Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,6,Mod(21,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.21");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.l (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.8307055850\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 21.19 | ||
Character | \(\chi\) | \(=\) | 80.21 |
Dual form | 80.6.l.a.61.19 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.350398 | + | 5.64599i | −0.0619422 | + | 0.998080i | ||||
\(3\) | −18.9032 | + | 18.9032i | −1.21264 | + | 1.21264i | −0.242488 | + | 0.970154i | \(0.577964\pi\) |
−0.970154 | + | 0.242488i | \(0.922036\pi\) | |||||||
\(4\) | −31.7544 | − | 3.95669i | −0.992326 | − | 0.123647i | ||||
\(5\) | 17.6777 | + | 17.6777i | 0.316228 | + | 0.316228i | ||||
\(6\) | −100.104 | − | 113.351i | −1.13520 | − | 1.28543i | ||||
\(7\) | − | 174.451i | − | 1.34564i | −0.739807 | − | 0.672819i | \(-0.765083\pi\) | ||
0.739807 | − | 0.672819i | \(-0.234917\pi\) | |||||||
\(8\) | 33.4661 | − | 177.899i | 0.184876 | − | 0.982762i | ||||
\(9\) | − | 471.664i | − | 1.94100i | ||||||
\(10\) | −106.002 | + | 93.6138i | −0.335208 | + | 0.296033i | ||||
\(11\) | 189.274 | + | 189.274i | 0.471638 | + | 0.471638i | 0.902444 | − | 0.430806i | \(-0.141771\pi\) |
−0.430806 | + | 0.902444i | \(0.641771\pi\) | |||||||
\(12\) | 675.056 | − | 525.467i | 1.35328 | − | 1.05340i | ||||
\(13\) | −782.038 | + | 782.038i | −1.28342 | + | 1.28342i | −0.344715 | + | 0.938707i | \(0.612024\pi\) |
−0.938707 | + | 0.344715i | \(0.887976\pi\) | |||||||
\(14\) | 984.949 | + | 61.1273i | 1.34305 | + | 0.0833518i | ||||
\(15\) | −668.330 | −0.766943 | ||||||||
\(16\) | 992.689 | + | 251.285i | 0.969423 | + | 0.245395i | ||||
\(17\) | −923.717 | −0.775205 | −0.387603 | − | 0.921827i | \(-0.626697\pi\) | ||||
−0.387603 | + | 0.921827i | \(0.626697\pi\) | |||||||
\(18\) | 2663.01 | + | 165.270i | 1.93728 | + | 0.120230i | ||||
\(19\) | 898.863 | − | 898.863i | 0.571228 | − | 0.571228i | −0.361244 | − | 0.932471i | \(-0.617648\pi\) |
0.932471 | + | 0.361244i | \(0.117648\pi\) | |||||||
\(20\) | −491.399 | − | 631.290i | −0.274701 | − | 0.352902i | ||||
\(21\) | 3297.69 | + | 3297.69i | 1.63178 | + | 1.63178i | ||||
\(22\) | −1134.96 | + | 1002.32i | −0.499947 | + | 0.441518i | ||||
\(23\) | − | 3820.93i | − | 1.50609i | −0.657971 | − | 0.753043i | \(-0.728585\pi\) | ||
0.657971 | − | 0.753043i | \(-0.271415\pi\) | |||||||
\(24\) | 2730.25 | + | 3995.48i | 0.967550 | + | 1.41593i | ||||
\(25\) | 625.000i | 0.200000i | ||||||||
\(26\) | −4141.36 | − | 4689.41i | −1.20146 | − | 1.36046i | ||||
\(27\) | 4322.49 | + | 4322.49i | 1.14110 | + | 1.14110i | ||||
\(28\) | −690.248 | + | 5539.59i | −0.166384 | + | 1.33531i | ||||
\(29\) | 978.529 | − | 978.529i | 0.216062 | − | 0.216062i | −0.590775 | − | 0.806837i | \(-0.701178\pi\) |
0.806837 | + | 0.590775i | \(0.201178\pi\) | |||||||
\(30\) | 234.182 | − | 3773.39i | 0.0475061 | − | 0.765470i | ||||
\(31\) | 4974.58 | 0.929719 | 0.464860 | − | 0.885384i | \(-0.346105\pi\) | ||||
0.464860 | + | 0.885384i | \(0.346105\pi\) | |||||||
\(32\) | −1766.59 | + | 5516.67i | −0.304972 | + | 0.952361i | ||||
\(33\) | −7155.78 | −1.14386 | ||||||||
\(34\) | 323.669 | − | 5215.30i | 0.0480179 | − | 0.773717i | ||||
\(35\) | 3083.89 | − | 3083.89i | 0.425528 | − | 0.425528i | ||||
\(36\) | −1866.23 | + | 14977.4i | −0.239998 | + | 1.92611i | ||||
\(37\) | −5788.44 | − | 5788.44i | −0.695116 | − | 0.695116i | 0.268237 | − | 0.963353i | \(-0.413559\pi\) |
−0.963353 | + | 0.268237i | \(0.913559\pi\) | |||||||
\(38\) | 4760.01 | + | 5389.93i | 0.534748 | + | 0.605514i | ||||
\(39\) | − | 29566.1i | − | 3.11267i | ||||||
\(40\) | 3736.44 | − | 2553.23i | 0.369240 | − | 0.252314i | ||||
\(41\) | − | 639.645i | − | 0.0594264i | −0.999558 | − | 0.0297132i | \(-0.990541\pi\) | ||
0.999558 | − | 0.0297132i | \(-0.00945940\pi\) | |||||||
\(42\) | −19774.2 | + | 17463.2i | −1.72972 | + | 1.52757i | ||||
\(43\) | 8062.21 | + | 8062.21i | 0.664941 | + | 0.664941i | 0.956540 | − | 0.291600i | \(-0.0941875\pi\) |
−0.291600 | + | 0.956540i | \(0.594188\pi\) | |||||||
\(44\) | −5261.39 | − | 6759.19i | −0.409703 | − | 0.526336i | ||||
\(45\) | 8337.92 | − | 8337.92i | 0.613800 | − | 0.613800i | ||||
\(46\) | 21573.0 | + | 1338.85i | 1.50319 | + | 0.0932903i | ||||
\(47\) | 22043.6 | 1.45559 | 0.727794 | − | 0.685796i | \(-0.240546\pi\) | ||||
0.727794 | + | 0.685796i | \(0.240546\pi\) | |||||||
\(48\) | −23515.1 | + | 14014.9i | −1.47314 | + | 0.877987i | ||||
\(49\) | −13626.1 | −0.810743 | ||||||||
\(50\) | −3528.74 | − | 218.999i | −0.199616 | − | 0.0123884i | ||||
\(51\) | 17461.2 | − | 17461.2i | 0.940047 | − | 0.940047i | ||||
\(52\) | 27927.5 | − | 21738.9i | 1.43226 | − | 1.11488i | ||||
\(53\) | −14377.5 | − | 14377.5i | −0.703063 | − | 0.703063i | 0.262003 | − | 0.965067i | \(-0.415617\pi\) |
−0.965067 | + | 0.262003i | \(0.915617\pi\) | |||||||
\(54\) | −25919.3 | + | 22890.2i | −1.20959 | + | 1.06823i | ||||
\(55\) | 6691.84i | 0.298290i | ||||||||
\(56\) | −31034.6 | − | 5838.20i | −1.32244 | − | 0.248776i | ||||
\(57\) | 33982.8i | 1.38539i | ||||||||
\(58\) | 5181.89 | + | 5867.64i | 0.202264 | + | 0.229031i | ||||
\(59\) | −28515.2 | − | 28515.2i | −1.06646 | − | 1.06646i | −0.997628 | − | 0.0688356i | \(-0.978072\pi\) |
−0.0688356 | − | 0.997628i | \(-0.521928\pi\) | |||||||
\(60\) | 21222.4 | + | 2644.37i | 0.761057 | + | 0.0948298i | ||||
\(61\) | 19210.1 | − | 19210.1i | 0.661007 | − | 0.661007i | −0.294611 | − | 0.955617i | \(-0.595190\pi\) |
0.955617 | + | 0.294611i | \(0.0951899\pi\) | |||||||
\(62\) | −1743.08 | + | 28086.4i | −0.0575889 | + | 0.927934i | ||||
\(63\) | −82282.3 | −2.61189 | ||||||||
\(64\) | −30528.0 | − | 11907.2i | −0.931642 | − | 0.363378i | ||||
\(65\) | −27649.2 | −0.811708 | ||||||||
\(66\) | 2507.37 | − | 40401.5i | 0.0708531 | − | 1.14166i | ||||
\(67\) | −25147.9 | + | 25147.9i | −0.684407 | + | 0.684407i | −0.960990 | − | 0.276583i | \(-0.910798\pi\) |
0.276583 | + | 0.960990i | \(0.410798\pi\) | |||||||
\(68\) | 29332.1 | + | 3654.86i | 0.769257 | + | 0.0958514i | ||||
\(69\) | 72228.0 | + | 72228.0i | 1.82634 | + | 1.82634i | ||||
\(70\) | 16331.0 | + | 18492.2i | 0.398353 | + | 0.451069i | ||||
\(71\) | − | 52863.6i | − | 1.24454i | −0.782801 | − | 0.622272i | \(-0.786210\pi\) | ||
0.782801 | − | 0.622272i | \(-0.213790\pi\) | |||||||
\(72\) | −83908.5 | − | 15784.8i | −1.90755 | − | 0.358845i | ||||
\(73\) | − | 20764.0i | − | 0.456040i | −0.973656 | − | 0.228020i | \(-0.926775\pi\) | ||
0.973656 | − | 0.228020i | \(-0.0732252\pi\) | |||||||
\(74\) | 34709.7 | − | 30653.2i | 0.736838 | − | 0.650724i | ||||
\(75\) | −11814.5 | − | 11814.5i | −0.242529 | − | 0.242529i | ||||
\(76\) | −32099.4 | + | 24986.4i | −0.637475 | + | 0.496214i | ||||
\(77\) | 33019.0 | − | 33019.0i | 0.634655 | − | 0.634655i | ||||
\(78\) | 166930. | + | 10359.9i | 3.10669 | + | 0.192805i | ||||
\(79\) | −51350.5 | −0.925714 | −0.462857 | − | 0.886433i | \(-0.653176\pi\) | ||||
−0.462857 | + | 0.886433i | \(0.653176\pi\) | |||||||
\(80\) | 13106.3 | + | 21990.6i | 0.228958 | + | 0.384159i | ||||
\(81\) | −48803.7 | −0.826494 | ||||||||
\(82\) | 3611.43 | + | 224.130i | 0.0593123 | + | 0.00368100i | ||||
\(83\) | 18480.4 | − | 18480.4i | 0.294454 | − | 0.294454i | −0.544383 | − | 0.838837i | \(-0.683236\pi\) |
0.838837 | + | 0.544383i | \(0.183236\pi\) | |||||||
\(84\) | −91668.3 | − | 117764.i | −1.41749 | − | 1.82102i | ||||
\(85\) | −16329.2 | − | 16329.2i | −0.245141 | − | 0.245141i | ||||
\(86\) | −48344.1 | + | 42694.2i | −0.704852 | + | 0.622476i | ||||
\(87\) | 36994.7i | 0.524012i | ||||||||
\(88\) | 40005.9 | − | 27337.4i | 0.550703 | − | 0.376314i | ||||
\(89\) | 53694.4i | 0.718545i | 0.933233 | + | 0.359273i | \(0.116975\pi\) | ||||
−0.933233 | + | 0.359273i | \(0.883025\pi\) | |||||||
\(90\) | 44154.2 | + | 49997.4i | 0.574601 | + | 0.650641i | ||||
\(91\) | 136427. | + | 136427.i | 1.72702 | + | 1.72702i | ||||
\(92\) | −15118.2 | + | 121332.i | −0.186222 | + | 1.49453i | ||||
\(93\) | −94035.5 | + | 94035.5i | −1.12742 | + | 1.12742i | ||||
\(94\) | −7724.04 | + | 124458.i | −0.0901623 | + | 1.45279i | ||||
\(95\) | 31779.6 | 0.361276 | ||||||||
\(96\) | −70888.6 | − | 137677.i | −0.785051 | − | 1.52470i | ||||
\(97\) | 52155.5 | 0.562821 | 0.281411 | − | 0.959587i | \(-0.409198\pi\) | ||||
0.281411 | + | 0.959587i | \(0.409198\pi\) | |||||||
\(98\) | 4774.58 | − | 76933.1i | 0.0502192 | − | 0.809186i | ||||
\(99\) | 89273.7 | − | 89273.7i | 0.915452 | − | 0.915452i | ||||
\(100\) | 2472.93 | − | 19846.5i | 0.0247293 | − | 0.198465i | ||||
\(101\) | 5024.10 | + | 5024.10i | 0.0490066 | + | 0.0490066i | 0.731185 | − | 0.682179i | \(-0.238967\pi\) |
−0.682179 | + | 0.731185i | \(0.738967\pi\) | |||||||
\(102\) | 92467.6 | + | 104704.i | 0.880013 | + | 0.996470i | ||||
\(103\) | − | 129174.i | − | 1.19973i | −0.800102 | − | 0.599864i | \(-0.795222\pi\) | ||
0.800102 | − | 0.599864i | \(-0.204778\pi\) | |||||||
\(104\) | 112952. | + | 165296.i | 1.02402 | + | 1.49857i | ||||
\(105\) | 116591.i | 1.03203i | ||||||||
\(106\) | 86213.3 | − | 76137.5i | 0.745263 | − | 0.658164i | ||||
\(107\) | −137173. | − | 137173.i | −1.15827 | − | 1.15827i | −0.984847 | − | 0.173425i | \(-0.944516\pi\) |
−0.173425 | − | 0.984847i | \(-0.555484\pi\) | |||||||
\(108\) | −120156. | − | 154361.i | −0.991253 | − | 1.27344i | ||||
\(109\) | 120643. | − | 120643.i | 0.972605 | − | 0.972605i | −0.0270299 | − | 0.999635i | \(-0.508605\pi\) |
0.999635 | + | 0.0270299i | \(0.00860494\pi\) | |||||||
\(110\) | −37782.1 | − | 2344.81i | −0.297717 | − | 0.0184768i | ||||
\(111\) | 218840. | 1.68585 | ||||||||
\(112\) | 43836.9 | − | 173176.i | 0.330213 | − | 1.30449i | ||||
\(113\) | −97424.5 | −0.717748 | −0.358874 | − | 0.933386i | \(-0.616839\pi\) | ||||
−0.358874 | + | 0.933386i | \(0.616839\pi\) | |||||||
\(114\) | −191867. | − | 11907.5i | −1.38273 | − | 0.0858141i | ||||
\(115\) | 67545.2 | − | 67545.2i | 0.476266 | − | 0.476266i | ||||
