Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 61.4 | ||
Character | \(\chi\) | \(=\) | 192.61 |
Dual form | 192.2.r.a.85.4 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.796251 | − | 1.16875i | −0.563035 | − | 0.826433i | ||||
\(3\) | 0.195090 | − | 0.980785i | 0.112635 | − | 0.566257i | ||||
\(4\) | −0.731968 | + | 1.86124i | −0.365984 | + | 0.930621i | ||||
\(5\) | 2.41595 | + | 1.61429i | 1.08045 | + | 0.721931i | 0.962552 | − | 0.271095i | \(-0.0873859\pi\) |
0.117893 | + | 0.993026i | \(0.462386\pi\) | |||||||
\(6\) | −1.30164 | + | 0.552939i | −0.531391 | + | 0.225736i | ||||
\(7\) | 1.09455 | − | 0.453379i | 0.413703 | − | 0.171361i | −0.166117 | − | 0.986106i | \(-0.553123\pi\) |
0.579820 | + | 0.814745i | \(0.303123\pi\) | |||||||
\(8\) | 2.75816 | − | 0.626527i | 0.975158 | − | 0.221511i | ||||
\(9\) | −0.923880 | − | 0.382683i | −0.307960 | − | 0.127561i | ||||
\(10\) | −0.0370012 | − | 4.10903i | −0.0117008 | − | 1.29939i | ||||
\(11\) | 5.11927 | − | 1.01829i | 1.54352 | − | 0.307025i | 0.651367 | − | 0.758763i | \(-0.274196\pi\) |
0.892151 | + | 0.451738i | \(0.149196\pi\) | |||||||
\(12\) | 1.68268 | + | 1.08101i | 0.485748 | + | 0.312062i | ||||
\(13\) | −3.73023 | + | 2.49246i | −1.03458 | + | 0.691285i | −0.952250 | − | 0.305320i | \(-0.901236\pi\) |
−0.0823310 | + | 0.996605i | \(0.526236\pi\) | |||||||
\(14\) | −1.40143 | − | 0.918260i | −0.374548 | − | 0.245415i | ||||
\(15\) | 2.05460 | − | 2.05460i | 0.530495 | − | 0.530495i | ||||
\(16\) | −2.92845 | − | 2.72474i | −0.732112 | − | 0.681185i | ||||
\(17\) | −0.516827 | − | 0.516827i | −0.125349 | − | 0.125349i | 0.641649 | − | 0.766998i | \(-0.278250\pi\) |
−0.766998 | + | 0.641649i | \(0.778250\pi\) | |||||||
\(18\) | 0.288378 | + | 1.38450i | 0.0679713 | + | 0.326330i | ||||
\(19\) | −2.92098 | − | 4.37155i | −0.670118 | − | 1.00290i | −0.998300 | − | 0.0582875i | \(-0.981436\pi\) |
0.328182 | − | 0.944614i | \(-0.393564\pi\) | |||||||
\(20\) | −4.77298 | + | 3.31506i | −1.06727 | + | 0.741271i | ||||
\(21\) | −0.231131 | − | 1.16197i | −0.0504369 | − | 0.253563i | ||||
\(22\) | −5.26635 | − | 5.17235i | −1.12279 | − | 1.10275i | ||||
\(23\) | 1.18470 | − | 2.86013i | 0.247028 | − | 0.596378i | −0.750921 | − | 0.660392i | \(-0.770390\pi\) |
0.997949 | + | 0.0640137i | \(0.0203901\pi\) | |||||||
\(24\) | −0.0763975 | − | 2.82740i | −0.0155946 | − | 0.577140i | ||||
\(25\) | 1.31748 | + | 3.18067i | 0.263496 | + | 0.636135i | ||||
\(26\) | 5.88328 | + | 2.37510i | 1.15381 | + | 0.465795i | ||||
\(27\) | −0.555570 | + | 0.831470i | −0.106920 | + | 0.160016i | ||||
\(28\) | 0.0426702 | + | 2.36909i | 0.00806390 | + | 0.447716i | ||||
\(29\) | 0.523666 | + | 0.104164i | 0.0972423 | + | 0.0193427i | 0.243472 | − | 0.969908i | \(-0.421714\pi\) |
−0.146229 | + | 0.989251i | \(0.546714\pi\) | |||||||
\(30\) | −4.03729 | − | 0.765341i | −0.737105 | − | 0.139732i | ||||
\(31\) | 9.33809i | 1.67717i | 0.544770 | + | 0.838585i | \(0.316617\pi\) | ||||
−0.544770 | + | 0.838585i | \(0.683383\pi\) | |||||||
\(32\) | −0.852768 | + | 5.59221i | −0.150750 | + | 0.988572i | ||||
\(33\) | − | 5.21956i | − | 0.908609i | ||||||
\(34\) | −0.192519 | + | 1.01557i | −0.0330167 | + | 0.174168i | ||||
\(35\) | 3.37627 | + | 0.671583i | 0.570694 | + | 0.113518i | ||||
\(36\) | 1.38852 | − | 1.43945i | 0.231419 | − | 0.239909i | ||||
\(37\) | 3.58808 | − | 5.36994i | 0.589876 | − | 0.882812i | −0.409691 | − | 0.912224i | \(-0.634363\pi\) |
0.999567 | + | 0.0294119i | \(0.00936346\pi\) | |||||||
\(38\) | −2.78343 | + | 6.89475i | −0.451532 | + | 1.11848i | ||||
\(39\) | 1.71684 | + | 4.14481i | 0.274914 | + | 0.663701i | ||||
\(40\) | 7.67498 | + | 2.93881i | 1.21352 | + | 0.464666i | ||||
\(41\) | −3.54350 | + | 8.55477i | −0.553402 | + | 1.33603i | 0.361507 | + | 0.932369i | \(0.382262\pi\) |
−0.914909 | + | 0.403661i | \(0.867738\pi\) | |||||||
\(42\) | −1.17402 | + | 1.19536i | −0.181155 | + | 0.184448i | ||||
\(43\) | −0.828267 | − | 4.16398i | −0.126310 | − | 0.635001i | −0.991127 | − | 0.132915i | \(-0.957566\pi\) |
0.864818 | − | 0.502086i | \(-0.167434\pi\) | |||||||
\(44\) | −1.85186 | + | 10.2736i | −0.279179 | + | 1.54880i | ||||
\(45\) | −1.61429 | − | 2.41595i | −0.240644 | − | 0.360149i | ||||
\(46\) | −4.28611 | + | 0.892755i | −0.631952 | + | 0.131630i | ||||
\(47\) | −1.07095 | − | 1.07095i | −0.156214 | − | 0.156214i | 0.624673 | − | 0.780887i | \(-0.285232\pi\) |
−0.780887 | + | 0.624673i | \(0.785232\pi\) | |||||||
\(48\) | −3.24370 | + | 2.34061i | −0.468187 | + | 0.337837i | ||||
\(49\) | −3.95725 | + | 3.95725i | −0.565321 | + | 0.565321i | ||||
\(50\) | 2.66838 | − | 4.07242i | 0.377366 | − | 0.575927i | ||||
\(51\) | −0.607724 | + | 0.406068i | −0.0850984 | + | 0.0568609i | ||||
\(52\) | −1.90867 | − | 8.76727i | −0.264684 | − | 1.21580i | ||||
\(53\) | 3.79893 | − | 0.755654i | 0.521823 | − | 0.103797i | 0.0728510 | − | 0.997343i | \(-0.476790\pi\) |
0.448972 | + | 0.893546i | \(0.351790\pi\) | |||||||
\(54\) | 1.41416 | − | 0.0127343i | 0.192442 | − | 0.00173292i | ||||
\(55\) | 14.0117 | + | 5.80384i | 1.88934 | + | 0.782589i | ||||
\(56\) | 2.73491 | − | 1.93626i | 0.365467 | − | 0.258744i | ||||
\(57\) | −4.85740 | + | 2.01200i | −0.643379 | + | 0.266496i | ||||
\(58\) | −0.295228 | − | 0.694976i | −0.0387653 | − | 0.0912549i | ||||
\(59\) | −10.0034 | − | 6.68404i | −1.30233 | − | 0.870187i | −0.305690 | − | 0.952131i | \(-0.598887\pi\) |
−0.996637 | + | 0.0819436i | \(0.973887\pi\) | |||||||
\(60\) | 2.32020 | + | 5.32800i | 0.299537 | + | 0.687842i | ||||
\(61\) | −2.46666 | + | 12.4007i | −0.315823 | + | 1.58775i | 0.418024 | + | 0.908436i | \(0.362723\pi\) |
−0.733847 | + | 0.679314i | \(0.762277\pi\) | |||||||
\(62\) | 10.9139 | − | 7.43547i | 1.38607 | − | 0.944305i | ||||
\(63\) | −1.18474 | −0.149263 | ||||||||
\(64\) | 7.21493 | − | 3.45613i | 0.901866 | − | 0.432016i | ||||
\(65\) | −13.0356 | −1.61687 | ||||||||
\(66\) | −6.10038 | + | 4.15608i | −0.750905 | + | 0.511578i | ||||
\(67\) | −0.394189 | + | 1.98172i | −0.0481578 | + | 0.242106i | −0.997365 | − | 0.0725458i | \(-0.976888\pi\) |
0.949207 | + | 0.314652i | \(0.101888\pi\) | |||||||
\(68\) | 1.34024 | − | 0.583640i | 0.162528 | − | 0.0707767i | ||||
\(69\) | −2.57405 | − | 1.71992i | −0.309879 | − | 0.207055i | ||||
\(70\) | −1.90345 | − | 4.48078i | −0.227506 | − | 0.535556i | ||||
\(71\) | −0.0704826 | + | 0.0291948i | −0.00836474 | + | 0.00346479i | −0.386862 | − | 0.922138i | \(-0.626441\pi\) |
0.378497 | + | 0.925602i | \(0.376441\pi\) | |||||||
\(72\) | −2.78797 | − | 0.476668i | −0.328566 | − | 0.0561759i | ||||
\(73\) | −10.6599 | − | 4.41547i | −1.24765 | − | 0.516792i | −0.341550 | − | 0.939864i | \(-0.610952\pi\) |
−0.906096 | + | 0.423072i | \(0.860952\pi\) | |||||||
\(74\) | −9.13314 | + | 0.0822428i | −1.06171 | + | 0.00956053i | ||||
\(75\) | 3.37659 | − | 0.671645i | 0.389894 | − | 0.0775548i | ||||
\(76\) | 10.2746 | − | 2.23681i | 1.17857 | − | 0.256580i | ||||
\(77\) | 5.14165 | − | 3.43554i | 0.585945 | − | 0.391516i | ||||
\(78\) | 3.47723 | − | 5.30687i | 0.393719 | − | 0.600885i | ||||
\(79\) | −3.83034 | + | 3.83034i | −0.430947 | + | 0.430947i | −0.888950 | − | 0.458004i | \(-0.848565\pi\) |
0.458004 | + | 0.888950i | \(0.348565\pi\) | |||||||
\(80\) | −2.67647 | − | 11.3102i | −0.299239 | − | 1.26452i | ||||
\(81\) | 0.707107 | + | 0.707107i | 0.0785674 | + | 0.0785674i | ||||
\(82\) | 12.8199 | − | 2.67027i | 1.41572 | − | 0.294882i | ||||
\(83\) | −8.97007 | − | 13.4247i | −0.984593 | − | 1.47355i | −0.877662 | − | 0.479281i | \(-0.840898\pi\) |
−0.106931 | − | 0.994266i | \(-0.534102\pi\) | |||||||
\(84\) | 2.33189 | + | 0.420336i | 0.254430 | + | 0.0458625i | ||||
\(85\) | −0.414322 | − | 2.08294i | −0.0449395 | − | 0.225926i | ||||
\(86\) | −4.20716 | + | 4.28361i | −0.453669 | + | 0.461914i | ||||
\(87\) | 0.204324 | − | 0.493282i | 0.0219059 | − | 0.0528854i | ||||
\(88\) | 13.4818 | − | 6.01596i | 1.43716 | − | 0.641303i | ||||
\(89\) | 5.65060 | + | 13.6417i | 0.598962 | + | 1.44602i | 0.874640 | + | 0.484772i | \(0.161098\pi\) |
−0.275678 | + | 0.961250i | \(0.588902\pi\) | |||||||
\(90\) | −1.53827 | + | 3.81041i | −0.162148 | + | 0.401652i | ||||
\(91\) | −2.95291 | + | 4.41935i | −0.309549 | + | 0.463274i | ||||
\(92\) | 4.45623 | + | 4.29854i | 0.464594 | + | 0.448154i | ||||
\(93\) | 9.15866 | + | 1.82177i | 0.949709 | + | 0.188909i | ||||
\(94\) | −0.398931 | + | 2.10442i | −0.0411466 | + | 0.217055i | ||||
\(95\) | − | 15.2767i | − | 1.56736i | ||||||
\(96\) | 5.31839 | + | 1.92737i | 0.542806 | + | 0.196711i | ||||
\(97\) | − | 3.93894i | − | 0.399939i | −0.979802 | − | 0.199970i | \(-0.935916\pi\) | ||
0.979802 | − | 0.199970i | \(-0.0640843\pi\) | |||||||
\(98\) | 7.77601 | + | 1.47408i | 0.785496 | + | 0.148905i | ||||
\(99\) | −5.11927 | − | 1.01829i | −0.514506 | − | 0.102342i | ||||
\(100\) | −6.88436 | + | 0.123995i | −0.688436 | + | 0.0123995i | ||||
\(101\) | 6.13787 | − | 9.18598i | 0.610741 | − | 0.914039i | −0.389233 | − | 0.921139i | \(-0.627260\pi\) |
0.999975 | + | 0.00710011i | \(0.00226005\pi\) | |||||||
\(102\) | 0.958495 | + | 0.386947i | 0.0949051 | + | 0.0383135i | ||||
\(103\) | 2.83230 | + | 6.83778i | 0.279075 | + | 0.673746i | 0.999811 | − | 0.0194638i | \(-0.00619591\pi\) |
−0.720736 | + | 0.693210i | \(0.756196\pi\) | |||||||
\(104\) | −8.72700 | + | 9.21171i | −0.855753 | + | 0.903283i | ||||
\(105\) | 1.31736 | − | 3.18038i | 0.128561 | − | 0.310373i | ||||
\(106\) | −3.90808 | − | 3.83832i | −0.379586 | − | 0.372811i | ||||
\(107\) | 2.01439 | + | 10.1270i | 0.194738 | + | 0.979016i | 0.947264 | + | 0.320454i | \(0.103835\pi\) |
−0.752526 | + | 0.658563i | \(0.771165\pi\) | |||||||
\(108\) | −1.14091 | − | 1.64266i | −0.109784 | − | 0.158065i | ||||
\(109\) | −8.37442 | − | 12.5332i | −0.802124 | − | 1.20046i | −0.976443 | − | 0.215774i | \(-0.930772\pi\) |
0.174319 | − | 0.984689i | \(-0.444228\pi\) | |||||||
\(110\) | −4.37358 | − | 20.9975i | −0.417005 | − | 2.00204i | ||||
\(111\) | −4.56676 | − | 4.56676i | −0.433457 | − | 0.433457i | ||||
\(112\) | −4.44069 | − | 1.65468i | −0.419605 | − | 0.156352i | ||||
\(113\) | −0.125336 | + | 0.125336i | −0.0117907 | + | 0.0117907i | −0.712978 | − | 0.701187i | \(-0.752654\pi\) |
0.701187 | + | 0.712978i | \(0.252654\pi\) | |||||||
\(114\) | 6.21925 | + | 4.07505i | 0.582486 | + | 0.381663i | ||||
\(115\) | 7.47926 | − | 4.99748i | 0.697444 | − | 0.466017i | ||||
