Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [896,2,Mod(81,896)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(896, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("896.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 896 = 2^{7} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 896.bh (of order \(24\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.15459602111\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 224) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 81.17 | ||
Character | \(\chi\) | \(=\) | 896.81 |
Dual form | 896.2.bh.a.177.17 |
$q$-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 \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(645\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{8}\right)\) |
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 | ||||||||
\(3\) | 0.360007 | − | 0.276243i | 0.207850 | − | 0.159489i | −0.499591 | − | 0.866262i | \(-0.666516\pi\) |
0.707441 | + | 0.706773i | \(0.249850\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.0970846 | − | 0.126523i | 0.0434175 | − | 0.0565829i | −0.771140 | − | 0.636666i | \(-0.780313\pi\) |
0.814558 | + | 0.580083i | \(0.196980\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.18584 | − | 1.49067i | −0.826171 | − | 0.563419i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.723162 | + | 2.69888i | −0.241054 | + | 0.899626i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0199338 | + | 0.151412i | −0.00601027 | + | 0.0456525i | −0.994187 | − | 0.107665i | \(-0.965663\pi\) |
0.988177 | + | 0.153318i | \(0.0489958\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.07041 | + | 4.99842i | −0.574229 | + | 1.38631i | 0.323695 | + | 0.946162i | \(0.395075\pi\) |
−0.897924 | + | 0.440151i | \(0.854925\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 0.0723681i | − | 0.0186854i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.65868 | + | 0.957641i | 0.402290 | + | 0.232262i | 0.687471 | − | 0.726211i | \(-0.258721\pi\) |
−0.285182 | + | 0.958473i | \(0.592054\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.10766 | − | 0.145826i | 0.254113 | − | 0.0334547i | −0.00239318 | − | 0.999997i | \(-0.500762\pi\) |
0.256507 | + | 0.966542i | \(0.417428\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.19870 | + | 0.0671739i | −0.261579 | + | 0.0146585i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.51595 | + | 5.65760i | −0.316097 | + | 1.17969i | 0.606867 | + | 0.794804i | \(0.292426\pi\) |
−0.922964 | + | 0.384887i | \(0.874240\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.28751 | + | 4.80506i | 0.257503 | + | 0.961012i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00616 | + | 2.42909i | 0.193636 | + | 0.467479i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.98245 | + | 0.821158i | 0.368132 | + | 0.152485i | 0.559077 | − | 0.829115i | \(-0.311155\pi\) |
−0.190946 | + | 0.981601i | \(0.561155\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.46735 | − | 2.54152i | 0.263544 | − | 0.456471i | −0.703637 | − | 0.710559i | \(-0.748442\pi\) |
0.967181 | + | 0.254088i | \(0.0817754\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.0346503 | + | 0.0600160i | 0.00603184 | + | 0.0104474i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.400816 | + | 0.131839i | −0.0677502 | + | 0.0222849i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.11464 | − | 1.45263i | 0.183246 | − | 0.238811i | −0.692693 | − | 0.721232i | \(-0.743576\pi\) |
0.875939 | + | 0.482422i | \(0.160243\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.635415 | + | 2.37140i | 0.101748 | + | 0.379728i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.80184 | + | 3.80184i | 0.593748 | + | 0.593748i | 0.938642 | − | 0.344894i | \(-0.112085\pi\) |
−0.344894 | + | 0.938642i | \(0.612085\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.423050 | − | 0.175233i | 0.0645145 | − | 0.0267228i | −0.350193 | − | 0.936678i | \(-0.613884\pi\) |
0.414707 | + | 0.909955i | \(0.363884\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.271263 | + | 0.353516i | 0.0404374 | + | 0.0526991i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.58989 | + | 4.38203i | −1.10710 | + | 0.639184i | −0.938077 | − | 0.346428i | \(-0.887395\pi\) |
−0.169023 | + | 0.985612i | \(0.554061\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.55583 | + | 6.51673i | 0.365118 | + | 0.930961i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.861678 | − | 0.113442i | 0.120659 | − | 0.0158851i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.30273 | − | 9.89522i | 0.178944 | − | 1.35921i | −0.632399 | − | 0.774643i | \(-0.717930\pi\) |
0.811343 | − | 0.584571i | \(-0.198737\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0172219 | + | 0.0172219i | 0.00232220 | + | 0.00232220i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.358480 | − | 0.358480i | 0.0474818 | − | 0.0474818i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 10.7606 | + | 1.41667i | 1.40092 | + | 0.184434i | 0.792833 | − | 0.609439i | \(-0.208605\pi\) |
0.608083 | + | 0.793873i | \(0.291939\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.31206 | − | 9.96606i | −0.167992 | − | 1.27602i | −0.842880 | − | 0.538102i | \(-0.819141\pi\) |
0.674888 | − | 0.737920i | \(-0.264192\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.60385 | − | 4.82133i | 0.706019 | − | 0.607431i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.431410 | + | 0.747225i | 0.0535099 | + | 0.0926818i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.98075 | + | 6.12384i | −0.975004 | + | 0.748147i | −0.967772 | − | 0.251827i | \(-0.918969\pi\) |
−0.00723138 | + | 0.999974i | \(0.502302\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.01712 | + | 2.45554i | 0.122447 | + | 0.295613i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.25562 | + | 9.25562i | −1.09844 | + | 1.09844i | −0.103847 | + | 0.994593i | \(0.533115\pi\) |
−0.994593 | + | 0.103847i | \(0.966885\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −13.3187 | + | 3.56873i | −1.55883 | + | 0.417688i | −0.932294 | − | 0.361701i | \(-0.882196\pi\) |
−0.626540 | + | 0.779389i | \(0.715529\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.79088 | + | 1.37419i | 0.206793 | + | 0.158678i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.269277 | − | 0.301249i | 0.0306870 | − | 0.0343305i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.28306 | + | 4.20487i | −0.819408 | + | 0.473085i | −0.850212 | − | 0.526440i | \(-0.823526\pi\) |
0.0308045 | + | 0.999525i | \(0.490193\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.22600 | − | 3.59458i | −0.691778 | − | 0.399398i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.14890 | − | 2.77370i | 0.126108 | − | 0.304453i | −0.848198 | − | 0.529679i | \(-0.822312\pi\) |
0.974306 | + | 0.225227i | \(0.0723123\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.282196 | − | 0.116889i | 0.0306085 | − | 0.0126784i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.940534 | − | 0.252015i | 0.100836 | − | 0.0270189i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.998840 | + | 0.267638i | 0.105877 | + | 0.0283696i | 0.311368 | − | 0.950289i | \(-0.399213\pi\) |
−0.205492 | + | 0.978659i | \(0.565879\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.9766 | − | 7.83947i | 1.25549 | − | 0.821800i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.173822 | − | 1.32031i | −0.0180245 | − | 0.136910i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.0890859 | − | 0.154301i | 0.00914002 | − | 0.0158310i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.3695 | 1.25593 | 0.627965 | − | 0.778242i | \(-0.283888\pi\) | ||||
0.627965 | + | 0.778242i | \(0.283888\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.394228 | − | 0.163295i | −0.0396214 | − | 0.0164117i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −15.8675 | − | 2.08899i | −1.57887 | − | 0.207862i | −0.710471 | − | 0.703726i | \(-0.751518\pi\) |
−0.868400 | + | 0.495864i | \(0.834851\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.6282 | + | 3.38372i | 1.24429 | + | 0.333408i | 0.820130 | − | 0.572177i | \(-0.193901\pi\) |
0.424165 | + | 0.905585i | \(0.360568\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.107877 | + | 0.158185i | −0.0105277 | + | 0.0154373i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.21518 | + | 2.46710i | 0.310824 | + | 0.238503i | 0.752379 | − | 0.658731i | \(-0.228906\pi\) |
