Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,9,Mod(19,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.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: | \(19.5541732829\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 48.19 |
Dual form | 48.9.l.a.43.8 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.9758 | + | 10.6104i | −0.748488 | + | 0.663148i | ||||
\(3\) | 33.0681 | − | 33.0681i | 0.408248 | − | 0.408248i | ||||
\(4\) | 30.8403 | − | 254.136i | 0.120470 | − | 0.992717i | ||||
\(5\) | −825.217 | + | 825.217i | −1.32035 | + | 1.32035i | −0.406855 | + | 0.913493i | \(0.633374\pi\) |
−0.913493 | + | 0.406855i | \(0.866626\pi\) | |||||||
\(6\) | −45.1529 | + | 746.882i | −0.0348402 | + | 0.576298i | ||||
\(7\) | 1803.45 | 0.751125 | 0.375562 | − | 0.926797i | \(-0.377450\pi\) | ||||
0.375562 | + | 0.926797i | \(0.377450\pi\) | |||||||
\(8\) | 2327.13 | + | 3370.71i | 0.568148 | + | 0.822927i | ||||
\(9\) | − | 2187.00i | − | 0.333333i | ||||||
\(10\) | 1126.79 | − | 18638.5i | 0.112679 | − | 1.86385i | ||||
\(11\) | 11630.2 | + | 11630.2i | 0.794356 | + | 0.794356i | 0.982199 | − | 0.187843i | \(-0.0601497\pi\) |
−0.187843 | + | 0.982199i | \(0.560150\pi\) | |||||||
\(12\) | −7383.95 | − | 9423.61i | −0.356093 | − | 0.454457i | ||||
\(13\) | −13557.5 | − | 13557.5i | −0.474686 | − | 0.474686i | 0.428741 | − | 0.903427i | \(-0.358957\pi\) |
−0.903427 | + | 0.428741i | \(0.858957\pi\) | |||||||
\(14\) | −21597.8 | + | 19135.3i | −0.562208 | + | 0.498107i | ||||
\(15\) | 54576.7i | 1.07806i | ||||||||
\(16\) | −63633.7 | − | 15675.2i | −0.970974 | − | 0.239185i | ||||
\(17\) | −3290.02 | −0.0393915 | −0.0196958 | − | 0.999806i | \(-0.506270\pi\) | ||||
−0.0196958 | + | 0.999806i | \(0.506270\pi\) | |||||||
\(18\) | 23204.9 | + | 26191.1i | 0.221049 | + | 0.249496i | ||||
\(19\) | −79688.3 | + | 79688.3i | −0.611477 | + | 0.611477i | −0.943331 | − | 0.331854i | \(-0.892326\pi\) |
0.331854 | + | 0.943331i | \(0.392326\pi\) | |||||||
\(20\) | 184267. | + | 235167.i | 1.15167 | + | 1.46979i | ||||
\(21\) | 59636.7 | − | 59636.7i | 0.306645 | − | 0.306645i | ||||
\(22\) | −262681. | − | 15880.4i | −1.12134 | − | 0.0677908i | ||||
\(23\) | −329517. | −1.17752 | −0.588758 | − | 0.808309i | \(-0.700383\pi\) | ||||
−0.588758 | + | 0.808309i | \(0.700383\pi\) | |||||||
\(24\) | 188417. | + | 34509.0i | 0.567904 | + | 0.104013i | ||||
\(25\) | − | 971342.i | − | 2.48664i | ||||||
\(26\) | 306212. | + | 18512.1i | 0.670084 | + | 0.0405100i | ||||
\(27\) | −72320.0 | − | 72320.0i | −0.136083 | − | 0.136083i | ||||
\(28\) | 55619.0 | − | 458321.i | 0.0904880 | − | 0.745654i | ||||
\(29\) | −899140. | − | 899140.i | −1.27126 | − | 1.27126i | −0.945426 | − | 0.325837i | \(-0.894354\pi\) |
−0.325837 | − | 0.945426i | \(-0.605646\pi\) | |||||||
\(30\) | −579079. | − | 653601.i | −0.714913 | − | 0.806915i | ||||
\(31\) | − | 952463.i | − | 1.03134i | −0.856788 | − | 0.515669i | \(-0.827543\pi\) | ||
0.856788 | − | 0.515669i | \(-0.172457\pi\) | |||||||
\(32\) | 928386. | − | 487453.i | 0.885378 | − | 0.464872i | ||||
\(33\) | 769175. | 0.648589 | ||||||||
\(34\) | 39400.7 | − | 34908.3i | 0.0294841 | − | 0.0261224i | ||||
\(35\) | −1.48824e6 | + | 1.48824e6i | −0.991746 | + | 0.991746i | ||||
\(36\) | −555794. | − | 67447.8i | −0.330906 | − | 0.0401567i | ||||
\(37\) | −793702. | + | 793702.i | −0.423497 | + | 0.423497i | −0.886406 | − | 0.462909i | \(-0.846806\pi\) |
0.462909 | + | 0.886406i | \(0.346806\pi\) | |||||||
\(38\) | 108810. | − | 1.79985e6i | 0.0521839 | − | 0.863183i | ||||
\(39\) | −896642. | −0.387579 | ||||||||
\(40\) | −4.70196e6 | − | 861176.i | −1.83670 | − | 0.336397i | ||||
\(41\) | 167655.i | 0.0593308i | 0.999560 | + | 0.0296654i | \(0.00944418\pi\) | ||||
−0.999560 | + | 0.0296654i | \(0.990556\pi\) | |||||||
\(42\) | −81431.0 | + | 1.34697e6i | −0.0261693 | + | 0.432872i | ||||
\(43\) | 2.53580e6 | + | 2.53580e6i | 0.741723 | + | 0.741723i | 0.972909 | − | 0.231187i | \(-0.0742608\pi\) |
−0.231187 | + | 0.972909i | \(0.574261\pi\) | |||||||
\(44\) | 3.31432e6 | − | 2.59696e6i | 0.884266 | − | 0.692874i | ||||
\(45\) | 1.80475e6 | + | 1.80475e6i | 0.440116 | + | 0.440116i | ||||
\(46\) | 3.94624e6 | − | 3.49630e6i | 0.881358 | − | 0.780868i | ||||
\(47\) | − | 7.95383e6i | − | 1.62999i | −0.579468 | − | 0.814995i | \(-0.696740\pi\) | ||
0.579468 | − | 0.814995i | \(-0.303260\pi\) | |||||||
\(48\) | −2.62260e6 | + | 1.58590e6i | −0.494045 | + | 0.298752i | ||||
\(49\) | −2.51237e6 | −0.435811 | ||||||||
\(50\) | 1.03063e7 | + | 1.16326e7i | 1.64901 | + | 1.86122i | ||||
\(51\) | −108795. | + | 108795.i | −0.0160815 | + | 0.0160815i | ||||
\(52\) | −3.86356e6 | + | 3.02733e6i | −0.528414 | + | 0.414043i | ||||
\(53\) | −7.64145e6 | + | 7.64145e6i | −0.968439 | + | 0.968439i | −0.999517 | − | 0.0310784i | \(-0.990106\pi\) |
0.0310784 | + | 0.999517i | \(0.490106\pi\) | |||||||
\(54\) | 1.63343e6 | + | 98749.3i | 0.192099 | + | 0.0116134i | ||||
\(55\) | −1.91948e7 | −2.09765 | ||||||||
\(56\) | 4.19687e6 | + | 6.07890e6i | 0.426750 | + | 0.618121i | ||||
\(57\) | 5.27028e6i | 0.499269i | ||||||||
\(58\) | 2.03081e7 | + | 1.22773e6i | 1.79456 | + | 0.108490i | ||||
\(59\) | 3.94575e6 | + | 3.94575e6i | 0.325627 | + | 0.325627i | 0.850921 | − | 0.525294i | \(-0.176045\pi\) |
−0.525294 | + | 0.850921i | \(0.676045\pi\) | |||||||
\(60\) | 1.38699e7 | + | 1.68316e6i | 1.07021 | + | 0.129874i | ||||
\(61\) | −1.74423e7 | − | 1.74423e7i | −1.25975 | − | 1.25975i | −0.951213 | − | 0.308536i | \(-0.900161\pi\) |
−0.308536 | − | 0.951213i | \(-0.599839\pi\) | |||||||
\(62\) | 1.01060e7 | + | 1.14065e7i | 0.683930 | + | 0.771945i | ||||
\(63\) | − | 3.94415e6i | − | 0.250375i | ||||||
\(64\) | −5.94612e6 | + | 1.56882e7i | −0.354416 | + | 0.935088i | ||||
\(65\) | 2.23758e7 | 1.25350 | ||||||||
\(66\) | −9.21150e6 | + | 8.16123e6i | −0.485461 | + | 0.430110i | ||||
\(67\) | 8.13013e6 | − | 8.13013e6i | 0.403458 | − | 0.403458i | −0.475992 | − | 0.879450i | \(-0.657911\pi\) |
0.879450 | + | 0.475992i | \(0.157911\pi\) | |||||||
\(68\) | −101465. | + | 836111.i | −0.00474550 | + | 0.0391046i | ||||
\(69\) | −1.08965e7 | + | 1.08965e7i | −0.480719 | + | 0.480719i | ||||
\(70\) | 2.03212e6 | − | 3.36136e7i | 0.0846363 | − | 1.39998i | ||||
\(71\) | −1.48190e6 | −0.0583159 | −0.0291579 | − | 0.999575i | \(-0.509283\pi\) | ||||
−0.0291579 | + | 0.999575i | \(0.509283\pi\) | |||||||
\(72\) | 7.37174e6 | − | 5.08944e6i | 0.274309 | − | 0.189383i | ||||
\(73\) | − | 1.20830e7i | − | 0.425484i | −0.977108 | − | 0.212742i | \(-0.931761\pi\) | ||
0.977108 | − | 0.212742i | \(-0.0682395\pi\) | |||||||
\(74\) | 1.08376e6 | − | 1.79267e7i | 0.0361415 | − | 0.597824i | ||||
\(75\) | −3.21204e7 | − | 3.21204e7i | −1.01516 | − | 1.01516i | ||||
\(76\) | 1.77940e7 | + | 2.27092e7i | 0.533359 | + | 0.680688i | ||||
\(77\) | 2.09744e7 | + | 2.09744e7i | 0.596660 | + | 0.596660i | ||||
\(78\) | 1.07380e7 | − | 9.51370e6i | 0.290099 | − | 0.257022i | ||||
\(79\) | 4.86593e7i | 1.24927i | 0.780916 | + | 0.624636i | \(0.214753\pi\) | ||||
−0.780916 | + | 0.624636i | \(0.785247\pi\) | |||||||
\(80\) | 6.54471e7 | − | 3.95762e7i | 1.59783 | − | 0.966215i | ||||
\(81\) | −4.78297e6 | −0.111111 | ||||||||
\(82\) | −1.77888e6 | − | 2.00780e6i | −0.0393451 | − | 0.0444084i | ||||
\(83\) | 2.80334e6 | − | 2.80334e6i | 0.0590695 | − | 0.0590695i | −0.676955 | − | 0.736024i | \(-0.736701\pi\) |
0.736024 | + | 0.676955i | \(0.236701\pi\) | |||||||
\(84\) | −1.33166e7 | − | 1.69950e7i | −0.267471 | − | 0.341354i | ||||
\(85\) | 2.71498e6 | − | 2.71498e6i | 0.0520105 | − | 0.0520105i | ||||
\(86\) | −5.72741e7 | − | 3.46251e6i | −1.04704 | − | 0.0632991i | ||||
\(87\) | −5.94657e7 | −1.03798 | ||||||||
\(88\) | −1.21369e7 | + | 6.62668e7i | −0.202385 | + | 1.10501i | ||||
\(89\) | 1.06131e8i | 1.69154i | 0.533548 | + | 0.845770i | \(0.320858\pi\) | ||||
−0.533548 | + | 0.845770i | \(0.679142\pi\) | |||||||
\(90\) | −4.07624e7 | − | 2.46430e6i | −0.621283 | − | 0.0375598i | ||||
\(91\) | −2.44503e7 | − | 2.44503e7i | −0.356548 | − | 0.356548i | ||||
\(92\) | −1.01624e7 | + | 8.37421e7i | −0.141855 | + | 1.16894i | ||||
\(93\) | −3.14961e7 | − | 3.14961e7i | −0.421042 | − | 0.421042i | ||||
\(94\) | 8.43931e7 | + | 9.52536e7i | 1.08092 | + | 1.22003i | ||||
\(95\) | − | 1.31520e8i | − | 1.61472i | ||||||
\(96\) | 1.45808e7 | − | 4.68191e7i | 0.171671 | − | 0.551237i | ||||
\(97\) | −3.18957e7 | −0.360284 | −0.180142 | − | 0.983641i | \(-0.557656\pi\) | ||||
−0.180142 | + | 0.983641i | \(0.557656\pi\) | |||||||
\(98\) | 3.00876e7 | − | 2.66571e7i | 0.326200 | − | 0.289007i | ||||
\(99\) | 2.54352e7 | − | 2.54352e7i | 0.264785 | − | 0.264785i | ||||
\(100\) | −2.46852e8 | − | 2.99565e7i | −2.46852 | − | 0.299565i | ||||
\(101\) | 9.24308e7 | − | 9.24308e7i | 0.888242 | − | 0.888242i | −0.106112 | − | 0.994354i | \(-0.533840\pi\) |
0.994354 | + | 0.106112i | \(0.0338402\pi\) | |||||||
\(102\) | 148554. | − | 2.45726e6i | 0.00137241 | − | 0.0227013i | ||||
\(103\) | −3.68529e6 | −0.0327433 | −0.0163716 | − | 0.999866i | \(-0.505211\pi\) | ||||
−0.0163716 | + | 0.999866i | \(0.505211\pi\) | |||||||
\(104\) | 1.41483e7 | − | 7.72485e7i | 0.120940 | − | 0.660323i | ||||
\(105\) | 9.84265e7i | 0.809757i | ||||||||
\(106\) | 1.04340e7 | − | 1.72591e8i | 0.0826472 | − | 1.36708i | ||||
\(107\) | −7.83958e7 | − | 7.83958e7i | −0.598078 | − | 0.598078i | 0.341723 | − | 0.939801i | \(-0.388990\pi\) |
−0.939801 | + | 0.341723i | \(0.888990\pi\) | |||||||
\(108\) | −2.06094e7 | + | 1.61487e7i | −0.151486 | + | 0.118698i | ||||
\(109\) | 1.23092e8 | + | 1.23092e8i | 0.872012 | + | 0.872012i | 0.992691 | − | 0.120680i | \(-0.0385074\pi\) |
−0.120680 | + | 0.992691i | \(0.538507\pi\) | |||||||
\(110\) | 2.29874e8 | − | 2.03664e8i | 1.57007 | − | 1.39105i | ||||
\(111\) | 5.24924e7i | 0.345784i | ||||||||
\(112\) | −1.14760e8 | − | 2.82695e7i | −0.729323 | − | 0.179658i | ||||
\(113\) | −9.57848e7 | −0.587466 | −0.293733 | − | 0.955887i | \(-0.594898\pi\) | ||||
−0.293733 | + | 0.955887i | \(0.594898\pi\) | |||||||
\(114\) | −5.59196e7 | − | 6.31160e7i | −0.331089 | − | 0.373697i | ||||
\(115\) | 2.71923e8 | − | 2.71923e8i | 1.55473 | − | 1.55473i | ||||
\(116\) | −2.56233e8 | + | 2.00774e8i | −1.41515 | + | 1.10886i | ||||
\(117\) | −2.96503e7 | + | 2.96503e7i | −0.158229 | + | 0.158229i | ||||
