Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1440,2,Mod(721,1440)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1440, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1440.721");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1440 = 2^{5} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1440.k (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.4984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.399424.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 3x^{4} - 6x^{3} + 6x^{2} - 8x + 8 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 721.2 | ||
Root | \(0.264658 - 1.38923i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1440.721 |
Dual form | 1440.2.k.f.721.5 |
$q$-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 \(\left(\mathbb{Z}/1440\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(641\) | \(901\) | \(991\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(1\) |
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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | − 1.00000i | − 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.941367 | −0.355803 | −0.177902 | − | 0.984048i | \(-0.556931\pi\) | ||||
−0.177902 | + | 0.984048i | \(0.556931\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.49828i | 1.35628i | 0.734931 | + | 0.678141i | \(0.237214\pi\) | ||||
−0.734931 | + | 0.678141i | \(0.762786\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − 5.55691i | − 1.54121i | −0.637313 | − | 0.770605i | \(-0.719954\pi\) | ||||
0.637313 | − | 0.770605i | \(-0.280046\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −7.55691 | −1.83282 | −0.916410 | − | 0.400240i | \(-0.868927\pi\) | ||||
−0.916410 | + | 0.400240i | \(0.868927\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − 1.05863i | − 0.242867i | −0.992600 | − | 0.121434i | \(-0.961251\pi\) | ||||
0.992600 | − | 0.121434i | \(-0.0387491\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.05863 | −0.220740 | −0.110370 | − | 0.993891i | \(-0.535204\pi\) | ||||
−0.110370 | + | 0.993891i | \(0.535204\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.00000i | 0.371391i | 0.982607 | + | 0.185695i | \(0.0594537\pi\) | ||||
−0.982607 | + | 0.185695i | \(0.940546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.55691 | −0.638841 | −0.319420 | − | 0.947613i | \(-0.603488\pi\) | ||||
−0.319420 | + | 0.947613i | \(0.603488\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.941367i | 0.159120i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − 7.43965i | − 1.22307i | −0.791217 | − | 0.611535i | \(-0.790552\pi\) | ||||
0.791217 | − | 0.611535i | \(-0.209448\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.88273 | 0.606381 | 0.303191 | − | 0.952930i | \(-0.401948\pi\) | ||||
0.303191 | + | 0.952930i | \(0.401948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.88273i | 0.287114i | 0.989642 | + | 0.143557i | \(0.0458541\pi\) | ||||
−0.989642 | + | 0.143557i | \(0.954146\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −10.0552 | −1.46670 | −0.733350 | − | 0.679851i | \(-0.762045\pi\) | ||||
−0.733350 | + | 0.679851i | \(0.762045\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.11383 | −0.873404 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − 2.00000i | − 0.274721i | −0.990521 | − | 0.137361i | \(-0.956138\pi\) | ||||
0.990521 | − | 0.137361i | \(-0.0438619\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.49828 | 0.606548 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − 8.49828i | − 1.10638i | −0.833054 | − | 0.553191i | \(-0.813410\pi\) | ||||
0.833054 | − | 0.553191i | \(-0.186590\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.99656i | 1.15189i | 0.817488 | + | 0.575946i | \(0.195366\pi\) | ||||
−0.817488 | + | 0.575946i | \(0.804634\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.55691 | −0.689250 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000i | 0.488678i | 0.969690 | + | 0.244339i | \(0.0785709\pi\) | ||||
−0.969690 | + | 0.244339i | \(0.921429\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.9966 | −1.54241 | −0.771204 | − | 0.636588i | \(-0.780345\pi\) | ||||
−0.771204 | + | 0.636588i | \(0.780345\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − 4.23453i | − 0.482570i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.5569 | −1.30025 | −0.650127 | − | 0.759825i | \(-0.725284\pi\) | ||||
−0.650127 | + | 0.759825i | \(0.725284\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.88273i | 0.645714i | 0.946448 | + | 0.322857i | \(0.104643\pi\) | ||||
−0.946448 | + | 0.322857i | \(0.895357\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.55691i | 0.819662i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.11727 | 0.436429 | 0.218215 | − | 0.975901i | \(-0.429977\pi\) | ||||
0.218215 | + | 0.975901i | \(0.429977\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.23109i | 0.548368i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.05863 | −0.108613 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 17.1138 | 1.73765 | 0.868823 | − | 0.495123i | \(-0.164877\pi\) | ||||
