Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(89,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.r (of order \(6\), degree \(2\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.4 | ||
Root | \(0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1386.89 |
Dual form | 1386.2.r.a.1277.4 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.0340742 | + | 0.0590182i | −0.0152384 | + | 0.0263937i | −0.873544 | − | 0.486745i | \(-0.838184\pi\) |
0.858306 | + | 0.513139i | \(0.171517\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.19067 | − | 1.48356i | −0.827996 | − | 0.560734i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0590182 | + | 0.0340742i | −0.0186632 | + | 0.0107752i | ||||
\(11\) | 0.866025 | − | 0.500000i | 0.261116 | − | 0.150756i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.44949i | 0.679366i | 0.940540 | + | 0.339683i | \(0.110320\pi\) | ||||
−0.940540 | + | 0.339683i | \(0.889680\pi\) | |||||||
\(14\) | −1.15539 | − | 2.38014i | −0.308792 | − | 0.636119i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.817837 | + | 1.41654i | 0.198355 | + | 0.343560i | 0.947995 | − | 0.318285i | \(-0.103107\pi\) |
−0.749640 | + | 0.661845i | \(0.769774\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.28497 | + | 3.62863i | 1.44187 | + | 0.832464i | 0.997975 | − | 0.0636147i | \(-0.0202629\pi\) |
0.443895 | + | 0.896079i | \(0.353596\pi\) | |||||||
\(20\) | −0.0681483 | −0.0152384 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.00000 | 0.213201 | ||||||||
\(23\) | 0.405083 | + | 0.233875i | 0.0844657 | + | 0.0487663i | 0.541638 | − | 0.840612i | \(-0.317804\pi\) |
−0.457172 | + | 0.889378i | \(0.651138\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.49768 | + | 4.32611i | 0.499536 | + | 0.865221i | ||||
\(26\) | −1.22474 | + | 2.12132i | −0.240192 | + | 0.416025i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.189469 | − | 2.63896i | 0.0358062 | − | 0.498716i | ||||
\(29\) | 7.23143i | 1.34284i | 0.741076 | + | 0.671421i | \(0.234316\pi\) | ||||
−0.741076 | + | 0.671421i | \(0.765684\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.201501 | + | 0.116337i | −0.0361906 | + | 0.0208947i | −0.517986 | − | 0.855389i | \(-0.673318\pi\) |
0.481796 | + | 0.876284i | \(0.339985\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.63567i | 0.280516i | ||||||||
\(35\) | 0.162203 | − | 0.0787382i | 0.0274172 | − | 0.0133092i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.74496 | − | 4.75442i | 0.451269 | − | 0.781621i | −0.547196 | − | 0.837004i | \(-0.684305\pi\) |
0.998465 | + | 0.0553835i | \(0.0176381\pi\) | |||||||
\(38\) | 3.62863 | + | 6.28497i | 0.588641 | + | 1.01956i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0590182 | − | 0.0340742i | −0.00933160 | − | 0.00538760i | ||||
\(41\) | 5.38891 | 0.841606 | 0.420803 | − | 0.907152i | \(-0.361748\pi\) | ||||
0.420803 | + | 0.907152i | \(0.361748\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.64100 | 1.47024 | 0.735119 | − | 0.677938i | \(-0.237126\pi\) | ||||
0.735119 | + | 0.677938i | \(0.237126\pi\) | |||||||
\(44\) | 0.866025 | + | 0.500000i | 0.130558 | + | 0.0753778i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.233875 | + | 0.405083i | 0.0344830 | + | 0.0597263i | ||||
\(47\) | −4.31199 | + | 7.46859i | −0.628969 | + | 1.08941i | 0.358791 | + | 0.933418i | \(0.383189\pi\) |
−0.987759 | + | 0.155987i | \(0.950144\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.59808 | + | 6.50000i | 0.371154 | + | 0.928571i | ||||
\(50\) | 4.99536i | 0.706450i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.12132 | + | 1.22474i | −0.294174 | + | 0.169842i | ||||
\(53\) | −7.34278 | + | 4.23936i | −1.00861 | + | 0.582320i | −0.910784 | − | 0.412883i | \(-0.864522\pi\) |
−0.0978246 | + | 0.995204i | \(0.531188\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0681483i | 0.00918912i | ||||||||
\(56\) | 1.48356 | − | 2.19067i | 0.198250 | − | 0.292741i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.61571 | + | 6.26260i | −0.474767 | + | 0.822320i | ||||
\(59\) | 0.439158 | + | 0.760643i | 0.0571734 | + | 0.0990273i | 0.893196 | − | 0.449668i | \(-0.148458\pi\) |
−0.836022 | + | 0.548696i | \(0.815125\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.63223 | − | 4.98382i | −1.10524 | − | 0.638113i | −0.167651 | − | 0.985846i | \(-0.553618\pi\) |
−0.937593 | + | 0.347733i | \(0.886951\pi\) | |||||||
\(62\) | −0.232673 | −0.0295495 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.144564 | − | 0.0834643i | −0.0179310 | − | 0.0103525i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.52993 | + | 2.64991i | 0.186910 | + | 0.323738i | 0.944219 | − | 0.329319i | \(-0.106819\pi\) |
−0.757308 | + | 0.653058i | \(0.773486\pi\) | |||||||
\(68\) | −0.817837 | + | 1.41654i | −0.0991773 | + | 0.171780i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.179841 | + | 0.0129120i | 0.0214951 | + | 0.00154328i | ||||
\(71\) | − | 15.8771i | − | 1.88426i | −0.335245 | − | 0.942131i | \(-0.608819\pi\) | ||
0.335245 | − | 0.942131i | \(-0.391181\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.76696 | − | 3.90691i | 0.792013 | − | 0.457269i | −0.0486577 | − | 0.998816i | \(-0.515494\pi\) |
0.840671 | + | 0.541547i | \(0.182161\pi\) | |||||||
\(74\) | 4.75442 | − | 2.74496i | 0.552690 | − | 0.319095i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.25725i | 0.832464i | ||||||||
\(77\) | −2.63896 | − | 0.189469i | −0.300737 | − | 0.0215920i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.76612 | − | 9.98722i | 0.648740 | − | 1.12365i | −0.334684 | − | 0.942330i | \(-0.608630\pi\) |
0.983424 | − | 0.181320i | \(-0.0580370\pi\) | |||||||
\(80\) | −0.0340742 | − | 0.0590182i | −0.00380961 | − | 0.00659844i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.66693 | + | 2.69445i | 0.515376 | + | 0.297553i | ||||
\(83\) | −17.1270 | −1.87993 | −0.939967 | − | 0.341266i | \(-0.889144\pi\) | ||||
−0.939967 | + | 0.341266i | \(0.889144\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.111469 | −0.0120905 | ||||||||
\(86\) | 8.34935 | + | 4.82050i | 0.900333 | + | 0.519808i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.500000 | + | 0.866025i | 0.0533002 | + | 0.0923186i | ||||
\(89\) | −5.33814 | + | 9.24592i | −0.565841 | + | 0.980066i | 0.431129 | + | 0.902290i | \(0.358115\pi\) |
−0.996971 | + | 0.0777760i | \(0.975218\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.63397 | − | 5.36603i | 0.380944 | − | 0.562512i | ||||
\(92\) | 0.467750i | 0.0487663i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.46859 | + | 4.31199i | −0.770326 | + | 0.444748i | ||||
\(95\) | −0.428310 | + | 0.247285i | −0.0439437 | + | 0.0253709i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.99876i | 1.01522i | 0.861587 | + | 0.507610i | \(0.169471\pi\) | ||||
−0.861587 | + | 0.507610i | \(0.830529\pi\) | |||||||
\(98\) | −1.00000 | + | 6.92820i | −0.101015 | + | 0.699854i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.49768 | + | 4.32611i | −0.249768 | + | 0.432611i | ||||
\(101\) | −1.76028 | − | 3.04889i | −0.175154 | − | 0.303376i | 0.765060 | − | 0.643959i | \(-0.222709\pi\) |
−0.940215 | + | 0.340582i | \(0.889376\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.8471 | + | 7.99465i | 1.36440 | + | 0.787736i | 0.990206 | − | 0.139614i | \(-0.0445862\pi\) |
0.374194 | + | 0.927351i | \(0.377920\pi\) | |||||||
\(104\) | −2.44949 | −0.240192 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.47871 | −0.823525 | ||||||||
\(107\) | 5.25201 | + | 3.03225i | 0.507731 | + | 0.293139i | 0.731901 | − | 0.681412i | \(-0.238634\pi\) |
−0.224169 | + | 0.974550i | \(0.571967\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.00877 | − | 15.6036i | −0.862883 | − | 1.49456i | −0.869134 | − | 0.494577i | \(-0.835323\pi\) |
0.00625046 | − | 0.999980i | \(-0.498010\pi\) | |||||||
\(110\) | −0.0340742 | + | 0.0590182i | −0.00324884 | + | 0.00562716i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.38014 | − | 1.15539i | 0.224902 | − | 0.109175i | ||||
\(113\) | − | 7.05521i | − | 0.663698i | −0.943332 | − | 0.331849i | \(-0.892327\pi\) | ||
0.943332 | − | 0.331849i | \(-0.107673\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0276058 | + | 0.0159382i | −0.00257425 | + | 0.00148624i | ||||
\(116\) | −6.26260 | + | 3.61571i | −0.581468 | + | 0.335711i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.878315i | 0.0808555i | ||||||||
