Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,5,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (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: | \(11.1639560131\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.13 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.5.j.a.31.13 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.43437 | − | 2.05063i | −0.858594 | − | 0.512657i | ||||
\(3\) | 0.424142 | − | 8.99000i | 0.0471269 | − | 0.998889i | ||||
\(4\) | 7.58985 | + | 14.0852i | 0.474366 | + | 0.880328i | ||||
\(5\) | 2.37776 | + | 13.4850i | 0.0951106 | + | 0.539399i | 0.994713 | + | 0.102690i | \(0.0327449\pi\) |
−0.899603 | + | 0.436709i | \(0.856144\pi\) | |||||||
\(6\) | −19.8918 | + | 30.0053i | −0.552550 | + | 0.833480i | ||||
\(7\) | 18.1869 | − | 21.6743i | 0.371162 | − | 0.442333i | −0.547842 | − | 0.836582i | \(-0.684551\pi\) |
0.919004 | + | 0.394248i | \(0.128995\pi\) | |||||||
\(8\) | 2.81722 | − | 63.9380i | 0.0440190 | − | 0.999031i | ||||
\(9\) | −80.6402 | − | 7.62607i | −0.995558 | − | 0.0941490i | ||||
\(10\) | 19.4865 | − | 51.1883i | 0.194865 | − | 0.511883i | ||||
\(11\) | 196.406 | + | 34.6317i | 1.62319 | + | 0.286212i | 0.909953 | − | 0.414711i | \(-0.136117\pi\) |
0.713237 | + | 0.700923i | \(0.247228\pi\) | |||||||
\(12\) | 129.846 | − | 62.2586i | 0.901705 | − | 0.432351i | ||||
\(13\) | 216.047 | + | 78.6348i | 1.27839 | + | 0.465295i | 0.889898 | − | 0.456159i | \(-0.150775\pi\) |
0.388489 | + | 0.921453i | \(0.372997\pi\) | |||||||
\(14\) | −106.907 | + | 37.1431i | −0.545442 | + | 0.189506i | ||||
\(15\) | 122.238 | − | 15.6566i | 0.543282 | − | 0.0695847i | ||||
\(16\) | −140.788 | + | 213.810i | −0.549954 | + | 0.835195i | ||||
\(17\) | −243.120 | − | 421.095i | −0.841244 | − | 1.45708i | −0.888844 | − | 0.458211i | \(-0.848490\pi\) |
0.0475996 | − | 0.998866i | \(-0.484843\pi\) | |||||||
\(18\) | 261.310 | + | 191.554i | 0.806514 | + | 0.591216i | ||||
\(19\) | 157.194 | + | 90.7557i | 0.435439 | + | 0.251401i | 0.701661 | − | 0.712511i | \(-0.252442\pi\) |
−0.266222 | + | 0.963912i | \(0.585775\pi\) | |||||||
\(20\) | −171.892 | + | 135.840i | −0.429731 | + | 0.339601i | ||||
\(21\) | −187.138 | − | 172.693i | −0.424350 | − | 0.391595i | ||||
\(22\) | −603.515 | − | 521.694i | −1.24693 | − | 1.07788i | ||||
\(23\) | −603.789 | − | 719.568i | −1.14138 | − | 1.36024i | −0.923194 | − | 0.384335i | \(-0.874431\pi\) |
−0.218185 | − | 0.975907i | \(-0.570014\pi\) | |||||||
\(24\) | −573.607 | − | 52.4455i | −0.995846 | − | 0.0910513i | ||||
\(25\) | 411.117 | − | 149.634i | 0.657788 | − | 0.239415i | ||||
\(26\) | −580.737 | − | 713.094i | −0.859078 | − | 1.05487i | ||||
\(27\) | −102.761 | + | 721.721i | −0.140962 | + | 0.990015i | ||||
\(28\) | 443.324 | + | 91.6623i | 0.565464 | + | 0.116916i | ||||
\(29\) | 60.8337 | − | 22.1417i | 0.0723350 | − | 0.0263278i | −0.305599 | − | 0.952160i | \(-0.598857\pi\) |
0.377934 | + | 0.925832i | \(0.376635\pi\) | |||||||
\(30\) | −451.918 | − | 196.895i | −0.502131 | − | 0.218772i | ||||
\(31\) | −40.4212 | − | 48.1721i | −0.0420616 | − | 0.0501271i | 0.744604 | − | 0.667507i | \(-0.232639\pi\) |
−0.786665 | + | 0.617380i | \(0.788194\pi\) | |||||||
\(32\) | 921.964 | − | 445.598i | 0.900356 | − | 0.435155i | ||||
\(33\) | 394.643 | − | 1751.00i | 0.362390 | − | 1.60790i | ||||
\(34\) | −28.5465 | + | 1944.75i | −0.0246942 | + | 1.68231i | ||||
\(35\) | 335.522 | + | 193.714i | 0.273895 | + | 0.158134i | ||||
\(36\) | −504.632 | − | 1193.72i | −0.389377 | − | 0.921079i | ||||
\(37\) | −907.999 | − | 1572.70i | −0.663257 | − | 1.14879i | −0.979755 | − | 0.200202i | \(-0.935840\pi\) |
0.316498 | − | 0.948593i | \(-0.397493\pi\) | |||||||
\(38\) | −353.755 | − | 634.035i | −0.244983 | − | 0.439082i | ||||
\(39\) | 798.562 | − | 1908.91i | 0.525024 | − | 1.25504i | ||||
\(40\) | 868.900 | − | 114.039i | 0.543063 | − | 0.0712746i | ||||
\(41\) | −1806.02 | − | 657.336i | −1.07437 | − | 0.391039i | −0.256561 | − | 0.966528i | \(-0.582589\pi\) |
−0.817809 | + | 0.575489i | \(0.804812\pi\) | |||||||
\(42\) | 288.573 | + | 976.845i | 0.163590 | + | 0.553767i | ||||
\(43\) | 1619.21 | + | 285.510i | 0.875722 | + | 0.154413i | 0.593401 | − | 0.804907i | \(-0.297785\pi\) |
0.282321 | + | 0.959320i | \(0.408896\pi\) | |||||||
\(44\) | 1002.90 | + | 3029.28i | 0.518025 | + | 1.56471i | ||||
\(45\) | −88.9061 | − | 1105.56i | −0.0439042 | − | 0.545957i | ||||
\(46\) | 598.072 | + | 3709.41i | 0.282643 | + | 1.75303i | ||||
\(47\) | 1082.88 | − | 1290.53i | 0.490213 | − | 0.584213i | −0.463059 | − | 0.886328i | \(-0.653248\pi\) |
0.953272 | + | 0.302115i | \(0.0976925\pi\) | |||||||
\(48\) | 1862.44 | + | 1356.37i | 0.808349 | + | 0.588704i | ||||
\(49\) | 277.917 | + | 1576.15i | 0.115750 | + | 0.656454i | ||||
\(50\) | −1718.78 | − | 329.148i | −0.687510 | − | 0.131659i | ||||
\(51\) | −3888.76 | + | 2007.04i | −1.49510 | + | 0.771642i | ||||
\(52\) | 532.177 | + | 3639.91i | 0.196811 | + | 1.34612i | ||||
\(53\) | −1419.98 | −0.505511 | −0.252755 | − | 0.967530i | \(-0.581337\pi\) | ||||
−0.252755 | + | 0.967530i | \(0.581337\pi\) | |||||||
\(54\) | 1832.90 | − | 2267.93i | 0.628567 | − | 0.777755i | ||||
\(55\) | 2730.87i | 0.902768i | ||||||||
\(56\) | −1334.58 | − | 1223.90i | −0.425566 | − | 0.390273i | ||||
\(57\) | 882.566 | − | 1374.68i | 0.271642 | − | 0.423108i | ||||
\(58\) | −254.330 | − | 48.7046i | −0.0756034 | − | 0.0144782i | ||||
\(59\) | 6562.66 | − | 1157.17i | 1.88528 | − | 0.332426i | 0.892371 | − | 0.451303i | \(-0.149041\pi\) |
0.992909 | + | 0.118878i | \(0.0379296\pi\) | |||||||
\(60\) | 1148.30 | + | 1602.93i | 0.318972 | + | 0.445257i | ||||
\(61\) | 2019.58 | + | 1694.63i | 0.542752 | + | 0.455423i | 0.872478 | − | 0.488654i | \(-0.162512\pi\) |
−0.329726 | + | 0.944077i | \(0.606956\pi\) | |||||||
\(62\) | 40.0384 | + | 248.330i | 0.0104158 | + | 0.0646019i | ||||
\(63\) | −1631.89 | + | 1609.13i | −0.411158 | + | 0.405424i | ||||
\(64\) | −4080.13 | − | 360.254i | −0.996125 | − | 0.0879527i | ||||
\(65\) | −546.679 | + | 3100.37i | −0.129391 | + | 0.733815i | ||||
\(66\) | −4946.00 | + | 5204.33i | −1.13545 | + | 1.19475i | ||||
\(67\) | 1785.40 | − | 4905.33i | 0.397727 | − | 1.09275i | −0.565662 | − | 0.824637i | \(-0.691379\pi\) |
0.963389 | − | 0.268108i | \(-0.0863985\pi\) | |||||||
\(68\) | 4085.99 | − | 6620.45i | 0.883649 | − | 1.43176i | ||||
\(69\) | −6725.01 | + | 5122.87i | −1.41252 | + | 1.07601i | ||||
\(70\) | −755.073 | − | 1353.32i | −0.154096 | − | 0.276187i | ||||
\(71\) | 3851.55 | − | 2223.70i | 0.764045 | − | 0.441122i | −0.0667009 | − | 0.997773i | \(-0.521247\pi\) |
0.830746 | + | 0.556651i | \(0.187914\pi\) | |||||||
\(72\) | −714.776 | + | 5134.49i | −0.137881 | + | 0.990449i | ||||
\(73\) | 139.494 | − | 241.611i | 0.0261764 | − | 0.0453389i | −0.852640 | − | 0.522498i | \(-0.825000\pi\) |
0.878817 | + | 0.477159i | \(0.158333\pi\) | |||||||
\(74\) | −106.615 | + | 7263.21i | −0.0194695 | + | 1.32637i | ||||
\(75\) | −1170.84 | − | 3759.41i | −0.208150 | − | 0.668340i | ||||
\(76\) | −85.2415 | + | 2902.93i | −0.0147579 | + | 0.502585i | ||||
\(77\) | 4322.64 | − | 3627.12i | 0.729067 | − | 0.611760i | ||||
\(78\) | −6657.03 | + | 4918.37i | −1.09419 | + | 0.808411i | ||||
\(79\) | 1839.51 | + | 5054.02i | 0.294747 | + | 0.809810i | 0.995356 | + | 0.0962646i | \(0.0306895\pi\) |
−0.700609 | + | 0.713545i | \(0.747088\pi\) | |||||||
\(80\) | −3217.98 | − | 1390.14i | −0.502809 | − | 0.217209i | ||||
\(81\) | 6444.69 | + | 1229.94i | 0.982272 | + | 0.187462i | ||||
\(82\) | 4854.58 | + | 5961.01i | 0.721978 | + | 0.886527i | ||||
\(83\) | 711.407 | + | 1954.57i | 0.103267 | + | 0.283724i | 0.980556 | − | 0.196238i | \(-0.0628726\pi\) |
−0.877289 | + | 0.479962i | \(0.840650\pi\) | |||||||
\(84\) | 1012.08 | − | 3946.61i | 0.143435 | − | 0.559326i | ||||
\(85\) | 5100.38 | − | 4279.72i | 0.705935 | − | 0.592349i | ||||
\(86\) | −4975.50 | − | 4300.95i | −0.672728 | − | 0.581523i | ||||
\(87\) | −173.251 | − | 556.286i | −0.0228896 | − | 0.0734953i | ||||
\(88\) | 2767.60 | − | 12460.2i | 0.357386 | − | 1.60902i | ||||
\(89\) | −3848.75 | + | 6666.23i | −0.485892 | + | 0.841589i | −0.999869 | − | 0.0162149i | \(-0.994838\pi\) |
0.513977 | + | 0.857804i | \(0.328172\pi\) | |||||||
\(90\) | −1961.76 | + | 3979.23i | −0.242193 | + | 0.491263i | ||||
\(91\) | 5633.59 | − | 3252.56i | 0.680304 | − | 0.392773i | ||||
\(92\) | 5552.62 | − | 13965.9i | 0.656028 | − | 1.65004i | ||||
\(93\) | −450.211 | + | 342.955i | −0.0520536 | + | 0.0396525i | ||||
\(94\) | −6365.41 | + | 2211.57i | −0.720395 | + | 0.250290i | ||||
\(95\) | −850.069 | + | 2335.55i | −0.0941905 | + | 0.258786i | ||||
\(96\) | −3614.89 | − | 8477.46i | −0.392240 | − | 0.919863i | ||||
\(97\) | 936.834 | − | 5313.05i | 0.0995679 | − | 0.564677i | −0.893684 | − | 0.448698i | \(-0.851888\pi\) |
0.993252 | − | 0.115980i | \(-0.0370008\pi\) | |||||||
\(98\) | 2277.62 | − | 5982.98i | 0.237153 | − | 0.622967i | ||||
\(99\) | −15574.1 | − | 4290.51i | −1.58903 | − | 0.437763i | ||||
\(100\) | 5227.96 | + | 4654.99i | 0.522796 | + | 0.465499i | ||||
\(101\) | −5771.45 | − | 4842.82i | −0.565773 | − | 0.474740i | 0.314467 | − | 0.949268i | \(-0.398174\pi\) |
−0.880240 | + | 0.474528i | \(0.842619\pi\) | |||||||
\(102\) | 17471.2 | + | 1081.48i | 1.67927 | + | 0.103949i | ||||
\(103\) | −4426.45 | + | 780.502i | −0.417235 | + | 0.0735698i | −0.378325 | − | 0.925673i | \(-0.623500\pi\) |
−0.0389104 | + | 0.999243i | \(0.512389\pi\) | |||||||
\(104\) | 5636.40 | − | 13592.1i | 0.521117 | − | 1.25667i | ||||
\(105\) | 1883.79 | − | 2934.18i | 0.170866 | − | 0.266139i | ||||
\(106\) | 4876.74 | + | 2911.85i | 0.434028 | + | 0.259154i | ||||
\(107\) | 8790.95i | 0.767836i | 0.923367 | + | 0.383918i | \(0.125425\pi\) | ||||
−0.923367 | + | 0.383918i | \(0.874575\pi\) | |||||||
\(108\) | −10945.6 | + | 4030.34i | −0.938405 | + | 0.345536i | ||||
\(109\) | −9628.38 | −0.810401 | −0.405201 | − | 0.914228i | \(-0.632798\pi\) | ||||
−0.405201 | + | 0.914228i | \(0.632798\pi\) | |||||||
\(110\) | 5600.01 | − | 9378.85i | 0.462811 | − | 0.775111i | ||||
\(111\) | −14523.7 | + | 7495.86i | −1.17878 | + | 0.608381i | ||||
\(112\) | 2073.68 | + | 6940.03i | 0.165312 | + | 0.553255i | ||||
\(113\) | 2008.84 | + | 11392.7i | 0.157321 | + | 0.892213i | 0.956633 | + | 0.291296i | \(0.0940866\pi\) |
−0.799312 | + | 0.600917i | \(0.794802\pi\) | |||||||
\(114\) | −5850.01 | + | 2911.34i | −0.450140 | + | 0.224018i | ||||
