Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,2,Mod(53,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("720.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 720.bg (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.74922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 53.11 | ||
Character | \(\chi\) | \(=\) | 720.53 |
Dual form | 720.2.bg.a.557.11 |
$q$-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 \(\left(\mathbb{Z}/720\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(271\) | \(577\) | \(641\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01816 | − | 0.981505i | −0.719947 | − | 0.694029i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0732970 | + | 1.99866i | 0.0366485 | + | 0.999328i | ||||
\(5\) | 1.34765 | + | 1.78433i | 0.602688 | + | 0.797977i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.52140 | + | 3.52140i | 1.33097 | + | 1.33097i | 0.904507 | + | 0.426458i | \(0.140239\pi\) |
0.426458 | + | 0.904507i | \(0.359761\pi\) | |||||||
\(8\) | 1.88706 | − | 2.10689i | 0.667177 | − | 0.744899i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.379207 | − | 3.13946i | 0.119916 | − | 0.992784i | ||||
\(11\) | 0.794589 | − | 0.794589i | 0.239578 | − | 0.239578i | −0.577098 | − | 0.816675i | \(-0.695815\pi\) |
0.816675 | + | 0.577098i | \(0.195815\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.81495 | −0.503376 | −0.251688 | − | 0.967808i | \(-0.580986\pi\) | ||||
−0.251688 | + | 0.967808i | \(0.580986\pi\) | |||||||
\(14\) | −0.129076 | − | 7.04162i | −0.0344970 | − | 1.88195i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.98926 | + | 0.292991i | −0.997314 | + | 0.0732478i | ||||
\(17\) | 0.579924 | + | 0.579924i | 0.140652 | + | 0.140652i | 0.773927 | − | 0.633275i | \(-0.218290\pi\) |
−0.633275 | + | 0.773927i | \(0.718290\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.07807 | + | 4.07807i | 0.935573 | + | 0.935573i | 0.998047 | − | 0.0624739i | \(-0.0198990\pi\) |
−0.0624739 | + | 0.998047i | \(0.519899\pi\) | |||||||
\(20\) | −3.46749 | + | 2.82428i | −0.775354 | + | 0.631527i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.58891 | + | 0.0291254i | −0.338757 | + | 0.00620956i | ||||
\(23\) | −4.47496 | − | 4.47496i | −0.933094 | − | 0.933094i | 0.0648038 | − | 0.997898i | \(-0.479358\pi\) |
−0.997898 | + | 0.0648038i | \(0.979358\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.36768 | + | 4.80931i | −0.273535 | + | 0.961862i | ||||
\(26\) | 1.84791 | + | 1.78138i | 0.362404 | + | 0.349357i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.77997 | + | 7.29618i | −1.28129 | + | 1.37885i | ||||
\(29\) | −2.53613 | + | 2.53613i | −0.470948 | + | 0.470948i | −0.902221 | − | 0.431273i | \(-0.858065\pi\) |
0.431273 | + | 0.902221i | \(0.358065\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.04252 | −1.44448 | −0.722239 | − | 0.691643i | \(-0.756887\pi\) | ||||
−0.722239 | + | 0.691643i | \(0.756887\pi\) | |||||||
\(32\) | 4.34927 | + | 3.61716i | 0.768850 | + | 0.639430i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0212569 | − | 1.15965i | −0.00364553 | − | 0.198879i | ||||
\(35\) | −1.53773 | + | 11.0290i | −0.259924 | + | 1.86424i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.45883 | 0.897426 | 0.448713 | − | 0.893676i | \(-0.351883\pi\) | ||||
0.448713 | + | 0.893676i | \(0.351883\pi\) | |||||||
\(38\) | −0.149480 | − | 8.15476i | −0.0242489 | − | 1.32288i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.30249 | + | 0.527791i | 0.996512 | + | 0.0834511i | ||||
\(41\) | 3.39090 | 0.529569 | 0.264785 | − | 0.964308i | \(-0.414699\pi\) | ||||
0.264785 | + | 0.964308i | \(0.414699\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.86388i | − | 0.741735i | −0.928686 | − | 0.370868i | \(-0.879060\pi\) | ||
0.928686 | − | 0.370868i | \(-0.120940\pi\) | |||||||
\(44\) | 1.64635 | + | 1.52987i | 0.248197 | + | 0.230637i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.164028 | + | 8.94842i | 0.0241846 | + | 1.31937i | ||||
\(47\) | −5.83824 | − | 5.83824i | −0.851595 | − | 0.851595i | 0.138735 | − | 0.990330i | \(-0.455696\pi\) |
−0.990330 | + | 0.138735i | \(0.955696\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 17.8006i | 2.54294i | ||||||||
\(50\) | 6.11287 | − | 3.55426i | 0.864491 | − | 0.502649i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.133030 | − | 3.62746i | −0.0184480 | − | 0.503038i | ||||
\(53\) | 7.71651 | 1.05994 | 0.529972 | − | 0.848015i | \(-0.322202\pi\) | ||||
0.529972 | + | 0.848015i | \(0.322202\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.48864 | + | 0.346982i | 0.335568 | + | 0.0467871i | ||||
\(56\) | 14.0643 | − | 0.774108i | 1.87942 | − | 0.103445i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.07142 | − | 0.0929611i | 0.665909 | − | 0.0122064i | ||||
\(59\) | 3.16642 | + | 3.16642i | 0.412232 | + | 0.412232i | 0.882516 | − | 0.470283i | \(-0.155848\pi\) |
−0.470283 | + | 0.882516i | \(0.655848\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.48943 | − | 2.48943i | 0.318739 | − | 0.318739i | −0.529544 | − | 0.848283i | \(-0.677637\pi\) |
0.848283 | + | 0.529544i | \(0.177637\pi\) | |||||||
\(62\) | 8.18857 | + | 7.89377i | 1.03995 | + | 1.00251i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.877989 | − | 7.95167i | −0.109749 | − | 0.993959i | ||||
\(65\) | −2.44591 | − | 3.23847i | −0.303378 | − | 0.401682i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 2.85214i | − | 0.348444i | −0.984706 | − | 0.174222i | \(-0.944259\pi\) | ||
0.984706 | − | 0.174222i | \(-0.0557411\pi\) | |||||||
\(68\) | −1.11656 | + | 1.20158i | −0.135403 | + | 0.145712i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.3906 | − | 9.71996i | 1.48097 | − | 1.16176i | ||||
\(71\) | −7.31072 | −0.867623 | −0.433812 | − | 0.901004i | \(-0.642832\pi\) | ||||
−0.433812 | + | 0.901004i | \(0.642832\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.1613 | − | 10.1613i | 1.18929 | − | 1.18929i | 0.212032 | − | 0.977263i | \(-0.431992\pi\) |
0.977263 | − | 0.212032i | \(-0.0680082\pi\) | |||||||
\(74\) | −5.55796 | − | 5.35787i | −0.646099 | − | 0.622839i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.85174 | + | 8.44956i | −0.900657 | + | 0.969232i | ||||
\(77\) | 5.59614 | 0.637739 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 9.50285i | − | 1.06915i | −0.845120 | − | 0.534577i | \(-0.820471\pi\) | ||
0.845120 | − | 0.534577i | \(-0.179529\pi\) | |||||||
\(80\) | −5.89891 | − | 6.72330i | −0.659519 | − | 0.751688i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.45247 | − | 3.32818i | −0.381262 | − | 0.367536i | ||||
\(83\) | 10.8245i | 1.18814i | 0.804412 | + | 0.594072i | \(0.202481\pi\) | ||||
−0.804412 | + | 0.594072i | \(0.797519\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.253242 | + | 1.81631i | −0.0274679 | + | 0.197007i | ||||
\(86\) | −4.77392 | + | 4.95221i | −0.514786 | + | 0.534010i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.174674 | − | 3.17355i | −0.0186203 | − | 0.338302i | ||||
\(89\) | 8.83938i | 0.936972i | 0.883471 | + | 0.468486i | \(0.155200\pi\) | ||||
−0.883471 | + | 0.468486i | \(0.844800\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.39116 | − | 6.39116i | −0.669976 | − | 0.669976i | ||||
\(92\) | 8.61591 | − | 9.27191i | 0.898271 | − | 0.966664i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.213999 | + | 11.6745i | 0.0220723 | + | 1.20413i | ||||
\(95\) | −1.78081 | + | 12.7724i | −0.182708 | + | 1.31042i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.78908 | − | 2.78908i | 0.283188 | − | 0.283188i | −0.551191 | − | 0.834379i | \(-0.685826\pi\) |
0.834379 | + | 0.551191i | \(0.185826\pi\) | |||||||
\(98\) | 17.4713 | − | 18.1238i | 1.76487 | − | 1.83078i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.71240 | − | 2.38101i | −0.971240 | − | 0.238101i | ||||
\(101\) | −10.5540 | + | 10.5540i | −1.05016 | + | 1.05016i | −0.0514876 | + | 0.998674i | \(0.516396\pi\) |
−0.998674 | + | 0.0514876i | \(0.983604\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.12084 | − | 2.12084i | 0.208973 | − | 0.208973i | −0.594858 | − | 0.803831i | \(-0.702792\pi\) |
0.803831 | + | 0.594858i | \(0.202792\pi\) | |||||||
\(104\) | −3.42492 | + | 3.82390i | −0.335841 | + | 0.374964i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.85664 | − | 7.57379i | −0.763104 | − | 0.735632i | ||||
\(107\) | 3.88547i | 0.375622i | 0.982205 | + | 0.187811i | \(0.0601393\pi\) | ||||
−0.982205 | + | 0.187811i | \(0.939861\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.4641 | + | 12.4641i | 1.19385 | + | 1.19385i | 0.975978 | + | 0.217871i | \(0.0699112\pi\) |
0.217871 | + | 0.975978i | \(0.430089\pi\) | |||||||
\(110\) | −2.19327 | − | 2.79589i | −0.209120 | − | 0.266578i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −15.0795 | − | 13.0160i | −1.42488 | − | 1.22990i | ||||
