Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,13,Mod(2,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.2");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.d (of order \(10\), degree \(4\), 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: | \(10.0539319900\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 6.1 | ||
Character | \(\chi\) | \(=\) | 11.6 |
Dual form | 11.13.d.a.2.1 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −102.224 | + | 33.2144i | −1.59724 | + | 0.518976i | −0.966424 | − | 0.256954i | \(-0.917281\pi\) |
−0.630819 | + | 0.775930i | \(0.717281\pi\) | |||||||
\(3\) | −276.412 | − | 200.825i | −0.379167 | − | 0.275481i | 0.381835 | − | 0.924230i | \(-0.375292\pi\) |
−0.761002 | + | 0.648750i | \(0.775292\pi\) | |||||||
\(4\) | 6032.72 | − | 4383.03i | 1.47283 | − | 1.07007i | ||||
\(5\) | −6925.60 | + | 21314.8i | −0.443239 | + | 1.36415i | 0.441165 | + | 0.897426i | \(0.354565\pi\) |
−0.884404 | + | 0.466722i | \(0.845435\pi\) | |||||||
\(6\) | 34926.2 | + | 11348.2i | 0.748589 | + | 0.243231i | ||||
\(7\) | 128352. | + | 176662.i | 1.09098 | + | 1.50160i | 0.846829 | + | 0.531865i | \(0.178509\pi\) |
0.244149 | + | 0.969738i | \(0.421491\pi\) | |||||||
\(8\) | −212330. | + | 292248.i | −0.809976 | + | 1.11484i | ||||
\(9\) | −128151. | − | 394409.i | −0.241139 | − | 0.742150i | ||||
\(10\) | − | 2.40891e6i | − | 2.40891i | ||||||
\(11\) | −964895. | + | 1.48573e6i | −0.544658 | + | 0.838658i | ||||
\(12\) | −2.54774e6 | −0.853233 | ||||||||
\(13\) | 2.85246e6 | − | 926820.i | 0.590961 | − | 0.192015i | 0.00175617 | − | 0.999998i | \(-0.499441\pi\) |
0.589205 | + | 0.807983i | \(0.299441\pi\) | |||||||
\(14\) | −1.89884e7 | − | 1.37959e7i | −2.52185 | − | 1.83223i | ||||
\(15\) | 6.19488e6 | − | 4.50084e6i | 0.543858 | − | 0.395136i | ||||
\(16\) | 2.55994e6 | − | 7.87867e6i | 0.152584 | − | 0.469606i | ||||
\(17\) | −2.47333e7 | − | 8.03634e6i | −1.02468 | − | 0.332939i | −0.251995 | − | 0.967728i | \(-0.581087\pi\) |
−0.772685 | + | 0.634790i | \(0.781087\pi\) | |||||||
\(18\) | 2.62002e7 | + | 3.60614e7i | 0.770316 | + | 1.06025i | ||||
\(19\) | −1.37957e7 | + | 1.89881e7i | −0.293239 | + | 0.403608i | −0.930063 | − | 0.367401i | \(-0.880248\pi\) |
0.636824 | + | 0.771009i | \(0.280248\pi\) | |||||||
\(20\) | 5.16432e7 | + | 1.58941e8i | 0.806925 | + | 2.48346i | ||||
\(21\) | − | 7.46080e7i | − | 0.869901i | ||||||
\(22\) | 4.92871e7 | − | 1.83925e8i | 0.434708 | − | 1.62220i | ||||
\(23\) | −2.03166e7 | −0.137241 | −0.0686204 | − | 0.997643i | \(-0.521860\pi\) | ||||
−0.0686204 | + | 0.997643i | \(0.521860\pi\) | |||||||
\(24\) | 1.17382e8 | − | 3.81396e7i | 0.614232 | − | 0.199576i | ||||
\(25\) | −2.08843e8 | − | 1.51734e8i | −0.855422 | − | 0.621501i | ||||
\(26\) | −2.60804e8 | + | 1.89486e8i | −0.844258 | + | 0.613389i | ||||
\(27\) | −9.98944e7 | + | 3.07443e8i | −0.257845 | + | 0.793565i | ||||
\(28\) | 1.54863e9 | + | 5.03180e8i | 3.21365 | + | 1.04418i | ||||
\(29\) | −2.97287e8 | − | 4.09181e8i | −0.499791 | − | 0.687903i | 0.482366 | − | 0.875970i | \(-0.339778\pi\) |
−0.982156 | + | 0.188067i | \(0.939778\pi\) | |||||||
\(30\) | −4.83769e8 | + | 6.65851e8i | −0.663607 | + | 0.913376i | ||||
\(31\) | −3.09488e7 | − | 9.52506e7i | −0.0348717 | − | 0.107324i | 0.932106 | − | 0.362187i | \(-0.117970\pi\) |
−0.966977 | + | 0.254863i | \(0.917970\pi\) | |||||||
\(32\) | − | 5.89219e8i | − | 0.548753i | ||||||
\(33\) | 5.65082e8 | − | 2.16900e8i | 0.437550 | − | 0.167948i | ||||
\(34\) | 2.79525e9 | 1.80945 | ||||||||
\(35\) | −4.65444e9 | + | 1.51232e9i | −2.53197 | + | 0.822687i | ||||
\(36\) | −2.50181e9 | − | 1.81767e9i | −1.14931 | − | 0.835025i | ||||
\(37\) | 3.00640e8 | − | 2.18427e8i | 0.117175 | − | 0.0851328i | −0.527654 | − | 0.849459i | \(-0.676928\pi\) |
0.644830 | + | 0.764326i | \(0.276928\pi\) | |||||||
\(38\) | 7.79562e8 | − | 2.39925e9i | 0.258910 | − | 0.796844i | ||||
\(39\) | −9.74583e8 | − | 3.16661e8i | −0.276969 | − | 0.0899927i | ||||
\(40\) | −4.75869e9 | − | 6.54977e9i | −1.16179 | − | 1.59907i | ||||
\(41\) | 5.62742e7 | − | 7.74548e7i | 0.0118469 | − | 0.0163059i | −0.803052 | − | 0.595908i | \(-0.796792\pi\) |
0.814899 | + | 0.579602i | \(0.196792\pi\) | |||||||
\(42\) | 2.47806e9 | + | 7.62669e9i | 0.451457 | + | 1.38944i | ||||
\(43\) | − | 1.17244e10i | − | 1.85473i | −0.374153 | − | 0.927367i | \(-0.622066\pi\) | ||
0.374153 | − | 0.927367i | \(-0.377934\pi\) | |||||||
\(44\) | 6.91074e8 | + | 1.31922e10i | 0.0952377 | + | 1.81803i | ||||
\(45\) | 9.29428e9 | 1.11929 | ||||||||
\(46\) | 2.07683e9 | − | 6.74803e8i | 0.219207 | − | 0.0712246i | ||||
\(47\) | 3.70325e9 | + | 2.69057e9i | 0.343555 | + | 0.249607i | 0.746160 | − | 0.665766i | \(-0.231895\pi\) |
−0.402605 | + | 0.915374i | \(0.631895\pi\) | |||||||
\(48\) | −2.28984e9 | + | 1.66366e9i | −0.187222 | + | 0.136025i | ||||
\(49\) | −1.04579e10 | + | 3.21862e10i | −0.755560 | + | 2.32537i | ||||
\(50\) | 2.63884e10 | + | 8.57413e9i | 1.68886 | + | 0.548744i | ||||
\(51\) | 5.22269e9 | + | 7.18842e9i | 0.296806 | + | 0.408519i | ||||
\(52\) | 1.31458e10 | − | 1.80936e10i | 0.664916 | − | 0.915178i | ||||
\(53\) | 1.37108e8 | + | 4.21975e8i | 0.00618597 | + | 0.0190385i | 0.954102 | − | 0.299482i | \(-0.0968139\pi\) |
−0.947916 | + | 0.318521i | \(0.896814\pi\) | |||||||
\(54\) | − | 3.47459e10i | − | 1.40133i | ||||||
\(55\) | −2.49857e10 | − | 3.08562e10i | −0.902641 | − | 1.11472i | ||||
\(56\) | −7.88822e10 | −2.55771 | ||||||||
\(57\) | 7.62659e9 | − | 2.47803e9i | 0.222372 | − | 0.0722532i | ||||
\(58\) | 4.39804e10 | + | 3.19537e10i | 1.15529 | + | 0.839369i | ||||
\(59\) | −1.02896e10 | + | 7.47584e9i | −0.243942 | + | 0.177234i | −0.703038 | − | 0.711152i | \(-0.748174\pi\) |
0.459096 | + | 0.888387i | \(0.348174\pi\) | |||||||
\(60\) | 1.76446e10 | − | 5.43046e10i | 0.378186 | − | 1.16394i | ||||
\(61\) | −3.68200e10 | − | 1.19635e10i | −0.714668 | − | 0.232210i | −0.0709580 | − | 0.997479i | \(-0.522606\pi\) |
−0.643710 | + | 0.765270i | \(0.722606\pi\) | |||||||
\(62\) | 6.32739e9 | + | 8.70890e9i | 0.111397 | + | 0.153325i | ||||
\(63\) | 5.32286e10 | − | 7.32629e10i | 0.851337 | − | 1.17177i | ||||
\(64\) | 3.00561e10 | + | 9.25031e10i | 0.437373 | + | 1.34610i | ||||
\(65\) | 6.72184e10i | 0.891267i | ||||||||
\(66\) | −5.05605e10 | + | 4.09412e10i | −0.611713 | + | 0.495332i | ||||
\(67\) | −1.66979e11 | −1.84592 | −0.922962 | − | 0.384892i | \(-0.874239\pi\) | ||||
−0.922962 | + | 0.384892i | \(0.874239\pi\) | |||||||
\(68\) | −1.84432e11 | + | 5.99257e10i | −1.86545 | + | 0.606122i | ||||
\(69\) | 5.61575e9 | + | 4.08008e9i | 0.0520371 | + | 0.0378072i | ||||
\(70\) | 4.25562e11 | − | 3.09189e11i | 3.61722 | − | 2.62806i | ||||
\(71\) | −1.67949e10 | + | 5.16894e10i | −0.131108 | + | 0.403508i | −0.994964 | − | 0.100230i | \(-0.968042\pi\) |
0.863857 | + | 0.503738i | \(0.168042\pi\) | |||||||
\(72\) | 1.42476e11 | + | 4.62931e10i | 1.02269 | + | 0.332293i | ||||
\(73\) | −9.50064e10 | − | 1.30765e11i | −0.627792 | − | 0.864081i | 0.370099 | − | 0.928992i | \(-0.379324\pi\) |
−0.997891 | + | 0.0649109i | \(0.979324\pi\) | |||||||
\(74\) | −2.34775e10 | + | 3.23140e10i | −0.142975 | + | 0.196789i | ||||
\(75\) | 2.72549e10 | + | 8.38821e10i | 0.153136 | + | 0.471304i | ||||
\(76\) | 1.75017e11i | 0.908234i | ||||||||
\(77\) | −3.86320e11 | + | 2.02374e10i | −1.85354 | + | 0.0970981i | ||||
\(78\) | 1.10143e11 | 0.489091 | ||||||||
\(79\) | 2.26473e11 | − | 7.35856e10i | 0.931653 | − | 0.302712i | 0.196414 | − | 0.980521i | \(-0.437070\pi\) |
