Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 121.5 | ||
Character | \(\chi\) | \(=\) | 378.121 |
Dual form | 378.2.w.b.25.5 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.902405 | − | 1.47840i | −0.521004 | − | 0.853554i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −3.70320 | + | 1.34785i | −1.65612 | + | 0.602778i | −0.989746 | − | 0.142840i | \(-0.954377\pi\) |
−0.666374 | + | 0.745618i | \(0.732154\pi\) | |||||||
\(6\) | −0.342341 | − | 1.69788i | −0.139760 | − | 0.693157i | ||||
\(7\) | −0.207321 | − | 2.63762i | −0.0783602 | − | 0.996925i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −1.37133 | + | 2.66823i | −0.457110 | + | 0.889410i | ||||
\(10\) | −3.94086 | −1.24621 | ||||||||
\(11\) | −3.21532 | − | 1.17028i | −0.969455 | − | 0.352853i | −0.191723 | − | 0.981449i | \(-0.561408\pi\) |
−0.777732 | + | 0.628596i | \(0.783630\pi\) | |||||||
\(12\) | 0.259015 | − | 1.71257i | 0.0747711 | − | 0.494378i | ||||
\(13\) | −0.849585 | + | 4.81824i | −0.235633 | + | 1.33634i | 0.605645 | + | 0.795735i | \(0.292915\pi\) |
−0.841277 | + | 0.540604i | \(0.818196\pi\) | |||||||
\(14\) | 0.707299 | − | 2.54946i | 0.189034 | − | 0.681371i | ||||
\(15\) | 5.33445 | + | 4.25849i | 1.37735 | + | 1.09954i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −7.47519 | −1.81300 | −0.906499 | − | 0.422207i | \(-0.861256\pi\) | ||||
−0.906499 | + | 0.422207i | \(0.861256\pi\) | |||||||
\(18\) | −2.20122 | + | 2.03829i | −0.518832 | + | 0.480430i | ||||
\(19\) | 0.401606 | 0.0921348 | 0.0460674 | − | 0.998938i | \(-0.485331\pi\) | ||||
0.0460674 | + | 0.998938i | \(0.485331\pi\) | |||||||
\(20\) | −3.70320 | − | 1.34785i | −0.828060 | − | 0.301389i | ||||
\(21\) | −3.71236 | + | 2.68670i | −0.810104 | + | 0.586286i | ||||
\(22\) | −2.62115 | − | 2.19941i | −0.558831 | − | 0.468915i | ||||
\(23\) | 0.809905 | − | 4.59320i | 0.168877 | − | 0.957748i | −0.776100 | − | 0.630610i | \(-0.782805\pi\) |
0.944977 | − | 0.327138i | \(-0.106084\pi\) | |||||||
\(24\) | 0.829129 | − | 1.52071i | 0.169245 | − | 0.310413i | ||||
\(25\) | 8.06673 | − | 6.76879i | 1.61335 | − | 1.35376i | ||||
\(26\) | −2.44628 | + | 4.23709i | −0.479756 | + | 0.830961i | ||||
\(27\) | 5.18221 | − | 0.380448i | 0.997316 | − | 0.0732172i | ||||
\(28\) | 1.53661 | − | 2.15379i | 0.290392 | − | 0.407029i | ||||
\(29\) | −0.196696 | − | 1.11552i | −0.0365255 | − | 0.207147i | 0.961083 | − | 0.276258i | \(-0.0890946\pi\) |
−0.997609 | + | 0.0691119i | \(0.977983\pi\) | |||||||
\(30\) | 3.55625 | + | 5.82616i | 0.649279 | + | 1.06371i | ||||
\(31\) | −3.94095 | − | 3.30685i | −0.707816 | − | 0.593928i | 0.216169 | − | 0.976356i | \(-0.430644\pi\) |
−0.923985 | + | 0.382428i | \(0.875088\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 1.17138 | + | 5.80959i | 0.203910 | + | 1.01132i | ||||
\(34\) | −7.02438 | − | 2.55666i | −1.20467 | − | 0.438464i | ||||
\(35\) | 4.32287 | + | 9.48817i | 0.730699 | + | 1.60379i | ||||
\(36\) | −2.76561 | + | 1.16251i | −0.460934 | + | 0.193751i | ||||
\(37\) | 1.59639 | + | 2.76503i | 0.262445 | + | 0.454568i | 0.966891 | − | 0.255190i | \(-0.0821379\pi\) |
−0.704446 | + | 0.709757i | \(0.748805\pi\) | |||||||
\(38\) | 0.377386 | + | 0.137357i | 0.0612201 | + | 0.0222823i | ||||
\(39\) | 7.88995 | − | 3.09197i | 1.26340 | − | 0.495112i | ||||
\(40\) | −3.01887 | − | 2.53314i | −0.477326 | − | 0.400524i | ||||
\(41\) | 0.523747 | − | 2.97031i | 0.0817955 | − | 0.463885i | −0.916207 | − | 0.400706i | \(-0.868765\pi\) |
0.998002 | − | 0.0631792i | \(-0.0201240\pi\) | |||||||
\(42\) | −4.40739 | + | 1.25497i | −0.680074 | + | 0.193646i | ||||
\(43\) | −3.03657 | + | 2.54798i | −0.463072 | + | 0.388564i | −0.844260 | − | 0.535934i | \(-0.819960\pi\) |
0.381188 | + | 0.924498i | \(0.375515\pi\) | |||||||
\(44\) | −1.71083 | − | 2.96325i | −0.257918 | − | 0.446727i | ||||
\(45\) | 1.48193 | − | 11.7293i | 0.220913 | − | 1.74851i | ||||
\(46\) | 2.33203 | − | 4.03919i | 0.343839 | − | 0.595546i | ||||
\(47\) | 0.854241 | − | 0.716794i | 0.124604 | − | 0.104555i | −0.578356 | − | 0.815784i | \(-0.696306\pi\) |
0.702960 | + | 0.711229i | \(0.251861\pi\) | |||||||
\(48\) | 1.29924 | − | 1.14542i | 0.187529 | − | 0.165327i | ||||
\(49\) | −6.91404 | + | 1.09367i | −0.987719 | + | 0.156238i | ||||
\(50\) | 9.89531 | − | 3.60160i | 1.39941 | − | 0.509343i | ||||
\(51\) | 6.74564 | + | 11.0513i | 0.944579 | + | 1.54749i | ||||
\(52\) | −3.74792 | + | 3.14488i | −0.519744 | + | 0.436117i | ||||
\(53\) | 5.46677 | + | 9.46872i | 0.750918 | + | 1.30063i | 0.947378 | + | 0.320117i | \(0.103722\pi\) |
−0.196460 | + | 0.980512i | \(0.562945\pi\) | |||||||
\(54\) | 4.99980 | + | 1.41491i | 0.680387 | + | 0.192546i | ||||
\(55\) | 13.4843 | 1.81822 | ||||||||
\(56\) | 2.18058 | − | 1.49835i | 0.291392 | − | 0.200226i | ||||
\(57\) | −0.362411 | − | 0.593734i | −0.0480025 | − | 0.0786420i | ||||
\(58\) | 0.196696 | − | 1.11552i | 0.0258274 | − | 0.146475i | ||||
\(59\) | 0.596467 | − | 3.38273i | 0.0776534 | − | 0.440394i | −0.921048 | − | 0.389449i | \(-0.872665\pi\) |
0.998701 | − | 0.0509454i | \(-0.0162234\pi\) | |||||||
\(60\) | 1.34912 | + | 6.69111i | 0.174170 | + | 0.863819i | ||||
\(61\) | 7.90237 | − | 6.63088i | 1.01180 | − | 0.848997i | 0.0232207 | − | 0.999730i | \(-0.492608\pi\) |
0.988574 | + | 0.150733i | \(0.0481635\pi\) | |||||||
\(62\) | −2.57227 | − | 4.45531i | −0.326679 | − | 0.565825i | ||||
\(63\) | 7.32207 | + | 3.06386i | 0.922494 | + | 0.386011i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −3.34810 | − | 18.9880i | −0.415280 | − | 2.35517i | ||||
\(66\) | −0.886263 | + | 5.85986i | −0.109091 | + | 0.721299i | ||||
\(67\) | −1.99857 | + | 0.727420i | −0.244164 | + | 0.0888685i | −0.461204 | − | 0.887294i | \(-0.652582\pi\) |
0.217039 | + | 0.976163i | \(0.430360\pi\) | |||||||
\(68\) | −5.72632 | − | 4.80496i | −0.694419 | − | 0.582687i | ||||
\(69\) | −7.52145 | + | 2.94756i | −0.905476 | + | 0.354845i | ||||
\(70\) | 0.817025 | + | 10.3945i | 0.0976531 | + | 1.24238i | ||||
\(71\) | −1.71767 | + | 2.97510i | −0.203850 | + | 0.353079i | −0.949766 | − | 0.312961i | \(-0.898679\pi\) |
0.745915 | + | 0.666041i | \(0.232012\pi\) | |||||||
\(72\) | −2.99642 | + | 0.146507i | −0.353132 | + | 0.0172660i | ||||
\(73\) | 1.09956 | − | 1.90449i | 0.128694 | − | 0.222904i | −0.794477 | − | 0.607294i | \(-0.792255\pi\) |
0.923171 | + | 0.384390i | \(0.125588\pi\) | |||||||
\(74\) | 0.554420 | + | 3.14427i | 0.0644501 | + | 0.365514i | ||||
\(75\) | −17.2864 | − | 5.81766i | −1.99607 | − | 0.671766i | ||||
\(76\) | 0.307648 | + | 0.258147i | 0.0352897 | + | 0.0296115i | ||||
\(77\) | −2.42014 | + | 8.72340i | −0.275801 | + | 0.994123i | ||||
\(78\) | 8.47165 | − | 0.206983i | 0.959225 | − | 0.0234362i | ||||
\(79\) | −15.2674 | − | 5.55686i | −1.71771 | − | 0.625196i | −0.720075 | − | 0.693897i | \(-0.755892\pi\) |
−0.997637 | + | 0.0687006i | \(0.978115\pi\) | |||||||
\(80\) | −1.97043 | − | 3.41288i | −0.220301 | − | 0.381572i | ||||
\(81\) | −5.23890 | − | 7.31805i | −0.582100 | − | 0.813117i | ||||
\(82\) | 1.50807 | − | 2.61205i | 0.166538 | − | 0.288453i | ||||
\(83\) | −0.188556 | − | 1.06935i | −0.0206967 | − | 0.117377i | 0.972709 | − | 0.232028i | \(-0.0745361\pi\) |
−0.993406 | + | 0.114651i | \(0.963425\pi\) | |||||||
\(84\) | −4.57081 | − | 0.328128i | −0.498717 | − | 0.0358017i | ||||
\(85\) | 27.6821 | − | 10.0755i | 3.00254 | − | 1.09284i | ||||
\(86\) | −3.72490 | + | 1.35575i | −0.401667 | + | 0.146195i | ||||
\(87\) | −1.47168 | + | 1.29744i | −0.157781 | + | 0.139101i | ||||
\(88\) | −0.594167 | − | 3.36969i | −0.0633384 | − | 0.359210i | ||||
\(89\) | 3.30103 | 0.349909 | 0.174954 | − | 0.984577i | \(-0.444022\pi\) | ||||
0.174954 | + | 0.984577i | \(0.444022\pi\) | |||||||
\(90\) | 5.40422 | − | 10.5151i | 0.569655 | − | 1.10839i | ||||
\(91\) | 12.8848 | + | 1.24196i | 1.35069 | + | 0.130192i | ||||
\(92\) | 3.57287 | − | 2.99800i | 0.372498 | − | 0.312563i | ||||
\(93\) | −1.33251 | + | 8.81042i | −0.138175 | + | 0.913598i | ||||
\(94\) | 1.04788 | − | 0.381398i | 0.108081 | − | 0.0393382i | ||||
\(95\) | −1.48723 | + | 0.541306i | −0.152586 | + | 0.0555368i | ||||
\(96\) | 1.61264 | − | 0.631974i | 0.164589 | − | 0.0645006i | ||||
\(97\) | −10.4530 | + | 8.77109i | −1.06134 | + | 0.890569i | −0.994240 | − | 0.107177i | \(-0.965819\pi\) |
−0.0670992 | + | 0.997746i | \(0.521374\pi\) | |||||||
\(98\) | −6.87113 | − | 1.33703i | −0.694088 | − | 0.135060i | ||||
\(99\) | 7.53184 | − | 6.97436i | 0.756978 | − | 0.700950i | ||||
\(100\) | 10.5304 | 1.05304 | ||||||||
\(101\) | 0.226498 | + | 1.28454i | 0.0225374 | + | 0.127816i | 0.994001 | − | 0.109374i | \(-0.0348846\pi\) |
−0.971463 | + | 0.237190i | \(0.923774\pi\) | |||||||
\(102\) | 2.55906 | + | 12.6920i | 0.253385 | + | 1.25669i | ||||
\(103\) | 7.68981 | − | 2.79886i | 0.757700 | − | 0.275780i | 0.0658578 | − | 0.997829i | \(-0.479022\pi\) |
0.691842 | + | 0.722049i | \(0.256799\pi\) | |||||||
\(104\) | −4.59751 | + | 1.67336i | −0.450823 | + | 0.164086i | ||||
\(105\) | 10.1263 | − | 14.9531i | 0.988228 | − | 1.45927i | ||||
\(106\) | 1.89859 | + | 10.7674i | 0.184407 | + | 1.04583i | ||||
\(107\) | −7.15354 | + | 12.3903i | −0.691559 | + | 1.19781i | 0.279768 | + | 0.960068i | \(0.409742\pi\) |
−0.971327 | + | 0.237747i | \(0.923591\pi\) | |||||||
\(108\) | 4.21435 | + | 3.03962i | 0.405526 | + | 0.292487i | ||||
\(109\) | −4.67627 | − | 8.09953i | −0.447905 | − | 0.775794i | 0.550345 | − | 0.834938i | \(-0.314496\pi\) |
−0.998249 | + | 0.0591435i | \(0.981163\pi\) | |||||||
\(110\) | 12.6711 | + | 4.61191i | 1.20814 | + | 0.439728i | ||||
\(111\) | 2.64723 | − | 4.85528i | 0.251264 | − | 0.460843i | ||||
\(112\) | 2.56154 | − | 0.662189i | 0.242043 | − | 0.0625710i | ||||
\(113\) | −4.30835 | − | 3.61514i | −0.405296 | − | 0.340084i | 0.417241 | − | 0.908796i | \(-0.362997\pi\) |
−0.822536 | + | 0.568713i | \(0.807442\pi\) | |||||||
\(114\) | −0.137486 | − | 0.681880i | −0.0128768 | − | 0.0638639i | ||||
\(115\) | 3.19172 | + | 18.1011i | 0.297629 | + | 1.68794i | ||||
\(116\) | 0.566363 | − | 0.980970i | 0.0525855 | − | 0.0910808i | ||||
\(117\) | −11.6911 | − | 8.87429i | −1.08084 | − | 0.820428i | ||||
\(118\) | 1.71746 | − | 2.97473i | 0.158105 | − | 0.273846i | ||||
\(119\) | 1.54977 | + | 19.7167i | 0.142067 | + | 1.80742i | ||||
