Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 108.18 | ||
Character | \(\chi\) | \(=\) | 175.108 |
Dual form | 175.2.x.a.47.18 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.127170 | + | 2.42654i | 0.0899225 | + | 1.71582i | 0.556085 | + | 0.831125i | \(0.312303\pi\) |
−0.466163 | + | 0.884699i | \(0.654364\pi\) | |||||||
\(3\) | −1.78675 | − | 1.44688i | −1.03158 | − | 0.835357i | −0.0450579 | − | 0.998984i | \(-0.514347\pi\) |
−0.986522 | + | 0.163627i | \(0.947681\pi\) | |||||||
\(4\) | −3.88289 | + | 0.408108i | −1.94144 | + | 0.204054i | ||||
\(5\) | −2.07076 | − | 0.843763i | −0.926074 | − | 0.377342i | ||||
\(6\) | 3.28370 | − | 4.51962i | 1.34056 | − | 1.84513i | ||||
\(7\) | 1.54352 | − | 2.14884i | 0.583397 | − | 0.812187i | ||||
\(8\) | −0.723845 | − | 4.57018i | −0.255918 | − | 1.61580i | ||||
\(9\) | 0.475273 | + | 2.23598i | 0.158424 | + | 0.745328i | ||||
\(10\) | 1.78409 | − | 5.13210i | 0.564178 | − | 1.62291i | ||||
\(11\) | −0.0163732 | − | 0.00348022i | −0.00493669 | − | 0.00104933i | 0.205443 | − | 0.978669i | \(-0.434137\pi\) |
−0.210379 | + | 0.977620i | \(0.567470\pi\) | |||||||
\(12\) | 7.52823 | + | 4.88889i | 2.17321 | + | 1.41130i | ||||
\(13\) | −1.39124 | − | 2.73047i | −0.385862 | − | 0.757297i | 0.613616 | − | 0.789605i | \(-0.289714\pi\) |
−0.999478 | + | 0.0323079i | \(0.989714\pi\) | |||||||
\(14\) | 5.41055 | + | 3.47216i | 1.44603 | + | 0.927973i | ||||
\(15\) | 2.47911 | + | 4.50374i | 0.640104 | + | 1.16286i | ||||
\(16\) | 3.35976 | − | 0.714139i | 0.839940 | − | 0.178535i | ||||
\(17\) | −6.59423 | − | 2.53129i | −1.59934 | − | 0.613928i | −0.614734 | − | 0.788735i | \(-0.710737\pi\) |
−0.984603 | + | 0.174807i | \(0.944070\pi\) | |||||||
\(18\) | −5.36527 | + | 1.43762i | −1.26461 | + | 0.338850i | ||||
\(19\) | 0.331948 | − | 3.15828i | 0.0761542 | − | 0.724559i | −0.888113 | − | 0.459626i | \(-0.847984\pi\) |
0.964267 | − | 0.264933i | \(-0.0853498\pi\) | |||||||
\(20\) | 8.38489 | + | 2.43114i | 1.87492 | + | 0.543620i | ||||
\(21\) | −5.86701 | + | 1.60615i | −1.28029 | + | 0.350491i | ||||
\(22\) | 0.00636273 | − | 0.0401727i | 0.00135654 | − | 0.00856485i | ||||
\(23\) | −5.46923 | + | 0.286630i | −1.14041 | + | 0.0597665i | −0.613172 | − | 0.789949i | \(-0.710107\pi\) |
−0.527241 | + | 0.849716i | \(0.676774\pi\) | |||||||
\(24\) | −5.31918 | + | 9.21308i | −1.08577 | + | 1.88061i | ||||
\(25\) | 3.57613 | + | 3.49447i | 0.715226 | + | 0.698894i | ||||
\(26\) | 6.44868 | − | 3.72315i | 1.26469 | − | 0.730169i | ||||
\(27\) | −0.745322 | + | 1.46278i | −0.143437 | + | 0.281512i | ||||
\(28\) | −5.11637 | + | 8.97365i | −0.966903 | + | 1.69586i | ||||
\(29\) | −0.0353871 | − | 0.0487062i | −0.00657122 | − | 0.00904451i | 0.805719 | − | 0.592298i | \(-0.201779\pi\) |
−0.812290 | + | 0.583254i | \(0.801779\pi\) | |||||||
\(30\) | −10.6132 | + | 6.58841i | −1.93771 | + | 1.20287i | ||||
\(31\) | 3.66733 | + | 8.23697i | 0.658673 | + | 1.47940i | 0.865440 | + | 0.501013i | \(0.167039\pi\) |
−0.206767 | + | 0.978390i | \(0.566294\pi\) | |||||||
\(32\) | −0.235039 | − | 0.877177i | −0.0415494 | − | 0.155065i | ||||
\(33\) | 0.0242193 | + | 0.0299083i | 0.00421603 | + | 0.00520637i | ||||
\(34\) | 5.30369 | − | 16.3231i | 0.909576 | − | 2.79939i | ||||
\(35\) | −5.00939 | + | 3.14738i | −0.846741 | + | 0.532005i | ||||
\(36\) | −2.75796 | − | 8.48811i | −0.459659 | − | 1.41469i | ||||
\(37\) | 4.57608 | − | 7.04654i | 0.752302 | − | 1.15844i | −0.230372 | − | 0.973103i | \(-0.573994\pi\) |
0.982674 | − | 0.185341i | \(-0.0593390\pi\) | |||||||
\(38\) | 7.70591 | + | 0.403850i | 1.25006 | + | 0.0655130i | ||||
\(39\) | −1.46486 | + | 6.89163i | −0.234566 | + | 1.10354i | ||||
\(40\) | −2.35724 | + | 10.0745i | −0.372712 | + | 1.59292i | ||||
\(41\) | 5.83738 | + | 1.89668i | 0.911646 | + | 0.296212i | 0.727035 | − | 0.686600i | \(-0.240898\pi\) |
0.184610 | + | 0.982812i | \(0.440898\pi\) | |||||||
\(42\) | −4.64350 | − | 14.0323i | −0.716507 | − | 2.16523i | ||||
\(43\) | −3.18681 | − | 3.18681i | −0.485984 | − | 0.485984i | 0.421052 | − | 0.907036i | \(-0.361661\pi\) |
−0.907036 | + | 0.421052i | \(0.861661\pi\) | |||||||
\(44\) | 0.0649954 | + | 0.00683130i | 0.00979843 | + | 0.00102986i | ||||
\(45\) | 0.902462 | − | 5.03121i | 0.134531 | − | 0.750009i | ||||
\(46\) | −1.39104 | − | 13.2349i | −0.205098 | − | 1.95137i | ||||
\(47\) | 1.64959 | + | 4.29732i | 0.240617 | + | 0.626828i | 0.999708 | − | 0.0241558i | \(-0.00768978\pi\) |
−0.759091 | + | 0.650984i | \(0.774356\pi\) | |||||||
\(48\) | −7.03633 | − | 3.58519i | −1.01561 | − | 0.517477i | ||||
\(49\) | −2.23507 | − | 6.63359i | −0.319295 | − | 0.947655i | ||||
\(50\) | −8.02470 | + | 9.12201i | −1.13486 | + | 1.29005i | ||||
\(51\) | 8.11977 | + | 14.0639i | 1.13700 | + | 1.96933i | ||||
\(52\) | 6.51638 | + | 10.0343i | 0.903659 | + | 1.39151i | ||||
\(53\) | 2.73861 | − | 3.38191i | 0.376178 | − | 0.464541i | −0.553535 | − | 0.832826i | \(-0.686722\pi\) |
0.929713 | + | 0.368285i | \(0.120055\pi\) | |||||||
\(54\) | −3.64427 | − | 1.62253i | −0.495923 | − | 0.220799i | ||||
\(55\) | 0.0309685 | + | 0.0210218i | 0.00417579 | + | 0.00283458i | ||||
\(56\) | −10.9379 | − | 5.49875i | −1.46164 | − | 0.734802i | ||||
\(57\) | −5.16276 | + | 5.16276i | −0.683825 | + | 0.683825i | ||||
\(58\) | 0.113687 | − | 0.0920622i | 0.0149279 | − | 0.0120884i | ||||
\(59\) | 1.67651 | + | 1.86195i | 0.218263 | + | 0.242406i | 0.842326 | − | 0.538968i | \(-0.181186\pi\) |
−0.624063 | + | 0.781374i | \(0.714519\pi\) | |||||||
\(60\) | −11.4641 | − | 16.4758i | −1.48001 | − | 2.12701i | ||||
\(61\) | −9.91649 | − | 8.92884i | −1.26968 | − | 1.14322i | −0.982684 | − | 0.185288i | \(-0.940678\pi\) |
−0.286992 | − | 0.957933i | \(-0.592655\pi\) | |||||||
\(62\) | −19.5210 | + | 9.94643i | −2.47917 | + | 1.26320i | ||||
\(63\) | 5.53838 | + | 2.43001i | 0.697770 | + | 0.306152i | ||||
\(64\) | 8.63203 | − | 2.80472i | 1.07900 | − | 0.350590i | ||||
\(65\) | 0.577069 | + | 6.82804i | 0.0715766 | + | 0.846915i | ||||
\(66\) | −0.0694938 | + | 0.0625725i | −0.00855409 | + | 0.00770214i | ||||
\(67\) | 0.113980 | − | 0.296929i | 0.0139249 | − | 0.0362757i | −0.926442 | − | 0.376438i | \(-0.877149\pi\) |
0.940367 | + | 0.340162i | \(0.110482\pi\) | |||||||
\(68\) | 26.6377 | + | 7.13755i | 3.23030 | + | 0.865556i | ||||
\(69\) | 10.1869 | + | 7.40119i | 1.22635 | + | 0.890999i | ||||
\(70\) | −8.27429 | − | 11.7552i | −0.988967 | − | 1.40502i | ||||
\(71\) | −6.35569 | + | 4.61768i | −0.754282 | + | 0.548018i | −0.897151 | − | 0.441724i | \(-0.854367\pi\) |
0.142869 | + | 0.989742i | \(0.454367\pi\) | |||||||
\(72\) | 9.87482 | − | 3.79059i | 1.16376 | − | 0.446725i | ||||
\(73\) | −2.80391 | + | 1.82088i | −0.328173 | + | 0.213118i | −0.698200 | − | 0.715903i | \(-0.746015\pi\) |
0.370027 | + | 0.929021i | \(0.379349\pi\) | |||||||
\(74\) | 17.6807 | + | 10.2079i | 2.05533 | + | 1.18665i | ||||
\(75\) | −1.33356 | − | 11.4180i | −0.153987 | − | 1.31843i | ||||
\(76\) | 12.3987i | 1.42223i | ||||||||
\(77\) | −0.0327508 | + | 0.0298116i | −0.00373230 | + | 0.00339734i | ||||
\(78\) | −16.9091 | − | 2.67814i | −1.91458 | − | 0.303240i | ||||
\(79\) | 2.17913 | − | 4.89441i | 0.245171 | − | 0.550664i | −0.748481 | − | 0.663156i | \(-0.769217\pi\) |
0.993653 | + | 0.112492i | \(0.0358833\pi\) | |||||||
\(80\) | −7.55984 | − | 1.35603i | −0.845216 | − | 0.151609i | ||||
\(81\) | 9.71309 | − | 4.32455i | 1.07923 | − | 0.480505i | ||||
\(82\) | −3.86003 | + | 14.4058i | −0.426270 | + | 1.59086i | ||||
\(83\) | 8.63403 | − | 1.36750i | 0.947708 | − | 0.150102i | 0.336599 | − | 0.941648i | \(-0.390723\pi\) |
0.611110 | + | 0.791546i | \(0.290723\pi\) | |||||||
\(84\) | 22.1255 | − | 8.63088i | 2.41409 | − | 0.941706i | ||||
\(85\) | 11.5193 | + | 10.8057i | 1.24944 | + | 1.17204i | ||||
\(86\) | 7.32766 | − | 8.13819i | 0.790162 | − | 0.877564i | ||||
\(87\) | −0.00724415 | + | 0.138227i | −0.000776654 | + | 0.0148194i | ||||
\(88\) | −0.00405361 | + | 0.0773474i | −0.000432116 | + | 0.00824526i | ||||
\(89\) | 5.60082 | − | 6.22034i | 0.593686 | − | 0.659355i | −0.369173 | − | 0.929361i | \(-0.620359\pi\) |
0.962859 | + | 0.270006i | \(0.0870257\pi\) | |||||||
\(90\) | 12.3232 | + | 1.55004i | 1.29898 | + | 0.163389i | ||||
\(91\) | −8.01478 | − | 1.22498i | −0.840177 | − | 0.128413i | ||||
\(92\) | 21.1194 | − | 3.34499i | 2.20185 | − | 0.348739i | ||||
\(93\) | 5.36531 | − | 20.0236i | 0.556356 | − | 2.07635i | ||||
\(94\) | −10.2178 | + | 4.54928i | −1.05389 | + | 0.469222i | ||||
\(95\) | −3.35223 | + | 6.25996i | −0.343931 | + | 0.642259i | ||||
\(96\) | −0.849216 | + | 1.90737i | −0.0866727 | + | 0.194670i | ||||
\(97\) | 6.79613 | + | 1.07640i | 0.690043 | + | 0.109292i | 0.491601 | − | 0.870821i | \(-0.336412\pi\) |
0.198442 | + | 0.980113i | \(0.436412\pi\) | |||||||
\(98\) | 15.8124 | − | 6.26707i | 1.59730 | − | 0.633070i | ||||
\(99\) | − | 0.0382642i | − | 0.00384569i | ||||||
\(100\) | −15.3118 | − | 12.1092i | −1.53118 | − | 1.21092i | ||||
\(101\) | −9.18326 | − | 5.30196i | −0.913768 | − | 0.527564i | −0.0321267 | − | 0.999484i | \(-0.510228\pi\) |
−0.881642 | + | 0.471919i | \(0.843561\pi\) | |||||||
\(102\) | −33.0939 | + | 21.4915i | −3.27679 | + | 2.12797i | ||||
\(103\) | 0.204272 | − | 0.0784125i | 0.0201275 | − | 0.00772622i | −0.348283 | − | 0.937389i | \(-0.613235\pi\) |
0.368411 | + | 0.929663i | \(0.379902\pi\) | |||||||
\(104\) | −11.4717 | + | 8.33468i | −1.12489 | + | 0.817282i | ||||
\(105\) | 13.5044 | + | 1.62441i | 1.31790 | + | 0.158526i | ||||
\(106\) | 8.55461 | + | 6.21528i | 0.830897 | + | 0.603682i | ||||
\(107\) | 4.72847 | + | 1.26699i | 0.457119 | + | 0.122485i | 0.480028 | − | 0.877253i | \(-0.340626\pi\) |
−0.0229097 | + | 0.999738i | \(0.507293\pi\) | |||||||
\(108\) | 2.29703 | − | 5.98397i | 0.221032 | − | 0.575808i | ||||
\(109\) | −5.73459 | + | 5.16345i | −0.549274 | + | 0.494569i | −0.896398 | − | 0.443251i | \(-0.853825\pi\) |
0.347123 | + | 0.937819i | \(0.387158\pi\) | |||||||
\(110\) | −0.0470720 | + | 0.0778196i | −0.00448814 | + | 0.00741981i | ||||
\(111\) | −18.3718 | + | 5.96936i | −1.74377 | + | 0.566587i | ||||
\(112\) | 3.65130 | − | 8.32190i | 0.345015 | − | 0.786345i | ||||
\(113\) | −3.56746 | + | 1.81771i | −0.335599 | + | 0.170996i | −0.613666 | − | 0.789565i | \(-0.710306\pi\) |
0.278068 | + | 0.960561i | \(0.410306\pi\) | |||||||
\(114\) | −13.1842 | − | 11.8711i | −1.23481 | − | 1.11183i | ||||
\(115\) | 11.5673 | + | 4.02119i | 1.07866 | + | 0.374978i | ||||
\(116\) | 0.157282 | + | 0.174679i | 0.0146032 | + | 0.0162185i | ||||
\(117\) | 5.44407 | − | 4.40852i | 0.503304 | − | 0.407568i | ||||
\(118\) | −4.30491 | + | 4.30491i | −0.396299 | + | 0.396299i | ||||
