Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(31,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 255.1 | ||
Root | \(1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 416.255 |
Dual form | 416.2.k.b.31.1 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 | 0 | ||||||||
\(3\) | 2.00000i | 1.15470i | 0.816497 | + | 0.577350i | \(0.195913\pi\) | ||||
−0.816497 | + | 0.577350i | \(0.804087\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.00000 | − | 1.00000i | −0.447214 | − | 0.447214i | 0.447214 | − | 0.894427i | \(-0.352416\pi\) |
−0.894427 | + | 0.447214i | \(0.852416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | + | 1.00000i | 0.377964 | + | 0.377964i | 0.870367 | − | 0.492403i | \(-0.163881\pi\) |
−0.492403 | + | 0.870367i | \(0.663881\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | + | 3.00000i | 0.904534 | + | 0.904534i | 0.995824 | − | 0.0912903i | \(-0.0290991\pi\) |
−0.0912903 | + | 0.995824i | \(0.529099\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.00000 | + | 2.00000i | −0.832050 | + | 0.554700i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.00000 | − | 2.00000i | 0.516398 | − | 0.516398i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.00000i | 0.970143i | 0.874475 | + | 0.485071i | \(0.161206\pi\) | ||||
−0.874475 | + | 0.485071i | \(0.838794\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.00000 | + | 3.00000i | −0.688247 | + | 0.688247i | −0.961844 | − | 0.273597i | \(-0.911786\pi\) |
0.273597 | + | 0.961844i | \(0.411786\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | + | 2.00000i | −0.436436 | + | 0.436436i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | − | 3.00000i | − | 0.600000i | ||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.00000i | 0.769800i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.00000 | −1.11417 | −0.557086 | − | 0.830455i | \(-0.688081\pi\) | ||||
−0.557086 | + | 0.830455i | \(0.688081\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.00000 | − | 3.00000i | 0.538816 | − | 0.538816i | −0.384365 | − | 0.923181i | \(-0.625580\pi\) |
0.923181 | + | 0.384365i | \(0.125580\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.00000 | + | 6.00000i | −1.04447 | + | 1.04447i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | − | 2.00000i | − | 0.338062i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.00000 | − | 3.00000i | 0.493197 | − | 0.493197i | −0.416115 | − | 0.909312i | \(-0.636609\pi\) |
0.909312 | + | 0.416115i | \(0.136609\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.00000 | − | 6.00000i | −0.640513 | − | 0.960769i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.00000 | + | 1.00000i | 0.156174 | + | 0.156174i | 0.780869 | − | 0.624695i | \(-0.214777\pi\) |
−0.624695 | + | 0.780869i | \(0.714777\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.00000 | −0.609994 | −0.304997 | − | 0.952353i | \(-0.598656\pi\) | ||||
−0.304997 | + | 0.952353i | \(0.598656\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.00000 | + | 1.00000i | 0.149071 | + | 0.149071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.00000 | + | 5.00000i | 0.729325 | + | 0.729325i | 0.970485 | − | 0.241160i | \(-0.0775280\pi\) |
−0.241160 | + | 0.970485i | \(0.577528\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 5.00000i | − | 0.714286i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.00000 | −1.12022 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.00000i | − | 0.809040i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.00000 | − | 6.00000i | −0.794719 | − | 0.794719i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.00000 | + | 7.00000i | 0.911322 | + | 0.911322i | 0.996376 | − | 0.0850540i | \(-0.0271063\pi\) |
−0.0850540 | + | 0.996376i | \(0.527106\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.0000 | 1.79252 | 0.896258 | − | 0.443533i | \(-0.146275\pi\) | ||||
0.896258 | + | 0.443533i | \(0.146275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.00000 | − | 1.00000i | −0.125988 | − | 0.125988i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.00000 | + | 1.00000i | 0.620174 | + | 0.124035i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | − | 5.00000i | 0.610847 | − | 0.610847i | −0.332320 | − | 0.943167i | \(-0.607831\pi\) |
0.943167 | + | 0.332320i | \(0.107831\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.00000 | + | 5.00000i | −0.593391 | + | 0.593391i | −0.938546 | − | 0.345155i | \(-0.887826\pi\) |
0.345155 | + | 0.938546i | \(0.387826\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.00000 | − | 9.00000i | 1.05337 | − | 1.05337i | 0.0548772 | − | 0.998493i | \(-0.482523\pi\) |
0.998493 | − | 0.0548772i | \(-0.0174767\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.00000 | 0.692820 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000i | 0.683763i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 6.00000i | − | 0.675053i | −0.941316 | − | 0.337526i | \(-0.890410\pi\) | ||
0.941316 | − | 0.337526i | \(-0.109590\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.0000 | −1.22222 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.00000 | + | 7.00000i | −0.768350 | + | 0.768350i | −0.977816 | − | 0.209466i | \(-0.932827\pi\) |
0.209466 | + | 0.977816i | \(0.432827\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.00000 | − | 4.00000i | 0.433861 | − | 0.433861i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − | 12.0000i | − | 1.28654i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.00000 | − | 5.00000i | 0.529999 | − | 0.529999i | −0.390573 | − | 0.920572i | \(-0.627723\pi\) |