\(118\) | −8.91193e7 | − | 5.38772e6i | −0.459668 | − | 0.0277893i | ||||
\(119\) | −5.93339e6 | −0.0295880 | ||||||||
\(120\) | −1.83962e8 | + | 1.27007e8i | −0.887164 | + | 0.612497i | ||||
\(121\) | 5.61624e7i | 0.262002i | ||||||||
\(122\) | 3.93954e8 | + | 2.38166e7i | 1.77831 | + | 0.107508i | ||||
\(123\) | 5.54402e6 | + | 5.54402e6i | 0.0242217 | + | 0.0242217i | ||||
\(124\) | −2.42055e8 | − | 2.93742e7i | −1.02383 | − | 0.124245i | ||||
\(125\) | 4.79218e8 | + | 4.79218e8i | 1.96288 | + | 1.96288i | ||||
\(126\) | 4.18488e7 | + | 4.72344e7i | 0.166036 | + | 0.187403i | ||||
\(127\) | − | 1.60633e8i | − | 0.617476i | −0.951147 | − | 0.308738i | \(-0.900093\pi\) | ||
0.951147 | − | 0.308738i | \(-0.0999066\pi\) | |||||||
\(128\) | −9.52475e7 | − | 2.50969e8i | −0.354825 | − | 0.934933i | ||||
\(129\) | 1.67708e8 | 0.605614 | ||||||||
\(130\) | −2.67968e8 | + | 2.37415e8i | −0.938231 | + | 0.831256i | ||||
\(131\) | −2.46559e8 | + | 2.46559e8i | −0.837212 | + | 0.837212i | −0.988491 | − | 0.151279i | \(-0.951661\pi\) |
0.151279 | + | 0.988491i | \(0.451661\pi\) | |||||||
\(132\) | 2.37216e7 | − | 1.95475e8i | 0.0781355 | − | 0.643865i | ||||
\(133\) | −1.43714e8 | + | 1.43714e8i | −0.459296 | + | 0.459296i | ||||
\(134\) | −1.11013e7 | + | 1.83629e8i | −0.0344314 | + | 0.569536i | ||||
\(135\) | 1.19359e8 | 0.359353 | ||||||||
\(136\) | −7.65631e6 | − | 1.10897e7i | −0.0223802 | − | 0.0324163i | ||||
\(137\) | − | 2.60945e8i | − | 0.740740i | −0.928884 | − | 0.370370i | \(-0.879231\pi\) | ||
0.928884 | − | 0.370370i | \(-0.120769\pi\) | |||||||
\(138\) | 1.48787e7 | − | 2.46111e8i | 0.0410249 | − | 0.678601i | ||||
\(139\) | −5.35842e7 | − | 5.35842e7i | −0.143542 | − | 0.143542i | 0.631684 | − | 0.775226i | \(-0.282364\pi\) |
−0.775226 | + | 0.631684i | \(0.782364\pi\) | |||||||
\(140\) | 3.32317e8 | + | 4.24112e8i | 0.865047 | + | 1.10400i | ||||
\(141\) | −2.63018e8 | − | 2.63018e8i | −0.665441 | − | 0.665441i | ||||
\(142\) | 1.77470e7 | − | 1.57235e7i | 0.0436488 | − | 0.0386720i | ||||
\(143\) | − | 3.15352e8i | − | 0.754139i | ||||||
\(144\) | −3.42818e7 | + | 1.39167e8i | −0.0797284 | + | 0.323658i | ||||
\(145\) | 1.48397e9 | 3.35702 | ||||||||
\(146\) | 1.28205e8 | + | 1.44704e8i | 0.282159 | + | 0.318470i | ||||
\(147\) | −8.30792e7 | + | 8.30792e7i | −0.177919 | + | 0.177919i | ||||
\(148\) | 1.77230e8 | + | 2.26186e8i | 0.369394 | + | 0.471432i | ||||
\(149\) | −1.95563e8 | + | 1.95563e8i | −0.396773 | + | 0.396773i | −0.877093 | − | 0.480320i | \(-0.840521\pi\) |
0.480320 | + | 0.877093i | \(0.340521\pi\) | |||||||
\(150\) | 7.25478e8 | + | 4.38589e7i | 1.43304 | + | 0.0866348i | ||||
\(151\) | −5.43444e8 | −1.04531 | −0.522657 | − | 0.852543i | \(-0.675059\pi\) | ||||
−0.522657 | + | 0.852543i | \(0.675059\pi\) | |||||||
\(152\) | −4.54051e8 | − | 8.31607e7i | −0.850610 | − | 0.155792i | ||||
\(153\) | 7.19527e6i | 0.0131305i | ||||||||
\(154\) | −4.73732e8 | − | 2.86395e7i | −0.842267 | − | 0.0509194i | ||||
\(155\) | 7.85988e8 | + | 7.85988e8i | 1.36172 | + | 1.36172i | ||||
\(156\) | −2.76527e7 | + | 2.27869e8i | −0.0466917 | + | 0.384757i | ||||
\(157\) | 2.24227e8 | + | 2.24227e8i | 0.369054 | + | 0.369054i | 0.867132 | − | 0.498078i | \(-0.165961\pi\) |
−0.498078 | + | 0.867132i | \(0.665961\pi\) | |||||||
\(158\) | −5.16292e8 | − | 5.82734e8i | −0.828452 | − | 0.935066i | ||||
\(159\) | 5.05376e8i | 0.790727i | ||||||||
\(160\) | −3.63865e8 | + | 1.16838e9i | −0.555214 | + | 1.78280i | ||||
\(161\) | −5.94268e8 | −0.884462 | ||||||||
\(162\) | 5.72800e7 | − | 5.07490e7i | 0.0831654 | − | 0.0736831i | ||||
\(163\) | 3.43604e8 | − | 3.43604e8i | 0.486751 | − | 0.486751i | −0.420528 | − | 0.907280i | \(-0.638155\pi\) |
0.907280 | + | 0.420528i | \(0.138155\pi\) | |||||||
\(164\) | 4.26070e7 | + | 5.17052e6i | 0.0588987 | + | 0.00714758i | ||||
\(165\) | −6.34736e8 | + | 6.34736e8i | −0.856362 | + | 0.856362i | ||||
\(166\) | −3.82782e6 | + | 6.33167e7i | −0.00504103 | + | 0.0833846i | ||||
\(167\) | −5.92850e8 | −0.762218 | −0.381109 | − | 0.924530i | \(-0.624458\pi\) | ||||
−0.381109 | + | 0.924530i | \(0.624458\pi\) | |||||||
\(168\) | 3.39800e8 | + | 6.22354e7i | 0.426567 | + | 0.0781268i | ||||
\(169\) | − | 4.48119e8i | − | 0.549347i | ||||||
\(170\) | −3.70717e6 | + | 6.13210e7i | −0.00443861 | + | 0.0734199i | ||||
\(171\) | 1.74278e8 | + | 1.74278e8i | 0.203826 | + | 0.203826i | ||||
\(172\) | 7.22643e8 | − | 5.66233e8i | 0.825676 | − | 0.646966i | ||||
\(173\) | 3.99093e8 | + | 3.99093e8i | 0.445543 | + | 0.445543i | 0.893870 | − | 0.448327i | \(-0.147980\pi\) |
−0.448327 | + | 0.893870i | \(0.647980\pi\) | |||||||
\(174\) | 7.12151e8 | − | 6.30953e8i | 0.776917 | − | 0.688335i | ||||
\(175\) | − | 1.75177e9i | − | 1.86777i | ||||||
\(176\) | −5.57765e8 | − | 9.22376e8i | −0.581301 | − | 0.961297i | ||||
\(177\) | 2.60957e8 | 0.265874 | ||||||||
\(178\) | −1.12609e9 | − | 1.27101e9i | −1.12174 | − | 1.26610i | ||||
\(179\) | −6.90668e8 | + | 6.90668e8i | −0.672756 | + | 0.672756i | −0.958351 | − | 0.285595i | \(-0.907809\pi\) |
0.285595 | + | 0.958351i | \(0.407809\pi\) | |||||||
\(180\) | 5.14310e8 | − | 4.02992e8i | 0.489931 | − | 0.383890i | ||||
\(181\) | −3.56186e8 | + | 3.56186e8i | −0.331866 | + | 0.331866i | −0.853295 | − | 0.521429i | \(-0.825399\pi\) |
0.521429 | + | 0.853295i | \(0.325399\pi\) | |||||||
\(182\) | 5.52239e8 | + | 3.33857e7i | 0.503317 | + | 0.0304281i | ||||
\(183\) | −1.15357e9 | −1.02858 | ||||||||
\(184\) | −7.66831e8 | − | 1.11071e9i | −0.669003 | − | 0.969010i | ||||
\(185\) | − | 1.30995e9i | − | 1.11833i | ||||||
\(186\) | 7.11377e8 | + | 4.30064e7i | 0.594358 | + | 0.0359320i | ||||
\(187\) | −3.82635e7 | − | 3.82635e7i | −0.0312909 | − | 0.0312909i | ||||
\(188\) | −2.02135e9 | − | 2.45299e8i | −1.61812 | − | 0.196365i | ||||
\(189\) | −1.30425e8 | − | 1.30425e8i | −0.102215 | − | 0.102215i | ||||
\(190\) | 1.39548e9 | + | 1.57506e9i | 1.07080 | + | 1.20860i | ||||
\(191\) | − | 2.45723e9i | − | 1.84634i | −0.384387 | − | 0.923172i | \(-0.625587\pi\) | ||
0.384387 | − | 0.923172i | \(-0.374413\pi\) | |||||||
\(192\) | 3.22151e8 | + | 7.15405e8i | 0.237058 | + | 0.526438i | ||||
\(193\) | −9.12428e8 | −0.657611 | −0.328806 | − | 0.944398i | \(-0.606646\pi\) | ||||
−0.328806 | + | 0.944398i | \(0.606646\pi\) | |||||||
\(194\) | 3.81977e8 | − | 3.38425e8i | 0.269668 | − | 0.238922i | ||||
\(195\) | 7.39924e8 | − | 7.39924e8i | 0.511739 | − | 0.511739i | ||||
\(196\) | −7.74822e7 | + | 6.38482e8i | −0.0525022 | + | 0.432637i | ||||
\(197\) | −1.82697e9 | + | 1.82697e9i | −1.21301 | + | 1.21301i | −0.242983 | + | 0.970031i | \(0.578126\pi\) |
−0.970031 | + | 0.242983i | \(0.921874\pi\) | |||||||
\(198\) | −3.47305e7 | + | 5.74483e8i | −0.0225969 | + | 0.373780i | ||||
\(199\) | 1.12834e9 | 0.719494 | 0.359747 | − | 0.933050i | \(-0.382863\pi\) | ||||
0.359747 | + | 0.933050i | \(0.382863\pi\) | |||||||
\(200\) | 3.27411e9 | − | 2.26044e9i | 2.04632 | − | 1.41278i | ||||
\(201\) | − | 5.37696e8i | − | 0.329422i | ||||||
\(202\) | −1.26210e8 | + | 2.08766e9i | −0.0758032 | + | 1.25387i | ||||
\(203\) | −1.62155e9 | − | 1.62155e9i | −0.954877 | − | 0.954877i | ||||
\(204\) | 2.42933e7 | + | 3.10039e7i | 0.0140271 | + | 0.0179017i | ||||
\(205\) | −1.38352e8 | − | 1.38352e8i | −0.0783373 | − | 0.0783373i | ||||
\(206\) | 4.41343e7 | − | 3.91022e7i | 0.0245080 | − | 0.0217136i | ||||
\(207\) | 7.20655e8i | 0.392506i | ||||||||
\(208\) | 6.50198e8 | + | 1.07523e9i | 0.347370 | + | 0.574445i | ||||
\(209\) | −1.85358e9 | −0.971461 | ||||||||
\(210\) | −1.04434e9 | − | 1.17874e9i | −0.536989 | − | 0.606094i | ||||
\(211\) | 1.91924e9 | − | 1.91924e9i | 0.968275 | − | 0.968275i | −0.0312369 | − | 0.999512i | \(-0.509945\pi\) |
0.999512 | + | 0.0312369i | \(0.00994464\pi\) | |||||||
\(212\) | 1.70630e9 | + | 2.17763e9i | 0.844718 | + | 1.07805i | ||||
\(213\) | −4.90038e7 | + | 4.90038e7i | −0.0238074 | + | 0.0238074i | ||||
\(214\) | 1.77066e9 | + | 1.07046e8i | 0.844269 | + | 0.0510404i | ||||
\(215\) | −4.18518e9 | −1.95866 | ||||||||
\(216\) | 7.54713e7 | − | 4.12068e8i | 0.0346710 | − | 0.189301i | ||||
\(217\) | − | 1.71772e9i | − | 0.774664i | ||||||
\(218\) | −2.78017e9 | − | 1.68075e8i | −1.23096 | − | 0.0744181i | ||||
\(219\) | −3.99562e8 | − | 3.99562e8i | −0.173703 | − | 0.173703i | ||||
\(220\) | −5.91974e8 | + | 4.87809e9i | −0.252704 | + | 2.08237i | ||||
\(221\) | 4.46044e7 | + | 4.46044e7i | 0.0186986 | + | 0.0186986i | ||||
\(222\) | −5.56964e8 | − | 6.28640e8i | −0.229306 | − | 0.258815i | ||||
\(223\) | 4.74336e9i | 1.91808i | 0.283269 | + | 0.959040i | \(0.408581\pi\) | ||||
−0.283269 | + | 0.959040i | \(0.591419\pi\) | |||||||
\(224\) | 1.67430e9 | − | 8.79098e8i | 0.665029 | − | 0.349177i | ||||
\(225\) | −2.12432e9 | −0.828878 | ||||||||
\(226\) | 1.14710e9 | − | 1.01631e9i | 0.439712 | − | 0.389577i | ||||
\(227\) | −2.13819e9 | + | 2.13819e9i | −0.805274 | + | 0.805274i | −0.983914 | − | 0.178641i | \(-0.942830\pi\) |
0.178641 | + | 0.983914i | \(0.442830\pi\) | |||||||
\(228\) | 1.33937e9 | + | 1.62537e8i | 0.495633 | + | 0.0601469i | ||||
\(229\) | 1.74254e9 | − | 1.74254e9i | 0.633637 | − | 0.633637i | −0.315342 | − | 0.948978i | \(-0.602119\pi\) |
0.948978 | + | 0.315342i | \(0.102119\pi\) | |||||||
\(230\) | −3.71298e8 | + | 6.14171e9i | −0.132682 | + | 2.19471i | ||||
\(231\) | 1.38717e9 | 0.487171 | ||||||||
\(232\) | 9.38320e8 | − | 5.12316e9i | 0.323891 | − | 1.76842i | ||||
\(233\) | − | 1.45411e9i | − | 0.493369i | −0.969096 | − | 0.246685i | \(-0.920659\pi\) | ||
0.969096 | − | 0.246685i | \(-0.0793412\pi\) | |||||||
\(234\) | 4.04860e7 | − | 6.69686e8i | 0.0135033 | − | 0.223361i | ||||
\(235\) | 6.56364e9 | + | 6.56364e9i | 2.15215 | + | 2.15215i | ||||
\(236\) | 1.12444e9 | − | 8.81066e8i | 0.362484 | − | 0.284028i | ||||
\(237\) | 1.60907e9 | + | 1.60907e9i | 0.510013 | + | 0.510013i | ||||
\(238\) | 7.10572e7 | − | 6.29554e7i | 0.0221462 | − | 0.0196212i | ||||
\(239\) | 5.22434e9i | 1.60118i | 0.599213 | + | 0.800590i | \(0.295480\pi\) | ||||
−0.599213 | + | 0.800590i | \(0.704520\pi\) | |||||||
\(240\) | 8.55504e8 | − | 3.47292e9i | 0.257856 | − | 1.04677i | ||||
\(241\) | 7.80385e8 | 0.231335 | 0.115667 | − | 0.993288i | \(-0.463099\pi\) | ||||
0.115667 | + | 0.993288i | \(0.463099\pi\) | |||||||
