Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1161,2,Mod(388,1161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1161, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1161.388");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1161 = 3^{3} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1161.f (of order \(3\), degree \(2\), 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: | \(9.27063167467\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{3})\) |
Twist minimal: | no (minimal twist has level 387) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 775.1 | ||
Character | \(\chi\) | \(=\) | 1161.775 |
Dual form | 1161.2.f.c.388.1 |
$q$-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 \(\left(\mathbb{Z}/1161\mathbb{Z}\right)^\times\).
\(n\) | \(433\) | \(947\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27673 | + | 2.21136i | −0.902785 | + | 1.56367i | −0.0789211 | + | 0.996881i | \(0.525148\pi\) |
−0.823864 | + | 0.566788i | \(0.808186\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.26008 | − | 3.91458i | −1.13004 | − | 1.95729i | ||||
\(5\) | 1.39974 | + | 2.42442i | 0.625983 | + | 1.08423i | 0.988350 | + | 0.152199i | \(0.0486355\pi\) |
−0.362366 | + | 0.932036i | \(0.618031\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0769910 | − | 0.133352i | 0.0290999 | − | 0.0504024i | −0.851109 | − | 0.524989i | \(-0.824069\pi\) |
0.880209 | + | 0.474587i | \(0.157403\pi\) | |||||||
\(8\) | 6.43513 | 2.27516 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.14837 | −2.26051 | ||||||||
\(11\) | 1.85795 | − | 3.21806i | 0.560192 | − | 0.970281i | −0.437287 | − | 0.899322i | \(-0.644061\pi\) |
0.997479 | − | 0.0709593i | \(-0.0226060\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.642256 | + | 1.11242i | 0.178130 | + | 0.308530i | 0.941240 | − | 0.337739i | \(-0.109662\pi\) |
−0.763110 | + | 0.646268i | \(0.776329\pi\) | |||||||
\(14\) | 0.196594 | + | 0.340510i | 0.0525418 | + | 0.0910051i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.69577 | + | 6.40126i | −0.923942 | + | 1.60032i | ||||
\(17\) | −0.563748 | −0.136729 | −0.0683645 | − | 0.997660i | \(-0.521778\pi\) | ||||
−0.0683645 | + | 0.997660i | \(0.521778\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.62305 | −1.51943 | −0.759716 | − | 0.650255i | \(-0.774662\pi\) | ||||
−0.759716 | + | 0.650255i | \(0.774662\pi\) | |||||||
\(20\) | 6.32706 | − | 10.9588i | 1.41477 | − | 2.45046i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.74420 | + | 8.21719i | 1.01147 | + | 1.75191i | ||||
\(23\) | 3.02258 | + | 5.23526i | 0.630251 | + | 1.09163i | 0.987500 | + | 0.157617i | \(0.0503812\pi\) |
−0.357250 | + | 0.934009i | \(0.616285\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.41855 | + | 2.45700i | −0.283710 | + | 0.491401i | ||||
\(26\) | −3.27995 | −0.643251 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.696024 | −0.131536 | ||||||||
\(29\) | −4.34197 | + | 7.52050i | −0.806283 | + | 1.39652i | 0.109139 | + | 0.994027i | \(0.465191\pi\) |
−0.915422 | + | 0.402496i | \(0.868143\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.846788 | + | 1.46668i | 0.152088 | + | 0.263424i | 0.931995 | − | 0.362472i | \(-0.118067\pi\) |
−0.779907 | + | 0.625895i | \(0.784734\pi\) | |||||||
\(32\) | −3.00187 | − | 5.19939i | −0.530660 | − | 0.919131i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.719755 | − | 1.24665i | 0.123437 | − | 0.213799i | ||||
\(35\) | 0.431070 | 0.0728641 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.07664 | 0.670195 | 0.335097 | − | 0.942183i | \(-0.391231\pi\) | ||||
0.335097 | + | 0.942183i | \(0.391231\pi\) | |||||||
\(38\) | 8.45585 | − | 14.6460i | 1.37172 | − | 2.37589i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 9.00752 | + | 15.6015i | 1.42421 | + | 2.46681i | ||||
\(41\) | 5.55726 | + | 9.62547i | 0.867899 | + | 1.50325i | 0.864140 | + | 0.503252i | \(0.167863\pi\) |
0.00375938 | + | 0.999993i | \(0.498803\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.500000 | + | 0.866025i | −0.0762493 | + | 0.132068i | ||||
\(44\) | −16.7964 | −2.53216 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −15.4361 | −2.27592 | ||||||||
\(47\) | −3.69248 | + | 6.39556i | −0.538603 | + | 0.932888i | 0.460377 | + | 0.887724i | \(0.347714\pi\) |
−0.998980 | + | 0.0451639i | \(0.985619\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.48814 | + | 6.04164i | 0.498306 | + | 0.863092i | ||||
\(50\) | −3.62222 | − | 6.27386i | −0.512259 | − | 0.887258i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.90310 | − | 5.02832i | 0.402588 | − | 0.697302i | ||||
\(53\) | −2.30102 | −0.316069 | −0.158034 | − | 0.987434i | \(-0.550516\pi\) | ||||
−0.158034 | + | 0.987434i | \(0.550516\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.4026 | 1.40268 | ||||||||
\(56\) | 0.495447 | − | 0.858140i | 0.0662070 | − | 0.114674i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −11.0870 | − | 19.2033i | −1.45580 | − | 2.52152i | ||||
\(59\) | 2.94982 | + | 5.10923i | 0.384033 | + | 0.665165i | 0.991635 | − | 0.129077i | \(-0.0412014\pi\) |
−0.607601 | + | 0.794242i | \(0.707868\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.07507 | − | 3.59412i | 0.265685 | − | 0.460180i | −0.702058 | − | 0.712120i | \(-0.747735\pi\) |
0.967743 | + | 0.251940i | \(0.0810686\pi\) | |||||||
\(62\) | −4.32448 | −0.549210 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.547229 | 0.0684037 | ||||||||
\(65\) | −1.79798 | + | 3.11420i | −0.223013 | + | 0.386269i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.34393 | − | 9.25596i | −0.652865 | − | 1.13080i | −0.982424 | − | 0.186661i | \(-0.940233\pi\) |
0.329559 | − | 0.944135i | \(-0.393100\pi\) | |||||||
\(68\) | 1.27412 | + | 2.20683i | 0.154509 | + | 0.267618i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.550360 | + | 0.953252i | −0.0657806 | + | 0.113935i | ||||
\(71\) | −12.6183 | −1.49752 | −0.748758 | − | 0.662843i | \(-0.769350\pi\) | ||||
−0.748758 | + | 0.662843i | \(0.769350\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.47133 | 0.172206 | 0.0861030 | − | 0.996286i | \(-0.472559\pi\) | ||||
0.0861030 | + | 0.996286i | \(0.472559\pi\) | |||||||
\(74\) | −5.20476 | + | 9.01492i | −0.605042 | + | 1.04796i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 14.9686 | + | 25.9264i | 1.71702 | + | 2.97397i | ||||
\(77\) | −0.286090 | − | 0.495523i | −0.0326030 | − | 0.0564701i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.16420 | + | 7.21261i | −0.468509 | + | 0.811482i | −0.999352 | − | 0.0359886i | \(-0.988542\pi\) |
0.530843 | + | 0.847470i | \(0.321875\pi\) | |||||||
\(80\) | −20.6925 | −2.31349 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −28.3805 | −3.13410 | ||||||||
\(83\) | 3.48869 | − | 6.04259i | 0.382933 | − | 0.663260i | −0.608547 | − | 0.793518i | \(-0.708247\pi\) |
0.991480 | + | 0.130258i | \(0.0415805\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.789102 | − | 1.36676i | −0.0855901 | − | 0.148246i | ||||
\(86\) | −1.27673 | − | 2.21136i | −0.137673 | − | 0.238457i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.9561 | − | 20.7086i | 1.27453 | − | 2.20755i | ||||
\(89\) | −15.8842 | −1.68373 | −0.841864 | − | 0.539690i | \(-0.818541\pi\) | ||||
−0.841864 | + | 0.539690i | \(0.818541\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.197792 | 0.0207342 | ||||||||
\(92\) | 13.6625 | − | 23.6642i | 1.42442 | − | 2.46716i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −9.42859 | − | 16.3308i | −0.972485 | − | 1.68439i | ||||
\(95\) | −9.27056 | − | 16.0571i | −0.951139 | − | 1.64742i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.27317 | + | 14.3296i | −0.840013 | + | 1.45495i | 0.0498688 | + | 0.998756i | \(0.484120\pi\) |
−0.889882 | + | 0.456190i | \(0.849214\pi\) | |||||||
\(98\) | −17.8137 | −1.79945 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 12.8242 | 1.28242 | ||||||||
\(101\) | 5.59941 | − | 9.69846i | 0.557162 | − | 0.965033i | −0.440570 | − | 0.897718i | \(-0.645224\pi\) |
0.997732 | − | 0.0673145i | \(-0.0214431\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.19198 | − | 12.4569i | −0.708647 | − | 1.22741i | −0.965359 | − | 0.260924i | \(-0.915973\pi\) |
0.256713 | − | 0.966488i | \(-0.417361\pi\) | |||||||
\(104\) | 4.13300 | + | 7.15857i | 0.405274 | + | 0.701956i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.93778 | − | 5.08838i | 0.285342 | − | 0.494227i | ||||