−0.441555 | + | 0.897234i | \(0.645573\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.73265 | + | 10.0774i | 0.740654 | + | 0.965239i | 1.00000 | 0.000545510i | \(-0.000173641\pi\) | |
−0.259346 | + | 0.965784i | \(0.583507\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 0.830868i | − | 0.0788625i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 3.79905i | − | 0.357385i | −0.983905 | − | 0.178692i | \(-0.942813\pi\) | ||
0.983905 | − | 0.178692i | \(-0.0571867\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.568642 | + | 0.741068i | 0.0530261 | + | 0.0691050i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −11.9929 | − | 9.20246i | −1.10874 | − | 0.850768i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.19810 | − | 4.56580i | −0.201499 | − | 0.418546i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.6027 | + | 2.84097i | 0.963878 | + | 0.258270i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.41892 | + | 0.318457i | 0.218107 | + | 0.0287143i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.46965 | + | 0.608747i | 0.131449 | + | 0.0544480i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.560714 | 0.0497553 | 0.0248777 | − | 0.999691i | \(-0.492080\pi\) | ||||
0.0248777 | + | 0.999691i | \(0.492080\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.103894 | − | 0.179950i | 0.00914735 | − | 0.0158437i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.16060 | − | 16.4114i | −0.188773 | − | 1.43387i | −0.779197 | − | 0.626779i | \(-0.784373\pi\) |
0.590424 | − | 0.807093i | \(-0.298961\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.63854 | − | 1.33239i | −0.228790 | − | 0.115533i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.405019 | + | 0.108525i | 0.0348585 | + | 0.00934031i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.0392 | + | 2.69000i | −0.857709 | + | 0.229823i | −0.660766 | − | 0.750592i | \(-0.729768\pi\) |
−0.196944 | + | 0.980415i | \(0.563102\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.82964 | − | 1.58629i | 0.324826 | − | 0.134547i | −0.214311 | − | 0.976766i | \(-0.568751\pi\) |
0.539137 | + | 0.842218i | \(0.318751\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.52191 | + | 3.67421i | −0.128168 | + | 0.309425i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.715551 | − | 0.413123i | −0.0598374 | − | 0.0345471i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.296361 | − | 0.171104i | 0.0246114 | − | 0.0142094i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.72032 | + | 1.64004i | 0.224368 | + | 0.135268i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.93679 | − | 1.48615i | −0.158668 | − | 0.121750i | 0.526376 | − | 0.850252i | \(-0.323550\pi\) |
−0.685044 | + | 0.728502i | \(0.740217\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.7305 | + | 3.14318i | −0.954614 | + | 0.255788i | −0.702319 | − | 0.711862i | \(-0.747852\pi\) |
−0.252295 | + | 0.967650i | \(0.581185\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.78405 | + | 3.78405i | −0.305923 | + | 0.305923i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.179104 | − | 0.432396i | −0.0143860 | − | 0.0347309i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.145265 | + | 0.111466i | −0.0115934 | + | 0.00889592i | −0.614542 | − | 0.788884i | \(-0.710659\pi\) |
0.602948 | + | 0.797780i | \(0.293992\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.26449 | − | 3.92222i | −0.179586 | − | 0.311052i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.7472 | − | 10.1069i | 0.925811 | − | 0.796532i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.27833 | + | 9.70988i | 0.100127 | + | 0.760536i | 0.965683 | + | 0.259725i | \(0.0836318\pi\) |
−0.865556 | + | 0.500812i | \(0.833035\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.0109574 | + | 0.00144257i | 0.000853034 | + | 0.000112304i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −5.34878 | + | 5.34878i | −0.413901 | + | 0.413901i | −0.883095 | − | 0.469194i | \(-0.844545\pi\) |
0.469194 | + | 0.883095i | \(0.344545\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.5052 | − | 11.5052i | −0.885015 | − | 0.885015i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.407449 | + | 3.09488i | −0.0311584 | + | 0.236672i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 11.1584 | − | 1.46903i | 0.848354 | − | 0.111688i | 0.306200 | − | 0.951967i | \(-0.400942\pi\) |
0.542154 | + | 0.840279i | \(0.317609\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.34844 | − | 12.4224i | 0.328711 | − | 0.939043i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.26525 | − | 2.46254i | 0.320596 | − | 0.185096i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.58636 | − | 12.4932i | −0.716518 | − | 0.933785i | 0.283162 | − | 0.959072i | \(-0.408617\pi\) |
−0.999680 | + | 0.0252874i | \(0.991950\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.5983 | − | 7.70368i | 1.38240 | − | 0.572610i | 0.437280 | − | 0.899326i | \(-0.355942\pi\) |
0.945123 | + | 0.326716i | \(0.105942\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.22540 | − | 3.22540i | −0.238429 | − | 0.238429i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.0755766 | − | 0.282056i | −0.00555650 | − | 0.0207371i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.178062 | + | 0.232055i | −0.0130212 | + | 0.0169696i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.42165 | − | 6.80947i | 0.103410 | − | 0.495316i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.41793 | − | 7.65208i | −0.319670 | − | 0.553685i | 0.660749 | − | 0.750607i | \(-0.270239\pi\) |
−0.980419 | + | 0.196922i | \(0.936906\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0958006 | − | 0.165931i | 0.00689588 | − | 0.0119440i | −0.862557 | − | 0.505960i | \(-0.831138\pi\) |
0.869453 | + | 0.494016i | \(0.164472\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.361726 | + | 0.149832i | 0.0259037 | + | 0.0107297i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.04265 | − | 12.1740i | −0.359274 | − | 0.867364i | −0.995402 | − | 0.0957810i | \(-0.969465\pi\) |
0.636128 | − | 0.771583i | \(-0.280535\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.76239 | − | 6.57734i | −0.124933 | − | 0.466255i | 0.874905 | − | 0.484295i | \(-0.160924\pi\) |
−0.999837 | + | 0.0180402i | \(0.994257\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.18146 | + | 4.40925i | −0.0833334 | + | 0.311005i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.10925 | − | 4.75009i | −0.218227 | − | 0.333391i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.850121 | − | 0.111921i | 0.0593750 | − | 0.00781687i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −14.1729 | − | 8.18272i | −0.985084 | − | 0.568739i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.170619i | 0.0118020i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.79848 | − | 21.2414i | 0.605712 | − | 1.46232i | −0.261909 | − | 0.965093i | \(-0.584352\pi\) |
0.867621 | − | 0.497226i | \(-0.165648\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.775287 | + | 5.88889i | −0.0531218 | + | 0.403500i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0189006 | − | 0.0705380i | 0.00128901 | − | 0.00481065i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.99596 | + | 3.36804i | −0.474917 | + | 0.228638i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.80898 | + | 4.96396i | −0.257387 | + | 0.335433i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.22085 | + | 6.30808i | −0.552994 | + | 0.424327i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.4565 | 1.50380 | 0.751900 | − | 0.659277i | \(-0.229138\pi\) | ||||
0.751900 | + | 0.659277i | \(0.229138\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −13.8994 | −0.926624 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −19.9669 | + | 15.3211i | −1.32525 | + | 1.01690i | −0.327857 | + | 0.944727i | \(0.606326\pi\) |
−0.997392 | + | 0.0721720i | \(0.977007\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.5273 | − | 17.6291i | 0.893907 | − | 1.16496i | −0.0916796 | − | 0.995789i | \(-0.529224\pi\) |
0.985586 | − | 0.169173i | \(-0.0541098\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.0137238 | − | 0.182838i | 0.000902959 | − | 0.0120298i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.46679 | − | 9.20620i | 0.161605 | − | 0.603118i | −0.836844 | − | 0.547442i | \(-0.815602\pi\) |
