Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.9 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.9 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | + | 0.766044i | −0.454519 | + | 0.541675i | ||||
\(3\) | −0.213600 | + | 1.71883i | −0.123322 | + | 0.992367i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −2.00927 | + | 0.981251i | −0.898571 | + | 0.438829i | ||||
\(6\) | −1.17940 | − | 1.26847i | −0.481488 | − | 0.517851i | ||||
\(7\) | −3.44103 | + | 1.98668i | −1.30059 | + | 0.750895i | −0.980505 | − | 0.196495i | \(-0.937044\pi\) |
−0.320083 | + | 0.947390i | \(0.603711\pi\) | |||||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | −2.90875 | − | 0.734285i | −0.969583 | − | 0.244762i | ||||
\(10\) | 0.539849 | − | 2.16992i | 0.170715 | − | 0.686190i | ||||
\(11\) | 3.19095 | + | 1.84230i | 0.962109 | + | 0.555474i | 0.896821 | − | 0.442393i | \(-0.145870\pi\) |
0.0652874 | + | 0.997866i | \(0.479204\pi\) | |||||||
\(12\) | 1.72981 | − | 0.0881164i | 0.499353 | − | 0.0254370i | ||||
\(13\) | −2.53956 | − | 0.924323i | −0.704346 | − | 0.256361i | −0.0350807 | − | 0.999384i | \(-0.511169\pi\) |
−0.669265 | + | 0.743023i | \(0.733391\pi\) | |||||||
\(14\) | 0.689967 | − | 3.91300i | 0.184401 | − | 1.04579i | ||||
\(15\) | −1.25742 | − | 3.66318i | −0.324665 | − | 0.945829i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 4.70060 | + | 3.94427i | 1.14006 | + | 0.956626i | 0.999441 | − | 0.0334378i | \(-0.0106456\pi\) |
0.140621 | + | 0.990063i | \(0.455090\pi\) | |||||||
\(18\) | 2.43220 | − | 1.75624i | 0.573276 | − | 0.413950i | ||||
\(19\) | −0.557630 | − | 4.32308i | −0.127929 | − | 0.991783i | ||||
\(20\) | 1.31525 | + | 1.80835i | 0.294099 | + | 0.404359i | ||||
\(21\) | −2.67976 | − | 6.33890i | −0.584772 | − | 1.38326i | ||||
\(22\) | −3.46239 | + | 1.26021i | −0.738184 | + | 0.268677i | ||||
\(23\) | −1.43032 | − | 8.11177i | −0.298243 | − | 1.69142i | −0.653720 | − | 0.756736i | \(-0.726793\pi\) |
0.355477 | − | 0.934685i | \(-0.384318\pi\) | |||||||
\(24\) | −1.04440 | + | 1.38175i | −0.213187 | + | 0.282049i | ||||
\(25\) | 3.07429 | − | 3.94319i | 0.614859 | − | 0.788637i | ||||
\(26\) | 2.34047 | − | 1.35127i | 0.459003 | − | 0.265006i | ||||
\(27\) | 1.88342 | − | 4.84280i | 0.362464 | − | 0.931998i | ||||
\(28\) | 2.55403 | + | 3.04377i | 0.482666 | + | 0.575219i | ||||
\(29\) | −2.49722 | + | 2.09542i | −0.463722 | + | 0.389109i | −0.844498 | − | 0.535558i | \(-0.820101\pi\) |
0.380776 | + | 0.924667i | \(0.375657\pi\) | |||||||
\(30\) | 3.61441 | + | 1.39140i | 0.659899 | + | 0.254035i | ||||
\(31\) | −5.40828 | + | 3.12247i | −0.971355 | + | 0.560812i | −0.899649 | − | 0.436614i | \(-0.856178\pi\) |
−0.0717061 | + | 0.997426i | \(0.522844\pi\) | |||||||
\(32\) | 0.342020 | − | 0.939693i | 0.0604612 | − | 0.166116i | ||||
\(33\) | −3.84819 | + | 5.09119i | −0.669883 | + | 0.886263i | ||||
\(34\) | −6.04297 | + | 1.06554i | −1.03636 | + | 0.182738i | ||||
\(35\) | 4.96451 | − | 7.36828i | 0.839156 | − | 1.24547i | ||||
\(36\) | −0.218030 | + | 2.99207i | −0.0363384 | + | 0.498678i | ||||
\(37\) | 5.48605 | 0.901901 | 0.450951 | − | 0.892549i | \(-0.351085\pi\) | ||||
0.450951 | + | 0.892549i | \(0.351085\pi\) | |||||||
\(38\) | 3.67011 | + | 2.35165i | 0.595371 | + | 0.381489i | ||||
\(39\) | 2.13120 | − | 4.16763i | 0.341266 | − | 0.667355i | ||||
\(40\) | −2.23070 | − | 0.154844i | −0.352705 | − | 0.0244830i | ||||
\(41\) | 5.54983 | − | 2.01997i | 0.866738 | − | 0.315467i | 0.129893 | − | 0.991528i | \(-0.458537\pi\) |
0.736846 | + | 0.676061i | \(0.236314\pi\) | |||||||
\(42\) | 6.57840 | + | 2.02175i | 1.01507 | + | 0.311963i | ||||
\(43\) | −9.57801 | − | 1.68886i | −1.46063 | − | 0.257549i | −0.613823 | − | 0.789444i | \(-0.710369\pi\) |
−0.846811 | + | 0.531895i | \(0.821480\pi\) | |||||||
\(44\) | 1.26021 | − | 3.46239i | 0.189983 | − | 0.521975i | ||||
\(45\) | 6.56497 | − | 1.37884i | 0.978648 | − | 0.205545i | ||||
\(46\) | 7.13337 | + | 4.11845i | 1.05176 | + | 0.607233i | ||||
\(47\) | −8.28350 | + | 6.95068i | −1.20827 | + | 1.01386i | −0.208918 | + | 0.977933i | \(0.566994\pi\) |
−0.999354 | + | 0.0359278i | \(0.988561\pi\) | |||||||
\(48\) | −0.387156 | − | 1.68823i | −0.0558811 | − | 0.243675i | ||||
\(49\) | 4.39380 | − | 7.61029i | 0.627686 | − | 1.08718i | ||||
\(50\) | 1.04454 | + | 4.88968i | 0.147720 | + | 0.691505i | ||||
\(51\) | −7.78357 | + | 7.23703i | −1.08992 | + | 1.01339i | ||||
\(52\) | −0.469291 | + | 2.66148i | −0.0650789 | + | 0.369081i | ||||
\(53\) | −7.81317 | + | 1.37767i | −1.07322 | + | 0.189238i | −0.682216 | − | 0.731150i | \(-0.738984\pi\) |
−0.391006 | + | 0.920388i | \(0.627873\pi\) | |||||||
\(54\) | 2.49916 | + | 4.55568i | 0.340093 | + | 0.619949i | ||||
\(55\) | −8.21923 | − | 0.570539i | −1.10828 | − | 0.0769315i | ||||
\(56\) | −3.97336 | −0.530963 | ||||||||
\(57\) | 7.54975 | − | 0.0350595i | 0.999989 | − | 0.00464374i | ||||
\(58\) | − | 3.25989i | − | 0.428044i | ||||||
\(59\) | 3.14279 | + | 2.63711i | 0.409157 | + | 0.343323i | 0.824020 | − | 0.566561i | \(-0.191726\pi\) |
−0.414864 | + | 0.909884i | \(0.636171\pi\) | |||||||
\(60\) | −3.38918 | + | 1.87442i | −0.437541 | + | 0.241987i | ||||
\(61\) | −0.625224 | − | 3.54582i | −0.0800517 | − | 0.453996i | −0.998315 | − | 0.0580256i | \(-0.981520\pi\) |
0.918263 | − | 0.395970i | \(-0.129592\pi\) | |||||||
\(62\) | 1.08442 | − | 6.15007i | 0.137722 | − | 0.781059i | ||||
\(63\) | 11.4679 | − | 3.25206i | 1.44482 | − | 0.409721i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 6.00963 | − | 0.634732i | 0.745403 | − | 0.0787288i | ||||
\(66\) | −1.42651 | − | 6.22044i | −0.175592 | − | 0.765683i | ||||
\(67\) | 4.03846 | − | 3.38867i | 0.493377 | − | 0.413992i | −0.361858 | − | 0.932233i | \(-0.617857\pi\) |
0.855235 | + | 0.518241i | \(0.173413\pi\) | |||||||
\(68\) | 3.06810 | − | 5.31410i | 0.372061 | − | 0.644429i | ||||
\(69\) | 14.2483 | − | 0.725806i | 1.71529 | − | 0.0873768i | ||||
\(70\) | 2.45331 | + | 8.53928i | 0.293226 | + | 1.02064i | ||||
\(71\) | 0.156103 | − | 0.885303i | 0.0185260 | − | 0.105066i | −0.974143 | − | 0.225934i | \(-0.927457\pi\) |
0.992669 | + | 0.120868i | \(0.0385677\pi\) | |||||||
\(72\) | −2.15191 | − | 2.09028i | −0.253605 | − | 0.246342i | ||||
\(73\) | 0.0635095 | + | 0.174491i | 0.00743323 | + | 0.0204226i | 0.943354 | − | 0.331789i | \(-0.107652\pi\) |
−0.935921 | + | 0.352211i | \(0.885430\pi\) | |||||||
\(74\) | −3.52637 | + | 4.20256i | −0.409932 | + | 0.488538i | ||||
\(75\) | 6.12100 | + | 6.12645i | 0.706792 | + | 0.707422i | ||||
\(76\) | −4.16057 | + | 1.29985i | −0.477251 | + | 0.149103i | ||||
\(77\) | −14.6402 | −1.66841 | ||||||||
\(78\) | 1.82268 | + | 4.31150i | 0.206378 | + | 0.488181i | ||||
\(79\) | −2.72968 | − | 7.49975i | −0.307114 | − | 0.843788i | −0.993216 | − | 0.116283i | \(-0.962902\pi\) |
0.686103 | − | 0.727505i | \(-0.259320\pi\) | |||||||
\(80\) | 1.55248 | − | 1.60928i | 0.173573 | − | 0.179923i | ||||
\(81\) | 7.92165 | + | 4.27170i | 0.880183 | + | 0.474634i | ||||
\(82\) | −2.01997 | + | 5.54983i | −0.223069 | + | 0.612877i | ||||
\(83\) | 2.29598 | + | 3.97675i | 0.252016 | + | 0.436505i | 0.964081 | − | 0.265609i | \(-0.0855731\pi\) |
−0.712065 | + | 0.702114i | \(0.752240\pi\) | |||||||
\(84\) | −5.77727 | + | 3.73979i | −0.630351 | + | 0.408044i | ||||
\(85\) | −13.3151 | − | 3.31262i | −1.44422 | − | 0.359304i | ||||
\(86\) | 7.45037 | − | 6.25160i | 0.803394 | − | 0.674128i | ||||
\(87\) | −3.06826 | − | 4.73988i | −0.328952 | − | 0.508168i | ||||
\(88\) | 1.84230 | + | 3.19095i | 0.196390 | + | 0.340157i | ||||
\(89\) | −6.92216 | − | 2.51946i | −0.733748 | − | 0.267062i | −0.0519974 | − | 0.998647i | \(-0.516559\pi\) |
−0.681750 | + | 0.731585i | \(0.738781\pi\) | |||||||
\(90\) | −3.16363 | + | 5.91536i | −0.333476 | + | 0.623534i | ||||
\(91\) | 10.5750 | − | 1.86466i | 1.10856 | − | 0.195470i | ||||
\(92\) | −7.74016 | + | 2.81719i | −0.806968 | + | 0.293712i | ||||
\(93\) | −4.21178 | − | 9.96287i | −0.436742 | − | 1.03310i | ||||
\(94\) | − | 10.8133i | − | 1.11531i | ||||||
\(95\) | 5.36246 | + | 8.13905i | 0.550176 | + | 0.835048i | ||||
\(96\) | 1.54212 | + | 0.788593i | 0.157392 | + | 0.0804854i | ||||
\(97\) | −6.07708 | − | 5.09928i | −0.617034 | − | 0.517753i | 0.279836 | − | 0.960048i | \(-0.409720\pi\) |
−0.896870 | + | 0.442295i | \(0.854164\pi\) | |||||||
\(98\) | 3.00554 | + | 8.25764i | 0.303605 | + | 0.834148i | ||||
\(99\) | −7.92892 | − | 7.70185i | −0.796886 | − | 0.774066i | ||||
\(100\) | −4.41713 | − | 2.34286i | −0.441713 | − | 0.234286i | ||||
\(101\) | −2.30123 | + | 6.32259i | −0.228981 | + | 0.629121i | −0.999970 | − | 0.00772758i | \(-0.997540\pi\) |
0.770989 | + | 0.636849i | \(0.219762\pi\) | |||||||
\(102\) | −0.540699 | − | 10.6144i | −0.0535372 | − | 1.05099i | ||||
\(103\) | −7.95354 | + | 13.7759i | −0.783686 | + | 1.35738i | 0.146096 | + | 0.989270i | \(0.453329\pi\) |
−0.929781 | + | 0.368113i | \(0.880004\pi\) | |||||||
\(104\) | −1.73716 | − | 2.07026i | −0.170342 | − | 0.203006i | ||||
\(105\) | 11.6044 | + | 10.1070i | 1.13247 | + | 0.986344i | ||||
\(106\) | 3.96685 | − | 6.87079i | 0.385295 | − | 0.667350i | ||||
\(107\) | −11.3788 | + | 6.56958i | −1.10003 | + | 0.635105i | −0.936230 | − | 0.351388i | \(-0.885710\pi\) |
−0.163804 | + | 0.986493i | \(0.552377\pi\) | |||||||
\(108\) | −5.09628 | − | 1.01386i | −0.490390 | − | 0.0975591i | ||||
\(109\) | 2.03175 | + | 0.358253i | 0.194607 | + | 0.0343144i | 0.270102 | − | 0.962832i | \(-0.412943\pi\) |
−0.0754951 | + | 0.997146i | \(0.524054\pi\) | |||||||
\(110\) | 5.72028 | − | 5.92956i | 0.545407 | − | 0.565361i | ||||
\(111\) | −1.17182 | + | 9.42959i | −0.111224 | + | 0.895017i | ||||
\(112\) | 2.55403 | − | 3.04377i | 0.241333 | − | 0.287609i | ||||
\(113\) | − | 4.74390i | − | 0.446269i | −0.974788 | − | 0.223134i | \(-0.928371\pi\) | ||
0.974788 | − | 0.223134i | \(-0.0716289\pi\) | |||||||
\(114\) | −4.82603 | + | 5.80598i | −0.451999 | + | 0.543780i | ||||
\(115\) | 10.8336 | + | 14.8952i | 1.01024 | + | 1.38898i | ||||
\(116\) | 2.49722 | + | 2.09542i | 0.231861 | + | 0.194554i | ||||
\(117\) | 6.70822 | + | 4.55338i | 0.620175 | + | 0.420960i | ||||
\(118\) | −4.04029 | + | 0.712413i | −0.371939 | + | 0.0655829i | ||||
\(119\) | −24.0109 | − | 4.23377i | −2.20108 | − | 0.388109i | ||||
\(120\) | 0.742629 | − | 3.80112i | 0.0677925 | − | 0.346993i | ||||
