Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(269,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.ch (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.12 | ||
Character | \(\chi\) | \(=\) | 504.269 |
Dual form | 504.2.ch.b.341.12 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.202765 | − | 1.39960i | −0.143377 | − | 0.989668i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.91777 | + | 0.567582i | −0.958886 | + | 0.283791i | ||||
\(5\) | 3.18706 | − | 1.84005i | 1.42530 | − | 0.822896i | 0.428553 | − | 0.903517i | \(-0.359024\pi\) |
0.996745 | + | 0.0806207i | \(0.0256903\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.998380 | − | 2.45015i | −0.377352 | − | 0.926070i | ||||
\(8\) | 1.18325 | + | 2.56903i | 0.418341 | + | 0.908290i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.22157 | − | 4.08752i | −1.01875 | − | 1.29259i | ||||
\(11\) | 0.568599 | − | 0.984843i | 0.171439 | − | 0.296941i | −0.767484 | − | 0.641068i | \(-0.778492\pi\) |
0.938923 | + | 0.344127i | \(0.111825\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.62005 | 1.00402 | 0.502011 | − | 0.864861i | \(-0.332594\pi\) | ||||
0.502011 | + | 0.864861i | \(0.332594\pi\) | |||||||
\(14\) | −3.22680 | + | 1.89414i | −0.862398 | + | 0.506230i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.35570 | − | 2.17699i | 0.838925 | − | 0.544246i | ||||
\(17\) | −2.84947 | + | 4.93542i | −0.691097 | + | 1.19702i | 0.280381 | + | 0.959889i | \(0.409539\pi\) |
−0.971479 | + | 0.237127i | \(0.923794\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.63386 | − | 4.56198i | −0.604250 | − | 1.04659i | −0.992170 | − | 0.124898i | \(-0.960140\pi\) |
0.387920 | − | 0.921693i | \(-0.373194\pi\) | |||||||
\(20\) | −5.06768 | + | 5.33772i | −1.13317 | + | 1.19355i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.49368 | − | 0.596121i | −0.318454 | − | 0.127093i | ||||
\(23\) | 3.19122 | − | 1.84245i | 0.665416 | − | 0.384178i | −0.128922 | − | 0.991655i | \(-0.541152\pi\) |
0.794337 | + | 0.607477i | \(0.207818\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.27158 | − | 7.39859i | 0.854316 | − | 1.47972i | ||||
\(26\) | −0.734022 | − | 5.06664i | −0.143954 | − | 0.993649i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.30533 | + | 4.13217i | 0.624648 | + | 0.780906i | ||||
\(29\) | 1.82838 | 0.339522 | 0.169761 | − | 0.985485i | \(-0.445700\pi\) | ||||
0.169761 | + | 0.985485i | \(0.445700\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.52097 | − | 3.18753i | −0.991595 | − | 0.572498i | −0.0858442 | − | 0.996309i | \(-0.527359\pi\) |
−0.905751 | + | 0.423811i | \(0.860692\pi\) | |||||||
\(32\) | −3.72733 | − | 4.25523i | −0.658906 | − | 0.752225i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.48540 | + | 2.98739i | 1.28374 | + | 0.512333i | ||||
\(35\) | −7.69030 | − | 5.97171i | −1.29990 | − | 1.00940i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.63700 | + | 4.98657i | −1.41991 | + | 0.819788i | −0.996291 | − | 0.0860510i | \(-0.972575\pi\) |
−0.423623 | + | 0.905839i | \(0.639242\pi\) | |||||||
\(38\) | −5.85091 | + | 4.61137i | −0.949142 | + | 0.748063i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.49823 | + | 6.01043i | 1.34369 | + | 0.950333i | ||||
\(41\) | 3.46900 | 0.541767 | 0.270884 | − | 0.962612i | \(-0.412684\pi\) | ||||
0.270884 | + | 0.962612i | \(0.412684\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 7.00429i | − | 1.06814i | −0.845439 | − | 0.534072i | \(-0.820661\pi\) | ||
0.845439 | − | 0.534072i | \(-0.179339\pi\) | |||||||
\(44\) | −0.531465 | + | 2.21143i | −0.0801214 | + | 0.333386i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.22577 | − | 4.09286i | −0.475614 | − | 0.603459i | ||||
\(47\) | 3.98886 | + | 6.90891i | 0.581835 | + | 1.00777i | 0.995262 | + | 0.0972305i | \(0.0309984\pi\) |
−0.413427 | + | 0.910537i | \(0.635668\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00648 | + | 4.89236i | −0.715211 | + | 0.698909i | ||||
\(50\) | −11.2212 | − | 4.47833i | −1.58692 | − | 0.633332i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.94244 | + | 2.05468i | −0.962743 | + | 0.284933i | ||||
\(53\) | 2.84057 | − | 4.92001i | 0.390182 | − | 0.675815i | −0.602291 | − | 0.798276i | \(-0.705745\pi\) |
0.992473 | + | 0.122461i | \(0.0390787\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 4.18501i | − | 0.564306i | ||||||
\(56\) | 5.11319 | − | 5.46400i | 0.683278 | − | 0.730158i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.370733 | − | 2.55901i | −0.0486796 | − | 0.336014i | ||||
\(59\) | −0.813177 | − | 0.469488i | −0.105867 | − | 0.0611221i | 0.446132 | − | 0.894967i | \(-0.352801\pi\) |
−0.551998 | + | 0.833845i | \(0.686135\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.98482 | − | 3.43782i | −0.254131 | − | 0.440167i | 0.710528 | − | 0.703669i | \(-0.248456\pi\) |
−0.964659 | + | 0.263501i | \(0.915123\pi\) | |||||||
\(62\) | −3.34181 | + | 8.37348i | −0.424411 | + | 1.06343i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.19985 | + | 6.07960i | −0.649982 | + | 0.759950i | ||||
\(65\) | 11.5373 | − | 6.66109i | 1.43103 | − | 0.826206i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.18293 | + | 1.26031i | 0.266687 | + | 0.153972i | 0.627381 | − | 0.778712i | \(-0.284127\pi\) |
−0.360694 | + | 0.932684i | \(0.617460\pi\) | |||||||
\(68\) | 2.66337 | − | 11.0823i | 0.322981 | − | 1.34393i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.79869 | + | 11.9742i | −0.812599 | + | 1.43119i | ||||
\(71\) | 14.0093i | 1.66260i | 0.555821 | + | 0.831302i | \(0.312404\pi\) | ||||
−0.555821 | + | 0.831302i | \(0.687596\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.72069 | + | 3.88019i | 0.786597 | + | 0.454142i | 0.838763 | − | 0.544496i | \(-0.183279\pi\) |
−0.0521661 | + | 0.998638i | \(0.516613\pi\) | |||||||
\(74\) | 8.73050 | + | 11.0773i | 1.01490 | + | 1.28770i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.64045 | + | 7.25391i | 0.876420 | + | 0.832081i | ||||
\(77\) | −2.98069 | − | 0.409906i | −0.339681 | − | 0.0467132i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.68289 | + | 13.3072i | 0.864393 | + | 1.49717i | 0.867649 | + | 0.497177i | \(0.165630\pi\) |
−0.00325650 | + | 0.999995i | \(0.501037\pi\) | |||||||
\(80\) | 6.68906 | − | 13.1129i | 0.747860 | − | 1.46606i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.703394 | − | 4.85523i | −0.0776769 | − | 0.536170i | ||||
\(83\) | 2.89078i | 0.317304i | 0.987335 | + | 0.158652i | \(0.0507148\pi\) | ||||
−0.987335 | + | 0.158652i | \(0.949285\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 20.9727i | 2.27480i | ||||||||
\(86\) | −9.80322 | + | 1.42023i | −1.05711 | + | 0.153147i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.20289 | + | 0.295438i | 0.341429 | + | 0.0314938i | ||||
\(89\) | −1.04281 | − | 1.80621i | −0.110538 | − | 0.191458i | 0.805449 | − | 0.592665i | \(-0.201924\pi\) |
−0.915987 | + | 0.401207i | \(0.868591\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.61419 | − | 8.86968i | −0.378870 | − | 0.929795i | ||||
\(92\) | −5.07429 | + | 5.34469i | −0.529032 | + | 0.557222i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.86092 | − | 6.98371i | 0.913934 | − | 0.720314i | ||||
\(95\) | −16.7886 | − | 9.69289i | −1.72247 | − | 0.994469i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.3900i | − | 1.05494i | −0.849573 | − | 0.527471i | \(-0.823140\pi\) | ||
0.849573 | − | 0.527471i | \(-0.176860\pi\) | |||||||
\(98\) | 7.86250 | + | 6.01507i | 0.794233 | + | 0.607614i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.99261 | + | 16.6133i | −0.399261 | + | 1.66133i | ||||
\(101\) | 17.0193 | + | 9.82609i | 1.69348 | + | 0.977732i | 0.951669 | + | 0.307126i | \(0.0993674\pi\) |
0.741813 | + | 0.670606i | \(0.233966\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.80827 | − | 4.50811i | 0.769372 | − | 0.444197i | −0.0632787 | − | 0.997996i | \(-0.520156\pi\) |
0.832650 | + | 0.553799i | \(0.186822\pi\) | |||||||
\(104\) | 4.28342 | + | 9.30004i | 0.420024 | + | 0.911944i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.46202 | − | 2.97806i | −0.724776 | − | 0.289255i | ||||
\(107\) | 3.22682 | + | 5.58902i | 0.311949 | + | 0.540311i | 0.978784 | − | 0.204894i | \(-0.0656850\pi\) |
−0.666836 | + | 0.745205i | \(0.732352\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.00494 | + | 3.46695i | 0.575169 | + | 0.332074i | 0.759211 | − | 0.650844i | \(-0.225585\pi\) |
−0.184042 | + | 0.982918i | \(0.558918\pi\) | |||||||
\(110\) | −5.85735 | + | 0.848575i | −0.558476 | + | 0.0809084i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.68421 | − | 6.04851i | −0.820581 | − | 0.571531i | ||||
\(113\) | − | 17.9073i | − | 1.68458i | −0.539028 | − | 0.842288i | \(-0.681208\pi\) | ||
0.539028 | − | 0.842288i | \(-0.318792\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.78042 | − | 11.7440i | 0.632277 | − | 1.09514i | ||||