\(115\) | 8267.69 | − | 9853.04i | 0.625156 | − | 0.745032i | ||||
\(116\) | 773.589 | + | 688.806i | 0.0574903 | + | 0.0511895i | ||||
\(117\) | −16822.4 | − | 7988.72i | −1.22890 | − | 0.583587i | ||||
\(118\) | −24911.6 | − | 9483.40i | −1.78911 | − | 0.681083i | ||||
\(119\) | −13548.6 | − | 2388.98i | −0.956751 | − | 0.168701i | ||||
\(120\) | −656.677 | − | 7859.78i | −0.0456025 | − | 0.545818i | ||||
\(121\) | 23617.9 | + | 8596.22i | 1.61314 | + | 0.587133i | ||||
\(122\) | −3460.94 | − | 9961.39i | −0.232527 | − | 0.669268i | ||||
\(123\) | −6675.46 | + | 15957.3i | −0.441236 | + | 1.05475i | ||||
\(124\) | 371.725 | − | 934.961i | 0.0241757 | − | 0.0608065i | ||||
\(125\) | 7274.42 | + | 12599.7i | 0.465563 | + | 0.806378i | ||||
\(126\) | 8904.23 | − | 2179.95i | 0.560861 | − | 0.137311i | ||||
\(127\) | −13826.9 | − | 7982.94i | −0.857267 | − | 0.494944i | 0.00582889 | − | 0.999983i | \(-0.498145\pi\) |
−0.863096 | + | 0.505039i | \(0.831478\pi\) | |||||||
\(128\) | 13273.9 | + | 9604.07i | 0.810177 | + | 0.586186i | ||||
\(129\) | 3253.51 | − | 14435.6i | 0.195512 | − | 0.867472i | ||||
\(130\) | 8235.20 | − | 9526.79i | 0.487290 | − | 0.563715i | ||||
\(131\) | 1755.54 | + | 2092.17i | 0.102298 | + | 0.121914i | 0.814764 | − | 0.579792i | \(-0.196866\pi\) |
−0.712466 | + | 0.701706i | \(0.752422\pi\) | |||||||
\(132\) | 27658.6 | − | 7731.20i | 1.58738 | − | 0.443710i | ||||
\(133\) | 4825.93 | − | 1756.50i | 0.272821 | − | 0.0992988i | ||||
\(134\) | −16190.7 | + | 13185.6i | −0.901689 | + | 0.734327i | ||||
\(135\) | −9976.73 | + | 330.350i | −0.547420 | + | 0.0181262i | ||||
\(136\) | −27608.9 | + | 14358.2i | −1.49270 | + | 0.776289i | ||||
\(137\) | 10452.5 | − | 3804.39i | 0.556901 | − | 0.202695i | −0.0482090 | − | 0.998837i | \(-0.515351\pi\) |
0.605110 | + | 0.796142i | \(0.293129\pi\) | |||||||
\(138\) | 33601.3 | − | 3803.35i | 1.76440 | − | 0.199714i | ||||
\(139\) | −5530.76 | − | 6591.30i | −0.286256 | − | 0.341147i | 0.603684 | − | 0.797224i | \(-0.293699\pi\) |
−0.889941 | + | 0.456076i | \(0.849254\pi\) | |||||||
\(140\) | −181.944 | + | 6196.16i | −0.00928284 | + | 0.316131i | ||||
\(141\) | −11142.5 | − | 10282.5i | −0.560462 | − | 0.517201i | ||||
\(142\) | −17787.6 | − | 261.101i | −0.882149 | − | 0.0129489i | ||||
\(143\) | 39709.8 | + | 22926.4i | 1.94189 | + | 1.12115i | ||||
\(144\) | 12983.7 | − | 16168.0i | 0.626144 | − | 0.779707i | ||||
\(145\) | 443.228 | + | 767.693i | 0.0210810 | + | 0.0365133i | ||||
\(146\) | −974.530 | + | 543.732i | −0.0457182 | + | 0.0255082i | ||||
\(147\) | 14287.4 | − | 1829.96i | 0.661179 | − | 0.0846853i | ||||
\(148\) | 15260.3 | − | 24725.9i | 0.696690 | − | 1.12883i | ||||
\(149\) | −19770.7 | − | 7195.96i | −0.890533 | − | 0.324128i | −0.144081 | − | 0.989566i | \(-0.546022\pi\) |
−0.746453 | + | 0.665438i | \(0.768245\pi\) | |||||||
\(150\) | −3688.04 | + | 15312.2i | −0.163913 | + | 0.680541i | ||||
\(151\) | −509.823 | − | 89.8955i | −0.0223597 | − | 0.00394261i | 0.162457 | − | 0.986716i | \(-0.448058\pi\) |
−0.184817 | + | 0.982773i | \(0.559169\pi\) | |||||||
\(152\) | 6245.58 | − | 9794.96i | 0.270325 | − | 0.423951i | ||||
\(153\) | 16393.9 | + | 35811.3i | 0.700325 | + | 1.52981i | ||||
\(154\) | −22283.4 | + | 3592.78i | −0.939595 | + | 0.151492i | ||||
\(155\) | 553.487 | − | 659.620i | 0.0230380 | − | 0.0274556i | ||||
\(156\) | 32948.5 | − | 3240.43i | 1.35390 | − | 0.133154i | ||||
\(157\) | 5723.35 | + | 32458.7i | 0.232194 | + | 1.31684i | 0.848444 | + | 0.529286i | \(0.177540\pi\) |
−0.616250 | + | 0.787551i | \(0.711349\pi\) | |||||||
\(158\) | 4046.34 | − | 21129.6i | 0.162087 | − | 0.846401i | ||||
\(159\) | −602.273 | + | 12765.6i | −0.0238231 | + | 0.504949i | ||||
\(160\) | 8201.09 | + | 11373.1i | 0.320355 | + | 0.444263i | ||||
\(161\) | −26577.2 | −1.02532 | ||||||||
\(162\) | −19611.3 | − | 17439.7i | −0.747269 | − | 0.664522i | ||||
\(163\) | 1793.68i | 0.0675103i | 0.999430 | + | 0.0337551i | \(0.0107466\pi\) | ||||
−0.999430 | + | 0.0337551i | \(0.989253\pi\) | |||||||
\(164\) | −4448.65 | − | 30427.3i | −0.165402 | − | 1.13129i | ||||
\(165\) | 24550.6 | + | 1158.28i | 0.901765 | + | 0.0425446i | ||||
\(166\) | 1564.87 | − | 8171.57i | 0.0567886 | − | 0.296544i | ||||
\(167\) | −6064.38 | + | 1069.31i | −0.217447 | + | 0.0383418i | −0.281310 | − | 0.959617i | \(-0.590769\pi\) |
0.0638632 | + | 0.997959i | \(0.479658\pi\) | |||||||
\(168\) | −11568.9 | + | 11478.7i | −0.409895 | + | 0.406701i | ||||
\(169\) | 18614.1 | + | 15619.1i | 0.651730 | + | 0.546866i | ||||
\(170\) | −26292.7 | + | 4239.20i | −0.909783 | + | 0.146685i | ||||
\(171\) | −11984.0 | − | 8517.33i | −0.409836 | − | 0.291280i | ||||
\(172\) | 8268.08 | + | 24974.0i | 0.279478 | + | 0.844171i | ||||
\(173\) | −7518.91 | + | 42641.9i | −0.251225 | + | 1.42477i | 0.554355 | + | 0.832280i | \(0.312965\pi\) |
−0.805580 | + | 0.592487i | \(0.798146\pi\) | |||||||
\(174\) | −545.726 | + | 2265.77i | −0.0180250 | + | 0.0748371i | ||||
\(175\) | 4233.73 | − | 11632.1i | 0.138244 | − | 0.379823i | ||||
\(176\) | −35056.3 | + | 37117.8i | −1.13172 | + | 1.19828i | ||||
\(177\) | −7619.49 | − | 59489.1i | −0.243209 | − | 1.89885i | ||||
\(178\) | 26888.0 | − | 15002.0i | 0.848630 | − | 0.473487i | ||||
\(179\) | −31424.9 | + | 18143.2i | −0.980772 | + | 0.566249i | −0.902503 | − | 0.430683i | \(-0.858273\pi\) |
−0.0782687 | + | 0.996932i | \(0.524939\pi\) | |||||||
\(180\) | 14897.4 | − | 9643.33i | 0.459795 | − | 0.297634i | ||||
\(181\) | −9591.69 | + | 16613.3i | −0.292778 | + | 0.507106i | −0.974465 | − | 0.224537i | \(-0.927913\pi\) |
0.681688 | + | 0.731643i | \(0.261246\pi\) | |||||||
\(182\) | −26017.7 | − | 381.908i | −0.785462 | − | 0.0115296i | ||||
\(183\) | 16091.3 | − | 17437.3i | 0.480495 | − | 0.520686i | ||||
\(184\) | −47708.7 | + | 36577.9i | −1.40917 | + | 1.08040i | ||||
\(185\) | 19048.8 | − | 15983.8i | 0.556576 | − | 0.467023i | ||||
\(186\) | 2249.47 | − | 254.618i | 0.0650210 | − | 0.00735977i | ||||
\(187\) | −33166.9 | − | 91125.3i | −0.948466 | − | 2.60589i | ||||
\(188\) | 26396.3 | + | 5457.74i | 0.746839 | + | 0.154418i | ||||
\(189\) | 13773.9 | + | 15353.2i | 0.385597 | + | 0.429808i | ||||
\(190\) | 7708.79 | − | 6277.96i | 0.213540 | − | 0.173905i | ||||
\(191\) | 2067.01 | + | 5679.05i | 0.0566598 | + | 0.155671i | 0.964793 | − | 0.263009i | \(-0.0847149\pi\) |
−0.908134 | + | 0.418681i | \(0.862493\pi\) | |||||||
\(192\) | −4969.24 | + | 36527.5i | −0.134799 | + | 0.990873i | ||||
\(193\) | 11550.7 | − | 9692.18i | 0.310094 | − | 0.260200i | −0.474437 | − | 0.880290i | \(-0.657348\pi\) |
0.784531 | + | 0.620090i | \(0.212904\pi\) | |||||||
\(194\) | −14112.5 | + | 16325.9i | −0.374974 | + | 0.433784i | ||||
\(195\) | 27640.4 | + | 6229.64i | 0.726902 | + | 0.163830i | ||||
\(196\) | −20091.0 | + | 15877.2i | −0.522986 | + | 0.413297i | ||||
\(197\) | −34441.2 | + | 59653.9i | −0.887453 | + | 1.53711i | −0.0445775 | + | 0.999006i | \(0.514194\pi\) |
−0.842876 | + | 0.538108i | \(0.819139\pi\) | |||||||
\(198\) | 44689.1 | + | 46671.9i | 1.13991 | + | 1.19049i | ||||
\(199\) | 21334.4 | − | 12317.4i | 0.538734 | − | 0.311038i | −0.205832 | − | 0.978587i | \(-0.565990\pi\) |
0.744566 | + | 0.667549i | \(0.232657\pi\) | |||||||
\(200\) | −8409.12 | − | 26707.6i | −0.210228 | − | 0.667689i | ||||
\(201\) | −43341.7 | − | 18131.3i | −1.07279 | − | 0.448783i | ||||
\(202\) | 9890.50 | + | 28467.2i | 0.242390 | + | 0.697656i | ||||
\(203\) | 626.472 | − | 1721.22i | 0.0152023 | − | 0.0417680i | ||||
\(204\) | −57784.8 | − | 39541.1i | −1.38852 | − | 0.950141i | ||||
\(205\) | 4569.88 | − | 25917.1i | 0.108742 | − | 0.616706i | ||||
\(206\) | 16802.6 | + | 6396.46i | 0.395952 | + | 0.150732i | ||||
\(207\) | 43202.2 | + | 62630.7i | 1.00824 | + | 1.46166i | ||||
\(208\) | −47229.9 | + | 35122.2i | −1.09167 | + | 0.811811i | ||||
\(209\) | 27730.7 | + | 23268.8i | 0.634846 | + | 0.532699i | ||||
\(210\) | −12486.6 | + | 6214.11i | −0.283142 | + | 0.140909i | ||||
\(211\) | 30505.2 | − | 5378.89i | 0.685187 | − | 0.120817i | 0.179791 | − | 0.983705i | \(-0.442458\pi\) |
0.505395 | + | 0.862888i | \(0.331347\pi\) | |||||||
\(212\) | −10777.4 | − | 20000.8i | −0.239797 | − | 0.445015i | ||||
\(213\) | −18357.4 | − | 35568.6i | −0.404625 | − | 0.783985i | ||||
\(214\) | 18027.0 | − | 30191.4i | 0.393636 | − | 0.659259i | ||||
\(215\) | 22513.9i | 0.487050i | ||||||||
\(216\) | 45855.9 | + | 8603.59i | 0.982850 | + | 0.184405i | ||||
\(217\) | −1779.23 | −0.0377845 | ||||||||
\(218\) | 33067.5 | + | 19744.2i | 0.695805 | + | 0.415458i | ||||
\(219\) | −2112.92 | − | 1356.53i | −0.0440549 | − | 0.0282840i | ||||
\(220\) | −38465.0 | + | 20726.9i | −0.794732 | + | 0.428242i | ||||
\(221\) | −19412.6 | − | 110094.i | −0.397465 | − | 2.25414i | ||||
\(222\) | 65251.0 | + | 4039.10i | 1.32398 | + | 0.0819556i | ||||
\(223\) | −30754.3 | + | 36651.5i | −0.618438 | + | 0.737025i | −0.980801 | − | 0.195012i | \(-0.937526\pi\) |
0.362363 | + | 0.932037i | \(0.381970\pi\) | |||||||
\(224\) | 7109.64 | − | 28087.0i | 0.141694 | − | 0.559770i | ||||
\(225\) | −34293.7 | + | 8931.34i | −0.677406 | + | 0.176422i | ||||
\(226\) | 16463.0 | − | 43246.1i | 0.322324 | − | 0.846700i | ||||
\(227\) | 60804.8 | + | 10721.5i | 1.18001 | + | 0.208068i | 0.729041 | − | 0.684470i | \(-0.239967\pi\) |
0.450971 | + | 0.892538i | \(0.351078\pi\) | |||||||
\(228\) | 26061.2 | + | 1997.58i | 0.501331 | + | 0.0384267i | ||||
\(229\) | 35242.4 | + | 12827.2i | 0.672038 | + | 0.244602i | 0.655425 | − | 0.755260i | \(-0.272489\pi\) |
0.0166130 | + | 0.999862i | \(0.494712\pi\) | |||||||
\(230\) | −48599.2 | + | 16885.1i | −0.918700 | + | 0.319189i | ||||
\(231\) | −30774.4 | − | 40398.9i | −0.576721 | − | 0.757087i | ||||
\(232\) | −1244.31 | − | 3951.96i | −0.0231181 | − | 0.0734238i | ||||
\(233\) | 6635.64 | + | 11493.3i | 0.122228 | + | 0.211705i | 0.920646 | − | 0.390398i | \(-0.127663\pi\) |
−0.798418 | + | 0.602104i | \(0.794329\pi\) | |||||||
\(234\) | 41392.6 | + | 61932.8i | 0.755947 | + | 1.13107i | ||||
\(235\) | 19977.5 | + | 11534.0i | 0.361748 | + | 0.208855i | ||||
\(236\) | 66108.7 | + | 83653.9i | 1.18696 | + | 1.50197i | ||||
\(237\) | 46215.9 | − | 14393.6i | 0.822801 | − | 0.256255i | ||||
\(238\) | 41631.9 | + | 35987.7i | 0.734974 | + | 0.635331i | ||||
\(239\) | 37046.1 | + | 44149.8i | 0.648554 | + | 0.772917i | 0.985695 | − | 0.168537i | \(-0.0539044\pi\) |
−0.337141 | + | 0.941454i | \(0.609460\pi\) | |||||||