\(107\) | 10.3317 | 0.998801 | 0.499400 | − | 0.866371i | \(-0.333554\pi\) | ||||
0.499400 | + | 0.866371i | \(0.333554\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.69073 | 0.832421 | 0.416211 | − | 0.909268i | \(-0.363358\pi\) | ||||
0.416211 | + | 0.909268i | \(0.363358\pi\) | |||||||
\(110\) | −13.2813 | + | 23.0039i | −1.26632 | + | 2.19333i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.569082 | + | 0.985679i | 0.0537732 | + | 0.0931379i | ||||
\(113\) | 2.69829 | + | 4.67357i | 0.253834 | + | 0.439653i | 0.964578 | − | 0.263798i | \(-0.0849751\pi\) |
−0.710744 | + | 0.703450i | \(0.751642\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.46165 | + | 14.6560i | −0.789053 | + | 1.36668i | ||||
\(116\) | 39.2528 | 3.64453 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −15.0645 | −1.38680 | ||||||||
\(119\) | −0.0434035 | + | 0.0751771i | −0.00397880 | + | 0.00689148i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.40394 | − | 2.43169i | −0.127631 | − | 0.221063i | ||||
\(122\) | 5.29860 | + | 9.17744i | 0.479712 | + | 0.830886i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.82762 | − | 6.62963i | 0.343730 | − | 0.595359i | ||||
\(125\) | 6.05499 | 0.541575 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.93444 | 0.792803 | 0.396402 | − | 0.918077i | \(-0.370259\pi\) | ||||
0.396402 | + | 0.918077i | \(0.370259\pi\) | |||||||
\(128\) | 5.30507 | − | 9.18866i | 0.468907 | − | 0.812170i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.59108 | − | 7.95199i | −0.402665 | − | 0.697435i | ||||
\(131\) | −4.50361 | − | 7.80048i | −0.393482 | − | 0.681531i | 0.599424 | − | 0.800432i | \(-0.295396\pi\) |
−0.992906 | + | 0.118901i | \(0.962063\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.509915 | + | 0.883199i | −0.0442153 | + | 0.0765831i | ||||
\(134\) | 27.2910 | 2.35759 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.62780 | −0.311081 | ||||||||
\(137\) | −7.30352 | + | 12.6501i | −0.623982 | + | 1.08077i | 0.364755 | + | 0.931104i | \(0.381153\pi\) |
−0.988737 | + | 0.149665i | \(0.952180\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.22405 | + | 10.7804i | 0.527917 | + | 0.914379i | 0.999470 | + | 0.0325417i | \(0.0103602\pi\) |
−0.471553 | + | 0.881838i | \(0.656307\pi\) | |||||||
\(140\) | −0.974253 | − | 1.68746i | −0.0823394 | − | 0.142616i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 16.1102 | − | 27.9036i | 1.35194 | − | 2.34162i | ||||
\(143\) | 4.77311 | 0.399148 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −24.3105 | −2.01888 | ||||||||
\(146\) | −1.87849 | + | 3.25364i | −0.155465 | + | 0.269273i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −9.21353 | − | 15.9583i | −0.757347 | − | 1.31176i | ||||
\(149\) | 8.17481 | + | 14.1592i | 0.669706 | + | 1.15997i | 0.977986 | + | 0.208670i | \(0.0669134\pi\) |
−0.308280 | + | 0.951296i | \(0.599753\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.02286 | − | 13.8960i | 0.652891 | − | 1.13084i | −0.329527 | − | 0.944146i | \(-0.606889\pi\) |
0.982418 | − | 0.186694i | \(-0.0597772\pi\) | |||||||
\(152\) | −42.6202 | −3.45696 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.46104 | 0.117734 | ||||||||
\(155\) | −2.37057 | + | 4.10595i | −0.190409 | + | 0.329798i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.757906 | − | 1.31273i | −0.0604875 | − | 0.104767i | 0.834196 | − | 0.551468i | \(-0.185932\pi\) |
−0.894683 | + | 0.446701i | \(0.852599\pi\) | |||||||
\(158\) | −10.6331 | − | 18.4171i | −0.845926 | − | 1.46519i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 8.40368 | − | 14.5556i | 0.664369 | − | 1.15072i | ||||
\(161\) | 0.930845 | 0.0733608 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.1419 | 1.42098 | 0.710490 | − | 0.703707i | \(-0.248473\pi\) | ||||
0.710490 | + | 0.703707i | \(0.248473\pi\) | |||||||
\(164\) | 25.1197 | − | 43.5087i | 1.96152 | − | 3.39746i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.90823 | + | 15.4295i | 0.691413 | + | 1.19756i | ||||
\(167\) | −10.5220 | − | 18.2247i | −0.814218 | − | 1.41027i | −0.909888 | − | 0.414855i | \(-0.863832\pi\) |
0.0956693 | − | 0.995413i | \(-0.469501\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.67501 | − | 9.82941i | 0.436540 | − | 0.756109i | ||||
\(170\) | 4.02988 | 0.309078 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.52016 | 0.344659 | ||||||||
\(173\) | 7.85288 | − | 13.6016i | 0.597043 | − | 1.03411i | −0.396212 | − | 0.918159i | \(-0.629675\pi\) |
0.993255 | − | 0.115950i | \(-0.0369913\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.218431 | + | 0.378334i | 0.0165119 | + | 0.0285994i | ||||
\(176\) | 13.7331 | + | 23.7864i | 1.03517 | + | 1.79297i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 20.2799 | − | 35.1258i | 1.52004 | − | 2.63279i | ||||
\(179\) | −15.3843 | −1.14988 | −0.574939 | − | 0.818196i | \(-0.694974\pi\) | ||||
−0.574939 | + | 0.818196i | \(0.694974\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.19026 | −0.311460 | −0.155730 | − | 0.987800i | \(-0.549773\pi\) | ||||
−0.155730 | + | 0.987800i | \(0.549773\pi\) | |||||||
\(182\) | −0.252527 | + | 0.437389i | −0.0187185 | + | 0.0324214i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 19.4507 | + | 33.6896i | 1.43392 | + | 2.48363i | ||||
\(185\) | 5.70624 | + | 9.88349i | 0.419531 | + | 0.726649i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.04741 | + | 1.81418i | −0.0765945 | + | 0.132666i | ||||
\(188\) | 33.3812 | 2.43457 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 47.3440 | 3.43470 | ||||||||
\(191\) | −8.26169 | + | 14.3097i | −0.597795 | + | 1.03541i | 0.395351 | + | 0.918530i | \(0.370623\pi\) |
−0.993146 | + | 0.116881i | \(0.962710\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.222898 | + | 0.386070i | 0.0160445 | + | 0.0277899i | 0.873936 | − | 0.486041i | \(-0.161559\pi\) |
−0.857892 | + | 0.513831i | \(0.828226\pi\) | |||||||
\(194\) | −21.1252 | − | 36.5900i | −1.51670 | − | 2.62701i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 15.7670 | − | 27.3092i | 1.12621 | − | 1.95066i | ||||
\(197\) | −2.28962 | −0.163128 | −0.0815642 | − | 0.996668i | \(-0.525992\pi\) | ||||
−0.0815642 | + | 0.996668i | \(0.525992\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.92413 | −0.278174 | −0.139087 | − | 0.990280i | \(-0.544417\pi\) | ||||
−0.139087 | + | 0.990280i | \(0.544417\pi\) | |||||||
\(200\) | −9.12857 | + | 15.8111i | −0.645487 | + | 1.11802i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.2979 | + | 24.7646i | 1.00599 | + | 1.74243i | ||||
\(203\) | 0.668585 | + | 1.15802i | 0.0469254 | + | 0.0812772i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.5575 | + | 26.9463i | −1.08658 | + | 1.88201i | ||||
\(206\) | 36.7289 | 2.55902 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.49452 | −0.658327 | ||||||||
\(209\) | −12.3053 | + | 21.3134i | −0.851174 | + | 1.47428i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.02888 | + | 15.6385i | 0.621574 | + | 1.07660i | 0.989193 | + | 0.146621i | \(0.0468397\pi\) |
−0.367619 | + | 0.929977i | \(0.619827\pi\) | |||||||
\(212\) | 5.20048 | + | 9.00750i | 0.357171 | + | 0.618638i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −13.1908 | + | 22.8471i | −0.901702 | + | 1.56179i | ||||
\(215\) | −2.79948 | −0.190923 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.260780 | 0.0177029 | ||||||||
\(218\) | −11.0957 | + | 19.2184i | −0.751497 | + | 1.30163i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −23.5107 | − | 40.7217i | −1.58509 | − | 2.74546i | ||||
\(221\) | −0.362071 | − | 0.627125i | −0.0243555 | − | 0.0421850i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.15911 | − | 7.20379i | 0.278515 | − | 0.482402i | −0.692501 | − | 0.721417i | \(-0.743491\pi\) |
0.971016 | + | 0.239015i | \(0.0768246\pi\) | |||||||
\(224\) | −0.924468 | −0.0617686 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.7799 | −0.916628 | ||||||||
\(227\) | −6.96766 | + | 12.0683i | −0.462460 | + | 0.801004i | −0.999083 | − | 0.0428182i | \(-0.986366\pi\) |
0.536623 | + | 0.843822i | \(0.319700\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.834130 | + | 1.44476i | 0.0551209 | + | 0.0954722i | 0.892269 | − | 0.451504i | \(-0.149112\pi\) |
−0.837148 | + | 0.546976i | \(0.815779\pi\) | |||||||
