Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,9,Mod(19,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.d (of order \(2\), degree \(1\), 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: | \(8.14757220122\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 94 x^{18} + 5343 x^{16} + 172772 x^{14} + 36131456 x^{12} + 3044563968 x^{10} + \cdots + 11\!\cdots\!76 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{74}\cdot 3^{4}\cdot 5^{12} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 19.15 | ||
Root | \(3.61621 - 7.13604i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 20.19 |
Dual form | 20.9.d.c.19.16 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.23243 | − | 14.2721i | 0.452027 | − | 0.892004i | ||||
\(3\) | −44.3270 | −0.547247 | −0.273624 | − | 0.961837i | \(-0.588222\pi\) | ||||
−0.273624 | + | 0.961837i | \(0.588222\pi\) | |||||||
\(4\) | −151.384 | − | 206.443i | −0.591344 | − | 0.806420i | ||||
\(5\) | 530.961 | − | 329.705i | 0.849538 | − | 0.527527i | ||||
\(6\) | −320.592 | + | 632.638i | −0.247370 | + | 0.488147i | ||||
\(7\) | −2826.75 | −1.17732 | −0.588661 | − | 0.808380i | \(-0.700345\pi\) | ||||
−0.588661 | + | 0.808380i | \(0.700345\pi\) | |||||||
\(8\) | −4041.25 | + | 667.476i | −0.986633 | + | 0.162958i | ||||
\(9\) | −4596.11 | −0.700520 | ||||||||
\(10\) | −865.429 | − | 9962.48i | −0.0865429 | − | 0.996248i | ||||
\(11\) | 18327.2i | 1.25177i | 0.779915 | + | 0.625885i | \(0.215262\pi\) | ||||
−0.779915 | + | 0.625885i | \(0.784738\pi\) | |||||||
\(12\) | 6710.40 | + | 9151.02i | 0.323611 | + | 0.441311i | ||||
\(13\) | − | 13946.9i | − | 0.488320i | −0.969735 | − | 0.244160i | \(-0.921488\pi\) | ||
0.969735 | − | 0.244160i | \(-0.0785122\pi\) | |||||||
\(14\) | −20444.3 | + | 40343.6i | −0.532181 | + | 1.05018i | ||||
\(15\) | −23535.9 | + | 14614.8i | −0.464907 | + | 0.288688i | ||||
\(16\) | −19701.8 | + | 62504.5i | −0.300625 | + | 0.953742i | ||||
\(17\) | − | 96189.1i | − | 1.15168i | −0.817564 | − | 0.575838i | \(-0.804676\pi\) | ||
0.817564 | − | 0.575838i | \(-0.195324\pi\) | |||||||
\(18\) | −33241.1 | + | 65596.1i | −0.316654 | + | 0.624867i | ||||
\(19\) | − | 153485.i | − | 1.17775i | −0.808225 | − | 0.588873i | \(-0.799572\pi\) | ||
0.808225 | − | 0.588873i | \(-0.200428\pi\) | |||||||
\(20\) | −148444. | − | 59701.5i | −0.927777 | − | 0.373134i | ||||
\(21\) | 125301. | 0.644286 | ||||||||
\(22\) | 261567. | + | 132550.i | 1.11658 | + | 0.565833i | ||||
\(23\) | −339368. | −1.21272 | −0.606358 | − | 0.795191i | \(-0.707370\pi\) | ||||
−0.606358 | + | 0.795191i | \(0.707370\pi\) | |||||||
\(24\) | 179137. | − | 29587.2i | 0.539932 | − | 0.0891784i | ||||
\(25\) | 173215. | − | 350121.i | 0.443430 | − | 0.896309i | ||||
\(26\) | −199051. | − | 100870.i | −0.435583 | − | 0.220734i | ||||
\(27\) | 494562. | 0.930605 | ||||||||
\(28\) | 427925. | + | 583564.i | 0.696202 | + | 0.949416i | ||||
\(29\) | 758065. | 1.07180 | 0.535901 | − | 0.844281i | \(-0.319972\pi\) | ||||
0.535901 | + | 0.844281i | \(0.319972\pi\) | |||||||
\(30\) | 38361.9 | + | 441607.i | 0.0473603 | + | 0.545194i | ||||
\(31\) | − | 1.01418e6i | − | 1.09817i | −0.835768 | − | 0.549083i | \(-0.814977\pi\) | ||
0.835768 | − | 0.549083i | \(-0.185023\pi\) | |||||||
\(32\) | 749577. | + | 733244.i | 0.714852 | + | 0.699276i | ||||
\(33\) | − | 812389.i | − | 0.685028i | ||||||
\(34\) | −1.37282e6 | − | 695681.i | −1.02730 | − | 0.520588i | ||||
\(35\) | −1.50090e6 | + | 931993.i | −1.00018 | + | 0.621070i | ||||
\(36\) | 695778. | + | 948838.i | 0.414248 | + | 0.564913i | ||||
\(37\) | − | 135354.i | − | 0.0722211i | −0.999348 | − | 0.0361106i | \(-0.988503\pi\) | ||
0.999348 | − | 0.0361106i | \(-0.0114968\pi\) | |||||||
\(38\) | −2.19055e6 | − | 1.11007e6i | −1.05056 | − | 0.532373i | ||||
\(39\) | 618224.i | 0.267232i | ||||||||
\(40\) | −1.92568e6 | + | 1.68682e6i | −0.752217 | + | 0.658915i | ||||
\(41\) | −2.56309e6 | −0.907045 | −0.453523 | − | 0.891245i | \(-0.649833\pi\) | ||||
−0.453523 | + | 0.891245i | \(0.649833\pi\) | |||||||
\(42\) | 906233. | − | 1.78831e6i | 0.291235 | − | 0.574706i | ||||
\(43\) | 852539. | 0.249368 | 0.124684 | − | 0.992197i | \(-0.460208\pi\) | ||||
0.124684 | + | 0.992197i | \(0.460208\pi\) | |||||||
\(44\) | 3.78352e6 | − | 2.77444e6i | 1.00945 | − | 0.740226i | ||||
\(45\) | −2.44036e6 | + | 1.51536e6i | −0.595119 | + | 0.369544i | ||||
\(46\) | −2.45445e6 | + | 4.84348e6i | −0.548180 | + | 1.08175i | ||||
\(47\) | 1.25626e6 | 0.257447 | 0.128723 | − | 0.991681i | \(-0.458912\pi\) | ||||
0.128723 | + | 0.991681i | \(0.458912\pi\) | |||||||
\(48\) | 873321. | − | 2.77064e6i | 0.164516 | − | 0.521933i | ||||
\(49\) | 2.22572e6 | 0.386087 | ||||||||
\(50\) | −3.74418e6 | − | 5.00436e6i | −0.599070 | − | 0.800697i | ||||
\(51\) | 4.26378e6i | 0.630251i | ||||||||
\(52\) | −2.87925e6 | + | 2.11134e6i | −0.393791 | + | 0.288765i | ||||
\(53\) | 1.00203e7i | 1.26993i | 0.772542 | + | 0.634963i | \(0.218985\pi\) | ||||
−0.772542 | + | 0.634963i | \(0.781015\pi\) | |||||||
\(54\) | 3.57688e6 | − | 7.05842e6i | 0.420658 | − | 0.830104i | ||||
\(55\) | 6.04255e6 | + | 9.73101e6i | 0.660343 | + | 1.06343i | ||||
\(56\) | 1.14236e7 | − | 1.88679e6i | 1.16158 | − | 0.191854i | ||||
\(57\) | 6.80354e6i | 0.644519i | ||||||||
\(58\) | 5.48265e6 | − | 1.08192e7i | 0.484483 | − | 0.956052i | ||||
\(59\) | − | 2.35908e7i | − | 1.94686i | −0.228979 | − | 0.973431i | \(-0.573539\pi\) | ||
0.228979 | − | 0.973431i | \(-0.426461\pi\) | |||||||
\(60\) | 6.58010e6 | + | 2.64639e6i | 0.507724 | + | 0.204197i | ||||
\(61\) | −5.69128e6 | −0.411046 | −0.205523 | − | 0.978652i | \(-0.565890\pi\) | ||||
−0.205523 | + | 0.978652i | \(0.565890\pi\) | |||||||
\(62\) | −1.44744e7 | − | 7.33498e6i | −0.979569 | − | 0.496400i | ||||
\(63\) | 1.29921e7 | 0.824738 | ||||||||
\(64\) | 1.58862e7 | − | 5.39488e6i | 0.946889 | − | 0.321560i | ||||
\(65\) | −4.59836e6 | − | 7.40526e6i | −0.257602 | − | 0.414846i | ||||
\(66\) | −1.15945e7 | − | 5.87554e6i | −0.611048 | − | 0.309651i | ||||
\(67\) | −1.76526e7 | −0.876010 | −0.438005 | − | 0.898973i | \(-0.644315\pi\) | ||||
−0.438005 | + | 0.898973i | \(0.644315\pi\) | |||||||
\(68\) | −1.98576e7 | + | 1.45615e7i | −0.928734 | + | 0.681036i | ||||
\(69\) | 1.50432e7 | 0.663656 | ||||||||
\(70\) | 2.44635e6 | + | 2.81614e7i | 0.101889 | + | 1.17290i | ||||
\(71\) | 3.89940e6i | 0.153449i | 0.997052 | + | 0.0767246i | \(0.0244462\pi\) | ||||
−0.997052 | + | 0.0767246i | \(0.975554\pi\) | |||||||
\(72\) | 1.85740e7 | − | 3.06780e6i | 0.691157 | − | 0.114156i | ||||
\(73\) | 9.62921e6i | 0.339078i | 0.985523 | + | 0.169539i | \(0.0542278\pi\) | ||||
−0.985523 | + | 0.169539i | \(0.945772\pi\) | |||||||
\(74\) | −1.93178e6 | − | 978938.i | −0.0644216 | − | 0.0326459i | ||||
\(75\) | −7.67810e6 | + | 1.55198e7i | −0.242666 | + | 0.490503i | ||||
\(76\) | −3.16860e7 | + | 2.32352e7i | −0.949758 | + | 0.696453i | ||||
\(77\) | − | 5.18063e7i | − | 1.47374i | ||||||
\(78\) | 8.82334e6 | + | 4.47126e6i | 0.238372 | + | 0.120796i | ||||
\(79\) | 2.34959e6i | 0.0603232i | 0.999545 | + | 0.0301616i | \(0.00960220\pi\) | ||||
−0.999545 | + | 0.0301616i | \(0.990398\pi\) | |||||||
\(80\) | 1.01471e7 | + | 3.96832e7i | 0.247733 | + | 0.968828i | ||||
\(81\) | 8.23266e6 | 0.191249 | ||||||||
\(82\) | −1.85374e7 | + | 3.65806e7i | −0.410009 | + | 0.809088i | ||||
\(83\) | −1.26930e7 | −0.267456 | −0.133728 | − | 0.991018i | \(-0.542695\pi\) | ||||
−0.133728 | + | 0.991018i | \(0.542695\pi\) | |||||||
\(84\) | −1.89686e7 | − | 2.58677e7i | −0.380995 | − | 0.519565i | ||||
\(85\) | −3.17140e7 | − | 5.10727e7i | −0.607540 | − | 0.978392i | ||||
\(86\) | 6.16593e6 | − | 1.21675e7i | 0.112721 | − | 0.222437i | ||||
\(87\) | −3.36028e7 | −0.586541 | ||||||||
\(88\) | −1.22330e7 | − | 7.40646e7i | −0.203986 | − | 1.23504i | ||||
\(89\) | 6.42709e7 | 1.02436 | 0.512182 | − | 0.858877i | \(-0.328837\pi\) | ||||
0.512182 | + | 0.858877i | \(0.328837\pi\) | |||||||
\(90\) | 3.97761e6 | + | 4.57887e7i | 0.0606250 | + | 0.697892i | ||||
\(91\) | 3.94244e7i | 0.574910i | ||||||||
\(92\) | 5.13749e7 | + | 7.00603e7i | 0.717133 | + | 0.977959i | ||||
\(93\) | 4.49555e7i | 0.600968i | ||||||||
\(94\) | 9.08579e6 | − | 1.79294e7i | 0.116373 | − | 0.229643i | ||||
\(95\) | −5.06048e7 | − | 8.14947e7i | −0.621294 | − | 1.00054i | ||||
\(96\) | −3.32265e7 | − | 3.25025e7i | −0.391201 | − | 0.382677i | ||||
\(97\) | − | 6.62485e6i | − | 0.0748323i | −0.999300 | − | 0.0374161i | \(-0.988087\pi\) | ||
0.999300 | − | 0.0374161i | \(-0.0119127\pi\) | |||||||
\(98\) | 1.60973e7 | − | 3.17656e7i | 0.174522 | − | 0.344392i | ||||
\(99\) | − | 8.42338e7i | − | 0.876891i | ||||||
\(100\) | −9.85021e7 | + | 1.72436e7i | −0.985021 | + | 0.172436i | ||||
\(101\) | 5.22160e7 | 0.501786 | 0.250893 | − | 0.968015i | \(-0.419276\pi\) | ||||
0.250893 | + | 0.968015i | \(0.419276\pi\) | |||||||
\(102\) | 6.08529e7 | + | 3.08374e7i | 0.562187 | + | 0.284890i | ||||
\(103\) | 1.19619e8 | 1.06280 | 0.531401 | − | 0.847120i | \(-0.321666\pi\) | ||||
0.531401 | + | 0.847120i | \(0.321666\pi\) | |||||||
\(104\) | 9.30923e6 | + | 5.63629e7i | 0.0795757 | + | 0.481792i | ||||
\(105\) | 6.65302e7 | − | 4.13125e7i | 0.547346 | − | 0.339879i | ||||
\(106\) | 1.43011e8 | + | 7.24713e7i | 1.13278 | + | 0.574041i | ||||
\(107\) | 1.97409e8 | 1.50602 | 0.753011 | − | 0.658008i | \(-0.228601\pi\) | ||||
0.753011 | + | 0.658008i | \(0.228601\pi\) | |||||||
\(108\) | −7.48687e7 | − | 1.02099e8i | −0.550308 | − | 0.750458i | ||||
\(109\) | −2.24099e8 | −1.58758 | −0.793788 | − | 0.608195i | \(-0.791894\pi\) | ||||
−0.793788 | + | 0.608195i | \(0.791894\pi\) | |||||||
\(110\) | 1.82584e8 | − | 1.58609e7i | 1.24707 | − | 0.108332i | ||||
\(111\) | 5.99984e6i | 0.0395228i | ||||||||
\(112\) | 5.56920e7 | − | 1.76685e8i | 0.353933 | − | 1.12286i | ||||
\(113\) | 3.24514e8i | 1.99031i | 0.0983370 | + | 0.995153i | \(0.468648\pi\) | ||||
−0.0983370 | + | 0.995153i | \(0.531352\pi\) | |||||||
