Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 99.6 | ||
Character | \(\chi\) | \(=\) | 950.99 |
Dual form | 950.2.u.g.499.6 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | − | 0.939693i | 0.241845 | − | 0.664463i | ||||
\(3\) | 3.16698 | − | 0.558424i | 1.82846 | − | 0.322406i | 0.849675 | − | 0.527307i | \(-0.176798\pi\) |
0.978783 | + | 0.204901i | \(0.0656872\pi\) | |||||||
\(4\) | −0.766044 | − | 0.642788i | −0.383022 | − | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.558424 | − | 3.16698i | 0.227976 | − | 1.29291i | ||||
\(7\) | −0.0202608 | − | 0.0116976i | −0.00765785 | − | 0.00442126i | 0.496166 | − | 0.868228i | \(-0.334741\pi\) |
−0.503824 | + | 0.863806i | \(0.668074\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 6.89886 | − | 2.51098i | 2.29962 | − | 0.836993i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.08041 | − | 1.87132i | −0.325755 | − | 0.564225i | 0.655910 | − | 0.754839i | \(-0.272285\pi\) |
−0.981665 | + | 0.190615i | \(0.938952\pi\) | |||||||
\(12\) | −2.78500 | − | 1.60792i | −0.803959 | − | 0.464166i | ||||
\(13\) | −1.56613 | − | 0.276152i | −0.434368 | − | 0.0765907i | −0.0478110 | − | 0.998856i | \(-0.515225\pi\) |
−0.386557 | + | 0.922266i | \(0.626336\pi\) | |||||||
\(14\) | −0.0179217 | + | 0.0150381i | −0.00478977 | + | 0.00401910i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 2.72922 | − | 7.49847i | 0.661933 | − | 1.81865i | 0.0939966 | − | 0.995573i | \(-0.470036\pi\) |
0.567936 | − | 0.823073i | \(-0.307742\pi\) | |||||||
\(18\) | − | 7.34161i | − | 1.73043i | ||||||
\(19\) | −1.06458 | + | 4.22690i | −0.244232 | + | 0.969717i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.0706976 | − | 0.0257318i | −0.0154275 | − | 0.00561515i | ||||
\(22\) | −2.12799 | + | 0.375222i | −0.453689 | + | 0.0799976i | ||||
\(23\) | −2.88011 | + | 3.43239i | −0.600545 | + | 0.715702i | −0.977596 | − | 0.210491i | \(-0.932494\pi\) |
0.377050 | + | 0.926193i | \(0.376938\pi\) | |||||||
\(24\) | −2.46347 | + | 2.06710i | −0.502855 | + | 0.421945i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.795147 | + | 1.37724i | −0.155941 | + | 0.270098i | ||||
\(27\) | 12.0914 | − | 6.98095i | 2.32698 | − | 1.34348i | ||||
\(28\) | 0.00800160 | + | 0.0219842i | 0.00151216 | + | 0.00415463i | ||||
\(29\) | 7.09702 | − | 2.58310i | 1.31788 | − | 0.479670i | 0.415104 | − | 0.909774i | \(-0.363745\pi\) |
0.902780 | + | 0.430104i | \(0.141523\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.22993 | + | 3.86236i | −0.400508 | + | 0.693700i | −0.993787 | − | 0.111297i | \(-0.964500\pi\) |
0.593279 | + | 0.804997i | \(0.297833\pi\) | |||||||
\(32\) | 0.984808 | + | 0.173648i | 0.174091 | + | 0.0306970i | ||||
\(33\) | −4.46663 | − | 5.32312i | −0.777540 | − | 0.926636i | ||||
\(34\) | −6.11281 | − | 5.12925i | −1.04834 | − | 0.879660i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −6.89886 | − | 2.51098i | −1.14981 | − | 0.418496i | ||||
\(37\) | 0.389132i | 0.0639729i | 0.999488 | + | 0.0319864i | \(0.0101833\pi\) | ||||
−0.999488 | + | 0.0319864i | \(0.989817\pi\) | |||||||
\(38\) | 3.60788 | + | 2.44606i | 0.585275 | + | 0.396804i | ||||
\(39\) | −5.11413 | −0.818916 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.972920 | + | 5.51771i | 0.151945 | + | 0.861721i | 0.961526 | + | 0.274713i | \(0.0885830\pi\) |
−0.809582 | + | 0.587007i | \(0.800306\pi\) | |||||||
\(42\) | −0.0483600 | + | 0.0576332i | −0.00746212 | + | 0.00889300i | ||||
\(43\) | 6.23734 | + | 7.43337i | 0.951185 | + | 1.13358i | 0.990931 | + | 0.134369i | \(0.0429007\pi\) |
−0.0397459 | + | 0.999210i | \(0.512655\pi\) | |||||||
\(44\) | −0.375222 | + | 2.12799i | −0.0565668 | + | 0.320806i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.24033 | + | 3.88037i | 0.330319 | + | 0.572129i | ||||
\(47\) | 1.46211 | + | 4.01711i | 0.213271 | + | 0.585956i | 0.999488 | − | 0.0319938i | \(-0.0101857\pi\) |
−0.786218 | + | 0.617950i | \(0.787963\pi\) | |||||||
\(48\) | 1.09988 | + | 3.02190i | 0.158754 | + | 0.436173i | ||||
\(49\) | −3.49973 | − | 6.06170i | −0.499961 | − | 0.865958i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.45606 | − | 25.2716i | 0.623973 | − | 3.53873i | ||||
\(52\) | 1.02222 | + | 1.21824i | 0.141757 | + | 0.168939i | ||||
\(53\) | 2.43113 | − | 2.89731i | 0.333941 | − | 0.397976i | −0.572778 | − | 0.819711i | \(-0.694134\pi\) |
0.906719 | + | 0.421735i | \(0.138579\pi\) | |||||||
\(54\) | −2.42446 | − | 13.7498i | −0.329927 | − | 1.87111i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.0233951 | 0.00312630 | ||||||||
\(57\) | −1.01111 | + | 13.9810i | −0.133925 | + | 1.85183i | ||||
\(58\) | − | 7.55249i | − | 0.991691i | ||||||
\(59\) | −3.41426 | − | 1.24269i | −0.444499 | − | 0.161784i | 0.110067 | − | 0.993924i | \(-0.464893\pi\) |
−0.554566 | + | 0.832140i | \(0.687116\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.84152 | − | 7.41891i | −1.13204 | − | 0.949894i | −0.132891 | − | 0.991131i | \(-0.542426\pi\) |
−0.999149 | + | 0.0412364i | \(0.986870\pi\) | |||||||
\(62\) | 2.86675 | + | 3.41646i | 0.364077 | + | 0.433890i | ||||
\(63\) | −0.169148 | − | 0.0298254i | −0.0213107 | − | 0.00375765i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.52977 | + | 2.37664i | −0.803759 | + | 0.292544i | ||||
\(67\) | 1.31913 | + | 3.62429i | 0.161158 | + | 0.442778i | 0.993820 | − | 0.111004i | \(-0.0354066\pi\) |
−0.832662 | + | 0.553781i | \(0.813184\pi\) | |||||||
\(68\) | −6.91062 | + | 3.98985i | −0.838036 | + | 0.483840i | ||||
\(69\) | −7.20454 | + | 12.4786i | −0.867325 | + | 1.50225i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.85813 | + | 8.27195i | −1.16994 | + | 0.981700i | −0.999993 | − | 0.00375214i | \(-0.998806\pi\) |
−0.169952 | + | 0.985452i | \(0.554361\pi\) | |||||||
\(72\) | −4.71909 | + | 5.62400i | −0.556151 | + | 0.662795i | ||||
\(73\) | 1.87269 | − | 0.330206i | 0.219182 | − | 0.0386477i | −0.0629785 | − | 0.998015i | \(-0.520060\pi\) |
0.282161 | + | 0.959367i | \(0.408949\pi\) | |||||||
\(74\) | 0.365664 | + | 0.133091i | 0.0425076 | + | 0.0154715i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.53251 | − | 2.55369i | 0.405207 | − | 0.292928i | ||||
\(77\) | 0.0505526i | 0.00576100i | ||||||||
\(78\) | −1.74914 | + | 4.80571i | −0.198051 | + | 0.544139i | ||||
\(79\) | 1.65165 | + | 9.36698i | 0.185825 | + | 1.05387i | 0.924891 | + | 0.380233i | \(0.124156\pi\) |
−0.739065 | + | 0.673634i | \(0.764733\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 17.5228 | − | 14.7034i | 1.94698 | − | 1.63371i | ||||
\(82\) | 5.51771 | + | 0.972920i | 0.609329 | + | 0.107441i | ||||
\(83\) | 2.27622 | + | 1.31417i | 0.249847 | + | 0.144249i | 0.619694 | − | 0.784843i | \(-0.287257\pi\) |
−0.369847 | + | 0.929093i | \(0.620590\pi\) | |||||||
\(84\) | 0.0376174 | + | 0.0651553i | 0.00410440 | + | 0.00710903i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 9.11838 | − | 3.31882i | 0.983260 | − | 0.357877i | ||||
\(87\) | 21.0337 | − | 12.1438i | 2.25505 | − | 1.30195i | ||||
\(88\) | 1.87132 | + | 1.08041i | 0.199484 | + | 0.115172i | ||||
\(89\) | −1.54115 | + | 8.74032i | −0.163362 | + | 0.926472i | 0.787375 | + | 0.616474i | \(0.211439\pi\) |
−0.950737 | + | 0.309998i | \(0.899672\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0285008 | + | 0.0239150i | 0.00298769 | + | 0.00250697i | ||||
\(92\) | 4.41259 | − | 0.778059i | 0.460045 | − | 0.0811183i | ||||
\(93\) | −4.90532 | + | 13.4773i | −0.508658 | + | 1.39753i | ||||
\(94\) | 4.27492 | 0.440924 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.21584 | 0.328215 | ||||||||
\(97\) | −3.81486 | + | 10.4812i | −0.387340 | + | 1.06421i | 0.580854 | + | 0.814008i | \(0.302719\pi\) |
−0.968194 | + | 0.250201i | \(0.919503\pi\) | |||||||
\(98\) | −6.89312 | + | 1.21544i | −0.696310 | + | 0.122778i | ||||
\(99\) | −12.1524 | − | 10.1971i | −1.22137 | − | 1.02485i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.23809 | + | 18.3641i | −0.322202 | + | 1.82730i | 0.206449 | + | 0.978457i | \(0.433809\pi\) |
−0.528651 | + | 0.848840i | \(0.677302\pi\) | |||||||
\(102\) | −22.2234 | − | 12.8307i | −2.20045 | − | 1.27043i | ||||
\(103\) | 3.06218 | − | 1.76795i | 0.301726 | − | 0.174201i | −0.341492 | − | 0.939885i | \(-0.610932\pi\) |
0.643218 | + | 0.765683i | \(0.277599\pi\) | |||||||
\(104\) | 1.49439 | − | 0.543913i | 0.146537 | − | 0.0533350i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.89108 | − | 3.27545i | −0.183678 | − | 0.318140i | ||||
\(107\) | 4.84336 | + | 2.79632i | 0.468226 | + | 0.270330i | 0.715497 | − | 0.698616i | \(-0.246200\pi\) |
−0.247271 | + | 0.968946i | \(0.579534\pi\) | |||||||
\(108\) | −13.7498 | − | 2.42446i | −1.32307 | − | 0.233294i | ||||
\(109\) | −7.21936 | + | 6.05777i | −0.691490 | + | 0.580229i | −0.919338 | − | 0.393468i | \(-0.871275\pi\) |
0.227849 | + | 0.973697i | \(0.426831\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.217301 | + | 1.23237i | 0.0206253 | + | 0.116972i | ||||
\(112\) | 0.00800160 | − | 0.0219842i | 0.000756080 | − | 0.00207731i | ||||
\(113\) | − | 5.69339i | − | 0.535589i | −0.963476 | − | 0.267795i | \(-0.913705\pi\) | ||
0.963476 | − | 0.267795i | \(-0.0862948\pi\) | |||||||
\(114\) | 12.7920 | + | 5.73191i | 1.19808 | + | 0.536843i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.09702 | − | 2.58310i | −0.658942 | − | 0.239835i | ||||
\(117\) | −11.4979 | + | 2.02740i | −1.06299 | + | 0.187433i | ||||
\(118\) | −2.33549 | + | 2.78333i | −0.214999 | + | 0.256226i | ||||
