Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 331.15 | ||
Character | \(\chi\) | \(=\) | 450.331 |
Dual form | 450.2.q.c.121.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978148 | + | 0.207912i | 0.691655 | + | 0.147016i | ||||
\(3\) | 1.73040 | − | 0.0756829i | 0.999045 | − | 0.0436955i | ||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | −1.82709 | − | 1.28908i | −0.817102 | − | 0.576494i | ||||
\(6\) | 1.70832 | + | 0.285741i | 0.697418 | + | 0.116653i | ||||
\(7\) | 0.989724 | − | 1.71425i | 0.374081 | − | 0.647927i | −0.616108 | − | 0.787661i | \(-0.711292\pi\) |
0.990189 | + | 0.139735i | \(0.0446250\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 2.98854 | − | 0.261923i | 0.996181 | − | 0.0873076i | ||||
\(10\) | −1.51915 | − | 1.64078i | −0.480399 | − | 0.518861i | ||||
\(11\) | 5.25090 | + | 1.11611i | 1.58320 | + | 0.336521i | 0.913732 | − | 0.406316i | \(-0.133187\pi\) |
0.669472 | + | 0.742837i | \(0.266520\pi\) | |||||||
\(12\) | 1.61158 | + | 0.634676i | 0.465223 | + | 0.183215i | ||||
\(13\) | −5.39049 | + | 1.14578i | −1.49505 | + | 0.317783i | −0.881618 | − | 0.471963i | \(-0.843545\pi\) |
−0.613434 | + | 0.789746i | \(0.710212\pi\) | |||||||
\(14\) | 1.32451 | − | 1.47102i | 0.353990 | − | 0.393146i | ||||
\(15\) | −3.25916 | − | 2.09234i | −0.841511 | − | 0.540239i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | −3.72407 | − | 2.70569i | −0.903219 | − | 0.656227i | 0.0360721 | − | 0.999349i | \(-0.488515\pi\) |
−0.939291 | + | 0.343123i | \(0.888515\pi\) | |||||||
\(18\) | 2.97769 | + | 0.365154i | 0.701849 | + | 0.0860677i | ||||
\(19\) | 3.17629 | + | 2.30771i | 0.728691 | + | 0.529425i | 0.889149 | − | 0.457617i | \(-0.151297\pi\) |
−0.160458 | + | 0.987043i | \(0.551297\pi\) | |||||||
\(20\) | −1.14482 | − | 1.92078i | −0.255989 | − | 0.429499i | ||||
\(21\) | 1.58288 | − | 3.04124i | 0.345412 | − | 0.663653i | ||||
\(22\) | 4.90410 | + | 2.18345i | 1.04556 | + | 0.465512i | ||||
\(23\) | 0.0477847 | − | 0.0530703i | 0.00996380 | − | 0.0110659i | −0.738142 | − | 0.674645i | \(-0.764297\pi\) |
0.748106 | + | 0.663579i | \(0.230963\pi\) | |||||||
\(24\) | 1.44441 | + | 0.955873i | 0.294838 | + | 0.195117i | ||||
\(25\) | 1.67655 | + | 4.71054i | 0.335310 | + | 0.942108i | ||||
\(26\) | −5.51091 | −1.08078 | ||||||||
\(27\) | 5.15154 | − | 0.679412i | 0.991415 | − | 0.130753i | ||||
\(28\) | 1.60141 | − | 1.16349i | 0.302638 | − | 0.219879i | ||||
\(29\) | −0.863692 | − | 8.21748i | −0.160384 | − | 1.52595i | −0.718114 | − | 0.695925i | \(-0.754994\pi\) |
0.557731 | − | 0.830022i | \(-0.311672\pi\) | |||||||
\(30\) | −2.75292 | − | 2.72423i | −0.502612 | − | 0.497375i | ||||
\(31\) | −0.542342 | + | 5.16004i | −0.0974075 | + | 0.926770i | 0.831267 | + | 0.555874i | \(0.187616\pi\) |
−0.928674 | + | 0.370897i | \(0.879050\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 9.17060 | + | 1.53391i | 1.59640 | + | 0.267020i | ||||
\(34\) | −3.08014 | − | 3.42084i | −0.528240 | − | 0.586670i | ||||
\(35\) | −4.01813 | + | 1.85627i | −0.679188 | + | 0.313767i | ||||
\(36\) | 2.83670 | + | 0.976272i | 0.472784 | + | 0.162712i | ||||
\(37\) | −1.38137 | + | 4.25143i | −0.227097 | + | 0.698931i | 0.770975 | + | 0.636865i | \(0.219769\pi\) |
−0.998072 | + | 0.0620665i | \(0.980231\pi\) | |||||||
\(38\) | 2.62708 | + | 2.91767i | 0.426169 | + | 0.473309i | ||||
\(39\) | −9.24096 | + | 2.39063i | −1.47974 | + | 0.382807i | ||||
\(40\) | −0.720449 | − | 2.11683i | −0.113913 | − | 0.334700i | ||||
\(41\) | −10.8293 | + | 2.30184i | −1.69126 | + | 0.359488i | −0.950124 | − | 0.311872i | \(-0.899044\pi\) |
−0.741132 | + | 0.671360i | \(0.765711\pi\) | |||||||
\(42\) | 2.18060 | − | 2.64569i | 0.336473 | − | 0.408238i | ||||
\(43\) | −3.17600 | + | 5.50100i | −0.484336 | + | 0.838894i | −0.999838 | − | 0.0179938i | \(-0.994272\pi\) |
0.515502 | + | 0.856888i | \(0.327605\pi\) | |||||||
\(44\) | 4.34297 | + | 3.15535i | 0.654727 | + | 0.475687i | ||||
\(45\) | −5.79799 | − | 3.37391i | −0.864314 | − | 0.502953i | ||||
\(46\) | 0.0577744 | − | 0.0419756i | 0.00851837 | − | 0.00618896i | ||||
\(47\) | −0.103779 | − | 0.987395i | −0.0151378 | − | 0.144026i | 0.984342 | − | 0.176267i | \(-0.0564023\pi\) |
−0.999480 | + | 0.0322409i | \(0.989736\pi\) | |||||||
\(48\) | 1.21410 | + | 1.23529i | 0.175241 | + | 0.178299i | ||||
\(49\) | 1.54089 | + | 2.66890i | 0.220127 | + | 0.381272i | ||||
\(50\) | 0.660538 | + | 4.95618i | 0.0934142 | + | 0.700909i | ||||
\(51\) | −6.64888 | − | 4.40007i | −0.931030 | − | 0.616133i | ||||
\(52\) | −5.39049 | − | 1.14578i | −0.747526 | − | 0.158892i | ||||
\(53\) | −7.66651 | + | 5.57005i | −1.05308 | + | 0.765105i | −0.972795 | − | 0.231667i | \(-0.925582\pi\) |
−0.0802816 | + | 0.996772i | \(0.525582\pi\) | |||||||
\(54\) | 5.18023 | + | 0.406501i | 0.704940 | + | 0.0553178i | ||||
\(55\) | −8.15513 | − | 8.80806i | −1.09964 | − | 1.18768i | ||||
\(56\) | 1.80832 | − | 0.805114i | 0.241646 | − | 0.107588i | ||||
\(57\) | 5.67090 | + | 3.75286i | 0.751129 | + | 0.497079i | ||||
\(58\) | 0.863692 | − | 8.21748i | 0.113408 | − | 1.07901i | ||||
\(59\) | 5.25371 | − | 1.11671i | 0.683975 | − | 0.145383i | 0.147197 | − | 0.989107i | \(-0.452975\pi\) |
0.536778 | + | 0.843724i | \(0.319641\pi\) | |||||||
\(60\) | −2.12636 | − | 3.23707i | −0.274512 | − | 0.417903i | ||||
\(61\) | −6.66024 | − | 1.41568i | −0.852756 | − | 0.181259i | −0.239259 | − | 0.970956i | \(-0.576905\pi\) |
−0.613497 | + | 0.789697i | \(0.710238\pi\) | |||||||
\(62\) | −1.60332 | + | 4.93452i | −0.203622 | + | 0.626685i | ||||
\(63\) | 2.50883 | − | 5.38235i | 0.316083 | − | 0.678113i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 11.3259 | + | 4.85531i | 1.40481 | + | 0.602227i | ||||
\(66\) | 8.65128 | + | 3.40707i | 1.06490 | + | 0.419381i | ||||
\(67\) | 0.857270 | − | 8.15638i | 0.104732 | − | 0.996461i | −0.808355 | − | 0.588696i | \(-0.799642\pi\) |
0.913087 | − | 0.407765i | \(-0.133692\pi\) | |||||||
\(68\) | −2.30160 | − | 3.98649i | −0.279110 | − | 0.483432i | ||||
\(69\) | 0.0786700 | − | 0.0954491i | 0.00947075 | − | 0.0114907i | ||||
\(70\) | −4.31626 | + | 0.980290i | −0.515892 | + | 0.117167i | ||||
\(71\) | 3.75808 | − | 2.73041i | 0.446002 | − | 0.324040i | −0.342013 | − | 0.939695i | \(-0.611109\pi\) |
0.788015 | + | 0.615656i | \(0.211109\pi\) | |||||||
\(72\) | 2.57174 | + | 1.54472i | 0.303082 | + | 0.182047i | ||||
\(73\) | 0.839028 | + | 2.58226i | 0.0982008 | + | 0.302231i | 0.988075 | − | 0.153976i | \(-0.0492078\pi\) |
−0.889874 | + | 0.456207i | \(0.849208\pi\) | |||||||
\(74\) | −2.23511 | + | 3.87133i | −0.259826 | + | 0.450032i | ||||
\(75\) | 3.25760 | + | 8.02421i | 0.376156 | + | 0.926556i | ||||
\(76\) | 1.96306 | + | 3.40011i | 0.225178 | + | 0.390020i | ||||
\(77\) | 7.11024 | − | 7.89672i | 0.810287 | − | 0.899915i | ||||
\(78\) | −9.53606 | + | 0.417082i | −1.07975 | + | 0.0472252i | ||||
\(79\) | 0.489012 | + | 4.65264i | 0.0550182 | + | 0.523463i | 0.986973 | + | 0.160888i | \(0.0514358\pi\) |
−0.931955 | + | 0.362575i | \(0.881898\pi\) | |||||||
\(80\) | −0.264593 | − | 2.22036i | −0.0295824 | − | 0.248244i | ||||
\(81\) | 8.86279 | − | 1.56554i | 0.984755 | − | 0.173948i | ||||
\(82\) | −11.0713 | −1.22262 | ||||||||
\(83\) | −13.1349 | + | 5.84804i | −1.44174 | + | 0.641906i | −0.970720 | − | 0.240214i | \(-0.922782\pi\) |
−0.471024 | + | 0.882120i | \(0.656116\pi\) | |||||||
\(84\) | 2.68301 | − | 2.13450i | 0.292741 | − | 0.232893i | ||||
\(85\) | 3.31637 | + | 9.74417i | 0.359711 | + | 1.05690i | ||||
\(86\) | −4.25032 | + | 4.72046i | −0.458324 | + | 0.509020i | ||||
\(87\) | −2.11645 | − | 14.1541i | −0.226907 | − | 1.51748i | ||||
\(88\) | 3.59203 | + | 3.98935i | 0.382912 | + | 0.425266i | ||||
\(89\) | −4.98984 | − | 15.3572i | −0.528922 | − | 1.62786i | −0.756426 | − | 0.654079i | \(-0.773056\pi\) |
0.227504 | − | 0.973777i | \(-0.426944\pi\) | |||||||
\(90\) | −4.96982 | − | 4.50565i | −0.523865 | − | 0.474938i | ||||
\(91\) | −3.37093 | + | 10.3747i | −0.353370 | + | 1.08756i | ||||
\(92\) | 0.0652391 | − | 0.0290463i | 0.00680165 | − | 0.00302829i | ||||
\(93\) | −0.547940 | + | 8.96996i | −0.0568187 | + | 0.930141i | ||||
\(94\) | 0.103779 | − | 0.987395i | 0.0107040 | − | 0.101842i | ||||
\(95\) | −2.82856 | − | 8.31090i | −0.290205 | − | 0.852680i | ||||
\(96\) | 0.930742 | + | 1.46073i | 0.0949934 | + | 0.149085i | ||||
\(97\) | −1.15209 | − | 10.9614i | −0.116977 | − | 1.11296i | −0.882748 | − | 0.469847i | \(-0.844309\pi\) |
0.765771 | − | 0.643113i | \(-0.222357\pi\) | |||||||
\(98\) | 0.952323 | + | 2.93095i | 0.0961992 | + | 0.296071i | ||||
\(99\) | 15.9849 | + | 1.96022i | 1.60654 | + | 0.197010i | ||||
\(100\) | −0.384343 | + | 4.98521i | −0.0384343 | + | 0.498521i | ||||
\(101\) | 4.98997 | − | 8.64289i | 0.496521 | − | 0.859999i | −0.503471 | − | 0.864012i | \(-0.667944\pi\) |
0.999992 | + | 0.00401273i | \(0.00127729\pi\) | |||||||
\(102\) | −5.58876 | − | 5.68630i | −0.553370 | − | 0.563028i | ||||
\(103\) | 9.51907 | + | 4.23816i | 0.937942 | + | 0.417599i | 0.818023 | − | 0.575185i | \(-0.195070\pi\) |
0.119918 | + | 0.992784i | \(0.461737\pi\) | |||||||
\(104\) | −5.03447 | − | 2.24149i | −0.493670 | − | 0.219796i | ||||
\(105\) | −6.81247 | + | 3.51619i | −0.664829 | + | 0.343145i | ||||
\(106\) | −8.65706 | + | 3.85437i | −0.840848 | + | 0.374370i | ||||
\(107\) | 9.33090 | 0.902052 | 0.451026 | − | 0.892511i | \(-0.351058\pi\) | ||||
0.451026 | + | 0.892511i | \(0.351058\pi\) | |||||||
\(108\) | 4.98251 | + | 1.47465i | 0.479442 | + | 0.141898i | ||||
\(109\) | −3.54059 | + | 10.8968i | −0.339127 | + | 1.04373i | 0.625526 | + | 0.780203i | \(0.284884\pi\) |
−0.964653 | + | 0.263522i | \(0.915116\pi\) | |||||||
\(110\) | −6.14562 | − | 10.3111i | −0.585962 | − | 0.983128i | ||||
\(111\) | −2.06856 | + | 7.46121i | −0.196339 | + | 0.708187i | ||||
\(112\) | 1.93619 | − | 0.411551i | 0.182953 | − | 0.0388879i | ||||
\(113\) | −0.331366 | + | 0.0704340i | −0.0311723 | + | 0.00662587i | −0.223471 | − | 0.974710i | \(-0.571739\pi\) |
0.192299 | + | 0.981336i | \(0.438406\pi\) | |||||||
\(114\) | 4.76671 | + | 4.84990i | 0.446443 | + | 0.454235i | ||||
\(115\) | −0.155719 | + | 0.0353662i | −0.0145209 | + | 0.00329791i | ||||
\(116\) | 2.55333 | − | 7.85834i | 0.237071 | − | 0.729628i | ||||
\(117\) | −15.8096 | + | 4.83611i | −1.46160 | + | 0.447099i | ||||
\(118\) | 5.37108 | 0.494448 | ||||||||
\(119\) | −8.32404 | + | 3.70610i | −0.763063 | + | 0.339738i | ||||