\(114\) | 9.71006e7 | + | 4.92061e7i | 0.574913 | + | 0.291340i | ||||
\(115\) | −1.80191e8 | + | 1.11891e8i | −1.03025 | + | 0.639741i | ||||
\(116\) | −1.14759e8 | − | 1.56498e8i | −0.633804 | − | 0.864322i | ||||
\(117\) | 6.41015e7i | 0.342078i | ||||||||
\(118\) | −3.36690e8 | − | 1.70619e8i | −1.73661 | − | 0.880034i | ||||
\(119\) | 2.71903e8i | 1.35589i | ||||||||
\(120\) | 8.53595e7 | − | 7.47718e7i | 0.411649 | − | 0.360589i | ||||
\(121\) | −1.21526e8 | −0.566928 | ||||||||
\(122\) | −4.11618e7 | + | 8.12264e7i | −0.185804 | + | 0.366655i | ||||
\(123\) | 1.13614e8 | 0.496378 | ||||||||
\(124\) | −2.09371e8 | + | 1.53530e8i | −0.885582 | + | 0.649393i | ||||
\(125\) | −2.34661e7 | − | 2.43010e8i | −0.0961170 | − | 0.995370i | ||||
\(126\) | 9.39642e7 | − | 1.85424e8i | 0.372804 | − | 0.735670i | ||||
\(127\) | −3.41089e8 | −1.31115 | −0.655576 | − | 0.755129i | \(-0.727574\pi\) | ||||
−0.655576 | + | 0.755129i | \(0.727574\pi\) | |||||||
\(128\) | 3.78995e7 | − | 2.65747e8i | 0.141187 | − | 0.989983i | ||||
\(129\) | −3.77905e7 | −0.136466 | ||||||||
\(130\) | −1.38946e8 | + | 1.20700e7i | −0.486488 | + | 0.0422606i | ||||
\(131\) | − | 2.72281e8i | − | 0.924553i | −0.886736 | − | 0.462277i | \(-0.847033\pi\) | ||
0.886736 | − | 0.462277i | \(-0.152967\pi\) | |||||||
\(132\) | −1.67712e8 | + | 1.22983e8i | −0.552420 | + | 0.405087i | ||||
\(133\) | 4.33864e8i | 1.38659i | ||||||||
\(134\) | −1.27671e8 | + | 2.51939e8i | −0.395980 | + | 0.781404i | ||||
\(135\) | 2.62593e8 | − | 1.63059e8i | 0.790584 | − | 0.490920i | ||||
\(136\) | 6.42040e7 | + | 3.88724e8i | 0.187675 | + | 1.13628i | ||||
\(137\) | − | 3.75590e8i | − | 1.06618i | −0.846057 | − | 0.533092i | \(-0.821030\pi\) | ||
0.846057 | − | 0.533092i | \(-0.178970\pi\) | |||||||
\(138\) | 1.08799e8 | − | 2.14697e8i | 0.299990 | − | 0.591984i | ||||
\(139\) | 5.07197e8i | 1.35868i | 0.733823 | + | 0.679340i | \(0.237734\pi\) | ||||
−0.733823 | + | 0.679340i | \(0.762266\pi\) | |||||||
\(140\) | 4.19615e8 | + | 1.68761e8i | 1.09229 | + | 0.439299i | ||||
\(141\) | −5.56861e7 | −0.140887 | ||||||||
\(142\) | 5.56526e7 | + | 2.82022e7i | 0.136877 | + | 0.0693632i | ||||
\(143\) | 2.55607e8 | 0.611264 | ||||||||
\(144\) | 9.05516e7 | − | 2.87278e8i | 0.210594 | − | 0.668116i | ||||
\(145\) | 4.02503e8 | − | 2.49938e8i | 0.910537 | − | 0.565405i | ||||
\(146\) | 1.37429e8 | + | 6.96426e7i | 0.302459 | + | 0.153272i | ||||
\(147\) | −9.86594e7 | −0.211285 | ||||||||
\(148\) | −2.79429e7 | + | 2.04904e7i | −0.0582405 | + | 0.0427075i | ||||
\(149\) | −7.01900e7 | −0.142407 | −0.0712033 | − | 0.997462i | \(-0.522684\pi\) | ||||
−0.0712033 | + | 0.997462i | \(0.522684\pi\) | |||||||
\(150\) | 1.65969e8 | + | 2.21828e8i | 0.327839 | + | 0.438179i | ||||
\(151\) | − | 3.99910e8i | − | 0.769228i | −0.923078 | − | 0.384614i | \(-0.874335\pi\) | ||
0.923078 | − | 0.384614i | \(-0.125665\pi\) | |||||||
\(152\) | 1.02448e8 | + | 6.20272e8i | 0.191923 | + | 1.16200i | ||||
\(153\) | 4.42096e8i | 0.806772i | ||||||||
\(154\) | −7.39383e8 | − | 3.74685e8i | −1.31458 | − | 0.666168i | ||||
\(155\) | −3.34379e8 | − | 5.38490e8i | −0.579312 | − | 0.932934i | ||||
\(156\) | 1.27628e8 | − | 9.35893e7i | 0.215501 | − | 0.158026i | ||||
\(157\) | − | 6.98489e8i | − | 1.14964i | −0.818281 | − | 0.574819i | \(-0.805073\pi\) | ||
0.818281 | − | 0.574819i | \(-0.194927\pi\) | |||||||
\(158\) | 3.35336e7 | + | 1.69933e7i | 0.0538086 | + | 0.0272677i | ||||
\(159\) | − | 4.44171e8i | − | 0.694964i | ||||||
\(160\) | 6.39750e8 | + | 1.42185e8i | 0.976181 | + | 0.216958i | ||||
\(161\) | 9.59308e8 | 1.42776 | ||||||||
\(162\) | 5.95421e7 | − | 1.17497e8i | 0.0864498 | − | 0.170595i | ||||
\(163\) | 3.45753e8 | 0.489796 | 0.244898 | − | 0.969549i | \(-0.421245\pi\) | ||||
0.244898 | + | 0.969549i | \(0.421245\pi\) | |||||||
\(164\) | 3.88011e8 | + | 5.29134e8i | 0.536375 | + | 0.731459i | ||||
\(165\) | −2.67848e8 | − | 4.31347e8i | −0.361371 | − | 0.581957i | ||||
\(166\) | −9.18013e7 | + | 1.81156e8i | −0.120897 | + | 0.238572i | ||||
\(167\) | −9.80032e8 | −1.26001 | −0.630006 | − | 0.776591i | \(-0.716947\pi\) | ||||
−0.630006 | + | 0.776591i | \(0.716947\pi\) | |||||||
\(168\) | −5.06374e8 | + | 8.36358e7i | −0.635674 | + | 0.104992i | ||||
\(169\) | 6.21215e8 | 0.761544 | ||||||||
\(170\) | −9.58282e8 | + | 8.32448e7i | −1.14735 | + | 0.0996693i | ||||
\(171\) | 7.05435e8i | 0.825036i | ||||||||
\(172\) | −1.29061e8 | − | 1.76001e8i | −0.147462 | − | 0.201095i | ||||
\(173\) | − | 9.30284e8i | − | 1.03856i | −0.854604 | − | 0.519280i | \(-0.826200\pi\) | ||
0.854604 | − | 0.519280i | \(-0.173800\pi\) | |||||||
\(174\) | −2.43030e8 | + | 4.79581e8i | −0.265132 | + | 0.523197i | ||||
\(175\) | −4.89635e8 | + | 9.89704e8i | −0.522060 | + | 1.05524i | ||||
\(176\) | −1.14553e9 | − | 3.61077e8i | −1.19387 | − | 0.376313i | ||||
\(177\) | 1.04571e9i | 1.06542i | ||||||||
\(178\) | 4.64835e8 | − | 9.17279e8i | 0.463040 | − | 0.913737i | ||||
\(179\) | − | 3.62399e8i | − | 0.353000i | −0.984301 | − | 0.176500i | \(-0.943522\pi\) | ||
0.984301 | − | 0.176500i | \(-0.0564776\pi\) | |||||||
\(180\) | 6.82267e8 | + | 2.74395e8i | 0.649927 | + | 0.261388i | ||||
\(181\) | −1.52080e9 | −1.41696 | −0.708479 | − | 0.705732i | \(-0.750618\pi\) | ||||
−0.708479 | + | 0.705732i | \(0.750618\pi\) | |||||||
\(182\) | 5.62668e8 | + | 2.85134e8i | 0.512822 | + | 0.259874i | ||||
\(183\) | 2.52278e8 | 0.224944 | ||||||||
\(184\) | 1.37147e9 | − | 2.26520e8i | 1.19651 | − | 0.197622i | ||||
\(185\) | −4.46268e7 | − | 7.18677e7i | −0.0380986 | − | 0.0613546i | ||||
\(186\) | 6.41609e8 | + | 3.25138e8i | 0.536066 | + | 0.271654i | ||||
\(187\) | 1.76287e9 | 1.44163 | ||||||||
\(188\) | −1.90177e8 | − | 2.59346e8i | −0.152239 | − | 0.207610i | ||||
\(189\) | −1.39800e9 | −1.09562 | ||||||||
\(190\) | −1.52909e9 | + | 1.32830e8i | −1.17333 | + | 0.101926i | ||||
\(191\) | 8.08221e8i | 0.607290i | 0.952785 | + | 0.303645i | \(0.0982037\pi\) | ||||
−0.952785 | + | 0.303645i | \(0.901796\pi\) | |||||||
\(192\) | −7.04186e8 | + | 2.39139e8i | −0.518183 | + | 0.175973i | ||||
\(193\) | 2.18420e9i | 1.57421i | 0.616817 | + | 0.787107i | \(0.288422\pi\) | ||||
−0.616817 | + | 0.787107i | \(0.711578\pi\) | |||||||
\(194\) | −9.45503e7 | − | 4.79137e7i | −0.0667507 | − | 0.0338262i | ||||
\(195\) | 2.03831e8 | + | 3.28253e8i | 0.140972 | + | 0.227023i | ||||
\(196\) | −3.36938e8 | − | 4.59485e8i | −0.228310 | − | 0.311348i | ||||
\(197\) | − | 1.02380e9i | − | 0.679751i | −0.940470 | − | 0.339875i | \(-0.889615\pi\) | ||
0.940470 | − | 0.339875i | \(-0.110385\pi\) | |||||||
\(198\) | −1.20219e9 | − | 6.09214e8i | −0.782190 | − | 0.396378i | ||||
\(199\) | − | 1.22571e9i | − | 0.781585i | −0.920479 | − | 0.390792i | \(-0.872201\pi\) | ||
0.920479 | − | 0.390792i | \(-0.127799\pi\) | |||||||
\(200\) | −4.66307e8 | + | 1.53054e9i | −0.291442 | + | 0.956589i | ||||
\(201\) | 7.82486e8 | 0.479394 | ||||||||
\(202\) | 3.77649e8 | − | 7.45231e8i | 0.226820 | − | 0.447595i | ||||
\(203\) | −2.14286e9 | −1.26186 | ||||||||
\(204\) | 8.80229e8 | − | 6.45468e8i | 0.508247 | − | 0.372695i | ||||
\(205\) | −1.36090e9 | + | 8.45063e8i | −0.770569 | + | 0.478491i | ||||
\(206\) | 8.65138e8 | − | 1.70722e9i | 0.480415 | − | 0.948025i | ||||
\(207\) | 1.55977e9 | 0.849533 | ||||||||
\(208\) | 8.71743e8 | + | 2.74778e8i | 0.465731 | + | 0.146801i | ||||
\(209\) | 2.81295e9 | 1.47427 | ||||||||
\(210\) | −1.08439e8 | − | 1.24831e9i | −0.0557584 | − | 0.641869i | ||||
\(211\) | − | 2.22607e8i | − | 0.112307i | −0.998422 | − | 0.0561537i | \(-0.982116\pi\) | ||
0.998422 | − | 0.0561537i | \(-0.0178837\pi\) | |||||||
\(212\) | 2.06863e9 | − | 1.51692e9i | 1.02409 | − | 0.750963i | ||||
\(213\) | − | 1.72849e8i | − | 0.0839747i | ||||||
\(214\) | 1.42774e9 | − | 2.81743e9i | 0.680762 | − | 1.34338i | ||||
\(215\) | 4.52665e8 | − | 2.81086e8i | 0.211848 | − | 0.131548i | ||||
\(216\) | −1.99865e9 | + | 3.30108e8i | −0.918166 | + | 0.151650i | ||||
\(217\) | 2.86683e9i | 1.29289i | ||||||||
\(218\) | −1.62078e9 | + | 3.19836e9i | −0.717626 | + | 1.41612i | ||||
\(219\) | − | 4.26834e8i | − | 0.185559i | ||||||
\(220\) | 1.09416e9 | − | 2.72056e9i | 0.467078 | − | 1.16136i | ||||
\(221\) | −1.34154e9 | −0.562386 | ||||||||
\(222\) | 8.56302e7 | + | 4.33934e7i | 0.0352545 | + | 0.0178654i | ||||
\(223\) | 2.66616e9 | 1.07812 | 0.539059 | − | 0.842268i | \(-0.318780\pi\) | ||||
0.539059 | + | 0.842268i | \(0.318780\pi\) | |||||||
\(224\) | −2.11887e9 | − | 2.07270e9i | −0.841611 | − | 0.823273i | ||||
\(225\) | −7.96115e8 | + | 1.60920e9i | −0.310632 | + | 0.627883i | ||||
\(226\) | 4.63149e9 | + | 2.34703e9i | 1.77536 | + | 0.899672i | ||||
\(227\) | −1.45410e9 | −0.547636 | −0.273818 | − | 0.961782i | \(-0.588287\pi\) | ||||
−0.273818 | + | 0.961782i | \(0.588287\pi\) | |||||||
\(228\) | 1.40455e9 | − | 1.02995e9i | 0.519752 | − | 0.381132i | ||||
\(229\) | 1.32962e7 | 0.00483488 | 0.00241744 | − | 0.999997i | \(-0.499231\pi\) | ||||
0.00241744 | + | 0.999997i | \(0.499231\pi\) | |||||||
\(230\) | 2.93699e8 | + | 3.38095e9i | 0.104952 | + | 1.20817i | ||||
\(231\) | 2.29642e9i | 0.806498i | ||||||||
\(232\) | −3.06353e9 | + | 5.05991e8i | −1.05748 | + | 0.174659i | ||||
\(233\) | − | 5.53873e9i | − | 1.87926i | −0.342196 | − | 0.939628i | \(-0.611171\pi\) | ||
0.342196 | − | 0.939628i | \(-0.388829\pi\) | |||||||
\(234\) | 9.14862e8 | + | 4.63610e8i | 0.305135 | + | 0.154628i | ||||
\(235\) | 6.67024e8 | − | 4.14194e8i | 0.218711 | − | 0.135810i | ||||
\(236\) | −4.87017e9 | + | 3.57128e9i | −1.56999 | + | 1.15127i | ||||
\(237\) | − | 1.04151e8i | − | 0.0330117i | ||||||
\(238\) | 3.88061e9 | + | 1.96652e9i | 1.20946 | + | 0.612900i | ||||
\(239\) | − | 7.06175e8i | − | 0.216432i | −0.994127 | − | 0.108216i | \(-0.965486\pi\) | ||
0.994127 | − | 0.108216i | \(-0.0345137\pi\) | |||||||
\(240\) | −4.49792e8 | − | 1.75904e9i | −0.135571 | − | 0.530189i | ||||