\(119\) | 0.309909 | − | 4.31648i | 0.0284093 | − | 0.395691i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.500000 | − | 0.866025i | 0.0454545 | − | 0.0787296i | ||||
\(122\) | −4.98382 | − | 8.63223i | −0.451214 | − | 0.781526i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.201501 | − | 0.116337i | −0.0180953 | − | 0.0104473i | ||||
\(125\) | −0.681167 | −0.0609254 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.83939 | 0.606898 | 0.303449 | − | 0.952848i | \(-0.401862\pi\) | ||||
0.303449 | + | 0.952848i | \(0.401862\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0834643 | − | 0.144564i | −0.00732031 | − | 0.0126791i | ||||
\(131\) | −0.757359 | + | 1.31178i | −0.0661708 | + | 0.114611i | −0.897213 | − | 0.441599i | \(-0.854412\pi\) |
0.831042 | + | 0.556210i | \(0.187745\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.38499 | − | 17.2733i | −0.727071 | − | 1.49778i | ||||
\(134\) | 3.05986i | 0.264331i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.41654 | + | 0.817837i | −0.121467 | + | 0.0701290i | ||||
\(137\) | −4.27427 | + | 2.46775i | −0.365175 | + | 0.210834i | −0.671349 | − | 0.741142i | \(-0.734285\pi\) |
0.306173 | + | 0.951976i | \(0.400951\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.10583i | 0.0937952i | 0.998900 | + | 0.0468976i | \(0.0149334\pi\) | ||||
−0.998900 | + | 0.0468976i | \(0.985067\pi\) | |||||||
\(140\) | 0.149291 | + | 0.101102i | 0.0126174 | + | 0.00854471i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.93854 | − | 13.7499i | 0.666187 | − | 1.15387i | ||||
\(143\) | 1.22474 | + | 2.12132i | 0.102418 | + | 0.177394i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.426786 | − | 0.246405i | −0.0354426 | − | 0.0204628i | ||||
\(146\) | 7.81382 | 0.646676 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.48993 | 0.451269 | ||||||||
\(149\) | 0.275702 | + | 0.159176i | 0.0225863 | + | 0.0130402i | 0.511251 | − | 0.859432i | \(-0.329182\pi\) |
−0.488664 | + | 0.872472i | \(0.662516\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.76941 | − | 3.06471i | −0.143992 | − | 0.249402i | 0.785004 | − | 0.619491i | \(-0.212661\pi\) |
−0.928997 | + | 0.370088i | \(0.879327\pi\) | |||||||
\(152\) | −3.62863 | + | 6.28497i | −0.294320 | + | 0.509778i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.19067 | − | 1.48356i | −0.176529 | − | 0.119549i | ||||
\(155\) | − | 0.0158563i | − | 0.00127361i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.64589 | + | 3.25966i | −0.450591 | + | 0.260149i | −0.708080 | − | 0.706132i | \(-0.750438\pi\) |
0.257489 | + | 0.966281i | \(0.417105\pi\) | |||||||
\(158\) | 9.98722 | − | 5.76612i | 0.794541 | − | 0.458728i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 0.0681483i | − | 0.00538760i | ||||||
\(161\) | −0.540436 | − | 1.11331i | −0.0425923 | − | 0.0877411i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.553536 | − | 0.958753i | 0.0433563 | − | 0.0750954i | −0.843533 | − | 0.537078i | \(-0.819528\pi\) |
0.886889 | + | 0.461982i | \(0.152862\pi\) | |||||||
\(164\) | 2.69445 | + | 4.66693i | 0.210401 | + | 0.364426i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.8324 | − | 8.56350i | −1.15122 | − | 0.664657i | ||||
\(167\) | −9.93426 | −0.768736 | −0.384368 | − | 0.923180i | \(-0.625581\pi\) | ||||
−0.384368 | + | 0.923180i | \(0.625581\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.00000 | 0.538462 | ||||||||
\(170\) | −0.0965346 | − | 0.0557343i | −0.00740386 | − | 0.00427462i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.82050 | + | 8.34935i | 0.367560 | + | 0.636632i | ||||
\(173\) | −6.61107 | + | 11.4507i | −0.502630 | + | 0.870581i | 0.497365 | + | 0.867541i | \(0.334301\pi\) |
−0.999995 | + | 0.00303994i | \(0.999032\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.946464 | − | 13.1825i | 0.0715459 | − | 0.996506i | ||||
\(176\) | 1.00000i | 0.0753778i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.24592 | + | 5.33814i | −0.693011 | + | 0.400110i | ||||
\(179\) | 9.79227 | − | 5.65357i | 0.731909 | − | 0.422568i | −0.0872113 | − | 0.996190i | \(-0.527796\pi\) |
0.819120 | + | 0.573622i | \(0.194462\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.26670i | 0.614459i | 0.951635 | + | 0.307230i | \(0.0994020\pi\) | ||||
−0.951635 | + | 0.307230i | \(0.900598\pi\) | |||||||
\(182\) | 5.83013 | − | 2.83013i | 0.432158 | − | 0.209783i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.233875 | + | 0.405083i | −0.0172415 | + | 0.0298631i | ||||
\(185\) | 0.187065 | + | 0.324006i | 0.0137533 | + | 0.0238214i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.41654 | + | 0.817837i | 0.103587 | + | 0.0598062i | ||||
\(188\) | −8.62398 | −0.628969 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.494570 | −0.0358799 | ||||||||
\(191\) | 10.3133 | + | 5.95439i | 0.746245 | + | 0.430845i | 0.824335 | − | 0.566102i | \(-0.191549\pi\) |
−0.0780906 | + | 0.996946i | \(0.524882\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.7134 | − | 22.0203i | −0.915132 | − | 1.58506i | −0.806707 | − | 0.590951i | \(-0.798753\pi\) |
−0.108425 | − | 0.994105i | \(-0.534581\pi\) | |||||||
\(194\) | −4.99938 | + | 8.65918i | −0.358934 | + | 0.621693i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.33013 | + | 5.50000i | −0.309295 | + | 0.392857i | ||||
\(197\) | 8.37821i | 0.596923i | 0.954422 | + | 0.298461i | \(0.0964734\pi\) | ||||
−0.954422 | + | 0.298461i | \(0.903527\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.3736 | − | 10.0306i | 1.23158 | − | 0.711053i | 0.264220 | − | 0.964462i | \(-0.414885\pi\) |
0.967359 | + | 0.253410i | \(0.0815521\pi\) | |||||||
\(200\) | −4.32611 | + | 2.49768i | −0.305902 | + | 0.176612i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 3.52056i | − | 0.247706i | ||||||
\(203\) | 10.7283 | − | 15.8417i | 0.752978 | − | 1.11187i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.183622 | + | 0.318043i | −0.0128248 | + | 0.0222131i | ||||
\(206\) | 7.99465 | + | 13.8471i | 0.557014 | + | 0.964776i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.12132 | − | 1.22474i | −0.147087 | − | 0.0849208i | ||||
\(209\) | 7.25725 | 0.501995 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.96399 | 0.204050 | 0.102025 | − | 0.994782i | \(-0.467468\pi\) | ||||
0.102025 | + | 0.994782i | \(0.467468\pi\) | |||||||
\(212\) | −7.34278 | − | 4.23936i | −0.504304 | − | 0.291160i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.03225 | + | 5.25201i | 0.207280 | + | 0.359020i | ||||
\(215\) | −0.328509 | + | 0.568994i | −0.0224041 | + | 0.0388051i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.614014 | + | 0.0440843i | 0.0416820 | + | 0.00299263i | ||||
\(218\) | − | 18.0175i | − | 1.22030i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.0590182 | + | 0.0340742i | −0.00397901 | + | 0.00229728i | ||||
\(221\) | −3.46979 | + | 2.00328i | −0.233403 | + | 0.134755i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.8238i | 0.925709i | 0.886434 | + | 0.462854i | \(0.153175\pi\) | ||||
−0.886434 | + | 0.462854i | \(0.846825\pi\) | |||||||
\(224\) | 2.63896 | + | 0.189469i | 0.176323 | + | 0.0126594i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.52761 | − | 6.10999i | 0.234653 | − | 0.406431i | ||||
\(227\) | −11.1257 | − | 19.2702i | −0.738437 | − | 1.27901i | −0.953199 | − | 0.302345i | \(-0.902231\pi\) |
0.214761 | − | 0.976667i | \(-0.431103\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.3195 | + | 7.11269i | 0.814098 | + | 0.470020i | 0.848377 | − | 0.529393i | \(-0.177580\pi\) |
−0.0342790 | + | 0.999412i | \(0.510913\pi\) | |||||||
\(230\) | −0.0318764 | −0.00210187 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.23143 | −0.474767 | ||||||||
\(233\) | −0.445759 | − | 0.257359i | −0.0292027 | − | 0.0168602i | 0.485328 | − | 0.874332i | \(-0.338700\pi\) |
−0.514530 | + | 0.857472i | \(0.672034\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.293855 | − | 0.508972i | −0.0191690 | − | 0.0332017i | ||||
\(236\) | −0.439158 | + | 0.760643i | −0.0285867 | + | 0.0495137i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.42663 | − | 3.58322i | 0.157295 | − | 0.232266i | ||||
\(239\) | − | 21.8238i | − | 1.41166i | −0.708380 | − | 0.705832i | \(-0.750574\pi\) | ||
0.708380 | − | 0.705832i | \(-0.249426\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.95439 | + | 4.59247i | −0.512387 | + | 0.295827i | −0.733814 | − | 0.679350i | \(-0.762262\pi\) |
