Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1350,2,Mod(451,1350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1350, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1350.451");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1350 = 2 \cdot 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1350.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.7798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 90) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 901.2 | ||
Root | \(1.68614 + 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1350.901 |
Dual form | 1350.2.e.l.451.2 |
$q$-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 \(\left(\mathbb{Z}/1350\mathbb{Z}\right)^\times\).
\(n\) | \(1001\) | \(1027\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.68614 | + | 2.92048i | 0.637301 | + | 1.10384i | 0.986023 | + | 0.166612i | \(0.0532826\pi\) |
−0.348721 | + | 0.937226i | \(0.613384\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.18614 | − | 3.78651i | −0.659146 | − | 1.14167i | −0.980837 | − | 0.194830i | \(-0.937584\pi\) |
0.321691 | − | 0.946845i | \(-0.395749\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.37228 | + | 5.84096i | −0.935303 | + | 1.61999i | −0.161209 | + | 0.986920i | \(0.551539\pi\) |
−0.774094 | + | 0.633071i | \(0.781794\pi\) | |||||||
\(14\) | −1.68614 | + | 2.92048i | −0.450640 | + | 0.780531i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.62772 | −0.394780 | −0.197390 | − | 0.980325i | \(-0.563246\pi\) | ||||
−0.197390 | + | 0.980325i | \(0.563246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.37228 | −0.544239 | −0.272119 | − | 0.962264i | \(-0.587725\pi\) | ||||
−0.272119 | + | 0.962264i | \(0.587725\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.18614 | − | 3.78651i | 0.466087 | − | 0.807286i | ||||
\(23\) | −0.686141 | + | 1.18843i | −0.143070 | + | 0.247805i | −0.928651 | − | 0.370954i | \(-0.879031\pi\) |
0.785581 | + | 0.618759i | \(0.212364\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.74456 | −1.32272 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.37228 | −0.637301 | ||||||||
\(29\) | 0.686141 | + | 1.18843i | 0.127413 | + | 0.220686i | 0.922674 | − | 0.385582i | \(-0.125999\pi\) |
−0.795261 | + | 0.606268i | \(0.792666\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.37228 | + | 4.10891i | −0.426074 | + | 0.737982i | −0.996520 | − | 0.0833529i | \(-0.973437\pi\) |
0.570446 | + | 0.821335i | \(0.306770\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.813859 | − | 1.40965i | −0.139576 | − | 0.241752i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.00000 | 0.657596 | 0.328798 | − | 0.944400i | \(-0.393356\pi\) | ||||
0.328798 | + | 0.944400i | \(0.393356\pi\) | |||||||
\(38\) | −1.18614 | − | 2.05446i | −0.192417 | − | 0.333277i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.50000 | + | 2.59808i | −0.234261 | + | 0.405751i | −0.959058 | − | 0.283211i | \(-0.908600\pi\) |
0.724797 | + | 0.688963i | \(0.241934\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.81386 | − | 4.87375i | −0.429110 | − | 0.743240i | 0.567685 | − | 0.823246i | \(-0.307839\pi\) |
−0.996794 | + | 0.0800065i | \(0.974506\pi\) | |||||||
\(44\) | 4.37228 | 0.659146 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.37228 | −0.202332 | ||||||||
\(47\) | 3.68614 | + | 6.38458i | 0.537679 | + | 0.931287i | 0.999029 | + | 0.0440687i | \(0.0140321\pi\) |
−0.461350 | + | 0.887218i | \(0.652635\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.18614 | + | 3.78651i | −0.312306 | + | 0.540930i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.37228 | − | 5.84096i | −0.467651 | − | 0.809996i | ||||
\(53\) | −11.4891 | −1.57815 | −0.789076 | − | 0.614295i | \(-0.789440\pi\) | ||||
−0.789076 | + | 0.614295i | \(0.789440\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.68614 | − | 2.92048i | −0.225320 | − | 0.390266i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.686141 | + | 1.18843i | −0.0900947 | + | 0.156049i | ||||
\(59\) | 2.18614 | − | 3.78651i | 0.284611 | − | 0.492961i | −0.687904 | − | 0.725802i | \(-0.741469\pi\) |
0.972515 | + | 0.232841i | \(0.0748021\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.05842 | + | 7.02939i | 0.519628 | + | 0.900022i | 0.999740 | + | 0.0228144i | \(0.00726267\pi\) |
−0.480112 | + | 0.877207i | \(0.659404\pi\) | |||||||
\(62\) | −4.74456 | −0.602560 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.50000 | + | 6.06218i | −0.427593 | + | 0.740613i | −0.996659 | − | 0.0816792i | \(-0.973972\pi\) |
0.569066 | + | 0.822292i | \(0.307305\pi\) | |||||||
\(68\) | 0.813859 | − | 1.40965i | 0.0986949 | − | 0.170945i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.11684 | −0.364799 | −0.182399 | − | 0.983225i | \(-0.558386\pi\) | ||||
−0.182399 | + | 0.983225i | \(0.558386\pi\) | |||||||
\(74\) | 2.00000 | + | 3.46410i | 0.232495 | + | 0.402694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.18614 | − | 2.05446i | 0.136060 | − | 0.235662i | ||||
\(77\) | 7.37228 | − | 12.7692i | 0.840149 | − | 1.45518i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.00000 | − | 1.73205i | −0.112509 | − | 0.194871i | 0.804272 | − | 0.594261i | \(-0.202555\pi\) |
−0.916781 | + | 0.399390i | \(0.869222\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.00000 | −0.331295 | ||||||||
\(83\) | −3.68614 | − | 6.38458i | −0.404607 | − | 0.700799i | 0.589669 | − | 0.807645i | \(-0.299258\pi\) |
−0.994276 | + | 0.106846i | \(0.965925\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.81386 | − | 4.87375i | 0.303426 | − | 0.525550i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.18614 | + | 3.78651i | 0.233043 | + | 0.403643i | ||||