\(242\) | −5.95904e8 | − | 6.72591e8i | −0.173746 | − | 0.196105i | ||||
\(243\) | −1.58164e8 | + | 1.58164e8i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −4.97063e9 | + | 3.89478e9i | −1.40234 | + | 1.09881i | ||||
\(245\) | 2.07325e9 | − | 2.07325e9i | 0.575423 | − | 0.575423i | ||||
\(246\) | −1.25218e8 | − | 7.57009e6i | −0.0341922 | − | 0.00206710i | ||||
\(247\) | 2.16075e9 | 0.580519 | ||||||||
\(248\) | 3.21047e9 | − | 2.21651e9i | 0.848716 | − | 0.585952i | ||||
\(249\) | − | 1.85402e8i | − | 0.0482300i | ||||||
\(250\) | −1.08237e10 | − | 6.54348e8i | −2.77087 | − | 0.167513i | ||||
\(251\) | 2.95495e9 | + | 2.95495e9i | 0.744485 | + | 0.744485i | 0.973438 | − | 0.228953i | \(-0.0735302\pi\) |
−0.228953 | + | 0.973438i | \(0.573530\pi\) | |||||||
\(252\) | −1.00235e9 | − | 1.21639e8i | −0.248551 | − | 0.0301627i | ||||
\(253\) | −3.83234e9 | − | 3.83234e9i | −0.935367 | − | 0.935367i | ||||
\(254\) | 1.70438e9 | + | 1.92371e9i | 0.409478 | + | 0.462174i | ||||
\(255\) | − | 1.79559e8i | − | 0.0424664i | ||||||
\(256\) | 3.80354e9 | + | 1.99495e9i | 0.885581 | + | 0.464485i | ||||
\(257\) | 8.13423e9 | 1.86459 | 0.932296 | − | 0.361696i | \(-0.117802\pi\) | ||||
0.932296 | + | 0.361696i | \(0.117802\pi\) | |||||||
\(258\) | −2.00845e9 | + | 1.77945e9i | −0.453295 | + | 0.401612i | ||||
\(259\) | −1.43140e9 | + | 1.43140e9i | −0.318099 | + | 0.318099i | ||||
\(260\) | 6.90076e8 | − | 5.68648e9i | 0.151009 | − | 1.24437i | ||||
\(261\) | −1.96642e9 | + | 1.96642e9i | −0.423754 | + | 0.423754i | ||||
\(262\) | 3.36664e8 | − | 5.56882e9i | 0.0714483 | − | 1.18184i | ||||
\(263\) | −5.93980e9 | −1.24151 | −0.620753 | − | 0.784006i | \(-0.713173\pi\) | ||||
−0.620753 | + | 0.784006i | \(0.713173\pi\) | |||||||
\(264\) | 1.78997e9 | + | 2.59266e9i | 0.368494 | + | 0.533741i | ||||
\(265\) | − | 1.26117e10i | − | 2.55735i | ||||||
\(266\) | 1.96234e8 | − | 3.24595e9i | 0.0391966 | − | 0.648358i | ||||
\(267\) | 3.50955e9 | + | 3.50955e9i | 0.690568 | + | 0.690568i | ||||
\(268\) | −1.81542e9 | − | 2.31689e9i | −0.351915 | − | 0.449124i | ||||
\(269\) | 1.70084e9 | + | 1.70084e9i | 0.324829 | + | 0.324829i | 0.850616 | − | 0.525787i | \(-0.176229\pi\) |
−0.525787 | + | 0.850616i | \(0.676229\pi\) | |||||||
\(270\) | −1.42943e9 | + | 1.26645e9i | −0.268972 | + | 0.238304i | ||||
\(271\) | − | 2.99314e9i | − | 0.554945i | −0.960734 | − | 0.277473i | \(-0.910503\pi\) | ||
0.960734 | − | 0.277473i | \(-0.0894968\pi\) | |||||||
\(272\) | 2.09356e8 | + | 5.15719e7i | 0.0382481 | + | 0.00942187i | ||||
\(273\) | −1.61705e9 | −0.291120 | ||||||||
\(274\) | 2.76872e9 | + | 3.12502e9i | 0.491220 | + | 0.554436i | ||||
\(275\) | 1.12969e10 | − | 1.12969e10i | 1.97527 | − | 1.97527i | ||||
\(276\) | 2.43314e9 | + | 3.10524e9i | 0.419306 | + | 0.535130i | ||||
\(277\) | −2.76225e9 | + | 2.76225e9i | −0.469185 | + | 0.469185i | −0.901651 | − | 0.432465i | \(-0.857644\pi\) |
0.432465 | + | 0.901651i | \(0.357644\pi\) | |||||||
\(278\) | 1.21026e9 | + | 7.31666e7i | 0.202628 | + | 0.0122499i | ||||
\(279\) | −2.08304e9 | −0.343779 | ||||||||
\(280\) | −8.47975e9 | − | 1.55309e9i | −1.37959 | − | 0.252676i | ||||
\(281\) | 1.67333e9i | 0.268384i | 0.990955 | + | 0.134192i | \(0.0428439\pi\) | ||||
−0.990955 | + | 0.134192i | \(0.957156\pi\) | |||||||
\(282\) | 5.94058e9 | + | 3.59138e8i | 0.939360 | + | 0.0567892i | ||||
\(283\) | 2.97428e9 | + | 2.97428e9i | 0.463699 | + | 0.463699i | 0.899866 | − | 0.436167i | \(-0.143664\pi\) |
−0.436167 | + | 0.899866i | \(0.643664\pi\) | |||||||
\(284\) | −4.57024e7 | + | 3.76605e8i | −0.00702531 | + | 0.0578911i | ||||
\(285\) | −4.34913e9 | − | 4.34913e9i | −0.659209 | − | 0.659209i | ||||
\(286\) | 3.34600e9 | + | 3.77660e9i | 0.500105 | + | 0.564464i | ||||
\(287\) | 3.02357e8i | 0.0445648i | ||||||||
\(288\) | −1.06606e9 | − | 2.03038e9i | −0.154957 | − | 0.295126i | ||||
\(289\) | −6.96493e9 | −0.998448 | ||||||||
\(290\) | −1.77718e10 | + | 1.57455e10i | −2.51269 | + | 2.22620i | ||||
\(291\) | −1.05473e9 | + | 1.05473e9i | −0.147085 | + | 0.147085i | ||||
\(292\) | −3.07072e9 | − | 3.72644e8i | −0.422386 | − | 0.0512581i | ||||
\(293\) | −8.51995e9 | + | 8.51995e9i | −1.15602 | + | 1.15602i | −0.170700 | + | 0.985323i | \(0.554603\pi\) |
−0.985323 | + | 0.170700i | \(0.945397\pi\) | |||||||
\(294\) | 1.13441e8 | − | 1.87644e9i | 0.0151838 | − | 0.251157i | ||||
\(295\) | −6.51219e9 | −0.859883 | ||||||||
\(296\) | −4.52239e9 | − | 8.28287e8i | −0.589116 | − | 0.107898i | ||||
\(297\) | − | 1.68219e9i | − | 0.216196i | ||||||
\(298\) | 2.67032e8 | − | 4.41703e9i | 0.0338609 | − | 0.560100i | ||||
\(299\) | 4.46743e9 | + | 4.46743e9i | 0.558950 | + | 0.558950i | ||||
\(300\) | −9.15355e9 | + | 7.17234e9i | −1.13007 | + | 0.885474i | ||||
\(301\) | 4.57320e9 | + | 4.57320e9i | 0.557126 | + | 0.557126i | ||||
\(302\) | 6.50819e9 | − | 5.76614e9i | 0.782406 | − | 0.693198i | ||||
\(303\) | − | 6.11303e9i | − | 0.725247i | ||||||
\(304\) | 6.32000e9 | − | 3.82173e9i | 0.739985 | − | 0.447472i | ||||
\(305\) | 2.87873e10 | 3.32661 | ||||||||
\(306\) | −7.63445e7 | − | 8.61693e7i | −0.00870747 | − | 0.00982803i | ||||
\(307\) | −6.61431e8 | + | 6.61431e8i | −0.0744613 | + | 0.0744613i | −0.743357 | − | 0.668895i | \(-0.766767\pi\) |
0.668895 | + | 0.743357i | \(0.266767\pi\) | |||||||
\(308\) | 5.97720e9 | − | 4.68349e9i | 0.664194 | − | 0.520435i | ||||
\(309\) | −1.21865e8 | + | 1.21865e8i | −0.0133674 | + | 0.0133674i | ||||
\(310\) | −1.77525e10 | − | 1.07323e9i | −1.92226 | − | 0.116211i | ||||
\(311\) | −1.99464e8 | −0.0213218 | −0.0106609 | − | 0.999943i | \(-0.503394\pi\) | ||||
−0.0106609 | + | 0.999943i | \(0.503394\pi\) | |||||||
\(312\) | −2.08660e9 | − | 3.02232e9i | −0.220202 | − | 0.318949i | ||||
\(313\) | 7.94532e9i | 0.827817i | 0.910319 | + | 0.413908i | \(0.135837\pi\) | ||||
−0.910319 | + | 0.413908i | \(0.864163\pi\) | |||||||
\(314\) | −5.06444e9 | − | 3.06171e8i | −0.520970 | − | 0.0314953i | ||||
\(315\) | 3.25478e9 | + | 3.25478e9i | 0.330582 | + | 0.330582i | ||||
\(316\) | 1.23660e10 | + | 1.50067e9i | 1.24017 | + | 0.150500i | ||||
\(317\) | −1.86608e9 | − | 1.86608e9i | −0.184796 | − | 0.184796i | 0.608646 | − | 0.793442i | \(-0.291713\pi\) |
−0.793442 | + | 0.608646i | \(0.791713\pi\) | |||||||
\(318\) | −5.36223e9 | − | 6.05229e9i | −0.524369 | − | 0.591850i | ||||
\(319\) | − | 2.09143e10i | − | 2.01967i | ||||||
\(320\) | −8.03930e9 | − | 1.78530e10i | −0.766688 | − | 1.70259i | ||||
\(321\) | −5.18480e9 | −0.488329 | ||||||||
\(322\) | 7.11685e9 | − | 6.30540e9i | 0.662010 | − | 0.586529i | ||||
\(323\) | 2.62176e8 | − | 2.62176e8i | 0.0240870 | − | 0.0240870i | ||||
\(324\) | −1.47508e8 | + | 1.21552e9i | −0.0133856 | + | 0.110302i | ||||
\(325\) | −1.31690e10 | + | 1.31690e10i | −1.18037 | + | 1.18037i | ||||
\(326\) | −4.69174e8 | + | 7.76069e9i | −0.0415397 | + | 0.687116i | ||||
\(327\) | 8.14081e9 | 0.711995 | ||||||||
\(328\) | −5.65115e8 | + | 3.90155e8i | −0.0488249 | + | 0.0337087i | ||||
\(329\) | − | 1.43443e10i | − | 1.22433i | ||||||
\(330\) | 8.66701e8 | − | 1.43363e10i | 0.0730825 | − | 1.20887i | ||||
\(331\) | 6.61401e9 | + | 6.61401e9i | 0.551002 | + | 0.551002i | 0.926730 | − | 0.375728i | \(-0.122607\pi\) |
−0.375728 | + | 0.926730i | \(0.622607\pi\) | |||||||
\(332\) | −6.25972e8 | − | 7.98884e8i | −0.0515232 | − | 0.0657554i | ||||
\(333\) | 1.73583e9 | + | 1.73583e9i | 0.141166 | + | 0.141166i | ||||
\(334\) | 7.09986e9 | − | 6.29036e9i | 0.570511 | − | 0.505463i | ||||
\(335\) | 1.34182e10i | 1.06541i | ||||||||
\(336\) | −4.72973e9 | + | 2.86009e9i | −0.371090 | + | 0.224400i | ||||
\(337\) | −6.09954e9 | −0.472909 | −0.236454 | − | 0.971643i | \(-0.575985\pi\) | ||||
−0.236454 | + | 0.971643i | \(0.575985\pi\) | |||||||
\(338\) | 4.75471e9 | + | 5.36659e9i | 0.364298 | + | 0.411180i | ||||
\(339\) | −3.16742e9 | + | 3.16742e9i | −0.239832 | + | 0.239832i | ||||
\(340\) | −6.06242e8 | − | 7.73704e8i | −0.0453660 | − | 0.0578974i | ||||
\(341\) | 1.10773e10 | − | 1.10773e10i | 0.819249 | − | 0.819249i | ||||
\(342\) | −3.93628e9 | − | 2.37969e8i | −0.287728 | − | 0.0173946i | ||||
\(343\) | −1.49275e10 | −1.07847 | ||||||||
\(344\) | −2.64630e9 | + | 1.44486e10i | −0.188975 | + | 1.03179i | ||||
\(345\) | − | 1.79840e10i | − | 1.26943i | ||||||
\(346\) | −9.01399e9 | − | 5.44942e8i | −0.628945 | − | 0.0380230i | ||||
\(347\) | −1.54387e10 | − | 1.54387e10i | −1.06486 | − | 1.06486i | −0.997745 | − | 0.0671190i | \(-0.978619\pi\) |
−0.0671190 | − | 0.997745i | \(-0.521381\pi\) | |||||||
\(348\) | −1.83394e9 | + | 1.51124e10i | −0.125046 | + | 1.03042i | ||||
\(349\) | 6.91661e9 | + | 6.91661e9i | 0.466221 | + | 0.466221i | 0.900688 | − | 0.434467i | \(-0.143063\pi\) |
−0.434467 | + | 0.900688i | \(0.643063\pi\) | |||||||
\(350\) | 1.85869e10 | + | 2.09788e10i | 1.23861 | + | 1.39801i | ||||
\(351\) | 1.96096e9i | 0.129193i | ||||||||
\(352\) | 1.64664e10 | + | 5.12812e9i | 1.07258 | + | 0.334031i | ||||
\(353\) | −1.38261e10 | −0.890431 | −0.445215 | − | 0.895424i | \(-0.646873\pi\) | ||||
−0.445215 | + | 0.895424i | \(0.646873\pi\) | |||||||
\(354\) | −3.12517e9 | + | 2.76885e9i | −0.199003 | + | 0.176314i | ||||
\(355\) | 1.22289e9 | − | 1.22289e9i | 0.0769972 | − | 0.0769972i | ||||
\(356\) | 2.69717e10 | + | 3.27311e9i | 1.67922 | + | 0.203780i | ||||
\(357\) | −1.96206e8 | + | 1.96206e8i | −0.0120792 | + | 0.0120792i | ||||
\(358\) | 9.43074e8 | − | 1.55996e10i | 0.0574134 | − | 0.949687i | ||||
\(359\) | −1.61567e10 | −0.972689 | −0.486344 | − | 0.873767i | \(-0.661670\pi\) | ||||
−0.486344 | + | 0.873767i | \(0.661670\pi\) | |||||||
\(360\) | −1.88339e9 | + | 1.02832e10i | −0.112132 | + | 0.612234i | ||||
\(361\) | 4.28311e9i | 0.252191i | ||||||||
\(362\) | 4.86354e8 | − | 8.04488e9i | 0.0283216 | − | 0.468474i | ||||
\(363\) | 1.85719e9 | + | 1.85719e9i | 0.106962 | + | 0.106962i | ||||
\(364\) | −6.96774e9 | + | 5.45963e9i | −0.396905 | + | 0.310998i | ||||
\(365\) | 9.97111e9 | + | 9.97111e9i | 0.561787 | + | 0.561787i | ||||
\(366\) | 1.38149e10 | − | 1.22398e10i | 0.769881 | − | 0.682101i | ||||
\(367\) | 1.40337e10i | 0.773583i | 0.922167 | + | 0.386791i | \(0.126417\pi\) | ||||
−0.922167 | + | 0.386791i | \(0.873583\pi\) | |||||||
\(368\) | 2.09684e10 | + | 5.16526e9i | 1.14334 | + | 0.281645i | ||||
\(369\) | 3.66661e8 | 0.0197769 | ||||||||