0.868823 | + | 0.495123i | \(0.164877\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − 2.00000i | − 0.199007i | −0.995037 | − | 0.0995037i | \(-0.968274\pi\) | ||||
0.995037 | − | 0.0995037i | \(-0.0317255\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.1725 | −1.00232 | −0.501161 | − | 0.865354i | \(-0.667094\pi\) | ||||
−0.501161 | + | 0.865354i | \(0.667094\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − 17.2311i | − 1.66579i | −0.553429 | − | 0.832896i | \(-0.686681\pi\) | ||||
0.553429 | − | 0.832896i | \(-0.313319\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.88273i | 0.180333i | 0.995927 | + | 0.0901666i | \(0.0287399\pi\) | ||||
−0.995927 | + | 0.0901666i | \(0.971260\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −15.3224 | −1.44141 | −0.720704 | − | 0.693243i | \(-0.756181\pi\) | ||||
−0.720704 | + | 0.693243i | \(0.756181\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.05863i | 0.0987181i | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 7.11383 | 0.652124 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.23453 | −0.839503 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.1725 | 1.61255 | 0.806273 | − | 0.591544i | \(-0.201481\pi\) | ||||
0.806273 | + | 0.591544i | \(0.201481\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − 6.38101i | − 0.557512i | −0.960362 | − | 0.278756i | \(-0.910078\pi\) | ||||
0.960362 | − | 0.278756i | \(-0.0899220\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.996562i | 0.0864129i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.44309 | 0.379598 | 0.189799 | − | 0.981823i | \(-0.439216\pi\) | ||||
0.189799 | + | 0.981823i | \(0.439216\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − 20.1725i | − 1.71101i | −0.517798 | − | 0.855503i | \(-0.673248\pi\) | ||||
0.517798 | − | 0.855503i | \(-0.326752\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 24.9966 | 2.09032 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.00000 | 0.166091 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.00000i | 0.163846i | 0.996639 | + | 0.0819232i | \(0.0261062\pi\) | ||||
−0.996639 | + | 0.0819232i | \(0.973894\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.67418 | −0.787274 | −0.393637 | − | 0.919266i | \(-0.628783\pi\) | ||||
−0.393637 | + | 0.919266i | \(0.628783\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.55691i | 0.285698i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.32582i | 0.345238i | 0.984989 | + | 0.172619i | \(0.0552229\pi\) | ||||
−0.984989 | + | 0.172619i | \(0.944777\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.996562 | 0.0785401 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.11727i | 0.479141i | 0.970879 | + | 0.239571i | \(0.0770067\pi\) | ||||
−0.970879 | + | 0.239571i | \(0.922993\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.05520 | −0.468565 | −0.234283 | − | 0.972169i | \(-0.575274\pi\) | ||||
−0.234283 | + | 0.972169i | \(0.575274\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −17.8793 | −1.37533 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − 16.8793i | − 1.28331i | −0.766994 | − | 0.641655i | \(-0.778248\pi\) | ||||
0.766994 | − | 0.641655i | \(-0.221752\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.941367 | 0.0711606 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.6155i | 0.793443i | 0.917939 | + | 0.396722i | \(0.129852\pi\) | ||||
−0.917939 | + | 0.396722i | \(0.870148\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.1173i | 1.04933i | 0.851309 | + | 0.524664i | \(0.175809\pi\) | ||||
−0.851309 | + | 0.524664i | \(0.824191\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.43965 | −0.546974 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − 33.9931i | − 2.48582i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.00000 | −0.578860 | −0.289430 | − | 0.957199i | \(-0.593466\pi\) | ||||
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.87930 | −0.351219 | −0.175610 | − | 0.984460i | \(-0.556190\pi\) | ||||
−0.175610 | + | 0.984460i | \(0.556190\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.88617i | 0.205631i | 0.994700 | + | 0.102816i | \(0.0327852\pi\) | ||||
−0.994700 | + | 0.102816i | \(0.967215\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6742 | 1.25289 | 0.626445 | − | 0.779466i | \(-0.284509\pi\) | ||||
0.626445 | + | 0.779466i | \(0.284509\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − 1.88273i | − 0.132142i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − 3.88273i | − 0.271182i | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.76203 | 0.329396 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.9379i | 1.64795i | 0.566623 | + | 0.823977i | \(0.308250\pi\) | ||||
−0.566623 | + | 0.823977i | \(0.691750\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.88273 | 0.128401 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.34836 | 0.227302 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 41.9931i | 2.82476i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 24.0552 | 1.61086 | 0.805428 | − | 0.592694i | \(-0.201936\pi\) | ||||
