | −8.97167 | + | 2.40395i | −0.716017 | + | 0.191856i | −0.598394 | − | 0.801202i | \(-0.704194\pi\) |
−0.117623 | + | 0.993058i | \(0.537528\pi\) | |||||||
\(158\) | 3.72807 | − | 0.998933i | 0.296589 | − | 0.0794709i | ||||
\(159\) | 0.0611134 | − | 0.163194i | 0.00484660 | − | 0.0129421i | ||||
\(160\) | 1.95211 | − | 1.09054i | 0.154328 | − | 0.0862148i | ||||
\(161\) | 0.0592403 | − | 13.6950i | 0.00466879 | − | 1.07932i | ||||
\(162\) | 7.17632 | + | 5.43143i | 0.563825 | + | 0.426733i | ||||
\(163\) | −1.99846 | − | 7.45837i | −0.156532 | − | 0.584184i | −0.998969 | − | 0.0453904i | \(-0.985547\pi\) |
0.842438 | − | 0.538794i | \(-0.181120\pi\) | |||||||
\(164\) | −5.32552 | −0.415853 | ||||||||
\(165\) | −18.2714 | + | 2.78277i | −1.42242 | + | 0.216639i | ||||
\(166\) | −4.52165 | −0.350948 | ||||||||
\(167\) | 21.4839 | + | 5.75659i | 1.66247 | + | 0.445458i | 0.963066 | − | 0.269265i | \(-0.0867807\pi\) |
0.699407 | + | 0.714723i | \(0.253447\pi\) | |||||||
\(168\) | 0.461343 | − | 4.55929i | 0.0355934 | − | 0.351757i | ||||
\(169\) | −9.68559 | − | 5.59198i | −0.745045 | − | 0.430152i | ||||
\(170\) | 3.12042 | − | 11.0199i | 0.239326 | − | 0.845187i | ||||
\(171\) | 4.25166 | + | 3.70376i | 0.325133 | + | 0.283234i | ||||
\(172\) | 0.100575 | − | 0.375353i | 0.00766881 | − | 0.0286204i | ||||
\(173\) | 0.140406 | − | 0.524003i | 0.0106749 | − | 0.0398392i | −0.960383 | − | 0.278684i | \(-0.910102\pi\) |
0.971058 | + | 0.238844i | \(0.0767686\pi\) | |||||||
\(174\) | −13.1053 | + | 10.7916i | −0.993510 | + | 0.818110i | ||||
\(175\) | 12.6596 | + | 3.83860i | 0.956975 | + | 0.290171i | ||||
\(176\) | 4.13272 | − | 2.38603i | 0.311515 | − | 0.179853i | ||||
\(177\) | −1.50353 | + | 2.10553i | −0.113012 | + | 0.158261i | ||||
\(178\) | 10.0018 | − | 10.0018i | 0.749665 | − | 0.749665i | ||||
\(179\) | 12.8143 | + | 22.1951i | 0.957789 | + | 1.65894i | 0.727853 | + | 0.685734i | \(0.240518\pi\) |
0.229936 | + | 0.973206i | \(0.426148\pi\) | |||||||
\(180\) | 3.03193 | − | 5.98393i | 0.225987 | − | 0.446016i | ||||
\(181\) | −18.7914 | −1.39676 | −0.698378 | − | 0.715729i | \(-0.746095\pi\) | ||||
−0.698378 | + | 0.715729i | \(0.746095\pi\) | |||||||
\(182\) | 0.907896 | + | 3.44790i | 0.0672977 | + | 0.255575i | ||||
\(183\) | −9.64533 | − | 21.1942i | −0.713003 | − | 1.56672i | ||||
\(184\) | 5.17629i | 0.381601i | ||||||||
\(185\) | 3.83697 | + | 6.86832i | 0.282100 | + | 0.504969i | ||||
\(186\) | 3.08466 | − | 2.54007i | 0.226178 | − | 0.186247i | ||||
\(187\) | 6.32618 | − | 23.6096i | 0.462616 | − | 1.72651i | ||||
\(188\) | 1.56599 | + | 1.56599i | 0.114211 | + | 0.114211i | ||||
\(189\) | −6.48843 | − | 12.1202i | −0.471964 | − | 0.881618i | ||||
\(190\) | 2.15266 | − | 3.60966i | 0.156170 | − | 0.261872i | ||||
\(191\) | −0.160121 | + | 0.0924456i | −0.0115859 | + | 0.00668913i | −0.505782 | − | 0.862661i | \(-0.668796\pi\) |
0.494196 | + | 0.869351i | \(0.335463\pi\) | |||||||
\(192\) | −0.166915 | + | 1.72399i | −0.0120461 | + | 0.124418i | ||||
\(193\) | 1.75761 | + | 6.55948i | 0.126515 | + | 0.472162i | 0.999889 | − | 0.0148887i | \(-0.00473938\pi\) |
−0.873374 | + | 0.487051i | \(0.838073\pi\) | |||||||
\(194\) | 11.3755 | 0.816713 | ||||||||
\(195\) | −0.576377 | + | 5.18733i | −0.0412752 | + | 0.371473i | ||||
\(196\) | −3.55231 | + | 6.03167i | −0.253737 | + | 0.430834i | ||||
\(197\) | −13.9180 | + | 13.9180i | −0.991613 | + | 0.991613i | −0.999965 | − | 0.00835192i | \(-0.997341\pi\) |
0.00835192 | + | 0.999965i | \(0.497341\pi\) | |||||||
\(198\) | 6.28930 | − | 12.8607i | 0.446961 | − | 0.913968i | ||||
\(199\) | −19.3909 | + | 11.1953i | −1.37458 | + | 0.793617i | −0.991501 | − | 0.130097i | \(-0.958471\pi\) |
−0.383083 | + | 0.923714i | \(0.625138\pi\) | |||||||
\(200\) | −4.79111 | − | 1.43014i | −0.338782 | − | 0.101126i | ||||
\(201\) | −6.25945 | + | 1.04409i | −0.441507 | + | 0.0736446i | ||||
\(202\) | 2.37367 | − | 8.85864i | 0.167011 | − | 0.623292i | ||||
\(203\) | 25.0775 | − | 6.60336i | 1.76009 | − | 0.463465i | ||||
\(204\) | 5.63942 | + | 6.84849i | 0.394839 | + | 0.479490i | ||||
\(205\) | 8.30048 | + | 8.53860i | 0.579731 | + | 0.596362i | ||||
\(206\) | 8.40704 | − | 4.85381i | 0.585747 | − | 0.338181i | ||||
\(207\) | 8.67010 | + | 12.8831i | 0.602613 | + | 0.895439i | ||||
\(208\) | −0.348786 | − | 1.30169i | −0.0241840 | − | 0.0902558i | ||||
\(209\) | 4.48466 | − | 7.76766i | 0.310211 | − | 0.537301i | ||||
\(210\) | −8.02915 | + | 6.36654i | −0.554064 | + | 0.439333i | ||||
\(211\) | −3.62926 | − | 6.28605i | −0.249848 | − | 0.432750i | 0.713635 | − | 0.700517i | \(-0.247047\pi\) |
−0.963484 | + | 0.267768i | \(0.913714\pi\) | |||||||
\(212\) | 0.0711419 | − | 0.0711419i | 0.00488605 | − | 0.00488605i | ||||
\(213\) | −2.36593 | + | 24.4366i | −0.162111 | + | 1.67437i | ||||
\(214\) | 16.2196i | 1.10875i | ||||||||
\(215\) | −0.758577 | + | 0.423778i | −0.0517345 | + | 0.0289014i | ||||
\(216\) | 2.47219 | + | 4.57037i | 0.168211 | + | 0.310974i | ||||
\(217\) | −5.90261 | + | 1.55426i | −0.400695 | + | 0.105510i | ||||
\(218\) | −7.06803 | + | 1.89387i | −0.478707 | + | 0.128269i | ||||
\(219\) | 9.33060 | + | 3.49416i | 0.630504 | + | 0.236113i | ||||
\(220\) | −10.2670 | − | 2.90722i | −0.692198 | − | 0.196005i | ||||
\(221\) | −5.97770 | − | 3.45123i | −0.402104 | − | 0.232155i | ||||
\(222\) | −6.06571 | − | 0.587277i | −0.407104 | − | 0.0394155i | ||||
\(223\) | −3.06109 | − | 11.4241i | −0.204986 | − | 0.765016i | −0.989454 | − | 0.144848i | \(-0.953731\pi\) |
0.784468 | − | 0.620169i | \(-0.212936\pi\) | |||||||
\(224\) | 1.33277 | − | 2.28554i | 0.0890497 | − | 0.152709i | ||||
\(225\) | −14.3199 | + | 4.46549i | −0.954660 | + | 0.297699i | ||||
\(226\) | 7.87780 | − | 13.6447i | 0.524023 | − | 0.907635i | ||||
\(227\) | 12.4079 | − | 12.4079i | 0.823540 | − | 0.823540i | −0.163074 | − | 0.986614i | \(-0.552141\pi\) |
0.986614 | + | 0.163074i | \(0.0521409\pi\) | |||||||
\(228\) | 1.34847 | + | 2.96307i | 0.0893046 | + | 0.196234i | ||||
\(229\) | 14.7756i | 0.976397i | 0.872733 | + | 0.488198i | \(0.162346\pi\) | ||||
−0.872733 | + | 0.488198i | \(0.837654\pi\) | |||||||
\(230\) | 8.29933 | − | 8.06788i | 0.547242 | − | 0.531981i | ||||
\(231\) | −16.9414 | + | 13.8279i | −1.11466 | + | 0.909810i | ||||
\(232\) | −9.46751 | + | 2.53681i | −0.621573 | + | 0.166550i | ||||
\(233\) | −11.2675 | + | 3.01913i | −0.738161 | + | 0.197790i | −0.608261 | − | 0.793737i | \(-0.708132\pi\) |
−0.129900 | + | 0.991527i | \(0.541466\pi\) | |||||||
\(234\) | −3.04837 | − | 2.65553i | −0.199278 | − | 0.173598i | ||||
\(235\) | 0.0700203 | − | 4.95159i | 0.00456762 | − | 0.323006i | ||||
\(236\) | −1.29362 | + | 0.746874i | −0.0842078 | + | 0.0486174i | ||||
\(237\) | 6.08454 | − | 2.76902i | 0.395233 | − | 0.179867i | ||||
\(238\) | −3.45075 | − | 13.1049i | −0.223679 | − | 0.849462i | ||||
\(239\) | 0.228112 | + | 0.395101i | 0.0147553 | + | 0.0255570i | 0.873309 | − | 0.487167i | \(-0.161970\pi\) |
−0.858553 | + | 0.512724i | \(0.828636\pi\) | |||||||
\(240\) | 3.02429 | − | 2.41943i | 0.195217 | − | 0.156174i | ||||
\(241\) | −17.9438 | −1.15586 | −0.577931 | − | 0.816086i | \(-0.696140\pi\) | ||||
−0.577931 | + | 0.816086i | \(0.696140\pi\) | |||||||
\(242\) | −11.3713 | − | 3.04694i | −0.730977 | − | 0.195865i | ||||
\(243\) | 13.8082 | + | 7.23424i | 0.885795 | + | 0.464077i | ||||
\(244\) | − | 13.4441i | − | 0.860668i | ||||||
\(245\) | 15.2075 | − | 3.70555i | 0.971573 | − | 0.236739i | ||||
\(246\) | −9.09836 | + | 1.51763i | −0.580091 | + | 0.0967606i | ||||
\(247\) | −1.79103 | − | 1.79103i | −0.113960 | − | 0.113960i | ||||
\(248\) | 2.22841 | − | 0.597102i | 0.141504 | − | 0.0379160i | ||||
\(249\) | −7.72500 | + | 1.28855i | −0.489552 | + | 0.0816586i | ||||
\(250\) | 5.17453 | + | 9.91081i | 0.327266 | + | 0.626815i | ||||
\(251\) | − | 2.76147i | − | 0.174302i | −0.996195 | − | 0.0871511i | \(-0.972224\pi\) | ||
0.996195 | − | 0.0871511i | \(-0.0277763\pi\) | |||||||
\(252\) | −0.511098 | − | 7.92078i | −0.0321961 | − | 0.498962i | ||||
\(253\) | 17.4666 | − | 17.4666i | 1.09812 | − | 1.09812i | ||||
\(254\) | −5.92689 | − | 10.2657i | −0.371886 | − | 0.644125i | ||||
\(255\) | 2.19071 | − | 19.7161i | 0.137187 | − | 1.23467i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 14.6825 | − | 14.6825i | 0.915870 | − | 0.915870i | −0.0808562 | − | 0.996726i | \(-0.525765\pi\) |
0.996726 | + | 0.0808562i | \(0.0257654\pi\) | |||||||
\(258\) | 0.0648623 | − | 0.669932i | 0.00403815 | − | 0.0417081i | ||||
\(259\) | 8.04149 | + | 4.68925i | 0.499674 | + | 0.291376i | ||||
\(260\) | −1.54342 | + | 2.58806i | −0.0957187 | + | 0.160505i | ||||
\(261\) | −19.3144 | + | 22.1716i | −1.19553 | + | 1.37238i | ||||
