Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(2,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.p (of order \(30\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 99.2 |
Dual form | 99.2.p.a.50.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.13824 | + | 1.26415i | 0.804859 | + | 0.893886i | 0.996152 | − | 0.0876467i | \(-0.0279346\pi\) |
−0.191293 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(3\) | 0.775984 | + | 1.54850i | 0.448015 | + | 0.894026i | ||||
\(4\) | −0.0934131 | + | 0.888766i | −0.0467065 | + | 0.444383i | ||||
\(5\) | −1.30752 | − | 1.17729i | −0.584739 | − | 0.526502i | 0.322801 | − | 0.946467i | \(-0.395376\pi\) |
−0.907540 | + | 0.419965i | \(0.862042\pi\) | |||||||
\(6\) | −1.07427 | + | 2.74352i | −0.438569 | + | 1.12004i | ||||
\(7\) | −1.14161 | − | 2.56410i | −0.431488 | − | 0.969138i | −0.990185 | − | 0.139766i | \(-0.955365\pi\) |
0.558696 | − | 0.829372i | \(-0.311302\pi\) | |||||||
\(8\) | 1.52254 | − | 1.10619i | 0.538300 | − | 0.391098i | ||||
\(9\) | −1.79570 | + | 2.40322i | −0.598565 | + | 0.801074i | ||||
\(10\) | − | 2.99294i | − | 0.946450i | ||||||
\(11\) | −2.66204 | + | 1.97826i | −0.802637 | + | 0.596468i | ||||
\(12\) | −1.44874 | + | 0.545018i | −0.418215 | + | 0.157333i | ||||
\(13\) | −0.685545 | − | 3.22523i | −0.190136 | − | 0.894519i | −0.964971 | − | 0.262356i | \(-0.915501\pi\) |
0.774835 | − | 0.632163i | \(-0.217833\pi\) | |||||||
\(14\) | 1.94197 | − | 4.36173i | 0.519012 | − | 1.16572i | ||||
\(15\) | 0.808425 | − | 2.93825i | 0.208734 | − | 0.758653i | ||||
\(16\) | 4.87968 | + | 1.03721i | 1.21992 | + | 0.259302i | ||||
\(17\) | 2.08549 | + | 6.41848i | 0.505805 | + | 1.55671i | 0.799412 | + | 0.600783i | \(0.205144\pi\) |
−0.293607 | + | 0.955926i | \(0.594856\pi\) | |||||||
\(18\) | −5.08196 | + | 0.465426i | −1.19783 | + | 0.109702i | ||||
\(19\) | 0.847917 | + | 1.16706i | 0.194526 | + | 0.267741i | 0.895127 | − | 0.445811i | \(-0.147085\pi\) |
−0.700601 | + | 0.713553i | \(0.747085\pi\) | |||||||
\(20\) | 1.16848 | − | 1.05210i | 0.261280 | − | 0.235257i | ||||
\(21\) | 3.08463 | − | 3.75748i | 0.673122 | − | 0.819950i | ||||
\(22\) | −5.53086 | − | 1.11347i | −1.17918 | − | 0.237393i | ||||
\(23\) | −1.51546 | + | 0.874951i | −0.315995 | + | 0.182440i | −0.649606 | − | 0.760271i | \(-0.725066\pi\) |
0.333611 | + | 0.942711i | \(0.391733\pi\) | |||||||
\(24\) | 2.89441 | + | 1.49927i | 0.590818 | + | 0.306037i | ||||
\(25\) | −0.199062 | − | 1.89395i | −0.0398124 | − | 0.378789i | ||||
\(26\) | 3.29685 | − | 4.53773i | 0.646566 | − | 0.889921i | ||||
\(27\) | −5.11482 | − | 0.915771i | −0.984347 | − | 0.176240i | ||||
\(28\) | 2.38552 | − | 0.775104i | 0.450822 | − | 0.146481i | ||||
\(29\) | 5.41571 | − | 2.41123i | 1.00567 | − | 0.447754i | 0.163257 | − | 0.986584i | \(-0.447800\pi\) |
0.842415 | + | 0.538830i | \(0.181133\pi\) | |||||||
\(30\) | 4.63456 | − | 2.32247i | 0.846151 | − | 0.424024i | ||||
\(31\) | −4.76756 | + | 1.01338i | −0.856278 | + | 0.182008i | −0.615077 | − | 0.788467i | \(-0.710875\pi\) |
−0.241202 | + | 0.970475i | \(0.577542\pi\) | |||||||
\(32\) | 2.36111 | + | 4.08956i | 0.417389 | + | 0.722938i | ||||
\(33\) | −5.12904 | − | 2.58707i | −0.892851 | − | 0.450352i | ||||
\(34\) | −5.74010 | + | 9.94214i | −0.984419 | + | 1.70506i | ||||
\(35\) | −1.52602 | + | 4.69661i | −0.257945 | + | 0.793873i | ||||
\(36\) | −1.96816 | − | 1.82045i | −0.328027 | − | 0.303408i | ||||
\(37\) | −2.98102 | − | 2.16584i | −0.490077 | − | 0.356062i | 0.315137 | − | 0.949046i | \(-0.397950\pi\) |
−0.805214 | + | 0.592985i | \(0.797950\pi\) | |||||||
\(38\) | −0.510197 | + | 2.40029i | −0.0827648 | + | 0.389378i | ||||
\(39\) | 4.46230 | − | 3.56430i | 0.714540 | − | 0.570744i | ||||
\(40\) | −3.29306 | − | 0.346115i | −0.520679 | − | 0.0547256i | ||||
\(41\) | −2.94923 | − | 1.31308i | −0.460592 | − | 0.205069i | 0.163305 | − | 0.986576i | \(-0.447785\pi\) |
−0.623897 | + | 0.781507i | \(0.714451\pi\) | |||||||
\(42\) | 8.26107 | − | 0.377501i | 1.27471 | − | 0.0582496i | ||||
\(43\) | 7.54756 | + | 4.35759i | 1.15099 | + | 0.664526i | 0.949129 | − | 0.314888i | \(-0.101967\pi\) |
0.201863 | + | 0.979414i | \(0.435300\pi\) | |||||||
\(44\) | −1.50954 | − | 2.55073i | −0.227572 | − | 0.384537i | ||||
\(45\) | 5.17720 | − | 1.02819i | 0.771772 | − | 0.153274i | ||||
\(46\) | −2.83103 | − | 0.919856i | −0.417412 | − | 0.135625i | ||||
\(47\) | −5.83749 | + | 0.613545i | −0.851486 | + | 0.0894948i | −0.520209 | − | 0.854039i | \(-0.674146\pi\) |
−0.331277 | + | 0.943534i | \(0.607479\pi\) | |||||||
\(48\) | 2.18044 | + | 8.36103i | 0.314719 | + | 1.20681i | ||||
\(49\) | −0.587414 | + | 0.652390i | −0.0839163 | + | 0.0931985i | ||||
\(50\) | 2.16764 | − | 2.40741i | 0.306551 | − | 0.340460i | ||||
\(51\) | −8.32069 | + | 8.21001i | −1.16513 | + | 1.14963i | ||||
\(52\) | 2.93052 | − | 0.308010i | 0.406389 | − | 0.0427133i | ||||
\(53\) | 3.88131 | + | 1.26111i | 0.533138 | + | 0.173227i | 0.563200 | − | 0.826321i | \(-0.309570\pi\) |
−0.0300612 | + | 0.999548i | \(0.509570\pi\) | |||||||
\(54\) | −4.66423 | − | 7.50825i | −0.634722 | − | 1.02174i | ||||
\(55\) | 5.80966 | + | 0.547398i | 0.783375 | + | 0.0738112i | ||||
\(56\) | −4.57454 | − | 2.64111i | −0.611298 | − | 0.352933i | ||||
\(57\) | −1.14922 | + | 2.21862i | −0.152218 | + | 0.293863i | ||||
\(58\) | 9.21253 | + | 4.10168i | 1.20966 | + | 0.538577i | ||||
\(59\) | −2.39577 | − | 0.251805i | −0.311902 | − | 0.0327822i | −0.0527157 | − | 0.998610i | \(-0.516788\pi\) |
−0.259186 | + | 0.965827i | \(0.583454\pi\) | |||||||
\(60\) | 2.53590 | + | 0.992971i | 0.327383 | + | 0.128192i | ||||
\(61\) | −1.18644 | + | 5.58175i | −0.151908 | + | 0.714670i | 0.834587 | + | 0.550877i | \(0.185706\pi\) |
−0.986495 | + | 0.163794i | \(0.947627\pi\) | |||||||
\(62\) | −6.70769 | − | 4.87342i | −0.851877 | − | 0.618925i | ||||
\(63\) | 8.21208 | + | 1.86080i | 1.03463 | + | 0.234439i | ||||
\(64\) | 0.600895 | − | 1.84936i | 0.0751119 | − | 0.231171i | ||||
\(65\) | −2.90069 | + | 5.02414i | −0.359786 | + | 0.623167i | ||||
\(66\) | −2.56765 | − | 9.42857i | −0.316056 | − | 1.16058i | ||||
\(67\) | 7.09560 | + | 12.2899i | 0.866865 | + | 1.50145i | 0.865183 | + | 0.501456i | \(0.167202\pi\) |
0.00168197 | + | 0.999999i | \(0.499465\pi\) | |||||||
\(68\) | −5.89933 | + | 1.25394i | −0.715399 | + | 0.152063i | ||||
\(69\) | −2.53083 | − | 1.66774i | −0.304677 | − | 0.200772i | ||||
\(70\) | −7.67419 | + | 3.41677i | −0.917241 | + | 0.408382i | ||||
\(71\) | −7.80443 | + | 2.53581i | −0.926215 | + | 0.300946i | −0.733014 | − | 0.680214i | \(-0.761887\pi\) |
−0.193201 | + | 0.981159i | \(0.561887\pi\) | |||||||
\(72\) | −0.0755997 | + | 5.64539i | −0.00890951 | + | 0.665316i | ||||
\(73\) | 5.29322 | − | 7.28550i | 0.619525 | − | 0.852703i | −0.377793 | − | 0.925890i | \(-0.623317\pi\) |
0.997318 | + | 0.0731871i | \(0.0233170\pi\) | |||||||
\(74\) | −0.655188 | − | 6.23369i | −0.0761640 | − | 0.724652i | ||||
\(75\) | 2.77830 | − | 1.77792i | 0.320811 | − | 0.205297i | ||||
\(76\) | −1.11645 | + | 0.644581i | −0.128065 | + | 0.0739386i | ||||
\(77\) | 8.11147 | + | 4.56734i | 0.924388 | + | 0.520497i | ||||
\(78\) | 9.58497 | + | 1.58396i | 1.08528 | + | 0.179349i | ||||
\(79\) | 10.7465 | − | 9.67621i | 1.20908 | − | 1.08866i | 0.215384 | − | 0.976529i | \(-0.430900\pi\) |
0.993694 | − | 0.112129i | \(-0.0357671\pi\) | |||||||
\(80\) | −5.15916 | − | 7.10098i | −0.576812 | − | 0.793914i | ||||
\(81\) | −2.55095 | − | 8.63091i | −0.283439 | − | 0.958990i | ||||
\(82\) | −1.69701 | − | 5.22286i | −0.187403 | − | 0.576768i | ||||
\(83\) | −0.976619 | − | 0.207587i | −0.107198 | − | 0.0227856i | 0.154000 | − | 0.988071i | \(-0.450784\pi\) |
−0.261198 | + | 0.965285i | \(0.584118\pi\) | |||||||
\(84\) | 3.05138 | + | 3.09251i | 0.332933 | + | 0.337421i | ||||
\(85\) | 4.82962 | − | 10.8475i | 0.523846 | − | 1.17658i | ||||
\(86\) | 3.08233 | + | 14.5012i | 0.332376 | + | 1.56371i | ||||
\(87\) | 7.93629 | + | 6.51514i | 0.850859 | + | 0.698496i | ||||
\(88\) | −1.86474 | + | 5.95672i | −0.198782 | + | 0.634989i | ||||
\(89\) | − | 14.0272i | − | 1.48688i | −0.668800 | − | 0.743442i | \(-0.733192\pi\) | ||
0.668800 | − | 0.743442i | \(-0.266808\pi\) | |||||||
\(90\) | 7.19269 | + | 5.37441i | 0.758177 | + | 0.566512i | ||||
\(91\) | −7.48719 | + | 5.43976i | −0.784871 | + | 0.570242i | ||||
\(92\) | −0.636063 | − | 1.42862i | −0.0663142 | − | 0.148944i | ||||
\(93\) | −5.26876 | − | 6.59619i | −0.546345 | − | 0.683993i | ||||
\(94\) | −7.42009 | − | 6.68108i | −0.765324 | − | 0.689101i | ||||
\(95\) | 0.265304 | − | 2.52420i | 0.0272196 | − | 0.258977i | ||||
\(96\) | −4.50049 | + | 6.82960i | −0.459330 | + | 0.697044i | ||||
\(97\) | −8.35844 | − | 9.28298i | −0.848671 | − | 0.942544i | 0.150266 | − | 0.988646i | \(-0.451987\pi\) |
−0.998937 | + | 0.0461014i | \(0.985320\pi\) | |||||||
\(98\) | −1.49334 | −0.150850 | ||||||||
\(99\) | 0.0260242 | − | 9.94984i | 0.00261554 | − | 0.999997i | ||||
\(100\) | 1.70187 | 0.170187 | ||||||||
\(101\) | −5.81615 | − | 6.45949i | −0.578728 | − | 0.642743i | 0.380699 | − | 0.924699i | \(-0.375683\pi\) |
−0.959427 | + | 0.281956i | \(0.909017\pi\) | |||||||
\(102\) | −19.8496 | − | 1.17359i | −1.96541 | − | 0.116202i | ||||
\(103\) | −1.68407 | + | 16.0229i | −0.165936 | + | 1.57878i | 0.521959 | + | 0.852971i | \(0.325201\pi\) |
−0.687896 | + | 0.725810i | \(0.741465\pi\) | |||||||
\(104\) | −4.61150 | − | 4.15221i | −0.452195 | − | 0.407158i | ||||
\(105\) | −8.45687 | + | 1.28146i | −0.825306 | + | 0.125057i | ||||
\(106\) | 2.82364 | + | 6.34199i | 0.274256 | + | 0.615989i | ||||
\(107\) | 7.84961 | − | 5.70308i | 0.758851 | − | 0.551337i | −0.139707 | − | 0.990193i | \(-0.544616\pi\) |
0.898558 | + | 0.438856i | \(0.144616\pi\) | |||||||
\(108\) | 1.29170 | − | 4.46033i | 0.124294 | − | 0.429196i | ||||
\(109\) | 12.3066i | 1.17876i | 0.807856 | + | 0.589380i | \(0.200628\pi\) | ||||
−0.807856 | + | 0.589380i | \(0.799372\pi\) | |||||||
\(110\) | 5.92081 | + | 7.96734i | 0.564527 | + | 0.759656i | ||||
\(111\) | 1.04057 | − | 6.29676i | 0.0987667 | − | 0.597662i | ||||
\(112\) | −2.91119 | − | 13.6961i | −0.275081 | − | 1.29416i | ||||
\(113\) | 2.75276 | − | 6.18279i | 0.258957 | − | 0.581628i | −0.736542 | − | 0.676391i | \(-0.763543\pi\) |
0.995500 | + | 0.0947634i | \(0.0302095\pi\) | |||||||
\(114\) | −4.11274 | + | 1.07255i | −0.385194 | + | 0.100453i | ||||
\(115\) | 3.01156 | + | 0.640128i | 0.280830 | + | 0.0596922i | ||||
\(116\) | 1.63712 | + | 5.03853i | 0.152003 | + | 0.467816i | ||||