0.805428 | + | 0.592694i | \(0.201936\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.1138i | 0.737651i | 0.929499 | + | 0.368825i | \(0.120240\pi\) | ||||
−0.929499 | + | 0.368825i | \(0.879760\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − 17.2311i | − 1.13866i | −0.822108 | − | 0.569331i | \(-0.807202\pi\) | ||||
0.822108 | − | 0.569331i | \(-0.192798\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.44309 | 0.553125 | 0.276562 | − | 0.960996i | \(-0.410805\pi\) | ||||
0.276562 | + | 0.960996i | \(0.410805\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.0552i | 0.655929i | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.1173 | 0.654432 | 0.327216 | − | 0.944950i | \(-0.393890\pi\) | ||||
0.327216 | + | 0.944950i | \(0.393890\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.8793 | 1.08729 | 0.543646 | − | 0.839315i | \(-0.317044\pi\) | ||||
0.543646 | + | 0.839315i | \(0.317044\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.11383i | 0.390598i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.88273 | −0.374309 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.8466i | 0.747753i | 0.927478 | + | 0.373877i | \(0.121972\pi\) | ||||
−0.927478 | + | 0.373877i | \(0.878028\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − 4.76203i | − 0.299386i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.6707 | 0.665623 | 0.332811 | − | 0.942993i | \(-0.392003\pi\) | ||||
0.332811 | + | 0.942993i | \(0.392003\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.00344i | 0.435172i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.94480 | −0.119922 | −0.0599609 | − | 0.998201i | \(-0.519098\pi\) | ||||
−0.0599609 | + | 0.998201i | \(0.519098\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.00000 | −0.122859 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − 9.76547i | − 0.595411i | −0.954658 | − | 0.297706i | \(-0.903779\pi\) | ||||
0.954658 | − | 0.297706i | \(-0.0962214\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.44652 | −0.209361 | −0.104681 | − | 0.994506i | \(-0.533382\pi\) | ||||
−0.104681 | + | 0.994506i | \(0.533382\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | − 4.49828i | − 0.271257i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − 18.7880i | − 1.12886i | −0.825480 | − | 0.564431i | \(-0.809096\pi\) | ||||
0.825480 | − | 0.564431i | \(-0.190904\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.8793 | 1.00693 | 0.503467 | − | 0.864014i | \(-0.332057\pi\) | ||||
0.503467 | + | 0.864014i | \(0.332057\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − 20.0000i | − 1.18888i | −0.804141 | − | 0.594438i | \(-0.797374\pi\) | ||||
0.804141 | − | 0.594438i | \(-0.202626\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.65508 | −0.215752 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 40.1070 | 2.35923 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 20.2277i | 1.18171i | 0.806777 | + | 0.590856i | \(0.201210\pi\) | ||||
−0.806777 | + | 0.590856i | \(0.798790\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.49828 | −0.494789 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.88273i | 0.340207i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − 1.77234i | − 0.102156i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.99656 | 0.515142 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − 8.11039i | − 0.462884i | −0.972849 | − | 0.231442i | \(-0.925656\pi\) | ||||
0.972849 | − | 0.231442i | \(-0.0743444\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 31.8759 | 1.80751 | 0.903757 | − | 0.428046i | \(-0.140798\pi\) | ||||
0.903757 | + | 0.428046i | \(0.140798\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.11383 | −0.289051 | −0.144525 | − | 0.989501i | \(-0.546166\pi\) | ||||
−0.144525 | + | 0.989501i | \(0.546166\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − 24.6448i | − 1.38419i | −0.721807 | − | 0.692094i | \(-0.756688\pi\) | ||||
0.721807 | − | 0.692094i | \(-0.243312\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.99656 | −0.503711 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.00000i | 0.445132i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.55691i | 0.308242i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.46563 | 0.521857 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.0518i | 0.607460i | 0.952758 | + | 0.303730i | \(0.0982320\pi\) | ||||
−0.952758 | + | 0.303730i | \(0.901768\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.00000 | 0.218543 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.9931 | −1.08909 | −0.544547 | − | 0.838730i | \(-0.683299\pi\) | ||||
−0.544547 | + | 0.838730i | \(0.683299\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − 16.0000i | − 0.866449i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.3449 | 0.666563 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − 6.87930i | − 0.369300i | −0.982804 | − | 0.184650i | \(-0.940885\pi\) | ||||