\(119\) | −15.6177 | + | 10.2629i | −1.43167 | + | 0.940796i | ||||
\(120\) | 18.7884 | − | 14.5900i | 1.71514 | − | 1.33188i | ||||
\(121\) | −10.0487 | − | 4.47399i | −0.913522 | − | 0.406726i | ||||
\(122\) | 20.4051 | − | 25.1982i | 1.84739 | − | 2.28134i | ||||
\(123\) | −7.68566 | − | 11.8349i | −0.692993 | − | 1.06712i | ||||
\(124\) | −17.6014 | − | 30.4866i | −1.58065 | − | 2.73777i | ||||
\(125\) | −4.45681 | − | 10.2536i | −0.398630 | − | 0.917112i | ||||
\(126\) | −5.19220 | + | 13.7481i | −0.462558 | + | 1.22478i | ||||
\(127\) | 6.49211 | + | 3.30790i | 0.576082 | + | 0.293528i | 0.717654 | − | 0.696399i | \(-0.245216\pi\) |
−0.141572 | + | 0.989928i | \(0.545216\pi\) | |||||||
\(128\) | 7.25261 | + | 18.8937i | 0.641047 | + | 1.66998i | ||||
\(129\) | 1.08310 | + | 10.3050i | 0.0953612 | + | 0.907301i | ||||
\(130\) | −16.4951 | + | 2.26860i | −1.44672 | + | 0.198970i | ||||
\(131\) | −11.7655 | − | 1.23661i | −1.02796 | − | 0.108043i | −0.424493 | − | 0.905431i | \(-0.639548\pi\) |
−0.603466 | + | 0.797389i | \(0.706214\pi\) | |||||||
\(132\) | −0.106246 | − | 0.106246i | −0.00924757 | − | 0.00924757i | ||||
\(133\) | −6.27428 | − | 5.58819i | −0.544049 | − | 0.484557i | ||||
\(134\) | 0.735006 | + | 0.238818i | 0.0634949 | + | 0.0206307i | ||||
\(135\) | 2.77762 | − | 2.40019i | 0.239060 | − | 0.206576i | ||||
\(136\) | −6.79524 | + | 31.9691i | −0.582687 | + | 2.74133i | ||||
\(137\) | 3.28970 | + | 0.172406i | 0.281058 | + | 0.0147296i | 0.192344 | − | 0.981327i | \(-0.438391\pi\) |
0.0887140 | + | 0.996057i | \(0.471724\pi\) | |||||||
\(138\) | −16.6638 | + | 25.6601i | −1.41852 | + | 2.18433i | ||||
\(139\) | −1.40509 | − | 4.32443i | −0.119179 | − | 0.366794i | 0.873617 | − | 0.486614i | \(-0.161768\pi\) |
−0.992796 | + | 0.119820i | \(0.961768\pi\) | |||||||
\(140\) | 18.1664 | − | 14.2653i | 1.53534 | − | 1.20564i | ||||
\(141\) | 3.27031 | − | 10.0650i | 0.275410 | − | 0.847625i | ||||
\(142\) | −12.0133 | − | 14.8351i | −1.00813 | − | 1.24494i | ||||
\(143\) | 0.0132764 | + | 0.0495483i | 0.00111023 | + | 0.00414344i | ||||
\(144\) | 3.19361 | + | 7.17296i | 0.266134 | + | 0.597747i | ||||
\(145\) | 0.0321819 | + | 0.130717i | 0.00267256 | + | 0.0108555i | ||||
\(146\) | −4.77502 | − | 6.57225i | −0.395183 | − | 0.543923i | ||||
\(147\) | −5.60451 | + | 15.0864i | −0.462252 | + | 1.24431i | ||||
\(148\) | −14.8926 | + | 29.2285i | −1.22417 | + | 2.40256i | ||||
\(149\) | 15.7486 | − | 9.09246i | 1.29018 | − | 0.744884i | 0.311491 | − | 0.950249i | \(-0.399172\pi\) |
0.978685 | + | 0.205366i | \(0.0658384\pi\) | |||||||
\(150\) | 27.5366 | − | 4.68797i | 2.24835 | − | 0.382771i | ||||
\(151\) | 9.44990 | − | 16.3677i | 0.769022 | − | 1.33198i | −0.169072 | − | 0.985604i | \(-0.554077\pi\) |
0.938094 | − | 0.346381i | \(-0.112590\pi\) | |||||||
\(152\) | −14.6742 | + | 0.769041i | −1.19023 | + | 0.0623775i | ||||
\(153\) | 2.52586 | − | 15.9477i | 0.204204 | − | 1.28929i | ||||
\(154\) | −0.0765039 | − | 0.0756801i | −0.00616486 | − | 0.00609848i | ||||
\(155\) | −0.644136 | − | 20.1512i | −0.0517382 | − | 1.61858i | ||||
\(156\) | 2.87536 | − | 27.3573i | 0.230213 | − | 2.19033i | ||||
\(157\) | −15.7038 | + | 4.20781i | −1.25330 | + | 0.335820i | −0.823609 | − | 0.567158i | \(-0.808043\pi\) |
−0.429688 | + | 0.902978i | \(0.641376\pi\) | |||||||
\(158\) | 12.1536 | + | 4.66533i | 0.966889 | + | 0.371154i | ||||
\(159\) | −9.78643 | + | 2.08017i | −0.776115 | + | 0.164968i | ||||
\(160\) | −0.253420 | + | 2.01474i | −0.0200346 | + | 0.159280i | ||||
\(161\) | −7.82597 | + | 12.1950i | −0.616773 | + | 0.961097i | ||||
\(162\) | 11.7289 | + | 23.0193i | 0.921510 | + | 1.80856i | ||||
\(163\) | 7.85580 | + | 5.10162i | 0.615314 | + | 0.399590i | 0.814326 | − | 0.580407i | \(-0.197107\pi\) |
−0.199012 | + | 0.979997i | \(0.563773\pi\) | |||||||
\(164\) | −23.4399 | − | 4.98231i | −1.83035 | − | 0.389053i | ||||
\(165\) | −0.0249169 | − | 0.0823683i | −0.00193978 | − | 0.00641237i | ||||
\(166\) | 4.41627 | + | 20.7769i | 0.342769 | + | 1.61260i | ||||
\(167\) | 1.18224 | + | 7.46435i | 0.0914842 | + | 0.577608i | 0.990263 | + | 0.139207i | \(0.0444553\pi\) |
−0.898779 | + | 0.438402i | \(0.855545\pi\) | |||||||
\(168\) | 11.5872 | + | 25.6507i | 0.893972 | + | 1.97899i | ||||
\(169\) | 2.12129 | − | 2.91971i | 0.163177 | − | 0.224593i | ||||
\(170\) | −24.7555 | + | 29.3262i | −1.89866 | + | 2.24922i | ||||
\(171\) | 7.21963 | − | 0.758813i | 0.552099 | − | 0.0580279i | ||||
\(172\) | 13.6746 | + | 11.0735i | 1.04268 | + | 0.844343i | ||||
\(173\) | −1.22482 | − | 23.3710i | −0.0931217 | − | 1.77687i | −0.502572 | − | 0.864535i | \(-0.667613\pi\) |
0.409451 | − | 0.912332i | \(-0.365720\pi\) | |||||||
\(174\) | −0.336334 | −0.0254974 | ||||||||
\(175\) | 13.0289 | − | 2.29075i | 0.984893 | − | 0.173164i | ||||
\(176\) | −0.0574953 | −0.00433387 | ||||||||
\(177\) | −0.301479 | − | 5.75255i | −0.0226605 | − | 0.432388i | ||||
\(178\) | 15.8062 | + | 12.7996i | 1.18472 | + | 0.959369i | ||||
\(179\) | −13.5506 | + | 1.42423i | −1.01282 | + | 0.106452i | −0.596373 | − | 0.802707i | \(-0.703392\pi\) |
−0.416449 | + | 0.909159i | \(0.636726\pi\) | |||||||
\(180\) | −1.45088 | + | 19.9039i | −0.108142 | + | 1.48355i | ||||
\(181\) | 3.38018 | − | 4.65241i | 0.251247 | − | 0.345811i | −0.664701 | − | 0.747110i | \(-0.731441\pi\) |
0.915947 | + | 0.401298i | \(0.131441\pi\) | |||||||
\(182\) | 1.95323 | − | 19.6040i | 0.144783 | − | 1.45314i | ||||
\(183\) | 4.79930 | + | 30.3016i | 0.354774 | + | 2.23996i | ||||
\(184\) | 5.26883 | + | 24.7879i | 0.388423 | + | 1.82739i | ||||
\(185\) | −15.4216 | + | 10.7306i | −1.13382 | + | 0.788929i | ||||
\(186\) | 49.2704 | + | 10.4727i | 3.61268 | + | 0.767899i | ||||
\(187\) | 0.0991590 | + | 0.0643946i | 0.00725122 | + | 0.00470900i | ||||
\(188\) | −8.15893 | − | 16.0128i | −0.595051 | − | 1.16785i | ||||
\(189\) | 1.99286 | + | 3.85941i | 0.144959 | + | 0.280731i | ||||
\(190\) | −15.6164 | − | 7.33824i | −1.13293 | − | 0.532372i | ||||
\(191\) | 14.4947 | − | 3.08094i | 1.04880 | − | 0.222929i | 0.348892 | − | 0.937163i | \(-0.386558\pi\) |
0.699907 | + | 0.714234i | \(0.253225\pi\) | |||||||
\(192\) | −19.4814 | − | 7.47820i | −1.40595 | − | 0.539693i | ||||
\(193\) | −16.0726 | + | 4.30663i | −1.15693 | + | 0.309998i | −0.785739 | − | 0.618558i | \(-0.787717\pi\) |
−0.371191 | + | 0.928557i | \(0.621050\pi\) | |||||||
\(194\) | −1.74767 | + | 16.6280i | −0.125475 | + | 1.19382i | ||||
\(195\) | 8.84829 | − | 13.0350i | 0.633639 | − | 0.933452i | ||||
\(196\) | 11.3857 | + | 24.8453i | 0.813266 | + | 1.77467i | ||||
\(197\) | 2.43376 | − | 15.3662i | 0.173398 | − | 1.09479i | −0.735423 | − | 0.677608i | \(-0.763017\pi\) |
0.908821 | − | 0.417185i | \(-0.136983\pi\) | |||||||
\(198\) | 0.0928496 | − | 0.00486604i | 0.00659854 | − | 0.000345815i | ||||
\(199\) | 0.988951 | − | 1.71291i | 0.0701049 | − | 0.121425i | −0.828842 | − | 0.559482i | \(-0.811000\pi\) |
0.898947 | + | 0.438057i | \(0.144333\pi\) | |||||||
\(200\) | 13.3818 | − | 18.8730i | 0.946235 | − | 1.33452i | ||||
\(201\) | −0.633276 | + | 0.365622i | −0.0446678 | + | 0.0257890i | ||||
\(202\) | 11.6976 | − | 22.9578i | 0.823039 | − | 1.61531i | ||||
\(203\) | −0.159283 | 0.000862231i | −0.0111795 | 6.05168e-5i | ||||||
\(204\) | −37.2677 | − | 51.2946i | −2.60926 | − | 3.59134i | ||||
\(205\) | −10.4875 | − | 8.85294i | −0.732478 | − | 0.618316i | ||||
\(206\) | 0.216248 | + | 0.485702i | 0.0150667 | + | 0.0338405i | ||||
\(207\) | −3.24028 | − | 12.0929i | −0.225215 | − | 0.840514i | ||||
\(208\) | −6.62419 | − | 8.18019i | −0.459305 | − | 0.567194i | ||||
\(209\) | −0.0164266 | + | 0.0505557i | −0.00113625 | + | 0.00349701i | ||||
\(210\) | −2.22435 | + | 32.9756i | −0.153494 | + | 2.27553i | ||||
\(211\) | 2.82445 | + | 8.69276i | 0.194443 | + | 0.598434i | 0.999983 | + | 0.00589215i | \(0.00187554\pi\) |
−0.805540 | + | 0.592542i | \(0.798124\pi\) | |||||||
\(212\) | −9.25355 | + | 14.2492i | −0.635536 | + | 0.978640i | ||||
\(213\) | 18.0373 | + | 0.945293i | 1.23589 | + | 0.0647704i | ||||
\(214\) | −2.47309 | + | 11.6350i | −0.169057 | + | 0.795349i | ||||
\(215\) | 3.91022 | + | 9.28804i | 0.266675 | + | 0.633439i | ||||
\(216\) | 7.22465 | + | 2.34743i | 0.491575 | + | 0.159722i | ||||
\(217\) | 23.3606 | + | 4.83343i | 1.58582 | + | 0.328115i | ||||
\(218\) | −13.2586 | − | 13.2586i | −0.897985 | − | 0.897985i | ||||
\(219\) | 7.64448 | + | 0.803468i | 0.516566 | + | 0.0542933i | ||||
\(220\) | −0.128826 | − | 0.0689868i | −0.00868546 | − | 0.00465109i | ||||
\(221\) | 2.26258 | + | 21.5270i | 0.152198 | + | 1.44806i | ||||
\(222\) | −16.8212 | − | 43.8208i | −1.12897 | − | 2.94106i | ||||
\(223\) | 6.62726 | + | 3.37676i | 0.443794 | + | 0.226124i | 0.661584 | − | 0.749871i | \(-0.269885\pi\) |
−0.217789 | + | 0.975996i | \(0.569885\pi\) | |||||||
\(224\) | −2.24771 | − | 0.848882i | −0.150181 | − | 0.0567183i | ||||
\(225\) | −6.11394 | + | 9.65699i | −0.407596 | + | 0.643800i | ||||
\(226\) | −4.86443 | − | 8.42544i | −0.323577 | − | 0.560452i | ||||
\(227\) | −6.38180 | − | 9.82711i | −0.423575 | − | 0.652249i | 0.560877 | − | 0.827899i | \(-0.310464\pi\) |
−0.984453 | + | 0.175650i | \(0.943797\pi\) | |||||||
\(228\) | 17.9395 | − | 22.1534i | 1.18807 | − | 1.46714i | ||||
\(229\) | 24.6116 | + | 10.9578i | 1.62638 | + | 0.724110i | 0.998529 | − | 0.0542256i | \(-0.0172690\pi\) |
0.627849 | + | 0.778335i | \(0.283936\pi\) | |||||||
\(230\) | −8.28657 | + | 28.5800i | −0.546401 | + | 1.88451i | ||||
\(231\) | 0.101651 | − | 0.00587925i | 0.00668816 | − | 0.000386826i | ||||
\(232\) | −0.196981 | + | 0.196981i | −0.0129324 | + | 0.0129324i | ||||
\(233\) | −16.9779 | + | 13.7484i | −1.11226 | + | 0.900689i | −0.995713 | − | 0.0924959i | \(-0.970515\pi\) |
−0.116546 | + | 0.993185i | \(0.537182\pi\) | |||||||
\(234\) | 11.3898 | + | 12.6496i | 0.744573 | + | 0.826932i | ||||
\(235\) | 0.210015 | − | 10.2906i | 0.0136998 | − | 0.671284i | ||||
\(236\) | −7.26958 | − | 6.54556i | −0.473209 | − | 0.426080i | ||||
\(237\) | −10.9752 | + | 5.59214i | −0.712915 | + | 0.363248i | ||||
\(238\) | −26.8894 | − | 36.5919i | −1.74298 | − | 2.37190i | ||||
\(239\) | −4.05851 | + | 1.31869i | −0.262523 | + | 0.0852989i | −0.437321 | − | 0.899305i | \(-0.644073\pi\) |
0.174798 | + | 0.984604i | \(0.444073\pi\) | |||||||
\(240\) | 11.5455 | + | 13.3611i | 0.745260 | + | 0.862453i | ||||
\(241\) | −0.122038 | + | 0.109884i | −0.00786117 | + | 0.00707823i | −0.673052 | − | 0.739595i | \(-0.735017\pi\) |
0.665191 | + | 0.746674i | \(0.268350\pi\) | |||||||
\(242\) | 9.57843 | − | 24.9527i | 0.615725 | − | 1.60402i | ||||
\(243\) | −18.8546 | − | 5.05209i | −1.20953 | − | 0.324092i | ||||