\(241\) | 2.23345e9 | 0.662075 | 0.331038 | − | 0.943618i | \(-0.392601\pi\) | ||||
0.331038 | + | 0.943618i | \(0.392601\pi\) | |||||||
\(242\) | −8.78928e8 | + | 1.73443e9i | −0.256267 | + | 0.505702i | ||||
\(243\) | −3.60975e9 | −1.03527 | ||||||||
\(244\) | 8.61569e8 | + | 1.17493e9i | 0.243070 | + | 0.331476i | ||||
\(245\) | 1.18177e9 | − | 7.33829e8i | 0.327996 | − | 0.203672i | ||||
\(246\) | 8.21707e8 | − | 1.62151e9i | 0.224376 | − | 0.442771i | ||||
\(247\) | −2.14064e9 | −0.575117 | ||||||||
\(248\) | 6.76941e8 | + | 4.09855e9i | 0.178955 | + | 1.08349i | ||||
\(249\) | 5.62643e8 | 0.146365 | ||||||||
\(250\) | −3.63798e9 | − | 1.42264e9i | −0.931322 | − | 0.364197i | ||||
\(251\) | − | 3.22973e9i | − | 0.813713i | −0.913492 | − | 0.406857i | \(-0.866625\pi\) | ||
0.913492 | − | 0.406857i | \(-0.133375\pi\) | |||||||
\(252\) | −1.96679e9 | − | 2.68213e9i | −0.487704 | − | 0.665085i | ||||
\(253\) | − | 6.21965e9i | − | 1.51804i | ||||||
\(254\) | −2.46690e9 | + | 4.86805e9i | −0.592676 | + | 1.16955i | ||||
\(255\) | 1.40579e9 | + | 2.26390e9i | 0.332475 | + | 0.535422i | ||||
\(256\) | −3.51865e9 | − | 2.46290e9i | −0.819249 | − | 0.573438i | ||||
\(257\) | − | 3.73492e9i | − | 0.856148i | −0.903744 | − | 0.428074i | \(-0.859192\pi\) | ||
0.903744 | − | 0.428074i | \(-0.140808\pi\) | |||||||
\(258\) | −2.73317e8 | + | 5.39349e8i | −0.0616862 | + | 0.121728i | ||||
\(259\) | 3.82612e8i | 0.0850275i | ||||||||
\(260\) | −8.32650e8 | + | 2.07034e9i | −0.182209 | + | 0.453052i | ||||
\(261\) | −3.48416e9 | −0.750819 | ||||||||
\(262\) | −3.88601e9 | − | 1.96925e9i | −0.824706 | − | 0.417923i | ||||
\(263\) | −5.87828e9 | −1.22865 | −0.614324 | − | 0.789054i | \(-0.710571\pi\) | ||||
−0.614324 | + | 0.789054i | \(0.710571\pi\) | |||||||
\(264\) | 5.42250e8 | + | 3.28306e9i | 0.111631 | + | 0.675871i | ||||
\(265\) | 3.30375e9 | + | 5.32041e9i | 0.669921 | + | 1.07885i | ||||
\(266\) | 6.19214e9 | + | 3.13789e9i | 1.23684 | + | 0.626774i | ||||
\(267\) | −2.84894e9 | −0.560580 | ||||||||
\(268\) | 2.67232e9 | + | 3.64426e9i | 0.518023 | + | 0.706431i | ||||
\(269\) | −2.61826e9 | −0.500039 | −0.250019 | − | 0.968241i | \(-0.580437\pi\) | ||||
−0.250019 | + | 0.968241i | \(0.580437\pi\) | |||||||
\(270\) | −4.28008e8 | − | 4.92706e9i | −0.0805372 | − | 0.927114i | ||||
\(271\) | − | 4.66174e9i | − | 0.864312i | −0.901799 | − | 0.432156i | \(-0.857753\pi\) | ||
0.901799 | − | 0.432156i | \(-0.142247\pi\) | |||||||
\(272\) | 6.01225e9 | + | 1.89509e9i | 1.09840 | + | 0.346223i | ||||
\(273\) | − | 1.74757e9i | − | 0.314618i | ||||||
\(274\) | −5.36045e9 | − | 2.71643e9i | −0.951041 | − | 0.481944i | ||||
\(275\) | 6.41672e9 | + | 3.17454e9i | 1.12197 | + | 0.555072i | ||||
\(276\) | −2.27730e9 | − | 3.10556e9i | −0.392449 | − | 0.535185i | ||||
\(277\) | 3.79455e9i | 0.644526i | 0.946650 | + | 0.322263i | \(0.104444\pi\) | ||||
−0.946650 | + | 0.322263i | \(0.895556\pi\) | |||||||
\(278\) | 7.23875e9 | + | 3.66826e9i | 1.21195 | + | 0.614160i | ||||
\(279\) | 4.66128e9i | 0.769288i | ||||||||
\(280\) | 5.44341e9 | − | 4.76823e9i | 0.885602 | − | 0.775755i | ||||
\(281\) | 5.95287e9 | 0.954776 | 0.477388 | − | 0.878693i | \(-0.341584\pi\) | ||||
0.477388 | + | 0.878693i | \(0.341584\pi\) | |||||||
\(282\) | −4.02746e8 | + | 7.94756e8i | −0.0636846 | + | 0.125672i | ||||
\(283\) | 6.09829e9 | 0.950742 | 0.475371 | − | 0.879785i | \(-0.342314\pi\) | ||||
0.475371 | + | 0.879785i | \(0.342314\pi\) | |||||||
\(284\) | 8.05006e8 | − | 5.90307e8i | 0.123744 | − | 0.0907413i | ||||
\(285\) | 2.24316e9 | + | 3.61242e9i | 0.340001 | + | 0.547543i | ||||
\(286\) | 1.84866e9 | − | 3.64804e9i | 0.276308 | − | 0.545250i | ||||
\(287\) | 7.24522e9 | 1.06788 | ||||||||
\(288\) | −3.44514e9 | − | 3.37007e9i | −0.500768 | − | 0.489857i | ||||
\(289\) | −2.27658e9 | −0.326357 | ||||||||
\(290\) | −6.56051e8 | − | 7.55221e9i | −0.0927568 | − | 1.06778i | ||||
\(291\) | 2.93660e8i | 0.0409517i | ||||||||
\(292\) | 1.98789e9 | − | 1.45771e9i | 0.273439 | − | 0.200512i | ||||
\(293\) | − | 3.58577e9i | − | 0.486533i | −0.969960 | − | 0.243266i | \(-0.921781\pi\) | ||
0.969960 | − | 0.243266i | \(-0.0782189\pi\) | |||||||
\(294\) | −7.13547e8 | + | 1.40807e9i | −0.0955066 | + | 0.188467i | ||||
\(295\) | −7.77801e9 | − | 1.25258e10i | −1.02702 | − | 1.65393i | ||||
\(296\) | 9.03456e7 | + | 5.46999e8i | 0.0117690 | + | 0.0712557i | ||||
\(297\) | 9.06391e9i | 1.16490i | ||||||||
\(298\) | −5.07644e8 | + | 1.00176e9i | −0.0643716 | + | 0.127027i | ||||
\(299\) | 4.73313e9i | 0.592194i | ||||||||
\(300\) | 4.36630e9 | − | 7.64359e8i | 0.539050 | − | 0.0943653i | ||||
\(301\) | −2.40992e9 | −0.293586 | ||||||||
\(302\) | −5.70755e9 | − | 2.89232e9i | −0.686155 | − | 0.347711i | ||||
\(303\) | −2.31458e9 | −0.274601 | ||||||||
\(304\) | 9.59351e9 | + | 3.02393e9i | 1.12327 | + | 0.354060i | ||||
\(305\) | −3.02185e9 | + | 1.87644e9i | −0.349199 | + | 0.216838i | ||||
\(306\) | 6.30963e9 | + | 3.19743e9i | 0.719644 | + | 0.364683i | ||||
\(307\) | 5.11579e9 | 0.575917 | 0.287958 | − | 0.957643i | \(-0.407024\pi\) | ||||
0.287958 | + | 0.957643i | \(0.407024\pi\) | |||||||
\(308\) | −1.06951e10 | + | 7.84265e9i | −1.18845 | + | 0.871485i | ||||
\(309\) | −5.30237e9 | −0.581616 | ||||||||
\(310\) | −1.01037e10 | + | 8.77699e8i | −1.09405 | + | 0.0950384i | ||||
\(311\) | − | 2.80934e9i | − | 0.300305i | −0.988663 | − | 0.150152i | \(-0.952024\pi\) | ||
0.988663 | − | 0.150152i | \(-0.0479764\pi\) | |||||||
\(312\) | −4.12650e8 | − | 2.49840e9i | −0.0435476 | − | 0.263659i | ||||
\(313\) | 4.69101e9i | 0.488753i | 0.969680 | + | 0.244376i | \(0.0785833\pi\) | ||||
−0.969680 | + | 0.244376i | \(0.921417\pi\) | |||||||
\(314\) | −9.96888e9 | − | 5.05177e9i | −1.02548 | − | 0.519667i | ||||
\(315\) | 6.89829e9 | − | 4.28354e9i | 0.700647 | − | 0.435072i | ||||
\(316\) | 4.85058e8 | − | 3.55691e8i | 0.0486458 | − | 0.0356718i | ||||
\(317\) | 2.44480e9i | 0.242107i | 0.992646 | + | 0.121053i | \(0.0386272\pi\) | ||||
−0.992646 | + | 0.121053i | \(0.961373\pi\) | |||||||
\(318\) | −6.33925e9 | − | 3.21244e9i | −0.619911 | − | 0.314142i | ||||
\(319\) | 1.38932e10i | 1.34165i | ||||||||
\(320\) | 6.65622e9 | − | 8.10221e9i | 0.634787 | − | 0.772687i | ||||
\(321\) | −8.75054e9 | −0.824166 | ||||||||
\(322\) | 6.93813e9 | − | 1.36913e10i | 0.645385 | − | 1.27357i | ||||
\(323\) | −1.47636e10 | −1.35638 | ||||||||
\(324\) | −1.24629e9 | − | 1.69958e9i | −0.113094 | − | 0.154227i | ||||
\(325\) | −4.88310e9 | − | 2.41581e9i | −0.437685 | − | 0.216536i | ||||
\(326\) | 2.50063e9 | − | 4.93461e9i | 0.221401 | − | 0.436900i | ||||
\(327\) | 9.93365e9 | 0.868796 | ||||||||
\(328\) | 1.03581e10 | − | 1.71080e9i | 0.894921 | − | 0.147810i | ||||
\(329\) | −3.55112e9 | −0.303097 | ||||||||
\(330\) | −8.09341e9 | + | 7.03064e8i | −0.682457 | + | 0.0592842i | ||||
\(331\) | 2.14898e10i | 1.79028i | 0.445786 | + | 0.895139i | \(0.352924\pi\) | ||||
−0.445786 | + | 0.895139i | \(0.647076\pi\) | |||||||
\(332\) | 1.92152e9 | + | 2.62039e9i | 0.158158 | + | 0.215682i | ||||
\(333\) | 6.22103e8i | 0.0505924i | ||||||||
\(334\) | −7.08801e9 | + | 1.39871e10i | −0.569559 | + | 1.12394i | ||||
\(335\) | −9.37283e9 | + | 5.82014e9i | −0.744204 | + | 0.462119i | ||||
\(336\) | −2.46866e9 | + | 7.83190e9i | −0.193689 | + | 0.614483i | ||||
\(337\) | − | 4.77773e9i | − | 0.370426i | −0.982698 | − | 0.185213i | \(-0.940702\pi\) | ||
0.982698 | − | 0.185213i | \(-0.0592975\pi\) | |||||||
\(338\) | 4.49289e9 | − | 8.86602e9i | 0.344238 | − | 0.679301i | ||||
\(339\) | − | 1.43847e10i | − | 1.08919i | ||||||
\(340\) | −5.74263e9 | + | 1.42787e10i | −0.429729 | + | 1.06850i | ||||
\(341\) | 1.85870e10 | 1.37465 | ||||||||
\(342\) | 1.00680e10 | + | 5.10201e9i | 0.735936 | + | 0.372938i | ||||
\(343\) | 1.00041e10 | 0.722773 | ||||||||
\(344\) | −3.44532e9 | + | 5.69050e8i | −0.246035 | + | 0.0406365i | ||||
\(345\) | 7.98734e9 | − | 4.95980e9i | 0.563801 | − | 0.350097i | ||||
\(346\) | −1.32771e10 | − | 6.72821e9i | −0.926399 | − | 0.469456i | ||||
\(347\) | −7.28826e9 | −0.502696 | −0.251348 | − | 0.967897i | \(-0.580874\pi\) | ||||
−0.251348 | + | 0.967897i | \(0.580874\pi\) | |||||||
\(348\) | 5.08692e9 | + | 6.93707e9i | 0.346847 | + | 0.472998i | ||||
\(349\) | 2.60410e9 | 0.175532 | 0.0877660 | − | 0.996141i | \(-0.472027\pi\) | ||||
0.0877660 | + | 0.996141i | \(0.472027\pi\) | |||||||
\(350\) | 1.05839e10 | + | 1.41461e10i | 0.705298 | + | 0.942678i | ||||
\(351\) | − | 6.89760e9i | − | 0.454433i | ||||||
\(352\) | −1.34383e10 | + | 1.37376e10i | −0.875333 | + | 0.894830i | ||||
\(353\) | − | 7.30914e9i | − | 0.470725i | −0.971908 | − | 0.235363i | \(-0.924372\pi\) | ||
0.971908 | − | 0.235363i | \(-0.0756278\pi\) | |||||||
\(354\) | 1.49245e10 | + | 7.56303e9i | 0.950355 | + | 0.481596i | ||||
\(355\) | 1.28565e9 | + | 2.07043e9i | 0.0809487 | + | 0.130361i | ||||
\(356\) | −9.72959e9 | − | 1.32683e10i | −0.605751 | − | 0.826067i | ||||
\(357\) | − | 1.20526e10i | − | 0.742009i | ||||||
\(358\) | −5.17218e9 | − | 2.62102e9i | −0.314878 | − | 0.159565i | ||||
\(359\) | − | 1.69103e10i | − | 1.01806i | −0.860749 | − | 0.509029i | \(-0.830004\pi\) | ||
0.860749 | − | 0.509029i | \(-0.169996\pi\) | |||||||
\(360\) | 8.85063e9 | − | 7.75283e9i | 0.526944 | − | 0.461583i | ||||
\(361\) | −6.57413e9 | −0.387088 | ||||||||
\(362\) | −1.09991e10 | + | 2.17049e10i | −0.640503 | + | 1.26393i | ||||
\(363\) | 5.38689e9 | 0.310250 | ||||||||
\(364\) | 8.13891e9 | − | 5.96822e9i | 0.463618 | − | 0.339969i | ||||
\(365\) | 3.17480e9 | + | 5.11274e9i | 0.178873 | + | 0.288060i | ||||
\(366\) | 1.82458e9 | − | 3.60052e9i | 0.101681 | − | 0.200651i | ||||
\(367\) | −3.03452e10 | −1.67273 | −0.836364 | − | 0.548174i | \(-0.815323\pi\) | ||||
−0.836364 | + | 0.548174i | \(0.815323\pi\) | |||||||
\(368\) | 6.68615e9 | − | 2.12120e10i | 0.364573 | − | 1.15662i | ||||
\(369\) | 1.17803e10 | 0.635404 | ||||||||
\(370\) | −1.34846e9 | + | 1.17139e8i | −0.0719502 | + | 0.00625022i | ||||