0.920572 | + | 0.390573i | \(0.127723\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.00000 | − | 1.00000i | −0.524142 | − | 0.104828i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.00000 | + | 6.00000i | 0.622171 | + | 0.622171i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 6.00000 | 0.615587 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.0000 | + | 13.0000i | 1.31995 | + | 1.31995i | 0.913812 | + | 0.406138i | \(0.133125\pi\) |
0.406138 | + | 0.913812i | \(0.366875\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.00000 | − | 3.00000i | −0.301511 | − | 0.301511i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 16.0000i | − | 1.59206i | −0.605257 | − | 0.796030i | \(-0.706930\pi\) | ||
0.605257 | − | 0.796030i | \(-0.293070\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.00000 | −0.788263 | −0.394132 | − | 0.919054i | \(-0.628955\pi\) | ||||
−0.394132 | + | 0.919054i | \(0.628955\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.00000 | 0.390360 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 14.0000i | − | 1.35343i | −0.736245 | − | 0.676716i | \(-0.763403\pi\) | ||
0.736245 | − | 0.676716i | \(-0.236597\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.00000 | − | 9.00000i | −0.862044 | − | 0.862044i | 0.129532 | − | 0.991575i | \(-0.458653\pi\) |
−0.991575 | + | 0.129532i | \(0.958653\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.00000 | + | 6.00000i | 0.569495 | + | 0.569495i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.00000 | −0.188144 | −0.0940721 | − | 0.995565i | \(-0.529988\pi\) | ||||
−0.0940721 | + | 0.995565i | \(0.529988\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.00000 | − | 2.00000i | 0.277350 | − | 0.184900i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.00000 | + | 4.00000i | −0.366679 | + | 0.366679i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.00000i | 0.636364i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.00000 | + | 2.00000i | −0.180334 | + | 0.180334i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.00000 | + | 8.00000i | −0.715542 | + | 0.715542i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0000 | −1.41977 | −0.709885 | − | 0.704317i | \(-0.751253\pi\) | ||||
−0.709885 | + | 0.704317i | \(0.751253\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 8.00000i | − | 0.704361i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 14.0000i | − | 1.22319i | −0.791173 | − | 0.611593i | \(-0.790529\pi\) | ||
0.791173 | − | 0.611593i | \(-0.209471\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.00000 | −0.520266 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.00000 | − | 4.00000i | 0.344265 | − | 0.344265i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.00000 | + | 3.00000i | −0.256307 | + | 0.256307i | −0.823550 | − | 0.567243i | \(-0.808010\pi\) |
0.567243 | + | 0.823550i | \(0.308010\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 22.0000i | − | 1.86602i | −0.359856 | − | 0.933008i | \(-0.617174\pi\) | ||
0.359856 | − | 0.933008i | \(-0.382826\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −10.0000 | + | 10.0000i | −0.842152 | + | 0.842152i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15.0000 | − | 3.00000i | −1.25436 | − | 0.250873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.00000 | + | 6.00000i | 0.498273 | + | 0.498273i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.0000 | 0.824786 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −13.0000 | − | 13.0000i | −1.06500 | − | 1.06500i | −0.997735 | − | 0.0672664i | \(-0.978572\pi\) |
−0.0672664 | − | 0.997735i | \(-0.521428\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.00000 | + | 9.00000i | 0.732410 | + | 0.732410i | 0.971097 | − | 0.238687i | \(-0.0767170\pi\) |
−0.238687 | + | 0.971097i | \(0.576717\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 4.00000i | − | 0.323381i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.00000 | −0.481932 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.00000 | 0.159617 | 0.0798087 | − | 0.996810i | \(-0.474569\pi\) | ||||
0.0798087 | + | 0.996810i | \(0.474569\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 12.0000i | 0.951662i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.00000 | + | 3.00000i | 0.234978 | + | 0.234978i | 0.814767 | − | 0.579789i | \(-0.196865\pi\) |
−0.579789 | + | 0.814767i | \(0.696865\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 12.0000 | 0.934199 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 13.0000 | + | 13.0000i | 1.00597 | + | 1.00597i | 0.999982 | + | 0.00598813i | \(0.00190609\pi\) |
0.00598813 | + | 0.999982i | \(0.498094\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.00000 | − | 12.0000i | 0.384615 | − | 0.923077i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | − | 3.00000i | 0.229416 | − | 0.229416i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 24.0000i | 1.82469i | 0.409426 | + | 0.912343i | \(0.365729\pi\) | ||||
−0.409426 | + | 0.912343i | \(0.634271\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.00000 | − | 3.00000i | 0.226779 | − | 0.226779i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −14.0000 | + | 14.0000i | −1.05230 | + | 1.05230i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 20.0000 | 1.49487 | 0.747435 | − | 0.664335i | \(-0.231285\pi\) | ||||
0.747435 | + | 0.664335i | \(0.231285\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 4.00000i | − | 0.297318i | −0.988889 | − | 0.148659i | \(-0.952504\pi\) | ||