\(89\) | −16.1168 | −1.70838 | −0.854191 | − | 0.519959i | \(-0.825947\pi\) | ||||
−0.854191 | + | 0.519959i | \(0.825947\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −22.7446 | −2.38428 | ||||||||
\(92\) | −0.686141 | − | 1.18843i | −0.0715351 | − | 0.123902i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.68614 | + | 6.38458i | −0.380196 | + | 0.658519i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.18614 | − | 7.25061i | −0.425038 | − | 0.736188i | 0.571386 | − | 0.820682i | \(-0.306406\pi\) |
−0.996424 | + | 0.0844938i | \(0.973073\pi\) | |||||||
\(98\) | −4.37228 | −0.441667 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.37228 | + | 2.37686i | 0.136547 | + | 0.236507i | 0.926187 | − | 0.377064i | \(-0.123066\pi\) |
−0.789640 | + | 0.613570i | \(0.789733\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.00000 | + | 13.8564i | −0.788263 | + | 1.36531i | 0.138767 | + | 0.990325i | \(0.455686\pi\) |
−0.927030 | + | 0.374987i | \(0.877647\pi\) | |||||||
\(104\) | 3.37228 | − | 5.84096i | 0.330679 | − | 0.572754i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.74456 | − | 9.94987i | −0.557961 | − | 0.966417i | ||||
\(107\) | 8.48913 | 0.820675 | 0.410337 | − | 0.911934i | \(-0.365411\pi\) | ||||
0.410337 | + | 0.911934i | \(0.365411\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.3723 | 1.47240 | 0.736199 | − | 0.676765i | \(-0.236619\pi\) | ||||
0.736199 | + | 0.676765i | \(0.236619\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.68614 | − | 2.92048i | 0.159325 | − | 0.275960i | ||||
\(113\) | −1.62772 | + | 2.81929i | −0.153123 | + | 0.265217i | −0.932374 | − | 0.361495i | \(-0.882266\pi\) |
0.779251 | + | 0.626712i | \(0.215600\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.37228 | −0.127413 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.37228 | 0.402501 | ||||||||
\(119\) | −2.74456 | − | 4.75372i | −0.251594 | − | 0.435773i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.05842 | + | 7.02939i | −0.368947 | + | 0.639036i | ||||
\(122\) | −4.05842 | + | 7.02939i | −0.367432 | + | 0.636411i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.37228 | − | 4.10891i | −0.213037 | − | 0.368991i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.11684 | 0.720253 | 0.360127 | − | 0.932903i | \(-0.382733\pi\) | ||||
0.360127 | + | 0.932903i | \(0.382733\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.37228 | + | 2.37686i | −0.119897 | + | 0.207667i | −0.919727 | − | 0.392560i | \(-0.871590\pi\) |
0.799830 | + | 0.600227i | \(0.204923\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.00000 | − | 6.92820i | −0.346844 | − | 0.600751i | ||||
\(134\) | −7.00000 | −0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.62772 | 0.139576 | ||||||||
\(137\) | 9.55842 | + | 16.5557i | 0.816631 | + | 1.41445i | 0.908151 | + | 0.418643i | \(0.137494\pi\) |
−0.0915197 | + | 0.995803i | \(0.529172\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.441578 | + | 0.764836i | −0.0374542 | + | 0.0648725i | −0.884145 | − | 0.467213i | \(-0.845258\pi\) |
0.846691 | + | 0.532085i | \(0.178591\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.00000 | + | 5.19615i | 0.251754 | + | 0.436051i | ||||
\(143\) | 29.4891 | 2.46600 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.55842 | − | 2.69927i | −0.128976 | − | 0.223393i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.00000 | + | 3.46410i | −0.164399 | + | 0.284747i | ||||
\(149\) | 0.941578 | − | 1.63086i | 0.0771371 | − | 0.133605i | −0.824877 | − | 0.565313i | \(-0.808755\pi\) |
0.902014 | + | 0.431708i | \(0.142089\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.00000 | + | 8.66025i | 0.406894 | + | 0.704761i | 0.994540 | − | 0.104357i | \(-0.0332784\pi\) |
−0.587646 | + | 0.809118i | \(0.699945\pi\) | |||||||
\(152\) | 2.37228 | 0.192417 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.7446 | 1.18815 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.37228 | + | 5.84096i | −0.269137 | + | 0.466160i | −0.968639 | − | 0.248471i | \(-0.920072\pi\) |
0.699502 | + | 0.714631i | \(0.253405\pi\) | |||||||
\(158\) | 1.00000 | − | 1.73205i | 0.0795557 | − | 0.137795i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.62772 | −0.364715 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 21.4891 | 1.68316 | 0.841579 | − | 0.540134i | \(-0.181626\pi\) | ||||
0.841579 | + | 0.540134i | \(0.181626\pi\) | |||||||
\(164\) | −1.50000 | − | 2.59808i | −0.117130 | − | 0.202876i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.68614 | − | 6.38458i | 0.286100 | − | 0.495540i | ||||
\(167\) | −6.68614 | + | 11.5807i | −0.517389 | + | 0.896144i | 0.482407 | + | 0.875947i | \(0.339763\pi\) |
−0.999796 | + | 0.0201970i | \(0.993571\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −16.2446 | − | 28.1364i | −1.24958 | − | 2.16434i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.62772 | 0.429110 | ||||||||
\(173\) | −10.3723 | − | 17.9653i | −0.788590 | − | 1.36588i | −0.926831 | − | 0.375479i | \(-0.877478\pi\) |
0.138241 | − | 0.990399i | \(-0.455855\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.18614 | + | 3.78651i | −0.164787 | + | 0.285419i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.05842 | − | 13.9576i | −0.604004 | − | 1.04617i | ||||
\(179\) | 14.7446 | 1.10206 | 0.551030 | − | 0.834485i | \(-0.314235\pi\) | ||||
0.551030 | + | 0.834485i | \(0.314235\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.8614 | 1.55062 | 0.775308 | − | 0.631583i | \(-0.217595\pi\) | ||||
0.775308 | + | 0.631583i | \(0.217595\pi\) | |||||||
\(182\) | −11.3723 | − | 19.6974i | −0.842970 | − | 1.46007i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.686141 | − | 1.18843i | 0.0505830 | − | 0.0876123i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.55842 | + | 6.16337i | 0.260218 | + | 0.450710i | ||||
