Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.18 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.700689 | − | 3.93815i | −0.175172 | − | 0.984538i | ||||
\(3\) | −14.2932 | + | 2.52028i | −1.58813 | + | 0.280031i | −0.896777 | − | 0.442482i | \(-0.854098\pi\) |
−0.691357 | + | 0.722513i | \(0.742987\pi\) | |||||||
\(4\) | −15.0181 | + | 5.51884i | −0.938629 | + | 0.344928i | ||||
\(5\) | −7.84979 | + | 6.58676i | −0.313992 | + | 0.263470i | −0.786140 | − | 0.618049i | \(-0.787923\pi\) |
0.472148 | + | 0.881519i | \(0.343479\pi\) | |||||||
\(6\) | 19.9403 | + | 54.5229i | 0.553898 | + | 1.51452i | ||||
\(7\) | −31.3486 | − | 18.0991i | −0.639767 | − | 0.369370i | 0.144758 | − | 0.989467i | \(-0.453760\pi\) |
−0.784525 | + | 0.620097i | \(0.787093\pi\) | |||||||
\(8\) | 32.2570 | + | 55.2764i | 0.504016 | + | 0.863694i | ||||
\(9\) | 121.829 | − | 44.3421i | 1.50406 | − | 0.547433i | ||||
\(10\) | 31.4399 | + | 26.2984i | 0.314399 | + | 0.262984i | ||||
\(11\) | −20.6766 | + | 11.9376i | −0.170881 | + | 0.0986582i | −0.583001 | − | 0.812471i | \(-0.698122\pi\) |
0.412120 | + | 0.911129i | \(0.364788\pi\) | |||||||
\(12\) | 200.747 | − | 116.732i | 1.39408 | − | 0.810637i | ||||
\(13\) | 26.5442 | − | 150.540i | 0.157066 | − | 0.890767i | −0.799806 | − | 0.600258i | \(-0.795064\pi\) |
0.956872 | − | 0.290509i | \(-0.0938245\pi\) | |||||||
\(14\) | −49.3114 | + | 136.137i | −0.251589 | + | 0.694578i | ||||
\(15\) | 95.5983 | − | 113.930i | 0.424881 | − | 0.506354i | ||||
\(16\) | 195.085 | − | 165.765i | 0.762050 | − | 0.647518i | ||||
\(17\) | 423.362 | + | 154.091i | 1.46492 | + | 0.533188i | 0.946716 | − | 0.322068i | \(-0.104378\pi\) |
0.518205 | + | 0.855256i | \(0.326600\pi\) | |||||||
\(18\) | −259.990 | − | 448.711i | −0.802439 | − | 1.38491i | ||||
\(19\) | −360.952 | + | 5.91712i | −0.999866 | + | 0.0163909i | ||||
\(20\) | 81.5374 | − | 142.242i | 0.203844 | − | 0.355605i | ||||
\(21\) | 493.687 | + | 179.687i | 1.11947 | + | 0.407454i | ||||
\(22\) | 61.5001 | + | 73.0630i | 0.127066 | + | 0.150957i | ||||
\(23\) | 149.973 | − | 178.731i | 0.283503 | − | 0.337866i | −0.605434 | − | 0.795896i | \(-0.707000\pi\) |
0.888937 | + | 0.458030i | \(0.151445\pi\) | |||||||
\(24\) | −600.369 | − | 708.781i | −1.04231 | − | 1.23052i | ||||
\(25\) | −90.2963 | + | 512.095i | −0.144474 | + | 0.819353i | ||||
\(26\) | −611.447 | + | 0.946457i | −0.904507 | + | 0.00140008i | ||||
\(27\) | −611.464 | + | 353.029i | −0.838771 | + | 0.484264i | ||||
\(28\) | 570.682 | + | 98.8059i | 0.727910 | + | 0.126028i | ||||
\(29\) | −242.775 | + | 88.3630i | −0.288674 | + | 0.105069i | −0.482299 | − | 0.876007i | \(-0.660198\pi\) |
0.193624 | + | 0.981076i | \(0.437976\pi\) | |||||||
\(30\) | −515.657 | − | 296.651i | −0.572952 | − | 0.329612i | ||||
\(31\) | 1237.25 | + | 714.325i | 1.28746 | + | 0.743314i | 0.978200 | − | 0.207664i | \(-0.0665861\pi\) |
0.309258 | + | 0.950978i | \(0.399919\pi\) | |||||||
\(32\) | −789.500 | − | 652.124i | −0.770996 | − | 0.636840i | ||||
\(33\) | 265.449 | − | 222.738i | 0.243755 | − | 0.204534i | ||||
\(34\) | 310.189 | − | 1775.23i | 0.268330 | − | 1.53567i | ||||
\(35\) | 365.294 | − | 64.4113i | 0.298200 | − | 0.0525806i | ||||
\(36\) | −1584.92 | + | 1338.29i | −1.22293 | + | 1.03263i | ||||
\(37\) | 1197.77 | 0.874920 | 0.437460 | − | 0.899238i | \(-0.355878\pi\) | ||||
0.437460 | + | 0.899238i | \(0.355878\pi\) | |||||||
\(38\) | 276.217 | + | 1417.34i | 0.191286 | + | 0.981534i | ||||
\(39\) | 2218.59i | 1.45864i | ||||||||
\(40\) | −617.303 | − | 221.439i | −0.385815 | − | 0.138400i | ||||
\(41\) | 175.891 | + | 997.527i | 0.104635 | + | 0.593413i | 0.991366 | + | 0.131127i | \(0.0418595\pi\) |
−0.886731 | + | 0.462286i | \(0.847029\pi\) | |||||||
\(42\) | 361.715 | − | 2070.12i | 0.205054 | − | 1.17354i | ||||
\(43\) | 1567.78 | + | 1868.41i | 0.847910 | + | 1.01050i | 0.999756 | + | 0.0220951i | \(0.00703366\pi\) |
−0.151846 | + | 0.988404i | \(0.548522\pi\) | |||||||
\(44\) | 244.641 | − | 293.391i | 0.126364 | − | 0.151545i | ||||
\(45\) | −664.261 | + | 1150.53i | −0.328030 | + | 0.568165i | ||||
\(46\) | −808.955 | − | 465.382i | −0.382304 | − | 0.219935i | ||||
\(47\) | −76.6893 | − | 210.702i | −0.0347168 | − | 0.0953835i | 0.921123 | − | 0.389271i | \(-0.127273\pi\) |
−0.955840 | + | 0.293888i | \(0.905051\pi\) | |||||||
\(48\) | −2370.61 | + | 2860.98i | −1.02891 | + | 1.24174i | ||||
\(49\) | −545.344 | − | 944.563i | −0.227132 | − | 0.393404i | ||||
\(50\) | 2079.98 | − | 3.21959i | 0.831992 | − | 0.00128784i | ||||
\(51\) | −6439.56 | − | 1135.47i | −2.47580 | − | 0.436551i | ||||
\(52\) | 432.162 | + | 2407.31i | 0.159823 | + | 0.890276i | ||||
\(53\) | −2433.90 | − | 2042.28i | −0.866464 | − | 0.727050i | 0.0968865 | − | 0.995295i | \(-0.469112\pi\) |
−0.963350 | + | 0.268246i | \(0.913556\pi\) | |||||||
\(54\) | 1818.73 | + | 2160.67i | 0.623706 | + | 0.740972i | ||||
\(55\) | 83.6767 | − | 229.900i | 0.0276617 | − | 0.0759999i | ||||
\(56\) | −10.7579 | − | 2316.66i | −0.00343046 | − | 0.738732i | ||||
\(57\) | 5144.24 | − | 994.273i | 1.58333 | − | 0.306024i | ||||
\(58\) | 518.097 | + | 894.171i | 0.154012 | + | 0.265806i | ||||
\(59\) | 1772.62 | − | 4870.25i | 0.509229 | − | 1.39909i | −0.372806 | − | 0.927909i | \(-0.621604\pi\) |
0.882035 | − | 0.471185i | \(-0.156173\pi\) | |||||||
\(60\) | −806.942 | + | 2238.59i | −0.224151 | + | 0.621832i | ||||
\(61\) | −2416.98 | − | 2028.09i | −0.649551 | − | 0.545038i | 0.257383 | − | 0.966309i | \(-0.417140\pi\) |
−0.906935 | + | 0.421271i | \(0.861584\pi\) | |||||||
\(62\) | 1946.19 | − | 5372.99i | 0.506294 | − | 1.39776i | ||||
\(63\) | −4621.72 | − | 814.934i | −1.16445 | − | 0.205325i | ||||
\(64\) | −2014.97 | + | 3566.11i | −0.491935 | + | 0.870632i | ||||
\(65\) | 783.201 | + | 1356.54i | 0.185373 | + | 0.321076i | ||||
\(66\) | −1063.17 | − | 889.308i | −0.244071 | − | 0.204157i | ||||
\(67\) | 1540.81 | + | 4233.34i | 0.343241 | + | 0.943047i | 0.984448 | + | 0.175679i | \(0.0562120\pi\) |
−0.641207 | + | 0.767368i | \(0.721566\pi\) | |||||||
\(68\) | −7208.49 | + | 22.3160i | −1.55893 | + | 0.00482613i | ||||
\(69\) | −1693.15 | + | 2932.62i | −0.355628 | + | 0.615967i | ||||
\(70\) | −509.619 | − | 1393.45i | −0.104004 | − | 0.284378i | ||||
\(71\) | −1436.32 | − | 1711.73i | −0.284927 | − | 0.339562i | 0.604530 | − | 0.796583i | \(-0.293361\pi\) |
−0.889456 | + | 0.457020i | \(0.848917\pi\) | |||||||
\(72\) | 6380.91 | + | 5303.92i | 1.23089 | + | 1.02313i | ||||
\(73\) | 239.951 | + | 1360.83i | 0.0450274 | + | 0.255363i | 0.999009 | − | 0.0445010i | \(-0.0141698\pi\) |
−0.953982 | + | 0.299864i | \(0.903059\pi\) | |||||||
\(74\) | −839.262 | − | 4716.98i | −0.153262 | − | 0.861392i | ||||
\(75\) | − | 7547.06i | − | 1.34170i | ||||||
\(76\) | 5388.14 | − | 2080.90i | 0.932850 | − | 0.360266i | ||||
\(77\) | 864.243 | 0.145765 | ||||||||
\(78\) | 8737.15 | − | 1554.54i | 1.43609 | − | 0.255514i | ||||
\(79\) | 9952.26 | − | 1754.85i | 1.59466 | − | 0.281181i | 0.695407 | − | 0.718616i | \(-0.255224\pi\) |
0.899250 | + | 0.437435i | \(0.144113\pi\) | |||||||
\(80\) | −439.523 | + | 2586.19i | −0.0686755 | + | 0.404093i | ||||
\(81\) | −194.535 | + | 163.235i | −0.0296503 | + | 0.0248795i | ||||
\(82\) | 3805.17 | − | 1391.64i | 0.565908 | − | 0.206966i | ||||
\(83\) | 9148.18 | + | 5281.70i | 1.32794 | + | 0.766686i | 0.984981 | − | 0.172664i | \(-0.0552375\pi\) |
0.342959 | + | 0.939350i | \(0.388571\pi\) | |||||||
\(84\) | −8405.89 | + | 26.0230i | −1.19131 | + | 0.00368806i | ||||
\(85\) | −4338.27 | + | 1579.00i | −0.600452 | + | 0.218547i | ||||
\(86\) | 6259.56 | − | 7483.35i | 0.846344 | − | 1.01181i | ||||
\(87\) | 3247.34 | − | 1874.85i | 0.429031 | − | 0.247701i | ||||
\(88\) | −1326.84 | − | 757.856i | −0.171337 | − | 0.0978636i | ||||
\(89\) | 2171.75 | − | 12316.6i | 0.274176 | − | 1.55493i | −0.467391 | − | 0.884051i | \(-0.654806\pi\) |
0.741567 | − | 0.670879i | \(-0.234083\pi\) | |||||||
\(90\) | 4996.42 | + | 1809.79i | 0.616842 | + | 0.223431i | ||||
\(91\) | −3556.76 | + | 4238.78i | −0.429508 | + | 0.511868i | ||||
\(92\) | −1265.92 | + | 3511.88i | −0.149565 | + | 0.414919i | ||||
\(93\) | −19484.5 | − | 7091.79i | −2.25281 | − | 0.819955i | ||||
\(94\) | −776.042 | + | 449.651i | −0.0878273 | + | 0.0508885i | ||||
\(95\) | 2794.42 | − | 2423.95i | 0.309631 | − | 0.268582i | ||||
\(96\) | 12928.0 | + | 7331.18i | 1.40278 | + | 0.795484i | ||||
\(97\) | 13367.7 | + | 4865.46i | 1.42074 | + | 0.517107i | 0.934262 | − | 0.356587i | \(-0.116060\pi\) |
0.486477 | + | 0.873694i | \(0.338282\pi\) | |||||||
\(98\) | −3337.71 | + | 2809.49i | −0.347534 | + | 0.292533i | ||||
\(99\) | −1989.67 | + | 2371.19i | −0.203007 | + | 0.241934i | ||||
\(100\) | −1470.10 | − | 8189.02i | −0.147010 | − | 0.818902i | ||||
\(101\) | −2150.52 | + | 12196.2i | −0.210815 | + | 1.19559i | 0.677208 | + | 0.735792i | \(0.263190\pi\) |
−0.888023 | + | 0.459799i | \(0.847921\pi\) | |||||||
\(102\) | 40.4861 | + | 26155.6i | 0.00389140 | + | 2.51399i | ||||
\(103\) | 3703.31 | − | 2138.11i | 0.349073 | − | 0.201537i | −0.315204 | − | 0.949024i | \(-0.602073\pi\) |
0.664277 | + | 0.747487i | \(0.268740\pi\) | |||||||
\(104\) | 9177.53 | − | 3388.69i | 0.848514 | − | 0.313304i | ||||
\(105\) | −5058.90 | + | 1841.29i | −0.458857 | + | 0.167010i | ||||
\(106\) | −6337.41 | + | 11016.1i | −0.564027 | + | 0.980426i | ||||
\(107\) | −5871.84 | − | 3390.11i | −0.512869 | − | 0.296105i | 0.221143 | − | 0.975241i | \(-0.429021\pi\) |
−0.734012 | + | 0.679136i | \(0.762355\pi\) | |||||||
\(108\) | 7234.70 | − | 8676.38i | 0.620258 | − | 0.743860i | ||||
\(109\) | −7822.79 | + | 6564.10i | −0.658429 | + | 0.552487i | −0.909615 | − | 0.415451i | \(-0.863624\pi\) |
0.251187 | + | 0.967939i | \(0.419179\pi\) | |||||||
\(110\) | −964.012 | − | 168.443i | −0.0796704 | − | 0.0139209i | ||||
\(111\) | −17119.9 | + | 3018.70i | −1.38949 | + | 0.245005i | ||||
\(112\) | −9115.83 | + | 1665.63i | −0.726708 | + | 0.132783i | ||||
\(113\) | 20741.0 | 1.62432 | 0.812162 | − | 0.583432i | \(-0.198290\pi\) | ||||
0.812162 | + | 0.583432i | \(0.198290\pi\) | |||||||
\(114\) | −7520.11 | − | 19562.1i | −0.578648 | − | 1.50524i | ||||
\(115\) | 2390.84i | 0.180782i | ||||||||
\(116\) | 3158.35 | − | 2666.88i | 0.234717 | − | 0.198193i | ||||
\(117\) | −3441.39 | − | 19517.1i | −0.251398 | − | 1.42575i | ||||
