Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,30,Mod(4,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 30, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.4");
S:= CuspForms(chi, 30);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 30 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.e (of order \(3\), 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: | \(111.883889004\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.16 | ||
Character | \(\chi\) | \(=\) | 21.4 |
Dual form | 21.30.e.b.16.16 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 16123.2 | + | 27926.2i | 0.695851 | + | 1.20525i | 0.969893 | + | 0.243532i | \(0.0783060\pi\) |
−0.274042 | + | 0.961718i | \(0.588361\pi\) | |||||||
\(3\) | −2.39148e6 | + | 4.14217e6i | −0.288675 | + | 0.500000i | ||||
\(4\) | −2.51480e8 | + | 4.35576e8i | −0.468417 | + | 0.811323i | ||||
\(5\) | −4.30356e9 | − | 7.45399e9i | −0.315328 | − | 0.546165i | 0.664179 | − | 0.747574i | \(-0.268781\pi\) |
−0.979507 | + | 0.201409i | \(0.935448\pi\) | |||||||
\(6\) | −1.54234e11 | −0.803500 | ||||||||
\(7\) | 1.08632e12 | + | 1.42822e12i | 0.605390 | + | 0.795929i | ||||
\(8\) | 1.09353e12 | 0.0879072 | ||||||||
\(9\) | −1.14384e13 | − | 1.98119e13i | −0.166667 | − | 0.288675i | ||||
\(10\) | 1.38774e14 | − | 2.40364e14i | 0.438843 | − | 0.760099i | ||||
\(11\) | 1.91128e14 | − | 3.31044e14i | 0.151751 | − | 0.262840i | −0.780120 | − | 0.625630i | \(-0.784842\pi\) |
0.931871 | + | 0.362789i | \(0.118176\pi\) | |||||||
\(12\) | −1.20282e15 | − | 2.08334e15i | −0.270441 | − | 0.468417i | ||||
\(13\) | −2.12386e16 | −1.49606 | −0.748028 | − | 0.663668i | \(-0.768999\pi\) | ||||
−0.748028 | + | 0.663668i | \(0.768999\pi\) | |||||||
\(14\) | −2.23699e16 | + | 5.33642e16i | −0.538032 | + | 1.28349i | ||||
\(15\) | 4.11676e16 | 0.364110 | ||||||||
\(16\) | 1.52643e17 | + | 2.64386e17i | 0.529588 | + | 0.917273i | ||||
\(17\) | 4.33194e17 | − | 7.50314e17i | 0.623984 | − | 1.08077i | −0.364753 | − | 0.931104i | \(-0.618846\pi\) |
0.988736 | − | 0.149667i | \(-0.0478202\pi\) | |||||||
\(18\) | 3.68847e17 | − | 6.38862e17i | 0.231950 | − | 0.401750i | ||||
\(19\) | −1.45927e17 | − | 2.52753e17i | −0.0418994 | − | 0.0725719i | 0.844315 | − | 0.535847i | \(-0.180008\pi\) |
−0.886215 | + | 0.463275i | \(0.846674\pi\) | |||||||
\(20\) | 4.32904e18 | 0.590821 | ||||||||
\(21\) | −8.51386e18 | + | 1.08414e18i | −0.572726 | + | 0.0729301i | ||||
\(22\) | 1.23264e19 | 0.422384 | ||||||||
\(23\) | −3.34161e18 | − | 5.78784e18i | −0.0601038 | − | 0.104103i | 0.834408 | − | 0.551148i | \(-0.185810\pi\) |
−0.894512 | + | 0.447045i | \(0.852477\pi\) | |||||||
\(24\) | −2.61515e18 | + | 4.52957e18i | −0.0253766 | + | 0.0439536i | ||||
\(25\) | 5.60909e19 | − | 9.71523e19i | 0.301136 | − | 0.521583i | ||||
\(26\) | −3.42434e20 | − | 5.93114e20i | −1.04103 | − | 1.80312i | ||||
\(27\) | 1.09419e20 | 0.192450 | ||||||||
\(28\) | −8.95286e20 | + | 1.14005e20i | −0.929330 | + | 0.118340i | ||||
\(29\) | 1.48379e21 | 0.925979 | 0.462990 | − | 0.886364i | \(-0.346777\pi\) | ||||
0.462990 | + | 0.886364i | \(0.346777\pi\) | |||||||
\(30\) | 6.63754e20 | + | 1.14966e21i | 0.253366 | + | 0.438843i | ||||
\(31\) | 2.98473e21 | − | 5.16971e21i | 0.708209 | − | 1.22665i | −0.257313 | − | 0.966328i | \(-0.582837\pi\) |
0.965521 | − | 0.260325i | \(-0.0838297\pi\) | |||||||
\(32\) | −4.62865e21 | + | 8.01706e21i | −0.693075 | + | 1.20044i | ||||
\(33\) | 9.14161e20 | + | 1.58337e21i | 0.0876134 | + | 0.151751i | ||||
\(34\) | 2.79379e22 | 1.73680 | ||||||||
\(35\) | 5.97092e21 | − | 1.42439e22i | 0.243812 | − | 0.581622i | ||||
\(36\) | 1.15061e22 | 0.312278 | ||||||||
\(37\) | 9.54701e21 | + | 1.65359e22i | 0.174158 | + | 0.301650i | 0.939869 | − | 0.341534i | \(-0.110946\pi\) |
−0.765712 | + | 0.643184i | \(0.777613\pi\) | |||||||
\(38\) | 4.70561e21 | − | 8.15036e21i | 0.0583115 | − | 0.100998i | ||||
\(39\) | 5.07918e22 | − | 8.79740e22i | 0.431874 | − | 0.748028i | ||||
\(40\) | −4.70606e21 | − | 8.15113e21i | −0.0277196 | − | 0.0480118i | ||||
\(41\) | 3.44578e23 | 1.41880 | 0.709401 | − | 0.704805i | \(-0.248966\pi\) | ||||
0.709401 | + | 0.704805i | \(0.248966\pi\) | |||||||
\(42\) | −1.67547e23 | − | 2.20280e23i | −0.486431 | − | 0.639529i | ||||
\(43\) | −2.00037e23 | −0.412874 | −0.206437 | − | 0.978460i | \(-0.566187\pi\) | ||||
−0.206437 | + | 0.978460i | \(0.566187\pi\) | |||||||
\(44\) | 9.61298e22 | + | 1.66502e23i | 0.142166 | + | 0.246238i | ||||
\(45\) | −9.84517e22 | + | 1.70523e23i | −0.105109 | + | 0.182055i | ||||
\(46\) | 1.07755e23 | − | 1.86637e23i | 0.0836467 | − | 0.144880i | ||||
\(47\) | 4.11782e23 | + | 7.13227e23i | 0.234017 | + | 0.405330i | 0.958987 | − | 0.283451i | \(-0.0914794\pi\) |
−0.724969 | + | 0.688781i | \(0.758146\pi\) | |||||||
\(48\) | −1.46018e24 | −0.611515 | ||||||||
\(49\) | −8.59733e23 | + | 3.10301e24i | −0.267006 | + | 0.963695i | ||||
\(50\) | 3.61746e24 | 0.838183 | ||||||||
\(51\) | 2.07195e24 | + | 3.58873e24i | 0.360257 | + | 0.623984i | ||||
\(52\) | 5.34108e24 | − | 9.25102e24i | 0.700778 | − | 1.21378i | ||||
\(53\) | −7.51479e23 | + | 1.30160e24i | −0.0748026 | + | 0.129562i | −0.901000 | − | 0.433818i | \(-0.857166\pi\) |
0.826198 | + | 0.563380i | \(0.190499\pi\) | |||||||
\(54\) | 1.76418e24 | + | 3.05566e24i | 0.133917 | + | 0.231950i | ||||
\(55\) | −3.29013e24 | −0.191406 | ||||||||
\(56\) | 1.18792e24 | + | 1.56180e24i | 0.0532181 | + | 0.0699679i | ||||
\(57\) | 1.39593e24 | 0.0483812 | ||||||||
\(58\) | 2.39234e25 | + | 4.14366e25i | 0.644344 | + | 1.11604i | ||||
\(59\) | 3.52055e25 | − | 6.09778e25i | 0.740043 | − | 1.28179i | −0.212432 | − | 0.977176i | \(-0.568139\pi\) |
0.952475 | − | 0.304616i | \(-0.0985281\pi\) | |||||||
\(60\) | −1.03528e25 | + | 1.79316e25i | −0.170555 | + | 0.295411i | ||||
\(61\) | 6.09956e25 | + | 1.05647e26i | 0.790708 | + | 1.36955i | 0.925529 | + | 0.378676i | \(0.123620\pi\) |
−0.134822 | + | 0.990870i | \(0.543046\pi\) | |||||||
\(62\) | 1.92494e26 | 1.97123 | ||||||||
\(63\) | 1.58700e25 | − | 3.78586e25i | 0.128867 | − | 0.307416i | ||||
\(64\) | −1.34615e26 | −0.869932 | ||||||||
\(65\) | 9.14017e25 | + | 1.58312e26i | 0.471749 | + | 0.817093i | ||||
\(66\) | −2.94784e25 | + | 5.10581e25i | −0.121932 | + | 0.211192i | ||||
\(67\) | −1.37929e26 | + | 2.38901e26i | −0.458746 | + | 0.794571i | −0.998895 | − | 0.0469981i | \(-0.985035\pi\) |
0.540149 | + | 0.841569i | \(0.318368\pi\) | |||||||
\(68\) | 2.17879e26 | + | 3.77378e26i | 0.584570 | + | 1.01250i | ||||
\(69\) | 3.19656e25 | 0.0694019 | ||||||||
\(70\) | 4.94047e26 | − | 6.29113e25i | 0.870656 | − | 0.110868i | ||||
\(71\) | −1.41244e26 | −0.202639 | −0.101320 | − | 0.994854i | \(-0.532306\pi\) | ||||
−0.101320 | + | 0.994854i | \(0.532306\pi\) | |||||||
\(72\) | −1.25082e25 | − | 2.16648e25i | −0.0146512 | − | 0.0253766i | ||||
\(73\) | 1.32787e26 | − | 2.29994e26i | 0.127343 | − | 0.220565i | −0.795303 | − | 0.606212i | \(-0.792688\pi\) |
0.922646 | + | 0.385647i | \(0.126022\pi\) | |||||||
\(74\) | −3.07857e26 | + | 5.33223e26i | −0.242375 | + | 0.419807i | ||||
\(75\) | 2.68281e26 | + | 4.64677e26i | 0.173861 | + | 0.301136i | ||||
\(76\) | 1.46790e26 | 0.0785056 | ||||||||
\(77\) | 6.80431e26 | − | 8.66452e25i | 0.301071 | − | 0.0383380i | ||||
\(78\) | 3.27571e27 | 1.20208 | ||||||||
\(79\) | 2.34718e26 | + | 4.06543e26i | 0.0716067 | + | 0.124026i | 0.899606 | − | 0.436703i | \(-0.143854\pi\) |
−0.827999 | + | 0.560730i | \(0.810521\pi\) | |||||||
\(80\) | 1.31382e27 | − | 2.27560e27i | 0.333988 | − | 0.578484i | ||||
\(81\) | −2.61674e26 | + | 4.53232e26i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 5.55570e27 | + | 9.62275e27i | 0.987274 | + | 1.71001i | ||||
\(83\) | 3.52927e27 | 0.526081 | 0.263040 | − | 0.964785i | \(-0.415275\pi\) | ||||
0.263040 | + | 0.964785i | \(0.415275\pi\) | |||||||
\(84\) | 1.66884e27 | − | 3.98107e27i | 0.209105 | − | 0.498827i | ||||
\(85\) | −7.45712e27 | −0.787039 | ||||||||
\(86\) | −3.22524e27 | − | 5.58628e27i | −0.287299 | − | 0.497617i | ||||
\(87\) | −3.54846e27 | + | 6.14611e27i | −0.267307 | + | 0.462990i | ||||
\(88\) | 2.09004e26 | − | 3.62005e26i | 0.0133400 | − | 0.0231055i | ||||
\(89\) | −1.44289e28 | − | 2.49916e28i | −0.781767 | − | 1.35406i | −0.930911 | − | 0.365245i | \(-0.880985\pi\) |
0.149144 | − | 0.988815i | \(-0.452348\pi\) | |||||||
\(90\) | −6.34943e27 | −0.292562 | ||||||||
\(91\) | −2.30719e28 | − | 3.03335e28i | −0.905697 | − | 1.19075i | ||||
\(92\) | 3.36139e27 | 0.112615 | ||||||||
\(93\) | 1.42759e28 | + | 2.47266e28i | 0.408884 | + | 0.708209i | ||||
\(94\) | −1.32785e28 | + | 2.29990e28i | −0.325683 | + | 0.564099i | ||||
\(95\) | −1.25601e27 | + | 2.17547e27i | −0.0264241 | + | 0.0457680i | ||||
\(96\) | −2.21387e28 | − | 3.83454e28i | −0.400147 | − | 0.693075i | ||||
\(97\) | −1.14143e29 | −1.77524 | −0.887622 | − | 0.460573i | \(-0.847644\pi\) | ||||
−0.887622 | + | 0.460573i | \(0.847644\pi\) | |||||||
\(98\) | −1.00517e29 | + | 2.60213e28i | −1.34729 | + | 0.348780i | ||||
\(99\) | −8.74481e27 | −0.101167 | ||||||||
\(100\) | 2.82115e28 | + | 4.88637e28i | 0.282115 | + | 0.488637i | ||||
\(101\) | 6.36442e28 | − | 1.10235e29i | 0.550934 | − | 0.954245i | −0.447274 | − | 0.894397i | \(-0.647605\pi\) |
0.998208 | − | 0.0598479i | \(-0.0190616\pi\) | |||||||
\(102\) | −6.68131e28 | + | 1.15724e29i | −0.501371 | + | 0.868399i | ||||
\(103\) | 1.05641e29 | + | 1.82976e29i | 0.688166 | + | 1.19194i | 0.972431 | + | 0.233193i | \(0.0749172\pi\) |
−0.284265 | + | 0.958746i | \(0.591749\pi\) | |||||||
\(104\) | −2.32250e28 | −0.131514 | ||||||||
\(105\) | 4.47211e28 | + | 5.87965e28i | 0.220429 | + | 0.289806i | ||||
\(106\) | −4.84650e28 | −0.208206 | ||||||||
\(107\) | −1.92141e28 | − | 3.32797e28i | −0.0720368 | − | 0.124771i | 0.827757 | − | 0.561087i | \(-0.189617\pi\) |
−0.899794 | + | 0.436315i | \(0.856283\pi\) | |||||||
\(108\) | −2.75167e28 | + | 4.76602e28i | −0.0901470 | + | 0.156139i | ||||
\(109\) | 1.31391e29 | − | 2.27577e29i | 0.376602 | − | 0.652294i | −0.613963 | − | 0.789334i | \(-0.710426\pi\) |
0.990565 | + | 0.137041i | \(0.0437591\pi\) | |||||||
\(110\) | −5.30475e28 | − | 9.18809e28i | −0.133190 | − | 0.230691i | ||||
\(111\) | −9.13261e28 | −0.201100 | ||||||||