\(371\) | − | 2.83250e10i | − | 1.49511i | ||||||
\(372\) | 9.28077e9 | − | 6.80555e9i | 0.484632 | − | 0.355379i | ||||
\(373\) | 9.46195e9i | 0.488816i | 0.969673 | + | 0.244408i | \(0.0785936\pi\) | ||||
−0.969673 | + | 0.244408i | \(0.921406\pi\) | |||||||
\(374\) | 1.27499e10 | − | 2.51599e10i | 0.651657 | − | 1.28594i | ||||
\(375\) | 1.04018e9 | + | 1.07719e10i | 0.0525998 | + | 0.544713i | ||||
\(376\) | −5.07685e9 | + | 8.38522e8i | −0.254005 | + | 0.0419530i | ||||
\(377\) | − | 1.05727e10i | − | 0.523382i | ||||||
\(378\) | −1.01110e10 | + | 1.99524e10i | −0.495250 | + | 0.977300i | ||||
\(379\) | − | 1.10814e10i | − | 0.537078i | −0.963269 | − | 0.268539i | \(-0.913459\pi\) | ||
0.963269 | − | 0.268539i | \(-0.0865409\pi\) | |||||||
\(380\) | −9.16329e9 | + | 2.27840e10i | −0.439458 | + | 1.09269i | ||||
\(381\) | 1.51195e10 | 0.717525 | ||||||||
\(382\) | 1.15350e10 | + | 5.84540e9i | 0.541706 | + | 0.274511i | ||||
\(383\) | 3.17801e10 | 1.47693 | 0.738465 | − | 0.674292i | \(-0.235551\pi\) | ||||
0.738465 | + | 0.674292i | \(0.235551\pi\) | |||||||
\(384\) | −1.67997e9 | + | 1.17798e10i | −0.0772639 | + | 0.541765i | ||||
\(385\) | −1.70808e10 | − | 2.75072e10i | −0.777436 | − | 1.25200i | ||||
\(386\) | 3.11731e10 | + | 1.57971e10i | 1.40421 | + | 0.711586i | ||||
\(387\) | −3.91837e9 | −0.174687 | ||||||||
\(388\) | −1.36766e9 | + | 1.00290e9i | −0.0603462 | + | 0.0442516i | ||||
\(389\) | 2.63166e10 | 1.14929 | 0.574647 | − | 0.818402i | \(-0.305140\pi\) | ||||
0.574647 | + | 0.818402i | \(0.305140\pi\) | |||||||
\(390\) | 6.15905e9 | − | 5.35029e8i | 0.266229 | − | 0.0231270i | ||||
\(391\) | 3.26435e10i | 1.39666i | ||||||||
\(392\) | −8.99468e9 | + | 1.48561e9i | −0.380927 | + | 0.0629161i | ||||
\(393\) | 1.20694e10i | 0.505959i | ||||||||
\(394\) | −1.46117e10 | − | 7.40455e9i | −0.606341 | − | 0.307266i | ||||
\(395\) | 7.74672e8 | + | 1.24754e9i | 0.0318221 | + | 0.0512469i | ||||
\(396\) | −1.73895e10 | + | 1.27516e10i | −0.707142 | + | 0.518544i | ||||
\(397\) | − | 1.18226e9i | − | 0.0475937i | −0.999717 | − | 0.0237969i | \(-0.992425\pi\) | ||
0.999717 | − | 0.0237969i | \(-0.00757549\pi\) | |||||||
\(398\) | −1.74934e10 | − | 8.86487e9i | −0.697177 | − | 0.353297i | ||||
\(399\) | − | 1.92319e10i | − | 0.758806i | ||||||
\(400\) | 1.84715e10 | + | 1.77247e10i | 0.721542 | + | 0.692371i | ||||
\(401\) | −4.04552e10 | −1.56458 | −0.782289 | − | 0.622916i | \(-0.785948\pi\) | ||||
−0.782289 | + | 0.622916i | \(0.785948\pi\) | |||||||
\(402\) | 5.65927e9 | − | 1.11677e10i | 0.216699 | − | 0.427621i | ||||
\(403\) | −1.41447e10 | −0.536256 | ||||||||
\(404\) | −7.90467e9 | − | 1.07797e10i | −0.296728 | − | 0.404650i | ||||
\(405\) | 4.37122e9 | − | 2.71435e9i | 0.162474 | − | 0.100889i | ||||
\(406\) | −1.54981e10 | + | 3.05831e10i | −0.570393 | + | 1.12558i | ||||
\(407\) | 2.48066e9 | 0.0904042 | ||||||||
\(408\) | −2.84597e9 | − | 1.72310e10i | −0.102705 | − | 0.621827i | ||||
\(409\) | −2.26640e9 | −0.0809921 | −0.0404960 | − | 0.999180i | \(-0.512894\pi\) | ||||
−0.0404960 | + | 0.999180i | \(0.512894\pi\) | |||||||
\(410\) | 2.21817e9 | + | 2.55348e10i | 0.0784983 | + | 0.903642i | ||||
\(411\) | 1.66488e10i | 0.583466i | ||||||||
\(412\) | −1.81085e10 | − | 2.46946e10i | −0.628482 | − | 0.857065i | ||||
\(413\) | 6.66854e10i | 2.29208i | ||||||||
\(414\) | 1.12810e10 | − | 2.22612e10i | 0.384012 | − | 0.757787i | ||||
\(415\) | −6.73950e9 | + | 4.18494e9i | −0.227214 | + | 0.141090i | ||||
\(416\) | 1.02265e10 | − | 1.04543e10i | 0.341470 | − | 0.349076i | ||||
\(417\) | − | 2.24825e10i | − | 0.743534i | ||||||
\(418\) | 2.03444e10 | − | 4.01466e10i | 0.666408 | − | 1.31505i | ||||
\(419\) | 5.97866e10i | 1.93976i | 0.243587 | + | 0.969879i | \(0.421676\pi\) | ||||
−0.243587 | + | 0.969879i | \(0.578324\pi\) | |||||||
\(420\) | −1.86003e10 | − | 7.48068e9i | −0.597754 | − | 0.240405i | ||||
\(421\) | 1.37859e8 | 0.00438841 | 0.00219421 | − | 0.999998i | \(-0.499302\pi\) | ||||
0.00219421 | + | 0.999998i | \(0.499302\pi\) | |||||||
\(422\) | −3.17706e9 | − | 1.60999e9i | −0.100179 | − | 0.0507659i | ||||
\(423\) | −5.77390e9 | −0.180347 | ||||||||
\(424\) | −6.68834e9 | − | 4.04947e10i | −0.206945 | − | 1.25295i | ||||
\(425\) | −3.36778e10 | − | 1.66614e10i | −1.03226 | − | 0.510687i | ||||
\(426\) | −2.46691e9 | − | 1.25012e9i | −0.0749058 | − | 0.0379588i | ||||
\(427\) | 1.60878e10 | 0.483934 | ||||||||
\(428\) | −2.98845e10 | − | 4.07537e10i | −0.890577 | − | 1.21449i | ||||
\(429\) | −1.13303e10 | −0.334512 | ||||||||
\(430\) | −7.37812e8 | − | 8.49341e9i | −0.0215810 | − | 0.248432i | ||||
\(431\) | − | 1.87046e10i | − | 0.542051i | −0.962572 | − | 0.271026i | \(-0.912637\pi\) | ||
0.962572 | − | 0.271026i | \(-0.0873628\pi\) | |||||||
\(432\) | −9.74374e9 | + | 3.09123e10i | −0.279763 | + | 0.887558i | ||||
\(433\) | 1.46857e10i | 0.417776i | 0.977940 | + | 0.208888i | \(0.0669844\pi\) | ||||
−0.977940 | + | 0.208888i | \(0.933016\pi\) | |||||||
\(434\) | 4.09156e10 | + | 2.07341e10i | 1.15327 | + | 0.584423i | ||||
\(435\) | −1.78418e10 | + | 1.10790e10i | −0.498289 | + | 0.309416i | ||||
\(436\) | 3.39250e10 | + | 4.62638e10i | 0.938803 | + | 1.28025i | ||||
\(437\) | 5.20879e10i | 1.42827i | ||||||||
\(438\) | −6.09181e9 | − | 3.08705e9i | −0.165520 | − | 0.0838778i | ||||
\(439\) | − | 2.58143e10i | − | 0.695029i | −0.937675 | − | 0.347514i | \(-0.887026\pi\) | ||
0.937675 | − | 0.347514i | \(-0.112974\pi\) | |||||||
\(440\) | −3.09147e10 | − | 3.52922e10i | −0.824810 | − | 0.941603i | ||||
\(441\) | −1.02297e10 | −0.270462 | ||||||||
\(442\) | −9.70259e9 | + | 1.91465e10i | −0.254213 | + | 0.501651i | ||||
\(443\) | 3.46551e10 | 0.899813 | 0.449906 | − | 0.893076i | \(-0.351457\pi\) | ||||
0.449906 | + | 0.893076i | \(0.351457\pi\) | |||||||
\(444\) | 1.23863e9 | − | 9.08280e8i | 0.0318720 | − | 0.0233716i | ||||
\(445\) | 3.41254e10 | − | 2.11904e10i | 0.870236 | − | 0.540380i | ||||
\(446\) | 1.92828e10 | − | 3.80516e10i | 0.487338 | − | 0.961686i | ||||
\(447\) | 3.11131e9 | 0.0779316 | ||||||||
\(448\) | −4.49062e10 | + | 1.52500e10i | −1.11479 | + | 0.378579i | ||||
\(449\) | −3.50756e10 | −0.863018 | −0.431509 | − | 0.902109i | \(-0.642019\pi\) | ||||
−0.431509 | + | 0.902109i | \(0.642019\pi\) | |||||||
\(450\) | 1.72087e10 | + | 2.30006e10i | 0.419660 | + | 0.560905i | ||||
\(451\) | − | 4.69742e10i | − | 1.13541i | ||||||
\(452\) | 6.69938e10 | − | 4.91263e10i | 1.60502 | − | 1.17696i | ||||
\(453\) | 1.77268e10i | 0.420958i | ||||||||
\(454\) | −1.05167e10 | + | 2.07531e10i | −0.247546 | + | 0.488494i | ||||
\(455\) | 1.29984e10 | + | 2.09328e10i | 0.303281 | + | 0.488408i | ||||
\(456\) | −4.54120e9 | − | 2.74948e10i | −0.105030 | − | 0.635903i | ||||
\(457\) | − | 1.80923e10i | − | 0.414791i | −0.978257 | − | 0.207395i | \(-0.933501\pi\) | ||
0.978257 | − | 0.207395i | \(-0.0664987\pi\) | |||||||
\(458\) | 9.61638e7 | − | 1.89764e8i | 0.00218550 | − | 0.00431274i | ||||
\(459\) | − | 4.75714e10i | − | 1.07176i | ||||||
\(460\) | 5.03773e10 | + | 2.02608e10i | 1.12513 | + | 0.452506i | ||||
\(461\) | 2.22531e10 | 0.492704 | 0.246352 | − | 0.969180i | \(-0.420768\pi\) | ||||
0.246352 | + | 0.969180i | \(0.420768\pi\) | |||||||
\(462\) | 3.27747e10 | + | 1.66087e10i | 0.719400 | + | 0.364559i | ||||
\(463\) | 4.13307e10 | 0.899391 | 0.449695 | − | 0.893182i | \(-0.351533\pi\) | ||||
0.449695 | + | 0.893182i | \(0.351533\pi\) | |||||||
\(464\) | −1.49352e10 | + | 4.73825e10i | −0.322211 | + | 1.02222i | ||||
\(465\) | 1.48220e10 | + | 2.38697e10i | 0.317027 | + | 0.510545i | ||||
\(466\) | −7.90491e10 | − | 4.00584e10i | −1.67631 | − | 0.849474i | ||||
\(467\) | 3.60193e10 | 0.757300 | 0.378650 | − | 0.925540i | \(-0.376388\pi\) | ||||
0.378650 | + | 0.925540i | \(0.376388\pi\) | |||||||
\(468\) | 1.32333e10 | − | 9.70395e9i | 0.275858 | − | 0.202286i | ||||
\(469\) | 4.98994e10 | 1.03135 | ||||||||
\(470\) | −1.08720e9 | − | 1.25154e10i | −0.0222802 | − | 0.256481i | ||||
\(471\) | 3.09619e10i | 0.629136i | ||||||||
\(472\) | 1.57463e10 | + | 9.53365e10i | 0.317257 | + | 1.92084i | ||||
\(473\) | 1.56246e10i | 0.312151i | ||||||||
\(474\) | −1.48644e9 | − | 7.53261e8i | −0.0294466 | − | 0.0149222i | ||||
\(475\) | −5.37383e10 | − | 2.65859e10i | −1.05563 | − | 0.522248i | ||||
\(476\) | 5.61325e10 | − | 4.11617e10i | 1.09342 | − | 0.801799i | ||||
\(477\) | − | 4.60546e10i | − | 0.889610i | ||||||
\(478\) | −1.00786e10 | − | 5.10736e9i | −0.193058 | − | 0.0978328i | ||||
\(479\) | 5.31999e10i | 1.01058i | 0.862951 | + | 0.505288i | \(0.168614\pi\) | ||||
−0.862951 | + | 0.505288i | \(0.831386\pi\) | |||||||
\(480\) | −2.83582e10 | − | 6.30265e9i | −0.534212 | − | 0.118729i | ||||
\(481\) | −1.88777e9 | −0.0352670 | ||||||||
\(482\) | 1.61532e10 | − | 3.18759e10i | 0.299276 | − | 0.590574i | ||||
\(483\) | −4.25233e10 | −0.781337 | ||||||||
\(484\) | 1.83971e10 | + | 2.50883e10i | 0.335249 | + | 0.457182i | ||||
\(485\) | −2.18424e9 | − | 3.51754e9i | −0.0394761 | − | 0.0635729i | ||||
\(486\) | −2.61072e10 | + | 5.15186e10i | −0.467968 | + | 0.923462i | ||||
\(487\) | −2.16155e10 | −0.384281 | −0.192140 | − | 0.981367i | \(-0.561543\pi\) | ||||
−0.192140 | + | 0.981367i | \(0.561543\pi\) | |||||||
\(488\) | 2.29999e10 | − | 3.79880e9i | 0.405552 | − | 0.0669833i | ||||
\(489\) | −1.53262e10 | −0.268040 | ||||||||
\(490\) | −1.92620e9 | − | 2.21737e10i | −0.0334131 | − | 0.384639i | ||||
\(491\) | 6.94657e9i | 0.119521i | 0.998213 | + | 0.0597606i | \(0.0190337\pi\) | ||||
−0.998213 | + | 0.0597606i | \(0.980966\pi\) | |||||||
\(492\) | −1.71994e10 | − | 2.34549e10i | −0.293530 | − | 0.400289i | ||||
\(493\) | − | 7.29176e10i | − | 1.23437i | ||||||
\(494\) | −1.54820e10 | + | 3.05514e10i | −0.259968 | + | 0.513007i | ||||
\(495\) | −2.77723e10 | − | 4.47249e10i | −0.462584 | − | 0.744952i | ||||
\(496\) | 6.33907e10 | + | 1.99811e10i | 1.04737 | + | 0.330136i | ||||
\(497\) | − | 1.10226e10i | − | 0.180659i | ||||||