\(120\) | −1.02074 | + | 6.74901i | −0.0931805 | + | 0.616098i | ||||
\(121\) | 0.542222 | + | 0.454978i | 0.0492929 | + | 0.0413617i | ||||
\(122\) | 9.69369 | − | 3.52822i | 0.877626 | − | 0.319430i | ||||
\(123\) | −4.86394 | + | 1.90612i | −0.438567 | + | 0.171869i | ||||
\(124\) | −0.893342 | − | 5.06639i | −0.0802245 | − | 0.454975i | ||||
\(125\) | −10.8972 | + | 18.8745i | −0.974675 | + | 1.68819i | ||||
\(126\) | 5.83259 | + | 5.38339i | 0.519609 | + | 0.479590i | ||||
\(127\) | 0.680921 | + | 1.17939i | 0.0604220 | + | 0.104654i | 0.894654 | − | 0.446760i | \(-0.147422\pi\) |
−0.834232 | + | 0.551413i | \(0.814089\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 6.50715 | + | 2.18995i | 0.572923 | + | 0.192814i | ||||
\(130\) | 3.34810 | − | 18.9880i | 0.293647 | − | 1.66536i | ||||
\(131\) | −3.11469 | + | 17.6643i | −0.272132 | + | 1.54334i | 0.475795 | + | 0.879556i | \(0.342160\pi\) |
−0.747927 | + | 0.663781i | \(0.768951\pi\) | |||||||
\(132\) | −2.83701 | + | 5.20335i | −0.246930 | + | 0.452894i | ||||
\(133\) | −0.0832616 | − | 1.05928i | −0.00721969 | − | 0.0918515i | ||||
\(134\) | −2.12683 | −0.183730 | ||||||||
\(135\) | −18.6779 | + | 8.39373i | −1.60754 | + | 0.722417i | ||||
\(136\) | −3.73759 | − | 6.47370i | −0.320496 | − | 0.555115i | ||||
\(137\) | −9.37983 | + | 7.87061i | −0.801373 | + | 0.672432i | −0.948532 | − | 0.316681i | \(-0.897432\pi\) |
0.147159 | + | 0.989113i | \(0.452987\pi\) | |||||||
\(138\) | −8.07597 | + | 0.197316i | −0.687472 | + | 0.0167966i | ||||
\(139\) | −5.24500 | + | 1.90902i | −0.444875 | + | 0.161921i | −0.554737 | − | 0.832026i | \(-0.687181\pi\) |
0.109862 | + | 0.993947i | \(0.464959\pi\) | |||||||
\(140\) | −2.78737 | + | 10.0470i | −0.235575 | + | 0.849130i | ||||
\(141\) | −1.83058 | − | 0.616072i | −0.154163 | − | 0.0518826i | ||||
\(142\) | −2.63163 | + | 2.20820i | −0.220841 | + | 0.185308i | ||||
\(143\) | 8.37037 | − | 14.4979i | 0.699966 | − | 1.21238i | ||||
\(144\) | −2.86582 | − | 0.887164i | −0.238819 | − | 0.0739304i | ||||
\(145\) | 2.23196 | + | 3.86587i | 0.185354 | + | 0.321043i | ||||
\(146\) | 1.68462 | − | 1.41357i | 0.139420 | − | 0.116988i | ||||
\(147\) | 7.85614 | + | 9.23478i | 0.647963 | + | 0.761671i | ||||
\(148\) | −0.554420 | + | 3.14427i | −0.0455731 | + | 0.258458i | ||||
\(149\) | −12.5034 | − | 10.4916i | −1.02432 | − | 0.859503i | −0.0341521 | − | 0.999417i | \(-0.510873\pi\) |
−0.990164 | + | 0.139914i | \(0.955318\pi\) | |||||||
\(150\) | −14.2542 | − | 11.3791i | −1.16385 | − | 0.929101i | ||||
\(151\) | −10.3687 | − | 3.77391i | −0.843796 | − | 0.307117i | −0.116288 | − | 0.993216i | \(-0.537100\pi\) |
−0.727508 | + | 0.686099i | \(0.759322\pi\) | |||||||
\(152\) | 0.200803 | + | 0.347801i | 0.0162873 | + | 0.0282104i | ||||
\(153\) | 10.2510 | − | 19.9455i | 0.828741 | − | 1.61250i | ||||
\(154\) | −5.25777 | + | 7.36957i | −0.423683 | + | 0.593857i | ||||
\(155\) | 19.0513 | + | 6.93410i | 1.53024 | + | 0.556960i | ||||
\(156\) | 8.03154 | + | 2.70297i | 0.643038 | + | 0.216411i | ||||
\(157\) | −2.34598 | + | 13.3047i | −0.187229 | + | 1.06183i | 0.735828 | + | 0.677168i | \(0.236793\pi\) |
−0.923058 | + | 0.384662i | \(0.874318\pi\) | |||||||
\(158\) | −12.4461 | − | 10.4435i | −0.990156 | − | 0.830839i | ||||
\(159\) | 9.06531 | − | 16.6267i | 0.718926 | − | 1.31858i | ||||
\(160\) | −0.684323 | − | 3.88099i | −0.0541005 | − | 0.306819i | ||||
\(161\) | −12.2830 | − | 1.18395i | −0.968036 | − | 0.0933083i | ||||
\(162\) | −2.42004 | − | 8.66853i | −0.190136 | − | 0.681064i | ||||
\(163\) | −2.08224 | + | 3.60655i | −0.163094 | + | 0.282487i | −0.935977 | − | 0.352062i | \(-0.885481\pi\) |
0.772883 | + | 0.634549i | \(0.218814\pi\) | |||||||
\(164\) | 2.31049 | − | 1.93873i | 0.180419 | − | 0.151390i | ||||
\(165\) | −12.1683 | − | 19.9352i | −0.947302 | − | 1.55195i | ||||
\(166\) | 0.188556 | − | 1.06935i | 0.0146348 | − | 0.0829979i | ||||
\(167\) | 12.0596 | + | 10.1192i | 0.933203 | + | 0.783050i | 0.976390 | − | 0.216017i | \(-0.0693066\pi\) |
−0.0431868 | + | 0.999067i | \(0.513751\pi\) | |||||||
\(168\) | −4.18293 | − | 1.87165i | −0.322720 | − | 0.144401i | ||||
\(169\) | −10.2776 | − | 3.74075i | −0.790587 | − | 0.287750i | ||||
\(170\) | 29.4587 | 2.25938 | ||||||||
\(171\) | −0.550735 | + | 1.07158i | −0.0421158 | + | 0.0819456i | ||||
\(172\) | −3.96396 | −0.302249 | ||||||||
\(173\) | −4.15976 | − | 23.5912i | −0.316261 | − | 1.79360i | −0.565061 | − | 0.825049i | \(-0.691147\pi\) |
0.248800 | − | 0.968555i | \(-0.419964\pi\) | |||||||
\(174\) | −1.82668 | + | 0.715854i | −0.138480 | + | 0.0542687i | ||||
\(175\) | −19.5259 | − | 19.8736i | −1.47602 | − | 1.50230i | ||||
\(176\) | 0.594167 | − | 3.36969i | 0.0447870 | − | 0.254000i | ||||
\(177\) | −5.53929 | + | 2.17078i | −0.416358 | + | 0.163166i | ||||
\(178\) | 3.10196 | + | 1.12902i | 0.232501 | + | 0.0846236i | ||||
\(179\) | 11.0034 | 0.822430 | 0.411215 | − | 0.911538i | \(-0.365105\pi\) | ||||
0.411215 | + | 0.911538i | \(0.365105\pi\) | |||||||
\(180\) | 8.67469 | − | 8.03262i | 0.646573 | − | 0.598717i | ||||
\(181\) | 0.501923 | + | 0.869356i | 0.0373076 | + | 0.0646187i | 0.884076 | − | 0.467343i | \(-0.154789\pi\) |
−0.846769 | + | 0.531961i | \(0.821455\pi\) | |||||||
\(182\) | 11.6830 | + | 5.57392i | 0.866000 | + | 0.413166i | ||||
\(183\) | −16.9342 | − | 5.69913i | −1.25181 | − | 0.421292i | ||||
\(184\) | 4.38278 | − | 1.59520i | 0.323103 | − | 0.117600i | ||||
\(185\) | −9.63860 | − | 8.08774i | −0.708644 | − | 0.594623i | ||||
\(186\) | −4.26550 | + | 7.82334i | −0.312761 | + | 0.573635i | ||||
\(187\) | 24.0351 | + | 8.74806i | 1.75762 | + | 0.639721i | ||||
\(188\) | 1.11513 | 0.0813294 | ||||||||
\(189\) | −2.07786 | − | 13.5898i | −0.151142 | − | 0.988512i | ||||
\(190\) | −1.58267 | −0.114819 | ||||||||
\(191\) | 1.44470 | + | 0.525827i | 0.104535 | + | 0.0380475i | 0.393758 | − | 0.919214i | \(-0.371175\pi\) |
−0.289223 | + | 0.957262i | \(0.593397\pi\) | |||||||
\(192\) | 1.73153 | − | 0.0423056i | 0.124963 | − | 0.00305315i | ||||
\(193\) | 13.8997 | + | 11.6632i | 1.00052 | + | 0.839536i | 0.987057 | − | 0.160373i | \(-0.0512697\pi\) |
0.0134641 | + | 0.999909i | \(0.495714\pi\) | |||||||
\(194\) | −12.8225 | + | 4.66700i | −0.920600 | + | 0.335071i | ||||
\(195\) | −25.0505 | + | 22.0847i | −1.79390 | + | 1.58152i | ||||
\(196\) | −5.99946 | − | 3.60646i | −0.428533 | − | 0.257604i | ||||
\(197\) | −6.04304 | − | 10.4669i | −0.430549 | − | 0.745732i | 0.566372 | − | 0.824150i | \(-0.308347\pi\) |
−0.996921 | + | 0.0784176i | \(0.975013\pi\) | |||||||
\(198\) | 9.46299 | − | 3.97772i | 0.672505 | − | 0.282684i | ||||
\(199\) | 0.954423 | 0.0676573 | 0.0338286 | − | 0.999428i | \(-0.489230\pi\) | ||||
0.0338286 | + | 0.999428i | \(0.489230\pi\) | |||||||
\(200\) | 9.89531 | + | 3.60160i | 0.699704 | + | 0.254671i | ||||
\(201\) | 2.87894 | + | 2.29826i | 0.203065 | + | 0.162107i | ||||
\(202\) | −0.226498 | + | 1.28454i | −0.0159364 | + | 0.0903797i | ||||
\(203\) | −2.90153 | + | 0.750079i | −0.203647 | + | 0.0526452i | ||||
\(204\) | −1.93618 | + | 12.8018i | −0.135560 | + | 0.896306i | ||||
\(205\) | 2.06401 | + | 11.7056i | 0.144157 | + | 0.817554i | ||||
\(206\) | 8.18333 | 0.570160 | ||||||||
\(207\) | 11.1451 | + | 8.45981i | 0.774635 | + | 0.587997i | ||||
\(208\) | −4.89257 | −0.339239 | ||||||||
\(209\) | −1.29129 | − | 0.469992i | −0.0893205 | − | 0.0325100i | ||||
\(210\) | 14.6299 | − | 10.5879i | 1.00956 | − | 0.730635i | ||||
\(211\) | −12.1201 | − | 10.1700i | −0.834383 | − | 0.700131i | 0.121910 | − | 0.992541i | \(-0.461098\pi\) |
−0.956293 | + | 0.292411i | \(0.905543\pi\) | |||||||
\(212\) | −1.89859 | + | 10.7674i | −0.130396 | + | 0.739510i | ||||
\(213\) | 5.94842 | − | 0.145335i | 0.407579 | − | 0.00995816i | ||||
\(214\) | −10.9599 | + | 9.19641i | −0.749200 | + | 0.628654i | ||||
\(215\) | 7.81070 | − | 13.5285i | 0.532685 | − | 0.922638i | ||||
\(216\) | 2.92058 | + | 4.29770i | 0.198720 | + | 0.292421i | ||||
\(217\) | −7.90516 | + | 11.0803i | −0.536637 | + | 0.752180i | ||||
\(218\) | −1.62405 | − | 9.21044i | −0.109995 | − | 0.623810i | ||||
\(219\) | −3.80785 | + | 0.0930351i | −0.257310 | + | 0.00628673i | ||||
\(220\) | 10.3296 | + | 8.66755i | 0.696420 | + | 0.584366i | ||||
\(221\) | 6.35081 | − | 36.0172i | 0.427202 | − | 2.42278i | ||||
\(222\) | 4.14818 | − | 3.65706i | 0.278408 | − | 0.245446i | ||||
\(223\) | −11.7347 | − | 4.27109i | −0.785816 | − | 0.286014i | −0.0822204 | − | 0.996614i | \(-0.526201\pi\) |
−0.703596 | + | 0.710601i | \(0.748423\pi\) | |||||||
\(224\) | 2.63355 | + | 0.253845i | 0.175961 | + | 0.0169608i | ||||
\(225\) | 6.99853 | + | 30.8061i | 0.466569 | + | 2.05374i | ||||
\(226\) | −2.81208 | − | 4.87066i | −0.187057 | − | 0.323992i | ||||
\(227\) | −21.2608 | − | 7.73829i | −1.41113 | − | 0.513608i | −0.479667 | − | 0.877451i | \(-0.659242\pi\) |
−0.931461 | + | 0.363842i | \(0.881465\pi\) | |||||||
\(228\) | 0.104022 | − | 0.687780i | 0.00688902 | − | 0.0455494i | ||||
\(229\) | −10.0990 | − | 8.47403i | −0.667357 | − | 0.559979i | 0.244925 | − | 0.969542i | \(-0.421237\pi\) |
−0.912282 | + | 0.409563i | \(0.865681\pi\) | |||||||
\(230\) | −3.19172 | + | 18.1011i | −0.210456 | + | 1.19355i | ||||
\(231\) | 15.0806 | − | 4.29409i | 0.992232 | − | 0.282531i | ||||
\(232\) | 0.867719 | − | 0.728103i | 0.0569686 | − | 0.0478023i | ||||
\(233\) | 6.26126 | + | 10.8448i | 0.410189 | + | 0.710468i | 0.994910 | − | 0.100766i | \(-0.0321294\pi\) |
−0.584721 | + | 0.811234i | \(0.698796\pi\) | |||||||
\(234\) | −7.95086 | − | 12.3377i | −0.519764 | − | 0.806541i | ||||
\(235\) | −2.19729 | + | 3.80582i | −0.143335 | + | 0.248264i | ||||
\(236\) | 2.63130 | − | 2.20792i | 0.171283 | − | 0.143724i | ||||
\(237\) | 5.56207 | + | 27.5858i | 0.361295 | + | 1.79189i | ||||
\(238\) | −5.28719 | + | 19.0577i | −0.342718 | + | 1.23532i | ||||
\(239\) | 21.3504 | − | 7.77092i | 1.38104 | − | 0.502659i | 0.458549 | − | 0.888669i | \(-0.348369\pi\) |
0.922495 | + | 0.386010i | \(0.126147\pi\) | |||||||
\(240\) | −3.26748 | + | 5.99288i | −0.210915 | + | 0.386839i | ||||
\(241\) | −1.17639 | + | 0.987112i | −0.0757782 | + | 0.0635855i | −0.679890 | − | 0.733314i | \(-0.737972\pi\) |
0.604112 | + | 0.796900i | \(0.293528\pi\) | |||||||
\(242\) | 0.353910 | + | 0.612991i | 0.0227502 | + | 0.0394045i | ||||