0.988889 | − | 0.148659i | \(-0.0474956\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 28.0000i | 2.06982i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.00000 | −0.441129 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.0000 | + | 12.0000i | −0.877527 | + | 0.877527i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.00000 | + | 4.00000i | −0.290957 | + | 0.290957i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.0000i | 0.723575i | 0.932261 | + | 0.361787i | \(0.117833\pi\) | ||||
−0.932261 | + | 0.361787i | \(0.882167\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.00000 | − | 5.00000i | 0.359908 | − | 0.359908i | −0.503871 | − | 0.863779i | \(-0.668091\pi\) |
0.863779 | + | 0.503871i | \(0.168091\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.00000 | + | 10.0000i | −0.143223 | + | 0.716115i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.00000 | + | 7.00000i | 0.498729 | + | 0.498729i | 0.911042 | − | 0.412313i | \(-0.135279\pi\) |
−0.412313 | + | 0.911042i | \(0.635279\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 10.0000 | + | 10.0000i | 0.705346 | + | 0.705346i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −6.00000 | − | 6.00000i | −0.421117 | − | 0.421117i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 2.00000i | − | 0.139686i | ||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −18.0000 | −1.24509 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0000i | 0.688428i | 0.938891 | + | 0.344214i | \(0.111855\pi\) | ||||
−0.938891 | + | 0.344214i | \(0.888145\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.0000 | − | 10.0000i | −0.685189 | − | 0.685189i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.00000 | + | 4.00000i | 0.272798 | + | 0.272798i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.00000 | 0.407307 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 18.0000 | + | 18.0000i | 1.21633 | + | 1.21633i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.00000 | − | 12.0000i | −0.538138 | − | 0.807207i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.00000 | − | 7.00000i | 0.468755 | − | 0.468755i | −0.432756 | − | 0.901511i | \(-0.642459\pi\) |
0.901511 | + | 0.432756i | \(0.142459\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.00000i | 0.200000i | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.0000 | − | 13.0000i | 0.862840 | − | 0.862840i | −0.128827 | − | 0.991667i | \(-0.541121\pi\) |
0.991667 | + | 0.128827i | \(0.0411211\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.00000 | − | 3.00000i | 0.198246 | − | 0.198246i | −0.601002 | − | 0.799248i | \(-0.705232\pi\) |
0.799248 | + | 0.601002i | \(0.205232\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.0000 | −0.789542 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 16.0000i | − | 1.04819i | −0.851658 | − | 0.524097i | \(-0.824403\pi\) | ||
0.851658 | − | 0.524097i | \(-0.175597\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | − | 10.0000i | − | 0.652328i | ||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.0000 | 0.779484 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −17.0000 | + | 17.0000i | −1.09964 | + | 1.09964i | −0.105186 | + | 0.994453i | \(0.533544\pi\) |
−0.994453 | + | 0.105186i | \(0.966456\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.0000 | + | 15.0000i | −0.966235 | + | 0.966235i | −0.999448 | − | 0.0332133i | \(-0.989426\pi\) |
0.0332133 | + | 0.999448i | \(0.489426\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 10.0000i | − | 0.641500i | ||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.00000 | + | 5.00000i | −0.319438 | + | 0.319438i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.00000 | − | 15.0000i | 0.190885 | − | 0.954427i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −14.0000 | − | 14.0000i | −0.887214 | − | 0.887214i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.00000 | −0.252478 | −0.126239 | − | 0.992000i | \(-0.540291\pi\) | ||||
−0.126239 | + | 0.992000i | \(0.540291\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 8.00000 | + | 8.00000i | 0.500979 | + | 0.500979i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 24.0000i | 1.49708i | 0.663090 | + | 0.748539i | \(0.269245\pi\) | ||||
−0.663090 | + | 0.748539i | \(0.730755\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.00000 | 0.372822 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | 0.371391 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 18.0000i | 1.10993i | 0.831875 | + | 0.554964i | \(0.187268\pi\) | ||||
−0.831875 | + | 0.554964i | \(0.812732\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.00000 | − | 6.00000i | −0.368577 | − | 0.368577i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.0000 | + | 10.0000i | 0.611990 | + | 0.611990i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.0000 | 0.609711 | 0.304855 | − | 0.952399i | \(-0.401392\pi\) | ||||
0.304855 | + | 0.952399i | \(0.401392\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | − | 19.0000i | −1.15417 | − | 1.15417i | −0.985709 | − | 0.168459i | \(-0.946121\pi\) |
−0.168459 | − | 0.985709i | \(-0.553879\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.00000 | − | 10.0000i | 0.121046 | − | 0.605228i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 9.00000 | − | 9.00000i | 0.542720 | − | 0.542720i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.0000i | 0.961347i | 0.876900 | + | 0.480673i | \(0.159608\pi\) | ||||
−0.876900 | + | 0.480673i | \(0.840392\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.00000 | + | 3.00000i | −0.179605 | + | 0.179605i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.00000 | − | 1.00000i | 0.0596550 | − | 0.0596550i | −0.676650 | − | 0.736305i | \(-0.736569\pi\) |
