Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), 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: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.7 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.23562 | − | 3.31693i | −0.558904 | − | 0.829232i | ||||
\(3\) | 3.18543 | + | 8.41742i | 0.353937 | + | 0.935269i | ||||
\(4\) | −6.00404 | + | 14.8308i | −0.375253 | + | 0.926923i | ||||
\(5\) | −23.3466 | − | 40.4374i | −0.933862 | − | 1.61750i | −0.776650 | − | 0.629932i | \(-0.783083\pi\) |
−0.157212 | − | 0.987565i | \(-0.550251\pi\) | |||||||
\(6\) | 20.7986 | − | 29.3840i | 0.577739 | − | 0.816222i | ||||
\(7\) | −52.4363 | − | 30.2741i | −1.07013 | − | 0.617839i | −0.141913 | − | 0.989879i | \(-0.545325\pi\) |
−0.928217 | + | 0.372040i | \(0.878659\pi\) | |||||||
\(8\) | 62.6153 | − | 13.2409i | 0.978364 | − | 0.206889i | ||||
\(9\) | −60.7060 | + | 53.6263i | −0.749457 | + | 0.662053i | ||||
\(10\) | −81.9341 | + | 167.841i | −0.819341 | + | 1.67841i | ||||
\(11\) | −63.7631 | − | 36.8136i | −0.526968 | − | 0.304245i | 0.212813 | − | 0.977093i | \(-0.431737\pi\) |
−0.739781 | + | 0.672848i | \(0.765071\pi\) | |||||||
\(12\) | −143.962 | − | 3.29614i | −0.999738 | − | 0.0228898i | ||||
\(13\) | 15.5924 | + | 27.0068i | 0.0922626 | + | 0.159803i | 0.908463 | − | 0.417966i | \(-0.137257\pi\) |
−0.816200 | + | 0.577769i | \(0.803923\pi\) | |||||||
\(14\) | 16.8104 | + | 241.609i | 0.0857671 | + | 1.23270i | ||||
\(15\) | 266.010 | − | 325.329i | 1.18227 | − | 1.44590i | ||||
\(16\) | −183.903 | − | 178.089i | −0.718371 | − | 0.695660i | ||||
\(17\) | 53.8013 | 0.186164 | 0.0930819 | − | 0.995658i | \(-0.470328\pi\) | ||||
0.0930819 | + | 0.995658i | \(0.470328\pi\) | |||||||
\(18\) | 313.590 | + | 81.4697i | 0.967870 | + | 0.251450i | ||||
\(19\) | − | 54.9619i | − | 0.152249i | −0.997098 | − | 0.0761245i | \(-0.975745\pi\) | ||
0.997098 | − | 0.0761245i | \(-0.0242546\pi\) | |||||||
\(20\) | 739.891 | − | 103.459i | 1.84973 | − | 0.258648i | ||||
\(21\) | 87.7977 | − | 537.815i | 0.199088 | − | 1.21954i | ||||
\(22\) | 20.4416 | + | 293.799i | 0.0422346 | + | 0.607023i | ||||
\(23\) | 243.863 | − | 140.795i | 0.460990 | − | 0.266152i | −0.251471 | − | 0.967865i | \(-0.580914\pi\) |
0.712460 | + | 0.701712i | \(0.247581\pi\) | |||||||
\(24\) | 310.911 | + | 484.882i | 0.539777 | + | 0.841808i | ||||
\(25\) | −777.624 | + | 1346.88i | −1.24420 | + | 2.15501i | ||||
\(26\) | 54.7210 | − | 112.096i | 0.0809483 | − | 0.165822i | ||||
\(27\) | −644.770 | − | 340.165i | −0.884459 | − | 0.466619i | ||||
\(28\) | 763.818 | − | 595.904i | 0.974258 | − | 0.760081i | ||||
\(29\) | 223.597 | − | 387.282i | 0.265871 | − | 0.460502i | −0.701921 | − | 0.712255i | \(-0.747674\pi\) |
0.967791 | + | 0.251753i | \(0.0810072\pi\) | |||||||
\(30\) | −1673.79 | − | 155.026i | −1.85976 | − | 0.172252i | ||||
\(31\) | 240.584 | − | 138.901i | 0.250347 | − | 0.144538i | −0.369576 | − | 0.929200i | \(-0.620497\pi\) |
0.619923 | + | 0.784663i | \(0.287164\pi\) | |||||||
\(32\) | −179.572 | + | 1008.13i | −0.175364 | + | 0.984504i | ||||
\(33\) | 106.763 | − | 653.989i | 0.0980375 | − | 0.600540i | ||||
\(34\) | −120.279 | − | 178.455i | −0.104048 | − | 0.154373i | ||||
\(35\) | 2827.19i | 2.30791i | ||||||||
\(36\) | −430.837 | − | 1222.29i | −0.332436 | − | 0.943126i | ||||
\(37\) | 1016.51 | 0.742522 | 0.371261 | − | 0.928528i | \(-0.378925\pi\) | ||||
0.371261 | + | 0.928528i | \(0.378925\pi\) | |||||||
\(38\) | −182.305 | + | 122.874i | −0.126250 | + | 0.0850926i | ||||
\(39\) | −177.659 | + | 217.276i | −0.116804 | + | 0.142851i | ||||
\(40\) | −1997.28 | − | 2222.87i | −1.24830 | − | 1.38930i | ||||
\(41\) | −946.158 | − | 1638.79i | −0.562854 | − | 0.974892i | −0.997246 | − | 0.0741680i | \(-0.976370\pi\) |
0.434392 | − | 0.900724i | \(-0.356963\pi\) | |||||||
\(42\) | −1980.18 | + | 911.129i | −1.12255 | + | 0.516513i | ||||
\(43\) | 666.266 | + | 384.669i | 0.360339 | + | 0.208042i | 0.669229 | − | 0.743056i | \(-0.266624\pi\) |
−0.308891 | + | 0.951098i | \(0.599958\pi\) | |||||||
\(44\) | 928.811 | − | 724.625i | 0.479758 | − | 0.374290i | ||||
\(45\) | 3585.79 | + | 1202.81i | 1.77076 | + | 0.593978i | ||||
\(46\) | −1012.19 | − | 494.115i | −0.478351 | − | 0.233514i | ||||
\(47\) | −2374.81 | − | 1371.10i | −1.07506 | − | 0.620687i | −0.145502 | − | 0.989358i | \(-0.546480\pi\) |
−0.929560 | + | 0.368671i | \(0.879813\pi\) | |||||||
\(48\) | 913.240 | − | 2115.28i | 0.396371 | − | 0.918090i | ||||
\(49\) | 632.546 | + | 1095.60i | 0.263451 | + | 0.456311i | ||||
\(50\) | 6205.98 | − | 431.792i | 2.48239 | − | 0.172717i | ||||
\(51\) | 171.381 | + | 452.869i | 0.0658903 | + | 0.174113i | ||||
\(52\) | −494.148 | + | 69.0969i | −0.182747 | + | 0.0255536i | ||||
\(53\) | −4647.69 | −1.65457 | −0.827286 | − | 0.561780i | \(-0.810117\pi\) | ||||
−0.827286 | + | 0.561780i | \(0.810117\pi\) | |||||||
\(54\) | 313.155 | + | 2899.14i | 0.107392 | + | 0.994217i | ||||
\(55\) | 3437.89i | 1.13649i | ||||||||
\(56\) | −3684.18 | − | 1201.32i | −1.17480 | − | 0.383074i | ||||
\(57\) | 462.637 | − | 175.078i | 0.142394 | − | 0.0538866i | ||||
\(58\) | −1784.46 | + | 124.157i | −0.530459 | + | 0.0369076i | ||||
\(59\) | 262.792 | − | 151.723i | 0.0754934 | − | 0.0435861i | −0.461778 | − | 0.886995i | \(-0.652788\pi\) |
0.537272 | + | 0.843409i | \(0.319455\pi\) | |||||||
\(60\) | 3227.74 | + | 5898.42i | 0.896593 | + | 1.63845i | ||||
\(61\) | −478.174 | + | 828.222i | −0.128507 | + | 0.222580i | −0.923098 | − | 0.384564i | \(-0.874352\pi\) |
0.794591 | + | 0.607145i | \(0.207685\pi\) | |||||||
\(62\) | −998.577 | − | 487.469i | −0.259776 | − | 0.126813i | ||||
\(63\) | 4806.69 | − | 974.145i | 1.21106 | − | 0.245438i | ||||
\(64\) | 3745.36 | − | 1658.17i | 0.914394 | − | 0.404826i | ||||
\(65\) | 728.057 | − | 1261.03i | 0.172321 | − | 0.298469i | ||||
\(66\) | −2407.91 | + | 1107.94i | −0.552781 | + | 0.254349i | ||||
\(67\) | 6010.96 | − | 3470.43i | 1.33904 | − | 0.773096i | 0.352376 | − | 0.935858i | \(-0.385374\pi\) |
0.986665 | + | 0.162762i | \(0.0520403\pi\) | |||||||
\(68\) | −323.026 | + | 797.915i | −0.0698585 | + | 0.172559i | ||||
\(69\) | 1961.94 | + | 1604.21i | 0.412086 | + | 0.336948i | ||||
\(70\) | 9377.58 | − | 6320.51i | 1.91379 | − | 1.28990i | ||||
\(71\) | − | 5971.60i | − | 1.18461i | −0.805715 | − | 0.592303i | \(-0.798219\pi\) | ||
0.805715 | − | 0.592303i | \(-0.201781\pi\) | |||||||
\(72\) | −3091.07 | + | 4161.63i | −0.596270 | + | 0.802784i | ||||
\(73\) | −4339.17 | −0.814257 | −0.407128 | − | 0.913371i | \(-0.633470\pi\) | ||||
−0.407128 | + | 0.913371i | \(0.633470\pi\) | |||||||
\(74\) | −2272.53 | − | 3371.70i | −0.414999 | − | 0.615724i | ||||
\(75\) | −13814.4 | − | 2255.18i | −2.45589 | − | 0.400920i | ||||
\(76\) | 815.127 | + | 329.993i | 0.141123 | + | 0.0571318i | ||||
\(77\) | 2229.00 | + | 3860.75i | 0.375949 | + | 0.651163i | ||||
\(78\) | 1117.87 | + | 103.537i | 0.183739 | + | 0.0170179i | ||||
\(79\) | −3294.15 | − | 1901.88i | −0.527824 | − | 0.304740i | 0.212306 | − | 0.977203i | \(-0.431903\pi\) |
−0.740130 | + | 0.672464i | \(0.765236\pi\) | |||||||
\(80\) | −2907.96 | + | 11594.3i | −0.454369 | + | 1.81161i | ||||
\(81\) | 809.440 | − | 6510.88i | 0.123371 | − | 0.992361i | ||||
\(82\) | −3320.52 | + | 6802.05i | −0.493831 | + | 1.01161i | ||||
\(83\) | 2730.64 | + | 1576.53i | 0.396376 | + | 0.228848i | 0.684919 | − | 0.728619i | \(-0.259837\pi\) |
−0.288543 | + | 0.957467i | \(0.593171\pi\) | |||||||
\(84\) | 7449.07 | + | 4531.17i | 1.05571 | + | 0.642173i | ||||
\(85\) | −1256.08 | − | 2175.59i | −0.173851 | − | 0.301119i | ||||
\(86\) | −213.596 | − | 3069.93i | −0.0288799 | − | 0.415080i | ||||
\(87\) | 3972.17 | + | 648.452i | 0.524795 | + | 0.0856721i | ||||
\(88\) | −4479.99 | − | 1460.82i | −0.578512 | − | 0.188639i | ||||
\(89\) | −7132.44 | −0.900447 | −0.450224 | − | 0.892916i | \(-0.648656\pi\) | ||||
−0.450224 | + | 0.892916i | \(0.648656\pi\) | |||||||
\(90\) | −4026.82 | − | 14582.8i | −0.497138 | − | 1.80035i | ||||
\(91\) | − | 1888.18i | − | 0.228014i | ||||||
\(92\) | 623.925 | + | 4462.02i | 0.0737152 | + | 0.527176i | ||||
\(93\) | 1935.55 | + | 1582.63i | 0.223789 | + | 0.182985i | ||||
\(94\) | 761.331 | + | 10942.3i | 0.0861624 | + | 1.23838i | ||||
\(95\) | −2222.52 | + | 1283.17i | −0.246262 | + | 0.142180i | ||||
\(96\) | −9057.89 | + | 1699.80i | −0.982844 | + | 0.184440i | ||||
\(97\) | 980.405 | − | 1698.11i | 0.104199 | − | 0.180477i | −0.809212 | − | 0.587517i | \(-0.800106\pi\) |
0.913411 | + | 0.407040i | \(0.133439\pi\) | |||||||
\(98\) | 2219.91 | − | 4547.46i | 0.231144 | − | 0.473496i | ||||
\(99\) | 5844.98 | − | 1184.57i | 0.596366 | − | 0.120862i | ||||
\(100\) | −15306.4 | − | 19619.5i | −1.53064 | − | 1.96195i | ||||
\(101\) | 3849.96 | − | 6668.32i | 0.377410 | − | 0.653693i | −0.613275 | − | 0.789870i | \(-0.710148\pi\) |
0.990685 | + | 0.136177i | \(0.0434815\pi\) | |||||||
\(102\) | 1118.99 | − | 1580.90i | 0.107554 | − | 0.151951i | ||||
\(103\) | −3195.22 | + | 1844.76i | −0.301180 | + | 0.173886i | −0.642973 | − | 0.765889i | \(-0.722299\pi\) |
0.341793 | + | 0.939775i | \(0.388966\pi\) | |||||||
\(104\) | 1333.92 | + | 1484.58i | 0.123328 | + | 0.137258i | ||||
\(105\) | −23797.6 | + | 9005.82i | −2.15852 | + | 0.816854i | ||||
\(106\) | 10390.5 | + | 15416.1i | 0.924747 | + | 1.37203i | ||||
\(107\) | 13741.5i | 1.20024i | 0.799911 | + | 0.600118i | \(0.204880\pi\) | ||||
−0.799911 | + | 0.600118i | \(0.795120\pi\) | |||||||
\(108\) | 8916.14 | − | 7520.07i | 0.764415 | − | 0.644725i | ||||
\(109\) | 18709.9 | 1.57478 | 0.787388 | − | 0.616458i | \(-0.211433\pi\) | ||||
0.787388 | + | 0.616458i | \(0.211433\pi\) | |||||||
\(110\) | 11403.2 | − | 7685.80i | 0.942416 | − | 0.635190i | ||||
\(111\) | 3238.04 | + | 8556.42i | 0.262806 | + | 0.694458i | ||||
\(112\) | 4251.71 | + | 14905.8i | 0.338944 | + | 1.18828i | ||||
\(113\) | 5000.50 | + | 8661.12i | 0.391613 | + | 0.678293i | 0.992662 | − | 0.120919i | \(-0.0385840\pi\) |
−0.601050 | + | 0.799212i | \(0.705251\pi\) | |||||||
\(114\) | −1615.00 | − | 1143.13i | −0.124269 | − | 0.0879601i | ||||
\(115\) | −11386.7 | − | 6574.14i | −0.861002 | − | 0.497099i | ||||
\(116\) | 4401.20 | + | 5641.38i | 0.327081 | + | 0.419246i | ||||
\(117\) | −2394.83 | − | 803.313i | −0.174945 | − | 0.0586831i | ||||