\(244\) | 42.1485 | + | 30.6227i | 2.69828 | + | 1.96042i | ||||
\(245\) | −0.968881 | + | 15.6225i | −0.0618996 | + | 0.998082i | ||||
\(246\) | 27.7405 | − | 20.1546i | 1.76867 | − | 1.28501i | ||||
\(247\) | −9.08541 | + | 3.48756i | −0.578091 | + | 0.221908i | ||||
\(248\) | 34.9898 | − | 22.7227i | 2.22186 | − | 1.44289i | ||||
\(249\) | −17.4055 | − | 10.0490i | −1.10303 | − | 0.636832i | ||||
\(250\) | 24.3141 | − | 12.1186i | 1.53776 | − | 0.766447i | ||||
\(251\) | − | 0.132304i | − | 0.00835098i | −0.999991 | − | 0.00417549i | \(-0.998671\pi\) | ||
0.999991 | − | 0.00417549i | \(-0.00132910\pi\) | |||||||
\(252\) | −22.4966 | − | 7.17519i | −1.41715 | − | 0.451995i | ||||
\(253\) | 0.0905461 | + | 0.0143411i | 0.00569259 | + | 0.000901617i | ||||
\(254\) | −7.20115 | + | 16.1741i | −0.451840 | + | 1.01485i | ||||
\(255\) | −4.94757 | − | 35.9741i | −0.309829 | − | 2.25278i | ||||
\(256\) | −28.3409 | + | 12.6182i | −1.77131 | + | 0.788637i | ||||
\(257\) | −2.37849 | + | 8.87663i | −0.148366 | + | 0.553709i | 0.851217 | + | 0.524815i | \(0.175865\pi\) |
−0.999582 | + | 0.0288944i | \(0.990801\pi\) | |||||||
\(258\) | −24.8677 | + | 3.93865i | −1.54819 | + | 0.245210i | ||||
\(259\) | −8.07863 | − | 20.7098i | −0.501982 | − | 1.28684i | ||||
\(260\) | −5.02727 | − | 26.2770i | −0.311778 | − | 1.62963i | ||||
\(261\) | 0.0920877 | − | 0.102274i | 0.00570008 | − | 0.00633058i | ||||
\(262\) | 1.50446 | − | 28.7068i | 0.0929458 | − | 1.77351i | ||||
\(263\) | 1.09475 | − | 20.8891i | 0.0675052 | − | 1.28808i | −0.729449 | − | 0.684036i | \(-0.760223\pi\) |
0.796954 | − | 0.604040i | \(-0.206443\pi\) | |||||||
\(264\) | 0.119155 | − | 0.132335i | 0.00733350 | − | 0.00814468i | ||||
\(265\) | −8.52455 | + | 4.69239i | −0.523659 | + | 0.288251i | ||||
\(266\) | 12.7621 | − | 15.9354i | 0.782492 | − | 0.977065i | ||||
\(267\) | −19.0074 | + | 3.01047i | −1.16323 | + | 0.184238i | ||||
\(268\) | −0.321394 | + | 1.19946i | −0.0196323 | + | 0.0732687i | ||||
\(269\) | 1.38180 | − | 0.615216i | 0.0842497 | − | 0.0375104i | −0.364179 | − | 0.931329i | \(-0.618650\pi\) |
0.448429 | + | 0.893819i | \(0.351984\pi\) | |||||||
\(270\) | 6.17739 | + | 6.43479i | 0.375944 | + | 0.391609i | ||||
\(271\) | 3.69590 | − | 8.30112i | 0.224510 | − | 0.504257i | −0.765809 | − | 0.643068i | \(-0.777661\pi\) |
0.990319 | + | 0.138811i | \(0.0443279\pi\) | |||||||
\(272\) | −23.9627 | − | 3.79533i | −1.45295 | − | 0.230125i | ||||
\(273\) | 12.5480 | + | 13.7852i | 0.759439 | + | 0.834316i | ||||
\(274\) | 8.00453i | 0.483571i | ||||||||
\(275\) | −0.0463910 | − | 0.0696612i | −0.00279748 | − | 0.00420073i | ||||
\(276\) | −42.5749 | − | 24.5807i | −2.56271 | − | 1.47958i | ||||
\(277\) | −11.4597 | + | 7.44201i | −0.688546 | + | 0.447147i | −0.840908 | − | 0.541177i | \(-0.817979\pi\) |
0.152362 | + | 0.988325i | \(0.451312\pi\) | |||||||
\(278\) | 10.3147 | − | 3.95946i | 0.618637 | − | 0.237472i | ||||
\(279\) | −16.6747 | + | 12.1149i | −0.998291 | + | 0.725301i | ||||
\(280\) | 18.0101 | + | 20.6156i | 1.07631 | + | 1.23202i | ||||
\(281\) | −3.22462 | − | 2.34282i | −0.192365 | − | 0.139761i | 0.487434 | − | 0.873160i | \(-0.337933\pi\) |
−0.679799 | + | 0.733399i | \(0.737933\pi\) | |||||||
\(282\) | 24.8390 | + | 6.65559i | 1.47914 | + | 0.396334i | ||||
\(283\) | −6.77206 | + | 17.6418i | −0.402557 | + | 1.04870i | 0.571140 | + | 0.820853i | \(0.306501\pi\) |
−0.973697 | + | 0.227845i | \(0.926832\pi\) | |||||||
\(284\) | 22.7939 | − | 20.5238i | 1.35257 | − | 1.21786i | ||||
\(285\) | 15.0470 | − | 6.33471i | 0.891308 | − | 0.375236i | ||||
\(286\) | −0.118543 | + | 0.0385168i | −0.00700957 | + | 0.00227755i | ||||
\(287\) | 13.0858 | − | 9.61605i | 0.772431 | − | 0.567618i | ||||
\(288\) | 1.84965 | − | 0.942442i | 0.108991 | − | 0.0555339i | ||||
\(289\) | 24.4430 | + | 22.0086i | 1.43783 | + | 1.29462i | ||||
\(290\) | −0.313098 | + | 0.0947139i | −0.0183858 | + | 0.00556179i | ||||
\(291\) | −10.5856 | − | 11.7565i | −0.620536 | − | 0.689176i | ||||
\(292\) | 10.1442 | − | 8.21458i | 0.593642 | − | 0.480722i | ||||
\(293\) | 4.94524 | − | 4.94524i | 0.288904 | − | 0.288904i | −0.547743 | − | 0.836647i | \(-0.684513\pi\) |
0.836647 | + | 0.547743i | \(0.184513\pi\) | |||||||
\(294\) | −37.3206 | − | 11.6810i | −2.17658 | − | 0.681252i | ||||
\(295\) | −1.90061 | − | 5.27024i | −0.110658 | − | 0.306845i | ||||
\(296\) | −35.5163 | − | 15.8129i | −2.06434 | − | 0.919105i | ||||
\(297\) | 0.0172941 | − | 0.0213564i | 0.00100350 | − | 0.00123922i | ||||
\(298\) | 24.0660 | + | 37.0584i | 1.39410 | + | 2.14673i | ||||
\(299\) | 8.39168 | + | 14.5348i | 0.485303 | + | 0.840570i | ||||
\(300\) | 9.83785 | + | 43.7905i | 0.567988 | + | 2.52824i | ||||
\(301\) | −11.7669 | + | 1.92904i | −0.678231 | + | 0.111188i | ||||
\(302\) | 40.9187 | + | 20.8491i | 2.35460 | + | 1.19973i | ||||
\(303\) | 8.73688 | + | 22.7604i | 0.501921 | + | 1.30755i | ||||
\(304\) | −1.14018 | − | 10.8481i | −0.0653940 | − | 0.622182i | ||||
\(305\) | 13.0009 | + | 26.8567i | 0.744428 | + | 1.53781i | ||||
\(306\) | 39.0189 | + | 4.10105i | 2.23056 | + | 0.234441i | ||||
\(307\) | 4.76473 | + | 4.76473i | 0.271938 | + | 0.271938i | 0.829880 | − | 0.557942i | \(-0.188409\pi\) |
−0.557942 | + | 0.829880i | \(0.688409\pi\) | |||||||
\(308\) | 0.115001 | − | 0.129121i | 0.00655282 | − | 0.00735734i | ||||
\(309\) | −0.478436 | − | 0.155453i | −0.0272173 | − | 0.00884342i | ||||
\(310\) | 48.8158 | − | 4.12564i | 2.77255 | − | 0.234321i | ||||
\(311\) | −0.546587 | + | 2.57149i | −0.0309941 | + | 0.145816i | −0.990924 | − | 0.134425i | \(-0.957081\pi\) |
0.959930 | + | 0.280241i | \(0.0904145\pi\) | |||||||
\(312\) | 32.5563 | + | 1.70621i | 1.84314 | + | 0.0965948i | ||||
\(313\) | −2.36870 | + | 3.64748i | −0.133887 | + | 0.206168i | −0.899255 | − | 0.437425i | \(-0.855890\pi\) |
0.765368 | + | 0.643593i | \(0.222557\pi\) | |||||||
\(314\) | −12.2075 | − | 37.5707i | −0.688908 | − | 2.12024i | ||||
\(315\) | −9.41832 | − | 9.70505i | −0.530662 | − | 0.546818i | ||||
\(316\) | −6.46387 | + | 19.8938i | −0.363621 | + | 1.11911i | ||||
\(317\) | 13.0585 | + | 16.1259i | 0.733440 | + | 0.905723i | 0.998283 | − | 0.0585688i | \(-0.0186537\pi\) |
−0.264844 | + | 0.964291i | \(0.585320\pi\) | |||||||
\(318\) | −6.29216 | − | 23.4827i | −0.352847 | − | 1.31684i | ||||
\(319\) | 0.000409890 | 0 | 0.000920629i | 2.29494e−5 | 0 | 5.15453e-5i | ||||
\(320\) | −20.2414 | − | 1.47548i | −1.13153 | − | 0.0824819i | ||||
\(321\) | −6.61541 | − | 9.10533i | −0.369236 | − | 0.508210i | ||||
\(322\) | −30.5868 | − | 17.4392i | −1.70453 | − | 0.971849i | ||||
\(323\) | −10.1835 | + | 19.9862i | −0.566623 | + | 1.11206i | ||||
\(324\) | −35.9500 | + | 20.7557i | −1.99722 | + | 1.15310i | ||||
\(325\) | 4.56628 | − | 14.6262i | 0.253291 | − | 0.811314i | ||||
\(326\) | −11.3803 | + | 19.7112i | −0.630295 | + | 1.09170i | ||||
\(327\) | 17.7172 | − | 0.928518i | 0.979762 | − | 0.0513471i | ||||
\(328\) | 4.44281 | − | 28.0508i | 0.245313 | − | 1.54884i | ||||
\(329\) | 11.7804 | + | 3.08831i | 0.649477 | + | 0.170264i | ||||
\(330\) | 0.196702 | − | 0.0709366i | 0.0108281 | − | 0.00390493i | ||||
\(331\) | −1.66114 | + | 15.8047i | −0.0913045 | + | 0.868705i | 0.849005 | + | 0.528385i | \(0.177202\pi\) |
−0.940310 | + | 0.340320i | \(0.889465\pi\) | |||||||
\(332\) | −32.9669 | + | 8.83346i | −1.80929 | + | 0.484799i | ||||
\(333\) | 17.9308 | + | 6.88300i | 0.982604 | + | 0.377186i | ||||
\(334\) | −17.9622 | + | 3.81798i | −0.982848 | + | 0.208911i | ||||
\(335\) | −0.486565 | + | 0.518698i | −0.0265839 | + | 0.0283395i | ||||
\(336\) | −18.5647 | + | 9.58615i | −1.01279 | + | 0.522967i | ||||
\(337\) | −11.6113 | − | 22.7884i | −0.632508 | − | 1.24137i | −0.955507 | − | 0.294967i | \(-0.904691\pi\) |
0.323000 | − | 0.946399i | \(-0.395309\pi\) | |||||||
\(338\) | 7.35457 | + | 4.77611i | 0.400036 | + | 0.259786i | ||||
\(339\) | 9.00418 | + | 1.91390i | 0.489040 | + | 0.103949i | ||||
\(340\) | −49.1380 | − | 37.2561i | −2.66488 | − | 2.02050i | ||||
\(341\) | −0.0313794 | − | 0.147628i | −0.00169929 | − | 0.00799452i | ||||
\(342\) | 2.75941 | + | 17.4222i | 0.149212 | + | 0.942086i | ||||
\(343\) | −17.7044 | − | 5.43629i | −0.955949 | − | 0.293532i | ||||
\(344\) | −12.2575 | + | 16.8710i | −0.660882 | + | 0.909626i | ||||
\(345\) | −14.8497 | − | 23.9214i | −0.799483 | − | 1.28789i | ||||
\(346\) | 56.5550 | − | 5.94418i | 3.04042 | − | 0.319561i | ||||
\(347\) | 11.7761 | + | 9.53608i | 0.632173 | + | 0.511923i | 0.891002 | − | 0.454000i | \(-0.150003\pi\) |
−0.258829 | + | 0.965923i | \(0.583337\pi\) | |||||||
\(348\) | −0.0282832 | − | 0.539675i | −0.00151614 | − | 0.0289296i | ||||
\(349\) | 1.48928 | 0.0797192 | 0.0398596 | − | 0.999205i | \(-0.487309\pi\) | ||||
0.0398596 | + | 0.999205i | \(0.487309\pi\) | |||||||
\(350\) | 7.21547 | + | 31.3239i | 0.385683 | + | 1.67433i | ||||
\(351\) | 5.03100 | 0.268535 | ||||||||
\(352\) | 0.000795558 | 0.0151802i | 4.24034e−5 | 0.000809105i | ||||||
\(353\) | −7.30497 | − | 5.91545i | −0.388804 | − | 0.314847i | 0.414911 | − | 0.909862i | \(-0.363813\pi\) |
−0.803715 | + | 0.595015i | \(0.797146\pi\) | |||||||
\(354\) | 13.9205 | − | 1.46310i | 0.739865 | − | 0.0777629i | ||||
\(355\) | 17.0574 | − | 4.19943i | 0.905311 | − | 0.222883i | ||||
\(356\) | −19.2088 | + | 26.4386i | −1.01806 | + | 1.40124i | ||||
\(357\) | 42.7541 | + | 4.25978i | 2.26279 | + | 0.225451i | ||||
\(358\) | −5.17918 | − | 32.7001i | −0.273728 | − | 1.72825i | ||||
\(359\) | −1.27728 | − | 6.00914i | −0.0674124 | − | 0.317150i | 0.931502 | − | 0.363736i | \(-0.118499\pi\) |
−0.998914 | + | 0.0465862i | \(0.985166\pi\) | |||||||
\(360\) | −23.6468 | − | 0.482594i | −1.24630 | − | 0.0254349i | ||||
\(361\) | 8.72027 | + | 1.85355i | 0.458962 | + | 0.0975553i | ||||
\(362\) | 11.7191 | + | 7.61049i | 0.615944 | + | 0.399999i | ||||
\(363\) | 11.4813 | + | 22.5332i | 0.602610 | + | 1.18269i | ||||
\(364\) | 31.6204 | + | 1.48557i | 1.65736 | + | 0.0778648i | ||||
\(365\) | 7.34263 | − | 1.40478i | 0.384331 | − | 0.0735295i | ||||
\(366\) | −72.9177 | + | 15.4991i | −3.81147 | + | 0.810153i | ||||
\(367\) | 33.6866 | + | 12.9311i | 1.75843 | + | 0.674997i | 0.999722 | + | 0.0235632i | \(0.00750108\pi\) |
0.758705 | + | 0.651434i | \(0.225832\pi\) | |||||||
\(368\) | −18.1706 | + | 4.86880i | −0.947209 | + | 0.253804i | ||||
\(369\) | −1.46660 | + | 13.9537i | −0.0763479 | + | 0.726402i | ||||
\(370\) | −27.9994 | − | 36.0565i | −1.45562 | − | 1.87449i | ||||
\(371\) | −3.04007 | − | 11.1049i | −0.157833 | − | 0.576538i | ||||
\(372\) | −12.6611 | + | 79.9390i | −0.656447 | + | 4.14464i | ||||
\(373\) | −18.5645 | + | 0.972924i | −0.961233 | + | 0.0503761i | −0.526493 | − | 0.850180i | \(-0.676493\pi\) |
