Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.5.h.a.3.2 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.89615 | − | 6.01392i | −0.724037 | − | 1.50348i | −0.858640 | − | 0.512579i | \(-0.828690\pi\) |
0.134602 | − | 0.990900i | \(-0.457024\pi\) | |||||||
\(3\) | −13.0489 | + | 0.977880i | −1.44988 | + | 0.108653i | −0.776253 | − | 0.630421i | \(-0.782882\pi\) |
−0.673624 | + | 0.739074i | \(0.735263\pi\) | |||||||
\(4\) | −17.8037 | + | 22.3251i | −1.11273 | + | 1.39532i | ||||
\(5\) | −7.18026 | − | 23.2778i | −0.287210 | − | 0.931113i | −0.978097 | − | 0.208150i | \(-0.933256\pi\) |
0.690887 | − | 0.722963i | \(-0.257220\pi\) | |||||||
\(6\) | 43.6724 | + | 75.6429i | 1.21312 | + | 2.10119i | ||||
\(7\) | 24.2992 | + | 14.0292i | 0.495902 | + | 0.286309i | 0.727020 | − | 0.686617i | \(-0.240905\pi\) |
−0.231117 | + | 0.972926i | \(0.574238\pi\) | |||||||
\(8\) | 81.7020 | + | 18.6479i | 1.27659 | + | 0.291374i | ||||
\(9\) | 89.2222 | − | 13.4481i | 1.10151 | − | 0.166026i | ||||
\(10\) | −119.196 | + | 110.598i | −1.19196 | + | 1.10598i | ||||
\(11\) | −73.5249 | − | 92.1973i | −0.607644 | − | 0.761961i | 0.378904 | − | 0.925436i | \(-0.376301\pi\) |
−0.986547 | + | 0.163475i | \(0.947730\pi\) | |||||||
\(12\) | 210.487 | − | 308.728i | 1.46172 | − | 2.14394i | ||||
\(13\) | 199.563 | + | 185.167i | 1.18085 | + | 1.09566i | 0.993554 | + | 0.113360i | \(0.0361614\pi\) |
0.187292 | + | 0.982304i | \(0.440029\pi\) | |||||||
\(14\) | 13.9960 | − | 186.764i | 0.0714083 | − | 0.952878i | ||||
\(15\) | 116.457 | + | 296.728i | 0.517588 | + | 1.31879i | ||||
\(16\) | −22.8090 | − | 99.9330i | −0.0890978 | − | 0.390363i | ||||
\(17\) | −289.571 | − | 89.3208i | −1.00198 | − | 0.309069i | −0.249990 | − | 0.968248i | \(-0.580427\pi\) |
−0.751985 | + | 0.659180i | \(0.770904\pi\) | |||||||
\(18\) | −339.276 | − | 497.627i | −1.04715 | − | 1.53589i | ||||
\(19\) | −46.1771 | + | 306.365i | −0.127914 | + | 0.848657i | 0.829201 | + | 0.558950i | \(0.188796\pi\) |
−0.957116 | + | 0.289707i | \(0.906442\pi\) | |||||||
\(20\) | 647.515 | + | 254.131i | 1.61879 | + | 0.635327i | ||||
\(21\) | −330.797 | − | 159.303i | −0.750106 | − | 0.361232i | ||||
\(22\) | −341.528 | + | 709.190i | −0.705636 | + | 1.46527i | ||||
\(23\) | −373.893 | + | 952.664i | −0.706792 | + | 1.80088i | −0.117309 | + | 0.993095i | \(0.537427\pi\) |
−0.589482 | + | 0.807781i | \(0.700668\pi\) | |||||||
\(24\) | −1084.36 | − | 163.440i | −1.88256 | − | 0.283751i | ||||
\(25\) | 26.0985 | − | 17.7937i | 0.0417577 | − | 0.0284699i | ||||
\(26\) | 535.617 | − | 1736.43i | 0.792332 | − | 2.56868i | ||||
\(27\) | −117.750 | + | 26.8757i | −0.161523 | + | 0.0368666i | ||||
\(28\) | −745.818 | + | 292.712i | −0.951298 | + | 0.373357i | ||||
\(29\) | 191.987 | + | 14.3874i | 0.228284 | + | 0.0171075i | 0.188381 | − | 0.982096i | \(-0.439676\pi\) |
0.0399032 | + | 0.999204i | \(0.487295\pi\) | |||||||
\(30\) | 1447.22 | − | 1559.73i | 1.60802 | − | 1.73304i | ||||
\(31\) | −1407.99 | − | 959.952i | −1.46513 | − | 0.998909i | −0.993093 | − | 0.117331i | \(-0.962566\pi\) |
−0.472038 | − | 0.881578i | \(-0.656481\pi\) | |||||||
\(32\) | 513.388 | − | 409.413i | 0.501356 | − | 0.399818i | ||||
\(33\) | 1049.58 | + | 1131.17i | 0.963798 | + | 1.03873i | ||||
\(34\) | 301.473 | + | 2000.14i | 0.260790 | + | 1.73023i | ||||
\(35\) | 152.094 | − | 666.366i | 0.124158 | − | 0.543972i | ||||
\(36\) | −1288.25 | + | 2231.32i | −0.994022 | + | 1.72170i | ||||
\(37\) | −15.4813 | + | 8.93814i | −0.0113085 | + | 0.00652896i | −0.505644 | − | 0.862742i | \(-0.668745\pi\) |
0.494335 | + | 0.869271i | \(0.335412\pi\) | |||||||
\(38\) | 1976.19 | − | 609.574i | 1.36855 | − | 0.422143i | ||||
\(39\) | −2785.15 | − | 2221.08i | −1.83113 | − | 1.46028i | ||||
\(40\) | −152.558 | − | 2035.74i | −0.0953485 | − | 1.27234i | ||||
\(41\) | 715.602 | − | 344.616i | 0.425700 | − | 0.205006i | −0.208752 | − | 0.977969i | \(-0.566940\pi\) |
0.634452 | + | 0.772962i | \(0.281226\pi\) | |||||||
\(42\) | 2450.75i | 1.38931i | ||||||||
\(43\) | 478.300 | + | 1786.07i | 0.258680 | + | 0.965963i | ||||
\(44\) | 3367.33 | 1.73932 | ||||||||
\(45\) | −953.680 | − | 1980.34i | −0.470953 | − | 0.977944i | ||||
\(46\) | 6812.09 | − | 510.496i | 3.21932 | − | 0.241255i | ||||
\(47\) | −1433.03 | + | 1796.97i | −0.648725 | + | 0.813476i | −0.992064 | − | 0.125736i | \(-0.959871\pi\) |
0.343338 | + | 0.939212i | \(0.388442\pi\) | |||||||
\(48\) | 395.355 | + | 1281.71i | 0.171595 | + | 0.556298i | ||||
\(49\) | −806.865 | − | 1397.53i | −0.336054 | − | 0.582062i | ||||
\(50\) | −182.595 | − | 105.421i | −0.0730380 | − | 0.0421685i | ||||
\(51\) | 3865.93 | + | 882.373i | 1.48632 | + | 0.339244i | ||||
\(52\) | −7686.83 | + | 1158.60i | −2.84276 | + | 0.428478i | ||||
\(53\) | −2239.73 | + | 2078.16i | −0.797340 | + | 0.739824i | −0.969459 | − | 0.245253i | \(-0.921129\pi\) |
0.172119 | + | 0.985076i | \(0.444939\pi\) | |||||||
\(54\) | 502.651 | + | 630.305i | 0.172377 | + | 0.216154i | ||||
\(55\) | −1618.22 | + | 2373.50i | −0.534950 | + | 0.784628i | ||||
\(56\) | 1723.68 | + | 1599.34i | 0.549642 | + | 0.509994i | ||||
\(57\) | 302.972 | − | 4042.88i | 0.0932509 | − | 1.24435i | ||||
\(58\) | −469.499 | − | 1196.26i | −0.139566 | − | 0.355607i | ||||
\(59\) | 814.720 | + | 3569.52i | 0.234048 | + | 1.02543i | 0.946245 | + | 0.323451i | \(0.104843\pi\) |
−0.712197 | + | 0.701979i | \(0.752300\pi\) | |||||||
\(60\) | −8697.86 | − | 2682.93i | −2.41607 | − | 0.745260i | ||||
\(61\) | 1075.42 | + | 1577.36i | 0.289015 | + | 0.423906i | 0.943097 | − | 0.332516i | \(-0.107898\pi\) |
−0.654083 | + | 0.756423i | \(0.726945\pi\) | |||||||
\(62\) | −1695.32 | + | 11247.7i | −0.441030 | + | 2.92604i | ||||
\(63\) | 2356.69 | + | 924.934i | 0.593775 | + | 0.233040i | ||||
\(64\) | −5426.66 | − | 2613.34i | −1.32487 | − | 0.638023i | ||||
\(65\) | 2877.38 | − | 5974.94i | 0.681036 | − | 1.41419i | ||||
\(66\) | 3763.06 | − | 9588.12i | 0.863879 | − | 2.20113i | ||||
\(67\) | −2031.49 | − | 306.198i | −0.452549 | − | 0.0682108i | −0.0811869 | − | 0.996699i | \(-0.525871\pi\) |
−0.371362 | + | 0.928488i | \(0.621109\pi\) | |||||||
\(68\) | 7149.52 | − | 4874.46i | 1.54618 | − | 1.05417i | ||||
\(69\) | 3947.30 | − | 12796.8i | 0.829091 | − | 2.68785i | ||||
\(70\) | −4447.95 | + | 1015.22i | −0.907746 | + | 0.207187i | ||||
\(71\) | 1858.54 | − | 729.425i | 0.368685 | − | 0.144698i | −0.173763 | − | 0.984788i | \(-0.555593\pi\) |
0.542448 | + | 0.840089i | \(0.317497\pi\) | |||||||
\(72\) | 7540.41 | + | 565.075i | 1.45455 | + | 0.109004i | ||||
\(73\) | 441.004 | − | 475.289i | 0.0827555 | − | 0.0891892i | −0.690316 | − | 0.723508i | \(-0.742529\pi\) |
0.773072 | + | 0.634318i | \(0.218719\pi\) | |||||||
\(74\) | 98.5895 | + | 67.2172i | 0.0180039 | + | 0.0122749i | ||||
\(75\) | −323.157 | + | 257.709i | −0.0574501 | + | 0.0458150i | ||||
\(76\) | −6017.51 | − | 6485.34i | −1.04181 | − | 1.12281i | ||||
\(77\) | −493.147 | − | 3271.81i | −0.0831753 | − | 0.551832i | ||||
\(78\) | −5291.19 | + | 23182.2i | −0.869690 | + | 3.81036i | ||||
\(79\) | −800.654 | + | 1386.77i | −0.128289 | + | 0.222204i | −0.923014 | − | 0.384767i | \(-0.874282\pi\) |
0.794725 | + | 0.606970i | \(0.207615\pi\) | |||||||
\(80\) | −2162.45 | + | 1248.49i | −0.337882 | + | 0.195076i | ||||
\(81\) | −5473.69 | + | 1688.41i | −0.834277 | + | 0.257340i | ||||
\(82\) | −4144.98 | − | 3305.51i | −0.616445 | − | 0.491599i | ||||
\(83\) | 951.695 | + | 12699.5i | 0.138147 | + | 1.84344i | 0.449657 | + | 0.893201i | \(0.351546\pi\) |
−0.311510 | + | 0.950243i | \(0.600835\pi\) | |||||||
\(84\) | 9445.86 | − | 4548.89i | 1.33870 | − | 0.644684i | ||||
\(85\) | 7381.93i | 1.02172i | ||||||||
\(86\) | 9356.02 | − | 8049.17i | 1.26501 | − | 1.08831i | ||||
\(87\) | −2519.29 | −0.332843 | ||||||||
\(88\) | −4287.84 | − | 8903.79i | −0.553698 | − | 1.14977i | ||||
\(89\) | −10633.4 | + | 796.861i | −1.34243 | + | 0.100601i | −0.726481 | − | 0.687187i | \(-0.758845\pi\) |
−0.615947 | + | 0.787788i | \(0.711226\pi\) | |||||||
\(90\) | −9147.58 | + | 11470.7i | −1.12933 | + | 1.41614i | ||||
\(91\) | 2251.48 | + | 7299.12i | 0.271885 | + | 0.881430i | ||||
\(92\) | −14611.6 | − | 25308.1i | −1.72633 | − | 2.99009i | ||||
\(93\) | 19311.4 | + | 11149.5i | 2.23279 | + | 1.28910i | ||||
\(94\) | 14957.1 | + | 3413.86i | 1.69275 | + | 0.386358i | ||||
\(95\) | 7463.08 | − | 1124.88i | 0.826934 | − | 0.124640i | ||||
\(96\) | −6298.79 | + | 5844.43i | −0.683463 | + | 0.634161i | ||||
\(97\) | −4032.86 | − | 5057.04i | −0.428617 | − | 0.537469i | 0.519887 | − | 0.854235i | \(-0.325974\pi\) |
−0.948503 | + | 0.316767i | \(0.897403\pi\) | |||||||
\(98\) | −6067.84 | + | 8899.88i | −0.631803 | + | 0.926685i | ||||
\(99\) | −7799.93 | − | 7237.27i | −0.795830 | − | 0.738422i | ||||
\(100\) | −67.4041 | + | 899.445i | −0.00674041 | + | 0.0899445i | ||||
\(101\) | −903.011 | − | 2300.84i | −0.0885218 | − | 0.225550i | 0.879756 | − | 0.475425i | \(-0.157706\pi\) |
−0.968278 | + | 0.249875i | \(0.919610\pi\) | |||||||
\(102\) | −5889.79 | − | 25804.8i | −0.566108 | − | 2.48028i | ||||
\(103\) | −12449.4 | − | 3840.13i | −1.17348 | − | 0.361969i | −0.354090 | − | 0.935211i | \(-0.615209\pi\) |
−0.819386 | + | 0.573242i | \(0.805685\pi\) | |||||||
\(104\) | 12851.7 | + | 18850.0i | 1.18821 | + | 1.74279i | ||||
\(105\) | −1333.03 | + | 8844.07i | −0.120910 | + | 0.802183i | ||||
\(106\) | 18984.5 | + | 7450.87i | 1.68961 | + | 0.663124i | ||||
\(107\) | 1728.21 | + | 832.261i | 0.150948 | + | 0.0726929i | 0.507833 | − | 0.861456i | \(-0.330447\pi\) |
−0.356884 | + | 0.934149i | \(0.616161\pi\) | |||||||
\(108\) | 1496.39 | − | 3107.28i | 0.128291 | − | 0.266399i | ||||
\(109\) | 1801.30 | − | 4589.63i | 0.151612 | − | 0.386300i | −0.834809 | − | 0.550540i | \(-0.814422\pi\) |
0.986420 | + | 0.164240i | \(0.0525171\pi\) | |||||||
\(110\) | 18960.6 | + | 2857.86i | 1.56700 | + | 0.236187i | ||||
\(111\) | 193.274 | − | 131.772i | 0.0156865 | − | 0.0106949i | ||||
\(112\) | 847.733 | − | 2748.28i | 0.0675808 | − | 0.219092i | ||||
\(113\) | 2232.94 | − | 509.653i | 0.174872 | − | 0.0399133i | −0.134188 | − | 0.990956i | \(-0.542843\pi\) |
0.309060 | + | 0.951043i | \(0.399986\pi\) | |||||||
\(114\) | −25191.0 | + | 9886.75i | −1.93837 | + | 0.760753i | ||||
\(115\) | 24860.6 | + | 1863.04i | 1.87982 | + | 0.140873i | ||||