\(118\) | −1090.76 | − | 532.469i | −0.0783366 | − | 0.0382411i | ||||
\(119\) | −2821.15 | − | 1628.79i | −0.199219 | − | 0.115019i | ||||
\(120\) | 12348.7 | − | 23892.8i | 0.857545 | − | 1.65922i | ||||
\(121\) | −4610.01 | − | 7984.77i | −0.314870 | − | 0.545371i | ||||
\(122\) | 3816.17 | − | 265.516i | 0.256394 | − | 0.0178390i | ||||
\(123\) | 10780.5 | − | 13184.5i | 0.712572 | − | 0.871471i | ||||
\(124\) | 615.534 | + | 4402.00i | 0.0400321 | + | 0.286291i | ||||
\(125\) | 43436.1 | 2.77991 | ||||||||
\(126\) | −13977.1 | − | 13765.6i | −0.880391 | − | 0.867072i | ||||
\(127\) | 18883.8i | 1.17080i | 0.810745 | + | 0.585400i | \(0.199063\pi\) | ||||
−0.810745 | + | 0.585400i | \(0.800937\pi\) | |||||||
\(128\) | −13873.2 | − | 8716.06i | −0.846753 | − | 0.531986i | ||||
\(129\) | −1115.57 | + | 6833.58i | −0.0670377 | + | 0.410647i | ||||
\(130\) | −5810.41 | + | 404.269i | −0.343811 | + | 0.0239212i | ||||
\(131\) | 25700.9 | − | 14838.4i | 1.49763 | − | 0.864660i | 0.497639 | − | 0.867384i | \(-0.334201\pi\) |
0.999996 | + | 0.00272458i | \(0.000867262\pi\) | |||||||
\(132\) | 9058.14 | + | 5509.95i | 0.519866 | + | 0.316228i | ||||
\(133\) | −1663.92 | + | 2882.00i | −0.0940654 | + | 0.162926i | ||||
\(134\) | −24949.4 | − | 12179.4i | −1.38947 | − | 0.678290i | ||||
\(135\) | 1297.77 | + | 34014.5i | 0.0712080 | + | 1.86637i | ||||
\(136\) | 3368.79 | − | 712.379i | 0.182136 | − | 0.0385153i | ||||
\(137\) | −8332.79 | + | 14432.8i | −0.443965 | + | 0.768971i | −0.997980 | − | 0.0635366i | \(-0.979762\pi\) |
0.554014 | + | 0.832507i | \(0.313095\pi\) | |||||||
\(138\) | 934.908 | − | 10094.0i | 0.0490920 | − | 0.530036i | ||||
\(139\) | −3545.95 | + | 2047.25i | −0.183528 | + | 0.105960i | −0.588949 | − | 0.808170i | \(-0.700458\pi\) |
0.405421 | + | 0.914130i | \(0.367125\pi\) | |||||||
\(140\) | −41929.3 | − | 16974.5i | −2.13925 | − | 0.866048i | ||||
\(141\) | 3976.30 | − | 24357.3i | 0.200005 | − | 1.22516i | ||||
\(142\) | −19807.4 | + | 13350.2i | −0.982314 | + | 0.662081i | ||||
\(143\) | − | 2296.05i | − | 0.112282i | ||||||
\(144\) | 20714.3 | + | 949.039i | 0.998952 | + | 0.0457677i | ||||
\(145\) | −20880.9 | −0.993147 | ||||||||
\(146\) | 9700.73 | + | 14392.7i | 0.455091 | + | 0.675208i | ||||
\(147\) | −7207.21 | + | 8814.38i | −0.333528 | + | 0.407903i | ||||
\(148\) | −6103.19 | + | 15075.7i | −0.278633 | + | 0.688261i | ||||
\(149\) | 2934.59 | + | 5082.86i | 0.132183 | + | 0.228947i | 0.924518 | − | 0.381139i | \(-0.124468\pi\) |
−0.792335 | + | 0.610086i | \(0.791135\pi\) | |||||||
\(150\) | 23403.3 | + | 50863.0i | 1.04015 | + | 2.26058i | ||||
\(151\) | −28725.6 | − | 16584.7i | −1.25984 | − | 0.727369i | −0.286797 | − | 0.957991i | \(-0.592591\pi\) |
−0.973043 | + | 0.230622i | \(0.925924\pi\) | |||||||
\(152\) | −727.745 | − | 3441.46i | −0.0314987 | − | 0.148955i | ||||
\(153\) | −3266.07 | + | 2885.17i | −0.139522 | + | 0.123250i | ||||
\(154\) | 7822.63 | − | 16024.6i | 0.329846 | − | 0.675687i | ||||
\(155\) | −11233.6 | − | 6485.72i | −0.467579 | − | 0.269957i | ||||
\(156\) | −2155.70 | − | 3939.35i | −0.0885805 | − | 0.161873i | ||||
\(157\) | −11089.2 | − | 19207.1i | −0.449886 | − | 0.779226i | 0.548492 | − | 0.836156i | \(-0.315202\pi\) |
−0.998378 | + | 0.0569302i | \(0.981869\pi\) | |||||||
\(158\) | 1056.06 | + | 15178.3i | 0.0423033 | + | 0.608009i | ||||
\(159\) | −14804.9 | − | 39121.6i | −0.585615 | − | 1.54747i | ||||
\(160\) | 44958.6 | − | 16275.0i | 1.75620 | − | 0.635741i | ||||
\(161\) | −17049.7 | −0.657758 | ||||||||
\(162\) | −23405.7 | + | 11871.0i | −0.891850 | + | 0.452331i | ||||
\(163\) | 31303.8i | 1.17821i | 0.808057 | + | 0.589104i | \(0.200519\pi\) | ||||
−0.808057 | + | 0.589104i | \(0.799481\pi\) | |||||||
\(164\) | 29985.3 | − | 4192.86i | 1.11486 | − | 0.155891i | ||||
\(165\) | −28938.2 | + | 10951.2i | −1.06293 | + | 0.402247i | ||||
\(166\) | −875.403 | − | 12581.8i | −0.0317682 | − | 0.456592i | ||||
\(167\) | −22551.7 | + | 13020.2i | −0.808622 | + | 0.466858i | −0.846477 | − | 0.532425i | \(-0.821281\pi\) |
0.0378548 | + | 0.999283i | \(0.487948\pi\) | |||||||
\(168\) | −1623.68 | − | 34838.0i | −0.0575284 | − | 1.23434i | ||||
\(169\) | 13794.3 | − | 23892.4i | 0.482975 | − | 0.836538i | ||||
\(170\) | −4408.17 | + | 9030.10i | −0.152532 | + | 0.312460i | ||||
\(171\) | 2947.40 | + | 3336.52i | 0.100797 | + | 0.114104i | ||||
\(172\) | −9705.23 | + | 7571.67i | −0.328057 | + | 0.255938i | ||||
\(173\) | −7830.38 | + | 13562.6i | −0.261632 | + | 0.453160i | −0.966676 | − | 0.256004i | \(-0.917594\pi\) |
0.705044 | + | 0.709164i | \(0.250927\pi\) | |||||||
\(174\) | −6729.38 | − | 14625.1i | −0.222268 | − | 0.483059i | ||||
\(175\) | 81551.5 | − | 47083.8i | 2.66290 | − | 1.53743i | ||||
\(176\) | 5170.12 | + | 18125.6i | 0.166907 | + | 0.585151i | ||||
\(177\) | 2114.23 | + | 1728.73i | 0.0674846 | + | 0.0551799i | ||||
\(178\) | 15945.4 | + | 23657.8i | 0.503264 | + | 0.746680i | ||||
\(179\) | − | 36836.7i | − | 1.14967i | −0.818268 | − | 0.574837i | \(-0.805065\pi\) | ||
0.818268 | − | 0.574837i | \(-0.194935\pi\) | |||||||
\(180\) | −39367.7 | + | 45958.2i | −1.21505 | + | 1.41846i | ||||
\(181\) | 56961.0 | 1.73868 | 0.869342 | − | 0.494211i | \(-0.164543\pi\) | ||||
0.869342 | + | 0.494211i | \(0.164543\pi\) | |||||||
\(182\) | −6262.97 | + | 4221.25i | −0.189076 | + | 0.127438i | ||||
\(183\) | −8494.68 | − | 1386.75i | −0.253656 | − | 0.0414090i | ||||
\(184\) | 13405.3 | − | 12044.9i | 0.395952 | − | 0.355768i | ||||
\(185\) | −23732.1 | − | 41105.2i | −0.693414 | − | 1.20103i | ||||
\(186\) | 922.334 | − | 9958.25i | 0.0266601 | − | 0.287844i | ||||
\(187\) | −3430.54 | − | 1980.62i | −0.0981024 | − | 0.0566394i | ||||
\(188\) | 34592.9 | − | 26988.1i | 0.978749 | − | 0.763584i | ||||
\(189\) | 23511.2 | + | 37356.9i | 0.658190 | + | 1.04580i | ||||
\(190\) | 9224.88 | + | 4503.26i | 0.255537 | + | 0.124744i | ||||
\(191\) | 33837.1 | + | 19535.9i | 0.927527 | + | 0.535508i | 0.886029 | − | 0.463630i | \(-0.153453\pi\) |
0.0414986 | + | 0.999139i | \(0.486787\pi\) | |||||||
\(192\) | 25888.1 | + | 26244.3i | 0.702259 | + | 0.711921i | ||||
\(193\) | −2025.97 | − | 3509.08i | −0.0543898 | − | 0.0942059i | 0.837549 | − | 0.546363i | \(-0.183988\pi\) |
−0.891938 | + | 0.452157i | \(0.850655\pi\) | |||||||
\(194\) | −7824.33 | + | 544.391i | −0.207895 | + | 0.0144646i | ||||
\(195\) | 12933.8 | + | 2111.43i | 0.340140 | + | 0.0555274i | ||||
\(196\) | −20046.5 | + | 2803.10i | −0.521826 | + | 0.0729670i | ||||
\(197\) | −44869.6 | −1.15617 | −0.578083 | − | 0.815978i | \(-0.696199\pi\) | ||||
−0.578083 | + | 0.815978i | \(0.696199\pi\) | |||||||
\(198\) | −16996.3 | − | 16739.2i | −0.433534 | − | 0.426976i | ||||
\(199\) | − | 56256.7i | − | 1.42059i | −0.703905 | − | 0.710294i | \(-0.748562\pi\) | ||
0.703905 | − | 0.710294i | \(-0.251438\pi\) | |||||||
\(200\) | −30857.2 | + | 94632.0i | −0.771430 | + | 2.36580i | ||||
\(201\) | 48359.6 | + | 39542.0i | 1.19699 | + | 0.978737i | ||||
\(202\) | −30725.4 | + | 2137.77i | −0.752999 | + | 0.0523912i | ||||
\(203\) | −23449.3 | + | 13538.4i | −0.569032 | + | 0.328531i | ||||
\(204\) | −7745.36 | − | 177.337i | −0.186115 | − | 0.00426126i | ||||
\(205\) | −44179.1 | + | 76520.4i | −1.05126 | + | 1.82083i | ||||
\(206\) | 13262.2 | + | 6474.13i | 0.312523 | + | 0.152562i | ||||
\(207\) | −7253.68 | + | 21624.6i | −0.169285 | + | 0.504669i | ||||
\(208\) | 1942.13 | − | 7743.46i | 0.0448902 | − | 0.178982i | ||||
\(209\) | −2023.35 | + | 3504.54i | −0.0463210 | + | 0.0802303i | ||||
\(210\) | 83074.0 | + | 58801.5i | 1.88376 | + | 1.33337i | ||||
\(211\) | −63309.8 | + | 36552.0i | −1.42202 | + | 0.821005i | −0.996472 | − | 0.0839298i | \(-0.973253\pi\) |
−0.425551 | + | 0.904935i | \(0.639920\pi\) | |||||||
\(212\) | 27905.0 | − | 68928.9i | 0.620883 | − | 1.53366i | ||||
\(213\) | 50265.5 | − | 19022.1i | 1.10793 | − | 0.419276i | ||||
\(214\) | 45579.6 | − | 30720.7i | 0.995275 | − | 0.670817i | ||||
\(215\) | − | 35922.8i | − | 0.777129i | ||||||
\(216\) | −44876.6 | − | 12762.2i | −0.961861 | − | 0.273538i | ||||
\(217\) | −16820.4 | −0.357205 | ||||||||
\(218\) | −41828.2 | − | 62059.5i | −0.880149 | − | 1.30586i | ||||
\(219\) | −13822.2 | − | 36524.7i | −0.288196 | − | 0.761549i | ||||
\(220\) | −50986.5 | − | 20641.2i | −1.05344 | − | 0.426472i | ||||
\(221\) | 838.891 | + | 1453.00i | 0.0171760 | + | 0.0297496i | ||||
\(222\) | 21142.0 | − | 29869.2i | 0.428984 | − | 0.606063i | ||||
\(223\) | 65737.1 | + | 37953.3i | 1.32191 | + | 0.763203i | 0.984032 | − | 0.177989i | \(-0.0569591\pi\) |
0.337873 | + | 0.941192i | \(0.390292\pi\) | |||||||
\(224\) | 39936.4 | − | 47426.3i | 0.795927 | − | 0.945200i | ||||
\(225\) | −25022.0 | − | 123465.i | −0.494261 | − | 2.43881i | ||||
\(226\) | 17549.1 | − | 35949.3i | 0.343589 | − | 0.703839i | ||||
\(227\) | 35712.5 | + | 20618.6i | 0.693057 | + | 0.400136i | 0.804756 | − | 0.593606i | \(-0.202296\pi\) |
−0.111700 | + | 0.993742i | \(0.535629\pi\) | |||||||
\(228\) | −181.162 | + | 7912.44i | −0.00348496 | + | 0.152209i | ||||
\(229\) | −13792.1 | − | 23888.7i | −0.263003 | − | 0.455534i | 0.704036 | − | 0.710165i | \(-0.251379\pi\) |
−0.967038 | + | 0.254630i | \(0.918046\pi\) | |||||||
\(230\) | 3650.43 | + | 52466.3i | 0.0690063 | + | 0.991801i | ||||
\(231\) | −25397.2 | + | 31060.6i | −0.475950 | + | 0.582084i | ||||
\(232\) | 8872.66 | − | 27210.4i | 0.164846 | − | 0.505544i | ||||
\(233\) | 49430.2 | 0.910502 | 0.455251 | − | 0.890363i | \(-0.349550\pi\) | ||||
0.455251 | + | 0.890363i | \(0.349550\pi\) | |||||||
\(234\) | 2689.38 | + | 9739.36i | 0.0491157 | + | 0.177868i | ||||
\(235\) | 128042.i | 2.31855i | ||||||||
\(236\) | 672.355 | + | 4808.36i | 0.0120719 | + | 0.0863323i | ||||
\(237\) | 5515.62 | − | 33786.6i | 0.0981968 | − | 0.601517i | ||||
\(238\) | 904.420 | + | 12998.9i | 0.0159667 | + | 0.229484i | ||||
\(239\) | −97042.8 | + | 56027.7i | −1.69890 | + | 0.980859i | −0.752091 | + | 0.659060i | \(0.770955\pi\) |
−0.946808 | + | 0.321800i | \(0.895712\pi\) | |||||||
\(240\) | −106857. | + | 12455.4i | −1.85516 | + | 0.216240i | ||||
\(241\) | −20548.3 | + | 35590.7i | −0.353787 | + | 0.612776i | −0.986910 | − | 0.161275i | \(-0.948439\pi\) |
0.633123 | + | 0.774051i | \(0.281773\pi\) | |||||||