\(116\) | −34944.4 | + | 27200.9i | −0.241120 | + | 0.187689i | ||||
\(117\) | 368859. | + | 368859.i | 2.49113 | + | 2.49113i | ||||
\(118\) | 170988. | − | 151005.i | 1.13047 | − | 0.998357i | ||||
\(119\) | 161143.i | 1.04315i | ||||||||
\(120\) | −22366.4 | + | 118895.i | −0.141789 | + | 0.753722i | ||||
\(121\) | − | 89401.8i | − | 0.555115i | ||||||
\(122\) | 101729. | + | 115191.i | 0.618793 | + | 0.700682i | ||||
\(123\) | 12091.4 | + | 12091.4i | 0.0720630 | + | 0.0720630i | ||||
\(124\) | −157965. | − | 19682.9i | −0.922585 | − | 0.114957i | ||||
\(125\) | −11048.5 | + | 11048.5i | −0.0632456 | + | 0.0632456i | ||||
\(126\) | 28831.6 | − | 464565.i | 0.161786 | − | 2.60687i | ||||
\(127\) | −64797.8 | −0.356493 | −0.178247 | − | 0.983986i | \(-0.557042\pi\) | ||||
−0.178247 | + | 0.983986i | \(0.557042\pi\) | |||||||
\(128\) | 77924.8 | − | 168189.i | 0.420388 | − | 0.907344i | ||||
\(129\) | −304804. | −1.61267 | ||||||||
\(130\) | 9688.24 | − | 156107.i | 0.0502790 | − | 0.810149i | ||||
\(131\) | −50841.6 | + | 50841.6i | −0.258846 | + | 0.258846i | −0.824585 | − | 0.565739i | \(-0.808591\pi\) |
0.565739 | + | 0.824585i | \(0.308591\pi\) | |||||||
\(132\) | 227228. | + | 28313.2i | 1.13508 | + | 0.141434i | ||||
\(133\) | −156807. | − | 156807.i | −0.768666 | − | 0.768666i | ||||
\(134\) | −133173. | − | 150797.i | −0.640700 | − | 0.725487i | ||||
\(135\) | 152823.i | 0.721696i | ||||||||
\(136\) | −30913.2 | + | 164328.i | −0.143317 | + | 0.761842i | ||||
\(137\) | 130279.i | 0.593025i | 0.955029 | + | 0.296512i | \(0.0958236\pi\) | ||||
−0.955029 | + | 0.296512i | \(0.904176\pi\) | |||||||
\(138\) | −433107. | + | 382490.i | −1.93597 | + | 1.70971i | ||||
\(139\) | −291251. | − | 291251.i | −1.27859 | − | 1.27859i | −0.941458 | − | 0.337131i | \(-0.890544\pi\) |
−0.337131 | − | 0.941458i | \(-0.609456\pi\) | |||||||
\(140\) | −110129. | + | 85725.1i | −0.474878 | + | 0.369648i | ||||
\(141\) | −416696. | + | 416696.i | −1.76511 | + | 1.76511i | ||||
\(142\) | 298467. | + | 18523.3i | 1.24215 | + | 0.0770898i | ||||
\(143\) | −296039. | −1.21062 | ||||||||
\(144\) | 118522. | − | 468216.i | 0.476314 | − | 1.88165i | ||||
\(145\) | 34596.2 | 0.136650 | ||||||||
\(146\) | 117233. | + | 7275.65i | 0.455164 | + | 0.0282481i | ||||
\(147\) | 257578. | − | 257578.i | 0.983141 | − | 0.983141i | ||||
\(148\) | 160906. | + | 206712.i | 0.603833 | + | 0.775730i | ||||
\(149\) | 44747.5 | + | 44747.5i | 0.165121 | + | 0.165121i | 0.784831 | − | 0.619710i | \(-0.212750\pi\) |
−0.619710 | + | 0.784831i | \(0.712750\pi\) | |||||||
\(150\) | 70844.5 | − | 62564.9i | 0.257086 | − | 0.227040i | ||||
\(151\) | 235506.i | 0.840544i | 0.907398 | + | 0.420272i | \(0.138065\pi\) | ||||
−0.907398 | + | 0.420272i | \(0.861935\pi\) | |||||||
\(152\) | −129825. | − | 189988.i | −0.455775 | − | 0.666987i | ||||
\(153\) | 435684.i | 1.50468i | ||||||||
\(154\) | 174855. | + | 197995.i | 0.594124 | + | 0.672748i | ||||
\(155\) | 87938.9 | + | 87938.9i | 0.294003 | + | 0.294003i | ||||
\(156\) | −116984. | + | 938855.i | −0.384870 | + | 3.08878i | ||||
\(157\) | −310538. | + | 310538.i | −1.00546 | + | 1.00546i | −0.00547617 | + | 0.999985i | \(0.501743\pi\) |
−0.999985 | + | 0.00547617i | \(0.998257\pi\) | |||||||
\(158\) | 17993.1 | − | 289924.i | 0.0573408 | − | 0.923936i | ||||
\(159\) | 543563. | 1.70513 | ||||||||
\(160\) | −128751. | + | 66292.6i | −0.397604 | + | 0.204722i | ||||
\(161\) | −666566. | −2.02665 | ||||||||
\(162\) | 17100.7 | − | 275545.i | 0.0511949 | − | 0.824907i | ||||
\(163\) | 191250. | − | 191250.i | 0.563810 | − | 0.563810i | −0.366578 | − | 0.930387i | \(-0.619471\pi\) |
0.930387 | + | 0.366578i | \(0.119471\pi\) | |||||||
\(164\) | −2530.88 | + | 20311.6i | −0.00734787 | + | 0.0589704i | ||||
\(165\) | −126497. | − | 126497.i | −0.361719 | − | 0.361719i | ||||
\(166\) | 97864.9 | + | 110816.i | 0.275649 | + | 0.312128i | ||||
\(167\) | 494594.i | 1.37233i | 0.727447 | + | 0.686164i | \(0.240707\pi\) | ||||
−0.727447 | + | 0.686164i | \(0.759293\pi\) | |||||||
\(168\) | 697016. | − | 476294.i | 1.90533 | − | 1.30197i | ||||
\(169\) | − | 851875.i | − | 2.29435i | ||||||
\(170\) | 97916.0 | − | 86472.6i | 0.259855 | − | 0.229486i | ||||
\(171\) | −423961. | − | 423961.i | −1.10876 | − | 1.10876i | ||||
\(172\) | −224111. | − | 287911.i | −0.577620 | − | 0.742056i | ||||
\(173\) | −1961.84 | + | 1961.84i | −0.00498366 | + | 0.00498366i | −0.709594 | − | 0.704611i | \(-0.751122\pi\) |
0.704611 | + | 0.709594i | \(0.251122\pi\) | |||||||
\(174\) | −208872. | − | 12962.9i | −0.523006 | − | 0.0324585i | ||||
\(175\) | 109032. | 0.269128 | ||||||||
\(176\) | 140328. | + | 235452.i | 0.341479 | + | 0.572955i | ||||
\(177\) | 1.07806e6 | 2.58648 | ||||||||
\(178\) | −303158. | − | 18814.4i | −0.717166 | − | 0.0445083i | ||||
\(179\) | 21400.2 | − | 21400.2i | 0.0499211 | − | 0.0499211i | −0.681706 | − | 0.731627i | \(-0.738761\pi\) |
0.731627 | + | 0.681706i | \(0.238761\pi\) | |||||||
\(180\) | −297757. | + | 231776.i | −0.684984 | + | 0.533195i | ||||
\(181\) | 50340.2 | + | 50340.2i | 0.114214 | + | 0.114214i | 0.761904 | − | 0.647690i | \(-0.224265\pi\) |
−0.647690 | + | 0.761904i | \(0.724265\pi\) | |||||||
\(182\) | −818072. | + | 722464.i | −1.83068 | + | 1.61673i | ||||
\(183\) | 726267.i | 1.60313i | ||||||||
\(184\) | −679740. | − | 127872.i | −1.48012 | − | 0.278439i | ||||
\(185\) | − | 204652.i | − | 0.439630i | ||||||
\(186\) | −497974. | − | 563874.i | −1.05542 | − | 1.19509i | ||||
\(187\) | −174836. | − | 174836.i | −0.365616 | − | 0.365616i | ||||
\(188\) | −699983. | − | 87219.8i | −1.44442 | − | 0.179978i | ||||
\(189\) | 754063. | − | 754063.i | 1.53551 | − | 1.53551i | ||||
\(190\) | −11135.5 | + | 179427.i | −0.0223782 | + | 0.360582i | ||||
\(191\) | −170075. | −0.337332 | −0.168666 | − | 0.985673i | \(-0.553946\pi\) | ||||
−0.168666 | + | 0.985673i | \(0.553946\pi\) | |||||||
\(192\) | 802163. | − | 351994.i | 1.57040 | − | 0.689101i | ||||
\(193\) | 157998. | 0.305323 | 0.152661 | − | 0.988279i | \(-0.451216\pi\) | ||||
0.152661 | + | 0.988279i | \(0.451216\pi\) | |||||||
\(194\) | −18275.2 | + | 294469.i | −0.0348624 | + | 0.561740i | ||||
\(195\) | 522660. | − | 522660.i | 0.984311 | − | 0.984311i | ||||
\(196\) | 432691. | + | 53914.4i | 0.804521 | + | 0.100246i | ||||
\(197\) | −527247. | − | 527247.i | −0.967939 | − | 0.967939i | 0.0315624 | − | 0.999502i | \(-0.489952\pi\) |
−0.999502 | + | 0.0315624i | \(0.989952\pi\) | |||||||
\(198\) | 472757. | + | 535320.i | 0.856989 | + | 0.970399i | ||||
\(199\) | − | 665722.i | − | 1.19168i | −0.803103 | − | 0.595841i | \(-0.796819\pi\) | ||
0.803103 | − | 0.595841i | \(-0.203181\pi\) | |||||||
\(200\) | 111187. | + | 20916.3i | 0.196552 | + | 0.0369752i | ||||
\(201\) | − | 950753.i | − | 1.65988i | ||||||
\(202\) | −30126.5 | + | 26605.6i | −0.0519481 | + | 0.0458770i | ||||
\(203\) | −170705. | − | 170705.i | −0.290742 | − | 0.290742i | ||||
\(204\) | −623560. | + | 485383.i | −1.04907 | + | 0.816600i | ||||
\(205\) | 11307.4 | − | 11307.4i | 0.0187923 | − | 0.0187923i | ||||
\(206\) | 729316. | + | 45262.4i | 1.19742 | + | 0.0743137i | ||||
\(207\) | −1.80220e6 | −2.92332 | ||||||||
\(208\) | −972835. | + | 579807.i | −1.55913 | + | 0.929233i | ||||
\(209\) | 340262. | 0.538826 | ||||||||
\(210\) | −658271. | − | 40853.2i | −1.03005 | − | 0.0639261i | ||||
\(211\) | −53299.1 | + | 53299.1i | −0.0824164 | + | 0.0824164i | −0.747113 | − | 0.664697i | \(-0.768561\pi\) |
0.664697 | + | 0.747113i | \(0.268561\pi\) | |||||||
\(212\) | 399663. | + | 513438.i | 0.610737 | + | 0.784600i | ||||
\(213\) | 999292. | + | 999292.i | 1.50919 | + | 1.50919i | ||||
\(214\) | 822546. | − | 726415.i | 1.22779 | − | 1.08430i | ||||
\(215\) | 285042.i | 0.420545i | ||||||||
\(216\) | 913623. | − | 624309.i | 1.33239 | − | 0.910469i | ||||
\(217\) | − | 867820.i | − | 1.25107i | ||||||
\(218\) | 638877. | + | 723423.i | 0.910492 | + | 1.03098i | ||||
\(219\) | 392506. | + | 392506.i | 0.553014 | + | 0.553014i | ||||
\(220\) | 26477.5 | − | 212496.i | 0.0368826 | − | 0.296001i | ||||
\(221\) | 722382. | − | 722382.i | 0.994916 | − | 0.994916i | ||||
\(222\) | −76681.2 | + | 1.23557e6i | −0.104426 | + | 1.68262i | ||||
\(223\) | 614968. | 0.828114 | 0.414057 | − | 0.910251i | \(-0.364111\pi\) | ||||
0.414057 | + | 0.910251i | \(0.364111\pi\) | |||||||
\(224\) | 962388. | + | 308183.i | 1.28153 | + | 0.410383i | ||||
\(225\) | 294790. | 0.388201 | ||||||||
\(226\) | 34137.4 | − | 550058.i | 0.0444589 | − | 0.716370i | ||||
\(227\) | 56125.4 | − | 56125.4i | 0.0722928 | − | 0.0722928i | −0.670036 | − | 0.742329i | \(-0.733721\pi\) |
0.742329 | + | 0.670036i | \(0.233721\pi\) | |||||||
\(228\) | 134459. | − | 1.07911e6i | 0.171299 | − | 1.37476i | ||||
\(229\) | 1.08807e6 | + | 1.08807e6i | 1.37110 | + | 1.37110i | 0.858818 | + | 0.512281i | \(0.171199\pi\) |
0.512281 | + | 0.858818i | \(0.328801\pi\) | |||||||
\(230\) | 357692. | + | 405027.i | 0.445851 | + | 0.504853i | ||||
\(231\) | 1.24833e6i | 1.53922i | ||||||||
\(232\) | −141332. | − | 206827.i | −0.172393 | − | 0.252282i | ||||
\(233\) | − | 227380.i | − | 0.274387i | −0.990544 | − | 0.137193i | \(-0.956192\pi\) | ||
0.990544 | − | 0.137193i | \(-0.0438081\pi\) | |||||||
\(234\) | −2.21182e6 | + | 1.95333e6i | −2.64065 | + | 2.33204i | ||||
\(235\) | 389680. | + | 389680.i | 0.460297 | + | 0.460297i | ||||
\(236\) | 792658. | + | 1.01831e6i | 0.926415 | + | 1.19014i | ||||
\(237\) | 970690. | − | 970690.i | 1.12256 | − | 1.12256i | ||||
\(238\) | −909814. | − | 56464.3i | −1.04114 | − | 0.0646148i | ||||
\(239\) | −723958. | −0.819820 | −0.409910 | − | 0.912126i | \(-0.634440\pi\) | ||||
−0.409910 | + | 0.912126i | \(0.634440\pi\) | |||||||
\(240\) | −663444. | − | 167941.i | −0.743492 | − | 0.188204i | ||||
\(241\) | −1.53614e6 | −1.70368 | −0.851840 | − | 0.523803i | \(-0.824513\pi\) | ||||
−0.851840 | + | 0.523803i | \(0.824513\pi\) | |||||||
\(242\) | 504762. | + | 31326.2i | 0.554049 | + | 0.0343850i | ||||