\(116\) | −3.50642 | + | 1.03776i | −0.325563 | + | 0.0963532i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.492212 | + | 1.23332i | −0.0453118 | + | 0.113536i | ||||
\(119\) | 14.9374 | + | 2.05420i | 1.36931 | + | 0.188308i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.85339 | + | 8.40632i | 0.441217 | + | 0.764211i | ||||
\(122\) | −4.40912 | + | 3.47503i | −0.399183 | + | 0.314615i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.3971 | + | 2.97936i | 1.11330 | + | 0.267554i | ||||
\(125\) | − | 13.0392i | − | 1.16626i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.16038 | −0.102967 | −0.0514837 | − | 0.998674i | \(-0.516395\pi\) | ||||
−0.0514837 | + | 0.998674i | \(0.516395\pi\) | |||||||
\(128\) | 9.56337 | + | 6.04499i | 0.845290 | + | 0.534307i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −11.6622 | − | 14.7970i | −1.02285 | − | 1.29779i | ||||
\(131\) | 10.2555 | − | 5.92101i | 0.896026 | − | 0.517321i | 0.0201174 | − | 0.999798i | \(-0.493596\pi\) |
0.875909 | + | 0.482477i | \(0.160263\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.54795 | + | 11.0080i | −0.741201 | + | 0.954511i | ||||
\(134\) | 1.32132 | − | 3.31078i | 0.114144 | − | 0.286008i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.0509 | − | 1.48055i | −1.37635 | − | 0.126956i | ||||
\(137\) | 3.36092 | + | 1.94043i | 0.287143 | + | 0.165782i | 0.636653 | − | 0.771151i | \(-0.280319\pi\) |
−0.349510 | + | 0.936933i | \(0.613652\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.63508 | −0.647599 | −0.323799 | − | 0.946126i | \(-0.604960\pi\) | ||||
−0.323799 | + | 0.946126i | \(0.604960\pi\) | |||||||
\(140\) | 18.1377 | + | 7.08751i | 1.53291 | + | 0.599004i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 19.6075 | − | 2.84061i | 1.64543 | − | 0.238379i | ||||
\(143\) | 2.05836 | − | 3.56518i | 0.172129 | − | 0.298136i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.82716 | − | 3.36432i | 0.483920 | − | 0.279391i | ||||
\(146\) | 4.06800 | − | 10.1931i | 0.336670 | − | 0.843584i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.7335 | − | 14.4653i | 1.12889 | − | 1.18904i | ||||
\(149\) | 3.50369 | + | 6.06857i | 0.287034 | + | 0.497157i | 0.973100 | − | 0.230382i | \(-0.0739975\pi\) |
−0.686067 | + | 0.727539i | \(0.740664\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.11816 | + | 15.7931i | −0.742025 | + | 1.28523i | 0.209547 | + | 0.977799i | \(0.432801\pi\) |
−0.951572 | + | 0.307427i | \(0.900532\pi\) | |||||||
\(152\) | 8.60337 | − | 12.1644i | 0.697826 | − | 0.986666i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0306752 | + | 4.25490i | 0.00247188 | + | 0.342869i | ||||
\(155\) | −23.4609 | −1.88442 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.98079 | − | 12.0911i | 0.557128 | − | 0.964974i | −0.440607 | − | 0.897700i | \(-0.645237\pi\) |
0.997735 | − | 0.0672736i | \(-0.0214300\pi\) | |||||||
\(158\) | 17.0669 | − | 13.4512i | 1.35777 | − | 1.07012i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −19.7091 | − | 6.70320i | −1.55814 | − | 0.529934i | ||||
\(161\) | −7.70034 | − | 5.97951i | −0.606872 | − | 0.471251i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.75280 | + | 5.05343i | −0.685572 | + | 0.395815i | −0.801951 | − | 0.597390i | \(-0.796205\pi\) |
0.116379 | + | 0.993205i | \(0.462871\pi\) | |||||||
\(164\) | −6.65276 | + | 1.96894i | −0.519493 | + | 0.153749i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.04594 | − | 0.586150i | 0.314026 | − | 0.0454941i | ||||
\(167\) | 5.21398 | 0.403470 | 0.201735 | − | 0.979440i | \(-0.435342\pi\) | ||||
0.201735 | + | 0.979440i | \(0.435342\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.104796 | 0.00806124 | ||||||||
\(170\) | 29.3534 | − | 4.25253i | 2.25130 | − | 0.326154i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.97551 | + | 13.4326i | 0.303130 | + | 1.02423i | ||||
\(173\) | −3.22284 | + | 1.86071i | −0.245028 | + | 0.141467i | −0.617486 | − | 0.786582i | \(-0.711849\pi\) |
0.372457 | + | 0.928049i | \(0.378515\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.3923 | − | 3.07941i | −1.69270 | − | 0.232781i | ||||
\(176\) | −0.235939 | − | 4.54267i | −0.0177846 | − | 0.342417i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.31652 | + | 1.82576i | −0.173631 | + | 0.136847i | ||||
\(179\) | −13.1792 | + | 22.8270i | −0.985057 | + | 1.70617i | −0.343377 | + | 0.939198i | \(0.611571\pi\) |
−0.641681 | + | 0.766972i | \(0.721763\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.91329 | 0.365202 | 0.182601 | − | 0.983187i | \(-0.441548\pi\) | ||||
0.182601 | + | 0.983187i | \(0.441548\pi\) | |||||||
\(182\) | −11.6812 | + | 6.85689i | −0.865867 | + | 0.508267i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.50932 | + | 6.01828i | 0.627316 | + | 0.443673i | ||||
\(185\) | −18.3511 | + | 31.7850i | −1.34920 | + | 2.33688i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.24041 | + | 5.61255i | 0.236962 | + | 0.410431i | ||||
\(188\) | −11.5711 | − | 10.9857i | −0.843909 | − | 0.801215i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.1620 | + | 25.4627i | −0.737232 | + | 1.84726i | ||||
\(191\) | −5.29844 | + | 3.05906i | −0.383382 | + | 0.221345i | −0.679289 | − | 0.733871i | \(-0.737712\pi\) |
0.295907 | + | 0.955217i | \(0.404378\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.25188 | + | 16.0247i | −0.665965 | + | 1.15349i | 0.313058 | + | 0.949734i | \(0.398647\pi\) |
−0.979023 | + | 0.203751i | \(0.934687\pi\) | |||||||
\(194\) | −14.5418 | + | 2.10673i | −1.04404 | + | 0.151254i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.82446 | − | 12.2240i | 0.487462 | − | 0.873144i | ||||
\(197\) | 2.99827 | 0.213618 | 0.106809 | − | 0.994280i | \(-0.465937\pi\) | ||||
0.106809 | + | 0.994280i | \(0.465937\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.27718 | − | 0.737381i | −0.0905370 | − | 0.0522715i | 0.454048 | − | 0.890977i | \(-0.349979\pi\) |
−0.544585 | + | 0.838706i | \(0.683313\pi\) | |||||||
\(200\) | 24.0616 | + | 2.21946i | 1.70141 | + | 0.156940i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.3017 | − | 25.8126i | 0.724825 | − | 1.81617i | ||||
\(203\) | −1.82542 | − | 4.47981i | −0.128119 | − | 0.314421i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.0559 | − | 6.38315i | 0.772180 | − | 0.445818i | ||||
\(206\) | −7.89280 | − | 10.0144i | −0.549918 | − | 0.697735i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.1478 | − | 7.88081i | 0.842300 | − | 0.546436i | ||||
\(209\) | −5.99045 | −0.414368 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 17.8952i | − | 1.23196i | −0.787764 | − | 0.615978i | \(-0.788761\pi\) | ||
0.787764 | − | 0.615978i | \(-0.211239\pi\) | |||||||
\(212\) | −2.65506 | + | 11.0477i | −0.182350 | + | 0.758760i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.16811 | − | 5.64953i | 0.490002 | − | 0.386194i | ||||
\(215\) | −12.8882 | − | 22.3231i | −0.878971 | − | 1.52242i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.29791 | + | 16.7096i | −0.155992 | + | 1.13432i | ||||
\(218\) | 3.63476 | − | 9.10750i | 0.246177 | − | 0.616838i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.37533 | + | 8.02589i | 0.160145 | + | 0.541105i | ||||
\(221\) | −10.3152 | + | 17.8665i | −0.693877 | + | 1.20183i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.26160i | 0.0844828i | 0.999107 | + | 0.0422414i | \(0.0134499\pi\) | ||||
−0.999107 | + | 0.0422414i | \(0.986550\pi\) | |||||||
\(224\) | −6.70466 | + | 13.3809i | −0.447974 | + | 0.894047i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −25.0631 | + | 3.63098i | −1.66717 | + | 0.241529i | ||||
\(227\) | 0.642193 | + | 0.370770i | 0.0426238 | + | 0.0246089i | 0.521160 | − | 0.853459i | \(-0.325499\pi\) |
−0.478537 | + | 0.878068i | \(0.658833\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.62136 | + | 8.00442i | 0.305388 | + | 0.528947i | 0.977348 | − | 0.211640i | \(-0.0678806\pi\) |
−0.671960 | + | 0.740588i | \(0.734547\pi\) | |||||||
\(230\) | −17.8118 | − | 7.10860i | −1.17448 | − | 0.468727i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.16343 | + | 4.69717i | 0.142036 | + | 0.308384i | ||||
\(233\) | −0.423385 | + | 0.244441i | −0.0277369 | + | 0.0160139i | −0.513804 | − | 0.857907i | \(-0.671764\pi\) |
0.486067 | + | 0.873921i | \(0.338431\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 25.4255 | + | 14.6794i | 1.65858 | + | 0.957579i | ||||
\(236\) | 1.82596 | + | 0.438826i | 0.118860 | + | 0.0285652i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.153725 | − | 21.3229i | −0.00996452 | − | 1.38216i | ||||
\(239\) | 1.36060i | 0.0880098i | 0.999031 | + | 0.0440049i | \(0.0140117\pi\) | ||||
−0.999031 | + | 0.0440049i | \(0.985988\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.282523 | + | 0.163115i | 0.0181989 | + | 0.0105071i | 0.509072 | − | 0.860724i | \(-0.329989\pi\) |