\(116\) | −0.577180 | + | 0.898425i | −0.0535898 | + | 0.0834166i | ||||
\(117\) | 4.40011 | − | 0.875236i | 0.406790 | − | 0.0809156i | ||||
\(118\) | 0.153206 | + | 17.0136i | 0.0141037 | + | 1.56623i | ||||
\(119\) | −0.800014 | − | 0.331377i | −0.0733372 | − | 0.0303773i | ||||
\(120\) | 4.37965 | − | 6.95417i | 0.399806 | − | 0.634826i | ||||
\(121\) | 15.0073 | − | 6.21624i | 1.36430 | − | 0.565113i | ||||
\(122\) | 16.4575 | − | 6.99118i | 1.48999 | − | 0.632952i | ||||
\(123\) | 7.69909 | + | 5.14437i | 0.694203 | + | 0.463852i | ||||
\(124\) | −17.3805 | − | 6.83518i | −1.56081 | − | 0.613818i | ||||
\(125\) | 0.882754 | − | 4.43790i | 0.0789559 | − | 0.396938i | ||||
\(126\) | 0.943349 | + | 1.38467i | 0.0840402 | + | 0.123356i | ||||
\(127\) | −11.1669 | −0.990901 | −0.495450 | − | 0.868636i | \(-0.664997\pi\) | ||||
−0.495450 | + | 0.868636i | \(0.664997\pi\) | |||||||
\(128\) | −9.78426 | − | 5.68052i | −0.864814 | − | 0.502092i | ||||
\(129\) | −4.24556 | −0.373801 | ||||||||
\(130\) | 10.3796 | + | 15.2354i | 0.910353 | + | 1.33623i | ||||
\(131\) | 2.53280 | − | 12.7332i | 0.221292 | − | 1.11251i | −0.697142 | − | 0.716933i | \(-0.745545\pi\) |
0.918433 | − | 0.395576i | \(-0.129455\pi\) | |||||||
\(132\) | 9.71487 | + | 3.82055i | 0.845571 | + | 0.332536i | ||||
\(133\) | −5.17914 | − | 3.46059i | −0.449088 | − | 0.300071i | ||||
\(134\) | 2.63002 | − | 1.11724i | 0.227199 | − | 0.0965147i | ||||
\(135\) | −2.68446 | + | 1.11194i | −0.231042 | + | 0.0957005i | ||||
\(136\) | −1.74930 | − | 1.10169i | −0.150001 | − | 0.0944689i | ||||
\(137\) | 2.23903 | + | 0.927436i | 0.191293 | + | 0.0792362i | 0.476274 | − | 0.879297i | \(-0.341987\pi\) |
−0.284981 | + | 0.958533i | \(0.591987\pi\) | |||||||
\(138\) | 0.0394226 | + | 4.37792i | 0.00335587 | + | 0.372673i | ||||
\(139\) | −2.95706 | + | 0.588197i | −0.250815 | + | 0.0498902i | −0.318896 | − | 0.947790i | \(-0.603312\pi\) |
0.0680815 | + | 0.997680i | \(0.478312\pi\) | |||||||
\(140\) | −3.72130 | + | 5.79249i | −0.314507 | + | 0.489555i | ||||
\(141\) | −1.25930 | + | 0.841440i | −0.106053 | + | 0.0708620i | ||||
\(142\) | 0.0902434 | + | 0.0591303i | 0.00757306 | + | 0.00496210i | ||||
\(143\) | −16.5580 | + | 16.5580i | −1.38465 | + | 1.38465i | ||||
\(144\) | 1.66282 | + | 3.63800i | 0.138568 | + | 0.303167i | ||||
\(145\) | 1.09700 | + | 1.09700i | 0.0911009 | + | 0.0911009i | ||||
\(146\) | 3.32736 | + | 15.9746i | 0.275374 | + | 1.32207i | ||||
\(147\) | 3.10919 | + | 4.65323i | 0.256442 | + | 0.383792i | ||||
\(148\) | 7.36840 | + | 10.6089i | 0.605679 | + | 0.872047i | ||||
\(149\) | 3.75414 | + | 18.8734i | 0.307551 | + | 1.54617i | 0.757334 | + | 0.653027i | \(0.226501\pi\) |
−0.449783 | + | 0.893138i | \(0.648499\pi\) | |||||||
\(150\) | −3.47360 | − | 3.41160i | −0.283618 | − | 0.278556i | ||||
\(151\) | −4.40228 | + | 10.6281i | −0.358253 | + | 0.864899i | 0.637293 | + | 0.770621i | \(0.280054\pi\) |
−0.995546 | + | 0.0942773i | \(0.969946\pi\) | |||||||
\(152\) | −10.7954 | − | 10.2274i | −0.875624 | − | 0.829550i | ||||
\(153\) | 0.279705 | + | 0.675267i | 0.0226128 | + | 0.0545921i | ||||
\(154\) | −8.10934 | − | 3.27377i | −0.653470 | − | 0.263808i | ||||
\(155\) | −15.0744 | + | 22.5604i | −1.21080 | + | 1.81209i | ||||
\(156\) | −8.97117 | + | 0.161582i | −0.718269 | + | 0.0129369i | ||||
\(157\) | 1.73052 | + | 0.344221i | 0.138110 | + | 0.0274719i | 0.263661 | − | 0.964615i | \(-0.415070\pi\) |
−0.125551 | + | 0.992087i | \(0.540070\pi\) | |||||||
\(158\) | 7.52663 | + | 1.42681i | 0.598786 | + | 0.113511i | ||||
\(159\) | − | 3.87336i | − | 0.307177i | ||||||
\(160\) | −11.0877 | + | 12.1339i | −0.876557 | + | 0.959268i | ||||
\(161\) | − | 3.66769i | − | 0.289054i | ||||||
\(162\) | 0.263399 | − | 1.38947i | 0.0206945 | − | 0.109167i | ||||
\(163\) | 7.45340 | + | 1.48257i | 0.583796 | + | 0.116124i | 0.478148 | − | 0.878279i | \(-0.341308\pi\) |
0.105648 | + | 0.994404i | \(0.466308\pi\) | |||||||
\(164\) | −13.3288 | − | 12.8571i | −1.04080 | − | 1.00397i | ||||
\(165\) | 8.42587 | − | 12.6102i | 0.655953 | − | 0.981703i | ||||
\(166\) | −8.54768 | + | 21.1732i | −0.663428 | + | 1.64336i | ||||
\(167\) | −4.28493 | − | 10.3447i | −0.331578 | − | 0.800500i | −0.998467 | − | 0.0553433i | \(-0.982375\pi\) |
0.666889 | − | 0.745157i | \(-0.267625\pi\) | |||||||
\(168\) | −1.36550 | − | 3.06010i | −0.105351 | − | 0.236092i | ||||
\(169\) | 2.72739 | − | 6.58450i | 0.209799 | − | 0.506500i | ||||
\(170\) | −2.10453 | + | 2.14278i | −0.161410 | + | 0.164344i | ||||
\(171\) | 1.02571 | + | 5.15659i | 0.0784380 | + | 0.394335i | ||||
\(172\) | 8.35644 | + | 1.50629i | 0.637173 | + | 0.114854i | ||||
\(173\) | 8.84846 | + | 13.2427i | 0.672736 | + | 1.00682i | 0.998123 | + | 0.0612394i | \(0.0195053\pi\) |
−0.325387 | + | 0.945581i | \(0.605495\pi\) | |||||||
\(174\) | −0.739219 | + | 0.153972i | −0.0560400 | + | 0.0116726i | ||||
\(175\) | 2.88410 | + | 2.88410i | 0.218018 | + | 0.218018i | ||||
\(176\) | −17.7661 | − | 10.9667i | −1.33917 | − | 0.826644i | ||||
\(177\) | −8.50716 | + | 8.50716i | −0.639438 | + | 0.639438i | ||||
\(178\) | 11.4445 | − | 17.4664i | 0.857804 | − | 1.30916i | ||||
\(179\) | 4.13382 | − | 2.76213i | 0.308976 | − | 0.206451i | −0.391408 | − | 0.920217i | \(-0.628012\pi\) |
0.700384 | + | 0.713766i | \(0.253012\pi\) | |||||||
\(180\) | 5.67827 | − | 1.23618i | 0.423234 | − | 0.0921394i | ||||
\(181\) | 21.1385 | − | 4.20472i | 1.57121 | − | 0.312534i | 0.668813 | − | 0.743430i | \(-0.266803\pi\) |
0.902401 | + | 0.430896i | \(0.141803\pi\) | |||||||
\(182\) | 7.51639 | − | 0.0676841i | 0.557152 | − | 0.00501708i | ||||
\(183\) | 11.6812 | + | 4.83852i | 0.863501 | + | 0.357674i | ||||
\(184\) | 1.47566 | − | 8.63095i | 0.108787 | − | 0.636282i | ||||
\(185\) | 17.3372 | − | 7.18132i | 1.27466 | − | 0.527981i | ||||
\(186\) | −5.16340 | − | 12.1548i | −0.378599 | − | 0.891233i | ||||
\(187\) | −3.17205 | − | 2.11950i | −0.231964 | − | 0.154993i | ||||
\(188\) | 2.77720 | − | 1.20940i | 0.202548 | − | 0.0882043i | ||||
\(189\) | −0.231131 | + | 1.16197i | −0.0168123 | + | 0.0845211i | ||||
\(190\) | −17.8547 | + | 12.1641i | −1.29532 | + | 0.882478i | ||||
\(191\) | 10.3424 | 0.748353 | 0.374177 | − | 0.927357i | \(-0.377925\pi\) | ||||
0.374177 | + | 0.927357i | \(0.377925\pi\) | |||||||
\(192\) | −1.98216 | − | 7.75055i | −0.143050 | − | 0.559348i | ||||
\(193\) | 17.5764 | 1.26517 | 0.632587 | − | 0.774489i | \(-0.281993\pi\) | ||||
0.632587 | + | 0.774489i | \(0.281993\pi\) | |||||||
\(194\) | −4.60365 | + | 3.13639i | −0.330523 | + | 0.225180i | ||||
\(195\) | −2.54312 | + | 12.7851i | −0.182117 | + | 0.915562i | ||||
\(196\) | −4.46882 | − | 10.2620i | −0.319202 | − | 0.732999i | ||||
\(197\) | −5.63403 | − | 3.76454i | −0.401408 | − | 0.268212i | 0.338438 | − | 0.940989i | \(-0.390101\pi\) |
−0.739846 | + | 0.672777i | \(0.765101\pi\) | |||||||
\(198\) | 2.88610 | + | 6.79397i | 0.205106 | + | 0.482827i | ||||
\(199\) | −5.40441 | + | 2.23858i | −0.383108 | + | 0.158689i | −0.565922 | − | 0.824459i | \(-0.691480\pi\) |
0.182813 | + | 0.983148i | \(0.441480\pi\) | |||||||
\(200\) | 5.62660 | + | 7.94738i | 0.397861 | + | 0.561965i | ||||
\(201\) | 1.86674 | + | 0.773229i | 0.131670 | + | 0.0545394i | ||||
\(202\) | −15.6234 | + | 0.140687i | −1.09926 | + | 0.00989870i | ||||
\(203\) | 0.620407 | − | 0.123407i | 0.0435440 | − | 0.00866144i | ||||
\(204\) | −0.310957 | − | 1.42835i | −0.0217713 | − | 0.100005i | ||||
\(205\) | −22.3708 | + | 14.9477i | −1.56244 | + | 1.04399i | ||||
\(206\) | 5.73645 | − | 8.75485i | 0.399677 | − | 0.609979i | ||||
\(207\) | −2.18905 | + | 2.18905i | −0.152149 | + | 0.152149i | ||||
\(208\) | 17.7151 | + | 2.86487i | 1.22832 | + | 0.198643i | ||||
\(209\) | −19.4047 | − | 19.4047i | −1.34225 | − | 1.34225i | ||||
\(210\) | −4.76603 | + | 0.992717i | −0.328887 | + | 0.0685040i | ||||
\(211\) | −10.2397 | − | 15.3248i | −0.704931 | − | 1.05500i | −0.995181 | − | 0.0980534i | \(-0.968738\pi\) |
0.290250 | − | 0.956951i | \(-0.406262\pi\) | |||||||
\(212\) | −1.37424 | + | 7.62384i | −0.0943831 | + | 0.523608i | ||||
\(213\) | 0.0148834 | + | 0.0748239i | 0.00101979 | + | 0.00512685i | ||||
\(214\) | 10.2320 | − | 10.4180i | 0.699447 | − | 0.712159i | ||||
\(215\) | 4.72080 | − | 11.3970i | 0.321956 | − | 0.777271i | ||||
\(216\) | −1.01142 | + | 2.64141i | −0.0688181 | + | 0.179725i | ||||
\(217\) | 4.23370 | + | 10.2211i | 0.287402 | + | 0.693850i | ||||
\(218\) | −7.98008 | + | 19.7672i | −0.540479 | + | 1.33880i | ||||
\(219\) | −6.41027 | + | 9.59365i | −0.433166 | + | 0.648279i | ||||
\(220\) | −21.0585 | + | 21.8310i | −1.41976 | + | 1.47184i | ||||
\(221\) | 3.21606 | + | 0.639714i | 0.216335 | + | 0.0430318i | ||||
\(222\) | −1.70113 | + | 8.97370i | −0.114172 | + | 0.602275i | ||||
\(223\) | − | 16.9141i | − | 1.13265i | −0.824181 | − | 0.566326i | \(-0.808364\pi\) | ||
0.824181 | − | 0.566326i | \(-0.191636\pi\) | |||||||
\(224\) | 1.60199 | + | 6.50760i | 0.107037 | + | 0.434808i | ||||
\(225\) | − | 3.44274i | − | 0.229516i | ||||||
\(226\) | 0.246286 | + | 0.0466880i | 0.0163827 | + | 0.00310564i | ||||
\(227\) | 13.5902 | + | 2.70326i | 0.902015 | + | 0.179422i | 0.624248 | − | 0.781227i | \(-0.285406\pi\) |
0.277767 | + | 0.960648i | \(0.410406\pi\) | |||||||
\(228\) | −0.189361 | − | 10.5135i | −0.0125408 | − | 0.696275i | ||||
\(229\) | −7.54671 | + | 11.2944i | −0.498700 | + | 0.746358i | −0.992371 | − | 0.123291i | \(-0.960655\pi\) |
0.493670 | + | 0.869649i | \(0.335655\pi\) | |||||||
\(230\) | −11.7962 | − | 4.76215i | −0.777817 | − | 0.314007i | ||||
\(231\) | −2.36644 | − | 5.71310i | −0.155700 | − | 0.375894i | ||||
\(232\) | 1.50962 | − | 0.0407905i | 0.0991112 | − | 0.00267803i | ||||
\(233\) | 6.82763 | − | 16.4834i | 0.447293 | − | 1.07986i | −0.526039 | − | 0.850460i | \(-0.676323\pi\) |
0.973332 | − | 0.229401i | \(-0.0736766\pi\) | |||||||
\(234\) | −4.52653 | − | 4.44574i | −0.295908 | − | 0.290627i | ||||
\(235\) | −0.858542 | − | 4.31618i | −0.0560051 | − | 0.281557i | ||||
\(236\) | 19.7628 | − | 13.7262i | 1.28645 | − | 0.893499i | ||||
\(237\) | 3.00948 | + | 4.50400i | 0.195486 | + | 0.292566i | ||||
\(238\) | 0.249715 | + | 1.19888i | 0.0161866 | + | 0.0777117i | ||||
\(239\) | 9.36327 | + | 9.36327i | 0.605660 | + | 0.605660i | 0.941809 | − | 0.336149i | \(-0.109125\pi\) |
−0.336149 | + | 0.941809i | \(0.609125\pi\) | |||||||
