Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(17,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.x (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 337.1 | ||
Character | \(\chi\) | \(=\) | 460.337 |
Dual form | 460.2.x.a.273.1 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −3.04222 | − | 1.13469i | −1.75643 | − | 0.655114i | −0.999999 | − | 0.00103813i | \(-0.999670\pi\) |
−0.756429 | − | 0.654076i | \(-0.773058\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.23290 | + | 0.118951i | 0.998584 | + | 0.0531965i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.19659 | + | 0.260302i | −0.452268 | + | 0.0983849i | −0.432929 | − | 0.901428i | \(-0.642520\pi\) |
−0.0193393 | + | 0.999813i | \(0.506156\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 5.70035 | + | 4.93938i | 1.90012 | + | 1.64646i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.536277 | − | 0.0771049i | 0.161694 | − | 0.0232480i | −0.0609926 | − | 0.998138i | \(-0.519427\pi\) |
0.222686 | + | 0.974890i | \(0.428518\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.502683 | − | 2.31080i | 0.139419 | − | 0.640900i | −0.853398 | − | 0.521260i | \(-0.825462\pi\) |
0.992817 | − | 0.119640i | \(-0.0381741\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −6.65801 | − | 2.89553i | −1.71909 | − | 0.747622i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.786784 | + | 1.44089i | −0.190823 | + | 0.349467i | −0.955521 | − | 0.294922i | \(-0.904706\pi\) |
0.764698 | + | 0.644389i | \(0.222888\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.75454 | + | 0.808805i | 0.631934 | + | 0.185553i | 0.581985 | − | 0.813199i | \(-0.302276\pi\) |
0.0499485 | + | 0.998752i | \(0.484094\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.93565 | + | 0.565862i | 0.858830 | + | 0.123481i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.33216 | − | 4.19059i | 0.486289 | − | 0.873798i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.97170 | + | 0.531212i | 0.994340 | + | 0.106242i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −7.06879 | − | 12.9455i | −1.36039 | − | 2.49137i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.81361 | − | 9.58226i | −0.522473 | − | 1.77938i | −0.620510 | − | 0.784198i | \(-0.713074\pi\) |
0.0980369 | − | 0.995183i | \(-0.468744\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.27302 | − | 7.16691i | 0.587852 | − | 1.28722i | −0.348880 | − | 0.937167i | \(-0.613438\pi\) |
0.936732 | − | 0.350048i | \(-0.113835\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.71896 | − | 0.373938i | −0.299233 | − | 0.0650942i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.70283 | + | 0.438893i | −0.456862 | + | 0.0741865i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.814884 | − | 11.3936i | −0.133966 | − | 1.87309i | −0.410195 | − | 0.911998i | \(-0.634539\pi\) |
0.276229 | − | 0.961092i | \(-0.410915\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.15131 | + | 6.45957i | −0.664742 | + | 1.03436i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.13912 | + | 3.62274i | 0.490248 | + | 0.565777i | 0.945932 | − | 0.324365i | \(-0.105151\pi\) |
−0.455684 | + | 0.890142i | \(0.650605\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.300335 | + | 0.805229i | −0.0458006 | + | 0.122796i | −0.957836 | − | 0.287315i | \(-0.907237\pi\) |
0.912036 | + | 0.410111i | \(0.134510\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 12.1408 | + | 11.7072i | 1.80984 | + | 1.74521i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.65709 | + | 3.65709i | 0.533442 | + | 0.533442i | 0.921595 | − | 0.388153i | \(-0.126887\pi\) |
−0.388153 | + | 0.921595i | \(0.626887\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00335 | + | 2.28496i | −0.714765 | + | 0.326422i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.02854 | − | 3.49075i | 0.564108 | − | 0.488802i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.621826 | + | 2.85849i | 0.0854144 | + | 0.392643i | 0.999929 | − | 0.0119092i | \(-0.00379089\pi\) |
−0.914515 | + | 0.404553i | \(0.867427\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.20662 | − | 0.108377i | 0.162701 | − | 0.0146136i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.46217 | − | 5.58611i | −0.988389 | − | 0.739898i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.16138 | + | 4.91920i | 0.411576 | + | 0.640425i | 0.983716 | − | 0.179731i | \(-0.0575227\pi\) |
−0.572139 | + | 0.820156i | \(0.693886\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.42922 | + | 2.93613i | 0.823177 | + | 0.375932i | 0.782046 | − | 0.623221i | \(-0.214176\pi\) |
0.0411317 | + | 0.999154i | \(0.486904\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.10671 | − | 4.42660i | −1.02135 | − | 0.557699i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.39731 | − | 5.09999i | 0.173315 | − | 0.632576i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.11047 | + | 6.82679i | 0.624343 | + | 0.834025i | 0.995521 | − | 0.0945369i | \(-0.0301370\pi\) |
−0.371178 | + | 0.928562i | \(0.621046\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −11.8500 | + | 10.1024i | −1.42657 | + | 1.21619i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.26801 | − | 8.81920i | 0.150485 | − | 1.04665i | −0.764924 | − | 0.644121i | \(-0.777223\pi\) |
0.915409 | − | 0.402525i | \(-0.131867\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.23424 | − | 0.673947i | 0.144457 | − | 0.0788796i | −0.405395 | − | 0.914142i | \(-0.632866\pi\) |
0.549852 | + | 0.835262i | \(0.314684\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −14.5223 | − | 7.25741i | −1.67689 | − | 0.838013i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.621632 | + | 0.231857i | −0.0708416 | + | 0.0264225i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.9404 | + | 7.03094i | −1.23089 | + | 0.791043i | −0.984029 | − | 0.178009i | \(-0.943034\pi\) |
−0.246857 | + | 0.969052i | \(0.579398\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.59538 | + | 25.0064i | 0.399487 | + | 2.77849i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.7562 | − | 0.912343i | 1.40018 | − | 0.100143i | 0.649274 | − | 0.760555i | \(-0.275073\pi\) |
0.750903 | + | 0.660412i | \(0.229618\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.92821 | + | 3.12377i | −0.209143 | + | 0.338821i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.31328 | + | 32.3439i | −0.248010 | + | 3.46764i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.53890 | − | 3.36972i | −0.163123 | − | 0.357189i | 0.810366 | − | 0.585924i | \(-0.199268\pi\) |
−0.973489 | + | 0.228735i | \(0.926541\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.89592i | 0.303575i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −18.0895 | + | 18.0895i | −1.87579 | + | 1.87579i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 6.05440 | + | 2.13364i | 0.621168 | + | 0.218906i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.65804 | − | 0.261628i | −0.371418 | − | 0.0265643i | −0.115617 | − | 0.993294i | \(-0.536885\pi\) |
−0.255801 | + | 0.966730i | \(0.582339\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.43782 | + | 2.20935i | 0.345514 | + | 0.222048i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.97673 | − | 10.3597i | 0.893219 | − | 1.03083i | −0.106116 | − | 0.994354i | \(-0.533842\pi\) |
0.999335 | − | 0.0364754i | \(-0.0116130\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.30140 | + | 7.08185i | −0.522363 | + | 0.697795i | −0.981693 | − | 0.190471i | \(-0.938999\pi\) |
0.459330 | + | 0.888266i | \(0.348090\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.72062 | + | 1.73166i | 0.851045 | + | 0.168993i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.29832 | − | 16.8864i | −0.608881 | − | 1.63247i | −0.764475 | − | 0.644653i | \(-0.777002\pi\) |
0.155594 | − | 0.987821i | \(-0.450271\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.21350 | − | 1.23720i | 0.403580 | − | 0.118502i | −0.0736414 | − | 0.997285i | \(-0.523462\pi\) |
0.477222 | + | 0.878783i | \(0.341644\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.4491 | + | 35.5864i | −0.991786 | + | 3.37771i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.0708662 | − | 0.0530498i | 0.00666653 | − | 0.00499050i | −0.595939 | − | 0.803030i | \(-0.703220\pi\) |