0.982804 | − | 0.184650i | \(-0.0591151\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − 4.76203i | − 0.254906i | −0.991845 | − | 0.127453i | \(-0.959320\pi\) | ||||
0.991845 | − | 0.127453i | \(-0.0406801\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.79145 | 0.201798 | 0.100899 | − | 0.994897i | \(-0.467828\pi\) | ||||
0.100899 | + | 0.994897i | \(0.467828\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.9966i | 0.689786i | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.9966 | −0.685932 | −0.342966 | − | 0.939348i | \(-0.611432\pi\) | ||||
−0.342966 | + | 0.939348i | \(0.611432\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.8793 | 0.941016 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.00000i | 0.314054i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.9345 | −1.19717 | −0.598585 | − | 0.801059i | \(-0.704270\pi\) | ||||
−0.598585 | + | 0.801059i | \(0.704270\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.88273i | 0.0977467i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.4396i | 0.799435i | 0.916638 | + | 0.399717i | \(0.130892\pi\) | ||||
−0.916638 | + | 0.399717i | \(0.869108\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.1138 | 0.572391 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.28973i | 0.323082i | 0.986866 | + | 0.161541i | \(0.0516463\pi\) | ||||
−0.986866 | + | 0.161541i | \(0.948354\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.94137 | 0.150297 | 0.0751484 | − | 0.997172i | \(-0.476057\pi\) | ||||
0.0751484 | + | 0.997172i | \(0.476057\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.23453 | −0.215812 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − 12.2277i | − 0.619967i | −0.950742 | − | 0.309983i | \(-0.899676\pi\) | ||||
0.950742 | − | 0.309983i | \(-0.100324\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.00000 | 0.404577 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 11.5569i | 0.581491i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − 5.32238i | − 0.267123i | −0.991041 | − | 0.133561i | \(-0.957359\pi\) | ||||
0.991041 | − | 0.133561i | \(-0.0426413\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −6.99656 | −0.349392 | −0.174696 | − | 0.984622i | \(-0.555894\pi\) | ||||
−0.174696 | + | 0.984622i | \(0.555894\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.7655i | 0.984588i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 33.4656 | 1.65883 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.2277 | 0.802406 | 0.401203 | − | 0.915989i | \(-0.368592\pi\) | ||||
0.401203 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 8.00000i | 0.393654i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.88273 | 0.288772 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − 15.6121i | − 0.762701i | −0.924430 | − | 0.381351i | \(-0.875459\pi\) | ||||
0.924430 | − | 0.381351i | \(-0.124541\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 33.2311i | 1.61958i | 0.586717 | + | 0.809792i | \(0.300420\pi\) | ||||
−0.586717 | + | 0.809792i | \(0.699580\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.55691 | 0.366564 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − 8.46907i | − 0.409847i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.9966 | −0.626022 | −0.313011 | − | 0.949749i | \(-0.601338\pi\) | ||||
−0.313011 | + | 0.949749i | \(0.601338\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.2277 | 0.972079 | 0.486040 | − | 0.873937i | \(-0.338441\pi\) | ||||
0.486040 | + | 0.873937i | \(0.338441\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.12070i | 0.0536106i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.43965 | 0.259620 | 0.129810 | − | 0.991539i | \(-0.458563\pi\) | ||||
0.129810 | + | 0.991539i | \(0.458563\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − 15.3484i | − 0.729223i | −0.931160 | − | 0.364611i | \(-0.881202\pi\) | ||||
0.931160 | − | 0.364611i | \(-0.118798\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | − 4.11727i | − 0.195177i | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.22766 | −0.199515 | −0.0997577 | − | 0.995012i | \(-0.531807\pi\) | ||||
−0.0997577 | + | 0.995012i | \(0.531807\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.4656i | 0.822424i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.23109 | 0.245238 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.65164 | 0.124038 | 0.0620192 | − | 0.998075i | \(-0.480246\pi\) | ||||
0.0620192 | + | 0.998075i | \(0.480246\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.2345i | 0.476670i | 0.971183 | + | 0.238335i | \(0.0766016\pi\) | ||||
−0.971183 | + | 0.238335i | \(0.923398\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.0586 | −0.885730 | −0.442865 | − | 0.896588i | \(-0.646038\pi\) | ||||
−0.442865 | + | 0.896588i | \(0.646038\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − 4.11039i | − 0.190206i | −0.995467 | − | 0.0951031i | \(-0.969682\pi\) | ||||