\(121\) | 1.28813 | + | 2.23110i | 0.117102 | + | 0.202827i | ||||
\(122\) | 3.11814 | + | 1.80026i | 0.282303 | + | 0.162988i | ||||
\(123\) | 2.28654 | + | 9.97068i | 0.206171 | + | 0.899026i | ||||
\(124\) | 4.01417 | + | 4.78390i | 0.360483 | + | 0.429607i | ||||
\(125\) | −2.30782 | + | 10.9396i | −0.206417 | + | 0.978464i | ||||
\(126\) | −4.88020 | + | 10.8753i | −0.434762 | + | 0.968848i | ||||
\(127\) | 2.92253 | + | 1.06371i | 0.259332 | + | 0.0943893i | 0.468415 | − | 0.883509i | \(-0.344825\pi\) |
−0.209082 | + | 0.977898i | \(0.567048\pi\) | |||||||
\(128\) | −0.984808 | − | 0.173648i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | 4.94873 | − | 16.1022i | 0.435712 | − | 1.41772i | ||||
\(130\) | −3.37669 | + | 5.01164i | −0.296155 | + | 0.439550i | ||||
\(131\) | −10.7385 | + | 12.7976i | −0.938223 | + | 1.11813i | 0.0545962 | + | 0.998509i | \(0.482613\pi\) |
−0.992819 | + | 0.119622i | \(0.961832\pi\) | |||||||
\(132\) | 5.68207 | + | 2.90565i | 0.494561 | + | 0.252904i | ||||
\(133\) | 10.5074 | + | 13.7680i | 0.911108 | + | 1.19384i | ||||
\(134\) | 5.27184i | 0.455417i | ||||||||
\(135\) | 0.967712 | + | 11.5786i | 0.0832874 | + | 0.996526i | ||||
\(136\) | 2.09870 | + | 5.76613i | 0.179962 | + | 0.494442i | ||||
\(137\) | −1.03098 | − | 5.84696i | −0.0880822 | − | 0.499539i | −0.996649 | − | 0.0817992i | \(-0.973933\pi\) |
0.908567 | − | 0.417740i | \(-0.137178\pi\) | |||||||
\(138\) | −8.60261 | + | 11.3813i | −0.732303 | + | 0.968845i | ||||
\(139\) | −14.3234 | − | 5.21328i | −1.21489 | − | 0.442184i | −0.346493 | − | 0.938052i | \(-0.612628\pi\) |
−0.868398 | + | 0.495868i | \(0.834850\pi\) | |||||||
\(140\) | −8.11842 | − | 3.60960i | −0.686132 | − | 0.305067i | ||||
\(141\) | −10.1777 | − | 15.7226i | −0.857115 | − | 1.32408i | ||||
\(142\) | 0.577840 | + | 0.688643i | 0.0484913 | + | 0.0577897i | ||||
\(143\) | −6.40073 | − | 7.62809i | −0.535256 | − | 0.637893i | ||||
\(144\) | 2.98447 | − | 0.304849i | 0.248706 | − | 0.0254041i | ||||
\(145\) | 2.96145 | − | 6.66064i | 0.245935 | − | 0.553136i | ||||
\(146\) | −0.174491 | − | 0.0635095i | −0.0144410 | − | 0.00525609i | ||||
\(147\) | 12.1423 | + | 9.17775i | 1.00148 | + | 0.756968i | ||||
\(148\) | −0.952643 | − | 5.40271i | −0.0783067 | − | 0.444100i | ||||
\(149\) | 5.53602 | + | 15.2101i | 0.453529 | + | 1.24606i | 0.930224 | + | 0.366991i | \(0.119612\pi\) |
−0.476696 | + | 0.879068i | \(0.658166\pi\) | |||||||
\(150\) | −8.62763 | + | 0.750947i | −0.704443 | + | 0.0613146i | ||||
\(151\) | 2.92592i | 0.238108i | 0.992888 | + | 0.119054i | \(0.0379861\pi\) | ||||
−0.992888 | + | 0.119054i | \(0.962014\pi\) | |||||||
\(152\) | 1.67862 | − | 4.02272i | 0.136154 | − | 0.326285i | ||||
\(153\) | −10.7766 | − | 14.9245i | −0.871240 | − | 1.20657i | ||||
\(154\) | 9.41056 | − | 11.2151i | 0.758325 | − | 0.903736i | ||||
\(155\) | 7.80274 | − | 11.5807i | 0.626731 | − | 0.930188i | ||||
\(156\) | −4.47439 | − | 1.37512i | −0.358238 | − | 0.110098i | ||||
\(157\) | −16.5618 | − | 2.92028i | −1.32177 | − | 0.233064i | −0.532146 | − | 0.846653i | \(-0.678614\pi\) |
−0.789626 | + | 0.613589i | \(0.789725\pi\) | |||||||
\(158\) | 7.49975 | + | 2.72968i | 0.596648 | + | 0.217162i | ||||
\(159\) | −0.699089 | − | 13.7238i | −0.0554414 | − | 1.08837i | ||||
\(160\) | 0.234865 | + | 2.22370i | 0.0185677 | + | 0.175799i | ||||
\(161\) | 21.0373 | + | 25.0713i | 1.65797 | + | 1.97589i | ||||
\(162\) | −8.36425 | + | 3.32254i | −0.657158 | + | 0.261043i | ||||
\(163\) | −4.78129 | − | 2.76048i | −0.374499 | − | 0.216217i | 0.300923 | − | 0.953648i | \(-0.402705\pi\) |
−0.675422 | + | 0.737431i | \(0.736039\pi\) | |||||||
\(164\) | −2.95300 | − | 5.11475i | −0.230591 | − | 0.399395i | ||||
\(165\) | 2.73629 | − | 14.0056i | 0.213020 | − | 1.09033i | ||||
\(166\) | −4.52219 | − | 0.797384i | −0.350990 | − | 0.0618890i | ||||
\(167\) | 9.00117 | − | 1.58715i | 0.696531 | − | 0.122817i | 0.185838 | − | 0.982580i | \(-0.440500\pi\) |
0.510693 | + | 0.859763i | \(0.329389\pi\) | |||||||
\(168\) | 0.848711 | − | 6.82953i | 0.0654795 | − | 0.526910i | ||||
\(169\) | −4.36361 | − | 3.66150i | −0.335662 | − | 0.281654i | ||||
\(170\) | 11.0964 | − | 8.07062i | 0.851053 | − | 0.618988i | ||||
\(171\) | −1.55237 | + | 12.9842i | −0.118713 | + | 0.992929i | ||||
\(172\) | 9.72577i | 0.741583i | ||||||||
\(173\) | 11.1541 | − | 13.2930i | 0.848032 | − | 1.01065i | −0.151721 | − | 0.988423i | \(-0.548482\pi\) |
0.999753 | − | 0.0222218i | \(-0.00707402\pi\) | |||||||
\(174\) | 5.60319 | + | 0.696313i | 0.424777 | + | 0.0527874i | ||||
\(175\) | −2.74489 | + | 19.6763i | −0.207494 | + | 1.48739i | ||||
\(176\) | −3.62862 | − | 0.639823i | −0.273517 | − | 0.0482285i | ||||
\(177\) | −5.20405 | + | 4.83863i | −0.391160 | + | 0.363694i | ||||
\(178\) | 6.37950 | − | 3.68321i | 0.478164 | − | 0.276068i | ||||
\(179\) | −4.24912 | + | 7.35969i | −0.317594 | + | 0.550089i | −0.979986 | − | 0.199069i | \(-0.936208\pi\) |
0.662391 | + | 0.749158i | \(0.269542\pi\) | |||||||
\(180\) | −2.49789 | − | 6.22580i | −0.186182 | − | 0.464044i | ||||
\(181\) | 7.15652 | + | 8.52881i | 0.531940 | + | 0.633941i | 0.963361 | − | 0.268209i | \(-0.0864319\pi\) |
−0.431421 | + | 0.902151i | \(0.641987\pi\) | |||||||
\(182\) | −5.36908 | + | 9.29952i | −0.397983 | + | 0.689326i | ||||
\(183\) | 6.22821 | − | 0.317265i | 0.460402 | − | 0.0234529i | ||||
\(184\) | 2.81719 | − | 7.74016i | 0.207686 | − | 0.570612i | ||||
\(185\) | −11.0229 | + | 5.38319i | −0.810422 | + | 0.395780i | ||||
\(186\) | 10.3393 | + | 3.17759i | 0.758113 | + | 0.232992i | ||||
\(187\) | 7.73287 | + | 21.2459i | 0.565483 | + | 1.55365i | ||||
\(188\) | 8.28350 | + | 6.95068i | 0.604136 | + | 0.506930i | ||||
\(189\) | 3.14019 | + | 20.4060i | 0.228415 | + | 1.48432i | ||||
\(190\) | −9.68179 | − | 1.12380i | −0.702391 | − | 0.0815289i | ||||
\(191\) | − | 10.7405i | − | 0.777158i | −0.921415 | − | 0.388579i | \(-0.872966\pi\) | ||
0.921415 | − | 0.388579i | \(-0.127034\pi\) | |||||||
\(192\) | −1.59535 | + | 0.674431i | −0.115134 | + | 0.0486729i | ||||
\(193\) | −2.36363 | + | 0.860293i | −0.170138 | + | 0.0619252i | −0.425685 | − | 0.904871i | \(-0.639967\pi\) |
0.255547 | + | 0.966797i | \(0.417745\pi\) | |||||||
\(194\) | 7.81254 | − | 1.37756i | 0.560908 | − | 0.0989032i | ||||
\(195\) | −0.192664 | + | 10.4651i | −0.0137969 | + | 0.749422i | ||||
\(196\) | −8.25764 | − | 3.00554i | −0.589832 | − | 0.214681i | ||||
\(197\) | −2.03754 | − | 3.52912i | −0.145168 | − | 0.251439i | 0.784267 | − | 0.620423i | \(-0.213039\pi\) |
−0.929436 | + | 0.368984i | \(0.879706\pi\) | |||||||
\(198\) | 10.9966 | − | 1.12324i | 0.781492 | − | 0.0798255i | ||||
\(199\) | 14.4450 | − | 12.1208i | 1.02398 | − | 0.859219i | 0.0338557 | − | 0.999427i | \(-0.489221\pi\) |
0.990122 | + | 0.140207i | \(0.0447769\pi\) | |||||||
\(200\) | 4.63401 | − | 1.87775i | 0.327674 | − | 0.132777i | ||||
\(201\) | 4.96193 | + | 7.66525i | 0.349988 | + | 0.540665i | ||||
\(202\) | −3.36418 | − | 5.82693i | −0.236703 | − | 0.409981i | ||||
\(203\) | 4.43009 | − | 12.1716i | 0.310931 | − | 0.854277i | ||||
\(204\) | 8.47868 | + | 6.40863i | 0.593627 | + | 0.448694i | ||||
\(205\) | −9.16899 | + | 9.50444i | −0.640390 | + | 0.663819i | ||||
\(206\) | −5.44054 | − | 14.9478i | −0.379061 | − | 1.04146i | ||||
\(207\) | −1.79590 | + | 24.6454i | −0.124823 | + | 1.71297i | ||||
\(208\) | 2.70254 | 0.187387 | ||||||||
\(209\) | 6.18504 | − | 14.8221i | 0.427828 | − | 1.02526i | ||||
\(210\) | −15.2016 | + | 2.39282i | −1.04901 | + | 0.165120i | ||||
\(211\) | −11.8644 | + | 14.1394i | −0.816776 | + | 0.973396i | −0.999953 | − | 0.00968393i | \(-0.996917\pi\) |
0.183177 | + | 0.983080i | \(0.441362\pi\) | |||||||
\(212\) | 2.71349 | + | 7.45524i | 0.186363 | + | 0.512028i | ||||
\(213\) | 1.48834 | + | 0.457415i | 0.101979 | + | 0.0313416i | ||||
\(214\) | 2.28159 | − | 12.9395i | 0.155966 | − | 0.884529i | ||||
\(215\) | 20.9020 | − | 6.00506i | 1.42550 | − | 0.409542i | ||||
\(216\) | 4.05249 | − | 3.25228i | 0.275737 | − | 0.221290i | ||||
\(217\) | 12.4067 | − | 21.4890i | 0.842222 | − | 1.45877i | ||||
\(218\) | −1.58042 | + | 1.32613i | −0.107040 | + | 0.0898171i | ||||
\(219\) | −0.313486 | + | 0.0718907i | −0.0211834 | + | 0.00485793i | ||||
\(220\) | 0.865383 | + | 8.19343i | 0.0583441 | + | 0.552401i | ||||
\(221\) | −8.29165 | − | 14.3616i | −0.557757 | − | 0.966063i | ||||
\(222\) | −6.47025 | − | 6.95889i | −0.434255 | − | 0.467050i | ||||
\(223\) | 4.09234 | − | 23.2088i | 0.274043 | − | 1.55418i | −0.467940 | − | 0.883760i | \(-0.655004\pi\) |
0.741984 | − | 0.670418i | \(-0.233885\pi\) | |||||||
\(224\) | 0.689967 | + | 3.91300i | 0.0461004 | + | 0.261448i | ||||
\(225\) | −11.8378 | + | 9.21234i | −0.789185 | + | 0.614156i | ||||
\(226\) | 3.63404 | + | 3.04932i | 0.241733 | + | 0.202838i | ||||
\(227\) | − | 13.1734i | − | 0.874346i | −0.899377 | − | 0.437173i | \(-0.855980\pi\) | ||
0.899377 | − | 0.437173i | \(-0.144020\pi\) | |||||||
\(228\) | −1.34553 | − | 7.42897i | −0.0891097 | − | 0.491995i | ||||
\(229\) | 5.99830 | 0.396379 | 0.198189 | − | 0.980164i | \(-0.436494\pi\) | ||||
0.198189 | + | 0.980164i | \(0.436494\pi\) | |||||||
\(230\) | −18.3741 | − | 1.27544i | −1.21155 | − | 0.0841000i | ||||
\(231\) | 3.12716 | − | 25.1641i | 0.205752 | − | 1.65567i | ||||
\(232\) | −3.21036 | + | 0.566074i | −0.210771 | + | 0.0371646i | ||||
\(233\) | −2.18985 | + | 12.4192i | −0.143462 | + | 0.813612i | 0.825128 | + | 0.564946i | \(0.191103\pi\) |
−0.968589 | + | 0.248666i | \(0.920008\pi\) | |||||||
\(234\) | −7.80005 | + | 2.21193i | −0.509905 | + | 0.144599i | ||||
\(235\) | 9.82338 | − | 22.0940i | 0.640807 | − | 1.44125i | ||||
\(236\) | 2.05131 | − | 3.55297i | 0.133529 | − | 0.231279i | ||||
\(237\) | 13.4738 | − | 3.08991i | 0.875221 | − | 0.200712i | ||||
\(238\) | 18.6772 | − | 15.6720i | 1.21066 | − | 1.01587i | ||||
\(239\) | −8.75603 | − | 5.05530i | −0.566381 | − | 0.327000i | 0.189322 | − | 0.981915i | \(-0.439371\pi\) |
−0.755703 | + | 0.654915i | \(0.772704\pi\) | |||||||
\(240\) | 2.43447 | + | 3.01220i | 0.157145 | + | 0.194437i | ||||
\(241\) | −4.41995 | + | 12.1437i | −0.284714 | + | 0.782246i | 0.712070 | + | 0.702109i | \(0.247758\pi\) |
−0.996784 | + | 0.0801370i | \(0.974464\pi\) | |||||||
\(242\) | −2.53711 | − | 0.447361i | −0.163092 | − | 0.0287575i | ||||
\(243\) | −9.03440 | + | 12.7035i | −0.579557 | + | 0.814932i | ||||