\(242\) | −16178.7 | + | 33142.0i | −0.276257 | + | 0.565910i | ||||
\(243\) | 57383.2 | − | 13926.6i | 0.971790 | − | 0.235848i | ||||
\(244\) | −9412.18 | − | 12064.4i | −0.158092 | − | 0.202640i | ||||
\(245\) | 29535.6 | − | 51157.1i | 0.492054 | − | 0.852263i | ||||
\(246\) | −67833.0 | − | 6282.70i | −1.12091 | − | 0.103819i | ||||
\(247\) | 1484.34 | − | 856.986i | 0.0243299 | − | 0.0140469i | ||||
\(248\) | 13225.0 | − | 11882.9i | 0.215027 | − | 0.193205i | ||||
\(249\) | −4572.08 | + | 28006.9i | −0.0737421 | + | 0.451716i | ||||
\(250\) | −97106.5 | − | 144075.i | −1.55370 | − | 2.30519i | ||||
\(251\) | 50848.1i | 0.807099i | 0.914958 | + | 0.403550i | \(0.132224\pi\) | ||||
−0.914958 | + | 0.403550i | \(0.867776\pi\) | |||||||
\(252\) | −14412.3 | + | 77135.7i | −0.226950 | + | 1.21466i | ||||
\(253\) | −20732.7 | −0.323902 | ||||||||
\(254\) | 62636.4 | − | 42217.0i | 0.970865 | − | 0.654365i | ||||
\(255\) | 14311.7 | − | 17503.1i | 0.220095 | − | 0.269175i | ||||
\(256\) | 2104.60 | + | 65502.2i | 0.0321137 | + | 0.999484i | ||||
\(257\) | −6405.02 | − | 11093.8i | −0.0969738 | − | 0.167964i | 0.813457 | − | 0.581625i | \(-0.197583\pi\) |
−0.910431 | + | 0.413662i | \(0.864250\pi\) | |||||||
\(258\) | 25160.5 | − | 11577.0i | 0.377990 | − | 0.173923i | ||||
\(259\) | −53302.2 | − | 30774.1i | −0.794595 | − | 0.458760i | ||||
\(260\) | 14330.8 | + | 18368.9i | 0.211994 | + | 0.271730i | ||||
\(261\) | 7194.80 | + | 35501.0i | 0.105618 | + | 0.521147i | ||||
\(262\) | −106675. | − | 52075.1i | −1.55404 | − | 0.758625i | ||||
\(263\) | −27445.5 | − | 15845.6i | −0.396789 | − | 0.229086i | 0.288309 | − | 0.957537i | \(-0.406907\pi\) |
−0.685097 | + | 0.728452i | \(0.740240\pi\) | |||||||
\(264\) | −1974.41 | − | 42363.3i | −0.0283289 | − | 0.607830i | ||||
\(265\) | 108508. | + | 187941.i | 1.54514 | + | 2.67627i | ||||
\(266\) | 13279.3 | − | 923.929i | 0.187677 | − | 0.0130580i | ||||
\(267\) | −22719.9 | − | 60036.8i | −0.318702 | − | 0.842161i | ||||
\(268\) | 15379.1 | + | 109984.i | 0.214121 | + | 1.53129i | ||||
\(269\) | −54892.9 | −0.758598 | −0.379299 | − | 0.925274i | \(-0.623835\pi\) | ||||
−0.379299 | + | 0.925274i | \(0.623835\pi\) | |||||||
\(270\) | 109923. | − | 80348.0i | 1.50785 | − | 1.10217i | ||||
\(271\) | − | 106332.i | − | 1.44785i | −0.689877 | − | 0.723927i | \(-0.742335\pi\) | ||
0.689877 | − | 0.723927i | \(-0.257665\pi\) | |||||||
\(272\) | −9894.23 | − | 9581.43i | −0.133735 | − | 0.129507i | ||||
\(273\) | 15893.6 | − | 6014.68i | 0.213254 | − | 0.0807026i | ||||
\(274\) | 66501.5 | − | 4626.96i | 0.885789 | − | 0.0616303i | ||||
\(275\) | 99167.4 | − | 57254.3i | 1.31130 | − | 0.757082i | ||||
\(276\) | −35571.2 | + | 19465.3i | −0.466961 | + | 0.255531i | ||||
\(277\) | 25166.6 | − | 43589.8i | 0.327993 | − | 0.568100i | −0.654121 | − | 0.756390i | \(-0.726961\pi\) |
0.982113 | + | 0.188290i | \(0.0602945\pi\) | |||||||
\(278\) | 14718.0 | + | 7184.78i | 0.190440 | + | 0.0929660i | ||||
\(279\) | −7156.12 | + | 21333.7i | −0.0919326 | + | 0.274068i | ||||
\(280\) | 37434.5 | + | 177025.i | 0.477481 | + | 2.25797i | ||||
\(281\) | 3048.20 | − | 5279.64i | 0.0386039 | − | 0.0668640i | −0.846078 | − | 0.533059i | \(-0.821042\pi\) |
0.884682 | + | 0.466195i | \(0.154376\pi\) | |||||||
\(282\) | −89681.0 | + | 41264.5i | −1.12772 | + | 0.518894i | ||||
\(283\) | 44494.8 | − | 25689.1i | 0.555567 | − | 0.320757i | −0.195797 | − | 0.980644i | \(-0.562729\pi\) |
0.751364 | + | 0.659888i | \(0.229396\pi\) | |||||||
\(284\) | 88563.4 | + | 35853.7i | 1.09804 | + | 0.444527i | ||||
\(285\) | −17880.7 | − | 14620.4i | −0.220138 | − | 0.179999i | ||||
\(286\) | −7615.83 | + | 5133.08i | −0.0931076 | + | 0.0627547i | ||||
\(287\) | 114576.i | 1.39101i | ||||||||
\(288\) | −43161.3 | − | 70829.5i | −0.520366 | − | 0.853943i | ||||
\(289\) | −80626.4 | −0.965343 | ||||||||
\(290\) | 46681.7 | + | 69260.5i | 0.555074 | + | 0.823550i | ||||
\(291\) | 17416.7 | + | 2843.26i | 0.205675 | + | 0.0335761i | ||||
\(292\) | 26052.6 | − | 64353.3i | 0.305552 | − | 0.754753i | ||||
\(293\) | −45640.7 | − | 79051.9i | −0.531639 | − | 0.920825i | −0.999318 | − | 0.0369270i | \(-0.988243\pi\) |
0.467679 | − | 0.883898i | \(-0.345090\pi\) | |||||||
\(294\) | 45349.2 | + | 4200.25i | 0.524657 | + | 0.0485938i | ||||
\(295\) | −12270.6 | − | 7084.43i | −0.141001 | − | 0.0814068i | ||||
\(296\) | 63649.3 | − | 13459.6i | 0.726457 | − | 0.153620i | ||||
\(297\) | 28589.8 | + | 45426.3i | 0.324115 | + | 0.514985i | ||||
\(298\) | 10298.9 | − | 21097.1i | 0.115973 | − | 0.237570i | ||||
\(299\) | 7604.82 | + | 4390.65i | 0.0850642 | + | 0.0491118i | ||||
\(300\) | 116388. | − | 191337.i | 1.29320 | − | 2.12597i | ||||
\(301\) | −23291.0 | − | 40341.3i | −0.257073 | − | 0.445263i | ||||
\(302\) | 9209.03 | + | 132358.i | 0.100972 | + | 1.45123i | ||||
\(303\) | 68393.9 | + | 11165.2i | 0.744958 | + | 0.121614i | ||||
\(304\) | −9788.11 | + | 10107.7i | −0.105914 | + | 0.109371i | ||||
\(305\) | 44654.9 | 0.480031 | ||||||||
\(306\) | 16871.6 | + | 4383.18i | 0.180182 | + | 0.0468109i | ||||
\(307\) | − | 108180.i | − | 1.14781i | −0.818923 | − | 0.573904i | \(-0.805428\pi\) | ||
0.818923 | − | 0.573904i | \(-0.194572\pi\) | |||||||
\(308\) | −70640.8 | + | 9877.73i | −0.744654 | + | 0.104125i | ||||
\(309\) | −25706.3 | − | 21019.1i | −0.269229 | − | 0.220139i | ||||
\(310\) | 3601.33 | + | 51760.6i | 0.0374749 | + | 0.538612i | ||||
\(311\) | 86673.2 | − | 50040.8i | 0.896116 | − | 0.517373i | 0.0201778 | − | 0.999796i | \(-0.493577\pi\) |
0.875938 | + | 0.482424i | \(0.160243\pi\) | |||||||
\(312\) | −8247.25 | + | 15957.2i | −0.0847227 | + | 0.163926i | ||||
\(313\) | 75895.3 | − | 131455.i | 0.774687 | − | 1.34180i | −0.160283 | − | 0.987071i | \(-0.551241\pi\) |
0.934970 | − | 0.354726i | \(-0.115426\pi\) | |||||||
\(314\) | −38917.4 | + | 79722.0i | −0.394716 | + | 0.808572i | ||||
\(315\) | −151612. | − | 171627.i | −1.52796 | − | 1.72968i | ||||
\(316\) | 47984.5 | − | 37435.8i | 0.480537 | − | 0.374898i | ||||
\(317\) | −56202.0 | + | 97344.7i | −0.559285 | + | 0.968710i | 0.438271 | + | 0.898843i | \(0.355591\pi\) |
−0.997556 | + | 0.0698672i | \(0.977742\pi\) | |||||||
\(318\) | −96665.5 | + | 136568.i | −0.955910 | + | 1.35050i | ||||
\(319\) | −28514.5 | + | 16462.9i | −0.280211 | + | 0.161780i | ||||
\(320\) | −154493. | − | 112740.i | −1.50872 | − | 1.10098i | ||||
\(321\) | −115668. | + | 43772.7i | −1.12254 | + | 0.424808i | ||||
\(322\) | 38116.7 | + | 56552.8i | 0.367624 | + | 0.545434i | ||||
\(323\) | − | 2957.02i | − | 0.0283433i | ||||||
\(324\) | 91701.4 | + | 51096.2i | 0.873546 | + | 0.486742i | ||||
\(325\) | −48500.0 | −0.459172 | ||||||||
\(326\) | 103832. | − | 69983.3i | 0.977008 | − | 0.658505i | ||||
\(327\) | 59599.2 | + | 157489.i | 0.557372 | + | 1.47284i | ||||
\(328\) | −80943.1 | − | 90085.6i | −0.752371 | − | 0.837351i | ||||
\(329\) | 83017.6 | + | 143791.i | 0.766970 | + | 1.32843i | ||||
\(330\) | 101019. | + | 71503.2i | 0.927629 | + | 0.656595i | ||||
\(331\) | 99528.9 | + | 57463.0i | 0.908433 | + | 0.524484i | 0.879927 | − | 0.475109i | \(-0.157592\pi\) |
0.0285065 | + | 0.999594i | \(0.490925\pi\) | |||||||
\(332\) | −39776.0 | + | 31031.8i | −0.360865 | + | 0.281534i | ||||
\(333\) | −61708.5 | + | 54511.8i | −0.556488 | + | 0.491589i | ||||
\(334\) | 93604.0 | + | 45694.1i | 0.839076 | + | 0.409607i | ||||
\(335\) | −280670. | − | 162045.i | −2.50096 | − | 1.44393i | ||||
\(336\) | −111925. | + | 83270.0i | −0.991401 | + | 0.737581i | ||||
\(337\) | −61646.2 | − | 106774.i | −0.542808 | − | 0.940171i | −0.998741 | − | 0.0501573i | \(-0.984028\pi\) |
0.455933 | − | 0.890014i | \(-0.349306\pi\) | |||||||
\(338\) | −110088. | + | 7659.55i | −0.963621 | + | 0.0670456i | ||||
\(339\) | −56975.6 | + | 69680.8i | −0.495780 | + | 0.606336i | ||||
\(340\) | 39807.2 | − | 5566.25i | 0.344353 | − | 0.0481509i | ||||
\(341\) | −20453.8 | −0.175900 | ||||||||
\(342\) | 4477.73 | − | 17235.5i | 0.0382830 | − | 0.147357i | ||||
\(343\) | 68777.2i | 0.584597i | ||||||||
\(344\) | 46811.9 | + | 15264.2i | 0.395584 | + | 0.128990i | ||||
\(345\) | 19065.6 | − | 116789.i | 0.160181 | − | 0.981210i | ||||
\(346\) | 62492.0 | − | 4347.99i | 0.522002 | − | 0.0363192i | ||||
\(347\) | 82843.4 | − | 47829.7i | 0.688017 | − | 0.397227i | −0.114852 | − | 0.993383i | \(-0.536639\pi\) |
0.802869 | + | 0.596156i | \(0.203306\pi\) | |||||||
\(348\) | −33466.1 | + | 55017.0i | −0.276342 | + | 0.454295i | ||||
\(349\) | −21543.6 | + | 37314.5i | −0.176875 | + | 0.306357i | −0.940809 | − | 0.338938i | \(-0.889932\pi\) |
0.763934 | + | 0.645295i | \(0.223266\pi\) | |||||||
\(350\) | −338491. | − | 165239.i | −2.76319 | − | 1.34889i | ||||
\(351\) | −866.734 | − | 22717.2i | −0.00703512 | − | 0.184391i | ||||
\(352\) | 48563.1 | − | 57670.9i | 0.391941 | − | 0.465448i | ||||
\(353\) | 56436.9 | − | 97751.7i | 0.452912 | − | 0.784467i | −0.545653 | − | 0.838011i | \(-0.683718\pi\) |
0.998565 | + | 0.0535440i | \(0.0170517\pi\) | |||||||
\(354\) | 1007.48 | − | 10877.5i | 0.00803949 | − | 0.0868007i | ||||
\(355\) | −241476. | + | 139416.i | −1.91610 | + | 1.10626i | ||||
\(356\) | 42823.5 | − | 105780.i | 0.337895 | − | 0.834645i | ||||
\(357\) | 4723.63 | − | 28935.2i | 0.0370629 | − | 0.227033i | ||||
\(358\) | −122185. | + | 82352.8i | −0.953348 | + | 0.642558i | ||||
\(359\) | − | 223134.i | − | 1.73132i | −0.500632 | − | 0.865660i | \(-0.666899\pi\) | ||
0.500632 | − | 0.865660i | \(-0.333101\pi\) | |||||||
\(360\) | 240451. | + | 27835.0i | 1.85533 | + | 0.214776i | ||||
\(361\) | 127300. | 0.976820 | ||||||||
\(362\) | −127343. | − | 188936.i | −0.971758 | − | 1.44177i | ||||
\(363\) | 52526.3 | − | 64239.4i | 0.398624 | − | 0.487515i | ||||
\(364\) | 28003.2 | + | 11336.7i | 0.211351 | + | 0.0855628i | ||||
\(365\) | 101305. | + | 175465.i | 0.760404 | + | 1.31706i | ||||
\(366\) | 14391.1 | + | 31276.5i | 0.107432 | + | 0.233483i | ||||
\(367\) | 92257.6 | + | 53265.0i | 0.684968 | + | 0.395466i | 0.801724 | − | 0.597694i | \(-0.203916\pi\) |
−0.116756 | + | 0.993161i | \(0.537250\pi\) | |||||||
\(368\) | −69921.2 | − | 17536.9i | −0.516313 | − | 0.129496i | ||||
\(369\) | 145320. | + | 48745.7i | 1.06727 | + | 0.358000i | ||||
\(370\) | −83287.1 | + | 170613.i | −0.608379 | + | 1.24626i | ||||