\(230\) | −21.6065 | − | 37.4235i | −1.42469 | − | 2.46764i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −27.9411 | + | 48.3955i | −1.83443 | + | 3.17732i | ||||
\(233\) | −0.0999337 | −0.00654687 | −0.00327344 | − | 0.999995i | \(-0.501042\pi\) | ||||
−0.00327344 | + | 0.999995i | \(0.501042\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.6740 | −1.34863 | ||||||||
\(236\) | 13.3336 | − | 23.0946i | 0.867946 | − | 1.50333i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.110829 | − | 0.191962i | −0.00718399 | − | 0.0124430i | ||||
\(239\) | 5.84080 | + | 10.1166i | 0.377810 | + | 0.654386i | 0.990743 | − | 0.135749i | \(-0.0433440\pi\) |
−0.612934 | + | 0.790134i | \(0.710011\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.50504 | − | 4.33885i | 0.161364 | − | 0.279490i | −0.773994 | − | 0.633193i | \(-0.781744\pi\) |
0.935358 | + | 0.353702i | \(0.115077\pi\) | |||||||
\(242\) | 7.16979 | 0.460892 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −18.7593 | −1.20094 | ||||||||
\(245\) | −9.76500 | + | 16.9135i | −0.623863 | + | 1.08056i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.25369 | − | 7.36761i | −0.270656 | − | 0.468790i | ||||
\(248\) | 5.44920 | + | 9.43829i | 0.346024 | + | 0.599332i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −7.73059 | + | 13.3898i | −0.488926 | + | 0.846844i | ||||
\(251\) | 4.73634 | 0.298955 | 0.149478 | − | 0.988765i | \(-0.452241\pi\) | ||||
0.149478 | + | 0.988765i | \(0.452241\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.4631 | 1.41225 | ||||||||
\(254\) | −11.4069 | + | 19.7573i | −0.715731 | + | 1.23968i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.0935 | + | 24.4107i | 0.880845 | + | 1.52567i | ||||
\(257\) | 8.19567 | + | 14.1953i | 0.511232 | + | 0.885480i | 0.999915 | + | 0.0130184i | \(0.00414400\pi\) |
−0.488683 | + | 0.872461i | \(0.662523\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.313864 | − | 0.543629i | 0.0195026 | − | 0.0337795i | ||||
\(260\) | 16.2544 | 1.00805 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 22.9996 | 1.42092 | ||||||||
\(263\) | 8.02200 | − | 13.8945i | 0.494658 | − | 0.856772i | −0.505323 | − | 0.862930i | \(-0.668627\pi\) |
0.999981 | + | 0.00615770i | \(0.00196007\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.22083 | − | 5.57864i | −0.197854 | − | 0.342693i | ||||
\(266\) | −1.30205 | − | 2.25521i | −0.0798337 | − | 0.138276i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −24.1554 | + | 41.8384i | −1.47553 | + | 2.55569i | ||||
\(269\) | −15.7847 | −0.962412 | −0.481206 | − | 0.876607i | \(-0.659801\pi\) | ||||
−0.481206 | + | 0.876607i | \(0.659801\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 30.4843 | 1.85179 | 0.925894 | − | 0.377784i | \(-0.123314\pi\) | ||||
0.925894 | + | 0.377784i | \(0.123314\pi\) | |||||||
\(272\) | 2.08348 | − | 3.60870i | 0.126330 | − | 0.218810i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.6493 | − | 32.3015i | −1.12664 | − | 1.95140i | ||||
\(275\) | 5.27119 | + | 9.12996i | 0.317865 | + | 0.550558i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.67683 | + | 16.7608i | −0.581424 | + | 1.00706i | 0.413887 | + | 0.910328i | \(0.364171\pi\) |
−0.995311 | + | 0.0967280i | \(0.969162\pi\) | |||||||
\(278\) | −31.7857 | −1.90638 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.77399 | 0.165778 | ||||||||
\(281\) | −9.15517 | + | 15.8572i | −0.546152 | + | 0.945962i | 0.452382 | + | 0.891824i | \(0.350574\pi\) |
−0.998533 | + | 0.0541381i | \(0.982759\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.00971 | − | 10.4091i | −0.357240 | − | 0.618758i | 0.630259 | − | 0.776385i | \(-0.282949\pi\) |
−0.987499 | + | 0.157627i | \(0.949616\pi\) | |||||||
\(284\) | 28.5184 | + | 49.3953i | 1.69225 | + | 2.93107i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.09398 | + | 10.5551i | −0.360344 | + | 0.624135i | ||||
\(287\) | 1.71144 | 0.101023 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.6822 | −0.981305 | ||||||||
\(290\) | 31.0380 | − | 53.7593i | 1.82261 | − | 3.15686i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.32532 | − | 5.75963i | −0.194600 | − | 0.337057i | ||||
\(293\) | 8.79180 | + | 15.2278i | 0.513623 | + | 0.889620i | 0.999875 | + | 0.0158021i | \(0.00503018\pi\) |
−0.486253 | + | 0.873818i | \(0.661636\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.25796 | + | 14.3032i | −0.480797 | + | 0.832765i | ||||
\(296\) | 26.2337 | 1.52480 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −41.7481 | −2.41840 | ||||||||
\(299\) | −3.88253 | + | 6.72475i | −0.224533 | + | 0.388902i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0769910 | + | 0.133352i | 0.00443769 | + | 0.00768630i | ||||
\(302\) | 20.4860 | + | 35.4829i | 1.17884 | + | 2.04181i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 24.4773 | − | 42.3959i | 1.40387 | − | 2.43157i | ||||
\(305\) | 11.6182 | 0.665257 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.91335 | −0.565785 | −0.282892 | − | 0.959152i | \(-0.591294\pi\) | ||||
−0.282892 | + | 0.959152i | \(0.591294\pi\) | |||||||
\(308\) | −1.29318 | + | 2.23985i | −0.0736855 | + | 0.127627i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.05316 | − | 10.4844i | −0.343796 | − | 0.595472i | ||||
\(311\) | −13.0471 | − | 22.5982i | −0.739831 | − | 1.28143i | −0.952571 | − | 0.304316i | \(-0.901572\pi\) |
0.212740 | − | 0.977109i | \(-0.431761\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.38738 | + | 4.13507i | −0.134943 | + | 0.233728i | −0.925576 | − | 0.378563i | \(-0.876418\pi\) |
0.790633 | + | 0.612291i | \(0.209752\pi\) | |||||||
\(314\) | 3.87057 | 0.218429 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 37.6457 | 2.11774 | ||||||||
\(317\) | 10.6534 | − | 18.4523i | 0.598357 | − | 1.03639i | −0.394706 | − | 0.918807i | \(-0.629154\pi\) |
0.993064 | − | 0.117578i | \(-0.0375130\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.1343 | + | 27.9454i | 0.903347 | + | 1.56464i | ||||
\(320\) | 0.765979 | + | 1.32672i | 0.0428195 | + | 0.0741656i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.18844 | + | 2.05843i | −0.0662290 | + | 0.114712i | ||||
\(323\) | 3.73373 | 0.207750 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.64429 | −0.202149 | ||||||||
\(326\) | −23.1623 | + | 40.1182i | −1.28284 | + | 2.22194i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 35.7617 | + | 61.9412i | 1.97461 | + | 3.42013i | ||||
\(329\) | 0.568575 | + | 0.984800i | 0.0313465 | + | 0.0542938i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.03831 | + | 3.53046i | −0.112036 | + | 0.194052i | −0.916591 | − | 0.399826i | \(-0.869070\pi\) |
0.804555 | + | 0.593878i | \(0.202404\pi\) | |||||||
\(332\) | −31.5389 | −1.73092 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 53.7351 | 2.94026 | ||||||||
\(335\) | 14.9602 | − | 25.9119i | 0.817365 | − | 1.41572i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.30238 | − | 3.98784i | −0.125419 | − | 0.217231i | 0.796478 | − | 0.604668i | \(-0.206694\pi\) |
−0.921896 | + | 0.387436i | \(0.873361\pi\) | |||||||
\(338\) | 14.4909 | + | 25.0990i | 0.788203 | + | 1.36521i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.56687 | + | 6.17800i | −0.193441 | + | 0.335049i | ||||
\(341\) | 6.29315 | 0.340793 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.15210 | 0.116202 | ||||||||
\(344\) | −3.21757 | + | 5.57299i | −0.173480 | + | 0.300475i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 20.0520 | + | 34.7311i | 1.07800 | + | 1.86716i | ||||
\(347\) | 6.62588 | + | 11.4764i | 0.355696 | + | 0.616084i | 0.987237 | − | 0.159259i | \(-0.0509105\pi\) |
−0.631541 | + | 0.775343i | \(0.717577\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.46592 | + | 2.53905i | −0.0784690 | + | 0.135912i | −0.902590 | − | 0.430502i | \(-0.858336\pi\) |
0.824121 | + | 0.566414i | \(0.191670\pi\) | |||||||
\(350\) | −1.11551 | −0.0596266 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −22.3093 | −1.18909 | ||||||||
\(353\) | 14.7204 | − | 25.4964i | 0.783487 | − | 1.35704i | −0.146412 | − | 0.989224i | \(-0.546773\pi\) |
0.929899 | − | 0.367815i | \(-0.119894\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.6624 | − | 30.5921i | −0.937420 | − | 1.62366i | ||||
\(356\) | 35.8997 | + | 62.1801i | 1.90268 | + | 3.29554i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.6416 | − | 34.0203i | 1.03809 | − | 1.79803i | ||||