\(262\) | −4.88058 | + | 18.2146i | −0.301523 | + | 1.12530i | ||||
\(263\) | 1.04702 | + | 1.04702i | 0.0645620 | + | 0.0645620i | 0.738651 | − | 0.674089i | \(-0.235463\pi\) |
−0.674089 | + | 0.738651i | \(0.735463\pi\) | |||||||
\(264\) | 6.38057 | − | 5.25411i | 0.392697 | − | 0.323368i | ||||
\(265\) | −0.224948 | − | 0.00318099i | −0.0138184 | − | 0.000195406i | ||||
\(266\) | 0.0215107 | − | 4.97278i | 0.00131890 | − | 0.304901i | ||||
\(267\) | 14.2373 | − | 19.9378i | 0.871307 | − | 1.22017i | ||||
\(268\) | −3.53898 | − | 0.948267i | −0.216178 | − | 0.0579247i | ||||
\(269\) | 4.20016 | + | 7.27489i | 0.256088 | + | 0.443558i | 0.965190 | − | 0.261548i | \(-0.0842329\pi\) |
−0.709102 | + | 0.705106i | \(0.750900\pi\) | |||||||
\(270\) | 3.47463 | − | 11.0872i | 0.211459 | − | 0.674748i | ||||
\(271\) | 11.8659 | − | 20.5523i | 0.720802 | − | 1.24847i | −0.239876 | − | 0.970803i | \(-0.577107\pi\) |
0.960679 | − | 0.277663i | \(-0.0895598\pi\) | |||||||
\(272\) | 1.32567 | + | 4.94748i | 0.0803808 | + | 0.299985i | ||||
\(273\) | 2.53365 | + | 5.63183i | 0.153344 | + | 0.340854i | ||||
\(274\) | −7.04232 | + | 4.06588i | −0.425442 | + | 0.245629i | ||||
\(275\) | 11.3411 | + | 20.9927i | 0.683892 | + | 1.26591i | ||||
\(276\) | 1.47510 | + | 8.84341i | 0.0887908 | + | 0.532311i | ||||
\(277\) | −7.26919 | − | 7.26919i | −0.436763 | − | 0.436763i | 0.454158 | − | 0.890921i | \(-0.349940\pi\) |
−0.890921 | + | 0.454158i | \(0.849940\pi\) | |||||||
\(278\) | −1.13434 | + | 0.303944i | −0.0680329 | + | 0.0182294i | ||||
\(279\) | 4.54612 | − | 5.21862i | 0.272169 | − | 0.312431i | ||||
\(280\) | −5.74179 | + | 1.42542i | −0.343138 | + | 0.0851850i | ||||
\(281\) | −16.1374 | − | 9.31691i | −0.962674 | − | 0.555800i | −0.0656791 | − | 0.997841i | \(-0.520921\pi\) |
−0.896995 | + | 0.442041i | \(0.854255\pi\) | |||||||
\(282\) | 3.12167 | + | 2.22914i | 0.185893 | + | 0.132743i | ||||
\(283\) | 1.02388 | + | 3.82117i | 0.0608634 | + | 0.227145i | 0.989657 | − | 0.143451i | \(-0.0458200\pi\) |
−0.928794 | + | 0.370596i | \(0.879153\pi\) | |||||||
\(284\) | −7.08722 | + | 12.2754i | −0.420549 | + | 0.728413i | ||||
\(285\) | 2.64905 | − | 6.78037i | 0.156916 | − | 0.401634i | ||||
\(286\) | −3.21542 | + | 5.56928i | −0.190132 | + | 0.329318i | ||||
\(287\) | 13.5940 | + | 3.70560i | 0.802428 | + | 0.218734i | ||||
\(288\) | 0.206125 | + | 2.99291i | 0.0121460 | + | 0.176359i | ||||
\(289\) | 7.99773 | + | 4.61749i | 0.470455 | + | 0.271617i | ||||
\(290\) | 18.8237 | + | 11.2257i | 1.10536 | + | 0.659195i | ||||
\(291\) | 19.4344 | − | 3.24171i | 1.13927 | − | 0.190033i | ||||
\(292\) | 4.06754 | + | 4.06754i | 0.238035 | + | 0.238035i | ||||
\(293\) | 7.88717 | − | 29.4353i | 0.460774 | − | 1.71963i | −0.209761 | − | 0.977753i | \(-0.567269\pi\) |
0.670535 | − | 0.741878i | \(-0.266065\pi\) | |||||||
\(294\) | −4.35007 | + | 11.3171i | −0.253701 | + | 0.660027i | ||||
\(295\) | 3.21376 | + | 0.910020i | 0.187113 | + | 0.0529834i | ||||
\(296\) | −3.04704 | − | 1.75921i | −0.177105 | − | 0.102252i | ||||
\(297\) | 7.07999 | − | 23.7641i | 0.410823 | − | 1.37893i | ||||
\(298\) | −12.9191 | − | 3.46165i | −0.748381 | − | 0.200528i | ||||
\(299\) | −3.48780 | − | 6.04104i | −0.201705 | − | 0.349363i | ||||
\(300\) | −8.59290 | − | 1.07798i | −0.496111 | − | 0.0622374i | ||||
\(301\) | −0.517908 | + | 0.888148i | −0.0298517 | + | 0.0511920i | ||||
\(302\) | 2.66696 | + | 0.714609i | 0.153466 | + | 0.0411211i | ||||
\(303\) | 1.53080 | − | 15.8109i | 0.0879424 | − | 0.908315i | ||||
\(304\) | 1.87955i | 0.107800i | ||||||||
\(305\) | −21.5554 | + | 20.9542i | −1.23426 | + | 1.19984i | ||||
\(306\) | 11.5863 | + | 10.0932i | 0.662344 | + | 0.576990i | ||||
\(307\) | −4.52891 | − | 4.52891i | −0.258478 | − | 0.258478i | 0.565957 | − | 0.824435i | \(-0.308507\pi\) |
−0.824435 | + | 0.565957i | \(0.808507\pi\) | |||||||
\(308\) | −12.2095 | + | 3.21498i | −0.695699 | + | 0.183190i | ||||
\(309\) | 12.9798 | − | 10.6883i | 0.738394 | − | 0.608034i | ||||
\(310\) | −4.43061 | − | 2.64224i | −0.251642 | − | 0.150069i | ||||
\(311\) | −18.7988 | − | 10.8535i | −1.06598 | − | 0.615443i | −0.138899 | − | 0.990307i | \(-0.544356\pi\) |
−0.927080 | + | 0.374863i | \(0.877690\pi\) | |||||||
\(312\) | −0.966829 | − | 2.12447i | −0.0547359 | − | 0.120274i | ||||
\(313\) | 32.3867 | + | 8.67800i | 1.83061 | + | 0.490509i | 0.997992 | − | 0.0633439i | \(-0.0201765\pi\) |
0.832614 | + | 0.553853i | \(0.186843\pi\) | |||||||
\(314\) | −9.28816 | −0.524161 | ||||||||
\(315\) | −11.9031 | + | 13.1650i | −0.670662 | + | 0.741763i | ||||
\(316\) | 3.85958 | 0.217118 | ||||||||
\(317\) | 32.6430 | + | 8.74667i | 1.83341 | + | 0.491262i | 0.998271 | − | 0.0587717i | \(-0.0187184\pi\) |
0.835143 | + | 0.550034i | \(0.185385\pi\) | |||||||
\(318\) | 0.101269 | − | 0.141816i | 0.00567886 | − | 0.00795263i | ||||
\(319\) | 40.5068 | + | 23.3866i | 2.26795 | + | 1.30940i | ||||
\(320\) | 2.16784 | − | 0.548139i | 0.121186 | − | 0.0306419i | ||||
\(321\) | 4.62216 | + | 27.7103i | 0.257984 | + | 1.54664i | ||||
\(322\) | 3.60176 | − | 13.2131i | 0.200718 | − | 0.736335i | ||||
\(323\) | 6.80738 | + | 6.80738i | 0.378773 | + | 0.378773i | ||||
\(324\) | 5.52604 | + | 7.10372i | 0.307002 | + | 0.394651i | ||||
\(325\) | 6.55515 | − | 1.55920i | 0.363614 | − | 0.0864888i | ||||
\(326\) | − | 7.72147i | − | 0.427653i | ||||||
\(327\) | −11.5356 | + | 5.24978i | −0.637923 | + | 0.290314i | ||||
\(328\) | −5.14406 | − | 1.37835i | −0.284033 | − | 0.0761064i | ||||
\(329\) | −2.90771 | − | 5.08700i | −0.160307 | − | 0.280455i | ||||
\(330\) | −18.3690 | − | 2.04103i | −1.01118 | − | 0.112355i | ||||
\(331\) | 5.14525 | + | 8.91184i | 0.282809 | + | 0.489839i | 0.972075 | − | 0.234669i | \(-0.0754005\pi\) |
−0.689267 | + | 0.724508i | \(0.742067\pi\) | |||||||
\(332\) | −4.36758 | − | 1.17029i | −0.239702 | − | 0.0642280i | ||||
\(333\) | −10.5303 | + | 0.725233i | −0.577057 | + | 0.0397425i | ||||
\(334\) | 19.2619 | + | 11.1209i | 1.05397 | + | 0.608507i | ||||
\(335\) | 3.99555 | + | 7.15217i | 0.218300 | + | 0.390765i | ||||
\(336\) | 1.62566 | − | 4.28454i | 0.0886868 | − | 0.233741i | ||||
\(337\) | −5.02156 | + | 18.7407i | −0.273542 | + | 1.02087i | 0.683270 | + | 0.730166i | \(0.260557\pi\) |
−0.956812 | + | 0.290707i | \(0.906110\pi\) | |||||||
\(338\) | −7.90825 | − | 7.90825i | −0.430152 | − | 0.430152i | ||||
\(339\) | 9.57041 | − | 25.5563i | 0.519793 | − | 1.38803i | ||||
\(340\) | 5.86626 | − | 9.83677i | 0.318142 | − | 0.533474i | ||||
\(341\) | −9.53428 | − | 5.50462i | −0.516310 | − | 0.298092i | ||||
\(342\) | 3.14819 | + | 4.67797i | 0.170234 | + | 0.252956i | ||||
\(343\) | 13.2646 | − | 12.9248i | 0.716223 | − | 0.697871i | ||||
\(344\) | 0.194297 | − | 0.336532i | 0.0104758 | − | 0.0181446i | ||||
\(345\) | 11.8798 | − | 16.1486i | 0.639589 | − | 0.869414i | ||||
\(346\) | 0.271244 | − | 0.469808i | 0.0145822 | − | 0.0252570i | ||||
\(347\) | −3.01188 | − | 11.2405i | −0.161686 | − | 0.603421i | −0.998440 | − | 0.0558412i | \(-0.982216\pi\) |
0.836754 | − | 0.547580i | \(-0.184451\pi\) | |||||||
\(348\) | −15.4518 | + | 7.03200i | −0.828304 | + | 0.376955i | ||||
\(349\) | −16.5339 | − | 9.54588i | −0.885042 | − | 0.510979i | −0.0127243 | − | 0.999919i | \(-0.504050\pi\) |
−0.872317 | + | 0.488940i | \(0.837384\pi\) | |||||||
\(350\) | 11.2347 | + | 6.98434i | 0.600521 | + | 0.373329i | ||||
\(351\) | −5.96473 | − | 3.66813i | −0.318374 | − | 0.195790i | ||||
\(352\) | 4.60945 | − | 1.23510i | 0.245684 | − | 0.0658309i | ||||
\(353\) | −9.44329 | − | 9.44329i | −0.502616 | − | 0.502616i | 0.409634 | − | 0.912250i | \(-0.365656\pi\) |
−0.912250 | + | 0.409634i | \(0.865656\pi\) | |||||||
\(354\) | −1.99725 | + | 1.64464i | −0.106153 | + | 0.0874118i | ||||
\(355\) | 30.7280 | − | 7.76957i | 1.63087 | − | 0.412366i | ||||
\(356\) | 12.2496 | − | 7.07233i | 0.649229 | − | 0.374833i | ||||
\(357\) | −9.62995 | − | 21.4056i | −0.509671 | − | 1.13290i | ||||
\(358\) | 6.63319 | + | 24.7554i | 0.350575 | + | 1.30836i | ||||
\(359\) | 4.83887 | − | 8.38116i | 0.255386 | − | 0.442341i | −0.709615 | − | 0.704590i | \(-0.751131\pi\) |
0.965000 | + | 0.262249i | \(0.0844642\pi\) | |||||||
\(360\) | 4.47737 | − | 4.99531i | 0.235978 | − | 0.263276i | ||||
\(361\) | −7.73364 | − | 13.3951i | −0.407034 | − | 0.705003i | ||||
\(362\) | −18.1511 | − | 4.86358i | −0.954002 | − | 0.255624i | ||||
\(363\) | −20.2956 | − | 1.96501i | −1.06524 | − | 0.103136i | ||||
\(364\) | −0.0154228 | + | 3.56540i | −0.000808373 | + | 0.186878i | ||||
\(365\) | 0.181873 | − | 12.8614i | 0.00951966 | − | 0.673197i | ||||
\(366\) | −3.83120 | − | 22.9685i | −0.200260 | − | 1.20058i | ||||