\(371\) | 243708. | + | 140705.i | 1.77061 | + | 1.02226i | ||||
\(372\) | −35092.8 | + | 19203.5i | −0.253590 | + | 0.138770i | ||||
\(373\) | −71440.5 | − | 123739.i | −0.513484 | − | 0.889380i | −0.999878 | − | 0.0156403i | \(-0.995021\pi\) |
0.486394 | − | 0.873740i | \(-0.338312\pi\) | |||||||
\(374\) | 1099.78 | + | 15806.8i | 0.00786256 | + | 0.113006i | ||||
\(375\) | 138363. | + | 365620.i | 0.983914 | + | 2.59997i | ||||
\(376\) | −166854. | − | 54407.1i | −1.18022 | − | 0.384840i | ||||
\(377\) | 13945.7 | 0.0981197 | ||||||||
\(378\) | 71348.1 | − | 161501.i | 0.499343 | − | 1.13029i | ||||
\(379\) | − | 95242.7i | − | 0.663061i | −0.943445 | − | 0.331530i | \(-0.892435\pi\) | ||
0.943445 | − | 0.331530i | \(-0.107565\pi\) | |||||||
\(380\) | −5686.32 | − | 40665.8i | −0.0393789 | − | 0.281619i | ||||
\(381\) | −158953. | + | 60153.2i | −1.09501 | + | 0.414390i | ||||
\(382\) | −10847.7 | − | 155910.i | −0.0743381 | − | 1.06843i | ||||
\(383\) | −46899.6 | + | 27077.5i | −0.319721 | + | 0.184591i | −0.651268 | − | 0.758848i | \(-0.725763\pi\) |
0.331547 | + | 0.943439i | \(0.392429\pi\) | |||||||
\(384\) | 29174.6 | − | 144541.i | 0.197853 | − | 0.980232i | ||||
\(385\) | 104079. | − | 180270.i | 0.702169 | − | 1.21619i | ||||
\(386\) | −7110.07 | + | 14564.9i | −0.0477199 | + | 0.0977538i | ||||
\(387\) | −61074.8 | + | 12377.7i | −0.407793 | + | 0.0826451i | ||||
\(388\) | 19297.9 | + | 24735.7i | 0.128188 | + | 0.164309i | ||||
\(389\) | −6513.23 | + | 11281.2i | −0.0430425 | + | 0.0745518i | −0.886744 | − | 0.462261i | \(-0.847038\pi\) |
0.843702 | + | 0.536813i | \(0.180372\pi\) | |||||||
\(390\) | −21911.6 | − | 47620.9i | −0.144060 | − | 0.313089i | ||||
\(391\) | 13120.2 | − | 7574.94i | 0.0858196 | − | 0.0495480i | ||||
\(392\) | 54113.9 | + | 60226.0i | 0.352157 | + | 0.391933i | ||||
\(393\) | 206770. | + | 169069.i | 1.33876 | + | 1.09466i | ||||
\(394\) | 100311. | + | 148829.i | 0.646185 | + | 0.958730i | ||||
\(395\) | 177609.i | 1.13834i | ||||||||
\(396\) | −17525.5 | + | 93797.8i | −0.111758 | + | 0.598139i | ||||
\(397\) | 54407.2 | 0.345204 | 0.172602 | − | 0.984992i | \(-0.444783\pi\) | ||||
0.172602 | + | 0.984992i | \(0.444783\pi\) | |||||||
\(398\) | −186599. | + | 125768.i | −1.17800 | + | 0.793972i | ||||
\(399\) | −29559.3 | − | 4825.53i | −0.185673 | − | 0.0303109i | ||||
\(400\) | 382872. | − | 109210.i | 2.39295 | − | 0.682560i | ||||
\(401\) | −25211.2 | − | 43667.1i | −0.156785 | − | 0.271560i | 0.776922 | − | 0.629596i | \(-0.216780\pi\) |
−0.933708 | + | 0.358036i | \(0.883446\pi\) | |||||||
\(402\) | 23044.4 | − | 248806.i | 0.142598 | − | 1.53960i | ||||
\(403\) | 7502.54 | + | 4331.59i | 0.0461953 | + | 0.0266709i | ||||
\(404\) | 75781.0 | + | 97134.7i | 0.464299 | + | 0.595130i | ||||
\(405\) | −282181. | + | 119275.i | −1.72035 | + | 0.727175i | ||||
\(406\) | 97329.6 | + | 47512.8i | 0.590463 | + | 0.288243i | ||||
\(407\) | −64816.0 | − | 37421.6i | −0.391285 | − | 0.225909i | ||||
\(408\) | 16727.4 | + | 26087.3i | 0.100487 | + | 0.156714i | ||||
\(409\) | −20416.9 | − | 35363.2i | −0.122052 | − | 0.211400i | 0.798525 | − | 0.601962i | \(-0.205614\pi\) |
−0.920577 | + | 0.390562i | \(0.872281\pi\) | |||||||
\(410\) | 352580. | − | 24531.4i | 2.09744 | − | 0.145933i | ||||
\(411\) | −148031. | − | 24165.8i | −0.876331 | − | 0.143060i | ||||
\(412\) | −8174.97 | − | 58463.5i | −0.0481606 | − | 0.344422i | ||||
\(413\) | −18373.2 | −0.107717 | ||||||||
\(414\) | 87943.6 | − | 24284.3i | 0.513102 | − | 0.141685i | ||||
\(415\) | − | 147226.i | − | 0.854850i | ||||||
\(416\) | −30026.4 | + | 10869.5i | −0.173507 | + | 0.0628091i | ||||
\(417\) | −28528.0 | − | 23326.3i | −0.164059 | − | 0.134145i | ||||
\(418\) | 16147.7 | − | 1123.51i | 0.0924186 | − | 0.00643018i | ||||
\(419\) | −28866.9 | + | 16666.3i | −0.164427 | + | 0.0949318i | −0.579955 | − | 0.814648i | \(-0.696930\pi\) |
0.415529 | + | 0.909580i | \(0.363597\pi\) | |||||||
\(420\) | 9318.80 | − | 407008.i | 0.0528276 | − | 2.30730i | ||||
\(421\) | −4180.31 | + | 7240.51i | −0.0235855 | + | 0.0408512i | −0.877577 | − | 0.479435i | \(-0.840842\pi\) |
0.853992 | + | 0.520287i | \(0.174175\pi\) | |||||||
\(422\) | 262777. | + | 128278.i | 1.47558 | + | 0.720324i | ||||
\(423\) | 217692. | − | 44118.5i | 1.21664 | − | 0.246570i | ||||
\(424\) | −291017. | + | 61539.7i | −1.61877 | + | 0.342313i | ||||
\(425\) | −41837.2 | + | 72464.1i | −0.231625 | + | 0.401186i | ||||
\(426\) | −175469. | − | 124201.i | −0.966901 | − | 0.684393i | ||||
\(427\) | 50147.4 | − | 28952.6i | 0.275038 | − | 0.158793i | ||||
\(428\) | −203797. | − | 82504.6i | −1.11253 | − | 0.450392i | ||||
\(429\) | 19326.8 | − | 7313.91i | 0.105014 | − | 0.0397407i | ||||
\(430\) | −119153. | + | 80309.6i | −0.644421 | + | 0.434341i | ||||
\(431\) | 88445.3i | 0.476124i | 0.971250 | + | 0.238062i | \(0.0765122\pi\) | ||||
−0.971250 | + | 0.238062i | \(0.923488\pi\) | |||||||
\(432\) | 57995.5 | + | 177384.i | 0.310761 | + | 0.950488i | ||||
\(433\) | 119092. | 0.635195 | 0.317598 | − | 0.948226i | \(-0.397124\pi\) | ||||
0.317598 | + | 0.948226i | \(0.397124\pi\) | |||||||
\(434\) | 37604.0 | + | 55792.2i | 0.199643 | + | 0.296206i | ||||
\(435\) | −66514.8 | − | 175763.i | −0.351512 | − | 0.928860i | ||||
\(436\) | −112335. | + | 277482.i | −0.590939 | + | 1.45970i | ||||
\(437\) | −7738.34 | − | 13403.2i | −0.0405214 | − | 0.0701852i | ||||
\(438\) | −90248.7 | + | 127502.i | −0.470428 | + | 0.664614i | ||||
\(439\) | −103483. | − | 59746.2i | −0.536960 | − | 0.310014i | 0.206886 | − | 0.978365i | \(-0.433667\pi\) |
−0.743846 | + | 0.668351i | \(0.767000\pi\) | |||||||
\(440\) | 45520.7 | + | 215264.i | 0.235128 | + | 1.11190i | ||||
\(441\) | −97152.5 | − | 32588.5i | −0.499547 | − | 0.167567i | ||||
\(442\) | 2944.07 | − | 6030.90i | 0.0150696 | − | 0.0308700i | ||||
\(443\) | 176414. | + | 101853.i | 0.898930 | + | 0.518998i | 0.876853 | − | 0.480759i | \(-0.159639\pi\) |
0.0220772 | + | 0.999756i | \(0.492972\pi\) | |||||||
\(444\) | −146340. | − | 3350.57i | −0.742328 | − | 0.0169962i | ||||
\(445\) | 166518. | + | 288418.i | 0.840894 | + | 1.45647i | ||||
\(446\) | −21074.4 | − | 302894.i | −0.105946 | − | 1.52272i | ||||
\(447\) | −33436.6 | + | 40892.8i | −0.167343 | + | 0.204659i | ||||
\(448\) | −246592. | − | 26439.2i | −1.22864 | − | 0.131732i | ||||
\(449\) | 77156.2 | 0.382717 | 0.191359 | − | 0.981520i | \(-0.438711\pi\) | ||||
0.191359 | + | 0.981520i | \(0.438711\pi\) | |||||||
\(450\) | −353585. | + | 359016.i | −1.74610 | + | 1.77292i | ||||
\(451\) | 139326.i | 0.684982i | ||||||||
\(452\) | −158474. | + | 22159.5i | −0.775679 | + | 0.108463i | ||||
\(453\) | 48097.2 | − | 294625.i | 0.234382 | − | 1.43573i | ||||
\(454\) | −11448.9 | − | 164551.i | −0.0555461 | − | 0.798343i | ||||
\(455\) | −76353.2 | + | 44082.6i | −0.368812 | + | 0.212934i | ||||
\(456\) | 26650.0 | − | 17088.3i | 0.128164 | − | 0.0821804i | ||||
\(457\) | −140420. | + | 243215.i | −0.672353 | + | 1.16455i | 0.304882 | + | 0.952390i | \(0.401383\pi\) |
−0.977235 | + | 0.212159i | \(0.931951\pi\) | |||||||
\(458\) | −48403.1 | + | 99153.4i | −0.230750 | + | 0.472690i | ||||
\(459\) | −34689.5 | − | 18301.3i | −0.164654 | − | 0.0868675i | ||||
\(460\) | 165866. | − | 129403.i | 0.783866 | − | 0.611544i | ||||
\(461\) | 200811. | − | 347814.i | 0.944898 | − | 1.63661i | 0.188942 | − | 0.981988i | \(-0.439494\pi\) |
0.755956 | − | 0.654623i | \(-0.227173\pi\) | |||||||
\(462\) | 159804. | + | 14801.1i | 0.748694 | + | 0.0693441i | ||||
\(463\) | −51806.1 | + | 29910.3i | −0.241668 | + | 0.139527i | −0.615943 | − | 0.787791i | \(-0.711225\pi\) |
0.374275 | + | 0.927318i | \(0.377892\pi\) | |||||||
\(464\) | −110091. | + | 31402.1i | −0.511347 | + | 0.145855i | ||||
\(465\) | 18809.2 | − | 115218.i | 0.0869888 | − | 0.532861i | ||||
\(466\) | −110507. | − | 163957.i | −0.508883 | − | 0.755018i | ||||
\(467\) | − | 208473.i | − | 0.955909i | −0.878385 | − | 0.477955i | \(-0.841378\pi\) | ||
0.878385 | − | 0.477955i | \(-0.158622\pi\) | |||||||
\(468\) | 26292.4 | − | 30694.0i | 0.120043 | − | 0.140140i | ||||
\(469\) | −420257. | −1.91060 | ||||||||
\(470\) | 424705. | − | 286252.i | 1.92261 | − | 1.29584i | ||||
\(471\) | 126350. | − | 154526.i | 0.569554 | − | 0.696562i | ||||
\(472\) | 14445.9 | − | 12979.8i | 0.0648425 | − | 0.0582619i | ||||
\(473\) | −28322.1 | − | 49055.4i | −0.126591 | − | 0.219263i | ||||
\(474\) | −124399. | + | 57238.9i | −0.553680 | + | 0.254762i | ||||
\(475\) | 74027.3 | + | 42739.7i | 0.328099 | + | 0.189428i | ||||
\(476\) | 41094.5 | − | 32060.4i | 0.181372 | − | 0.141500i | ||||
\(477\) | 282143. | − | 249239.i | 1.24003 | − | 1.09541i | ||||
\(478\) | 402790. | + | 196628.i | 1.76288 | + | 0.860575i | ||||
\(479\) | −138667. | − | 80059.3i | −0.604368 | − | 0.348932i | 0.166390 | − | 0.986060i | \(-0.446789\pi\) |
−0.770758 | + | 0.637128i | \(0.780122\pi\) | |||||||
\(480\) | 280206. | + | 326593.i | 1.21617 | + | 1.41750i | ||||
\(481\) | 15849.9 | + | 27452.8i | 0.0685070 | + | 0.118658i | ||||
\(482\) | 163990. | − | 11409.9i | 0.705867 | − | 0.0491119i | ||||
\(483\) | −54310.8 | − | 143515.i | −0.232805 | − | 0.615181i | ||||
\(484\) | 146099. | − | 20429.1i | 0.623672 | − | 0.0872083i | ||||
\(485\) | −91556.4 | −0.389229 | ||||||||
\(486\) | −174480. | − | 159202.i | −0.738710 | − | 0.674023i | ||||
\(487\) | − | 371960.i | − | 1.56834i | −0.620549 | − | 0.784168i | \(-0.713090\pi\) | ||
0.620549 | − | 0.784168i | \(-0.286910\pi\) | |||||||
\(488\) | −18974.6 | + | 58190.8i | −0.0796771 | + | 0.244351i | ||||
\(489\) | −263497. | + | 99716.2i | −1.10194 | + | 0.417011i | ||||
\(490\) | −235715. | + | 16400.2i | −0.981735 | + | 0.0683059i | ||||
\(491\) | −57863.4 | + | 33407.4i | −0.240016 | + | 0.138574i | −0.615184 | − | 0.788383i | \(-0.710918\pi\) |
0.375168 | + | 0.926957i | \(0.377585\pi\) | |||||||
\(492\) | 130809. | + | 239043.i | 0.540392 | + | 0.987520i | ||||
\(493\) | 12029.8 | − | 20836.3i | 0.0494955 | − | 0.0857288i | ||||
\(494\) | −6160.99 | − | 3007.57i | −0.0252462 | − | 0.0123243i | ||||
\(495\) | −184361. | − | 208700.i | −0.752418 | − | 0.851752i | ||||
\(496\) | −68980.8 | − | 17301.0i | −0.280391 | − | 0.0703246i | ||||
\(497\) | −180785. | + | 313129.i | −0.731896 | + | 1.26768i | ||||