0.735238 | + | 0.677809i | \(0.237070\pi\) | |||||||
\(80\) | 1.50203e11 | + | 1.09129e11i | 0.572980 | + | 0.416295i | ||||
\(81\) | −8.89464e10 | + | 6.46233e10i | −0.314933 | + | 0.228812i | ||||
\(82\) | −3.17993e9 | + | 9.78682e9i | −0.0104601 | + | 0.0321928i | ||||
\(83\) | 1.21293e11 | + | 3.94106e10i | 0.370995 | + | 0.120544i | 0.488580 | − | 0.872519i | \(-0.337515\pi\) |
−0.117585 | + | 0.993063i | \(0.537515\pi\) | |||||||
\(84\) | −3.27009e11 | − | 4.50089e11i | −0.930859 | − | 1.28122i | ||||
\(85\) | 3.42586e11 | − | 4.71529e11i | 0.908356 | − | 1.25024i | ||||
\(86\) | 3.89421e11 | + | 1.19851e12i | 0.962562 | + | 2.96246i | ||||
\(87\) | 1.72805e11i | 0.398512i | ||||||||
\(88\) | −2.29326e11 | − | 5.97455e11i | −0.493807 | − | 1.28650i | ||||
\(89\) | 3.52477e11 | 0.709236 | 0.354618 | − | 0.935011i | \(-0.384611\pi\) | ||||
0.354618 | + | 0.935011i | \(0.384611\pi\) | |||||||
\(90\) | −9.50094e11 | + | 3.08704e11i | −1.78777 | + | 0.580882i | ||||
\(91\) | 5.29854e11 | + | 3.84961e11i | 0.933056 | + | 0.677905i | ||||
\(92\) | −1.22564e11 | + | 8.90480e10i | −0.202132 | + | 0.146858i | ||||
\(93\) | −1.05741e10 | + | 3.25437e10i | −0.0163435 | + | 0.0503002i | ||||
\(94\) | −4.67925e11 | − | 1.52038e11i | −0.678281 | − | 0.220387i | ||||
\(95\) | −3.09185e11 | − | 4.25556e11i | −0.420607 | − | 0.578915i | ||||
\(96\) | −1.18330e11 | + | 1.62867e11i | −0.151171 | + | 0.208069i | ||||
\(97\) | 6.99748e10 | + | 2.15360e11i | 0.0840062 | + | 0.258544i | 0.984233 | − | 0.176877i | \(-0.0565994\pi\) |
−0.900227 | + | 0.435421i | \(0.856599\pi\) | |||||||
\(98\) | − | 3.63754e12i | − | 4.10631i | ||||||
\(99\) | 7.09640e11 | + | 1.90165e11i | 0.753749 | + | 0.201985i | ||||
\(100\) | −1.92494e12 | −1.92494 | ||||||||
\(101\) | −5.73087e11 | + | 1.86207e11i | −0.539874 | + | 0.175416i | −0.566245 | − | 0.824237i | \(-0.691605\pi\) |
0.0263719 | + | 0.999652i | \(0.491605\pi\) | |||||||
\(102\) | −7.72641e11 | − | 5.61357e11i | −0.686083 | − | 0.498469i | ||||
\(103\) | 6.83345e11 | − | 4.96479e11i | 0.572291 | − | 0.415793i | −0.263646 | − | 0.964620i | \(-0.584925\pi\) |
0.835937 | + | 0.548826i | \(0.184925\pi\) | |||||||
\(104\) | −3.34803e11 | + | 1.03042e12i | −0.264599 | + | 0.814353i | ||||
\(105\) | 1.59026e12 | + | 5.16705e11i | 1.18667 | + | 0.385574i | ||||
\(106\) | −2.80313e10 | − | 3.85818e10i | −0.0197610 | − | 0.0271987i | ||||
\(107\) | −1.60851e11 | + | 2.21392e11i | −0.107182 | + | 0.147523i | −0.859238 | − | 0.511576i | \(-0.829062\pi\) |
0.752057 | + | 0.659098i | \(0.229062\pi\) | |||||||
\(108\) | 7.44897e11 | + | 2.29256e12i | 0.469412 | + | 1.44470i | ||||
\(109\) | 2.05500e12i | 1.22533i | 0.790343 | + | 0.612665i | \(0.209902\pi\) | ||||
−0.790343 | + | 0.612665i | \(0.790098\pi\) | |||||||
\(110\) | 3.57899e12 | + | 2.32434e12i | 2.02025 | + | 1.31203i | ||||
\(111\) | −1.26966e11 | −0.0678814 | ||||||||
\(112\) | 1.72044e12 | − | 5.59004e11i | 0.871627 | − | 0.283209i | ||||
\(113\) | 2.07295e12 | + | 1.50608e12i | 0.995675 | + | 0.723400i | 0.961157 | − | 0.276004i | \(-0.0890102\pi\) |
0.0345185 | + | 0.999404i | \(0.489010\pi\) | |||||||
\(114\) | −6.97310e11 | + | 5.06626e11i | −0.317685 | + | 0.230812i | ||||
\(115\) | 1.40704e11 | − | 4.33043e11i | 0.0608304 | − | 0.187217i | ||||
\(116\) | −3.58690e12 | − | 1.16545e12i | −1.47221 | − | 0.478352i | ||||
\(117\) | −7.31092e11 | − | 1.00626e12i | −0.285008 | − | 0.392280i | ||||
\(118\) | 8.03535e11 | − | 1.10597e12i | 0.297655 | − | 0.409686i | ||||
\(119\) | −1.75486e12 | − | 5.40092e12i | −0.617962 | − | 1.90189i | ||||
\(120\) | 2.76610e12i | 0.926363i | ||||||||
\(121\) | −1.27638e12 | − | 2.86715e12i | −0.406695 | − | 0.913564i | ||||
\(122\) | 4.16123e12 | 1.26201 | ||||||||
\(123\) | −3.11098e10 | + | 1.01082e10i | −0.00898393 | + | 0.00291906i | ||||
\(124\) | −6.04191e11 | − | 4.38970e11i | −0.166205 | − | 0.120755i | ||||
\(125\) | 2.53911e11 | − | 1.84477e11i | 0.0665612 | − | 0.0483596i | ||||
\(126\) | −3.00783e12 | + | 9.25715e12i | −0.751675 | + | 2.31342i | ||||
\(127\) | −2.26703e12 | − | 7.36603e11i | −0.540300 | − | 0.175554i | 0.0261380 | − | 0.999658i | \(-0.491679\pi\) |
−0.566438 | + | 0.824104i | \(0.691679\pi\) | |||||||
\(128\) | −4.72629e12 | − | 6.50518e12i | −1.07463 | − | 1.47911i | ||||
\(129\) | −2.35457e12 | + | 3.24078e12i | −0.510943 | + | 0.703253i | ||||
\(130\) | −2.23262e12 | − | 6.87130e12i | −0.462546 | − | 1.42357i | ||||
\(131\) | 6.26574e12i | 1.23978i | 0.784689 | + | 0.619890i | \(0.212823\pi\) | ||||
−0.784689 | + | 0.619890i | \(0.787177\pi\) | |||||||
\(132\) | 2.45830e12 | − | 3.78527e12i | 0.464720 | − | 0.715571i | ||||
\(133\) | −5.12519e12 | −0.925976 | ||||||||
\(134\) | 1.70692e13 | − | 5.54612e12i | 2.94839 | − | 0.957989i | ||||
\(135\) | −5.86127e12 | − | 4.25846e12i | −0.968253 | − | 0.703477i | ||||
\(136\) | 7.60023e12 | − | 5.52189e12i | 1.20114 | − | 0.872679i | ||||
\(137\) | 1.17473e12 | − | 3.61546e12i | 0.177671 | − | 0.546815i | −0.822074 | − | 0.569380i | \(-0.807183\pi\) |
0.999745 | + | 0.0225651i | \(0.00718331\pi\) | |||||||
\(138\) | −7.09579e11 | − | 2.30556e11i | −0.102737 | − | 0.0333812i | ||||
\(139\) | 5.66062e12 | + | 7.79118e12i | 0.784830 | + | 1.08023i | 0.994733 | + | 0.102503i | \(0.0326852\pi\) |
−0.209903 | + | 0.977722i | \(0.567315\pi\) | |||||||
\(140\) | −2.14504e13 | + | 2.95239e13i | −2.84883 | + | 3.92108i | ||||
\(141\) | −4.83290e11 | − | 1.48741e12i | −0.0615026 | − | 0.189286i | ||||
\(142\) | − | 5.84171e12i | − | 0.712541i | ||||||
\(143\) | −1.37531e12 | + | 5.13228e12i | −0.160837 | + | 0.600197i | ||||
\(144\) | −3.43548e12 | −0.385312 | ||||||||
\(145\) | 1.07805e13 | − | 3.50280e12i | 1.15993 | − | 0.376883i | ||||
\(146\) | 1.40552e13 | + | 1.02117e13i | 1.45117 | + | 1.05434i | ||||
\(147\) | 9.35450e12 | − | 6.79644e12i | 0.927079 | − | 0.673562i | ||||
\(148\) | 8.56301e11 | − | 2.63542e12i | 0.0814809 | − | 0.250772i | ||||
\(149\) | −1.95305e13 | − | 6.34586e12i | −1.78483 | − | 0.579926i | −0.785583 | − | 0.618756i | \(-0.787637\pi\) |
−0.999246 | + | 0.0388297i | \(0.987637\pi\) | |||||||
\(150\) | −5.57219e12 | − | 7.66946e12i | −0.489191 | − | 0.673314i | ||||
\(151\) | −1.85380e12 | + | 2.55153e12i | −0.156387 | + | 0.215248i | −0.880020 | − | 0.474937i | \(-0.842471\pi\) |
0.723633 | + | 0.690185i | \(0.242471\pi\) | |||||||
\(152\) | −2.61999e12 | − | 8.06350e12i | −0.212441 | − | 0.653826i | ||||
\(153\) | 1.07849e13i | 0.840752i | ||||||||
\(154\) | 3.88188e13 | − | 1.49001e13i | 2.91016 | − | 1.11703i | ||||
\(155\) | 2.24459e12 | 0.161863 | ||||||||
\(156\) | −7.26732e12 | + | 2.36130e12i | −0.504228 | + | 0.163834i | ||||
\(157\) | −1.13141e13 | − | 8.22021e12i | −0.755482 | − | 0.548889i | 0.142040 | − | 0.989861i | \(-0.454634\pi\) |
−0.897521 | + | 0.440972i | \(0.854634\pi\) | |||||||
\(158\) | −2.07068e13 | + | 1.50444e13i | −1.33098 | + | 0.967010i | ||||
\(159\) | 4.68450e10 | − | 1.44174e11i | 0.00289921 | − | 0.00892286i | ||||
\(160\) | 1.25591e13 | + | 4.08069e12i | 0.748580 | + | 0.243228i | ||||
\(161\) | −2.60768e12 | − | 3.58916e12i | −0.149727 | − | 0.206081i | ||||
\(162\) | 6.94599e12 | − | 9.56033e12i | 0.384277 | − | 0.528911i | ||||
\(163\) | 7.90636e12 | + | 2.43333e13i | 0.421552 | + | 1.29740i | 0.906257 | + | 0.422726i | \(0.138927\pi\) |
−0.484706 | + | 0.874677i | \(0.661073\pi\) | |||||||
\(164\) | − | 7.13914e11i | − | 0.0366930i | ||||||