\(240\) | −13862.2 | + | 28340.0i | −0.240663 | + | 0.492014i | ||||
\(241\) | 5284.62 | − | 1923.44i | 0.0909870 | − | 0.0331166i | −0.296126 | − | 0.955149i | \(-0.595695\pi\) |
0.387113 | + | 0.922032i | \(0.373472\pi\) | |||||||
\(242\) | −63485.1 | − | 77954.2i | −1.08403 | − | 1.33109i | ||||
\(243\) | 13790.6 | − | 57416.1i | 0.233545 | − | 0.972346i | ||||
\(244\) | −8540.95 | + | 41308.2i | −0.143459 | + | 0.693836i | ||||
\(245\) | −20593.4 | + | 7495.40i | −0.343081 | + | 0.124871i | ||||
\(246\) | 55648.5 | − | 41114.4i | 0.919566 | − | 0.679397i | ||||
\(247\) | 26824.7 | + | 31968.4i | 0.439684 | + | 0.523995i | ||||
\(248\) | −3193.90 | + | 2448.74i | −0.0519300 | + | 0.0398143i | ||||
\(249\) | 17873.4 | − | 5566.53i | 0.288275 | − | 0.0897813i | ||||
\(250\) | 854.146 | − | 58189.1i | 0.0136663 | − | 0.931025i | ||||
\(251\) | −59926.3 | − | 34598.5i | −0.951196 | − | 0.549173i | −0.0577437 | − | 0.998331i | \(-0.518391\pi\) |
−0.893452 | + | 0.449158i | \(0.851724\pi\) | |||||||
\(252\) | −35050.7 | − | 10772.5i | −0.551945 | − | 0.169635i | ||||
\(253\) | −93668.0 | − | 162238.i | −1.46336 | − | 2.53461i | ||||
\(254\) | 31116.6 | + | 55770.2i | 0.482308 | + | 0.864439i | ||||
\(255\) | −36311.4 | − | 47667.6i | −0.558423 | − | 0.733066i | ||||
\(256\) | −25893.3 | − | 60203.9i | −0.395100 | − | 0.918638i | ||||
\(257\) | −66528.5 | − | 24214.4i | −1.00726 | − | 0.366613i | −0.214880 | − | 0.976640i | \(-0.568936\pi\) |
−0.792380 | + | 0.610028i | \(0.791158\pi\) | |||||||
\(258\) | −40775.8 | + | 42905.5i | −0.612581 | + | 0.644575i | ||||
\(259\) | −50600.9 | − | 8922.31i | −0.754326 | − | 0.133008i | ||||
\(260\) | −47818.7 | + | 15831.2i | −0.707377 | + | 0.234190i | ||||
\(261\) | −5074.50 | + | 1321.59i | −0.0744924 | + | 0.0194006i | ||||
\(262\) | −1738.92 | − | 10785.3i | −0.0253324 | − | 0.157119i | ||||
\(263\) | −17009.7 | + | 20271.4i | −0.245915 | + | 0.293070i | −0.874856 | − | 0.484383i | \(-0.839044\pi\) |
0.628941 | + | 0.777453i | \(0.283489\pi\) | |||||||
\(264\) | −110844. | − | 30165.6i | −1.59039 | − | 0.432817i | ||||
\(265\) | −3376.38 | − | 19148.4i | −0.0480794 | − | 0.272672i | ||||
\(266\) | −20176.0 | − | 3863.73i | −0.285149 | − | 0.0546064i | ||||
\(267\) | 58297.0 | + | 37427.7i | 0.817756 | + | 0.525013i | ||||
\(268\) | 82643.7 | − | 12083.0i | 1.15064 | − | 0.168231i | ||||
\(269\) | 138356. | 1.91202 | 0.956009 | − | 0.293336i | \(-0.0947655\pi\) | ||||
0.956009 | + | 0.293336i | \(0.0947655\pi\) | |||||||
\(270\) | 34941.2 | + | 19324.0i | 0.479304 | + | 0.265076i | ||||
\(271\) | − | 78211.9i | − | 1.06496i | −0.846442 | − | 0.532481i | \(-0.821260\pi\) | ||
0.846442 | − | 0.532481i | \(-0.178740\pi\) | |||||||
\(272\) | 124263. | + | 7303.98i | 1.67959 | + | 0.0987238i | ||||
\(273\) | −26851.0 | − | 52025.6i | −0.360276 | − | 0.698058i | ||||
\(274\) | −43699.1 | − | 8368.44i | −0.582065 | − | 0.111466i | ||||
\(275\) | 85928.0 | − | 15151.4i | 1.13624 | − | 0.200349i | ||||
\(276\) | −123199. | − | 55841.6i | −1.61729 | − | 0.733061i | ||||
\(277\) | −47271.7 | − | 39665.7i | −0.616087 | − | 0.516958i | 0.280484 | − | 0.959859i | \(-0.409505\pi\) |
−0.896571 | + | 0.442900i | \(0.853950\pi\) | |||||||
\(278\) | 5478.39 | + | 33978.5i | 0.0708864 | + | 0.439658i | ||||
\(279\) | 2892.21 | + | 4192.86i | 0.0371553 | + | 0.0538645i | ||||
\(280\) | 13330.9 | − | 20906.8i | 0.170037 | − | 0.266669i | ||||
\(281\) | 18443.3 | − | 104597.i | 0.233575 | − | 1.32467i | −0.612020 | − | 0.790842i | \(-0.709643\pi\) |
0.845595 | − | 0.533825i | \(-0.179246\pi\) | |||||||
\(282\) | 17182.2 | + | 58163.0i | 0.216062 | + | 0.731390i | ||||
\(283\) | −20199.3 | + | 55497.2i | −0.252211 | + | 0.692944i | 0.747381 | + | 0.664395i | \(0.231311\pi\) |
−0.999592 | + | 0.0285488i | \(0.990911\pi\) | |||||||
\(284\) | 60554.0 | + | 37372.6i | 0.750769 | + | 0.463358i | ||||
\(285\) | 20636.0 | + | 8632.72i | 0.254060 | + | 0.106282i | ||||
\(286\) | −89364.6 | − | 160168.i | −1.09253 | − | 1.95814i | ||||
\(287\) | −47093.2 | + | 27189.3i | −0.571734 | + | 0.330091i | ||||
\(288\) | −77745.6 | + | 28902.2i | −0.937326 | + | 0.348454i | ||||
\(289\) | −76453.7 | + | 132422.i | −0.915383 | + | 1.58549i | ||||
\(290\) | 52.0428 | − | 3545.44i | 0.000618820 | − | 0.0421574i | ||||
\(291\) | −47367.0 | − | 10675.6i | −0.559358 | − | 0.126069i | ||||
\(292\) | 4461.89 | + | 131.019i | 0.0523303 | + | 0.00153662i | ||||
\(293\) | 27607.4 | − | 23165.3i | 0.321581 | − | 0.269838i | −0.467678 | − | 0.883899i | \(-0.654909\pi\) |
0.789259 | + | 0.614061i | \(0.210465\pi\) | |||||||
\(294\) | −52820.9 | − | 23013.4i | −0.611099 | − | 0.266248i | ||||
\(295\) | 31208.9 | + | 85745.8i | 0.358620 | + | 0.985300i | ||||
\(296\) | −103113. | + | 53625.0i | −1.17688 | + | 0.612045i | ||||
\(297\) | −45177.3 | + | 138192.i | −0.512162 | + | 1.56664i | ||||
\(298\) | 53143.9 | + | 65256.0i | 0.598440 | + | 0.734832i | ||||
\(299\) | −73864.0 | − | 202940.i | −0.826210 | − | 2.26999i | ||||
\(300\) | 44065.7 | − | 45025.0i | 0.489619 | − | 0.500277i | ||||
\(301\) | 35636.7 | − | 29902.7i | 0.393337 | − | 0.330049i | ||||
\(302\) | 1566.58 | + | 1354.19i | 0.0171767 | + | 0.0148479i | ||||
\(303\) | −45984.9 | + | 49831.3i | −0.500876 | + | 0.542772i | ||||
\(304\) | −41535.5 | + | 20832.2i | −0.449440 | + | 0.225417i | ||||
\(305\) | −18049.9 | + | 31263.4i | −0.194033 | + | 0.336075i | ||||
\(306\) | 17132.8 | − | 156607.i | 0.182972 | − | 1.67251i | ||||
\(307\) | 89329.5 | − | 51574.4i | 0.947803 | − | 0.547214i | 0.0554053 | − | 0.998464i | \(-0.482355\pi\) |
0.892398 | + | 0.451250i | \(0.149022\pi\) | |||||||
\(308\) | 83897.1 | + | 33356.1i | 0.884393 | + | 0.351620i | ||||
\(309\) | 5139.28 | + | 40124.8i | 0.0538251 | + | 0.420239i | ||||
\(310\) | −3253.52 | + | 1130.39i | −0.0338555 | + | 0.0117626i | ||||
\(311\) | −19285.2 | + | 52985.8i | −0.199390 | + | 0.547821i | −0.998581 | − | 0.0532572i | \(-0.983040\pi\) |
0.799190 | + | 0.601078i | \(0.205262\pi\) | |||||||
\(312\) | −119802. | − | 56436.2i | −1.23071 | − | 0.579761i | ||||
\(313\) | −9636.74 | + | 54652.6i | −0.0983652 | + | 0.557856i | 0.895299 | + | 0.445466i | \(0.146962\pi\) |
−0.993664 | + | 0.112391i | \(0.964149\pi\) | |||||||
\(314\) | 46904.6 | − | 123212.i | 0.475725 | − | 1.24966i | ||||
\(315\) | −25579.3 | − | 18179.8i | −0.257791 | − | 0.183218i | ||||
\(316\) | −57225.5 | + | 64269.3i | −0.573081 | + | 0.643620i | ||||
\(317\) | 104558. | + | 87734.4i | 1.04049 | + | 0.873075i | 0.992062 | − | 0.125752i | \(-0.0401344\pi\) |
0.0484282 | + | 0.998827i | \(0.484579\pi\) | |||||||
\(318\) | 28246.0 | − | 42606.9i | 0.279320 | − | 0.421333i | ||||
\(319\) | 12714.9 | − | 2241.98i | 0.124949 | − | 0.0220318i | ||||
\(320\) | −4843.56 | − | 55877.0i | −0.0473004 | − | 0.545674i | ||||
\(321\) | 79030.7 | + | 3728.61i | 0.766983 | + | 0.0361857i | ||||
\(322\) | 91276.1 | + | 54500.0i | 0.880330 | + | 0.525635i | ||||
\(323\) | − | 88257.9i | − | 0.845958i | ||||||
\(324\) | 31590.3 | + | 100110.i | 0.300928 | + | 0.953647i | ||||
\(325\) | 100587. | 0.952306 | ||||||||
\(326\) | 3678.17 | − | 6160.17i | 0.0346096 | − | 0.0579639i | ||||
\(327\) | −4083.80 | + | 86559.1i | −0.0381917 | + | 0.809501i | ||||
\(328\) | −47116.7 | + | 113621.i | −0.437952 | + | 1.05612i | ||||
\(329\) | −8277.04 | − | 46941.4i | −0.0764686 | − | 0.433675i | ||||
\(330\) | −81940.6 | − | 54322.0i | −0.752439 | − | 0.498825i | ||||
\(331\) | −52482.6 | + | 62546.3i | −0.479026 | + | 0.570881i | −0.950391 | − | 0.311057i | \(-0.899317\pi\) |
0.471365 | + | 0.881938i | \(0.343761\pi\) | |||||||
\(332\) | −22131.2 | + | 24855.3i | −0.200784 | + | 0.225498i | ||||
\(333\) | 61227.7 | + | 133747.i | 0.552153 | + | 1.20614i | ||||
\(334\) | 23020.1 | + | 8763.36i | 0.206355 | + | 0.0785557i | ||||
\(335\) | 70393.5 | + | 12412.3i | 0.627254 | + | 0.110602i | ||||
\(336\) | 63270.4 | − | 15698.8i | 0.560431 | − | 0.139055i | ||||
\(337\) | 56879.9 | + | 20702.6i | 0.500840 | + | 0.182291i | 0.580072 | − | 0.814565i | \(-0.303024\pi\) |
−0.0792317 | + | 0.996856i | \(0.525247\pi\) | |||||||
\(338\) | −31898.8 | − | 91812.2i | −0.279216 | − | 0.803650i | ||||
\(339\) | 103272. | − | 13227.3i | 0.898636 | − | 0.115099i | ||||
\(340\) | 98992.1 | + | 39357.6i | 0.856333 | + | 0.340464i | ||||
\(341\) | −6270.68 | − | 10861.1i | −0.0539270 | − | 0.0934043i | ||||
\(342\) | 23691.7 | + | 53826.4i | 0.202555 | + | 0.460197i | ||||
\(343\) | 98048.4 | + | 56608.3i | 0.833398 | + | 0.481163i | ||||
\(344\) | 22816.6 | − | 102725.i | 0.192812 | − | 0.868076i | ||||
\(345\) | −85072.2 | − | 78505.6i | −0.714742 | − | 0.659572i | ||||
\(346\) | 113265. | − | 131030.i | 0.946117 | − | 1.09450i | ||||
\(347\) | −42124.4 | − | 50201.9i | −0.349844 | − | 0.416928i | 0.562212 | − | 0.826993i | \(-0.309950\pi\) |
−0.912056 | + | 0.410065i | \(0.865506\pi\) | |||||||
\(348\) | 6520.48 | − | 6662.42i | 0.0538420 | − | 0.0550140i | ||||
\(349\) | −118536. | + | 43143.4i | −0.973190 | + | 0.354212i | −0.779189 | − | 0.626789i | \(-0.784369\pi\) |
−0.194001 | + | 0.981001i | \(0.562147\pi\) | |||||||
\(350\) | −38393.3 | + | 31267.1i | −0.313414 | + | 0.255242i | ||||
\(351\) | −78953.7 | + | 147845.i | −0.640853 | + | 1.20003i | ||||
\(352\) | 196511. | − | 55589.0i | 1.58599 | − | 0.448646i | ||||
\(353\) | −140849. | + | 51264.8i | −1.13033 | + | 0.411405i | −0.838411 | − | 0.545038i | \(-0.816515\pi\) |
−0.291916 | + | 0.956444i | \(0.594293\pi\) | |||||||
\(354\) | −95821.8 | + | 219933.i | −0.764642 | + | 1.75502i | ||||
\(355\) | 39144.5 | + | 46650.7i | 0.310609 | + | 0.370170i | ||||
\(356\) | −123107. | − | 3614.90i | −0.971365 | − | 0.0285231i | ||||
\(357\) | −27223.4 | + | 120788.i | −0.213602 | + | 0.947738i | ||||
\(358\) | 145130. | + | 2130.33i | 1.13238 | + | 0.0166219i | ||||
\(359\) | −28666.0 | − | 16550.3i | −0.222422 | − | 0.128415i | 0.384649 | − | 0.923063i | \(-0.374322\pi\) |
−0.607071 | + | 0.794647i | \(0.707656\pi\) | |||||||
\(360\) | −70938.0 | + | 2569.86i | −0.547361 | + | 0.0198292i | ||||
\(361\) | −48687.3 | − | 84328.9i | −0.373595 | − | 0.647086i | ||||
\(362\) | 67009.1 | − | 37387.3i | 0.511348 | − | 0.285303i | ||||
\(363\) | 87297.4 | − | 208679.i | 0.662503 | − | 1.58367i | ||||
\(364\) | 88571.2 | + | 54664.1i | 0.668482 | + | 0.412572i | ||||
\(365\) | 3589.80 | + | 1306.58i | 0.0269454 | + | 0.00980733i | ||||
\(366\) | −91020.8 | + | 26888.8i | −0.679483 | + | 0.200729i | ||||