\(498\) | 103118. | − | 47447.3i | 0.415792 | − | 0.191317i | ||||
\(499\) | −288151. | + | 166364.i | −1.15723 | + | 0.668127i | −0.950638 | − | 0.310301i | \(-0.899570\pi\) |
−0.206591 | + | 0.978427i | \(0.566237\pi\) | |||||||
\(500\) | −260792. | + | 644191.i | −1.04317 | + | 2.57676i | ||||
\(501\) | −181434. | − | 148352.i | −0.722840 | − | 0.591041i | ||||
\(502\) | 168659. | − | 113677.i | 0.669273 | − | 0.451091i | ||||
\(503\) | − | 12673.0i | − | 0.0500892i | −0.999686 | − | 0.0250446i | \(-0.992027\pi\) | ||
0.999686 | − | 0.0250446i | \(-0.00797278\pi\) | |||||||
\(504\) | 288074. | − | 124641.i | 1.13408 | − | 0.490683i | ||||
\(505\) | −359533. | −1.40980 | ||||||||
\(506\) | 46350.3 | + | 68768.8i | 0.181030 | + | 0.268590i | ||||
\(507\) | 245053. | + | 40004.6i | 0.953331 | + | 0.155630i | ||||
\(508\) | −280062. | − | 113379.i | −1.08524 | − | 0.439346i | ||||
\(509\) | 19452.7 | + | 33693.0i | 0.0750834 | + | 0.130048i | 0.901123 | − | 0.433564i | \(-0.142744\pi\) |
−0.826039 | + | 0.563613i | \(0.809411\pi\) | |||||||
\(510\) | −90052.1 | − | 8340.63i | −0.346221 | − | 0.0320670i | ||||
\(511\) | 227530. | + | 131365.i | 0.871360 | + | 0.503080i | ||||
\(512\) | 212561. | − | 153419.i | 0.810856 | − | 0.585245i | ||||
\(513\) | −18696.1 | + | 35437.8i | −0.0710422 | + | 0.134658i | ||||
\(514\) | −22478.3 | + | 46046.5i | −0.0850817 | + | 0.174289i | ||||
\(515\) | 149195. | + | 86137.5i | 0.562521 | + | 0.324772i | ||||
\(516\) | −94649.3 | − | 57573.9i | −0.355482 | − | 0.216235i | ||||
\(517\) | 100950. | + | 174851.i | 0.377682 | + | 0.654164i | ||||
\(518\) | 17087.9 | + | 245599.i | 0.0636840 | + | 0.915306i | ||||
\(519\) | −139105. | − | 22708.8i | −0.516428 | − | 0.0843062i | ||||
\(520\) | 28890.3 | − | 88600.0i | 0.106843 | − | 0.327663i | ||||
\(521\) | 28001.3 | 0.103158 | 0.0515790 | − | 0.998669i | \(-0.483575\pi\) | ||||
0.0515790 | + | 0.998669i | \(0.483575\pi\) | |||||||
\(522\) | 101670. | − | 103231.i | 0.373122 | − | 0.378853i | ||||
\(523\) | 306435.i | 1.12030i | 0.828391 | + | 0.560151i | \(0.189257\pi\) | ||||
−0.828391 | + | 0.560151i | \(0.810743\pi\) | |||||||
\(524\) | 65755.8 | + | 470255.i | 0.239481 | + | 1.71266i | ||||
\(525\) | 656101. | + | 536471.i | 2.38041 | + | 1.94638i | ||||
\(526\) | 8798.63 | + | 126459.i | 0.0318012 | + | 0.457067i | ||||
\(527\) | 12943.7 | − | 7473.06i | 0.0466056 | − | 0.0269077i | ||||
\(528\) | −136102. | + | 101257.i | −0.488199 | + | 0.363210i | ||||
\(529\) | −100274. | + | 173680.i | −0.358326 | + | 0.620638i | ||||
\(530\) | 380805. | − | 780076.i | 1.35566 | − | 2.77706i | ||||
\(531\) | −7816.72 | + | 23303.1i | −0.0277227 | + | 0.0826465i | ||||
\(532\) | −32752.0 | − | 41980.9i | −0.115722 | − | 0.148330i | ||||
\(533\) | 29505.7 | − | 51105.4i | 0.103861 | − | 0.179892i | ||||
\(534\) | −148345. | + | 209580.i | −0.520223 | + | 0.734965i | ||||
\(535\) | 555671. | − | 320817.i | 1.94138 | − | 1.12086i | ||||
\(536\) | 330426. | − | 296893.i | 1.15013 | − | 1.03340i | ||||
\(537\) | 310070. | − | 117341.i | 1.07526 | − | 0.406913i | ||||
\(538\) | 122719. | + | 182076.i | 0.423983 | + | 0.629054i | ||||
\(539\) | − | 93145.3i | − | 0.320615i | ||||||
\(540\) | −512253. | − | 184978.i | −1.75670 | − | 0.634355i | ||||
\(541\) | 387269. | 1.32318 | 0.661590 | − | 0.749866i | \(-0.269882\pi\) | ||||
0.661590 | + | 0.749866i | \(0.269882\pi\) | |||||||
\(542\) | −352695. | + | 237717.i | −1.20061 | + | 0.809211i | ||||
\(543\) | 181446. | + | 479465.i | 0.615385 | + | 1.62614i | ||||
\(544\) | −9661.23 | + | 54238.9i | −0.0326464 | + | 0.183279i | ||||
\(545\) | −436812. | − | 756581.i | −1.47062 | − | 2.54720i | ||||
\(546\) | −55482.3 | − | 39271.5i | −0.186110 | − | 0.131732i | ||||
\(547\) | −220183. | − | 127123.i | −0.735883 | − | 0.424862i | 0.0846877 | − | 0.996408i | \(-0.473011\pi\) |
−0.820570 | + | 0.571545i | \(0.806344\pi\) | |||||||
\(548\) | −164019. | − | 210237.i | −0.546177 | − | 0.700080i | ||||
\(549\) | −15386.4 | − | 75920.7i | −0.0510497 | − | 0.251893i | ||||
\(550\) | −411609. | − | 200933.i | −1.36069 | − | 0.664240i | ||||
\(551\) | −21285.8 | − | 12289.3i | −0.0701109 | − | 0.0404786i | ||||
\(552\) | 144089. | + | 74470.3i | 0.472881 | + | 0.244402i | ||||
\(553\) | 115156. | + | 199455.i | 0.376560 | + | 0.652221i | ||||
\(554\) | −200847. | + | 13974.3i | −0.654404 | + | 0.0455312i | ||||
\(555\) | 270403. | − | 330701.i | 0.877859 | − | 1.07362i | ||||
\(556\) | −9072.31 | − | 64880.9i | −0.0293473 | − | 0.209878i | ||||
\(557\) | −154243. | −0.497159 | −0.248580 | − | 0.968611i | \(-0.579964\pi\) | ||||
−0.248580 | + | 0.968611i | \(0.579964\pi\) | |||||||
\(558\) | 86760.8 | − | 23957.7i | 0.278648 | − | 0.0769443i | ||||
\(559\) | 23991.6i | 0.0767779i | ||||||||
\(560\) | 503491. | − | 519928.i | 1.60552 | − | 1.65793i | ||||
\(561\) | 5743.98 | − | 35185.5i | 0.0182510 | − | 0.111799i | ||||
\(562\) | −24326.8 | + | 1692.58i | −0.0770216 | + | 0.00535891i | ||||
\(563\) | −188653. | + | 108919.i | −0.595177 | + | 0.343626i | −0.767142 | − | 0.641477i | \(-0.778322\pi\) |
0.171965 | + | 0.985103i | \(0.444988\pi\) | |||||||
\(564\) | 337364. | + | 205214.i | 1.06057 | + | 0.645133i | ||||
\(565\) | 233489. | − | 404415.i | 0.731425 | − | 1.26686i | ||||
\(566\) | −184682. | − | 90155.2i | −0.576490 | − | 0.281422i | ||||
\(567\) | −239555. | + | 316901.i | −0.745143 | + | 0.985730i | ||||
\(568\) | −79069.4 | − | 373914.i | −0.245082 | − | 1.15898i | ||||
\(569\) | −112165. | + | 194275.i | −0.346443 | + | 0.600057i | −0.985615 | − | 0.169007i | \(-0.945944\pi\) |
0.639172 | + | 0.769064i | \(0.279277\pi\) | |||||||
\(570\) | −8520.54 | + | 91994.6i | −0.0262251 | + | 0.283147i | ||||
\(571\) | −227168. | + | 131156.i | −0.696748 | + | 0.402268i | −0.806135 | − | 0.591732i | \(-0.798445\pi\) |
0.109387 | + | 0.993999i | \(0.465111\pi\) | |||||||
\(572\) | 34052.2 | + | 13785.6i | 0.104076 | + | 0.0421340i | ||||
\(573\) | −56655.8 | + | 347052.i | −0.172558 | + | 1.05702i | ||||
\(574\) | 380042. | − | 256149.i | 1.15347 | − | 0.777443i | ||||
\(575\) | 437941.i | 1.32458i | ||||||||
\(576\) | −138444. | + | 301510.i | −0.417282 | + | 0.908777i | ||||
\(577\) | 450994. | 1.35462 | 0.677312 | − | 0.735696i | \(-0.263145\pi\) | ||||
0.677312 | + | 0.735696i | \(0.263145\pi\) | |||||||
\(578\) | 180250. | + | 267432.i | 0.539534 | + | 0.800494i | ||||
\(579\) | 23083.8 | − | 28231.3i | 0.0688573 | − | 0.0842121i | ||||
\(580\) | 125370. | − | 309680.i | 0.372681 | − | 0.920570i | ||||
\(581\) | −95456.3 | − | 165335.i | −0.282782 | − | 0.489794i | ||||
\(582\) | −29506.2 | − | 64126.5i | −0.0871100 | − | 0.189318i | ||||
\(583\) | 296351. | + | 171099.i | 0.871907 | + | 0.503396i | ||||
\(584\) | −271699. | + | 57454.6i | −0.796640 | + | 0.168461i | ||||
\(585\) | 23427.0 | + | 115595.i | 0.0684550 | + | 0.337775i | ||||
\(586\) | −160175. | + | 328117.i | −0.466443 | + | 0.955505i | ||||
\(587\) | −307738. | − | 177673.i | −0.893111 | − | 0.515638i | −0.0181523 | − | 0.999835i | \(-0.505778\pi\) |
−0.874959 | + | 0.484197i | \(0.839112\pi\) | |||||||
\(588\) | −87451.6 | − | 159810.i | −0.252937 | − | 0.462222i | ||||
\(589\) | −7634.26 | − | 13222.9i | −0.0220058 | − | 0.0381151i | ||||
\(590\) | 3933.78 | + | 56538.8i | 0.0113007 | + | 0.162421i | ||||
\(591\) | −142929. | − | 377686.i | −0.409210 | − | 1.08133i | ||||
\(592\) | −186940. | − | 181030.i | −0.533406 | − | 0.516543i | ||||
\(593\) | 89819.5 | 0.255424 | 0.127712 | − | 0.991811i | \(-0.459237\pi\) | ||||
0.127712 | + | 0.991811i | \(0.459237\pi\) | |||||||
\(594\) | 86760.0 | − | 196386.i | 0.245893 | − | 0.556594i | ||||
\(595\) | 152106.i | 0.429649i | ||||||||
\(596\) | −93002.0 | + | 13004.5i | −0.261818 | + | 0.0366101i | ||||
\(597\) | 473536. | − | 179202.i | 1.32863 | − | 0.502799i | ||||
\(598\) | −2438.00 | − | 35040.5i | −0.00681759 | − | 0.0979868i | ||||
\(599\) | −357687. | + | 206511.i | −0.996896 | + | 0.575558i | −0.907328 | − | 0.420422i | \(-0.861882\pi\) |
−0.0895677 | + | 0.995981i | \(0.528549\pi\) | |||||||
\(600\) | −894851. | + | 41706.0i | −2.48570 | + | 0.115850i | ||||
\(601\) | −129317. | + | 223984.i | −0.358020 | + | 0.620110i | −0.987630 | − | 0.156802i | \(-0.949882\pi\) |
0.629610 | + | 0.776912i | \(0.283215\pi\) | |||||||
\(602\) | −81739.3 | + | 167442.i | −0.225548 | + | 0.462032i | ||||
\(603\) | −178795. | + | 533021.i | −0.491723 | + | 1.46592i | ||||
\(604\) | 418434. | − | 326447.i | 1.14697 | − | 0.894828i | ||||
\(605\) | −215256. | + | 372834.i | −0.588090 | + | 1.01860i | ||||
\(606\) | −115868. | − | 251819.i | −0.315514 | − | 0.685714i | ||||
\(607\) | 267430. | − | 154401.i | 0.725825 | − | 0.419055i | −0.0910678 | − | 0.995845i | \(-0.529028\pi\) |
0.816893 | + | 0.576789i | \(0.195695\pi\) | |||||||
\(608\) | 55408.8 | + | 9869.63i | 0.149890 | + | 0.0266989i | ||||
\(609\) | −188655. | − | 154256.i | −0.508667 | − | 0.415919i | ||||
\(610\) | −99831.1 | − | 148117.i | −0.268291 | − | 0.398057i | ||||
\(611\) | − | 85514.7i | − | 0.229065i | ||||||
\(612\) | −23179.6 | − | 65760.9i | −0.0618876 | − | 0.175576i | ||||
\(613\) | −464349. | −1.23573 | −0.617865 | − | 0.786284i | \(-0.712002\pi\) | ||||
−0.617865 | + | 0.786284i | \(0.712002\pi\) | |||||||
\(614\) | −358825. | + | 241848.i | −0.951800 | + | 0.641515i | ||||
\(615\) | −784834. | − | 128123.i | −2.07505 | − | 0.338749i | ||||
\(616\) | 190689. | + | 212228.i | 0.502534 | + | 0.559295i | ||||
\(617\) | 253688. | + | 439401.i | 0.666392 | + | 1.15423i | 0.978906 | + | 0.204312i | \(0.0654958\pi\) |
−0.312513 | + | 0.949913i | \(0.601171\pi\) | |||||||
\(618\) | −12249.6 | + | 132257.i | −0.0320734 | + | 0.346290i | ||||
\(619\) | 244884. | + | 141384.i | 0.639115 | + | 0.368993i | 0.784273 | − | 0.620415i | \(-0.213036\pi\) |
−0.145159 | + | 0.989408i | \(0.546369\pi\) | |||||||
\(620\) | 163635. | − | 127662.i | 0.425690 | − | 0.332108i | ||||
\(621\) | −205129. | + | 7826.35i | −0.531918 | + | 0.0202944i | ||||
\(622\) | −359750. | − | 175617.i | −0.929865 | − | 0.453927i | ||||
\(623\) | 373999. | + | 215929.i | 0.963595 | + | 0.556332i | ||||
\(624\) | 71366.5 | − | 8318.57i | 0.183284 | − | 0.0213638i | ||||
\(625\) | −528069. | − | 914643.i | −1.35186 | − | 2.34149i | ||||
\(626\) | −605698. | + | 42142.5i | −1.54564 | + | 0.107540i | ||||