\(112\) | −2.11783e29 | + | 5.05216e29i | −0.409477 | + | 0.976822i | ||||
\(113\) | 9.53492e29 | 1.62061 | 0.810307 | − | 0.586005i | \(-0.199300\pi\) | ||||
0.810307 | + | 0.586005i | \(0.199300\pi\) | |||||||
\(114\) | 2.25068e28 | + | 3.89829e28i | 0.0336661 | + | 0.0583115i | ||||
\(115\) | −2.87617e28 | + | 4.98167e28i | −0.0379049 | + | 0.0656532i | ||||
\(116\) | −3.73143e29 | + | 6.46302e29i | −0.433745 | + | 0.751268i | ||||
\(117\) | 2.42936e29 | + | 4.20777e29i | 0.249343 | + | 0.431874i | ||||
\(118\) | 2.27050e30 | 2.05984 | ||||||||
\(119\) | 1.54220e30 | − | 1.96382e29i | 1.23797 | − | 0.157642i | ||||
\(120\) | 4.50179e28 | 0.0320079 | ||||||||
\(121\) | 7.20095e29 | + | 1.24724e30i | 0.453943 | + | 0.786253i | ||||
\(122\) | −1.96689e30 | + | 3.40675e30i | −1.10043 | + | 1.90600i | ||||
\(123\) | −8.24053e29 | + | 1.42730e30i | −0.409573 | + | 0.709401i | ||||
\(124\) | 1.50120e30 | + | 2.60015e30i | 0.663474 | + | 1.14917i | ||||
\(125\) | −2.56877e30 | −1.01048 | ||||||||
\(126\) | 1.31312e30 | − | 1.67211e29i | 0.460185 | − | 0.0585993i | ||||
\(127\) | −2.20226e30 | −0.688199 | −0.344099 | − | 0.938933i | \(-0.611816\pi\) | ||||
−0.344099 | + | 0.938933i | \(0.611816\pi\) | |||||||
\(128\) | 3.14559e29 | + | 5.44832e29i | 0.0877318 | + | 0.151956i | ||||
\(129\) | 4.78386e29 | − | 8.28588e29i | 0.119187 | − | 0.206437i | ||||
\(130\) | −2.94738e30 | + | 5.10501e30i | −0.656534 | + | 1.13715i | ||||
\(131\) | 4.70025e30 | + | 8.14107e30i | 0.936887 | + | 1.62274i | 0.771235 | + | 0.636551i | \(0.219639\pi\) |
0.165652 | + | 0.986184i | \(0.447027\pi\) | |||||||
\(132\) | −9.19572e29 | −0.164159 | ||||||||
\(133\) | 2.02464e29 | − | 4.82985e29i | 0.0323966 | − | 0.0772832i | ||||
\(134\) | −8.89545e30 | −1.27688 | ||||||||
\(135\) | −4.70892e29 | − | 8.15608e29i | −0.0606850 | − | 0.105109i | ||||
\(136\) | 4.73709e29 | − | 8.20488e29i | 0.0548526 | − | 0.0950076i | ||||
\(137\) | −2.77604e30 | + | 4.80824e30i | −0.289053 | + | 0.500654i | −0.973584 | − | 0.228330i | \(-0.926674\pi\) |
0.684531 | + | 0.728983i | \(0.260007\pi\) | |||||||
\(138\) | 5.15388e29 | + | 8.92679e29i | 0.0482934 | + | 0.0836467i | ||||
\(139\) | 4.29631e29 | 0.0362561 | 0.0181280 | − | 0.999836i | \(-0.494229\pi\) | ||||
0.0181280 | + | 0.999836i | \(0.494229\pi\) | |||||||
\(140\) | 4.70271e30 | + | 6.18283e30i | 0.357677 | + | 0.470252i | ||||
\(141\) | −3.93908e30 | −0.270220 | ||||||||
\(142\) | −2.27730e30 | − | 3.94440e30i | −0.141007 | − | 0.244231i | ||||
\(143\) | −4.05930e30 | + | 7.03092e30i | −0.227028 | + | 0.393224i | ||||
\(144\) | 3.49199e30 | − | 6.04830e30i | 0.176529 | − | 0.305758i | ||||
\(145\) | −6.38558e30 | − | 1.10602e31i | −0.291988 | − | 0.505738i | ||||
\(146\) | 8.56382e30 | 0.354447 | ||||||||
\(147\) | −1.07972e31 | − | 1.09820e31i | −0.404770 | − | 0.411698i | ||||
\(148\) | −9.60351e30 | −0.326314 | ||||||||
\(149\) | 1.35885e31 | + | 2.35360e31i | 0.418766 | + | 0.725323i | 0.995816 | − | 0.0913855i | \(-0.0291295\pi\) |
−0.577050 | + | 0.816709i | \(0.695796\pi\) | |||||||
\(150\) | −8.65110e30 | + | 1.49841e31i | −0.241963 | + | 0.419091i | ||||
\(151\) | −3.31437e31 | + | 5.74066e31i | −0.841852 | + | 1.45813i | 0.0464761 | + | 0.998919i | \(0.485201\pi\) |
−0.888328 | + | 0.459210i | \(0.848132\pi\) | |||||||
\(152\) | −1.59575e29 | − | 2.76391e29i | −0.00368326 | − | 0.00637959i | ||||
\(153\) | −1.98202e31 | −0.415989 | ||||||||
\(154\) | 1.33904e31 | + | 1.76048e31i | 0.255707 | + | 0.336188i | ||||
\(155\) | −5.13800e31 | −0.893273 | ||||||||
\(156\) | 2.55462e31 | + | 4.42474e31i | 0.404594 | + | 0.700778i | ||||
\(157\) | 4.64808e31 | − | 8.05071e31i | 0.671009 | − | 1.16222i | −0.306609 | − | 0.951835i | \(-0.599194\pi\) |
0.977618 | − | 0.210386i | \(-0.0674722\pi\) | |||||||
\(158\) | −7.56881e30 | + | 1.31096e31i | −0.0996552 | + | 0.172608i | ||||
\(159\) | −3.59430e30 | − | 6.22551e30i | −0.0431873 | − | 0.0748026i | ||||
\(160\) | 7.96788e31 | 0.874185 | ||||||||
\(161\) | 4.63627e30 | − | 1.10600e31i | 0.0464723 | − | 0.110861i | ||||
\(162\) | −1.68761e31 | −0.154634 | ||||||||
\(163\) | 4.82552e30 | + | 8.35805e30i | 0.0404412 | + | 0.0700463i | 0.885538 | − | 0.464568i | \(-0.153790\pi\) |
−0.845096 | + | 0.534614i | \(0.820457\pi\) | |||||||
\(164\) | −8.66544e31 | + | 1.50090e32i | −0.664591 | + | 1.15111i | ||||
\(165\) | 7.86830e30 | − | 1.36283e31i | 0.0552540 | − | 0.0957028i | ||||
\(166\) | 5.69031e31 | + | 9.85591e31i | 0.366074 | + | 0.634059i | ||||
\(167\) | −5.43510e30 | −0.0320493 | −0.0160246 | − | 0.999872i | \(-0.505101\pi\) | ||||
−0.0160246 | + | 0.999872i | \(0.505101\pi\) | |||||||
\(168\) | −9.31012e30 | + | 1.18554e30i | −0.0503467 | + | 0.00641108i | ||||
\(169\) | 2.49541e32 | 1.23818 | ||||||||
\(170\) | −1.20233e32 | − | 2.08249e32i | −0.547662 | − | 0.948579i | ||||
\(171\) | −3.33834e30 | + | 5.78217e30i | −0.0139665 | + | 0.0241906i | ||||
\(172\) | 5.03053e31 | − | 8.71313e31i | 0.193398 | − | 0.334974i | ||||
\(173\) | 1.14057e32 | + | 1.97553e32i | 0.403139 | + | 0.698257i | 0.994103 | − | 0.108441i | \(-0.0345858\pi\) |
−0.590964 | + | 0.806698i | \(0.701252\pi\) | |||||||
\(174\) | −2.28850e32 | −0.744024 | ||||||||
\(175\) | 1.99688e32 | − | 2.54280e31i | 0.597447 | − | 0.0760782i | ||||
\(176\) | 1.16698e32 | 0.321462 | ||||||||
\(177\) | 1.68387e32 | + | 2.91655e32i | 0.427264 | + | 0.740043i | ||||
\(178\) | 4.65279e32 | − | 8.05888e32i | 1.08799 | − | 1.88445i | ||||
\(179\) | −2.64538e32 | + | 4.58194e32i | −0.570321 | + | 0.987826i | 0.426211 | + | 0.904624i | \(0.359848\pi\) |
−0.996533 | + | 0.0832021i | \(0.973485\pi\) | |||||||
\(180\) | −4.95172e31 | − | 8.57663e31i | −0.0984702 | − | 0.170555i | ||||
\(181\) | 5.34778e32 | 0.981373 | 0.490686 | − | 0.871336i | \(-0.336746\pi\) | ||||
0.490686 | + | 0.871336i | \(0.336746\pi\) | |||||||
\(182\) | 4.75106e32 | − | 1.13338e33i | 0.804925 | − | 1.92018i | ||||
\(183\) | −5.83480e32 | −0.913031 | ||||||||
\(184\) | −3.65414e30 | − | 6.32915e30i | −0.00528356 | − | 0.00915139i | ||||
\(185\) | 8.21723e31 | − | 1.42327e32i | 0.109834 | − | 0.190238i | ||||
\(186\) | −4.60346e32 | + | 7.97343e32i | −0.569045 | + | 0.985615i | ||||
\(187\) | −1.65591e32 | − | 2.86813e32i | −0.189380 | − | 0.328016i | ||||
\(188\) | −4.14219e32 | −0.438471 | ||||||||
\(189\) | 1.18864e32 | + | 1.56275e32i | 0.116507 | + | 0.153177i | ||||
\(190\) | −8.10036e31 | −0.0735491 | ||||||||
\(191\) | −7.65411e32 | − | 1.32573e33i | −0.644037 | − | 1.11550i | −0.984523 | − | 0.175255i | \(-0.943925\pi\) |
0.340486 | − | 0.940250i | \(-0.389408\pi\) | |||||||
\(192\) | 3.21931e32 | − | 5.57600e32i | 0.251128 | − | 0.434966i | ||||
\(193\) | 5.93227e32 | − | 1.02750e33i | 0.429181 | − | 0.743363i | −0.567620 | − | 0.823291i | \(-0.692136\pi\) |
0.996801 | + | 0.0799280i | \(0.0254690\pi\) | |||||||
\(194\) | −1.84035e33 | − | 3.18757e33i | −1.23531 | − | 2.13961i | ||||
\(195\) | −8.74343e32 | −0.544729 | ||||||||
\(196\) | −1.13539e33 | − | 1.15482e33i | −0.656797 | − | 0.668039i | ||||
\(197\) | −5.31295e32 | −0.285480 | −0.142740 | − | 0.989760i | \(-0.545591\pi\) | ||||
−0.142740 | + | 0.989760i | \(0.545591\pi\) | |||||||
\(198\) | −1.40994e32 | − | 2.44209e32i | −0.0703974 | − | 0.121932i | ||||
\(199\) | 5.44121e32 | − | 9.42446e32i | 0.252538 | − | 0.437408i | −0.711686 | − | 0.702498i | \(-0.752068\pi\) |
0.964224 | + | 0.265090i | \(0.0854015\pi\) | |||||||
\(200\) | 6.13369e31 | − | 1.06239e32i | 0.0264720 | − | 0.0458509i | ||||
\(201\) | −6.59712e32 | − | 1.14265e33i | −0.264857 | − | 0.458746i | ||||
\(202\) | 4.10460e33 | 1.53347 | ||||||||
\(203\) | 1.61187e33 | + | 2.11918e33i | 0.560579 | + | 0.737014i | ||||
\(204\) | −2.08422e33 | −0.675003 | ||||||||
\(205\) | −1.48291e33 | − | 2.56848e33i | −0.447388 | − | 0.774900i | ||||
\(206\) | −3.40655e33 | + | 5.90031e33i | −0.957722 | + | 1.65882i | ||||
\(207\) | −7.64453e31 | + | 1.32407e32i | −0.0200346 | + | 0.0347010i | ||||
\(208\) | −3.24193e33 | − | 5.61519e33i | −0.792292 | − | 1.37229i | ||||
\(209\) | −1.11563e32 | −0.0254331 | ||||||||
\(210\) | −9.20916e32 | + | 2.19688e33i | −0.195903 | + | 0.467333i | ||||
\(211\) | 7.86742e33 | 1.56220 | 0.781100 | − | 0.624406i | \(-0.214659\pi\) | ||||
0.781100 | + | 0.624406i | \(0.214659\pi\) | |||||||
\(212\) | −3.77963e32 | − | 6.54651e32i | −0.0700777 | − | 0.121378i | ||||
\(213\) | 3.37782e32 | − | 5.85056e32i | 0.0584969 | − | 0.101320i | ||||
\(214\) | 6.19584e32 | − | 1.07315e33i | 0.100254 | − | 0.173645i | ||||
\(215\) | 8.60872e32 | + | 1.49107e33i | 0.130191 | + | 0.225498i | ||||
\(216\) | 1.19653e32 | 0.0169177 | ||||||||
\(217\) | 1.06259e34 | − | 1.35308e33i | 1.40507 | − | 0.178920i | ||||
\(218\) | 8.47380e33 | 1.04824 | ||||||||
\(219\) | 6.35118e32 | + | 1.10006e33i | 0.0735215 | + | 0.127343i | ||||
\(220\) | 8.27402e32 | − | 1.43310e33i | 0.0896577 | − | 0.155292i | ||||
\(221\) | −9.20044e33 | + | 1.59356e34i | −0.933514 | + | 1.61689i | ||||
\(222\) | −1.47247e33 | − | 2.55039e33i | −0.139936 | − | 0.242375i | ||||
\(223\) | 4.59932e33 | 0.409519 | 0.204759 | − | 0.978812i | \(-0.434359\pi\) | ||||
0.204759 | + | 0.978812i | \(0.434359\pi\) | |||||||
\(224\) | −1.64783e34 | + | 2.09833e33i | −1.37505 | + | 0.175097i | ||||
\(225\) | −2.56636e33 | −0.200757 | ||||||||
\(226\) | 1.53733e34 | + | 2.66274e34i | 1.12771 | + | 1.95325i | ||||
\(227\) | −1.59935e33 | + | 2.77015e33i | −0.110044 | + | 0.190602i | −0.915788 | − | 0.401662i | \(-0.868433\pi\) |
0.805744 | + | 0.592265i | \(0.201766\pi\) | |||||||
\(228\) | −3.51047e32 | + | 6.08031e32i | −0.0226626 | + | 0.0392528i | ||||
\(229\) | −3.58104e33 | − | 6.20255e33i | −0.216968 | − | 0.375799i | 0.736912 | − | 0.675989i | \(-0.236283\pi\) |
−0.953879 | + | 0.300190i | \(0.902950\pi\) | |||||||
\(230\) | −1.85492e33 | −0.105505 | ||||||||
\(231\) | −1.26834e33 | + | 3.02567e33i | −0.0677426 | + | 0.161603i | ||||
\(232\) | 1.62256e33 | 0.0814002 | ||||||||
\(233\) | −6.83350e33 | − | 1.18360e34i | −0.322094 | − | 0.557883i | 0.658826 | − | 0.752295i | \(-0.271053\pi\) |
−0.980920 | + | 0.194412i | \(0.937720\pi\) | |||||||
\(234\) | −7.83380e33 | + | 1.35685e34i | −0.347011 | + | 0.601040i | ||||
\(235\) | 3.54426e33 | − | 6.13884e33i | 0.147585 | − | 0.255624i | ||||
