Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 97.1 | ||
Character | \(\chi\) | \(=\) | 864.97 |
Dual form | 864.2.y.a.481.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −1.72103 | − | 0.195105i | −0.993635 | − | 0.112644i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.517524 | + | 0.188363i | 0.231444 | + | 0.0842386i | 0.455139 | − | 0.890421i | \(-0.349590\pi\) |
−0.223695 | + | 0.974659i | \(0.571812\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.780902 | − | 4.42872i | 0.295153 | − | 1.67390i | −0.371426 | − | 0.928463i | \(-0.621131\pi\) |
0.666579 | − | 0.745434i | \(-0.267758\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.92387 | + | 0.671562i | 0.974623 | + | 0.223854i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.48871 | − | 0.541847i | 0.448863 | − | 0.163373i | −0.107690 | − | 0.994184i | \(-0.534346\pi\) |
0.556554 | + | 0.830812i | \(0.312123\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.64780 | + | 1.38267i | −0.457017 | + | 0.383483i | −0.842032 | − | 0.539427i | \(-0.818641\pi\) |
0.385015 | + | 0.922910i | \(0.374196\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.853922 | − | 0.425150i | −0.220482 | − | 0.109773i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.17725 | + | 2.03906i | 0.285525 | + | 0.494544i | 0.972736 | − | 0.231914i | \(-0.0744987\pi\) |
−0.687211 | + | 0.726458i | \(0.741165\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0655666 | + | 0.113565i | −0.0150420 | + | 0.0260535i | −0.873448 | − | 0.486917i | \(-0.838122\pi\) |
0.858406 | + | 0.512970i | \(0.171455\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.20802 | + | 7.46958i | −0.481829 | + | 1.63000i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.0132392 | + | 0.0750834i | 0.00276057 | + | 0.0156560i | 0.986157 | − | 0.165815i | \(-0.0530254\pi\) |
−0.983396 | + | 0.181471i | \(0.941914\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.59787 | − | 3.01897i | −0.719574 | − | 0.603795i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.90103 | − | 1.72624i | −0.943204 | − | 0.332214i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.07315 | − | 3.41778i | −0.756364 | − | 0.634665i | 0.180813 | − | 0.983517i | \(-0.442127\pi\) |
−0.937178 | + | 0.348852i | \(0.886571\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.30041 | − | 7.37501i | −0.233561 | − | 1.32459i | −0.845623 | − | 0.533781i | \(-0.820771\pi\) |
0.612062 | − | 0.790810i | \(-0.290340\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.66783 | + | 0.642078i | −0.464409 | + | 0.111771i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.23834 | − | 2.14487i | 0.209318 | − | 0.362550i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.49305 | + | 2.58604i | 0.245456 | + | 0.425142i | 0.962260 | − | 0.272133i | \(-0.0877290\pi\) |
−0.716804 | + | 0.697275i | \(0.754396\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.10567 | − | 2.05811i | 0.497305 | − | 0.329562i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.65824 | − | 7.26512i | 1.35219 | − | 1.13462i | 0.373879 | − | 0.927477i | \(-0.378027\pi\) |
0.978310 | − | 0.207144i | \(-0.0664170\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.587142 | − | 0.213702i | 0.0895384 | − | 0.0325893i | −0.296863 | − | 0.954920i | \(-0.595940\pi\) |
0.386401 | + | 0.922331i | \(0.373718\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.38667 | + | 0.898299i | 0.206713 | + | 0.133910i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.384448 | − | 2.18031i | 0.0560775 | − | 0.318031i | −0.943846 | − | 0.330385i | \(-0.892821\pi\) |
0.999924 | + | 0.0123540i | \(0.00393251\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −12.4259 | − | 4.52265i | −1.77512 | − | 0.646092i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.62825 | − | 3.73896i | −0.228001 | − | 0.523559i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.94034 | 1.36541 | 0.682706 | − | 0.730694i | \(-0.260803\pi\) | ||||
0.682706 | + | 0.730694i | \(0.260803\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.872508 | 0.117649 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.134999 | − | 0.182656i | 0.0178810 | − | 0.0241933i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.48455 | − | 1.99621i | −0.714028 | − | 0.259885i | −0.0406394 | − | 0.999174i | \(-0.512939\pi\) |
−0.673388 | + | 0.739289i | \(0.735162\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.08556 | − | 11.8278i | 0.267029 | − | 1.51439i | −0.496167 | − | 0.868227i | \(-0.665260\pi\) |
0.763196 | − | 0.646167i | \(-0.223629\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.25741 | − | 12.4246i | 0.662371 | − | 1.56535i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.11322 | + | 0.405179i | −0.138078 | + | 0.0502562i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.0979 | + | 8.47314i | −1.23365 | + | 1.03516i | −0.235661 | + | 0.971835i | \(0.575726\pi\) |
−0.997993 | + | 0.0633237i | \(0.979830\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.00813594 | − | 0.131804i | −0.000979452 | − | 0.0158673i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.94216 | − | 12.0242i | −0.823883 | − | 1.42701i | −0.902770 | − | 0.430123i | \(-0.858470\pi\) |
0.0788875 | − | 0.996884i | \(-0.474863\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.48961 | − | 2.58009i | 0.174346 | − | 0.301976i | −0.765589 | − | 0.643330i | \(-0.777552\pi\) |
0.939935 | + | 0.341354i | \(0.110886\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.60302 | + | 5.89770i | 0.646981 | + | 0.681007i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.23715 | − | 7.01621i | −0.140986 | − | 0.799571i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.90882 | − | 1.60169i | −0.214758 | − | 0.180204i | 0.529062 | − | 0.848583i | \(-0.322544\pi\) |
−0.743821 | + | 0.668379i | \(0.766988\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.09801 | + | 3.92712i | 0.899779 | + | 0.436346i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.50308 | + | 2.93943i | 0.384513 | + | 0.322644i | 0.814471 | − | 0.580204i | \(-0.197027\pi\) |
−0.429958 | + | 0.902849i | \(0.641472\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.225172 | + | 1.27701i | 0.0244233 | + | 0.138511i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.34317 | + | 6.67678i | 0.680059 | + | 0.715826i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.417704 | + | 0.723484i | −0.0442765 | + | 0.0766892i | −0.887314 | − | 0.461165i | \(-0.847432\pi\) |
0.843038 | + | 0.537854i | \(0.180765\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.83667 | + | 8.37736i | 0.507021 | + | 0.878186i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.799146 | + | 12.9463i | 0.0828676 | + | 1.34247i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0553237 | + | 0.0464221i | −0.00567609 | + | 0.00476281i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.6541 | + | 4.60571i | −1.28483 | + | 0.467639i | −0.892026 | − | 0.451985i | \(-0.850716\pi\) |
−0.392801 | + | 0.919623i | \(0.628494\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.71668 | − | 0.584527i | 0.474044 | − | 0.0587471i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.34476 | − | 13.2978i | 0.233312 | − | 1.32318i | −0.612826 | − | 0.790218i | \(-0.709967\pi\) |
0.846139 | − | 0.532963i | \(-0.178921\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.26000 | + | 3.00640i | 0.813882 | + | 0.296229i | 0.715227 | − | 0.698893i | \(-0.246323\pi\) |
0.0986558 | + | 0.995122i | \(0.468546\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.54970 | + | 3.44978i | −0.248825 | + | 0.336664i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −13.1333 | −1.26964 | −0.634820 | − | 0.772660i | \(-0.718926\pi\) | ||||
−0.634820 | + | 0.772660i | \(0.718926\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.9405 | −1.33525 | −0.667627 | − | 0.744496i | \(-0.732690\pi\) | ||||
−0.667627 | + | 0.744496i | \(0.732690\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.06503 | − | 4.74194i | −0.196004 | − | 0.450085i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.99749 | + | 3.27482i | 0.846413 | + | 0.308069i | 0.728577 | − | 0.684964i | \(-0.240182\pi\) |
