Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 30 x^{15} + 192 x^{14} - 207 x^{13} + 1178 x^{12} - 705 x^{11} + 4413 x^{10} - 2224 x^{9} + 11430 x^{8} - 4101 x^{7} + 19237 x^{6} - 7125 x^{5} + \cdots + 5329 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 61.1 | ||
Root | \(0.793225 - 1.37391i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.61 |
Dual form | 380.2.u.b.81.1 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.275484 | − | 1.56235i | −0.159051 | − | 0.902023i | −0.954988 | − | 0.296644i | \(-0.904133\pi\) |
0.795937 | − | 0.605379i | \(-0.206978\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.778817 | − | 1.34895i | 0.294365 | − | 0.509855i | −0.680472 | − | 0.732774i | \(-0.738225\pi\) |
0.974837 | + | 0.222919i | \(0.0715585\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.454036 | − | 0.165255i | 0.151345 | − | 0.0550851i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.44481 | − | 2.50249i | −0.435627 | − | 0.754528i | 0.561720 | − | 0.827328i | \(-0.310140\pi\) |
−0.997347 | + | 0.0727995i | \(0.976807\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.501215 | + | 2.84253i | −0.139012 | + | 0.788376i | 0.832969 | + | 0.553319i | \(0.186639\pi\) |
−0.971981 | + | 0.235057i | \(0.924472\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.21529 | − | 1.01975i | −0.313787 | − | 0.263299i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.43909 | − | 1.25173i | −0.834101 | − | 0.303588i | −0.110560 | − | 0.993869i | \(-0.535264\pi\) |
−0.723541 | + | 0.690281i | \(0.757487\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.58062 | − | 2.48579i | 0.821452 | − | 0.570278i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.32208 | − | 0.845169i | −0.506720 | − | 0.184431i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.02545 | − | 0.860452i | −0.213820 | − | 0.179417i | 0.529587 | − | 0.848256i | \(-0.322347\pi\) |
−0.743407 | + | 0.668839i | \(0.766791\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.76294 | − | 4.78556i | −0.531728 | − | 0.920981i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.25138 | − | 1.54738i | 0.789462 | − | 0.287341i | 0.0843498 | − | 0.996436i | \(-0.473119\pi\) |
0.705113 | + | 0.709095i | \(0.250896\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.0994869 | + | 0.172316i | −0.0178684 | + | 0.0309489i | −0.874821 | − | 0.484446i | \(-0.839021\pi\) |
0.856953 | + | 0.515395i | \(0.172355\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.51173 | + | 2.94670i | −0.611315 | + | 0.512954i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.270480 | − | 1.53397i | −0.0457195 | − | 0.259288i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.14008 | −1.00942 | −0.504711 | − | 0.863288i | \(-0.668401\pi\) | ||||
−0.504711 | + | 0.863288i | \(0.668401\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.57910 | 0.733243 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.240699 | + | 1.36507i | 0.0375909 | + | 0.213188i | 0.997817 | − | 0.0660337i | \(-0.0210345\pi\) |
−0.960227 | + | 0.279222i | \(0.909923\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.02726 | − | 0.861973i | 0.156656 | − | 0.131450i | −0.561091 | − | 0.827754i | \(-0.689618\pi\) |
0.717746 | + | 0.696305i | \(0.245174\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.241587 | − | 0.418441i | 0.0360137 | − | 0.0623776i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.00724 | + | 0.366604i | −0.146920 | + | 0.0534747i | −0.414434 | − | 0.910080i | \(-0.636020\pi\) |
0.267513 | + | 0.963554i | \(0.413798\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.28689 | + | 3.96101i | 0.326698 | + | 0.565858i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.00822 | + | 5.71788i | −0.141179 | + | 0.800664i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.96388 | + | 5.00429i | 0.819202 | + | 0.687392i | 0.952785 | − | 0.303645i | \(-0.0982038\pi\) |
−0.133583 | + | 0.991038i | \(0.542648\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.71536 | − | 0.988309i | −0.366139 | − | 0.133264i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.87007 | − | 4.90939i | −0.645056 | − | 0.650265i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.57626 | + | 1.66562i | 0.595779 | + | 0.216846i | 0.622269 | − | 0.782803i | \(-0.286211\pi\) |
−0.0264905 | + | 0.999649i | \(0.508433\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.26890 | + | 6.09933i | 0.930687 | + | 0.780939i | 0.975941 | − | 0.218036i | \(-0.0699651\pi\) |
−0.0452536 | + | 0.998976i | \(0.514410\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.130689 | − | 0.741175i | 0.0164653 | − | 0.0933793i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.44319 | + | 2.49968i | 0.179006 | + | 0.310047i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.36834 | − | 2.68185i | 0.900185 | − | 0.327641i | 0.149858 | − | 0.988707i | \(-0.452118\pi\) |
0.750327 | + | 0.661067i | \(0.229896\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.06183 | + | 1.83915i | −0.127830 | + | 0.221407i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.21663 | − | 1.02087i | 0.144387 | − | 0.121155i | −0.567733 | − | 0.823213i | \(-0.692180\pi\) |
0.712120 | + | 0.702058i | \(0.247735\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.01200 | + | 11.4106i | 0.235486 | + | 1.33551i | 0.841587 | + | 0.540121i | \(0.181622\pi\) |
−0.606101 | + | 0.795388i | \(0.707267\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.58645 | −0.183188 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.50097 | −0.512933 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.38517 | + | 13.5270i | 0.268353 | + | 1.52191i | 0.759314 | + | 0.650724i | \(0.225534\pi\) |
−0.490962 | + | 0.871181i | \(0.663354\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.60516 | + | 4.70329i | −0.622796 | + | 0.522588i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.84996 | − | 10.1324i | 0.642116 | − | 1.11218i | −0.342843 | − | 0.939393i | \(-0.611390\pi\) |
0.984960 | − | 0.172785i | \(-0.0552767\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.43909 | + | 1.25173i | −0.373021 | + | 0.135769i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.58873 | − | 6.21587i | −0.384753 | − | 0.666411i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.54772 | + | 14.4488i | −0.270058 | + | 1.53157i | 0.484178 | + | 0.874970i | \(0.339119\pi\) |
−0.754236 | + | 0.656604i | \(0.771992\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.44408 | + | 2.88993i | 0.361038 | + | 0.302946i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.296625 | + | 0.107963i | 0.0307586 | + | 0.0111952i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.14509 | − | 4.20580i | 0.117483 | − | 0.431506i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.990001 | − | 0.360331i | −0.100519 | − | 0.0365861i | 0.291271 | − | 0.956641i | \(-0.405922\pi\) |
−0.391790 | + | 0.920055i | \(0.628144\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.06955 | − | 0.897455i | −0.107493 | − | 0.0901976i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.84835 | − | 16.1538i | 0.283421 | − | 1.60736i | −0.427450 | − | 0.904039i | \(-0.640588\pi\) |
0.710871 | − | 0.703322i | \(-0.248301\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.95403 | + | 12.0447i | 0.685201 | + | 1.18680i | 0.973374 | + | 0.229225i | \(0.0736191\pi\) |
−0.288172 | + | 0.957579i | \(0.593048\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.32208 | + | 0.845169i | −0.226612 | + | 0.0824800i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.75086 | + | 4.76464i | −0.265936 | + | 0.460615i | −0.967808 | − | 0.251688i | \(-0.919014\pi\) |
0.701872 | + | 0.712303i | \(0.252348\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.60334 | − | 1.34536i | 0.153572 | − | 0.128862i | −0.562764 | − | 0.826617i | \(-0.690262\pi\) |
0.716336 | + | 0.697755i | \(0.245818\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.69149 | + | 9.59294i | 0.160550 | + | 0.910522i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.81671 | −0.735334 | −0.367667 | − | 0.929958i | \(-0.619843\pi\) | ||||