\(120\) | −1.40687 | − | 3.60842i | −0.128429 | − | 0.329402i | ||||
\(121\) | 16.2772 | + | 7.24708i | 1.47975 | + | 0.658825i | ||||
\(122\) | −6.22036 | − | 2.76948i | −0.563165 | − | 0.250737i | ||||
\(123\) | −18.5648 | + | 4.80270i | −1.67393 | + | 0.433044i | ||||
\(124\) | −2.59423 | + | 4.49334i | −0.232969 | + | 0.403514i | ||||
\(125\) | 3.00904 | − | 10.7678i | 0.269137 | − | 0.963102i | ||||
\(126\) | 3.57306 | − | 4.74312i | 0.318314 | − | 0.422551i | ||||
\(127\) | −6.23009 | − | 19.1743i | −0.552831 | − | 1.70144i | −0.701603 | − | 0.712568i | \(-0.747532\pi\) |
0.148772 | − | 0.988872i | \(-0.452468\pi\) | |||||||
\(128\) | 0.104528 | + | 0.994522i | 0.00923910 | + | 0.0879041i | ||||
\(129\) | −5.07941 | + | 9.75928i | −0.447217 | + | 0.859257i | ||||
\(130\) | 10.0690 | + | 7.10400i | 0.883106 | + | 0.623062i | ||||
\(131\) | −0.506907 | + | 4.82290i | −0.0442887 | + | 0.421379i | 0.949804 | + | 0.312845i | \(0.101282\pi\) |
−0.994093 | + | 0.108533i | \(0.965385\pi\) | |||||||
\(132\) | 7.75386 | + | 5.13132i | 0.674887 | + | 0.446624i | ||||
\(133\) | 7.09965 | − | 3.16097i | 0.615618 | − | 0.274091i | ||||
\(134\) | 2.53434 | − | 7.79991i | 0.218934 | − | 0.673809i | ||||
\(135\) | −10.2882 | − | 5.39940i | −0.885465 | − | 0.464706i | ||||
\(136\) | −1.42247 | − | 4.37790i | −0.121975 | − | 0.375402i | ||||
\(137\) | 3.28307 | + | 3.64621i | 0.280491 | + | 0.311517i | 0.866884 | − | 0.498510i | \(-0.166119\pi\) |
−0.586393 | + | 0.810027i | \(0.699452\pi\) | |||||||
\(138\) | 0.0967958 | − | 0.0770069i | 0.00823981 | − | 0.00655526i | ||||
\(139\) | 2.01852 | − | 2.24179i | 0.171208 | − | 0.190146i | −0.651434 | − | 0.758705i | \(-0.725832\pi\) |
0.822642 | + | 0.568559i | \(0.192499\pi\) | |||||||
\(140\) | −4.42576 | + | 0.0614670i | −0.374045 | + | 0.00519491i | ||||
\(141\) | −0.254308 | − | 1.70073i | −0.0214166 | − | 0.143227i | ||||
\(142\) | 4.24364 | − | 1.88939i | 0.356119 | − | 0.158554i | ||||
\(143\) | −29.5837 | −2.47391 | ||||||||
\(144\) | 2.19437 | + | 2.04566i | 0.182864 | + | 0.170472i | ||||
\(145\) | −9.01493 | + | 16.1275i | −0.748649 | + | 1.33931i | ||||
\(146\) | 0.283811 | + | 2.70028i | 0.0234883 | + | 0.223477i | ||||
\(147\) | 2.86834 | + | 4.50164i | 0.236577 | + | 0.371289i | ||||
\(148\) | −2.99116 | + | 3.32202i | −0.245872 | + | 0.273069i | ||||
\(149\) | 4.08088 | + | 7.06829i | 0.334319 | + | 0.579057i | 0.983354 | − | 0.181702i | \(-0.0581605\pi\) |
−0.649035 | + | 0.760758i | \(0.724827\pi\) | |||||||
\(150\) | 1.51809 | + | 8.52616i | 0.123952 | + | 0.696158i | ||||
\(151\) | 5.81580 | − | 10.0733i | 0.473283 | − | 0.819750i | −0.526250 | − | 0.850330i | \(-0.676402\pi\) |
0.999532 | + | 0.0305804i | \(0.00973556\pi\) | |||||||
\(152\) | 1.21324 | + | 3.73395i | 0.0984064 | + | 0.302864i | ||||
\(153\) | −11.8382 | − | 7.11066i | −0.957063 | − | 0.574863i | ||||
\(154\) | 8.59668 | − | 6.24586i | 0.692740 | − | 0.503305i | ||||
\(155\) | 7.64261 | − | 8.72876i | 0.613869 | − | 0.701111i | ||||
\(156\) | −9.41439 | − | 1.57469i | −0.753755 | − | 0.126076i | ||||
\(157\) | 2.02519 | + | 3.50773i | 0.161628 | + | 0.279947i | 0.935453 | − | 0.353452i | \(-0.114992\pi\) |
−0.773825 | + | 0.633400i | \(0.781659\pi\) | |||||||
\(158\) | −0.489012 | + | 4.65264i | −0.0389037 | + | 0.370144i | ||||
\(159\) | −12.8446 | + | 10.2186i | −1.01864 | + | 0.810389i | ||||
\(160\) | 0.202828 | − | 2.22685i | 0.0160349 | − | 0.176048i | ||||
\(161\) | −0.0436822 | − | 0.134440i | −0.00344264 | − | 0.0105954i | ||||
\(162\) | 8.99461 | + | 0.311353i | 0.706684 | + | 0.0244622i | ||||
\(163\) | −2.63151 | + | 8.09896i | −0.206116 | + | 0.634360i | 0.793550 | + | 0.608505i | \(0.208231\pi\) |
−0.999666 | + | 0.0258543i | \(0.991769\pi\) | |||||||
\(164\) | −10.8293 | − | 2.30184i | −0.845628 | − | 0.179744i | ||||
\(165\) | −14.7782 | − | 14.6242i | −1.15048 | − | 1.13850i | ||||
\(166\) | −14.0638 | + | 2.98934i | −1.09156 | + | 0.232018i | ||||
\(167\) | −0.381486 | + | 3.62959i | −0.0295202 | + | 0.280866i | 0.969797 | + | 0.243914i | \(0.0784316\pi\) |
−0.999317 | + | 0.0369521i | \(0.988235\pi\) | |||||||
\(168\) | 3.06817 | − | 1.53003i | 0.236715 | − | 0.118044i | ||||
\(169\) | 15.8684 | − | 7.06508i | 1.22065 | − | 0.543468i | ||||
\(170\) | 1.21797 | + | 10.2207i | 0.0934142 | + | 0.783896i | ||||
\(171\) | 10.0969 | + | 6.06475i | 0.772132 | + | 0.463783i | ||||
\(172\) | −5.13888 | + | 3.73362i | −0.391836 | + | 0.284686i | ||||
\(173\) | 20.5234 | + | 4.36238i | 1.56036 | + | 0.331666i | 0.905588 | − | 0.424158i | \(-0.139430\pi\) |
0.654776 | + | 0.755823i | \(0.272763\pi\) | |||||||
\(174\) | 0.872607 | − | 14.2849i | 0.0661521 | − | 1.08293i | ||||
\(175\) | 9.73438 | + | 1.78810i | 0.735850 | + | 0.135168i | ||||
\(176\) | 2.68410 | + | 4.64900i | 0.202322 | + | 0.350432i | ||||
\(177\) | 9.00649 | − | 2.32997i | 0.676969 | − | 0.175131i | ||||
\(178\) | −1.68787 | − | 16.0590i | −0.126511 | − | 1.20367i | ||||
\(179\) | 14.7318 | − | 10.7033i | 1.10111 | − | 0.800003i | 0.119869 | − | 0.992790i | \(-0.461753\pi\) |
0.981241 | + | 0.192787i | \(0.0617526\pi\) | |||||||
\(180\) | −3.92444 | − | 5.44048i | −0.292510 | − | 0.405509i | ||||
\(181\) | 8.78819 | + | 6.38499i | 0.653221 | + | 0.474593i | 0.864367 | − | 0.502862i | \(-0.167719\pi\) |
−0.211146 | + | 0.977455i | \(0.567719\pi\) | |||||||
\(182\) | −5.45428 | + | 9.44710i | −0.404298 | + | 0.700265i | ||||
\(183\) | −11.6320 | − | 1.94562i | −0.859862 | − | 0.143824i | ||||
\(184\) | 0.0698526 | − | 0.0148476i | 0.00514960 | − | 0.00109458i | ||||
\(185\) | 8.00434 | − | 5.98707i | 0.588491 | − | 0.440178i | ||||
\(186\) | −2.40093 | + | 8.66002i | −0.176044 | + | 0.634983i | ||||
\(187\) | −16.5348 | − | 18.3638i | −1.20915 | − | 1.34289i | ||||
\(188\) | 0.306802 | − | 0.944241i | 0.0223759 | − | 0.0688658i | ||||
\(189\) | 3.93392 | − | 9.50348i | 0.286151 | − | 0.691276i | ||||
\(190\) | −1.03882 | − | 8.71738i | −0.0753640 | − | 0.632425i | ||||
\(191\) | 2.19999 | + | 2.44334i | 0.159186 | + | 0.176794i | 0.817462 | − | 0.575983i | \(-0.195381\pi\) |
−0.658276 | + | 0.752777i | \(0.728714\pi\) | |||||||
\(192\) | 0.606701 | + | 1.62232i | 0.0437848 | + | 0.117081i | ||||
\(193\) | −0.133909 | − | 0.231938i | −0.00963900 | − | 0.0166952i | 0.861166 | − | 0.508324i | \(-0.169735\pi\) |
−0.870805 | + | 0.491629i | \(0.836402\pi\) | |||||||
\(194\) | 1.15209 | − | 10.9614i | 0.0827151 | − | 0.786981i | ||||
\(195\) | 19.9658 | + | 7.54443i | 1.42978 | + | 0.540268i | ||||
\(196\) | 0.322134 | + | 3.06490i | 0.0230096 | + | 0.218921i | ||||
\(197\) | 2.43233 | − | 1.76719i | 0.173296 | − | 0.125907i | −0.497756 | − | 0.867317i | \(-0.665843\pi\) |
0.671052 | + | 0.741410i | \(0.265843\pi\) | |||||||
\(198\) | 15.2280 | + | 5.24083i | 1.08221 | + | 0.372449i | ||||
\(199\) | −6.73107 | −0.477153 | −0.238576 | − | 0.971124i | \(-0.576681\pi\) | ||||
−0.238576 | + | 0.971124i | \(0.576681\pi\) | |||||||
\(200\) | −1.41243 | + | 4.79636i | −0.0998737 | + | 0.339154i | ||||
\(201\) | 0.866119 | − | 14.1787i | 0.0610913 | − | 1.00009i | ||||
\(202\) | 6.67789 | − | 7.41654i | 0.469854 | − | 0.521826i | ||||
\(203\) | −14.9417 | − | 6.65245i | −1.04870 | − | 0.466911i | ||||
\(204\) | −4.28439 | − | 6.72401i | −0.299967 | − | 0.470775i | ||||
\(205\) | 22.7535 | + | 9.75416i | 1.58917 | + | 0.681260i | ||||
\(206\) | 8.42989 | + | 6.12467i | 0.587338 | + | 0.426726i | ||||
\(207\) | 0.128906 | − | 0.171119i | 0.00895961 | − | 0.0118936i | ||||
\(208\) | −4.45842 | − | 3.23923i | −0.309136 | − | 0.224600i | ||||
\(209\) | 14.1027 | + | 15.6626i | 0.975505 | + | 1.08341i | ||||
\(210\) | −7.39465 | + | 2.02296i | −0.510280 | + | 0.139597i | ||||
\(211\) | −9.58436 | + | 10.6445i | −0.659814 | + | 0.732798i | −0.976449 | − | 0.215750i | \(-0.930781\pi\) |
0.316634 | + | 0.948548i | \(0.397447\pi\) | |||||||
\(212\) | −9.26925 | + | 1.97024i | −0.636615 | + | 0.135317i | ||||
\(213\) | 6.29633 | − | 5.00911i | 0.431417 | − | 0.343218i | ||||
\(214\) | 9.12700 | + | 1.94000i | 0.623909 | + | 0.132616i | ||||
\(215\) | 12.8941 | − | 5.95673i | 0.879369 | − | 0.406245i | ||||
\(216\) | 4.56703 | + | 2.47835i | 0.310747 | + | 0.168630i | ||||
\(217\) | 8.30884 | + | 6.03673i | 0.564041 | + | 0.409800i | ||||
\(218\) | −5.72879 | + | 9.92256i | −0.388003 | + | 0.672040i | ||||
\(219\) | 1.64728 | + | 4.40484i | 0.111313 | + | 0.297651i | ||||
\(220\) | −3.86752 | − | 11.3636i | −0.260748 | − | 0.766131i | ||||
\(221\) | 23.1747 | + | 10.3180i | 1.55890 | + | 0.694065i | ||||
\(222\) | −3.57464 | + | 6.86809i | −0.239914 | + | 0.460956i | ||||
\(223\) | 13.2991 | + | 2.82680i | 0.890571 | + | 0.189297i | 0.630404 | − | 0.776267i | \(-0.282889\pi\) |
0.260167 | + | 0.965564i | \(0.416222\pi\) | |||||||
\(224\) | 1.97945 | 0.132257 | ||||||||
\(225\) | 6.24424 | + | 13.6385i | 0.416283 | + | 0.909235i | ||||
\(226\) | −0.338769 | −0.0225346 | ||||||||
\(227\) | −15.2707 | − | 3.24589i | −1.01355 | − | 0.215437i | −0.328945 | − | 0.944349i | \(-0.606693\pi\) |
−0.684607 | + | 0.728912i | \(0.740026\pi\) | |||||||
\(228\) | 3.65420 | + | 5.73497i | 0.242005 | + | 0.379808i | ||||
\(229\) | 2.75599 | + | 1.22705i | 0.182121 | + | 0.0810855i | 0.495772 | − | 0.868453i | \(-0.334885\pi\) |
−0.313650 | + | 0.949539i | \(0.601552\pi\) | |||||||
\(230\) | −0.159669 | + | 0.00221756i | −0.0105283 | + | 0.000146222i | ||||
\(231\) | 11.7059 | − | 14.2026i | 0.770191 | − | 0.934461i | ||||
\(232\) | 4.13137 | − | 7.15574i | 0.271238 | − | 0.469798i | ||||
\(233\) | −12.1036 | − | 8.79380i | −0.792935 | − | 0.576101i | 0.115898 | − | 0.993261i | \(-0.463026\pi\) |
−0.908833 | + | 0.417160i | \(0.863026\pi\) | |||||||
\(234\) | −16.4696 | + | 1.44343i | −1.07665 | + | 0.0943602i | ||||
\(235\) | −1.08322 | + | 1.93784i | −0.0706612 | + | 0.126411i | ||||
\(236\) | 5.25371 | + | 1.11671i | 0.341988 | + | 0.0726917i | ||||
\(237\) | 1.19831 | + | 8.01391i | 0.0778386 | + | 0.520559i | ||||
\(238\) | −8.91268 | + | 1.89445i | −0.577723 | + | 0.122799i | ||||
\(239\) | 1.40102 | − | 1.55600i | 0.0906248 | − | 0.100649i | −0.696127 | − | 0.717919i | \(-0.745095\pi\) |
0.786751 | + | 0.617270i | \(0.211761\pi\) | |||||||
\(240\) | −0.625893 | − | 3.82208i | −0.0404012 | − | 0.246714i | ||||
\(241\) | −2.69368 | − | 2.99164i | −0.173515 | − | 0.192708i | 0.650114 | − | 0.759837i | \(-0.274721\pi\) |
−0.823629 | + | 0.567128i | \(0.808054\pi\) | |||||||