\(119\) | −0.143010 | + | 0.119999i | −0.0131097 | + | 0.0110003i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.16544 | − | 5.48269i | 0.287767 | − | 0.498427i | ||||
\(122\) | −9.99547 | + | 5.77089i | −0.904948 | + | 0.522472i | ||||
\(123\) | 6.16244 | + | 16.9312i | 0.555649 | + | 1.52663i | ||||
\(124\) | 4.19091 | − | 1.52536i | 0.376354 | − | 0.136982i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.0858789 | + | 0.148747i | −0.00765070 | + | 0.0132514i | ||||
\(127\) | −8.54334 | − | 1.50642i | −0.758099 | − | 0.133673i | −0.218779 | − | 0.975774i | \(-0.570207\pi\) |
−0.539320 | + | 0.842101i | \(0.681319\pi\) | |||||||
\(128\) | −0.642788 | − | 0.766044i | −0.0568149 | − | 0.0677094i | ||||
\(129\) | 23.9045 | + | 20.0583i | 2.10468 | + | 1.76603i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −19.4945 | − | 7.09542i | −1.70324 | − | 0.619930i | −0.707055 | − | 0.707159i | \(-0.749977\pi\) |
−0.996188 | + | 0.0872292i | \(0.972199\pi\) | |||||||
\(132\) | 6.94884i | 0.604818i | ||||||||
\(133\) | 0.0710136 | − | 0.0731872i | 0.00615766 | − | 0.00634613i | ||||
\(134\) | 3.85689 | 0.333185 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.38566 | + | 7.85847i | 0.118819 | + | 0.673858i | ||||
\(137\) | 3.83636 | − | 4.57200i | 0.327762 | − | 0.390612i | −0.576848 | − | 0.816852i | \(-0.695717\pi\) |
0.904610 | + | 0.426240i | \(0.140162\pi\) | |||||||
\(138\) | 9.26198 | + | 11.0380i | 0.788432 | + | 0.939617i | ||||
\(139\) | 2.44517 | − | 13.8672i | 0.207397 | − | 1.17620i | −0.686227 | − | 0.727387i | \(-0.740734\pi\) |
0.893624 | − | 0.448817i | \(-0.148155\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.87373 | + | 11.9056i | 0.578872 | + | 1.00264i | ||||
\(142\) | 4.40141 | + | 12.0928i | 0.369358 | + | 1.01480i | ||||
\(143\) | 1.17530 | + | 3.22910i | 0.0982832 | + | 0.270031i | ||||
\(144\) | 3.67080 | + | 6.35802i | 0.305900 | + | 0.529835i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.330206 | − | 1.87269i | 0.0273281 | − | 0.154985i | ||||
\(147\) | −14.4686 | − | 17.2430i | −1.19335 | − | 1.42218i | ||||
\(148\) | 0.250129 | − | 0.298092i | 0.0205605 | − | 0.0245030i | ||||
\(149\) | −1.22145 | − | 6.92721i | −0.100065 | − | 0.567499i | −0.993077 | − | 0.117465i | \(-0.962523\pi\) |
0.893012 | − | 0.450034i | \(-0.148588\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.0840 | −1.14614 | −0.573070 | − | 0.819507i | \(-0.694248\pi\) | ||||
−0.573070 | + | 0.819507i | \(0.694248\pi\) | |||||||
\(152\) | −1.19149 | − | 4.19289i | −0.0966429 | − | 0.340088i | ||||
\(153\) | − | 58.5838i | − | 4.73622i | ||||||
\(154\) | 0.0475039 | + | 0.0172900i | 0.00382797 | + | 0.00139327i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.91765 | + | 3.28730i | 0.313663 | + | 0.263195i | ||||
\(157\) | −1.74085 | − | 2.07466i | −0.138935 | − | 0.165576i | 0.692090 | − | 0.721811i | \(-0.256690\pi\) |
−0.831025 | + | 0.556235i | \(0.812245\pi\) | |||||||
\(158\) | 9.36698 | + | 1.65165i | 0.745197 | + | 0.131398i | ||||
\(159\) | 6.08141 | − | 10.5333i | 0.482288 | − | 0.835346i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.0985039 | − | 0.0358525i | 0.00776319 | − | 0.00282557i | ||||
\(162\) | −7.82350 | − | 21.4949i | −0.614672 | − | 1.68880i | ||||
\(163\) | 11.9479 | − | 6.89810i | 0.935829 | − | 0.540301i | 0.0471785 | − | 0.998886i | \(-0.484977\pi\) |
0.888650 | + | 0.458585i | \(0.151644\pi\) | |||||||
\(164\) | 2.80141 | − | 4.85219i | 0.218754 | − | 0.378892i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.01343 | − | 1.68947i | 0.156273 | − | 0.131128i | ||||
\(167\) | 15.5969 | − | 18.5877i | 1.20692 | − | 1.43836i | 0.339632 | − | 0.940558i | \(-0.389698\pi\) |
0.867293 | − | 0.497798i | \(-0.165858\pi\) | |||||||
\(168\) | 0.0740919 | − | 0.0130644i | 0.00571631 | − | 0.00100794i | ||||
\(169\) | −9.83949 | − | 3.58128i | −0.756884 | − | 0.275483i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.26925 | + | 31.8339i | 0.250006 | + | 2.43440i | ||||
\(172\) | − | 9.70358i | − | 0.739891i | ||||||
\(173\) | −6.62267 | + | 18.1956i | −0.503512 | + | 1.38339i | 0.384311 | + | 0.923204i | \(0.374439\pi\) |
−0.887823 | + | 0.460184i | \(0.847783\pi\) | |||||||
\(174\) | −4.21749 | − | 23.9186i | −0.319727 | − | 1.81326i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.65528 | − | 1.38895i | 0.124772 | − | 0.104696i | ||||
\(177\) | −11.5068 | − | 2.02897i | −0.864907 | − | 0.152506i | ||||
\(178\) | 7.68611 | + | 4.43758i | 0.576098 | + | 0.332610i | ||||
\(179\) | 4.29621 | + | 7.44125i | 0.321114 | + | 0.556185i | 0.980718 | − | 0.195428i | \(-0.0626095\pi\) |
−0.659604 | + | 0.751613i | \(0.729276\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.94197 | − | 1.43476i | 0.293005 | − | 0.106645i | −0.191336 | − | 0.981525i | \(-0.561282\pi\) |
0.484340 | + | 0.874880i | \(0.339060\pi\) | |||||||
\(182\) | 0.0322206 | − | 0.0186026i | 0.00238835 | − | 0.00137891i | ||||
\(183\) | −32.1438 | − | 18.5582i | −2.37614 | − | 1.37186i | ||||
\(184\) | 0.778059 | − | 4.41259i | 0.0573593 | − | 0.325301i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 10.9868 | + | 9.21899i | 0.805589 | + | 0.675969i | ||||
\(187\) | −16.9807 | + | 2.99416i | −1.24175 | + | 0.218955i | ||||
\(188\) | 1.46211 | − | 4.01711i | 0.106635 | − | 0.292978i | ||||
\(189\) | −0.326640 | −0.0237596 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.8620 | 1.36481 | 0.682403 | − | 0.730976i | \(-0.260935\pi\) | ||||
0.682403 | + | 0.730976i | \(0.260935\pi\) | |||||||
\(192\) | 1.09988 | − | 3.02190i | 0.0793771 | − | 0.218087i | ||||
\(193\) | 17.5242 | − | 3.08999i | 1.26142 | − | 0.222422i | 0.497346 | − | 0.867552i | \(-0.334308\pi\) |
0.764073 | + | 0.645130i | \(0.223197\pi\) | |||||||
\(194\) | 8.54438 | + | 7.16959i | 0.613451 | + | 0.514747i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.21544 | + | 6.89312i | −0.0868173 | + | 0.492365i | ||||
\(197\) | 11.7025 | + | 6.75642i | 0.833766 | + | 0.481375i | 0.855140 | − | 0.518396i | \(-0.173471\pi\) |
−0.0213742 | + | 0.999772i | \(0.506804\pi\) | |||||||
\(198\) | −13.7385 | + | 7.93194i | −0.976354 | + | 0.563698i | ||||
\(199\) | 6.59301 | − | 2.39966i | 0.467366 | − | 0.170107i | −0.0975926 | − | 0.995226i | \(-0.531114\pi\) |
0.564959 | + | 0.825119i | \(0.308892\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.20156 | + | 10.7414i | 0.437425 | + | 0.757642i | ||||
\(202\) | 16.1491 | + | 9.32370i | 1.13625 | + | 0.656013i | ||||
\(203\) | −0.174007 | − | 0.0306821i | −0.0122129 | − | 0.00215346i | ||||
\(204\) | −19.6578 | + | 16.4948i | −1.37632 | + | 1.15487i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.614003 | − | 3.48218i | −0.0427796 | − | 0.242615i | ||||
\(207\) | −11.2508 | + | 30.9114i | −0.781988 | + | 2.14849i | ||||
\(208\) | − | 1.59029i | − | 0.110267i | ||||||
\(209\) | 9.06007 | − | 2.57460i | 0.626698 | − | 0.178089i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.68827 | − | 2.43433i | −0.460440 | − | 0.167586i | 0.101377 | − | 0.994848i | \(-0.467675\pi\) |
−0.561817 | + | 0.827262i | \(0.689897\pi\) | |||||||
\(212\) | −3.72471 | + | 0.656766i | −0.255814 | + | 0.0451069i | ||||
\(213\) | −26.6013 | + | 31.7021i | −1.82269 | + | 2.17219i | ||||
\(214\) | 4.28421 | − | 3.59488i | 0.292862 | − | 0.245741i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −6.98095 | + | 12.0914i | −0.474994 | + | 0.822713i | ||||
\(217\) | 0.0903603 | − | 0.0521696i | 0.00613406 | − | 0.00354150i | ||||
\(218\) | 3.22327 | + | 8.85586i | 0.218307 | + | 0.599795i | ||||
\(219\) | 5.74639 | − | 2.09151i | 0.388305 | − | 0.141331i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.34504 | + | 10.9899i | −0.426813 | + | 0.739263i | ||||
\(222\) | 1.23237 | + | 0.217301i | 0.0827115 | + | 0.0145843i | ||||
\(223\) | −2.80259 | − | 3.34000i | −0.187675 | − | 0.223663i | 0.664000 | − | 0.747733i | \(-0.268858\pi\) |
−0.851675 | + | 0.524070i | \(0.824413\pi\) | |||||||
\(224\) | −0.0179217 | − | 0.0150381i | −0.00119744 | − | 0.00100477i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.35004 | − | 1.94725i | −0.355879 | − | 0.129529i | ||||
\(227\) | − | 9.44623i | − | 0.626969i | −0.949593 | − | 0.313484i | \(-0.898504\pi\) | ||
0.949593 | − | 0.313484i | \(-0.101496\pi\) | |||||||
\(228\) | 9.76136 | − | 10.0601i | 0.646462 | − | 0.666249i | ||||
\(229\) | −22.8675 | −1.51112 | −0.755562 | − | 0.655077i | \(-0.772636\pi\) | ||||
−0.755562 | + | 0.655077i | \(0.772636\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.0282298 | + | 0.160099i | 0.00185738 | + | 0.0105337i | ||||
\(232\) | −4.85465 | + | 5.78554i | −0.318723 | + | 0.379840i | ||||
\(233\) | −6.79851 | − | 8.10215i | −0.445385 | − | 0.530790i | 0.495910 | − | 0.868374i | \(-0.334835\pi\) |
−0.941295 | + | 0.337584i | \(0.890390\pi\) | |||||||
\(234\) | −2.02740 | + | 11.4979i | −0.132535 | + | 0.751644i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.81669 | + | 3.14660i | 0.118256 | + | 0.204826i | ||||
\(237\) | 10.4615 | + | 28.7427i | 0.679547 | + | 1.86704i | ||||
\(238\) | 0.0638504 | + | 0.175427i | 0.00413880 | + | 0.0113713i | ||||
\(239\) | 8.67636 | + | 15.0279i | 0.561227 | + | 0.972074i | 0.997390 | + | 0.0722058i | \(0.0230038\pi\) |
−0.436163 | + | 0.899868i | \(0.643663\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.0833347 | + | 0.472614i | −0.00536806 | + | 0.0304438i | −0.987374 | − | 0.158406i | \(-0.949365\pi\) |
0.982006 | + | 0.188849i | \(0.0604758\pi\) | |||||||
\(242\) | −4.06940 | − | 4.84973i | −0.261591 | − | 0.311752i | ||||