0.998449 | − | 0.0556765i | \(-0.0177315\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.182434 | + | 1.38572i | −0.0119007 | + | 0.0903947i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.46038 | + | 3.52568i | −0.0948620 | + | 0.229017i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 4.53077i | − | 0.293071i | −0.989205 | − | 0.146536i | \(-0.953188\pi\) | ||
0.989205 | − | 0.146536i | \(-0.0468123\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.2231 | + | 10.5211i | 1.17385 | + | 0.677725i | 0.954585 | − | 0.297939i | \(-0.0962992\pi\) |
0.219270 | + | 0.975664i | \(0.429633\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.0546 | + | 1.45537i | −0.709153 | + | 0.0933617i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.07265 | + | 0.309303i | 0.0685290 | + | 0.0197606i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.56441 | + | 5.83844i | −0.0995408 | + | 0.371491i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.352601 | − | 1.31593i | −0.0223452 | − | 0.0833934i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.89265 | − | 6.98346i | −0.182582 | − | 0.440792i | 0.805915 | − | 0.592031i | \(-0.201674\pi\) |
−0.988497 | + | 0.151239i | \(0.951674\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.826411 | − | 0.342311i | −0.0519560 | − | 0.0215209i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0693026 | − | 0.120036i | 0.00433990 | − | 0.00751693i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.15637 | − | 2.00290i | −0.0721325 | − | 0.124937i | 0.827703 | − | 0.561166i | \(-0.189647\pi\) |
−0.899836 | + | 0.436229i | \(0.856314\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.60181 | + | 1.51366i | −0.285943 | + | 0.0940543i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.64984 | + | 4.75656i | −0.225919 | + | 0.294424i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.14514 | + | 19.2019i | 0.317263 | + | 1.18404i | 0.921864 | + | 0.387513i | \(0.126666\pi\) |
−0.604601 | + | 0.796528i | \(0.706668\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.12550 | − | 1.12550i | −0.0691389 | − | 0.0691389i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.433523 | − | 0.179571i | 0.0265311 | − | 0.0109896i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.27198 | − | 1.65768i | −0.0775540 | − | 0.101070i | 0.752965 | − | 0.658060i | \(-0.228623\pi\) |
−0.830519 | + | 0.556990i | \(0.811956\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.0616 | − | 16.2014i | 1.70462 | − | 0.984164i | 0.763680 | − | 0.645595i | \(-0.223391\pi\) |
0.940942 | − | 0.338569i | \(-0.109943\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.14605 | − | 6.13071i | 0.129885 | − | 0.371047i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.753210 | + | 0.0991620i | −0.0454203 | + | 0.00597970i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.78623 | + | 13.5678i | −0.107324 | + | 0.815208i | 0.850120 | + | 0.526589i | \(0.176529\pi\) |
−0.957444 | + | 0.288619i | \(0.906804\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.79813 | + | 5.79813i | 0.347125 | + | 0.347125i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.35616 | − | 1.35616i | 0.0809019 | − | 0.0809019i | −0.665498 | − | 0.746400i | \(-0.731781\pi\) |
0.746400 | + | 0.665498i | \(0.231781\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.4293 | + | 2.29461i | 1.03606 | + | 0.136400i | 0.629324 | − | 0.777143i | \(-0.283332\pi\) |
0.406741 | + | 0.913544i | \(0.366665\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.0105531 | − | 0.0801589i | −0.000625113 | − | 0.00474820i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.64296 | − | 13.9775i | −0.156009 | − | 0.825066i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.66585 | − | 11.5456i | −0.392109 | − | 0.679152i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.45310 | − | 3.41698i | 0.261045 | − | 0.200307i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.33024 | + | 22.5252i | 0.545078 | + | 1.31594i | 0.921101 | + | 0.389325i | \(0.127292\pi\) |
−0.376022 | + | 0.926611i | \(0.622708\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.22393 | − | 1.22393i | 0.0712602 | − | 0.0712602i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.387851 | + | 0.103924i | −0.0225054 | + | 0.00603031i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −25.1404 | − | 19.2909i | −1.45391 | − | 1.11562i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.18593 | − | 0.247594i | −0.0683561 | − | 0.0142711i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.28946 | + | 3.63122i | −0.361320 | + | 0.208608i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.38832 | − | 0.801545i | −0.0794948 | − | 0.0458963i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0775174 | − | 0.187144i | 0.00442415 | − | 0.0106809i | −0.921652 | − | 0.388017i | \(-0.873160\pi\) |
0.926076 | + | 0.377337i | \(0.123160\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.48097 | − | 2.27029i | 0.311801 | − | 0.129152i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.74405 | − | 1.53911i | 0.325715 | − | 0.0872751i | −0.0922563 | − | 0.995735i | \(-0.529408\pi\) |
0.417971 | + | 0.908460i | \(0.362741\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.22894 | + | 1.93699i | 0.408604 | + | 0.109485i | 0.457265 | − | 0.889330i | \(-0.348829\pi\) |
−0.0486618 | + | 0.998815i | \(0.515496\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0659628 | − | 1.17709i | −0.00371658 | − | 0.0663217i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.83886 | + | 29.1590i | 0.215612 | + | 1.63773i | 0.666751 | + | 0.745281i | \(0.267685\pi\) |
−0.451139 | + | 0.892454i | \(0.648982\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.163851 | + | 0.283798i | −0.00917390 | + | 0.0158897i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.83901 | 0.102643 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.97690 | + | 0.818857i | 0.109997 | + | 0.0455624i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −26.6834 | − | 3.51294i | −1.48013 | − | 0.194863i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.56762 | + | 1.49184i | 0.307890 | + | 0.0824988i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 23.1225 | + | 1.73557i | 1.27478 | + | 0.0956852i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.03896 | + | 4.63386i | 0.331931 | + | 0.254700i | 0.761258 | − | 0.648450i | \(-0.224582\pi\) |
−0.429326 | + | 0.903149i | \(0.641249\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.11440 | + | 4.05877i | 0.170668 | + | 0.222419i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.60428i | 0.0876512i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 7.70471i | − | 0.419703i | −0.977733 | − | 0.209851i | \(-0.932702\pi\) | ||
0.977733 | − | 0.209851i | \(-0.0672980\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.04946 | − | 1.36769i | −0.0569989 | − | 0.0742825i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.355568 | + | 0.272837i | 0.0192551 | + | 0.0147749i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.12763 | − | 18.0544i | 0.222871 | − | 0.974848i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.409430 | + | 0.109706i | 0.0220430 | + | 0.00590639i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −25.0665 | − | 3.30007i | −1.34564 | − | 0.177157i | −0.576951 | − | 0.816779i | \(-0.695758\pi\) |
−0.768690 | + | 0.639621i | \(0.779091\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.5757 | + | 5.20902i | 0.673162 | + | 0.278833i | 0.692965 | − | 0.720971i | \(-0.256304\pi\) |
−0.0198034 | + | 0.999804i | \(0.506304\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.2248 | −0.759264 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.8665 | − | 27.4816i | 0.844489 | − | 1.46270i | −0.0415755 | − | 0.999135i | \(-0.513238\pi\) |
0.886064 | − | 0.463562i | \(-0.153429\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.272472 | + | 2.06963i | 0.0144613 | + | 0.109844i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.05260 | − | 1.03651i | −0.108635 | − | 0.0548578i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 18.9545 | + | 5.07883i | 1.00038 | + | 0.268051i | 0.721604 | − | 0.692306i | \(-0.243405\pi\) |