\(359\) | 35.4312 | 1.86999 | 0.934994 | − | 0.354664i | \(-0.115405\pi\) | ||||
0.934994 | + | 0.354664i | \(0.115405\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 24.8648 | 1.30867 | ||||||||
\(362\) | 5.34983 | − | 9.26618i | 0.281181 | − | 0.487020i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.447025 | − | 0.774270i | −0.0234305 | − | 0.0405828i | ||||
\(365\) | 2.05948 | + | 3.56712i | 0.107798 | + | 0.186712i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.95549 | − | 6.85111i | 0.206475 | − | 0.357625i | −0.744127 | − | 0.668039i | \(-0.767134\pi\) |
0.950602 | + | 0.310413i | \(0.100467\pi\) | |||||||
\(368\) | −44.6830 | −2.32926 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −29.1413 | −1.51498 | ||||||||
\(371\) | −0.177158 | + | 0.306846i | −0.00919756 | + | 0.0159306i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.971984 | − | 1.68353i | −0.0503274 | − | 0.0871697i | 0.839764 | − | 0.542951i | \(-0.182693\pi\) |
−0.890092 | + | 0.455782i | \(0.849360\pi\) | |||||||
\(374\) | −2.67453 | − | 4.63243i | −0.138297 | − | 0.239537i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −23.7616 | + | 41.1563i | −1.22541 | + | 2.12247i | ||||
\(377\) | −11.1546 | −0.574492 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.52784 | 0.438046 | 0.219023 | − | 0.975720i | \(-0.429713\pi\) | ||||
0.219023 | + | 0.975720i | \(0.429713\pi\) | |||||||
\(380\) | −41.9044 | + | 72.5806i | −2.14965 | + | 3.72331i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.0959 | − | 36.5392i | −1.07936 | − | 1.86951i | ||||
\(383\) | 5.04469 | + | 8.73766i | 0.257772 | + | 0.446474i | 0.965645 | − | 0.259866i | \(-0.0836784\pi\) |
−0.707873 | + | 0.706340i | \(0.750345\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.800905 | − | 1.38721i | 0.0408179 | − | 0.0706987i | ||||
\(386\) | −1.13832 | −0.0579390 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 74.7922 | 3.79700 | ||||||||
\(389\) | 0.792197 | − | 1.37213i | 0.0401660 | − | 0.0695695i | −0.845244 | − | 0.534381i | \(-0.820545\pi\) |
0.885410 | + | 0.464812i | \(0.153878\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.70397 | − | 2.95137i | −0.0861736 | − | 0.149257i | ||||
\(392\) | 22.4467 | + | 38.8788i | 1.13373 | + | 1.96368i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.92322 | − | 5.06317i | 0.147270 | − | 0.255079i | ||||
\(395\) | −23.3152 | −1.17312 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.37215 | −0.269620 | −0.134810 | − | 0.990871i | \(-0.543042\pi\) | ||||
−0.134810 | + | 0.990871i | \(0.543042\pi\) | |||||||
\(398\) | 5.01005 | − | 8.67767i | 0.251131 | − | 0.434972i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.4853 | − | 18.1610i | −0.524264 | − | 0.908052i | ||||
\(401\) | −6.75094 | − | 11.6930i | −0.337126 | − | 0.583919i | 0.646765 | − | 0.762689i | \(-0.276121\pi\) |
−0.983891 | + | 0.178770i | \(0.942788\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.08771 | + | 1.88397i | −0.0541827 | + | 0.0938471i | ||||
\(404\) | −50.6205 | −2.51846 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.41441 | −0.169454 | ||||||||
\(407\) | 7.57417 | − | 13.1189i | 0.375438 | − | 0.650277i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.36718 | − | 16.2244i | −0.463177 | − | 0.802247i | 0.535940 | − | 0.844256i | \(-0.319957\pi\) |
−0.999117 | + | 0.0420093i | \(0.986624\pi\) | |||||||
\(410\) | −39.7254 | − | 68.8064i | −1.96190 | − | 3.39810i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −32.5089 | + | 56.3071i | −1.60160 | + | 2.77405i | ||||
\(413\) | 0.908437 | 0.0447013 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 19.5331 | 0.958840 | ||||||||
\(416\) | 3.85594 | − | 6.67868i | 0.189053 | − | 0.327449i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −31.4210 | − | 54.4228i | −1.53685 | − | 2.66191i | ||||
\(419\) | 4.59794 | + | 7.96387i | 0.224624 | + | 0.389060i | 0.956207 | − | 0.292693i | \(-0.0945513\pi\) |
−0.731583 | + | 0.681753i | \(0.761218\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.48856 | − | 4.31031i | 0.121285 | − | 0.210072i | −0.798990 | − | 0.601345i | \(-0.794632\pi\) |
0.920275 | + | 0.391273i | \(0.127965\pi\) | |||||||
\(422\) | −46.1098 | −2.24459 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −14.8074 | −0.719109 | ||||||||
\(425\) | 0.799706 | − | 1.38513i | 0.0387914 | − | 0.0671887i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.319523 | − | 0.553430i | −0.0154628 | − | 0.0267823i | ||||
\(428\) | −23.3504 | − | 40.4441i | −1.12869 | − | 1.95494i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.57418 | − | 6.19067i | 0.172362 | − | 0.298541i | ||||
\(431\) | 2.97671 | 0.143383 | 0.0716916 | − | 0.997427i | \(-0.477160\pi\) | ||||
0.0716916 | + | 0.997427i | \(0.477160\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.07208 | −0.0995780 | −0.0497890 | − | 0.998760i | \(-0.515855\pi\) | ||||
−0.0497890 | + | 0.998760i | \(0.515855\pi\) | |||||||
\(434\) | −0.332946 | + | 0.576680i | −0.0159819 | + | 0.0276815i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −19.6418 | − | 34.0205i | −0.940670 | − | 1.62929i | ||||
\(437\) | −20.0187 | − | 34.6734i | −0.957623 | − | 1.65865i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.8388 | − | 18.7734i | 0.517310 | − | 0.896007i | −0.482488 | − | 0.875903i | \(-0.660267\pi\) |
0.999798 | − | 0.0201044i | \(-0.00639985\pi\) | |||||||
\(440\) | 66.9420 | 3.19134 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.84907 | 0.0879511 | ||||||||
\(443\) | 8.90773 | − | 15.4286i | 0.423219 | − | 0.733037i | −0.573033 | − | 0.819532i | \(-0.694233\pi\) |
0.996252 | + | 0.0864954i | \(0.0275668\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −22.2338 | − | 38.5101i | −1.05399 | − | 1.82556i | ||||
\(446\) | 10.6201 | + | 18.3946i | 0.502878 | + | 0.871010i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.0421317 | − | 0.0729743i | 0.00199054 | − | 0.00344771i | ||||
\(449\) | 39.1785 | 1.84895 | 0.924475 | − | 0.381243i | \(-0.124504\pi\) | ||||
0.924475 | + | 0.381243i | \(0.124504\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 41.3004 | 1.94476 | ||||||||
\(452\) | 12.1967 | − | 21.1253i | 0.573684 | − | 0.993650i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.7916 | − | 30.8160i | −0.835003 | − | 1.44627i | ||||
\(455\) | 0.276857 | + | 0.479531i | 0.0129793 | + | 0.0224807i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.53806 | + | 2.66400i | −0.0719474 | + | 0.124617i | −0.899755 | − | 0.436396i | \(-0.856255\pi\) |
0.827807 | + | 0.561012i | \(0.189588\pi\) | |||||||
\(458\) | −4.25984 | −0.199049 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 76.4960 | 3.56665 | ||||||||
\(461\) | −2.07652 | + | 3.59664i | −0.0967131 | + | 0.167512i | −0.910322 | − | 0.413900i | \(-0.864166\pi\) |
0.813609 | + | 0.581412i | \(0.197500\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.54662 | − | 6.14292i | −0.164825 | − | 0.285486i | 0.771768 | − | 0.635904i | \(-0.219373\pi\) |
−0.936593 | + | 0.350418i | \(0.886039\pi\) | |||||||
\(464\) | −32.0938 | − | 55.5881i | −1.48992 | − | 2.58061i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.127588 | − | 0.220990i | 0.00591042 | − | 0.0102371i | ||||
\(467\) | 10.7211 | 0.496112 | 0.248056 | − | 0.968746i | \(-0.420208\pi\) | ||||
0.248056 | + | 0.968746i | \(0.420208\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.64574 | −0.0759932 | ||||||||
\(470\) | 26.3952 | − | 45.7178i | 1.21752 | − | 2.10880i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 18.9825 | + | 32.8786i | 0.873739 | + | 1.51336i | ||||
\(473\) | 1.85795 | + | 3.21806i | 0.0854285 | + | 0.147967i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.39514 | − | 16.2729i | 0.431078 | − | 0.746650i | ||||
\(476\) | 0.392382 | 0.0179848 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −29.8285 | −1.36432 | ||||||||
\(479\) | −3.40786 | + | 5.90259i | −0.155709 | + | 0.269696i | −0.933317 | − | 0.359053i | \(-0.883100\pi\) |
0.777608 | + | 0.628750i | \(0.216433\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.61824 | + | 4.53493i | 0.119382 | + | 0.206775i | ||||
\(482\) | 6.39652 | + | 11.0791i | 0.291353 | + | 0.504639i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.34602 | + | 10.9916i | −0.288455 | + | 0.499619i | ||||