\(165\) | 7.09650e11 | + | 1.35468e13i | 0.0351674 | + | 0.671324i | ||||
\(166\) | −1.37080e13 | −0.655129 | ||||||||
\(167\) | 2.28305e13 | − | 7.41809e12i | 1.05249 | − | 0.341974i | 0.268844 | − | 0.963184i | \(-0.413358\pi\) |
0.783644 | + | 0.621210i | \(0.213358\pi\) | |||||||
\(168\) | 2.18040e13 | + | 1.58416e13i | 0.969797 | + | 0.704599i | ||||
\(169\) | −1.15710e13 | + | 8.40684e12i | −0.496651 | + | 0.360838i | ||||
\(170\) | −1.93588e13 | + | 5.95802e13i | −0.802018 | + | 2.46836i | ||||
\(171\) | 9.25702e12 | + | 3.00779e12i | 0.370249 | + | 0.120301i | ||||
\(172\) | −5.13886e13 | − | 7.07303e13i | −1.98470 | − | 2.73171i | ||||
\(173\) | 1.17680e13 | − | 1.61973e13i | 0.438962 | − | 0.604179i | −0.531019 | − | 0.847360i | \(-0.678191\pi\) |
0.969981 | + | 0.243180i | \(0.0781907\pi\) | |||||||
\(174\) | −5.73963e12 | − | 1.76648e13i | −0.206818 | − | 0.636521i | ||||
\(175\) | − | 5.63701e13i | − | 1.96255i | ||||||
\(176\) | 9.23555e12 | + | 1.14055e13i | 0.310732 | + | 0.383740i | ||||
\(177\) | 4.34552e12 | 0.141319 | ||||||||
\(178\) | −3.60314e13 | + | 1.17073e13i | −1.13282 | + | 0.368076i | ||||
\(179\) | −2.07194e13 | − | 1.50535e13i | −0.629881 | − | 0.457635i | 0.226478 | − | 0.974016i | \(-0.427279\pi\) |
−0.856359 | + | 0.516381i | \(0.827279\pi\) | |||||||
\(180\) | 5.60698e13 | − | 4.07371e13i | 1.64852 | − | 1.19772i | ||||
\(181\) | −1.69303e13 | + | 5.21062e13i | −0.481497 | + | 1.48190i | 0.355494 | + | 0.934679i | \(0.384313\pi\) |
−0.836991 | + | 0.547217i | \(0.815687\pi\) | |||||||
\(182\) | −6.69498e13 | − | 2.17533e13i | −1.84213 | − | 0.598545i | ||||
\(183\) | 7.77491e12 | + | 1.07012e13i | 0.207009 | + | 0.284923i | ||||
\(184\) | 4.31382e12 | − | 5.93747e12i | 0.111162 | − | 0.153001i | ||||
\(185\) | 2.57363e12 | + | 7.92082e12i | 0.0641971 | + | 0.197578i | ||||
\(186\) | − | 3.67795e12i | − | 0.0888235i | ||||||
\(187\) | 3.58049e13 | − | 2.89929e13i | 0.837322 | − | 0.678019i | ||||
\(188\) | 3.41335e13 | 0.773097 | ||||||||
\(189\) | −6.71352e13 | + | 2.18136e13i | −1.47292 | + | 0.478581i | ||||
\(190\) | 4.57405e13 | + | 3.32325e13i | 0.972254 | + | 0.706384i | ||||
\(191\) | 2.18594e13 | − | 1.58818e13i | 0.450234 | − | 0.327114i | −0.339454 | − | 0.940623i | \(-0.610242\pi\) |
0.789688 | + | 0.613508i | \(0.210242\pi\) | |||||||
\(192\) | 1.02691e13 | − | 3.16050e13i | 0.204986 | − | 0.630883i | ||||
\(193\) | −6.00557e11 | − | 1.95133e11i | −0.0116201 | − | 0.00377560i | 0.303201 | − | 0.952927i | \(-0.401945\pi\) |
−0.314821 | + | 0.949151i | \(0.601945\pi\) | |||||||
\(194\) | −1.43061e13 | − | 1.96907e13i | −0.268356 | − | 0.369361i | ||||
\(195\) | 1.34992e13 | − | 1.85800e13i | 0.245527 | − | 0.337939i | ||||
\(196\) | 7.79832e13 | + | 2.40007e14i | 1.37551 | + | 4.23339i | ||||
\(197\) | 4.26153e13i | 0.729068i | 0.931190 | + | 0.364534i | \(0.118772\pi\) | ||||
−0.931190 | + | 0.364534i | \(0.881228\pi\) | |||||||
\(198\) | −7.88581e13 | + | 4.13100e12i | −1.30875 | + | 0.0685589i | ||||
\(199\) | −6.29059e13 | −1.01291 | −0.506457 | − | 0.862265i | \(-0.669045\pi\) | ||||
−0.506457 | + | 0.862265i | \(0.669045\pi\) | |||||||
\(200\) | 8.86876e13 | − | 2.88163e13i | 1.38574 | − | 0.450255i | ||||
\(201\) | 4.61551e13 | + | 3.35337e13i | 0.699912 | + | 0.508516i | ||||
\(202\) | 5.23982e13 | − | 3.80695e13i | 0.771273 | − | 0.560362i | ||||
\(203\) | 3.41291e13 | − | 1.05039e14i | 0.487696 | − | 1.50097i | ||||
\(204\) | 6.30140e13 | + | 2.04745e13i | 0.874291 | + | 0.284075i | ||||
\(205\) | 1.26120e12 | + | 1.73590e12i | 0.0169927 | + | 0.0233884i | ||||
\(206\) | −5.33636e13 | + | 7.34488e13i | −0.698300 | + | 0.961128i | ||||
\(207\) | 2.60359e12 | + | 8.01303e12i | 0.0330941 | + | 0.101853i | ||||
\(208\) | − | 2.48462e13i | − | 0.306817i | ||||||
\(209\) | −1.48999e13 | − | 3.88182e13i | −0.178775 | − | 0.465755i | ||||
\(210\) | −1.79724e14 | −2.09551 | ||||||||
\(211\) | −4.21413e13 | + | 1.36925e13i | −0.477544 | + | 0.155163i | −0.537891 | − | 0.843014i | \(-0.680779\pi\) |
0.0603479 | + | 0.998177i | \(0.480779\pi\) | |||||||
\(212\) | 2.67666e12 | + | 1.94471e12i | 0.0294835 | + | 0.0214210i | ||||
\(213\) | 1.50229e13 | − | 1.09148e13i | 0.160870 | − | 0.116879i | ||||
\(214\) | 9.08931e12 | − | 2.79740e13i | 0.0946342 | − | 0.291254i | ||||
\(215\) | 2.49904e14 | + | 8.11989e13i | 2.53013 | + | 0.822090i | ||||
\(216\) | −6.86390e13 | − | 9.44735e13i | −0.675847 | − | 0.930224i | ||||
\(217\) | 1.28548e13 | − | 1.76931e13i | 0.123114 | − | 0.169452i | ||||
\(218\) | −6.82557e13 | − | 2.10069e14i | −0.635916 | − | 1.95715i | ||||
\(219\) | 5.52248e13i | 0.500575i | ||||||||
\(220\) | −2.85975e14 | − | 7.66336e13i | −2.52227 | − | 0.675901i | ||||
\(221\) | −7.79989e13 | −0.669476 | ||||||||
\(222\) | 1.29789e13 | − | 4.21711e12i | 0.108423 | − | 0.0352288i | ||||
\(223\) | 2.63671e13 | + | 1.91568e13i | 0.214404 | + | 0.155774i | 0.689804 | − | 0.723996i | \(-0.257697\pi\) |
−0.475400 | + | 0.879770i | \(0.657697\pi\) | |||||||
\(224\) | 1.04093e14 | − | 7.56277e13i | 0.824008 | − | 0.598677i | ||||
\(225\) | −3.30816e13 | + | 1.01815e14i | −0.254971 | + | 0.784720i | ||||
\(226\) | −2.61928e14 | − | 8.51055e13i | −1.96576 | − | 0.638715i | ||||
\(227\) | −8.36068e13 | − | 1.15075e14i | −0.611063 | − | 0.841057i | 0.385601 | − | 0.922666i | \(-0.373994\pi\) |
−0.996664 | + | 0.0816090i | \(0.973994\pi\) | |||||||
\(228\) | 3.51478e13 | − | 4.83768e13i | 0.250201 | − | 0.344372i | ||||
\(229\) | 3.27365e13 | + | 1.00753e14i | 0.226997 | + | 0.698625i | 0.998083 | + | 0.0618934i | \(0.0197139\pi\) |
−0.771086 | + | 0.636731i | \(0.780286\pi\) | |||||||
\(230\) | 4.89406e13i | 0.330600i | ||||||||
\(231\) | 1.10848e14 | + | 7.19889e13i | 0.729550 | + | 0.473798i | ||||
\(232\) | 1.82705e14 | 1.17172 | ||||||||
\(233\) | 9.28375e13 | − | 3.01647e13i | 0.580214 | − | 0.188523i | −0.00418255 | − | 0.999991i | \(-0.501331\pi\) |
0.584396 | + | 0.811468i | \(0.301331\pi\) | |||||||
\(234\) | 1.08157e14 | + | 7.85809e13i | 0.658811 | + | 0.478654i | ||||
\(235\) | −8.29963e13 | + | 6.03003e13i | −0.492778 | + | 0.358024i | ||||
\(236\) | −2.93075e13 | + | 9.01993e13i | −0.169632 | + | 0.522073i | ||||
\(237\) | −7.73778e13 | − | 2.51416e13i | −0.436643 | − | 0.141874i | ||||
\(238\) | 3.58777e14 | + | 4.93814e14i | 1.97407 | + | 2.71708i | ||||
\(239\) | 1.79238e14 | − | 2.46700e14i | 0.961707 | − | 1.32368i | 0.0155802 | − | 0.999879i | \(-0.495040\pi\) |
0.946127 | − | 0.323797i | \(-0.104960\pi\) | |||||||
\(240\) | −1.96022e13 | − | 6.03293e13i | −0.102574 | − | 0.315690i | ||||
\(241\) | 1.90416e14i | 0.971854i | 0.873999 | + | 0.485927i | \(0.161518\pi\) | ||||
−0.873999 | + | 0.485927i | \(0.838482\pi\) | |||||||
\(242\) | 2.25707e14 | + | 2.50696e14i | 1.12371 | + | 1.24812i | ||||
\(243\) | 2.09360e14 | 1.01685 | ||||||||
\(244\) | −2.74561e14 | + | 8.92102e13i | −1.30107 | + | 0.422742i | ||||
\(245\) | −6.13615e14 | − | 4.45817e14i | −2.83726 | − | 2.06139i | ||||
\(246\) | 2.84441e12 | − | 2.06659e12i | 0.0128346 | − | 0.00932488i | ||||
\(247\) | −2.17530e13 | + | 6.69488e13i | −0.0957938 | + | 0.294823i | ||||
\(248\) | 3.44081e13 | + | 1.11799e13i | 0.147894 | + | 0.0480537i | ||||
\(249\) | −2.56123e13 | − | 3.52524e13i | −0.107462 | − | 0.147908i | ||||
\(250\) | −1.98284e13 | + | 2.72914e13i | −0.0812170 | + | 0.111786i | ||||
\(251\) | −3.52455e13 | − | 1.08474e14i | −0.140949 | − | 0.433795i | 0.855519 | − | 0.517771i | \(-0.173238\pi\) |
−0.996468 | + | 0.0839759i | \(0.973238\pi\) | |||||||