\(242\) | 14.4148 | + | 10.4729i | 0.926616 | + | 0.673226i | ||||
\(243\) | 15.2177 | − | 3.37976i | 0.976213 | − | 0.216812i | ||||
\(244\) | −5.50862 | − | 4.00225i | −0.352653 | − | 0.256218i | ||||
\(245\) | 0.625071 | − | 6.86267i | 0.0399343 | − | 0.438440i | ||||
\(246\) | −19.1577 | + | 0.837904i | −1.22145 | + | 0.0534228i | ||||
\(247\) | −19.7659 | − | 8.80034i | −1.25767 | − | 0.559952i | ||||
\(248\) | −3.47176 | + | 3.85578i | −0.220457 | + | 0.244842i | ||||
\(249\) | −22.2860 | + | 11.1135i | −1.41232 | + | 0.704291i | ||||
\(250\) | 5.18204 | − | 9.90689i | 0.327741 | − | 0.626567i | ||||
\(251\) | 7.73150 | 0.488008 | 0.244004 | − | 0.969774i | \(-0.421539\pi\) | ||||
0.244004 | + | 0.969774i | \(0.421539\pi\) | |||||||
\(252\) | 4.48113 | − | 3.89659i | 0.282285 | − | 0.245462i | ||||
\(253\) | 0.310145 | − | 0.225333i | 0.0194986 | − | 0.0141666i | ||||
\(254\) | −2.10740 | − | 20.0506i | −0.132230 | − | 1.25808i | ||||
\(255\) | 6.47610 | + | 16.6103i | 0.405549 | + | 1.04018i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | −1.27952 | − | 2.21620i | −0.0798145 | − | 0.138243i | 0.823355 | − | 0.567526i | \(-0.192099\pi\) |
−0.903170 | + | 0.429283i | \(0.858766\pi\) | |||||||
\(258\) | −6.99748 | + | 8.48995i | −0.435644 | + | 0.528561i | ||||
\(259\) | 5.92085 | + | 6.57577i | 0.367904 | + | 0.408599i | ||||
\(260\) | 8.37192 | + | 9.04222i | 0.519205 | + | 0.560774i | ||||
\(261\) | −4.73353 | − | 24.3321i | −0.292998 | − | 1.50612i | ||||
\(262\) | −1.49857 | + | 4.61211i | −0.0925818 | + | 0.284937i | ||||
\(263\) | −7.75260 | − | 8.61014i | −0.478046 | − | 0.530924i | 0.455091 | − | 0.890445i | \(-0.349607\pi\) |
−0.933137 | + | 0.359521i | \(0.882940\pi\) | |||||||
\(264\) | 6.51756 | + | 6.63131i | 0.401128 | + | 0.408129i | ||||
\(265\) | 21.1877 | − | 0.294264i | 1.30155 | − | 0.0180765i | ||||
\(266\) | 7.60171 | − | 1.61579i | 0.466091 | − | 0.0990707i | ||||
\(267\) | −9.79668 | − | 26.1963i | −0.599547 | − | 1.60319i | ||||
\(268\) | 4.10065 | − | 7.10254i | 0.250487 | − | 0.433857i | ||||
\(269\) | 8.50992 | + | 6.18282i | 0.518859 | + | 0.376973i | 0.816174 | − | 0.577806i | \(-0.196091\pi\) |
−0.297315 | + | 0.954779i | \(0.596091\pi\) | |||||||
\(270\) | −8.94075 | − | 7.42044i | −0.544117 | − | 0.451593i | ||||
\(271\) | −7.49565 | + | 5.44591i | −0.455328 | + | 0.330815i | −0.791696 | − | 0.610916i | \(-0.790802\pi\) |
0.336368 | + | 0.941731i | \(0.390802\pi\) | |||||||
\(272\) | −0.481165 | − | 4.57798i | −0.0291749 | − | 0.277581i | ||||
\(273\) | −5.04787 | + | 18.2074i | −0.305511 | + | 1.10196i | ||||
\(274\) | 2.45323 | + | 4.24912i | 0.148205 | + | 0.256699i | ||||
\(275\) | 3.54590 | + | 26.6058i | 0.213826 | + | 1.60439i | ||||
\(276\) | 0.110691 | − | 0.0551991i | 0.00666283 | − | 0.00332260i | ||||
\(277\) | −7.92644 | − | 1.68482i | −0.476254 | − | 0.101231i | −0.0364704 | − | 0.999335i | \(-0.511611\pi\) |
−0.439783 | + | 0.898104i | \(0.644945\pi\) | |||||||
\(278\) | 2.44050 | − | 1.77313i | 0.146372 | − | 0.106345i | ||||
\(279\) | −0.269281 | + | 15.5631i | −0.0161214 | + | 0.931736i | ||||
\(280\) | −4.34182 | − | 0.860042i | −0.259473 | − | 0.0513974i | ||||
\(281\) | 17.3752 | − | 7.73595i | 1.03652 | − | 0.461488i | 0.183309 | − | 0.983055i | \(-0.441319\pi\) |
0.853210 | + | 0.521567i | \(0.174652\pi\) | |||||||
\(282\) | 0.104851 | − | 1.71644i | 0.00624376 | − | 0.102212i | ||||
\(283\) | 3.27122 | − | 31.1236i | 0.194454 | − | 1.85011i | −0.267945 | − | 0.963434i | \(-0.586344\pi\) |
0.462399 | − | 0.886672i | \(-0.346989\pi\) | |||||||
\(284\) | 4.54373 | − | 0.965801i | 0.269621 | − | 0.0573097i | ||||
\(285\) | −5.52353 | − | 14.1671i | −0.327186 | − | 0.839185i | ||||
\(286\) | −28.9372 | − | 6.15080i | −1.71109 | − | 0.363704i | ||||
\(287\) | −6.77210 | + | 20.8424i | −0.399744 | + | 1.23029i | ||||
\(288\) | 1.72110 | + | 2.45719i | 0.101417 | + | 0.144792i | ||||
\(289\) | 1.29461 | + | 3.98439i | 0.0761533 | + | 0.234376i | ||||
\(290\) | −12.1710 | + | 13.9007i | −0.714707 | + | 0.816280i | ||||
\(291\) | −2.82316 | − | 18.8803i | −0.165496 | − | 1.10679i | ||||
\(292\) | −0.283811 | + | 2.70028i | −0.0166088 | + | 0.158022i | ||||
\(293\) | 12.8163 | + | 22.1985i | 0.748737 | + | 1.29685i | 0.948428 | + | 0.316992i | \(0.102673\pi\) |
−0.199691 | + | 0.979859i | \(0.563994\pi\) | |||||||
\(294\) | 1.86972 | + | 4.99963i | 0.109044 | + | 0.291584i | ||||
\(295\) | −11.0386 | − | 4.73211i | −0.642690 | − | 0.275514i | ||||
\(296\) | −3.61649 | + | 2.62753i | −0.210204 | + | 0.152722i | ||||
\(297\) | 27.8085 | + | 2.18218i | 1.61361 | + | 0.126623i | ||||
\(298\) | 2.52212 | + | 7.76229i | 0.146103 | + | 0.449657i | ||||
\(299\) | −0.196776 | + | 0.340825i | −0.0113798 | + | 0.0197104i | ||||
\(300\) | −0.287772 | + | 8.65547i | −0.0166145 | + | 0.499724i | ||||
\(301\) | 6.28674 | + | 10.8889i | 0.362361 | + | 0.627628i | ||||
\(302\) | 7.78305 | − | 8.64396i | 0.447864 | − | 0.497404i | ||||
\(303\) | 7.98051 | − | 15.3333i | 0.458468 | − | 0.880874i | ||||
\(304\) | 0.410391 | + | 3.90460i | 0.0235375 | + | 0.223944i | ||||
\(305\) | 10.3440 | + | 11.1722i | 0.592294 | + | 0.639716i | ||||
\(306\) | −10.1011 | − | 9.41658i | −0.577443 | − | 0.538310i | ||||
\(307\) | 19.5835 | 1.11769 | 0.558844 | − | 0.829272i | \(-0.311245\pi\) | ||||
0.558844 | + | 0.829272i | \(0.311245\pi\) | |||||||
\(308\) | 9.70741 | − | 4.32202i | 0.553131 | − | 0.246270i | ||||
\(309\) | 16.7925 | + | 6.61327i | 0.955293 | + | 0.376216i | ||||
\(310\) | 9.29041 | − | 6.94903i | 0.527660 | − | 0.394678i | ||||
\(311\) | −18.2945 | + | 20.3181i | −1.03739 | + | 1.15213i | −0.0492141 | + | 0.998788i | \(0.515672\pi\) |
−0.988173 | + | 0.153346i | \(0.950995\pi\) | |||||||
\(312\) | −8.88127 | − | 3.49764i | −0.502803 | − | 0.198015i | ||||
\(313\) | −16.3684 | − | 18.1789i | −0.925194 | − | 1.02753i | −0.999541 | − | 0.0303001i | \(-0.990354\pi\) |
0.0743464 | − | 0.997232i | \(-0.476313\pi\) | |||||||
\(314\) | 1.25164 | + | 3.85214i | 0.0706339 | + | 0.217389i | ||||
\(315\) | −11.5222 | + | 6.59998i | −0.649200 | + | 0.371867i | ||||
\(316\) | −1.44566 | + | 4.44930i | −0.0813250 | + | 0.250293i | ||||
\(317\) | 12.6886 | − | 5.64932i | 0.712662 | − | 0.317297i | −0.0181892 | − | 0.999835i | \(-0.505790\pi\) |
0.730851 | + | 0.682537i | \(0.239123\pi\) | |||||||
\(318\) | −14.6884 | + | 7.32478i | −0.823687 | + | 0.410753i | ||||
\(319\) | 4.63647 | − | 44.1131i | 0.259593 | − | 2.46986i | ||||
\(320\) | 0.661384 | − | 2.13602i | 0.0369725 | − | 0.119407i | ||||
\(321\) | 16.1462 | − | 0.706189i | 0.901191 | − | 0.0394157i | ||||
\(322\) | −0.0147760 | − | 0.140584i | −0.000823434 | − | 0.00783445i | ||||
\(323\) | −5.58476 | − | 17.1881i | −0.310745 | − | 0.956373i | ||||
\(324\) | 8.73332 | + | 2.17463i | 0.485185 | + | 0.120813i | ||||
\(325\) | −14.4347 | − | 23.4711i | −0.800692 | − | 1.30194i | ||||
\(326\) | −4.25788 | + | 7.37486i | −0.235822 | + | 0.408456i | ||||
\(327\) | −5.30192 | + | 19.1238i | −0.293197 | + | 1.05755i | ||||
\(328\) | −10.1141 | − | 4.50308i | −0.558457 | − | 0.248641i | ||||
\(329\) | −1.79536 | − | 0.799345i | −0.0989813 | − | 0.0440693i | ||||
\(330\) | −11.4147 | − | 17.3772i | −0.628360 | − | 0.956585i | ||||
\(331\) | 8.63074 | − | 3.84265i | 0.474389 | − | 0.211211i | −0.155593 | − | 0.987821i | \(-0.549729\pi\) |
0.629982 | + | 0.776610i | \(0.283062\pi\) | |||||||
\(332\) | −14.3780 | −0.789093 | ||||||||
\(333\) | −3.01475 | + | 13.0674i | −0.165207 | + | 0.716090i | ||||
\(334\) | −1.12778 | + | 3.47096i | −0.0617096 | + | 0.189923i | ||||
\(335\) | −12.0805 | + | 13.7974i | −0.660030 | + | 0.753832i | ||||
\(336\) | 3.31923 | − | 0.858682i | 0.181079 | − | 0.0468450i | ||||
\(337\) | −28.9110 | + | 6.14522i | −1.57488 | + | 0.334751i | −0.910780 | − | 0.412892i | \(-0.864519\pi\) |
−0.664101 | + | 0.747643i | \(0.731185\pi\) | |||||||
\(338\) | 16.9906 | − | 3.61146i | 0.924165 | − | 0.196437i | ||||
\(339\) | −0.568064 | + | 0.146957i | −0.0308530 | + | 0.00798163i | ||||
\(340\) | −0.933656 | + | 10.2506i | −0.0506346 | + | 0.555919i | ||||
\(341\) | −8.60696 | + | 26.4895i | −0.466093 | + | 1.43449i | ||||
\(342\) | 8.61536 | + | 8.03149i | 0.465865 | + | 0.434293i | ||||
\(343\) | 19.9564 | 1.07754 | ||||||||
\(344\) | −5.80285 | + | 2.58359i | −0.312869 | + | 0.139298i | ||||
\(345\) | −0.266779 | + | 0.0729828i | −0.0143629 | + | 0.00392926i | ||||
\(346\) | 19.1679 | + | 8.53410i | 1.03047 | + | 0.458796i | ||||
\(347\) | 13.0263 | + | 5.79970i | 0.699290 | + | 0.311344i | 0.725412 | − | 0.688315i | \(-0.241649\pi\) |
−0.0261220 | + | 0.999659i | \(0.508316\pi\) | |||||||
\(348\) | 3.82353 | − | 13.7913i | 0.204963 | − | 0.739290i | ||||
\(349\) | 10.9953 | − | 19.0444i | 0.588565 | − | 1.01942i | −0.405856 | − | 0.913937i | \(-0.633026\pi\) |
0.994421 | − | 0.105487i | \(-0.0336402\pi\) | |||||||
\(350\) | 9.14989 | + | 3.77292i | 0.489082 | + | 0.201671i | ||||
\(351\) | −26.9909 | + | 9.56491i | −1.44067 | + | 0.510537i | ||||
\(352\) | 1.65887 | + | 5.10547i | 0.0884179 | + | 0.272122i | ||||
\(353\) | −1.82017 | − | 17.3178i | −0.0968779 | − | 0.921732i | −0.929731 | − | 0.368238i | \(-0.879961\pi\) |
0.832854 | − | 0.553493i | \(-0.186706\pi\) | |||||||
\(354\) | 9.29411 | − | 0.406499i | 0.493976 | − | 0.0216052i | ||||
\(355\) | −10.3861 | + | 0.144247i | −0.551236 | + | 0.00765582i | ||||
\(356\) | 1.68787 | − | 16.0590i | 0.0894570 | − | 0.851126i | ||||
\(357\) | −14.1234 | + | 7.04301i | −0.747489 | + | 0.372756i | ||||
\(358\) | 16.6353 | − | 7.40650i | 0.879201 | − | 0.391445i | ||||
\(359\) | 7.50058 | − | 23.0844i | 0.395866 | − | 1.21835i | −0.532420 | − | 0.846480i | \(-0.678717\pi\) |
0.928285 | − | 0.371869i | \(-0.121283\pi\) | |||||||
\(360\) | −2.70754 | − | 6.13753i | −0.142700 | − | 0.323476i | ||||
\(361\) | −1.10802 | − | 3.41015i | −0.0583170 | − | 0.179481i | ||||
\(362\) | 7.26863 | + | 8.07264i | 0.382031 | + | 0.424288i | ||||
\(363\) | 28.7145 | + | 11.3084i | 1.50712 | + | 0.593538i | ||||
\(364\) | −7.29926 | + | 8.10665i | −0.382585 | + | 0.424904i | ||||
\(365\) | 1.79576 | − | 5.79961i | 0.0939942 | − | 0.303566i | ||||
\(366\) | −10.9733 | − | 4.32153i | −0.573583 | − | 0.225890i | ||||
\(367\) | −18.9891 | + | 8.45449i | −0.991223 | + | 0.441321i | −0.837289 | − | 0.546760i | \(-0.815861\pi\) |
−0.153934 | + | 0.988081i | \(0.549194\pi\) | |||||||
\(368\) | 0.0714131 | 0.00372267 | ||||||||