\(243\) | −6.09140 | + | 14.3490i | −0.390763 | + | 0.920491i | ||||
\(244\) | 10.3158 | 0.660402 | ||||||||
\(245\) | 24.1299 | − | 13.3692i | 1.54160 | − | 0.854125i | ||||
\(246\) | −5.22254 | + | 0.127600i | −0.332977 | + | 0.00813545i | ||||
\(247\) | −0.341199 | + | 1.93503i | −0.0217100 | + | 0.123123i | ||||
\(248\) | 0.893342 | − | 5.06639i | 0.0567273 | − | 0.321716i | ||||
\(249\) | −1.41078 | + | 1.24375i | −0.0894044 | + | 0.0788195i | ||||
\(250\) | −16.6955 | + | 14.0092i | −1.05591 | + | 0.886018i | ||||
\(251\) | −4.33773 | − | 7.51317i | −0.273795 | − | 0.474227i | 0.696035 | − | 0.718007i | \(-0.254946\pi\) |
−0.969830 | + | 0.243781i | \(0.921612\pi\) | |||||||
\(252\) | 3.63962 | + | 7.05359i | 0.229274 | + | 0.444335i | ||||
\(253\) | −7.97943 | + | 13.8208i | −0.501662 | + | 0.868905i | ||||
\(254\) | 0.236481 | + | 1.34115i | 0.0148382 | + | 0.0841514i | ||||
\(255\) | −39.8760 | − | 31.8330i | −2.49713 | − | 1.99346i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 8.65283 | + | 7.26059i | 0.539749 | + | 0.452903i | 0.871452 | − | 0.490481i | \(-0.163179\pi\) |
−0.331703 | + | 0.943384i | \(0.607623\pi\) | |||||||
\(258\) | 5.36571 | + | 4.28346i | 0.334055 | + | 0.266676i | ||||
\(259\) | 6.96212 | − | 4.78391i | 0.432605 | − | 0.297258i | ||||
\(260\) | 9.64046 | − | 16.6978i | 0.597876 | − | 1.03555i | ||||
\(261\) | 3.24619 | + | 1.00491i | 0.200934 | + | 0.0622027i | ||||
\(262\) | −8.96840 | + | 15.5337i | −0.554070 | + | 0.959677i | ||||
\(263\) | −1.42830 | − | 8.10028i | −0.0880726 | − | 0.499485i | −0.996651 | − | 0.0817706i | \(-0.973943\pi\) |
0.908579 | − | 0.417714i | \(-0.137169\pi\) | |||||||
\(264\) | −4.44556 | + | 3.91924i | −0.273606 | + | 0.241212i | ||||
\(265\) | −33.0070 | − | 27.6961i | −2.02760 | − | 1.70136i | ||||
\(266\) | 0.284056 | − | 1.02388i | 0.0174166 | − | 0.0627779i | ||||
\(267\) | −2.97887 | − | 4.88025i | −0.182304 | − | 0.298666i | ||||
\(268\) | −1.99857 | − | 0.727420i | −0.122082 | − | 0.0444343i | ||||
\(269\) | 13.8246 | + | 23.9449i | 0.842901 | + | 1.45995i | 0.887432 | + | 0.460939i | \(0.152487\pi\) |
−0.0445311 | + | 0.999008i | \(0.514179\pi\) | |||||||
\(270\) | −20.4223 | + | 1.49929i | −1.24286 | + | 0.0912439i | ||||
\(271\) | 8.35025 | − | 14.4631i | 0.507242 | − | 0.878568i | −0.492723 | − | 0.870186i | \(-0.663998\pi\) |
0.999965 | − | 0.00838234i | \(-0.00266821\pi\) | |||||||
\(272\) | −1.29805 | − | 7.36162i | −0.0787060 | − | 0.446364i | ||||
\(273\) | −9.79120 | − | 20.1696i | −0.592590 | − | 1.22072i | ||||
\(274\) | −11.5061 | + | 4.18787i | −0.695107 | + | 0.252998i | ||||
\(275\) | −33.8585 | + | 12.3235i | −2.04174 | + | 0.743134i | ||||
\(276\) | −7.65642 | − | 2.57673i | −0.460862 | − | 0.155101i | ||||
\(277\) | 4.46825 | + | 25.3407i | 0.268471 | + | 1.52258i | 0.758965 | + | 0.651132i | \(0.225705\pi\) |
−0.490494 | + | 0.871445i | \(0.663183\pi\) | |||||||
\(278\) | −5.58161 | −0.334763 | ||||||||
\(279\) | 14.2278 | − | 5.98058i | 0.851796 | − | 0.358048i | ||||
\(280\) | −6.05556 | + | 8.48780i | −0.361889 | + | 0.507243i | ||||
\(281\) | −1.53256 | + | 1.28597i | −0.0914249 | + | 0.0767146i | −0.687355 | − | 0.726322i | \(-0.741228\pi\) |
0.595930 | + | 0.803037i | \(0.296784\pi\) | |||||||
\(282\) | −1.50947 | − | 1.20501i | −0.0898878 | − | 0.0717575i | ||||
\(283\) | −25.0437 | + | 9.11517i | −1.48869 | + | 0.541841i | −0.953106 | − | 0.302638i | \(-0.902133\pi\) |
−0.535589 | + | 0.844479i | \(0.679910\pi\) | |||||||
\(284\) | −3.22817 | + | 1.17496i | −0.191557 | + | 0.0697209i | ||||
\(285\) | 2.14235 | + | 1.71024i | 0.126902 | + | 0.101306i | ||||
\(286\) | 12.8242 | − | 10.7607i | 0.758308 | − | 0.636296i | ||||
\(287\) | −7.94313 | − | 0.765632i | −0.468868 | − | 0.0451938i | ||||
\(288\) | −2.38956 | − | 1.81383i | −0.140806 | − | 0.106881i | ||||
\(289\) | 38.8784 | 2.28697 | ||||||||
\(290\) | 0.775151 | + | 4.39610i | 0.0455184 | + | 0.258148i | ||||
\(291\) | 22.4000 | + | 7.53861i | 1.31311 | + | 0.441921i | ||||
\(292\) | 2.06649 | − | 0.752143i | 0.120932 | − | 0.0440158i | ||||
\(293\) | 20.0174 | − | 7.28576i | 1.16943 | − | 0.425638i | 0.316974 | − | 0.948434i | \(-0.397333\pi\) |
0.852458 | + | 0.522796i | \(0.175111\pi\) | |||||||
\(294\) | 4.22388 | + | 11.3648i | 0.246341 | + | 0.662809i | ||||
\(295\) | 2.35059 | + | 13.3309i | 0.136857 | + | 0.776154i | ||||
\(296\) | −1.59639 | + | 2.76503i | −0.0927883 | + | 0.160714i | ||||
\(297\) | −17.1077 | − | 4.84137i | −0.992688 | − | 0.280925i | ||||
\(298\) | −8.16099 | − | 14.1353i | −0.472754 | − | 0.818833i | ||||
\(299\) | 21.4430 | + | 7.80463i | 1.24008 | + | 0.451353i | ||||
\(300\) | −9.50265 | − | 15.5681i | −0.548636 | − | 0.898824i | ||||
\(301\) | 7.35015 | + | 7.48105i | 0.423655 | + | 0.431200i | ||||
\(302\) | −8.45268 | − | 7.09264i | −0.486397 | − | 0.408135i | ||||
\(303\) | 1.69467 | − | 1.49403i | 0.0973560 | − | 0.0858296i | ||||
\(304\) | 0.0697382 | + | 0.395505i | 0.00399976 | + | 0.0226838i | ||||
\(305\) | −20.3266 | + | 35.2067i | −1.16390 | + | 2.01593i | ||||
\(306\) | 16.4545 | − | 15.2366i | 0.940642 | − | 0.871020i | ||||
\(307\) | 6.56172 | − | 11.3652i | 0.374497 | − | 0.648648i | −0.615754 | − | 0.787938i | \(-0.711149\pi\) |
0.990252 | + | 0.139290i | \(0.0444820\pi\) | |||||||
\(308\) | −7.46123 | + | 5.12687i | −0.425143 | + | 0.292131i | ||||
\(309\) | −11.0772 | − | 8.84291i | −0.630158 | − | 0.503056i | ||||
\(310\) | 15.5307 | + | 13.0318i | 0.882087 | + | 0.740159i | ||||
\(311\) | 22.1261 | − | 8.05326i | 1.25466 | − | 0.456658i | 0.372685 | − | 0.927958i | \(-0.378437\pi\) |
0.881973 | + | 0.471300i | \(0.156215\pi\) | |||||||
\(312\) | 6.62270 | + | 5.28691i | 0.374937 | + | 0.299312i | ||||
\(313\) | 0.500193 | + | 2.83674i | 0.0282726 | + | 0.160342i | 0.995675 | − | 0.0929009i | \(-0.0296140\pi\) |
−0.967403 | + | 0.253243i | \(0.918503\pi\) | |||||||
\(314\) | −6.75497 | + | 11.7000i | −0.381205 | + | 0.660266i | ||||
\(315\) | −31.2447 | − | 1.47701i | −1.76044 | − | 0.0832201i | ||||
\(316\) | −8.12359 | − | 14.0705i | −0.456988 | − | 0.791526i | ||||
\(317\) | −0.766578 | + | 0.643236i | −0.0430553 | + | 0.0361277i | −0.664061 | − | 0.747678i | \(-0.731169\pi\) |
0.621006 | + | 0.783806i | \(0.286724\pi\) | |||||||
\(318\) | 14.2053 | − | 12.5235i | 0.796592 | − | 0.702280i | ||||
\(319\) | −0.673029 | + | 3.81693i | −0.0376824 | + | 0.213707i | ||||
\(320\) | 0.684323 | − | 3.88099i | 0.0382548 | − | 0.216954i | ||||
\(321\) | 24.7732 | − | 0.605270i | 1.38270 | − | 0.0337829i | ||||
\(322\) | −11.1373 | − | 5.31358i | −0.620658 | − | 0.296114i | ||||
\(323\) | −3.00208 | −0.167040 | ||||||||
\(324\) | 0.690723 | − | 8.97346i | 0.0383735 | − | 0.498525i | ||||
\(325\) | 25.7603 | + | 44.6181i | 1.42892 | + | 2.47497i | ||||
\(326\) | −3.19018 | + | 2.67688i | −0.176688 | + | 0.148259i | ||||
\(327\) | −7.75446 | + | 14.2224i | −0.428822 | + | 0.786503i | ||||
\(328\) | 2.83424 | − | 1.03158i | 0.156495 | − | 0.0569594i | ||||
\(329\) | −2.06773 | − | 2.10455i | −0.113998 | − | 0.116028i | ||||
\(330\) | −4.61623 | − | 22.8948i | −0.254115 | − | 1.26032i | ||||
\(331\) | −5.66595 | + | 4.75430i | −0.311429 | + | 0.261320i | −0.785082 | − | 0.619392i | \(-0.787379\pi\) |
0.473654 | + | 0.880711i | \(0.342935\pi\) | |||||||
\(332\) | 0.542925 | − | 0.940374i | 0.0297969 | − | 0.0516097i | ||||
\(333\) | −9.56691 | + | 0.467765i | −0.524263 | + | 0.0256334i | ||||
\(334\) | 7.87137 | + | 13.6336i | 0.430702 | + | 0.745998i | ||||
\(335\) | 6.42064 | − | 5.38756i | 0.350797 | − | 0.294354i | ||||
\(336\) | −3.29053 | − | 3.18942i | −0.179513 | − | 0.173997i | ||||
\(337\) | 0.107710 | − | 0.610855i | 0.00586734 | − | 0.0332754i | −0.981734 | − | 0.190261i | \(-0.939067\pi\) |
0.987601 | + | 0.156986i | \(0.0501777\pi\) | |||||||
\(338\) | −8.37840 | − | 7.03031i | −0.455725 | − | 0.382398i | ||||
\(339\) | −1.45674 | + | 9.63179i | −0.0791192 | + | 0.523127i | ||||
\(340\) | 27.6821 | + | 10.0755i | 1.50127 | + | 0.546418i | ||||
\(341\) | 8.80147 | + | 15.2446i | 0.476627 | + | 0.825541i | ||||
\(342\) | −0.884023 | + | 0.818591i | −0.0478025 | + | 0.0442643i | ||||
\(343\) | 4.31811 | + | 18.0098i | 0.233156 | + | 0.972439i | ||||
\(344\) | −3.72490 | − | 1.35575i | −0.200833 | − | 0.0730973i | ||||
\(345\) | 23.8805 | − | 21.0532i | 1.28568 | − | 1.13347i | ||||
\(346\) | 4.15976 | − | 23.5912i | 0.223630 | − | 1.26827i | ||||
\(347\) | −4.03981 | − | 3.38980i | −0.216868 | − | 0.181974i | 0.527881 | − | 0.849318i | \(-0.322987\pi\) |
−0.744750 | + | 0.667344i | \(0.767431\pi\) | |||||||
\(348\) | −1.96136 | + | 0.0479207i | −0.105140 | + | 0.00256882i | ||||
\(349\) | −4.38282 | − | 24.8562i | −0.234607 | − | 1.33052i | −0.843440 | − | 0.537224i | \(-0.819473\pi\) |
0.608833 | − | 0.793298i | \(-0.291638\pi\) | |||||||
\(350\) | −11.5511 | − | 25.3533i | −0.617435 | − | 1.35519i | ||||
\(351\) | −2.56964 | + | 25.2923i | −0.137157 | + | 1.35000i | ||||
\(352\) | 1.71083 | − | 2.96325i | 0.0911878 | − | 0.157942i | ||||
\(353\) | −1.83786 | + | 1.54215i | −0.0978196 | + | 0.0820804i | −0.690386 | − | 0.723441i | \(-0.742559\pi\) |
0.592566 | + | 0.805522i | \(0.298115\pi\) | |||||||
\(354\) | −5.94768 | + | 0.145316i | −0.316115 | + | 0.00772348i | ||||
\(355\) | 2.35089 | − | 13.3325i | 0.124772 | − | 0.707618i | ||||
\(356\) | 2.52874 | + | 2.12186i | 0.134023 | + | 0.112459i | ||||
\(357\) | 27.7506 | − | 20.0836i | 1.46872 | − | 1.06294i | ||||
\(358\) | 10.3398 | + | 3.76337i | 0.546474 | + | 0.198900i | ||||
\(359\) | −16.6016 | −0.876201 | −0.438101 | − | 0.898926i | \(-0.644349\pi\) | ||||
−0.438101 | + | 0.898926i | \(0.644349\pi\) | |||||||
\(360\) | 10.8989 | − | 4.58128i | 0.574420 | − | 0.241455i | ||||
\(361\) | −18.8387 | −0.991511 | ||||||||
\(362\) | 0.174316 | + | 0.988595i | 0.00916184 | + | 0.0519594i | ||||
\(363\) | 0.183336 | − | 1.21220i | 0.00962265 | − | 0.0636238i | ||||
\(364\) | 9.07202 | + | 9.23358i | 0.475503 | + | 0.483971i | ||||
\(365\) | −1.50491 | + | 8.53475i | −0.0787704 | + | 0.446729i | ||||
\(366\) | −13.9638 | − | 11.1473i | −0.729897 | − | 0.582677i | ||||
\(367\) | −8.81224 | − | 3.20739i | −0.459995 | − | 0.167425i | 0.101620 | − | 0.994823i | \(-0.467598\pi\) |
−0.561615 | + | 0.827399i | \(0.689820\pi\) | |||||||
\(368\) | 4.66406 | 0.243131 | ||||||||