0.278774 | + | 0.960357i | \(0.410072\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.1470 | + | 4.59451i | −0.902471 | + | 0.241816i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.60183 | − | 1.90614i | 0.241533 | − | 0.100046i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.841512 | + | 2.03159i | −0.0440468 | + | 0.106338i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.78068 | + | 2.18278i | 0.197350 | + | 0.113940i | 0.595419 | − | 0.803416i | \(-0.296986\pi\) |
−0.398069 | + | 0.917356i | \(0.630320\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −13.0101 | + | 7.51136i | −0.677277 | + | 0.391026i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −17.5980 | + | 19.6875i | −0.913645 | + | 1.02212i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.234375 | + | 0.179843i | 0.0121355 | + | 0.00931189i | 0.614811 | − | 0.788674i | \(-0.289232\pi\) |
−0.602676 | + | 0.797986i | \(0.705899\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.697244 | − | 0.186826i | 0.0360055 | − | 0.00964766i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −8.20898 | + | 8.20898i | −0.422784 | + | 0.422784i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.3097 | + | 29.7181i | 0.632304 | + | 1.52652i | 0.836719 | + | 0.547633i | \(0.184471\pi\) |
−0.204414 | + | 0.978884i | \(0.565529\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.201861 | − | 0.154893i | 0.0103416 | − | 0.00793543i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.98813 | + | 8.63970i | 0.254882 | + | 0.441468i | 0.964863 | − | 0.262752i | \(-0.0846301\pi\) |
−0.709982 | + | 0.704220i | \(0.751297\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0119723 | − | 0.0633164i | −0.000610163 | − | 0.00322690i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.166999 | + | 1.26848i | 0.00848903 | + | 0.0644806i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −17.5831 | − | 2.31486i | −0.891497 | − | 0.117368i | −0.329158 | − | 0.944275i | \(-0.606765\pi\) |
−0.562339 | + | 0.826907i | \(0.690098\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.93242 | + | 7.93242i | −0.401160 | + | 0.401160i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.31137 | − | 5.31137i | −0.267923 | − | 0.267923i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.175059 | + | 1.32970i | −0.00880816 | + | 0.0669046i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.8133 | − | 1.42360i | 0.542705 | − | 0.0714485i | 0.145810 | − | 0.989313i | \(-0.453421\pi\) |
0.396895 | + | 0.917864i | \(0.370088\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.31796 | + | 0.249207i | −0.0659803 | + | 0.0124760i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.0182 | + | 13.2896i | −1.14947 | + | 0.663649i | −0.948759 | − | 0.316001i | \(-0.897660\pi\) |
−0.200715 | + | 0.979650i | \(0.564326\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.66558 | + | 12.5964i | 0.481477 | + | 0.627473i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.05925 | + | 0.438754i | −0.0526344 | + | 0.0218019i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.197727 | + | 0.197727i | 0.00980095 | + | 0.00980095i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.83984 | − | 21.7946i | −0.288761 | − | 1.07767i | −0.946047 | − | 0.324030i | \(-0.894962\pi\) |
0.657285 | − | 0.753642i | \(-0.271705\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.87110 | + | 3.74169i | −0.141621 | + | 0.184564i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −21.4093 | − | 19.1371i | −1.05348 | − | 0.941677i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.239396 | − | 0.414646i | −0.0117515 | − | 0.0203542i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.940496 | − | 1.62899i | 0.0460563 | − | 0.0797718i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 37.1232 | + | 15.3769i | 1.81358 | + | 0.751211i | 0.980052 | + | 0.198741i | \(0.0636853\pi\) |
0.833533 | + | 0.552470i | \(0.186315\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.3295 | + | 32.1802i | 0.649640 | + | 1.56837i | 0.813295 | + | 0.581851i | \(0.197671\pi\) |
−0.163656 | + | 0.986518i | \(0.552329\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.33784 | − | 23.6531i | −0.308156 | − | 1.15005i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.46595 | + | 9.20305i | −0.119616 | + | 0.446413i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.9881 | + | 23.7401i | −0.580145 | + | 1.14886i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.371726 | + | 0.0489386i | −0.0179471 | + | 0.00236278i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.9058 | + | 10.9153i | 0.910661 | + | 0.525770i | 0.880644 | − | 0.473779i | \(-0.157110\pi\) |
0.0300172 | + | 0.999549i | \(0.490444\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.08162i | 0.244207i | 0.992517 | + | 0.122104i | \(0.0389640\pi\) | ||||
−0.992517 | + | 0.122104i | \(0.961036\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0594256 | − | 0.143466i | 0.00284924 | − | 0.00687867i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.854126 | + | 6.48773i | −0.0408584 | + | 0.310350i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.88370 | − | 18.2262i | 0.233087 | − | 0.869891i | −0.745916 | − | 0.666041i | \(-0.767988\pi\) |
0.979002 | − | 0.203850i | \(-0.0653456\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.4361 | + | 2.18522i | −0.925530 | + | 0.104058i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.47340 | + | 12.3460i | −0.450095 | + | 0.586575i | −0.962199 | − | 0.272348i | \(-0.912200\pi\) |
0.512104 | + | 0.858924i | \(0.328866\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.130834 | − | 0.100393i | 0.00620215 | − | 0.00475908i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.10780 | −0.0523969 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.6746 | −0.928500 | −0.464250 | − | 0.885704i | \(-0.653676\pi\) | ||||
−0.464250 | + | 0.885704i | \(0.653676\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.651431 | + | 0.499860i | −0.0306747 | + | 0.0235375i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3.35478 | + | 4.37203i | −0.157621 | + | 0.205416i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.170867 | − | 2.27641i | 0.00801037 | − | 0.106720i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.03318 | − | 22.5161i | 0.282220 | − | 1.05326i | −0.668626 | − | 0.743599i | \(-0.733117\pi\) |
0.950847 | − | 0.309662i | \(-0.100216\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.657293 | + | 4.99264i | −0.0306798 | + | 0.233036i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.196404 | + | 0.474162i | −0.00914747 | + | 0.0220839i | −0.928387 | − | 0.371614i | \(-0.878804\pi\) |
0.919240 | + | 0.393698i | \(0.128804\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.0056i | 1.62685i | 0.581670 | + | 0.813425i | \(0.302400\pi\) | ||||
−0.581670 | + | 0.813425i | \(0.697600\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.183925 | − | 0.106189i | −0.00852933 | − | 0.00492441i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −33.0969 | + | 4.35729i | −1.53154 | + | 0.201631i | −0.848676 | − | 0.528913i | \(-0.822600\pi\) |
−0.682865 | + | 0.730544i | \(0.739266\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 26.5733 | − | 1.48913i | 1.22704 | − | 0.0687618i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.0215047 | + | 0.0802567i | −0.000990885 | + | 0.00369803i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.0180994 | + | 0.0675480i | 0.000832212 | + | 0.00310586i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.12682 | + | 5.13460i | 0.0975852 | + | 0.235592i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 25.7639 | + | 10.6718i | 1.17965 | + | 0.488627i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −17.5477 | + | 30.3935i | −0.801775 | + | 1.38872i | 0.116671 | + | 0.993171i | \(0.462778\pi\) |
−0.918447 | + | 0.395545i | \(0.870556\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.95308 | + | 8.57898i | 0.225841 | + | 0.391168i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.43713 | − | 6.88362i | 0.0653918 | − | 0.313216i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.20089 | − | 1.56502i | 0.0545294 | − | 0.0710641i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.35966 | + | 16.2705i | 0.197555 | + | 0.737286i | 0.991591 | + | 0.129414i | \(0.0413097\pi\) |