\(113\) | 12.7492 | − | 12.7492i | 1.19934 | − | 1.19934i | 0.224978 | − | 0.974364i | \(-0.427769\pi\) |
0.974364 | − | 0.224978i | \(-0.0722311\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.95413 | − | 14.0155i | 0.182224 | − | 1.30695i | ||||
\(116\) | −5.25475 | − | 4.88297i | −0.487891 | − | 0.453372i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.116064 | − | 6.33177i | −0.0106846 | − | 0.582887i | ||||
\(119\) | 4.08429i | 0.374406i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.73726i | 0.885205i | ||||||||
\(122\) | −4.97803 | + | 0.0912493i | −0.450689 | + | 0.00826132i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.589493 | − | 16.0742i | −0.0529380 | − | 1.44351i | ||||
\(125\) | −10.4246 | + | 4.04088i | −0.932400 | + | 0.361427i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.37383 | − | 9.37383i | 0.831793 | − | 0.831793i | −0.155969 | − | 0.987762i | \(-0.549850\pi\) |
0.987762 | + | 0.155969i | \(0.0498501\pi\) | |||||||
\(128\) | −6.91067 | + | 8.95782i | −0.610823 | + | 0.791767i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.688240 | + | 5.69795i | −0.0603627 | + | 0.499743i | ||||
\(131\) | 0.885812 | + | 0.885812i | 0.0773937 | + | 0.0773937i | 0.744744 | − | 0.667350i | \(-0.232572\pi\) |
−0.667350 | + | 0.744744i | \(0.732572\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 28.7210i | 2.49043i | ||||||||
\(134\) | −2.79939 | + | 2.90393i | −0.241830 | + | 0.250861i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.31619 | − | 0.127484i | 0.198612 | − | 0.0109317i | ||||
\(137\) | 1.99530 | − | 1.99530i | 0.170470 | − | 0.170470i | −0.616716 | − | 0.787186i | \(-0.711537\pi\) |
0.787186 | + | 0.616716i | \(0.211537\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.37150 | − | 4.37150i | 0.370786 | − | 0.370786i | −0.496977 | − | 0.867763i | \(-0.665557\pi\) |
0.867763 | + | 0.496977i | \(0.165557\pi\) | |||||||
\(140\) | −22.1558 | − | 2.26500i | −1.87251 | − | 0.191428i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.44348 | + | 7.17551i | 0.624643 | + | 0.602155i | ||||
\(143\) | −1.44214 | + | 1.44214i | −0.120598 | + | 0.120598i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.94312 | − | 1.10748i | −0.659641 | − | 0.0919713i | ||||
\(146\) | −20.3193 | + | 0.372461i | −1.68163 | + | 0.0308251i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.400116 | + | 10.9103i | 0.0328893 | + | 0.896823i | ||||
\(149\) | −6.12416 | − | 6.12416i | −0.501711 | − | 0.501711i | 0.410259 | − | 0.911969i | \(-0.365438\pi\) |
−0.911969 | + | 0.410259i | \(0.865438\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.97875i | 0.486544i | 0.969958 | + | 0.243272i | \(0.0782207\pi\) | ||||
−0.969958 | + | 0.243272i | \(0.921779\pi\) | |||||||
\(152\) | 16.2876 | − | 0.896479i | 1.32110 | − | 0.0727141i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.69776 | − | 5.49264i | −0.459139 | − | 0.442609i | ||||
\(155\) | −10.8385 | − | 14.3505i | −0.870569 | − | 1.15266i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 18.8879i | − | 1.50742i | −0.657209 | − | 0.753708i | \(-0.728263\pi\) | ||
0.657209 | − | 0.753708i | \(-0.271737\pi\) | |||||||
\(158\) | −9.32710 | + | 9.67542i | −0.742024 | + | 0.769735i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.592920 | + | 12.6352i | −0.0468744 | + | 0.998901i | ||||
\(161\) | − | 31.5163i | − | 2.48383i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.5507 | −1.13970 | −0.569849 | − | 0.821749i | \(-0.692998\pi\) | ||||
−0.569849 | + | 0.821749i | \(0.692998\pi\) | |||||||
\(164\) | 0.248543 | + | 6.77724i | 0.0194079 | + | 0.529213i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.6243 | − | 11.0211i | 0.824606 | − | 0.855402i | ||||
\(167\) | −15.6578 | + | 15.6578i | −1.21164 | + | 1.21164i | −0.241151 | + | 0.970488i | \(0.577525\pi\) |
−0.970488 | + | 0.241151i | \(0.922475\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.70597 | −0.746613 | ||||||||
\(170\) | 2.04056 | − | 1.60074i | 0.156504 | − | 0.122771i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.72123 | − | 0.356508i | 0.741237 | − | 0.0271835i | ||||
\(173\) | 7.10719i | 0.540350i | 0.962811 | + | 0.270175i | \(0.0870815\pi\) | ||||
−0.962811 | + | 0.270175i | \(0.912919\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −21.7517 | + | 12.1194i | −1.64427 | + | 0.916139i | ||||
\(176\) | −2.93701 | + | 3.40263i | −0.221386 | + | 0.256483i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.67589 | − | 8.99989i | 0.650285 | − | 0.674571i | ||||
\(179\) | 15.6929 | − | 15.6929i | 1.17294 | − | 1.17294i | 0.191440 | − | 0.981504i | \(-0.438684\pi\) |
0.981504 | − | 0.191440i | \(-0.0613157\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.56063 | + | 6.56063i | 0.487648 | + | 0.487648i | 0.907563 | − | 0.419915i | \(-0.137940\pi\) |
−0.419915 | + | 0.907563i | \(0.637940\pi\) | |||||||
\(182\) | 0.234266 | + | 12.7802i | 0.0173649 | + | 0.947330i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.8728 | + | 0.983729i | −1.31760 | + | 0.0725214i | ||||
\(185\) | 7.35659 | + | 9.74036i | 0.540867 | + | 0.716125i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.921603 | 0.0673943 | ||||||||
\(188\) | 11.2407 | − | 12.0966i | 0.819813 | − | 0.882232i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 14.3494 | − | 11.2565i | 1.04101 | − | 0.816632i | ||||
\(191\) | − | 20.4598i | − | 1.48042i | −0.672376 | − | 0.740210i | \(-0.734726\pi\) | ||
0.672376 | − | 0.740210i | \(-0.265274\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.7677 | − | 15.7677i | −1.13498 | − | 1.13498i | −0.989337 | − | 0.145647i | \(-0.953474\pi\) |
−0.145647 | − | 0.989337i | \(-0.546526\pi\) | |||||||
\(194\) | −5.57722 | + | 0.102233i | −0.400421 | + | 0.00733989i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −35.5772 | + | 1.30473i | −2.54123 | + | 0.0931949i | ||||
\(197\) | 4.69499i | 0.334504i | 0.985914 | + | 0.167252i | \(0.0534894\pi\) | ||||
−0.985914 | + | 0.167252i | \(0.946511\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.71983 | 0.334580 | 0.167290 | − | 0.985908i | \(-0.446498\pi\) | ||||
0.167290 | + | 0.985908i | \(0.446498\pi\) | |||||||
\(200\) | 7.55180 | + | 11.9570i | 0.533993 | + | 0.845489i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 21.1044 | − | 0.386853i | 1.48490 | − | 0.0272189i | ||||
\(203\) | −17.8615 | −1.25363 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.56974 | + | 6.05048i | 0.319165 | + | 0.422584i | ||||
\(206\) | −4.24097 | + | 0.0777388i | −0.295483 | + | 0.00541632i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.24029 | − | 0.531763i | 0.502024 | − | 0.0368712i | ||||
\(209\) | 6.48078 | 0.448285 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.98274 | − | 8.98274i | 0.618397 | − | 0.618397i | −0.326723 | − | 0.945120i | \(-0.605944\pi\) |
0.945120 | + | 0.326723i | \(0.105944\pi\) | |||||||
\(212\) | 0.565597 | + | 15.4227i | 0.0388454 | + | 1.05923i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.81360 | − | 3.95602i | 0.260692 | − | 0.270428i | ||||
\(215\) | 8.67878 | − | 6.55481i | 0.591888 | − | 0.447035i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −28.3210 | − | 28.3210i | −1.92255 | − | 1.92255i | ||||
\(218\) | −0.456869 | − | 24.9241i | −0.0309431 | − | 1.68807i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.511088 | + | 4.99937i | −0.0344576 | + | 0.337057i | ||||
\(221\) | −1.05253 | − | 1.05253i | −0.0708009 | − | 0.0708009i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.38870 | − | 3.38870i | −0.226924 | − | 0.226924i | 0.584482 | − | 0.811406i | \(-0.301298\pi\) |
−0.811406 | + | 0.584482i | \(0.801298\pi\) | |||||||
\(224\) | 2.57805 | + | 28.0530i | 0.172253 | + | 1.87437i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −25.4941 | + | 0.467317i | −1.69584 | + | 0.0310855i | ||||
\(227\) | 12.7291 | 0.844857 | 0.422429 | − | 0.906396i | \(-0.361178\pi\) | ||||
0.422429 | + | 0.906396i | \(0.361178\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.3978 | + | 18.3978i | −1.21576 | + | 1.21576i | −0.246662 | + | 0.969102i | \(0.579334\pi\) |
−0.969102 | + | 0.246662i | \(0.920666\pi\) | |||||||
\(230\) | −15.7459 | + | 12.3520i | −1.03825 | + | 0.814468i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.557517 | + | 10.1292i | 0.0366028 | + | 0.665015i | ||||
\(233\) | 4.78291 | + | 4.78291i | 0.313339 | + | 0.313339i | 0.846202 | − | 0.532863i | \(-0.178884\pi\) |
−0.532863 | + | 0.846202i | \(0.678884\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.54945 | − | 18.2853i | 0.166308 | − | 1.19280i | ||||
\(236\) | −6.09649 | + | 6.56067i | −0.396848 | + | 0.427063i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.00875 | − | 4.15846i | 0.259849 | − | 0.269553i | ||||
\(239\) | −9.68868 | −0.626709 | −0.313354 | − | 0.949636i | \(-0.601453\pi\) | ||||