\(118\) | −20421.8 | − | 3568.33i | −1.46666 | − | 0.256272i | ||||
\(119\) | −10482.9 | − | 12493.0i | −0.740265 | − | 0.882214i | ||||
\(120\) | 9381.34 | + | 1609.30i | 0.651482 | + | 0.111757i | ||||
\(121\) | −7035.49 | + | 12185.8i | −0.480533 | + | 0.832308i | ||||
\(122\) | −6293.36 | + | 10939.5i | −0.422827 | + | 0.734984i | ||||
\(123\) | −5028.09 | − | 13814.6i | −0.332348 | − | 0.913118i | ||||
\(124\) | −22523.3 | − | 3899.61i | −1.46484 | − | 0.253617i | ||||
\(125\) | −5866.48 | − | 10161.0i | −0.375455 | − | 0.650307i | ||||
\(126\) | 29.0572 | + | 18772.0i | 0.00183026 | + | 1.18242i | ||||
\(127\) | 19404.3 | + | 3421.51i | 1.20307 | + | 0.212134i | 0.739025 | − | 0.673678i | \(-0.235286\pi\) |
0.464045 | + | 0.885811i | \(0.346397\pi\) | |||||||
\(128\) | 15455.7 | + | 5436.51i | 0.943343 | + | 0.331818i | ||||
\(129\) | −27117.6 | − | 22754.4i | −1.62957 | − | 1.36737i | ||||
\(130\) | 4793.50 | − | 4034.88i | 0.283639 | − | 0.238750i | ||||
\(131\) | −2770.67 | + | 7612.36i | −0.161452 | + | 0.443585i | −0.993869 | − | 0.110564i | \(-0.964734\pi\) |
0.832417 | + | 0.554149i | \(0.186956\pi\) | |||||||
\(132\) | −2757.27 | + | 4810.07i | −0.158246 | + | 0.276060i | ||||
\(133\) | 11422.4 | + | 6347.41i | 0.645736 | + | 0.358834i | ||||
\(134\) | 15591.9 | − | 9034.19i | 0.868339 | − | 0.503130i | ||||
\(135\) | 2474.55 | − | 6798.77i | 0.135778 | − | 0.373046i | ||||
\(136\) | 5138.80 | + | 28372.5i | 0.277833 | + | 1.53398i | ||||
\(137\) | 358.048 | + | 300.438i | 0.0190766 | + | 0.0160071i | 0.652276 | − | 0.757981i | \(-0.273814\pi\) |
−0.633199 | + | 0.773989i | \(0.718259\pi\) | |||||||
\(138\) | 12735.5 | + | 4613.02i | 0.668739 | + | 0.242229i | ||||
\(139\) | −13003.4 | − | 2292.85i | −0.673020 | − | 0.118672i | −0.173314 | − | 0.984867i | \(-0.555447\pi\) |
−0.499706 | + | 0.866195i | \(0.666559\pi\) | |||||||
\(140\) | −5130.54 | + | 2983.34i | −0.261762 | + | 0.152211i | ||||
\(141\) | 1627.16 | + | 2818.33i | 0.0818452 | + | 0.141760i | ||||
\(142\) | −5734.66 | + | 6855.82i | −0.284401 | + | 0.340003i | ||||
\(143\) | 1248.24 | + | 3429.52i | 0.0610418 | + | 0.167711i | ||||
\(144\) | 16416.6 | − | 28845.4i | 0.791696 | − | 1.39108i | ||||
\(145\) | 1323.71 | − | 2292.73i | 0.0629588 | − | 0.109048i | ||||
\(146\) | 5191.02 | − | 1898.48i | 0.243527 | − | 0.0890637i | ||||
\(147\) | 10175.3 | + | 12126.4i | 0.470881 | + | 0.561174i | ||||
\(148\) | −17988.1 | + | 6610.28i | −0.821226 | + | 0.301784i | ||||
\(149\) | 3895.49 | + | 22092.4i | 0.175465 | + | 0.995110i | 0.937606 | + | 0.347699i | \(0.113037\pi\) |
−0.762141 | + | 0.647411i | \(0.775852\pi\) | |||||||
\(150\) | −29721.5 | + | 5288.14i | −1.32095 | + | 0.235029i | ||||
\(151\) | 41144.0i | 1.80448i | 0.431234 | + | 0.902240i | \(0.358078\pi\) | ||||
−0.431234 | + | 0.902240i | \(0.641922\pi\) | |||||||
\(152\) | −11970.3 | − | 19761.2i | −0.518105 | − | 0.855317i | ||||
\(153\) | 58410.5 | 2.49522 | ||||||||
\(154\) | −605.566 | − | 3403.52i | −0.0255341 | − | 0.143512i | ||||
\(155\) | −14417.2 | + | 2542.14i | −0.600092 | + | 0.105812i | ||||
\(156\) | −12244.1 | − | 33319.0i | −0.503125 | − | 1.36912i | ||||
\(157\) | −5990.20 | + | 5026.37i | −0.243020 | + | 0.203918i | −0.756160 | − | 0.654387i | \(-0.772927\pi\) |
0.513140 | + | 0.858305i | \(0.328482\pi\) | |||||||
\(158\) | −13884.3 | − | 37963.9i | −0.556173 | − | 1.52075i | ||||
\(159\) | 39935.3 | + | 23056.7i | 1.57966 | + | 0.912016i | ||||
\(160\) | 10492.8 | − | 81.2103i | 0.409875 | − | 0.00317228i | ||||
\(161\) | −7936.33 | + | 2888.59i | −0.306174 | + | 0.111438i | ||||
\(162\) | 779.151 | + | 651.733i | 0.0296887 | + | 0.0248336i | ||||
\(163\) | −12596.4 | + | 7272.56i | −0.474103 | + | 0.273724i | −0.717956 | − | 0.696089i | \(-0.754922\pi\) |
0.243853 | + | 0.969812i | \(0.421589\pi\) | |||||||
\(164\) | −8146.74 | − | 14010.2i | −0.302898 | − | 0.520903i | ||||
\(165\) | −616.597 | + | 3496.89i | −0.0226482 | + | 0.128444i | ||||
\(166\) | 14390.1 | − | 39727.7i | 0.522213 | − | 1.44171i | ||||
\(167\) | 17901.1 | − | 21333.7i | 0.641870 | − | 0.764951i | −0.342795 | − | 0.939410i | \(-0.611373\pi\) |
0.984664 | + | 0.174460i | \(0.0558179\pi\) | |||||||
\(168\) | 5992.40 | + | 33085.4i | 0.212316 | + | 1.17224i | ||||
\(169\) | 4880.98 | + | 1776.53i | 0.170897 | + | 0.0622014i | ||||
\(170\) | 9258.12 | + | 15978.4i | 0.320350 | + | 0.552885i | ||||
\(171\) | −43712.0 | + | 16726.2i | −1.49489 | + | 0.572013i | ||||
\(172\) | −33856.6 | − | 19407.6i | −1.14442 | − | 0.656017i | ||||
\(173\) | 24737.5 | + | 9003.71i | 0.826539 | + | 0.300835i | 0.720438 | − | 0.693520i | \(-0.243941\pi\) |
0.106101 | + | 0.994355i | \(0.466163\pi\) | |||||||
\(174\) | −9658.82 | − | 11474.8i | −0.319026 | − | 0.379007i | ||||
\(175\) | 12099.1 | − | 14419.2i | 0.395074 | − | 0.470831i | ||||
\(176\) | −2054.85 | + | 5756.30i | −0.0663369 | + | 0.185831i | ||||
\(177\) | −13062.1 | + | 74078.9i | −0.416934 | + | 2.36455i | ||||
\(178\) | −50026.3 | + | 77.4356i | −1.57891 | + | 0.00244400i | ||||
\(179\) | 6591.27 | − | 3805.47i | 0.205714 | − | 0.118769i | −0.393604 | − | 0.919280i | \(-0.628772\pi\) |
0.599318 | + | 0.800511i | \(0.295439\pi\) | |||||||
\(180\) | 3626.30 | − | 20944.7i | 0.111923 | − | 0.646443i | ||||
\(181\) | 41742.1 | − | 15192.9i | 1.27414 | − | 0.463749i | 0.385651 | − | 0.922645i | \(-0.373977\pi\) |
0.888490 | + | 0.458896i | \(0.151755\pi\) | |||||||
\(182\) | 19185.1 | + | 11037.0i | 0.579191 | + | 0.333202i | ||||
\(183\) | 39657.8 | + | 22896.4i | 1.18420 | + | 0.683700i | ||||
\(184\) | 14717.3 | + | 2524.65i | 0.434703 | + | 0.0745702i | ||||
\(185\) | −9402.21 | + | 7889.39i | −0.274718 | + | 0.230516i | ||||
\(186\) | −14275.9 | + | 81702.2i | −0.412647 | + | 2.36161i | ||||
\(187\) | −10593.2 | + | 1867.86i | −0.302931 | + | 0.0534148i | ||||
\(188\) | 2314.56 | + | 2741.10i | 0.0654866 | + | 0.0775550i | ||||
\(189\) | 25558.0 | 0.715491 | ||||||||
\(190\) | −11503.9 | − | 9306.41i | −0.318667 | − | 0.257795i | ||||
\(191\) | − | 10364.0i | − | 0.284092i | −0.989860 | − | 0.142046i | \(-0.954632\pi\) | ||
0.989860 | − | 0.142046i | \(-0.0453681\pi\) | |||||||
\(192\) | 19812.8 | − | 56049.4i | 0.537456 | − | 1.52044i | ||||
\(193\) | −3605.70 | − | 20448.9i | −0.0967998 | − | 0.548979i | −0.994181 | − | 0.107723i | \(-0.965644\pi\) |
0.897381 | − | 0.441256i | \(-0.145467\pi\) | |||||||
\(194\) | 9794.28 | − | 56053.3i | 0.260237 | − | 1.48935i | ||||
\(195\) | −14613.3 | − | 17415.5i | −0.384309 | − | 0.458001i | ||||
\(196\) | 13402.9 | + | 11175.8i | 0.348889 | + | 0.290916i | ||||
\(197\) | 20722.4 | − | 35892.3i | 0.533959 | − | 0.924844i | −0.465254 | − | 0.885177i | \(-0.654037\pi\) |
0.999213 | − | 0.0396667i | \(-0.0126296\pi\) | |||||||
\(198\) | 10732.3 | + | 6174.14i | 0.273754 | + | 0.157488i | ||||
\(199\) | −23906.1 | − | 65681.4i | −0.603673 | − | 1.65858i | −0.743765 | − | 0.668441i | \(-0.766962\pi\) |
0.140092 | − | 0.990138i | \(-0.455260\pi\) | |||||||
\(200\) | −31219.5 | + | 11527.4i | −0.780488 | + | 0.288186i | ||||
\(201\) | −32692.3 | − | 56624.7i | −0.809195 | − | 1.40157i | ||||
\(202\) | 49537.4 | − | 76.6788i | 1.21403 | − | 0.00187920i | ||||
\(203\) | 9209.95 | + | 1623.96i | 0.223494 | + | 0.0394080i | ||||
\(204\) | 102976. | − | 18486.4i | 2.47444 | − | 0.444213i | ||||
\(205\) | −7951.18 | − | 6671.83i | −0.189201 | − | 0.158759i | ||||
\(206\) | −11015.1 | − | 13086.0i | −0.259569 | − | 0.308371i | ||||
\(207\) | 10345.8 | − | 28424.8i | 0.241447 | − | 0.663370i | ||||
\(208\) | −19775.8 | − | 33768.1i | −0.457096 | − | 0.780512i | ||||
\(209\) | 7392.62 | − | 4431.26i | 0.169241 | − | 0.101446i | ||||
\(210\) | 10796.0 | + | 18632.5i | 0.244807 | + | 0.422506i | ||||
\(211\) | −20565.6 | + | 56503.4i | −0.461930 | + | 1.26914i | 0.462103 | + | 0.886827i | \(0.347095\pi\) |
−0.924032 | + | 0.382315i | \(0.875127\pi\) | |||||||
\(212\) | 47823.5 | + | 17238.8i | 1.06407 | + | 0.383563i | ||||
\(213\) | 24843.6 | + | 20846.3i | 0.547590 | + | 0.459482i | ||||
\(214\) | −9236.42 | + | 25499.6i | −0.201686 | + | 0.556808i | ||||
\(215\) | −24613.6 | − | 4340.04i | −0.532473 | − | 0.0938894i | ||||
\(216\) | −39238.2 | − | 22411.9i | −0.841010 | − | 0.480364i | ||||
\(217\) | −25857.3 | − | 44786.2i | −0.549116 | − | 0.951096i | ||||
\(218\) | 31331.8 | + | 26207.9i | 0.659283 | + | 0.551467i | ||||
\(219\) | −6859.34 | − | 18845.9i | −0.143019 | − | 0.392942i | ||||
\(220\) | 12.1184 | + | 3914.45i | 0.000250379 | + | 0.0808771i | ||||
\(221\) | 34434.7 | − | 59642.6i | 0.705036 | − | 1.22116i | ||||
\(222\) | 23883.9 | + | 65305.7i | 0.484617 | + | 1.32509i | ||||
\(223\) | −7177.70 | − | 8554.04i | −0.144336 | − | 0.172013i | 0.689033 | − | 0.724730i | \(-0.258036\pi\) |
−0.833369 | + | 0.552717i | \(0.813591\pi\) | |||||||
\(224\) | 12946.9 | + | 34732.4i | 0.258029 | + | 0.692212i | ||||
\(225\) | 11706.7 | + | 66392.0i | 0.231243 | + | 1.31145i | ||||
\(226\) | −14533.0 | − | 81681.2i | −0.284537 | − | 1.59921i | ||||
\(227\) | − | 24088.1i | − | 0.467468i | −0.972301 | − | 0.233734i | \(-0.924906\pi\) | ||
0.972301 | − | 0.233734i | \(-0.0750944\pi\) | |||||||
\(228\) | −71769.4 | + | 43322.3i | −1.38060 | + | 0.833378i | ||||
\(229\) | 63976.3 | 1.21997 | 0.609983 | − | 0.792414i | \(-0.291176\pi\) | ||||
0.609983 | + | 0.792414i | \(0.291176\pi\) | |||||||
\(230\) | 9415.49 | − | 1675.24i | 0.177987 | − | 0.0316680i | ||||
\(231\) | −12352.8 | + | 2178.13i | −0.231495 | + | 0.0408188i | ||||
\(232\) | −12715.6 | − | 10569.4i | −0.236244 | − | 0.196370i | ||||
\(233\) | −70066.5 | + | 58792.8i | −1.29062 | + | 1.08296i | −0.298936 | + | 0.954273i | \(0.596632\pi\) |
−0.991685 | + | 0.128686i | \(0.958924\pi\) | |||||||
\(234\) | −74450.0 | + | 27228.1i | −1.35967 | + | 0.497263i | ||||
\(235\) | 1989.84 | + | 1148.83i | 0.0360315 | + | 0.0208028i | ||||
\(236\) | 256.718 | + | 82924.5i | 0.00460927 | + | 1.48888i | ||||
\(237\) | −137827. | + | 50164.9i | −2.45379 | + | 0.893107i | ||||
\(238\) | −41854.2 | + | 50037.0i | −0.738899 | + | 0.883359i | ||||
\(239\) | −64025.5 | + | 36965.2i | −1.12088 | + | 0.647138i | −0.941624 | − | 0.336666i | \(-0.890701\pi\) |
−0.179251 | + | 0.983803i | \(0.557367\pi\) | |||||||
\(240\) | −235.733 | − | 38072.7i | −0.00409259 | − | 0.660985i | ||||
\(241\) | 3965.54 | − | 22489.7i | 0.0682761 | − | 0.387213i | −0.931451 | − | 0.363866i | \(-0.881457\pi\) |