−0.434741 | + | 0.900556i | \(0.643160\pi\) | |||||||
\(374\) | −0.143646 | + | 0.248802i | −0.00742777 | + | 0.0128653i | ||||
\(375\) | −6.87256 | + | 24.7691i | −0.354898 | + | 1.27907i | ||||
\(376\) | 18.4455 | − | 10.6495i | 0.951252 | − | 0.549206i | ||||
\(377\) | −0.0837587 | + | 0.164386i | −0.00431379 | + | 0.00846629i | ||||
\(378\) | −9.11160 | + | 5.32655i | −0.468650 | + | 0.273968i | ||||
\(379\) | −13.0838 | − | 18.0083i | −0.672068 | − | 0.925022i | 0.327737 | − | 0.944769i | \(-0.393714\pi\) |
−0.999805 | + | 0.0197466i | \(0.993714\pi\) | |||||||
\(380\) | 10.4616 | − | 25.6748i | 0.536667 | − | 1.31709i | ||||
\(381\) | −6.81365 | − | 15.3037i | −0.349074 | − | 0.784032i | ||||
\(382\) | 9.31932 | + | 34.7802i | 0.476818 | + | 1.77951i | ||||
\(383\) | −9.68844 | − | 11.9642i | −0.495056 | − | 0.611344i | 0.466979 | − | 0.884268i | \(-0.345342\pi\) |
−0.962035 | + | 0.272925i | \(0.912009\pi\) | |||||||
\(384\) | 14.3783 | − | 44.2520i | 0.733742 | − | 2.25822i | ||||
\(385\) | 0.0929731 | − | 0.0340988i | 0.00473835 | − | 0.00173783i | ||||
\(386\) | −12.4942 | − | 38.4531i | −0.635937 | − | 1.95721i | ||||
\(387\) | 5.61105 | − | 8.64026i | 0.285226 | − | 0.439209i | ||||
\(388\) | −26.8279 | − | 1.40599i | −1.36198 | − | 0.0713784i | ||||
\(389\) | 2.47851 | − | 11.6605i | 0.125666 | − | 0.591211i | −0.869578 | − | 0.493795i | \(-0.835609\pi\) |
0.995244 | − | 0.0974152i | \(-0.0310575\pi\) | |||||||
\(390\) | 32.7551 | + | 19.8131i | 1.65862 | + | 1.00327i | ||||
\(391\) | 36.7909 | + | 11.9541i | 1.86060 | + | 0.604545i | ||||
\(392\) | −28.6988 | + | 15.0163i | −1.44951 | + | 0.758440i | ||||
\(393\) | 19.2328 | + | 19.2328i | 0.970168 | + | 0.970168i | ||||
\(394\) | 37.5961 | + | 3.95151i | 1.89407 | + | 0.199074i | ||||
\(395\) | −8.64219 | + | 8.29649i | −0.434836 | + | 0.417442i | ||||
\(396\) | 0.0156159 | + | 0.148576i | 0.000784729 | + | 0.00746620i | ||||
\(397\) | −2.42929 | − | 6.32850i | −0.121922 | − | 0.317619i | 0.859013 | − | 0.511954i | \(-0.171078\pi\) |
−0.980935 | + | 0.194336i | \(0.937745\pi\) | |||||||
\(398\) | 4.28222 | + | 2.18190i | 0.214648 | + | 0.109369i | ||||
\(399\) | 3.12512 | + | 19.0628i | 0.156452 | + | 0.954335i | ||||
\(400\) | 14.5105 | + | 9.18673i | 0.725524 | + | 0.459336i | ||||
\(401\) | −9.14254 | − | 15.8353i | −0.456557 | − | 0.790779i | 0.542220 | − | 0.840237i | \(-0.317584\pi\) |
−0.998776 | + | 0.0494575i | \(0.984251\pi\) | |||||||
\(402\) | −0.967730 | − | 1.49017i | −0.0482660 | − | 0.0743231i | ||||
\(403\) | 17.3887 | − | 21.4732i | 0.866190 | − | 1.06966i | ||||
\(404\) | 37.8213 | + | 16.8391i | 1.88168 | + | 0.837779i | ||||
\(405\) | −23.7624 | + | 0.759570i | −1.18076 | + | 0.0377433i | ||||
\(406\) | −0.0223482 | − | 0.386397i | −0.00110912 | − | 0.0191765i | ||||
\(407\) | −0.0994483 | + | 0.0994483i | −0.00492947 | + | 0.00492947i | ||||
\(408\) | 58.3969 | − | 47.2888i | 2.89108 | − | 2.34115i | ||||
\(409\) | −10.6452 | − | 11.8226i | −0.526369 | − | 0.584592i | 0.420063 | − | 0.907495i | \(-0.362008\pi\) |
−0.946432 | + | 0.322903i | \(0.895341\pi\) | |||||||
\(410\) | 20.1483 | − | 26.5742i | 0.995056 | − | 1.31240i | ||||
\(411\) | −5.62843 | − | 5.06786i | −0.277630 | − | 0.249979i | ||||
\(412\) | −0.761163 | + | 0.387832i | −0.0374998 | + | 0.0191071i | ||||
\(413\) | 6.58878 | − | 0.728590i | 0.324213 | − | 0.0358516i | ||||
\(414\) | 28.9318 | − | 9.40052i | 1.42192 | − | 0.462010i | ||||
\(415\) | −19.0329 | − | 4.45332i | −0.934288 | − | 0.218605i | ||||
\(416\) | −2.06811 | + | 1.86214i | −0.101397 | + | 0.0912987i | ||||
\(417\) | −3.74639 | + | 9.75968i | −0.183462 | + | 0.477934i | ||||
\(418\) | −0.124765 | − | 0.0334306i | −0.00610243 | − | 0.00163514i | ||||
\(419\) | −28.7560 | − | 20.8925i | −1.40482 | − | 1.02066i | −0.994050 | − | 0.108926i | \(-0.965259\pi\) |
−0.410773 | − | 0.911738i | \(-0.634741\pi\) | |||||||
\(420\) | −53.0991 | − | 0.796143i | −2.59097 | − | 0.0388478i | ||||
\(421\) | −11.3679 | + | 8.25925i | −0.554037 | + | 0.402531i | −0.829272 | − | 0.558846i | \(-0.811244\pi\) |
0.275235 | + | 0.961377i | \(0.411244\pi\) | |||||||
\(422\) | −20.7342 | + | 7.95910i | −1.00932 | + | 0.387443i | ||||
\(423\) | −8.82473 | + | 5.73085i | −0.429073 | + | 0.278643i | ||||
\(424\) | −17.4383 | − | 10.0680i | −0.846876 | − | 0.488944i | ||||
\(425\) | −14.7363 | − | 32.0956i | −0.714816 | − | 1.55686i | ||||
\(426\) | 43.8884i | 2.12640i | ||||||||
\(427\) | −34.4930 | + | 7.52710i | −1.66923 | + | 0.364262i | ||||
\(428\) | −18.8772 | − | 2.98985i | −0.912464 | − | 0.144520i | ||||
\(429\) | 0.0479688 | − | 0.107740i | 0.00231596 | − | 0.00520172i | ||||
\(430\) | −22.0406 | + | 10.6695i | −1.06289 | + | 0.514527i | ||||
\(431\) | 3.47670 | − | 1.54793i | 0.167467 | − | 0.0745610i | −0.321291 | − | 0.946980i | \(-0.604117\pi\) |
0.488758 | + | 0.872419i | \(0.337450\pi\) | |||||||
\(432\) | −1.45948 | + | 5.44685i | −0.0702192 | + | 0.262061i | ||||
\(433\) | −1.22529 | + | 0.194066i | −0.0588836 | + | 0.00932624i | −0.185807 | − | 0.982586i | \(-0.559490\pi\) |
0.126923 | + | 0.991913i | \(0.459490\pi\) | |||||||
\(434\) | −8.75776 | + | 57.3001i | −0.420386 | + | 2.75049i | ||||
\(435\) | 0.131631 | − | 0.280122i | 0.00631124 | − | 0.0134308i | ||||
\(436\) | 20.1595 | − | 22.3894i | 0.965467 | − | 1.07226i | ||||
\(437\) | −0.910245 | + | 17.3685i | −0.0435429 | + | 0.830848i | ||||
\(438\) | −0.977501 | + | 18.6518i | −0.0467068 | + | 0.891219i | ||||
\(439\) | −3.64427 | + | 4.04738i | −0.173932 | + | 0.193171i | −0.823807 | − | 0.566870i | \(-0.808154\pi\) |
0.649876 | + | 0.760041i | \(0.274821\pi\) | |||||||
\(440\) | 0.0736569 | − | 0.156748i | 0.00351146 | − | 0.00747266i | ||||
\(441\) | 13.7703 | − | 8.15034i | 0.655730 | − | 0.388111i | ||||
\(442\) | −51.9485 | + | 8.22783i | −2.47094 | + | 0.391358i | ||||
\(443\) | −4.73507 | + | 17.6715i | −0.224970 | + | 0.839599i | 0.757447 | + | 0.652897i | \(0.226447\pi\) |
−0.982417 | + | 0.186702i | \(0.940220\pi\) | |||||||
\(444\) | 68.8995 | − | 30.6760i | 3.26983 | − | 1.45582i | ||||
\(445\) | −16.8465 | + | 8.15509i | −0.798599 | + | 0.386589i | ||||
\(446\) | −7.35106 | + | 16.5107i | −0.348083 | + | 0.781807i | ||||
\(447\) | −41.2945 | − | 6.54041i | −1.95316 | − | 0.309351i | ||||
\(448\) | 7.29685 | − | 22.8780i | 0.344744 | − | 1.08089i | ||||
\(449\) | − | 7.28927i | − | 0.344002i | −0.985097 | − | 0.172001i | \(-0.944977\pi\) | ||
0.985097 | − | 0.172001i | \(-0.0550232\pi\) | |||||||
\(450\) | −24.2106 | − | 13.6076i | −1.14130 | − | 0.641471i | ||||
\(451\) | −0.0889755 | − | 0.0513700i | −0.00418969 | − | 0.00241892i | ||||
\(452\) | 13.1102 | − | 8.51389i | 0.616654 | − | 0.400460i | ||||
\(453\) | −40.5667 | + | 15.5721i | −1.90599 | + | 0.731641i | ||||
\(454\) | 23.0343 | − | 16.7354i | 1.08105 | − | 0.785432i | ||||
\(455\) | 15.5631 | + | 9.29922i | 0.729611 | + | 0.435954i | ||||
\(456\) | 27.3318 | + | 19.8577i | 1.27993 | + | 0.929922i | ||||
\(457\) | −11.4145 | − | 3.05849i | −0.533946 | − | 0.143070i | −0.0182361 | − | 0.999834i | \(-0.505805\pi\) |
−0.515710 | + | 0.856763i | \(0.672472\pi\) | |||||||
\(458\) | −23.4596 | + | 61.1145i | −1.09620 | + | 2.85569i | ||||
\(459\) | 8.61754 | − | 7.75927i | 0.402232 | − | 0.362172i | ||||
\(460\) | −46.5558 | − | 10.8931i | −2.17067 | − | 0.507894i | ||||
\(461\) | 0.809532 | − | 0.263033i | 0.0377037 | − | 0.0122507i | −0.290104 | − | 0.956995i | \(-0.593690\pi\) |
0.327808 | + | 0.944744i | \(0.393690\pi\) | |||||||
\(462\) | 0.0271932 | + | 0.245913i | 0.00126514 | + | 0.0114409i | ||||
\(463\) | 34.4372 | − | 17.5466i | 1.60043 | − | 0.815460i | 0.600557 | − | 0.799582i | \(-0.294945\pi\) |
0.999874 | − | 0.0158788i | \(-0.00505458\pi\) | |||||||
\(464\) | −0.153675 | − | 0.138370i | −0.00713419 | − | 0.00642365i | ||||
\(465\) | −28.0055 | + | 36.9371i | −1.29872 | + | 1.71292i | ||||
\(466\) | −35.5202 | − | 39.4492i | −1.64544 | − | 1.82745i | ||||
\(467\) | −6.95024 | + | 5.62819i | −0.321619 | + | 0.260442i | −0.776509 | − | 0.630106i | \(-0.783012\pi\) |
0.454891 | + | 0.890547i | \(0.349678\pi\) | |||||||
\(468\) | −19.3396 | + | 19.3396i | −0.893972 | + | 0.893972i | ||||
\(469\) | −0.462123 | − | 0.703244i | −0.0213389 | − | 0.0324728i | ||||
\(470\) | 24.9973 | − | 0.799042i | 1.15304 | − | 0.0368570i | ||||
\(471\) | 34.1469 | + | 15.2032i | 1.57341 | + | 0.700525i | ||||
\(472\) | 7.29593 | − | 9.00972i | 0.335822 | − | 0.414706i | ||||
\(473\) | 0.0410873 | + | 0.0632689i | 0.00188920 | + | 0.00290911i | ||||
\(474\) | −14.9653 | − | 25.9206i | −0.687377 | − | 1.19057i | ||||
\(475\) | 12.2236 | − | 10.1344i | 0.560857 | − | 0.464999i | ||||
\(476\) | 56.4535 | − | 46.2233i | 2.58754 | − | 2.11864i | ||||
\(477\) | 8.86348 | + | 4.51617i | 0.405831 | + | 0.206781i | ||||
\(478\) | −3.71597 | − | 9.68044i | −0.169965 | − | 0.442773i | ||||
\(479\) | 0.101310 | + | 0.963902i | 0.00462898 | + | 0.0440418i | 0.996593 | − | 0.0824819i | \(-0.0262847\pi\) |
−0.991964 | + | 0.126524i | \(0.959618\pi\) | |||||||
\(480\) | 3.36789 | − | 3.23318i | 0.153723 | − | 0.147574i | ||||
\(481\) | −25.6068 | − | 2.69138i | −1.16757 | − | 0.122717i | ||||
\(482\) | −0.282157 | − | 0.282157i | −0.0128519 | − | 0.0128519i | ||||
\(483\) | 31.6277 | − | 10.4661i | 1.43911 | − | 0.476223i | ||||
\(484\) | 40.8440 | + | 13.2710i | 1.85655 | + | 0.603228i | ||||
\(485\) | −13.1650 | − | 7.96330i | −0.597790 | − | 0.361595i | ||||
\(486\) | 9.86136 | − | 46.3941i | 0.447320 | − | 2.10448i | ||||
\(487\) | 34.6240 | + | 1.81457i | 1.56896 | + | 0.0822258i | 0.816866 | − | 0.576827i | \(-0.195709\pi\) |
0.752096 | + | 0.659053i | \(0.229043\pi\) | |||||||
\(488\) | −33.6284 | + | 51.7832i | −1.52229 | + | 2.34412i | ||||
\(489\) | −6.65491 | − | 20.4817i | −0.300946 | − | 0.926215i | ||||
\(490\) | −38.0318 | − | 0.364328i | −1.71810 | − | 0.0164587i | ||||
\(491\) | 1.58176 | − | 4.86817i | 0.0713840 | − | 0.219697i | −0.908999 | − | 0.416798i | \(-0.863152\pi\) |
0.980383 | + | 0.197100i | \(0.0631524\pi\) | |||||||
\(492\) | 34.6725 | + | 42.8170i | 1.56316 | + | 1.93034i | ||||
\(493\) | 0.110061 | + | 0.410755i | 0.00495692 | + | 0.0184995i | ||||
\(494\) | −9.61810 | − | 21.6026i | −0.432739 | − | 0.971948i | ||||
\(495\) | −0.0322859 | + | 0.0792361i | −0.00145114 | + | 0.00356140i | ||||
\(496\) | 18.2037 | + | 25.0553i | 0.817371 | + | 1.12501i | ||||
\(497\) | 0.112513 | + | 20.7849i | 0.00504690 | + | 0.932330i | ||||
\(498\) | 22.1710 | − | 43.5130i | 0.993506 | − | 1.94986i | ||||
\(499\) | −31.5502 | + | 18.2155i | −1.41238 | + | 0.815438i | −0.995612 | − | 0.0935745i | \(-0.970171\pi\) |
−0.416768 | + | 0.909013i | \(0.636837\pi\) | |||||||