0.602606 | + | 0.798039i | \(0.294129\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.70596 | − | 9.07976i | 0.532083 | − | 0.846692i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 14.2794 | − | 10.6894i | 1.32013 | − | 0.988236i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.566392 | − | 1.92895i | 0.0519210 | − | 0.176827i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.2728 | + | 3.01636i | −0.933889 | + | 0.274214i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.43922 | − | 14.5831i | −0.490438 | − | 1.31491i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.0381 | + | 1.77753i | 0.987281 | + | 0.158987i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.44681 | + | 3.26856i | −0.217119 | + | 0.290038i | −0.895856 | − | 0.444344i | \(-0.853437\pi\) |
0.678737 | + | 0.734382i | \(0.262528\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.82737 | − | 2.10890i | 0.160891 | − | 0.185678i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.6420 | + | 8.76715i | 1.19190 | + | 0.765990i | 0.977537 | − | 0.210764i | \(-0.0675950\pi\) |
0.214366 | + | 0.976753i | \(0.431231\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.50658 | − | 0.250796i | −0.304059 | − | 0.0217467i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −14.2440 | − | 29.7469i | −1.22593 | − | 2.56021i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.70149 | + | 9.70149i | −0.828854 | + | 0.828854i | −0.987358 | − | 0.158504i | \(-0.949333\pi\) |
0.158504 | + | 0.987358i | \(0.449333\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 12.4933i | − | 1.05966i | −0.848102 | − | 0.529832i | \(-0.822255\pi\) | ||
0.848102 | − | 0.529832i | \(-0.177745\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.97602 | − | 15.2754i | −0.587487 | − | 1.28642i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.0914034 | − | 1.27799i | 0.00764353 | − | 0.106871i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.14268 | − | 21.7309i | −0.427077 | − | 1.80466i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 17.8140 | − | 1.27409i | 1.46928 | − | 0.105085i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.54384 | − | 10.7376i | −0.126476 | − | 0.879661i | −0.949971 | − | 0.312338i | \(-0.898888\pi\) |
0.823495 | − | 0.567324i | \(-0.192021\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.41885 | − | 2.83983i | 0.359601 | − | 0.231102i | −0.348348 | − | 0.937365i | \(-0.613257\pi\) |
0.707949 | + | 0.706264i | \(0.249621\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −11.6020 | + | 4.32734i | −0.937970 | + | 0.349845i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.16084 | − | 15.6137i | 0.655495 | − | 1.25412i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.04208 | + | 3.84526i | −0.562019 | + | 0.306886i | −0.735030 | − | 0.678034i | \(-0.762832\pi\) |
0.173011 | + | 0.984920i | \(0.444650\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.35177 | − | 9.40174i | 0.107202 | − | 0.745606i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.69982 | + | 5.62148i | −0.133964 | + | 0.443035i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.45843 | − | 4.61992i | −0.270885 | − | 0.361860i | 0.644385 | − | 0.764701i | \(-0.277114\pi\) |
−0.915270 | + | 0.402841i | \(0.868023\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.79380 | − | 1.03944i | −0.295347 | − | 0.0809202i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.4583 | + | 8.44089i | 1.19620 | + | 0.653176i | 0.948843 | − | 0.315748i | \(-0.102255\pi\) |
0.247359 | + | 0.968924i | \(0.420437\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.73812 | + | 3.07720i | 0.518317 | + | 0.236708i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.7068 | + | 18.2162i | 0.895243 | + | 1.39303i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 18.6082 | + | 13.9299i | 1.41475 | + | 1.05907i | 0.987958 | + | 0.154724i | \(0.0494488\pi\) |
0.426796 | + | 0.904348i | \(0.359642\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.08736 | + | 0.658501i | −0.460161 | + | 0.0497780i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.03585 | − | 18.5525i | −0.303353 | − | 1.39449i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.88319 | − | 3.36481i | 0.290243 | − | 0.251497i | −0.497552 | − | 0.867434i | \(-0.665768\pi\) |
0.787796 | + | 0.615937i | \(0.211222\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.6672 | + | 7.15495i | −1.16453 | + | 0.531823i | −0.901421 | − | 0.432943i | \(-0.857475\pi\) |
−0.263109 | + | 0.964766i | \(0.584748\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −16.2275 | − | 16.2275i | −1.19957 | − | 1.19957i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.464279 | − | 25.5376i | −0.0341345 | − | 1.87756i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.310834 | + | 0.833379i | −0.0227305 | + | 0.0609427i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 11.8282 | + | 13.6504i | 0.860374 | + | 0.992924i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.39070 | + | 8.38809i | −0.390057 | + | 0.606941i | −0.979639 | − | 0.200768i | \(-0.935656\pi\) |
0.589581 | + | 0.807709i | \(0.299293\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.27599 | + | 17.8407i | 0.0918481 | + | 1.28420i | 0.809217 | + | 0.587510i | \(0.199892\pi\) |
−0.717368 | + | 0.696694i | \(0.754654\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.0378 | + | 13.9298i | −0.718825 | + | 0.997532i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.2194 | + | 2.65816i | 0.870595 | + | 0.189386i | 0.625605 | − | 0.780140i | \(-0.284852\pi\) |
0.244989 | + | 0.969526i | \(0.421216\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.97928 | + | 21.8516i | −0.707413 | + | 1.54902i | 0.123333 | + | 0.992365i | \(0.460642\pi\) |
−0.830746 | + | 0.556652i | \(0.812086\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.80090 | − | 26.5674i | −0.550233 | − | 1.87392i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.86101 | + | 10.7336i | 0.411362 | + | 0.753354i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.57842 | + | 8.46262i | 0.459457 | + | 0.591055i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 33.9930 | − | 12.3684i | 2.36268 | − | 0.859664i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.53956 | + | 0.221355i | 0.106493 | + | 0.0153114i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.4701 | − | 4.24882i | −0.996166 | − | 0.292501i | −0.257284 | − | 0.966336i | \(-0.582828\pi\) |
−0.738882 | + | 0.673835i | \(0.764646\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.8646 | + | 25.3912i | −0.949989 | + | 1.73977i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.766401 | + | 1.76227i | −0.0522681 | + | 0.120186i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.05090 | + | 9.42783i | −0.139224 | + | 0.640002i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.51956 | + | 0.649815i | −0.305404 | + | 0.0439104i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.93410 | + | 2.54241i | 0.197369 | + | 0.171021i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.13250 | − | 1.55158i | 0.477628 | − | 0.103902i | 0.0326947 | − | 0.999465i | \(-0.489591\pi\) |
0.444933 | + | 0.895564i | \(0.353227\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 25.7166 | + | 27.5852i | 1.71444 | + | 1.83902i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.98999 | − | 3.72607i | −0.663059 | − | 0.247308i | −0.00467325 | − | 0.999989i | \(-0.501488\pi\) |
−0.658385 | + | 0.752681i | \(0.728760\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −27.1983 | −1.79731 | −0.898657 | − | 0.438652i | \(-0.855456\pi\) | ||||
−0.898657 | + | 0.438652i | \(0.855456\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.15423 | 0.141738 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.28512 | − | 1.22529i | −0.215215 | − | 0.0802711i | 0.239544 | − | 0.970885i | \(-0.423002\pi\) |
−0.454759 | + | 0.890614i | \(0.650275\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.73091 | + | 8.60094i | 0.504309 | + | 0.561064i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 41.2610 | − | 8.97577i | 2.68019 | − | 0.583039i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.02950 | − | 2.62508i | −0.195962 | − | 0.169802i | 0.551353 | − | 0.834272i | \(-0.314112\pi\) |