\(485\) | −46.3212 | −2.10334 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.3377 | −0.785645 | −0.392823 | − | 0.919614i | \(-0.628501\pi\) | ||||
−0.392823 | + | 0.919614i | \(0.628501\pi\) | |||||||
\(488\) | 13.3533 | − | 23.1286i | 0.604477 | − | 1.04698i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −24.9345 | − | 43.1879i | −1.12643 | − | 1.95103i | ||||
\(491\) | 7.95116 | + | 13.7718i | 0.358831 | + | 0.621514i | 0.987766 | − | 0.155944i | \(-0.0498421\pi\) |
−0.628935 | + | 0.777458i | \(0.716509\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.44778 | − | 4.23967i | 0.110242 | − | 0.190945i | ||||
\(494\) | 21.7233 | 0.977376 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.5181 | −0.562081 | ||||||||
\(497\) | −0.971496 | + | 1.68268i | −0.0435775 | + | 0.0754785i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.26248 | + | 3.91873i | 0.101282 | + | 0.175426i | 0.912213 | − | 0.409716i | \(-0.134372\pi\) |
−0.810931 | + | 0.585142i | \(0.801039\pi\) | |||||||
\(500\) | −13.6848 | − | 23.7027i | −0.612002 | − | 1.06002i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.04703 | + | 10.4738i | −0.269892 | + | 0.467467i | ||||
\(503\) | 19.5945 | 0.873674 | 0.436837 | − | 0.899541i | \(-0.356099\pi\) | ||||
0.436837 | + | 0.899541i | \(0.356099\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 31.3509 | 1.39510 | ||||||||
\(506\) | −28.6794 | + | 49.6742i | −1.27495 | + | 2.20829i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −20.1926 | − | 34.9745i | −0.895900 | − | 1.55174i | ||||
\(509\) | −14.4162 | − | 24.9696i | −0.638988 | − | 1.10676i | −0.985655 | − | 0.168772i | \(-0.946020\pi\) |
0.346667 | − | 0.937988i | \(-0.387313\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.113279 | − | 0.196205i | 0.00501117 | − | 0.00867960i | ||||
\(512\) | −50.7542 | −2.24304 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −41.8546 | −1.84613 | ||||||||
\(515\) | 20.1338 | − | 34.8728i | 0.887202 | − | 1.53668i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.7208 | + | 23.7652i | 0.603442 | + | 1.04519i | ||||
\(518\) | 0.801440 | + | 1.38814i | 0.0352133 | + | 0.0609912i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.5703 | + | 20.0403i | −0.507390 | + | 0.878825i | ||||
\(521\) | −39.0982 | −1.71292 | −0.856461 | − | 0.516211i | \(-0.827342\pi\) | ||||
−0.856461 | + | 0.516211i | \(0.827342\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.7298 | −0.906453 | −0.453226 | − | 0.891395i | \(-0.649727\pi\) | ||||
−0.453226 | + | 0.891395i | \(0.649727\pi\) | |||||||
\(524\) | −20.3570 | + | 35.2594i | −0.889301 | + | 1.54032i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.4839 | + | 35.4791i | 0.893139 | + | 1.54696i | ||||
\(527\) | −0.477375 | − | 0.826839i | −0.0207948 | − | 0.0360177i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.77193 | + | 11.7293i | −0.294432 | + | 0.509971i | ||||
\(530\) | 16.4485 | 0.714478 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.60980 | 0.199860 | ||||||||
\(533\) | −7.13837 | + | 12.3640i | −0.309197 | + | 0.535545i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.4617 | + | 25.0484i | 0.625233 | + | 1.08293i | ||||
\(536\) | −34.3889 | − | 59.5634i | −1.48538 | − | 2.57275i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 20.1529 | − | 34.9058i | 0.868851 | − | 1.50489i | ||||
\(539\) | 25.9232 | 1.11659 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 42.2499 | 1.81647 | 0.908233 | − | 0.418466i | \(-0.137432\pi\) | ||||
0.908233 | + | 0.418466i | \(0.137432\pi\) | |||||||
\(542\) | −38.9202 | + | 67.4117i | −1.67177 | + | 2.89558i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.69230 | + | 2.93115i | 0.0725567 | + | 0.125672i | ||||
\(545\) | 12.1648 | + | 21.0700i | 0.521082 | + | 0.902540i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.84352 | − | 11.8533i | 0.292608 | − | 0.506811i | −0.681818 | − | 0.731522i | \(-0.738810\pi\) |
0.974426 | + | 0.224711i | \(0.0721437\pi\) | |||||||
\(548\) | 66.0262 | 2.82050 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −26.9195 | −1.14785 | ||||||||
\(551\) | 28.7571 | − | 49.8087i | 1.22509 | − | 2.12192i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.641212 | + | 1.11061i | 0.0272671 | + | 0.0472280i | ||||
\(554\) | −24.7094 | − | 42.7979i | −1.04980 | − | 1.81831i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 28.1337 | − | 48.7290i | 1.19314 | − | 2.06657i | ||||
\(557\) | 19.8203 | 0.839813 | 0.419907 | − | 0.907567i | \(-0.362063\pi\) | ||||
0.419907 | + | 0.907567i | \(0.362063\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.28451 | −0.0543291 | ||||||||
\(560\) | −1.59314 | + | 2.75939i | −0.0673223 | + | 0.116606i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −23.3774 | − | 40.4908i | −0.986115 | − | 1.70800i | ||||
\(563\) | 20.6593 | + | 35.7830i | 0.870686 | + | 1.50807i | 0.861288 | + | 0.508117i | \(0.169658\pi\) |
0.00939822 | + | 0.999956i | \(0.497008\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.55381 | + | 13.0836i | −0.317791 | + | 0.550430i | ||||
\(566\) | 30.6911 | 1.29004 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −81.2005 | −3.40710 | ||||||||
\(569\) | 2.77982 | − | 4.81479i | 0.116536 | − | 0.201846i | −0.801857 | − | 0.597516i | \(-0.796154\pi\) |
0.918393 | + | 0.395670i | \(0.129488\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.1657 | + | 36.6600i | 0.885756 | + | 1.53417i | 0.844845 | + | 0.535011i | \(0.179693\pi\) |
0.0409107 | + | 0.999163i | \(0.486974\pi\) | |||||||
\(572\) | −10.7876 | − | 18.6847i | −0.451053 | − | 0.781247i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.18504 | + | 3.78461i | −0.0912020 | + | 0.157966i | ||||
\(575\) | −17.1507 | −0.715234 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.7514 | 0.780631 | 0.390316 | − | 0.920681i | \(-0.372366\pi\) | ||||
0.390316 | + | 0.920681i | \(0.372366\pi\) | |||||||
\(578\) | 21.2987 | − | 36.8904i | 0.885907 | − | 1.53444i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 54.9437 | + | 95.1653i | 2.28141 | + | 3.95153i | ||||
\(581\) | −0.537195 | − | 0.930450i | −0.0222866 | − | 0.0386016i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.27517 | + | 7.40481i | −0.177059 | + | 0.306676i | ||||
\(584\) | 9.46820 | 0.391797 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −44.8990 | −1.85476 | ||||||||
\(587\) | −6.01774 | + | 10.4230i | −0.248379 | + | 0.430204i | −0.963076 | − | 0.269229i | \(-0.913231\pi\) |
0.714698 | + | 0.699434i | \(0.246564\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.60832 | − | 9.71390i | −0.231087 | − | 0.400254i | ||||
\(590\) | −21.0864 | − | 36.5227i | −0.868112 | − | 1.50361i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −15.0663 | + | 26.0956i | −0.619221 | + | 1.07252i | ||||
\(593\) | −15.9739 | −0.655970 | −0.327985 | − | 0.944683i | \(-0.606370\pi\) | ||||
−0.327985 | + | 0.944683i | \(0.606370\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.243015 | −0.00996264 | ||||||||
\(596\) | 36.9515 | − | 64.0018i | 1.51359 | − | 2.62162i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.91390 | − | 17.1714i | −0.405410 | − | 0.702190i | ||||
\(599\) | 1.12275 | + | 1.94466i | 0.0458743 | + | 0.0794565i | 0.888051 | − | 0.459745i | \(-0.152059\pi\) |
−0.842177 | + | 0.539202i | \(0.818726\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.39385 | + | 4.14626i | −0.0976470 | + | 0.169130i | −0.910710 | − | 0.413046i | \(-0.864465\pi\) |
0.813063 | + | 0.582175i | \(0.197798\pi\) | |||||||
\(602\) | −0.393187 | −0.0160251 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −72.5292 | −2.95117 | ||||||||
\(605\) | 3.93029 | − | 6.80747i | 0.159789 | − | 0.276763i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.5002 | − | 25.1152i | −0.588547 | − | 1.01939i | −0.994423 | − | 0.105465i | \(-0.966367\pi\) |
0.405876 | − | 0.913928i | \(-0.366966\pi\) | |||||||
\(608\) | 19.8815 | + | 34.4358i | 0.806302 | + | 1.39656i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −14.8333 | + | 25.6921i | −0.600584 | + | 1.04024i | ||||
\(611\) | −9.48606 | −0.383765 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −36.6015 | −1.47832 | −0.739160 | − | 0.673530i | \(-0.764777\pi\) | ||||
−0.739160 | + | 0.673530i | \(0.764777\pi\) | |||||||
\(614\) | 12.6567 | − | 21.9220i | 0.510782 | − | 0.884700i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.84103 | − | 3.18876i | −0.0741772 | − | 0.128479i | ||||