0.736305 | + | 0.676650i | \(0.236569\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.0000 | −1.18888 | −0.594438 | − | 0.804141i | \(-0.702626\pi\) | ||||
−0.594438 | + | 0.804141i | \(0.702626\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.0000i | 0.710819i | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.00000i | 0.118056i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.00000 | 0.0588235 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −26.0000 | + | 26.0000i | −1.52415 | + | 1.52415i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −9.00000 | + | 9.00000i | −0.525786 | + | 0.525786i | −0.919313 | − | 0.393527i | \(-0.871255\pi\) |
0.393527 | + | 0.919313i | \(0.371255\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 14.0000i | − | 0.815112i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.0000 | + | 12.0000i | −0.696311 | + | 0.696311i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.00000 | − | 4.00000i | −0.230556 | − | 0.230556i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 32.0000 | 1.83835 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −14.0000 | − | 14.0000i | −0.801638 | − | 0.801638i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.00000 | − | 5.00000i | −0.285365 | − | 0.285365i | 0.549879 | − | 0.835244i | \(-0.314674\pi\) |
−0.835244 | + | 0.549879i | \(0.814674\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 16.0000i | − | 0.910208i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.0000 | −0.565233 | −0.282617 | − | 0.959233i | \(-0.591202\pi\) | ||||
−0.282617 | + | 0.959233i | \(0.591202\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.00000i | 0.112687i | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.00000 | + | 3.00000i | 0.168497 | + | 0.168497i | 0.786318 | − | 0.617822i | \(-0.211985\pi\) |
−0.617822 | + | 0.786318i | \(0.711985\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.0000 | − | 18.0000i | −1.00781 | − | 1.00781i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 28.0000 | 1.56281 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −12.0000 | − | 12.0000i | −0.667698 | − | 0.667698i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.00000 | + | 9.00000i | 0.332820 | + | 0.499230i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 18.0000 | − | 18.0000i | 0.995402 | − | 0.995402i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 10.0000i | 0.551318i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.0000 | − | 17.0000i | 0.934405 | − | 0.934405i | −0.0635727 | − | 0.997977i | \(-0.520249\pi\) |
0.997977 | + | 0.0635727i | \(0.0202495\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.00000 | + | 3.00000i | −0.164399 | + | 0.164399i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −10.0000 | −0.546358 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 20.0000i | − | 1.08947i | −0.838608 | − | 0.544735i | \(-0.816630\pi\) | ||
0.838608 | − | 0.544735i | \(-0.183370\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 4.00000i | − | 0.217250i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 18.0000 | 0.974755 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.0000 | − | 12.0000i | 0.647939 | − | 0.647939i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 6.00000i | − | 0.322097i | −0.986947 | − | 0.161048i | \(-0.948512\pi\) | ||
0.986947 | − | 0.161048i | \(-0.0514875\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.00000 | − | 3.00000i | 0.160586 | − | 0.160586i | −0.622240 | − | 0.782826i | \(-0.713777\pi\) |
0.782826 | + | 0.622240i | \(0.213777\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −8.00000 | − | 12.0000i | −0.427008 | − | 0.640513i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.0000 | + | 17.0000i | 0.904819 | + | 0.904819i | 0.995848 | − | 0.0910295i | \(-0.0290158\pi\) |
−0.0910295 | + | 0.995848i | \(0.529016\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.0000 | 0.530745 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −8.00000 | − | 8.00000i | −0.423405 | − | 0.423405i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.00000 | + | 1.00000i | 0.0527780 | + | 0.0527780i | 0.733003 | − | 0.680225i | \(-0.238118\pi\) |
−0.680225 | + | 0.733003i | \(0.738118\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000i | 0.0526316i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −14.0000 | −0.734809 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −18.0000 | −0.942163 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.0000i | 0.521996i | 0.965339 | + | 0.260998i | \(0.0840516\pi\) | ||||
−0.965339 | + | 0.260998i | \(0.915948\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.00000 | − | 1.00000i | −0.0520579 | − | 0.0520579i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.00000 | + | 6.00000i | 0.311504 | + | 0.311504i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0000 | 0.517780 | 0.258890 | − | 0.965907i | \(-0.416643\pi\) | ||||
0.258890 | + | 0.965907i | \(0.416643\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.0000 | − | 16.0000i | −0.826236 | − | 0.826236i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 18.0000 | − | 12.0000i | 0.927047 | − | 0.618031i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.0000 | + | 23.0000i | −1.18143 | + | 1.18143i | −0.202057 | + | 0.979374i | \(0.564763\pi\) |
−0.979374 | + | 0.202057i | \(0.935237\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 32.0000i | − | 1.63941i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.00000 | + | 9.00000i | −0.459879 | + | 0.459879i | −0.898616 | − | 0.438737i | \(-0.855426\pi\) |