−0.313354 | + | 0.949636i | \(0.601453\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.75923 | 0.435400 | 0.217700 | − | 0.976016i | \(-0.430145\pi\) | ||||
0.217700 | + | 0.976016i | \(0.430145\pi\) | |||||||
\(242\) | 9.55716 | − | 9.91408i | 0.614358 | − | 0.637301i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.15799 | + | 4.79305i | 0.330206 | + | 0.306844i | ||||
\(245\) | −31.7621 | + | 23.9889i | −2.02921 | + | 1.53260i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.40148 | − | 7.40148i | −0.470945 | − | 0.470945i | ||||
\(248\) | −15.1767 | + | 16.9447i | −0.963724 | + | 1.07599i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.5800 | + | 6.11749i | 0.922120 | + | 0.386904i | ||||
\(251\) | 11.0136 | − | 11.0136i | 0.695172 | − | 0.695172i | −0.268193 | − | 0.963365i | \(-0.586426\pi\) |
0.963365 | + | 0.268193i | \(0.0864264\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.11152 | −0.447097 | ||||||||
\(254\) | −18.7445 | + | 0.343594i | −1.17613 | + | 0.0215590i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.8283 | − | 2.33763i | 0.989270 | − | 0.146102i | ||||
\(257\) | −4.29957 | − | 4.29957i | −0.268200 | − | 0.268200i | 0.560175 | − | 0.828374i | \(-0.310734\pi\) |
−0.828374 | + | 0.560175i | \(0.810734\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 19.2227 | + | 19.2227i | 1.19444 | + | 1.19444i | ||||
\(260\) | 6.29330 | − | 5.12591i | 0.390294 | − | 0.317896i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.0324691 | − | 1.77133i | −0.00200595 | − | 0.109433i | ||||
\(263\) | −20.2348 | − | 20.2348i | −1.24773 | − | 1.24773i | −0.956720 | − | 0.291012i | \(-0.906008\pi\) |
−0.291012 | − | 0.956720i | \(-0.593992\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.3992 | + | 13.7688i | 0.638815 | + | 0.845811i | ||||
\(266\) | 28.1898 | − | 29.2426i | 1.72843 | − | 1.79298i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.70044 | − | 0.209053i | 0.348210 | − | 0.0127700i | ||||
\(269\) | 22.6091 | − | 22.6091i | 1.37850 | − | 1.37850i | 0.531350 | − | 0.847152i | \(-0.321685\pi\) |
0.847152 | − | 0.531350i | \(-0.178315\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.832633 | 0.0505788 | 0.0252894 | − | 0.999680i | \(-0.491949\pi\) | ||||
0.0252894 | + | 0.999680i | \(0.491949\pi\) | |||||||
\(272\) | −2.48338 | − | 2.14355i | −0.150577 | − | 0.129972i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.98993 | + | 0.0731371i | −0.241041 | + | 0.00441837i | ||||
\(275\) | 2.73468 | + | 4.90817i | 0.164908 | + | 0.295974i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 24.8462 | 1.49286 | 0.746431 | − | 0.665463i | \(-0.231766\pi\) | ||||
0.746431 | + | 0.665463i | \(0.231766\pi\) | |||||||
\(278\) | −8.74154 | + | 0.160236i | −0.524282 | + | 0.00961031i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.3351 | + | 24.0522i | 1.21525 | + | 1.43739i | ||||
\(281\) | 11.4754 | 0.684563 | 0.342281 | − | 0.939597i | \(-0.388800\pi\) | ||||
0.342281 | + | 0.939597i | \(0.388800\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 5.19216i | − | 0.308642i | −0.988021 | − | 0.154321i | \(-0.950681\pi\) | ||
0.988021 | − | 0.154321i | \(-0.0493190\pi\) | |||||||
\(284\) | −0.535854 | − | 14.6116i | −0.0317971 | − | 0.867040i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.88379 | − | 0.0528611i | 0.170522 | − | 0.00312574i | ||||
\(287\) | 11.9407 | + | 11.9407i | 0.704838 | + | 0.704838i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 16.3274i | − | 0.960434i | ||||||
\(290\) | 7.00037 | + | 8.92381i | 0.411076 | + | 0.524024i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 21.0538 | + | 19.5642i | 1.23208 | + | 1.14491i | ||||
\(293\) | 17.0751 | 0.997538 | 0.498769 | − | 0.866735i | \(-0.333786\pi\) | ||||
0.498769 | + | 0.866735i | \(0.333786\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.38271 | + | 9.91716i | −0.0805048 | + | 0.577400i | ||||
\(296\) | 10.3012 | − | 11.5012i | 0.598742 | − | 0.668491i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.224479 | + | 12.2463i | 0.0130037 | + | 0.709407i | ||||
\(299\) | 8.12182 | + | 8.12182i | 0.469697 | + | 0.469697i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.1277 | − | 17.1277i | 0.987224 | − | 0.987224i | ||||
\(302\) | 5.86817 | − | 6.08732i | 0.337675 | − | 0.350286i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −17.4633 | − | 15.0736i | −1.00159 | − | 0.864531i | ||||
\(305\) | 7.79685 | + | 1.08709i | 0.446447 | + | 0.0622465i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 14.8391i | − | 0.846909i | −0.905917 | − | 0.423455i | \(-0.860817\pi\) | ||
0.905917 | − | 0.423455i | \(-0.139183\pi\) | |||||||
\(308\) | 0.410180 | + | 11.1848i | 0.0233722 | + | 0.637311i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.04978 | + | 25.2492i | −0.173216 | + | 1.43406i | ||||
\(311\) | −11.7454 | −0.666020 | −0.333010 | − | 0.942923i | \(-0.608064\pi\) | ||||
−0.333010 | + | 0.942923i | \(0.608064\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.70099 | − | 6.70099i | 0.378762 | − | 0.378762i | −0.491893 | − | 0.870655i | \(-0.663695\pi\) |
0.870655 | + | 0.491893i | \(0.163695\pi\) | |||||||
\(314\) | −18.5385 | + | 19.2309i | −1.04619 | + | 1.08526i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.9929 | − | 0.696531i | 1.06844 | − | 0.0391829i | ||||
\(317\) | 18.6931 | 1.04991 | 0.524956 | − | 0.851130i | \(-0.324082\pi\) | ||||
0.524956 | + | 0.851130i | \(0.324082\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.03037i | 0.225657i | ||||||||
\(320\) | 13.0052 | − | 12.2827i | 0.727013 | − | 0.686624i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −30.9334 | + | 32.0886i | −1.72385 | + | 1.78823i | ||||
\(323\) | 4.72994i | 0.263181i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.48226 | − | 8.72864i | 0.137691 | − | 0.484178i | ||||
\(326\) | 14.8149 | + | 14.2816i | 0.820523 | + | 0.790983i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.39884 | − | 7.14426i | 0.353317 | − | 0.394475i | ||||
\(329\) | − | 41.1176i | − | 2.26689i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.985138 | + | 0.985138i | 0.0541481 | + | 0.0541481i | 0.733662 | − | 0.679514i | \(-0.237809\pi\) |
−0.679514 | + | 0.733662i | \(0.737809\pi\) | |||||||
\(332\) | −21.6345 | + | 0.793404i | −1.18735 | + | 0.0435437i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 31.3104 | − | 0.573932i | 1.71323 | − | 0.0314042i | ||||
\(335\) | 5.08916 | − | 3.84368i | 0.278051 | − | 0.210003i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.2732 | + | 12.2732i | −0.668565 | + | 0.668565i | −0.957384 | − | 0.288819i | \(-0.906738\pi\) |
0.288819 | + | 0.957384i | \(0.406738\pi\) | |||||||
\(338\) | 9.88222 | + | 9.52645i | 0.537522 | + | 0.518171i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.64874 | − | 0.373013i | −0.197881 | − | 0.0202295i | ||||
\(341\) | −6.39050 | + | 6.39050i | −0.346065 | + | 0.346065i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −38.0332 | + | 38.0332i | −2.05360 | + | 2.05360i | ||||
\(344\) | −10.2477 | − | 9.17845i | −0.552518 | − | 0.494869i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.97574 | − | 7.23625i | 0.375018 | − | 0.389023i | ||||
\(347\) | − | 9.51724i | − | 0.510912i | −0.966821 | − | 0.255456i | \(-0.917774\pi\) | ||
0.966821 | − | 0.255456i | \(-0.0822257\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.54235 | − | 6.54235i | −0.350204 | − | 0.350204i | 0.509981 | − | 0.860185i | \(-0.329652\pi\) |
−0.860185 | + | 0.509981i | \(0.829652\pi\) | |||||||
\(350\) | 34.0419 | + | 9.00990i | 1.81962 | + | 0.481600i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.33004 | − | 0.581726i | 0.337392 | − | 0.0310061i | ||||
\(353\) | −9.78695 | + | 9.78695i | −0.520907 | + | 0.520907i | −0.917845 | − | 0.396938i | \(-0.870073\pi\) |
0.396938 | + | 0.917845i | \(0.370073\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.85230 | − | 13.0448i | −0.522906 | − | 0.692344i | ||||
\(356\) | −17.6669 | + | 0.647900i | −0.936343 | + | 0.0343386i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −31.3806 | + | 0.575219i | −1.65852 | + | 0.0304013i | ||||
\(359\) | 2.64535i | 0.139616i | 0.997560 | + | 0.0698081i | \(0.0222387\pi\) | ||||
−0.997560 | + | 0.0698081i | \(0.977761\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.2613i | 0.750593i | ||||||||
\(362\) | −0.240478 | − | 13.1191i | −0.0126392 | − | 0.689522i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.3053 | − | 13.2422i | 0.644972 | − | 0.694079i | ||||
\(365\) | 31.8251 | + | 4.43727i | 1.66580 | + | 0.232257i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.03995 | − | 6.03995i | 0.315283 | − | 0.315283i | −0.531669 | − | 0.846952i | \(-0.678435\pi\) |
0.846952 | + | 0.531669i | \(0.178435\pi\) | |||||||