0.221427 | + | 0.975177i | \(0.428929\pi\) | |||||||
\(242\) | 0.866025 | − | 0.500000i | 0.0556702 | − | 0.0321412i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 9.96764i | − | 0.638113i | ||||||
\(245\) | −0.472146 | − | 0.0681483i | −0.0301643 | − | 0.00435384i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.88828 | + | 15.3950i | −0.565548 | + | 0.979558i | ||||
\(248\) | −0.116337 | − | 0.201501i | −0.00738738 | − | 0.0127953i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.589908 | − | 0.340583i | −0.0373091 | − | 0.0215404i | ||||
\(251\) | 31.3044 | 1.97592 | 0.987959 | − | 0.154718i | \(-0.0494468\pi\) | ||||
0.987959 | + | 0.154718i | \(0.0494468\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.467750 | 0.0294072 | ||||||||
\(254\) | 5.92309 | + | 3.41970i | 0.371647 | + | 0.214571i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.01033 | + | 3.48200i | −0.125401 | + | 0.217201i | −0.921890 | − | 0.387453i | \(-0.873355\pi\) |
0.796489 | + | 0.604654i | \(0.206688\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.0668 | + | 6.34303i | −0.811931 | + | 0.394137i | ||||
\(260\) | − | 0.166929i | − | 0.0103525i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.31178 | + | 0.757359i | −0.0810423 | + | 0.0467898i | ||||
\(263\) | −11.6746 | + | 6.74032i | −0.719885 | + | 0.415626i | −0.814710 | − | 0.579868i | \(-0.803104\pi\) |
0.0948253 | + | 0.995494i | \(0.469771\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 0.577810i | − | 0.0354946i | ||||||
\(266\) | 1.37502 | − | 19.1516i | 0.0843080 | − | 1.17426i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.52993 | + | 2.64991i | −0.0934552 | + | 0.161869i | ||||
\(269\) | −15.7399 | − | 27.2624i | −0.959681 | − | 1.66222i | −0.723273 | − | 0.690562i | \(-0.757363\pi\) |
−0.236408 | − | 0.971654i | \(-0.575970\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.89157 | − | 2.82415i | −0.297142 | − | 0.171555i | 0.344017 | − | 0.938964i | \(-0.388212\pi\) |
−0.641158 | + | 0.767409i | \(0.721546\pi\) | |||||||
\(272\) | −1.63567 | −0.0991773 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.93550 | −0.298164 | ||||||||
\(275\) | 4.32611 | + | 2.49768i | 0.260874 | + | 0.150616i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.45982 | − | 5.99259i | −0.207881 | − | 0.360060i | 0.743166 | − | 0.669107i | \(-0.233323\pi\) |
−0.951047 | + | 0.309047i | \(0.899990\pi\) | |||||||
\(278\) | −0.552914 | + | 0.957676i | −0.0331616 | + | 0.0574376i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0787382 | + | 0.162203i | 0.00470551 | + | 0.00969346i | ||||
\(281\) | − | 30.4582i | − | 1.81698i | −0.417902 | − | 0.908492i | \(-0.637234\pi\) | ||
0.417902 | − | 0.908492i | \(-0.362766\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.8490 | + | 13.1919i | −1.35823 | + | 0.784175i | −0.989385 | − | 0.145315i | \(-0.953580\pi\) |
−0.368846 | + | 0.929490i | \(0.620247\pi\) | |||||||
\(284\) | 13.7499 | − | 7.93854i | 0.815909 | − | 0.471065i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.44949i | 0.144841i | ||||||||
\(287\) | −11.8053 | − | 7.99479i | −0.696846 | − | 0.471917i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.16228 | − | 12.4054i | 0.421311 | − | 0.729732i | ||||
\(290\) | −0.246405 | − | 0.426786i | −0.0144694 | − | 0.0250617i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.76696 | + | 3.90691i | 0.396007 | + | 0.228634i | ||||
\(293\) | 15.0095 | 0.876862 | 0.438431 | − | 0.898765i | \(-0.355534\pi\) | ||||
0.438431 | + | 0.898765i | \(0.355534\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0598557 | −0.00348494 | ||||||||
\(296\) | 4.75442 | + | 2.74496i | 0.276345 | + | 0.159548i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.159176 | + | 0.275702i | 0.00922084 | + | 0.0159710i | ||||
\(299\) | −0.572874 | + | 0.992248i | −0.0331302 | + | 0.0573832i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −21.1203 | − | 14.3030i | −1.21735 | − | 0.824413i | ||||
\(302\) | − | 3.53882i | − | 0.203636i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.28497 | + | 3.62863i | −0.360467 | + | 0.208116i | ||||
\(305\) | 0.588272 | − | 0.339639i | 0.0336844 | − | 0.0194477i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 15.0711i | − | 0.860151i | −0.902793 | − | 0.430076i | \(-0.858487\pi\) | ||
0.902793 | − | 0.430076i | \(-0.141513\pi\) | |||||||
\(308\) | −1.15539 | − | 2.38014i | −0.0658347 | − | 0.135621i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.00792814 | − | 0.0137319i | 0.000450288 | − | 0.000779922i | ||||
\(311\) | −9.93645 | − | 17.2104i | −0.563445 | − | 0.975915i | −0.997193 | − | 0.0748804i | \(-0.976143\pi\) |
0.433748 | − | 0.901034i | \(-0.357191\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.81257 | − | 4.51059i | −0.441593 | − | 0.254954i | 0.262680 | − | 0.964883i | \(-0.415394\pi\) |
−0.704273 | + | 0.709929i | \(0.748727\pi\) | |||||||
\(314\) | −6.51931 | −0.367906 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.5322 | 0.648740 | ||||||||
\(317\) | 10.2958 | + | 5.94427i | 0.578268 | + | 0.333863i | 0.760445 | − | 0.649403i | \(-0.224981\pi\) |
−0.182177 | + | 0.983266i | \(0.558314\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.61571 | + | 6.26260i | 0.202441 | + | 0.350638i | ||||
\(320\) | 0.0340742 | − | 0.0590182i | 0.00190480 | − | 0.00329922i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0886240 | − | 1.23437i | 0.00493882 | − | 0.0687889i | ||||
\(323\) | 11.8705i | 0.660492i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.5967 | + | 6.11804i | −0.587802 | + | 0.339368i | ||||
\(326\) | 0.958753 | − | 0.553536i | 0.0531004 | − | 0.0306575i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.38891i | 0.297553i | ||||||||
\(329\) | 20.5263 | − | 9.96410i | 1.13165 | − | 0.549339i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.5175 | + | 19.9489i | −0.633061 | + | 1.09649i | 0.353862 | + | 0.935298i | \(0.384868\pi\) |
−0.986922 | + | 0.161196i | \(0.948465\pi\) | |||||||
\(332\) | −8.56350 | − | 14.8324i | −0.469983 | − | 0.814035i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.60332 | − | 4.96713i | −0.470753 | − | 0.271789i | ||||
\(335\) | −0.208524 | −0.0113929 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.8191 | −1.13409 | −0.567045 | − | 0.823687i | \(-0.691914\pi\) | ||||
−0.567045 | + | 0.823687i | \(0.691914\pi\) | |||||||
\(338\) | 6.06218 | + | 3.50000i | 0.329739 | + | 0.190375i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0557343 | − | 0.0965346i | −0.00302261 | − | 0.00523532i | ||||
\(341\) | −0.116337 | + | 0.201501i | −0.00629998 | + | 0.0109119i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.95164 | − | 18.0938i | 0.213368 | − | 0.976972i | ||||
\(344\) | 9.64100i | 0.519808i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.4507 | + | 6.61107i | −0.615594 | + | 0.355413i | ||||
\(347\) | −6.30751 | + | 3.64165i | −0.338605 | + | 0.195494i | −0.659655 | − | 0.751569i | \(-0.729298\pi\) |
0.321050 | + | 0.947062i | \(0.395964\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 33.7366i | 1.80588i | 0.429767 | + | 0.902940i | \(0.358596\pi\) | ||||
−0.429767 | + | 0.902940i | \(0.641404\pi\) | |||||||
\(350\) | 7.41093 | − | 10.9432i | 0.396131 | − | 0.584938i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.500000 | + | 0.866025i | −0.0266501 | + | 0.0461593i | ||||
\(353\) | −8.71467 | − | 15.0943i | −0.463835 | − | 0.803386i | 0.535313 | − | 0.844654i | \(-0.320194\pi\) |
−0.999148 | + | 0.0412678i | \(0.986860\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.937036 | + | 0.540998i | 0.0497327 | + | 0.0287132i | ||||
\(356\) | −10.6763 | −0.565841 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.3071 | 0.597601 | ||||||||
\(359\) | 22.6722 | + | 13.0898i | 1.19659 | + | 0.690852i | 0.959794 | − | 0.280707i | \(-0.0905688\pi\) |
0.236798 | + | 0.971559i | \(0.423902\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.8339 | + | 29.1571i | 0.885992 | + | 1.53458i | ||||
\(362\) | −4.13335 | + | 7.15918i | −0.217244 | + | 0.376278i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.46410 | + | 0.464102i | 0.338811 | + | 0.0243255i | ||||
\(365\) | 0.532499i | 0.0278723i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.91510 | − | 5.72449i | 0.517564 | − | 0.298816i | −0.218373 | − | 0.975865i | \(-0.570075\pi\) |
0.735937 | + | 0.677050i | \(0.236742\pi\) | |||||||