\(367\) | 12.9232 | + | 12.9232i | 0.674583 | + | 0.674583i | 0.958769 | − | 0.284186i | \(-0.0917233\pi\) |
−0.284186 | + | 0.958769i | \(0.591723\pi\) | |||||||
\(368\) | −1.33972 | + | 4.99991i | −0.0698378 | + | 0.260638i | ||||
\(369\) | −15.1116 | + | 5.18558i | −0.786678 | + | 0.269951i | ||||
\(370\) | 1.92858 | + | 7.62737i | 0.100262 | + | 0.396528i | ||||
\(371\) | −0.231100 | + | 0.132096i | −0.0119981 | + | 0.00685808i | ||||
\(372\) | 3.63697 | − | 1.65515i | 0.188568 | − | 0.0858158i | ||||
\(373\) | 9.77443 | − | 9.77443i | 0.506101 | − | 0.506101i | −0.407226 | − | 0.913327i | \(-0.633504\pi\) |
0.913327 | + | 0.407226i | \(0.133504\pi\) | |||||||
\(374\) | 12.2212 | − | 21.1678i | 0.631946 | − | 1.09456i | ||||
\(375\) | 11.6647 | + | 15.4575i | 0.602364 | + | 0.798221i | ||||
\(376\) | 1.10732 | + | 1.91793i | 0.0571056 | + | 0.0989098i | ||||
\(377\) | 9.33986 | − | 9.33986i | 0.481027 | − | 0.481027i | ||||
\(378\) | −3.13040 | − | 13.3866i | −0.161010 | − | 0.688532i | ||||
\(379\) | − | 10.0920i | − | 0.518391i | −0.965825 | − | 0.259195i | \(-0.916543\pi\) | ||
0.965825 | − | 0.259195i | \(-0.0834573\pi\) | |||||||
\(380\) | 3.01356 | − | 2.92952i | 0.154592 | − | 0.150281i | ||||
\(381\) | −13.0512 | − | 15.8493i | −0.668634 | − | 0.811986i | ||||
\(382\) | −0.178591 | + | 0.0478534i | −0.00913752 | + | 0.00244839i | ||||
\(383\) | 4.02962 | + | 4.02962i | 0.205904 | + | 0.205904i | 0.802524 | − | 0.596620i | \(-0.203490\pi\) |
−0.596620 | + | 0.802524i | \(0.703490\pi\) | |||||||
\(384\) | −0.607429 | + | 1.62204i | −0.0309977 | + | 0.0827746i | ||||
\(385\) | 24.1847 | + | 14.5650i | 1.23257 | + | 0.742299i | ||||
\(386\) | 6.79088i | 0.345647i | ||||||||
\(387\) | −0.0800989 | − | 1.16303i | −0.00407166 | − | 0.0591200i | ||||
\(388\) | 10.9879 | + | 2.94420i | 0.557826 | + | 0.149469i | ||||
\(389\) | −33.3124 | −1.68901 | −0.844503 | − | 0.535551i | \(-0.820104\pi\) | ||||
−0.844503 | + | 0.535551i | \(0.820104\pi\) | |||||||
\(390\) | −1.89932 | + | 4.86140i | −0.0961757 | + | 0.246167i | ||||
\(391\) | 13.2565 | + | 22.9609i | 0.670410 | + | 1.16118i | ||||
\(392\) | −4.99238 | + | 4.90674i | −0.252153 | + | 0.247828i | ||||
\(393\) | −3.14754 | + | 32.5095i | −0.158773 | + | 1.63989i | ||||
\(394\) | −17.0459 | + | 9.84148i | −0.858762 | + | 0.495807i | ||||
\(395\) | −6.01564 | − | 6.18821i | −0.302680 | − | 0.311363i | ||||
\(396\) | 9.40359 | − | 10.7947i | 0.472548 | − | 0.542452i | ||||
\(397\) | 11.5735 | − | 3.10111i | 0.580858 | − | 0.155640i | 0.0435861 | − | 0.999050i | \(-0.486122\pi\) |
0.537272 | + | 0.843409i | \(0.319455\pi\) | |||||||
\(398\) | −21.6277 | + | 5.79514i | −1.08410 | + | 0.290484i | ||||
\(399\) | −1.38036 | − | 8.50187i | −0.0691045 | − | 0.425626i | ||||
\(400\) | −4.25770 | − | 2.62144i | −0.212885 | − | 0.131072i | ||||
\(401\) | − | 38.5001i | − | 1.92261i | −0.275495 | − | 0.961303i | \(-0.588842\pi\) | ||
0.275495 | − | 0.961303i | \(-0.411158\pi\) | |||||||
\(402\) | −6.31639 | − | 0.611549i | −0.315033 | − | 0.0305013i | ||||
\(403\) | −2.19837 | + | 2.19837i | −0.109508 | + | 0.109508i | ||||
\(404\) | 4.58557 | − | 7.94244i | 0.228141 | − | 0.395151i | ||||
\(405\) | 2.77665 | − | 19.9321i | 0.137973 | − | 0.990436i | ||||
\(406\) | 25.9321 | + | 0.112174i | 1.28699 | + | 0.00556709i | ||||
\(407\) | 4.34558 | + | 16.2179i | 0.215403 | + | 0.803894i | ||||
\(408\) | 3.67474 | + | 8.07473i | 0.181927 | + | 0.399759i | ||||
\(409\) | −4.75393 | − | 2.74468i | −0.235067 | − | 0.135716i | 0.377841 | − | 0.925871i | \(-0.376667\pi\) |
−0.612907 | + | 0.790155i | \(0.710000\pi\) | |||||||
\(410\) | 5.80770 | + | 10.3960i | 0.286822 | + | 0.513421i | ||||
\(411\) | −10.8728 | + | 8.95322i | −0.536314 | + | 0.441630i | ||||
\(412\) | 9.37684 | − | 2.51252i | 0.461964 | − | 0.123783i | ||||
\(413\) | 3.82181 | − | 1.00635i | 0.188059 | − | 0.0495194i | ||||
\(414\) | 5.04027 | + | 14.6881i | 0.247716 | + | 0.721882i | ||||
\(415\) | 4.93105 | + | 8.82675i | 0.242056 | + | 0.433288i | ||||
\(416\) | − | 1.34761i | − | 0.0660718i | ||||||
\(417\) | −1.85134 | + | 0.842528i | −0.0906603 | + | 0.0412588i | ||||
\(418\) | 6.34227 | − | 6.34227i | 0.310211 | − | 0.310211i | ||||
\(419\) | 5.20034 | + | 9.00726i | 0.254053 | + | 0.440033i | 0.964638 | − | 0.263578i | \(-0.0849028\pi\) |
−0.710585 | + | 0.703612i | \(0.751569\pi\) | |||||||
\(420\) | −9.40334 | + | 4.07151i | −0.458836 | + | 0.198669i | ||||
\(421\) | 2.65150 | − | 4.59253i | 0.129226 | − | 0.223826i | −0.794151 | − | 0.607721i | \(-0.792084\pi\) |
0.923377 | + | 0.383895i | \(0.125417\pi\) | |||||||
\(422\) | −1.87864 | − | 7.01118i | −0.0914508 | − | 0.341299i | ||||
\(423\) | 5.96845 | + | 2.91877i | 0.290196 | + | 0.141916i | ||||
\(424\) | 0.0871307 | − | 0.0503049i | 0.00423144 | − | 0.00244302i | ||||
\(425\) | −24.9149 | + | 5.92624i | −1.20855 | + | 0.287465i | ||||
\(426\) | −8.60997 | + | 22.9916i | −0.417154 | + | 1.11395i | ||||
\(427\) | −9.35463 | + | 34.3175i | −0.452702 | + | 1.66074i | ||||
\(428\) | −4.19794 | + | 15.6669i | −0.202915 | + | 0.757290i | ||||
\(429\) | −3.90628 | + | 10.4311i | −0.188597 | + | 0.503619i | ||||
\(430\) | −0.842410 | + | 0.213004i | −0.0406246 | + | 0.0102719i | ||||
\(431\) | 28.3027 | − | 16.3406i | 1.36329 | − | 0.787097i | 0.373232 | − | 0.927738i | \(-0.378250\pi\) |
0.990061 | + | 0.140641i | \(0.0449163\pi\) | |||||||
\(432\) | 1.20505 | + | 5.05449i | 0.0579782 | + | 0.243184i | ||||
\(433\) | −18.6732 | + | 18.6732i | −0.897375 | + | 0.897375i | −0.995203 | − | 0.0978280i | \(-0.968811\pi\) |
0.0978280 | + | 0.995203i | \(0.468811\pi\) | |||||||
\(434\) | −6.10375 | − | 0.0264029i | −0.292990 | − | 0.00126738i | ||||
\(435\) | 35.3582 | + | 13.8142i | 1.69530 | + | 0.662342i | ||||
\(436\) | −7.31736 | −0.350438 | ||||||||
\(437\) | 2.51808 | + | 9.39760i | 0.120456 | + | 0.449548i | ||||
\(438\) | 8.10831 | + | 5.79003i | 0.387430 | + | 0.276659i | ||||
\(439\) | −20.5872 | + | 11.8860i | −0.982572 | + | 0.567288i | −0.903046 | − | 0.429545i | \(-0.858674\pi\) |
−0.0795263 | + | 0.996833i | \(0.525341\pi\) | |||||||
\(440\) | −9.16468 | − | 5.46545i | −0.436909 | − | 0.260555i | ||||
\(441\) | −4.20679 | + | 20.5743i | −0.200324 | + | 0.979730i | ||||
\(442\) | −4.88077 | − | 4.88077i | −0.232155 | − | 0.232155i | ||||
\(443\) | −5.49283 | + | 20.4995i | −0.260972 | + | 0.973962i | 0.703697 | + | 0.710500i | \(0.251531\pi\) |
−0.964670 | + | 0.263462i | \(0.915136\pi\) | |||||||
\(444\) | −5.70702 | − | 2.13719i | −0.270843 | − | 0.101426i | ||||
\(445\) | −30.4319 | − | 8.61719i | −1.44261 | − | 0.408494i | ||||
\(446\) | − | 11.8271i | − | 0.560031i | ||||||
\(447\) | −23.0580 | − | 2.23246i | −1.09061 | − | 0.105592i | ||||
\(448\) | 1.87890 | − | 1.86272i | 0.0887699 | − | 0.0880052i | ||||
\(449\) | −8.16454 | −0.385309 | −0.192654 | − | 0.981267i | \(-0.561710\pi\) | ||||
−0.192654 | + | 0.981267i | \(0.561710\pi\) | |||||||
\(450\) | −14.9877 | + | 0.607071i | −0.706527 | + | 0.0286176i | ||||
\(451\) | 12.7068 | + | 22.0089i | 0.598341 | + | 1.03636i | ||||
\(452\) | 11.1409 | − | 11.1409i | 0.524023 | − | 0.524023i | ||||
\(453\) | 4.76000 | + | 0.460860i | 0.223644 | + | 0.0216531i | ||||
\(454\) | 15.1965 | − | 8.77370i | 0.713206 | − | 0.411770i | ||||
\(455\) | 5.74057 | − | 5.53239i | 0.269122 | − | 0.259362i | ||||
\(456\) | 0.535623 | + | 3.21112i | 0.0250828 | + | 0.150374i | ||||
\(457\) | 8.66154 | − | 32.3253i | 0.405170 | − | 1.51211i | −0.398572 | − | 0.917137i | \(-0.630494\pi\) |
0.803742 | − | 0.594978i | \(-0.202839\pi\) | |||||||
\(458\) | −3.82420 | + | 14.2721i | −0.178693 | + | 0.666891i | ||||
\(459\) | 22.6709 | + | 13.9419i | 1.05818 | + | 0.650753i | ||||
\(460\) | 10.1047 | − | 5.64495i | 0.471132 | − | 0.263197i | ||||
\(461\) | 20.4255 | + | 11.7927i | 0.951310 | + | 0.549239i | 0.893488 | − | 0.449088i | \(-0.148251\pi\) |
0.0578226 | + | 0.998327i | \(0.481584\pi\) | |||||||
\(462\) | −19.9431 | + | 8.97199i | −0.927835 | + | 0.417415i | ||||
\(463\) | 31.4215 | + | 8.41936i | 1.46028 | + | 0.391281i | 0.899586 | − | 0.436743i | \(-0.143868\pi\) |
0.560693 | + | 0.828024i | \(0.310535\pi\) | |||||||
\(464\) | −9.80149 | −0.455023 | ||||||||
\(465\) | −8.32244 | − | 3.25152i | −0.385944 | − | 0.150786i | ||||
\(466\) | −11.6650 | −0.540371 | ||||||||
\(467\) | −5.94861 | − | 22.2005i | −0.275269 | − | 1.02732i | −0.955661 | − | 0.294469i | \(-0.904857\pi\) |
0.680392 | − | 0.732848i | \(-0.261810\pi\) | |||||||
\(468\) | −2.25719 | − | 3.35402i | −0.104339 | − | 0.155040i | ||||
\(469\) | 8.37383 | + | 4.88305i | 0.386668 | + | 0.225478i | ||||
\(470\) | 1.34920 | − | 4.76474i | 0.0622339 | − | 0.219781i | ||||