\(243\) | −127818. | + | 127818.i | −0.138860 | + | 0.138860i | ||||
\(244\) | −686016. | + | 533999.i | −0.737666 | + | 0.574203i | ||||
\(245\) | −240879. | − | 240879.i | −0.256379 | − | 0.256379i | ||||
\(246\) | −72504.5 | + | 64030.9i | −0.0763883 | + | 0.0674609i | ||||
\(247\) | 1.40589e6i | 1.46625i | ||||||||
\(248\) | 166480. | − | 884972.i | 0.171883 | − | 0.913693i | ||||
\(249\) | 698680.i | 0.714135i | ||||||||
\(250\) | −58508.6 | − | 66251.4i | −0.0592065 | − | 0.0670417i | ||||
\(251\) | 485905. | + | 485905.i | 0.486819 | + | 0.486819i | 0.907301 | − | 0.420482i | \(-0.138139\pi\) |
−0.420482 | + | 0.907301i | \(0.638139\pi\) | |||||||
\(252\) | 2.61283e6 | + | 325565.i | 2.59185 | + | 0.322951i | ||||
\(253\) | 723203. | − | 723203.i | 0.710328 | − | 0.710328i | ||||
\(254\) | 22705.0 | − | 365848.i | 0.0220820 | − | 0.355809i | ||||
\(255\) | 617348. | 0.594538 | ||||||||
\(256\) | 922288. | + | 498896.i | 0.879562 | + | 0.475784i | ||||
\(257\) | −1.02007e6 | −0.963375 | −0.481688 | − | 0.876343i | \(-0.659976\pi\) | ||||
−0.481688 | + | 0.876343i | \(0.659976\pi\) | |||||||
\(258\) | 106803. | − | 1.72092e6i | 0.0998924 | − | 1.60957i | ||||
\(259\) | −1.00980e6 | + | 1.00980e6i | −0.935374 | + | 0.935374i | ||||
\(260\) | 877986. | + | 109399.i | 0.805479 | + | 0.100365i | ||||
\(261\) | −461537. | − | 461537.i | −0.419378 | − | 0.419378i | ||||
\(262\) | −269236. | − | 304866.i | −0.242315 | − | 0.274382i | ||||
\(263\) | − | 133056.i | − | 0.118617i | −0.998240 | − | 0.0593085i | \(-0.981110\pi\) | ||
0.998240 | − | 0.0593085i | \(-0.0188896\pi\) | |||||||
\(264\) | −239476. | + | 1.27300e6i | −0.211472 | + | 1.12414i | ||||
\(265\) | − | 508322.i | − | 0.444656i | ||||||
\(266\) | 940279. | − | 830389.i | 0.814803 | − | 0.719577i | ||||
\(267\) | −1.01500e6 | − | 1.01500e6i | −0.871339 | − | 0.871339i | ||||
\(268\) | 898060. | − | 699055.i | 0.763780 | − | 0.594531i | ||||
\(269\) | 482170. | − | 482170.i | 0.406274 | − | 0.406274i | −0.474163 | − | 0.880437i | \(-0.657249\pi\) |
0.880437 | + | 0.474163i | \(0.157249\pi\) | |||||||
\(270\) | −862838. | − | 53548.9i | −0.720311 | − | 0.0447035i | ||||
\(271\) | 848589. | 0.701898 | 0.350949 | − | 0.936395i | \(-0.385859\pi\) | ||||
0.350949 | + | 0.936395i | \(0.385859\pi\) | |||||||
\(272\) | −916964. | − | 232116.i | −0.751502 | − | 0.190232i | ||||
\(273\) | −5.15783e6 | −4.18852 | ||||||||
\(274\) | −735554. | − | 45649.5i | −0.591886 | − | 0.0367333i | ||||
\(275\) | −118296. | + | 118296.i | −0.0943277 | + | 0.0943277i | ||||
\(276\) | −2.00778e6 | − | 2.57934e6i | −1.58651 | − | 2.03815i | ||||
\(277\) | −603958. | − | 603958.i | −0.472941 | − | 0.472941i | 0.429924 | − | 0.902865i | \(-0.358540\pi\) |
−0.902865 | + | 0.429924i | \(0.858540\pi\) | |||||||
\(278\) | 1.74646e6 | − | 1.54235e6i | 1.35533 | − | 1.19693i | ||||
\(279\) | − | 2.34633e6i | − | 1.80459i | ||||||
\(280\) | −445414. | − | 651826.i | −0.339523 | − | 0.496863i | ||||
\(281\) | 1.56617e6i | 1.18324i | 0.806218 | + | 0.591619i | \(0.201511\pi\) | ||||
−0.806218 | + | 0.591619i | \(0.798489\pi\) | |||||||
\(282\) | −2.20665e6 | − | 2.49867e6i | −1.65238 | − | 1.87105i | ||||
\(283\) | 220893. | + | 220893.i | 0.163951 | + | 0.163951i | 0.784315 | − | 0.620363i | \(-0.213015\pi\) |
−0.620363 | + | 0.784315i | \(0.713015\pi\) | |||||||
\(284\) | −209165. | + | 1.67865e6i | −0.153884 | + | 1.23499i | ||||
\(285\) | −600737. | + | 600737.i | −0.438099 | + | 0.438099i | ||||
\(286\) | 103731. | − | 1.67143e6i | 0.0749886 | − | 1.20830i | ||||
\(287\) | −111587. | −0.0799664 | ||||||||
\(288\) | 2.60201e6 | + | 833237.i | 1.84854 | + | 0.591953i | ||||
\(289\) | −566604. | −0.399057 | ||||||||
\(290\) | −12122.5 | + | 195330.i | −0.00846439 | + | 0.136387i | ||||
\(291\) | −985907. | + | 985907.i | −0.682501 | + | 0.682501i | ||||
\(292\) | −82156.6 | + | 659348.i | −0.0563878 | + | 0.452541i | ||||
\(293\) | −287839. | − | 287839.i | −0.195875 | − | 0.195875i | 0.602354 | − | 0.798229i | \(-0.294230\pi\) |
−0.798229 | + | 0.602354i | \(0.794230\pi\) | |||||||
\(294\) | 1.36403e6 | + | 1.54454e6i | 0.920355 | + | 1.04215i | ||||
\(295\) | − | 1.00816e6i | − | 0.674491i | ||||||
\(296\) | −1.22347e6 | + | 836040.i | −0.811643 | + | 0.554623i | ||||
\(297\) | 1.63627e6i | 1.07638i | ||||||||
\(298\) | −268323. | + | 236964.i | −0.175032 | + | 0.154576i | ||||
\(299\) | 2.98812e6 | + | 2.98812e6i | 1.93294 | + | 1.93294i | ||||
\(300\) | 328417. | + | 421910.i | 0.210680 | + | 0.270655i | ||||
\(301\) | 1.40646e6 | − | 1.40646e6i | 0.894770 | − | 0.894770i | ||||
\(302\) | −1.32967e6 | − | 82521.0i | −0.838929 | − | 0.0520651i | ||||
\(303\) | −189943. | −0.118855 | ||||||||
\(304\) | 1.11816e6 | − | 666421.i | 0.693938 | − | 0.413585i | ||||
\(305\) | 679181. | 0.418057 | ||||||||
\(306\) | −2.45987e6 | − | 152663.i | −1.50179 | − | 0.0932030i | ||||
\(307\) | 1.86981e6 | − | 1.86981e6i | 1.13228 | − | 1.13228i | 0.142478 | − | 0.989798i | \(-0.454493\pi\) |
0.989798 | − | 0.142478i | \(-0.0455071\pi\) | |||||||
\(308\) | −1.17915e6 | + | 917855.i | −0.708257 | + | 0.551312i | ||||
\(309\) | 2.44181e6 | + | 2.44181e6i | 1.45484 | + | 1.45484i | ||||
\(310\) | −527316. | + | 465689.i | −0.311650 | + | 0.275227i | ||||
\(311\) | − | 1.39161e6i | − | 0.815864i | −0.913012 | − | 0.407932i | \(-0.866250\pi\) | ||
0.913012 | − | 0.407932i | \(-0.133750\pi\) | |||||||
\(312\) | −5.25978e6 | − | 989463.i | −3.05901 | − | 0.575457i | ||||
\(313\) | 464454.i | 0.267967i | 0.990984 | + | 0.133984i | \(0.0427769\pi\) | ||||
−0.990984 | + | 0.133984i | \(0.957223\pi\) | |||||||
\(314\) | −1.64448e6 | − | 1.86211e6i | −0.941250 | − | 1.06581i | ||||
\(315\) | −1.45456e6 | − | 1.45456e6i | −0.825952 | − | 0.825952i | ||||
\(316\) | 1.63061e6 | + | 203178.i | 0.918610 | + | 0.114461i | ||||
\(317\) | −1.02338e6 | + | 1.02338e6i | −0.571993 | + | 0.571993i | −0.932685 | − | 0.360692i | \(-0.882540\pi\) |
0.360692 | + | 0.932685i | \(0.382540\pi\) | |||||||
\(318\) | −190464. | + | 3.06895e6i | −0.105619 | + | 1.70186i | ||||
\(319\) | 370420. | 0.203806 | ||||||||
\(320\) | −329173. | − | 750156.i | −0.179701 | − | 0.409521i | ||||
\(321\) | 5.18604e6 | 2.80914 | ||||||||
\(322\) | 233563. | − | 3.76342e6i | 0.125535 | − | 2.02276i | ||||
\(323\) | −830295. | + | 830295.i | −0.442819 | + | 0.442819i | ||||
\(324\) | 1.54973e6 | + | 193101.i | 0.820152 | + | 0.102193i | ||||
\(325\) | −488774. | − | 488774.i | −0.256684 | − | 0.256684i | ||||
\(326\) | 1.01278e6 | + | 1.14681e6i | 0.527804 | + | 0.597651i | ||||
\(327\) | 4.56109e6i | 2.35884i | ||||||||
\(328\) | −113792. | − | 21406.4i | −0.0584020 | − | 0.0109865i | ||||
\(329\) | − | 3.84553e6i | − | 1.95869i | ||||||
\(330\) | 758528. | − | 669879.i | 0.383431 | − | 0.338619i | ||||
\(331\) | −89356.4 | − | 89356.4i | −0.0448286 | − | 0.0448286i | 0.684337 | − | 0.729166i | \(-0.260092\pi\) |
−0.729166 | + | 0.684337i | \(0.760092\pi\) | |||||||
\(332\) | −659958. | + | 513715.i | −0.328603 | + | 0.255786i | ||||
\(333\) | −2.73020e6 | + | 2.73020e6i | −1.34922 | + | 1.34922i | ||||
\(334\) | −2.79248e6 | − | 173305.i | −1.36969 | − | 0.0850051i | ||||
\(335\) | −889113. | −0.432857 | ||||||||
\(336\) | 2.44492e6 | + | 4.10224e6i | 1.18145 | + | 1.98231i | ||||
\(337\) | 1.64073e6 | 0.786977 | 0.393489 | − | 0.919330i | \(-0.371268\pi\) | ||||
0.393489 | + | 0.919330i | \(0.371268\pi\) | |||||||
\(338\) | 4.80968e6 | + | 298495.i | 2.28994 | + | 0.142117i | ||||
\(339\) | 1.84164e6 | − | 1.84164e6i | 0.870372 | − | 0.870372i | ||||
\(340\) | 453914. | + | 583133.i | 0.212949 | + | 0.273571i | ||||
\(341\) | 941557. | + | 941557.i | 0.438491 | + | 0.438491i | ||||
\(342\) | 2.54224e6 | − | 2.24513e6i | 1.17531 | − | 1.03795i | ||||
\(343\) | − | 554903.i | − | 0.254672i | ||||||
\(344\) | 1.70407e6 | − | 1.16445e6i | 0.776410 | − | 0.530547i | ||||
\(345\) | 2.55364e6i | 1.15508i | ||||||||
\(346\) | −10389.1 | − | 11764.0i | −0.00466539 | − | 0.00528279i | ||||
\(347\) | 63290.7 | + | 63290.7i | 0.0282173 | + | 0.0282173i | 0.721075 | − | 0.692857i | \(-0.243648\pi\) |
−0.692857 | + | 0.721075i | \(0.743648\pi\) | |||||||
\(348\) | 146377. | − | 1.17475e6i | 0.0647923 | − | 0.519991i | ||||
\(349\) | −1.63122e6 | + | 1.63122e6i | −0.716885 | + | 0.716885i | −0.967966 | − | 0.251081i | \(-0.919214\pi\) |
0.251081 | + | 0.967966i | \(0.419214\pi\) | |||||||
\(350\) | −38204.6 | + | 615593.i | −0.0166704 | + | 0.268611i | ||||
\(351\) | −6.76071e6 | −2.92903 | ||||||||
\(352\) | −1.37853e6 | + | 709792.i | −0.593007 | + | 0.305333i | ||||
\(353\) | −3.02063e6 | −1.29021 | −0.645106 | − | 0.764093i | \(-0.723187\pi\) | ||||
−0.645106 | + | 0.764093i | \(0.723187\pi\) | |||||||
\(354\) | −377749. | + | 6.08671e6i | −0.160212 | + | 2.58151i | ||||
\(355\) | 934504. | − | 934504.i | 0.393560 | − | 0.393560i | ||||
\(356\) | 212452. | − | 1.70504e6i | 0.0888457 | − | 0.713032i | ||||
\(357\) | −3.04613e6 | − | 3.04613e6i | −1.26496 | − | 1.26496i | ||||
\(358\) | 113327. | + | 128324.i | 0.0467330 | + | 0.0529175i | ||||
\(359\) | − | 958938.i | − | 0.392694i | −0.980534 | − | 0.196347i | \(-0.937092\pi\) | ||
0.980534 | − | 0.196347i | \(-0.0629079\pi\) | |||||||
\(360\) | −1.20427e6 | − | 1.76235e6i | −0.489742 | − | 0.716696i | ||||
\(361\) | 860191.i | 0.347398i | ||||||||
\(362\) | −301859. | + | 266581.i | −0.121069 | + | 0.106920i | ||||
\(363\) | 1.68998e6 | + | 1.68998e6i | 0.673156 | + | 0.673156i | ||||
\(364\) | −3.79237e6 | − | 4.87197e6i | −1.50023 | − | 1.92731i | ||||
\(365\) | 367059. | − | 367059.i | 0.144213 | − | 0.144213i | ||||
\(366\) | −4.10050e6 | − | 254483.i | −1.60005 | − | 0.0993014i | ||||
\(367\) | 441626. | 0.171155 | 0.0855776 | − | 0.996332i | \(-0.472726\pi\) | ||||
0.0855776 | + | 0.996332i | \(0.472726\pi\) | |||||||
\(368\) | 960143. | − | 3.79300e6i | 0.369587 | − | 1.46003i | ||||
\(369\) | −301698. | −0.115347 | ||||||||
\(370\) | 1.15546e6 | + | 71709.7i | 0.438786 | + | 0.0272316i | ||||
\(371\) | −2.50817e6 | + | 2.50817e6i | −0.946069 | + | 0.946069i | ||||
