Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(379,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.379");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 378) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 757.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.757 |
Dual form | 1134.2.f.n.379.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | −0.732294 | − | 0.680989i | \(-0.761550\pi\) |
0.955901 | + | 0.293691i | \(0.0948835\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | 2.50000 | + | 4.33013i | 0.753778 | + | 1.30558i | 0.945979 | + | 0.324227i | \(0.105104\pi\) |
−0.192201 | + | 0.981356i | \(0.561563\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(14\) | −0.500000 | + | 0.866025i | −0.133631 | + | 0.231455i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.00000 | −0.485071 | −0.242536 | − | 0.970143i | \(-0.577979\pi\) | ||||
−0.242536 | + | 0.970143i | \(0.577979\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | −0.229416 | −0.114708 | − | 0.993399i | \(-0.536593\pi\) | ||||
−0.114708 | + | 0.993399i | \(0.536593\pi\) | |||||||
\(20\) | 0.500000 | + | 0.866025i | 0.111803 | + | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.50000 | + | 4.33013i | −0.533002 | + | 0.923186i | ||||
\(23\) | −0.500000 | + | 0.866025i | −0.104257 | + | 0.180579i | −0.913434 | − | 0.406986i | \(-0.866580\pi\) |
0.809177 | + | 0.587565i | \(0.199913\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.00000 | + | 3.46410i | 0.400000 | + | 0.692820i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | 2.00000 | + | 3.46410i | 0.371391 | + | 0.643268i | 0.989780 | − | 0.142605i | \(-0.0455477\pi\) |
−0.618389 | + | 0.785872i | \(0.712214\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.50000 | − | 7.79423i | 0.808224 | − | 1.39988i | −0.105869 | − | 0.994380i | \(-0.533762\pi\) |
0.914093 | − | 0.405505i | \(-0.132904\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.00000 | − | 1.73205i | −0.171499 | − | 0.297044i | ||||
\(35\) | 1.00000 | 0.169031 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.00000 | 0.821995 | 0.410997 | − | 0.911636i | \(-0.365181\pi\) | ||||
0.410997 | + | 0.911636i | \(0.365181\pi\) | |||||||
\(38\) | −0.500000 | − | 0.866025i | −0.0811107 | − | 0.140488i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.500000 | + | 0.866025i | −0.0790569 | + | 0.136931i | ||||
\(41\) | −4.50000 | + | 7.79423i | −0.702782 | + | 1.21725i | 0.264704 | + | 0.964330i | \(0.414726\pi\) |
−0.967486 | + | 0.252924i | \(0.918608\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.00000 | + | 8.66025i | 0.762493 | + | 1.32068i | 0.941562 | + | 0.336840i | \(0.109358\pi\) |
−0.179069 | + | 0.983836i | \(0.557309\pi\) | |||||||
\(44\) | −5.00000 | −0.753778 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | 3.00000 | + | 5.19615i | 0.437595 | + | 0.757937i | 0.997503 | − | 0.0706177i | \(-0.0224970\pi\) |
−0.559908 | + | 0.828554i | \(0.689164\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −2.00000 | + | 3.46410i | −0.282843 | + | 0.489898i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −12.0000 | −1.64833 | −0.824163 | − | 0.566352i | \(-0.808354\pi\) | ||||
−0.824163 | + | 0.566352i | \(0.808354\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.00000 | 0.674200 | ||||||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.00000 | + | 3.46410i | −0.262613 | + | 0.454859i | ||||
\(59\) | −7.00000 | + | 12.1244i | −0.911322 | + | 1.57846i | −0.0991242 | + | 0.995075i | \(0.531604\pi\) |
−0.812198 | + | 0.583382i | \(0.801729\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(62\) | 9.00000 | 1.14300 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000 | − | 6.92820i | 0.488678 | − | 0.846415i | −0.511237 | − | 0.859440i | \(-0.670813\pi\) |
0.999915 | + | 0.0130248i | \(0.00414604\pi\) | |||||||
\(68\) | 1.00000 | − | 1.73205i | 0.121268 | − | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.500000 | + | 0.866025i | 0.0597614 | + | 0.103510i | ||||
\(71\) | 13.0000 | 1.54282 | 0.771408 | − | 0.636341i | \(-0.219553\pi\) | ||||
0.771408 | + | 0.636341i | \(0.219553\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | 2.50000 | + | 4.33013i | 0.290619 | + | 0.503367i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.500000 | − | 0.866025i | 0.0573539 | − | 0.0993399i | ||||
\(77\) | −2.50000 | + | 4.33013i | −0.284901 | + | 0.493464i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.00000 | − | 5.19615i | −0.337526 | − | 0.584613i | 0.646440 | − | 0.762964i | \(-0.276257\pi\) |
−0.983967 | + | 0.178352i | \(0.942924\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.00000 | −0.993884 | ||||||||
\(83\) | −2.00000 | − | 3.46410i | −0.219529 | − | 0.380235i | 0.735135 | − | 0.677920i | \(-0.237119\pi\) |
−0.954664 | + | 0.297686i | \(0.903785\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.00000 | + | 1.73205i | −0.108465 | + | 0.187867i | ||||
\(86\) | −5.00000 | + | 8.66025i | −0.539164 | + | 0.933859i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.50000 | − | 4.33013i | −0.266501 | − | 0.461593i | ||||
\(89\) | 9.00000 | 0.953998 | 0.476999 | − | 0.878904i | \(-0.341725\pi\) | ||||
0.476999 | + | 0.878904i | \(0.341725\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.500000 | − | 0.866025i | −0.0521286 | − | 0.0902894i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.00000 | + | 5.19615i | −0.309426 | + | 0.535942i | ||||
\(95\) | −0.500000 | + | 0.866025i | −0.0512989 | + | 0.0888523i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.00000 | − | 13.8564i | −0.812277 | − | 1.40690i | −0.911267 | − | 0.411816i | \(-0.864894\pi\) |
0.0989899 | − | 0.995088i | \(-0.468439\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.00000 | −0.400000 | ||||||||
\(101\) | −7.00000 | − | 12.1244i | −0.696526 | − | 1.20642i | −0.969664 | − | 0.244443i | \(-0.921395\pi\) |
0.273138 | − | 0.961975i | \(-0.411939\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.500000 | − | 0.866025i | 0.0492665 | − | 0.0853320i | −0.840341 | − | 0.542059i | \(-0.817645\pi\) |
0.889607 | + | 0.456727i | \(0.150978\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.00000 | − | 10.3923i | −0.582772 | − | 1.00939i | ||||
\(107\) | −12.0000 | −1.16008 | −0.580042 | − | 0.814587i | \(-0.696964\pi\) | ||||
−0.580042 | + | 0.814587i | \(0.696964\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.00000 | 0.670478 | 0.335239 | − | 0.942133i | \(-0.391183\pi\) | ||||
0.335239 | + | 0.942133i | \(0.391183\pi\) | |||||||
\(110\) | 2.50000 | + | 4.33013i | 0.238366 | + | 0.412861i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.500000 | − | 0.866025i | 0.0472456 | − | 0.0818317i | ||||
\(113\) | −1.00000 | + | 1.73205i | −0.0940721 | + | 0.162938i | −0.909221 | − | 0.416314i | \(-0.863322\pi\) |
0.815149 | + | 0.579252i | \(0.196655\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.500000 | + | 0.866025i | 0.0466252 | + | 0.0807573i | ||||
\(116\) | −4.00000 | −0.371391 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −14.0000 | −1.28880 | ||||||||
\(119\) | −1.00000 | − | 1.73205i | −0.0916698 | − | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | + | 12.1244i | −0.636364 | + | 1.10221i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.50000 | + | 7.79423i | 0.404112 | + | 0.699942i | ||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 11.0000 | − | 19.0526i | 0.961074 | − | 1.66463i | 0.241264 | − | 0.970460i | \(-0.422438\pi\) |
0.719811 | − | 0.694170i | \(-0.244228\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.500000 | − | 0.866025i | −0.0433555 | − | 0.0750939i | ||||