\(116\) | −3739.28 | + | 4029.98i | −0.277889 | + | 0.299493i | ||||
\(117\) | 20295.6 | + | 13837.3i | 1.48262 | + | 1.01083i | ||||
\(118\) | 19107.3 | − | 15237.5i | 1.37225 | − | 1.09434i | ||||
\(119\) | −5783.25 | − | 6232.86i | −0.408393 | − | 0.440143i | ||||
\(120\) | 3981.42 | + | 26415.0i | 0.276487 | + | 1.83437i | ||||
\(121\) | 163.497 | − | 716.329i | 0.0111671 | − | 0.0489262i | ||||
\(122\) | 6371.50 | − | 11035.8i | 0.428077 | − | 0.741451i | ||||
\(123\) | −9000.82 | + | 5196.62i | −0.594938 | + | 0.343488i | ||||
\(124\) | 46498.4 | − | 14342.9i | 3.02409 | − | 0.932809i | ||||
\(125\) | −12505.0 | − | 9972.41i | −0.800321 | − | 0.638234i | ||||
\(126\) | −1262.86 | − | 16851.7i | −0.0795453 | − | 1.06146i | ||||
\(127\) | 11412.5 | − | 5495.99i | 0.707579 | − | 0.340752i | −0.0452431 | − | 0.998976i | \(-0.514406\pi\) |
0.752822 | + | 0.658224i | \(0.228692\pi\) | |||||||
\(128\) | 29697.7i | 1.81261i | ||||||||
\(129\) | −7987.84 | − | 22838.5i | −0.480010 | − | 1.37242i | ||||
\(130\) | −44266.1 | −2.61930 | ||||||||
\(131\) | −7128.47 | − | 14802.4i | −0.415388 | − | 0.862561i | −0.998732 | − | 0.0503367i | \(-0.983971\pi\) |
0.583345 | − | 0.812225i | \(-0.301744\pi\) | |||||||
\(132\) | −43939.9 | + | 3292.84i | −2.52180 | + | 0.188983i | ||||
\(133\) | −5420.11 | + | 6796.61i | −0.306412 | + | 0.384228i | ||||
\(134\) | 4042.06 | + | 13104.0i | 0.225109 | + | 0.729785i | ||||
\(135\) | 1471.09 | + | 2548.00i | 0.0807180 | + | 0.139808i | ||||
\(136\) | −21992.9 | − | 12697.6i | −1.18906 | − | 0.686505i | ||||
\(137\) | 13300.3 | + | 3035.71i | 0.708631 | + | 0.161740i | 0.561621 | − | 0.827395i | \(-0.310178\pi\) |
0.147010 | + | 0.989135i | \(0.453035\pi\) | |||||||
\(138\) | −88391.1 | + | 13322.8i | −4.64141 | + | 0.699580i | ||||
\(139\) | 6880.14 | − | 6383.84i | 0.356096 | − | 0.330409i | −0.481757 | − | 0.876305i | \(-0.660001\pi\) |
0.837853 | + | 0.545896i | \(0.183811\pi\) | |||||||
\(140\) | 12168.9 | + | 15259.3i | 0.620860 | + | 0.778534i | ||||
\(141\) | 16942.3 | − | 24849.8i | 0.852186 | − | 1.24993i | ||||
\(142\) | −9769.32 | − | 9064.60i | −0.484493 | − | 0.449544i | ||||
\(143\) | 2399.09 | − | 32013.6i | 0.117320 | − | 1.56553i | ||||
\(144\) | −3378.98 | − | 8609.50i | −0.162952 | − | 0.415196i | ||||
\(145\) | −1043.61 | − | 4572.35i | −0.0496366 | − | 0.217472i | ||||
\(146\) | −4135.56 | − | 1275.65i | −0.194012 | − | 0.0598448i | ||||
\(147\) | 11895.3 | + | 17447.2i | 0.550480 | + | 0.807406i | ||||
\(148\) | 76.0794 | − | 504.754i | 0.00347331 | − | 0.0230439i | ||||
\(149\) | 8261.31 | + | 3242.33i | 0.372114 | + | 0.146044i | 0.544026 | − | 0.839068i | \(-0.316899\pi\) |
−0.171912 | + | 0.985112i | \(0.554994\pi\) | |||||||
\(150\) | 2485.75 | + | 1197.08i | 0.110478 | + | 0.0532033i | ||||
\(151\) | −17040.7 | + | 35385.3i | −0.747365 | + | 1.55192i | 0.0841733 | + | 0.996451i | \(0.473175\pi\) |
−0.831538 | + | 0.555468i | \(0.812539\pi\) | |||||||
\(152\) | −9485.84 | + | 24169.5i | −0.410571 | + | 1.04612i | ||||
\(153\) | −27037.3 | − | 4075.22i | −1.15500 | − | 0.174088i | ||||
\(154\) | −18248.2 | + | 12441.4i | −0.769446 | + | 0.524600i | ||||
\(155\) | −12235.8 | + | 39667.6i | −0.509297 | + | 1.65110i | ||||
\(156\) | 99171.7 | − | 22635.3i | 4.07510 | − | 0.930116i | ||||
\(157\) | 2412.04 | − | 946.654i | 0.0978553 | − | 0.0384054i | −0.315908 | − | 0.948790i | \(-0.602309\pi\) |
0.413764 | + | 0.910384i | \(0.364214\pi\) | |||||||
\(158\) | 10658.8 | + | 798.763i | 0.426965 | + | 0.0319966i | ||||
\(159\) | 27193.8 | − | 29307.9i | 1.07566 | − | 1.15929i | ||||
\(160\) | −13216.5 | − | 9010.86i | −0.516270 | − | 0.351987i | ||||
\(161\) | −22450.4 | + | 17903.6i | −0.866108 | + | 0.690698i | ||||
\(162\) | 26006.6 | + | 28028.4i | 0.990954 | + | 1.06799i | ||||
\(163\) | −4057.83 | − | 26921.9i | −0.152728 | − | 1.01328i | −0.925540 | − | 0.378649i | \(-0.876389\pi\) |
0.772813 | − | 0.634634i | \(-0.218849\pi\) | |||||||
\(164\) | −5046.76 | + | 22111.3i | −0.187640 | + | 0.822104i | ||||
\(165\) | 18795.0 | − | 32554.0i | 0.690360 | − | 1.19574i | ||||
\(166\) | 73617.4 | − | 42503.0i | 2.67156 | − | 1.54242i | ||||
\(167\) | −31919.7 | + | 9845.91i | −1.14453 | + | 0.353039i | −0.808316 | − | 0.588748i | \(-0.799621\pi\) |
−0.336209 | + | 0.941788i | \(0.609145\pi\) | |||||||
\(168\) | −24056.1 | − | 19184.1i | −0.852327 | − | 0.679708i | ||||
\(169\) | 3404.05 | + | 45423.9i | 0.119185 | + | 1.59042i | ||||
\(170\) | 44394.3 | − | 21379.2i | 1.53613 | − | 0.739764i | ||||
\(171\) | 27955.6i | 0.956040i | ||||||||
\(172\) | −48389.6 | − | 21120.4i | −1.63567 | − | 0.713914i | ||||
\(173\) | 4146.76 | 0.138553 | 0.0692766 | − | 0.997597i | \(-0.477931\pi\) | ||||
0.0692766 | + | 0.997597i | \(0.477931\pi\) | |||||||
\(174\) | 7296.24 | + | 15150.8i | 0.240991 | + | 0.500423i | ||||
\(175\) | 883.804 | − | 66.2320i | 0.0288589 | − | 0.00216268i | ||||
\(176\) | −7536.52 | + | 9450.49i | −0.243302 | + | 0.305091i | ||||
\(177\) | −14121.8 | − | 45781.6i | −0.450757 | − | 1.46132i | ||||
\(178\) | 35588.1 | + | 61640.4i | 1.12322 | + | 1.94547i | ||||
\(179\) | −23419.7 | − | 13521.4i | −0.730930 | − | 0.422003i | 0.0878321 | − | 0.996135i | \(-0.472006\pi\) |
−0.818762 | + | 0.574132i | \(0.805339\pi\) | |||||||
\(180\) | 61190.2 | + | 13966.3i | 1.88859 | + | 0.431058i | ||||
\(181\) | −16190.1 | + | 2440.26i | −0.494187 | + | 0.0744868i | −0.391408 | − | 0.920217i | \(-0.628012\pi\) |
−0.102780 | + | 0.994704i | \(0.532774\pi\) | |||||||
\(182\) | 37375.7 | − | 34679.6i | 1.12836 | − | 1.04696i | ||||
\(183\) | −15575.5 | − | 19531.1i | −0.465094 | − | 0.583210i | ||||
\(184\) | −48313.0 | + | 70862.2i | −1.42701 | + | 2.09305i | ||||
\(185\) | 319.220 | + | 296.193i | 0.00932711 | + | 0.00865429i | ||||
\(186\) | 11123.1 | − | 148428.i | 0.321515 | − | 4.29032i | ||||
\(187\) | 13055.5 | + | 33265.0i | 0.373346 | + | 0.951270i | ||||
\(188\) | −14604.2 | − | 63985.3i | −0.413202 | − | 1.81036i | ||||
\(189\) | −3238.29 | − | 998.879i | −0.0906549 | − | 0.0279633i | ||||
\(190\) | −28379.1 | − | 41624.5i | −0.786125 | − | 1.15303i | ||||
\(191\) | 7815.91 | − | 51855.2i | 0.214246 | − | 1.42143i | −0.580388 | − | 0.814340i | \(-0.697099\pi\) |
0.794634 | − | 0.607089i | \(-0.207663\pi\) | |||||||
\(192\) | 73367.4 | + | 28794.6i | 1.99022 | + | 0.781104i | ||||
\(193\) | 55340.6 | + | 26650.6i | 1.48569 | + | 0.715472i | 0.988367 | − | 0.152091i | \(-0.0486006\pi\) |
0.497327 | + | 0.867563i | \(0.334315\pi\) | |||||||
\(194\) | −18732.9 | + | 38899.2i | −0.497738 | + | 1.03356i | ||||
\(195\) | −31703.8 | + | 80780.1i | −0.833763 | + | 2.12439i | ||||
\(196\) | 45565.2 | + | 6867.85i | 1.18610 | + | 0.178776i | ||||
\(197\) | −26309.6 | + | 17937.6i | −0.677925 | + | 0.462201i | −0.852696 | − | 0.522408i | \(-0.825034\pi\) |
0.174771 | + | 0.984609i | \(0.444082\pi\) | |||||||
\(198\) | −20934.6 | + | 67868.3i | −0.533992 | + | 1.73116i | ||||
\(199\) | −70825.7 | + | 16165.5i | −1.78848 | + | 0.408209i | −0.982880 | − | 0.184248i | \(-0.941015\pi\) |
−0.805602 | + | 0.592457i | \(0.798158\pi\) | |||||||
\(200\) | 2464.12 | − | 967.095i | 0.0616029 | − | 0.0241774i | ||||
\(201\) | 26808.2 | + | 2008.99i | 0.663552 | + | 0.0497263i | ||||
\(202\) | −11221.8 | + | 12094.2i | −0.275017 | + | 0.296397i | ||||
\(203\) | 4463.29 | + | 3043.02i | 0.108309 | + | 0.0738436i | ||||
\(204\) | −88526.8 | + | 70597.7i | −2.12723 | + | 1.69641i | ||||
\(205\) | −13160.1 | − | 14183.2i | −0.313149 | − | 0.337495i | ||||
\(206\) | 12961.1 | + | 85991.3i | 0.305427 | + | 2.02638i | ||||
\(207\) | −20548.0 | + | 90026.9i | −0.479545 | + | 2.10103i | ||||
\(208\) | 13952.5 | − | 24166.4i | 0.322496 | − | 0.558580i | ||||
\(209\) | 31641.2 | − | 18268.1i | 0.724370 | − | 0.418215i | ||||
\(210\) | 57048.1 | − | 17597.0i | 1.29361 | − | 0.399025i | ||||
\(211\) | 13161.9 | + | 10496.3i | 0.295634 | + | 0.235761i | 0.760062 | − | 0.649851i | \(-0.225169\pi\) |
−0.464428 | + | 0.885611i | \(0.653740\pi\) | |||||||
\(212\) | −6519.83 | − | 87001.1i | −0.145066 | − | 1.93577i | ||||
\(213\) | −23538.7 | + | 11335.6i | −0.518827 | + | 0.249854i | ||||
\(214\) | − | 12803.7i | − | 0.279580i | ||||||
\(215\) | 38141.4 | − | 23958.2i | 0.825125 | − | 0.518295i | ||||
\(216\) | −10121.6 | −0.216941 | ||||||||
\(217\) | −20745.8 | − | 43079.0i | −0.440565 | − | 0.914842i | ||||
\(218\) | −32818.5 | + | 2459.41i | −0.690567 | + | 0.0517508i | ||||
\(219\) | −5289.84 | + | 6633.25i | −0.110295 | + | 0.138305i | ||||
\(220\) | −24178.3 | − | 78384.0i | −0.499551 | − | 1.61950i | ||||
\(221\) | −41248.3 | − | 71444.2i | −0.844543 | − | 1.46279i | ||||
\(222\) | −1352.21 | − | 780.701i | −0.0274372 | − | 0.0158409i | ||||
\(223\) | −10325.8 | − | 2356.79i | −0.207641 | − | 0.0473927i | 0.117435 | − | 0.993081i | \(-0.462533\pi\) |
−0.325076 | + | 0.945688i | \(0.605390\pi\) | |||||||
\(224\) | 18218.7 | − | 2746.02i | 0.363095 | − | 0.0547278i | ||||
\(225\) | 2089.28 | − | 1938.57i | 0.0412697 | − | 0.0382927i | ||||
\(226\) | −9531.93 | − | 11952.7i | −0.186623 | − | 0.234017i | ||||
\(227\) | −22416.0 | + | 32878.2i | −0.435017 | + | 0.638052i | −0.979672 | − | 0.200608i | \(-0.935708\pi\) |
0.544655 | + | 0.838660i | \(0.316661\pi\) | |||||||
\(228\) | 84863.8 | + | 78742.1i | 1.63250 | + | 1.51474i | ||||
\(229\) | −2046.16 | + | 27304.1i | −0.0390184 | + | 0.520664i | 0.943114 | + | 0.332470i | \(0.107882\pi\) |
−0.982132 | + | 0.188193i | \(0.939737\pi\) | |||||||
\(230\) | −60795.8 | − | 154905.i | −1.14926 | − | 2.92826i | ||||
\(231\) | 9634.46 | + | 42211.3i | 0.180552 | + | 0.791052i | ||||
\(232\) | 15417.4 | + | 4755.65i | 0.286442 | + | 0.0883555i | ||||
\(233\) | 5094.52 | + | 7472.28i | 0.0938407 | + | 0.137639i | 0.870288 | − | 0.492543i | \(-0.163933\pi\) |
−0.776447 | + | 0.630182i | \(0.782980\pi\) | |||||||
\(234\) | 24437.3 | − | 162131.i | 0.446294 | − | 2.96097i | ||||
\(235\) | 52119.1 | + | 20455.2i | 0.943758 | + | 0.370398i | ||||
\(236\) | −94194.9 | − | 45361.9i | −1.69123 | − | 0.814455i | ||||
\(237\) | 9091.55 | − | 18878.8i | 0.161861 | − | 0.336107i | ||||
\(238\) | −20734.8 | + | 52831.3i | −0.366054 | + | 0.932690i | ||||
\(239\) | 62490.5 | + | 9418.93i | 1.09400 | + | 0.164894i | 0.671163 | − | 0.741310i | \(-0.265795\pi\) |
0.422840 | + | 0.906204i | \(0.361033\pi\) | |||||||
