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 | 23.10 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.10 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.06815 | + | 2.56640i | −0.767038 | + | 0.641601i | ||||
\(3\) | 14.2932 | − | 2.52028i | 1.58813 | − | 0.280031i | 0.691357 | − | 0.722513i | \(-0.257013\pi\) |
0.896777 | + | 0.442482i | \(0.145902\pi\) | |||||||
\(4\) | 2.82714 | − | 15.7482i | 0.176696 | − | 0.984265i | ||||
\(5\) | −7.84979 | + | 6.58676i | −0.313992 | + | 0.263470i | −0.786140 | − | 0.618049i | \(-0.787923\pi\) |
0.472148 | + | 0.881519i | \(0.343479\pi\) | |||||||
\(6\) | −37.3857 | + | 44.4148i | −1.03849 | + | 1.23374i | ||||
\(7\) | 31.3486 | + | 18.0991i | 0.639767 | + | 0.369370i | 0.784525 | − | 0.620097i | \(-0.212907\pi\) |
−0.144758 | + | 0.989467i | \(0.546240\pi\) | |||||||
\(8\) | 31.7423 | + | 55.5736i | 0.495973 | + | 0.868338i | ||||
\(9\) | 121.829 | − | 44.3421i | 1.50406 | − | 0.547433i | ||||
\(10\) | 7.18009 | − | 40.3549i | 0.0718009 | − | 0.403549i | ||||
\(11\) | 20.6766 | − | 11.9376i | 0.170881 | − | 0.0986582i | −0.412120 | − | 0.911129i | \(-0.635212\pi\) |
0.583001 | + | 0.812471i | \(0.301878\pi\) | |||||||
\(12\) | 0.718901 | − | 232.218i | 0.00499237 | − | 1.61263i | ||||
\(13\) | 26.5442 | − | 150.540i | 0.157066 | − | 0.890767i | −0.799806 | − | 0.600258i | \(-0.795064\pi\) |
0.956872 | − | 0.290509i | \(-0.0938245\pi\) | |||||||
\(14\) | −142.632 | + | 24.9223i | −0.727714 | + | 0.127155i | ||||
\(15\) | −95.5983 | + | 113.930i | −0.424881 | + | 0.506354i | ||||
\(16\) | −240.015 | − | 89.0449i | −0.937557 | − | 0.347832i | ||||
\(17\) | 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 | ||||
\(22\) | −32.8022 | + | 89.6911i | −0.0677731 | + | 0.185312i | ||||
\(23\) | −149.973 | + | 178.731i | −0.283503 | + | 0.337866i | −0.888937 | − | 0.458030i | \(-0.848555\pi\) |
0.605434 | + | 0.795896i | \(0.293000\pi\) | |||||||
\(24\) | 593.760 | + | 714.326i | 1.03083 | + | 1.24015i | ||||
\(25\) | −90.2963 | + | 512.095i | −0.144474 | + | 0.819353i | ||||
\(26\) | 304.904 | + | 530.002i | 0.451041 | + | 0.784026i | ||||
\(27\) | 611.464 | − | 353.029i | 0.838771 | − | 0.484264i | ||||
\(28\) | 373.656 | − | 442.517i | 0.476602 | − | 0.564435i | ||||
\(29\) | −242.775 | + | 88.3630i | −0.288674 | + | 0.105069i | −0.482299 | − | 0.876007i | \(-0.660198\pi\) |
0.193624 | + | 0.981076i | \(0.437976\pi\) | |||||||
\(30\) | 0.920839 | − | 594.897i | 0.00102315 | − | 0.660997i | ||||
\(31\) | −1237.25 | − | 714.325i | −1.28746 | − | 0.743314i | −0.309258 | − | 0.950978i | \(-0.600081\pi\) |
−0.978200 | + | 0.207664i | \(0.933414\pi\) | |||||||
\(32\) | 964.927 | − | 342.771i | 0.942312 | − | 0.334737i | ||||
\(33\) | 265.449 | − | 222.738i | 0.243755 | − | 0.204534i | ||||
\(34\) | −1694.40 | + | 613.743i | −1.46575 | + | 0.530920i | ||||
\(35\) | −365.294 | + | 64.4113i | −0.298200 | + | 0.0525806i | ||||
\(36\) | −353.883 | − | 2043.95i | −0.273058 | − | 1.57712i | ||||
\(37\) | 1197.77 | 0.874920 | 0.437460 | − | 0.899238i | \(-0.355878\pi\) | ||||
0.437460 | + | 0.899238i | \(0.355878\pi\) | |||||||
\(38\) | −1092.27 | + | 944.502i | −0.756419 | + | 0.654087i | ||||
\(39\) | − | 2218.59i | − | 1.45864i | ||||||
\(40\) | −615.220 | − | 227.163i | −0.384513 | − | 0.141977i | ||||
\(41\) | 175.891 | + | 997.527i | 0.104635 | + | 0.593413i | 0.991366 | + | 0.131127i | \(0.0418595\pi\) |
−0.886731 | + | 0.462286i | \(0.847029\pi\) | |||||||
\(42\) | −1975.86 | + | 715.692i | −1.12010 | + | 0.405721i | ||||
\(43\) | −1567.78 | − | 1868.41i | −0.847910 | − | 1.01050i | −0.999756 | − | 0.0220951i | \(-0.992966\pi\) |
0.151846 | − | 0.988404i | \(-0.451478\pi\) | |||||||
\(44\) | −129.541 | − | 359.370i | −0.0669119 | − | 0.185625i | ||||
\(45\) | −664.261 | + | 1150.53i | −0.328030 | + | 0.568165i | ||||
\(46\) | 1.44460 | − | 933.267i | 0.000682703 | − | 0.441052i | ||||
\(47\) | 76.6893 | + | 210.702i | 0.0347168 | + | 0.0953835i | 0.955840 | − | 0.293888i | \(-0.0949491\pi\) |
−0.921123 | + | 0.389271i | \(0.872727\pi\) | |||||||
\(48\) | −3655.00 | − | 667.834i | −1.58637 | − | 0.289859i | ||||
\(49\) | −545.344 | − | 944.563i | −0.227132 | − | 0.393404i | ||||
\(50\) | −1037.20 | − | 1802.92i | −0.414881 | − | 0.721170i | ||||
\(51\) | 6439.56 | + | 1135.47i | 2.47580 | + | 0.436551i | ||||
\(52\) | −2295.69 | − | 843.621i | −0.848998 | − | 0.311990i | ||||
\(53\) | −2433.90 | − | 2042.28i | −0.866464 | − | 0.727050i | 0.0968865 | − | 0.995295i | \(-0.469112\pi\) |
−0.963350 | + | 0.268246i | \(0.913556\pi\) | |||||||
\(54\) | −970.050 | + | 2652.41i | −0.332665 | + | 0.909606i | ||||
\(55\) | −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 | \(0.378396\pi\) |
−0.882035 | + | 0.471185i | \(0.843827\pi\) | |||||||
\(60\) | 1523.92 | + | 1827.60i | 0.423312 | + | 0.507667i | ||||
\(61\) | −2416.98 | − | 2028.09i | −0.649551 | − | 0.545038i | 0.257383 | − | 0.966309i | \(-0.417140\pi\) |
−0.906935 | + | 0.421271i | \(0.861584\pi\) | |||||||
\(62\) | 5629.31 | − | 983.617i | 1.46444 | − | 0.255884i | ||||
\(63\) | 4621.72 | + | 814.934i | 1.16445 | + | 0.205325i | ||||
\(64\) | −2080.86 | + | 3528.07i | −0.508021 | + | 0.861344i | ||||
\(65\) | 783.201 | + | 1356.54i | 0.185373 | + | 0.321076i | ||||
\(66\) | −242.802 | + | 1364.64i | −0.0557397 | + | 0.313279i | ||||
\(67\) | −1540.81 | − | 4233.34i | −0.343241 | − | 0.943047i | −0.984448 | − | 0.175679i | \(-0.943788\pi\) |
0.641207 | − | 0.767368i | \(-0.278434\pi\) | |||||||
\(68\) | 3623.57 | − | 6231.58i | 0.783644 | − | 1.34766i | ||||
\(69\) | −1693.15 | + | 2932.62i | −0.355628 | + | 0.615967i | ||||
\(70\) | 955.474 | − | 1135.12i | 0.194995 | − | 0.231657i | ||||
\(71\) | 1436.32 | + | 1711.73i | 0.284927 | + | 0.339562i | 0.889456 | − | 0.457020i | \(-0.151083\pi\) |
−0.604530 | + | 0.796583i | \(0.706639\pi\) | |||||||
\(72\) | 6331.38 | + | 5362.96i | 1.22133 | + | 1.03452i | ||||
\(73\) | 239.951 | + | 1360.83i | 0.0450274 | + | 0.255363i | 0.999009 | − | 0.0445010i | \(-0.0141698\pi\) |
−0.953982 | + | 0.299864i | \(0.903059\pi\) | |||||||
\(74\) | −3674.93 | + | 3073.95i | −0.671098 | + | 0.561350i | ||||
\(75\) | 7547.06i | 1.34170i | ||||||||
\(76\) | 927.275 | − | 5701.08i | 0.160539 | − | 0.987029i | ||||
\(77\) | 864.243 | 0.145765 | ||||||||
\(78\) | 5693.81 | + | 6806.98i | 0.935866 | + | 1.11883i | ||||
\(79\) | −9952.26 | + | 1754.85i | −1.59466 | + | 0.281181i | −0.899250 | − | 0.437435i | \(-0.855887\pi\) |
−0.695407 | + | 0.718616i | \(0.744776\pi\) | |||||||
\(80\) | 2470.58 | − | 881.934i | 0.386028 | − | 0.137802i | ||||
\(81\) | −194.535 | + | 163.235i | −0.0296503 | + | 0.0248795i | ||||
\(82\) | −3099.72 | − | 2609.16i | −0.460993 | − | 0.388037i | ||||
\(83\) | −9148.18 | − | 5281.70i | −1.32794 | − | 0.766686i | −0.342959 | − | 0.939350i | \(-0.611429\pi\) |
−0.984981 | + | 0.172664i | \(0.944763\pi\) | |||||||
\(84\) | 4225.48 | − | 7266.70i | 0.598849 | − | 1.02986i | ||||
\(85\) | −4338.27 | + | 1579.00i | −0.600452 | + | 0.218547i | ||||
\(86\) | 9605.31 | + | 1709.01i | 1.29872 | + | 0.231072i | ||||
\(87\) | −3247.34 | + | 1874.85i | −0.429031 | + | 0.247701i | ||||
\(88\) | 1319.74 | + | 770.146i | 0.170421 | + | 0.0994507i | ||||
\(89\) | 2171.75 | − | 12316.6i | 0.274176 | − | 1.55493i | −0.467391 | − | 0.884051i | \(-0.654806\pi\) |
0.741567 | − | 0.670879i | \(-0.234083\pi\) | |||||||
\(90\) | −914.680 | − | 5234.78i | −0.112923 | − | 0.646269i | ||||
\(91\) | 3556.76 | − | 4238.78i | 0.429508 | − | 0.511868i | ||||
\(92\) | 2390.71 | + | 2867.11i | 0.282456 | + | 0.338742i | ||||
\(93\) | −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 | \(0.338282\pi\) | |||||||
\(98\) | 4097.33 | + | 1498.49i | 0.426627 | + | 0.156028i | ||||
\(99\) | 1989.67 | − | 2371.19i | 0.203007 | − | 0.241934i | ||||
\(100\) | 7809.33 | + | 2869.77i | 0.780933 | + | 0.286977i | ||||
\(101\) | −2150.52 | + | 12196.2i | −0.210815 | + | 1.19559i | 0.677208 | + | 0.735792i | \(0.263190\pi\) |
−0.888023 | + | 0.459799i | \(0.847921\pi\) | |||||||
\(102\) | −22671.6 | + | 13042.7i | −2.17913 | + | 1.25363i | ||||
\(103\) | −3703.31 | + | 2138.11i | −0.349073 | + | 0.201537i | −0.664277 | − | 0.747487i | \(-0.731260\pi\) |
0.315204 | + | 0.949024i | \(0.397927\pi\) | |||||||
\(104\) | 9208.60 | − | 3303.31i | 0.851387 | − | 0.305410i | ||||
\(105\) | −5058.90 | + | 1841.29i | −0.458857 | + | 0.167010i | ||||
\(106\) | 12708.9 | + | 19.6721i | 1.13109 | + | 0.00175081i | ||||
\(107\) | 5871.84 | + | 3390.11i | 0.512869 | + | 0.296105i | 0.734012 | − | 0.679136i | \(-0.237645\pi\) |
−0.221143 | + | 0.975241i | \(0.570979\pi\) | |||||||
\(108\) | −3830.89 | − | 10627.5i | −0.328437 | − | 0.911141i | ||||
\(109\) | −7822.79 | + | 6564.10i | −0.658429 | + | 0.552487i | −0.909615 | − | 0.415451i | \(-0.863624\pi\) |
0.251187 | + | 0.967939i | \(0.419179\pi\) | |||||||
\(110\) | −333.283 | − | 920.116i | −0.0275440 | − | 0.0760427i | ||||
\(111\) | 17119.9 | − | 3018.70i | 1.38949 | − | 0.245005i | ||||
\(112\) | −5912.49 | − | 7135.49i | −0.471340 | − | 0.568837i | ||||
\(113\) | 20741.0 | 1.62432 | 0.812162 | − | 0.583432i | \(-0.198290\pi\) | ||||
0.812162 | + | 0.583432i | \(0.198290\pi\) | |||||||
\(114\) | −13231.6 | + | 16252.8i | −1.01813 | + | 1.25060i | ||||
\(115\) | − | 2390.84i | − | 0.180782i | ||||||
\(116\) | 705.203 | + | 4073.10i | 0.0524080 | + | 0.302698i | ||||