\(500\) | 21.4899 | + | 37.9948i | 0.961058 | + | 1.69918i | ||||
\(501\) | 8.68766 | − | 15.0475i | 0.388136 | − | 0.672271i | ||||
\(502\) | 0.321042 | − | 0.0168251i | 0.0143288 | − | 0.000750941i | ||||
\(503\) | −0.209162 | + | 1.32059i | −0.00932605 | + | 0.0588824i | −0.991912 | − | 0.126924i | \(-0.959490\pi\) |
0.982586 | + | 0.185806i | \(0.0594896\pi\) | |||||||
\(504\) | 7.09664 | − | 27.0703i | 0.316110 | − | 1.20581i | ||||
\(505\) | 14.5428 | + | 18.7276i | 0.647145 | + | 0.833367i | ||||
\(506\) | −0.0232846 | + | 0.221538i | −0.00103512 | + | 0.00984855i | ||||
\(507\) | −8.01470 | + | 2.14753i | −0.355945 | + | 0.0953752i | ||||
\(508\) | −26.5581 | − | 10.1947i | −1.17833 | − | 0.452317i | ||||
\(509\) | −18.7407 | + | 3.98347i | −0.830669 | + | 0.176564i | −0.603573 | − | 0.797308i | \(-0.706257\pi\) |
−0.227097 | + | 0.973872i | \(0.572923\pi\) | |||||||
\(510\) | 86.6634 | − | 16.5803i | 3.83752 | − | 0.734188i | ||||
\(511\) | −0.415114 | + | 8.83574i | −0.0183636 | + | 0.390870i | ||||
\(512\) | −15.8470 | − | 31.1015i | −0.700346 | − | 1.37451i | ||||
\(513\) | 4.37245 | + | 2.83950i | 0.193048 | + | 0.125367i | ||||
\(514\) | −21.8420 | − | 4.64266i | −0.963409 | − | 0.204779i | ||||
\(515\) | −0.489160 | − | 0.00998298i | −0.0215550 | − | 0.000439903i | ||||
\(516\) | −8.41107 | − | 39.5710i | −0.370277 | − | 1.74202i | ||||
\(517\) | −0.0120533 | − | 0.0761016i | −0.000530104 | − | 0.00334694i | ||||
\(518\) | 49.2258 | − | 22.2368i | 2.16286 | − | 0.977028i | ||||
\(519\) | −31.6267 | + | 43.5304i | −1.38826 | + | 1.91077i | ||||
\(520\) | 30.7877 | − | 7.57976i | 1.35013 | − | 0.332394i | ||||
\(521\) | 14.5325 | − | 1.52742i | 0.636678 | − | 0.0669176i | 0.219310 | − | 0.975655i | \(-0.429619\pi\) |
0.417368 | + | 0.908738i | \(0.362953\pi\) | |||||||
\(522\) | 0.259882 | + | 0.210448i | 0.0113747 | + | 0.00921108i | ||||
\(523\) | 1.82151 | + | 34.7566i | 0.0796493 | + | 1.51980i | 0.687755 | + | 0.725943i | \(0.258596\pi\) |
−0.608106 | + | 0.793856i | \(0.708070\pi\) | |||||||
\(524\) | 46.1889 | 2.01777 | ||||||||
\(525\) | −26.5938 | − | 14.7583i | −1.16065 | − | 0.644105i | ||||
\(526\) | 50.8274 | 2.21618 | ||||||||
\(527\) | −3.33311 | − | 63.5996i | −0.145193 | − | 2.77044i | ||||
\(528\) | 0.102730 | + | 0.0831888i | 0.00447073 | + | 0.00362033i | ||||
\(529\) | 6.95634 | − | 0.731141i | 0.302449 | − | 0.0317887i | ||||
\(530\) | −12.4703 | − | 20.0884i | −0.541677 | − | 0.872586i | ||||
\(531\) | −3.36650 | + | 4.63359i | −0.146094 | + | 0.201081i | ||||
\(532\) | 26.6429 | + | 19.1377i | 1.15512 | + | 0.829725i | ||||
\(533\) | −2.94239 | − | 18.5775i | −0.127449 | − | 0.804683i | ||||
\(534\) | −9.72219 | − | 45.7393i | −0.420720 | − | 1.97933i | ||||
\(535\) | −8.72251 | − | 6.61335i | −0.377107 | − | 0.285920i | ||||
\(536\) | −1.43952 | − | 0.305980i | −0.0621780 | − | 0.0132163i | ||||
\(537\) | 26.2723 | + | 17.0614i | 1.13373 | + | 0.736255i | ||||
\(538\) | 1.66857 | + | 3.27475i | 0.0719372 | + | 0.141185i | ||||
\(539\) | 0.0135087 | + | 0.116391i | 0.000581862 | + | 0.00501333i | ||||
\(540\) | −9.80566 | + | 10.4532i | −0.421969 | + | 0.449836i | ||||
\(541\) | 16.9335 | − | 3.59933i | 0.728028 | − | 0.154747i | 0.171036 | − | 0.985265i | \(-0.445289\pi\) |
0.556992 | + | 0.830518i | \(0.311955\pi\) | |||||||
\(542\) | 20.6130 | + | 7.91260i | 0.885405 | + | 0.339875i | ||||
\(543\) | −12.7710 | + | 3.42198i | −0.548057 | + | 0.146851i | ||||
\(544\) | −0.670488 | + | 6.37926i | −0.0287469 | + | 0.273509i | ||||
\(545\) | 16.2317 | − | 5.85365i | 0.695290 | − | 0.250743i | ||||
\(546\) | −31.8546 | + | 32.2013i | −1.36325 | + | 1.37809i | ||||
\(547\) | 1.54775 | − | 9.77211i | 0.0661770 | − | 0.417825i | −0.932253 | − | 0.361808i | \(-0.882160\pi\) |
0.998430 | − | 0.0560177i | \(-0.0178403\pi\) | |||||||
\(548\) | −12.8439 | + | 0.673121i | −0.548665 | + | 0.0287543i | ||||
\(549\) | 15.2517 | − | 26.4167i | 0.650927 | − | 1.12744i | ||||
\(550\) | 0.163136 | − | 0.121428i | 0.00695615 | − | 0.00517773i | ||||
\(551\) | −0.165574 | + | 0.0955944i | −0.00705370 | + | 0.00407246i | ||||
\(552\) | 26.4511 | − | 51.9131i | 1.12583 | − | 2.20957i | ||||
\(553\) | −7.15378 | − | 12.2373i | −0.304210 | − | 0.520381i | ||||
\(554\) | −19.5157 | − | 26.8610i | −0.829142 | − | 1.14122i | ||||
\(555\) | 43.0804 | + | 3.14031i | 1.82866 | + | 0.133299i | ||||
\(556\) | 7.22066 | + | 16.2179i | 0.306224 | + | 0.687791i | ||||
\(557\) | −4.19928 | − | 15.6719i | −0.177929 | − | 0.664041i | −0.996034 | − | 0.0889717i | \(-0.971642\pi\) |
0.818105 | − | 0.575069i | \(-0.195025\pi\) | |||||||
\(558\) | −31.5179 | − | 38.9213i | −1.33426 | − | 1.64767i | ||||
\(559\) | −4.26786 | + | 13.1351i | −0.180511 | + | 0.555557i | ||||
\(560\) | −14.5827 | + | 14.1519i | −0.616231 | + | 0.598025i | ||||
\(561\) | −0.0840009 | − | 0.258528i | −0.00354652 | − | 0.0109151i | ||||
\(562\) | 5.27488 | − | 8.12260i | 0.222507 | − | 0.342631i | ||||
\(563\) | 30.9666 | + | 1.62289i | 1.30509 | + | 0.0683966i | 0.692160 | − | 0.721744i | \(-0.256659\pi\) |
0.612925 | + | 0.790141i | \(0.289993\pi\) | |||||||
\(564\) | −8.59065 | + | 40.4158i | −0.361732 | + | 1.70181i | ||||
\(565\) | 8.92109 | − | 0.753962i | 0.375313 | − | 0.0317194i | ||||
\(566\) | −43.6698 | − | 14.1892i | −1.83558 | − | 0.596416i | ||||
\(567\) | 5.69961 | − | 27.5470i | 0.239361 | − | 1.15686i | ||||
\(568\) | 25.7042 | + | 25.7042i | 1.07852 | + | 1.07852i | ||||
\(569\) | −13.2566 | − | 1.39333i | −0.555746 | − | 0.0584112i | −0.177507 | − | 0.984119i | \(-0.556803\pi\) |
−0.378238 | + | 0.925708i | \(0.623470\pi\) | |||||||
\(570\) | 17.2850 | + | 35.7066i | 0.723988 | + | 1.49559i | ||||
\(571\) | −0.872701 | − | 8.30320i | −0.0365214 | − | 0.347478i | −0.997489 | − | 0.0708179i | \(-0.977439\pi\) |
0.960968 | − | 0.276660i | \(-0.0892276\pi\) | |||||||
\(572\) | −0.0717719 | − | 0.186972i | −0.00300093 | − | 0.00781770i | ||||
\(573\) | −30.3562 | − | 15.4672i | −1.26815 | − | 0.646153i | ||||
\(574\) | 24.9979 | + | 30.5304i | 1.04339 | + | 1.27431i | ||||
\(575\) | −20.5603 | − | 18.0870i | −0.857424 | − | 0.754281i | ||||
\(576\) | 10.3739 | + | 17.9681i | 0.432245 | + | 0.748670i | ||||
\(577\) | 18.8463 | + | 29.0208i | 0.784582 | + | 1.20815i | 0.974065 | + | 0.226267i | \(0.0726522\pi\) |
−0.189483 | + | 0.981884i | \(0.560681\pi\) | |||||||
\(578\) | −50.2964 | + | 62.1109i | −2.09205 | + | 2.58347i | ||||
\(579\) | 34.9489 | + | 15.5602i | 1.45242 | + | 0.646661i | ||||
\(580\) | −0.178305 | − | 0.494427i | −0.00740373 | − | 0.0205300i | ||||
\(581\) | 10.3883 | − | 20.6640i | 0.430979 | − | 0.857286i | ||||
\(582\) | 27.1814 | − | 27.1814i | 1.12670 | − | 1.12670i | ||||
\(583\) | −0.0566095 | + | 0.0458415i | −0.00234453 | + | 0.00189856i | ||||
\(584\) | 10.3514 | + | 11.4963i | 0.428342 | + | 0.475722i | ||||
\(585\) | −14.9931 | + | 4.53550i | −0.619890 | + | 0.187520i | ||||
\(586\) | 12.6287 | + | 11.3709i | 0.521687 | + | 0.469729i | ||||
\(587\) | −17.8813 | + | 9.11097i | −0.738039 | + | 0.376050i | −0.782244 | − | 0.622973i | \(-0.785925\pi\) |
0.0442042 | + | 0.999023i | \(0.485925\pi\) | |||||||
\(588\) | 15.6048 | − | 60.8662i | 0.643531 | − | 2.51008i | ||||
\(589\) | 27.2320 | − | 8.84822i | 1.12208 | − | 0.364584i | ||||
\(590\) | 12.5468 | − | 5.28212i | 0.516542 | − | 0.217462i | ||||
\(591\) | −26.5815 | + | 23.9341i | −1.09342 | + | 0.984518i | ||||
\(592\) | 10.3423 | − | 26.9426i | 0.425066 | − | 1.10734i | ||||
\(593\) | 17.9557 | + | 4.81121i | 0.737352 | + | 0.197573i | 0.607901 | − | 0.794013i | \(-0.292012\pi\) |
0.129451 | + | 0.991586i | \(0.458678\pi\) | |||||||
\(594\) | 0.0540215 | + | 0.0392489i | 0.00221653 | + | 0.00161040i | ||||
\(595\) | 41.0000 | − | 8.07436i | 1.68084 | − | 0.331016i | ||||
\(596\) | −57.4394 | + | 41.7321i | −2.35281 | + | 1.70942i | ||||
\(597\) | −4.24539 | + | 1.62965i | −0.173752 | + | 0.0666972i | ||||
\(598\) | −34.2022 | + | 22.2111i | −1.39863 | + | 0.908281i | ||||
\(599\) | −30.6038 | − | 17.6691i | −1.25044 | − | 0.721941i | −0.279241 | − | 0.960221i | \(-0.590083\pi\) |
−0.971196 | + | 0.238280i | \(0.923416\pi\) | |||||||
\(600\) | −51.2169 | + | 14.3595i | −2.09092 | + | 0.586223i | ||||
\(601\) | − | 0.819532i | − | 0.0334294i | −0.999860 | − | 0.0167147i | \(-0.994679\pi\) | ||
0.999860 | − | 0.0167147i | \(-0.00532070\pi\) | |||||||
\(602\) | −6.17729 | − | 28.3075i | −0.251767 | − | 1.15373i | ||||
\(603\) | 0.718101 | + | 0.113736i | 0.0292433 | + | 0.00463169i | ||||
\(604\) | −30.0131 | + | 67.4105i | −1.22122 | + | 2.74290i | ||||
\(605\) | 17.0336 | + | 17.7433i | 0.692514 | + | 0.721369i | ||||
\(606\) | −54.1179 | + | 24.0948i | −2.19839 | + | 0.978786i | ||||
\(607\) | 3.58282 | − | 13.3713i | 0.145422 | − | 0.542724i | −0.854314 | − | 0.519757i | \(-0.826022\pi\) |
0.999736 | − | 0.0229662i | \(-0.00731101\pi\) | |||||||
\(608\) | −2.84839 | + | 0.451141i | −0.115518 | + | 0.0182962i | ||||
\(609\) | 0.285846 | + | 0.228923i | 0.0115831 | + | 0.00927642i | ||||
\(610\) | −63.5156 | + | 34.9625i | −2.57167 | + | 1.41559i | ||||
\(611\) | 9.43873 | − | 10.4828i | 0.381850 | − | 0.424087i | ||||
\(612\) | −3.29927 | + | 62.9538i | −0.133365 | + | 2.54476i | ||||
\(613\) | −2.00609 | + | 38.2785i | −0.0810253 | + | 1.54605i | 0.591697 | + | 0.806160i | \(0.298458\pi\) |
−0.672723 | + | 0.739895i | \(0.734875\pi\) | |||||||
\(614\) | −10.9559 | + | 12.1678i | −0.442144 | + | 0.491051i | ||||
\(615\) | 5.92936 | + | 30.9921i | 0.239095 | + | 1.24972i | ||||
\(616\) | 0.159951 | + | 0.128098i | 0.00644460 | + | 0.00516122i | ||||
\(617\) | −16.5933 | + | 2.62812i | −0.668022 | + | 0.105804i | −0.481229 | − | 0.876595i | \(-0.659809\pi\) |
−0.186793 | + | 0.982399i | \(0.559809\pi\) | |||||||
\(618\) | 0.316371 | − | 1.18071i | 0.0127263 | − | 0.0474952i | ||||
\(619\) | −5.67928 | + | 2.52858i | −0.228269 | + | 0.101632i | −0.517685 | − | 0.855572i | \(-0.673206\pi\) |
0.289415 | + | 0.957204i | \(0.406539\pi\) | |||||||
\(620\) | 10.7250 | + | 77.9819i | 0.430725 | + | 3.13183i | ||||
\(621\) | 3.65706 | − | 8.21390i | 0.146753 | − | 0.329612i | ||||
\(622\) | −6.30933 | − | 0.999300i | −0.252981 | − | 0.0400683i | ||||
\(623\) | −4.72154 | − | 21.6365i | −0.189165 | − | 0.866850i | ||||
\(624\) | 24.2004i | 0.968790i | ||||||||
\(625\) | 0.577384 | + | 24.9933i | 0.0230954 | + | 0.999733i | ||||
\(626\) | −9.15199 | − | 5.28391i | −0.365787 | − | 0.211187i | ||||
\(627\) | 0.102498 | − | 0.0665632i | 0.00409339 | − | 0.00265828i | ||||
\(628\) | 59.2587 | − | 22.7473i | 2.36468 | − | 0.907716i | ||||
\(629\) | −48.0125 | + | 34.8832i | −1.91439 | + | 1.39088i | ||||
\(630\) | 22.3520 | − | 24.0881i | 0.890524 | − | 0.959695i | ||||