\(367\) | −163836. | − | 28888.6i | −1.21640 | − | 0.214484i | −0.471624 | − | 0.881800i | \(-0.656332\pi\) |
−0.744775 | + | 0.667315i | \(0.767443\pi\) | |||||||
\(368\) | 238857. | − | 27789.3i | 1.76377 | − | 0.205202i | ||||
\(369\) | 140625. | + | 66780.5i | 1.03278 | + | 0.490453i | ||||
\(370\) | −98197.6 | + | 15832.5i | −0.717295 | + | 0.115650i | ||||
\(371\) | −25825.1 | + | 30777.1i | −0.187626 | + | 0.223604i | ||||
\(372\) | −8247.64 | − | 3738.37i | −0.0595997 | − | 0.0270144i | ||||
\(373\) | 41314.5 | + | 234306.i | 0.296951 | + | 1.68409i | 0.659165 | + | 0.751998i | \(0.270910\pi\) |
−0.362214 | + | 0.932095i | \(0.617979\pi\) | |||||||
\(374\) | −72956.5 | + | 380971.i | −0.521580 | + | 2.72364i | ||||
\(375\) | 116356. | − | 60053.0i | 0.827423 | − | 0.427043i | ||||
\(376\) | −79463.0 | − | 72872.9i | −0.562068 | − | 0.515454i | ||||
\(377\) | 14884.1 | 0.104722 | ||||||||
\(378\) | −15821.1 | − | 80973.6i | −0.110727 | − | 0.566709i | ||||
\(379\) | 232834.i | 1.62094i | 0.585778 | + | 0.810471i | \(0.300789\pi\) | ||||
−0.585778 | + | 0.810471i | \(0.699211\pi\) | |||||||
\(380\) | −39348.6 | + | 5753.01i | −0.272497 | + | 0.0398408i | ||||
\(381\) | −77631.2 | + | 120918.i | −0.534794 | + | 0.832990i | ||||
\(382\) | 4546.75 | − | 23742.6i | 0.0311583 | − | 0.162706i | ||||
\(383\) | −87582.3 | + | 15443.1i | −0.597061 | + | 0.105278i | −0.464008 | − | 0.885831i | \(-0.653589\pi\) |
−0.133053 | + | 0.991109i | \(0.542478\pi\) | |||||||
\(384\) | 91970.6 | − | 115259.i | 0.623716 | − | 0.781651i | ||||
\(385\) | 59189.9 | + | 49666.2i | 0.399324 | + | 0.335073i | ||||
\(386\) | −59544.5 | + | 9600.41i | −0.399638 | + | 0.0644340i | ||||
\(387\) | −128396. | − | 35371.8i | −0.857294 | − | 0.236176i | ||||
\(388\) | 81946.1 | − | 27129.7i | 0.544333 | − | 0.180211i | ||||
\(389\) | −25690.1 | + | 145696.i | −0.169772 | + | 0.962825i | 0.774235 | + | 0.632899i | \(0.218135\pi\) |
−0.944007 | + | 0.329926i | \(0.892976\pi\) | |||||||
\(390\) | −82152.9 | − | 78075.2i | −0.540125 | − | 0.513315i | ||||
\(391\) | −156214. | + | 429194.i | −1.02180 | + | 2.80737i | ||||
\(392\) | 101558. | − | 13329.1i | 0.660913 | − | 0.0867419i | ||||
\(393\) | 19553.2 | − | 14894.9i | 0.126600 | − | 0.0964392i | ||||
\(394\) | 240612. | − | 134248.i | 1.54997 | − | 0.864797i | ||||
\(395\) | −63779.4 | + | 36823.1i | −0.408777 | + | 0.236007i | ||||
\(396\) | −57772.3 | − | 251930.i | −0.368408 | − | 1.60653i | ||||
\(397\) | 62900.0 | − | 108946.i | 0.399089 | − | 0.691243i | −0.594525 | − | 0.804077i | \(-0.702660\pi\) |
0.993614 | + | 0.112835i | \(0.0359931\pi\) | |||||||
\(398\) | −98528.8 | − | 1446.28i | −0.622009 | − | 0.00913035i | ||||
\(399\) | −13744.0 | − | 44130.2i | −0.0863313 | − | 0.277198i | ||||
\(400\) | −25887.2 | + | 108968.i | −0.161795 | + | 0.681048i | ||||
\(401\) | 113778. | − | 95471.2i | 0.707571 | − | 0.593723i | −0.216345 | − | 0.976317i | \(-0.569414\pi\) |
0.923917 | + | 0.382594i | \(0.124969\pi\) | |||||||
\(402\) | 111671. | + | 151147.i | 0.691017 | + | 0.935294i | ||||
\(403\) | −4944.89 | − | 13586.0i | −0.0304471 | − | 0.0836528i | ||||
\(404\) | 24407.9 | − | 118049.i | 0.149544 | − | 0.723266i | ||||
\(405\) | −1261.70 | + | 89830.9i | −0.00769213 | + | 0.547666i | ||||
\(406\) | −5681.12 | + | 4626.64i | −0.0344653 | + | 0.0280682i | ||||
\(407\) | −123871. | − | 340333.i | −0.747793 | − | 2.05454i | ||||
\(408\) | 117371. | + | 254294.i | 0.705081 | + | 1.52762i | ||||
\(409\) | 63145.2 | − | 52985.2i | 0.377480 | − | 0.316743i | −0.434232 | − | 0.900801i | \(-0.642980\pi\) |
0.811712 | + | 0.584058i | \(0.198536\pi\) | |||||||
\(410\) | −68840.9 | + | 79637.8i | −0.409524 | + | 0.473752i | ||||
\(411\) | −29768.1 | − | 95581.3i | −0.176225 | − | 0.565835i | ||||
\(412\) | −44589.7 | − | 56423.7i | −0.262688 | − | 0.332405i | ||||
\(413\) | 94273.6 | − | 163287.i | 0.552700 | − | 0.957305i | ||||
\(414\) | −19940.4 | − | 303689.i | −0.116341 | − | 1.77185i | ||||
\(415\) | −24665.8 | + | 14240.8i | −0.143219 | + | 0.0826873i | ||||
\(416\) | 234228. | − | 23771.9i | 1.35348 | − | 0.137365i | ||||
\(417\) | −61601.6 | + | 46925.9i | −0.354258 | + | 0.269861i | ||||
\(418\) | −47522.0 | − | 136779.i | −0.271983 | − | 0.782831i | ||||
\(419\) | 77314.8 | − | 212421.i | 0.440387 | − | 1.20995i | −0.498851 | − | 0.866688i | \(-0.666245\pi\) |
0.939238 | − | 0.343266i | \(-0.111533\pi\) | |||||||
\(420\) | 55626.3 | + | 4263.73i | 0.315342 | + | 0.0241708i | ||||
\(421\) | −15831.8 | + | 89786.7i | −0.0893237 | + | 0.506580i | 0.907016 | + | 0.421096i | \(0.138355\pi\) |
−0.996340 | + | 0.0854833i | \(0.972757\pi\) | |||||||
\(422\) | −115796. | − | 44081.7i | −0.650234 | − | 0.247533i | ||||
\(423\) | −97165.4 | + | 95810.2i | −0.543039 | + | 0.535465i | ||||
\(424\) | −4000.39 | + | 90790.6i | −0.0222521 | + | 0.505021i | ||||
\(425\) | −162961. | − | 136741.i | −0.902206 | − | 0.757041i | ||||
\(426\) | −9891.78 | + | 159800.i | −0.0545074 | + | 0.880558i | ||||
\(427\) | 73459.8 | − | 12952.9i | 0.402897 | − | 0.0710416i | ||||
\(428\) | −123823. | + | 66722.0i | −0.675947 | + | 0.364235i | ||||
\(429\) | 222951. | − | 347267.i | 1.21142 | − | 1.88690i | ||||
\(430\) | 46167.6 | − | 77321.1i | 0.249689 | − | 0.418178i | ||||
\(431\) | 112393.i | 0.605043i | 0.953143 | + | 0.302521i | \(0.0978284\pi\) | ||||
−0.953143 | + | 0.302521i | \(0.902172\pi\) | |||||||
\(432\) | −139843. | − | 123581.i | −0.749333 | − | 0.662194i | ||||
\(433\) | −291814. | −1.55643 | −0.778217 | − | 0.627995i | \(-0.783876\pi\) | ||||
−0.778217 | + | 0.627995i | \(0.783876\pi\) | |||||||
\(434\) | 6110.56 | + | 3648.55i | 0.0324415 | + | 0.0193705i | ||||
\(435\) | 7089.55 | − | 3659.01i | 0.0374663 | − | 0.0193368i | ||||
\(436\) | −73078.0 | − | 135618.i | −0.384427 | − | 0.713419i | ||||
\(437\) | −29606.8 | − | 167909.i | −0.155035 | − | 0.879246i | ||||
\(438\) | 4474.81 | + | 8991.64i | 0.0233253 | + | 0.0468696i | ||||
\(439\) | 91457.0 | − | 108994.i | 0.474557 | − | 0.565555i | −0.474663 | − | 0.880167i | \(-0.657430\pi\) |
0.949220 | + | 0.314613i | \(0.101875\pi\) | |||||||
\(440\) | 174607. | + | 7693.47i | 0.901893 | + | 0.0397390i | ||||
\(441\) | −10391.5 | − | 129220.i | −0.0534319 | − | 0.664436i | ||||
\(442\) | −159092. | + | 417913.i | −0.814337 | + | 2.13915i | ||||
\(443\) | −101733. | − | 17938.2i | −0.518386 | − | 0.0914055i | −0.0916671 | − | 0.995790i | \(-0.529220\pi\) |
−0.426719 | + | 0.904384i | \(0.640331\pi\) | |||||||
\(444\) | −215814. | − | 147677.i | −1.09475 | − | 0.749114i | ||||
\(445\) | −99045.3 | − | 36049.5i | −0.500166 | − | 0.182045i | ||||
\(446\) | 180780. | − | 62809.5i | 0.908828 | − | 0.315759i | ||||
\(447\) | −73077.3 | + | 174687.i | −0.365736 | + | 0.874269i | ||||
\(448\) | −82013.2 | + | 81882.1i | −0.408628 | + | 0.407974i | ||||
\(449\) | 161403. | + | 279558.i | 0.800607 | + | 1.38669i | 0.919217 | + | 0.393751i | \(0.128823\pi\) |
−0.118610 | + | 0.992941i | \(0.537844\pi\) | |||||||
\(450\) | 136092. | + | 39650.1i | 0.672061 | + | 0.195803i | ||||
\(451\) | −331948. | − | 191650.i | −1.63199 | − | 0.942228i | ||||
\(452\) | −145222. | + | 114764.i | −0.710813 | + | 0.561730i | ||||
\(453\) | −1024.40 | + | 4545.18i | −0.00499197 | + | 0.0221490i | ||||
\(454\) | −186841. | − | 161510.i | −0.906483 | − | 0.783587i | ||||
\(455\) | 57256.0 | + | 68235.0i | 0.276566 | + | 0.329598i | ||||
\(456\) | −85407.6 | − | 60302.3i | −0.410740 | − | 0.290004i | ||||
\(457\) | −56527.3 | + | 20574.2i | −0.270661 | + | 0.0985125i | −0.473785 | − | 0.880640i | \(-0.657113\pi\) |
0.203124 | + | 0.979153i | \(0.434890\pi\) | |||||||
\(458\) | −94731.7 | − | 116322.i | −0.451611 | − | 0.554539i | ||||
\(459\) | 328897. | − | 132192.i | 1.56111 | − | 0.627452i | ||||
\(460\) | 201533. | + | 41669.3i | 0.952425 | + | 0.196925i | ||||
\(461\) | −250693. | + | 91244.8i | −1.17962 | + | 0.429345i | −0.856066 | − | 0.516866i | \(-0.827098\pi\) |
−0.323549 | + | 0.946211i | \(0.604876\pi\) | |||||||
\(462\) | 22847.7 | + | 201852.i | 0.107043 | + | 0.945690i | ||||
\(463\) | 80915.4 | + | 96431.2i | 0.377458 | + | 0.449837i | 0.921010 | − | 0.389538i | \(-0.127365\pi\) |
−0.543552 | + | 0.839376i | \(0.682921\pi\) | |||||||
\(464\) | −3830.57 | + | 16124.1i | −0.0177921 | + | 0.0748928i | ||||
\(465\) | −5695.23 | − | 5255.62i | −0.0263394 | − | 0.0243063i | ||||
\(466\) | 779.141 | − | 53079.4i | 0.00358793 | − | 0.244430i | ||||
\(467\) | 210583. | + | 121580.i | 0.965584 | + | 0.557480i | 0.897887 | − | 0.440226i | \(-0.145102\pi\) |
0.0676969 | + | 0.997706i | \(0.478435\pi\) | |||||||
\(468\) | −15156.6 | − | 297581.i | −0.0692008 | − | 1.35867i | ||||
\(469\) | −73849.0 | − | 127910.i | −0.335737 | − | 0.581513i | ||||
\(470\) | −44958.3 | − | 80578.7i | −0.203524 | − | 0.364775i | ||||
\(471\) | 294231. | − | 37685.8i | 1.32632 | − | 0.169877i | ||||
\(472\) | −55498.9 | − | 422863.i | −0.249115 | − | 1.89809i | ||||
\(473\) | 308135. | + | 112152.i | 1.37727 | + | 0.501285i | ||||
\(474\) | −188239. | − | 45338.6i | −0.837822 | − | 0.201795i | ||||
\(475\) | 78205.2 | + | 13789.7i | 0.346616 | + | 0.0611177i | ||||
\(476\) | −69182.2 | − | 208967.i | −0.305338 | − | 0.922281i | ||||
\(477\) | 114507. | + | 10828.9i | 0.503265 | + | 0.0475933i | ||||
\(478\) | −36695.3 | − | 227595.i | −0.160603 | − | 0.996107i | ||||
\(479\) | −73806.4 | + | 87959.1i | −0.321679 | + | 0.383363i | −0.902515 | − | 0.430658i | \(-0.858281\pi\) |
0.580836 | + | 0.814021i | \(0.302726\pi\) | |||||||
\(480\) | 105723. | − | 68904.0i | 0.458867 | − | 0.299063i | ||||
\(481\) | −72501.8 | − | 411178.i | −0.313371 | − | 1.77721i | ||||
\(482\) | −22093.6 | − | 4230.96i | −0.0950983 | − | 0.0182115i | ||||
\(483\) | −11272.5 | + | 238929.i | −0.0483199 | + | 1.02418i | ||||
\(484\) | 58176.6 | + | 397908.i | 0.248346 | + | 1.69860i | ||||
\(485\) | 73873.9 | 0.314056 | ||||||||
\(486\) | −165101. | + | 168909.i | −0.699000 | + | 0.715122i | ||||
\(487\) | − | 106897.i | − | 0.450720i | −0.974276 | − | 0.225360i | \(-0.927644\pi\) | ||
0.974276 | − | 0.225360i | \(-0.0723558\pi\) | |||||||
\(488\) | 114041. | − | 124354.i | 0.478873 | − | 0.522178i | ||||
\(489\) | 16125.2 | + | 760.775i | 0.0674353 | + | 0.00318155i | ||||
\(490\) | 86095.9 | + | 16487.5i | 0.358583 | + | 0.0686692i | ||||
\(491\) | 179822. | − | 31707.4i | 0.745897 | − | 0.131522i | 0.212234 | − | 0.977219i | \(-0.431926\pi\) |