−0.367667 | + | 0.929958i | \(0.619843\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.33863 | −0.124828 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.242174 | + | 1.37344i | 0.0223890 | + | 0.126974i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.36693 | + | 3.66429i | −0.400316 | + | 0.335905i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.32504 | − | 2.29504i | 0.120458 | − | 0.208640i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.06641 | − | 0.752112i | 0.186322 | − | 0.0678156i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.329089 | + | 1.86636i | −0.0292019 | + | 0.165612i | −0.995921 | − | 0.0902270i | \(-0.971241\pi\) |
0.966719 | + | 0.255839i | \(0.0823519\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.62970 | − | 1.36748i | −0.143487 | − | 0.120400i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −16.1017 | − | 5.86053i | −1.40681 | − | 0.512037i | −0.476618 | − | 0.879110i | \(-0.658138\pi\) |
−0.930192 | + | 0.367073i | \(0.880360\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.564550 | − | 6.76605i | −0.0489527 | − | 0.586691i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.19263 | − | 1.88996i | −0.446911 | − | 0.162662i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.2275 | − | 10.2601i | −1.04466 | − | 0.876575i | −0.0521395 | − | 0.998640i | \(-0.516604\pi\) |
−0.992522 | + | 0.122065i | \(0.961049\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.04738 | + | 5.94001i | −0.0888379 | + | 0.503825i | 0.907624 | + | 0.419783i | \(0.137894\pi\) |
−0.996462 | + | 0.0840415i | \(0.973217\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.850241 | + | 1.47266i | 0.0716032 | + | 0.124020i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.83756 | − | 2.85264i | 0.655410 | − | 0.238550i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.26211 | − | 3.91810i | 0.187858 | − | 0.325380i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.55847 | − | 4.66411i | 0.458455 | − | 0.384690i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.283411 | + | 1.60730i | 0.0232179 | + | 0.131675i | 0.994214 | − | 0.107422i | \(-0.0342596\pi\) |
−0.970996 | + | 0.239097i | \(0.923148\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.4058 | 1.33508 | 0.667542 | − | 0.744572i | \(-0.267347\pi\) | ||||
0.667542 | + | 0.744572i | \(0.267347\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.76832 | −0.142960 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.0345515 | + | 0.195951i | 0.00277524 | + | 0.0157392i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.71716 | + | 8.15366i | −0.775514 | + | 0.650733i | −0.942115 | − | 0.335291i | \(-0.891165\pi\) |
0.166601 | + | 0.986024i | \(0.446721\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.17549 | − | 10.6963i | 0.489748 | − | 0.848269i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.95934 | + | 0.713142i | −0.154418 | + | 0.0562035i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.21515 | − | 10.7650i | −0.486808 | − | 0.843177i | 0.513077 | − | 0.858343i | \(-0.328506\pi\) |
−0.999885 | + | 0.0151660i | \(0.995172\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.796046 | + | 4.51460i | −0.0619721 | + | 0.351461i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −5.44945 | − | 4.57263i | −0.421691 | − | 0.353841i | 0.407115 | − | 0.913377i | \(-0.366535\pi\) |
−0.828806 | + | 0.559536i | \(0.810979\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.38723 | + | 1.59682i | 0.337480 | + | 0.122833i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.21494 | − | 1.72035i | 0.0929089 | − | 0.131559i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 16.2471 | + | 5.91344i | 1.23524 | + | 0.449591i | 0.875389 | − | 0.483419i | \(-0.160605\pi\) |
0.359851 | + | 0.933010i | \(0.382827\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.19322 | − | 1.00123i | −0.0901987 | − | 0.0756857i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.34160 | − | 7.60857i | 0.100841 | − | 0.571895i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.59949 | + | 2.77040i | 0.119551 | + | 0.207069i | 0.919590 | − | 0.392879i | \(-0.128521\pi\) |
−0.800039 | + | 0.599949i | \(0.795188\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.4111 | − | 7.06505i | 1.44281 | − | 0.525141i | 0.502238 | − | 0.864729i | \(-0.332510\pi\) |
0.940574 | + | 0.339589i | \(0.110288\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.52681 | − | 13.0368i | 0.556398 | − | 0.963710i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.70357 | + | 3.94677i | −0.345814 | + | 0.290172i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.83641 | + | 10.4148i | 0.134291 | + | 0.761604i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.60730 | −0.626089 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.892691 | 0.0645929 | 0.0322964 | − | 0.999478i | \(-0.489718\pi\) | ||||
0.0322964 | + | 0.999478i | \(0.489718\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.351812 | + | 1.99522i | 0.0253240 | + | 0.143619i | 0.994848 | − | 0.101376i | \(-0.0323246\pi\) |
−0.969524 | + | 0.244996i | \(0.921213\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.50780 | − | 2.94339i | 0.251199 | − | 0.210781i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.4101 | − | 18.0308i | 0.741687 | − | 1.28464i | −0.210040 | − | 0.977693i | \(-0.567360\pi\) |
0.951727 | − | 0.306946i | \(-0.0993071\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.28673 | + | 2.28818i | −0.445655 | + | 0.162205i | −0.555093 | − | 0.831789i | \(-0.687317\pi\) |
0.109438 | + | 0.993994i | \(0.465095\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.21985 | − | 10.7731i | −0.438715 | − | 0.759876i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.22371 | − | 6.94003i | 0.0858879 | − | 0.487095i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.06184 | + | 0.890988i | 0.0741620 | + | 0.0622293i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.607784 | − | 0.221215i | −0.0422439 | − | 0.0153755i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −11.3940 | − | 5.36898i | −0.788138 | − | 0.371380i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −22.1048 | − | 8.04549i | −1.52176 | − | 0.553874i | −0.560170 | − | 0.828377i | \(-0.689264\pi\) |
−0.961586 | + | 0.274503i | \(0.911487\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.93012 | − | 1.61956i | −0.132249 | − | 0.110970i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.232861 | − | 1.32062i | 0.0158810 | − | 0.0900655i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.154964 | + | 0.268406i | 0.0105197 | + | 0.0182206i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 17.2731 | − | 6.28688i | 1.16720 | − | 0.424828i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.28179 | − | 9.14833i | 0.355292 | − | 0.615383i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.58190 | + | 8.04017i | −0.641651 | + | 0.538409i | −0.904525 | − | 0.426421i | \(-0.859774\pi\) |
0.262874 | + | 0.964830i | \(0.415330\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.0839024 | − | 0.475834i | −0.00559349 | − | 0.0317223i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −18.0828 | −1.20020 | −0.600100 | − | 0.799925i | \(-0.704873\pi\) | ||||
−0.600100 | + | 0.799925i | \(0.704873\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.0907 | 0.798974 | 0.399487 | − | 0.916739i | \(-0.369188\pi\) | ||||
0.399487 | + | 0.916739i | \(0.369188\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.23995 | + | 7.03209i | 0.0815825 | + | 0.462678i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.83465 | + | 4.05675i | −0.316729 | + | 0.265767i | −0.787266 | − | 0.616613i | \(-0.788504\pi\) |
0.470538 | + | 0.882380i | \(0.344060\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.535939 | + | 0.928273i | −0.0349608 | + | 0.0605539i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 20.4768 | − | 7.45294i | 1.33011 | − | 0.484121i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.77206 | − | 15.1937i | −0.567418 | − | 0.982796i | −0.996820 | − | 0.0796830i | \(-0.974609\pi\) |