\(240\) | −11.6150 | + | 0.418536i | −0.749746 | + | 0.0270164i | ||||
\(241\) | 14.2158 | − | 14.2158i | 0.915718 | − | 0.915718i | −0.0809960 | − | 0.996714i | \(-0.525810\pi\) |
0.996714 | + | 0.0809960i | \(0.0258101\pi\) | |||||||
\(242\) | −19.2149 | − | 12.5902i | −1.23518 | − | 0.809327i | ||||
\(243\) | 0.831470 | − | 0.555570i | 0.0533388 | − | 0.0356398i | ||||
\(244\) | −21.2752 | − | 13.6680i | −1.36201 | − | 0.875003i | ||||
\(245\) | −15.9487 | + | 3.17238i | −1.01892 | + | 0.202676i | ||||
\(246\) | −0.117915 | − | 13.0945i | −0.00751796 | − | 0.834877i | ||||
\(247\) | 21.7918 | + | 9.02648i | 1.38658 | + | 0.574341i | ||||
\(248\) | 5.85057 | + | 25.7560i | 0.371511 | + | 1.63551i | ||||
\(249\) | −14.9167 | + | 6.17869i | −0.945306 | + | 0.391558i | ||||
\(250\) | −5.88971 | + | 2.50196i | −0.372498 | + | 0.158238i | ||||
\(251\) | −5.62659 | − | 3.75956i | −0.355147 | − | 0.237302i | 0.365179 | − | 0.930937i | \(-0.381008\pi\) |
−0.720326 | + | 0.693636i | \(0.756008\pi\) | |||||||
\(252\) | 0.867190 | − | 2.20508i | 0.0546278 | − | 0.138907i | ||||
\(253\) | 3.15239 | − | 15.8481i | 0.198189 | − | 0.996364i | ||||
\(254\) | 8.89165 | + | 13.0513i | 0.557912 | + | 0.818914i | ||||
\(255\) | −2.12374 | −0.132994 | ||||||||
\(256\) | 1.15160 | + | 15.9585i | 0.0719747 | + | 0.997406i | ||||
\(257\) | 19.0646 | 1.18922 | 0.594609 | − | 0.804015i | \(-0.297307\pi\) | ||||
0.594609 | + | 0.804015i | \(0.297307\pi\) | |||||||
\(258\) | 3.38053 | + | 4.96201i | 0.210463 | + | 0.308921i | ||||
\(259\) | 1.49273 | − | 7.50445i | 0.0927536 | − | 0.466304i | ||||
\(260\) | 9.54165 | − | 24.2624i | 0.591748 | − | 1.50469i | ||||
\(261\) | −0.443942 | − | 0.296633i | −0.0274793 | − | 0.0183611i | ||||
\(262\) | −16.8988 | + | 7.17865i | −1.04401 | + | 0.443498i | ||||
\(263\) | −1.51777 | + | 0.628681i | −0.0935898 | + | 0.0387662i | −0.428987 | − | 0.903311i | \(-0.641129\pi\) |
0.335397 | + | 0.942077i | \(0.391129\pi\) | |||||||
\(264\) | −3.27020 | − | 14.3964i | −0.201267 | − | 0.886037i | ||||
\(265\) | 10.3979 | + | 4.30694i | 0.638736 | + | 0.264573i | ||||
\(266\) | 0.0793206 | + | 8.80863i | 0.00486346 | + | 0.540092i | ||||
\(267\) | 14.4820 | − | 2.88065i | 0.886284 | − | 0.176293i | ||||
\(268\) | −3.39993 | − | 2.18424i | −0.207684 | − | 0.133424i | ||||
\(269\) | −15.0009 | + | 10.0233i | −0.914622 | + | 0.611131i | −0.921303 | − | 0.388847i | \(-0.872874\pi\) |
0.00668013 | + | 0.999978i | \(0.497874\pi\) | |||||||
\(270\) | 3.43709 | + | 2.25209i | 0.209175 | + | 0.137058i | ||||
\(271\) | −1.07768 | + | 1.07768i | −0.0654641 | + | 0.0654641i | −0.739081 | − | 0.673617i | \(-0.764740\pi\) |
0.673617 | + | 0.739081i | \(0.264740\pi\) | |||||||
\(272\) | 0.105281 | + | 2.92172i | 0.00638363 | + | 0.177155i | ||||
\(273\) | 3.75835 | + | 3.75835i | 0.227465 | + | 0.227465i | ||||
\(274\) | −0.698886 | − | 3.35534i | −0.0422212 | − | 0.202704i | ||||
\(275\) | 9.98336 | + | 14.9412i | 0.602019 | + | 0.900985i | ||||
\(276\) | 5.08532 | − | 3.53200i | 0.306100 | − | 0.212601i | ||||
\(277\) | −2.53645 | − | 12.7516i | −0.152400 | − | 0.766168i | −0.979077 | − | 0.203491i | \(-0.934771\pi\) |
0.826677 | − | 0.562677i | \(-0.190229\pi\) | |||||||
\(278\) | 3.04202 | + | 2.98773i | 0.182448 | + | 0.179192i | ||||
\(279\) | 3.57353 | − | 8.62727i | 0.213942 | − | 0.516501i | ||||
\(280\) | 9.73308 | − | 0.262992i | 0.581663 | − | 0.0157168i | ||||
\(281\) | 8.89914 | + | 21.4844i | 0.530878 | + | 1.28165i | 0.930943 | + | 0.365166i | \(0.118988\pi\) |
−0.400065 | + | 0.916487i | \(0.631012\pi\) | |||||||
\(282\) | 1.98616 | + | 0.801818i | 0.118274 | + | 0.0477476i | ||||
\(283\) | 9.44146 | − | 14.1301i | 0.561237 | − | 0.839950i | −0.436991 | − | 0.899466i | \(-0.643956\pi\) |
0.998227 | + | 0.0595160i | \(0.0189557\pi\) | |||||||
\(284\) | −0.00274769 | − | 0.152555i | −0.000163046 | − | 0.00905246i | ||||
\(285\) | −14.9832 | − | 2.98034i | −0.887528 | − | 0.176540i | ||||
\(286\) | 32.5366 | + | 6.16790i | 1.92393 | + | 0.364715i | ||||
\(287\) | 10.9702i | 0.647551i | ||||||||
\(288\) | 2.92790 | − | 4.84019i | 0.172528 | − | 0.285211i | ||||
\(289\) | − | 16.4658i | − | 0.968575i | ||||||
\(290\) | 0.408635 | − | 2.15561i | 0.0239959 | − | 0.126582i | ||||
\(291\) | −3.86326 | − | 0.768450i | −0.226468 | − | 0.0450473i | ||||
\(292\) | 16.0210 | − | 16.6087i | 0.937556 | − | 0.971949i | ||||
\(293\) | 4.51563 | − | 6.75812i | 0.263806 | − | 0.394813i | −0.675793 | − | 0.737092i | \(-0.736199\pi\) |
0.939599 | + | 0.342278i | \(0.111199\pi\) | |||||||
\(294\) | 2.96278 | − | 7.33902i | 0.172793 | − | 0.428020i | ||||
\(295\) | −13.3777 | − | 32.2966i | −0.778879 | − | 1.88038i | ||||
\(296\) | 6.53209 | − | 17.0592i | 0.379670 | − | 0.991546i | ||||
\(297\) | −1.99744 | + | 4.82225i | −0.115903 | + | 0.279815i | ||||
\(298\) | 19.0690 | − | 19.4156i | 1.10464 | − | 1.12472i | ||||
\(299\) | 2.70954 | + | 13.6218i | 0.156697 | + | 0.787768i | ||||
\(300\) | −1.22146 | + | 6.77627i | −0.0705209 | + | 0.391228i | ||||
\(301\) | −2.79445 | − | 4.18219i | −0.161069 | − | 0.241057i | ||||
\(302\) | 15.9269 | − | 3.31742i | 0.916490 | − | 0.190896i | ||||
\(303\) | −7.81203 | − | 7.81203i | −0.448790 | − | 0.448790i | ||||
\(304\) | −3.35741 | + | 20.7607i | −0.192561 | + | 1.19071i | ||||
\(305\) | −25.9776 | + | 25.9776i | −1.48748 | + | 1.48748i | ||||
\(306\) | 0.566505 | − | 0.864588i | 0.0323849 | − | 0.0494252i | ||||
\(307\) | −21.5889 | + | 14.4252i | −1.23214 | + | 0.823292i | −0.989175 | − | 0.146742i | \(-0.953121\pi\) |
−0.242969 | + | 0.970034i | \(0.578121\pi\) | |||||||
\(308\) | 2.63085 | + | 12.0846i | 0.149907 | + | 0.688582i | ||||
\(309\) | 7.25894 | − | 1.44389i | 0.412947 | − | 0.0821402i | ||||
\(310\) | 38.3705 | − | 0.345521i | 2.17930 | − | 0.0196243i | ||||
\(311\) | −3.61751 | − | 1.49842i | −0.205130 | − | 0.0849678i | 0.277753 | − | 0.960653i | \(-0.410410\pi\) |
−0.482883 | + | 0.875685i | \(0.660410\pi\) | |||||||
\(312\) | 7.33216 | + | 10.3564i | 0.415102 | + | 0.586317i | ||||
\(313\) | −6.92151 | + | 2.86698i | −0.391227 | + | 0.162052i | −0.569621 | − | 0.821908i | \(-0.692910\pi\) |
0.178394 | + | 0.983959i | \(0.442910\pi\) | |||||||
\(314\) | −0.975617 | − | 2.29664i | −0.0550573 | − | 0.129607i | ||||
\(315\) | −2.86227 | − | 1.91251i | −0.161270 | − | 0.107757i | ||||
\(316\) | −4.32550 | − | 9.93287i | −0.243328 | − | 0.558767i | ||||
\(317\) | 4.76778 | − | 23.9692i | 0.267785 | − | 1.34625i | −0.579441 | − | 0.815014i | \(-0.696729\pi\) |
0.847226 | − | 0.531232i | \(-0.178271\pi\) | |||||||
\(318\) | −4.52700 | + | 3.08416i | −0.253861 | + | 0.172951i | ||||
\(319\) | 2.78685 | 0.156034 | ||||||||
\(320\) | 23.0101 | + | 3.29713i | 1.28630 | + | 0.184315i | ||||
\(321\) | 10.3254 | 0.576309 | ||||||||
\(322\) | −4.28662 | + | 2.92040i | −0.238884 | + | 0.162748i | ||||
\(323\) | −0.749695 | + | 3.76897i | −0.0417142 | + | 0.209711i | ||||
\(324\) | −1.83368 | + | 0.798518i | −0.101871 | + | 0.0443621i | ||||
\(325\) | −12.8422 | − | 8.58089i | −0.712358 | − | 0.475982i | ||||
\(326\) | −4.20202 | − | 9.89169i | −0.232728 | − | 0.547850i | ||||
\(327\) | −13.9262 | + | 5.76840i | −0.770118 | + | 0.318993i | ||||
\(328\) | −4.41376 | + | 25.8155i | −0.243709 | + | 1.42542i | ||||
\(329\) | −1.65776 | − | 0.686667i | −0.0913953 | − | 0.0378572i | ||||
\(330\) | −21.4473 | + | 0.193130i | −1.18064 | + | 0.0106315i | ||||
\(331\) | 9.53588 | − | 1.89680i | 0.524139 | − | 0.104258i | 0.0740728 | − | 0.997253i | \(-0.476400\pi\) |
0.450066 | + | 0.892995i | \(0.351400\pi\) | |||||||
\(332\) | 31.5523 | − | 6.86905i | 1.73166 | − | 0.376988i | ||||
\(333\) | −5.36994 | + | 3.58808i | −0.294271 | + | 0.196625i | ||||
\(334\) | −8.67856 | + | 13.2450i | −0.474870 | + | 0.724736i | ||||
\(335\) | −4.15141 | + | 4.15141i | −0.226816 | + | 0.226816i | ||||
\(336\) | −2.48922 | + | 4.03255i | −0.135798 | + | 0.219993i | ||||
\(337\) | −9.94514 | − | 9.94514i | −0.541746 | − | 0.541746i | 0.382294 | − | 0.924041i | \(-0.375134\pi\) |
−0.924041 | + | 0.382294i | \(0.875134\pi\) | |||||||
\(338\) | −9.86735 | + | 2.05527i | −0.536713 | + | 0.111792i | ||||
\(339\) | 0.0984761 | + | 0.147380i | 0.00534849 | + | 0.00800458i | ||||
\(340\) | 4.18012 | + | 0.753489i | 0.226699 | + | 0.0408637i | ||||
\(341\) | 9.50885 | + | 47.8042i | 0.514933 | + | 2.58874i | ||||
\(342\) | 5.21006 | − | 5.30475i | 0.281728 | − | 0.286848i | ||||
\(343\) | −5.71095 | + | 13.7874i | −0.308362 | + | 0.744452i | ||||
\(344\) | −4.89334 | − | 10.9660i | −0.263831 | − | 0.591247i | ||||
\(345\) | −3.44232 | − | 8.31050i | −0.185328 | − | 0.447422i | ||||
\(346\) | 8.43180 | − | 20.8861i | 0.453296 | − | 1.12285i | ||||
\(347\) | −0.240093 | + | 0.359325i | −0.0128889 | + | 0.0192896i | −0.837858 | − | 0.545888i | \(-0.816192\pi\) |
0.824969 | + | 0.565178i | \(0.191192\pi\) | |||||||
\(348\) | 0.768559 | + | 0.741364i | 0.0411991 | + | 0.0397413i | ||||
\(349\) | 19.9217 | + | 3.96268i | 1.06639 | + | 0.212117i | 0.696936 | − | 0.717133i | \(-0.254546\pi\) |
0.369450 | + | 0.929250i | \(0.379546\pi\) | |||||||
\(350\) | 1.07433 | − | 5.66728i | 0.0574256 | − | 0.302929i | ||||
\(351\) | − | 4.48631i | − | 0.239462i | ||||||
\(352\) | 1.32892 | + | 29.4964i | 0.0708315 | + | 1.57216i | ||||
\(353\) | − | 9.26925i | − | 0.493352i | −0.969098 | − | 0.246676i | \(-0.920662\pi\) | ||
0.969098 | − | 0.246676i | \(-0.0793384\pi\) | |||||||
\(354\) | 16.7166 | + | 3.16893i | 0.888478 | + | 0.168427i | ||||
\(355\) | −0.217411 | − | 0.0432458i | −0.0115390 | − | 0.00229525i | ||||
\(356\) | −29.5267 | + | 0.531810i | −1.56491 | + | 0.0281859i | ||||
\(357\) | −0.481084 | + | 0.719994i | −0.0254617 | + | 0.0381061i | ||||
\(358\) | −6.51981 | − | 2.63207i | −0.344583 | − | 0.139109i | ||||
\(359\) | −2.52748 | − | 6.10187i | −0.133395 | − | 0.322044i | 0.843042 | − | 0.537848i | \(-0.180763\pi\) |
−0.976437 | + | 0.215804i | \(0.930763\pi\) | |||||||
\(360\) | −5.96612 | − | 5.65219i | −0.314442 | − | 0.297897i | ||||
\(361\) | −3.30735 | + | 7.98466i | −0.174071 | + | 0.420245i | ||||
\(362\) | −21.7459 | − | 21.3577i | −1.14294 | − | 1.12254i | ||||
\(363\) | −3.16901 | − | 15.9317i | −0.166330 | − | 0.836197i | ||||
\(364\) | −6.06404 | − | 8.73091i | −0.317842 | − | 0.457624i | ||||
\(365\) | −18.6259 | − | 27.8757i | −0.974926 | − | 1.45908i | ||||
\(366\) | −3.64615 | − | 17.5052i | −0.190587 | − | 0.915009i | ||||