\(627\) | −35944.4 | − | 5867.89i | −0.0914317 | − | 0.0149261i | ||||
\(628\) | 351437. | − | 49141.5i | 0.891103 | − | 0.124603i | ||||
\(629\) | 54689.8 | 0.138231 | ||||||||
\(630\) | −230330. | + | 886578.i | −0.580323 | + | 2.23376i | ||||
\(631\) | 403620.i | 1.01371i | 0.862031 | + | 0.506855i | \(0.169192\pi\) | ||||
−0.862031 | + | 0.506855i | \(0.830808\pi\) | |||||||
\(632\) | −231447. | − | 75469.2i | −0.579452 | − | 0.188945i | ||||
\(633\) | −509343. | − | 416472.i | −1.27117 | − | 1.03939i | ||||
\(634\) | 448531. | − | 31207.3i | 1.11587 | − | 0.0776387i | ||||
\(635\) | 763614. | − | 440873.i | 1.89377 | − | 1.09337i | ||||
\(636\) | 669093. | + | 15319.4i | 1.65414 | + | 0.0378729i | ||||
\(637\) | −19725.8 | + | 34166.1i | −0.0486134 | + | 0.0842008i | ||||
\(638\) | 118354. | + | 57776.0i | 0.290764 | + | 0.141940i | ||||
\(639\) | 320235. | + | 362512.i | 0.784272 | + | 0.887811i | ||||
\(640\) | −28563.4 | + | 764487.i | −0.0697350 | + | 1.86642i | ||||
\(641\) | 181028. | − | 313549.i | 0.440584 | − | 0.763114i | −0.557149 | − | 0.830413i | \(-0.688105\pi\) |
0.997733 | + | 0.0672990i | \(0.0214381\pi\) | |||||||
\(642\) | 403780. | + | 285804.i | 0.979659 | + | 0.693423i | ||||
\(643\) | 346651. | − | 200139.i | 0.838437 | − | 0.484072i | −0.0182957 | − | 0.999833i | \(-0.505824\pi\) |
0.856733 | + | 0.515761i | \(0.172491\pi\) | |||||||
\(644\) | 102367. | − | 252861.i | 0.246825 | − | 0.609691i | ||||
\(645\) | 302377. | − | 114430.i | 0.726825 | − | 0.275055i | ||||
\(646\) | −9808.24 | + | 6610.77i | −0.0235031 | + | 0.0158412i | ||||
\(647\) | − | 98990.1i | − | 0.236474i | −0.992985 | − | 0.118237i | \(-0.962276\pi\) | ||
0.992985 | − | 0.118237i | \(-0.0377242\pi\) | |||||||
\(648\) | −35526.6 | − | 418398.i | −0.0846064 | − | 0.996414i | ||||
\(649\) | −22341.9 | −0.0530434 | ||||||||
\(650\) | 108427. | + | 160871.i | 0.256633 | + | 0.380760i | ||||
\(651\) | −53580.4 | − | 141585.i | −0.126428 | − | 0.334083i | ||||
\(652\) | −464259. | − | 187949.i | −1.09211 | − | 0.442125i | ||||
\(653\) | 269165. | + | 466208.i | 0.631237 | + | 1.09333i | 0.987299 | + | 0.158872i | \(0.0507859\pi\) |
−0.356062 | + | 0.934462i | \(0.615881\pi\) | |||||||
\(654\) | 389140. | − | 549772.i | 0.909809 | − | 1.28537i | ||||
\(655\) | −1.20006e6 | − | 692852.i | −2.79717 | − | 1.61495i | ||||
\(656\) | −117850. | + | 469879.i | −0.273856 | + | 1.09189i | ||||
\(657\) | 263414. | − | 232694.i | 0.610250 | − | 0.539081i | ||||
\(658\) | 291348. | − | 596824.i | 0.672915 | − | 1.37846i | ||||
\(659\) | −126219. | − | 72872.6i | −0.290639 | − | 0.167801i | 0.347591 | − | 0.937646i | \(-0.387000\pi\) |
−0.638230 | + | 0.769846i | \(0.720333\pi\) | |||||||
\(660\) | 11331.7 | − | 494926.i | 0.0260141 | − | 1.13619i | ||||
\(661\) | 126176. | + | 218543.i | 0.288784 | + | 0.500189i | 0.973520 | − | 0.228603i | \(-0.0734157\pi\) |
−0.684736 | + | 0.728792i | \(0.740082\pi\) | |||||||
\(662\) | −31907.6 | − | 458595.i | −0.0728077 | − | 1.04644i | ||||
\(663\) | −9558.30 | + | 11689.7i | −0.0217447 | + | 0.0265936i | ||||
\(664\) | 191854. | + | 62559.0i | 0.435146 | + | 0.141891i | ||||
\(665\) | 155388. | 0.351377 | ||||||||
\(666\) | 318768. | + | 82815.1i | 0.718665 | + | 0.186707i | ||||
\(667\) | − | 125925.i | − | 0.283049i | ||||||
\(668\) | −57698.5 | − | 412632.i | −0.129304 | − | 0.924720i | ||||
\(669\) | −110068. | + | 674234.i | −0.245928 | + | 1.50646i | ||||
\(670\) | 89979.0 | + | 1.29323e6i | 0.200443 | + | 2.88090i | ||||
\(671\) | 60979.7 | − | 35206.7i | 0.135438 | − | 0.0781951i | ||||
\(672\) | 526422. | + | 185088.i | 1.16572 | + | 0.409865i | ||||
\(673\) | −327332. | + | 566956.i | −0.722701 | + | 1.25175i | 0.237213 | + | 0.971458i | \(0.423766\pi\) |
−0.959913 | + | 0.280297i | \(0.909567\pi\) | |||||||
\(674\) | −216346. | + | 443182.i | −0.476243 | + | 0.975580i | ||||
\(675\) | 959551. | − | 603910.i | 2.10601 | − | 1.32545i | ||||
\(676\) | 271520. | + | 348030.i | 0.594168 | + | 0.761594i | ||||
\(677\) | 106756. | − | 184907.i | 0.232924 | − | 0.403437i | −0.725743 | − | 0.687966i | \(-0.758504\pi\) |
0.958667 | + | 0.284529i | \(0.0918372\pi\) | |||||||
\(678\) | 358502. | + | 33204.5i | 0.779887 | + | 0.0722332i | ||||
\(679\) | −102818. | + | 59361.8i | −0.223012 | + | 0.128756i | ||||
\(680\) | −107456. | − | 119594.i | −0.232388 | − | 0.258637i | ||||
\(681\) | −59795.8 | + | 366287.i | −0.128937 | + | 0.789818i | ||||
\(682\) | 45726.9 | + | 67843.8i | 0.0983111 | + | 0.145862i | ||||
\(683\) | − | 885039.i | − | 1.89724i | −0.316425 | − | 0.948618i | \(-0.602483\pi\) | ||
0.316425 | − | 0.948618i | \(-0.397517\pi\) | |||||||
\(684\) | −67179.4 | + | 23679.6i | −0.143590 | + | 0.0506131i | ||||
\(685\) | 778168. | 1.65841 | ||||||||
\(686\) | 228129. | − | 153759.i | 0.484767 | − | 0.326733i | ||||
\(687\) | 157147. | − | 192190.i | 0.332961 | − | 0.407209i | ||||
\(688\) | −54023.0 | − | 189397.i | −0.114131 | − | 0.400124i | ||||
\(689\) | −72468.6 | − | 125519.i | −0.152655 | − | 0.264406i | ||||
\(690\) | −430003. | + | 197855.i | −0.903177 | + | 0.415575i | ||||
\(691\) | −382656. | − | 220927.i | −0.801406 | − | 0.462692i | 0.0425567 | − | 0.999094i | \(-0.486450\pi\) |
−0.843963 | + | 0.536402i | \(0.819783\pi\) | |||||||
\(692\) | −154130. | − | 197561.i | −0.321866 | − | 0.412562i | ||||
\(693\) | −342351. | − | 114837.i | −0.712862 | − | 0.239120i | ||||
\(694\) | −343854. | − | 167857.i | −0.713929 | − | 0.348514i | ||||
\(695\) | 165571. | + | 95592.6i | 0.342780 | + | 0.197904i | ||||
\(696\) | 257305. | − | 11992.1i | 0.531165 | − | 0.0247558i | ||||
\(697\) | −50904.6 | − | 88169.3i | −0.104783 | − | 0.181490i | ||||
\(698\) | 171933. | − | 11962.5i | 0.352897 | − | 0.0245534i | ||||
\(699\) | 157457. | + | 416075.i | 0.322260 | + | 0.851564i | ||||
\(700\) | 208650. | + | 1.49216e6i | 0.425816 | + | 3.04523i | ||||
\(701\) | 340679. | 0.693281 | 0.346640 | − | 0.937998i | \(-0.387322\pi\) | ||||
0.346640 | + | 0.937998i | \(0.387322\pi\) | |||||||
\(702\) | −73413.5 | + | 53661.7i | −0.148971 | + | 0.108891i | ||||
\(703\) | − | 55869.5i | − | 0.113048i | ||||||
\(704\) | −299859. | − | 32150.4i | −0.605022 | − | 0.0648695i | ||||
\(705\) | −1.07778e6 | + | 407868.i | −2.16846 | + | 0.820619i | ||||
\(706\) | −450407. | + | 31337.8i | −0.903640 | + | 0.0628723i | ||||
\(707\) | −403755. | + | 233108.i | −0.807755 | + | 0.466357i | ||||
\(708\) | −38332.3 | + | 20976.2i | −0.0764713 | + | 0.0418467i | ||||
\(709\) | 292720. | − | 507006.i | 0.582318 | − | 1.00860i | −0.412886 | − | 0.910783i | \(-0.635479\pi\) |
0.995204 | − | 0.0978214i | \(-0.0311874\pi\) | |||||||
\(710\) | 1.00228e6 | + | 489278.i | 1.98826 | + | 0.970597i | ||||
\(711\) | 301966. | − | 61197.7i | 0.597335 | − | 0.121059i | ||||
\(712\) | −446600. | + | 94440.0i | −0.880966 | + | 0.186293i | ||||
\(713\) | 39113.0 | − | 67745.8i | 0.0769383 | − | 0.133261i | ||||
\(714\) | −106536. | + | 49020.0i | −0.208978 | + | 0.0961561i | ||||
\(715\) | −92846.3 | + | 53604.8i | −0.181615 | + | 0.104856i | ||||
\(716\) | 546317. | + | 221169.i | 1.06566 | + | 0.431419i | ||||
\(717\) | −780732. | − | 638378.i | −1.51867 | − | 1.24176i | ||||
\(718\) | −740121. | + | 498843.i | −1.43567 | + | 0.967642i | ||||
\(719\) | − | 306988.i | − | 0.593832i | −0.954904 | − | 0.296916i | \(-0.904042\pi\) | ||
0.954904 | − | 0.296916i | \(-0.0959581\pi\) | |||||||
\(720\) | −445230. | − | 859789.i | −0.858855 | − | 1.65854i | ||||
\(721\) | 223394. | 0.429735 | ||||||||
\(722\) | −284594. | − | 422246.i | −0.545949 | − | 0.810011i | ||||
\(723\) | −365037. | − | 59591.8i | −0.698329 | − | 0.114001i | ||||
\(724\) | −341996. | + | 844775.i | −0.652446 | + | 1.61163i | ||||
\(725\) | 347749. | + | 602319.i | 0.661592 | + | 1.14591i | ||||
\(726\) | −330506. | − | 30611.5i | −0.627056 | − | 0.0580780i | ||||
\(727\) | 488481. | + | 282025.i | 0.924227 | + | 0.533603i | 0.884981 | − | 0.465627i | \(-0.154171\pi\) |
0.0392459 | + | 0.999230i | \(0.487504\pi\) | |||||||
\(728\) | −25001.2 | − | 118229.i | −0.0471736 | − | 0.223081i | ||||
\(729\) | 300016. | + | 438657.i | 0.564534 | + | 0.825410i | ||||
\(730\) | 355526. | − | 728293.i | 0.667154 | − | 1.36666i | ||||
\(731\) | 35846.0 | + | 20695.7i | 0.0670821 | + | 0.0387298i | ||||
\(732\) | 71569.0 | − | 117657.i | 0.133568 | − | 0.219581i | ||||
\(733\) | −290960. | − | 503957.i | −0.541533 | − | 0.937963i | −0.998816 | − | 0.0486418i | \(-0.984511\pi\) |
0.457283 | − | 0.889321i | \(-0.348823\pi\) | |||||||
\(734\) | −29576.5 | − | 425092.i | −0.0548978 | − | 0.789025i | ||||
\(735\) | 524694. | + | 85655.7i | 0.971252 | + | 0.158556i | ||||
\(736\) | 98148.4 | + | 271129.i | 0.181187 | + | 0.500519i | ||||
\(737\) | −511037. | −0.940843 | ||||||||
\(738\) | −163194. | − | 590993.i | −0.299633 | − | 1.08510i | ||||
\(739\) | 193774.i | 0.354818i | 0.984137 | + | 0.177409i | \(0.0567715\pi\) | ||||
−0.984137 | + | 0.177409i | \(0.943228\pi\) | |||||||
\(740\) | 752109. | − | 105168.i | 1.37346 | − | 0.192052i | ||||
\(741\) | 11941.9 | + | 9764.48i | 0.0217489 | + | 0.0177833i | ||||
\(742\) | −78129.4 | − | 1.12292e6i | −0.141908 | − | 2.03959i | ||||
\(743\) | −76480.8 | + | 44156.2i | −0.138540 | + | 0.0799861i | −0.567668 | − | 0.823258i | \(-0.692154\pi\) |
0.429128 | + | 0.903244i | \(0.358821\pi\) | |||||||
\(744\) | 142151. | + | 73468.7i | 0.256805 | + | 0.132726i | ||||
\(745\) | 137025. | − | 237334.i | 0.246881 | − | 0.427610i | ||||
\(746\) | −250719. | + | 513595.i | −0.450514 | + | 0.922875i | ||||
\(747\) | −250310. | + | 50728.8i | −0.448576 | + | 0.0909104i | ||||
\(748\) | 49971.3 | − | 38985.8i | 0.0893135 | − | 0.0696792i | ||||
\(749\) | 416012. | − | 720554.i | 0.741553 | − | 1.28441i | ||||
\(750\) | 903410. | − | 1.27633e6i | 1.60606 | − | 2.26903i | ||||
\(751\) | −474180. | + | 273768.i | −0.840743 | + | 0.485403i | −0.857517 | − | 0.514456i | \(-0.827994\pi\) |
0.0167738 | + | 0.999859i | \(0.494660\pi\) | |||||||
\(752\) | 192557. | + | 675077.i | 0.340506 | + | 1.19376i | ||||
\(753\) | −428010. | + | 161973.i | −0.754855 | + | 0.285662i | ||||
\(754\) | −31177.1 | − | 46256.8i | −0.0548395 | − | 0.0813640i | ||||
\(755\) | 1.54879e6i | 2.71705i | ||||||||
\(756\) | −695193. | + | 124397.i | −1.21636 | + | 0.217653i | ||||