\(243\) | 20.3600 | − | 24.2641i | 1.30610 | − | 1.55655i | ||||
\(244\) | 2.00421 | + | 11.3664i | 0.128306 | + | 0.727661i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 18.0178 | 1.14877 | ||||||||
\(247\) | 2.83454 | − | 6.32590i | 0.180358 | − | 0.402508i | ||||
\(248\) | − | 4.45987i | − | 0.283202i | ||||||
\(249\) | 7.94260 | + | 2.89087i | 0.503342 | + | 0.183202i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.56913 | + | 3.83396i | 0.288401 | + | 0.241997i | 0.775497 | − | 0.631351i | \(-0.217499\pi\) |
−0.487096 | + | 0.873348i | \(0.661944\pi\) | |||||||
\(252\) | 0.110404 | + | 0.131574i | 0.00695478 | + | 0.00828839i | ||||
\(253\) | 9.53480 | + | 1.68124i | 0.599448 | + | 0.105699i | ||||
\(254\) | −4.33757 | + | 7.51289i | −0.272163 | + | 0.471400i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −4.62683 | − | 12.7121i | −0.288614 | − | 0.792959i | −0.996261 | − | 0.0863936i | \(-0.972466\pi\) |
0.707648 | − | 0.706566i | \(-0.249756\pi\) | |||||||
\(258\) | 27.0244 | − | 15.6026i | 1.68247 | − | 0.971373i | ||||
\(259\) | 0.00455189 | − | 0.00788411i | 0.000282841 | − | 0.000489895i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 42.4752 | − | 35.6409i | 2.62915 | − | 2.20612i | ||||
\(262\) | −13.3350 | + | 15.8921i | −0.823841 | + | 0.981815i | ||||
\(263\) | 17.3493 | − | 3.05915i | 1.06980 | − | 0.188635i | 0.389101 | − | 0.921195i | \(-0.372786\pi\) |
0.680703 | + | 0.732560i | \(0.261674\pi\) | |||||||
\(264\) | 6.52977 | + | 2.37664i | 0.401880 | + | 0.146272i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.0444853 | − | 0.0917624i | −0.00272757 | − | 0.00562632i | ||||
\(267\) | 28.5410i | 1.74668i | ||||||||
\(268\) | 1.31913 | − | 3.62429i | 0.0805789 | − | 0.221389i | ||||
\(269\) | 0.447725 | + | 2.53918i | 0.0272983 | + | 0.154816i | 0.995410 | − | 0.0957028i | \(-0.0305098\pi\) |
−0.968112 | + | 0.250519i | \(0.919399\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.49966 | + | 7.13206i | −0.516318 | + | 0.433242i | −0.863346 | − | 0.504613i | \(-0.831635\pi\) |
0.347028 | + | 0.937855i | \(0.387191\pi\) | |||||||
\(272\) | 7.85847 | + | 1.38566i | 0.476490 | + | 0.0840180i | ||||
\(273\) | 0.103616 | + | 0.0598228i | 0.00627113 | + | 0.00362064i | ||||
\(274\) | −2.98416 | − | 5.16871i | −0.180280 | − | 0.312253i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 13.5401 | − | 4.92820i | 0.815019 | − | 0.296643i | ||||
\(277\) | 2.55932 | − | 1.47762i | 0.153774 | − | 0.0887817i | −0.421138 | − | 0.906996i | \(-0.638369\pi\) |
0.574913 | + | 0.818215i | \(0.305036\pi\) | |||||||
\(278\) | −12.1947 | − | 7.04059i | −0.731387 | − | 0.422266i | ||||
\(279\) | −5.68569 | + | 32.2452i | −0.340394 | + | 1.93047i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.6181 | + | 8.90966i | 0.633424 | + | 0.531506i | 0.901991 | − | 0.431755i | \(-0.142106\pi\) |
−0.268567 | + | 0.963261i | \(0.586550\pi\) | |||||||
\(282\) | 13.5386 | − | 2.38722i | 0.806212 | − | 0.142157i | ||||
\(283\) | −1.58707 | + | 4.36045i | −0.0943418 | + | 0.259202i | −0.977883 | − | 0.209151i | \(-0.932930\pi\) |
0.883542 | + | 0.468353i | \(0.155152\pi\) | |||||||
\(284\) | 12.8689 | 0.763627 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.43634 | 0.203195 | ||||||||
\(287\) | 0.0448316 | − | 0.123174i | 0.00264632 | − | 0.00727071i | ||||
\(288\) | 7.23007 | − | 1.27486i | 0.426036 | − | 0.0751217i | ||||
\(289\) | −35.7556 | − | 30.0025i | −2.10327 | − | 1.76485i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.22861 | + | 35.3242i | −0.365128 | + | 2.07074i | ||||
\(292\) | −1.64682 | − | 0.950791i | −0.0963728 | − | 0.0556409i | ||||
\(293\) | 10.2765 | − | 5.93313i | 0.600358 | − | 0.346617i | −0.168824 | − | 0.985646i | \(-0.553997\pi\) |
0.769182 | + | 0.639029i | \(0.220664\pi\) | |||||||
\(294\) | −21.1516 | + | 7.69857i | −1.23359 | + | 0.448989i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.194566 | − | 0.336998i | −0.0113089 | − | 0.0195876i | ||||
\(297\) | −26.1272 | − | 15.0846i | −1.51606 | − | 0.875295i | ||||
\(298\) | −6.92721 | − | 1.22145i | −0.401282 | − | 0.0707569i | ||||
\(299\) | 5.45851 | − | 4.58023i | 0.315674 | − | 0.264882i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0394210 | − | 0.223567i | −0.00227219 | − | 0.0128862i | ||||
\(302\) | −4.81701 | + | 13.2346i | −0.277188 | + | 0.761567i | ||||
\(303\) | 59.9670i | 3.44501i | ||||||||
\(304\) | −4.34754 | − | 0.314416i | −0.249349 | − | 0.0180330i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −55.0508 | − | 20.0369i | −3.14704 | − | 1.14543i | ||||
\(307\) | 10.2836 | − | 1.81328i | 0.586918 | − | 0.103489i | 0.127699 | − | 0.991813i | \(-0.459241\pi\) |
0.459218 | + | 0.888323i | \(0.348130\pi\) | |||||||
\(308\) | 0.0324946 | − | 0.0387255i | 0.00185155 | − | 0.00220659i | ||||
\(309\) | 8.71060 | − | 7.30906i | 0.495529 | − | 0.415798i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.33307 | − | 12.7012i | 0.415820 | − | 0.720222i | −0.579694 | − | 0.814834i | \(-0.696828\pi\) |
0.995514 | + | 0.0946125i | \(0.0301612\pi\) | |||||||
\(312\) | 4.42897 | − | 2.55706i | 0.250741 | − | 0.144765i | ||||
\(313\) | 7.34588 | + | 20.1826i | 0.415214 | + | 1.14079i | 0.954381 | + | 0.298592i | \(0.0965169\pi\) |
−0.539167 | + | 0.842199i | \(0.681261\pi\) | |||||||
\(314\) | −2.54495 | + | 0.926285i | −0.143620 | + | 0.0522733i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.75574 | − | 8.23718i | 0.267531 | − | 0.463378i | ||||
\(317\) | −11.6370 | − | 2.05192i | −0.653599 | − | 0.115247i | −0.162991 | − | 0.986628i | \(-0.552114\pi\) |
−0.490608 | + | 0.871381i | \(0.663225\pi\) | |||||||
\(318\) | −7.81812 | − | 9.31727i | −0.438418 | − | 0.522486i | ||||
\(319\) | −12.5015 | − | 10.4900i | −0.699950 | − | 0.587327i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 16.9004 | + | 6.15123i | 0.943287 | + | 0.343328i | ||||
\(322\) | − | 0.104826i | − | 0.00584170i | ||||||
\(323\) | 28.7898 | + | 19.5189i | 1.60191 | + | 1.08606i | ||||
\(324\) | −22.8744 | −1.27080 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.39569 | − | 13.5866i | −0.132685 | − | 0.752493i | ||||
\(327\) | −19.4808 | + | 23.2163i | −1.07729 | + | 1.28386i | ||||
\(328\) | −3.60143 | − | 4.29201i | −0.198856 | − | 0.236987i | ||||
\(329\) | 0.0173669 | − | 0.0984928i | 0.000957471 | − | 0.00543009i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.88073 | − | 15.3819i | −0.488129 | − | 0.845464i | 0.511778 | − | 0.859118i | \(-0.328987\pi\) |
−0.999907 | + | 0.0136535i | \(0.995654\pi\) | |||||||
\(332\) | −0.898948 | − | 2.46984i | −0.0493362 | − | 0.135550i | ||||
\(333\) | 0.977102 | + | 2.68456i | 0.0535448 | + | 0.147113i | ||||
\(334\) | −12.1322 | − | 21.0137i | −0.663847 | − | 1.14982i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.0130644 | − | 0.0740919i | 0.000712721 | − | 0.00404204i | ||||
\(337\) | −1.53351 | − | 1.82756i | −0.0835354 | − | 0.0995537i | 0.722658 | − | 0.691206i | \(-0.242920\pi\) |
−0.806193 | + | 0.591652i | \(0.798476\pi\) | |||||||
\(338\) | −6.73060 | + | 8.02122i | −0.366097 | + | 0.436297i | ||||
\(339\) | −3.17933 | − | 18.0309i | −0.172677 | − | 0.979302i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.63696 | 0.521871 | ||||||||
\(342\) | 31.0322 | + | 7.81574i | 1.67803 | + | 0.422627i | ||||
\(343\) | 0.327519i | 0.0176843i | ||||||||
\(344\) | −9.11838 | − | 3.31882i | −0.491630 | − | 0.178939i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.8332 | + | 12.4465i | 0.797438 | + | 0.669130i | ||||
\(347\) | −9.89984 | − | 11.7982i | −0.531451 | − | 0.633359i | 0.431797 | − | 0.901971i | \(-0.357880\pi\) |
−0.963249 | + | 0.268612i | \(0.913435\pi\) | |||||||
\(348\) | −23.9186 | − | 4.21749i | −1.28217 | − | 0.226081i | ||||
\(349\) | 4.92259 | − | 8.52618i | 0.263500 | − | 0.456396i | −0.703669 | − | 0.710528i | \(-0.748456\pi\) |
0.967170 | + | 0.254132i | \(0.0817897\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −20.8645 | + | 7.59406i | −1.11366 | + | 0.405341i | ||||
\(352\) | −0.739043 | − | 2.03050i | −0.0393911 | − | 0.108226i | ||||
\(353\) | −7.37302 | + | 4.25682i | −0.392426 | + | 0.226567i | −0.683211 | − | 0.730221i | \(-0.739417\pi\) |
0.290785 | + | 0.956789i | \(0.406084\pi\) | |||||||
\(354\) | −5.84218 | + | 10.1189i | −0.310508 | + | 0.537816i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.79876 | − | 5.70484i | 0.360334 | − | 0.302356i | ||||
\(357\) | −0.385899 | + | 0.459896i | −0.0204239 | + | 0.0243403i | ||||
\(358\) | 8.46188 | − | 1.49206i | 0.447224 | − | 0.0788577i | ||||
\(359\) | 29.6177 | + | 10.7800i | 1.56317 | + | 0.568946i | 0.971459 | − | 0.237208i | \(-0.0762323\pi\) |
0.591706 | + | 0.806154i | \(0.298455\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.7333 | − | 8.99976i | −0.880702 | − | 0.473672i | ||||
\(362\) | − | 4.19496i | − | 0.220482i | ||||||
\(363\) | 6.96320 | − | 19.1312i | 0.365473 | − | 1.00413i | ||||
\(364\) | −0.00646060 | − | 0.0366399i | −0.000338628 | − | 0.00192045i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −28.4329 | + | 23.8580i | −1.48621 | + | 1.24708i | ||||
\(367\) | −6.86889 | − | 1.21117i | −0.358553 | − | 0.0632226i | −0.00853004 | − | 0.999964i | \(-0.502715\pi\) |
−0.350023 | + | 0.936741i | \(0.613826\pi\) | |||||||
\(368\) | −3.88037 | − | 2.24033i | −0.202278 | − | 0.116785i | ||||
\(369\) | 20.5669 | + | 35.6229i | 1.07067 | + | 1.85445i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.0831479 | + | 0.0302634i | −0.00431683 | + | 0.00157120i | ||||