\(188\) | −7.37228 | −0.537679 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.74456 | + | 15.1460i | 0.632734 | + | 1.09593i | 0.986990 | + | 0.160780i | \(0.0514008\pi\) |
−0.354256 | + | 0.935148i | \(0.615266\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.5584 | − | 18.2877i | 0.760012 | − | 1.31638i | −0.182832 | − | 0.983144i | \(-0.558526\pi\) |
0.942844 | − | 0.333235i | \(-0.108140\pi\) | |||||||
\(194\) | 4.18614 | − | 7.25061i | 0.300547 | − | 0.520563i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.18614 | − | 3.78651i | −0.156153 | − | 0.270465i | ||||
\(197\) | −5.48913 | −0.391084 | −0.195542 | − | 0.980695i | \(-0.562647\pi\) | ||||
−0.195542 | + | 0.980695i | \(0.562647\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.4891 | 0.956219 | 0.478109 | − | 0.878300i | \(-0.341322\pi\) | ||||
0.478109 | + | 0.878300i | \(0.341322\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.37228 | + | 2.37686i | −0.0965534 | + | 0.167235i | ||||
\(203\) | −2.31386 | + | 4.00772i | −0.162401 | + | 0.281287i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −16.0000 | −1.11477 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.74456 | 0.467651 | ||||||||
\(209\) | 5.18614 | + | 8.98266i | 0.358733 | + | 0.621344i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.37228 | − | 16.2333i | 0.645214 | − | 1.11754i | −0.339037 | − | 0.940773i | \(-0.610101\pi\) |
0.984252 | − | 0.176771i | \(-0.0565653\pi\) | |||||||
\(212\) | 5.74456 | − | 9.94987i | 0.394538 | − | 0.683360i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.24456 | + | 7.35180i | 0.290152 | + | 0.502559i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −16.0000 | −1.08615 | ||||||||
\(218\) | 7.68614 | + | 13.3128i | 0.520571 | + | 0.901656i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.48913 | − | 9.50744i | 0.369239 | − | 0.639540i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.31386 | + | 5.73977i | 0.221912 | + | 0.384364i | 0.955389 | − | 0.295351i | \(-0.0954368\pi\) |
−0.733476 | + | 0.679715i | \(0.762103\pi\) | |||||||
\(224\) | 3.37228 | 0.225320 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.25544 | −0.216548 | ||||||||
\(227\) | −9.55842 | − | 16.5557i | −0.634415 | − | 1.09884i | −0.986639 | − | 0.162923i | \(-0.947908\pi\) |
0.352224 | − | 0.935916i | \(-0.385426\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.31386 | + | 10.9359i | −0.417232 | + | 0.722666i | −0.995660 | − | 0.0930670i | \(-0.970333\pi\) |
0.578428 | + | 0.815733i | \(0.303666\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.686141 | − | 1.18843i | −0.0450473 | − | 0.0780243i | ||||
\(233\) | 7.11684 | 0.466240 | 0.233120 | − | 0.972448i | \(-0.425107\pi\) | ||||
0.233120 | + | 0.972448i | \(0.425107\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.18614 | + | 3.78651i | 0.142306 | + | 0.246481i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.74456 | − | 4.75372i | 0.177904 | − | 0.308138i | ||||
\(239\) | −1.62772 | + | 2.81929i | −0.105288 | + | 0.182365i | −0.913856 | − | 0.406038i | \(-0.866910\pi\) |
0.808568 | + | 0.588403i | \(0.200243\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.24456 | + | 10.8159i | 0.402248 | + | 0.696713i | 0.993997 | − | 0.109409i | \(-0.0348958\pi\) |
−0.591749 | + | 0.806122i | \(0.701562\pi\) | |||||||
\(242\) | −8.11684 | −0.521770 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.11684 | −0.519628 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.00000 | − | 13.8564i | 0.509028 | − | 0.881662i | ||||
\(248\) | 2.37228 | − | 4.10891i | 0.150640 | − | 0.260916i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 24.6060 | 1.55312 | 0.776558 | − | 0.630046i | \(-0.216964\pi\) | ||||
0.776558 | + | 0.630046i | \(0.216964\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | 0.377217 | ||||||||
\(254\) | 4.05842 | + | 7.02939i | 0.254648 | + | 0.441063i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.18614 | + | 3.78651i | −0.136368 | + | 0.236196i | −0.926119 | − | 0.377231i | \(-0.876876\pi\) |
0.789751 | + | 0.613427i | \(0.210210\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.74456 | + | 11.6819i | 0.419087 | + | 0.725880i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.74456 | −0.169560 | ||||||||
\(263\) | 8.74456 | + | 15.1460i | 0.539213 | + | 0.933944i | 0.998947 | + | 0.0458872i | \(0.0146115\pi\) |
−0.459734 | + | 0.888057i | \(0.652055\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.00000 | − | 6.92820i | 0.245256 | − | 0.424795i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.50000 | − | 6.06218i | −0.213797 | − | 0.370306i | ||||
\(269\) | 1.37228 | 0.0836695 | 0.0418347 | − | 0.999125i | \(-0.486680\pi\) | ||||
0.0418347 | + | 0.999125i | \(0.486680\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.00000 | 0.485965 | 0.242983 | − | 0.970031i | \(-0.421874\pi\) | ||||
0.242983 | + | 0.970031i | \(0.421874\pi\) | |||||||
\(272\) | 0.813859 | + | 1.40965i | 0.0493475 | + | 0.0854723i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.55842 | + | 16.5557i | −0.577445 | + | 1.00016i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.37228 | + | 14.5012i | 0.503042 | + | 0.871294i | 0.999994 | + | 0.00351574i | \(0.00111910\pi\) |
−0.496952 | + | 0.867778i | \(0.665548\pi\) | |||||||
\(278\) | −0.883156 | −0.0529682 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.686141 | − | 1.18843i | −0.0409317 | − | 0.0708958i | 0.844834 | − | 0.535029i | \(-0.179699\pi\) |
−0.885765 | + | 0.464133i | \(0.846366\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.56930 | + | 2.71810i | −0.0932850 | + | 0.161574i | −0.908892 | − | 0.417033i | \(-0.863070\pi\) |