\(372\) | 3.35812e6 | − | 2.61398e6i | 1.25817 | − | 0.979365i | ||||
\(373\) | 1.98731e6 | + | 1.98731e6i | 0.739594 | + | 0.739594i | 0.972499 | − | 0.232905i | \(-0.0748232\pi\) |
−0.232905 | + | 0.972499i | \(0.574823\pi\) | |||||||
\(374\) | 1.04838e6 | − | 925858.i | 0.387561 | − | 0.342267i | ||||
\(375\) | − | 417706.i | − | 0.153389i | ||||||
\(376\) | 737715. | − | 3.92154e6i | 0.269103 | − | 1.43050i | ||||
\(377\) | 1.53049e6i | 0.554598i | ||||||||
\(378\) | 3.99321e6 | + | 4.52165e6i | 1.43745 | + | 1.62768i | ||||
\(379\) | −8992.62 | − | 8992.62i | −0.00321579 | − | 0.00321579i | 0.705497 | − | 0.708713i | \(-0.250724\pi\) |
−0.708713 | + | 0.705497i | \(0.750724\pi\) | |||||||
\(380\) | −1.00914e6 | − | 125742.i | −0.358504 | − | 0.0446705i | ||||
\(381\) | 1.22489e6 | − | 1.22489e6i | 0.432299 | − | 0.432299i | ||||
\(382\) | 59594.1 | − | 960244.i | 0.0208951 | − | 0.336685i | ||||
\(383\) | 5.27561e6 | 1.83770 | 0.918852 | − | 0.394603i | \(-0.129118\pi\) | ||||
0.918852 | + | 0.394603i | \(0.129118\pi\) | |||||||
\(384\) | 1.70628e6 | + | 4.65234e6i | 0.590504 | + | 1.61007i | ||||
\(385\) | 1.16740e6 | 0.401391 | ||||||||
\(386\) | −55362.3 | + | 892057.i | −0.0189124 | + | 0.304736i | ||||
\(387\) | 3.80265e6 | − | 3.80265e6i | 1.29065 | − | 1.29065i | ||||
\(388\) | −1.65617e6 | − | 206363.i | −0.558502 | − | 0.0695909i | ||||
\(389\) | −2.46145e6 | − | 2.46145e6i | −0.824741 | − | 0.824741i | 0.162043 | − | 0.986784i | \(-0.448192\pi\) |
−0.986784 | + | 0.162043i | \(0.948192\pi\) | |||||||
\(390\) | 2.76779e6 | + | 3.13407e6i | 0.921451 | + | 1.04339i | ||||
\(391\) | 3.52946e6i | 1.16753i | ||||||||
\(392\) | −456014. | + | 2.42408e6i | −0.149887 | + | 0.796767i | ||||
\(393\) | − | 1.92214e6i | − | 0.627775i | ||||||
\(394\) | 3.16158e6 | − | 2.79208e6i | 1.02604 | − | 0.906124i | ||||
\(395\) | −907757. | − | 907757.i | −0.292736 | − | 0.292736i | ||||
\(396\) | −3.18807e6 | + | 2.48161e6i | −1.02162 | + | 0.795235i | ||||
\(397\) | −1.45382e6 | + | 1.45382e6i | −0.462951 | + | 0.462951i | −0.899622 | − | 0.436670i | \(-0.856158\pi\) |
0.436670 | + | 0.899622i | \(0.356158\pi\) | |||||||
\(398\) | 3.75866e6 | + | 233268.i | 1.18939 | + | 0.0738154i | ||||
\(399\) | 5.92834e6 | 1.86423 | ||||||||
\(400\) | −157053. | + | 620431.i | −0.0490791 | + | 0.193885i | ||||
\(401\) | 2.98503e6 | 0.927016 | 0.463508 | − | 0.886093i | \(-0.346590\pi\) | ||||
0.463508 | + | 0.886093i | \(0.346590\pi\) | |||||||
\(402\) | 5.36794e6 | + | 333142.i | 1.65670 | + | 0.102817i | ||||
\(403\) | −3.89031e6 | + | 3.89031e6i | −1.19322 | + | 1.19322i | ||||
\(404\) | −139659. | − | 179416.i | −0.0425711 | − | 0.0546901i | ||||
\(405\) | −862735. | − | 862735.i | −0.261360 | − | 0.261360i | ||||
\(406\) | 1.02362e6 | − | 903986.i | 0.308192 | − | 0.272174i | ||||
\(407\) | − | 2.19120e6i | − | 0.655686i | ||||||
\(408\) | −2.52197e6 | − | 3.69069e6i | −0.750050 | − | 1.09763i | ||||
\(409\) | − | 532252.i | − | 0.157329i | −0.996901 | − | 0.0786645i | \(-0.974934\pi\) | ||
0.996901 | − | 0.0786645i | \(-0.0250656\pi\) | |||||||
\(410\) | 59879.6 | + | 67803.8i | 0.0175922 | + | 0.0199202i | ||||
\(411\) | −2.46269e6 | − | 2.46269e6i | −0.719127 | − | 0.719127i | ||||
\(412\) | −511102. | + | 4.10185e6i | −0.148342 | + | 1.19052i | ||||
\(413\) | −4.97450e6 | + | 4.97450e6i | −1.43507 | + | 1.43507i | ||||
\(414\) | 631486. | − | 1.01752e7i | 0.181077 | − | 2.91771i | ||||
\(415\) | 653382. | 0.186229 | ||||||||
\(416\) | −2.93270e6 | − | 5.69578e6i | −0.830873 | − | 1.61369i | ||||
\(417\) | 1.10112e7 | 3.10094 | ||||||||
\(418\) | −119227. | + | 1.92112e6i | −0.0333761 | + | 0.537791i | ||||
\(419\) | −4.31407e6 | + | 4.31407e6i | −1.20047 | + | 1.20047i | −0.226450 | + | 0.974023i | \(0.572712\pi\) |
−0.974023 | + | 0.226450i | \(0.927288\pi\) | |||||||
\(420\) | 461314. | − | 3.70228e6i | 0.127607 | − | 1.02411i | ||||
\(421\) | 2.89172e6 | + | 2.89172e6i | 0.795153 | + | 0.795153i | 0.982327 | − | 0.187174i | \(-0.0599328\pi\) |
−0.187174 | + | 0.982327i | \(0.559933\pi\) | |||||||
\(422\) | −282250. | − | 319602.i | −0.0771531 | − | 0.0873632i | ||||
\(423\) | − | 1.03972e7i | − | 2.82530i | ||||||
\(424\) | −3.03891e6 | + | 2.07659e6i | −0.820923 | + | 0.560964i | ||||
\(425\) | − | 577323.i | − | 0.155041i | ||||||
\(426\) | −5.99214e6 | + | 5.29184e6i | −1.59977 | + | 1.41281i | ||||
\(427\) | −3.35123e6 | − | 3.35123e6i | −0.889476 | − | 0.889476i | ||||
\(428\) | 3.81311e6 | + | 4.89862e6i | 1.00617 | + | 1.29260i | ||||
\(429\) | 5.59609e6 | − | 5.59609e6i | 1.46805 | − | 1.46805i | ||||
\(430\) | −1.60935e6 | − | 99878.2i | −0.419738 | − | 0.0260495i | ||||
\(431\) | 1.51871e6 | 0.393806 | 0.196903 | − | 0.980423i | \(-0.436912\pi\) | ||||
0.196903 | + | 0.980423i | \(0.436912\pi\) | |||||||
\(432\) | 3.20471e6 | + | 5.37707e6i | 0.826190 | + | 1.38623i | ||||
\(433\) | 3.00917e6 | 0.771306 | 0.385653 | − | 0.922644i | \(-0.373976\pi\) | ||||
0.385653 | + | 0.922644i | \(0.373976\pi\) | |||||||
\(434\) | 4.89970e6 | + | 304082.i | 1.24866 | + | 0.0774938i | ||||
\(435\) | −653980. | + | 653980.i | −0.165707 | + | 0.165707i | ||||
\(436\) | −4.30830e6 | + | 3.35361e6i | −1.08540 | + | 0.844882i | ||||
\(437\) | −3.43449e6 | − | 3.43449e6i | −0.860318 | − | 0.860318i | ||||
\(438\) | −2.35362e6 | + | 2.07855e6i | −0.586207 | + | 0.517697i | ||||
\(439\) | − | 375602.i | − | 0.0930179i | −0.998918 | − | 0.0465089i | \(-0.985190\pi\) | ||
0.998918 | − | 0.0465089i | \(-0.0148096\pi\) | |||||||
\(440\) | 1.19047e6 | + | 223950.i | 0.293148 | + | 0.0551467i | ||||
\(441\) | 6.42697e6i | 1.57365i | ||||||||
\(442\) | 3.82544e6 | + | 4.33168e6i | 0.931378 | + | 1.05463i | ||||
\(443\) | −3.49838e6 | − | 3.49838e6i | −0.846950 | − | 0.846950i | 0.142801 | − | 0.989751i | \(-0.454389\pi\) |
−0.989751 | + | 0.142801i | \(0.954389\pi\) | |||||||
\(444\) | −6.94915e6 | − | 865883.i | −1.67292 | − | 0.208450i | ||||
\(445\) | −949193. | + | 949193.i | −0.227224 | + | 0.227224i | ||||
\(446\) | −215484. | + | 3.47210e6i | −0.0512952 | + | 0.826524i | ||||
\(447\) | −1.69174e6 | −0.400466 | ||||||||
\(448\) | −2.07722e6 | + | 5.32565e6i | −0.488976 | + | 1.25365i | ||||
\(449\) | −6.84616e6 | −1.60262 | −0.801311 | − | 0.598249i | \(-0.795864\pi\) | ||||
−0.801311 | + | 0.598249i | \(0.795864\pi\) | |||||||
\(450\) | −103294. | + | 1.66438e6i | −0.0240460 | + | 0.387455i | ||||
\(451\) | 121068. | − | 121068.i | 0.0280278 | − | 0.0280278i | ||||
\(452\) | 3.09366e6 | + | 385478.i | 0.712240 | + | 0.0887471i | ||||
\(453\) | −4.45183e6 | − | 4.45183e6i | −1.01928 | − | 1.01928i | ||||
\(454\) | 297217. | + | 336550.i | 0.0676760 | + | 0.0766319i | ||||
\(455\) | 4.82344e6i | 1.09226i | ||||||||
\(456\) | 6.04550e6 | + | 1.13727e6i | 1.36151 | + | 0.256125i | ||||
\(457\) | − | 8.03888e6i | − | 1.80055i | −0.435321 | − | 0.900275i | \(-0.643365\pi\) | ||
0.435321 | − | 0.900275i | \(-0.356635\pi\) | |||||||
\(458\) | −6.52450e6 | + | 5.76198e6i | −1.45339 | + | 1.28354i | ||||
\(459\) | −3.99276e6 | − | 3.99276e6i | −0.884588 | − | 0.884588i | ||||
\(460\) | −2.41212e6 | + | 1.87760e6i | −0.531500 | + | 0.413723i | ||||
\(461\) | 1.72098e6 | − | 1.72098e6i | 0.377159 | − | 0.377159i | −0.492917 | − | 0.870076i | \(-0.664070\pi\) |
0.870076 | + | 0.492917i | \(0.164070\pi\) | |||||||
\(462\) | −7.04807e6 | − | 437413.i | −1.53626 | − | 0.0953426i | ||||
\(463\) | 4.66774e6 | 1.01194 | 0.505969 | − | 0.862552i | \(-0.331135\pi\) | ||||
0.505969 | + | 0.862552i | \(0.331135\pi\) | |||||||
\(464\) | 1.21726e6 | − | 725486.i | 0.262476 | − | 0.156435i | ||||
\(465\) | −3.32466e6 | −0.713041 | ||||||||
\(466\) | 1.28379e6 | + | 79673.6i | 0.273860 | + | 0.0169961i | ||||
\(467\) | 927821. | − | 927821.i | 0.196867 | − | 0.196867i | −0.601789 | − | 0.798655i | \(-0.705545\pi\) |
0.798655 | + | 0.601789i | \(0.205545\pi\) | |||||||
\(468\) | −1.02535e7 | − | 1.31724e7i | −2.16399 | − | 2.78003i | ||||
\(469\) | 4.38708e6 | + | 4.38708e6i | 0.920965 | + | 0.920965i | ||||
\(470\) | −2.33667e6 | + | 2.06359e6i | −0.487925 | + | 0.430902i | ||||
\(471\) | − | 1.17403e7i | − | 2.43853i | ||||||
\(472\) | −6.02711e6 | + | 4.11853e6i | −1.24524 | + | 0.850916i | ||||
\(473\) | 3.05193e6i | 0.627223i | ||||||||
\(474\) | 5.14038e6 | + | 5.82064e6i | 1.05087 | + | 1.18994i | ||||
\(475\) | 561789. | + | 561789.i | 0.114246 | + | 0.114246i | ||||
\(476\) | 637594. | − | 5.11702e6i | 0.128981 | − | 1.03514i | ||||
\(477\) | −6.78136e6 | + | 6.78136e6i | −1.36465 | + | 1.36465i | ||||
\(478\) | 253673. | − | 4.08746e6i | 0.0507815 | − | 0.818246i | ||||
\(479\) | 1.02994e6 | 0.205103 | 0.102552 | − | 0.994728i | \(-0.467299\pi\) | ||||
0.102552 | + | 0.994728i | \(0.467299\pi\) | |||||||
\(480\) | 1.18066e6 | − | 3.68695e6i | 0.233896 | − | 0.730406i | ||||
\(481\) | 9.05356e6 | 1.78425 | ||||||||
\(482\) | 538260. | − | 8.67303e6i | 0.105530 | − | 1.70041i | ||||
\(483\) | 1.26002e7 | − | 1.26002e7i | 2.45760 | − | 2.45760i | ||||
\(484\) | −353735. | + | 2.83890e6i | −0.0686380 | + | 0.550855i | ||||
\(485\) | 921987. | + | 921987.i | 0.177980 | + | 0.177980i | ||||
\(486\) | −676874. | − | 766449.i | −0.129992 | − | 0.147195i | ||||
\(487\) | 3.74970e6i | 0.716431i | 0.933639 | + | 0.358216i | \(0.116615\pi\) | ||||
−0.933639 | + | 0.358216i | \(0.883385\pi\) | |||||||
\(488\) | −2.77457e6 | − | 4.06035e6i | −0.527408 | − | 0.771817i | ||||
\(489\) | 7.23049e6i | 1.36740i | ||||||||
\(490\) | 1.44440e6 | − | 1.27559e6i | 0.271768 | − | 0.240006i | ||||
\(491\) | −3.17911e6 | − | 3.17911e6i | −0.595116 | − | 0.595116i | 0.343893 | − | 0.939009i | \(-0.388254\pi\) |
−0.939009 | + | 0.343893i | \(0.888254\pi\) | |||||||
\(492\) | −336113. | − | 431796.i | −0.0625997 | − | 0.0804203i | ||||
\(493\) | −903884. | + | 903884.i | −0.167493 | + | 0.167493i | ||||
\(494\) | −7.93764e6 | − | 492621.i | −1.46344 | − | 0.0908230i | ||||
\(495\) | 3.15630e6 | 0.578983 | ||||||||
\(496\) | 4.93821e6 | + | 1.25004e6i | 0.901291 | + | 0.228149i | ||||