0.429403 | − | 0.903113i | \(-0.358724\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.58485 | + | 8.98812i | −0.102089 | + | 0.578976i | 0.890254 | + | 0.455464i | \(0.150527\pi\) |
−0.992343 | + | 0.123512i | \(0.960584\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.80691 | − | 3.19437i | −0.244213 | − | 0.204919i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.29795 | + | 1.56432i | 0.274586 | + | 0.0999410i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.27126 | + | 11.4240i | 0.335402 | + | 0.726889i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.4419 | − | 6.34835i | −1.10534 | − | 0.402310i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.49910 | + | 3.77519i | 0.283981 | + | 0.238288i | 0.773639 | − | 0.633626i | \(-0.218434\pi\) |
−0.489659 | + | 0.871914i | \(0.662879\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.671693 | + | 3.80936i | −0.0422290 | + | 0.239492i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.90305 | + | 5.02822i | 0.181796 | + | 0.314880i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.31369 | − | 3.38991i | 0.580972 | − | 0.211457i | −0.0347819 | − | 0.999395i | \(-0.511074\pi\) |
0.615754 | + | 0.787938i | \(0.288851\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.78200 | + | 8.28266i | −0.297139 | + | 0.514659i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.67457 | − | 1.40513i | 0.103653 | − | 0.0869753i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.42509 | − | 8.08208i | −0.0878748 | − | 0.498363i | −0.996699 | − | 0.0811836i | \(-0.974130\pi\) |
0.908824 | − | 0.417179i | \(-0.136981\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 7.78530 | 0.478247 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 23.2760 | 1.42447 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.17537 | − | 6.66588i | −0.0716639 | − | 0.406426i | −0.999445 | − | 0.0333020i | \(-0.989398\pi\) |
0.927781 | − | 0.373124i | \(-0.121713\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.4073 | + | 17.1238i | −1.23965 | + | 1.04019i | −0.242104 | + | 0.970250i | \(0.577837\pi\) |
−0.997551 | + | 0.0699434i | \(0.977718\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.56628 | − | 6.17698i | 0.215841 | − | 0.373848i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.71536 | + | 0.988309i | −0.163742 | + | 0.0595973i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.27741 | − | 3.94459i | −0.136836 | − | 0.237007i | 0.789461 | − | 0.613800i | \(-0.210360\pi\) |
−0.926297 | + | 0.376793i | \(0.877027\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.0166944 | + | 0.0946785i | −0.000999466 | + | 0.00566826i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.6515 | − | 10.6159i | −0.754726 | − | 0.633291i | 0.182022 | − | 0.983294i | \(-0.441736\pi\) |
−0.936748 | + | 0.350004i | \(0.886180\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −26.2568 | − | 9.55670i | −1.56081 | − | 0.568087i | −0.589885 | − | 0.807487i | \(-0.700827\pi\) |
−0.970921 | + | 0.239401i | \(0.923049\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.88638 | − | 0.630391i | −0.407914 | − | 0.0373411i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.02888 | + | 0.738450i | 0.119761 | + | 0.0435893i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.76225 | − | 2.31780i | −0.162485 | − | 0.136341i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.290233 | + | 1.64599i | −0.0170138 | + | 0.0964898i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 14.5506 | + | 25.2024i | 0.850055 | + | 1.47234i | 0.881158 | + | 0.472822i | \(0.156765\pi\) |
−0.0311034 | + | 0.999516i | \(0.509902\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.57626 | − | 1.66562i | 0.266440 | − | 0.0969763i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7.98386 | + | 13.8285i | −0.463271 | + | 0.802408i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.95983 | − | 2.48359i | 0.171172 | − | 0.143630i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.362712 | − | 2.05704i | −0.0209064 | − | 0.118566i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −26.0225 | −1.49495 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.48887 | 0.543331 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.58392 | + | 25.9967i | 0.261618 | + | 1.48371i | 0.778496 | + | 0.627650i | \(0.215983\pi\) |
−0.516878 | + | 0.856059i | \(0.672906\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.9024 | − | 14.1828i | 0.961541 | − | 0.806829i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.2032 | + | 22.8685i | −0.748682 | + | 1.29676i | 0.199772 | + | 0.979842i | \(0.435980\pi\) |
−0.948455 | + | 0.316913i | \(0.897354\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.12768 | + | 2.95823i | −0.459404 | + | 0.167209i | −0.561346 | − | 0.827581i | \(-0.689716\pi\) |
0.101943 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.376304 | − | 0.651778i | −0.0212024 | − | 0.0367235i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.90441 | + | 22.1430i | −0.219293 | + | 1.24367i | 0.654006 | + | 0.756489i | \(0.273087\pi\) |
−0.873299 | + | 0.487184i | \(0.838024\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.0147 | − | 8.40337i | −0.560718 | − | 0.470498i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.20185 | + | 2.98523i | 0.457782 | + | 0.166619i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.4256 | + | 4.06687i | −0.858303 | + | 0.226287i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.71231 | + | 0.987201i | 0.150452 | + | 0.0547601i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.54361 | − | 2.13434i | −0.140662 | − | 0.118029i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.289922 | + | 1.64423i | −0.0159839 | + | 0.0906492i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.4183 | + | 28.4374i | 0.902433 | + | 1.56306i | 0.824326 | + | 0.566115i | \(0.191554\pi\) |
0.0781074 | + | 0.996945i | \(0.475112\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.78781 | + | 1.01468i | −0.152771 | + | 0.0556042i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.92061 | − | 6.79069i | 0.214206 | − | 0.371015i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.53496 | − | 6.32258i | 0.410455 | − | 0.344413i | −0.414063 | − | 0.910248i | \(-0.635891\pi\) |
0.824518 | + | 0.565835i | \(0.191446\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.15338 | + | 12.2124i | 0.116956 | + | 0.663288i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.574959 | 0.0311358 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0277 | 0.973404 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.368770 | + | 2.09140i | 0.0198539 | + | 0.112597i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.18184 | + | 3.50898i | −0.224493 | + | 0.188372i | −0.748096 | − | 0.663590i | \(-0.769032\pi\) |
0.523603 | + | 0.851962i | \(0.324587\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.6624 | − | 18.4679i | 0.570746 | − | 0.988562i | −0.425743 | − | 0.904844i | \(-0.639987\pi\) |
0.996490 | − | 0.0837176i | \(-0.0266794\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.9879 | − | 5.45516i | 0.799996 | − | 0.291175i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 9.11319 | + | 15.7845i | 0.485046 | + | 0.840125i | 0.999852 | − | 0.0171818i | \(-0.00546940\pi\) |
−0.514806 | + | 0.857307i | \(0.672136\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.275787 | − | 1.56406i | 0.0146372 | − | 0.0830119i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6.92792 | + | 5.81322i | 0.366665 | + | 0.307668i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.89375 | − | 2.87309i | −0.416616 | − | 0.151636i | 0.125203 | − | 0.992131i | \(-0.460042\pi\) |
−0.541819 | + | 0.840495i | \(0.682264\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.64175 | − | 17.8013i | 0.349566 | − | 0.936912i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.95067 | − | 1.43793i | −0.207357 | − | 0.0754716i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.87587 | + | 7.44774i | 0.464584 | + | 0.389832i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.69051 | + | 20.9299i | −0.192643 | + | 1.09253i | 0.723093 | + | 0.690751i | \(0.242720\pi\) |