\(471\) | −15.8683 | + | 2.64688i | −0.731174 | + | 0.121962i | ||||
\(472\) | −1.44285 | + | 0.386611i | −0.0664126 | + | 0.0177952i | ||||
\(473\) | −1.79120 | + | 0.479951i | −0.0823596 | + | 0.0220682i | ||||
\(474\) | 6.59389 | − | 1.09988i | 0.302867 | − | 0.0505191i | ||||
\(475\) | −9.39401 | − | 0.265734i | −0.431027 | − | 0.0121927i | ||||
\(476\) | 0.0586192 | − | 13.5514i | 0.00268681 | − | 0.621129i | ||||
\(477\) | 0.132598 | − | 0.271143i | 0.00607126 | − | 0.0124148i | ||||
\(478\) | 0.118079 | + | 0.440678i | 0.00540082 | + | 0.0201561i | ||||
\(479\) | −39.0360 | −1.78360 | −0.891801 | − | 0.452428i | \(-0.850558\pi\) | ||||
−0.891801 | + | 0.452428i | \(0.850558\pi\) | |||||||
\(480\) | 3.54744 | − | 1.55424i | 0.161918 | − | 0.0709412i | ||||
\(481\) | 4.74144 | 0.216191 | ||||||||
\(482\) | −17.3324 | − | 4.64420i | −0.789468 | − | 0.211537i | ||||
\(483\) | 2.38804 | − | 23.6002i | 0.108660 | − | 1.07385i | ||||
\(484\) | −10.1953 | − | 5.88624i | −0.463421 | − | 0.267556i | ||||
\(485\) | −12.4054 | − | 22.2062i | −0.563302 | − | 1.00833i | ||||
\(486\) | 11.4653 | + | 10.5616i | 0.520077 | + | 0.479082i | ||||
\(487\) | 2.78753 | − | 10.4032i | 0.126315 | − | 0.471414i | −0.873568 | − | 0.486702i | \(-0.838200\pi\) |
0.999883 | + | 0.0152880i | \(0.00486651\pi\) | |||||||
\(488\) | 3.47958 | − | 12.9860i | 0.157513 | − | 0.587847i | ||||
\(489\) | −2.20041 | − | 13.1917i | −0.0995061 | − | 0.596550i | ||||
\(490\) | 15.6484 | + | 0.356710i | 0.706923 | + | 0.0161145i | ||||
\(491\) | 25.7279 | − | 14.8540i | 1.16108 | − | 0.670352i | 0.209520 | − | 0.977804i | \(-0.432810\pi\) |
0.951563 | + | 0.307453i | \(0.0994766\pi\) | |||||||
\(492\) | −9.18114 | − | 0.888911i | −0.413918 | − | 0.0400752i | ||||
\(493\) | −35.4991 | + | 35.4991i | −1.59880 | + | 1.59880i | ||||
\(494\) | −1.26645 | − | 2.19355i | −0.0569802 | − | 0.0986927i | ||||
\(495\) | −31.9642 | + | 1.74770i | −1.43668 | + | 0.0785533i | ||||
\(496\) | 2.30702 | 0.103588 | ||||||||
\(497\) | 26.6324 | − | 26.4030i | 1.19463 | − | 1.18434i | ||||
\(498\) | −7.79528 | − | 0.754734i | −0.349315 | − | 0.0338204i | ||||
\(499\) | − | 31.9478i | − | 1.43018i | −0.699032 | − | 0.715090i | \(-0.746386\pi\) | ||
0.699032 | − | 0.715090i | \(-0.253614\pi\) | |||||||
\(500\) | 2.43311 | + | 10.9124i | 0.108812 | + | 0.488016i | ||||
\(501\) | 36.0771 | + | 13.5103i | 1.61181 | + | 0.603595i | ||||
\(502\) | 0.714720 | − | 2.66737i | 0.0318995 | − | 0.119051i | ||||
\(503\) | −8.12773 | − | 8.12773i | −0.362398 | − | 0.362398i | 0.502297 | − | 0.864695i | \(-0.332488\pi\) |
−0.864695 | + | 0.502297i | \(0.832488\pi\) | |||||||
\(504\) | 1.55637 | − | 7.78317i | 0.0693261 | − | 0.346690i | ||||
\(505\) | −19.8816 | + | 5.02706i | −0.884719 | + | 0.223701i | ||||
\(506\) | 21.3921 | − | 12.3508i | 0.950996 | − | 0.549058i | ||||
\(507\) | −15.7645 | − | 11.2572i | −0.700125 | − | 0.499949i | ||||
\(508\) | −3.06798 | − | 11.4499i | −0.136120 | − | 0.508006i | ||||
\(509\) | −29.5759 | −1.31093 | −0.655463 | − | 0.755227i | \(-0.727527\pi\) | ||||
−0.655463 | + | 0.755227i | \(0.727527\pi\) | |||||||
\(510\) | 7.21897 | − | 18.4773i | 0.319661 | − | 0.818189i | ||||
\(511\) | −7.55258 | − | 13.2131i | −0.334107 | − | 0.584514i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 6.71161 | + | 7.09492i | 0.296325 | + | 0.313248i | ||||
\(514\) | 17.9823 | − | 10.3821i | 0.793166 | − | 0.457935i | ||||
\(515\) | −18.6434 | − | 11.1182i | −0.821525 | − | 0.489925i | ||||
\(516\) | 0.236043 | − | 0.630317i | 0.0103912 | − | 0.0277481i | ||||
\(517\) | 2.73530 | − | 10.2083i | 0.120298 | − | 0.448959i | ||||
\(518\) | 6.55381 | + | 6.61076i | 0.287958 | + | 0.290460i | ||||
\(519\) | 0.329523 | − | 0.879939i | 0.0144644 | − | 0.0386251i | ||||
\(520\) | −2.16067 | + | 2.10041i | −0.0947516 | + | 0.0921092i | ||||
\(521\) | 28.7925 | − | 16.6234i | 1.26142 | − | 0.728283i | 0.288073 | − | 0.957608i | \(-0.406985\pi\) |
0.973350 | + | 0.229325i | \(0.0736520\pi\) | |||||||
\(522\) | −24.3947 | + | 16.4172i | −1.06773 | + | 0.718559i | ||||
\(523\) | 1.45802 | + | 5.44141i | 0.0637548 | + | 0.237936i | 0.990449 | − | 0.137880i | \(-0.0440290\pi\) |
−0.926694 | + | 0.375817i | \(0.877362\pi\) | |||||||
\(524\) | −9.42856 | + | 16.3307i | −0.411889 | + | 0.713412i | ||||
\(525\) | 21.1843 | + | 8.73078i | 0.924558 | + | 0.381042i | ||||
\(526\) | 0.740355 | + | 1.28233i | 0.0322810 | + | 0.0559123i | ||||
\(527\) | 8.35560 | − | 8.35560i | 0.363975 | − | 0.363975i | ||||
\(528\) | 7.52303 | − | 3.42367i | 0.327398 | − | 0.148996i | ||||
\(529\) | 3.79394i | 0.164954i | ||||||||
\(530\) | −0.216460 | − | 0.0612934i | −0.00940241 | − | 0.00266242i | ||||
\(531\) | −2.94351 | + | 3.37895i | −0.127738 | + | 0.146634i | ||||
\(532\) | 1.30783 | − | 4.79777i | 0.0567016 | − | 0.208010i | ||||
\(533\) | 6.93216 | − | 1.85747i | 0.300265 | − | 0.0804558i | ||||
\(534\) | 18.9124 | − | 15.5735i | 0.818420 | − | 0.673932i | ||||
\(535\) | 31.6624 | − | 17.6882i | 1.36889 | − | 0.764726i | ||||
\(536\) | −3.17296 | − | 1.83191i | −0.137051 | − | 0.0791265i | ||||
\(537\) | 18.3871 | + | 40.4030i | 0.793461 | + | 1.74352i | ||||
\(538\) | 2.17416 | + | 8.11408i | 0.0937348 | + | 0.349823i | ||||
\(539\) | 33.4031 | + | 0.288988i | 1.43877 | + | 0.0124476i | ||||
\(540\) | 6.22582 | − | 9.81015i | 0.267917 | − | 0.422162i | ||||
\(541\) | −14.0679 | + | 24.3664i | −0.604827 | + | 1.04759i | 0.387251 | + | 0.921974i | \(0.373425\pi\) |
−0.992079 | + | 0.125618i | \(0.959909\pi\) | |||||||
\(542\) | 16.7809 | − | 16.7809i | 0.720802 | − | 0.720802i | ||||
\(543\) | −32.3962 | − | 3.13658i | −1.39026 | − | 0.134604i | ||||
\(544\) | 5.12201i | 0.219604i | ||||||||
\(545\) | 11.4050 | + | 11.7322i | 0.488537 | + | 0.502552i | ||||
\(546\) | 0.989695 | + | 6.09569i | 0.0423550 | + | 0.260871i | ||||
\(547\) | −39.9889 | + | 10.7150i | −1.70980 | + | 0.458141i | −0.975376 | − | 0.220547i | \(-0.929216\pi\) |
−0.734427 | + | 0.678687i | \(0.762549\pi\) | |||||||
\(548\) | −7.85469 | + | 2.10466i | −0.335536 | + | 0.0899065i | ||||
\(549\) | −13.0908 | − | 38.1486i | −0.558702 | − | 1.62814i | ||||
\(550\) | 5.52133 | + | 23.2126i | 0.235430 | + | 0.989790i | ||||
\(551\) | −15.9543 | + | 9.21121i | −0.679676 | + | 0.392411i | ||||
\(552\) | −0.864002 | + | 8.92386i | −0.0367744 | + | 0.379825i | ||||
\(553\) | −9.85202 | − | 2.68557i | −0.418951 | − | 0.114202i | ||||
\(554\) | −5.14010 | − | 8.90291i | −0.218382 | − | 0.378248i | ||||
\(555\) | 5.46847 | + | 12.4814i | 0.232124 | + | 0.529804i | ||||
\(556\) | −1.17435 | −0.0498036 | ||||||||
\(557\) | −4.40768 | − | 1.18103i | −0.186759 | − | 0.0500420i | 0.164227 | − | 0.986423i | \(-0.447487\pi\) |
−0.350986 | + | 0.936381i | \(0.614154\pi\) | |||||||
\(558\) | 5.74189 | − | 3.86418i | 0.243074 | − | 0.163584i | ||||
\(559\) | 0.523672i | 0.0221489i | ||||||||
\(560\) | −5.91507 | − | 0.109238i | −0.249957 | − | 0.00461616i | ||||
\(561\) | 14.8471 | − | 39.6468i | 0.626844 | − | 1.67389i | ||||
\(562\) | −13.1761 | − | 13.1761i | −0.555800 | − | 0.555800i | ||||
\(563\) | −20.3327 | + | 5.44814i | −0.856922 | + | 0.229612i | −0.660424 | − | 0.750893i | \(-0.729624\pi\) |
−0.196498 | + | 0.980504i | \(0.562957\pi\) | |||||||
\(564\) | 2.43836 | + | 2.96113i | 0.102673 | + | 0.124686i | ||||
\(565\) | −35.2271 | − | 0.498145i | −1.48201 | − | 0.0209571i | ||||
\(566\) | 3.95597i | 0.166282i | ||||||||
\(567\) | −9.16293 | − | 21.9782i | −0.384807 | − | 0.922997i | ||||
\(568\) | −10.0228 | + | 10.0228i | −0.420549 | + | 0.420549i | ||||
\(569\) | 4.72767 | + | 8.18856i | 0.198194 | + | 0.343282i | 0.947943 | − | 0.318440i | \(-0.103159\pi\) |
−0.749749 | + | 0.661723i | \(0.769826\pi\) | |||||||
\(570\) | 4.31367 | − | 5.86371i | 0.180680 | − | 0.245604i | ||||
\(571\) | −10.5897 | + | 18.3419i | −0.443165 | + | 0.767585i | −0.997922 | − | 0.0644275i | \(-0.979478\pi\) |
0.554757 | + | 0.832012i | \(0.312811\pi\) | |||||||
\(572\) | −4.54730 | + | 4.54730i | −0.190132 | + | 0.190132i | ||||
\(573\) | −0.291477 | + | 0.132649i | −0.0121766 | + | 0.00554148i | ||||
\(574\) | 12.1717 | + | 7.09772i | 0.508037 | + | 0.296253i | ||||
\(575\) | −24.8001 | − | 7.40282i | −1.03424 | − | 0.308719i | ||||
\(576\) | −0.575521 | + | 2.94428i | −0.0239800 | + | 0.122678i | ||||
\(577\) | −5.18377 | + | 19.3461i | −0.215803 | + | 0.805389i | 0.770079 | + | 0.637949i | \(0.220217\pi\) |
−0.985882 | + | 0.167440i | \(0.946450\pi\) | |||||||
\(578\) | 6.53012 | + | 6.53012i | 0.271617 | + | 0.271617i | ||||
\(579\) | 1.93522 | + | 11.6019i | 0.0804250 | + | 0.482156i | ||||
\(580\) | 15.2768 | + | 15.7151i | 0.634336 | + | 0.652534i | ||||