−0.747315 | + | 0.664470i | \(0.768657\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.31988 | − | 0.908661i | 0.407099 | − | 0.0585320i | 0.0642764 | − | 0.997932i | \(-0.479526\pi\) |
0.342823 | + | 0.939400i | \(0.388617\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 8.03077 | − | 36.9168i | 0.515174 | − | 2.36822i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −11.4438 | + | 4.50693i | −0.731117 | + | 0.287937i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.25364 | − | 5.95860i | 0.207024 | − | 0.379137i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −39.8425 | − | 11.6988i | −2.52492 | − | 0.741382i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −15.6701 | − | 2.25302i | −0.989090 | − | 0.142210i | −0.371266 | − | 0.928526i | \(-0.621076\pi\) |
−0.617823 | + | 0.786317i | \(0.711985\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.927567 | − | 2.42714i | 0.0583156 | − | 0.152593i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.41055 | − | 7.31529i | 0.589312 | − | 0.458101i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.96586 | − | 9.09430i | −0.309762 | − | 0.567287i | 0.675701 | − | 0.737176i | \(-0.263841\pi\) |
−0.985463 | + | 0.169889i | \(0.945659\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.94085 | + | 13.4213i | 0.244872 | + | 0.833959i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 31.2919 | − | 68.5197i | 1.93692 | − | 4.24126i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −8.59573 | − | 1.86989i | −0.530035 | − | 0.115302i | −0.0604197 | − | 0.998173i | \(-0.519244\pi\) |
−0.469616 | + | 0.882871i | \(0.655608\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.04846 | + | 6.45669i | 0.0644061 | + | 0.396631i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.858086 | + | 11.9976i | 0.0525140 | + | 0.734241i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.09032 | + | 1.69657i | −0.0664778 | + | 0.103442i | −0.872901 | − | 0.487897i | \(-0.837764\pi\) |
0.806423 | + | 0.591339i | \(0.201400\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.9267 | − | 14.9182i | −0.785243 | − | 0.906218i | 0.212234 | − | 0.977219i | \(-0.431926\pi\) |
−0.997476 | + | 0.0710006i | \(0.977381\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.28598 | − | 8.81005i | 0.198876 | − | 0.533208i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.70717 | − | 0.0984661i | 0.163248 | − | 0.00593773i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.4890 | − | 11.4890i | −0.690309 | − | 0.690309i | 0.271991 | − | 0.962300i | \(-0.412318\pi\) |
−0.962300 | + | 0.271991i | \(0.912318\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 54.0575 | − | 24.6872i | 3.23634 | − | 1.47799i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.57071 | − | 1.36103i | 0.0937006 | − | 0.0811920i | −0.606751 | − | 0.794892i | \(-0.707527\pi\) |
0.700452 | + | 0.713700i | \(0.252982\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.37471 | + | 29.3040i | 0.378937 | + | 1.74194i | 0.632439 | + | 0.774610i | \(0.282054\pi\) |
−0.253502 | + | 0.967335i | \(0.581583\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.9978 | − | 13.3609i | −0.947629 | − | 0.791430i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.69925 | − | 3.51781i | −0.277388 | − | 0.207650i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.73377 | + | 12.0340i | 0.454927 | + | 0.707881i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.8317 | + | 4.94667i | 0.634966 | + | 0.289979i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 8.98986 | + | 4.90883i | 0.525193 | + | 0.286777i | 0.719892 | − | 0.694086i | \(-0.244191\pi\) |
−0.194699 | + | 0.980863i | \(0.562373\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.47390 | + | 11.3601i | 0.376925 | + | 0.661413i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.78899 | − | 6.39734i | −0.277885 | − | 0.371211i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −8.51126 | − | 7.49568i | −0.492219 | − | 0.433487i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.149775 | − | 1.04171i | 0.00863287 | − | 0.0600430i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −39.0643 | + | 21.3307i | −2.24418 | + | 1.22542i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 14.0066 | + | 7.32084i | 0.802013 | + | 0.419190i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.5478 | + | 9.90183i | −1.51516 | + | 0.565127i | −0.963211 | − | 0.268747i | \(-0.913390\pi\) |
−0.551954 | + | 0.833875i | \(0.686118\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 24.1638 | − | 15.5291i | 1.37463 | − | 0.883420i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.59238 | − | 11.0753i | −0.0902958 | − | 0.628021i | −0.983841 | − | 0.179047i | \(-0.942699\pi\) |
0.893545 | − | 0.448974i | \(-0.148210\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.93566 | − | 0.639091i | 0.505074 | − | 0.0361236i | 0.183522 | − | 0.983016i | \(-0.441250\pi\) |
0.321552 | + | 0.946892i | \(0.395796\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −17.5749 | − | 10.8485i | −0.990236 | − | 0.611242i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.60828 | + | 22.4867i | −0.0903300 | + | 1.26298i | 0.726931 | + | 0.686711i | \(0.240946\pi\) |
−0.817261 | + | 0.576268i | \(0.804509\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.24771 | − | 4.92180i | −0.125848 | − | 0.275568i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 58.5190i | 3.26621i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.33262 | + | 3.33262i | −0.185432 | + | 0.185432i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.72671 | − | 11.2216i | 0.206721 | − | 0.622460i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −14.2222 | − | 1.01720i | −0.786492 | − | 0.0562510i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.32799 | − | 3.42409i | −0.293741 | − | 0.188776i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.37112 | − | 5.04454i | 0.240259 | − | 0.277273i | −0.622796 | − | 0.782385i | \(-0.714003\pi\) |
0.863054 | + | 0.505111i | \(0.168549\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 51.6320 | − | 68.9723i | 2.82942 | − | 3.77966i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.5991 | + | 15.8514i | 0.579092 | + | 0.866057i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.0044 | − | 29.5038i | −0.599446 | − | 1.60718i | −0.781512 | − | 0.623890i | \(-0.785551\pi\) |
0.182066 | − | 0.983286i | \(-0.441722\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.275786 | + | 0.0809781i | −0.0149786 | + | 0.00439812i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.20264 | − | 4.09581i | 0.0651266 | − | 0.221801i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.2544 | − | 9.17356i | 0.661678 | − | 0.495326i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −27.6615 | + | 21.1482i | −1.48925 | + | 1.13858i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.1194 | + | 11.3183i | −0.811654 | + | 0.607596i | −0.922393 | − | 0.386253i | \(-0.873769\pi\) |
0.110739 | + | 0.993850i | \(0.464678\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.38232 | + | 11.5191i | −0.181051 | + | 0.616604i | 0.818087 | + | 0.575095i | \(0.195035\pi\) |
−0.999138 | + | 0.0415093i | \(0.986783\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −33.4678 | + | 9.82704i | −1.78638 | + | 0.524528i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.71023 | + | 17.9908i | 0.357150 | + | 0.957555i | 0.983961 | + | 0.178384i | \(0.0570870\pi\) |
−0.626811 | + | 0.779171i | \(0.715640\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.88039 | − | 19.5416i | 0.205950 | − | 1.03716i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.91185 | + | 5.22563i | −0.207037 | + | 0.276569i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 19.3209 | − | 22.2975i | 1.01972 | − | 1.17682i | 0.0355904 | − | 0.999366i | \(-0.488669\pi\) |
0.984129 | − | 0.177453i | \(-0.0567857\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.05051 | − | 5.81641i | −0.476343 | − | 0.306127i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 34.6747 | + | 2.47998i | 1.81995 | + | 0.130165i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.83611 | − | 1.35804i | 0.148449 | − | 0.0710833i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.70758 | + | 8.70758i | −0.454532 | + | 0.454532i | −0.896856 | − | 0.442324i | \(-0.854154\pi\) |