\(117\) | 8.98198 | + | 4.14402i | 0.830384 | + | 0.383115i | ||||
\(118\) | −2.40864 | − | 3.31521i | −0.221734 | − | 0.305190i | ||||
\(119\) | 14.0768 | − | 12.6748i | 1.29042 | − | 1.16190i | ||||
\(120\) | −2.01941 | − | 5.36789i | −0.184346 | − | 0.490019i | ||||
\(121\) | 3.17297 | − | 10.5324i | 0.288451 | − | 0.957495i | ||||
\(122\) | −8.40661 | + | 4.85356i | −0.761098 | + | 0.439420i | ||||
\(123\) | −0.255251 | − | 5.58581i | −0.0230152 | − | 0.503655i | ||||
\(124\) | −0.455301 | − | 4.33190i | −0.0408873 | − | 0.389016i | ||||
\(125\) | −7.14031 | + | 9.82780i | −0.638649 | + | 0.879025i | ||||
\(126\) | 6.99502 | + | 12.4993i | 0.623166 | + | 1.11353i | ||||
\(127\) | 0.223004 | − | 0.0724583i | 0.0197884 | − | 0.00642964i | −0.299106 | − | 0.954220i | \(-0.596688\pi\) |
0.318894 | + | 0.947790i | \(0.396688\pi\) | |||||||
\(128\) | 11.6497 | − | 5.18680i | 1.02970 | − | 0.458453i | ||||
\(129\) | −0.890927 | + | 15.0688i | −0.0784417 | + | 1.32673i | ||||
\(130\) | −9.65293 | + | 2.05179i | −0.846618 | + | 0.179954i | ||||
\(131\) | 3.03335 | + | 5.25392i | 0.265025 | + | 0.459037i | 0.967570 | − | 0.252602i | \(-0.0812863\pi\) |
−0.702545 | + | 0.711639i | \(0.747953\pi\) | |||||||
\(132\) | 2.77842 | − | 4.31685i | 0.241831 | − | 0.375733i | ||||
\(133\) | 2.02446 | − | 3.50647i | 0.175543 | − | 0.304049i | ||||
\(134\) | −7.45977 | + | 22.9588i | −0.644426 | + | 1.98334i | ||||
\(135\) | 5.60958 | + | 7.21903i | 0.482796 | + | 0.621315i | ||||
\(136\) | 10.2753 | + | 7.46545i | 0.881101 | + | 0.640157i | ||||
\(137\) | −3.36915 | + | 15.8506i | −0.287846 | + | 1.35421i | 0.561983 | + | 0.827148i | \(0.310038\pi\) |
−0.849829 | + | 0.527059i | \(0.823295\pi\) | |||||||
\(138\) | −0.772436 | − | 5.09764i | −0.0657542 | − | 0.433940i | ||||
\(139\) | 0.774001 | + | 0.0813508i | 0.0656499 | + | 0.00690008i | 0.137296 | − | 0.990530i | \(-0.456159\pi\) |
−0.0716466 | + | 0.997430i | \(0.522825\pi\) | |||||||
\(140\) | −4.03164 | − | 1.79500i | −0.340736 | − | 0.151705i | ||||
\(141\) | −5.47988 | − | 8.56325i | −0.461489 | − | 0.721156i | ||||
\(142\) | −12.0890 | − | 6.97957i | −1.01448 | − | 0.585712i | ||||
\(143\) | 8.20530 | + | 7.22953i | 0.686162 | + | 0.604564i | ||||
\(144\) | −11.2551 | + | 9.86444i | −0.937921 | + | 0.822036i | ||||
\(145\) | −9.91985 | − | 3.22315i | −0.823799 | − | 0.267668i | ||||
\(146\) | 15.2349 | − | 1.60125i | 1.26085 | − | 0.132521i | ||||
\(147\) | −1.46605 | − | 0.403366i | −0.120918 | − | 0.0332691i | ||||
\(148\) | 2.20339 | − | 2.44711i | 0.181117 | − | 0.201151i | ||||
\(149\) | 8.58594 | − | 9.53566i | 0.703388 | − | 0.781191i | −0.280524 | − | 0.959847i | \(-0.590508\pi\) |
0.983912 | + | 0.178656i | \(0.0571748\pi\) | |||||||
\(150\) | 5.40993 | + | 1.48848i | 0.441719 | + | 0.121534i | ||||
\(151\) | −10.2181 | + | 1.07397i | −0.831539 | + | 0.0873982i | −0.510725 | − | 0.859744i | \(-0.670623\pi\) |
−0.320814 | + | 0.947142i | \(0.603956\pi\) | |||||||
\(152\) | 2.58198 | + | 0.838936i | 0.209426 | + | 0.0680467i | ||||
\(153\) | −19.1699 | − | 6.51374i | −1.54980 | − | 0.526605i | ||||
\(154\) | 3.45904 | + | 15.4528i | 0.278737 | + | 1.24522i | ||||
\(155\) | 7.42670 | + | 4.28781i | 0.596527 | + | 0.344405i | ||||
\(156\) | 2.75099 | + | 4.29889i | 0.220255 | + | 0.344187i | ||||
\(157\) | 16.8808 | + | 7.51583i | 1.34724 | + | 0.599828i | 0.948366 | − | 0.317179i | \(-0.102735\pi\) |
0.398871 | + | 0.917007i | \(0.369402\pi\) | |||||||
\(158\) | 24.4643 | + | 2.57130i | 1.94627 | + | 0.204562i | ||||
\(159\) | 1.05900 | + | 6.98880i | 0.0839843 | + | 0.554248i | ||||
\(160\) | 1.72742 | − | 8.12688i | 0.136565 | − | 0.642486i | ||||
\(161\) | 3.97353 | + | 2.88694i | 0.313158 | + | 0.227522i | ||||
\(162\) | 8.00714 | − | 13.0488i | 0.629100 | − | 1.02521i | ||||
\(163\) | −2.49626 | + | 7.68270i | −0.195522 | + | 0.601756i | 0.804448 | + | 0.594023i | \(0.202461\pi\) |
−0.999970 | + | 0.00773239i | \(0.997539\pi\) | |||||||
\(164\) | 1.44252 | − | 2.49851i | 0.112642 | − | 0.195101i | ||||
\(165\) | 3.66056 | + | 9.42103i | 0.284974 | + | 0.733426i | ||||
\(166\) | −0.849209 | − | 1.47087i | −0.0659114 | − | 0.114162i | ||||
\(167\) | −6.62741 | + | 1.40870i | −0.512845 | + | 0.109008i | −0.457063 | − | 0.889434i | \(-0.651098\pi\) |
−0.0557819 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(168\) | 0.539986 | − | 9.13312i | 0.0416608 | − | 0.704636i | ||||
\(169\) | 1.94393 | − | 0.865494i | 0.149533 | − | 0.0665764i | ||||
\(170\) | 19.2101 | − | 6.24174i | 1.47335 | − | 0.478720i | ||||
\(171\) | −4.32730 | − | 0.0579486i | −0.330917 | − | 0.00443144i | ||||
\(172\) | −4.57791 | + | 6.30096i | −0.349063 | + | 0.480444i | ||||
\(173\) | 0.522437 | + | 4.97066i | 0.0397202 | + | 0.377912i | 0.996266 | + | 0.0863317i | \(0.0275145\pi\) |
−0.956546 | + | 0.291581i | \(0.905819\pi\) | |||||||
\(174\) | 0.797330 | + | 17.4484i | 0.0604454 | + | 1.32276i | ||||
\(175\) | −4.62901 | + | 2.67256i | −0.349921 | + | 0.202027i | ||||
\(176\) | −15.0418 | + | 6.89218i | −1.13382 | + | 0.519518i | ||||
\(177\) | −1.46916 | − | 3.90524i | −0.110429 | − | 0.293536i | ||||
\(178\) | 17.7325 | − | 15.9664i | 1.32911 | − | 1.19673i | ||||
\(179\) | −2.07499 | − | 2.85598i | −0.155092 | − | 0.213466i | 0.724400 | − | 0.689380i | \(-0.242117\pi\) |
−0.879491 | + | 0.475915i | \(0.842117\pi\) | |||||||
\(180\) | 0.430203 | + | 4.69737i | 0.0320655 | + | 0.350121i | ||||
\(181\) | −4.32686 | − | 13.3167i | −0.321613 | − | 0.989823i | −0.972946 | − | 0.231031i | \(-0.925790\pi\) |
0.651333 | − | 0.758792i | \(-0.274210\pi\) | |||||||
\(182\) | −15.3989 | − | 3.27314i | −1.14144 | − | 0.242621i | ||||
\(183\) | −9.56399 | + | 2.49416i | −0.706991 | + | 0.184373i | ||||
\(184\) | −1.33949 | + | 3.00854i | −0.0987484 | + | 0.221793i | ||||
\(185\) | 1.34791 | + | 6.34141i | 0.0991001 | + | 0.466229i | ||||
\(186\) | 2.34142 | − | 14.1685i | 0.171682 | − | 1.03889i | ||||
\(187\) | −18.2491 | − | 12.9606i | −1.33451 | − | 0.947775i | ||||
\(188\) | − | 5.24548i | − | 0.382566i | ||||||
\(189\) | 3.49100 | + | 14.1604i | 0.253933 | + | 1.03001i | ||||
\(190\) | 3.49293 | − | 2.53776i | 0.253404 | − | 0.184109i | ||||
\(191\) | −2.37120 | − | 5.32579i | −0.171574 | − | 0.385361i | 0.807208 | − | 0.590267i | \(-0.200978\pi\) |
−0.978782 | + | 0.204906i | \(0.934311\pi\) | |||||||
\(192\) | 3.33002 | − | 0.504593i | 0.240324 | − | 0.0364159i | ||||
\(193\) | −0.0916581 | − | 0.0825293i | −0.00659769 | − | 0.00594059i | 0.665825 | − | 0.746108i | \(-0.268080\pi\) |
−0.672423 | + | 0.740167i | \(0.734746\pi\) | |||||||
\(194\) | 2.22112 | − | 21.1326i | 0.159467 | − | 1.51723i | ||||
\(195\) | −10.0308 | − | 0.593057i | −0.718317 | − | 0.0424697i | ||||
\(196\) | −0.524950 | − | 0.583015i | −0.0374964 | − | 0.0416440i | ||||
\(197\) | 2.67501 | 0.190586 | 0.0952932 | − | 0.995449i | \(-0.469621\pi\) | ||||
0.0952932 | + | 0.995449i | \(0.469621\pi\) | |||||||
\(198\) | 12.6077 | − | 11.2924i | 0.895988 | − | 0.802518i | ||||
\(199\) | −23.4261 | −1.66063 | −0.830314 | − | 0.557295i | \(-0.811839\pi\) | ||||
−0.830314 | + | 0.557295i | \(0.811839\pi\) | |||||||
\(200\) | −2.39815 | − | 2.66341i | −0.169575 | − | 0.188332i | ||||
\(201\) | −13.5249 | + | 20.5243i | −0.953971 | + | 1.44767i | ||||
\(202\) | 1.54555 | − | 14.7049i | 0.108745 | − | 1.03463i | ||||
\(203\) | −12.3653 | − | 11.1337i | −0.867870 | − | 0.781434i | ||||
\(204\) | −6.51952 | − | 8.16207i | −0.456458 | − | 0.571459i | ||||
\(205\) | 2.31028 | + | 5.18898i | 0.161357 | + | 0.362414i | ||||
\(206\) | −22.1721 | + | 16.1090i | −1.54481 | + | 1.12237i | ||||
\(207\) | 0.618604 | − | 5.21313i | 0.0429960 | − | 0.362338i | ||||
\(208\) | − | 16.4492i | − | 1.14054i | ||||||
\(209\) | −4.56594 | − | 1.42936i | −0.315833 | − | 0.0988708i | ||||
\(210\) | −11.2459 | − | 9.23211i | −0.776042 | − | 0.637076i | ||||
\(211\) | 1.94044 | + | 9.12907i | 0.133586 | + | 0.628471i | 0.993091 | + | 0.117345i | \(0.0374383\pi\) |
−0.859506 | + | 0.511126i | \(0.829228\pi\) | |||||||
\(212\) | −1.48340 | + | 3.33177i | −0.101880 | + | 0.228827i | ||||
\(213\) | −9.98282 | − | 10.1174i | −0.684011 | − | 0.693233i | ||||
\(214\) | 16.1443 | + | 3.43157i | 1.10360 | + | 0.234578i | ||||
\(215\) | −4.73841 | − | 14.5833i | −0.323157 | − | 0.994574i | ||||
\(216\) | −8.80055 | + | 4.26367i | −0.598802 | + | 0.290106i | ||||
\(217\) | 8.04109 | + | 11.0676i | 0.545865 | + | 0.751318i | ||||
\(218\) | −15.5574 | + | 14.0079i | −1.05368 | + | 0.948736i | ||||
\(219\) | 15.3890 | + | 2.54312i | 1.03989 | + | 0.171848i | ||||
\(220\) | −1.02921 | + | 5.11230i | −0.0693891 | + | 0.344671i | ||||
\(221\) | 19.2714 | − | 11.1263i | 1.29633 | − | 0.748439i | ||||
\(222\) | 9.14445 | − | 5.85181i | 0.613735 | − | 0.392748i | ||||
\(223\) | −0.359136 | − | 3.41695i | −0.0240495 | − | 0.228816i | −0.999944 | − | 0.0105734i | \(-0.996634\pi\) |
0.975895 | − | 0.218242i | \(-0.0700323\pi\) | |||||||
\(224\) | 7.79056 | − | 10.7228i | 0.520529 | − | 0.716447i | ||||
\(225\) | 4.90903 | + | 2.92256i | 0.327269 | + | 0.194838i | ||||
\(226\) | 10.9493 | − | 3.55763i | 0.728334 | − | 0.236650i | ||||
\(227\) | −21.9391 | + | 9.76793i | −1.45615 | + | 0.648320i | −0.973748 | − | 0.227629i | \(-0.926903\pi\) |
−0.482403 | + | 0.875949i | \(0.660236\pi\) | |||||||
\(228\) | −1.86448 | − | 1.22863i | −0.123478 | − | 0.0813682i | ||||
\(229\) | 1.84501 | − | 0.392169i | 0.121922 | − | 0.0259153i | −0.146547 | − | 0.989204i | \(-0.546816\pi\) |
0.268468 | + | 0.963288i | \(0.413483\pi\) | |||||||
\(230\) | 2.61867 | + | 4.53568i | 0.172670 | + | 0.299074i | ||||
\(231\) | −0.778146 | + | 16.1048i | −0.0511983 | + | 1.05962i | ||||
\(232\) | 5.57836 | − | 9.66201i | 0.366237 | − | 0.634342i | ||||
\(233\) | 2.04683 | − | 6.29949i | 0.134092 | − | 0.412693i | −0.861356 | − | 0.508003i | \(-0.830384\pi\) |
0.995448 | + | 0.0953094i | \(0.0303841\pi\) | |||||||
\(234\) | 4.98502 | + | 16.0714i | 0.325881 | + | 1.05062i | ||||
\(235\) | 8.35494 | + | 6.07022i | 0.545017 | + | 0.395978i | ||||
\(236\) | 0.447592 | − | 2.10575i | 0.0291357 | − | 0.137073i | ||||
\(237\) | 23.3227 | + | 9.13238i | 1.51497 | + | 0.593212i | ||||
\(238\) | 32.0456 | + | 3.36813i | 2.07721 | + | 0.218323i | ||||
\(239\) | −19.8081 | − | 8.81916i | −1.28128 | − | 0.570464i | −0.350680 | − | 0.936495i | \(-0.614050\pi\) |
−0.930602 | + | 0.366032i | \(0.880716\pi\) | |||||||
\(240\) | 6.99243 | − | 13.4992i | 0.451359 | − | 0.871370i | ||||