\(369\) | 7.20725 | + | 5.47076i | 0.375194 | + | 0.284796i | ||||
\(370\) | −6.29115 | − | 10.8966i | −0.327061 | − | 0.566487i | ||||
\(371\) | 23.8415 | − | 16.3823i | 1.23779 | − | 0.850527i | ||||
\(372\) | −6.68400 | + | 5.89265i | −0.346549 | + | 0.305520i | ||||
\(373\) | 24.7784 | − | 9.01860i | 1.28298 | − | 0.466966i | 0.391561 | − | 0.920152i | \(-0.371935\pi\) |
0.891416 | + | 0.453186i | \(0.149713\pi\) | |||||||
\(374\) | 19.5936 | + | 16.4410i | 1.01316 | + | 0.850143i | ||||
\(375\) | 37.7377 | − | 0.922026i | 1.94877 | − | 0.0476132i | ||||
\(376\) | 1.04788 | + | 0.381398i | 0.0540404 | + | 0.0196691i | ||||
\(377\) | 5.54194 | 0.285425 | ||||||||
\(378\) | 2.69544 | − | 13.4809i | 0.138638 | − | 0.693383i | ||||
\(379\) | 21.8385 | 1.12177 | 0.560883 | − | 0.827895i | \(-0.310462\pi\) | ||||
0.560883 | + | 0.827895i | \(0.310462\pi\) | |||||||
\(380\) | −1.48723 | − | 0.541306i | −0.0762931 | − | 0.0277684i | ||||
\(381\) | 1.12914 | − | 2.07096i | 0.0578478 | − | 0.106099i | ||||
\(382\) | 1.17773 | + | 0.988232i | 0.0602579 | + | 0.0505624i | ||||
\(383\) | 36.2901 | − | 13.2085i | 1.85434 | − | 0.674923i | 0.871513 | − | 0.490373i | \(-0.163139\pi\) |
0.982823 | − | 0.184550i | \(-0.0590828\pi\) | |||||||
\(384\) | 1.64158 | + | 0.552465i | 0.0837715 | + | 0.0281929i | ||||
\(385\) | −2.79559 | − | 35.5664i | −0.142476 | − | 1.81263i | ||||
\(386\) | 9.07237 | + | 15.7138i | 0.461771 | + | 0.799812i | ||||
\(387\) | −2.63446 | − | 11.5964i | −0.133917 | − | 0.589478i | ||||
\(388\) | −13.6454 | −0.692740 | ||||||||
\(389\) | 16.3454 | + | 5.94922i | 0.828742 | + | 0.301638i | 0.721343 | − | 0.692578i | \(-0.243525\pi\) |
0.107400 | + | 0.994216i | \(0.465748\pi\) | |||||||
\(390\) | −31.0932 | + | 12.1850i | −1.57446 | + | 0.617013i | ||||
\(391\) | −6.05419 | + | 34.3350i | −0.306174 | + | 1.73640i | ||||
\(392\) | −4.40416 | − | 5.44090i | −0.222444 | − | 0.274807i | ||||
\(393\) | 28.9256 | − | 11.3356i | 1.45910 | − | 0.571805i | ||||
\(394\) | −2.09873 | − | 11.9025i | −0.105732 | − | 0.599637i | ||||
\(395\) | 64.0279 | 3.22159 | ||||||||
\(396\) | 10.2528 | − | 0.501299i | 0.515221 | − | 0.0251912i | ||||
\(397\) | −26.6310 | −1.33657 | −0.668285 | − | 0.743905i | \(-0.732971\pi\) | ||||
−0.668285 | + | 0.743905i | \(0.732971\pi\) | |||||||
\(398\) | 0.896864 | + | 0.326432i | 0.0449558 | + | 0.0163626i | ||||
\(399\) | −1.49091 | + | 1.07900i | −0.0746387 | + | 0.0540173i | ||||
\(400\) | 8.06673 | + | 6.76879i | 0.403336 | + | 0.338440i | ||||
\(401\) | 3.51981 | − | 19.9619i | 0.175771 | − | 0.996848i | −0.761479 | − | 0.648190i | \(-0.775526\pi\) |
0.937250 | − | 0.348658i | \(-0.113363\pi\) | |||||||
\(402\) | 1.91927 | + | 3.14431i | 0.0957243 | + | 0.156824i | ||||
\(403\) | 19.2814 | − | 16.1790i | 0.960474 | − | 0.805934i | ||||
\(404\) | −0.652176 | + | 1.12960i | −0.0324470 | + | 0.0561998i | ||||
\(405\) | 29.2643 | + | 20.0389i | 1.45416 | + | 0.995742i | ||||
\(406\) | −2.98309 | − | 0.287538i | −0.148048 | − | 0.0142702i | ||||
\(407\) | −1.89704 | − | 10.7587i | −0.0940329 | − | 0.533287i | ||||
\(408\) | −6.19790 | + | 11.3676i | −0.306842 | + | 0.562778i | ||||
\(409\) | −0.475135 | − | 0.398686i | −0.0234939 | − | 0.0197137i | 0.630965 | − | 0.775811i | \(-0.282659\pi\) |
−0.654459 | + | 0.756098i | \(0.727104\pi\) | |||||||
\(410\) | −2.06401 | + | 11.7056i | −0.101934 | + | 0.578098i | ||||
\(411\) | 20.1003 | + | 6.76466i | 0.991475 | + | 0.333676i | ||||
\(412\) | 7.68981 | + | 2.79886i | 0.378850 | + | 0.137890i | ||||
\(413\) | −9.04601 | − | 0.871938i | −0.445125 | − | 0.0429053i | ||||
\(414\) | 7.57951 | + | 11.7615i | 0.372512 | + | 0.578044i | ||||
\(415\) | 2.13959 | + | 3.70588i | 0.105028 | + | 0.181914i | ||||
\(416\) | −4.59751 | − | 1.67336i | −0.225411 | − | 0.0820431i | ||||
\(417\) | 7.55541 | + | 6.03149i | 0.369990 | + | 0.295363i | ||||
\(418\) | −1.05267 | − | 0.883295i | −0.0514878 | − | 0.0432034i | ||||
\(419\) | 1.34242 | − | 7.61322i | 0.0655813 | − | 0.371930i | −0.934300 | − | 0.356489i | \(-0.883974\pi\) |
0.999881 | − | 0.0154409i | \(-0.00491518\pi\) | |||||||
\(420\) | 17.3689 | − | 4.94566i | 0.847515 | − | 0.241324i | ||||
\(421\) | −0.346722 | + | 0.290934i | −0.0168982 | + | 0.0141793i | −0.651198 | − | 0.758908i | \(-0.725733\pi\) |
0.634299 | + | 0.773087i | \(0.281289\pi\) | |||||||
\(422\) | −7.91084 | − | 13.7020i | −0.385094 | − | 0.667002i | ||||
\(423\) | 0.741122 | + | 3.26227i | 0.0360346 | + | 0.158617i | ||||
\(424\) | −5.46677 | + | 9.46872i | −0.265490 | + | 0.459842i | ||||
\(425\) | −60.3003 | + | 50.5980i | −2.92499 | + | 2.45436i | ||||
\(426\) | 5.63939 | + | 1.89791i | 0.273230 | + | 0.0919540i | ||||
\(427\) | −19.1280 | − | 19.4687i | −0.925671 | − | 0.942156i | ||||
\(428\) | −13.4443 | + | 4.89331i | −0.649853 | + | 0.236527i | ||||
\(429\) | −28.9872 | + | 0.708228i | −1.39951 | + | 0.0341936i | ||||
\(430\) | 11.9667 | − | 10.0412i | 0.577085 | − | 0.484232i | ||||
\(431\) | −18.4614 | − | 31.9760i | −0.889253 | − | 1.54023i | −0.840760 | − | 0.541408i | \(-0.817891\pi\) |
−0.0484934 | − | 0.998824i | \(-0.515442\pi\) | |||||||
\(432\) | 1.27455 | + | 5.03741i | 0.0613217 | + | 0.242363i | ||||
\(433\) | −36.6719 | −1.76234 | −0.881169 | − | 0.472801i | \(-0.843243\pi\) | ||||
−0.881169 | + | 0.472801i | \(0.843243\pi\) | |||||||
\(434\) | −11.2181 | + | 7.70836i | −0.538487 | + | 0.370013i | ||||
\(435\) | 3.70116 | − | 6.78830i | 0.177457 | − | 0.325474i | ||||
\(436\) | 1.62405 | − | 9.21044i | 0.0777779 | − | 0.441100i | ||||
\(437\) | 0.325263 | − | 1.84466i | 0.0155594 | − | 0.0882419i | ||||
\(438\) | −3.61003 | − | 1.21494i | −0.172494 | − | 0.0580519i | ||||
\(439\) | 16.9717 | − | 14.2409i | 0.810015 | − | 0.679683i | −0.140596 | − | 0.990067i | \(-0.544902\pi\) |
0.950611 | + | 0.310384i | \(0.100458\pi\) | |||||||
\(440\) | 6.74216 | + | 11.6778i | 0.321420 | + | 0.556715i | ||||
\(441\) | 6.56327 | − | 19.9480i | 0.312537 | − | 0.949906i | ||||
\(442\) | 18.2864 | − | 31.6730i | 0.869797 | − | 1.50653i | ||||
\(443\) | −4.65340 | − | 26.3907i | −0.221090 | − | 1.25386i | −0.870021 | − | 0.493015i | \(-0.835895\pi\) |
0.648931 | − | 0.760847i | \(-0.275216\pi\) | |||||||
\(444\) | 5.14881 | − | 2.01775i | 0.244352 | − | 0.0957583i | ||||
\(445\) | −12.2244 | + | 4.44931i | −0.579491 | + | 0.210917i | ||||
\(446\) | −9.56624 | − | 8.02703i | −0.452975 | − | 0.380091i | ||||
\(447\) | −4.22764 | + | 27.9526i | −0.199960 | + | 1.32211i | ||||
\(448\) | 2.38790 | + | 1.13926i | 0.112818 | + | 0.0538251i | ||||
\(449\) | −4.09017 | + | 7.08439i | −0.193027 | + | 0.334333i | −0.946252 | − | 0.323430i | \(-0.895164\pi\) |
0.753225 | + | 0.657763i | \(0.228497\pi\) | |||||||
\(450\) | −3.95986 | + | 31.3419i | −0.186669 | + | 1.47747i | ||||
\(451\) | −5.16011 | + | 8.93757i | −0.242980 | + | 0.420854i | ||||
\(452\) | −0.976624 | − | 5.53871i | −0.0459366 | − | 0.260519i | ||||
\(453\) | 3.77745 | + | 18.7347i | 0.177480 | + | 0.880235i | ||||
\(454\) | −17.3319 | − | 14.5432i | −0.813428 | − | 0.682548i | ||||
\(455\) | −49.3889 | + | 12.7676i | −2.31539 | + | 0.598555i | ||||
\(456\) | 0.332983 | − | 0.610725i | 0.0155934 | − | 0.0285998i | ||||
\(457\) | 1.74311 | + | 0.634441i | 0.0815394 | + | 0.0296779i | 0.382468 | − | 0.923969i | \(-0.375074\pi\) |
−0.300928 | + | 0.953647i | \(0.597297\pi\) | |||||||
\(458\) | −6.59162 | − | 11.4170i | −0.308006 | − | 0.533482i | ||||
\(459\) | −38.7380 | + | 2.84392i | −1.80813 | + | 0.132743i | ||||
\(460\) | −9.19019 | + | 15.9179i | −0.428495 | + | 0.742175i | ||||
\(461\) | 5.89233 | + | 33.4171i | 0.274433 | + | 1.55639i | 0.740757 | + | 0.671774i | \(0.234467\pi\) |
−0.466323 | + | 0.884614i | \(0.654422\pi\) | |||||||
\(462\) | 15.6398 | + | 1.12275i | 0.727630 | + | 0.0522349i | ||||
\(463\) | 1.39988 | − | 0.509514i | 0.0650578 | − | 0.0236791i | −0.309286 | − | 0.950969i | \(-0.600090\pi\) |
0.374344 | + | 0.927290i | \(0.377868\pi\) | |||||||
\(464\) | 1.06442 | − | 0.387415i | 0.0494142 | − | 0.0179853i | ||||
\(465\) | −6.94060 | − | 34.4228i | −0.321862 | − | 1.59632i | ||||
\(466\) | 2.17451 | + | 12.3323i | 0.100732 | + | 0.571282i | ||||
\(467\) | −23.9827 | −1.10979 | −0.554894 | − | 0.831921i | \(-0.687241\pi\) | ||||
−0.554894 | + | 0.831921i | \(0.687241\pi\) | |||||||
\(468\) | −3.25162 | − | 14.3130i | −0.150306 | − | 0.661619i | ||||
\(469\) | 2.33300 | + | 5.12065i | 0.107728 | + | 0.236450i | ||||
\(470\) | −3.36644 | + | 2.82478i | −0.155283 | + | 0.130297i | ||||
\(471\) | 21.7867 | − | 8.53793i | 1.00388 | − | 0.393407i | ||||
\(472\) | 3.22777 | − | 1.17481i | 0.148570 | − | 0.0540751i | ||||
\(473\) | 12.7454 | − | 4.63894i | 0.586033 | − | 0.213299i | ||||
\(474\) | −4.20826 | + | 27.8245i | −0.193292 | + | 1.27802i | ||||
\(475\) | 3.23965 | − | 2.71839i | 0.148645 | − | 0.124728i | ||||
\(476\) | −11.4864 | + | 16.1000i | −0.526480 | + | 0.737943i | ||||
\(477\) | −32.7615 | + | 1.60184i | −1.50004 | + | 0.0733433i | ||||
\(478\) | 22.7206 | 1.03922 | ||||||||
\(479\) | 2.17803 | + | 12.3522i | 0.0995168 | + | 0.564388i | 0.993269 | + | 0.115827i | \(0.0369520\pi\) |
−0.893753 | + | 0.448560i | \(0.851937\pi\) | |||||||
\(480\) | −5.12012 | + | 4.51393i | −0.233700 | + | 0.206032i | ||||
\(481\) | −14.6788 | + | 5.34266i | −0.669297 | + | 0.243604i | ||||
\(482\) | −1.44306 | + | 0.525231i | −0.0657296 | + | 0.0239236i | ||||
\(483\) | 9.33389 | + | 19.2276i | 0.424707 | + | 0.874886i | ||||
\(484\) | 0.122912 | + | 0.697067i | 0.00558690 | + | 0.0316849i | ||||
\(485\) | 26.8873 | − | 46.5701i | 1.22089 | − | 2.11464i | ||||
\(486\) | −10.6317 | + | 11.4003i | −0.482264 | + | 0.517128i | ||||
\(487\) | −8.44716 | − | 14.6309i | −0.382777 | − | 0.662990i | 0.608681 | − | 0.793415i | \(-0.291699\pi\) |
−0.991458 | + | 0.130425i | \(0.958366\pi\) | |||||||
\(488\) | 9.69369 | + | 3.52822i | 0.438813 | + | 0.159715i | ||||
\(489\) | 7.21095 | − | 0.176181i | 0.326090 | − | 0.00796719i | ||||
\(490\) | 27.2472 | − | 4.30999i | 1.23090 | − | 0.194706i | ||||
\(491\) | −1.49431 | − | 1.25388i | −0.0674373 | − | 0.0565866i | 0.608446 | − | 0.793595i | \(-0.291793\pi\) |
−0.675883 | + | 0.737009i | \(0.736238\pi\) | |||||||
\(492\) | −4.95123 | − | 1.66631i | −0.223219 | − | 0.0751231i | ||||
\(493\) | 1.47034 | + | 8.33871i | 0.0662207 | + | 0.375556i | ||||