\(236\) | 1.77070e34 | + | 3.06693e34i | 0.693298 | + | 1.20083i | ||||
\(237\) | −2.24530e33 | −0.0826843 | ||||||||
\(238\) | 3.03494e34 | + | 3.99015e34i | 1.05144 | + | 1.38237i | ||||
\(239\) | 5.30769e34 | 1.73036 | 0.865179 | − | 0.501463i | \(-0.167205\pi\) | ||||
0.865179 | + | 0.501463i | \(0.167205\pi\) | |||||||
\(240\) | 6.28396e33 | + | 1.08841e34i | 0.192828 | + | 0.333988i | ||||
\(241\) | 1.84213e34 | − | 3.19067e34i | 0.532199 | − | 0.921795i | −0.467094 | − | 0.884207i | \(-0.654699\pi\) |
0.999293 | − | 0.0375880i | \(-0.0119675\pi\) | |||||||
\(242\) | −2.32205e34 | + | 4.02190e34i | −0.631754 | + | 1.09423i | ||||
\(243\) | −1.25158e33 | − | 2.16780e33i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −6.13566e34 | −1.48152 | ||||||||
\(245\) | 2.68297e34 | − | 6.94554e33i | 0.610531 | − | 0.158051i | ||||
\(246\) | −5.31455e34 | −1.14001 | ||||||||
\(247\) | 3.09928e33 | + | 5.36811e33i | 0.0626838 | + | 0.108572i | ||||
\(248\) | 3.26388e33 | − | 5.65321e33i | 0.0622566 | − | 0.107832i | ||||
\(249\) | −8.44019e33 | + | 1.46188e34i | −0.151866 | + | 0.263040i | ||||
\(250\) | −4.14167e34 | − | 7.17359e34i | −0.703146 | − | 1.21789i | ||||
\(251\) | −6.01123e34 | −0.963152 | −0.481576 | − | 0.876404i | \(-0.659935\pi\) | ||||
−0.481576 | + | 0.876404i | \(0.659935\pi\) | |||||||
\(252\) | 1.24993e34 | + | 1.64333e34i | 0.189050 | + | 0.248551i | ||||
\(253\) | −2.55471e33 | −0.0364833 | ||||||||
\(254\) | −3.55074e34 | − | 6.15007e34i | −0.478884 | − | 0.829451i | ||||
\(255\) | 1.78336e34 | − | 3.08887e34i | 0.227199 | − | 0.393520i | ||||
\(256\) | −4.62789e34 | + | 8.01575e34i | −0.557062 | + | 0.964860i | ||||
\(257\) | −1.94791e34 | − | 3.37388e34i | −0.221584 | − | 0.383795i | 0.733705 | − | 0.679468i | \(-0.237789\pi\) |
−0.955289 | + | 0.295673i | \(0.904456\pi\) | |||||||
\(258\) | 3.08524e34 | 0.331744 | ||||||||
\(259\) | −1.32459e34 | + | 3.15985e34i | −0.134658 | + | 0.321233i | ||||
\(260\) | −9.19427e34 | −0.883901 | ||||||||
\(261\) | −1.69722e34 | − | 2.93967e34i | −0.154330 | − | 0.267307i | ||||
\(262\) | −1.51566e35 | + | 2.62520e35i | −1.30387 | + | 2.25836i | ||||
\(263\) | 4.60626e33 | − | 7.97827e33i | 0.0374964 | − | 0.0649457i | −0.846668 | − | 0.532121i | \(-0.821395\pi\) |
0.884165 | + | 0.467176i | \(0.154728\pi\) | |||||||
\(264\) | 9.99659e32 | + | 1.73146e33i | 0.00770185 | + | 0.0133400i | ||||
\(265\) | 1.29361e34 | 0.0943495 | ||||||||
\(266\) | 1.67523e34 | − | 2.13322e33i | 0.115689 | − | 0.0147317i | ||||
\(267\) | 1.38026e35 | 0.902707 | ||||||||
\(268\) | −6.93729e34 | − | 1.20157e35i | −0.429769 | − | 0.744382i | ||||
\(269\) | 7.60184e34 | − | 1.31668e35i | 0.446181 | − | 0.772808i | −0.551953 | − | 0.833875i | \(-0.686117\pi\) |
0.998134 | + | 0.0610676i | \(0.0194505\pi\) | |||||||
\(270\) | 1.51846e34 | − | 2.63004e34i | 0.0844554 | − | 0.146281i | ||||
\(271\) | 5.12603e34 | + | 8.87855e34i | 0.270226 | + | 0.468045i | 0.968920 | − | 0.247376i | \(-0.0795684\pi\) |
−0.698694 | + | 0.715421i | \(0.746235\pi\) | |||||||
\(272\) | 2.64497e35 | 1.32182 | ||||||||
\(273\) | 1.80823e35 | − | 2.30257e34i | 0.856829 | − | 0.109108i | ||||
\(274\) | −1.79034e35 | −0.804550 | ||||||||
\(275\) | −2.14411e34 | − | 3.71371e34i | −0.0913953 | − | 0.158301i | ||||
\(276\) | −8.03871e33 | + | 1.39235e34i | −0.0325091 | + | 0.0563074i | ||||
\(277\) | 1.86730e35 | − | 3.23426e35i | 0.716567 | − | 1.24113i | −0.245785 | − | 0.969324i | \(-0.579046\pi\) |
0.962352 | − | 0.271807i | \(-0.0876211\pi\) | |||||||
\(278\) | 6.92702e33 | + | 1.19980e34i | 0.0252288 | + | 0.0436976i | ||||
\(279\) | −1.36562e35 | −0.472139 | ||||||||
\(280\) | 6.52936e33 | − | 1.55760e34i | 0.0214328 | − | 0.0511287i | ||||
\(281\) | 5.83009e35 | 1.81733 | 0.908664 | − | 0.417528i | \(-0.137103\pi\) | ||||
0.908664 | + | 0.417528i | \(0.137103\pi\) | |||||||
\(282\) | −6.35106e34 | − | 1.10004e35i | −0.188033 | − | 0.325683i | ||||
\(283\) | 5.76295e34 | − | 9.98173e34i | 0.162085 | − | 0.280739i | −0.773532 | − | 0.633758i | \(-0.781512\pi\) |
0.935616 | + | 0.353019i | \(0.114845\pi\) | |||||||
\(284\) | 3.55199e34 | − | 6.15224e34i | 0.0949197 | − | 0.164406i | ||||
\(285\) | −6.00746e33 | − | 1.04052e34i | −0.0152560 | − | 0.0264241i | ||||
\(286\) | −2.61796e35 | −0.631910 | ||||||||
\(287\) | 3.74321e35 | + | 4.92134e35i | 0.858928 | + | 1.12926i | ||||
\(288\) | 2.11778e35 | 0.462050 | ||||||||
\(289\) | −1.34330e35 | − | 2.32667e35i | −0.278711 | − | 0.482742i | ||||
\(290\) | 2.05912e35 | − | 3.56650e35i | 0.406360 | − | 0.703836i | ||||
\(291\) | 2.72971e35 | − | 4.72799e35i | 0.512469 | − | 0.887622i | ||||
\(292\) | 6.67866e34 | + | 1.15678e35i | 0.119299 | + | 0.206633i | ||||
\(293\) | 4.21068e35 | 0.715767 | 0.357884 | − | 0.933766i | \(-0.383498\pi\) | ||||
0.357884 | + | 0.933766i | \(0.383498\pi\) | |||||||
\(294\) | 1.32600e35 | − | 4.78588e35i | 0.214539 | − | 0.774328i | ||||
\(295\) | −6.06037e35 | −0.933426 | ||||||||
\(296\) | 1.04399e34 | + | 1.80824e34i | 0.0153097 | + | 0.0265172i | ||||
\(297\) | 2.09131e34 | − | 3.62225e34i | 0.0292045 | − | 0.0505836i | ||||
\(298\) | −4.38181e35 | + | 7.58951e35i | −0.582797 | + | 1.00943i | ||||
\(299\) | 7.09712e34 | + | 1.22926e35i | 0.0899187 | + | 0.155744i | ||||
\(300\) | −2.69869e35 | −0.325758 | ||||||||
\(301\) | −2.17304e35 | − | 2.85697e35i | −0.249950 | − | 0.328619i | ||||
\(302\) | −2.13753e36 | −2.34321 | ||||||||
\(303\) | 3.04408e35 | + | 5.27251e35i | 0.318082 | + | 0.550934i | ||||
\(304\) | 4.45495e34 | − | 7.71619e34i | 0.0443788 | − | 0.0768663i | ||||
\(305\) | 5.24997e35 | − | 9.09321e35i | 0.498665 | − | 0.863714i | ||||
\(306\) | −3.19565e35 | − | 5.53503e35i | −0.289466 | − | 0.501371i | ||||
\(307\) | −5.66193e35 | −0.489168 | −0.244584 | − | 0.969628i | \(-0.578651\pi\) | ||||
−0.244584 | + | 0.969628i | \(0.578651\pi\) | |||||||
\(308\) | −1.33374e35 | + | 3.18169e35i | −0.109922 | + | 0.262224i | ||||
\(309\) | −1.01056e36 | −0.794626 | ||||||||
\(310\) | −8.28410e35 | − | 1.43485e36i | −0.621585 | − | 1.07662i | ||||
\(311\) | −1.40947e35 | + | 2.44127e35i | −0.100932 | + | 0.174820i | −0.912069 | − | 0.410037i | \(-0.865516\pi\) |
0.811137 | + | 0.584856i | \(0.198849\pi\) | |||||||
\(312\) | 5.55422e34 | − | 9.62019e34i | 0.0379648 | − | 0.0657570i | ||||
\(313\) | −5.87285e35 | − | 1.01721e36i | −0.383227 | − | 0.663769i | 0.608294 | − | 0.793711i | \(-0.291854\pi\) |
−0.991521 | + | 0.129943i | \(0.958521\pi\) | |||||||
\(314\) | 2.99768e36 | 1.86769 | ||||||||
\(315\) | −3.50495e35 | + | 4.46316e34i | −0.208535 | + | 0.0265546i | ||||
\(316\) | −2.36107e35 | −0.134167 | ||||||||
\(317\) | −6.54402e35 | − | 1.13346e36i | −0.355210 | − | 0.615242i | 0.631944 | − | 0.775014i | \(-0.282257\pi\) |
−0.987154 | + | 0.159772i | \(0.948924\pi\) | |||||||
\(318\) | 1.15903e35 | − | 2.00750e35i | 0.0601038 | − | 0.104103i | ||||
\(319\) | 2.83594e35 | − | 4.91200e35i | 0.140518 | − | 0.243385i | ||||
\(320\) | 5.79326e35 | + | 1.00342e36i | 0.274314 | + | 0.475126i | ||||
\(321\) | 1.83801e35 | 0.0831809 | ||||||||
\(322\) | 3.83615e35 | − | 4.88491e34i | 0.165953 | − | 0.0211323i | ||||
\(323\) | −2.52858e35 | −0.104578 | ||||||||
\(324\) | −1.31611e35 | − | 2.27957e35i | −0.0520464 | − | 0.0901470i | ||||
\(325\) | −1.19129e36 | + | 2.06338e36i | −0.450516 | + | 0.780316i | ||||
\(326\) | −1.55606e35 | + | 2.69517e35i | −0.0562821 | + | 0.0974835i | ||||
\(327\) | 6.28441e35 | + | 1.08849e36i | 0.217431 | + | 0.376602i | ||||
\(328\) | 3.76805e35 | 0.124723 | ||||||||
\(329\) | −5.71321e35 | + | 1.36291e36i | −0.180942 | + | 0.431644i | ||||
\(330\) | 5.07449e35 | 0.153794 | ||||||||
\(331\) | 2.27125e36 | + | 3.93391e36i | 0.658807 | + | 1.14109i | 0.980925 | + | 0.194388i | \(0.0622720\pi\) |
−0.322118 | + | 0.946700i | \(0.604395\pi\) | |||||||
\(332\) | −8.87539e35 | + | 1.53726e36i | −0.246425 | + | 0.426821i | ||||
\(333\) | 2.18405e35 | − | 3.78288e35i | 0.0580525 | − | 0.100550i | ||||
\(334\) | −8.76311e34 | − | 1.51782e35i | −0.0223015 | − | 0.0386274i | ||||
\(335\) | 2.37435e36 | 0.578623 | ||||||||
\(336\) | −1.58622e36 | − | 2.08546e36i | −0.370205 | − | 0.486723i | ||||
\(337\) | 2.83014e36 | 0.632665 | 0.316332 | − | 0.948648i | \(-0.397549\pi\) | ||||
0.316332 | + | 0.948648i | \(0.397549\pi\) | |||||||
\(338\) | 4.02339e36 | + | 6.96872e36i | 0.861589 | + | 1.49232i | ||||
\(339\) | −2.28026e36 | + | 3.94953e36i | −0.467831 | + | 0.810307i | ||||
\(340\) | 1.87531e36 | − | 3.24814e36i | 0.368663 | − | 0.638543i | ||||
\(341\) | −1.14094e36 | − | 1.97616e36i | −0.214943 | − | 0.372291i | ||||
\(342\) | −2.15299e35 | −0.0388743 | ||||||||
\(343\) | −5.36573e36 | + | 2.14296e36i | −0.928675 | + | 0.370894i | ||||
\(344\) | −2.18746e35 | −0.0362946 | ||||||||
\(345\) | −1.37566e35 | − | 2.38272e35i | −0.0218844 | − | 0.0379049i | ||||
\(346\) | −3.67794e36 | + | 6.37038e36i | −0.561049 | + | 0.971766i | ||||
\(347\) | −3.15076e34 | + | 5.45728e34i | −0.00460933 | + | 0.00798360i | −0.868321 | − | 0.496003i | \(-0.834801\pi\) |
0.863712 | + | 0.503986i | \(0.168134\pi\) | |||||||
\(348\) | −1.78473e36 | − | 3.09124e36i | −0.250423 | − | 0.433745i | ||||
\(349\) | 1.00843e37 | 1.35730 | 0.678650 | − | 0.734462i | \(-0.262566\pi\) | ||||
0.678650 | + | 0.734462i | \(0.262566\pi\) | |||||||
\(350\) | 3.92971e36 | + | 5.16654e36i | 0.507428 | + | 0.667134i | ||||
\(351\) | −2.32391e36 | −0.287916 | ||||||||
\(352\) | 1.76933e36 | + | 3.06458e36i | 0.210349 | + | 0.364336i | ||||
\(353\) | −4.79097e36 | + | 8.29821e36i | −0.546626 | + | 0.946785i | 0.451876 | + | 0.892081i | \(0.350755\pi\) |
−0.998503 | + | 0.0547040i | \(0.982578\pi\) | |||||||
\(354\) | −5.42987e36 | + | 9.40482e36i | −0.594624 | + | 1.02992i | ||||
\(355\) | 6.07852e35 | + | 1.05283e36i | 0.0638979 | + | 0.110674i | ||||
\(356\) | 1.45143e37 | 1.46477 | ||||||||
\(357\) | −2.87470e36 | + | 6.85771e36i | −0.278551 | + | 0.664493i | ||||
\(358\) | −1.70608e37 | −1.58744 | ||||||||
\(359\) | 3.85800e36 | + | 6.68225e36i | 0.344741 | + | 0.597109i | 0.985307 | − | 0.170795i | \(-0.0546335\pi\) |
−0.640566 | + | 0.767903i | \(0.721300\pi\) | |||||||
\(360\) | −1.07660e35 | + | 1.86472e35i | −0.00923988 | + | 0.0160039i | ||||
\(361\) | 6.02232e36 | − | 1.04310e37i | 0.496489 | − | 0.859944i | ||||