\(372\) | 12.4207 | − | 7.17110i | 0.643984 | − | 0.371804i | ||||
\(373\) | −10.4397 | − | 6.02737i | −0.540548 | − | 0.312085i | 0.204753 | − | 0.978814i | \(-0.434361\pi\) |
−0.745301 | + | 0.666728i | \(0.767694\pi\) | |||||||
\(374\) | −2.99416 | + | 16.9807i | −0.154824 | + | 0.878052i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.27478 | − | 2.74787i | −0.168884 | − | 0.141710i | ||||
\(377\) | −11.8282 | + | 2.08563i | −0.609184 | + | 0.107416i | ||||
\(378\) | −0.111718 | + | 0.306941i | −0.00574613 | + | 0.0157874i | ||||
\(379\) | 6.82285 | 0.350466 | 0.175233 | − | 0.984527i | \(-0.443932\pi\) | ||||
0.175233 | + | 0.984527i | \(0.443932\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −27.8978 | −1.42925 | ||||||||
\(382\) | 6.45118 | − | 17.7245i | 0.330071 | − | 0.906863i | ||||
\(383\) | −10.6626 | + | 1.88011i | −0.544834 | + | 0.0960690i | −0.439290 | − | 0.898346i | \(-0.644770\pi\) |
−0.105545 | + | 0.994415i | \(0.533659\pi\) | |||||||
\(384\) | −2.46347 | − | 2.06710i | −0.125714 | − | 0.105486i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.08999 | − | 17.5242i | 0.157276 | − | 0.891958i | ||||
\(387\) | 61.6955 | + | 35.6199i | 3.13616 | + | 1.81066i | ||||
\(388\) | 9.65956 | − | 5.57695i | 0.490390 | − | 0.283127i | ||||
\(389\) | −7.07236 | + | 2.57413i | −0.358583 | + | 0.130513i | −0.515028 | − | 0.857173i | \(-0.672219\pi\) |
0.156446 | + | 0.987687i | \(0.449996\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.8772 | + | 30.9642i | 0.904088 | + | 1.56593i | ||||
\(392\) | 6.06170 | + | 3.49973i | 0.306162 | + | 0.176763i | ||||
\(393\) | −65.7010 | − | 11.5849i | −3.31418 | − | 0.584379i | ||||
\(394\) | 10.3514 | − | 8.68589i | 0.521498 | − | 0.437589i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.75473 | + | 15.6229i | 0.138431 | + | 0.785078i | ||||
\(397\) | 1.69258 | − | 4.65031i | 0.0849479 | − | 0.233393i | −0.889944 | − | 0.456069i | \(-0.849257\pi\) |
0.974892 | + | 0.222676i | \(0.0714793\pi\) | |||||||
\(398\) | − | 7.01614i | − | 0.351687i | ||||||
\(399\) | 0.184029 | − | 0.271438i | 0.00921299 | − | 0.0135889i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.6833 | − | 6.80015i | −0.932998 | − | 0.339583i | −0.169601 | − | 0.985513i | \(-0.554248\pi\) |
−0.763397 | + | 0.645929i | \(0.776470\pi\) | |||||||
\(402\) | 12.2147 | − | 2.15378i | 0.609214 | − | 0.107421i | ||||
\(403\) | 4.55897 | − | 5.43317i | 0.227099 | − | 0.270646i | ||||
\(404\) | 14.2847 | − | 11.9863i | 0.710692 | − | 0.596342i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.0883457 | + | 0.153019i | −0.00438452 | + | 0.00759422i | ||||
\(407\) | 0.728191 | − | 0.420421i | 0.0360951 | − | 0.0208395i | ||||
\(408\) | 8.77672 | + | 24.1138i | 0.434512 | + | 1.19381i | ||||
\(409\) | 12.1132 | − | 4.40884i | 0.598958 | − | 0.218003i | −0.0247068 | − | 0.999695i | \(-0.507865\pi\) |
0.623665 | + | 0.781692i | \(0.285643\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.59657 | − | 16.6217i | 0.473364 | − | 0.819890i | ||||
\(412\) | −3.48218 | − | 0.614003i | −0.171555 | − | 0.0302497i | ||||
\(413\) | 0.0546391 | + | 0.0651163i | 0.00268861 | + | 0.00320416i | ||||
\(414\) | 25.1992 | + | 21.1447i | 1.23848 | + | 1.03920i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.49439 | − | 0.543913i | −0.0732684 | − | 0.0266675i | ||||
\(417\) | − | 45.2828i | − | 2.21751i | ||||||
\(418\) | 0.679394 | − | 9.39425i | 0.0332303 | − | 0.459488i | ||||
\(419\) | −4.48425 | −0.219070 | −0.109535 | − | 0.993983i | \(-0.534936\pi\) | ||||
−0.109535 | + | 0.993983i | \(0.534936\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.74698 | − | 21.2502i | −0.182616 | − | 1.03567i | −0.928980 | − | 0.370131i | \(-0.879313\pi\) |
0.746363 | − | 0.665539i | \(-0.231798\pi\) | |||||||
\(422\) | −4.57505 | + | 5.45233i | −0.222710 | + | 0.265415i | ||||
\(423\) | 20.1738 | + | 24.0421i | 0.980882 | + | 1.16897i | ||||
\(424\) | −0.656766 | + | 3.72471i | −0.0318954 | + | 0.180888i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 20.6921 | + | 35.8398i | 1.00254 | + | 1.73644i | ||||
\(427\) | 0.0923527 | + | 0.253737i | 0.00446926 | + | 0.0122792i | ||||
\(428\) | −1.91279 | − | 5.25536i | −0.0924584 | − | 0.254027i | ||||
\(429\) | 5.52535 | + | 9.57018i | 0.266766 | + | 0.462053i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.06827 | − | 11.7298i | 0.0996252 | − | 0.565003i | −0.893606 | − | 0.448852i | \(-0.851833\pi\) |
0.993232 | − | 0.116151i | \(-0.0370557\pi\) | |||||||
\(432\) | 8.97454 | + | 10.6954i | 0.431788 | + | 0.514585i | ||||
\(433\) | −14.2251 | + | 16.9528i | −0.683615 | + | 0.814701i | −0.990568 | − | 0.137024i | \(-0.956246\pi\) |
0.306952 | + | 0.951725i | \(0.400691\pi\) | |||||||
\(434\) | −0.0181183 | − | 0.102754i | −0.000869706 | − | 0.00493235i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.42421 | 0.451338 | ||||||||
\(437\) | −11.4422 | − | 15.8280i | −0.547356 | − | 0.757156i | ||||
\(438\) | − | 6.11518i | − | 0.292195i | ||||||
\(439\) | −6.47904 | − | 2.35818i | −0.309228 | − | 0.112550i | 0.182745 | − | 0.983160i | \(-0.441502\pi\) |
−0.491973 | + | 0.870611i | \(0.663724\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −39.3649 | − | 33.0311i | −1.87452 | − | 1.57291i | ||||
\(442\) | 8.15702 | + | 9.72116i | 0.387990 | + | 0.462389i | ||||
\(443\) | −1.52212 | − | 0.268390i | −0.0723180 | − | 0.0127516i | 0.137372 | − | 0.990520i | \(-0.456134\pi\) |
−0.209690 | + | 0.977768i | \(0.567246\pi\) | |||||||
\(444\) | 0.625692 | − | 1.08373i | 0.0296940 | − | 0.0514316i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.09711 | + | 1.49123i | −0.194004 | + | 0.0706117i | ||||
\(447\) | −7.73664 | − | 21.2562i | −0.365931 | − | 1.00539i | ||||
\(448\) | −0.0202608 | + | 0.0116976i | −0.000957231 | + | 0.000552658i | ||||
\(449\) | 2.95993 | − | 5.12674i | 0.139688 | − | 0.241946i | −0.787691 | − | 0.616071i | \(-0.788724\pi\) |
0.927378 | + | 0.374125i | \(0.122057\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.27425 | − | 7.78202i | 0.436708 | − | 0.366441i | ||||
\(452\) | −3.65964 | + | 4.36139i | −0.172135 | + | 0.205143i | ||||
\(453\) | −44.6038 | + | 7.86485i | −2.09567 | + | 0.369523i | ||||
\(454\) | −8.87656 | − | 3.23080i | −0.416597 | − | 0.151629i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.11485 | − | 12.6135i | −0.286354 | − | 0.590679i | ||||
\(457\) | − | 29.5382i | − | 1.38174i | −0.722979 | − | 0.690870i | \(-0.757228\pi\) | ||
0.722979 | − | 0.690870i | \(-0.242772\pi\) | |||||||
\(458\) | −7.82113 | + | 21.4884i | −0.365458 | + | 1.00409i | ||||
\(459\) | −19.3465 | − | 109.719i | −0.903015 | − | 5.12125i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 23.3287 | − | 19.5751i | 1.08652 | − | 0.911702i | 0.0900776 | − | 0.995935i | \(-0.471288\pi\) |
0.996446 | + | 0.0842331i | \(0.0268440\pi\) | |||||||
\(462\) | 0.160099 | + | 0.0282298i | 0.00744848 | + | 0.00131337i | ||||
\(463\) | −33.6554 | − | 19.4309i | −1.56410 | − | 0.903033i | −0.996835 | − | 0.0794963i | \(-0.974669\pi\) |
−0.567263 | − | 0.823536i | \(-0.691998\pi\) | |||||||
\(464\) | 3.77625 | + | 6.54065i | 0.175308 | + | 0.303642i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.93876 | + | 3.61741i | −0.460404 | + | 0.167573i | ||||
\(467\) | −24.7927 | + | 14.3141i | −1.14727 | + | 0.662377i | −0.948221 | − | 0.317612i | \(-0.897119\pi\) |
−0.199050 | + | 0.979989i | \(0.563786\pi\) | |||||||
\(468\) | 10.1111 | + | 5.83766i | 0.467387 | + | 0.269846i | ||||
\(469\) | 0.0156687 | − | 0.0888615i | 0.000723513 | − | 0.00410324i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.67177 | − | 5.59828i | −0.307419 | − | 0.257955i | ||||
\(472\) | 3.57818 | − | 0.630930i | 0.164699 | − | 0.0290409i | ||||
\(473\) | 7.17136 | − | 19.7032i | 0.329740 | − | 0.905952i | ||||
\(474\) | 30.5874 | 1.40492 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.186686 | 0.00855674 | ||||||||
\(477\) | 9.49693 | − | 26.0926i | 0.434835 | − | 1.19470i | ||||
\(478\) | 17.0891 | − | 3.01327i | 0.781637 | − | 0.137824i | ||||
\(479\) | 12.7889 | + | 10.7312i | 0.584340 | + | 0.490320i | 0.886369 | − | 0.462979i | \(-0.153219\pi\) |
−0.302029 | + | 0.953299i | \(0.597664\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.107459 | − | 0.609433i | 0.00489973 | − | 0.0277877i | ||||
\(482\) | 0.415610 | + | 0.239953i | 0.0189305 | + | 0.0109295i | ||||
\(483\) | 0.291939 | − | 0.168551i | 0.0132837 | − | 0.00766934i | ||||
\(484\) | −5.94907 | + | 2.16529i | −0.270412 | + | 0.0984221i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −15.8373 | − | 27.4310i | −0.718394 | − | 1.24430i | ||||
\(487\) | 16.7864 | + | 9.69165i | 0.760666 | + | 0.439171i | 0.829535 | − | 0.558455i | \(-0.188606\pi\) |
−0.0688690 | + | 0.997626i | \(0.521939\pi\) | |||||||
\(488\) | 11.3664 | + | 2.00421i | 0.514534 | + | 0.0907263i | ||||
\(489\) | 33.9866 | − | 28.5181i | 1.53693 | − | 1.28963i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.30923 | + | 35.7814i | 0.284731 | + | 1.61479i | 0.706243 | + | 0.707970i | \(0.250389\pi\) |
−0.421511 | + | 0.906823i | \(0.638500\pi\) | |||||||
\(492\) | 6.16244 | − | 16.9312i | 0.277824 | − | 0.763316i | ||||
\(493\) | − | 60.2666i | − | 2.71427i | ||||||
\(494\) | −4.97493 | − | 4.82719i | −0.223833 | − | 0.217185i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.19091 | − | 1.52536i | −0.188177 | − | 0.0684909i | ||||
\(497\) | 0.296495 | − | 0.0522800i | 0.0132996 | − | 0.00234508i | ||||