\(497\) | −9.22210e6 | −1.67471 | ||||||||
\(498\) | −3.94474e6 | − | 244816.i | −0.712763 | − | 0.0442351i | ||||
\(499\) | −935696. | + | 935696.i | −0.168222 | + | 0.168222i | −0.786198 | − | 0.617975i | \(-0.787953\pi\) |
0.617975 | + | 0.786198i | \(0.287953\pi\) | |||||||
\(500\) | 394556. | − | 307125.i | 0.0705803 | − | 0.0549401i | ||||
\(501\) | −9.34943e6 | − | 9.34943e6i | −1.66414 | − | 1.66414i | ||||
\(502\) | −2.91368e6 | + | 2.57316e6i | −0.516038 | + | 0.455729i | ||||
\(503\) | − | 3.96538e6i | − | 0.698819i | −0.936970 | − | 0.349409i | \(-0.886382\pi\) | ||
0.936970 | − | 0.349409i | \(-0.113618\pi\) | |||||||
\(504\) | −2.75367e6 | + | 1.46379e7i | −0.482876 | + | 2.56687i | ||||
\(505\) | 177629.i | 0.0309945i | ||||||||
\(506\) | 3.82979e6 | + | 4.33661e6i | 0.664965 | + | 0.752963i | ||||
\(507\) | 1.61032e7 | + | 1.61032e7i | 2.78222 | + | 2.78222i | ||||
\(508\) | 2.05762e6 | + | 256385.i | 0.353758 | + | 0.0440792i | ||||
\(509\) | −6.45393e6 | + | 6.45393e6i | −1.10415 | + | 1.10415i | −0.110251 | + | 0.993904i | \(0.535165\pi\) |
−0.993904 | + | 0.110251i | \(0.964835\pi\) | |||||||
\(510\) | −216318. | + | 3.48554e6i | −0.0368270 | + | 0.593396i | ||||
\(511\) | −3.62229e6 | −0.613665 | ||||||||
\(512\) | −3.13993e6 | + | 5.03242e6i | −0.529352 | + | 0.848402i | ||||
\(513\) | 7.77065e6 | 1.30366 | ||||||||
\(514\) | 357429. | − | 5.75928e6i | 0.0596736 | − | 0.961525i | ||||
\(515\) | 2.28350e6 | − | 2.28350e6i | 0.379387 | − | 0.379387i | ||||
\(516\) | 9.67887e6 | + | 1.20601e6i | 1.60030 | + | 0.199401i | ||||
\(517\) | 4.17228e6 | + | 4.17228e6i | 0.686511 | + | 0.686511i | ||||
\(518\) | −5.34748e6 | − | 6.05515e6i | −0.875639 | − | 0.991517i | ||||
\(519\) | − | 74170.3i | − | 0.0120868i | ||||||
\(520\) | −925313. | + | 4.91877e6i | −0.150065 | + | 0.797715i | ||||
\(521\) | − | 9.69172e6i | − | 1.56425i | −0.623121 | − | 0.782125i | \(-0.714136\pi\) | ||
0.623121 | − | 0.782125i | \(-0.285864\pi\) | |||||||
\(522\) | 2.76756e6 | − | 2.44411e6i | 0.444549 | − | 0.392595i | ||||
\(523\) | 8.02434e6 | + | 8.02434e6i | 1.28279 | + | 1.28279i | 0.939075 | + | 0.343714i | \(0.111685\pi\) |
0.343714 | + | 0.939075i | \(0.388315\pi\) | |||||||
\(524\) | 1.81561e6 | − | 1.41328e6i | 0.288865 | − | 0.224854i | ||||
\(525\) | −2.06105e6 | + | 2.06105e6i | −0.326356 | + | 0.326356i | ||||
\(526\) | 751236. | + | 46622.7i | 0.118389 | + | 0.00734740i | ||||
\(527\) | −4.59510e6 | −0.720723 | ||||||||
\(528\) | −7.10346e6 | − | 1.79814e6i | −1.10888 | − | 0.280697i | ||||
\(529\) | −8.16319e6 | −1.26830 | ||||||||
\(530\) | 2.86998e6 | + | 178115.i | 0.443803 | + | 0.0275430i | ||||
\(531\) | −1.34496e7 | + | 1.34496e7i | −2.07001 | + | 2.07001i | ||||
\(532\) | 4.35890e6 | + | 5.59977e6i | 0.667725 | + | 0.857810i | ||||
\(533\) | 500227. | + | 500227.i | 0.0762692 | + | 0.0762692i | ||||
\(534\) | 6.08632e6 | − | 5.37502e6i | 0.923638 | − | 0.815693i | ||||
\(535\) | − | 4.84981e6i | − | 0.732556i | ||||||
\(536\) | 3.63218e6 | + | 5.31539e6i | 0.546079 | + | 0.799140i | ||||
\(537\) | 809064.i | 0.121073i | ||||||||
\(538\) | 2.55338e6 | + | 2.89128e6i | 0.380329 | + | 0.430660i | ||||
\(539\) | −2.57907e6 | − | 2.57907e6i | −0.382377 | − | 0.382377i | ||||
\(540\) | 604674. | − | 4.85281e6i | 0.0892353 | − | 0.716158i | ||||
\(541\) | −1.80623e6 | + | 1.80623e6i | −0.265327 | + | 0.265327i | −0.827214 | − | 0.561887i | \(-0.810076\pi\) |
0.561887 | + | 0.827214i | \(0.310076\pi\) | |||||||
\(542\) | −297344. | + | 4.79113e6i | −0.0434771 | + | 0.700550i | ||||
\(543\) | −1.90318e6 | −0.277001 | ||||||||
\(544\) | 1.63183e6 | − | 5.09584e6i | 0.236416 | − | 0.738275i | ||||
\(545\) | 4.26538e6 | 0.615129 | ||||||||
\(546\) | 1.80730e6 | − | 2.91211e7i | 0.259446 | − | 4.18048i | ||||
\(547\) | −5.63925e6 | + | 5.63925e6i | −0.805848 | + | 0.805848i | −0.984003 | − | 0.178154i | \(-0.942987\pi\) |
0.178154 | + | 0.984003i | \(0.442987\pi\) | |||||||
\(548\) | 515473. | − | 4.13694e6i | 0.0733255 | − | 0.588474i | ||||
\(549\) | −9.06073e6 | − | 9.06073e6i | −1.28302 | − | 1.28302i | ||||
\(550\) | −626449. | − | 709350.i | −0.0883037 | − | 0.0999894i | ||||
\(551\) | − | 1.75913e6i | − | 0.246841i | ||||||
\(552\) | 1.52665e7 | − | 1.04321e7i | 2.13251 | − | 1.45721i | ||||
\(553\) | 8.95814e6i | 1.24568i | ||||||||
\(554\) | 3.62157e6 | − | 3.19832e6i | 0.501328 | − | 0.442738i | ||||
\(555\) | 3.86859e6 | + | 3.86859e6i | 0.533114 | + | 0.533114i | ||||
\(556\) | 8.09613e6 | + | 1.04009e7i | 1.11068 | + | 1.42687i | ||||
\(557\) | 5.02067e6 | − | 5.02067e6i | 0.685684 | − | 0.685684i | −0.275591 | − | 0.961275i | \(-0.588874\pi\) |
0.961275 | + | 0.275591i | \(0.0888736\pi\) | |||||||
\(558\) | 1.32474e7 | + | 822149.i | 1.80112 | + | 0.111780i | ||||
\(559\) | −1.26099e7 | −1.70680 | ||||||||
\(560\) | 3.83628e6 | − | 2.28641e6i | 0.516940 | − | 0.308094i | ||||
\(561\) | 6.60991e6 | 0.886724 | ||||||||
\(562\) | −8.84256e6 | − | 548782.i | −1.18097 | − | 0.0732924i | ||||
\(563\) | 7.18447e6 | − | 7.18447e6i | 0.955264 | − | 0.955264i | −0.0437769 | − | 0.999041i | \(-0.513939\pi\) |
0.999041 | + | 0.0437769i | \(0.0139391\pi\) | |||||||
\(564\) | 1.48807e7 | − | 1.15832e7i | 1.96981 | − | 1.53331i | ||||
\(565\) | −1.72224e6 | − | 1.72224e6i | −0.226972 | − | 0.226972i | ||||
\(566\) | −1.32456e6 | + | 1.16976e6i | −0.173792 | + | 0.153481i | ||||
\(567\) | 8.51385e6i | 1.11216i | ||||||||
\(568\) | −9.40437e6 | − | 1.76914e6i | −1.22309 | − | 0.230086i | ||||
\(569\) | 96843.1i | 0.0125397i | 0.999980 | + | 0.00626986i | \(0.00199577\pi\) | ||||
−0.999980 | + | 0.00626986i | \(0.998004\pi\) | |||||||
\(570\) | −3.18126e6 | − | 3.60225e6i | −0.410121 | − | 0.464394i | ||||
\(571\) | −3.13884e6 | − | 3.13884e6i | −0.402883 | − | 0.402883i | 0.476365 | − | 0.879248i | \(-0.341954\pi\) |
−0.879248 | + | 0.476365i | \(0.841954\pi\) | |||||||
\(572\) | 9.40055e6 | + | 1.17133e6i | 1.20133 | + | 0.149689i | ||||
\(573\) | 3.21497e6 | − | 3.21497e6i | 0.409064 | − | 0.409064i | ||||
\(574\) | 39099.8 | − | 630018.i | 0.00495330 | − | 0.0798129i | ||||
\(575\) | 2.38808e6 | 0.301217 | ||||||||
\(576\) | −5.61619e6 | + | 1.43990e7i | −0.705319 | + | 1.80832i | ||||
\(577\) | 5.70394e6 | 0.713240 | 0.356620 | − | 0.934250i | \(-0.383929\pi\) | ||||
0.356620 | + | 0.934250i | \(0.383929\pi\) | |||||||
\(578\) | 198537. | − | 3.19904e6i | 0.0247185 | − | 0.398291i | ||||
\(579\) | −2.98668e6 | + | 2.98668e6i | −0.370247 | + | 0.370247i | ||||
\(580\) | −1.09858e6 | − | 136887.i | −0.135601 | − | 0.0168963i | ||||
\(581\) | −3.22393e6 | − | 3.22393e6i | −0.396228 | − | 0.396228i | ||||
\(582\) | −5.22096e6 | − | 5.91188e6i | −0.638915 | − | 0.723466i | ||||
\(583\) | − | 5.44258e6i | − | 0.663183i | ||||||
\(584\) | −3.69389e6 | − | 694890.i | −0.448179 | − | 0.0843109i | ||||
\(585\) | 1.30411e7i | 1.57553i | ||||||||
\(586\) | 1.72599e6 | − | 1.52428e6i | 0.207632 | − | 0.183366i | ||||
\(587\) | −8.41205e6 | − | 8.41205e6i | −1.00764 | − | 1.00764i | −0.999971 | − | 0.00767212i | \(-0.997558\pi\) |
−0.00767212 | − | 0.999971i | \(-0.502442\pi\) | |||||||
\(588\) | −9.19841e6 | + | 7.16010e6i | −1.09716 | + | 0.854035i | ||||
\(589\) | 4.47146e6 | − | 4.47146e6i | 0.531081 | − | 0.531081i | ||||
\(590\) | 5.69208e6 | + | 353259.i | 0.673196 | + | 0.0417795i | ||||
\(591\) | 1.99333e7 | 2.34753 | ||||||||
\(592\) | −4.29157e6 | − | 7.20067e6i | −0.503283 | − | 0.844439i | ||||
\(593\) | −1.27299e7 | −1.48658 | −0.743288 | − | 0.668971i | \(-0.766735\pi\) | ||||
−0.743288 | + | 0.668971i | \(0.766735\pi\) | |||||||
\(594\) | −9.23836e6 | − | 573346.i | −1.07431 | − | 0.0666731i | ||||
\(595\) | −2.84864e6 | + | 2.84864e6i | −0.329872 | + | 0.329872i | ||||
\(596\) | −1.24388e6 | − | 1.59798e6i | −0.143437 | − | 0.184271i | ||||
\(597\) | 1.25843e7 | + | 1.25843e7i | 1.44508 | + | 1.44508i | ||||
\(598\) | −1.79179e7 | + | 1.58238e7i | −2.04896 | + | 1.80950i | ||||
\(599\) | 8.52462e6i | 0.970752i | 0.874306 | + | 0.485376i | \(0.161317\pi\) | ||||
−0.874306 | + | 0.485376i | \(0.838683\pi\) | |||||||
\(600\) | −2.49718e6 | + | 1.70640e6i | −0.283186 | + | 0.193510i | ||||
\(601\) | − | 1.30387e6i | − | 0.147247i | −0.997286 | − | 0.0736236i | \(-0.976544\pi\) | ||
0.997286 | − | 0.0736236i | \(-0.0234563\pi\) | |||||||
\(602\) | 7.44804e6 | + | 8.43368e6i | 0.837627 | + | 0.948475i | ||||
\(603\) | 1.18614e7 | + | 1.18614e7i | 1.32844 | + | 1.32844i | ||||
\(604\) | 931825. | − | 7.47837e6i | 0.103930 | − | 0.834093i | ||||
\(605\) | 1.58042e6 | − | 1.58042e6i | 0.175543 | − | 0.175543i | ||||
\(606\) | 66555.8 | − | 1.07242e6i | 0.00736215 | − | 0.118627i | ||||
\(607\) | 907557. | 0.0999775 | 0.0499887 | − | 0.998750i | \(-0.484081\pi\) | ||||
0.0499887 | + | 0.998750i | \(0.484081\pi\) | |||||||
\(608\) | 3.37080e6 | + | 6.54664e6i | 0.369806 | + | 0.718224i | ||||
\(609\) | 6.45376e6 | 0.705131 | ||||||||
\(610\) | −237984. | + | 3.83465e6i | −0.0258954 | + | 0.417255i | ||||
\(611\) | −1.72390e7 | + | 1.72390e7i | −1.86813 | + | 1.86813i | ||||
\(612\) | 1.72387e6 | − | 1.38349e7i | 0.186048 | − | 1.49313i | ||||
\(613\) | −1.12318e6 | − | 1.12318e6i | −0.120725 | − | 0.120725i | 0.644163 | − | 0.764888i | \(-0.277206\pi\) |
−0.764888 | + | 0.644163i | \(0.777206\pi\) | |||||||
\(614\) | 9.90177e6 | + | 1.12121e7i | 1.05997 | + | 1.20024i | ||||
\(615\) | 427494.i | 0.0455766i | ||||||||
\(616\) | −4.76903e6 | − | 6.97907e6i | −0.506382 | − | 0.741047i | ||||
\(617\) | − | 4.14807e6i | − | 0.438665i | −0.975650 | − | 0.219333i | \(-0.929612\pi\) | ||
0.975650 | − | 0.219333i | \(-0.0703880\pi\) | |||||||
\(618\) | −1.46420e7 | + | 1.29308e7i | −1.54216 | + | 1.36193i | ||||
\(619\) | 5.66898e6 | + | 5.66898e6i | 0.594673 | + | 0.594673i | 0.938890 | − | 0.344217i | \(-0.111856\pi\) |
−0.344217 | + | 0.938890i | \(0.611856\pi\) | |||||||
\(620\) | −2.44450e6 | − | 3.14040e6i | −0.255394 | − | 0.328099i | ||||
\(621\) | 1.65159e7 | − | 1.65159e7i | 1.71860 | − | 1.71860i | ||||