\(241\) | 4.20369 | + | 2.42700i | 0.270784 | + | 0.156337i | 0.629244 | − | 0.777208i | \(-0.283365\pi\) |
−0.358460 | + | 0.933545i | \(0.616698\pi\) | |||||||
\(242\) | 16.9261 | − | 7.97738i | 1.08805 | − | 0.512805i | ||||
\(243\) | 11.3855 | − | 10.6476i | 0.730378 | − | 0.683044i | ||||
\(244\) | −4.85004 | − | 1.57587i | −0.310492 | − | 0.100885i | ||||
\(245\) | 1.53611 | − | 0.161452i | 0.0981384 | − | 0.0103148i | ||||
\(246\) | 6.77074 | − | 6.68067i | 0.431686 | − | 0.425944i | ||||
\(247\) | 3.18275 | − | 3.53480i | 0.202513 | − | 0.224914i | ||||
\(248\) | −6.13782 | + | 6.81674i | −0.389752 | + | 0.432864i | ||||
\(249\) | −0.436393 | − | 1.67338i | −0.0276553 | − | 0.106046i | ||||
\(250\) | −20.5512 | + | 2.16002i | −1.29977 | + | 0.136611i | ||||
\(251\) | −8.17445 | − | 2.65604i | −0.515967 | − | 0.167648i | 0.0394474 | − | 0.999222i | \(-0.487440\pi\) |
−0.555414 | + | 0.831574i | \(0.687440\pi\) | |||||||
\(252\) | −2.42093 | + | 7.12480i | −0.152504 | + | 0.448820i | ||||
\(253\) | 2.30334 | − | 5.32713i | 0.144810 | − | 0.334914i | ||||
\(254\) | 0.345430 | + | 0.199434i | 0.0216742 | + | 0.0125136i | ||||
\(255\) | 20.5450 | − | 0.938834i | 1.28658 | − | 0.0587920i | ||||
\(256\) | 16.2643 | + | 7.24132i | 1.01652 | + | 0.452582i | ||||
\(257\) | −5.28313 | − | 0.555280i | −0.329553 | − | 0.0346374i | −0.0616926 | − | 0.998095i | \(-0.519650\pi\) |
−0.267860 | + | 0.963458i | \(0.586317\pi\) | |||||||
\(258\) | −20.0633 | + | 16.0257i | −1.24908 | + | 0.997716i | ||||
\(259\) | −2.15026 | + | 10.1162i | −0.133611 | + | 0.628588i | ||||
\(260\) | −4.19432 | − | 3.04735i | −0.260121 | − | 0.188989i | ||||
\(261\) | −3.93025 | + | 17.3450i | −0.243276 | + | 1.07363i | ||||
\(262\) | −3.18903 | + | 9.81484i | −0.197019 | + | 0.606363i | ||||
\(263\) | 8.08529 | − | 14.0041i | 0.498560 | − | 0.863532i | −0.501438 | − | 0.865194i | \(-0.667196\pi\) |
0.999999 | + | 0.00166141i | \(0.000528842\pi\) | |||||||
\(264\) | −10.6710 | + | 1.73477i | −0.656754 | + | 0.106768i | ||||
\(265\) | −3.59017 | − | 6.21836i | −0.220543 | − | 0.381991i | ||||
\(266\) | 6.73702 | − | 1.43200i | 0.413073 | − | 0.0878014i | ||||
\(267\) | 21.7212 | − | 10.8849i | 1.32931 | − | 0.666146i | ||||
\(268\) | −11.5857 | + | 5.15828i | −0.707709 | + | 0.315092i | ||||
\(269\) | 10.0420 | − | 3.26285i | 0.612274 | − | 0.198940i | 0.0135667 | − | 0.999908i | \(-0.495681\pi\) |
0.598707 | + | 0.800968i | \(0.295681\pi\) | |||||||
\(270\) | −2.74085 | + | 15.3083i | −0.166803 | + | 0.931636i | ||||
\(271\) | 2.99871 | − | 4.12736i | 0.182158 | − | 0.250719i | −0.708166 | − | 0.706046i | \(-0.750477\pi\) |
0.890325 | + | 0.455326i | \(0.150477\pi\) | |||||||
\(272\) | 3.51922 | + | 33.4832i | 0.213384 | + | 2.03022i | ||||
\(273\) | −14.2334 | − | 7.37274i | −0.861445 | − | 0.446218i | ||||
\(274\) | −23.8724 | + | 13.7827i | −1.44218 | + | 0.832644i | ||||
\(275\) | 4.27663 | + | 4.64797i | 0.257891 | + | 0.280283i | ||||
\(276\) | 1.71864 | − | 2.09353i | 0.103450 | − | 0.126016i | ||||
\(277\) | −17.9340 | + | 16.1479i | −1.07755 | + | 0.970232i | −0.999643 | − | 0.0267280i | \(-0.991491\pi\) |
−0.0779096 | + | 0.996960i | \(0.524825\pi\) | |||||||
\(278\) | 0.778161 | + | 1.07105i | 0.0466710 | + | 0.0642371i | ||||
\(279\) | 6.12572 | − | 13.2772i | 0.366737 | − | 0.794886i | ||||
\(280\) | 2.87192 | + | 8.83887i | 0.171630 | + | 0.528224i | ||||
\(281\) | −11.3526 | − | 2.41308i | −0.677242 | − | 0.143952i | −0.143565 | − | 0.989641i | \(-0.545857\pi\) |
−0.533677 | + | 0.845689i | \(0.679190\pi\) | |||||||
\(282\) | 4.58777 | − | 16.6744i | 0.273198 | − | 0.992947i | ||||
\(283\) | 6.00678 | − | 13.4914i | 0.357066 | − | 0.801983i | −0.642303 | − | 0.766451i | \(-0.722021\pi\) |
0.999369 | − | 0.0355322i | \(-0.0113126\pi\) | |||||||
\(284\) | −1.52471 | − | 7.17319i | −0.0904748 | − | 0.425650i | ||||
\(285\) | 4.11458 | − | 1.54791i | 0.243727 | − | 0.0916905i | ||||
\(286\) | 0.200442 | + | 18.6017i | 0.0118524 | + | 1.09994i | ||||
\(287\) | 9.06114i | 0.534862i | ||||||||
\(288\) | −14.0679 | − | 1.66934i | −0.828962 | − | 0.0983668i | ||||
\(289\) | −23.0943 | + | 16.7790i | −1.35849 | + | 0.986999i | ||||
\(290\) | −7.21665 | − | 16.2089i | −0.423777 | − | 0.951818i | ||||
\(291\) | 7.88867 | − | 20.1465i | 0.462442 | − | 1.18101i | ||||
\(292\) | 5.98064 | + | 5.38500i | 0.349991 | + | 0.315133i | ||||
\(293\) | −2.15051 | + | 20.4608i | −0.125634 | + | 1.19533i | 0.732085 | + | 0.681213i | \(0.238547\pi\) |
−0.857720 | + | 0.514118i | \(0.828119\pi\) | |||||||
\(294\) | −1.15881 | − | 2.31243i | −0.0675829 | − | 0.134864i | ||||
\(295\) | 2.83606 | + | 3.14976i | 0.165122 | + | 0.183386i | ||||
\(296\) | −6.93457 | −0.403063 | ||||||||
\(297\) | 15.4275 | − | 7.68062i | 0.895195 | − | 0.445675i | ||||
\(298\) | 21.8273 | 1.26442 | ||||||||
\(299\) | 3.86084 | + | 4.28789i | 0.223278 | + | 0.247975i | ||||
\(300\) | 1.32062 | + | 2.63534i | 0.0762463 | + | 0.152152i | ||||
\(301\) | 2.55691 | − | 24.3274i | 0.147378 | − | 1.40221i | ||||
\(302\) | −12.9883 | − | 11.6948i | −0.747395 | − | 0.672958i | ||||
\(303\) | 5.48927 | − | 14.0188i | 0.315350 | − | 0.805357i | ||||
\(304\) | 2.92708 | + | 6.57433i | 0.167880 | + | 0.377064i | ||||
\(305\) | 8.12265 | − | 5.90145i | 0.465102 | − | 0.337916i | ||||
\(306\) | −13.5857 | − | 31.6478i | −0.776643 | − | 1.80918i | ||||
\(307\) | − | 5.48347i | − | 0.312958i | −0.987681 | − | 0.156479i | \(-0.949986\pi\) | ||
0.987681 | − | 0.156479i | \(-0.0500144\pi\) | |||||||
\(308\) | −4.81702 | + | 6.78255i | −0.274475 | + | 0.386472i | ||||
\(309\) | −26.1182 | + | 9.82571i | −1.48581 | + | 0.558965i | ||||
\(310\) | 3.03297 | + | 14.2690i | 0.172261 | + | 0.810425i | ||||
\(311\) | −4.49727 | + | 10.1010i | −0.255017 | + | 0.572777i | −0.995003 | − | 0.0998449i | \(-0.968165\pi\) |
0.739986 | + | 0.672622i | \(0.234832\pi\) | |||||||
\(312\) | 2.85124 | − | 10.3630i | 0.161420 | − | 0.586687i | ||||
\(313\) | −1.29433 | − | 0.275117i | −0.0731596 | − | 0.0155506i | 0.171186 | − | 0.985239i | \(-0.445240\pi\) |
−0.244346 | + | 0.969688i | \(0.578573\pi\) | |||||||
\(314\) | 9.71337 | + | 29.8947i | 0.548157 | + | 1.68705i | ||||
\(315\) | −8.54673 | − | 12.1011i | −0.481554 | − | 0.681818i | ||||
\(316\) | 7.59602 | + | 10.4550i | 0.427309 | + | 0.588141i | ||||
\(317\) | −4.94239 | + | 4.45015i | −0.277592 | + | 0.249945i | −0.796153 | − | 0.605096i | \(-0.793135\pi\) |
0.518560 | + | 0.855041i | \(0.326468\pi\) | |||||||
\(318\) | −7.62947 | + | 9.29368i | −0.427839 | + | 0.521164i | ||||
\(319\) | −9.64681 | + | 17.1325i | −0.540118 | + | 0.959234i | ||||
\(320\) | −2.96293 | + | 1.71065i | −0.165633 | + | 0.0956280i | ||||
\(321\) | 14.9224 | + | 7.72962i | 0.832886 | + | 0.431425i | ||||
\(322\) | 0.873327 | + | 8.30915i | 0.0486686 | + | 0.463051i | ||||
\(323\) | −5.72241 | + | 7.87622i | −0.318403 | + | 0.438245i | ||||
\(324\) | 7.90915 | − | 1.46096i | 0.439397 | − | 0.0811643i | ||||
\(325\) | −5.97195 | + | 1.94041i | −0.331264 | + | 0.107634i | ||||
\(326\) | −12.5534 | + | 5.58914i | −0.695269 | + | 0.309554i | ||||
\(327\) | −19.0568 | + | 9.54974i | −1.05384 | + | 0.528102i | ||||
\(328\) | −5.94285 | + | 1.26319i | −0.328139 | + | 0.0697480i | ||||
\(329\) | 8.23733 | + | 14.2675i | 0.454139 | + | 0.786592i | ||||
\(330\) | −7.74295 | + | 15.3509i | −0.426235 | + | 0.845039i | ||||
\(331\) | 11.7778 | − | 20.3997i | 0.647366 | − | 1.12127i | −0.336383 | − | 0.941725i | \(-0.609204\pi\) |
0.983750 | − | 0.179546i | \(-0.0574628\pi\) | |||||||
\(332\) | 0.275725 | − | 0.848595i | 0.0151324 | − | 0.0465727i | ||||
\(333\) | 10.5580 | − | 3.27487i | 0.578575 | − | 0.179462i | ||||
\(334\) | −9.32441 | − | 6.77458i | −0.510209 | − | 0.370688i | ||||
\(335\) | 5.19125 | − | 24.4229i | 0.283628 | − | 1.33437i | ||||
\(336\) | 18.9493 | − | 15.1359i | 1.03377 | − | 0.825731i | ||||
\(337\) | −15.0203 | − | 1.57870i | −0.818208 | − | 0.0859972i | −0.313829 | − | 0.949479i | \(-0.601612\pi\) |
−0.504379 | + | 0.863482i | \(0.668279\pi\) | |||||||
\(338\) | 3.30677 | + | 1.47227i | 0.179865 | + | 0.0800810i | ||||
\(339\) | 11.7101 | − | 0.535111i | 0.636007 | − | 0.0290632i | ||||
\(340\) | 9.18974 | + | 5.30570i | 0.498384 | + | 0.287742i | ||||
\(341\) | 10.6867 | − | 12.1291i | 0.578719 | − | 0.656829i | ||||
\(342\) | −4.85226 | − | 5.53630i | −0.262380 | − | 0.299369i | ||||
\(343\) | −16.3423 | − | 5.30993i | −0.882401 | − | 0.286709i | ||||
\(344\) | 16.3118 | − | 1.71444i | 0.879474 | − | 0.0924364i | ||||
\(345\) | 1.34569 | + | 5.16013i | 0.0724495 | + | 0.277812i | ||||
\(346\) | −5.68898 | + | 6.31825i | −0.305842 | + | 0.339671i | ||||
\(347\) | 14.4708 | − | 16.0714i | 0.776833 | − | 0.862760i | −0.216708 | − | 0.976237i | \(-0.569532\pi\) |
0.993541 | + | 0.113476i | \(0.0361986\pi\) | |||||||
\(348\) | −6.53178 | + | 6.44490i | −0.350140 | + | 0.345483i | ||||
\(349\) | 18.6504 | − | 1.96024i | 0.998334 | − | 0.104929i | 0.408759 | − | 0.912642i | \(-0.365962\pi\) |
0.589575 | + | 0.807713i | \(0.299295\pi\) | |||||||
\(350\) | −8.64745 | − | 2.80973i | −0.462226 | − | 0.150186i | ||||
\(351\) | 0.552861 | + | 17.1243i | 0.0295095 | + | 0.914027i | ||||
\(352\) | −14.3756 | − | 6.21570i | −0.766221 | − | 0.331298i | ||||
\(353\) | 24.8781 | + | 14.3634i | 1.32413 | + | 0.764485i | 0.984384 | − | 0.176033i | \(-0.0563265\pi\) |
0.339743 | + | 0.940518i | \(0.389660\pi\) | |||||||
\(354\) | 3.26453 | − | 6.30233i | 0.173508 | − | 0.334965i | ||||
\(355\) | 13.1898 | + | 5.87249i | 0.700043 | + | 0.311679i | ||||
\(356\) | 12.4669 | + | 1.31033i | 0.660746 | + | 0.0694472i | ||||
\(357\) | 30.5503 | + | 11.9624i | 1.61689 | + | 0.633120i | ||||
\(358\) | 1.24853 | − | 5.87388i | 0.0659870 | − | 0.310444i | ||||
\(359\) | 0.595876 | + | 0.432930i | 0.0314492 | + | 0.0228491i | 0.603399 | − | 0.797440i | \(-0.293813\pi\) |
−0.571950 | + | 0.820289i | \(0.693813\pi\) | |||||||
\(360\) | 6.74513 | − | 7.29245i | 0.355500 | − | 0.384346i | ||||
\(361\) | 5.22826 | − | 16.0909i | 0.275172 | − | 0.846891i | ||||
\(362\) | 11.9093 | − | 20.6274i | 0.625936 | − | 1.08415i | ||||
\(363\) | 18.7716 | − | 3.25968i | 0.985256 | − | 0.171089i | ||||
\(364\) | −4.13527 | − | 7.16251i | −0.216747 | − | 0.375417i | ||||
\(365\) | −15.4981 | + | 3.29423i | −0.811210 | + | 0.172428i | ||||
\(366\) | −14.0391 | − | 9.25133i | −0.733837 | − | 0.483575i | ||||
\(367\) | 4.71735 | − | 2.10030i | 0.246244 | − | 0.109635i | −0.279904 | − | 0.960028i | \(-0.590303\pi\) |
0.526148 | + | 0.850393i | \(0.323636\pi\) | |||||||
\(368\) | −8.30246 | + | 2.69763i | −0.432796 | + | 0.140624i | ||||