\(581\) | 10.3344 | + | 6.02634i | 0.428745 | + | 0.250015i | ||||
\(582\) | 19.6112 | + | 1.89875i | 0.812912 | + | 0.0787055i | ||||
\(583\) | −0.463756 | − | 0.124263i | −0.0192068 | − | 0.00514645i | ||||
\(584\) | 2.87618 | + | 4.98170i | 0.119017 | + | 0.206144i | ||||
\(585\) | −1.85951 | + | 8.84670i | −0.0768814 | + | 0.365766i | ||||
\(586\) | 15.2368 | − | 26.3910i | 0.629428 | − | 1.09020i | ||||
\(587\) | −4.74776 | − | 17.7189i | −0.195961 | − | 0.731336i | −0.992016 | − | 0.126112i | \(-0.959750\pi\) |
0.796055 | − | 0.605224i | \(-0.206917\pi\) | |||||||
\(588\) | −7.13093 | + | 9.80560i | −0.294075 | + | 0.404376i | ||||
\(589\) | 3.75524 | − | 2.16809i | 0.154732 | − | 0.0893345i | ||||
\(590\) | 2.86873 | + | 1.71080i | 0.118104 | + | 0.0704323i | ||||
\(591\) | −26.3175 | + | 21.6713i | −1.08256 | + | 0.891438i | ||||
\(592\) | −2.48789 | − | 2.48789i | −0.102252 | − | 0.102252i | ||||
\(593\) | −11.9655 | + | 3.20616i | −0.491366 | + | 0.131661i | −0.495990 | − | 0.868328i | \(-0.665195\pi\) |
0.00462398 | + | 0.999989i | \(0.498528\pi\) | |||||||
\(594\) | 12.9893 | − | 21.1219i | 0.532959 | − | 0.866641i | ||||
\(595\) | −21.8189 | + | 21.0276i | −0.894487 | + | 0.862048i | ||||
\(596\) | −11.5829 | − | 6.68740i | −0.474455 | − | 0.273927i | ||||
\(597\) | −35.2984 | + | 16.0640i | −1.44467 | + | 0.657456i | ||||
\(598\) | −1.80542 | − | 6.73791i | −0.0738290 | − | 0.275534i | ||||
\(599\) | 5.56820 | − | 9.64441i | 0.227511 | − | 0.394060i | −0.729559 | − | 0.683918i | \(-0.760275\pi\) |
0.957070 | + | 0.289858i | \(0.0936080\pi\) | |||||||
\(600\) | −8.02110 | − | 3.26526i | −0.327460 | − | 0.133304i | ||||
\(601\) | −5.99957 | + | 10.3916i | −0.244728 | + | 0.423881i | −0.962055 | − | 0.272856i | \(-0.912032\pi\) |
0.717327 | + | 0.696736i | \(0.245365\pi\) | |||||||
\(602\) | −0.730130 | + | 0.723841i | −0.0297579 | + | 0.0295016i | ||||
\(603\) | −10.9655 | + | 0.755206i | −0.446550 | + | 0.0307544i | ||||
\(604\) | 2.39113 | + | 1.38052i | 0.0972936 | + | 0.0561725i | ||||
\(605\) | 6.45296 | + | 25.5209i | 0.262350 | + | 1.03757i | ||||
\(606\) | 5.57082 | − | 14.8760i | 0.226299 | − | 0.604296i | ||||
\(607\) | 9.89745 | + | 9.89745i | 0.401725 | + | 0.401725i | 0.878841 | − | 0.477115i | \(-0.158318\pi\) |
−0.477115 | + | 0.878841i | \(0.658318\pi\) | |||||||
\(608\) | −0.486464 | + | 1.81551i | −0.0197287 | + | 0.0736286i | ||||
\(609\) | 44.3355 | − | 7.19831i | 1.79657 | − | 0.291690i | ||||
\(610\) | −26.2442 | + | 14.6613i | −1.06260 | + | 0.593619i | ||||
\(611\) | −2.58462 | − | 1.49223i | −0.104562 | − | 0.0603692i | ||||
\(612\) | 8.57919 | + | 12.7480i | 0.346793 | + | 0.515309i | ||||
\(613\) | 7.86376 | + | 2.10709i | 0.317614 | + | 0.0851045i | 0.414104 | − | 0.910229i | \(-0.364095\pi\) |
−0.0964899 | + | 0.995334i | \(0.530762\pi\) | |||||||
\(614\) | −3.20242 | − | 5.54675i | −0.129239 | − | 0.223849i | ||||
\(615\) | 12.8847 | + | 16.1059i | 0.519562 | + | 0.649454i | ||||
\(616\) | −12.6255 | − | 0.0546140i | −0.508698 | − | 0.00220046i | ||||
\(617\) | 14.6158 | + | 3.91629i | 0.588410 | + | 0.157664i | 0.540726 | − | 0.841199i | \(-0.318149\pi\) |
0.0476836 | + | 0.998862i | \(0.484816\pi\) | |||||||
\(618\) | 15.3038 | − | 6.96465i | 0.615610 | − | 0.280159i | ||||
\(619\) | 22.5924i | 0.908064i | 0.890985 | + | 0.454032i | \(0.150015\pi\) | ||||
−0.890985 | + | 0.454032i | \(0.849985\pi\) | |||||||
\(620\) | −3.59578 | − | 3.69894i | −0.144410 | − | 0.148553i | ||||
\(621\) | 12.7968 | + | 23.6575i | 0.513516 | + | 0.949344i | ||||
\(622\) | −15.3491 | − | 15.3491i | −0.615443 | − | 0.615443i | ||||
\(623\) | −36.1896 | + | 9.52939i | −1.44991 | + | 0.381787i | ||||
\(624\) | −0.384032 | − | 2.30231i | −0.0153736 | − | 0.0921663i | ||||
\(625\) | 13.7039 | − | 20.9094i | 0.548157 | − | 0.836376i | ||||
\(626\) | 29.0371 | + | 16.7646i | 1.16056 | + | 0.670048i | ||||
\(627\) | 9.02805 | − | 12.6428i | 0.360546 | − | 0.504905i | ||||
\(628\) | −8.97167 | − | 2.40395i | −0.358009 | − | 0.0959281i | ||||
\(629\) | −18.0213 | −0.718558 | ||||||||
\(630\) | −14.9048 | + | 9.63566i | −0.593823 | + | 0.383894i | ||||
\(631\) | 5.51476 | 0.219539 | 0.109770 | − | 0.993957i | \(-0.464989\pi\) | ||||
0.109770 | + | 0.993957i | \(0.464989\pi\) | |||||||
\(632\) | 3.72807 | + | 0.998933i | 0.148295 | + | 0.0397354i | ||||
\(633\) | −5.20756 | − | 11.4429i | −0.206982 | − | 0.454813i | ||||
\(634\) | 29.2669 | + | 16.8973i | 1.16234 | + | 0.671076i | ||||
\(635\) | −13.5762 | + | 22.7650i | −0.538754 | + | 0.903403i | ||||
\(636\) | 0.134523 | − | 0.110773i | 0.00533417 | − | 0.00439244i | ||||
\(637\) | 2.52024 | − | 9.09035i | 0.0998556 | − | 0.360173i | ||||
\(638\) | 33.0737 | + | 33.0737i | 1.30940 | + | 1.30940i | ||||
\(639\) | −8.15769 | + | 41.7335i | −0.322713 | + | 1.65095i | ||||
\(640\) | 2.23584 | + | 0.0316170i | 0.0883795 | + | 0.00124977i | ||||
\(641\) | 45.9142i | 1.81350i | 0.421668 | + | 0.906750i | \(0.361445\pi\) | ||||
−0.421668 | + | 0.906750i | \(0.638555\pi\) | |||||||
\(642\) | −2.70730 | + | 27.9624i | −0.106849 | + | 1.10359i | ||||
\(643\) | −10.4650 | − | 2.80408i | −0.412698 | − | 0.110582i | 0.0464953 | − | 0.998919i | \(-0.485195\pi\) |
−0.459193 | + | 0.888336i | \(0.651861\pi\) | |||||||
\(644\) | 6.89882 | − | 11.8306i | 0.271852 | − | 0.466192i | ||||
\(645\) | −1.37851 | + | 0.603970i | −0.0542789 | + | 0.0237813i | ||||
\(646\) | 4.81355 | + | 8.33731i | 0.189386 | + | 0.328027i | ||||
\(647\) | −7.27052 | − | 1.94813i | −0.285834 | − | 0.0765889i | 0.113054 | − | 0.993589i | \(-0.463937\pi\) |
−0.398887 | + | 0.917000i | \(0.630603\pi\) | |||||||
\(648\) | 3.49916 | + | 8.29191i | 0.137460 | + | 0.325737i | ||||
\(649\) | 6.17324 | + | 3.56412i | 0.242321 | + | 0.139904i | ||||
\(650\) | 6.73534 | + | 0.190527i | 0.264182 | + | 0.00747307i | ||||
\(651\) | −10.4355 | + | 1.69430i | −0.408998 | + | 0.0664048i | ||||
\(652\) | 1.99846 | − | 7.45837i | 0.0782658 | − | 0.292092i | ||||
\(653\) | 9.90526 | + | 9.90526i | 0.387623 | + | 0.387623i | 0.873839 | − | 0.486216i | \(-0.161623\pi\) |
−0.486216 | + | 0.873839i | \(0.661623\pi\) | |||||||
\(654\) | −12.5013 | + | 2.08525i | −0.488840 | + | 0.0815399i | ||||
\(655\) | 40.8793 | − | 10.3363i | 1.59729 | − | 0.403874i | ||||
\(656\) | −4.61203 | − | 2.66276i | −0.180070 | − | 0.103963i | ||||
\(657\) | 15.5026 | + | 7.58131i | 0.604815 | + | 0.295775i | ||||
\(658\) | −1.49202 | − | 5.66624i | −0.0581651 | − | 0.220893i | ||||
\(659\) | −5.17959 | + | 8.97131i | −0.201768 | + | 0.349473i | −0.949098 | − | 0.314980i | \(-0.898002\pi\) |
0.747330 | + | 0.664453i | \(0.231335\pi\) | |||||||
\(660\) | −17.2149 | − | 6.72574i | −0.670088 | − | 0.261799i | ||||
\(661\) | 9.39549 | − | 16.2735i | 0.365442 | − | 0.632965i | −0.623405 | − | 0.781899i | \(-0.714251\pi\) |
0.988847 | + | 0.148935i | \(0.0475844\pi\) | |||||||
\(662\) | 2.66338 | + | 9.93987i | 0.103515 | + | 0.386324i | ||||
\(663\) | −9.72943 | − | 6.94765i | −0.377860 | − | 0.269824i | ||||
\(664\) | −3.91587 | − | 2.26083i | −0.151965 | − | 0.0877371i | ||||
\(665\) | −9.73086 | + | 5.38103i | −0.377347 | + | 0.208668i | ||||
\(666\) | −10.3592 | − | 2.02492i | −0.401410 | − | 0.0784640i | ||||
\(667\) | −49.0066 | + | 13.1313i | −1.89754 | + | 0.508445i | ||||
\(668\) | 15.7273 | + | 15.7273i | 0.608507 | + | 0.608507i | ||||
\(669\) | −3.37042 | − | 20.2060i | −0.130308 | − | 0.781210i | ||||
\(670\) | 2.00829 | + | 7.94259i | 0.0775869 | + | 0.306849i | ||||
\(671\) | −55.5605 | + | 32.0779i | −2.14489 | + | 1.23835i | ||||
\(672\) | 2.67918 | − | 3.71779i | 0.103352 | − | 0.143417i | ||||
\(673\) | 1.06797 | + | 3.98572i | 0.0411673 | + | 0.153638i | 0.983450 | − | 0.181180i | \(-0.0579917\pi\) |
−0.942283 | + | 0.334818i | \(0.891325\pi\) | |||||||
\(674\) | −9.70091 | + | 16.8025i | −0.373665 | + | 0.647207i | ||||
\(675\) | −25.4327 | + | 5.30825i | −0.978905 | + | 0.204315i | ||||
\(676\) | −5.59198 | − | 9.68559i | −0.215076 | − | 0.372523i | ||||
\(677\) | −34.3025 | − | 9.19133i | −1.31835 | − | 0.353251i | −0.469992 | − | 0.882671i | \(-0.655743\pi\) |
−0.848360 | + | 0.529419i | \(0.822410\pi\) | |||||||
\(678\) | 15.8588 | − | 22.2085i | 0.609052 | − | 0.852911i | ||||
\(679\) | −25.9992 | − | 15.1610i | −0.997758 | − | 0.581825i | ||||
\(680\) | 8.21231 | − | 7.98329i | 0.314928 | − | 0.306145i | ||||
\(681\) | 23.4621 | − | 19.3200i | 0.899070 | − | 0.740344i | ||||
\(682\) | −7.78470 | − | 7.78470i | −0.298092 | − | 0.298092i | ||||
\(683\) | 1.85397 | − | 6.91910i | 0.0709401 | − | 0.264752i | −0.921342 | − | 0.388753i | \(-0.872906\pi\) |
0.992282 | + | 0.124001i | \(0.0395726\pi\) | |||||||
\(684\) | 1.83017 | + | 5.33338i | 0.0699781 | + | 0.203927i | ||||