\(240\) | 26996.7 | − | 18406.0i | 0.468692 | − | 0.319549i | ||||
\(241\) | −21516.7 | + | 69755.4i | −0.370460 | + | 1.20100i | 0.558085 | + | 0.829784i | \(0.311536\pi\) |
−0.928545 | + | 0.371219i | \(0.878940\pi\) | |||||||
\(242\) | −4781.45 | + | 1091.34i | −0.0816449 | + | 0.0186349i | ||||
\(243\) | 78881.4 | − | 30958.7i | 1.33586 | − | 0.524288i | ||||
\(244\) | −54361.1 | − | 4073.80i | −0.913080 | − | 0.0684259i | ||||
\(245\) | −26738.0 | + | 28816.7i | −0.445448 | + | 0.480078i | ||||
\(246\) | 57319.8 | + | 39080.0i | 0.947184 | + | 0.645779i | ||||
\(247\) | −65944.1 | + | 52588.6i | −1.08089 | + | 0.861982i | ||||
\(248\) | −97134.5 | − | 104686.i | −1.57932 | − | 1.70210i | ||||
\(249\) | −24837.1 | − | 164784.i | −0.400593 | − | 2.65776i | ||||
\(250\) | −23756.9 | + | 104086.i | −0.380110 | + | 1.66537i | ||||
\(251\) | −13189.2 | + | 22844.4i | −0.209350 | + | 0.362604i | −0.951510 | − | 0.307618i | \(-0.900468\pi\) |
0.742160 | + | 0.670223i | \(0.233801\pi\) | |||||||
\(252\) | −62607.1 | + | 36146.2i | −0.985876 | + | 0.569196i | ||||
\(253\) | 115323. | − | 35572.6i | 1.80168 | − | 0.555743i | ||||
\(254\) | −66104.9 | − | 52716.9i | −1.02463 | − | 0.817113i | ||||
\(255\) | −7218.64 | − | 96326.0i | −0.111013 | − | 1.48137i | ||||
\(256\) | 91773.1 | − | 44195.6i | 1.40035 | − | 0.674371i | ||||
\(257\) | 32495.5i | 0.491990i | 0.969271 | + | 0.245995i | \(0.0791147\pi\) | ||||
−0.969271 | + | 0.245995i | \(0.920885\pi\) | |||||||
\(258\) | −114215. | + | 114182.i | −1.71586 | + | 1.71537i | ||||
\(259\) | −501.578 | −0.00747721 | ||||||||
\(260\) | 82163.2 | + | 170614.i | 1.21543 | + | 2.52387i | ||||
\(261\) | 17323.0 | − | 1298.18i | 0.254297 | − | 0.0190570i | ||||
\(262\) | −68375.4 | + | 85740.0i | −0.996087 | + | 1.24905i | ||||
\(263\) | −8967.75 | − | 29072.7i | −0.129650 | − | 0.420314i | 0.867352 | − | 0.497696i | \(-0.165820\pi\) |
−0.997002 | + | 0.0773812i | \(0.975344\pi\) | |||||||
\(264\) | 64658.4 | + | 111992.i | 0.927720 | + | 1.60686i | ||||
\(265\) | 64457.0 | + | 37214.2i | 0.917863 | + | 0.529929i | ||||
\(266\) | 56571.7 | + | 12912.1i | 0.799532 | + | 0.182488i | ||||
\(267\) | 137975. | − | 20796.3i | 1.93543 | − | 0.291718i | ||||
\(268\) | 43003.9 | − | 39901.8i | 0.598741 | − | 0.555550i | ||||
\(269\) | 3753.37 | + | 4706.57i | 0.0518700 | + | 0.0650430i | 0.807090 | − | 0.590429i | \(-0.201041\pi\) |
−0.755220 | + | 0.655472i | \(0.772470\pi\) | |||||||
\(270\) | 11063.0 | − | 16226.4i | 0.151755 | − | 0.222584i | ||||
\(271\) | −245.886 | − | 228.149i | −0.00334807 | − | 0.00310656i | 0.678497 | − | 0.734603i | \(-0.262632\pi\) |
−0.681845 | + | 0.731497i | \(0.738822\pi\) | |||||||
\(272\) | −2321.26 | + | 30975.0i | −0.0313751 | + | 0.418672i | ||||
\(273\) | −36517.0 | − | 93043.8i | −0.489970 | − | 1.24842i | ||||
\(274\) | −20263.2 | − | 88778.7i | −0.269902 | − | 1.18252i | ||||
\(275\) | −3559.42 | − | 1097.94i | −0.0470667 | − | 0.0145182i | ||||
\(276\) | 215414. | + | 315955.i | 2.82785 | + | 4.14769i | ||||
\(277\) | 7395.14 | − | 49063.5i | 0.0963800 | − | 0.639439i | −0.887527 | − | 0.460756i | \(-0.847578\pi\) |
0.983907 | − | 0.178683i | \(-0.0571837\pi\) | |||||||
\(278\) | −58317.8 | − | 22888.0i | −0.754591 | − | 0.296155i | ||||
\(279\) | −138533. | − | 66714.2i | −1.77970 | − | 0.857057i | ||||
\(280\) | 24852.7 | − | 51607.2i | 0.316999 | − | 0.658255i | ||||
\(281\) | 27235.6 | − | 69395.2i | 0.344925 | − | 0.878854i | −0.648165 | − | 0.761500i | \(-0.724463\pi\) |
0.993090 | − | 0.117354i | \(-0.0374413\pi\) | |||||||
\(282\) | −198512. | − | 29920.9i | −2.49625 | − | 0.376250i | ||||
\(283\) | 39604.7 | − | 27002.1i | 0.494509 | − | 0.337151i | −0.290251 | − | 0.956951i | \(-0.593739\pi\) |
0.784760 | + | 0.619800i | \(0.212786\pi\) | |||||||
\(284\) | −16804.4 | + | 54478.6i | −0.208347 | + | 0.675444i | ||||
\(285\) | −96284.9 | + | 21976.4i | −1.18541 | + | 0.270562i | ||||
\(286\) | −199475. | + | 78288.2i | −2.43869 | + | 0.957115i | ||||
\(287\) | 22223.2 | + | 1665.40i | 0.269801 | + | 0.0202188i | ||||
\(288\) | 40299.8 | − | 43432.8i | 0.485867 | − | 0.523641i | ||||
\(289\) | 6864.88 | + | 4680.40i | 0.0821935 | + | 0.0560386i | ||||
\(290\) | −24475.3 | + | 19518.4i | −0.291026 | + | 0.232085i | ||||
\(291\) | 57569.5 | + | 62045.2i | 0.679840 | + | 0.732693i | ||||
\(292\) | 2759.39 | + | 18307.4i | 0.0323629 | + | 0.214714i | ||||
\(293\) | −18921.0 | + | 82898.3i | −0.220399 | + | 0.965629i | 0.736780 | + | 0.676132i | \(0.236345\pi\) |
−0.957179 | + | 0.289497i | \(0.906512\pi\) | |||||||
\(294\) | 70475.6 | − | 122067.i | 0.815350 | − | 1.41223i | ||||
\(295\) | 77240.8 | − | 44595.0i | 0.887570 | − | 0.512439i | ||||
\(296\) | −1431.53 | + | 441.569i | −0.0163387 | + | 0.00503982i | ||||
\(297\) | 11135.5 | + | 8880.23i | 0.126239 | + | 0.100673i | ||||
\(298\) | −4426.92 | − | 59073.1i | −0.0498504 | − | 0.665208i | ||||
\(299\) | −251017. | + | 120884.i | −2.80777 | + | 1.35215i | ||||
\(300\) | − | 11802.7i | − | 0.131141i | ||||||
\(301\) | −13434.7 | + | 50110.1i | −0.148284 | + | 0.553086i | ||||
\(302\) | 262157. | 2.87440 | ||||||||
\(303\) | 14033.2 | + | 29140.3i | 0.152853 | + | 0.317402i | ||||
\(304\) | 31669.2 | − | 2373.28i | 0.342681 | − | 0.0256804i | ||||
\(305\) | 28995.6 | − | 36359.3i | 0.311697 | − | 0.390855i | ||||
\(306\) | 53796.1 | + | 174403.i | 0.574524 | + | 1.86256i | ||||
\(307\) | −70025.8 | − | 121288.i | −0.742987 | − | 1.28689i | −0.951129 | − | 0.308793i | \(-0.900075\pi\) |
0.208142 | − | 0.978099i | \(-0.433258\pi\) | |||||||
\(308\) | 81823.4 | + | 47240.8i | 0.862534 | + | 0.497984i | ||||
\(309\) | 166206. | + | 37935.5i | 1.74073 | + | 0.397309i | ||||
\(310\) | 273995. | − | 41298.1i | 2.85114 | − | 0.429741i | ||||
\(311\) | 60022.7 | − | 55692.9i | 0.620576 | − | 0.575810i | −0.305947 | − | 0.952048i | \(-0.598973\pi\) |
0.926523 | + | 0.376238i | \(0.122783\pi\) | |||||||
\(312\) | −186133. | − | 233404.i | −1.91212 | − | 2.39772i | ||||
\(313\) | 65929.8 | − | 96701.3i | 0.672966 | − | 0.987060i | −0.326162 | − | 0.945314i | \(-0.605756\pi\) |
0.999128 | − | 0.0417459i | \(-0.0132920\pi\) | |||||||
\(314\) | −12678.7 | − | 11764.1i | −0.128593 | − | 0.119317i | ||||
\(315\) | 4608.78 | − | 61500.0i | 0.0464478 | − | 0.619803i | ||||
\(316\) | −16705.3 | − | 42564.3i | −0.167294 | − | 0.426257i | ||||
\(317\) | 38948.9 | + | 170646.i | 0.387593 | + | 1.69816i | 0.672910 | + | 0.739724i | \(0.265044\pi\) |
−0.285317 | + | 0.958433i | \(0.592099\pi\) | |||||||
\(318\) | −255013. | − | 78661.0i | −2.52178 | − | 0.777867i | ||||
\(319\) | −12789.4 | − | 18758.5i | −0.125680 | − | 0.184339i | ||||
\(320\) | −21868.1 | + | 145085.i | −0.213555 | + | 1.41685i | ||||
\(321\) | −23365.1 | − | 9170.11i | −0.226755 | − | 0.0889948i | ||||
\(322\) | 172690. | + | 83163.2i | 1.66554 | + | 0.802084i | ||||
\(323\) | 40736.4 | − | 84589.9i | 0.390460 | − | 0.810800i | ||||
\(324\) | 59757.9 | − | 152261.i | 0.569253 | − | 1.45043i | ||||
\(325\) | 8503.11 | + | 1281.64i | 0.0805028 | + | 0.0121338i | ||||
\(326\) | −150154. | + | 102373.i | −1.41287 | + | 0.963278i | ||||
\(327\) | −19016.8 | + | 61651.1i | −0.177846 | + | 0.576561i | ||||
\(328\) | 64892.4 | − | 14811.3i | 0.603179 | − | 0.137672i | ||||
\(329\) | −60031.6 | + | 23560.7i | −0.554610 | + | 0.217668i | ||||
\(330\) | −250210. | − | 18750.7i | −2.29761 | − | 0.172182i | ||||
\(331\) | −30083.5 | + | 32422.3i | −0.274582 | + | 0.295929i | −0.855255 | − | 0.518208i | \(-0.826599\pi\) |
0.580672 | + | 0.814137i | \(0.302790\pi\) | |||||||
\(332\) | −300461. | − | 204851.i | −2.72591 | − | 1.85850i | ||||
\(333\) | −1261.08 | + | 1005.67i | −0.0113724 | + | 0.00906920i | ||||
\(334\) | 151657. | + | 163447.i | 1.35947 | + | 1.46516i | ||||
\(335\) | 7459.01 | + | 49487.3i | 0.0664648 | + | 0.440965i | ||||
\(336\) | −8374.49 | + | 36691.1i | −0.0741788 | + | 0.324999i | ||||
\(337\) | 36856.5 | − | 63837.3i | 0.324529 | − | 0.562101i | −0.656888 | − | 0.753988i | \(-0.728127\pi\) |
0.981417 | + | 0.191887i | \(0.0614608\pi\) | |||||||
\(338\) | 263317. | − | 152026.i | 2.30486 | − | 1.33071i | ||||
\(339\) | −28639.0 | + | 8833.96i | −0.249206 | + | 0.0768698i | ||||
\(340\) | −164802. | − | 131425.i | −1.42563 | − | 1.13690i | ||||
\(341\) | 15017.4 | + | 200393.i | 0.129147 | + | 1.72335i | ||||
\(342\) | 168122. | − | 80963.5i | 1.43739 | − | 0.692209i | ||||
\(343\) | − | 112647.i | − | 0.957480i | ||||||
\(344\) | 5771.58 | + | 154844.i | 0.0487728 | + | 1.30851i | ||||
\(345\) | −326225. | −2.74081 | ||||||||
\(346\) | −12009.6 | − | 24938.3i | −0.100318 | − | 0.208312i | ||||
\(347\) | 197519. | − | 14802.0i | 1.64040 | − | 0.122931i | 0.777697 | − | 0.628640i | \(-0.216388\pi\) |
0.862704 | + | 0.505709i | \(0.168769\pi\) | |||||||
\(348\) | 44852.6 | − | 56243.4i | 0.370364 | − | 0.464422i | ||||
\(349\) | −12298.1 | − | 39869.3i | −0.100968 | − | 0.327332i | 0.890968 | − | 0.454065i | \(-0.150027\pi\) |
−0.991937 | + | 0.126734i | \(0.959551\pi\) | |||||||
\(350\) | −2957.94 | − | 5123.31i | −0.0241465 | − | 0.0418229i | ||||
\(351\) | −28475.1 | − | 16440.1i | −0.231127 | − | 0.133441i | ||||
\(352\) | −75493.6 | − | 17230.9i | −0.609291 | − | 0.139067i | ||||
\(353\) | −95097.2 | + | 14333.6i | −0.763165 | + | 0.115029i | −0.519080 | − | 0.854725i | \(-0.673725\pi\) |
−0.244084 | + | 0.969754i | \(0.578487\pi\) | |||||||
\(354\) | −234428. | + | 217517.i | −1.87070 | + | 1.73575i | ||||
\(355\) | −30324.2 | − | 38025.4i | −0.240621 | − | 0.301729i | ||||
\(356\) | 171523. | − | 251578.i | 1.35339 | − | 1.98506i | ||||
\(357\) | 81560.1 | + | 75676.7i | 0.639943 | + | 0.593780i | ||||
\(358\) | −13489.5 | + | 180004.i | −0.105252 | + | 1.40448i | ||||
\(359\) | 29281.2 | + | 74607.3i | 0.227196 | + | 0.578885i | 0.998329 | − | 0.0577889i | \(-0.0184050\pi\) |
−0.771133 | + | 0.636674i | \(0.780310\pi\) | |||||||
\(360\) | −40988.3 | − | 179582.i | −0.316268 | − | 1.38566i | ||||
\(361\) | 32803.9 | + | 10118.7i | 0.251716 | + | 0.0776441i | ||||
\(362\) | 61564.4 | + | 90298.4i | 0.469800 | + | 0.689069i | ||||
\(363\) | −1432.98 | + | 9507.18i | −0.0108749 | + | 0.0721503i | ||||
\(364\) | −203038. | − | 79686.6i | −1.53241 | − | 0.601427i | ||||
\(365\) | −14230.2 | − | 6852.91i | −0.106813 | − | 0.0514386i | ||||
\(366\) | −72349.4 | + | 150235.i | −0.540098 | + | 1.12153i | ||||