\(369\) | −31.7610 | + | 9.71561i | −1.65341 | + | 0.505774i | ||||
\(370\) | 9.07420 | − | 4.19204i | 0.471745 | − | 0.217934i | ||||
\(371\) | 1.96074 | + | 18.6552i | 0.101796 | + | 0.968527i | ||||
\(372\) | −4.14898 | + | 7.97160i | −0.215115 | + | 0.413308i | ||||
\(373\) | 1.34218 | − | 1.49064i | 0.0694955 | − | 0.0771826i | −0.707394 | − | 0.706819i | \(-0.750129\pi\) |
0.776890 | + | 0.629636i | \(0.216796\pi\) | |||||||
\(374\) | −12.3555 | − | 21.4003i | −0.638885 | − | 1.10658i | ||||
\(375\) | 4.39189 | − | 18.8603i | 0.226796 | − | 0.973942i | ||||
\(376\) | 0.496417 | − | 0.859819i | 0.0256007 | − | 0.0443418i | ||||
\(377\) | 14.0712 | + | 43.3066i | 0.724702 | + | 2.23040i | ||||
\(378\) | 5.82384 | − | 8.47790i | 0.299546 | − | 0.436056i | ||||
\(379\) | 1.70959 | − | 1.24209i | 0.0878159 | − | 0.0638020i | −0.543011 | − | 0.839726i | \(-0.682716\pi\) |
0.630827 | + | 0.775924i | \(0.282716\pi\) | |||||||
\(380\) | 0.796325 | − | 8.74286i | 0.0408506 | − | 0.448499i | ||||
\(381\) | −12.2317 | − | 32.7075i | −0.626649 | − | 1.67566i | ||||
\(382\) | 1.64392 | + | 2.84735i | 0.0841102 | + | 0.145683i | ||||
\(383\) | 1.19670 | − | 11.3858i | 0.0611483 | − | 0.581787i | −0.920454 | − | 0.390851i | \(-0.872181\pi\) |
0.981602 | − | 0.190936i | \(-0.0611525\pi\) | |||||||
\(384\) | 0.256144 | + | 1.71301i | 0.0130713 | + | 0.0874165i | ||||
\(385\) | −23.1706 | + | 5.26240i | −1.18088 | + | 0.268197i | ||||
\(386\) | −0.0827605 | − | 0.254711i | −0.00421240 | − | 0.0129644i | ||||
\(387\) | −8.05079 | + | 17.2718i | −0.409245 | + | 0.877977i | ||||
\(388\) | 3.40591 | − | 10.4823i | 0.172909 | − | 0.532159i | ||||
\(389\) | −35.4722 | − | 7.53984i | −1.79851 | − | 0.382285i | −0.817452 | − | 0.575996i | \(-0.804614\pi\) |
−0.981059 | + | 0.193711i | \(0.937948\pi\) | |||||||
\(390\) | 17.9609 | + | 11.5307i | 0.909488 | + | 0.583879i | ||||
\(391\) | −0.321545 | + | 0.0683465i | −0.0162612 | + | 0.00345643i | ||||
\(392\) | −0.322134 | + | 3.06490i | −0.0162702 | + | 0.154801i | ||||
\(393\) | −0.512139 | + | 8.38389i | −0.0258340 | + | 0.422911i | ||||
\(394\) | 2.74660 | − | 1.22286i | 0.138372 | − | 0.0616070i | ||||
\(395\) | 5.10415 | − | 9.13119i | 0.256818 | − | 0.459440i | ||||
\(396\) | 13.8056 | + | 8.29238i | 0.693758 | + | 0.416708i | ||||
\(397\) | 2.77798 | − | 2.01832i | 0.139423 | − | 0.101297i | −0.515888 | − | 0.856656i | \(-0.672538\pi\) |
0.655311 | + | 0.755360i | \(0.272538\pi\) | |||||||
\(398\) | −6.58398 | − | 1.39947i | −0.330025 | − | 0.0701490i | ||||
\(399\) | 12.0460 | − | 6.00705i | 0.603054 | − | 0.300729i | ||||
\(400\) | −2.37878 | + | 4.39789i | −0.118939 | + | 0.219894i | ||||
\(401\) | −10.2572 | − | 17.7661i | −0.512222 | − | 0.887195i | −0.999900 | − | 0.0141708i | \(-0.995489\pi\) |
0.487678 | − | 0.873024i | \(-0.337844\pi\) | |||||||
\(402\) | 3.79510 | − | 13.6887i | 0.189282 | − | 0.682732i | ||||
\(403\) | −2.98880 | − | 28.4365i | −0.148883 | − | 1.41652i | ||||
\(404\) | 8.07395 | − | 5.86606i | 0.401694 | − | 0.291848i | ||||
\(405\) | −18.2113 | − | 8.56446i | −0.904925 | − | 0.425571i | ||||
\(406\) | −13.2320 | − | 9.61362i | −0.656694 | − | 0.477116i | ||||
\(407\) | −11.9985 | + | 20.7821i | −0.594745 | + | 1.03013i | ||||
\(408\) | −2.79276 | − | 7.46785i | −0.138262 | − | 0.369714i | ||||
\(409\) | −10.2352 | + | 2.17556i | −0.506099 | + | 0.107575i | −0.453883 | − | 0.891061i | \(-0.649962\pi\) |
−0.0522158 | + | 0.998636i | \(0.516628\pi\) | |||||||
\(410\) | 20.2282 | + | 14.2717i | 0.999001 | + | 0.704830i | ||||
\(411\) | 5.95696 | + | 6.06093i | 0.293835 | + | 0.298963i | ||||
\(412\) | 6.97229 | + | 7.74351i | 0.343500 | + | 0.381495i | ||||
\(413\) | 3.28540 | − | 10.1114i | 0.161664 | − | 0.497551i | ||||
\(414\) | 0.161667 | − | 0.140578i | 0.00794550 | − | 0.00690905i | ||||
\(415\) | 31.5373 | + | 6.24702i | 1.54811 | + | 0.306654i | ||||
\(416\) | −3.68752 | − | 4.09541i | −0.180796 | − | 0.200794i | ||||
\(417\) | 3.32317 | − | 4.03195i | 0.162736 | − | 0.197446i | ||||
\(418\) | 10.5381 | + | 18.2525i | 0.515435 | + | 0.892759i | ||||
\(419\) | −2.60614 | + | 24.7957i | −0.127318 | + | 1.21135i | 0.725157 | + | 0.688583i | \(0.241767\pi\) |
−0.852475 | + | 0.522767i | \(0.824900\pi\) | |||||||
\(420\) | −7.65366 | + | 0.441316i | −0.373460 | + | 0.0215340i | ||||
\(421\) | −1.26673 | − | 12.0521i | −0.0617365 | − | 0.587383i | −0.981036 | − | 0.193825i | \(-0.937911\pi\) |
0.919300 | − | 0.393558i | \(-0.128756\pi\) | |||||||
\(422\) | −11.5880 | + | 8.41920i | −0.564097 | + | 0.409840i | ||||
\(423\) | −0.568770 | − | 2.92369i | −0.0276546 | − | 0.142155i | ||||
\(424\) | −9.47633 | −0.460211 | ||||||||
\(425\) | 6.50168 | − | 22.0786i | 0.315378 | − | 1.07097i | ||||
\(426\) | 7.20019 | − | 3.59057i | 0.348850 | − | 0.173964i | ||||
\(427\) | −9.01863 | + | 10.0162i | −0.436442 | + | 0.484718i | ||||
\(428\) | 8.52420 | + | 3.79522i | 0.412033 | + | 0.183449i | ||||
\(429\) | −51.1915 | + | 2.23898i | −2.47155 | + | 0.108099i | ||||
\(430\) | 13.8508 | − | 3.14573i | 0.667944 | − | 0.151700i | ||||
\(431\) | −11.2098 | − | 8.14442i | −0.539959 | − | 0.392303i | 0.284111 | − | 0.958791i | \(-0.408302\pi\) |
−0.824070 | + | 0.566488i | \(0.808302\pi\) | |||||||
\(432\) | 3.95196 | + | 3.37373i | 0.190139 | + | 0.162319i | ||||
\(433\) | 8.41132 | + | 6.11118i | 0.404222 | + | 0.293685i | 0.771259 | − | 0.636522i | \(-0.219627\pi\) |
−0.367036 | + | 0.930207i | \(0.619627\pi\) | |||||||
\(434\) | 6.87217 | + | 7.63232i | 0.329875 | + | 0.366363i | ||||
\(435\) | −14.3788 | + | 28.5892i | −0.689412 | + | 1.37075i | ||||
\(436\) | −7.66662 | + | 8.51464i | −0.367165 | + | 0.407778i | ||||
\(437\) | 0.274249 | − | 0.0582934i | 0.0131191 | − | 0.00278855i | ||||
\(438\) | 0.695470 | + | 4.65107i | 0.0332308 | + | 0.222237i | ||||
\(439\) | 11.3441 | + | 2.41126i | 0.541424 | + | 0.115083i | 0.470502 | − | 0.882399i | \(-0.344073\pi\) |
0.0709213 | + | 0.997482i | \(0.477406\pi\) | |||||||
\(440\) | −1.42039 | − | 11.9193i | −0.0677143 | − | 0.568232i | ||||
\(441\) | 5.30407 | + | 7.57254i | 0.252575 | + | 0.360597i | ||||
\(442\) | 20.5230 | + | 14.9108i | 0.976179 | + | 0.709236i | ||||
\(443\) | −7.93131 | + | 13.7374i | −0.376828 | + | 0.652685i | −0.990599 | − | 0.136799i | \(-0.956319\pi\) |
0.613771 | + | 0.789484i | \(0.289652\pi\) | |||||||
\(444\) | −4.92448 | + | 5.97480i | −0.233705 | + | 0.283551i | ||||
\(445\) | −10.6797 | + | 34.4913i | −0.506265 | + | 1.63504i | ||||
\(446\) | 12.4207 | + | 5.53006i | 0.588138 | + | 0.261856i | ||||
\(447\) | 7.59649 | + | 11.9221i | 0.359301 | + | 0.563895i | ||||
\(448\) | 1.93619 | + | 0.411551i | 0.0914765 | + | 0.0194439i | ||||
\(449\) | −35.6910 | −1.68436 | −0.842182 | − | 0.539194i | \(-0.818729\pi\) | ||||
−0.842182 | + | 0.539194i | \(0.818729\pi\) | |||||||
\(450\) | 3.27218 | + | 14.6387i | 0.154252 | + | 0.690077i | ||||
\(451\) | −59.4328 | −2.79858 | ||||||||
\(452\) | −0.331366 | − | 0.0704340i | −0.0155861 | − | 0.00331294i | ||||
\(453\) | 9.30126 | − | 17.8709i | 0.437011 | − | 0.839647i | ||||
\(454\) | −14.2621 | − | 6.34991i | −0.669355 | − | 0.298016i | ||||
\(455\) | 19.5328 | − | 14.6101i | 0.915711 | − | 0.684932i | ||||
\(456\) | 2.38197 | + | 6.36940i | 0.111546 | + | 0.298275i | ||||
\(457\) | 4.86517 | − | 8.42672i | 0.227583 | − | 0.394185i | −0.729508 | − | 0.683972i | \(-0.760251\pi\) |
0.957091 | + | 0.289787i | \(0.0935844\pi\) | |||||||
\(458\) | 2.44065 | + | 1.77324i | 0.114044 | + | 0.0828579i | ||||
\(459\) | −21.0230 | − | 11.4083i | −0.981268 | − | 0.532495i | ||||
\(460\) | −0.156641 | − | 0.0310280i | −0.00730343 | − | 0.00144669i | ||||
\(461\) | −3.39879 | − | 0.722435i | −0.158297 | − | 0.0336471i | 0.128081 | − | 0.991764i | \(-0.459118\pi\) |
−0.286379 | + | 0.958117i | \(0.592452\pi\) | |||||||
\(462\) | 14.4030 | − | 11.4584i | 0.670087 | − | 0.533094i | ||||
\(463\) | 27.7992 | − | 5.90891i | 1.29194 | − | 0.274610i | 0.489846 | − | 0.871809i | \(-0.337053\pi\) |
0.802093 | + | 0.597199i | \(0.203720\pi\) | |||||||
\(464\) | 5.52885 | − | 6.14041i | 0.256671 | − | 0.285062i | ||||
\(465\) | 12.5641 | − | 15.6826i | 0.582647 | − | 0.727264i | ||||
\(466\) | −10.0108 | − | 11.1181i | −0.463742 | − | 0.515037i | ||||
\(467\) | −13.2482 | − | 9.62535i | −0.613052 | − | 0.445408i | 0.237436 | − | 0.971403i | \(-0.423693\pi\) |
−0.850488 | + | 0.525995i | \(0.823693\pi\) | |||||||
\(468\) | −16.4098 | − | 2.01233i | −0.758544 | − | 0.0930201i | ||||
\(469\) | −13.1336 | − | 9.54215i | −0.606455 | − | 0.440615i | ||||
\(470\) | −1.46244 | + | 1.67028i | −0.0674575 | + | 0.0770445i | ||||
\(471\) | 3.76985 | + | 5.91649i | 0.173706 | + | 0.272617i | ||||
\(472\) | 4.90673 | + | 2.18462i | 0.225851 | + | 0.100555i | ||||
\(473\) | −22.8166 | + | 25.3404i | −1.04911 | + | 1.16515i | ||||
\(474\) | −0.494060 | + | 8.08793i | −0.0226929 | + | 0.371491i | ||||
\(475\) | −5.54535 | + | 18.8310i | −0.254438 | + | 0.864027i | ||||
\(476\) | −9.11179 | −0.417638 | ||||||||
\(477\) | −21.4528 | + | 18.6544i | −0.982256 | + | 0.854125i | ||||
\(478\) | 1.69392 | − | 1.23070i | 0.0774780 | − | 0.0562911i | ||||
\(479\) | 2.10674 | + | 20.0443i | 0.0962594 | + | 0.915847i | 0.930955 | + | 0.365135i | \(0.118977\pi\) |
−0.834695 | + | 0.550712i | \(0.814356\pi\) | |||||||
\(480\) | 0.182438 | − | 3.86868i | 0.00832712 | − | 0.176580i | ||||
\(481\) | 2.57506 | − | 24.5000i | 0.117413 | − | 1.11711i | ||||
\(482\) | −2.01282 | − | 3.48631i | −0.0916815 | − | 0.158797i | ||||
\(483\) | −0.0857623 | − | 0.229329i | −0.00390232 | − | 0.0104348i | ||||
\(484\) | 11.9223 | + | 13.2411i | 0.541923 | + | 0.601867i | ||||
\(485\) | −12.0251 | + | 21.5126i | −0.546032 | + | 0.976837i | ||||
\(486\) | 15.5878 | − | 0.141974i | 0.707077 | − | 0.00644006i | ||||
\(487\) | −4.31598 | + | 13.2832i | −0.195576 | + | 0.601920i | 0.804394 | + | 0.594096i | \(0.202490\pi\) |
−0.999969 | + | 0.00782319i | \(0.997510\pi\) | |||||||
\(488\) | −4.55613 | − | 5.06010i | −0.206246 | − | 0.229060i | ||||
\(489\) | −3.94061 | + | 14.2136i | −0.178200 | + | 0.642760i | ||||
\(490\) | 2.03824 | − | 6.58274i | 0.0920783 | − | 0.297378i | ||||
\(491\) | −22.5949 | + | 4.80269i | −1.01969 | + | 0.216743i | −0.687281 | − | 0.726392i | \(-0.741196\pi\) |
−0.332412 | + | 0.943134i | \(0.607863\pi\) | |||||||
\(492\) | −18.9132 | − | 3.16351i | −0.852674 | − | 0.142622i | ||||