\(368\) | −0.405083 | + | 0.233875i | −0.0211164 | + | 0.0121916i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.374129i | 0.0194501i | ||||||||
\(371\) | 22.3750 | + | 1.60645i | 1.16165 | + | 0.0834028i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.1189 | − | 24.4546i | 0.731048 | − | 1.26621i | −0.225388 | − | 0.974269i | \(-0.572365\pi\) |
0.956436 | − | 0.291943i | \(-0.0943016\pi\) | |||||||
\(374\) | 0.817837 | + | 1.41654i | 0.0422894 | + | 0.0732473i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.46859 | − | 4.31199i | −0.385163 | − | 0.222374i | ||||
\(377\) | −17.7133 | −0.912282 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.93550 | 0.510352 | 0.255176 | − | 0.966895i | \(-0.417867\pi\) | ||||
0.255176 | + | 0.966895i | \(0.417867\pi\) | |||||||
\(380\) | −0.428310 | − | 0.247285i | −0.0219718 | − | 0.0126854i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.95439 | + | 10.3133i | 0.304653 | + | 0.527675i | ||||
\(383\) | 6.97381 | − | 12.0790i | 0.356345 | − | 0.617208i | −0.631002 | − | 0.775781i | \(-0.717356\pi\) |
0.987347 | + | 0.158573i | \(0.0506894\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.101102 | − | 0.149291i | 0.00515266 | − | 0.00760855i | ||||
\(386\) | − | 25.4269i | − | 1.29419i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.65918 | + | 4.99938i | −0.439603 | + | 0.253805i | ||||
\(389\) | −1.53141 | + | 0.884161i | −0.0776457 | + | 0.0448288i | −0.538320 | − | 0.842740i | \(-0.680941\pi\) |
0.460674 | + | 0.887569i | \(0.347608\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.765087i | 0.0386921i | ||||||||
\(392\) | −6.50000 | + | 2.59808i | −0.328300 | + | 0.131223i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.18910 | + | 7.25574i | −0.211044 | + | 0.365539i | ||||
\(395\) | 0.392952 | + | 0.680613i | 0.0197716 | + | 0.0342453i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.04114 | − | 0.601102i | −0.0522533 | − | 0.0301685i | 0.473646 | − | 0.880715i | \(-0.342938\pi\) |
−0.525899 | + | 0.850547i | \(0.676271\pi\) | |||||||
\(398\) | 20.0613 | 1.00558 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.99536 | −0.249768 | ||||||||
\(401\) | 15.4934 | + | 8.94510i | 0.773702 | + | 0.446697i | 0.834194 | − | 0.551472i | \(-0.185933\pi\) |
−0.0604915 | + | 0.998169i | \(0.519267\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.284965 | − | 0.493574i | −0.0141951 | − | 0.0245867i | ||||
\(404\) | 1.76028 | − | 3.04889i | 0.0875771 | − | 0.151688i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.2118 | − | 8.35515i | 0.854208 | − | 0.414659i | ||||
\(407\) | − | 5.48993i | − | 0.272126i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.35436 | + | 0.781939i | −0.0669687 | + | 0.0386644i | −0.533110 | − | 0.846046i | \(-0.678977\pi\) |
0.466142 | + | 0.884710i | \(0.345644\pi\) | |||||||
\(410\) | −0.318043 | + | 0.183622i | −0.0157070 | + | 0.00906847i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 15.9893i | 0.787736i | ||||||||
\(413\) | 0.166413 | − | 2.31784i | 0.00818866 | − | 0.114053i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.583589 | − | 1.01081i | 0.0286472 | − | 0.0496185i | ||||
\(416\) | −1.22474 | − | 2.12132i | −0.0600481 | − | 0.104006i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.28497 | + | 3.62863i | 0.307408 | + | 0.177482i | ||||
\(419\) | −4.99020 | −0.243787 | −0.121894 | − | 0.992543i | \(-0.538897\pi\) | ||||
−0.121894 | + | 0.992543i | \(0.538897\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −37.0235 | −1.80441 | −0.902207 | − | 0.431302i | \(-0.858054\pi\) | ||||
−0.902207 | + | 0.431302i | \(0.858054\pi\) | |||||||
\(422\) | 2.56689 | + | 1.48200i | 0.124954 | + | 0.0721425i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.23936 | − | 7.34278i | −0.205881 | − | 0.356597i | ||||
\(425\) | −4.08539 | + | 7.07610i | −0.198170 | + | 0.343241i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.5166 | + | 23.7244i | 0.557325 | + | 1.14810i | ||||
\(428\) | 6.06450i | 0.293139i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.568994 | + | 0.328509i | −0.0274393 | + | 0.0158421i | ||||
\(431\) | −11.4567 | + | 6.61453i | −0.551850 | + | 0.318611i | −0.749868 | − | 0.661588i | \(-0.769883\pi\) |
0.198018 | + | 0.980198i | \(0.436550\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 12.5794i | − | 0.604527i | −0.953224 | − | 0.302263i | \(-0.902258\pi\) | ||
0.953224 | − | 0.302263i | \(-0.0977422\pi\) | |||||||
\(434\) | 0.509710 | + | 0.345185i | 0.0244669 | + | 0.0165694i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.00877 | − | 15.6036i | 0.431442 | − | 0.747279i | ||||
\(437\) | 1.69729 | + | 2.93979i | 0.0811924 | + | 0.140629i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.2358 | − | 8.79639i | −0.727165 | − | 0.419829i | 0.0902191 | − | 0.995922i | \(-0.471243\pi\) |
−0.817384 | + | 0.576093i | \(0.804577\pi\) | |||||||
\(440\) | −0.0681483 | −0.00324884 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.00657 | −0.190573 | ||||||||
\(443\) | 23.4746 | + | 13.5531i | 1.11531 | + | 0.643926i | 0.940200 | − | 0.340623i | \(-0.110638\pi\) |
0.175112 | + | 0.984549i | \(0.443971\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.363785 | − | 0.630094i | −0.0172451 | − | 0.0298693i | ||||
\(446\) | −6.91189 | + | 11.9717i | −0.327288 | + | 0.566879i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.19067 | + | 1.48356i | 0.103499 | + | 0.0700918i | ||||
\(449\) | 14.9950i | 0.707658i | 0.935310 | + | 0.353829i | \(0.115121\pi\) | ||||
−0.935310 | + | 0.353829i | \(0.884879\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.66693 | − | 2.69445i | 0.219757 | − | 0.126877i | ||||
\(452\) | 6.10999 | − | 3.52761i | 0.287390 | − | 0.165925i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 22.2514i | − | 1.04431i | ||||||
\(455\) | 0.192868 | + | 0.397314i | 0.00904181 | + | 0.0186263i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.475430 | − | 0.823468i | 0.0222397 | − | 0.0385202i | −0.854691 | − | 0.519136i | \(-0.826254\pi\) |
0.876931 | + | 0.480616i | \(0.159587\pi\) | |||||||
\(458\) | 7.11269 | + | 12.3195i | 0.332354 | + | 0.575654i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0276058 | − | 0.0159382i | −0.00128713 | − | 0.000743122i | ||||
\(461\) | −17.7698 | −0.827621 | −0.413810 | − | 0.910363i | \(-0.635802\pi\) | ||||
−0.413810 | + | 0.910363i | \(0.635802\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.21592 | 0.0565088 | 0.0282544 | − | 0.999601i | \(-0.491005\pi\) | ||||
0.0282544 | + | 0.999601i | \(0.491005\pi\) | |||||||
\(464\) | −6.26260 | − | 3.61571i | −0.290734 | − | 0.167855i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.257359 | − | 0.445759i | −0.0119219 | − | 0.0206494i | ||||
\(467\) | 4.45982 | − | 7.72464i | 0.206376 | − | 0.357454i | −0.744194 | − | 0.667963i | \(-0.767166\pi\) |
0.950570 | + | 0.310510i | \(0.100500\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.579747 | − | 8.07483i | 0.0267702 | − | 0.372861i | ||||
\(470\) | − | 0.587710i | − | 0.0271090i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.760643 | + | 0.439158i | −0.0350114 | + | 0.0202139i | ||||
\(473\) | 8.34935 | − | 4.82050i | 0.383903 | − | 0.221647i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 36.2526i | 1.66338i | ||||||||
\(476\) | 3.89313 | − | 1.88985i | 0.178441 | − | 0.0866211i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.9119 | − | 18.9000i | 0.499098 | − | 0.864464i | ||||
\(479\) | −10.3161 | − | 17.8680i | −0.471355 | − | 0.816411i | 0.528108 | − | 0.849177i | \(-0.322902\pi\) |
−0.999463 | + | 0.0327661i | \(0.989568\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.6459 | + | 6.72376i | 0.531007 | + | 0.306577i | ||||
\(482\) | −9.18494 | −0.418363 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | 0.0454545 | ||||||||
\(485\) | −0.590109 | − | 0.340699i | −0.0267954 | − | 0.0154704i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.0189644 | − | 0.0328473i | −0.000859360 | − | 0.00148845i | 0.865595 | − | 0.500744i | \(-0.166940\pi\) |
−0.866455 | + | 0.499256i | \(0.833607\pi\) | |||||||
\(488\) | 4.98382 | − | 8.63223i | 0.225607 | − | 0.390763i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.374816 | − | 0.295091i | −0.0169325 | − | 0.0133309i | ||||
\(491\) | − | 34.6919i | − | 1.56562i | −0.622258 | − | 0.782812i | \(-0.713785\pi\) | ||
0.622258 | − | 0.782812i | \(-0.286215\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.2436 | + | 5.91413i | −0.461347 | + | 0.266359i | ||||