0.999727 | − | 0.0233470i | \(-0.00743226\pi\) | |||||||
\(242\) | 52919.3 | + | 19168.3i | 0.903615 | + | 0.327306i | ||||
\(243\) | 39130.6 | − | 46634.0i | 0.662680 | − | 0.789751i | ||||
\(244\) | 47491.1 | + | 17119.0i | 0.797687 | + | 0.287541i | ||||
\(245\) | 10502.4 | + | 3822.58i | 0.174968 | + | 0.0636831i | ||||
\(246\) | −50880.7 | + | 29481.1i | −0.840781 | + | 0.487162i | ||||
\(247\) | −8690.40 | + | 54494.6i | −0.142445 | + | 0.893222i | ||||
\(248\) | 424.587 | + | 91432.6i | 0.00690341 | + | 1.48661i | ||||
\(249\) | −144068. | − | 52436.5i | −2.32364 | − | 0.845737i | ||||
\(250\) | −35905.2 | + | 30222.8i | −0.574483 | + | 0.483565i | ||||
\(251\) | 8926.59 | − | 10638.3i | 0.141690 | − | 0.168859i | −0.690533 | − | 0.723301i | \(-0.742624\pi\) |
0.832222 | + | 0.554442i | \(0.187068\pi\) | |||||||
\(252\) | 73906.8 | − | 13267.8i | 1.16381 | − | 0.208929i | ||||
\(253\) | −967.309 | + | 5485.88i | −0.0151121 | + | 0.0857048i | ||||
\(254\) | −121.997 | − | 78814.6i | −0.00189095 | − | 1.22163i | ||||
\(255\) | 58028.3 | − | 33502.6i | 0.892399 | − | 0.515227i | ||||
\(256\) | 10580.1 | − | 64676.3i | 0.161440 | − | 0.986883i | ||||
\(257\) | −83396.3 | + | 30353.8i | −1.26264 | + | 0.459565i | −0.884655 | − | 0.466246i | \(-0.845606\pi\) |
−0.377988 | + | 0.925810i | \(0.623384\pi\) | |||||||
\(258\) | −70609.1 | + | 122737.i | −1.06077 | + | 1.84389i | ||||
\(259\) | −37548.3 | − | 21678.5i | −0.559745 | − | 0.323169i | ||||
\(260\) | −19248.7 | − | 16050.3i | −0.284745 | − | 0.237431i | ||||
\(261\) | −25658.8 | + | 21530.3i | −0.376666 | + | 0.316060i | ||||
\(262\) | 31920.0 | + | 5577.43i | 0.465008 | + | 0.0812515i | ||||
\(263\) | 113280. | − | 19974.3i | 1.63772 | − | 0.288775i | 0.722394 | − | 0.691482i | \(-0.243042\pi\) |
0.915329 | + | 0.402707i | \(0.131931\pi\) | |||||||
\(264\) | 20874.8 | + | 7488.20i | 0.299512 | + | 0.107441i | ||||
\(265\) | 32557.6 | 0.463618 | ||||||||
\(266\) | 16993.5 | − | 49430.8i | 0.240170 | − | 0.698609i | ||||
\(267\) | 181517.i | 2.54621i | ||||||||
\(268\) | −46503.1 | − | 55073.1i | −0.647459 | − | 0.766778i | ||||
\(269\) | −18495.6 | − | 104894.i | −0.255601 | − | 1.44959i | −0.794524 | − | 0.607232i | \(-0.792280\pi\) |
0.538923 | − | 0.842355i | \(-0.318831\pi\) | |||||||
\(270\) | −28508.5 | − | 4981.32i | −0.391063 | − | 0.0683309i | ||||
\(271\) | 29364.3 | + | 34995.0i | 0.399836 | + | 0.476506i | 0.927970 | − | 0.372655i | \(-0.121553\pi\) |
−0.528134 | + | 0.849161i | \(0.677108\pi\) | |||||||
\(272\) | 108134. | − | 40117.7i | 1.46159 | − | 0.542248i | ||||
\(273\) | 40154.6 | − | 69549.8i | 0.538778 | − | 0.933191i | ||||
\(274\) | 932.290 | − | 1620.56i | 0.0124180 | − | 0.0215856i | ||||
\(275\) | −4246.19 | − | 11666.3i | −0.0561480 | − | 0.154265i | ||||
\(276\) | 9243.15 | − | 53386.4i | 0.121339 | − | 0.700830i | ||||
\(277\) | 56350.4 | + | 97601.7i | 0.734408 | + | 1.27203i | 0.954983 | + | 0.296661i | \(0.0958733\pi\) |
−0.220575 | + | 0.975370i | \(0.570793\pi\) | |||||||
\(278\) | 81.7537 | + | 52816.0i | 0.00105783 | + | 0.683401i | ||||
\(279\) | 182407. | + | 32163.3i | 2.34333 | + | 0.413192i | ||||
\(280\) | 15343.7 | + | 18114.5i | 0.195711 | + | 0.231052i | ||||
\(281\) | −91159.1 | − | 76491.5i | −1.15448 | − | 0.968725i | −0.154667 | − | 0.987967i | \(-0.549431\pi\) |
−0.999815 | + | 0.0192411i | \(0.993875\pi\) | |||||||
\(282\) | 9958.88 | − | 8382.80i | 0.125231 | − | 0.105412i | ||||
\(283\) | 22518.3 | − | 61868.5i | 0.281166 | − | 0.772497i | −0.716058 | − | 0.698041i | \(-0.754055\pi\) |
0.997224 | − | 0.0744568i | \(-0.0237223\pi\) | |||||||
\(284\) | 31017.5 | + | 17780.1i | 0.384565 | + | 0.220444i | ||||
\(285\) | −33832.2 | + | 41688.7i | −0.416524 | + | 0.513250i | ||||
\(286\) | 12631.3 | − | 7318.80i | 0.154425 | − | 0.0894763i | ||||
\(287\) | 12540.4 | − | 34454.5i | 0.152247 | − | 0.418295i | ||||
\(288\) | −125101. | − | 44439.4i | −1.50825 | − | 0.535776i | ||||
\(289\) | 91510.7 | + | 76786.6i | 1.09566 | + | 0.919369i | ||||
\(290\) | −9956.64 | − | 3606.48i | −0.118390 | − | 0.0428832i | ||||
\(291\) | −203330. | − | 35852.6i | −2.40113 | − | 0.423384i | ||||
\(292\) | −11113.8 | − | 19112.8i | −0.130346 | − | 0.224160i | ||||
\(293\) | 11384.3 | + | 19718.1i | 0.132608 | + | 0.229684i | 0.924681 | − | 0.380743i | \(-0.124332\pi\) |
−0.792073 | + | 0.610426i | \(0.790998\pi\) | |||||||
\(294\) | 40626.0 | − | 48568.6i | 0.470012 | − | 0.561903i | ||||
\(295\) | 18164.4 | + | 49906.3i | 0.208726 | + | 0.573470i | ||||
\(296\) | 38636.4 | + | 66208.2i | 0.440974 | + | 0.755664i | ||||
\(297\) | 8428.66 | − | 14598.9i | 0.0955533 | − | 0.165503i | ||||
\(298\) | 84273.8 | − | 30821.0i | 0.948987 | − | 0.347067i | ||||
\(299\) | −22925.2 | − | 27321.2i | −0.256431 | − | 0.305603i | ||||
\(300\) | 41651.0 | + | 113342.i | 0.462789 | + | 1.25936i | ||||
\(301\) | −15331.2 | − | 86947.7i | −0.169217 | − | 0.959677i | ||||
\(302\) | 162031. | − | 28829.1i | 1.77658 | − | 0.316095i | ||||
\(303\) | − | 179743.i | − | 1.95779i | ||||||
\(304\) | −69435.3 | + | 60987.4i | −0.751334 | + | 0.659922i | ||||
\(305\) | 32331.3 | 0.347555 | ||||||||
\(306\) | −40927.6 | − | 230029.i | −0.437093 | − | 2.45663i | ||||
\(307\) | −14155.2 | + | 2495.95i | −0.150190 | + | 0.0264825i | −0.248237 | − | 0.968699i | \(-0.579851\pi\) |
0.0980478 | + | 0.995182i | \(0.468740\pi\) | |||||||
\(308\) | −12979.3 | + | 4769.62i | −0.136820 | + | 0.0502785i | ||||
\(309\) | −47543.6 | + | 39893.8i | −0.497938 | + | 0.417819i | ||||
\(310\) | 20113.3 | + | 54995.9i | 0.209296 | + | 0.572278i | ||||
\(311\) | 12059.3 | + | 6962.46i | 0.124682 | + | 0.0719850i | 0.561044 | − | 0.827786i | \(-0.310400\pi\) |
−0.436362 | + | 0.899771i | \(0.643733\pi\) | |||||||
\(312\) | −122636. | + | 71565.2i | −1.25982 | + | 0.735179i | ||||
\(313\) | −54768.3 | + | 19934.0i | −0.559037 | + | 0.203473i | −0.606057 | − | 0.795421i | \(-0.707250\pi\) |
0.0470200 | + | 0.998894i | \(0.485028\pi\) | |||||||
\(314\) | 23991.9 | + | 20068.4i | 0.243335 | + | 0.203542i | ||||
\(315\) | 41647.3 | − | 24045.1i | 0.419726 | − | 0.242329i | ||||
\(316\) | −139779. | + | 81279.4i | −1.39980 | + | 0.813966i | ||||
\(317\) | 838.846 | − | 4757.33i | 0.00834764 | − | 0.0473418i | −0.980349 | − | 0.197269i | \(-0.936793\pi\) |
0.988697 | + | 0.149927i | \(0.0479039\pi\) | |||||||
\(318\) | 62818.4 | − | 173427.i | 0.621202 | − | 1.71499i | ||||
\(319\) | 3964.92 | − | 4725.21i | 0.0389631 | − | 0.0464344i | ||||
\(320\) | −7672.01 | − | 41265.3i | −0.0749220 | − | 0.402981i | ||||
\(321\) | 92471.4 | + | 33656.8i | 0.897423 | + | 0.326635i | ||||
\(322\) | 16936.6 | + | 29230.5i | 0.163348 | + | 0.281919i | ||||
\(323\) | −153725. | − | 53114.4i | −1.47346 | − | 0.509105i | ||||
\(324\) | 2020.68 | − | 3525.08i | 0.0192490 | − | 0.0335799i | ||||
\(325\) | 74693.8 | + | 27186.3i | 0.707160 | + | 0.257385i | ||||
\(326\) | 37466.6 | + | 44510.9i | 0.352541 | + | 0.418824i | ||||
\(327\) | 95269.4 | − | 113538.i | 0.890960 | − | 1.06180i | ||||
\(328\) | −49466.0 | + | 41899.9i | −0.459790 | + | 0.389462i | ||||
\(329\) | −1409.42 | + | 7993.23i | −0.0130211 | + | 0.0738466i | ||||
\(330\) | 14203.3 | − | 21.9853i | 0.130426 | − | 0.000201885i | ||||
\(331\) | −77678.5 | + | 44847.7i | −0.708997 | + | 0.409340i | −0.810690 | − | 0.585476i | \(-0.800908\pi\) |
0.101692 | + | 0.994816i | \(0.467574\pi\) | |||||||
\(332\) | −166537. | − | 28833.6i | −1.51089 | − | 0.261591i | ||||
\(333\) | 145923. | − | 53111.5i | 1.31593 | − | 0.478961i | ||||
\(334\) | −96558.5 | − | 55549.0i | −0.865561 | − | 0.497947i | ||||
\(335\) | −39979.0 | − | 23081.9i | −0.356240 | − | 0.205675i | ||||
\(336\) | 126097. | − | 46781.6i | 1.11693 | − | 0.414378i | ||||
\(337\) | 77453.5 | − | 64991.2i | 0.681995 | − | 0.572262i | −0.234593 | − | 0.972094i | \(-0.575376\pi\) |
0.916589 | + | 0.399832i | \(0.130931\pi\) | |||||||
\(338\) | 3576.20 | − | 20466.9i | 0.0313032 | − | 0.179150i | ||||
\(339\) | −296455. | + | 52273.1i | −2.57965 | + | 0.454861i | ||||
\(340\) | 56438.2 | − | 47655.8i | 0.488219 | − | 0.412247i | ||||
\(341\) | −34109.4 | −0.293336 | ||||||||
\(342\) | 96498.9 | + | 160424.i | 0.825031 | + | 1.37157i | ||||
\(343\) | 126393.i | 1.07432i | ||||||||
\(344\) | −52707.1 | + | 146931.i | −0.445402 | + | 1.24164i | ||||
\(345\) | −6025.58 | − | 34172.8i | −0.0506245 | − | 0.287106i | ||||
\(346\) | 18124.7 | − | 103729.i | 0.151397 | − | 0.866457i | ||||
\(347\) | 34018.6 | + | 40541.8i | 0.282525 | + | 0.336701i | 0.888579 | − | 0.458723i | \(-0.151693\pi\) |
−0.606054 | + | 0.795424i | \(0.707248\pi\) | |||||||
\(348\) | −38421.7 | + | 46078.2i | −0.317262 | + | 0.380484i | ||||
\(349\) | 47405.0 | − | 82107.9i | 0.389201 | − | 0.674115i | −0.603142 | − | 0.797634i | \(-0.706085\pi\) |
0.992342 | + | 0.123519i | \(0.0394180\pi\) | |||||||
\(350\) | −65262.7 | − | 37544.9i | −0.532757 | − | 0.306489i | ||||
\(351\) | 36914.0 | + | 101420.i | 0.299624 | + | 0.823211i | ||||
\(352\) | 24109.0 | + | 4058.93i | 0.194578 | + | 0.0327587i | ||||
\(353\) | 40781.9 | + | 70636.3i | 0.327279 | + | 0.566863i | 0.981971 | − | 0.189032i | \(-0.0605351\pi\) |
−0.654692 | + | 0.755896i | \(0.727202\pi\) | |||||||
\(354\) | 300887. | − | 465.741i | 2.40102 | − | 0.00371653i | ||||
\(355\) | 22549.6 | + | 3976.10i | 0.178929 | + | 0.0315501i | ||||
\(356\) | 35357.9 | + | 196957.i | 0.278988 | + | 1.55407i | ||||
\(357\) | 181320. | + | 152146.i | 1.42269 | + | 1.19378i | ||||
\(358\) | −19605.0 | − | 23291.0i | −0.152968 | − | 0.181728i | ||||
\(359\) | −8816.23 | + | 24222.4i | −0.0684059 | + | 0.187944i | −0.969185 | − | 0.246334i | \(-0.920774\pi\) |
0.900779 | + | 0.434278i | \(0.142996\pi\) | |||||||
\(360\) | −85024.5 | + | 394.830i | −0.656053 | + | 0.00304653i | ||||
\(361\) | 130251. | − | 4271.59i | 0.999463 | − | 0.0327774i | ||||
\(362\) | −89080.2 | − | 153741.i | −0.679773 | − | 1.17320i | ||||
\(363\) | 69848.0 | − | 191906.i | 0.530079 | − | 1.45638i | ||||
\(364\) | 30022.5 | − | 83287.5i | 0.226592 | − | 0.628604i | ||||
\(365\) | −10847.0 | − | 9101.73i | −0.0814188 | − | 0.0683185i | ||||
\(366\) | 62381.8 | − | 172222.i | 0.465689 | − | 1.28566i | ||||
\(367\) | 721.003 | + | 127.132i | 0.00535310 | + | 0.000943895i | 0.176324 | − | 0.984332i | \(-0.443579\pi\) |
−0.170971 | + | 0.985276i | \(0.554690\pi\) | |||||||