\(498\) | 5.43306 | − | 6.47487i | 0.243461 | − | 0.290146i | ||||
\(499\) | 5.94585 | − | 4.98916i | 0.266173 | − | 0.223346i | −0.499926 | − | 0.866068i | \(-0.666640\pi\) |
0.766099 | + | 0.642722i | \(0.222195\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 39.0153 | − | 67.5765i | 1.74308 | − | 3.01909i | ||||
\(502\) | 5.16548 | − | 2.98229i | 0.230546 | − | 0.133106i | ||||
\(503\) | −0.217326 | − | 0.597098i | −0.00969008 | − | 0.0266233i | 0.934753 | − | 0.355297i | \(-0.115620\pi\) |
−0.944443 | + | 0.328674i | \(0.893398\pi\) | |||||||
\(504\) | 0.161399 | − | 0.0587446i | 0.00718930 | − | 0.00261669i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.84095 | − | 8.38477i | 0.215206 | − | 0.372748i | ||||
\(507\) | −33.1613 | − | 5.84724i | −1.47275 | − | 0.259685i | ||||
\(508\) | 5.57627 | + | 6.64554i | 0.247407 | + | 0.294848i | ||||
\(509\) | −20.1192 | − | 16.8820i | −0.891767 | − | 0.748282i | 0.0767966 | − | 0.997047i | \(-0.475531\pi\) |
−0.968564 | + | 0.248765i | \(0.919975\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.0418048 | − | 0.0152157i | −0.00184934 | − | 0.000673103i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 16.6355 | + | 58.5408i | 0.734476 | + | 2.58464i | ||||
\(514\) | −13.5279 | −0.596692 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −5.41871 | − | 30.7311i | −0.238546 | − | 1.35286i | ||||
\(517\) | 5.93764 | − | 7.07620i | 0.261137 | − | 0.311211i | ||||
\(518\) | −0.00585180 | − | 0.00697390i | −0.000257113 | − | 0.000306416i | ||||
\(519\) | −10.8130 | + | 61.3235i | −0.474637 | + | 2.69180i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −20.1453 | − | 34.8927i | −0.882583 | − | 1.52868i | −0.848459 | − | 0.529262i | \(-0.822469\pi\) |
−0.0341245 | − | 0.999418i | \(-0.510864\pi\) | |||||||
\(522\) | −18.9641 | − | 52.1035i | −0.830038 | − | 2.28051i | ||||
\(523\) | −5.72897 | − | 15.7402i | −0.250510 | − | 0.688271i | −0.999665 | − | 0.0258764i | \(-0.991762\pi\) |
0.749155 | − | 0.662395i | \(-0.230460\pi\) | |||||||
\(524\) | 10.3728 | + | 17.9662i | 0.453138 | + | 0.784859i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.05915 | − | 17.3493i | 0.133385 | − | 0.756466i | ||||
\(527\) | 22.8758 | + | 27.2623i | 0.996485 | + | 1.18756i | ||||
\(528\) | 4.46663 | − | 5.32312i | 0.194385 | − | 0.231659i | ||||
\(529\) | 0.507688 | + | 2.87924i | 0.0220734 | + | 0.125184i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.6748 | −1.15759 | ||||||||
\(532\) | −0.101443 | + | 0.0104179i | −0.00439813 | + | 0.000451675i | ||||
\(533\) | − | 8.91014i | − | 0.385941i | ||||||
\(534\) | 26.8198 | + | 9.76161i | 1.16061 | + | 0.422426i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2.95455 | − | 2.47916i | −0.127617 | − | 0.107083i | ||||
\(537\) | 17.7614 | + | 21.1672i | 0.766461 | + | 0.913432i | ||||
\(538\) | 2.53918 | + | 0.447725i | 0.109472 | + | 0.0193028i | ||||
\(539\) | −7.56227 | + | 13.0982i | −0.325730 | + | 0.564181i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.7784 | + | 10.4745i | −1.23728 | + | 0.450334i | −0.876085 | − | 0.482156i | \(-0.839854\pi\) |
−0.361196 | + | 0.932490i | \(0.617632\pi\) | |||||||
\(542\) | 3.79489 | + | 10.4264i | 0.163005 | + | 0.447851i | ||||
\(543\) | 11.6830 | − | 6.74515i | 0.501363 | − | 0.289462i | ||||
\(544\) | 3.98985 | − | 6.91062i | 0.171063 | − | 0.296291i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.0916539 | − | 0.0769067i | 0.00392242 | − | 0.00329130i | ||||
\(547\) | −0.00515474 | + | 0.00614318i | −0.000220401 | + | 0.000262663i | −0.766155 | − | 0.642656i | \(-0.777832\pi\) |
0.765934 | + | 0.642919i | \(0.222277\pi\) | |||||||
\(548\) | −5.87764 | + | 1.03639i | −0.251081 | + | 0.0442723i | ||||
\(549\) | −79.6251 | − | 28.9812i | −3.39831 | − | 1.23689i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.36316 | + | 32.7483i | 0.143275 | + | 1.39512i | ||||
\(552\) | − | 14.4091i | − | 0.613291i | ||||||
\(553\) | 0.0761070 | − | 0.209102i | 0.00323640 | − | 0.00889194i | ||||
\(554\) | −0.513173 | − | 2.91035i | −0.0218026 | − | 0.123649i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.7868 | + | 9.05120i | −0.457462 | + | 0.383856i | ||||
\(557\) | −6.59116 | − | 1.16220i | −0.279276 | − | 0.0492440i | 0.0322555 | − | 0.999480i | \(-0.489731\pi\) |
−0.311532 | + | 0.950236i | \(0.600842\pi\) | |||||||
\(558\) | 28.3559 | + | 16.3713i | 1.20040 | + | 0.693052i | ||||
\(559\) | −7.71578 | − | 13.3641i | −0.326343 | − | 0.565242i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −52.1056 | + | 18.9649i | −2.19990 | + | 0.800698i | ||||
\(562\) | 12.0040 | − | 6.93049i | 0.506356 | − | 0.292345i | ||||
\(563\) | −5.72191 | − | 3.30354i | −0.241150 | − | 0.139228i | 0.374555 | − | 0.927205i | \(-0.377795\pi\) |
−0.615705 | + | 0.787977i | \(0.711129\pi\) | |||||||
\(564\) | 2.38722 | − | 13.5386i | 0.100520 | − | 0.570078i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.55467 | + | 2.98272i | 0.149414 | + | 0.125373i | ||||
\(567\) | −0.527019 | + | 0.0929276i | −0.0221327 | + | 0.00390259i | ||||
\(568\) | 4.40141 | − | 12.0928i | 0.184679 | − | 0.507402i | ||||
\(569\) | 18.2452 | 0.764879 | 0.382440 | − | 0.923980i | \(-0.375084\pi\) | ||||
0.382440 | + | 0.923980i | \(0.375084\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.61851 | −0.193279 | −0.0966393 | − | 0.995319i | \(-0.530809\pi\) | ||||
−0.0966393 | + | 0.995319i | \(0.530809\pi\) | |||||||
\(572\) | 1.17530 | − | 3.22910i | 0.0491416 | − | 0.135015i | ||||
\(573\) | 59.7356 | − | 10.5330i | 2.49549 | − | 0.440022i | ||||
\(574\) | −0.100412 | − | 0.0842558i | −0.00419112 | − | 0.00351677i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.27486 | − | 7.23007i | 0.0531190 | − | 0.301253i | ||||
\(577\) | −34.9245 | − | 20.1637i | −1.45393 | − | 0.839424i | −0.455224 | − | 0.890377i | \(-0.650441\pi\) |
−0.998701 | + | 0.0509529i | \(0.983774\pi\) | |||||||
\(578\) | −40.4223 | + | 23.3378i | −1.68135 | + | 0.970725i | ||||
\(579\) | 53.7733 | − | 19.5719i | 2.23474 | − | 0.813379i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.0307453 | − | 0.0532524i | −0.00127553 | − | 0.00220928i | ||||
\(582\) | 31.0636 | + | 17.9346i | 1.28763 | + | 0.743412i | ||||
\(583\) | −8.04841 | − | 1.41915i | −0.333331 | − | 0.0587752i | ||||
\(584\) | −1.45670 | + | 1.22231i | −0.0602785 | + | 0.0505797i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.06055 | − | 11.6860i | −0.0851207 | − | 0.482743i | ||||
\(587\) | −5.21623 | + | 14.3315i | −0.215297 | + | 0.591523i | −0.999583 | − | 0.0288761i | \(-0.990807\pi\) |
0.784286 | + | 0.620399i | \(0.213029\pi\) | |||||||
\(588\) | 22.5091i | 0.928260i | ||||||||
\(589\) | −13.9518 | − | 13.5375i | −0.574876 | − | 0.557803i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 40.8344 | + | 14.8625i | 1.67970 | + | 0.611363i | ||||
\(592\) | −0.383220 | + | 0.0675720i | −0.0157502 | + | 0.00277719i | ||||
\(593\) | 25.7487 | − | 30.6860i | 1.05737 | − | 1.26012i | 0.0929726 | − | 0.995669i | \(-0.470363\pi\) |
0.964398 | − | 0.264456i | \(-0.0851925\pi\) | |||||||
\(594\) | −23.1109 | + | 19.3923i | −0.948251 | + | 0.795677i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.51704 | + | 6.09168i | −0.144063 | + | 0.249525i | ||||
\(597\) | 19.5399 | − | 11.2814i | 0.799716 | − | 0.461716i | ||||
\(598\) | −2.43709 | − | 6.69585i | −0.0996600 | − | 0.273814i | ||||
\(599\) | −25.5138 | + | 9.28628i | −1.04247 | + | 0.379427i | −0.805815 | − | 0.592167i | \(-0.798272\pi\) |
−0.236652 | + | 0.971594i | \(0.576050\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.9663 | − | 22.4583i | 0.528907 | − | 0.916094i | −0.470525 | − | 0.882387i | \(-0.655935\pi\) |
0.999432 | − | 0.0337070i | \(-0.0107313\pi\) | |||||||
\(602\) | −0.223567 | − | 0.0394210i | −0.00911193 | − | 0.00160668i | ||||
\(603\) | 18.2010 | + | 21.6911i | 0.741203 | + | 0.883332i | ||||
\(604\) | 10.7890 | + | 9.05302i | 0.438997 | + | 0.368362i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 56.3506 | + | 20.5099i | 2.28908 | + | 0.833159i | ||||
\(607\) | 15.2583i | 0.619316i | 0.950848 | + | 0.309658i | \(0.100215\pi\) | ||||
−0.950848 | + | 0.309658i | \(0.899785\pi\) | |||||||
\(608\) | −1.78240 | + | 3.97782i | −0.0722859 | + | 0.161322i | ||||
\(609\) | −0.568211 | −0.0230251 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.18053 | − | 6.69510i | −0.0477590 | − | 0.270855i | ||||
\(612\) | −37.6570 | + | 44.8778i | −1.52219 | + | 1.81408i | ||||
\(613\) | −3.03440 | − | 3.61626i | −0.122558 | − | 0.146059i | 0.701276 | − | 0.712890i | \(-0.252614\pi\) |
−0.823835 | + | 0.566830i | \(0.808169\pi\) | |||||||
\(614\) | 1.81328 | − | 10.2836i | 0.0731781 | − | 0.415013i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0252763 | − | 0.0437798i | −0.00101841 | − | 0.00176394i | ||||
\(617\) | 10.3569 | + | 28.4553i | 0.416953 | + | 1.14557i | 0.953420 | + | 0.301647i | \(0.0975365\pi\) |
−0.536467 | + | 0.843922i | \(0.680241\pi\) | |||||||
\(618\) | −3.88907 | − | 10.6851i | −0.156441 | − | 0.429819i | ||||
\(619\) | −2.84795 | − | 4.93279i | −0.114469 | − | 0.198266i | 0.803099 | − | 0.595846i | \(-0.203183\pi\) |
−0.917567 | + | 0.397581i | \(0.869850\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.8632 | + | 61.6082i | −0.435925 | + | 2.47225i | ||||
\(622\) | −9.42721 | − | 11.2349i | −0.377997 | − | 0.450479i | ||||
\(623\) | 0.133465 | − | 0.159058i | 0.00534718 | − | 0.00637252i | ||||