\(134\) | 8.00000 | 0.691095 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.00000 | 0.171499 | ||||||||
\(137\) | 8.00000 | + | 13.8564i | 0.683486 | + | 1.18383i | 0.973910 | + | 0.226935i | \(0.0728704\pi\) |
−0.290424 | + | 0.956898i | \(0.593796\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.0000 | − | 17.3205i | 0.848189 | − | 1.46911i | −0.0346338 | − | 0.999400i | \(-0.511026\pi\) |
0.882823 | − | 0.469706i | \(-0.155640\pi\) | |||||||
\(140\) | −0.500000 | + | 0.866025i | −0.0422577 | + | 0.0731925i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.50000 | + | 11.2583i | 0.545468 | + | 0.944778i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.00000 | 0.332182 | ||||||||
\(146\) | −1.00000 | − | 1.73205i | −0.0827606 | − | 0.143346i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.50000 | + | 4.33013i | −0.205499 | + | 0.355934i | ||||
\(149\) | 3.00000 | − | 5.19615i | 0.245770 | − | 0.425685i | −0.716578 | − | 0.697507i | \(-0.754293\pi\) |
0.962348 | + | 0.271821i | \(0.0876260\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.00000 | − | 8.66025i | −0.406894 | − | 0.704761i | 0.587646 | − | 0.809118i | \(-0.300055\pi\) |
−0.994540 | + | 0.104357i | \(0.966722\pi\) | |||||||
\(152\) | 1.00000 | 0.0811107 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.00000 | −0.402911 | ||||||||
\(155\) | −4.50000 | − | 7.79423i | −0.361449 | − | 0.626048i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.00000 | + | 6.92820i | −0.319235 | + | 0.552931i | −0.980329 | − | 0.197372i | \(-0.936759\pi\) |
0.661094 | + | 0.750303i | \(0.270093\pi\) | |||||||
\(158\) | 3.00000 | − | 5.19615i | 0.238667 | − | 0.413384i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −1.00000 | −0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.00000 | −0.313304 | −0.156652 | − | 0.987654i | \(-0.550070\pi\) | ||||
−0.156652 | + | 0.987654i | \(0.550070\pi\) | |||||||
\(164\) | −4.50000 | − | 7.79423i | −0.351391 | − | 0.608627i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.00000 | − | 3.46410i | 0.155230 | − | 0.268866i | ||||
\(167\) | 5.00000 | − | 8.66025i | 0.386912 | − | 0.670151i | −0.605121 | − | 0.796134i | \(-0.706875\pi\) |
0.992032 | + | 0.125983i | \(0.0402085\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.50000 | + | 11.2583i | 0.500000 | + | 0.866025i | ||||
\(170\) | −2.00000 | −0.153393 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.0000 | −0.762493 | ||||||||
\(173\) | 3.50000 | + | 6.06218i | 0.266100 | + | 0.460899i | 0.967851 | − | 0.251523i | \(-0.0809315\pi\) |
−0.701751 | + | 0.712422i | \(0.747598\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.00000 | + | 3.46410i | −0.151186 | + | 0.261861i | ||||
\(176\) | 2.50000 | − | 4.33013i | 0.188445 | − | 0.326396i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.50000 | + | 7.79423i | 0.337289 | + | 0.584202i | ||||
\(179\) | −24.0000 | −1.79384 | −0.896922 | − | 0.442189i | \(-0.854202\pi\) | ||||
−0.896922 | + | 0.442189i | \(0.854202\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.0000 | 1.33793 | 0.668965 | − | 0.743294i | \(-0.266738\pi\) | ||||
0.668965 | + | 0.743294i | \(0.266738\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.500000 | − | 0.866025i | 0.0368605 | − | 0.0638442i | ||||
\(185\) | 2.50000 | − | 4.33013i | 0.183804 | − | 0.318357i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.00000 | − | 8.66025i | −0.365636 | − | 0.633300i | ||||
\(188\) | −6.00000 | −0.437595 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.00000 | −0.0725476 | ||||||||
\(191\) | −1.50000 | − | 2.59808i | −0.108536 | − | 0.187990i | 0.806641 | − | 0.591041i | \(-0.201283\pi\) |
−0.915177 | + | 0.403051i | \(0.867950\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.00000 | − | 8.66025i | 0.359908 | − | 0.623379i | −0.628037 | − | 0.778183i | \(-0.716141\pi\) |
0.987945 | + | 0.154805i | \(0.0494748\pi\) | |||||||
\(194\) | 8.00000 | − | 13.8564i | 0.574367 | − | 0.994832i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.500000 | − | 0.866025i | −0.0357143 | − | 0.0618590i | ||||
\(197\) | 10.0000 | 0.712470 | 0.356235 | − | 0.934396i | \(-0.384060\pi\) | ||||
0.356235 | + | 0.934396i | \(0.384060\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.0000 | −0.921546 | −0.460773 | − | 0.887518i | \(-0.652428\pi\) | ||||
−0.460773 | + | 0.887518i | \(0.652428\pi\) | |||||||
\(200\) | −2.00000 | − | 3.46410i | −0.141421 | − | 0.244949i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.00000 | − | 12.1244i | 0.492518 | − | 0.853067i | ||||
\(203\) | −2.00000 | + | 3.46410i | −0.140372 | + | 0.243132i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.50000 | + | 7.79423i | 0.314294 | + | 0.544373i | ||||
\(206\) | 1.00000 | 0.0696733 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.50000 | − | 4.33013i | −0.172929 | − | 0.299521i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.0000 | − | 19.0526i | 0.757271 | − | 1.31163i | −0.186966 | − | 0.982366i | \(-0.559865\pi\) |
0.944237 | − | 0.329266i | \(-0.106801\pi\) | |||||||
\(212\) | 6.00000 | − | 10.3923i | 0.412082 | − | 0.713746i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.00000 | − | 10.3923i | −0.410152 | − | 0.710403i | ||||
\(215\) | 10.0000 | 0.681994 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.00000 | 0.610960 | ||||||||
\(218\) | 3.50000 | + | 6.06218i | 0.237050 | + | 0.410582i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.50000 | + | 4.33013i | −0.168550 | + | 0.291937i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.50000 | − | 4.33013i | −0.167412 | − | 0.289967i | 0.770097 | − | 0.637927i | \(-0.220208\pi\) |
−0.937509 | + | 0.347960i | \(0.886874\pi\) | |||||||
\(224\) | 1.00000 | 0.0668153 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.00000 | −0.133038 | ||||||||
\(227\) | 3.00000 | + | 5.19615i | 0.199117 | + | 0.344881i | 0.948242 | − | 0.317547i | \(-0.102859\pi\) |
−0.749125 | + | 0.662428i | \(0.769526\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.0000 | + | 24.2487i | −0.925146 | + | 1.60240i | −0.133820 | + | 0.991006i | \(0.542724\pi\) |
−0.791326 | + | 0.611394i | \(0.790609\pi\) | |||||||
\(230\) | −0.500000 | + | 0.866025i | −0.0329690 | + | 0.0571040i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.00000 | − | 3.46410i | −0.131306 | − | 0.227429i | ||||
\(233\) | −14.0000 | −0.917170 | −0.458585 | − | 0.888650i | \(-0.651644\pi\) | ||||
−0.458585 | + | 0.888650i | \(0.651644\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | 0.391397 | ||||||||
\(236\) | −7.00000 | − | 12.1244i | −0.455661 | − | 0.789228i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.00000 | − | 1.73205i | 0.0648204 | − | 0.112272i | ||||
\(239\) | 12.0000 | − | 20.7846i | 0.776215 | − | 1.34444i | −0.157893 | − | 0.987456i | \(-0.550470\pi\) |
0.934109 | − | 0.356988i | \(-0.116196\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.00000 | − | 12.1244i | −0.450910 | − | 0.780998i | 0.547533 | − | 0.836784i | \(-0.315567\pi\) |
−0.998443 | + | 0.0557856i | \(0.982234\pi\) | |||||||
\(242\) | −14.0000 | −0.899954 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.500000 | + | 0.866025i | 0.0319438 | + | 0.0553283i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.50000 | + | 7.79423i | −0.285750 | + | 0.494934i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.50000 | + | 7.79423i | 0.284605 | + | 0.492950i | ||||
\(251\) | 24.0000 | 1.51487 | 0.757433 | − | 0.652913i | \(-0.226453\pi\) | ||||
0.757433 | + | 0.652913i | \(0.226453\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.00000 | −0.314347 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 13.5000 | − | 23.3827i | 0.842107 | − | 1.45857i | −0.0460033 | − | 0.998941i | \(-0.514648\pi\) |