\(252\) | − | 6.75277e14i | − | 2.63681i | ||||||
\(253\) | 1.96033e13 | − | 3.01850e13i | 0.0747492 | − | 0.115098i | ||||
\(254\) | 2.56210e14 | 0.954099 | ||||||||
\(255\) | −1.89390e14 | + | 6.15365e13i | −0.688836 | + | 0.223816i | ||||
\(256\) | 3.76899e14 | + | 2.73833e14i | 1.33901 | + | 0.972850i | ||||
\(257\) | −3.13685e14 | + | 2.27905e14i | −1.08867 | + | 0.790962i | −0.979173 | − | 0.203025i | \(-0.934923\pi\) |
−0.109493 | + | 0.993988i | \(0.534923\pi\) | |||||||
\(258\) | 1.33051e14 | − | 4.09490e14i | 0.451129 | − | 1.38843i | ||||
\(259\) | 7.71757e13 | + | 2.50759e13i | 0.255671 | + | 0.0830726i | ||||
\(260\) | 2.94620e14 | + | 4.05509e14i | 0.953722 | + | 1.31269i | ||||
\(261\) | −1.23287e14 | + | 1.69690e14i | −0.390008 | + | 0.536800i | ||||
\(262\) | −2.08113e14 | − | 6.40506e14i | −0.643416 | − | 1.98023i | ||||
\(263\) | − | 2.37703e13i | − | 0.0718290i | −0.999355 | − | 0.0359145i | \(-0.988566\pi\) | ||
0.999355 | − | 0.0359145i | \(-0.0114344\pi\) | |||||||
\(264\) | −5.65956e13 | + | 2.11198e14i | −0.167170 | + | 0.623831i | ||||
\(265\) | −9.94388e12 | −0.0287131 | ||||||||
\(266\) | 5.23915e14 | − | 1.70230e14i | 1.47901 | − | 0.480559i | ||||
\(267\) | −9.74290e13 | − | 7.07863e13i | −0.268918 | − | 0.195381i | ||||
\(268\) | −1.00734e15 | + | 7.31874e14i | −2.71873 | + | 1.97528i | ||||
\(269\) | −1.35259e14 | + | 4.16283e14i | −0.356986 | + | 1.09869i | 0.597863 | + | 0.801599i | \(0.296017\pi\) |
−0.954849 | + | 0.297092i | \(0.903983\pi\) | |||||||
\(270\) | 7.40602e14 | + | 2.40636e14i | 1.91162 | + | 0.621124i | ||||
\(271\) | −1.24463e14 | − | 1.71309e14i | −0.314214 | − | 0.432479i | 0.622475 | − | 0.782639i | \(-0.286127\pi\) |
−0.936690 | + | 0.350160i | \(0.886127\pi\) | |||||||
\(272\) | −1.26631e14 | + | 1.74293e14i | −0.312700 | + | 0.430394i | ||||
\(273\) | −6.91482e13 | − | 2.12816e14i | −0.167034 | − | 0.514078i | ||||
\(274\) | 4.08603e14i | 0.965603i | ||||||||
\(275\) | 4.26948e14 | − | 1.63879e14i | 0.987139 | − | 0.378902i | ||||
\(276\) | 5.17613e13 | 0.117098 | ||||||||
\(277\) | 7.51972e13 | − | 2.44330e13i | 0.166465 | − | 0.0540878i | −0.224599 | − | 0.974451i | \(-0.572107\pi\) |
0.391064 | + | 0.920364i | \(0.372107\pi\) | |||||||
\(278\) | −8.37429e14 | − | 6.08428e14i | −1.81417 | − | 1.31807i | ||||
\(279\) | −3.36016e13 | + | 2.44130e13i | −0.0712417 | + | 0.0517601i | ||||
\(280\) | 5.46307e14 | − | 1.68136e15i | 1.13367 | − | 3.48909i | ||||
\(281\) | −3.99999e14 | − | 1.29968e14i | −0.812495 | − | 0.263996i | −0.126841 | − | 0.991923i | \(-0.540484\pi\) |
−0.685654 | + | 0.727927i | \(0.740484\pi\) | |||||||
\(282\) | 9.88073e13 | + | 1.35997e14i | 0.196469 | + | 0.270417i | ||||
\(283\) | 8.98193e13 | − | 1.23626e14i | 0.174844 | − | 0.240652i | −0.712597 | − | 0.701574i | \(-0.752481\pi\) |
0.887441 | + | 0.460922i | \(0.152481\pi\) | |||||||
\(284\) | 1.25237e14 | + | 3.85440e14i | 0.238684 | + | 0.734594i | ||||
\(285\) | 1.79721e14i | 0.335374i | ||||||||
\(286\) | −2.98763e13 | − | 5.70320e14i | −0.0545922 | − | 1.04213i | ||||
\(287\) | 2.09063e13 | 0.0374098 | ||||||||
\(288\) | −2.32393e14 | + | 7.55091e13i | −0.407257 | + | 0.132326i | ||||
\(289\) | 7.58021e13 | + | 5.50734e13i | 0.130105 | + | 0.0945268i | ||||
\(290\) | −9.85677e14 | + | 7.16137e14i | −1.65709 | + | 1.20395i | ||||
\(291\) | 2.39079e13 | − | 7.35809e13i | 0.0393716 | − | 0.121173i | ||||
\(292\) | −1.14629e15 | − | 3.72453e14i | −1.84926 | − | 0.600862i | ||||
\(293\) | 7.34528e14 | + | 1.01099e15i | 1.16092 | + | 1.59787i | 0.707781 | + | 0.706432i | \(0.249696\pi\) |
0.453140 | + | 0.891439i | \(0.350304\pi\) | |||||||
\(294\) | −7.30510e14 | + | 1.00546e15i | −1.13121 | + | 1.55697i | ||||
\(295\) | −8.80844e13 | − | 2.71096e14i | −0.133649 | − | 0.411330i | ||||
\(296\) | 1.34240e14i | 0.199587i | ||||||||
\(297\) | −3.60391e14 | − | 4.45067e14i | −0.525092 | − | 0.648465i | ||||
\(298\) | 2.20725e15 | 3.15177 | ||||||||
\(299\) | −5.79521e13 | + | 1.88298e13i | −0.0811040 | + | 0.0263523i | ||||
\(300\) | 5.32079e14 | + | 3.86578e14i | 0.729875 | + | 0.530285i | ||||
\(301\) | 2.07127e15 | − | 1.50486e15i | 2.78507 | − | 2.02347i | ||||
\(302\) | 1.04754e14 | − | 3.22399e14i | 0.138079 | − | 0.424964i | ||||
\(303\) | 1.95803e14 | + | 6.36204e13i | 0.253026 | + | 0.0822130i | ||||
\(304\) | 1.14285e14 | + | 1.57300e14i | 0.144793 | + | 0.199291i | ||||
\(305\) | 5.10001e14 | − | 7.01956e14i | 0.633537 | − | 0.871988i | ||||
\(306\) | −3.58215e14 | − | 1.10247e15i | −0.436330 | − | 1.34288i | ||||
\(307\) | 1.39643e15i | 1.66798i | 0.551783 | + | 0.833988i | \(0.313948\pi\) | ||||
−0.551783 | + | 0.833988i | \(0.686052\pi\) | |||||||
\(308\) | −2.24186e15 | + | 1.81534e15i | −2.62605 | + | 2.12644i | ||||
\(309\) | −2.88591e14 | −0.331536 | ||||||||
\(310\) | −2.29450e14 | + | 7.45527e13i | −0.258534 | + | 0.0840027i | ||||
\(311\) | −7.78957e14 | − | 5.65945e14i | −0.860897 | − | 0.625478i | 0.0672319 | − | 0.997737i | \(-0.478583\pi\) |
−0.928129 | + | 0.372259i | \(0.878583\pi\) | |||||||
\(312\) | 2.99477e14 | − | 2.17583e14i | 0.324666 | − | 0.235883i | ||||
\(313\) | −4.71514e14 | + | 1.45117e15i | −0.501451 | + | 1.54331i | 0.305204 | + | 0.952287i | \(0.401275\pi\) |
−0.806656 | + | 0.591022i | \(0.798725\pi\) | |||||||
\(314\) | 1.42960e15 | + | 4.64506e14i | 1.49155 | + | 0.484633i | ||||
\(315\) | 1.19294e15 | + | 1.64195e15i | 1.22112 | + | 1.68072i | ||||
\(316\) | 1.04372e15 | − | 1.43656e15i | 1.04824 | − | 1.44278i | ||||
\(317\) | 2.74578e14 | + | 8.45064e14i | 0.270589 | + | 0.832787i | 0.990353 | + | 0.138568i | \(0.0442500\pi\) |
−0.719764 | + | 0.694219i | \(0.755750\pi\) | |||||||
\(318\) | 1.62939e13i | 0.0157566i | ||||||||
\(319\) | 8.94784e14 | − | 4.68734e13i | 0.849130 | − | 0.0444818i | ||||
\(320\) | −2.17984e15 | −2.03014 | ||||||||
\(321\) | 8.89222e13 | − | 2.88926e13i | 0.0812793 | − | 0.0264092i | ||||
\(322\) | 3.85778e14 | + | 2.80284e14i | 0.346101 | + | 0.251457i | ||||
\(323\) | 4.93807e14 | − | 3.58772e14i | 0.434853 | − | 0.315939i | ||||
\(324\) | −2.53343e14 | + | 7.79709e14i | −0.218997 | + | 0.674004i | ||||
\(325\) | −7.36346e14 | − | 2.39253e14i | −0.624859 | − | 0.203029i | ||||
\(326\) | −1.61643e15 | − | 2.22483e15i | −1.34664 | − | 1.85349i | ||||
\(327\) | 4.12696e14 | − | 5.68028e14i | 0.337555 | − | 0.464604i | ||||
\(328\) | 1.06873e13 | + | 3.28920e13i | 0.00858269 | + | 0.0264148i | ||||
\(329\) | 9.99566e14i | 0.788199i | ||||||||
\(330\) | −5.22492e14 | − | 1.36123e15i | −0.404572 | − | 1.05402i | ||||
\(331\) | −1.38523e15 | −1.05331 | −0.526653 | − | 0.850081i | \(-0.676553\pi\) | ||||
−0.526653 | + | 0.850081i | \(0.676553\pi\) | |||||||
\(332\) | 9.04466e14 | − | 2.93879e14i | 0.675404 | − | 0.219452i | ||||
\(333\) | −1.24677e14 | − | 9.05832e13i | −0.0914369 | − | 0.0664328i | ||||
\(334\) | −2.08743e15 | + | 1.51661e15i | −1.50360 | + | 1.09243i | ||||
\(335\) | 1.15643e15 | − | 3.55913e15i | 0.818184 | − | 2.51811i | ||||
\(336\) | −5.87812e14 | − | 1.90992e14i | −0.408510 | − | 0.132733i | ||||
\(337\) | −9.40557e14 | − | 1.29457e15i | −0.642105 | − | 0.883781i | 0.356621 | − | 0.934249i | \(-0.383929\pi\) |
−0.998726 | + | 0.0504678i | \(0.983929\pi\) | |||||||
\(338\) | 9.03603e14 | − | 1.24370e15i | 0.606007 | − | 0.834097i | ||||
\(339\) | −2.70528e14 | − | 8.32601e14i | −0.178244 | − | 0.548578i | ||||
\(340\) | − | 4.34617e15i | − | 2.81341i | ||||||
\(341\) | 1.71379e14 | + | 4.59251e13i | 0.109001 | + | 0.0292095i | ||||