\(368\) | 19.1629 | + | 16.5406i | 0.998935 | + | 0.862241i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.07003 | − | 17.1378i | 0.107615 | − | 0.890950i | ||||
\(371\) | 27.1729 | + | 27.1729i | 1.41075 | + | 1.41075i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 14.7609i | − | 0.764288i | −0.924103 | − | 0.382144i | \(-0.875186\pi\) | ||
0.924103 | − | 0.382144i | \(-0.124814\pi\) | |||||||
\(374\) | −0.938338 | − | 0.904557i | −0.0485203 | − | 0.0467736i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −23.3177 | + | 1.28342i | −1.20252 | + | 0.0661872i | ||||
\(377\) | 4.60295 | − | 4.60295i | 0.237064 | − | 0.237064i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.5335 | + | 15.5335i | −0.797902 | + | 0.797902i | −0.982764 | − | 0.184862i | \(-0.940816\pi\) |
0.184862 | + | 0.982764i | \(0.440816\pi\) | |||||||
\(380\) | −25.6582 | − | 2.62306i | −1.31624 | − | 0.134560i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.0814 | + | 20.8313i | −1.02745 | + | 1.06582i | ||||
\(383\) | 9.61642 | − | 9.61642i | 0.491376 | − | 0.491376i | −0.417363 | − | 0.908740i | \(-0.637046\pi\) |
0.908740 | + | 0.417363i | \(0.137046\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.54164 | + | 9.98537i | 0.384358 | + | 0.508902i | ||||
\(386\) | 0.577960 | + | 31.5301i | 0.0294174 | + | 1.60484i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.77885 | + | 5.36998i | 0.293376 | + | 0.272620i | ||||
\(389\) | 2.77405 | + | 2.77405i | 0.140650 | + | 0.140650i | 0.773926 | − | 0.633276i | \(-0.218290\pi\) |
−0.633276 | + | 0.773926i | \(0.718290\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 5.19028i | − | 0.262483i | ||||||
\(392\) | 37.5039 | + | 33.5908i | 1.89423 | + | 1.69659i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.60816 | − | 4.78025i | 0.232156 | − | 0.240826i | ||||
\(395\) | 16.9562 | − | 12.8065i | 0.853161 | − | 0.644366i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 26.0603i | 1.30793i | 0.756526 | + | 0.653963i | \(0.226895\pi\) | ||||
−0.756526 | + | 0.653963i | \(0.773105\pi\) | |||||||
\(398\) | −4.80554 | − | 4.63253i | −0.240880 | − | 0.232208i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.04693 | − | 19.5863i | 0.202346 | − | 0.979314i | ||||
\(401\) | 2.43479i | 0.121587i | 0.998150 | + | 0.0607937i | \(0.0193632\pi\) | ||||
−0.998150 | + | 0.0607937i | \(0.980637\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.5967 | 0.727116 | ||||||||
\(404\) | −21.8674 | − | 20.3202i | −1.08794 | − | 1.01097i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.1859 | + | 17.5311i | 0.902549 | + | 0.870056i | ||||
\(407\) | 4.33753 | − | 4.33753i | 0.215003 | − | 0.215003i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.9845 | 0.592596 | 0.296298 | − | 0.955096i | \(-0.404248\pi\) | ||||
0.296298 | + | 0.955096i | \(0.404248\pi\) | |||||||
\(410\) | 1.28585 | − | 10.6456i | 0.0635037 | − | 0.525748i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.39429 | + | 4.08339i | 0.216491 | + | 0.201174i | ||||
\(413\) | 22.3005i | 1.09733i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.3145 | + | 14.5877i | −0.948112 | + | 0.716080i | ||||
\(416\) | −7.89369 | − | 6.56496i | −0.387020 | − | 0.321873i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.59846 | − | 6.36091i | −0.322741 | − | 0.311122i | ||||
\(419\) | −22.9083 | + | 22.9083i | −1.11914 | + | 1.11914i | −0.127277 | + | 0.991867i | \(0.540624\pi\) |
−0.991867 | + | 0.127277i | \(0.959376\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.98144 | − | 6.98144i | −0.340255 | − | 0.340255i | 0.516208 | − | 0.856463i | \(-0.327343\pi\) |
−0.856463 | + | 0.516208i | \(0.827343\pi\) | |||||||
\(422\) | −17.9625 | + | 0.329259i | −0.874399 | + | 0.0160281i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 14.5615 | − | 16.2579i | 0.707171 | − | 0.789551i | ||||
\(425\) | −3.58218 | + | 1.99588i | −0.173761 | + | 0.0968146i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.5326 | 0.848461 | ||||||||
\(428\) | −7.76571 | + | 0.284793i | −0.375370 | + | 0.0137660i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.2700 | − | 1.84442i | −0.736383 | − | 0.0889458i | ||||
\(431\) | − | 18.2408i | − | 0.878628i | −0.898334 | − | 0.439314i | \(-0.855222\pi\) | ||
0.898334 | − | 0.439314i | \(-0.144778\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.5917 | − | 11.5917i | −0.557061 | − | 0.557061i | 0.371409 | − | 0.928469i | \(-0.378875\pi\) |
−0.928469 | + | 0.371409i | \(0.878875\pi\) | |||||||
\(434\) | 1.03810 | + | 56.6324i | 0.0498302 | + | 2.71844i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −23.9980 | + | 25.8251i | −1.14929 | + | 1.23680i | ||||
\(437\) | − | 36.4984i | − | 1.74595i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.15895 | 0.0553134 | 0.0276567 | − | 0.999617i | \(-0.491195\pi\) | ||||
0.0276567 | + | 0.999617i | \(0.491195\pi\) | |||||||
\(440\) | 5.42727 | − | 4.58852i | 0.258735 | − | 0.218749i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0385802 | + | 2.10471i | 0.00183507 | + | 0.100111i | ||||
\(443\) | 8.12743 | 0.386146 | 0.193073 | − | 0.981184i | \(-0.438155\pi\) | ||||
0.193073 | + | 0.981184i | \(0.438155\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.7724 | + | 11.9124i | −0.747682 | + | 0.564701i | ||||
\(446\) | 0.124212 | + | 6.77625i | 0.00588159 | + | 0.320865i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 24.9093 | − | 31.0928i | 1.17685 | − | 1.46900i | ||||
\(449\) | 4.24882 | 0.200514 | 0.100257 | − | 0.994962i | \(-0.468033\pi\) | ||||
0.100257 | + | 0.994962i | \(0.468033\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.69437 | − | 2.69437i | 0.126873 | − | 0.126873i | ||||
\(452\) | 26.4157 | + | 24.5468i | 1.24249 | + | 1.15458i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.9602 | − | 12.4936i | −0.608253 | − | 0.586355i | ||||
\(455\) | 2.79090 | − | 20.0170i | 0.130839 | − | 0.938411i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.58027 | + | 8.58027i | 0.401368 | + | 0.401368i | 0.878715 | − | 0.477347i | \(-0.158401\pi\) |
−0.477347 | + | 0.878715i | \(0.658401\pi\) | |||||||
\(458\) | 36.7895 | − | 0.674367i | 1.71906 | − | 0.0315111i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 28.1554 | + | 2.87834i | 1.31275 | + | 0.134203i | ||||
\(461\) | −27.2381 | − | 27.2381i | −1.26861 | − | 1.26861i | −0.946809 | − | 0.321797i | \(-0.895713\pi\) |
−0.321797 | − | 0.946809i | \(-0.604287\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.5504 | − | 20.5504i | −0.955059 | − | 0.955059i | 0.0439739 | − | 0.999033i | \(-0.485998\pi\) |
−0.999033 | + | 0.0439739i | \(0.985998\pi\) | |||||||
\(464\) | 9.37422 | − | 10.8603i | 0.435187 | − | 0.504179i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.175316 | − | 9.56421i | −0.00812135 | − | 0.443053i | ||||
\(467\) | 7.62383 | 0.352789 | 0.176394 | − | 0.984320i | \(-0.443557\pi\) | ||||
0.176394 | + | 0.984320i | \(0.443557\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.0435 | − | 10.0435i | 0.463767 | − | 0.463767i | ||||
\(470\) | −20.5428 | + | 16.1150i | −0.947569 | + | 0.743330i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.6465 | − | 0.696072i | 0.582104 | − | 0.0320393i | ||||
\(473\) | −3.86479 | − | 3.86479i | −0.177703 | − | 0.177703i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −25.1902 | + | 14.0352i | −1.15580 | + | 0.643979i | ||||
\(476\) | −8.16310 | + | 0.299366i | −0.374155 | + | 0.0137214i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.86462 | + | 9.50948i | 0.451197 | + | 0.434954i | ||||
\(479\) | 17.9717 | 0.821147 | 0.410574 | − | 0.911827i | \(-0.365328\pi\) | ||||
0.410574 | + | 0.911827i | \(0.365328\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.90748 | −0.451742 | ||||||||
\(482\) | −6.88197 | − | 6.63422i | −0.313465 | − | 0.302180i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.4614 | + | 0.713712i | −0.884610 | + | 0.0324414i | ||||
\(485\) | 8.73535 | + | 1.21794i | 0.396652 | + | 0.0553038i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.4087 | + | 19.4087i | 0.879492 | + | 0.879492i | 0.993482 | − | 0.113990i | \(-0.0363633\pi\) |
−0.113990 | + | 0.993482i | \(0.536363\pi\) | |||||||
\(488\) | −0.547251 | − | 9.94268i | −0.0247729 | − | 0.450084i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 55.8842 | + | 6.75010i | 2.52459 | + | 0.304938i | ||||
\(491\) | −0.388463 | + | 0.388463i | −0.0175311 | + | 0.0175311i | −0.715818 | − | 0.698287i | \(-0.753946\pi\) |
0.698287 | + | 0.715818i | \(0.253946\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.94153 | −0.132480 | ||||||||
\(494\) | 0.271299 | + | 14.8005i | 0.0122063 | + | 0.665904i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 32.0837 | − | 2.35639i | 1.44060 | − | 0.105805i | ||||