\(494\) | −15.3950 | + | 8.88828i | −0.692652 | + | 0.399903i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 0.232673i | − | 0.0104473i | ||||||
\(497\) | −23.5546 | + | 34.7814i | −1.05657 | + | 1.56016i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.2268 | − | 17.7133i | 0.457814 | − | 0.792957i | −0.541031 | − | 0.841002i | \(-0.681966\pi\) |
0.998845 | + | 0.0480457i | \(0.0152993\pi\) | |||||||
\(500\) | −0.340583 | − | 0.589908i | −0.0152314 | − | 0.0263815i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 27.1104 | + | 15.6522i | 1.21000 | + | 0.698592i | ||||
\(503\) | 31.4660 | 1.40300 | 0.701501 | − | 0.712669i | \(-0.252514\pi\) | ||||
0.701501 | + | 0.712669i | \(0.252514\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.239920 | 0.0106763 | ||||||||
\(506\) | 0.405083 | + | 0.233875i | 0.0180082 | + | 0.0103970i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.41970 | + | 5.92309i | 0.151724 | + | 0.262794i | ||||
\(509\) | 4.97798 | − | 8.62211i | 0.220645 | − | 0.382168i | −0.734359 | − | 0.678761i | \(-0.762517\pi\) |
0.955004 | + | 0.296593i | \(0.0958505\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.6203 | − | 1.48047i | −0.912190 | − | 0.0654923i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.48200 | + | 2.01033i | −0.153584 | + | 0.0886720i | ||||
\(515\) | −0.943660 | + | 0.544822i | −0.0415826 | + | 0.0240077i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.62398i | 0.379282i | ||||||||
\(518\) | −14.4877 | − | 1.04017i | −0.636552 | − | 0.0457024i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0834643 | − | 0.144564i | 0.00366015 | − | 0.00633957i | ||||
\(521\) | 20.4947 | + | 35.4979i | 0.897891 | + | 1.55519i | 0.830186 | + | 0.557487i | \(0.188234\pi\) |
0.0677047 | + | 0.997705i | \(0.478432\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.0347 | + | 18.4952i | 1.40078 | + | 0.808741i | 0.994473 | − | 0.104996i | \(-0.0334829\pi\) |
0.406307 | + | 0.913736i | \(0.366816\pi\) | |||||||
\(524\) | −1.51472 | −0.0661708 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.4806 | −0.587784 | ||||||||
\(527\) | −0.329590 | − | 0.190289i | −0.0143571 | − | 0.00828910i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.3906 | − | 19.7291i | −0.495244 | − | 0.857787i | ||||
\(530\) | 0.288905 | − | 0.500398i | 0.0125492 | − | 0.0217359i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.7666 | − | 15.8983i | 0.466791 | − | 0.689277i | ||||
\(533\) | 13.2001i | 0.571758i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.357916 | + | 0.206643i | −0.0154741 | + | 0.00893395i | ||||
\(536\) | −2.64991 | + | 1.52993i | −0.114459 | + | 0.0660828i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 31.4799i | − | 1.35719i | ||||||
\(539\) | 5.50000 | + | 4.33013i | 0.236902 | + | 0.186512i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.7301 | − | 30.7095i | 0.762277 | − | 1.32030i | −0.179397 | − | 0.983777i | \(-0.557415\pi\) |
0.941674 | − | 0.336526i | \(-0.109252\pi\) | |||||||
\(542\) | −2.82415 | − | 4.89157i | −0.121308 | − | 0.210111i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.41654 | − | 0.817837i | −0.0607335 | − | 0.0350645i | ||||
\(545\) | 1.22786 | 0.0525960 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.2066 | 1.41981 | 0.709907 | − | 0.704296i | \(-0.248737\pi\) | ||||
0.709907 | + | 0.704296i | \(0.248737\pi\) | |||||||
\(548\) | −4.27427 | − | 2.46775i | −0.182588 | − | 0.105417i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.49768 | + | 4.32611i | 0.106501 | + | 0.184466i | ||||
\(551\) | −26.2402 | + | 45.4493i | −1.11787 | + | 1.93620i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.4484 | + | 13.3243i | −1.16722 | + | 0.566607i | ||||
\(554\) | − | 6.91964i | − | 0.293987i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.957676 | + | 0.552914i | −0.0406145 | + | 0.0234488i | ||||
\(557\) | −1.95592 | + | 1.12925i | −0.0828748 | + | 0.0478478i | −0.540865 | − | 0.841110i | \(-0.681903\pi\) |
0.457990 | + | 0.888957i | \(0.348570\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 23.6155i | 0.998830i | ||||||||
\(560\) | −0.0129120 | + | 0.179841i | −0.000545631 | + | 0.00759965i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.2291 | − | 26.3776i | 0.642401 | − | 1.11267i | ||||
\(563\) | −4.02066 | − | 6.96399i | −0.169451 | − | 0.293497i | 0.768776 | − | 0.639518i | \(-0.220866\pi\) |
−0.938227 | + | 0.346021i | \(0.887533\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.416386 | + | 0.240401i | 0.0175175 | + | 0.0101137i | ||||
\(566\) | −26.3837 | −1.10899 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 15.8771 | 0.666187 | ||||||||
\(569\) | 15.6841 | + | 9.05521i | 0.657511 | + | 0.379614i | 0.791328 | − | 0.611392i | \(-0.209390\pi\) |
−0.133817 | + | 0.991006i | \(0.542723\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.15006 | − | 12.3843i | −0.299221 | − | 0.518266i | 0.676737 | − | 0.736225i | \(-0.263393\pi\) |
−0.975958 | + | 0.217959i | \(0.930060\pi\) | |||||||
\(572\) | −1.22474 | + | 2.12132i | −0.0512092 | + | 0.0886969i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.22631 | − | 12.8263i | −0.259881 | − | 0.535361i | ||||
\(575\) | 2.33658i | 0.0974420i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.3960 | + | 15.8171i | −1.14051 | + | 0.658475i | −0.946557 | − | 0.322536i | \(-0.895465\pi\) |
−0.193955 | + | 0.981011i | \(0.562131\pi\) | |||||||
\(578\) | 12.4054 | − | 7.16228i | 0.515998 | − | 0.297912i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 0.492810i | − | 0.0204628i | ||||||
\(581\) | 37.5196 | + | 25.4090i | 1.55658 | + | 1.05414i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.23936 | + | 7.34278i | −0.175576 | + | 0.304107i | ||||
\(584\) | 3.90691 | + | 6.76696i | 0.161669 | + | 0.280019i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.9986 | + | 7.50473i | 0.536966 | + | 0.310017i | ||||
\(587\) | −25.9909 | −1.07276 | −0.536381 | − | 0.843976i | \(-0.680209\pi\) | ||||
−0.536381 | + | 0.843976i | \(0.680209\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.68857 | −0.0695762 | ||||||||
\(590\) | −0.0518366 | − | 0.0299279i | −0.00213408 | − | 0.00123211i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.74496 | + | 4.75442i | 0.112817 | + | 0.195405i | ||||
\(593\) | −15.0260 | + | 26.0258i | −0.617043 | + | 1.06875i | 0.372979 | + | 0.927840i | \(0.378336\pi\) |
−0.990022 | + | 0.140911i | \(0.954997\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.244191 | + | 0.165371i | 0.0100108 | + | 0.00677954i | ||||
\(596\) | 0.318353i | 0.0130402i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.992248 | + | 0.572874i | −0.0405760 | + | 0.0234266i | ||||
\(599\) | 8.18991 | − | 4.72844i | 0.334631 | − | 0.193199i | −0.323265 | − | 0.946309i | \(-0.604780\pi\) |
0.657895 | + | 0.753110i | \(0.271447\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.30182i | 0.0938931i | 0.998897 | + | 0.0469465i | \(0.0149490\pi\) | ||||
−0.998897 | + | 0.0469465i | \(0.985051\pi\) | |||||||
\(602\) | −11.1392 | − | 22.9469i | −0.453998 | − | 0.935247i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.76941 | − | 3.06471i | 0.0719962 | − | 0.124701i | ||||
\(605\) | 0.0340742 | + | 0.0590182i | 0.00138531 | + | 0.00239943i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.13710 | − | 1.81121i | −0.127331 | − | 0.0735145i | 0.434982 | − | 0.900439i | \(-0.356755\pi\) |
−0.562313 | + | 0.826925i | \(0.690088\pi\) | |||||||
\(608\) | −7.25725 | −0.294320 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.679278 | 0.0275032 | ||||||||
\(611\) | −18.2942 | − | 10.5622i | −0.740105 | − | 0.427300i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.97209 | + | 8.61192i | 0.200821 | + | 0.347832i | 0.948793 | − | 0.315898i | \(-0.102306\pi\) |
−0.747972 | + | 0.663730i | \(0.768972\pi\) | |||||||
\(614\) | 7.53553 | − | 13.0519i | 0.304109 | − | 0.526733i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.189469 | − | 2.63896i | 0.00763391 | − | 0.106327i | ||||
\(617\) | 5.20936i | 0.209721i | 0.994487 | + | 0.104860i | \(0.0334396\pi\) | ||||
−0.994487 | + | 0.104860i | \(0.966560\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.6324 | − | 6.13859i | 0.427350 | − | 0.246731i | −0.270867 | − | 0.962617i | \(-0.587310\pi\) |
0.698217 | + | 0.715886i | \(0.253977\pi\) | |||||||