−0.915736 | + | 0.401781i | \(0.868391\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.334872 | + | 0.580015i | 0.0174327 | + | 0.0301944i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.3953 | − | 4.14755i | 0.591615 | − | 0.215330i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.63332 | − | 11.4892i | 0.343460 | − | 0.594890i | −0.641613 | − | 0.767029i | \(-0.721734\pi\) |
0.985073 | + | 0.172138i | \(0.0550676\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.21529 | + | 1.01975i | −0.0627574 | + | 0.0526597i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.26761 | + | 12.8603i | 0.116788 | + | 0.662337i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.03578 | 0.155937 | 0.0779687 | − | 0.996956i | \(-0.475157\pi\) | ||||
0.0779687 | + | 0.996956i | \(0.475157\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.00656 | 0.154031 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.875551 | + | 4.96550i | 0.0447386 | + | 0.253725i | 0.998972 | − | 0.0453388i | \(-0.0144367\pi\) |
−0.954233 | + | 0.299064i | \(0.903326\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.44795 | + | 2.89317i | −0.175724 | + | 0.147450i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.323967 | − | 0.561127i | 0.0164682 | − | 0.0285237i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 21.1539 | − | 7.69939i | 1.07254 | − | 0.390374i | 0.255417 | − | 0.966831i | \(-0.417787\pi\) |
0.817128 | + | 0.576457i | \(0.195565\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.44955 | + | 4.24275i | 0.123879 | + | 0.214565i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.72044 | + | 26.7709i | −0.238114 | + | 1.35041i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 10.5221 | + | 8.82911i | 0.529426 | + | 0.444241i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.4747 | + | 6.36025i | 0.877028 | + | 0.319212i | 0.741010 | − | 0.671494i | \(-0.234347\pi\) |
0.136018 | + | 0.990706i | \(0.456569\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −10.4154 | + | 2.74597i | −0.521423 | + | 0.137470i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −32.0658 | − | 11.6710i | −1.60129 | − | 0.582822i | −0.621599 | − | 0.783336i | \(-0.713517\pi\) |
−0.979691 | + | 0.200514i | \(0.935739\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.439951 | − | 0.369162i | −0.0219155 | − | 0.0183893i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.27059 | + | 7.20586i | −0.0631360 | + | 0.358062i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.87126 | + | 15.3655i | 0.439732 | + | 0.761638i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.5491 | + | 4.20354i | −0.571068 | + | 0.207852i | −0.611383 | − | 0.791335i | \(-0.709386\pi\) |
0.0403143 | + | 0.999187i | \(0.487164\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.6613 | + | 21.9300i | −0.624536 | + | 1.08173i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.81091 | − | 4.87593i | 0.285936 | − | 0.239929i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.03167 | − | 11.5222i | −0.0997307 | − | 0.565601i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 9.56890 | 0.468591 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4.91902 | 0.240310 | 0.120155 | − | 0.992755i | \(-0.461661\pi\) | ||||
0.120155 | + | 0.992755i | \(0.461661\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.25015 | − | 35.4464i | −0.304614 | − | 1.72755i | −0.625318 | − | 0.780370i | \(-0.715031\pi\) |
0.320704 | − | 0.947179i | \(-0.396081\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.396738 | + | 0.332902i | −0.0192900 | + | 0.0161863i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.82990 | + | 3.16948i | −0.0887632 | + | 0.153742i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13.8888 | − | 5.05512i | 0.672128 | − | 0.244634i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.61594 | − | 11.4591i | −0.319421 | − | 0.553253i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.27126 | − | 18.5522i | 0.157571 | − | 0.893630i | −0.798826 | − | 0.601562i | \(-0.794545\pi\) |
0.956397 | − | 0.292068i | \(-0.0943434\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.8007 | − | 13.2584i | −0.759333 | − | 0.637156i | 0.178620 | − | 0.983918i | \(-0.442837\pi\) |
−0.937953 | + | 0.346762i | \(0.887281\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.74461 | − | 2.45484i | −0.323379 | − | 0.117700i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.81064 | − | 0.531916i | −0.277961 | − | 0.0254450i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.25467 | − | 3.00445i | −0.393974 | − | 0.143395i | 0.137434 | − | 0.990511i | \(-0.456115\pi\) |
−0.531408 | + | 0.847116i | \(0.678337\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.69291 | + | 1.42052i | 0.0806146 | + | 0.0676437i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.60153 | + | 9.08274i | −0.0760911 | + | 0.431534i | 0.922835 | + | 0.385196i | \(0.125866\pi\) |
−0.998926 | + | 0.0463378i | \(0.985245\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.33587 | + | 12.7061i | 0.347753 | + | 0.602327i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.43309 | − | 0.885573i | 0.115081 | − | 0.0418862i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.52581 | + | 16.4992i | −0.449551 | + | 0.778644i | −0.998357 | − | 0.0573052i | \(-0.981749\pi\) |
0.548806 | + | 0.835950i | \(0.315083\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.06831 | − | 2.57462i | 0.144481 | − | 0.121234i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.51953 | − | 25.6316i | −0.212346 | − | 1.20428i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.49593 | 0.210772 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.37197 | 0.298068 | 0.149034 | − | 0.988832i | \(-0.452384\pi\) | ||||
0.149034 | + | 0.988832i | \(0.452384\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.51180 | + | 19.9164i | 0.163917 | + | 0.929617i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −27.1446 | + | 22.7770i | −1.26425 | + | 1.06083i | −0.269034 | + | 0.963131i | \(0.586705\pi\) |
−0.995216 | + | 0.0977013i | \(0.968851\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.2314 | − | 17.7213i | 0.475493 | − | 0.823578i | −0.524113 | − | 0.851649i | \(-0.675603\pi\) |
0.999606 | + | 0.0280707i | \(0.00893637\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.296625 | − | 0.107963i | 0.0137557 | − | 0.00500666i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 17.1827 | + | 29.7614i | 0.795122 | + | 1.37719i | 0.922762 | + | 0.385371i | \(0.125927\pi\) |
−0.127640 | + | 0.991821i | \(0.540740\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.12089 | − | 12.0282i | 0.0979338 | − | 0.555410i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 15.4158 | + | 12.9354i | 0.710322 | + | 0.596031i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.64127 | − | 1.32532i | −0.167426 | − | 0.0609381i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.82625 | − | 3.95788i | −0.0837942 | − | 0.181600i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.53480 | + | 1.28656i | 0.161847 | + | 0.0589076i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −33.2281 | − | 27.8817i | −1.51823 | − | 1.27395i | −0.845378 | − | 0.534169i | \(-0.820624\pi\) |
−0.672852 | − | 0.739777i | \(-0.734931\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.07750 | − | 17.4534i | 0.140322 | − | 0.795805i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.65395 | + | 2.86472i | 0.0752571 | + | 0.130349i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.990001 | + | 0.360331i | −0.0449537 | + | 0.0163618i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.72596 | + | 2.98944i | −0.0782105 | + | 0.135465i | −0.902478 | − | 0.430736i | \(-0.858254\pi\) |
0.824267 | + | 0.566201i | \(0.191587\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −15.1064 | + | 12.6758i | −0.683137 | + | 0.573220i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.83740 | − | 10.4204i | −0.0829206 | − | 0.470266i | −0.997786 | − | 0.0665069i | \(-0.978815\pi\) |