\(370\) | 1.38991e10 | + | 1.56878e10i | 0.741616 | + | 0.837055i | ||||
\(371\) | −1.37810e10 | + | 1.37810e10i | −0.727418 | + | 0.727418i | ||||
\(372\) | −8.97564e9 | + | 7.03294e9i | −0.468699 | + | 0.367253i | ||||
\(373\) | 1.12218e10 | − | 1.12218e10i | 0.579732 | − | 0.579732i | −0.355097 | − | 0.934829i | \(-0.615552\pi\) |
0.934829 | + | 0.355097i | \(0.115552\pi\) | |||||||
\(374\) | 8.64225e8 | + | 5.22469e7i | 0.0441713 | + | 0.00267038i | ||||
\(375\) | 3.16936e10 | 1.60268 | ||||||||
\(376\) | 2.68100e10 | − | 1.85096e10i | 1.34136 | − | 0.926075i | ||||
\(377\) | 2.43802e10i | 1.20690i | ||||||||
\(378\) | 2.94581e9 | + | 1.78090e8i | 0.144291 | + | 0.00872311i | ||||
\(379\) | −2.52365e9 | − | 2.52365e9i | −0.122313 | − | 0.122313i | 0.643301 | − | 0.765614i | \(-0.277565\pi\) |
−0.765614 | + | 0.643301i | \(0.777565\pi\) | |||||||
\(380\) | −3.34240e10 | − | 4.05613e9i | −1.60296 | − | 0.194526i | ||||
\(381\) | −5.31183e9 | − | 5.31183e9i | −0.252083 | − | 0.252083i | ||||
\(382\) | 2.60721e10 | + | 2.94274e10i | 1.22440 | + | 1.38197i | ||||
\(383\) | − | 2.78057e10i | − | 1.29223i | −0.763241 | − | 0.646113i | \(-0.776393\pi\) | ||
0.763241 | − | 0.646113i | \(-0.223607\pi\) | |||||||
\(384\) | −1.14487e10 | − | 5.14942e9i | −0.526541 | − | 0.236828i | ||||
\(385\) | −3.46169e10 | −1.57560 | ||||||||
\(386\) | 1.09271e10 | − | 9.68119e9i | 0.492215 | − | 0.436094i | ||||
\(387\) | 5.54580e9 | − | 5.54580e9i | 0.247241 | − | 0.247241i | ||||
\(388\) | −9.83673e8 | + | 8.10583e9i | −0.0434034 | + | 0.357660i | ||||
\(389\) | −7.45437e9 | + | 7.45437e9i | −0.325546 | + | 0.325546i | −0.850890 | − | 0.525344i | \(-0.823937\pi\) |
0.525344 | + | 0.850890i | \(0.323937\pi\) | |||||||
\(390\) | −1.01033e9 | + | 1.67121e10i | −0.0436722 | + | 0.722390i | ||||
\(391\) | 1.08412e9 | 0.0463842 | ||||||||
\(392\) | −5.84661e9 | − | 8.46845e9i | −0.247605 | − | 0.358641i | ||||
\(393\) | 1.63065e10i | 0.683581i | ||||||||
\(394\) | 2.49463e9 | − | 4.12642e10i | 0.103519 | − | 1.71233i | ||||
\(395\) | −4.01545e10 | − | 4.01545e10i | −1.64947 | − | 1.64947i | ||||
\(396\) | −5.67955e9 | − | 7.24841e9i | −0.230958 | − | 0.294755i | ||||
\(397\) | 2.55289e10 | + | 2.55289e10i | 1.02771 | + | 1.02771i | 0.999605 | + | 0.0281055i | \(0.00894745\pi\) |
0.0281055 | + | 0.999605i | \(0.491053\pi\) | |||||||
\(398\) | −1.35128e10 | + | 1.19721e10i | −0.538533 | + | 0.477131i | ||||
\(399\) | 9.50470e9i | 0.375013i | ||||||||
\(400\) | −1.52260e10 | + | 6.18101e10i | −0.594766 | + | 2.41446i | ||||
\(401\) | 2.98614e10 | 1.15487 | 0.577435 | − | 0.816436i | \(-0.304054\pi\) | ||||
0.577435 | + | 0.816436i | \(0.304054\pi\) | |||||||
\(402\) | 5.70515e9 | + | 6.43935e9i | 0.218455 | + | 0.246569i | ||||
\(403\) | −1.29130e10 | + | 1.29130e10i | −0.489562 | + | 0.489562i | ||||
\(404\) | −2.06394e10 | − | 2.63406e10i | −0.774766 | − | 0.988779i | ||||
\(405\) | 3.94699e9 | − | 3.94699e9i | 0.146705 | − | 0.146705i | ||||
\(406\) | 3.66247e10 | + | 2.21415e9i | 1.34794 | + | 0.0814899i | ||||
\(407\) | −1.84618e10 | −0.672815 | ||||||||
\(408\) | −6.19895e8 | − | 1.13535e8i | −0.0223706 | − | 0.00409723i | ||||
\(409\) | 3.48890e10i | 1.24680i | 0.781904 | + | 0.623398i | \(0.214249\pi\) | ||||
−0.781904 | + | 0.623398i | \(0.785751\pi\) | |||||||
\(410\) | 3.12483e9 | + | 1.88912e8i | 0.110584 | + | 0.00668536i | ||||
\(411\) | −8.62894e9 | − | 8.62894e9i | −0.302406 | − | 0.302406i | ||||
\(412\) | −1.13655e8 | + | 9.36562e8i | −0.00394458 | + | 0.0325048i | ||||
\(413\) | 7.11596e9 | + | 7.11596e9i | 0.244587 | + | 0.244587i | ||||
\(414\) | −7.64641e9 | − | 8.63043e9i | −0.260289 | − | 0.293786i | ||||
\(415\) | 4.62673e9i | 0.155984i | ||||||||
\(416\) | −1.91952e10 | − | 5.97794e9i | −0.640944 | − | 0.199608i | ||||
\(417\) | −3.54386e9 | −0.117201 | ||||||||
\(418\) | 2.21981e10 | − | 1.96671e10i | 0.727127 | − | 0.644222i | ||||
\(419\) | 4.88021e9 | − | 4.88021e9i | 0.158337 | − | 0.158337i | −0.623492 | − | 0.781829i | \(-0.714287\pi\) |
0.781829 | + | 0.623492i | \(0.214287\pi\) | |||||||
\(420\) | 2.50137e10 | + | 3.03550e9i | 0.803860 | + | 0.0975514i | ||||
\(421\) | −5.30705e9 | + | 5.30705e9i | −0.168937 | + | 0.168937i | −0.786512 | − | 0.617575i | \(-0.788115\pi\) |
0.617575 | + | 0.786512i | \(0.288115\pi\) | |||||||
\(422\) | −2.62062e9 | + | 4.33482e10i | −0.0826332 | + | 1.36685i | ||||
\(423\) | −1.73950e10 | −0.543330 | ||||||||
\(424\) | −4.35397e10 | − | 7.97442e9i | −1.34717 | − | 0.246738i | ||||
\(425\) | 3.19573e9i | 0.0979524i | ||||||||
\(426\) | 6.69122e7 | − | 1.10681e9i | 0.00203174 | − | 0.0336073i | ||||
\(427\) | −3.14563e10 | − | 3.14563e10i | −0.946228 | − | 0.946228i | ||||
\(428\) | −2.23409e10 | + | 1.75054e10i | −0.665773 | + | 0.521672i | ||||
\(429\) | −1.04281e10 | − | 1.04281e10i | −0.307876 | − | 0.307876i | ||||
\(430\) | 5.01209e10 | − | 4.44062e10i | 1.46604 | − | 1.29888i | ||||
\(431\) | − | 2.89120e10i | − | 0.837854i | −0.908020 | − | 0.418927i | \(-0.862406\pi\) | ||
0.908020 | − | 0.418927i | \(-0.137594\pi\) | |||||||
\(432\) | 3.46836e9 | + | 5.73562e9i | 0.0995838 | + | 0.164682i | ||||
\(433\) | −2.93752e10 | −0.835658 | −0.417829 | − | 0.908526i | \(-0.637209\pi\) | ||||
−0.417829 | + | 0.908526i | \(0.637209\pi\) | |||||||
\(434\) | 1.82256e10 | + | 2.05711e10i | 0.513717 | + | 0.579827i | ||||
\(435\) | 4.90721e10 | − | 4.90721e10i | 1.37050 | − | 1.37050i | ||||
\(436\) | 3.50781e10 | − | 2.74858e10i | 0.970712 | − | 0.760610i | ||||
\(437\) | 2.62587e10 | − | 2.62587e10i | 0.720024 | − | 0.720024i | ||||
\(438\) | 9.02459e9 | + | 5.45583e8i | 0.245206 | + | 0.0148240i | ||||
\(439\) | 3.55785e10 | 0.957921 | 0.478960 | − | 0.877836i | \(-0.341014\pi\) | ||||
0.478960 | + | 0.877836i | \(0.341014\pi\) | |||||||
\(440\) | −4.46689e10 | − | 6.47001e10i | −1.19178 | − | 1.72621i | ||||
\(441\) | 5.49454e9i | 0.145270i | ||||||||
\(442\) | −1.00744e9 | − | 6.09052e7i | −0.0263956 | − | 0.00159575i | ||||
\(443\) | −2.13126e10 | − | 2.13126e10i | −0.553377 | − | 0.553377i | 0.374037 | − | 0.927414i | \(-0.377973\pi\) |
−0.927414 | + | 0.374037i | \(0.877973\pi\) | |||||||
\(444\) | 1.33402e10 | + | 1.61888e9i | 0.343266 | + | 0.0416566i | ||||
\(445\) | −8.75811e10 | − | 8.75811e10i | −2.23342 | − | 2.23342i | ||||
\(446\) | −5.03288e10 | − | 5.68056e10i | −1.27197 | − | 1.43566i | ||||
\(447\) | 1.29338e10i | 0.323964i | ||||||||
\(448\) | −1.07235e10 | + | 2.82928e10i | −0.266211 | + | 0.702368i | ||||
\(449\) | 2.67183e10 | 0.657390 | 0.328695 | − | 0.944436i | \(-0.393391\pi\) | ||||
0.328695 | + | 0.944436i | \(0.393391\pi\) | |||||||
\(450\) | 2.54405e10 | − | 2.25399e10i | 0.620406 | − | 0.549669i | ||||
\(451\) | −1.94985e9 | + | 1.94985e9i | −0.0471298 | + | 0.0471298i | ||||
\(452\) | −2.95403e9 | + | 2.43423e10i | −0.0707720 | + | 0.583188i | ||||
\(453\) | −1.79707e10 | + | 1.79707e10i | −0.426748 | + | 0.426748i | ||||
\(454\) | 2.91960e9 | − | 4.82936e10i | 0.0687226 | − | 1.13675i | ||||
\(455\) | 4.03536e10 | 0.941535 | ||||||||
\(456\) | −1.77646e10 | + | 1.22647e10i | −0.410862 | + | 0.283659i | ||||
\(457\) | − | 4.01962e10i | − | 0.921552i | −0.887516 | − | 0.460776i | \(-0.847571\pi\) | ||
0.887516 | − | 0.460776i | \(-0.152429\pi\) | |||||||
\(458\) | −2.37935e9 | + | 3.93573e10i | −0.0540750 | + | 0.894464i | ||||
\(459\) | 2.37934e8 | + | 2.37934e8i | 0.00536051 | + | 0.00536051i | ||||
\(460\) | −6.07192e10 | − | 7.74916e10i | −1.35611 | − | 1.73071i | ||||
\(461\) | 5.60038e10 | + | 5.60038e10i | 1.23998 | + | 1.23998i | 0.960009 | + | 0.279969i | \(0.0903241\pi\) |
0.279969 | + | 0.960009i | \(0.409676\pi\) | |||||||
\(462\) | −1.66125e10 | + | 1.47184e10i | −0.364642 | + | 0.323066i | ||||
\(463\) | 1.15330e10i | 0.250969i | 0.992096 | + | 0.125484i | \(0.0400485\pi\) | ||||
−0.992096 | + | 0.125484i | \(0.959952\pi\) | |||||||
\(464\) | 4.31214e10 | + | 7.13099e10i | 0.930296 | + | 1.53843i | ||||
\(465\) | 5.19823e10 | 1.11184 | ||||||||
\(466\) | 1.54286e10 | + | 1.74141e10i | 0.327177 | + | 0.369281i | ||||
\(467\) | −6.05628e10 | + | 6.05628e10i | −1.27332 | + | 1.27332i | −0.328988 | + | 0.944334i | \(0.606708\pi\) |
−0.944334 | + | 0.328988i | \(0.893292\pi\) | |||||||
\(468\) | 6.62076e9 | + | 8.44961e9i | 0.138014 | + | 0.176138i | ||||
\(469\) | 1.46623e10 | − | 1.46623e10i | 0.303047 | − | 0.303047i | ||||
\(470\) | −1.48248e11 | − | 8.96233e9i | −3.03806 | − | 0.183666i | ||||
\(471\) | 1.48296e10 | 0.301331 | ||||||||
\(472\) | −4.11768e9 | + | 2.24822e10i | −0.0829630 | + | 0.452972i | ||||
\(473\) | 5.89836e10i | 1.17838i | ||||||||
\(474\) | −3.63427e10 | − | 2.19711e9i | −0.719953 | − | 0.0435249i | ||||
\(475\) | 7.74046e10 | + | 7.74046e10i | 1.52052 | + | 1.52052i | ||||
\(476\) | −1.82988e8 | + | 1.50788e9i | −0.00356446 | + | 0.0293725i | ||||
\(477\) | 1.67118e10 | + | 1.67118e10i | 0.322813 | + | 0.322813i | ||||
\(478\) | −5.54322e10 | − | 6.25658e10i | −1.06182 | − | 1.19846i | ||||
\(479\) | − | 2.01752e10i | − | 0.383244i | −0.981469 | − | 0.191622i | \(-0.938625\pi\) | ||
0.981469 | − | 0.191622i | \(-0.0613747\pi\) | |||||||
\(480\) | 2.66036e10 | + | 5.06683e10i | 0.501159 | + | 0.954490i | ||||
\(481\) | 2.15212e10 | 0.402056 | ||||||||
\(482\) | −9.34575e9 | + | 8.28017e9i | −0.173151 | + | 0.153409i | ||||
\(483\) | −1.96513e10 | + | 1.96513e10i | −0.361080 | + | 0.361080i | ||||
\(484\) | 1.42729e10 | + | 1.73207e9i | 0.260094 | + | 0.0315634i | ||||
\(485\) | 2.63209e10 | − | 2.63209e10i | 0.475700 | − | 0.475700i | ||||
\(486\) | 2.15965e8 | − | 3.57232e9i | 0.00387113 | − | 0.0640331i | ||||
\(487\) | 8.38918e9 | 0.149143 | 0.0745716 | − | 0.997216i | \(-0.476241\pi\) | ||||
0.0745716 | + | 0.997216i | \(0.476241\pi\) | |||||||
\(488\) | 1.82023e10 | − | 9.93833e10i | 0.320957 | − | 1.75240i | ||||
\(489\) | − | 2.27246e10i | − | 0.397431i | ||||||
\(490\) | −2.83092e9 | + | 4.68267e10i | −0.0491069 | + | 0.812287i | ||||
\(491\) | 3.49032e10 | + | 3.49032e10i | 0.600536 | + | 0.600536i | 0.940455 | − | 0.339919i | \(-0.110400\pi\) |
−0.339919 | + | 0.940455i | \(0.610400\pi\) | |||||||
\(492\) | 1.57991e9 | − | 1.23795e9i | 0.0269633 | − | 0.0211273i | ||||
\(493\) | 2.95819e9 | + | 2.95819e9i | 0.0500770 | + | 0.0500770i | ||||
\(494\) | −2.58767e10 | + | 2.29263e10i | −0.434512 | + | 0.384970i | ||||