−0.490873 | + | 0.871231i | \(0.663322\pi\) | |||||||
\(242\) | 10.7814 | − | 8.49733i | 0.693055 | − | 0.546229i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.75768 | + | 5.46640i | 0.368598 | + | 0.349950i | ||||
\(245\) | −6.95375 | + | 24.8044i | −0.444259 | + | 1.58470i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.53473 | − | 16.5146i | −0.606680 | − | 1.05080i | ||||
\(248\) | 1.65621 | − | 17.9552i | 0.105169 | − | 1.14015i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −18.2497 | + | 2.64390i | −1.15421 | + | 0.167215i | ||||
\(251\) | − | 0.972392i | − | 0.0613768i | −0.999529 | − | 0.0306884i | \(-0.990230\pi\) | ||
0.999529 | − | 0.0306884i | \(-0.00976996\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 4.19047i | − | 0.263453i | ||||||
\(254\) | 0.235286 | + | 1.62407i | 0.0147631 | + | 0.101903i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.52147 | − | 14.6106i | 0.407592 | − | 0.913164i | ||||
\(257\) | −7.08066 | − | 12.2641i | −0.441680 | − | 0.765012i | 0.556135 | − | 0.831092i | \(-0.312284\pi\) |
−0.997814 | + | 0.0660806i | \(0.978951\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.8409 | + | 16.1835i | 1.29499 | + | 1.00559i | ||||
\(260\) | −18.3453 | + | 19.3228i | −1.13773 | + | 1.19835i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.3665 | − | 13.1530i | −0.640445 | − | 0.812597i | ||||
\(263\) | −15.9754 | − | 9.22341i | −0.985086 | − | 0.568740i | −0.0812844 | − | 0.996691i | \(-0.525902\pi\) |
−0.903802 | + | 0.427951i | \(0.859236\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 20.9072i | − | 1.28432i | ||||||
\(266\) | 17.1400 | + | 9.73170i | 1.05092 | + | 0.596689i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.90169 | − | 1.17800i | −0.299418 | − | 0.0719581i | ||||
\(269\) | −16.9445 | − | 9.78291i | −1.03312 | − | 0.596475i | −0.115246 | − | 0.993337i | \(-0.536766\pi\) |
−0.917878 | + | 0.396862i | \(0.870099\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.4255 | − | 10.0606i | 1.05853 | − | 0.611141i | 0.133502 | − | 0.991049i | \(-0.457378\pi\) |
0.925024 | + | 0.379908i | \(0.124044\pi\) | |||||||
\(272\) | 1.18238 | + | 22.7651i | 0.0716924 | + | 1.38033i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.03435 | − | 5.09741i | 0.122900 | − | 0.307946i | ||||
\(275\) | −4.85763 | − | 8.41367i | −0.292926 | − | 0.507363i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.82065 | − | 3.93790i | −0.409813 | − | 0.236606i | 0.280896 | − | 0.959738i | \(-0.409368\pi\) |
−0.690709 | + | 0.723132i | \(0.742702\pi\) | |||||||
\(278\) | 1.54813 | + | 10.6861i | 0.0928506 | + | 0.640908i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.24200 | − | 26.8226i | 0.373031 | − | 1.60296i | ||||
\(281\) | 19.6351i | 1.17133i | 0.810552 | + | 0.585666i | \(0.199167\pi\) | ||||
−0.810552 | + | 0.585666i | \(0.800833\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.0872 | + | 19.2035i | −0.659063 | + | 1.14153i | 0.321796 | + | 0.946809i | \(0.395714\pi\) |
−0.980859 | + | 0.194721i | \(0.937620\pi\) | |||||||
\(284\) | −7.95145 | − | 26.8667i | −0.471832 | − | 1.59425i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.40720 | − | 2.15799i | −0.319735 | − | 0.127605i | ||||
\(287\) | −3.46338 | − | 8.49958i | −0.204437 | − | 0.501715i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.73892 | − | 13.4042i | −0.455231 | − | 0.788483i | ||||
\(290\) | −5.89025 | − | 7.47355i | −0.345887 | − | 0.438862i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.0911 | − | 3.62678i | −0.883138 | − | 0.212241i | ||||
\(293\) | − | 18.6531i | − | 1.08973i | −0.838525 | − | 0.544863i | \(-0.816582\pi\) | ||
0.838525 | − | 0.544863i | \(-0.183418\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.45553 | −0.201189 | ||||||||
\(296\) | −23.0304 | − | 16.2884i | −1.33861 | − | 0.946743i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.78316 | − | 6.13427i | 0.450866 | − | 0.355349i | ||||
\(299\) | 11.5524 | − | 6.66978i | 0.668092 | − | 0.385723i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.1616 | + | 6.99294i | −0.989176 | + | 0.403066i | ||||
\(302\) | 23.9529 | + | 9.55950i | 1.37834 | + | 0.550087i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −18.7698 | − | 9.57477i | −1.07652 | − | 0.549151i | ||||
\(305\) | −12.6515 | − | 7.30436i | −0.724424 | − | 0.418246i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.7926 | −1.52913 | −0.764566 | − | 0.644546i | \(-0.777047\pi\) | ||||
−0.764566 | + | 0.644546i | \(0.777047\pi\) | |||||||
\(308\) | 5.94894 | − | 0.905679i | 0.338972 | − | 0.0516059i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.75706 | + | 32.8359i | 0.270183 | + | 1.86495i | ||||
\(311\) | −12.8790 | + | 22.3071i | −0.730302 | + | 1.26492i | 0.226452 | + | 0.974022i | \(0.427287\pi\) |
−0.956754 | + | 0.290898i | \(0.906046\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.2421 | − | 6.49065i | 0.635443 | − | 0.366873i | −0.147414 | − | 0.989075i | \(-0.547095\pi\) |
0.782857 | + | 0.622202i | \(0.213762\pi\) | |||||||
\(314\) | −18.3382 | − | 7.31868i | −1.03488 | − | 0.413017i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −22.2869 | − | 21.1594i | −1.25374 | − | 1.19031i | ||||
\(317\) | −10.5090 | − | 18.2021i | −0.590243 | − | 1.02233i | −0.994199 | − | 0.107553i | \(-0.965698\pi\) |
0.403956 | − | 0.914778i | \(-0.367635\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.03962 | − | 1.80067i | 0.0582073 | − | 0.100818i | ||||
\(320\) | −5.38549 | + | 28.9441i | −0.301058 | + | 1.61802i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.80757 | + | 11.9898i | −0.379371 | + | 0.668168i | ||||
\(323\) | 30.0204 | 1.67038 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.4633 | − | 26.7833i | 0.857752 | − | 1.48567i | ||||
\(326\) | 8.84756 | + | 11.2258i | 0.490021 | + | 0.621738i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.10469 | + | 8.91198i | 0.226644 | + | 0.492082i | ||||
\(329\) | 12.9455 | − | 16.6710i | 0.713707 | − | 0.919103i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.6548 | − | 6.72892i | 0.640607 | − | 0.369855i | −0.144241 | − | 0.989543i | \(-0.546074\pi\) |
0.784848 | + | 0.619688i | \(0.212741\pi\) | |||||||
\(332\) | −1.64075 | − | 5.54386i | −0.0900481 | − | 0.304259i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.05722 | − | 7.29750i | −0.0578483 | − | 0.399302i | ||||
\(335\) | 9.27617 | 0.506811 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.1178 | −1.31378 | −0.656891 | − | 0.753985i | \(-0.728129\pi\) | ||||
−0.656891 | + | 0.753985i | \(0.728129\pi\) | |||||||
\(338\) | −0.0212490 | − | 0.146673i | −0.00115580 | − | 0.00797796i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −11.9037 | − | 40.2208i | −0.645569 | − | 2.18128i | ||||
\(341\) | −6.27843 | + | 3.62486i | −0.339996 | + | 0.196297i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9854 | + | 7.38218i | 0.917125 | + | 0.398600i | ||||
\(344\) | 17.9942 | − | 8.28780i | 0.970184 | − | 0.446848i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.25773 | + | 4.13341i | 0.175137 | + | 0.222213i | ||||
\(347\) | 2.10821 | − | 3.65153i | 0.113175 | − | 0.196025i | −0.803874 | − | 0.594800i | \(-0.797231\pi\) |
0.917049 | + | 0.398775i | \(0.130565\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.32452 | 0.499130 | 0.249565 | − | 0.968358i | \(-0.419712\pi\) | ||||
0.249565 | + | 0.968358i | \(0.419712\pi\) | |||||||
\(350\) | 0.230446 | + | 31.9647i | 0.0123179 | + | 1.70859i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.31009 | + | 1.25132i | −0.336329 | + | 0.0666955i | ||||
\(353\) | 10.5650 | − | 18.2992i | 0.562320 | − | 0.973967i | −0.434974 | − | 0.900443i | \(-0.643242\pi\) |
0.997293 | − | 0.0735234i | \(-0.0234244\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 25.7779 | + | 44.6487i | 1.36815 | + | 2.36970i | ||||
\(356\) | 3.02505 | + | 2.87201i | 0.160327 | + | 0.152216i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 34.6210 | + | 13.8171i | 1.82978 | + | 0.730255i | ||||
\(359\) | 9.51917 | − | 5.49590i | 0.502403 | − | 0.290062i | −0.227303 | − | 0.973824i | \(-0.572991\pi\) |
0.729705 | + | 0.683762i | \(0.239657\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.37446 | + | 7.57680i | −0.230235 | + | 0.398779i | ||||
\(362\) | −0.996245 | − | 6.87665i | −0.0523615 | − | 0.361428i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 11.9655 | + | 14.9587i | 0.627161 | + | 0.784048i | ||||
\(365\) | 28.5590 | 1.49485 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.8547 | + | 9.73104i | 0.879806 | + | 0.507956i | 0.870594 | − | 0.492002i | \(-0.163735\pi\) |
0.00921137 | + | 0.999958i | \(0.497068\pi\) | |||||||
\(368\) | 6.69780 | − | 13.1300i | 0.349147 | − | 0.684447i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 48.2074 | + | 19.2393i | 2.50618 | + | 1.00021i | ||||