0.815607 | + | 0.578607i | \(0.196403\pi\) | |||||||
\(284\) | −3.00000 | + | 5.19615i | −0.178017 | + | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.7446 | + | 25.5383i | 0.871864 | + | 1.51011i | ||||
\(287\) | −10.1168 | −0.597178 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.3505 | −0.844149 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.55842 | − | 2.69927i | 0.0911997 | − | 0.157963i | ||||
\(293\) | −13.1168 | + | 22.7190i | −0.766294 | + | 1.32726i | 0.173265 | + | 0.984875i | \(0.444568\pi\) |
−0.939560 | + | 0.342385i | \(0.888765\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.00000 | −0.232495 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.88316 | 0.109088 | ||||||||
\(299\) | −4.62772 | − | 8.01544i | −0.267628 | − | 0.463545i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.48913 | − | 16.4356i | 0.546944 | − | 0.947335i | ||||
\(302\) | −5.00000 | + | 8.66025i | −0.287718 | + | 0.498342i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.18614 | + | 2.05446i | 0.0680298 | + | 0.117831i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.23369 | −0.0704103 | −0.0352051 | − | 0.999380i | \(-0.511208\pi\) | ||||
−0.0352051 | + | 0.999380i | \(0.511208\pi\) | |||||||
\(308\) | 7.37228 | + | 12.7692i | 0.420075 | + | 0.727591i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.3723 | + | 17.9653i | −0.588158 | + | 1.01872i | 0.406315 | + | 0.913733i | \(0.366813\pi\) |
−0.994474 | + | 0.104987i | \(0.966520\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.81386 | + | 3.14170i | 0.102525 | + | 0.177579i | 0.912724 | − | 0.408576i | \(-0.133974\pi\) |
−0.810199 | + | 0.586155i | \(0.800641\pi\) | |||||||
\(314\) | −6.74456 | −0.380618 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | 0.112509 | ||||||||
\(317\) | −1.37228 | − | 2.37686i | −0.0770750 | − | 0.133498i | 0.824912 | − | 0.565262i | \(-0.191225\pi\) |
−0.901987 | + | 0.431764i | \(0.857891\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.00000 | − | 5.19615i | 0.167968 | − | 0.290929i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.31386 | − | 4.00772i | −0.128946 | − | 0.223342i | ||||
\(323\) | 3.86141 | 0.214854 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 10.7446 | + | 18.6101i | 0.595086 | + | 1.03072i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.50000 | − | 2.59808i | 0.0828236 | − | 0.143455i | ||||
\(329\) | −12.4307 | + | 21.5306i | −0.685327 | + | 1.18702i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.11684 | − | 14.0588i | −0.446142 | − | 0.772741i | 0.551989 | − | 0.833851i | \(-0.313869\pi\) |
−0.998131 | + | 0.0611107i | \(0.980536\pi\) | |||||||
\(332\) | 7.37228 | 0.404607 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.3723 | −0.731699 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.18614 | + | 2.05446i | −0.0646132 | + | 0.111913i | −0.896522 | − | 0.442999i | \(-0.853915\pi\) |
0.831909 | + | 0.554912i | \(0.187248\pi\) | |||||||
\(338\) | 16.2446 | − | 28.1364i | 0.883588 | − | 1.53042i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.7446 | 1.12338 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.86141 | 0.478471 | ||||||||
\(344\) | 2.81386 | + | 4.87375i | 0.151713 | + | 0.262775i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.3723 | − | 17.9653i | 0.557617 | − | 0.965821i | ||||
\(347\) | 2.44158 | − | 4.22894i | 0.131071 | − | 0.227021i | −0.793019 | − | 0.609197i | \(-0.791492\pi\) |
0.924090 | + | 0.382176i | \(0.124825\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.05842 | − | 15.6896i | −0.484886 | − | 0.839848i | 0.514963 | − | 0.857212i | \(-0.327806\pi\) |
−0.999849 | + | 0.0173648i | \(0.994472\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.37228 | −0.233043 | ||||||||
\(353\) | 10.6753 | + | 18.4901i | 0.568187 | + | 0.984129i | 0.996745 | + | 0.0806147i | \(0.0256883\pi\) |
−0.428558 | + | 0.903514i | \(0.640978\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 8.05842 | − | 13.9576i | 0.427096 | − | 0.739751i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.37228 | + | 12.7692i | 0.389637 | + | 0.674871i | ||||
\(359\) | 17.4891 | 0.923041 | 0.461520 | − | 0.887130i | \(-0.347304\pi\) | ||||
0.461520 | + | 0.887130i | \(0.347304\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.3723 | −0.703804 | ||||||||
\(362\) | 10.4307 | + | 18.0665i | 0.548226 | + | 0.949555i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 11.3723 | − | 19.6974i | 0.596070 | − | 1.03242i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.00000 | − | 13.8564i | −0.417597 | − | 0.723299i | 0.578101 | − | 0.815966i | \(-0.303794\pi\) |
−0.995697 | + | 0.0926670i | \(0.970461\pi\) | |||||||
\(368\) | 1.37228 | 0.0715351 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −19.3723 | − | 33.5538i | −1.00576 | − | 1.74203i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.74456 | + | 13.4140i | −0.400998 | + | 0.694549i | −0.993847 | − | 0.110765i | \(-0.964670\pi\) |
0.592848 | + | 0.805314i | \(0.298003\pi\) | |||||||
\(374\) | −3.55842 | + | 6.16337i | −0.184002 | + | 0.318700i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.68614 | − | 6.38458i | −0.190098 | − | 0.329260i | ||||
\(377\) | −9.25544 | −0.476679 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.8614 | 0.917479 | 0.458739 | − | 0.888571i | \(-0.348301\pi\) | ||||
0.458739 | + | 0.888571i | \(0.348301\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.74456 | + | 15.1460i | −0.447411 | + | 0.774938i | ||||
\(383\) | 11.4891 | − | 19.8997i | 0.587067 | − | 1.01683i | −0.407547 | − | 0.913184i | \(-0.633616\pi\) |