\(342\) | −1.04619e15 | −0.653812 | ||||||||
\(343\) | −4.15384e15 | + | 1.34966e15i | −2.55085 | + | 0.828821i | ||||
\(344\) | 3.42644e15 | + | 2.48946e15i | 2.06773 | + | 1.50229i | ||||
\(345\) | −1.25859e14 | + | 9.14416e13i | −0.0746394 | + | 0.0542287i | ||||
\(346\) | −6.64985e14 | + | 2.04661e15i | −0.387575 | + | 1.19283i | ||||
\(347\) | 2.54553e15 | + | 8.27092e14i | 1.45815 | + | 0.473780i | 0.927503 | − | 0.373816i | \(-0.121951\pi\) |
0.530642 | + | 0.847596i | \(0.321951\pi\) | |||||||
\(348\) | 7.57410e14 | + | 1.04249e15i | 0.426438 | + | 0.586941i | ||||
\(349\) | 5.38227e14 | − | 7.40806e14i | 0.297861 | − | 0.409970i | −0.633687 | − | 0.773590i | \(-0.718459\pi\) |
0.931547 | + | 0.363620i | \(0.118459\pi\) | |||||||
\(350\) | 1.87230e15 | + | 5.76235e15i | 1.01851 | + | 3.13466i | ||||
\(351\) | 9.69553e14i | 0.518476i | ||||||||
\(352\) | 8.75422e14 | + | 5.68534e14i | 0.460216 | + | 0.298882i | ||||
\(353\) | −2.35674e15 | −1.21805 | −0.609023 | − | 0.793152i | \(-0.708438\pi\) | ||||
−0.609023 | + | 0.793152i | \(0.708438\pi\) | |||||||
\(354\) | −4.44214e14 | + | 1.44334e14i | −0.225721 | + | 0.0733413i | ||||
\(355\) | −9.85436e14 | − | 7.15961e14i | −0.492332 | − | 0.357700i | ||||
\(356\) | 2.12639e15 | − | 1.54492e15i | 1.04458 | − | 0.758935i | ||||
\(357\) | −5.99575e14 | + | 1.84530e15i | −0.289624 | + | 0.891370i | ||||
\(358\) | 2.61800e15 | + | 8.50640e14i | 1.24357 | + | 0.404062i | ||||
\(359\) | −1.15459e15 | − | 1.58916e15i | −0.539338 | − | 0.742335i | 0.449180 | − | 0.893441i | \(-0.351716\pi\) |
−0.988517 | + | 0.151107i | \(0.951716\pi\) | |||||||
\(360\) | −1.97346e15 | + | 2.71623e15i | −0.906595 | + | 1.24782i | ||||
\(361\) | 5.13724e14 | + | 1.58108e15i | 0.232106 | + | 0.714350i | ||||
\(362\) | − | 5.88881e15i | − | 2.61683i | ||||||
\(363\) | −2.22989e14 | + | 1.04885e15i | −0.0974638 | + | 0.458430i | ||||
\(364\) | 4.88375e15 | 2.09964 | ||||||||
\(365\) | 3.44521e15 | − | 1.11942e15i | 1.45700 | − | 0.473407i | ||||
\(366\) | −1.15021e15 | − | 8.35680e14i | −0.478512 | − | 0.347659i | ||||
\(367\) | −4.24145e14 | + | 3.08159e14i | −0.173587 | + | 0.126119i | −0.671186 | − | 0.741289i | \(-0.734215\pi\) |
0.497599 | + | 0.867407i | \(0.334215\pi\) | |||||||
\(368\) | −5.20091e13 | + | 1.60067e14i | −0.0209407 | + | 0.0644490i | ||||
\(369\) | −3.77605e13 | − | 1.22691e13i | −0.0149582 | − | 0.00486022i | ||||
\(370\) | −5.26171e14 | − | 7.24212e14i | −0.205077 | − | 0.282264i | ||||
\(371\) | −5.69489e13 | + | 7.83834e13i | −0.0218394 | + | 0.0300594i | ||||
\(372\) | 7.88495e13 | + | 2.42674e14i | 0.0297537 | + | 0.0915725i | ||||
\(373\) | − | 1.76039e15i | − | 0.653664i | −0.945082 | − | 0.326832i | \(-0.894019\pi\) | ||
0.945082 | − | 0.326832i | \(-0.105981\pi\) | |||||||
\(374\) | −2.69712e15 | + | 4.15300e15i | −0.985532 | + | 1.51751i | ||||
\(375\) | −1.07232e14 | −0.0385599 | ||||||||
\(376\) | −1.57263e15 | + | 5.10977e14i | −0.556543 | + | 0.180832i | ||||
\(377\) | −1.22724e15 | − | 8.91639e14i | −0.427445 | − | 0.310557i | ||||
\(378\) | 6.13828e15 | − | 4.45972e15i | 2.10424 | − | 1.52882i | ||||
\(379\) | −5.63690e14 | + | 1.73486e15i | −0.190198 | + | 0.585368i | −0.999999 | − | 0.00133589i | \(-0.999575\pi\) |
0.809801 | + | 0.586704i | \(0.199575\pi\) | |||||||
\(380\) | −3.73045e15 | − | 1.21210e15i | −1.23897 | − | 0.402564i | ||||
\(381\) | 4.78707e14 | + | 6.58884e14i | 0.156502 | + | 0.215407i | ||||
\(382\) | −1.70704e15 | + | 2.34954e15i | −0.549369 | + | 0.756141i | ||||
\(383\) | 7.22011e14 | + | 2.22212e15i | 0.228745 | + | 0.704004i | 0.997890 | + | 0.0649298i | \(0.0206823\pi\) |
−0.769145 | + | 0.639074i | \(0.779318\pi\) | |||||||
\(384\) | 2.74727e15i | 0.856869i | ||||||||
\(385\) | 2.24414e15 | − | 8.37448e15i | 0.689105 | − | 2.57154i | ||||
\(386\) | 6.78723e13 | 0.0205196 | ||||||||
\(387\) | −4.62423e15 | + | 1.50250e15i | −1.37649 | + | 0.447249i | ||||
\(388\) | 1.36607e15 | + | 9.92506e14i | 0.400389 | + | 0.290899i | ||||
\(389\) | −2.53150e15 | + | 1.83924e15i | −0.730602 | + | 0.530813i | −0.889754 | − | 0.456441i | \(-0.849124\pi\) |
0.159152 | + | 0.987254i | \(0.449124\pi\) | |||||||
\(390\) | −7.62807e14 | + | 2.34768e15i | −0.216784 | + | 0.667192i | ||||
\(391\) | 5.02495e14 | + | 1.63271e14i | 0.140628 | + | 0.0456928i | ||||
\(392\) | −7.18580e15 | − | 9.89041e15i | −1.98043 | − | 2.72582i | ||||
\(393\) | 1.25832e15 | − | 1.73193e15i | 0.341535 | − | 0.470083i | ||||
\(394\) | −1.41544e15 | − | 4.35629e15i | −0.378369 | − | 1.16450i | ||||
\(395\) | 5.33686e15i | 1.40509i | ||||||||
\(396\) | 5.11455e15 | − | 1.96316e15i | 1.32628 | − | 0.509078i | ||||
\(397\) | 4.69291e15 | 1.19867 | 0.599335 | − | 0.800499i | \(-0.295432\pi\) | ||||
0.599335 | + | 0.800499i | \(0.295432\pi\) | |||||||
\(398\) | 6.43046e15 | − | 2.08938e15i | 1.61787 | − | 0.525678i | ||||
\(399\) | 1.41666e15 | + | 1.02927e15i | 0.351099 | + | 0.255088i | ||||
\(400\) | −1.73008e15 | + | 1.25698e15i | −0.422384 | + | 0.306880i | ||||
\(401\) | −1.12068e15 | + | 3.44909e15i | −0.269535 | + | 0.829542i | 0.721079 | + | 0.692853i | \(0.243646\pi\) |
−0.990614 | + | 0.136690i | \(0.956354\pi\) | |||||||
\(402\) | −5.83194e15 | − | 1.89491e15i | −1.38184 | − | 0.448986i | ||||
\(403\) | −1.76560e14 | − | 2.43014e14i | −0.0412157 | − | 0.0567285i | ||||
\(404\) | −2.64112e15 | + | 3.63519e15i | −0.607435 | + | 0.836063i | ||||
\(405\) | −7.61427e14 | − | 2.34343e15i | −0.172543 | − | 0.531034i | ||||
\(406\) | 1.18710e16i | 2.65052i | ||||||||
\(407\) | 3.44396e13 | + | 6.57430e14i | 0.00757690 | + | 0.144638i | ||||
\(408\) | −3.20973e15 | −0.695838 | ||||||||
\(409\) | 4.23349e15 | − | 1.37554e15i | 0.904395 | − | 0.293856i | 0.180345 | − | 0.983603i | \(-0.442278\pi\) |
0.724050 | + | 0.689747i | \(0.242278\pi\) | |||||||
\(410\) | −1.86581e14 | − | 1.35559e14i | −0.0392794 | − | 0.0285382i | ||||
\(411\) | −1.05079e15 | + | 7.63442e14i | −0.218004 | + | 0.158389i | ||||
\(412\) | 1.94635e15 | − | 5.99024e15i | 0.397958 | − | 1.22479i | ||||
\(413\) | −2.64140e15 | − | 8.58241e14i | −0.532271 | − | 0.172945i | ||||
\(414\) | −5.32297e14 | − | 7.32644e14i | −0.105719 | − | 0.145509i | ||||
\(415\) | −1.68006e15 | + | 2.31240e15i | −0.328879 | + | 0.452663i | ||||
\(416\) | −5.46099e14 | − | 1.68072e15i | −0.105369 | − | 0.324292i | ||||
\(417\) | − | 3.29038e15i | − | 0.625791i | ||||||
\(418\) | 2.81245e15 | + | 3.47324e15i | 0.527262 | + | 0.651145i | ||||
\(419\) | −2.85199e15 | −0.527064 | −0.263532 | − | 0.964651i | \(-0.584887\pi\) | ||||
−0.263532 | + | 0.964651i | \(0.584887\pi\) | |||||||
\(420\) | 1.18583e16 | − | 3.85299e15i | 2.16036 | − | 0.701944i | ||||
\(421\) | 1.68739e15 | + | 1.22596e15i | 0.303055 | + | 0.220182i | 0.728911 | − | 0.684609i | \(-0.240027\pi\) |
−0.425856 | + | 0.904791i | \(0.640027\pi\) | |||||||
\(422\) | 3.85304e15 | − | 2.79940e15i | 0.682227 | − | 0.495667i | ||||
\(423\) | 5.86609e14 | − | 1.80540e15i | 0.102402 | − | 0.315160i | ||||
\(424\) | −1.52434e14 | − | 4.95287e13i | −0.0262353 | − | 0.00852435i | ||||
\(425\) | 3.94600e15 | + | 5.43121e15i | 0.669613 | + | 0.921643i | ||||
\(426\) | −1.17316e15 | + | 1.61472e15i | −0.196291 | + | 0.270172i | ||||
\(427\) | −2.61243e15 | − | 8.04024e15i | −0.431000 | − | 1.32648i | ||||
\(428\) | 2.04061e15i | 0.331968i | ||||||||
\(429\) | 1.41085e15 | − | 1.14243e15i | 0.226327 | − | 0.183267i | ||||
\(430\) | −2.82431e16 | −4.46788 | ||||||||