\(757\) | −45164.0 | −0.0788135 | −0.0394068 | − | 0.999223i | \(-0.512547\pi\) | ||||
−0.0394068 | + | 0.999223i | \(0.512547\pi\) | |||||||
\(758\) | −315913. | + | 212926.i | −0.549831 | + | 0.370587i | ||||
\(759\) | −66042.5 | − | 174516.i | −0.114641 | − | 0.302936i | ||||
\(760\) | −122173. | + | 109774.i | −0.211519 | + | 0.190052i | ||||
\(761\) | 100185. | + | 173525.i | 0.172995 | + | 0.299636i | 0.939465 | − | 0.342644i | \(-0.111322\pi\) |
−0.766471 | + | 0.642279i | \(0.777989\pi\) | |||||||
\(762\) | 554882. | + | 392757.i | 0.955633 | + | 0.676416i | ||||
\(763\) | −981079. | − | 566426.i | −1.68521 | − | 0.972959i | ||||
\(764\) | −492891. | + | 384536.i | −0.844432 | + | 0.658795i | ||||
\(765\) | 192920. | + | 64712.5i | 0.329651 | + | 0.110577i | ||||
\(766\) | 194663. | + | 95027.7i | 0.331762 | + | 0.161954i | ||||
\(767\) | 8195.11 | + | 4731.45i | 0.0139304 | + | 0.00804273i | ||||
\(768\) | −544656. | + | 226368.i | −0.923421 | + | 0.383790i | ||||
\(769\) | −212834. | − | 368639.i | −0.359905 | − | 0.623374i | 0.628039 | − | 0.778181i | \(-0.283858\pi\) |
−0.987945 | + | 0.154807i | \(0.950524\pi\) | |||||||
\(770\) | −830625. | + | 57792.1i | −1.40095 | + | 0.0974736i | ||||
\(771\) | 72978.6 | − | 89252.4i | 0.122768 | − | 0.150145i | ||||
\(772\) | 64206.2 | − | 8977.98i | 0.107731 | − | 0.0150641i | ||||
\(773\) | 199528. | 0.333922 | 0.166961 | − | 0.985964i | \(-0.446605\pi\) | ||||
0.166961 | + | 0.985964i | \(0.446605\pi\) | |||||||
\(774\) | 177596. | + | 174909.i | 0.296449 | + | 0.291965i | ||||
\(775\) | 432051.i | 0.719335i | ||||||||
\(776\) | 38903.9 | − | 119309.i | 0.0646055 | − | 0.198130i | ||||
\(777\) | 89247.5 | − | 546696.i | 0.147827 | − | 0.905532i | ||||
\(778\) | 51980.2 | − | 3616.61i | 0.0858774 | − | 0.00597506i | ||||
\(779\) | −90071.2 | + | 52002.6i | −0.148426 | + | 0.0856940i | ||||
\(780\) | −108969. | + | 179141.i | −0.179108 | + | 0.294446i | ||||
\(781\) | −219836. | + | 380768.i | −0.360411 | + | 0.624249i | ||||
\(782\) | −54457.2 | − | 26584.1i | −0.0890517 | − | 0.0434718i | ||||
\(783\) | −275909. | + | 173648.i | −0.450031 | + | 0.283234i | ||||
\(784\) | 78787.6 | − | 314134.i | 0.128182 | − | 0.511073i | ||||
\(785\) | −517791. | + | 896841.i | −0.840263 | + | 1.45538i | ||||
\(786\) | 98530.5 | − | 1.06381e6i | 0.159487 | − | 1.72195i | ||||
\(787\) | 899924. | − | 519571.i | 1.45297 | − | 0.838872i | 0.454320 | − | 0.890839i | \(-0.349882\pi\) |
0.998649 | + | 0.0519669i | \(0.0165490\pi\) | |||||||
\(788\) | 269399. | − | 665451.i | 0.433854 | − | 1.07168i | ||||
\(789\) | 45953.8 | − | 281495.i | 0.0738188 | − | 0.452186i | ||||
\(790\) | 589118. | − | 397066.i | 0.943948 | − | 0.636222i | ||||
\(791\) | − | 605543.i | − | 0.967815i | ||||||
\(792\) | 350301. | − | 151565.i | 0.558458 | − | 0.241629i | ||||
\(793\) | −29823.5 | −0.0474255 | ||||||||
\(794\) | −121634. | − | 180465.i | −0.192936 | − | 0.286254i | ||||
\(795\) | −1.23633e6 | + | 1.51203e6i | −1.95615 | + | 2.39235i | ||||
\(796\) | 834330. | + | 337768.i | 1.31677 | + | 0.533079i | ||||
\(797\) | −12577.0 | − | 21783.9i | −0.0197997 | − | 0.0342941i | 0.855956 | − | 0.517049i | \(-0.172970\pi\) |
−0.875755 | + | 0.482755i | \(0.839636\pi\) | |||||||
\(798\) | 50077.4 | + | 108834.i | 0.0786386 | + | 0.170907i | ||||
\(799\) | −127768. | − | 73766.9i | −0.200138 | − | 0.115549i | ||||
\(800\) | −1.21820e6 | − | 1.02581e6i | −1.90343 | − | 1.60283i | ||||
\(801\) | 432982. | − | 382487.i | 0.674847 | − | 0.596144i | ||||
\(802\) | −88478.1 | + | 181247.i | −0.137558 | + | 0.281787i | ||||
\(803\) | 276679. | + | 159741.i | 0.429087 | + | 0.247734i | ||||
\(804\) | −876790. | + | 479798.i | −1.35639 | + | 0.742243i | ||||
\(805\) | 398053. | + | 689448.i | 0.614255 | + | 1.06392i | ||||
\(806\) | −2405.21 | − | 34569.2i | −0.00370239 | − | 0.0532131i | ||||
\(807\) | −174858. | − | 462057.i | −0.268496 | − | 0.709493i | ||||
\(808\) | 152772. | − | 468516.i | 0.234002 | − | 0.717632i | ||||
\(809\) | 975055. | 1.48981 | 0.744907 | − | 0.667168i | \(-0.232494\pi\) | ||||
0.744907 | + | 0.667168i | \(0.232494\pi\) | |||||||
\(810\) | 1.02647e6 | + | 669321.i | 1.56451 | + | 1.02015i | ||||
\(811\) | 240015.i | 0.364919i | 0.983213 | + | 0.182460i | \(0.0584059\pi\) | ||||
−0.983213 | + | 0.182460i | \(0.941594\pi\) | |||||||
\(812\) | −59995.0 | − | 429056.i | −0.0909919 | − | 0.650731i | ||||
\(813\) | 895040. | − | 338713.i | 1.35413 | − | 0.512449i | ||||
\(814\) | 20779.1 | + | 298650.i | 0.0313601 | + | 0.450728i | ||||
\(815\) | 1.26584e6 | − | 730836.i | 1.90575 | − | 1.10028i | ||||
\(816\) | 49133.5 | − | 113805.i | 0.0737900 | − | 0.170915i | ||||
\(817\) | 21142.1 | − | 36619.3i | 0.0316741 | − | 0.0548612i | ||||
\(818\) | −71652.7 | + | 146780.i | −0.107084 | + | 0.219361i | ||||
\(819\) | 101256. | + | 114624.i | 0.150957 | + | 0.170887i | ||||
\(820\) | −869603. | − | 1.11464e6i | −1.29328 | − | 1.65770i | ||||
\(821\) | 406806. | − | 704608.i | 0.603533 | − | 1.04535i | −0.388749 | − | 0.921344i | \(-0.627093\pi\) |
0.992282 | − | 0.124005i | \(-0.0395740\pi\) | |||||||
\(822\) | 250783. | + | 545033.i | 0.371155 | + | 0.806638i | ||||
\(823\) | 24117.0 | − | 13924.0i | 0.0356061 | − | 0.0205572i | −0.482091 | − | 0.876121i | \(-0.660123\pi\) |
0.517697 | + | 0.855564i | \(0.326789\pi\) | |||||||
\(824\) | −175643. | + | 157818.i | −0.258688 | + | 0.232435i | ||||
\(825\) | 797825. | + | 652354.i | 1.17219 | + | 0.958463i | ||||
\(826\) | 41075.3 | + | 60942.5i | 0.0602034 | + | 0.0893223i | ||||
\(827\) | 1.05969e6i | 1.54941i | 0.632323 | + | 0.774705i | \(0.282102\pi\) | ||||
−0.632323 | + | 0.774705i | \(0.717898\pi\) | |||||||
\(828\) | −277158. | − | 237413.i | −0.404265 | − | 0.346292i | ||||
\(829\) | −904280. | −1.31581 | −0.657906 | − | 0.753100i | \(-0.728558\pi\) | ||||
−0.657906 | + | 0.753100i | \(0.728558\pi\) | |||||||
\(830\) | −488340. | + | 329142.i | −0.708869 | + | 0.477779i | ||||
\(831\) | 447080. | + | 72985.3i | 0.647416 | + | 0.105690i | ||||
\(832\) | 103181. | + | 75295.3i | 0.149057 | + | 0.108773i | ||||
\(833\) | 34031.8 | + | 58944.9i | 0.0490451 | + | 0.0849486i | ||||
\(834\) | −13594.2 | + | 146774.i | −0.0195444 | + | 0.211017i | ||||
\(835\) | 1.05301e6 | + | 607954.i | 1.51028 | + | 0.871963i | ||||
\(836\) | −39826.7 | − | 51049.2i | −0.0569852 | − | 0.0730426i | ||||
\(837\) | −202370. | + | 7721.09i | −0.288866 | + | 0.0110212i | ||||
\(838\) | 119816. | + | 58490.0i | 0.170619 | + | 0.0832902i | ||||
\(839\) | −308829. | − | 178303.i | −0.438727 | − | 0.253299i | 0.264330 | − | 0.964432i | \(-0.414849\pi\) |
−0.703058 | + | 0.711133i | \(0.748182\pi\) | |||||||
\(840\) | −1.37085e6 | + | 879004.i | −1.94282 | + | 1.24575i | ||||
\(841\) | 253649. | + | 439333.i | 0.358625 | + | 0.621157i | ||||
\(842\) | 33361.8 | − | 2321.21i | 0.0470571 | − | 0.00327408i | ||||
\(843\) | 54150.9 | + | 8840.06i | 0.0761992 | + | 0.0124394i | ||||
\(844\) | −161978. | − | 1.15839e6i | −0.227390 | − | 1.62619i | ||||
\(845\) | −1.28819e6 | −1.80413 | ||||||||
\(846\) | −633014. | − | 623438.i | −0.884449 | − | 0.871069i | ||||
\(847\) | 558256.i | 0.778156i | ||||||||
\(848\) | 854725. | + | 827703.i | 1.18860 | + | 1.15102i | ||||
\(849\) | 357971. | + | 292701.i | 0.496630 | + | 0.406077i | ||||
\(850\) | 333890. | − | 23231.0i | 0.462132 | − | 0.0321536i | ||||
\(851\) | 247890. | − | 143120.i | 0.342295 | − | 0.197624i | ||||
\(852\) | −19683.2 | + | 859685.i | −0.0271154 | + | 1.18430i | ||||
\(853\) | 93966.4 | − | 162755.i | 0.129144 | − | 0.223684i | −0.794201 | − | 0.607655i | \(-0.792110\pi\) |
0.923345 | + | 0.383971i | \(0.125444\pi\) | |||||||
\(854\) | −208144. | − | 101608.i | −0.285396 | − | 0.139320i | ||||
\(855\) | 66108.5 | − | 197082.i | 0.0904325 | − | 0.269596i | ||||
\(856\) | 181950. | + | 860429.i | 0.248316 | + | 1.17427i | ||||
\(857\) | −424830. | + | 735827.i | −0.578434 | + | 1.00188i | 0.417226 | + | 0.908803i | \(0.363002\pi\) |
−0.995659 | + | 0.0930735i | \(0.970331\pi\) | |||||||
\(858\) | −67467.1 | − | 47754.6i | −0.0916468 | − | 0.0648695i | ||||
\(859\) | 1.04585e6 | − | 603819.i | 1.41736 | − | 0.818315i | 0.421297 | − | 0.906923i | \(-0.361575\pi\) |
0.996067 | + | 0.0886072i | \(0.0282416\pi\) | |||||||
\(860\) | 532762. | + | 215682.i | 0.720339 | + | 0.291620i | ||||
\(861\) | −964438. | + | 364976.i | −1.30097 | + | 0.492332i | ||||
\(862\) | 293367. | − | 197730.i | 0.394818 | − | 0.266108i | ||||
\(863\) | − | 77194.2i | − | 0.103648i | −0.998656 | − | 0.0518242i | \(-0.983496\pi\) | ||
0.998656 | − | 0.0518242i | \(-0.0165036\pi\) | |||||||
\(864\) | 458714. | − | 588929.i | 0.614490 | − | 0.788925i | ||||
\(865\) | 731250. | 0.977313 | ||||||||
\(866\) | −266244. | − | 395020.i | −0.355013 | − | 0.526725i | ||||
\(867\) | −256830. | − | 678667.i | −0.341671 | − | 0.902856i | ||||
\(868\) | 100991. | − | 249460.i | 0.134042 | − | 0.331101i | ||||
\(869\) | 140030. | + | 242539.i | 0.185431 | + | 0.321176i | ||||
\(870\) | −434294. | + | 613565.i | −0.573779 | + | 0.810628i | ||||
\(871\) | 187450. | + | 108224.i | 0.247087 | + | 0.142656i | ||||
\(872\) | 1.17153e6 | − | 247736.i | 1.54070 | − | 0.325804i | ||||
\(873\) | 31547.0 | + | 155661.i | 0.0413932 | + | 0.204245i | ||||
\(874\) | −27157.5 | + | 55631.9i | −0.0355522 | + | 0.0728285i | ||||
\(875\) | −2.27763e6 | − | 1.31499e6i | −2.97487 | − | 1.71754i | ||||
\(876\) | 624677. | + | 14302.5i | 0.814043 | + | 0.0186382i | ||||
\(877\) | −71455.2 | − | 123764.i | −0.0929040 | − | 0.160914i | 0.815828 | − | 0.578295i | \(-0.196282\pi\) |
−0.908732 | + | 0.417380i | \(0.862948\pi\) | |||||||
\(878\) | 33175.3 | + | 476817.i | 0.0430354 | + | 0.618533i | ||||
\(879\) | 520028. | − | 635991.i | 0.673053 | − | 0.823140i | ||||
\(880\) | 612250. | − | 632238.i | 0.790612 | − | 0.816423i | ||||
\(881\) | −305226. | −0.393250 | −0.196625 | − | 0.980479i | \(-0.562998\pi\) | ||||
−0.196625 | + | 0.980479i | \(0.562998\pi\) | |||||||
\(882\) | 109102. | + | 395103.i | 0.140247 | + | 0.507895i | ||||
\(883\) | − | 902045.i | − | 1.15693i | −0.815707 | − | 0.578465i | \(-0.803652\pi\) | ||
0.815707 | − | 0.578465i | \(-0.196348\pi\) | |||||||
\(884\) | −26585.9 | + | 3717.51i | −0.0340209 | + | 0.00475716i | ||||