−0.794036 | + | 0.607871i | \(0.792024\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.14249 | + | 3.14249i | 0.142108 | + | 0.142108i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 28.8429 | − | 11.9471i | 1.30166 | − | 0.539167i | 0.379223 | − | 0.925305i | \(-0.376191\pi\) |
0.922441 | + | 0.386139i | \(0.126191\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.50188 | + | 3.26051i | 0.112679 | + | 0.146846i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.0589340 | + | 0.0340256i | −0.00264889 | + | 0.00152934i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 34.0284 | − | 6.43430i | 1.52638 | − | 0.288618i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.4292 | − | 2.16294i | 0.735472 | − | 0.0968267i | 0.246520 | − | 0.969138i | \(-0.420713\pi\) |
0.488951 | + | 0.872311i | \(0.337380\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.448035 | + | 3.40316i | −0.0200167 | + | 0.152042i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.63469 | + | 9.63469i | 0.429590 | + | 0.429590i | 0.888488 | − | 0.458899i | \(-0.151756\pi\) |
−0.458899 | + | 0.888488i | \(0.651756\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.80479 | + | 1.80479i | −0.0803122 | + | 0.0803122i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.32018 | − | 0.963720i | −0.325101 | − | 0.0428003i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.0166976 | − | 0.126831i | −0.000740108 | − | 0.00562168i | 0.991071 | − | 0.133337i | \(-0.0425691\pi\) |
−0.991811 | + | 0.127715i | \(0.959236\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34.4324 | + | 12.0530i | 1.52320 | + | 0.533195i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.46871 | + | 2.54387i | 0.0648450 | + | 0.112315i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.65412 | − | 1.26925i | 0.0728894 | − | 0.0559300i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.512197 | − | 1.23655i | −0.0225264 | − | 0.0543836i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.61128 | − | 3.61128i | 0.158517 | − | 0.158517i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.0651 | − | 9.12771i | 1.49242 | − | 0.399892i | 0.581865 | − | 0.813285i | \(-0.302323\pi\) |
0.910553 | + | 0.413393i | \(0.135656\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.3331 | − | 13.3002i | −0.757925 | − | 0.581576i | 0.155858 | − | 0.987780i | \(-0.450186\pi\) |
−0.913783 | + | 0.406203i | \(0.866853\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.86612 | − | 5.67336i | −0.0814442 | − | 0.247606i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.86773 | − | 2.81039i | 0.212042 | − | 0.122422i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.79173 | − | 5.65326i | −0.425727 | − | 0.245794i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.6051 | + | 28.0172i | −0.503618 | + | 1.21584i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −26.8746 | + | 11.1318i | −1.16407 | + | 0.482173i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.624290 | − | 0.167278i | 0.0269904 | − | 0.00723205i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.90231 | − | 1.84947i | −0.297857 | − | 0.0798104i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.03766 | + | 0.257080i | −0.0446952 | + | 0.0110732i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.64022 | + | 27.6502i | 0.156505 | + | 1.18878i | 0.871768 | + | 0.489920i | \(0.162974\pi\) |
−0.715262 | + | 0.698856i | \(0.753693\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.56744 | − | 7.91103i | 0.196007 | − | 0.339495i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.02574 | 0.0867734 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.2728 | − | 9.63989i | −0.995071 | − | 0.412172i | −0.175084 | − | 0.984554i | \(-0.556020\pi\) |
−0.819987 | + | 0.572382i | \(0.806020\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 27.8460 | + | 3.66600i | 1.18844 | + | 0.156461i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.31562 | + | 0.620467i | 0.0986486 | + | 0.0264328i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 22.1877 | + | 1.66541i | 0.943516 | + | 0.0708203i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.105124 | − | 0.0806644i | −0.00446226 | − | 0.00342401i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.1103 | − | 24.9050i | −0.809729 | − | 1.05526i | −0.997331 | − | 0.0730137i | \(-0.976738\pi\) |
0.187602 | − | 0.982245i | \(-0.439928\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.47738i | 0.104782i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.132730i | 0.00560387i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.55027 | − | 7.23325i | −0.233916 | − | 0.304845i | 0.661616 | − | 0.749843i | \(-0.269871\pi\) |
−0.895532 | + | 0.444998i | \(0.853204\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.480668 | − | 0.368830i | −0.0202219 | − | 0.0155168i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.25074 | + | 17.1381i | 0.346499 | + | 0.719732i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.26840 | − | 1.67961i | −0.262785 | − | 0.0704130i | 0.125021 | − | 0.992154i | \(-0.460100\pi\) |
−0.387806 | + | 0.921741i | \(0.626767\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.1724 | − | 2.91905i | −0.927885 | − | 0.122158i | −0.348589 | − | 0.937276i | \(-0.613339\pi\) |
−0.579296 | + | 0.815117i | \(0.696672\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.70432 | − | 1.53438i | −0.154750 | − | 0.0640996i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −29.1369 | −1.21509 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −21.7606 | + | 37.6904i | −0.905905 | + | 1.56907i | −0.0862065 | + | 0.996277i | \(0.527474\pi\) |
−0.819698 | + | 0.572796i | \(0.805859\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.0113485 | − | 0.0862007i | −0.000471629 | − | 0.00358238i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.64598 | + | 4.35024i | −0.275722 | + | 0.180478i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.47229 | + | 0.394499i | 0.0609760 | + | 0.0163385i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.32865 | + | 0.623959i | −0.0962778 | + | 0.0257975i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.5686 | − | 7.69135i | 0.766406 | − | 0.317456i | 0.0349905 | − | 0.999388i | \(-0.488860\pi\) |
0.731416 | + | 0.681932i | \(0.238860\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.25470 | − | 3.02911i | 0.0516989 | − | 0.124812i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.17838 | − | 2.98974i | −0.213010 | − | 0.122981i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.3007 | + | 7.67919i | −0.546196 | + | 0.315346i | −0.747586 | − | 0.664165i | \(-0.768787\pi\) |
0.201390 | + | 0.979511i | \(0.435454\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.791080 | − | 0.165158i | −0.0324311 | − | 0.00677083i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.45142 | − | 1.88104i | −0.100330 | − | 0.0769858i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 5.42629 | − | 1.45397i | 0.221712 | − | 0.0594076i | −0.146253 | − | 0.989247i | \(-0.546721\pi\) |
0.367965 | + | 0.929840i | \(0.380055\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.59925 | − | 9.59925i | 0.391562 | − | 0.391562i | −0.483682 | − | 0.875244i | \(-0.660701\pi\) |
0.875244 | + | 0.483682i | \(0.160701\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −10.7561 | − | 25.9676i | −0.438024 | − | 1.05748i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.38880 | − | 1.06567i | 0.0564629 | − | 0.0433255i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.4318 | + | 18.0684i | 0.423413 | + | 0.733373i | 0.996271 | − | 0.0862819i | \(-0.0274986\pi\) |
−0.572858 | + | 0.819655i | \(0.694165\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.43153 | − | 0.851157i | −0.0985306 | − | 0.0344906i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.18899 | − | 47.0101i | −0.250380 | − | 1.90182i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 43.6071 | + | 5.74098i | 1.76127 | + | 0.231876i | 0.940598 | − | 0.339521i | \(-0.110265\pi\) |
0.820674 | + | 0.571397i | \(0.193598\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.275132 | − | 0.275132i | 0.0110944 | − | 0.0110944i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.01401 | + | 3.01401i | 0.121339 | + | 0.121339i | 0.765169 | − | 0.643830i | \(-0.222655\pi\) |
−0.643830 | + | 0.765169i | \(0.722655\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.30864 | + | 25.1316i | −0.132985 | + | 1.01012i | 0.786663 | + | 0.617382i | \(0.211807\pi\) |