\(371\) | −14.8907 | − | 2.04778i | −0.773088 | − | 0.106316i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.130569 | − | 0.0753842i | 0.00676062 | − | 0.00390325i | −0.496616 | − | 0.867970i | \(-0.665424\pi\) |
0.503377 | + | 0.864067i | \(0.332091\pi\) | |||||||
\(374\) | 7.19830 | − | 5.67332i | 0.372215 | − | 0.293360i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −13.0294 | + | 18.4225i | −0.671940 | + | 0.950066i | ||||
\(377\) | 6.61884 | 0.340888 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 32.9127i | − | 1.69061i | −0.534283 | − | 0.845306i | \(-0.679418\pi\) | ||
0.534283 | − | 0.845306i | \(-0.320582\pi\) | |||||||
\(380\) | 37.6982 | + | 9.05986i | 1.93387 | + | 0.464761i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.35580 | + | 6.79544i | 0.274027 | + | 0.347685i | ||||
\(383\) | 8.38834 | + | 14.5290i | 0.428624 | + | 0.742398i | 0.996751 | − | 0.0805423i | \(-0.0256652\pi\) |
−0.568127 | + | 0.822941i | \(0.692332\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.2539 | + | 4.17823i | −0.522587 | + | 0.212942i | ||||
\(386\) | 24.3042 | + | 9.69969i | 1.23705 | + | 0.493701i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.89716 | + | 19.9256i | 0.299383 | + | 1.01157i | ||||
\(389\) | −12.6509 | + | 21.9121i | −0.641428 | + | 1.11099i | 0.343686 | + | 0.939085i | \(0.388324\pi\) |
−0.985114 | + | 0.171902i | \(0.945009\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.0000i | 1.06202i | ||||||||
\(392\) | −18.4925 | − | 7.07292i | −0.934014 | − | 0.357237i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.607946 | − | 4.19639i | −0.0306279 | − | 0.211411i | ||||
\(395\) | 48.9717 | + | 28.2738i | 2.46403 | + | 1.42261i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.7452 | − | 30.7356i | −0.890606 | − | 1.54257i | −0.839151 | − | 0.543899i | \(-0.816947\pi\) |
−0.0514552 | − | 0.998675i | \(-0.516386\pi\) | |||||||
\(398\) | −0.773072 | + | 1.93706i | −0.0387506 | + | 0.0970961i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.77248 | − | 34.1266i | −0.0886242 | − | 1.70633i | ||||
\(401\) | −2.98000 | + | 1.72050i | −0.148814 | + | 0.0859179i | −0.572558 | − | 0.819864i | \(-0.694049\pi\) |
0.423744 | + | 0.905782i | \(0.360716\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.9862 | − | 11.5390i | −0.995584 | − | 0.574800i | ||||
\(404\) | −38.2162 | − | 9.18436i | −1.90133 | − | 0.456939i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.89982 | + | 3.46321i | −0.292803 | + | 0.171876i | ||||
\(407\) | 11.3414i | 0.562175i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.30301 | − | 3.06169i | −0.262217 | − | 0.151391i | 0.363129 | − | 0.931739i | \(-0.381709\pi\) |
−0.625345 | + | 0.780348i | \(0.715042\pi\) | |||||||
\(410\) | −11.1756 | − | 14.1796i | −0.551925 | − | 0.700282i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.4158 | + | 13.0774i | −0.611681 | + | 0.644275i | ||||
\(413\) | −0.338457 | + | 2.46113i | −0.0166544 | + | 0.121104i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.31918 | + | 9.21309i | 0.261108 | + | 0.452253i | ||||
\(416\) | −13.4932 | − | 15.4042i | −0.661556 | − | 0.755251i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.21466 | + | 8.38425i | 0.0594108 | + | 0.410087i | ||||
\(419\) | 11.9546i | 0.584022i | 0.956415 | + | 0.292011i | \(0.0943244\pi\) | ||||
−0.956415 | + | 0.292011i | \(0.905676\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 12.1616i | − | 0.592720i | −0.955076 | − | 0.296360i | \(-0.904227\pi\) | ||
0.955076 | − | 0.296360i | \(-0.0957728\pi\) | |||||||
\(422\) | −25.0461 | + | 3.62853i | −1.21923 | + | 0.176634i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.0008 | + | 1.47593i | 0.777065 | + | 0.0716773i | ||||
\(425\) | 24.3434 | + | 42.1641i | 1.18083 | + | 2.04526i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.44156 | + | 8.29536i | −0.311729 | + | 0.401441i | ||||
\(428\) | −9.36053 | − | 8.88698i | −0.452459 | − | 0.429568i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −28.6302 | + | 22.5648i | −1.38067 | + | 1.08817i | ||||
\(431\) | 19.6396 | + | 11.3389i | 0.946006 | + | 0.546177i | 0.891838 | − | 0.452355i | \(-0.149416\pi\) |
0.0541683 | + | 0.998532i | \(0.482749\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.754762i | 0.0362716i | 0.999836 | + | 0.0181358i | \(0.00577312\pi\) | ||||
−0.999836 | + | 0.0181358i | \(0.994227\pi\) | |||||||
\(434\) | 23.8527 | − | 0.171963i | 1.14497 | − | 0.00825450i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.4839 | − | 3.24053i | −0.645761 | − | 0.155193i | ||||
\(437\) | −16.8105 | − | 9.70554i | −0.804154 | − | 0.464279i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.2969 | − | 9.40902i | 0.777809 | − | 0.449068i | −0.0578444 | − | 0.998326i | \(-0.518423\pi\) |
0.835653 | + | 0.549258i | \(0.185089\pi\) | |||||||
\(440\) | 10.7514 | − | 4.95190i | 0.512554 | − | 0.236072i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 27.0976 | + | 10.8145i | 1.28890 | + | 0.514394i | ||||
\(443\) | −3.46180 | − | 5.99600i | −0.164475 | − | 0.284879i | 0.771994 | − | 0.635630i | \(-0.219260\pi\) |
−0.936469 | + | 0.350751i | \(0.885926\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.64703 | − | 3.83766i | −0.315099 | − | 0.181923i | ||||
\(446\) | 1.76573 | − | 0.255808i | 0.0836100 | − | 0.0121129i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 20.0874 | + | 6.67068i | 0.949039 | + | 0.315160i | ||||
\(449\) | 0.270365i | 0.0127593i | 0.999980 | + | 0.00637965i | \(0.00203072\pi\) | ||||
−0.999980 | + | 0.00637965i | \(0.997969\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.97247 | − | 3.41642i | 0.0928801 | − | 0.160873i | ||||
\(452\) | 10.1639 | + | 34.3421i | 0.478067 | + | 1.61532i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.388716 | − | 0.973993i | 0.0182433 | − | 0.0457118i | ||||
\(455\) | −27.8393 | − | 21.6179i | −1.30513 | − | 1.01346i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.91551 | − | 3.31776i | −0.0896037 | − | 0.155198i | 0.817740 | − | 0.575588i | \(-0.195227\pi\) |
−0.907344 | + | 0.420390i | \(0.861893\pi\) | |||||||
\(458\) | 10.2660 | − | 8.09108i | 0.479697 | − | 0.378071i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.33760 | + | 26.3708i | −0.295492 | + | 1.22955i | ||||
\(461\) | − | 15.4863i | − | 0.721267i | −0.932708 | − | 0.360634i | \(-0.882561\pi\) | ||
0.932708 | − | 0.360634i | \(-0.117439\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.51872 | −0.302950 | −0.151475 | − | 0.988461i | \(-0.548402\pi\) | ||||
−0.151475 | + | 0.988461i | \(0.548402\pi\) | |||||||
\(464\) | 6.13550 | − | 3.98036i | 0.284833 | − | 0.184784i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.427968 | + | 0.543006i | 0.0198253 | + | 0.0251543i | ||||
\(467\) | 19.1086 | − | 11.0323i | 0.884240 | − | 0.510516i | 0.0121856 | − | 0.999926i | \(-0.496121\pi\) |
0.872054 | + | 0.489410i | \(0.162788\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.908568 | − | 6.60677i | 0.0419538 | − | 0.305072i | ||||
\(470\) | 15.3899 | − | 38.5621i | 0.709885 | − | 1.77873i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.243941 | − | 2.64460i | 0.0112283 | − | 0.121727i | ||||
\(473\) | −6.89812 | − | 3.98263i | −0.317176 | − | 0.183122i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −45.0030 | −2.06488 | ||||||||
\(476\) | −29.8124 | + | 4.53870i | −1.36645 | + | 0.208031i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.90430 | − | 0.275882i | 0.0871005 | − | 0.0126186i | ||||
\(479\) | −5.97672 | + | 10.3520i | −0.273083 | + | 0.472994i | −0.969650 | − | 0.244498i | \(-0.921377\pi\) |
0.696567 | + | 0.717492i | \(0.254710\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −31.2664 | + | 18.0517i | −1.42563 | + | 0.823085i | ||||
\(482\) | 0.171010 | − | 0.428494i | 0.00778928 | − | 0.0195174i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.0790 | − | 13.3667i | −0.639953 | − | 0.607578i | ||||
\(485\) | −19.1181 | − | 33.1135i | −0.868107 | − | 1.50361i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.13421 | − | 1.96451i | 0.0513959 | − | 0.0890203i | −0.839183 | − | 0.543849i | \(-0.816966\pi\) |
0.890579 | + | 0.454829i | \(0.150300\pi\) | |||||||
\(488\) | 6.48332 | − | 9.16686i | 0.293486 | − | 0.414964i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 36.1263 | + | 4.70300i | 1.63202 | + | 0.212460i | ||||
\(491\) | −15.1155 | −0.682153 | −0.341077 | − | 0.940036i | \(-0.610792\pi\) | ||||
−0.341077 | + | 0.940036i | \(0.610792\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.20991 | + | 9.02383i | −0.234643 | + | 0.406413i | ||||
\(494\) | −21.1806 | + | 16.6934i | −0.952960 | + | 0.751073i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −25.4659 | + | 1.32266i | −1.14345 | + | 0.0593892i | ||||
\(497\) | 34.3250 | − | 13.9867i | 1.53969 | − | 0.627387i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −37.1204 | + | 21.4315i | −1.66174 | + | 0.959404i | −0.689851 | + | 0.723952i | \(0.742324\pi\) |