\(494\) | −0.982443 | + | 1.70164i | −0.0442022 | + | 0.0765604i | ||||
\(495\) | −18.4915 | + | 35.9793i | −0.831129 | + | 1.61715i | ||||
\(496\) | 2.57227 | − | 4.45531i | 0.115499 | − | 0.200049i | ||||
\(497\) | 8.20328 | + | 3.91376i | 0.367967 | + | 0.175556i | ||||
\(498\) | −1.75109 | + | 0.686229i | −0.0784680 | + | 0.0307506i | ||||
\(499\) | −3.07558 | − | 2.58071i | −0.137682 | − | 0.115529i | 0.571346 | − | 0.820709i | \(-0.306421\pi\) |
−0.709028 | + | 0.705181i | \(0.750866\pi\) | |||||||
\(500\) | −20.4800 | + | 7.45412i | −0.915895 | + | 0.333359i | ||||
\(501\) | 4.07760 | − | 26.9606i | 0.182174 | − | 1.20451i | ||||
\(502\) | −1.50648 | − | 8.54366i | −0.0672374 | − | 0.381322i | ||||
\(503\) | 11.6682 | − | 20.2098i | 0.520257 | − | 0.901112i | −0.479465 | − | 0.877561i | \(-0.659169\pi\) |
0.999723 | − | 0.0235513i | \(-0.00749732\pi\) | |||||||
\(504\) | 1.00765 | + | 7.87303i | 0.0448844 | + | 0.350693i | ||||
\(505\) | −2.57013 | − | 4.45160i | −0.114369 | − | 0.198094i | ||||
\(506\) | −12.2252 | + | 10.2582i | −0.543476 | + | 0.456031i | ||||
\(507\) | 3.74425 | + | 18.5701i | 0.166288 | + | 0.824727i | ||||
\(508\) | −0.236481 | + | 1.34115i | −0.0104922 | + | 0.0595040i | ||||
\(509\) | 1.79317 | − | 10.1696i | 0.0794808 | − | 0.450758i | −0.918931 | − | 0.394419i | \(-0.870946\pi\) |
0.998412 | − | 0.0563393i | \(-0.0179429\pi\) | |||||||
\(510\) | −26.5836 | − | 43.5517i | −1.17714 | − | 1.92850i | ||||
\(511\) | −5.25128 | − | 2.50537i | −0.232303 | − | 0.110831i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.08121 | − | 0.152790i | 0.0918875 | − | 0.00674585i | ||||
\(514\) | 5.64773 | + | 9.78216i | 0.249111 | + | 0.431473i | ||||
\(515\) | −24.7044 | + | 20.7295i | −1.08861 | + | 0.913450i | ||||
\(516\) | 3.57709 | + | 5.86031i | 0.157473 | + | 0.257986i | ||||
\(517\) | −3.58551 | + | 1.30502i | −0.157690 | + | 0.0573946i | ||||
\(518\) | 8.17844 | − | 2.11422i | 0.359340 | − | 0.0928937i | ||||
\(519\) | −31.1234 | + | 27.4386i | −1.36617 | + | 1.20442i | ||||
\(520\) | 14.7700 | − | 12.3935i | 0.647709 | − | 0.543492i | ||||
\(521\) | −3.91764 | + | 6.78555i | −0.171635 | + | 0.297280i | −0.938992 | − | 0.343940i | \(-0.888238\pi\) |
0.767357 | + | 0.641220i | \(0.221572\pi\) | |||||||
\(522\) | 2.70672 | + | 2.05458i | 0.118470 | + | 0.0899263i | ||||
\(523\) | −0.560714 | − | 0.971185i | −0.0245183 | − | 0.0424670i | 0.853506 | − | 0.521083i | \(-0.174472\pi\) |
−0.878024 | + | 0.478616i | \(0.841139\pi\) | |||||||
\(524\) | −13.7404 | + | 11.5296i | −0.600252 | + | 0.503671i | ||||
\(525\) | −11.7609 | + | 46.8011i | −0.513288 | + | 2.04257i | ||||
\(526\) | 1.42830 | − | 8.10028i | 0.0622767 | − | 0.353189i | ||||
\(527\) | 29.4594 | + | 24.7193i | 1.28327 | + | 1.07679i | ||||
\(528\) | −5.51792 | + | 2.16241i | −0.240137 | + | 0.0941066i | ||||
\(529\) | 1.17140 | + | 0.426356i | 0.0509306 | + | 0.0185372i | ||||
\(530\) | −21.5438 | − | 37.3149i | −0.935801 | − | 1.62086i | ||||
\(531\) | 8.20796 | + | 6.23036i | 0.356195 | + | 0.270375i | ||||
\(532\) | 0.617112 | − | 0.864977i | 0.0267552 | − | 0.0375015i | ||||
\(533\) | 13.8667 | + | 5.04707i | 0.600634 | + | 0.218613i | ||||
\(534\) | −1.13008 | − | 5.60476i | −0.0489032 | − | 0.242542i | ||||
\(535\) | 9.79066 | − | 55.5256i | 0.423287 | − | 2.40058i | ||||
\(536\) | −1.62925 | − | 1.36710i | −0.0703729 | − | 0.0590498i | ||||
\(537\) | −9.92949 | − | 16.2674i | −0.428489 | − | 0.701989i | ||||
\(538\) | 4.80123 | + | 27.2291i | 0.206996 | + | 1.17393i | ||||
\(539\) | 23.5107 | + | 4.57486i | 1.01268 | + | 0.197053i | ||||
\(540\) | −19.7035 | − | 5.57598i | −0.847904 | − | 0.239952i | ||||
\(541\) | −9.55597 | + | 16.5514i | −0.410843 | + | 0.711602i | −0.994982 | − | 0.100052i | \(-0.968099\pi\) |
0.584139 | + | 0.811654i | \(0.301432\pi\) | |||||||
\(542\) | 12.7933 | − | 10.7349i | 0.549521 | − | 0.461103i | ||||
\(543\) | 0.832318 | − | 1.52655i | 0.0357182 | − | 0.0655107i | ||||
\(544\) | 1.29805 | − | 7.36162i | 0.0556535 | − | 0.315627i | ||||
\(545\) | 28.2341 | + | 23.6912i | 1.20942 | + | 1.01482i | ||||
\(546\) | −2.30230 | − | 22.3020i | −0.0985292 | − | 0.954439i | ||||
\(547\) | 8.34510 | + | 3.03737i | 0.356811 | + | 0.129868i | 0.514205 | − | 0.857667i | \(-0.328087\pi\) |
−0.157394 | + | 0.987536i | \(0.550309\pi\) | |||||||
\(548\) | −12.2445 | −0.523059 | ||||||||
\(549\) | 6.85594 | + | 30.1785i | 0.292604 | + | 1.28799i | ||||
\(550\) | −36.0314 | −1.53639 | ||||||||
\(551\) | −0.0789943 | − | 0.447999i | −0.00336527 | − | 0.0190854i | ||||
\(552\) | −6.31339 | − | 5.03998i | −0.268716 | − | 0.214516i | ||||
\(553\) | −11.4916 | + | 41.4215i | −0.488673 | + | 1.76142i | ||||
\(554\) | −4.46825 | + | 25.3407i | −0.189838 | + | 1.07662i | ||||
\(555\) | −3.25900 | + | 21.5481i | −0.138337 | + | 0.914667i | ||||
\(556\) | −5.24500 | − | 1.90902i | −0.222437 | − | 0.0809606i | ||||
\(557\) | −27.6007 | −1.16948 | −0.584739 | − | 0.811222i | \(-0.698803\pi\) | ||||
−0.584739 | + | 0.811222i | \(0.698803\pi\) | |||||||
\(558\) | 15.4152 | − | 0.753714i | 0.652579 | − | 0.0319073i | ||||
\(559\) | −9.69697 | − | 16.7956i | −0.410138 | − | 0.710380i | ||||
\(560\) | −8.59336 | + | 5.90480i | −0.363136 | + | 0.249523i | ||||
\(561\) | −8.75626 | − | 43.4278i | −0.369689 | − | 1.83352i | ||||
\(562\) | −1.87996 | + | 0.684251i | −0.0793015 | + | 0.0288634i | ||||
\(563\) | 15.4294 | + | 12.9468i | 0.650273 | + | 0.545643i | 0.907154 | − | 0.420800i | \(-0.138250\pi\) |
−0.256881 | + | 0.966443i | \(0.582695\pi\) | |||||||
\(564\) | −1.00630 | − | 1.64861i | −0.0423729 | − | 0.0694191i | ||||
\(565\) | 20.8274 | + | 7.58054i | 0.876213 | + | 0.318916i | ||||
\(566\) | −26.6510 | −1.12022 | ||||||||
\(567\) | −18.2161 | + | 15.3354i | −0.765003 | + | 0.644026i | ||||
\(568\) | −3.43535 | −0.144144 | ||||||||
\(569\) | −32.8736 | − | 11.9650i | −1.37813 | − | 0.501599i | −0.456521 | − | 0.889713i | \(-0.650905\pi\) |
−0.921612 | + | 0.388113i | \(0.873127\pi\) | |||||||
\(570\) | 1.42821 | + | 2.33982i | 0.0598212 | + | 0.0980044i | ||||
\(571\) | 20.7076 | + | 17.3757i | 0.866586 | + | 0.727152i | 0.963376 | − | 0.268153i | \(-0.0864133\pi\) |
−0.0967906 | + | 0.995305i | \(0.530858\pi\) | |||||||
\(572\) | 15.7312 | − | 5.72567i | 0.657753 | − | 0.239402i | ||||
\(573\) | −0.526320 | − | 2.61035i | −0.0219873 | − | 0.109049i | ||||
\(574\) | −7.20224 | − | 3.43617i | −0.300616 | − | 0.143423i | ||||
\(575\) | −24.5571 | − | 42.5342i | −1.02410 | − | 1.77380i | ||||
\(576\) | −1.62509 | − | 2.52172i | −0.0677121 | − | 0.105072i | ||||
\(577\) | −13.2951 | −0.553483 | −0.276741 | − | 0.960944i | \(-0.589255\pi\) | ||||
−0.276741 | + | 0.960944i | \(0.589255\pi\) | |||||||
\(578\) | 36.5338 | + | 13.2972i | 1.51960 | + | 0.553091i | ||||
\(579\) | 4.69976 | − | 31.0742i | 0.195315 | − | 1.29140i | ||||
\(580\) | −0.775151 | + | 4.39610i | −0.0321864 | + | 0.182538i | ||||
\(581\) | −2.78145 | + | 0.719038i | −0.115394 | + | 0.0298307i | ||||
\(582\) | 18.4708 | + | 14.7452i | 0.765637 | + | 0.611209i | ||||
\(583\) | −6.49634 | − | 36.8426i | −0.269051 | − | 1.52586i | ||||
\(584\) | 2.19912 | 0.0910001 | ||||||||
\(585\) | 55.2557 | + | 17.1053i | 2.28454 | + | 0.707219i | ||||
\(586\) | 21.3021 | 0.879983 | ||||||||
\(587\) | −32.7194 | − | 11.9089i | −1.35047 | − | 0.491533i | −0.437379 | − | 0.899277i | \(-0.644093\pi\) |
−0.913096 | + | 0.407745i | \(0.866315\pi\) | |||||||
\(588\) | 0.0821516 | + | 12.1241i | 0.00338788 | + | 0.499989i | ||||
\(589\) | −1.58271 | − | 1.32805i | −0.0652145 | − | 0.0547214i | ||||
\(590\) | −2.35059 | + | 13.3309i | −0.0967724 | + | 0.548823i | ||||
\(591\) | −10.0209 | + | 18.3794i | −0.412206 | + | 0.756026i | ||||
\(592\) | −2.44581 | + | 2.05228i | −0.100522 | + | 0.0843482i | ||||
\(593\) | −0.406959 | + | 0.704873i | −0.0167118 | + | 0.0289457i | −0.874260 | − | 0.485457i | \(-0.838653\pi\) |
0.857549 | + | 0.514403i | \(0.171986\pi\) | |||||||
\(594\) | −14.4201 | − | 10.4006i | −0.591664 | − | 0.426740i | ||||
\(595\) | −32.3143 | − | 70.9258i | −1.32476 | − | 2.90768i | ||||
\(596\) | −2.83428 | − | 16.0740i | −0.116097 | − | 0.658418i | ||||
\(597\) | −0.861276 | − | 1.41102i | −0.0352497 | − | 0.0577492i | ||||
\(598\) | 17.4805 | + | 14.6679i | 0.714832 | + | 0.599815i | ||||
\(599\) | −1.32762 | + | 7.52930i | −0.0542451 | + | 0.307639i | −0.999843 | − | 0.0176974i | \(-0.994366\pi\) |
0.945598 | + | 0.325336i | \(0.105478\pi\) | |||||||
\(600\) | −3.60497 | − | 17.8793i | −0.147172 | − | 0.729920i | ||||
\(601\) | 30.4980 | + | 11.1004i | 1.24404 | + | 0.452793i | 0.878383 | − | 0.477957i | \(-0.158622\pi\) |
0.365656 | + | 0.930750i | \(0.380845\pi\) | |||||||
\(602\) | 4.34821 | + | 9.54378i | 0.177220 | + | 0.388976i | ||||
\(603\) | 0.799778 | − | 6.33018i | 0.0325695 | − | 0.257785i | ||||
\(604\) | −5.51709 | − | 9.55589i | −0.224487 | − | 0.388823i | ||||
\(605\) | −2.62120 | − | 0.954038i | −0.106567 | − | 0.0387872i | ||||
\(606\) | 2.10345 | − | 0.824317i | 0.0854469 | − | 0.0334856i | ||||
\(607\) | 33.8652 | + | 28.4163i | 1.37455 | + | 1.15338i | 0.971181 | + | 0.238344i | \(0.0766045\pi\) |
0.403367 | + | 0.915038i | \(0.367840\pi\) | |||||||
\(608\) | −0.0697382 | + | 0.395505i | −0.00282826 | + | 0.0160398i | ||||
\(609\) | 3.72727 | + | 3.61275i | 0.151037 | + | 0.146396i | ||||
\(610\) | −31.1421 | + | 26.1314i | −1.26091 | + | 1.05803i | ||||
\(611\) | 2.72793 | + | 4.72492i | 0.110360 | + | 0.191150i | ||||
\(612\) | 20.6734 | − | 8.68996i | 0.835673 | − | 0.351271i | ||||
\(613\) | 16.3949 | − | 28.3967i | 0.662182 | − | 1.14693i | −0.317859 | − | 0.948138i | \(-0.602964\pi\) |
0.980041 | − | 0.198795i | \(-0.0637028\pi\) | |||||||
\(614\) | 10.0531 | − | 8.43559i | 0.405712 | − | 0.340433i | ||||
\(615\) | 15.4430 | − | 13.6146i | 0.622720 | − | 0.548994i | ||||
\(616\) | −8.76476 | + | 2.26579i | −0.353142 | + | 0.0912914i | ||||
\(617\) | −6.94319 | + | 2.52711i | −0.279522 | + | 0.101738i | −0.477977 | − | 0.878372i | \(-0.658630\pi\) |
0.198455 | + | 0.980110i | \(0.436408\pi\) | |||||||
\(618\) | −7.38468 | − | 12.0982i | −0.297055 | − | 0.486662i | ||||
\(619\) | −35.4916 | + | 29.7810i | −1.42653 | + | 1.19700i | −0.478800 | + | 0.877924i | \(0.658928\pi\) |
−0.947729 | + | 0.319076i | \(0.896627\pi\) | |||||||