0.994614 | − | 0.103646i | \(-0.0330508\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.1168 | 1.07482 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.37228 | 0.425038 | ||||||||
\(389\) | −2.31386 | − | 4.00772i | −0.117317 | − | 0.203200i | 0.801386 | − | 0.598147i | \(-0.204096\pi\) |
−0.918704 | + | 0.394947i | \(0.870763\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.11684 | − | 1.93443i | 0.0564812 | − | 0.0978284i | ||||
\(392\) | 2.18614 | − | 3.78651i | 0.110417 | − | 0.191247i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.74456 | − | 4.75372i | −0.138269 | − | 0.239489i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.7446 | −1.14152 | −0.570758 | − | 0.821118i | \(-0.693351\pi\) | ||||
−0.570758 | + | 0.821118i | \(0.693351\pi\) | |||||||
\(398\) | 6.74456 | + | 11.6819i | 0.338074 | + | 0.585562i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.558422 | + | 0.967215i | −0.0278863 | + | 0.0483004i | −0.879632 | − | 0.475655i | \(-0.842211\pi\) |
0.851745 | + | 0.523956i | \(0.175544\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.0000 | − | 27.7128i | −0.797017 | − | 1.38047i | ||||
\(404\) | −2.74456 | −0.136547 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.62772 | −0.229670 | ||||||||
\(407\) | −8.74456 | − | 15.1460i | −0.433452 | − | 0.750761i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.93070 | + | 15.4684i | −0.441595 | + | 0.764865i | −0.997808 | − | 0.0661749i | \(-0.978920\pi\) |
0.556213 | + | 0.831040i | \(0.312254\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.00000 | − | 13.8564i | −0.394132 | − | 0.682656i | ||||
\(413\) | 14.7446 | 0.725532 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 3.37228 | + | 5.84096i | 0.165340 | + | 0.286377i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.18614 | + | 8.98266i | −0.253662 | + | 0.439356i | ||||
\(419\) | 12.8614 | − | 22.2766i | 0.628321 | − | 1.08828i | −0.359568 | − | 0.933119i | \(-0.617076\pi\) |
0.987889 | − | 0.155165i | \(-0.0495908\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.2337 | − | 26.3855i | −0.742445 | − | 1.28595i | −0.951379 | − | 0.308022i | \(-0.900333\pi\) |
0.208935 | − | 0.977930i | \(-0.433000\pi\) | |||||||
\(422\) | 18.7446 | 0.912471 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11.4891 | 0.557961 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.6861 | + | 23.7051i | −0.662319 | + | 1.14717i | ||||
\(428\) | −4.24456 | + | 7.35180i | −0.205169 | + | 0.355363i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.23369 | −0.396603 | −0.198301 | − | 0.980141i | \(-0.563542\pi\) | ||||
−0.198301 | + | 0.980141i | \(0.563542\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.37228 | −0.306232 | −0.153116 | − | 0.988208i | \(-0.548931\pi\) | ||||
−0.153116 | + | 0.988208i | \(0.548931\pi\) | |||||||
\(434\) | −8.00000 | − | 13.8564i | −0.384012 | − | 0.665129i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.68614 | + | 13.3128i | −0.368099 | + | 0.637567i | ||||
\(437\) | 1.62772 | − | 2.81929i | 0.0778643 | − | 0.134865i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.11684 | + | 15.7908i | 0.435123 | + | 0.753656i | 0.997306 | − | 0.0733577i | \(-0.0233715\pi\) |
−0.562182 | + | 0.827013i | \(0.690038\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.9783 | 0.522182 | ||||||||
\(443\) | 1.75544 | + | 3.04051i | 0.0834033 | + | 0.144459i | 0.904710 | − | 0.426029i | \(-0.140088\pi\) |
−0.821306 | + | 0.570487i | \(0.806754\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.31386 | + | 5.73977i | −0.156916 | + | 0.271786i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.68614 | + | 2.92048i | 0.0796627 | + | 0.137980i | ||||
\(449\) | −9.86141 | −0.465389 | −0.232694 | − | 0.972550i | \(-0.574754\pi\) | ||||
−0.232694 | + | 0.972550i | \(0.574754\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.1168 | 0.617648 | ||||||||
\(452\) | −1.62772 | − | 2.81929i | −0.0765614 | − | 0.132608i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.55842 | − | 16.5557i | 0.448599 | − | 0.776996i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.44158 | + | 11.1571i | 0.301324 | + | 0.521909i | 0.976436 | − | 0.215806i | \(-0.0692380\pi\) |
−0.675112 | + | 0.737715i | \(0.735905\pi\) | |||||||
\(458\) | −12.6277 | −0.590055 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.941578 | + | 1.63086i | 0.0438537 | + | 0.0759568i | 0.887119 | − | 0.461541i | \(-0.152703\pi\) |
−0.843265 | + | 0.537497i | \(0.819370\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.0000 | − | 17.3205i | 0.464739 | − | 0.804952i | −0.534450 | − | 0.845200i | \(-0.679481\pi\) |
0.999190 | + | 0.0402476i | \(0.0128147\pi\) | |||||||
\(464\) | 0.686141 | − | 1.18843i | 0.0318533 | − | 0.0551715i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.55842 | + | 6.16337i | 0.164841 | + | 0.285512i | ||||
\(467\) | 43.1168 | 1.99521 | 0.997605 | − | 0.0691713i | \(-0.0220355\pi\) | ||||
0.997605 | + | 0.0691713i | \(0.0220355\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −23.6060 | −1.09002 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.18614 | + | 3.78651i | −0.100625 | + | 0.174288i | ||||
\(473\) | −12.3030 | + | 21.3094i | −0.565692 | + | 0.979807i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 5.48913 | 0.251594 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.25544 | −0.148900 | ||||||||
\(479\) | −0.255437 | − | 0.442430i | −0.0116712 | − | 0.0202152i | 0.860131 | − | 0.510074i | \(-0.170382\pi\) |
−0.871802 | + | 0.489858i | \(0.837048\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.4891 | + | 23.3639i | −0.615051 | + | 1.06530i | ||||