0.888110 | − | 0.459631i | \(-0.152018\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.50000 | + | 4.33013i | 0.155342 | + | 0.269061i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 22.0000 | 1.35916 | ||||||||
\(263\) | −10.5000 | − | 18.1865i | −0.647458 | − | 1.12143i | −0.983728 | − | 0.179664i | \(-0.942499\pi\) |
0.336270 | − | 0.941766i | \(-0.390834\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.00000 | + | 10.3923i | −0.368577 | + | 0.638394i | ||||
\(266\) | 0.500000 | − | 0.866025i | 0.0306570 | − | 0.0530994i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.00000 | + | 6.92820i | 0.244339 | + | 0.423207i | ||||
\(269\) | −13.0000 | −0.792624 | −0.396312 | − | 0.918116i | \(-0.629710\pi\) | ||||
−0.396312 | + | 0.918116i | \(0.629710\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.0000 | 1.45790 | 0.728948 | − | 0.684569i | \(-0.240010\pi\) | ||||
0.728948 | + | 0.684569i | \(0.240010\pi\) | |||||||
\(272\) | 1.00000 | + | 1.73205i | 0.0606339 | + | 0.105021i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.00000 | + | 13.8564i | −0.483298 | + | 0.837096i | ||||
\(275\) | −10.0000 | + | 17.3205i | −0.603023 | + | 1.04447i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.50000 | + | 16.4545i | 0.570800 | + | 0.988654i | 0.996484 | + | 0.0837823i | \(0.0267000\pi\) |
−0.425684 | + | 0.904872i | \(0.639967\pi\) | |||||||
\(278\) | 20.0000 | 1.19952 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.00000 | −0.0597614 | ||||||||
\(281\) | −5.00000 | − | 8.66025i | −0.298275 | − | 0.516627i | 0.677466 | − | 0.735554i | \(-0.263078\pi\) |
−0.975741 | + | 0.218926i | \(0.929745\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.0000 | − | 17.3205i | 0.594438 | − | 1.02960i | −0.399188 | − | 0.916869i | \(-0.630708\pi\) |
0.993626 | − | 0.112728i | \(-0.0359589\pi\) | |||||||
\(284\) | −6.50000 | + | 11.2583i | −0.385704 | + | 0.668059i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −9.00000 | −0.531253 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 2.00000 | + | 3.46410i | 0.117444 | + | 0.203419i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.00000 | − | 1.73205i | 0.0585206 | − | 0.101361i | ||||
\(293\) | 9.00000 | − | 15.5885i | 0.525786 | − | 0.910687i | −0.473763 | − | 0.880652i | \(-0.657105\pi\) |
0.999549 | − | 0.0300351i | \(-0.00956192\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.00000 | + | 12.1244i | 0.407556 | + | 0.705907i | ||||
\(296\) | −5.00000 | −0.290619 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.00000 | + | 8.66025i | −0.288195 | + | 0.499169i | ||||
\(302\) | 5.00000 | − | 8.66025i | 0.287718 | − | 0.498342i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.500000 | + | 0.866025i | 0.0286770 | + | 0.0496700i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.00000 | −0.285365 | −0.142683 | − | 0.989769i | \(-0.545573\pi\) | ||||
−0.142683 | + | 0.989769i | \(0.545573\pi\) | |||||||
\(308\) | −2.50000 | − | 4.33013i | −0.142451 | − | 0.246732i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.50000 | − | 7.79423i | 0.255583 | − | 0.442682i | ||||
\(311\) | −4.00000 | + | 6.92820i | −0.226819 | + | 0.392862i | −0.956864 | − | 0.290537i | \(-0.906166\pi\) |
0.730044 | + | 0.683400i | \(0.239499\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.00000 | + | 6.92820i | 0.226093 | + | 0.391605i | 0.956647 | − | 0.291250i | \(-0.0940712\pi\) |
−0.730554 | + | 0.682855i | \(0.760738\pi\) | |||||||
\(314\) | −8.00000 | −0.451466 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.00000 | 0.337526 | ||||||||
\(317\) | −9.00000 | − | 15.5885i | −0.505490 | − | 0.875535i | −0.999980 | − | 0.00635137i | \(-0.997978\pi\) |
0.494489 | − | 0.869184i | \(-0.335355\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.0000 | + | 17.3205i | −0.559893 | + | 0.969762i | ||||
\(320\) | 0.500000 | − | 0.866025i | 0.0279508 | − | 0.0484123i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.500000 | − | 0.866025i | −0.0278639 | − | 0.0482617i | ||||
\(323\) | 2.00000 | 0.111283 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.00000 | − | 3.46410i | −0.110770 | − | 0.191859i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.50000 | − | 7.79423i | 0.248471 | − | 0.430364i | ||||
\(329\) | −3.00000 | + | 5.19615i | −0.165395 | + | 0.286473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00000 | + | 3.46410i | 0.109930 | + | 0.190404i | 0.915742 | − | 0.401768i | \(-0.131604\pi\) |
−0.805812 | + | 0.592172i | \(0.798271\pi\) | |||||||
\(332\) | 4.00000 | 0.219529 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.0000 | 0.547176 | ||||||||
\(335\) | −4.00000 | − | 6.92820i | −0.218543 | − | 0.378528i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.5000 | + | 23.3827i | −0.735392 | + | 1.27374i | 0.219159 | + | 0.975689i | \(0.429669\pi\) |
−0.954551 | + | 0.298047i | \(0.903665\pi\) | |||||||
\(338\) | −6.50000 | + | 11.2583i | −0.353553 | + | 0.612372i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.00000 | − | 1.73205i | −0.0542326 | − | 0.0939336i | ||||
\(341\) | 45.0000 | 2.43689 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −5.00000 | − | 8.66025i | −0.269582 | − | 0.466930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.50000 | + | 6.06218i | −0.188161 | + | 0.325905i | ||||
\(347\) | −1.50000 | + | 2.59808i | −0.0805242 | + | 0.139472i | −0.903475 | − | 0.428640i | \(-0.858993\pi\) |
0.822951 | + | 0.568112i | \(0.192326\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.0000 | + | 22.5167i | 0.695874 | + | 1.20529i | 0.969885 | + | 0.243563i | \(0.0783162\pi\) |
−0.274011 | + | 0.961727i | \(0.588351\pi\) | |||||||
\(350\) | −4.00000 | −0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.00000 | 0.266501 | ||||||||
\(353\) | −1.50000 | − | 2.59808i | −0.0798369 | − | 0.138282i | 0.823343 | − | 0.567545i | \(-0.192107\pi\) |
−0.903179 | + | 0.429263i | \(0.858773\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.50000 | − | 11.2583i | 0.344984 | − | 0.597530i | ||||
\(356\) | −4.50000 | + | 7.79423i | −0.238500 | + | 0.413093i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.0000 | − | 20.7846i | −0.634220 | − | 1.09850i | ||||
\(359\) | −4.00000 | −0.211112 | −0.105556 | − | 0.994413i | \(-0.533662\pi\) | ||||
−0.105556 | + | 0.994413i | \(0.533662\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.0000 | −0.947368 | ||||||||
\(362\) | 9.00000 | + | 15.5885i | 0.473029 | + | 0.819311i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.00000 | + | 1.73205i | −0.0523424 | + | 0.0906597i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −17.5000 | − | 30.3109i | −0.913493 | − | 1.58222i | −0.809093 | − | 0.587680i | \(-0.800041\pi\) |
−0.104399 | − | 0.994535i | \(-0.533292\pi\) | |||||||
\(368\) | 1.00000 | 0.0521286 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.00000 | 0.259938 | ||||||||
\(371\) | −6.00000 | − | 10.3923i | −0.311504 | − | 0.539542i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.50000 | − | 14.7224i | 0.440113 | − | 0.762299i | −0.557584 | − | 0.830120i | \(-0.688272\pi\) |
0.997697 | + | 0.0678218i | \(0.0216049\pi\) | |||||||
\(374\) | 5.00000 | − | 8.66025i | 0.258544 | − | 0.447811i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.00000 | − | 5.19615i | −0.154713 | − | 0.267971i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.0000 | −0.719132 | −0.359566 | − | 0.933120i | \(-0.617075\pi\) | ||||
−0.359566 | + | 0.933120i | \(0.617075\pi\) | |||||||