\(495\) | 4.19791e10i | 0.699217i | ||||||||
\(496\) | −1.49301e10 | + | 6.06088e10i | −0.246681 | + | 1.00140i | ||||
\(497\) | −2.67254e9 | −0.0438025 | ||||||||
\(498\) | 1.96718e9 | + | 2.22034e9i | 0.0319836 | + | 0.0360996i | ||||
\(499\) | 1.48587e10 | − | 1.48587e10i | 0.239650 | − | 0.239650i | −0.577055 | − | 0.816705i | \(-0.695798\pi\) |
0.816705 | + | 0.577055i | \(0.195798\pi\) | |||||||
\(500\) | 1.36565e11 | − | 1.07007e11i | 2.18505 | − | 1.71211i | ||||
\(501\) | −1.96044e10 | + | 1.96044e10i | −0.311174 | + | 0.311174i | ||||
\(502\) | −6.67411e10 | − | 4.03484e9i | −1.05094 | − | 0.0635348i | ||||
\(503\) | −3.54400e10 | −0.553632 | −0.276816 | − | 0.960923i | \(-0.589279\pi\) | ||||
−0.276816 | + | 0.960923i | \(0.589279\pi\) | |||||||
\(504\) | 1.32946e10 | − | 9.17855e9i | 0.206040 | − | 0.142250i | ||||
\(505\) | 1.52551e11i | 2.34558i | ||||||||
\(506\) | 8.65579e10 | + | 5.23287e9i | 1.32040 | + | 0.0798248i | ||||
\(507\) | −1.48185e10 | − | 1.48185e10i | −0.224270 | − | 0.224270i | ||||
\(508\) | −4.08226e10 | − | 4.95397e9i | −0.612979 | − | 0.0743873i | ||||
\(509\) | 9.14813e9 | + | 9.14813e9i | 0.136289 | + | 0.136289i | 0.771960 | − | 0.635671i | \(-0.219276\pi\) |
−0.635671 | + | 0.771960i | \(0.719276\pi\) | |||||||
\(510\) | 1.90518e9 | + | 2.15036e9i | 0.0281615 | + | 0.0317856i | ||||
\(511\) | − | 2.17911e10i | − | 0.319592i | ||||||
\(512\) | −6.67176e10 | + | 1.64658e10i | −0.970869 | + | 0.239609i | ||||
\(513\) | 1.15261e10 | 0.166423 | ||||||||
\(514\) | −9.74140e10 | + | 8.63071e10i | −1.39563 | + | 1.23650i | ||||
\(515\) | 3.04116e9 | − | 3.04116e9i | 0.0432325 | − | 0.0432325i | ||||
\(516\) | 5.17218e9 | − | 4.26207e10i | 0.0729583 | − | 0.601203i | ||||
\(517\) | 9.25043e10 | − | 9.25043e10i | 1.29479 | − | 1.29479i | ||||
\(518\) | 1.95451e9 | − | 3.23299e10i | 0.0271468 | − | 0.449040i | ||||
\(519\) | 2.63945e10 | 0.363785 | ||||||||
\(520\) | 5.20714e10 | + | 7.54222e10i | 0.712173 | + | 1.03154i | ||||
\(521\) | − | 7.82173e10i | − | 1.06158i | −0.847504 | − | 0.530789i | \(-0.821896\pi\) | ||
0.847504 | − | 0.530789i | \(-0.178104\pi\) | |||||||
\(522\) | 2.68505e9 | − | 4.44139e10i | 0.0361635 | − | 0.598187i | ||||
\(523\) | 1.67737e10 | + | 1.67737e10i | 0.224194 | + | 0.224194i | 0.810262 | − | 0.586068i | \(-0.199325\pi\) |
−0.586068 | + | 0.810262i | \(0.699325\pi\) | |||||||
\(524\) | 5.50554e10 | + | 7.02633e10i | 0.730256 | + | 0.931974i | ||||
\(525\) | −5.79276e10 | − | 5.79276e10i | −0.762515 | − | 0.762515i | ||||
\(526\) | 7.11340e10 | − | 6.30235e10i | 0.929254 | − | 0.823302i | ||||
\(527\) | 3.13362e9i | 0.0406260i | ||||||||
\(528\) | −4.89455e10 | − | 1.20570e10i | −0.629763 | − | 0.155133i | ||||
\(529\) | 3.02707e10 | 0.386545 | ||||||||
\(530\) | 1.33815e11 | + | 1.51035e11i | 1.69590 | + | 1.91415i | ||||
\(531\) | 8.62934e9 | − | 8.62934e9i | 0.108542 | − | 0.108542i | ||||
\(532\) | 3.20906e10 | + | 4.09550e10i | 0.400619 | + | 0.511282i | ||||
\(533\) | 2.27298e9 | − | 2.27298e9i | 0.0281635 | − | 0.0281635i | ||||
\(534\) | −7.92674e10 | − | 4.79212e9i | −0.974831 | − | 0.0589336i | ||||
\(535\) | 1.29387e11 | 1.57934 | ||||||||
\(536\) | 4.63242e10 | + | 8.48440e9i | 0.561240 | + | 0.102793i | ||||
\(537\) | 4.56782e10i | 0.549303i | ||||||||
\(538\) | −3.84155e10 | − | 2.32241e9i | −0.458540 | − | 0.0277211i | ||||
\(539\) | −2.92192e10 | − | 2.92192e10i | −0.346189 | − | 0.346189i | ||||
\(540\) | 3.68108e9 | − | 3.03335e10i | 0.0432913 | − | 0.356736i | ||||
\(541\) | −3.16296e10 | − | 3.16296e10i | −0.369237 | − | 0.369237i | 0.497962 | − | 0.867199i | \(-0.334082\pi\) |
−0.867199 | + | 0.497962i | \(0.834082\pi\) | |||||||
\(542\) | 3.17583e10 | + | 3.58453e10i | 0.368011 | + | 0.415370i | ||||
\(543\) | 2.35568e10i | 0.270967i | ||||||||
\(544\) | −3.05441e9 | + | 1.60373e9i | −0.0348764 | + | 0.0183120i | ||||
\(545\) | −2.03155e11 | −2.30272 | ||||||||
\(546\) | 1.93655e10 | − | 1.71575e10i | 0.217900 | − | 0.193056i | ||||
\(547\) | −3.87257e10 | + | 3.87257e10i | −0.432564 | + | 0.432564i | −0.889500 | − | 0.456936i | \(-0.848947\pi\) |
0.456936 | + | 0.889500i | \(0.348947\pi\) | |||||||
\(548\) | −6.63153e10 | − | 8.04761e9i | −0.735345 | − | 0.0892370i | ||||
\(549\) | −3.81463e10 | + | 3.81463e10i | −0.419916 | + | 0.419916i | ||||
\(550\) | −1.54253e10 | + | 2.55153e11i | −0.168571 | + | 2.78837i | ||||
\(551\) | 1.43302e11 | 1.55470 | ||||||||
\(552\) | −6.20866e10 | − | 1.13713e10i | −0.668716 | − | 0.122477i | ||||
\(553\) | 8.77546e10i | 0.938359i | ||||||||
\(554\) | 3.77172e9 | − | 6.23887e10i | 0.0400406 | − | 0.662319i | ||||
\(555\) | −4.33177e10 | − | 4.33177e10i | −0.456555 | − | 0.456555i | ||||
\(556\) | −1.52702e10 | + | 1.19651e10i | −0.159789 | + | 0.125204i | ||||
\(557\) | −9.81882e10 | − | 9.81882e10i | −1.02009 | − | 1.02009i | −0.999794 | − | 0.0202966i | \(-0.993539\pi\) |
−0.0202966 | − | 0.999794i | \(-0.506461\pi\) | |||||||
\(558\) | 2.49460e10 | − | 2.21018e10i | 0.257315 | − | 0.227977i | ||||
\(559\) | − | 6.87583e10i | − | 0.704171i | ||||||
\(560\) | 1.18031e11 | − | 7.13737e10i | 1.20017 | − | 0.725748i | ||||
\(561\) | −2.53060e9 | −0.0255489 | ||||||||
\(562\) | −1.77546e10 | − | 2.00395e10i | −0.177978 | − | 0.200882i | ||||
\(563\) | 5.79373e10 | − | 5.79373e10i | 0.576666 | − | 0.576666i | −0.357317 | − | 0.933983i | \(-0.616308\pi\) |
0.933983 | + | 0.357317i | \(0.116308\pi\) | |||||||
\(564\) | −7.49538e10 | + | 5.87307e10i | −0.740760 | + | 0.580429i | ||||
\(565\) | 7.90433e10 | − | 7.90433e10i | 0.775659 | − | 0.775659i | ||||
\(566\) | −6.71776e10 | − | 4.06123e9i | −0.654574 | − | 0.0395724i | ||||
\(567\) | −8.62585e9 | −0.0834583 | ||||||||
\(568\) | −3.44859e9 | − | 4.99507e9i | −0.0331320 | − | 0.0479897i | ||||
\(569\) | − | 6.25969e8i | − | 0.00597178i | −0.999996 | − | 0.00298589i | \(-0.999050\pi\) | ||
0.999996 | − | 0.00298589i | \(-0.000950440\pi\) | |||||||
\(570\) | 9.82302e10 | + | 5.93852e9i | 0.930563 | + | 0.0562573i | ||||
\(571\) | −2.49209e10 | − | 2.49209e10i | −0.234433 | − | 0.234433i | 0.580107 | − | 0.814540i | \(-0.303011\pi\) |
−0.814540 | + | 0.580107i | \(0.803011\pi\) | |||||||
\(572\) | −8.01421e10 | − | 9.72555e9i | −0.748646 | − | 0.0908511i | ||||
\(573\) | −8.12560e10 | − | 8.12560e10i | −0.753767 | − | 0.753767i | ||||
\(574\) | −3.20812e9 | − | 3.62097e9i | −0.0295531 | − | 0.0333563i | ||||
\(575\) | 3.20074e11i | 2.92805i | ||||||||
\(576\) | 3.43100e10 | + | 1.30042e10i | 0.311696 | + | 0.118139i | ||||
\(577\) | −9.95264e10 | −0.897915 | −0.448957 | − | 0.893553i | \(-0.648205\pi\) | ||||
−0.448957 | + | 0.893553i | \(0.648205\pi\) | |||||||
\(578\) | 8.34108e10 | − | 7.39005e10i | 0.747327 | − | 0.662119i | ||||
\(579\) | −3.01723e10 | + | 3.01723e10i | −0.268469 | + | 0.268469i | ||||
\(580\) | 4.57662e10 | − | 3.77130e11i | 0.404420 | − | 3.33257i | ||||
\(581\) | 5.05568e9 | − | 5.05568e9i | 0.0443685 | − | 0.0443685i | ||||
\(582\) | 1.44018e9 | − | 2.38223e10i | 0.0125524 | − | 0.207631i | ||||
\(583\) | −1.77742e11 | −1.53857 | ||||||||
\(584\) | 4.07283e10 | − | 2.81188e10i | 0.350142 | − | 0.241738i | ||||
\(585\) | − | 4.89358e10i | − | 0.417833i | ||||||
\(586\) | 1.16336e10 | − | 1.92433e11i | 0.0986558 | − | 1.63188i | ||||
\(587\) | −1.26437e11 | − | 1.26437e11i | −1.06493 | − | 1.06493i | −0.997740 | − | 0.0671927i | \(-0.978596\pi\) |
−0.0671927 | − | 0.997740i | \(-0.521404\pi\) | |||||||
\(588\) | 1.85512e10 | + | 2.36756e10i | 0.155190 | + | 0.198057i | ||||
\(589\) | 7.59001e10 | + | 7.59001e10i | 0.630640 | + | 0.630640i | ||||
\(590\) | 7.79888e10 | − | 6.90968e10i | 0.643612 | − | 0.570229i | ||||
\(591\) | 1.20829e11i | 0.990421i | ||||||||
\(592\) | 6.29477e10 | − | 3.80648e10i | 0.512499 | − | 0.309910i | ||||
\(593\) | 1.59336e11 | 1.28853 | 0.644266 | − | 0.764802i | \(-0.277163\pi\) | ||||
0.644266 | + | 0.764802i | \(0.277163\pi\) | |||||||
\(594\) | 1.78486e10 | + | 2.01455e10i | 0.143370 | + | 0.161820i | ||||
\(595\) | 4.89633e9 | − | 4.89633e9i | 0.0390664 | − | 0.0390664i | ||||
\(596\) | 4.36684e10 | + | 5.57309e10i | 0.346084 | + | 0.441683i | ||||
\(597\) | 3.73121e10 | − | 3.73121e10i | 0.293732 | − | 0.293732i | ||||
\(598\) | −1.00902e11 | − | 6.10006e9i | −0.789035 | − | 0.0477012i | ||||
\(599\) | 1.68011e11 | 1.30506 | 0.652529 | − | 0.757764i | \(-0.273708\pi\) | ||||
0.652529 | + | 0.757764i | \(0.273708\pi\) | |||||||
\(600\) | 3.35201e10 | − | 1.83017e11i | 0.258643 | − | 1.41217i | ||||
\(601\) | − | 2.22630e11i | − | 1.70642i | −0.521569 | − | 0.853209i | \(-0.674653\pi\) | ||
0.521569 | − | 0.853209i | \(-0.325347\pi\) | |||||||
\(602\) | −1.03291e11 | − | 6.24447e9i | −0.786460 | − | 0.0475455i | ||||
\(603\) | −1.77806e10 | − | 1.77806e10i | −0.134486 | − | 0.134486i | ||||
\(604\) | −1.67600e10 | + | 1.38108e11i | −0.125929 | + | 1.03770i | ||||
\(605\) | −4.63462e10 | − | 4.63462e10i | −0.345933 | − | 0.345933i | ||||
\(606\) | 6.48614e10 | + | 7.32085e10i | 0.480946 | + | 0.542839i | ||||
\(607\) | 6.68417e9i | 0.0492371i | 0.999697 | + | 0.0246186i | \(0.00783713\pi\) | ||||
−0.999697 | + | 0.0246186i | \(0.992163\pi\) | |||||||
\(608\) | −3.51372e10 | + | 1.12826e11i | −0.257130 | + | 0.825647i | ||||
\(609\) | −1.07244e11 | −0.779654 | ||||||||
\(610\) | −3.44752e11 | + | 3.05444e11i | −2.48993 | + | 2.20604i | ||||
\(611\) | −1.07834e11 | + | 1.07834e11i | −0.773733 | + | 0.773733i | ||||
\(612\) | 1.82857e9 | + | 2.21904e8i | 0.0130349 | + | 0.00158183i | ||||
\(613\) | 1.14294e11 | − | 1.14294e11i | 0.809432 | − | 0.809432i | −0.175116 | − | 0.984548i | \(-0.556030\pi\) |
0.984548 | + | 0.175116i | \(0.0560301\pi\) | |||||||
\(614\) | 9.03151e8 | − | 1.49392e10i | 0.00635458 | − | 0.105112i | ||||
\(615\) | −9.15005e9 | −0.0639621 | ||||||||
\(616\) | −2.18884e10 | + | 1.19509e11i | −0.152016 | + | 0.829999i | ||||
\(617\) | 1.00150e11i | 0.691051i | 0.938409 | + | 0.345525i | \(0.112299\pi\) | ||||
−0.938409 | + | 0.345525i | \(0.887701\pi\) | |||||||
\(618\) | 1.66401e8 | − | 2.75247e9i | 0.00114078 | − | 0.0188699i | ||||
\(619\) | −7.46140e10 | − | 7.46140e10i | −0.508227 | − | 0.508227i | 0.405755 | − | 0.913982i | \(-0.367009\pi\) |
−0.913982 | + | 0.405755i | \(0.867009\pi\) | |||||||
\(620\) | 2.23988e11 | − | 1.75507e11i | 1.51585 | − | 1.18776i | ||||
\(621\) | 2.38307e10 | + | 2.38307e10i | 0.160240 | + | 0.160240i | ||||