\(117\) | −3441.39 | − | 19517.1i | −0.251398 | − | 1.42575i | ||||
\(118\) | −7060.33 | − | 19491.9i | −0.507062 | − | 1.39988i | ||||
\(119\) | 10482.9 | + | 12493.0i | 0.740265 | + | 0.882214i | ||||
\(120\) | −9365.99 | − | 1696.36i | −0.650416 | − | 0.117803i | ||||
\(121\) | −7035.49 | + | 12185.8i | −0.480533 | + | 0.832308i | ||||
\(122\) | 12620.6 | + | 19.5353i | 0.847928 | + | 0.00131250i | ||||
\(123\) | 5028.09 | + | 13814.6i | 0.332348 | + | 0.913118i | ||||
\(124\) | −14747.2 | + | 17465.0i | −0.959107 | + | 1.13586i | ||||
\(125\) | −5866.48 | − | 10161.0i | −0.375455 | − | 0.650307i | ||||
\(126\) | −16271.6 | + | 9360.86i | −1.02492 | + | 0.589623i | ||||
\(127\) | −19404.3 | − | 3421.51i | −1.20307 | − | 0.212134i | −0.464045 | − | 0.885811i | \(-0.653603\pi\) |
−0.739025 | + | 0.673678i | \(0.764714\pi\) | |||||||
\(128\) | −2670.06 | − | 16165.0i | −0.162968 | − | 0.986631i | ||||
\(129\) | −27117.6 | − | 22754.4i | −1.62957 | − | 1.36737i | ||||
\(130\) | −5884.42 | − | 2152.08i | −0.348191 | − | 0.127342i | ||||
\(131\) | 2770.67 | − | 7612.36i | 0.161452 | − | 0.443585i | −0.832417 | − | 0.554149i | \(-0.813044\pi\) |
0.993869 | + | 0.110564i | \(0.0352658\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | 4875.07 | + | 28419.0i | 0.263574 | + | 1.53649i | ||||
\(137\) | 358.048 | + | 300.438i | 0.0190766 | + | 0.0160071i | 0.652276 | − | 0.757981i | \(-0.273814\pi\) |
−0.633199 | + | 0.773989i | \(0.718259\pi\) | |||||||
\(138\) | −2331.44 | − | 13343.0i | −0.122424 | − | 0.700642i | ||||
\(139\) | 13003.4 | + | 2292.85i | 0.673020 | + | 0.118672i | 0.499706 | − | 0.866195i | \(-0.333441\pi\) |
0.173314 | + | 0.984867i | \(0.444553\pi\) | |||||||
\(140\) | −18.3731 | + | 5934.85i | −0.000937403 | + | 0.302798i | ||||
\(141\) | 1627.16 | + | 2818.33i | 0.0818452 | + | 0.141760i | ||||
\(142\) | −8799.84 | − | 1565.70i | −0.436413 | − | 0.0776482i | ||||
\(143\) | −1248.24 | − | 3429.52i | −0.0610418 | − | 0.167711i | ||||
\(144\) | −33189.2 | − | 205.496i | −1.60056 | − | 0.00991011i | ||||
\(145\) | 1323.71 | − | 2292.73i | 0.0629588 | − | 0.109048i | ||||
\(146\) | −4228.64 | − | 3559.42i | −0.198379 | − | 0.166984i | ||||
\(147\) | −10175.3 | − | 12126.4i | −0.470881 | − | 0.561174i | ||||
\(148\) | 3386.25 | − | 18862.7i | 0.154595 | − | 0.861154i | ||||
\(149\) | 3895.49 | + | 22092.4i | 0.175465 | + | 0.995110i | 0.937606 | + | 0.347699i | \(0.113037\pi\) |
−0.762141 | + | 0.647411i | \(0.775852\pi\) | |||||||
\(150\) | −19368.8 | − | 23155.5i | −0.860836 | − | 1.02914i | ||||
\(151\) | − | 41144.0i | − | 1.80448i | −0.431234 | − | 0.902240i | \(-0.641922\pi\) | ||
0.431234 | − | 0.902240i | \(-0.358078\pi\) | |||||||
\(152\) | 11786.3 | + | 19871.6i | 0.510139 | + | 0.860092i | ||||
\(153\) | 58410.5 | 2.49522 | ||||||||
\(154\) | −2651.63 | + | 2218.00i | −0.111808 | + | 0.0935233i | ||||
\(155\) | 14417.2 | − | 2542.14i | 0.600092 | − | 0.105812i | ||||
\(156\) | −34938.9 | − | 6272.27i | −1.43569 | − | 0.257736i | ||||
\(157\) | −5990.20 | + | 5026.37i | −0.243020 | + | 0.203918i | −0.756160 | − | 0.654387i | \(-0.772927\pi\) |
0.513140 | + | 0.858305i | \(0.328482\pi\) | |||||||
\(158\) | 26031.4 | − | 30925.7i | 1.04276 | − | 1.23881i | ||||
\(159\) | −39935.3 | − | 23056.7i | −1.57966 | − | 0.912016i | ||||
\(160\) | −5316.73 | + | 9046.42i | −0.207685 | + | 0.353376i | ||||
\(161\) | −7936.33 | + | 2888.59i | −0.306174 | + | 0.111438i | ||||
\(162\) | 177.939 | − | 1000.09i | 0.00678016 | − | 0.0381072i | ||||
\(163\) | 12596.4 | − | 7272.56i | 0.474103 | − | 0.273724i | −0.243853 | − | 0.969812i | \(-0.578411\pi\) |
0.717956 | + | 0.696089i | \(0.245078\pi\) | |||||||
\(164\) | 16206.6 | + | 50.1723i | 0.602564 | + | 0.00186542i | ||||
\(165\) | −616.597 | + | 3496.89i | −0.0226482 | + | 0.128444i | ||||
\(166\) | 41623.0 | − | 7272.84i | 1.51049 | − | 0.263930i | ||||
\(167\) | −17901.1 | + | 21333.7i | −0.641870 | + | 0.764951i | −0.984664 | − | 0.174460i | \(-0.944182\pi\) |
0.342795 | + | 0.939410i | \(0.388627\pi\) | |||||||
\(168\) | 5684.87 | + | 33139.7i | 0.201420 | + | 1.17417i | ||||
\(169\) | 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 | \(0.466163\pi\) | |||||||
\(174\) | 5151.71 | − | 14086.3i | 0.170158 | − | 0.465263i | ||||
\(175\) | −12099.1 | + | 14419.2i | −0.395074 | + | 0.470831i | ||||
\(176\) | −6025.67 | + | 1024.06i | −0.194527 | + | 0.0330598i | ||||
\(177\) | −13062.1 | + | 74078.9i | −0.416934 | + | 2.36455i | ||||
\(178\) | 24946.1 | + | 43362.8i | 0.787341 | + | 1.36860i | ||||
\(179\) | −6591.27 | + | 3805.47i | −0.205714 | + | 0.118769i | −0.599318 | − | 0.800511i | \(-0.704561\pi\) |
0.393604 | + | 0.919280i | \(0.371228\pi\) | |||||||
\(180\) | 16240.9 | + | 13713.7i | 0.501263 | + | 0.423261i | ||||
\(181\) | 41742.1 | − | 15192.9i | 1.27414 | − | 0.463749i | 0.385651 | − | 0.922645i | \(-0.373977\pi\) |
0.888490 | + | 0.458896i | \(0.151755\pi\) | |||||||
\(182\) | −34.2601 | + | 22133.3i | −0.00103430 | + | 0.668195i | ||||
\(183\) | −39657.8 | − | 22896.4i | −1.18420 | − | 0.683700i | ||||
\(184\) | −14693.2 | − | 2661.22i | −0.433992 | − | 0.0786042i | ||||
\(185\) | −9402.21 | + | 7889.39i | −0.274718 | + | 0.230516i | ||||
\(186\) | 77981.9 | − | 28246.5i | 2.25407 | − | 0.816467i | ||||
\(187\) | 10593.2 | − | 1867.86i | 0.302931 | − | 0.0534148i | ||||
\(188\) | 3535.00 | − | 612.038i | 0.100017 | − | 0.0173166i | ||||
\(189\) | 25558.0 | 0.715491 | ||||||||
\(190\) | 2352.88 | − | 14608.7i | 0.0651767 | − | 0.404672i | ||||
\(191\) | 10364.0i | 0.284092i | 0.989860 | + | 0.142046i | \(0.0453681\pi\) | ||||
−0.989860 | + | 0.142046i | \(0.954632\pi\) | |||||||
\(192\) | −20850.4 | + | 55671.7i | −0.565603 | + | 1.51019i | ||||
\(193\) | −3605.70 | − | 20448.9i | −0.0967998 | − | 0.548979i | −0.994181 | − | 0.107723i | \(-0.965644\pi\) |
0.897381 | − | 0.441256i | \(-0.145467\pi\) | |||||||
\(194\) | −53501.0 | + | 19379.0i | −1.42154 | + | 0.514907i | ||||
\(195\) | 14613.3 | + | 17415.5i | 0.384309 | + | 0.458001i | ||||
\(196\) | −16417.0 | + | 5917.80i | −0.427347 | + | 0.154045i | ||||
\(197\) | 20722.4 | − | 35892.3i | 0.533959 | − | 0.924844i | −0.465254 | − | 0.885177i | \(-0.654037\pi\) |
0.999213 | − | 0.0396667i | \(-0.0126296\pi\) | |||||||
\(198\) | −19.1653 | + | 12381.5i | −0.000488860 | + | 0.315822i | ||||
\(199\) | 23906.1 | + | 65681.4i | 0.603673 | + | 1.65858i | 0.743765 | + | 0.668441i | \(0.233038\pi\) |
−0.140092 | + | 0.990138i | \(0.544740\pi\) | |||||||
\(200\) | −31325.2 | + | 11237.0i | −0.783130 | + | 0.280925i | ||||
\(201\) | −32692.3 | − | 56624.7i | −0.809195 | − | 1.40157i | ||||
\(202\) | −24702.3 | − | 42939.0i | −0.605389 | − | 1.05232i | ||||
\(203\) | −9209.95 | − | 1623.96i | −0.223494 | − | 0.0394080i | ||||
\(204\) | 36087.2 | − | 98201.7i | 0.867146 | − | 2.35971i | ||||
\(205\) | −7951.18 | − | 6671.83i | −0.189201 | − | 0.158759i | ||||
\(206\) | 5875.08 | − | 16064.2i | 0.138446 | − | 0.378552i | ||||
\(207\) | −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 | \(-0.652905\pi\) |
0.924032 | − | 0.382315i | \(-0.124873\pi\) | |||||||
\(212\) | −39043.3 | + | 32555.8i | −0.868711 | + | 0.724364i | ||||
\(213\) | 24843.6 | + | 20846.3i | 0.547590 | + | 0.459482i | ||||
\(214\) | −26716.1 | + | 4668.14i | −0.583372 | + | 0.101933i | ||||
\(215\) | 24613.6 | + | 4340.04i | 0.532473 | + | 0.0938894i | ||||
\(216\) | 39028.3 | + | 22775.3i | 0.836513 | + | 0.488154i | ||||
\(217\) | −25857.3 | − | 44786.2i | −0.549116 | − | 0.951096i | ||||
\(218\) | 7155.39 | − | 40216.1i | 0.150564 | − | 0.846228i | ||||
\(219\) | 6859.34 | + | 18845.9i | 0.143019 | + | 0.392942i | ||||
\(220\) | 3383.95 | + | 1967.72i | 0.0699164 | + | 0.0406554i | ||||
\(221\) | 34434.7 | − | 59642.6i | 0.705036 | − | 1.22116i | ||||
\(222\) | −44779.3 | + | 53198.5i | −0.908598 | + | 1.07943i | ||||
\(223\) | 7177.70 | + | 8554.04i | 0.144336 | + | 0.172013i | 0.833369 | − | 0.552717i | \(-0.186409\pi\) |
−0.689033 | + | 0.724730i | \(0.741964\pi\) | |||||||
\(224\) | 36453.0 | + | 6718.94i | 0.726502 | + | 0.133907i | ||||
\(225\) | 11706.7 | + | 66392.0i | 0.231243 | + | 1.31145i | ||||
\(226\) | −63636.6 | + | 53229.8i | −1.24592 | + | 1.04217i | ||||
\(227\) | 24088.1i | 0.467468i | 0.972301 | + | 0.233734i | \(0.0750944\pi\) | ||||
−0.972301 | + | 0.233734i | \(0.924906\pi\) | |||||||
\(228\) | −1114.58 | − | 83823.8i | −0.0214407 | − | 1.61249i | ||||
\(229\) | 63976.3 | 1.21997 | 0.609983 | − | 0.792414i | \(-0.291176\pi\) | ||||
0.609983 | + | 0.792414i | \(0.291176\pi\) | |||||||
\(230\) | 6135.86 | + | 7335.47i | 0.115990 | + | 0.138667i | ||||
\(231\) | 12352.8 | − | 2178.13i | 0.231495 | − | 0.0408188i | ||||
\(232\) | −12616.9 | − | 10687.1i | −0.234410 | − | 0.198556i | ||||
\(233\) | −70066.5 | + | 58792.8i | −1.29062 | + | 1.08296i | −0.298936 | + | 0.954273i | \(0.596632\pi\) |
−0.991685 | + | 0.128686i | \(0.958924\pi\) | |||||||
\(234\) | 60647.5 | + | 51049.5i | 1.10760 | + | 0.932308i | ||||
\(235\) | −1989.84 | − | 1148.83i | −0.0360315 | − | 0.0208028i | ||||
\(236\) | 71686.4 | + | 41684.6i | 1.28710 | + | 0.748430i | ||||
\(237\) | −137827. | + | 50164.9i | −2.45379 | + | 0.893107i | ||||
\(238\) | −64225.3 | − | 11427.2i | −1.13384 | − | 0.201737i | ||||
\(239\) | 64025.5 | − | 36965.2i | 1.12088 | − | 0.647138i | 0.179251 | − | 0.983803i | \(-0.442633\pi\) |
0.941624 | + | 0.336666i | \(0.109299\pi\) | |||||||