\(367\) | 5933.87 | − | 15119.3i | 0.0440561 | − | 0.112253i | −0.907152 | − | 0.420803i | \(-0.861748\pi\) |
0.951208 | + | 0.308550i | \(0.0998436\pi\) | |||||||
\(368\) | 103731. | + | 15634.9i | 0.765969 | + | 0.115451i | ||||
\(369\) | 59213.1 | − | 40370.8i | 0.434876 | − | 0.296493i | ||||
\(370\) | 856.771 | − | 2777.58i | 0.00625837 | − | 0.0202891i | ||||
\(371\) | −83578.5 | + | 19076.3i | −0.607221 | + | 0.138594i | ||||
\(372\) | −592728. | + | 232628.i | −4.28321 | + | 1.68104i | ||||
\(373\) | 208645. | + | 15635.8i | 1.49965 | + | 0.112383i | 0.799091 | − | 0.601210i | \(-0.205314\pi\) |
0.700560 | + | 0.713593i | \(0.252933\pi\) | |||||||
\(374\) | 162242. | − | 174855.i | 1.15990 | − | 1.25007i | ||||
\(375\) | 172928. | + | 117901.i | 1.22971 | + | 0.838404i | ||||
\(376\) | −150592. | + | 120093.i | −1.06518 | + | 0.849456i | ||||
\(377\) | 35649.4 | + | 38420.9i | 0.250824 | + | 0.270324i | ||||
\(378\) | 3371.39 | + | 22367.7i | 0.0235953 | + | 0.156544i | ||||
\(379\) | −7382.01 | + | 32342.7i | −0.0513921 | + | 0.225163i | −0.994102 | − | 0.108451i | \(-0.965411\pi\) |
0.942710 | + | 0.333614i | \(0.108268\pi\) | |||||||
\(380\) | −107757. | + | 186641.i | −0.746241 | + | 1.29253i | ||||
\(381\) | −143547. | + | 82876.7i | −0.988879 | + | 0.570930i | ||||
\(382\) | −334489. | + | 103176.i | −2.29221 | + | 0.707054i | ||||
\(383\) | −225653. | − | 179953.i | −1.53831 | − | 1.22676i | −0.880972 | − | 0.473168i | \(-0.843110\pi\) |
−0.657339 | − | 0.753595i | \(-0.728318\pi\) | |||||||
\(384\) | −29040.8 | − | 387523.i | −0.196946 | − | 2.62806i | ||||
\(385\) | −72619.8 | + | 34971.8i | −0.489929 | + | 0.235938i | ||||
\(386\) | − | 409998.i | − | 2.75174i | ||||||
\(387\) | 66694.1 | + | 152924.i | 0.445313 | + | 1.02107i | ||||
\(388\) | 184699. | 1.22687 | ||||||||
\(389\) | −37942.8 | − | 78789.1i | −0.250744 | − | 0.520675i | 0.737165 | − | 0.675713i | \(-0.236164\pi\) |
−0.987908 | + | 0.155038i | \(0.950450\pi\) | |||||||
\(390\) | 577624. | − | 43286.9i | 3.79766 | − | 0.284595i | ||||
\(391\) | 193361. | − | 242467.i | 1.26478 | − | 1.58599i | ||||
\(392\) | −39861.4 | − | 129227.i | −0.259406 | − | 0.840974i | ||||
\(393\) | 107494. | + | 186184.i | 0.695981 | + | 1.20548i | ||||
\(394\) | 184072. | + | 106274.i | 1.18575 | + | 0.684595i | ||||
\(395\) | 38030.0 | + | 8680.09i | 0.243743 | + | 0.0556327i | ||||
\(396\) | 300440. | − | 45284.1i | 1.91588 | − | 0.288772i | ||||
\(397\) | −215999. | + | 200418.i | −1.37047 | + | 1.27161i | −0.443610 | + | 0.896220i | \(0.646302\pi\) |
−0.926865 | + | 0.375394i | \(0.877507\pi\) | |||||||
\(398\) | 302340. | + | 379122.i | 1.90866 | + | 2.39339i | ||||
\(399\) | 64080.2 | − | 93988.5i | 0.402512 | − | 0.590376i | ||||
\(400\) | −2373.46 | − | 2202.25i | −0.0148341 | − | 0.0137640i | ||||
\(401\) | −2655.60 | + | 35436.5i | −0.0165148 | + | 0.220375i | 0.982840 | + | 0.184460i | \(0.0590536\pi\) |
−0.999355 | + | 0.0359150i | \(0.988565\pi\) | |||||||
\(402\) | −65558.5 | − | 167040.i | −0.405674 | − | 1.03364i | ||||
\(403\) | −103231. | − | 452285.i | −0.635624 | − | 2.78485i | ||||
\(404\) | 67443.3 | + | 20803.5i | 0.413215 | + | 0.127460i | ||||
\(405\) | 78605.0 | + | 115292.i | 0.479226 | + | 0.702895i | ||||
\(406\) | 5374.11 | − | 35654.9i | 0.0326028 | − | 0.216305i | ||||
\(407\) | 1962.33 | + | 770.160i | 0.0118463 | + | 0.00464935i | ||||
\(408\) | 299399. | + | 144183.i | 1.79858 | + | 0.866152i | ||||
\(409\) | −93671.6 | + | 194511.i | −0.559965 | + | 1.16278i | 0.408298 | + | 0.912849i | \(0.366122\pi\) |
−0.968264 | + | 0.249932i | \(0.919592\pi\) | |||||||
\(410\) | −47183.0 | + | 120220.i | −0.280684 | + | 0.715172i | ||||
\(411\) | −176523. | − | 26606.5i | −1.04500 | − | 0.157509i | ||||
\(412\) | 307376. | − | 209566.i | 1.81082 | − | 1.23460i | ||||
\(413\) | −30280.3 | + | 98166.4i | −0.177525 | + | 0.575523i | ||||
\(414\) | 600924. | − | 137157.i | 3.50606 | − | 0.800235i | ||||
\(415\) | 288783. | − | 113339.i | 1.67678 | − | 0.658086i | ||||
\(416\) | 178263. | + | 13359.0i | 1.03009 | + | 0.0771946i | ||||
\(417\) | −83535.6 | + | 90030.0i | −0.480396 | + | 0.517744i | ||||
\(418\) | −201500. | − | 137381.i | −1.15325 | − | 0.786272i | ||||
\(419\) | 185934. | − | 148277.i | 1.05908 | − | 0.844592i | 0.0708423 | − | 0.997488i | \(-0.477431\pi\) |
0.988242 | + | 0.152896i | \(0.0488599\pi\) | |||||||
\(420\) | −173712. | − | 187217.i | −0.984761 | − | 1.06132i | ||||
\(421\) | 10108.8 | + | 67067.8i | 0.0570344 | + | 0.378399i | 0.999079 | + | 0.0429107i | \(0.0136631\pi\) |
−0.942044 | + | 0.335488i | \(0.891099\pi\) | |||||||
\(422\) | 25004.9 | − | 109554.i | 0.140411 | − | 0.615180i | ||||
\(423\) | −103693. | + | 179601.i | −0.579519 | + | 1.00376i | ||||
\(424\) | −221744. | + | 128024.i | −1.23344 | + | 0.712130i | ||||
\(425\) | −9146.73 | + | 2821.39i | −0.0506393 | + | 0.0156202i | ||||
\(426\) | 136343. | + | 108730.i | 0.751300 | + | 0.599142i | ||||
\(427\) | 4002.96 | + | 53415.8i | 0.0219546 | + | 0.292964i | ||||
\(428\) | −49348.8 | + | 23765.1i | −0.269395 | + | 0.129734i | ||||
\(429\) | 420088.i | 2.28258i | ||||||||
\(430\) | −254546. | − | 159993.i | −1.37667 | − | 0.865293i | ||||
\(431\) | −130453. | −0.702260 | −0.351130 | − | 0.936327i | \(-0.614203\pi\) | ||||
−0.351130 | + | 0.936327i | \(0.614203\pi\) | |||||||
\(432\) | 5371.55 | + | 11154.1i | 0.0287827 | + | 0.0597679i | ||||
\(433\) | −123279. | + | 9238.46i | −0.657525 | + | 0.0492747i | −0.399314 | − | 0.916814i | \(-0.630752\pi\) |
−0.258210 | + | 0.966089i | \(0.583133\pi\) | |||||||
\(434\) | −198991. | + | 249526.i | −1.05646 | + | 1.32476i | ||||
\(435\) | 18089.1 | + | 58643.6i | 0.0955960 | + | 0.309914i | ||||
\(436\) | 70394.3 | + | 121927.i | 0.370309 | + | 0.641394i | ||||
\(437\) | −274598. | − | 158539.i | −1.43792 | − | 0.830182i | ||||
\(438\) | 55212.0 | + | 12601.8i | 0.287796 | + | 0.0656876i | ||||
\(439\) | −11632.3 | + | 1753.29i | −0.0603585 | + | 0.00909758i | −0.179152 | − | 0.983821i | \(-0.557335\pi\) |
0.118794 | + | 0.992919i | \(0.462097\pi\) | |||||||
\(440\) | −176473. | + | 163743.i | −0.911534 | + | 0.845780i | ||||
\(441\) | −90784.4 | − | 113840.i | −0.466803 | − | 0.585353i | ||||
\(442\) | −310198. | + | 454977.i | −1.58780 | + | 2.32887i | ||||
\(443\) | −78024.6 | − | 72396.3i | −0.397580 | − | 0.368900i | 0.455896 | − | 0.890033i | \(-0.349319\pi\) |
−0.853475 | + | 0.521133i | \(0.825509\pi\) | |||||||
\(444\) | −499.164 | + | 6660.88i | −0.00253208 | + | 0.0337882i | ||||
\(445\) | 94899.5 | + | 241800.i | 0.479230 | + | 1.22106i | ||||
\(446\) | 15731.5 | + | 68924.0i | 0.0790859 | + | 0.346498i | ||||
\(447\) | −110972. | − | 34230.2i | −0.555388 | − | 0.171315i | ||||
\(448\) | −95200.6 | − | 139634.i | −0.474333 | − | 0.695719i | ||||
\(449\) | 2786.01 | − | 18483.9i | 0.0138194 | − | 0.0916858i | −0.980858 | − | 0.194725i | \(-0.937619\pi\) |
0.994677 | + | 0.103039i | \(0.0328567\pi\) | |||||||
\(450\) | −17709.2 | − | 6950.36i | −0.0874530 | − | 0.0343228i | ||||
\(451\) | −84387.1 | − | 40638.7i | −0.414881 | − | 0.199796i | ||||
\(452\) | −28376.4 | + | 58924.2i | −0.138893 | + | 0.288415i | ||||
\(453\) | 187759. | − | 478403.i | 0.914966 | − | 2.33130i | ||||
\(454\) | 262647. | + | 39587.6i | 1.27427 | + | 0.192065i | ||||
\(455\) | 153741. | − | 104819.i | 0.742622 | − | 0.506311i | ||||
\(456\) | 100145. | − | 324662.i | 0.481614 | − | 1.56135i | ||||
\(457\) | −69693.5 | + | 15907.1i | −0.333703 | + | 0.0761654i | −0.386089 | − | 0.922461i | \(-0.626174\pi\) |
0.0523866 | + | 0.998627i | \(0.483317\pi\) | |||||||
\(458\) | 170131. | − | 66771.4i | 0.811058 | − | 0.318317i | ||||
\(459\) | 36497.7 | + | 2735.12i | 0.173237 | + | 0.0129823i | ||||
\(460\) | −484202. | + | 521846.i | −2.28829 | + | 2.46619i | ||||
\(461\) | −294649. | − | 200888.i | −1.38645 | − | 0.945263i | −0.999734 | − | 0.0230623i | \(-0.992658\pi\) |
−0.386712 | − | 0.922201i | \(-0.626389\pi\) | |||||||
\(462\) | 225953. | − | 180191.i | 1.05860 | − | 0.844208i | ||||
\(463\) | −207715. | − | 223863.i | −0.968959 | − | 1.04429i | −0.998999 | − | 0.0447403i | \(-0.985754\pi\) |
0.0300400 | − | 0.999549i | \(-0.490437\pi\) | |||||||
\(464\) | −2941.26 | − | 19514.0i | −0.0136615 | − | 0.0906380i | ||||
\(465\) | 120874. | − | 529584.i | 0.559020 | − | 2.44923i | ||||
\(466\) | 30183.2 | − | 52278.8i | 0.138993 | − | 0.240743i | ||||
\(467\) | −40224.6 | + | 23223.7i | −0.184441 | + | 0.106487i | −0.589378 | − | 0.807858i | \(-0.700627\pi\) |
0.404936 | + | 0.914345i | \(0.367294\pi\) | |||||||
\(468\) | −670255. | + | 206746.i | −3.06019 | + | 0.943943i | ||||
\(469\) | −45068.0 | − | 35940.5i | −0.204891 | − | 0.163395i | ||||
\(470\) | −27928.6 | − | 372681.i | −0.126431 | − | 1.68710i | ||||
\(471\) | −30548.7 | + | 14711.5i | −0.137705 | + | 0.0663154i | ||||
\(472\) | 306830.i | 1.37725i | ||||||||
\(473\) | 129503. | − | 175418.i | 0.578841 | − | 0.784066i | ||||
\(474\) | −139866. | −0.622523 | ||||||||
\(475\) | 4246.21 | + | 8817.34i | 0.0188198 | + | 0.0390796i | ||||
\(476\) | 242112. | − | 18143.8i | 1.06857 | − | 0.0800783i | ||||
\(477\) | −171886. | + | 215538.i | −0.755447 | + | 0.947301i | ||||
\(478\) | −124337. | − | 403091.i | −0.544183 | − | 1.76420i | ||||
\(479\) | 191569. | + | 331807.i | 0.834938 | + | 1.44616i | 0.894081 | + | 0.447906i | \(0.147830\pi\) |
−0.0591429 | + | 0.998250i | \(0.518837\pi\) | |||||||
\(480\) | 181272. | + | 104658.i | 0.786773 | + | 0.454243i | ||||
\(481\) | −4744.55 | − | 1082.91i | −0.0205071 | − | 0.00468062i | ||||
\(482\) | 481819. | − | 72622.5i | 2.07391 | − | 0.312591i | ||||
\(483\) | 275445. | − | 255576.i | 1.18070 | − | 1.09553i | ||||
\(484\) | 13081.3 | + | 16403.4i | 0.0558417 | + | 0.0700233i | ||||
\(485\) | −88759.9 | + | 130187.i | −0.377341 | + | 0.553457i | ||||
\(486\) | −414635. | − | 384725.i | −1.75547 | − | 1.62884i | ||||
\(487\) | −19397.4 | + | 258840.i | −0.0817871 | + | 1.09137i | 0.793757 | + | 0.608235i | \(0.208122\pi\) |
−0.875544 | + | 0.483138i | \(0.839497\pi\) | |||||||
\(488\) | 58449.7 | + | 148928.i | 0.245439 | + | 0.625368i | ||||
\(489\) | 79276.6 | + | 347333.i | 0.331533 | + | 1.45254i | ||||
\(490\) | 250738. | + | 77342.6i | 1.04431 | + | 0.322127i | ||||
\(491\) | 25668.7 | + | 37649.1i | 0.106473 | + | 0.156168i | 0.875778 | − | 0.482715i | \(-0.160349\pi\) |