\(244\) | −3.38338 | + | 1.23145i | −0.216599 | + | 0.0788355i | ||||
\(245\) | −1.36071 | + | 19.6025i | −0.0869326 | + | 1.25236i | ||||
\(246\) | −9.10775 | − | 4.65744i | −0.580689 | − | 0.296947i | ||||
\(247\) | −2.57979 | + | 11.4941i | −0.164148 | + | 0.731355i | ||||
\(248\) | −6.24494 | −0.396554 | ||||||||
\(249\) | −7.32577 | + | 3.09696i | −0.464252 | + | 0.196262i | ||||
\(250\) | −6.89675 | − | 8.79970i | −0.436189 | − | 0.556542i | ||||
\(251\) | −10.9660 | + | 1.93359i | −0.692165 | + | 0.122047i | −0.508655 | − | 0.860970i | \(-0.669857\pi\) |
−0.183510 | + | 0.983018i | \(0.558746\pi\) | |||||||
\(252\) | −5.19403 | − | 10.7290i | −0.327193 | − | 0.675861i | ||||
\(253\) | 10.3802 | − | 28.5194i | 0.652598 | − | 1.79300i | ||||
\(254\) | −2.69342 | + | 1.55504i | −0.169000 | + | 0.0975722i | ||||
\(255\) | 8.53793 | − | 22.1787i | 0.534666 | − | 1.38889i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 0.457732 | + | 0.545503i | 0.0285525 | + | 0.0340276i | 0.780132 | − | 0.625615i | \(-0.215152\pi\) |
−0.751579 | + | 0.659643i | \(0.770708\pi\) | |||||||
\(258\) | 9.15404 | + | 14.1413i | 0.569906 | + | 0.880397i | ||||
\(259\) | −18.8777 | + | 10.8990i | −1.17300 | + | 0.677233i | ||||
\(260\) | −1.66865 | − | 5.80811i | −0.103485 | − | 0.360204i | ||||
\(261\) | 8.80242 | − | 4.26137i | 0.544856 | − | 0.263772i | ||||
\(262\) | −2.90098 | − | 16.4523i | −0.179223 | − | 1.01642i | ||||
\(263\) | −14.9588 | + | 5.44456i | −0.922400 | + | 0.335726i | −0.759193 | − | 0.650866i | \(-0.774406\pi\) |
−0.163207 | + | 0.986592i | \(0.552184\pi\) | |||||||
\(264\) | −5.87822 | + | 2.48501i | −0.361780 | + | 0.152942i | ||||
\(265\) | 14.3469 | − | 10.4348i | 0.881323 | − | 0.641004i | ||||
\(266\) | −17.3010 | − | 0.800779i | −1.06079 | − | 0.0490989i | ||||
\(267\) | 5.80910 | − | 11.3599i | 0.355511 | − | 0.695212i | ||||
\(268\) | −4.03846 | − | 3.38867i | −0.246688 | − | 0.206996i | ||||
\(269\) | 18.9131 | − | 6.88381i | 1.15315 | − | 0.419713i | 0.306506 | − | 0.951869i | \(-0.400840\pi\) |
0.846646 | + | 0.532156i | \(0.178618\pi\) | |||||||
\(270\) | −9.49174 | − | 6.70126i | −0.577649 | − | 0.407826i | ||||
\(271\) | −1.80247 | + | 10.2223i | −0.109492 | + | 0.620963i | 0.879838 | + | 0.475274i | \(0.157651\pi\) |
−0.989330 | + | 0.145689i | \(0.953460\pi\) | |||||||
\(272\) | −5.76613 | − | 2.09870i | −0.349623 | − | 0.127252i | ||||
\(273\) | 0.946208 | + | 18.5750i | 0.0572671 | + | 1.12421i | ||||
\(274\) | 5.14173 | + | 2.96858i | 0.310623 | + | 0.179338i | ||||
\(275\) | 17.0745 | − | 6.91876i | 1.02963 | − | 0.417217i | ||||
\(276\) | −3.18897 | − | 13.9058i | −0.191953 | − | 0.837029i | ||||
\(277\) | 4.79388 | + | 2.76775i | 0.288036 | + | 0.166298i | 0.637056 | − | 0.770818i | \(-0.280152\pi\) |
−0.349020 | + | 0.937115i | \(0.613485\pi\) | |||||||
\(278\) | 13.2005 | − | 7.62130i | 0.791712 | − | 0.457095i | ||||
\(279\) | 18.0241 | − | 5.11127i | 1.07908 | − | 0.306004i | ||||
\(280\) | 7.98354 | − | 3.89886i | 0.477108 | − | 0.233002i | ||||
\(281\) | −4.66377 | − | 26.4496i | −0.278217 | − | 1.57785i | −0.728553 | − | 0.684990i | \(-0.759807\pi\) |
0.450335 | − | 0.892860i | \(-0.351305\pi\) | |||||||
\(282\) | 18.5863 | + | 2.30973i | 1.10680 | + | 0.137543i | ||||
\(283\) | −11.5989 | + | 13.8230i | −0.689483 | + | 0.821693i | −0.991293 | − | 0.131675i | \(-0.957965\pi\) |
0.301810 | + | 0.953368i | \(0.402409\pi\) | |||||||
\(284\) | −0.898960 | −0.0533435 | ||||||||
\(285\) | −15.1351 | + | 7.47865i | −0.896523 | + | 0.442997i | ||||
\(286\) | 9.95776 | 0.588815 | ||||||||
\(287\) | −15.0841 | + | 17.9765i | −0.890387 | + | 1.06112i | ||||
\(288\) | −1.68485 | + | 2.48219i | −0.0992809 | + | 0.146264i | ||||
\(289\) | 3.58633 | + | 20.3391i | 0.210961 | + | 1.19642i | ||||
\(290\) | 3.19877 | + | 6.54998i | 0.187838 | + | 0.384628i | ||||
\(291\) | 10.0629 | − | 9.35626i | 0.589895 | − | 0.548474i | ||||
\(292\) | 0.160812 | − | 0.0928447i | 0.00941080 | − | 0.00543333i | ||||
\(293\) | 6.53655 | + | 3.77388i | 0.381870 | + | 0.220472i | 0.678631 | − | 0.734479i | \(-0.262573\pi\) |
−0.296762 | + | 0.954952i | \(0.595907\pi\) | |||||||
\(294\) | −14.8355 | + | 3.40217i | −0.865222 | + | 0.198419i | ||||
\(295\) | −8.90237 | − | 2.21480i | −0.518316 | − | 0.128950i | ||||
\(296\) | 4.75106 | + | 2.74303i | 0.276150 | + | 0.159435i | ||||
\(297\) | 14.9318 | − | 11.9833i | 0.866431 | − | 0.695344i | ||||
\(298\) | −15.2101 | − | 5.53602i | −0.881097 | − | 0.320693i | ||||
\(299\) | −3.86551 | + | 21.9224i | −0.223548 | + | 1.26780i | ||||
\(300\) | 4.97048 | − | 7.09185i | 0.286971 | − | 0.409448i | ||||
\(301\) | 36.3135 | − | 13.2170i | 2.09307 | − | 0.761817i | ||||
\(302\) | −2.24138 | − | 1.88074i | −0.128977 | − | 0.108225i | ||||
\(303\) | −10.3759 | − | 5.30594i | −0.596080 | − | 0.304818i | ||||
\(304\) | 2.00258 | + | 3.87165i | 0.114856 | + | 0.222054i | ||||
\(305\) | 4.73558 | + | 6.51099i | 0.271158 | + | 0.372818i | ||||
\(306\) | 18.3599 | + | 1.33788i | 1.04957 | + | 0.0764813i | ||||
\(307\) | 25.8542 | − | 9.41014i | 1.47557 | − | 0.537065i | 0.525967 | − | 0.850505i | \(-0.323704\pi\) |
0.949608 | + | 0.313440i | \(0.101481\pi\) | |||||||
\(308\) | 2.54225 | + | 14.4178i | 0.144858 | + | 0.821531i | ||||
\(309\) | −21.9796 | − | 16.6133i | −1.25038 | − | 0.945099i | ||||
\(310\) | 3.85587 | + | 13.4212i | 0.218998 | + | 0.762273i | ||||
\(311\) | −13.6726 | + | 7.89390i | −0.775304 | + | 0.447622i | −0.834763 | − | 0.550609i | \(-0.814396\pi\) |
0.0594596 | + | 0.998231i | \(0.481062\pi\) | |||||||
\(312\) | 3.92949 | − | 2.54367i | 0.222464 | − | 0.144007i | ||||
\(313\) | 8.66681 | + | 10.3287i | 0.489877 | + | 0.583813i | 0.953186 | − | 0.302384i | \(-0.0977825\pi\) |
−0.463309 | + | 0.886197i | \(0.653338\pi\) | |||||||
\(314\) | 12.8828 | − | 10.8099i | 0.727016 | − | 0.610039i | ||||
\(315\) | −19.8509 | + | 17.7871i | −1.11847 | + | 1.00219i | ||||
\(316\) | −6.91180 | + | 3.99053i | −0.388819 | + | 0.224485i | ||||
\(317\) | 5.96430 | − | 16.3868i | 0.334988 | − | 0.920373i | −0.651805 | − | 0.758387i | \(-0.725988\pi\) |
0.986793 | − | 0.161986i | \(-0.0517899\pi\) | |||||||
\(318\) | 10.9624 | + | 8.28595i | 0.614741 | + | 0.464653i | ||||
\(319\) | −11.8289 | + | 2.08575i | −0.662291 | + | 0.116780i | ||||
\(320\) | −1.85442 | − | 1.24945i | −0.103665 | − | 0.0698463i | ||||
\(321\) | −8.86146 | − | 20.9616i | −0.494598 | − | 1.16996i | ||||
\(322\) | −32.7282 | −1.82387 | ||||||||
\(323\) | 14.4302 | − | 22.5205i | 0.802918 | − | 1.25307i | ||||
\(324\) | 2.83123 | − | 8.54308i | 0.157290 | − | 0.474615i | ||||
\(325\) | −11.4521 | + | 7.17230i | −0.635249 | + | 0.397848i | ||||
\(326\) | 5.18800 | − | 1.88828i | 0.287337 | − | 0.104582i | ||||
\(327\) | −1.04976 | + | 3.41572i | −0.0580518 | + | 0.188890i | ||||
\(328\) | 5.81628 | + | 1.02557i | 0.321151 | + | 0.0566275i | ||||
\(329\) | 14.6950 | − | 40.3742i | 0.810162 | − | 2.22590i | ||||
\(330\) | 8.97005 | + | 11.0987i | 0.493785 | + | 0.610965i | ||||
\(331\) | −10.3770 | − | 5.99116i | −0.570371 | − | 0.329304i | 0.186927 | − | 0.982374i | \(-0.440147\pi\) |
−0.757297 | + | 0.653070i | \(0.773481\pi\) | |||||||
\(332\) | 3.51764 | − | 2.95165i | 0.193056 | − | 0.161993i | ||||
\(333\) | −15.9575 | − | 4.02832i | −0.874468 | − | 0.220751i | ||||
\(334\) | −4.57001 | + | 7.91549i | −0.250060 | + | 0.433117i | ||||
\(335\) | −4.78920 | + | 10.7715i | −0.261662 | + | 0.588509i | ||||
\(336\) | 4.68618 | + | 5.04009i | 0.255652 | + | 0.274959i | ||||
\(337\) | 3.86733 | − | 21.9327i | 0.210667 | − | 1.19475i | −0.677603 | − | 0.735428i | \(-0.736981\pi\) |
0.888270 | − | 0.459323i | \(-0.151908\pi\) | |||||||
\(338\) | 5.60974 | − | 0.989149i | 0.305130 | − | 0.0538026i | ||||
\(339\) | 8.15396 | + | 1.01330i | 0.442862 | + | 0.0550349i | ||||
\(340\) | −0.950155 | + | 13.6880i | −0.0515294 | + | 0.742336i | ||||
\(341\) | −23.0101 | −1.24607 | ||||||||
\(342\) | −8.94865 | − | 9.53528i | −0.483888 | − | 0.515609i | ||||
\(343\) | 7.10278i | 0.383514i | ||||||||
\(344\) | −7.45037 | − | 6.25160i | −0.401697 | − | 0.337064i | ||||
\(345\) | −27.9164 | + | 15.4395i | −1.50297 | + | 0.831233i | ||||
\(346\) | 3.01327 | + | 17.0891i | 0.161994 | + | 0.918716i | ||||
\(347\) | 0.402185 | − | 2.28090i | 0.0215904 | − | 0.122445i | −0.972108 | − | 0.234535i | \(-0.924643\pi\) |
0.993698 | + | 0.112090i | \(0.0357544\pi\) | |||||||
\(348\) | −4.13507 | + | 3.84471i | −0.221663 | + | 0.206098i | ||||
\(349\) | 4.07912 | + | 7.06525i | 0.218350 | + | 0.378194i | 0.954304 | − | 0.298838i | \(-0.0965991\pi\) |
−0.735953 | + | 0.677032i | \(0.763266\pi\) | |||||||
\(350\) | −13.3085 | − | 14.7504i | −0.711370 | − | 0.788440i | ||||
\(351\) | −9.25936 | + | 10.5577i | −0.494228 | + | 0.563527i | ||||
\(352\) | 2.82256 | − | 2.36841i | 0.150443 | − | 0.126237i | ||||
\(353\) | −1.15242 | + | 1.99605i | −0.0613372 | + | 0.106239i | −0.895063 | − | 0.445939i | \(-0.852870\pi\) |
0.833726 | + | 0.552178i | \(0.186203\pi\) | |||||||
\(354\) | −0.361508 | − | 7.09675i | −0.0192139 | − | 0.377188i | ||||
\(355\) | 0.555052 | + | 1.93198i | 0.0294591 | + | 0.102539i | ||||
\(356\) | −1.27916 | + | 7.25450i | −0.0677956 | + | 0.384488i | ||||
\(357\) | 12.4059 | − | 40.3663i | 0.656588 | − | 2.13641i | ||||
\(358\) | −2.90657 | − | 7.98573i | −0.153617 | − | 0.422059i | ||||
\(359\) | 8.80452 | − | 10.4928i | 0.464685 | − | 0.553790i | −0.481908 | − | 0.876222i | \(-0.660056\pi\) |
0.946593 | + | 0.322432i | \(0.104500\pi\) | |||||||
\(360\) | 6.37485 | + | 2.08837i | 0.335984 | + | 0.110067i | ||||
\(361\) | −18.3781 | + | 4.82136i | −0.967268 | + | 0.253756i | ||||
\(362\) | −11.1336 | −0.585167 | ||||||||
\(363\) | −4.11002 | + | 1.73751i | −0.215720 | + | 0.0911954i | ||||
\(364\) | −3.67267 | − | 10.0906i | −0.192500 | − | 0.528890i | ||||
\(365\) | −0.298827 | − | 0.288280i | −0.0156413 | − | 0.0150893i | ||||
\(366\) | −3.76038 | + | 4.97502i | −0.196558 | + | 0.260048i | ||||
\(367\) | −1.22644 | + | 3.36962i | −0.0640197 | + | 0.175893i | −0.967578 | − | 0.252573i | \(-0.918723\pi\) |
0.903558 | + | 0.428465i | \(0.140946\pi\) | |||||||
\(368\) | 4.11845 | + | 7.13337i | 0.214689 | + | 0.371853i | ||||
\(369\) | −17.6263 | + | 1.80044i | −0.917589 | + | 0.0937272i | ||||
\(370\) | 2.96164 | − | 11.9043i | 0.153968 | − | 0.618875i | ||||
\(371\) | 24.1484 | − | 20.2629i | 1.25372 | − | 1.05200i | ||||