\(240\) | 33089.8 | − | 18832.2i | 0.574476 | − | 0.326948i | ||||
\(241\) | 3965.54 | − | 22489.7i | 0.0682761 | − | 0.387213i | −0.931451 | − | 0.363866i | \(-0.881457\pi\) |
0.999727 | − | 0.0233470i | \(-0.00743226\pi\) | |||||||
\(242\) | −9687.78 | − | 55443.9i | −0.165422 | − | 0.946723i | ||||
\(243\) | −39130.6 | + | 46634.0i | −0.662680 | + | 0.789751i | ||||
\(244\) | −38772.0 | + | 32329.5i | −0.651236 | + | 0.543025i | ||||
\(245\) | 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 | ||||
\(250\) | 44076.6 | + | 16119.9i | 0.705226 | + | 0.257918i | ||||
\(251\) | −8926.59 | + | 10638.3i | −0.141690 | + | 0.168859i | −0.832222 | − | 0.554442i | \(-0.812932\pi\) |
0.690533 | + | 0.723301i | \(0.257376\pi\) | |||||||
\(252\) | 25900.0 | − | 70480.0i | 0.407849 | − | 1.10985i | ||||
\(253\) | −967.309 | + | 5485.88i | −0.0151121 | + | 0.0857048i | ||||
\(254\) | 68316.4 | − | 39301.6i | 1.05891 | − | 0.609177i | ||||
\(255\) | −58028.3 | + | 33502.6i | −0.892399 | + | 0.515227i | ||||
\(256\) | 49678.0 | + | 42744.2i | 0.758026 | + | 0.652224i | ||||
\(257\) | −83396.3 | + | 30353.8i | −1.26264 | + | 0.459565i | −0.884655 | − | 0.466246i | \(-0.845606\pi\) |
−0.377988 | + | 0.925810i | \(0.623384\pi\) | |||||||
\(258\) | 141598. | + | 219.179i | 2.12724 | + | 0.00329275i | ||||
\(259\) | 37548.3 | + | 21678.5i | 0.559745 | + | 0.323169i | ||||
\(260\) | 23577.4 | − | 8498.91i | 0.348778 | − | 0.125724i | ||||
\(261\) | −25658.8 | + | 21530.3i | −0.376666 | + | 0.316060i | ||||
\(262\) | 11035.5 | + | 30466.6i | 0.160765 | + | 0.443834i | ||||
\(263\) | −113280. | + | 19974.3i | −1.63772 | + | 0.288775i | −0.915329 | − | 0.402707i | \(-0.868069\pi\) |
−0.722394 | + | 0.691482i | \(0.756958\pi\) | |||||||
\(264\) | 20804.3 | + | 7681.74i | 0.298501 | + | 0.110218i | ||||
\(265\) | 32557.6 | 0.463618 | ||||||||
\(266\) | −51335.8 | + | 9839.71i | −0.725532 | + | 0.139065i | ||||
\(267\) | − | 181517.i | − | 2.54621i | ||||||
\(268\) | −71023.7 | + | 12296.8i | −0.988858 | + | 0.171208i | ||||
\(269\) | −18495.6 | − | 104894.i | −0.255601 | − | 1.44959i | −0.794524 | − | 0.607232i | \(-0.792280\pi\) |
0.538923 | − | 0.842355i | \(-0.318831\pi\) | |||||||
\(270\) | −9856.09 | − | 27210.4i | −0.135200 | − | 0.373256i | ||||
\(271\) | −29364.3 | − | 34995.0i | −0.399836 | − | 0.476506i | 0.528134 | − | 0.849161i | \(-0.322892\pi\) |
−0.927970 | + | 0.372655i | \(0.878447\pi\) | |||||||
\(272\) | −87892.1 | − | 74682.4i | −1.18799 | − | 1.00944i | ||||
\(273\) | 40154.6 | − | 69549.8i | 0.538778 | − | 0.933191i | ||||
\(274\) | −1869.59 | − | 2.89394i | −0.0249027 | − | 3.85468e-5i | ||||
\(275\) | 4246.19 | + | 11666.3i | 0.0561480 | + | 0.154265i | ||||
\(276\) | 41396.8 | + | 34955.0i | 0.543436 | + | 0.458872i | ||||
\(277\) | 56350.4 | + | 97601.7i | 0.734408 | + | 1.27203i | 0.954983 | + | 0.296661i | \(0.0958733\pi\) |
−0.220575 | + | 0.975370i | \(0.570793\pi\) | |||||||
\(278\) | −45780.9 | + | 26337.2i | −0.592372 | + | 0.340785i | ||||
\(279\) | −182407. | − | 32163.3i | −2.34333 | − | 0.413192i | ||||
\(280\) | −15174.8 | − | 18256.2i | −0.193557 | − | 0.232859i | ||||
\(281\) | −91159.1 | − | 76491.5i | −1.15448 | − | 0.968725i | −0.154667 | − | 0.987967i | \(-0.549431\pi\) |
−0.999815 | + | 0.0192411i | \(0.993875\pi\) | |||||||
\(282\) | −12225.4 | − | 4471.11i | −0.153732 | − | 0.0562235i | ||||
\(283\) | −22518.3 | + | 61868.5i | −0.281166 | + | 0.772497i | 0.716058 | + | 0.698041i | \(0.245945\pi\) |
−0.997224 | + | 0.0744568i | \(0.976278\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 102357. | − | 84546.3i | 1.23405 | − | 1.01932i | ||||
\(289\) | 91510.7 | + | 76786.6i | 1.09566 | + | 0.919369i | ||||
\(290\) | 1822.73 | + | 10431.6i | 0.0216734 | + | 0.124038i | ||||
\(291\) | 203330. | + | 35852.6i | 2.40113 | + | 0.423384i | ||||
\(292\) | 22109.0 | + | 68.4452i | 0.259301 | + | 0.000802744i | ||||
\(293\) | 11384.3 | + | 19718.1i | 0.132608 | + | 0.229684i | 0.924681 | − | 0.380743i | \(-0.124332\pi\) |
−0.792073 | + | 0.610426i | \(0.790998\pi\) | |||||||
\(294\) | 62340.6 | + | 11091.9i | 0.721234 | + | 0.128324i | ||||
\(295\) | −18164.4 | − | 49906.3i | −0.208726 | − | 0.573470i | ||||
\(296\) | 38019.8 | + | 66564.2i | 0.433937 | + | 0.759726i | ||||
\(297\) | 8428.66 | − | 14598.9i | 0.0955533 | − | 0.165503i | ||||
\(298\) | −68650.1 | − | 57785.6i | −0.773052 | − | 0.650709i | ||||
\(299\) | 22925.2 | + | 27321.2i | 0.256431 | + | 0.305603i | ||||
\(300\) | 118853. | + | 21336.6i | 1.32059 | + | 0.237073i | ||||
\(301\) | −15331.2 | − | 86947.7i | −0.169217 | − | 0.959677i | ||||
\(302\) | 105592. | + | 126236.i | 1.15776 | + | 1.38411i | ||||
\(303\) | 179743.i | 1.95779i | ||||||||
\(304\) | −87160.5 | − | 30720.7i | −0.943132 | − | 0.332418i | ||||
\(305\) | 32331.3 | 0.347555 | ||||||||
\(306\) | −179212. | + | 149905.i | −1.91393 | + | 1.60093i | ||||
\(307\) | 14155.2 | − | 2495.95i | 0.150190 | − | 0.0264825i | −0.0980478 | − | 0.995182i | \(-0.531260\pi\) |
0.248237 | + | 0.968699i | \(0.420149\pi\) | |||||||
\(308\) | 2443.33 | − | 13610.3i | 0.0257562 | − | 0.143472i | ||||
\(309\) | −47543.6 | + | 39893.8i | −0.497938 | + | 0.417819i | ||||
\(310\) | −37710.1 | + | 44800.1i | −0.392404 | + | 0.466182i | ||||
\(311\) | −12059.3 | − | 6962.46i | −0.124682 | − | 0.0719850i | 0.436362 | − | 0.899771i | \(-0.356267\pi\) |
−0.561044 | + | 0.827786i | \(0.689600\pi\) | |||||||
\(312\) | 123295. | − | 70423.2i | 1.26659 | − | 0.723447i | ||||
\(313\) | −54768.3 | + | 19934.0i | −0.559037 | + | 0.203473i | −0.606057 | − | 0.795421i | \(-0.707250\pi\) |
0.0470200 | + | 0.998894i | \(0.485028\pi\) | |||||||
\(314\) | 5479.15 | − | 30795.0i | 0.0555717 | − | 0.312335i | ||||
\(315\) | −41647.3 | + | 24045.1i | −0.419726 | + | 0.242329i | ||||
\(316\) | −500.565 | + | 161692.i | −0.00501287 | + | 1.61925i | ||||
\(317\) | 838.846 | − | 4757.33i | 0.00834764 | − | 0.0473418i | −0.980349 | − | 0.197269i | \(-0.936793\pi\) |
0.988697 | + | 0.149927i | \(0.0479039\pi\) | |||||||
\(318\) | 181700. | − | 31748.8i | 1.79681 | − | 0.313959i | ||||
\(319\) | −3964.92 | + | 4725.21i | −0.0389631 | + | 0.0464344i | ||||
\(320\) | −6904.24 | − | 41400.7i | −0.0674242 | − | 0.404304i | ||||
\(321\) | 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 | ||||
\(326\) | −19983.5 | + | 54640.9i | −0.188034 | + | 0.514142i | ||||
\(327\) | −95269.4 | + | 113538.i | −0.890960 | + | 1.06180i | ||||
\(328\) | −49853.0 | + | 41438.7i | −0.463387 | + | 0.385175i | ||||
\(329\) | −1409.42 | + | 7993.23i | −0.0130211 | + | 0.0738466i | ||||
\(330\) | −7082.63 | − | 12311.4i | −0.0650379 | − | 0.113053i | ||||
\(331\) | 77678.5 | − | 44847.7i | 0.708997 | − | 0.409340i | −0.101692 | − | 0.994816i | \(-0.532426\pi\) |
0.810690 | + | 0.585476i | \(0.199092\pi\) | |||||||
\(332\) | −109041. | + | 129136.i | −0.989265 | + | 1.17157i | ||||
\(333\) | 145923. | − | 53111.5i | 1.31593 | − | 0.478961i | ||||
\(334\) | 172.430 | − | 111397.i | 0.00154568 | − | 0.998571i | ||||
\(335\) | 39979.0 | + | 23081.9i | 0.356240 | + | 0.205675i | ||||
\(336\) | −102492. | − | 87087.9i | −0.907843 | − | 0.771399i | ||||
\(337\) | 77453.5 | − | 64991.2i | 0.681995 | − | 0.572262i | −0.234593 | − | 0.972094i | \(-0.575376\pi\) |
0.916589 | + | 0.399832i | \(0.130931\pi\) | |||||||
\(338\) | −19534.9 | + | 7075.90i | −0.170993 | + | 0.0619368i | ||||
\(339\) | 296455. | − | 52273.1i | 2.57965 | − | 0.454861i | ||||
\(340\) | 12601.6 | + | 72784.2i | 0.109010 | + | 0.629621i | ||||
\(341\) | −34109.4 | −0.293336 | ||||||||
\(342\) | −91188.8 | + | 163501.i | −0.779631 | + | 1.39788i | ||||
\(343\) | − | 126393.i | − | 1.07432i | ||||||
\(344\) | 54069.4 | − | 146435.i | 0.456914 | − | 1.23745i | ||||
\(345\) | −6025.58 | − | 34172.8i | −0.0506245 | − | 0.287106i | ||||
\(346\) | −99005.5 | + | 35861.6i | −0.827003 | + | 0.299556i | ||||
\(347\) | −34018.6 | − | 40541.8i | −0.282525 | − | 0.336701i | 0.606054 | − | 0.795424i | \(-0.292752\pi\) |
−0.888579 | + | 0.458723i | \(0.848307\pi\) | |||||||
\(348\) | 20345.0 | + | 56440.3i | 0.167996 | + | 0.466049i | ||||
\(349\) | 47405.0 | − | 82107.9i | 0.389201 | − | 0.674115i | −0.603142 | − | 0.797634i | \(-0.706085\pi\) |
0.992342 | + | 0.123519i | \(0.0394180\pi\) | |||||||
\(350\) | 116.544 | − | 75291.6i | 0.000951376 | − | 0.614625i | ||||
\(351\) | −36914.0 | − | 101420.i | −0.299624 | − | 0.823211i | ||||
\(352\) | 15859.5 | − | 18606.3i | 0.127999 | − | 0.150167i | ||||
\(353\) | 40781.9 | + | 70636.3i | 0.327279 | + | 0.566863i | 0.981971 | − | 0.189032i | \(-0.0605351\pi\) |
−0.654692 | + | 0.755896i | \(0.727202\pi\) | |||||||
\(354\) | −150040. | − | 260808.i | −1.19729 | − | 2.08121i | ||||
\(355\) | −22549.6 | − | 3976.10i | −0.178929 | − | 0.0315501i | ||||
\(356\) | −187825. | − | 69021.9i | −1.48202 | − | 0.544612i | ||||
\(357\) | 181320. | + | 152146.i | 1.42269 | + | 1.19378i | ||||
\(358\) | 10456.7 | − | 28591.6i | 0.0815881 | − | 0.223086i | ||||
\(359\) | 8816.23 | − | 24222.4i | 0.0684059 | − | 0.187944i | −0.900779 | − | 0.434278i | \(-0.857004\pi\) |
0.969185 | + | 0.246334i | \(0.0792259\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | −56697.9 | − | 67996.3i | −0.427922 | − | 0.513195i | ||||
\(365\) | −10847.0 | − | 9101.73i | −0.0814188 | − | 0.0683185i | ||||
\(366\) | 180438. | − | 31528.1i | 1.34699 | − | 0.235362i | ||||
\(367\) | −721.003 | − | 127.132i | −0.00535310 | − | 0.000943895i | 0.170971 | − | 0.985276i | \(-0.445310\pi\) |