\(617\) | −17.9241 | − | 31.0455i | −0.721599 | − | 1.24985i | −0.960359 | − | 0.278767i | \(-0.910074\pi\) |
0.238760 | − | 0.971079i | \(-0.423259\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16.4769 | − | 28.5388i | 0.662261 | − | 1.14707i | −0.317759 | − | 0.948171i | \(-0.602930\pi\) |
0.980020 | − | 0.198898i | \(-0.0637363\pi\) | |||||||
\(620\) | 21.4307 | 0.860678 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 66.6303 | 2.67163 | ||||||||
\(623\) | −1.22294 | + | 2.11820i | −0.0489962 | + | 0.0848640i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5682 | + | 26.9649i | 0.622727 | + | 1.07860i | ||||
\(626\) | −6.09608 | − | 10.5587i | −0.243649 | − | 0.422012i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.42586 | + | 5.93376i | −0.136707 | + | 0.236783i | ||||
\(629\) | −2.29820 | −0.0916351 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.8066 | 0.430203 | 0.215101 | − | 0.976592i | \(-0.430992\pi\) | ||||
0.215101 | + | 0.976592i | \(0.430992\pi\) | |||||||
\(632\) | −26.7972 | + | 46.4141i | −1.06593 | + | 1.84625i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 27.2032 | + | 47.1173i | 1.08038 | + | 1.87127i | ||||
\(635\) | 12.5059 | + | 21.6609i | 0.496282 | + | 0.859585i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.48056 | + | 7.76056i | −0.177526 | + | 0.307485i | ||||
\(638\) | −82.3965 | −3.26211 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 29.7029 | 1.17411 | ||||||||
\(641\) | −7.98234 | + | 13.8258i | −0.315284 | + | 0.546087i | −0.979498 | − | 0.201455i | \(-0.935433\pi\) |
0.664214 | + | 0.747542i | \(0.268766\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −17.8131 | − | 30.8532i | −0.702481 | − | 1.21673i | −0.967593 | − | 0.252515i | \(-0.918742\pi\) |
0.265113 | − | 0.964217i | \(-0.414591\pi\) | |||||||
\(644\) | −2.10378 | − | 3.64386i | −0.0829007 | − | 0.143588i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.76697 | + | 8.25664i | −0.187554 | + | 0.324853i | ||||
\(647\) | −16.4474 | −0.646612 | −0.323306 | − | 0.946294i | \(-0.604794\pi\) | ||||
−0.323306 | + | 0.946294i | \(0.604794\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 21.9224 | 0.860530 | ||||||||
\(650\) | 4.65278 | − | 8.05885i | 0.182497 | − | 0.316094i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −41.0021 | − | 71.0177i | −1.60577 | − | 2.78127i | ||||
\(653\) | −2.91944 | − | 5.05662i | −0.114246 | − | 0.197881i | 0.803232 | − | 0.595667i | \(-0.203112\pi\) |
−0.917478 | + | 0.397786i | \(0.869779\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.6078 | − | 21.8373i | 0.492626 | − | 0.853254i | ||||
\(656\) | −82.1535 | −3.20755 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.90367 | −0.113197 | ||||||||
\(659\) | 0.379323 | − | 0.657008i | 0.0147763 | − | 0.0255934i | −0.858543 | − | 0.512742i | \(-0.828630\pi\) |
0.873319 | + | 0.487149i | \(0.161963\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.5030 | + | 38.9764i | 0.875266 | + | 1.51601i | 0.856479 | + | 0.516182i | \(0.172647\pi\) |
0.0187875 | + | 0.999823i | \(0.494019\pi\) | |||||||
\(662\) | −5.20475 | − | 9.01489i | −0.202288 | − | 0.350374i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.4502 | − | 38.8849i | 0.871236 | − | 1.50903i | ||||
\(665\) | −2.85500 | −0.110712 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −52.4957 | −2.03264 | ||||||||
\(668\) | −47.5612 | + | 82.3785i | −1.84020 | + | 3.18732i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 38.2004 | + | 66.1650i | 1.47581 | + | 2.55618i | ||||
\(671\) | −7.71072 | − | 13.3554i | −0.297669 | − | 0.515578i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.44242 | − | 14.6227i | 0.325431 | − | 0.563664i | −0.656168 | − | 0.754615i | \(-0.727824\pi\) |
0.981600 | + | 0.190951i | \(0.0611572\pi\) | |||||||
\(674\) | 11.7581 | 0.452904 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −51.3040 | −1.97323 | ||||||||
\(677\) | 17.8495 | − | 30.9163i | 0.686014 | − | 1.18821i | −0.287103 | − | 0.957900i | \(-0.592692\pi\) |
0.973117 | − | 0.230311i | \(-0.0739743\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.27392 | + | 2.20649i | 0.0488886 | + | 0.0846775i | ||||
\(680\) | −5.07798 | − | 8.79531i | −0.194731 | − | 0.337285i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.03466 | + | 13.9164i | −0.307663 | + | 0.532888i | ||||
\(683\) | −13.0146 | −0.497989 | −0.248995 | − | 0.968505i | \(-0.580100\pi\) | ||||
−0.248995 | + | 0.968505i | \(0.580100\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −40.8922 | −1.56241 | ||||||||
\(686\) | −2.74765 | + | 4.75907i | −0.104906 | + | 0.181702i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.69577 | − | 6.40126i | −0.140900 | − | 0.244046i | ||||
\(689\) | −1.47784 | − | 2.55970i | −0.0563013 | − | 0.0975167i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.417863 | − | 0.723760i | 0.0158963 | − | 0.0275331i | −0.857968 | − | 0.513703i | \(-0.828273\pi\) |
0.873864 | + | 0.486170i | \(0.161607\pi\) | |||||||
\(692\) | −70.9926 | −2.69873 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −33.8379 | −1.28447 | ||||||||
\(695\) | −17.4241 | + | 30.1795i | −0.660935 | + | 1.14477i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.13290 | − | 5.42634i | −0.118667 | − | 0.205537i | ||||
\(698\) | −3.74317 | − | 6.48337i | −0.141681 | − | 0.245399i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.987345 | − | 1.71013i | 0.0373181 | − | 0.0646369i | ||||
\(701\) | −45.3676 | −1.71351 | −0.856755 | − | 0.515723i | \(-0.827523\pi\) | ||||
−0.856755 | + | 0.515723i | \(0.827523\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.9998 | −1.01832 | ||||||||
\(704\) | 1.01672 | − | 1.76102i | 0.0383192 | − | 0.0663708i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 37.5879 | + | 65.1042i | 1.41464 | + | 2.45023i | ||||
\(707\) | −0.862208 | − | 1.49339i | −0.0324267 | − | 0.0561647i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.101566 | + | 0.175917i | −0.00381438 | + | 0.00660669i | −0.867926 | − | 0.496693i | \(-0.834547\pi\) |
0.864112 | + | 0.503300i | \(0.167881\pi\) | |||||||
\(710\) | 90.2003 | 3.38516 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −102.217 | −3.83075 | ||||||||
\(713\) | −5.11896 | + | 8.86631i | −0.191707 | + | 0.332046i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.68112 | + | 11.5720i | 0.249860 | + | 0.432770i | ||||
\(716\) | 34.7698 | + | 60.2230i | 1.29941 | + | 2.25064i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −45.2361 | + | 78.3512i | −1.68820 | + | 2.92404i | ||||
\(719\) | 15.9357 | 0.594302 | 0.297151 | − | 0.954830i | \(-0.403963\pi\) | ||||
0.297151 | + | 0.954830i | \(0.403963\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.21487 | −0.0824861 | ||||||||
\(722\) | −31.7456 | + | 54.9851i | −1.18145 | + | 2.04633i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 9.47033 | + | 16.4031i | 0.351962 | + | 0.609616i | ||||
\(725\) | −12.3186 | − | 21.3364i | −0.457501 | − | 0.792416i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.9224 | − | 39.7028i | 0.850146 | − | 1.47250i | −0.0309292 | − | 0.999522i | \(-0.509847\pi\) |
0.881076 | − | 0.472975i | \(-0.156820\pi\) | |||||||
\(728\) | 1.27282 | 0.0471737 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −10.5176 | −0.389274 | ||||||||
\(731\) | 0.281874 | − | 0.488220i | 0.0104255 | − | 0.0180575i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.17170 | − | 5.49354i | −0.117149 | − | 0.202908i | 0.801488 | − | 0.598011i | \(-0.204042\pi\) |
−0.918637 | + | 0.395103i | \(0.870709\pi\) | |||||||
\(734\) | 10.1002 | + | 17.4940i | 0.372805 | + | 0.645717i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 18.1468 | − | 31.4311i | 0.668898 | − | 1.15857i | ||||
\(737\) | −39.7150 | −1.46292 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.6732 | 1.20190 | 0.600951 | − | 0.799286i | \(-0.294789\pi\) | ||||
0.600951 | + | 0.799286i | \(0.294789\pi\) | |||||||
\(740\) | 25.7931 | − | 44.6750i | 0.948174 | − | 1.64228i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.452365 | − | 0.783519i | −0.0166068 | − | 0.0287639i | ||||
\(743\) | −10.1642 | − | 17.6049i | −0.372888 | − | 0.645861i | 0.617120 | − | 0.786869i | \(-0.288299\pi\) |
−0.990009 | + | 0.141008i | \(0.954966\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.8852 | + | 39.6384i | −0.838450 | + | 1.45224i | ||||