\(631\) | −16.6120 | − | 12.0693i | −0.661312 | − | 0.480471i | 0.205794 | − | 0.978595i | \(-0.434022\pi\) |
−0.867106 | + | 0.498124i | \(0.834022\pi\) | |||||||
\(632\) | −23.9457 | − | 6.41622i | −0.952508 | − | 0.255224i | ||||
\(633\) | 7.53080 | − | 19.6184i | 0.299323 | − | 0.779762i | ||||
\(634\) | −37.4696 | + | 33.7378i | −1.48811 | + | 1.33990i | ||||
\(635\) | −10.6526 | − | 12.3277i | −0.422734 | − | 0.489209i | ||||
\(636\) | 37.1507 | − | 12.0710i | 1.47312 | − | 0.478646i | ||||
\(637\) | −15.0033 | + | 15.3317i | −0.594452 | + | 0.607465i | ||||
\(638\) | −0.00218182 | + | 0.00111169i | −8.63790e−5 | + | 4.40123e-5i | ||||
\(639\) | −13.3458 | − | 12.0166i | −0.527950 | − | 0.475368i | ||||
\(640\) | 0.923356 | − | 45.2439i | 0.0364989 | − | 1.78842i | ||||
\(641\) | 6.22319 | + | 6.91155i | 0.245801 | + | 0.272990i | 0.853403 | − | 0.521252i | \(-0.174535\pi\) |
−0.607602 | + | 0.794242i | \(0.707868\pi\) | |||||||
\(642\) | 21.2532 | − | 17.2105i | 0.838796 | − | 0.679244i | ||||
\(643\) | 10.6811 | − | 10.6811i | 0.421223 | − | 0.421223i | −0.464402 | − | 0.885625i | \(-0.653731\pi\) |
0.885625 | + | 0.464402i | \(0.153731\pi\) | |||||||
\(644\) | 25.4105 | − | 50.5455i | 1.00131 | − | 1.99177i | ||||
\(645\) | 6.45211 | − | 22.2530i | 0.254052 | − | 0.876212i | ||||
\(646\) | −49.7923 | − | 22.1690i | −1.95905 | − | 0.872226i | ||||
\(647\) | 9.53557 | − | 11.7754i | 0.374882 | − | 0.462940i | −0.554433 | − | 0.832228i | \(-0.687065\pi\) |
0.929315 | + | 0.369288i | \(0.120398\pi\) | |||||||
\(648\) | −26.7947 | − | 41.2603i | −1.05260 | − | 1.62086i | ||||
\(649\) | −0.0209698 | − | 0.0363207i | −0.000823135 | − | 0.00142571i | ||||
\(650\) | 36.0717 | + | 9.22025i | 1.41485 | + | 0.361648i | ||||
\(651\) | −34.7461 | − | 42.4361i | −1.36181 | − | 1.66320i | ||||
\(652\) | −32.5852 | − | 16.6030i | −1.27614 | − | 0.650223i | ||||
\(653\) | −12.9236 | − | 33.6671i | −0.505740 | − | 1.31750i | −0.914401 | − | 0.404811i | \(-0.867337\pi\) |
0.408661 | − | 0.912686i | \(-0.365996\pi\) | |||||||
\(654\) | 4.50617 | + | 42.8734i | 0.176205 | + | 1.67648i | ||||
\(655\) | 23.3202 | + | 12.4880i | 0.911197 | + | 0.487948i | ||||
\(656\) | 20.9667 | + | 2.20369i | 0.818612 | + | 0.0860396i | ||||
\(657\) | −5.40409 | − | 5.40409i | −0.210833 | − | 0.210833i | ||||
\(658\) | −5.99580 | + | 28.9785i | −0.233741 | + | 1.12970i | ||||
\(659\) | 30.6779 | + | 9.96786i | 1.19504 | + | 0.388293i | 0.837935 | − | 0.545771i | \(-0.183763\pi\) |
0.357107 | + | 0.934063i | \(0.383763\pi\) | |||||||
\(660\) | 0.130365 | + | 0.309658i | 0.00507443 | + | 0.0120534i | ||||
\(661\) | 3.78793 | − | 17.8208i | 0.147333 | − | 0.693149i | −0.841024 | − | 0.540998i | \(-0.818047\pi\) |
0.988357 | − | 0.152151i | \(-0.0486199\pi\) | |||||||
\(662\) | −38.5620 | − | 2.02095i | −1.49875 | − | 0.0785464i | ||||
\(663\) | 27.1044 | − | 41.7371i | 1.05265 | − | 1.62093i | ||||
\(664\) | −12.4994 | − | 38.4692i | −0.485071 | − | 1.49290i | ||||
\(665\) | 8.27745 | + | 16.8658i | 0.320986 | + | 0.654028i | ||||
\(666\) | −14.4216 | + | 44.3852i | −0.558827 | + | 1.71989i | ||||
\(667\) | 0.207501 | + | 0.256242i | 0.00803447 | + | 0.00992174i | ||||
\(668\) | −7.63675 | − | 28.5007i | −0.295475 | − | 1.10273i | ||||
\(669\) | −6.95549 | − | 15.6223i | −0.268915 | − | 0.603992i | ||||
\(670\) | −1.32052 | − | 1.11471i | −0.0510161 | − | 0.0430649i | ||||
\(671\) | 0.131290 | + | 0.180705i | 0.00506839 | + | 0.00697604i | ||||
\(672\) | 2.78786 | + | 4.76890i | 0.107544 | + | 0.183964i | ||||
\(673\) | −8.71675 | + | 17.1076i | −0.336006 | + | 0.659449i | −0.995756 | − | 0.0920367i | \(-0.970662\pi\) |
0.659750 | + | 0.751485i | \(0.270662\pi\) | |||||||
\(674\) | 53.8205 | − | 31.0733i | 2.07309 | − | 1.19690i | ||||
\(675\) | −7.77700 | + | 2.62657i | −0.299337 | + | 0.101097i | ||||
\(676\) | −7.04519 | + | 12.2026i | −0.270969 | + | 0.469332i | ||||
\(677\) | 35.4419 | − | 1.85743i | 1.36214 | − | 0.0713870i | 0.642797 | − | 0.766037i | \(-0.277774\pi\) |
0.719348 | + | 0.694650i | \(0.244441\pi\) | |||||||
\(678\) | −3.49909 | + | 22.0924i | −0.134382 | + | 0.848453i | ||||
\(679\) | 12.8030 | − | 12.9424i | 0.491335 | − | 0.496683i | ||||
\(680\) | 41.0457 | − | 60.4669i | 1.57403 | − | 2.31880i | ||||
\(681\) | −2.81598 | + | 26.7923i | −0.107909 | + | 1.02668i | ||||
\(682\) | 0.354236 | − | 0.0949172i | 0.0135644 | − | 0.00363457i | ||||
\(683\) | 8.91129 | + | 3.42072i | 0.340981 | + | 0.130890i | 0.522832 | − | 0.852436i | \(-0.324876\pi\) |
−0.181851 | + | 0.983326i | \(0.558209\pi\) | |||||||
\(684\) | −27.7233 | + | 5.89278i | −1.06003 | + | 0.225316i | ||||
\(685\) | −6.66673 | − | 3.13274i | −0.254723 | − | 0.119696i | ||||
\(686\) | 10.9399 | − | 43.6519i | 0.417688 | − | 1.66664i | ||||
\(687\) | −28.1201 | − | 55.1888i | −1.07285 | − | 2.10558i | ||||
\(688\) | −12.9827 | − | 8.43109i | −0.494962 | − | 0.321432i | ||||
\(689\) | −13.0443 | − | 2.77265i | −0.496948 | − | 0.105629i | ||||
\(690\) | 56.1579 | − | 39.0756i | 2.13789 | − | 1.48758i | ||||
\(691\) | 10.4781 | + | 49.2956i | 0.398606 | + | 1.87529i | 0.477855 | + | 0.878439i | \(0.341415\pi\) |
−0.0792486 | + | 0.996855i | \(0.525252\pi\) | |||||||
\(692\) | 14.2938 | + | 90.2473i | 0.543367 | + | 3.43069i | ||||
\(693\) | −0.0822238 | − | 0.0590617i | −0.00312342 | − | 0.00224357i | ||||
\(694\) | −21.6421 | + | 29.7878i | −0.821524 | + | 1.13073i | ||||
\(695\) | −0.739180 | + | 10.1405i | −0.0280387 | + | 0.384649i | ||||
\(696\) | 0.636964 | − | 0.0669476i | 0.0241441 | − | 0.00253764i | ||||
\(697\) | −33.6920 | − | 27.2832i | −1.27618 | − | 1.03343i | ||||
\(698\) | 0.189391 | + | 3.61379i | 0.00716855 | + | 0.136784i | ||||
\(699\) | 50.2276 | 1.89978 | ||||||||
\(700\) | −49.6549 | + | 14.2119i | −1.87678 | + | 0.537160i | ||||
\(701\) | 41.2864 | 1.55936 | 0.779682 | − | 0.626176i | \(-0.215381\pi\) | ||||
0.779682 | + | 0.626176i | \(0.215381\pi\) | |||||||
\(702\) | 0.639790 | + | 12.2079i | 0.0241473 | + | 0.460758i | ||||
\(703\) | −20.7359 | − | 16.7916i | −0.782070 | − | 0.633307i | ||||
\(704\) | −0.151095 | + | 0.0158807i | −0.00569460 | + | 0.000598526i | ||||
\(705\) | −15.2645 | + | 18.0828i | −0.574895 | + | 0.681039i | ||||
\(706\) | 13.4251 | − | 18.4781i | 0.505261 | − | 0.695431i | ||||
\(707\) | −25.5677 | + | 11.5497i | −0.961571 | + | 0.434371i | ||||
\(708\) | 3.51827 | + | 22.2135i | 0.132225 | + | 0.834834i | ||||
\(709\) | 0.400572 | + | 1.88454i | 0.0150438 | + | 0.0707755i | 0.985029 | − | 0.172388i | \(-0.0551482\pi\) |
−0.969985 | + | 0.243163i | \(0.921815\pi\) | |||||||
\(710\) | 12.3593 | + | 40.8564i | 0.463835 | + | 1.53331i | ||||
\(711\) | 11.9795 | + | 2.54632i | 0.449266 | + | 0.0954945i | ||||
\(712\) | −32.4822 | − | 21.0942i | −1.21732 | − | 0.790538i | ||||
\(713\) | −22.4185 | − | 43.9987i | −0.839578 | − | 1.64777i | ||||
\(714\) | −4.89950 | + | 104.286i | −0.183359 | + | 3.90282i | ||||
\(715\) | 0.0143147 | − | 0.113805i | 0.000535338 | − | 0.00425606i | ||||
\(716\) | 52.0344 | − | 11.0603i | 1.94462 | − | 0.413341i | ||||
\(717\) | 9.15952 | + | 3.51601i | 0.342069 | + | 0.131308i | ||||
\(718\) | 14.4190 | − | 3.86356i | 0.538112 | − | 0.144187i | ||||
\(719\) | 5.06873 | − | 48.2257i | 0.189032 | − | 1.79852i | −0.330230 | − | 0.943900i | \(-0.607126\pi\) |
0.519262 | − | 0.854615i | \(-0.326207\pi\) | |||||||
\(720\) | −0.560930 | − | 17.5482i | −0.0209046 | − | 0.653981i | ||||
\(721\) | 0.146802 | − | 0.559980i | 0.00546719 | − | 0.0208547i | ||||
\(722\) | −3.38876 | + | 21.3958i | −0.126117 | + | 0.796270i | ||||
\(723\) | 0.377040 | − | 0.0197598i | 0.0140223 | − | 0.000734876i | ||||
\(724\) | −11.2262 | + | 19.4443i | −0.417217 | + | 0.722641i | ||||
\(725\) | 0.0436533 | − | 0.297839i | 0.00162124 | − | 0.0110614i | ||||
\(726\) | −53.2178 | + | 30.7253i | −1.97510 | + | 1.14032i | ||||
\(727\) | 3.31875 | − | 6.51342i | 0.123086 | − | 0.241569i | −0.821239 | − | 0.570584i | \(-0.806717\pi\) |
0.944325 | + | 0.329015i | \(0.106717\pi\) | |||||||
\(728\) | 0.203080 | + | 37.5157i | 0.00752665 | + | 1.39042i | ||||
\(729\) | 7.63022 | + | 10.5021i | 0.282601 | + | 0.388967i | ||||
\(730\) | 4.34251 | + | 17.6386i | 0.160724 | + | 0.652832i | ||||
\(731\) | 12.9478 | + | 29.0813i | 0.478893 | + | 1.07561i | ||||
\(732\) | −31.0015 | − | 115.699i | −1.14585 | − | 4.27636i | ||||
\(733\) | −6.48565 | − | 8.00911i | −0.239553 | − | 0.295823i | 0.643164 | − | 0.765729i | \(-0.277621\pi\) |
−0.882717 | + | 0.469905i | \(0.844288\pi\) | |||||||
\(734\) | −27.0939 | + | 83.3864i | −1.00005 | + | 3.07785i | ||||
\(735\) | 24.3350 | − | 26.5116i | 0.897610 | − | 0.977894i | ||||
\(736\) | 1.53691 | + | 4.73012i | 0.0566512 | + | 0.174354i | ||||
\(737\) | −0.00289960 | + | 0.00446499i | −0.000106808 | + | 0.000164470i | ||||
\(738\) | −34.0458 | − | 1.78427i | −1.25324 | − | 0.0656797i | ||||
\(739\) | 4.57499 | − | 21.5236i | 0.168294 | − | 0.791759i | −0.810309 | − | 0.586002i | \(-0.800701\pi\) |
0.978603 | − | 0.205757i | \(-0.0659657\pi\) | |||||||
\(740\) | 55.5010 | − | 47.9594i | 2.04026 | − | 1.76302i | ||||
\(741\) | 21.2794 | + | 6.91411i | 0.781720 | + | 0.253996i | ||||
\(742\) | 26.5599 | − | 8.78907i | 0.975045 | − | 0.322657i | ||||
\(743\) | −32.3075 | − | 32.3075i | −1.18525 | − | 1.18525i | −0.978366 | − | 0.206883i | \(-0.933668\pi\) |
−0.206883 | − | 0.978366i | \(-0.566332\pi\) | |||||||
\(744\) | −95.3951 | − | 10.0264i | −3.49735 | − | 0.367587i | ||||
\(745\) | −40.2835 | + | 5.54025i | −1.47587 | + | 0.202979i | ||||
\(746\) | −4.72168 | − | 44.9238i | −0.172873 | − | 1.64478i | ||||
\(747\) | 7.16123 | + | 18.6556i | 0.262016 | + | 0.682574i | ||||
\(748\) | −0.411303 | − | 0.209569i | −0.0150387 | − | 0.00766262i | ||||
\(749\) | 10.0211 | − | 8.20512i | 0.366162 | − | 0.299809i | ||||
\(750\) | −60.9773 | − | 13.5267i | −2.22658 | − | 0.493924i | ||||
\(751\) | −11.0388 | − | 19.1197i | −0.402810 | − | 0.697687i | 0.591254 | − | 0.806485i | \(-0.298633\pi\) |
−0.994064 | + | 0.108798i | \(0.965300\pi\) | |||||||
\(752\) | 8.61110 | + | 13.2599i | 0.314014 | + | 0.483540i | ||||
\(753\) | −0.191429 | + | 0.236395i | −0.00697605 | + | 0.00861471i | ||||
\(754\) | −0.409540 | − | 0.182339i | −0.0149146 | − | 0.00664040i | ||||
\(755\) | −33.3790 | + | 25.9202i | −1.21479 | + | 0.943332i | ||||
\(756\) | −9.31310 | − | 14.1724i | −0.338714 | − | 0.515444i | ||||
\(757\) | 2.36580 | − | 2.36580i | 0.0859865 | − | 0.0859865i | −0.662805 | − | 0.748792i | \(-0.730634\pi\) |
0.748792 | + | 0.662805i | \(0.230634\pi\) | |||||||
\(758\) | 42.0339 | − | 34.0384i | 1.52674 | − | 1.23633i | ||||
\(759\) | −0.141033 | − | 0.156633i | −0.00511919 | − | 0.00568543i | ||||