\(482\) | −6.24456 | + | 10.8159i | −0.284432 | + | 0.492651i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.05842 | − | 7.02939i | −0.184474 | − | 0.319518i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.7446 | 0.577511 | 0.288756 | − | 0.957403i | \(-0.406758\pi\) | ||||
0.288756 | + | 0.957403i | \(0.406758\pi\) | |||||||
\(488\) | −4.05842 | − | 7.02939i | −0.183716 | − | 0.318206i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −18.3030 | + | 31.7017i | −0.826002 | + | 1.43068i | 0.0751489 | + | 0.997172i | \(0.476057\pi\) |
−0.901151 | + | 0.433505i | \(0.857277\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.11684 | − | 1.93443i | −0.0503001 | − | 0.0871224i | ||||
\(494\) | 16.0000 | 0.719874 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.74456 | 0.213037 | ||||||||
\(497\) | 10.1168 | + | 17.5229i | 0.453802 | + | 0.786009i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.55842 | + | 13.0916i | −0.338361 | + | 0.586059i | −0.984125 | − | 0.177479i | \(-0.943206\pi\) |
0.645763 | + | 0.763538i | \(0.276539\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.3030 | + | 21.3094i | 0.549109 | + | 0.951085i | ||||
\(503\) | −6.86141 | −0.305935 | −0.152967 | − | 0.988231i | \(-0.548883\pi\) | ||||
−0.152967 | + | 0.988231i | \(0.548883\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 3.00000 | + | 5.19615i | 0.133366 | + | 0.230997i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.05842 | + | 7.02939i | −0.180063 | + | 0.311879i | ||||
\(509\) | −21.1753 | + | 36.6766i | −0.938577 | + | 1.62566i | −0.170450 | + | 0.985366i | \(0.554522\pi\) |
−0.768127 | + | 0.640297i | \(0.778811\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.25544 | − | 9.10268i | −0.232487 | − | 0.402679i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.37228 | −0.192853 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.1168 | − | 27.9152i | 0.708818 | − | 1.22771i | ||||
\(518\) | −6.74456 | + | 11.6819i | −0.296339 | + | 0.513274i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.76631 | 0.296438 | 0.148219 | − | 0.988955i | \(-0.452646\pi\) | ||||
0.148219 | + | 0.988955i | \(0.452646\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.11684 | −0.267471 | −0.133735 | − | 0.991017i | \(-0.542697\pi\) | ||||
−0.133735 | + | 0.991017i | \(0.542697\pi\) | |||||||
\(524\) | −1.37228 | − | 2.37686i | −0.0599484 | − | 0.103834i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.74456 | + | 15.1460i | −0.381281 | + | 0.660398i | ||||
\(527\) | 3.86141 | − | 6.68815i | 0.168206 | − | 0.291340i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.5584 | + | 18.2877i | 0.459062 | + | 0.795118i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.00000 | 0.346844 | ||||||||
\(533\) | −10.1168 | − | 17.5229i | −0.438209 | − | 0.759001i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.50000 | − | 6.06218i | 0.151177 | − | 0.261846i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.686141 | + | 1.18843i | 0.0295816 | + | 0.0512369i | ||||
\(539\) | 19.1168 | 0.823421 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 27.3723 | 1.17683 | 0.588413 | − | 0.808560i | \(-0.299753\pi\) | ||||
0.588413 | + | 0.808560i | \(0.299753\pi\) | |||||||
\(542\) | 4.00000 | + | 6.92820i | 0.171815 | + | 0.297592i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.813859 | + | 1.40965i | −0.0348939 | + | 0.0604381i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.7337 | − | 25.5195i | −0.629967 | − | 1.09113i | −0.987558 | − | 0.157256i | \(-0.949735\pi\) |
0.357591 | − | 0.933878i | \(-0.383598\pi\) | |||||||
\(548\) | −19.1168 | −0.816631 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.62772 | − | 2.81929i | −0.0693431 | − | 0.120106i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.37228 | − | 5.84096i | 0.143404 | − | 0.248383i | ||||
\(554\) | −8.37228 | + | 14.5012i | −0.355704 | + | 0.616098i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.441578 | − | 0.764836i | −0.0187271 | − | 0.0324363i | ||||
\(557\) | −44.2337 | −1.87424 | −0.937121 | − | 0.349005i | \(-0.886520\pi\) | ||||
−0.937121 | + | 0.349005i | \(0.886520\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 37.9565 | 1.60539 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.686141 | − | 1.18843i | 0.0289431 | − | 0.0501309i | ||||
\(563\) | 20.3614 | − | 35.2670i | 0.858131 | − | 1.48633i | −0.0155787 | − | 0.999879i | \(-0.504959\pi\) |
0.873710 | − | 0.486448i | \(-0.161708\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −3.13859 | −0.131925 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.00000 | −0.251754 | ||||||||
\(569\) | −15.3030 | − | 26.5055i | −0.641534 | − | 1.11117i | −0.985090 | − | 0.172038i | \(-0.944965\pi\) |
0.343556 | − | 0.939132i | \(-0.388369\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.30298 | + | 7.45299i | −0.180074 | + | 0.311898i | −0.941906 | − | 0.335878i | \(-0.890967\pi\) |
0.761831 | + | 0.647775i | \(0.224300\pi\) | |||||||
\(572\) | −14.7446 | + | 25.5383i | −0.616501 | + | 1.06781i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.05842 | − | 8.76144i | −0.211134 | − | 0.365696i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 41.1168 | 1.71172 | 0.855858 | − | 0.517210i | \(-0.173030\pi\) | ||||
0.855858 | + | 0.517210i | \(0.173030\pi\) | |||||||
\(578\) | −7.17527 | − | 12.4279i | −0.298452 | − | 0.516934i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.4307 | − | 21.5306i | 0.515712 | − | 0.893240i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.1168 | + | 43.5036i | 1.04023 | + | 1.80174i | ||||
\(584\) | 3.11684 | 0.128976 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.2337 | −1.08370 | ||||||||
\(587\) | −13.5000 | − | 23.3827i | −0.557205 | − | 0.965107i | −0.997728 | − | 0.0673658i | \(-0.978541\pi\) |