−0.971886 | + | 0.235452i | \(0.924343\pi\) | |||||||
\(500\) | 7.40080 | + | 25.0062i | 0.330974 | + | 1.11831i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.36096 | + | 0.197167i | −0.0607427 | + | 0.00880001i | ||||
\(503\) | 40.5210 | 1.80674 | 0.903372 | − | 0.428858i | \(-0.141084\pi\) | ||||
0.903372 | + | 0.428858i | \(0.141084\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 72.3220 | 3.21829 | ||||||||
\(506\) | −5.86499 | + | 0.849682i | −0.260731 | + | 0.0377730i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.22535 | − | 0.658612i | 0.0987339 | − | 0.0292212i | ||||
\(509\) | −9.81718 | + | 5.66795i | −0.435139 | + | 0.251227i | −0.701533 | − | 0.712637i | \(-0.747501\pi\) |
0.266395 | + | 0.963864i | \(0.414168\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.79725 | − | 20.3406i | 0.123743 | − | 0.899815i | ||||
\(512\) | −21.7714 | − | 6.16493i | −0.962169 | − | 0.272454i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.7291 | + | 12.3968i | −0.693781 | + | 0.546801i | ||||
\(515\) | 16.5903 | − | 28.7352i | 0.731056 | − | 1.26623i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.07225 | 0.398997 | ||||||||
\(518\) | 18.4246 | − | 32.4504i | 0.809530 | − | 1.42579i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 30.7641 | + | 21.7581i | 1.34909 | + | 0.954155i | ||||
\(521\) | −4.86146 | + | 8.42029i | −0.212984 | + | 0.368900i | −0.952647 | − | 0.304078i | \(-0.901652\pi\) |
0.739663 | + | 0.672978i | \(0.234985\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.28564 | + | 16.0832i | 0.406033 | + | 0.703269i | 0.994441 | − | 0.105295i | \(-0.0335786\pi\) |
−0.588408 | + | 0.808564i | \(0.700245\pi\) | |||||||
\(524\) | −16.3070 | + | 17.1760i | −0.712376 | + | 0.750336i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.66984 | + | 24.2294i | −0.421625 | + | 1.05645i | ||||
\(527\) | 31.4636 | − | 18.1655i | 1.37058 | − | 0.791303i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.71073 | + | 8.15923i | −0.204815 | + | 0.354749i | ||||
\(530\) | −29.2617 | + | 4.23925i | −1.27105 | + | 0.184141i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.1451 | − | 25.9624i | 0.439846 | − | 1.12561i | ||||
\(533\) | 12.5580 | 0.543947 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.5682 | + | 11.8750i | 0.889239 | + | 0.513402i | ||||
\(536\) | −0.654845 | + | 7.09927i | −0.0282850 | + | 0.306642i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.2564 | + | 25.6992i | −0.442186 | + | 1.10797i | ||||
\(539\) | 1.97153 | + | 7.71238i | 0.0849198 | + | 0.332196i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.795518 | − | 0.459292i | 0.0342020 | − | 0.0197465i | −0.482802 | − | 0.875730i | \(-0.660381\pi\) |
0.517004 | + | 0.855983i | \(0.327047\pi\) | |||||||
\(542\) | −17.6142 | − | 22.3489i | −0.756595 | − | 0.959967i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 31.6223 | − | 6.27083i | 1.35579 | − | 0.268860i | ||||
\(545\) | 25.5175 | 1.09305 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.4217i | 1.21523i | 0.794233 | + | 0.607613i | \(0.207873\pi\) | ||||
−0.794233 | + | 0.607613i | \(0.792127\pi\) | |||||||
\(548\) | −7.54684 | − | 1.81370i | −0.322385 | − | 0.0774775i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.7908 | + | 8.50475i | −0.460122 | + | 0.362644i | ||||
\(551\) | −4.81570 | − | 8.34105i | −0.205156 | − | 0.355340i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 24.9341 | − | 32.1098i | 1.06031 | − | 1.36545i | ||||
\(554\) | −4.12851 | + | 10.3447i | −0.175403 | + | 0.439503i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 14.6423 | − | 4.33353i | 0.620973 | − | 0.183783i | ||||
\(557\) | −12.7308 | + | 22.0504i | −0.539420 | + | 0.934304i | 0.459515 | + | 0.888170i | \(0.348023\pi\) |
−0.998935 | + | 0.0461335i | \(0.985310\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 25.3559i | − | 1.07244i | ||||||
\(560\) | −38.8067 | − | 3.29761i | −1.63988 | − | 0.139349i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 27.4814 | − | 3.98132i | 1.15923 | − | 0.167942i | ||||
\(563\) | −15.6292 | − | 9.02355i | −0.658694 | − | 0.380297i | 0.133085 | − | 0.991105i | \(-0.457512\pi\) |
−0.791779 | + | 0.610807i | \(0.790845\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −32.9503 | − | 57.0716i | −1.38623 | − | 2.40102i | ||||
\(566\) | 29.1254 | + | 11.6238i | 1.22423 | + | 0.488585i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −35.9905 | + | 16.5765i | −1.51013 | + | 0.695535i | ||||
\(569\) | −26.9348 | + | 15.5508i | −1.12917 | + | 0.651925i | −0.943725 | − | 0.330730i | \(-0.892705\pi\) |
−0.185442 | + | 0.982655i | \(0.559372\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.0094 | + | 21.9447i | 1.59064 | + | 0.918359i | 0.993197 | + | 0.116450i | \(0.0371516\pi\) |
0.597447 | + | 0.801908i | \(0.296182\pi\) | |||||||
\(572\) | −1.92393 | + | 8.00550i | −0.0804436 | + | 0.334727i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.1938 | + | 6.57078i | −0.467219 | + | 0.274259i | ||||
\(575\) | − | 31.4807i | − | 1.31284i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.7081 | − | 14.8426i | −1.07024 | − | 0.617906i | −0.141996 | − | 0.989867i | \(-0.545352\pi\) |
−0.928248 | + | 0.371962i | \(0.878685\pi\) | |||||||
\(578\) | −17.1914 | + | 13.5493i | −0.715067 | + | 0.563578i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.26565 | + | 9.75938i | −0.384735 | + | 0.405236i | ||||
\(581\) | 7.08284 | − | 2.88610i | 0.293846 | − | 0.119735i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.23029 | − | 5.59503i | −0.133785 | − | 0.231722i | ||||
\(584\) | −2.01610 | + | 21.8569i | −0.0834269 | + | 0.904444i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.1069 | + | 3.78221i | −1.07847 | + | 0.156242i | ||||
\(587\) | − | 39.8767i | − | 1.64589i | −0.568122 | − | 0.822944i | \(-0.692330\pi\) | ||
0.568122 | − | 0.822944i | \(-0.307670\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 33.5821i | 1.38373i | ||||||||
\(590\) | 0.700662 | + | 4.83636i | 0.0288458 | + | 0.199110i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −18.1275 | + | 35.5361i | −0.745035 | + | 1.46052i | ||||
\(593\) | 2.90705 | + | 5.03515i | 0.119378 | + | 0.206769i | 0.919521 | − | 0.393040i | \(-0.128577\pi\) |
−0.800143 | + | 0.599809i | \(0.795243\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 51.3862 | − | 20.9387i | 2.10663 | − | 0.858402i | ||||
\(596\) | −10.1637 | − | 9.64951i | −0.416321 | − | 0.395259i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −11.6775 | − | 14.8164i | −0.477527 | − | 0.605886i | ||||
\(599\) | 7.85117 | + | 4.53288i | 0.320790 | + | 0.185208i | 0.651745 | − | 0.758438i | \(-0.274037\pi\) |
−0.330955 | + | 0.943647i | \(0.607371\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.2715i | 0.990056i | 0.868877 | + | 0.495028i | \(0.164842\pi\) | ||||
−0.868877 | + | 0.495028i | \(0.835158\pi\) | |||||||
\(602\) | 13.2671 | + | 22.6014i | 0.540727 | + | 0.921165i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.52267 | − | 35.4629i | 0.346782 | − | 1.44296i | ||||
\(605\) | 30.9361 | + | 17.8610i | 1.25773 | + | 0.726152i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.9254 | + | 12.6586i | −0.889923 | + | 0.513797i | −0.873917 | − | 0.486074i | \(-0.838428\pi\) |
−0.0160059 | + | 0.999872i | \(0.505095\pi\) | |||||||
\(608\) | −9.59500 | + | 28.2117i | −0.389129 | + | 1.14414i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.65790 | + | 19.1882i | −0.310059 | + | 0.776906i | ||||
\(611\) | 14.4399 | + | 25.0106i | 0.584175 | + | 1.01182i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.971418 | − | 0.560849i | −0.0392352 | − | 0.0226525i | 0.480254 | − | 0.877129i | \(-0.340544\pi\) |
−0.519489 | + | 0.854477i | \(0.673878\pi\) | |||||||
\(614\) | 5.43260 | + | 37.4989i | 0.219242 | + | 1.51333i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.47383 | − | 8.14251i | −0.0996735 | − | 0.328071i | ||||
\(617\) | 24.9684i | 1.00519i | 0.864522 | + | 0.502596i | \(0.167622\pi\) | ||||
−0.864522 | + | 0.502596i | \(0.832378\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.5995 | + | 28.7513i | −0.667192 | + | 1.15561i | 0.311494 | + | 0.950248i | \(0.399171\pi\) |
−0.978686 | + | 0.205362i | \(0.934163\pi\) | |||||||
\(620\) | 44.9926 | − | 13.3160i | 1.80695 | − | 0.534782i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 33.8325 | + | 13.5024i | 1.35656 | + | 0.541396i | ||||
\(623\) | −3.38435 | + | 4.35833i | −0.135591 | + | 0.174613i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.63487 | − | 4.56373i | −0.105395 | − | 0.182549i | ||||
\(626\) | −11.3638 | − | 14.4184i | −0.454191 | − | 0.576277i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.52489 | + | 27.1501i | −0.260371 | + | 1.08341i | ||||