\(760\) | 31.0356 | + | 10.7890i | 1.12578 | + | 0.391359i | ||||
\(761\) | 27.8157 | + | 25.0454i | 1.00832 | + | 0.907895i | 0.995757 | − | 0.0920256i | \(-0.0293342\pi\) |
0.0125634 | + | 0.999921i | \(0.496001\pi\) | |||||||
\(762\) | 36.2686 | − | 18.4798i | 1.31387 | − | 0.669451i | ||||
\(763\) | 2.24397 | + | 20.2927i | 0.0812371 | + | 0.734643i | ||||
\(764\) | −55.0239 | + | 17.8784i | −1.99070 | + | 0.646816i | ||||
\(765\) | −18.6865 | + | 30.8926i | −0.675612 | + | 1.11692i | ||||
\(766\) | 27.7996 | − | 25.0309i | 1.00444 | − | 0.904403i | ||||
\(767\) | 2.75157 | − | 7.16810i | 0.0993536 | − | 0.258825i | ||||
\(768\) | 68.8951 | + | 18.4604i | 2.48604 | + | 0.666132i | ||||
\(769\) | 31.5396 | + | 22.9148i | 1.13735 | + | 0.826330i | 0.986747 | − | 0.162264i | \(-0.0518798\pi\) |
0.150599 | + | 0.988595i | \(0.451880\pi\) | |||||||
\(770\) | 0.0945655 | + | 0.221267i | 0.00340790 | + | 0.00797390i | ||||
\(771\) | 17.0932 | − | 12.4189i | 0.615596 | − | 0.447257i | ||||
\(772\) | 60.6505 | − | 23.2815i | 2.18286 | − | 0.837920i | ||||
\(773\) | 19.4971 | − | 12.6616i | 0.701263 | − | 0.455405i | −0.144124 | − | 0.989560i | \(-0.546037\pi\) |
0.845387 | + | 0.534154i | \(0.179370\pi\) | |||||||
\(774\) | 21.6795 | + | 12.5167i | 0.779254 | + | 0.449902i | ||||
\(775\) | −15.6690 | + | 42.2718i | −0.562846 | + | 1.51845i | ||||
\(776\) | − | 31.8387i | − | 1.14294i | ||||||
\(777\) | −15.5301 | + | 48.6920i | −0.557139 | + | 1.74682i | ||||
\(778\) | 28.6099 | + | 4.53136i | 1.02571 | + | 0.162457i | ||||
\(779\) | 7.92795 | − | 17.8065i | 0.284048 | − | 0.637983i | ||||
\(780\) | −29.0372 | + | 54.2243i | −1.03970 | + | 1.94154i | ||||
\(781\) | 0.120133 | − | 0.0534868i | 0.00429871 | − | 0.00191391i | ||||
\(782\) | −24.3284 | + | 90.7949i | −0.869983 | + | 3.24682i | ||||
\(783\) | 0.0976210 | − | 0.0154617i | 0.00348869 | − | 0.000552554i | ||||
\(784\) | −12.2466 | − | 20.6911i | −0.437378 | − | 0.738969i | ||||
\(785\) | 36.0692 | + | 4.53687i | 1.28736 | + | 0.161928i | ||||
\(786\) | −44.2234 | + | 49.1151i | −1.57740 | + | 1.75188i | ||||
\(787\) | 0.863994 | − | 16.4860i | 0.0307981 | − | 0.587662i | −0.939024 | − | 0.343850i | \(-0.888269\pi\) |
0.969823 | − | 0.243812i | \(-0.0783979\pi\) | |||||||
\(788\) | −3.17897 | + | 60.6583i | −0.113246 | + | 2.16086i | ||||
\(789\) | −32.1801 | + | 35.7396i | −1.14564 | + | 1.27236i | ||||
\(790\) | −21.2308 | − | 19.9156i | −0.755358 | − | 0.708564i | ||||
\(791\) | −1.60048 | + | 10.4716i | −0.0569066 | + | 0.372327i | ||||
\(792\) | −0.174874 | + | 0.0276973i | −0.00621388 | + | 0.000984182i | ||||
\(793\) | −10.5837 | + | 39.4989i | −0.375838 | + | 1.40265i | ||||
\(794\) | 15.0474 | − | 6.69956i | 0.534014 | − | 0.237758i | ||||
\(795\) | 22.0206 | + | 3.94989i | 0.780989 | + | 0.140088i | ||||
\(796\) | −3.14093 | + | 7.05465i | −0.111327 | + | 0.250045i | ||||
\(797\) | 43.0687 | + | 6.82142i | 1.52557 | + | 0.241627i | 0.862164 | − | 0.506630i | \(-0.169109\pi\) |
0.663409 | + | 0.748257i | \(0.269109\pi\) | |||||||
\(798\) | −45.8593 | + | 10.0075i | −1.62340 | + | 0.354260i | ||||
\(799\) | − | 32.5131i | − | 1.15023i | ||||||
\(800\) | 2.22474 | − | 3.95823i | 0.0786564 | − | 0.139945i | ||||
\(801\) | 16.5705 | + | 9.56698i | 0.585490 | + | 0.338033i | ||||
\(802\) | 37.2625 | − | 24.1985i | 1.31578 | − | 0.854480i | ||||
\(803\) | 0.0522459 | − | 0.0200553i | 0.00184372 | − | 0.000707738i | ||||
\(804\) | 2.30973 | − | 1.67811i | 0.0814578 | − | 0.0591825i | ||||
\(805\) | 26.4954 | − | 18.6496i | 0.933839 | − | 0.657312i | ||||
\(806\) | 54.3169 | + | 39.4635i | 1.91323 | + | 1.39004i | ||||
\(807\) | −3.35907 | − | 0.900061i | −0.118245 | − | 0.0316836i | ||||
\(808\) | −17.5836 | + | 45.8069i | −0.618590 | + | 1.61148i | ||||
\(809\) | 10.9422 | − | 9.85244i | 0.384709 | − | 0.346393i | −0.453973 | − | 0.891016i | \(-0.649994\pi\) |
0.838681 | + | 0.544622i | \(0.183327\pi\) | |||||||
\(810\) | −4.86499 | − | 57.5639i | −0.170938 | − | 2.02259i | ||||
\(811\) | −24.6251 | + | 8.00118i | −0.864704 | + | 0.280959i | −0.707592 | − | 0.706621i | \(-0.750218\pi\) |
−0.157112 | + | 0.987581i | \(0.550218\pi\) | |||||||
\(812\) | 0.618125 | − | 0.0683525i | 0.0216920 | − | 0.00239870i | ||||
\(813\) | −18.6144 | + | 9.48450i | −0.652835 | + | 0.332636i | ||||
\(814\) | −0.253962 | − | 0.228669i | −0.00890137 | − | 0.00801483i | ||||
\(815\) | −11.9630 | − | 17.1927i | −0.419044 | − | 0.602233i | ||||
\(816\) | 37.3240 | + | 41.4525i | 1.30660 | + | 1.45113i | ||||
\(817\) | −11.1227 | + | 9.00697i | −0.389134 | + | 0.315114i | ||||
\(818\) | 27.3344 | − | 27.3344i | 0.955725 | − | 0.955725i | ||||
\(819\) | −1.07017 | − | 18.5031i | −0.0373948 | − | 0.646551i | ||||
\(820\) | 44.3347 | + | 30.0950i | 1.54823 | + | 1.05096i | ||||
\(821\) | 44.7779 | + | 19.9364i | 1.56276 | + | 0.695785i | 0.992106 | − | 0.125406i | \(-0.0400233\pi\) |
0.570653 | + | 0.821191i | \(0.306690\pi\) | |||||||
\(822\) | 11.5816 | − | 14.3021i | 0.403955 | − | 0.498843i | ||||
\(823\) | 28.8436 | + | 44.4153i | 1.00543 | + | 1.54822i | 0.825393 | + | 0.564558i | \(0.190953\pi\) |
0.180032 | + | 0.983661i | \(0.442380\pi\) | |||||||
\(824\) | −0.506220 | − | 0.876799i | −0.0176350 | − | 0.0305447i | ||||
\(825\) | −0.0179024 | + | 0.191589i | −0.000623282 | + | 0.00667028i | ||||
\(826\) | 2.60585 | + | 15.8953i | 0.0906690 | + | 0.553068i | ||||
\(827\) | 4.78458 | + | 2.43786i | 0.166376 | + | 0.0847728i | 0.535196 | − | 0.844728i | \(-0.320238\pi\) |
−0.368819 | + | 0.929501i | \(0.620238\pi\) | |||||||
\(828\) | 17.5168 | + | 45.6330i | 0.608753 | + | 1.58585i | ||||
\(829\) | −3.66391 | − | 34.8598i | −0.127253 | − | 1.21073i | −0.852681 | − | 0.522432i | \(-0.825025\pi\) |
0.725428 | − | 0.688298i | \(-0.241642\pi\) | |||||||
\(830\) | 8.38575 | − | 46.7504i | 0.291074 | − | 1.62273i | ||||
\(831\) | 31.2433 | + | 3.28380i | 1.08382 | + | 0.113914i | ||||
\(832\) | −19.6675 | − | 19.6675i | −0.681847 | − | 0.681847i | ||||
\(833\) | −2.05298 | + | 49.4010i | −0.0711316 | + | 1.71164i | ||||
\(834\) | −24.1587 | − | 7.84964i | −0.836548 | − | 0.271811i | ||||
\(835\) | 3.85001 | − | 16.4544i | 0.133235 | − | 0.569429i | ||||
\(836\) | 0.0431503 | − | 0.203006i | 0.00149238 | − | 0.00702111i | ||||
\(837\) | −14.7822 | − | 0.774702i | −0.510947 | − | 0.0267776i | ||||
\(838\) | 47.0395 | − | 72.4345i | 1.62495 | − | 2.50221i | ||||
\(839\) | 4.17081 | + | 12.8364i | 0.143992 | + | 0.443163i | 0.996880 | − | 0.0789314i | \(-0.0251508\pi\) |
−0.852888 | + | 0.522095i | \(0.825151\pi\) | |||||||
\(840\) | −2.35126 | − | 62.8934i | −0.0811262 | − | 2.17003i | ||||
\(841\) | 8.96037 | − | 27.5772i | 0.308978 | − | 0.950938i | ||||
\(842\) | −21.4871 | − | 26.5343i | −0.740493 | − | 0.914433i | ||||
\(843\) | 2.37180 | + | 8.85167i | 0.0816891 | + | 0.304868i | ||||
\(844\) | −14.5146 | − | 32.6003i | −0.499613 | − | 1.12215i | ||||
\(845\) | −6.85625 | + | 4.25616i | −0.235862 | + | 0.146417i | ||||
\(846\) | −15.0284 | − | 20.6848i | −0.516686 | − | 0.711158i | ||||
\(847\) | −25.1244 | + | 14.6875i | −0.863284 | + | 0.504668i | ||||
\(848\) | 6.78594 | − | 13.3182i | 0.233030 | − | 0.457347i | ||||
\(849\) | 37.6256 | − | 21.7232i | 1.29131 | − | 0.745537i | ||||
\(850\) | 76.0072 | − | 39.8399i | 2.60703 | − | 1.36650i | ||||
\(851\) | −23.0079 | + | 39.8508i | −0.788699 | + | 1.36607i | ||||
\(852\) | −70.4225 | + | 3.69069i | −2.41263 | + | 0.126441i | ||||
\(853\) | −5.33840 | + | 33.7053i | −0.182783 | + | 1.15405i | 0.710214 | + | 0.703986i | \(0.248598\pi\) |
−0.892997 | + | 0.450063i | \(0.851402\pi\) | |||||||
\(854\) | −22.6513 | − | 82.7416i | −0.775111 | − | 2.83136i | ||||
\(855\) | −15.5904 | − | 4.52033i | −0.533181 | − | 0.154592i | ||||
\(856\) | 2.36769 | − | 22.5271i | 0.0809260 | − | 0.769960i | ||||
\(857\) | 6.63141 | − | 1.77688i | 0.226525 | − | 0.0606971i | −0.143771 | − | 0.989611i | \(-0.545923\pi\) |
0.370296 | + | 0.928914i | \(0.379256\pi\) | |||||||
\(858\) | 0.267535 | + | 0.102697i | 0.00913350 | + | 0.00350602i | ||||
\(859\) | 43.3468 | − | 9.21364i | 1.47897 | − | 0.314365i | 0.603395 | − | 0.797442i | \(-0.293814\pi\) |
0.875578 | + | 0.483077i | \(0.160481\pi\) | |||||||
\(860\) | −18.9735 | − | 34.4686i | −0.646990 | − | 1.17537i | ||||
\(861\) | −37.2943 | − | 1.75213i | −1.27099 | − | 0.0597126i | ||||
\(862\) | 4.19824 | + | 8.23950i | 0.142993 | + | 0.280639i | ||||
\(863\) | 1.69343 | + | 1.09973i | 0.0576452 | + | 0.0374352i | 0.573140 | − | 0.819458i | \(-0.305725\pi\) |
−0.515495 | + | 0.856893i | \(0.672392\pi\) | |||||||
\(864\) | 1.45829 | + | 0.309970i | 0.0496122 | + | 0.0105454i | ||||
\(865\) | −17.1833 | + | 49.4294i | −0.584250 | + | 1.68065i | ||||
\(866\) | −0.626730 | − | 2.94853i | −0.0212971 | − | 0.100195i | ||||
\(867\) | −11.8297 | − | 74.6900i | −0.401759 | − | 2.53661i | ||||
\(868\) | −92.6791 | − | 9.23402i | −3.14573 | − | 0.313423i | ||||
\(869\) | −0.0527129 | + | 0.0725531i | −0.00178816 | + | 0.00246119i | ||||
\(870\) | 0.696468 | + | 0.283786i | 0.0236125 | + | 0.00962125i | ||||
\(871\) | −0.969332 | + | 0.101881i | −0.0328446 | + | 0.00345210i | ||||
\(872\) | 27.7488 | + | 22.4706i | 0.939694 | + | 0.760950i | ||||
\(873\) | 0.823202 | + | 15.7076i | 0.0278612 | + | 0.531623i | ||||
\(874\) | −42.2612 | −1.42950 | ||||||||
\(875\) | −28.9126 | − | 6.24971i | −0.977426 | − | 0.211279i | ||||
\(876\) | −30.0106 | −1.01396 | ||||||||
\(877\) | −2.45627 | − | 46.8683i | −0.0829422 | − | 1.58263i | −0.650635 | − | 0.759391i | \(-0.725497\pi\) |
0.567693 | − | 0.823240i | \(-0.307836\pi\) | |||||||
\(878\) | −10.2846 | − | 8.32828i | −0.347087 | − | 0.281066i | ||||
\(879\) | −15.9911 | + | 1.68073i | −0.539365 | + | 0.0566896i | ||||
\(880\) | 0.119059 | + | 0.0485124i | 0.00401348 | + | 0.00163535i | ||||
\(881\) | 12.9945 | − | 17.8855i | 0.437797 | − | 0.602576i | −0.531924 | − | 0.846792i | \(-0.678531\pi\) |
0.969721 | + | 0.244216i | \(0.0785306\pi\) | |||||||
\(882\) | 21.5283 | + | 32.3778i | 0.724896 | + | 1.09022i | ||||
\(883\) | 2.48456 | + | 15.6869i | 0.0836122 | + | 0.527906i | 0.993571 | + | 0.113208i | \(0.0361128\pi\) |
−0.909959 | + | 0.414698i | \(0.863887\pi\) | |||||||
\(884\) | −17.5707 | − | 82.6636i | −0.590966 | − | 2.78028i | ||||
\(885\) | −4.22950 | + | 12.1666i | −0.142173 | + | 0.408974i | ||||
\(886\) | −43.4828 | − | 9.24256i | −1.46083 | − | 0.310510i | ||||
\(887\) | −14.7196 | − | 9.55901i | −0.494236 | − | 0.320960i | 0.273341 | − | 0.961917i | \(-0.411871\pi\) |
−0.767577 | + | 0.640957i | \(0.778538\pi\) | |||||||
\(888\) | 40.5794 | + | 79.6415i | 1.36175 | + | 2.67259i | ||||
\(889\) | 17.1289 | − | 8.84473i | 0.574485 | − | 0.296643i | ||||