\(622\) | 2.38875e9 | − | 2.11639e9i | 0.0159591 | − | 0.0141395i | ||||
\(623\) | 1.91402e11i | 1.27056i | ||||||||
\(624\) | 5.70567e10 | + | 1.40551e10i | 0.376329 | + | 0.0927032i | ||||
\(625\) | −4.11487e11 | −2.69672 | ||||||||
\(626\) | −8.43028e10 | − | 9.51517e10i | −0.548965 | − | 0.619611i | ||||
\(627\) | −6.12943e10 | + | 6.12943e10i | −0.396597 | + | 0.396597i | ||||
\(628\) | 6.38994e10 | − | 5.00689e10i | 0.410826 | − | 0.321906i | ||||
\(629\) | 2.61129e9 | − | 2.61129e9i | 0.0166822 | − | 0.0166822i | ||||
\(630\) | −7.35130e10 | − | 4.44424e9i | −0.466661 | − | 0.0282121i | ||||
\(631\) | 2.14848e10 | 0.135523 | 0.0677617 | − | 0.997702i | \(-0.478414\pi\) | ||||
0.0677617 | + | 0.997702i | \(0.478414\pi\) | |||||||
\(632\) | −1.64016e11 | + | 1.13237e11i | −1.02806 | + | 0.709771i | ||||
\(633\) | − | 1.26931e11i | − | 0.790593i | ||||||
\(634\) | 4.21476e10 | + | 2.54804e9i | 0.260865 | + | 0.0157706i | ||||
\(635\) | 1.32557e11 | + | 1.32557e11i | 0.815283 | + | 0.815283i | ||||
\(636\) | 1.28434e11 | + | 1.55860e10i | 0.784968 | + | 0.0952588i | ||||
\(637\) | 3.40614e10 | + | 3.40614e10i | 0.206874 | + | 0.206874i | ||||
\(638\) | 2.21908e11 | + | 2.50466e11i | 1.33934 | + | 1.51170i | ||||
\(639\) | 3.24092e9i | 0.0194386i | ||||||||
\(640\) | 2.85704e11 | + | 1.28504e11i | 1.70293 | + | 0.765944i | ||||
\(641\) | 8.33981e10 | 0.493997 | 0.246998 | − | 0.969016i | \(-0.420556\pi\) | ||||
0.246998 | + | 0.969016i | \(0.420556\pi\) | |||||||
\(642\) | 6.20923e10 | − | 5.50127e10i | 0.365508 | − | 0.323834i | ||||
\(643\) | −1.81974e10 | + | 1.81974e10i | −0.106455 | + | 0.106455i | −0.758328 | − | 0.651873i | \(-0.773983\pi\) |
0.651873 | + | 0.758328i | \(0.273983\pi\) | |||||||
\(644\) | −1.83274e10 | + | 1.51025e11i | −0.106551 | + | 0.878020i | ||||
\(645\) | −1.38396e11 | + | 1.38396e11i | −0.799621 | + | 0.799621i | ||||
\(646\) | −3.57989e8 | + | 5.92156e9i | −0.00205560 | + | 0.0340021i | ||||
\(647\) | −1.76390e11 | −1.00660 | −0.503300 | − | 0.864112i | \(-0.667881\pi\) | ||||
−0.503300 | + | 0.864112i | \(0.667881\pi\) | |||||||
\(648\) | −1.11306e10 | − | 1.61220e10i | −0.0631275 | − | 0.0914363i | ||||
\(649\) | 9.17793e10i | 0.517328i | ||||||||
\(650\) | 1.79816e10 | − | 2.97437e11i | 0.100734 | − | 1.66625i | ||||
\(651\) | −5.68017e10 | − | 5.68017e10i | −0.316255 | − | 0.316255i | ||||
\(652\) | −7.67250e10 | − | 9.79187e10i | −0.424567 | − | 0.541845i | ||||
\(653\) | −2.36372e11 | − | 2.36372e11i | −1.30000 | − | 1.30000i | −0.928389 | − | 0.371610i | \(-0.878806\pi\) |
−0.371610 | − | 0.928389i | \(-0.621194\pi\) | |||||||
\(654\) | −9.74929e10 | + | 8.63770e10i | −0.532920 | + | 0.472158i | ||||
\(655\) | − | 4.06929e11i | − | 2.21082i | ||||||
\(656\) | 2.62803e9 | − | 1.06685e10i | 0.0141911 | − | 0.0576087i | ||||
\(657\) | −2.64255e10 | −0.141828 | ||||||||
\(658\) | 1.52199e11 | + | 1.71785e11i | 0.811909 | + | 0.916394i | ||||
\(659\) | 6.31475e10 | − | 6.31475e10i | 0.334823 | − | 0.334823i | −0.519592 | − | 0.854415i | \(-0.673916\pi\) |
0.854415 | + | 0.519592i | \(0.173916\pi\) | |||||||
\(660\) | 1.41734e11 | + | 1.80885e11i | 0.746960 | + | 0.953292i | ||||
\(661\) | 1.23433e11 | − | 1.23433e11i | 0.646585 | − | 0.646585i | −0.305581 | − | 0.952166i | \(-0.598851\pi\) |
0.952166 | + | 0.305581i | \(0.0988508\pi\) | |||||||
\(662\) | −1.49385e11 | − | 9.03111e9i | −0.777814 | − | 0.0470229i | ||||
\(663\) | 2.94997e9 | 0.0152673 | ||||||||
\(664\) | 1.59730e10 | + | 2.92549e9i | 0.0821700 | + | 0.0150497i | ||||
\(665\) | − | 2.37190e11i | − | 1.21286i | ||||||
\(666\) | −3.92057e10 | − | 2.37019e9i | −0.199275 | − | 0.0120472i | ||||
\(667\) | 2.96282e11 | + | 2.96282e11i | 1.49693 | + | 1.49693i | ||||
\(668\) | −1.82837e10 | + | 1.50664e11i | −0.0918244 | + | 0.756666i | ||||
\(669\) | 1.56854e11 | + | 1.56854e11i | 0.783053 | + | 0.783053i | ||||
\(670\) | −1.42372e11 | − | 1.60694e11i | −0.706524 | − | 0.797447i | ||||
\(671\) | − | 4.05713e11i | − | 2.00138i | ||||||
\(672\) | 2.62958e10 | − | 8.44360e10i | 0.128946 | − | 0.414048i | ||||
\(673\) | 1.85697e11 | 0.905198 | 0.452599 | − | 0.891714i | \(-0.350497\pi\) | ||||
0.452599 | + | 0.891714i | \(0.350497\pi\) | |||||||
\(674\) | 7.30470e10 | − | 6.47184e10i | 0.353967 | − | 0.313609i | ||||
\(675\) | −7.02474e10 | + | 7.02474e10i | −0.338388 | + | 0.338388i | ||||
\(676\) | −1.13883e11 | − | 1.38201e10i | −0.545346 | − | 0.0661798i | ||||
\(677\) | −2.24071e11 | + | 2.24071e11i | −1.06667 | + | 1.06667i | −0.0690581 | + | 0.997613i | \(0.521999\pi\) |
−0.997613 | + | 0.0690581i | \(0.978001\pi\) | |||||||
\(678\) | 4.32496e9 | − | 7.15400e10i | 0.0204674 | − | 0.338556i | ||||
\(679\) | −5.75223e10 | −0.270618 | ||||||||
\(680\) | 1.54695e10 | + | 2.83328e9i | 0.0723505 | + | 0.0132512i | ||||
\(681\) | 1.41412e11i | 0.657503i | ||||||||
\(682\) | −1.51255e10 | + | 2.50194e11i | −0.0699153 | + | 1.15648i | ||||
\(683\) | −9.27113e10 | − | 9.27113e10i | −0.426040 | − | 0.426040i | 0.461237 | − | 0.887277i | \(-0.347406\pi\) |
−0.887277 | + | 0.461237i | \(0.847406\pi\) | |||||||
\(684\) | 4.96651e10 | − | 3.89155e10i | 0.226896 | − | 0.177786i | ||||
\(685\) | 2.15336e11 | + | 2.15336e11i | 0.978035 | + | 0.978035i | ||||
\(686\) | 1.78769e11 | − | 1.58386e11i | 0.807225 | − | 0.715187i | ||||
\(687\) | − | 1.15245e11i | − | 0.517362i | ||||||
\(688\) | −1.21613e11 | − | 2.01112e11i | −0.542784 | − | 0.897603i | ||||
\(689\) | 2.07198e11 | 0.919408 | ||||||||
\(690\) | 1.90817e11 | + | 2.15373e11i | 0.841821 | + | 0.950156i | ||||
\(691\) | 7.75266e8 | − | 7.75266e8i | 0.00340047 | − | 0.00340047i | −0.705405 | − | 0.708805i | \(-0.749235\pi\) |
0.708805 | + | 0.705405i | \(0.249235\pi\) | |||||||
\(692\) | 1.13732e11 | − | 8.91156e10i | 0.495973 | − | 0.388624i | ||||
\(693\) | 4.58711e10 | − | 4.58711e10i | 0.198887 | − | 0.198887i | ||||
\(694\) | 3.48702e11 | + | 2.10808e10i | 1.50320 | + | 0.0908762i | ||||
\(695\) | 8.84372e10 | 0.379049 | ||||||||
\(696\) | −1.38385e11 | − | 2.00442e11i | −0.589727 | − | 0.854183i | ||||
\(697\) | − | 5.51587e8i | − | 0.00233713i | ||||||
\(698\) | −1.56220e11 | − | 9.44430e9i | −0.658134 | − | 0.0397876i | ||||
\(699\) | −4.80845e10 | − | 4.80845e10i | −0.201417 | − | 0.201417i | ||||
\(700\) | −4.45186e11 | − | 5.40251e10i | −1.85417 | − | 0.225011i | ||||
\(701\) | 7.27256e10 | + | 7.27256e10i | 0.301172 | + | 0.301172i | 0.841472 | − | 0.540300i | \(-0.181689\pi\) |
−0.540300 | + | 0.841472i | \(0.681689\pi\) | |||||||
\(702\) | −2.08065e10 | − | 2.34840e10i | −0.0856741 | − | 0.0966996i | ||||
\(703\) | − | 1.26498e11i | − | 0.517918i | ||||||
\(704\) | −2.51610e11 | + | 1.13302e11i | −1.02432 | + | 0.461259i | ||||
\(705\) | 4.34094e11 | 1.75723 | ||||||||
\(706\) | 1.65579e11 | − | 1.46700e11i | 0.666477 | − | 0.590487i | ||||
\(707\) | 1.66694e11 | − | 1.66694e11i | 0.667181 | − | 0.667181i | ||||
\(708\) | 8.04799e9 | − | 6.63184e10i | 0.0320298 | − | 0.263937i | ||||
\(709\) | −3.28253e10 | + | 3.28253e10i | −0.129904 | + | 0.129904i | −0.769069 | − | 0.639165i | \(-0.779280\pi\) |
0.639165 | + | 0.769069i | \(0.279280\pi\) | |||||||
\(710\) | −1.66980e9 | + | 2.76205e10i | −0.00657099 | + | 0.108692i | ||||
\(711\) | 1.06418e11 | 0.416424 | ||||||||
\(712\) | −3.57737e11 | + | 2.46981e11i | −1.39201 | + | 0.961044i | ||||
\(713\) | 3.13853e11i | 1.21442i | ||||||||
\(714\) | 2.67910e8 | − | 4.43154e9i | 0.00103085 | − | 0.0170515i | ||||
\(715\) | 2.60234e11 | + | 2.60234e11i | 0.995725 | + | 0.995725i | ||||
\(716\) | 1.54223e11 | + | 1.96824e11i | 0.586809 | + | 0.748903i | ||||
\(717\) | 1.72759e11 | + | 1.72759e11i | 0.653679 | + | 0.653679i | ||||
\(718\) | 1.93489e11 | − | 1.71428e11i | 0.728046 | − | 0.645036i | ||||
\(719\) | 3.90755e11i | 1.46214i | 0.682302 | + | 0.731071i | \(0.260979\pi\) | ||||
−0.682302 | + | 0.731071i | \(0.739021\pi\) | |||||||
\(720\) | −8.65531e10 | − | 1.43133e11i | −0.322072 | − | 0.532610i | ||||
\(721\) | −6.64623e9 | −0.0245943 | ||||||||
\(722\) | −4.54453e10 | − | 5.12937e10i | −0.167240 | − | 0.188762i | ||||
\(723\) | 2.58059e10 | − | 2.58059e10i | 0.0944420 | − | 0.0944420i | ||||
\(724\) | 7.95346e10 | + | 1.01504e11i | 0.289469 | + | 0.369429i | ||||
\(725\) | −8.73372e11 | + | 8.73372e11i | −3.16117 | + | 3.16117i | ||||
\(726\) | −4.19467e10 | − | 2.53590e9i | −0.150991 | − | 0.00912819i | ||||
\(727\) | 5.36249e10 | 0.191968 | 0.0959839 | − | 0.995383i | \(-0.469400\pi\) | ||||
0.0959839 | + | 0.995383i | \(0.469400\pi\) | |||||||
\(728\) | 2.55157e10 | − | 1.39314e11i | 0.0908410 | − | 0.495985i | ||||
\(729\) | 1.04604e10i | 0.0370370i | ||||||||
\(730\) | −2.25209e11 | − | 1.36151e10i | −0.793039 | − | 0.0479433i | ||||
\(731\) | −8.34284e9 | − | 8.34284e9i | −0.0292176 | − | 0.0292176i | ||||
\(732\) | −3.55764e10 | + | 2.93162e11i | −0.123913 | + | 1.02109i | ||||
\(733\) | 3.46598e11 | + | 3.46598e11i | 1.20063 | + | 1.20063i | 0.973974 | + | 0.226659i | \(0.0727801\pi\) |
0.226659 | + | 0.973974i | \(0.427220\pi\) | |||||||
\(734\) | −1.48902e11 | − | 1.68065e11i | −0.513000 | − | 0.579018i | ||||
\(735\) | − | 1.37117e11i | − | 0.469831i | ||||||
\(736\) | −3.05919e11 | + | 1.60624e11i | −1.04255 | + | 0.547394i | ||||
\(737\) | 1.89109e11 | 0.640978 | ||||||||
\(738\) | −4.39106e9 | + | 3.89041e9i | −0.0148028 | + | 0.0131150i | ||||
\(739\) | −1.03797e11 | + | 1.03797e11i | −0.348022 | + | 0.348022i | −0.859372 | − | 0.511350i | \(-0.829145\pi\) |
0.511350 | + | 0.859372i | \(0.329145\pi\) | |||||||
\(740\) | −3.32906e11 | − | 4.03994e10i | −1.11018 | − | 0.134725i | ||||
\(741\) | 7.14519e10 | − | 7.14519e10i | 0.236996 | − | 0.236996i | ||||
\(742\) | 1.88172e10 | − | 3.11260e11i | 0.0620784 | − | 1.02685i | ||||
\(743\) | −1.09841e11 | −0.360419 | −0.180210 | − | 0.983628i | \(-0.557678\pi\) | ||||
−0.180210 | + | 0.983628i | \(0.557678\pi\) | |||||||
\(744\) | 3.28686e10 | − | 1.79460e11i | 0.107273 | − | 0.585701i | ||||
\(745\) | − | 3.22765e11i | − | 1.04776i | ||||||
\(746\) | −1.53228e10 | + | 2.53458e11i | −0.0494748 | + | 0.818371i | ||||
\(747\) | −6.13090e9 | − | 6.13090e9i | −0.0196898 | − | 0.0196898i | ||||
\(748\) | −1.09042e10 | + | 8.54405e9i | −0.0348326 | + | 0.0272934i | ||||
\(749\) | −1.41383e11 | − | 1.41383e11i | −0.449231 | − | 0.449231i | ||||