\(620\) | 0.0137319 | − | 0.00792814i | 0.000551488 | − | 0.000318402i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 19.8729i | − | 0.796831i | ||||||
\(623\) | 25.4110 | − | 12.3353i | 1.01807 | − | 0.494204i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.4652 | + | 21.5903i | −0.498607 | + | 0.863613i | ||||
\(626\) | −4.51059 | − | 7.81257i | −0.180279 | − | 0.312253i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.64589 | − | 3.25966i | −0.225296 | − | 0.130074i | ||||
\(629\) | 8.97973 | 0.358045 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.18708 | 0.0472568 | 0.0236284 | − | 0.999721i | \(-0.492478\pi\) | ||||
0.0236284 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(632\) | 9.98722 | + | 5.76612i | 0.397270 | + | 0.229364i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.94427 | + | 10.2958i | 0.236077 | + | 0.408897i | ||||
\(635\) | −0.233047 | + | 0.403649i | −0.00924817 | + | 0.0160183i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.9217 | + | 6.36396i | −0.630840 | + | 0.252149i | ||||
\(638\) | 7.23143i | 0.286295i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.0590182 | − | 0.0340742i | 0.00233290 | − | 0.00134690i | ||||
\(641\) | −32.2791 | + | 18.6364i | −1.27495 | + | 0.736092i | −0.975915 | − | 0.218151i | \(-0.929997\pi\) |
−0.299033 | + | 0.954243i | \(0.596664\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.75684i | 0.108719i | 0.998521 | + | 0.0543597i | \(0.0173117\pi\) | ||||
−0.998521 | + | 0.0543597i | \(0.982688\pi\) | |||||||
\(644\) | 0.693937 | − | 1.02469i | 0.0273450 | − | 0.0403783i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.93525 | + | 10.2802i | −0.233519 | + | 0.404467i | ||||
\(647\) | −15.2508 | − | 26.4151i | −0.599570 | − | 1.03849i | −0.992884 | − | 0.119081i | \(-0.962005\pi\) |
0.393315 | − | 0.919404i | \(-0.371328\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.760643 | + | 0.439158i | 0.0298579 | + | 0.0172384i | ||||
\(650\) | −12.2361 | −0.479938 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.10707 | 0.0433563 | ||||||||
\(653\) | 9.77473 | + | 5.64344i | 0.382515 | + | 0.220845i | 0.678912 | − | 0.734220i | \(-0.262452\pi\) |
−0.296397 | + | 0.955065i | \(0.595785\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0516128 | − | 0.0893960i | −0.00201668 | − | 0.00349299i | ||||
\(656\) | −2.69445 | + | 4.66693i | −0.105201 | + | 0.182213i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.7583 | + | 1.63397i | 0.887212 | + | 0.0636990i | ||||
\(659\) | − | 10.2338i | − | 0.398652i | −0.979933 | − | 0.199326i | \(-0.936125\pi\) | ||
0.979933 | − | 0.199326i | \(-0.0638753\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.6739 | + | 11.3587i | −0.765226 | + | 0.441803i | −0.831169 | − | 0.556020i | \(-0.812328\pi\) |
0.0659431 | + | 0.997823i | \(0.478994\pi\) | |||||||
\(662\) | −19.9489 | + | 11.5175i | −0.775338 | + | 0.447642i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 17.1270i | − | 0.664657i | ||||||
\(665\) | 1.30515 | + | 0.0937055i | 0.0506115 | + | 0.00363374i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.69125 | + | 2.92933i | −0.0654855 | + | 0.113424i | ||||
\(668\) | −4.96713 | − | 8.60332i | −0.192184 | − | 0.332872i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.180587 | − | 0.104262i | −0.00697669 | − | 0.00402799i | ||||
\(671\) | −9.96764 | −0.384797 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −28.2268 | −1.08806 | −0.544031 | − | 0.839065i | \(-0.683103\pi\) | ||||
−0.544031 | + | 0.839065i | \(0.683103\pi\) | |||||||
\(674\) | −18.0299 | − | 10.4096i | −0.694486 | − | 0.400962i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.50000 | + | 6.06218i | 0.134615 | + | 0.233161i | ||||
\(677\) | −8.40665 | + | 14.5607i | −0.323094 | + | 0.559615i | −0.981125 | − | 0.193376i | \(-0.938056\pi\) |
0.658031 | + | 0.752991i | \(0.271390\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.8338 | − | 21.9040i | 0.569269 | − | 0.840598i | ||||
\(680\) | − | 0.111469i | − | 0.00427462i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.201501 | + | 0.116337i | −0.00771586 | + | 0.00445476i | ||||
\(683\) | −17.9178 | + | 10.3448i | −0.685604 | + | 0.395834i | −0.801963 | − | 0.597374i | \(-0.796211\pi\) |
0.116359 | + | 0.993207i | \(0.462878\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 0.336346i | − | 0.0128511i | ||||||
\(686\) | 12.4691 | − | 13.6938i | 0.476073 | − | 0.522834i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.82050 | + | 8.34935i | −0.183780 | + | 0.318316i | ||||
\(689\) | −10.3843 | − | 17.9861i | −0.395609 | − | 0.685215i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 40.3537 | + | 23.2982i | 1.53513 | + | 0.886306i | 0.999114 | + | 0.0420972i | \(0.0134039\pi\) |
0.536014 | + | 0.844209i | \(0.319929\pi\) | |||||||
\(692\) | −13.2221 | −0.502630 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.28329 | −0.276470 | ||||||||
\(695\) | −0.0652640 | − | 0.0376802i | −0.00247561 | − | 0.00142929i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.40725 | + | 7.63358i | 0.166936 | + | 0.289142i | ||||
\(698\) | −16.8683 | + | 29.2168i | −0.638475 | + | 1.10587i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 11.8896 | − | 5.77161i | 0.449386 | − | 0.218146i | ||||
\(701\) | 25.8612i | 0.976765i | 0.872630 | + | 0.488382i | \(0.162413\pi\) | ||||
−0.872630 | + | 0.488382i | \(0.837587\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 34.5040 | − | 19.9209i | 1.30134 | − | 0.751331i | ||||
\(704\) | −0.866025 | + | 0.500000i | −0.0326396 | + | 0.0188445i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 17.4293i | − | 0.655962i | ||||||
\(707\) | −0.667035 | + | 9.29061i | −0.0250864 | + | 0.349409i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.3750 | + | 17.9700i | −0.389641 | + | 0.674878i | −0.992401 | − | 0.123044i | \(-0.960734\pi\) |
0.602760 | + | 0.797923i | \(0.294068\pi\) | |||||||
\(710\) | 0.540998 | + | 0.937036i | 0.0203033 | + | 0.0351663i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.24592 | − | 5.33814i | −0.346506 | − | 0.200055i | ||||
\(713\) | −0.108833 | −0.00407582 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.166929 | −0.00624278 | ||||||||
\(716\) | 9.79227 | + | 5.65357i | 0.365954 | + | 0.211284i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 13.0898 | + | 22.6722i | 0.488506 | + | 0.846118i | ||||
\(719\) | −12.4722 | + | 21.6025i | −0.465136 | + | 0.805639i | −0.999208 | − | 0.0398001i | \(-0.987328\pi\) |
0.534072 | + | 0.845439i | \(0.320661\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.4740 | − | 38.0568i | −0.688006 | − | 1.41731i | ||||
\(722\) | 33.6677i | 1.25298i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.15918 | + | 4.13335i | −0.266069 | + | 0.153615i | ||||
\(725\) | −31.2839 | + | 18.0618i | −1.16186 | + | 0.670798i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 19.4534i | − | 0.721487i | −0.932665 | − | 0.360743i | \(-0.882523\pi\) | ||
0.932665 | − | 0.360743i | \(-0.117477\pi\) | |||||||
\(728\) | 5.36603 | + | 3.63397i | 0.198878 | + | 0.134684i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.266249 | + | 0.461157i | −0.00985433 | + | 0.0170682i | ||||
\(731\) | 7.88477 | + | 13.6568i | 0.291629 | + | 0.505116i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.02326 | + | 1.16813i | 0.0747309 | + | 0.0431459i | 0.536900 | − | 0.843646i | \(-0.319595\pi\) |
−0.462169 | + | 0.886792i | \(0.652929\pi\) | |||||||
\(734\) | 11.4490 | 0.422589 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.467750 | −0.0172415 | ||||||||
\(737\) | 2.64991 | + | 1.52993i | 0.0976108 | + | 0.0563556i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.2066 | − | 31.5348i | −0.669742 | − | 1.16003i | −0.977976 | − | 0.208717i | \(-0.933071\pi\) |
0.308234 | − | 0.951310i | \(-0.400262\pi\) | |||||||
\(740\) | −0.187065 | + | 0.324006i | −0.00687663 | + | 0.0119107i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 18.5741 | + | 12.5787i | 0.681876 | + | 0.461779i | ||||
\(743\) | 52.1166i | 1.91197i | 0.293409 | + | 0.955987i | \(0.405210\pi\) | ||||
−0.293409 | + | 0.955987i | \(0.594790\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.0187886 | + | 0.0108476i | −0.000688361 | + | 0.000397425i | ||||
\(746\) | 24.4546 | − | 14.1189i | 0.895347 | − | 0.516929i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.63567i | 0.0598062i | ||||||||