\(380\) | −0.500000 | − | 0.866025i | −0.0256495 | − | 0.0444262i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.50000 | − | 2.59808i | 0.0767467 | − | 0.132929i | ||||
\(383\) | −5.00000 | + | 8.66025i | −0.255488 | + | 0.442518i | −0.965028 | − | 0.262147i | \(-0.915569\pi\) |
0.709540 | + | 0.704665i | \(0.248903\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.50000 | + | 4.33013i | 0.127412 | + | 0.220684i | ||||
\(386\) | 10.0000 | 0.508987 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 16.0000 | 0.812277 | ||||||||
\(389\) | −10.0000 | − | 17.3205i | −0.507020 | − | 0.878185i | −0.999967 | − | 0.00812520i | \(-0.997414\pi\) |
0.492947 | − | 0.870059i | \(-0.335920\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.00000 | − | 1.73205i | 0.0505722 | − | 0.0875936i | ||||
\(392\) | 0.500000 | − | 0.866025i | 0.0252538 | − | 0.0437409i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.00000 | + | 8.66025i | 0.251896 | + | 0.436297i | ||||
\(395\) | −6.00000 | −0.301893 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −30.0000 | −1.50566 | −0.752828 | − | 0.658217i | \(-0.771311\pi\) | ||||
−0.752828 | + | 0.658217i | \(0.771311\pi\) | |||||||
\(398\) | −6.50000 | − | 11.2583i | −0.325816 | − | 0.564329i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.00000 | − | 3.46410i | 0.100000 | − | 0.173205i | ||||
\(401\) | −6.00000 | + | 10.3923i | −0.299626 | + | 0.518967i | −0.976050 | − | 0.217545i | \(-0.930195\pi\) |
0.676425 | + | 0.736512i | \(0.263528\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 14.0000 | 0.696526 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.00000 | −0.198517 | ||||||||
\(407\) | 12.5000 | + | 21.6506i | 0.619602 | + | 1.07318i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.00000 | − | 8.66025i | 0.247234 | − | 0.428222i | −0.715523 | − | 0.698589i | \(-0.753812\pi\) |
0.962757 | + | 0.270367i | \(0.0871450\pi\) | |||||||
\(410\) | −4.50000 | + | 7.79423i | −0.222239 | + | 0.384930i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.500000 | + | 0.866025i | 0.0246332 | + | 0.0426660i | ||||
\(413\) | −14.0000 | −0.688895 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.00000 | −0.196352 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.50000 | − | 4.33013i | 0.122279 | − | 0.211793i | ||||
\(419\) | 3.00000 | − | 5.19615i | 0.146560 | − | 0.253849i | −0.783394 | − | 0.621525i | \(-0.786513\pi\) |
0.929954 | + | 0.367677i | \(0.119847\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.5000 | + | 23.3827i | 0.657950 | + | 1.13960i | 0.981146 | + | 0.193270i | \(0.0619094\pi\) |
−0.323196 | + | 0.946332i | \(0.604757\pi\) | |||||||
\(422\) | 22.0000 | 1.07094 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.0000 | 0.582772 | ||||||||
\(425\) | −4.00000 | − | 6.92820i | −0.194029 | − | 0.336067i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | − | 10.3923i | 0.290021 | − | 0.502331i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.00000 | + | 8.66025i | 0.241121 | + | 0.417635i | ||||
\(431\) | 15.0000 | 0.722525 | 0.361262 | − | 0.932464i | \(-0.382346\pi\) | ||||
0.361262 | + | 0.932464i | \(0.382346\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.00000 | −0.192228 | −0.0961139 | − | 0.995370i | \(-0.530641\pi\) | ||||
−0.0961139 | + | 0.995370i | \(0.530641\pi\) | |||||||
\(434\) | 4.50000 | + | 7.79423i | 0.216007 | + | 0.374135i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.50000 | + | 6.06218i | −0.167620 | + | 0.290326i | ||||
\(437\) | 0.500000 | − | 0.866025i | 0.0239182 | − | 0.0414276i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.0000 | − | 20.7846i | −0.572729 | − | 0.991995i | −0.996284 | − | 0.0861252i | \(-0.972552\pi\) |
0.423556 | − | 0.905870i | \(-0.360782\pi\) | |||||||
\(440\) | −5.00000 | −0.238366 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.50000 | + | 9.52628i | 0.261313 | + | 0.452607i | 0.966591 | − | 0.256323i | \(-0.0825112\pi\) |
−0.705278 | + | 0.708931i | \(0.749178\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.50000 | − | 7.79423i | 0.213320 | − | 0.369482i | ||||
\(446\) | 2.50000 | − | 4.33013i | 0.118378 | − | 0.205037i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.500000 | + | 0.866025i | 0.0236228 | + | 0.0409159i | ||||
\(449\) | −10.0000 | −0.471929 | −0.235965 | − | 0.971762i | \(-0.575825\pi\) | ||||
−0.235965 | + | 0.971762i | \(0.575825\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −45.0000 | −2.11897 | ||||||||
\(452\) | −1.00000 | − | 1.73205i | −0.0470360 | − | 0.0814688i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.00000 | + | 5.19615i | −0.140797 | + | 0.243868i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.50000 | − | 11.2583i | −0.304057 | − | 0.526642i | 0.672994 | − | 0.739648i | \(-0.265008\pi\) |
−0.977051 | + | 0.213006i | \(0.931675\pi\) | |||||||
\(458\) | −28.0000 | −1.30835 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.00000 | −0.0466252 | ||||||||
\(461\) | 15.5000 | + | 26.8468i | 0.721907 | + | 1.25038i | 0.960235 | + | 0.279195i | \(0.0900675\pi\) |
−0.238328 | + | 0.971185i | \(0.576599\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.00000 | − | 12.1244i | 0.325318 | − | 0.563467i | −0.656259 | − | 0.754536i | \(-0.727862\pi\) |
0.981577 | + | 0.191069i | \(0.0611955\pi\) | |||||||
\(464\) | 2.00000 | − | 3.46410i | 0.0928477 | − | 0.160817i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.00000 | − | 12.1244i | −0.324269 | − | 0.561650i | ||||
\(467\) | 26.0000 | 1.20314 | 0.601568 | − | 0.798821i | \(-0.294543\pi\) | ||||
0.601568 | + | 0.798821i | \(0.294543\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.00000 | 0.369406 | ||||||||
\(470\) | 3.00000 | + | 5.19615i | 0.138380 | + | 0.239681i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.00000 | − | 12.1244i | 0.322201 | − | 0.558069i | ||||
\(473\) | −25.0000 | + | 43.3013i | −1.14950 | + | 1.99099i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.00000 | − | 3.46410i | −0.0917663 | − | 0.158944i | ||||
\(476\) | 2.00000 | 0.0916698 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 24.0000 | 1.09773 | ||||||||
\(479\) | 16.0000 | + | 27.7128i | 0.731059 | + | 1.26623i | 0.956431 | + | 0.291958i | \(0.0943068\pi\) |
−0.225372 | + | 0.974273i | \(0.572360\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.00000 | − | 12.1244i | 0.318841 | − | 0.552249i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.00000 | − | 12.1244i | −0.318182 | − | 0.551107i | ||||
\(485\) | −16.0000 | −0.726523 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.0000 | 1.17817 | 0.589086 | − | 0.808070i | \(-0.299488\pi\) | ||||
0.589086 | + | 0.808070i | \(0.299488\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.500000 | + | 0.866025i | −0.0225877 | + | 0.0391230i | ||||
\(491\) | 4.50000 | − | 7.79423i | 0.203082 | − | 0.351749i | −0.746438 | − | 0.665455i | \(-0.768237\pi\) |
0.949520 | + | 0.313707i | \(0.101571\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.00000 | − | 6.92820i | −0.180151 | − | 0.312031i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.00000 | −0.404112 | ||||||||
\(497\) | 6.50000 | + | 11.2583i | 0.291565 | + | 0.505005i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.00000 | + | 8.66025i | −0.223831 | + | 0.387686i | −0.955968 | − | 0.293471i | \(-0.905190\pi\) |
0.732137 | + | 0.681157i | \(0.238523\pi\) | |||||||
\(500\) | −4.50000 | + | 7.79423i | −0.201246 | + | 0.348569i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.0000 | + | 20.7846i | 0.535586 | + | 0.927663i | ||||
\(503\) | −36.0000 | −1.60516 | −0.802580 | − | 0.596544i | \(-0.796540\pi\) | ||||