−0.176324 | + | 0.984332i | \(0.556421\pi\) | |||||||
\(368\) | 51910.9 | − | 29543.7i | 0.383321 | − | 0.218157i | ||||
\(369\) | 65661.1 | + | 113728.i | 0.482231 | + | 0.835249i | ||||
\(370\) | 8600.06 | − | 48335.8i | 0.0628200 | − | 0.353073i | ||||
\(371\) | −39335.8 | − | 108074.i | −0.285785 | − | 0.785188i | ||||
\(372\) | −166769. | + | 286798.i | −1.20512 | + | 2.07248i | ||||
\(373\) | 82738.1 | − | 143307.i | 0.594686 | − | 1.03003i | −0.398905 | − | 0.916992i | \(-0.630610\pi\) |
0.993591 | − | 0.113034i | \(-0.0360570\pi\) | |||||||
\(374\) | −27707.8 | + | 32917.3i | −0.198088 | + | 0.235332i | ||||
\(375\) | −109460. | − | 130449.i | −0.778379 | − | 0.927636i | ||||
\(376\) | −9275.19 | + | 10950.1i | −0.0656065 | + | 0.0774535i | ||||
\(377\) | 6857.85 | + | 38892.8i | 0.0482509 | + | 0.273644i | ||||
\(378\) | −78416.0 | + | 65592.3i | −0.548809 | + | 0.459060i | ||||
\(379\) | − | 181226.i | − | 1.26166i | −0.775921 | − | 0.630830i | \(-0.782715\pi\) | ||
0.775921 | − | 0.630830i | \(-0.217285\pi\) | |||||||
\(380\) | 30272.7 | + | 50860.0i | 0.209645 | + | 0.352216i | ||||
\(381\) | −285973. | −1.97004 | ||||||||
\(382\) | −26598.1 | − | 31798.3i | −0.182274 | − | 0.217910i | ||||
\(383\) | 26807.4 | − | 4726.88i | 0.182750 | − | 0.0322238i | −0.0815240 | − | 0.996671i | \(-0.525979\pi\) |
0.264274 | + | 0.964448i | \(0.414868\pi\) | |||||||
\(384\) | −78904.0 | − | 224320.i | −0.535102 | − | 1.52127i | ||||
\(385\) | −6784.13 | + | 5692.56i | −0.0457691 | + | 0.0384049i | ||||
\(386\) | 63543.0 | + | 53486.8i | 0.426475 | + | 0.358981i | ||||
\(387\) | −273851. | − | 158108.i | −1.82849 | − | 1.05568i | ||||
\(388\) | 114415. | − | 196763.i | 0.760009 | − | 1.30701i | ||||
\(389\) | −180903. | + | 65843.3i | −1.19549 | + | 0.435123i | −0.861649 | − | 0.507505i | \(-0.830568\pi\) |
−0.333843 | + | 0.942629i | \(0.608345\pi\) | |||||||
\(390\) | −89531.1 | − | 15929.7i | −0.588633 | − | 0.104732i | ||||
\(391\) | −91033.9 | + | 52558.5i | −0.595456 | + | 0.343787i | ||||
\(392\) | 35182.3 | − | 60289.3i | 0.228956 | − | 0.392345i | ||||
\(393\) | 20416.5 | − | 115788.i | 0.132190 | − | 0.749684i | ||||
\(394\) | 28534.5 | + | 163305.i | 0.183814 | + | 1.05198i | ||||
\(395\) | 66564.4 | − | 79328.3i | 0.426626 | − | 0.508433i | ||||
\(396\) | −31717.1 | − | 38037.5i | −0.202257 | − | 0.242561i | ||||
\(397\) | −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 | \(0.770677\pi\) | |||||||
\(402\) | 245627. | + | 89831.7i | 1.51993 | + | 0.555876i | ||||
\(403\) | −140376. | + | 167293.i | −0.864336 | + | 1.03008i | ||||
\(404\) | 185989. | + | 68347.4i | 1.13953 | + | 0.418754i | ||||
\(405\) | 451.876 | − | 2562.72i | 0.00275492 | − | 0.0156239i | ||||
\(406\) | 32425.3 | − | 18653.9i | 0.196713 | − | 0.113166i | ||||
\(407\) | 24765.7 | − | 14298.5i | 0.149507 | − | 0.0863181i | ||||
\(408\) | 141304. | + | 393912.i | 0.848857 | + | 2.36635i | ||||
\(409\) | 103111. | − | 37529.2i | 0.616391 | − | 0.224348i | −0.0149063 | − | 0.999889i | \(-0.504745\pi\) |
0.631297 | + | 0.775541i | \(0.282523\pi\) | |||||||
\(410\) | 41518.0 | + | 64.2656i | 0.246984 | + | 0.000382306i | ||||
\(411\) | 5874.85 | + | 3391.84i | 0.0347787 | + | 0.0200795i | ||||
\(412\) | 23201.7 | + | 64365.4i | 0.136686 | + | 0.379191i | ||||
\(413\) | −143716. | + | 120592.i | −0.842571 | + | 0.707001i | ||||
\(414\) | −41207.0 | − | 113763.i | −0.240420 | − | 0.663743i | ||||
\(415\) | 106601. | − | 18796.6i | 0.618961 | − | 0.109140i | ||||
\(416\) | −25987.4 | − | 154358.i | −0.150168 | − | 0.891956i | ||||
\(417\) | 191639. | 1.10208 | ||||||||
\(418\) | −11309.3 | + | 32568.2i | −0.0647266 | + | 0.186398i | ||||
\(419\) | 102824.i | 0.585691i | 0.956160 | + | 0.292845i | \(0.0946021\pi\) | ||||
−0.956160 | + | 0.292845i | \(0.905398\pi\) | |||||||
\(420\) | 14694.9 | + | 84874.3i | 0.0833042 | + | 0.481147i | ||||
\(421\) | 59436.4 | + | 337081.i | 0.335342 | + | 1.90182i | 0.423827 | + | 0.905743i | \(0.360687\pi\) |
−0.0884842 | + | 0.996078i | \(0.528202\pi\) | |||||||
\(422\) | 81912.3 | + | 226141.i | 0.459965 | + | 1.26985i | ||||
\(423\) | 18686.0 | + | 22269.1i | 0.104432 | + | 0.124458i | ||||
\(424\) | 36239.6 | − | 200087.i | 0.201582 | − | 1.11298i | ||||
\(425\) | −117137. | + | 202888.i | −0.648512 | + | 1.12326i | ||||
\(426\) | −129724. | − | 200.799i | −0.714827 | − | 0.00110648i | ||||
\(427\) | −39062.4 | − | 107323.i | −0.214241 | − | 0.588622i | ||||
\(428\) | 69988.7 | − | 82886.8i | 0.382068 | − | 0.452479i | ||||
\(429\) | −26484.8 | − | 45873.0i | −0.143907 | − | 0.249254i | ||||
\(430\) | −86656.5 | + | 49852.5i | −0.468667 | + | 0.269619i | ||||
\(431\) | 51860.3 | + | 9144.37i | 0.279178 | + | 0.0492265i | 0.311484 | − | 0.950251i | \(-0.399174\pi\) |
−0.0323062 | + | 0.999478i | \(0.510285\pi\) | |||||||
\(432\) | −178196. | + | 30284.3i | −0.954838 | + | 0.162274i | ||||
\(433\) | 152164. | + | 127681.i | 0.811591 | + | 0.681005i | 0.950987 | − | 0.309231i | \(-0.100072\pi\) |
−0.139396 | + | 0.990237i | \(0.544516\pi\) | |||||||
\(434\) | 194274. | + | 71050.5i | 1.03142 | + | 0.377214i | ||||
\(435\) | 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 | \(-0.707487\pi\) |
0.975717 | − | 0.219036i | \(-0.0702912\pi\) | |||||||
\(440\) | −15432.5 | + | 2647.33i | −0.0797131 | + | 0.0136742i | ||||
\(441\) | −108323. | − | 90893.4i | −0.556983 | − | 0.467364i | ||||
\(442\) | 47416.1 | + | 271366.i | 0.242707 | + | 1.38903i | ||||
\(443\) | −169602. | − | 29905.3i | −0.864216 | − | 0.152385i | −0.276068 | − | 0.961138i | \(-0.589032\pi\) |
−0.588148 | + | 0.808753i | \(0.700143\pi\) | |||||||
\(444\) | 861.075 | − | 278143.i | 0.00436792 | − | 1.41092i | ||||
\(445\) | 64078.7 | + | 110988.i | 0.323589 | + | 0.560472i | ||||
\(446\) | −43975.4 | − | 7824.26i | −0.221075 | − | 0.0393345i | ||||
\(447\) | 111358. | + | 305954.i | 0.557323 | + | 1.53123i | ||||
\(448\) | −129087. | + | 72938.3i | −0.643170 | + | 0.363412i | ||||
\(449\) | −49234.0 | + | 85275.7i | −0.244215 | + | 0.422993i | −0.961911 | − | 0.273364i | \(-0.911864\pi\) |
0.717696 | + | 0.696357i | \(0.245197\pi\) | |||||||
\(450\) | −206307. | − | 173657.i | −1.01880 | − | 0.857564i | ||||
\(451\) | 15544.9 | + | 18525.7i | 0.0764251 | + | 0.0910799i | ||||
\(452\) | 58637.6 | − | 326634.i | 0.287012 | − | 1.59877i | ||||
\(453\) | −103694. | − | 588079.i | −0.505310 | − | 2.86576i | ||||
\(454\) | −61819.9 | − | 73906.1i | −0.299928 | − | 0.358566i | ||||
\(455\) | 56701.0i | 0.273885i | ||||||||
\(456\) | 218545. | + | 254324.i | 1.05102 | + | 1.22309i | ||||
\(457\) | −89403.5 | −0.428077 | −0.214039 | − | 0.976825i | \(-0.568662\pi\) | ||||
−0.214039 | + | 0.976825i | \(0.568662\pi\) | |||||||
\(458\) | −196289. | + | 164189.i | −0.935762 | + | 0.782732i | ||||
\(459\) | 313269. | − | 55237.8i | 1.48694 | − | 0.262187i | ||||
\(460\) | −37651.5 | − | 6759.23i | −0.177937 | − | 0.0319435i | ||||
\(461\) | 219673. | − | 184328.i | 1.03365 | − | 0.867339i | 0.0423730 | − | 0.999102i | \(-0.486508\pi\) |
0.991281 | + | 0.131763i | \(0.0420638\pi\) | |||||||
\(462\) | −32310.4 | + | 38385.2i | −0.151376 | + | 0.179837i | ||||
\(463\) | −223185. | − | 128856.i | −1.04113 | − | 0.601094i | −0.120974 | − | 0.992656i | \(-0.538602\pi\) |
−0.920152 | + | 0.391562i | \(0.871935\pi\) | |||||||
\(464\) | 66137.9 | + | 409.503i | 0.307195 | + | 0.00190205i | ||||
\(465\) | 199661. | − | 72670.8i | 0.923396 | − | 0.336089i | ||||
\(466\) | 64088.8 | − | 360204.i | 0.295128 | − | 1.65874i | ||||
\(467\) | 228783. | − | 132088.i | 1.04903 | − | 0.605660i | 0.126655 | − | 0.991947i | \(-0.459576\pi\) |
0.922379 | + | 0.386287i | \(0.126242\pi\) | |||||||
\(468\) | −317089. | − | 981.646i | −1.44774 | − | 0.00448191i | ||||
\(469\) | 28317.5 | − | 160597.i | 0.128739 | − | 0.730114i | ||||
\(470\) | 9053.51 | − | 1581.93i | 0.0409846 | − | 0.00716130i | ||||
\(471\) | −72951.3 | + | 86940.0i | −0.328845 | + | 0.391902i | ||||
\(472\) | −326924. | + | 56081.5i | −1.46745 | + | 0.251730i | ||||
\(473\) | −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 | ||||
\(478\) | −101573. | + | 277730.i | −0.444550 | + | 1.21553i | ||||
\(479\) | −210409. | + | 250756.i | −0.917052 | + | 1.09290i | 0.0783324 | + | 0.996927i | \(0.475040\pi\) |
−0.995384 | + | 0.0959723i | \(0.969404\pi\) | |||||||
\(480\) | −53193.6 | + | 142702.i | −0.230875 | + | 0.619366i | ||||
\(481\) | 31793.7 | − | 180311.i | 0.137420 | − | 0.779350i | ||||
\(482\) | 45550.8 | + | 79179.1i | 0.196066 | + | 0.340813i | ||||
\(483\) | −106156. | + | 61288.9i | −0.455039 | + | 0.262717i | ||||
\(484\) | 172015. | + | 145248.i | 0.734303 | + | 0.620038i | ||||
\(485\) | −136982. | + | 49857.2i | −0.582342 | + | 0.211955i | ||||
\(486\) | 376.921 | − | 243505.i | 0.00159580 | − | 1.03095i | ||||
\(487\) | 242387. | + | 139942.i | 1.02200 | + | 0.590052i | 0.914683 | − | 0.404172i | \(-0.132440\pi\) |
0.107318 | + | 0.994225i | \(0.465774\pi\) | |||||||
\(488\) | 35987.7 | − | 198696.i | 0.151117 | − | 0.834354i | ||||
\(489\) | 161715. | − | 135695.i | 0.676288 | − | 0.567473i | ||||
\(490\) | −42033.4 | + | 15225.3i | −0.175066 | + | 0.0634122i | ||||
\(491\) | −305590. | + | 53883.7i | −1.26758 | + | 0.223509i | −0.766699 | − | 0.642007i | \(-0.778102\pi\) |
−0.500882 | + | 0.865516i | \(0.666991\pi\) | |||||||
\(492\) | 231770. | − | 40127.9i | 0.957476 | − | 0.165774i | ||||