−0.919649 | + | 0.392742i | \(0.871527\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −15.2681 | + | 2.01009i | −0.612689 | + | 0.0806620i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.78435 | − | 2.07395i | −0.0714884 | − | 0.0830912i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.3208 | + | 12.3096i | −0.852832 | + | 0.492383i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.0471324 | + | 0.0614241i | 0.00188229 | + | 0.00245304i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.23993 | − | 1.34202i | 0.129184 | − | 0.0535100i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.06316 | − | 5.06316i | −0.201561 | − | 0.201561i | 0.599107 | − | 0.800669i | \(-0.295522\pi\) |
−0.800669 | + | 0.599107i | \(0.795522\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.70028 | − | 10.0776i | −0.107326 | − | 0.400547i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.0544367 | − | 0.0709433i | 0.00216025 | − | 0.00281530i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −37.8650 | − | 0.717222i | −1.50026 | − | 0.0284174i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −18.2865 | − | 31.6731i | −0.723402 | − | 1.25297i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.4584 | + | 28.5069i | −0.650070 | + | 1.12595i | 0.333036 | + | 0.942914i | \(0.391927\pi\) |
−0.983106 | + | 0.183039i | \(0.941406\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.11504 | + | 3.77557i | 0.359462 | + | 0.148894i | 0.555103 | − | 0.831782i | \(-0.312679\pi\) |
−0.195641 | + | 0.980676i | \(0.562679\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.0126813 | − | 0.0306153i | −0.000499325 | − | 0.00120548i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.0339 | − | 37.4471i | −0.394474 | − | 1.47220i | −0.822674 | − | 0.568514i | \(-0.807519\pi\) |
0.428200 | − | 0.903684i | \(-0.359148\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.429001 | + | 1.60105i | −0.0168398 | + | 0.0628468i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.58819 | + | 3.14510i | −0.0622462 | + | 0.123266i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.7785 | + | 1.81397i | −0.539193 | + | 0.0709861i | −0.395204 | − | 0.918593i | \(-0.629326\pi\) |
−0.143989 | + | 0.989579i | \(0.545993\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.28619 | − | 1.31993i | −0.0893287 | − | 0.0515739i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 38.5263i | − | 1.50305i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.04625 | − | 17.0112i | 0.274483 | − | 0.662660i | −0.725182 | − | 0.688558i | \(-0.758244\pi\) |
0.999665 | + | 0.0258972i | \(0.00824425\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.06536 | + | 30.8795i | −0.158124 | + | 1.20107i | 0.709810 | + | 0.704393i | \(0.248781\pi\) |
−0.867934 | + | 0.496679i | \(0.834553\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.21700 | + | 4.54190i | −0.0472643 | + | 0.176393i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.424740 | + | 0.204481i | −0.0164707 | + | 0.00792944i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.65107 | + | 9.97107i | −0.296251 | + | 0.386081i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.08450 | − | 6.20346i | 0.312565 | − | 0.239839i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.53514 | 0.0592633 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.52017 | 0.212787 | 0.106393 | − | 0.994324i | \(-0.466070\pi\) | ||||
0.106393 | + | 0.994324i | \(0.466070\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −10.3765 | + | 7.96217i | −0.399392 | + | 0.306464i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 20.2563 | − | 26.3985i | 0.778513 | − | 1.01458i | −0.220716 | − | 0.975338i | \(-0.570840\pi\) |
0.999230 | − | 0.0392404i | \(-0.0124938\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −27.0377 | − | 18.4388i | −1.03761 | − | 0.707615i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.95586 | + | 11.0314i | −0.113269 | + | 0.422725i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.35066 | − | 33.0465i | 0.166473 | − | 1.26449i | −0.680457 | − | 0.732788i | \(-0.738219\pi\) |
0.846931 | − | 0.531703i | \(-0.178448\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.634307 | + | 1.53135i | −0.0242356 | + | 0.0585100i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 10.0834i | − | 0.384706i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 46.7633 | + | 26.9988i | 1.78154 | + | 1.02857i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.6446 | − | 5.87757i | 1.69836 | − | 0.223593i | 0.781811 | − | 0.623515i | \(-0.214296\pi\) |
0.916549 | + | 0.399922i | \(0.130963\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.618303 | + | 0.944599i | 0.0234874 | + | 0.0358823i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.171097 | − | 0.638543i | 0.00649008 | − | 0.0242213i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.66525 | + | 9.94685i | 0.100954 | + | 0.376764i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.65508 | − | 3.99573i | −0.0626011 | − | 0.151132i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 31.6386 | + | 13.1051i | 1.19497 | + | 0.494974i | 0.889371 | − | 0.457186i | \(-0.151143\pi\) |
0.305601 | + | 0.952160i | \(0.401143\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.02281 | − | 1.77155i | 0.0385759 | − | 0.0668154i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.317119 | + | 0.549266i | 0.0119434 | + | 0.0206866i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 31.5698 | + | 28.2193i | 1.18730 | + | 1.06130i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.86479 | − | 12.8560i | 0.370480 | − | 0.482819i | −0.570492 | − | 0.821303i | \(-0.693248\pi\) |
0.940972 | + | 0.338484i | \(0.109914\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.08161 | − | 22.6969i | −0.228078 | − | 0.851200i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 12.1545 | + | 12.1545i | 0.455189 | + | 0.455189i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.121739 | + | 0.0504258i | −0.00455277 | + | 0.00188582i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.25159 | − | 1.63111i | −0.0467417 | − | 0.0609149i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 21.8413 | − | 12.6101i | 0.814544 | − | 0.470277i | −0.0339873 | − | 0.999422i | \(-0.510821\pi\) |
0.848531 | + | 0.529145i | \(0.177487\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.5593 | − | 26.2207i | −0.840152 | − | 0.976511i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.46684 | − | 1.24633i | 0.352075 | − | 0.0463516i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.39328 | + | 10.5830i | −0.0517453 | + | 0.393044i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.2070 | − | 19.2070i | −0.712349 | − | 0.712349i | 0.254677 | − | 0.967026i | \(-0.418031\pi\) |
−0.967026 | + | 0.254677i | \(0.918031\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.6728 | − | 11.6728i | 0.432327 | − | 0.432327i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.869515 | + | 0.114474i | 0.0321602 | + | 0.00423397i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.54280 | − | 42.1017i | −0.204728 | − | 1.55506i | −0.717512 | − | 0.696546i | \(-0.754719\pi\) |
0.512784 | − | 0.858517i | \(-0.328614\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.471603 | − | 0.184960i | 0.0173953 | − | 0.00682237i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.768138 | − | 1.33045i | −0.0282947 | − | 0.0490079i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.4859 | − | 24.1600i | 1.15823 | − | 0.888739i | 0.163029 | − | 0.986621i | \(-0.447874\pi\) |
0.995198 | + | 0.0978823i | \(0.0312069\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.04963 | + | 2.53404i | 0.0385592 | + | 0.0930901i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.24090 | − | 7.24090i | 0.265643 | − | 0.265643i | −0.561699 | − | 0.827342i | \(-0.689852\pi\) |
0.827342 | + | 0.561699i | \(0.189852\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.376065 | + | 0.100766i | −0.0137779 | + | 0.00369179i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.65503 | + | 5.10658i | 0.243495 | + | 0.186840i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.35027 | − | 10.1855i | −0.122416 | − | 0.372168i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.65821 | + | 4.99882i | −0.315942 | + | 0.182409i | −0.649583 | − | 0.760291i | \(-0.725056\pi\) |