\(498\) | 4.06928e9 | − | 8.03009e9i | 0.0661607 | − | 0.130558i | ||||
\(499\) | 3.04616e10i | 0.491304i | 0.969358 | + | 0.245652i | \(0.0790021\pi\) | ||||
−0.969358 | + | 0.245652i | \(0.920998\pi\) | |||||||
\(500\) | −4.66155e10 | + | 4.16323e10i | −0.745848 | + | 0.666117i | ||||
\(501\) | 4.34419e10 | 0.689538 | ||||||||
\(502\) | −4.60949e10 | − | 2.33588e10i | −0.725836 | − | 0.367820i | ||||
\(503\) | −2.80844e10 | −0.438725 | −0.219363 | − | 0.975643i | \(-0.570398\pi\) | ||||
−0.219363 | + | 0.975643i | \(0.570398\pi\) | |||||||
\(504\) | −5.25042e10 | + | 8.67190e9i | −0.813714 | + | 0.134398i | ||||
\(505\) | 2.77247e10 | − | 1.72159e10i | 0.426286 | − | 0.264706i | ||||
\(506\) | −8.87673e10 | − | 4.49832e10i | −1.35410 | − | 0.686196i | ||||
\(507\) | −2.75366e10 | −0.416753 | ||||||||
\(508\) | 5.16355e10 | + | 7.04157e10i | 0.775342 | + | 1.05734i | ||||
\(509\) | −1.09246e11 | −1.62755 | −0.813773 | − | 0.581183i | \(-0.802590\pi\) | ||||
−0.813773 | + | 0.581183i | \(0.802590\pi\) | |||||||
\(510\) | 4.24778e10 | − | 3.68999e9i | 0.627887 | − | 0.0545437i | ||||
\(511\) | − | 2.72194e10i | − | 0.399204i | ||||||
\(512\) | −6.05990e10 | + | 3.24057e10i | −0.881831 | + | 0.471565i | ||||
\(513\) | − | 7.59079e10i | − | 1.09602i | ||||||
\(514\) | −5.33051e10 | − | 2.70126e10i | −0.763688 | − | 0.387002i | ||||
\(515\) | 6.35132e10 | − | 3.94391e10i | 0.902891 | − | 0.560657i | ||||
\(516\) | 5.72088e9 | + | 7.80160e9i | 0.0806982 | + | 0.110049i | ||||
\(517\) | 2.30236e10i | 0.322264i | ||||||||
\(518\) | 5.46067e9 | + | 2.76721e9i | 0.0758449 | + | 0.0384347i | ||||
\(519\) | 4.12367e10i | 0.568349i | ||||||||
\(520\) | 2.35259e10 | + | 2.68572e10i | 0.321761 | + | 0.367323i | ||||
\(521\) | 7.86075e10 | 1.06687 | 0.533437 | − | 0.845840i | \(-0.320900\pi\) | ||||
0.533437 | + | 0.845840i | \(0.320900\pi\) | |||||||
\(522\) | −2.51989e10 | + | 4.97261e10i | −0.339390 | + | 0.669734i | ||||
\(523\) | −7.29827e10 | −0.975468 | −0.487734 | − | 0.872992i | \(-0.662176\pi\) | ||||
−0.487734 | + | 0.872992i | \(0.662176\pi\) | |||||||
\(524\) | −5.62106e10 | + | 4.12190e10i | −0.745578 | + | 0.546729i | ||||
\(525\) | 2.17041e10 | − | 4.38706e10i | 0.285696 | − | 0.577480i | ||||
\(526\) | −4.25143e10 | + | 8.38953e10i | −0.555382 | + | 1.09596i | ||||
\(527\) | −9.75530e10 | −1.26473 | ||||||||
\(528\) | 5.07779e10 | + | 1.60055e10i | 0.653340 | + | 0.205936i | ||||
\(529\) | 3.68596e10 | 0.470682 | ||||||||
\(530\) | 9.98274e10 | − | 8.67188e9i | 1.26516 | − | 0.109903i | ||||
\(531\) | 1.08426e11i | 1.36382i | ||||||||
\(532\) | 8.95684e10 | − | 6.56801e10i | 1.11817 | − | 0.819950i | ||||
\(533\) | 3.57472e10i | 0.442928i | ||||||||
\(534\) | −2.06047e10 | + | 4.06602e10i | −0.253397 | + | 0.500040i | ||||
\(535\) | 1.04816e11 | − | 6.50866e10i | 1.27942 | − | 0.794468i | ||||
\(536\) | 7.13385e10 | − | 1.17827e10i | 0.864300 | − | 0.142753i | ||||
\(537\) | 1.60641e10i | 0.193178i | ||||||||
\(538\) | −1.89364e10 | + | 3.73680e10i | −0.226031 | + | 0.446037i | ||||
\(539\) | 4.07911e10i | 0.483293i | ||||||||
\(540\) | −7.34149e10 | − | 2.95261e10i | −0.863394 | − | 0.347241i | ||||
\(541\) | −6.69135e10 | −0.781133 | −0.390566 | − | 0.920575i | \(-0.627721\pi\) | ||||
−0.390566 | + | 0.920575i | \(0.627721\pi\) | |||||||
\(542\) | −6.65327e10 | − | 3.37157e10i | −0.770970 | − | 0.390692i | ||||
\(543\) | 6.74124e10 | 0.775426 | ||||||||
\(544\) | 7.05301e10 | − | 7.21011e10i | 0.805339 | − | 0.823277i | ||||
\(545\) | −1.18988e11 | + | 7.38865e10i | −1.34871 | + | 0.837489i | ||||
\(546\) | −2.49414e10 | − | 1.26391e10i | −0.280640 | − | 0.142216i | ||||
\(547\) | 1.11865e11 | 1.24953 | 0.624765 | − | 0.780813i | \(-0.285195\pi\) | ||||
0.624765 | + | 0.780813i | \(0.285195\pi\) | |||||||
\(548\) | −7.75382e10 | + | 5.68584e10i | −0.859792 | + | 0.630481i | ||||
\(549\) | 2.61578e10 | 0.287946 | ||||||||
\(550\) | 9.17157e10 | − | 6.86203e10i | 1.00229 | − | 0.749897i | ||||
\(551\) | − | 1.16352e11i | − | 1.26231i | ||||||
\(552\) | −6.07932e10 | + | 1.00410e10i | −0.654785 | + | 0.108148i | ||||
\(553\) | − | 6.64172e9i | − | 0.0710199i | ||||||
\(554\) | 5.41560e10 | + | 2.74438e10i | 0.574920 | + | 0.291343i | ||||
\(555\) | 1.97818e9 | + | 3.18568e9i | 0.0208494 | + | 0.0335761i | ||||
\(556\) | 1.04707e11 | − | 7.67815e10i | 1.09567 | − | 0.803447i | ||||
\(557\) | 2.01090e8i | 0.00208915i | 0.999999 | + | 0.00104458i | \(0.000332499\pi\) | ||||
−0.999999 | + | 0.00104458i | \(0.999668\pi\) | |||||||
\(558\) | 6.65262e10 | + | 3.37124e10i | 0.686208 | + | 0.347738i | ||||
\(559\) | − | 1.18903e10i | − | 0.121771i | ||||||
\(560\) | −2.86834e10 | − | 1.12175e11i | −0.291661 | − | 1.14062i | ||||
\(561\) | −7.81429e10 | −0.788930 | ||||||||
\(562\) | 4.30537e10 | − | 8.49598e10i | 0.431584 | − | 0.851664i | ||||
\(563\) | 7.36627e10 | 0.733185 | 0.366593 | − | 0.930382i | \(-0.380524\pi\) | ||||
0.366593 | + | 0.930382i | \(0.380524\pi\) | |||||||
\(564\) | 8.42999e9 | + | 1.14960e10i | 0.0833126 | + | 0.113614i | ||||
\(565\) | 1.06994e11 | + | 1.72304e11i | 1.04994 | + | 1.69084i | ||||
\(566\) | 4.41055e10 | − | 8.70353e10i | 0.429761 | − | 0.848066i | ||||
\(567\) | −2.32717e10 | −0.225162 | ||||||||
\(568\) | −2.60276e9 | − | 1.57585e10i | −0.0250058 | − | 0.151398i | ||||
\(569\) | 5.53549e10 | 0.528089 | 0.264045 | − | 0.964510i | \(-0.414943\pi\) | ||||
0.264045 | + | 0.964510i | \(0.414943\pi\) | |||||||
\(570\) | 6.77801e10 | − | 5.88798e9i | 0.642101 | − | 0.0557785i | ||||
\(571\) | − | 2.98777e10i | − | 0.281063i | −0.990076 | − | 0.140531i | \(-0.955119\pi\) | ||
0.990076 | − | 0.140531i | \(-0.0448811\pi\) | |||||||
\(572\) | −3.86948e10 | − | 5.27684e10i | −0.361467 | − | 0.492935i | ||||
\(573\) | − | 3.58260e10i | − | 0.332338i | ||||||
\(574\) | 5.24005e10 | − | 1.03404e11i | 0.482712 | − | 0.952557i | ||||
\(575\) | −5.87835e10 | + | 1.18820e11i | −0.537755 | + | 1.08697i | ||||
\(576\) | −7.30146e10 | + | 2.47955e10i | −0.663315 | + | 0.225259i | ||||
\(577\) | 1.20418e11i | 1.08640i | 0.839603 | + | 0.543200i | \(0.182788\pi\) | ||||
−0.839603 | + | 0.543200i | \(0.817212\pi\) | |||||||
\(578\) | −1.64652e10 | + | 3.24916e10i | −0.147522 | + | 0.291112i | ||||
\(579\) | − | 9.68192e10i | − | 0.861484i | ||||||
\(580\) | −1.12531e11 | − | 4.52576e10i | −0.994394 | − | 0.399926i | ||||
\(581\) | 3.58800e10 | 0.314882 | ||||||||
\(582\) | 4.19113e9 | + | 2.12387e9i | 0.0365291 | + | 0.0185113i | ||||
\(583\) | −1.83644e11 | −1.58966 | ||||||||
\(584\) | −6.42727e9 | − | 3.89141e10i | −0.0552555 | − | 0.334545i | ||||
\(585\) | 2.11346e10 | + | 3.40354e10i | 0.180455 | + | 0.290608i | ||||
\(586\) | −5.11764e10 | − | 2.59338e10i | −0.433989 | − | 0.219926i | ||||
\(587\) | −1.26290e10 | −0.106369 | −0.0531845 | − | 0.998585i | \(-0.516937\pi\) | ||||
−0.0531845 | + | 0.998585i | \(0.516937\pi\) | |||||||
\(588\) | 1.49355e10 | + | 2.03676e10i | 0.124942 | + | 0.170385i | ||||
\(589\) | −1.55661e11 | −1.29336 | ||||||||
\(590\) | −2.35023e11 | + | 2.04162e10i | −1.93956 | + | 0.168487i | ||||
\(591\) | 4.53820e10i | 0.371992i | ||||||||
\(592\) | 8.46023e9 | + | 2.66671e9i | 0.0688804 | + | 0.0217115i | ||||
\(593\) | − | 9.56312e10i | − | 0.773359i | −0.922214 | − | 0.386679i | \(-0.873622\pi\) | ||
0.922214 | − | 0.386679i | \(-0.126378\pi\) | |||||||
\(594\) | 1.29361e11 | + | 6.55541e10i | 1.03910 | + | 0.526567i | ||||
\(595\) | 8.96475e10 | + | 1.44370e11i | 0.715271 | + | 1.15188i | ||||
\(596\) | 1.06256e10 | + | 1.44903e10i | 0.0842113 | + | 0.114839i | ||||
\(597\) | 5.43322e10i | 0.427720i | ||||||||
\(598\) | 6.75516e10 | + | 3.42320e10i | 0.528239 | + | 0.267687i | ||||
\(599\) | − | 5.13440e9i | − | 0.0398825i | −0.999801 | − | 0.0199413i | \(-0.993652\pi\) | ||
0.999801 | − | 0.0199413i | \(-0.00634792\pi\) | |||||||
\(600\) | 2.06700e10 | − | 6.78444e10i | 0.159491 | − | 0.523490i | ||||
\(601\) | −9.84800e8 | −0.00754832 | −0.00377416 | − | 0.999993i | \(-0.501201\pi\) | ||||
−0.00377416 | + | 0.999993i | \(0.501201\pi\) | |||||||
\(602\) | −1.74295e10 | + | 3.43945e10i | −0.132709 | + | 0.261880i | ||||
\(603\) | 8.11333e10 | 0.613663 | ||||||||
\(604\) | −8.25589e10 | + | 6.05400e10i | −0.620320 | + | 0.454878i | ||||
\(605\) | −6.45256e10 | + | 4.00677e10i | −0.481627 | + | 0.299070i | ||||
\(606\) | −1.67400e10 | + | 3.30339e10i | −0.124127 | + | 0.244945i | ||||
\(607\) | 2.29100e11 | 1.68760 | 0.843802 | − | 0.536654i | \(-0.180312\pi\) | ||||
0.843802 | + | 0.536654i | \(0.180312\pi\) | |||||||
\(608\) | 1.12542e11 | − | 1.15049e11i | 0.823570 | − | 0.841915i | ||||
\(609\) | 9.49867e10 | 0.690547 | ||||||||
\(610\) | 4.92540e9 | + | 5.66993e10i | 0.0355731 | + | 0.409504i | ||||
\(611\) | − | 1.75209e10i | − | 0.125716i | ||||||
\(612\) | 9.12678e10 | − | 6.69263e10i | 0.650597 | − | 0.477080i | ||||
\(613\) | − | 1.82859e11i | − | 1.29502i | −0.762058 | − | 0.647508i | \(-0.775811\pi\) | ||
0.762058 | − | 0.647508i | \(-0.224189\pi\) | |||||||
\(614\) | 3.69996e10 | − | 7.30130e10i | 0.260330 | − | 0.513720i | ||||
\(615\) | 6.03248e10 | − | 3.74591e10i | 0.421692 | − | 0.261853i | ||||
\(616\) | 3.45795e10 | + | 2.09362e11i | 0.240157 | + | 1.45404i | ||||
\(617\) | 4.78934e10i | 0.330472i | 0.986254 | + | 0.165236i | \(0.0528386\pi\) | ||||
−0.986254 | + | 0.165236i | \(0.947161\pi\) | |||||||
\(618\) | −3.83490e10 | + | 7.56758e10i | −0.262906 | + | 0.518804i | ||||
\(619\) | − | 8.75787e10i | − | 0.596535i | −0.954482 | − | 0.298267i | \(-0.903591\pi\) | ||
0.954482 | − | 0.298267i | \(-0.0964087\pi\) | |||||||
\(620\) | −6.05480e10 | + | 1.50549e11i | −0.409763 | + | 1.01885i | ||||
\(621\) | −1.67838e11 | −1.12856 | ||||||||
\(622\) | −4.00951e10 | − | 2.03183e10i | −0.267873 | − | 0.135746i | ||||
\(623\) | −1.81678e11 | −1.20601 | ||||||||
\(624\) | −3.86418e10 | − | 1.21801e10i | −0.254870 | − | 0.0803365i | ||||
\(625\) | −9.25812e10 | − | 1.21292e11i | −0.606740 | − | 0.794900i | ||||