0.533663 | + | 0.845697i | \(0.320815\pi\) | |||||||
\(492\) | −275428. | + | 27087.9i | −1.13783 | + | 0.111904i | ||||
\(493\) | −24113.6 | − | 20233.7i | −0.0992130 | − | 0.0832496i | ||||
\(494\) | −26570.7 | − | 164799.i | −0.108880 | − | 0.675306i | ||||
\(495\) | 20825.8 | − | 220218.i | 0.0849948 | − | 0.898758i | ||||
\(496\) | 15990.5 | − | 1860.38i | 0.0649978 | − | 0.00756202i | ||||
\(497\) | 21850.8 | − | 123922.i | 0.0884615 | − | 0.501690i | ||||
\(498\) | −72798.7 | − | 17534.1i | −0.293538 | − | 0.0707007i | ||||
\(499\) | 57586.4 | − | 158217.i | 0.231270 | − | 0.635408i | −0.768722 | − | 0.639584i | \(-0.779107\pi\) |
0.999991 | + | 0.00417535i | \(0.00132906\pi\) | |||||||
\(500\) | −122258. | + | 198091.i | −0.489030 | + | 0.792366i | ||||
\(501\) | 7040.97 | + | 54972.3i | 0.0280516 | + | 0.219012i | ||||
\(502\) | 134861. | + | 241711.i | 0.535153 | + | 0.959154i | ||||
\(503\) | −194995. | + | 112580.i | −0.770704 | + | 0.444966i | −0.833126 | − | 0.553084i | \(-0.813451\pi\) |
0.0624218 | + | 0.998050i | \(0.480118\pi\) | |||||||
\(504\) | 98286.9 | + | 108873.i | 0.386932 | + | 0.428606i | ||||
\(505\) | 51582.2 | − | 89343.0i | 0.202263 | − | 0.350330i | ||||
\(506\) | −10998.3 | + | 749263.i | −0.0429560 | + | 2.92640i | ||||
\(507\) | 148310. | − | 160716.i | 0.576973 | − | 0.625234i | ||||
\(508\) | 7497.91 | − | 255344.i | 0.0290544 | − | 0.989461i | ||||
\(509\) | −39396.4 | + | 33057.5i | −0.152062 | + | 0.127595i | −0.715645 | − | 0.698464i | \(-0.753867\pi\) |
0.563583 | + | 0.826060i | \(0.309423\pi\) | |||||||
\(510\) | 26958.6 | + | 238170.i | 0.103647 | + | 0.915685i | ||||
\(511\) | −2699.79 | − | 7417.60i | −0.0103392 | − | 0.0284068i | ||||
\(512\) | −34528.5 | + | 259860.i | −0.131716 | + | 0.991288i | ||||
\(513\) | −81653.7 | + | 104124.i | −0.310271 | + | 0.395653i | ||||
\(514\) | 178829. | + | 219586.i | 0.676880 | + | 0.831150i | ||||
\(515\) | −21050.1 | − | 57834.7i | −0.0793670 | − | 0.218059i | ||||
\(516\) | 228023. | − | 63737.5i | 0.856404 | − | 0.239384i | ||||
\(517\) | 257377. | − | 215965.i | 0.962918 | − | 0.807984i | ||||
\(518\) | 155486. | + | 134406.i | 0.579472 | + | 0.500910i | ||||
\(519\) | 380161. | + | 85681.2i | 1.41134 | + | 0.318091i | ||||
\(520\) | 196691. | + | 43687.9i | 0.727408 | + | 0.161568i | ||||
\(521\) | 179199. | − | 310382.i | 0.660177 | − | 1.14346i | −0.320392 | − | 0.947285i | \(-0.603815\pi\) |
0.980569 | − | 0.196175i | \(-0.0628521\pi\) | |||||||
\(522\) | 20137.8 | + | 5867.08i | 0.0739045 | + | 0.0215318i | ||||
\(523\) | 436830. | − | 252204.i | 1.59702 | − | 0.922037i | 0.604957 | − | 0.796258i | \(-0.293190\pi\) |
0.992058 | − | 0.125779i | \(-0.0401431\pi\) | |||||||
\(524\) | −16144.5 | + | 40606.5i | −0.0587978 | + | 0.147888i | ||||
\(525\) | −102777. | − | 42994.9i | −0.372886 | − | 0.155991i | ||||
\(526\) | 99986.8 | − | 34738.9i | 0.361386 | − | 0.125558i | ||||
\(527\) | −10457.9 | + | 28732.8i | −0.0376549 | + | 0.103456i | ||||
\(528\) | 318820. | + | 330899.i | 1.14361 | + | 1.18694i | ||||
\(529\) | −104623. | + | 593346.i | −0.373865 | + | 2.12030i | ||||
\(530\) | −27670.5 | + | 72686.4i | −0.0985065 | + | 0.258763i | ||||
\(531\) | −538039. | + | 43267.4i | −1.90820 | + | 0.153452i | ||||
\(532\) | 61368.8 | + | 54642.9i | 0.216833 | + | 0.193068i | ||||
\(533\) | −338496. | − | 284032.i | −1.19151 | − | 0.999798i | ||||
\(534\) | −123463. | − | 248086.i | −0.432968 | − | 0.870001i | ||||
\(535\) | −118546. | + | 20902.8i | −0.414170 | + | 0.0730293i | ||||
\(536\) | −308607. | − | 127974.i | −1.07418 | − | 0.445443i | ||||
\(537\) | 149779. | + | 290205.i | 0.519399 | + | 1.00637i | ||||
\(538\) | −475165. | − | 283716.i | −1.64165 | − | 0.980210i | ||||
\(539\) | 319189.i | 1.09868i | ||||||||
\(540\) | −80374.9 | − | 138017.i | −0.275634 | − | 0.473311i | ||||
\(541\) | −120216. | −0.410742 | −0.205371 | − | 0.978684i | \(-0.565840\pi\) | ||||
−0.205371 | + | 0.978684i | \(0.565840\pi\) | |||||||
\(542\) | −160383. | + | 268609.i | −0.545960 | + | 0.914369i | ||||
\(543\) | 145285. | + | 93275.7i | 0.492745 | + | 0.316351i | ||||
\(544\) | −411787. | − | 279901.i | −1.39147 | − | 0.945817i | ||||
\(545\) | −22894.0 | − | 129838.i | −0.0770777 | − | 0.437130i | ||||
\(546\) | −14468.5 | + | 233737.i | −0.0485332 | + | 0.784046i | ||||
\(547\) | 2449.25 | − | 2918.90i | 0.00818576 | − | 0.00975540i | −0.761936 | − | 0.647652i | \(-0.775751\pi\) |
0.770122 | + | 0.637897i | \(0.220195\pi\) | |||||||
\(548\) | 132918. | + | 118351.i | 0.442613 | + | 0.394104i | ||||
\(549\) | −149936. | − | 152057.i | −0.497463 | − | 0.504499i | ||||
\(550\) | −326179. | − | 124171.i | −1.07828 | − | 0.410482i | ||||
\(551\) | 11572.1 | + | 2040.48i | 0.0381163 | + | 0.00672093i | ||||
\(552\) | 308600. | + | 444416.i | 1.01279 | + | 1.45852i | ||||
\(553\) | 142998. | + | 52046.9i | 0.467604 | + | 0.170194i | ||||
\(554\) | 81009.2 | + | 233164.i | 0.263946 | + | 0.759698i | ||||
\(555\) | −135615. | − | 178028.i | −0.440274 | − | 0.577967i | ||||
\(556\) | 50862.5 | − | 127929.i | 0.164531 | − | 0.413828i | ||||
\(557\) | −42269.6 | − | 73213.1i | −0.136244 | − | 0.235982i | 0.789828 | − | 0.613328i | \(-0.210170\pi\) |
−0.926072 | + | 0.377347i | \(0.876836\pi\) | |||||||
\(558\) | −1334.93 | − | 20330.7i | −0.00428735 | − | 0.0652956i | ||||
\(559\) | 327375. | + | 189010.i | 1.04766 | + | 0.604869i | ||||
\(560\) | −88655.4 | + | 44465.2i | −0.282702 | + | 0.141790i | ||||
\(561\) | −833284. | + | 259520.i | −2.64769 | + | 0.824604i | ||||
\(562\) | −277831. | + | 321405.i | −0.879645 | + | 1.01761i | ||||
\(563\) | 76073.6 | + | 90661.0i | 0.240003 | + | 0.286025i | 0.872578 | − | 0.488474i | \(-0.162446\pi\) |
−0.632575 | + | 0.774499i | \(0.718002\pi\) | |||||||
\(564\) | 60260.8 | − | 234988.i | 0.189442 | − | 0.738732i | ||||
\(565\) | −148853. | + | 54178.2i | −0.466296 | + | 0.169718i | ||||
\(566\) | 183176. | − | 149177.i | 0.571789 | − | 0.465659i | ||||
\(567\) | 143867. | − | 117315.i | 0.447502 | − | 0.364913i | ||||
\(568\) | −131328. | − | 252525.i | −0.407062 | − | 0.782723i | ||||
\(569\) | 115373. | − | 41992.2i | 0.356351 | − | 0.129701i | −0.157640 | − | 0.987497i | \(-0.550389\pi\) |
0.513991 | + | 0.857795i | \(0.328166\pi\) | |||||||
\(570\) | −53169.3 | − | 71964.8i | −0.163648 | − | 0.221498i | ||||
\(571\) | −382534. | − | 455887.i | −1.17327 | − | 1.39825i | −0.899762 | − | 0.436380i | \(-0.856260\pi\) |
−0.273509 | − | 0.961870i | \(-0.588184\pi\) | |||||||
\(572\) | −21533.4 | + | 733330.i | −0.0658145 | + | 2.24134i | ||||
\(573\) | 51931.4 | − | 16173.7i | 0.158169 | − | 0.0492605i | ||||
\(574\) | 217491. | + | 3192.50i | 0.660111 | + | 0.00968963i | ||||
\(575\) | −355900. | − | 205479.i | −1.07645 | − | 0.621487i | ||||
\(576\) | 326275. | + | 60166.3i | 0.983419 | + | 0.181346i | ||||
\(577\) | −7760.78 | − | 13442.1i | −0.0233106 | − | 0.0403752i | 0.854135 | − | 0.520052i | \(-0.174087\pi\) |
−0.877445 | + | 0.479677i | \(0.840754\pi\) | |||||||
\(578\) | 534118. | − | 298007.i | 1.59875 | − | 0.892014i | ||||
\(579\) | −82233.6 | − | 107952.i | −0.245297 | − | 0.322012i | ||||
\(580\) | −7449.11 | + | 12069.6i | −0.0221436 | + | 0.0358789i | ||||
\(581\) | 55302.4 | + | 20128.4i | 0.163829 | + | 0.0596290i | ||||
\(582\) | 140784. | + | 133796.i | 0.415631 | + | 0.395000i | ||||
\(583\) | −278893. | − | 49176.3i | −0.820540 | − | 0.144683i | ||||
\(584\) | −15055.1 | − | 9599.65i | −0.0441427 | − | 0.0281468i | ||||
\(585\) | 67727.9 | − | 245845.i | 0.197905 | − | 0.718373i | ||||
\(586\) | −142318. | + | 22946.0i | −0.414441 | + | 0.0668208i | ||||
\(587\) | −408723. | + | 487098.i | −1.18619 | + | 1.41364i | −0.297751 | + | 0.954644i | \(0.596236\pi\) |
−0.888437 | + | 0.458999i | \(0.848208\pi\) | |||||||
\(588\) | 134215. | + | 187353.i | 0.388192 | + | 0.541883i | ||||
\(589\) | −1982.06 | − | 11240.8i | −0.00571328 | − | 0.0324016i | ||||
\(590\) | 68649.6 | − | 358481.i | 0.197212 | − | 1.02982i | ||||
\(591\) | 521680. | + | 334928.i | 1.49358 | + | 0.958907i | ||||
\(592\) | 464094. | + | 27278.8i | 1.32423 | + | 0.0778362i | ||||
\(593\) | 528803. | 1.50378 | 0.751890 | − | 0.659289i | \(-0.229143\pi\) | ||||
0.751890 | + | 0.659289i | \(0.229143\pi\) | |||||||
\(594\) | 438535. | − | 381959.i | 1.24289 | − | 1.08254i | ||||
\(595\) | − | 188382.i | − | 0.532116i | ||||||
\(596\) | −48700.0 | − | 333092.i | −0.137100 | − | 0.937716i | ||||
\(597\) | −101685. | − | 197021.i | −0.285304 | − | 0.552794i | ||||
\(598\) | −162477. | + | 848439.i | −0.454349 | + | 2.37256i | ||||
\(599\) | 353082. | − | 62258.0i | 0.984062 | − | 0.173517i | 0.341609 | − | 0.939842i | \(-0.389028\pi\) |
0.642453 | + | 0.766325i | \(0.277917\pi\) | |||||||
\(600\) | −243668. | + | 64270.2i | −0.676854 | + | 0.178528i | ||||
\(601\) | −24003.3 | − | 20141.1i | −0.0664541 | − | 0.0557616i | 0.608956 | − | 0.793204i | \(-0.291589\pi\) |
−0.675410 | + | 0.737443i | \(0.736033\pi\) | |||||||
\(602\) | −183709. | + | 29619.6i | −0.506918 | + | 0.0817308i | ||||
\(603\) | −181383. | + | 381952.i | −0.498841 | + | 1.05045i | ||||
\(604\) | −2603.28 | − | 7863.27i | −0.00713587 | − | 0.0215541i | ||||
\(605\) | −59761.9 | + | 338927.i | −0.163273 | + | 0.925966i | ||||
\(606\) | 260115. | − | 76841.5i | 0.708304 | − | 0.209243i | ||||
\(607\) | 33762.9 | − | 92762.8i | 0.0916352 | − | 0.251766i | −0.885405 | − | 0.464820i | \(-0.846119\pi\) |
0.977040 | + | 0.213055i | \(0.0683412\pi\) | |||||||
\(608\) | 185367. | + | 13628.4i | 0.501448 | + | 0.0368669i | ||||
\(609\) | −15208.0 | − | 6362.02i | −0.0410052 | − | 0.0171538i | ||||
\(610\) | 126100. | − | 70356.5i | 0.338887 | − | 0.189079i | ||||
\(611\) | 335434. | − | 193663.i | 0.898513 | − | 0.518757i | ||||
\(612\) | −379983. | + | 502714.i | −1.01452 | + | 1.34220i | ||||
\(613\) | 187931. | − | 325505.i | 0.500123 | − | 0.866238i | −0.499877 | − | 0.866096i | \(-0.666622\pi\) |
1.00000 | 0.000141775i | \(-4.51283e-5\pi\) | ||||||||
\(614\) | −412551. | − | 6055.75i | −1.09431 | − | 0.0160632i | ||||
\(615\) | −231056. | − | 52075.7i | −0.610896 | − | 0.137684i | ||||
\(616\) | −219733. | − | 286599.i | −0.579074 | − | 0.755289i | ||||
\(617\) | −233298. | + | 195760.i | −0.612830 | + | 0.514225i | −0.895541 | − | 0.444980i | \(-0.853211\pi\) |
0.282711 | + | 0.959205i | \(0.408766\pi\) | |||||||
\(618\) | 64630.9 | − | 148342.i | 0.169224 | − | 0.388408i | ||||
\(619\) | −68250.1 | − | 187516.i | −0.178124 | − | 0.489391i | 0.818212 | − | 0.574916i | \(-0.194965\pi\) |