0.333640 | + | 0.942701i | \(0.391723\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.97050 | − | 1.71502i | −0.108251 | − | 0.0624989i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.741165 | + | 1.78933i | −0.0269738 | + | 0.0651204i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.9833 | − | 4.96365i | 0.435541 | − | 0.180407i | −0.154130 | − | 0.988051i | \(-0.549258\pi\) |
0.589671 | + | 0.807644i | \(0.299258\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.392075 | + | 0.105056i | −0.0142314 | + | 0.00381329i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −7.51962 | − | 2.01488i | −0.272586 | − | 0.0730392i | 0.119937 | − | 0.992782i | \(-0.461731\pi\) |
−0.392523 | + | 0.919742i | \(0.628398\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.88035 | − | 33.5544i | −0.0680731 | − | 1.21475i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.111397 | + | 0.846143i | 0.00402756 | + | 0.0305924i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −29.3601 | + | 50.8531i | −1.06013 | + | 1.83620i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.2525 | −0.441838 | −0.220919 | − | 0.975292i | \(-0.570906\pi\) | ||||
−0.220919 | + | 0.975292i | \(0.570906\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.969588 | − | 0.401616i | −0.0349188 | − | 0.0144639i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −34.9820 | − | 4.60546i | −1.25821 | − | 0.165647i | −0.528224 | − | 0.849105i | \(-0.677142\pi\) |
−0.729990 | + | 0.683458i | \(0.760475\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.1014 | + | 3.77846i | 0.506537 | + | 0.135726i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.23855 | + | 1.81615i | −0.0444326 | + | 0.0651539i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.76554 | + | 3.65672i | 0.170743 | + | 0.131016i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.21692 | − | 1.58591i | −0.0435446 | − | 0.0567485i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.64177i | 0.201621i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.0292009i | 0.00104223i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.86740 | + | 6.34332i | 0.173504 | + | 0.226115i | 0.872008 | − | 0.489491i | \(-0.162817\pi\) |
−0.698504 | + | 0.715606i | \(0.746151\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.15668 | + | 5.49151i | 0.254785 | + | 0.195503i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.66312 | + | 8.30414i | −0.201357 | + | 0.295261i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 52.5310 | + | 14.0756i | 1.86543 | + | 0.499841i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.716099 | − | 0.0942762i | −0.0253974 | − | 0.00334363i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −47.4115 | − | 19.6385i | −1.67940 | − | 0.695631i | −0.680104 | − | 0.733116i | \(-0.738065\pi\) |
−0.999297 | + | 0.0374853i | \(0.988065\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −16.7856 | −0.593833 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.44465 | + | 2.50220i | −0.0510441 | + | 0.0884110i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.274858 | − | 2.08775i | −0.00969951 | − | 0.0736751i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.138276 | − | 2.46751i | −0.00487360 | − | 0.0869685i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.915844 | − | 0.245400i | −0.0322392 | − | 0.00863847i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.9173 | − | 6.94451i | 0.911202 | − | 0.244156i | 0.227381 | − | 0.973806i | \(-0.426984\pi\) |
0.683821 | + | 0.729650i | \(0.260317\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −34.4290 | + | 14.2610i | −1.20897 | + | 0.500770i | −0.893886 | − | 0.448294i | \(-0.852032\pi\) |
−0.315081 | + | 0.949065i | \(0.602032\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.62685 | − | 13.5844i | 0.197342 | − | 0.476427i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.35263 | + | 0.780941i | 0.0473806 | + | 0.0273552i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.443040 | − | 0.255789i | 0.0155000 | − | 0.00894893i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 12.4968 | + | 37.9925i | 0.436672 | + | 1.32757i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −22.1747 | − | 17.0152i | −0.773901 | − | 0.593835i | 0.144491 | − | 0.989506i | \(-0.453845\pi\) |
−0.918392 | + | 0.395671i | \(0.870512\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.16061 | + | 1.91868i | −0.249603 | + | 0.0668809i | −0.381451 | − | 0.924389i | \(-0.624576\pi\) |
0.131848 | + | 0.991270i | \(0.457909\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.243768 | + | 0.243768i | −0.00848691 | + | 0.00848691i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −8.58472 | − | 20.7253i | −0.298520 | − | 0.720691i | −0.999968 | − | 0.00797060i | \(-0.997463\pi\) |
0.701448 | − | 0.712720i | \(-0.252537\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 26.1235 | − | 20.0453i | 0.907308 | − | 0.696202i | −0.0457621 | − | 0.998952i | \(-0.514572\pi\) |
0.953070 | + | 0.302751i | \(0.0979050\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.10494 | + | 5.37792i | 0.107709 | + | 0.186558i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.00138 | + | 13.2567i | −0.0693437 | + | 0.459319i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.157460 | + | 1.19603i | 0.00544913 | + | 0.0413903i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 7.64999 | + | 1.00714i | 0.264422 | + | 0.0348119i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.657491 | − | 0.657491i | 0.0226991 | − | 0.0226991i | −0.695666 | − | 0.718365i | \(-0.744891\pi\) |
0.718365 | + | 0.695666i | \(0.244891\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.2503 | − | 17.2503i | −0.594838 | − | 0.594838i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.113597 | − | 0.862858i | 0.00391250 | − | 0.0297184i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.57265 | + | 0.338696i | −0.0885019 | + | 0.0116515i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −18.9408 | − | 22.0149i | −0.650814 | − | 0.756443i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.90854 | − | 3.98865i | 0.237100 | − | 0.136890i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.52865 | + | 8.50830i | 0.223799 | + | 0.291661i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.37097 | − | 2.22473i | 0.183898 | − | 0.0761732i | −0.288834 | − | 0.957379i | \(-0.593268\pi\) |
0.472733 | + | 0.881206i | \(0.343268\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.352017 | + | 0.352017i | 0.0120387 | + | 0.0120387i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.12130 | − | 4.18475i | −0.0383029 | − | 0.142948i | 0.944126 | − | 0.329584i | \(-0.106908\pi\) |
−0.982429 | + | 0.186635i | \(0.940242\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.2400 | + | 15.9515i | −0.417624 | + | 0.544258i | −0.954034 | − | 0.299699i | \(-0.903114\pi\) |
0.536410 | + | 0.843958i | \(0.319780\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.81267 | − | 4.30190i | −0.164015 | − | 0.146608i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −8.99800 | − | 15.5850i | −0.306295 | − | 0.530519i | 0.671254 | − | 0.741228i | \(-0.265756\pi\) |
−0.977549 | + | 0.210709i | \(0.932423\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.897439 | − | 1.55441i | 0.0305138 | − | 0.0528515i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.58914 | − | 2.31510i | −0.189817 | − | 0.0786248i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.491490 | − | 1.18656i | −0.0166727 | − | 0.0402514i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.0861 | − | 52.5700i | −0.477289 | − | 1.78127i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.94514 | + | 33.3837i | −0.302747 | + | 1.12987i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.30498 | − | 3.52138i | −0.0779224 | − | 0.119044i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.1124 | + | 2.25289i | −0.577844 | + | 0.0760746i | −0.413783 | − | 0.910376i | \(-0.635793\pi\) |
−0.164061 | + | 0.986450i | \(0.552459\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.58137 | + | 5.53181i | 0.323172 | + | 0.186583i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 30.8266i | − | 1.03857i | −0.854600 | − | 0.519287i | \(-0.826197\pi\) | ||