\(362\) | 8.62233e36 | + | 1.49343e37i | 0.682889 | + | 1.18280i | ||||
\(363\) | −6.88838e36 | −0.524169 | ||||||||
\(364\) | 1.90146e37 | − | 2.42130e36i | 1.39033 | − | 0.177043i | ||||
\(365\) | −2.28583e36 | −0.160620 | ||||||||
\(366\) | −9.40757e36 | − | 1.62944e37i | −0.635333 | − | 1.10043i | ||||
\(367\) | 1.25094e37 | − | 2.16669e37i | 0.812043 | − | 1.40650i | −0.0993885 | − | 0.995049i | \(-0.531689\pi\) |
0.911432 | − | 0.411451i | \(-0.134978\pi\) | |||||||
\(368\) | 1.02015e36 | − | 1.76695e36i | 0.0636605 | − | 0.110263i | ||||
\(369\) | −3.94142e36 | − | 6.82674e36i | −0.236467 | − | 0.409573i | ||||
\(370\) | 5.29952e36 | 0.305712 | ||||||||
\(371\) | −2.67532e36 | + | 3.40672e35i | −0.148407 | + | 0.0188979i | ||||
\(372\) | −1.43604e37 | −0.766114 | ||||||||
\(373\) | −6.94341e36 | − | 1.20263e37i | −0.356283 | − | 0.617100i | 0.631054 | − | 0.775739i | \(-0.282623\pi\) |
−0.987337 | + | 0.158639i | \(0.949289\pi\) | |||||||
\(374\) | 5.33973e36 | − | 9.24868e36i | 0.263561 | − | 0.456501i | ||||
\(375\) | 6.14316e36 | − | 1.06403e37i | 0.291702 | − | 0.505242i | ||||
\(376\) | 4.50294e35 | + | 7.79932e35i | 0.0205718 | + | 0.0356314i | ||||
\(377\) | −3.15136e37 | −1.38532 | ||||||||
\(378\) | −2.44769e36 | + | 5.83906e36i | −0.103544 | + | 0.247009i | ||||
\(379\) | −4.61970e37 | −1.88081 | −0.940406 | − | 0.340052i | \(-0.889555\pi\) | ||||
−0.940406 | + | 0.340052i | \(0.889555\pi\) | |||||||
\(380\) | −6.31722e35 | − | 1.09417e36i | −0.0247551 | − | 0.0428770i | ||||
\(381\) | 5.26666e36 | − | 9.12213e36i | 0.198666 | − | 0.344099i | ||||
\(382\) | 2.46817e37 | − | 4.27500e37i | 0.896307 | − | 1.55245i | ||||
\(383\) | −5.07466e36 | − | 8.78957e36i | −0.177429 | − | 0.307316i | 0.763570 | − | 0.645725i | \(-0.223445\pi\) |
−0.940999 | + | 0.338409i | \(0.890111\pi\) | |||||||
\(384\) | −3.00905e36 | −0.101304 | ||||||||
\(385\) | −3.57413e36 | − | 4.69904e36i | −0.115875 | − | 0.152345i | ||||
\(386\) | 3.82589e37 | 1.19458 | ||||||||
\(387\) | 2.28810e36 | + | 3.96311e36i | 0.0688124 | + | 0.119187i | ||||
\(388\) | 2.87046e37 | − | 4.97178e37i | 0.831555 | − | 1.44030i | ||||
\(389\) | −2.13347e37 | + | 3.69527e37i | −0.595411 | + | 1.03128i | 0.398078 | + | 0.917352i | \(0.369677\pi\) |
−0.993489 | + | 0.113930i | \(0.963656\pi\) | |||||||
\(390\) | −1.40972e37 | − | 2.44171e37i | −0.379050 | − | 0.656534i | ||||
\(391\) | −5.79027e36 | −0.150015 | ||||||||
\(392\) | −9.40141e35 | + | 3.39322e36i | −0.0234717 | + | 0.0847157i | ||||
\(393\) | −4.49623e37 | −1.08182 | ||||||||
\(394\) | −8.56618e36 | − | 1.48371e37i | −0.198651 | − | 0.344074i | ||||
\(395\) | 2.02025e36 | − | 3.49917e36i | 0.0451592 | − | 0.0782181i | ||||
\(396\) | 2.19914e36 | − | 3.80903e36i | 0.0473885 | − | 0.0820793i | ||||
\(397\) | −4.03545e37 | − | 6.98961e37i | −0.838359 | − | 1.45208i | −0.891266 | − | 0.453480i | \(-0.850182\pi\) |
0.0529079 | − | 0.998599i | \(-0.483151\pi\) | |||||||
\(398\) | 3.50919e37 | 0.702914 | ||||||||
\(399\) | 1.51642e36 | + | 1.99369e36i | 0.0292895 | + | 0.0385080i | ||||
\(400\) | 3.42476e37 | 0.637911 | ||||||||
\(401\) | 3.68279e37 | + | 6.37879e37i | 0.661582 | + | 1.14589i | 0.980200 | + | 0.198011i | \(0.0634482\pi\) |
−0.318617 | + | 0.947883i | \(0.603218\pi\) | |||||||
\(402\) | 2.12733e37 | − | 3.68465e37i | 0.368602 | − | 0.638438i | ||||
\(403\) | −6.33916e37 | + | 1.09798e38i | −1.05952 | + | 1.83514i | ||||
\(404\) | 3.20105e37 | + | 5.54438e37i | 0.516134 | + | 0.893970i | ||||
\(405\) | 4.50452e36 | 0.0700730 | ||||||||
\(406\) | −3.31922e37 | + | 7.91813e37i | −0.498206 | + | 1.18849i | ||||
\(407\) | 7.29882e36 | 0.105714 | ||||||||
\(408\) | 2.26574e36 | + | 3.92437e36i | 0.0316692 | + | 0.0548526i | ||||
\(409\) | 2.91221e37 | − | 5.04410e37i | 0.392857 | − | 0.680449i | −0.599968 | − | 0.800024i | \(-0.704820\pi\) |
0.992825 | + | 0.119575i | \(0.0381533\pi\) | |||||||
\(410\) | 4.78186e37 | − | 8.28243e37i | 0.622631 | − | 1.07843i | ||||
\(411\) | −1.32777e37 | − | 2.29976e37i | −0.166885 | − | 0.289053i | ||||
\(412\) | −1.06266e38 | −1.28940 | ||||||||
\(413\) | 1.25334e38 | − | 1.59599e37i | 1.46823 | − | 0.186963i | ||||
\(414\) | −4.93017e36 | −0.0557644 | ||||||||
\(415\) | −1.51884e37 | − | 2.63071e37i | −0.165888 | − | 0.287327i | ||||
\(416\) | 9.83062e37 | − | 1.70271e38i | 1.03688 | − | 1.79593i | ||||
\(417\) | −1.02745e36 | + | 1.77960e36i | −0.0104662 | + | 0.0181280i | ||||
\(418\) | −1.79875e36 | − | 3.11553e36i | −0.0176976 | − | 0.0306532i | ||||
\(419\) | 6.29261e37 | 0.598036 | 0.299018 | − | 0.954247i | \(-0.403341\pi\) | ||||
0.299018 | + | 0.954247i | \(0.403341\pi\) | |||||||
\(420\) | −3.68568e37 | + | 4.69330e36i | −0.338378 | + | 0.0430887i | ||||
\(421\) | −5.92759e37 | −0.525760 | −0.262880 | − | 0.964829i | \(-0.584672\pi\) | ||||
−0.262880 | + | 0.964829i | \(0.584672\pi\) | |||||||
\(422\) | 1.26848e38 | + | 2.19707e38i | 1.08706 | + | 1.88284i | ||||
\(423\) | 9.42025e36 | − | 1.63163e37i | 0.0780058 | − | 0.135110i | ||||
\(424\) | −8.21761e35 | + | 1.42333e36i | −0.00657568 | + | 0.0113894i | ||||
\(425\) | −4.85965e37 | − | 8.41717e37i | −0.375808 | − | 0.650918i | ||||
\(426\) | 2.17845e37 | 0.162820 | ||||||||
\(427\) | −8.46275e37 | + | 2.01882e38i | −0.611375 | + | 1.45846i | ||||
\(428\) | 1.93278e37 | 0.134973 | ||||||||
\(429\) | −1.94155e37 | − | 3.36287e37i | −0.131075 | − | 0.227028i | ||||
\(430\) | −2.77600e37 | + | 4.80818e37i | −0.181187 | + | 0.313825i | ||||
\(431\) | 6.99334e37 | − | 1.21128e38i | 0.441331 | − | 0.764408i | −0.556458 | − | 0.830876i | \(-0.687840\pi\) |
0.997789 | + | 0.0664684i | \(0.0211732\pi\) | |||||||
\(432\) | 1.67021e37 | + | 2.89288e37i | 0.101919 | + | 0.176529i | ||||
\(433\) | 6.07223e37 | 0.358322 | 0.179161 | − | 0.983820i | \(-0.442662\pi\) | ||||
0.179161 | + | 0.983820i | \(0.442662\pi\) | |||||||
\(434\) | 2.09110e38 | + | 2.74924e38i | 1.19336 | + | 1.56896i | ||||
\(435\) | 6.10841e37 | 0.337158 | ||||||||
\(436\) | 6.60845e37 | + | 1.14462e38i | 0.352814 | + | 0.611091i | ||||
\(437\) | −9.75261e35 | + | 1.68920e36i | −0.00503663 | + | 0.00872370i | ||||
\(438\) | −2.04803e37 | + | 3.54728e37i | −0.102320 | + | 0.177224i | ||||
\(439\) | −4.89051e37 | − | 8.47061e37i | −0.236384 | − | 0.409429i | 0.723290 | − | 0.690545i | \(-0.242629\pi\) |
−0.959674 | + | 0.281115i | \(0.909296\pi\) | |||||||
\(440\) | −3.59785e36 | −0.0168259 | ||||||||
\(441\) | 7.13104e37 | − | 1.84605e37i | 0.322696 | − | 0.0835379i | ||||
\(442\) | −5.93362e38 | −2.59835 | ||||||||
\(443\) | 4.01767e37 | + | 6.95882e37i | 0.170263 | + | 0.294904i | 0.938512 | − | 0.345247i | \(-0.112205\pi\) |
−0.768249 | + | 0.640152i | \(0.778872\pi\) | |||||||
\(444\) | 2.29667e37 | − | 3.97794e37i | 0.0941987 | − | 0.163157i | ||||
\(445\) | −1.24191e38 | + | 2.15106e38i | −0.493027 | + | 0.853948i | ||||
\(446\) | 7.41558e37 | + | 1.28442e38i | 0.284964 | + | 0.493572i | ||||
\(447\) | −1.29987e38 | −0.483549 | ||||||||
\(448\) | −1.46235e38 | − | 1.92261e38i | −0.526648 | − | 0.692404i | ||||
\(449\) | −3.36163e38 | −1.17214 | −0.586068 | − | 0.810262i | \(-0.699325\pi\) | ||||
−0.586068 | + | 0.810262i | \(0.699325\pi\) | |||||||
\(450\) | −4.13780e37 | − | 7.16687e37i | −0.139697 | − | 0.241963i | ||||
\(451\) | 6.58586e37 | − | 1.14071e38i | 0.215304 | − | 0.372918i | ||||
\(452\) | −2.39784e38 | + | 4.15318e38i | −0.759124 | + | 1.31484i | ||||
\(453\) | −1.58525e38 | − | 2.74574e38i | −0.486043 | − | 0.841852i | ||||
\(454\) | −1.03146e38 | −0.306298 | ||||||||
\(455\) | −1.26814e38 | + | 3.02520e38i | −0.364756 | + | 0.870138i | ||||
\(456\) | 1.52648e36 | 0.00425306 | ||||||||
\(457\) | 2.98145e37 | + | 5.16402e37i | 0.0804715 | + | 0.139381i | 0.903453 | − | 0.428688i | \(-0.141024\pi\) |
−0.822981 | + | 0.568069i | \(0.807691\pi\) | |||||||
\(458\) | 1.15476e38 | − | 2.00010e38i | 0.301954 | − | 0.523000i | ||||
\(459\) | 4.73997e37 | − | 8.20986e37i | 0.120086 | − | 0.207995i | ||||
\(460\) | −1.44660e37 | − | 2.50558e37i | −0.0355106 | − | 0.0615062i | ||||
\(461\) | 4.20694e38 | 1.00070 | 0.500349 | − | 0.865824i | \(-0.333205\pi\) | ||||
0.500349 | + | 0.865824i | \(0.333205\pi\) | |||||||
\(462\) | −1.04945e38 | + | 1.33636e37i | −0.241910 | + | 0.0308045i | ||||
\(463\) | 3.86844e37 | 0.0864195 | 0.0432097 | − | 0.999066i | \(-0.486242\pi\) | ||||
0.0432097 | + | 0.999066i | \(0.486242\pi\) | |||||||
\(464\) | 2.26490e38 | + | 3.92293e38i | 0.490387 | + | 0.849376i | ||||
\(465\) | 1.22874e38 | − | 2.12825e38i | 0.257866 | − | 0.446637i | ||||
\(466\) | 2.20356e38 | − | 3.81668e38i | 0.448259 | − | 0.776407i | ||||
\(467\) | −2.15967e38 | − | 3.74065e38i | −0.425885 | − | 0.737654i | 0.570618 | − | 0.821216i | \(-0.306704\pi\) |
−0.996503 | + | 0.0835618i | \(0.973370\pi\) | |||||||
\(468\) | −2.44374e38 | −0.467185 | ||||||||
\(469\) | −4.91039e38 | + | 6.25282e37i | −0.910142 | + | 0.115896i | ||||
\(470\) | 2.28579e38 | 0.410788 | ||||||||
\(471\) | 2.22316e38 | + | 3.85063e38i | 0.387407 | + | 0.671009i | ||||
\(472\) | 3.84982e37 | − | 6.66808e37i | 0.0650551 | − | 0.112679i | ||||
\(473\) | −3.82328e37 | + | 6.62211e37i | −0.0626541 | + | 0.108520i | ||||
\(474\) | −3.62014e37 | − | 6.27026e37i | −0.0575359 | − | 0.0996552i | ||||
\(475\) | −3.27407e37 | −0.0504696 | ||||||||
\(476\) | −3.02293e38 | + | 7.21132e38i | −0.451989 | + | 1.07824i | ||||
\(477\) | 3.43828e37 | 0.0498684 | ||||||||
\(478\) | 8.55769e38 | + | 1.48224e39i | 1.20407 | + | 2.08551i | ||||
\(479\) | 4.77560e38 | − | 8.27159e38i | 0.651874 | − | 1.12908i | −0.330794 | − | 0.943703i | \(-0.607317\pi\) |
0.982668 | − | 0.185375i | \(-0.0593501\pi\) | |||||||
\(480\) | −1.90551e38 | + | 3.30044e38i | −0.252355 | + | 0.437092i | ||||
\(481\) | −2.02765e38 | − | 3.51200e38i | −0.260549 | − | 0.451285i | ||||
\(482\) | 1.18804e39 | 1.48132 | ||||||||
\(483\) | 3.47248e37 | + | 4.56541e37i | 0.0420152 | + | 0.0552390i | ||||
\(484\) | −7.24357e38 | −0.850540 | ||||||||
\(485\) | 4.91220e38 | + | 8.50819e38i | 0.559785 | + | 0.969576i | ||||
\(486\) | 4.03589e37 | − | 6.99036e37i | 0.0446389 | − | 0.0773168i | ||||
\(487\) | 7.64777e38 | − | 1.32463e39i | 0.821041 | − | 1.42208i | −0.0838670 | − | 0.996477i | \(-0.526727\pi\) |
0.904908 | − | 0.425608i | \(-0.139940\pi\) | |||||||