\(369\) | 8.45154 | − | 4.72975i | 0.439970 | − | 0.246221i | ||||
\(370\) | −6.48222 | + | 8.92201i | −0.336995 | + | 0.463833i | ||||
\(371\) | −1.19732 | − | 11.3918i | −0.0621618 | − | 0.591430i | ||||
\(372\) | 6.35464 | − | 4.06652i | 0.329473 | − | 0.210839i | ||||
\(373\) | −10.3318 | + | 5.96510i | −0.534963 | + | 0.308861i | −0.743035 | − | 0.669253i | \(-0.766614\pi\) |
0.208072 | + | 0.978113i | \(0.433281\pi\) | |||||||
\(374\) | −4.38775 | − | 37.8219i | −0.226885 | − | 1.95572i | ||||
\(375\) | −20.7591 | − | 3.43055i | −1.07200 | − | 0.177153i | ||||
\(376\) | −8.20914 | + | 7.39154i | −0.423354 | + | 0.381190i | ||||
\(377\) | −11.4895 | − | 15.8139i | −0.591738 | − | 0.814458i | ||||
\(378\) | −13.9271 | + | 20.5311i | −0.716335 | + | 1.05600i | ||||
\(379\) | 2.53286 | + | 7.79533i | 0.130104 | + | 0.400419i | 0.994796 | − | 0.101883i | \(-0.0324866\pi\) |
−0.864692 | + | 0.502302i | \(0.832487\pi\) | |||||||
\(380\) | 2.21864 | + | 0.471586i | 0.113814 | + | 0.0241918i | ||||
\(381\) | 0.285249 | + | 0.289095i | 0.0146138 | + | 0.0148108i | ||||
\(382\) | 4.03358 | − | 9.05958i | 0.206376 | − | 0.463528i | ||||
\(383\) | 4.84095 | + | 22.7749i | 0.247361 | + | 1.16374i | 0.909937 | + | 0.414747i | \(0.136130\pi\) |
−0.662576 | + | 0.748995i | \(0.730537\pi\) | |||||||
\(384\) | 17.0718 | + | 14.0147i | 0.871190 | + | 0.715187i | ||||
\(385\) | −5.22879 | − | 15.5215i | −0.266484 | − | 0.791047i | ||||
\(386\) | − | 0.209808i | − | 0.0106789i | ||||||
\(387\) | −24.0254 | + | 10.3136i | −1.22128 | + | 0.524268i | ||||
\(388\) | 9.03119 | − | 6.56154i | 0.458489 | − | 0.333112i | ||||
\(389\) | 5.26699 | + | 11.8299i | 0.267047 | + | 0.599798i | 0.996441 | − | 0.0842965i | \(-0.0268643\pi\) |
−0.729394 | + | 0.684094i | \(0.760198\pi\) | |||||||
\(390\) | −10.6677 | − | 13.3554i | −0.540181 | − | 0.676276i | ||||
\(391\) | −8.77633 | − | 7.90224i | −0.443838 | − | 0.399634i | ||||
\(392\) | −0.172695 | + | 1.64308i | −0.00872242 | + | 0.0829883i | ||||
\(393\) | −5.78186 | + | 8.77411i | −0.291656 | + | 0.442595i | ||||
\(394\) | 3.04481 | + | 3.38160i | 0.153395 | + | 0.170363i | ||||
\(395\) | −25.4430 | −1.28018 | ||||||||
\(396\) | 8.84065 | + | 0.952574i | 0.444259 | + | 0.0478687i | ||||
\(397\) | 10.8950 | 0.546802 | 0.273401 | − | 0.961900i | \(-0.411851\pi\) | ||||
0.273401 | + | 0.961900i | \(0.411851\pi\) | |||||||
\(398\) | −26.6645 | − | 29.6140i | −1.33657 | − | 1.48441i | ||||
\(399\) | 7.00071 | + | 0.413910i | 0.350474 | + | 0.0207214i | ||||
\(400\) | 0.993058 | − | 9.44832i | 0.0496529 | − | 0.472416i | ||||
\(401\) | 23.4039 | + | 21.0730i | 1.16873 | + | 1.05233i | 0.997749 | + | 0.0670595i | \(0.0213617\pi\) |
0.170985 | + | 0.985274i | \(0.445305\pi\) | |||||||
\(402\) | −41.3403 | + | 6.26423i | −2.06187 | + | 0.312432i | ||||
\(403\) | 6.53675 | + | 14.6818i | 0.325618 | + | 0.731351i | ||||
\(404\) | 6.28428 | − | 4.56579i | 0.312654 | − | 0.227157i | ||||
\(405\) | −6.82571 | + | 14.2883i | −0.339172 | + | 0.709990i | ||||
\(406\) | − | 28.3044i | − | 1.40472i | ||||||
\(407\) | 12.2202 | − | 0.131678i | 0.605733 | − | 0.00652706i | ||||
\(408\) | −3.58676 | + | 21.7044i | −0.177571 | + | 1.07453i | ||||
\(409\) | −3.49732 | − | 16.4536i | −0.172932 | − | 0.813579i | −0.976013 | − | 0.217710i | \(-0.930141\pi\) |
0.803082 | − | 0.595869i | \(-0.203192\pi\) | |||||||
\(410\) | −3.92997 | + | 8.82686i | −0.194087 | + | 0.435927i | ||||
\(411\) | −27.1590 | + | 7.08269i | −1.33966 | + | 0.349363i | ||||
\(412\) | −14.0833 | − | 2.99349i | −0.693833 | − | 0.147479i | ||||
\(413\) | 2.08938 | + | 6.43044i | 0.102812 | + | 0.316421i | ||||
\(414\) | 7.29428 | − | 5.15180i | 0.358494 | − | 0.253197i | ||||
\(415\) | 1.03256 | + | 1.42119i | 0.0506862 | + | 0.0697635i | ||||
\(416\) | 11.5711 | − | 10.4187i | 0.567321 | − | 0.510819i | ||||
\(417\) | 0.474641 | + | 1.26167i | 0.0232433 | + | 0.0617841i | ||||
\(418\) | −3.39023 | − | 7.39897i | −0.165821 | − | 0.361895i | ||||
\(419\) | −9.44408 | + | 5.45254i | −0.461373 | + | 0.266374i | −0.712622 | − | 0.701549i | \(-0.752492\pi\) |
0.251248 | + | 0.967923i | \(0.419159\pi\) | |||||||
\(420\) | −0.348932 | − | 7.63588i | −0.0170261 | − | 0.372593i | ||||
\(421\) | −2.44668 | − | 23.2786i | −0.119244 | − | 1.13453i | −0.876497 | − | 0.481408i | \(-0.840126\pi\) |
0.757253 | − | 0.653122i | \(-0.226541\pi\) | |||||||
\(422\) | −9.33179 | + | 12.8441i | −0.454264 | + | 0.625241i | ||||
\(423\) | 9.00788 | − | 15.1305i | 0.437978 | − | 0.735672i | ||||
\(424\) | 7.30449 | − | 2.37337i | 0.354737 | − | 0.115261i | ||||
\(425\) | 11.7411 | − | 5.22748i | 0.569527 | − | 0.253570i | ||||
\(426\) | 1.42700 | − | 24.1358i | 0.0691385 | − | 1.16938i | ||||
\(427\) | 15.6666 | − | 3.33004i | 0.758161 | − | 0.161152i | ||||
\(428\) | 4.33544 | + | 7.50921i | 0.209562 | + | 0.362971i | ||||
\(429\) | −4.82773 | + | 18.3159i | −0.233085 | + | 0.884300i | ||||
\(430\) | 13.0420 | − | 22.5894i | 0.628940 | − | 1.08936i | ||||
\(431\) | 1.11900 | − | 3.44393i | 0.0539004 | − | 0.165888i | −0.920482 | − | 0.390784i | \(-0.872204\pi\) |
0.974383 | + | 0.224895i | \(0.0722040\pi\) | |||||||
\(432\) | −24.0088 | − | 9.77379i | −1.15512 | − | 0.470242i | ||||
\(433\) | 3.61240 | + | 2.62456i | 0.173601 | + | 0.126128i | 0.671193 | − | 0.741283i | \(-0.265782\pi\) |
−0.497592 | + | 0.867411i | \(0.665782\pi\) | |||||||
\(434\) | −4.83837 | + | 22.7627i | −0.232249 | + | 1.09265i | ||||
\(435\) | −2.70660 | − | 17.8620i | −0.129771 | − | 0.856417i | ||||
\(436\) | −10.9377 | − | 1.14960i | −0.523821 | − | 0.0550558i | ||||
\(437\) | −2.30610 | − | 1.02674i | −0.110316 | − | 0.0491158i | ||||
\(438\) | 14.3016 | + | 22.3487i | 0.683356 | + | 1.06786i | ||||
\(439\) | −1.40878 | − | 0.813362i | −0.0672376 | − | 0.0388196i | 0.466004 | − | 0.884782i | \(-0.345693\pi\) |
−0.533242 | + | 0.845963i | \(0.679026\pi\) | |||||||
\(440\) | 9.45099 | − | 5.59317i | 0.450558 | − | 0.266644i | ||||
\(441\) | −0.513019 | − | 2.58318i | −0.0244295 | − | 0.123009i | ||||
\(442\) | 36.0008 | + | 11.6974i | 1.71239 | + | 0.556388i | ||||
\(443\) | −17.2396 | + | 1.81195i | −0.819077 | + | 0.0860884i | −0.504793 | − | 0.863241i | \(-0.668431\pi\) |
−0.314284 | + | 0.949329i | \(0.601764\pi\) | |||||||
\(444\) | 5.49914 | + | 1.51302i | 0.260978 | + | 0.0718050i | ||||
\(445\) | −16.5142 | + | 18.3409i | −0.782847 | + | 0.869440i | ||||
\(446\) | 3.91074 | − | 4.34332i | 0.185179 | − | 0.205662i | ||||
\(447\) | 21.4285 | + | 5.89580i | 1.01353 | + | 0.278862i | ||||
\(448\) | −5.42794 | + | 0.570500i | −0.256446 | + | 0.0269536i | ||||
\(449\) | −37.5369 | − | 12.1965i | −1.77147 | − | 0.575587i | −0.773192 | − | 0.634172i | \(-0.781341\pi\) |
−0.998282 | + | 0.0585850i | \(0.981341\pi\) | |||||||
\(450\) | 1.89312 | + | 9.53231i | 0.0892424 | + | 0.449358i | ||||
\(451\) | 10.4486 | − | 2.33886i | 0.492005 | − | 0.110133i | ||||
\(452\) | 5.23791 | + | 3.02411i | 0.246371 | + | 0.142242i | ||||
\(453\) | −9.59214 | − | 14.9894i | −0.450678 | − | 0.704262i | ||||
\(454\) | −37.3201 | − | 16.6160i | −1.75152 | − | 0.779827i | ||||
\(455\) | 16.1938 | + | 1.70204i | 0.759179 | + | 0.0797929i | ||||
\(456\) | 0.704485 | + | 4.64919i | 0.0329905 | + | 0.217718i | ||||
\(457\) | −5.62784 | + | 26.4769i | −0.263259 | + | 1.23854i | 0.625522 | + | 0.780206i | \(0.284886\pi\) |
−0.888782 | + | 0.458331i | \(0.848447\pi\) | |||||||
\(458\) | 2.59583 | + | 1.88598i | 0.121295 | + | 0.0881261i | ||||
\(459\) | −4.78905 | − | 34.7392i | −0.223533 | − | 1.62149i | ||||
\(460\) | −0.850243 | + | 2.61678i | −0.0396428 | + | 0.122008i | ||||
\(461\) | 12.8179 | − | 22.2013i | 0.596990 | − | 1.03402i | −0.396272 | − | 0.918133i | \(-0.629696\pi\) |
0.993263 | − | 0.115885i | \(-0.0369703\pi\) | |||||||
\(462\) | −21.2445 | + | 17.3475i | −0.988385 | + | 0.807077i | ||||
\(463\) | 4.82245 | + | 8.35273i | 0.224118 | + | 0.388184i | 0.956055 | − | 0.293189i | \(-0.0947164\pi\) |
−0.731936 | + | 0.681373i | \(0.761383\pi\) | |||||||
\(464\) | 28.9278 | − | 6.14880i | 1.34294 | − | 0.285451i | ||||
\(465\) | −0.876661 | + | 14.8275i | −0.0406542 | + | 0.687609i | ||||
\(466\) | 10.2933 | − | 4.58285i | 0.476826 | − | 0.212297i | ||||
\(467\) | −2.74419 | + | 0.891640i | −0.126986 | + | 0.0412602i | −0.371820 | − | 0.928305i | \(-0.621266\pi\) |
0.244835 | + | 0.969565i | \(0.421266\pi\) | |||||||
\(468\) | −4.52210 | + | 7.59577i | −0.209034 | + | 0.351115i | ||||
\(469\) | 23.4122 | − | 32.2241i | 1.08107 | − | 1.48797i | ||||
\(470\) | 1.83630 | + | 17.4713i | 0.0847023 | + | 0.805889i | ||||
\(471\) | 1.46101 | + | 31.9721i | 0.0673197 | + | 1.47320i | ||||
\(472\) | −3.92620 | + | 2.26679i | −0.180718 | + | 0.104338i | ||||
\(473\) | −28.7124 | + | 3.33096i | −1.32020 | + | 0.153157i | ||||
\(474\) | 15.0023 | + | 39.8782i | 0.689076 | + | 1.83167i | ||||
\(475\) | 2.04156 | − | 1.83823i | 0.0936731 | − | 0.0843436i | ||||
\(476\) | 9.94997 | + | 13.6950i | 0.456056 | + | 0.627708i | ||||
\(477\) | −10.0004 | + | 7.06306i | −0.457886 | + | 0.323395i | ||||
\(478\) | −11.3978 | − | 35.0787i | −0.521322 | − | 1.60446i | ||||
\(479\) | −2.95143 | − | 0.627345i | −0.134854 | − | 0.0286641i | 0.139990 | − | 0.990153i | \(-0.455293\pi\) |
−0.274844 | + | 0.961489i | \(0.588626\pi\) | |||||||
\(480\) | 13.9249 | − | 3.63142i | 0.635583 | − | 0.165751i | ||||
\(481\) | −4.94171 | + | 11.0993i | −0.225323 | + | 0.506083i | ||||
\(482\) | 1.71673 | + | 8.07660i | 0.0781951 | + | 0.367879i | ||||
\(483\) | −1.38702 | + | 8.39322i | −0.0631117 | + | 0.381905i | ||||
\(484\) | 9.06448 | + | 3.80389i | 0.412022 | + | 0.172904i | ||||
\(485\) | 21.9780i | 0.997969i | ||||||||
\(486\) | 26.4195 | + | 2.27334i | 1.19841 | + | 0.103121i | ||||
\(487\) | 20.5362 | − | 14.9204i | 0.930584 | − | 0.676109i | −0.0155521 | − | 0.999879i | \(-0.504951\pi\) |
0.946136 | + | 0.323771i | \(0.104951\pi\) | |||||||
\(488\) | 4.36809 | + | 9.81089i | 0.197734 | + | 0.444118i | ||||
\(489\) | −13.8337 | + | 2.09620i | −0.625582 | + | 0.0947934i | ||||
\(490\) | 1.95256 | + | 1.75809i | 0.0882078 | + | 0.0794226i | ||||
\(491\) | 0.111308 | − | 1.05902i | 0.00502324 | − | 0.0477929i | −0.991723 | − | 0.128395i | \(-0.959018\pi\) |
0.996746 | + | 0.0806018i | \(0.0256842\pi\) | |||||||
\(492\) | 4.98832 | + | 0.294929i | 0.224891 | + | 0.0132964i | ||||
\(493\) | 26.7708 | + | 29.7320i | 1.20570 | + | 1.33906i | ||||
\(494\) | 8.09125 | 0.364042 | ||||||||
\(495\) | −11.7479 | + | 12.9789i | −0.528029 | + | 0.583360i | ||||