\(367\) | 12.1118 | + | 12.1118i | 0.632231 | + | 0.632231i | 0.948627 | − | 0.316396i | \(-0.102473\pi\) |
−0.316396 | + | 0.948627i | \(0.602473\pi\) | |||||||
\(368\) | −11.2624 | + | 5.14773i | −0.587096 | + | 0.268344i | ||||
\(369\) | 6.54754 | − | 6.54754i | 0.340851 | − | 0.340851i | ||||
\(370\) | −22.1980 | − | 14.5448i | −1.15402 | − | 0.756149i | ||||
\(371\) | 3.81554 | − | 2.54946i | 0.198093 | − | 0.132361i | ||||
\(372\) | −10.0946 | + | 15.7130i | −0.523381 | + | 0.814682i | ||||
\(373\) | −27.0116 | + | 5.37294i | −1.39861 | + | 0.278200i | −0.836093 | − | 0.548587i | \(-0.815166\pi\) |
−0.562514 | + | 0.826788i | \(0.690166\pi\) | |||||||
\(374\) | 0.0485813 | + | 5.39500i | 0.00251208 | + | 0.278969i | ||||
\(375\) | −4.18041 | − | 1.73158i | −0.215876 | − | 0.0894186i | ||||
\(376\) | −3.62483 | − | 2.28288i | −0.186937 | − | 0.117730i | ||||
\(377\) | −2.21302 | + | 0.916663i | −0.113976 | + | 0.0472105i | ||||
\(378\) | 1.54210 | − | 0.655088i | 0.0793170 | − | 0.0336941i | ||||
\(379\) | 18.0856 | + | 12.0844i | 0.928995 | + | 0.620735i | 0.925291 | − | 0.379258i | \(-0.123821\pi\) |
0.00370441 | + | 0.999993i | \(0.498821\pi\) | |||||||
\(380\) | 28.4337 | + | 11.1821i | 1.45862 | + | 0.573628i | ||||
\(381\) | −2.17855 | + | 10.9523i | −0.111611 | + | 0.561104i | ||||
\(382\) | −8.23519 | − | 12.0878i | −0.421349 | − | 0.618464i | ||||
\(383\) | 2.66021 | 0.135930 | 0.0679651 | − | 0.997688i | \(-0.478349\pi\) | ||||
0.0679651 | + | 0.997688i | \(0.478349\pi\) | |||||||
\(384\) | −7.48019 | + | 8.48804i | −0.381722 | + | 0.433153i | ||||
\(385\) | 17.9679 | 0.915730 | ||||||||
\(386\) | −13.9952 | − | 20.5424i | −0.712337 | − | 1.04558i | ||||
\(387\) | −0.828267 | + | 4.16398i | −0.0421032 | + | 0.211667i | ||||
\(388\) | 7.33133 | + | 2.88318i | 0.372192 | + | 0.146371i | ||||
\(389\) | 4.82813 | + | 3.22605i | 0.244796 | + | 0.163567i | 0.671916 | − | 0.740628i | \(-0.265472\pi\) |
−0.427120 | + | 0.904195i | \(0.640472\pi\) | |||||||
\(390\) | 16.9676 | − | 7.20790i | 0.859189 | − | 0.364986i | ||||
\(391\) | −2.09048 | + | 0.865905i | −0.105720 | + | 0.0437907i | ||||
\(392\) | −8.43542 | + | 13.3941i | −0.426053 | + | 0.676502i | ||||
\(393\) | −11.9945 | − | 4.96827i | −0.605040 | − | 0.250616i | ||||
\(394\) | 0.0862874 | + | 9.58230i | 0.00434709 | + | 0.482749i | ||||
\(395\) | −15.4372 | + | 3.07064i | −0.776728 | + | 0.154501i | ||||
\(396\) | 5.64242 | − | 8.78285i | 0.283542 | − | 0.441355i | ||||
\(397\) | −28.1488 | + | 18.8084i | −1.41275 | + | 0.943969i | −0.413306 | + | 0.910592i | \(0.635626\pi\) |
−0.999443 | + | 0.0333765i | \(0.989374\pi\) | |||||||
\(398\) | 6.91961 | + | 4.53395i | 0.346849 | + | 0.227266i | ||||
\(399\) | −4.40449 | + | 4.40449i | −0.220501 | + | 0.220501i | ||||
\(400\) | 4.80834 | − | 12.9042i | 0.240417 | − | 0.645211i | ||||
\(401\) | 9.71914 | + | 9.71914i | 0.485350 | + | 0.485350i | 0.906835 | − | 0.421485i | \(-0.138491\pi\) |
−0.421485 | + | 0.906835i | \(0.638491\pi\) | |||||||
\(402\) | −0.582680 | − | 2.79744i | −0.0290615 | − | 0.139524i | ||||
\(403\) | −23.2748 | − | 34.8333i | −1.15940 | − | 1.73517i | ||||
\(404\) | 12.6046 | + | 18.1479i | 0.627103 | + | 0.902892i | ||||
\(405\) | 0.566862 | + | 2.84981i | 0.0281676 | + | 0.141608i | ||||
\(406\) | −0.638231 | − | 0.626839i | −0.0316749 | − | 0.0311095i | ||||
\(407\) | 12.9002 | − | 31.1438i | 0.639439 | − | 1.54374i | ||||
\(408\) | −1.42179 | + | 1.50076i | −0.0703891 | + | 0.0742986i | ||||
\(409\) | −2.47741 | − | 5.98100i | −0.122500 | − | 0.295742i | 0.850719 | − | 0.525621i | \(-0.176167\pi\) |
−0.973219 | + | 0.229879i | \(0.926167\pi\) | |||||||
\(410\) | 35.2829 | + | 14.2438i | 1.74250 | + | 0.703451i | ||||
\(411\) | 1.34643 | − | 2.01507i | 0.0664144 | − | 0.0993962i | ||||
\(412\) | −14.7999 | + | 0.266564i | −0.729139 | + | 0.0131327i | ||||
\(413\) | −13.9796 | − | 2.78072i | −0.687893 | − | 0.136830i | ||||
\(414\) | 4.30149 | + | 0.815425i | 0.211407 | + | 0.0400759i | ||||
\(415\) | − | 46.9135i | − | 2.30290i | ||||||
\(416\) | −10.7573 | − | 22.9857i | −0.527422 | − | 1.12697i | ||||
\(417\) | 3.01500i | 0.147645i | ||||||||
\(418\) | −7.22830 | + | 38.1304i | −0.353548 | + | 1.86502i | ||||
\(419\) | 14.4757 | + | 2.87940i | 0.707184 | + | 0.140668i | 0.535563 | − | 0.844495i | \(-0.320099\pi\) |
0.171621 | + | 0.985163i | \(0.445099\pi\) | |||||||
\(420\) | 4.95520 | + | 4.77986i | 0.241789 | + | 0.233233i | ||||
\(421\) | −11.6193 | + | 17.3895i | −0.566290 | + | 0.847513i | −0.998528 | − | 0.0542468i | \(-0.982724\pi\) |
0.432237 | + | 0.901760i | \(0.357724\pi\) | |||||||
\(422\) | −9.75754 | + | 24.1701i | −0.474990 | + | 1.17658i | ||||
\(423\) | 0.579594 | + | 1.39926i | 0.0281808 | + | 0.0680345i | ||||
\(424\) | 10.0046 | − | 4.46435i | 0.485868 | − | 0.216808i | ||||
\(425\) | 0.962950 | − | 2.32477i | 0.0467099 | − | 0.112768i | ||||
\(426\) | 0.0755997 | − | 0.0769736i | 0.00366282 | − | 0.00372938i | ||||
\(427\) | 2.92234 | + | 14.6916i | 0.141422 | + | 0.710977i | ||||
\(428\) | −20.3233 | − | 3.66339i | −0.982365 | − | 0.177076i | ||||
\(429\) | 13.0096 | + | 19.4702i | 0.628107 | + | 0.940029i | ||||
\(430\) | −17.0793 | + | 3.55745i | −0.823635 | + | 0.171555i | ||||
\(431\) | −1.71192 | − | 1.71192i | −0.0824605 | − | 0.0824605i | 0.664673 | − | 0.747134i | \(-0.268571\pi\) |
−0.747134 | + | 0.664673i | \(0.768571\pi\) | |||||||
\(432\) | 3.89250 | − | 0.921130i | 0.187278 | − | 0.0443179i | ||||
\(433\) | −14.2129 | + | 14.2129i | −0.683030 | + | 0.683030i | −0.960682 | − | 0.277652i | \(-0.910444\pi\) |
0.277652 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(434\) | 8.57480 | − | 13.0867i | 0.411604 | − | 0.628180i | ||||
\(435\) | 1.28994 | − | 0.861908i | 0.0618477 | − | 0.0413253i | ||||
\(436\) | 29.4571 | − | 6.41292i | 1.41074 | − | 0.307123i | ||||
\(437\) | −15.9637 | + | 3.17537i | −0.763647 | + | 0.151899i | ||||
\(438\) | 16.3168 | − | 0.146931i | 0.779647 | − | 0.00702062i | ||||
\(439\) | −9.27423 | − | 3.84151i | −0.442635 | − | 0.183345i | 0.150224 | − | 0.988652i | \(-0.452001\pi\) |
−0.592858 | + | 0.805307i | \(0.702001\pi\) | |||||||
\(440\) | 42.2828 | + | 7.22922i | 2.01575 | + | 0.344640i | ||||
\(441\) | 5.17040 | − | 2.14165i | 0.246209 | − | 0.101983i | ||||
\(442\) | −1.81312 | − | 4.26815i | −0.0862414 | − | 0.203015i | ||||
\(443\) | 25.2331 | + | 16.8602i | 1.19886 | + | 0.801052i | 0.984445 | − | 0.175690i | \(-0.0562158\pi\) |
0.214414 | + | 0.976743i | \(0.431216\pi\) | |||||||
\(444\) | 11.8426 | − | 5.15712i | 0.562023 | − | 0.244746i | ||||
\(445\) | −8.37013 | + | 42.0795i | −0.396782 | + | 1.99476i | ||||
\(446\) | −19.7684 | + | 13.4679i | −0.936062 | + | 0.637723i | ||||
\(447\) | 19.2431 | 0.910168 | ||||||||
\(448\) | 6.33020 | − | 7.05402i | 0.299074 | − | 0.333271i | ||||
\(449\) | −22.4612 | −1.06001 | −0.530004 | − | 0.847995i | \(-0.677810\pi\) | ||||
−0.530004 | + | 0.847995i | \(0.677810\pi\) | |||||||
\(450\) | −4.02371 | + | 2.74128i | −0.189679 | + | 0.129225i | ||||
\(451\) | −9.42893 | + | 47.4024i | −0.443991 | + | 2.23209i | ||||
\(452\) | −0.141539 | − | 0.325023i | −0.00665744 | − | 0.0152878i | ||||
\(453\) | 9.56500 | + | 6.39113i | 0.449403 | + | 0.300281i | ||||
\(454\) | −7.66178 | − | 18.0361i | −0.359585 | − | 0.846476i | ||||
\(455\) | −14.2682 | + | 5.91008i | −0.668903 | + | 0.277069i | ||||
\(456\) | −12.1369 | + | 8.59273i | −0.568364 | + | 0.402391i | ||||
\(457\) | −14.0279 | − | 5.81056i | −0.656199 | − | 0.271807i | 0.0296390 | − | 0.999561i | \(-0.490564\pi\) |
−0.685838 | + | 0.727754i | \(0.740564\pi\) | |||||||
\(458\) | 19.2095 | − | 0.172979i | 0.897601 | − | 0.00808278i | ||||
\(459\) | 0.716860 | − | 0.142592i | 0.0334601 | − | 0.00665564i | ||||
\(460\) | 3.82694 | + | 17.5787i | 0.178432 | + | 0.819611i | ||||
\(461\) | 13.7189 | − | 9.16667i | 0.638952 | − | 0.426934i | −0.193447 | − | 0.981111i | \(-0.561967\pi\) |
0.832399 | + | 0.554176i | \(0.186967\pi\) | |||||||
\(462\) | −4.79292 | + | 7.31485i | −0.222987 | + | 0.340317i | ||||
\(463\) | 1.45697 | − | 1.45697i | 0.0677111 | − | 0.0677111i | −0.672440 | − | 0.740151i | \(-0.734754\pi\) |
0.740151 | + | 0.672440i | \(0.234754\pi\) | |||||||
\(464\) | −1.24971 | − | 1.73189i | −0.0580163 | − | 0.0804010i | ||||
\(465\) | 19.1860 | + | 19.1860i | 0.889730 | + | 0.889730i | ||||
\(466\) | −24.7015 | + | 5.14508i | −1.14427 | + | 0.238341i | ||||
\(467\) | 20.1469 | + | 30.1520i | 0.932288 | + | 1.39527i | 0.918525 | + | 0.395362i | \(0.129381\pi\) |
0.0137628 | + | 0.999905i | \(0.495619\pi\) | |||||||
\(468\) | −1.59171 | + | 8.83032i | −0.0735769 | + | 0.408182i | ||||
\(469\) | 0.467010 | + | 2.34782i | 0.0215645 | + | 0.108412i | ||||
\(470\) | −4.36094 | + | 4.44019i | −0.201155 | + | 0.204811i | ||||
\(471\) | 0.675215 | − | 1.63011i | 0.0311123 | − | 0.0751116i | ||||
\(472\) | −31.7786 | − | 12.1683i | −1.46273 | − | 0.560091i | ||||
\(473\) | −8.48025 | − | 20.4731i | −0.389922 | − | 0.941355i | ||||
\(474\) | 2.86776 | − | 7.10365i | 0.131721 | − | 0.326281i | ||||
\(475\) | 10.0561 | − | 15.0501i | 0.461408 | − | 0.690545i | ||||
\(476\) | 1.20236 | − | 1.24646i | 0.0551099 | − | 0.0571315i | ||||
\(477\) | −3.79893 | − | 0.755654i | −0.173941 | − | 0.0345990i | ||||
\(478\) | 3.48784 | − | 18.3989i | 0.159530 | − | 0.841545i | ||||
\(479\) | − | 15.3044i | − | 0.699276i | −0.936885 | − | 0.349638i | \(-0.886305\pi\) | ||
0.936885 | − | 0.349638i | \(-0.113695\pi\) | |||||||
\(480\) | 9.73764 | + | 13.2418i | 0.444460 | + | 0.604404i | ||||
\(481\) | 28.9743i | 1.32111i | ||||||||
\(482\) | −27.9341 | − | 5.29540i | −1.27236 | − | 0.241199i | ||||
\(483\) | −3.59722 | − | 0.715531i | −0.163679 | − | 0.0325578i | ||||
\(484\) | 0.585046 | + | 32.4824i | 0.0265930 | + | 1.47647i | ||||
\(485\) | 6.35858 | − | 9.51629i | 0.288728 | − | 0.432113i | ||||
\(486\) | −1.31138 | − | 0.529409i | −0.0594855 | − | 0.0240145i | ||||
\(487\) | 6.14813 | + | 14.8429i | 0.278599 | + | 0.672596i | 0.999797 | − | 0.0201317i | \(-0.00640856\pi\) |
−0.721199 | + | 0.692728i | \(0.756409\pi\) | |||||||
\(488\) | 0.965945 | + | 35.7486i | 0.0437263 | + | 1.61827i | ||||
\(489\) | 2.90817 | − | 7.02095i | 0.131512 | − | 0.317499i | ||||
\(490\) | 16.4069 | + | 16.1140i | 0.741187 | + | 0.727957i | ||||
\(491\) | −6.85615 | − | 34.4682i | −0.309414 | − | 1.55553i | −0.752221 | − | 0.658911i | \(-0.771017\pi\) |
0.442807 | − | 0.896617i | \(-0.353983\pi\) | |||||||