\(488\) | 6.67003e37 | + | 1.15528e38i | 0.0695089 | + | 0.120393i | ||||
\(489\) | −4.61607e37 | −0.0466975 | ||||||||
\(490\) | 6.26543e38 | + | 6.37267e38i | 0.615330 | + | 0.625862i | ||||
\(491\) | −1.72717e39 | −1.64685 | −0.823423 | − | 0.567428i | \(-0.807938\pi\) | ||||
−0.823423 | + | 0.567428i | \(0.807938\pi\) | |||||||
\(492\) | −4.14465e38 | − | 7.17875e38i | −0.383702 | − | 0.664591i | ||||
\(493\) | 6.42769e38 | − | 1.11331e39i | 0.577796 | − | 1.00077i | ||||
\(494\) | −9.99407e37 | + | 1.73102e38i | −0.0872372 | + | 0.151099i | ||||
\(495\) | 3.76338e37 | + | 6.51837e37i | 0.0319009 | + | 0.0552540i | ||||
\(496\) | 1.82240e39 | 1.50023 | ||||||||
\(497\) | −1.53436e38 | − | 2.01728e38i | −0.122676 | − | 0.161286i | ||||
\(498\) | −5.44332e38 | −0.422706 | ||||||||
\(499\) | 1.27345e38 | + | 2.20568e38i | 0.0960559 | + | 0.166374i | 0.910049 | − | 0.414501i | \(-0.136044\pi\) |
−0.813993 | + | 0.580875i | \(0.802711\pi\) | |||||||
\(500\) | 6.45992e38 | − | 1.11889e39i | 0.473328 | − | 0.819829i | ||||
\(501\) | 1.29979e37 | − | 2.25131e37i | 0.00925183 | − | 0.0160246i | ||||
\(502\) | −9.69203e38 | − | 1.67871e39i | −0.670210 | − | 1.16084i | ||||
\(503\) | 8.03161e38 | 0.539594 | 0.269797 | − | 0.962917i | \(-0.413043\pi\) | ||||
0.269797 | + | 0.962917i | \(0.413043\pi\) | |||||||
\(504\) | 1.73543e37 | − | 4.13993e37i | 0.0113283 | − | 0.0270241i | ||||
\(505\) | −1.09559e39 | −0.694900 | ||||||||
\(506\) | −4.11901e37 | − | 7.13433e37i | −0.0253869 | − | 0.0439714i | ||||
\(507\) | −5.96773e38 | + | 1.03364e39i | −0.357432 | + | 0.619090i | ||||
\(508\) | 5.53823e38 | − | 9.59249e38i | 0.322364 | − | 0.558351i | ||||
\(509\) | −2.31944e38 | − | 4.01739e38i | −0.131213 | − | 0.227267i | 0.792932 | − | 0.609311i | \(-0.208554\pi\) |
−0.924144 | + | 0.382044i | \(0.875220\pi\) | |||||||
\(510\) | 1.15014e39 | 0.632386 | ||||||||
\(511\) | 4.72732e38 | − | 6.01971e37i | 0.252646 | − | 0.0321716i | ||||
\(512\) | −2.64690e39 | −1.37507 | ||||||||
\(513\) | −1.59672e37 | − | 2.76559e37i | −0.00806354 | − | 0.0139665i | ||||
\(514\) | 6.28132e38 | − | 1.08796e39i | 0.308379 | − | 0.534129i | ||||
\(515\) | 9.09267e38 | − | 1.57490e39i | 0.433997 | − | 0.751704i | ||||
\(516\) | 2.40608e38 | + | 4.16746e38i | 0.111658 | + | 0.193398i | ||||
\(517\) | 3.14813e38 | 0.142049 | ||||||||
\(518\) | −1.09599e39 | + | 1.39562e38i | −0.480868 | + | 0.0612331i | ||||
\(519\) | −1.09107e39 | −0.465505 | ||||||||
\(520\) | 9.99502e37 | + | 1.73119e38i | 0.0414701 | + | 0.0718283i | ||||
\(521\) | 1.89877e39 | − | 3.28876e39i | 0.766169 | − | 1.32704i | −0.173458 | − | 0.984841i | \(-0.555494\pi\) |
0.939627 | − | 0.342202i | \(-0.111173\pi\) | |||||||
\(522\) | 5.47291e38 | − | 9.47937e38i | 0.214781 | − | 0.372012i | ||||
\(523\) | 1.50481e39 | + | 2.60641e39i | 0.574391 | + | 0.994875i | 0.996107 | + | 0.0881471i | \(0.0280945\pi\) |
−0.421716 | + | 0.906728i | \(0.638572\pi\) | |||||||
\(524\) | −4.72807e39 | −1.75542 | ||||||||
\(525\) | −3.72223e38 | + | 8.87952e38i | −0.134429 | + | 0.320686i | ||||
\(526\) | 2.97070e38 | 0.104368 | ||||||||
\(527\) | −2.58594e39 | − | 4.47898e39i | −0.883821 | − | 1.53082i | ||||
\(528\) | −2.79081e38 | + | 4.83383e38i | −0.0927980 | + | 0.160731i | ||||
\(529\) | 1.52320e39 | − | 2.63825e39i | 0.492775 | − | 0.853511i | ||||
\(530\) | 2.08572e38 | + | 3.61257e38i | 0.0656532 | + | 0.113715i | ||||
\(531\) | −1.61078e39 | −0.493362 | ||||||||
\(532\) | 1.59461e38 | + | 2.09649e38i | 0.0475265 | + | 0.0624849i | ||||
\(533\) | −7.31836e39 | −2.12260 | ||||||||
\(534\) | 2.22542e39 | + | 3.85454e39i | 0.628150 | + | 1.08799i | ||||
\(535\) | −1.65378e38 | + | 2.86443e38i | −0.0454305 | + | 0.0786880i | ||||
\(536\) | −1.50829e38 | + | 2.61244e38i | −0.0403271 | + | 0.0698485i | ||||
\(537\) | −1.26528e39 | − | 2.19153e39i | −0.329275 | − | 0.570321i | ||||
\(538\) | 4.90264e39 | 1.24190 | ||||||||
\(539\) | 8.62913e38 | + | 8.77682e38i | 0.212779 | + | 0.216421i | ||||
\(540\) | 4.73679e38 | 0.113704 | ||||||||
\(541\) | −2.85667e39 | − | 4.94790e39i | −0.667574 | − | 1.15627i | −0.978580 | − | 0.205865i | \(-0.933999\pi\) |
0.311006 | − | 0.950408i | \(-0.399334\pi\) | |||||||
\(542\) | −1.65296e39 | + | 2.86301e39i | −0.376074 | + | 0.651379i | ||||
\(543\) | −1.27891e39 | + | 2.21514e39i | −0.283298 | + | 0.490686i | ||||
\(544\) | 4.01021e39 | + | 6.94589e39i | 0.864935 | + | 1.49811i | ||||
\(545\) | −2.26180e39 | −0.475013 | ||||||||
\(546\) | 3.55846e39 | + | 4.67844e39i | 0.727727 | + | 0.956770i | ||||
\(547\) | −7.16174e39 | −1.42627 | −0.713136 | − | 0.701026i | \(-0.752726\pi\) | ||||
−0.713136 | + | 0.701026i | \(0.752726\pi\) | |||||||
\(548\) | −1.39623e39 | − | 2.41835e39i | −0.270795 | − | 0.469030i | ||||
\(549\) | 1.39538e39 | − | 2.41688e39i | 0.263569 | − | 0.456515i | ||||
\(550\) | 6.91400e38 | − | 1.19754e39i | 0.127195 | − | 0.220308i | ||||
\(551\) | −2.16525e38 | − | 3.75032e38i | −0.0387980 | − | 0.0672000i | ||||
\(552\) | 3.49553e37 | 0.00610093 | ||||||||
\(553\) | −3.25656e38 | + | 7.76865e38i | −0.0553662 | + | 0.132078i | ||||
\(554\) | 1.20427e40 | 1.99450 | ||||||||
\(555\) | 3.93028e38 | + | 6.80744e38i | 0.0634125 | + | 0.109834i | ||||
\(556\) | −1.08043e38 | + | 1.87137e38i | −0.0169830 | + | 0.0294154i | ||||
\(557\) | −4.77365e39 | + | 8.26821e39i | −0.731056 | + | 1.26623i | 0.225376 | + | 0.974272i | \(0.427639\pi\) |
−0.956432 | + | 0.291954i | \(0.905694\pi\) | |||||||
\(558\) | −2.20182e39 | − | 3.81367e39i | −0.328538 | − | 0.569045i | ||||
\(559\) | 4.24851e39 | 0.617683 | ||||||||
\(560\) | 4.67729e39 | − | 5.95601e38i | 0.662626 | − | 0.0843779i | ||||
\(561\) | 1.58404e39 | 0.218677 | ||||||||
\(562\) | 9.39997e39 | + | 1.62812e40i | 1.26459 | + | 2.19033i | ||||
\(563\) | −3.72919e39 | + | 6.45915e39i | −0.488925 | + | 0.846844i | −0.999919 | − | 0.0127409i | \(-0.995944\pi\) |
0.510993 | + | 0.859585i | \(0.329278\pi\) | |||||||
\(564\) | 9.90598e38 | − | 1.71577e39i | 0.126576 | − | 0.219236i | ||||
\(565\) | −4.10342e39 | − | 7.10732e39i | −0.511026 | − | 0.885123i | ||||
\(566\) | 3.71669e39 | 0.451147 | ||||||||
\(567\) | −9.31578e38 | + | 1.18626e38i | −0.110221 | + | 0.0140354i | ||||
\(568\) | −1.54454e38 | −0.0178134 | ||||||||
\(569\) | 2.18489e39 | + | 3.78435e39i | 0.245642 | + | 0.425464i | 0.962312 | − | 0.271948i | \(-0.0876679\pi\) |
−0.716670 | + | 0.697413i | \(0.754335\pi\) | |||||||
\(570\) | 1.93719e38 | − | 3.35531e38i | 0.0212318 | − | 0.0367745i | ||||
\(571\) | −9.16407e38 | + | 1.58726e39i | −0.0979185 | + | 0.169600i | −0.910823 | − | 0.412797i | \(-0.864552\pi\) |
0.812904 | + | 0.582397i | \(0.197885\pi\) | |||||||
\(572\) | −2.04166e39 | − | 3.53627e39i | −0.212687 | − | 0.368385i | ||||
\(573\) | 7.32187e39 | 0.743670 | ||||||||
\(574\) | −7.70818e39 | + | 1.83881e40i | −0.763360 | + | 1.82102i | ||||
\(575\) | −7.49736e38 | −0.0723977 | ||||||||
\(576\) | 1.53978e39 | + | 2.66698e39i | 0.144989 | + | 0.251128i | ||||
\(577\) | −5.12095e39 | + | 8.86974e39i | −0.470220 | + | 0.814445i | −0.999420 | − | 0.0340522i | \(-0.989159\pi\) |
0.529200 | + | 0.848497i | \(0.322492\pi\) | |||||||
\(578\) | 4.33166e39 | − | 7.50266e39i | 0.387883 | − | 0.671834i | ||||
\(579\) | 2.83739e39 | + | 4.91450e39i | 0.247788 | + | 0.429181i | ||||
\(580\) | 6.42338e39 | 0.547088 | ||||||||
\(581\) | 3.83391e39 | + | 5.04058e39i | 0.318484 | + | 0.418723i | ||||
\(582\) | 1.76046e40 | 1.42641 | ||||||||
\(583\) | 2.87258e38 | + | 4.97545e38i | 0.0227027 | + | 0.0393223i | ||||
\(584\) | 1.45206e38 | − | 2.51505e38i | 0.0111944 | − | 0.0193892i | ||||
\(585\) | 2.09098e39 | − | 3.62168e39i | 0.157250 | − | 0.272364i | ||||
\(586\) | 6.78896e39 | + | 1.17588e40i | 0.498067 | + | 0.862678i | ||||
\(587\) | −1.79584e40 | −1.28534 | −0.642668 | − | 0.766145i | \(-0.722172\pi\) | ||||
−0.642668 | + | 0.766145i | \(0.722172\pi\) | |||||||
\(588\) | 7.49874e39 | − | 1.94124e39i | 0.523621 | − | 0.135552i | ||||
\(589\) | −1.74221e39 | −0.118694 | ||||||||
\(590\) | −9.77126e39 | − | 1.69243e40i | −0.649526 | − | 1.12501i | ||||
\(591\) | 1.27058e39 | − | 2.20072e39i | 0.0824110 | − | 0.142740i | ||||
\(592\) | −2.91457e39 | + | 5.04819e39i | −0.184463 | + | 0.319500i | ||||
\(593\) | −6.27552e39 | − | 1.08695e40i | −0.387576 | − | 0.671301i | 0.604547 | − | 0.796569i | \(-0.293354\pi\) |
−0.992123 | + | 0.125268i | \(0.960021\pi\) | |||||||
\(594\) | 1.34874e39 | 0.0812879 | ||||||||
\(595\) | −8.10080e39 | − | 1.06504e40i | −0.476466 | − | 0.626427i | ||||
\(596\) | −1.36689e40 | −0.784628 | ||||||||
\(597\) | 2.60252e39 | + | 4.50769e39i | 0.145803 | + | 0.252538i | ||||
\(598\) | −2.28857e39 | + | 3.96391e39i | −0.125140 | + | 0.216749i | ||||
\(599\) | −1.05998e40 | + | 1.83594e40i | −0.565731 | + | 0.979874i | 0.431251 | + | 0.902232i | \(0.358072\pi\) |
−0.996981 | + | 0.0776419i | \(0.975261\pi\) | |||||||
\(600\) | 2.93372e38 | + | 5.08136e38i | 0.0152836 | + | 0.0264720i | ||||
\(601\) | −2.96740e40 | −1.50902 | −0.754512 | − | 0.656286i | \(-0.772127\pi\) | ||||
−0.754512 | + | 0.656286i | \(0.772127\pi\) | |||||||
\(602\) | 4.47481e39 | − | 1.06748e40i | 0.222139 | − | 0.529922i | ||||
\(603\) | 6.31076e39 | 0.305831 | ||||||||
\(604\) | −1.66699e40 | − | 2.88732e40i | −0.788676 | − | 1.36603i | ||||
\(605\) | 6.19795e39 | − | 1.07352e40i | 0.286283 | − | 0.495856i | ||||
\(606\) | −9.81608e39 | + | 1.70019e40i | −0.442675 | + | 0.766735i | ||||
\(607\) | −1.67492e40 | − | 2.90105e40i | −0.737495 | − | 1.27738i | −0.953620 | − | 0.301013i | \(-0.902675\pi\) |
0.216125 | − | 0.976366i | \(-0.430658\pi\) | |||||||
\(608\) | 2.70178e39 | 0.116158 | ||||||||
\(609\) | −1.26328e40 | + | 1.60864e39i | −0.530332 | + | 0.0675318i | ||||
\(610\) | 3.38585e40 | 1.38799 | ||||||||
\(611\) | −8.74568e39 | − | 1.51480e40i | −0.350103 | − | 0.606396i | ||||
\(612\) | 4.98437e39 | − | 8.63319e39i | 0.194857 | − | 0.337501i | ||||
\(613\) | −1.38972e40 | + | 2.40706e40i | −0.530579 | + | 0.918990i | 0.468784 | + | 0.883313i | \(0.344692\pi\) |
−0.999363 | + | 0.0356773i | \(0.988641\pi\) | |||||||
\(614\) | −9.12884e39 | − | 1.58116e40i | −0.340388 | − | 0.589570i | ||||
\(615\) | 1.41855e40 | 0.516600 | ||||||||
\(616\) | 7.44069e38 | − | 9.47488e37i | 0.0264663 | − | 0.00337018i | ||||