\(750\) | −3.79557e11 | + | 3.36281e11i | −1.19959 | + | 1.06281i | ||||
\(751\) | − | 4.38262e11i | − | 1.37776i | −0.724875 | − | 0.688881i | \(-0.758102\pi\) | ||
0.724875 | − | 0.688881i | \(-0.241898\pi\) | |||||||
\(752\) | −1.24678e11 | + | 5.06132e11i | −0.389870 | + | 1.58268i | ||||
\(753\) | 1.95429e11 | 0.607869 | ||||||||
\(754\) | −2.58683e11 | − | 2.91973e11i | −0.800354 | − | 0.903351i | ||||
\(755\) | 4.48459e11 | − | 4.48459e11i | 1.38018 | − | 1.38018i | ||||
\(756\) | −3.71681e10 | + | 2.91234e10i | −0.113785 | + | 0.0891569i | ||||
\(757\) | 2.68417e10 | − | 2.68417e10i | 0.0817383 | − | 0.0817383i | −0.665056 | − | 0.746794i | \(-0.731592\pi\) |
0.746794 | + | 0.665056i | \(0.231592\pi\) | |||||||
\(758\) | 5.69997e10 | + | 3.44592e9i | 0.172662 | + | 0.0104383i | ||||
\(759\) | −2.53457e11 | −0.763724 | ||||||||
\(760\) | 4.43317e11 | − | 3.06065e11i | 1.32880 | − | 0.917402i | ||||
\(761\) | − | 3.36463e11i | − | 1.00323i | −0.865092 | − | 0.501614i | \(-0.832740\pi\) | ||
0.865092 | − | 0.501614i | \(-0.167260\pi\) | |||||||
\(762\) | 1.19974e11 | + | 7.25304e9i | 0.355850 | + | 0.0215130i | ||||
\(763\) | 2.21990e11 | + | 2.21990e11i | 0.654990 | + | 0.654990i | ||||
\(764\) | −6.24470e11 | − | 7.57818e10i | −1.83290 | − | 0.222429i | ||||
\(765\) | −5.93766e9 | − | 5.93766e9i | −0.0173368 | − | 0.0173368i | ||||
\(766\) | 2.95029e11 | + | 3.32996e11i | 0.856937 | + | 0.967217i | ||||
\(767\) | − | 1.06989e11i | − | 0.309141i | ||||||
\(768\) | 1.91745e11 | − | 5.98067e10i | 0.551162 | − | 0.171912i | ||||
\(769\) | 1.94784e11 | 0.556992 | 0.278496 | − | 0.960437i | \(-0.410164\pi\) | ||||
0.278496 | + | 0.960437i | \(0.410164\pi\) | |||||||
\(770\) | 4.14566e11 | − | 3.67298e11i | 1.17932 | − | 1.04485i | ||||
\(771\) | 2.68984e11 | − | 2.68984e11i | 0.761216 | − | 0.761216i | ||||
\(772\) | −2.81396e10 | + | 2.31880e11i | −0.0792224 | + | 0.652822i | ||||
\(773\) | 4.91243e11 | − | 4.91243e11i | 1.37587 | − | 1.37587i | 0.524402 | − | 0.851471i | \(-0.324289\pi\) |
0.851471 | − | 0.524402i | \(-0.175711\pi\) | |||||||
\(774\) | −7.57252e9 | + | 1.25258e11i | −0.0210997 | + | 0.349014i | ||||
\(775\) | −9.25167e11 | −2.56456 | ||||||||
\(776\) | −7.42255e10 | − | 1.07511e11i | −0.204695 | − | 0.296487i | ||||
\(777\) | 9.46675e10i | 0.259727i | ||||||||
\(778\) | 1.01786e10 | − | 1.68366e11i | 0.0277823 | − | 0.459553i | ||||
\(779\) | −1.33601e10 | − | 1.33601e10i | −0.0362794 | − | 0.0362794i | ||||
\(780\) | −1.65222e11 | − | 2.10861e11i | −0.446363 | − | 0.569662i | ||||
\(781\) | −1.72348e10 | − | 1.72348e10i | −0.0463235 | − | 0.0463235i | ||||
\(782\) | −1.29832e10 | + | 1.15029e10i | −0.0347180 | + | 0.0307596i | ||||
\(783\) | 1.30052e11i | 0.345994i | ||||||||
\(784\) | 1.59871e11 | + | 3.93819e10i | 0.423162 | + | 0.104240i | ||||
\(785\) | −3.70073e11 | −0.974559 | ||||||||
\(786\) | −1.73018e11 | − | 1.95283e11i | −0.453315 | − | 0.511652i | ||||
\(787\) | −3.85780e11 | + | 3.85780e11i | −1.00564 | + | 1.00564i | −0.00565199 | + | 0.999984i | \(0.501799\pi\) |
−0.999984 | + | 0.00565199i | \(0.998201\pi\) | |||||||
\(788\) | 4.07953e11 | + | 5.20641e11i | 1.05805 | + | 1.35031i | ||||
\(789\) | −1.96418e11 | + | 1.96418e11i | −0.506843 | + | 0.506843i | ||||
\(790\) | 9.06936e11 | + | 5.48289e10i | 2.32846 | + | 0.140767i | ||||
\(791\) | −1.72743e11 | −0.441260 | ||||||||
\(792\) | 1.44925e11 | + | 2.65435e10i | 0.368336 | + | 0.0674617i | ||||
\(793\) | 4.72947e11i | 1.19597i | ||||||||
\(794\) | −5.76601e11 | − | 3.48585e10i | −1.45075 | − | 0.0877055i | ||||
\(795\) | −4.17045e11 | − | 4.17045e11i | −1.04403 | − | 1.04403i | ||||
\(796\) | 3.47983e10 | − | 2.86751e11i | 0.0866775 | − | 0.714254i | ||||
\(797\) | −1.04433e11 | − | 1.04433e11i | −0.258823 | − | 0.258823i | 0.565752 | − | 0.824575i | \(-0.308586\pi\) |
−0.824575 | + | 0.565752i | \(0.808586\pi\) | |||||||
\(798\) | −1.00848e11 | − | 1.13827e11i | −0.248689 | − | 0.280693i | ||||
\(799\) | 2.61683e10i | 0.0642078i | ||||||||
\(800\) | −4.73484e11 | − | 9.01780e11i | −1.15597 | − | 2.20161i | ||||
\(801\) | 2.32108e11 | 0.563847 | ||||||||
\(802\) | −3.57615e11 | + | 3.16841e11i | −0.864407 | + | 0.765850i | ||||
\(803\) | 1.40527e11 | − | 1.40527e11i | 0.337986 | − | 0.337986i | ||||
\(804\) | −1.36648e11 | − | 1.65827e10i | −0.327023 | − | 0.0396855i | ||||
\(805\) | 4.90401e11 | − | 4.90401e11i | 1.16780 | − | 1.16780i | ||||
\(806\) | 1.76321e10 | − | 2.91656e11i | 0.0417795 | − | 0.691083i | ||||
\(807\) | 1.12487e11 | 0.265221 | ||||||||
\(808\) | 5.26656e11 | + | 9.64585e10i | 1.23561 | + | 0.226305i | ||||
\(809\) | − | 4.26161e11i | − | 0.994901i | −0.867492 | − | 0.497450i | \(-0.834270\pi\) | ||
0.867492 | − | 0.497450i | \(-0.165730\pi\) | |||||||
\(810\) | −5.38942e9 | + | 8.91474e10i | −0.0125199 | + | 0.207094i | ||||
\(811\) | 8.13750e10 | + | 8.13750e10i | 0.188108 | + | 0.188108i | 0.794878 | − | 0.606770i | \(-0.207535\pi\) |
−0.606770 | + | 0.794878i | \(0.707535\pi\) | |||||||
\(812\) | −4.62104e11 | + | 3.62085e11i | −1.06296 | + | 0.832889i | ||||
\(813\) | −9.89775e10 | − | 9.89775e10i | −0.226555 | − | 0.226555i | ||||
\(814\) | 2.21095e11 | − | 1.95886e11i | 0.503594 | − | 0.446176i | ||||
\(815\) | 5.67095e11i | 1.28536i | ||||||||
\(816\) | 8.62840e9 | − | 5.21763e9i | 0.0194612 | − | 0.0117683i | ||||
\(817\) | −4.04148e11 | −0.907093 | ||||||||
\(818\) | −3.70185e11 | − | 4.17825e11i | −0.826811 | − | 0.933213i | ||||
\(819\) | −5.34728e10 | + | 5.34728e10i | −0.118849 | + | 0.118849i | ||||
\(820\) | −3.94268e10 | + | 3.08932e10i | −0.0872041 | + | 0.0683295i | ||||
\(821\) | 2.55228e11 | − | 2.55228e11i | 0.561767 | − | 0.561767i | −0.368042 | − | 0.929809i | \(-0.619972\pi\) |
0.929809 | + | 0.368042i | \(0.119972\pi\) | |||||||
\(822\) | 1.94895e11 | + | 1.17824e10i | 0.426887 | + | 0.0258075i | ||||
\(823\) | −5.69856e11 | −1.24213 | −0.621063 | − | 0.783761i | \(-0.713299\pi\) | ||||
−0.621063 | + | 0.783761i | \(0.713299\pi\) | |||||||
\(824\) | −8.57615e9 | − | 1.24220e10i | −0.0186030 | − | 0.0269453i | ||||
\(825\) | − | 7.47132e11i | − | 1.61280i | ||||||
\(826\) | −1.60722e11 | − | 9.71649e9i | −0.345268 | − | 0.0208732i | ||||
\(827\) | −4.62744e10 | − | 4.62744e10i | −0.0989279 | − | 0.0989279i | 0.655911 | − | 0.754839i | \(-0.272285\pi\) |
−0.754839 | + | 0.655911i | \(0.772285\pi\) | |||||||
\(828\) | 1.83144e11 | + | 2.22252e10i | 0.389647 | + | 0.0472851i | ||||
\(829\) | 2.02328e10 | + | 2.02328e10i | 0.0428389 | + | 0.0428389i | 0.728202 | − | 0.685363i | \(-0.240356\pi\) |
−0.685363 | + | 0.728202i | \(0.740356\pi\) | |||||||
\(830\) | −4.90912e10 | − | 5.54088e10i | −0.103441 | − | 0.116753i | ||||
\(831\) | 1.82685e11i | 0.383088i | ||||||||
\(832\) | 2.93307e11 | − | 1.32078e11i | 0.612109 | − | 0.275636i | ||||
\(833\) | 8.26573e9 | 0.0171673 | ||||||||
\(834\) | 4.24406e10 | − | 3.76016e10i | 0.0877237 | − | 0.0777217i | ||||
\(835\) | 4.89230e11 | − | 4.89230e11i | 1.00639 | − | 1.00639i | ||||
\(836\) | −5.71649e10 | + | 4.71060e11i | −0.117032 | + | 0.964386i | ||||
\(837\) | −6.88820e10 | + | 6.88820e10i | −0.140347 | + | 0.140347i | ||||
\(838\) | −6.66368e9 | + | 1.10225e11i | −0.0135126 | + | 0.223514i | ||||
\(839\) | 4.29029e11 | 0.865842 | 0.432921 | − | 0.901432i | \(-0.357483\pi\) | ||||
0.432921 | + | 0.901432i | \(0.357483\pi\) | |||||||
\(840\) | −3.31767e11 | + | 2.29052e11i | −0.666371 | + | 0.460062i | ||||
\(841\) | 1.11666e12i | 2.23222i | ||||||||
\(842\) | 7.24651e9 | − | 1.19866e11i | 0.0144172 | − | 0.238477i | ||||
\(843\) | 5.53339e10 | + | 5.53339e10i | 0.109567 | + | 0.109567i | ||||
\(844\) | −4.28556e11 | − | 5.46936e11i | −0.844575 | − | 1.07787i | ||||
\(845\) | 3.69796e11 | + | 3.69796e11i | 0.725329 | + | 0.725329i | ||||
\(846\) | 2.08320e11 | − | 1.84568e11i | 0.406676 | − | 0.360308i | ||||
\(847\) | 1.01286e11i | 0.196796i | ||||||||
\(848\) | 6.06035e11 | − | 3.66472e11i | 1.17196 | − | 0.708692i | ||||
\(849\) | 1.96708e11 | 0.378608 | ||||||||
\(850\) | −3.39079e10 | − | 3.82715e10i | −0.0649569 | − | 0.0733162i | ||||
\(851\) | 2.61539e11 | − | 2.61539e11i | 0.498675 | − | 0.498675i | ||||
\(852\) | 1.09423e10 | + | 1.39649e10i | 0.0207659 | + | 0.0265020i | ||||
\(853\) | −5.87411e11 | + | 5.87411e11i | −1.10955 | + | 1.10955i | −0.116338 | + | 0.993210i | \(0.537116\pi\) |
−0.993210 | + | 0.116338i | \(0.962884\pi\) | |||||||
\(854\) | 7.10477e11 | + | 4.29520e10i | 1.33573 | + | 0.0807518i | ||||
\(855\) | −2.87635e11 | −0.538242 | ||||||||
\(856\) | 8.18119e10 | − | 4.46687e11i | 0.152378 | − | 0.831971i | ||||
\(857\) | − | 3.80589e11i | − | 0.705558i | −0.935707 | − | 0.352779i | \(-0.885237\pi\) | ||
0.935707 | − | 0.352779i | \(-0.114763\pi\) | |||||||
\(858\) | 2.35531e11 | + | 1.42390e10i | 0.434609 | + | 0.0262743i | ||||
\(859\) | −2.51162e11 | − | 2.51162e11i | −0.461298 | − | 0.461298i | 0.437783 | − | 0.899081i | \(-0.355764\pi\) |
−0.899081 | + | 0.437783i | \(0.855764\pi\) | |||||||
\(860\) | −1.29072e11 | + | 1.06360e12i | −0.235960 | + | 1.94440i | ||||
\(861\) | 9.99837e9 | + | 9.99837e9i | 0.0181935 | + | 0.0181935i | ||||
\(862\) | 3.06766e11 | + | 3.46244e11i | 0.555621 | + | 0.627124i | ||||
\(863\) | − | 4.61350e11i | − | 0.831740i | −0.909424 | − | 0.415870i | \(-0.863477\pi\) | ||
0.909424 | − | 0.415870i | \(-0.136523\pi\) | |||||||
\(864\) | −1.02393e11 | − | 3.18882e10i | −0.183746 | − | 0.0572236i | ||||
\(865\) | −6.58677e11 | −1.17654 | ||||||||
\(866\) | 3.51792e11 | − | 3.11681e11i | 0.625481 | − | 0.554165i | ||||
\(867\) | −2.30317e11 | + | 2.30317e11i | −0.407615 | + | 0.407615i | ||||
\(868\) | −4.36534e11 | − | 5.29750e10i | −0.769022 | − | 0.0933237i | ||||
\(869\) | −5.65915e11 | + | 5.65915e11i | −0.992367 | + | 0.992367i | ||||
\(870\) | −6.70056e10 | + | 1.10835e12i | −0.116959 | + | 1.93464i | ||||
\(871\) | −2.20448e11 | −0.383032 | ||||||||
\(872\) | −1.28455e11 | + | 7.01356e11i | −0.222170 | + | 1.21303i | ||||
\(873\) | 6.97559e10i | 0.120095i | ||||||||
\(874\) | −3.58549e10 | + | 5.93083e11i | −0.0614474 | + | 1.01641i | ||||
\(875\) | 8.64245e11 | + | 8.64245e11i | 1.47436 | + | 1.47436i | ||||
\(876\) | −1.13866e11 | + | 8.92204e10i | −0.193364 | + | 0.151512i | ||||
\(877\) | −5.93230e11 | − | 5.93230e11i | −1.00282 | − | 1.00282i | −0.999996 | − | 0.00282855i | \(-0.999100\pi\) |