\(497\) | −25.7440 | − | 25.7440i | −1.15478 | − | 1.15478i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.5827 | + | 15.5827i | 0.697577 | + | 0.697577i | 0.963887 | − | 0.266310i | \(-0.0858045\pi\) |
−0.266310 | + | 0.963887i | \(0.585805\pi\) | |||||||
\(500\) | −8.84042 | − | 20.5389i | −0.395355 | − | 0.918528i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −22.0235 | + | 0.403700i | −0.982957 | + | 0.0180180i | ||||
\(503\) | −10.5169 | − | 10.5169i | −0.468927 | − | 0.468927i | 0.432640 | − | 0.901567i | \(-0.357582\pi\) |
−0.901567 | + | 0.432640i | \(0.857582\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −33.0549 | − | 4.60873i | −1.47092 | − | 0.205086i | ||||
\(506\) | 7.24066 | + | 6.97999i | 0.321886 | + | 0.310298i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 19.4221 | + | 18.0480i | 0.861718 | + | 0.800750i | ||||
\(509\) | −5.82377 | + | 5.82377i | −0.258134 | + | 0.258134i | −0.824295 | − | 0.566161i | \(-0.808428\pi\) |
0.566161 | + | 0.824295i | \(0.308428\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 71.5644 | 3.16582 | ||||||||
\(512\) | −18.4101 | − | 13.1555i | −0.813621 | − | 0.581396i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.157599 | + | 8.59769i | 0.00695140 | + | 0.379228i | ||||
\(515\) | 6.64244 | + | 0.926132i | 0.292701 | + | 0.0408103i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.27801 | −0.408046 | ||||||||
\(518\) | −0.704603 | − | 38.4390i | −0.0309585 | − | 1.68891i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.4387 | − | 0.957913i | −0.501620 | − | 0.0420073i | ||||
\(521\) | −8.44184 | −0.369844 | −0.184922 | − | 0.982753i | \(-0.559203\pi\) | ||||
−0.184922 | + | 0.982753i | \(0.559203\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.7627i | 0.951616i | 0.879549 | + | 0.475808i | \(0.157844\pi\) | ||||
−0.879549 | + | 0.475808i | \(0.842156\pi\) | |||||||
\(524\) | −1.70551 | + | 1.83536i | −0.0745054 | + | 0.0801781i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.741700 | + | 40.4628i | 0.0323396 | + | 1.76426i | ||||
\(527\) | −4.66405 | − | 4.66405i | −0.203169 | − | 0.203169i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.0506i | 0.741330i | ||||||||
\(530\) | 2.92615 | − | 24.2257i | 0.127104 | − | 1.05230i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −57.4035 | + | 2.10517i | −2.48876 | + | 0.0912705i | ||||
\(533\) | −6.15430 | −0.266572 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.93296 | + | 5.23625i | −0.299738 | + | 0.226383i | ||||
\(536\) | −6.00915 | − | 5.38216i | −0.259556 | − | 0.232474i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −45.2107 | + | 0.828730i | −1.94917 | + | 0.0357291i | ||||
\(539\) | 14.1441 | + | 14.1441i | 0.609231 | + | 0.609231i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.65146 | + | 2.65146i | −0.113995 | + | 0.113995i | −0.761803 | − | 0.647808i | \(-0.775686\pi\) |
0.647808 | + | 0.761803i | \(0.275686\pi\) | |||||||
\(542\) | −0.847753 | − | 0.817233i | −0.0364141 | − | 0.0351032i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.424567 | + | 4.61992i | 0.0182032 | + | 0.198078i | ||||
\(545\) | −5.44286 | + | 39.0375i | −0.233146 | + | 1.67218i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 10.2297i | − | 0.437388i | −0.975793 | − | 0.218694i | \(-0.929820\pi\) | ||
0.975793 | − | 0.218694i | \(-0.0701797\pi\) | |||||||
\(548\) | 4.13417 | + | 3.84167i | 0.176603 | + | 0.164108i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.03305 | − | 7.68140i | 0.0866894 | − | 0.327536i | ||||
\(551\) | −20.6850 | −0.881212 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 33.4634 | − | 33.4634i | 1.42301 | − | 1.42301i | ||||
\(554\) | −25.2974 | − | 24.3866i | −1.07478 | − | 1.03609i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.05755 | + | 8.41671i | 0.384126 | + | 0.356948i | ||||
\(557\) | −40.1061 | −1.69935 | −0.849676 | − | 0.527306i | \(-0.823202\pi\) | ||||
−0.849676 | + | 0.527306i | \(0.823202\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.82769i | 0.373372i | ||||||||
\(560\) | 2.90301 | − | 44.4479i | 0.122675 | − | 1.87827i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.6837 | − | 11.2631i | −0.492849 | − | 0.475106i | ||||
\(563\) | − | 40.1102i | − | 1.69044i | −0.534417 | − | 0.845221i | \(-0.679469\pi\) | ||
0.534417 | − | 0.845221i | \(-0.320531\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 39.9302 | + | 5.56733i | 1.67988 | + | 0.234219i | ||||
\(566\) | −5.09613 | + | 5.28645i | −0.214206 | + | 0.222206i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.7958 | + | 15.4029i | −0.578859 | + | 0.646292i | ||||
\(569\) | − | 4.26260i | − | 0.178698i | −0.996000 | − | 0.0893488i | \(-0.971521\pi\) | ||
0.996000 | − | 0.0893488i | \(-0.0284786\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.00161 | − | 1.00161i | −0.0419161 | − | 0.0419161i | 0.685838 | − | 0.727754i | \(-0.259436\pi\) |
−0.727754 | + | 0.685838i | \(0.759436\pi\) | |||||||
\(572\) | −2.98804 | − | 2.77663i | −0.124936 | − | 0.116097i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.437683 | − | 23.8774i | −0.0182685 | − | 0.996625i | ||||
\(575\) | 27.6418 | − | 15.4012i | 1.15274 | − | 0.642273i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.57536 | + | 3.57536i | −0.148844 | + | 0.148844i | −0.777602 | − | 0.628757i | \(-0.783564\pi\) |
0.628757 | + | 0.777602i | \(0.283564\pi\) | |||||||
\(578\) | −16.0254 | + | 16.6239i | −0.666569 | + | 0.691462i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.63127 | − | 15.9568i | 0.0677347 | − | 0.662568i | ||||
\(581\) | −38.1175 | + | 38.1175i | −1.58138 | + | 1.58138i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.13146 | − | 6.13146i | 0.253939 | − | 0.253939i | ||||
\(584\) | −2.23376 | − | 40.5839i | −0.0924337 | − | 1.67938i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.3852 | − | 16.7593i | −0.718175 | − | 0.692320i | ||||
\(587\) | 31.4094i | 1.29640i | 0.761468 | + | 0.648202i | \(0.224479\pi\) | ||||
−0.761468 | + | 0.648202i | \(0.775521\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −32.7979 | − | 32.7979i | −1.35142 | − | 1.35142i | ||||
\(590\) | 11.1416 | − | 8.74011i | 0.458691 | − | 0.359825i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −21.7767 | + | 1.59939i | −0.895015 | + | 0.0657344i | ||||
\(593\) | 0.711706 | − | 0.711706i | 0.0292263 | − | 0.0292263i | −0.692343 | − | 0.721569i | \(-0.743421\pi\) |
0.721569 | + | 0.692343i | \(0.243421\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −7.28773 | + | 5.50420i | −0.298768 | + | 0.225650i | ||||
\(596\) | 11.7912 | − | 12.6890i | 0.482987 | − | 0.519761i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.297703 | − | 16.2409i | −0.0121740 | − | 0.664140i | ||||
\(599\) | 22.7143i | 0.928081i | 0.885814 | + | 0.464041i | \(0.153601\pi\) | ||||
−0.885814 | + | 0.464041i | \(0.846399\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.66757i | 0.108812i | 0.998519 | + | 0.0544062i | \(0.0173266\pi\) | ||||
−0.998519 | + | 0.0544062i | \(0.982673\pi\) | |||||||
\(602\) | −34.2496 | + | 0.627810i | −1.39591 | + | 0.0255876i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.9495 | + | 0.438225i | −0.486217 | + | 0.0178311i | ||||
\(605\) | −17.3745 | + | 13.1224i | −0.706373 | + | 0.533502i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.7506 | + | 19.7506i | −0.801653 | + | 0.801653i | −0.983354 | − | 0.181701i | \(-0.941840\pi\) |
0.181701 | + | 0.983354i | \(0.441840\pi\) | |||||||
\(608\) | 2.98559 | + | 32.4876i | 0.121082 | + | 1.31755i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.87146 | − | 8.75948i | −0.278217 | − | 0.354661i | ||||
\(611\) | 10.5961 | + | 10.5961i | 0.428672 | + | 0.428672i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 37.6286i | − | 1.51981i | −0.650037 | − | 0.759903i | \(-0.725247\pi\) | ||
0.650037 | − | 0.759903i | \(-0.274753\pi\) | |||||||
\(614\) | −14.5646 | + | 15.1085i | −0.587779 | + | 0.609730i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.5603 | − | 11.7905i | 0.425485 | − | 0.475051i | ||||
\(617\) | −7.68313 | + | 7.68313i | −0.309311 | + | 0.309311i | −0.844642 | − | 0.535331i | \(-0.820187\pi\) |
0.535331 | + | 0.844642i | \(0.320187\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.363070 | + | 0.363070i | −0.0145930 | + | 0.0145930i | −0.714366 | − | 0.699773i | \(-0.753285\pi\) |
0.699773 | + | 0.714366i | \(0.253285\pi\) | |||||||
\(620\) | 27.8873 | − | 22.7143i | 1.11998 | − | 0.912228i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.9587 | + | 11.5282i | 0.479499 | + | 0.462237i | ||||
\(623\) | −31.1270 | + | 31.1270i | −1.24708 | + | 1.24708i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.2589 | − | 13.1552i | −0.850357 | − | 0.526207i | ||||
\(626\) | −13.3997 | + | 0.245622i | −0.535561 | + | 0.00981705i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 37.7504 | − | 1.38443i | 1.50640 | − | 0.0552446i | ||||