0.914865 | − | 0.403759i | \(-0.132297\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.5578 | −0.745725 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.39619 | −0.0627542 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.429575 | − | 2.43624i | −0.0192691 | − | 0.109280i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −31.6480 | + | 26.5558i | −1.41676 | + | 1.18880i | −0.463709 | + | 0.885988i | \(0.653482\pi\) |
−0.953050 | + | 0.302814i | \(0.902074\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.64281 | + | 9.77364i | −0.252102 | + | 0.436654i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 24.9128 | − | 9.06752i | 1.11081 | − | 0.404301i | 0.279518 | − | 0.960141i | \(-0.409825\pi\) |
0.831289 | + | 0.555840i | \(0.187603\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.20149 | − | 14.2054i | −0.364962 | − | 0.632132i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.28618 | − | 7.29429i | 0.0571213 | − | 0.323951i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −18.4409 | − | 15.4738i | −0.817380 | − | 0.685863i | 0.134977 | − | 0.990849i | \(-0.456904\pi\) |
−0.952357 | + | 0.304985i | \(0.901348\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.9593 | + | 6.17268i | 0.750235 | + | 0.273063i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −21.7889 | − | 10.2672i | −0.962004 | − | 0.453308i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.0693 | + | 4.75684i | 0.575902 | + | 0.209611i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.37269 | + | 1.99092i | 0.104351 | + | 0.0875606i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.76305 | − | 27.0126i | 0.209075 | − | 1.18572i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.0979457 | + | 0.169647i | 0.00429108 | + | 0.00743237i | 0.868163 | − | 0.496279i | \(-0.165301\pi\) |
−0.863872 | + | 0.503712i | \(0.831967\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.2618 | + | 4.09894i | −0.492442 | + | 0.179234i | −0.576292 | − | 0.817244i | \(-0.695501\pi\) |
0.0838494 | + | 0.996478i | \(0.473279\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.23555 | + | 2.14004i | −0.0539240 | + | 0.0933991i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.557837 | − | 0.468081i | 0.0242998 | − | 0.0203899i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.68274 | − | 20.8859i | −0.160119 | − | 0.908082i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.35304 | 0.102113 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.00090 | −0.173298 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.955365 | + | 5.41815i | 0.0413040 | + | 0.234247i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.88769 | − | 3.26216i | 0.167766 | − | 0.140773i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 6.60825 | − | 11.4458i | 0.284637 | − | 0.493006i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.7983 | + | 5.75013i | −0.679224 | + | 0.247217i | −0.658514 | − | 0.752568i | \(-0.728815\pi\) |
−0.0207096 | + | 0.999786i | \(0.506593\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −16.3855 | − | 28.3805i | −0.703169 | − | 1.21793i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.363447 | − | 2.06121i | 0.0155683 | − | 0.0882924i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −34.1677 | − | 28.6701i | −1.46090 | − | 1.22584i | −0.924108 | − | 0.382132i | \(-0.875190\pi\) |
−0.536796 | − | 0.843712i | \(-0.680365\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.30829 | + | 1.56809i | 0.183873 | + | 0.0669244i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 11.3762 | − | 16.1086i | 0.484641 | − | 0.686250i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.1048 | + | 7.31756i | 0.854945 | + | 0.311175i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.46199 | + | 6.26135i | 0.316744 | + | 0.265780i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.97699 | − | 22.5547i | 0.168511 | − | 0.955671i | −0.776860 | − | 0.629674i | \(-0.783189\pi\) |
0.945371 | − | 0.325998i | \(-0.105700\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.93531 | + | 3.35205i | 0.0818548 | + | 0.141777i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 15.7656 | − | 5.73821i | 0.665625 | − | 0.242268i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.97728 | − | 13.8170i | 0.336202 | − | 0.582319i | −0.647513 | − | 0.762054i | \(-0.724191\pi\) |
0.983715 | + | 0.179735i | \(0.0575241\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.98794 | + | 5.02448i | −0.251915 | + | 0.211382i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.97911 | + | 11.2241i | 0.0831148 | + | 0.471367i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.86392 | 0.0781396 | 0.0390698 | − | 0.999236i | \(-0.487561\pi\) | ||||
0.0390698 | + | 0.999236i | \(0.487561\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.4806 | 1.61036 | 0.805181 | − | 0.593029i | \(-0.202068\pi\) | ||||
0.805181 | + | 0.593029i | \(0.202068\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.245922 | − | 1.39470i | −0.0102736 | − | 0.0582642i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.02545 | + | 0.860452i | −0.0427641 | + | 0.0358833i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.0547 | − | 36.4679i | 0.876520 | − | 1.51818i | 0.0213856 | − | 0.999771i | \(-0.493192\pi\) |
0.855135 | − | 0.518406i | \(-0.173474\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.02032 | − | 1.09931i | 0.125520 | − | 0.0456856i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.11209 | − | 15.7826i | −0.378033 | − | 0.654773i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.90649 | − | 22.1548i | 0.161790 | − | 0.917558i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.06835 | + | 0.896449i | 0.0441707 | + | 0.0370636i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.5996 | − | 4.94984i | −0.561315 | − | 0.204302i | 0.0457518 | − | 0.998953i | \(-0.485432\pi\) |
−0.607067 | + | 0.794651i | \(0.707654\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.0721162 | + | 0.864304i | 0.00297150 | + | 0.0356130i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −31.0382 | − | 11.2970i | −1.27674 | − | 0.464695i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 33.6950 | + | 28.2735i | 1.38369 | + | 1.16105i | 0.967824 | + | 0.251626i | \(0.0809654\pi\) |
0.415865 | + | 0.909427i | \(0.363479\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.989903 | + | 5.61402i | −0.0405821 | + | 0.230152i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.30684 | + | 9.19171i | 0.217194 | + | 0.376192i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −9.54029 | + | 3.47238i | −0.389806 | + | 0.141878i | −0.529485 | − | 0.848319i | \(-0.677615\pi\) |
0.139680 | + | 0.990197i | \(0.455393\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.342773 | + | 0.593701i | −0.0139820 | + | 0.0242176i | −0.872932 | − | 0.487842i | \(-0.837784\pi\) |
0.858950 | + | 0.512060i | \(0.171117\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.90230 | − | 2.43531i | 0.118191 | − | 0.0991737i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.460181 | − | 2.60982i | −0.0187090 | − | 0.106104i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.25110 | 0.131958 | 0.0659791 | − | 0.997821i | \(-0.478983\pi\) | ||||
0.0659791 | + | 0.997821i | \(0.478983\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.1799 | −0.453031 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.537241 | − | 3.04685i | −0.0217345 | − | 0.123262i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.89548 | − | 5.78600i | 0.278506 | − | 0.233694i | −0.492825 | − | 0.870128i | \(-0.664036\pi\) |
0.771331 | + | 0.636434i | \(0.219591\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.09951 | − | 1.90441i | 0.0443367 | − | 0.0767934i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.7314 | − | 14.4610i | 1.59952 | − | 0.582179i | 0.620195 | − | 0.784448i | \(-0.287054\pi\) |