−0.769304 | + | 0.638883i | \(0.779397\pi\) | |||||||
\(492\) | 44232.5 | − | 293463.i | 0.182730 | − | 1.21234i | ||||
\(493\) | −54308.8 | − | 21314.6i | −0.223448 | − | 0.0876969i | ||||
\(494\) | 507248. | + | 244278.i | 2.07858 | + | 1.00099i | ||||
\(495\) | −112462. | + | 233531.i | −0.458984 | + | 0.953089i | ||||
\(496\) | −63815.9 | + | 162600.i | −0.259397 | + | 0.660934i | ||||
\(497\) | 55394.4 | + | 8349.36i | 0.224260 | + | 0.0338018i | ||||
\(498\) | −919063. | + | 626607.i | −3.70584 | + | 2.52660i | ||||
\(499\) | 106663. | − | 345794.i | 0.428365 | − | 1.38873i | −0.442307 | − | 0.896864i | \(-0.645840\pi\) |
0.870673 | − | 0.491863i | \(-0.163684\pi\) | |||||||
\(500\) | 445270. | − | 101630.i | 1.78108 | − | 0.406520i | ||||
\(501\) | 406888. | − | 159692.i | 1.62106 | − | 0.636220i | ||||
\(502\) | 175583. | + | 13158.1i | 0.696745 | + | 0.0522138i | ||||
\(503\) | −223169. | + | 240519.i | −0.882059 | + | 0.950634i | −0.999097 | − | 0.0424940i | \(-0.986470\pi\) |
0.117038 | + | 0.993127i | \(0.462660\pi\) | |||||||
\(504\) | 175298. | + | 119516.i | 0.690108 | + | 0.470508i | ||||
\(505\) | −47074.6 | + | 37540.7i | −0.184588 | + | 0.147204i | ||||
\(506\) | −547924. | − | 590522.i | −2.14003 | − | 2.30640i | ||||
\(507\) | −88838.2 | − | 589403.i | −0.345608 | − | 2.29296i | ||||
\(508\) | −80486.6 | + | 352635.i | −0.311886 | + | 1.36646i | ||||
\(509\) | 104841. | − | 181590.i | 0.404665 | − | 0.700900i | −0.589618 | − | 0.807682i | \(-0.700722\pi\) |
0.994282 | + | 0.106783i | \(0.0340549\pi\) | |||||||
\(510\) | −558390. | + | 322387.i | −2.14683 | + | 1.23947i | ||||
\(511\) | 17384.0 | − | 5362.24i | 0.0665743 | − | 0.0205355i | ||||
\(512\) | −160079. | − | 127659.i | −0.610655 | − | 0.486981i | ||||
\(513\) | −2796.42 | − | 37315.7i | −0.0106260 | − | 0.141794i | ||||
\(514\) | 195425. | − | 94111.7i | 0.739697 | − | 0.356219i | ||||
\(515\) | 317368.i | 1.19660i | ||||||||
\(516\) | 652084. | + | 228279.i | 2.44909 | + | 0.857368i | ||||
\(517\) | 271039. | 1.01403 | ||||||||
\(518\) | 1452.65 | + | 3016.45i | 0.00541378 | + | 0.0112418i | ||||
\(519\) | −54110.6 | + | 4055.03i | −0.200885 | + | 0.0150543i | ||||
\(520\) | 346508. | − | 434507.i | 1.28146 | − | 1.60690i | ||||
\(521\) | 21234.1 | + | 68839.3i | 0.0782274 | + | 0.253607i | 0.986236 | − | 0.165345i | \(-0.0528738\pi\) |
−0.908008 | + | 0.418952i | \(0.862398\pi\) | |||||||
\(522\) | −57977.1 | − | 100419.i | −0.212773 | − | 0.368533i | ||||
\(523\) | −140158. | − | 80920.2i | −0.512406 | − | 0.295838i | 0.221416 | − | 0.975179i | \(-0.428932\pi\) |
−0.733822 | + | 0.679342i | \(0.762265\pi\) | |||||||
\(524\) | 457378. | + | 104394.i | 1.66576 | + | 0.380199i | ||||
\(525\) | −11467.9 | + | 1728.51i | −0.0416069 | + | 0.00627123i | ||||
\(526\) | −148869. | + | 138130.i | −0.538063 | + | 0.499249i | ||||
\(527\) | 321970. | + | 403737.i | 1.15929 | + | 1.45371i | ||||
\(528\) | 89101.8 | − | 130688.i | 0.319609 | − | 0.468780i | ||||
\(529\) | −562634. | − | 522048.i | −2.01055 | − | 1.86552i | ||||
\(530\) | 37126.4 | − | 495417.i | 0.132169 | − | 1.76368i | ||||
\(531\) | 120694. | + | 307524.i | 0.428053 | + | 1.09066i | ||||
\(532\) | −55237.0 | − | 242009.i | −0.195167 | − | 0.855084i | ||||
\(533\) | 206619. | + | 63733.5i | 0.727304 | + | 0.224344i | ||||
\(534\) | −524662. | − | 769538.i | −1.83991 | − | 2.69866i | ||||
\(535\) | 6964.25 | − | 46204.8i | 0.0243314 | − | 0.161428i | ||||
\(536\) | −160267. | − | 62900.2i | −0.557846 | − | 0.218939i | ||||
\(537\) | 318824. | + | 153538.i | 1.10561 | + | 0.532434i | ||||
\(538\) | 17434.6 | − | 36203.4i | 0.0602349 | − | 0.125079i | ||||
\(539\) | −69524.0 | + | 177144.i | −0.239308 | + | 0.609747i | ||||
\(540\) | −83075.0 | − | 12521.5i | −0.284894 | − | 0.0429408i | ||||
\(541\) | 25046.9 | − | 17076.7i | 0.0855775 | − | 0.0583457i | −0.519775 | − | 0.854303i | \(-0.673984\pi\) |
0.605353 | + | 0.795957i | \(0.293032\pi\) | |||||||
\(542\) | −659.945 | + | 2139.49i | −0.00224652 | + | 0.00728302i | ||||
\(543\) | 208876. | − | 47674.7i | 0.708418 | − | 0.161692i | ||||
\(544\) | −185232. | + | 72698.0i | −0.625917 | + | 0.245655i | ||||
\(545\) | −119770. | − | 8975.55i | −0.403234 | − | 0.0302182i | ||||
\(546\) | −453799. | + | 489079.i | −1.52222 | + | 1.64057i | ||||
\(547\) | 299368. | + | 204105.i | 1.00053 | + | 0.682150i | 0.948592 | − | 0.316500i | \(-0.102508\pi\) |
0.0519381 | + | 0.998650i | \(0.483460\pi\) | |||||||
\(548\) | −304567. | + | 242884.i | −1.01419 | + | 0.808793i | ||||
\(549\) | 117164. | + | 126273.i | 0.388731 | + | 0.418953i | ||||
\(550\) | 3705.72 | + | 24585.8i | 0.0122503 | + | 0.0812755i | ||||
\(551\) | −13273.2 | + | 58153.8i | −0.0437193 | + | 0.191547i | ||||
\(552\) | 561137. | − | 971917.i | 1.84158 | − | 3.18971i | ||||
\(553\) | −38910.5 | + | 22465.0i | −0.127238 | + | 0.0734609i | ||||
\(554\) | −316482. | + | 97621.6i | −1.03117 | + | 0.318073i | ||||
\(555\) | −4455.11 | − | 3552.83i | −0.0144635 | − | 0.0115342i | ||||
\(556\) | 20028.0 | + | 267256.i | 0.0647871 | + | 0.864524i | ||||
\(557\) | 288423. | − | 138897.i | 0.929649 | − | 0.447695i | 0.0931427 | − | 0.995653i | \(-0.470309\pi\) |
0.836506 | + | 0.547957i | \(0.184594\pi\) | |||||||
\(558\) | 1.02634e6i | 3.29628i | ||||||||
\(559\) | −235270. | + | 444998.i | −0.752910 | + | 1.42408i | ||||
\(560\) | −70061.0 | −0.223409 | ||||||||
\(561\) | −202890. | − | 421304.i | −0.644665 | − | 1.33866i | ||||
\(562\) | −496215. | + | 37186.2i | −1.57108 | + | 0.117736i | ||||
\(563\) | 81089.2 | − | 101683.i | 0.255827 | − | 0.320797i | −0.637288 | − | 0.770626i | \(-0.719944\pi\) |
0.893115 | + | 0.449829i | \(0.148515\pi\) | |||||||
\(564\) | 253139. | + | 820656.i | 0.795794 | + | 2.57990i | ||||
\(565\) | −27896.7 | − | 48318.5i | −0.0873888 | − | 0.151362i | ||||
\(566\) | −277089. | − | 159978.i | −0.864942 | − | 0.499374i | ||||
\(567\) | −156693. | − | 35764.3i | −0.487399 | − | 0.111246i | ||||
\(568\) | 165449. | − | 24937.4i | 0.512823 | − | 0.0772956i | ||||
\(569\) | −135941. | + | 126135.i | −0.419881 | + | 0.389593i | −0.861623 | − | 0.507550i | \(-0.830551\pi\) |
0.441741 | + | 0.897143i | \(0.354361\pi\) | |||||||
\(570\) | 411020. | + | 515403.i | 1.26507 | + | 1.58634i | ||||
\(571\) | 70243.1 | − | 103028.i | 0.215443 | − | 0.315996i | −0.703270 | − | 0.710923i | \(-0.748278\pi\) |
0.918713 | + | 0.394927i | \(0.129230\pi\) | |||||||
\(572\) | 671994. | + | 623519.i | 2.05387 | + | 1.90571i | ||||
\(573\) | −51280.9 | + | 684296.i | −0.156187 | + | 2.08418i | ||||
\(574\) | −54346.2 | − | 138472.i | −0.164947 | − | 0.420279i | ||||
\(575\) | 7193.33 | + | 31516.1i | 0.0217568 | + | 0.0953227i | ||||
\(576\) | −519323. | − | 160190.i | −1.56528 | − | 0.482825i | ||||
\(577\) | 180491. | + | 264732.i | 0.542132 | + | 0.795162i | 0.995359 | − | 0.0962336i | \(-0.0306796\pi\) |
−0.453227 | + | 0.891395i | \(0.649727\pi\) | |||||||
\(578\) | 8265.79 | − | 54840.0i | 0.0247417 | − | 0.164150i | ||||
\(579\) | −748195. | − | 293645.i | −2.23181 | − | 0.875922i | ||||
\(580\) | 120658. | + | 58105.9i | 0.358675 | + | 0.172729i | ||||
\(581\) | −155038. | + | 321939.i | −0.459288 | + | 0.953721i | ||||
\(582\) | 206405. | − | 525910.i | 0.609359 | − | 1.55262i | ||||
\(583\) | 356277. | + | 53700.1i | 1.04822 | + | 0.157993i | ||||
\(584\) | 44894.1 | − | 30608.3i | 0.131633 | − | 0.0897455i | ||||
\(585\) | 176374. | − | 571792.i | 0.515376 | − | 1.67081i | ||||
\(586\) | 553341. | − | 126297.i | 1.61138 | − | 0.367787i | ||||
\(587\) | 294053. | − | 115407.i | 0.853393 | − | 0.334932i | 0.101998 | − | 0.994785i | \(-0.467476\pi\) |
0.751395 | + | 0.659852i | \(0.229381\pi\) | |||||||
\(588\) | −601292. | − | 45060.6i | −1.73912 | − | 0.130329i | ||||
\(589\) | 359113. | − | 387032.i | 1.03514 | − | 1.11562i | ||||
\(590\) | −491891. | − | 335366.i | −1.41307 | − | 0.963418i | ||||
\(591\) | 325770. | − | 259793.i | 0.932689 | − | 0.743794i | ||||
\(592\) | 1246.33 | + | 1343.22i | 0.00355623 | + | 0.00383270i | ||||
\(593\) | 41376.8 | + | 274517.i | 0.117665 | + | 0.780656i | 0.967365 | + | 0.253389i | \(0.0815452\pi\) |
−0.849700 | + | 0.527267i | \(0.823217\pi\) | |||||||
\(594\) | 21155.0 | − | 92686.2i | 0.0599571 | − | 0.262689i | ||||
\(595\) | −103562. | + | 179375.i | −0.292528 | + | 0.506673i | ||||
\(596\) | −219467. | + | 126709.i | −0.617841 | + | 0.356711i | ||||
\(597\) | 908389. | − | 280201.i | 2.54873 | − | 0.786178i | ||||
\(598\) | 1.45397e6 | + | 1.15950e6i | 4.06586 | + | 3.24241i | ||||
\(599\) | −10356.1 | − | 138193.i | −0.0288631 | − | 0.385151i | −0.992864 | − | 0.119252i | \(-0.961950\pi\) |
0.964001 | − | 0.265899i | \(-0.0856688\pi\) | |||||||
\(600\) | −31208.3 | + | 15029.1i | −0.0866897 | + | 0.0417476i | ||||
\(601\) | − | 124576.i | − | 0.344894i | −0.985019 | − | 0.172447i | \(-0.944833\pi\) | ||
0.985019 | − | 0.172447i | \(-0.0551674\pi\) | |||||||
\(602\) | 340267. | − | 64331.3i | 0.938916 | − | 0.177513i | ||||
\(603\) | −185372. | −0.509811 | ||||||||
\(604\) | −486594. | − | 1.01042e6i | −1.33381 | − | 2.76968i | ||||
\(605\) | −17848.5 | + | 1337.56i | −0.0487631 | + | 0.00365429i | ||||
\(606\) | 134605. | − | 168789.i | 0.366536 | − | 0.459621i | ||||
\(607\) | −81825.9 | − | 265273.i | −0.222082 | − | 0.719972i | −0.996213 | − | 0.0869468i | \(-0.972289\pi\) |
0.774131 | − | 0.633026i | \(-0.218187\pi\) | |||||||
\(608\) | 101723. | + | 176190.i | 0.275178 | + | 0.476622i | ||||
\(609\) | −61216.8 | − | 35343.5i | −0.165058 | − | 0.0952961i | ||||
\(610\) | −302638. | − | 69075.0i | −0.813323 | − | 0.185636i | ||||
\(611\) | −618720. | + | 93257.1i | −1.65734 | + | 0.249804i | ||||
\(612\) | 572344. | − | 531058.i | 1.52811 | − | 1.41788i | ||||
\(613\) | 186206. | + | 233495.i | 0.495533 | + | 0.621379i | 0.965215 | − | 0.261457i | \(-0.0842029\pi\) |
−0.469682 | + | 0.882836i | \(0.655632\pi\) | |||||||
\(614\) | −526612. | + | 772398.i | −1.39686 | + | 2.04882i | ||||
\(615\) | 185594. | + | 172206.i | 0.490698 | + | 0.455301i | ||||
\(616\) | 20721.5 | − | 276510.i | 0.0546086 | − | 0.728701i | ||||
\(617\) | −37660.4 | − | 95957.2i | −0.0989270 | − | 0.252062i | 0.872839 | − | 0.488008i | \(-0.162276\pi\) |
−0.971766 | + | 0.235946i | \(0.924181\pi\) | |||||||
\(618\) | −253217. | − | 1.10942e6i | −0.663004 | − | 2.90481i | ||||