0.117836 | + | 0.993033i | \(0.462404\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.00729134 | + | 0.0413513i | −0.000679921 | + | 0.00385602i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.74649 | + | 2.93614i | −0.531263 | + | 0.271446i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.94972 | − | 3.62140i | 0.912090 | − | 0.331973i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.50383 | + | 5.45736i | −0.591257 | + | 0.496123i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −16.3185 | + | 10.8142i | −1.47139 | + | 0.975085i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.67016 | − | 4.62486i | −0.238827 | − | 0.413660i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.78563 | + | 11.7531i | −0.602128 | + | 1.04292i | 0.390371 | + | 0.920658i | \(0.372347\pi\) |
−0.992498 | + | 0.122258i | \(0.960986\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.05218 | + | 0.253233i | −0.0926395 | + | 0.0222959i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.93176 | + | 16.6268i | 0.256149 | + | 1.45269i | 0.793105 | + | 0.609084i | \(0.208463\pi\) |
−0.536956 | + | 0.843610i | \(0.680426\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.451745 | + | 0.379059i | 0.0391712 | + | 0.0328686i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.21124 | − | 1.81654i | −0.190313 | − | 0.156343i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 17.0281 | + | 14.2883i | 1.45481 | + | 1.22073i | 0.928975 | + | 0.370143i | \(0.120691\pi\) |
0.525834 | + | 0.850587i | \(0.323753\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.46833 | − | 19.6699i | −0.294180 | − | 1.66838i | −0.670518 | − | 0.741893i | \(-0.733928\pi\) |
0.376338 | − | 0.926482i | \(-0.377183\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.08703 | + | 3.67737i | −0.0915448 | + | 0.309690i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.70390 | + | 2.95125i | −0.142487 | + | 0.246796i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.46417 | − | 2.53601i | −0.121592 | − | 0.210604i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 20.5029 | + | 10.2079i | 1.69105 | + | 0.841937i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.16549 | + | 0.977961i | −0.0954805 | + | 0.0801177i | −0.689278 | − | 0.724497i | \(-0.742072\pi\) |
0.593798 | + | 0.804614i | \(0.297628\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.1135 | − | 5.86482i | 1.31130 | − | 0.477273i | 0.410637 | − | 0.911799i | \(-0.365306\pi\) |
0.900659 | + | 0.434527i | \(0.143084\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.07277 | + | 6.75253i | 0.167574 | + | 0.545910i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.716186 | − | 4.06169i | 0.0575255 | − | 0.326243i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.42937 | + | 3.43201i | 0.752546 | + | 0.273904i | 0.689677 | − | 0.724118i | \(-0.257753\pi\) |
0.0628690 | + | 0.998022i | \(0.479975\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −17.1076 | − | 1.93941i | −1.35672 | − | 0.153805i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.342862 | 0.0270213 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.72273 | 0.604891 | 0.302445 | − | 0.953167i | \(-0.402197\pi\) | ||||
0.302445 | + | 0.953167i | \(0.402197\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.50161 | − | 0.170231i | −0.116900 | − | 0.0132524i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.5315 | + | 3.83314i | 0.814949 | + | 0.296617i | 0.715667 | − | 0.698442i | \(-0.246123\pi\) |
0.0992826 | + | 0.995059i | \(0.468345\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.45395 | + | 8.24579i | −0.111843 | + | 0.634291i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.267974 | + | 0.288016i | −0.0204925 | + | 0.0220252i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 11.3605 | − | 4.13489i | 0.863724 | − | 0.314370i | 0.128101 | − | 0.991761i | \(-0.459112\pi\) |
0.735623 | + | 0.677391i | \(0.236890\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −16.1798 | + | 13.5764i | −1.22307 | + | 1.02628i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.04959 | + | 4.50560i | 0.680209 | + | 0.338662i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.69847 | + | 13.3341i | 0.575410 | + | 0.996640i | 0.995997 | + | 0.0893876i | \(0.0284910\pi\) |
−0.420586 | + | 0.907252i | \(0.638176\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.88887 | − | 8.46776i | 0.363387 | − | 0.629404i | −0.625129 | − | 0.780521i | \(-0.714954\pi\) |
0.988516 | + | 0.151117i | \(0.0482871\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.89697 | + | 19.9491i | −0.435916 | + | 1.47468i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.285574 | + | 1.61957i | 0.0209958 | + | 0.119073i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.85744 | + | 2.39768i | 0.208957 | + | 0.175336i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −11.4722 | + | 20.3573i | −0.834482 | + | 1.48077i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.8728 | + | 10.8015i | 0.931440 | + | 0.781571i | 0.976075 | − | 0.217432i | \(-0.0697682\pi\) |
−0.0446355 | + | 0.999003i | \(0.514213\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.05688 | − | 17.3364i | −0.220039 | − | 1.24790i | −0.871945 | − | 0.489604i | \(-0.837141\pi\) |
0.651906 | − | 0.758300i | \(-0.273970\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.99493 | − | 0.480129i | 0.142860 | − | 0.0343827i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.3743 | − | 17.9687i | 0.739135 | − | 1.28022i | −0.213750 | − | 0.976888i | \(-0.568568\pi\) |
0.952885 | − | 0.303331i | \(-0.0980988\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.55892 | + | 13.0924i | 0.535837 | + | 0.928097i | 0.999122 | + | 0.0418881i | \(0.0133373\pi\) |
−0.463285 | + | 0.886209i | \(0.653329\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 19.0319 | − | 12.6124i | 1.34241 | − | 0.889607i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −18.3171 | + | 15.3699i | −1.28561 | + | 1.07875i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.84933 | − | 2.12898i | 0.408535 | − | 0.148695i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.0117134 | + | 0.228425i | −0.000814135 | + | 0.0158766i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0360751 | + | 0.204592i | −0.00249537 | + | 0.0141519i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.15653 | − | 2.24079i | −0.423833 | − | 0.154263i | 0.121293 | − | 0.992617i | \(-0.461296\pi\) |
−0.545126 | + | 0.838354i | \(0.683518\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.60167 | + | 22.0484i | 0.657895 | + | 1.51073i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.344114 | 0.0234684 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −33.6773 | −2.28617 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.06705 | + | 4.14977i | −0.207252 | + | 0.280415i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.75921 | − | 1.73221i | −0.320139 | − | 0.116521i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.84871 | − | 16.1558i | 0.190764 | − | 1.08187i | −0.727560 | − | 0.686044i | \(-0.759346\pi\) |
0.918324 | − | 0.395831i | \(-0.129543\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.49228 | − | 11.2433i | −0.566152 | − | 0.749551i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 18.7531 | − | 6.82558i | 1.24469 | − | 0.453030i | 0.366086 | − | 0.930581i | \(-0.380698\pi\) |
0.878604 | + | 0.477551i | \(0.158476\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.94667 | − | 7.50715i | 0.591213 | − | 0.496086i | −0.297395 | − | 0.954755i | \(-0.596118\pi\) |
0.888608 | + | 0.458668i | \(0.151673\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.760267 | + | 12.3165i | 0.0500219 | + | 0.810363i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.828869 | − | 1.43564i | −0.0543010 | − | 0.0940521i | 0.837597 | − | 0.546288i | \(-0.183960\pi\) |
−0.891898 | + | 0.452236i | \(0.850626\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.609651 | − | 1.05595i | 0.0397693 | − | 0.0688824i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.97263 | + | 3.12896i | 0.193093 | + | 0.203248i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.35272 | + | 24.6855i | 0.281554 | + | 1.59677i | 0.717340 | + | 0.696723i | \(0.245359\pi\) |