0.979330 | + | 0.202269i | \(0.0648314\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.31494 | + | 5.74165i | 0.133239 | + | 0.230776i | 0.924923 | − | 0.380154i | \(-0.124129\pi\) |
−0.791685 | + | 0.610930i | \(0.790796\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.28449 | + | 7.28471i | −0.0515449 | + | 0.292326i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 17.5065 | + | 14.6897i | 0.701385 | + | 0.588532i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.24935 | + | 19.2804i | −0.209639 | + | 0.769986i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 21.1163 | + | 7.68569i | 0.841961 | + | 0.306449i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.854975 | − | 0.717409i | −0.0340360 | − | 0.0285596i | 0.625611 | − | 0.780135i | \(-0.284850\pi\) |
−0.659647 | + | 0.751576i | \(0.729294\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.48033 | + | 36.7518i | −0.257570 | + | 1.46075i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.947575 | + | 1.64125i | 0.0376034 | + | 0.0651309i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.4055 | + | 4.51524i | −0.491524 | + | 0.178900i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.383687 | − | 0.664566i | 0.0151784 | − | 0.0262898i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.06995 | + | 6.77149i | −0.318744 | + | 0.267458i | −0.788095 | − | 0.615554i | \(-0.788932\pi\) |
0.469351 | + | 0.883012i | \(0.344488\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.95271 | − | 45.1021i | −0.313624 | − | 1.77865i | −0.579831 | − | 0.814736i | \(-0.696882\pi\) |
0.266207 | − | 0.963916i | \(-0.414230\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.12742 | −0.0837670 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.61113 | 0.338538 | 0.169269 | − | 0.985570i | \(-0.445859\pi\) | ||||
0.169269 | + | 0.985570i | \(0.445859\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.44364 | − | 13.8585i | −0.0959211 | − | 0.543996i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.376653 | − | 0.316050i | 0.0147622 | − | 0.0123870i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 9.24321 | − | 16.0097i | 0.361715 | − | 0.626508i | −0.626529 | − | 0.779398i | \(-0.715525\pi\) |
0.988243 | + | 0.152890i | \(0.0488582\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.1017 | + | 5.86053i | −0.629145 | + | 0.228990i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.79918 | + | 4.84832i | 0.109206 | + | 0.189151i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.46590 | − | 13.9848i | 0.0960578 | − | 0.544771i | −0.898360 | − | 0.439259i | \(-0.855241\pi\) |
0.994418 | − | 0.105512i | \(-0.0336480\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.1090 | − | 13.5171i | −0.626567 | − | 0.525752i | 0.273293 | − | 0.961931i | \(-0.411887\pi\) |
−0.899860 | + | 0.436178i | \(0.856332\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −15.7479 | − | 5.73178i | −0.611599 | − | 0.222604i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.78161 | − | 4.82021i | −0.185423 | − | 0.186920i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.69101 | − | 2.07136i | −0.220357 | − | 0.0802034i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 15.2012 | + | 12.7553i | 0.587713 | + | 0.493149i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.76131 | − | 27.0027i | 0.183808 | − | 1.04243i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.87529 | − | 10.1763i | −0.226476 | − | 0.392267i | 0.730285 | − | 0.683142i | \(-0.239387\pi\) |
−0.956761 | + | 0.290875i | \(0.906054\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.19263 | + | 1.88996i | −0.199865 | + | 0.0727447i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −21.3188 | + | 36.9253i | −0.819349 | + | 1.41915i | 0.0868130 | + | 0.996225i | \(0.472332\pi\) |
−0.906162 | + | 0.422930i | \(0.861002\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.25710 | + | 1.05483i | −0.0482430 | + | 0.0404807i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.98154 | + | 28.2517i | 0.190893 | + | 1.08261i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 27.4465 | 1.05021 | 0.525106 | − | 0.851037i | \(-0.324026\pi\) | ||||
0.525106 | + | 0.851037i | \(0.324026\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15.9618 | −0.609869 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.33079 | − | 18.8898i | −0.127078 | − | 0.720692i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −17.2140 | + | 14.4443i | −0.655803 | + | 0.550284i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.7571 | + | 20.3638i | −0.447260 | + | 0.774676i | −0.998207 | − | 0.0598640i | \(-0.980933\pi\) |
0.550947 | + | 0.834540i | \(0.314267\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.04360 | + | 0.743810i | −0.0776300 | + | 0.0282550i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.01582 | + | 5.22356i | 0.114397 | + | 0.198141i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.880911 | − | 4.99589i | 0.0333669 | − | 0.189233i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.66994 | + | 6.43584i | 0.290104 | + | 0.243426i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.2277 | + | 14.6417i | 1.51938 | + | 0.553009i | 0.960993 | − | 0.276573i | \(-0.0891986\pi\) |
0.558386 | + | 0.829581i | \(0.311421\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −21.9853 | + | 15.2629i | −0.829192 | + | 0.575652i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.59793 | + | 0.581599i | 0.0601815 | + | 0.0219043i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −19.5723 | − | 16.4231i | −0.736092 | − | 0.617655i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.27855 | + | 7.25100i | −0.0480168 | + | 0.272317i | −0.999358 | − | 0.0358221i | \(-0.988595\pi\) |
0.951341 | + | 0.308139i | \(0.0997062\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.31836 | + | 5.74757i | 0.124448 | + | 0.215551i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.250289 | − | 0.0910976i | 0.00937338 | − | 0.00341163i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.17028 | − | 7.22313i | 0.155960 | − | 0.270130i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −21.3212 | + | 17.8906i | −0.796256 | + | 0.668138i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.42617 | + | 30.7734i | 0.202362 | + | 1.14765i | 0.901537 | + | 0.432702i | \(0.142440\pi\) |
−0.699175 | + | 0.714951i | \(0.746449\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.6637 | 0.806797 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 14.4792 | 0.538487 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.785624 | − | 4.45550i | −0.0291773 | − | 0.165473i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.8464 | − | 13.2967i | 0.587712 | − | 0.493149i | −0.299758 | − | 0.954015i | \(-0.596906\pi\) |
0.887469 | + | 0.460867i | \(0.152461\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.9175 | + | 25.8379i | −0.552500 | + | 0.956959i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.61179 | + | 1.67855i | −0.170573 | + | 0.0620836i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.58205 | − | 11.4005i | −0.243114 | − | 0.421085i | 0.718486 | − | 0.695542i | \(-0.244835\pi\) |
−0.961600 | + | 0.274456i | \(0.911502\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.26000 | − | 7.14584i | 0.0464759 | − | 0.263578i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.3572 | − | 14.5644i | −0.639359 | − | 0.536486i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.0323 | − | 5.47130i | −0.552971 | − | 0.201265i | 0.0503952 | − | 0.998729i | \(-0.483952\pi\) |
−0.603366 | + | 0.797464i | \(0.706174\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.3960 | − | 11.3827i | 0.602324 | − | 0.418153i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 28.1719 | + | 10.2537i | 1.03353 | + | 0.376172i | 0.802422 | − | 0.596757i | \(-0.203544\pi\) |
0.231103 | + | 0.972929i | \(0.425767\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.25026 | + | 1.04909i | 0.0458059 | + | 0.0384358i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.981651 | − | 5.56722i | 0.0359167 | − | 0.203694i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.28484 | + | 7.42156i | 0.156565 | + | 0.271178i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.2128 | − | 4.44508i | 0.445650 | − | 0.162203i | −0.109440 | − | 0.993993i | \(-0.534906\pi\) |