\(492\) | −15.2104 | + | 10.5644i | −0.685738 | + | 0.476278i | ||||
\(493\) | −0.216810 | − | 0.324479i | −0.00976463 | − | 0.0146138i | ||||
\(494\) | −6.80206 | − | 32.6566i | −0.306039 | − | 1.46929i | ||||
\(495\) | −10.7241 | − | 10.7241i | −0.482012 | − | 0.482012i | ||||
\(496\) | 25.4439 | − | 27.3461i | 1.14246 | − | 1.22788i | ||||
\(497\) | −0.0639107 | + | 0.0639107i | −0.00286679 | + | 0.00286679i | ||||
\(498\) | 19.0988 | + | 12.5141i | 0.855837 | + | 0.560771i | ||||
\(499\) | 25.6635 | − | 17.1478i | 1.14885 | − | 0.767640i | 0.172756 | − | 0.984965i | \(-0.444733\pi\) |
0.976099 | + | 0.217324i | \(0.0697330\pi\) | |||||||
\(500\) | 7.61386 | + | 4.89142i | 0.340502 | + | 0.218751i | ||||
\(501\) | −10.9819 | + | 2.18444i | −0.490636 | + | 0.0975935i | ||||
\(502\) | 0.0861734 | + | 9.56965i | 0.00384611 | + | 0.427114i | ||||
\(503\) | −14.1932 | − | 5.87903i | −0.632845 | − | 0.262133i | 0.0431164 | − | 0.999070i | \(-0.486271\pi\) |
−0.675961 | + | 0.736937i | \(0.736271\pi\) | |||||||
\(504\) | −3.26770 | + | 0.742270i | −0.145555 | + | 0.0330633i | ||||
\(505\) | 29.6576 | − | 12.2846i | 1.31975 | − | 0.546657i | ||||
\(506\) | −21.0327 | + | 8.93473i | −0.935016 | + | 0.397197i | ||||
\(507\) | −5.92590 | − | 3.95956i | −0.263178 | − | 0.175850i | ||||
\(508\) | 8.17380 | − | 20.7843i | 0.362654 | − | 0.922153i | ||||
\(509\) | 3.56893 | − | 17.9422i | 0.158190 | − | 0.795275i | −0.817467 | − | 0.575975i | \(-0.804623\pi\) |
0.975657 | − | 0.219300i | \(-0.0703774\pi\) | |||||||
\(510\) | 1.69103 | + | 2.48213i | 0.0748802 | + | 0.109911i | ||||
\(511\) | −13.6697 | −0.604713 | ||||||||
\(512\) | 17.7346 | − | 14.0529i | 0.783766 | − | 0.621057i | ||||
\(513\) | 5.25762 | 0.232129 | ||||||||
\(514\) | −15.1802 | − | 22.2818i | −0.669571 | − | 0.982809i | ||||
\(515\) | −4.19543 | + | 21.0919i | −0.184873 | + | 0.929419i | ||||
\(516\) | 3.10761 | − | 7.90201i | 0.136805 | − | 0.347867i | ||||
\(517\) | −6.57302 | − | 4.39195i | −0.289081 | − | 0.193158i | ||||
\(518\) | −9.95944 | + | 4.23080i | −0.437593 | + | 0.185891i | ||||
\(519\) | 14.7144 | − | 6.09492i | 0.645893 | − | 0.267537i | ||||
\(520\) | −35.9543 | + | 8.16716i | −1.57670 | + | 0.358154i | ||||
\(521\) | −8.89269 | − | 3.68347i | −0.389596 | − | 0.161376i | 0.179282 | − | 0.983798i | \(-0.442622\pi\) |
−0.568878 | + | 0.822422i | \(0.692622\pi\) | |||||||
\(522\) | 0.00679916 | + | 0.755053i | 0.000297591 | + | 0.0330478i | ||||
\(523\) | 31.2067 | − | 6.20740i | 1.36457 | − | 0.271430i | 0.542138 | − | 0.840289i | \(-0.317615\pi\) |
0.822435 | + | 0.568859i | \(0.192615\pi\) | |||||||
\(524\) | 21.8457 | + | 14.0345i | 0.954335 | + | 0.613099i | ||||
\(525\) | 3.39135 | − | 2.26603i | 0.148011 | − | 0.0988975i | ||||
\(526\) | 1.94330 | + | 1.27331i | 0.0847319 | + | 0.0555190i | ||||
\(527\) | 4.82618 | − | 4.82618i | 0.210232 | − | 0.210232i | ||||
\(528\) | −14.2219 | + | 15.2852i | −0.618931 | + | 0.665203i | ||||
\(529\) | 9.48664 | + | 9.48664i | 0.412463 | + | 0.412463i | ||||
\(530\) | −3.24557 | − | 15.5819i | −0.140978 | − | 0.676836i | ||||
\(531\) | 6.68404 | + | 10.0034i | 0.290062 | + | 0.434109i | ||||
\(532\) | 10.2320 | − | 7.10659i | 0.443612 | − | 0.308110i | ||||
\(533\) | −8.10435 | − | 40.7433i | −0.351038 | − | 1.76479i | ||||
\(534\) | −14.8981 | − | 14.6322i | −0.644703 | − | 0.633196i | ||||
\(535\) | −11.4813 | + | 27.7182i | −0.496378 | + | 1.19836i | ||||
\(536\) | 0.154365 | + | 5.71288i | 0.00666754 | + | 0.246759i | ||||
\(537\) | −1.90259 | − | 4.59326i | −0.0821028 | − | 0.198214i | ||||
\(538\) | 23.6593 | + | 9.55131i | 1.02002 | + | 0.411786i | ||||
\(539\) | −16.2286 | + | 24.2878i | −0.699016 | + | 1.04615i | ||||
\(540\) | −0.104651 | − | 5.81034i | −0.00450347 | − | 0.250037i | ||||
\(541\) | 43.9467 | + | 8.74155i | 1.88942 | + | 0.375829i | 0.997135 | − | 0.0756471i | \(-0.0241022\pi\) |
0.892283 | + | 0.451476i | \(0.149102\pi\) | |||||||
\(542\) | 2.11764 | + | 0.401436i | 0.0909603 | + | 0.0172432i | ||||
\(543\) | − | 21.5527i | − | 0.924913i | ||||||
\(544\) | 3.33094 | − | 2.44947i | 0.142813 | − | 0.105020i | ||||
\(545\) | − | 43.7983i | − | 1.87611i | ||||||
\(546\) | 1.39999 | − | 7.38517i | 0.0599141 | − | 0.316056i | ||||
\(547\) | −4.26116 | − | 0.847597i | −0.182194 | − | 0.0362406i | 0.103150 | − | 0.994666i | \(-0.467108\pi\) |
−0.285344 | + | 0.958425i | \(0.592108\pi\) | |||||||
\(548\) | −3.36508 | + | 3.48852i | −0.143749 | + | 0.149022i | ||||
\(549\) | 7.02445 | − | 10.5128i | 0.299796 | − | 0.448677i | ||||
\(550\) | 9.51326 | − | 23.5650i | 0.405647 | − | 1.00481i | ||||
\(551\) | −1.07426 | − | 2.59349i | −0.0457650 | − | 0.110486i | ||||
\(552\) | −8.17723 | − | 3.13112i | −0.348046 | − | 0.133269i | ||||
\(553\) | −2.45592 | + | 5.92911i | −0.104436 | + | 0.252131i | ||||
\(554\) | −12.8838 | + | 13.1179i | −0.547380 | + | 0.557328i | ||||
\(555\) | −3.66100 | − | 18.4051i | −0.155401 | − | 0.781254i | ||||
\(556\) | 1.06970 | − | 5.93435i | 0.0453654 | − | 0.251673i | ||||
\(557\) | −2.86872 | − | 4.29334i | −0.121551 | − | 0.181915i | 0.765704 | − | 0.643193i | \(-0.222391\pi\) |
−0.887255 | + | 0.461279i | \(0.847391\pi\) | |||||||
\(558\) | −12.9286 | + | 2.69290i | −0.547310 | + | 0.113999i | ||||
\(559\) | 13.4682 | + | 13.4682i | 0.569644 | + | 0.569644i | ||||
\(560\) | −8.05735 | − | 11.1662i | −0.340485 | − | 0.471856i | ||||
\(561\) | −2.69761 | + | 2.69761i | −0.113893 | + | 0.113893i | ||||
\(562\) | 18.0240 | − | 27.5079i | 0.760298 | − | 1.16035i | ||||
\(563\) | 30.5462 | − | 20.4103i | 1.28737 | − | 0.860193i | 0.292010 | − | 0.956415i | \(-0.405676\pi\) |
0.995360 | + | 0.0962225i | \(0.0306760\pi\) | |||||||
\(564\) | −0.644354 | − | 2.95978i | −0.0271322 | − | 0.124629i | ||||
\(565\) | −0.505135 | + | 0.100478i | −0.0212512 | + | 0.00422712i | ||||
\(566\) | −24.0324 | + | 0.216409i | −1.01016 | + | 0.00909634i | ||||
\(567\) | 1.09455 | + | 0.453379i | 0.0459670 | + | 0.0190401i | ||||
\(568\) | −0.176111 | + | 0.124683i | −0.00738946 | + | 0.00523160i | ||||
\(569\) | −16.8518 | + | 6.98026i | −0.706466 | + | 0.292628i | −0.706841 | − | 0.707372i | \(-0.749880\pi\) |
0.000375543 | 1.00000i | \(0.499880\pi\) | ||||||||
\(570\) | 8.44710 | + | 19.8848i | 0.353810 | + | 0.832881i | ||||
\(571\) | −17.3358 | − | 11.5834i | −0.725482 | − | 0.484752i | 0.137171 | − | 0.990547i | \(-0.456199\pi\) |
−0.862653 | + | 0.505796i | \(0.831199\pi\) | |||||||
\(572\) | −18.6986 | − | 42.9385i | −0.781826 | − | 1.79535i | ||||
\(573\) | 2.01771 | − | 10.1437i | 0.0842911 | − | 0.423760i | ||||
\(574\) | 12.8215 | − | 8.73504i | 0.535158 | − | 0.364594i | ||||
\(575\) | 10.6580 | 0.444468 | ||||||||
\(576\) | −7.98833 | + | 0.432012i | −0.332847 | + | 0.0180005i | ||||
\(577\) | −0.646088 | −0.0268970 | −0.0134485 | − | 0.999910i | \(-0.504281\pi\) | ||||
−0.0134485 | + | 0.999910i | \(0.504281\pi\) | |||||||
\(578\) | −19.2444 | + | 13.1109i | −0.800463 | + | 0.545341i | ||||
\(579\) | 3.42898 | − | 17.2386i | 0.142504 | − | 0.716413i | ||||
\(580\) | −2.84475 | + | 1.23881i | −0.118122 | + | 0.0514390i | ||||
\(581\) | −15.9047 | − | 10.6272i | −0.659838 | − | 0.440889i | ||||
\(582\) | 2.17800 | + | 5.12708i | 0.0902809 | + | 0.212524i | ||||
\(583\) | 18.6783 | − | 7.73679i | 0.773575 | − | 0.320425i | ||||
\(584\) | −32.1681 | − | 5.49988i | −1.33113 | − | 0.227587i | ||||
\(585\) | 12.0433 | + | 4.98851i | 0.497930 | + | 0.206250i | ||||
\(586\) | −11.4941 | + | 0.103503i | −0.474819 | + | 0.00427568i | ||||
\(587\) | 4.65120 | − | 0.925181i | 0.191975 | − | 0.0381863i | −0.0981660 | − | 0.995170i | \(-0.531298\pi\) |
0.290142 | + | 0.956984i | \(0.406298\pi\) | |||||||
\(588\) | −10.9366 | + | 2.38094i | −0.451019 | + | 0.0981884i | ||||
\(589\) | 40.8219 | − | 27.2763i | 1.68204 | − | 1.12390i | ||||
\(590\) | −27.0947 | + | 41.3514i | −1.11547 | + | 1.70241i | ||||
\(591\) | −4.79135 | + | 4.79135i | −0.197090 | + | 0.197090i | ||||
\(592\) | −25.1392 | + | 5.94900i | −1.03321 | + | 0.244502i | ||||
\(593\) | 16.9541 | + | 16.9541i | 0.696222 | + | 0.696222i | 0.963594 | − | 0.267371i | \(-0.0861550\pi\) |
−0.267371 | + | 0.963594i | \(0.586155\pi\) | |||||||
\(594\) | 7.22648 | − | 1.50521i | 0.296506 | − | 0.0617593i | ||||
\(595\) | −1.39786 | − | 2.09204i | −0.0573066 | − | 0.0857653i | ||||
\(596\) | −37.8758 | − | 6.82732i | −1.55145 | − | 0.279658i | ||||
\(597\) | 1.14122 | + | 5.73729i | 0.0467069 | + | 0.234812i | ||||
\(598\) | 13.7630 | − | 14.0131i | 0.562812 | − | 0.573040i | ||||
\(599\) | −12.1127 | + | 29.2425i | −0.494910 | + | 1.19482i | 0.457283 | + | 0.889321i | \(0.348823\pi\) |
−0.952193 | + | 0.305497i | \(0.901177\pi\) | |||||||
\(600\) | 8.89237 | − | 3.96803i | 0.363029 | − | 0.161994i | ||||
\(601\) | 7.37520 | + | 17.8053i | 0.300841 | + | 0.726294i | 0.999937 | + | 0.0112656i | \(0.00358604\pi\) |
−0.699096 | + | 0.715028i | \(0.746414\pi\) | |||||||
\(602\) | −2.66286 | + | 6.59609i | −0.108530 | + | 0.268837i | ||||
\(603\) | 1.12255 | − | 1.68002i | 0.0457140 | − | 0.0684158i | ||||
\(604\) | −16.5591 | − | 15.9731i | −0.673778 | − | 0.649937i | ||||
\(605\) | 46.2918 | + | 9.20800i | 1.88203 | + | 0.374359i | ||||
\(606\) | −2.91000 | + | 15.3507i | −0.118211 | + | 0.623579i | ||||
\(607\) | 32.3153i | 1.31164i | 0.754918 | + | 0.655819i | \(0.227677\pi\) | ||||
−0.754918 | + | 0.655819i | \(0.772323\pi\) | |||||||
\(608\) | 26.9375 | − | 12.6068i | 1.09246 | − | 0.511273i | ||||
\(609\) | − | 0.632561i | − | 0.0256327i | ||||||
\(610\) | 51.0462 | + | 9.67672i | 2.06680 | + | 0.391799i | ||||
\(611\) | 6.66420 | + | 1.32559i | 0.269605 | + | 0.0536277i | ||||
\(612\) | −1.46157 | + | 0.0263246i | −0.0590805 | + | 0.00106411i | ||||
\(613\) | 6.67389 | − | 9.98819i | 0.269556 | − | 0.403419i | −0.671854 | − | 0.740684i | \(-0.734502\pi\) |
0.941410 | + | 0.337265i | \(0.109502\pi\) | |||||||
\(614\) | 34.0497 | + | 13.7460i | 1.37414 | + | 0.554742i | ||||
\(615\) | 10.2961 | + | 24.8571i | 0.415180 | + | 1.00233i | ||||
\(616\) | 12.0291 | − | 12.6972i | 0.484664 | − | 0.511583i | ||||
\(617\) | 7.44235 | − | 17.9674i | 0.299618 | − | 0.723341i | −0.700337 | − | 0.713812i | \(-0.746967\pi\) |
0.999955 | − | 0.00952845i | \(-0.00303304\pi\) | |||||||
\(618\) | −7.46750 | − | 7.33421i | −0.300387 | − | 0.295025i | ||||
\(619\) | −2.22424 | − | 11.1820i | −0.0893998 | − | 0.449443i | −0.999394 | − | 0.0348213i | \(-0.988914\pi\) |