\(368\) | −369.815 | − | 59728.0i | −0.00273080 | − | 0.441044i | ||||
\(369\) | 65661.1 | + | 113728.i | 0.482231 | + | 0.835249i | ||||
\(370\) | 37657.7 | + | 31499.3i | 0.275074 | + | 0.230090i | ||||
\(371\) | 39335.8 | + | 108074.i | 0.285785 | + | 0.785188i | ||||
\(372\) | 331758. | − | 1027.06i | 2.39738 | − | 0.00742180i | ||||
\(373\) | 82738.1 | − | 143307.i | 0.594686 | − | 1.03003i | −0.398905 | − | 0.916992i | \(-0.630610\pi\) |
0.993591 | − | 0.113034i | \(-0.0360570\pi\) | |||||||
\(374\) | 14778.5 | + | 40408.8i | 0.105654 | + | 0.288890i | ||||
\(375\) | 109460. | + | 130449.i | 0.778379 | + | 0.927636i | ||||
\(376\) | 9173.10 | − | 11035.7i | 0.0648844 | − | 0.0780595i | ||||
\(377\) | 6857.85 | + | 38892.8i | 0.0482509 | + | 0.273644i | ||||
\(378\) | −17908.2 | − | 100651.i | −0.125334 | − | 0.704428i | ||||
\(379\) | 181226.i | 1.26166i | 0.775921 | + | 0.630830i | \(0.217285\pi\) | ||||
−0.775921 | + | 0.630830i | \(0.782715\pi\) | |||||||
\(380\) | −28589.4 | + | 51825.0i | −0.197988 | + | 0.358899i | ||||
\(381\) | −285973. | −1.97004 | ||||||||
\(382\) | −40814.9 | + | 7261.92i | −0.279700 | + | 0.0497651i | ||||
\(383\) | −26807.4 | + | 4726.88i | −0.182750 | + | 0.0322238i | −0.264274 | − | 0.964448i | \(-0.585132\pi\) |
0.0815240 | + | 0.996671i | \(0.474021\pi\) | |||||||
\(384\) | −234614. | − | 38752.5i | −1.59108 | − | 0.262807i | ||||
\(385\) | −6784.13 | + | 5692.56i | −0.0457691 | + | 0.0384049i | ||||
\(386\) | −78004.5 | + | 28528.1i | −0.523534 | + | 0.191469i | ||||
\(387\) | 273851. | + | 158108.i | 1.82849 | + | 1.05568i | ||||
\(388\) | −227609. | + | 704.633i | −1.51191 | + | 0.00468058i | ||||
\(389\) | −180903. | + | 65843.3i | −1.19549 | + | 0.435123i | −0.861649 | − | 0.507505i | \(-0.830568\pi\) |
−0.333843 | + | 0.942629i | \(0.608345\pi\) | |||||||
\(390\) | −58345.4 | + | 69752.4i | −0.383599 | + | 0.458595i | ||||
\(391\) | 91033.9 | − | 52558.5i | 0.595456 | − | 0.343787i | ||||
\(392\) | 34620.9 | − | 60613.4i | 0.225303 | − | 0.394454i | ||||
\(393\) | 20416.5 | − | 115788.i | 0.132190 | − | 0.749684i | ||||
\(394\) | −155869. | − | 56458.6i | −1.00408 | − | 0.363696i | ||||
\(395\) | −66564.4 | + | 79328.3i | −0.426626 | + | 0.508433i | ||||
\(396\) | 16794.7 | − | 46591.4i | 0.107098 | − | 0.297109i | ||||
\(397\) | −102308. | − | 37237.1i | −0.649125 | − | 0.236262i | −0.00359108 | − | 0.999994i | \(-0.501143\pi\) |
−0.645534 | + | 0.763731i | \(0.723365\pi\) | |||||||
\(398\) | −241913. | + | 140168.i | −1.52719 | + | 0.884877i | ||||
\(399\) | −179260. | − | 61937.2i | −1.12600 | − | 0.389050i | ||||
\(400\) | 67271.9 | + | 114870.i | 0.420450 | + | 0.717937i | ||||
\(401\) | −145228. | − | 52858.8i | −0.903156 | − | 0.328722i | −0.151639 | − | 0.988436i | \(-0.548455\pi\) |
−0.751517 | + | 0.659714i | \(0.770677\pi\) | |||||||
\(402\) | −200090. | + | 168424.i | −1.23815 | + | 1.04220i | ||||
\(403\) | 140376. | − | 167293.i | 0.864336 | − | 1.03008i | ||||
\(404\) | −35012.3 | − | 195032.i | −0.214515 | − | 1.19493i | ||||
\(405\) | 451.876 | − | 2562.72i | 0.00275492 | − | 0.0156239i | ||||
\(406\) | −57.9038 | − | 37408.1i | −0.000351282 | − | 0.226941i | ||||
\(407\) | −24765.7 | + | 14298.5i | −0.149507 | + | 0.0863181i | ||||
\(408\) | −144956. | − | 392583.i | −0.870798 | − | 2.35836i | ||||
\(409\) | 103111. | − | 37529.2i | 0.616391 | − | 0.224348i | −0.0149063 | − | 0.999889i | \(-0.504745\pi\) |
0.631297 | + | 0.775541i | \(0.282523\pi\) | |||||||
\(410\) | −20703.4 | + | 35987.8i | −0.123161 | + | 0.214086i | ||||
\(411\) | −5874.85 | − | 3391.84i | −0.0347787 | − | 0.0200795i | ||||
\(412\) | −43816.7 | + | 52548.2i | −0.258134 | + | 0.309573i | ||||
\(413\) | −143716. | + | 120592.i | −0.842571 | + | 0.707001i | ||||
\(414\) | −119190. | − | 20826.3i | −0.695408 | − | 0.121510i | ||||
\(415\) | −106601. | + | 18796.6i | −0.618961 | + | 0.109140i | ||||
\(416\) | −119127. | + | 101541.i | −0.688373 | + | 0.586752i | ||||
\(417\) | 191639. | 1.10208 | ||||||||
\(418\) | −22630.9 | − | 26008.3i | −0.129524 | − | 0.148854i | ||||
\(419\) | − | 102824.i | − | 0.585691i | −0.956160 | − | 0.292845i | \(-0.905398\pi\) | ||
0.956160 | − | 0.292845i | \(-0.0946021\pi\) | |||||||
\(420\) | 65813.1 | − | 55571.8i | 0.373090 | − | 0.315033i | ||||
\(421\) | 59436.4 | + | 337081.i | 0.335342 | + | 1.90182i | 0.423827 | + | 0.905743i | \(0.360687\pi\) |
−0.0884842 | + | 0.996078i | \(0.528202\pi\) | |||||||
\(422\) | 236929. | + | 41399.0i | 1.33043 | + | 0.232469i | ||||
\(423\) | −18686.0 | − | 22269.1i | −0.104432 | − | 0.124458i | ||||
\(424\) | 34379.8 | − | 200415.i | 0.191237 | − | 1.11480i | ||||
\(425\) | −117137. | + | 202888.i | −0.648512 | + | 1.12326i | ||||
\(426\) | 64688.1 | − | 112445.i | 0.356455 | − | 0.619612i | ||||
\(427\) | 39062.4 | + | 107323.i | 0.214241 | + | 0.588622i | ||||
\(428\) | 106893. | + | 18507.1i | 0.583529 | + | 0.101030i | ||||
\(429\) | −26484.8 | − | 45873.0i | −0.143907 | − | 0.249254i | ||||
\(430\) | 154.748 | + | 99973.0i | 0.000836927 | + | 0.540687i | ||||
\(431\) | −51860.3 | − | 9144.37i | −0.279178 | − | 0.0492265i | 0.0323062 | − | 0.999478i | \(-0.489715\pi\) |
−0.311484 | + | 0.950251i | \(0.600826\pi\) | |||||||
\(432\) | −60767.6 | + | 170230.i | −0.325615 | + | 0.912153i | ||||
\(433\) | 152164. | + | 127681.i | 0.811591 | + | 0.681005i | 0.950987 | − | 0.309231i | \(-0.100072\pi\) |
−0.139396 | + | 0.990237i | \(0.544516\pi\) | |||||||
\(434\) | −158257. | + | 133211.i | −0.840200 | + | 0.707231i | ||||
\(435\) | −13141.7 | + | 36106.6i | −0.0694503 | + | 0.190813i | ||||
\(436\) | 81257.0 | − | 141753.i | 0.427452 | − | 0.745691i | ||||
\(437\) | −53075.5 | + | 65400.7i | −0.277927 | + | 0.342468i | ||||
\(438\) | −69411.6 | + | 40218.2i | −0.361813 | + | 0.209640i | ||||
\(439\) | −71127.1 | + | 195420.i | −0.369068 | + | 1.01401i | 0.606649 | + | 0.794970i | \(0.292513\pi\) |
−0.975717 | + | 0.219036i | \(0.929709\pi\) | |||||||
\(440\) | 15407.2 | − | 2790.54i | 0.0795827 | − | 0.0144139i | ||||
\(441\) | −108323. | − | 90893.4i | −0.556983 | − | 0.467364i | ||||
\(442\) | −259009. | − | 93817.9i | −1.32578 | − | 0.480221i | ||||
\(443\) | 169602. | + | 29905.3i | 0.864216 | + | 0.152385i | 0.588148 | − | 0.808753i | \(-0.299857\pi\) |
0.276068 | + | 0.961138i | \(0.410968\pi\) | |||||||
\(444\) | 240448. | − | 139817.i | 1.21971 | − | 0.709242i | ||||
\(445\) | 64078.7 | + | 110988.i | 0.323589 | + | 0.560472i | ||||
\(446\) | −28657.8 | + | 34260.6i | −0.144070 | + | 0.172236i | ||||
\(447\) | −111358. | − | 305954.i | −0.557323 | − | 1.53123i | ||||
\(448\) | 127710. | − | 75323.3i | 0.636309 | − | 0.375296i | ||||
\(449\) | −49234.0 | + | 85275.7i | −0.244215 | + | 0.422993i | −0.961911 | − | 0.273364i | \(-0.911864\pi\) |
0.717696 | + | 0.696357i | \(0.245197\pi\) | |||||||
\(450\) | 253259. | − | 92622.9i | 1.25066 | − | 0.457397i | ||||
\(451\) | −15544.9 | − | 18525.7i | −0.0764251 | − | 0.0910799i | ||||
\(452\) | −311490. | + | 114466.i | −1.52464 | + | 0.560274i | ||||
\(453\) | −103694. | − | 588079.i | −0.505310 | − | 2.86576i | ||||
\(454\) | −94862.7 | + | 16878.3i | −0.460240 | + | 0.0818874i | ||||
\(455\) | − | 56701.0i | − | 0.273885i | ||||||
\(456\) | 220898. | + | 252283.i | 1.06234 | + | 1.21327i | ||||
\(457\) | −89403.5 | −0.428077 | −0.214039 | − | 0.976825i | \(-0.568662\pi\) | ||||
−0.214039 | + | 0.976825i | \(0.568662\pi\) | |||||||
\(458\) | −44827.5 | − | 251948.i | −0.213704 | − | 1.20110i | ||||
\(459\) | −313269. | + | 55237.8i | −1.48694 | + | 0.262187i | ||||
\(460\) | −13194.7 | − | 35905.8i | −0.0623567 | − | 0.169687i | ||||
\(461\) | 219673. | − | 184328.i | 1.03365 | − | 0.867339i | 0.0423730 | − | 0.999102i | \(-0.486508\pi\) |
0.991281 | + | 0.131763i | \(0.0420638\pi\) | |||||||
\(462\) | 17233.3 | + | 47121.0i | 0.0807392 | + | 0.220765i | ||||
\(463\) | 223185. | + | 128856.i | 1.04113 | + | 0.601094i | 0.920152 | − | 0.391562i | \(-0.128065\pi\) |
0.120974 | + | 0.992656i | \(0.461398\pi\) | |||||||
\(464\) | −32714.3 | + | 57481.8i | −0.151950 | + | 0.266990i | ||||
\(465\) | 199661. | − | 72670.8i | 0.923396 | − | 0.336089i | ||||
\(466\) | 280630. | + | 234737.i | 1.29230 | + | 1.08096i | ||||
\(467\) | −228783. | + | 132088.i | −1.04903 | + | 0.605660i | −0.922379 | − | 0.386287i | \(-0.873758\pi\) |
−0.126655 | + | 0.991947i | \(0.540424\pi\) | |||||||
\(468\) | 159395. | + | 274117.i | 0.727751 | + | 1.25154i | ||||
\(469\) | 28317.5 | − | 160597.i | 0.128739 | − | 0.730114i | ||||
\(470\) | 3130.02 | − | 8641.27i | 0.0141694 | − | 0.0391184i | ||||
\(471\) | 72951.3 | − | 86940.0i | 0.328845 | − | 0.391902i | ||||
\(472\) | 326389. | − | 59115.3i | 1.46505 | − | 0.265348i | ||||
\(473\) | −54720.9 | − | 19916.8i | −0.244586 | − | 0.0890219i | ||||
\(474\) | 294131. | + | 507633.i | 1.30913 | + | 2.25940i | ||||
\(475\) | 29562.4 | − | 185376.i | 0.131025 | − | 0.821611i | ||||
\(476\) | 226380. | + | 129768.i | 0.999135 | + | 0.572734i | ||||
\(477\) | −387078. | − | 140885.i | −1.70123 | − | 0.619196i | ||||
\(478\) | 190436. | + | 226241.i | 0.833478 | + | 0.990184i | ||||
\(479\) | 210409. | − | 250756.i | 0.917052 | − | 1.09290i | −0.0783324 | − | 0.996927i | \(-0.524960\pi\) |
0.995384 | − | 0.0959723i | \(-0.0305960\pi\) | |||||||
\(480\) | −149771. | + | 27605.5i | −0.650048 | + | 0.119816i | ||||
\(481\) | 31793.7 | − | 180311.i | 0.137420 | − | 0.779350i | ||||
\(482\) | −91346.5 | + | 141.395i | −0.393186 | + | 0.000608611i | ||||
\(483\) | 106156. | − | 61288.9i | 0.455039 | − | 0.262717i | ||||
\(484\) | 38407.8 | − | 221835.i | 0.163957 | − | 0.946978i | ||||
\(485\) | −136982. | + | 49857.2i | −0.582342 | + | 0.211955i | ||||
\(486\) | −211070. | − | 121426.i | −0.893623 | − | 0.514091i | ||||
\(487\) | −242387. | − | 139942.i | −1.02200 | − | 0.590052i | −0.107318 | − | 0.994225i | \(-0.534226\pi\) |
−0.914683 | + | 0.404172i | \(0.867560\pi\) | |||||||
\(488\) | 34140.8 | − | 199022.i | 0.143362 | − | 0.835722i | ||||
\(489\) | 161715. | − | 135695.i | 0.676288 | − | 0.567473i | ||||
\(490\) | 7694.93 | − | 44038.6i | 0.0320489 | − | 0.183418i | ||||
\(491\) | 305590. | − | 53883.7i | 1.26758 | − | 0.223509i | 0.500882 | − | 0.865516i | \(-0.333009\pi\) |
0.766699 | + | 0.642007i | \(0.221898\pi\) | |||||||
\(492\) | 151753. | + | 179719.i | 0.626911 | + | 0.742444i | ||||