−0.996336 | + | 0.0855253i | \(0.972743\pi\) | |||||||
\(620\) | 13491.8 | + | 2789.58i | 0.0350983 | + | 0.00725698i | ||||
\(621\) | 581374. | − | 361824.i | 1.50755 | − | 0.938240i | ||||
\(622\) | 174887. | − | 142426.i | 0.452039 | − | 0.368136i | ||||
\(623\) | 74489.1 | + | 204657.i | 0.191918 | + | 0.527292i | ||||
\(624\) | 295716. | + | 439493.i | 0.759462 | + | 1.12871i | ||||
\(625\) | 56857.0 | − | 47708.7i | 0.145554 | − | 0.122134i | ||||
\(626\) | 145168. | − | 167936.i | 0.370445 | − | 0.428544i | ||||
\(627\) | 220949. | − | 239430.i | 0.562026 | − | 0.609037i | ||||
\(628\) | −413750. | + | 326971.i | −1.04910 | + | 0.829069i | ||||
\(629\) | −441504. | + | 764708.i | −1.11592 | + | 1.93283i | ||||
\(630\) | 50568.7 | + | 114890.i | 0.127409 | + | 0.289468i | ||||
\(631\) | −114807. | + | 66283.7i | −0.288342 | + | 0.166475i | −0.637194 | − | 0.770703i | \(-0.719905\pi\) |
0.348852 | + | 0.937178i | \(0.386572\pi\) | |||||||
\(632\) | 328326. | − | 103377.i | 0.821999 | − | 0.258814i | ||||
\(633\) | −35417.7 | − | 276523.i | −0.0883919 | − | 0.690119i | ||||
\(634\) | −179180. | − | 515722.i | −0.445770 | − | 1.28303i | ||||
\(635\) | 74772.7 | − | 205436.i | 0.185437 | − | 0.509483i | ||||
\(636\) | −184378. | + | 88406.0i | −0.455822 | + | 0.218558i | ||||
\(637\) | −63896.7 | + | 362376.i | −0.157471 | + | 0.893060i | ||||
\(638\) | −48265.2 | − | 18373.7i | −0.118575 | − | 0.0451394i | ||||
\(639\) | −327548. | + | 149947.i | −0.802183 | + | 0.367228i | ||||
\(640\) | −97948.3 | + | 201835.i | −0.239132 | + | 0.492761i | ||||
\(641\) | −12332.1 | − | 10347.9i | −0.0300139 | − | 0.0251847i | 0.627657 | − | 0.778490i | \(-0.284014\pi\) |
−0.657671 | + | 0.753305i | \(0.728458\pi\) | |||||||
\(642\) | −263775. | − | 174868.i | −0.639975 | − | 0.424268i | ||||
\(643\) | 144959. | − | 25560.1i | 0.350608 | − | 0.0618217i | 0.00442933 | − | 0.999990i | \(-0.498590\pi\) |
0.346179 | + | 0.938168i | \(0.387479\pi\) | |||||||
\(644\) | −201717. | − | 374347.i | −0.486375 | − | 0.902614i | ||||
\(645\) | 202400. | + | 9549.08i | 0.486509 | + | 0.0229531i | ||||
\(646\) | −180984. | + | 303111.i | −0.433686 | + | 0.726334i | ||||
\(647\) | 212988.i | 0.508799i | 0.967099 | + | 0.254399i | \(0.0818777\pi\) | ||||
−0.967099 | + | 0.254399i | \(0.918122\pi\) | |||||||
\(648\) | 96795.7 | − | 408595.i | 0.230519 | − | 0.973068i | ||||
\(649\) | 1.32902e6 | 3.15531 | ||||||||
\(650\) | −345454. | − | 206267.i | −0.817644 | − | 0.488206i | ||||
\(651\) | −754.648 | + | 15995.3i | −0.00178067 | + | 0.0377425i | ||||
\(652\) | −25264.4 | + | 13613.8i | −0.0594312 | + | 0.0320246i | ||||
\(653\) | 89860.5 | + | 509624.i | 0.210738 | + | 1.19515i | 0.888151 | + | 0.459551i | \(0.151990\pi\) |
−0.677413 | + | 0.735603i | \(0.736899\pi\) | |||||||
\(654\) | 191526. | − | 288902.i | 0.447787 | − | 0.675453i | ||||
\(655\) | −24038.6 | + | 28648.1i | −0.0560308 | + | 0.0667749i | ||||
\(656\) | 394811. | − | 293599.i | 0.917448 | − | 0.682255i | ||||
\(657\) | −13091.4 | + | 18419.8i | −0.0303288 | + | 0.0426730i | ||||
\(658\) | −67832.9 | + | 178187.i | −0.156671 | + | 0.411553i | ||||
\(659\) | 260054. | + | 45854.6i | 0.598816 | + | 0.105587i | 0.464836 | − | 0.885397i | \(-0.346113\pi\) |
0.133980 | + | 0.990984i | \(0.457224\pi\) | |||||||
\(660\) | 170020. | + | 354592.i | 0.390313 | + | 0.814031i | ||||
\(661\) | −709728. | − | 258320.i | −1.62439 | − | 0.591228i | −0.640175 | − | 0.768229i | \(-0.721138\pi\) |
−0.984211 | + | 0.177001i | \(0.943360\pi\) | |||||||
\(662\) | 308504. | − | 107185.i | 0.703955 | − | 0.244579i | ||||
\(663\) | −997981. | + | 127824.i | −2.27036 | + | 0.290793i | ||||
\(664\) | 126976. | − | 39979.4i | 0.287995 | − | 0.0906777i | ||||
\(665\) | 35161.2 | + | 60901.0i | 0.0795098 | + | 0.137715i | ||||
\(666\) | 63987.2 | − | 584894.i | 0.144260 | − | 1.31865i | ||||
\(667\) | −52663.2 | − | 30405.1i | −0.118374 | − | 0.0683431i | ||||
\(668\) | −61089.3 | − | 77302.3i | −0.136903 | − | 0.173237i | ||||
\(669\) | 316453. | + | 292027.i | 0.707061 | + | 0.652484i | ||||
\(670\) | −216305. | − | 186979.i | −0.481855 | − | 0.416528i | ||||
\(671\) | 337970. | + | 402776.i | 0.750642 | + | 0.894580i | ||||
\(672\) | −249487. | − | 75828.6i | −0.552470 | − | 0.167917i | ||||
\(673\) | −368485. | + | 134117.i | −0.813559 | + | 0.296111i | −0.715093 | − | 0.699029i | \(-0.753616\pi\) |
−0.0984660 | + | 0.995140i | \(0.531394\pi\) | |||||||
\(674\) | −152894. | − | 187740.i | −0.336565 | − | 0.413273i | ||||
\(675\) | 65747.4 | + | 312089.i | 0.144302 | + | 0.684968i | ||||
\(676\) | −78720.3 | + | 380730.i | −0.172263 | + | 0.833151i | ||||
\(677\) | −499540. | + | 181818.i | −1.08992 | + | 0.396697i | −0.823590 | − | 0.567186i | \(-0.808032\pi\) |
−0.266327 | + | 0.963883i | \(0.585810\pi\) | |||||||
\(678\) | −381800. | − | 166345.i | −0.830570 | − | 0.361869i | ||||
\(679\) | −98118.6 | − | 116933.i | −0.212820 | − | 0.253629i | ||||
\(680\) | −259268. | − | 338165.i | −0.560701 | − | 0.731325i | ||||
\(681\) | 122176. | − | 542088.i | 0.263447 | − | 1.16890i | ||||
\(682\) | −736.290 | + | 50160.1i | −0.00158300 | + | 0.107842i | ||||
\(683\) | −41835.8 | − | 24153.9i | −0.0896822 | − | 0.0517780i | 0.454488 | − | 0.890753i | \(-0.349822\pi\) |
−0.544170 | + | 0.838975i | \(0.683156\pi\) | |||||||
\(684\) | 29011.9 | − | 233443.i | 0.0620102 | − | 0.498963i | ||||
\(685\) | 76155.6 | + | 131905.i | 0.162301 | + | 0.281113i | ||||
\(686\) | −220652. | − | 395475.i | −0.468879 | − | 0.840370i | ||||
\(687\) | 130264. | − | 311388.i | 0.276001 | − | 0.659764i | ||||
\(688\) | −289011. | + | 306006.i | −0.610573 | + | 0.646478i | ||||
\(689\) | −306783. | − | 111660.i | −0.646239 | − | 0.235212i | ||||
\(690\) | 131184. | + | 444069.i | 0.275539 | + | 0.932722i | ||||
\(691\) | 586729. | + | 103456.i | 1.22880 | + | 0.216671i | 0.750110 | − | 0.661313i | \(-0.230000\pi\) |
0.478691 | + | 0.877983i | \(0.341111\pi\) | |||||||
\(692\) | −657689. | + | 217740.i | −1.37344 | + | 0.454700i | ||||
\(693\) | −376239. | + | 259527.i | −0.783425 | + | 0.540401i | ||||
\(694\) | 41725.5 | + | 258793.i | 0.0866328 | + | 0.537321i | ||||
\(695\) | 75732.7 | − | 90254.7i | 0.156788 | − | 0.186853i | ||||
\(696\) | −36055.9 | + | 9510.16i | −0.0744317 | + | 0.0196322i | ||||
\(697\) | 162277. | + | 920316.i | 0.334034 | + | 1.89440i | ||||
\(698\) | 495566. | + | 94901.7i | 1.01716 | + | 0.194788i | ||||
\(699\) | 106139. | − | 54779.6i | 0.217230 | − | 0.112115i | ||||
\(700\) | 195974. | − | 28652.6i | 0.399947 | − | 0.0584747i | ||||
\(701\) | −307951. | −0.626680 | −0.313340 | − | 0.949641i | \(-0.601448\pi\) | ||||
−0.313340 | + | 0.949641i | \(0.601448\pi\) | |||||||
\(702\) | 574332. | − | 345852.i | 1.16544 | − | 0.701803i | ||||
\(703\) | − | 329624.i | − | 0.666974i | ||||||
\(704\) | −788885. | − | 212058.i | −1.59173 | − | 0.427867i | ||||
\(705\) | 112164. | − | 174706.i | 0.225671 | − | 0.351504i | ||||
\(706\) | 588853. | + | 112766.i | 1.18140 | + | 0.226240i | ||||
\(707\) | −209930. | + | 37016.3i | −0.419987 | + | 0.0740550i | ||||
\(708\) | 780088. | − | 558836.i | 1.55624 | − | 1.11485i | ||||
\(709\) | 353390. | + | 296530.i | 0.703011 | + | 0.589896i | 0.922628 | − | 0.385690i | \(-0.126037\pi\) |
−0.219618 | + | 0.975586i | \(0.570481\pi\) | |||||||
\(710\) | −38773.9 | − | 240487.i | −0.0769170 | − | 0.477061i | ||||
\(711\) | −109796. | − | 421586.i | −0.217195 | − | 0.833963i | ||||
\(712\) | 415382. | + | 264861.i | 0.819385 | + | 0.522467i | ||||
\(713\) | −10257.2 | + | 58171.6i | −0.0201767 | + | 0.114428i | ||||
\(714\) | 341187. | − | 359007.i | 0.669262 | − | 0.704217i | ||||
\(715\) | −214742. | + | 589998.i | −0.420054 | + | 1.15409i | ||||
\(716\) | −494061. | − | 304924.i | −0.963729 | − | 0.594792i | ||||
\(717\) | 412619. | − | 314318.i | 0.802622 | − | 0.611408i | ||||
\(718\) | 64511.2 | + | 115623.i | 0.125137 | + | 0.224283i | ||||
\(719\) | −264741. | + | 152848.i | −0.512110 | + | 0.295667i | −0.733701 | − | 0.679473i | \(-0.762208\pi\) |
0.221591 | + | 0.975140i | \(0.428875\pi\) | |||||||
\(720\) | 248897. | + | 136642.i | 0.480126 | + | 0.263583i | ||||
\(721\) | −63586.6 | + | 110135.i | −0.122319 | + | 0.211863i | ||||
\(722\) | −5716.75 | + | 389456.i | −0.0109667 | + | 0.747110i | ||||
\(723\) | −15050.3 | − | 48324.5i | −0.0287918 | − | 0.0924466i | ||||
\(724\) | −306802. | − | 9008.91i | −0.585303 | − | 0.0171868i | ||||
\(725\) | 21696.6 | − | 18205.6i | 0.0412778 | − | 0.0346362i | ||||
\(726\) | −727735. | + | 537668.i | −1.38070 | + | 1.02010i | ||||
\(727\) | −121406. | − | 333560.i | −0.229705 | − | 0.631109i | 0.770273 | − | 0.637714i | \(-0.220120\pi\) |
−0.999978 | + | 0.00660475i | \(0.997898\pi\) | |||||||
\(728\) | −192091. | − | 369364.i | −0.362446 | − | 0.696934i | ||||
\(729\) | −510321. | − | 148330.i | −0.960259 | − | 0.279109i | ||||
\(730\) | −9649.41 | − | 11848.6i | −0.0181074 | − | 0.0222343i | ||||
\(731\) | −273434. | − | 751255.i | −0.511704 | − | 1.40589i | ||||
\(732\) | 367739. | + | 94303.7i | 0.686305 | + | 0.175998i | ||||
\(733\) | 754822. | − | 633371.i | 1.40487 | − | 1.17883i | 0.445985 | − | 0.895041i | \(-0.352854\pi\) |
0.958887 | − | 0.283787i | \(-0.0915908\pi\) | |||||||
\(734\) | 503433. | + | 435180.i | 0.934436 | + | 0.807750i | ||||
\(735\) | 58649.1 | + | 188314.i | 0.108564 | + | 0.348585i | ||||
\(736\) | −877311. | − | 394369.i | −1.61956 | − | 0.728026i | ||||
\(737\) | 520542. | − | 901606.i | 0.958343 | − | 1.65990i | ||||
\(738\) | −346016. | − | 517718.i | −0.635306 | − | 0.950562i | ||||
\(739\) | −775722. | + | 447863.i | −1.42042 | + | 0.820081i | −0.996335 | − | 0.0855402i | \(-0.972738\pi\) |
−0.424087 | + | 0.905621i | \(0.639405\pi\) | |||||||
\(740\) | 369714. | + | 146992.i | 0.675153 | + | 0.268430i | ||||
\(741\) | 298774. | − | 227595.i | 0.544134 | − | 0.414501i | ||||
\(742\) | 151805. | − | 52742.5i | 0.275727 | − | 0.0957972i | ||||
\(743\) | 23832.6 | − | 65479.6i | 0.0431712 | − | 0.118612i | −0.916234 | − | 0.400644i | \(-0.868786\pi\) |
0.959405 | + | 0.282032i | \(0.0910085\pi\) | |||||||
\(744\) | 20659.5 | + | 29751.8i | 0.0373227 | + | 0.0537486i | ||||
\(745\) | 50027.1 | − | 283718.i | 0.0901349 | − | 0.511181i | ||||
\(746\) | 338585. | − | 889416.i | 0.608402 | − | 1.59819i | ||||
\(747\) | −42462.3 | − | 163042.i | −0.0760960 | − | 0.292186i | ||||
\(748\) | 1.03179e6 | − | 1.15879e6i | 1.84412 | − | 2.07110i | ||||