\(629\) | 3.16570 | + | 3.16570i | 0.126225 | + | 0.126225i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 38.2533i | − | 1.52284i | −0.648260 | − | 0.761419i | \(-0.724503\pi\) | ||
0.648260 | − | 0.761419i | \(-0.275497\pi\) | |||||||
\(632\) | −20.0215 | − | 17.9325i | −0.796412 | − | 0.713316i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −19.0326 | − | 18.3474i | −0.755881 | − | 0.728669i | ||||
\(635\) | 29.3587 | + | 4.09337i | 1.16506 | + | 0.162441i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 32.3071i | − | 1.28005i | ||||||
\(638\) | 3.95583 | − | 4.10356i | 0.156613 | − | 0.162461i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −25.2969 | − | 0.258919i | −0.999948 | − | 0.0102347i | ||||
\(641\) | − | 8.83990i | − | 0.349155i | −0.984643 | − | 0.174577i | \(-0.944144\pi\) | ||
0.984643 | − | 0.174577i | \(-0.0558560\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.2140 | 0.678853 | 0.339427 | − | 0.940633i | \(-0.389767\pi\) | ||||
0.339427 | + | 0.940633i | \(0.389767\pi\) | |||||||
\(644\) | 62.9903 | − | 2.31005i | 2.48216 | − | 0.0910288i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.64245 | − | 4.81583i | 0.182655 | − | 0.189476i | ||||
\(647\) | −5.49908 | + | 5.49908i | −0.216191 | + | 0.216191i | −0.806891 | − | 0.590700i | \(-0.798852\pi\) |
0.590700 | + | 0.806891i | \(0.298852\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.03200 | 0.197523 | ||||||||
\(650\) | −11.0945 | + | 6.45080i | −0.435164 | + | 0.253021i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.06652 | − | 29.0818i | −0.0417682 | − | 1.13893i | ||||
\(653\) | 43.6753i | 1.70914i | 0.519332 | + | 0.854572i | \(0.326181\pi\) | ||||
−0.519332 | + | 0.854572i | \(0.673819\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.386817 | + | 2.77435i | −0.0151142 | + | 0.108403i | ||||
\(656\) | −13.5272 | + | 0.993503i | −0.528147 | + | 0.0387898i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −40.3571 | + | 41.8643i | −1.57328 | + | 1.63204i | ||||
\(659\) | 12.1428 | − | 12.1428i | 0.473018 | − | 0.473018i | −0.429872 | − | 0.902890i | \(-0.641441\pi\) |
0.902890 | + | 0.429872i | \(0.141441\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.7181 | − | 19.7181i | −0.766947 | − | 0.766947i | 0.210621 | − | 0.977568i | \(-0.432451\pi\) |
−0.977568 | + | 0.210621i | \(0.932451\pi\) | |||||||
\(662\) | −0.0361099 | − | 1.96994i | −0.00140345 | − | 0.0765641i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.8061 | + | 20.4265i | 0.885047 | + | 0.792703i | ||||
\(665\) | −51.2479 | + | 38.7059i | −1.98731 | + | 1.50095i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 22.6982 | 0.878878 | ||||||||
\(668\) | −32.4423 | − | 30.1469i | −1.25523 | − | 1.16642i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −8.95417 | − | 1.08155i | −0.345930 | − | 0.0417839i | ||||
\(671\) | − | 3.95615i | − | 0.152726i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.49777 | − | 7.49777i | −0.289018 | − | 0.289018i | 0.547674 | − | 0.836692i | \(-0.315513\pi\) |
−0.836692 | + | 0.547674i | \(0.815513\pi\) | |||||||
\(674\) | 24.5423 | − | 0.449871i | 0.945335 | − | 0.0173284i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.711418 | − | 19.3989i | −0.0273622 | − | 0.746111i | ||||
\(677\) | − | 9.66092i | − | 0.371299i | −0.982616 | − | 0.185650i | \(-0.940561\pi\) | ||
0.982616 | − | 0.185650i | \(-0.0594389\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 19.6430 | 0.753828 | ||||||||
\(680\) | 3.34889 | + | 3.96105i | 0.128424 | + | 0.151899i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.7789 | − | 0.234242i | 0.489328 | − | 0.00896958i | ||||
\(683\) | −13.1017 | −0.501323 | −0.250662 | − | 0.968075i | \(-0.580648\pi\) | ||||
−0.250662 | + | 0.968075i | \(0.580648\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.24925 | + | 0.871310i | 0.238771 | + | 0.0332911i | ||||
\(686\) | 76.0536 | − | 1.39409i | 2.90374 | − | 0.0532267i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.42507 | + | 19.4033i | 0.0543305 | + | 0.739743i | ||||
\(689\) | −14.0051 | −0.533550 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.80979 | + | 4.80979i | −0.182973 | + | 0.182973i | −0.792650 | − | 0.609677i | \(-0.791299\pi\) |
0.609677 | + | 0.792650i | \(0.291299\pi\) | |||||||
\(692\) | −14.2048 | + | 0.520936i | −0.539987 | + | 0.0198030i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.34122 | + | 9.69007i | −0.354588 | + | 0.367830i | ||||
\(695\) | 13.6915 | + | 1.90895i | 0.519347 | + | 0.0724107i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.96646 | + | 1.96646i | 0.0744851 | + | 0.0744851i | ||||
\(698\) | 0.239808 | + | 13.0825i | 0.00907686 | + | 0.495180i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −25.8168 | − | 42.5858i | −0.975783 | − | 1.60959i | ||||
\(701\) | 6.13442 | + | 6.13442i | 0.231694 | + | 0.231694i | 0.813399 | − | 0.581706i | \(-0.197614\pi\) |
−0.581706 | + | 0.813399i | \(0.697614\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.2615 | + | 22.2615i | 0.839607 | + | 0.839607i | ||||
\(704\) | −7.01596 | − | 5.62068i | −0.264424 | − | 0.211837i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 19.5706 | − | 0.358738i | 0.736550 | − | 0.0135013i | ||||
\(707\) | −74.3297 | −2.79546 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.7679 | + | 27.7679i | −1.04285 | + | 1.04285i | −0.0438050 | + | 0.999040i | \(0.513948\pi\) |
−0.999040 | + | 0.0438050i | \(0.986052\pi\) | |||||||
\(710\) | −2.77228 | + | 22.9517i | −0.104042 | + | 0.861363i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.6236 | + | 16.6805i | 0.697949 | + | 0.625127i | ||||
\(713\) | 35.9900 | + | 35.9900i | 1.34783 | + | 1.34783i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.51675 | − | 0.629754i | −0.168917 | − | 0.0235515i | ||||
\(716\) | 32.5150 | + | 30.2145i | 1.21514 | + | 1.12917i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.59642 | − | 2.69339i | 0.0968976 | − | 0.100516i | ||||
\(719\) | −1.11652 | −0.0416391 | −0.0208195 | − | 0.999783i | \(-0.506628\pi\) | ||||
−0.0208195 | + | 0.999783i | \(0.506628\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.9367 | 0.556271 | ||||||||
\(722\) | 13.9975 | − | 14.5202i | 0.520933 | − | 0.540387i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.6316 | + | 13.5933i | −0.469449 | + | 0.505192i | ||||
\(725\) | −8.72844 | − | 15.6657i | −0.324166 | − | 0.581808i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.7799 | + | 22.7799i | 0.844859 | + | 0.844859i | 0.989486 | − | 0.144627i | \(-0.0461983\pi\) |
−0.144627 | + | 0.989486i | \(0.546198\pi\) | |||||||
\(728\) | −25.5260 | + | 1.40497i | −0.946057 | + | 0.0520715i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −28.0479 | − | 35.7544i | −1.03810 | − | 1.32333i | ||||
\(731\) | 2.82068 | − | 2.82068i | 0.104327 | − | 0.104327i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.3681 | 0.530699 | 0.265350 | − | 0.964152i | \(-0.414513\pi\) | ||||
0.265350 | + | 0.964152i | \(0.414513\pi\) | |||||||
\(734\) | −12.0779 | + | 0.221393i | −0.445803 | + | 0.00817175i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.27616 | − | 35.6495i | −0.120761 | − | 1.31406i | ||||
\(737\) | −2.26628 | − | 2.26628i | −0.0834795 | − | 0.0834795i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.18646 | − | 2.18646i | −0.0804301 | − | 0.0804301i | 0.665747 | − | 0.746177i | \(-0.268113\pi\) |
−0.746177 | + | 0.665747i | \(0.768113\pi\) | |||||||
\(740\) | −18.9284 | + | 15.4172i | −0.695822 | + | 0.566749i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.996015 | − | 54.3368i | −0.0365649 | − | 1.99477i | ||||
\(743\) | 28.0875 | + | 28.0875i | 1.03043 | + | 1.03043i | 0.999522 | + | 0.0309076i | \(0.00983975\pi\) |
0.0309076 | + | 0.999522i | \(0.490160\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.67430 | − | 19.1808i | 0.0979790 | − | 0.702729i | ||||
\(746\) | −14.4878 | + | 15.0289i | −0.530438 | + | 0.550247i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0675507 | + | 1.84197i | 0.00246990 | + | 0.0673490i | ||||
\(749\) | −13.6823 | + | 13.6823i | −0.499940 | + | 0.499940i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.9304 | 0.581307 | 0.290654 | − | 0.956828i | \(-0.406127\pi\) | ||||
0.290654 | + | 0.956828i | \(0.406127\pi\) | |||||||
\(752\) | 25.0008 | + | 21.5797i | 0.911684 | + | 0.786930i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.20435 | + | 0.168720i | −0.335203 | + | 0.00614440i | ||||
\(755\) | −10.6681 | + | 8.05727i | −0.388251 | + | 0.293234i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.2691 | −1.35457 | −0.677285 | − | 0.735721i | \(-0.736844\pi\) | ||||
−0.677285 | + | 0.735721i | \(0.736844\pi\) | |||||||