0.854600 | − | 0.519287i | \(-0.173803\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.82347 | − | 18.8875i | 0.263281 | − | 0.635616i | −0.735857 | − | 0.677137i | \(-0.763220\pi\) |
0.999138 | + | 0.0415210i | \(0.0132204\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.102521 | − | 0.778727i | 0.00344622 | − | 0.0261766i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.77597 | + | 36.4844i | −0.328245 | + | 1.22503i | 0.582764 | + | 0.812641i | \(0.301971\pi\) |
−0.911009 | + | 0.412386i | \(0.864696\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.22563 | − | 0.835838i | −0.0411064 | − | 0.0280331i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.668372 | − | 0.871039i | 0.0223913 | − | 0.0291809i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −7.76797 | + | 5.96058i | −0.259945 | + | 0.199463i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.51136 | −0.0839457 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −14.3797 | −0.480124 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 4.99594 | − | 3.83352i | 0.166624 | − | 0.127855i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.6369 | − | 15.1655i | 0.387681 | − | 0.505236i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.495341 | + | 0.238470i | −0.0164839 | + | 0.00793580i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.830917 | − | 3.10103i | 0.0276206 | − | 0.103082i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.990783 | + | 7.52574i | −0.0328984 | + | 0.249888i | −0.999990 | − | 0.00454145i | \(-0.998554\pi\) |
0.967091 | + | 0.254430i | \(0.0818877\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 17.1127 | − | 41.3137i | 0.567592 | − | 1.37029i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 34.8079i | 1.15324i | 0.817013 | + | 0.576619i | \(0.195628\pi\) | ||||
−0.817013 | + | 0.576619i | \(0.804372\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.397070 | + | 0.229248i | 0.0131411 | + | 0.00758701i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.721225 | + | 0.0949510i | −0.0238429 | + | 0.00313898i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −19.7412 | + | 39.0935i | −0.651912 | + | 1.29098i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.26821 | − | 15.9292i | 0.140795 | − | 0.525455i | −0.859111 | − | 0.511789i | \(-0.828983\pi\) |
0.999907 | − | 0.0136665i | \(-0.00435030\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.0237903 | − | 0.0887866i | −0.000783917 | − | 0.00292562i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −27.1005 | − | 65.4265i | −0.892025 | − | 2.15354i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.41508 | + | 3.48564i | 0.276686 | + | 0.114607i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −18.2645 | + | 31.6350i | −0.599885 | + | 1.03903i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1.04652 | + | 1.81262i | 0.0343351 | + | 0.0594701i | 0.882682 | − | 0.469970i | \(-0.155735\pi\) |
−0.848347 | + | 0.529440i | \(0.822402\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.78128 | + | 6.84558i | 0.123926 | + | 0.224355i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.64273 | − | 2.14084i | 0.0537805 | − | 0.0700881i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.0120733 | + | 0.0450580i | 0.000394838 | + | 0.00147355i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.81953 | − | 9.81953i | −0.320790 | − | 0.320790i | 0.528280 | − | 0.849070i | \(-0.322837\pi\) |
−0.849070 | + | 0.528280i | \(0.822837\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3.13754 | − | 1.29961i | 0.102390 | − | 0.0424113i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −22.6119 | − | 29.4684i | −0.737127 | − | 0.960642i | 0.262864 | − | 0.964833i | \(-0.415333\pi\) |
−0.999991 | + | 0.00419048i | \(0.998666\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.2727 | + | 15.7459i | −0.888121 | + | 0.512757i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.723535 | − | 0.840967i | −0.0235366 | − | 0.0273567i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 53.2636 | − | 7.01229i | 1.73083 | − | 0.227869i | 0.801730 | − | 0.597686i | \(-0.203913\pi\) |
0.929104 | + | 0.369818i | \(0.120580\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.73717 | − | 73.9611i | 0.316082 | − | 2.40088i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 9.43699 | + | 9.43699i | 0.306015 | + | 0.306015i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 33.4217 | − | 33.4217i | 1.08263 | − | 1.08263i | 0.0863708 | − | 0.996263i | \(-0.472473\pi\) |
0.996263 | − | 0.0863708i | \(-0.0275270\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.39708 | − | 0.183929i | −0.0452084 | − | 0.00595180i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0194098 | + | 0.147432i | 0.000627430 | + | 0.00476580i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 25.9541 | + | 9.08522i | 0.838101 | + | 0.293377i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.1938 | + | 19.3882i | 0.361089 | + | 0.625425i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.98350 | + | 6.89328i | −0.289489 | + | 0.222133i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.0116934 | − | 0.0282304i | −0.000376424 | − | 0.000908768i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.12909 | + | 5.12909i | −0.164940 | + | 0.164940i | −0.784751 | − | 0.619811i | \(-0.787209\pi\) |
0.619811 | + | 0.784751i | \(0.287209\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.937900 | − | 0.251309i | 0.0301297 | − | 0.00807322i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 22.2531 | + | 17.0754i | 0.714137 | + | 0.547977i | 0.900687 | − | 0.434469i | \(-0.143064\pi\) |
−0.186550 | + | 0.982446i | \(0.559730\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.7356 | − | 2.24134i | −0.344169 | − | 0.0718540i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10.5766 | + | 6.10642i | −0.338723 | + | 0.195562i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −49.7040 | − | 28.6966i | −1.59017 | − | 0.918086i | −0.993277 | − | 0.115766i | \(-0.963068\pi\) |
−0.596894 | − | 0.802320i | \(-0.703599\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.0604344 | + | 0.145902i | −0.00193149 | + | 0.00466304i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −32.7896 | + | 13.5819i | −1.04689 | + | 0.433637i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 37.1462 | − | 9.95329i | 1.18478 | − | 0.317461i | 0.387959 | − | 0.921677i | \(-0.373180\pi\) |
0.796821 | + | 0.604216i | \(0.206514\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.02986 | − | 0.543900i | −0.0646767 | − | 0.0173301i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 8.80368 | − | 5.76260i | 0.280224 | − | 0.183426i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.350076 | + | 2.65909i | 0.0111318 | + | 0.0845541i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.8141 | − | 30.8549i | 0.565882 | − | 0.980137i | −0.431085 | − | 0.902311i | \(-0.641869\pi\) |
0.996967 | − | 0.0778255i | \(-0.0247977\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.45414 | 0.109614 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.00329 | − | 0.415575i | −0.0318063 | − | 0.0131746i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.20202 | − | 0.948164i | −0.228090 | − | 0.0300287i | 0.0156146 | − | 0.999878i | \(-0.495030\pi\) |
−0.243705 | + | 0.969849i | \(0.578363\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.65008 | + | 1.24599i | 0.147122 | + | 0.0394212i |
(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 | 896.2.bh.a.81.17 | 240 | ||
4.3 | odd | 2 | 224.2.bd.a.221.11 | yes | 240 | ||
7.2 | even | 3 | inner | 896.2.bh.a.849.17 | 240 | ||
28.23 | odd | 6 | 224.2.bd.a.93.30 | yes | 240 | ||
32.11 | odd | 8 | 224.2.bd.a.53.30 | ✓ | 240 | ||
32.21 | even | 8 | inner | 896.2.bh.a.305.17 | 240 | ||
224.107 | odd | 24 | 224.2.bd.a.149.11 | yes | 240 | ||
224.149 | even | 24 | inner | 896.2.bh.a.177.17 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.53.30 | ✓ | 240 | 32.11 | odd | 8 | ||
224.2.bd.a.93.30 | yes | 240 | 28.23 | odd | 6 | ||
224.2.bd.a.149.11 | yes | 240 | 224.107 | odd | 24 | ||
224.2.bd.a.221.11 | yes | 240 | 4.3 | odd | 2 | ||
896.2.bh.a.81.17 | 240 | 1.1 | even | 1 | trivial | ||
896.2.bh.a.177.17 | 240 | 224.149 | even | 24 | inner | ||
896.2.bh.a.305.17 | 240 | 32.21 | even | 8 | inner | ||
896.2.bh.a.849.17 | 240 | 7.2 | even | 3 | inner |