\(496\) | −24.3152 | −1.09179 | ||||||||
\(497\) | 15.4117 | + | 17.1164i | 0.691309 | + | 0.767776i | ||||
\(498\) | 1.61867 | − | 2.45638i | 0.0725345 | − | 0.110073i | ||||
\(499\) | −2.82782 | + | 26.9049i | −0.126591 | + | 1.20443i | 0.728166 | + | 0.685401i | \(0.240373\pi\) |
−0.854756 | + | 0.519030i | \(0.826293\pi\) | |||||||
\(500\) | −8.06761 | − | 7.26411i | −0.360795 | − | 0.324861i | ||||
\(501\) | −7.32414 | − | 9.16941i | −0.327218 | − | 0.409659i | ||||
\(502\) | −5.94688 | − | 13.3569i | −0.265422 | − | 0.596148i | ||||
\(503\) | 16.7826 | − | 12.1933i | 0.748299 | − | 0.543671i | −0.147000 | − | 0.989136i | \(-0.546962\pi\) |
0.895299 | + | 0.445466i | \(0.146962\pi\) | |||||||
\(504\) | 14.5617 | − | 6.25099i | 0.648628 | − | 0.278441i | ||||
\(505\) | 15.2932i | 0.680539i | ||||||||
\(506\) | 9.35604 | − | 3.15181i | 0.415927 | − | 0.140115i | ||||
\(507\) | 2.84868 | + | 2.33856i | 0.126514 | + | 0.103859i | ||||
\(508\) | 0.0435670 | + | 0.204967i | 0.00193297 | + | 0.00909393i | ||||
\(509\) | 3.70287 | − | 8.31678i | 0.164127 | − | 0.368635i | −0.812695 | − | 0.582690i | \(-0.802000\pi\) |
0.976822 | + | 0.214055i | \(0.0686670\pi\) | |||||||
\(510\) | 24.5721 | + | 24.9033i | 1.08807 | + | 1.10274i | ||||
\(511\) | −24.7235 | − | 5.25515i | −1.09370 | − | 0.232474i | ||||
\(512\) | 1.47728 | + | 4.54659i | 0.0652870 | + | 0.200933i | ||||
\(513\) | −3.26818 | − | 6.74579i | −0.144294 | − | 0.297834i | ||||
\(514\) | −5.31153 | − | 7.31069i | −0.234282 | − | 0.322461i | ||||
\(515\) | 21.0656 | − | 18.9675i | 0.928260 | − | 0.835809i | ||||
\(516\) | −13.3094 | − | 2.19945i | −0.585914 | − | 0.0968253i | ||||
\(517\) | 14.3259 | − | 13.1814i | 0.630053 | − | 0.579716i | ||||
\(518\) | −15.2358 | + | 8.79642i | −0.669424 | + | 0.386492i | ||||
\(519\) | −7.29166 | + | 4.66615i | −0.320068 | + | 0.204821i | ||||
\(520\) | 1.14124 | + | 10.8582i | 0.0500467 | + | 0.476163i | ||||
\(521\) | −14.5125 | + | 19.9748i | −0.635805 | + | 0.875110i | −0.998383 | − | 0.0568430i | \(-0.981897\pi\) |
0.362578 | + | 0.931953i | \(0.381897\pi\) | |||||||
\(522\) | −26.4002 | + | 14.7744i | −1.15550 | + | 0.646657i | ||||
\(523\) | −18.0229 | + | 5.85598i | −0.788085 | + | 0.256064i | −0.675288 | − | 0.737554i | \(-0.735981\pi\) |
−0.112797 | + | 0.993618i | \(0.535981\pi\) | |||||||
\(524\) | −4.95286 | + | 2.20516i | −0.216367 | + | 0.0963327i | ||||
\(525\) | −7.73050 | − | 5.09416i | −0.337387 | − | 0.222327i | ||||
\(526\) | 26.9063 | − | 5.71911i | 1.17317 | − | 0.249365i | ||||
\(527\) | −16.4470 | − | 28.4871i | −0.716443 | − | 1.24092i | ||||
\(528\) | −22.3447 | − | 17.9440i | −0.972429 | − | 0.780911i | ||||
\(529\) | −9.96892 | + | 17.2667i | −0.433431 | + | 0.750725i | ||||
\(530\) | 3.77443 | − | 11.6165i | 0.163951 | − | 0.504589i | ||||
\(531\) | 4.90721 | − | 5.30539i | 0.212955 | − | 0.230234i | ||||
\(532\) | 2.92732 | + | 2.12682i | 0.126915 | + | 0.0922094i | ||||
\(533\) | −2.21317 | + | 10.4121i | −0.0958628 | + | 0.450999i | ||||
\(534\) | 38.4841 | + | 15.0690i | 1.66537 | + | 0.652101i | ||||
\(535\) | −16.9777 | − | 1.78443i | −0.734010 | − | 0.0771476i | ||||
\(536\) | 24.3984 | + | 10.8629i | 1.05385 | + | 0.469204i | ||||
\(537\) | 2.81232 | − | 5.42931i | 0.121360 | − | 0.234292i | ||||
\(538\) | 15.5550 | + | 8.98068i | 0.670623 | + | 0.387185i | ||||
\(539\) | 0.273126 | − | 2.89875i | 0.0117644 | − | 0.124858i | ||||
\(540\) | −6.94003 | + | 4.31125i | −0.298652 | + | 0.185527i | ||||
\(541\) | 15.4821 | + | 5.03045i | 0.665628 | + | 0.216276i | 0.622293 | − | 0.782785i | \(-0.286201\pi\) |
0.0433359 | + | 0.999061i | \(0.486201\pi\) | |||||||
\(542\) | 8.63084 | − | 0.907138i | 0.370726 | − | 0.0389649i | ||||
\(543\) | 17.2633 | − | 17.0337i | 0.740840 | − | 0.730986i | ||||
\(544\) | −21.3247 | + | 23.6834i | −0.914287 | + | 1.01542i | ||||
\(545\) | 14.4885 | − | 16.0911i | 0.620619 | − | 0.689268i | ||||
\(546\) | −6.88086 | − | 26.3851i | −0.294473 | − | 1.12918i | ||||
\(547\) | 43.4479 | − | 4.56655i | 1.85770 | − | 0.195252i | 0.891493 | − | 0.453034i | \(-0.149659\pi\) |
0.966203 | + | 0.257783i | \(0.0829919\pi\) | |||||||
\(548\) | −13.7727 | − | 4.47503i | −0.588342 | − | 0.191164i | ||||
\(549\) | −11.2837 | − | 12.8744i | −0.481577 | − | 0.549466i | ||||
\(550\) | −1.00788 | + | 10.6968i | −0.0429760 | + | 0.456113i | ||||
\(551\) | 7.40611 | + | 4.27592i | 0.315511 | + | 0.182160i | ||||
\(552\) | −5.69814 | + | 0.260384i | −0.242529 | + | 0.0110827i | ||||
\(553\) | −37.0791 | − | 16.5087i | −1.57676 | − | 0.702020i | ||||
\(554\) | −40.8266 | − | 4.29105i | −1.73456 | − | 0.182309i | ||||
\(555\) | −8.77370 | + | 7.00807i | −0.372423 | + | 0.297476i | ||||
\(556\) | −0.144604 | + | 0.680306i | −0.00613256 | + | 0.0288514i | ||||
\(557\) | 11.8526 | + | 8.61141i | 0.502210 | + | 0.364877i | 0.809861 | − | 0.586622i | \(-0.199543\pi\) |
−0.307650 | + | 0.951500i | \(0.599543\pi\) | |||||||
\(558\) | 23.7569 | − | 7.36888i | 1.00571 | − | 0.311950i | ||||
\(559\) | 8.88004 | − | 27.3300i | 0.375586 | − | 1.15593i | ||||
\(560\) | −12.3179 | + | 21.3352i | −0.520525 | + | 0.901575i | ||||
\(561\) | 5.90851 | − | 38.3159i | 0.249457 | − | 1.61770i | ||||
\(562\) | −9.87158 | − | 17.0981i | −0.416407 | − | 0.721239i | ||||
\(563\) | 9.03951 | − | 1.92141i | 0.380970 | − | 0.0809777i | −0.0134462 | − | 0.999910i | \(-0.504280\pi\) |
0.394416 | + | 0.918932i | \(0.370947\pi\) | |||||||
\(564\) | 8.12262 | − | 4.07041i | 0.342024 | − | 0.171395i | ||||
\(565\) | −10.8782 | + | 4.84330i | −0.457651 | + | 0.203759i | ||||
\(566\) | 23.8923 | − | 7.76309i | 1.00427 | − | 0.326307i | ||||
\(567\) | −19.2183 | + | 16.3940i | −0.807094 | + | 0.688484i | ||||
\(568\) | −9.07748 | + | 12.4941i | −0.380883 | + | 0.524240i | ||||
\(569\) | −2.96640 | − | 28.2234i | −0.124358 | − | 1.18319i | −0.861611 | − | 0.507569i | \(-0.830544\pi\) |
0.737253 | − | 0.675616i | \(-0.236122\pi\) | |||||||
\(570\) | 6.64018 | + | 3.43954i | 0.278127 | + | 0.144066i | ||||
\(571\) | 14.5220 | − | 8.38430i | 0.607729 | − | 0.350872i | −0.164347 | − | 0.986403i | \(-0.552552\pi\) |
0.772076 | + | 0.635530i | \(0.219218\pi\) | |||||||
\(572\) | −7.19184 | + | 6.61726i | −0.300706 | + | 0.276682i | ||||
\(573\) | 6.40697 | − | 7.80452i | 0.267655 | − | 0.326039i | ||||
\(574\) | −11.4546 | + | 10.3138i | −0.478106 | + | 0.430488i | ||||
\(575\) | 1.95878 | + | 2.69603i | 0.0816868 | + | 0.112432i | ||||
\(576\) | 3.36541 | + | 4.76498i | 0.140225 | + | 0.198541i | ||||
\(577\) | 11.7263 | + | 36.0897i | 0.488171 | + | 1.50244i | 0.827336 | + | 0.561708i | \(0.189856\pi\) |
−0.339165 | + | 0.940727i | \(0.610144\pi\) | |||||||
\(578\) | −47.4980 | − | 10.0960i | −1.97565 | − | 0.419938i | ||||
\(579\) | 0.0566713 | − | 0.205974i | 0.00235518 | − | 0.00855998i | ||||
\(580\) | 3.79127 | − | 8.51534i | 0.157424 | − | 0.353580i | ||||
\(581\) | 0.582646 | + | 2.74113i | 0.0241722 | + | 0.113721i | ||||
\(582\) | 34.4473 | − | 12.9591i | 1.42789 | − | 0.537174i | ||||
\(583\) | −12.8270 | + | 4.32110i | −0.531241 | + | 0.178962i | ||||
\(584\) | − | 16.9478i | − | 0.701305i | ||||||
\(585\) | −6.86536 | − | 15.9928i | −0.283848 | − | 0.661221i | ||||
\(586\) | −28.3132 | + | 20.5707i | −1.16961 | + | 0.849770i | ||||
\(587\) | 5.77084 | + | 12.9615i | 0.238188 | + | 0.534979i | 0.992601 | − | 0.121421i | \(-0.0387450\pi\) |
−0.754413 | + | 0.656400i | \(0.772078\pi\) | |||||||
\(588\) | 0.495446 | − | 1.26529i | 0.0204319 | − | 0.0521799i | ||||
\(589\) | −5.22516 | − | 4.70476i | −0.215299 | − | 0.193856i | ||||
\(590\) | −0.753637 | + | 7.17038i | −0.0310267 | + | 0.295200i | ||||
\(591\) | 2.07576 | + | 4.14225i | 0.0853855 | + | 0.170389i | ||||
\(592\) | −12.3000 | − | 13.6605i | −0.505527 | − | 0.561444i | ||||
\(593\) | 14.4106 | 0.591771 | 0.295886 | − | 0.955223i | \(-0.404385\pi\) | ||||
0.295886 | + | 0.955223i | \(0.404385\pi\) | |||||||
\(594\) | 27.2697 | + | 10.7602i | 1.11889 | + | 0.441497i | ||||
\(595\) | −33.3276 | −1.36630 | ||||||||
\(596\) | 7.67293 | + | 8.52165i | 0.314295 | + | 0.349060i | ||||
\(597\) | −18.1783 | − | 36.2752i | −0.743986 | − | 1.48465i | ||||
\(598\) | −1.02596 | + | 9.76133i | −0.0419545 | + | 0.399170i | ||||
\(599\) | −2.17518 | − | 1.95854i | −0.0888756 | − | 0.0800239i | 0.623495 | − | 0.781827i | \(-0.285712\pi\) |
−0.712371 | + | 0.701803i | \(0.752379\pi\) | |||||||
\(600\) | 2.26337 | − | 5.78030i | 0.0924016 | − | 0.235980i | ||||
\(601\) | 3.24936 | + | 7.29819i | 0.132544 | + | 0.297699i | 0.967610 | − | 0.252452i | \(-0.0812369\pi\) |
−0.835065 | + | 0.550151i | \(0.814570\pi\) | |||||||
\(602\) | 33.6637 | − | 24.4581i | 1.37203 | − | 0.996839i | ||||
\(603\) | −42.2770 | − | 5.01670i | −1.72165 | − | 0.204296i | ||||
\(604\) | − | 9.18184i | − | 0.373604i | ||||||
\(605\) | −16.5485 | + | 10.0358i | −0.672791 | + | 0.408015i | ||||
\(606\) | 23.9699 | − | 9.01751i | 0.973710 | − | 0.366311i | ||||
\(607\) | 5.25578 | + | 24.7265i | 0.213326 | + | 1.00362i | 0.946282 | + | 0.323343i | \(0.104807\pi\) |
−0.732956 | + | 0.680276i | \(0.761860\pi\) | |||||||
\(608\) | −2.77073 | + | 6.22315i | −0.112368 | + | 0.252382i | ||||
\(609\) | 7.64531 | − | 27.7872i | 0.309804 | − | 1.12599i | ||||
\(610\) | 16.7058 | + | 3.55094i | 0.676400 | + | 0.143773i | ||||
\(611\) | 5.98069 | + | 18.4067i | 0.241953 | + | 0.744654i | ||||
\(612\) | 7.57991 | − | 16.4291i | 0.306400 | − | 0.664107i | ||||
\(613\) | −5.81317 | − | 8.00115i | −0.234792 | − | 0.323163i | 0.675321 | − | 0.737524i | \(-0.264005\pi\) |
−0.910113 | + | 0.414361i | \(0.864005\pi\) | |||||||
\(614\) | 6.93191 | − | 6.24152i | 0.279749 | − | 0.251887i | ||||
\(615\) | −6.24239 | + | 7.60404i | −0.251717 | + | 0.306625i | ||||
\(616\) | 17.4024 | − | 2.01887i | 0.701164 | − | 0.0813428i | ||||
\(617\) | −18.9579 | + | 10.9454i | −0.763217 | + | 0.440644i | −0.830450 | − | 0.557094i | \(-0.811916\pi\) |
0.0672323 | + | 0.997737i | \(0.478583\pi\) | |||||||
\(618\) | −42.1500 | − | 21.8332i | −1.69552 | − | 0.878260i | ||||
\(619\) | −2.46845 | − | 23.4857i | −0.0992152 | − | 0.943970i | −0.924996 | − | 0.379978i | \(-0.875932\pi\) |
0.825780 | − | 0.563992i | \(-0.190735\pi\) | |||||||
\(620\) | −4.50461 | + | 6.20006i | −0.180909 | + | 0.249000i | ||||
\(621\) | 8.55256 | − | 3.08740i | 0.343202 | − | 0.123893i | ||||
\(622\) | −17.8882 | + | 5.81222i | −0.717250 | + | 0.233049i | ||||
\(623\) | −35.9672 | + | 16.0136i | −1.44100 | + | 0.641573i | ||||
\(624\) | 25.4715 | − | 12.7643i | 1.01968 | − | 0.510980i | ||||