\(749\) | 190538. | + | 159880.i | 0.339639 | + | 0.284991i | ||||
\(750\) | −522757. | − | 32359.2i | −0.929347 | − | 0.0575274i | ||||
\(751\) | 865347. | − | 152584.i | 1.53430 | − | 0.270539i | 0.658265 | − | 0.752786i | \(-0.271291\pi\) |
0.876035 | + | 0.482247i | \(0.160179\pi\) | |||||||
\(752\) | 123470. | + | 413222.i | 0.218337 | + | 0.730714i | ||||
\(753\) | −336457. | + | 524063.i | −0.593390 | + | 0.924258i | ||||
\(754\) | −51117.5 | − | 30521.7i | −0.0899139 | − | 0.0536866i | ||||
\(755\) | − | 7088.69i | − | 0.0124358i | ||||||
\(756\) | −111711. | + | 310537.i | −0.195458 | + | 0.543338i | ||||
\(757\) | −963091. | −1.68064 | −0.840321 | − | 0.542089i | \(-0.817634\pi\) | ||||
−0.840321 | + | 0.542089i | \(0.817634\pi\) | |||||||
\(758\) | 477455. | − | 799638.i | 0.830987 | − | 1.39173i | ||||
\(759\) | −1.49825e6 | + | 773263.i | −2.60076 | + | 1.34228i | ||||
\(760\) | 146935. | + | 60931.4i | 0.254389 | + | 0.105491i | ||||
\(761\) | 15444.2 | + | 87588.6i | 0.0266684 | + | 0.151244i | 0.995234 | − | 0.0975135i | \(-0.0310889\pi\) |
−0.968566 | + | 0.248757i | \(0.919978\pi\) | |||||||
\(762\) | 514572. | − | 256084.i | 0.886209 | − | 0.441034i | ||||
\(763\) | −175111. | + | 208689.i | −0.300790 | + | 0.358467i | ||||
\(764\) | −64302.6 | + | 72217.4i | −0.110164 | + | 0.123724i | ||||
\(765\) | −443933. | + | 306222.i | −0.758568 | + | 0.523255i | ||||
\(766\) | 332459. | + | 126561.i | 0.566605 | + | 0.215697i | ||||
\(767\) | 1.50884e6 | + | 266049.i | 2.56479 | + | 0.452242i | ||||
\(768\) | −552215. | + | 207246.i | −0.936237 | + | 0.351369i | ||||
\(769\) | 590445. | + | 214905.i | 0.998452 | + | 0.363407i | 0.788987 | − | 0.614410i | \(-0.210606\pi\) |
0.209464 | + | 0.977816i | \(0.432828\pi\) | |||||||
\(770\) | −101433. | − | 291949.i | −0.171080 | − | 0.492408i | ||||
\(771\) | −245905. | + | 587821.i | −0.413674 | + | 0.988863i | ||||
\(772\) | 224185. | + | 89132.2i | 0.376159 | + | 0.149555i | ||||
\(773\) | 51337.5 | + | 88919.2i | 0.0859164 | + | 0.148811i | 0.905781 | − | 0.423745i | \(-0.139285\pi\) |
−0.819865 | + | 0.572557i | \(0.805952\pi\) | |||||||
\(774\) | 368426. | + | 384773.i | 0.614990 | + | 0.642277i | ||||
\(775\) | −23826.1 | − | 13756.0i | −0.0396688 | − | 0.0229028i | ||||
\(776\) | −337066. | − | 74867.3i | −0.559747 | − | 0.124328i | ||||
\(777\) | −101673. | + | 451118.i | −0.168409 | + | 0.747219i | ||||
\(778\) | 386997. | − | 447693.i | 0.639364 | − | 0.739641i | ||||
\(779\) | −224237. | − | 267235.i | −0.369515 | − | 0.440371i | ||||
\(780\) | 122041. | + | 436604.i | 0.200593 | + | 0.717627i | ||||
\(781\) | 833478. | − | 303361.i | 1.36645 | − | 0.497345i | ||||
\(782\) | 1.41661e6 | − | 1.15368e6i | 2.31653 | − | 1.88656i | ||||
\(783\) | 9728.75 | + | 46180.3i | 0.0158684 | + | 0.0753239i | ||||
\(784\) | −376123. | − | 162482.i | −0.611924 | − | 0.264345i | ||||
\(785\) | −424096. | + | 154358.i | −0.688216 | + | 0.250490i | ||||
\(786\) | −97697.1 | + | 11058.4i | −0.158138 | + | 0.0178997i | ||||
\(787\) | 423389. | + | 504576.i | 0.683582 | + | 0.814661i | 0.990564 | − | 0.137054i | \(-0.0437635\pi\) |
−0.306982 | + | 0.951715i | \(0.599319\pi\) | |||||||
\(788\) | −1.10164e6 | − | 32348.6i | −1.77414 | − | 0.0520958i | ||||
\(789\) | 175025. | + | 161515.i | 0.281156 | + | 0.259454i | ||||
\(790\) | 294553. | + | 4323.68i | 0.471964 | + | 0.00692787i | ||||
\(791\) | 283463. | + | 163657.i | 0.453047 | + | 0.261567i | ||||
\(792\) | −318202. | + | 983690.i | −0.507286 | + | 1.56822i | ||||
\(793\) | 303068. | + | 524929.i | 0.481941 | + | 0.834746i | ||||
\(794\) | −439430. | + | 245177.i | −0.697026 | + | 0.388901i | ||||
\(795\) | −173576. | + | 22232.0i | −0.274635 | + | 0.0351758i | ||||
\(796\) | 335419. | + | 207013.i | 0.529372 | + | 0.326717i | ||||
\(797\) | −585795. | − | 213212.i | −0.922209 | − | 0.335657i | −0.163092 | − | 0.986611i | \(-0.552147\pi\) |
−0.759117 | + | 0.650954i | \(0.774369\pi\) | |||||||
\(798\) | −43292.4 | + | 179743.i | −0.0679839 | + | 0.282258i | ||||
\(799\) | −806704. | − | 142244.i | −1.26363 | − | 0.222813i | ||||
\(800\) | 312359. | − | 321151.i | 0.488060 | − | 0.501798i | ||||
\(801\) | 361201. | − | 508215.i | 0.562968 | − | 0.792105i | ||||
\(802\) | −586533. | + | 94567.2i | −0.911892 | + | 0.147025i | ||||
\(803\) | 35764.9 | − | 42623.0i | 0.0554659 | − | 0.0661017i | ||||
\(804\) | −73573.6 | − | 748092.i | −0.113818 | − | 1.15729i | ||||
\(805\) | −63194.3 | − | 358393.i | −0.0975184 | − | 0.553054i | ||||
\(806\) | −10877.2 | + | 56799.4i | −0.0167435 | + | 0.0874327i | ||||
\(807\) | 58682.4 | − | 1.24382e6i | 0.0901074 | − | 1.90989i | ||||
\(808\) | −325900. | + | 355372.i | −0.499185 | + | 0.544327i | ||||
\(809\) | −603212. | −0.921664 | −0.460832 | − | 0.887487i | \(-0.652449\pi\) | ||||
−0.460832 | + | 0.887487i | \(0.652449\pi\) | |||||||
\(810\) | 188543. | − | 305926.i | 0.287369 | − | 0.466279i | ||||
\(811\) | − | 542088.i | − | 0.824192i | −0.911140 | − | 0.412096i | \(-0.864797\pi\) | ||
0.911140 | − | 0.412096i | \(-0.135203\pi\) | |||||||
\(812\) | 28998.6 | − | 4239.77i | 0.0439810 | − | 0.00643029i | ||||
\(813\) | −703125. | − | 33172.9i | −1.06378 | − | 0.0501883i | ||||
\(814\) | −272477. | + | 1.42285e6i | −0.411226 | + | 2.14738i | ||||
\(815\) | −24187.7 | + | 4264.95i | −0.0364150 | + | 0.00642094i | ||||
\(816\) | 118368. | − | 1.11402e6i | 0.177768 | − | 1.67307i | ||||
\(817\) | 228618. | + | 191833.i | 0.342504 | + | 0.287395i | ||||
\(818\) | −325517. | + | 52483.4i | −0.486483 | + | 0.0784360i | ||||
\(819\) | −479098. | + | 219325.i | −0.714261 | + | 0.326979i | ||||
\(820\) | 399733. | − | 132339.i | 0.594487 | − | 0.196816i | ||||
\(821\) | 60854.4 | − | 345122.i | 0.0902829 | − | 0.512020i | −0.905808 | − | 0.423688i | \(-0.860735\pi\) |
0.996091 | − | 0.0883319i | \(-0.0281536\pi\) | |||||||
\(822\) | −93766.9 | + | 389305.i | −0.138773 | + | 0.576165i | ||||
\(823\) | −101499. | + | 278867.i | −0.149852 | + | 0.411716i | −0.991793 | − | 0.127854i | \(-0.959191\pi\) |
0.841941 | + | 0.539570i | \(0.181413\pi\) | |||||||
\(824\) | 37433.5 | + | 285217.i | 0.0551322 | + | 0.420069i | ||||
\(825\) | −99765.6 | − | 778919.i | −0.146579 | − | 1.14442i | ||||
\(826\) | −658611. | + | 367467.i | −0.965314 | + | 0.538590i | ||||
\(827\) | 111032. | − | 64104.3i | 0.162344 | − | 0.0937294i | −0.416627 | − | 0.909078i | \(-0.636788\pi\) |
0.578971 | + | 0.815348i | \(0.303454\pi\) | |||||||
\(828\) | −554270. | + | 1.08387e6i | −0.808464 | + | 1.58095i | ||||
\(829\) | 74836.8 | − | 129621.i | 0.108895 | − | 0.188611i | −0.806428 | − | 0.591332i | \(-0.798602\pi\) |
0.915323 | + | 0.402721i | \(0.131936\pi\) | |||||||
\(830\) | 113914. | + | 1672.12i | 0.165357 | + | 0.00242724i | ||||
\(831\) | −376645. | + | 408149.i | −0.545418 | + | 0.591040i | ||||
\(832\) | −853172. | − | 398672.i | −1.23251 | − | 0.575929i | ||||
\(833\) | 596140. | − | 500221.i | 0.859129 | − | 0.720895i | ||||
\(834\) | 307791. | − | 34839.0i | 0.442510 | − | 0.0500880i | ||||
\(835\) | −28839.3 | − | 79235.4i | −0.0413630 | − | 0.113644i | ||||
\(836\) | −117275. | + | 567201.i | −0.167801 | + | 0.811567i | ||||
\(837\) | 38920.5 | − | 24222.6i | 0.0555556 | − | 0.0345756i | ||||
\(838\) | −701124. | + | 570988.i | −0.998405 | + | 0.813091i | ||||
\(839\) | −165668. | − | 455169.i | −0.235350 | − | 0.646619i | −0.999998 | − | 0.00217036i | \(-0.999309\pi\) |
0.764648 | − | 0.644449i | \(-0.222913\pi\) | |||||||
\(840\) | −182298. | − | 128712.i | −0.258359 | − | 0.182415i | ||||
\(841\) | −538598. | + | 451938.i | −0.761505 | + | 0.638979i | ||||
\(842\) | 238491. | − | 275896.i | 0.336394 | − | 0.389154i | ||||
\(843\) | −932505. | − | 210169.i | −1.31219 | − | 0.295742i | ||||
\(844\) | 307293. | + | 388848.i | 0.431387 | + | 0.545877i | ||||
\(845\) | −166363. | + | 288148.i | −0.232993 | + | 0.403555i | ||||
\(846\) | 530173. | − | 129798.i | 0.740759 | − | 0.181354i | ||||
\(847\) | 615854. | − | 355564.i | 0.858443 | − | 0.495622i | ||||
\(848\) | 199917. | − | 303606.i | 0.278008 | − | 0.422200i | ||||
\(849\) | 490352. | + | 205131.i | 0.680288 | + | 0.284587i | ||||
\(850\) | 279265. | + | 803790.i | 0.386526 | + | 1.11251i | ||||
\(851\) | −583425. | + | 1.60295e6i | −0.805612 | + | 2.21340i | ||||
\(852\) | 361663. | − | 528529.i | 0.498224 | − | 0.728098i | ||||
\(853\) | 180705. | − | 1.02483e6i | 0.248354 | − | 1.40849i | −0.564217 | − | 0.825626i | \(-0.690822\pi\) |
0.812572 | − | 0.582861i | \(-0.198067\pi\) | |||||||
\(854\) | −278850. | − | 106154.i | −0.382345 | − | 0.145552i | ||||
\(855\) | 86360.8 | − | 181856.i | 0.118137 | − | 0.248769i | ||||
\(856\) | 562076. | + | 24766.0i | 0.767092 | + | 0.0337994i | ||||
\(857\) | 809899. | + | 679586.i | 1.10273 | + | 0.925301i | 0.997606 | − | 0.0691584i | \(-0.0220314\pi\) |
0.105125 | + | 0.994459i | \(0.466476\pi\) | |||||||
\(858\) | −1.47781e6 | + | 735453.i | −2.00745 | + | 0.999035i | ||||
\(859\) | 131690. | − | 23220.6i | 0.178471 | − | 0.0314693i | −0.0836983 | − | 0.996491i | \(-0.526673\pi\) |
0.262169 | + | 0.965022i | \(0.415562\pi\) | |||||||
\(860\) | −317113. | + | 170877.i | −0.428764 | + | 0.231040i | ||||
\(861\) | 224457. | + | 434900.i | 0.302780 | + | 0.586655i | ||||
\(862\) | 230477. | − | 386001.i | 0.310179 | − | 0.519486i | ||||
\(863\) | − | 886794.i | − | 1.19070i | −0.803468 | − | 0.595348i | \(-0.797014\pi\) | ||
0.803468 | − | 0.595348i | \(-0.202986\pi\) | |||||||
\(864\) | 226855. | + | 711191.i | 0.303894 | + | 0.952706i | ||||
\(865\) | −592902. | −0.792412 | ||||||||
\(866\) | 1.00220e6 | + | 598403.i | 1.33634 | + | 0.797917i | ||||
\(867\) | 1.15804e6 | + | 743484.i | 1.54059 | + | 0.989085i | ||||
\(868\) | −13504.1 | − | 25061.0i | −0.0179237 | − | 0.0332628i | ||||
\(869\) | 186262. | + | 1.05635e6i | 0.246652 | + | 1.39884i | ||||
\(870\) | −31851.4 | − | 1971.63i | −0.0420814 | − | 0.00260488i | ||||
\(871\) | 771460. | − | 919391.i | 1.01690 | − | 1.21189i | ||||
\(872\) | −27125.2 | + | 615619.i | −0.0356731 | + | 0.809616i | ||||
\(873\) | −116064. | + | 421301.i | −0.152289 | + | 0.552795i | ||||
\(874\) | −242637. | + | 637374.i | −0.317640 | + | 0.834395i | ||||
\(875\) | 405388. | + | 71480.9i | 0.529487 | + | 0.0933628i | ||||
\(876\) | 3070.33 | − | 40056.8i | 0.00400108 | − | 0.0521998i | ||||
\(877\) | −1.04460e6 | − | 380202.i | −1.35816 | − | 0.494329i | −0.442673 | − | 0.896683i | \(-0.645970\pi\) |