\(431\) | −5.34248e15 | + | 1.73588e15i | −0.833450 | + | 0.270804i | −0.694498 | − | 0.719495i | \(-0.744373\pi\) |
−0.138952 | + | 0.990299i | \(0.544373\pi\) | |||||||
\(432\) | 2.16652e15 | + | 1.57407e15i | 0.333319 | + | 0.242171i | ||||
\(433\) | 5.60853e15 | − | 4.07484e15i | 0.850985 | − | 0.618276i | −0.0744328 | − | 0.997226i | \(-0.523715\pi\) |
0.925417 | + | 0.378950i | \(0.123715\pi\) | |||||||
\(434\) | −7.26397e14 | + | 2.23562e15i | −0.108701 | + | 0.334549i | ||||
\(435\) | −3.68331e15 | − | 1.19678e15i | −0.543630 | − | 0.176636i | ||||
\(436\) | 9.00712e15 | + | 1.23972e16i | 1.31119 | + | 1.80470i | ||||
\(437\) | 2.80280e14 | − | 3.85773e14i | 0.0402443 | − | 0.0553915i | ||||
\(438\) | −1.83426e15 | − | 5.64527e15i | −0.259786 | − | 0.799540i | ||||
\(439\) | − | 2.84904e15i | − | 0.398026i | −0.979997 | − | 0.199013i | \(-0.936226\pi\) | ||
0.979997 | − | 0.199013i | \(-0.0637736\pi\) | |||||||
\(440\) | 1.43229e16 | − | 7.50306e14i | 1.97385 | − | 0.103400i | ||||
\(441\) | 1.40347e16 | 1.90797 | ||||||||
\(442\) | 7.97332e15 | − | 2.59069e15i | 1.06932 | − | 0.347442i | ||||
\(443\) | −4.44518e15 | − | 3.22961e15i | −0.588122 | − | 0.427296i | 0.253521 | − | 0.967330i | \(-0.418411\pi\) |
−0.841643 | + | 0.540034i | \(0.818411\pi\) | |||||||
\(444\) | −7.65952e14 | + | 5.56496e14i | −0.0999778 | + | 0.0726381i | ||||
\(445\) | −2.44111e15 | + | 7.51298e15i | −0.314361 | + | 0.967502i | ||||
\(446\) | −3.33162e15 | − | 1.08251e15i | −0.423298 | − | 0.137538i | ||||
\(447\) | 4.12407e15 | + | 5.67630e15i | 0.516989 | + | 0.711574i | ||||
\(448\) | −1.24840e16 | + | 1.71828e16i | −1.54414 | + | 2.12532i | ||||
\(449\) | 2.89333e15 | + | 8.90474e15i | 0.353118 | + | 1.08678i | 0.957093 | + | 0.289781i | \(0.0935825\pi\) |
−0.603975 | + | 0.797003i | \(0.706418\pi\) | |||||||
\(450\) | − | 1.15066e16i | − | 1.38571i | ||||||
\(451\) | 6.07786e13 | + | 1.58344e14i | 0.00722256 | + | 0.0188167i | ||||
\(452\) | 1.91067e16 | 2.24055 | ||||||||
\(453\) | 1.02482e15 | − | 3.32986e14i | 0.118593 | − | 0.0385333i | ||||
\(454\) | 1.23687e16 | + | 8.98640e15i | 1.41250 | + | 1.02624i | ||||
\(455\) | −1.18749e16 | + | 8.62765e15i | −1.33833 | + | 0.972353i | ||||
\(456\) | −8.95158e14 | + | 2.75501e15i | −0.0995659 | + | 0.306432i | ||||
\(457\) | −1.04136e16 | − | 3.38357e15i | −1.14315 | − | 0.371431i | −0.324589 | − | 0.945855i | \(-0.605226\pi\) |
−0.818557 | + | 0.574425i | \(0.805226\pi\) | |||||||
\(458\) | −6.69289e15 | − | 9.21197e15i | −0.725138 | − | 0.998067i | ||||
\(459\) | 4.94143e15 | − | 6.80130e15i | 0.528417 | − | 0.727304i | ||||
\(460\) | −1.04921e15 | − | 3.22914e15i | −0.110743 | − | 0.340832i | ||||
\(461\) | 4.15162e15i | 0.432526i | 0.976335 | + | 0.216263i | \(0.0693869\pi\) | ||||
−0.976335 | + | 0.216263i | \(0.930613\pi\) | |||||||
\(462\) | −1.37223e16 | − | 3.67721e15i | −1.41116 | − | 0.378153i | ||||
\(463\) | 4.37955e15 | 0.444574 | 0.222287 | − | 0.974981i | \(-0.428648\pi\) | ||||
0.222287 | + | 0.974981i | \(0.428648\pi\) | |||||||
\(464\) | −3.98484e15 | + | 1.29475e15i | −0.399303 | + | 0.129741i | ||||
\(465\) | −6.20432e14 | − | 4.50770e14i | −0.0613728 | − | 0.0445900i | ||||
\(466\) | −8.48828e15 | + | 6.16709e15i | −0.828903 | + | 0.602234i | ||||
\(467\) | 5.19900e15 | − | 1.60009e16i | 0.501209 | − | 1.54256i | −0.305843 | − | 0.952082i | \(-0.598938\pi\) |
0.807052 | − | 0.590480i | \(-0.201062\pi\) | |||||||
\(468\) | −8.82095e15 | − | 2.86610e15i | −0.839537 | − | 0.272782i | ||||
\(469\) | −2.14322e16 | − | 2.94989e16i | −2.01386 | − | 2.77184i | ||||
\(470\) | 6.48133e15 | − | 8.92079e15i | 0.601280 | − | 0.827592i | ||||
\(471\) | 1.47654e15 | + | 4.54433e15i | 0.135245 | + | 0.416241i | ||||
\(472\) | − | 4.59447e15i | − | 0.415511i | ||||||
\(473\) | 1.74194e16 | + | 1.13129e16i | 1.55549 | + | 1.01020i | ||||
\(474\) | 8.74490e15 | 0.771054 | ||||||||
\(475\) | 5.76226e15 | − | 1.87227e15i | 0.501685 | − | 0.163007i | ||||
\(476\) | −3.42590e16 | − | 2.48906e16i | −2.94532 | − | 2.13990i | ||||
\(477\) | 1.48860e14 | − | 1.08153e14i | 0.0126377 | − | 0.00918184i | ||||
\(478\) | −1.01283e16 | + | 3.11718e16i | −0.849124 | + | 2.61333i | ||||
\(479\) | 1.07469e16 | + | 3.49186e15i | 0.889750 | + | 0.289097i | 0.718000 | − | 0.696043i | \(-0.245058\pi\) |
0.171750 | + | 0.985141i | \(0.445058\pi\) | |||||||
\(480\) | −2.65198e15 | − | 3.65014e15i | −0.216832 | − | 0.298443i | ||||
\(481\) | 6.55119e14 | − | 9.01694e14i | 0.0528993 | − | 0.0728096i | ||||
\(482\) | −6.32456e15 | − | 1.94650e16i | −0.504368 | − | 1.55229i | ||||
\(483\) | 1.51578e15i | 0.119386i | ||||||||
\(484\) | −2.02669e16 | − | 1.17023e16i | −1.57658 | − | 0.910331i | ||||
\(485\) | −5.07498e15 | −0.389927 | ||||||||
\(486\) | −2.14015e16 | + | 6.95378e15i | −1.62415 | + | 0.527720i | ||||
\(487\) | 9.81236e15 | + | 7.12910e15i | 0.735529 | + | 0.534393i | 0.891308 | − | 0.453399i | \(-0.149789\pi\) |
−0.155779 | + | 0.987792i | \(0.549789\pi\) | |||||||
\(488\) | 1.13143e16 | − | 8.22033e15i | 0.837740 | − | 0.608654i | ||||
\(489\) | 2.70132e15 | − | 8.31382e15i | 0.197571 | − | 0.608061i | ||||
\(490\) | 7.75335e16 | + | 2.51921e16i | 5.60161 | + | 1.82007i | ||||
\(491\) | 1.22086e16 | + | 1.68037e16i | 0.871320 | + | 1.19927i | 0.978750 | + | 0.205056i | \(0.0657376\pi\) |
−0.107431 | + | 0.994213i | \(0.534262\pi\) | |||||||
\(492\) | −1.43372e14 | + | 1.97335e14i | −0.0101082 | + | 0.0139128i | ||||
\(493\) | 4.06458e15 | + | 1.25095e16i | 0.283096 | + | 0.871280i | ||||
\(494\) | − | 7.56626e15i | − | 0.520619i | ||||||
\(495\) | −8.96800e15 | + | 1.38088e16i | −0.609628 | + | 0.938698i | ||||
\(496\) | −8.29675e14 | −0.0557209 | ||||||||
\(497\) | −1.12872e16 | + | 3.66744e15i | −0.748944 | + | 0.243347i | ||||
\(498\) | 3.78907e15 | + | 2.75292e15i | 0.248403 | + | 0.180475i | ||||
\(499\) | −8.37139e15 | + | 6.08217e15i | −0.542244 | + | 0.393963i | −0.824918 | − | 0.565253i | \(-0.808779\pi\) |
0.282674 | + | 0.959216i | \(0.408779\pi\) | |||||||
\(500\) | 7.23205e14 | − | 2.22580e15i | 0.0462851 | − | 0.142451i | ||||
\(501\) | −7.80038e15 | − | 2.53450e15i | −0.493276 | − | 0.160275i | ||||
\(502\) | 7.20583e15 | + | 9.91798e15i | 0.450258 | + | 0.619727i | ||||
\(503\) | −5.00222e15 | + | 6.88496e15i | −0.308855 | + | 0.425102i | −0.935024 | − | 0.354585i | \(-0.884622\pi\) |
0.626169 | + | 0.779688i | \(0.284622\pi\) | |||||||
\(504\) | 1.01089e16 | + | 3.11119e16i | 0.616764 | + | 1.89820i | ||||
\(505\) | − | 1.35048e16i | − | 0.814218i | ||||||
\(506\) | −1.00134e15 | + | 3.73673e15i | −0.0596596 | + | 0.222633i | ||||
\(507\) | 4.88668e15 | 0.287718 | ||||||||
\(508\) | −1.69049e16 | + | 5.49274e15i | −0.983627 | + | 0.319600i | ||||
\(509\) | 1.09826e16 | + | 7.97929e15i | 0.631534 | + | 0.458836i | 0.856931 | − | 0.515431i | \(-0.172368\pi\) |
−0.225397 | + | 0.974267i | \(0.572368\pi\) | |||||||
\(510\) | 1.73162e16 | − | 1.25810e16i | 0.984083 | − | 0.714978i | ||||
\(511\) | 1.09069e16 | − | 3.35680e16i | 0.612600 | − | 1.88539i | ||||
\(512\) | −1.62998e16 | − | 5.29612e15i | −0.904820 | − | 0.293994i | ||||
\(513\) | −4.45966e15 | − | 6.13819e15i | −0.244679 | − | 0.336772i | ||||
\(514\) | 2.44962e16 | − | 3.37162e16i | 1.32837 | − | 1.82835i | ||||
\(515\) | 5.84978e15 | + | 1.80038e16i | 0.313543 | + | 0.964985i | ||||
\(516\) | 2.98709e16i | 1.58252i | ||||||||
\(517\) | −7.57072e15 | + | 2.90593e15i | −0.396455 | + | 0.152175i | ||||
\(518\) | −8.72205e15 | −0.451482 | ||||||||
\(519\) | −6.50566e15 | + | 2.11382e15i | −0.332879 | + | 0.108159i | ||||