\(619\) | −155020. | − | 47817.5i | −0.404583 | − | 0.124797i | 0.0857832 | − | 0.996314i | \(-0.472661\pi\) |
−0.490366 | + | 0.871517i | \(0.663137\pi\) | |||||||
\(620\) | −667741. | − | 979396.i | −1.73710 | − | 2.54786i | ||||
\(621\) | 18422.5 | − | 122225.i | 0.0477711 | − | 0.316940i | ||||
\(622\) | −508767. | − | 199676.i | −1.31504 | − | 0.516114i | ||||
\(623\) | −269562. | − | 129814.i | −0.694516 | − | 0.334461i | ||||
\(624\) | −158433. | + | 328989.i | −0.406889 | + | 0.844913i | ||||
\(625\) | −135134. | + | 344316.i | −0.345944 | + | 0.881450i | ||||
\(626\) | −772496. | − | 116435.i | −1.97128 | − | 0.297122i | ||||
\(627\) | −395019. | + | 269319.i | −1.00481 | + | 0.685066i | ||||
\(628\) | −21808.9 | + | 70702.9i | −0.0552988 | + | 0.179274i | ||||
\(629\) | 5281.30 | − | 1205.42i | 0.0133487 | − | 0.00304676i | ||||
\(630\) | −383203. | + | 150396.i | −0.965491 | + | 0.378927i | ||||
\(631\) | 406651. | + | 30474.3i | 1.02132 | + | 0.0765376i | 0.574850 | − | 0.818259i | \(-0.305061\pi\) |
0.446474 | + | 0.894797i | \(0.352680\pi\) | |||||||
\(632\) | −91275.5 | + | 98371.6i | −0.228518 | + | 0.246284i | ||||
\(633\) | −182013. | − | 124094.i | −0.454250 | − | 0.309702i | ||||
\(634\) | 913450. | − | 728452.i | 2.27251 | − | 1.81227i | ||||
\(635\) | −209880. | − | 226196.i | −0.520503 | − | 0.560968i | ||||
\(636\) | 170153. | + | 1.12889e6i | 0.420655 | + | 2.79086i | ||||
\(637\) | 97756.8 | − | 428301.i | 0.240917 | − | 1.05553i | ||||
\(638\) | −75772.4 | + | 131242.i | −0.186153 | + | 0.322426i | ||||
\(639\) | 156014. | − | 90074.7i | 0.382086 | − | 0.220598i | ||||
\(640\) | 691298. | − | 213237.i | 1.68774 | − | 0.520599i | ||||
\(641\) | −421704. | − | 336298.i | −1.02634 | − | 0.818480i | −0.0427859 | − | 0.999084i | \(-0.513623\pi\) |
−0.983556 | + | 0.180604i | \(0.942195\pi\) | |||||||
\(642\) | 12520.4 | + | 167074.i | 0.0303773 | + | 0.405357i | ||||
\(643\) | −283756. | + | 136650.i | −0.686315 | + | 0.330512i | −0.744338 | − | 0.667803i | \(-0.767235\pi\) |
0.0580225 | + | 0.998315i | \(0.481520\pi\) | |||||||
\(644\) | − | 819956.i | − | 1.97706i | ||||||
\(645\) | −474275. | + | 349926.i | −1.14002 | + | 0.841117i | ||||
\(646\) | −626695. | −1.50173 | ||||||||
\(647\) | 32255.2 | + | 66978.7i | 0.0770533 | + | 0.160003i | 0.935937 | − | 0.352168i | \(-0.114556\pi\) |
−0.858883 | + | 0.512171i | \(0.828841\pi\) | |||||||
\(648\) | −478697. | + | 35873.4i | −1.14002 | + | 0.0854323i | ||||
\(649\) | 269198. | − | 337564.i | 0.639120 | − | 0.801431i | ||||
\(650\) | −16918.6 | − | 54848.8i | −0.0400440 | − | 0.129820i | ||||
\(651\) | 312835. | + | 541847.i | 0.738165 | + | 1.27854i | ||||
\(652\) | 673279. | + | 388718.i | 1.58380 | + | 0.914406i | ||||
\(653\) | −410728. | − | 93745.9i | −0.963225 | − | 0.219850i | −0.288139 | − | 0.957589i | \(-0.593036\pi\) |
−0.675086 | + | 0.737739i | \(0.735894\pi\) | |||||||
\(654\) | 425840. | − | 64185.1i | 0.995615 | − | 0.150065i | ||||
\(655\) | −293384. | + | 272220.i | −0.683838 | + | 0.634509i | ||||
\(656\) | −50760.6 | − | 63651.8i | −0.117956 | − | 0.147912i | ||||
\(657\) | 32955.6 | − | 48337.0i | 0.0763482 | − | 0.111982i | ||||
\(658\) | 315552. | + | 292790.i | 0.728819 | + | 0.676245i | ||||
\(659\) | 28329.1 | − | 378026.i | 0.0652322 | − | 0.870464i | −0.864595 | − | 0.502469i | \(-0.832425\pi\) |
0.929828 | − | 0.367995i | \(-0.119956\pi\) | |||||||
\(660\) | 392150. | + | 999182.i | 0.900252 | + | 2.29381i | ||||
\(661\) | 174137. | + | 762945.i | 0.398555 | + | 1.74619i | 0.633090 | + | 0.774078i | \(0.281786\pi\) |
−0.234535 | + | 0.972108i | \(0.575357\pi\) | |||||||
\(662\) | 282111. | + | 87019.8i | 0.643731 | + | 0.198565i | ||||
\(663\) | 608109. | + | 891932.i | 1.38342 | + | 2.02911i | ||||
\(664\) | −159064. | + | 1.05532e6i | −0.360774 | + | 2.39358i | ||||
\(665\) | 197128. | + | 77367.0i | 0.445764 | + | 0.174949i | ||||
\(666\) | 9700.31 | + | 4671.42i | 0.0218694 | + | 0.0105318i | ||||
\(667\) | −85489.0 | + | 177520.i | −0.192158 | + | 0.399020i | ||||
\(668\) | 348476. | − | 887903.i | 0.780945 | − | 1.98981i | ||||
\(669\) | 137045. | + | 20656.2i | 0.306203 | + | 0.0461527i | ||||
\(670\) | 276010. | − | 188180.i | 0.614859 | − | 0.419204i | ||||
\(671\) | 66357.6 | − | 215126.i | 0.147382 | − | 0.477802i | ||||
\(672\) | −235048. | + | 53648.2i | −0.520497 | + | 0.118800i | ||||
\(673\) | −650354. | + | 255245.i | −1.43589 | + | 0.563544i | −0.950491 | − | 0.310752i | \(-0.899419\pi\) |
−0.485395 | + | 0.874295i | \(0.661324\pi\) | |||||||
\(674\) | −490654. | − | 36769.4i | −1.08008 | − | 0.0809407i | ||||
\(675\) | −2594.89 | + | 2796.63i | −0.00569524 | + | 0.00613801i | ||||
\(676\) | −1.07470e6 | − | 732717.i | −2.35176 | − | 1.60340i | ||||
\(677\) | 36556.7 | − | 29153.0i | 0.0797609 | − | 0.0636072i | −0.582798 | − | 0.812617i | \(-0.698042\pi\) |
0.662559 | + | 0.749010i | \(0.269471\pi\) | |||||||
\(678\) | 136069. | + | 146648.i | 0.296007 | + | 0.319019i | ||||
\(679\) | −27049.2 | − | 179460.i | −0.0586698 | − | 0.389249i | ||||
\(680\) | −137658. | + | 603118.i | −0.297703 | + | 1.30432i | ||||
\(681\) | 260353. | − | 450944.i | 0.561394 | − | 0.972364i | ||||
\(682\) | 1.16166e6 | − | 670682.i | 2.49752 | − | 1.44194i | ||||
\(683\) | −146368. | + | 45148.7i | −0.313766 | + | 0.0967841i | −0.447639 | − | 0.894215i | \(-0.647735\pi\) |
0.133873 | + | 0.990999i | \(0.457259\pi\) | |||||||
\(684\) | −624111. | − | 497712.i | −1.33398 | − | 1.06381i | ||||
\(685\) | −24834.9 | − | 331399.i | −0.0529275 | − | 0.706269i | ||||
\(686\) | −677447. | + | 326241.i | −1.43955 | + | 0.693251i | ||||
\(687\) | − | 358290.i | − | 0.759138i | ||||||
\(688\) | 167577. | − | 88536.4i | 0.354029 | − | 0.187044i | ||||
\(689\) | −831775. | −1.75213 | ||||||||
\(690\) | 944796. | + | 1.96189e6i | 1.98445 | + | 4.12075i | ||||
\(691\) | 726278. | − | 54427.0i | 1.52106 | − | 0.113988i | 0.712195 | − | 0.701982i | \(-0.247701\pi\) |
0.808865 | + | 0.587994i | \(0.200082\pi\) | |||||||
\(692\) | −73827.6 | + | 92576.8i | −0.154172 | + | 0.193326i | ||||
\(693\) | −87999.2 | − | 285286.i | −0.183237 | − | 0.594039i | ||||
\(694\) | −661063. | − | 1.14499e6i | −1.37254 | − | 2.37730i | ||||
\(695\) | −198003. | − | 114317.i | −0.409923 | − | 0.236669i | ||||
\(696\) | −205831. | − | 46979.6i | −0.424905 | − | 0.0969819i | ||||
\(697\) | −237999. | + | 35872.5i | −0.489902 | + | 0.0738408i | ||||
\(698\) | −204154. | + | 189427.i | −0.419031 | + | 0.388804i | ||||
\(699\) | −73784.8 | − | 92523.2i | −0.151012 | − | 0.189364i | ||||
\(700\) | −14256.3 | + | 20910.2i | −0.0290945 | + | 0.0426739i | ||||
\(701\) | 665319. | + | 617326.i | 1.35392 | + | 1.25626i | 0.937902 | + | 0.346901i | \(0.112766\pi\) |
0.416020 | + | 0.909355i | \(0.363424\pi\) | |||||||
\(702\) | −16401.3 | + | 218860.i | −0.0332816 | + | 0.444112i | ||||
\(703\) | −2023.45 | − | 5155.67i | −0.00409433 | − | 0.0104322i | ||||
\(704\) | 158051. | + | 692469.i | 0.318899 | + | 1.39719i | ||||
\(705\) | −700099. | − | 215952.i | −1.40858 | − | 0.434489i | ||||
\(706\) | 361617. | + | 530394.i | 0.725503 | + | 1.06412i | ||||
\(707\) | 10336.3 | − | 68577.0i | 0.0206789 | − | 0.137195i | ||||
\(708\) | 1.27350e6 | + | 499811.i | 2.54057 | + | 0.997102i | ||||
\(709\) | 505179. | + | 243281.i | 1.00497 | + | 0.483967i | 0.862622 | − | 0.505850i | \(-0.168821\pi\) |
0.142347 | + | 0.989817i | \(0.454535\pi\) | |||||||
\(710\) | −140858. | + | 292495.i | −0.279425 | + | 0.580231i | ||||
\(711\) | −52786.6 | + | 134498.i | −0.104420 | + | 0.266059i | ||||
\(712\) | −883627. | − | 133185.i | −1.74305 | − | 0.262722i | ||||
\(713\) | 1.44095e6 | − | 982422.i | 2.83445 | − | 1.93250i | ||||
\(714\) | 218903. | − | 709666.i | 0.429393 | − | 1.39206i | ||||
\(715\) | −762432. | + | 174020.i | −1.49138 | + | 0.340398i | ||||
\(716\) | 718824. | − | 282118.i | 1.40216 | − | 0.550306i | ||||
\(717\) | −824643. | − | 61798.4i | −1.60409 | − | 0.120210i | ||||
\(718\) | 363879. | − | 392169.i | 0.705843 | − | 0.760718i | ||||
\(719\) | 13257.3 | + | 9038.65i | 0.0256446 | + | 0.0174842i | 0.576075 | − | 0.817397i | \(-0.304584\pi\) |
−0.550430 | + | 0.834881i | \(0.685536\pi\) | |||||||
\(720\) | −176148. | + | 140474.i | −0.339792 | + | 0.270975i | ||||
\(721\) | −248637. | − | 267967.i | −0.478294 | − | 0.515479i | ||||
\(722\) | −34152.2 | − | 226585.i | −0.0655155 | − | 0.434667i | ||||
\(723\) | 212557. | − | 931272.i | 0.406629 | − | 1.78156i | ||||
\(724\) | 233764. | − | 404891.i | 0.445964 | − | 0.772433i | ||||
\(725\) | 5266.59 | − | 3040.67i | 0.0100197 | − | 0.00578486i | ||||
\(726\) | 61325.5 | − | 18916.4i | 0.116350 | − | 0.0358893i | ||||
\(727\) | 308049. | + | 245661.i | 0.582842 | + | 0.464801i | 0.869979 | − | 0.493089i | \(-0.164132\pi\) |
−0.287137 | + | 0.957889i | \(0.592704\pi\) | |||||||
\(728\) | 47836.8 | + | 638338.i | 0.0902609 | + | 1.20445i | ||||
\(729\) | −581007. | + | 279798.i | −1.09327 | + | 0.526490i | ||||
\(730\) | 105426.i | 0.197835i | ||||||||
\(731\) | 21031.2 | − | 559915.i | 0.0393576 | − | 1.04782i | ||||
\(732\) | 713336. | 1.33129 | ||||||||
\(733\) | −244005. | − | 506681.i | −0.454140 | − | 0.943032i | −0.994805 | − | 0.101794i | \(-0.967542\pi\) |
0.540665 | − | 0.841238i | \(-0.318173\pi\) | |||||||
\(734\) | −108111. | + | 8101.83i | −0.200669 | + | 0.0150380i | ||||
\(735\) | 320722. | − | 402173.i | 0.593682 | − | 0.744454i | ||||
\(736\) | 198081. | + | 642163.i | 0.365668 | + | 1.18547i | ||||
\(737\) | 121135. | + | 209811.i | 0.223015 | + | 0.386273i | ||||
\(738\) | −414277. | − | 239183.i | −0.760638 | − | 0.439154i | ||||
\(739\) | 647379. | + | 147760.i | 1.18541 | + | 0.270563i | 0.769383 | − | 0.638788i | \(-0.220564\pi\) |
0.416030 | + | 0.909351i | \(0.363421\pi\) | |||||||
\(740\) | −12295.8 | + | 1853.30i | −0.0224540 | + | 0.00338440i | ||||
\(741\) | 809072. | − | 750709.i | 1.47350 | − | 1.36721i | ||||
\(742\) | 356779. | + | 447387.i | 0.648025 | + | 0.812597i | ||||
\(743\) | −168826. | + | 247623.i | −0.305817 | + | 0.448552i | −0.948126 | − | 0.317894i | \(-0.897024\pi\) |
0.642309 | + | 0.766446i | \(0.277977\pi\) | |||||||
\(744\) | 1.36987e6 | + | 1.27105e6i | 2.47476 | + | 2.29624i | ||||
\(745\) | 16155.9 | − | 215586.i | 0.0291085 | − | 0.388426i | ||||
\(746\) | −510235. | − | 1.30006e6i | −0.916838 | − | 2.33606i | ||||