0.995467 | − | 0.0951031i | \(-0.0303181\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − 3.76547i | − 0.173873i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.46907 | −0.389408 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.05863i | 0.0485734i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −25.2311 | −1.15284 | −0.576419 | − | 0.817154i | \(-0.695550\pi\) | ||||
−0.576419 | + | 0.817154i | \(0.695550\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −41.3415 | −1.88501 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − 17.1138i | − 0.777099i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.9379 | 0.994102 | 0.497051 | − | 0.867721i | \(-0.334416\pi\) | ||||
0.497051 | + | 0.867721i | \(0.334416\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − 7.50172i | − 0.338548i | −0.985569 | − | 0.169274i | \(-0.945858\pi\) | ||||
0.985569 | − | 0.169274i | \(-0.0541423\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − 15.1138i | − 0.680693i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 12.2345 | 0.548794 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.1690i | 1.30578i | 0.757451 | + | 0.652892i | \(0.226445\pi\) | ||||
−0.757451 | + | 0.652892i | \(0.773555\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −23.9379 | −1.06734 | −0.533670 | − | 0.845693i | \(-0.679187\pi\) | ||||
−0.533670 | + | 0.845693i | \(0.679187\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.00000 | −0.0889988 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − 28.6967i | − 1.27196i | −0.771706 | − | 0.635980i | \(-0.780596\pi\) | ||||
0.771706 | − | 0.635980i | \(-0.219404\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.64820 | 0.249862 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.1725i | 0.448252i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − 45.2311i | − 1.98926i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − 25.7586i | − 1.12634i | −0.826340 | − | 0.563172i | \(-0.809581\pi\) | ||||
0.826340 | − | 0.563172i | \(-0.190419\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.8793 | 1.17088 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.8793 | −0.951274 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − 21.5760i | − 0.934561i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.2311 | −0.744965 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − 27.5017i | − 1.18458i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.3449i | 0.530750i | 0.964145 | + | 0.265375i | \(0.0854957\pi\) | ||||
−0.964145 | + | 0.265375i | \(0.914504\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.88273 | 0.0806475 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.8759i | 0.849830i | 0.905233 | + | 0.424915i | \(0.139696\pi\) | ||||
−0.905233 | + | 0.424915i | \(0.860304\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.11727 | 0.0901986 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.8793 | 0.462635 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − 3.12070i | − 0.132228i | −0.997812 | − | 0.0661142i | \(-0.978940\pi\) | ||||
0.997812 | − | 0.0661142i | \(-0.0210602\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.4622 | 0.442503 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − 0.651639i | − 0.0274633i | −0.999906 | − | 0.0137317i | \(-0.995629\pi\) | ||||
0.999906 | − | 0.0137317i | \(-0.00437106\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 15.3224i | 0.644617i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −26.9966 | −1.13175 | −0.565877 | − | 0.824489i | \(-0.691462\pi\) | ||||
−0.565877 | + | 0.824489i | \(0.691462\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − 14.9414i | − 0.625277i | −0.949872 | − | 0.312638i | \(-0.898787\pi\) | ||||
0.949872 | − | 0.312638i | \(-0.101213\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.05863 | 0.0441481 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.87930 | −0.369650 | −0.184825 | − | 0.982771i | \(-0.559172\pi\) | ||||
−0.184825 | + | 0.982771i | \(0.559172\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − 5.53781i | − 0.229747i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.99656 | 0.372600 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.23109i | 0.0508127i | 0.999677 | + | 0.0254064i | \(0.00808797\pi\) | ||||
−0.999677 | + | 0.0254064i | \(0.991912\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.76547i | 0.155153i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.55691 | −0.146065 | −0.0730325 | − | 0.997330i | \(-0.523268\pi\) | ||||
−0.0730325 | + | 0.997330i | \(0.523268\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − 7.11383i | − 0.291639i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −19.2242 | −0.785480 | −0.392740 | − | 0.919649i | \(-0.628473\pi\) | ||||
−0.392740 | + | 0.919649i | \(0.628473\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −27.7586 | −1.13230 | −0.566148 | − | 0.824303i | \(-0.691567\pi\) | ||||