\(520\) | −1.96444e16 | − | 1.42725e16i | −0.993617 | − | 0.721905i | ||||
\(521\) | 1.89764e16 | − | 1.37872e16i | 0.948829 | − | 0.689365i | −0.00170024 | − | 0.999999i | \(-0.500541\pi\) |
0.950530 | + | 0.310634i | \(0.100541\pi\) | |||||||
\(522\) | 6.96667e15 | − | 2.14412e16i | 0.344352 | − | 1.05980i | ||||
\(523\) | −2.44893e16 | − | 7.95706e15i | −1.19665 | − | 0.388815i | −0.358121 | − | 0.933675i | \(-0.616583\pi\) |
−0.838527 | + | 0.544861i | \(0.816583\pi\) | |||||||
\(524\) | 2.74629e16 | + | 3.77994e16i | 1.32666 | + | 1.82599i | ||||
\(525\) | −1.13205e16 | + | 1.55814e16i | −0.540644 | + | 0.744132i | ||||
\(526\) | 7.89516e14 | + | 2.42988e15i | 0.0372775 | + | 0.114728i | ||||
\(527\) | 2.60458e15i | 0.121583i | ||||||||
\(528\) | −2.62311e14 | − | 5.00735e15i | −0.0121063 | − | 0.231102i | ||||
\(529\) | −2.15019e16 | −0.981165 | ||||||||
\(530\) | 1.01650e15 | − | 3.30280e14i | 0.0458618 | − | 0.0149014i | ||||
\(531\) | 4.26717e15 | + | 3.10028e15i | 0.190359 | + | 0.138304i | ||||
\(532\) | −3.09188e16 | + | 2.24638e16i | −1.36381 | + | 0.990863i | ||||
\(533\) | 8.87332e13 | − | 2.73093e14i | 0.00387011 | − | 0.0119110i | ||||
\(534\) | 1.23107e16 | + | 3.99998e15i | 0.530926 | + | 0.172508i | ||||
\(535\) | −3.60494e15 | − | 4.96177e15i | −0.153736 | − | 0.211599i | ||||
\(536\) | 3.54548e16 | − | 4.87993e16i | 1.49515 | − | 2.05790i | ||||
\(537\) | 2.70397e15 | + | 8.32195e15i | 0.112760 | + | 0.347040i | ||||
\(538\) | − | 4.70465e16i | − | 1.94014i | ||||||
\(539\) | −3.77293e16 | − | 4.65940e16i | −1.53867 | − | 1.90019i | ||||
\(540\) | −5.40243e16 | −2.17885 | ||||||||
\(541\) | 2.95935e14 | − | 9.61552e13i | 0.0118036 | − | 0.00383521i | −0.303109 | − | 0.952956i | \(-0.598025\pi\) |
0.314913 | + | 0.949121i | \(0.398025\pi\) | |||||||
\(542\) | 1.84130e16 | + | 1.33779e16i | 0.726323 | + | 0.527704i | ||||
\(543\) | 1.51440e16 | − | 1.10028e16i | 0.590801 | − | 0.429242i | ||||
\(544\) | −4.73516e15 | + | 1.45733e16i | −0.182701 | + | 0.562296i | ||||
\(545\) | −4.38019e16 | − | 1.42321e16i | −1.67153 | − | 0.543113i | ||||
\(546\) | 1.41371e16 | + | 1.94581e16i | 0.533588 | + | 0.734420i | ||||
\(547\) | 1.43870e16 | − | 1.98020e16i | 0.537088 | − | 0.739238i | −0.451102 | − | 0.892472i | \(-0.648969\pi\) |
0.988190 | + | 0.153235i | \(0.0489690\pi\) | |||||||
\(548\) | −8.75982e15 | − | 2.69600e16i | −0.323453 | − | 0.995487i | ||||
\(549\) | 1.60553e16i | 0.586386i | ||||||||
\(550\) | −3.82009e16 | + | 3.09331e16i | −1.38006 | + | 1.11750i | ||||
\(551\) | 1.18708e16 | 0.424201 | ||||||||
\(552\) | −2.38479e15 | + | 7.74865e14i | −0.0842976 | + | 0.0273900i | ||||
\(553\) | 4.20682e16 | + | 3.05643e16i | 1.47097 | + | 1.06872i | ||||
\(554\) | −6.87539e15 | + | 4.99527e15i | −0.237815 | + | 0.172783i | ||||
\(555\) | 8.79318e14 | − | 2.70626e15i | 0.0300876 | − | 0.0926002i | ||||
\(556\) | 6.82979e16 | + | 2.21913e16i | 2.31184 | + | 0.751164i | ||||
\(557\) | 1.04608e16 | + | 1.43981e16i | 0.350296 | + | 0.482142i | 0.947413 | − | 0.320013i | \(-0.103687\pi\) |
−0.597117 | + | 0.802154i | \(0.703687\pi\) | |||||||
\(558\) | 2.62401e15 | − | 3.61164e15i | 0.0869281 | − | 0.119646i | ||||
\(559\) | −1.08664e16 | − | 3.34435e16i | −0.356137 | − | 1.09608i | ||||
\(560\) | 4.05422e16i | 1.31456i | ||||||||
\(561\) | −1.57194e16 | + | 8.23465e14i | −0.504266 | + | 0.0264160i | ||||
\(562\) | 4.52061e16 | 1.43476 | ||||||||
\(563\) | 1.94297e16 | − | 6.31308e15i | 0.610119 | − | 0.198240i | 0.0123708 | − | 0.999923i | \(-0.496062\pi\) |
0.597748 | + | 0.801684i | \(0.296062\pi\) | |||||||
\(564\) | −9.43493e15 | − | 6.85488e15i | −0.293133 | − | 0.212973i | ||||
\(565\) | −4.64583e16 | + | 3.37539e16i | −1.42815 | + | 1.03761i | ||||
\(566\) | −5.07549e15 | + | 1.56207e16i | −0.154376 | + | 0.475120i | ||||
\(567\) | −2.28330e16 | − | 7.41889e15i | −0.687170 | − | 0.223275i | ||||
\(568\) | −1.15401e16 | − | 1.58835e16i | −0.343651 | − | 0.472995i | ||||
\(569\) | −1.86539e16 | + | 2.56749e16i | −0.549663 | + | 0.756546i | −0.989966 | − | 0.141303i | \(-0.954871\pi\) |
0.440304 | + | 0.897849i | \(0.354871\pi\) | |||||||
\(570\) | −5.96933e15 | − | 1.83717e16i | −0.174051 | − | 0.535674i | ||||
\(571\) | 2.73045e16i | 0.787802i | 0.919153 | + | 0.393901i | \(0.128875\pi\) | ||||
−0.919153 | + | 0.393901i | \(0.871125\pi\) | |||||||
\(572\) | 1.41980e16 | + | 3.69896e16i | 0.405370 | + | 1.05610i | ||||
\(573\) | −9.23168e15 | −0.260827 | ||||||||
\(574\) | −2.13711e15 | + | 6.94390e14i | −0.0597525 | + | 0.0194148i | ||||
\(575\) | 4.24298e15 | + | 3.08270e15i | 0.117399 | + | 0.0852952i | ||||
\(576\) | 3.26323e16 | − | 2.37088e16i | 0.893538 | − | 0.649194i | ||||
\(577\) | 6.07423e15 | − | 1.86946e16i | 0.164603 | − | 0.506595i | −0.834404 | − | 0.551153i | \(-0.814188\pi\) |
0.999007 | + | 0.0445583i | \(0.0141881\pi\) | |||||||
\(578\) | −9.57799e15 | − | 3.11208e15i | −0.256866 | − | 0.0834609i | ||||
\(579\) | 1.26814e14 | + | 1.74544e14i | 0.00336585 | + | 0.00463270i | ||||
\(580\) | 4.96829e16 | − | 6.83826e16i | 1.30508 | − | 1.79629i | ||||
\(581\) | 8.60594e15 | + | 2.64864e16i | 0.223739 | + | 0.688598i | ||||
\(582\) | 8.31579e15i | 0.213976i | ||||||||
\(583\) | −7.59238e14 | − | 2.03456e14i | −0.0193360 | − | 0.00518153i | ||||
\(584\) | 5.83885e16 | 1.47181 | ||||||||
\(585\) | 2.65115e16 | − | 8.61412e15i | 0.661454 | − | 0.214920i | ||||
\(586\) | −1.08666e17 | − | 7.89502e16i | −2.68353 | − | 1.94970i | ||||
\(587\) | −3.61882e16 | + | 2.62922e16i | −0.884581 | + | 0.642686i | −0.934460 | − | 0.356069i | \(-0.884117\pi\) |
0.0498781 | + | 0.998755i | \(0.484117\pi\) | |||||||
\(588\) | 2.66441e16 | − | 8.20020e16i | 0.644669 | − | 1.98409i | ||||
\(589\) | 2.23559e15 | + | 7.26386e14i | 0.0535426 | + | 0.0173971i | ||||
\(590\) | 1.80086e16 | + | 2.47867e16i | 0.426941 | + | 0.587634i | ||||
\(591\) | 8.55823e15 | − | 1.17794e16i | 0.200844 | − | 0.276438i | ||||
\(592\) | −9.51300e14 | − | 2.92780e15i | −0.0220998 | − | 0.0680160i | ||||
\(593\) | − | 4.00771e16i | − | 0.921654i | −0.887490 | − | 0.460827i | \(-0.847553\pi\) | ||
0.887490 | − | 0.460827i | \(-0.152447\pi\) | |||||||
\(594\) | 5.16231e16 | + | 3.35261e16i | 1.17524 | + | 0.763246i | ||||
\(595\) | 1.27273e17 | 2.86837 | ||||||||
\(596\) | −1.45636e17 | + | 4.73201e16i | −3.24932 | + | 1.05577i | ||||
\(597\) | 1.73880e16 | + | 1.26331e16i | 0.384063 | + | 0.279038i | ||||
\(598\) | 5.29865e15 | − | 3.84969e15i | 0.115867 | − | 0.0841819i | ||||
\(599\) | 1.15800e16 | − | 3.56396e16i | 0.250697 | − | 0.771565i | −0.743951 | − | 0.668235i | \(-0.767050\pi\) |
0.994647 | − | 0.103330i | \(-0.0329498\pi\) | |||||||
\(600\) | −3.03014e16 | − | 9.84552e15i | −0.649464 | − | 0.211024i | ||||
\(601\) | −3.51227e16 | − | 4.83423e16i | −0.745318 | − | 1.02584i | −0.998295 | − | 0.0583697i | \(-0.981410\pi\) |
0.252977 | − | 0.967472i | \(-0.418590\pi\) | |||||||
\(602\) | −1.61749e17 | + | 2.22628e17i | −3.39830 | + | 4.67737i | ||||
\(603\) | 2.13986e16 | + | 6.58581e16i | 0.445125 | + | 1.36995i | ||||
\(604\) | 2.35179e16i | 0.484370i | ||||||||
\(605\) | 6.99526e16 | − | 7.34913e15i | 1.42650 | − | 0.149866i | ||||
\(606\) | −2.21288e16 | −0.446810 | ||||||||
\(607\) | 7.25675e16 | − | 2.35786e16i | 1.45081 | − | 0.471396i | 0.525560 | − | 0.850757i | \(-0.323856\pi\) |
0.925249 | + | 0.379360i | \(0.123856\pi\) | |||||||
\(608\) | 1.11881e16 | + | 8.12866e15i | 0.221481 | + | 0.160915i | ||||