\(493\) | −116398. | −0.478907 | ||||||||
\(494\) | 220697. | − | 3959.63i | 0.904363 | − | 0.0162256i | ||||
\(495\) | − | 31718.8i | − | 0.129451i | ||||||
\(496\) | 359778. | − | 65737.9i | 1.46242 | − | 0.267210i | ||||
\(497\) | 14045.6 | + | 79656.5i | 0.0568627 | + | 0.322484i | ||||
\(498\) | −105556. | + | 604104.i | −0.425622 | + | 2.43586i | ||||
\(499\) | −11085.1 | − | 13210.8i | −0.0445185 | − | 0.0530551i | 0.743326 | − | 0.668930i | \(-0.233247\pi\) |
−0.787844 | + | 0.615875i | \(0.788803\pi\) | |||||||
\(500\) | 144180. | + | 120223.i | 0.576722 | + | 0.480893i | ||||
\(501\) | −202097. | + | 350043.i | −0.805166 | + | 1.39459i | ||||
\(502\) | −48150.0 | − | 27700.1i | −0.191068 | − | 0.109919i | ||||
\(503\) | −9368.01 | − | 25738.4i | −0.0370264 | − | 0.101729i | 0.919802 | − | 0.392383i | \(-0.128349\pi\) |
−0.956828 | + | 0.290654i | \(0.906127\pi\) | |||||||
\(504\) | −104036. | − | 281759.i | −0.409566 | − | 1.10922i | ||||
\(505\) | −63452.4 | − | 109903.i | −0.248809 | − | 0.430949i | ||||
\(506\) | 22282.0 | − | 34.4902i | 0.0870269 | − | 0.000134709i | ||||
\(507\) | −74242.3 | − | 13090.9i | −0.288825 | − | 0.0509277i | ||||
\(508\) | −310298. | + | 55705.0i | −1.20241 | + | 0.215857i | ||||
\(509\) | 199820. | + | 167669.i | 0.771264 | + | 0.647168i | 0.941032 | − | 0.338317i | \(-0.109857\pi\) |
−0.169768 | + | 0.985484i | \(0.554302\pi\) | |||||||
\(510\) | −172598. | − | 205049.i | −0.663584 | − | 0.788347i | ||||
\(511\) | 17107.7 | − | 47003.0i | 0.0655163 | − | 0.180005i | ||||
\(512\) | −262119. | + | 3651.82i | −0.999903 | + | 0.0139306i | ||||
\(513\) | 218620. | − | 131044.i | 0.830720 | − | 0.497948i | ||||
\(514\) | 177973. | + | 307159.i | 0.673639 | + | 1.16262i | ||||
\(515\) | −14987.0 | + | 41176.5i | −0.0565068 | + | 0.155251i | ||||
\(516\) | 532832. | + | 192069.i | 2.00120 | + | 0.721369i | ||||
\(517\) | 4100.96 | + | 3441.12i | 0.0153428 | + | 0.0128741i | ||||
\(518\) | −59063.6 | + | 163061.i | −0.220120 | + | 0.607701i | ||||
\(519\) | −376270. | − | 66346.5i | −1.39690 | − | 0.246311i | ||||
\(520\) | −49721.2 | + | 87050.7i | −0.183880 | + | 0.321933i | ||||
\(521\) | −6274.77 | − | 10868.2i | −0.0231165 | − | 0.0400389i | 0.854236 | − | 0.519886i | \(-0.174026\pi\) |
−0.877352 | + | 0.479847i | \(0.840692\pi\) | |||||||
\(522\) | 102769. | + | 85962.3i | 0.377155 | + | 0.315477i | ||||
\(523\) | −19840.9 | − | 54512.5i | −0.0725368 | − | 0.199293i | 0.898126 | − | 0.439738i | \(-0.144929\pi\) |
−0.970663 | + | 0.240445i | \(0.922707\pi\) | |||||||
\(524\) | −401.259 | − | 129614.i | −0.00146138 | − | 0.472051i | ||||
\(525\) | −136595. | + | 236590.i | −0.495583 | + | 0.858375i | ||||
\(526\) | −158035. | − | 432117.i | −0.571193 | − | 1.56181i | ||||
\(527\) | 413733. | + | 493067.i | 1.48970 | + | 1.77535i | ||||
\(528\) | 14862.9 | − | 87454.8i | 0.0533134 | − | 0.313701i | ||||
\(529\) | 39141.0 | + | 221980.i | 0.139869 | + | 0.793235i | ||||
\(530\) | −22812.8 | − | 128217.i | −0.0812131 | − | 0.456450i | ||||
\(531\) | − | 671939.i | − | 2.38309i | ||||||
\(532\) | −206573. | − | 32287.3i | −0.729878 | − | 0.114080i | ||||
\(533\) | 154836. | 0.545027 | ||||||||
\(534\) | 714842. | − | 127187.i | 2.50684 | − | 0.446026i | ||||
\(535\) | 68422.5 | − | 12064.7i | 0.239051 | − | 0.0421512i | ||||
\(536\) | −184302. | + | 221725.i | −0.641505 | + | 0.771766i | ||||
\(537\) | −84619.6 | + | 71004.3i | −0.293442 | + | 0.246227i | ||||
\(538\) | −400127. | + | 146336.i | −1.38240 | + | 0.505577i | ||||
\(539\) | 22551.7 | + | 13020.2i | 0.0776251 | + | 0.0448168i | ||||
\(540\) | 358.373 | + | 115761.i | 0.00122899 | + | 0.396986i | ||||
\(541\) | 393857. | − | 143352.i | 1.34569 | − | 0.489790i | 0.434087 | − | 0.900871i | \(-0.357071\pi\) |
0.911599 | + | 0.411081i | \(0.134849\pi\) | |||||||
\(542\) | 117240. | − | 140162.i | 0.399098 | − | 0.477124i | ||||
\(543\) | −558339. | + | 322357.i | −1.89364 | + | 1.09330i | ||||
\(544\) | −233758. | − | 397740.i | −0.789894 | − | 1.34401i | ||||
\(545\) | 18171.1 | − | 103054.i | 0.0611771 | − | 0.346953i | ||||
\(546\) | −302033. | − | 109402.i | −1.01314 | − | 0.366978i | ||||
\(547\) | −38013.3 | + | 45302.4i | −0.127046 | + | 0.151407i | −0.825817 | − | 0.563937i | \(-0.809286\pi\) |
0.698772 | + | 0.715345i | \(0.253730\pi\) | |||||||
\(548\) | −7035.26 | − | 2535.99i | −0.0234271 | − | 0.00844474i | ||||
\(549\) | −384388. | − | 139906.i | −1.27534 | − | 0.464185i | ||||
\(550\) | −42968.5 | + | 24896.6i | −0.142045 | + | 0.0823029i | ||||
\(551\) | 87107.2 | − | 33331.3i | 0.286914 | − | 0.109786i | ||||
\(552\) | −216720. | + | 1006.39i | −0.711249 | + | 0.00330284i | ||||
\(553\) | −343750. | − | 125115.i | −1.12407 | − | 0.409128i | ||||
\(554\) | 344886. | − | 290305.i | 1.12372 | − | 0.945877i | ||||
\(555\) | 114504. | − | 136461.i | 0.371737 | − | 0.443019i | ||||
\(556\) | 207940. | − | 37329.6i | 0.672649 | − | 0.120754i | ||||
\(557\) | 38352.1 | − | 217506.i | 0.123617 | − | 0.701068i | −0.858502 | − | 0.512810i | \(-0.828605\pi\) |
0.982120 | − | 0.188258i | \(-0.0602842\pi\) | |||||||
\(558\) | −1146.81 | − | 740883.i | −0.00368318 | − | 2.37948i | ||||
\(559\) | 322886. | − | 186418.i | 1.03330 | − | 0.596574i | ||||
\(560\) | 60586.3 | − | 73118.6i | 0.193196 | − | 0.233159i | ||||
\(561\) | 146703. | − | 53395.5i | 0.466137 | − | 0.169660i | ||||
\(562\) | −237361. | + | 412595.i | −0.751514 | + | 1.30633i | ||||
\(563\) | 111961. | + | 64640.8i | 0.353224 | + | 0.203934i | 0.666104 | − | 0.745858i | \(-0.267960\pi\) |
−0.312880 | + | 0.949793i | \(0.601294\pi\) | |||||||
\(564\) | −39990.8 | − | 33345.8i | −0.125719 | − | 0.104829i | ||||
\(565\) | −162812. | + | 136616.i | −0.510024 | + | 0.427961i | ||||
\(566\) | −259426. | − | 45329.9i | −0.809805 | − | 0.141498i | ||||
\(567\) | 9052.82 | − | 1596.26i | 0.0281590 | − | 0.00496520i | ||||
\(568\) | 48287.3 | − | 134610.i | 0.149670 | − | 0.417234i | ||||
\(569\) | −116975. | −0.361299 | −0.180649 | − | 0.983548i | \(-0.557820\pi\) | ||||
−0.180649 | + | 0.983548i | \(0.557820\pi\) | |||||||
\(570\) | 187882. | + | 104025.i | 0.578277 | + | 0.320177i | ||||
\(571\) | − | 78682.8i | − | 0.241328i | −0.992693 | − | 0.120664i | \(-0.961498\pi\) | ||
0.992693 | − | 0.120664i | \(-0.0385024\pi\) | |||||||
\(572\) | −37673.2 | − | 44615.9i | −0.115144 | − | 0.136363i | ||||
\(573\) | 26120.1 | + | 148134.i | 0.0795546 | + | 0.451177i | ||||
\(574\) | −144474. | − | 25244.2i | −0.438497 | − | 0.0766191i | ||||
\(575\) | 77985.4 | + | 92939.4i | 0.235873 | + | 0.281102i | ||||
\(576\) | −87352.6 | + | 523803.i | −0.263288 | + | 1.57878i | ||||
\(577\) | −293027. | + | 507538.i | −0.880150 | + | 1.52446i | −0.0289760 | + | 0.999580i | \(0.509225\pi\) |
−0.851174 | + | 0.524884i | \(0.824109\pi\) | |||||||
\(578\) | 238277. | − | 414187.i | 0.713224 | − | 1.23977i | ||||
\(579\) | 103074. | + | 283193.i | 0.307462 | + | 0.844746i | ||||
\(580\) | −7226.34 | + | 41737.8i | −0.0214814 | + | 0.124072i | ||||
\(581\) | −191188. | − | 331148.i | −0.566382 | − | 0.981002i | ||||
\(582\) | 1278.36 | + | 825866.i | 0.00377403 | + | 2.43817i | ||||
\(583\) | 74704.8 | + | 13172.5i | 0.219792 | + | 0.0387552i | ||||
\(584\) | −67481.7 | + | 57159.9i | −0.197861 | + | 0.167597i | ||||
\(585\) | 155569. | + | 130538.i | 0.454580 | + | 0.381438i | ||||
\(586\) | 69676.0 | − | 58649.2i | 0.202903 | − | 0.170792i | ||||
\(587\) | 77414.2 | − | 212694.i | 0.224670 | − | 0.617275i | −0.775227 | − | 0.631683i | \(-0.782364\pi\) |
0.999896 | + | 0.0144087i | \(0.00458659\pi\) | |||||||
\(588\) | −219737. | − | 125960.i | −0.635547 | − | 0.364315i | ||||
\(589\) | −450813. | − | 250516.i | −1.29947 | − | 0.722112i | ||||
\(590\) | 183811. | − | 106503.i | 0.528040 | − | 0.305955i | ||||
\(591\) | −205731. | + | 565242.i | −0.589014 | + | 1.61830i | ||||
\(592\) | 233666. | − | 198547.i | 0.666733 | − | 0.566527i | ||||
\(593\) | 59836.1 | + | 50208.4i | 0.170158 | + | 0.142780i | 0.723890 | − | 0.689915i | \(-0.242352\pi\) |
−0.553732 | + | 0.832695i | \(0.686797\pi\) | |||||||
\(594\) | −63398.4 | − | 22964.1i | −0.179682 | − | 0.0650843i | ||||
\(595\) | 164577. | + | 29019.4i | 0.464874 | + | 0.0819699i | ||||
\(596\) | −180427. | − | 310287.i | −0.507937 | − | 0.873517i | ||||
\(597\) | 507230. | + | 878548.i | 1.42317 | + | 2.46500i | ||||
\(598\) | −91531.5 | + | 109427.i | −0.255958 | + | 0.305999i | ||||
\(599\) | −9067.36 | − | 24912.4i | −0.0252713 | − | 0.0694323i | 0.926415 | − | 0.376503i | \(-0.122873\pi\) |
−0.951687 | + | 0.307071i | \(0.900651\pi\) | |||||||
\(600\) | 417175. | − | 243446.i | 1.15882 | − | 0.676238i | ||||
\(601\) | 11742.5 | − | 20338.6i | 0.0325097 | − | 0.0563084i | −0.849313 | − | 0.527890i | \(-0.822983\pi\) |
0.881822 | + | 0.471582i | \(0.156317\pi\) | |||||||
\(602\) | −331671. | + | 121300.i | −0.915196 | + | 0.334709i | ||||
\(603\) | 375430. | + | 447420.i | 1.03251 | + | 1.23050i | ||||
\(604\) | −227067. | − | 617903.i | −0.622415 | − | 1.69374i | ||||
\(605\) | −25037.9 | − | 141997.i | −0.0684050 | − | 0.387944i | ||||
\(606\) | −707855. | + | 125944.i | −1.92752 | + | 0.342951i | ||||
\(607\) | − | 444345.i | − | 1.20599i | −0.797746 | − | 0.602994i | \(-0.793974\pi\) | ||
0.797746 | − | 0.602994i | \(-0.206026\pi\) | |||||||
\(608\) | 288830. | + | 230713.i | 0.781331 | + | 0.624117i | ||||
\(609\) | −135733. | −0.365974 | ||||||||
\(610\) | −22654.2 | − | 127326.i | −0.0608821 | − | 0.342181i | ||||
\(611\) | −33754.7 | + | 5951.86i | −0.0904173 | + | 0.0159430i | ||||
\(612\) | −877213. | + | 322358.i | −2.34208 | + | 0.860669i | ||||
\(613\) | 383769. | − | 322021.i | 1.02129 | − | 0.856965i | 0.0315017 | − | 0.999504i | \(-0.489971\pi\) |
0.989789 | + | 0.142539i | \(0.0455266\pi\) | |||||||
\(614\) | 19747.8 | + | 53996.5i | 0.0523821 | + | 0.143228i | ||||
\(615\) | 130463. | + | 75322.7i | 0.344934 | + | 0.199148i | ||||
\(616\) | 27877.9 | + | 47772.3i | 0.0734681 | + | 0.125897i | ||||
\(617\) | 43358.5 | − | 15781.2i | 0.113895 | − | 0.0414544i | −0.284444 | − | 0.958693i | \(-0.591809\pi\) |
0.398339 | + | 0.917238i | \(0.369587\pi\) | |||||||
\(618\) | 190421. | + | 159281.i | 0.498584 | + | 0.417048i | ||||
\(619\) | −302967. | + | 174918.i | −0.790705 | + | 0.456514i | −0.840211 | − | 0.542260i | \(-0.817569\pi\) |
0.0495056 | + | 0.998774i | \(0.484235\pi\) | |||||||