\(493\) | −116398. | −0.478907 | ||||||||
\(494\) | 113192. | + | 189501.i | 0.463831 | + | 0.776528i | ||||
\(495\) | 31718.8i | 0.129451i | ||||||||
\(496\) | 233350. | + | 281619.i | 0.948517 | + | 1.14472i | ||||
\(497\) | 14045.6 | + | 79656.5i | 0.0568627 | + | 0.322484i | ||||
\(498\) | 576597. | − | 208854.i | 2.32495 | − | 0.842139i | ||||
\(499\) | 11085.1 | + | 13210.8i | 0.0445185 | + | 0.0530551i | 0.787844 | − | 0.615875i | \(-0.211197\pi\) |
−0.743326 | + | 0.668930i | \(0.766753\pi\) | |||||||
\(500\) | −176604. | + | 63660.2i | −0.706416 | + | 0.254641i | ||||
\(501\) | −202097. | + | 350043.i | −0.805166 | + | 1.39459i | ||||
\(502\) | 85.9843 | − | 55549.2i | 0.000341202 | − | 0.220430i | ||||
\(503\) | 9368.01 | + | 25738.4i | 0.0370264 | + | 0.101729i | 0.956828 | − | 0.290654i | \(-0.0938729\pi\) |
−0.919802 | + | 0.392383i | \(0.871651\pi\) | |||||||
\(504\) | 101415. | + | 282714.i | 0.399247 | + | 1.11298i | ||||
\(505\) | −63452.4 | − | 109903.i | −0.248809 | − | 0.430949i | ||||
\(506\) | −11111.1 | − | 19314.0i | −0.0433968 | − | 0.0754348i | ||||
\(507\) | 74242.3 | + | 13090.9i | 0.288825 | + | 0.0509277i | ||||
\(508\) | −108741. | + | 295911.i | −0.421374 | + | 1.14666i | ||||
\(509\) | 199820. | + | 167669.i | 0.771264 | + | 0.647168i | 0.941032 | − | 0.338317i | \(-0.109857\pi\) |
−0.169768 | + | 0.985484i | \(0.554302\pi\) | |||||||
\(510\) | 92058.3 | − | 251715.i | 0.353934 | − | 0.967763i | ||||
\(511\) | −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 | ||||
\(516\) | −435007. | + | 362725.i | −1.63379 | + | 1.36232i | ||||
\(517\) | 4100.96 | + | 3441.12i | 0.0153428 | + | 0.0128741i | ||||
\(518\) | −170840. | + | 29851.1i | −0.636692 | + | 0.111250i | ||||
\(519\) | 376270. | + | 66346.5i | 1.39690 | + | 0.246311i | ||||
\(520\) | −50527.5 | + | 86585.2i | −0.186862 | + | 0.320211i | ||||
\(521\) | −6274.77 | − | 10868.2i | −0.0231165 | − | 0.0400389i | 0.854236 | − | 0.519886i | \(-0.174026\pi\) |
−0.877352 | + | 0.479847i | \(0.840692\pi\) | |||||||
\(522\) | 23469.8 | − | 131909.i | 0.0861326 | − | 0.484099i | ||||
\(523\) | 19840.9 | + | 54512.5i | 0.0725368 | + | 0.199293i | 0.970663 | − | 0.240445i | \(-0.0772934\pi\) |
−0.898126 | + | 0.439738i | \(0.855071\pi\) | |||||||
\(524\) | −112048. | − | 65154.5i | −0.408078 | − | 0.237291i | ||||
\(525\) | −136595. | + | 236590.i | −0.495583 | + | 0.858375i | ||||
\(526\) | 296297. | − | 352005.i | 1.07092 | − | 1.27227i | ||||
\(527\) | −413733. | − | 493067.i | −1.48970 | − | 1.77535i | ||||
\(528\) | −83545.3 | + | 29823.5i | −0.299677 | + | 0.106977i | ||||
\(529\) | 39141.0 | + | 221980.i | 0.139869 | + | 0.793235i | ||||
\(530\) | −99891.8 | + | 83556.0i | −0.355613 | + | 0.297458i | ||||
\(531\) | 671939.i | 2.38309i | ||||||||
\(532\) | 132253. | − | 161938.i | 0.467287 | − | 0.572171i | ||||
\(533\) | 154836. | 0.545027 | ||||||||
\(534\) | 465846. | + | 556922.i | 1.63365 | + | 1.95304i | ||||
\(535\) | −68422.5 | + | 12064.7i | −0.239051 | + | 0.0421512i | ||||
\(536\) | 186353. | − | 220004.i | 0.648645 | − | 0.765775i | ||||
\(537\) | −84619.6 | + | 71004.3i | −0.293442 | + | 0.246227i | ||||
\(538\) | 325947. | + | 274363.i | 1.12611 | + | 0.947895i | ||||
\(539\) | −22551.7 | − | 13020.2i | −0.0776251 | − | 0.0448168i | ||||
\(540\) | 100073. | + | 58190.8i | 0.343185 | + | 0.199557i | ||||
\(541\) | 393857. | − | 143352.i | 1.34569 | − | 0.489790i | 0.434087 | − | 0.900871i | \(-0.357071\pi\) |
0.911599 | + | 0.411081i | \(0.134849\pi\) | |||||||
\(542\) | 179906. | + | 32009.4i | 0.612416 | + | 0.108963i | ||||
\(543\) | 558339. | − | 322357.i | 1.89364 | − | 1.09330i | ||||
\(544\) | 461332. | + | 3570.54i | 1.55889 | + | 0.0120652i | ||||
\(545\) | 18171.1 | − | 103054.i | 0.0611771 | − | 0.346953i | ||||
\(546\) | 55292.4 | + | 316442.i | 0.185473 | + | 1.06147i | ||||
\(547\) | 38013.3 | − | 45302.4i | 0.127046 | − | 0.151407i | −0.698772 | − | 0.715345i | \(-0.746270\pi\) |
0.825817 | + | 0.563937i | \(0.190714\pi\) | |||||||
\(548\) | 5743.63 | − | 4789.25i | 0.0191260 | − | 0.0159480i | ||||
\(549\) | −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 | ||||
\(554\) | −423377. | − | 154839.i | −1.37946 | − | 0.504500i | ||||
\(555\) | −114504. | + | 136461.i | −0.371737 | + | 0.443019i | ||||
\(556\) | 72870.8 | − | 198299.i | 0.235724 | − | 0.641461i | ||||
\(557\) | 38352.1 | − | 217506.i | 0.123617 | − | 0.701068i | −0.858502 | − | 0.512810i | \(-0.828605\pi\) |
0.982120 | − | 0.188258i | \(-0.0602842\pi\) | |||||||
\(558\) | 642197. | − | 369449.i | 2.06253 | − | 1.18655i | ||||
\(559\) | −322886. | + | 186418.i | −1.03330 | + | 0.596574i | ||||
\(560\) | 93411.5 | + | 17068.0i | 0.297868 | + | 0.0544259i | ||||
\(561\) | 146703. | − | 53395.5i | 0.466137 | − | 0.169660i | ||||
\(562\) | 475998. | + | 736.796i | 1.50707 | + | 0.00233278i | ||||
\(563\) | −111961. | − | 64640.8i | −0.353224 | − | 0.203934i | 0.312880 | − | 0.949793i | \(-0.398706\pi\) |
−0.666104 | + | 0.745858i | \(0.732040\pi\) | |||||||
\(564\) | 48984.0 | − | 17657.2i | 0.153991 | − | 0.0555090i | ||||
\(565\) | −162812. | + | 136616.i | −0.510024 | + | 0.427961i | ||||
\(566\) | −89690.1 | − | 247613.i | −0.279970 | − | 0.772932i | ||||
\(567\) | −9052.82 | + | 1596.26i | −0.0281590 | + | 0.00496520i | ||||
\(568\) | −49535.3 | + | 134156.i | −0.153539 | + | 0.415826i | ||||
\(569\) | −116975. | −0.361299 | −0.180649 | − | 0.983548i | \(-0.557820\pi\) | ||||
−0.180649 | + | 0.983548i | \(0.557820\pi\) | |||||||
\(570\) | −3187.70 | − | 214735.i | −0.00981133 | − | 0.660925i | ||||
\(571\) | 78682.8i | 0.241328i | 0.992693 | + | 0.120664i | \(0.0385024\pi\) | ||||
−0.992693 | + | 0.120664i | \(0.961498\pi\) | |||||||
\(572\) | −57537.9 | + | 9961.93i | −0.175858 | + | 0.0304475i | ||||
\(573\) | 26120.1 | + | 148134.i | 0.0795546 | + | 0.451177i | ||||
\(574\) | −49948.3 | − | 137896.i | −0.151599 | − | 0.418530i | ||||
\(575\) | −77985.4 | − | 92939.4i | −0.235873 | − | 0.281102i | ||||
\(576\) | −97066.5 | + | 522090.i | −0.292566 | + | 1.57362i | ||||
\(577\) | −293027. | + | 507538.i | −0.880150 | + | 1.52446i | −0.0289760 | + | 0.999580i | \(0.509225\pi\) |
−0.851174 | + | 0.524884i | \(0.824109\pi\) | |||||||
\(578\) | −477835. | − | 739.638i | −1.43028 | − | 0.00221393i | ||||
\(579\) | −103074. | − | 283193.i | −0.307462 | − | 0.844746i | ||||
\(580\) | −32364.2 | − | 27328.0i | −0.0962075 | − | 0.0812366i | ||||
\(581\) | −191188. | − | 331148.i | −0.566382 | − | 0.981002i | ||||
\(582\) | −715860. | + | 411826.i | −2.11340 | + | 1.21582i | ||||
\(583\) | −74704.8 | − | 13172.5i | −0.219792 | − | 0.0387552i | ||||
\(584\) | −68009.6 | + | 56530.8i | −0.199409 | + | 0.165752i | ||||
\(585\) | 155569. | + | 130538.i | 0.454580 | + | 0.381438i | ||||
\(586\) | −85533.3 | − | 31281.6i | −0.249081 | − | 0.0910948i | ||||
\(587\) | −77414.2 | + | 212694.i | −0.224670 | + | 0.617275i | −0.999896 | − | 0.0144087i | \(-0.995413\pi\) |
0.775227 | + | 0.631683i | \(0.217636\pi\) | |||||||
\(588\) | −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 | ||||
\(592\) | −287481. | − | 106655.i | −0.820288 | − | 0.304325i | ||||
\(593\) | 59836.1 | + | 50208.4i | 0.170158 | + | 0.142780i | 0.723890 | − | 0.689915i | \(-0.242352\pi\) |
−0.553732 | + | 0.832695i | \(0.686797\pi\) | |||||||
\(594\) | 11606.2 | + | 66422.9i | 0.0328940 | + | 0.188254i | ||||
\(595\) | −164577. | − | 29019.4i | −0.464874 | − | 0.0819699i | ||||
\(596\) | 358930. | + | 1111.18i | 1.01046 | + | 0.00312817i | ||||
\(597\) | 507230. | + | 878548.i | 1.42317 | + | 2.46500i | ||||
\(598\) | −140455. | − | 24990.3i | −0.392768 | − | 0.0698826i | ||||
\(599\) | 9067.36 | + | 24912.4i | 0.0252713 | + | 0.0694323i | 0.951687 | − | 0.307071i | \(-0.0993487\pi\) |
−0.926415 | + | 0.376503i | \(0.877127\pi\) | |||||||
\(600\) | −419417. | + | 239561.i | −1.16505 | + | 0.665447i | ||||
\(601\) | 11742.5 | − | 20338.6i | 0.0325097 | − | 0.0563084i | −0.849313 | − | 0.527890i | \(-0.822983\pi\) |
0.881822 | + | 0.471582i | \(0.156317\pi\) | |||||||
\(602\) | 270181. | + | 227423.i | 0.745525 | + | 0.627539i | ||||
\(603\) | −375430. | − | 447420.i | −1.03251 | − | 1.23050i | ||||
\(604\) | −647945. | − | 116320.i | −1.77609 | − | 0.318845i | ||||
\(605\) | −25037.9 | − | 141997.i | −0.0684050 | − | 0.387944i | ||||
\(606\) | −461293. | − | 551479.i | −1.25612 | − | 1.50170i | ||||
\(607\) | 444345.i | 1.20599i | 0.797746 | + | 0.602994i | \(0.206026\pi\) | ||||
−0.797746 | + | 0.602994i | \(0.793974\pi\) | |||||||
\(608\) | 346264. | − | 129433.i | 0.936698 | − | 0.350138i | ||||
\(609\) | −135733. | −0.365974 | ||||||||
\(610\) | −99197.5 | + | 82975.2i | −0.266588 | + | 0.222992i | ||||
\(611\) | 33754.7 | − | 5951.86i | 0.0904173 | − | 0.0159430i | ||||
\(612\) | 165135. | − | 919863.i | 0.440895 | − | 2.45595i | ||||
\(613\) | 383769. | − | 322021.i | 1.02129 | − | 0.856965i | 0.0315017 | − | 0.999504i | \(-0.489971\pi\) |
0.989789 | + | 0.142539i | \(0.0455266\pi\) | |||||||
\(614\) | −37024.8 | + | 43986.0i | −0.0982100 | + | 0.116675i | ||||
\(615\) | −130463. | − | 75322.7i | −0.344934 | − | 0.199148i | ||||
\(616\) | 27433.1 | + | 48029.1i | 0.0722957 | + | 0.126574i | ||||
\(617\) | 43358.5 | − | 15781.2i | 0.113895 | − | 0.0414544i | −0.284444 | − | 0.958693i | \(-0.591809\pi\) |
0.398339 | + | 0.917238i | \(0.369587\pi\) | |||||||
\(618\) | 43487.4 | − | 244416.i | 0.113864 | − | 0.639961i | ||||