\(685\) | 15.6170 | + | 9.31334i | 0.596694 | + | 0.355845i | ||||
\(686\) | 16.1578 | − | 9.05122i | 0.616909 | − | 0.345577i | ||||
\(687\) | −2.46627 | + | 25.4729i | −0.0940940 | + | 0.971852i | ||||
\(688\) | 0.274777 | − | 0.274777i | 0.0104758 | − | 0.0104758i | ||||
\(689\) | −0.0677913 | + | 0.117418i | −0.00258264 | + | 0.00447327i | ||||
\(690\) | 15.6546 | − | 12.5237i | 0.595961 | − | 0.476768i | ||||
\(691\) | −6.18170 | − | 10.7070i | −0.235163 | − | 0.407315i | 0.724157 | − | 0.689635i | \(-0.242229\pi\) |
−0.959320 | + | 0.282321i | \(0.908896\pi\) | |||||||
\(692\) | 0.383597 | − | 0.383597i | 0.0145822 | − | 0.0145822i | ||||
\(693\) | −31.5149 | + | 21.0114i | −1.19715 | + | 0.798158i | ||||
\(694\) | − | 11.6370i | − | 0.441735i | ||||||
\(695\) | 1.83037 | + | 1.88288i | 0.0694299 | + | 0.0714217i | ||||
\(696\) | −16.7453 | + | 2.79316i | −0.634730 | + | 0.105875i | ||||
\(697\) | −26.3479 | + | 7.05990i | −0.997998 | + | 0.267413i | ||||
\(698\) | −13.4999 | − | 13.4999i | −0.510979 | − | 0.510979i | ||||
\(699\) | −19.9291 | + | 3.32422i | −0.753786 | + | 0.125734i | ||||
\(700\) | 9.04423 | + | 9.65412i | 0.341840 | + | 0.364891i | ||||
\(701\) | 19.0727i | 0.720365i | 0.932882 | + | 0.360183i | \(0.117286\pi\) | ||||
−0.932882 | + | 0.360183i | \(0.882714\pi\) | |||||||
\(702\) | −4.81210 | − | 5.08693i | −0.181621 | − | 0.191994i | ||||
\(703\) | −6.38771 | − | 1.71158i | −0.240917 | − | 0.0645535i | ||||
\(704\) | 4.77205 | 0.179853 | ||||||||
\(705\) | 0.947210 | − | 8.52480i | 0.0356740 | − | 0.321062i | ||||
\(706\) | −6.67742 | − | 11.5656i | −0.251308 | − | 0.435278i | ||||
\(707\) | −17.2317 | + | 17.0833i | −0.648064 | + | 0.642482i | ||||
\(708\) | −2.35486 | + | 1.07168i | −0.0885010 | + | 0.0402761i | ||||
\(709\) | −14.6607 | + | 8.46438i | −0.550596 | + | 0.317887i | −0.749362 | − | 0.662160i | \(-0.769640\pi\) |
0.198767 | + | 0.980047i | \(0.436306\pi\) | |||||||
\(710\) | 31.6919 | + | 0.448154i | 1.18937 | + | 0.0168189i | ||||
\(711\) | 10.9519 | − | 3.75817i | 0.410727 | − | 0.140942i | ||||
\(712\) | 13.6627 | − | 3.66091i | 0.512031 | − | 0.137198i | ||||
\(713\) | 11.5349 | − | 3.09077i | 0.431986 | − | 0.115750i | ||||
\(714\) | −3.76165 | − | 23.1686i | −0.140776 | − | 0.867064i | ||||
\(715\) | 14.3784 | + | 0.203324i | 0.537721 | + | 0.00760390i | ||||
\(716\) | 25.6287i | 0.957789i | ||||||||
\(717\) | 0.327314 | + | 0.719225i | 0.0122238 | + | 0.0268600i | ||||
\(718\) | 6.84319 | − | 6.84319i | 0.255386 | − | 0.255386i | ||||
\(719\) | 21.5142 | − | 37.2636i | 0.802343 | − | 1.38970i | −0.115727 | − | 0.993281i | \(-0.536920\pi\) |
0.918070 | − | 0.396418i | \(-0.129747\pi\) | |||||||
\(720\) | 5.61769 | − | 3.66627i | 0.209359 | − | 0.136634i | ||||
\(721\) | −25.6837 | − | 0.111099i | −0.956511 | − | 0.00413756i | ||||
\(722\) | −4.00323 | − | 14.9402i | −0.148985 | − | 0.556018i | ||||
\(723\) | −30.9349 | − | 2.99510i | −1.15048 | − | 0.111389i | ||||
\(724\) | −16.2739 | − | 9.39572i | −0.604813 | − | 0.349189i | ||||
\(725\) | 1.38575 | − | 48.9879i | 0.0514655 | − | 1.81936i | ||||
\(726\) | −19.0955 | − | 7.15094i | −0.708700 | − | 0.265396i | ||||
\(727\) | 28.2353 | − | 7.56562i | 1.04719 | − | 0.280593i | 0.306099 | − | 0.952000i | \(-0.400976\pi\) |
0.741089 | + | 0.671406i | \(0.234309\pi\) | |||||||
\(728\) | −0.937690 | + | 3.43992i | −0.0347531 | + | 0.127492i | ||||
\(729\) | 22.5976 | + | 14.7766i | 0.836950 | + | 0.547280i | ||||
\(730\) | 3.50445 | − | 12.3761i | 0.129706 | − | 0.458060i | ||||
\(731\) | − | 1.99038i | − | 0.0736169i | ||||||
\(732\) | 2.24402 | − | 23.1774i | 0.0829414 | − | 0.856662i | ||||
\(733\) | −6.00335 | + | 6.00335i | −0.221739 | + | 0.221739i | −0.809230 | − | 0.587492i | \(-0.800116\pi\) |
0.587492 | + | 0.809230i | \(0.300116\pi\) | |||||||
\(734\) | 9.13805 | + | 15.8276i | 0.337292 | + | 0.584206i | ||||
\(735\) | 26.8361 | − | 3.84996i | 0.989866 | − | 0.142008i | ||||
\(736\) | −2.58814 | + | 4.48280i | −0.0954002 | + | 0.165238i | ||||
\(737\) | 4.52518 | + | 16.8882i | 0.166687 | + | 0.622085i | ||||
\(738\) | −15.9388 | + | 1.09772i | −0.586715 | + | 0.0404077i | ||||
\(739\) | 21.2221 | − | 12.2526i | 0.780668 | − | 0.450719i | −0.0559990 | − | 0.998431i | \(-0.517834\pi\) |
0.836667 | + | 0.547712i | \(0.184501\pi\) | |||||||
\(740\) | −0.111242 | + | 7.86662i | −0.00408933 | + | 0.289183i | ||||
\(741\) | −2.78877 | − | 3.38667i | −0.102448 | − | 0.124412i | ||||
\(742\) | −0.257414 | + | 0.0677819i | −0.00944997 | + | 0.00248835i | ||||
\(743\) | −4.42277 | + | 16.5060i | −0.162256 | + | 0.605546i | 0.836119 | + | 0.548549i | \(0.184819\pi\) |
−0.998374 | + | 0.0569978i | \(0.981847\pi\) | |||||||
\(744\) | 3.94143 | − | 0.657440i | 0.144500 | − | 0.0241029i | ||||
\(745\) | 7.33126 | + | 28.9945i | 0.268596 | + | 1.06228i | ||||
\(746\) | 11.9712 | − | 6.91157i | 0.438296 | − | 0.253050i | ||||
\(747\) | −13.5329 | + | 0.932026i | −0.495143 | + | 0.0341011i | ||||
\(748\) | 17.2835 | − | 17.2835i | 0.631946 | − | 0.631946i | ||||
\(749\) | 21.6171 | − | 37.0706i | 0.789871 | − | 1.35453i | ||||
\(750\) | 7.26657 | + | 17.9498i | 0.265338 | + | 0.655436i | ||||
\(751\) | −14.6846 | −0.535850 | −0.267925 | − | 0.963440i | \(-0.586338\pi\) | ||||
−0.267925 | + | 0.963440i | \(0.586338\pi\) | |||||||
\(752\) | 0.573191 | + | 2.13918i | 0.0209021 | + | 0.0780077i | ||||
\(753\) | 0.460931 | − | 4.76074i | 0.0167973 | − | 0.173491i | ||||
\(754\) | 11.4389 | − | 6.60428i | 0.416582 | − | 0.240514i | ||||
\(755\) | −1.51343 | − | 5.98550i | −0.0550795 | − | 0.217834i | ||||
\(756\) | 0.440973 | − | 13.7407i | 0.0160380 | − | 0.499743i | ||||
\(757\) | −19.7572 | − | 19.7572i | −0.718089 | − | 0.718089i | 0.250125 | − | 0.968214i | \(-0.419528\pi\) |
−0.968214 | + | 0.250125i | \(0.919528\pi\) | |||||||
\(758\) | 2.61200 | − | 9.74811i | 0.0948721 | − | 0.354067i | ||||
\(759\) | 33.0277 | − | 27.1968i | 1.19883 | − | 0.987181i | ||||
\(760\) | 3.66909 | − | 2.04973i | 0.133092 | − | 0.0743515i | ||||
\(761\) | − | 25.0585i | − | 0.908372i | −0.890907 | − | 0.454186i | \(-0.849930\pi\) | ||
0.890907 | − | 0.454186i | \(-0.150070\pi\) | |||||||
\(762\) | −8.50439 | − | 18.6872i | −0.308082 | − | 0.676966i | ||||
\(763\) | 18.6784 | + | 5.09156i | 0.676203 | + | 0.184327i | ||||
\(764\) | −0.184891 | −0.00668913 | ||||||||
\(765\) | 7.06768 | − | 33.6247i | 0.255532 | − | 1.21570i | ||||
\(766\) | 2.84938 | + | 4.93526i | 0.102952 | + | 0.178318i | ||||
\(767\) | 1.42340 | − | 1.42340i | 0.0513958 | − | 0.0513958i | ||||
\(768\) | −1.00655 | + | 1.40956i | −0.0363207 | + | 0.0508631i | ||||
\(769\) | −45.1967 | + | 26.0943i | −1.62983 | + | 0.940985i | −0.645693 | + | 0.763597i | \(0.723431\pi\) |
−0.984141 | + | 0.177388i | \(0.943235\pi\) | |||||||
\(770\) | 19.5909 | + | 20.3281i | 0.706007 | + | 0.732575i | ||||
\(771\) | 27.7632 | − | 22.8617i | 0.999868 | − | 0.823346i | ||||
\(772\) | −1.75761 | + | 6.55948i | −0.0632577 | + | 0.236081i | ||||
\(773\) | 4.22197 | − | 15.7566i | 0.151854 | − | 0.566725i | −0.847501 | − | 0.530794i | \(-0.821894\pi\) |
0.999354 | − | 0.0359309i | \(-0.0114396\pi\) | |||||||
\(774\) | 0.223644 | − | 1.14413i | 0.00803871 | − | 0.0411248i | ||||
\(775\) | −0.326171 | + | 11.5305i | −0.0117164 | + | 0.414188i | ||||
\(776\) | 9.85147 | + | 5.68775i | 0.353647 | + | 0.204178i | ||||
\(777\) | 13.0807 | + | 9.42647i | 0.469269 | + | 0.338173i | ||||
\(778\) | −32.1773 | − | 8.62188i | −1.15361 | − | 0.309109i | ||||
\(779\) | −10.0096 | −0.358631 | ||||||||
\(780\) | −3.09282 | + | 4.20417i | −0.110741 | + | 0.150534i | ||||
\(781\) | 67.6412 | 2.42039 | ||||||||
\(782\) | 6.86207 | + | 25.6096i | 0.245387 | + | 0.915797i | ||||
\(783\) | −36.9986 | + | 34.9997i | −1.32222 | + | 1.25079i | ||||
\(784\) | −6.09223 | + | 3.44742i | −0.217580 | + | 0.123122i | ||||
\(785\) | 10.1291 | + | 18.1315i | 0.361524 | + | 0.647140i | ||||
\(786\) | −11.4544 | + | 30.5871i | −0.408564 | + | 1.09101i | ||||
\(787\) | −11.3073 | + | 3.02977i | −0.403060 | + | 0.108000i | −0.454653 | − | 0.890669i | \(-0.650237\pi\) |
0.0515931 | + | 0.998668i | \(0.483570\pi\) | |||||||
\(788\) | −19.0123 | + | 5.09432i | −0.677284 | + | 0.181478i | ||||
\(789\) | 1.63029 | + | 1.97981i | 0.0580397 | + | 0.0704832i | ||||
\(790\) | −4.20903 | − | 7.53432i | −0.149751 | − | 0.268059i | ||||
\(791\) | −36.1904 | + | 20.6863i | −1.28678 | + | 0.735521i | ||||
\(792\) | 11.8770 | − | 7.99302i | 0.422032 | − | 0.284020i | ||||
\(793\) | 4.68910 | + | 17.5000i | 0.166515 | + | 0.621442i | ||||
\(794\) | 11.9818 | 0.425217 | ||||||||
\(795\) | −0.387277 | − | 0.0430313i | −0.0137353 | − | 0.00152616i | ||||