\(620\) | 202489. | − | 117744.i | 0.526767 | − | 0.306307i | ||||
\(621\) | −28606.0 | + | 162233.i | −0.0741777 | + | 0.420683i | ||||
\(622\) | 18969.4 | − | 52370.0i | 0.0490312 | − | 0.135364i | ||||
\(623\) | −291001. | + | 346801.i | −0.749753 | + | 0.893521i | ||||
\(624\) | 367764. | + | 432814.i | 0.944497 | + | 1.11156i | ||||
\(625\) | −192418. | − | 70034.5i | −0.492591 | − | 0.179288i | ||||
\(626\) | 116879. | + | 201718.i | 0.298255 | + | 0.514750i | ||||
\(627\) | −94496.2 | + | 81968.3i | −0.240369 | + | 0.208502i | ||||
\(628\) | 62221.5 | − | 108545.i | 0.157769 | − | 0.275228i | ||||
\(629\) | 507089. | + | 184565.i | 1.28169 | + | 0.466497i | ||||
\(630\) | −123875. | − | 147165.i | −0.312106 | − | 0.370787i | ||||
\(631\) | 30895.7 | − | 36820.0i | 0.0775959 | − | 0.0924752i | −0.725850 | − | 0.687853i | \(-0.758553\pi\) |
0.803446 | + | 0.595378i | \(0.202998\pi\) | |||||||
\(632\) | 418032. | + | 493519.i | 1.04659 | + | 1.23558i | ||||
\(633\) | 151544. | − | 859446.i | 0.378208 | − | 2.14492i | ||||
\(634\) | −19322.9 | + | 29.9098i | −0.0480721 | + | 7.44106e-5i | ||||
\(635\) | −174857. | + | 100954.i | −0.433645 | + | 0.250365i | ||||
\(636\) | −726998. | − | 125870.i | −1.79729 | − | 0.311177i | ||||
\(637\) | −156670. | + | 57023.2i | −0.386106 | + | 0.140531i | ||||
\(638\) | −21386.8 | − | 12303.6i | −0.0525417 | − | 0.0302266i | ||||
\(639\) | −250887. | − | 144849.i | −0.614435 | − | 0.354744i | ||||
\(640\) | −157133. | + | 59127.7i | −0.383626 | + | 0.144355i | ||||
\(641\) | 81942.7 | − | 68758.1i | 0.199432 | − | 0.167343i | −0.537603 | − | 0.843198i | \(-0.680670\pi\) |
0.737034 | + | 0.675855i | \(0.236226\pi\) | |||||||
\(642\) | 67752.0 | − | 387749.i | 0.164381 | − | 0.940765i | ||||
\(643\) | −273954. | + | 48305.5i | −0.662607 | + | 0.116835i | −0.494830 | − | 0.868990i | \(-0.664770\pi\) |
−0.167777 | + | 0.985825i | \(0.553659\pi\) | |||||||
\(644\) | 103247. | − | 87180.3i | 0.248946 | − | 0.210207i | ||||
\(645\) | 362745. | 0.871931 | ||||||||
\(646\) | −101459. | + | 642609.i | −0.243123 | + | 1.53986i | ||||
\(647\) | − | 537299.i | − | 1.28353i | −0.766900 | − | 0.641767i | \(-0.778202\pi\) | ||
0.766900 | − | 0.641767i | \(-0.221798\pi\) | |||||||
\(648\) | −15298.2 | − | 5487.76i | −0.0364325 | − | 0.0130691i | ||||
\(649\) | 21487.4 | + | 121861.i | 0.0510146 | + | 0.289318i | ||||
\(650\) | 54726.7 | − | 313205.i | 0.129531 | − | 0.741313i | ||||
\(651\) | 482457. | + | 574970.i | 1.13841 | + | 1.35670i | ||||
\(652\) | 149038. | − | 178738.i | 0.350592 | − | 0.420456i | ||||
\(653\) | −81114.5 | + | 140494.i | −0.190227 | + | 0.329483i | −0.945325 | − | 0.326129i | \(-0.894256\pi\) |
0.755098 | + | 0.655611i | \(0.227589\pi\) | |||||||
\(654\) | −513883. | − | 295631.i | −1.20146 | − | 0.691185i | ||||
\(655\) | −28391.6 | − | 78005.2i | −0.0661770 | − | 0.181820i | ||||
\(656\) | 199668. | + | 165446.i | 0.463983 | + | 0.384457i | ||||
\(657\) | 89575.0 | + | 155148.i | 0.207518 | + | 0.359432i | ||||
\(658\) | 32466.1 | − | 50.2542i | 0.0749857 | − | 0.000116070i | ||||
\(659\) | −510112. | − | 89946.5i | −1.17461 | − | 0.207116i | −0.447917 | − | 0.894075i | \(-0.647834\pi\) |
−0.726696 | + | 0.686959i | \(0.758945\pi\) | |||||||
\(660\) | −10038.7 | − | 55919.5i | −0.0230457 | − | 0.128374i | ||||
\(661\) | 351205. | + | 294696.i | 0.803817 | + | 0.674483i | 0.949124 | − | 0.314904i | \(-0.101972\pi\) |
−0.145306 | + | 0.989387i | \(0.546417\pi\) | |||||||
\(662\) | 231045. | + | 274485.i | 0.527207 | + | 0.626330i | ||||
\(663\) | −341866. | + | 939269.i | −0.777730 | + | 2.13679i | ||||
\(664\) | 3139.39 | + | 676051.i | 0.00712048 | + | 1.53336i | ||||
\(665\) | −131472. | + | 25410.8i | −0.297298 | + | 0.0574613i | ||||
\(666\) | −311407. | − | 537450.i | −0.702070 | − | 1.21169i | ||||
\(667\) | −20616.6 | + | 56643.6i | −0.0463409 | + | 0.127321i | ||||
\(668\) | −151103. | + | 419184.i | −0.338625 | + | 0.939404i | ||||
\(669\) | 124151. | + | 104175.i | 0.277394 | + | 0.232761i | ||||
\(670\) | −62887.1 | + | 173617.i | −0.140092 | + | 0.386760i | ||||
\(671\) | 74185.5 | + | 13080.9i | 0.164769 | + | 0.0290531i | ||||
\(672\) | −272588. | − | 463808.i | −0.603625 | − | 1.02707i | ||||
\(673\) | −317579. | − | 550062.i | −0.701167 | − | 1.21446i | −0.968057 | − | 0.250729i | \(-0.919330\pi\) |
0.266891 | − | 0.963727i | \(-0.414004\pi\) | |||||||
\(674\) | −310216. | − | 259485.i | −0.682880 | − | 0.571206i | ||||
\(675\) | −125572. | − | 345005.i | −0.275603 | − | 0.757213i | ||||
\(676\) | −83107.4 | + | 257.284i | −0.181864 | + | 0.000563014i | ||||
\(677\) | 389470. | − | 674582.i | 0.849762 | − | 1.47183i | −0.0316595 | − | 0.999499i | \(-0.510079\pi\) |
0.881421 | − | 0.472331i | \(-0.156587\pi\) | |||||||
\(678\) | 413582. | + | 1.13086e6i | 0.899710 | + | 2.46008i | ||||
\(679\) | −330999. | − | 394469.i | −0.717939 | − | 0.855606i | ||||
\(680\) | −227221. | − | 188870.i | −0.491395 | − | 0.408456i | ||||
\(681\) | 60708.8 | + | 344297.i | 0.130905 | + | 0.742401i | ||||
\(682\) | 23900.1 | + | 134328.i | 0.0513844 | + | 0.288801i | ||||
\(683\) | − | 200843.i | − | 0.430542i | −0.976554 | − | 0.215271i | \(-0.930937\pi\) | ||
0.976554 | − | 0.215271i | \(-0.0690635\pi\) | |||||||
\(684\) | 564160. | − | 492435.i | 1.20584 | − | 1.05254i | ||||
\(685\) | −4789.52 | −0.0102073 | ||||||||
\(686\) | 497755. | − | 88562.2i | 1.05771 | − | 0.188192i | ||||
\(687\) | −914426. | + | 161238.i | −1.93747 | + | 0.341628i | ||||
\(688\) | 615568. | + | 104616.i | 1.30047 | + | 0.221014i | ||||
\(689\) | −372050. | + | 312187.i | −0.783724 | + | 0.657622i | ||||
\(690\) | −130356. | + | 47674.2i | −0.273799 | + | 0.100135i | ||||
\(691\) | 237701. | + | 137237.i | 0.497823 | + | 0.287418i | 0.727814 | − | 0.685775i | \(-0.240536\pi\) |
−0.229991 | + | 0.973193i | \(0.573870\pi\) | |||||||
\(692\) | −421199. | + | 1303.95i | −0.879580 | + | 0.00272300i | ||||
\(693\) | 105290. | − | 38322.4i | 0.219240 | − | 0.0797969i | ||||
\(694\) | 135823. | − | 162378.i | 0.282004 | − | 0.337138i | ||||
\(695\) | 117177. | − | 67651.9i | 0.242589 | − | 0.140059i | ||||
\(696\) | 208385. | + | 119024.i | 0.430177 | + | 0.245706i | ||||
\(697\) | −79244.6 | + | 449419.i | −0.163119 | + | 0.925093i | ||||
\(698\) | −356569. | − | 129156.i | −0.731869 | − | 0.265096i | ||||
\(699\) | 853301. | − | 1.01692e6i | 1.74642 | − | 2.08130i | ||||
\(700\) | −102128. | + | 283322.i | −0.208425 | + | 0.578207i | ||||
\(701\) | 743456. | + | 270596.i | 1.51293 | + | 0.550662i | 0.959371 | − | 0.282147i | \(-0.0910465\pi\) |
0.553560 | + | 0.832809i | \(0.313269\pi\) | |||||||
\(702\) | 373544. | − | 216437.i | 0.757996 | − | 0.439195i | ||||
\(703\) | −432335. | + | 7087.33i | −0.874803 | + | 0.0143408i | ||||
\(704\) | −908.228 | − | 97789.0i | −0.00183252 | − | 0.197308i | ||||
\(705\) | −31336.6 | − | 11405.6i | −0.0630483 | − | 0.0229477i | ||||
\(706\) | 249601. | − | 210099.i | 0.500768 | − | 0.421517i | ||||
\(707\) | 288157. | − | 343412.i | 0.576488 | − | 0.687031i | ||||
\(708\) | −212662. | − | 1.18461e6i | −0.424252 | − | 2.36325i | ||||
\(709\) | −49185.1 | + | 278943.i | −0.0978456 | + | 0.554910i | 0.895993 | + | 0.444069i | \(0.146466\pi\) |
−0.993838 | + | 0.110841i | \(0.964646\pi\) | |||||||
\(710\) | −141.771 | − | 91589.6i | −0.000281236 | − | 0.181689i | ||||
\(711\) | 1.13466e6 | − | 655096.i | 2.24453 | − | 1.29588i | ||||
\(712\) | 750872. | − | 277250.i | 1.48117 | − | 0.546905i | ||||
\(713\) | 313226. | − | 114005.i | 0.616139 | − | 0.224256i | ||||
\(714\) | 472124. | − | 820673.i | 0.926103 | − | 1.60981i | ||||
\(715\) | −32387.9 | − | 18699.2i | −0.0633535 | − | 0.0365772i | ||||
\(716\) | −77986.4 | + | 93527.0i | −0.152122 | + | 0.182436i | ||||
\(717\) | 821968. | − | 689713.i | 1.59888 | − | 1.34162i | ||||
\(718\) | 101569. | + | 17747.3i | 0.197021 | + | 0.0344257i | ||||
\(719\) | −660766. | + | 116511.i | −1.27817 | + | 0.225376i | −0.771204 | − | 0.636588i | \(-0.780345\pi\) |
−0.506969 | + | 0.861964i | \(0.669234\pi\) | |||||||
\(720\) | 61130.7 | + | 334563.i | 0.117922 | + | 0.645376i | ||||
\(721\) | −154791. | −0.297767 | ||||||||
\(722\) | −108088. | − | 509955.i | −0.207349 | − | 0.978267i | ||||
\(723\) | 331444.i | 0.634066i | ||||||||
\(724\) | −543039. | + | 458536.i | −1.03599 | + | 0.874775i | ||||
\(725\) | −23328.6 | − | 132303.i | −0.0443826 | − | 0.251706i | ||||
\(726\) | −804696. | − | 140606.i | −1.52672 | − | 0.266765i | ||||
\(727\) | 271689. | + | 323787.i | 0.514048 | + | 0.612619i | 0.959163 | − | 0.282855i | \(-0.0912815\pi\) |
−0.445115 | + | 0.895474i | \(0.646837\pi\) | |||||||
\(728\) | −349035. | − | 59874.4i | −0.658576 | − | 0.112974i | ||||
\(729\) | −431486. | + | 747356.i | −0.811917 | + | 1.40628i | ||||
\(730\) | −28243.6 | + | 49094.7i | −0.0529998 | + | 0.0921274i | ||||
\(731\) | 375835. | + | 1.03260e6i | 0.703335 | + | 1.93240i | ||||
\(732\) | −721945. | − | 124995.i | −1.34735 | − | 0.233276i | ||||
\(733\) | 189120. | + | 327566.i | 0.351990 | + | 0.609664i | 0.986598 | − | 0.163170i | \(-0.0521719\pi\) |
−0.634608 | + | 0.772834i | \(0.718839\pi\) | |||||||
\(734\) | −4.53301 | − | 2928.50i | −8.41386e−6 | − | 0.00543567i | ||||
\(735\) | −159748. | − | 28167.8i | −0.295706 | − | 0.0521409i | ||||
\(736\) | −234959. | + | 43307.2i | −0.433747 | + | 0.0799474i | ||||
\(737\) | −82394.8 | − | 69137.4i | −0.151693 | − | 0.127285i | ||||
\(738\) | 401871. | − | 338271.i | 0.737860 | − | 0.621087i | ||||
\(739\) | 139181. | − | 382396.i | 0.254853 | − | 0.700204i | −0.744612 | − | 0.667498i | \(-0.767365\pi\) |
0.999465 | − | 0.0327059i | \(-0.0104125\pi\) | |||||||
\(740\) | 97662.8 | − | 170373.i | 0.178347 | − | 0.311126i | ||||
\(741\) | −13127.7 | − | 800804.i | −0.0239085 | − | 1.45844i | ||||
\(742\) | 398050. | − | 230636.i | 0.722986 | − | 0.418910i | ||||
\(743\) | −197239. | + | 541910.i | −0.357286 | + | 0.981635i | 0.622681 | + | 0.782476i | \(0.286043\pi\) |
−0.979967 | + | 0.199159i | \(0.936179\pi\) | |||||||
\(744\) | −236504. | − | 1.30580e6i | −0.427261 | − | 2.35901i | ||||
\(745\) | −176096. | − | 147762.i | −0.317276 | − | 0.266227i | ||||
\(746\) | −622337. | − | 225422.i | −1.11827 | − | 0.405059i | ||||
\(747\) | 1.34871e6 | + | 237815.i | 2.41701 | + | 0.426184i | ||||
\(748\) | 148781. | − | 86513.8i | 0.265915 | − | 0.154626i | ||||