−0.435786 | + | 0.900050i | \(0.643530\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.15079 | − | 4.32203i | −0.331792 | − | 0.278406i | 0.461638 | − | 0.887069i | \(-0.347262\pi\) |
−0.793429 | + | 0.608662i | \(0.791706\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.1707 | − | 8.33863i | −0.844900 | − | 0.534924i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.57878 | − | 4.68115i | −0.356415 | − | 0.299068i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0489816 | − | 0.277789i | −0.00311663 | − | 0.0176753i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.45539 | − | 5.74231i | −0.345721 | − | 0.363904i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.47513 | − | 14.6794i | 0.534945 | − | 0.926553i | −0.464221 | − | 0.885720i | \(-0.653666\pi\) |
0.999166 | − | 0.0408330i | \(-0.0130012\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0603931 | + | 0.104604i | 0.00379688 | + | 0.00657639i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.138375 | − | 2.24170i | −0.00866539 | − | 0.140381i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −13.8383 | + | 11.6117i | −0.863212 | + | 0.724320i | −0.962657 | − | 0.270723i | \(-0.912737\pi\) |
0.0994459 | + | 0.995043i | \(0.468293\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.6187 | − | 4.59285i | 0.784091 | − | 0.285386i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.61410 | − | 12.7285i | −0.595098 | − | 0.787874i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.32530 | + | 13.1874i | −0.143384 | + | 0.813171i | 0.825267 | + | 0.564743i | \(0.191025\pi\) |
−0.968651 | + | 0.248427i | \(0.920086\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.14437 | + | 1.87240i | 0.316016 | + | 0.115020i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.860035 | − | 1.16364i | 0.0526333 | − | 0.0712136i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −20.5015 | −1.25000 | −0.625000 | − | 0.780624i | \(-0.714901\pi\) | ||||
−0.625000 | + | 0.780624i | \(0.714901\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.27670 | −0.199045 | −0.0995226 | − | 0.995035i | \(-0.531732\pi\) | ||||
−0.0995226 | + | 0.995035i | \(0.531732\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.68958 | − | 15.3613i | −0.404872 | − | 0.929709i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.99201 | − | 2.54488i | −0.421634 | − | 0.153462i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.13219 | + | 23.4348i | −0.248279 | + | 1.40806i | 0.564473 | + | 0.825451i | \(0.309079\pi\) |
−0.812752 | + | 0.582609i | \(0.802032\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.15054 | − | 22.4369i | 0.0688808 | − | 1.34326i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.72143 | − | 3.17434i | 0.520277 | − | 0.189365i | −0.0685149 | − | 0.997650i | \(-0.521826\pi\) |
0.588792 | + | 0.808285i | \(0.299604\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.8464 | + | 14.1358i | −1.00141 | + | 0.840284i | −0.987179 | − | 0.159614i | \(-0.948975\pi\) |
−0.0142324 | + | 0.999899i | \(0.504530\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.104271 | − | 0.0690998i | 0.00617647 | − | 0.00409312i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −25.4139 | − | 44.0182i | −1.50014 | − | 2.59831i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.72816 | − | 9.92147i | 0.336951 | − | 0.583616i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 22.6766 | − | 5.45767i | 1.32933 | − | 0.319935i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.234577 | + | 1.33035i | 0.0137042 | + | 0.0777201i | 0.990893 | − | 0.134653i | \(-0.0429919\pi\) |
−0.977189 | + | 0.212373i | \(0.931881\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.46237 | − | 2.06618i | −0.143365 | − | 0.120297i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −8.23158 | + | 0.0857392i | −0.477644 | + | 0.00497509i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.125631 | − | 0.105417i | −0.00726543 | − | 0.00609642i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.487926 | − | 2.76717i | −0.0281236 | − | 0.159497i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.62986 | + | 22.4284i | −0.380876 | + | 1.28848i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.30725 | − | 5.72833i | 0.189373 | − | 0.328003i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.82453 | + | 15.2845i | 0.503643 | + | 0.872335i | 0.999991 | + | 0.00421139i | \(0.00134053\pi\) |
−0.496348 | + | 0.868123i | \(0.665326\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.6291 | − | 6.78566i | −0.775334 | − | 0.386022i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.15667 | + | 6.00516i | −0.405818 | + | 0.340521i | −0.822737 | − | 0.568422i | \(-0.807554\pi\) |
0.416920 | + | 0.908943i | \(0.363110\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.05181 | − | 1.83871i | 0.285545 | − | 0.103930i | −0.195277 | − | 0.980748i | \(-0.562561\pi\) |
0.480822 | + | 0.876818i | \(0.340338\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.06117 | − | 5.43970i | 0.285164 | − | 0.306493i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.36432 | + | 13.4087i | −0.132793 | + | 0.753109i | 0.843578 | + | 0.537007i | \(0.180445\pi\) |
−0.976371 | + | 0.216101i | \(0.930666\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.91565 | − | 2.88106i | −0.443191 | − | 0.161308i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 22.6027 | + | 2.56236i | 1.26156 | + | 0.143017i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.308753 | −0.0171795 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.1028 | 0.560403 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 23.9919 | + | 2.71985i | 1.32676 | + | 0.150408i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −9.35576 | − | 3.40522i | −0.515800 | − | 0.187736i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.00997 | − | 5.72783i | 0.0555130 | − | 0.314830i | −0.944389 | − | 0.328830i | \(-0.893346\pi\) |
0.999902 | + | 0.0140005i | \(0.00445664\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.62880 | + | 8.56391i | 0.144057 | + | 0.469299i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.82193 | + | 2.48298i | −0.372722 | + | 0.135660i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.06418 | − | 7.60575i | 0.493757 | − | 0.414312i | −0.361613 | − | 0.932328i | \(-0.617774\pi\) |
0.855371 | + | 0.518017i | \(0.173329\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −14.8460 | − | 7.39151i | −0.806323 | − | 0.401451i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.93206 | − | 10.2746i | −0.321239 | − | 0.556403i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.9933 | + | 24.2371i | −0.755566 | + | 1.30868i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.0206164 | − | 0.0697441i | 0.00110995 | − | 0.00375489i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.41697 | − | 19.3786i | −0.183432 | − | 1.04030i | −0.927953 | − | 0.372697i | \(-0.878433\pi\) |
0.744521 | − | 0.667599i | \(-0.232678\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.85788 | + | 7.43264i | 0.474151 | + | 0.397860i | 0.848306 | − | 0.529506i | \(-0.177623\pi\) |
−0.374155 | + | 0.927366i | \(0.622067\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.4627 | − | 3.93200i | 0.558459 | − | 0.209875i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.410646 | + | 0.344573i | 0.0218565 | + | 0.0183398i | 0.653650 | − | 0.756797i | \(-0.273237\pi\) |
−0.631794 | + | 0.775136i | \(0.717681\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.32782 | − | 7.53045i | −0.0704734 | − | 0.399675i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −17.8303 | + | 4.29129i | −0.943679 | + | 0.227119i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.00032 | + | 8.66081i | −0.263907 | + | 0.457100i | −0.967277 | − | 0.253724i | \(-0.918344\pi\) |
0.703370 | + | 0.710824i | \(0.251678\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.49140 | + | 16.4396i | 0.499547 | + | 0.865242i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 12.2580 | − | 8.12333i | 0.643379 | − | 0.426364i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.25690 | − | 1.05467i | 0.0657894 | − | 0.0552038i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.98683 | − | 2.17903i | 0.312510 | − | 0.113744i | −0.181004 | − | 0.983482i | \(-0.557935\pi\) |