−0.802580 | + | 0.596544i | \(0.796540\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.0000 | −0.622992 | ||||||||
\(506\) | −2.50000 | − | 4.33013i | −0.111139 | − | 0.192498i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 9.00000 | − | 15.5885i | 0.398918 | − | 0.690946i | −0.594675 | − | 0.803966i | \(-0.702719\pi\) |
0.993593 | + | 0.113020i | \(0.0360525\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.00000 | − | 1.73205i | −0.0442374 | − | 0.0766214i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 27.0000 | 1.19092 | ||||||||
\(515\) | −0.500000 | − | 0.866025i | −0.0220326 | − | 0.0381616i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.0000 | + | 25.9808i | −0.659699 | + | 1.14263i | ||||
\(518\) | −2.50000 | + | 4.33013i | −0.109844 | + | 0.190255i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.0000 | 0.657162 | 0.328581 | − | 0.944476i | \(-0.393430\pi\) | ||||
0.328581 | + | 0.944476i | \(0.393430\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.0000 | 0.480996 | 0.240498 | − | 0.970650i | \(-0.422689\pi\) | ||||
0.240498 | + | 0.970650i | \(0.422689\pi\) | |||||||
\(524\) | 11.0000 | + | 19.0526i | 0.480537 | + | 0.832315i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.5000 | − | 18.1865i | 0.457822 | − | 0.792971i | ||||
\(527\) | −9.00000 | + | 15.5885i | −0.392046 | + | 0.679044i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.0000 | + | 19.0526i | 0.478261 | + | 0.828372i | ||||
\(530\) | −12.0000 | −0.521247 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.00000 | 0.0433555 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.00000 | + | 10.3923i | −0.259403 | + | 0.449299i | ||||
\(536\) | −4.00000 | + | 6.92820i | −0.172774 | + | 0.299253i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.50000 | − | 11.2583i | −0.280235 | − | 0.485381i | ||||
\(539\) | −5.00000 | −0.215365 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.00000 | −0.128980 | −0.0644900 | − | 0.997918i | \(-0.520542\pi\) | ||||
−0.0644900 | + | 0.997918i | \(0.520542\pi\) | |||||||
\(542\) | 12.0000 | + | 20.7846i | 0.515444 | + | 0.892775i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.00000 | + | 1.73205i | −0.0428746 | + | 0.0742611i | ||||
\(545\) | 3.50000 | − | 6.06218i | 0.149924 | − | 0.259675i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.00000 | − | 10.3923i | −0.256541 | − | 0.444343i | 0.708772 | − | 0.705438i | \(-0.249250\pi\) |
−0.965313 | + | 0.261095i | \(0.915916\pi\) | |||||||
\(548\) | −16.0000 | −0.683486 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −20.0000 | −0.852803 | ||||||||
\(551\) | −2.00000 | − | 3.46410i | −0.0852029 | − | 0.147576i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.00000 | − | 5.19615i | 0.127573 | − | 0.220963i | ||||
\(554\) | −9.50000 | + | 16.4545i | −0.403616 | + | 0.699084i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.0000 | + | 17.3205i | 0.424094 | + | 0.734553i | ||||
\(557\) | −22.0000 | −0.932170 | −0.466085 | − | 0.884740i | \(-0.654336\pi\) | ||||
−0.466085 | + | 0.884740i | \(0.654336\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −0.500000 | − | 0.866025i | −0.0211289 | − | 0.0365963i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.00000 | − | 8.66025i | 0.210912 | − | 0.365311i | ||||
\(563\) | −2.00000 | + | 3.46410i | −0.0842900 | + | 0.145994i | −0.905088 | − | 0.425223i | \(-0.860196\pi\) |
0.820798 | + | 0.571218i | \(0.193529\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.00000 | + | 1.73205i | 0.0420703 | + | 0.0728679i | ||||
\(566\) | 20.0000 | 0.840663 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.0000 | −0.545468 | ||||||||
\(569\) | 15.0000 | + | 25.9808i | 0.628833 | + | 1.08917i | 0.987786 | + | 0.155815i | \(0.0498003\pi\) |
−0.358954 | + | 0.933355i | \(0.616866\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.00000 | + | 15.5885i | −0.376638 | + | 0.652357i | −0.990571 | − | 0.137002i | \(-0.956253\pi\) |
0.613933 | + | 0.789359i | \(0.289587\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.50000 | − | 7.79423i | −0.187826 | − | 0.325325i | ||||
\(575\) | −4.00000 | −0.166812 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.0000 | −0.582828 | −0.291414 | − | 0.956597i | \(-0.594126\pi\) | ||||
−0.291414 | + | 0.956597i | \(0.594126\pi\) | |||||||
\(578\) | −6.50000 | − | 11.2583i | −0.270364 | − | 0.468285i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.00000 | + | 3.46410i | −0.0830455 | + | 0.143839i | ||||
\(581\) | 2.00000 | − | 3.46410i | 0.0829740 | − | 0.143715i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −30.0000 | − | 51.9615i | −1.24247 | − | 2.15203i | ||||
\(584\) | 2.00000 | 0.0827606 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.0000 | 0.743573 | ||||||||
\(587\) | 7.00000 | + | 12.1244i | 0.288921 | + | 0.500426i | 0.973552 | − | 0.228464i | \(-0.0733702\pi\) |
−0.684632 | + | 0.728889i | \(0.740037\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.50000 | + | 7.79423i | −0.185419 | + | 0.321156i | ||||
\(590\) | −7.00000 | + | 12.1244i | −0.288185 | + | 0.499152i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.50000 | − | 4.33013i | −0.102749 | − | 0.177967i | ||||
\(593\) | −9.00000 | −0.369586 | −0.184793 | − | 0.982777i | \(-0.559161\pi\) | ||||
−0.184793 | + | 0.982777i | \(0.559161\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.00000 | −0.0819920 | ||||||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −13.5000 | + | 23.3827i | −0.551595 | + | 0.955391i | 0.446565 | + | 0.894751i | \(0.352647\pi\) |
−0.998160 | + | 0.0606393i | \(0.980686\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.00000 | − | 6.92820i | −0.163163 | − | 0.282607i | 0.772838 | − | 0.634603i | \(-0.218836\pi\) |
−0.936002 | + | 0.351996i | \(0.885503\pi\) | |||||||
\(602\) | −10.0000 | −0.407570 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 10.0000 | 0.406894 | ||||||||
\(605\) | 7.00000 | + | 12.1244i | 0.284590 | + | 0.492925i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.00000 | + | 10.3923i | −0.243532 | + | 0.421811i | −0.961718 | − | 0.274041i | \(-0.911640\pi\) |
0.718186 | + | 0.695852i | \(0.244973\pi\) | |||||||
\(608\) | −0.500000 | + | 0.866025i | −0.0202777 | + | 0.0351220i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.0000 | −0.605844 | −0.302922 | − | 0.953015i | \(-0.597962\pi\) | ||||
−0.302922 | + | 0.953015i | \(0.597962\pi\) | |||||||
\(614\) | −2.50000 | − | 4.33013i | −0.100892 | − | 0.174750i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.50000 | − | 4.33013i | 0.100728 | − | 0.174466i | ||||
\(617\) | 7.00000 | − | 12.1244i | 0.281809 | − | 0.488108i | −0.690021 | − | 0.723789i | \(-0.742399\pi\) |
0.971830 | + | 0.235681i | \(0.0757321\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.50000 | + | 9.52628i | 0.221064 | + | 0.382893i | 0.955131 | − | 0.296183i | \(-0.0957138\pi\) |
−0.734068 | + | 0.679076i | \(0.762380\pi\) | |||||||
\(620\) | 9.00000 | 0.361449 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.00000 | −0.320771 | ||||||||
\(623\) | 4.50000 | + | 7.79423i | 0.180289 | + | 0.312269i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.50000 | + | 9.52628i | −0.220000 | + | 0.381051i | ||||
\(626\) | −4.00000 | + | 6.92820i | −0.159872 | + | 0.276907i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.00000 | − | 6.92820i | −0.159617 | − | 0.276465i | ||||
\(629\) | −10.0000 | −0.398726 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.0000 | 1.51276 | 0.756378 | − | 0.654135i | \(-0.226967\pi\) | ||||
0.756378 | + | 0.654135i | \(0.226967\pi\) | |||||||