\(622\) | 7.85704e6 | + | 487619.i | 0.814297 | + | 0.0505364i | ||||
\(623\) | 9.36705e6 | 0.966902 | ||||||||
\(624\) | 7.42951e6 | − | 2.93499e7i | 0.763834 | − | 3.01749i | ||||
\(625\) | −390625. | −0.0400000 | ||||||||
\(626\) | −2.62230e6 | − | 162744.i | −0.267452 | − | 0.0165985i | ||||
\(627\) | −6.43206e6 | + | 6.43206e6i | −0.653403 | + | 0.653403i | ||||
\(628\) | 1.10897e7 | − | 8.63225e6i | 1.12207 | − | 0.873424i | ||||
\(629\) | 5.34688e6 | + | 5.34688e6i | 0.538857 | + | 0.538857i | ||||
\(630\) | 8.72210e6 | − | 7.70275e6i | 0.875527 | − | 0.773205i | ||||
\(631\) | − | 1.29134e6i | − | 0.129113i | −0.997914 | − | 0.0645563i | \(-0.979437\pi\) | ||
0.997914 | − | 0.0645563i | \(-0.0205632\pi\) | |||||||
\(632\) | −1.71850e6 | + | 9.13519e6i | −0.171142 | + | 0.909756i | ||||
\(633\) | − | 2.01505e6i | − | 0.199883i | ||||||
\(634\) | −5.41943e6 | − | 6.13661e6i | −0.535464 | − | 0.606325i | ||||
\(635\) | −1.14547e6 | − | 1.14547e6i | −0.112733 | − | 0.112733i | ||||
\(636\) | −1.72606e7 | − | 2.15071e6i | −1.69204 | − | 0.210833i | ||||
\(637\) | 1.06562e7 | − | 1.06562e7i | 1.04053 | − | 1.04053i | ||||
\(638\) | −129794. | + | 2.09139e6i | −0.0126242 | + | 0.203415i | ||||
\(639\) | −2.49338e7 | −2.41567 | ||||||||
\(640\) | 4.35071e6 | − | 1.59566e6i | 0.419866 | − | 0.153989i | ||||
\(641\) | −5.37811e6 | −0.516993 | −0.258496 | − | 0.966012i | \(-0.583227\pi\) | ||||
−0.258496 | + | 0.966012i | \(0.583227\pi\) | |||||||
\(642\) | −1.81718e6 | + | 2.92804e7i | −0.174004 | + | 2.80375i | ||||
\(643\) | −1.13475e7 | + | 1.13475e7i | −1.08236 | + | 1.08236i | −0.0860758 | + | 0.996289i | \(0.527433\pi\) |
−0.996289 | + | 0.0860758i | \(0.972567\pi\) | |||||||
\(644\) | 2.11664e7 | + | 2.63739e6i | 2.01110 | + | 0.250588i | ||||
\(645\) | −5.38822e6 | − | 5.38822e6i | −0.509971 | − | 0.509971i | ||||
\(646\) | −4.39690e6 | − | 4.97877e6i | −0.414539 | − | 0.469398i | ||||
\(647\) | − | 1.70776e7i | − | 1.60386i | −0.597418 | − | 0.801930i | \(-0.703807\pi\) | ||
0.597418 | − | 0.801930i | \(-0.296193\pi\) | |||||||
\(648\) | −1.63327e6 | + | 8.68212e6i | −0.152799 | + | 0.812247i | ||||
\(649\) | − | 1.07944e7i | − | 1.00597i | ||||||
\(650\) | 2.93088e6 | − | 2.58835e6i | 0.272091 | − | 0.240292i | ||||
\(651\) | 1.64046e7 | + | 1.64046e7i | 1.51710 | + | 1.51710i | ||||
\(652\) | −6.82976e6 | + | 5.31632e6i | −0.629197 | + | 0.489770i | ||||
\(653\) | 8.80276e6 | − | 8.80276e6i | 0.807860 | − | 0.807860i | −0.176450 | − | 0.984310i | \(-0.556461\pi\) |
0.984310 | + | 0.176450i | \(0.0564614\pi\) | |||||||
\(654\) | −2.57519e7 | − | 1.59820e6i | −2.35431 | − | 0.146112i | ||||
\(655\) | −1.79752e6 | −0.163708 | ||||||||
\(656\) | 160733. | − | 634969.i | 0.0145830 | − | 0.0576093i | ||||
\(657\) | −9.79362e6 | −0.885176 | ||||||||
\(658\) | 2.17118e7 | + | 1.34747e6i | 1.95493 | + | 0.121326i | ||||
\(659\) | 3.66172e6 | − | 3.66172e6i | 0.328452 | − | 0.328452i | −0.523546 | − | 0.851997i | \(-0.675391\pi\) |
0.851997 | + | 0.523546i | \(0.175391\pi\) | |||||||
\(660\) | 3.51634e6 | + | 4.51737e6i | 0.314218 | + | 0.403669i | ||||
\(661\) | 9.07999e6 | + | 9.07999e6i | 0.808317 | + | 0.808317i | 0.984379 | − | 0.176062i | \(-0.0563359\pi\) |
−0.176062 | + | 0.984379i | \(0.556336\pi\) | |||||||
\(662\) | 535816. | − | 473195.i | 0.0475193 | − | 0.0419658i | ||||
\(663\) | 2.73107e7i | 2.41295i | ||||||||
\(664\) | −2.66918e6 | − | 3.90612e6i | −0.234941 | − | 0.343815i | ||||
\(665\) | − | 5.54398e6i | − | 0.486147i | ||||||
\(666\) | −1.44580e7 | − | 1.63713e7i | −1.26306 | − | 1.43021i | ||||
\(667\) | −3.73889e6 | − | 3.73889e6i | −0.325408 | − | 0.325408i | ||||
\(668\) | 1.95696e6 | − | 1.57056e7i | 0.169684 | − | 1.36180i | ||||
\(669\) | −1.16249e7 | + | 1.16249e7i | −1.00421 | + | 1.00421i | ||||
\(670\) | 311543. | − | 5.01992e6i | 0.0268121 | − | 0.432026i | ||||
\(671\) | 7.27196e6 | 0.623512 | ||||||||
\(672\) | −2.40179e7 | + | 1.23666e7i | −2.05169 | + | 1.05640i | ||||
\(673\) | 7.73983e6 | 0.658709 | 0.329355 | − | 0.944206i | \(-0.393169\pi\) | ||||
0.329355 | + | 0.944206i | \(0.393169\pi\) | |||||||
\(674\) | −574908. | + | 9.26354e6i | −0.0487471 | + | 0.785466i | ||||
\(675\) | −2.70156e6 | + | 2.70156e6i | −0.228220 | + | 0.228220i | ||||
\(676\) | −3.37060e6 | + | 2.70508e7i | −0.283688 | + | 2.27674i | ||||
\(677\) | 9.05485e6 | + | 9.05485e6i | 0.759293 | + | 0.759293i | 0.976194 | − | 0.216901i | \(-0.0695947\pi\) |
−0.216901 | + | 0.976194i | \(0.569595\pi\) | |||||||
\(678\) | 9.75256e6 | + | 1.10432e7i | 0.814788 | + | 0.922613i | ||||
\(679\) | − | 9.09857e6i | − | 0.757354i | ||||||
\(680\) | −3.45141e6 | + | 2.35847e6i | −0.286236 | + | 0.195595i | ||||
\(681\) | 2.12190e6i | 0.175331i | ||||||||
\(682\) | −5.64595e6 | + | 4.98611e6i | −0.464810 | + | 0.410488i | ||||
\(683\) | −9.68823e6 | − | 9.68823e6i | −0.794681 | − | 0.794681i | 0.187571 | − | 0.982251i | \(-0.439939\pi\) |
−0.982251 | + | 0.187571i | \(0.939939\pi\) | |||||||
\(684\) | 1.17852e7 | + | 1.51401e7i | 0.963154 | + | 1.23734i | ||||
\(685\) | −2.30303e6 | + | 2.30303e6i | −0.187531 | + | 0.187531i | ||||
\(686\) | 3.13297e6 | + | 194437.i | 0.254183 | + | 0.0157750i | ||||
\(687\) | −4.11361e7 | −3.32531 | ||||||||
\(688\) | 5.97736e6 | + | 1.00292e7i | 0.481435 | + | 0.807782i | ||||
\(689\) | 2.24876e7 | 1.80465 | ||||||||
\(690\) | −1.44179e7 | − | 894792.i | −1.15286 | − | 0.0715483i | ||||
\(691\) | 1.51556e7 | − | 1.51556e7i | 1.20748 | − | 1.20748i | 0.235633 | − | 0.971842i | \(-0.424284\pi\) |
0.971842 | − | 0.235633i | \(-0.0757165\pi\) | |||||||
\(692\) | 70059.6 | − | 54534.8i | 0.00556163 | − | 0.00432921i | ||||
\(693\) | −1.55739e7 | − | 1.55739e7i | −1.23187 | − | 1.23187i | ||||
\(694\) | −379515. | + | 335162.i | −0.0299110 | + | 0.0264153i | ||||
\(695\) | − | 1.02973e7i | − | 0.808650i | ||||||
\(696\) | 6.58132e6 | + | 1.23807e6i | 0.514979 | + | 0.0968773i | ||||
\(697\) | 590851.i | 0.0460677i | ||||||||
\(698\) | −8.63829e6 | − | 9.78145e6i | −0.671103 | − | 0.759914i | ||||
\(699\) | 4.29822e6 | + | 4.29822e6i | 0.332733 | + | 0.332733i | ||||
\(700\) | −3.46225e6 | − | 431405.i | −0.267062 | − | 0.0332767i | ||||
\(701\) | −8.54126e6 | + | 8.54126e6i | −0.656488 | + | 0.656488i | −0.954547 | − | 0.298059i | \(-0.903661\pi\) |
0.298059 | + | 0.954547i | \(0.403661\pi\) | |||||||
\(702\) | 2.36894e6 | − | 3.81709e7i | 0.181431 | − | 2.92341i | ||||
\(703\) | −1.04060e7 | −0.794139 | ||||||||
\(704\) | −3.52444e6 | − | 8.03188e6i | −0.268015 | − | 0.610781i | ||||
\(705\) | −1.47324e7 | −1.11635 | ||||||||
\(706\) | 1.05842e6 | − | 1.70545e7i | 0.0799186 | − | 1.28773i | ||||
\(707\) | 876460. | − | 876460.i | 0.0659452 | − | 0.0659452i | ||||
\(708\) | −3.42331e7 | − | 4.26554e6i | −2.56663 | − | 0.319809i | ||||
\(709\) | 1.75193e6 | + | 1.75193e6i | 0.130889 | + | 0.130889i | 0.769516 | − | 0.638627i | \(-0.220497\pi\) |
−0.638627 | + | 0.769516i | \(0.720497\pi\) | |||||||
\(710\) | 4.94876e6 | + | 5.60365e6i | 0.368426 | + | 0.417182i | ||||
\(711\) | 2.42202e7i | 1.79682i | ||||||||
\(712\) | 9.55218e6 | + | 1.79694e6i | 0.706159 | + | 0.132842i | ||||
\(713\) | − | 1.90075e7i | − | 1.40024i | ||||||
\(714\) | 1.82658e7 | − | 1.61311e7i | 1.34089 | − | 1.18418i | ||||
\(715\) | −5.23328e6 | − | 5.23328e6i | −0.382832 | − | 0.382832i | ||||
\(716\) | −764224. | + | 594876.i | −0.0557106 | + | 0.0433655i | ||||
\(717\) | 1.36851e7 | − | 1.36851e7i | 0.994149 | − | 0.994149i | ||||
\(718\) | 5.41416e6 | + | 336010.i | 0.391940 | + | 0.0243243i | ||||
\(719\) | 5.01363e6 | 0.361684 | 0.180842 | − | 0.983512i | \(-0.442118\pi\) | ||||
0.180842 | + | 0.983512i | \(0.442118\pi\) | |||||||
\(720\) | 1.03722e7 | − | 6.18177e6i | 0.745655 | − | 0.444408i | ||||
\(721\) | −2.25346e7 | −1.61440 | ||||||||
\(722\) | −4.85663e6 | − | 301409.i | −0.346731 | − | 0.0215186i | ||||
\(723\) | 2.90380e7 | − | 2.90380e7i | 2.06595 | − | 2.06595i | ||||
\(724\) | −1.39934e6 | − | 1.79770e6i | −0.0992151 | − | 0.127459i | ||||
\(725\) | 611581. | + | 611581.i | 0.0432124 | + | 0.0432124i | ||||
\(726\) | −1.01338e7 | + | 8.94946e6i | −0.713560 | + | 0.630166i | ||||
\(727\) | − | 1.46450e7i | − | 1.02767i | −0.857889 | − | 0.513835i | \(-0.828225\pi\) | ||
0.857889 | − | 0.513835i | \(-0.171775\pi\) | |||||||
\(728\) | 2.88360e7 | − | 1.97046e7i | 2.01654 | − | 1.37797i | ||||
\(729\) | − | 1.66916e7i | − | 1.16327i | ||||||
\(730\) | 1.94379e6 | + | 2.20103e6i | 0.135003 | + | 0.152868i | ||||
\(731\) | −7.44720e6 | − | 7.44720e6i | −0.515465 | − | 0.515465i | ||||
\(732\) | 2.87361e6 | − | 2.30622e7i | 0.198222 | − | 1.59083i | ||||
\(733\) | −7.22552e6 | + | 7.22552e6i | −0.496718 | + | 0.496718i | −0.910415 | − | 0.413697i | \(-0.864237\pi\) |
0.413697 | + | 0.910415i | \(0.364237\pi\) | |||||||
\(734\) | −154745. | + | 2.49342e6i | −0.0106017 | + | 0.170826i | ||||
\(735\) | 9.10677e6 | 0.621793 | ||||||||
\(736\) | 2.10788e7 | + | 6.75002e6i | 1.43434 | + | 0.459315i | ||||
\(737\) | −9.51968e6 | −0.645586 | ||||||||
\(738\) | 105714. | − | 1.70338e6i | 0.00714484 | − | 0.115125i | ||||
\(739\) | −1.22662e7 | + | 1.22662e7i | −0.826226 | + | 0.826226i | −0.986993 | − | 0.160766i | \(-0.948604\pi\) |
0.160766 | + | 0.986993i | \(0.448604\pi\) | |||||||
\(740\) | −809745. | + | 6.49862e6i | −0.0543587 | + | 0.436256i | ||||
\(741\) | −2.65759e7 | − | 2.65759e7i | −1.77804 | − | 1.77804i | ||||
\(742\) | −1.32823e7 | − | 1.50400e7i | −0.885651 | − | 1.00285i | ||||
\(743\) | 8.77727e6i | 0.583294i | 0.956526 | + | 0.291647i | \(0.0942032\pi\) | ||||
−0.956526 | + | 0.291647i | \(0.905797\pi\) | |||||||
\(744\) | 1.35818e7 | + | 1.98758e7i | 0.899550 | + | 1.31642i | ||||
\(745\) | 1.58206e6i | 0.104432i | ||||||||
\(746\) | −1.19167e7 | + | 1.05240e7i | −0.783986 | + | 0.692362i | ||||
\(747\) | −8.71656e6 | − | 8.71656e6i | −0.571536 | − | 0.571536i | ||||
\(748\) | 4.86004e6 | + | 6.24358e6i | 0.317604 | + | 0.408018i | ||||
\(749\) | −2.39300e7 | + | 2.39300e7i | −1.55862 | + | 1.55862i | ||||
\(750\) | 2.35837e6 | + | 146363.i | 0.153094 | + | 0.00950122i | ||||