\(372\) | −9.08014 | + | 5.87783i | −0.470783 | + | 0.304751i | ||||
\(373\) | 15.6386 | + | 27.0868i | 0.809734 | + | 1.40250i | 0.913048 | + | 0.407852i | \(0.133722\pi\) |
−0.103314 | + | 0.994649i | \(0.532945\pi\) | |||||||
\(374\) | −21.2459 | − | 7.73287i | −1.09860 | − | 0.399857i | ||||
\(375\) | −18.3103 | − | 6.30343i | −0.945539 | − | 0.325508i | ||||
\(376\) | −10.6491 | + | 1.87772i | −0.549183 | + | 0.0968358i | ||||
\(377\) | 8.27867 | − | 3.01319i | 0.426373 | − | 0.155187i | ||||
\(378\) | −17.6504 | − | 10.7112i | −0.907837 | − | 0.550924i | ||||
\(379\) | 25.0952i | 1.28906i | 0.764581 | + | 0.644528i | \(0.222946\pi\) | ||||
−0.764581 | + | 0.644528i | \(0.777054\pi\) | |||||||
\(380\) | 7.08421 | − | 6.69432i | 0.363413 | − | 0.343411i | ||||
\(381\) | −2.45259 | + | 4.79612i | −0.125650 | + | 0.245713i | ||||
\(382\) | 8.22773 | + | 6.90388i | 0.420967 | + | 0.353233i | ||||
\(383\) | 7.67222 | + | 21.0793i | 0.392032 | + | 1.07710i | 0.966072 | + | 0.258272i | \(0.0831532\pi\) |
−0.574040 | + | 0.818827i | \(0.694625\pi\) | |||||||
\(384\) | 0.508827 | − | 1.65563i | 0.0259660 | − | 0.0844883i | ||||
\(385\) | 29.4161 | − | 14.3657i | 1.49918 | − | 0.732146i | ||||
\(386\) | 0.860293 | − | 2.36363i | 0.0437877 | − | 0.120306i | ||||
\(387\) | 26.6199 | + | 11.9455i | 1.35317 | + | 0.607222i | ||||
\(388\) | −3.96653 | + | 6.87024i | −0.201370 | + | 0.348783i | ||||
\(389\) | 14.4837 | + | 17.2610i | 0.734351 | + | 0.875166i | 0.995941 | − | 0.0900135i | \(-0.0286910\pi\) |
−0.261589 | + | 0.965179i | \(0.584247\pi\) | |||||||
\(390\) | −7.89290 | − | 6.87443i | −0.399673 | − | 0.348101i | ||||
\(391\) | 25.2716 | − | 43.7717i | 1.27804 | − | 2.21363i | ||||
\(392\) | 7.61029 | − | 4.39380i | 0.384377 | − | 0.221920i | ||||
\(393\) | −19.7031 | − | 21.1911i | −0.993892 | − | 1.06895i | ||||
\(394\) | 4.01316 | + | 0.707629i | 0.202180 | + | 0.0356498i | ||||
\(395\) | 12.8438 | + | 12.3905i | 0.646241 | + | 0.623433i | ||||
\(396\) | −6.20800 | + | 9.14587i | −0.311964 | + | 0.459597i | ||||
\(397\) | −4.43134 | + | 5.28107i | −0.222403 | + | 0.265049i | −0.865695 | − | 0.500571i | \(-0.833123\pi\) |
0.643293 | + | 0.765620i | \(0.277568\pi\) | |||||||
\(398\) | 18.8566i | 0.945195i | ||||||||
\(399\) | −25.9093 | + | 15.1196i | −1.29709 | + | 0.756926i | ||||
\(400\) | −1.54024 | + | 4.75685i | −0.0770121 | + | 0.237843i | ||||
\(401\) | −7.74218 | − | 6.49646i | −0.386626 | − | 0.324418i | 0.428671 | − | 0.903461i | \(-0.358982\pi\) |
−0.815297 | + | 0.579043i | \(0.803426\pi\) | |||||||
\(402\) | −9.06139 | − | 1.12607i | −0.451941 | − | 0.0561631i | ||||
\(403\) | 16.6208 | − | 2.93069i | 0.827941 | − | 0.145988i | ||||
\(404\) | 6.62614 | + | 1.16837i | 0.329663 | + | 0.0581284i | ||||
\(405\) | −20.1083 | − | 0.809857i | −0.999190 | − | 0.0402421i | ||||
\(406\) | 6.47636 | + | 11.2174i | 0.321416 | + | 0.556709i | ||||
\(407\) | 17.5057 | + | 10.1069i | 0.867727 | + | 0.500983i | ||||
\(408\) | −10.3593 | + | 2.37566i | −0.512861 | + | 0.117613i | ||||
\(409\) | 1.87803 | + | 2.23815i | 0.0928625 | + | 0.110669i | 0.810475 | − | 0.585774i | \(-0.199209\pi\) |
−0.717612 | + | 0.696443i | \(0.754765\pi\) | |||||||
\(410\) | −1.38712 | − | 13.1332i | −0.0685047 | − | 0.648602i | ||||
\(411\) | 10.2701 | − | 0.523161i | 0.506589 | − | 0.0258056i | ||||
\(412\) | 14.9478 | + | 5.44054i | 0.736424 | + | 0.268036i | ||||
\(413\) | −16.0535 | − | 2.83067i | −0.789943 | − | 0.139288i | ||||
\(414\) | −17.7251 | − | 17.2175i | −0.871140 | − | 0.846193i | ||||
\(415\) | −8.51541 | − | 5.73741i | −0.418005 | − | 0.281638i | ||||
\(416\) | −1.73716 | + | 2.07026i | −0.0851712 | + | 0.101503i | ||||
\(417\) | 12.0202 | − | 23.5059i | 0.588632 | − | 1.15109i | ||||
\(418\) | 7.37871 | + | 14.2655i | 0.360904 | + | 0.697747i | ||||
\(419\) | 36.0163i | 1.75951i | 0.475426 | + | 0.879755i | \(0.342294\pi\) | ||||
−0.475426 | + | 0.879755i | \(0.657706\pi\) | |||||||
\(420\) | 7.93839 | − | 13.1832i | 0.387354 | − | 0.643273i | ||||
\(421\) | 7.36495 | + | 20.2350i | 0.358946 | + | 0.986195i | 0.979396 | + | 0.201949i | \(0.0647276\pi\) |
−0.620450 | + | 0.784246i | \(0.713050\pi\) | |||||||
\(422\) | −3.20514 | − | 18.1773i | −0.156024 | − | 0.884855i | ||||
\(423\) | 29.1984 | − | 14.1353i | 1.41968 | − | 0.687284i | ||||
\(424\) | −7.45524 | − | 2.71349i | −0.362059 | − | 0.131779i | ||||
\(425\) | 30.0040 | − | 6.40949i | 1.45541 | − | 0.310906i | ||||
\(426\) | −1.30709 | + | 0.846115i | −0.0633286 | + | 0.0409944i | ||||
\(427\) | 9.19583 | + | 10.9592i | 0.445017 | + | 0.530351i | ||||
\(428\) | 8.44569 | + | 10.0652i | 0.408238 | + | 0.486519i | ||||
\(429\) | 14.4786 | − | 9.37240i | 0.699033 | − | 0.452504i | ||||
\(430\) | −8.83538 | + | 19.8718i | −0.426080 | + | 0.958304i | ||||
\(431\) | −1.58649 | − | 0.577434i | −0.0764184 | − | 0.0278140i | 0.303528 | − | 0.952822i | \(-0.401835\pi\) |
−0.379946 | + | 0.925008i | \(0.624058\pi\) | |||||||
\(432\) | −0.113501 | + | 5.19491i | −0.00546081 | + | 0.249940i | ||||
\(433\) | −0.787161 | − | 4.46421i | −0.0378285 | − | 0.214536i | 0.960034 | − | 0.279883i | \(-0.0902957\pi\) |
−0.997863 | + | 0.0653468i | \(0.979185\pi\) | |||||||
\(434\) | 8.48668 | + | 23.3170i | 0.407374 | + | 1.11925i | ||||
\(435\) | 10.8159 | + | 6.51294i | 0.518585 | + | 0.312271i | ||||
\(436\) | − | 2.06310i | − | 0.0988045i | ||||||
\(437\) | −34.2703 | + | 10.7068i | −1.63937 | + | 0.512175i | ||||
\(438\) | 0.146433 | − | 0.286355i | 0.00699686 | − | 0.0136826i | ||||
\(439\) | 1.65001 | − | 1.96640i | 0.0787507 | − | 0.0938514i | −0.725230 | − | 0.688506i | \(-0.758267\pi\) |
0.803981 | + | 0.594655i | \(0.202711\pi\) | |||||||
\(440\) | −6.83279 | − | 4.60372i | −0.325741 | − | 0.219474i | ||||
\(441\) | −18.3686 | + | 18.9101i | −0.874694 | + | 0.900482i | ||||
\(442\) | 16.3314 | + | 2.87966i | 0.776804 | + | 0.136971i | ||||
\(443\) | −1.87712 | − | 0.683216i | −0.0891846 | − | 0.0324606i | 0.297043 | − | 0.954864i | \(-0.404000\pi\) |
−0.386227 | + | 0.922404i | \(0.626222\pi\) | |||||||
\(444\) | 9.48981 | − | 0.483411i | 0.450367 | − | 0.0229417i | ||||
\(445\) | 16.3807 | − | 1.73011i | 0.776519 | − | 0.0820152i | ||||
\(446\) | 15.1485 | + | 18.0533i | 0.717301 | + | 0.854847i | ||||
\(447\) | −27.3261 | + | 6.26660i | −1.29248 | + | 0.296400i | ||||
\(448\) | −3.44103 | − | 1.98668i | −0.162573 | − | 0.0938618i | ||||
\(449\) | −1.10040 | − | 1.90595i | −0.0519313 | − | 0.0899476i | 0.838891 | − | 0.544299i | \(-0.183204\pi\) |
−0.890822 | + | 0.454352i | \(0.849871\pi\) | |||||||
\(450\) | 0.552115 | − | 14.9898i | 0.0260270 | − | 0.706628i | ||||
\(451\) | 21.4307 | + | 3.77880i | 1.00913 | + | 0.177937i | ||||
\(452\) | −4.67183 | + | 0.823770i | −0.219745 | + | 0.0387469i | ||||
\(453\) | −5.02915 | − | 0.624977i | −0.236290 | − | 0.0293640i | ||||
\(454\) | 10.0914 | + | 8.46767i | 0.473612 | + | 0.397407i | ||||
\(455\) | −19.4183 | + | 14.1234i | −0.910345 | + | 0.662113i | ||||
\(456\) | 6.55581 | + | 3.74451i | 0.307004 | + | 0.175353i | ||||
\(457\) | − | 8.79212i | − | 0.411278i | −0.978628 | − | 0.205639i | \(-0.934073\pi\) | ||
0.978628 | − | 0.205639i | \(-0.0659273\pi\) | |||||||
\(458\) | −3.85563 | + | 4.59496i | −0.180162 | + | 0.214709i | ||||
\(459\) | 27.9545 | − | 15.3353i | 1.30480 | − | 0.715792i | ||||
\(460\) | 12.7877 | − | 13.2555i | 0.596228 | − | 0.618042i | ||||
\(461\) | 24.2749 | + | 4.28032i | 1.13060 | + | 0.199355i | 0.707488 | − | 0.706725i | \(-0.249828\pi\) |
0.423108 | + | 0.906079i | \(0.360939\pi\) | |||||||
\(462\) | 17.2667 | + | 18.5707i | 0.803319 | + | 0.863987i | ||||
\(463\) | −32.2406 | + | 18.6141i | −1.49835 | + | 0.865072i | −0.999998 | − | 0.00190400i | \(-0.999394\pi\) |
−0.498350 | + | 0.866976i | \(0.666061\pi\) | |||||||
\(464\) | 1.62994 | − | 2.82315i | 0.0756683 | − | 0.131061i | ||||
\(465\) | 18.2387 | + | 15.8852i | 0.845798 | + | 0.736660i | ||||
\(466\) | −8.10609 | − | 9.66046i | −0.375507 | − | 0.447512i | ||||
\(467\) | −13.7662 | + | 23.8438i | −0.637024 | + | 1.10336i | 0.349058 | + | 0.937101i | \(0.386502\pi\) |
−0.986082 | + | 0.166257i | \(0.946832\pi\) | |||||||
\(468\) | 3.31934 | − | 7.39699i | 0.153436 | − | 0.341926i | ||||
\(469\) | −7.16427 | + | 19.6837i | −0.330815 | + | 0.908907i | ||||
\(470\) | 10.6106 | + | 21.7269i | 0.489430 | + | 1.00219i | ||||
\(471\) | 8.55707 | − | 27.8431i | 0.394289 | − | 1.28294i | ||||
\(472\) | 1.40318 | + | 3.85520i | 0.0645866 | + | 0.177450i | ||||
\(473\) | −27.4516 | − | 23.0346i | −1.26223 | − | 1.05913i | ||||
\(474\) | −6.29381 | + | 12.3077i | −0.289084 | + | 0.565313i | ||||
\(475\) | −18.7610 | − | 11.0916i | −0.860816 | − | 0.508917i | ||||
\(476\) | 24.3813i | 1.11752i | ||||||||
\(477\) | 23.7382 | + | 1.72979i | 1.08690 | + | 0.0792016i | ||||
\(478\) | 9.50085 | − | 3.45803i | 0.434559 | − | 0.158167i | ||||
\(479\) | −31.5808 | + | 5.56855i | −1.44296 | + | 0.254434i | −0.839675 | − | 0.543089i | \(-0.817255\pi\) |
−0.603289 | + | 0.797522i | \(0.706144\pi\) | |||||||
\(480\) | −3.87233 | − | 0.0712898i | −0.176747 | − | 0.00325392i | ||||
\(481\) | −13.9321 | − | 5.07088i | −0.635251 | − | 0.231212i | ||||
\(482\) | −6.46154 | − | 11.1917i | −0.294315 | − | 0.509769i | ||||
\(483\) | −47.5868 | + | 30.8043i | −2.16527 | + | 1.40164i | ||||
\(484\) | 1.97352 | − | 1.65598i | 0.0897056 | − | 0.0752719i | ||||
\(485\) | 17.2141 | + | 4.28266i | 0.781654 | + | 0.194465i | ||||
\(486\) | −3.92427 | − | 15.0864i | −0.178009 | − | 0.684334i | ||||
\(487\) | −13.4375 | − | 23.2745i | −0.608913 | − | 1.05467i | −0.991420 | − | 0.130716i | \(-0.958272\pi\) |
0.382507 | − | 0.923953i | \(-0.375061\pi\) | |||||||
\(488\) | 1.23145 | − | 3.38338i | 0.0557451 | − | 0.153158i | ||||
\(489\) | 5.76607 | − | 7.62858i | 0.260751 | − | 0.344976i | ||||
\(490\) | −14.1417 | − | 13.6426i | −0.638859 | − | 0.616310i | ||||
\(491\) | 5.69402 | + | 15.6442i | 0.256968 | + | 0.706013i | 0.999350 | + | 0.0360368i | \(0.0114734\pi\) |
−0.742383 | + | 0.669976i | \(0.766304\pi\) | |||||||
\(492\) | 9.42215 | − | 3.98320i | 0.424783 | − | 0.179576i | ||||
\(493\) | −20.0033 | −0.900903 | ||||||||
\(494\) | −7.14677 | − | 9.36453i | −0.321548 | − | 0.421330i | ||||
\(495\) | 23.4887 | + | 7.69481i | 1.05574 | + | 0.345856i | ||||
\(496\) | 4.01417 | − | 4.78390i | 0.180242 | − | 0.214804i | ||||
\(497\) | 1.22166 | + | 3.35648i | 0.0547989 | + | 0.150559i | ||||