\(619\) | 302967. | − | 174918.i | 0.790705 | − | 0.456514i | −0.0495056 | − | 0.998774i | \(-0.515765\pi\) |
0.840211 | + | 0.542260i | \(0.182431\pi\) | |||||||
\(620\) | 725.138 | − | 234233.i | 0.00188642 | − | 0.609347i | ||||
\(621\) | −28606.0 | + | 162233.i | −0.0741777 | + | 0.420683i | ||||
\(622\) | 54868.4 | − | 9587.24i | 0.141821 | − | 0.0247806i | ||||
\(623\) | 291001. | − | 346801.i | 0.749753 | − | 0.893521i | ||||
\(624\) | −197554. | + | 532495.i | −0.507362 | + | 1.36756i | ||||
\(625\) | −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 | ||||
\(630\) | 66070.9 | − | 180658.i | 0.166467 | − | 0.455172i | ||||
\(631\) | −30895.7 | + | 36820.0i | −0.0775959 | + | 0.0924752i | −0.803446 | − | 0.595378i | \(-0.797002\pi\) |
0.725850 | + | 0.687853i | \(0.241447\pi\) | |||||||
\(632\) | −413431. | − | 497380.i | −1.03507 | − | 1.24524i | ||||
\(633\) | 151544. | − | 859446.i | 0.378208 | − | 2.14492i | ||||
\(634\) | 9635.53 | + | 16749.0i | 0.0239716 | + | 0.0416688i | ||||
\(635\) | 174857. | − | 100954.i | 0.433645 | − | 0.250365i | ||||
\(636\) | −476005. | + | 563727.i | −1.17678 | + | 1.39365i | ||||
\(637\) | −156670. | + | 57023.2i | −0.386106 | + | 0.140531i | ||||
\(638\) | 38.1917 | − | 24673.3i | 9.38269e−5 | − | 0.0606157i | ||||
\(639\) | 250887. | + | 144849.i | 0.614435 | + | 0.354744i | ||||
\(640\) | 127434. | + | 109305.i | 0.311119 | + | 0.266857i | ||||
\(641\) | 81942.7 | − | 68758.1i | 0.199432 | − | 0.167343i | −0.537603 | − | 0.843198i | \(-0.680670\pi\) |
0.737034 | + | 0.675855i | \(0.236226\pi\) | |||||||
\(642\) | −370094. | + | 134055.i | −0.897928 | + | 0.325246i | ||||
\(643\) | 273954. | − | 48305.5i | 0.662607 | − | 0.116835i | 0.167777 | − | 0.985825i | \(-0.446341\pi\) |
0.494830 | + | 0.868990i | \(0.335230\pi\) | |||||||
\(644\) | 23053.1 | + | 133150.i | 0.0555850 | + | 0.321047i | ||||
\(645\) | 362745. | 0.871931 | ||||||||
\(646\) | −607965. | + | 231557.i | −1.45685 | + | 0.554873i | ||||
\(647\) | 537299.i | 1.28353i | 0.766900 | + | 0.641767i | \(0.221798\pi\) | ||||
−0.766900 | + | 0.641767i | \(0.778202\pi\) | |||||||
\(648\) | −15246.5 | − | 5629.60i | −0.0363096 | − | 0.0134069i | ||||
\(649\) | 21487.4 | + | 121861.i | 0.0510146 | + | 0.289318i | ||||
\(650\) | −298943. | + | 108283.i | −0.707558 | + | 0.256290i | ||||
\(651\) | −482457. | − | 574970.i | −1.13841 | − | 1.35670i | ||||
\(652\) | −78918.2 | − | 218932.i | −0.185644 | − | 0.515009i | ||||
\(653\) | −81114.5 | + | 140494.i | −0.190227 | + | 0.329483i | −0.945325 | − | 0.326129i | \(-0.894256\pi\) |
0.755098 | + | 0.655611i | \(0.227589\pi\) | |||||||
\(654\) | 917.672 | − | 592851.i | 0.00214552 | − | 1.38609i | ||||
\(655\) | 28391.6 | + | 78005.2i | 0.0661770 | + | 0.181820i | ||||
\(656\) | 46608.3 | − | 255083.i | 0.108307 | − | 0.592754i | ||||
\(657\) | 89575.0 | + | 155148.i | 0.207518 | + | 0.359432i | ||||
\(658\) | −16189.5 | − | 28141.6i | −0.0373923 | − | 0.0649976i | ||||
\(659\) | 510112. | + | 89946.5i | 1.17461 | + | 0.207116i | 0.726696 | − | 0.686959i | \(-0.241055\pi\) |
0.447917 | + | 0.894075i | \(0.352166\pi\) | |||||||
\(660\) | 53326.8 | + | 19596.5i | 0.122421 | + | 0.0449874i | ||||
\(661\) | 351205. | + | 294696.i | 0.803817 | + | 0.674483i | 0.949124 | − | 0.314904i | \(-0.101972\pi\) |
−0.145306 | + | 0.989387i | \(0.546417\pi\) | |||||||
\(662\) | −123232. | + | 336954.i | −0.281195 | + | 0.768873i | ||||
\(663\) | 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 | ||||
\(668\) | 285360. | + | 342224.i | 0.639499 | + | 0.766934i | ||||
\(669\) | 124151. | + | 104175.i | 0.277394 | + | 0.232761i | ||||
\(670\) | −181899. | + | 31783.5i | −0.405211 | + | 0.0708031i | ||||
\(671\) | −74185.5 | − | 13080.9i | −0.164769 | − | 0.0290531i | ||||
\(672\) | 537963. | + | 4163.64i | 1.19128 | + | 0.00922007i | ||||
\(673\) | −317579. | − | 550062.i | −0.701167 | − | 1.21446i | −0.968057 | − | 0.250729i | \(-0.919330\pi\) |
0.266891 | − | 0.963727i | \(-0.414004\pi\) | |||||||
\(674\) | −70845.6 | + | 398180.i | −0.155953 | + | 0.876516i | ||||
\(675\) | 125572. | + | 345005.i | 0.275603 | + | 0.757213i | ||||
\(676\) | 41776.5 | − | 71844.4i | 0.0914195 | − | 0.157217i | ||||
\(677\) | 389470. | − | 674582.i | 0.849762 | − | 1.47183i | −0.0316595 | − | 0.999499i | \(-0.510079\pi\) |
0.881421 | − | 0.472331i | \(-0.156587\pi\) | |||||||
\(678\) | −775417. | + | 921206.i | −1.68685 | + | 2.00400i | ||||
\(679\) | 330999. | + | 394469.i | 0.717939 | + | 0.855606i | ||||
\(680\) | −225457. | − | 190972.i | −0.487581 | − | 0.413002i | ||||
\(681\) | 60708.8 | + | 344297.i | 0.130905 | + | 0.742401i | ||||
\(682\) | 104653. | − | 87538.6i | 0.225000 | − | 0.188205i | ||||
\(683\) | 200843.i | 0.430542i | 0.976554 | + | 0.215271i | \(0.0690635\pi\) | ||||
−0.976554 | + | 0.215271i | \(0.930937\pi\) | |||||||
\(684\) | −139829. | − | 735674.i | −0.298872 | − | 1.57244i | ||||
\(685\) | −4789.52 | −0.0102073 | ||||||||
\(686\) | 324375. | + | 387793.i | 0.689286 | + | 0.824047i | ||||
\(687\) | 914426. | − | 161238.i | 1.93747 | − | 0.341628i | ||||
\(688\) | 209918. | + | 588050.i | 0.443480 | + | 1.24233i | ||||
\(689\) | −372050. | + | 312187.i | −0.783724 | + | 0.657622i | ||||
\(690\) | 106189. | + | 89383.3i | 0.223038 | + | 0.187741i | ||||
\(691\) | −237701. | − | 137237.i | −0.497823 | − | 0.287418i | 0.229991 | − | 0.973193i | \(-0.426130\pi\) |
−0.727814 | + | 0.685775i | \(0.759464\pi\) | |||||||
\(692\) | 211729. | − | 364117.i | 0.442148 | − | 0.760377i | ||||
\(693\) | 105290. | − | 38322.4i | 0.219240 | − | 0.0797969i | ||||
\(694\) | 208421. | + | 37083.0i | 0.432735 | + | 0.0769938i | ||||
\(695\) | −117177. | + | 67651.9i | −0.242589 | + | 0.140059i | ||||
\(696\) | −207270. | − | 120954.i | −0.427876 | − | 0.249691i | ||||
\(697\) | −79244.6 | + | 449419.i | −0.163119 | + | 0.925093i | ||||
\(698\) | 65276.2 | + | 373580.i | 0.133981 | + | 0.766784i | ||||
\(699\) | −853301. | + | 1.01692e6i | −1.74642 | + | 2.08130i | ||||
\(700\) | 192871. | + | 231305.i | 0.393614 | + | 0.472052i | ||||
\(701\) | 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 | ||||
\(706\) | −306406. | − | 112060.i | −0.614736 | − | 0.224824i | ||||
\(707\) | −288157. | + | 343412.i | −0.576488 | + | 0.687031i | ||||
\(708\) | 1.12969e6 | + | 415137.i | 2.25367 | + | 0.828180i | ||||
\(709\) | −49185.1 | + | 278943.i | −0.0978456 | + | 0.554910i | 0.895993 | + | 0.444069i | \(0.146466\pi\) |
−0.993838 | + | 0.110841i | \(0.964646\pi\) | |||||||
\(710\) | 79389.8 | − | 45672.0i | 0.157488 | − | 0.0906011i | ||||
\(711\) | −1.13466e6 | + | 655096.i | −2.24453 | + | 1.29588i | ||||
\(712\) | 753414. | − | 270265.i | 1.48619 | − | 0.533126i | ||||
\(713\) | 313226. | − | 114005.i | 0.616139 | − | 0.224256i | ||||
\(714\) | −946786. | − | 1465.53i | −1.85719 | − | 0.00287473i | ||||
\(715\) | 32387.9 | + | 18699.2i | 0.0633535 | + | 0.0365772i | ||||
\(716\) | 41295.1 | + | 114560.i | 0.0805513 | + | 0.223463i | ||||
\(717\) | 821968. | − | 689713.i | 1.59888 | − | 1.34162i | ||||
\(718\) | 35114.9 | + | 96944.0i | 0.0681149 | + | 0.188049i | ||||
\(719\) | 660766. | − | 116511.i | 1.27817 | − | 0.225376i | 0.506969 | − | 0.861964i | \(-0.330766\pi\) |
0.771204 | + | 0.636588i | \(0.219655\pi\) | |||||||
\(720\) | 261882. | − | 216996.i | 0.505173 | − | 0.418588i | ||||
\(721\) | −154791. | −0.297767 | ||||||||
\(722\) | −388667. | + | 347383.i | −0.745596 | + | 0.666398i | ||||
\(723\) | − | 331444.i | − | 0.634066i | ||||||
\(724\) | −121251. | − | 700318.i | −0.231317 | − | 1.33604i | ||||
\(725\) | −23328.6 | − | 132303.i | −0.0443826 | − | 0.251706i | ||||
\(726\) | −278204. | − | 768055.i | −0.527824 | − | 1.45720i | ||||
\(727\) | −271689. | − | 323787.i | −0.514048 | − | 0.612619i | 0.445115 | − | 0.895474i | \(-0.353163\pi\) |
−0.959163 | + | 0.282855i | \(0.908718\pi\) | |||||||
\(728\) | 348464. | + | 63113.4i | 0.657499 | + | 0.119086i | ||||
\(729\) | −431486. | + | 747356.i | −0.811917 | + | 1.40628i | ||||
\(730\) | 56639.0 | + | 87.6714i | 0.106285 | + | 0.000164517i | ||||
\(731\) | −375835. | − | 1.03260e6i | −0.703335 | − | 1.93240i | ||||
\(732\) | −472696. | + | 559809.i | −0.882186 | + | 1.04476i | ||||
\(733\) | 189120. | + | 327566.i | 0.351990 | + | 0.609664i | 0.986598 | − | 0.163170i | \(-0.0521719\pi\) |
−0.634608 | + | 0.772834i | \(0.718839\pi\) | |||||||
\(734\) | 2538.42 | − | 1460.32i | 0.00471164 | − | 0.00271055i | ||||
\(735\) | 159748. | + | 28167.8i | 0.295706 | + | 0.0521409i | ||||
\(736\) | −83449.4 | + | 223869.i | −0.154052 | + | 0.413274i | ||||
\(737\) | −82394.8 | − | 69137.4i | −0.151693 | − | 0.127285i | ||||
\(738\) | −493331. | − | 180423.i | −0.905786 | − | 0.331268i | ||||
\(739\) | −139181. | + | 382396.i | −0.254853 | + | 0.700204i | 0.744612 | + | 0.667498i | \(0.232635\pi\) |
−0.999465 | + | 0.0327059i | \(0.989588\pi\) | |||||||
\(740\) | 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 | \(-0.713957\pi\) |
0.979967 | − | 0.199159i | \(-0.0638211\pi\) | |||||||
\(744\) | −224367. | − | 1.30794e6i | −0.405334 | − | 2.36287i | ||||
\(745\) | −176096. | − | 147762.i | −0.317276 | − | 0.266227i | ||||
\(746\) | 113929. | + | 652026.i | 0.204719 | + | 1.17162i | ||||
\(747\) | −1.34871e6 | − | 237815.i | −2.41701 | − | 0.426184i | ||||
\(748\) | 532.802 | − | 172105.i | 0.000952276 | − | 0.307602i | ||||