\(632\) | 3.00000 | + | 5.19615i | 0.119334 | + | 0.206692i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.00000 | − | 15.5885i | 0.357436 | − | 0.619097i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −20.0000 | −0.791808 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.00000 | 0.0395285 | ||||||||
\(641\) | −11.0000 | − | 19.0526i | −0.434474 | − | 0.752531i | 0.562779 | − | 0.826608i | \(-0.309732\pi\) |
−0.997253 | + | 0.0740768i | \(0.976399\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.50000 | − | 11.2583i | 0.256335 | − | 0.443985i | −0.708922 | − | 0.705287i | \(-0.750818\pi\) |
0.965257 | + | 0.261301i | \(0.0841516\pi\) | |||||||
\(644\) | 0.500000 | − | 0.866025i | 0.0197028 | − | 0.0341262i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.00000 | + | 1.73205i | 0.0393445 | + | 0.0681466i | ||||
\(647\) | −42.0000 | −1.65119 | −0.825595 | − | 0.564263i | \(-0.809160\pi\) | ||||
−0.825595 | + | 0.564263i | \(0.809160\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −70.0000 | −2.74774 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.00000 | − | 3.46410i | 0.0783260 | − | 0.135665i | ||||
\(653\) | −15.0000 | + | 25.9808i | −0.586995 | + | 1.01671i | 0.407628 | + | 0.913148i | \(0.366356\pi\) |
−0.994623 | + | 0.103558i | \(0.966977\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.0000 | − | 19.0526i | −0.429806 | − | 0.744445i | ||||
\(656\) | 9.00000 | 0.351391 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.00000 | −0.233904 | ||||||||
\(659\) | 8.50000 | + | 14.7224i | 0.331113 | + | 0.573505i | 0.982730 | − | 0.185043i | \(-0.0592425\pi\) |
−0.651617 | + | 0.758548i | \(0.725909\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.0000 | + | 24.2487i | −0.544537 | + | 0.943166i | 0.454099 | + | 0.890951i | \(0.349961\pi\) |
−0.998636 | + | 0.0522143i | \(0.983372\pi\) | |||||||
\(662\) | −2.00000 | + | 3.46410i | −0.0777322 | + | 0.134636i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.00000 | + | 3.46410i | 0.0776151 | + | 0.134433i | ||||
\(665\) | −1.00000 | −0.0387783 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.00000 | −0.154881 | ||||||||
\(668\) | 5.00000 | + | 8.66025i | 0.193456 | + | 0.335075i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.00000 | − | 6.92820i | 0.154533 | − | 0.267660i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.0000 | − | 22.5167i | −0.501113 | − | 0.867953i | −0.999999 | − | 0.00128586i | \(-0.999591\pi\) |
0.498886 | − | 0.866668i | \(-0.333743\pi\) | |||||||
\(674\) | −27.0000 | −1.04000 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.0000 | −0.500000 | ||||||||
\(677\) | 13.5000 | + | 23.3827i | 0.518847 | + | 0.898670i | 0.999760 | + | 0.0219013i | \(0.00697196\pi\) |
−0.480913 | + | 0.876768i | \(0.659695\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.00000 | − | 13.8564i | 0.307012 | − | 0.531760i | ||||
\(680\) | 1.00000 | − | 1.73205i | 0.0383482 | − | 0.0664211i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 22.5000 | + | 38.9711i | 0.861570 | + | 1.49228i | ||||
\(683\) | 9.00000 | 0.344375 | 0.172188 | − | 0.985064i | \(-0.444916\pi\) | ||||
0.172188 | + | 0.985064i | \(0.444916\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0000 | 0.611329 | ||||||||
\(686\) | −0.500000 | − | 0.866025i | −0.0190901 | − | 0.0330650i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.00000 | − | 8.66025i | 0.190623 | − | 0.330169i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.00000 | + | 3.46410i | 0.0760836 | + | 0.131781i | 0.901557 | − | 0.432660i | \(-0.142425\pi\) |
−0.825473 | + | 0.564441i | \(0.809092\pi\) | |||||||
\(692\) | −7.00000 | −0.266100 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.00000 | −0.113878 | ||||||||
\(695\) | −10.0000 | − | 17.3205i | −0.379322 | − | 0.657004i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.00000 | − | 15.5885i | 0.340899 | − | 0.590455i | ||||
\(698\) | −13.0000 | + | 22.5167i | −0.492057 | + | 0.852268i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.00000 | − | 3.46410i | −0.0755929 | − | 0.130931i | ||||
\(701\) | 20.0000 | 0.755390 | 0.377695 | − | 0.925930i | \(-0.376717\pi\) | ||||
0.377695 | + | 0.925930i | \(0.376717\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.00000 | −0.188579 | ||||||||
\(704\) | 2.50000 | + | 4.33013i | 0.0942223 | + | 0.163198i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.50000 | − | 2.59808i | 0.0564532 | − | 0.0977799i | ||||
\(707\) | 7.00000 | − | 12.1244i | 0.263262 | − | 0.455983i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.5000 | + | 21.6506i | 0.469447 | + | 0.813107i | 0.999390 | − | 0.0349269i | \(-0.0111198\pi\) |
−0.529943 | + | 0.848034i | \(0.677787\pi\) | |||||||
\(710\) | 13.0000 | 0.487881 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.00000 | −0.337289 | ||||||||
\(713\) | 4.50000 | + | 7.79423i | 0.168526 | + | 0.291896i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | − | 20.7846i | 0.448461 | − | 0.776757i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.00000 | − | 3.46410i | −0.0746393 | − | 0.129279i | ||||
\(719\) | 30.0000 | 1.11881 | 0.559406 | − | 0.828894i | \(-0.311029\pi\) | ||||
0.559406 | + | 0.828894i | \(0.311029\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.00000 | 0.0372419 | ||||||||
\(722\) | −9.00000 | − | 15.5885i | −0.334945 | − | 0.580142i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.00000 | + | 15.5885i | −0.334482 | + | 0.579340i | ||||
\(725\) | −8.00000 | + | 13.8564i | −0.297113 | + | 0.514614i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.0000 | + | 27.7128i | 0.593407 | + | 1.02781i | 0.993770 | + | 0.111454i | \(0.0355509\pi\) |
−0.400362 | + | 0.916357i | \(0.631116\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.00000 | −0.0740233 | ||||||||
\(731\) | −10.0000 | − | 17.3205i | −0.369863 | − | 0.640622i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.00000 | − | 15.5885i | 0.332423 | − | 0.575773i | −0.650564 | − | 0.759452i | \(-0.725467\pi\) |
0.982986 | + | 0.183679i | \(0.0588007\pi\) | |||||||
\(734\) | 17.5000 | − | 30.3109i | 0.645937 | − | 1.11880i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | + | 0.866025i | 0.0184302 | + | 0.0319221i | ||||
\(737\) | 40.0000 | 1.47342 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.0000 | 0.662141 | 0.331070 | − | 0.943606i | \(-0.392590\pi\) | ||||
0.331070 | + | 0.943606i | \(0.392590\pi\) | |||||||
\(740\) | 2.50000 | + | 4.33013i | 0.0919018 | + | 0.159179i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.00000 | − | 10.3923i | 0.220267 | − | 0.381514i | ||||
\(743\) | −10.5000 | + | 18.1865i | −0.385208 | + | 0.667199i | −0.991798 | − | 0.127815i | \(-0.959204\pi\) |
0.606590 | + | 0.795015i | \(0.292537\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.00000 | − | 5.19615i | −0.109911 | − | 0.190372i | ||||
\(746\) | 17.0000 | 0.622414 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.0000 | 0.365636 | ||||||||
\(749\) | −6.00000 | − | 10.3923i | −0.219235 | − | 0.379727i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.00000 | + | 15.5885i | −0.328415 | + | 0.568831i | −0.982197 | − | 0.187851i | \(-0.939848\pi\) |
0.653783 | + | 0.756682i | \(0.273181\pi\) | |||||||
\(752\) | 3.00000 | − | 5.19615i | 0.109399 | − | 0.189484i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.0000 | −0.363937 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 42.0000 | 1.52652 | 0.763258 | − | 0.646094i | \(-0.223599\pi\) | ||||
0.763258 | + | 0.646094i | \(0.223599\pi\) | |||||||
\(758\) | −7.00000 | − | 12.1244i | −0.254251 | − | 0.440376i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.500000 | − | 0.866025i | 0.0181369 | − | 0.0314140i | ||||