−0.566148 | + | 0.824303i | \(0.691567\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 9.23453i | 0.375437i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.16902 | −0.290982 | −0.145491 | − | 0.989360i | \(-0.546476\pi\) | ||||
−0.145491 | + | 0.989360i | \(0.546476\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 55.8759i | 2.26050i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.55691i | 0.386000i | 0.981199 | + | 0.193000i | \(0.0618218\pi\) | ||||
−0.981199 | + | 0.193000i | \(0.938178\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.32926 | −0.0535139 | −0.0267569 | − | 0.999642i | \(-0.508518\pi\) | ||||
−0.0267569 | + | 0.999642i | \(0.508518\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − 28.1725i | − 1.13235i | −0.824286 | − | 0.566173i | \(-0.808423\pi\) | ||||
0.824286 | − | 0.566173i | \(-0.191577\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.87586 | −0.155283 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 56.2208i | 2.24167i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.3224 | 0.928449 | 0.464225 | − | 0.885717i | \(-0.346333\pi\) | ||||
0.464225 | + | 0.885717i | \(0.346333\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | − 18.1725i | − 0.721152i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 33.9740i | 1.34610i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.1070 | −1.07066 | −0.535330 | − | 0.844643i | \(-0.679813\pi\) | ||||
−0.535330 | + | 0.844643i | \(0.679813\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − 20.3449i | − 0.802325i | −0.916007 | − | 0.401163i | \(-0.868606\pi\) | ||||
0.916007 | − | 0.401163i | \(-0.131394\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 37.6965 | 1.48200 | 0.741002 | − | 0.671503i | \(-0.234351\pi\) | ||||
0.741002 | + | 0.671503i | \(0.234351\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 38.2277 | 1.50057 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.64476i | 0.338296i | 0.985591 | + | 0.169148i | \(0.0541015\pi\) | ||||
−0.985591 | + | 0.169148i | \(0.945898\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.38101 | −0.249327 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.2603i | 1.13982i | 0.821707 | + | 0.569910i | \(0.193022\pi\) | ||||
−0.821707 | + | 0.569910i | \(0.806978\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.7620i | 1.11871i | 0.828927 | + | 0.559357i | \(0.188952\pi\) | ||||
−0.828927 | + | 0.559357i | \(0.811048\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.996562 | 0.0386450 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − 2.11727i | − 0.0819809i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −40.4691 | −1.56229 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.0000 | −0.693849 | −0.346925 | − | 0.937893i | \(-0.612774\pi\) | ||||
−0.346925 | + | 0.937893i | \(0.612774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 42.8724i | 1.64772i | 0.566793 | + | 0.823860i | \(0.308184\pi\) | ||||
−0.566793 | + | 0.823860i | \(0.691816\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.1104 | −0.618260 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − 26.1173i | − 0.999349i | −0.866213 | − | 0.499675i | \(-0.833453\pi\) | ||||
0.866213 | − | 0.499675i | \(-0.166547\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − 4.44309i | − 0.169762i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.1138 | −0.423403 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.29317i | 0.201362i | 0.994919 | + | 0.100681i | \(0.0321021\pi\) | ||||
−0.994919 | + | 0.100681i | \(0.967898\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −20.1725 | −0.765185 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −29.3415 | −1.11139 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − 7.99312i | − 0.301896i | −0.988542 | − | 0.150948i | \(-0.951767\pi\) | ||||
0.988542 | − | 0.150948i | \(-0.0482326\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.87586 | −0.297044 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.88273i | 0.0708075i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − 28.9966i | − 1.08899i | −0.838764 | − | 0.544494i | \(-0.816722\pi\) | ||||
0.838764 | − | 0.544494i | \(-0.183278\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.76547 | 0.141018 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − 24.9966i | − 0.934818i | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 26.8793 | 1.00243 | 0.501214 | − | 0.865323i | \(-0.332887\pi\) | ||||
0.501214 | + | 0.865323i | \(0.332887\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.57602 | 0.356630 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | − 2.00000i | − 0.0742781i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −41.8138 | −1.55079 | −0.775394 | − | 0.631478i | \(-0.782449\pi\) | ||||
−0.775394 | + | 0.631478i | \(0.782449\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − 14.2277i | − 0.526229i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.0844i | 1.11119i | 0.831452 | + | 0.555597i | \(0.187510\pi\) | ||||