0.555091 | + | 0.831790i | \(0.312684\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.65874 | − | 8.06917i | 0.169774 | − | 0.294057i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 12.5676 | − | 10.5454i | 0.457380 | − | 0.383788i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.44237 | + | 36.5365i | 0.234152 | + | 1.32794i | 0.844392 | + | 0.535726i | \(0.179962\pi\) |
−0.610240 | + | 0.792217i | \(0.708927\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.13659 | 0.222744 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −46.3946 | −1.68180 | −0.840902 | − | 0.541188i | \(-0.817975\pi\) | ||||
−0.840902 | + | 0.541188i | \(0.817975\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.566117 | − | 3.21061i | −0.0204948 | − | 0.116232i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.35461 | + | 1.13666i | −0.0489761 | + | 0.0410959i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7.02828 | + | 12.1733i | −0.253776 | + | 0.439554i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.8986 | − | 12.3381i | 1.22241 | − | 0.444923i | 0.351421 | − | 0.936217i | \(-0.385698\pi\) |
0.870993 | + | 0.491295i | \(0.163476\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.86199 | − | 13.6174i | −0.283143 | − | 0.490418i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.52101 | + | 48.3250i | −0.306479 | + | 1.73813i | 0.309979 | + | 0.950743i | \(0.399678\pi\) |
−0.616458 | + | 0.787388i | \(0.711433\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.152423 | + | 0.127898i | 0.00547519 | + | 0.00459423i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 14.2578 | + | 5.18940i | 0.511495 | + | 0.186169i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.25513 | + | 4.28949i | 0.152456 | + | 0.153687i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.31251 | − | 1.56963i | −0.154314 | − | 0.0561656i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −19.1514 | − | 16.0699i | −0.684415 | − | 0.574292i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.20270 | + | 12.4921i | −0.0786178 | + | 0.445864i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.5322 | − | 32.0988i | −0.660603 | − | 1.14420i | −0.980457 | − | 0.196731i | \(-0.936967\pi\) |
0.319854 | − | 0.947467i | \(-0.396366\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.2344 | + | 4.45297i | −0.435558 | + | 0.158530i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.08778 | + | 10.5443i | −0.216457 | + | 0.374914i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.9808 | + | 17.6050i | −0.745051 | + | 0.625172i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.14473 | − | 12.1633i | −0.0760656 | − | 0.431389i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −35.9076 | −1.27191 | −0.635956 | − | 0.771726i | \(-0.719394\pi\) | ||||
−0.635956 | + | 0.771726i | \(0.719394\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.92286 | 0.138781 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.23099 | + | 6.98131i | 0.0434950 | + | 0.246672i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 25.6479 | − | 21.5212i | 0.905095 | − | 0.759465i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.04254 | + | 1.80574i | −0.0367449 | + | 0.0636440i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.0906 | + | 3.67269i | −0.355207 | + | 0.129285i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.7924 | + | 25.6213i | 0.520074 | + | 0.900795i | 0.999728 | + | 0.0233373i | \(0.00742916\pi\) |
−0.479653 | + | 0.877458i | \(0.659238\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.91128 | − | 16.5107i | 0.102229 | − | 0.579770i | −0.890062 | − | 0.455840i | \(-0.849339\pi\) |
0.992291 | − | 0.123930i | \(-0.0395498\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 32.3752 | + | 27.1660i | 1.13545 | + | 0.952753i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −11.6807 | − | 4.25142i | −0.409156 | − | 0.148921i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.53555 | − | 5.63995i | 0.0537221 | − | 0.197317i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.04131 | + | 0.742976i | 0.0713291 | + | 0.0259617i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.36340 | + | 7.01773i | 0.291885 | + | 0.244920i | 0.776957 | − | 0.629554i | \(-0.216762\pi\) |
−0.485072 | + | 0.874474i | \(0.661207\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.72472 | + | 49.4803i | −0.304125 | + | 1.72478i | 0.323472 | + | 0.946238i | \(0.395150\pi\) |
−0.627597 | + | 0.778539i | \(0.715961\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.29212 | + | 3.97007i | 0.0798014 | + | 0.138220i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 5.82031 | − | 2.11842i | 0.202392 | − | 0.0736646i | −0.238835 | − | 0.971060i | \(-0.576766\pi\) |
0.441227 | + | 0.897396i | \(0.354543\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.14989 | + | 1.99167i | −0.0399373 | + | 0.0691734i | −0.885303 | − | 0.465014i | \(-0.846049\pi\) |
0.845366 | + | 0.534188i | \(0.179382\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −5.53543 | + | 4.64478i | −0.192022 | + | 0.161126i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.90672 | − | 16.4848i | −0.100712 | − | 0.571165i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.11376 | −0.246182 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.09951 | 0.0380045 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 2.16688 | + | 12.2890i | 0.0748089 | + | 0.424263i | 0.999094 | + | 0.0425595i | \(0.0135512\pi\) |
−0.924285 | + | 0.381703i | \(0.875338\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.53539 | + | 5.48385i | −0.225358 | + | 0.189098i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −13.1004 | + | 22.6906i | −0.451202 | + | 0.781506i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 4.38723 | − | 1.59682i | 0.150925 | − | 0.0549324i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.06393 | − | 3.57482i | −0.0709173 | − | 0.122832i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.69756 | + | 43.6550i | −0.264180 | + | 1.49824i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.29633 | + | 5.28324i | 0.215835 | + | 0.181107i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −34.8702 | − | 12.6917i | −1.19393 | − | 0.434556i | −0.332829 | − | 0.942987i | \(-0.608003\pi\) |
−0.861102 | + | 0.508432i | \(0.830225\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.175122 | − | 2.09882i | −0.00598905 | − | 0.0717780i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −15.4811 | − | 5.63465i | −0.528824 | − | 0.192476i | 0.0637893 | − | 0.997963i | \(-0.479681\pi\) |
−0.592613 | + | 0.805487i | \(0.701904\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.2449 | + | 13.6311i | 0.554268 | + | 0.465086i | 0.876383 | − | 0.481615i | \(-0.159949\pi\) |
−0.322115 | + | 0.946700i | \(0.604394\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.594794 | − | 3.37324i | 0.0202705 | − | 0.114960i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 25.9664 | + | 44.9751i | 0.883907 | + | 1.53097i | 0.846961 | + | 0.531654i | \(0.178430\pi\) |
0.0369456 | + | 0.999317i | \(0.488237\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.2471 | − | 5.91344i | 0.552416 | − | 0.201063i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.86026 | + | 4.95412i | −0.0971396 | + | 0.168251i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 30.4050 | − | 25.5128i | 1.03142 | − | 0.865463i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.93014 | + | 22.2889i | 0.133168 | + | 0.755231i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.509043 | −0.0172285 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.55763 | −0.0526576 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.557913 | + | 3.16408i | 0.0188394 | + | 0.106843i | 0.992777 | − | 0.119971i | \(-0.0382801\pi\) |