\(498\) | 2.33651 | − | 7.60255i | 0.104701 | − | 0.340679i | ||||
\(499\) | 0.205740 | − | 1.16681i | 0.00921017 | − | 0.0522335i | −0.979856 | − | 0.199704i | \(-0.936002\pi\) |
0.989066 | + | 0.147470i | \(0.0471131\pi\) | |||||||
\(500\) | 11.1741 | + | 0.373120i | 0.499721 | + | 0.0166864i | ||||
\(501\) | 0.805386 | + | 15.8105i | 0.0359820 | + | 0.706361i | ||||
\(502\) | 5.56756 | − | 9.64330i | 0.248492 | − | 0.430402i | ||||
\(503\) | −20.2377 | + | 16.9814i | −0.902352 | + | 0.757163i | −0.970649 | − | 0.240502i | \(-0.922688\pi\) |
0.0682965 | + | 0.997665i | \(0.478244\pi\) | |||||||
\(504\) | 11.5575 | + | 2.91758i | 0.514813 | + | 0.129959i | ||||
\(505\) | −1.58026 | − | 14.9618i | −0.0703205 | − | 0.665793i | ||||
\(506\) | 15.1748 | + | 26.2836i | 0.674604 | + | 1.16845i | ||||
\(507\) | 7.22556 | − | 6.71820i | 0.320899 | − | 0.298366i | ||||
\(508\) | 0.540061 | − | 3.06284i | 0.0239613 | − | 0.135892i | ||||
\(509\) | 4.16341 | + | 23.6119i | 0.184540 | + | 1.04658i | 0.926545 | + | 0.376183i | \(0.122764\pi\) |
−0.742005 | + | 0.670394i | \(0.766125\pi\) | |||||||
\(510\) | 11.5018 | + | 20.7967i | 0.509310 | + | 0.920891i | ||||
\(511\) | −0.565196 | − | 0.474256i | −0.0250028 | − | 0.0209798i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −21.9861 | − | 5.44169i | −0.970709 | − | 0.240257i | ||||
\(514\) | −0.712104 | −0.0314096 | ||||||||
\(515\) | 2.46312 | − | 35.4839i | 0.108538 | − | 1.56361i | ||||
\(516\) | −16.7169 | − | 2.07743i | −0.735922 | − | 0.0914536i | ||||
\(517\) | −39.2375 | + | 6.91863i | −1.72566 | + | 0.304281i | ||||
\(518\) | 3.78519 | − | 21.4669i | 0.166312 | − | 0.943201i | ||||
\(519\) | 20.4658 | + | 22.0114i | 0.898349 | + | 0.966194i | ||||
\(520\) | 5.52186 | + | 2.45512i | 0.242150 | + | 0.107664i | ||||
\(521\) | −2.79411 | + | 4.83955i | −0.122412 | + | 0.212024i | −0.920718 | − | 0.390227i | \(-0.872396\pi\) |
0.798306 | + | 0.602252i | \(0.205730\pi\) | |||||||
\(522\) | −2.39369 | + | 9.48220i | −0.104769 | + | 0.415025i | ||||
\(523\) | 34.6659 | − | 29.0881i | 1.51583 | − | 1.27193i | 0.664526 | − | 0.747265i | \(-0.268634\pi\) |
0.851306 | − | 0.524669i | \(-0.175811\pi\) | |||||||
\(524\) | 14.4679 | + | 8.35304i | 0.632032 | + | 0.364904i | ||||
\(525\) | −33.2338 | − | 8.92085i | −1.45044 | − | 0.389338i | ||||
\(526\) | 5.44456 | − | 14.9588i | 0.237394 | − | 0.652235i | ||||
\(527\) | −37.7380 | − | 6.65423i | −1.64389 | − | 0.289863i | ||||
\(528\) | 1.87482 | − | 6.10031i | 0.0815911 | − | 0.265482i | ||||
\(529\) | −42.1421 | + | 15.3385i | −1.83226 | + | 0.666889i | ||||
\(530\) | −1.22849 | + | 17.6977i | −0.0533622 | + | 0.768740i | ||||
\(531\) | −7.20520 | − | 9.97841i | −0.312679 | − | 0.433026i | ||||
\(532\) | 11.7343 | − | 12.7386i | 0.508745 | − | 0.552287i | ||||
\(533\) | −15.9612 | −0.691357 | ||||||||
\(534\) | 4.96814 | + | 11.7520i | 0.214992 | + | 0.508559i | ||||
\(535\) | 16.4167 | − | 24.3655i | 0.709756 | − | 1.05341i | ||||
\(536\) | 5.19175 | − | 0.915445i | 0.224249 | − | 0.0395412i | ||||
\(537\) | −11.7424 | − | 8.87554i | −0.506724 | − | 0.383008i | ||||
\(538\) | −6.88381 | + | 18.9131i | −0.296782 | + | 0.815402i | ||||
\(539\) | 28.0408 | − | 16.1894i | 1.20780 | − | 0.697326i | ||||
\(540\) | 11.2346 | − | 2.96361i | 0.483462 | − | 0.127533i | ||||
\(541\) | 15.9737 | − | 13.4035i | 0.686764 | − | 0.576263i | −0.231210 | − | 0.972904i | \(-0.574269\pi\) |
0.917974 | + | 0.396641i | \(0.129824\pi\) | |||||||
\(542\) | −6.67215 | − | 7.95156i | −0.286594 | − | 0.341549i | ||||
\(543\) | −16.1882 | + | 10.4791i | −0.694702 | + | 0.449701i | ||||
\(544\) | 5.31410 | − | 3.06810i | 0.227840 | − | 0.131544i | ||||
\(545\) | −4.43387 | + | 1.27384i | −0.189926 | + | 0.0545651i | ||||
\(546\) | −14.8375 | − | 11.2149i | −0.634984 | − | 0.479954i | ||||
\(547\) | 2.31953 | + | 13.1547i | 0.0991757 | + | 0.562454i | 0.993388 | + | 0.114809i | \(0.0366257\pi\) |
−0.894212 | + | 0.447644i | \(0.852263\pi\) | |||||||
\(548\) | −5.57910 | + | 2.03063i | −0.238327 | + | 0.0867441i | ||||
\(549\) | −0.785023 | + | 10.7730i | −0.0335040 | + | 0.459780i | ||||
\(550\) | −5.67517 | + | 17.5271i | −0.241990 | + | 0.747357i | ||||
\(551\) | 10.4512 | + | 9.62722i | 0.445235 | + | 0.410133i | ||||
\(552\) | 12.7023 | + | 6.49557i | 0.540644 | + | 0.276470i | ||||
\(553\) | 24.2925 | + | 20.3839i | 1.03302 | + | 0.866810i | ||||
\(554\) | −5.20166 | + | 1.89325i | −0.220997 | + | 0.0804365i | ||||
\(555\) | −6.89829 | − | 20.0964i | −0.292816 | − | 0.853044i | ||||
\(556\) | −2.64685 | + | 15.0110i | −0.112251 | + | 0.636609i | ||||
\(557\) | 22.1081 | + | 8.04668i | 0.936749 | + | 0.340949i | 0.764881 | − | 0.644171i | \(-0.222798\pi\) |
0.171868 | + | 0.985120i | \(0.445020\pi\) | |||||||
\(558\) | −7.67021 | + | 17.0927i | −0.324706 | + | 0.723593i | ||||
\(559\) | 22.7628 | + | 13.1421i | 0.962766 | + | 0.555853i | ||||
\(560\) | −2.14502 | + | 8.62189i | −0.0906434 | + | 0.364341i | ||||
\(561\) | −38.1698 | + | 8.75336i | −1.61153 | + | 0.369567i | ||||
\(562\) | 23.2594 | + | 13.4288i | 0.981137 | + | 0.566460i | ||||
\(563\) | 23.3674 | − | 13.4912i | 0.984819 | − | 0.568585i | 0.0810972 | − | 0.996706i | \(-0.474158\pi\) |
0.903721 | + | 0.428121i | \(0.140824\pi\) | |||||||
\(564\) | −13.7164 | + | 12.7533i | −0.577564 | + | 0.537009i | ||||
\(565\) | 4.65496 | + | 9.53176i | 0.195836 | + | 0.401004i | ||||
\(566\) | −3.13342 | − | 17.7705i | −0.131708 | − | 0.746951i | ||||
\(567\) | −35.7452 | + | 1.03873i | −1.50116 | + | 0.0436224i | ||||
\(568\) | 0.577840 | − | 0.688643i | 0.0242456 | − | 0.0288948i | ||||
\(569\) | −7.48774 | −0.313902 | −0.156951 | − | 0.987606i | \(-0.550167\pi\) | ||||
−0.156951 | + | 0.987606i | \(0.550167\pi\) | |||||||
\(570\) | 3.99965 | − | 16.4013i | 0.167527 | − | 0.686975i | ||||
\(571\) | −28.5942 | −1.19663 | −0.598314 | − | 0.801262i | \(-0.704162\pi\) | ||||
−0.598314 | + | 0.801262i | \(0.704162\pi\) | |||||||
\(572\) | −6.40073 | + | 7.62809i | −0.267628 | + | 0.318946i | ||||
\(573\) | 18.4612 | + | 2.29418i | 0.771226 | + | 0.0958408i | ||||
\(574\) | −4.07495 | − | 23.1102i | −0.170085 | − | 0.964601i | ||||
\(575\) | −36.3835 | − | 19.2979i | −1.51730 | − | 0.804779i | ||||
\(576\) | −0.818465 | − | 2.88619i | −0.0341027 | − | 0.120258i | ||||
\(577\) | −13.9903 | + | 8.07731i | −0.582424 | + | 0.336263i | −0.762096 | − | 0.647464i | \(-0.775830\pi\) |
0.179672 | + | 0.983727i | \(0.442496\pi\) | |||||||
\(578\) | −17.8859 | − | 10.3264i | −0.743955 | − | 0.429523i | ||||
\(579\) | −0.973823 | − | 4.24644i | −0.0404707 | − | 0.176476i | ||||
\(580\) | −7.07370 | − | 1.75985i | −0.293720 | − | 0.0730737i | ||||
\(581\) | −15.8011 | − | 9.12274i | −0.655538 | − | 0.378475i | ||||
\(582\) | 0.699033 | + | 13.7227i | 0.0289758 | + | 0.568823i | ||||
\(583\) | −27.4696 | − | 9.99810i | −1.13767 | − | 0.414079i | ||||
\(584\) | −0.0322446 | + | 0.182868i | −0.00133429 | + | 0.00756715i | ||||
\(585\) | −17.9466 | − | 2.56651i | −0.742000 | − | 0.106112i | ||||
\(586\) | −7.09258 | + | 2.58149i | −0.292992 | + | 0.106640i | ||||
\(587\) | 9.43356 | + | 7.91569i | 0.389365 | + | 0.326716i | 0.816366 | − | 0.577536i | \(-0.195985\pi\) |
−0.427001 | + | 0.904251i | \(0.640430\pi\) | |||||||
\(588\) | 6.92984 | − | 13.5515i | 0.285782 | − | 0.558854i | ||||
\(589\) | 16.5145 | + | 21.6392i | 0.680469 | + | 0.891630i | ||||
\(590\) | 7.41897 | − | 5.39597i | 0.305434 | − | 0.222149i | ||||
\(591\) | 6.50117 | − | 2.74836i | 0.267422 | − | 0.113052i | ||||
\(592\) | −5.15520 | + | 1.87634i | −0.211877 | + | 0.0771171i | ||||
\(593\) | 5.38493 | + | 30.5395i | 0.221133 | + | 1.25411i | 0.869942 | + | 0.493155i | \(0.164156\pi\) |
−0.648809 | + | 0.760951i | \(0.724733\pi\) | |||||||
\(594\) | −0.418205 | + | 19.1412i | −0.0171591 | + | 0.785371i | ||||
\(595\) | 52.3987 | − | 15.0540i | 2.14814 | − | 0.617152i | ||||
\(596\) | 14.0177 | − | 8.09312i | 0.574187 | − | 0.331507i | ||||
\(597\) | 17.7481 | + | 27.4175i | 0.726382 | + | 1.12212i | ||||
\(598\) | −14.3088 | − | 17.0526i | −0.585131 | − | 0.697332i | ||||
\(599\) | 1.36518 | − | 1.14552i | 0.0557797 | − | 0.0468047i | −0.614472 | − | 0.788939i | \(-0.710631\pi\) |
0.670251 | + | 0.742134i | \(0.266186\pi\) | |||||||
\(600\) | 2.23771 | + | 8.36616i | 0.0913542 | + | 0.341547i | ||||
\(601\) | 32.7412 | − | 18.9032i | 1.33554 | − | 0.771076i | 0.349400 | − | 0.936974i | \(-0.386385\pi\) |
0.986143 | + | 0.165897i | \(0.0530520\pi\) | |||||||
\(602\) | −13.2170 | + | 36.3135i | −0.538686 | + | 1.48003i | ||||
\(603\) | −14.2351 | + | 6.89142i | −0.579699 | + | 0.280640i | ||||
\(604\) | 2.88147 | − | 0.508080i | 0.117245 | − | 0.0206735i | ||||
\(605\) | −4.77745 | − | 3.21890i | −0.194231 | − | 0.130867i | ||||
\(606\) | 10.7341 | − | 4.53782i | 0.436043 | − | 0.184336i | ||||
\(607\) | −19.9070 | −0.807999 | −0.404000 | − | 0.914759i | \(-0.632380\pi\) | ||||
−0.404000 | + | 0.914759i | \(0.632380\pi\) | |||||||
\(608\) | −4.25309 | − | 0.954580i | −0.172486 | − | 0.0387134i | ||||
\(609\) | 19.9746 | + | 10.2144i | 0.809411 | + | 0.413909i | ||||
\(610\) | −8.03168 | − | 0.557520i | −0.325193 | − | 0.0225733i | ||||
\(611\) | 27.4611 | − | 9.99502i | 1.11096 | − | 0.404355i | ||||
\(612\) | −12.8264 | + | 13.2045i | −0.518476 | + | 0.533761i | ||||
\(613\) | −20.7106 | − | 3.65183i | −0.836492 | − | 0.147496i | −0.261036 | − | 0.965329i | \(-0.584064\pi\) |
−0.575456 | + | 0.817833i | \(0.695175\pi\) | |||||||
\(614\) | −9.41014 | + | 25.8542i | −0.379762 | + | 1.04339i | ||||
\(615\) | −14.3780 | − | 17.7901i | −0.579778 | − | 0.717365i | ||||
\(616\) | −12.6788 | − | 7.32012i | −0.510844 | − | 0.294936i | ||||
\(617\) | −22.1287 | + | 18.5681i | −0.890866 | + | 0.747525i | −0.968384 | − | 0.249466i | \(-0.919745\pi\) |
0.0775176 | + | 0.996991i | \(0.475301\pi\) | |||||||
\(618\) | 26.8548 | − | 6.15852i | 1.08026 | − | 0.247732i | ||||
\(619\) | −8.36494 | + | 14.4885i | −0.336215 | + | 0.582342i | −0.983717 | − | 0.179722i | \(-0.942480\pi\) |
0.647502 | + | 0.762064i | \(0.275814\pi\) | |||||||
\(620\) | −12.7597 | − | 5.67322i | −0.512444 | − | 0.227842i | ||||
\(621\) | −41.9776 | − | 8.35110i | −1.68450 | − | 0.335118i | ||||
\(622\) | 2.74152 | − | 15.5479i | 0.109925 | − | 0.623416i | ||||
\(623\) | 28.8248 | − | 5.08258i | 1.15484 | − | 0.203629i | ||||
\(624\) | −0.577263 | + | 4.64520i | −0.0231090 | + | 0.185957i | ||||