0.909994 | − | 0.414622i | \(-0.136086\pi\) | |||||||
\(620\) | −30.9564 | − | 44.5705i | −1.24324 | − | 1.78999i | ||||
\(621\) | 1.71992 | + | 2.57405i | 0.0690182 | + | 0.103293i | ||||
\(622\) | 1.12916 | + | 5.42110i | 0.0452753 | + | 0.217366i | ||||
\(623\) | 12.3698 | + | 12.3698i | 0.495585 | + | 0.495585i | ||||
\(624\) | 6.26587 | − | 16.8158i | 0.250835 | − | 0.673171i | ||||
\(625\) | 21.4686 | − | 21.4686i | 0.858746 | − | 0.858746i | ||||
\(626\) | 8.86206 | + | 5.80670i | 0.354199 | + | 0.232082i | ||||
\(627\) | −22.8176 | + | 15.2462i | −0.911246 | + | 0.608875i | ||||
\(628\) | −1.90736 | + | 2.96895i | −0.0761121 | + | 0.118474i | ||||
\(629\) | −4.62974 | + | 0.920913i | −0.184600 | + | 0.0367192i | ||||
\(630\) | 0.0438368 | + | 4.86812i | 0.00174650 | + | 0.193950i | ||||
\(631\) | 5.70909 | + | 2.36478i | 0.227275 | + | 0.0941406i | 0.493415 | − | 0.869794i | \(-0.335748\pi\) |
−0.266140 | + | 0.963934i | \(0.585748\pi\) | |||||||
\(632\) | −8.16488 | + | 12.9645i | −0.324782 | + | 0.515700i | ||||
\(633\) | −17.0280 | + | 7.05324i | −0.676803 | + | 0.280341i | ||||
\(634\) | −31.8105 | + | 13.5132i | −1.26336 | + | 0.536677i | ||||
\(635\) | −26.9786 | − | 18.0266i | −1.07061 | − | 0.715362i | ||||
\(636\) | 7.20925 | + | 2.83517i | 0.285865 | + | 0.112422i | ||||
\(637\) | 4.89817 | − | 24.6248i | 0.194073 | − | 0.975669i | ||||
\(638\) | −2.21904 | − | 3.25714i | −0.0878525 | − | 0.128952i | ||||
\(639\) | 0.0762898 | 0.00301798 | ||||||||
\(640\) | −14.4683 | − | 29.5185i | −0.571909 | − | 1.16682i | ||||
\(641\) | −4.03696 | −0.159450 | −0.0797251 | − | 0.996817i | \(-0.525404\pi\) | ||||
−0.0797251 | + | 0.996817i | \(0.525404\pi\) | |||||||
\(642\) | −8.22163 | − | 12.0679i | −0.324482 | − | 0.476281i | ||||
\(643\) | −9.16459 | + | 46.0735i | −0.361416 | + | 1.81696i | 0.188889 | + | 0.981998i | \(0.439511\pi\) |
−0.550305 | + | 0.834964i | \(0.685489\pi\) | |||||||
\(644\) | 6.82646 | + | 2.68463i | 0.269000 | + | 0.105789i | ||||
\(645\) | −10.2571 | − | 6.85355i | −0.403871 | − | 0.269858i | ||||
\(646\) | 5.00194 | − | 2.12484i | 0.196799 | − | 0.0836007i | ||||
\(647\) | 5.34972 | − | 2.21593i | 0.210319 | − | 0.0871170i | −0.275037 | − | 0.961434i | \(-0.588690\pi\) |
0.485356 | + | 0.874317i | \(0.338690\pi\) | |||||||
\(648\) | 2.39334 | + | 1.50729i | 0.0940192 | + | 0.0592121i | ||||
\(649\) | −58.0162 | − | 24.0311i | −2.27733 | − | 0.943303i | ||||
\(650\) | 0.196684 | + | 21.8419i | 0.00771457 | + | 0.856711i | ||||
\(651\) | 10.8506 | − | 2.15832i | 0.425269 | − | 0.0845913i | ||||
\(652\) | −8.21508 | + | 12.7874i | −0.321727 | + | 0.500793i | ||||
\(653\) | 24.7300 | − | 16.5241i | 0.967761 | − | 0.646637i | 0.0320803 | − | 0.999485i | \(-0.489787\pi\) |
0.935681 | + | 0.352848i | \(0.114787\pi\) | |||||||
\(654\) | 17.8306 | + | 11.6831i | 0.697230 | + | 0.456847i | ||||
\(655\) | 26.6742 | − | 26.6742i | 1.04225 | − | 1.04225i | ||||
\(656\) | 33.6865 | − | 15.3971i | 1.31524 | − | 0.601154i | ||||
\(657\) | 8.15873 | + | 8.15873i | 0.318302 | + | 0.318302i | ||||
\(658\) | 0.517450 | + | 2.48427i | 0.0201723 | + | 0.0968470i | ||||
\(659\) | −14.1757 | − | 21.2154i | −0.552207 | − | 0.826435i | 0.445418 | − | 0.895323i | \(-0.353055\pi\) |
−0.997624 | + | 0.0688873i | \(0.978055\pi\) | |||||||
\(660\) | 17.3032 | + | 24.9128i | 0.673525 | + | 0.969731i | ||||
\(661\) | 0.276376 | + | 1.38944i | 0.0107498 | + | 0.0540429i | 0.985788 | − | 0.167995i | \(-0.0537292\pi\) |
−0.975038 | + | 0.222038i | \(0.928729\pi\) | |||||||
\(662\) | −9.80985 | − | 9.63475i | −0.381271 | − | 0.374465i | ||||
\(663\) | 1.25484 | − | 3.02946i | 0.0487341 | − | 0.117654i | ||||
\(664\) | −33.1518 | − | 31.4074i | −1.28654 | − | 1.21884i | ||||
\(665\) | −6.92616 | − | 16.7212i | −0.268585 | − | 0.648421i | ||||
\(666\) | 8.46940 | + | 3.41912i | 0.328183 | + | 0.132488i | ||||
\(667\) | 0.918311 | − | 1.37435i | 0.0355571 | − | 0.0532150i | ||||
\(668\) | 22.3905 | − | 0.403280i | 0.866314 | − | 0.0156034i | ||||
\(669\) | −16.5891 | − | 3.29978i | −0.641372 | − | 0.127577i | ||||
\(670\) | 8.15753 | + | 1.54641i | 0.315153 | + | 0.0597429i | ||||
\(671\) | 65.9944i | 2.54769i | ||||||||
\(672\) | 6.69510 | − | 0.301638i | 0.258269 | − | 0.0116359i | ||||
\(673\) | 46.4813i | 1.79172i | 0.444333 | + | 0.895862i | \(0.353441\pi\) | ||||
−0.444333 | + | 0.895862i | \(0.646559\pi\) | |||||||
\(674\) | −3.70458 | + | 19.5422i | −0.142695 | + | 0.752739i | ||||
\(675\) | −3.37659 | − | 0.671645i | −0.129965 | − | 0.0258516i | ||||
\(676\) | 10.2590 | + | 9.89598i | 0.394577 | + | 0.380615i | ||||
\(677\) | −22.5183 | + | 33.7010i | −0.865449 | + | 1.29524i | 0.0887466 | + | 0.996054i | \(0.471714\pi\) |
−0.954196 | + | 0.299182i | \(0.903286\pi\) | |||||||
\(678\) | 0.0938390 | − | 0.232446i | 0.00360387 | − | 0.00892702i | ||||
\(679\) | −1.78584 | − | 4.31139i | −0.0685341 | − | 0.165456i | ||||
\(680\) | −2.44778 | − | 5.48549i | −0.0938681 | − | 0.210359i | ||||
\(681\) | 5.30264 | − | 12.8017i | 0.203198 | − | 0.490562i | ||||
\(682\) | 48.2999 | − | 49.1776i | 1.84950 | − | 1.88311i | ||||
\(683\) | −3.55473 | − | 17.8708i | −0.136018 | − | 0.683809i | −0.987270 | − | 0.159052i | \(-0.949156\pi\) |
0.851252 | − | 0.524757i | \(-0.175844\pi\) | |||||||
\(684\) | −10.3485 | − | 1.86536i | −0.395683 | − | 0.0713240i | ||||
\(685\) | 3.91224 | + | 5.85507i | 0.149479 | + | 0.223711i | ||||
\(686\) | 20.6615 | − | 4.30358i | 0.788859 | − | 0.164312i | ||||
\(687\) | 9.60514 | + | 9.60514i | 0.366459 | + | 0.366459i | ||||
\(688\) | −8.92022 | + | 14.4508i | −0.340080 | + | 0.550932i | ||||
\(689\) | −12.2875 | + | 12.2875i | −0.468115 | + | 0.468115i | ||||
\(690\) | −6.97197 | + | 10.6405i | −0.265418 | + | 0.405076i | ||||
\(691\) | −29.5073 | + | 19.7162i | −1.12251 | + | 0.750038i | −0.971157 | − | 0.238442i | \(-0.923363\pi\) |
−0.151354 | + | 0.988480i | \(0.548363\pi\) | |||||||
\(692\) | −31.1246 | + | 6.77593i | −1.18318 | + | 0.257582i | ||||
\(693\) | −6.06499 | + | 1.20640i | −0.230390 | + | 0.0458274i | ||||
\(694\) | 0.611137 | − | 0.00550321i | 0.0231985 | − | 0.000208899i | ||||
\(695\) | −8.09364 | − | 3.35249i | −0.307009 | − | 0.127167i | ||||
\(696\) | 0.254505 | − | 1.48857i | 0.00964698 | − | 0.0564240i | ||||
\(697\) | 6.25271 | − | 2.58996i | 0.236838 | − | 0.0981016i | ||||
\(698\) | −11.2313 | − | 26.4389i | −0.425112 | − | 1.00073i | ||||
\(699\) | −14.8346 | − | 9.91218i | −0.561097 | − | 0.374913i | ||||
\(700\) | −7.47909 | + | 3.25695i | −0.282683 | + | 0.123101i | ||||
\(701\) | −0.0853266 | + | 0.428966i | −0.00322274 | + | 0.0162018i | −0.982363 | − | 0.186983i | \(-0.940129\pi\) |
0.979140 | + | 0.203185i | \(0.0651291\pi\) | |||||||
\(702\) | −5.24339 | + | 3.57223i | −0.197899 | + | 0.134825i | ||||
\(703\) | −33.9556 | −1.28066 | ||||||||
\(704\) | 33.4158 | − | 25.0397i | 1.25941 | − | 0.943719i | ||||
\(705\) | −4.40074 | −0.165742 | ||||||||
\(706\) | −10.8335 | + | 7.38065i | −0.407723 | + | 0.277774i | ||||
\(707\) | 2.55351 | − | 12.8373i | 0.0960345 | − | 0.482798i | ||||
\(708\) | −9.60692 | − | 22.0609i | −0.361050 | − | 0.829098i | ||||
\(709\) | 39.9112 | + | 26.6678i | 1.49890 | + | 1.00153i | 0.990057 | + | 0.140669i | \(0.0449254\pi\) |
0.508840 | + | 0.860861i | \(0.330075\pi\) | |||||||
\(710\) | 0.122570 | + | 0.288535i | 0.00459998 | + | 0.0108285i | ||||
\(711\) | 5.00458 | − | 2.07296i | 0.187686 | − | 0.0777422i | ||||
\(712\) | 24.1322 | + | 34.0859i | 0.904392 | + | 1.27742i | ||||
\(713\) | 26.7082 | + | 11.0629i | 1.00023 | + | 0.414308i | ||||
\(714\) | 1.22456 | − | 0.0110270i | 0.0458280 | − | 0.000412675i | ||||
\(715\) | −66.7328 | + | 13.2740i | −2.49566 | + | 0.496419i | ||||
\(716\) | 2.11517 | + | 9.71584i | 0.0790477 | + | 0.363098i | ||||
\(717\) | 11.0100 | − | 7.35667i | 0.411178 | − | 0.274740i | ||||
\(718\) | −5.11907 | + | 7.81262i | −0.191042 | + | 0.291564i | ||||
\(719\) | 3.35792 | − | 3.35792i | 0.125229 | − | 0.125229i | −0.641714 | − | 0.766944i | \(-0.721777\pi\) |
0.766944 | + | 0.641714i | \(0.221777\pi\) | |||||||
\(720\) | −1.85548 | + | 11.4735i | −0.0691498 | + | 0.427592i | ||||
\(721\) | 6.20021 | + | 6.20021i | 0.230908 | + | 0.230908i | ||||
\(722\) | 11.9656 | − | 2.49231i | 0.445313 | − | 0.0927543i | ||||
\(723\) | −11.1693 | − | 16.7160i | −0.415389 | − | 0.621674i | ||||
\(724\) | −7.64673 | + | 42.4216i | −0.284188 | + | 1.57659i | ||||
\(725\) | 0.358608 | + | 1.80284i | 0.0133184 | + | 0.0669559i | ||||
\(726\) | −16.0969 | + | 16.3894i | −0.597412 | + | 0.608269i | ||||
\(727\) | 2.05853 | − | 4.96973i | 0.0763467 | − | 0.184317i | −0.881098 | − | 0.472933i | \(-0.843195\pi\) |
0.957445 | + | 0.288616i | \(0.0931951\pi\) | |||||||
\(728\) | −5.37578 | + | 14.0394i | −0.199240 | + | 0.520333i | ||||
\(729\) | −0.382683 | − | 0.923880i | −0.0141735 | − | 0.0342178i | ||||
\(730\) | −17.7489 | + | 43.9652i | −0.656915 | + | 1.62722i | ||||
\(731\) | −1.72399 | + | 2.58013i | −0.0637640 | + | 0.0954295i | ||||
\(732\) | −17.5559 | + | 18.2000i | −0.648886 | + | 0.672690i | ||||
\(733\) | −11.4634 | − | 2.28021i | −0.423410 | − | 0.0842215i | −0.0212138 | − | 0.999775i | \(-0.506753\pi\) |
−0.402196 | + | 0.915553i | \(0.631753\pi\) | |||||||
\(734\) | 4.51167 | − | 23.7997i | 0.166529 | − | 0.878464i | ||||
\(735\) | 16.2611i | 0.599800i | ||||||||
\(736\) | 14.9842 | + | 9.06414i | 0.552323 | + | 0.334109i | ||||
\(737\) | 10.5464i | 0.388480i | ||||||||
\(738\) | −12.8659 | − | 2.43897i | −0.473602 | − | 0.0897797i | ||||
\(739\) | 31.2495 | + | 6.21591i | 1.14953 | + | 0.228656i | 0.732845 | − | 0.680395i | \(-0.238192\pi\) |
0.416685 | + | 0.909051i | \(0.363192\pi\) | |||||||
\(740\) | 0.675875 | + | 37.5253i | 0.0248457 | + | 1.37946i | ||||
\(741\) | 13.1044 | − | 19.6121i | 0.481403 | − | 0.720470i | ||||
\(742\) | −6.01782 | − | 2.42941i | −0.220921 | − | 0.0891865i | ||||
\(743\) | 2.28742 | + | 5.52232i | 0.0839173 | + | 0.202594i | 0.960268 | − | 0.279079i | \(-0.0900292\pi\) |
−0.876351 | + | 0.481673i | \(0.840029\pi\) | |||||||
\(744\) | 26.4025 | − | 0.713407i | 0.967962 | − | 0.0261548i | ||||
\(745\) | −21.3972 | + | 51.6573i | −0.783932 | + | 1.89258i | ||||
\(746\) | 27.7877 | + | 27.2917i | 1.01738 | + | 0.999219i | ||||
\(747\) | 3.14987 | + | 15.8355i | 0.115248 | + | 0.579389i | ||||
\(748\) | 6.26674 | − | 4.35256i | 0.229135 | − | 0.159145i | ||||
\(749\) | 6.79625 | + | 10.1713i | 0.248329 | + | 0.371651i | ||||