\(796\) | −22.3907 | −0.793617 | ||||||||
\(797\) | −18.2238 | − | 4.88305i | −0.645520 | − | 0.172967i | −0.0788175 | − | 0.996889i | \(-0.525114\pi\) |
−0.566703 | + | 0.823922i | \(0.691781\pi\) | |||||||
\(798\) | 0.867118 | − | 8.56944i | 0.0306957 | − | 0.303355i | ||||
\(799\) | 9.82367 | + | 5.67170i | 0.347537 | + | 0.200650i | ||||
\(800\) | −3.43415 | − | 3.63409i | −0.121415 | − | 0.128485i | ||||
\(801\) | 27.8728 | − | 31.9961i | 0.984838 | − | 1.13053i | ||||
\(802\) | 9.96457 | − | 37.1883i | 0.351861 | − | 1.31316i | ||||
\(803\) | 7.10474 | − | 26.5152i | 0.250721 | − | 0.935703i | ||||
\(804\) | −5.94289 | − | 2.22551i | −0.209589 | − | 0.0784878i | ||||
\(805\) | −29.7212 | + | 7.37837i | −1.04753 | + | 0.260053i | ||||
\(806\) | −2.69244 | + | 1.55448i | −0.0948371 | + | 0.0547542i | ||||
\(807\) | 6.02674 | + | 13.2429i | 0.212151 | + | 0.466172i | ||||
\(808\) | 6.48498 | − | 6.48498i | 0.228141 | − | 0.228141i | ||||
\(809\) | −19.1875 | − | 33.2338i | −0.674598 | − | 1.16844i | −0.976586 | − | 0.215127i | \(-0.930984\pi\) |
0.301988 | − | 0.953312i | \(-0.402350\pi\) | |||||||
\(810\) | 7.84086 | − | 18.5343i | 0.275500 | − | 0.651230i | ||||
\(811\) | 27.8982 | 0.979639 | 0.489819 | − | 0.871824i | \(-0.337063\pi\) | ||||
0.489819 | + | 0.871824i | \(0.337063\pi\) | |||||||
\(812\) | 25.0194 | + | 6.82006i | 0.878009 | + | 0.239337i | ||||
\(813\) | 23.8872 | − | 33.4514i | 0.837760 | − | 1.17319i | ||||
\(814\) | 16.7900i | 0.588491i | ||||||||
\(815\) | −15.0731 | + | 8.42058i | −0.527989 | + | 0.294960i | ||||
\(816\) | 1.45964 | + | 8.75068i | 0.0510975 | + | 0.306335i | ||||
\(817\) | 0.189037 | − | 0.705496i | 0.00661357 | − | 0.0246822i | ||||
\(818\) | −3.88157 | − | 3.88157i | −0.135716 | − | 0.135716i | ||||
\(819\) | 3.42795 | + | 10.1321i | 0.119782 | + | 0.354045i | ||||
\(820\) | 2.91913 | + | 11.5449i | 0.101940 | + | 0.403165i | ||||
\(821\) | 35.8029 | − | 20.6708i | 1.24953 | − | 0.721416i | 0.278513 | − | 0.960432i | \(-0.410158\pi\) |
0.971015 | + | 0.239017i | \(0.0768252\pi\) | |||||||
\(822\) | −12.8195 | + | 5.83407i | −0.447133 | + | 0.203487i | ||||
\(823\) | −6.56035 | − | 24.4836i | −0.228679 | − | 0.853443i | −0.980897 | − | 0.194528i | \(-0.937682\pi\) |
0.752217 | − | 0.658915i | \(-0.228984\pi\) | |||||||
\(824\) | 9.70762 | 0.338181 | ||||||||
\(825\) | 16.0479 | + | 38.0841i | 0.558716 | + | 1.32592i | ||||
\(826\) | 3.95205 | + | 0.0170953i | 0.137509 | + | 0.000594822i | ||||
\(827\) | −21.3177 | + | 21.3177i | −0.741288 | + | 0.741288i | −0.972826 | − | 0.231538i | \(-0.925624\pi\) |
0.231538 | + | 0.972826i | \(0.425624\pi\) | |||||||
\(828\) | 1.06696 | + | 15.4922i | 0.0370795 | + | 0.538390i | ||||
\(829\) | −7.89081 | + | 4.55576i | −0.274059 | + | 0.158228i | −0.630731 | − | 0.776002i | \(-0.717245\pi\) |
0.356672 | + | 0.934230i | \(0.383911\pi\) | |||||||
\(830\) | 2.47850 | + | 9.80223i | 0.0860299 | + | 0.340241i | ||||
\(831\) | −11.3187 | − | 13.7454i | −0.392640 | − | 0.476821i | ||||
\(832\) | 0.348786 | − | 1.30169i | 0.0120920 | − | 0.0451279i | ||||
\(833\) | −9.57898 | + | 34.5508i | −0.331892 | + | 1.19711i | ||||
\(834\) | −2.00632 | + | 0.334659i | −0.0694730 | + | 0.0115883i | ||||
\(835\) | 0.703219 | − | 49.7291i | 0.0243359 | − | 1.72095i | ||||
\(836\) | 7.76766 | − | 4.48466i | 0.268650 | − | 0.155105i | ||||
\(837\) | 8.70852 | − | 8.23804i | 0.301011 | − | 0.284748i | ||||
\(838\) | 2.69190 | + | 10.0463i | 0.0929900 | + | 0.347043i | ||||
\(839\) | 5.10398 | − | 8.84035i | 0.176209 | − | 0.305203i | −0.764370 | − | 0.644778i | \(-0.776950\pi\) |
0.940579 | + | 0.339575i | \(0.110283\pi\) | |||||||
\(840\) | −10.1367 | + | 1.49901i | −0.349750 | + | 0.0517208i | ||||
\(841\) | −33.5346 | − | 58.0837i | −1.15637 | − | 2.00288i | ||||
\(842\) | 3.74978 | − | 3.74978i | 0.129226 | − | 0.129226i | ||||
\(843\) | −26.2655 | − | 18.7558i | −0.904632 | − | 0.645985i | ||||
\(844\) | − | 7.25851i | − | 0.249848i | ||||||
\(845\) | −6.81348 | + | 24.0620i | −0.234391 | + | 0.827759i | ||||
\(846\) | 5.00964 | + | 4.36407i | 0.172235 | + | 0.150040i | ||||
\(847\) | 21.9288 | + | 22.1193i | 0.753483 | + | 0.760030i | ||||
\(848\) | 0.0971817 | − | 0.0260397i | 0.00333723 | − | 0.000894209i | ||||
\(849\) | 1.12735 | + | 6.75856i | 0.0386904 | + | 0.231953i | ||||
\(850\) | −25.5998 | − | 0.724158i | −0.878066 | − | 0.0248384i | ||||
\(851\) | −15.7723 | − | 9.10616i | −0.540668 | − | 0.312155i | ||||
\(852\) | −14.2673 | + | 19.9797i | −0.488788 | + | 0.684495i | ||||
\(853\) | −0.544167 | − | 2.03086i | −0.0186319 | − | 0.0695353i | 0.955984 | − | 0.293419i | \(-0.0947931\pi\) |
−0.974616 | + | 0.223884i | \(0.928126\pi\) | |||||||
\(854\) | −17.9179 | + | 30.7270i | −0.613138 | + | 1.05146i | ||||
\(855\) | 5.69867 | − | 11.2471i | 0.194891 | − | 0.384643i | ||||
\(856\) | −8.10981 | + | 14.0466i | −0.277187 | + | 0.480103i | ||||
\(857\) | −20.3779 | + | 20.3779i | −0.696095 | + | 0.696095i | −0.963566 | − | 0.267471i | \(-0.913812\pi\) |
0.267471 | + | 0.963566i | \(0.413812\pi\) | |||||||
\(858\) | −6.47295 | + | 9.06467i | −0.220983 | + | 0.309463i | ||||
\(859\) | − | 41.5438i | − | 1.41746i | −0.705482 | − | 0.708728i | \(-0.749269\pi\) | ||
0.705482 | − | 0.708728i | \(-0.250731\pi\) | |||||||
\(860\) | −0.868835 | − | 0.0122862i | −0.0296270 | − | 0.000418955i | ||||
\(861\) | 22.8174 | + | 8.65746i | 0.777614 | + | 0.295045i | ||||
\(862\) | 31.5675 | − | 8.45850i | 1.07519 | − | 0.288098i | ||||
\(863\) | −4.62283 | + | 1.23868i | −0.157363 | + | 0.0421653i | −0.336640 | − | 0.941633i | \(-0.609291\pi\) |
0.179278 | + | 0.983799i | \(0.442624\pi\) | |||||||
\(864\) | −0.144205 | + | 5.19415i | −0.00490597 | + | 0.176709i | ||||
\(865\) | −1.21292 | − | 0.0171519i | −0.0412404 | − | 0.000583180i | ||||
\(866\) | −22.8699 | + | 13.2039i | −0.777150 | + | 0.448688i | ||||
\(867\) | 13.0173 | + | 9.29545i | 0.442090 | + | 0.315690i | ||||
\(868\) | −5.88894 | − | 1.60527i | −0.199884 | − | 0.0544864i | ||||
\(869\) | −9.20906 | − | 15.9506i | −0.312396 | − | 0.541086i | ||||
\(870\) | 30.5781 | + | 22.4949i | 1.03669 | + | 0.762649i | ||||
\(871\) | 4.93739 | 0.167297 | ||||||||
\(872\) | −7.06803 | − | 1.89387i | −0.239354 | − | 0.0641346i | ||||
\(873\) | 34.0458 | − | 2.34478i | 1.15228 | − | 0.0793586i | ||||
\(874\) | 9.72911i | 0.329092i | ||||||||
\(875\) | 1.38225 | − | 29.5481i | 0.0467287 | − | 0.998908i | ||||
\(876\) | 6.33346 | + | 7.69133i | 0.213988 | + | 0.259866i | ||||
\(877\) | 37.5035 | + | 37.5035i | 1.26640 | + | 1.26640i | 0.947933 | + | 0.318469i | \(0.103169\pi\) |
0.318469 | + | 0.947933i | \(0.396831\pi\) | |||||||
\(878\) | −22.9620 | + | 6.15265i | −0.774930 | + | 0.207642i | ||||
\(879\) | 18.5106 | − | 49.4297i | 0.624347 | − | 1.66722i | ||||
\(880\) | −7.43783 | − | 7.65121i | −0.250729 | − | 0.257922i | ||||
\(881\) | 33.1736i | 1.11765i | 0.829286 | + | 0.558824i | \(0.188747\pi\) | ||||
−0.829286 | + | 0.558824i | \(0.811253\pi\) | |||||||
\(882\) | −9.38848 | + | 18.7845i | −0.316127 | + | 0.632506i | ||||
\(883\) | 15.6225 | − | 15.6225i | 0.525738 | − | 0.525738i | −0.393561 | − | 0.919299i | \(-0.628757\pi\) |
0.919299 | + | 0.393561i | \(0.128757\pi\) | |||||||
\(884\) | −3.45123 | − | 5.97770i | −0.116077 | − | 0.201052i | ||||
\(885\) | 5.38860 | + | 2.10529i | 0.181136 | + | 0.0707686i | ||||
\(886\) | −10.6113 | + | 18.3794i | −0.356495 | + | 0.617467i | ||||
\(887\) | 24.7665 | − | 24.7665i | 0.831576 | − | 0.831576i | −0.156156 | − | 0.987732i | \(-0.549910\pi\) |
0.987732 | + | 0.156156i | \(0.0499103\pi\) | |||||||
\(888\) | −4.95942 | − | 3.54145i | −0.166427 | − | 0.118843i | ||||
\(889\) | −0.135661 | + | 31.3618i | −0.00454993 | + | 1.05184i | ||||
\(890\) | −27.1647 | − | 16.1999i | −0.910562 | − | 0.543023i | ||||
\(891\) | 16.1724 | − | 39.7872i | 0.541796 | − | 1.33292i | ||||
\(892\) | 3.06109 | − | 11.4241i | 0.102493 | − | 0.382508i | ||||
\(893\) | 2.94335 | + | 2.94335i | 0.0984956 | + | 0.0984956i | ||||
\(894\) | −21.6945 | − | 8.12424i | −0.725574 | − | 0.271715i | ||||
\(895\) | 41.0914 | − | 39.9455i | 1.37354 | − | 1.33523i | ||||
\(896\) | 2.29699 | − | 1.31295i | 0.0767370 | − | 0.0438626i | ||||
\(897\) | −5.00458 | − | 10.9969i | −0.167098 | − | 0.367175i | ||||
\(898\) | −7.88634 | − | 2.11314i | −0.263171 | − | 0.0705164i | ||||
\(899\) | 11.3061 | + | 19.5828i | 0.377081 | + | 0.653123i | ||||
\(900\) | −14.6341 | − | 3.29272i | −0.487805 | − | 0.109757i | ||||
\(901\) | 0.257662 | − | 0.446284i | 0.00858398 | − | 0.0148679i | ||||
\(902\) | 6.57754 | + | 24.5477i | 0.219008 | + | 0.817349i | ||||
\(903\) | −1.04111 | + | 1.44471i | −0.0346461 | + | 0.0480770i | ||||