\(625\) | −6.09744 | − | 24.2450i | −0.243898 | − | 0.969801i | ||||
\(626\) | −13.4832 | −0.538896 | ||||||||
\(627\) | 24.1555 | + | 13.7970i | 0.964678 | + | 0.551000i | ||||
\(628\) | 16.8172i | 0.671081i | ||||||||
\(629\) | 25.7877 | + | 21.6385i | 1.02822 | + | 0.862782i | ||||
\(630\) | −0.865786 | − | 26.6401i | −0.0344938 | − | 1.06137i | ||||
\(631\) | −2.07442 | − | 11.7646i | −0.0825814 | − | 0.468343i | −0.997852 | − | 0.0655037i | \(-0.979135\pi\) |
0.915271 | − | 0.402839i | \(-0.131977\pi\) | |||||||
\(632\) | 1.38590 | − | 7.85981i | 0.0551280 | − | 0.312647i | ||||
\(633\) | −21.7690 | − | 23.4130i | −0.865239 | − | 0.930583i | ||||
\(634\) | 8.71922 | + | 15.1021i | 0.346284 | + | 0.599782i | ||||
\(635\) | −6.91590 | + | 0.730451i | −0.274449 | + | 0.0289871i | ||||
\(636\) | −13.3939 | + | 3.07158i | −0.531102 | + | 0.121796i | ||||
\(637\) | −18.1927 | + | 15.2655i | −0.720819 | + | 0.604839i | ||||
\(638\) | 6.00569 | − | 10.4022i | 0.237767 | − | 0.411825i | ||||
\(639\) | −1.10413 | + | 2.46050i | −0.0436786 | + | 0.0973359i | ||||
\(640\) | 2.14913 | − | 0.617438i | 0.0849519 | − | 0.0244064i | ||||
\(641\) | −6.13216 | + | 34.7772i | −0.242206 | + | 1.37362i | 0.584688 | + | 0.811258i | \(0.301217\pi\) |
−0.826894 | + | 0.562358i | \(0.809894\pi\) | |||||||
\(642\) | 21.7535 | + | 6.68555i | 0.858543 | + | 0.263858i | ||||
\(643\) | 4.40966 | + | 12.1154i | 0.173900 | + | 0.477786i | 0.995769 | − | 0.0918902i | \(-0.0292909\pi\) |
−0.821869 | + | 0.569676i | \(0.807069\pi\) | |||||||
\(644\) | 21.0373 | − | 25.0713i | 0.828985 | − | 0.987946i | ||||
\(645\) | 5.85701 | + | 37.2096i | 0.230620 | + | 1.46513i | ||||
\(646\) | 7.97616 | + | 25.5301i | 0.313818 | + | 1.00447i | ||||
\(647\) | −11.5209 | −0.452933 | −0.226467 | − | 0.974019i | \(-0.572717\pi\) | ||||
−0.226467 | + | 0.974019i | \(0.572717\pi\) | |||||||
\(648\) | 4.72450 | + | 7.66023i | 0.185596 | + | 0.300922i | ||||
\(649\) | 5.17015 | + | 14.2049i | 0.202946 | + | 0.557590i | ||||
\(650\) | 1.86698 | − | 13.3831i | 0.0732288 | − | 0.524928i | ||||
\(651\) | 34.2859 | + | 25.9151i | 1.34377 | + | 1.01569i | ||||
\(652\) | −1.88828 | + | 5.18800i | −0.0739507 | + | 0.203178i | ||||
\(653\) | −3.89684 | − | 6.74953i | −0.152495 | − | 0.264129i | 0.779649 | − | 0.626217i | \(-0.215398\pi\) |
−0.932144 | + | 0.362087i | \(0.882064\pi\) | |||||||
\(654\) | −1.94182 | − | 2.99974i | −0.0759311 | − | 0.117299i | ||||
\(655\) | 9.01876 | − | 36.2509i | 0.352392 | − | 1.41644i | ||||
\(656\) | −4.52427 | + | 3.79631i | −0.176643 | + | 0.148221i | ||||
\(657\) | −0.0566072 | − | 0.554185i | −0.00220846 | − | 0.0216208i | ||||
\(658\) | 21.4827 | + | 37.2090i | 0.837481 | + | 1.45056i | ||||
\(659\) | −34.9568 | − | 12.7233i | −1.36173 | − | 0.495627i | −0.445138 | − | 0.895462i | \(-0.646845\pi\) |
−0.916587 | + | 0.399834i | \(0.869068\pi\) | |||||||
\(660\) | −14.2680 | − | 0.262674i | −0.555380 | − | 0.0102246i | ||||
\(661\) | −23.7504 | + | 4.18784i | −0.923784 | + | 0.162888i | −0.615256 | − | 0.788327i | \(-0.710947\pi\) |
−0.308528 | + | 0.951215i | \(0.599836\pi\) | |||||||
\(662\) | 11.2597 | − | 4.09819i | 0.437620 | − | 0.159281i | ||||
\(663\) | 26.4562 | − | 11.1843i | 1.02747 | − | 0.434362i | ||||
\(664\) | 4.59195i | 0.178202i | ||||||||
\(665\) | −34.6221 | − | 17.3532i | −1.34259 | − | 0.672929i | ||||
\(666\) | 13.3432 | − | 9.63483i | 0.517038 | − | 0.373342i | ||||
\(667\) | 20.5694 | + | 17.2597i | 0.796449 | + | 0.668300i | ||||
\(668\) | −3.12607 | − | 8.58881i | −0.120951 | − | 0.332311i | ||||
\(669\) | 39.0179 | + | 11.9914i | 1.50852 | + | 0.463616i | ||||
\(670\) | −5.17300 | − | 10.5925i | −0.199850 | − | 0.409225i | ||||
\(671\) | 4.53740 | − | 12.4664i | 0.175164 | − | 0.481260i | ||||
\(672\) | −6.87315 | + | 0.350118i | −0.265138 | + | 0.0135061i | ||||
\(673\) | 6.32197 | − | 10.9500i | 0.243694 | − | 0.422090i | −0.718070 | − | 0.695971i | \(-0.754974\pi\) |
0.961764 | + | 0.273881i | \(0.0883074\pi\) | |||||||
\(674\) | 14.3156 | + | 17.0606i | 0.551415 | + | 0.657150i | ||||
\(675\) | −13.3059 | − | 22.3149i | −0.512144 | − | 0.858900i | ||||
\(676\) | −2.84814 | + | 4.93313i | −0.109544 | + | 0.189736i | ||||
\(677\) | −13.5989 | + | 7.85134i | −0.522649 | + | 0.301751i | −0.738018 | − | 0.674781i | \(-0.764238\pi\) |
0.215369 | + | 0.976533i | \(0.430905\pi\) | |||||||
\(678\) | −6.01750 | + | 5.59496i | −0.231101 | + | 0.214873i | ||||
\(679\) | 31.0421 | + | 5.47355i | 1.19128 | + | 0.210056i | ||||
\(680\) | −9.87487 | − | 9.52634i | −0.378684 | − | 0.365319i | ||||
\(681\) | 22.6428 | + | 2.81383i | 0.867672 | + | 0.107826i | ||||
\(682\) | 14.7906 | − | 17.6267i | 0.566361 | − | 0.674963i | ||||
\(683\) | − | 33.8066i | − | 1.29357i | −0.762671 | − | 0.646787i | \(-0.776112\pi\) | ||
0.762671 | − | 0.646787i | \(-0.223888\pi\) | |||||||
\(684\) | 13.0565 | − | 0.725903i | 0.499229 | − | 0.0277556i | ||||
\(685\) | 7.80884 | + | 10.7364i | 0.298360 | + | 0.410218i | ||||
\(686\) | −5.44105 | − | 4.56558i | −0.207740 | − | 0.174315i | ||||
\(687\) | −1.28124 | + | 10.3101i | −0.0488823 | + | 0.393353i | ||||
\(688\) | 9.57801 | − | 1.68886i | 0.365158 | − | 0.0643873i | ||||
\(689\) | 21.1154 | + | 3.72322i | 0.804433 | + | 0.141843i | ||||
\(690\) | 6.11697 | − | 31.3095i | 0.232869 | − | 1.19193i | ||||
\(691\) | −17.2678 | − | 29.9088i | −0.656899 | − | 1.13778i | −0.981414 | − | 0.191902i | \(-0.938534\pi\) |
0.324515 | − | 0.945881i | \(-0.394799\pi\) | |||||||
\(692\) | −15.0279 | − | 8.67636i | −0.571275 | − | 0.329826i | ||||
\(693\) | 42.5848 | + | 10.7501i | 1.61766 | + | 0.408363i | ||||
\(694\) | 1.48875 | + | 1.77423i | 0.0565123 | + | 0.0673487i | ||||
\(695\) | 33.8950 | − | 3.57995i | 1.28571 | − | 0.135795i | ||||
\(696\) | −0.287250 | − | 5.63898i | −0.0108882 | − | 0.213745i | ||||
\(697\) | 34.0548 | + | 12.3949i | 1.28992 | + | 0.469492i | ||||
\(698\) | −8.03431 | − | 1.41666i | −0.304103 | − | 0.0536216i | ||||
\(699\) | −20.8788 | − | 6.41673i | −0.789709 | − | 0.242703i | ||||
\(700\) | 19.8540 | − | 0.713561i | 0.750410 | − | 0.0269701i | ||||
\(701\) | 5.25804 | − | 6.26629i | 0.198593 | − | 0.236674i | −0.657552 | − | 0.753409i | \(-0.728408\pi\) |
0.856146 | + | 0.516735i | \(0.172853\pi\) | |||||||
\(702\) | −2.13585 | − | 13.8794i | −0.0806123 | − | 0.523845i | ||||
\(703\) | −3.05919 | − | 23.7167i | −0.115379 | − | 0.894491i | ||||
\(704\) | 3.68460i | 0.138868i | ||||||||
\(705\) | 35.8775 | + | 21.6040i | 1.35122 | + | 0.813654i | ||||
\(706\) | −0.788302 | − | 2.16584i | −0.0296682 | − | 0.0815126i | ||||
\(707\) | −4.64235 | − | 26.3281i | −0.174593 | − | 0.990168i | ||||
\(708\) | 5.66880 | + | 4.28477i | 0.213046 | + | 0.161032i | ||||
\(709\) | −12.8266 | − | 4.66852i | −0.481715 | − | 0.175330i | 0.0897371 | − | 0.995965i | \(-0.471397\pi\) |
−0.571452 | + | 0.820636i | \(0.693620\pi\) | |||||||
\(710\) | −1.83677 | − | 0.816661i | −0.0689326 | − | 0.0306487i | ||||
\(711\) | 2.43302 | + | 23.8193i | 0.0912453 | + | 0.893292i | ||||
\(712\) | −4.73504 | − | 5.64300i | −0.177453 | − | 0.211480i | ||||
\(713\) | 33.0644 | + | 39.4046i | 1.23827 | + | 1.47571i | ||||
\(714\) | 22.9481 | + | 35.4504i | 0.858809 | + | 1.32670i | ||||
\(715\) | 20.3458 | + | 9.04614i | 0.760891 | + | 0.338306i | ||||
\(716\) | 7.98573 | + | 2.90657i | 0.298441 | + | 0.108624i | ||||
\(717\) | 10.5595 | − | 13.9703i | 0.394351 | − | 0.521731i | ||||
\(718\) | 2.37853 | + | 13.4893i | 0.0887659 | + | 0.503417i | ||||
\(719\) | −8.44358 | − | 23.1985i | −0.314892 | − | 0.865159i | −0.991651 | − | 0.128954i | \(-0.958838\pi\) |
0.676758 | − | 0.736205i | \(-0.263384\pi\) | |||||||
\(720\) | −5.69746 | + | 3.54104i | −0.212332 | + | 0.131967i | ||||
\(721\) | − | 63.2046i | − | 2.35386i | ||||||
\(722\) | 8.11983 | − | 17.1776i | 0.302189 | − | 0.639282i | ||||
\(723\) | −19.9289 | − | 10.1910i | −0.741163 | − | 0.379009i | ||||
\(724\) | 7.15652 | − | 8.52881i | 0.265970 | − | 0.316971i | ||||
\(725\) | 0.585431 | + | 16.2889i | 0.0217424 | + | 0.604955i | ||||
\(726\) | 1.31087 | − | 4.26531i | 0.0486508 | − | 0.158300i | ||||
\(727\) | −19.0343 | − | 3.35626i | −0.705942 | − | 0.124477i | −0.190860 | − | 0.981617i | \(-0.561128\pi\) |
−0.515082 | + | 0.857141i | \(0.672239\pi\) | |||||||
\(728\) | 10.0906 | + | 3.67267i | 0.373982 | + | 0.136118i | ||||
\(729\) | −19.9055 | − | 18.2421i | −0.737239 | − | 0.675632i | ||||
\(730\) | 0.412917 | − | 0.0436120i | 0.0152828 | − | 0.00161415i | ||||
\(731\) | −38.3611 | − | 45.7169i | −1.41883 | − | 1.69090i | ||||
\(732\) | −1.39396 | − | 6.07849i | −0.0515223 | − | 0.224668i | ||||
\(733\) | −17.7218 | − | 10.2317i | −0.654571 | − | 0.377917i | 0.135634 | − | 0.990759i | \(-0.456693\pi\) |
−0.790205 | + | 0.612842i | \(0.790026\pi\) | |||||||
\(734\) | −1.79294 | − | 3.10546i | −0.0661785 | − | 0.114625i | ||||
\(735\) | −33.4027 | − | 6.52593i | −1.23208 | − | 0.240713i | ||||
\(736\) | −8.11177 | − | 1.43032i | −0.299004 | − | 0.0527224i | ||||
\(737\) | 19.1295 | − | 3.37305i | 0.704644 | − | 0.124248i | ||||
\(738\) | 9.95076 | − | 14.6598i | 0.366292 | − | 0.539636i | ||||
\(739\) | 26.6430 | + | 22.3561i | 0.980077 | + | 0.822382i | 0.984101 | − | 0.177610i | \(-0.0568365\pi\) |
−0.00402407 | + | 0.999992i | \(0.501281\pi\) | |||||||
\(740\) | 7.21552 | + | 9.92069i | 0.265248 | + | 0.364692i | ||||
\(741\) | −19.2054 | − | 6.88937i | −0.705529 | − | 0.253087i | ||||
\(742\) | 31.5235i | 1.15726i | ||||||||
\(743\) | 18.2065 | − | 21.6977i | 0.667933 | − | 0.796011i | −0.320568 | − | 0.947225i | \(-0.603874\pi\) |
0.988501 | + | 0.151214i | \(0.0483184\pi\) | |||||||
\(744\) | 1.33392 | − | 10.7340i | 0.0489039 | − | 0.393527i | ||||
\(745\) | −26.0483 | − | 25.1289i | −0.954334 | − | 0.920651i | ||||
\(746\) | −30.8020 | − | 5.43122i | −1.12774 | − | 0.198851i | ||||
\(747\) | −3.75835 | − | 13.2533i | −0.137511 | − | 0.484912i | ||||
\(748\) | 19.5803 | − | 11.3047i | 0.715927 | − | 0.413341i | ||||
\(749\) | 26.1033 | − | 45.2123i | 0.953794 | − | 1.65202i | ||||
\(750\) | 16.5983 | − | 9.97473i | 0.606086 | − | 0.364226i | ||||
\(751\) | 13.6425 | + | 16.2585i | 0.497822 | + | 0.593281i | 0.955189 | − | 0.295997i | \(-0.0956519\pi\) |
−0.457367 | + | 0.889278i | \(0.651207\pi\) | |||||||
\(752\) | 5.40667 | − | 9.36463i | 0.197161 | − | 0.341493i | ||||
\(753\) | −0.981187 | − | 19.2616i | −0.0357564 | − | 0.701933i | ||||