\(493\) | −19.0175 | + | 32.9393i | −0.856506 | + | 1.48351i | ||||
\(494\) | −17.5043 | − | 12.7176i | −0.787554 | − | 0.572192i | ||||
\(495\) | −26.6790 | − | 24.1873i | −1.19913 | − | 1.08714i | ||||
\(496\) | −4.19755 | + | 3.04970i | −0.188476 | + | 0.136936i | ||||
\(497\) | −0.961142 | − | 9.14465i | −0.0431131 | − | 0.410194i | ||||
\(498\) | −24.1096 | + | 6.23714i | −1.08038 | + | 0.279493i | ||||
\(499\) | 17.7418 | + | 30.7297i | 0.794232 | + | 1.37565i | 0.923326 | + | 0.384018i | \(0.125460\pi\) |
−0.129094 | + | 0.991632i | \(0.541207\pi\) | |||||||
\(500\) | 7.12856 | − | 8.61300i | 0.318799 | − | 0.385185i | ||||
\(501\) | −0.385423 | + | 6.30951i | −0.0172194 | + | 0.281888i | ||||
\(502\) | 7.56255 | + | 1.60747i | 0.337533 | + | 0.0717449i | ||||
\(503\) | −16.3703 | + | 11.8937i | −0.729917 | + | 0.530316i | −0.889537 | − | 0.456863i | \(-0.848973\pi\) |
0.159620 | + | 0.987179i | \(0.448973\pi\) | |||||||
\(504\) | 5.19336 | − | 2.87976i | 0.231330 | − | 0.128275i | ||||
\(505\) | −20.2585 | + | 9.35890i | −0.901492 | + | 0.416466i | ||||
\(506\) | 0.350217 | − | 0.155927i | 0.0155690 | − | 0.00693178i | ||||
\(507\) | 26.9240 | − | 13.4264i | 1.19574 | − | 0.596285i | ||||
\(508\) | 2.10740 | − | 20.0506i | 0.0935007 | − | 0.889600i | ||||
\(509\) | −31.9840 | + | 6.79842i | −1.41767 | + | 0.301335i | −0.852105 | − | 0.523371i | \(-0.824674\pi\) |
−0.565563 | + | 0.824705i | \(0.691341\pi\) | |||||||
\(510\) | 2.88111 | + | 17.5938i | 0.127578 | + | 0.779065i | ||||
\(511\) | 5.25706 | + | 1.11742i | 0.232559 | + | 0.0494318i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 17.9307 | + | 9.73026i | 0.791659 | + | 0.429602i | ||||
\(514\) | −0.790789 | − | 2.43380i | −0.0348802 | − | 0.107350i | ||||
\(515\) | −11.9289 | − | 20.0144i | −0.525651 | − | 0.881938i | ||||
\(516\) | −8.60973 | + | 6.84956i | −0.379022 | + | 0.301535i | ||||
\(517\) | 0.557109 | − | 5.30054i | 0.0245016 | − | 0.233117i | ||||
\(518\) | 4.42429 | + | 7.66309i | 0.194392 | + | 0.336697i | ||||
\(519\) | 35.8437 | + | 5.99538i | 1.57337 | + | 0.263168i | ||||
\(520\) | 6.30899 | + | 10.5852i | 0.276668 | + | 0.464194i | ||||
\(521\) | 18.7442 | − | 13.6185i | 0.821198 | − | 0.596636i | −0.0958571 | − | 0.995395i | \(-0.530559\pi\) |
0.917056 | + | 0.398759i | \(0.130559\pi\) | |||||||
\(522\) | 0.428836 | − | 24.7845i | 0.0187696 | − | 1.08479i | ||||
\(523\) | −4.13359 | − | 12.7219i | −0.180749 | − | 0.556289i | 0.819100 | − | 0.573651i | \(-0.194473\pi\) |
−0.999849 | + | 0.0173618i | \(0.994473\pi\) | |||||||
\(524\) | −2.42473 | + | 4.19976i | −0.105925 | + | 0.183467i | ||||
\(525\) | 16.9797 | + | 2.35740i | 0.741053 | + | 0.102885i | ||||
\(526\) | −5.79304 | − | 10.0338i | −0.252589 | − | 0.437496i | ||||
\(527\) | 15.9812 | − | 17.7489i | 0.696152 | − | 0.773155i | ||||
\(528\) | 4.99641 | + | 7.84148i | 0.217441 | + | 0.341256i | ||||
\(529\) | 2.40362 | + | 22.8689i | 0.104505 | + | 0.994301i | ||||
\(530\) | 20.7859 | + | 4.11733i | 0.902880 | + | 0.178845i | ||||
\(531\) | 15.4085 | − | 4.71341i | 0.668670 | − | 0.204544i | ||||
\(532\) | 7.77154 | 0.336939 | ||||||||
\(533\) | 55.7379 | − | 24.8161i | 2.41428 | − | 1.07490i | ||||
\(534\) | −4.13608 | − | 27.6607i | −0.178986 | − | 1.19700i | ||||
\(535\) | −17.0484 | − | 12.0283i | −0.737068 | − | 0.520027i | ||||
\(536\) | 5.48775 | − | 6.09476i | 0.237035 | − | 0.263254i | ||||
\(537\) | 24.6819 | − | 19.6359i | 1.06510 | − | 0.847352i | ||||
\(538\) | 7.03847 | + | 7.81702i | 0.303450 | + | 0.337016i | ||||
\(539\) | 5.11227 | + | 15.7339i | 0.220201 | + | 0.677709i | ||||
\(540\) | −7.20258 | − | 9.11717i | −0.309950 | − | 0.392341i | ||||
\(541\) | 14.3379 | − | 44.1275i | 0.616435 | − | 1.89719i | 0.239843 | − | 0.970812i | \(-0.422904\pi\) |
0.376592 | − | 0.926379i | \(-0.377096\pi\) | |||||||
\(542\) | −8.46412 | + | 3.76847i | −0.363565 | + | 0.161870i | ||||
\(543\) | 15.6903 | + | 10.3835i | 0.673335 | + | 0.445597i | ||||
\(544\) | 0.481165 | − | 4.57798i | 0.0206298 | − | 0.196279i | ||||
\(545\) | 20.5158 | − | 15.3454i | 0.878802 | − | 0.657325i | ||||
\(546\) | −8.72309 | + | 16.7600i | −0.373314 | + | 0.717263i | ||||
\(547\) | −0.463156 | − | 4.40663i | −0.0198031 | − | 0.188414i | 0.980148 | − | 0.198265i | \(-0.0635308\pi\) |
−0.999951 | + | 0.00985140i | \(0.996864\pi\) | |||||||
\(548\) | 1.51618 | + | 4.66633i | 0.0647681 | + | 0.199336i | ||||
\(549\) | −20.2752 | − | 2.48635i | −0.865325 | − | 0.106115i | ||||
\(550\) | −2.06323 | + | 26.7616i | −0.0879766 | + | 1.14112i | ||||
\(551\) | 16.2202 | − | 28.0943i | 0.691005 | − | 1.19686i | ||||
\(552\) | 0.119749 | − | 0.0309789i | 0.00509685 | − | 0.00131855i | ||||
\(553\) | 8.45979 | + | 3.76654i | 0.359747 | + | 0.160170i | ||||
\(554\) | −7.40294 | − | 3.29600i | −0.314521 | − | 0.140034i | ||||
\(555\) | 13.3976 | − | 10.9658i | 0.568695 | − | 0.465472i | ||||
\(556\) | 2.75583 | − | 1.22697i | 0.116873 | − | 0.0520352i | ||||
\(557\) | 10.9950 | 0.465872 | 0.232936 | − | 0.972492i | \(-0.425167\pi\) | ||||
0.232936 | + | 0.972492i | \(0.425167\pi\) | |||||||
\(558\) | −3.49914 | + | 15.1670i | −0.148130 | + | 0.642069i | ||||
\(559\) | 10.8172 | − | 33.2921i | 0.457521 | − | 1.40810i | ||||
\(560\) | −4.06813 | − | 1.74396i | −0.171910 | − | 0.0736959i | ||||
\(561\) | −30.0016 | − | 30.5252i | −1.26667 | − | 1.28878i | ||||
\(562\) | 18.6039 | − | 3.95439i | 0.784759 | − | 0.166806i | ||||
\(563\) | 12.6272 | − | 2.68400i | 0.532175 | − | 0.113117i | 0.0660165 | − | 0.997819i | \(-0.478971\pi\) |
0.466158 | + | 0.884701i | \(0.345638\pi\) | |||||||
\(564\) | 0.459427 | − | 1.65713i | 0.0193454 | − | 0.0697778i | ||||
\(565\) | 0.696232 | + | 0.298467i | 0.0292907 | + | 0.0125566i | ||||
\(566\) | 9.67070 | − | 29.7634i | 0.406490 | − | 1.25105i | ||||
\(567\) | 6.08800 | − | 16.7425i | 0.255672 | − | 0.703120i | ||||
\(568\) | 4.64524 | 0.194910 | ||||||||
\(569\) | −21.3614 | + | 9.51070i | −0.895516 | + | 0.398709i | −0.802289 | − | 0.596936i | \(-0.796385\pi\) |
−0.0932265 | + | 0.995645i | \(0.529718\pi\) | |||||||
\(570\) | −2.45733 | − | 15.0059i | −0.102926 | − | 0.628528i | ||||
\(571\) | 9.06273 | + | 4.03499i | 0.379263 | + | 0.168859i | 0.587509 | − | 0.809218i | \(-0.300109\pi\) |
−0.208246 | + | 0.978077i | \(0.566775\pi\) | |||||||
\(572\) | −27.0261 | − | 12.0328i | −1.13002 | − | 0.503116i | ||||
\(573\) | 3.99178 | + | 4.06145i | 0.166759 | + | 0.169669i | ||||
\(574\) | −10.9575 | + | 18.9789i | −0.457357 | + | 0.792165i | ||||
\(575\) | 0.330103 | + | 0.136117i | 0.0137663 | + | 0.00567646i | ||||
\(576\) | 1.17261 | + | 2.76134i | 0.0488589 | + | 0.115056i | ||||
\(577\) | 2.75671 | + | 8.48428i | 0.114763 | + | 0.353205i | 0.991898 | − | 0.127040i | \(-0.0405477\pi\) |
−0.877134 | + | 0.480245i | \(0.840548\pi\) | |||||||
\(578\) | 0.437915 | + | 4.16648i | 0.0182149 | + | 0.173303i | ||||
\(579\) | −0.249270 | − | 0.391210i | −0.0103593 | − | 0.0162581i | ||||
\(580\) | −14.7952 | + | 11.0665i | −0.614337 | + | 0.459511i | ||||
\(581\) | −2.97492 | + | 28.3045i | −0.123421 | + | 1.17427i | ||||
\(582\) | 1.16398 | − | 19.0547i | 0.0482485 | − | 0.789844i | ||||
\(583\) | −46.4729 | + | 20.6911i | −1.92471 | + | 0.856936i | ||||
\(584\) | −0.839028 | + | 2.58226i | −0.0347192 | + | 0.106855i | ||||
\(585\) | 35.1198 | + | 11.5438i | 1.45202 | + | 0.477277i | ||||
\(586\) | 7.92092 | + | 24.3781i | 0.327210 | + | 1.00705i | ||||
\(587\) | 18.0438 | + | 20.0397i | 0.744747 | + | 0.827125i | 0.989812 | − | 0.142381i | \(-0.0454759\pi\) |
−0.245065 | + | 0.969507i | \(0.578809\pi\) | |||||||
\(588\) | 0.789380 | + | 5.27911i | 0.0325535 | + | 0.217707i | ||||
\(589\) | −13.6305 | + | 15.1382i | −0.561636 | + | 0.623759i | ||||
\(590\) | −9.81348 | − | 6.92375i | −0.404015 | − | 0.285046i | ||||
\(591\) | 4.07515 | − | 3.24203i | 0.167629 | − | 0.133359i | ||||
\(592\) | −4.08375 | + | 1.81820i | −0.167841 | + | 0.0747277i | ||||
\(593\) | −34.8323 | −1.43039 | −0.715196 | − | 0.698924i | \(-0.753663\pi\) | ||||
−0.715196 | + | 0.698924i | \(0.753663\pi\) | |||||||
\(594\) | 26.7471 | + | 7.91621i | 1.09745 | + | 0.324806i | ||||
\(595\) | 19.9863 | + | 3.95895i | 0.819357 | + | 0.162301i | ||||
\(596\) | 0.853136 | + | 8.11705i | 0.0349458 | + | 0.332487i | ||||
\(597\) | −11.6474 | + | 0.509427i | −0.476697 | + | 0.0208494i | ||||
\(598\) | −0.263337 | + | 0.292466i | −0.0107687 | + | 0.0119598i | ||||
\(599\) | −7.22058 | − | 12.5064i | −0.295025 | − | 0.510998i | 0.679966 | − | 0.733244i | \(-0.261995\pi\) |
−0.974991 | + | 0.222246i | \(0.928661\pi\) | |||||||
\(600\) | −2.08106 | + | 8.40650i | −0.0849588 | + | 0.343194i | ||||
\(601\) | −18.9611 | + | 32.8416i | −0.773440 | + | 1.33964i | 0.162227 | + | 0.986753i | \(0.448132\pi\) |
−0.935667 | + | 0.352884i | \(0.885201\pi\) | |||||||
\(602\) | 3.88542 | + | 11.9581i | 0.158358 | + | 0.487375i | ||||
\(603\) | 0.425648 | − | 24.6002i | 0.0173337 | − | 1.00180i | ||||
\(604\) | 9.41016 | − | 6.83688i | 0.382894 | − | 0.278189i | ||||
\(605\) | −20.3979 | − | 34.2237i | −0.829294 | − | 1.39139i | ||||
\(606\) | 10.9941 | − | 13.3390i | 0.446604 | − | 0.541858i | ||||
\(607\) | −20.1806 | − | 34.9538i | −0.819105 | − | 1.41873i | −0.906343 | − | 0.422543i | \(-0.861137\pi\) |
0.0872380 | − | 0.996187i | \(-0.472196\pi\) | |||||||
\(608\) | −0.410391 | + | 3.90460i | −0.0166435 | + | 0.158353i | ||||
\(609\) | −26.3585 | − | 10.3806i | −1.06810 | − | 0.420641i | ||||
\(610\) | 7.79511 | + | 13.0786i | 0.315615 | + | 0.529539i | ||||
\(611\) | 1.69076 | + | 5.20363i | 0.0684009 | + | 0.210516i | ||||
\(612\) | −7.92258 | − | 11.3109i | −0.320251 | − | 0.457218i | ||||
\(613\) | −2.13923 | + | 6.58387i | −0.0864027 | + | 0.265920i | −0.984918 | − | 0.173022i | \(-0.944647\pi\) |
0.898515 | + | 0.438942i | \(0.144647\pi\) | |||||||
\(614\) | 19.1555 | + | 4.07164i | 0.773055 | + | 0.164318i | ||||
\(615\) | 40.1107 | + | 15.1565i | 1.61742 | + | 0.611170i | ||||
\(616\) | 10.3939 | − | 2.20929i | 0.418781 | − | 0.0890147i | ||||
\(617\) | 1.02734 | − | 9.77451i | 0.0413593 | − | 0.393507i | −0.954185 | − | 0.299216i | \(-0.903275\pi\) |
0.995545 | − | 0.0942911i | \(-0.0300585\pi\) | |||||||
\(618\) | 15.0506 | + | 9.96012i | 0.605423 | + | 0.400655i | ||||
\(619\) | 8.17177 | − | 3.63830i | 0.328451 | − | 0.146236i | −0.235885 | − | 0.971781i | \(-0.575799\pi\) |
0.564336 | + | 0.825545i | \(0.309132\pi\) | |||||||
\(620\) | 10.5322 | − | 4.86559i | 0.422982 | − | 0.195407i | ||||