\(629\) | − | 56.8363i | − | 2.26621i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.5394 | −0.618613 | −0.309307 | − | 0.950962i | \(-0.600097\pi\) | ||||
−0.309307 | + | 0.950962i | \(0.600097\pi\) | |||||||
\(632\) | −25.0958 | + | 35.4832i | −0.998256 | + | 1.41145i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −23.3448 | + | 18.3992i | −0.927142 | + | 0.730724i | ||||
\(635\) | −3.69821 | + | 2.13516i | −0.146759 | + | 0.0847314i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −18.1237 | + | 17.7106i | −0.718088 | + | 0.701720i | ||||
\(638\) | −2.73102 | − | 1.08994i | −0.108122 | − | 0.0431510i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 41.6022 | + | 1.66868i | 1.64447 | + | 0.0659604i | ||||
\(641\) | −33.1136 | − | 19.1182i | −1.30791 | − | 0.755122i | −0.326163 | − | 0.945314i | \(-0.605756\pi\) |
−0.981747 | + | 0.190191i | \(0.939089\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.17969 | −0.125395 | −0.0626974 | − | 0.998033i | \(-0.519970\pi\) | ||||
−0.0626974 | + | 0.998033i | \(0.519970\pi\) | |||||||
\(644\) | 18.1614 | + | 7.09676i | 0.715658 | + | 0.279651i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.08710 | − | 42.0166i | −0.239494 | − | 1.65312i | ||||
\(647\) | 9.13828 | − | 15.8280i | 0.359263 | − | 0.622262i | −0.628575 | − | 0.777749i | \(-0.716361\pi\) |
0.987838 | + | 0.155487i | \(0.0496948\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.924744 | + | 0.533901i | −0.0362994 | + | 0.0209574i | ||||
\(650\) | −40.6214 | − | 16.2118i | −1.59330 | − | 0.635879i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.9176 | − | 14.6593i | 0.545057 | − | 0.574101i | ||||
\(653\) | 22.2442 | + | 38.5282i | 0.870485 | + | 1.50772i | 0.861496 | + | 0.507764i | \(0.169528\pi\) |
0.00898848 | + | 0.999960i | \(0.497139\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.7899 | − | 37.7413i | 0.851403 | − | 1.47467i | ||||
\(656\) | 11.6409 | − | 7.55197i | 0.454502 | − | 0.294855i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −25.9577 | − | 14.7382i | −1.01194 | − | 0.574555i | ||||
\(659\) | −24.7165 | −0.962818 | −0.481409 | − | 0.876496i | \(-0.659875\pi\) | ||||
−0.481409 | + | 0.876496i | \(0.659875\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.39973 | − | 16.2808i | 0.365607 | − | 0.633250i | −0.623266 | − | 0.782010i | \(-0.714195\pi\) |
0.988873 | + | 0.148760i | \(0.0475281\pi\) | |||||||
\(662\) | −11.7810 | − | 14.9477i | −0.457882 | − | 0.580960i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.42651 | + | 3.42051i | −0.288204 | + | 0.132741i | ||||
\(665\) | −6.98766 | + | 50.8117i | −0.270970 | + | 1.97039i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.83477 | − | 3.36871i | 0.225923 | − | 0.130437i | ||||
\(668\) | −9.99924 | + | 2.95936i | −0.386882 | + | 0.114501i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.88089 | − | 12.9829i | −0.0726650 | − | 0.501575i | ||||
\(671\) | −4.51428 | −0.174272 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.7132 | 0.875531 | 0.437766 | − | 0.899089i | \(-0.355770\pi\) | ||||
0.437766 | + | 0.899089i | \(0.355770\pi\) | |||||||
\(674\) | 4.89027 | + | 33.7554i | 0.188366 | + | 1.30021i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.200975 | + | 0.0594804i | −0.00772982 | + | 0.00228771i | ||||
\(677\) | −31.0283 | + | 17.9142i | −1.19251 | + | 0.688498i | −0.958876 | − | 0.283825i | \(-0.908396\pi\) |
−0.233638 | + | 0.972324i | \(0.575063\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −25.4570 | + | 10.3731i | −0.976950 | + | 0.398084i | ||||
\(680\) | −53.8794 | + | 24.8158i | −2.06618 | + | 0.951644i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.34641 | + | 8.05231i | 0.243016 | + | 0.308339i | ||||
\(683\) | 5.91001 | − | 10.2364i | 0.226140 | − | 0.391686i | −0.730521 | − | 0.682891i | \(-0.760723\pi\) |
0.956661 | + | 0.291204i | \(0.0940559\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.2820 | 0.545686 | ||||||||
\(686\) | 6.88807 | − | 25.2696i | 0.262988 | − | 0.964799i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −15.2482 | − | 23.5043i | −0.581333 | − | 0.896093i | ||||
\(689\) | 10.2830 | − | 17.8107i | 0.391752 | − | 0.678534i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.8555 | − | 29.1945i | −0.641213 | − | 1.11061i | −0.985162 | − | 0.171625i | \(-0.945098\pi\) |
0.343950 | − | 0.938988i | \(-0.388235\pi\) | |||||||
\(692\) | 5.12457 | − | 5.39764i | 0.194807 | − | 0.205188i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.53817 | − | 2.21026i | −0.210226 | − | 0.0839002i | ||||
\(695\) | −24.3335 | + | 14.0489i | −0.923021 | + | 0.532906i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.88481 | + | 17.1210i | −0.374414 | + | 0.648504i | ||||
\(698\) | −1.89069 | − | 13.0506i | −0.0715637 | − | 0.493973i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 44.6912 | − | 6.80388i | 1.68917 | − | 0.257162i | ||||
\(701\) | 7.35428 | 0.277767 | 0.138884 | − | 0.990309i | \(-0.455649\pi\) | ||||
0.138884 | + | 0.990309i | \(0.455649\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 45.4973 | + | 26.2679i | 1.71596 | + | 0.990713i | ||||
\(704\) | 3.03082 | + | 8.57789i | 0.114228 | + | 0.323292i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.7538 | − | 11.0764i | −1.04453 | − | 0.416866i | ||||
\(707\) | 7.08368 | − | 51.5100i | 0.266409 | − | 1.93723i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 32.1899 | − | 18.5848i | 1.20892 | − | 0.697968i | 0.246394 | − | 0.969170i | \(-0.420754\pi\) |
0.962523 | + | 0.271202i | \(0.0874210\pi\) | |||||||
\(710\) | 57.2635 | − | 45.1320i | 2.14906 | − | 1.69378i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.40630 | − | 4.81621i | 0.127656 | − | 0.180495i | ||||
\(713\) | −23.4915 | −0.879764 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 15.1500i | − | 0.566576i | ||||||
\(716\) | 12.3185 | − | 51.2572i | 0.460362 | − | 1.91557i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.62223 | − | 12.2087i | −0.359098 | − | 0.455624i | ||||
\(719\) | 9.83186 | + | 17.0293i | 0.366667 | + | 0.635085i | 0.989042 | − | 0.147634i | \(-0.0471657\pi\) |
−0.622376 | + | 0.782719i | \(0.713832\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.8412 | − | 14.6306i | −0.701682 | − | 0.544873i | ||||
\(722\) | 11.4915 | + | 4.58620i | 0.427669 | + | 0.170681i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.42256 | + | 2.78869i | −0.350187 | + | 0.103641i | ||||
\(725\) | 7.81007 | − | 13.5274i | 0.290059 | − | 0.502397i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 24.1400i | − | 0.895302i | −0.894208 | − | 0.447651i | \(-0.852261\pi\) | ||
0.894208 | − | 0.447651i | \(-0.147739\pi\) | |||||||
\(728\) | 18.5100 | − | 19.7800i | 0.686027 | − | 0.733095i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.79078 | − | 39.9712i | −0.214326 | − | 1.47940i | ||||
\(731\) | 34.5691 | + | 19.9585i | 1.27858 | + | 0.738191i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.741275 | − | 1.28393i | −0.0273796 | − | 0.0474229i | 0.852011 | − | 0.523524i | \(-0.175383\pi\) |
−0.879391 | + | 0.476101i | \(0.842050\pi\) | |||||||
\(734\) | 10.2020 | − | 25.5629i | 0.376564 | − | 0.943545i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19.7348 | − | 6.71194i | −0.727435 | − | 0.247406i | ||||
\(737\) | 2.48242 | − | 1.43323i | 0.0914412 | − | 0.0527936i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.3252 | − | 11.7348i | −0.747676 | − | 0.431671i | 0.0771774 | − | 0.997017i | \(-0.475409\pi\) |
−0.824854 | + | 0.565346i | \(0.808743\pi\) | |||||||
\(740\) | 17.1526 | − | 71.3722i | 0.630543 | − | 2.62370i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.153245 | + | 21.2563i | 0.00562580 | + | 0.780344i | ||||
\(743\) | − | 5.90858i | − | 0.216765i | −0.994109 | − | 0.108382i | \(-0.965433\pi\) | ||
0.994109 | − | 0.108382i | \(-0.0345671\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.3330 | + | 12.8939i | 0.818217 | + | 0.472398i | ||||
\(746\) | −0.131983 | − | 0.167460i | −0.00483223 | − | 0.00613114i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.39995 | − | 8.92440i | −0.343696 | − | 0.326308i | ||||
\(749\) | 10.4723 | − | 13.4862i | 0.382651 | − | 0.492774i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.1457 | − | 27.9652i | −0.589166 | − | 1.02047i | −0.994342 | − | 0.106227i | \(-0.966123\pi\) |
0.405175 | − | 0.914239i | \(-0.367210\pi\) | |||||||
\(752\) | 28.4260 | + | 14.5005i | 1.03659 | + | 0.528780i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.34207 | − | 9.26374i | −0.0488754 | − | 0.337366i | ||||
\(755\) | 67.1115i | 2.44244i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.01154i | 0.254839i | 0.991849 | + | 0.127419i | \(0.0406694\pi\) | ||||
−0.991849 | + | 0.127419i | \(0.959331\pi\) | |||||||
\(758\) | −46.0647 | + | 6.67356i | −1.67314 | + | 0.242395i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.03631 | − | 54.5995i | 0.182686 | − | 1.98053i | ||||