0.493513 | + | 0.869738i | \(0.335712\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 30.1945 | − | 15.4277i | 1.57186 | − | 0.803135i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 7.76243 | − | 44.0230i | 0.403006 | − | 2.28556i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.46046 | + | 0.531564i | 0.0756198 | + | 0.0275233i | 0.379553 | − | 0.925170i | \(-0.376078\pi\) |
−0.303933 | + | 0.952693i | \(0.598300\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.69309 | + | 8.48047i | 0.190710 | + | 0.437930i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.4374 | 0.589055 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.2556 | 1.19456 | 0.597280 | − | 0.802033i | \(-0.296248\pi\) | ||||
0.597280 | + | 0.802033i | \(0.296248\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.9713 | − | 18.9034i | 0.715773 | − | 0.968452i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.20985 | − | 2.62417i | −0.368406 | − | 0.134089i | 0.151182 | − | 0.988506i | \(-0.451692\pi\) |
−0.519588 | + | 0.854417i | \(0.673914\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.681343 | − | 3.86409i | 0.0347245 | − | 0.196932i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.86024 | − | 0.230535i | 0.0945614 | − | 0.0117188i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6.27429 | + | 2.28365i | −0.318119 | + | 0.115786i | −0.496144 | − | 0.868240i | \(-0.665251\pi\) |
0.178025 | + | 0.984026i | \(0.443029\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.137514 | + | 0.115388i | −0.00695436 | + | 0.00583540i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.80166 | − | 29.1873i | −0.0908818 | − | 1.47230i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.686159 | − | 1.18846i | −0.0345244 | − | 0.0597980i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.5136 | − | 21.6742i | 0.628039 | − | 1.08780i | −0.359906 | − | 0.932989i | \(-0.617191\pi\) |
0.987945 | − | 0.154807i | \(-0.0494755\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.703509 | − | 0.740508i | −0.0352195 | − | 0.0370718i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.10210 | + | 34.6068i | 0.304725 | + | 1.72818i | 0.624798 | + | 0.780786i | \(0.285181\pi\) |
−0.320074 | + | 0.947393i | \(0.603708\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.3400 | + | 10.3545i | 0.614699 | + | 0.515794i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.45119 | + | 3.55774i | 0.171491 | + | 0.176786i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.62395 | + | 3.04086i | 0.179633 | + | 0.150730i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.87277 | + | 33.3061i | 0.290390 | + | 1.64688i | 0.685372 | + | 0.728193i | \(0.259640\pi\) |
−0.394982 | + | 0.918689i | \(0.629249\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −26.5181 | − | 27.9128i | −1.30804 | − | 1.37684i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.1236 | + | 22.7307i | −0.645768 | + | 1.11850i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.25925 | + | 2.18108i | 0.0618139 | + | 0.107065i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.13140 | + | 34.5290i | 0.104375 | + | 1.69089i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.9444 | + | 17.5744i | −1.02320 | + | 0.858567i | −0.990026 | − | 0.140882i | \(-0.955006\pi\) |
−0.0331743 | + | 0.999450i | \(0.510562\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.93343 | + | 1.06768i | −0.142967 | + | 0.0520357i | −0.412513 | − | 0.910952i | \(-0.635349\pi\) |
0.269546 | + | 0.962988i | \(0.413126\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.58829 | − | 6.11676i | 0.125847 | − | 0.297407i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.92026 | − | 10.8904i | 0.0931465 | − | 0.528260i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −50.7533 | − | 18.4727i | −2.45613 | − | 0.893957i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.50826 | − | 4.74673i | 0.169381 | − | 0.229174i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −22.5026 | −1.08391 | −0.541955 | − | 0.840407i | \(-0.682316\pi\) | ||||
−0.541955 | + | 0.840407i | \(0.682316\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.8313 | −0.616631 | −0.308316 | − | 0.951284i | \(-0.599765\pi\) | ||||
−0.308316 | + | 0.951284i | \(0.599765\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.02508 | + | 4.65021i | 0.0970953 | + | 0.222961i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.00939488 | − | 0.00341946i | −0.000449418 | − | 0.000163575i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.59930 | − | 37.4265i | 0.314967 | − | 1.78627i | −0.257436 | − | 0.966295i | \(-0.582878\pi\) |
0.572403 | − | 0.819972i | \(-0.306011\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −33.2944 | − | 21.5684i | −1.58545 | − | 1.02706i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 35.0789 | − | 12.7677i | 1.66665 | − | 0.606610i | 0.675261 | − | 0.737579i | \(-0.264031\pi\) |
0.991386 | + | 0.130969i | \(0.0418089\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.352450 | + | 0.295740i | −0.0167077 | + | 0.0140194i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.19664 | − | 1.45570i | 0.103898 | − | 0.0688525i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.5191 | + | 19.9516i | 0.543618 | + | 0.941574i | 0.998693 | + | 0.0511203i | \(0.0162792\pi\) |
−0.455075 | + | 0.890453i | \(0.650387\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.95303 | − | 15.5071i | 0.421582 | − | 0.730201i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −28.8760 | + | 6.94970i | −1.35671 | + | 0.326526i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.925106 | + | 5.24653i | 0.0433696 | + | 0.245961i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.64232 | + | 3.05627i | 0.170381 | + | 0.142966i | 0.723991 | − | 0.689810i | \(-0.242306\pi\) |
−0.553610 | + | 0.832776i | \(0.686750\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.24985 | − | 12.0257i | −0.105014 | − | 0.561311i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.60357 | − | 3.86286i | −0.214410 | − | 0.179911i | 0.529257 | − | 0.848461i | \(-0.322471\pi\) |
−0.743667 | + | 0.668550i | \(0.766915\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.806835 | + | 4.57579i | 0.0374968 | + | 0.212655i | 0.997799 | − | 0.0663056i | \(-0.0211212\pi\) |
−0.960303 | + | 0.278961i | \(0.910010\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.02503 | + | 6.85056i | −0.0939086 | + | 0.317687i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.0136 | − | 26.0044i | 0.694749 | − | 1.20334i | −0.275517 | − | 0.961296i | \(-0.588849\pi\) |
0.970265 | − | 0.242044i | \(-0.0778178\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 29.6397 | + | 51.3374i | 1.36863 | + | 2.37054i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −15.5586 | − | 7.74630i | −0.716902 | − | 0.356931i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.758291 | − | 0.636282i | 0.0348663 | − | 0.0292563i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.578749 | − | 0.210647i | 0.0265548 | − | 0.00966517i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 29.0643 | + | 6.67555i | 1.33076 | + | 0.305653i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.18414 | + | 12.3869i | −0.0997959 | + | 0.565971i | 0.893376 | + | 0.449310i | \(0.148330\pi\) |
−0.993172 | + | 0.116661i | \(0.962781\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.03587 | − | 2.19688i | −0.275212 | − | 0.100169i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.590074 | − | 0.0668940i | −0.0268493 | − | 0.00304378i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.41633 | −0.336758 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.3705 | −0.787132 | −0.393566 | − | 0.919296i | \(-0.628759\pi\) | ||||
−0.393566 | + | 0.919296i | \(0.628759\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −13.2910 | − | 1.50674i | −0.601041 | − | 0.0681372i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.66489 | + | 3.51773i | 0.436170 | + | 0.158753i | 0.550767 | − | 0.834659i | \(-0.314335\pi\) |