−0.00282855 | − | 0.999996i | \(-0.500900\pi\) | |||||||
\(878\) | −4.26082e11 | + | 3.77501e11i | −0.716993 | + | 0.635243i | ||||
\(879\) | 5.63477e11i | 0.943889i | ||||||||
\(880\) | 1.22144e12 | + | 3.00883e11i | 2.03676 | + | 0.501727i | ||||
\(881\) | −1.83147e11 | −0.304015 | −0.152008 | − | 0.988379i | \(-0.548574\pi\) | ||||
−0.152008 | + | 0.988379i | \(0.548574\pi\) | |||||||
\(882\) | −5.82991e10 | − | 6.58017e10i | −0.0963358 | − | 0.108733i | ||||
\(883\) | −4.49704e11 | + | 4.49704e11i | −0.739748 | + | 0.739748i | −0.972529 | − | 0.232781i | \(-0.925217\pi\) |
0.232781 | + | 0.972529i | \(0.425217\pi\) | |||||||
\(884\) | 1.27112e10 | − | 9.95996e9i | 0.0208150 | − | 0.0163098i | ||||
\(885\) | −2.15346e11 | + | 2.15346e11i | −0.351046 | + | 0.351046i | ||||
\(886\) | 4.81370e11 | + | 2.91013e10i | 0.781167 | + | 0.0472256i | ||||
\(887\) | 6.24478e11 | 1.00884 | 0.504421 | − | 0.863458i | \(-0.331706\pi\) | ||||
0.504421 | + | 0.863458i | \(0.331706\pi\) | |||||||
\(888\) | −1.76937e11 | + | 1.22157e11i | −0.284555 | + | 0.196456i | ||||
\(889\) | − | 2.89694e11i | − | 0.463802i | ||||||
\(890\) | 1.97812e12 | + | 1.19588e11i | 3.15278 | + | 0.190602i | ||||
\(891\) | −5.56267e10 | − | 5.56267e10i | −0.0882617 | − | 0.0882617i | ||||
\(892\) | 1.20546e12 | + | 1.46287e11i | 1.90411 | + | 0.231071i | ||||
\(893\) | 6.33827e11 | + | 6.33827e11i | 0.996702 | + | 0.996702i | ||||
\(894\) | −1.37233e11 | − | 1.54893e11i | −0.214836 | − | 0.242483i | ||||
\(895\) | − | 1.13990e12i | − | 1.77654i | ||||||
\(896\) | −1.71774e11 | − | 4.52610e11i | −0.266518 | − | 0.702251i | ||||
\(897\) | 2.95459e11 | 0.456381 | ||||||||
\(898\) | −3.19973e11 | + | 2.83491e11i | −0.492049 | + | 0.435947i | ||||
\(899\) | −8.56397e11 | + | 8.56397e11i | −1.31110 | + | 1.31110i | ||||
\(900\) | −6.55148e10 | + | 5.39866e11i | −0.0998550 | + | 0.822842i | ||||
\(901\) | 2.51405e10 | − | 2.51405e10i | 0.0381483 | − | 0.0381483i | ||||
\(902\) | 2.66243e9 | − | 4.40397e10i | 0.00402209 | − | 0.0665301i | ||||
\(903\) | 3.02454e11 | 0.454892 | ||||||||
\(904\) | −2.22904e11 | − | 3.22863e11i | −0.333768 | − | 0.483441i | ||||
\(905\) | − | 5.87861e11i | − | 0.876356i | ||||||
\(906\) | 2.45381e10 | − | 4.05889e11i | 0.0364190 | − | 0.602413i | ||||
\(907\) | −7.97132e11 | − | 7.97132e11i | −1.17788 | − | 1.17788i | −0.980283 | − | 0.197597i | \(-0.936686\pi\) |
−0.197597 | − | 0.980283i | \(-0.563314\pi\) | |||||||
\(908\) | 4.77448e11 | + | 6.09334e11i | 0.702398 | + | 0.896420i | ||||
\(909\) | −2.02146e11 | − | 2.02146e11i | −0.296081 | − | 0.296081i | ||||
\(910\) | −4.83267e11 | + | 4.28166e11i | −0.704728 | + | 0.624377i | ||||
\(911\) | − | 7.91509e10i | − | 0.114916i | −0.998348 | − | 0.0574582i | \(-0.981700\pi\) | ||
0.998348 | − | 0.0574582i | \(-0.0182996\pi\) | |||||||
\(912\) | 8.26130e10 | − | 3.35368e11i | 0.119418 | − | 0.484777i | ||||
\(913\) | 6.52065e10 | 0.0938443 | ||||||||
\(914\) | 4.26496e11 | + | 4.81382e11i | 0.611125 | + | 0.689771i | ||||
\(915\) | 9.51943e11 | − | 9.51943e11i | 1.35808 | − | 1.35808i | ||||
\(916\) | −3.89100e11 | − | 4.96581e11i | −0.552688 | − | 0.705356i | ||||
\(917\) | −4.44657e11 | + | 4.44657e11i | −0.628851 | + | 0.628851i | ||||
\(918\) | −5.37402e9 | − | 3.24887e8i | −0.00756709 | − | 0.000457469i | ||||
\(919\) | −8.02866e11 | −1.12559 | −0.562796 | − | 0.826596i | \(-0.690274\pi\) | ||||
−0.562796 | + | 0.826596i | \(0.690274\pi\) | |||||||
\(920\) | 1.54938e12 | + | 2.83772e11i | 2.16275 | + | 0.396113i | ||||
\(921\) | 4.37445e10i | 0.0607974i | ||||||||
\(922\) | −1.26491e12 | − | 7.64705e10i | −1.75040 | − | 0.105821i | ||||
\(923\) | 2.00909e10 | + | 2.00909e10i | 0.0276817 | + | 0.0276817i | ||||
\(924\) | 4.27807e10 | − | 3.52529e11i | 0.0586895 | − | 0.483623i | ||||
\(925\) | 7.70956e11 | + | 7.70956e11i | 1.05308 | + | 1.05308i | ||||
\(926\) | −1.22370e11 | − | 1.38117e11i | −0.166429 | − | 0.187847i | ||||
\(927\) | 8.05972e9i | 0.0109144i | ||||||||
\(928\) | −1.27304e12 | − | 3.96460e11i | −1.71652 | − | 0.534574i | ||||
\(929\) | −3.06353e11 | −0.411301 | −0.205650 | − | 0.978626i | \(-0.565931\pi\) | ||||
−0.205650 | + | 0.978626i | \(0.565931\pi\) | |||||||
\(930\) | −6.22531e11 | + | 5.51551e11i | −0.832202 | + | 0.737317i | ||||
\(931\) | 2.00206e11 | − | 2.00206e11i | 0.266489 | − | 0.266489i | ||||
\(932\) | −3.69540e11 | − | 4.48451e10i | −0.489776 | − | 0.0594362i | ||||
\(933\) | −6.59590e9 | + | 6.59590e9i | −0.00870458 | + | 0.00870458i | ||||
\(934\) | 8.26955e10 | − | 1.36788e12i | 0.108666 | − | 1.79747i | ||||
\(935\) | 6.31513e10 | 0.0826297 | ||||||||
\(936\) | −1.68942e11 | − | 3.09423e10i | −0.220108 | − | 0.0403133i | ||||
\(937\) | 4.34977e11i | 0.564298i | 0.959371 | + | 0.282149i | \(0.0910472\pi\) | ||||
−0.959371 | + | 0.282149i | \(0.908953\pi\) | |||||||
\(938\) | −2.00206e10 | + | 3.31165e11i | −0.0258623 | + | 0.427793i | ||||
\(939\) | 2.62737e11 | + | 2.62737e11i | 0.337955 | + | 0.337955i | ||||
\(940\) | 1.87048e12 | − | 1.46563e12i | 2.39575 | − | 1.87721i | ||||
\(941\) | −6.39363e11 | − | 6.39363e11i | −0.815435 | − | 0.815435i | 0.170008 | − | 0.985443i | \(-0.445621\pi\) |
−0.985443 | + | 0.170008i | \(0.945621\pi\) | |||||||
\(942\) | −1.77596e11 | + | 1.57347e11i | −0.225543 | + | 0.199827i | ||||
\(943\) | − | 5.52451e10i | − | 0.0698630i | ||||||
\(944\) | −1.89232e11 | − | 3.12933e11i | −0.238290 | − | 0.394061i | ||||
\(945\) | 2.15259e11 | 0.269919 | ||||||||
\(946\) | −6.25837e11 | − | 7.06377e11i | −0.781442 | − | 0.882006i | ||||
\(947\) | 3.58891e11 | − | 3.58891e11i | 0.446234 | − | 0.446234i | −0.447866 | − | 0.894101i | \(-0.647816\pi\) |
0.894101 | + | 0.447866i | \(0.147816\pi\) | |||||||
\(948\) | 4.58546e11 | − | 3.59298e11i | 0.567740 | − | 0.444858i | ||||
\(949\) | −1.63815e11 | + | 1.63815e11i | −0.201971 | + | 0.201971i | ||||
\(950\) | −1.74827e12 | − | 1.05692e11i | −2.14642 | − | 0.129762i | ||||
\(951\) | −1.23416e11 | −0.150886 | ||||||||
\(952\) | −1.38078e10 | − | 1.99997e10i | −0.0168103 | − | 0.0243487i | ||||
\(953\) | − | 2.38302e11i | − | 0.288906i | −0.989512 | − | 0.144453i | \(-0.953858\pi\) | ||
0.989512 | − | 0.144453i | \(-0.0461422\pi\) | |||||||
\(954\) | −3.77457e11 | − | 2.28192e10i | −0.455694 | − | 0.0275491i | ||||
\(955\) | 2.02775e12 | + | 2.02775e12i | 2.43782 | + | 2.43782i | ||||
\(956\) | 1.32769e12 | + | 1.61120e11i | 1.58952 | + | 0.192894i | ||||
\(957\) | −6.91596e11 | − | 6.91596e11i | −0.824527 | − | 0.824527i | ||||
\(958\) | 2.14066e11 | + | 2.41614e11i | 0.254147 | + | 0.286854i | ||||
\(959\) | − | 4.70601e11i | − | 0.556388i | ||||||
\(960\) | −8.56209e11 | − | 3.24520e11i | −1.00808 | − | 0.382082i | ||||
\(961\) | −5.42938e10 | −0.0636585 | ||||||||
\(962\) | −2.57734e11 | + | 2.28348e11i | −0.300934 | + | 0.266623i | ||||
\(963\) | −1.71452e11 | + | 1.71452e11i | −0.199359 | + | 0.199359i | ||||
\(964\) | 2.40673e10 | − | 1.98324e11i | 0.0278689 | − | 0.229650i | ||||
\(965\) | 7.52951e11 | − | 7.52951e11i | 0.868276 | − | 0.868276i | ||||
\(966\) | 2.68329e10 | − | 4.43849e11i | 0.0308148 | − | 0.509714i | ||||
\(967\) | −3.15345e11 | −0.360646 | −0.180323 | − | 0.983607i | \(-0.557714\pi\) | ||||
−0.180323 | + | 0.983607i | \(0.557714\pi\) | |||||||
\(968\) | −1.89307e11 | + | 1.30697e11i | −0.215608 | + | 0.148856i | ||||
\(969\) | − | 1.73393e10i | − | 0.0196670i | ||||||
\(970\) | −3.59399e10 | + | 5.94488e11i | −0.0405966 | + | 0.671516i | ||||
\(971\) | 4.76364e11 | + | 4.76364e11i | 0.535873 | + | 0.535873i | 0.922314 | − | 0.386441i | \(-0.126296\pi\) |
−0.386441 | + | 0.922314i | \(0.626296\pi\) | |||||||
\(972\) | 3.53172e10 | + | 4.50729e10i | 0.0395659 | + | 0.0504952i | ||||
\(973\) | −9.66365e10 | − | 9.66365e10i | −0.107818 | − | 0.107818i | ||||
\(974\) | −1.00467e11 | + | 8.90122e10i | −0.111632 | + | 0.0989040i | ||||
\(975\) | 8.70946e11i | 0.963768i | ||||||||
\(976\) | 8.36506e11 | + | 1.38333e12i | 0.921870 | + | 1.52450i | ||||
\(977\) | 3.02281e11 | 0.331767 | 0.165884 | − | 0.986145i | \(-0.446952\pi\) | ||||
0.165884 | + | 0.986145i | \(0.446952\pi\) | |||||||
\(978\) | 2.41117e11 | + | 2.72146e11i | 0.263555 | + | 0.297472i | ||||
\(979\) | −1.23432e12 | + | 1.23432e12i | −1.34368 | + | 1.34368i | ||||
\(980\) | −4.62946e11 | − | 5.90826e11i | −0.501911 | − | 0.640553i | ||||
\(981\) | 2.69201e11 | − | 2.69201e11i | 0.290671 | − | 0.290671i | ||||
\(982\) | −7.88329e11 | − | 4.76586e10i | −0.847738 | − | 0.0512501i | ||||
\(983\) | 2.07599e11 | 0.222337 | 0.111169 | − | 0.993802i | \(-0.464541\pi\) | ||||
0.111169 | + | 0.993802i | \(0.464541\pi\) | |||||||
\(984\) | −5.78560e9 | + | 3.15890e10i | −0.00617118 | + | 0.0336942i | ||||
\(985\) | − | 3.01529e12i | − | 3.20320i | ||||||
\(986\) | −6.68142e10 | − | 4.03926e9i | −0.0706905 | − | 0.00427360i | ||||
\(987\) | −4.74340e11 | − | 4.74340e11i | −0.499829 | − | 0.499829i | ||||
\(988\) | 6.66382e10 | − | 5.49123e11i | 0.0699351 | − | 0.576291i | ||||
\(989\) | −8.35591e11 | − | 8.35591e11i | −0.873391 | − | 0.873391i | ||||
\(990\) | −4.45413e11 | − | 5.02734e11i | −0.463684 | − | 0.523356i | ||||
\(991\) | 1.37199e12i | 1.42252i | 0.702930 | + | 0.711259i | \(0.251875\pi\) | ||||
−0.702930 | + | 0.711259i | \(0.748125\pi\) | |||||||
\(992\) | −4.64281e11 | − | 8.84253e11i | −0.479440 | − | 0.913124i | ||||
\(993\) | 4.37426e11 | 0.449891 | ||||||||
\(994\) | 3.20059e10 | − | 2.83566e10i | 0.0327857 | − | 0.0290475i | ||||
\(995\) | −9.31125e11 | + | 9.31125e11i | −0.949983 | + | 0.949983i | ||||
\(996\) | −4.71173e10 | − | 5.71786e9i | −0.0478788 | − | 0.00581027i | ||||
\(997\) | 1.57772e11 | − | 1.57772e11i | 0.159679 | − | 0.159679i | −0.622745 | − | 0.782425i | \(-0.713983\pi\) |
0.782425 | + | 0.622745i | \(0.213983\pi\) | |||||||
\(998\) | −2.02888e10 | + | 3.35600e11i | −0.0204519 | + | 0.338298i | ||||
\(999\) | 1.14801e11 | 0.115261 |
(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 | 48.9.l.a.19.8 | ✓ | 64 | |
4.3 | odd | 2 | 192.9.l.a.175.1 | 64 | |||
16.5 | even | 4 | 192.9.l.a.79.1 | 64 | |||
16.11 | odd | 4 | inner | 48.9.l.a.43.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.9.l.a.19.8 | ✓ | 64 | 1.1 | even | 1 | trivial | |
48.9.l.a.43.8 | yes | 64 | 16.11 | odd | 4 | inner | |
192.9.l.a.79.1 | 64 | 16.5 | even | 4 | |||
192.9.l.a.175.1 | 64 | 4.3 | odd | 2 |