0.442324 | + | 0.896856i | \(0.354154\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 36.1562i | 1.88222i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.48814 | − | 3.25857i | −0.0772604 | − | 0.169177i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.06533 | − | 14.8952i | 0.0551607 | − | 0.771247i | −0.892314 | − | 0.451416i | \(-0.850919\pi\) |
0.947475 | − | 0.319831i | \(-0.103626\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −31.5635 | − | 17.9325i | −1.62993 | − | 0.926031i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −23.5570 | + | 1.68483i | −1.21325 | + | 0.0867732i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.09836 | + | 28.5047i | 0.210518 | + | 1.46419i | 0.771431 | + | 0.636313i | \(0.219541\pi\) |
−0.560912 | + | 0.827875i | \(0.689550\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.1526 | − | 7.16731i | 0.571363 | − | 0.367192i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 12.2195 | − | 4.55763i | 0.624387 | − | 0.232884i | −0.0173009 | − | 0.999850i | \(-0.505507\pi\) |
0.641688 | + | 0.766966i | \(0.278235\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.41562 | + | 0.443770i | −0.0721469 | + | 0.0226166i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.68935 | + | 3.10662i | −0.289206 | + | 0.157918i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.72443 | − | 25.9040i | 0.188836 | − | 1.31338i | −0.646192 | − | 0.763175i | \(-0.723639\pi\) |
0.835028 | − | 0.550208i | \(-0.185452\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.20326 | + | 6.65747i | 0.212568 | + | 0.336683i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −31.5539 | − | 42.1510i | −1.59168 | − | 2.12624i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −25.2651 | + | 14.3980i | −1.27122 | + | 0.724444i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.9279 | − | 9.78936i | −0.899774 | − | 0.491314i | −0.0383870 | − | 0.999263i | \(-0.512222\pi\) |
−0.861387 | + | 0.507949i | \(0.830404\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.3832 | + | 4.74186i | 0.519812 | + | 0.237390i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.9500 | + | 21.7066i | 0.696630 | + | 1.08398i | 0.991709 | + | 0.128504i | \(0.0410176\pi\) |
−0.295079 | + | 0.955473i | \(0.595346\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.9160 | − | 11.1660i | −0.743018 | − | 0.556216i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.05359 | + | 56.2646i | 0.251115 | + | 2.79581i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.31550 | − | 6.04727i | −0.0652071 | − | 0.299752i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.81110 | − | 6.76835i | 0.386234 | − | 0.334674i | −0.440003 | − | 0.897996i | \(-0.645023\pi\) |
0.826237 | + | 0.563323i | \(0.190477\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 40.5223 | − | 18.5059i | 1.99882 | − | 0.912829i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.06335 | − | 5.06335i | −0.249151 | − | 0.249151i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 28.5919 | − | 0.519806i | 1.40352 | − | 0.0255163i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −14.1760 | + | 38.0073i | −0.694201 | + | 1.86123i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.93799 | − | 5.69875i | −0.241237 | − | 0.278402i | 0.622201 | − | 0.782858i | \(-0.286239\pi\) |
−0.863438 | + | 0.504456i | \(0.831693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.50378 | + | 7.00802i | −0.219501 | + | 0.341550i | −0.933488 | − | 0.358609i | \(-0.883251\pi\) |
0.713987 | + | 0.700159i | \(0.246888\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.78293 | + | 38.9105i | 0.135311 | + | 1.89189i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.67707 | + | 6.74571i | −0.226871 | + | 0.327215i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.45742 | − | 1.83980i | −0.409283 | − | 0.0890341i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.72819 | + | 3.78420i | −0.0834377 | + | 0.182703i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.67342 | + | 15.9162i | 0.225111 | + | 0.766656i | 0.992150 | + | 0.125056i | \(0.0399110\pi\) |
−0.767039 | + | 0.641600i | \(0.778271\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.5904 | + | 19.3948i | 0.508940 | + | 0.932055i | 0.998203 | + | 0.0599182i | \(0.0190840\pi\) |
−0.489263 | + | 0.872136i | \(0.662734\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −9.01269 | + | 71.9457i | −0.432125 | + | 3.44953i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.81338 | − | 9.65687i | 0.469438 | − | 0.461951i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.3893 | + | 3.07532i | 1.02086 | + | 0.146777i | 0.632361 | − | 0.774674i | \(-0.282086\pi\) |
0.388495 | + | 0.921451i | \(0.372995\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −39.8071 | − | 11.6884i | −1.89558 | − | 0.556592i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.47469 | − | 4.53206i | 0.117576 | − | 0.215325i | −0.812263 | − | 0.583292i | \(-0.801764\pi\) |
0.929839 | + | 0.367967i | \(0.119946\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.03538 | − | 7.70730i | −0.143891 | − | 0.365361i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −7.48719 | + | 34.4181i | −0.354132 | + | 1.62792i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −29.4190 | + | 4.22981i | −1.38837 | + | 0.199617i | −0.795632 | − | 0.605780i | \(-0.792861\pi\) |
−0.592736 | + | 0.805397i | \(0.701952\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.96277 | + | 1.70075i | 0.0924232 | + | 0.0800851i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −16.6655 | + | 3.62535i | −0.783012 | + | 0.170334i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.344473 | + | 6.46632i | −0.0161492 | + | 0.303146i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 29.3391 | + | 10.9429i | 1.37243 | + | 0.511888i | 0.924158 | − | 0.382011i | \(-0.124769\pi\) |
0.448267 | + | 0.893899i | \(0.352041\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 24.2146 | 1.13024 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.39116 | 0.344241 | 0.172120 | − | 0.985076i | \(-0.444938\pi\) | ||||
0.172120 | + | 0.985076i | \(0.444938\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.6270 | + | 4.33663i | 0.540350 | + | 0.201540i | 0.604795 | − | 0.796381i | \(-0.293255\pi\) |
−0.0644449 | + | 0.997921i | \(0.520528\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −42.5438 | + | 38.2403i | −1.97292 | + | 1.77335i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.30979 | − | 0.937538i | 0.199433 | − | 0.0433841i | −0.111739 | − | 0.993738i | \(-0.535642\pi\) |
0.311172 | + | 0.950354i | \(0.399278\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.89216 | − | 6.83860i | −0.364426 | − | 0.315777i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 25.7868 | − | 3.70758i | 1.18819 | − | 0.170836i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0989755 | + | 0.454983i | −0.00455090 | + | 0.0209201i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.2651 | + | 5.48438i | 0.608644 | + | 0.251641i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −10.5745 | + | 19.3658i | −0.484175 | + | 0.886700i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 23.9641 | + | 7.03650i | 1.09495 | + | 0.321506i | 0.778843 | − | 0.627219i | \(-0.215807\pi\) |
0.316105 | + | 0.948724i | \(0.397625\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.7378 | − | 3.84432i | −1.21914 | − | 0.175286i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.5499 | − | 15.1730i | 0.525537 | − | 0.690397i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −8.13692 | − | 1.01932i | −0.369479 | − | 0.0462848i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.55032 | + | 15.6587i | 0.387452 | + | 0.709565i | 0.996502 | − | 0.0835664i | \(-0.0266311\pi\) |
−0.609050 | + | 0.793132i | \(0.708449\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.27913 | + | 17.9791i | 0.238731 | + | 0.813042i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.4315 | − | 35.9800i | 0.741545 | − | 1.62376i | −0.0394519 | − | 0.999221i | \(-0.512561\pi\) |