\(617\) | −2.90793e40 | −1.01030 | −0.505148 | − | 0.863033i | \(-0.668562\pi\) | ||||
−0.505148 | + | 0.863033i | \(0.668562\pi\) | |||||||
\(618\) | −1.62934e40 | − | 2.82210e40i | −0.552941 | − | 0.957722i | ||||
\(619\) | −1.20856e40 | + | 2.09329e40i | −0.400639 | + | 0.693927i | −0.993803 | − | 0.111154i | \(-0.964545\pi\) |
0.593164 | + | 0.805082i | \(0.297879\pi\) | |||||||
\(620\) | 1.29210e40 | − | 2.23799e40i | 0.418425 | − | 0.724733i | ||||
\(621\) | −3.65636e38 | − | 6.33300e38i | −0.0115670 | − | 0.0200346i | ||||
\(622\) | −9.09005e39 | −0.280935 | ||||||||
\(623\) | 2.00192e40 | − | 4.77564e40i | 0.604462 | − | 1.44197i | ||||
\(624\) | 3.10121e40 | 0.914860 | ||||||||
\(625\) | 6.07100e38 | + | 1.05153e39i | 0.0174985 | + | 0.0303082i | ||||
\(626\) | 1.89378e40 | − | 3.28013e40i | 0.533338 | − | 0.923768i | ||||
\(627\) | 2.66801e38 | − | 4.62113e38i | 0.00734190 | − | 0.0127165i | ||||
\(628\) | 2.33779e40 | + | 4.04918e40i | 0.628625 | + | 1.08881i | ||||
\(629\) | 1.65428e40 | 0.434686 | ||||||||
\(630\) | −6.89750e39 | − | 9.06840e39i | −0.177114 | − | 0.232859i | ||||
\(631\) | 4.23670e40 | 1.06317 | 0.531584 | − | 0.847005i | \(-0.321597\pi\) | ||||
0.531584 | + | 0.847005i | \(0.321597\pi\) | |||||||
\(632\) | 2.56670e38 | + | 4.44566e38i | 0.00629474 | + | 0.0109028i | ||||
\(633\) | −1.88148e40 | + | 3.25882e40i | −0.450968 | + | 0.781100i | ||||
\(634\) | 2.11021e40 | − | 3.65499e40i | 0.494347 | − | 0.856234i | ||||
\(635\) | 9.47755e39 | + | 1.64156e40i | 0.217009 | + | 0.375870i | ||||
\(636\) | 3.61557e39 | 0.0809187 | ||||||||
\(637\) | 1.82595e40 | − | 6.59036e40i | 0.399455 | − | 1.44174i | ||||
\(638\) | 1.82898e40 | 0.391119 | ||||||||
\(639\) | 1.61560e39 | + | 2.79831e39i | 0.0337732 | + | 0.0584969i | ||||
\(640\) | 2.70745e39 | − | 4.68944e39i | 0.0553287 | − | 0.0958321i | ||||
\(641\) | −6.33296e39 | + | 1.09690e40i | −0.126522 | + | 0.219142i | −0.922327 | − | 0.386411i | \(-0.873715\pi\) |
0.795805 | + | 0.605553i | \(0.207048\pi\) | |||||||
\(642\) | 2.96345e39 | + | 5.13285e39i | 0.0578815 | + | 0.100254i | ||||
\(643\) | 8.10571e40 | 1.54786 | 0.773931 | − | 0.633270i | \(-0.218288\pi\) | ||||
0.773931 | + | 0.633270i | \(0.218288\pi\) | |||||||
\(644\) | 3.65154e39 | + | 4.80081e39i | 0.0681759 | + | 0.0896333i | ||||
\(645\) | −8.23505e39 | −0.150332 | ||||||||
\(646\) | −4.07689e39 | − | 7.06138e39i | −0.0727708 | − | 0.126043i | ||||
\(647\) | −7.46353e39 | + | 1.29272e40i | −0.130266 | + | 0.225628i | −0.923779 | − | 0.382926i | \(-0.874917\pi\) |
0.793513 | + | 0.608553i | \(0.208250\pi\) | |||||||
\(648\) | −2.86147e38 | + | 4.95621e38i | −0.00488373 | + | 0.00845887i | ||||
\(649\) | −1.34576e40 | − | 2.33092e40i | −0.224604 | − | 0.389026i | ||||
\(650\) | −7.68299e40 | −1.25397 | ||||||||
\(651\) | −1.98069e40 | + | 4.72501e40i | −0.316149 | + | 0.754185i | ||||
\(652\) | −4.85409e39 | −0.0757735 | ||||||||
\(653\) | −3.98271e40 | − | 6.89825e40i | −0.608047 | − | 1.05317i | −0.991562 | − | 0.129634i | \(-0.958620\pi\) |
0.383515 | − | 0.923535i | \(-0.374714\pi\) | |||||||
\(654\) | −2.02650e40 | + | 3.50999e40i | −0.302600 | + | 0.524118i | ||||
\(655\) | 4.04556e40 | − | 7.00712e40i | 0.590854 | − | 1.02339i | ||||
\(656\) | 5.25975e40 | + | 9.11015e40i | 0.751380 | + | 1.30143i | ||||
\(657\) | −6.07549e39 | −0.0848953 | ||||||||
\(658\) | −4.72723e40 | + | 6.01960e39i | −0.646148 | + | 0.0822796i | ||||
\(659\) | 6.09652e40 | 0.815161 | 0.407581 | − | 0.913169i | \(-0.366373\pi\) | ||||
0.407581 | + | 0.913169i | \(0.366373\pi\) | |||||||
\(660\) | 3.95744e39 | + | 6.85448e39i | 0.0517639 | + | 0.0896577i | ||||
\(661\) | −5.57921e40 | + | 9.66348e40i | −0.713924 | + | 1.23655i | 0.249450 | + | 0.968388i | \(0.419750\pi\) |
−0.963373 | + | 0.268164i | \(0.913583\pi\) | |||||||
\(662\) | −7.32395e40 | + | 1.26855e41i | −0.916863 | + | 1.58805i | ||||
\(663\) | −4.40054e40 | − | 7.62197e40i | −0.538965 | − | 0.933514i | ||||
\(664\) | 3.85935e39 | 0.0462463 | ||||||||
\(665\) | −4.47149e39 | + | 5.69393e38i | −0.0524249 | + | 0.00667573i | ||||
\(666\) | 1.40855e40 | 0.161584 | ||||||||
\(667\) | −4.95825e39 | − | 8.58794e39i | −0.0556549 | − | 0.0963972i | ||||
\(668\) | 1.36682e39 | − | 2.36740e39i | 0.0150124 | − | 0.0260023i | ||||
\(669\) | −1.09992e40 | + | 1.90512e40i | −0.118218 | + | 0.204759i | ||||
\(670\) | 3.82822e40 | + | 6.63066e40i | 0.402635 | + | 0.697385i | ||||
\(671\) | 4.66320e40 | 0.479962 | ||||||||
\(672\) | 3.07160e40 | − | 7.32743e40i | 0.309393 | − | 0.738069i | ||||
\(673\) | 1.88107e41 | 1.85433 | 0.927163 | − | 0.374658i | \(-0.122240\pi\) | ||||
0.927163 | + | 0.374658i | \(0.122240\pi\) | |||||||
\(674\) | 4.56308e40 | + | 7.90349e40i | 0.440240 | + | 0.762519i | ||||
\(675\) | 6.13741e39 | − | 1.06303e40i | 0.0579536 | − | 0.100379i | ||||
\(676\) | −6.27544e40 | + | 1.08694e41i | −0.579985 | + | 1.00456i | ||||
\(677\) | 9.52801e40 | + | 1.65030e41i | 0.861919 | + | 1.49289i | 0.870074 | + | 0.492920i | \(0.164071\pi\) |
−0.00815560 | + | 0.999967i | \(0.502596\pi\) | |||||||
\(678\) | −1.47060e41 | −1.30216 | ||||||||
\(679\) | −1.23995e41 | − | 1.63021e41i | −1.07472 | − | 1.41297i | ||||
\(680\) | −8.15455e39 | −0.0691864 | ||||||||
\(681\) | −7.64962e39 | − | 1.32495e40i | −0.0635341 | − | 0.110044i | ||||
\(682\) | 3.67910e40 | − | 6.37240e40i | 0.299136 | − | 0.518119i | ||||
\(683\) | −6.00093e40 | + | 1.03939e41i | −0.477659 | + | 0.827330i | −0.999672 | − | 0.0256076i | \(-0.991848\pi\) |
0.522013 | + | 0.852938i | \(0.325181\pi\) | |||||||
\(684\) | −1.67905e39 | − | 2.90819e39i | −0.0130843 | − | 0.0226626i | ||||
\(685\) | 4.77874e40 | 0.364586 | ||||||||
\(686\) | −1.46357e41 | − | 1.15293e41i | −1.09324 | − | 0.861199i | ||||
\(687\) | 3.42560e40 | 0.250533 | ||||||||
\(688\) | −3.05343e40 | − | 5.28870e40i | −0.218653 | − | 0.378718i | ||||
\(689\) | 1.59604e40 | − | 2.76442e40i | 0.111909 | − | 0.193832i | ||||
\(690\) | 4.43601e39 | − | 7.68340e39i | 0.0304566 | − | 0.0527523i | ||||
\(691\) | 4.86401e40 | + | 8.42471e40i | 0.327011 | + | 0.566400i | 0.981917 | − | 0.189310i | \(-0.0606252\pi\) |
−0.654906 | + | 0.755710i | \(0.727292\pi\) | |||||||
\(692\) | −1.14732e41 | −0.755349 | ||||||||
\(693\) | −9.49964e39 | − | 1.24895e40i | −0.0612457 | − | 0.0805220i | ||||
\(694\) | −2.03201e39 | −0.0128296 | ||||||||
\(695\) | −1.84894e39 | − | 3.20246e39i | −0.0114326 | − | 0.0198018i | ||||
\(696\) | −3.88033e39 | + | 6.72093e39i | −0.0234982 | + | 0.0407001i | ||||
\(697\) | 1.49269e41 | − | 2.58542e41i | 0.885309 | − | 1.53340i | ||||
\(698\) | 1.62591e41 | + | 2.81615e41i | 0.944478 | + | 1.63588i | ||||
\(699\) | 6.53689e40 | 0.371922 | ||||||||
\(700\) | −3.91416e40 | + | 9.33737e40i | −0.218131 | + | 0.520359i | ||||
\(701\) | 8.21684e39 | 0.0448532 | 0.0224266 | − | 0.999748i | \(-0.492861\pi\) | ||||
0.0224266 | + | 0.999748i | \(0.492861\pi\) | |||||||
\(702\) | −3.74688e40 | − | 6.48979e40i | −0.200347 | − | 0.347011i | ||||
\(703\) | 2.78633e39 | − | 4.82606e39i | 0.0145942 | − | 0.0252779i | ||||
\(704\) | −2.57288e40 | + | 4.45636e40i | −0.132013 | + | 0.228653i | ||||
\(705\) | 1.69521e40 | + | 2.93619e40i | 0.0852081 | + | 0.147585i | ||||
\(706\) | −3.08983e41 | −1.52148 | ||||||||
\(707\) | 2.26578e41 | − | 2.88522e40i | 1.09304 | − | 0.139186i | ||||
\(708\) | −1.69384e41 | −0.800551 | ||||||||
\(709\) | −1.20325e41 | − | 2.08408e41i | −0.557165 | − | 0.965039i | −0.997732 | − | 0.0673186i | \(-0.978556\pi\) |
0.440566 | − | 0.897720i | \(-0.354778\pi\) | |||||||
\(710\) | −1.96010e40 | + | 3.39500e40i | −0.0889268 | + | 0.154026i | ||||
\(711\) | 5.36959e39 | − | 9.30041e39i | 0.0238689 | − | 0.0413421i | ||||
\(712\) | −1.57784e40 | − | 2.73289e40i | −0.0687230 | − | 0.119032i | ||||
\(713\) | −3.98953e40 | −0.170264 | ||||||||
\(714\) | −2.37859e41 | + | 3.02887e40i | −0.994709 | + | 0.126665i | ||||
\(715\) | 6.98779e40 | 0.286353 | ||||||||
\(716\) | −1.33052e41 | − | 2.30453e41i | −0.534297 | − | 0.925430i | ||||
\(717\) | −1.26933e41 | + | 2.19854e41i | −0.499511 | + | 0.865179i | ||||
\(718\) | −1.24407e41 | + | 2.15479e41i | −0.479776 | + | 0.830997i | ||||
\(719\) | 1.29891e41 | + | 2.24977e41i | 0.490918 | + | 0.850295i | 0.999945 | − | 0.0104552i | \(-0.00332806\pi\) |
−0.509027 | + | 0.860750i | \(0.669995\pi\) | |||||||
\(720\) | −6.01120e40 | −0.222659 | ||||||||
\(721\) | −1.46570e41 | + | 3.49649e41i | −0.532089 | + | 1.26932i | ||||
\(722\) | 3.88396e41 | 1.38193 | ||||||||
\(723\) | 8.81087e40 | + | 1.52609e41i | 0.307265 | + | 0.532199i | ||||
\(724\) | −1.34486e41 | + | 2.32936e41i | −0.459692 | + | 0.796210i | ||||
\(725\) | 8.32271e40 | − | 1.44154e41i | 0.278846 | − | 0.482975i | ||||
\(726\) | −1.11063e41 | − | 1.92366e41i | −0.364743 | − | 0.631754i | ||||
\(727\) | 1.89639e41 | 0.610491 | 0.305245 | − | 0.952274i | \(-0.401262\pi\) | ||||
0.305245 | + | 0.952274i | \(0.401262\pi\) | |||||||
\(728\) | −2.52297e40 | − | 3.31704e40i | −0.0796173 | − | 0.104676i | ||||
\(729\) | 1.19725e40 | 0.0370370 | ||||||||
\(730\) | −3.68550e40 | − | 6.38347e40i | −0.111767 | − | 0.193587i | ||||
\(731\) | −8.66549e40 | + | 1.50091e41i | −0.257627 | + | 0.446223i | ||||
\(732\) | 1.46733e41 | − | 2.54150e41i | 0.427679 | − | 0.740762i | ||||
\(733\) | −8.34806e40 | − | 1.44593e41i | −0.238549 | − | 0.413179i | 0.721749 | − | 0.692155i | \(-0.243338\pi\) |
−0.960298 | + | 0.278976i | \(0.910005\pi\) | |||||||
\(734\) | 8.06767e41 | 2.26024 | ||||||||
\(735\) | −3.53932e40 | + | 1.27743e41i | −0.0972194 | + | 0.350891i | ||||
\(736\) | 6.18686e40 | 0.166626 | ||||||||
\(737\) | 5.27245e40 | + | 9.13214e40i | 0.139230 | + | 0.241154i | ||||
\(738\) | 1.27097e41 | − | 2.20138e41i | 0.329091 | − | 0.570003i | ||||
\(739\) | −2.29554e41 | + | 3.97599e41i | −0.582828 | + | 1.00949i | 0.412314 | + | 0.911042i | \(0.364721\pi\) |
−0.995142 | + | 0.0984465i | \(0.968613\pi\) | |||||||
\(740\) | 4.13293e40 | + | 7.15845e40i | 0.102896 | + | 0.178221i | ||||
\(741\) | −2.96475e40 | −0.0723810 | ||||||||
\(742\) | −5.26483e40 | − | 6.92187e40i | −0.126046 | − | 0.165717i | ||||
\(743\) | −2.79202e40 | −0.0655511 | −0.0327756 | − | 0.999463i | \(-0.510435\pi\) | ||||
−0.0327756 | + | 0.999463i | \(0.510435\pi\) | |||||||