0.438737 | + | 0.898616i | \(0.355426\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.00000 | − | 6.00000i | 0.305788 | − | 0.305788i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 4.00000 | 0.203331 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 20.0000i | − | 1.01404i | −0.861934 | − | 0.507020i | \(-0.830747\pi\) | ||
0.861934 | − | 0.507020i | \(-0.169253\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 28.0000 | 1.41241 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.00000 | + | 6.00000i | −0.301893 | + | 0.301893i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.00000 | − | 7.00000i | 0.351320 | − | 0.351320i | −0.509281 | − | 0.860601i | \(-0.670088\pi\) |
0.860601 | + | 0.509281i | \(0.170088\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | − | 12.0000i | − | 0.600751i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.00000 | + | 7.00000i | −0.349563 | + | 0.349563i | −0.859947 | − | 0.510384i | \(-0.829503\pi\) |
0.510384 | + | 0.859947i | \(0.329503\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.00000 | + | 15.0000i | −0.149441 | + | 0.747203i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 11.0000 | + | 11.0000i | 0.546594 | + | 0.546594i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.0000 | 0.892227 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.00000 | − | 3.00000i | −0.148340 | − | 0.148340i | 0.629036 | − | 0.777376i | \(-0.283450\pi\) |
−0.777376 | + | 0.629036i | \(0.783450\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.00000 | − | 6.00000i | −0.295958 | − | 0.295958i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 14.0000i | 0.688895i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.0000 | 0.687233 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 44.0000 | 2.15469 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.00000i | 0.0977064i | 0.998806 | + | 0.0488532i | \(0.0155566\pi\) | ||||
−0.998806 | + | 0.0488532i | \(0.984443\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.00000 | + | 3.00000i | 0.146211 | + | 0.146211i | 0.776423 | − | 0.630212i | \(-0.217032\pi\) |
−0.630212 | + | 0.776423i | \(0.717032\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.00000 | − | 5.00000i | −0.243108 | − | 0.243108i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.0000 | 0.582086 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.0000 | + | 14.0000i | 0.677507 | + | 0.677507i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.00000 | − | 30.0000i | 0.289683 | − | 1.44841i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.0000 | − | 11.0000i | 0.529851 | − | 0.529851i | −0.390677 | − | 0.920528i | \(-0.627759\pi\) |
0.920528 | + | 0.390677i | \(0.127759\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 24.0000i | − | 1.15337i | −0.816968 | − | 0.576683i | \(-0.804347\pi\) | ||
0.816968 | − | 0.576683i | \(-0.195653\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.0000 | + | 12.0000i | −0.575356 | + | 0.575356i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −40.0000 | −1.90910 | −0.954548 | − | 0.298057i | \(-0.903661\pi\) | ||||
−0.954548 | + | 0.298057i | \(0.903661\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.00000i | 0.238095i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 30.0000i | − | 1.42534i | −0.701498 | − | 0.712672i | \(-0.747485\pi\) | ||
0.701498 | − | 0.712672i | \(-0.252515\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.0000 | −0.474045 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 26.0000 | − | 26.0000i | 1.22976 | − | 1.22976i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.00000 | − | 1.00000i | 0.0471929 | − | 0.0471929i | −0.683117 | − | 0.730309i | \(-0.739376\pi\) |
0.730309 | + | 0.683117i | \(0.239376\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.00000i | 0.282529i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −18.0000 | + | 18.0000i | −0.845714 | + | 0.845714i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.00000 | + | 6.00000i | 0.187523 | + | 0.281284i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.0000 | + | 13.0000i | 0.608114 | + | 0.608114i | 0.942453 | − | 0.334339i | \(-0.108513\pi\) |
−0.334339 | + | 0.942453i | \(0.608513\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −16.0000 | −0.746816 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.0000 | + | 11.0000i | 0.512321 | + | 0.512321i | 0.915237 | − | 0.402916i | \(-0.132003\pi\) |
−0.402916 | + | 0.915237i | \(0.632003\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.00000 | + | 5.00000i | 0.232370 | + | 0.232370i | 0.813681 | − | 0.581311i | \(-0.197460\pi\) |
−0.581311 | + | 0.813681i | \(0.697460\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | − | 12.0000i | − | 0.556487i | ||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.00000 | 0.185098 | 0.0925490 | − | 0.995708i | \(-0.470499\pi\) | ||||
0.0925490 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.0000 | 0.461757 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.00000i | 0.184310i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.0000 | − | 12.0000i | −0.551761 | − | 0.551761i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.00000 | + | 9.00000i | 0.412948 | + | 0.412948i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.00000 | −0.274721 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −23.0000 | − | 23.0000i | −1.05090 | − | 1.05090i | −0.998633 | − | 0.0522635i | \(-0.983356\pi\) |
−0.0522635 | − | 0.998633i | \(-0.516644\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.00000 | + | 15.0000i | −0.136788 | + | 0.683941i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 26.0000i | − | 1.18060i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.0000 | − | 23.0000i | 1.04223 | − | 1.04223i | 0.0431614 | − | 0.999068i | \(-0.486257\pi\) |