\(751\) | 1.91758e7 | 1.24066 | 0.620331 | − | 0.784340i | \(-0.286998\pi\) | ||||
0.620331 | + | 0.784340i | \(0.286998\pi\) | |||||||
\(752\) | 2.18825e7 | + | 5.53923e6i | 1.41108 | + | 0.357195i | ||||
\(753\) | −1.83704e7 | −1.18067 | ||||||||
\(754\) | −8.64116e6 | − | 536282.i | −0.553533 | − | 0.0343530i | ||||
\(755\) | −4.16320e6 | + | 4.16320e6i | −0.265803 | + | 0.265803i | ||||
\(756\) | −2.69284e7 | + | 2.09612e7i | −1.71359 | + | 1.33387i | ||||
\(757\) | 2.09939e7 | + | 2.09939e7i | 1.33154 | + | 1.33154i | 0.903993 | + | 0.427547i | \(0.140622\pi\) |
0.427547 | + | 0.903993i | \(0.359378\pi\) | |||||||
\(758\) | 53923.3 | − | 47621.3i | 0.00340881 | − | 0.00301043i | ||||
\(759\) | 2.73417e7i | 1.72275i | ||||||||
\(760\) | 1.06354e6 | − | 5.65355e6i | 0.0667913 | − | 0.355048i | ||||
\(761\) | 1.15891e7i | 0.725419i | 0.931902 | + | 0.362709i | \(0.118148\pi\) | ||||
−0.931902 | + | 0.362709i | \(0.881852\pi\) | |||||||
\(762\) | 6.48651e6 | + | 7.34491e6i | 0.404691 | + | 0.458246i | ||||
\(763\) | −2.10463e7 | − | 2.10463e7i | −1.30877 | − | 1.30877i | ||||
\(764\) | 5.40065e6 | + | 672935.i | 0.334744 | + | 0.0417100i | ||||
\(765\) | −7.70188e6 | + | 7.70188e6i | −0.475821 | + | 0.475821i | ||||
\(766\) | −1.84856e6 | + | 2.97860e7i | −0.113831 | + | 1.83417i | ||||
\(767\) | 4.45999e7 | 2.73745 | ||||||||
\(768\) | −2.68650e7 | + | 8.00348e6i | −1.64355 | + | 0.489639i | ||||
\(769\) | 2.27526e7 | 1.38744 | 0.693721 | − | 0.720244i | \(-0.255970\pi\) | ||||
0.693721 | + | 0.720244i | \(0.255970\pi\) | |||||||
\(770\) | −409054. | + | 6.59112e6i | −0.0248630 | + | 0.400620i | ||||
\(771\) | 1.92825e7 | − | 1.92825e7i | 1.16823 | − | 1.16823i | ||||
\(772\) | −5.01715e6 | − | 625150.i | −0.302980 | − | 0.0377521i | ||||
\(773\) | 1.08132e7 | + | 1.08132e7i | 0.650887 | + | 0.650887i | 0.953207 | − | 0.302319i | \(-0.0977609\pi\) |
−0.302319 | + | 0.953207i | \(0.597761\pi\) | |||||||
\(774\) | 2.01373e7 | + | 2.28022e7i | 1.20823 | + | 1.36812i | ||||
\(775\) | 3.10911e6i | 0.185944i | ||||||||
\(776\) | 1.74544e6 | − | 9.27840e6i | 0.104052 | − | 0.553119i | ||||
\(777\) | − | 3.81769e7i | − | 2.26855i | ||||||
\(778\) | 1.47598e7 | − | 1.30349e7i | 0.874243 | − | 0.772071i | ||||
\(779\) | −574953. | − | 574953.i | −0.0339460 | − | 0.0339460i | ||||
\(780\) | −1.86648e7 | + | 1.45288e7i | −1.09846 | + | 0.855051i | ||||
\(781\) | 1.00057e7 | − | 1.00057e7i | 0.586975 | − | 0.586975i | ||||
\(782\) | −1.99273e7 | − | 1.23672e6i | −1.16528 | − | 0.0723191i | ||||
\(783\) | 8.45936e6 | 0.493098 | ||||||||
\(784\) | −1.35265e7 | − | 3.42405e6i | −0.785953 | − | 0.198953i | ||||
\(785\) | −1.09792e7 | −0.635909 | ||||||||
\(786\) | 1.08524e7 | + | 673514.i | 0.626569 | + | 0.0388858i | ||||
\(787\) | 5.08019e6 | − | 5.08019e6i | 0.292377 | − | 0.292377i | −0.545642 | − | 0.838019i | \(-0.683714\pi\) |
0.838019 | + | 0.545642i | \(0.183714\pi\) | |||||||
\(788\) | 1.46563e7 | + | 1.88286e7i | 0.840829 | + | 1.08019i | ||||
\(789\) | 2.51520e6 | + | 2.51520e6i | 0.143840 | + | 0.143840i | ||||
\(790\) | 5.44326e6 | − | 4.80711e6i | 0.310307 | − | 0.274042i | ||||
\(791\) | 1.69958e7i | 0.965829i | ||||||||
\(792\) | −1.28940e7 | − | 1.88693e7i | −0.730426 | − | 1.06892i | ||||
\(793\) | 3.00461e7i | 1.69670i | ||||||||
\(794\) | −7.69886e6 | − | 8.71769e6i | −0.433386 | − | 0.490739i | ||||
\(795\) | 9.60893e6 | + | 9.60893e6i | 0.539209 | + | 0.539209i | ||||
\(796\) | −2.63405e6 | + | 2.11396e7i | −0.147347 | + | 1.18254i | ||||
\(797\) | −1.03785e6 | + | 1.03785e6i | −0.0578749 | + | 0.0578749i | −0.735452 | − | 0.677577i | \(-0.763030\pi\) |
0.677577 | + | 0.735452i | \(0.263030\pi\) | |||||||
\(798\) | −2.07728e6 | + | 3.34713e7i | −0.115475 | + | 1.86065i | ||||
\(799\) | −2.03621e7 | −1.12838 | ||||||||
\(800\) | −3.44792e6 | − | 1.10412e6i | −0.190472 | − | 0.0609945i | ||||
\(801\) | 2.53257e7 | 1.39470 | ||||||||
\(802\) | −1.04595e6 | + | 1.68534e7i | −0.0574215 | + | 0.925236i | ||||
\(803\) | 3.93008e6 | − | 3.93008e6i | 0.215086 | − | 0.215086i | ||||
\(804\) | −3.76183e6 | + | 3.01906e7i | −0.205239 | + | 1.64715i | ||||
\(805\) | −1.17833e7 | − | 1.17833e7i | −0.640882 | − | 0.640882i | ||||
\(806\) | −2.06015e7 | − | 2.33278e7i | −1.11702 | − | 1.26484i | ||||
\(807\) | 1.82291e7i | 0.985331i | ||||||||
\(808\) | 1.06192e6 | − | 725645.i | 0.0572220 | − | 0.0391017i | ||||
\(809\) | 2.79921e7i | 1.50371i | 0.659327 | + | 0.751856i | \(0.270841\pi\) | ||||
−0.659327 | + | 0.751856i | \(0.729159\pi\) | |||||||
\(810\) | 5.17330e6 | − | 4.56869e6i | 0.277048 | − | 0.244669i | ||||
\(811\) | −1.35385e7 | − | 1.35385e7i | −0.722799 | − | 0.722799i | 0.246375 | − | 0.969174i | \(-0.420760\pi\) |
−0.969174 | + | 0.246375i | \(0.920760\pi\) | |||||||
\(812\) | 4.74523e6 | + | 6.09608e6i | 0.252561 | + | 0.324460i | ||||
\(813\) | −1.60411e7 | + | 1.60411e7i | −0.851152 | + | 0.851152i | ||||
\(814\) | 1.23715e7 | + | 767793.i | 0.654427 | + | 0.0406147i | ||||
\(815\) | 6.76171e6 | 0.356585 | ||||||||
\(816\) | 2.17213e7 | − | 1.29458e7i | 1.14199 | − | 0.680620i | ||||
\(817\) | 1.44936e7 | 0.759665 | ||||||||
\(818\) | 3.00509e6 | + | 186500.i | 0.157027 | + | 0.00974531i | ||||
\(819\) | 6.43479e7 | − | 6.43479e7i | 3.35216 | − | 3.35216i | ||||
\(820\) | −403801. | + | 314321.i | −0.0209717 | + | 0.0163245i | ||||
\(821\) | −1.19363e7 | − | 1.19363e7i | −0.618033 | − | 0.618033i | 0.326993 | − | 0.945027i | \(-0.393964\pi\) |
−0.945027 | + | 0.326993i | \(0.893964\pi\) | |||||||
\(822\) | 1.47673e7 | − | 1.30414e7i | 0.762291 | − | 0.673202i | ||||
\(823\) | − | 2.57975e7i | − | 1.32763i | −0.747897 | − | 0.663815i | \(-0.768936\pi\) | ||
0.747897 | − | 0.663815i | \(-0.231064\pi\) | |||||||
\(824\) | −2.29799e7 | − | 4.32296e6i | −1.17905 | − | 0.221801i | ||||
\(825\) | − | 4.47236e6i | − | 0.228771i | ||||||
\(826\) | −2.63429e7 | − | 2.98290e7i | −1.34343 | − | 1.52121i | ||||
\(827\) | 1.25623e7 | + | 1.25623e7i | 0.638715 | + | 0.638715i | 0.950238 | − | 0.311524i | \(-0.100839\pi\) |
−0.311524 | + | 0.950238i | \(0.600839\pi\) | |||||||
\(828\) | 5.72278e7 | + | 7.13073e6i | 2.90089 | + | 0.361458i | ||||
\(829\) | 1.41127e7 | − | 1.41127e7i | 0.713218 | − | 0.713218i | −0.253989 | − | 0.967207i | \(-0.581743\pi\) |
0.967207 | + | 0.253989i | \(0.0817427\pi\) | |||||||
\(830\) | −228944. | + | 3.68899e6i | −0.0115354 | + | 0.185871i | ||||
\(831\) | 2.28335e7 | 1.14702 | ||||||||
\(832\) | 3.31860e7 | − | 1.45622e7i | 1.66206 | − | 0.729322i | ||||
\(833\) | 1.25867e7 | 0.628492 | ||||||||
\(834\) | −3.85830e6 | + | 6.21690e7i | −0.192079 | + | 3.09499i | ||||
\(835\) | −8.74328e6 | + | 8.74328e6i | −0.433968 | + | 0.433968i | ||||
\(836\) | −1.08048e7 | − | 1.34631e6i | −0.534691 | − | 0.0666239i | ||||
\(837\) | 2.15026e7 | + | 2.15026e7i | 1.06090 | + | 1.06090i | ||||
\(838\) | −2.28456e7 | − | 2.58689e7i | −1.12381 | − | 1.27253i | ||||
\(839\) | 3.23608e7i | 1.58714i | 0.608481 | + | 0.793568i | \(0.291779\pi\) | ||||
−0.608481 | + | 0.793568i | \(0.708221\pi\) | |||||||
\(840\) | 2.07414e7 | + | 3.90184e6i | 1.01424 | + | 0.190797i | ||||
\(841\) | 1.85961e7i | 0.906634i | ||||||||
\(842\) | −1.73399e7 | + | 1.53134e7i | −0.842880 | + | 0.744373i | ||||
\(843\) | −2.96056e7 | − | 2.96056e7i | −1.43484 | − | 1.43484i | ||||
\(844\) | 1.90337e6 | − | 1.48159e6i | 0.0919745 | − | 0.0715934i | ||||
\(845\) | 1.50592e7 | − | 1.50592e7i | 0.725536 | − | 0.725536i | ||||
\(846\) | 5.87024e7 | + | 3.64315e6i | 2.81988 | + | 0.175005i | ||||
\(847\) | −1.55962e7 | −0.746984 | ||||||||
\(848\) | −1.06596e7 | − | 1.78853e7i | −0.509037 | − | 0.854094i | ||||
\(849\) | −8.35117e6 | −0.397629 | ||||||||
\(850\) | 3.25956e6 | + | 202293.i | 0.154743 | + | 0.00960359i | ||||
\(851\) | −2.21172e7 | + | 2.21172e7i | −1.04690 | + | 1.04690i | ||||
\(852\) | −2.77781e7 | − | 3.56858e7i | −1.31100 | − | 1.68421i | ||||
\(853\) | 1.51141e7 | + | 1.51141e7i | 0.711231 | + | 0.711231i | 0.966793 | − | 0.255561i | \(-0.0822603\pi\) |
−0.255561 | + | 0.966793i | \(0.582260\pi\) | |||||||
\(854\) | 2.00953e7 | − | 1.77467e7i | 0.942864 | − | 0.832672i | ||||
\(855\) | − | 1.49893e7i | − | 0.701239i | ||||||
\(856\) | −2.89937e7 | + | 1.98123e7i | −1.35244 | + | 0.924169i | ||||
\(857\) | − | 2.54307e7i | − | 1.18279i | −0.806383 | − | 0.591393i | \(-0.798578\pi\) | ||
0.806383 | − | 0.591393i | \(-0.201422\pi\) | |||||||
\(858\) | 2.96346e7 | + | 3.35563e7i | 1.37430 | + | 1.55617i | ||||
\(859\) | −1.86611e7 | − | 1.86611e7i | −0.862888 | − | 0.862888i | 0.128785 | − | 0.991673i | \(-0.458892\pi\) |
−0.991673 | + | 0.128785i | \(0.958892\pi\) | |||||||
\(860\) | 1.12782e6 | − | 9.05135e6i | 0.0519990 | − | 0.417318i | ||||
\(861\) | 2.10935e6 | − | 2.10935e6i | 0.0969707 | − | 0.0969707i | ||||
\(862\) | −532154. | + | 8.57464e6i | −0.0243932 | + | 0.393050i | ||||
\(863\) | −1.51436e7 | −0.692151 | −0.346076 | − | 0.938207i | \(-0.612486\pi\) | ||||
−0.346076 | + | 0.938207i | \(0.612486\pi\) | |||||||
\(864\) | −3.14818e7 | + | 1.62097e7i | −1.43475 | + | 0.738737i | ||||
\(865\) | −69361.6 | −0.00315194 | ||||||||
\(866\) | −1.05441e6 | + | 1.69897e7i | −0.0477764 | + | 0.769825i | ||||
\(867\) | 1.07106e7 | − | 1.07106e7i | 0.483913 | − | 0.483913i | ||||
\(868\) | −3.43369e6 | + | 2.75571e7i | −0.154690 | + | 1.24147i | ||||
\(869\) | −9.71931e6 | − | 9.71931e6i | −0.436602 | − | 0.436602i | ||||
\(870\) | −3.46321e6 | − | 3.92152e6i | −0.155125 | − | 0.175653i | ||||
\(871\) | − | 3.93332e7i | − | 1.75677i | ||||||
\(872\) | −1.74248e7 | − | 2.54997e7i | −0.776028 | − | 1.13565i | ||||
\(873\) | − | 2.45999e7i | − | 1.09244i | ||||||
\(874\) | 2.05946e7 | − | 1.81877e7i | 0.911956 | − | 0.805376i | ||||
\(875\) | 1.92743e6 | + | 1.92743e6i | 0.0851056 | + | 0.0851056i | ||||
\(876\) | −1.09108e7 | − | 1.40168e7i | −0.480392 | − | 0.617148i | ||||
\(877\) | −2.37412e7 | + | 2.37412e7i | −1.04233 | + | 1.04233i | −0.0432628 | + | 0.999064i | \(0.513775\pi\) |