\(626\) | 6.69505e10 | + | 3.39274e10i | 0.435970 | + | 0.220929i | ||||
\(627\) | −1.24690e11 | −0.806789 | ||||||||
\(628\) | −1.44198e11 | + | 1.05740e11i | −0.927090 | + | 0.679831i | ||||
\(629\) | −1.30196e10 | −0.0831753 | ||||||||
\(630\) | −1.12437e10 | − | 1.29433e11i | −0.0713752 | − | 0.821644i | ||||
\(631\) | 1.79020e11i | 1.12923i | 0.825354 | + | 0.564616i | \(0.190976\pi\) | ||||
−0.825354 | + | 0.564616i | \(0.809024\pi\) | |||||||
\(632\) | −1.56830e9 | − | 9.49530e9i | −0.00983016 | − | 0.0595169i | ||||
\(633\) | 9.86749e9i | 0.0614599i | ||||||||
\(634\) | 3.48924e10 | + | 1.76819e10i | 0.215960 | + | 0.109439i | ||||
\(635\) | −1.81105e11 | + | 1.12459e11i | −1.11387 | + | 0.691669i | ||||
\(636\) | −9.16963e10 | + | 6.72405e10i | −0.560432 | + | 0.410963i | ||||
\(637\) | − | 3.10418e10i | − | 0.188534i | ||||||
\(638\) | 1.98285e11 | + | 1.00481e11i | 1.19676 | + | 0.606462i | ||||
\(639\) | − | 1.79221e10i | − | 0.107494i | ||||||
\(640\) | −6.74947e10 | − | 1.53597e11i | −0.402300 | − | 0.915508i | ||||
\(641\) | 9.29527e10 | 0.550592 | 0.275296 | − | 0.961360i | \(-0.411224\pi\) | ||||
0.275296 | + | 0.961360i | \(0.411224\pi\) | |||||||
\(642\) | −6.32877e10 | + | 1.24888e11i | −0.372545 | + | 0.735160i | ||||
\(643\) | −1.76187e11 | −1.03069 | −0.515347 | − | 0.856982i | \(-0.672337\pi\) | ||||
−0.515347 | + | 0.856982i | \(0.672337\pi\) | |||||||
\(644\) | −1.45224e11 | − | 1.98043e11i | −0.844296 | − | 1.15137i | ||||
\(645\) | −2.00653e10 | + | 1.24597e10i | −0.115933 | + | 0.0719895i | ||||
\(646\) | −1.06777e11 | + | 2.10707e11i | −0.613121 | + | 1.20990i | ||||
\(647\) | 2.37613e11 | 1.35598 | 0.677990 | − | 0.735071i | \(-0.262851\pi\) | ||||
0.677990 | + | 0.735071i | \(0.262851\pi\) | |||||||
\(648\) | −3.32702e10 | + | 5.49511e9i | −0.188693 | + | 0.0311657i | ||||
\(649\) | 4.32353e11 | 2.43702 | ||||||||
\(650\) | −6.97952e10 | + | 5.22198e10i | −0.390996 | + | 0.292537i | ||||
\(651\) | − | 1.27078e11i | − | 0.707533i | ||||||
\(652\) | −5.23415e10 | − | 7.13784e10i | −0.289638 | − | 0.394981i | ||||
\(653\) | − | 2.96902e11i | − | 1.63290i | −0.577415 | − | 0.816451i | \(-0.695938\pi\) | ||
0.577415 | − | 0.816451i | \(-0.304062\pi\) | |||||||
\(654\) | 7.18444e10 | − | 1.41774e11i | 0.392719 | − | 0.774970i | ||||
\(655\) | −8.97723e10 | − | 1.44571e11i | −0.487727 | − | 0.785443i | ||||
\(656\) | 5.04974e10 | − | 1.60205e11i | 0.272680 | − | 0.865087i | ||||
\(657\) | − | 4.42570e10i | − | 0.237531i | ||||||
\(658\) | −2.56832e10 | + | 5.06819e10i | −0.137008 | + | 0.270364i | ||||
\(659\) | − | 1.31179e11i | − | 0.695541i | −0.937580 | − | 0.347771i | \(-0.886939\pi\) | ||
0.937580 | − | 0.347771i | \(-0.113061\pi\) | |||||||
\(660\) | −4.85008e10 | + | 1.20595e11i | −0.255607 | + | 0.635553i | ||||
\(661\) | 5.54817e10 | 0.290632 | 0.145316 | − | 0.989385i | \(-0.453580\pi\) | ||||
0.145316 | + | 0.989385i | \(0.453580\pi\) | |||||||
\(662\) | 3.06704e11 | + | 1.55423e11i | 1.59694 | + | 0.809254i | ||||
\(663\) | 5.94665e10 | 0.307764 | ||||||||
\(664\) | 5.12956e10 | − | 8.47229e9i | 0.263881 | − | 0.0435841i | ||||
\(665\) | 1.43047e11 | + | 2.30365e11i | 0.731463 | + | 1.17796i | ||||
\(666\) | 8.87869e9 | + | 4.49931e9i | 0.0451286 | + | 0.0228691i | ||||
\(667\) | −2.57263e11 | −1.29979 | ||||||||
\(668\) | 1.48361e11 | + | 2.02321e11i | 0.745100 | + | 1.01610i | ||||
\(669\) | −1.18183e11 | −0.589997 | ||||||||
\(670\) | 1.52770e10 | + | 1.75863e11i | 0.0758124 | + | 0.872723i | ||||
\(671\) | − | 1.04305e11i | − | 0.514535i | ||||||
\(672\) | 9.39230e10 | + | 9.18765e10i | 0.460569 | + | 0.450534i | ||||
\(673\) | 5.91921e10i | 0.288538i | 0.989538 | + | 0.144269i | \(0.0460831\pi\) | ||||
−0.989538 | + | 0.144269i | \(0.953917\pi\) | |||||||
\(674\) | −6.81881e10 | − | 3.45546e10i | −0.330422 | − | 0.167443i | ||||
\(675\) | 8.56654e10 | − | 1.73156e11i | 0.412658 | − | 0.834110i | ||||
\(676\) | −9.40420e10 | − | 1.28246e11i | −0.450334 | − | 0.614124i | ||||
\(677\) | − | 2.84457e11i | − | 1.35413i | −0.735922 | − | 0.677066i | \(-0.763251\pi\) | ||
0.735922 | − | 0.677066i | \(-0.236749\pi\) | |||||||
\(678\) | −2.05300e11 | − | 1.04037e11i | −0.971562 | − | 0.492343i | ||||
\(679\) | 1.87268e10i | 0.0881017i | ||||||||
\(680\) | 1.62254e11 | + | 1.85229e11i | 0.758856 | + | 0.866310i | ||||
\(681\) | 6.44561e10 | 0.299692 | ||||||||
\(682\) | 1.34429e11 | − | 2.65275e11i | 0.621379 | − | 1.22619i | ||||
\(683\) | 3.01776e11 | 1.38676 | 0.693381 | − | 0.720571i | \(-0.256120\pi\) | ||||
0.693381 | + | 0.720571i | \(0.256120\pi\) | |||||||
\(684\) | 1.45632e11 | − | 1.06792e11i | 0.665325 | − | 0.487880i | ||||
\(685\) | −1.23834e11 | − | 1.99424e11i | −0.562441 | − | 0.905764i | ||||
\(686\) | 7.23540e10 | − | 1.42779e11i | 0.326713 | − | 0.644717i | ||||
\(687\) | −5.89381e8 | −0.00264588 | ||||||||
\(688\) | −1.67965e10 | + | 5.32875e10i | −0.0749662 | + | 0.237833i | ||||
\(689\) | 1.39753e11 | 0.620130 | ||||||||
\(690\) | −1.30188e10 | − | 1.49867e11i | −0.0574347 | − | 0.661166i | ||||
\(691\) | 1.07258e11i | 0.470455i | 0.971940 | + | 0.235227i | \(0.0755835\pi\) | ||||
−0.971940 | + | 0.235227i | \(0.924417\pi\) | |||||||
\(692\) | −1.92051e11 | + | 1.40830e11i | −0.837514 | + | 0.614145i | ||||
\(693\) | 2.38108e11i | 1.03238i | ||||||||
\(694\) | −5.27118e10 | + | 1.04019e11i | −0.227232 | + | 0.448407i | ||||
\(695\) | 1.67225e11 | + | 2.69302e11i | 0.716741 | + | 1.15425i | ||||
\(696\) | 1.35797e11 | − | 2.24291e10i | 0.578701 | − | 0.0955816i | ||||
\(697\) | 2.46542e11i | 1.04462i | ||||||||
\(698\) | 1.88340e10 | − | 3.71659e10i | 0.0793452 | − | 0.156575i | ||||
\(699\) | 2.45515e11i | 1.02842i | ||||||||
\(700\) | 2.78441e11 | − | 4.87434e10i | 1.15969 | − | 0.203013i | ||||
\(701\) | 1.01471e11 | 0.420213 | 0.210107 | − | 0.977678i | \(-0.432619\pi\) | ||||
0.210107 | + | 0.977678i | \(0.432619\pi\) | |||||||
\(702\) | −9.84431e10 | − | 4.98864e10i | −0.405356 | − | 0.205416i | ||||
\(703\) | −2.07748e10 | −0.0850582 | ||||||||
\(704\) | 9.88728e10 | + | 2.91148e11i | 0.402519 | + | 1.18529i | ||||
\(705\) | −2.95672e10 | + | 1.83600e10i | −0.119689 | + | 0.0743217i | ||||
\(706\) | −1.04317e11 | − | 5.28628e10i | −0.419889 | − | 0.212780i | ||||
\(707\) | −1.47602e11 | −0.590763 | ||||||||
\(708\) | 2.15880e11 | − | 1.58304e11i | 0.859172 | − | 0.630027i | ||||
\(709\) | −4.73489e11 | −1.87381 | −0.936904 | − | 0.349587i | \(-0.886322\pi\) | ||||
−0.936904 | + | 0.349587i | \(0.886322\pi\) | |||||||
\(710\) | 3.88477e10 | − | 3.37465e9i | 0.152874 | − | 0.0132799i | ||||
\(711\) | − | 1.07990e10i | − | 0.0422577i | ||||||
\(712\) | −2.59735e11 | + | 4.28993e10i | −1.01067 | + | 0.166928i | ||||
\(713\) | 3.44180e11i | 1.33176i | ||||||||
\(714\) | −1.72016e11 | − | 8.71698e10i | −0.661875 | − | 0.335408i | ||||
\(715\) | 1.35717e11 | − | 8.42748e10i | 0.519292 | − | 0.322458i | ||||
\(716\) | −7.48149e10 | + | 5.48614e10i | −0.284666 | + | 0.208744i | ||||
\(717\) | 3.13026e10i | 0.118442i | ||||||||
\(718\) | −2.41345e11 | − | 1.22302e11i | −0.908113 | − | 0.460190i | ||||
\(719\) | − | 3.14505e11i | − | 1.17683i | −0.808561 | − | 0.588413i | \(-0.799753\pi\) | ||
0.808561 | − | 0.588413i | \(-0.200247\pi\) | |||||||
\(720\) | −4.66374e10 | − | 1.82389e11i | −0.173542 | − | 0.678684i | ||||
\(721\) | −3.38134e11 | −1.25126 | ||||||||
\(722\) | −4.75469e10 | + | 9.38264e10i | −0.174974 | + | 0.345284i | ||||
\(723\) | −9.90021e10 | −0.362319 | ||||||||
\(724\) | 2.30224e11 | + | 3.13959e11i | 0.837909 | + | 1.14266i | ||||
\(725\) | 1.31308e11 | − | 2.65414e11i | 0.475269 | − | 0.960666i | ||||
\(726\) | 3.89603e10 | − | 7.68821e10i | 0.140241 | − | 0.276744i | ||||
\(727\) | −3.23780e10 | −0.115908 | −0.0579538 | − | 0.998319i | \(-0.518458\pi\) | ||||
−0.0579538 | + | 0.998319i | \(0.518458\pi\) | |||||||
\(728\) | −2.63149e10 | − | 1.59324e11i | −0.0936862 | − | 0.567225i | ||||
\(729\) | 1.05995e11 | 0.375297 | ||||||||
\(730\) | 9.59309e10 | − | 8.33340e9i | 0.337806 | − | 0.0293448i | ||||
\(731\) | − | 8.20050e10i | − | 0.287191i | ||||||
\(732\) | −3.81908e10 | − | 5.20810e10i | −0.133019 | − | 0.181399i | ||||
\(733\) | 9.11504e10i | 0.315749i | 0.987459 | + | 0.157875i | \(0.0504642\pi\) | ||||
−0.987459 | + | 0.157875i | \(0.949536\pi\) | |||||||
\(734\) | −2.19469e11 | + | 4.33088e11i | −0.756118 | + | 1.49208i | ||||
\(735\) | −5.23843e10 | + | 3.25285e10i | −0.179495 | + | 0.111459i | ||||
\(736\) | −2.54382e11 | − | 2.48839e11i | −0.866913 | − | 0.848024i | ||||
\(737\) | − | 3.23522e11i | − | 1.09656i | ||||||
\(738\) | 8.51999e10 | − | 1.68129e11i | 0.287219 | − | 0.566783i | ||||
\(739\) | 2.00083e11i | 0.670860i | 0.942065 | + | 0.335430i | \(0.108882\pi\) | ||||
−0.942065 | + | 0.335430i | \(0.891118\pi\) | |||||||
\(740\) | −8.08083e9 | + | 2.00925e10i | −0.0269482 | + | 0.0670051i | ||||
\(741\) | 9.48883e10 | 0.314731 | ||||||||
\(742\) | −4.04256e11 | − | 2.04858e11i | −1.33365 | − | 0.675831i | ||||
\(743\) | −5.50175e10 | −0.180528 | −0.0902642 | − | 0.995918i | \(-0.528771\pi\) | ||||
−0.0902642 | + | 0.995918i | \(0.528771\pi\) | |||||||
\(744\) | −3.00068e10 | − | 1.81677e11i | −0.0979326 | − | 0.592935i | ||||
\(745\) | −3.72682e10 | + | 2.31420e10i | −0.120980 | + | 0.0751234i | ||||
\(746\) | 1.35042e11 | + | 6.84329e10i | 0.436026 | + | 0.220958i | ||||
\(747\) | 5.83385e10 | 0.187358 | ||||||||
\(748\) | −2.66871e11 | − | 3.63934e11i | −0.852501 | − | 1.16256i | ||||
\(749\) | −5.58025e11 | −1.77307 | ||||||||
\(750\) | 1.61261e11 | + | 6.30616e10i | 0.509663 | + | 0.199306i | ||||
\(751\) | 5.26277e11i | 1.65445i | 0.561869 | + | 0.827226i | \(0.310083\pi\) | ||||
−0.561869 | + | 0.827226i | \(0.689917\pi\) | |||||||
\(752\) | −2.47505e10 | + | 7.85217e10i | −0.0773949 | + | 0.245538i | ||||
\(753\) | 1.43164e11i | 0.445302i | ||||||||
\(754\) | −1.50894e11 | − | 7.64660e10i | −0.466859 | − | 0.236583i | ||||
\(755\) | −1.31852e11 | − | 2.12337e11i | −0.405789 | − | 0.653488i | ||||