\(625\) | 11.5925 | − | 2.46405i | 0.463699 | − | 0.0985622i | ||||
\(626\) | −1.12547 | − | 1.94937i | −0.0449827 | − | 0.0779124i | ||||
\(627\) | −1.32974 | − | 8.17951i | −0.0531046 | − | 0.326658i | ||||
\(628\) | −8.25670 | + | 14.3010i | −0.329478 | + | 0.570673i | ||||
\(629\) | 7.68449 | − | 23.6504i | 0.306401 | − | 0.943005i | ||||
\(630\) | 5.56926 | − | 24.5783i | 0.221885 | − | 0.979221i | ||||
\(631\) | 14.6739 | + | 10.6612i | 0.584159 | + | 0.424416i | 0.840221 | − | 0.542244i | \(-0.182425\pi\) |
−0.256062 | + | 0.966660i | \(0.582425\pi\) | |||||||
\(632\) | 5.65829 | − | 26.6202i | 0.225075 | − | 1.05889i | ||||
\(633\) | −12.6306 | + | 10.0888i | −0.502021 | + | 0.400994i | ||||
\(634\) | −11.2513 | − | 1.18256i | −0.446845 | − | 0.0469653i | ||||
\(635\) | −0.376886 | − | 0.167800i | −0.0149563 | − | 0.00665896i | ||||
\(636\) | −6.31033 | + | 0.288359i | −0.250221 | + | 0.0114342i | ||||
\(637\) | 2.50681 | + | 1.44731i | 0.0993233 | + | 0.0573444i | ||||
\(638\) | −32.6384 | + | 7.30593i | −1.29217 | + | 0.289244i | ||||
\(639\) | 7.92026 | − | 23.3093i | 0.313321 | − | 0.922102i | ||||
\(640\) | −21.3386 | − | 6.93334i | −0.843483 | − | 0.274064i | ||||
\(641\) | −23.8954 | + | 2.51151i | −0.943813 | + | 0.0991987i | −0.563918 | − | 0.825831i | \(-0.690707\pi\) |
−0.379895 | + | 0.925030i | \(0.624040\pi\) | |||||||
\(642\) | 7.21393 | + | 27.6623i | 0.284711 | + | 1.09174i | ||||
\(643\) | 27.7517 | − | 30.8214i | 1.09442 | − | 1.21548i | 0.119520 | − | 0.992832i | \(-0.461864\pi\) |
0.974900 | − | 0.222644i | \(-0.0714688\pi\) | |||||||
\(644\) | −2.93699 | + | 3.26186i | −0.115734 | + | 0.128535i | ||||
\(645\) | 18.9053 | − | 18.6538i | 0.744396 | − | 0.734494i | ||||
\(646\) | −16.4702 | + | 1.73109i | −0.648011 | + | 0.0681087i | ||||
\(647\) | 31.8320 | + | 10.3428i | 1.25144 | + | 0.406619i | 0.858438 | − | 0.512917i | \(-0.171435\pi\) |
0.393006 | + | 0.919536i | \(0.371435\pi\) | |||||||
\(648\) | −13.4314 | − | 10.3191i | −0.527634 | − | 0.405372i | ||||
\(649\) | 6.87577 | − | 4.06913i | 0.269898 | − | 0.159727i | ||||
\(650\) | −9.25049 | − | 5.34077i | −0.362834 | − | 0.209482i | ||||
\(651\) | −10.8984 | + | 21.0399i | −0.427143 | + | 0.824619i | ||||
\(652\) | −6.59494 | − | 2.93626i | −0.258278 | − | 0.114993i | ||||
\(653\) | −1.58512 | − | 0.166603i | −0.0620307 | − | 0.00651969i | 0.0734623 | − | 0.997298i | \(-0.476595\pi\) |
−0.135493 | + | 0.990778i | \(0.543262\pi\) | |||||||
\(654\) | −33.7635 | − | 13.2206i | −1.32026 | − | 0.516968i | ||||
\(655\) | 2.21925 | − | 10.4407i | 0.0867132 | − | 0.407954i | ||||
\(656\) | −13.0293 | − | 9.46637i | −0.508710 | − | 0.369600i | ||||
\(657\) | 8.00364 | + | 25.8033i | 0.312252 | + | 1.00668i | ||||
\(658\) | −8.66010 | + | 26.6530i | −0.337606 | + | 1.03904i | ||||
\(659\) | −15.4266 | + | 26.7197i | −0.600936 | + | 1.04085i | 0.391743 | + | 0.920074i | \(0.371872\pi\) |
−0.992680 | + | 0.120777i | \(0.961461\pi\) | |||||||
\(660\) | −8.71503 | + | 2.37334i | −0.339232 | + | 0.0923820i | ||||
\(661\) | 21.2730 | + | 36.8460i | 0.827425 | + | 1.43314i | 0.900052 | + | 0.435783i | \(0.143529\pi\) |
−0.0726265 | + | 0.997359i | \(0.523138\pi\) | |||||||
\(662\) | 39.1942 | − | 8.33099i | 1.52333 | − | 0.323793i | ||||
\(663\) | 32.1834 | + | 21.2079i | 1.24990 | + | 0.823645i | ||||
\(664\) | −1.71658 | + | 0.764269i | −0.0666161 | + | 0.0296594i | ||||
\(665\) | −6.77516 | + | 2.20138i | −0.262729 | + | 0.0853660i | ||||
\(666\) | 16.1575 | + | 9.61926i | 0.626089 | + | 0.372739i | ||||
\(667\) | −6.09758 | + | 8.39260i | −0.236099 | + | 0.324963i | ||||
\(668\) | −0.632918 | − | 6.02181i | −0.0244883 | − | 0.232991i | ||||
\(669\) | 5.01246 | − | 3.20762i | 0.193793 | − | 0.124014i | ||||
\(670\) | 36.7830 | − | 21.2367i | 1.42105 | − | 0.820445i | ||||
\(671\) | −7.88381 | − | 17.2060i | −0.304351 | − | 0.664229i | ||||
\(672\) | 22.6496 | + | 3.74296i | 0.873727 | + | 0.144388i | ||||
\(673\) | −21.3445 | + | 19.2187i | −0.822772 | + | 0.740827i | −0.968638 | − | 0.248477i | \(-0.920070\pi\) |
0.145866 | + | 0.989304i | \(0.453403\pi\) | |||||||
\(674\) | −15.1010 | − | 20.7848i | −0.581671 | − | 0.800601i | ||||
\(675\) | −0.716256 | + | 9.86949i | −0.0275687 | + | 0.379877i | ||||
\(676\) | 0.587633 | + | 1.80855i | 0.0226013 | + | 0.0695595i | ||||
\(677\) | 4.85676 | + | 1.03234i | 0.186660 | + | 0.0396759i | 0.300293 | − | 0.953847i | \(-0.402915\pi\) |
−0.113633 | + | 0.993523i | \(0.536249\pi\) | |||||||
\(678\) | 14.0054 | + | 14.1942i | 0.537875 | + | 0.545127i | ||||
\(679\) | −14.2604 | + | 32.0294i | −0.547264 | + | 1.22918i | ||||
\(680\) | −4.64612 | − | 21.8583i | −0.178171 | − | 0.838226i | ||||
\(681\) | −32.1500 | − | 26.3929i | −1.23199 | − | 1.01138i | ||||
\(682\) | 27.4971 | − | 0.296294i | 1.05292 | − | 0.0113457i | ||||
\(683\) | − | 3.46565i | − | 0.132610i | −0.997799 | − | 0.0663048i | \(-0.978879\pi\) | ||
0.997799 | − | 0.0663048i | \(-0.0211210\pi\) | |||||||
\(684\) | 0.455729 | − | 3.84054i | 0.0174252 | − | 0.146847i | ||||
\(685\) | 23.0660 | − | 16.7584i | 0.881307 | − | 0.640307i | ||||
\(686\) | −11.8890 | − | 26.7030i | −0.453923 | − | 1.01953i | ||||
\(687\) | 2.03897 | + | 2.55268i | 0.0777917 | + | 0.0973908i | ||||
\(688\) | 32.3099 | + | 29.0920i | 1.23180 | + | 1.10912i | ||||
\(689\) | 1.40658 | − | 13.3827i | 0.0535862 | − | 0.509839i | ||||
\(690\) | −4.99144 | + | 7.57463i | −0.190021 | + | 0.288361i | ||||
\(691\) | 3.66923 | + | 4.07509i | 0.139584 | + | 0.155024i | 0.808883 | − | 0.587969i | \(-0.200072\pi\) |
−0.669299 | + | 0.742993i | \(0.733406\pi\) | |||||||
\(692\) | −4.46656 | −0.169793 | ||||||||
\(693\) | −25.5421 | + | 11.2921i | −0.970264 | + | 0.428952i | ||||
\(694\) | 36.7879 | 1.39645 | ||||||||
\(695\) | −0.916246 | − | 1.01759i | −0.0347552 | − | 0.0385995i | ||||
\(696\) | 19.2903 | + | 1.14052i | 0.731198 | + | 0.0432313i | ||||
\(697\) | 2.27739 | − | 21.6680i | 0.0862625 | − | 0.820733i | ||||
\(698\) | 23.7067 | + | 21.3456i | 0.897313 | + | 0.807944i | ||||
\(699\) | 11.3431 | − | 1.71879i | 0.429034 | − | 0.0650108i | ||||
\(700\) | −1.94287 | − | 4.36376i | −0.0734337 | − | 0.164935i | ||||
\(701\) | −15.0478 | + | 10.9329i | −0.568347 | + | 0.412928i | −0.834504 | − | 0.551001i | \(-0.814246\pi\) |
0.266157 | + | 0.963930i | \(0.414246\pi\) | |||||||
\(702\) | −21.0183 | + | 20.1905i | −0.793285 | + | 0.762041i | ||||
\(703\) | − | 5.31547i | − | 0.200477i | ||||||
\(704\) | 2.05892 | + | 6.11182i | 0.0775983 | + | 0.230348i | ||||
\(705\) | −2.91642 | + | 17.6480i | −0.109839 | + | 0.664663i | ||||
\(706\) | 10.1599 | + | 47.7986i | 0.382373 | + | 1.79892i | ||||
\(707\) | −9.92299 | + | 22.2874i | −0.373192 | + | 0.838204i | ||||
\(708\) | 3.60808 | − | 0.940936i | 0.135600 | − | 0.0353626i | ||||
\(709\) | −5.00854 | − | 1.06460i | −0.188100 | − | 0.0399818i | 0.112899 | − | 0.993607i | \(-0.463986\pi\) |
−0.300998 | + | 0.953625i | \(0.597320\pi\) | |||||||
\(710\) | 7.58953 | + | 23.3582i | 0.284830 | + | 0.876617i | ||||
\(711\) | 3.95659 | + | 43.2018i | 0.148384 | + | 1.62019i | ||||
\(712\) | −15.5168 | − | 21.3571i | −0.581518 | − | 0.800390i | ||||
\(713\) | 6.33839 | − | 5.70711i | 0.237374 | − | 0.213733i | ||||
\(714\) | 19.6513 | + | 52.2362i | 0.735433 | + | 1.95489i | ||||
\(715\) | −2.21730 | − | 19.1128i | −0.0829221 | − | 0.714778i | ||||
\(716\) | 2.73213 | − | 1.57739i | 0.102104 | − | 0.0589500i | ||||
\(717\) | −1.71436 | − | 37.5164i | −0.0640241 | − | 1.40108i | ||||
\(718\) | 0.130966 | + | 1.24605i | 0.00488759 | + | 0.0465023i | ||||
\(719\) | 8.72981 | − | 12.0156i | 0.325567 | − | 0.448104i | −0.614590 | − | 0.788847i | \(-0.710678\pi\) |
0.940157 | + | 0.340742i | \(0.110678\pi\) | |||||||
\(720\) | 26.3295 | + | 0.352589i | 0.981243 | + | 0.0131402i | ||||
\(721\) | 43.0068 | − | 13.9737i | 1.60166 | − | 0.520410i | ||||
\(722\) | 26.2923 | − | 11.7061i | 0.978499 | − | 0.435656i | ||||
\(723\) | −0.496211 | + | 8.39273i | −0.0184543 | + | 0.312129i | ||||
\(724\) | 12.2396 | − | 2.60161i | 0.454882 | − | 0.0966882i | ||||
\(725\) | −5.64480 | − | 9.77707i | −0.209642 | − | 0.363111i | ||||
\(726\) | 25.4874 | + | 20.0198i | 0.945926 | + | 0.743004i | ||||
\(727\) | −22.1060 | + | 38.2887i | −0.819866 | + | 1.42005i | 0.0859153 | + | 0.996302i | \(0.472619\pi\) |
−0.905781 | + | 0.423746i | \(0.860715\pi\) | |||||||
\(728\) | −5.38215 | + | 16.5645i | −0.199476 | + | 0.613923i | ||||
\(729\) | 25.3227 | + | 9.36800i | 0.937879 | + | 0.346963i | ||||
\(730\) | −21.8050 | − | 15.8423i | −0.807041 | − | 0.586349i | ||||
\(731\) | −12.2287 | + | 57.5315i | −0.452295 | + | 2.12788i | ||||
\(732\) | −1.32332 | − | 8.73314i | −0.0489112 | − | 0.322786i | ||||
\(733\) | −23.7499 | − | 2.49622i | −0.877223 | − | 0.0921998i | −0.344798 | − | 0.938677i | \(-0.612053\pi\) |
−0.532425 | + | 0.846477i | \(0.678719\pi\) | |||||||
\(734\) | 8.02458 | + | 3.57277i | 0.296193 | + | 0.131873i | ||||
\(735\) | 1.44200 | + | 2.25338i | 0.0531891 | + | 0.0831171i | ||||
\(736\) | −7.15633 | − | 4.13171i | −0.263786 | − | 0.152297i | ||||
\(737\) | −43.2015 | − | 18.6794i | −1.59135 | − | 0.688065i | ||||
\(738\) | 15.5990 | + | 5.30038i | 0.574207 | + | 0.195110i | ||||
\(739\) | 22.8689 | + | 7.43057i | 0.841248 | + | 0.273338i | 0.697776 | − | 0.716316i | \(-0.254173\pi\) |
0.143472 | + | 0.989654i | \(0.454173\pi\) | |||||||
\(740\) | −5.76194 | + | 0.605604i | −0.211813 | + | 0.0222624i | ||||
\(741\) | 7.94340 | + | 2.18553i | 0.291808 | + | 0.0802875i | ||||
\(742\) | 13.0380 | − | 14.4802i | 0.478640 | − | 0.531584i | ||||
\(743\) | 4.62101 | − | 5.13215i | 0.169528 | − | 0.188280i | −0.652394 | − | 0.757880i | \(-0.726235\pi\) |
0.821922 | + | 0.569600i | \(0.192902\pi\) | |||||||
\(744\) | −15.3186 | − | 4.21472i | −0.561606 | − | 0.154519i | ||||
\(745\) | −22.4525 | + | 2.35986i | −0.822597 | + | 0.0864585i | ||||
\(746\) | −19.3009 | − | 6.27124i | −0.706656 | − | 0.229607i | ||||
\(747\) | 2.25259 | − | 1.97427i | 0.0824179 | − | 0.0722348i | ||||
\(748\) | 13.2237 | − | 15.0085i | 0.483505 | − | 0.548764i | ||||
\(749\) | −23.5845 | − | 13.6165i | −0.861757 | − | 0.497536i | ||||
\(750\) | −19.2922 | − | 30.1473i | −0.704451 | − | 1.10082i | ||||
\(751\) | −14.4834 | − | 6.44841i | −0.528505 | − | 0.235306i | 0.125096 | − | 0.992145i | \(-0.460076\pi\) |
−0.653601 | + | 0.756839i | \(0.726743\pi\) | |||||||
\(752\) | −29.1215 | − | 3.06079i | −1.06195 | − | 0.111615i | ||||
\(753\) | −2.23037 | − | 14.7192i | −0.0812793 | − | 0.536396i | ||||