\(744\) | 1.56111e40 | + | 2.70391e40i | 0.0359439 | + | 0.0622566i | ||||
\(745\) | 1.16958e41 | − | 2.02577e41i | 0.264097 | − | 0.457430i | ||||
\(746\) | 2.23900e41 | − | 3.87806e41i | 0.495840 | − | 0.858819i | ||||
\(747\) | −4.03692e40 | − | 6.99215e40i | −0.0876801 | − | 0.151866i | ||||
\(748\) | 1.66572e41 | 0.354836 | ||||||||
\(749\) | 2.66583e40 | − | 6.35943e40i | 0.0556988 | − | 0.132872i | ||||
\(750\) | 3.96190e41 | 0.811923 | ||||||||
\(751\) | −7.64523e38 | − | 1.32419e39i | −0.00153678 | − | 0.00266178i | 0.865256 | − | 0.501330i | \(-0.167156\pi\) |
−0.866793 | + | 0.498669i | \(0.833823\pi\) | |||||||
\(752\) | −1.25711e41 | + | 2.17739e41i | −0.247866 | + | 0.429316i | ||||
\(753\) | 1.43758e41 | − | 2.48996e41i | 0.278038 | − | 0.481576i | ||||
\(754\) | −5.08101e41 | − | 8.80056e41i | −0.963974 | − | 1.66965i | ||||
\(755\) | 5.70544e41 | 1.06184 | ||||||||
\(756\) | −9.79613e40 | + | 1.24743e40i | −0.178850 | + | 0.0227745i | ||||
\(757\) | 9.16996e40 | 0.164239 | 0.0821197 | − | 0.996622i | \(-0.473831\pi\) | ||||
0.0821197 | + | 0.996622i | \(0.473831\pi\) | |||||||
\(758\) | −7.44844e41 | − | 1.29011e42i | −1.30877 | − | 2.26685i | ||||
\(759\) | 6.10954e39 | − | 1.05820e40i | 0.0105318 | − | 0.0182416i | ||||
\(760\) | −1.37348e39 | + | 2.37894e39i | −0.00232287 | + | 0.00402333i | ||||
\(761\) | 2.95721e41 | + | 5.12204e41i | 0.490688 | + | 0.849896i | 0.999943 | − | 0.0107199i | \(-0.00341233\pi\) |
−0.509255 | + | 0.860616i | \(0.670079\pi\) | |||||||
\(762\) | 3.39662e41 | 0.552968 | ||||||||
\(763\) | 4.67763e41 | − | 5.95643e40i | 0.747171 | − | 0.0951438i | ||||
\(764\) | 7.69941e41 | 1.20671 | ||||||||
\(765\) | 8.52974e40 | + | 1.47740e41i | 0.131173 | + | 0.227199i | ||||
\(766\) | 1.63640e41 | − | 2.83432e41i | 0.246928 | − | 0.427693i | ||||
\(767\) | −7.47717e41 | + | 1.29508e42i | −1.10714 | + | 1.91763i | ||||
\(768\) | −2.21351e41 | − | 3.83391e41i | −0.321620 | − | 0.557062i | ||||
\(769\) | −7.84015e41 | −1.11787 | −0.558937 | − | 0.829210i | \(-0.688791\pi\) | ||||
−0.558937 | + | 0.829210i | \(0.688791\pi\) | |||||||
\(770\) | 7.36000e40 | − | 1.75575e41i | 0.102982 | − | 0.245668i | ||||
\(771\) | 1.86336e41 | 0.255864 | ||||||||
\(772\) | 2.98369e41 | + | 5.16791e41i | 0.402071 | + | 0.696408i | ||||
\(773\) | 5.75959e41 | − | 9.97590e41i | 0.761709 | − | 1.31932i | −0.180260 | − | 0.983619i | \(-0.557694\pi\) |
0.941969 | − | 0.335699i | \(-0.108973\pi\) | |||||||
\(774\) | −7.37831e40 | + | 1.27796e41i | −0.0957664 | + | 0.165872i | ||||
\(775\) | −3.34833e41 | − | 5.79948e41i | −0.426534 | − | 0.738779i | ||||
\(776\) | −1.24818e41 | −0.156057 | ||||||||
\(777\) | −9.92092e40 | − | 1.30434e41i | −0.121744 | − | 0.160061i | ||||
\(778\) | −1.37593e42 | −1.65727 | ||||||||
\(779\) | −5.02831e40 | − | 8.70929e40i | −0.0594469 | − | 0.102965i | ||||
\(780\) | 2.19880e41 | − | 3.80843e41i | 0.255160 | − | 0.441951i | ||||
\(781\) | −2.69957e40 | + | 4.67579e40i | −0.0307507 | + | 0.0532617i | ||||
\(782\) | −9.33576e40 | − | 1.61700e41i | −0.104388 | − | 0.180806i | ||||
\(783\) | 1.62355e41 | 0.178205 | ||||||||
\(784\) | −9.51624e41 | + | 2.46352e41i | −1.02537 | + | 0.265444i | ||||
\(785\) | −8.00132e41 | −0.846353 | ||||||||
\(786\) | −7.24936e41 | − | 1.25563e42i | −0.752788 | − | 1.30387i | ||||
\(787\) | −4.07065e41 | + | 7.05058e41i | −0.414983 | + | 0.718772i | −0.995427 | − | 0.0955286i | \(-0.969546\pi\) |
0.580444 | + | 0.814300i | \(0.302879\pi\) | |||||||
\(788\) | 1.33610e41 | − | 2.31419e41i | 0.133724 | − | 0.231616i | ||||
\(789\) | 2.20316e40 | + | 3.81598e40i | 0.0216486 | + | 0.0374964i | ||||
\(790\) | 1.30291e41 | 0.125696 | ||||||||
\(791\) | 1.03580e42 | + | 1.36180e42i | 0.981104 | + | 1.28989i | ||||
\(792\) | −9.56268e39 | −0.00889333 | ||||||||
\(793\) | −1.29546e42 | − | 2.24381e42i | −1.18294 | − | 2.04892i | ||||
\(794\) | 1.30129e42 | − | 2.25390e42i | 1.16675 | − | 2.02086i | ||||
\(795\) | −3.09366e40 | + | 5.35838e40i | −0.0272364 | + | 0.0471748i | ||||
\(796\) | 2.73671e41 | + | 4.74012e41i | 0.236586 | + | 0.409779i | ||||
\(797\) | −2.19679e41 | −0.186485 | −0.0932424 | − | 0.995643i | \(-0.529723\pi\) | ||||
−0.0932424 | + | 0.995643i | \(0.529723\pi\) | |||||||
\(798\) | −3.12267e40 | + | 7.44925e40i | −0.0260306 | + | 0.0620970i | ||||
\(799\) | 7.13526e41 | 0.584092 | ||||||||
\(800\) | 5.19251e41 | + | 8.99369e41i | 0.417419 | + | 0.722991i | ||||
\(801\) | −3.30087e41 | + | 5.71727e41i | −0.260589 | + | 0.451354i | ||||
\(802\) | −1.18757e42 | + | 2.05693e42i | −0.920726 | + | 1.59474i | ||||
\(803\) | −5.07588e40 | − | 8.79169e40i | −0.0386488 | − | 0.0669417i | ||||
\(804\) | 6.63617e41 | 0.496255 | ||||||||
\(805\) | −1.02394e41 | + | 1.30387e40i | −0.0752026 | + | 0.00957620i | ||||
\(806\) | −4.08830e42 | −2.94907 | ||||||||
\(807\) | 3.63594e41 | + | 6.29763e41i | 0.257603 | + | 0.446181i | ||||
\(808\) | 6.95966e40 | − | 1.20545e41i | 0.0484310 | − | 0.0838850i | ||||
\(809\) | −7.11426e41 | + | 1.23223e42i | −0.486268 | + | 0.842242i | −0.999875 | − | 0.0157839i | \(-0.994976\pi\) |
0.513607 | + | 0.858026i | \(0.328309\pi\) | |||||||
\(810\) | 7.26273e40 | + | 1.25794e41i | 0.0487604 | + | 0.0844554i | ||||
\(811\) | 2.34428e42 | 1.54599 | 0.772994 | − | 0.634413i | \(-0.218758\pi\) | ||||
0.772994 | + | 0.634413i | \(0.218758\pi\) | |||||||
\(812\) | −1.32842e42 | + | 1.69159e41i | −0.860541 | + | 0.109580i | ||||
\(813\) | −4.90353e41 | −0.312030 | ||||||||
\(814\) | 1.17680e41 | + | 2.03828e41i | 0.0735614 | + | 0.127412i | ||||
\(815\) | 4.15339e40 | − | 7.19388e40i | 0.0255045 | − | 0.0441752i | ||||
\(816\) | −6.32540e41 | + | 1.09559e42i | −0.381576 | + | 0.660908i | ||||
\(817\) | 2.91908e40 | + | 5.05599e40i | 0.0172992 | + | 0.0299631i | ||||
\(818\) | 1.87817e42 | 1.09348 | ||||||||
\(819\) | −3.37058e41 | + | 8.04064e41i | −0.192791 | + | 0.459911i | ||||
\(820\) | 1.49169e42 | 0.838258 | ||||||||
\(821\) | 1.35585e42 | + | 2.34839e42i | 0.748573 | + | 1.29657i | 0.948507 | + | 0.316758i | \(0.102594\pi\) |
−0.199933 | + | 0.979810i | \(0.564073\pi\) | |||||||
\(822\) | 4.28158e41 | − | 7.41591e41i | 0.232254 | − | 0.402275i | ||||
\(823\) | 9.88108e41 | − | 1.71145e42i | 0.526631 | − | 0.912152i | −0.472887 | − | 0.881123i | \(-0.656788\pi\) |
0.999518 | − | 0.0310291i | \(-0.00987847\pi\) | |||||||
\(824\) | 1.15521e41 | + | 2.00089e41i | 0.0604947 | + | 0.104780i | ||||
\(825\) | 2.05105e41 | 0.105534 | ||||||||
\(826\) | 2.46649e42 | + | 3.24278e42i | 1.24701 | + | 1.63948i | ||||
\(827\) | −2.63967e42 | −1.31136 | −0.655678 | − | 0.755041i | \(-0.727617\pi\) | ||||
−0.655678 | + | 0.755041i | \(0.727617\pi\) | |||||||
\(828\) | −3.84489e40 | − | 6.65954e40i | −0.0187691 | − | 0.0325091i | ||||
\(829\) | 1.05938e42 | − | 1.83490e42i | 0.508172 | − | 0.880180i | −0.491783 | − | 0.870718i | \(-0.663655\pi\) |
0.999955 | − | 0.00946239i | \(-0.00301202\pi\) | |||||||
\(830\) | 4.89772e41 | − | 8.48311e41i | 0.230867 | − | 0.399873i | ||||
\(831\) | 8.93123e41 | + | 1.54693e42i | 0.413710 | + | 0.716567i | ||||
\(832\) | 2.85905e42 | 1.30147 | ||||||||
\(833\) | 1.95580e42 | + | 1.98927e42i | 0.874927 | + | 0.889902i | ||||
\(834\) | −6.62634e40 | −0.0291317 | ||||||||
\(835\) | 2.33903e40 | + | 4.05132e40i | 0.0101061 | + | 0.0175042i | ||||
\(836\) | 2.80558e40 | − | 4.85941e40i | 0.0119133 | − | 0.0206344i | ||||
\(837\) | 3.26587e41 | − | 5.65665e41i | 0.136295 | − | 0.236070i | ||||
\(838\) | 1.01457e42 | + | 1.75729e42i | 0.416144 | + | 0.720783i | ||||
\(839\) | −1.12343e42 | −0.452896 | −0.226448 | − | 0.974023i | \(-0.572711\pi\) | ||||
−0.226448 | + | 0.974023i | \(0.572711\pi\) | |||||||
\(840\) | 4.89037e40 | + | 6.42955e40i | 0.0193773 | + | 0.0254760i | ||||
\(841\) | −3.66055e41 | −0.142562 | ||||||||
\(842\) | −9.55717e41 | − | 1.65535e42i | −0.365851 | − | 0.633672i | ||||
\(843\) | −1.39426e42 | + | 2.41492e42i | −0.524618 | + | 0.908664i | ||||
\(844\) | −1.97850e42 | + | 3.42686e42i | −0.731762 | + | 1.26745i | ||||
\(845\) | −1.07391e42 | − | 1.86007e42i | −0.390434 | − | 0.676251i | ||||
\(846\) | 6.07538e41 | 0.217122 | ||||||||
\(847\) | −9.99085e41 | + | 2.38335e42i | −0.350989 | + | 0.837296i | ||||
\(848\) | −4.58833e41 | −0.158458 | ||||||||
\(849\) | 2.75640e41 | + | 4.77423e41i | 0.0935796 | + | 0.162085i | ||||
\(850\) | 1.56706e42 | − | 2.71423e42i | 0.523012 | − | 0.905884i | ||||
\(851\) | 6.38048e40 | − | 1.10513e41i | 0.0209351 | − | 0.0362606i | ||||
\(852\) | 1.69891e41 | + | 2.94259e41i | 0.0548019 | + | 0.0949197i | ||||
\(853\) | 5.60597e42 | 1.77783 | 0.888915 | − | 0.458072i | \(-0.151460\pi\) | ||||
0.888915 | + | 0.458072i | \(0.151460\pi\) | |||||||
\(854\) | −7.00226e42 | + | 8.91659e41i | −2.18323 | + | 0.278010i | ||||
\(855\) | 5.74670e40 | 0.0176161 | ||||||||
\(856\) | −2.10111e40 | − | 3.63923e40i | −0.00633255 | − | 0.0109683i | ||||
\(857\) | −5.56322e41 | + | 9.63579e41i | −0.164856 | + | 0.285539i | −0.936604 | − | 0.350389i | \(-0.886049\pi\) |
0.771748 | + | 0.635928i | \(0.219383\pi\) | |||||||
\(858\) | 6.26081e41 | − | 1.08440e42i | 0.182417 | − | 0.315955i | ||||
\(859\) | −8.97124e41 | − | 1.55386e42i | −0.257011 | − | 0.445156i | 0.708429 | − | 0.705782i | \(-0.249404\pi\) |
−0.965440 | + | 0.260626i | \(0.916071\pi\) | |||||||
\(860\) | −8.65968e41 | −0.243935 | ||||||||
\(861\) | −2.93369e42 | + | 3.73572e41i | −0.812584 | + | 0.103473i | ||||
\(862\) | 4.51020e42 | 1.22840 | ||||||||
\(863\) | −1.72536e42 | − | 2.98841e42i | −0.462086 | − | 0.800357i | 0.536978 | − | 0.843596i | \(-0.319566\pi\) |
−0.999065 | + | 0.0432388i | \(0.986232\pi\) | |||||||
\(864\) | −5.06463e41 | + | 8.77219e41i | −0.133382 | + | 0.231025i | ||||
\(865\) | 9.81706e41 | − | 1.70036e42i | 0.254242 | − | 0.440361i | ||||
\(866\) | 9.79038e41 | + | 1.69574e42i | 0.249339 | + | 0.431868i | ||||
\(867\) | 1.28499e42 | 0.321828 | ||||||||
\(868\) | −2.08282e42 | + | 4.96864e42i | −0.512998 | + | 1.22378i | ||||
\(869\) | 1.79445e41 | 0.0434655 | ||||||||
\(870\) | 9.84871e41 | + | 1.70585e42i | 0.234612 | + | 0.406360i | ||||
\(871\) | 2.92943e42 | − | 5.07392e42i | 0.686309 | − | 1.18872i | ||||
\(872\) | 1.43680e41 | − | 2.48861e41i | 0.0331060 | − | 0.0573413i | ||||
\(873\) | 1.30561e42 | + | 2.26138e42i | 0.295874 | + | 0.512469i | ||||