\(904\) | 13.6447 | − | 7.87780i | 0.453817 | − | 0.262012i | ||||
\(905\) | 10.3003 | + | 40.7369i | 0.342394 | + | 1.35414i | ||||
\(906\) | 4.47853 | + | 1.67713i | 0.148789 | + | 0.0557191i | ||||
\(907\) | −34.1620 | − | 34.1620i | −1.13433 | − | 1.13433i | −0.989449 | − | 0.144881i | \(-0.953720\pi\) |
−0.144881 | − | 0.989449i | \(-0.546280\pi\) | |||||||
\(908\) | 16.9495 | − | 4.54160i | 0.562488 | − | 0.150718i | ||||
\(909\) | 5.27818 | − | 27.0024i | 0.175066 | − | 0.895613i | ||||
\(910\) | 6.97686 | − | 3.85811i | 0.231281 | − | 0.127895i | ||||
\(911\) | 43.3450 | + | 25.0252i | 1.43608 | + | 0.829123i | 0.997575 | − | 0.0696035i | \(-0.0221734\pi\) |
0.438509 | + | 0.898727i | \(0.355507\pi\) | |||||||
\(912\) | −0.313726 | + | 3.24033i | −0.0103885 | + | 0.107298i | ||||
\(913\) | 5.58468 | + | 20.8423i | 0.184826 | + | 0.689780i | ||||
\(914\) | 16.7328 | − | 28.9821i | 0.553472 | − | 0.958642i | ||||
\(915\) | −40.6588 | + | 32.5270i | −1.34414 | + | 1.07531i | ||||
\(916\) | −7.38778 | + | 12.7960i | −0.244099 | + | 0.422792i | ||||
\(917\) | 35.4307 | − | 35.1255i | 1.17003 | − | 1.15995i | ||||
\(918\) | 18.2899 | + | 19.3345i | 0.603658 | + | 0.638134i | ||||
\(919\) | 8.90171 | + | 5.13941i | 0.293640 | + | 0.169533i | 0.639582 | − | 0.768723i | \(-0.279107\pi\) |
−0.345942 | + | 0.938256i | \(0.612441\pi\) | |||||||
\(920\) | 11.2214 | − | 2.83733i | 0.369958 | − | 0.0935439i | ||||
\(921\) | −7.05184 | − | 8.56373i | −0.232366 | − | 0.282184i | ||||
\(922\) | 16.6774 | + | 16.6774i | 0.549239 | + | 0.549239i | ||||
\(923\) | 4.94385 | − | 18.4507i | 0.162729 | − | 0.607312i | ||||
\(924\) | −21.5856 | + | 3.50464i | −0.710115 | + | 0.115294i | ||||
\(925\) | 12.7862 | − | 12.0828i | 0.420409 | − | 0.397278i | ||||
\(926\) | 28.1717 | + | 16.2649i | 0.925780 | + | 0.534499i | ||||
\(927\) | 24.1610 | − | 16.2599i | 0.793553 | − | 0.534046i | ||||
\(928\) | −9.46751 | − | 2.53681i | −0.310786 | − | 0.0832750i | ||||
\(929\) | 13.8339 | + | 23.9611i | 0.453877 | + | 0.786138i | 0.998623 | − | 0.0524634i | \(-0.0167073\pi\) |
−0.544746 | + | 0.838601i | \(0.683374\pi\) | |||||||
\(930\) | −7.19730 | − | 5.29473i | −0.236009 | − | 0.173621i | ||||
\(931\) | −6.67676 | + | 11.3368i | −0.218822 | + | 0.371550i | ||||
\(932\) | −11.2675 | − | 3.01913i | −0.369081 | − | 0.0988948i | ||||
\(933\) | −30.5972 | − | 21.8491i | −1.00171 | − | 0.715306i | ||||
\(934\) | − | 22.9837i | − | 0.752049i | ||||||
\(935\) | −54.6496 | − | 0.772799i | −1.78723 | − | 0.0252732i | ||||
\(936\) | −1.31220 | − | 3.82394i | −0.0428905 | − | 0.124989i | ||||
\(937\) | −20.7758 | − | 20.7758i | −0.678715 | − | 0.678715i | 0.280995 | − | 0.959709i | \(-0.409336\pi\) |
−0.959709 | + | 0.280995i | \(0.909336\pi\) | |||||||
\(938\) | 6.82467 | + | 6.88397i | 0.222833 | + | 0.224770i | ||||
\(939\) | 54.3859 | + | 20.3666i | 1.77482 | + | 0.664639i | ||||
\(940\) | 2.53643 | − | 4.25319i | 0.0827293 | − | 0.138724i | ||||
\(941\) | −18.8521 | − | 10.8843i | −0.614561 | − | 0.354817i | 0.160188 | − | 0.987087i | \(-0.448790\pi\) |
−0.774748 | + | 0.632270i | \(0.782123\pi\) | |||||||
\(942\) | −16.0127 | − | 1.55034i | −0.521721 | − | 0.0505127i | ||||
\(943\) | −26.6271 | − | 7.13471i | −0.867098 | − | 0.232338i | ||||
\(944\) | −1.49375 | −0.0486174 | ||||||||
\(945\) | −22.7182 | + | 20.7095i | −0.739024 | + | 0.673680i | ||||
\(946\) | −1.85439 | −0.0602914 | ||||||||
\(947\) | 11.4098 | + | 3.05726i | 0.370770 | + | 0.0993474i | 0.439392 | − | 0.898295i | \(-0.355194\pi\) |
−0.0686227 | + | 0.997643i | \(0.521860\pi\) | |||||||
\(948\) | 6.65388 | + | 0.644224i | 0.216108 | + | 0.0209234i | ||||
\(949\) | −6.71337 | − | 3.87597i | −0.217925 | − | 0.125819i | ||||
\(950\) | −9.00514 | − | 2.68803i | −0.292165 | − | 0.0872111i | ||||
\(951\) | 54.8162 | + | 20.5278i | 1.77754 | + | 0.665659i | ||||
\(952\) | 3.56399 | − | 13.0745i | 0.115510 | − | 0.423747i | ||||
\(953\) | 8.22163 | + | 8.22163i | 0.266325 | + | 0.266325i | 0.827617 | − | 0.561293i | \(-0.189696\pi\) |
−0.561293 | + | 0.827617i | \(0.689696\pi\) | |||||||
\(954\) | 0.198257 | − | 0.227586i | 0.00641882 | − | 0.00736835i | ||||
\(955\) | 0.288176 | + | 0.296443i | 0.00932516 | + | 0.00959267i | ||||
\(956\) | 0.456223i | 0.0147553i | ||||||||
\(957\) | 65.9297 | + | 47.0795i | 2.13120 | + | 1.52186i | ||||
\(958\) | −37.7059 | − | 10.1033i | −1.21822 | − | 0.326422i | ||||
\(959\) | 21.5144 | + | 0.0930646i | 0.694737 | + | 0.00300521i | ||||
\(960\) | 3.82883 | − | 0.583140i | 0.123575 | − | 0.0188208i | ||||
\(961\) | 12.8388 | + | 22.2375i | 0.414156 | + | 0.717338i | ||||
\(962\) | 4.57988 | + | 1.22717i | 0.147661 | + | 0.0395657i | ||||
\(963\) | 3.34327 | + | 48.5438i | 0.107735 | + | 1.56430i | ||||
\(964\) | −15.5398 | − | 8.97190i | −0.500503 | − | 0.288965i | ||||
\(965\) | 13.2565 | − | 7.40573i | 0.426742 | − | 0.238399i | ||||
\(966\) | 8.41486 | − | 22.1780i | 0.270744 | − | 0.713565i | ||||
\(967\) | 1.64500 | − | 6.13923i | 0.0528997 | − | 0.197424i | −0.934419 | − | 0.356176i | \(-0.884080\pi\) |
0.987319 | + | 0.158752i | \(0.0507470\pi\) | |||||||
\(968\) | −8.32440 | − | 8.32440i | −0.267556 | − | 0.267556i | ||||
\(969\) | 10.5996 | + | 12.8721i | 0.340508 | + | 0.413512i | ||||
\(970\) | −6.23536 | − | 24.6603i | −0.200205 | − | 0.791794i | ||||
\(971\) | 2.34429 | + | 1.35348i | 0.0752320 | + | 0.0434352i | 0.537144 | − | 0.843490i | \(-0.319503\pi\) |
−0.461912 | + | 0.886926i | \(0.652836\pi\) | |||||||
\(972\) | 8.34111 | + | 13.1691i | 0.267541 | + | 0.422400i | ||||
\(973\) | 2.99766 | + | 0.817136i | 0.0961007 | + | 0.0261962i | ||||
\(974\) | 5.38509 | − | 9.32725i | 0.172549 | − | 0.298864i | ||||
\(975\) | 11.5613 | − | 1.59389i | 0.370257 | − | 0.0510453i | ||||
\(976\) | 6.72203 | − | 11.6429i | 0.215167 | − | 0.372680i | ||||
\(977\) | 12.0963 | + | 45.1439i | 0.386994 | + | 1.44428i | 0.834999 | + | 0.550251i | \(0.185468\pi\) |
−0.448005 | + | 0.894031i | \(0.647865\pi\) | |||||||
\(978\) | 1.28883 | − | 13.3117i | 0.0412123 | − | 0.425662i | ||||
\(979\) | −58.4559 | − | 33.7495i | −1.86826 | − | 1.07864i | ||||
\(980\) | 15.0229 | + | 4.39466i | 0.479888 | + | 0.140382i | ||||
\(981\) | −20.7636 | + | 7.12509i | −0.662931 | + | 0.227487i | ||||
\(982\) | 28.6957 | − | 7.68900i | 0.915717 | − | 0.245366i | ||||
\(983\) | 42.0741 | + | 42.0741i | 1.34195 | + | 1.34195i | 0.894113 | + | 0.447841i | \(0.147807\pi\) |
0.447841 | + | 0.894113i | \(0.352193\pi\) | |||||||
\(984\) | −8.63823 | − | 3.23488i | −0.275377 | − | 0.103124i | ||||
\(985\) | 37.8009 | + | 22.5430i | 1.20444 | + | 0.718278i | ||||
\(986\) | −43.4774 | + | 25.1017i | −1.38460 | + | 0.799400i | ||||
\(987\) | −4.16377 | − | 9.25528i | −0.132534 | − | 0.294599i | ||||
\(988\) | −0.655562 | − | 2.44659i | −0.0208562 | − | 0.0778365i | ||||
\(989\) | 1.00574 | − | 1.74199i | 0.0319806 | − | 0.0553919i | ||||
\(990\) | −31.3273 | − | 6.58478i | −0.995648 | − | 0.209278i | ||||
\(991\) | −18.5277 | − | 32.0909i | −0.588552 | − | 1.01940i | −0.994422 | − | 0.105472i | \(-0.966365\pi\) |
0.405870 | − | 0.913931i | \(-0.366969\pi\) | |||||||
\(992\) | 2.22841 | + | 0.597102i | 0.0707522 | + | 0.0189580i | ||||
\(993\) | 7.38284 | + | 16.2227i | 0.234287 | + | 0.514813i | ||||
\(994\) | 32.5585 | − | 18.6104i | 1.03269 | − | 0.590285i | ||||
\(995\) | 34.8987 | + | 35.8998i | 1.10636 | + | 1.13810i | ||||
\(996\) | −7.33432 | − | 2.74658i | −0.232397 | − | 0.0870288i | ||||
\(997\) | 9.95871 | + | 9.95871i | 0.315396 | + | 0.315396i | 0.846996 | − | 0.531600i | \(-0.178409\pi\) |
−0.531600 | + | 0.846996i | \(0.678409\pi\) | |||||||
\(998\) | 8.26870 | − | 30.8592i | 0.261741 | − | 0.976832i | ||||
\(999\) | −18.2752 | − | 0.507374i | −0.578201 | − | 0.0160526i |
(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 | 630.2.bt.a.317.46 | ✓ | 192 | |
5.3 | odd | 4 | inner | 630.2.bt.a.443.36 | yes | 192 | |
7.4 | even | 3 | 630.2.cd.a.137.10 | yes | 192 | ||
9.5 | odd | 6 | 630.2.cd.a.527.45 | yes | 192 | ||
35.18 | odd | 12 | 630.2.cd.a.263.45 | yes | 192 | ||
45.23 | even | 12 | 630.2.cd.a.23.10 | yes | 192 | ||
63.32 | odd | 6 | inner | 630.2.bt.a.347.36 | yes | 192 | |
315.158 | even | 12 | inner | 630.2.bt.a.473.46 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.bt.a.317.46 | ✓ | 192 | 1.1 | even | 1 | trivial | |
630.2.bt.a.347.36 | yes | 192 | 63.32 | odd | 6 | inner | |
630.2.bt.a.443.36 | yes | 192 | 5.3 | odd | 4 | inner | |
630.2.bt.a.473.46 | yes | 192 | 315.158 | even | 12 | inner | |
630.2.cd.a.23.10 | yes | 192 | 45.23 | even | 12 | ||
630.2.cd.a.137.10 | yes | 192 | 7.4 | even | 3 | ||
630.2.cd.a.263.45 | yes | 192 | 35.18 | odd | 12 | ||
630.2.cd.a.527.45 | yes | 192 | 9.5 | odd | 6 |