\(754\) | 6.91328 | − | 32.5244i | 0.251767 | − | 1.18447i | ||||
\(755\) | 14.6247 | + | 10.6255i | 0.532249 | + | 0.386701i | ||||
\(756\) | −12.9113 | + | 1.77992i | −0.469581 | + | 0.0647351i | ||||
\(757\) | −7.92506 | + | 24.3908i | −0.288041 | + | 0.886499i | 0.697429 | + | 0.716653i | \(0.254327\pi\) |
−0.985471 | + | 0.169846i | \(0.945673\pi\) | |||||||
\(758\) | −6.97143 | + | 12.0749i | −0.253214 | + | 0.438579i | ||||
\(759\) | 10.0364 | − | 0.567054i | 0.364299 | − | 0.0205828i | ||||
\(760\) | −2.38831 | − | 4.13667i | −0.0866331 | − | 0.150053i | ||||
\(761\) | 4.22889 | − | 0.898878i | 0.153297 | − | 0.0325843i | −0.130624 | − | 0.991432i | \(-0.541698\pi\) |
0.283921 | + | 0.958848i | \(0.408365\pi\) | |||||||
\(762\) | −0.0407752 | + | 0.689656i | −0.00147713 | + | 0.0249836i | ||||
\(763\) | 31.5554 | − | 14.0494i | 1.14238 | − | 0.508621i | ||||
\(764\) | 4.95488 | − | 1.60994i | 0.179261 | − | 0.0582455i | ||||
\(765\) | 17.3964 | + | 31.0855i | 0.628969 | + | 1.12390i | ||||
\(766\) | −23.2806 | + | 32.0430i | −0.841162 | + | 1.15776i | ||||
\(767\) | 0.830274 | + | 7.89953i | 0.0299794 | + | 0.285235i | ||||
\(768\) | 1.40765 | + | 30.8043i | 0.0507940 | + | 1.11156i | ||||
\(769\) | 34.5983 | − | 19.9753i | 1.24764 | − | 0.720328i | 0.277006 | − | 0.960868i | \(-0.410658\pi\) |
0.970639 | + | 0.240540i | \(0.0773246\pi\) | |||||||
\(770\) | 13.6698 | − | 24.2771i | 0.492625 | − | 0.874888i | ||||
\(771\) | −3.23978 | − | 8.61181i | −0.116678 | − | 0.310147i | ||||
\(772\) | 0.0819113 | − | 0.0737533i | 0.00294805 | − | 0.00265444i | ||||
\(773\) | 30.2857 | + | 41.6846i | 1.08930 | + | 1.49929i | 0.848852 | + | 0.528630i | \(0.177294\pi\) |
0.240447 | + | 0.970662i | \(0.422706\pi\) | |||||||
\(774\) | −40.3845 | − | 18.6323i | −1.45159 | − | 0.669722i | ||||
\(775\) | 2.86832 | + | 8.82777i | 0.103033 | + | 0.317103i | ||||
\(776\) | −22.9948 | − | 4.88770i | −0.825467 | − | 0.175458i | ||||
\(777\) | −17.3335 | + | 4.52032i | −0.621834 | + | 0.162166i | ||||
\(778\) | −8.95956 | + | 20.1235i | −0.321216 | + | 0.721462i | ||||
\(779\) | −0.968259 | − | 4.55530i | −0.0346915 | − | 0.163211i | ||||
\(780\) | 1.46409 | − | 8.85959i | 0.0524229 | − | 0.317224i | ||||
\(781\) | 15.7592 | − | 22.1896i | 0.563910 | − | 0.794008i | ||||
\(782\) | − | 20.0892i | − | 0.718389i | ||||||
\(783\) | −29.9085 | + | 7.37344i | −1.06884 | + | 0.263505i | ||||
\(784\) | −3.54306 | + | 2.57418i | −0.126538 | + | 0.0919350i | ||||
\(785\) | −13.2236 | − | 29.7008i | −0.471972 | − | 1.06007i | ||||
\(786\) | −17.6729 | + | 2.67795i | −0.630372 | + | 0.0955192i | ||||
\(787\) | 9.19245 | + | 8.27692i | 0.327675 | + | 0.295040i | 0.816504 | − | 0.577339i | \(-0.195909\pi\) |
−0.488829 | + | 0.872380i | \(0.662576\pi\) | |||||||
\(788\) | −0.249881 | + | 2.37746i | −0.00890163 | + | 0.0846934i | ||||
\(789\) | 27.9594 | + | 1.65307i | 0.995383 | + | 0.0588509i | ||||
\(790\) | −28.9603 | − | 32.1637i | −1.03036 | − | 1.14433i | ||||
\(791\) | −18.9959 | −0.675415 | ||||||||
\(792\) | −10.9668 | − | 15.1778i | −0.389689 | − | 0.539321i | ||||
\(793\) | 18.8158 | 0.668169 | ||||||||
\(794\) | 12.4011 | + | 13.7728i | 0.440099 | + | 0.488779i | ||||
\(795\) | 6.84321 | − | 10.3847i | 0.242704 | − | 0.368308i | ||||
\(796\) | 2.18830 | − | 20.8203i | 0.0775622 | − | 0.737955i | ||||
\(797\) | −32.7636 | − | 29.5005i | −1.16055 | − | 1.04496i | −0.998304 | − | 0.0582088i | \(-0.981461\pi\) |
−0.162241 | − | 0.986751i | \(-0.551872\pi\) | |||||||
\(798\) | 7.44526 | + | 9.32105i | 0.263560 | + | 0.329962i | ||||
\(799\) | −16.1121 | − | 36.1883i | −0.570004 | − | 1.28025i | ||||
\(800\) | 7.27540 | − | 5.28588i | 0.257224 | − | 0.186884i | ||||
\(801\) | 33.7106 | + | 25.1887i | 1.19110 | + | 0.889998i | ||||
\(802\) | 53.5721i | 1.89170i | ||||||||
\(803\) | 0.321817 | + | 29.8657i | 0.0113567 | + | 1.05394i | ||||
\(804\) | −16.9779 | − | 13.9377i | −0.598765 | − | 0.491544i | ||||
\(805\) | −1.79668 | − | 8.45272i | −0.0633247 | − | 0.297919i | ||||
\(806\) | −11.1195 | + | 24.9748i | −0.391668 | + | 0.879700i | ||||
\(807\) | 12.8450 | + | 13.0182i | 0.452165 | + | 0.458261i | ||||
\(808\) | −16.0008 | − | 3.40107i | −0.562905 | − | 0.119649i | ||||
\(809\) | 4.87082 | + | 14.9908i | 0.171249 | + | 0.527050i | 0.999442 | − | 0.0333924i | \(-0.0106311\pi\) |
−0.828193 | + | 0.560442i | \(0.810631\pi\) | |||||||
\(810\) | −25.8318 | + | 7.63483i | −0.907637 | + | 0.268261i | ||||
\(811\) | −1.85940 | − | 2.55924i | −0.0652923 | − | 0.0898672i | 0.775122 | − | 0.631812i | \(-0.217688\pi\) |
−0.840414 | + | 0.541944i | \(0.817688\pi\) | |||||||
\(812\) | 11.0503 | − | 9.94978i | 0.387791 | − | 0.349169i | ||||
\(813\) | 8.71817 | + | 1.44072i | 0.305759 | + | 0.0505283i | ||||
\(814\) | 14.0760 | + | 15.2982i | 0.493364 | + | 0.536203i | ||||
\(815\) | 12.3087 | − | 7.10643i | 0.431155 | − | 0.248927i | ||||
\(816\) | −49.1178 | + | 31.4319i | −1.71947 | + | 1.10034i | ||||
\(817\) | 1.31415 | + | 12.5033i | 0.0459763 | + | 0.437435i | ||||
\(818\) | 16.8190 | − | 23.1493i | 0.588062 | − | 0.809398i | ||||
\(819\) | 0.371766 | − | 27.7615i | 0.0129905 | − | 0.970067i | ||||
\(820\) | −4.82760 | + | 1.56858i | −0.168587 | + | 0.0547773i | ||||
\(821\) | 44.9193 | − | 19.9994i | 1.56770 | − | 0.697983i | 0.574947 | − | 0.818191i | \(-0.305023\pi\) |
0.992749 | + | 0.120208i | \(0.0383561\pi\) | |||||||
\(822\) | −39.8671 | − | 26.2712i | −1.39052 | − | 0.916312i | ||||
\(823\) | −41.2570 | + | 8.76944i | −1.43813 | + | 0.305683i | −0.860013 | − | 0.510272i | \(-0.829545\pi\) |
−0.578115 | + | 0.815956i | \(0.696211\pi\) | |||||||
\(824\) | 15.1603 | + | 26.2584i | 0.528134 | + | 0.914755i | ||||
\(825\) | −3.87878 | + | 10.2291i | −0.135042 | + | 0.356132i | ||||
\(826\) | −5.75080 | + | 9.96068i | −0.200096 | + | 0.346576i | ||||
\(827\) | 4.11309 | − | 12.6588i | 0.143026 | − | 0.440189i | −0.853726 | − | 0.520723i | \(-0.825663\pi\) |
0.996752 | + | 0.0805340i | \(0.0256626\pi\) | |||||||
\(828\) | 4.57547 | + | 1.03677i | 0.159009 | + | 0.0360302i | ||||
\(829\) | −37.7524 | − | 27.4288i | −1.31120 | − | 0.952640i | −0.999997 | − | 0.00229533i | \(-0.999269\pi\) |
−0.311199 | − | 0.950345i | \(-0.600731\pi\) | |||||||
\(830\) | −0.621295 | + | 2.92296i | −0.0215655 | + | 0.101457i | ||||
\(831\) | −38.9215 | − | 15.2403i | −1.35017 | − | 0.528681i | ||||
\(832\) | −6.37657 | − | 0.670205i | −0.221068 | − | 0.0232352i | ||||
\(833\) | −5.41239 | − | 2.40975i | −0.187528 | − | 0.0834930i | ||||
\(834\) | −1.05467 | + | 2.03610i | −0.0365204 | + | 0.0705043i | ||||
\(835\) | 10.3239 | + | 5.96051i | 0.357274 | + | 0.206272i | ||||
\(836\) | 1.69688 | − | 3.92453i | 0.0586879 | − | 0.135733i | ||||
\(837\) | 25.3132 | − | 0.817242i | 0.874952 | − | 0.0282480i | ||||
\(838\) | −17.6425 | − | 5.73238i | −0.609449 | − | 0.198022i | ||||
\(839\) | 14.0040 | − | 1.47188i | 0.483471 | − | 0.0508149i | 0.140342 | − | 0.990103i | \(-0.455180\pi\) |
0.343129 | + | 0.939288i | \(0.388513\pi\) | |||||||
\(840\) | −11.4584 | + | 11.3060i | −0.395353 | + | 0.390094i | ||||
\(841\) | 4.11106 | − | 4.56579i | 0.141761 | − | 0.157441i | ||||
\(842\) | 26.6426 | − | 29.5896i | 0.918166 | − | 1.01973i | ||||
\(843\) | −5.07283 | − | 19.4521i | −0.174717 | − | 0.669965i | ||||
\(844\) | −8.29487 | + | 0.871826i | −0.285521 | + | 0.0300095i | ||||
\(845\) | −3.56066 | − | 1.15693i | −0.122491 | − | 0.0397996i | ||||
\(846\) | 29.3804 | − | 5.83493i | 1.01012 | − | 0.200609i | ||||
\(847\) | −30.6285 | + | 3.88814i | −1.05241 | + | 0.133598i | ||||
\(848\) | 17.6315 | + | 10.1795i | 0.605468 | + | 0.349567i | ||||
\(849\) | 25.5527 | − | 1.16766i | 0.876965 | − | 0.0400741i | ||||
\(850\) | 19.9725 | + | 8.89234i | 0.685052 | + | 0.305005i | ||||
\(851\) | 6.41262 | + | 0.673994i | 0.219822 | + | 0.0231042i | ||||
\(852\) | 9.92452 | − | 7.92729i | 0.340008 | − | 0.271584i | ||||
\(853\) | 0.564912 | − | 2.65770i | 0.0193422 | − | 0.0909979i | −0.967418 | − | 0.253186i | \(-0.918522\pi\) |
0.986760 | + | 0.162188i | \(0.0518550\pi\) | |||||||
\(854\) | 22.0421 | + | 16.0145i | 0.754264 | + | 0.548005i | ||||
\(855\) | 5.58980 | + | 5.17027i | 0.191167 | + | 0.176820i | ||||
\(856\) | 5.64267 | − | 17.3664i | 0.192863 | − | 0.593570i | ||||
\(857\) | 17.1514 | − | 29.7071i | 0.585881 | − | 1.01478i | −0.408884 | − | 0.912586i | \(-0.634082\pi\) |
0.994765 | − | 0.102189i | \(-0.0325846\pi\) | |||||||
\(858\) | −28.6491 | + | 14.7450i | −0.978065 | + | 0.503385i | ||||
\(859\) | −26.7136 | − | 46.2694i | −0.911458 | − | 1.57869i | −0.812006 | − | 0.583649i | \(-0.801625\pi\) |
−0.0994512 | − | 0.995042i | \(-0.531709\pi\) | |||||||
\(860\) | 13.4038 | − | 2.84906i | 0.457065 | − | 0.0971522i | ||||
\(861\) | −14.0312 | + | 7.03130i | −0.478181 | + | 0.239626i | ||||
\(862\) | 5.62733 | − | 2.50545i | 0.191668 | − | 0.0853360i | ||||
\(863\) | 51.3521 | − | 16.6853i | 1.74804 | − | 0.567974i | 0.752191 | − | 0.658945i | \(-0.228997\pi\) |
0.995854 | + | 0.0909712i | \(0.0289971\pi\) | |||||||
\(864\) | −8.33154 | − | 23.0796i | −0.283445 | − | 0.785183i | ||||
\(865\) | 5.16883 | − | 7.11429i | 0.175746 | − | 0.241893i | ||||
\(866\) | 0.793955 | + | 7.55398i | 0.0269797 | + | 0.256695i | ||||
\(867\) | −43.9030 | − | 22.7412i | −1.49102 | − | 0.772333i | ||||
\(868\) | −10.5877 | + | 6.11278i | −0.359368 | + | 0.207481i | ||||
\(869\) | −9.46565 | + | 47.0179i | −0.321100 | + | 1.59497i | ||||
\(870\) | 19.4994 | − | 23.7528i | 0.661092 | − | 0.805296i | ||||
\(871\) | 34.7736 | − | 31.3103i | 1.17826 | − | 1.06091i | ||||
\(872\) | 13.6135 | + | 18.7374i | 0.461011 | + | 0.634527i | ||||
\(873\) | 37.3183 | − | 3.41776i | 1.26303 | − | 0.115673i | ||||
\(874\) | −1.32695 | − | 4.08393i | −0.0448848 | − | 0.138141i | ||||
\(875\) | 33.3509 | + | 7.08895i | 1.12747 | + | 0.239650i | ||||
\(876\) | −3.69777 | + | 13.4397i | −0.124936 | + | 0.454085i | ||||
\(877\) | −3.96979 | + | 8.91628i | −0.134050 | + | 0.301082i | −0.968082 | − | 0.250635i | \(-0.919360\pi\) |
0.834031 | + | 0.551717i | \(0.186027\pi\) | |||||||
\(878\) | −0.575329 | − | 2.70671i | −0.0194164 | − | 0.0913471i | ||||
\(879\) | −33.3522 | + | 12.5472i | −1.12494 | + | 0.423205i | ||||
\(880\) | 27.7815 | + | 8.69695i | 0.936515 | + | 0.293174i | ||||
\(881\) | − | 1.83055i | − | 0.0616727i | −0.999524 | − | 0.0308364i | \(-0.990183\pi\) | ||
0.999524 | − | 0.0308364i | \(-0.00981708\pi\) | |||||||
\(882\) | 2.68158 | − | 3.58882i | 0.0902934 | − | 0.120842i | ||||