\(747\) | 255696. | + | 1.12028e6i | 0.458229 | + | 2.00763i | ||||
\(748\) | −975080. | − | 300772.i | −1.74276 | − | 0.537570i | ||||
\(749\) | 30318.2 | + | 44468.6i | 0.0540430 | + | 0.0792665i | ||||
\(750\) | 208218. | − | 1.38143e6i | 0.370165 | − | 2.45588i | ||||
\(751\) | −709252. | − | 278361.i | −1.25754 | − | 0.493547i | −0.359367 | − | 0.933196i | \(-0.617008\pi\) |
−0.898170 | + | 0.439649i | \(0.855103\pi\) | |||||||
\(752\) | 212263. | + | 102220.i | 0.375351 | + | 0.180760i | ||||
\(753\) | 149766. | − | 310992.i | 0.264133 | − | 0.548479i | ||||
\(754\) | 127814. | − | 325665.i | 0.224821 | − | 0.572834i | ||||
\(755\) | 946049. | + | 142594.i | 1.65966 | + | 0.250154i | ||||
\(756\) | 79953.4 | − | 54511.3i | 0.139892 | − | 0.0953769i | ||||
\(757\) | −132957. | + | 431037.i | −0.232017 | + | 0.752182i | 0.762442 | + | 0.647057i | \(0.224000\pi\) |
−0.994459 | + | 0.105125i | \(0.966476\pi\) | |||||||
\(758\) | 215886. | − | 49274.5i | 0.375738 | − | 0.0857598i | ||||
\(759\) | −1.47006e6 | + | 576955.i | −2.55183 | + | 1.00152i | ||||
\(760\) | 630725. | + | 47266.3i | 1.09197 | + | 0.0818322i | ||||
\(761\) | 587263. | − | 632919.i | 1.01406 | − | 1.09290i | 0.0183996 | − | 0.999831i | \(-0.494143\pi\) |
0.995660 | − | 0.0930656i | \(-0.0296666\pi\) | |||||||
\(762\) | 914146. | + | 623254.i | 1.57437 | + | 1.07338i | ||||
\(763\) | 108159. | − | 86253.8i | 0.185786 | − | 0.148159i | ||||
\(764\) | 1.01852e6 | + | 1.09770e6i | 1.74495 | + | 1.88061i | ||||
\(765\) | 99272.7 | + | 658632.i | 0.169632 | + | 1.12543i | ||||
\(766\) | −428694. | + | 1.87823e6i | −0.730617 | + | 3.20104i | ||||
\(767\) | −498371. | + | 863203.i | −0.847153 | + | 1.46731i | ||||
\(768\) | −1.15432e6 | + | 666447.i | −1.95706 | + | 1.12991i | ||||
\(769\) | −506341. | + | 156186.i | −0.856230 | + | 0.264112i | −0.691633 | − | 0.722249i | \(-0.743108\pi\) |
−0.164597 | + | 0.986361i | \(0.552632\pi\) | |||||||
\(770\) | 420635. | + | 335446.i | 0.709454 | + | 0.565771i | ||||
\(771\) | −31776.7 | − | 424030.i | −0.0534564 | − | 0.713326i | ||||
\(772\) | −1.58024e6 | + | 761005.i | −2.65149 | + | 1.27689i | ||||
\(773\) | 574172.i | 0.960911i | 0.877019 | + | 0.480455i | \(0.159529\pi\) | ||||
−0.877019 | + | 0.480455i | \(0.840471\pi\) | |||||||
\(774\) | 726519. | − | 843985.i | 1.21273 | − | 1.40881i | ||||
\(775\) | −53827.6 | −0.0896193 | ||||||||
\(776\) | −235189. | − | 488375.i | −0.390565 | − | 0.811017i | ||||
\(777\) | 6545.05 | − | 490.483i | 0.0108410 | − | 0.000812423i | ||||
\(778\) | −363943. | + | 456370.i | −0.601276 | + | 0.753977i | ||||
\(779\) | 72533.8 | + | 235149.i | 0.119527 | + | 0.387496i | ||||
\(780\) | −1.23898e6 | − | 2.14597e6i | −2.03645 | − | 3.52724i | ||||
\(781\) | −203900. | − | 117722.i | −0.334284 | − | 0.192999i | ||||
\(782\) | −2.01818e6 | − | 460637.i | −3.30025 | − | 0.753260i | ||||
\(783\) | −22993.2 | + | 3465.67i | −0.0375039 | + | 0.00565280i | ||||
\(784\) | −121256. | + | 112509.i | −0.197274 | + | 0.183044i | ||||
\(785\) | −39355.1 | − | 49349.7i | −0.0638648 | − | 0.0800839i | ||||
\(786\) | 808380. | − | 1.18568e6i | 1.30849 | − | 1.91920i | ||||
\(787\) | 135050. | + | 125308.i | 0.218044 | + | 0.202315i | 0.781630 | − | 0.623742i | \(-0.214388\pi\) |
−0.563586 | + | 0.826057i | \(0.690579\pi\) | |||||||
\(788\) | 67949.2 | − | 906719.i | 0.109429 | − | 1.46023i | ||||
\(789\) | 145449. | + | 370598.i | 0.233645 | + | 0.595317i | ||||
\(790\) | −57939.1 | − | 253848.i | −0.0928363 | − | 0.406742i | ||||
\(791\) | 61408.6 | + | 18942.1i | 0.0981469 | + | 0.0302743i | ||||
\(792\) | −502309. | − | 736752.i | −0.800794 | − | 1.17455i | ||||
\(793\) | −77460.2 | + | 513915.i | −0.123178 | + | 0.817231i | ||||
\(794\) | 1.83086e6 | + | 718561.i | 2.90412 | + | 1.13978i | ||||
\(795\) | −877483. | − | 422574.i | −1.38837 | − | 0.668603i | ||||
\(796\) | 900061. | − | 1.86900e6i | 1.42051 | − | 2.94973i | ||||
\(797\) | 36589.9 | − | 93229.4i | 0.0576029 | − | 0.146770i | −0.899175 | − | 0.437589i | \(-0.855833\pi\) |
0.956778 | + | 0.290819i | \(0.0939278\pi\) | |||||||
\(798\) | −750825. | − | 113169.i | −1.17905 | − | 0.177713i | ||||
\(799\) | 575472. | − | 392350.i | 0.901427 | − | 0.614583i | ||||
\(800\) | 6113.71 | − | 19820.2i | 0.00955267 | − | 0.0309690i | ||||
\(801\) | −938016. | + | 214096.i | −1.46199 | + | 0.333690i | ||||
\(802\) | 220803. | − | 86658.9i | 0.343286 | − | 0.134730i | ||||
\(803\) | −76245.2 | − | 5713.78i | −0.118245 | − | 0.00886120i | ||||
\(804\) | −522135. | + | 562727.i | −0.807738 | + | 0.870535i | ||||
\(805\) | 577956. | + | 394043.i | 0.891872 | + | 0.608068i | ||||
\(806\) | −2.42103e6 | + | 1.93071e6i | −3.72675 | + | 2.97198i | ||||
\(807\) | −53579.8 | − | 57745.3i | −0.0822723 | − | 0.0886685i | ||||
\(808\) | −30872.0 | − | 204822.i | −0.0472870 | − | 0.313729i | ||||
\(809\) | 118302. | − | 518314.i | 0.180757 | − | 0.791947i | −0.800514 | − | 0.599314i | \(-0.795440\pi\) |
0.981271 | − | 0.192633i | \(-0.0617027\pi\) | |||||||
\(810\) | 465707. | − | 806628.i | 0.709811 | − | 1.22943i | ||||
\(811\) | −62272.6 | + | 35953.1i | −0.0946794 | + | 0.0546632i | −0.546592 | − | 0.837399i | \(-0.684075\pi\) |
0.451913 | + | 0.892062i | \(0.350742\pi\) | |||||||
\(812\) | −147399. | + | 45466.5i | −0.223554 | + | 0.0689572i | ||||
\(813\) | 3431.64 | + | 2736.64i | 0.00519183 | + | 0.00414035i | ||||
\(814\) | −1051.54 | − | 14031.8i | −0.00158700 | − | 0.0211770i | ||||
\(815\) | −597547. | + | 287764.i | −0.899616 | + | 0.433232i | ||||
\(816\) | − | 406460.i | − | 0.610432i | ||||||
\(817\) | −569275. | + | 64059.0i | −0.852860 | + | 0.0959701i | ||||
\(818\) | 1.44106e6 | 2.15365 | ||||||||
\(819\) | 299041. | + | 620965.i | 0.445824 | + | 0.925762i | ||||
\(820\) | 550940. | − | 41287.2i | 0.819363 | − | 0.0614028i | ||||
\(821\) | 58653.2 | − | 73548.8i | 0.0870173 | − | 0.109116i | −0.736417 | − | 0.676528i | \(-0.763484\pi\) |
0.823434 | + | 0.567412i | \(0.192055\pi\) | |||||||
\(822\) | 351227. | + | 1.13865e6i | 0.519809 | + | 1.68518i | ||||
\(823\) | 473456. | + | 820049.i | 0.699004 | + | 1.21071i | 0.968812 | + | 0.247796i | \(0.0797063\pi\) |
−0.269808 | + | 0.962914i | \(0.586960\pi\) | |||||||
\(824\) | −945530. | − | 545902.i | −1.39258 | − | 0.804008i | ||||
\(825\) | 47520.2 | + | 10846.2i | 0.0698184 | + | 0.0159356i | ||||
\(826\) | 678061. | − | 102201.i | 0.993822 | − | 0.149795i | ||||
\(827\) | −149749. | + | 138947.i | −0.218954 | + | 0.203159i | −0.782022 | − | 0.623251i | \(-0.785811\pi\) |
0.563068 | + | 0.826411i | \(0.309621\pi\) | |||||||
\(828\) | −1.64403e6 | − | 2.06155e6i | −2.39800 | − | 3.00699i | ||||
\(829\) | −611329. | + | 896654.i | −0.889540 | + | 1.30472i | 0.0622796 | + | 0.998059i | \(0.480163\pi\) |
−0.951820 | + | 0.306657i | \(0.900789\pi\) | |||||||
\(830\) | −1.51797e6 | − | 1.40847e6i | −2.20347 | − | 2.04452i | ||||
\(831\) | −48520.2 | + | 647457.i | −0.0702620 | + | 0.937581i | ||||
\(832\) | −599054. | − | 1.52637e6i | −0.865405 | − | 2.20502i | ||||
\(833\) | 108816. | + | 476755.i | 0.156821 | + | 0.687076i | ||||
\(834\) | 783364. | + | 241636.i | 1.12624 | + | 0.347400i | ||||
\(835\) | 458383. | + | 672324.i | 0.657439 | + | 0.964285i | ||||
\(836\) | −155493. | + | 1.03163e6i | −0.222484 | + | 1.47609i | ||||
\(837\) | 191591. | + | 75193.9i | 0.273479 | + | 0.107333i | ||||
\(838\) | −1.43022e6 | − | 688758.i | −2.03664 | − | 0.980796i | ||||
\(839\) | 350194. | − | 727185.i | 0.497490 | − | 1.03305i | −0.489460 | − | 0.872026i | \(-0.662806\pi\) |
0.986951 | − | 0.161024i | \(-0.0514796\pi\) | |||||||
\(840\) | −273835. | + | 697719.i | −0.388088 | + | 0.988831i | ||||
\(841\) | −662729. | − | 99890.4i | −0.937010 | − | 0.141231i | ||||
\(842\) | 374063. | − | 255032.i | 0.527620 | − | 0.359725i | ||||
\(843\) | −287534. | + | 932164.i | −0.404608 | + | 1.31171i | ||||
\(844\) | −468662. | + | 106969.i | −0.657922 | + | 0.150166i | ||||
\(845\) | 1.03293e6 | − | 405394.i | 1.44663 | − | 0.567759i | ||||
\(846\) | 1.38041e6 | + | 103448.i | 1.92872 | + | 0.144537i | ||||
\(847\) | 14022.3 | − | 15112.5i | 0.0195458 | − | 0.0210654i | ||||
\(848\) | 258763. | + | 176422.i | 0.359841 | + | 0.245336i | ||||
\(849\) | −490393. | + | 391076.i | −0.680345 | + | 0.542557i | ||||
\(850\) | 43457.9 | + | 46836.5i | 0.0601493 | + | 0.0648256i | ||||
\(851\) | −2726.69 | − | 18090.4i | −0.00376510 | − | 0.0249798i | ||||
\(852\) | 166006. | − | 727318.i | 0.228688 | − | 1.00195i | ||||
\(853\) | −378301. | + | 655236.i | −0.519923 | + | 0.900534i | 0.479808 | + | 0.877373i | \(0.340706\pi\) |
−0.999732 | + | 0.0231603i | \(0.992627\pi\) | |||||||
\(854\) | 309645. | − | 178774.i | 0.424569 | − | 0.245125i | ||||
\(855\) | 650744. | − | 200728.i | 0.890181 | − | 0.274584i | ||||
\(856\) | 125678. | + | 100225.i | 0.171519 | + | 0.136782i | ||||
\(857\) | −74977.6 | − | 1.00051e6i | −0.102087 | − | 1.36226i | −0.779384 | − | 0.626546i | \(-0.784468\pi\) |
0.677297 | − | 0.735709i | \(-0.263151\pi\) | |||||||
\(858\) | 2.52637e6 | − | 1.21664e6i | 3.43181 | − | 1.65267i | ||||
\(859\) | − | 1.09149e6i | − | 1.47922i | −0.673033 | − | 0.739612i | \(-0.735009\pi\) | ||
0.673033 | − | 0.739612i | \(-0.264991\pi\) | |||||||
\(860\) | −144188. | + | 1.27805e6i | −0.194954 | + | 1.72803i | ||||
\(861\) | −291617. | −0.393375 | ||||||||
\(862\) | 377810. | + | 784531.i | 0.508463 | + | 1.05583i | ||||
\(863\) | 312407. | − | 23411.7i | 0.419468 | − | 0.0314348i | 0.136676 | − | 0.990616i | \(-0.456358\pi\) |
0.282793 | + | 0.959181i | \(0.408739\pi\) | |||||||
\(864\) | −49448.4 | + | 62006.3i | −0.0662406 | + | 0.0830631i | ||||
\(865\) | −29774.8 | − | 96527.5i | −0.0397939 | − | 0.129009i | ||||
\(866\) | 412593. | + | 714632.i | 0.550156 | + | 0.952898i | ||||
\(867\) | −94156.0 | − | 54361.0i | −0.125259 | − | 0.0723185i | ||||
\(868\) | 1.33109e6 | + | 303813.i | 1.76673 | + | 0.403244i | ||||
\(869\) | 186725. | − | 28144.2i | 0.247265 | − | 0.0372692i | ||||
\(870\) | 300289. | − | 278627.i | 0.396735 | − | 0.368116i | ||||
\(871\) | −348713. | − | 437272.i | −0.459654 | − | 0.576388i | ||||
\(872\) | 232757. | − | 341392.i | 0.306104 | − | 0.448973i | ||||
\(873\) | −427828. | − | 396966.i | −0.561359 | − | 0.520865i | ||||
\(874\) | −158165. | + | 2.11056e6i | −0.207055 | + | 2.76296i | ||||
\(875\) | −163957. | − | 417757.i | −0.214148 | − | 0.545641i | ||||