−0.999064 | + | 0.0432628i | \(0.986225\pi\) | |||||||
\(878\) | 2.12064e6 | + | 131610.i | 0.0928393 | + | 0.00576173i | ||||
\(879\) | 1.08822e7 | 0.475054 | ||||||||
\(880\) | −1.68156e6 | + | 6.64292e6i | −0.0731991 | + | 0.289169i | ||||
\(881\) | 2.76050e7 | 1.19825 | 0.599125 | − | 0.800655i | \(-0.295515\pi\) | ||||
0.599125 | + | 0.800655i | \(0.295515\pi\) | |||||||
\(882\) | −3.62866e7 | − | 2.25200e6i | −1.57063 | − | 0.0974757i | ||||
\(883\) | 1.16330e7 | − | 1.16330e7i | 0.502099 | − | 0.502099i | −0.409991 | − | 0.912090i | \(-0.634468\pi\) |
0.912090 | + | 0.409991i | \(0.134468\pi\) | |||||||
\(884\) | −2.57971e7 | + | 2.00806e7i | −1.11030 | + | 0.864263i | ||||
\(885\) | 1.90575e7 | + | 1.90575e7i | 0.817916 | + | 0.817916i | ||||
\(886\) | 2.09777e7 | − | 1.85260e7i | 0.897786 | − | 0.792862i | ||||
\(887\) | − | 1.76720e7i | − | 0.754184i | −0.926176 | − | 0.377092i | \(-0.876924\pi\) | ||
0.926176 | − | 0.377092i | \(-0.123076\pi\) | |||||||
\(888\) | 7.32374e6 | − | 3.89315e7i | 0.311674 | − | 1.65679i | ||||
\(889\) | 1.13040e7i | 0.479711i | ||||||||
\(890\) | −5.02654e6 | − | 5.69173e6i | −0.212713 | − | 0.240862i | ||||
\(891\) | −9.23726e6 | − | 9.23726e6i | −0.389806 | − | 0.389806i | ||||
\(892\) | −1.95280e7 | − | 2.43324e6i | −0.821760 | − | 0.102393i | ||||
\(893\) | 1.98142e7 | − | 1.98142e7i | 0.831472 | − | 0.831472i | ||||
\(894\) | 592783. | − | 9.55156e6i | 0.0248057 | − | 0.399697i | ||||
\(895\) | 756610. | 0.0315729 | ||||||||
\(896\) | −2.93407e7 | − | 1.35941e7i | −1.22096 | − | 0.565691i | ||||
\(897\) | −1.12970e8 | −4.68794 | ||||||||
\(898\) | 2.39888e6 | − | 3.86533e7i | 0.0992699 | − | 1.59954i | ||||
\(899\) | 4.86777e6 | − | 4.86777e6i | 0.200877 | − | 0.200877i | ||||
\(900\) | −9.36089e6 | − | 1.16639e6i | −0.385222 | − | 0.0479997i | ||||
\(901\) | 1.32808e7 | + | 1.32808e7i | 0.545018 | + | 0.545018i | ||||
\(902\) | 641128. | + | 725972.i | 0.0262378 | + | 0.0297100i | ||||
\(903\) | 5.31733e7i | 2.17007i | ||||||||
\(904\) | −3.26042e6 | + | 1.73317e7i | −0.132694 | + | 0.705375i | ||||
\(905\) | 1.77979e6i | 0.0722351i | ||||||||
\(906\) | 2.66949e7 | − | 2.35751e7i | 1.08046 | − | 0.954185i | ||||
\(907\) | −9.33679e6 | − | 9.33679e6i | −0.376859 | − | 0.376859i | 0.493108 | − | 0.869968i | \(-0.335861\pi\) |
−0.869968 | + | 0.493108i | \(0.835861\pi\) | |||||||
\(908\) | −2.00430e6 | + | 1.56016e6i | −0.0806768 | + | 0.0627993i | ||||
\(909\) | 2.36969e6 | − | 2.36969e6i | 0.0951221 | − | 0.0951221i | ||||
\(910\) | −2.72331e7 | − | 1.69012e6i | −1.09017 | − | 0.0676573i | ||||
\(911\) | −2.27888e7 | −0.909759 | −0.454879 | − | 0.890553i | \(-0.650318\pi\) | ||||
−0.454879 | + | 0.890553i | \(0.650318\pi\) | |||||||
\(912\) | −8.53937e6 | + | 3.37344e7i | −0.339968 | + | 1.34303i | ||||
\(913\) | 6.99573e6 | 0.277751 | ||||||||
\(914\) | 4.53875e7 | + | 2.81681e6i | 1.79709 | + | 0.111530i | ||||
\(915\) | −1.28387e7 | + | 1.28387e7i | −0.506954 | + | 0.506954i | ||||
\(916\) | −3.02459e7 | − | 3.88563e7i | −1.19105 | − | 1.53011i | ||||
\(917\) | 8.86937e6 | + | 8.86937e6i | 0.348313 | + | 0.348313i | ||||
\(918\) | 2.39421e7 | − | 2.11440e7i | 0.937683 | − | 0.828096i | ||||
\(919\) | 4.21933e7i | 1.64799i | 0.566596 | + | 0.823995i | \(0.308260\pi\) | ||||
−0.566596 | + | 0.823995i | \(0.691740\pi\) | |||||||
\(920\) | −9.75574e6 | − | 1.42767e7i | −0.380006 | − | 0.556107i | ||||
\(921\) | 7.06910e7i | 2.74609i | ||||||||
\(922\) | 9.11362e6 | + | 1.03197e7i | 0.353072 | + | 0.399796i | ||||
\(923\) | 4.13413e7 | + | 4.13413e7i | 1.59728 | + | 1.59728i | ||||
\(924\) | 4.93926e6 | − | 3.96401e7i | 0.190319 | − | 1.52741i | ||||
\(925\) | 3.61777e6 | − | 3.61777e6i | 0.139023 | − | 0.139023i | ||||
\(926\) | −1.63557e6 | + | 2.63540e7i | −0.0626817 | + | 1.00999i | ||||
\(927\) | −6.09268e7 | −2.32868 | ||||||||
\(928\) | 3.66956e6 | + | 7.12688e6i | 0.139876 | + | 0.271662i | ||||
\(929\) | −3.17743e7 | −1.20791 | −0.603957 | − | 0.797017i | \(-0.706410\pi\) | ||||
−0.603957 | + | 0.797017i | \(0.706410\pi\) | |||||||
\(930\) | 1.16495e6 | − | 1.87710e7i | 0.0441674 | − | 0.711672i | ||||
\(931\) | −1.22480e7 | + | 1.22480e7i | −0.463119 | + | 0.463119i | ||||
\(932\) | −899673. | + | 7.22033e6i | −0.0339269 | + | 0.272281i | ||||
\(933\) | 2.63060e7 | + | 2.63060e7i | 0.989351 | + | 0.989351i | ||||
\(934\) | 4.91336e6 | + | 5.56358e6i | 0.184294 | + | 0.208683i | ||||
\(935\) | − | 6.18137e6i | − | 0.231236i | ||||||
\(936\) | 7.79640e7 | − | 5.32754e7i | 2.90874 | − | 1.98764i | ||||
\(937\) | − | 4.05781e7i | − | 1.50988i | −0.655793 | − | 0.754941i | \(-0.727666\pi\) | ||
0.655793 | − | 0.754941i | \(-0.272334\pi\) | |||||||
\(938\) | −2.63066e7 | + | 2.32322e7i | −0.976243 | + | 0.862150i | ||||
\(939\) | −8.77967e6 | − | 8.77967e6i | −0.324948 | − | 0.324948i | ||||
\(940\) | −1.08322e7 | − | 1.39159e7i | −0.399851 | − | 0.513679i | ||||
\(941\) | −1.12070e7 | + | 1.12070e7i | −0.412587 | + | 0.412587i | −0.882639 | − | 0.470052i | \(-0.844235\pi\) |
0.470052 | + | 0.882639i | \(0.344235\pi\) | |||||||
\(942\) | 6.62858e7 | + | 4.11379e6i | 2.43385 | + | 0.151048i | ||||
\(943\) | −2.44404e6 | −0.0895013 | ||||||||
\(944\) | −2.11413e7 | − | 3.54721e7i | −0.772149 | − | 1.29556i | ||||
\(945\) | 2.66601e7 | 0.971142 | ||||||||
\(946\) | −1.72312e7 | − | 1.06939e6i | −0.626018 | − | 0.0388516i | ||||
\(947\) | 7.79436e6 | − | 7.79436e6i | 0.282427 | − | 0.282427i | −0.551649 | − | 0.834076i | \(-0.686001\pi\) |
0.834076 | + | 0.551649i | \(0.186001\pi\) | |||||||
\(948\) | −3.46644e7 | + | 2.69830e7i | −1.25275 | + | 0.975145i | ||||
\(949\) | 1.62382e7 | + | 1.62382e7i | 0.585292 | + | 0.585292i | ||||
\(950\) | −3.36871e6 | + | 2.97501e6i | −0.121103 | + | 0.106950i | ||||
\(951\) | − | 3.86905e7i | − | 1.38725i | ||||||
\(952\) | 2.86672e7 | + | 5.39284e6i | 1.02516 | + | 0.192853i | ||||
\(953\) | 1.50521e7i | 0.536864i | 0.963299 | + | 0.268432i | \(0.0865055\pi\) | ||||
−0.963299 | + | 0.268432i | \(0.913495\pi\) | |||||||
\(954\) | −3.59113e7 | − | 4.06637e7i | −1.27750 | − | 1.44656i | ||||
\(955\) | −3.00654e6 | − | 3.00654e6i | −0.106674 | − | 0.106674i | ||||
\(956\) | 2.29889e7 | + | 2.86448e6i | 0.813529 | + | 0.101368i | ||||
\(957\) | −7.00213e6 | + | 7.00213e6i | −0.247144 | + | 0.247144i | ||||
\(958\) | −360889. | + | 5.81503e6i | −0.0127046 | + | 0.204710i | ||||
\(959\) | 2.27273e7 | 0.797997 | ||||||||
\(960\) | 2.04028e7 | + | 7.95792e6i | 0.714516 | + | 0.278690i | ||||
\(961\) | −3.88275e6 | −0.135622 | ||||||||
\(962\) | −3.17235e6 | + | 5.11163e7i | −0.110521 | + | 1.78083i | ||||
\(963\) | −6.46998e7 | + | 6.46998e7i | −2.24821 | + | 2.24821i | ||||
\(964\) | 4.87792e7 | + | 6.07802e6i | 1.69061 | + | 0.210654i | ||||
\(965\) | 2.79304e6 | + | 2.79304e6i | 0.0965515 | + | 0.0965515i | ||||
\(966\) | 6.67258e7 | + | 7.55560e7i | 2.30065 | + | 2.60511i | ||||
\(967\) | 2.76392e7i | 0.950516i | 0.879846 | + | 0.475258i | \(0.157645\pi\) | ||||
−0.879846 | + | 0.475258i | \(0.842355\pi\) | |||||||
\(968\) | −1.59045e7 | − | 2.99193e6i | −0.545546 | − | 0.102627i | ||||
\(969\) | − | 3.13905e7i | − | 1.07396i | ||||||
\(970\) | −5.52859e6 | + | 4.88247e6i | −0.188662 | + | 0.166613i | ||||
\(971\) | 8.33388e6 | + | 8.33388e6i | 0.283661 | + | 0.283661i | 0.834567 | − | 0.550906i | \(-0.185718\pi\) |
−0.550906 | + | 0.834567i | \(0.685718\pi\) | |||||||
\(972\) | 4.56454e6 | − | 3.55306e6i | 0.154964 | − | 0.120625i | ||||
\(973\) | −5.08091e7 | + | 5.08091e7i | −1.72052 | + | 1.72052i | ||||
\(974\) | −2.11708e7 | − | 1.31389e6i | −0.715055 | − | 0.0443773i | ||||
\(975\) | 1.84788e7 | 0.622533 | ||||||||
\(976\) | 2.38969e7 | − | 1.42425e7i | 0.803003 | − | 0.478587i | ||||
\(977\) | −3.12703e7 | −1.04808 | −0.524041 | − | 0.851693i | \(-0.675576\pi\) | ||||
−0.524041 | + | 0.851693i | \(0.675576\pi\) | |||||||
\(978\) | −4.08233e7 | − | 2.53355e6i | −1.36477 | − | 0.0846998i | ||||
\(979\) | −1.01630e7 | + | 1.01630e7i | −0.338894 | + | 0.338894i | ||||
\(980\) | 6.69588e6 | + | 8.60205e6i | 0.222712 | + | 0.286112i | ||||
\(981\) | −5.69030e7 | − | 5.69030e7i | −1.88783 | − | 1.88783i | ||||
\(982\) | 1.90632e7 | − | 1.68353e7i | 0.630836 | − | 0.557110i | ||||
\(983\) | − | 3.33999e7i | − | 1.10246i | −0.834355 | − | 0.551228i | \(-0.814159\pi\) | ||
0.834355 | − | 0.551228i | \(-0.185841\pi\) | |||||||
\(984\) | 2.55569e6 | − | 1.74639e6i | 0.0841435 | − | 0.0574980i | ||||
\(985\) | − | 1.86410e7i | − | 0.612179i | ||||||
\(986\) | −4.78660e6 | − | 5.42004e6i | −0.156796 | − | 0.177546i | ||||
\(987\) | 7.26930e7 | + | 7.26930e7i | 2.37520 | + | 2.37520i | ||||
\(988\) | 5.56267e6 | − | 4.46432e7i | 0.181297 | − | 1.45500i | ||||
\(989\) | 3.08052e7 | − | 3.08052e7i | 1.00146 | − | 1.00146i | ||||
\(990\) | −1.10596e6 | + | 1.78205e7i | −0.0358635 | + | 0.577871i | ||||
\(991\) | −4.48473e7 | −1.45061 | −0.725307 | − | 0.688425i | \(-0.758302\pi\) | ||||
−0.725307 | + | 0.688425i | \(0.758302\pi\) | |||||||
\(992\) | −8.78803e6 | + | 2.74431e7i | −0.283539 | + | 0.885429i | ||||
\(993\) | 3.37825e6 | 0.108722 | ||||||||
\(994\) | 3.23141e6 | − | 5.20679e7i | 0.103735 | − | 1.67149i | ||||
\(995\) | 1.17684e7 | − | 1.17684e7i | 0.376843 | − | 0.376843i | ||||
\(996\) | 2.76446e6 | − | 2.21862e7i | 0.0883003 | − | 0.708655i | ||||
\(997\) | 8.52485e6 | + | 8.52485e6i | 0.271612 | + | 0.271612i | 0.829749 | − | 0.558137i | \(-0.188484\pi\) |
−0.558137 | + | 0.829749i | \(0.688484\pi\) | |||||||
\(998\) | −4.95507e6 | − | 5.61080e6i | −0.157479 | − | 0.178319i | ||||
\(999\) | − | 5.00409e7i | − | 1.58640i |
(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 | 80.6.l.a.21.19 | ✓ | 80 | |
4.3 | odd | 2 | 320.6.l.a.241.38 | 80 | |||
16.3 | odd | 4 | 320.6.l.a.81.38 | 80 | |||
16.13 | even | 4 | inner | 80.6.l.a.61.19 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.6.l.a.21.19 | ✓ | 80 | 1.1 | even | 1 | trivial | |
80.6.l.a.61.19 | yes | 80 | 16.13 | even | 4 | inner | |
320.6.l.a.81.38 | 80 | 16.3 | odd | 4 | |||
320.6.l.a.241.38 | 80 | 4.3 | odd | 2 |