\(749\) | 122716. | + | 212550.i | 0.218745 | + | 0.378877i | ||||
\(750\) | 437030. | − | 522472.i | 0.776942 | − | 0.928840i | ||||
\(751\) | 42072.6 | + | 115594.i | 0.0745967 | + | 0.204953i | 0.971387 | − | 0.237504i | \(-0.0763292\pi\) |
−0.896790 | + | 0.442457i | \(0.854107\pi\) | |||||||
\(752\) | −49887.9 | − | 28392.4i | −0.0882185 | − | 0.0502073i | ||||
\(753\) | −100778. | + | 174553.i | −0.177736 | + | 0.307848i | ||||
\(754\) | 148361. | − | 54259.0i | 0.260961 | − | 0.0954398i | ||||
\(755\) | −271005. | − | 322972.i | −0.475427 | − | 0.566592i | ||||
\(756\) | −383832. | + | 141051.i | −0.671580 | + | 0.246792i | ||||
\(757\) | −44611.0 | − | 253001.i | −0.0778485 | − | 0.441501i | −0.998672 | − | 0.0515209i | \(-0.983593\pi\) |
0.920823 | − | 0.389980i | \(-0.127518\pi\) | |||||||
\(758\) | 713696. | − | 126983.i | 1.24215 | − | 0.221008i | ||||
\(759\) | − | 80848.7i | − | 0.140343i | ||||||
\(760\) | 224127. | + | 76276.2i | 0.388031 | + | 0.132057i | ||||
\(761\) | 667985. | 1.15345 | 0.576723 | − | 0.816940i | \(-0.304331\pi\) | ||||
0.576723 | + | 0.816940i | \(0.304331\pi\) | |||||||
\(762\) | 200378. | + | 1.12621e6i | 0.345097 | + | 1.93958i | ||||
\(763\) | 364038. | − | 64189.7i | 0.625313 | − | 0.110260i | ||||
\(764\) | 57197.1 | + | 155647.i | 0.0979913 | + | 0.266657i | ||||
\(765\) | −458510. | + | 384736.i | −0.783477 | + | 0.657415i | ||||
\(766\) | 37398.8 | + | 102260.i | 0.0637383 | + | 0.174280i | ||||
\(767\) | −686112. | − | 396127.i | −1.16628 | − | 0.673354i | ||||
\(768\) | 11778.2 | + | 951097.i | 0.0199690 | + | 1.61251i | ||||
\(769\) | −1.00825e6 | + | 366972.i | −1.70496 | + | 0.620554i | −0.996375 | − | 0.0850724i | \(-0.972888\pi\) |
−0.708584 | + | 0.705627i | \(0.750666\pi\) | |||||||
\(770\) | 27171.7 | + | 22728.2i | 0.0458285 | + | 0.0383340i | ||||
\(771\) | 1.11550e6 | − | 644035.i | 1.87656 | − | 1.08343i | ||||
\(772\) | 167005. | + | 287204.i | 0.280217 | + | 0.481899i | ||||
\(773\) | 31114.4 | − | 176458.i | 0.0520718 | − | 0.295314i | −0.947640 | − | 0.319342i | \(-0.896538\pi\) |
0.999711 | + | 0.0240284i | \(0.00764921\pi\) | |||||||
\(774\) | 430768. | − | 1.18925e6i | 0.719055 | − | 1.98514i | ||||
\(775\) | −477521. | + | 569088.i | −0.795041 | + | 0.947493i | ||||
\(776\) | 162258. | + | 895866.i | 0.269453 | + | 1.48771i | ||||
\(777\) | 591321. | + | 215223.i | 0.979448 | + | 0.356490i | ||||
\(778\) | 386058. | + | 666287.i | 0.637812 | + | 1.10078i | ||||
\(779\) | −69390.6 | − | 359018.i | −0.114347 | − | 0.591618i | ||||
\(780\) | 315577. | + | 180898.i | 0.518700 | + | 0.297335i | ||||
\(781\) | 50132.2 | + | 18246.6i | 0.0821892 | + | 0.0299144i | ||||
\(782\) | −270770. | − | 321678.i | −0.442779 | − | 0.526027i | ||||
\(783\) | 117254. | − | 139737.i | 0.191251 | − | 0.227923i | ||||
\(784\) | −262963. | − | 93871.1i | −0.427822 | − | 0.152721i | ||||
\(785\) | 13914.3 | − | 78912.0i | 0.0225799 | − | 0.128057i | ||||
\(786\) | −470296. | + | 727.970i | −0.761248 | + | 0.00117833i | ||||
\(787\) | 137272. | − | 79254.3i | 0.221633 | − | 0.127960i | −0.385073 | − | 0.922886i | \(-0.625824\pi\) |
0.606706 | + | 0.794926i | \(0.292491\pi\) | |||||||
\(788\) | −113127. | + | 653396.i | −0.182185 | + | 1.05226i | ||||
\(789\) | −1.56879e6 | + | 570992.i | −2.52006 | + | 0.917226i | ||||
\(790\) | 359048. | + | 206556.i | 0.575305 | + | 0.330966i | ||||
\(791\) | −650201. | − | 375394.i | −1.03919 | − | 0.599976i | ||||
\(792\) | −195252. | − | 33494.1i | −0.311276 | − | 0.0533971i | ||||
\(793\) | −369464. | + | 310017.i | −0.587525 | + | 0.492992i | ||||
\(794\) | −74959.1 | + | 428996.i | −0.118900 | + | 0.680475i | ||||
\(795\) | −465353. | + | 82054.2i | −0.736288 | + | 0.129828i | ||||
\(796\) | 721508. | + | 854474.i | 1.13872 | + | 1.34857i | ||||
\(797\) | −136117. | −0.214287 | −0.107144 | − | 0.994244i | \(-0.534170\pi\) | ||||
−0.107144 | + | 0.994244i | \(0.534170\pi\) | |||||||
\(798\) | −118312. | + | 749353.i | −0.185791 | + | 1.17674i | ||||
\(799\) | − | 101021.i | − | 0.158240i | ||||||
\(800\) | 405239. | − | 345415.i | 0.633185 | − | 0.539711i | ||||
\(801\) | −281562. | − | 1.59682e6i | −0.438843 | − | 2.48880i | ||||
\(802\) | −106406. | + | 608969.i | −0.165431 | + | 0.946774i | ||||
\(803\) | −21206.5 | − | 25272.9i | −0.0328880 | − | 0.0391944i | ||||
\(804\) | 803478. | + | 669970.i | 1.24297 | + | 1.03644i | ||||
\(805\) | 43272.1 | − | 74949.5i | 0.0667754 | − | 0.115658i | ||||
\(806\) | −757187. | − | 435601.i | −1.16556 | − | 0.670530i | ||||
\(807\) | 528722. | + | 1.45265e6i | 0.811859 | + | 2.23056i | ||||
\(808\) | −743533. | + | 274541.i | −1.13888 | + | 0.420517i | ||||
\(809\) | −115839. | − | 200640.i | −0.176994 | − | 0.306563i | 0.763855 | − | 0.645387i | \(-0.223304\pi\) |
−0.940850 | + | 0.338824i | \(0.889971\pi\) | |||||||
\(810\) | −10409.0 | + | 16.1120i | −0.0158649 | + | 2.45573e-5i | ||||
\(811\) | −510248. | − | 89970.5i | −0.775782 | − | 0.136791i | −0.228280 | − | 0.973596i | \(-0.573310\pi\) |
−0.547502 | + | 0.836804i | \(0.684421\pi\) | |||||||
\(812\) | −147278. | + | 26439.5i | −0.223371 | + | 0.0400997i | ||||
\(813\) | −507908. | − | 426185.i | −0.768429 | − | 0.644788i | ||||
\(814\) | 73662.7 | + | 87512.4i | 0.111173 | + | 0.132075i | ||||
\(815\) | 50976.9 | − | 140058.i | 0.0767464 | − | 0.210859i | ||||
\(816\) | −1.44448e6 | + | 845939.i | −2.16936 | + | 1.27045i | ||||
\(817\) | −576950. | − | 665130.i | −0.864359 | − | 0.996465i | ||||
\(818\) | −220044. | − | 379768.i | −0.328854 | − | 0.567561i | ||||
\(819\) | −245360. | + | 674120.i | −0.365793 | + | 1.00501i | ||||
\(820\) | 156232. | + | 56316.7i | 0.232350 | + | 0.0837548i | ||||
\(821\) | 865312. | + | 726083.i | 1.28377 | + | 1.07721i | 0.992713 | + | 0.120502i | \(0.0384504\pi\) |
0.291054 | + | 0.956707i | \(0.405994\pi\) | |||||||
\(822\) | −9241.15 | + | 25512.7i | −0.0136767 | + | 0.0377583i | ||||
\(823\) | −938386. | − | 165463.i | −1.38542 | − | 0.244287i | −0.569282 | − | 0.822142i | \(-0.692779\pi\) |
−0.816139 | + | 0.577855i | \(0.803890\pi\) | |||||||
\(824\) | 237645. | + | 135737.i | 0.350005 | + | 0.199914i | ||||
\(825\) | 90094.1 | + | 156048.i | 0.132370 | + | 0.229271i | ||||
\(826\) | 575612. | + | 481479.i | 0.843664 | + | 0.705696i | ||||
\(827\) | −154134. | − | 423479.i | −0.225365 | − | 0.619186i | 0.774546 | − | 0.632518i | \(-0.217978\pi\) |
−0.999911 | + | 0.0133317i | \(0.995756\pi\) | |||||||
\(828\) | 1498.31 | + | 483982.i | 0.00218545 | + | 0.705941i | ||||
\(829\) | 523058. | − | 905963.i | 0.761098 | − | 1.31826i | −0.181187 | − | 0.983449i | \(-0.557994\pi\) |
0.942285 | − | 0.334812i | \(-0.108673\pi\) | |||||||
\(830\) | 148718. | + | 406639.i | 0.215877 | + | 0.590272i | ||||
\(831\) | −1.05141e6 | − | 1.25302e6i | −1.52255 | − | 1.81450i | ||||
\(832\) | 483355. | + | 397992.i | 0.698263 | + | 0.574947i | ||||
\(833\) | −85329.0 | − | 483925.i | −0.122972 | − | 0.697410i | ||||
\(834\) | −134280. | − | 754704.i | −0.193053 | − | 1.08504i | ||||
\(835\) | 285375.i | 0.409302i | ||||||||
\(836\) | −86567.4 | + | 107348.i | −0.123863 | + | 0.153596i | ||||
\(837\) | −1.00871e6 | −1.43984 | ||||||||
\(838\) | −404938. | + | 72048.0i | −0.576635 | + | 0.102597i | ||||
\(839\) | 550108. | − | 96998.9i | 0.781491 | − | 0.137798i | 0.231351 | − | 0.972870i | \(-0.425685\pi\) |
0.550140 | + | 0.835072i | \(0.314574\pi\) | |||||||
\(840\) | −264965. | − | 220243.i | −0.375517 | − | 0.312136i | ||||
\(841\) | −490677. | + | 411727.i | −0.693751 | + | 0.582126i | ||||
\(842\) | 1.28583e6 | − | 470258.i | 1.81367 | − | 0.663304i | ||||
\(843\) | 1.49574e6 | + | 863563.i | 2.10475 | + | 1.21518i | ||||
\(844\) | −2978.38 | − | 962071.i | −0.00418114 | − | 1.35059i | ||||
\(845\) | −50016.3 | + | 18204.4i | −0.0700484 | + | 0.0254955i | ||||
\(846\) | −74605.9 | + | 89191.8i | −0.104239 | + | 0.124619i | ||||
\(847\) | 441105. | − | 254672.i | 0.614859 | − | 0.354989i | ||||
\(848\) | −813355. | + | 5036.02i | −1.13107 | + | 0.00700318i | ||||
\(849\) | −165933. | + | 941053.i | −0.230206 | + | 1.30556i | ||||
\(850\) | 881081. | + | 319144.i | 1.21949 | + | 0.441721i | ||||
\(851\) | 179633. | − | 214078.i | 0.248043 | − | 0.295606i | ||||
\(852\) | −488150. | − | 175963.i | −0.672472 | − | 0.242405i | ||||
\(853\) | −621347. | − | 226152.i | −0.853958 | − | 0.310815i | −0.122305 | − | 0.992493i | \(-0.539029\pi\) |
−0.731653 | + | 0.681677i | \(0.761251\pi\) | |||||||
\(854\) | 395283. | − | 229033.i | 0.541992 | − | 0.314039i | ||||
\(855\) | 232958. | − | 419217.i | 0.318673 | − | 0.573465i | ||||
\(856\) | −2015.04 | − | 433929.i | −0.00275003 | − | 0.592204i | ||||
\(857\) | 18617.5 | + | 6776.23i | 0.0253490 | + | 0.00922628i | 0.354664 | − | 0.934994i | \(-0.384595\pi\) |
−0.329315 | + | 0.944220i | \(0.606818\pi\) | |||||||
\(858\) | −162097. | + | 136444.i | −0.220192 | + | 0.185344i | ||||
\(859\) | 26996.4 | − | 32173.0i | 0.0365864 | − | 0.0436019i | −0.747441 | − | 0.664328i | \(-0.768718\pi\) |
0.784027 | + | 0.620726i | \(0.213162\pi\) | |||||||
\(860\) | 393600. | − | 70659.4i | 0.532180 | − | 0.0955373i | ||||
\(861\) | −92407.9 | + | 524071.i | −0.124653 | + | 0.706943i | ||||
\(862\) | 326.051 | + | 210641.i | 0.000438804 | + | 0.283484i | ||||
\(863\) | −428508. | + | 247399.i | −0.575357 | + | 0.332182i | −0.759286 | − | 0.650757i | \(-0.774452\pi\) |
0.183929 | + | 0.982940i | \(0.441118\pi\) | |||||||
\(864\) | 712969. | + | 120034.i | 0.955088 | + | 0.160796i | ||||
\(865\) | −253489. | + | 92262.6i | −0.338788 | + | 0.123309i | ||||
\(866\) | 396207. | − | 688711.i | 0.528307 | − | 0.918335i | ||||
\(867\) | −1.50151e6 | − | 866895.i | −1.99751 | − | 1.15326i | ||||
\(868\) | 635494. | + | 529899.i | 0.843475 | + | 0.703322i | ||||
\(869\) | −184830. | + | 155091.i | −0.244756 | + | 0.205375i | ||||
\(870\) | 151402. | + | 26454.6i | 0.200029 | + | 0.0349513i | ||||
\(871\) | 678185. | − | 119582.i | 0.893947 | − | 0.157627i | ||||
\(872\) | −615180. | − | 220678.i | −0.809039 | − | 0.290219i | ||||
\(873\) | 1.84432e6 | 2.41996 | ||||||||
\(874\) | 294747. | + | 163194.i | 0.385857 | + | 0.213639i | ||||
\(875\) | 424713.i | 0.554727i | ||||||||
\(876\) | 207021. | + | 245173.i | 0.269778 | + | 0.319495i | ||||
\(877\) | −7376.03 | − | 41831.5i | −0.00959011 | − | 0.0543882i | 0.979637 | − | 0.200776i | \(-0.0643464\pi\) |
−0.989227 | + | 0.146388i | \(0.953235\pi\) | |||||||