\(750\) | 1.30486 | + | 6.26465i | 0.0476469 | + | 0.228753i | ||||
\(751\) | −18.9675 | − | 18.9675i | −0.692133 | − | 0.692133i | 0.270568 | − | 0.962701i | \(-0.412788\pi\) |
−0.962701 | + | 0.270568i | \(0.912788\pi\) | |||||||
\(752\) | 0.218160 | + | 6.05428i | 0.00795549 | + | 0.220777i | ||||
\(753\) | −4.78502 | + | 4.78502i | −0.174376 | + | 0.174376i | ||||
\(754\) | 2.83347 | + | 1.85658i | 0.103189 | + | 0.0676127i | ||||
\(755\) | −27.7924 | + | 18.5703i | −1.01147 | + | 0.675843i | ||||
\(756\) | −1.99353 | − | 1.28072i | −0.0725041 | − | 0.0465792i | ||||
\(757\) | 22.5808 | − | 4.49159i | 0.820712 | − | 0.163250i | 0.233162 | − | 0.972438i | \(-0.425093\pi\) |
0.587550 | + | 0.809188i | \(0.300093\pi\) | |||||||
\(758\) | −0.276988 | − | 30.7598i | −0.0100607 | − | 1.11725i | ||||
\(759\) | −14.9286 | − | 6.18364i | −0.541875 | − | 0.224452i | ||||
\(760\) | −9.57129 | − | 42.1357i | −0.347187 | − | 1.52842i | ||||
\(761\) | −2.72276 | + | 1.12780i | −0.0986999 | + | 0.0408829i | −0.431487 | − | 0.902119i | \(-0.642011\pi\) |
0.332787 | + | 0.943002i | \(0.392011\pi\) | |||||||
\(762\) | 14.5352 | − | 6.17461i | 0.526556 | − | 0.223682i | ||||
\(763\) | −14.8486 | − | 9.92149i | −0.537554 | − | 0.359182i | ||||
\(764\) | −7.57034 | + | 19.2498i | −0.273885 | + | 0.696433i | ||||
\(765\) | −0.414322 | + | 2.08294i | −0.0149798 | + | 0.0753087i | ||||
\(766\) | −2.11819 | − | 3.10913i | −0.0765335 | − | 0.112337i | ||||
\(767\) | 53.9746 | 1.94891 | ||||||||
\(768\) | 15.8765 | + | 1.98388i | 0.572895 | + | 0.0715872i | ||||
\(769\) | 22.0370 | 0.794676 | 0.397338 | − | 0.917672i | \(-0.369934\pi\) | ||||
0.397338 | + | 0.917672i | \(0.369934\pi\) | |||||||
\(770\) | −14.3070 | − | 21.0001i | −0.515588 | − | 0.756790i | ||||
\(771\) | 3.71932 | − | 18.6983i | 0.133948 | − | 0.673402i | ||||
\(772\) | −12.8653 | + | 32.7139i | −0.463034 | + | 1.17740i | ||||
\(773\) | 6.95444 | + | 4.64681i | 0.250134 | + | 0.167134i | 0.674316 | − | 0.738443i | \(-0.264438\pi\) |
−0.424182 | + | 0.905577i | \(0.639438\pi\) | |||||||
\(774\) | 5.52617 | − | 2.34754i | 0.198634 | − | 0.0843804i | ||||
\(775\) | −29.7014 | + | 12.3027i | −1.06691 | + | 0.441927i | ||||
\(776\) | −2.46786 | − | 10.8643i | −0.0885908 | − | 0.390004i | ||||
\(777\) | −7.06904 | − | 2.92809i | −0.253600 | − | 0.105045i | ||||
\(778\) | −0.0739447 | − | 8.21164i | −0.00265105 | − | 0.294401i | ||||
\(779\) | 47.7481 | − | 9.49768i | 1.71075 | − | 0.340290i | ||||
\(780\) | −21.9347 | − | 14.0917i | −0.785390 | − | 0.504563i | ||||
\(781\) | −0.331090 | + | 0.221228i | −0.0118473 | + | 0.00791615i | ||||
\(782\) | 2.67658 | + | 1.75378i | 0.0957142 | + | 0.0627149i | ||||
\(783\) | −0.377542 | + | 0.377542i | −0.0134923 | + | 0.0134923i | ||||
\(784\) | 22.3711 | − | 0.806121i | 0.798967 | − | 0.0287900i | ||||
\(785\) | 3.62517 | + | 3.62517i | 0.129388 | + | 0.129388i | ||||
\(786\) | 3.74392 | + | 17.9745i | 0.133541 | + | 0.641131i | ||||
\(787\) | 3.00589 | + | 4.49863i | 0.107148 | + | 0.160359i | 0.881169 | − | 0.472802i | \(-0.156757\pi\) |
−0.774020 | + | 0.633161i | \(0.781757\pi\) | |||||||
\(788\) | 11.1306 | − | 7.73077i | 0.396513 | − | 0.275397i | ||||
\(789\) | 0.320499 | + | 1.61126i | 0.0114101 | + | 0.0573623i | ||||
\(790\) | 15.8807 | + | 15.5972i | 0.565009 | + | 0.554925i | ||||
\(791\) | −0.0803626 | + | 0.194012i | −0.00285736 | + | 0.00689829i | ||||
\(792\) | −14.7578 | + | 0.398761i | −0.524394 | + | 0.0141694i | ||||
\(793\) | −21.7071 | − | 52.4057i | −0.770843 | − | 1.86098i | ||||
\(794\) | 44.3960 | + | 17.9228i | 1.57555 | + | 0.636056i | ||||
\(795\) | 6.25270 | − | 9.35783i | 0.221761 | − | 0.331888i | ||||
\(796\) | −0.210686 | − | 11.6975i | −0.00746755 | − | 0.414606i | ||||
\(797\) | −47.7432 | − | 9.49670i | −1.69115 | − | 0.336390i | −0.746728 | − | 0.665129i | \(-0.768376\pi\) |
−0.944421 | + | 0.328739i | \(0.893376\pi\) | |||||||
\(798\) | 8.65485 | + | 1.64068i | 0.306378 | + | 0.0580795i | ||||
\(799\) | 1.10699i | 0.0391626i | ||||||||
\(800\) | −18.9105 | + | 4.65523i | −0.668587 | + | 0.164587i | ||||
\(801\) | − | 14.7657i | − | 0.521721i | ||||||
\(802\) | 3.62040 | − | 19.0981i | 0.127841 | − | 0.674379i | ||||
\(803\) | −59.0671 | − | 11.7492i | −2.08443 | − | 0.414619i | ||||
\(804\) | −2.80556 | + | 2.90848i | −0.0989445 | + | 0.102574i | ||||
\(805\) | 5.92070 | − | 8.86095i | 0.208677 | − | 0.312308i | ||||
\(806\) | −22.1789 | + | 54.9386i | −0.781217 | + | 1.93513i | ||||
\(807\) | 6.90417 | + | 16.6681i | 0.243038 | + | 0.586746i | ||||
\(808\) | 11.1740 | − | 29.1820i | 0.393100 | − | 1.02662i | ||||
\(809\) | 3.26003 | − | 7.87042i | 0.114617 | − | 0.276709i | −0.856153 | − | 0.516723i | \(-0.827152\pi\) |
0.970770 | + | 0.240013i | \(0.0771518\pi\) | |||||||
\(810\) | 2.87936 | − | 2.93168i | 0.101170 | − | 0.103009i | ||||
\(811\) | 2.64300 | + | 13.2873i | 0.0928084 | + | 0.466579i | 0.999040 | + | 0.0437985i | \(0.0139460\pi\) |
−0.906232 | + | 0.422781i | \(0.861054\pi\) | |||||||
\(812\) | −0.224428 | + | 1.24506i | −0.00787588 | + | 0.0436929i | ||||
\(813\) | 0.846724 | + | 1.26721i | 0.0296959 | + | 0.0444431i | ||||
\(814\) | −46.6713 | + | 9.72117i | −1.63583 | + | 0.340727i | ||||
\(815\) | 15.6138 | + | 15.6138i | 0.546926 | + | 0.546926i | ||||
\(816\) | 2.88612 | + | 0.466741i | 0.101034 | + | 0.0163392i | ||||
\(817\) | −15.7837 | + | 15.7837i | −0.552202 | + | 0.552202i | ||||
\(818\) | −5.01767 | + | 7.65786i | −0.175439 | + | 0.267751i | ||||
\(819\) | 4.41935 | − | 2.95291i | 0.154425 | − | 0.103183i | ||||
\(820\) | −11.4466 | − | 52.5786i | −0.399731 | − | 1.83613i | ||||
\(821\) | 5.05328 | − | 1.00516i | 0.176361 | − | 0.0350803i | −0.106120 | − | 0.994353i | \(-0.533843\pi\) |
0.282480 | + | 0.959273i | \(0.408843\pi\) | |||||||
\(822\) | −3.42722 | + | 0.0308617i | −0.119538 | + | 0.00107642i | ||||
\(823\) | −44.2286 | − | 18.3201i | −1.54171 | − | 0.638598i | −0.559918 | − | 0.828548i | \(-0.689167\pi\) |
−0.981794 | + | 0.189950i | \(0.939167\pi\) | |||||||
\(824\) | 12.0960 | + | 17.0852i | 0.421384 | + | 0.595191i | ||||
\(825\) | 16.6017 | − | 6.87666i | 0.577998 | − | 0.239414i | ||||
\(826\) | 7.88133 | + | 18.5529i | 0.274226 | + | 0.645538i | ||||
\(827\) | −23.7672 | − | 15.8807i | −0.826466 | − | 0.552227i | 0.0688660 | − | 0.997626i | \(-0.478062\pi\) |
−0.895332 | + | 0.445399i | \(0.853062\pi\) | |||||||
\(828\) | −2.47204 | − | 5.67666i | −0.0859092 | − | 0.197278i | ||||
\(829\) | 2.80642 | − | 14.1088i | 0.0974711 | − | 0.490020i | −0.900954 | − | 0.433915i | \(-0.857132\pi\) |
0.998425 | − | 0.0561052i | \(-0.0178682\pi\) | |||||||
\(830\) | −54.8304 | + | 37.3550i | −1.90319 | + | 1.29661i | ||||
\(831\) | −13.0014 | −0.451013 | ||||||||
\(832\) | −18.2991 | + | 30.8751i | −0.634407 | + | 1.07040i | ||||
\(833\) | 4.09043 | 0.141725 | ||||||||
\(834\) | 3.52379 | − | 2.40069i | 0.122019 | − | 0.0831293i | ||||
\(835\) | 6.34719 | − | 31.9095i | 0.219654 | − | 1.10427i | ||||
\(836\) | 50.3206 | − | 21.9133i | 1.74037 | − | 0.757887i | ||||
\(837\) | −7.76434 | − | 5.18797i | −0.268375 | − | 0.179322i | ||||
\(838\) | −8.16099 | − | 19.2112i | −0.281917 | − | 0.663641i | ||||
\(839\) | −47.9982 | + | 19.8815i | −1.65708 | + | 0.686386i | −0.997849 | − | 0.0655529i | \(-0.979119\pi\) |
−0.659233 | + | 0.751939i | \(0.729119\pi\) | |||||||
\(840\) | 1.64089 | − | 9.59737i | 0.0566161 | − | 0.331141i | ||||
\(841\) | −26.5291 | − | 10.9887i | −0.914798 | − | 0.378922i | ||||
\(842\) | 29.5759 | − | 0.266327i | 1.01925 | − | 0.00917825i | ||||
\(843\) | 22.8077 | − | 4.53674i | 0.785540 | − | 0.156254i | ||||
\(844\) | 36.0184 | − | 7.84132i | 1.23980 | − | 0.269909i | ||||
\(845\) | 17.2185 | − | 11.5050i | 0.592335 | − | 0.395785i | ||||
\(846\) | 1.17389 | − | 1.79157i | 0.0403592 | − | 0.0615954i | ||||
\(847\) | 13.6080 | − | 13.6080i | 0.467577 | − | 0.467577i | ||||
\(848\) | −13.1839 | − | 8.13820i | −0.452738 | − | 0.279467i | ||||
\(849\) | −12.0167 | − | 12.0167i | −0.412412 | − | 0.412412i | ||||
\(850\) | −3.48383 | + | 0.725648i | −0.119494 | + | 0.0248895i | ||||
\(851\) | −11.1079 | − | 16.6242i | −0.380774 | − | 0.569869i | ||||
\(852\) | −0.150160 | − | 0.0270671i | −0.00514438 | − | 0.000927303i | ||||
\(853\) | 3.09612 | + | 15.5653i | 0.106009 | + | 0.532944i | 0.996897 | + | 0.0787203i | \(0.0250834\pi\) |
−0.890888 | + | 0.454224i | \(0.849917\pi\) | |||||||
\(854\) | 14.8439 | − | 15.1137i | 0.507949 | − | 0.517180i | ||||
\(855\) | −5.84615 | + | 14.1139i | −0.199934 | + | 0.482684i | ||||
\(856\) | 11.9009 | + | 26.6699i | 0.406763 | + | 0.911559i | ||||
\(857\) | −5.33851 | − | 12.8883i | −0.182360 | − | 0.440256i | 0.806092 | − | 0.591790i | \(-0.201579\pi\) |
−0.988452 | + | 0.151534i | \(0.951579\pi\) | |||||||
\(858\) | 12.3970 | − | 30.7081i | 0.423225 | − | 1.04836i | ||||
\(859\) | 27.4848 | − | 41.1339i | 0.937768 | − | 1.40347i | 0.0228908 | − | 0.999738i | \(-0.492713\pi\) |
0.914878 | − | 0.403732i | \(-0.132287\pi\) | |||||||
\(860\) | 17.7572 | + | 17.1288i | 0.605514 | + | 0.584088i | ||||
\(861\) | 10.7594 | + | 2.14018i | 0.366680 | + | 0.0729372i | ||||
\(862\) | −0.637695 | + | 3.36394i | −0.0217200 | + | 0.114576i | ||||
\(863\) | 38.4116i | 1.30754i | 0.756691 | + | 0.653772i | \(0.226815\pi\) | ||||
−0.756691 | + | 0.653772i | \(0.773185\pi\) | |||||||
\(864\) | −4.17598 | − | 3.81591i | −0.142070 | − | 0.129820i | ||||
\(865\) | 46.2775i | 1.57348i | ||||||||
\(866\) | 27.9285 | + | 5.29434i | 0.949048 | + | 0.179909i | ||||
\(867\) | −16.1494 | − | 3.21231i | −0.548462 | − | 0.109096i | ||||
\(868\) | −22.1228 | + | 0.398458i | −0.750896 | + | 0.0135245i | ||||
\(869\) | −15.7081 | + | 23.5089i | −0.532862 | + | 0.797485i | ||||
\(870\) | −2.03447 | − | 0.821322i | −0.0689750 | − | 0.0278454i | ||||
\(871\) | −3.46895 | − | 8.37479i | −0.117541 | − | 0.283769i | ||||
\(872\) | −30.9504 | − | 29.3218i | −1.04811 | − | 0.992963i | ||||
\(873\) | −1.50737 | + | 3.63911i | −0.0510167 | + | 0.123165i | ||||
\(874\) | 16.4223 | + | 16.1292i | 0.555494 | + | 0.545579i | ||||
\(875\) | −1.04583 | − | 5.25775i | −0.0353556 | − | 0.177744i | ||||
\(876\) | −13.1640 | − | 18.9533i | −0.444770 | − | 0.640373i | ||||
\(877\) | −18.3810 | − | 27.5091i | −0.620682 | − | 0.928916i | −0.999993 | − | 0.00364702i | \(-0.998839\pi\) |
0.379311 | − | 0.925269i | \(-0.376161\pi\) | |||||||
\(878\) | 2.89484 | + | 13.8981i | 0.0976960 | + | 0.469038i | ||||