\(756\) | 2.11635e11 | + | 2.88608e11i | 0.647889 | + | 0.883531i | ||||
\(757\) | 4.33728e11i | 1.32079i | 0.750919 | + | 0.660395i | \(0.229611\pi\) | ||||
−0.750919 | + | 0.660395i | \(0.770389\pi\) | |||||||
\(758\) | −1.58154e11 | − | 8.01454e10i | −0.479076 | − | 0.242774i | ||||
\(759\) | 2.75699e11i | 0.830745i | ||||||||
\(760\) | 2.58902e11 | + | 2.95563e11i | 0.776035 | + | 0.885922i | ||||
\(761\) | 3.18871e11 | 0.950771 | 0.475385 | − | 0.879778i | \(-0.342309\pi\) | ||||
0.475385 | + | 0.879778i | \(0.342309\pi\) | |||||||
\(762\) | 1.09351e11 | − | 2.15786e11i | 0.324340 | − | 0.640035i | ||||
\(763\) | 6.33472e11 | 1.86909 | ||||||||
\(764\) | 1.66852e11 | − | 1.22352e11i | 0.489731 | − | 0.359117i | ||||
\(765\) | 1.45761e11 | + | 2.34736e11i | 0.425594 | + | 0.685384i | ||||
\(766\) | 2.29847e11 | − | 4.53567e11i | 0.667611 | − | 1.31743i | ||||
\(767\) | −3.29019e11 | −0.950691 | ||||||||
\(768\) | 1.55971e11 | + | 1.09173e11i | 0.448332 | + | 0.313812i | ||||
\(769\) | −1.36365e11 | −0.389941 | −0.194970 | − | 0.980809i | \(-0.562461\pi\) | ||||
−0.194970 | + | 0.980809i | \(0.562461\pi\) | |||||||
\(770\) | −5.16119e11 | + | 4.48347e10i | −1.46821 | + | 0.127541i | ||||
\(771\) | 1.65558e11i | 0.468525i | ||||||||
\(772\) | 4.50914e11 | − | 3.30653e11i | 1.26948 | − | 0.930901i | ||||
\(773\) | 2.93754e11i | 0.822746i | 0.911467 | + | 0.411373i | \(0.134951\pi\) | ||||
−0.911467 | + | 0.411373i | \(0.865049\pi\) | |||||||
\(774\) | −2.83393e10 | + | 5.59232e10i | −0.0789633 | + | 0.155822i | ||||
\(775\) | −3.55085e11 | − | 1.75671e11i | −0.984296 | − | 0.486959i | ||||
\(776\) | 4.42193e9 | + | 2.67727e10i | 0.0121945 | + | 0.0738320i | ||||
\(777\) | − | 1.69601e10i | − | 0.0465311i | ||||||
\(778\) | 1.90333e11 | − | 3.75592e11i | 0.519511 | − | 1.02517i | ||||
\(779\) | 3.93397e11i | 1.06827i | ||||||||
\(780\) | 3.69089e10 | − | 9.17720e10i | 0.0997132 | − | 0.247931i | ||||
\(781\) | −7.14650e10 | −0.192083 | ||||||||
\(782\) | 4.65890e11 | + | 2.36092e11i | 1.24582 | + | 0.631326i | ||||
\(783\) | 3.74910e11 | 0.997425 | ||||||||
\(784\) | −4.38505e10 | + | 1.39117e11i | −0.116068 | + | 0.368228i | ||||
\(785\) | −2.30295e11 | − | 3.70871e11i | −0.606465 | − | 0.976661i | ||||
\(786\) | 1.72255e11 | + | 8.72911e10i | 0.451318 | + | 0.228707i | ||||
\(787\) | 4.49406e11 | 1.17149 | 0.585747 | − | 0.810494i | \(-0.300801\pi\) | ||||
0.585747 | + | 0.810494i | \(0.300801\pi\) | |||||||
\(788\) | −2.11357e11 | + | 1.54987e11i | −0.548164 | + | 0.401966i | ||||
\(789\) | 2.60567e11 | 0.672374 | ||||||||
\(790\) | 2.34078e10 | − | 2.03341e9i | 0.0600969 | − | 0.00522054i | ||||
\(791\) | − | 9.17321e11i | − | 2.34323i | ||||||
\(792\) | 5.62240e10 | + | 3.40410e11i | 0.142896 | + | 0.865169i | ||||
\(793\) | 7.93757e10i | 0.200722i | ||||||||
\(794\) | −1.68732e10 | − | 8.55058e9i | −0.0424538 | − | 0.0215136i | ||||
\(795\) | −1.46445e11 | − | 2.35838e11i | −0.366612 | − | 0.590398i | ||||
\(796\) | −2.53040e11 | + | 1.85553e11i | −0.630285 | + | 0.462185i | ||||
\(797\) | − | 4.56927e11i | − | 1.13244i | −0.824256 | − | 0.566218i | \(-0.808406\pi\) | ||
0.824256 | − | 0.566218i | \(-0.191594\pi\) | |||||||
\(798\) | −2.74479e11 | − | 1.39093e11i | −0.676858 | − | 0.343001i | ||||
\(799\) | − | 1.20838e11i | − | 0.296495i | ||||||
\(800\) | 3.86562e11 | − | 1.35434e11i | 0.943754 | − | 0.330648i | ||||
\(801\) | −2.95396e11 | −0.717588 | ||||||||
\(802\) | −2.92589e11 | + | 5.77380e11i | −0.707231 | + | 1.39561i | ||||
\(803\) | −1.76476e11 | −0.424447 | ||||||||
\(804\) | −1.18456e11 | − | 1.61539e11i | −0.283487 | − | 0.386593i | ||||
\(805\) | 5.09356e11 | − | 3.16288e11i | 1.21294 | − | 0.753182i | ||||
\(806\) | −1.02300e11 | + | 2.01873e11i | −0.242402 | + | 0.478343i | ||||
\(807\) | 1.16060e11 | 0.273645 | ||||||||
\(808\) | −2.11018e11 | + | 3.48530e10i | −0.495078 | + | 0.0817700i | ||||
\(809\) | 7.90117e11 | 1.84458 | 0.922289 | − | 0.386500i | \(-0.126316\pi\) | ||||
0.922289 | + | 0.386500i | \(0.126316\pi\) | |||||||
\(810\) | −7.12478e9 | − | 8.20177e10i | −0.0165513 | − | 0.190532i | ||||
\(811\) | − | 1.98385e11i | − | 0.458590i | −0.973357 | − | 0.229295i | \(-0.926358\pi\) | ||
0.973357 | − | 0.229295i | \(-0.0736420\pi\) | |||||||
\(812\) | 3.24395e11 | + | 4.42380e11i | 0.746191 | + | 1.01759i | ||||
\(813\) | 2.06641e11i | 0.472993i | ||||||||
\(814\) | 1.79412e10 | − | 3.54041e10i | 0.0408651 | − | 0.0806410i | ||||
\(815\) | 1.83581e11 | − | 1.13996e11i | 0.416100 | − | 0.258381i | ||||
\(816\) | −2.66505e11 | − | 8.40039e10i | −0.601097 | − | 0.189469i | ||||
\(817\) | − | 1.30852e11i | − | 0.293692i | ||||||
\(818\) | −1.63915e10 | + | 3.23462e10i | −0.0366106 | + | 0.0722453i | ||||
\(819\) | − | 1.81199e11i | − | 0.402736i | ||||||
\(820\) | 3.80477e11 | + | 1.53020e11i | 0.841536 | + | 0.338449i | ||||
\(821\) | 4.89572e11 | 1.07757 | 0.538783 | − | 0.842445i | \(-0.318884\pi\) | ||||
0.538783 | + | 0.842445i | \(0.318884\pi\) | |||||||
\(822\) | 2.37613e11 | + | 1.20411e11i | 0.520455 | + | 0.263742i | ||||
\(823\) | −4.10873e11 | −0.895587 | −0.447793 | − | 0.894137i | \(-0.647790\pi\) | ||||
−0.447793 | + | 0.894137i | \(0.647790\pi\) | |||||||
\(824\) | −4.83412e11 | + | 7.98431e10i | −1.04860 | + | 0.173192i | ||||
\(825\) | −2.84434e11 | − | 1.40718e11i | −0.613996 | − | 0.303762i | ||||
\(826\) | 9.51739e11 | + | 4.82297e11i | 2.04455 | + | 1.03608i | ||||
\(827\) | −4.15118e11 | −0.887461 | −0.443731 | − | 0.896160i | \(-0.646345\pi\) | ||||
−0.443731 | + | 0.896160i | \(0.646345\pi\) | |||||||
\(828\) | −2.36125e11 | − | 3.22005e11i | −0.502366 | − | 0.685080i | ||||
\(829\) | −4.32301e11 | −0.915310 | −0.457655 | − | 0.889130i | \(-0.651310\pi\) | ||||
−0.457655 | + | 0.889130i | \(0.651310\pi\) | |||||||
\(830\) | 1.09849e10 | + | 1.26454e11i | 0.0231464 | + | 0.266453i | ||||
\(831\) | − | 1.68201e11i | − | 0.352715i | ||||||
\(832\) | −7.52418e10 | − | 2.21563e11i | −0.157024 | − | 0.462385i | ||||
\(833\) | − | 2.14090e11i | − | 0.444647i | ||||||
\(834\) | −3.20872e11 | − | 1.62603e11i | −0.663236 | − | 0.336097i | ||||
\(835\) | −5.20359e11 | + | 3.23121e11i | −1.07043 | + | 0.664690i | ||||
\(836\) | −4.25835e11 | − | 5.80714e11i | −0.871799 | − | 1.18888i | ||||
\(837\) | − | 5.01574e11i | − | 1.02196i | ||||||
\(838\) | 8.53278e11 | + | 4.32402e11i | 1.73027 | + | 0.876822i | ||||
\(839\) | 4.22053e11i | 0.851764i | 0.904779 | + | 0.425882i | \(0.140036\pi\) | ||||
−0.904779 | + | 0.425882i | \(0.859964\pi\) | |||||||
\(840\) | −2.41290e11 | + | 2.11361e11i | −0.484643 | + | 0.424530i | ||||
\(841\) | 7.44167e10 | 0.148760 | ||||||||
\(842\) | 9.97057e8 | − | 1.96754e9i | 0.00198368 | − | 0.00391448i | ||||
\(843\) | −2.63873e11 | −0.522498 | ||||||||
\(844\) | −4.59557e10 | + | 3.36991e10i | −0.0905668 | + | 0.0664122i | ||||
\(845\) | 3.29841e11 | − | 2.04817e11i | 0.646961 | − | 0.401735i | ||||
\(846\) | −4.17593e10 | + | 8.24055e10i | −0.0815215 | + | 0.160870i | ||||
\(847\) | 3.43524e11 | 0.667457 | ||||||||
\(848\) | −6.26315e11 | − | 1.97418e11i | −1.21118 | − | 0.381772i | ||||
\(849\) | −2.70319e11 | −0.520291 | ||||||||
\(850\) | −4.81364e11 | + | 3.60150e11i | −0.922143 | + | 0.689934i | ||||
\(851\) | 4.59348e10i | 0.0875838i | ||||||||
\(852\) | −3.56835e10 | + | 2.61666e10i | −0.0677188 | + | 0.0496579i | ||||
\(853\) | 4.91131e11i | 0.927687i | 0.885917 | + | 0.463843i | \(0.153530\pi\) | ||||
−0.885917 | + | 0.463843i | \(0.846470\pi\) | |||||||
\(854\) | 1.16354e11 | − | 2.29607e11i | 0.218751 | − | 0.431671i | ||||
\(855\) | 2.32585e11 | + | 3.74559e11i | 0.435229 | + | 0.700899i | ||||
\(856\) | −7.97778e11 | + | 1.31766e11i | −1.48589 | + | 0.245419i | ||||
\(857\) | − | 2.87979e10i | − | 0.0533873i | −0.999644 | − | 0.0266936i | \(-0.991502\pi\) | ||
0.999644 | − | 0.0266936i | \(-0.00849786\pi\) | |||||||
\(858\) | −8.19456e10 | + | 1.61707e11i | −0.151209 | + | 0.298387i | ||||
\(859\) | − | 3.71560e11i | − | 0.682428i | −0.939986 | − | 0.341214i | \(-0.889162\pi\) | ||
0.939986 | − | 0.341214i | \(-0.110838\pi\) | |||||||
\(860\) | −1.26555e11 | − | 5.08978e10i | −0.231358 | − | 0.0930477i | ||||
\(861\) | −3.21159e11 | −0.584397 | ||||||||
\(862\) | −2.66954e11 | − | 1.35280e11i | −0.483512 | − | 0.245022i | ||||
\(863\) | −8.63937e10 | −0.155754 | −0.0778769 | − | 0.996963i | \(-0.524814\pi\) | ||||
−0.0778769 | + | 0.996963i | \(0.524814\pi\) | |||||||
\(864\) | 3.70712e11 | + | 3.62634e11i | 0.665245 | + | 0.650750i | ||||
\(865\) | −3.06719e11 | − | 4.93945e11i | −0.547868 | − | 0.882295i | ||||
\(866\) | 2.09596e11 | + | 1.06213e11i | 0.372658 | + | 0.188846i | ||||
\(867\) | 1.00914e11 | 0.178598 | ||||||||
\(868\) | 5.91838e11 | − | 4.33992e11i | 1.04262 | − | 0.764545i | ||||
\(869\) | −4.30614e10 | −0.0755108 | ||||||||
\(870\) | 2.90808e10 | + | 3.34767e11i | 0.0507609 | + | 0.584340i | ||||
\(871\) | 2.46199e11i | 0.427773i | ||||||||
\(872\) | 9.05641e11 | − | 1.49581e11i | 1.56635 | − | 0.258708i | ||||
\(873\) | 3.04486e10i | 0.0524215i | ||||||||
\(874\) | 7.43403e11 | + | 3.76722e11i | 1.27403 | + | 0.645618i | ||||
\(875\) | 6.63327e10 | + | 6.86929e11i | 0.113161 | + | 1.17187i | ||||
\(876\) | −8.81172e10 | + | 6.46159e10i | −0.149639 | + | 0.109729i | ||||
\(877\) | 3.79999e11i | 0.642369i | 0.947017 | + | 0.321184i | \(0.104081\pi\) | ||||
−0.947017 | + | 0.321184i | \(0.895919\pi\) | |||||||
\(878\) | −3.68424e11 | − | 1.86700e11i | −0.619969 | − | 0.314172i | ||||
\(879\) | 1.58946e11i | 0.266254i | ||||||||
\(880\) | −7.27281e11 | + | 1.85968e11i | −1.21275 | + | 0.310104i | ||||
\(881\) | −9.51956e11 | −1.58020 | −0.790102 | − | 0.612975i | \(-0.789973\pi\) | ||||
−0.790102 | + | 0.612975i | \(0.789973\pi\) | |||||||
\(882\) | −7.39852e10 | + | 1.45998e11i | −0.122256 | + | 0.241253i | ||||
\(883\) | 5.76893e11 | 0.948971 | 0.474485 | − | 0.880263i | \(-0.342634\pi\) | ||||
0.474485 | + | 0.880263i | \(0.342634\pi\) | |||||||