0.440524 | − | 0.897741i | \(-0.354793\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.62772 | − | 9.74749i | 0.231886 | − | 0.401639i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.00000 | − | 3.46410i | −0.0821995 | − | 0.142374i | ||||
\(593\) | −19.7228 | −0.809919 | −0.404959 | − | 0.914335i | \(-0.632714\pi\) | ||||
−0.404959 | + | 0.914335i | \(0.632714\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.941578 | + | 1.63086i | 0.0385685 | + | 0.0668027i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.62772 | − | 8.01544i | 0.189241 | − | 0.327776i | ||||
\(599\) | −1.88316 | + | 3.26172i | −0.0769437 | + | 0.133270i | −0.901930 | − | 0.431883i | \(-0.857849\pi\) |
0.824986 | + | 0.565153i | \(0.191183\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.930703 | + | 1.61203i | 0.0379642 | + | 0.0657559i | 0.884383 | − | 0.466762i | \(-0.154579\pi\) |
−0.846419 | + | 0.532517i | \(0.821246\pi\) | |||||||
\(602\) | 18.9783 | 0.773496 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | −0.406894 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.05842 | − | 15.6896i | 0.367670 | − | 0.636823i | −0.621531 | − | 0.783390i | \(-0.713489\pi\) |
0.989201 | + | 0.146567i | \(0.0468223\pi\) | |||||||
\(608\) | −1.18614 | + | 2.05446i | −0.0481044 | + | 0.0833192i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −49.7228 | −2.01157 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −34.2337 | −1.38269 | −0.691343 | − | 0.722527i | \(-0.742981\pi\) | ||||
−0.691343 | + | 0.722527i | \(0.742981\pi\) | |||||||
\(614\) | −0.616844 | − | 1.06841i | −0.0248938 | − | 0.0431173i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.37228 | + | 12.7692i | −0.297038 | + | 0.514484i | ||||
\(617\) | 2.44158 | − | 4.22894i | 0.0982942 | − | 0.170251i | −0.812684 | − | 0.582704i | \(-0.801995\pi\) |
0.910979 | + | 0.412453i | \(0.135328\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.4416 | + | 18.0853i | 0.419682 | + | 0.726911i | 0.995907 | − | 0.0903798i | \(-0.0288081\pi\) |
−0.576225 | + | 0.817291i | \(0.695475\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −20.7446 | −0.831781 | ||||||||
\(623\) | −27.1753 | − | 47.0689i | −1.08875 | − | 1.88578i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −1.81386 | + | 3.14170i | −0.0724964 | + | 0.125567i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.37228 | − | 5.84096i | −0.134569 | − | 0.233080i | ||||
\(629\) | −6.51087 | −0.259606 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.7228 | −0.944390 | −0.472195 | − | 0.881494i | \(-0.656538\pi\) | ||||
−0.472195 | + | 0.881494i | \(0.656538\pi\) | |||||||
\(632\) | 1.00000 | + | 1.73205i | 0.0397779 | + | 0.0688973i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.37228 | − | 2.37686i | 0.0545003 | − | 0.0943972i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.7446 | − | 25.5383i | −0.584201 | − | 1.01187i | ||||
\(638\) | 6.00000 | 0.237542 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −19.5000 | − | 33.7750i | −0.770204 | − | 1.33403i | −0.937451 | − | 0.348117i | \(-0.886821\pi\) |
0.167247 | − | 0.985915i | \(-0.446512\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.50000 | − | 9.52628i | 0.216899 | − | 0.375680i | −0.736959 | − | 0.675937i | \(-0.763739\pi\) |
0.953858 | + | 0.300257i | \(0.0970725\pi\) | |||||||
\(644\) | 2.31386 | − | 4.00772i | 0.0911788 | − | 0.157926i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.93070 | + | 3.34408i | 0.0759625 | + | 0.131571i | ||||
\(647\) | −39.0951 | −1.53699 | −0.768493 | − | 0.639858i | \(-0.778993\pi\) | ||||
−0.768493 | + | 0.639858i | \(0.778993\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.1168 | −0.750402 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −10.7446 | + | 18.6101i | −0.420790 | + | 0.728829i | ||||
\(653\) | −9.86141 | + | 17.0805i | −0.385907 | + | 0.668410i | −0.991895 | − | 0.127064i | \(-0.959445\pi\) |
0.605988 | + | 0.795474i | \(0.292778\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.00000 | 0.117130 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.8614 | −0.969199 | ||||||||
\(659\) | 8.74456 | + | 15.1460i | 0.340640 | + | 0.590005i | 0.984552 | − | 0.175094i | \(-0.0560230\pi\) |
−0.643912 | + | 0.765100i | \(0.722690\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.11684 | − | 10.5947i | 0.237918 | − | 0.412085i | −0.722199 | − | 0.691685i | \(-0.756868\pi\) |
0.960117 | + | 0.279600i | \(0.0902018\pi\) | |||||||
\(662\) | 8.11684 | − | 14.0588i | 0.315470 | − | 0.546410i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.68614 | + | 6.38458i | 0.143050 | + | 0.247770i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.88316 | −0.0729161 | ||||||||
\(668\) | −6.68614 | − | 11.5807i | −0.258695 | − | 0.448072i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.7446 | − | 30.7345i | 0.685021 | − | 1.18649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.00000 | − | 8.66025i | −0.192736 | − | 0.333828i | 0.753420 | − | 0.657539i | \(-0.228403\pi\) |
−0.946156 | + | 0.323711i | \(0.895069\pi\) | |||||||
\(674\) | −2.37228 | −0.0913769 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 32.4891 | 1.24958 | ||||||||
\(677\) | −6.86141 | − | 11.8843i | −0.263705 | − | 0.456751i | 0.703518 | − | 0.710677i | \(-0.251611\pi\) |
−0.967224 | + | 0.253926i | \(0.918278\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.1168 | − | 24.4511i | 0.541755 | − | 0.938347i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 10.3723 | + | 17.9653i | 0.397175 | + | 0.687928i | ||||
\(683\) | −30.0951 | −1.15156 | −0.575778 | − | 0.817606i | \(-0.695301\pi\) | ||||