\(749\) | −7.00689 | − | 14.4344i | −0.256026 | − | 0.527420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.88661 | − | 8.46385i | 0.178315 | − | 0.308850i | −0.762989 | − | 0.646412i | \(-0.776269\pi\) |
0.941303 | + | 0.337562i | \(0.109602\pi\) | |||||||
\(752\) | −4.31199 | − | 7.46859i | −0.157242 | − | 0.272351i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.3402 | − | 8.85666i | −0.558656 | − | 0.322540i | ||||
\(755\) | 0.241165 | 0.00877688 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.6251 | 1.00405 | 0.502026 | − | 0.864852i | \(-0.332588\pi\) | ||||
0.502026 | + | 0.864852i | \(0.332588\pi\) | |||||||
\(758\) | 8.60440 | + | 4.96775i | 0.312526 | + | 0.180437i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.247285 | − | 0.428310i | −0.00896997 | − | 0.0155364i | ||||
\(761\) | −10.0318 | + | 17.3755i | −0.363651 | + | 0.629863i | −0.988559 | − | 0.150836i | \(-0.951803\pi\) |
0.624907 | + | 0.780699i | \(0.285137\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.41376 | + | 47.5475i | −0.123586 | + | 1.72134i | ||||
\(764\) | 11.9088i | 0.430845i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.0790 | − | 6.97381i | 0.436432 | − | 0.251974i | ||||
\(767\) | −1.86319 | + | 1.07571i | −0.0672758 | + | 0.0388417i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 31.4568i | − | 1.13436i | −0.823593 | − | 0.567181i | \(-0.808034\pi\) | ||
0.823593 | − | 0.567181i | \(-0.191966\pi\) | |||||||
\(770\) | 0.162203 | − | 0.0787382i | 0.00584537 | − | 0.00283753i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 12.7134 | − | 22.0203i | 0.457566 | − | 0.792528i | ||||
\(773\) | 3.56548 | + | 6.17559i | 0.128241 | + | 0.222121i | 0.922995 | − | 0.384811i | \(-0.125733\pi\) |
−0.794754 | + | 0.606932i | \(0.792400\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.00657 | − | 0.581142i | −0.0361570 | − | 0.0208752i | ||||
\(776\) | −9.99876 | −0.358934 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.76832 | −0.0633974 | ||||||||
\(779\) | 33.8691 | + | 19.5543i | 1.21349 | + | 0.700606i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.93854 | − | 13.7499i | −0.284063 | − | 0.492012i | ||||
\(782\) | −0.382543 | + | 0.662585i | −0.0136797 | + | 0.0236940i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.92820 | − | 1.00000i | −0.247436 | − | 0.0357143i | ||||
\(785\) | − | 0.444280i | − | 0.0158570i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.7613 | − | 11.9865i | 0.740061 | − | 0.427274i | −0.0820306 | − | 0.996630i | \(-0.526141\pi\) |
0.822091 | + | 0.569356i | \(0.192807\pi\) | |||||||
\(788\) | −7.25574 | + | 4.18910i | −0.258475 | + | 0.149231i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.785904i | 0.0279612i | ||||||||
\(791\) | −10.4669 | + | 15.4556i | −0.372159 | + | 0.549539i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.2078 | − | 21.1446i | 0.433512 | − | 0.750866i | ||||
\(794\) | −0.601102 | − | 1.04114i | −0.0213323 | − | 0.0369487i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.3736 | + | 10.0306i | 0.615790 | + | 0.355526i | ||||
\(797\) | 7.65551 | 0.271172 | 0.135586 | − | 0.990766i | \(-0.456708\pi\) | ||||
0.135586 | + | 0.990766i | \(0.456708\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.1060 | −0.499035 | ||||||||
\(800\) | −4.32611 | − | 2.49768i | −0.152951 | − | 0.0883062i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.94510 | + | 15.4934i | 0.315863 | + | 0.547090i | ||||
\(803\) | 3.90691 | − | 6.76696i | 0.137872 | − | 0.238801i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0841205 | + | 0.00603958i | 0.00296486 | + | 0.000212867i | ||||
\(806\) | − | 0.569930i | − | 0.0200749i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.04889 | − | 1.76028i | 0.107260 | − | 0.0619264i | ||||
\(809\) | 22.9383 | − | 13.2434i | 0.806467 | − | 0.465614i | −0.0392603 | − | 0.999229i | \(-0.512500\pi\) |
0.845728 | + | 0.533615i | \(0.179167\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 50.2759i | 1.76543i | 0.469911 | + | 0.882714i | \(0.344286\pi\) | ||||
−0.469911 | + | 0.882714i | \(0.655714\pi\) | |||||||
\(812\) | 19.0834 | + | 1.37013i | 0.669697 | + | 0.0480821i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.74496 | − | 4.75442i | 0.0962109 | − | 0.166642i | ||||
\(815\) | 0.0377226 | + | 0.0653375i | 0.00132136 | + | 0.00228867i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 60.5933 | + | 34.9836i | 2.11989 | + | 1.22392i | ||||
\(818\) | −1.56388 | −0.0546797 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.367245 | −0.0128248 | ||||||||
\(821\) | −5.84233 | − | 3.37307i | −0.203899 | − | 0.117721i | 0.394574 | − | 0.918864i | \(-0.370892\pi\) |
−0.598473 | + | 0.801143i | \(0.704226\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.5276 | + | 26.8946i | 0.541258 | + | 0.937487i | 0.998832 | + | 0.0483153i | \(0.0153852\pi\) |
−0.457574 | + | 0.889172i | \(0.651281\pi\) | |||||||
\(824\) | −7.99465 | + | 13.8471i | −0.278507 | + | 0.482388i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.30304 | − | 1.92410i | 0.0453384 | − | 0.0669480i | ||||
\(827\) | − | 17.0506i | − | 0.592906i | −0.955047 | − | 0.296453i | \(-0.904196\pi\) | ||
0.955047 | − | 0.296453i | \(-0.0958039\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.5417 | − | 17.6332i | 1.06076 | − | 0.612428i | 0.135115 | − | 0.990830i | \(-0.456860\pi\) |
0.925641 | + | 0.378402i | \(0.123526\pi\) | |||||||
\(830\) | 1.01081 | − | 0.583589i | 0.0350856 | − | 0.0202567i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 2.44949i | − | 0.0849208i | ||||||
\(833\) | −7.08268 | + | 8.99621i | −0.245400 | + | 0.311700i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.338502 | − | 0.586302i | 0.0117143 | − | 0.0202898i | ||||
\(836\) | 3.62863 | + | 6.28497i | 0.125499 | + | 0.217370i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.32164 | − | 2.49510i | −0.149288 | − | 0.0861917i | ||||
\(839\) | 20.8253 | 0.718969 | 0.359484 | − | 0.933151i | \(-0.382953\pi\) | ||||
0.359484 | + | 0.933151i | \(0.382953\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.2936 | −0.803226 | ||||||||
\(842\) | −32.0633 | − | 18.5117i | −1.10497 | − | 0.637957i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.48200 | + | 2.56689i | 0.0510125 | + | 0.0883562i | ||||
\(845\) | −0.238519 | + | 0.413127i | −0.00820531 | + | 0.0142120i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.38014 | + | 1.15539i | −0.0817826 | + | 0.0396998i | ||||
\(848\) | − | 8.47871i | − | 0.291160i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.07610 | + | 4.08539i | −0.242708 | + | 0.140128i | ||||
\(851\) | 2.22388 | − | 1.28396i | 0.0762335 | − | 0.0440135i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.3869i | 0.526837i | 0.964682 | + | 0.263419i | \(0.0848501\pi\) | ||||
−0.964682 | + | 0.263419i | \(0.915150\pi\) | |||||||
\(854\) | −1.88856 | + | 26.3042i | −0.0646251 | + | 0.900111i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.03225 | + | 5.25201i | −0.103640 | + | 0.179510i | ||||
\(857\) | −21.0768 | − | 36.5061i | −0.719969 | − | 1.24702i | −0.961011 | − | 0.276509i | \(-0.910822\pi\) |
0.241042 | − | 0.970515i | \(-0.422511\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.86724 | − | 3.96481i | −0.234307 | − | 0.135277i | 0.378250 | − | 0.925703i | \(-0.376526\pi\) |
−0.612558 | + | 0.790426i | \(0.709859\pi\) | |||||||
\(860\) | −0.657018 | −0.0224041 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −13.2291 | −0.450584 | ||||||||
\(863\) | −20.6857 | − | 11.9429i | −0.704150 | − | 0.406541i | 0.104741 | − | 0.994500i | \(-0.466599\pi\) |
−0.808891 | + | 0.587958i | \(0.799932\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.450534 | − | 0.780347i | −0.0153186 | − | 0.0265326i | ||||
\(866\) | 6.28969 | − | 10.8941i | 0.213732 | − | 0.370195i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.268829 | + | 0.553794i | 0.00912465 | + | 0.0187970i | ||||
\(869\) | − | 11.5322i | − | 0.391205i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.49093 | + | 3.74754i | −0.219937 | + | 0.126981i | ||||
\(872\) | 15.6036 | − | 9.00877i | 0.528406 | − | 0.305075i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.39458i | 0.114823i | ||||||||
\(875\) | 1.49221 | + | 1.01055i | 0.0504460 | + | 0.0341630i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.3033 | + | 24.7741i | −0.482989 | + | 0.836562i | −0.999809 | − | 0.0195322i | \(-0.993782\pi\) |