\(758\) | 31.0618 | − | 0.569375i | 1.12821 | − | 0.0206806i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 23.5496 | + | 27.8544i | 0.854235 | + | 1.01038i | ||||
\(761\) | 17.3081 | 0.627419 | 0.313709 | − | 0.949519i | \(-0.398428\pi\) | ||||
0.313709 | + | 0.949519i | \(0.398428\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 87.7826i | 3.17794i | ||||||||
\(764\) | 40.8921 | − | 1.49964i | 1.47943 | − | 0.0542552i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −19.2296 | + | 0.352487i | −0.694794 | + | 0.0127359i | ||||
\(767\) | −5.74688 | − | 5.74688i | −0.207508 | − | 0.207508i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 24.2688i | − | 0.875155i | −0.899181 | − | 0.437577i | \(-0.855837\pi\) | ||
0.899181 | − | 0.437577i | \(-0.144163\pi\) | |||||||
\(770\) | 2.12210 | − | 17.5689i | 0.0764750 | − | 0.633138i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 30.3585 | − | 32.6699i | 1.09263 | − | 1.17582i | ||||
\(773\) | −13.0667 | −0.469977 | −0.234989 | − | 0.971998i | \(-0.575505\pi\) | ||||
−0.234989 | + | 0.971998i | \(0.575505\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.9996 | − | 38.6790i | 0.395116 | − | 1.38939i | ||||
\(776\) | −0.613122 | − | 11.1395i | −0.0220098 | − | 0.399883i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.101682 | − | 5.54717i | −0.00364547 | − | 0.198876i | ||||
\(779\) | 13.8283 | + | 13.8283i | 0.495450 | + | 0.495450i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.80902 | + | 5.80902i | −0.207863 | + | 0.207863i | ||||
\(782\) | −5.09428 | + | 5.28453i | −0.182171 | + | 0.188974i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.21541 | − | 71.0110i | −0.186265 | − | 2.53611i | ||||
\(785\) | 33.7022 | − | 25.4543i | 1.20288 | − | 0.908501i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 19.0159i | − | 0.677844i | −0.940814 | − | 0.338922i | \(-0.889938\pi\) | ||
0.940814 | − | 0.338922i | \(-0.110062\pi\) | |||||||
\(788\) | −9.38368 | + | 0.344129i | −0.334280 | + | 0.0122591i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −29.8338 | − | 3.60355i | −1.06144 | − | 0.128208i | ||||
\(791\) | 89.7900 | 3.19257 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.51819 | + | 4.51819i | −0.160446 | + | 0.160446i | ||||
\(794\) | 25.5783 | − | 26.5335i | 0.907739 | − | 0.941638i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.345949 | + | 9.43331i | 0.0122618 | + | 0.334355i | ||||
\(797\) | 19.8027 | 0.701447 | 0.350723 | − | 0.936479i | \(-0.385936\pi\) | ||||
0.350723 | + | 0.936479i | \(0.385936\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 6.77147i | − | 0.239557i | ||||||
\(800\) | −23.3444 | + | 15.9699i | −0.825351 | + | 0.564620i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.38975 | − | 2.47900i | 0.0843851 | − | 0.0875365i | ||||
\(803\) | − | 16.1482i | − | 0.569857i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 56.2355 | − | 42.4730i | 1.98204 | − | 1.49697i | ||||
\(806\) | −14.8618 | − | 14.3268i | −0.523485 | − | 0.504639i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.32008 | + | 42.1522i | 0.0816201 | + | 1.48291i | ||||
\(809\) | − | 43.2999i | − | 1.52234i | −0.648550 | − | 0.761172i | \(-0.724624\pi\) | ||
0.648550 | − | 0.761172i | \(-0.275376\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −36.4064 | − | 36.4064i | −1.27840 | − | 1.27840i | −0.941563 | − | 0.336837i | \(-0.890643\pi\) |
−0.336837 | − | 0.941563i | \(-0.609357\pi\) | |||||||
\(812\) | −1.30919 | − | 35.6990i | −0.0459437 | − | 1.25279i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.67360 | + | 0.158991i | −0.304009 | + | 0.00557262i | ||||
\(815\) | −19.6092 | − | 25.9633i | −0.686882 | − | 0.909453i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 19.8352 | − | 19.8352i | 0.693947 | − | 0.693947i | ||||
\(818\) | −12.2021 | − | 11.7629i | −0.426638 | − | 0.411279i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.7579 | + | 9.57683i | −0.410603 | + | 0.334437i | ||||
\(821\) | 2.11395 | − | 2.11395i | 0.0737773 | − | 0.0737773i | −0.669255 | − | 0.743033i | \(-0.733387\pi\) |
0.743033 | + | 0.669255i | \(0.233387\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.790237 | − | 0.790237i | 0.0275459 | − | 0.0275459i | −0.693200 | − | 0.720746i | \(-0.743800\pi\) |
0.720746 | + | 0.693200i | \(0.243800\pi\) | |||||||
\(824\) | −0.466224 | − | 8.47055i | −0.0162417 | − | 0.295086i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 21.8880 | − | 22.7054i | 0.761582 | − | 0.790023i | ||||
\(827\) | − | 19.8813i | − | 0.691342i | −0.938356 | − | 0.345671i | \(-0.887651\pi\) | ||
0.938356 | − | 0.345671i | \(-0.112349\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29.8495 | + | 29.8495i | 1.03671 | + | 1.03671i | 0.999300 | + | 0.0374151i | \(0.0119124\pi\) |
0.0374151 | + | 0.999300i | \(0.488088\pi\) | |||||||
\(830\) | 33.9831 | + | 4.10473i | 1.17957 | + | 0.142477i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.59350 | + | 14.4319i | 0.0552448 | + | 0.500335i | ||||
\(833\) | −10.3230 | + | 10.3230i | −0.357670 | + | 0.357670i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −49.0400 | − | 6.83747i | −1.69710 | − | 0.236621i | ||||
\(836\) | 0.475022 | + | 12.9528i | 0.0164290 | + | 0.447984i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 45.8089 | − | 0.839697i | 1.58244 | − | 0.0290068i | ||||
\(839\) | 38.6066i | 1.33285i | 0.745573 | + | 0.666424i | \(0.232176\pi\) | ||||
−0.745573 | + | 0.666424i | \(0.767824\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 16.1361i | 0.556416i | ||||||||
\(842\) | 0.255903 | + | 13.9605i | 0.00881898 | + | 0.481112i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.6118 | + | 17.2950i | 0.640645 | + | 0.595319i | ||||
\(845\) | −13.0802 | − | 17.3187i | −0.449974 | − | 0.595780i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −34.2888 | + | 34.2888i | −1.17818 | + | 1.17818i | ||||
\(848\) | −30.7831 | + | 2.26087i | −1.05710 | + | 0.0776386i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.60620 | + | 1.48380i | 0.192291 | + | 0.0508939i | ||||
\(851\) | −24.4281 | − | 24.4281i | −0.837383 | − | 0.837383i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.72965i | 0.230419i | 0.993341 | + | 0.115209i | \(0.0367539\pi\) | ||||
−0.993341 | + | 0.115209i | \(0.963246\pi\) | |||||||
\(854\) | −17.8510 | − | 17.2083i | −0.610848 | − | 0.588857i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.18626 | + | 7.33212i | 0.279800 | + | 0.250607i | ||||
\(857\) | 14.8406 | − | 14.8406i | 0.506945 | − | 0.506945i | −0.406642 | − | 0.913588i | \(-0.633300\pi\) |
0.913588 | + | 0.406642i | \(0.133300\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.20839 | + | 7.20839i | −0.245947 | + | 0.245947i | −0.819305 | − | 0.573358i | \(-0.805640\pi\) |
0.573358 | + | 0.819305i | \(0.305640\pi\) | |||||||
\(860\) | 13.7370 | + | 16.8655i | 0.468426 | + | 0.575107i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −17.9034 | + | 18.5720i | −0.609793 | + | 0.632566i | ||||
\(863\) | −28.9476 | + | 28.9476i | −0.985388 | + | 0.985388i | −0.999895 | − | 0.0145070i | \(-0.995382\pi\) |
0.0145070 | + | 0.999895i | \(0.495382\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.6816 | + | 9.57801i | −0.431187 | + | 0.325662i | ||||
\(866\) | 0.424889 | + | 23.1795i | 0.0144383 | + | 0.787671i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 54.5280 | − | 58.6797i | 1.85080 | − | 1.99172i | ||||
\(869\) | −7.55087 | − | 7.55087i | −0.256146 | − | 0.256146i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.17648i | 0.175398i | ||||||||
\(872\) | 49.7812 | − | 2.73999i | 1.68581 | − | 0.0927877i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −35.8233 | + | 37.1612i | −1.21174 | + | 1.25700i | ||||
\(875\) | −50.9386 | − | 22.4795i | −1.72204 | − | 0.759946i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 26.1006i | 0.881355i | 0.897666 | + | 0.440677i | \(0.145262\pi\) | ||||
−0.897666 | + | 0.440677i | \(0.854738\pi\) | |||||||
\(878\) | −1.17999 | − | 1.13751i | −0.0398228 | − | 0.0383891i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −10.0295 | − | 0.655051i | −0.338094 | − | 0.0220818i | ||||
\(881\) | 52.3645i | 1.76421i | 0.471057 | + | 0.882103i | \(0.343873\pi\) | ||||
−0.471057 | + | 0.882103i | \(0.656127\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 47.1364 | 1.58627 | 0.793134 | − | 0.609047i | \(-0.208448\pi\) | ||||
0.793134 | + | 0.609047i | \(0.208448\pi\) | |||||||
\(884\) | 2.02650 | − | 2.18080i | 0.0681586 | − | 0.0733481i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.27502 | − | 7.97711i | −0.278005 | − | 0.267996i | ||||
\(887\) | −39.2668 | + | 39.2668i | −1.31845 | + | 1.31845i | −0.403444 | + | 0.915004i | \(0.632187\pi\) |
−0.915004 | + | 0.403444i | \(0.867813\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 66.0181 | 2.21417 | ||||||||