\(884\) | 2.03088e11 | + | 2.76952e11i | 0.332563 | + | 0.453519i | ||||
\(885\) | 3.44776e11 | + | 5.55232e11i | 0.562036 | + | 0.905111i | ||||
\(886\) | 2.50640e11 | − | 4.94600e11i | 0.406739 | − | 0.802637i | ||||
\(887\) | −6.27370e11 | −1.01351 | −0.506756 | − | 0.862089i | \(-0.669156\pi\) | ||||
−0.506756 | + | 0.862089i | \(0.669156\pi\) | |||||||
\(888\) | −4.00475e9 | − | 2.42469e10i | −0.00644056 | − | 0.0389945i | ||||
\(889\) | 9.64175e11 | 1.54365 | ||||||||
\(890\) | −5.56219e10 | − | 6.40298e11i | −0.0886514 | − | 1.02052i | ||||
\(891\) | 1.50881e11i | 0.239400i | ||||||||
\(892\) | −4.03613e11 | − | 5.50410e11i | −0.637538 | − | 0.869415i | ||||
\(893\) | − | 1.92817e11i | − | 0.303207i | ||||||
\(894\) | 2.25023e10 | − | 4.44049e10i | 0.0352272 | − | 0.0695153i | ||||
\(895\) | −1.19485e11 | − | 1.92420e11i | −0.186217 | − | 0.299887i | ||||
\(896\) | −1.07132e11 | + | 7.51199e11i | −0.166222 | + | 1.16553i | ||||
\(897\) | − | 2.09806e11i | − | 0.324076i | ||||||
\(898\) | −2.53682e11 | + | 5.00602e11i | −0.390107 | + | 0.769816i | ||||
\(899\) | − | 7.68814e11i | − | 1.17702i | ||||||
\(900\) | 4.52727e11 | − | 7.92537e10i | 0.690027 | − | 0.120795i | ||||
\(901\) | 9.63847e11 | 1.46254 | ||||||||
\(902\) | −6.70419e11 | − | 3.39738e11i | −1.01279 | − | 0.513236i | ||||
\(903\) | 1.06824e11 | 0.160664 | ||||||||
\(904\) | −2.16606e11 | − | 1.31144e12i | −0.324337 | − | 1.96370i | ||||
\(905\) | −8.07484e11 | + | 5.01414e11i | −1.20376 | + | 0.747484i | ||||
\(906\) | 2.52999e11 | + | 1.28208e11i | 0.375496 | + | 0.190284i | ||||
\(907\) | 3.89597e11 | 0.575688 | 0.287844 | − | 0.957677i | \(-0.407062\pi\) | ||||
0.287844 | + | 0.957677i | \(0.407062\pi\) | |||||||
\(908\) | 2.20128e11 | + | 3.00190e11i | 0.323841 | + | 0.441624i | ||||
\(909\) | −2.39991e11 | −0.351511 | ||||||||
\(910\) | 3.92765e11 | − | 3.41190e10i | 0.572753 | − | 0.0497543i | ||||
\(911\) | 1.13330e12i | 1.64540i | 0.568475 | + | 0.822700i | \(0.307533\pi\) | ||||
−0.568475 | + | 0.822700i | \(0.692467\pi\) | |||||||
\(912\) | −4.25252e11 | − | 1.34042e11i | −0.614705 | − | 0.193758i | ||||
\(913\) | − | 2.32627e11i | − | 0.334793i | ||||||
\(914\) | −2.58215e11 | − | 1.30851e11i | −0.369995 | − | 0.187497i | ||||
\(915\) | 1.33950e11 | − | 8.31771e10i | 0.191098 | − | 0.118664i | ||||
\(916\) | −2.01283e9 | − | 2.74491e9i | −0.00285908 | − | 0.00389894i | ||||
\(917\) | 7.69670e11i | 1.08850i | ||||||||
\(918\) | −6.78943e11 | − | 3.44057e11i | −0.956010 | − | 0.484462i | ||||
\(919\) | − | 1.35023e12i | − | 1.89298i | −0.322739 | − | 0.946488i | \(-0.604604\pi\) | ||
0.322739 | − | 0.946488i | \(-0.395396\pi\) | |||||||
\(920\) | 6.53513e11 | − | 5.72453e11i | 0.912227 | − | 0.799077i | ||||
\(921\) | −2.26768e11 | −0.315169 | ||||||||
\(922\) | 1.60944e11 | − | 3.17597e11i | 0.222715 | − | 0.439494i | ||||
\(923\) | 5.43846e10 | 0.0749323 | ||||||||
\(924\) | 4.74081e11 | − | 3.47641e11i | 0.650376 | − | 0.476918i | ||||
\(925\) | −4.73903e10 | − | 2.34453e10i | −0.0647325 | − | 0.0320250i | ||||
\(926\) | 2.98921e11 | − | 5.89874e11i | 0.406549 | − | 0.802260i | ||||
\(927\) | −5.49784e11 | −0.744515 | ||||||||
\(928\) | 5.68228e11 | + | 5.55847e11i | 0.766180 | + | 0.749485i | ||||
\(929\) | −3.18334e11 | −0.427387 | −0.213693 | − | 0.976901i | \(-0.568549\pi\) | ||||
−0.213693 | + | 0.976901i | \(0.568549\pi\) | |||||||
\(930\) | 4.47869e11 | − | 3.89058e10i | 0.598713 | − | 0.0520095i | ||||
\(931\) | − | 3.41614e11i | − | 0.454713i | ||||||
\(932\) | −1.14343e12 | + | 8.38474e11i | −1.51547 | + | 1.11129i | ||||
\(933\) | 1.24530e11i | 0.164341i | ||||||||
\(934\) | 2.60507e11 | − | 5.14070e11i | 0.342320 | − | 0.675515i | ||||
\(935\) | 9.36018e11 | − | 5.81227e11i | 1.22472 | − | 0.760501i | ||||
\(936\) | −4.27863e10 | − | 2.59050e11i | −0.0557444 | − | 0.337505i | ||||
\(937\) | 1.14781e12i | 1.48906i | 0.667587 | + | 0.744532i | \(0.267327\pi\) | ||||
−0.667587 | + | 0.744532i | \(0.732673\pi\) | |||||||
\(938\) | 3.60894e11 | − | 7.12168e11i | 0.466196 | − | 0.919965i | ||||
\(939\) | − | 2.07939e11i | − | 0.267469i | ||||||
\(940\) | −1.86484e11 | − | 7.50004e10i | −0.238853 | − | 0.0960621i | ||||
\(941\) | −2.67245e11 | −0.340840 | −0.170420 | − | 0.985372i | \(-0.554512\pi\) | ||||
−0.170420 | + | 0.985372i | \(0.554512\pi\) | |||||||
\(942\) | 4.41891e11 | + | 2.23930e11i | 0.561192 | + | 0.284386i | ||||
\(943\) | 8.69831e11 | 1.09999 | ||||||||
\(944\) | 1.47453e12 | + | 4.64781e11i | 1.85681 | + | 0.585276i | ||||
\(945\) | −7.42285e11 | + | 4.60928e11i | −0.930773 | + | 0.577971i | ||||
\(946\) | 2.22996e11 | + | 1.13004e11i | 0.278440 | + | 0.141101i | ||||
\(947\) | 5.74285e11 | 0.714049 | 0.357024 | − | 0.934095i | \(-0.383791\pi\) | ||||
0.357024 | + | 0.934095i | \(0.383791\pi\) | |||||||
\(948\) | −2.15012e10 | + | 1.57667e10i | −0.0266213 | + | 0.0195213i | ||||
\(949\) | 1.34298e11 | 0.165578 | ||||||||
\(950\) | −7.68094e11 | + | 5.74677e11i | −0.943018 | + | 0.705552i | ||||
\(951\) | − | 1.08371e11i | − | 0.132492i | ||||||
\(952\) | −1.81489e11 | − | 1.09883e12i | −0.220954 | − | 1.33777i | ||||
\(953\) | 1.67118e11i | 0.202605i | 0.994856 | + | 0.101303i | \(0.0323010\pi\) | ||||
−0.994856 | + | 0.101303i | \(0.967699\pi\) | |||||||
\(954\) | −6.57294e11 | − | 3.33086e11i | −0.793536 | − | 0.402127i | ||||
\(955\) | 2.66474e11 | + | 4.29134e11i | 0.320362 | + | 0.515916i | ||||
\(956\) | −1.45785e11 | + | 1.06904e11i | −0.174535 | + | 0.127985i | ||||
\(957\) | − | 6.15844e11i | − | 0.734214i | ||||||
\(958\) | 7.59273e11 | + | 3.84764e11i | 0.901438 | + | 0.456807i | ||||
\(959\) | 1.06170e12i | 1.25524i | ||||||||
\(960\) | −2.95051e11 | + | 3.59147e11i | −0.347385 | + | 0.422851i | ||||
\(961\) | −1.75668e11 | −0.205968 | ||||||||
\(962\) | −1.36531e10 | + | 2.69424e10i | −0.0159416 | + | 0.0314583i | ||||
\(963\) | −9.07313e11 | −1.05500 | ||||||||
\(964\) | −3.38108e11 | − | 4.61080e11i | −0.391514 | − | 0.533911i | ||||
\(965\) | 7.20141e11 | + | 1.15973e12i | 0.830440 | + | 1.33735i | ||||
\(966\) | −3.07547e11 | + | 6.06895e11i | −0.353185 | + | 0.696956i | ||||
\(967\) | −8.24444e11 | −0.942877 | −0.471439 | − | 0.881899i | \(-0.656265\pi\) | ||||
−0.471439 | + | 0.881899i | \(0.656265\pi\) | |||||||
\(968\) | 4.91117e11 | − | 8.11158e10i | 0.559350 | − | 0.0923855i | ||||
\(969\) | 6.54426e11 | 0.742276 | ||||||||
\(970\) | −6.59999e10 | + | 5.73333e9i | −0.0745515 | + | 0.00647620i | ||||
\(971\) | 8.36736e11i | 0.941264i | 0.882330 | + | 0.470632i | \(0.155974\pi\) | ||||
−0.882330 | + | 0.470632i | \(0.844026\pi\) | |||||||
\(972\) | 5.46458e11 | + | 7.45209e11i | 0.612198 | + | 0.834859i | ||||
\(973\) | − | 1.43372e12i | − | 1.59960i | ||||||
\(974\) | −1.56332e11 | + | 3.08498e11i | −0.173705 | + | 0.342780i | ||||
\(975\) | 2.16453e11 | + | 1.07086e11i | 0.239522 | + | 0.118498i | ||||
\(976\) | 1.12128e11 | − | 3.55730e11i | 0.123571 | − | 0.392032i | ||||
\(977\) | − | 1.09033e12i | − | 1.19669i | −0.801239 | − | 0.598344i | \(-0.795826\pi\) | ||
0.801239 | − | 0.598344i | \(-0.204174\pi\) | |||||||
\(978\) | −1.10846e11 | + | 2.18737e11i | −0.121161 | + | 0.239093i | ||||
\(979\) | 1.17790e12i | 1.28227i | ||||||||
\(980\) | −3.30395e11 | − | 1.32879e11i | −0.358203 | − | 0.144062i | ||||
\(981\) | 1.02999e12 | 1.11213 | ||||||||
\(982\) | 9.91420e10 | + | 5.02406e10i | 0.106613 | + | 0.0540267i | ||||
\(983\) | −1.28853e11 | −0.138000 | −0.0690001 | − | 0.997617i | \(-0.521981\pi\) | ||||
−0.0690001 | + | 0.997617i | \(0.521981\pi\) | |||||||
\(984\) | −4.59143e11 | + | 7.58348e10i | −0.489743 | + | 0.0808888i | ||||
\(985\) | −3.37551e11 | − | 5.43598e11i | −0.358587 | − | 0.577474i | ||||
\(986\) | −1.04069e12 | − | 5.27371e11i | −1.10106 | − | 0.557967i | ||||
\(987\) | 1.57411e11 | 0.165869 | ||||||||
\(988\) | 3.24059e11 | + | 4.41921e11i | 0.340092 | + | 0.463786i | ||||
\(989\) | −2.89324e11 | −0.302413 | ||||||||
\(990\) | −8.39177e11 | + | 7.28983e10i | −0.873601 | + | 0.0758886i | ||||
\(991\) | − | 1.29472e12i | − | 1.34240i | −0.741276 | − | 0.671201i | \(-0.765779\pi\) | ||
0.741276 | − | 0.671201i | \(-0.234221\pi\) | |||||||
\(992\) | 7.43641e11 | − | 7.60205e11i | 0.767921 | − | 0.785026i | ||||
\(993\) | − | 9.52579e11i | − | 0.979725i | ||||||
\(994\) | −1.57316e11 | − | 7.97204e10i | −0.161149 | − | 0.0816628i | ||||
\(995\) | −4.04123e11 | − | 6.50805e11i | −0.412307 | − | 0.663986i | ||||
\(996\) | −8.51752e10 | − | 1.16154e11i | −0.0865518 | − | 0.118031i | ||||
\(997\) | 1.46628e12i | 1.48401i | 0.670393 | + | 0.742006i | \(0.266125\pi\) | ||||
−0.670393 | + | 0.742006i | \(0.733875\pi\) | |||||||
\(998\) | 4.34750e11 | + | 2.20311e11i | 0.438246 | + | 0.222083i | ||||
\(999\) | − | 6.69409e10i | − | 0.0672094i |
(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 | 20.9.d.c.19.15 | yes | 20 | |
4.3 | odd | 2 | inner | 20.9.d.c.19.5 | ✓ | 20 | |
5.2 | odd | 4 | 100.9.b.g.51.16 | 20 | |||
5.3 | odd | 4 | 100.9.b.g.51.5 | 20 | |||
5.4 | even | 2 | inner | 20.9.d.c.19.6 | yes | 20 | |
8.3 | odd | 2 | 320.9.h.g.319.8 | 20 | |||
8.5 | even | 2 | 320.9.h.g.319.14 | 20 | |||
20.3 | even | 4 | 100.9.b.g.51.6 | 20 | |||
20.7 | even | 4 | 100.9.b.g.51.15 | 20 | |||
20.19 | odd | 2 | inner | 20.9.d.c.19.16 | yes | 20 | |
40.19 | odd | 2 | 320.9.h.g.319.13 | 20 | |||
40.29 | even | 2 | 320.9.h.g.319.7 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.9.d.c.19.5 | ✓ | 20 | 4.3 | odd | 2 | inner | |
20.9.d.c.19.6 | yes | 20 | 5.4 | even | 2 | inner | |
20.9.d.c.19.15 | yes | 20 | 1.1 | even | 1 | trivial | |
20.9.d.c.19.16 | yes | 20 | 20.19 | odd | 2 | inner | |
100.9.b.g.51.5 | 20 | 5.3 | odd | 4 | |||
100.9.b.g.51.6 | 20 | 20.3 | even | 4 | |||
100.9.b.g.51.15 | 20 | 20.7 | even | 4 | |||
100.9.b.g.51.16 | 20 | 5.2 | odd | 4 | |||
320.9.h.g.319.7 | 20 | 40.29 | even | 2 | |||
320.9.h.g.319.8 | 20 | 8.3 | odd | 2 | |||
320.9.h.g.319.13 | 20 | 40.19 | odd | 2 | |||
320.9.h.g.319.14 | 20 | 8.5 | even | 2 |