0.780997 | − | 0.624535i | \(-0.214712\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 16.0207 | + | 3.48508i | 0.721534 | + | 0.156960i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.41350 | + | 5.34219i | 0.333212 | + | 0.240114i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.778369 | + | 10.8830i | 0.0349146 | + | 0.488170i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15.4214 | + | 23.9962i | −0.690358 | + | 1.07422i | 0.302294 | + | 0.953215i | \(0.402248\pi\) |
−0.992652 | + | 0.121004i | \(0.961389\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −37.4499 | − | 43.2195i | −1.67314 | − | 1.93091i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.90792 | + | 23.8831i | −0.397185 | + | 1.06489i | 0.572365 | + | 0.819999i | \(0.306026\pi\) |
−0.969550 | + | 0.244894i | \(0.921247\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 21.2765 | − | 22.0644i | 0.946790 | − | 0.981853i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −17.0072 | − | 17.0072i | −0.755317 | − | 0.755317i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −18.4818 | + | 8.44037i | −0.819193 | + | 0.374113i | −0.780514 | − | 0.625139i | \(-0.785042\pi\) |
−0.0386794 | + | 0.999252i | \(0.512315\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.30145 | + | 1.12771i | −0.0575728 | + | 0.0498871i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.00083 | − | 41.3762i | −0.397396 | − | 1.82680i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −12.6799 | + | 15.1825i | −0.558744 | + | 0.669019i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.24319 | + | 1.67923i | 0.0986555 | + | 0.0738526i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −40.8041 | − | 63.4924i | −1.79110 | − | 2.78701i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.793528 | − | 0.362392i | −0.0347651 | − | 0.0158767i | 0.397957 | − | 0.917404i | \(-0.369719\pi\) |
−0.432722 | + | 0.901528i | \(0.642447\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.0507598 | + | 0.0277169i | 0.00221957 | + | 0.00121198i | 0.480358 | − | 0.877072i | \(-0.340507\pi\) |
−0.478139 | + | 0.878284i | \(0.658688\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 19.2663 | + | 4.90396i | 0.840851 | + | 0.214026i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.75156 | + | 10.3549i | 0.337663 | + | 0.451065i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.1221 | − | 19.5462i | −0.527047 | − | 0.849836i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.27685 | + | 43.6564i | −0.272392 | + | 1.89453i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.94940 | − | 5.43278i | 0.430956 | − | 0.235320i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.0549 | − | 38.4550i | −0.521177 | − | 1.66255i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.6316 | + | 5.83027i | −0.674551 | + | 0.251595i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.50700 | + | 1.61115i | −0.107984 | + | 0.0693972i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.48632 | − | 10.3376i | −0.0639020 | − | 0.444448i | −0.996504 | − | 0.0835421i | \(-0.973377\pi\) |
0.932602 | − | 0.360906i | \(-0.117532\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 55.7817 | − | 3.98958i | 2.39382 | − | 0.171209i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 9.55550 | − | 2.26134i | 0.409313 | − | 0.0968650i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.939925 | − | 13.1419i | 0.0401883 | − | 0.561906i | −0.936972 | − | 0.349404i | \(-0.886384\pi\) |
0.977161 | − | 0.212502i | \(-0.0681612\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 22.1462 | + | 48.4933i | 0.945175 | + | 2.06964i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 28.6703i | − | 1.22140i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.2609 | − | 11.2609i | 0.478864 | − | 0.478864i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −27.5649 | + | 78.2180i | −1.17006 | + | 3.32017i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 12.6019 | + | 0.901309i | 0.533961 | + | 0.0381897i | 0.335717 | − | 0.941963i | \(-0.391021\pi\) |
0.198245 | + | 0.980153i | \(0.436476\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.70975 | + | 1.09879i | 0.0723146 | + | 0.0464738i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.89126 | − | 2.18263i | 0.0798489 | − | 0.0921505i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −11.5652 | + | 15.4493i | −0.487414 | + | 0.651109i | −0.975062 | − | 0.221931i | \(-0.928764\pi\) |
0.487648 | + | 0.873040i | \(0.337855\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.164548 | − | 0.110025i | 0.00692257 | − | 0.00462880i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −10.8114 | − | 28.9865i | −0.454037 | − | 1.21732i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −42.3196 | + | 12.4262i | −1.77413 | + | 0.520932i | −0.994447 | − | 0.105241i | \(-0.966439\pi\) |
−0.779684 | + | 0.626173i | \(0.784620\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.33058 | + | 24.9657i | −0.306775 | + | 1.04478i | 0.651432 | + | 0.758707i | \(0.274168\pi\) |
−0.958208 | + | 0.286074i | \(0.907650\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 25.9176 | − | 19.4017i | 1.08272 | − | 0.810517i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 13.8209 | − | 19.5955i | 0.576371 | − | 0.817188i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.6948 | − | 13.9948i | 0.778277 | − | 0.582611i | −0.134574 | − | 0.990904i | \(-0.542967\pi\) |
0.912851 | + | 0.408293i | \(0.133876\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 16.3619 | − | 55.7234i | 0.679976 | − | 2.31578i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.0265 | + | 4.41217i | −0.623403 | + | 0.183048i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.553874 | + | 1.48499i | 0.0229391 | + | 0.0615022i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 33.1560 | − | 22.1699i | 1.37083 | − | 0.916611i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.38650 | − | 4.52383i | 0.139776 | − | 0.186718i | −0.725191 | − | 0.688548i | \(-0.758249\pi\) |
0.864967 | + | 0.501829i | \(0.167339\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.8123 | − | 17.0943i | 0.610329 | − | 0.704358i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −34.1579 | − | 21.9519i | −1.40507 | − | 0.902982i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −24.5464 | − | 1.75559i | −1.00800 | − | 0.0720936i | −0.442438 | − | 0.896799i | \(-0.645886\pi\) |
−0.565562 | + | 0.824706i | \(0.691341\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.49415 | − | 4.23979i | 0.0612541 | − | 0.173814i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 55.1540 | − | 55.1540i | 2.25730 | − | 2.25730i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 10.9263i | − | 0.446435i | −0.974769 | − | 0.223217i | \(-0.928344\pi\) | ||
0.974769 | − | 0.223217i | \(-0.0716560\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.96303 | − | 21.8160i | −0.406401 | − | 0.889893i | −0.996581 | − | 0.0826218i | \(-0.973671\pi\) |
0.590180 | − | 0.807271i | \(-0.299057\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.58864 | + | 64.1576i | −0.186864 | + | 2.61270i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −23.2969 | + | 5.51328i | −0.947154 | + | 0.224147i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.84185 | + | 0.274774i | −0.155936 | + | 0.0111527i | −0.149089 | − | 0.988824i | \(-0.547634\pi\) |
−0.00684697 | + | 0.999977i | \(0.502179\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.65115 | − | 39.3046i | −0.228996 | − | 1.59270i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.2892 | − | 6.61244i | 0.416255 | − | 0.267511i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.3110 | + | 7.94860i | −0.860744 | + | 0.321041i | −0.740789 | − | 0.671738i | \(-0.765548\pi\) |
−0.119956 | + | 0.992779i | \(0.538275\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.4106 | − | 33.2097i | −0.419795 | − | 1.33914i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.1469 | − | 15.3694i | 1.13315 | − | 0.618748i | 0.200561 | − | 0.979681i | \(-0.435723\pi\) |