\(624\) | −0.888059 | − | 5.03643i | −0.0355508 | − | 0.201619i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 21.4779 | 0.858430 | ||||||||
\(627\) | 27.2554 | − | 13.2131i | 1.08847 | − | 0.527679i | ||||
\(628\) | 2.70828i | 0.108072i | ||||||||
\(629\) | 2.91789 | + | 1.06203i | 0.116344 | + | 0.0423457i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −32.4485 | − | 27.2275i | −1.29175 | − | 1.08391i | −0.991508 | − | 0.130048i | \(-0.958487\pi\) |
−0.300246 | − | 0.953862i | \(-0.597069\pi\) | |||||||
\(632\) | −6.11386 | − | 7.28621i | −0.243196 | − | 0.289830i | ||||
\(633\) | −22.5410 | − | 3.97459i | −0.895925 | − | 0.157976i | ||||
\(634\) | −5.90826 | + | 10.2334i | −0.234647 | + | 0.406420i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −11.4293 | + | 4.15993i | −0.453202 | + | 0.164952i | ||||
\(637\) | 3.80709 | + | 10.4599i | 0.150842 | + | 0.414436i | ||||
\(638\) | −14.1331 | + | 8.15977i | −0.559537 | + | 0.323049i | ||||
\(639\) | −47.2391 | + | 81.8206i | −1.86875 | + | 3.23677i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.8636 | + | 17.5066i | −0.824062 | + | 0.691470i | −0.953920 | − | 0.300063i | \(-0.902992\pi\) |
0.129858 | + | 0.991533i | \(0.458548\pi\) | |||||||
\(642\) | 11.5605 | − | 13.7773i | 0.456258 | − | 0.543747i | ||||
\(643\) | 3.45211 | − | 0.608700i | 0.136138 | − | 0.0240048i | −0.105164 | − | 0.994455i | \(-0.533537\pi\) |
0.241302 | + | 0.970450i | \(0.422426\pi\) | |||||||
\(644\) | −0.0985039 | − | 0.0358525i | −0.00388160 | − | 0.00141279i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.1884 | − | 20.3777i | 1.10906 | − | 0.801750i | ||||
\(647\) | − | 44.9855i | − | 1.76856i | −0.466956 | − | 0.884280i | \(-0.654649\pi\) | ||
0.466956 | − | 0.884280i | \(-0.345351\pi\) | |||||||
\(648\) | −7.82350 | + | 21.4949i | −0.307336 | + | 0.844399i | ||||
\(649\) | 1.36332 | + | 7.73179i | 0.0535151 | + | 0.303499i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.257037 | − | 0.215679i | 0.0100741 | − | 0.00845314i | ||||
\(652\) | −13.5866 | − | 2.39569i | −0.532093 | − | 0.0938223i | ||||
\(653\) | −13.7877 | − | 7.96033i | −0.539555 | − | 0.311512i | 0.205344 | − | 0.978690i | \(-0.434169\pi\) |
−0.744898 | + | 0.667178i | \(0.767502\pi\) | |||||||
\(654\) | 15.1534 | + | 26.2464i | 0.592543 | + | 1.02632i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −5.26493 | + | 1.91628i | −0.205561 | + | 0.0748181i | ||||
\(657\) | 12.0903 | − | 6.98034i | 0.471687 | − | 0.272329i | ||||
\(658\) | −0.0866132 | − | 0.0500061i | −0.00337653 | − | 0.00194944i | ||||
\(659\) | −3.30453 | + | 18.7409i | −0.128726 | + | 0.730042i | 0.850299 | + | 0.526301i | \(0.176421\pi\) |
−0.979025 | + | 0.203741i | \(0.934690\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.6520 | + | 14.8118i | 0.686583 | + | 0.576111i | 0.917922 | − | 0.396762i | \(-0.129866\pi\) |
−0.231339 | + | 0.972873i | \(0.574311\pi\) | |||||||
\(662\) | −17.4916 | + | 3.08425i | −0.679831 | + | 0.119873i | ||||
\(663\) | −13.9576 | + | 38.3481i | −0.542067 | + | 1.48932i | ||||
\(664\) | −2.62835 | −0.102000 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85685 | 0.110701 | ||||||||
\(667\) | −11.5740 | + | 31.7994i | −0.448148 | + | 1.23128i | ||||
\(668\) | −23.8958 | + | 4.21348i | −0.924558 | + | 0.163025i | ||||
\(669\) | −10.7409 | − | 9.01268i | −0.415267 | − | 0.348450i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.33073 | + | 24.5608i | −0.167186 | + | 0.948158i | ||||
\(672\) | −0.0651553 | − | 0.0376174i | −0.00251342 | − | 0.00145112i | ||||
\(673\) | 9.85260 | − | 5.68840i | 0.379790 | − | 0.219272i | −0.297937 | − | 0.954586i | \(-0.596299\pi\) |
0.677727 | + | 0.735314i | \(0.262965\pi\) | |||||||
\(674\) | −2.24184 | + | 0.815962i | −0.0863523 | + | 0.0314297i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.23548 | + | 9.06812i | 0.201365 | + | 0.348774i | ||||
\(677\) | 36.1782 | + | 20.8875i | 1.39044 | + | 0.802771i | 0.993364 | − | 0.115015i | \(-0.0366915\pi\) |
0.397076 | + | 0.917786i | \(0.370025\pi\) | |||||||
\(678\) | −18.0309 | − | 3.17933i | −0.692471 | − | 0.122101i | ||||
\(679\) | 0.199897 | − | 0.167733i | 0.00767134 | − | 0.00643701i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.27501 | − | 29.9160i | −0.202139 | − | 1.14639i | ||||
\(682\) | 3.29603 | − | 9.05578i | 0.126212 | − | 0.346764i | ||||
\(683\) | 9.65205i | 0.369325i | 0.982802 | + | 0.184663i | \(0.0591193\pi\) | ||||
−0.982802 | + | 0.184663i | \(0.940881\pi\) | |||||||
\(684\) | 17.9580 | − | 26.4876i | 0.686643 | − | 1.01278i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.307767 | + | 0.112018i | 0.0117506 | + | 0.00427687i | ||||
\(687\) | −72.4208 | + | 12.7697i | −2.76303 | + | 0.487196i | ||||
\(688\) | −6.23734 | + | 7.43337i | −0.237796 | + | 0.283395i | ||||
\(689\) | −4.60757 | + | 3.86621i | −0.175535 | + | 0.147291i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.58223 | − | 6.20461i | 0.136275 | − | 0.236034i | −0.789809 | − | 0.613353i | \(-0.789820\pi\) |
0.926084 | + | 0.377318i | \(0.123154\pi\) | |||||||
\(692\) | 16.7692 | − | 9.68169i | 0.637469 | − | 0.368043i | ||||
\(693\) | 0.126936 | + | 0.348755i | 0.00482191 | + | 0.0132481i | ||||
\(694\) | −14.4726 | + | 5.26759i | −0.549372 | + | 0.199955i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −12.1438 | + | 21.0337i | −0.460309 | + | 0.797279i | ||||
\(697\) | 44.0296 | + | 7.76361i | 1.66774 | + | 0.294068i | ||||
\(698\) | −6.32836 | − | 7.54185i | −0.239532 | − | 0.285463i | ||||
\(699\) | −26.0552 | − | 21.8629i | −0.985498 | − | 0.826931i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.58820 | − | 2.03394i | −0.211063 | − | 0.0768208i | 0.234325 | − | 0.972158i | \(-0.424712\pi\) |
−0.445388 | + | 0.895338i | \(0.646934\pi\) | |||||||
\(702\) | 22.2035i | 0.838019i | ||||||||
\(703\) | −1.64482 | − | 0.414263i | −0.0620356 | − | 0.0156242i | ||||
\(704\) | −2.16082 | −0.0814389 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.47838 | + | 8.38429i | 0.0556394 | + | 0.315547i | ||||
\(707\) | 0.280421 | − | 0.334193i | 0.0105463 | − | 0.0125686i | ||||
\(708\) | 7.51056 | + | 8.95073i | 0.282264 | + | 0.336389i | ||||
\(709\) | −6.60131 | + | 37.4379i | −0.247918 | + | 1.40601i | 0.565701 | + | 0.824611i | \(0.308606\pi\) |
−0.813618 | + | 0.581400i | \(0.802505\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 34.9148 | + | 60.4742i | 1.30941 | + | 2.26796i | ||||
\(712\) | −3.03548 | − | 8.33992i | −0.113759 | − | 0.312552i | ||||
\(713\) | −6.83465 | − | 18.7780i | −0.255959 | − | 0.703243i | ||||
\(714\) | 0.300176 | + | 0.519920i | 0.0112338 | + | 0.0194575i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 1.49206 | − | 8.46188i | 0.0557608 | − | 0.316235i | ||||
\(717\) | 35.8698 | + | 42.7480i | 1.33958 | + | 1.59645i | ||||
\(718\) | 20.2597 | − | 24.1446i | 0.756087 | − | 0.901069i | ||||
\(719\) | −1.48425 | − | 8.41760i | −0.0553532 | − | 0.313923i | 0.944542 | − | 0.328390i | \(-0.106506\pi\) |
−0.999895 | + | 0.0144667i | \(0.995395\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.0827228 | −0.00308076 | ||||||||
\(722\) | −14.1801 | + | 12.6461i | −0.527730 | + | 0.470639i | ||||
\(723\) | 1.54330i | 0.0573958i | ||||||||
\(724\) | −3.94197 | − | 1.43476i | −0.146502 | − | 0.0533225i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −15.5959 | − | 13.0865i | −0.578819 | − | 0.485687i | ||||
\(727\) | −5.38809 | − | 6.42127i | −0.199833 | − | 0.238152i | 0.656817 | − | 0.754050i | \(-0.271903\pi\) |
−0.856650 | + | 0.515899i | \(0.827458\pi\) | |||||||
\(728\) | −0.0366399 | − | 0.00646060i | −0.00135796 | − | 0.000239446i | ||||
\(729\) | 16.6186 | − | 28.7842i | 0.615503 | − | 1.06608i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 72.7620 | − | 26.4832i | 2.69120 | − | 0.979516i | ||||
\(732\) | 12.6946 | + | 34.8781i | 0.469205 | + | 1.28913i | ||||
\(733\) | −10.3264 | + | 5.96195i | −0.381414 | + | 0.220210i | −0.678433 | − | 0.734662i | \(-0.737341\pi\) |
0.297019 | + | 0.954872i | \(0.404007\pi\) | |||||||
\(734\) | −3.48743 | + | 6.04040i | −0.128723 | + | 0.222955i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.43239 | + | 2.88011i | −0.126519 | + | 0.106162i | ||||
\(737\) | 5.35701 | − | 6.38424i | 0.197328 | − | 0.235166i | ||||
\(738\) | 40.5088 | − | 7.14280i | 1.49115 | − | 0.262930i | ||||
\(739\) | 23.9241 | + | 8.70767i | 0.880063 | + | 0.320317i | 0.742235 | − | 0.670140i | \(-0.233766\pi\) |
0.137828 | + | 0.990456i | \(0.455988\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.44441 | − | 21.6169i | 0.200005 | − | 0.794117i | ||||
\(742\) | 0.0884842i | 0.00324836i | ||||||||
\(743\) | 5.45769 | − | 14.9949i | 0.200223 | − | 0.550109i | −0.798425 | − | 0.602095i | \(-0.794333\pi\) |
0.998648 | + | 0.0519860i | \(0.0165551\pi\) | |||||||
\(744\) | −2.49050 | − | 14.1243i | −0.0913061 | − | 0.517823i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −9.23447 | + | 7.74864i | −0.338098 | + | 0.283698i | ||||
\(747\) | 19.0032 | + | 3.35077i | 0.695289 | + | 0.122598i | ||||
\(748\) | 14.9326 | + | 8.62134i | 0.545990 | + | 0.315227i | ||||
\(749\) | −0.0654201 | − | 0.113311i | −0.00239040 | − | 0.00414029i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.48505 | − | 0.540514i | 0.0541903 | − | 0.0197237i | −0.314783 | − | 0.949164i | \(-0.601932\pi\) |
0.368973 | + | 0.929440i | \(0.379709\pi\) | |||||||
\(752\) | −3.70219 | + | 2.13746i | −0.135005 | + | 0.0779452i | ||||
\(753\) | 16.6113 | + | 9.59055i | 0.605350 | + | 0.349499i | ||||