\(621\) | 0.210108 | − | 0.305859i | 0.00843136 | − | 0.0122737i | ||||
\(622\) | −22.1191 | + | 16.0705i | −0.886895 | + | 0.644367i | ||||
\(623\) | −31.2646 | − | 6.64550i | −1.25259 | − | 0.266246i | ||||
\(624\) | −7.95999 | − | 5.26773i | −0.318655 | − | 0.210878i | ||||
\(625\) | −19.3784 | + | 15.7949i | −0.775134 | + | 0.631797i | ||||
\(626\) | −12.2311 | − | 21.1848i | −0.488852 | − | 0.846716i | ||||
\(627\) | 25.5887 | + | 26.0353i | 1.02191 | + | 1.03975i | ||||
\(628\) | 0.423380 | + | 4.02819i | 0.0168947 | + | 0.160742i | ||||
\(629\) | 16.6474 | − | 12.0950i | 0.663775 | − | 0.482261i | ||||
\(630\) | −12.6426 | + | 4.06017i | −0.503692 | + | 0.161761i | ||||
\(631\) | −9.77627 | − | 7.10288i | −0.389187 | − | 0.282761i | 0.375935 | − | 0.926646i | \(-0.377322\pi\) |
−0.765122 | + | 0.643885i | \(0.777322\pi\) | |||||||
\(632\) | −2.33913 | + | 4.05150i | −0.0930458 | + | 0.161160i | ||||
\(633\) | −15.7791 | + | 19.1446i | −0.627164 | + | 0.760929i | ||||
\(634\) | 13.5859 | − | 2.88777i | 0.539564 | − | 0.114688i | ||||
\(635\) | −13.3342 | + | 43.0643i | −0.529150 | + | 1.70895i | ||||
\(636\) | −15.8904 | + | 4.11082i | −0.630094 | + | 0.163005i | ||||
\(637\) | −11.3641 | − | 12.6212i | −0.450263 | − | 0.500068i | ||||
\(638\) | 13.7068 | − | 42.1851i | 0.542657 | − | 1.67013i | ||||
\(639\) | 10.5160 | − | 9.14427i | 0.416008 | − | 0.361742i | ||||
\(640\) | 1.09103 | − | 1.95183i | 0.0431269 | − | 0.0771529i | ||||
\(641\) | 9.13721 | + | 10.1479i | 0.360898 | + | 0.400818i | 0.896061 | − | 0.443931i | \(-0.146416\pi\) |
−0.535163 | + | 0.844749i | \(0.679750\pi\) | |||||||
\(642\) | 15.9401 | + | 2.66622i | 0.629108 | + | 0.105227i | ||||
\(643\) | −5.76443 | − | 9.98429i | −0.227327 | − | 0.393742i | 0.729688 | − | 0.683780i | \(-0.239665\pi\) |
−0.957015 | + | 0.290038i | \(0.906332\pi\) | |||||||
\(644\) | 0.0147760 | − | 0.140584i | 0.000582256 | − | 0.00553979i | ||||
\(645\) | 21.8610 | − | 11.2834i | 0.860778 | − | 0.444282i | ||||
\(646\) | −1.88911 | − | 17.9737i | −0.0743260 | − | 0.707165i | ||||
\(647\) | −3.47030 | + | 2.52132i | −0.136432 | + | 0.0991234i | −0.653908 | − | 0.756574i | \(-0.726872\pi\) |
0.517476 | + | 0.855698i | \(0.326872\pi\) | |||||||
\(648\) | 8.09035 | + | 3.94287i | 0.317819 | + | 0.154891i | ||||
\(649\) | 28.8331 | 1.13180 | ||||||||
\(650\) | −9.23932 | − | 25.9594i | −0.362396 | − | 1.01821i | ||||
\(651\) | 14.8345 | + | 9.81709i | 0.581409 | + | 0.384762i | ||||
\(652\) | −5.69815 | + | 6.32844i | −0.223157 | + | 0.247841i | ||||
\(653\) | 1.08934 | + | 0.485004i | 0.0426290 | + | 0.0189797i | 0.427940 | − | 0.903807i | \(-0.359239\pi\) |
−0.385311 | + | 0.922787i | \(0.625906\pi\) | |||||||
\(654\) | −9.16211 | + | 17.6035i | −0.358267 | + | 0.688353i | ||||
\(655\) | 7.14326 | − | 8.15845i | 0.279110 | − | 0.318777i | ||||
\(656\) | −8.95683 | − | 6.50752i | −0.349706 | − | 0.254076i | ||||
\(657\) | 3.18383 | + | 7.49745i | 0.124213 | + | 0.292503i | ||||
\(658\) | −1.58993 | − | 1.15515i | −0.0619820 | − | 0.0450325i | ||||
\(659\) | 17.3976 | + | 19.3219i | 0.677713 | + | 0.752676i | 0.979664 | − | 0.200647i | \(-0.0643045\pi\) |
−0.301951 | + | 0.953324i | \(0.597638\pi\) | |||||||
\(660\) | −7.55237 | − | 19.3708i | −0.293975 | − | 0.754005i | ||||
\(661\) | −0.252192 | + | 0.280088i | −0.00980913 | + | 0.0108941i | −0.748029 | − | 0.663666i | \(-0.769000\pi\) |
0.738220 | + | 0.674560i | \(0.235666\pi\) | |||||||
\(662\) | 9.24107 | − | 1.96425i | 0.359165 | − | 0.0763428i | ||||
\(663\) | 40.8822 | + | 16.1003i | 1.58773 | + | 0.625286i | ||||
\(664\) | −14.0638 | − | 2.98934i | −0.545780 | − | 0.116009i | ||||
\(665\) | −17.0465 | − | 3.37662i | −0.661034 | − | 0.130940i | ||||
\(666\) | −5.66574 | + | 12.1551i | −0.219543 | + | 0.470999i | ||||
\(667\) | −0.477375 | − | 0.346833i | −0.0184840 | − | 0.0134294i | ||||
\(668\) | −1.82479 | + | 3.16063i | −0.0706034 | + | 0.122289i | ||||
\(669\) | 23.2266 | + | 3.88498i | 0.897992 | + | 0.150202i | ||||
\(670\) | −14.6852 | + | 10.9842i | −0.567338 | + | 0.424357i | ||||
\(671\) | −33.3922 | − | 14.8672i | −1.28909 | − | 0.573940i | ||||
\(672\) | 3.42523 | − | 0.149810i | 0.132131 | − | 0.00577906i | ||||
\(673\) | 13.6092 | + | 2.89272i | 0.524595 | + | 0.111506i | 0.462594 | − | 0.886570i | \(-0.346919\pi\) |
0.0620005 | + | 0.998076i | \(0.480252\pi\) | |||||||
\(674\) | −29.5569 | −1.13849 | ||||||||
\(675\) | 11.8372 | + | 23.1275i | 0.455615 | + | 0.890177i | ||||
\(676\) | 17.3702 | 0.668083 | ||||||||
\(677\) | −11.4572 | − | 2.43530i | −0.440335 | − | 0.0935960i | −0.0175909 | − | 0.999845i | \(-0.505600\pi\) |
−0.422744 | + | 0.906249i | \(0.638933\pi\) | |||||||
\(678\) | −0.586204 | + | 0.0256390i | −0.0225130 | + | 0.000984660i | ||||
\(679\) | −19.9308 | − | 8.87378i | −0.764875 | − | 0.340544i | ||||
\(680\) | −3.04448 | + | 9.83251i | −0.116750 | + | 0.377060i | ||||
\(681\) | −26.6700 | − | 4.46094i | −1.02200 | − | 0.170944i | ||||
\(682\) | −13.9264 | + | 24.1212i | −0.533268 | + | 0.923647i | ||||
\(683\) | 31.4521 | + | 22.8513i | 1.20348 | + | 0.874380i | 0.994623 | − | 0.103567i | \(-0.0330255\pi\) |
0.208858 | + | 0.977946i | \(0.433025\pi\) | |||||||
\(684\) | 6.75725 | + | 9.64722i | 0.258370 | + | 0.368871i | ||||
\(685\) | −1.29821 | − | 10.8941i | −0.0496022 | − | 0.416243i | ||||
\(686\) | 19.5203 | + | 4.14916i | 0.745288 | + | 0.158416i | ||||
\(687\) | 4.86183 | + | 1.91470i | 0.185490 | + | 0.0730502i | ||||
\(688\) | −6.21320 | + | 1.32066i | −0.236876 | + | 0.0503496i | ||||
\(689\) | 34.9442 | − | 38.8094i | 1.33127 | − | 1.47852i | ||||
\(690\) | −0.276123 | + | 0.0159215i | −0.0105118 | + | 0.000606120i | ||||
\(691\) | 21.2615 | + | 23.6133i | 0.808827 | + | 0.898294i | 0.996471 | − | 0.0839434i | \(-0.0267515\pi\) |
−0.187643 | + | 0.982237i | \(0.560085\pi\) | |||||||
\(692\) | 16.9747 | + | 12.3328i | 0.645281 | + | 0.468824i | ||||
\(693\) | 19.1809 | − | 25.4620i | 0.728623 | − | 0.967223i | ||||
\(694\) | 11.5359 | + | 8.38129i | 0.437895 | + | 0.318149i | ||||
\(695\) | −6.57787 | + | 1.49394i | −0.249513 | + | 0.0566682i | ||||
\(696\) | 6.60734 | − | 12.6950i | 0.250451 | − | 0.481201i | ||||
\(697\) | 46.5572 | + | 20.7286i | 1.76348 | + | 0.785151i | ||||
\(698\) | 14.7146 | − | 16.3422i | 0.556955 | − | 0.618562i | ||||
\(699\) | −21.6096 | − | 14.3007i | −0.817351 | − | 0.540903i | ||||
\(700\) | 8.16551 | + | 5.59284i | 0.308627 | + | 0.211390i | ||||
\(701\) | 38.3637 | 1.44898 | 0.724488 | − | 0.689288i | \(-0.242076\pi\) | ||||
0.724488 | + | 0.689288i | \(0.242076\pi\) | |||||||
\(702\) | −28.3897 | + | 3.74418i | −1.07150 | + | 0.141315i | ||||
\(703\) | −14.1987 | + | 10.3160i | −0.535515 | + | 0.389075i | ||||
\(704\) | 0.561130 | + | 5.33880i | 0.0211484 | + | 0.201213i | ||||
\(705\) | −1.72773 | + | 3.43522i | −0.0650701 | + | 0.129378i | ||||
\(706\) | 1.82017 | − | 17.3178i | 0.0685030 | − | 0.651763i | ||||
\(707\) | −9.87740 | − | 17.1082i | −0.371478 | − | 0.643418i | ||||
\(708\) | 9.17552 | + | 1.53474i | 0.344837 | + | 0.0576789i | ||||
\(709\) | 18.5314 | + | 20.5812i | 0.695961 | + | 0.772943i | 0.982728 | − | 0.185057i | \(-0.0592471\pi\) |
−0.286766 | + | 0.958001i | \(0.592580\pi\) | |||||||
\(710\) | −10.1891 | − | 2.01829i | −0.382391 | − | 0.0757452i | ||||
\(711\) | 2.68007 | + | 13.7765i | 0.100510 | + | 0.516661i | ||||
\(712\) | 4.98984 | − | 15.3572i | 0.187002 | − | 0.575534i | ||||
\(713\) | 0.247929 | + | 0.275353i | 0.00928502 | + | 0.0103121i | ||||
\(714\) | −15.2791 | + | 3.95268i | −0.571806 | + | 0.147925i | ||||
\(715\) | 54.0522 | + | 38.1357i | 2.02144 | + | 1.42620i | ||||
\(716\) | 17.8116 | − | 3.78598i | 0.665652 | − | 0.141489i | ||||
\(717\) | 2.30657 | − | 2.79852i | 0.0861403 | − | 0.104513i | ||||
\(718\) | 12.1362 | − | 21.0205i | 0.452919 | − | 0.784478i | ||||
\(719\) | 19.9616 | + | 14.5030i | 0.744443 | + | 0.540870i | 0.894099 | − | 0.447869i | \(-0.147817\pi\) |
−0.149656 | + | 0.988738i | \(0.547817\pi\) | |||||||
\(720\) | −1.37231 | − | 6.56634i | −0.0511429 | − | 0.244713i | ||||
\(721\) | 16.6865 | − | 12.1235i | 0.621439 | − | 0.451502i | ||||
\(722\) | −0.374802 | − | 3.56600i | −0.0139487 | − | 0.132713i | ||||
\(723\) | −4.88755 | − | 4.97285i | −0.181770 | − | 0.184942i | ||||
\(724\) | 5.43140 | + | 9.40746i | 0.201856 | + | 0.349626i | ||||
\(725\) | 37.2607 | − | 17.8455i | 1.38383 | − | 0.662764i | ||||
\(726\) | 25.7359 | + | 17.0314i | 0.955148 | + | 0.632094i | ||||
\(727\) | 15.6446 | + | 3.32537i | 0.580227 | + | 0.123331i | 0.488670 | − | 0.872469i | \(-0.337482\pi\) |
0.0915570 | + | 0.995800i | \(0.470816\pi\) | |||||||
\(728\) | −8.82522 | + | 6.41190i | −0.327084 | + | 0.237641i | ||||
\(729\) | 26.0768 | − | 7.00004i | 0.965807 | − | 0.259261i | ||||
\(730\) | 2.96232 | − | 5.29952i | 0.109640 | − | 0.196144i | ||||
\(731\) | 26.7117 | − | 11.8928i | 0.987966 | − | 0.439871i | ||||
\(732\) | −9.83500 | − | 6.50857i | −0.363512 | − | 0.240564i | ||||
\(733\) | 4.29473 | − | 40.8616i | 0.158630 | − | 1.50926i | −0.568457 | − | 0.822713i | \(-0.692459\pi\) |
0.727086 | − | 0.686546i | \(-0.240874\pi\) | |||||||
\(734\) | −20.3319 | + | 4.32168i | −0.750465 | + | 0.159516i | ||||
\(735\) | 0.562234 | − | 11.9224i | 0.0207383 | − | 0.439766i | ||||
\(736\) | 0.0698526 | + | 0.0148476i | 0.00257480 | + | 0.000547291i | ||||
\(737\) | 13.6049 | − | 41.8715i | 0.501142 | − | 1.54236i | ||||
\(738\) | −33.0869 | + | 2.89981i | −1.21795 | + | 0.106744i | ||||
\(739\) | 9.15076 | + | 28.1631i | 0.336616 | + | 1.03600i | 0.965920 | + | 0.258839i | \(0.0833400\pi\) |
−0.629304 | + | 0.777159i | \(0.716660\pi\) | |||||||
\(740\) | 9.74749 | − | 2.21381i | 0.358325 | − | 0.0813811i | ||||
\(741\) | −34.8689 | − | 13.7321i | −1.28094 | − | 0.504463i | ||||
\(742\) | −1.96074 | + | 18.6552i | −0.0719809 | + | 0.684852i | ||||
\(743\) | −1.18649 | − | 2.05506i | −0.0435281 | − | 0.0753929i | 0.843441 | − | 0.537223i | \(-0.180526\pi\) |
−0.886969 | + | 0.461830i | \(0.847193\pi\) | |||||||
\(744\) | −5.71570 | + | 6.93478i | −0.209548 | + | 0.254241i | ||||
\(745\) | 1.65543 | − | 18.1750i | 0.0606503 | − | 0.665881i | ||||
\(746\) | 1.62277 | − | 1.17901i | 0.0594140 | − | 0.0431668i | ||||
\(747\) | −37.7225 | + | 20.9175i | −1.38020 | + | 0.765330i | ||||
\(748\) | −7.63609 | − | 23.5015i | −0.279203 | − | 0.859299i | ||||
\(749\) | 9.23502 | − | 15.9955i | 0.337440 | − | 0.584464i | ||||