\(885\) | 20545.5 | − | 125854.i | 0.0262319 | − | 0.160687i | ||||
\(886\) | −56555.9 | − | 812857.i | −0.0720461 | − | 1.03549i | ||||
\(887\) | −797270. | + | 460304.i | −1.01335 | + | 0.585056i | −0.912170 | − | 0.409813i | \(-0.865594\pi\) |
−0.101177 | + | 0.994868i | \(0.532261\pi\) | |||||||
\(888\) | 316045. | + | 492888.i | 0.400796 | + | 0.625061i | ||||
\(889\) | 571692. | − | 990199.i | 0.723367 | − | 1.25291i | ||||
\(890\) | 584391. | − | 1.19712e6i | 0.737774 | − | 1.51132i | ||||
\(891\) | −291302. | + | 385355.i | −0.366934 | + | 0.485407i | ||||
\(892\) | −957564. | + | 747057.i | −1.20348 | + | 0.938911i | ||||
\(893\) | −75358.1 | + | 130524.i | −0.0944990 | + | 0.163677i | ||||
\(894\) | 210390. | + | 19486.3i | 0.263239 | + | 0.0243812i | ||||
\(895\) | −1.48958e6 | + | 860011.i | −1.85960 | + | 1.07364i | ||||
\(896\) | 463589. | + | 877037.i | 0.577453 | + | 1.09245i | ||||
\(897\) | −12733.3 | + | 77999.1i | −0.0158254 | + | 0.0969404i | ||||
\(898\) | −172492. | − | 255922.i | −0.213902 | − | 0.317362i | ||||
\(899\) | − | 124232.i | − | 0.153714i | ||||||
\(900\) | 1.98131e6 | + | 370194.i | 2.44607 | + | 0.457030i | ||||
\(901\) | −250052. | −0.308022 | ||||||||
\(902\) | 462135. | − | 311480.i | 0.568010 | − | 0.382839i | ||||
\(903\) | 265377. | − | 324555.i | 0.325453 | − | 0.398027i | ||||
\(904\) | 427789. | + | 476108.i | 0.523471 | + | 0.582597i | ||||
\(905\) | −1.32984e6 | − | 2.30336e6i | −1.62369 | − | 2.81232i | ||||
\(906\) | −1.08478e6 | + | 499134.i | −1.32155 | + | 0.608080i | ||||
\(907\) | 426945. | + | 246497.i | 0.518988 | + | 0.299638i | 0.736520 | − | 0.676415i | \(-0.236468\pi\) |
−0.217533 | + | 0.976053i | \(0.569801\pi\) | |||||||
\(908\) | −520209. | + | 405849.i | −0.630967 | + | 0.492258i | ||||
\(909\) | 123882. | + | 611266.i | 0.149927 | + | 0.739780i | ||||
\(910\) | 316915. | + | 154707.i | 0.382702 | + | 0.186821i | ||||
\(911\) | 208640. | + | 120458.i | 0.251397 | + | 0.145144i | 0.620404 | − | 0.784283i | \(-0.286969\pi\) |
−0.369007 | + | 0.929427i | \(0.620302\pi\) | |||||||
\(912\) | −116260. | − | 50193.4i | −0.139778 | − | 0.0603471i | ||||
\(913\) | −116076. | − | 201049.i | −0.139252 | − | 0.241191i | ||||
\(914\) | 1.12065e6 | − | 77971.3i | 1.34146 | − | 0.0933345i | ||||
\(915\) | 142245. | + | 375879.i | 0.169901 | + | 0.448958i | ||||
\(916\) | 437096. | − | 61119.2i | 0.520937 | − | 0.0728428i | ||||
\(917\) | −1.79688e6 | −2.13688 | ||||||||
\(918\) | 16848.2 | + | 155977.i | 0.0199925 | + | 0.185087i | ||||
\(919\) | 155183.i | 0.183744i | 0.995771 | + | 0.0918719i | \(0.0292850\pi\) | ||||
−0.995771 | + | 0.0918719i | \(0.970715\pi\) | |||||||
\(920\) | −800032. | − | 260871.i | −0.945218 | − | 0.308213i | ||||
\(921\) | 910595. | − | 344600.i | 1.07351 | − | 0.406252i | ||||
\(922\) | −1.60261e6 | + | 111504.i | −1.88524 | + | 0.131169i | ||||
\(923\) | 161274. | − | 93111.4i | 0.189304 | − | 0.109295i | ||||
\(924\) | −308167. | − | 563149.i | −0.360946 | − | 0.659598i | ||||
\(925\) | −790464. | + | 1.36912e6i | −0.923844 | + | 1.60015i | ||||
\(926\) | 215029. | + | 104969.i | 0.250769 | + | 0.122417i | ||||
\(927\) | 95041.2 | − | 283336.i | 0.110599 | − | 0.329717i | ||||
\(928\) | 350279. | + | 294961.i | 0.406742 | + | 0.342506i | ||||
\(929\) | 352354. | − | 610296.i | 0.408271 | − | 0.707145i | −0.586425 | − | 0.810003i | \(-0.699465\pi\) |
0.994696 | + | 0.102858i | \(0.0327986\pi\) | |||||||
\(930\) | −424219. | + | 195194.i | −0.490484 | + | 0.225684i | ||||
\(931\) | 60216.4 | − | 34765.9i | 0.0694729 | − | 0.0401102i | ||||
\(932\) | −296781. | + | 733088.i | −0.341668 | + | 0.843965i | ||||
\(933\) | 697306. | + | 570163.i | 0.801051 | + | 0.654992i | ||||
\(934\) | −691491. | + | 466066.i | −0.792671 | + | 0.534262i | ||||
\(935\) | 184963.i | 0.211574i | ||||||||
\(936\) | −160589. | − | 18590.0i | −0.183301 | − | 0.0212192i | ||||
\(937\) | −237273. | −0.270252 | −0.135126 | − | 0.990828i | \(-0.543144\pi\) | ||||
−0.135126 | + | 0.990828i | \(0.543144\pi\) | |||||||
\(938\) | 939533. | + | 1.39396e6i | 1.06784 | + | 1.58433i | ||||
\(939\) | 1.34827e6 | + | 220103.i | 1.52913 | + | 0.249629i | ||||
\(940\) | −1.89896e6 | − | 768768.i | −2.14911 | − | 0.870040i | ||||
\(941\) | −57476.2 | − | 99551.7i | −0.0649096 | − | 0.112427i | 0.831744 | − | 0.555159i | \(-0.187343\pi\) |
−0.896654 | + | 0.442732i | \(0.854009\pi\) | |||||||
\(942\) | −795023. | − | 73635.1i | −0.895938 | − | 0.0829818i | ||||
\(943\) | −461467. | − | 266428.i | −0.518940 | − | 0.299610i | ||||
\(944\) | −75348.5 | − | 18898.1i | −0.0845534 | − | 0.0212067i | ||||
\(945\) | 961710. | − | 1.82289e6i | 1.07691 | − | 2.04125i | ||||
\(946\) | −99395.8 | + | 203612.i | −0.111067 | + | 0.227520i | ||||
\(947\) | 890326. | + | 514030.i | 0.992772 | + | 0.573177i | 0.906102 | − | 0.423060i | \(-0.139044\pi\) |
0.0866700 | + | 0.996237i | \(0.472377\pi\) | |||||||
\(948\) | 467965. | + | 284657.i | 0.520711 | + | 0.316742i | ||||
\(949\) | −67658.0 | − | 117187.i | −0.0751254 | − | 0.130121i | ||||
\(950\) | −23732.1 | − | 341093.i | −0.0262960 | − | 0.377942i | ||||
\(951\) | −998419. | − | 162991.i | −1.10396 | − | 0.180220i | ||||
\(952\) | −198214. | − | 64632.6i | −0.218705 | − | 0.0713145i | ||||
\(953\) | 837599. | 0.922253 | 0.461127 | − | 0.887334i | \(-0.347445\pi\) | ||||
0.461127 | + | 0.887334i | \(0.347445\pi\) | |||||||
\(954\) | −1.45747e6 | − | 378646.i | −1.60141 | − | 0.416042i | ||||
\(955\) | − | 1.82438e6i | − | 2.00036i | ||||||
\(956\) | −248284. | − | 1.77561e6i | −0.271665 | − | 1.94282i | ||||
\(957\) | −229406. | − | 187577.i | −0.250485 | − | 0.204813i | ||||
\(958\) | 44454.6 | + | 638930.i | 0.0484380 | + | 0.696181i | ||||
\(959\) | 873882. | − | 504536.i | 0.950201 | − | 0.548599i | ||||
\(960\) | 456853. | − | 1.65956e6i | 0.495717 | − | 1.80074i | ||||
\(961\) | −423174. | + | 732958.i | −0.458218 | + | 0.793656i | ||||
\(962\) | 55624.7 | − | 113947.i | 0.0601059 | − | 0.123126i | ||||
\(963\) | −736906. | − | 834192.i | −0.794620 | − | 0.899525i | ||||
\(964\) | −404464. | − | 518435.i | −0.435237 | − | 0.557879i | ||||
\(965\) | −94598.6 | + | 163850.i | −0.101585 | + | 0.175951i | ||||
\(966\) | −354611. | + | 500989.i | −0.380012 | + | 0.536876i | ||||
\(967\) | 92494.4 | − | 53401.7i | 0.0989151 | − | 0.0571087i | −0.449726 | − | 0.893166i | \(-0.648479\pi\) |
0.548642 | + | 0.836058i | \(0.315145\pi\) | |||||||
\(968\) | −394383. | − | 438928.i | −0.420889 | − | 0.468428i | ||||
\(969\) | 24890.5 | − | 9419.41i | 0.0265086 | − | 0.0100317i | ||||
\(970\) | 204685. | + | 303686.i | 0.217542 | + | 0.322761i | ||||
\(971\) | − | 689120.i | − | 0.730897i | −0.930832 | − | 0.365448i | \(-0.880916\pi\) | ||
0.930832 | − | 0.365448i | \(-0.119084\pi\) | |||||||
\(972\) | −137990. | + | 934653.i | −0.146054 | + | 0.989277i | ||||
\(973\) | 247915. | 0.261865 | ||||||||
\(974\) | −1.23377e6 | + | 831561.i | −1.30051 | + | 0.876549i | ||||
\(975\) | −154494. | − | 408245.i | −0.162518 | − | 0.429449i | ||||
\(976\) | 235435. | − | 67154.9i | 0.247156 | − | 0.0704982i | ||||
\(977\) | 293734. | + | 508762.i | 0.307726 | + | 0.532998i | 0.977865 | − | 0.209239i | \(-0.0670985\pi\) |
−0.670138 | + | 0.742236i | \(0.733765\pi\) | |||||||
\(978\) | 919830. | + | 651075.i | 0.961679 | + | 0.680696i | ||||
\(979\) | 454787. | + | 262571.i | 0.474507 | + | 0.273957i | ||||
\(980\) | 581366. | + | 745184.i | 0.605337 | + | 0.775910i | ||||
\(981\) | −1.13580e6 | + | 1.00334e6i | −1.18023 | + | 1.04259i | ||||
\(982\) | 240170. | + | 117243.i | 0.249056 | + | 0.121580i | ||||
\(983\) | 338570. | + | 195474.i | 0.350382 | + | 0.202293i | 0.664853 | − | 0.746974i | \(-0.268494\pi\) |
−0.314472 | + | 0.949267i | \(0.601827\pi\) | |||||||
\(984\) | 500450. | − | 968294.i | 0.516857 | − | 1.00004i | ||||
\(985\) | 1.04755e6 | + | 1.81441e6i | 1.07970 | + | 1.87009i | ||||
\(986\) | −96006.6 | + | 6679.82i | −0.0987523 | + | 0.00687086i | ||||
\(987\) | −945900. | + | 1.15683e6i | −0.970981 | + | 1.18750i | ||||
\(988\) | 3797.70 | + | 27159.3i | 0.00389051 | + | 0.0278231i | ||||
\(989\) | 216637. | 0.221483 | ||||||||
\(990\) | −280084. | + | 1.07809e6i | −0.285771 | + | 1.09998i | ||||
\(991\) | 462949.i | 0.471396i | 0.971826 | + | 0.235698i | \(0.0757376\pi\) | ||||
−0.971826 | + | 0.235698i | \(0.924262\pi\) | |||||||
\(992\) | 96828.4 | + | 267483.i | 0.0983964 | + | 0.271814i | ||||
\(993\) | −166648. | + | 1.02082e6i | −0.169006 | + | 1.03526i | ||||
\(994\) | 1.44279e6 | − | 100385.i | 1.46026 | − | 0.101600i | ||||
\(995\) | −2.27488e6 | + | 1.31340e6i | −2.29780 | + | 1.32663i | ||||
\(996\) | −387912. | − | 235962.i | −0.391034 | − | 0.237861i | ||||
\(997\) | −386642. | + | 669683.i | −0.388972 | + | 0.673720i | −0.992312 | − | 0.123765i | \(-0.960503\pi\) |
0.603339 | + | 0.797485i | \(0.293836\pi\) | |||||||
\(998\) | 1.19601e6 | + | 583851.i | 1.20081 | + | 0.586193i | ||||
\(999\) | −655417. | − | 345782.i | −0.656730 | − | 0.346475i |
(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 | 36.5.f.a.7.7 | ✓ | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.16 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.22 | yes | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.15 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.22 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.1 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.8 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.1 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.7 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.16 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.16 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.7 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.7 | ✓ | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.7.22 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.7 | yes | 44 | 36.31 | odd | 6 | inner | |
36.5.f.a.31.22 | yes | 44 | 9.4 | even | 3 | inner | |
108.5.f.a.19.1 | 44 | 12.11 | even | 2 | |||
108.5.f.a.19.16 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.1 | 44 | 9.5 | odd | 6 | |||
108.5.f.a.91.16 | 44 | 36.23 | even | 6 | |||
324.5.d.e.163.15 | 22 | 9.2 | odd | 6 | |||
324.5.d.e.163.16 | 22 | 36.11 | even | 6 | |||
324.5.d.f.163.7 | 22 | 36.7 | odd | 6 | |||
324.5.d.f.163.8 | 22 | 9.7 | even | 3 |