\(761\) | −11.0000 | + | 19.0526i | −0.398750 | + | 0.690655i | −0.993572 | − | 0.113203i | \(-0.963889\pi\) |
0.594822 | + | 0.803857i | \(0.297222\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.50000 | + | 6.06218i | 0.126709 | + | 0.219466i | ||||
\(764\) | 3.00000 | 0.108536 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.0000 | −0.361315 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.0000 | + | 34.6410i | −0.721218 | + | 1.24919i | 0.239293 | + | 0.970947i | \(0.423084\pi\) |
−0.960512 | + | 0.278240i | \(0.910249\pi\) | |||||||
\(770\) | −2.50000 | + | 4.33013i | −0.0900937 | + | 0.156047i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.00000 | + | 8.66025i | 0.179954 | + | 0.311689i | ||||
\(773\) | −19.0000 | −0.683383 | −0.341691 | − | 0.939812i | \(-0.611000\pi\) | ||||
−0.341691 | + | 0.939812i | \(0.611000\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 36.0000 | 1.29316 | ||||||||
\(776\) | 8.00000 | + | 13.8564i | 0.287183 | + | 0.497416i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 10.0000 | − | 17.3205i | 0.358517 | − | 0.620970i | ||||
\(779\) | 4.50000 | − | 7.79423i | 0.161229 | − | 0.279257i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 32.5000 | + | 56.2917i | 1.16294 | + | 2.01427i | ||||
\(782\) | 2.00000 | 0.0715199 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 4.00000 | + | 6.92820i | 0.142766 | + | 0.247278i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(788\) | −5.00000 | + | 8.66025i | −0.178118 | + | 0.308509i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.00000 | − | 5.19615i | −0.106735 | − | 0.184871i | ||||
\(791\) | −2.00000 | −0.0711118 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −15.0000 | − | 25.9808i | −0.532330 | − | 0.922023i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.50000 | − | 11.2583i | 0.230386 | − | 0.399041i | ||||
\(797\) | −16.5000 | + | 28.5788i | −0.584460 | + | 1.01231i | 0.410483 | + | 0.911868i | \(0.365360\pi\) |
−0.994943 | + | 0.100446i | \(0.967973\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.00000 | − | 10.3923i | −0.212265 | − | 0.367653i | ||||
\(800\) | 4.00000 | 0.141421 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −12.0000 | −0.423735 | ||||||||
\(803\) | −5.00000 | − | 8.66025i | −0.176446 | − | 0.305614i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.500000 | + | 0.866025i | −0.0176227 | + | 0.0305234i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.00000 | + | 12.1244i | 0.246259 | + | 0.426533i | ||||
\(809\) | 20.0000 | 0.703163 | 0.351581 | − | 0.936157i | \(-0.385644\pi\) | ||||
0.351581 | + | 0.936157i | \(0.385644\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.00000 | 0.0351147 | 0.0175574 | − | 0.999846i | \(-0.494411\pi\) | ||||
0.0175574 | + | 0.999846i | \(0.494411\pi\) | |||||||
\(812\) | −2.00000 | − | 3.46410i | −0.0701862 | − | 0.121566i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −12.5000 | + | 21.6506i | −0.438125 | + | 0.758854i | ||||
\(815\) | −2.00000 | + | 3.46410i | −0.0700569 | + | 0.121342i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.00000 | − | 8.66025i | −0.174928 | − | 0.302984i | ||||
\(818\) | 10.0000 | 0.349642 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.00000 | −0.314294 | ||||||||
\(821\) | −5.00000 | − | 8.66025i | −0.174501 | − | 0.302245i | 0.765487 | − | 0.643451i | \(-0.222498\pi\) |
−0.939989 | + | 0.341206i | \(0.889165\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.0000 | + | 29.4449i | −0.592583 | + | 1.02638i | 0.401300 | + | 0.915947i | \(0.368558\pi\) |
−0.993883 | + | 0.110437i | \(0.964775\pi\) | |||||||
\(824\) | −0.500000 | + | 0.866025i | −0.0174183 | + | 0.0301694i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.00000 | − | 12.1244i | −0.243561 | − | 0.421860i | ||||
\(827\) | 33.0000 | 1.14752 | 0.573761 | − | 0.819023i | \(-0.305484\pi\) | ||||
0.573761 | + | 0.819023i | \(0.305484\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.0000 | 0.347314 | 0.173657 | − | 0.984806i | \(-0.444442\pi\) | ||||
0.173657 | + | 0.984806i | \(0.444442\pi\) | |||||||
\(830\) | −2.00000 | − | 3.46410i | −0.0694210 | − | 0.120241i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.00000 | − | 1.73205i | 0.0346479 | − | 0.0600120i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.00000 | − | 8.66025i | −0.173032 | − | 0.299700i | ||||
\(836\) | 5.00000 | 0.172929 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.00000 | 0.207267 | ||||||||
\(839\) | −2.00000 | − | 3.46410i | −0.0690477 | − | 0.119594i | 0.829435 | − | 0.558604i | \(-0.188663\pi\) |
−0.898482 | + | 0.439010i | \(0.855329\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.50000 | − | 11.2583i | 0.224138 | − | 0.388218i | ||||
\(842\) | −13.5000 | + | 23.3827i | −0.465241 | + | 0.805821i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 11.0000 | + | 19.0526i | 0.378636 | + | 0.655816i | ||||
\(845\) | 13.0000 | 0.447214 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.0000 | −0.481046 | ||||||||
\(848\) | 6.00000 | + | 10.3923i | 0.206041 | + | 0.356873i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.00000 | − | 6.92820i | 0.137199 | − | 0.237635i | ||||
\(851\) | −2.50000 | + | 4.33013i | −0.0856989 | + | 0.148435i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.00000 | + | 13.8564i | 0.273915 | + | 0.474434i | 0.969861 | − | 0.243660i | \(-0.0783480\pi\) |
−0.695946 | + | 0.718094i | \(0.745015\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 12.0000 | 0.410152 | ||||||||
\(857\) | 1.50000 | + | 2.59808i | 0.0512390 | + | 0.0887486i | 0.890507 | − | 0.454969i | \(-0.150350\pi\) |
−0.839268 | + | 0.543718i | \(0.817016\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.5000 | − | 21.6506i | 0.426494 | − | 0.738710i | −0.570064 | − | 0.821600i | \(-0.693082\pi\) |
0.996559 | + | 0.0828900i | \(0.0264150\pi\) | |||||||
\(860\) | −5.00000 | + | 8.66025i | −0.170499 | + | 0.295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.50000 | + | 12.9904i | 0.255451 | + | 0.442454i | ||||
\(863\) | −16.0000 | −0.544646 | −0.272323 | − | 0.962206i | \(-0.587792\pi\) | ||||
−0.272323 | + | 0.962206i | \(0.587792\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.00000 | 0.238007 | ||||||||
\(866\) | −2.00000 | − | 3.46410i | −0.0679628 | − | 0.117715i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.50000 | + | 7.79423i | −0.152740 | + | 0.264553i | ||||
\(869\) | 15.0000 | − | 25.9808i | 0.508840 | − | 0.881337i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −7.00000 | −0.237050 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.00000 | 0.0338255 | ||||||||
\(875\) | 4.50000 | + | 7.79423i | 0.152128 | + | 0.263493i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.0000 | − | 43.3013i | 0.844190 | − | 1.46218i | −0.0421327 | − | 0.999112i | \(-0.513415\pi\) |
0.886323 | − | 0.463068i | \(-0.153251\pi\) | |||||||
\(878\) | 12.0000 | − | 20.7846i | 0.404980 | − | 0.701447i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.50000 | − | 4.33013i | −0.0842750 | − | 0.145969i | ||||
\(881\) | 15.0000 | 0.505363 | 0.252681 | − | 0.967550i | \(-0.418688\pi\) | ||||
0.252681 | + | 0.967550i | \(0.418688\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.0000 | 1.07689 | 0.538443 | − | 0.842662i | \(-0.319013\pi\) | ||||
0.538443 | + | 0.842662i | \(0.319013\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.50000 | + | 9.52628i | −0.184776 | + | 0.320042i | ||||
\(887\) | 18.0000 | − | 31.1769i | 0.604381 | − | 1.04682i | −0.387768 | − | 0.921757i | \(-0.626754\pi\) |