\(879\) | −5.74730 | − | 5.74730i | −0.193852 | − | 0.193852i | ||||
\(880\) | −25.2186 | − | 55.1745i | −0.850118 | − | 1.85993i | ||||
\(881\) | 18.4097 | − | 18.4097i | 0.620238 | − | 0.620238i | −0.325354 | − | 0.945592i | \(-0.605483\pi\) |
0.945592 | + | 0.325354i | \(0.105483\pi\) | |||||||
\(882\) | −6.61999 | − | 4.33763i | −0.222907 | − | 0.146055i | ||||
\(883\) | −26.1841 | + | 17.4956i | −0.881164 | + | 0.588775i | −0.911745 | − | 0.410757i | \(-0.865264\pi\) |
0.0305805 | + | 0.999532i | \(0.490264\pi\) | |||||||
\(884\) | −3.54471 | + | 5.51761i | −0.119222 | + | 0.185577i | ||||
\(885\) | −34.2859 | + | 6.81989i | −1.15251 | + | 0.229248i | ||||
\(886\) | −0.386455 | − | 42.9162i | −0.0129832 | − | 1.44180i | ||||
\(887\) | 13.3290 | + | 5.52105i | 0.447544 | + | 0.185379i | 0.595061 | − | 0.803681i | \(-0.297128\pi\) |
−0.147517 | + | 0.989060i | \(0.547128\pi\) | |||||||
\(888\) | −15.4571 | − | 9.73467i | −0.518705 | − | 0.326674i | ||||
\(889\) | −12.2228 | + | 5.06284i | −0.409939 | + | 0.169802i | ||||
\(890\) | 55.8452 | − | 23.7232i | 1.87194 | − | 0.795204i | ||||
\(891\) | 4.33991 | + | 2.89983i | 0.145392 | + | 0.0971481i | ||||
\(892\) | 31.4813 | + | 12.3806i | 1.05407 | + | 0.414533i | ||||
\(893\) | −1.55349 | + | 7.80993i | −0.0519856 | + | 0.261349i | ||||
\(894\) | −15.3223 | − | 22.4904i | −0.512456 | − | 0.752193i | ||||
\(895\) | 14.4460 | 0.482876 | ||||||||
\(896\) | −13.2848 | − | 1.78166i | −0.443815 | − | 0.0595212i | ||||
\(897\) | 13.8887 | 0.463729 | ||||||||
\(898\) | 17.8847 | + | 26.2516i | 0.596821 | + | 0.876026i | ||||
\(899\) | −0.972689 | + | 4.89004i | −0.0324410 | + | 0.163092i | ||||
\(900\) | 6.40777 | + | 2.51997i | 0.213592 | + | 0.0839991i | ||||
\(901\) | −2.35393 | − | 1.57285i | −0.0784208 | − | 0.0523991i | ||||
\(902\) | 62.9096 | − | 26.7242i | 2.09466 | − | 0.889817i | ||||
\(903\) | −4.64700 | + | 1.92485i | −0.154642 | + | 0.0640550i | ||||
\(904\) | −0.267171 | + | 0.424225i | −0.00888599 | + | 0.0141095i | ||||
\(905\) | 57.8573 | + | 23.9653i | 1.92324 | + | 0.796632i | ||||
\(906\) | −0.146492 | − | 16.2681i | −0.00486686 | − | 0.540470i | ||||
\(907\) | −23.0754 | + | 4.58998i | −0.766205 | + | 0.152408i | −0.562694 | − | 0.826665i | \(-0.690235\pi\) |
−0.203511 | + | 0.979073i | \(0.565235\pi\) | |||||||
\(908\) | −14.9790 | + | 23.3160i | −0.497097 | + | 0.773768i | ||||
\(909\) | −9.18598 | + | 6.13787i | −0.304680 | + | 0.203580i | ||||
\(910\) | 18.2685 | + | 11.9701i | 0.605594 | + | 0.396804i | ||||
\(911\) | −1.55018 | + | 1.55018i | −0.0513596 | + | 0.0513596i | −0.732320 | − | 0.680961i | \(-0.761563\pi\) |
0.680961 | + | 0.732320i | \(0.261563\pi\) | |||||||
\(912\) | 19.7068 | + | 7.34312i | 0.652558 | + | 0.243155i | ||||
\(913\) | −59.5903 | − | 59.5903i | −1.97215 | − | 1.97215i | ||||
\(914\) | 4.37865 | + | 21.0219i | 0.144833 | + | 0.695341i | ||||
\(915\) | 20.4105 | + | 30.5465i | 0.674750 | + | 1.00984i | ||||
\(916\) | −15.4978 | − | 22.3134i | −0.512060 | − | 0.737256i | ||||
\(917\) | −3.00070 | − | 15.0856i | −0.0990920 | − | 0.498169i | ||||
\(918\) | −0.737456 | − | 0.724293i | −0.0243397 | − | 0.0239052i | ||||
\(919\) | −4.22610 | + | 10.2027i | −0.139406 | + | 0.336556i | −0.978128 | − | 0.208004i | \(-0.933303\pi\) |
0.838722 | + | 0.544560i | \(0.183303\pi\) | |||||||
\(920\) | 17.4980 | − | 18.4698i | 0.576890 | − | 0.608932i | ||||
\(921\) | 9.93628 | + | 23.9883i | 0.327411 | + | 0.790441i | ||||
\(922\) | −21.6373 | − | 8.73502i | −0.712585 | − | 0.287673i | ||||
\(923\) | 0.190149 | − | 0.284579i | 0.00625884 | − | 0.00936702i | ||||
\(924\) | 12.3656 | − | 0.222720i | 0.406799 | − | 0.00732693i | ||||
\(925\) | 21.8072 | + | 4.33773i | 0.717018 | + | 0.142624i | ||||
\(926\) | −2.86295 | − | 0.542724i | −0.0940824 | − | 0.0178350i | ||||
\(927\) | − | 7.40115i | − | 0.243086i | ||||||
\(928\) | −1.02907 | + | 2.83962i | −0.0337809 | + | 0.0932151i | ||||
\(929\) | − | 36.3512i | − | 1.19264i | −0.802745 | − | 0.596322i | \(-0.796628\pi\) | ||
0.802745 | − | 0.596322i | \(-0.203372\pi\) | |||||||
\(930\) | 7.14683 | − | 37.7006i | 0.234354 | − | 1.23625i | ||||
\(931\) | 28.8583 | + | 5.74028i | 0.945794 | + | 0.188130i | ||||
\(932\) | 25.6819 | + | 24.7732i | 0.841239 | + | 0.811472i | ||||
\(933\) | −2.17537 | + | 3.25568i | −0.0712185 | + | 0.106586i | ||||
\(934\) | 19.1982 | − | 47.5553i | 0.628185 | − | 1.55606i | ||||
\(935\) | −4.24205 | − | 10.2412i | −0.138730 | − | 0.334923i | ||||
\(936\) | 11.5879 | − | 5.17083i | 0.378761 | − | 0.169014i | ||||
\(937\) | 6.37040 | − | 15.3795i | 0.208112 | − | 0.502426i | −0.785014 | − | 0.619478i | \(-0.787344\pi\) |
0.993126 | + | 0.117052i | \(0.0373443\pi\) | |||||||
\(938\) | 2.37216 | − | 2.41527i | 0.0774539 | − | 0.0788615i | ||||
\(939\) | 1.46158 | + | 7.34784i | 0.0476967 | + | 0.239788i | ||||
\(940\) | 8.66189 | + | 1.56135i | 0.282520 | + | 0.0509257i | ||||
\(941\) | −6.10161 | − | 9.13170i | −0.198907 | − | 0.297685i | 0.718586 | − | 0.695439i | \(-0.244790\pi\) |
−0.917492 | + | 0.397754i | \(0.869790\pi\) | |||||||
\(942\) | −2.44284 | + | 0.508820i | −0.0795920 | + | 0.0165782i | ||||
\(943\) | 20.2697 | + | 20.2697i | 0.660074 | + | 0.660074i | ||||
\(944\) | 11.0821 | + | 46.8304i | 0.360691 | + | 1.52420i | ||||
\(945\) | −2.43416 | + | 2.43416i | −0.0791832 | + | 0.0791832i | ||||
\(946\) | −17.1756 | + | 26.2131i | −0.558428 | + | 0.852260i | ||||
\(947\) | 20.5531 | − | 13.7331i | 0.667885 | − | 0.446267i | −0.174850 | − | 0.984595i | \(-0.555944\pi\) |
0.842735 | + | 0.538329i | \(0.180944\pi\) | |||||||
\(948\) | −10.5859 | + | 2.30458i | −0.343813 | + | 0.0748493i | ||||
\(949\) | 50.7693 | − | 10.0986i | 1.64804 | − | 0.327816i | ||||
\(950\) | −25.5971 | + | 0.230498i | −0.830478 | + | 0.00747835i | ||||
\(951\) | −22.5785 | − | 9.35233i | −0.732159 | − | 0.303270i | ||||
\(952\) | −2.41419 | − | 0.412761i | −0.0782442 | − | 0.0133776i | ||||
\(953\) | −17.9107 | + | 7.41886i | −0.580185 | + | 0.240320i | −0.653422 | − | 0.756994i | \(-0.726667\pi\) |
0.0732370 | + | 0.997315i | \(0.476667\pi\) | |||||||
\(954\) | 2.14173 | + | 5.04170i | 0.0693411 | + | 0.163231i | ||||
\(955\) | 24.9868 | + | 16.6957i | 0.808555 | + | 0.540259i | ||||
\(956\) | −24.2809 | + | 10.5737i | −0.785301 | + | 0.341978i | ||||
\(957\) | 0.543688 | − | 2.73331i | 0.0175749 | − | 0.0883552i | ||||
\(958\) | −17.8871 | + | 12.1861i | −0.577905 | + | 0.393717i | ||||
\(959\) | 2.87122 | 0.0927166 | ||||||||
\(960\) | 7.72282 | − | 21.9247i | 0.249253 | − | 0.707617i | ||||
\(961\) | −56.2000 | −1.81290 | ||||||||
\(962\) | 33.8638 | − | 23.0708i | 1.09181 | − | 0.743833i | ||||
\(963\) | 2.01439 | − | 10.1270i | 0.0649128 | − | 0.326339i | ||||
\(964\) | 16.0535 | + | 36.8645i | 0.517049 | + | 1.18733i | ||||
\(965\) | 42.4636 | + | 28.3733i | 1.36695 | + | 0.913368i | ||||
\(966\) | 2.02801 | + | 4.77400i | 0.0652501 | + | 0.153601i | ||||
\(967\) | 35.4498 | − | 14.6838i | 1.13999 | − | 0.472199i | 0.268824 | − | 0.963189i | \(-0.413365\pi\) |
0.871165 | + | 0.490991i | \(0.163365\pi\) | |||||||
\(968\) | 37.4980 | − | 26.5479i | 1.20523 | − | 0.853282i | ||||
\(969\) | 3.55029 | + | 1.47058i | 0.114052 | + | 0.0472418i | ||||
\(970\) | −16.1852 | + | 0.145746i | −0.519676 | + | 0.00467962i | ||||
\(971\) | −27.8529 | + | 5.54028i | −0.893841 | + | 0.177796i | −0.620579 | − | 0.784144i | \(-0.713103\pi\) |
−0.273262 | + | 0.961940i | \(0.588103\pi\) | |||||||
\(972\) | 0.425442 | + | 1.95423i | 0.0136461 | + | 0.0626818i | ||||
\(973\) | −2.96999 | + | 1.98449i | −0.0952136 | + | 0.0636197i | ||||
\(974\) | 12.4522 | − | 19.0043i | 0.398995 | − | 0.608938i | ||||
\(975\) | −10.9214 | + | 10.9214i | −0.349765 | + | 0.349765i | ||||
\(976\) | 41.0122 | − | 29.5939i | 1.31277 | − | 0.947276i | ||||
\(977\) | 21.4481 | + | 21.4481i | 0.686186 | + | 0.686186i | 0.961387 | − | 0.275201i | \(-0.0887445\pi\) |
−0.275201 | + | 0.961387i | \(0.588744\pi\) | |||||||
\(978\) | −10.5214 | + | 2.19151i | −0.336437 | + | 0.0700766i | ||||
\(979\) | 42.8181 | + | 64.0818i | 1.36847 | + | 2.04806i | ||||
\(980\) | 5.76933 | − | 32.0064i | 0.184294 | − | 1.02241i | ||||
\(981\) | 2.94071 | + | 14.7839i | 0.0938895 | + | 0.472014i | ||||
\(982\) | −34.8256 | + | 35.4585i | −1.11133 | + | 1.13153i | ||||
\(983\) | 4.27208 | − | 10.3137i | 0.136258 | − | 0.328957i | −0.840991 | − | 0.541048i | \(-0.818028\pi\) |
0.977250 | + | 0.212092i | \(0.0680276\pi\) | |||||||
\(984\) | 24.4584 | + | 9.36531i | 0.779706 | + | 0.298555i | ||||
\(985\) | −7.53449 | − | 18.1899i | −0.240069 | − | 0.579577i | ||||
\(986\) | −0.206601 | + | 0.511764i | −0.00657951 | + | 0.0162979i | ||||
\(987\) | −0.996886 | + | 1.49195i | −0.0317312 | + | 0.0474891i | ||||
\(988\) | −32.7514 | + | 33.9528i | −1.04196 | + | 1.08018i | ||||
\(989\) | −12.8908 | − | 2.56413i | −0.409903 | − | 0.0815347i | ||||
\(990\) | −3.99474 | + | 21.0729i | −0.126961 | + | 0.669740i | ||||
\(991\) | 17.8630i | 0.567436i | 0.958908 | + | 0.283718i | \(0.0915680\pi\) | ||||
−0.958908 | + | 0.283718i | \(0.908432\pi\) | |||||||
\(992\) | −52.2205 | − | 7.96323i | −1.65800 | − | 0.252833i | ||||
\(993\) | − | 9.72270i | − | 0.308540i | ||||||
\(994\) | 0.125585 | + | 0.0238069i | 0.00398331 | + | 0.000755107i | ||||
\(995\) | −16.6705 | − | 3.31597i | −0.528490 | − | 0.105123i | ||||
\(996\) | −0.581512 | − | 32.2861i | −0.0184259 | − | 1.02303i | ||||
\(997\) | −9.94645 | + | 14.8859i | −0.315007 | + | 0.471442i | −0.954860 | − | 0.297056i | \(-0.903995\pi\) |
0.639853 | + | 0.768497i | \(0.278995\pi\) | |||||||
\(998\) | −40.4761 | − | 16.3403i | −1.28125 | − | 0.517244i | ||||
\(999\) | 2.47151 | + | 5.96676i | 0.0781952 | + | 0.188780i |
(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 | 192.2.r.a.61.4 | ✓ | 128 | |
3.2 | odd | 2 | 576.2.bd.b.253.13 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.337.8 | 128 | |||
64.21 | even | 16 | inner | 192.2.r.a.85.4 | yes | 128 | |
64.43 | odd | 16 | 768.2.r.a.433.8 | 128 | |||
192.149 | odd | 16 | 576.2.bd.b.469.13 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.61.4 | ✓ | 128 | 1.1 | even | 1 | trivial | |
192.2.r.a.85.4 | yes | 128 | 64.21 | even | 16 | inner | |
576.2.bd.b.253.13 | 128 | 3.2 | odd | 2 | |||
576.2.bd.b.469.13 | 128 | 192.149 | odd | 16 | |||
768.2.r.a.337.8 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.433.8 | 128 | 64.43 | odd | 16 |