\(754\) | −3.01319 | + | 8.27867i | −0.109734 | + | 0.301491i | ||||
\(755\) | −2.87106 | − | 5.87894i | −0.104489 | − | 0.213957i | ||||
\(756\) | 19.5507 | − | 6.63595i | 0.711052 | − | 0.241347i | ||||
\(757\) | −12.0089 | − | 32.9943i | −0.436472 | − | 1.19920i | −0.941771 | − | 0.336254i | \(-0.890840\pi\) |
0.505299 | − | 0.862944i | \(-0.331382\pi\) | |||||||
\(758\) | −19.2241 | − | 16.1309i | −0.698250 | − | 0.585901i | ||||
\(759\) | 46.8027 | + | 23.9335i | 1.69883 | + | 0.868733i | ||||
\(760\) | 0.574501 | + | 9.72985i | 0.0208393 | + | 0.352939i | ||||
\(761\) | 18.1845i | 0.659188i | 0.944123 | + | 0.329594i | \(0.106912\pi\) | ||||
−0.944123 | + | 0.329594i | \(0.893088\pi\) | |||||||
\(762\) | −2.09754 | − | 4.96168i | −0.0759859 | − | 0.179743i | ||||
\(763\) | −7.70307 | + | 2.80369i | −0.278870 | + | 0.101500i | ||||
\(764\) | −10.5774 | + | 1.86507i | −0.382676 | + | 0.0674760i | ||||
\(765\) | 36.2978 | + | 19.4126i | 1.31235 | + | 0.701865i | ||||
\(766\) | −21.0793 | − | 7.67222i | −0.761624 | − | 0.277209i | ||||
\(767\) | −5.54375 | − | 9.60205i | −0.200173 | − | 0.346710i | ||||
\(768\) | 0.941215 | + | 1.45400i | 0.0339632 | + | 0.0524667i | ||||
\(769\) | −20.2543 | + | 16.9953i | −0.730387 | + | 0.612868i | −0.930237 | − | 0.366959i | \(-0.880399\pi\) |
0.199850 | + | 0.979827i | \(0.435955\pi\) | |||||||
\(770\) | −7.90352 | + | 31.7682i | −0.284823 | + | 1.14485i | ||||
\(771\) | −1.03540 | + | 0.670243i | −0.0372890 | + | 0.0241382i | ||||
\(772\) | 1.25766 | + | 2.17834i | 0.0452643 | + | 0.0784001i | ||||
\(773\) | −9.81302 | + | 26.9611i | −0.352950 | + | 0.969722i | 0.628467 | + | 0.777836i | \(0.283683\pi\) |
−0.981417 | + | 0.191886i | \(0.938540\pi\) | |||||||
\(774\) | −26.2617 | + | 12.7137i | −0.943958 | + | 0.456983i | ||||
\(775\) | −4.31415 | + | 30.9252i | −0.154969 | + | 1.11087i | ||||
\(776\) | −2.71327 | − | 7.45464i | −0.0974006 | − | 0.267606i | ||||
\(777\) | −14.7013 | − | 34.7755i | −0.527406 | − | 1.24757i | ||||
\(778\) | −22.5326 | −0.807833 | ||||||||
\(779\) | −11.8273 | − | 22.8660i | −0.423756 | − | 0.819259i | ||||
\(780\) | 10.3396 | − | 1.62751i | 0.370216 | − | 0.0582743i | ||||
\(781\) | 2.12911 | − | 2.53737i | 0.0761855 | − | 0.0907943i | ||||
\(782\) | 17.2868 | + | 47.4951i | 0.618175 | + | 1.69842i | ||||
\(783\) | 5.44437 | + | 16.0401i | 0.194566 | + | 0.573226i | ||||
\(784\) | −1.52595 | + | 8.65410i | −0.0544982 | + | 0.309075i | ||||
\(785\) | 36.1425 | − | 10.3836i | 1.28998 | − | 0.370607i | ||||
\(786\) | 28.8983 | − | 1.47208i | 1.03077 | − | 0.0525073i | ||||
\(787\) | 14.5974 | − | 25.2834i | 0.520341 | − | 0.901257i | −0.479379 | − | 0.877608i | \(-0.659138\pi\) |
0.999720 | − | 0.0236495i | \(-0.00752857\pi\) | |||||||
\(788\) | −3.12169 | + | 2.61941i | −0.111205 | + | 0.0933125i | ||||
\(789\) | −6.16307 | − | 26.8746i | −0.219411 | − | 0.956761i | ||||
\(790\) | −17.7475 | + | 1.87447i | −0.631427 | + | 0.0666908i | ||||
\(791\) | 9.42462 | + | 16.3239i | 0.335101 | + | 0.580412i | ||||
\(792\) | −3.01571 | − | 10.6345i | −0.107159 | − | 0.377879i | ||||
\(793\) | −1.68969 | + | 9.58271i | −0.0600027 | + | 0.340292i | ||||
\(794\) | −1.19712 | − | 6.78921i | −0.0424842 | − | 0.240940i | ||||
\(795\) | 14.8711 | + | 26.8887i | 0.527425 | + | 0.953645i | ||||
\(796\) | −14.4450 | − | 12.1208i | −0.511989 | − | 0.429610i | ||||
\(797\) | 6.65442i | 0.235712i | 0.993031 | + | 0.117856i | \(0.0376021\pi\) | ||||
−0.993031 | + | 0.117856i | \(0.962398\pi\) | |||||||
\(798\) | 5.07189 | − | 29.5664i | 0.179543 | − | 1.04664i | ||||
\(799\) | −66.3527 | −2.34739 | ||||||||
\(800\) | −2.65391 | − | 4.23754i | −0.0938300 | − | 0.149820i | ||||
\(801\) | 18.2848 | + | 12.4113i | 0.646063 | + | 0.438533i | ||||
\(802\) | 9.95315 | − | 1.75501i | 0.351458 | − | 0.0619715i | ||||
\(803\) | −0.118808 | + | 0.673796i | −0.00419266 | + | 0.0237778i | ||||
\(804\) | 6.68717 | − | 6.21761i | 0.235838 | − | 0.219278i | ||||
\(805\) | −66.8707 | − | 29.7320i | −2.35688 | − | 1.04791i | ||||
\(806\) | −8.43860 | + | 14.6161i | −0.297237 | + | 0.514829i | ||||
\(807\) | 7.79224 | + | 33.9788i | 0.274300 | + | 1.19611i | ||||
\(808\) | −5.15422 | + | 4.32491i | −0.181325 | + | 0.152150i | ||||
\(809\) | −18.2678 | − | 10.5469i | −0.642261 | − | 0.370809i | 0.143224 | − | 0.989690i | \(-0.454253\pi\) |
−0.785485 | + | 0.618881i | \(0.787586\pi\) | |||||||
\(810\) | 13.5458 | − | 14.8833i | 0.475949 | − | 0.522946i | ||||
\(811\) | −15.3572 | + | 42.1936i | −0.539265 | + | 1.48162i | 0.308488 | + | 0.951228i | \(0.400177\pi\) |
−0.847753 | + | 0.530391i | \(0.822045\pi\) | |||||||
\(812\) | −12.7559 | − | 2.24922i | −0.447645 | − | 0.0789320i | ||||
\(813\) | −17.1854 | − | 5.28164i | −0.602720 | − | 0.185235i | ||||
\(814\) | −18.9948 | + | 6.91356i | −0.665769 | + | 0.242320i | ||||
\(815\) | 12.3156 | + | 0.854889i | 0.431396 | + | 0.0299455i | ||||
\(816\) | 4.83896 | − | 9.46272i | 0.169397 | − | 0.331261i | ||||
\(817\) | −1.96010 | + | 42.3483i | −0.0685753 | + | 1.48158i | ||||
\(818\) | −2.92169 | −0.102155 | ||||||||
\(819\) | −32.1293 | − | 2.34125i | −1.12269 | − | 0.0818098i | ||||
\(820\) | 10.9522 | + | 7.37926i | 0.382468 | + | 0.257695i | ||||
\(821\) | 24.0955 | − | 4.24868i | 0.840938 | − | 0.148280i | 0.263443 | − | 0.964675i | \(-0.415142\pi\) |
0.577494 | + | 0.816395i | \(0.304031\pi\) | |||||||
\(822\) | −6.20075 | + | 8.20366i | −0.216276 | + | 0.286136i | ||||
\(823\) | 12.3282 | − | 33.8715i | 0.429734 | − | 1.18069i | −0.516240 | − | 0.856444i | \(-0.672669\pi\) |
0.945974 | − | 0.324242i | \(-0.105109\pi\) | |||||||
\(824\) | −13.7759 | + | 7.95354i | −0.479907 | + | 0.277075i | ||||
\(825\) | 8.24506 | + | 30.8259i | 0.287056 | + | 1.07322i | ||||
\(826\) | 12.4874 | − | 10.4782i | 0.434494 | − | 0.364584i | ||||
\(827\) | 2.86781 | + | 3.41773i | 0.0997237 | + | 0.118846i | 0.813598 | − | 0.581428i | \(-0.197506\pi\) |
−0.713874 | + | 0.700274i | \(0.753061\pi\) | |||||||
\(828\) | 24.5828 | − | 2.51101i | 0.854312 | − | 0.0872637i | ||||
\(829\) | 14.2324 | − | 8.21710i | 0.494313 | − | 0.285392i | −0.232049 | − | 0.972704i | \(-0.574543\pi\) |
0.726362 | + | 0.687312i | \(0.241210\pi\) | |||||||
\(830\) | 9.86871 | − | 2.83525i | 0.342548 | − | 0.0984129i | ||||
\(831\) | −5.78126 | + | 7.64867i | −0.200550 | + | 0.265329i | ||||
\(832\) | −0.469291 | − | 2.66148i | −0.0162697 | − | 0.0922703i | ||||
\(833\) | 50.6705 | − | 18.4426i | 1.75563 | − | 0.638996i | ||||
\(834\) | 10.2801 | + | 24.3173i | 0.355970 | + | 0.842039i | ||||
\(835\) | −16.5283 | + | 12.0214i | −0.571987 | + | 0.416018i | ||||
\(836\) | −15.6709 | − | 3.51724i | −0.541990 | − | 0.121646i | ||||
\(837\) | 4.93544 | + | 32.0721i | 0.170594 | + | 1.10858i | ||||
\(838\) | −27.5901 | − | 23.1508i | −0.953083 | − | 0.799732i | ||||
\(839\) | 1.22898 | − | 0.447310i | 0.0424289 | − | 0.0154429i | −0.320719 | − | 0.947175i | \(-0.603924\pi\) |
0.363147 | + | 0.931732i | \(0.381702\pi\) | |||||||
\(840\) | 4.99620 | + | 14.5551i | 0.172385 | + | 0.502200i | ||||
\(841\) | −3.19046 | + | 18.0940i | −0.110016 | + | 0.623931i | ||||
\(842\) | −20.2350 | − | 7.36495i | −0.697345 | − | 0.253813i | ||||
\(843\) | 46.4585 | − | 2.36659i | 1.60012 | − | 0.0815099i | ||||
\(844\) | 15.9848 | + | 9.22883i | 0.550220 | + | 0.317670i | ||||
\(845\) | 12.3605 | + | 3.07513i | 0.425214 | + | 0.105788i | ||||
\(846\) | −7.94007 | + | 31.4533i | −0.272985 | + | 1.08139i | ||||
\(847\) | −8.86496 | − | 5.11819i | −0.304604 | − | 0.175863i | ||||
\(848\) | 6.87079 | − | 3.96685i | 0.235944 | − | 0.136222i | ||||
\(849\) | −21.2819 | − | 22.8891i | −0.730393 | − | 0.785553i | ||||
\(850\) | −14.3762 | + | 27.1043i | −0.493101 | + | 0.929671i | ||||
\(851\) | −7.84683 | − | 44.5016i | −0.268986 | − | 1.52549i | ||||
\(852\) | 0.192018 | − | 1.54516i | 0.00657843 | − | 0.0529363i | ||||
\(853\) | −12.6044 | + | 15.0213i | −0.431566 | + | 0.514321i | −0.937373 | − | 0.348326i | \(-0.886750\pi\) |
0.505807 | + | 0.862646i | \(0.331195\pi\) | |||||||
\(854\) | −14.3062 | −0.489547 | ||||||||
\(855\) | −9.62166 | − | 27.6120i | −0.329054 | − | 0.944311i | ||||
\(856\) | −13.1392 | −0.449087 | ||||||||
\(857\) | 9.94573 | − | 11.8529i | 0.339740 | − | 0.404886i | −0.568941 | − | 0.822379i | \(-0.692647\pi\) |
0.908680 | + | 0.417493i | \(0.137091\pi\) | |||||||
\(858\) | −2.12698 | + | 17.1157i | −0.0726140 | + | 0.584320i | ||||
\(859\) | 5.77959 | + | 32.7777i | 0.197197 | + | 1.11836i | 0.909255 | + | 0.416240i | \(0.136652\pi\) |
−0.712058 | + | 0.702121i | \(0.752237\pi\) | |||||||
\(860\) | −9.54342 | − | 19.5417i | −0.325428 | − | 0.666365i | ||||
\(861\) | −27.6766 | − | 29.7668i | −0.943217 | − | 1.01445i | ||||
\(862\) | 1.46211 | − | 0.844152i | 0.0497998 | − | 0.0287519i | ||||
\(863\) | 28.7361 | + | 16.5908i | 0.978187 | + | 0.564756i | 0.901722 | − | 0.432316i | \(-0.142304\pi\) |
0.0764644 | + | 0.997072i | \(0.475637\pi\) | |||||||
\(864\) | −3.90658 | − | 3.42617i | −0.132904 | − | 0.116561i | ||||
\(865\) | −9.36785 | + | 37.6541i | −0.318517 | + | 1.28028i | ||||
\(866\) | 3.92576 | + | 2.26654i | 0.133403 | + | 0.0770202i | ||||
\(867\) | −35.7255 | + | 1.81986i | −1.21330 | + | 0.0618055i | ||||
\(868\) | −23.3170 | − | 8.48668i | −0.791430 | − | 0.288057i | ||||
\(869\) | 5.10647 | − | 28.9602i | 0.173225 | − | 0.982409i | ||||
\(870\) | −11.9416 | + | 4.09906i | −0.404857 | + | 0.138971i | ||||
\(871\) | −13.3881 | + | 4.87288i | −0.453639 | + | 0.165111i | ||||
\(872\) | 1.58042 | + | 1.32613i | 0.0535199 | + | 0.0449086i | ||||
\(873\) | 13.9324 | + | 19.2948i | 0.471540 | + | 0.653031i | ||||
\(874\) | 13.8266 | − | 33.1347i | 0.467693 | − | 1.12080i | ||||
\(875\) | −13.7921 | − | 42.2283i | −0.466260 | − | 1.42758i | ||||
\(876\) | 0.125235 | + | 0.296240i | 0.00423129 | + | 0.0100090i | ||||
\(877\) | 10.8359 | − | 3.94393i | 0.365901 | − | 0.133177i | −0.152525 | − | 0.988300i | \(-0.548740\pi\) |
0.518426 | + | 0.855123i | \(0.326518\pi\) | |||||||
\(878\) | 0.445748 | + | 2.52796i | 0.0150433 | + | 0.0853146i | ||||
\(879\) | −7.88287 | + | 10.4291i | −0.265883 | + | 0.351765i | ||||
\(880\) | 7.91869 | − | 2.27501i | 0.266939 | − | 0.0766906i | ||||
\(881\) | 3.26100 | − | 1.88274i | 0.109866 | − | 0.0634310i | −0.444060 | − | 0.895997i | \(-0.646462\pi\) |
0.553926 | + | 0.832566i | \(0.313129\pi\) | |||||||