0.992149 | − | 0.125061i | \(-0.0399128\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 9.00000 | 0.301681 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.00000 | 0.167412 | ||||||||
\(893\) | −3.00000 | − | 5.19615i | −0.100391 | − | 0.173883i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.0000 | + | 20.7846i | −0.401116 | + | 0.694753i | ||||
\(896\) | −0.500000 | + | 0.866025i | −0.0167038 | + | 0.0289319i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.00000 | − | 8.66025i | −0.166852 | − | 0.288996i | ||||
\(899\) | 36.0000 | 1.20067 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.0000 | 0.799556 | ||||||||
\(902\) | −22.5000 | − | 38.9711i | −0.749168 | − | 1.29760i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.00000 | − | 1.73205i | 0.0332595 | − | 0.0576072i | ||||
\(905\) | 9.00000 | − | 15.5885i | 0.299170 | − | 0.518178i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.0000 | − | 25.9808i | −0.498067 | − | 0.862677i | 0.501931 | − | 0.864908i | \(-0.332623\pi\) |
−0.999998 | + | 0.00223080i | \(0.999290\pi\) | |||||||
\(908\) | −6.00000 | −0.199117 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.0000 | − | 20.7846i | −0.397578 | − | 0.688625i | 0.595849 | − | 0.803097i | \(-0.296816\pi\) |
−0.993426 | + | 0.114472i | \(0.963482\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.0000 | − | 17.3205i | 0.330952 | − | 0.573225i | ||||
\(914\) | 6.50000 | − | 11.2583i | 0.215001 | − | 0.372392i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.0000 | − | 24.2487i | −0.462573 | − | 0.801200i | ||||
\(917\) | 22.0000 | 0.726504 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.00000 | 0.131948 | 0.0659739 | − | 0.997821i | \(-0.478985\pi\) | ||||
0.0659739 | + | 0.997821i | \(0.478985\pi\) | |||||||
\(920\) | −0.500000 | − | 0.866025i | −0.0164845 | − | 0.0285520i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.5000 | + | 26.8468i | −0.510465 | + | 0.884152i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.0000 | + | 17.3205i | 0.328798 | + | 0.569495i | ||||
\(926\) | 14.0000 | 0.460069 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.00000 | 0.131306 | ||||||||
\(929\) | −21.0000 | − | 36.3731i | −0.688988 | − | 1.19336i | −0.972166 | − | 0.234294i | \(-0.924722\pi\) |
0.283178 | − | 0.959067i | \(-0.408611\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.500000 | − | 0.866025i | 0.0163868 | − | 0.0283828i | ||||
\(932\) | 7.00000 | − | 12.1244i | 0.229293 | − | 0.397146i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.0000 | + | 22.5167i | 0.425373 | + | 0.736768i | ||||
\(935\) | −10.0000 | −0.327035 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.0000 | −0.914720 | −0.457360 | − | 0.889282i | \(-0.651205\pi\) | ||||
−0.457360 | + | 0.889282i | \(0.651205\pi\) | |||||||
\(938\) | 4.00000 | + | 6.92820i | 0.130605 | + | 0.226214i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.00000 | + | 5.19615i | −0.0978492 | + | 0.169480i | ||||
\(941\) | 6.50000 | − | 11.2583i | 0.211894 | − | 0.367011i | −0.740413 | − | 0.672152i | \(-0.765370\pi\) |
0.952307 | + | 0.305141i | \(0.0987035\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.50000 | − | 7.79423i | −0.146540 | − | 0.253815i | ||||
\(944\) | 14.0000 | 0.455661 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −50.0000 | −1.62564 | ||||||||
\(947\) | −8.50000 | − | 14.7224i | −0.276213 | − | 0.478415i | 0.694228 | − | 0.719756i | \(-0.255746\pi\) |
−0.970440 | + | 0.241341i | \(0.922413\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 2.00000 | − | 3.46410i | 0.0648886 | − | 0.112390i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.00000 | + | 1.73205i | 0.0324102 | + | 0.0561361i | ||||
\(953\) | −44.0000 | −1.42530 | −0.712650 | − | 0.701520i | \(-0.752505\pi\) | ||||
−0.712650 | + | 0.701520i | \(0.752505\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.00000 | −0.0970777 | ||||||||
\(956\) | 12.0000 | + | 20.7846i | 0.388108 | + | 0.672222i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.0000 | + | 27.7128i | −0.516937 | + | 0.895360i | ||||
\(959\) | −8.00000 | + | 13.8564i | −0.258333 | + | 0.447447i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.0000 | − | 43.3013i | −0.806452 | − | 1.39682i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.0000 | 0.450910 | ||||||||
\(965\) | −5.00000 | − | 8.66025i | −0.160956 | − | 0.278783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.00000 | + | 1.73205i | −0.0321578 | + | 0.0556990i | −0.881656 | − | 0.471892i | \(-0.843571\pi\) |
0.849499 | + | 0.527591i | \(0.176905\pi\) | |||||||
\(968\) | 7.00000 | − | 12.1244i | 0.224989 | − | 0.389692i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.00000 | − | 13.8564i | −0.256865 | − | 0.444902i | ||||
\(971\) | −36.0000 | −1.15529 | −0.577647 | − | 0.816286i | \(-0.696029\pi\) | ||||
−0.577647 | + | 0.816286i | \(0.696029\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.0000 | 0.641171 | ||||||||
\(974\) | 13.0000 | + | 22.5167i | 0.416547 | + | 0.721480i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 30.0000 | − | 51.9615i | 0.959785 | − | 1.66240i | 0.236768 | − | 0.971566i | \(-0.423912\pi\) |
0.723017 | − | 0.690830i | \(-0.242755\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 22.5000 | + | 38.9711i | 0.719103 | + | 1.24552i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.00000 | 0.287202 | ||||||||
\(983\) | −15.0000 | − | 25.9808i | −0.478426 | − | 0.828658i | 0.521268 | − | 0.853393i | \(-0.325459\pi\) |
−0.999694 | + | 0.0247352i | \(0.992126\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.00000 | − | 8.66025i | 0.159313 | − | 0.275939i | ||||
\(986\) | 4.00000 | − | 6.92820i | 0.127386 | − | 0.220639i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.0000 | −0.317982 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.00000 | −0.127064 | −0.0635321 | − | 0.997980i | \(-0.520237\pi\) | ||||
−0.0635321 | + | 0.997980i | \(0.520237\pi\) | |||||||
\(992\) | −4.50000 | − | 7.79423i | −0.142875 | − | 0.247467i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.50000 | + | 11.2583i | −0.206167 | + | 0.357093i | ||||
\(995\) | −6.50000 | + | 11.2583i | −0.206064 | + | 0.356913i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.0000 | − | 32.9090i | −0.601736 | − | 1.04224i | −0.992558 | − | 0.121771i | \(-0.961143\pi\) |
0.390822 | − | 0.920466i | \(-0.372191\pi\) | |||||||
\(998\) | −10.0000 | −0.316544 | ||||||||
\(999\) | 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 | 1134.2.f.n.757.1 | 2 | ||
3.2 | odd | 2 | 1134.2.f.c.757.1 | 2 | |||
9.2 | odd | 6 | 1134.2.f.c.379.1 | 2 | |||
9.4 | even | 3 | 378.2.a.c.1.1 | ✓ | 1 | ||
9.5 | odd | 6 | 378.2.a.f.1.1 | yes | 1 | ||
9.7 | even | 3 | inner | 1134.2.f.n.379.1 | 2 | ||
36.23 | even | 6 | 3024.2.a.t.1.1 | 1 | |||
36.31 | odd | 6 | 3024.2.a.m.1.1 | 1 | |||
45.4 | even | 6 | 9450.2.a.dc.1.1 | 1 | |||
45.14 | odd | 6 | 9450.2.a.bx.1.1 | 1 | |||
63.13 | odd | 6 | 2646.2.a.i.1.1 | 1 | |||
63.41 | even | 6 | 2646.2.a.v.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.a.c.1.1 | ✓ | 1 | 9.4 | even | 3 | ||
378.2.a.f.1.1 | yes | 1 | 9.5 | odd | 6 | ||
1134.2.f.c.379.1 | 2 | 9.2 | odd | 6 | |||
1134.2.f.c.757.1 | 2 | 3.2 | odd | 2 | |||
1134.2.f.n.379.1 | 2 | 9.7 | even | 3 | inner | ||
1134.2.f.n.757.1 | 2 | 1.1 | even | 1 | trivial | ||
2646.2.a.i.1.1 | 1 | 63.13 | odd | 6 | |||
2646.2.a.v.1.1 | 1 | 63.41 | even | 6 | |||
3024.2.a.m.1.1 | 1 | 36.31 | odd | 6 | |||
3024.2.a.t.1.1 | 1 | 36.23 | even | 6 | |||
9450.2.a.bx.1.1 | 1 | 45.14 | odd | 6 | |||
9450.2.a.dc.1.1 | 1 | 45.4 | even | 6 |