\(620\) | 10.1370 | + | 17.5578i | 0.407111 | + | 0.705136i | ||||
\(621\) | 2.44962 | − | 24.1110i | 0.0982999 | − | 0.967542i | ||||
\(622\) | 23.5461 | 0.944114 | ||||||||
\(623\) | −0.684375 | − | 8.70686i | −0.0274189 | − | 0.348833i | ||||
\(624\) | 4.41508 | + | 7.23317i | 0.176745 | + | 0.289559i | ||||
\(625\) | 5.77151 | − | 32.7319i | 0.230860 | − | 1.30927i | ||||
\(626\) | −0.500193 | + | 2.83674i | −0.0199917 | + | 0.113379i | ||||
\(627\) | 0.470432 | + | 2.33317i | 0.0187872 | + | 0.0931777i | ||||
\(628\) | −10.3492 | + | 8.68402i | −0.412979 | + | 0.346530i | ||||
\(629\) | −11.9333 | − | 20.6691i | −0.475812 | − | 0.824131i | ||||
\(630\) | −28.8553 | − | 12.0743i | −1.14962 | − | 0.481050i | ||||
\(631\) | −4.12433 | + | 7.14355i | −0.164187 | + | 0.284380i | −0.936366 | − | 0.351025i | \(-0.885833\pi\) |
0.772179 | + | 0.635405i | \(0.219167\pi\) | |||||||
\(632\) | −2.82129 | − | 16.0004i | −0.112225 | − | 0.636460i | ||||
\(633\) | −4.09805 | + | 27.0958i | −0.162883 | + | 1.07696i | ||||
\(634\) | −0.940348 | + | 0.342259i | −0.0373460 | + | 0.0135928i | ||||
\(635\) | −4.11123 | − | 3.44973i | −0.163149 | − | 0.136898i | ||||
\(636\) | 17.6319 | − | 6.90971i | 0.699149 | − | 0.273988i | ||||
\(637\) | 0.604507 | − | 34.2426i | 0.0239514 | − | 1.35674i | ||||
\(638\) | −1.93791 | + | 3.35656i | −0.0767225 | + | 0.132887i | ||||
\(639\) | −5.58275 | − | 8.66299i | −0.220850 | − | 0.342703i | ||||
\(640\) | 1.97043 | − | 3.41288i | 0.0778881 | − | 0.134906i | ||||
\(641\) | −3.71840 | − | 21.0881i | −0.146868 | − | 0.832930i | −0.965848 | − | 0.259108i | \(-0.916571\pi\) |
0.818980 | − | 0.573822i | \(-0.194540\pi\) | |||||||
\(642\) | 23.4862 | + | 7.90416i | 0.926926 | + | 0.311952i | ||||
\(643\) | 16.9584 | + | 14.2298i | 0.668775 | + | 0.561169i | 0.912703 | − | 0.408625i | \(-0.133991\pi\) |
−0.243928 | + | 0.969793i | \(0.578436\pi\) | |||||||
\(644\) | −8.64830 | − | 8.80232i | −0.340791 | − | 0.346860i | ||||
\(645\) | −27.0490 | + | 0.660873i | −1.06505 | + | 0.0260218i | ||||
\(646\) | −2.82103 | − | 1.02677i | −0.110992 | − | 0.0403978i | ||||
\(647\) | 9.06473 | + | 15.7006i | 0.356371 | + | 0.617253i | 0.987352 | − | 0.158546i | \(-0.0506805\pi\) |
−0.630980 | + | 0.775799i | \(0.717347\pi\) | |||||||
\(648\) | 3.71817 | − | 8.19605i | 0.146064 | − | 0.321971i | ||||
\(649\) | −5.87658 | + | 10.1785i | −0.230676 | + | 0.399542i | ||||
\(650\) | 8.94645 | + | 50.7378i | 0.350909 | + | 1.99010i | ||||
\(651\) | 23.5148 | + | 1.68807i | 0.921617 | + | 0.0661607i | ||||
\(652\) | −3.91334 | + | 1.42434i | −0.153258 | + | 0.0557814i | ||||
\(653\) | −32.3114 | + | 11.7604i | −1.26444 | + | 0.460219i | −0.885257 | − | 0.465102i | \(-0.846018\pi\) |
−0.379185 | + | 0.925321i | \(0.623796\pi\) | |||||||
\(654\) | −12.1512 | + | 10.7125i | −0.475148 | + | 0.418894i | ||||
\(655\) | −12.2746 | − | 69.6125i | −0.479607 | − | 2.71999i | ||||
\(656\) | 3.01614 | 0.117760 | ||||||||
\(657\) | 3.57376 | + | 5.54556i | 0.139426 | + | 0.216353i | ||||
\(658\) | −1.22323 | − | 2.68484i | −0.0476865 | − | 0.104666i | ||||
\(659\) | −23.6717 | + | 19.8629i | −0.922120 | + | 0.773751i | −0.974386 | − | 0.224883i | \(-0.927800\pi\) |
0.0522658 | + | 0.998633i | \(0.483356\pi\) | |||||||
\(660\) | 3.49264 | − | 23.0929i | 0.135951 | − | 0.898890i | ||||
\(661\) | 6.41894 | − | 2.33630i | 0.249668 | − | 0.0908716i | −0.214155 | − | 0.976800i | \(-0.568700\pi\) |
0.463823 | + | 0.885928i | \(0.346477\pi\) | |||||||
\(662\) | −6.95032 | + | 2.52971i | −0.270132 | + | 0.0983199i | ||||
\(663\) | −58.9789 | + | 23.1131i | −2.29055 | + | 0.897638i | ||||
\(664\) | 0.831809 | − | 0.697971i | 0.0322805 | − | 0.0270865i | ||||
\(665\) | 1.73609 | + | 3.81051i | 0.0673227 | + | 0.147765i | ||||
\(666\) | −9.14994 | − | 2.83252i | −0.354553 | − | 0.109758i | ||||
\(667\) | −5.28310 | −0.204563 | ||||||||
\(668\) | 2.73370 | + | 15.5036i | 0.105770 | + | 0.599851i | ||||
\(669\) | 4.27510 | + | 21.2029i | 0.165285 | + | 0.819751i | ||||
\(670\) | 7.87608 | − | 2.86666i | 0.304280 | − | 0.110749i | ||||
\(671\) | −33.1686 | + | 12.0724i | −1.28046 | + | 0.466049i | ||||
\(672\) | −2.00124 | − | 4.12250i | −0.0771995 | − | 0.159029i | ||||
\(673\) | 5.04760 | + | 28.6264i | 0.194571 | + | 1.10347i | 0.913029 | + | 0.407895i | \(0.133737\pi\) |
−0.718458 | + | 0.695570i | \(0.755152\pi\) | |||||||
\(674\) | 0.310139 | − | 0.537176i | 0.0119461 | − | 0.0206913i | ||||
\(675\) | 39.2283 | − | 38.1462i | 1.50990 | − | 1.46825i | ||||
\(676\) | −5.46861 | − | 9.47191i | −0.210331 | − | 0.364304i | ||||
\(677\) | −31.8021 | − | 11.5750i | −1.22225 | − | 0.444864i | −0.351315 | − | 0.936257i | \(-0.614265\pi\) |
−0.870938 | + | 0.491393i | \(0.836488\pi\) | |||||||
\(678\) | −4.66315 | + | 8.55268i | −0.179087 | + | 0.328464i | ||||
\(679\) | 25.3019 | + | 25.7525i | 0.970998 | + | 0.988291i | ||||
\(680\) | 22.5666 | + | 18.9357i | 0.865391 | + | 0.726149i | ||||
\(681\) | 7.74554 | + | 38.4150i | 0.296810 | + | 1.47207i | ||||
\(682\) | 3.05672 | + | 17.3355i | 0.117048 | + | 0.663811i | ||||
\(683\) | −3.77078 | + | 6.53117i | −0.144285 | + | 0.249908i | −0.929106 | − | 0.369814i | \(-0.879421\pi\) |
0.784821 | + | 0.619722i | \(0.212755\pi\) | |||||||
\(684\) | −1.11068 | + | 0.466870i | −0.0424681 | + | 0.0178512i | ||||
\(685\) | 24.1269 | − | 41.7890i | 0.921842 | − | 1.59668i | ||||
\(686\) | −2.10203 | + | 18.4006i | −0.0802559 | + | 0.702538i | ||||
\(687\) | −3.41466 | + | 22.5773i | −0.130277 | + | 0.861377i | ||||
\(688\) | −3.03657 | − | 2.54798i | −0.115768 | − | 0.0971409i | ||||
\(689\) | −50.2670 | + | 18.2957i | −1.91502 | + | 0.697011i | ||||
\(690\) | 29.6410 | − | 11.6159i | 1.12841 | − | 0.442211i | ||||
\(691\) | −2.81871 | − | 15.9857i | −0.107229 | − | 0.608124i | −0.990307 | − | 0.138898i | \(-0.955644\pi\) |
0.883078 | − | 0.469226i | \(-0.155467\pi\) | |||||||
\(692\) | 11.9776 | − | 20.7457i | 0.455318 | − | 0.788634i | ||||
\(693\) | −19.9572 | − | 18.4202i | −0.758112 | − | 0.699724i | ||||
\(694\) | −2.63680 | − | 4.56707i | −0.100091 | − | 0.173363i | ||||
\(695\) | 16.8502 | − | 14.1390i | 0.639163 | − | 0.536322i | ||||
\(696\) | −1.85946 | − | 0.625792i | −0.0704827 | − | 0.0237206i | ||||
\(697\) | −3.91510 | + | 22.2037i | −0.148295 | + | 0.841023i | ||||
\(698\) | 4.38282 | − | 24.8562i | 0.165892 | − | 0.940821i | ||||
\(699\) | 10.3828 | − | 19.0431i | 0.392713 | − | 0.720275i | ||||
\(700\) | −2.18317 | − | 27.7751i | −0.0825161 | − | 1.04980i | ||||
\(701\) | −22.5406 | −0.851348 | −0.425674 | − | 0.904877i | \(-0.639963\pi\) | ||||
−0.425674 | + | 0.904877i | \(0.639963\pi\) | |||||||
\(702\) | −11.0652 | + | 22.8881i | −0.417627 | + | 0.863857i | ||||
\(703\) | 0.641120 | + | 1.11045i | 0.0241803 | + | 0.0418815i | ||||
\(704\) | 2.62115 | − | 2.19941i | 0.0987883 | − | 0.0828933i | ||||
\(705\) | 7.60937 | − | 0.185916i | 0.286585 | − | 0.00700198i | ||||
\(706\) | −2.25447 | + | 0.820562i | −0.0848483 | + | 0.0308822i | ||||
\(707\) | 3.34116 | − | 0.863728i | 0.125657 | − | 0.0324838i | ||||
\(708\) | −5.63869 | − | 1.89767i | −0.211915 | − | 0.0713189i | ||||
\(709\) | 16.6662 | − | 13.9846i | 0.625911 | − | 0.525202i | −0.273744 | − | 0.961802i | \(-0.588262\pi\) |
0.899655 | + | 0.436601i | \(0.143818\pi\) | |||||||
\(710\) | 6.76911 | − | 11.7244i | 0.254040 | − | 0.440010i | ||||
\(711\) | 35.7636 | − | 33.1165i | 1.34124 | − | 1.24197i | ||||
\(712\) | 1.65052 | + | 2.85878i | 0.0618557 | + | 0.107137i | ||||
\(713\) | −18.3808 | + | 15.4233i | −0.688367 | + | 0.577609i | ||||
\(714\) | 32.9460 | − | 9.38114i | 1.23297 | − | 0.351080i | ||||
\(715\) | −11.4561 | + | 64.9707i | −0.428433 | + | 2.42976i | ||||
\(716\) | 8.42906 | + | 7.07282i | 0.315009 | + | 0.264324i | ||||
\(717\) | −30.7552 | − | 24.5519i | −1.14858 | − | 0.916909i | ||||
\(718\) | −15.6004 | − | 5.67810i | −0.582203 | − | 0.211905i | ||||
\(719\) | −5.30431 | − | 9.18734i | −0.197817 | − | 0.342630i | 0.750003 | − | 0.661434i | \(-0.230052\pi\) |
−0.947820 | + | 0.318805i | \(0.896719\pi\) | |||||||
\(720\) | 11.8085 | − | 0.577364i | 0.440076 | − | 0.0215171i | ||||
\(721\) | −8.97659 | − | 19.7025i | −0.334306 | − | 0.733760i | ||||
\(722\) | −17.7026 | − | 6.44322i | −0.658823 | − | 0.239792i | ||||
\(723\) | 2.52093 | + | 0.848406i | 0.0937544 | + | 0.0315526i | ||||
\(724\) | −0.174316 | + | 0.988595i | −0.00647840 | + | 0.0367408i | ||||
\(725\) | −9.13740 | − | 7.66719i | −0.339355 | − | 0.284752i | ||||
\(726\) | 0.586875 | − | 1.07639i | 0.0217810 | − | 0.0399484i | ||||
\(727\) | −2.40713 | − | 13.6515i | −0.0892755 | − | 0.506306i | −0.996352 | − | 0.0853404i | \(-0.972802\pi\) |
0.907076 | − | 0.420966i | \(-0.138309\pi\) | |||||||
\(728\) | 5.36683 | + | 11.7795i | 0.198908 | + | 0.436579i | ||||
\(729\) | 26.7105 | − | 3.94312i | 0.989278 | − | 0.146041i | ||||
\(730\) | −4.33321 | + | 7.50533i | −0.160379 | + | 0.277785i | ||||
\(731\) | 22.6989 | − | 19.0466i | 0.839550 | − | 0.704466i | ||||
\(732\) | −9.30904 | − | 15.2509i | −0.344072 | − | 0.563689i | ||||
\(733\) | −3.36988 | + | 19.1115i | −0.124469 | + | 0.705901i | 0.857152 | + | 0.515063i | \(0.172232\pi\) |
−0.981622 | + | 0.190838i | \(0.938880\pi\) | |||||||
\(734\) | −7.18380 | − | 6.02793i | −0.265159 | − | 0.222495i | ||||
\(735\) | −41.5399 | − | 23.6093i | −1.53222 | − | 0.870841i | ||||
\(736\) | 4.38278 | + | 1.59520i | 0.161551 | + | 0.0587999i | ||||
\(737\) | 7.27732 | 0.268064 | ||||||||
\(738\) | 4.90149 | + | 7.60586i | 0.180426 | + | 0.279976i | ||||
\(739\) | 39.3044 | 1.44584 | 0.722918 | − | 0.690934i | \(-0.242801\pi\) | ||||
0.722918 | + | 0.690934i | \(0.242801\pi\) | |||||||
\(740\) | −2.18489 | − | 12.3911i | −0.0803182 | − | 0.455507i | ||||
\(741\) | 3.16865 | − | 1.24176i | 0.116403 | − | 0.0456170i | ||||
\(742\) | 28.0067 | − | 7.24007i | 1.02816 | − | 0.265791i | ||||
\(743\) | −1.64288 | + | 9.31724i | −0.0602715 | + | 0.341816i | −1.00000 | 0.000104995i | \(-0.999967\pi\) | |
0.939729 | + | 0.341921i | \(0.111078\pi\) | |||||||
\(744\) | −8.29631 | + | 3.25122i | −0.304157 | + | 0.119196i | ||||
\(745\) | 60.4435 | + | 21.9996i | 2.21448 | + | 0.806005i | ||||
\(746\) | 26.3686 | 0.965424 | ||||||||
\(747\) | 3.11185 | + | 0.963327i | 0.113857 | + | 0.0352463i | ||||