−0.575778 | + | 0.817606i | \(0.695301\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 4.43070 | + | 7.67420i | 0.169165 | + | 0.293002i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.81386 | + | 4.87375i | −0.107277 | + | 0.185810i | ||||
\(689\) | 38.7446 | − | 67.1076i | 1.47605 | − | 2.55659i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.1168 | + | 31.3793i | 0.689197 | + | 1.19372i | 0.972098 | + | 0.234575i | \(0.0753700\pi\) |
−0.282901 | + | 0.959149i | \(0.591297\pi\) | |||||||
\(692\) | 20.7446 | 0.788590 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.88316 | 0.185362 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.44158 | − | 4.22894i | 0.0924814 | − | 0.160182i | ||||
\(698\) | 9.05842 | − | 15.6896i | 0.342866 | − | 0.593862i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −42.8614 | −1.61885 | −0.809426 | − | 0.587221i | \(-0.800222\pi\) | ||||
−0.809426 | + | 0.587221i | \(0.800222\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.48913 | −0.357889 | ||||||||
\(704\) | −2.18614 | − | 3.78651i | −0.0823933 | − | 0.142709i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.6753 | + | 18.4901i | −0.401769 | + | 0.695884i | ||||
\(707\) | −4.62772 | + | 8.01544i | −0.174043 | + | 0.301452i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.43070 | − | 2.47805i | −0.0537312 | − | 0.0930652i | 0.837909 | − | 0.545810i | \(-0.183778\pi\) |
−0.891640 | + | 0.452745i | \(0.850445\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 16.1168 | 0.604004 | ||||||||
\(713\) | −3.25544 | − | 5.63858i | −0.121917 | − | 0.211167i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −7.37228 | + | 12.7692i | −0.275515 | + | 0.477206i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.74456 | + | 15.1460i | 0.326344 | + | 0.565245i | ||||
\(719\) | 3.76631 | 0.140460 | 0.0702299 | − | 0.997531i | \(-0.477627\pi\) | ||||
0.0702299 | + | 0.997531i | \(0.477627\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −53.9565 | −2.00945 | ||||||||
\(722\) | −6.68614 | − | 11.5807i | −0.248832 | − | 0.430990i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.4307 | + | 18.0665i | −0.387654 | + | 0.671436i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.05842 | + | 15.6896i | 0.335958 | + | 0.581897i | 0.983668 | − | 0.179990i | \(-0.0576066\pi\) |
−0.647710 | + | 0.761887i | \(0.724273\pi\) | |||||||
\(728\) | 22.7446 | 0.842970 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.58017 | + | 7.93309i | 0.169404 | + | 0.293416i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.116844 | + | 0.202380i | −0.00431573 | + | 0.00747506i | −0.868175 | − | 0.496258i | \(-0.834707\pi\) |
0.863859 | + | 0.503733i | \(0.168040\pi\) | |||||||
\(734\) | 8.00000 | − | 13.8564i | 0.295285 | − | 0.511449i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.686141 | + | 1.18843i | 0.0252915 | + | 0.0438061i | ||||
\(737\) | 30.6060 | 1.12739 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −41.1168 | −1.51251 | −0.756254 | − | 0.654278i | \(-0.772972\pi\) | ||||
−0.756254 | + | 0.654278i | \(0.772972\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.3723 | − | 33.5538i | 0.711179 | − | 1.23180i | ||||
\(743\) | −3.94158 | + | 6.82701i | −0.144602 | + | 0.250459i | −0.929225 | − | 0.369516i | \(-0.879524\pi\) |
0.784622 | + | 0.619974i | \(0.212857\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −15.4891 | −0.567097 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.11684 | −0.260218 | ||||||||
\(749\) | 14.3139 | + | 24.7923i | 0.523017 | + | 0.905892i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.11684 | + | 14.0588i | −0.296188 | + | 0.513012i | −0.975261 | − | 0.221059i | \(-0.929049\pi\) |
0.679073 | + | 0.734071i | \(0.262382\pi\) | |||||||
\(752\) | 3.68614 | − | 6.38458i | 0.134420 | − | 0.232822i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −4.62772 | − | 8.01544i | −0.168532 | − | 0.291905i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.0000 | 0.363456 | 0.181728 | − | 0.983349i | \(-0.441831\pi\) | ||||
0.181728 | + | 0.983349i | \(0.441831\pi\) | |||||||
\(758\) | 8.93070 | + | 15.4684i | 0.324378 | + | 0.561839i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.5475 | + | 44.2496i | −0.926098 | + | 1.60405i | −0.136312 | + | 0.990666i | \(0.543525\pi\) |
−0.789786 | + | 0.613383i | \(0.789808\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 25.9198 | + | 44.8945i | 0.938361 | + | 1.62529i | ||||
\(764\) | −17.4891 | −0.632734 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.9783 | 0.830238 | ||||||||
\(767\) | 14.7446 | + | 25.5383i | 0.532395 | + | 0.922136i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.4307 | − | 40.5832i | 0.844933 | − | 1.46347i | −0.0407468 | − | 0.999170i | \(-0.512974\pi\) |
0.885680 | − | 0.464297i | \(-0.153693\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.5584 | + | 18.2877i | 0.380006 | + | 0.658190i | ||||
\(773\) | 3.25544 | 0.117090 | 0.0585450 | − | 0.998285i | \(-0.481354\pi\) | ||||
0.0585450 | + | 0.998285i | \(0.481354\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.18614 | + | 7.25061i | 0.150274 | + | 0.260282i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.31386 | − | 4.00772i | 0.0829559 | − | 0.143684i | ||||
\(779\) | 3.55842 | − | 6.16337i | 0.127494 | − | 0.220826i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.1168 | − | 22.7190i | −0.469358 | − | 0.812951i | ||||
\(782\) | 2.23369 | 0.0798765 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.37228 | 0.156153 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.0000 | + | 24.2487i | −0.499046 | + | 0.864373i | −0.999999 | − | 0.00110111i | \(-0.999650\pi\) |
0.500953 | + | 0.865474i | \(0.332983\pi\) | |||||||
\(788\) | 2.74456 | − | 4.75372i | 0.0977710 | − | 0.169344i | ||||
\(789\) |