0.516820 | + | 0.856094i | \(0.327116\pi\) | |||||||
\(878\) | −8.79639 | − | 15.2358i | −0.296864 | − | 0.514183i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0590182 | − | 0.0340742i | −0.00198950 | − | 0.00114864i | ||||
\(881\) | 10.9836 | 0.370048 | 0.185024 | − | 0.982734i | \(-0.440764\pi\) | ||||
0.185024 | + | 0.982734i | \(0.440764\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.61872 | 0.222738 | 0.111369 | − | 0.993779i | \(-0.464477\pi\) | ||||
0.111369 | + | 0.993779i | \(0.464477\pi\) | |||||||
\(884\) | −3.46979 | − | 2.00328i | −0.116702 | − | 0.0673777i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 13.5531 | + | 23.4746i | 0.455324 | + | 0.788645i | ||||
\(887\) | 13.1198 | − | 22.7241i | 0.440519 | − | 0.763001i | −0.557209 | − | 0.830372i | \(-0.688128\pi\) |
0.997728 | + | 0.0673712i | \(0.0214612\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.9829 | − | 10.1467i | −0.502509 | − | 0.340308i | ||||
\(890\) | − | 0.727570i | − | 0.0243882i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −11.9717 | + | 6.91189i | −0.400844 | + | 0.231427i | ||||
\(893\) | −54.2014 | + | 31.2932i | −1.81378 | + | 1.04719i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.770563i | 0.0257571i | ||||||||
\(896\) | 1.15539 | + | 2.38014i | 0.0385990 | + | 0.0795149i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.49750 | + | 12.9861i | −0.250195 | + | 0.433350i | ||||
\(899\) | −0.841279 | − | 1.45714i | −0.0280582 | − | 0.0485983i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.0104 | − | 6.93421i | −0.400124 | − | 0.231012i | ||||
\(902\) | 5.38891 | 0.179431 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.05521 | 0.234653 | ||||||||
\(905\) | −0.487886 | − | 0.281681i | −0.0162179 | − | 0.00936340i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.03536 | + | 3.52534i | 0.0675830 | + | 0.117057i | 0.897837 | − | 0.440328i | \(-0.145138\pi\) |
−0.830254 | + | 0.557385i | \(0.811805\pi\) | |||||||
\(908\) | 11.1257 | − | 19.2702i | 0.369219 | − | 0.639506i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0316278 | + | 0.440518i | −0.00104845 | + | 0.0146030i | ||||
\(911\) | 48.6470i | 1.61175i | 0.592089 | + | 0.805873i | \(0.298304\pi\) | ||||
−0.592089 | + | 0.805873i | \(0.701696\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.8324 | + | 8.56350i | −0.490882 | + | 0.283411i | ||||
\(914\) | 0.823468 | − | 0.475430i | 0.0272379 | − | 0.0157258i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.2254i | 0.470020i | ||||||||
\(917\) | 3.60524 | − | 1.75010i | 0.119056 | − | 0.0577933i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.5377 | − | 26.9121i | 0.512542 | − | 0.887750i | −0.487352 | − | 0.873206i | \(-0.662037\pi\) |
0.999894 | − | 0.0145439i | \(-0.00462962\pi\) | |||||||
\(920\) | −0.0159382 | − | 0.0276058i | −0.000525467 | − | 0.000910135i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.3891 | − | 8.88488i | −0.506812 | − | 0.292608i | ||||
\(923\) | 38.8907 | 1.28010 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.4241 | 0.901700 | ||||||||
\(926\) | 1.05302 | + | 0.607962i | 0.0346044 | + | 0.0199789i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.61571 | − | 6.26260i | −0.118692 | − | 0.205580i | ||||
\(929\) | 23.7632 | − | 41.1591i | 0.779645 | − | 1.35039i | −0.152501 | − | 0.988303i | \(-0.548733\pi\) |
0.932146 | − | 0.362082i | \(-0.117934\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.25725 | + | 50.2797i | −0.237847 | + | 1.64785i | ||||
\(932\) | − | 0.514719i | − | 0.0168602i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 7.72464 | − | 4.45982i | 0.252758 | − | 0.145930i | ||||
\(935\) | −0.0965346 | + | 0.0557343i | −0.00315702 | + | 0.00182271i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 40.0691i | − | 1.30900i | −0.756062 | − | 0.654500i | \(-0.772879\pi\) | ||
0.756062 | − | 0.654500i | \(-0.227121\pi\) | |||||||
\(938\) | 4.53949 | − | 6.70314i | 0.148220 | − | 0.218865i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.293855 | − | 0.508972i | 0.00958450 | − | 0.0166008i | ||||
\(941\) | 13.3932 | + | 23.1977i | 0.436606 | + | 0.756223i | 0.997425 | − | 0.0717148i | \(-0.0228471\pi\) |
−0.560819 | + | 0.827938i | \(0.689514\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.18296 | + | 1.26033i | 0.0710868 | + | 0.0410420i | ||||
\(944\) | −0.878315 | −0.0285867 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.64100 | 0.313456 | ||||||||
\(947\) | −7.02383 | − | 4.05521i | −0.228244 | − | 0.131777i | 0.381518 | − | 0.924362i | \(-0.375402\pi\) |
−0.609762 | + | 0.792585i | \(0.708735\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.56993 | + | 16.5756i | 0.310653 | + | 0.538067i | ||||
\(950\) | −18.1263 | + | 31.3956i | −0.588094 | + | 1.01861i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.31648 | + | 0.309909i | 0.139898 | + | 0.0100442i | ||||
\(953\) | − | 1.34315i | − | 0.0435088i | −0.999763 | − | 0.0217544i | \(-0.993075\pi\) | ||
0.999763 | − | 0.0217544i | \(-0.00692518\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.702835 | + | 0.405782i | −0.0227432 | + | 0.0131308i | ||||
\(956\) | 18.9000 | − | 10.9119i | 0.611268 | − | 0.352916i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 20.6322i | − | 0.666597i | ||||||
\(959\) | 13.0246 | + | 0.935123i | 0.420586 | + | 0.0301967i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.4729 | + | 26.7999i | −0.499127 | + | 0.864513i | ||||
\(962\) | 6.72376 | + | 11.6459i | 0.216783 | + | 0.375479i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.95439 | − | 4.59247i | −0.256194 | − | 0.147914i | ||||
\(965\) | 1.73280 | 0.0557807 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −33.5361 | −1.07845 | −0.539224 | − | 0.842162i | \(-0.681282\pi\) | ||||
−0.539224 | + | 0.842162i | \(0.681282\pi\) | |||||||
\(968\) | 0.866025 | + | 0.500000i | 0.0278351 | + | 0.0160706i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.340699 | − | 0.590109i | −0.0109392 | − | 0.0189472i | ||||
\(971\) | 26.6106 | − | 46.0910i | 0.853976 | − | 1.47913i | −0.0236161 | − | 0.999721i | \(-0.507518\pi\) |
0.877592 | − | 0.479408i | \(-0.159149\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.64057 | − | 2.42251i | 0.0525942 | − | 0.0776620i | ||||
\(974\) | − | 0.0379288i | − | 0.00121532i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.63223 | − | 4.98382i | 0.276311 | − | 0.159528i | ||||
\(977\) | 0.171724 | − | 0.0991448i | 0.00549393 | − | 0.00317192i | −0.497251 | − | 0.867607i | \(-0.665657\pi\) |
0.502744 | + | 0.864435i | \(0.332324\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.6763i | 0.341215i | ||||||||
\(980\) | −0.177055 | − | 0.442964i | −0.00565580 | − | 0.0141500i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.3460 | − | 30.0441i | 0.553532 | − | 0.958745i | ||||
\(983\) | −13.7122 | − | 23.7503i | −0.437352 | − | 0.757516i | 0.560132 | − | 0.828403i | \(-0.310750\pi\) |
−0.997484 | + | 0.0708872i | \(0.977417\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.494467 | − | 0.285481i | −0.0157550 | − | 0.00909617i | ||||
\(986\) | −11.8283 | −0.376689 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −17.7766 | −0.565548 | ||||||||
\(989\) | 3.90541 | + | 2.25479i | 0.124185 | + | 0.0716981i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.4729 | − | 18.1396i | −0.332682 | − | 0.576222i | 0.650355 | − | 0.759631i | \(-0.274620\pi\) |
−0.983037 | + | 0.183408i | \(0.941287\pi\) | |||||||
\(992\) | 0.116337 | − | 0.201501i | 0.00369369 | − | 0.00639765i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −37.7896 | + | 18.3443i | −1.19861 | + | 0.581845i | ||||
\(995\) | 1.36714i | 0.0433413i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.8774 | + | 10.8989i | −0.597853 | + | 0.345170i | −0.768196 | − | 0.640214i | \(-0.778846\pi\) |
0.170344 | + | 0.985385i | \(0.445512\pi\) | |||||||
\(998\) | 17.7133 | − | 10.2268i | 0.560705 | − | 0.323723i | ||||
\(999\) | 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 | 1386.2.r.a.89.4 | ✓ | 8 | |
3.2 | odd | 2 | 1386.2.r.c.89.1 | yes | 8 | ||
7.3 | odd | 6 | 1386.2.r.c.1277.1 | yes | 8 | ||
21.17 | even | 6 | inner | 1386.2.r.a.1277.4 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.r.a.89.4 | ✓ | 8 | 1.1 | even | 1 | trivial | |
1386.2.r.a.1277.4 | yes | 8 | 21.17 | even | 6 | inner | |
1386.2.r.c.89.1 | yes | 8 | 3.2 | odd | 2 | ||
1386.2.r.c.1277.1 | yes | 8 | 7.3 | odd | 6 |