−0.831452 | + | 0.555597i | \(0.812490\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.9931 | −0.662785 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − 29.0449i | − 1.06843i | −0.845348 | − | 0.534217i | \(-0.820607\pi\) | ||||
0.845348 | − | 0.534217i | \(-0.179393\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −43.2863 | −1.58802 | −0.794010 | − | 0.607905i | \(-0.792010\pi\) | ||||
−0.794010 | + | 0.607905i | \(0.792010\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.00000 | 0.0732743 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 16.2208i | 0.592694i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.7846 | −1.52474 | −0.762370 | − | 0.647141i | \(-0.775964\pi\) | ||||
−0.762370 | + | 0.647141i | \(0.775964\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.67418i | 0.352079i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − 16.3258i | − 0.593372i | −0.954975 | − | 0.296686i | \(-0.904119\pi\) | ||||
0.954975 | − | 0.296686i | \(-0.0958815\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −50.2208 | −1.82050 | −0.910251 | − | 0.414057i | \(-0.864111\pi\) | ||||
−0.910251 | + | 0.414057i | \(0.864111\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − 1.77234i | − 0.0641631i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −47.2242 | −1.70517 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −31.3415 | −1.13020 | −0.565101 | − | 0.825021i | \(-0.691163\pi\) | ||||
−0.565101 | + | 0.825021i | \(0.691163\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.11383i | 0.327802i | 0.986477 | + | 0.163901i | \(0.0524077\pi\) | ||||
−0.986477 | + | 0.163901i | \(0.947592\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.55691 | 0.127768 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − 4.11039i | − 0.147270i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − 58.4622i | − 2.09194i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.32582 | 0.154395 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − 36.2208i | − 1.29113i | −0.763705 | − | 0.645566i | \(-0.776622\pi\) | ||||
0.763705 | − | 0.645566i | \(-0.223378\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 14.4240 | 0.512858 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 49.9931 | 1.77531 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − 10.0000i | − 0.354218i | −0.984191 | − | 0.177109i | \(-0.943325\pi\) | ||||
0.984191 | − | 0.177109i | \(-0.0566745\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 75.9862 | 2.68820 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | − 26.9897i | − 0.952445i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − 0.996562i | − 0.0351242i | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −47.5760 | −1.67268 | −0.836342 | − | 0.548208i | \(-0.815310\pi\) | ||||
−0.836342 | + | 0.548208i | \(0.815310\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − 20.5174i | − 0.720463i | −0.932863 | − | 0.360231i | \(-0.882698\pi\) | ||||
0.932863 | − | 0.360231i | \(-0.117302\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.11727 | 0.214278 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.99312 | 0.0697306 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 44.4622i | − 1.55174i | −0.630892 | − | 0.775871i | \(-0.717311\pi\) | ||||
0.630892 | − | 0.775871i | \(-0.282689\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −32.1656 | −1.12122 | −0.560611 | − | 0.828079i | \(-0.689434\pi\) | ||||
−0.560611 | + | 0.828079i | \(0.689434\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − 20.0000i | − 0.695468i | −0.937593 | − | 0.347734i | \(-0.886951\pi\) | ||||
0.937593 | − | 0.347734i | \(-0.113049\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.8827i | 1.17680i | 0.808571 | + | 0.588398i | \(0.200241\pi\) | ||||
−0.808571 | + | 0.588398i | \(0.799759\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 46.2017 | 1.60079 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.05520i | 0.209549i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.52750 | 0.156307 | 0.0781533 | − | 0.996941i | \(-0.475098\pi\) | ||||
0.0781533 | + | 0.996941i | \(0.475098\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.0000 | 0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 17.8793i | 0.615066i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.69308 | 0.298698 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.87586i | 0.269981i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − 50.4293i | − 1.72667i | −0.504633 | − | 0.863334i | \(-0.668372\pi\) | ||||
0.504633 | − | 0.863334i | \(-0.331628\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26.4362 | −0.903044 | −0.451522 | − | 0.892260i | \(-0.649119\pi\) | ||||
−0.451522 | + | 0.892260i | \(0.649119\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − 0.406994i | − 0.0138865i | −0.999976 | − | 0.00694323i | \(-0.997790\pi\) | ||||
0.999976 | − | 0.00694323i | \(-0.00221012\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −29.9311 | −1.01886 | −0.509432 | − | 0.860511i | \(-0.670145\pi\) | ||||