\(882\) | −2.67889 | − | 26.2263i | −0.0902029 | − | 0.883087i | ||||
\(883\) | −10.3156 | − | 12.2937i | −0.347149 | − | 0.413716i | 0.564012 | − | 0.825767i | \(-0.309257\pi\) |
−0.911161 | + | 0.412051i | \(0.864813\pi\) | |||||||
\(884\) | −12.7035 | + | 10.6595i | −0.427266 | + | 0.358519i | ||||
\(885\) | 5.70841 | − | 14.8286i | 0.191886 | − | 0.498457i | ||||
\(886\) | 1.72996 | − | 0.998794i | 0.0581192 | − | 0.0335552i | ||||
\(887\) | −9.65622 | + | 26.5302i | −0.324224 | + | 0.890799i | 0.665319 | + | 0.746559i | \(0.268296\pi\) |
−0.989543 | + | 0.144239i | \(0.953927\pi\) | |||||||
\(888\) | −5.72962 | + | 7.58035i | −0.192273 | + | 0.254380i | ||||
\(889\) | −12.1698 | + | 2.14586i | −0.408161 | + | 0.0719698i | ||||
\(890\) | −9.20396 | + | 13.6604i | −0.308517 | + | 0.457899i | ||||
\(891\) | 17.4079 | + | 28.2249i | 0.583186 | + | 0.945568i | ||||
\(892\) | −23.5669 | −0.789077 | ||||||||
\(893\) | 34.6675 | + | 31.9343i | 1.16010 | + | 1.06864i | ||||
\(894\) | 12.7644 | − | 24.9611i | 0.426904 | − | 0.834823i | ||||
\(895\) | 1.31590 | − | 18.9570i | 0.0439858 | − | 0.633663i | ||||
\(896\) | 3.73374 | − | 1.35897i | 0.124735 | − | 0.0454000i | ||||
\(897\) | −36.8552 | − | 11.3268i | −1.23056 | − | 0.378190i | ||||
\(898\) | 2.16737 | + | 0.382166i | 0.0723261 | + | 0.0127530i | ||||
\(899\) | 6.96278 | − | 19.1301i | 0.232222 | − | 0.638024i | ||||
\(900\) | 11.1280 | + | 10.0582i | 0.370933 | + | 0.335274i | ||||
\(901\) | −42.1605 | − | 24.3414i | −1.40457 | − | 0.810929i | ||||
\(902\) | −16.6701 | + | 13.9879i | −0.555053 | + | 0.465745i | ||||
\(903\) | 14.9612 | + | 65.2398i | 0.497879 | + | 2.17105i | ||||
\(904\) | 2.37195 | − | 4.10834i | 0.0788899 | − | 0.136641i | ||||
\(905\) | −22.7483 | − | 10.1143i | −0.756177 | − | 0.336211i | ||||
\(906\) | 3.71144 | − | 3.45083i | 0.123304 | − | 0.114646i | ||||
\(907\) | −2.38433 | + | 13.5222i | −0.0791704 | + | 0.448998i | 0.919293 | + | 0.393575i | \(0.128762\pi\) |
−0.998463 | + | 0.0554229i | \(0.982349\pi\) | |||||||
\(908\) | −12.9732 | + | 2.28753i | −0.430532 | + | 0.0759143i | ||||
\(909\) | 11.3363 | − | 16.7011i | 0.376001 | − | 0.553939i | ||||
\(910\) | 1.66274 | − | 23.9536i | 0.0551194 | − | 0.794055i | ||||
\(911\) | −22.1623 | −0.734269 | −0.367135 | − | 0.930168i | \(-0.619661\pi\) | ||||
−0.367135 | + | 0.930168i | \(0.619661\pi\) | |||||||
\(912\) | −7.08246 | + | 2.61511i | −0.234524 | + | 0.0865950i | ||||
\(913\) | 16.9195i | 0.559953i | ||||||||
\(914\) | 6.73516 | + | 5.65147i | 0.222779 | + | 0.186934i | ||||
\(915\) | −12.2028 | + | 6.74890i | −0.403412 | + | 0.223112i | ||||
\(916\) | −1.04159 | − | 5.90717i | −0.0344152 | − | 0.195178i | ||||
\(917\) | 11.5266 | − | 65.3708i | 0.380643 | − | 2.15873i | ||||
\(918\) | −6.22126 | + | 31.2718i | −0.205332 | + | 1.03212i | ||||
\(919\) | −21.3905 | − | 37.0495i | −0.705608 | − | 1.22215i | −0.966472 | − | 0.256774i | \(-0.917340\pi\) |
0.260863 | − | 0.965376i | \(-0.415993\pi\) | |||||||
\(920\) | 1.93456 | + | 18.3164i | 0.0637806 | + | 0.603874i | ||||
\(921\) | 10.6520 | + | 46.4489i | 0.350995 | + | 1.53054i | ||||
\(922\) | −18.8825 | + | 15.8443i | −0.621863 | + | 0.521805i | ||||
\(923\) | −1.21474 | + | 2.10399i | −0.0399836 | + | 0.0692536i | ||||
\(924\) | −25.3248 | + | 1.29004i | −0.833124 | + | 0.0424393i | ||||
\(925\) | 16.8657 | − | 21.6325i | 0.554542 | − | 0.711273i | ||||
\(926\) | 6.46462 | − | 36.6627i | 0.212441 | − | 1.20481i | ||||
\(927\) | 33.2503 | − | 34.2306i | 1.09208 | − | 1.12428i | ||||
\(928\) | 1.11495 | + | 3.06329i | 0.0365999 | + | 0.100558i | ||||
\(929\) | 2.28335 | − | 2.72119i | 0.0749142 | − | 0.0892792i | −0.727286 | − | 0.686335i | \(-0.759218\pi\) |
0.802200 | + | 0.597056i | \(0.203663\pi\) | |||||||
\(930\) | −23.8924 | + | 3.76080i | −0.783462 | + | 0.123322i | ||||
\(931\) | −35.3500 | − | 14.7510i | −1.15855 | − | 0.483446i | ||||
\(932\) | 12.6108 | 0.413082 | ||||||||
\(933\) | −10.6478 | − | 25.1871i | −0.348593 | − | 0.824587i | ||||
\(934\) | −9.41664 | − | 25.8720i | −0.308122 | − | 0.846558i | ||||
\(935\) | −36.3849 | − | 35.1007i | −1.18991 | − | 1.14792i | ||||
\(936\) | 3.53279 | + | 7.29745i | 0.115473 | + | 0.238525i | ||||
\(937\) | −4.22542 | + | 11.6092i | −0.138038 | + | 0.379257i | −0.989380 | − | 0.145355i | \(-0.953568\pi\) |
0.851341 | + | 0.524613i | \(0.175790\pi\) | |||||||
\(938\) | −10.4735 | − | 18.1406i | −0.341971 | − | 0.592310i | ||||
\(939\) | −19.6045 | + | 12.6906i | −0.639769 | + | 0.414141i | ||||
\(940\) | −23.4641 | − | 5.83757i | −0.765315 | − | 0.190401i | ||||
\(941\) | −23.3760 | + | 19.6148i | −0.762037 | + | 0.639425i | −0.938656 | − | 0.344854i | \(-0.887928\pi\) |
0.176619 | + | 0.984279i | \(0.443484\pi\) | |||||||
\(942\) | 15.8286 | + | 24.4523i | 0.515725 | + | 0.796698i | ||||
\(943\) | −24.3236 | − | 42.1298i | −0.792086 | − | 1.37193i | ||||
\(944\) | −3.85520 | − | 1.40318i | −0.125476 | − | 0.0456696i | ||||
\(945\) | −26.3329 | − | 37.9197i | −0.856608 | − | 1.23353i | ||||
\(946\) | 35.2911 | − | 6.22278i | 1.14741 | − | 0.202320i | ||||
\(947\) | −25.4271 | + | 9.25472i | −0.826270 | + | 0.300738i | −0.720327 | − | 0.693634i | \(-0.756008\pi\) |
−0.105943 | + | 0.994372i | \(0.533786\pi\) | |||||||
\(948\) | −5.38268 | − | 12.7326i | −0.174821 | − | 0.413535i | ||||
\(949\) | − | 0.501833i | − | 0.0162902i | ||||||
\(950\) | 20.5560 | − | 7.24226i | 0.666925 | − | 0.234970i | ||||
\(951\) | 26.8921 | + | 13.7518i | 0.872036 | + | 0.445934i | ||||
\(952\) | −18.6772 | − | 15.6720i | −0.605330 | − | 0.507933i | ||||
\(953\) | 2.13901 | + | 5.87687i | 0.0692892 | + | 0.190371i | 0.969504 | − | 0.245076i | \(-0.0788128\pi\) |
−0.900215 | + | 0.435446i | \(0.856591\pi\) | |||||||
\(954\) | −16.5837 | + | 17.0726i | −0.536917 | + | 0.552746i | ||||
\(955\) | 10.5392 | + | 21.5806i | 0.341039 | + | 0.698331i | ||||
\(956\) | −3.45803 | + | 9.50085i | −0.111841 | + | 0.307280i | ||||
\(957\) | −1.05840 | − | 20.7774i | −0.0342132 | − | 0.671637i | ||||
\(958\) | 16.0340 | − | 27.7717i | 0.518035 | − | 0.897263i | ||||
\(959\) | 15.1637 | + | 18.0713i | 0.489660 | + | 0.583554i | ||||
\(960\) | 2.54370 | − | 2.92055i | 0.0820974 | − | 0.0942604i | ||||
\(961\) | 3.99964 | − | 6.92758i | 0.129021 | − | 0.223470i | ||||
\(962\) | 12.8399 | − | 7.41313i | 0.413976 | − | 0.239009i | ||||
\(963\) | 37.9221 | − | 10.7539i | 1.22202 | − | 0.346541i | ||||
\(964\) | 12.7267 | + | 2.24407i | 0.409901 | + | 0.0722766i | ||||
\(965\) | 3.90501 | − | 4.04787i | 0.125707 | − | 0.130306i | ||||
\(966\) | 6.99076 | − | 56.2542i | 0.224924 | − | 1.80995i | ||||
\(967\) | 24.9493 | − | 29.7334i | 0.802314 | − | 0.956161i | −0.197394 | − | 0.980324i | \(-0.563248\pi\) |
0.999708 | + | 0.0241634i | \(0.00769218\pi\) | |||||||
\(968\) | 2.57625i | 0.0828039i | ||||||||
\(969\) | 35.6266 | + | 29.6135i | 1.14449 | + | 0.951321i | ||||
\(970\) | −14.3457 | + | 10.4340i | −0.460614 | + | 0.335014i | ||||
\(971\) | 19.4020 | + | 16.2802i | 0.622640 | + | 0.522457i | 0.898632 | − | 0.438703i | \(-0.144562\pi\) |
−0.275992 | + | 0.961160i | \(0.589006\pi\) | |||||||
\(972\) | 14.0793 | + | 6.69120i | 0.451595 | + | 0.214620i | ||||
\(973\) | 59.6442 | − | 10.5169i | 1.91211 | − | 0.337156i | ||||
\(974\) | 26.4668 | + | 4.66681i | 0.848051 | + | 0.149534i | ||||
\(975\) | −9.88179 | − | 21.2162i | −0.316471 | − | 0.679464i | ||||
\(976\) | 1.80026 | + | 3.11814i | 0.0576249 | + | 0.0998093i | ||||
\(977\) | 11.1102 | + | 6.41450i | 0.355448 | + | 0.205218i | 0.667082 | − | 0.744984i | \(-0.267543\pi\) |
−0.311634 | + | 0.950202i | \(0.600876\pi\) | |||||||
\(978\) | 2.13747 | + | 9.32063i | 0.0683487 | + | 0.298041i | ||||
\(979\) | −17.4467 | − | 20.7922i | −0.557599 | − | 0.664521i | ||||
\(980\) | 19.5410 | − | 2.06390i | 0.624214 | − | 0.0659289i | ||||
\(981\) | −5.64681 | − | 2.53396i | −0.180289 | − | 0.0809030i | ||||
\(982\) | −15.6442 | − | 5.69402i | −0.499226 | − | 0.181704i | ||||
\(983\) | −5.23194 | − | 0.922532i | −0.166873 | − | 0.0294242i | 0.0895874 | − | 0.995979i | \(-0.471445\pi\) |
−0.256460 | + | 0.966555i | \(0.582556\pi\) | |||||||
\(984\) | −3.00514 | + | 9.77814i | −0.0958002 | + | 0.311716i | ||||
\(985\) | 7.55690 | + | 5.09159i | 0.240783 | + | 0.162232i | ||||
\(986\) | 12.8579 | − | 15.3234i | 0.409478 | − | 0.487997i | ||||
\(987\) | 66.2575 | + | 33.8821i | 2.10900 | + | 1.07848i | ||||
\(988\) | 11.7675 | + | 0.544661i | 0.374374 | + | 0.0173280i | ||||
\(989\) | 80.1103i | 2.54736i | ||||||||
\(990\) | −20.9928 | + | 13.0473i | −0.667196 | + | 0.414670i | ||||
\(991\) | −16.7260 | − | 45.9543i | −0.531319 | − | 1.45979i | −0.857503 | − | 0.514480i | \(-0.827985\pi\) |
0.326184 | − | 0.945306i | \(-0.394237\pi\) | |||||||
\(992\) | 1.08442 | + | 6.15007i | 0.0344304 | + | 0.195265i | ||||
\(993\) | 12.5143 | − | 16.5566i | 0.397129 | − | 0.525407i | ||||
\(994\) | −3.35648 | − | 1.22166i | −0.106461 | − | 0.0387487i | ||||
\(995\) | −17.1303 | + | 38.5280i | −0.543066 | + | 1.22142i | ||||
\(996\) | 4.32201 | + | 6.67670i | 0.136948 | + | 0.211559i | ||||
\(997\) | 13.8508 | + | 16.5067i | 0.438659 | + | 0.522773i | 0.939400 | − | 0.342824i | \(-0.111383\pi\) |
−0.500741 | + | 0.865597i | \(0.666939\pi\) | |||||||
\(998\) | 0.761580 | + | 0.907615i | 0.0241074 | + | 0.0287301i | ||||
\(999\) | 10.3325 | − | 26.5679i | 0.326907 | − | 0.840570i |
(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 | 570.2.bf.a.269.9 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.25 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.32 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.16 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.16 | yes | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.32 | yes | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.25 | yes | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.9 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.9 | ✓ | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.89.16 | yes | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.89.25 | yes | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.89.32 | yes | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.269.9 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.269.16 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.269.25 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.269.32 | yes | 240 | 5.4 | even | 2 | inner |