\(748\) | 12.7888 | + | 22.1509i | 0.467605 | + | 0.809916i | ||||
\(749\) | 34.1639 | + | 16.2995i | 1.24832 | + | 0.595571i | ||||
\(750\) | 35.7772 | + | 12.0406i | 1.30640 | + | 0.439662i | ||||
\(751\) | 8.38650 | − | 3.05244i | 0.306028 | − | 0.111385i | −0.184441 | − | 0.982843i | \(-0.559048\pi\) |
0.490469 | + | 0.871459i | \(0.336825\pi\) | |||||||
\(752\) | 0.854241 | + | 0.716794i | 0.0311510 | + | 0.0261388i | ||||
\(753\) | −7.19308 | + | 13.1928i | −0.262130 | + | 0.480773i | ||||
\(754\) | 5.20772 | + | 1.89546i | 0.189654 | + | 0.0690284i | ||||
\(755\) | 43.4842 | 1.58255 | ||||||||
\(756\) | 7.14362 | − | 11.7460i | 0.259811 | − | 0.427198i | ||||
\(757\) | −46.7158 | −1.69791 | −0.848957 | − | 0.528462i | \(-0.822769\pi\) | ||||
−0.848957 | + | 0.528462i | \(0.822769\pi\) | |||||||
\(758\) | 20.5214 | + | 7.46919i | 0.745372 | + | 0.271293i | ||||
\(759\) | 27.6333 | − | 0.675149i | 1.00303 | − | 0.0245064i | ||||
\(760\) | −1.21240 | − | 1.01732i | −0.0439783 | − | 0.0369022i | ||||
\(761\) | −4.28236 | + | 1.55865i | −0.155235 | + | 0.0565010i | −0.418469 | − | 0.908231i | \(-0.637433\pi\) |
0.263234 | + | 0.964732i | \(0.415211\pi\) | |||||||
\(762\) | 1.76936 | − | 1.55988i | 0.0640971 | − | 0.0565084i | ||||
\(763\) | −20.3940 | + | 14.0134i | −0.738311 | + | 0.507319i | ||||
\(764\) | 0.768708 | + | 1.33144i | 0.0278109 | + | 0.0481699i | ||||
\(765\) | −11.0777 | + | 87.6789i | −0.400514 | + | 3.17004i | ||||
\(766\) | 38.6191 | 1.39536 | ||||||||
\(767\) | 15.7921 | + | 5.74784i | 0.570219 | + | 0.207543i | ||||
\(768\) | 1.35363 | + | 1.08060i | 0.0488448 | + | 0.0389928i | ||||
\(769\) | 4.65375 | − | 26.3927i | 0.167818 | − | 0.951745i | −0.778292 | − | 0.627902i | \(-0.783914\pi\) |
0.946111 | − | 0.323843i | \(-0.104975\pi\) | |||||||
\(770\) | 9.53745 | − | 34.3777i | 0.343706 | − | 1.23889i | ||||
\(771\) | 2.92569 | − | 19.3443i | 0.105366 | − | 0.696669i | ||||
\(772\) | 3.15080 | + | 17.8691i | 0.113400 | + | 0.643122i | ||||
\(773\) | −7.09931 | −0.255345 | −0.127672 | − | 0.991816i | \(-0.540751\pi\) | ||||
−0.127672 | + | 0.991816i | \(0.540751\pi\) | |||||||
\(774\) | 1.49061 | − | 11.7981i | 0.0535790 | − | 0.424073i | ||||
\(775\) | −54.1740 | −1.94599 | ||||||||
\(776\) | −12.8225 | − | 4.66700i | −0.460300 | − | 0.167536i | ||||
\(777\) | −13.3552 | − | 5.97577i | −0.479115 | − | 0.214379i | ||||
\(778\) | 13.3249 | + | 11.1809i | 0.477719 | + | 0.400854i | ||||
\(779\) | 0.210340 | − | 1.19290i | 0.00753621 | − | 0.0427399i | ||||
\(780\) | −33.3856 | + | 0.815691i | −1.19540 | + | 0.0292064i | ||||
\(781\) | 9.00456 | − | 7.55573i | 0.322209 | − | 0.270365i | ||||
\(782\) | −17.4323 | + | 30.1937i | −0.623379 | + | 1.07972i | ||||
\(783\) | −1.44372 | − | 5.70601i | −0.0515942 | − | 0.203916i | ||||
\(784\) | −2.27766 | − | 6.61908i | −0.0813451 | − | 0.236396i | ||||
\(785\) | −9.24516 | − | 52.4319i | −0.329974 | − | 1.87138i | ||||
\(786\) | 31.0582 | − | 0.758828i | 1.10781 | − | 0.0270665i | ||||
\(787\) | −17.8834 | − | 15.0059i | −0.637473 | − | 0.534904i | 0.265768 | − | 0.964037i | \(-0.414375\pi\) |
−0.903241 | + | 0.429133i | \(0.858819\pi\) | |||||||
\(788\) | 2.09873 | − | 11.9025i | 0.0747640 | − | 0.424008i | ||||
\(789\) | −10.6865 | + | 9.42133i | −0.380451 | + | 0.335408i | ||||
\(790\) | 60.1665 | + | 21.8988i | 2.14063 | + | 0.779125i | ||||
\(791\) | −8.64213 | + | 12.1133i | −0.307279 | + | 0.430699i | ||||
\(792\) | 9.80590 | + | 3.03558i | 0.348437 | + | 0.107865i | ||||
\(793\) | 25.2354 | + | 43.7090i | 0.896136 | + | 1.55215i | ||||
\(794\) | −25.0249 | − | 9.10833i | −0.888102 | − | 0.323243i | ||||
\(795\) | −11.1603 | + | 73.7906i | −0.395815 | + | 2.61708i | ||||
\(796\) | 0.731131 | + | 0.613491i | 0.0259142 | + | 0.0217446i | ||||
\(797\) | 3.31354 | − | 18.7920i | 0.117372 | − | 0.665648i | −0.868177 | − | 0.496255i | \(-0.834708\pi\) |
0.985549 | − | 0.169393i | \(-0.0541807\pi\) | |||||||
\(798\) | −1.77003 | + | 0.504004i | −0.0626585 | + | 0.0178415i | ||||
\(799\) | −6.38561 | + | 5.35817i | −0.225907 | + | 0.189558i | ||||
\(800\) | 5.26518 | + | 9.11957i | 0.186152 | + | 0.322425i | ||||
\(801\) | −4.52681 | + | 8.80791i | −0.159947 | + | 0.311212i | ||||
\(802\) | 10.1349 | − | 17.5542i | 0.357876 | − | 0.619859i | ||||
\(803\) | −5.76422 | + | 4.83675i | −0.203415 | + | 0.170685i | ||||
\(804\) | 0.728102 | + | 3.61111i | 0.0256782 | + | 0.127354i | ||||
\(805\) | 47.0822 | − | 12.1713i | 1.65943 | − | 0.428982i | ||||
\(806\) | 23.6521 | − | 8.60867i | 0.833110 | − | 0.303227i | ||||
\(807\) | 22.9248 | − | 42.0463i | 0.806990 | − | 1.48010i | ||||
\(808\) | −0.999192 | + | 0.838422i | −0.0351515 | + | 0.0294956i | ||||
\(809\) | 6.30348 | + | 10.9179i | 0.221619 | + | 0.383855i | 0.955300 | − | 0.295639i | \(-0.0955327\pi\) |
−0.733681 | + | 0.679494i | \(0.762199\pi\) | |||||||
\(810\) | 20.6458 | + | 28.8394i | 0.725418 | + | 1.01331i | ||||
\(811\) | −28.3161 | −0.994311 | −0.497156 | − | 0.867661i | \(-0.665622\pi\) | ||||
−0.497156 | + | 0.867661i | \(0.665622\pi\) | |||||||
\(812\) | −2.70484 | − | 1.29047i | −0.0949214 | − | 0.0452867i | ||||
\(813\) | −28.9175 | + | 0.706525i | −1.01418 | + | 0.0247789i | ||||
\(814\) | 1.89704 | − | 10.7587i | 0.0664913 | − | 0.377091i | ||||
\(815\) | 2.84985 | − | 16.1623i | 0.0998260 | − | 0.566141i | ||||
\(816\) | −9.71205 | + | 8.56220i | −0.339990 | + | 0.299737i | ||||
\(817\) | −1.21950 | + | 1.02329i | −0.0426651 | + | 0.0358002i | ||||
\(818\) | −0.310122 | − | 0.537148i | −0.0108432 | − | 0.0187809i | ||||
\(819\) | −20.9832 | + | 32.6765i | −0.733211 | + | 1.14181i | ||||
\(820\) | −5.94308 | + | 10.2937i | −0.207541 | + | 0.359472i | ||||
\(821\) | 2.09357 | + | 11.8732i | 0.0730660 | + | 0.414378i | 0.999299 | + | 0.0374272i | \(0.0119162\pi\) |
−0.926233 | + | 0.376951i | \(0.876973\pi\) | |||||||
\(822\) | 16.5745 | + | 13.2314i | 0.578101 | + | 0.461499i | ||||
\(823\) | 13.1414 | − | 4.78306i | 0.458079 | − | 0.166727i | −0.102666 | − | 0.994716i | \(-0.532737\pi\) |
0.560745 | + | 0.827989i | \(0.310515\pi\) | |||||||
\(824\) | 6.26879 | + | 5.26014i | 0.218384 | + | 0.183246i | ||||
\(825\) | 48.7731 | + | 38.9356i | 1.69806 | + | 1.35556i | ||||
\(826\) | −8.20225 | − | 3.91327i | −0.285393 | − | 0.136160i | ||||
\(827\) | −5.96830 | + | 10.3374i | −0.207538 | + | 0.359467i | −0.950938 | − | 0.309380i | \(-0.899878\pi\) |
0.743400 | + | 0.668847i | \(0.233212\pi\) | |||||||
\(828\) | 3.09975 | + | 13.6445i | 0.107724 | + | 0.474179i | ||||
\(829\) | 2.25857 | − | 3.91197i | 0.0784435 | − | 0.135868i | −0.824135 | − | 0.566393i | \(-0.808338\pi\) |
0.902579 | + | 0.430525i | \(0.141672\pi\) | |||||||
\(830\) | 0.743072 | + | 4.21417i | 0.0257924 | + | 0.146276i | ||||
\(831\) | 33.4315 | − | 29.4735i | 1.15973 | − | 1.02242i | ||||
\(832\) | −3.74792 | − | 3.14488i | −0.129936 | − | 0.109029i | ||||
\(833\) | 51.6837 | − | 8.17538i | 1.79073 | − | 0.283260i | ||||
\(834\) | 5.03687 | + | 8.25185i | 0.174413 | + | 0.285738i | ||||
\(835\) | −58.2984 | − | 21.2189i | −2.01750 | − | 0.734310i | ||||
\(836\) | −0.687082 | − | 1.19006i | −0.0237632 | − | 0.0411591i | ||||
\(837\) | −21.6809 | − | 15.6375i | −0.749402 | − | 0.540510i | ||||
\(838\) | 3.86533 | − | 6.69495i | 0.133526 | − | 0.231273i | ||||
\(839\) | −1.41516 | − | 8.02576i | −0.0488567 | − | 0.277080i | 0.950586 | − | 0.310461i | \(-0.100484\pi\) |
−0.999443 | + | 0.0333813i | \(0.989372\pi\) | |||||||
\(840\) | 18.0129 | + | 1.29311i | 0.621505 | + | 0.0446164i | ||||
\(841\) | 26.0454 | − | 9.47975i | 0.898117 | − | 0.326888i | ||||
\(842\) | −0.425317 | + | 0.154803i | −0.0146574 | + | 0.00533486i | ||||
\(843\) | 3.28417 | + | 1.10527i | 0.113113 | + | 0.0380676i | ||||
\(844\) | −2.74741 | − | 15.5813i | −0.0945697 | − | 0.536331i | ||||
\(845\) | 43.1020 | 1.48276 | ||||||||
\(846\) | −0.419336 | + | 3.31901i | −0.0144171 | + | 0.114110i | ||||
\(847\) | 1.08764 | − | 1.52450i | 0.0373719 | − | 0.0523824i | ||||
\(848\) | −8.37557 | + | 7.02794i | −0.287618 | + | 0.241340i | ||||
\(849\) | 36.0754 | + | 28.7991i | 1.23811 | + | 0.988381i | ||||
\(850\) | −73.9693 | + | 26.9226i | −2.53713 | + | 0.923438i | ||||
\(851\) | 13.9932 | − | 5.09313i | 0.479682 | − | 0.174590i | ||||
\(852\) | 4.65017 | + | 3.71224i | 0.159312 | + | 0.127179i | ||||
\(853\) | −26.4820 | + | 22.2210i | −0.906725 | + | 0.760833i | −0.971493 | − | 0.237067i | \(-0.923814\pi\) |
0.0647678 | + | 0.997900i | \(0.479369\pi\) | |||||||
\(854\) | −11.3158 | − | 24.8368i | −0.387218 | − | 0.849897i | ||||
\(855\) | 0.595151 | − | 4.71057i | 0.0203537 | − | 0.161098i | ||||
\(856\) | −14.3071 | −0.489006 | ||||||||
\(857\) | −5.80775 | − | 32.9374i | −0.198389 | − | 1.12512i | −0.907509 | − | 0.420033i | \(-0.862019\pi\) |
0.709120 | − | 0.705088i | \(-0.249092\pi\) | |||||||
\(858\) | −27.4813 | − | 9.24868i | −0.938195 | − | 0.315745i | ||||
\(859\) | −34.3394 | + | 12.4985i | −1.17164 | + | 0.426444i | −0.853244 | − | 0.521512i | \(-0.825368\pi\) |
−0.318401 | + | 0.947956i | \(0.603146\pi\) | |||||||
\(860\) | 14.6793 | − | 5.34283i | 0.500560 | − | 0.182189i | ||||
\(861\) | 6.03601 | + | 12.4340i | 0.205707 | + | 0.423751i | ||||
\(862\) | −6.41157 | − | 36.3618i | −0.218379 | − | 1.23849i | ||||
\(863\) | 16.3210 | − | 28.2688i | 0.555574 | − | 0.962282i | −0.442285 | − | 0.896875i | \(-0.645832\pi\) |
0.997859 | − | 0.0654076i | \(-0.0208348\pi\) | |||||||
\(864\) | −0.525213 | + | 5.16954i | −0.0178681 | + | 0.175871i | ||||
\(865\) | 47.2018 | + | 81.7560i | 1.60491 | + | 2.77979i | ||||
\(866\) | −34.4603 | − | 12.5425i | −1.17101 | − | 0.426212i | ||||
\(867\) | −35.0841 | − | 57.4778i | −1.19152 | − | 1.95205i | ||||
\(868\) | −13.1780 | + | 3.40666i | −0.447290 | + | 0.115630i | ||||
\(869\) | 42.5863 | + | 35.7342i | 1.44464 | + | 1.21220i | ||||
\(870\) | 5.79969 | − | 5.11304i | 0.196628 | − | 0.173348i | ||||
\(871\) | −1.80693 | − | 10.2476i | −0.0612254 | − | 0.347227i | ||||
\(872\) | 4.67627 | − | 8.09953i | 0.158358 | − | 0.274285i | ||||
\(873\) | −9.06879 | − | 39.9190i | −0.306932 | − | 1.35105i | ||||
\(874\) | 0.936557 | − | 1.62216i | 0.0316795 | − | 0.0548705i | ||||
\(875\) | 52.0429 | + | 24.8295i | 1.75937 | + | 0.839392i | ||||
\(876\) | −2.97678 | − | 2.37637i | −0.100576 | − | 0.0802900i | ||||