\(750\) | 8.21720 | − | 17.5350i | 0.300050 | − | 0.640289i | ||||
\(751\) | −6.78864 | − | 11.7583i | −0.247721 | − | 0.429065i | 0.715172 | − | 0.698948i | \(-0.246348\pi\) |
−0.962893 | + | 0.269883i | \(0.913015\pi\) | |||||||
\(752\) | 0.664335 | − | 0.737819i | 0.0242258 | − | 0.0269055i | ||||
\(753\) | 13.3786 | − | 0.585142i | 0.487542 | − | 0.0213238i | ||||
\(754\) | 4.75973 | + | 45.2858i | 0.173339 | + | 1.64921i | ||||
\(755\) | −23.6112 | + | 10.9078i | −0.859301 | + | 0.396974i | ||||
\(756\) | 7.45923 | − | 7.08179i | 0.271290 | − | 0.257562i | ||||
\(757\) | −4.40998 | −0.160283 | −0.0801416 | − | 0.996783i | \(-0.525537\pi\) | ||||
−0.0801416 | + | 0.996783i | \(0.525537\pi\) | |||||||
\(758\) | 1.93048 | − | 0.859505i | 0.0701182 | − | 0.0312186i | ||||
\(759\) | 0.519620 | − | 0.413389i | 0.0188610 | − | 0.0150051i | ||||
\(760\) | 2.59667 | − | 8.38625i | 0.0941910 | − | 0.304201i | ||||
\(761\) | −17.0928 | + | 18.9835i | −0.619613 | + | 0.688150i | −0.968500 | − | 0.249015i | \(-0.919893\pi\) |
0.348886 | + | 0.937165i | \(0.386560\pi\) | |||||||
\(762\) | −5.16412 | − | 34.5359i | −0.187076 | − | 1.25110i | ||||
\(763\) | 15.1757 | + | 16.8543i | 0.549397 | + | 0.610167i | ||||
\(764\) | 1.01600 | + | 3.12692i | 0.0367575 | + | 0.113128i | ||||
\(765\) | 12.4633 | + | 28.2522i | 0.450613 | + | 1.02146i | ||||
\(766\) | 3.53779 | − | 10.8882i | 0.127825 | − | 0.393406i | ||||
\(767\) | −27.0406 | + | 12.0392i | −0.976378 | + | 0.434711i | ||||
\(768\) | −0.105607 | + | 1.72883i | −0.00381078 | + | 0.0623837i | ||||
\(769\) | 2.22278 | − | 21.1484i | 0.0801556 | − | 0.762630i | −0.878439 | − | 0.477855i | \(-0.841414\pi\) |
0.958594 | − | 0.284775i | \(-0.0919189\pi\) | |||||||
\(770\) | −23.7584 | + | 0.329967i | −0.856192 | + | 0.0118912i | ||||
\(771\) | −2.38181 | − | 3.73807i | −0.0857789 | − | 0.134623i | ||||
\(772\) | −0.0279947 | − | 0.266351i | −0.00100755 | − | 0.00958620i | ||||
\(773\) | −3.20008 | − | 9.84884i | −0.115099 | − | 0.354238i | 0.876869 | − | 0.480730i | \(-0.159628\pi\) |
−0.991968 | + | 0.126492i | \(0.959628\pi\) | |||||||
\(774\) | −11.4659 | + | 15.2206i | −0.412132 | + | 0.547092i | ||||
\(775\) | −25.2158 | + | 6.09634i | −0.905779 | + | 0.218987i | ||||
\(776\) | 5.51088 | − | 9.54512i | 0.197829 | − | 0.342650i | ||||
\(777\) | 10.7431 | + | 10.9306i | 0.385406 | + | 0.392133i | ||||
\(778\) | −33.1294 | − | 14.7502i | −1.18775 | − | 0.528819i | ||||
\(779\) | −39.7091 | − | 17.6796i | −1.42273 | − | 0.633438i | ||||
\(780\) | 15.1711 | + | 15.0130i | 0.543212 | + | 0.537552i | ||||
\(781\) | 22.7807 | − | 10.1426i | 0.815159 | − | 0.362932i | ||||
\(782\) | −0.328729 | −0.0117553 | ||||||||
\(783\) | −10.0324 | − | 41.7459i | −0.358529 | − | 1.49188i | ||||
\(784\) | −0.952323 | + | 2.93095i | −0.0340115 | + | 0.104677i | ||||
\(785\) | 0.821529 | − | 9.01958i | 0.0293216 | − | 0.321923i | ||||
\(786\) | −2.24406 | + | 8.09420i | −0.0800428 | + | 0.288711i | ||||
\(787\) | 46.2163 | − | 9.82358i | 1.64743 | − | 0.350173i | 0.711592 | − | 0.702593i | \(-0.247975\pi\) |
0.935842 | + | 0.352420i | \(0.114641\pi\) | |||||||
\(788\) | 2.94082 | − | 0.625091i | 0.104763 | − | 0.0222680i | ||||
\(789\) | −14.0667 | − | 14.3122i | −0.500788 | − | 0.509528i | ||||
\(790\) | 6.89109 | − | 7.87044i | 0.245174 | − | 0.280018i | ||||
\(791\) | −0.207219 | + | 0.637755i | −0.00736787 | + | 0.0226760i | ||||
\(792\) | 11.7798 | + | 10.9815i | 0.418578 | + | 0.390211i | ||||
\(793\) | 37.5240 | 1.33252 | ||||||||
\(794\) | 3.13691 | − | 1.39664i | 0.111325 | − | 0.0495650i | ||||
\(795\) | 36.6408 | − | 2.11274i | 1.29952 | − | 0.0749311i | ||||
\(796\) | −6.14914 | − | 2.73777i | −0.217950 | − | 0.0970378i | ||||
\(797\) | −28.8688 | − | 12.8532i | −1.02259 | − | 0.455285i | −0.174227 | − | 0.984705i | \(-0.555743\pi\) |
−0.848359 | + | 0.529421i | \(0.822409\pi\) | |||||||
\(798\) | 13.0317 | − | 3.37128i | 0.461317 | − | 0.119342i | ||||
\(799\) | −2.28510 | + | 3.95792i | −0.0808412 | + | 0.140021i | ||||
\(800\) | −3.24117 | + | 3.80721i | −0.114593 | + | 0.134605i | ||||
\(801\) | −18.9348 | − | 44.5886i | −0.669027 | − | 1.57546i | ||||
\(802\) | −6.33932 | − | 19.5104i | −0.223849 | − | 0.688937i | ||||
\(803\) | 1.52355 | + | 14.4956i | 0.0537650 | + | 0.511540i | ||||
\(804\) | 6.55822 | − | 12.6006i | 0.231291 | − | 0.444388i | ||||
\(805\) | −0.0934922 | + | 0.301944i | −0.00329517 | + | 0.0106421i | ||||
\(806\) | 2.98880 | − | 28.4365i | 0.105276 | − | 1.00163i | ||||
\(807\) | 15.1935 | + | 10.0547i | 0.534835 | + | 0.353941i | ||||
\(808\) | 9.11713 | − | 4.05921i | 0.320740 | − | 0.142802i | ||||
\(809\) | −11.9888 | + | 36.8978i | −0.421505 | + | 1.29726i | 0.484797 | + | 0.874627i | \(0.338893\pi\) |
−0.906302 | + | 0.422631i | \(0.861107\pi\) | |||||||
\(810\) | −16.0327 | − | 12.1636i | −0.563330 | − | 0.427387i | ||||
\(811\) | −4.81450 | − | 14.8175i | −0.169060 | − | 0.520314i | 0.830252 | − | 0.557388i | \(-0.188196\pi\) |
−0.999313 | + | 0.0370741i | \(0.988196\pi\) | |||||||
\(812\) | −10.9441 | − | 12.1546i | −0.384062 | − | 0.426544i | ||||
\(813\) | −12.5583 | + | 9.99087i | −0.440438 | + | 0.350395i | ||||
\(814\) | −16.0572 | + | 17.8333i | −0.562804 | + | 0.625057i | ||||
\(815\) | 15.2482 | − | 11.4053i | 0.534122 | − | 0.399512i | ||||
\(816\) | −1.17908 | − | 7.88531i | −0.0412761 | − | 0.276041i | ||||
\(817\) | −22.7826 | + | 10.1435i | −0.797063 | + | 0.354875i | ||||
\(818\) | −10.4639 | −0.365861 | ||||||||
\(819\) | −7.35682 | + | 31.8881i | −0.257068 | + | 1.11426i | ||||
\(820\) | 16.8189 | + | 18.1655i | 0.587343 | + | 0.634368i | ||||
\(821\) | 3.12558 | + | 29.7379i | 0.109084 | + | 1.03786i | 0.902943 | + | 0.429760i | \(0.141402\pi\) |
−0.793860 | + | 0.608101i | \(0.791932\pi\) | |||||||
\(822\) | 4.56665 | + | 7.16700i | 0.159280 | + | 0.249978i | ||||
\(823\) | −19.3176 | + | 21.4543i | −0.673368 | + | 0.747850i | −0.978902 | − | 0.204331i | \(-0.934498\pi\) |
0.305534 | + | 0.952181i | \(0.401165\pi\) | |||||||
\(824\) | 5.20996 | + | 9.02391i | 0.181498 | + | 0.314363i | ||||
\(825\) | 8.14942 | + | 45.7702i | 0.283726 | + | 1.59351i | ||||
\(826\) | 5.31589 | − | 9.20740i | 0.184964 | − | 0.320366i | ||||
\(827\) | −2.22259 | − | 6.84044i | −0.0772871 | − | 0.237865i | 0.904947 | − | 0.425524i | \(-0.139910\pi\) |
−0.982234 | + | 0.187659i | \(0.939910\pi\) | |||||||
\(828\) | 0.187362 | − | 0.103894i | 0.00651128 | − | 0.00361056i | ||||
\(829\) | −18.3895 | + | 13.3608i | −0.638694 | + | 0.464038i | −0.859401 | − | 0.511302i | \(-0.829163\pi\) |
0.220707 | + | 0.975340i | \(0.429163\pi\) | |||||||
\(830\) | 29.5493 | + | 12.6675i | 1.02567 | + | 0.439695i | ||||
\(831\) | −13.8434 | − | 2.31551i | −0.480222 | − | 0.0803240i | ||||
\(832\) | −2.75546 | − | 4.77259i | −0.0955283 | − | 0.165460i | ||||
\(833\) | 1.48285 | − | 14.1083i | 0.0513776 | − | 0.488825i | ||||
\(834\) | 4.08884 | − | 3.25292i | 0.141585 | − | 0.112639i | ||||
\(835\) | 5.37584 | − | 6.13984i | 0.186039 | − | 0.212478i | ||||
\(836\) | 6.51290 | + | 20.0446i | 0.225253 | + | 0.693258i | ||||
\(837\) | 0.711894 | + | 26.9506i | 0.0246067 | + | 0.931550i | ||||
\(838\) | −7.70451 | + | 23.7120i | −0.266148 | + | 0.819119i | ||||
\(839\) | 14.7477 | + | 3.13471i | 0.509146 | + | 0.108222i | 0.455320 | − | 0.890328i | \(-0.349525\pi\) |
0.0538264 | + | 0.998550i | \(0.482858\pi\) | |||||||
\(840\) | −7.57816 | − | 1.15961i | −0.261471 | − | 0.0400104i | ||||
\(841\) | −38.4147 | + | 8.16530i | −1.32465 | + | 0.281562i | ||||
\(842\) | 1.26673 | − | 12.0521i | 0.0436543 | − | 0.415343i | ||||
\(843\) | 29.4806 | − | 14.7013i | 1.01536 | − | 0.506339i | ||||
\(844\) | −13.0853 | + | 5.82593i | −0.450413 | + | 0.200537i | ||||
\(845\) | −38.1006 | − | 7.54709i | −1.31070 | − | 0.259628i | ||||
\(846\) | 0.0515280 | − | 2.97806i | 0.00177157 | − | 0.102388i | ||||
\(847\) | 28.5333 | − | 20.7306i | 0.980415 | − | 0.712313i | ||||
\(848\) | −9.26925 | − | 1.97024i | −0.318307 | − | 0.0676583i | ||||
\(849\) | 3.30499 | − | 54.1038i | 0.113427 | − | 1.85684i | ||||
\(850\) | 10.9500 | − | 20.2443i | 0.375582 | − | 0.694375i | ||||
\(851\) | 0.159616 | + | 0.276463i | 0.00547157 | + | 0.00947704i | ||||
\(852\) | 7.78937 | − | 2.01510i | 0.266859 | − | 0.0690362i | ||||
\(853\) | 5.78432 | + | 55.0341i | 0.198051 | + | 1.88433i | 0.417456 | + | 0.908697i | \(0.362922\pi\) |
−0.219404 | + | 0.975634i | \(0.570411\pi\) | |||||||
\(854\) | −10.9040 | + | 7.92225i | −0.373128 | + | 0.271094i | ||||
\(855\) | −10.6301 | − | 24.0966i | −0.363542 | − | 0.824087i | ||||
\(856\) | 7.54886 | + | 5.48457i | 0.258015 | + | 0.187459i | ||||
\(857\) | −10.7645 | + | 18.6446i | −0.367707 | + | 0.636887i | −0.989207 | − | 0.146527i | \(-0.953190\pi\) |
0.621500 | + | 0.783415i | \(0.286524\pi\) | |||||||
\(858\) | −50.5384 | − | 8.45327i | −1.72535 | − | 0.288590i | ||||
\(859\) | 25.6056 | − | 5.44264i | 0.873651 | − | 0.185700i | 0.250799 | − | 0.968039i | \(-0.419307\pi\) |
0.622853 | + | 0.782339i | \(0.285973\pi\) | |||||||
\(860\) | 14.2021 | − | 0.197246i | 0.484289 | − | 0.00672604i | ||||
\(861\) | −10.1410 | + | 36.5781i | −0.345605 | + | 1.24658i | ||||
\(862\) | −9.27155 | − | 10.2971i | −0.315790 | − | 0.350721i | ||||
\(863\) | 14.5485 | − | 44.7758i | 0.495238 | − | 1.52419i | −0.321347 | − | 0.946961i | \(-0.604136\pi\) |
0.816585 | − | 0.577225i | \(-0.195864\pi\) | |||||||
\(864\) | 3.16416 | + | 4.12166i | 0.107647 | + | 0.140222i | ||||
\(865\) | −31.8747 | − | 34.4267i | −1.08377 | − | 1.17054i | ||||
\(866\) | 6.95693 | + | 7.72645i | 0.236406 | + | 0.262556i | ||||
\(867\) | 2.54173 | + | 6.79659i | 0.0863217 | + | 0.230824i | ||||
\(868\) | 5.13515 | + | 8.89433i | 0.174298 | + | 0.301893i | ||||
\(869\) | −2.62512 | + | 24.9763i | −0.0890510 | + | 0.847264i | ||||
\(870\) | −20.0087 | + | 24.9749i | −0.678357 | + | 0.846730i | ||||
\(871\) | 4.72434 | + | 44.9491i | 0.160078 | + | 1.52304i | ||||
\(872\) | −9.26938 | + | 6.73460i | −0.313901 | + | 0.228062i | ||||
\(873\) | −6.31410 | − | 32.4568i | −0.213700 | − | 1.09850i | ||||
\(874\) | 0.280376 | 0.00948386 | ||||||||
\(875\) | −15.4806 | − | 15.8154i | −0.523341 | − | 0.534659i | ||||
\(876\) | −0.286740 | + | 4.69403i | −0.00968805 | + | 0.158597i | ||||
\(877\) | −17.7657 | + | 19.7308i | −0.599905 | + | 0.666261i | −0.964247 | − | 0.265003i | \(-0.914627\pi\) |
0.364343 | + | 0.931265i | \(0.381294\pi\) | |||||||