\(883\) | 1.61899 | − | 1.17627i | 0.0544835 | − | 0.0395846i | −0.560210 | − | 0.828351i | \(-0.689280\pi\) |
0.614694 | + | 0.788766i | \(0.289280\pi\) | |||||||
\(884\) | 8.08851 | + | 18.1671i | 0.272046 | + | 0.611026i | ||||
\(885\) | −2.67666 | + | 6.83579i | −0.0899750 | + | 0.229783i | ||||
\(886\) | −21.9134 | − | 19.7309i | −0.736194 | − | 0.662872i | ||||
\(887\) | −1.44386 | + | 13.7375i | −0.0484802 | + | 0.461259i | 0.943171 | + | 0.332308i | \(0.107827\pi\) |
−0.991651 | + | 0.128950i | \(0.958839\pi\) | |||||||
\(888\) | −5.38111 | − | 10.7382i | −0.180578 | − | 0.360349i | ||||
\(889\) | −0.440374 | − | 0.489085i | −0.0147697 | − | 0.0164034i | ||||
\(890\) | −41.9827 | −1.40726 | ||||||||
\(891\) | 23.8649 | + | 17.9294i | 0.799506 | + | 0.600659i | ||||
\(892\) | 3.07041 | 0.102805 | ||||||||
\(893\) | −5.66575 | − | 6.29246i | −0.189597 | − | 0.210569i | ||||
\(894\) | 16.9377 | + | 33.7996i | 0.566481 | + | 1.13043i | ||||
\(895\) | −0.649240 | + | 6.17711i | −0.0217017 | + | 0.206478i | ||||
\(896\) | −26.5989 | − | 23.9498i | −0.888608 | − | 0.800106i | ||||
\(897\) | −3.64385 | + | 9.30584i | −0.121665 | + | 0.310713i | ||||
\(898\) | −27.3079 | − | 61.3346i | −0.911278 | − | 2.04676i | ||||
\(899\) | −23.3762 | + | 16.9838i | −0.779640 | + | 0.566442i | ||||
\(900\) | −3.05604 | + | 4.08997i | −0.101868 | + | 0.136332i | ||||
\(901\) | 27.5421i | 0.917561i | ||||||||
\(902\) | 14.8497 | + | 10.5464i | 0.494441 | + | 0.351155i | ||||
\(903\) | 39.6550 | − | 14.9183i | 1.31964 | − | 0.496449i | ||||
\(904\) | −2.64817 | − | 12.4586i | −0.0880767 | − | 0.414368i | ||||
\(905\) | −10.0202 | + | 22.5058i | −0.333084 | + | 0.748118i | ||||
\(906\) | 8.03057 | − | 29.1874i | 0.266798 | − | 0.969686i | ||||
\(907\) | −1.36500 | − | 0.290139i | −0.0453240 | − | 0.00963392i | 0.185194 | − | 0.982702i | \(-0.440709\pi\) |
−0.230518 | + | 0.973068i | \(0.574042\pi\) | |||||||
\(908\) | −6.63200 | − | 20.4112i | −0.220091 | − | 0.677369i | ||||
\(909\) | 25.9676 | − | 2.37822i | 0.861292 | − | 0.0788805i | ||||
\(910\) | 16.2809 | + | 22.4087i | 0.539706 | + | 0.742841i | ||||
\(911\) | 22.4140 | − | 20.1817i | 0.742609 | − | 0.668649i | −0.208318 | − | 0.978061i | \(-0.566799\pi\) |
0.950928 | + | 0.309413i | \(0.100132\pi\) | |||||||
\(912\) | −7.90897 | + | 9.63416i | −0.261892 | + | 0.319019i | ||||
\(913\) | 3.01047 | − | 1.37940i | 0.0996319 | − | 0.0456516i | ||||
\(914\) | −39.8765 | + | 23.0227i | −1.31900 | + | 0.761524i | ||||
\(915\) | 15.4414 | + | 7.99848i | 0.510478 | + | 0.264422i | ||||
\(916\) | 0.176198 | + | 1.67642i | 0.00582176 | + | 0.0553904i | ||||
\(917\) | 10.0087 | − | 13.7758i | 0.330515 | − | 0.454915i | ||||
\(918\) | 38.4643 | − | 45.5956i | 1.26951 | − | 1.50488i | ||||
\(919\) | −42.6708 | + | 13.8646i | −1.40758 | + | 0.457351i | −0.911634 | − | 0.411002i | \(-0.865179\pi\) |
−0.495947 | + | 0.868353i | \(0.665179\pi\) | |||||||
\(920\) | 5.29334 | − | 2.35675i | 0.174516 | − | 0.0776996i | ||||
\(921\) | 8.49114 | − | 4.25509i | 0.279793 | − | 0.140210i | ||||
\(922\) | 42.6556 | − | 9.06673i | 1.40479 | − | 0.298597i | ||||
\(923\) | 13.5289 | + | 23.4327i | 0.445308 | + | 0.771296i | ||||
\(924\) | −14.2407 | − | 2.19599i | −0.468485 | − | 0.0722427i | ||||
\(925\) | −3.50857 | + | 6.07703i | −0.115361 | + | 0.199811i | ||||
\(926\) | −5.06996 | + | 15.6037i | −0.166609 | + | 0.512770i | ||||
\(927\) | −35.4824 | − | 32.8194i | −1.16540 | − | 1.07793i | ||||
\(928\) | 22.6479 | + | 16.4547i | 0.743454 | + | 0.540151i | ||||
\(929\) | −3.60446 | + | 16.9577i | −0.118259 | + | 0.556363i | 0.878627 | + | 0.477508i | \(0.158460\pi\) |
−0.996886 | + | 0.0788552i | \(0.974874\pi\) | |||||||
\(930\) | −19.7420 | + | 15.7691i | −0.647366 | + | 0.517088i | ||||
\(931\) | −1.25946 | − | 0.132374i | −0.0412770 | − | 0.00433838i | ||||
\(932\) | 5.40757 | + | 2.40760i | 0.177131 | + | 0.0788637i | ||||
\(933\) | −19.1313 | + | 0.874228i | −0.626329 | + | 0.0286210i | ||||
\(934\) | −4.25071 | − | 2.45415i | −0.139088 | − | 0.0803022i | ||||
\(935\) | 8.60253 | + | 38.4308i | 0.281333 | + | 1.25682i | ||||
\(936\) | 18.2595 | − | 3.62634i | 0.596832 | − | 0.118531i | ||||
\(937\) | 34.1168 | + | 11.0852i | 1.11455 | + | 0.362138i | 0.807684 | − | 0.589616i | \(-0.200721\pi\) |
0.306862 | + | 0.951754i | \(0.400721\pi\) | |||||||
\(938\) | 67.3848 | − | 7.08242i | 2.20019 | − | 0.231249i | ||||
\(939\) | −0.578358 | − | 2.21775i | −0.0188740 | − | 0.0723735i | ||||
\(940\) | −6.17547 | + | 6.85855i | −0.201422 | + | 0.223701i | ||||
\(941\) | 13.7646 | − | 15.2871i | 0.448712 | − | 0.498345i | −0.475771 | − | 0.879569i | \(-0.657831\pi\) |
0.924483 | + | 0.381224i | \(0.124498\pi\) | |||||||
\(942\) | −38.7544 | + | 38.2389i | −1.26269 | + | 1.24589i | ||||
\(943\) | 5.61832 | − | 0.590509i | 0.182958 | − | 0.0192296i | ||||
\(944\) | −11.4294 | − | 3.71363i | −0.371995 | − | 0.120868i | ||||
\(945\) | 12.1063 | − | 22.6248i | 0.393820 | − | 0.735986i | ||||
\(946\) | −36.8925 | − | 32.5052i | −1.19948 | − | 1.05684i | ||||
\(947\) | −46.4029 | − | 26.7907i | −1.50789 | − | 0.870581i | −0.999958 | − | 0.00918508i | \(-0.997076\pi\) |
−0.507933 | − | 0.861396i | \(-0.669590\pi\) | |||||||
\(948\) | −10.2952 | + | 19.8754i | −0.334372 | + | 0.645522i | ||||
\(949\) | −27.1262 | − | 12.0773i | −0.880553 | − | 0.392047i | ||||
\(950\) | 4.64757 | + | 0.488480i | 0.150787 | + | 0.0158484i | ||||
\(951\) | −10.7263 | − | 4.20004i | −0.347823 | − | 0.136196i | ||||
\(952\) | 7.41175 | − | 34.8696i | 0.240216 | − | 1.13013i | ||||
\(953\) | 12.6652 | + | 9.20183i | 0.410267 | + | 0.298076i | 0.773710 | − | 0.633540i | \(-0.218399\pi\) |
−0.363443 | + | 0.931616i | \(0.618399\pi\) | |||||||
\(954\) | −20.3116 | − | 4.60247i | −0.657612 | − | 0.149010i | ||||
\(955\) | −3.16964 | + | 9.75516i | −0.102567 | + | 0.315669i | ||||
\(956\) | 9.68850 | − | 16.7810i | 0.313349 | − | 0.542736i | ||||
\(957\) | −34.0154 | − | 1.64354i | −1.09956 | − | 0.0531282i | ||||
\(958\) | −2.56638 | − | 4.44510i | −0.0829161 | − | 0.143615i | ||||
\(959\) | 44.4887 | − | 9.45637i | 1.43662 | − | 0.305362i | ||||
\(960\) | −4.94812 | − | 3.26065i | −0.159700 | − | 0.105237i | ||||
\(961\) | −6.61724 | + | 2.94619i | −0.213459 | + | 0.0950382i | ||||
\(962\) | −19.6560 | + | 6.38661i | −0.633734 | + | 0.205913i | ||||
\(963\) | −0.389761 | + | 29.1054i | −0.0125599 | + | 0.937907i | ||||
\(964\) | −2.54972 | + | 3.50939i | −0.0821209 | + | 0.113030i | ||||
\(965\) | 0.0226833 | + | 0.215817i | 0.000730200 | + | 0.00694739i | ||||
\(966\) | −12.1890 | + | 7.80012i | −0.392175 | + | 0.250965i | ||||
\(967\) | 44.2158 | − | 25.5280i | 1.42188 | − | 0.820924i | 0.425423 | − | 0.904995i | \(-0.360125\pi\) |
0.996460 | + | 0.0840703i | \(0.0267920\pi\) | |||||||
\(968\) | −6.81993 | − | 19.5460i | −0.219201 | − | 0.628232i | ||||
\(969\) | −16.6368 | − | 2.74932i | −0.534452 | − | 0.0883209i | ||||
\(970\) | −27.7834 | + | 25.0163i | −0.892071 | + | 0.803224i | ||||
\(971\) | −9.08431 | − | 12.5035i | −0.291529 | − | 0.401256i | 0.637981 | − | 0.770052i | \(-0.279770\pi\) |
−0.929510 | + | 0.368797i | \(0.879770\pi\) | |||||||
\(972\) | 8.39967 | + | 11.1136i | 0.269420 | + | 0.356470i | ||||
\(973\) | −0.675016 | − | 2.07749i | −0.0216400 | − | 0.0666011i | ||||
\(974\) | 42.2367 | + | 8.97770i | 1.35335 | + | 0.287664i | ||||
\(975\) | −7.63886 | − | 7.74184i | −0.244639 | − | 0.247937i | ||||
\(976\) | −11.5789 | + | 26.0066i | −0.370631 | + | 0.832450i | ||||
\(977\) | −7.72141 | − | 36.3264i | −0.247030 | − | 1.16218i | −0.910347 | − | 0.413845i | \(-0.864185\pi\) |
0.663318 | − | 0.748338i | \(-0.269148\pi\) | |||||||
\(978\) | −18.3960 | − | 15.1019i | −0.588240 | − | 0.482904i | ||||
\(979\) | 27.7495 | + | 37.3411i | 0.886879 | + | 1.19343i | ||||
\(980\) | 1.38032i | 0.0440928i | ||||||||
\(981\) | −29.5755 | − | 22.0990i | −0.944274 | − | 0.705565i | ||||
\(982\) | 1.46545 | − | 1.06471i | 0.0467644 | − | 0.0339764i | ||||
\(983\) | −7.60096 | − | 17.0720i | −0.242433 | − | 0.544513i | 0.750817 | − | 0.660511i | \(-0.229660\pi\) |
−0.993249 | + | 0.115998i | \(0.962994\pi\) | |||||||
\(984\) | −6.56760 | − | 8.22227i | −0.209368 | − | 0.262116i | ||||
\(985\) | −3.49762 | − | 3.14927i | −0.111443 | − | 0.100344i | ||||
\(986\) | −7.11392 | + | 67.6844i | −0.226553 | + | 2.15551i | ||||
\(987\) | −15.7011 | + | 23.8268i | −0.499773 | + | 0.758417i | ||||
\(988\) | 2.84430 | + | 3.15892i | 0.0904892 | + | 0.100498i | ||||
\(989\) | −15.2507 | −0.484944 | ||||||||
\(990\) | −29.7793 | − | 0.0778890i | −0.946447 | − | 0.00247547i | ||||
\(991\) | −25.4516 | −0.808496 | −0.404248 | − | 0.914649i | \(-0.632467\pi\) | ||||
−0.404248 | + | 0.914649i | \(0.632467\pi\) | |||||||
\(992\) | −15.4010 | − | 17.1045i | −0.488981 | − | 0.543069i | ||||
\(993\) | 40.7284 | + | 2.40802i | 1.29248 | + | 0.0764162i | ||||
\(994\) | −4.09541 | + | 38.9653i | −0.129899 | + | 1.23590i | ||||
\(995\) | 30.6300 | + | 27.5793i | 0.971035 | + | 0.874324i | ||||
\(996\) | 1.52801 | − | 0.231536i | 0.0484167 | − | 0.00733651i | ||||
\(997\) | −17.5193 | − | 39.3490i | −0.554841 | − | 1.24619i | −0.945489 | − | 0.325654i | \(-0.894416\pi\) |
0.390648 | − | 0.920540i | \(-0.372251\pi\) | |||||||
\(998\) | −37.2305 | + | 27.0496i | −1.17851 | + | 0.856239i | ||||
\(999\) | 13.2640 | + | 13.8078i | 0.419653 | + | 0.436859i |
(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 | 99.2.p.a.2.9 | ✓ | 80 | |
3.2 | odd | 2 | 297.2.t.a.35.2 | 80 | |||
9.2 | odd | 6 | 891.2.k.a.728.4 | 80 | |||
9.4 | even | 3 | 297.2.t.a.233.2 | 80 | |||
9.5 | odd | 6 | inner | 99.2.p.a.68.9 | yes | 80 | |
9.7 | even | 3 | 891.2.k.a.728.17 | 80 | |||
11.6 | odd | 10 | inner | 99.2.p.a.83.9 | yes | 80 | |
33.17 | even | 10 | 297.2.t.a.116.2 | 80 | |||
99.50 | even | 30 | inner | 99.2.p.a.50.9 | yes | 80 | |
99.61 | odd | 30 | 891.2.k.a.809.4 | 80 | |||
99.83 | even | 30 | 891.2.k.a.809.17 | 80 | |||
99.94 | odd | 30 | 297.2.t.a.17.2 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.2.9 | ✓ | 80 | 1.1 | even | 1 | trivial | |
99.2.p.a.50.9 | yes | 80 | 99.50 | even | 30 | inner | |
99.2.p.a.68.9 | yes | 80 | 9.5 | odd | 6 | inner | |
99.2.p.a.83.9 | yes | 80 | 11.6 | odd | 10 | inner | |
297.2.t.a.17.2 | 80 | 99.94 | odd | 30 | |||
297.2.t.a.35.2 | 80 | 3.2 | odd | 2 | |||
297.2.t.a.116.2 | 80 | 33.17 | even | 10 | |||
297.2.t.a.233.2 | 80 | 9.4 | even | 3 | |||
891.2.k.a.728.4 | 80 | 9.2 | odd | 6 | |||
891.2.k.a.728.17 | 80 | 9.7 | even | 3 | |||
891.2.k.a.809.4 | 80 | 99.61 | odd | 30 | |||
891.2.k.a.809.17 | 80 | 99.83 | even | 30 |