\(761\) | 17.4606 | + | 30.2426i | 0.632945 | + | 1.09629i | 0.986946 | + | 0.161049i | \(0.0514876\pi\) |
−0.354001 | + | 0.935245i | \(0.615179\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.49935 | − | 18.1743i | 0.0904824 | − | 0.657955i | ||||
\(764\) | 8.42494 | − | 8.87387i | 0.304803 | − | 0.321045i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.6340 | − | 14.6863i | 0.673273 | − | 0.530638i | ||||
\(767\) | −2.94375 | − | 1.69957i | −0.106292 | − | 0.0613680i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 40.6649i | − | 1.46642i | −0.680005 | − | 0.733208i | \(-0.738022\pi\) | ||
0.680005 | − | 0.733208i | \(-0.261978\pi\) | |||||||
\(770\) | 7.92699 | + | 13.5042i | 0.285669 | + | 0.486657i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 8.64766 | − | 35.9830i | 0.311236 | − | 1.29506i | ||||
\(773\) | −35.3357 | − | 20.4011i | −1.27094 | − | 0.733777i | −0.295774 | − | 0.955258i | \(-0.595577\pi\) |
−0.975165 | + | 0.221481i | \(0.928911\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −47.1665 | + | 27.2316i | −1.69427 | + | 0.978187i | ||||
\(776\) | 26.6922 | − | 12.2939i | 0.958193 | − | 0.441325i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.2334 | + | 13.2633i | 1.19147 | + | 0.475511i | ||||
\(779\) | −9.13688 | − | 15.8255i | −0.327363 | − | 0.567009i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.7970 | + | 7.96570i | 0.493696 | + | 0.285035i | ||||
\(782\) | 29.3917 | − | 4.25808i | 1.05104 | − | 0.152269i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.14963 | + | 27.3163i | −0.219630 | + | 0.975583i | ||||
\(785\) | − | 51.3801i | − | 1.83383i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.9930 | − | 27.7007i | 0.570089 | − | 0.987423i | −0.426467 | − | 0.904503i | \(-0.640242\pi\) |
0.996556 | − | 0.0829199i | \(-0.0264246\pi\) | |||||||
\(788\) | −5.75000 | + | 1.70177i | −0.204835 | + | 0.0606229i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 29.6423 | − | 74.2738i | 1.05463 | − | 2.64254i | ||||
\(791\) | −43.8755 | + | 17.8783i | −1.56003 | + | 0.635678i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.18517 | − | 12.4451i | −0.255153 | − | 0.441938i | ||||
\(794\) | −39.4195 | + | 31.0683i | −1.39894 | + | 1.10257i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.86787 | + | 0.689224i | 0.101649 | + | 0.0244289i | ||||
\(797\) | 27.1417i | 0.961410i | 0.876883 | + | 0.480705i | \(0.159619\pi\) | ||||
−0.876883 | + | 0.480705i | \(0.840381\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −45.4645 | −1.60842 | ||||||||
\(800\) | −47.4043 | + | 9.40047i | −1.67600 | + | 0.332357i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.01226 | + | 3.82196i | 0.106367 | + | 0.134958i | ||||
\(803\) | 7.64276 | − | 4.41255i | 0.269707 | − | 0.155715i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −35.5441 | − | 4.88804i | −1.25276 | − | 0.172281i | ||||
\(806\) | −12.0976 | + | 30.3124i | −0.426118 | + | 1.06771i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.10552 | + | 55.3498i | −0.179612 | + | 1.94720i | ||||
\(809\) | 10.8693 | + | 6.27540i | 0.382144 | + | 0.220631i | 0.678751 | − | 0.734369i | \(-0.262522\pi\) |
−0.296606 | + | 0.955000i | \(0.595855\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.0857 | −0.424388 | −0.212194 | − | 0.977228i | \(-0.568061\pi\) | ||||
−0.212194 | + | 0.977228i | \(0.568061\pi\) | |||||||
\(812\) | 6.04340 | + | 7.55518i | 0.212082 | + | 0.265135i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.8735 | − | 2.29965i | 0.556366 | − | 0.0806028i | ||||
\(815\) | −18.5971 | + | 32.2112i | −0.651430 | + | 1.12831i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −31.9534 | + | 18.4483i | −1.11791 | + | 0.645425i | ||||
\(818\) | −3.20989 | + | 8.04291i | −0.112231 | + | 0.281214i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −17.5798 | + | 18.5166i | −0.613913 | + | 0.646627i | ||||
\(821\) | 15.2725 | + | 26.4527i | 0.533012 | + | 0.923204i | 0.999257 | + | 0.0385483i | \(0.0122734\pi\) |
−0.466245 | + | 0.884656i | \(0.654393\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.4306 | − | 18.0664i | 0.363589 | − | 0.629754i | −0.624960 | − | 0.780657i | \(-0.714885\pi\) |
0.988549 | + | 0.150903i | \(0.0482180\pi\) | |||||||
\(824\) | 20.8206 | + | 14.7255i | 0.725319 | + | 0.512987i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.51323 | − | 0.0253283i | 0.122241 | − | 0.000881283i | ||||
\(827\) | −50.1969 | −1.74552 | −0.872759 | − | 0.488151i | \(-0.837672\pi\) | ||||
−0.872759 | + | 0.488151i | \(0.837672\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.59915 | + | 16.6262i | −0.333392 | + | 0.577453i | −0.983175 | − | 0.182668i | \(-0.941527\pi\) |
0.649782 | + | 0.760120i | \(0.274860\pi\) | |||||||
\(830\) | 11.8161 | − | 9.31284i | 0.410144 | − | 0.323253i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.8238 | + | 22.0085i | −0.652596 | + | 0.763007i | ||||
\(833\) | −9.88008 | − | 38.6497i | −0.342325 | − | 1.33913i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 16.6173 | − | 9.59400i | 0.575065 | − | 0.332014i | ||||
\(836\) | 11.4883 | − | 3.40007i | 0.397332 | − | 0.117594i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.7317 | − | 2.42399i | 0.577988 | − | 0.0837352i | ||||
\(839\) | −9.77418 | −0.337442 | −0.168721 | − | 0.985664i | \(-0.553964\pi\) | ||||
−0.168721 | + | 0.985664i | \(0.553964\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.6570 | −0.884725 | ||||||||
\(842\) | −17.0214 | + | 2.46595i | −0.586596 | + | 0.0849823i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.1570 | + | 34.3189i | 0.349618 | + | 1.18131i | ||||
\(845\) | 0.333992 | − | 0.192830i | 0.0114897 | − | 0.00663357i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.7512 | − | 20.2842i | 0.541218 | − | 0.696975i | ||||
\(848\) | −1.17869 | − | 22.6940i | −0.0404764 | − | 0.779314i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 54.0769 | − | 42.6206i | 1.85482 | − | 1.46187i | ||||
\(851\) | −18.3751 | + | 31.8265i | −0.629889 | + | 1.09100i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 52.3052 | 1.79090 | 0.895449 | − | 0.445165i | \(-0.146855\pi\) | ||||
0.895449 | + | 0.445165i | \(0.146855\pi\) | |||||||
\(854\) | 12.9163 | + | 7.33360i | 0.441988 | + | 0.250951i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.5402 | + | 14.9030i | −0.360258 | + | 0.509374i | ||||
\(857\) | 19.5757 | − | 33.9062i | 0.668695 | − | 1.15821i | −0.309575 | − | 0.950875i | \(-0.600187\pi\) |
0.978269 | − | 0.207338i | \(-0.0664800\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.9471 | − | 41.4775i | −0.817063 | − | 1.41520i | −0.907837 | − | 0.419324i | \(-0.862267\pi\) |
0.0907734 | − | 0.995872i | \(-0.471066\pi\) | |||||||
\(860\) | 37.3869 | + | 35.4955i | 1.27488 | + | 1.21039i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11.8878 | − | 29.7868i | 0.404899 | − | 1.01454i | ||||
\(863\) | −19.8433 | + | 11.4565i | −0.675473 | + | 0.389985i | −0.798147 | − | 0.602462i | \(-0.794186\pi\) |
0.122674 | + | 0.992447i | \(0.460853\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.84760 | + | 11.8604i | −0.232825 | + | 0.403265i | ||||
\(866\) | 1.05637 | − | 0.153040i | 0.0358968 | − | 0.00520050i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.07718 | − | 33.3494i | −0.172331 | − | 1.13195i | ||||
\(869\) | 17.4739 | 0.592763 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.90232 | + | 4.56241i | 0.267760 | + | 0.154591i | ||||
\(872\) | −1.80139 | + | 19.5291i | −0.0610027 | + | 0.661340i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −10.1753 | + | 25.4959i | −0.344185 | + | 0.862413i | ||||
\(875\) | −31.9480 | + | 13.0181i | −1.08004 | + | 0.440091i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.9012 | + | 12.0673i | −0.705783 | + | 0.407484i | −0.809498 | − | 0.587123i | \(-0.800260\pi\) |
0.103715 | + | 0.994607i | \(0.466927\pi\) | |||||||
\(878\) | −16.4733 | − | 20.9014i | −0.555948 | − | 0.705387i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.11070 | − | 14.0436i | −0.307122 | − | 0.473411i | ||||
\(881\) | −49.8730 | −1.68026 | −0.840131 | − | 0.542383i | \(-0.817522\pi\) | ||||
−0.840131 | + | 0.542383i | \(0.817522\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 10.1798i | − | 0.342578i | −0.985221 | − | 0.171289i | \(-0.945207\pi\) | ||
0.985221 | − | 0.171289i | \(-0.0547932\pi\) | |||||||
\(884\) | 9.64156 | − | 40.1186i | 0.324281 | − | 1.34933i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.69009 | + | 6.06092i | −0.258354 | + | 0.203621i | ||||
\(887\) | 10.2756 | + | 17.7979i | 0.345022 | + | 0.597596i | 0.985358 | − | 0.170499i | \(-0.0545381\pi\) |
−0.640336 | + | 0.768095i | \(0.721205\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.15850 | + | 2.84311i | 0.0388549 | + | 0.0953549i | ||||