\(749\) | 122716. | + | 212550.i | 0.218745 | + | 0.378877i | ||||
\(750\) | 670623. | + | 119320.i | 1.19222 | + | 0.212124i | ||||
\(751\) | −42072.6 | − | 115594.i | −0.0745967 | − | 0.204953i | 0.896790 | − | 0.442457i | \(-0.145893\pi\) |
−0.971387 | + | 0.237504i | \(0.923671\pi\) | |||||||
\(752\) | 355.404 | − | 57400.4i | 0.000628473 | − | 0.101503i | ||||
\(753\) | −100778. | + | 174553.i | −0.177736 | + | 0.307848i | ||||
\(754\) | −120856. | − | 101729.i | −0.212581 | − | 0.178938i | ||||
\(755\) | 271005. | + | 322972.i | 0.475427 | + | 0.566592i | ||||
\(756\) | 72256.1 | − | 402494.i | 0.126424 | − | 0.704233i | ||||
\(757\) | −44611.0 | − | 253001.i | −0.0778485 | − | 0.441501i | −0.998672 | − | 0.0515209i | \(-0.983593\pi\) |
0.920823 | − | 0.389980i | \(-0.127518\pi\) | |||||||
\(758\) | 465099. | + | 556030.i | 0.809482 | + | 0.967742i | ||||
\(759\) | 80848.7i | 0.140343i | ||||||||
\(760\) | −223409. | − | 78354.4i | −0.386788 | − | 0.135655i | ||||
\(761\) | 667985. | 1.15345 | 0.576723 | − | 0.816940i | \(-0.304331\pi\) | ||||
0.576723 | + | 0.816940i | \(0.304331\pi\) | |||||||
\(762\) | 877410. | − | 733923.i | 1.51110 | − | 1.26398i | ||||
\(763\) | −364038. | + | 64189.7i | −0.625313 | + | 0.110260i | ||||
\(764\) | 163214. | + | 29300.4i | 0.279622 | + | 0.0501980i | ||||
\(765\) | −458510. | + | 384736.i | −0.783477 | + | 0.657415i | ||||
\(766\) | −70118.3 | + | 83301.5i | −0.119502 | + | 0.141970i | ||||
\(767\) | 686112. | + | 396127.i | 1.16628 | + | 0.673354i | ||||
\(768\) | 817785. | + | 485749.i | 1.38649 | + | 0.823549i | ||||
\(769\) | −1.00825e6 | + | 366972.i | −1.70496 | + | 0.620554i | −0.996375 | − | 0.0850724i | \(-0.972888\pi\) |
−0.708584 | + | 0.705627i | \(0.750666\pi\) | |||||||
\(770\) | 6205.34 | − | 34876.5i | 0.0104661 | − | 0.0588235i | ||||
\(771\) | −1.11550e6 | + | 644035.i | −1.87656 | + | 1.08343i | ||||
\(772\) | −332228. | − | 1028.51i | −0.557445 | − | 0.00172574i | ||||
\(773\) | 31114.4 | − | 176458.i | 0.0520718 | − | 0.295314i | −0.947640 | − | 0.319342i | \(-0.896538\pi\) |
0.999711 | + | 0.0240284i | \(0.00764921\pi\) | |||||||
\(774\) | 1.24599e6 | − | 217713.i | 2.07985 | − | 0.363414i | ||||
\(775\) | 477521. | − | 569088.i | 0.795041 | − | 0.947493i | ||||
\(776\) | 153931. | + | 897334.i | 0.255625 | + | 1.49015i | ||||
\(777\) | 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 | ||||
\(782\) | 144420. | − | 394887.i | 0.236164 | − | 0.645743i | ||||
\(783\) | −117254. | + | 139737.i | −0.191251 | + | 0.227923i | ||||
\(784\) | 46781.9 | + | 275269.i | 0.0761107 | + | 0.447842i | ||||
\(785\) | 13914.3 | − | 78912.0i | 0.0225799 | − | 0.128057i | ||||
\(786\) | 234518. | + | 407652.i | 0.379604 | + | 0.659850i | ||||
\(787\) | −137272. | + | 79254.3i | −0.221633 | + | 0.127960i | −0.606706 | − | 0.794926i | \(-0.707509\pi\) |
0.385073 | + | 0.922886i | \(0.374176\pi\) | |||||||
\(788\) | −506655. | − | 427814.i | −0.815943 | − | 0.688974i | ||||
\(789\) | −1.56879e6 | + | 570992.i | −2.52006 | + | 0.917226i | ||||
\(790\) | −641.174 | + | 414223.i | −0.00102736 | + | 0.663712i | ||||
\(791\) | 650201. | + | 375394.i | 1.03919 | + | 0.599976i | ||||
\(792\) | 194932. | + | 35306.0i | 0.310766 | + | 0.0562857i | ||||
\(793\) | −369464. | + | 310017.i | −0.587525 | + | 0.492992i | ||||
\(794\) | 409462. | − | 148315.i | 0.649490 | − | 0.235257i | ||||
\(795\) | 465353. | − | 82054.2i | 0.736288 | − | 0.129828i | ||||
\(796\) | 1.10195e6 | − | 190788.i | 1.73915 | − | 0.301110i | ||||
\(797\) | −136117. | −0.214287 | −0.107144 | − | 0.994244i | \(-0.534170\pi\) | ||||
−0.107144 | + | 0.994244i | \(0.534170\pi\) | |||||||
\(798\) | −708954. | + | 270021.i | −1.11330 | + | 0.424026i | ||||
\(799\) | 101021.i | 0.158240i | ||||||||
\(800\) | 88402.2 | + | 525086.i | 0.138128 | + | 0.820446i | ||||
\(801\) | −281562. | − | 1.59682e6i | −0.438843 | − | 2.48880i | ||||
\(802\) | 581240. | − | 210536.i | 0.903664 | − | 0.327324i | ||||
\(803\) | 21206.5 | + | 25272.9i | 0.0328880 | + | 0.0391944i | ||||
\(804\) | −984166. | + | 354761.i | −1.52250 | + | 0.548811i | ||||
\(805\) | 43272.1 | − | 74949.5i | 0.0667754 | − | 0.115658i | ||||
\(806\) | 1352.15 | − | 873543.i | 0.00208140 | − | 1.34467i | ||||
\(807\) | −528722. | − | 1.45265e6i | −0.811859 | − | 2.23056i | ||||
\(808\) | −746051. | + | 267624.i | −1.14274 | + | 0.409922i | ||||
\(809\) | −115839. | − | 200640.i | −0.176994 | − | 0.306563i | 0.763855 | − | 0.645387i | \(-0.223304\pi\) |
−0.940850 | + | 0.338824i | \(0.889971\pi\) | |||||||
\(810\) | 5190.54 | + | 9022.50i | 0.00791120 | + | 0.0137517i | ||||
\(811\) | 510248. | + | 89970.5i | 0.775782 | + | 0.136791i | 0.547502 | − | 0.836804i | \(-0.315579\pi\) |
0.228280 | + | 0.973596i | \(0.426690\pi\) | |||||||
\(812\) | −51612.4 | + | 140449.i | −0.0782784 | + | 0.213014i | ||||
\(813\) | −507908. | − | 426185.i | −0.768429 | − | 0.644788i | ||||
\(814\) | −39289.3 | + | 107429.i | −0.0592961 | + | 0.162133i | ||||
\(815\) | −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 | ||||
\(820\) | −127549. | + | 106355.i | −0.189692 | + | 0.158172i | ||||
\(821\) | 865312. | + | 726083.i | 1.28377 | + | 1.07721i | 0.992713 | + | 0.120502i | \(0.0384504\pi\) |
0.291054 | + | 0.956707i | \(0.405994\pi\) | |||||||
\(822\) | −26729.8 | + | 4670.53i | −0.0395596 | + | 0.00691230i | ||||
\(823\) | 938386. | + | 165463.i | 1.38542 | + | 0.244287i | 0.816139 | − | 0.577855i | \(-0.196110\pi\) |
0.569282 | + | 0.822142i | \(0.307221\pi\) | |||||||
\(824\) | −236374. | − | 137938.i | −0.348133 | − | 0.203156i | ||||
\(825\) | 90094.1 | + | 156048.i | 0.132370 | + | 0.229271i | ||||
\(826\) | 131455. | − | 738831.i | 0.192672 | − | 1.08289i | ||||
\(827\) | 154134. | + | 423479.i | 0.225365 | + | 0.619186i | 0.999911 | − | 0.0133317i | \(-0.00424375\pi\) |
−0.774546 | + | 0.632518i | \(0.782022\pi\) | |||||||
\(828\) | 418391. | + | 243288.i | 0.610270 | + | 0.354863i | ||||
\(829\) | 523058. | − | 905963.i | 0.761098 | − | 1.31826i | −0.181187 | − | 0.983449i | \(-0.557994\pi\) |
0.942285 | − | 0.334812i | \(-0.108673\pi\) | |||||||
\(830\) | −278827. | + | 331251.i | −0.404743 | + | 0.480840i | ||||
\(831\) | 1.05141e6 | + | 1.25302e6i | 1.52255 | + | 1.81450i | ||||
\(832\) | 475879. | + | 406901.i | 0.687464 | + | 0.587817i | ||||
\(833\) | −85329.0 | − | 483925.i | −0.122972 | − | 0.697410i | ||||
\(834\) | −587978. | + | 491823.i | −0.845336 | + | 0.707094i | ||||
\(835\) | − | 285375.i | − | 0.409302i | ||||||
\(836\) | −48884.6 | − | 128949.i | −0.0699454 | − | 0.184503i | ||||
\(837\) | −1.00871e6 | −1.43984 | ||||||||
\(838\) | −263889. | − | 315481.i | −0.375780 | − | 0.449247i | ||||
\(839\) | −550108. | + | 96998.9i | −0.781491 | + | 0.137798i | −0.550140 | − | 0.835072i | \(-0.685426\pi\) |
−0.231351 | + | 0.972870i | \(0.574315\pi\) | |||||||
\(840\) | −262908. | − | 222695.i | −0.372602 | − | 0.315610i | ||||
\(841\) | −490677. | + | 411727.i | −0.693751 | + | 0.582126i | ||||
\(842\) | −1.04745e6 | − | 881677.i | −1.47743 | − | 1.24361i | ||||
\(843\) | −1.49574e6 | − | 863563.i | −2.10475 | − | 1.21518i | ||||
\(844\) | −831688. | − | 483615.i | −1.16755 | − | 0.678914i | ||||
\(845\) | −50016.3 | + | 18204.4i | −0.0700484 | + | 0.0254955i | ||||
\(846\) | −114483. | − | 20369.2i | −0.159956 | − | 0.0284599i | ||||
\(847\) | −441105. | + | 254672.i | −0.614859 | + | 0.354989i | ||||
\(848\) | 402316. | + | 706904.i | 0.559468 | + | 0.983034i | ||||
\(849\) | −165933. | + | 941053.i | −0.230206 | + | 1.30556i | ||||
\(850\) | −161297. | − | 923114.i | −0.223248 | − | 1.27767i | ||||
\(851\) | −179633. | + | 214078.i | −0.248043 | + | 0.295606i | ||||
\(852\) | 398528. | − | 332308.i | 0.549010 | − | 0.457785i | ||||
\(853\) | −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 | \(0.606818\pi\) | |||||||
\(858\) | 198988. | + | 72774.7i | 0.270304 | + | 0.0988566i | ||||
\(859\) | −26996.4 | + | 32173.0i | −0.0365864 | + | 0.0436019i | −0.784027 | − | 0.620726i | \(-0.786838\pi\) |
0.747441 | + | 0.664328i | \(0.231282\pi\) | |||||||
\(860\) | 137934. | − | 375351.i | 0.186498 | − | 0.507505i | ||||
\(861\) | −92407.9 | + | 524071.i | −0.124653 | + | 0.706943i | ||||
\(862\) | −182584. | + | 105038.i | −0.245724 | + | 0.141362i | ||||
\(863\) | 428508. | − | 247399.i | 0.575357 | − | 0.332182i | −0.183929 | − | 0.982940i | \(-0.558882\pi\) |
0.759286 | + | 0.650757i | \(0.225548\pi\) | |||||||
\(864\) | 469010. | − | 550239.i | 0.628282 | − | 0.737096i | ||||
\(865\) | −253489. | + | 92262.6i | −0.338788 | + | 0.123309i | ||||
\(866\) | −794545. | − | 1229.87i | −1.05946 | − | 0.00163993i | ||||
\(867\) | 1.50151e6 | + | 866895.i | 1.99751 | + | 1.15326i | ||||
\(868\) | −778406. | + | 280591.i | −1.03316 | + | 0.372421i | ||||
\(869\) | −184830. | + | 155091.i | −0.244756 | + | 0.205375i | ||||
\(870\) | 52343.3 | + | 144508.i | 0.0691549 | + | 0.190920i | ||||
\(871\) | −678185. | + | 119582.i | −0.893947 | + | 0.157627i | ||||
\(872\) | −613104. | − | 226381.i | −0.806309 | − | 0.297720i | ||||
\(873\) | 1.84432e6 | 2.41996 | ||||||||
\(874\) | −5000.82 | − | 336873.i | −0.00654664 | − | 0.441004i | ||||
\(875\) | − | 424713.i | − | 0.554727i | ||||||
\(876\) | 316182. | − | 54742.7i | 0.412030 | − | 0.0713375i | ||||
\(877\) | −7376.03 | − | 41831.5i | −0.00959011 | − | 0.0543882i | 0.979637 | − | 0.200776i | \(-0.0643464\pi\) |
−0.989227 | + | 0.146388i | \(0.953235\pi\) | |||||||