−0.114597 | + | 0.993412i | \(0.536558\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.17393 | − | 12.3290i | 0.0979088 | − | 0.555268i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.55110 | + | 0.585943i | 0.114663 | + | 0.0263362i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −58.6728 | + | 21.3551i | −2.63183 | + | 0.957909i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.3754 | − | 14.5797i | 0.777830 | − | 0.652677i | −0.164871 | − | 0.986315i | \(-0.552721\pi\) |
0.942701 | + | 0.333638i | \(0.108276\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −17.3771 | − | 8.65168i | −0.776350 | − | 0.386528i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.26001 | − | 9.11060i | −0.234532 | − | 0.406222i | 0.724604 | − | 0.689165i | \(-0.242023\pi\) |
−0.959137 | + | 0.282943i | \(0.908689\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.71829 | − | 6.44026i | 0.165462 | − | 0.286588i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 4.11109 | − | 13.9075i | 0.182580 | − | 0.617656i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.43561 | − | 25.1556i | −0.196605 | − | 1.11500i | −0.910115 | − | 0.414357i | \(-0.864007\pi\) |
0.713510 | − | 0.700645i | \(-0.247105\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.2632 | − | 8.61187i | −0.454018 | − | 0.380967i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.517384 | − | 0.443401i | 0.0228430 | − | 0.0195766i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.70846 | + | 3.11176i | 0.163414 | + | 0.137121i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.609062 | − | 3.45416i | −0.0267865 | − | 0.151914i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.3585 | + | 4.89976i | −0.893638 | + | 0.215076i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.8378 | + | 22.2358i | −0.562436 | + | 0.974168i | 0.434847 | + | 0.900504i | \(0.356802\pi\) |
−0.997283 | + | 0.0736635i | \(0.976531\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.12294 | − | 1.94499i | −0.0491027 | − | 0.0850483i | 0.840429 | − | 0.541921i | \(-0.182303\pi\) |
−0.889532 | + | 0.456873i | \(0.848969\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 30.4946 | − | 20.2087i | 1.33089 | − | 0.881978i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 13.5072 | − | 11.3339i | 0.588381 | − | 0.493710i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.6075 | − | 7.86448i | 0.939455 | − | 0.341934i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.6955 | − | 9.51988i | −0.637731 | − | 0.413127i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.22178 | + | 23.9429i | −0.182866 | + | 1.03708i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.79678 | − | 2.47383i | −0.293850 | − | 0.106953i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.6477 | − | 24.4504i | −0.459483 | − | 1.05511i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −20.9491 | −0.902342 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.8211 | 0.508230 | 0.254115 | − | 0.967174i | \(-0.418216\pi\) | ||||
0.254115 | + | 0.967174i | \(0.418216\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −10.0660 | + | 13.6194i | −0.431972 | + | 0.584465i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.21452 | − | 2.62587i | −0.309036 | − | 0.112480i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.48947 | − | 8.44721i | 0.0636852 | − | 0.361177i | −0.936266 | − | 0.351292i | \(-0.885742\pi\) |
0.999951 | − | 0.00988475i | \(-0.00314647\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.0410 | − | 33.1823i | 0.599255 | − | 1.41619i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.655201 | − | 0.238474i | 0.0279125 | − | 0.0101593i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.58401 | + | 7.20284i | −0.365029 | + | 0.306296i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.175495 | − | 2.84304i | −0.00744933 | − | 0.120681i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.53150 | + | 14.7770i | 0.361491 | + | 0.626121i | 0.988207 | − | 0.153127i | \(-0.0489344\pi\) |
−0.626715 | + | 0.779248i | \(0.715601\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.672013 | + | 1.16396i | −0.0284231 | + | 0.0492303i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.44994 | − | 4.68397i | −0.187876 | − | 0.197757i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.26297 | + | 35.5191i | 0.263953 | + | 1.49695i | 0.772001 | + | 0.635621i | \(0.219256\pi\) |
−0.508048 | + | 0.861329i | \(0.669633\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.03956 | + | 3.38959i | 0.169946 | + | 0.142601i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 23.7158 | − | 32.7971i | 0.995971 | − | 1.37735i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3.52807 | − | 2.96041i | −0.147905 | − | 0.124107i | 0.565833 | − | 0.824520i | \(-0.308555\pi\) |
−0.713738 | + | 0.700413i | \(0.752999\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.75165 | − | 9.93411i | −0.0733044 | − | 0.415730i | −0.999273 | − | 0.0381288i | \(-0.987860\pi\) |
0.925968 | − | 0.377601i | \(-0.123251\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20.0469 | − | 21.1013i | −0.837473 | − | 0.881517i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.179042 | − | 0.310109i | 0.00746656 | − | 0.0129325i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.6464 | + | 35.7607i | 0.859522 | + | 1.48874i | 0.872386 | + | 0.488818i | \(0.162572\pi\) |
−0.0128636 | + | 0.999917i | \(0.504095\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.87855 | + | 30.4329i | 0.0780700 | + | 1.26475i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 15.7535 | − | 13.2187i | 0.653564 | − | 0.548405i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.7983 | − | 5.38614i | 0.612883 | − | 0.223071i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.52701 | + | 0.437094i | −0.145824 | + | 0.0180716i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.41340 | + | 8.01580i | −0.0583373 | + | 0.330848i | −0.999983 | − | 0.00575708i | \(-0.998167\pi\) |
0.941646 | + | 0.336605i | \(0.109279\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.922805 | + | 0.335873i | 0.0380235 | + | 0.0138394i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −21.3602 | + | 28.9006i | −0.878640 | + | 1.18881i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.78859 | 0.155579 | 0.0777893 | − | 0.996970i | \(-0.475214\pi\) | ||||
0.0777893 | + | 0.996970i | \(0.475214\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.83136 | 0.239062 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −10.4547 | − | 24.0072i | −0.427882 | − | 0.982549i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 41.9331 | + | 15.2624i | 1.71334 | + | 0.623604i | 0.997230 | − | 0.0743840i | \(-0.0236990\pi\) |
0.716109 | + | 0.697988i | \(0.245921\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.10224 | − | 28.9362i | 0.208125 | − | 1.18033i | −0.684322 | − | 0.729180i | \(-0.739902\pi\) |
0.892446 | − | 0.451153i | \(-0.148987\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −35.2152 | + | 17.9930i | −1.43407 | + | 0.732731i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.39385 | + | 1.59923i | −0.178635 | + | 0.0650180i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.3231 | − | 19.5704i | 0.946655 | − | 0.794338i | −0.0320758 | − | 0.999485i | \(-0.510212\pi\) |
0.978731 | + | 0.205147i | \(0.0657674\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 34.5229 | − | 22.8782i | 1.39894 | − | 0.927071i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.38115 | + | 4.12428i | 0.0963311 | + | 0.166850i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.3169 | − | 24.7976i | 0.578253 | − | 1.00156i | −0.417426 | − | 0.908711i | \(-0.637068\pi\) |
0.995680 | − | 0.0928535i | \(-0.0295988\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.4822 | + | 2.52280i | −0.422684 | + | 0.101729i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.57548 | − | 25.9489i | −0.184202 | − | 1.04466i | −0.926976 | − | 0.375120i | \(-0.877602\pi\) |