\(754\) | −2.08563 | + | 11.8282i | −0.0759543 | + | 0.430758i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.250221 | + | 0.209960i | 0.00910045 | + | 0.00763618i | ||||
\(757\) | −18.9354 | + | 3.33882i | −0.688217 | + | 0.121351i | −0.506811 | − | 0.862057i | \(-0.669176\pi\) |
−0.181406 | + | 0.983408i | \(0.558065\pi\) | |||||||
\(758\) | 2.33355 | − | 6.41138i | 0.0847584 | − | 0.232872i | ||||
\(759\) | 31.1354 | 1.13014 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 12.6228 | 0.457576 | 0.228788 | − | 0.973476i | \(-0.426524\pi\) | ||||
0.228788 | + | 0.973476i | \(0.426524\pi\) | |||||||
\(762\) | −9.54161 | + | 26.2154i | −0.345656 | + | 0.949683i | ||||
\(763\) | 0.217131 | − | 0.0382860i | 0.00786067 | − | 0.00138605i | ||||
\(764\) | −14.4491 | − | 12.1243i | −0.522751 | − | 0.438640i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.88011 | + | 10.6626i | −0.0679310 | + | 0.385256i | ||||
\(767\) | 5.00402 | + | 2.88907i | 0.180685 | + | 0.104318i | ||||
\(768\) | −2.78500 | + | 1.60792i | −0.100495 | + | 0.0580208i | ||||
\(769\) | −37.7534 | + | 13.7411i | −1.36142 | + | 0.495518i | −0.916494 | − | 0.400048i | \(-0.868993\pi\) |
−0.444929 | + | 0.895566i | \(0.646771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.7518 | − | 37.6753i | −0.783373 | − | 1.35684i | ||||
\(772\) | −15.4105 | − | 8.89727i | −0.554637 | − | 0.320220i | ||||
\(773\) | 25.4287 | + | 4.48376i | 0.914606 | + | 0.161270i | 0.611094 | − | 0.791558i | \(-0.290730\pi\) |
0.303512 | + | 0.952828i | \(0.401841\pi\) | |||||||
\(774\) | 54.5729 | − | 45.7921i | 1.96158 | − | 1.64596i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −1.93685 | − | 10.9844i | −0.0695290 | − | 0.394319i | ||||
\(777\) | 0.0100131 | − | 0.0275107i | 0.000359217 | − | 0.000986941i | ||||
\(778\) | 7.52625i | 0.269829i | ||||||||
\(779\) | −24.3585 | − | 1.76162i | −0.872735 | − | 0.0631164i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 26.1303 | + | 9.51065i | 0.935016 | + | 0.340318i | ||||
\(782\) | 35.2112 | − | 6.20868i | 1.25915 | − | 0.222022i | ||||
\(783\) | 67.7801 | − | 80.7772i | 2.42226 | − | 2.88674i | ||||
\(784\) | 5.36189 | − | 4.49916i | 0.191496 | − | 0.160684i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −33.3573 | + | 57.7765i | −1.18981 | + | 2.06082i | ||||
\(787\) | 21.3757 | − | 12.3413i | 0.761963 | − | 0.439919i | −0.0680373 | − | 0.997683i | \(-0.521674\pi\) |
0.830000 | + | 0.557763i | \(0.188340\pi\) | |||||||
\(788\) | −4.62167 | − | 12.6979i | −0.164640 | − | 0.452345i | ||||
\(789\) | 53.2366 | − | 19.3766i | 1.89527 | − | 0.689823i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.0665987 | + | 0.115352i | −0.00236798 | + | 0.00410146i | ||||
\(792\) | 15.6229 | + | 2.75473i | 0.555134 | + | 0.0978852i | ||||
\(793\) | 11.7983 | + | 14.0606i | 0.418968 | + | 0.499307i | ||||
\(794\) | −3.79097 | − | 3.18100i | −0.134537 | − | 0.112890i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.59301 | − | 2.39966i | −0.233683 | − | 0.0850537i | ||||
\(797\) | − | 20.6723i | − | 0.732249i | −0.930566 | − | 0.366124i | \(-0.880684\pi\) | ||
0.930566 | − | 0.366124i | \(-0.119316\pi\) | |||||||
\(798\) | −0.192127 | − | 0.265768i | −0.00680121 | − | 0.00940809i | ||||
\(799\) | 34.1126 | 1.20682 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.3145 | + | 64.1680i | 0.399780 | + | 2.26726i | ||||
\(802\) | −12.7801 | + | 15.2307i | −0.451281 | + | 0.537816i | ||||
\(803\) | −2.64120 | − | 3.14766i | −0.0932058 | − | 0.111078i | ||||
\(804\) | 2.15378 | − | 12.2147i | 0.0759580 | − | 0.430779i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −3.54625 | − | 6.14229i | −0.124911 | − | 0.216353i | ||||
\(807\) | 2.83587 | + | 7.79150i | 0.0998275 | + | 0.274274i | ||||
\(808\) | −6.37779 | − | 17.5228i | −0.224370 | − | 0.616451i | ||||
\(809\) | −14.2987 | − | 24.7661i | −0.502716 | − | 0.870729i | −0.999995 | − | 0.00313869i | \(-0.999001\pi\) |
0.497279 | − | 0.867590i | \(-0.334332\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.71497 | + | 15.3973i | −0.0953353 | + | 0.540674i | 0.899309 | + | 0.437314i | \(0.144070\pi\) |
−0.994644 | + | 0.103359i | \(0.967041\pi\) | |||||||
\(812\) | 0.113575 | + | 0.135353i | 0.00398570 | + | 0.00474997i | ||||
\(813\) | −22.9355 | + | 27.3335i | −0.804385 | + | 0.958628i | ||||
\(814\) | −0.146011 | − | 0.828068i | −0.00511768 | − | 0.0290238i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 25.6614 | 0.898329 | ||||||||
\(817\) | −38.0603 | + | 18.4512i | −1.33156 | + | 0.645525i | ||||
\(818\) | − | 12.8906i | − | 0.450708i | ||||||
\(819\) | 0.256673 | + | 0.0934212i | 0.00896887 | + | 0.00326440i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 19.8911 | + | 16.6906i | 0.694204 | + | 0.582506i | 0.920118 | − | 0.391641i | \(-0.128092\pi\) |
−0.225914 | + | 0.974147i | \(0.572537\pi\) | |||||||
\(822\) | −12.3371 | − | 14.7028i | −0.430306 | − | 0.512819i | ||||
\(823\) | −35.6823 | − | 6.29176i | −1.24381 | − | 0.219317i | −0.487261 | − | 0.873256i | \(-0.662004\pi\) |
−0.756547 | + | 0.653939i | \(0.773115\pi\) | |||||||
\(824\) | −1.76795 | + | 3.06218i | −0.0615895 | + | 0.106676i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.0798770 | − | 0.0290728i | 0.00277928 | − | 0.00101157i | ||||
\(827\) | −6.15626 | − | 16.9142i | −0.214074 | − | 0.588164i | 0.785453 | − | 0.618921i | \(-0.212430\pi\) |
−0.999527 | + | 0.0307580i | \(0.990208\pi\) | |||||||
\(828\) | 28.4881 | − | 16.4476i | 0.990031 | − | 0.571595i | ||||
\(829\) | −13.0982 | + | 22.6867i | −0.454919 | + | 0.787943i | −0.998684 | − | 0.0512947i | \(-0.983665\pi\) |
0.543764 | + | 0.839238i | \(0.316999\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.28016 | − | 6.10878i | 0.252546 | − | 0.211911i | ||||
\(832\) | −1.02222 | + | 1.21824i | −0.0354392 | + | 0.0422348i | ||||
\(833\) | −55.0050 | + | 9.69887i | −1.90581 | + | 0.336046i | ||||
\(834\) | −42.5519 | − | 15.4876i | −1.47345 | − | 0.536292i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −8.59534 | − | 3.85144i | −0.297276 | − | 0.133205i | ||||
\(837\) | 62.2683i | 2.15231i | ||||||||
\(838\) | −1.53371 | + | 4.21382i | −0.0529810 | + | 0.145564i | ||||
\(839\) | −0.609122 | − | 3.45450i | −0.0210292 | − | 0.119263i | 0.972486 | − | 0.232961i | \(-0.0748414\pi\) |
−0.993515 | + | 0.113698i | \(0.963730\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.4800 | − | 18.0238i | 0.740689 | − | 0.621512i | ||||
\(842\) | −21.2502 | − | 3.74698i | −0.732329 | − | 0.129129i | ||||
\(843\) | 38.6028 | + | 22.2873i | 1.32955 | + | 0.767616i | ||||
\(844\) | 3.55876 | + | 6.16395i | 0.122497 | + | 0.212172i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 29.4921 | − | 10.7342i | 1.01396 | − | 0.369051i | ||||
\(847\) | −0.128268 | + | 0.0740557i | −0.00440735 | + | 0.00254458i | ||||
\(848\) | 3.27545 | + | 1.89108i | 0.112479 | + | 0.0649400i | ||||
\(849\) | −2.59125 | + | 14.6957i | −0.0889316 | + | 0.504356i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.33565 | − | 1.12074i | −0.0457855 | − | 0.0384186i | ||||
\(852\) | 40.7555 | − | 7.18629i | 1.39626 | − | 0.246198i | ||||
\(853\) | 13.8147 | − | 37.9556i | 0.473007 | − | 1.29958i | −0.442318 | − | 0.896858i | \(-0.645844\pi\) |
0.915325 | − | 0.402717i | \(-0.131934\pi\) | |||||||
\(854\) | 0.270021 | 0.00923993 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.59263 | −0.191152 | ||||||||
\(857\) | 5.79009 | − | 15.9081i | 0.197786 | − | 0.543412i | −0.800662 | − | 0.599117i | \(-0.795518\pi\) |
0.998447 | + | 0.0557051i | \(0.0177407\pi\) | |||||||
\(858\) | 10.8828 | − | 1.91893i | 0.371533 | − | 0.0655113i | ||||
\(859\) | −8.61145 | − | 7.22586i | −0.293819 | − | 0.246543i | 0.483947 | − | 0.875097i | \(-0.339203\pi\) |
−0.777766 | + | 0.628554i | \(0.783647\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.0731975 | − | 0.415124i | 0.00249457 | − | 0.0141474i | ||||
\(862\) | −10.3150 | − | 5.95535i | −0.351329 | − | 0.202840i | ||||
\(863\) | −47.6939 | + | 27.5361i | −1.62352 | + | 0.937340i | −0.637552 | + | 0.770407i | \(0.720053\pi\) |
−0.985968 | + | 0.166932i | \(0.946614\pi\) | |||||||
\(864\) | 13.1199 | − | 4.77525i | 0.446348 | − | 0.162457i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 11.0652 | + | 19.1654i | 0.376010 | + | 0.651268i | ||||
\(867\) | −129.991 | − | 75.0506i | −4.41474 | − | 2.54885i | ||||
\(868\) | −0.102754 | − | 0.0181183i | −0.00348770 | − | 0.000614975i | ||||
\(869\) | 15.7442 | − | 13.2109i | 0.534085 | − | 0.448150i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.06509 | − | 6.04041i | −0.0360891 | − | 0.204671i | ||||
\(872\) | 3.22327 | − | 8.85586i | 0.109154 | − | 0.299897i | ||||
\(873\) | 81.8876i | 2.77147i | ||||||||
\(874\) | −18.7869 | + | 5.33868i | −0.635478 | + | 0.180584i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.74639 | − | 2.09151i | −0.194153 | − | 0.0706657i | ||||
\(877\) | −18.4667 | + | 3.25617i | −0.623575 | + | 0.109953i | −0.476503 | − | 0.879173i | \(-0.658096\pi\) |
−0.147072 | + | 0.989126i | \(0.546985\pi\) | |||||||
\(878\) | −4.43192 | + | 5.28176i | −0.149570 | + | 0.178251i | ||||
\(879\) | 29.2322 | − | 24.5287i | 0.985978 | − | 0.827334i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −25.3287 | + | 43.8706i | −0.853345 | + | 1.47804i | 0.0248271 | + | 0.999692i | \(0.492096\pi\) |
−0.878172 | + | 0.478345i | \(0.841237\pi\) | |||||||
\(882\) | −44.5027 | + | 25.6936i | −1.49848 | + | 0.865149i | ||||