\(878\) | 283298. | + | 782120.i | 0.367498 | + | 1.01458i | ||||
\(879\) | 212413. | + | 253143.i | 0.274918 | + | 0.327634i | ||||
\(880\) | 40555.0 | − | 47728.3i | 0.0523696 | − | 0.0616326i | ||||
\(881\) | 598445. | − | 1.03654e6i | 0.771032 | − | 1.33547i | −0.165966 | − | 0.986131i | \(-0.553074\pi\) |
0.936998 | − | 0.349334i | \(-0.113592\pi\) | |||||||
\(882\) | 565619. | + | 875.520i | 0.727088 | + | 0.00112546i | ||||
\(883\) | 192930. | + | 530071.i | 0.247445 | + | 0.679849i | 0.999778 | + | 0.0210663i | \(0.00670611\pi\) |
−0.752333 | + | 0.658783i | \(0.771072\pi\) | |||||||
\(884\) | −841914. | − | 710903.i | −1.07737 | − | 0.909716i | ||||
\(885\) | −385405. | − | 667541.i | −0.492075 | − | 0.852298i | ||||
\(886\) | 597113. | − | 343512.i | 0.760657 | − | 0.437597i | ||||
\(887\) | −560042. | − | 98750.5i | −0.711825 | − | 0.125514i | −0.194001 | − | 0.981001i | \(-0.562147\pi\) |
−0.517824 | + | 0.855487i | \(0.673258\pi\) | |||||||
\(888\) | 711185. | + | 855595.i | 0.901897 | + | 1.08503i | ||||
\(889\) | −546372. | − | 458461.i | −0.691330 | − | 0.580094i | ||||
\(890\) | −481442. | − | 176075.i | −0.607805 | − | 0.222289i | ||||
\(891\) | −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 | ||||
\(896\) | 208869. | − | 555075.i | 0.260171 | − | 0.691410i | ||||
\(897\) | 396532. | + | 332730.i | 0.492825 | + | 0.413530i | ||||
\(898\) | −67794.6 | − | 387993.i | −0.0840703 | − | 0.481140i | ||||
\(899\) | 363493. | + | 64093.6i | 0.449755 | + | 0.0793040i | ||||
\(900\) | 1.07865e6 | + | 3339.30i | 1.33167 | + | 0.00412259i | ||||
\(901\) | −715723. | − | 1.23967e6i | −0.881648 | − | 1.52706i | ||||
\(902\) | −95238.9 | − | 16945.2i | −0.117058 | − | 0.0208274i | ||||
\(903\) | −438265. | − | 1.20412e6i | −0.537478 | − | 1.47671i | ||||
\(904\) | 658366. | + | 1.15265e6i | 0.805621 | + | 1.41046i | ||||
\(905\) | −227595. | + | 394206.i | −0.277885 | + | 0.481312i | ||||
\(906\) | 1.82740e6 | + | 1.53820e6i | 2.22627 | + | 1.87394i | ||||
\(907\) | −43101.5 | − | 51366.4i | −0.0523935 | − | 0.0624402i | 0.739211 | − | 0.673474i | \(-0.235199\pi\) |
−0.791605 | + | 0.611033i | \(0.790754\pi\) | |||||||
\(908\) | 379346. | + | 68100.5i | 0.460112 | + | 0.0825997i | ||||
\(909\) | 278810. | + | 1.58121e6i | 0.337428 | + | 1.91365i | ||||
\(910\) | −145518. | − | 173967.i | −0.175725 | − | 0.210080i | ||||
\(911\) | 893700.i | 1.07685i | 0.842674 | + | 0.538425i | \(0.180980\pi\) | ||||
−0.842674 | + | 0.538425i | \(0.819020\pi\) | |||||||
\(912\) | −1.32323e6 | − | 219429.i | −1.59091 | − | 0.263818i | ||||
\(913\) | −252204. | −0.302560 | ||||||||
\(914\) | 274304. | − | 229446.i | 0.328352 | − | 0.274655i | ||||
\(915\) | 462118. | − | 81483.9i | 0.551964 | − | 0.0973262i | ||||
\(916\) | 180870. | − | 1.00751e6i | 0.215563 | − | 1.20077i | ||||
\(917\) | 224634. | − | 188490.i | 0.267138 | − | 0.224156i | ||||
\(918\) | −819396. | + | 973454.i | −0.972318 | + | 1.15513i | ||||
\(919\) | −248235. | − | 143318.i | −0.293921 | − | 0.169696i | 0.345788 | − | 0.938313i | \(-0.387612\pi\) |
−0.639709 | + | 0.768617i | \(0.720945\pi\) | |||||||
\(920\) | 132868. | − | 75890.7i | 0.156980 | − | 0.0896629i | ||||
\(921\) | 196033. | − | 71350.2i | 0.231105 | − | 0.0841154i | ||||
\(922\) | −200932. | + | 1.12932e6i | −0.236367 | + | 1.32848i | ||||
\(923\) | 295810. | − | 170786.i | 0.347223 | − | 0.200469i | ||||
\(924\) | 621.306 | − | 200693.i | 0.000727715 | − | 0.235065i | ||||
\(925\) | −108154. | + | 613370.i | −0.126403 | + | 0.716868i | ||||
\(926\) | 1.01546e6 | − | 177433.i | 1.18425 | − | 0.206925i | ||||
\(927\) | −356362. | + | 424696.i | −0.414698 | + | 0.494218i | ||||
\(928\) | −203972. | + | 168480.i | −0.236851 | + | 0.195638i | ||||
\(929\) | 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 | ||||
\(934\) | −362950. | + | 992415.i | −0.416057 | + | 1.13763i | ||||
\(935\) | −70851.1 | + | 84437.1i | −0.0810445 | + | 0.0965851i | ||||
\(936\) | 975399. | − | 810768.i | 1.11335 | − | 0.925433i | ||||
\(937\) | −13911.5 | + | 78896.0i | −0.0158451 | + | 0.0898619i | −0.991705 | − | 0.128536i | \(-0.958972\pi\) |
0.975860 | + | 0.218398i | \(0.0700832\pi\) | |||||||
\(938\) | 325273. | + | 565409.i | 0.369694 | + | 0.642624i | ||||
\(939\) | −732576. | + | 422953.i | −0.830848 | + | 0.479690i | ||||
\(940\) | −23717.7 | + | 28088.6i | −0.0268421 | + | 0.0317888i | ||||
\(941\) | 188058. | − | 68447.4i | 0.212379 | − | 0.0772996i | −0.233640 | − | 0.972323i | \(-0.575064\pi\) |
0.446019 | + | 0.895024i | \(0.352841\pi\) | |||||||
\(942\) | 702.695 | − | 453968.i | 0.000791891 | − | 0.511591i | ||||
\(943\) | −204668. | − | 118165.i | −0.230158 | − | 0.132882i | ||||
\(944\) | 859126. | − | 1.01109e6i | 0.964080 | − | 1.13460i | ||||
\(945\) | −200625. | + | 168345.i | −0.224658 | + | 0.188511i | ||||
\(946\) | 219007. | − | 79328.2i | 0.244723 | − | 0.0886432i | ||||
\(947\) | −62740.8 | + | 11062.9i | −0.0699601 | + | 0.0123359i | −0.208519 | − | 0.978018i | \(-0.566864\pi\) |
0.138559 | + | 0.990354i | \(0.455753\pi\) | |||||||
\(948\) | 400354. | + | 2.31236e6i | 0.445479 | + | 2.57299i | ||||
\(949\) | 211228. | 0.234541 | ||||||||
\(950\) | −385047. | − | 644631.i | −0.426645 | − | 0.714273i | ||||
\(951\) | − | 70111.7i | − | 0.0775227i | ||||||
\(952\) | −361532. | + | 979130.i | −0.398908 | + | 1.08035i | ||||
\(953\) | −38152.6 | − | 216374.i | −0.0420086 | − | 0.238243i | 0.956572 | − | 0.291495i | \(-0.0941525\pi\) |
−0.998581 | + | 0.0532518i | \(0.983041\pi\) | |||||||
\(954\) | 1.54918e6 | − | 561142.i | 1.70218 | − | 0.616562i | ||||
\(955\) | −68265.0 | − | 81355.0i | −0.0748499 | − | 0.0892026i | ||||
\(956\) | −401127. | − | 1.11280e6i | −0.438901 | − | 1.21759i | ||||
\(957\) | −44762.6 | + | 77531.1i | −0.0488755 | + | 0.0846549i | ||||
\(958\) | 2026.74 | − | 1.30935e6i | 0.00220835 | − | 1.42668i | ||||
\(959\) | 5786.64 | + | 15898.7i | 0.00629201 | + | 0.0172872i | ||||
\(960\) | −203025. | − | 574348.i | −0.220296 | − | 0.623208i | ||||
\(961\) | 558759. | + | 967800.i | 0.605032 | + | 1.04795i | ||||
\(962\) | 365203. | + | 634818.i | 0.394625 | + | 0.685961i | ||||
\(963\) | 865684. | + | 152643.i | 0.933484 | + | 0.164598i | ||||
\(964\) | −342962. | − | 126032.i | −0.369056 | − | 0.135621i | ||||
\(965\) | 162996. | + | 136770.i | 0.175034 | + | 0.146871i | ||||
\(966\) | 168409. | − | 460482.i | 0.180473 | − | 0.493467i | ||||
\(967\) | 189820. | − | 521527.i | 0.202997 | − | 0.557729i | −0.795862 | − | 0.605477i | \(-0.792982\pi\) |
0.998859 | + | 0.0477480i | \(0.0152044\pi\) | |||||||
\(968\) | −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 | \(-0.595436\pi\) |
0.840363 | − | 0.542023i | \(-0.182342\pi\) | |||||||
\(972\) | 623776. | + | 748079.i | 0.660232 | + | 0.791799i | ||||
\(973\) | 366140. | + | 307228.i | 0.386742 | + | 0.324515i | ||||
\(974\) | −1.10283e6 | + | 192699.i | −1.16249 | + | 0.203124i | ||||
\(975\) | 1.13613e6 | + | 200331.i | 1.19514 | + | 0.210736i | ||||
\(976\) | 399520. | + | 701990.i | 0.419410 | + | 0.736939i | ||||
\(977\) | −130503. | − | 226037.i | −0.136719 | − | 0.236805i | 0.789534 | − | 0.613707i | \(-0.210322\pi\) |
−0.926253 | + | 0.376903i | \(0.876989\pi\) | |||||||
\(978\) | −147918. | + | 831358.i | −0.154648 | + | 0.869181i | ||||
\(979\) | −102127. | − | 280591.i | −0.106555 | − | 0.292758i | ||||
\(980\) | 89890.7 | − | 154588.i | 0.0935972 | − | 0.160962i | ||||
\(981\) | −661976. | + | 1.14658e6i | −0.687867 | + | 1.19142i | ||||
\(982\) | 799308. | − | 949590.i | 0.828879 | − | 0.984721i | ||||
\(983\) | −1.04482e6 | − | 1.24516e6i | −1.08127 | − | 1.28860i | −0.955000 | − | 0.296606i | \(-0.904145\pi\) |
−0.126266 | − | 0.991996i | \(-0.540299\pi\) | |||||||
\(984\) | −608123. | + | 717935.i | −0.628060 | + | 0.741472i | ||||
\(985\) | 73747.1 | + | 418240.i | 0.0760103 | + | 0.431076i | ||||
\(986\) | 357127. | − | 298724.i | 0.367340 | − | 0.307267i | ||||
\(987\) | 117801.i | 0.120925i | ||||||||
\(988\) | −833625. | − | 290922.i | −0.853998 | − | 0.298032i | ||||
\(989\) | 569069. | 0.581799 | ||||||||
\(990\) | −81403.4 | − | 97318.3i | −0.0830562 | − | 0.0992943i | ||||
\(991\) | −492663. | + | 86869.8i | −0.501652 | + | 0.0884548i | −0.418748 | − | 0.908103i | \(-0.637531\pi\) |
−0.0829047 | + | 0.996557i | \(0.526420\pi\) | |||||||
\(992\) | −1.43870e6 | − | 265179.i | −1.46200 | − | 0.269473i | ||||
\(993\) | 997246. | − | 836789.i | 1.01136 | − | 0.848628i | ||||
\(994\) | −247525. | − | 208352.i | −0.250522 | − | 0.210875i | ||||
\(995\) | −620285. | − | 358122.i | −0.626535 | − | 0.361730i | ||||
\(996\) | −1.23308e6 | + | 2.12058e6i | −1.24301 | + | 2.13764i | ||||
\(997\) | −584690. | + | 212810.i | −0.588214 | + | 0.214092i | −0.618944 | − | 0.785435i | \(-0.712439\pi\) |
0.0307296 | + | 0.999528i | \(0.490217\pi\) | |||||||
\(998\) | −67915.1 | − | 12083.7i | −0.0681876 | − | 0.0121322i | ||||
\(999\) | 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.23.10 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.18 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.18 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.10 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.10 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.18 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.10 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.18 | yes | 228 | 19.5 | even | 9 | inner |