0.742774 | − | 0.669542i | \(-0.233510\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.272269 | + | 0.228461i | 0.0109434 | + | 0.00918262i | 0.648243 | − | 0.761434i | \(-0.275504\pi\) |
−0.637300 | + | 0.770616i | \(0.719949\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.0647259 | − | 0.390840i | 0.00259736 | − | 0.0156839i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.87792 | + | 2.41486i | 0.115301 | + | 0.0967494i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.56714 | + | 20.2302i | 0.142685 | + | 0.809209i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.102003 | − | 0.345070i | 0.00407361 | − | 0.0137808i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.51539 | + | 6.08883i | −0.140168 | + | 0.242777i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.07486 | + | 8.78991i | 0.202027 | + | 0.349921i | 0.949181 | − | 0.314730i | \(-0.101914\pi\) |
−0.747155 | + | 0.664650i | \(0.768581\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.1584 | + | 5.05763i | 0.403759 | + | 0.201023i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.72557 | + | 4.80433i | −0.227212 | + | 0.190654i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 26.7286 | − | 9.72843i | 1.05903 | − | 0.385454i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.2230 | − | 39.8192i | −0.483534 | − | 1.57522i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.17069 | − | 29.3245i | 0.204230 | − | 1.15825i | −0.694416 | − | 0.719573i | \(-0.744337\pi\) |
0.898647 | − | 0.438673i | \(-0.144551\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.7445 | − | 7.91435i | −0.857519 | − | 0.312111i | −0.124417 | − | 0.992230i | \(-0.539706\pi\) |
−0.733102 | + | 0.680119i | \(0.761928\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.592229 | − | 0.0671383i | −0.0233190 | − | 0.00264357i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 25.4188 | 0.999315 | 0.499658 | − | 0.866223i | \(-0.333459\pi\) | ||||
0.499658 | + | 0.866223i | \(0.333459\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.24655 | −0.362959 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 57.9596 | + | 6.57061i | 2.27162 | + | 0.257523i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.824384 | − | 0.300051i | −0.0322606 | − | 0.0117419i | 0.325839 | − | 0.945425i | \(-0.394353\pi\) |
−0.358100 | + | 0.933683i | \(0.616575\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.61463 | + | 9.15703i | −0.0630889 | + | 0.357795i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.08812 | − | 6.54346i | 0.237520 | − | 0.255285i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.12848 | + | 0.410732i | −0.0439592 | + | 0.0159999i | −0.363906 | − | 0.931436i | \(-0.618557\pi\) |
0.319947 | + | 0.947435i | \(0.396335\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.3165 | + | 17.0475i | −0.790219 | + | 0.663072i | −0.945800 | − | 0.324751i | \(-0.894720\pi\) |
0.155581 | + | 0.987823i | \(0.450275\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 7.85276 | + | 3.90973i | 0.304976 | + | 0.151841i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.162388 | + | 0.281264i | 0.00629713 | + | 0.0109070i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.202693 | − | 0.351075i | 0.00784830 | − | 0.0135937i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.05479 | + | 27.2488i | −0.311416 | + | 1.05350i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.30406 | − | 18.7382i | −0.127552 | − | 0.723381i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.03892 | − | 5.06726i | −0.232783 | − | 0.195328i | 0.518933 | − | 0.854815i | \(-0.326329\pi\) |
−0.751716 | + | 0.659486i | \(0.770774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 12.4218 | + | 21.0069i | 0.478116 | + | 0.808554i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −21.6768 | − | 18.1890i | −0.833106 | − | 0.699059i | 0.122896 | − | 0.992420i | \(-0.460782\pi\) |
−0.956002 | + | 0.293361i | \(0.905226\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.5158 | + | 59.6379i | 0.403558 | + | 2.28869i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −33.6064 | + | 8.08819i | −1.28780 | + | 0.309940i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −20.3815 | + | 35.3019i | −0.779878 | + | 1.35079i | 0.152134 | + | 0.988360i | \(0.451386\pi\) |
−0.932012 | + | 0.362428i | \(0.881948\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.12106 | + | 10.6020i | 0.233874 | + | 0.405081i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.8621 | + | 11.1745i | −0.643331 | + | 0.426332i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −16.3797 | + | 13.7442i | −0.624016 | + | 0.523612i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.4737 | − | 3.81210i | 0.398437 | − | 0.145019i | −0.135027 | − | 0.990842i | \(-0.543112\pi\) |
0.533464 | + | 0.845823i | \(0.320890\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.09456 | − | 21.3453i | 0.0415790 | − | 0.810840i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.91014 | − | 10.8329i | 0.0724556 | − | 0.410916i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.0069 | + | 9.10177i | 0.947205 | + | 0.344754i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.14640 | + | 2.63250i | 0.0433610 | + | 0.0995701i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.5796 | −1.11721 | −0.558603 | − | 0.829435i | \(-0.688663\pi\) | ||||
−0.558603 | + | 0.829435i | \(0.688663\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.391577 | −0.0147686 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.25525 | + | 1.69837i | −0.0472753 | + | 0.0639642i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −57.0611 | − | 20.7686i | −2.14600 | − | 0.781082i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.51526 | + | 25.6073i | −0.169574 | + | 0.961702i | 0.774648 | + | 0.632393i | \(0.217927\pi\) |
−0.944222 | + | 0.329310i | \(0.893184\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.50549 | − | 5.96501i | −0.168969 | − | 0.223705i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.536525 | − | 0.195279i | 0.0200930 | − | 0.00731326i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.43772 | + | 1.20639i | −0.0537676 | + | 0.0451163i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.67489 | − | 43.3337i | −0.0998955 | − | 1.61833i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.79281 | − | 16.9616i | −0.365210 | − | 0.632563i | 0.623600 | − | 0.781744i | \(-0.285670\pi\) |
−0.988810 | + | 0.149181i | \(0.952336\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 19.7647 | − | 34.2335i | 0.736077 | − | 1.27492i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.02141 | + | 8.44327i | 0.298319 | + | 0.314009i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.33649 | + | 24.5934i | 0.161053 | + | 0.913378i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.4800 | − | 12.9892i | −0.574120 | − | 0.481744i | 0.308890 | − | 0.951098i | \(-0.400042\pi\) |
−0.883010 | + | 0.469354i | \(0.844487\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 21.0402 | + | 16.9207i | 0.779267 | + | 0.626692i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.12696 | + | 0.945636i | 0.0416823 | + | 0.0349756i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.52512 | − | 8.64940i | −0.0563317 | − | 0.319473i | 0.943601 | − | 0.331085i | \(-0.107415\pi\) |
−0.999933 | + | 0.0116123i | \(0.996304\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.68792 | + | 9.14484i | 0.320459 | + | 0.337313i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.4417 | + | 18.0856i | −0.384625 | + | 0.666191i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.350274 | − | 0.606693i | −0.0128850 | − | 0.0223176i | 0.859511 | − | 0.511117i | \(-0.170768\pi\) |
−0.872396 | + | 0.488800i | \(0.837435\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0301008 | + | 0.487638i | 0.00110578 | + | 0.0179138i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.9763 | + | 23.4749i | −1.02635 | + | 0.861211i | −0.990412 | − | 0.138143i | \(-0.955887\pi\) |