\(746\) | 4.96385 | 0.181739 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.46897 | 0.346220 | ||||||||
\(749\) | 0.795446 | − | 1.37775i | 0.0290650 | − | 0.0503420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.69532 | + | 11.5966i | 0.244316 | + | 0.423167i | 0.961939 | − | 0.273264i | \(-0.0881034\pi\) |
−0.717623 | + | 0.696431i | \(0.754770\pi\) | |||||||
\(752\) | −27.2931 | − | 47.2730i | −0.995276 | − | 1.72387i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 14.2414 | − | 24.6669i | 0.518642 | − | 0.898315i | ||||
\(755\) | 44.9197 | 1.63479 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 33.6454 | 1.22286 | 0.611432 | − | 0.791297i | \(-0.290594\pi\) | ||||
0.611432 | + | 0.791297i | \(0.290594\pi\) | |||||||
\(758\) | −10.8878 | + | 18.8581i | −0.395461 | + | 0.684959i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −59.6573 | − | 103.329i | −2.16400 | − | 3.74815i | ||||
\(761\) | 7.03148 | + | 12.1789i | 0.254891 | + | 0.441484i | 0.964866 | − | 0.262743i | \(-0.0846271\pi\) |
−0.709975 | + | 0.704227i | \(0.751294\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.669108 | − | 1.15893i | 0.0242233 | − | 0.0419561i | ||||
\(764\) | 74.6883 | 2.70213 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −25.7628 | −0.930849 | ||||||||
\(767\) | −3.78907 | + | 6.56287i | −0.136816 | + | 0.236971i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.83464 | + | 3.17768i | 0.0661587 | + | 0.114590i | 0.897207 | − | 0.441609i | \(-0.145592\pi\) |
−0.831049 | + | 0.556200i | \(0.812259\pi\) | |||||||
\(770\) | 2.04508 | + | 3.54218i | 0.0736996 | + | 0.127651i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.00753 | − | 1.74510i | 0.0362619 | − | 0.0628075i | ||||
\(773\) | −27.7108 | −0.996686 | −0.498343 | − | 0.866980i | \(-0.666058\pi\) | ||||
−0.498343 | + | 0.866980i | \(0.666058\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.80485 | −0.172595 | ||||||||
\(776\) | −53.2390 | + | 92.2126i | −1.91117 | + | 3.31024i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.02284 | + | 3.50367i | 0.0725225 | + | 0.125613i | ||||
\(779\) | −36.8060 | − | 63.7499i | −1.31871 | − | 2.28408i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −23.4441 | + | 40.6064i | −0.838897 | + | 1.45301i | ||||
\(782\) | 8.70205 | 0.311185 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −51.5655 | −1.84163 | ||||||||
\(785\) | 2.12175 | − | 3.67497i | 0.0757283 | − | 0.131165i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.6833 | + | 23.7002i | 0.487757 | + | 0.844820i | 0.999901 | − | 0.0140795i | \(-0.00448178\pi\) |
−0.512144 | + | 0.858900i | \(0.671148\pi\) | |||||||
\(788\) | 5.17472 | + | 8.96287i | 0.184342 | + | 0.319289i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 29.7672 | − | 51.5584i | 1.05907 | − | 1.83436i | ||||
\(791\) | 0.830975 | 0.0295461 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.33089 | 0.189306 | ||||||||
\(794\) | 6.85879 | − | 11.8798i | 0.243409 | − | 0.421597i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.86885 | + | 15.3613i | 0.314348 | + | 0.544467i | ||||
\(797\) | 19.2017 | + | 33.2583i | 0.680159 | + | 1.17807i | 0.974932 | + | 0.222503i | \(0.0714226\pi\) |
−0.294773 | + | 0.955567i | \(0.595244\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.08163 | − | 3.60548i | 0.0736427 | − | 0.127553i | ||||
\(800\) | 17.0332 | 0.602215 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 34.4765 | 1.21741 | ||||||||
\(803\) | 2.73365 | − | 4.73482i | 0.0964684 | − | 0.167088i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.30294 | + | 2.25676i | 0.0459227 | + | 0.0795404i | ||||
\(806\) | −2.77742 | − | 4.81064i | −0.0978306 | − | 0.169448i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 36.0329 | − | 62.4109i | 1.26763 | − | 2.19561i | ||||
\(809\) | −38.1968 | −1.34293 | −0.671464 | − | 0.741037i | \(-0.734334\pi\) | ||||
−0.671464 | + | 0.741037i | \(0.734334\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.50867 | −0.263665 | −0.131833 | − | 0.991272i | \(-0.542086\pi\) | ||||
−0.131833 | + | 0.991272i | \(0.542086\pi\) | |||||||
\(812\) | 3.02211 | − | 5.23445i | 0.106055 | − | 0.183693i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 19.3404 | + | 33.4985i | 0.677879 | + | 1.17412i | ||||
\(815\) | 25.3939 | + | 43.9835i | 0.889510 | + | 1.54068i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.31153 | − | 5.73573i | 0.115856 | − | 0.200668i | ||||
\(818\) | 47.8375 | 1.67260 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 140.645 | 4.91152 | ||||||||
\(821\) | 3.60607 | − | 6.24590i | 0.125853 | − | 0.217984i | −0.796213 | − | 0.605016i | \(-0.793167\pi\) |
0.922066 | + | 0.387033i | \(0.126500\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.95071 | − | 3.37873i | −0.0679975 | − | 0.117775i | 0.830022 | − | 0.557730i | \(-0.188328\pi\) |
−0.898020 | + | 0.439955i | \(0.854994\pi\) | |||||||
\(824\) | −46.2814 | − | 80.1616i | −1.61229 | − | 2.79256i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.15983 | + | 2.00888i | −0.0403556 | + | 0.0698980i | ||||
\(827\) | 56.2324 | 1.95539 | 0.977696 | − | 0.210023i | \(-0.0673540\pi\) | ||||
0.977696 | + | 0.210023i | \(0.0673540\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.3784 | −0.742502 | −0.371251 | − | 0.928533i | \(-0.621071\pi\) | ||||
−0.371251 | + | 0.928533i | \(0.621071\pi\) | |||||||
\(830\) | −24.9384 | + | 43.1946i | −0.865626 | + | 1.49931i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.351461 | + | 0.608749i | 0.0121847 | + | 0.0211046i | ||||
\(833\) | −1.96644 | − | 3.40597i | −0.0681330 | − | 0.118010i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 29.4562 | − | 51.0197i | 1.01937 | − | 1.76561i | ||||
\(836\) | 111.244 | 3.84744 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −23.4813 | −0.811149 | ||||||||
\(839\) | 16.2334 | − | 28.1171i | 0.560439 | − | 0.970709i | −0.437019 | − | 0.899452i | \(-0.643966\pi\) |
0.997458 | − | 0.0712567i | \(-0.0227009\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.2053 | − | 40.1928i | −0.800184 | − | 1.38596i | ||||
\(842\) | 6.35444 | + | 11.0062i | 0.218989 | + | 0.379299i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 40.8120 | − | 70.6885i | 1.40481 | − | 2.43320i | ||||
\(845\) | 31.7742 | 1.09307 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.432362 | −0.0148561 | ||||||||
\(848\) | 8.50403 | − | 14.7294i | 0.292030 | − | 0.505810i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.04202 | + | 3.53688i | 0.0700406 | + | 0.121314i | ||||
\(851\) | 12.3219 | + | 21.3422i | 0.422391 | + | 0.731602i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.38253 | − | 7.59076i | 0.150055 | − | 0.259903i | −0.781193 | − | 0.624290i | \(-0.785388\pi\) |
0.931247 | + | 0.364387i | \(0.118722\pi\) | |||||||
\(854\) | 1.63178 | 0.0558383 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 66.4857 | 2.27244 | ||||||||
\(857\) | 19.6447 | − | 34.0256i | 0.671049 | − | 1.16229i | −0.306557 | − | 0.951852i | \(-0.599177\pi\) |
0.977607 | − | 0.210440i | \(-0.0674895\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.7541 | + | 32.4830i | 0.639880 | + | 1.10831i | 0.985459 | + | 0.169915i | \(0.0543494\pi\) |
−0.345578 | + | 0.938390i | \(0.612317\pi\) | |||||||
\(860\) | 6.32706 | + | 10.9588i | 0.215751 | + | 0.373691i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.80046 | + | 6.58259i | −0.129444 | + | 0.224204i | ||||
\(863\) | −35.2574 | −1.20018 | −0.600088 | − | 0.799934i | \(-0.704868\pi\) | ||||
−0.600088 | + | 0.799934i | \(0.704868\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 43.9680 | 1.49496 | ||||||||
\(866\) | 2.64549 | − | 4.58213i | 0.0898975 | − | 0.155707i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.589385 | − | 1.02084i | −0.0200050 | − | 0.0346497i | ||||
\(869\) | 15.4737 | + | 26.8013i | 0.524910 | + | 0.909171i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.86434 | − | 11.8894i | 0.232589 | − | 0.402857i | ||||
\(872\) | 55.9260 | 1.89389 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 102.234 | 3.45811 | ||||||||
\(875\) | 0.466180 | − | 0.807447i | 0.0157598 | − | 0.0272967i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.40354 | + | 7.62715i | 0.148697 | + | 0.257551i | 0.930746 | − | 0.365666i | \(-0.119159\pi\) |