\(890\) | 27.7509 | + | 3.35195i | 0.930211 | + | 0.112358i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.52446 | − | 7.02122i | 0.218455 | − | 0.235088i | ||||
\(893\) | − | 47.6175i | − | 1.59346i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 49.1500 | + | 6.85280i | 1.64290 | + | 0.229064i | ||||
\(896\) | −55.8794 | + | 7.20884i | −1.86680 | + | 0.240830i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.32597 | − | 4.17023i | −0.144360 | − | 0.139163i | ||||
\(899\) | 20.3969 | − | 20.3969i | 0.680275 | − | 0.680275i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.47499 | + | 4.47499i | 0.149083 | + | 0.149083i | ||||
\(902\) | −5.38784 | + | 0.0987613i | −0.179395 | + | 0.00328839i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.80265 | − | 50.9197i | −0.0932146 | − | 1.69356i | ||||
\(905\) | −2.86490 | + | 20.5478i | −0.0952326 | + | 0.683031i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.853198 | 0.0283300 | 0.0141650 | − | 0.999900i | \(-0.495491\pi\) | ||||
0.0141650 | + | 0.999900i | \(0.495491\pi\) | |||||||
\(908\) | 0.933002 | + | 25.4410i | 0.0309628 | + | 0.844290i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.4884 | + | 17.6412i | −0.745482 | + | 0.584801i | ||||
\(911\) | 0.383383i | 0.0127020i | 0.999980 | + | 0.00635102i | \(0.00202161\pi\) | ||||
−0.999980 | + | 0.00635102i | \(0.997978\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.60104 | + | 8.60104i | 0.284653 | + | 0.284653i | ||||
\(914\) | −0.314507 | − | 17.1577i | −0.0104030 | − | 0.567525i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −38.1195 | − | 35.4224i | −1.25950 | − | 1.17039i | ||||
\(917\) | 6.23860i | 0.206017i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.4070 | −0.673165 | −0.336582 | − | 0.941654i | \(-0.609271\pi\) | ||||
−0.336582 | + | 0.941654i | \(0.609271\pi\) | |||||||
\(920\) | −25.8416 | − | 30.5653i | −0.851972 | − | 1.00771i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.998404 | + | 54.4671i | 0.0328807 | + | 1.79378i | ||||
\(923\) | 13.2686 | 0.436741 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.46592 | + | 26.2532i | −0.245478 | + | 0.863200i | ||||
\(926\) | 0.753269 | + | 41.0939i | 0.0247539 | + | 1.35043i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −20.2039 | + | 1.85673i | −0.663227 | + | 0.0609500i | ||||
\(929\) | 5.66448 | 0.185846 | 0.0929228 | − | 0.995673i | \(-0.470379\pi\) | ||||
0.0929228 | + | 0.995673i | \(0.470379\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −72.5919 | + | 72.5919i | −2.37910 | + | 2.37910i | ||||
\(932\) | −9.20882 | + | 9.90996i | −0.301645 | + | 0.324612i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.76227 | − | 7.48282i | −0.253989 | − | 0.244845i | ||||
\(935\) | 1.24200 | + | 1.64444i | 0.0406177 | + | 0.0537791i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4.52855 | − | 4.52855i | −0.147941 | − | 0.147941i | 0.629256 | − | 0.777198i | \(-0.283360\pi\) |
−0.777198 | + | 0.629256i | \(0.783360\pi\) | |||||||
\(938\) | −20.0837 | + | 0.368142i | −0.655756 | + | 0.0120203i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 36.7328 | + | 3.75522i | 1.19809 | + | 0.122482i | ||||
\(941\) | 33.1033 | + | 33.1033i | 1.07914 | + | 1.07914i | 0.996587 | + | 0.0825482i | \(0.0263058\pi\) |
0.0825482 | + | 0.996587i | \(0.473694\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −15.1741 | − | 15.1741i | −0.494138 | − | 0.494138i | ||||
\(944\) | −13.5594 | − | 11.7039i | −0.441320 | − | 0.380930i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.141663 | + | 7.72828i | 0.00460585 | + | 0.251268i | ||||
\(947\) | −42.2938 | −1.37436 | −0.687182 | − | 0.726486i | \(-0.741152\pi\) | ||||
−0.687182 | + | 0.726486i | \(0.741152\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.4423 | + | 18.4423i | −0.598662 | + | 0.598662i | ||||
\(950\) | 39.4232 | + | 10.4342i | 1.27906 | + | 0.338530i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.60516 | + | 7.70731i | 0.278895 | + | 0.249796i | ||||
\(953\) | −7.70327 | − | 7.70327i | −0.249533 | − | 0.249533i | 0.571246 | − | 0.820779i | \(-0.306460\pi\) |
−0.820779 | + | 0.571246i | \(0.806460\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 36.5071 | − | 27.5727i | 1.18134 | − | 0.892231i | ||||
\(956\) | −0.710151 | − | 19.3643i | −0.0229679 | − | 0.626287i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.2980 | − | 17.6393i | −0.591183 | − | 0.569900i | ||||
\(959\) | 14.0525 | 0.453780 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 33.6821 | 1.08652 | ||||||||
\(962\) | 10.0874 | + | 9.72424i | 0.325231 | + | 0.313522i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.495431 | + | 13.5094i | 0.0159568 | + | 0.435108i | ||||
\(965\) | 6.88545 | − | 49.3841i | 0.221651 | − | 1.58973i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.1520 | − | 15.1520i | −0.487255 | − | 0.487255i | 0.420184 | − | 0.907439i | \(-0.361966\pi\) |
−0.907439 | + | 0.420184i | \(0.861966\pi\) | |||||||
\(968\) | 20.5153 | + | 18.3748i | 0.659388 | + | 0.590589i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.69857 | − | 9.81384i | −0.247186 | − | 0.315104i | ||||
\(971\) | −18.9617 | + | 18.9617i | −0.608508 | + | 0.608508i | −0.942556 | − | 0.334048i | \(-0.891585\pi\) |
0.334048 | + | 0.942556i | \(0.391585\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 30.7876 | 0.987007 | ||||||||
\(974\) | −0.711419 | − | 38.8109i | −0.0227953 | − | 1.24358i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.20160 | + | 10.6604i | −0.294536 | + | 0.341230i | ||||
\(977\) | 35.4983 | + | 35.4983i | 1.13569 | + | 1.13569i | 0.989214 | + | 0.146477i | \(0.0467934\pi\) |
0.146477 | + | 0.989214i | \(0.453207\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.02367 | + | 7.02367i | 0.224478 | + | 0.224478i | ||||
\(980\) | −50.2737 | − | 61.7232i | −1.60594 | − | 1.97168i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.776796 | − | 0.0142390i | 0.0247886 | − | 0.000454384i | ||||
\(983\) | 14.4359 | + | 14.4359i | 0.460434 | + | 0.460434i | 0.898798 | − | 0.438364i | \(-0.144442\pi\) |
−0.438364 | + | 0.898798i | \(0.644442\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.37743 | + | 6.32721i | −0.266927 | + | 0.201602i | ||||
\(986\) | 2.99494 | + | 2.88712i | 0.0953785 | + | 0.0919448i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 14.2505 | − | 15.3355i | 0.453369 | − | 0.487888i | ||||
\(989\) | −21.7657 | + | 21.7657i | −0.692109 | + | 0.692109i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.78714 | 0.152069 | 0.0760343 | − | 0.997105i | \(-0.475774\pi\) | ||||
0.0760343 | + | 0.997105i | \(0.475774\pi\) | |||||||
\(992\) | −34.9791 | − | 29.0911i | −1.11059 | − | 0.923643i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.943638 | + | 51.4794i | 0.0299304 | + | 1.63283i | ||||
\(995\) | 6.36068 | + | 8.42174i | 0.201647 | + | 0.266987i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.03678 | 0.0328350 | 0.0164175 | − | 0.999865i | \(-0.494774\pi\) | ||||
0.0164175 | + | 0.999865i | \(0.494774\pi\) | |||||||
\(998\) | −0.571178 | − | 31.1602i | −0.0180803 | − | 0.986357i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 720.2.bg.a.53.11 | yes | 96 | |
3.2 | odd | 2 | inner | 720.2.bg.a.53.38 | yes | 96 | |
4.3 | odd | 2 | 2880.2.bg.a.2033.34 | 96 | |||
5.2 | odd | 4 | 720.2.bc.a.197.35 | yes | 96 | ||
12.11 | even | 2 | 2880.2.bg.a.2033.15 | 96 | |||
15.2 | even | 4 | 720.2.bc.a.197.14 | ✓ | 96 | ||
16.3 | odd | 4 | 2880.2.bc.a.593.39 | 96 | |||
16.13 | even | 4 | 720.2.bc.a.413.14 | yes | 96 | ||
20.7 | even | 4 | 2880.2.bc.a.1457.10 | 96 | |||
48.29 | odd | 4 | 720.2.bc.a.413.35 | yes | 96 | ||
48.35 | even | 4 | 2880.2.bc.a.593.10 | 96 | |||
60.47 | odd | 4 | 2880.2.bc.a.1457.39 | 96 | |||
80.67 | even | 4 | 2880.2.bg.a.17.15 | 96 | |||
80.77 | odd | 4 | inner | 720.2.bg.a.557.38 | yes | 96 | |
240.77 | even | 4 | inner | 720.2.bg.a.557.11 | yes | 96 | |
240.227 | odd | 4 | 2880.2.bg.a.17.34 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
720.2.bc.a.197.14 | ✓ | 96 | 15.2 | even | 4 | ||
720.2.bc.a.197.35 | yes | 96 | 5.2 | odd | 4 | ||
720.2.bc.a.413.14 | yes | 96 | 16.13 | even | 4 | ||
720.2.bc.a.413.35 | yes | 96 | 48.29 | odd | 4 | ||
720.2.bg.a.53.11 | yes | 96 | 1.1 | even | 1 | trivial | |
720.2.bg.a.53.38 | yes | 96 | 3.2 | odd | 2 | inner | |
720.2.bg.a.557.11 | yes | 96 | 240.77 | even | 4 | inner | |
720.2.bg.a.557.38 | yes | 96 | 80.77 | odd | 4 | inner | |
2880.2.bc.a.593.10 | 96 | 48.35 | even | 4 | |||
2880.2.bc.a.593.39 | 96 | 16.3 | odd | 4 | |||
2880.2.bc.a.1457.10 | 96 | 20.7 | even | 4 | |||
2880.2.bc.a.1457.39 | 96 | 60.47 | odd | 4 | |||
2880.2.bg.a.17.15 | 96 | 80.67 | even | 4 | |||
2880.2.bg.a.17.34 | 96 | 240.227 | odd | 4 | |||
2880.2.bg.a.2033.15 | 96 | 12.11 | even | 2 | |||
2880.2.bg.a.2033.34 | 96 | 4.3 | odd | 2 |