−0.0359390 | + | 0.999354i | \(0.511442\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.787380 | + | 0.286583i | −0.0288474 | + | 0.0104996i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 8.26853 | + | 10.9470i | 0.302530 | + | 0.400531i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −10.2558 | + | 58.1635i | −0.374739 | + | 2.12525i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.69787 | + | 0.617975i | 0.0619562 | + | 0.0225502i | 0.372812 | − | 0.927907i | \(-0.378394\pi\) |
−0.310856 | + | 0.950457i | \(0.600616\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −17.4499 | + | 23.6100i | −0.635911 | + | 0.860397i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.44382 | 0.343696 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.5421 | −1.54622 | −0.773110 | − | 0.634272i | \(-0.781300\pi\) | ||||
−0.773110 | + | 0.634272i | \(0.781300\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.0835294 | − | 0.191809i | −0.00303193 | − | 0.00696223i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 17.0121 | + | 6.19188i | 0.616687 | + | 0.224456i | 0.631427 | − | 0.775436i | \(-0.282470\pi\) |
−0.0147397 | + | 0.999891i | \(0.504692\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.8861 | + | 61.7383i | −0.394104 | + | 2.23508i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.199220 | + | 3.88503i | −0.00720281 | + | 0.140464i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 11.7975 | − | 4.29395i | 0.425984 | − | 0.155046i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.8463 | − | 15.8140i | 0.679616 | − | 0.570266i | −0.236278 | − | 0.971686i | \(-0.575928\pi\) |
0.915894 | + | 0.401420i | \(0.131483\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 26.0817 | − | 17.2842i | 0.939308 | − | 0.622475i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.910090 | − | 1.57632i | −0.0327337 | − | 0.0566964i | 0.849194 | − | 0.528080i | \(-0.177088\pi\) |
−0.881928 | + | 0.471384i | \(0.843755\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.5862 | + | 30.4603i | −0.631716 | + | 1.09416i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −22.6133 | + | 5.44244i | −0.811247 | + | 0.195246i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.257370 | + | 1.45962i | 0.00922125 | + | 0.0522963i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.8501 | − | 14.1389i | −0.602945 | − | 0.505931i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 14.0627 | + | 23.7818i | 0.502561 | + | 0.849894i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.23346 | + | 3.55229i | 0.151099 | + | 0.126787i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.75175 | + | 38.2911i | 0.240674 | + | 1.36493i | 0.830329 | + | 0.557274i | \(0.188153\pi\) |
−0.589655 | + | 0.807655i | \(0.700736\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.57483 | − | 22.2422i | 0.234070 | − | 0.791844i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21.5294 | − | 37.2900i | 0.765497 | − | 1.32588i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.9173 | + | 22.3735i | 0.458708 | + | 0.794505i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.48828 | − | 4.22614i | −0.301048 | − | 0.149886i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −24.1371 | + | 20.2534i | −0.854979 | + | 0.717412i | −0.960880 | − | 0.276964i | \(-0.910672\pi\) |
0.105902 | + | 0.994377i | \(0.466227\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.89837 | − | 1.78286i | 0.173292 | − | 0.0630731i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.70718 | + | 1.83486i | −0.0603201 | + | 0.0648316i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.819593 | − | 4.64814i | 0.0289228 | − | 0.164029i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.177439 | + | 0.0645826i | 0.00625391 | + | 0.00227624i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.2837 | + | 3.99995i | 1.24205 | + | 0.140805i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.67311 | −0.269772 | −0.134886 | − | 0.990861i | \(-0.543067\pi\) | ||||
−0.134886 | + | 0.990861i | \(0.543067\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.7110 | 0.551687 | 0.275844 | − | 0.961202i | \(-0.411043\pi\) | ||||
0.275844 | + | 0.961202i | \(0.411043\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.63929 | + | 0.639300i | 0.197778 | + | 0.0224212i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.99670 | + | 1.45468i | 0.139998 | + | 0.0509552i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.0142279 | + | 0.0806904i | −0.000497771 | + | 0.00282300i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.51587 | + | 27.7424i | 0.297569 | + | 0.969398i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 41.5358 | − | 15.1178i | 1.44961 | − | 0.527614i | 0.507126 | − | 0.861872i | \(-0.330708\pi\) |
0.942482 | + | 0.334258i | \(0.108486\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.9960 | − | 15.1005i | 0.627302 | − | 0.526369i | −0.272787 | − | 0.962074i | \(-0.587946\pi\) |
0.900089 | + | 0.435706i | \(0.143501\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.5369 | + | 5.74399i | 0.401664 | + | 0.199980i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.5226 | + | 28.6180i | 0.574548 | + | 0.995147i | 0.996091 | + | 0.0883382i | \(0.0281556\pi\) |
−0.421542 | + | 0.906809i | \(0.638511\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.53328 | − | 9.58392i | 0.192179 | − | 0.332863i | −0.753793 | − | 0.657112i | \(-0.771778\pi\) |
0.945972 | + | 0.324248i | \(0.105111\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.6839 | − | 39.5257i | 0.405308 | − | 1.37113i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.40642 | − | 30.6613i | −0.187321 | − | 1.06235i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.72826 | + | 3.96748i | 0.163628 | + | 0.137300i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.35765 | + | 38.3900i | −0.219752 | + | 1.32695i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 20.4800 | + | 17.1847i | 0.707047 | + | 0.593283i | 0.923769 | − | 0.382950i | \(-0.125092\pi\) |
−0.216722 | + | 0.976233i | \(0.569536\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.126464 | − | 0.717215i | −0.00436084 | − | 0.0247315i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −15.6291 | + | 3.76153i | −0.538296 | + | 0.129554i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.30566 | + | 3.99352i | −0.0793171 | + | 0.137381i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.0902 | + | 33.0653i | 0.655948 | + | 1.13614i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 31.7510 | − | 21.0412i | 1.08969 | − | 0.722133i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.174402 | + | 0.146340i | −0.00597841 | + | 0.00501648i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.7320 | + | 6.81788i | −0.641371 | + | 0.233440i | −0.642173 | − | 0.766560i | \(-0.721967\pi\) |
0.000802052 | 1.00000i | \(0.499745\pi\) | ||||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.192935 | + | 0.0985789i | −0.00659822 | + | 0.00337133i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.0823078 | − | 0.466791i | 0.00281158 | − | 0.0159453i | −0.983370 | − | 0.181615i | \(-0.941867\pi\) |
0.986181 | + | 0.165670i | \(0.0529786\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.3085 | − | 8.48361i | −0.795276 | − | 0.289457i | −0.0877487 | − | 0.996143i | \(-0.527967\pi\) |
−0.707528 | + | 0.706686i | \(0.750189\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 35.1499 | + | 80.7149i | 1.19791 | + | 2.75076i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −48.6571 | −1.65631 | −0.828153 | − | 0.560502i | \(-0.810608\pi\) | ||||
−0.828153 | + | 0.560502i | \(0.810608\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.65820 | 0.226386 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.7941 | + | 15.9575i | −0.400547 | + | 0.541946i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.70954 | − | 1.35016i | −0.125838 | − | 0.0458011i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.92376 | − | 27.9241i | 0.166835 | − | 0.946171i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −40.0919 | + | 4.96849i | −1.35690 | + | 0.168158i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.5673 | + | 8.21384i | −0.762915 | + | 0.277678i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.64792 | − | 5.57826i | 0.224484 | − | 0.188365i | −0.523608 | − | 0.851959i | \(-0.675414\pi\) |