0.999068 | − | 0.0431614i | \(-0.0137430\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.00000 | + | 6.00000i | −0.271329 | + | 0.271329i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.00000 | 0.180517 | 0.0902587 | − | 0.995918i | \(-0.471231\pi\) | ||||
0.0902587 | + | 0.995918i | \(0.471231\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 24.0000i | − | 1.08091i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.00000i | 0.269680i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −10.0000 | −0.448561 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.0000 | + | 27.0000i | −1.20869 | + | 1.20869i | −0.237233 | + | 0.971453i | \(0.576241\pi\) |
−0.971453 | + | 0.237233i | \(0.923759\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −26.0000 | + | 26.0000i | −1.16159 | + | 1.16159i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 14.0000i | − | 0.624229i | −0.950044 | − | 0.312115i | \(-0.898963\pi\) | ||
0.950044 | − | 0.312115i | \(-0.101037\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.0000 | + | 16.0000i | −0.711991 | + | 0.711991i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 24.0000 | + | 10.0000i | 1.06588 | + | 0.444116i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.0000 | + | 11.0000i | 0.487566 | + | 0.487566i | 0.907537 | − | 0.419971i | \(-0.137960\pi\) |
−0.419971 | + | 0.907537i | \(0.637960\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.0000 | 0.796273 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12.0000 | − | 12.0000i | −0.529813 | − | 0.529813i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 8.00000 | + | 8.00000i | 0.352522 | + | 0.352522i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 30.0000i | 1.31940i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −48.0000 | −2.10697 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 34.0000i | 1.48672i | 0.668894 | + | 0.743358i | \(0.266768\pi\) | ||||
−0.668894 | + | 0.743358i | \(0.733232\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6.00000 | + | 6.00000i | 0.261861 | + | 0.261861i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 12.0000 | + | 12.0000i | 0.522728 | + | 0.522728i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −23.0000 | −1.00000 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.00000 | − | 7.00000i | −0.303774 | − | 0.303774i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −5.00000 | − | 1.00000i | −0.216574 | − | 0.0433148i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.0000 | + | 14.0000i | −0.605273 | + | 0.605273i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 40.0000i | 1.72613i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.0000 | − | 15.0000i | 0.646096 | − | 0.646096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.00000 | + | 1.00000i | −0.0429934 | + | 0.0429934i | −0.728277 | − | 0.685283i | \(-0.759678\pi\) |
0.685283 | + | 0.728277i | \(0.259678\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.00000 | 0.343313 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 18.0000i | 0.771035i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 30.0000i | − | 1.28271i | −0.767245 | − | 0.641354i | \(-0.778373\pi\) | ||
0.767245 | − | 0.641354i | \(-0.221627\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.0000 | −0.597505 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 18.0000 | − | 18.0000i | 0.766826 | − | 0.766826i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.00000 | − | 6.00000i | 0.255146 | − | 0.255146i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | − | 12.0000i | − | 0.509372i | ||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 15.0000 | − | 15.0000i | 0.635570 | − | 0.635570i | −0.313889 | − | 0.949460i | \(-0.601632\pi\) |
0.949460 | + | 0.313889i | \(0.101632\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.0000 | − | 8.00000i | 0.507546 | − | 0.338364i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −24.0000 | − | 24.0000i | −1.01328 | − | 1.01328i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −20.0000 | −0.842900 | −0.421450 | − | 0.906852i | \(-0.638479\pi\) | ||||
−0.421450 | + | 0.906852i | \(0.638479\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.00000 | + | 2.00000i | 0.0841406 | + | 0.0841406i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −11.0000 | − | 11.0000i | −0.461957 | − | 0.461957i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.0000 | 0.836974 | 0.418487 | − | 0.908223i | \(-0.362561\pi\) | ||||
0.418487 | + | 0.908223i | \(0.362561\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20.0000 | −0.835512 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.00000 | + | 5.00000i | 0.208153 | + | 0.208153i | 0.803482 | − | 0.595329i | \(-0.202978\pi\) |
−0.595329 | + | 0.803482i | \(0.702978\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 10.0000 | + | 10.0000i | 0.415586 | + | 0.415586i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −14.0000 | −0.580818 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.0000 | + | 18.0000i | 0.745484 | + | 0.745484i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.00000 | − | 1.00000i | −0.206725 | − | 0.0413449i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.00000 | + | 7.00000i | −0.288921 | + | 0.288921i | −0.836653 | − | 0.547733i | \(-0.815491\pi\) |