0.932592 | + | 0.360933i | \(0.117542\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.67746 | + | 18.6222i | −0.107616 | + | 0.748488i | 0.862537 | + | 0.505995i | \(0.168874\pi\) |
−0.970153 | + | 0.242494i | \(0.922035\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −70.7349 | − | 0.568617i | −2.83849 | − | 0.0228178i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.71857 | + | 3.63159i | 0.108917 | + | 0.145497i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.4356 | + | 5.28206i | 0.977425 | + | 0.211282i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.43250 | − | 2.42033i | −0.177017 | − | 0.0966587i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 17.0580 | + | 7.79012i | 0.680146 | + | 0.310612i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.4483 | + | 17.8138i | 0.455748 | + | 0.709158i | 0.990751 | − | 0.135692i | \(-0.0433258\pi\) |
−0.535003 | + | 0.844850i | \(0.679689\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 39.2003 | + | 29.3450i | 1.55807 | + | 1.16636i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.85229 | + | 7.00732i | −0.232241 | + | 0.278077i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.76497 | + | 12.7103i | 0.109552 | + | 0.503602i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 50.7895 | − | 44.0093i | 2.00920 | − | 1.74098i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 30.7323 | − | 14.0350i | 1.21385 | − | 0.554349i | 0.297502 | − | 0.954721i | \(-0.403846\pi\) |
0.916353 | + | 0.400372i | \(0.131119\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.6936 | − | 13.6936i | −0.540022 | − | 0.540022i | 0.383513 | − | 0.923535i | \(-0.374714\pi\) |
−0.923535 | + | 0.383513i | \(0.874714\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.33120 | − | 4.49160i | 0.170541 | − | 0.176856i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.667376 | + | 1.78930i | −0.0262372 | + | 0.0703448i | −0.949408 | − | 0.314045i | \(-0.898316\pi\) |
0.923171 | + | 0.384390i | \(0.125588\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.07467 | + | 2.39429i | 0.0814378 | + | 0.0939843i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.9370 | − | 26.3544i | 0.663812 | − | 1.03291i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.64960 | + | 37.0463i | 0.103687 | + | 1.44973i | 0.737029 | + | 0.675861i | \(0.236228\pi\) |
−0.633342 | + | 0.773872i | \(0.718317\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 29.4183 | + | 21.1989i | 1.14947 | + | 0.828310i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 10.3645 | + | 2.25466i | 0.404358 | + | 0.0879626i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.91386 | − | 15.1392i | 0.269326 | − | 0.589741i | −0.725850 | − | 0.687854i | \(-0.758553\pi\) |
0.995175 | + | 0.0981122i | \(0.0312804\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.11639 | − | 10.6134i | −0.121213 | − | 0.412815i | 0.876422 | − | 0.481544i | \(-0.159924\pi\) |
−0.997635 | + | 0.0687289i | \(0.978106\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6.04133 | − | 11.0639i | −0.234626 | − | 0.429685i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −7.80002 | − | 0.977114i | −0.302472 | − | 0.0378909i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −46.7171 | − | 10.5567i | −1.80889 | − | 0.408757i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −23.4592 | − | 3.37293i | −0.906987 | − | 0.130405i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.67423 | + | 1.07885i | 0.141842 | + | 0.0416486i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.08676 | − | 5.65298i | 0.118986 | − | 0.217906i | −0.811397 | − | 0.584495i | \(-0.801293\pi\) |
0.930383 | + | 0.366589i | \(0.119474\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −28.2671 | − | 68.1163i | −1.08800 | − | 2.62180i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1.46221 | − | 6.72166i | 0.0561972 | − | 0.258334i | −0.940473 | − | 0.339867i | \(-0.889618\pi\) |
0.996671 | + | 0.0815328i | \(0.0259815\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.44527 | − | 0.639134i | 0.170594 | − | 0.0245277i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 26.1638 | + | 22.6711i | 1.00260 | + | 0.868758i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.9805 | + | 3.91141i | −0.688004 | + | 0.149666i | −0.542959 | − | 0.839759i | \(-0.682696\pi\) |
−0.145044 | + | 0.989425i | \(0.546333\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.8165 | + | 20.5085i | −0.871772 | + | 0.783588i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 82.7433 | + | 30.8617i | 3.15685 | + | 1.17745i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.91797 | 0.263553 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.8651 | 1.02200 | 0.510998 | − | 0.859582i | \(-0.329276\pi\) | ||||
0.510998 | + | 0.859582i | \(0.329276\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.68875 | − | 1.74881i | −0.178111 | − | 0.0664320i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.48609 | − | 27.8962i | 0.0563705 | − | 1.05816i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.68977 | + | 1.67281i | −0.291271 | + | 0.0633621i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.60374 | + | 7.45519i | 0.325423 | + | 0.281981i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −33.8366 | + | 4.86497i | −1.27799 | + | 0.183747i | −0.747682 | − | 0.664057i | \(-0.768833\pi\) |
−0.530309 | + | 0.847804i | \(0.677924\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.97054 | − | 32.0431i | 0.262899 | − | 1.20853i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −13.7598 | − | 34.9382i | −0.518222 | − | 1.31585i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.04481 | + | 14.7330i | −0.302556 | + | 0.554091i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.40893 | + | 2.76271i | 0.353360 | + | 0.103756i | 0.453595 | − | 0.891208i | \(-0.350141\pi\) |
−0.100235 | + | 0.994964i | \(0.531960\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −97.0924 | − | 13.9598i | −3.64125 | − | 0.523533i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −22.4004 | − | 30.4303i | −0.838901 | − | 1.13962i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.356112 | − | 2.84274i | 0.0133179 | − | 0.106313i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.23777 | + | 11.4236i | 0.232954 | + | 0.426623i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.28046 | − | 17.9836i | −0.196928 | − | 0.670676i | −0.997450 | − | 0.0713717i | \(-0.977262\pi\) |
0.800522 | − | 0.599304i | \(-0.204556\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.50018 | − | 9.85403i | 0.167596 | − | 0.366983i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.2575 | − | 4.40676i | −0.753386 | − | 0.163889i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.89819 | − | 49.1348i | −0.330471 | − | 1.82482i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.32392 | + | 32.4927i | 0.0861896 | + | 1.20509i | 0.837986 | + | 0.545692i | \(0.183733\pi\) |
−0.751796 | + | 0.659396i | \(0.770812\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −25.3450 | + | 39.4376i | −0.938705 | + | 1.46065i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.923946 | − | 1.06629i | −0.0341734 | − | 0.0394382i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.83359 | − | 15.6405i | 0.215469 | − | 0.577694i | −0.783581 | − | 0.621290i | \(-0.786609\pi\) |
0.999049 | + | 0.0435964i | \(0.0138816\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 39.9286 | − | 0.725908i | 1.47279 | − | 0.0267755i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.26700 | + | 3.26700i | 0.120342 | + | 0.120342i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.1689 | − | 8.29744i | 0.668352 | − | 0.305226i | −0.0521901 | − | 0.998637i | \(-0.516620\pi\) |
0.720542 | + | 0.693411i | \(0.243893\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −16.6595 | + | 14.4355i | −0.612001 | + | 0.530302i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.93767 | − | 18.1012i | −0.144459 | − | 0.664067i | −0.991234 | − | 0.132116i | \(-0.957823\pi\) |
0.846775 | − | 0.531951i | \(-0.178541\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.16999 | − | 24.1597i | −0.0795022 | − | 0.885144i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 77.2213 | + | 57.8072i | 2.82538 | + | 2.11505i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.9321 | + | 18.5667i | 0.435989 | + | 0.678412i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.21595 | − | 0.555304i | −0.0443705 | − | 0.0202633i | 0.393106 | − | 0.919493i | \(-0.371400\pi\) |