−0.915484 | + | 0.402355i | \(0.868192\pi\) | |||||||
\(878\) | −537604. | + | 186783.i | −0.697387 | + | 0.242297i | ||||
\(879\) | −196547. | − | 258016.i | −0.254383 | − | 0.333940i | ||||
\(880\) | −583888. | − | 384475.i | −0.753987 | − | 0.496482i | ||||
\(881\) | 159252. | + | 275833.i | 0.205180 | + | 0.355382i | 0.950190 | − | 0.311671i | \(-0.100889\pi\) |
−0.745010 | + | 0.667053i | \(0.767555\pi\) | |||||||
\(882\) | −229294. | + | 465099.i | −0.294751 | + | 0.597872i | ||||
\(883\) | 1.17950e6 | + | 680983.i | 1.51278 | + | 0.873403i | 0.999888 | + | 0.0149496i | \(0.00475878\pi\) |
0.512891 | + | 0.858454i | \(0.328575\pi\) | |||||||
\(884\) | 1.40337e6 | − | 1.10903e6i | 1.79583 | − | 1.41918i | ||||
\(885\) | 784091. | − | 244200.i | 1.00111 | − | 0.311787i | ||||
\(886\) | 312604. | + | 270223.i | 0.398223 | + | 0.344234i | ||||
\(887\) | −574395. | − | 684537.i | −0.730068 | − | 0.870061i | 0.265500 | − | 0.964111i | \(-0.414463\pi\) |
−0.995567 | + | 0.0940502i | \(0.970019\pi\) | |||||||
\(888\) | 438354. | + | 949733.i | 0.555903 | + | 1.20441i | ||||
\(889\) | −424493. | + | 154503.i | −0.537115 | + | 0.195494i | ||||
\(890\) | 266234. | + | 326913.i | 0.336112 | + | 0.412716i | ||||
\(891\) | 1.22318e6 | + | 464757.i | 1.54076 | + | 0.585424i | ||||
\(892\) | −749666. | − | 155002.i | −0.942190 | − | 0.194808i | ||||
\(893\) | 287345. | − | 104585.i | 0.360330 | − | 0.131149i | ||||
\(894\) | 609192. | − | 450085.i | 0.762218 | − | 0.563145i | ||||
\(895\) | −319381. | − | 380624.i | −0.398716 | − | 0.475171i | ||||
\(896\) | 449574. | − | 113035.i | 0.559996 | − | 0.140798i | ||||
\(897\) | −1.85576e6 | + | 577962.i | −2.30641 | + | 0.718315i | ||||
\(898\) | 18951.6 | − | 1.29109e6i | 0.0235014 | − | 1.60104i | ||||
\(899\) | −3525.58 | − | 2035.49i | −0.00436226 | − | 0.00251855i | ||||
\(900\) | −386084. | − | 415248.i | −0.476647 | − | 0.512651i | ||||
\(901\) | 345225. | + | 597947.i | 0.425258 | + | 0.736568i | ||||
\(902\) | 747030. | + | 1.33890e6i | 0.918174 | + | 1.64564i | ||||
\(903\) | −253711. | − | 333057.i | −0.311145 | − | 0.408454i | ||||
\(904\) | 734084. | − | 96345.2i | 0.898274 | − | 0.117894i | ||||
\(905\) | −246837. | − | 89841.1i | −0.301379 | − | 0.109693i | ||||
\(906\) | 12838.6 | − | 13509.2i | 0.0156409 | − | 0.0164578i | ||||
\(907\) | 598527. | + | 105536.i | 0.727560 | + | 0.128289i | 0.525147 | − | 0.851012i | \(-0.324010\pi\) |
0.202414 | + | 0.979300i | \(0.435121\pi\) | |||||||
\(908\) | 310484. | + | 937826.i | 0.376589 | + | 1.13750i | ||||
\(909\) | 428479. | + | 434540.i | 0.518564 | + | 0.525898i | ||||
\(910\) | −56713.8 | − | 351755.i | −0.0684867 | − | 0.424774i | ||||
\(911\) | −437926. | + | 521900.i | −0.527672 | + | 0.628855i | −0.962377 | − | 0.271718i | \(-0.912408\pi\) |
0.434705 | + | 0.900573i | \(0.356853\pi\) | |||||||
\(912\) | 169664. | + | 382240.i | 0.203986 | + | 0.459564i | ||||
\(913\) | 72034.4 | + | 408527.i | 0.0864168 | + | 0.490094i | ||||
\(914\) | 236326. | + | 45256.8i | 0.282891 | + | 0.0541740i | ||||
\(915\) | 273402. | + | 175529.i | 0.326558 | + | 0.209656i | ||||
\(916\) | 86810.4 | + | 593754.i | 0.103462 | + | 0.707645i | ||||
\(917\) | 77274.3 | 0.0918960 | ||||||||
\(918\) | −1.40063e6 | − | 220447.i | −1.66203 | − | 0.261589i | ||||
\(919\) | − | 75930.6i | − | 0.0899054i | −0.998989 | − | 0.0449527i | \(-0.985686\pi\) | ||
0.998989 | − | 0.0449527i | \(-0.0143137\pi\) | |||||||
\(920\) | −606692. | − | 556377.i | −0.716791 | − | 0.657345i | ||||
\(921\) | −425766. | − | 824947.i | −0.501939 | − | 0.972538i | ||||
\(922\) | 1.04808e6 | + | 200709.i | 1.23292 | + | 0.236105i | ||||
\(923\) | 1.00698e6 | − | 177557.i | 1.18200 | − | 0.208418i | ||||
\(924\) | 335456. | − | 740087.i | 0.392908 | − | 0.866840i | ||||
\(925\) | −608624. | − | 510696.i | −0.711321 | − | 0.596869i | ||||
\(926\) | −80149.2 | − | 497108.i | −0.0934710 | − | 0.579734i | ||||
\(927\) | 362902. | − | 29183.5i | 0.422309 | − | 0.0339608i | ||||
\(928\) | 46220.2 | − | 47521.2i | 0.0536705 | − | 0.0551813i | ||||
\(929\) | 99898.9 | − | 566555.i | 0.115752 | − | 0.656464i | −0.870623 | − | 0.491951i | \(-0.836284\pi\) |
0.986375 | − | 0.164512i | \(-0.0526051\pi\) | |||||||
\(930\) | 8782.22 | + | 29728.6i | 0.0101540 | + | 0.0343723i | ||||
\(931\) | −99357.5 | + | 272982.i | −0.114631 | + | 0.314945i | ||||
\(932\) | −111522. | + | 180697.i | −0.128389 | + | 0.208026i | ||||
\(933\) | 468162. | + | 195848.i | 0.537815 | + | 0.224986i | ||||
\(934\) | −473906. | − | 849380.i | −0.543248 | − | 0.973662i | ||||
\(935\) | 1.14996e6 | − | 663929.i | 1.31540 | − | 0.759449i | ||||
\(936\) | −558175. | + | 1.05309e6i | −0.637116 | + | 1.20202i | ||||
\(937\) | 349863. | − | 605980.i | 0.398491 | − | 0.690207i | −0.595049 | − | 0.803689i | \(-0.702867\pi\) |
0.993540 | + | 0.113483i | \(0.0362007\pi\) | |||||||
\(938\) | −8671.18 | + | 590728.i | −0.00985536 | + | 0.671401i | ||||
\(939\) | 487240. | + | 109815.i | 0.552601 | + | 0.124546i | ||||
\(940\) | −10833.2 | + | 368930.i | −0.0122603 | + | 0.417531i | ||||
\(941\) | −95788.6 | + | 80376.1i | −0.108177 | + | 0.0907712i | −0.695272 | − | 0.718747i | \(-0.744716\pi\) |
0.587095 | + | 0.809518i | \(0.300272\pi\) | |||||||
\(942\) | −1.08778e6 | − | 473932.i | −1.22586 | − | 0.534090i | ||||
\(943\) | 617455. | + | 1.69644e6i | 0.694356 | + | 1.90773i | ||||
\(944\) | −676531. | + | 1.56608e6i | −0.759178 | + | 1.75739i | ||||
\(945\) | −174286. | + | 222247.i | −0.195163 | + | 0.248870i | ||||
\(946\) | −828269. | − | 1.01704e6i | −0.925527 | − | 1.13647i | ||||
\(947\) | −72880.8 | − | 200238.i | −0.0812668 | − | 0.223279i | 0.892404 | − | 0.451237i | \(-0.149017\pi\) |
−0.973671 | + | 0.227958i | \(0.926795\pi\) | |||||||
\(948\) | 553509. | + | 541717.i | 0.615897 | + | 0.602776i | ||||
\(949\) | 49136.4 | − | 41230.4i | 0.0545596 | − | 0.0457809i | ||||
\(950\) | −240308. | − | 207729.i | −0.266270 | − | 0.230170i | ||||
\(951\) | 833080. | − | 902763.i | 0.921140 | − | 0.998189i | ||||
\(952\) | −190915. | + | 859536.i | −0.210653 | + | 0.948398i | ||||
\(953\) | 235877. | − | 408551.i | 0.259717 | − | 0.449842i | −0.706449 | − | 0.707764i | \(-0.749704\pi\) |
0.966166 | + | 0.257921i | \(0.0830375\pi\) | |||||||
\(954\) | −371056. | − | 272003.i | −0.407701 | − | 0.298866i | ||||
\(955\) | −71667.0 | + | 41376.9i | −0.0785801 | + | 0.0453682i | ||||
\(956\) | −340686. | + | 856893.i | −0.372768 | + | 0.937585i | ||||
\(957\) | −14762.5 | − | 115258.i | −0.0161189 | − | 0.125848i | ||||
\(958\) | 433850. | − | 150735.i | 0.472725 | − | 0.164241i | ||||
\(959\) | 107641. | − | 295740.i | 0.117041 | − | 0.321568i | ||||
\(960\) | −504388. | + | 19843.9i | −0.547296 | + | 0.0215320i | ||||
\(961\) | 159681. | − | 905596.i | 0.172905 | − | 0.980591i | ||||
\(962\) | −594175. | + | 1.56081e6i | −0.642043 | + | 1.68656i | ||||
\(963\) | 67040.4 | − | 708904.i | 0.0722910 | − | 0.764425i | ||||
\(964\) | 67201.6 | + | 59836.5i | 0.0723145 | + | 0.0643890i | ||||
\(965\) | 158164. | + | 132715.i | 0.169845 | + | 0.142517i | ||||
\(966\) | 528669. | − | 797456.i | 0.566539 | − | 0.854580i | ||||
\(967\) | 822555. | − | 145039.i | 0.879654 | − | 0.155107i | 0.284459 | − | 0.958688i | \(-0.408186\pi\) |
0.595195 | + | 0.803581i | \(0.297075\pi\) | |||||||
\(968\) | 616162. | − | 1.48586e6i | 0.657573 | − | 1.58573i | ||||
\(969\) | −793439. | − | 37433.9i | −0.845018 | − | 0.0398673i | ||||
\(970\) | −253711. | − | 151488.i | −0.269647 | − | 0.161003i | ||||
\(971\) | − | 42984.1i | − | 0.0455900i | −0.999740 | − | 0.0227950i | \(-0.992743\pi\) | ||
0.999740 | − | 0.0227950i | \(-0.00725650\pi\) | |||||||
\(972\) | 913388. | − | 241536.i | 0.966769 | − | 0.255652i | ||||
\(973\) | −243450. | −0.257148 | ||||||||
\(974\) | −219206. | + | 367124.i | −0.231065 | + | 0.386985i | ||||
\(975\) | 42663.3 | − | 904280.i | 0.0448792 | − | 0.951248i | ||||
\(976\) | −646661. | + | 193222.i | −0.678855 | + | 0.202841i | ||||
\(977\) | −252596. | − | 1.43254e6i | −0.264629 | − | 1.50078i | −0.770090 | − | 0.637935i | \(-0.779789\pi\) |
0.505461 | − | 0.862850i | \(-0.331322\pi\) | |||||||
\(978\) | −53819.9 | − | 35679.6i | −0.0562684 | − | 0.0373028i | ||||
\(979\) | −986780. | + | 1.17600e6i | −1.02957 | + | 1.22699i | ||||
\(980\) | −261876. | − | 233175.i | −0.272674 | − | 0.242789i | ||||
\(981\) | 776434. | + | 73426.7i | 0.806802 | + | 0.0762985i | ||||
\(982\) | −682595. | − | 259852.i | −0.707848 | − | 0.269466i | ||||
\(983\) | −479465. | − | 84542.7i | −0.496192 | − | 0.0874921i | −0.0800487 | − | 0.996791i | \(-0.525508\pi\) |
−0.416144 | + | 0.909299i | \(0.636619\pi\) | |||||||
\(984\) | 1.00147e6 | + | 471770.i | 1.03430 | + | 0.487237i | ||||
\(985\) | −886323. | − | 322595.i | −0.913524 | − | 0.332495i | ||||
\(986\) | 41323.3 | + | 118938.i | 0.0425051 | + | 0.122340i | ||||
\(987\) | −425514. | + | 54500.8i | −0.436797 | + | 0.0559459i | ||||
\(988\) | −246688. | + | 620468.i | −0.252717 | + | 0.635632i | ||||
\(989\) | −772218. | − | 1.33752e6i | −0.789491 | − | 1.36744i | ||||
\(990\) | −523110. | + | 713606.i | −0.533731 | + | 0.728095i | ||||
\(991\) | −1.40439e6 | − | 810824.i | −1.43001 | − | 0.825618i | −0.432892 | − | 0.901446i | \(-0.642507\pi\) |
−0.997121 | + | 0.0758274i | \(0.975840\pi\) | |||||||
\(992\) | −58732.3 | − | 26401.3i | −0.0596834 | − | 0.0268289i | ||||
\(993\) | 540031. | + | 498347.i | 0.547672 | + | 0.505398i | ||||
\(994\) | −329162. | + | 380787.i | −0.333147 | + | 0.385397i | ||||
\(995\) | 216828. | + | 258406.i | 0.219013 | + | 0.261009i | ||||
\(996\) | 214062. | + | 209501.i | 0.215785 | + | 0.211188i | ||||
\(997\) | 539576. | − | 196390.i | 0.542828 | − | 0.197573i | −0.0560290 | − | 0.998429i | \(-0.517844\pi\) |
0.598857 | + | 0.800856i | \(0.295622\pi\) | |||||||
\(998\) | −522218. | + | 425289.i | −0.524313 | + | 0.426995i | ||||
\(999\) | 1.22836e6 | − | 493709.i | 1.23082 | − | 0.494698i |
(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 | 108.5.j.a.7.13 | ✓ | 420 | |
4.3 | odd | 2 | inner | 108.5.j.a.7.28 | yes | 420 | |
27.4 | even | 9 | inner | 108.5.j.a.31.28 | yes | 420 | |
108.31 | odd | 18 | inner | 108.5.j.a.31.13 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.5.j.a.7.13 | ✓ | 420 | 1.1 | even | 1 | trivial | |
108.5.j.a.7.28 | yes | 420 | 4.3 | odd | 2 | inner | |
108.5.j.a.31.13 | yes | 420 | 108.31 | odd | 18 | inner | |
108.5.j.a.31.28 | yes | 420 | 27.4 | even | 9 | inner |