\(877\) | −36.5767 | − | 30.6915i | −1.23511 | − | 1.03638i | −0.997890 | − | 0.0649210i | \(-0.979320\pi\) |
−0.237217 | − | 0.971457i | \(-0.576235\pi\) | |||||||
\(878\) | 20.8189 | − | 7.57745i | 0.702603 | − | 0.255727i | ||||
\(879\) | −28.8351 | − | 23.0191i | −0.972584 | − | 0.776415i | ||||
\(880\) | 2.34153 | + | 13.2795i | 0.0789329 | + | 0.447650i | ||||
\(881\) | 22.9571 | − | 39.7629i | 0.773445 | − | 1.33965i | −0.162220 | − | 0.986755i | \(-0.551865\pi\) |
0.935665 | − | 0.352891i | \(-0.114801\pi\) | |||||||
\(882\) | 12.9901 | − | 16.5002i | 0.437399 | − | 0.555592i | ||||
\(883\) | −2.48770 | − | 4.30882i | −0.0837178 | − | 0.145003i | 0.821126 | − | 0.570747i | \(-0.193346\pi\) |
−0.904844 | + | 0.425743i | \(0.860013\pi\) | |||||||
\(884\) | 28.0164 | − | 23.5086i | 0.942295 | − | 0.790679i | ||||
\(885\) | 17.5872 | − | 15.5050i | 0.591186 | − | 0.521194i | ||||
\(886\) | 4.65340 | − | 26.3907i | 0.156334 | − | 0.886614i | ||||
\(887\) | 2.50163 | − | 14.1874i | 0.0839964 | − | 0.476367i | −0.913572 | − | 0.406676i | \(-0.866688\pi\) |
0.997569 | − | 0.0696907i | \(-0.0222012\pi\) | |||||||
\(888\) | 5.52841 | − | 0.135073i | 0.185521 | − | 0.00453274i | ||||
\(889\) | 2.96961 | − | 2.04052i | 0.0995974 | − | 0.0684369i | ||||
\(890\) | −13.0089 | −0.436059 | ||||||||
\(891\) | 8.28056 | + | 29.6608i | 0.277409 | + | 0.993676i | ||||
\(892\) | −6.24392 | − | 10.8148i | −0.209062 | − | 0.362106i | ||||
\(893\) | 0.343069 | − | 0.287869i | 0.0114804 | − | 0.00963316i | ||||
\(894\) | −13.5330 | + | 24.8209i | −0.452612 | + | 0.830136i | ||||
\(895\) | −40.7476 | + | 14.8309i | −1.36204 | + | 0.495743i | ||||
\(896\) | 1.85424 | + | 1.88727i | 0.0619460 | + | 0.0630492i | ||||
\(897\) | −7.81194 | − | 38.7443i | −0.260833 | − | 1.29364i | ||||
\(898\) | −6.26651 | + | 5.25823i | −0.209116 | + | 0.175469i | ||||
\(899\) | −2.91369 | + | 5.04665i | −0.0971768 | + | 0.168315i | ||||
\(900\) | −14.4406 | + | 28.0974i | −0.481354 | + | 0.936581i | ||||
\(901\) | −40.8651 | − | 70.7804i | −1.36141 | − | 2.35804i | ||||
\(902\) | −7.90575 | + | 6.63371i | −0.263233 | + | 0.220878i | ||||
\(903\) | 4.42717 | − | 17.6174i | 0.147327 | − | 0.586270i | ||||
\(904\) | 0.976624 | − | 5.53871i | 0.0324820 | − | 0.184215i | ||||
\(905\) | −3.03048 | − | 2.54288i | −0.100737 | − | 0.0845281i | ||||
\(906\) | −2.85802 | + | 18.8969i | −0.0949513 | + | 0.627806i | ||||
\(907\) | 13.1176 | + | 4.77441i | 0.435562 | + | 0.158532i | 0.550489 | − | 0.834842i | \(-0.314441\pi\) |
−0.114927 | + | 0.993374i | \(0.536663\pi\) | |||||||
\(908\) | −11.3126 | − | 19.5940i | −0.375423 | − | 0.650251i | ||||
\(909\) | −3.73804 | − | 1.15718i | −0.123983 | − | 0.0383811i | ||||
\(910\) | −50.7772 | − | 4.89437i | −1.68325 | − | 0.162247i | ||||
\(911\) | 6.67210 | + | 2.42845i | 0.221057 | + | 0.0804580i | 0.450174 | − | 0.892941i | \(-0.351362\pi\) |
−0.229118 | + | 0.973399i | \(0.573584\pi\) | |||||||
\(912\) | 0.521782 | − | 0.460006i | 0.0172779 | − | 0.0152323i | ||||
\(913\) | −0.645176 | + | 3.65897i | −0.0213522 | + | 0.121094i | ||||
\(914\) | 1.42100 | + | 1.19236i | 0.0470025 | + | 0.0394398i | ||||
\(915\) | 70.3923 | − | 1.71986i | 2.32710 | − | 0.0568567i | ||||
\(916\) | −2.28925 | − | 12.9830i | −0.0756388 | − | 0.428969i | ||||
\(917\) | 47.2374 | + | 4.55318i | 1.55992 | + | 0.150359i | ||||
\(918\) | −37.3744 | − | 10.5768i | −1.23354 | − | 0.349085i | ||||
\(919\) | −26.5199 | + | 45.9338i | −0.874811 | + | 1.51522i | −0.0178467 | + | 0.999841i | \(0.505681\pi\) |
−0.856964 | + | 0.515376i | \(0.827652\pi\) | |||||||
\(920\) | −14.0802 | + | 11.8147i | −0.464210 | + | 0.389519i | ||||
\(921\) | −22.7237 | + | 0.555195i | −0.748771 | + | 0.0182943i | ||||
\(922\) | −5.89233 | + | 33.4171i | −0.194054 | + | 1.10053i | ||||
\(923\) | −12.8754 | − | 10.8038i | −0.423800 | − | 0.355610i | ||||
\(924\) | 14.3126 | + | 6.40417i | 0.470850 | + | 0.210682i | ||||
\(925\) | 31.5935 | + | 11.4991i | 1.03879 | + | 0.378088i | ||||
\(926\) | 1.48972 | 0.0489552 | ||||||||
\(927\) | −3.07727 | + | 24.3564i | −0.101071 | + | 0.799968i | ||||
\(928\) | 1.13273 | 0.0371836 | ||||||||
\(929\) | −1.41364 | − | 8.01714i | −0.0463800 | − | 0.263034i | 0.952797 | − | 0.303610i | \(-0.0981919\pi\) |
−0.999176 | + | 0.0405758i | \(0.987081\pi\) | |||||||
\(930\) | 5.25125 | − | 34.7206i | 0.172195 | − | 1.13853i | ||||
\(931\) | −2.77672 | + | 0.439224i | −0.0910033 | + | 0.0143950i | ||||
\(932\) | −2.17451 | + | 12.3323i | −0.0712286 | + | 0.403957i | ||||
\(933\) | −31.8727 | − | 25.4440i | −1.04346 | − | 0.832999i | ||||
\(934\) | −22.5364 | − | 8.20257i | −0.737413 | − | 0.268396i | ||||
\(935\) | −100.798 | −3.29644 | ||||||||
\(936\) | 1.83981 | − | 14.5619i | 0.0601360 | − | 0.475972i | ||||
\(937\) | 10.4893 | + | 18.1680i | 0.342670 | + | 0.593522i | 0.984928 | − | 0.172967i | \(-0.0553354\pi\) |
−0.642258 | + | 0.766489i | \(0.722002\pi\) | |||||||
\(938\) | 0.440938 | + | 5.60977i | 0.0143971 | + | 0.183166i | ||||
\(939\) | 3.74246 | − | 3.29937i | 0.122130 | − | 0.107671i | ||||
\(940\) | −4.12956 | + | 1.50304i | −0.134691 | + | 0.0490236i | ||||
\(941\) | 40.6165 | + | 34.0813i | 1.32406 | + | 1.11102i | 0.985427 | + | 0.170099i | \(0.0544087\pi\) |
0.338632 | + | 0.940919i | \(0.390036\pi\) | |||||||
\(942\) | 23.3929 | − | 0.571546i | 0.762183 | − | 0.0186220i | ||||
\(943\) | −13.2191 | − | 4.81134i | −0.430472 | − | 0.156679i | ||||
\(944\) | 3.43492 | 0.111797 | ||||||||
\(945\) | 26.0118 | + | 47.5250i | 0.846163 | + | 1.54599i | ||||
\(946\) | 13.5634 | 0.440983 | ||||||||
\(947\) | −10.3158 | − | 3.75466i | −0.335220 | − | 0.122010i | 0.168926 | − | 0.985629i | \(-0.445970\pi\) |
−0.504145 | + | 0.863619i | \(0.668192\pi\) | |||||||
\(948\) | −13.4710 | + | 24.7072i | −0.437518 | + | 0.802452i | ||||
\(949\) | 8.24213 | + | 6.91597i | 0.267551 | + | 0.224502i | ||||
\(950\) | 3.97402 | − | 1.44642i | 0.128934 | − | 0.0469282i | ||||
\(951\) | 1.64272 | + | 0.552850i | 0.0532690 | + | 0.0179274i | ||||
\(952\) | −16.3003 | + | 11.2005i | −0.528294 | + | 0.363009i | ||||
\(953\) | 1.34851 | + | 2.33569i | 0.0436825 | + | 0.0756603i | 0.887040 | − | 0.461693i | \(-0.152758\pi\) |
−0.843358 | + | 0.537353i | \(0.819424\pi\) | |||||||
\(954\) | −31.3336 | − | 9.69984i | −1.01446 | − | 0.314044i | ||||
\(955\) | −6.05874 | −0.196056 | ||||||||
\(956\) | 21.3504 | + | 7.77092i | 0.690522 | + | 0.251329i | ||||
\(957\) | 6.25030 | − | 2.44941i | 0.202043 | − | 0.0791783i | ||||
\(958\) | −2.17803 | + | 12.3522i | −0.0703690 | + | 0.399082i | ||||
\(959\) | 22.7043 | + | 23.1086i | 0.733160 | + | 0.746217i | ||||
\(960\) | −6.35519 | + | 2.49052i | −0.205113 | + | 0.0803812i | ||||
\(961\) | −0.787252 | − | 4.46473i | −0.0253952 | − | 0.144024i | ||||
\(962\) | −15.6209 | −0.503638 | ||||||||
\(963\) | −23.2503 | − | 36.0785i | −0.749230 | − | 1.16261i | ||||
\(964\) | −1.53567 | −0.0494607 | ||||||||
\(965\) | −67.1935 | − | 24.4564i | −2.16304 | − | 0.787281i | ||||
\(966\) | 2.19477 | + | 21.2604i | 0.0706154 | + | 0.684042i | ||||
\(967\) | 12.4689 | + | 10.4626i | 0.400972 | + | 0.336456i | 0.820869 | − | 0.571116i | \(-0.193489\pi\) |
−0.419897 | + | 0.907572i | \(0.637934\pi\) | |||||||
\(968\) | −0.122912 | + | 0.697067i | −0.00395053 | + | 0.0224046i | ||||
\(969\) | 2.70909 | + | 4.43827i | 0.0870286 | + | 0.142578i | ||||
\(970\) | 41.1937 | − | 34.5656i | 1.32265 | − | 1.10984i | ||||
\(971\) | −10.8061 | + | 18.7167i | −0.346783 | + | 0.600646i | −0.985676 | − | 0.168650i | \(-0.946059\pi\) |
0.638893 | + | 0.769296i | \(0.279393\pi\) | |||||||
\(972\) | −13.8897 | + | 7.07652i | −0.445511 | + | 0.226980i | ||||
\(973\) | 6.12267 | + | 13.4385i | 0.196284 | + | 0.430819i | ||||
\(974\) | −2.93367 | − | 16.6377i | −0.0940008 | − | 0.533105i | ||||
\(975\) | 42.7172 | − | 78.3476i | 1.36804 | − | 2.50913i | ||||
\(976\) | 7.90237 | + | 6.63088i | 0.252949 | + | 0.212249i | ||||
\(977\) | −4.65609 | + | 26.4060i | −0.148961 | + | 0.844802i | 0.815139 | + | 0.579265i | \(0.196660\pi\) |
−0.964101 | + | 0.265537i | \(0.914451\pi\) | |||||||
\(978\) | 6.83633 | + | 2.30073i | 0.218602 | + | 0.0735693i | ||||
\(979\) | −10.6139 | − | 3.86313i | −0.339221 | − | 0.123466i | ||||
\(980\) | 27.0781 | + | 5.26903i | 0.864979 | + | 0.168313i | ||||
\(981\) | 28.0241 | − | 1.37021i | 0.894741 | − | 0.0437476i | ||||
\(982\) | −0.975342 | − | 1.68934i | −0.0311244 | − | 0.0539091i | ||||
\(983\) | 4.04741 | + | 1.47314i | 0.129092 | + | 0.0469858i | 0.405759 | − | 0.913980i | \(-0.367007\pi\) |
−0.276666 | + | 0.960966i | \(0.589230\pi\) | |||||||
\(984\) | −4.08272 | − | 3.25924i | −0.130152 | − | 0.103901i | ||||
\(985\) | 36.4863 | + | 30.6157i | 1.16255 | + | 0.975496i | ||||
\(986\) | −1.47034 | + | 8.33871i | −0.0468251 | + | 0.265559i | ||||
\(987\) | −1.24544 | + | 4.95609i | −0.0396429 | + | 0.157754i | ||||
\(988\) | −1.50519 | + | 1.26300i | −0.0478865 | + | 0.0401815i | ||||
\(989\) | 9.24406 | + | 16.0112i | 0.293944 | + | 0.509126i | ||||
\(990\) | −29.6819 | + | 27.4850i | −0.943353 | + | 0.873530i | ||||
\(991\) | −21.2812 | + | 36.8602i | −0.676020 | + | 1.17090i | 0.300149 | + | 0.953892i | \(0.402964\pi\) |
−0.976170 | + | 0.217009i | \(0.930370\pi\) | |||||||
\(992\) | 3.94095 | − | 3.30685i | 0.125125 | − | 0.104993i | ||||
\(993\) | 12.1417 | + | 4.08624i | 0.385306 | + | 0.129673i | ||||
\(994\) | 6.36997 | + | 6.48342i | 0.202043 | + | 0.205642i | ||||
\(995\) | −3.53442 | + | 1.28642i | −0.112049 | + | 0.0407823i | ||||
\(996\) | −1.88019 | + | 0.0459376i | −0.0595760 | + | 0.00145559i | ||||
\(997\) | −20.8192 | + | 17.4694i | −0.659350 | + | 0.553260i | −0.909892 | − | 0.414845i | \(-0.863836\pi\) |
0.250542 | + | 0.968106i | \(0.419391\pi\) | |||||||
\(998\) | −2.00744 | − | 3.47699i | −0.0635444 | − | 0.110062i | ||||
\(999\) | 9.32477 | + | 13.7216i | 0.295023 | + | 0.434132i |
(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 | 378.2.w.b.121.5 | yes | 72 | |
7.4 | even | 3 | 378.2.v.a.67.5 | ✓ | 72 | ||
27.25 | even | 9 | 378.2.v.a.79.5 | yes | 72 | ||
189.25 | even | 9 | inner | 378.2.w.b.25.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.a.67.5 | ✓ | 72 | 7.4 | even | 3 | ||
378.2.v.a.79.5 | yes | 72 | 27.25 | even | 9 | ||
378.2.w.b.25.5 | yes | 72 | 189.25 | even | 9 | inner | |
378.2.w.b.121.5 | yes | 72 | 1.1 | even | 1 | trivial |