\(874\) | −6.28973e40 | −0.0140190 | ||||||||
\(875\) | −2.79050e42 | − | 3.66877e42i | −0.611737 | − | 0.804273i | ||||
\(876\) | −6.38877e41 | −0.137755 | ||||||||
\(877\) | −9.76251e39 | − | 1.69092e40i | −0.00207046 | − | 0.00358615i | 0.864988 | − | 0.501792i | \(-0.167326\pi\) |
−0.867059 | + | 0.498206i | \(0.833992\pi\) | |||||||
\(878\) | 1.57701e42 | − | 2.73147e42i | 0.328976 | − | 0.569804i | ||||
\(879\) | −1.00698e42 | + | 1.74414e42i | −0.206624 | + | 0.357884i | ||||
\(880\) | −5.02217e41 | − | 8.69865e41i | −0.101366 | − | 0.175571i | ||||
\(881\) | 9.61745e41 | 0.190945 | 0.0954727 | − | 0.995432i | \(-0.469564\pi\) | ||||
0.0954727 | + | 0.995432i | \(0.469564\pi\) | |||||||
\(882\) | 1.66528e42 | + | 1.69379e42i | 0.325232 | + | 0.330799i | ||||
\(883\) | −8.83239e42 | −1.69687 | −0.848433 | − | 0.529302i | \(-0.822454\pi\) | ||||
−0.848433 | + | 0.529302i | \(0.822454\pi\) | |||||||
\(884\) | −4.62745e42 | − | 8.01498e42i | −0.874548 | − | 1.51476i | ||||
\(885\) | 1.44933e42 | − | 2.51031e42i | 0.269457 | − | 0.466713i | ||||
\(886\) | −1.29556e42 | + | 2.24397e42i | −0.236956 | + | 0.410419i | ||||
\(887\) | −1.87602e42 | − | 3.24937e42i | −0.337556 | − | 0.584664i | 0.646416 | − | 0.762985i | \(-0.276267\pi\) |
−0.983972 | + | 0.178321i | \(0.942934\pi\) | |||||||
\(888\) | −9.98675e40 | −0.0176781 | ||||||||
\(889\) | −2.39235e42 | − | 3.14531e42i | −0.416629 | − | 0.547757i | ||||
\(890\) | −8.00944e42 | −1.37229 | ||||||||
\(891\) | 1.00027e41 | + | 1.73251e41i | 0.0168612 | + | 0.0292045i | ||||
\(892\) | −1.15664e42 | + | 2.00335e42i | −0.191826 | + | 0.332252i | ||||
\(893\) | 1.20180e41 | − | 2.08158e41i | 0.0196104 | − | 0.0339662i | ||||
\(894\) | −2.09580e42 | − | 3.63004e42i | −0.336478 | − | 0.582797i | ||||
\(895\) | 4.55383e42 | 0.719354 | ||||||||
\(896\) | −4.36430e41 | + | 1.04112e42i | −0.0678342 | + | 0.161821i | ||||
\(897\) | −6.78906e41 | −0.103829 | ||||||||
\(898\) | −5.42002e42 | − | 9.38775e42i | −0.815632 | − | 1.41272i | ||||
\(899\) | 4.42872e42 | − | 7.67076e42i | 0.655786 | − | 1.13586i | ||||
\(900\) | 6.45388e41 | − | 1.11784e42i | 0.0940382 | − | 0.162879i | ||||
\(901\) | 6.51072e41 | + | 1.12769e42i | 0.0933512 | + | 0.161689i | ||||
\(902\) | 4.24741e42 | 0.599279 | ||||||||
\(903\) | 1.70309e42 | − | 2.16869e41i | 0.236464 | − | 0.0301110i | ||||
\(904\) | 1.04267e42 | 0.142464 | ||||||||
\(905\) | −2.30145e42 | − | 3.98623e42i | −0.309455 | − | 0.535991i | ||||
\(906\) | 5.11187e42 | − | 8.85402e42i | 0.676427 | − | 1.17161i | ||||
\(907\) | 6.73345e42 | − | 1.16627e43i | 0.876863 | − | 1.51877i | 0.0220986 | − | 0.999756i | \(-0.492965\pi\) |
0.854765 | − | 0.519016i | \(-0.173701\pi\) | |||||||
\(908\) | −8.04406e41 | − | 1.39327e42i | −0.103093 | − | 0.178563i | ||||
\(909\) | −2.91195e42 | −0.367289 | ||||||||
\(910\) | −1.04929e43 | + | 1.33615e42i | −1.30255 | + | 0.165865i | ||||
\(911\) | 1.02274e43 | 1.24953 | 0.624767 | − | 0.780811i | \(-0.285194\pi\) | ||||
0.624767 | + | 0.780811i | \(0.285194\pi\) | |||||||
\(912\) | 2.13079e41 | + | 3.69063e41i | 0.0256221 | + | 0.0443788i | ||||
\(913\) | 6.74544e41 | − | 1.16834e42i | 0.0798332 | − | 0.138275i | ||||
\(914\) | −9.61409e41 | + | 1.66521e42i | −0.111992 | + | 0.193977i | ||||
\(915\) | 2.51104e42 | + | 4.34926e42i | 0.287905 | + | 0.498665i | ||||
\(916\) | 3.60224e42 | 0.406526 | ||||||||
\(917\) | −6.52129e42 | + | 1.55568e43i | −0.724400 | + | 1.72808i | ||||
\(918\) | 3.05694e42 | 0.334247 | ||||||||
\(919\) | 4.05933e42 | + | 7.03096e42i | 0.436897 | + | 0.756728i | 0.997448 | − | 0.0713919i | \(-0.0227441\pi\) |
−0.560551 | + | 0.828120i | \(0.689411\pi\) | |||||||
\(920\) | −3.14516e40 | + | 5.44758e40i | −0.00333211 | + | 0.00577139i | ||||
\(921\) | 1.35404e42 | − | 2.34527e42i | 0.141211 | − | 0.244584i | ||||
\(922\) | 6.78294e42 | + | 1.17484e43i | 0.696337 | + | 1.20609i | ||||
\(923\) | 2.99982e42 | 0.303159 | ||||||||
\(924\) | −9.98947e41 | − | 1.31335e42i | −0.0993800 | − | 0.130659i | ||||
\(925\) | 2.14200e42 | 0.209780 | ||||||||
\(926\) | 6.23716e41 | + | 1.08031e42i | 0.0601351 | + | 0.104157i | ||||
\(927\) | 2.41673e42 | − | 4.18590e42i | 0.229389 | − | 0.397313i | ||||
\(928\) | −6.86795e42 | + | 1.18956e43i | −0.641773 | + | 1.11158i | ||||
\(929\) | 6.29384e42 | + | 1.09013e43i | 0.579013 | + | 1.00288i | 0.995593 | + | 0.0937805i | \(0.0298952\pi\) |
−0.416580 | + | 0.909099i | \(0.636771\pi\) | |||||||
\(930\) | 7.92452e42 | 0.717745 | ||||||||
\(931\) | 9.09751e41 | − | 2.35512e41i | 0.0811245 | − | 0.0210011i | ||||
\(932\) | 6.87395e42 | 0.603498 | ||||||||
\(933\) | −6.74144e41 | − | 1.16765e42i | −0.0582732 | − | 0.100932i | ||||
\(934\) | 6.96415e42 | − | 1.20623e43i | 0.592705 | − | 1.02659i | ||||
\(935\) | −1.42527e42 | + | 2.46863e42i | −0.119434 | + | 0.206866i | ||||
\(936\) | 2.65657e41 | + | 4.60131e41i | 0.0219190 | + | 0.0379648i | ||||
\(937\) | −1.97732e43 | −1.60640 | −0.803198 | − | 0.595712i | \(-0.796870\pi\) | ||||
−0.803198 | + | 0.595712i | \(0.796870\pi\) | |||||||
\(938\) | −9.66329e42 | − | 1.27047e43i | −0.773008 | − | 1.01630i | ||||
\(939\) | 5.61793e42 | 0.442512 | ||||||||
\(940\) | 1.78262e42 | + | 3.08759e42i | 0.138263 | + | 0.239478i | ||||
\(941\) | −3.10870e42 | + | 5.38442e42i | −0.237426 | + | 0.411235i | −0.959975 | − | 0.280085i | \(-0.909637\pi\) |
0.722549 | + | 0.691320i | \(0.242971\pi\) | |||||||
\(942\) | −7.16889e42 | + | 1.24169e43i | −0.539156 | + | 0.933845i | ||||
\(943\) | −1.15145e42 | − | 1.99436e42i | −0.0852754 | − | 0.147701i | ||||
\(944\) | 2.14956e43 | 1.56767 | ||||||||
\(945\) | 6.53332e41 | − | 1.55855e42i | 0.0469216 | − | 0.111933i | ||||
\(946\) | −2.46574e42 | −0.174392 | ||||||||
\(947\) | −1.08764e43 | − | 1.88386e43i | −0.757552 | − | 1.31212i | −0.944096 | − | 0.329672i | \(-0.893062\pi\) |
0.186544 | − | 0.982447i | \(-0.440271\pi\) | |||||||
\(948\) | 5.64647e41 | − | 9.77997e41i | 0.0387307 | − | 0.0670836i | ||||
\(949\) | −2.82022e42 | + | 4.88476e42i | −0.190512 | + | 0.329977i | ||||
\(950\) | −5.27884e41 | − | 9.14322e41i | −0.0351193 | − | 0.0608285i | ||||
\(951\) | 6.25997e42 | 0.410161 | ||||||||
\(952\) | 1.68644e42 | − | 2.14749e41i | 0.108827 | − | 0.0138578i | ||||
\(953\) | 2.26022e43 | 1.43649 | 0.718246 | − | 0.695789i | \(-0.244945\pi\) | ||||
0.718246 | + | 0.695789i | \(0.244945\pi\) | |||||||
\(954\) | 5.54361e41 | + | 9.60182e41i | 0.0347010 | + | 0.0601038i | ||||
\(955\) | −6.58799e42 | + | 1.14107e43i | −0.406166 | + | 0.703501i | ||||
\(956\) | −1.33478e43 | + | 2.31190e43i | −0.810530 | + | 1.40388i | ||||
\(957\) | 1.35642e42 | + | 2.34939e42i | 0.0811282 | + | 0.140518i | ||||
\(958\) | 3.07992e43 | 1.81443 | ||||||||
\(959\) | −9.88289e42 | + | 1.25847e42i | −0.573474 | + | 0.0730255i | ||||
\(960\) | −5.54180e42 | −0.316751 | ||||||||
\(961\) | −8.93634e42 | − | 1.54782e43i | −0.503119 | − | 0.871427i | ||||
\(962\) | 6.53845e42 | − | 1.13249e43i | 0.362607 | − | 0.628054i | ||||
\(963\) | −4.39556e41 | + | 7.61334e41i | −0.0240123 | + | 0.0415905i | ||||
\(964\) | 9.26518e42 | + | 1.60478e43i | 0.498582 | + | 0.863570i | ||||
\(965\) | −1.02120e43 | −0.541332 | ||||||||
\(966\) | −7.15069e41 | + | 1.70582e42i | −0.0373404 | + | 0.0890770i | ||||
\(967\) | −1.97067e43 | −1.01375 | −0.506873 | − | 0.862020i | \(-0.669199\pi\) | ||||
−0.506873 | + | 0.862020i | \(0.669199\pi\) | |||||||
\(968\) | 7.87442e41 | + | 1.36389e42i | 0.0399049 | + | 0.0691173i | ||||
\(969\) | 6.04707e41 | − | 1.04738e42i | 0.0301891 | − | 0.0522891i | ||||
\(970\) | −1.58401e43 | + | 2.74358e43i | −0.779054 | + | 1.34936i | ||||
\(971\) | −1.71338e43 | − | 2.96766e43i | −0.830185 | − | 1.43792i | −0.897892 | − | 0.440217i | \(-0.854902\pi\) |
0.0677069 | − | 0.997705i | \(-0.478432\pi\) | |||||||
\(972\) | 1.25899e42 | 0.0600980 | ||||||||
\(973\) | 4.66715e41 | + | 6.13608e41i | 0.0219491 | + | 0.0288572i | ||||
\(974\) | 4.93226e43 | 2.28529 | ||||||||
\(975\) | −5.69792e42 | − | 9.86909e42i | −0.260105 | − | 0.450516i | ||||
\(976\) | −1.86211e43 | + | 3.22528e43i | −0.837498 | + | 1.45059i | ||||
\(977\) | −5.16850e42 | + | 8.95210e42i | −0.229031 | + | 0.396692i | −0.957521 | − | 0.288363i | \(-0.906889\pi\) |
0.728491 | + | 0.685056i | \(0.240222\pi\) | |||||||
\(978\) | −7.44258e41 | − | 1.28909e42i | −0.0324945 | − | 0.0562821i | ||||
\(979\) | −1.10311e43 | −0.474536 | ||||||||
\(980\) | −3.72182e42 | + | 1.34330e43i | −0.157753 | + | 0.569372i | ||||
\(981\) | −6.01163e42 | −0.251068 | ||||||||
\(982\) | −2.78475e43 | − | 4.82332e43i | −1.14596 | − | 1.98486i | ||||
\(983\) | −1.58293e43 | + | 2.74172e43i | −0.641855 | + | 1.11173i | 0.343163 | + | 0.939276i | \(0.388502\pi\) |
−0.985018 | + | 0.172450i | \(0.944832\pi\) | |||||||
\(984\) | −9.01123e41 | + | 1.56079e42i | −0.0360044 | + | 0.0623614i | ||||
\(985\) | 2.28646e42 | + | 3.96027e42i | 0.0900199 | + | 0.155919i | ||||
\(986\) | 4.14540e43 | 1.60824 | ||||||||
\(987\) | −4.27909e42 | − | 5.62588e42i | −0.163589 | − | 0.215076i | ||||
\(988\) | −3.11763e42 | −0.117449 | ||||||||
\(989\) | 6.68446e41 | + | 1.15778e42i | 0.0248153 | + | 0.0429814i | ||||
\(990\) | −1.21356e42 | + | 2.10194e42i | −0.0443966 | + | 0.0768971i | ||||
\(991\) | −2.16589e43 | + | 3.75144e43i | −0.780852 | + | 1.35248i | 0.150593 | + | 0.988596i | \(0.451882\pi\) |
−0.931446 | + | 0.363880i | \(0.881452\pi\) | |||||||
\(992\) | 2.76306e43 | + | 4.78576e43i | 0.981683 | + | 1.70032i | ||||
\(993\) | −2.17266e43 | −0.760725 | ||||||||
\(994\) | 3.15961e42 | − | 7.53737e42i | 0.109026 | − | 0.260086i | ||||
\(995\) | −9.36664e42 | −0.318529 | ||||||||
\(996\) | −4.24507e42 | − | 7.35268e42i | −0.142274 | − | 0.246425i | ||||
\(997\) | 3.97926e42 | − | 6.89229e42i | 0.131439 | − | 0.227658i | −0.792793 | − | 0.609491i | \(-0.791374\pi\) |
0.924231 | + | 0.381833i | \(0.124707\pi\) | |||||||
\(998\) | −4.10642e42 | + | 7.11252e42i | −0.133681 | + | 0.231543i | ||||
\(999\) | 1.04462e42 | + | 1.80934e42i | 0.0335166 | + | 0.0580525i |
(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 | 21.30.e.b.4.16 | ✓ | 40 | |
7.2 | even | 3 | inner | 21.30.e.b.16.16 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.30.e.b.4.16 | ✓ | 40 | 1.1 | even | 1 | trivial | |
21.30.e.b.16.16 | yes | 40 | 7.2 | even | 3 | inner |