\(876\) | −53909.4 | − | 236192.i | −0.0702516 | − | 0.307792i | ||||
\(877\) | −1.00490e6 | − | 309970.i | −1.30654 | − | 0.403014i | −0.438152 | − | 0.898901i | \(-0.644367\pi\) |
−0.868387 | + | 0.495887i | \(0.834843\pi\) | |||||||
\(878\) | 44233.2 | + | 64878.2i | 0.0573798 | + | 0.0841607i | ||||
\(879\) | 165834. | − | 1.10023e6i | 0.214632 | − | 1.42399i | ||||
\(880\) | 274101. | + | 107577.i | 0.353953 | + | 0.138916i | ||||
\(881\) | 232926. | + | 112171.i | 0.300100 | + | 0.144520i | 0.577874 | − | 0.816126i | \(-0.303882\pi\) |
−0.277774 | + | 0.960646i | \(0.589597\pi\) | |||||||
\(882\) | −421699. | + | 875668.i | −0.542083 | + | 1.12565i | ||||
\(883\) | 164752. | − | 419781.i | 0.211305 | − | 0.538396i | −0.785447 | − | 0.618929i | \(-0.787567\pi\) |
0.996752 | + | 0.0805331i | \(0.0256623\pi\) | |||||||
\(884\) | 2.32937e6 | + | 351096.i | 2.98081 | + | 0.449285i | ||||
\(885\) | −964298. | + | 657447.i | −1.23119 | + | 0.839411i | ||||
\(886\) | −209414. | + | 678904.i | −0.266771 | + | 0.864850i | ||||
\(887\) | 442000. | − | 100884.i | 0.561791 | − | 0.128225i | 0.0678108 | − | 0.997698i | \(-0.478399\pi\) |
0.493980 | + | 0.869473i | \(0.335541\pi\) | |||||||
\(888\) | 18248.1 | − | 7161.86i | 0.0231415 | − | 0.00908238i | ||||
\(889\) | 354420. | + | 26560.1i | 0.448451 | + | 0.0336067i | ||||
\(890\) | 1.17932e6 | − | 1.27101e6i | 1.48885 | − | 1.60460i | ||||
\(891\) | 558120. | + | 380520.i | 0.703027 | + | 0.479316i | ||||
\(892\) | 236452. | − | 188565.i | 0.297176 | − | 0.236990i | ||||
\(893\) | −484355. | − | 522011.i | −0.607381 | − | 0.654601i | ||||
\(894\) | 115533. | + | 766510.i | 0.144554 | + | 0.959053i | ||||
\(895\) | −146589. | + | 642247.i | −0.183002 | + | 0.801782i | ||||
\(896\) | −416634. | + | 721631.i | −0.518966 | + | 0.898875i | ||||
\(897\) | 3.15729e6 | − | 1.82286e6i | 3.92401 | − | 2.26553i | ||||
\(898\) | −119230. | + | 36777.5i | −0.147853 | + | 0.0456068i | ||||
\(899\) | −256505. | − | 204556.i | −0.317378 | − | 0.253100i | ||||
\(900\) | 6081.87 | + | 81156.9i | 0.00750848 | + | 0.100194i | ||||
\(901\) | 834184. | − | 401722.i | 1.02757 | − | 0.494853i | ||||
\(902\) | 625193.i | 0.768424i | ||||||||
\(903\) | 126306. | − | 667019.i | 0.154899 | − | 0.818018i | ||||
\(904\) | 191939. | 0.234870 | ||||||||
\(905\) | 173053. | + | 359348.i | 0.211291 | + | 0.438751i | ||||
\(906\) | −3.42085e6 | + | 256358.i | −4.16752 | + | 0.312313i | ||||
\(907\) | −539734. | + | 676805.i | −0.656092 | + | 0.822714i | −0.992912 | − | 0.118856i | \(-0.962077\pi\) |
0.336819 | + | 0.941569i | \(0.390649\pi\) | |||||||
\(908\) | −334922. | − | 1.08579e6i | −0.406230 | − | 1.31697i | ||||
\(909\) | −111510. | − | 193142.i | −0.134955 | − | 0.233748i | ||||
\(910\) | −1.07563e6 | − | 621016.i | −1.29891 | − | 0.749929i | ||||
\(911\) | −89460.0 | − | 20418.7i | −0.107793 | − | 0.0246031i | 0.168284 | − | 0.985739i | \(-0.446177\pi\) |
−0.276077 | + | 0.961135i | \(0.589035\pi\) | |||||||
\(912\) | −410928. | + | 61937.4i | −0.494056 | + | 0.0744669i | ||||
\(913\) | 1.10088e6 | − | 1.02147e6i | 1.32069 | − | 1.22542i | ||||
\(914\) | 297506. | + | 373061.i | 0.356126 | + | 0.446568i | ||||
\(915\) | −342805. | + | 502803.i | −0.409454 | + | 0.600559i | ||||
\(916\) | −573138. | − | 531795.i | −0.683075 | − | 0.633801i | ||||
\(917\) | 34449.3 | − | 459694.i | 0.0409677 | − | 0.546676i | ||||
\(918\) | −89253.9 | − | 227415.i | −0.105911 | − | 0.269857i | ||||
\(919\) | −118091. | − | 517390.i | −0.139825 | − | 0.612614i | −0.995472 | − | 0.0950541i | \(-0.969698\pi\) |
0.855647 | − | 0.517560i | \(-0.173160\pi\) | |||||||
\(920\) | 1.99642e6 | + | 615813.i | 2.35872 | + | 0.727567i | ||||
\(921\) | 1.03236e6 | + | 1.51420e6i | 1.21707 | + | 1.78511i | ||||
\(922\) | −354778. | + | 2.35380e6i | −0.417344 | + | 2.76890i | ||||
\(923\) | 505962. | + | 198575.i | 0.593901 | + | 0.233089i | ||||
\(924\) | −1.11390e6 | − | 536426.i | −1.30468 | − | 0.628299i | ||||
\(925\) | −244.997 | + | 508.742i | −0.000286337 | + | 0.000594585i | ||||
\(926\) | −744722. | + | 1.89752e6i | −0.868504 | + | 2.21291i | ||||
\(927\) | −1.16241e6 | − | 175204.i | −1.35269 | − | 0.203885i | ||||
\(928\) | 104454. | − | 71215.8i | 0.121292 | − | 0.0826952i | ||||
\(929\) | 271705. | − | 880847.i | 0.314823 | − | 1.02063i | −0.650485 | − | 0.759519i | \(-0.725434\pi\) |
0.965308 | − | 0.261113i | \(-0.0840895\pi\) | |||||||
\(930\) | −3.53494e6 | + | 806828.i | −4.08711 | + | 0.932857i | ||||
\(931\) | 465414. | − | 182661.i | 0.536958 | − | 0.210740i | ||||
\(932\) | −257521. | − | 19298.5i | −0.296470 | − | 0.0222173i | ||||
\(933\) | −728769. | + | 785426.i | −0.837195 | + | 0.902281i | ||||
\(934\) | 256162. | + | 174648.i | 0.293644 | + | 0.200203i | ||||
\(935\) | 680594. | − | 542755.i | 0.778511 | − | 0.620842i | ||||
\(936\) | 1.40015e6 | + | 1.50900e6i | 1.59817 | + | 1.72242i | ||||
\(937\) | −127093. | − | 843208.i | −0.144758 | − | 0.960408i | −0.936781 | − | 0.349916i | \(-0.886210\pi\) |
0.792023 | − | 0.610491i | \(-0.209028\pi\) | |||||||
\(938\) | −85619.6 | + | 375124.i | −0.0973123 | + | 0.426353i | ||||
\(939\) | −765749. | + | 1.32632e6i | −0.868471 | + | 1.50424i | ||||
\(940\) | −1.38458e6 | + | 799385.i | −1.56697 | + | 0.904691i | ||||
\(941\) | 1.30929e6 | − | 403863.i | 1.47862 | − | 0.456095i | 0.552563 | − | 0.833471i | \(-0.313650\pi\) |
0.926060 | + | 0.377376i | \(0.123174\pi\) | |||||||
\(942\) | 176947. | + | 141111.i | 0.199408 | + | 0.159022i | ||||
\(943\) | 60744.3 | + | 810577.i | 0.0683097 | + | 0.911530i | ||||
\(944\) | 338130. | − | 162835.i | 0.379437 | − | 0.182727i | ||||
\(945\) | 82552.4i | 0.0924413i | ||||||||
\(946\) | −1.43001e6 | − | 270786.i | −1.59793 | − | 0.302582i | ||||
\(947\) | −356389. | −0.397396 | −0.198698 | − | 0.980061i | \(-0.563671\pi\) | ||||
−0.198698 | + | 0.980061i | \(0.563671\pi\) | |||||||
\(948\) | 259608. | + | 539082.i | 0.288870 | + | 0.599844i | ||||
\(949\) | 176016. | − | 13190.6i | 0.195443 | − | 0.0146464i | ||||
\(950\) | 40729.1 | − | 51072.7i | 0.0451292 | − | 0.0565902i | ||||
\(951\) | −675111. | − | 2.18866e6i | −0.746473 | − | 2.42001i | ||||
\(952\) | −356273. | − | 617083.i | −0.393105 | − | 0.680879i | ||||
\(953\) | 319923. | + | 184707.i | 0.352257 | + | 0.203376i | 0.665679 | − | 0.746238i | \(-0.268142\pi\) |
−0.313422 | + | 0.949614i | \(0.601475\pi\) | |||||||
\(954\) | 1.79404e6 | + | 409477.i | 1.97122 | + | 0.449918i | ||||
\(955\) | −1.26320e6 | + | 190396.i | −1.38504 | + | 0.208762i | ||||
\(956\) | −1.32284e6 | + | 1.22742e6i | −1.44741 | + | 1.34300i | ||||
\(957\) | 185230. | + | 232272.i | 0.202250 | + | 0.253614i | ||||
\(958\) | 1.44065e6 | − | 2.11304e6i | 1.56974 | − | 2.30238i | ||||
\(959\) | 280598. | + | 260357.i | 0.305104 | + | 0.283095i | ||||
\(960\) | 143478. | − | 1.91459e6i | 0.155684 | − | 2.07746i | ||||
\(961\) | 723530. | + | 1.84352e6i | 0.783447 | + | 1.99619i | ||||
\(962\) | 7228.38 | + | 31669.6i | 0.00781071 | + | 0.0342210i | ||||
\(963\) | 165387. | + | 51015.1i | 0.178340 | + | 0.0550106i | ||||
\(964\) | −1.17422e6 | − | 1.72226e6i | −1.26356 | − | 1.85330i | ||||
\(965\) | 223009. | − | 1.47957e6i | 0.239479 | − | 1.58884i | ||||
\(966\) | −2.33474e6 | − | 916318.i | −2.50198 | − | 0.981956i | ||||
\(967\) | 148359. | + | 71445.8i | 0.158657 | + | 0.0764054i | 0.511527 | − | 0.859267i | \(-0.329080\pi\) |
−0.352870 | + | 0.935672i | \(0.614794\pi\) | |||||||
\(968\) | 26716.1 | − | 55476.6i | 0.0285117 | − | 0.0592051i | ||||
\(969\) | −448846. | + | 1.14364e6i | −0.478024 | + | 1.21798i | ||||
\(970\) | 1.04000e6 | + | 156754.i | 1.10532 | + | 0.166600i | ||||
\(971\) | −286480. | + | 195319.i | −0.303848 | + | 0.207160i | −0.705639 | − | 0.708571i | \(-0.749340\pi\) |
0.401791 | + | 0.915731i | \(0.368388\pi\) | |||||||
\(972\) | −713223. | + | 2.31221e6i | −0.754906 | + | 2.44735i | ||||
\(973\) | 256742. | − | 58599.7i | 0.271188 | − | 0.0618970i | ||||
\(974\) | 1.61282e6 | − | 632985.i | 1.70007 | − | 0.667230i | ||||
\(975\) | −112209. | − | 8408.94i | −0.118038 | − | 0.00884569i | ||||
\(976\) | 133100. | − | 143448.i | 0.139727 | − | 0.150590i | ||||
\(977\) | −846109. | − | 576867.i | −0.886415 | − | 0.604348i | 0.0322084 | − | 0.999481i | \(-0.489746\pi\) |
−0.918624 | + | 0.395133i | \(0.870698\pi\) | |||||||
\(978\) | 1.85924e6 | − | 1.48269e6i | 1.94382 | − | 1.55015i | ||||
\(979\) | 855286. | + | 921779.i | 0.892372 | + | 0.961748i | ||||
\(980\) | −167301. | − | 1.10997e6i | −0.174200 | − | 1.15574i | ||||
\(981\) | 98994.0 | − | 433721.i | 0.102866 | − | 0.450684i | ||||
\(982\) | 152078. | − | 263407.i | 0.157704 | − | 0.273152i | ||||
\(983\) | −415484. | + | 239880.i | −0.429979 | + | 0.248249i | −0.699338 | − | 0.714791i | \(-0.746522\pi\) |
0.269358 | + | 0.963040i | \(0.413188\pi\) | |||||||
\(984\) | −832291. | + | 256728.i | −0.859577 | + | 0.265145i | ||||
\(985\) | 606457. | + | 483634.i | 0.625069 | + | 0.498476i | ||||
\(986\) | 29102.0 | + | 388339.i | 0.0299343 | + | 0.399445i | ||||
\(987\) | 760306. | − | 366144.i | 0.780467 | − | 0.375853i | ||||
\(988\) | − | 2.40848e6i | − | 2.46734i | ||||||
\(989\) | −1.88035e6 | − | 212139.i | −1.92241 | − | 0.216884i | ||||
\(990\) | 1.73014e6 | 1.76527 | ||||||||
\(991\) | −410713. | − | 852855.i | −0.418207 | − | 0.868416i | −0.998539 | − | 0.0540358i | \(-0.982791\pi\) |
0.580332 | − | 0.814380i | \(-0.302923\pi\) | |||||||
\(992\) | −1.11586e6 | + | 83622.4i | −1.13393 | + | 0.0849766i | ||||
\(993\) | 360851. | − | 452493.i | 0.365957 | − | 0.458895i | ||||
\(994\) | −110218. | − | 357318.i | −0.111553 | − | 0.361645i | ||||
\(995\) | 884844. | + | 1.53259e6i | 0.893759 | + | 1.54804i | ||||
\(996\) | 4.12100e6 | + | 2.37926e6i | 4.15417 | + | 2.39841i | ||||
\(997\) | 947028. | + | 216153.i | 0.952736 | + | 0.217456i | 0.670517 | − | 0.741894i | \(-0.266072\pi\) |
0.282219 | + | 0.959350i | \(0.408929\pi\) | |||||||
\(998\) | −2.38849e6 | + | 360007.i | −2.39807 | + | 0.361452i | ||||
\(999\) | 1582.71 | − | 1468.54i | 0.00158588 | − | 0.00147148i |
(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 | 43.5.h.a.29.2 | yes | 168 | |
43.3 | odd | 42 | inner | 43.5.h.a.3.2 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.3.2 | ✓ | 168 | 43.3 | odd | 42 | inner | |
43.5.h.a.29.2 | yes | 168 | 1.1 | even | 1 | trivial |