−0.782049 | + | 0.623217i | \(0.785825\pi\) | |||||||
\(878\) | 27.6766 | + | 47.9372i | 0.934039 | + | 1.61780i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −38.4455 | + | 66.5896i | −1.29600 | + | 2.24474i | ||||
\(881\) | 22.3061 | 0.751512 | 0.375756 | − | 0.926719i | \(-0.377383\pi\) | ||||
0.375756 | + | 0.926719i | \(0.377383\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.9751 | −0.436648 | −0.218324 | − | 0.975876i | \(-0.570059\pi\) | ||||
−0.218324 | + | 0.975876i | \(0.570059\pi\) | |||||||
\(884\) | −1.63662 | + | 2.83471i | −0.0550454 | + | 0.0953415i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 22.7455 | + | 39.3964i | 0.764151 | + | 1.32355i | ||||
\(887\) | −18.4547 | − | 31.9645i | −0.619648 | − | 1.07326i | −0.989550 | − | 0.144191i | \(-0.953942\pi\) |
0.369902 | − | 0.929071i | \(-0.379391\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.687871 | − | 1.19143i | 0.0230705 | − | 0.0399592i | ||||
\(890\) | 113.546 | 3.80609 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −37.5997 | −1.25893 | ||||||||
\(893\) | 24.4555 | − | 42.3581i | 0.818370 | − | 1.41746i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.5341 | − | 37.2981i | −0.719804 | − | 1.24674i | ||||
\(896\) | −0.816886 | − | 1.41489i | −0.0272902 | − | 0.0472681i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −50.0204 | + | 86.6379i | −1.66920 | + | 2.89115i | ||||
\(899\) | −14.7069 | −0.490503 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.29719 | 0.0432158 | ||||||||
\(902\) | −52.7295 | + | 91.3302i | −1.75570 | + | 3.04096i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 17.3638 | + | 30.0751i | 0.577513 | + | 1.00028i | ||||
\(905\) | −5.86528 | − | 10.1590i | −0.194969 | − | 0.337695i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −23.9021 | + | 41.3996i | −0.793656 | + | 1.37465i | 0.130033 | + | 0.991510i | \(0.458492\pi\) |
−0.923689 | + | 0.383143i | \(0.874842\pi\) | |||||||
\(908\) | 62.9899 | 2.09039 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.41389 | −0.0468699 | ||||||||
\(911\) | 8.12177 | − | 14.0673i | 0.269086 | − | 0.466071i | −0.699540 | − | 0.714594i | \(-0.746612\pi\) |
0.968626 | + | 0.248523i | \(0.0799450\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.9636 | − | 22.4536i | −0.429033 | − | 0.743106i | ||||
\(914\) | −3.92737 | − | 6.80241i | −0.129906 | − | 0.225004i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.77040 | − | 6.53053i | 0.124578 | − | 0.215775i | ||||
\(917\) | −1.38695 | −0.0458011 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.1366 | −0.532297 | −0.266149 | − | 0.963932i | \(-0.585751\pi\) | ||||
−0.266149 | + | 0.963932i | \(0.585751\pi\) | |||||||
\(920\) | −54.4519 | + | 94.3134i | −1.79522 | + | 3.10942i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −5.30231 | − | 9.18387i | −0.174622 | − | 0.302455i | ||||
\(923\) | −8.10418 | − | 14.0368i | −0.266752 | − | 0.462028i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.78292 | + | 10.0163i | −0.190141 | + | 0.329334i | ||||
\(926\) | 18.1123 | 0.595207 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 52.1360 | 1.71145 | ||||||||
\(929\) | 7.13260 | − | 12.3540i | 0.234013 | − | 0.405322i | −0.724972 | − | 0.688778i | \(-0.758148\pi\) |
0.958985 | + | 0.283456i | \(0.0914808\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.1022 | − | 40.0141i | −0.757143 | − | 1.31141i | ||||
\(932\) | 0.225858 | + | 0.391198i | 0.00739823 | + | 0.0128141i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.6879 | + | 23.7082i | −0.447882 | + | 0.775755i | ||||
\(935\) | −5.86444 | −0.191788 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.3390 | 0.925795 | 0.462897 | − | 0.886412i | \(-0.346810\pi\) | ||||
0.462897 | + | 0.886412i | \(0.346810\pi\) | |||||||
\(938\) | 2.10116 | − | 3.63932i | 0.0686055 | − | 0.118828i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 46.7250 | + | 80.9301i | 1.52400 | + | 2.63965i | ||||
\(941\) | 24.2002 | + | 41.9160i | 0.788904 | + | 1.36642i | 0.926639 | + | 0.375952i | \(0.122684\pi\) |
−0.137735 | + | 0.990469i | \(0.543982\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.5945 | + | 58.1874i | −1.09399 | + | 1.89484i | ||||
\(944\) | −43.6074 | −1.41930 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.48839 | −0.308494 | ||||||||
\(947\) | −17.3778 | + | 30.0992i | −0.564703 | + | 0.978094i | 0.432374 | + | 0.901694i | \(0.357676\pi\) |
−0.997077 | + | 0.0763999i | \(0.975657\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.944969 | + | 1.63673i | 0.0306750 | + | 0.0531307i | ||||
\(950\) | 23.9901 | + | 41.5521i | 0.778342 | + | 1.34813i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.279308 | + | 0.483775i | −0.00905241 | + | 0.0156792i | ||||
\(953\) | 39.1055 | 1.26675 | 0.633375 | − | 0.773845i | \(-0.281669\pi\) | ||||
0.633375 | + | 0.773845i | \(0.281669\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −46.2569 | −1.49684 | ||||||||
\(956\) | 26.4013 | − | 45.7285i | 0.853880 | − | 1.47896i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.70185 | − | 15.0720i | −0.281144 | − | 0.486955i | ||||
\(959\) | 1.12461 | + | 1.94788i | 0.0363156 | + | 0.0629004i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.0659 | − | 24.3629i | 0.453739 | − | 0.785898i | ||||
\(962\) | −13.3712 | −0.431104 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −22.6464 | −0.729390 | ||||||||
\(965\) | −0.623998 | + | 1.08080i | −0.0200872 | + | 0.0347921i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.84849 | + | 4.93373i | 0.0916014 | + | 0.158658i | 0.908185 | − | 0.418569i | \(-0.137468\pi\) |
−0.816584 | + | 0.577227i | \(0.804135\pi\) | |||||||
\(968\) | −9.03452 | − | 15.6482i | −0.290380 | − | 0.502954i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 59.1397 | − | 102.433i | 1.89886 | − | 3.28892i | ||||
\(971\) | −24.9838 | −0.801768 | −0.400884 | − | 0.916129i | \(-0.631297\pi\) | ||||
−0.400884 | + | 0.916129i | \(0.631297\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.91678 | 0.0614493 | ||||||||
\(974\) | 22.1355 | − | 38.3399i | 0.709268 | − | 1.22849i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 15.3379 | + | 26.5661i | 0.490955 | + | 0.850359i | ||||
\(977\) | −6.73626 | − | 11.6675i | −0.215512 | − | 0.373278i | 0.737919 | − | 0.674890i | \(-0.235809\pi\) |
−0.953431 | + | 0.301612i | \(0.902475\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −29.5121 | + | 51.1165i | −0.943211 | + | 1.63369i | ||||
\(980\) | 88.2788 | 2.81996 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −40.6060 | −1.29579 | ||||||||
\(983\) | −5.61344 | + | 9.72276i | −0.179041 | + | 0.310108i | −0.941552 | − | 0.336867i | \(-0.890633\pi\) |
0.762511 | + | 0.646975i | \(0.223966\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.20487 | − | 5.55100i | −0.102116 | − | 0.176870i | ||||
\(986\) | 6.25030 | + | 10.8258i | 0.199050 | + | 0.344765i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.2274 | + | 33.3028i | −0.611705 | + | 1.05950i | ||||
\(989\) | −6.04515 | −0.192225 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −55.8592 | −1.77443 | −0.887213 | − | 0.461360i | \(-0.847362\pi\) | ||||
−0.887213 | + | 0.461360i | \(0.847362\pi\) | |||||||
\(992\) | 5.08390 | − | 8.80556i | 0.161414 | − | 0.279577i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.48068 | − | 4.29666i | −0.0786823 | − | 0.136282i | ||||
\(995\) | −5.49276 | − | 9.51374i | −0.174132 | − | 0.301606i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.8633 | − | 46.5286i | 0.850769 | − | 1.47358i | −0.0297456 | − | 0.999558i | \(-0.509470\pi\) |
0.880515 | − | 0.474018i | \(-0.157197\pi\) | |||||||
\(998\) | −11.5543 | −0.365745 | ||||||||
\(999\) | 0 | 0 |
(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 | 1161.2.f.c.775.1 | 38 | ||
3.2 | odd | 2 | 387.2.f.c.259.19 | yes | 38 | ||
9.2 | odd | 6 | 3483.2.a.s.1.1 | 19 | |||
9.4 | even | 3 | inner | 1161.2.f.c.388.1 | 38 | ||
9.5 | odd | 6 | 387.2.f.c.130.19 | ✓ | 38 | ||
9.7 | even | 3 | 3483.2.a.r.1.19 | 19 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
387.2.f.c.130.19 | ✓ | 38 | 9.5 | odd | 6 | ||
387.2.f.c.259.19 | yes | 38 | 3.2 | odd | 2 | ||
1161.2.f.c.388.1 | 38 | 9.4 | even | 3 | inner | ||
1161.2.f.c.775.1 | 38 | 1.1 | even | 1 | trivial | ||
3483.2.a.r.1.19 | 19 | 9.7 | even | 3 | |||
3483.2.a.s.1.1 | 19 | 9.2 | odd | 6 |