\(890\) | −21.9310 | − | 39.8416i | −0.735130 | − | 1.33549i | ||||
\(891\) | −0.174084 | + | 0.0370028i | −0.00583205 | + | 0.00123964i | ||||
\(892\) | −27.1110 | − | 10.4069i | −0.907743 | − | 0.348450i | ||||
\(893\) | 14.1197 | − | 3.78336i | 0.472498 | − | 0.126605i | ||||
\(894\) | 10.6192 | − | 101.035i | 0.355158 | − | 3.37910i | ||||
\(895\) | 29.2619 | + | 8.48429i | 0.978117 | + | 0.283598i | ||||
\(896\) | 51.7942 | + | 13.5782i | 1.73032 | + | 0.453614i | ||||
\(897\) | 6.03632 | − | 38.1118i | 0.201547 | − | 1.27252i | ||||
\(898\) | 17.6877 | − | 0.926974i | 0.590246 | − | 0.0309335i | ||||
\(899\) | 0.271415 | − | 0.470104i | 0.00905219 | − | 0.0156789i | ||||
\(900\) | 19.7986 | − | 39.9922i | 0.659955 | − | 1.33307i | ||||
\(901\) | −26.6196 | + | 15.3689i | −0.886829 | + | 0.512011i | ||||
\(902\) | 0.113336 | − | 0.222435i | 0.00377369 | − | 0.00740629i | ||||
\(903\) | 23.8155 | + | 13.5786i | 0.792532 | + | 0.451866i | ||||
\(904\) | 10.8896 | + | 14.9882i | 0.362182 | + | 0.498500i | ||||
\(905\) | −10.9251 | + | 6.78198i | −0.363162 | + | 0.225441i | ||||
\(906\) | −42.9452 | − | 96.4565i | −1.42676 | − | 3.20455i | ||||
\(907\) | 7.69450 | + | 28.7163i | 0.255492 | + | 0.953508i | 0.967816 | + | 0.251658i | \(0.0809757\pi\) |
−0.712325 | + | 0.701850i | \(0.752358\pi\) | |||||||
\(908\) | 28.7904 | + | 35.5531i | 0.955441 | + | 1.17987i | ||||
\(909\) | 7.49054 | − | 23.0535i | 0.248445 | − | 0.764636i | ||||
\(910\) | −20.5858 | + | 38.9471i | −0.682412 | + | 1.29109i | ||||
\(911\) | 12.1969 | + | 37.5382i | 0.404101 | + | 1.24370i | 0.921643 | + | 0.388038i | \(0.126847\pi\) |
−0.517542 | + | 0.855658i | \(0.673153\pi\) | |||||||
\(912\) | −13.6587 | + | 21.0326i | −0.452285 | + | 0.696458i | ||||
\(913\) | −0.146126 | − | 0.00765812i | −0.00483605 | − | 0.000253447i | ||||
\(914\) | 5.96999 | − | 28.0866i | 0.197470 | − | 0.929022i | ||||
\(915\) | 15.6291 | − | 66.7969i | 0.516683 | − | 2.20824i | ||||
\(916\) | −100.036 | − | 32.5036i | −3.30528 | − | 1.07395i | ||||
\(917\) | −20.8177 | + | 23.3736i | −0.687459 | + | 0.771863i | ||||
\(918\) | 19.9241 | + | 19.9241i | 0.657593 | + | 0.657593i | ||||
\(919\) | −14.7138 | − | 1.54648i | −0.485363 | − | 0.0510137i | −0.141313 | − | 0.989965i | \(-0.545132\pi\) |
−0.344050 | + | 0.938951i | \(0.611799\pi\) | |||||||
\(920\) | 10.0046 | − | 55.7755i | 0.329842 | − | 1.83886i | ||||
\(921\) | −1.61938 | − | 15.4074i | −0.0533605 | − | 0.507691i | ||||
\(922\) | 0.741208 | + | 1.93091i | 0.0244104 | + | 0.0635912i | ||||
\(923\) | 21.4508 | + | 10.9297i | 0.706061 | + | 0.359756i | ||||
\(924\) | −0.392301 | + | 0.0643132i | −0.0129058 | + | 0.00211575i | ||||
\(925\) | 40.9885 | − | 9.20837i | 1.34769 | − | 0.302769i | ||||
\(926\) | 46.9570 | + | 81.3318i | 1.54310 | + | 2.67273i | ||||
\(927\) | 0.272414 | + | 0.419481i | 0.00894725 | + | 0.0137776i | ||||
\(928\) | −0.0344066 | + | 0.0424886i | −0.00112945 | + | 0.00139476i | ||||
\(929\) | 15.8211 | + | 7.04399i | 0.519072 | + | 0.231106i | 0.649513 | − | 0.760350i | \(-0.274973\pi\) |
−0.130441 | + | 0.991456i | \(0.541639\pi\) | |||||||
\(930\) | −93.1908 | − | 63.2591i | −3.05585 | − | 2.07435i | ||||
\(931\) | −21.6926 | + | 4.85695i | −0.710948 | + | 0.159180i | ||||
\(932\) | 60.3124 | − | 60.3124i | 1.97560 | − | 1.97560i | ||||
\(933\) | 4.69725 | − | 3.80376i | 0.153781 | − | 0.124530i | ||||
\(934\) | −14.5409 | − | 16.1493i | −0.475793 | − | 0.528421i | ||||
\(935\) | −0.151001 | − | 0.217013i | −0.00493826 | − | 0.00709707i | ||||
\(936\) | −24.0884 | − | 21.6893i | −0.787354 | − | 0.708937i | ||||
\(937\) | −29.8820 | + | 15.2256i | −0.976202 | + | 0.497400i | −0.867911 | − | 0.496719i | \(-0.834538\pi\) |
−0.108291 | + | 0.994119i | \(0.534538\pi\) | |||||||
\(938\) | 1.64768 | − | 1.21079i | 0.0537987 | − | 0.0395338i | ||||
\(939\) | 9.50975 | − | 3.08990i | 0.310339 | − | 0.100835i | ||||
\(940\) | 3.38421 | + | 40.0429i | 0.110381 | + | 1.30606i | ||||
\(941\) | −32.3887 | + | 29.1630i | −1.05584 | + | 0.950685i | −0.998862 | − | 0.0476900i | \(-0.984814\pi\) |
−0.0569808 | + | 0.998375i | \(0.518147\pi\) | |||||||
\(942\) | −32.5487 | + | 84.7923i | −1.06049 | + | 2.76268i | ||||
\(943\) | −32.4696 | − | 8.70021i | −1.05736 | − | 0.283318i | ||||
\(944\) | 6.96237 | + | 5.05846i | 0.226606 | + | 0.164639i | ||||
\(945\) | −0.870308 | − | 9.67343i | −0.0283111 | − | 0.314677i | ||||
\(946\) | −0.148300 | + | 0.107746i | −0.00482164 | + | 0.00350312i | ||||
\(947\) | 5.14526 | − | 1.97508i | 0.167199 | − | 0.0641815i | −0.273329 | − | 0.961921i | \(-0.588125\pi\) |
0.440528 | + | 0.897739i | \(0.354791\pi\) | |||||||
\(948\) | 40.3332 | − | 26.1927i | 1.30996 | − | 0.850699i | ||||
\(949\) | 8.87279 | + | 5.12271i | 0.288023 | + | 0.166290i | ||||
\(950\) | 26.1461 | + | 28.3723i | 0.848291 | + | 0.920518i | ||||
\(951\) | − | 47.7071i | − | 1.54701i | ||||||
\(952\) | 58.2080 | + | 63.9470i | 1.88653 | + | 2.07253i | ||||
\(953\) | −6.68823 | − | 1.05931i | −0.216653 | − | 0.0343145i | 0.0471642 | − | 0.998887i | \(-0.484982\pi\) |
−0.263817 | + | 0.964573i | \(0.584982\pi\) | |||||||
\(954\) | −9.83150 | + | 22.0819i | −0.318307 | + | 0.714929i | ||||
\(955\) | −32.6147 | − | 5.85018i | −1.05539 | − | 0.189307i | ||||
\(956\) | 15.2206 | − | 6.77663i | 0.492268 | − | 0.219172i | ||||
\(957\) | 0.000599669 | − | 0.00223799i | 1.93845e−5 | − | 7.23441e-5i | ||||
\(958\) | −2.32607 | + | 0.368413i | −0.0751518 | + | 0.0119029i | ||||
\(959\) | 5.44821 | − | 6.80295i | 0.175932 | − | 0.219679i | ||||
\(960\) | 34.0315 | + | 31.9232i | 1.09836 | + | 1.03032i | ||||
\(961\) | −33.6553 | + | 37.3780i | −1.08565 | + | 1.20574i | ||||
\(962\) | 3.27435 | − | 62.4783i | 0.105569 | − | 2.01438i | ||||
\(963\) | −0.585655 | + | 11.1750i | −0.0188725 | + | 0.360108i | ||||
\(964\) | 0.429016 | − | 0.476471i | 0.0138177 | − | 0.0153461i | ||||
\(965\) | 36.9163 | + | 4.64342i | 1.18838 | + | 0.149477i | ||||
\(966\) | 29.4184 | + | 75.4149i | 0.946523 | + | 2.42644i | ||||
\(967\) | −57.0421 | + | 9.03458i | −1.83435 | + | 0.290533i | −0.975222 | − | 0.221228i | \(-0.928994\pi\) |
−0.859128 | + | 0.511760i | \(0.828994\pi\) | |||||||
\(968\) | −13.1732 | + | 49.1630i | −0.423403 | + | 1.58016i | ||||
\(969\) | 47.1129 | − | 20.9760i | 1.51348 | − | 0.673847i | ||||
\(970\) | 17.6491 | − | 32.9580i | 0.566678 | − | 1.05822i | ||||
\(971\) | −7.98460 | + | 17.9337i | −0.256238 | + | 0.575520i | −0.995160 | − | 0.0982714i | \(-0.968669\pi\) |
0.738922 | + | 0.673791i | \(0.235335\pi\) | |||||||
\(972\) | 75.2723 | + | 11.9220i | 2.41436 | + | 0.382397i | ||||
\(973\) | −11.4613 | − | 3.65554i | −0.367434 | − | 0.117191i | ||||
\(974\) | 84.2473i | 2.69946i | ||||||||
\(975\) | −29.3211 | + | 19.5265i | −0.939028 | + | 0.625347i | ||||
\(976\) | −39.6935 | − | 22.9170i | −1.27056 | − | 0.733556i | ||||
\(977\) | −20.6393 | + | 13.4033i | −0.660309 | + | 0.428810i | −0.830816 | − | 0.556547i | \(-0.812126\pi\) |
0.170507 | + | 0.985356i | \(0.445459\pi\) | |||||||
\(978\) | 48.8534 | − | 18.7531i | 1.56216 | − | 0.599657i | ||||
\(979\) | −0.113351 | + | 0.0823545i | −0.00362272 | + | 0.00263206i | ||||
\(980\) | −2.61359 | − | 61.0557i | −0.0834882 | − | 1.95035i | ||||
\(981\) | −14.2709 | − | 10.3684i | −0.455634 | − | 0.331038i | ||||
\(982\) | 12.0140 | + | 3.21913i | 0.383381 | + | 0.102727i | ||||
\(983\) | 16.0960 | − | 41.9315i | 0.513382 | − | 1.33741i | −0.394775 | − | 0.918778i | \(-0.629177\pi\) |
0.908157 | − | 0.418629i | \(-0.137489\pi\) | |||||||
\(984\) | −48.5243 | + | 43.6915i | −1.54690 | + | 1.39283i | ||||
\(985\) | −18.0051 | + | 29.7662i | −0.573691 | + | 0.948429i | ||||
\(986\) | −0.982717 | + | 0.319304i | −0.0312961 | + | 0.0101687i | ||||
\(987\) | −16.5803 | − | 22.5629i | −0.527756 | − | 0.718186i | ||||
\(988\) | 33.8543 | − | 17.2496i | 1.07705 | − | 0.548784i | ||||
\(989\) | 18.3428 | + | 16.5160i | 0.583268 | + | 0.525177i | ||||
\(990\) | −0.196375 | − | 0.0682666i | −0.00624122 | − | 0.00216966i | ||||
\(991\) | −31.0000 | − | 34.4290i | −0.984747 | − | 1.09367i | −0.995598 | − | 0.0937308i | \(-0.970121\pi\) |
0.0108510 | − | 0.999941i | \(-0.496546\pi\) | |||||||
\(992\) | 6.36332 | − | 5.15291i | 0.202035 | − | 0.163605i | ||||
\(993\) | 25.8356 | − | 25.8356i | 0.819867 | − | 0.819867i | ||||
\(994\) | −50.4211 | + | 2.91623i | −1.59926 | + | 0.0924971i | ||||
\(995\) | −3.49318 | + | 2.71260i | −0.110741 | + | 0.0859952i | ||||
\(996\) | 71.6845 | + | 31.9160i | 2.27141 | + | 1.01130i | ||||
\(997\) | −15.5757 | + | 19.2344i | −0.493286 | + | 0.609158i | −0.961617 | − | 0.274395i | \(-0.911522\pi\) |
0.468331 | + | 0.883553i | \(0.344856\pi\) | |||||||
\(998\) | −48.2129 | − | 74.2414i | −1.52615 | − | 2.35007i | ||||
\(999\) | 6.89686 | + | 11.9457i | 0.218207 | + | 0.377946i |
(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 | 175.2.x.a.108.18 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.857.1 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.857.18 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.143.1 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.33.18 | ✓ | 288 | |
25.3 | odd | 20 | 875.2.bb.c.507.1 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.493.1 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.493.18 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.122.18 | yes | 288 | |
35.12 | even | 12 | 875.2.bb.b.607.18 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.768.1 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.607.1 | 288 | |||
175.47 | even | 60 | inner | 175.2.x.a.47.18 | yes | 288 | |
175.54 | odd | 30 | 875.2.bb.a.243.18 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.243.1 | 288 | |||
175.103 | even | 60 | 875.2.bb.c.257.1 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.18 | ✓ | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.47.18 | yes | 288 | 175.47 | even | 60 | inner | |
175.2.x.a.108.18 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.122.18 | yes | 288 | 25.22 | odd | 20 | inner | |
875.2.bb.a.243.18 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.493.1 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.607.1 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.857.18 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.243.1 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.493.18 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.607.18 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.857.1 | 288 | 5.2 | odd | 4 | |||
875.2.bb.c.143.1 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.257.1 | 288 | 175.103 | even | 60 | |||
875.2.bb.c.507.1 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.768.1 | 288 | 35.19 | odd | 6 |