\(883\) | 11.6768 | + | 32.0818i | 0.392956 | + | 1.07964i | 0.965645 | + | 0.259866i | \(0.0836783\pi\) |
−0.572688 | + | 0.819773i | \(0.694099\pi\) | |||||||
\(884\) | 11.9248 | − | 4.34026i | 0.401073 | − | 0.145979i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.772800 | + | 1.33853i | −0.0259627 | + | 0.0449687i | ||||
\(887\) | 34.6976 | + | 6.11812i | 1.16503 | + | 0.205426i | 0.722529 | − | 0.691341i | \(-0.242980\pi\) |
0.442502 | + | 0.896767i | \(0.354091\pi\) | |||||||
\(888\) | −0.804375 | − | 0.958616i | −0.0269930 | − | 0.0321691i | ||||
\(889\) | 0.155473 | + | 0.130457i | 0.00521440 | + | 0.00437540i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −46.4465 | − | 16.9052i | −1.55602 | − | 0.566344i | ||||
\(892\) | 4.36006i | 0.145986i | ||||||||
\(893\) | −18.5365 | + | 1.90364i | −0.620299 | + | 0.0637029i | ||||
\(894\) | −22.6204 | −0.756540 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.00406252 | + | 0.0230397i | 0.000135719 | + | 0.000769702i | ||||
\(897\) | 14.7293 | − | 17.5537i | 0.491796 | − | 0.586100i | ||||
\(898\) | −3.80521 | − | 4.53487i | −0.126981 | − | 0.151331i | ||||
\(899\) | −5.84901 | + | 33.1714i | −0.195075 | + | 1.10633i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.0903 | − | 26.1371i | −0.502730 | − | 0.870754i | ||||
\(902\) | −4.14073 | − | 11.3766i | −0.137871 | − | 0.378798i | ||||
\(903\) | −0.249691 | − | 0.686020i | −0.00830919 | − | 0.0228293i | ||||
\(904\) | 2.84670 | + | 4.93062i | 0.0946797 | + | 0.163990i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −7.86485 | + | 44.6038i | −0.261292 | + | 1.48186i | ||||
\(907\) | −12.3094 | − | 14.6698i | −0.408728 | − | 0.487103i | 0.521932 | − | 0.852987i | \(-0.325211\pi\) |
−0.930661 | + | 0.365883i | \(0.880767\pi\) | |||||||
\(908\) | −6.07192 | + | 7.23624i | −0.201504 | + | 0.240143i | ||||
\(909\) | 23.7728 | + | 134.822i | 0.788493 | + | 4.47177i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 24.5134 | 0.812164 | 0.406082 | − | 0.913837i | \(-0.366895\pi\) | ||||
0.406082 | + | 0.913837i | \(0.366895\pi\) | |||||||
\(912\) | −13.9442 | + | 1.43203i | −0.461738 | + | 0.0474191i | ||||
\(913\) | − | 5.67938i | − | 0.187960i | ||||||
\(914\) | −27.7569 | − | 10.1027i | −0.918115 | − | 0.334167i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.5175 | + | 14.6989i | 0.578794 | + | 0.485666i | ||||
\(917\) | 0.311974 | + | 0.371797i | 0.0103023 | + | 0.0122778i | ||||
\(918\) | −109.719 | − | 19.3465i | −3.62127 | − | 0.638528i | ||||
\(919\) | 14.3060 | − | 24.7787i | 0.471911 | − | 0.817374i | −0.527573 | − | 0.849510i | \(-0.676898\pi\) |
0.999483 | + | 0.0321362i | \(0.0102310\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 31.5555 | − | 11.4853i | 1.03979 | − | 0.378452i | ||||
\(922\) | −10.4157 | − | 28.6168i | −0.343022 | − | 0.942445i | ||||
\(923\) | 17.7235 | − | 10.2327i | 0.583375 | − | 0.336812i | ||||
\(924\) | 0.0812844 | − | 0.140789i | 0.00267406 | − | 0.00463161i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −29.7699 | + | 24.9799i | −0.978301 | + | 0.820892i | ||||
\(927\) | 16.6862 | − | 19.8859i | 0.548048 | − | 0.653139i | ||||
\(928\) | 7.43775 | − | 1.31148i | 0.244156 | − | 0.0430513i | ||||
\(929\) | 3.68171 | + | 1.34003i | 0.120793 | + | 0.0439650i | 0.401709 | − | 0.915767i | \(-0.368416\pi\) |
−0.280917 | + | 0.959732i | \(0.590638\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 29.3479 | − | 8.33980i | 0.961840 | − | 0.273326i | ||||
\(932\) | 10.5766i | 0.346448i | ||||||||
\(933\) | 16.1310 | − | 44.3196i | 0.528106 | − | 1.45096i | ||||
\(934\) | 4.97123 | + | 28.1933i | 0.162664 | + | 0.922512i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 8.94382 | − | 7.50475i | 0.292338 | − | 0.245300i | ||||
\(937\) | 43.3039 | + | 7.63564i | 1.41468 | + | 0.249446i | 0.828160 | − | 0.560492i | \(-0.189388\pi\) |
0.586516 | + | 0.809937i | \(0.300499\pi\) | |||||||
\(938\) | −0.0781435 | − | 0.0451162i | −0.00255148 | − | 0.00147310i | ||||
\(939\) | 34.5347 | + | 59.8159i | 1.12700 | + | 1.95202i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.71790 | − | 2.08115i | 0.186398 | − | 0.0678434i | −0.247135 | − | 0.968981i | \(-0.579489\pi\) |
0.433533 | + | 0.901138i | \(0.357267\pi\) | |||||||
\(942\) | −7.54254 | + | 4.35469i | −0.245749 | + | 0.141883i | ||||
\(943\) | −21.7410 | − | 12.5522i | −0.707985 | − | 0.408755i | ||||
\(944\) | 0.630930 | − | 3.57818i | 0.0205350 | − | 0.116460i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −16.0622 | − | 13.4778i | −0.522226 | − | 0.438199i | ||||
\(947\) | −9.09001 | + | 1.60281i | −0.295386 | + | 0.0520845i | −0.319377 | − | 0.947628i | \(-0.603474\pi\) |
0.0239914 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(948\) | 10.4615 | − | 28.7427i | 0.339774 | − | 0.933520i | ||||
\(949\) | −3.02408 | −0.0981657 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −38.0000 | −1.23223 | ||||||||
\(952\) | 0.0638504 | − | 0.175427i | 0.00206940 | − | 0.00568564i | ||||
\(953\) | 30.4437 | − | 5.36804i | 0.986167 | − | 0.173888i | 0.342769 | − | 0.939420i | \(-0.388635\pi\) |
0.643398 | + | 0.765532i | \(0.277524\pi\) | |||||||
\(954\) | −21.2709 | − | 17.8484i | −0.688671 | − | 0.577863i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 3.01327 | − | 17.0891i | 0.0974560 | − | 0.552701i | ||||
\(957\) | −45.4499 | − | 26.2405i | −1.46919 | − | 0.848235i | ||||
\(958\) | 14.4581 | − | 8.34737i | 0.467119 | − | 0.269691i | ||||
\(959\) | −0.131209 | + | 0.0477561i | −0.00423695 | + | 0.00154212i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.55479 | + | 9.62118i | 0.179187 | + | 0.310360i | ||||
\(962\) | −0.535926 | − | 0.309417i | −0.0172790 | − | 0.00997601i | ||||
\(963\) | 40.4352 | + | 7.12981i | 1.30300 | + | 0.229755i | ||||
\(964\) | 0.367629 | − | 0.308477i | 0.0118405 | − | 0.00993538i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.0585372 | − | 0.331981i | −0.00188340 | − | 0.0106813i | ||||
\(967\) | 8.69145 | − | 23.8796i | 0.279498 | − | 0.767915i | −0.717922 | − | 0.696124i | \(-0.754906\pi\) |
0.997420 | − | 0.0717907i | \(-0.0228714\pi\) | |||||||
\(968\) | 6.33087i | 0.203482i | ||||||||
\(969\) | 102.076 | + | 45.7390i | 3.27917 | + | 1.46935i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 50.9775 | + | 18.5543i | 1.63595 | + | 0.595436i | 0.986324 | − | 0.164820i | \(-0.0527044\pi\) |
0.649623 | + | 0.760256i | \(0.274927\pi\) | |||||||
\(972\) | −31.1934 | + | 5.50023i | −1.00053 | + | 0.176420i | ||||
\(973\) | −0.211754 | + | 0.252358i | −0.00678852 | + | 0.00809024i | ||||
\(974\) | 14.8485 | − | 12.4593i | 0.475776 | − | 0.399223i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.77089 | − | 9.99547i | 0.184722 | − | 0.319947i | ||||
\(977\) | −33.9710 | + | 19.6132i | −1.08683 | + | 0.627481i | −0.932731 | − | 0.360574i | \(-0.882581\pi\) |
−0.154099 | + | 0.988055i | \(0.549247\pi\) | |||||||
\(978\) | −15.1742 | − | 41.6907i | −0.485217 | − | 1.33312i | ||||
\(979\) | 18.0210 | − | 6.55912i | 0.575955 | − | 0.209630i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −34.5944 | + | 59.9193i | −1.10452 | + | 1.91308i | ||||
\(982\) | 35.7814 | + | 6.30923i | 1.14183 | + | 0.201336i | ||||
\(983\) | −3.04549 | − | 3.62947i | −0.0971359 | − | 0.115762i | 0.715287 | − | 0.698831i | \(-0.246296\pi\) |
−0.812423 | + | 0.583069i | \(0.801852\pi\) | |||||||
\(984\) | −13.8024 | − | 11.5816i | −0.440005 | − | 0.369208i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −56.6321 | − | 20.6124i | −1.80353 | − | 0.656432i | ||||
\(987\) | − | 0.321623i | − | 0.0102374i | ||||||
\(988\) | −6.23760 | + | 3.02391i | −0.198444 | + | 0.0962035i | ||||
\(989\) | −43.4785 | −1.38253 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.17962 | − | 23.7038i | −0.132770 | − | 0.752976i | −0.976387 | − | 0.216030i | \(-0.930689\pi\) |
0.843617 | − | 0.536946i | \(-0.180422\pi\) | |||||||
\(992\) | −2.86675 | + | 3.41646i | −0.0910193 | + | 0.108473i | ||||
\(993\) | −36.7147 | − | 43.7549i | −1.16511 | − | 1.38852i | ||||
\(994\) | 0.0522800 | − | 0.296495i | 0.00165822 | − | 0.00940425i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.22617 | − | 7.31994i | −0.133911 | − | 0.231941i | ||||
\(997\) | 4.86686 | + | 13.3716i | 0.154135 | + | 0.423483i | 0.992594 | − | 0.121483i | \(-0.0387650\pi\) |
−0.838458 | + | 0.544966i | \(0.816543\pi\) | |||||||
\(998\) | −2.65468 | − | 7.29367i | −0.0840323 | − | 0.230877i | ||||
\(999\) | 2.71651 | + | 4.70514i | 0.0859466 | + | 0.148864i |
(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 | 950.2.u.g.99.6 | 36 | ||
5.2 | odd | 4 | 190.2.k.d.61.1 | ✓ | 18 | ||
5.3 | odd | 4 | 950.2.l.i.251.3 | 18 | |||
5.4 | even | 2 | inner | 950.2.u.g.99.1 | 36 | ||
19.5 | even | 9 | inner | 950.2.u.g.499.1 | 36 | ||
95.24 | even | 18 | inner | 950.2.u.g.499.6 | 36 | ||
95.43 | odd | 36 | 950.2.l.i.651.3 | 18 | |||
95.47 | odd | 36 | 3610.2.a.bi.1.1 | 9 | |||
95.62 | odd | 36 | 190.2.k.d.81.1 | yes | 18 | ||
95.67 | even | 36 | 3610.2.a.bj.1.9 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.61.1 | ✓ | 18 | 5.2 | odd | 4 | ||
190.2.k.d.81.1 | yes | 18 | 95.62 | odd | 36 | ||
950.2.l.i.251.3 | 18 | 5.3 | odd | 4 | |||
950.2.l.i.651.3 | 18 | 95.43 | odd | 36 | |||
950.2.u.g.99.1 | 36 | 5.4 | even | 2 | inner | ||
950.2.u.g.99.6 | 36 | 1.1 | even | 1 | trivial | ||
950.2.u.g.499.1 | 36 | 19.5 | even | 9 | inner | ||
950.2.u.g.499.6 | 36 | 95.24 | even | 18 | inner | ||
3610.2.a.bi.1.1 | 9 | 95.47 | odd | 36 | |||
3610.2.a.bj.1.9 | 9 | 95.67 | even | 36 |