−0.973938 | + | 0.226814i | \(0.927169\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 35.3664 | − | 29.6760i | 1.19288 | − | 1.00095i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −27.1742 | + | 47.0672i | −0.915523 | + | 1.58573i | −0.109390 | + | 0.993999i | \(0.534890\pi\) |
−0.806133 | + | 0.591734i | \(0.798444\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.0644 | + | 10.2146i | −0.944442 | + | 0.343749i | −0.767919 | − | 0.640547i | \(-0.778707\pi\) |
−0.176524 | + | 0.984296i | \(0.556485\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.86297 | − | 6.69087i | −0.129852 | − | 0.224911i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.41795 | − | 8.04159i | 0.0476101 | − | 0.270010i | −0.951705 | − | 0.307014i | \(-0.900670\pi\) |
0.999315 | + | 0.0370037i | \(0.0117813\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.26132 | + | 1.89748i | 0.0758424 | + | 0.0636393i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 19.8683 | + | 7.23148i | 0.665614 | + | 0.242264i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.69523 | + | 3.81644i | −0.0901926 | + | 0.127712i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.00606 | + | 1.09412i | 0.100481 | + | 0.0365722i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.69563 | − | 3.94010i | −0.156782 | − | 0.131556i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.156319 | + | 0.886527i | −0.00521352 | + | 0.0295673i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.2463 | − | 24.6753i | −0.474613 | − | 0.822055i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.11389 | + | 1.13336i | −0.103624 | + | 0.0377160i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.3284 | − | 17.8893i | 0.343328 | − | 0.594661i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.7817 | − | 13.2425i | 0.524024 | − | 0.439708i | −0.342008 | − | 0.939697i | \(-0.611107\pi\) |
0.866032 | + | 0.499989i | \(0.166663\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.37625 | − | 7.80510i | −0.0456473 | − | 0.258879i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8.48748 | −0.281203 | −0.140601 | − | 0.990066i | \(-0.544904\pi\) | ||||
−0.140601 | + | 0.990066i | \(0.544904\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −33.8083 | −1.11889 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.61403 | − | 14.8249i | −0.0864173 | − | 0.490097i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −20.4458 | + | 17.1561i | −0.675180 | + | 0.566544i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 21.4268 | − | 37.1123i | 0.706805 | − | 1.22422i | −0.259231 | − | 0.965815i | \(-0.583469\pi\) |
0.966036 | − | 0.258407i | \(-0.0831975\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 39.3531 | − | 14.3234i | 1.29673 | − | 0.471971i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.29207 | + | 3.96997i | 0.0754443 | + | 0.130673i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.06621 | + | 6.04680i | −0.0350569 | + | 0.198817i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.14784 | + | 4.31955i | 0.169077 | + | 0.141873i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 43.1731 | + | 15.7137i | 1.41646 | + | 0.515550i | 0.933020 | − | 0.359825i | \(-0.117164\pi\) |
0.483443 | + | 0.875376i | \(0.339386\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.0347 | + | 8.49817i | 0.591064 | + | 0.278516i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 39.3659 | + | 14.3280i | 1.28878 | + | 0.469078i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 8.10126 | + | 6.79776i | 0.264939 | + | 0.222311i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.52394 | − | 31.3278i | 0.180459 | − | 1.02344i | −0.751193 | − | 0.660083i | \(-0.770521\pi\) |
0.931652 | − | 0.363352i | \(-0.118368\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 6.86084 | + | 11.8833i | 0.223895 | + | 0.387798i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −26.5678 | + | 9.66990i | −0.866087 | + | 0.315230i | −0.736581 | − | 0.676349i | \(-0.763561\pi\) |
−0.129505 | + | 0.991579i | \(0.541339\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.927755 | − | 1.60692i | 0.0302119 | − | 0.0523285i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −6.59358 | + | 5.53267i | −0.214489 | + | 0.179978i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.28960 | − | 24.3275i | −0.139393 | − | 0.790538i | −0.971699 | − | 0.236222i | \(-0.924091\pi\) |
0.832306 | − | 0.554317i | \(-0.187020\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −33.4434 | −1.08562 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 35.6707 | 1.15670 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.34342 | + | 47.3179i | 0.270270 | + | 1.53278i | 0.753597 | + | 0.657337i | \(0.228317\pi\) |
−0.483327 | + | 0.875440i | \(0.660572\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.683841 | − | 0.573811i | 0.0221286 | − | 0.0185681i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −10.3701 | + | 17.9615i | −0.335217 | + | 0.580613i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −23.3632 | + | 8.50352i | −0.754438 | + | 0.274593i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4802 | + | 26.8125i | 0.499361 | + | 0.864919i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.461608 | + | 2.61791i | −0.0148751 | + | 0.0843610i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.55201 | + | 1.30229i | 0.0499609 | + | 0.0419222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.9013 | + | 10.5192i | 0.929402 | + | 0.338275i | 0.761972 | − | 0.647609i | \(-0.224231\pi\) |
0.167429 | + | 0.985884i | \(0.446453\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 10.6034 | + | 22.9798i | 0.340630 | + | 0.738218i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −54.3857 | − | 19.7948i | −1.74532 | − | 0.635244i | −0.745797 | − | 0.666173i | \(-0.767931\pi\) |
−0.999522 | + | 0.0309286i | \(0.990154\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.19705 | + | 6.03905i | 0.230727 | + | 0.193603i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.795153 | − | 4.50954i | 0.0254653 | − | 0.144421i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −28.4347 | − | 49.2503i | −0.909706 | − | 1.57566i | −0.814473 | − | 0.580201i | \(-0.802974\pi\) |
−0.0952325 | − | 0.995455i | \(-0.530359\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 39.8390 | − | 14.5002i | 1.27326 | − | 0.463429i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.505643 | − | 0.875800i | 0.0161440 | − | 0.0279621i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −3.09442 | + | 2.59653i | −0.0986967 | + | 0.0828163i | −0.690801 | − | 0.723045i | \(-0.742742\pi\) |
0.592104 | + | 0.805861i | \(0.298297\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.61538 | − | 20.5038i | −0.115196 | − | 0.653306i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.64873 | 0.0843099 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.79509 | −0.0570805 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.661223 | − | 3.74998i | −0.0210044 | − | 0.119122i | 0.972503 | − | 0.232891i | \(-0.0748186\pi\) |
−0.993507 | + | 0.113769i | \(0.963708\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 39.9061 | − | 33.4852i | 1.26638 | − | 1.06262i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.34510 | + | 5.79389i | −0.106047 | + | 0.183679i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −42.2306 | + | 15.3707i | −1.33746 | + | 0.486795i | −0.909011 | − | 0.416772i | \(-0.863161\pi\) |
−0.428447 | + | 0.903567i | \(0.640939\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 16.9647 | + | 29.3837i | 0.536739 | + | 0.929659i |
(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 | 380.2.u.b.61.1 | ✓ | 18 | |
19.5 | even | 9 | inner | 380.2.u.b.81.1 | yes | 18 | |
19.9 | even | 9 | 7220.2.a.w.1.3 | 9 | |||
19.10 | odd | 18 | 7220.2.a.y.1.7 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.b.61.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
380.2.u.b.81.1 | yes | 18 | 19.5 | even | 9 | inner | |
7220.2.a.w.1.3 | 9 | 19.9 | even | 9 | |||
7220.2.a.y.1.7 | 9 | 19.10 | odd | 18 |