\(878\) | 819432. | + | 143181.i | 1.06298 | + | 0.185736i | ||||
\(879\) | −212413. | − | 253143.i | −0.274918 | − | 0.327634i | ||||
\(880\) | −21785.2 | − | 58720.6i | −0.0281317 | − | 0.0758272i | ||||
\(881\) | 598445. | − | 1.03654e6i | 0.771032 | − | 1.33547i | −0.165966 | − | 0.986131i | \(-0.553074\pi\) |
0.936998 | − | 0.349334i | \(-0.113592\pi\) | |||||||
\(882\) | −282052. | + | 490279.i | −0.362569 | + | 0.630240i | ||||
\(883\) | −192930. | − | 530071.i | −0.247445 | − | 0.679849i | −0.999778 | − | 0.0210663i | \(-0.993294\pi\) |
0.752333 | − | 0.658783i | \(-0.228928\pi\) | |||||||
\(884\) | −187984. | + | 1.08576e6i | −0.240556 | + | 1.38940i | ||||
\(885\) | −385405. | − | 667541.i | −0.492075 | − | 0.852298i | ||||
\(886\) | −1066.30 | − | 688871.i | −0.00135835 | − | 0.877547i | ||||
\(887\) | 560042. | + | 98750.5i | 0.711825 | + | 0.125514i | 0.517824 | − | 0.855487i | \(-0.326742\pi\) |
0.194001 | + | 0.981001i | \(0.437853\pi\) | |||||||
\(888\) | −719101. | − | 848954.i | −0.911935 | − | 1.07661i | ||||
\(889\) | −546372. | − | 458461.i | −0.691330 | − | 0.580094i | ||||
\(890\) | 392186. | − | 330119.i | 0.495122 | − | 0.416765i | ||||
\(891\) | 2073.70 | − | 5697.43i | 0.00261210 | − | 0.00717668i | ||||
\(892\) | 155004. | + | 88852.7i | 0.194810 | + | 0.111671i | ||||
\(893\) | 28927.9 | + | 75599.5i | 0.0362755 | + | 0.0948017i | ||||
\(894\) | −1.12687e6 | + | 652924.i | −1.40993 | + | 0.816935i | ||||
\(895\) | −26674.4 | + | 73287.3i | −0.0333003 | + | 0.0914919i | ||||
\(896\) | −386120. | − | 450162.i | −0.480956 | − | 0.560729i | ||||
\(897\) | 396532. | + | 332730.i | 0.492825 | + | 0.413530i | ||||
\(898\) | 370326. | + | 134139.i | 0.459232 | + | 0.166342i | ||||
\(899\) | −363493. | − | 64093.6i | −0.449755 | − | 0.0793040i | ||||
\(900\) | −542219. | − | 932472.i | −0.669406 | − | 1.15120i | ||||
\(901\) | −715723. | − | 1.23967e6i | −0.881648 | − | 1.52706i | ||||
\(902\) | −62065.0 | + | 74199.2i | −0.0762841 | + | 0.0911981i | ||||
\(903\) | 438265. | + | 1.20412e6i | 0.537478 | + | 1.47671i | ||||
\(904\) | 669043. | + | 1.14649e6i | 0.818686 | + | 1.40292i | ||||
\(905\) | −227595. | + | 394206.i | −0.277885 | + | 0.481312i | ||||
\(906\) | −2.24329e6 | + | 820424.i | −2.73293 | + | 0.999499i | ||||
\(907\) | 43101.5 | + | 51366.4i | 0.0523935 | + | 0.0624402i | 0.791605 | − | 0.611033i | \(-0.209246\pi\) |
−0.739211 | + | 0.673474i | \(0.764801\pi\) | |||||||
\(908\) | 132939. | + | 361757.i | 0.161242 | + | 0.438779i | ||||
\(909\) | 278810. | + | 1.58121e6i | 0.337428 | + | 1.91365i | ||||
\(910\) | −223297. | + | 39729.8i | −0.269650 | + | 0.0479771i | ||||
\(911\) | − | 893700.i | − | 1.07685i | −0.842674 | − | 0.538425i | \(-0.819020\pi\) | ||
0.842674 | − | 0.538425i | \(-0.180980\pi\) | |||||||
\(912\) | 838748. | − | 1.04670e6i | 1.00842 | − | 1.25844i | ||||
\(913\) | −252204. | −0.302560 | ||||||||
\(914\) | 62644.1 | + | 352085.i | 0.0749873 | + | 0.421458i | ||||
\(915\) | −462118. | + | 81483.9i | −0.551964 | + | 0.0973262i | ||||
\(916\) | −960800. | + | 353075.i | −1.14510 | + | 0.420800i | ||||
\(917\) | 224634. | − | 188490.i | 0.267138 | − | 0.224156i | ||||
\(918\) | 437040. | + | 1.19500e6i | 0.518603 | + | 1.41802i | ||||
\(919\) | 248235. | + | 143318.i | 0.293921 | + | 0.169696i | 0.639709 | − | 0.768617i | \(-0.279055\pi\) |
−0.345788 | + | 0.938313i | \(0.612388\pi\) | |||||||
\(920\) | −132157. | + | 77121.4i | −0.156140 | + | 0.0911170i | ||||
\(921\) | 196033. | − | 71350.2i | 0.231105 | − | 0.0841154i | ||||
\(922\) | −879833. | − | 735950.i | −1.03500 | − | 0.865738i | ||||
\(923\) | −295810. | + | 170786.i | −0.347223 | + | 0.200469i | ||||
\(924\) | 173495. | − | 100885.i | 0.203209 | − | 0.118163i | ||||
\(925\) | −108154. | + | 613370.i | −0.126403 | + | 0.716868i | ||||
\(926\) | 351071. | − | 969224.i | 0.409423 | − | 1.13032i | ||||
\(927\) | 356362. | − | 424696.i | 0.414698 | − | 0.494218i | ||||
\(928\) | 249295. | + | 88556.9i | 0.289479 | + | 0.102832i | ||||
\(929\) | 148034. | + | 53880.1i | 0.171526 | + | 0.0624305i | 0.426356 | − | 0.904556i | \(-0.359797\pi\) |
−0.254830 | + | 0.966986i | \(0.582019\pi\) | |||||||
\(930\) | −426089. | − | 735377.i | −0.492646 | − | 0.850245i | ||||
\(931\) | 202432. | + | 337715.i | 0.233550 | + | 0.389628i | ||||
\(932\) | 727796. | − | 1.26964e6i | 0.837872 | − | 1.46167i | ||||
\(933\) | −189914. | − | 69123.1i | −0.218169 | − | 0.0794072i | ||||
\(934\) | 680487. | + | 808429.i | 0.780057 | + | 0.926719i | ||||
\(935\) | 70851.1 | − | 84437.1i | 0.0810445 | − | 0.0965851i | ||||
\(936\) | 967827. | − | 819792.i | 1.10470 | − | 0.935733i | ||||
\(937\) | −13911.5 | + | 78896.0i | −0.0158451 | + | 0.0898619i | −0.991705 | − | 0.128536i | \(-0.958972\pi\) |
0.975860 | + | 0.218398i | \(0.0700832\pi\) | |||||||
\(938\) | −652295. | + | 1009.69i | −0.741376 | + | 0.00114757i | ||||
\(939\) | 732576. | − | 422953.i | 0.830848 | − | 0.479690i | ||||
\(940\) | −36223.8 | − | 6271.67i | −0.0409957 | − | 0.00709786i | ||||
\(941\) | 188058. | − | 68447.4i | 0.212379 | − | 0.0772996i | −0.233640 | − | 0.972323i | \(-0.575064\pi\) |
0.446019 | + | 0.895024i | \(0.352841\pi\) | |||||||
\(942\) | −393499. | − | 226375.i | −0.443447 | − | 0.255110i | ||||
\(943\) | 204668. | + | 118165.i | 0.230158 | + | 0.132882i | ||||
\(944\) | −461503. | − | 1.24395e6i | −0.517881 | − | 1.39591i | ||||
\(945\) | −200625. | + | 168345.i | −0.224658 | + | 0.188511i | ||||
\(946\) | −40092.9 | + | 229455.i | −0.0448008 | + | 0.256398i | ||||
\(947\) | 62740.8 | − | 11062.9i | 0.0699601 | − | 0.0123359i | −0.138559 | − | 0.990354i | \(-0.544247\pi\) |
0.208519 | + | 0.978018i | \(0.433136\pi\) | |||||||
\(948\) | 1.79304e6 | − | 1.51403e6i | 1.99514 | − | 1.68468i | ||||
\(949\) | 211228. | 0.234541 | ||||||||
\(950\) | −750753. | + | 13469.6i | −0.831859 | + | 0.0149248i | ||||
\(951\) | 70111.7i | 0.0775227i | ||||||||
\(952\) | 352423. | − | 982445.i | 0.388857 | − | 1.08401i | ||||
\(953\) | −38152.6 | − | 216374.i | −0.0420086 | − | 0.238243i | 0.956572 | − | 0.291495i | \(-0.0941525\pi\) |
−0.998581 | + | 0.0532518i | \(0.983041\pi\) | |||||||
\(954\) | −283605. | + | 1.62309e6i | −0.311614 | + | 1.78339i | ||||
\(955\) | 68265.0 | + | 81355.0i | 0.0748499 | + | 0.0892026i | ||||
\(956\) | 757535. | − | 908492.i | 0.828871 | − | 0.994043i | ||||
\(957\) | −44762.6 | + | 77531.1i | −0.0488755 | + | 0.0846549i | ||||
\(958\) | −1.13495e6 | − | 652921.i | −1.23664 | − | 0.711426i | ||||
\(959\) | −5786.64 | − | 15898.7i | −0.00629201 | − | 0.0172872i | ||||
\(960\) | 213658. | + | 570478.i | 0.231833 | + | 0.619008i | ||||
\(961\) | 558759. | + | 967800.i | 0.605032 | + | 1.04795i | ||||
\(962\) | −732370. | + | 1133.63i | −0.791372 | + | 0.00122496i | ||||
\(963\) | −865684. | − | 152643.i | −0.933484 | − | 0.164598i | ||||
\(964\) | 64562.4 | + | 359637.i | 0.0694745 | + | 0.387000i | ||||
\(965\) | 162996. | + | 136770.i | 0.175034 | + | 0.146871i | ||||
\(966\) | −315747. | − | 375112.i | −0.338365 | − | 0.401982i | ||||
\(967\) | −189820. | + | 521527.i | −0.202997 | + | 0.557729i | −0.998859 | − | 0.0477480i | \(-0.984796\pi\) |
0.795862 | + | 0.605477i | \(0.207018\pi\) | |||||||
\(968\) | −900532. | + | 4181.82i | −0.961056 | + | 0.00446287i | ||||
\(969\) | 2.33109e6 | + | 371745.i | 2.48262 | + | 0.395911i | ||||
\(970\) | 292327. | + | 504519.i | 0.310688 | + | 0.536209i | ||||
\(971\) | −513861. | + | 1.41182e6i | −0.545014 | + | 1.49741i | 0.295350 | + | 0.955389i | \(0.404564\pi\) |
−0.840363 | + | 0.542023i | \(0.817658\pi\) | |||||||
\(972\) | −330300. | + | 916308.i | −0.349604 | + | 0.969860i | ||||
\(973\) | 366140. | + | 307228.i | 0.386742 | + | 0.324515i | ||||
\(974\) | −381275. | + | 1.05261e6i | −0.401903 | + | 1.10956i | ||||
\(975\) | −1.13613e6 | − | 200331.i | −1.19514 | − | 0.210736i | ||||
\(976\) | −807701. | + | 5001.01i | −0.847913 | + | 0.00524999i | ||||
\(977\) | −130503. | − | 226037.i | −0.136719 | − | 0.236805i | 0.789534 | − | 0.613707i | \(-0.210322\pi\) |
−0.926253 | + | 0.376903i | \(0.876989\pi\) | |||||||
\(978\) | −647698. | − | 541777.i | −0.677166 | − | 0.566426i | ||||
\(979\) | 102127. | + | 280591.i | 0.106555 | + | 0.292758i | ||||
\(980\) | −178823. | + | 553.599i | −0.186196 | + | 0.000576425i | ||||
\(981\) | −661976. | + | 1.14658e6i | −0.687867 | + | 1.19142i | ||||
\(982\) | −426325. | − | 1.16570e6i | −0.442098 | − | 1.20883i | ||||
\(983\) | 1.04482e6 | + | 1.24516e6i | 1.08127 | + | 1.28860i | 0.955000 | + | 0.296606i | \(0.0958549\pi\) |
0.126266 | + | 0.991996i | \(0.459701\pi\) | |||||||
\(984\) | 601429. | − | 723552.i | 0.621146 | − | 0.747273i | ||||
\(985\) | 73747.1 | + | 418240.i | 0.0760103 | + | 0.431076i | ||||
\(986\) | 81558.7 | + | 458392.i | 0.0838912 | + | 0.471502i | ||||
\(987\) | − | 117801.i | − | 0.120925i | ||||||
\(988\) | −170234. | − | 866364.i | −0.174394 | − | 0.887537i | ||||
\(989\) | 569069. | 0.581799 | ||||||||
\(990\) | −124914. | + | 22225.1i | −0.127450 | + | 0.0226763i | ||||
\(991\) | 492663. | − | 86869.8i | 0.501652 | − | 0.0884548i | 0.0829047 | − | 0.996557i | \(-0.473580\pi\) |
0.418748 | + | 0.908103i | \(0.362469\pi\) | |||||||
\(992\) | −510978. | − | 1.37080e6i | −0.519253 | − | 1.39300i | ||||
\(993\) | 997246. | − | 836789.i | 1.01136 | − | 0.848628i | ||||
\(994\) | 303858. | − | 111128.i | 0.307537 | − | 0.112474i | ||||
\(995\) | 620285. | + | 358122.i | 0.626535 | + | 0.361730i | ||||
\(996\) | 2.45301e6 | − | 7594.04i | 2.47276 | − | 0.00765516i | ||||
\(997\) | −584690. | + | 212810.i | −0.588214 | + | 0.214092i | −0.618944 | − | 0.785435i | \(-0.712439\pi\) |
0.0307296 | + | 0.999528i | \(0.490217\pi\) | |||||||
\(998\) | −44258.7 | + | 52911.6i | −0.0444363 | + | 0.0531239i | ||||
\(999\) | −732390. | + | 422846.i | −0.733857 | + | 0.423693i |
(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 | 76.5.l.a.23.18 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.10 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.10 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.18 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.10 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.18 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.10 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.18 | yes | 228 | 76.43 | odd | 18 | inner |