0.547733 | + | 0.836653i | \(0.315491\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 18.0000i | 0.741677i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −14.0000 | + | 14.0000i | −0.575883 | + | 0.575883i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.00000 | + | 3.00000i | −0.123195 | + | 0.123195i | −0.766016 | − | 0.642821i | \(-0.777764\pi\) |
0.642821 | + | 0.766016i | \(0.277764\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.00000 | 0.327968 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 16.0000i | 0.654836i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 26.0000i | 1.06233i | 0.847268 | + | 0.531166i | \(0.178246\pi\) | ||||
−0.847268 | + | 0.531166i | \(0.821754\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.0000 | −1.06056 | −0.530281 | − | 0.847822i | \(-0.677914\pi\) | ||||
−0.530281 | + | 0.847822i | \(0.677914\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.00000 | + | 5.00000i | −0.203616 | + | 0.203616i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.00000 | − | 7.00000i | 0.284590 | − | 0.284590i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 42.0000i | 1.70473i | 0.522949 | + | 0.852364i | \(0.324832\pi\) | ||||
−0.522949 | + | 0.852364i | \(0.675168\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.0000 | − | 12.0000i | 0.486265 | − | 0.486265i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −25.0000 | − | 5.00000i | −1.01139 | − | 0.202278i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.00000 | − | 9.00000i | −0.363507 | − | 0.363507i | 0.501596 | − | 0.865102i | \(-0.332747\pi\) |
−0.865102 | + | 0.501596i | \(0.832747\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.00000 | 0.161296 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.0000 | − | 23.0000i | −0.925945 | − | 0.925945i | 0.0714958 | − | 0.997441i | \(-0.477223\pi\) |
−0.997441 | + | 0.0714958i | \(0.977223\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.00000 | + | 3.00000i | 0.120580 | + | 0.120580i | 0.764822 | − | 0.644242i | \(-0.222827\pi\) |
−0.644242 | + | 0.764822i | \(0.722827\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.0000 | 0.400642 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | − | 36.0000i | − | 1.43770i | ||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 12.0000 | + | 12.0000i | 0.478471 | + | 0.478471i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.00000 | + | 1.00000i | 0.0398094 | + | 0.0398094i | 0.726731 | − | 0.686922i | \(-0.241039\pi\) |
−0.686922 | + | 0.726731i | \(0.741039\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.0000 | −0.794929 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.0000 | + | 16.0000i | 0.634941 | + | 0.634941i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.0000 | + | 15.0000i | 0.396214 | + | 0.594322i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.00000 | − | 5.00000i | 0.197797 | − | 0.197797i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 36.0000i | − | 1.42191i | −0.703235 | − | 0.710957i | \(-0.748262\pi\) | ||
0.703235 | − | 0.710957i | \(-0.251738\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.00000 | + | 7.00000i | −0.276053 | + | 0.276053i | −0.831531 | − | 0.555478i | \(-0.812535\pi\) |
0.555478 | + | 0.831531i | \(0.312535\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.00000 | + | 8.00000i | −0.315000 | + | 0.315000i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −32.0000 | −1.25805 | −0.629025 | − | 0.777385i | \(-0.716546\pi\) | ||||
−0.629025 | + | 0.777385i | \(0.716546\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 42.0000i | 1.64864i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.0000i | 0.470317i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 18.0000 | 0.704394 | 0.352197 | − | 0.935926i | \(-0.385435\pi\) | ||||
0.352197 | + | 0.935926i | \(0.385435\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.0000 | + | 14.0000i | −0.547025 | + | 0.547025i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −9.00000 | + | 9.00000i | −0.351123 | + | 0.351123i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 34.0000i | 1.32445i | 0.749304 | + | 0.662226i | \(0.230388\pi\) | ||||
−0.749304 | + | 0.662226i | \(0.769612\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.0000 | − | 19.0000i | 0.739014 | − | 0.739014i | −0.233373 | − | 0.972387i | \(-0.574976\pi\) |
0.972387 | + | 0.233373i | \(0.0749763\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 24.0000 | − | 16.0000i | 0.932083 | − | 0.621389i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.00000 | + | 6.00000i | 0.232670 | + | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 14.0000 | + | 14.0000i | 0.541271 | + | 0.541271i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 42.0000 | + | 42.0000i | 1.62139 | + | 1.62139i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 44.0000i | − | 1.69608i | −0.529936 | − | 0.848038i | \(-0.677784\pi\) | ||
0.529936 | − | 0.848038i | \(-0.322216\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 12.0000 | 0.461880 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22.0000 | 0.845529 | 0.422764 | − | 0.906240i | \(-0.361060\pi\) | ||||
0.422764 | + | 0.906240i | \(0.361060\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.0000i | 0.997788i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 26.0000 | + | 26.0000i | 0.996322 | + | 0.996322i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.00000 | − | 5.00000i | −0.191320 | − | 0.191320i | 0.604946 | − | 0.796266i | \(-0.293195\pi\) |