0.748092 | + | 0.663595i | \(0.230970\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.144155 | − | 2.33534i | −0.00486224 | − | 0.0787692i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −18.3761 | − | 31.8283i | −0.619106 | − | 1.07232i | −0.989649 | − | 0.143508i | \(-0.954162\pi\) |
0.370543 | − | 0.928815i | \(-0.379172\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.0318 | + | 24.3037i | −0.472206 | + | 0.817885i | −0.999494 | − | 0.0318014i | \(-0.989876\pi\) |
0.527288 | + | 0.849687i | \(0.323209\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.83469 | + | 4.03637i | 0.128902 | + | 0.135681i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −2.24672 | − | 12.7418i | −0.0754375 | − | 0.427827i | −0.999013 | − | 0.0444116i | \(-0.985859\pi\) |
0.923576 | − | 0.383416i | \(-0.125252\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 46.7521 | + | 39.2296i | 1.56801 | + | 1.31572i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 14.1835 | + | 1.45846i | 0.475165 | + | 0.0488603i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.222399 | + | 0.186615i | 0.00744231 | + | 0.00624484i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.47248 | + | 8.35084i | 0.0492195 | + | 0.279138i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.195647 | + | 0.205937i | 0.00653246 | + | 0.00687602i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −19.9094 | + | 34.4840i | −0.664014 | + | 1.15011i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.7023 | + | 20.2689i | 0.389859 | + | 0.675256i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.299846 | + | 4.85757i | 0.00997826 | + | 0.161650i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4.12512 | − | 3.46139i | 0.137124 | − | 0.115060i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.7467 | + | 7.91515i | −0.722087 | + | 0.262818i | −0.676812 | − | 0.736156i | \(-0.736639\pi\) |
−0.0452756 | + | 0.998975i | \(0.514417\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.7861 | − | 37.3064i | 0.523591 | − | 1.23737i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.19459 | + | 52.1451i | −0.304631 | + | 1.72765i | 0.320608 | + | 0.947212i | \(0.396113\pi\) |
−0.625239 | + | 0.780434i | \(0.714998\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.80779 | + | 2.47783i | 0.225305 | + | 0.0820043i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −6.80949 | + | 9.21334i | −0.225115 | + | 0.304584i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 75.9250 | 2.50726 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −23.7372 | −0.783019 | −0.391509 | − | 0.920174i | \(-0.628047\pi\) | ||||
−0.391509 | + | 0.920174i | \(0.628047\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −12.2052 | − | 28.0268i | −0.402174 | − | 0.923515i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 28.0647 | + | 10.2147i | 0.923761 | + | 0.336222i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.43538 | − | 13.8117i | 0.0800747 | − | 0.454126i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 22.1322 | + | 14.3374i | 0.726916 | + | 0.470902i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1.36575 | − | 0.497092i | 0.0448088 | − | 0.0163091i | −0.319519 | − | 0.947580i | \(-0.603521\pi\) |
0.364327 | + | 0.931271i | \(0.381299\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.32833 | − | 1.11461i | 0.0435344 | − | 0.0365297i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 13.4885 | − | 8.93874i | 0.441592 | − | 0.292641i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.02716 | + | 1.77909i | 0.0335917 | + | 0.0581826i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.05751 | − | 8.75987i | 0.165222 | − | 0.286172i | −0.771512 | − | 0.636214i | \(-0.780499\pi\) |
0.936734 | + | 0.350042i | \(0.113833\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.05304 | + | 2.17883i | −0.295435 | + | 0.0711036i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 9.55560 | + | 54.1925i | 0.311504 | + | 1.76662i | 0.591189 | + | 0.806533i | \(0.298659\pi\) |
−0.279686 | + | 0.960092i | \(0.590230\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.660119 | + | 0.553905i | 0.0214964 | + | 0.0180376i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −9.77172 | + | 8.37442i | −0.317874 | + | 0.272420i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.9934 | − | 16.7765i | −0.649699 | − | 0.545162i | 0.257281 | − | 0.966337i | \(-0.417174\pi\) |
−0.906980 | + | 0.421175i | \(0.861618\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.11282 | + | 6.31110i | 0.0361236 | + | 0.204867i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.68516 | − | 22.6155i | 0.216781 | − | 0.733357i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.2220 | − | 43.6858i | 0.817022 | − | 1.41512i | −0.0908457 | − | 0.995865i | \(-0.528957\pi\) |
0.907867 | − | 0.419258i | \(-0.137710\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.62735 | + | 8.01480i | 0.149737 | + | 0.259353i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.0609 | + | 6.50277i | 0.422200 | + | 0.210205i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 76.5760 | − | 64.2549i | 2.47277 | − | 2.07490i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.5692 | + | 8.57850i | −0.760298 | + | 0.276726i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −38.3999 | − | 8.81980i | −1.23742 | − | 0.284214i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.68354 | − | 9.54782i | 0.0541950 | − | 0.307355i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.30107 | + | 2.29340i | 0.202629 | + | 0.0737509i | 0.441341 | − | 0.897340i | \(-0.354503\pi\) |
−0.238712 | + | 0.971090i | \(0.576725\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.531373 | + | 0.0602393i | 0.0170702 | + | 0.00193516i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 47.8500 | 1.53558 | 0.767789 | − | 0.640703i | \(-0.221357\pi\) | ||||
0.767789 | + | 0.640703i | \(0.221357\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −89.8206 | −2.87952 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −17.3872 | − | 1.97111i | −0.556836 | − | 0.0631259i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.9385 | − | 3.98129i | −0.349954 | − | 0.127373i | 0.161061 | − | 0.986944i | \(-0.448508\pi\) |
−0.511015 | + | 0.859572i | \(0.670730\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.229823 | + | 1.30339i | −0.00734517 | + | 0.0416565i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −40.7601 | − | 9.36188i | −1.30137 | − | 0.298902i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −40.4922 | + | 14.7380i | −1.29150 | + | 0.470068i | −0.894220 | − | 0.447628i | \(-0.852269\pi\) |
−0.397282 | + | 0.917696i | \(0.630047\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.75358 | − | 7.34512i | 0.278912 | − | 0.234035i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 15.4371 | + | 7.68583i | 0.491370 | + | 0.244643i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.0238188 | + | 0.0412554i | 0.000757394 | + | 0.00131185i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.4178 | − | 37.0967i | 0.680359 | − | 1.17842i | −0.294512 | − | 0.955648i | \(-0.595157\pi\) |
0.974871 | − | 0.222769i | \(-0.0715095\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.85571 | + | 9.66070i | −0.0906234 | + | 0.306573i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.44579 | + | 8.19947i | 0.0458345 | + | 0.259941i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.0764 | + | 15.1679i | 0.572484 | + | 0.480371i | 0.882469 | − | 0.470370i | \(-0.155880\pi\) |
−0.309985 | + | 0.950741i | \(0.600324\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.85337 | − | 15.2516i | −0.0902766 | − | 0.482539i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.y.a.97.1 | ✓ | 48 | |
4.3 | odd | 2 | inner | 864.2.y.a.97.8 | yes | 48 | |
27.22 | even | 9 | inner | 864.2.y.a.481.1 | yes | 48 | |
108.103 | odd | 18 | inner | 864.2.y.a.481.8 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.a.97.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
864.2.y.a.97.8 | yes | 48 | 4.3 | odd | 2 | inner | |
864.2.y.a.481.1 | yes | 48 | 27.22 | even | 9 | inner | |
864.2.y.a.481.8 | yes | 48 | 108.103 | odd | 18 | inner |