−0.437477 | + | 0.899230i | \(0.644128\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 45.1155 | + | 24.6349i | 1.64410 | + | 0.897747i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.2047 | − | 5.81542i | 0.371386 | − | 0.211645i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.0478 | + | 14.7581i | 0.401539 | + | 0.536394i | 0.955049 | − | 0.296449i | \(-0.0958026\pi\) |
−0.553509 | + | 0.832843i | \(0.686712\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.57592 | + | 6.33139i | −0.202393 | + | 0.229815i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.92035 | + | 20.3115i | −0.105862 | + | 0.736290i | 0.865881 | + | 0.500250i | \(0.166759\pi\) |
−0.971743 | + | 0.236040i | \(0.924151\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.71979 | + | 2.57720i | −0.170868 | + | 0.0933009i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −26.4210 | + | 8.28245i | −0.955252 | + | 0.299452i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 12.9564 | − | 4.83250i | 0.467830 | − | 0.174492i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.24625 | − | 5.29955i | 0.297368 | − | 0.191106i | −0.383446 | − | 0.923563i | \(-0.625263\pi\) |
0.680814 | + | 0.732457i | \(0.261626\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.78805 | + | 33.3016i | 0.172437 | + | 1.19933i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 19.1342 | − | 1.36850i | 0.688209 | − | 0.0492217i | 0.277145 | − | 0.960828i | \(-0.410612\pi\) |
0.411064 | + | 0.911606i | \(0.365157\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 20.0796 | − | 33.8931i | 0.721281 | − | 1.21748i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.24008 | − | 45.3022i | 0.116237 | − | 1.62521i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.71673 | + | 12.5179i | 0.204823 | + | 0.448500i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 4.82730i | − | 0.172734i | ||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −104.159 | + | 104.159i | −3.72232 | + | 3.72232i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −16.1817 | + | 7.74844i | −0.577548 | + | 0.276554i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −39.5768 | − | 2.83059i | −1.41076 | − | 0.100900i | −0.654942 | − | 0.755680i | \(-0.727307\pi\) |
−0.755820 | + | 0.654780i | \(0.772761\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 24.0284 | + | 15.4421i | 0.855433 | + | 0.549754i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.0709888 | + | 0.0819254i | −0.00252407 | + | 0.00291293i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.0167 | − | 13.3807i | 0.355702 | − | 0.475162i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.13671 | − | 20.8324i | 0.146714 | − | 0.738848i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.1364 | + | 48.6257i | 0.642426 | + | 1.72241i | 0.690267 | + | 0.723555i | \(0.257493\pi\) |
−0.0478411 | + | 0.998855i | \(0.515234\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.14680 | + | 2.39212i | −0.288213 | + | 0.0846270i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.87206 | − | 26.8098i | 0.278146 | − | 0.947277i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.609931 | − | 0.456588i | 0.0215240 | − | 0.0161127i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.46421 | + | 12.3500i | −0.157343 | + | 0.435281i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.24207 | − | 3.92416i | 0.184530 | − | 0.138137i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −9.95761 | + | 33.9125i | −0.350091 | + | 1.19230i | 0.576773 | + | 0.816904i | \(0.304312\pi\) |
−0.926864 | + | 0.375396i | \(0.877507\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 34.1108 | − | 10.0158i | 1.19779 | − | 0.351703i | 0.378783 | − | 0.925485i | \(-0.376343\pi\) |
0.819008 | + | 0.573782i | \(0.194524\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 22.3984 | + | 60.0524i | 0.785546 | + | 2.10613i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.17279 | − | 10.7272i | −0.251252 | − | 0.375758i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.47856 | + | 1.97512i | −0.0517281 | + | 0.0691007i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −14.3041 | + | 16.5078i | −0.499825 | + | 0.576829i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 40.7858 | + | 26.2115i | 1.42344 | + | 0.914786i | 0.999961 | + | 0.00887811i | \(0.00282603\pi\) |
0.423474 | + | 0.905908i | \(0.360810\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.6464 | + | 0.976007i | 0.475682 | + | 0.0340215i | 0.307123 | − | 0.951670i | \(-0.400634\pi\) |
0.168560 | + | 0.985691i | \(0.446088\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −8.34753 | − | 2.77224i | −0.290624 | − | 0.0965170i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 22.5217 | − | 22.5217i | 0.783157 | − | 0.783157i | −0.197205 | − | 0.980362i | \(-0.563187\pi\) |
0.980362 | + | 0.197205i | \(0.0631866\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.4688i | 0.745641i | 0.927903 | + | 0.372821i | \(0.121609\pi\) | ||||
−0.927903 | + | 0.372821i | \(0.878391\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 21.9157 | + | 47.9887i | 0.760248 | + | 1.66471i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.644196 | − | 9.00704i | 0.0223201 | − | 0.312075i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 33.5129 | + | 20.6865i | 1.15976 | + | 0.715885i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −115.916 | + | 8.29045i | −4.00663 | + | 0.286560i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.166345 | + | 1.15696i | 0.00574287 | + | 0.0399425i | 0.992491 | − | 0.122315i | \(-0.0390317\pi\) |
−0.986749 | + | 0.162257i | \(0.948123\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −59.5070 | + | 38.2428i | −2.05197 | + | 1.31872i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.32279 | + | 2.35828i | −0.217768 | + | 0.0812234i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.6795 | + | 7.67259i | 0.504991 | + | 0.263945i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.5071 | − | 6.28337i | 0.395390 | − | 0.215899i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 13.8578 | − | 96.3828i | 0.475597 | − | 3.30785i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −49.6462 | − | 23.1567i | −1.70185 | − | 0.793803i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.5486 | − | 27.4497i | −0.703570 | − | 0.939860i | 0.296314 | − | 0.955091i | \(-0.404243\pi\) |
−0.999884 | + | 0.0152310i | \(0.995152\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 23.9734 | + | 42.0675i | 0.819872 | + | 1.43868i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 37.2527 | + | 20.3415i | 1.27253 | + | 0.694853i | 0.966377 | − | 0.257130i | \(-0.0827768\pi\) |
0.306151 | + | 0.951983i | \(0.400959\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.268623 | − | 0.122676i | −0.00916530 | − | 0.00418565i | 0.410827 | − | 0.911713i | \(-0.365240\pi\) |
−0.419992 | + | 0.907528i | \(0.637967\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 10.3045 | + | 16.0342i | 0.351177 | + | 0.546443i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −27.3931 | − | 20.5062i | −0.932472 | − | 0.698040i | 0.0209179 | − | 0.999781i | \(-0.493341\pi\) |
−0.953390 | + | 0.301742i | \(0.902432\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 39.8933 | + | 33.3176i | 1.35641 | + | 1.13283i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.87300 | − | 45.3855i | −0.335305 | − | 1.54137i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.32494 | + | 4.61409i | −0.180636 | + | 0.156522i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 18.3443 | − | 8.37754i | 0.621572 | − | 0.283862i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −19.5598 | − | 19.5598i | −0.662000 | − | 0.662000i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −13.6708 | + | 0.746271i | −0.462158 | + | 0.0252286i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.93016 | − | 10.5372i | 0.132712 | − | 0.355815i | −0.853548 | − | 0.521014i | \(-0.825554\pi\) |