−0.796266 | + | 0.604946i | \(0.793195\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.00000 | 0.229248 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.00000 | + | 6.00000i | 0.228914 | + | 0.228914i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −18.0000 | + | 12.0000i | −0.685745 | + | 0.457164i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.0000 | − | 21.0000i | 0.798878 | − | 0.798878i | −0.184041 | − | 0.982919i | \(-0.558918\pi\) |
0.982919 | + | 0.184041i | \(0.0589179\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − | 6.00000i | − | 0.227921i | ||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −22.0000 | + | 22.0000i | −0.834508 | + | 0.834508i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.00000 | + | 4.00000i | −0.151511 | + | 0.151511i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 32.0000 | 1.21035 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 28.0000i | − | 1.05755i | −0.848763 | − | 0.528773i | \(-0.822652\pi\) | ||
0.848763 | − | 0.528773i | \(-0.177348\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.0000i | 0.678883i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 20.0000 | 0.753244 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 16.0000 | − | 16.0000i | 0.601742 | − | 0.601742i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −33.0000 | + | 33.0000i | −1.23934 | + | 1.23934i | −0.279070 | + | 0.960271i | \(0.590026\pi\) |
−0.960271 | + | 0.279070i | \(0.909974\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.00000i | 0.225018i | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.0000 | + | 18.0000i | 0.448775 | + | 0.673162i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −34.0000 | − | 34.0000i | −1.26975 | − | 1.26975i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −40.0000 | −1.49175 | −0.745874 | − | 0.666087i | \(-0.767968\pi\) | ||||
−0.745874 | + | 0.666087i | \(0.767968\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | − | 8.00000i | −0.297936 | − | 0.297936i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −30.0000 | − | 30.0000i | −1.11571 | − | 1.11571i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 18.0000i | 0.668503i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 48.0000 | 1.78022 | 0.890111 | − | 0.455744i | \(-0.150627\pi\) | ||||
0.890111 | + | 0.455744i | \(0.150627\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 16.0000i | − | 0.591781i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.0000 | − | 17.0000i | −0.627909 | − | 0.627909i | 0.319632 | − | 0.947542i | \(-0.396441\pi\) |
−0.947542 | + | 0.319632i | \(0.896441\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −10.0000 | − | 10.0000i | −0.368856 | − | 0.368856i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 30.0000 | 1.10506 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.00000 | + | 7.00000i | 0.257499 | + | 0.257499i | 0.824036 | − | 0.566537i | \(-0.191717\pi\) |
−0.566537 | + | 0.824036i | \(0.691717\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 30.0000 | + | 6.00000i | 1.10208 | + | 0.220416i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.0000 | + | 13.0000i | −0.476924 | + | 0.476924i | −0.904146 | − | 0.427223i | \(-0.859492\pi\) |
0.427223 | + | 0.904146i | \(0.359492\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 26.0000i | 0.952566i | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.00000 | − | 7.00000i | 0.256117 | − | 0.256117i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 14.0000 | − | 14.0000i | 0.511549 | − | 0.511549i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 48.0000 | 1.75154 | 0.875772 | − | 0.482724i | \(-0.160353\pi\) | ||||
0.875772 | + | 0.482724i | \(0.160353\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 8.00000i | − | 0.291536i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 18.0000i | − | 0.655087i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.0000 | −1.52652 | −0.763258 | − | 0.646094i | \(-0.776401\pi\) | ||||
−0.763258 | + | 0.646094i | \(0.776401\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 29.0000 | − | 29.0000i | 1.05125 | − | 1.05125i | 0.0526354 | − | 0.998614i | \(-0.483238\pi\) |
0.998614 | − | 0.0526354i | \(-0.0167621\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 18.0000i | − | 0.651644i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.00000 | + | 4.00000i | −0.144620 | + | 0.144620i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −35.0000 | − | 7.00000i | −1.26378 | − | 0.252755i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.0000 | + | 17.0000i | 0.613036 | + | 0.613036i | 0.943736 | − | 0.330700i | \(-0.107285\pi\) |
−0.330700 | + | 0.943736i | \(0.607285\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −48.0000 | −1.72868 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 7.00000 | + | 7.00000i | 0.251773 | + | 0.251773i | 0.821697 | − | 0.569925i | \(-0.193028\pi\) |
−0.569925 | + | 0.821697i | \(0.693028\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.00000 | − | 9.00000i | −0.323290 | − | 0.323290i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 12.0000i | 0.430498i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.00000 | −0.214972 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.0000 | −1.07348 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 24.0000i | − | 0.857690i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.00000 | − | 2.00000i | −0.0713831 | − | 0.0713831i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.00000 | + | 3.00000i | 0.106938 | + | 0.106938i | 0.758552 | − | 0.651613i | \(-0.225907\pi\) |
−0.651613 | + | 0.758552i | \(0.725907\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −36.0000 | −1.28163 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.00000 | − | 2.00000i | −0.0711118 | − | 0.0711118i | ||||
\(792\) |