\(878\) | 10.5949 | + | 4.71713i | 0.357559 | + | 0.159196i | ||||
\(879\) | 23.8574 | + | 37.4423i | 0.804689 | + | 1.26290i | ||||
\(880\) | 1.08882 | − | 11.9542i | 0.0367041 | − | 0.402976i | ||||
\(881\) | −44.1405 | − | 32.0699i | −1.48713 | − | 1.08046i | −0.975171 | − | 0.221453i | \(-0.928920\pi\) |
−0.511959 | − | 0.859010i | \(-0.671080\pi\) | |||||||
\(882\) | 3.61374 | + | 8.50984i | 0.121681 | + | 0.286541i | ||||
\(883\) | 1.03158 | + | 0.749486i | 0.0347154 | + | 0.0252222i | 0.605008 | − | 0.796220i | \(-0.293170\pi\) |
−0.570292 | + | 0.821442i | \(0.693170\pi\) | |||||||
\(884\) | 16.9744 | + | 18.8520i | 0.570910 | + | 0.634060i | ||||
\(885\) | −19.4592 | − | 7.35300i | −0.654115 | − | 0.247169i | ||||
\(886\) | −10.6142 | + | 11.7882i | −0.356590 | + | 0.396033i | ||||
\(887\) | 10.7199 | − | 2.27859i | 0.359940 | − | 0.0765077i | −0.0243921 | − | 0.999702i | \(-0.507765\pi\) |
0.384332 | + | 0.923195i | \(0.374432\pi\) | |||||||
\(888\) | −6.05910 | + | 4.82038i | −0.203330 | + | 0.161761i | ||||
\(889\) | −39.0356 | − | 8.29727i | −1.30921 | − | 0.278282i | ||||
\(890\) | −17.6174 | + | 31.5171i | −0.590538 | + | 1.05646i | ||||
\(891\) | 48.2849 | + | 1.67141i | 1.61761 | + | 0.0559943i | ||||
\(892\) | 10.9995 | + | 7.99163i | 0.368292 | + | 0.267580i | ||||
\(893\) | 1.94899 | − | 3.37575i | 0.0652204 | − | 0.112965i | ||||
\(894\) | 4.95174 | + | 13.2410i | 0.165611 | + | 0.442844i | ||||
\(895\) | −40.7139 | + | 0.565454i | −1.36092 | + | 0.0189010i | ||||
\(896\) | 1.80832 | + | 0.805114i | 0.0604116 | + | 0.0268970i | ||||
\(897\) | −0.314705 | + | 0.604656i | −0.0105077 | + | 0.0201889i | ||||
\(898\) | −34.9111 | − | 7.42058i | −1.16500 | − | 0.247628i | ||||
\(899\) | 42.8709 | 1.42983 | ||||||||
\(900\) | 0.157112 | + | 14.9992i | 0.00523706 | + | 0.499973i | ||||
\(901\) | 43.6214 | 1.45324 | ||||||||
\(902\) | −58.1340 | − | 12.3568i | −1.93565 | − | 0.411435i | ||||
\(903\) | 11.7027 | + | 18.3664i | 0.389440 | + | 0.611195i | ||||
\(904\) | −0.309481 | − | 0.137790i | −0.0102932 | − | 0.00458282i | ||||
\(905\) | −7.82610 | − | 22.9947i | −0.260148 | − | 0.764368i | ||||
\(906\) | 12.8136 | − | 15.5465i | 0.425702 | − | 0.516498i | ||||
\(907\) | −7.12813 | + | 12.3463i | −0.236686 | + | 0.409951i | −0.959761 | − | 0.280817i | \(-0.909394\pi\) |
0.723076 | + | 0.690769i | \(0.242728\pi\) | |||||||
\(908\) | −12.6303 | − | 9.17642i | −0.419150 | − | 0.304530i | ||||
\(909\) | 12.6490 | − | 27.1366i | 0.419540 | − | 0.900065i | ||||
\(910\) | 22.1435 | − | 10.2297i | 0.734051 | − | 0.339113i | ||||
\(911\) | −38.7354 | − | 8.23346i | −1.28336 | − | 0.272787i | −0.484760 | − | 0.874647i | \(-0.661093\pi\) |
−0.798601 | + | 0.601861i | \(0.794426\pi\) | |||||||
\(912\) | 1.00565 | + | 6.72546i | 0.0333004 | + | 0.222702i | ||||
\(913\) | −75.4972 | + | 16.0474i | −2.49859 | + | 0.531092i | ||||
\(914\) | 6.51087 | − | 7.23105i | 0.215360 | − | 0.239182i | ||||
\(915\) | 18.7447 | + | 18.5494i | 0.619681 | + | 0.613224i | ||||
\(916\) | 2.01864 | + | 2.24193i | 0.0666977 | + | 0.0740753i | ||||
\(917\) | 7.76597 | + | 5.64231i | 0.256455 | + | 0.186325i | ||||
\(918\) | −18.1916 | − | 15.5299i | −0.600414 | − | 0.512564i | ||||
\(919\) | −41.6415 | − | 30.2543i | −1.37363 | − | 0.997999i | −0.997444 | − | 0.0714537i | \(-0.977236\pi\) |
−0.376184 | − | 0.926545i | \(-0.622764\pi\) | |||||||
\(920\) | −0.146767 | − | 0.0629175i | −0.00483876 | − | 0.00207433i | ||||
\(921\) | 33.8872 | − | 1.48214i | 1.11662 | − | 0.0488380i | ||||
\(922\) | −3.17431 | − | 1.41330i | −0.104540 | − | 0.0465444i | ||||
\(923\) | −17.1294 | + | 19.0242i | −0.563822 | + | 0.626188i | ||||
\(924\) | 16.4706 | − | 8.21349i | 0.541842 | − | 0.270204i | ||||
\(925\) | −22.3425 | + | 0.620726i | −0.734617 | + | 0.0204093i | ||||
\(926\) | 28.4203 | 0.933948 | ||||||||
\(927\) | 29.5582 | + | 10.1727i | 0.970820 | + | 0.334114i | ||||
\(928\) | 6.68470 | − | 4.85672i | 0.219436 | − | 0.159430i | ||||
\(929\) | −1.70597 | − | 16.2312i | −0.0559709 | − | 0.532528i | −0.986201 | − | 0.165551i | \(-0.947060\pi\) |
0.930230 | − | 0.366976i | \(-0.119607\pi\) | |||||||
\(930\) | 15.5502 | − | 12.7277i | 0.509910 | − | 0.417358i | ||||
\(931\) | −1.26473 | + | 12.0331i | −0.0414500 | + | 0.394370i | ||||
\(932\) | −7.48046 | − | 12.9565i | −0.245031 | − | 0.424405i | ||||
\(933\) | −30.1190 | + | 36.5430i | −0.986053 | + | 1.19636i | ||||
\(934\) | −10.9574 | − | 12.1695i | −0.358538 | − | 0.398197i | ||||
\(935\) | 6.53832 | + | 54.8671i | 0.213826 | + | 1.79434i | ||||
\(936\) | −15.6328 | − | 5.38015i | −0.510975 | − | 0.175856i | ||||
\(937\) | −6.49798 | + | 19.9987i | −0.212280 | + | 0.653330i | 0.787056 | + | 0.616882i | \(0.211604\pi\) |
−0.999336 | + | 0.0364483i | \(0.988396\pi\) | |||||||
\(938\) | −10.8627 | − | 12.0643i | −0.354680 | − | 0.393912i | ||||
\(939\) | −29.6996 | − | 30.2179i | −0.969209 | − | 0.986124i | ||||
\(940\) | −1.77776 | + | 1.32973i | −0.0579841 | + | 0.0433708i | ||||
\(941\) | 1.94007 | − | 0.412375i | 0.0632446 | − | 0.0134431i | −0.176181 | − | 0.984358i | \(-0.556374\pi\) |
0.239425 | + | 0.970915i | \(0.423041\pi\) | |||||||
\(942\) | 2.45737 | + | 6.57100i | 0.0800653 | + | 0.214095i | ||||
\(943\) | −0.395316 | + | 0.684708i | −0.0128733 | + | 0.0222972i | ||||
\(944\) | 4.34530 | + | 3.15704i | 0.141427 | + | 0.102753i | ||||
\(945\) | −19.4384 | + | 12.2926i | −0.632331 | + | 0.399879i | ||||
\(946\) | −27.5866 | + | 20.0428i | −0.896917 | + | 0.651648i | ||||
\(947\) | 2.19316 | + | 20.8665i | 0.0712681 | + | 0.678071i | 0.970583 | + | 0.240768i | \(0.0773994\pi\) |
−0.899315 | + | 0.437302i | \(0.855934\pi\) | |||||||
\(948\) | −2.16484 | + | 7.80846i | −0.0703107 | + | 0.253607i | ||||
\(949\) | −7.48148 | − | 12.9583i | −0.242859 | − | 0.420644i | ||||
\(950\) | −9.33936 | + | 17.2666i | −0.303009 | + | 0.560202i | ||||
\(951\) | 21.5287 | − | 10.7359i | 0.698117 | − | 0.348135i | ||||
\(952\) | −8.91268 | − | 1.89445i | −0.288862 | − | 0.0613994i | ||||
\(953\) | −30.2590 | + | 21.9845i | −0.980186 | + | 0.712147i | −0.957750 | − | 0.287601i | \(-0.907142\pi\) |
−0.0224362 | + | 0.999748i | \(0.507142\pi\) | |||||||
\(954\) | −24.8625 | + | 13.7864i | −0.804952 | + | 0.446353i | ||||
\(955\) | −0.869938 | − | 7.30018i | −0.0281505 | − | 0.236228i | ||||
\(956\) | 1.91278 | − | 0.851625i | 0.0618637 | − | 0.0275435i | ||||
\(957\) | 4.68433 | − | 76.6841i | 0.151423 | − | 2.47884i | ||||
\(958\) | −2.10674 | + | 20.0443i | −0.0680657 | + | 0.647602i | ||||
\(959\) | 9.49987 | − | 2.01926i | 0.306767 | − | 0.0652053i | ||||
\(960\) | 0.982796 | − | 3.74621i | 0.0317196 | − | 0.120909i | ||||
\(961\) | 3.99071 | + | 0.848253i | 0.128733 | + | 0.0273630i | ||||
\(962\) | 7.61263 | − | 23.4293i | 0.245441 | − | 0.755390i | ||||
\(963\) | 27.8858 | − | 2.44398i | 0.898608 | − | 0.0787560i | ||||
\(964\) | −1.24399 | − | 3.82862i | −0.0400663 | − | 0.123311i | ||||
\(965\) | −0.0543210 | + | 0.596392i | −0.00174866 | + | 0.0191985i | ||||
\(966\) | −0.0362081 | − | 0.242148i | −0.00116498 | − | 0.00779099i | ||||
\(967\) | −2.53561 | + | 24.1247i | −0.0815396 | + | 0.775797i | 0.874986 | + | 0.484148i | \(0.160871\pi\) |
−0.956525 | + | 0.291649i | \(0.905796\pi\) | |||||||
\(968\) | 8.90881 | + | 15.4305i | 0.286340 | + | 0.495955i | ||||
\(969\) | −10.9647 | − | 29.3196i | −0.352237 | − | 0.941882i | ||||
\(970\) | −16.2351 | + | 18.5423i | −0.521276 | + | 0.595359i | ||||
\(971\) | −26.0538 | + | 18.9292i | −0.836108 | + | 0.607468i | −0.921281 | − | 0.388898i | \(-0.872856\pi\) |
0.0851730 | + | 0.996366i | \(0.472856\pi\) | |||||||
\(972\) | 15.2767 | + | 3.10202i | 0.490000 | + | 0.0994972i | ||||
\(973\) | −1.84522 | − | 5.67900i | −0.0591550 | − | 0.182060i | ||||
\(974\) | −6.98339 | + | 12.0956i | −0.223762 | + | 0.387568i | ||||
\(975\) | −26.7541 | − | 39.5219i | −0.856816 | − | 1.26571i | ||||
\(976\) | −3.40452 | − | 5.89680i | −0.108976 | − | 0.188752i | ||||
\(977\) | −26.8936 | + | 29.8684i | −0.860404 | + | 0.955576i | −0.999397 | − | 0.0347178i | \(-0.988947\pi\) |
0.138993 | + | 0.990293i | \(0.455613\pi\) | |||||||
\(978\) | −6.80966 | + | 13.0837i | −0.217749 | + | 0.418370i | ||||
\(979\) | −9.06084 | − | 86.2081i | −0.289586 | − | 2.75522i | ||||
\(980\) | 3.36233 | − | 6.01512i | 0.107406 | − | 0.192146i | ||||
\(981\) | −7.72708 | + | 33.4930i | −0.246707 | + | 1.06935i | ||||
\(982\) | −23.0997 | −0.737141 | ||||||||
\(983\) | 41.8451 | − | 18.6306i | 1.33465 | − | 0.594225i | 0.389550 | − | 0.921005i | \(-0.372630\pi\) |
0.945100 | + | 0.326780i | \(0.105964\pi\) | |||||||
\(984\) | −17.8422 | − | 7.02666i | −0.568789 | − | 0.224002i | ||||
\(985\) | −6.72214 | + | 0.0933603i | −0.214185 | + | 0.00297471i | ||||
\(986\) | −25.4504 | + | 28.2655i | −0.810506 | + | 0.900158i | ||||
\(987\) | −3.16718 | − | 1.24731i | −0.100812 | − | 0.0397022i | ||||
\(988\) | −14.4776 | − | 16.0790i | −0.460594 | − | 0.511542i | ||||
\(989\) | 0.140175 | + | 0.431415i | 0.00445731 | + | 0.0137182i | ||||
\(990\) | −21.0672 | − | 29.2056i | −0.669559 | − | 0.928215i | ||||
\(991\) | −5.45389 | + | 16.7853i | −0.173248 | + | 0.533204i | −0.999549 | − | 0.0300254i | \(-0.990441\pi\) |
0.826301 | + | 0.563229i | \(0.190441\pi\) | |||||||
\(992\) | −4.73990 | + | 2.11034i | −0.150492 | + | 0.0670033i | ||||
\(993\) | 14.6438 | − | 7.30252i | 0.464706 | − | 0.231738i | ||||
\(994\) | 0.961142 | − | 9.14465i | 0.0304856 | − | 0.290051i | ||||
\(995\) | 12.2983 | + | 8.67688i | 0.389882 | + | 0.275076i | ||||
\(996\) | −24.8796 | + | 1.08817i | −0.788339 | + | 0.0344798i | ||||
\(997\) | 4.08649 | + | 38.8803i | 0.129420 | + | 1.23135i | 0.845746 | + | 0.533586i | \(0.179156\pi\) |
−0.716325 | + | 0.697766i | \(0.754177\pi\) | |||||||
\(998\) | 10.9650 | + | 33.7469i | 0.347092 | + | 1.06824i | ||||
\(999\) | −4.22774 | + | 22.8400i | −0.133760 | + | 0.722625i |
(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 | 450.2.q.c.331.15 | yes | 120 | |
9.4 | even | 3 | inner | 450.2.q.c.31.9 | ✓ | 120 | |
25.21 | even | 5 | inner | 450.2.q.c.421.9 | yes | 120 | |
225.121 | even | 15 | inner | 450.2.q.c.121.15 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.c.31.9 | ✓ | 120 | 9.4 | even | 3 | inner | |
450.2.q.c.121.15 | yes | 120 | 225.121 | even | 15 | inner | |
450.2.q.c.331.15 | yes | 120 | 1.1 | even | 1 | trivial | |
450.2.q.c.421.9 | yes | 120 | 25.21 | even | 5 | inner |