0.986260 | + | 0.165199i | \(0.0528267\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −21.7791 | − | 25.1345i | −0.734592 | − | 0.847765i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.12517 | − | 3.30683i | 0.0715989 | − | 0.111410i | −0.803608 | − | 0.595159i | \(-0.797089\pi\) |
0.875207 | + | 0.483749i | \(0.160725\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.0374756 | + | 0.523977i | 0.00126115 | + | 0.0176332i | 0.998044 | − | 0.0625198i | \(-0.0199137\pi\) |
−0.996783 | + | 0.0801530i | \(0.974459\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.80481 | − | 41.9060i | −0.228741 | − | 1.40865i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −19.4953 | − | 4.24094i | −0.654587 | − | 0.142397i | −0.127007 | − | 0.991902i | \(-0.540537\pi\) |
−0.527580 | + | 0.849505i | \(0.676901\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.07702 | − | 4.54803i | 0.0696609 | − | 0.152536i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.85624 | + | 13.1331i | 0.129189 | + | 0.439977i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.11572 | + | 13.0315i | 0.238118 | + | 0.436081i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.07103 | − | 7.05137i | 0.303211 | − | 0.235701i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 17.3879 | + | 32.4612i | 0.580564 | + | 1.08385i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −77.8842 | − | 11.1981i | −2.59758 | − | 0.373476i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.60800 | − | 1.35303i | −0.153515 | − | 0.0450760i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.63766 | + | 2.99916i | −0.0544980 | + | 0.0998056i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −35.8343 | + | 14.1127i | −1.19117 | + | 0.469121i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.32730 | − | 33.6831i | 0.243299 | − | 1.11843i | −0.679659 | − | 0.733528i | \(-0.737872\pi\) |
0.922958 | − | 0.384900i | \(-0.125764\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 102.341 | − | 14.7144i | 3.39444 | − | 0.488047i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.7709 | − | 10.1995i | −0.389986 | − | 0.337925i | 0.437695 | − | 0.899124i | \(-0.355795\pi\) |
−0.827681 | + | 0.561198i | \(0.810340\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.77052 | − | 1.47284i | 0.224071 | − | 0.0487437i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −34.3042 | − | 38.1648i | −1.13406 | − | 1.26169i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −18.6059 | − | 6.93965i | −0.614422 | − | 0.229168i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.3932 | −0.738683 | −0.369342 | − | 0.929294i | \(-0.620417\pi\) | ||||
−0.369342 | + | 0.929294i | \(0.620417\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 91.9999 | 3.03150 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −19.7420 | − | 7.36337i | −0.649815 | − | 0.242368i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00104 | − | 57.0783i | 0.0657938 | − | 1.87672i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −65.1998 | + | 14.1834i | −2.14144 | + | 0.465842i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.42400 | − | 2.10041i | −0.0795289 | − | 0.0689122i | 0.614189 | − | 0.789159i | \(-0.289483\pi\) |
−0.693718 | + | 0.720247i | \(0.744029\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.6300 | + | 2.24726i | −0.512253 | + | 0.0736508i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −7.72262 | + | 35.5003i | −0.252827 | + | 1.16223i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.793194 | + | 1.82388i | −0.0259402 | + | 0.0596473i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 19.1562 | − | 35.0820i | 0.625806 | − | 1.14608i | −0.351887 | − | 0.936042i | \(-0.614460\pi\) |
0.977694 | − | 0.210036i | \(-0.0673582\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −27.9095 | − | 8.19496i | −0.910791 | − | 0.267432i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.742500 | + | 0.106755i | 0.0242048 | + | 0.00348013i | 0.154407 | − | 0.988007i | \(-0.450653\pi\) |
−0.130202 | + | 0.991488i | \(0.541563\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.5023 | − | 4.70596i | 0.732777 | − | 0.153247i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 24.7874 | + | 31.8871i | 0.806335 | + | 1.03729i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.2393 | − | 48.0537i | −0.852662 | − | 1.56153i | −0.827234 | − | 0.561858i | \(-0.810087\pi\) |
−0.0254281 | − | 0.999677i | \(-0.508095\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.936923 | − | 3.19087i | −0.0304138 | − | 0.103580i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 30.4082 | − | 66.5846i | 0.986053 | − | 2.15915i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.7535 | + | 8.86538i | 1.32014 | + | 0.287178i | 0.816804 | − | 0.576916i | \(-0.195744\pi\) |
0.503331 | + | 0.864093i | \(0.332107\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.0347 | + | 18.0886i | −0.421792 | + | 0.585332i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.25332 | + | 17.5237i | 0.0405140 | + | 0.566460i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 9.08338 | − | 14.1340i | 0.293318 | − | 0.456411i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.3513 | − | 23.4866i | −0.656493 | − | 0.757634i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 47.5060 | − | 127.368i | 1.53086 | − | 4.10439i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.726996 | + | 39.9884i | 0.0234028 | + | 1.28727i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.7040 | − | 39.7040i | −1.27679 | − | 1.27679i | −0.942452 | − | 0.334342i | \(-0.891486\pi\) |
−0.334342 | − | 0.942452i | \(-0.608514\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 13.9201 | − | 6.35709i | 0.447177 | − | 0.204219i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −3.35197 | + | 2.90449i | −0.107570 | + | 0.0932097i | −0.706985 | − | 0.707228i | \(-0.749945\pi\) |
0.599415 | + | 0.800438i | \(0.295400\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.25202 | + | 14.9493i | 0.104255 | + | 0.479253i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −24.0705 | + | 29.9098i | −0.770873 | + | 0.957881i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 32.3696 | + | 24.2316i | 1.03560 | + | 0.775237i | 0.974838 | − | 0.222915i | \(-0.0715574\pi\) |
0.0607578 | + | 0.998153i | \(0.480648\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.08510 | − | 1.68844i | −0.0346799 | − | 0.0539629i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.1294 | + | 13.7596i | 0.961959 | + | 0.439312i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −17.7837 | − | 9.71066i | −0.567213 | − | 0.309722i | 0.169932 | − | 0.985456i | \(-0.445645\pi\) |
−0.737146 | + | 0.675734i | \(0.763827\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 26.9685 | + | 7.38892i | 0.859287 | + | 0.235431i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.3236 | + | 16.4625i | 0.392266 | + | 0.524006i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.67396 | + | 3.13650i | 0.0850268 | + | 0.0997350i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.14927 | + | 28.8588i | −0.131806 | + | 0.916731i | 0.811393 | + | 0.584502i | \(0.198710\pi\) |
−0.943199 | + | 0.332230i | \(0.892199\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −19.0219 | + | 10.3868i | −0.603643 | + | 0.329614i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −24.8820 | + | 47.6054i | −0.788813 | + | 1.50919i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.4698 | − | 5.39694i | 0.458262 | − | 0.170923i | −0.109722 | − | 0.993962i | \(-0.534996\pi\) |
0.567984 | + | 0.823039i | \(0.307723\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −141.735 | + | 91.0877i | −4.48431 | + | 2.88189i |
(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 | 460.2.x.a.337.1 | yes | 240 | |
5.3 | odd | 4 | inner | 460.2.x.a.153.12 | ✓ | 240 | |
23.20 | odd | 22 | inner | 460.2.x.a.457.12 | yes | 240 | |
115.43 | even | 44 | inner | 460.2.x.a.273.1 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.x.a.153.12 | ✓ | 240 | 5.3 | odd | 4 | inner | |
460.2.x.a.273.1 | yes | 240 | 115.43 | even | 44 | inner | |
460.2.x.a.337.1 | yes | 240 | 1.1 | even | 1 | trivial | |
460.2.x.a.457.12 | yes | 240 | 23.20 | odd | 22 | inner |