−0.509432 | + | 0.860511i | \(0.670145\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.8793 | −0.573913 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − 51.9862i | − 1.76351i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.2277 | 0.753155 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − 0.941367i | − 0.0318240i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − 11.2051i | − 0.378370i | −0.981941 | − | 0.189185i | \(-0.939415\pi\) | ||||
0.981941 | − | 0.189185i | \(-0.0605846\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 48.3380 | 1.62855 | 0.814275 | − | 0.580479i | \(-0.197135\pi\) | ||||
0.814275 | + | 0.580479i | \(0.197135\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 50.5726i | 1.70190i | 0.525244 | + | 0.850951i | \(0.323974\pi\) | ||||
−0.525244 | + | 0.850951i | \(0.676026\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −48.0483 | −1.61330 | −0.806652 | − | 0.591026i | \(-0.798723\pi\) | ||||
−0.806652 | + | 0.591026i | \(0.798723\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.1070 | −0.573749 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.6448i | 0.356213i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.6155 | 0.354839 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 7.11383i | − 0.237259i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 15.1138i | 0.503515i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.1173 | 0.469274 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.46219i | 0.214573i | 0.994228 | + | 0.107287i | \(0.0342163\pi\) | ||||
−0.994228 | + | 0.107287i | \(0.965784\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 50.3380 | 1.66777 | 0.833887 | − | 0.551935i | \(-0.186110\pi\) | ||||
0.833887 | + | 0.551935i | \(0.186110\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −26.4622 | −0.875771 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.00688i | 0.198365i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −46.4362 | −1.53179 | −0.765895 | − | 0.642966i | \(-0.777704\pi\) | ||||
−0.765895 | + | 0.642966i | \(0.777704\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 72.2208i | 2.37718i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.43965i | 0.244614i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 35.9931 | 1.18090 | 0.590448 | − | 0.807076i | \(-0.298951\pi\) | ||||
0.590448 | + | 0.807076i | \(0.298951\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.47230i | 0.212121i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −33.9931 | −1.11169 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.70360 | 0.0883227 | 0.0441613 | − | 0.999024i | \(-0.485938\pi\) | ||||
0.0441613 | + | 0.999024i | \(0.485938\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.7655i | 0.579138i | 0.957157 | + | 0.289569i | \(0.0935119\pi\) | ||||
−0.957157 | + | 0.289569i | \(0.906488\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.11039 | −0.133853 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − 26.2277i | − 0.852284i | −0.904656 | − | 0.426142i | \(-0.859872\pi\) | ||||
0.904656 | − | 0.426142i | \(-0.140128\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 33.3415i | 1.08231i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.09472 | −0.294607 | −0.147304 | − | 0.989091i | \(-0.547059\pi\) | ||||
−0.147304 | + | 0.989091i | \(0.547059\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.00000i | 0.258874i | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.18257 | −0.135062 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.3484 | −0.591883 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.87930i | 0.157070i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.47574 | 0.240404 | 0.120202 | − | 0.992749i | \(-0.461646\pi\) | ||||
0.120202 | + | 0.992749i | \(0.461646\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − 41.0777i | − 1.31825i | −0.752035 | − | 0.659124i | \(-0.770927\pi\) | ||||
0.752035 | − | 0.659124i | \(-0.229073\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 18.9897i | 0.608781i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.20855 | 0.134644 | 0.0673218 | − | 0.997731i | \(-0.478555\pi\) | ||||
0.0673218 | + | 0.997731i | \(0.478555\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.5206i | 0.591922i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −8.35504 | −0.266484 | −0.133242 | − | 0.991084i | \(-0.542539\pi\) | ||||
−0.133242 | + | 0.991084i | \(0.542539\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.88617 | 0.0919611 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − 1.99312i | − 0.0633777i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.9087 | 0.441825 | 0.220912 | − | 0.975294i | \(-0.429097\pi\) | ||||
0.220912 | + | 0.975294i | \(0.429097\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − 17.6742i | − 0.560309i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 34.8984i | 1.10524i | 0.833432 | + | 0.552622i | \(0.186373\pi\) | ||||
−0.833432 | + | 0.552622i | \(0.813627\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))