\(890\) | −4.02341 | + | 10.0813i | −0.134865 | + | 0.337927i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.716060 | − | 2.41946i | −0.0239755 | − | 0.0810094i | ||||
\(893\) | 21.0122 | − | 36.3942i | 0.703147 | − | 1.21789i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 97.0014i | 3.24240i | ||||||||
\(896\) | 5.26327 | − | 29.4669i | 0.175833 | − | 0.984420i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.378403 | − | 0.0548206i | 0.0126275 | − | 0.00182939i | ||||
\(899\) | −10.0944 | − | 5.82802i | −0.336668 | − | 0.194375i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.1882 | + | 28.0388i | 0.539307 | + | 0.934108i | ||||
\(902\) | −5.18158 | − | 2.06795i | −0.172528 | − | 0.0688550i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 46.0044 | − | 21.1887i | 1.53008 | − | 0.704727i | ||||
\(905\) | 15.6589 | − | 9.04070i | 0.520521 | − | 0.300523i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.1180 | + | 18.5433i | 1.06646 | + | 0.615721i | 0.927212 | − | 0.374537i | \(-0.122198\pi\) |
0.139248 | + | 0.990258i | \(0.455532\pi\) | |||||||
\(908\) | −1.44202 | − | 0.346556i | −0.0478552 | − | 0.0115009i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24.6116 | + | 43.3473i | −0.815868 | + | 1.43695i | ||||
\(911\) | 9.53166i | 0.315798i | 0.987455 | + | 0.157899i | \(0.0504720\pi\) | ||||
−0.987455 | + | 0.157899i | \(0.949528\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.84696 | + | 1.64369i | 0.0942207 | + | 0.0543984i | ||||
\(914\) | −4.25514 | + | 3.35368i | −0.140748 | + | 0.110930i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.4059 | − | 12.7277i | −0.442943 | − | 0.420534i | ||||
\(917\) | −24.7462 | − | 19.2161i | −0.817193 | − | 0.634571i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.0199 | + | 22.5511i | 0.429487 | + | 0.743894i | 0.996828 | − | 0.0795896i | \(-0.0253610\pi\) |
−0.567340 | + | 0.823483i | \(0.692028\pi\) | |||||||
\(920\) | 38.1937 | + | 3.52303i | 1.25921 | + | 0.116151i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −21.6746 | + | 3.14008i | −0.713815 | + | 0.103413i | ||||
\(923\) | 50.7146i | 1.66929i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 85.2022i | 2.80143i | ||||||||
\(926\) | 1.32177 | + | 9.12361i | 0.0434361 | + | 0.299820i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.81499 | − | 7.78018i | −0.223713 | − | 0.255397i | ||||
\(929\) | −16.7273 | − | 28.9725i | −0.548804 | − | 0.950556i | −0.998357 | − | 0.0573025i | \(-0.981750\pi\) |
0.449553 | − | 0.893254i | \(-0.351583\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 35.5052 | + | 9.95365i | 1.16364 | + | 0.326218i | ||||
\(932\) | 0.673215 | − | 0.709088i | 0.0220519 | − | 0.0232270i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −19.3155 | − | 24.5074i | −0.632021 | − | 0.801908i | ||||
\(935\) | 20.6548 | + | 11.9250i | 0.675483 | + | 0.389991i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 18.9751i | − | 0.619890i | −0.950754 | − | 0.309945i | \(-0.899689\pi\) | ||
0.950754 | − | 0.309945i | \(-0.100311\pi\) | |||||||
\(938\) | −9.43108 | + | 0.0679923i | −0.307936 | + | 0.00222003i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −57.0921 | − | 13.7207i | −1.86214 | − | 0.447521i | ||||
\(941\) | −3.97034 | − | 2.29228i | −0.129429 | − | 0.0747261i | 0.433887 | − | 0.900967i | \(-0.357142\pi\) |
−0.563317 | + | 0.826241i | \(0.690475\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.0704 | − | 6.39148i | 0.360501 | − | 0.208135i | ||||
\(944\) | −3.75085 | + | 0.194813i | −0.122080 | + | 0.00634063i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.17540 | + | 10.4622i | −0.135754 | + | 0.340154i | ||||
\(947\) | −7.53547 | − | 13.0518i | −0.244870 | − | 0.424127i | 0.717225 | − | 0.696842i | \(-0.245412\pi\) |
−0.962095 | + | 0.272714i | \(0.912079\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 24.3293 | + | 14.0465i | 0.789761 | + | 0.455969i | ||||
\(950\) | 9.12505 | + | 62.9863i | 0.296056 | + | 2.04355i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 12.3973 | + | 40.8052i | 0.401799 | + | 1.32250i | ||||
\(953\) | − | 1.61355i | − | 0.0522679i | −0.999658 | − | 0.0261339i | \(-0.991680\pi\) | ||
0.999658 | − | 0.0261339i | \(-0.00831964\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.2576 | + | 19.4988i | −0.364289 | + | 0.630966i | ||||
\(956\) | −0.772251 | − | 2.60932i | −0.0249764 | − | 0.0843914i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 15.7005 | + | 6.26600i | 0.507261 | + | 0.202445i | ||||
\(959\) | 1.39887 | − | 10.1720i | 0.0451718 | − | 0.328473i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.82071 | + | 8.34972i | 0.155507 | + | 0.269346i | ||||
\(962\) | 31.6049 | + | 40.1003i | 1.01898 | + | 1.29288i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.634396 | − | 0.152462i | −0.0204325 | − | 0.00491047i | ||||
\(965\) | 68.0957i | 2.19208i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 50.2361 | 1.61548 | 0.807742 | − | 0.589536i | \(-0.200689\pi\) | ||||
0.807742 | + | 0.589536i | \(0.200689\pi\) | |||||||
\(968\) | −15.8533 | + | 22.4153i | −0.509546 | + | 0.720454i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −42.4692 | + | 33.4720i | −1.36360 | + | 1.07472i | ||||
\(971\) | −19.2190 | + | 11.0961i | −0.616767 | + | 0.356091i | −0.775609 | − | 0.631213i | \(-0.782557\pi\) |
0.158842 | + | 0.987304i | \(0.449224\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.62271 | + | 18.7071i | 0.244373 | + | 0.599722i | ||||
\(974\) | −2.97951 | − | 1.18911i | −0.0954695 | − | 0.0381014i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.1446 | − | 7.21535i | −0.452756 | − | 0.230958i | ||||
\(977\) | 1.72372 | + | 0.995188i | 0.0551466 | + | 0.0318389i | 0.527320 | − | 0.849667i | \(-0.323197\pi\) |
−0.472173 | + | 0.881506i | \(0.656530\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.37177 | −0.0758022 | ||||||||
\(980\) | −0.742838 | − | 51.5161i | −0.0237291 | − | 1.64562i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.06490 | + | 21.1557i | 0.0978049 | + | 0.675105i | ||||
\(983\) | 28.8788 | − | 50.0195i | 0.921089 | − | 1.59537i | 0.123356 | − | 0.992362i | \(-0.460634\pi\) |
0.797733 | − | 0.603011i | \(-0.206032\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.55568 | − | 5.51698i | 0.304469 | − | 0.175785i | ||||
\(986\) | 13.6862 | + | 5.46208i | 0.435856 | + | 0.173948i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 27.6588 | + | 26.2596i | 0.879945 | + | 0.835428i | ||||
\(989\) | −12.9051 | − | 22.3522i | −0.410357 | − | 0.710760i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −28.6512 | + | 49.6252i | −0.910134 | + | 1.57640i | −0.0962601 | + | 0.995356i | \(0.530688\pi\) |
−0.813874 | + | 0.581042i | \(0.802645\pi\) | |||||||
\(992\) | 7.01481 | + | 35.3740i | 0.222720 | + | 1.12312i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −26.5357 | − | 45.2053i | −0.841660 | − | 1.43383i | ||||
\(995\) | −5.42727 | −0.172056 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.3607 | + | 17.9452i | −0.328125 | + | 0.568330i | −0.982140 | − | 0.188152i | \(-0.939750\pi\) |
0.654015 | + | 0.756482i | \(0.273083\pi\) | |||||||
\(998\) | 37.5223 | + | 47.6082i | 1.18775 | + | 1.50701i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 504.2.ch.b.269.12 | yes | 56 | |
3.2 | odd | 2 | inner | 504.2.ch.b.269.17 | yes | 56 | |
4.3 | odd | 2 | 2016.2.cp.b.17.28 | 56 | |||
7.5 | odd | 6 | inner | 504.2.ch.b.341.6 | yes | 56 | |
8.3 | odd | 2 | 2016.2.cp.b.17.1 | 56 | |||
8.5 | even | 2 | inner | 504.2.ch.b.269.23 | yes | 56 | |
12.11 | even | 2 | 2016.2.cp.b.17.2 | 56 | |||
21.5 | even | 6 | inner | 504.2.ch.b.341.23 | yes | 56 | |
24.5 | odd | 2 | inner | 504.2.ch.b.269.6 | ✓ | 56 | |
24.11 | even | 2 | 2016.2.cp.b.17.27 | 56 | |||
28.19 | even | 6 | 2016.2.cp.b.593.27 | 56 | |||
56.5 | odd | 6 | inner | 504.2.ch.b.341.17 | yes | 56 | |
56.19 | even | 6 | 2016.2.cp.b.593.2 | 56 | |||
84.47 | odd | 6 | 2016.2.cp.b.593.1 | 56 | |||
168.5 | even | 6 | inner | 504.2.ch.b.341.12 | yes | 56 | |
168.131 | odd | 6 | 2016.2.cp.b.593.28 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.ch.b.269.6 | ✓ | 56 | 24.5 | odd | 2 | inner | |
504.2.ch.b.269.12 | yes | 56 | 1.1 | even | 1 | trivial | |
504.2.ch.b.269.17 | yes | 56 | 3.2 | odd | 2 | inner | |
504.2.ch.b.269.23 | yes | 56 | 8.5 | even | 2 | inner | |
504.2.ch.b.341.6 | yes | 56 | 7.5 | odd | 6 | inner | |
504.2.ch.b.341.12 | yes | 56 | 168.5 | even | 6 | inner | |
504.2.ch.b.341.17 | yes | 56 | 56.5 | odd | 6 | inner | |
504.2.ch.b.341.23 | yes | 56 | 21.5 | even | 6 | inner | |
2016.2.cp.b.17.1 | 56 | 8.3 | odd | 2 | |||
2016.2.cp.b.17.2 | 56 | 12.11 | even | 2 | |||
2016.2.cp.b.17.27 | 56 | 24.11 | even | 2 | |||
2016.2.cp.b.17.28 | 56 | 4.3 | odd | 2 | |||
2016.2.cp.b.593.1 | 56 | 84.47 | odd | 6 | |||
2016.2.cp.b.593.2 | 56 | 56.19 | even | 6 | |||
2016.2.cp.b.593.27 | 56 | 28.19 | even | 6 | |||
2016.2.cp.b.593.28 | 56 | 168.131 | odd | 6 |