\(609\) | −3.05282e16 | + | 2.21800e16i | −0.598407 | + | 0.434768i | ||||
\(610\) | −2.88190e16 | + | 8.86958e16i | −0.559371 | + | 1.72157i | ||||
\(611\) | 1.30570e16 | + | 4.24249e15i | 0.250956 | + | 0.0815406i | ||||
\(612\) | 4.72705e16 | + | 6.50623e16i | 0.899667 | + | 1.23829i | ||||
\(613\) | 1.22794e16 | − | 1.69012e16i | 0.231428 | − | 0.318533i | −0.677471 | − | 0.735549i | \(-0.736924\pi\) |
0.908899 | + | 0.417016i | \(0.136924\pi\) | |||||||
\(614\) | −4.63817e16 | − | 1.42748e17i | −0.865638 | − | 2.66416i | ||||
\(615\) | − | 7.33104e14i | − | 0.0135492i | ||||||
\(616\) | 7.61130e16 | − | 1.17198e17i | 1.39308 | − | 2.14504i | ||||
\(617\) | −4.17104e16 | −0.756021 | −0.378010 | − | 0.925801i | \(-0.623392\pi\) | ||||
−0.378010 | + | 0.925801i | \(0.623392\pi\) | |||||||
\(618\) | 2.95007e16 | − | 9.58537e15i | 0.529544 | − | 0.172059i | ||||
\(619\) | −1.13529e16 | − | 8.24833e15i | −0.201819 | − | 0.146630i | 0.482286 | − | 0.876014i | \(-0.339807\pi\) |
−0.684104 | + | 0.729384i | \(0.739807\pi\) | |||||||
\(620\) | 1.35410e16 | − | 9.83808e15i | 0.238396 | − | 0.173205i | ||||
\(621\) | 2.02951e15 | − | 6.24619e15i | 0.0353868 | − | 0.108909i | ||||
\(622\) | 9.84253e16 | + | 3.19803e16i | 1.69967 | + | 0.552256i | ||||
\(623\) | 4.52413e16 | + | 6.22693e16i | 0.773761 | + | 1.06499i | ||||
\(624\) | −4.98974e15 | + | 6.86779e15i | −0.0845222 | + | 0.116335i | ||||
\(625\) | −1.73017e16 | − | 5.32493e16i | −0.290275 | − | 0.893375i | ||||
\(626\) | − | 1.64005e17i | − | 2.72528i | ||||||
\(627\) | −3.67716e15 | + | 1.37221e16i | −0.0605212 | + | 0.225848i | ||||
\(628\) | −1.04284e17 | −1.70005 | ||||||||
\(629\) | −9.19116e15 | + | 2.98639e15i | −0.148411 | + | 0.0482217i | ||||
\(630\) | −1.76483e17 | − | 1.28223e17i | −2.82267 | − | 2.05079i | ||||
\(631\) | −6.25124e16 | + | 4.54179e16i | −0.990353 | + | 0.719534i | −0.959998 | − | 0.280006i | \(-0.909664\pi\) |
−0.0303547 | + | 0.999539i | \(0.509664\pi\) | |||||||
\(632\) | −2.65819e16 | + | 8.18107e16i | −0.417142 | + | 1.28383i | ||||
\(633\) | 1.43982e16 | + | 4.67825e15i | 0.223813 | + | 0.0727213i | ||||
\(634\) | −5.61366e16 | − | 7.72655e16i | −0.864392 | − | 1.18973i | ||||
\(635\) | 3.14011e16 | − | 4.32199e16i | 0.478964 | − | 0.659237i | ||||
\(636\) | −3.49316e14 | − | 1.07508e15i | −0.00527808 | − | 0.0162442i | ||||
\(637\) | 1.01502e17i | 1.51929i | ||||||||
\(638\) | −8.99112e16 | + | 3.45113e16i | −1.33318 | + | 0.511726i | ||||
\(639\) | 2.25391e16 | 0.331079 | ||||||||
\(640\) | 1.71389e17 | − | 5.56877e16i | 2.49404 | − | 0.810363i | ||||
\(641\) | 4.12727e16 | + | 2.99864e16i | 0.594998 | + | 0.432291i | 0.844100 | − | 0.536186i | \(-0.180135\pi\) |
−0.249102 | + | 0.968477i | \(0.580135\pi\) | |||||||
\(642\) | −8.13029e15 | + | 5.90700e15i | −0.116117 | + | 0.0843639i | ||||
\(643\) | −6.10319e15 | + | 1.87837e16i | −0.0863557 | + | 0.265775i | −0.984905 | − | 0.173098i | \(-0.944622\pi\) |
0.898549 | + | 0.438873i | \(0.144622\pi\) | |||||||
\(644\) | −3.14628e16 | − | 1.02229e16i | −0.441044 | − | 0.143304i | ||||
\(645\) | −5.27699e16 | − | 7.26315e16i | −0.732872 | − | 1.00871i | ||||
\(646\) | −3.85623e16 | + | 5.30764e16i | −0.530601 | + | 0.730309i | ||||
\(647\) | 1.97052e16 | + | 6.06464e16i | 0.268631 | + | 0.826760i | 0.990835 | + | 0.135080i | \(0.0431292\pi\) |
−0.722204 | + | 0.691680i | \(0.756871\pi\) | |||||||
\(648\) | − | 3.97159e16i | − | 0.536431i | ||||||
\(649\) | −1.17872e15 | − | 2.25010e16i | −0.0157740 | − | 0.301116i | ||||
\(650\) | 8.32186e16 | 1.10342 | ||||||||
\(651\) | −7.10646e15 | + | 2.30903e15i | −0.0933614 | + | 0.0303349i | ||||
\(652\) | 1.54350e17 | + | 1.12142e17i | 2.00919 | + | 1.45976i | ||||
\(653\) | 4.18564e15 | − | 3.04104e15i | 0.0539862 | − | 0.0392233i | −0.560465 | − | 0.828178i | \(-0.689378\pi\) |
0.614451 | + | 0.788955i | \(0.289378\pi\) | |||||||
\(654\) | −2.33205e16 | + | 7.17733e16i | −0.298038 | + | 0.917268i | ||||
\(655\) | −1.33553e17 | − | 4.33940e16i | −1.69124 | − | 0.549518i | ||||
\(656\) | −4.66183e14 | − | 6.41646e14i | −0.00584970 | − | 0.00805142i | ||||
\(657\) | −3.93998e16 | + | 5.42291e16i | −0.489893 | + | 0.674280i | ||||
\(658\) | −3.32000e16 | − | 1.02179e17i | −0.409056 | − | 1.25895i | ||||
\(659\) | − | 1.34808e17i | − | 1.64590i | −0.568114 | − | 0.822950i | \(-0.692327\pi\) | ||
0.568114 | − | 0.822950i | \(-0.307673\pi\) | |||||||
\(660\) | 6.36570e16 | + | 7.86135e16i | 0.770163 | + | 0.951116i | ||||
\(661\) | −1.35647e16 | −0.162631 | −0.0813154 | − | 0.996688i | \(-0.525912\pi\) | ||||
−0.0813154 | + | 0.996688i | \(0.525912\pi\) | |||||||
\(662\) | 1.41603e17 | − | 4.60097e16i | 1.68238 | − | 0.546640i | ||||
\(663\) | 2.15599e16 | + | 1.56642e16i | 0.253843 | + | 0.184428i | ||||
\(664\) | −3.72719e16 | + | 2.70796e16i | −0.434884 | + | 0.315962i | ||||
\(665\) | 3.54950e16 | − | 1.09242e17i | 0.410428 | − | 1.26317i | ||||
\(666\) | 1.57536e16 | + | 5.11866e15i | 0.180524 | + | 0.0586558i | ||||
\(667\) | 6.03985e15 | + | 8.31314e15i | 0.0685916 | + | 0.0944083i | ||||
\(668\) | 1.05216e17 | − | 1.44818e17i | 1.18420 | − | 1.62991i | ||||
\(669\) | −3.44101e15 | − | 1.05904e16i | −0.0383822 | − | 0.118128i | ||||
\(670\) | 4.02237e17i | 4.44665i | ||||||||
\(671\) | 5.33020e16 | − | 4.31611e16i | 0.583994 | − | 0.472887i | ||||
\(672\) | −4.39604e16 | −0.477360 | ||||||||
\(673\) | −1.55625e17 | + | 5.05655e16i | −1.67490 | + | 0.544207i | −0.983911 | − | 0.178660i | \(-0.942824\pi\) |
−0.690987 | + | 0.722867i | \(0.742824\pi\) | |||||||
\(674\) | 1.39145e17 | + | 1.01095e17i | 1.48426 | + | 1.07838i | ||||
\(675\) | 6.75117e16 | − | 4.90501e16i | 0.713767 | − | 0.518582i | ||||
\(676\) | −3.29573e16 | + | 1.01432e17i | −0.345360 | + | 1.06291i | ||||
\(677\) | −1.31124e17 | − | 4.26048e16i | −1.36192 | − | 0.442514i | −0.465235 | − | 0.885187i | \(-0.654030\pi\) |
−0.896683 | + | 0.442674i | \(0.854030\pi\) | |||||||
\(678\) | 5.53087e16 | + | 7.61259e16i | 0.569398 | + | 0.783708i | ||||
\(679\) | −2.90645e16 | + | 4.00039e16i | −0.296582 | + | 0.408210i | ||||
\(680\) | 6.50619e16 | + | 2.00240e17i | 0.658072 | + | 2.02534i | ||||
\(681\) | 4.85985e16i | 0.487237i | ||||||||
\(682\) | −1.90444e16 | + | 9.97643e14i | −0.189261 | + | 0.00991446i | ||||
\(683\) | −3.06836e16 | −0.302261 | −0.151131 | − | 0.988514i | \(-0.548291\pi\) | ||||
−0.151131 | + | 0.988514i | \(0.548291\pi\) | |||||||
\(684\) | 6.90282e16 | − | 2.24286e16i | 0.674046 | − | 0.219011i | ||||
\(685\) | 6.89271e16 | + | 5.00785e16i | 0.667186 | + | 0.484739i | ||||
\(686\) | 3.79792e17 | − | 2.75935e17i | 3.64419 | − | 2.64766i | ||||
\(687\) | 1.11849e16 | − | 3.44236e16i | 0.106388 | − | 0.327428i | ||||
\(688\) | −9.23731e16 | − | 3.00138e16i | −0.870993 | − | 0.283003i | ||||
\(689\) | 7.82190e14 | + | 1.07659e15i | 0.00731134 | + | 0.0100632i | ||||
\(690\) | 9.82852e15 | − | 1.35278e16i | 0.0910739 | − | 0.125352i | ||||
\(691\) | −1.03531e16 | − | 3.18635e16i | −0.0951046 | − | 0.292702i | 0.892176 | − | 0.451687i | \(-0.149178\pi\) |
−0.987281 | + | 0.158985i | \(0.949178\pi\) | |||||||
\(692\) | − | 1.49293e17i | − | 1.35958i | ||||||
\(693\) | 5.74892e16 | + | 1.49775e17i | 0.519023 | + | 1.35219i | ||||
\(694\) | −2.87684e17 | −2.57489 | ||||||||
\(695\) | −2.05271e17 | + | 6.66965e16i | −1.82145 | + | 0.591826i | ||||
\(696\) | −5.05020e16 | − | 3.66918e16i | −0.444276 | − | 0.322786i | ||||
\(697\) | −2.01430e15 | + | 1.46347e15i | −0.0175682 | + | 0.0127641i | ||||
\(698\) | −3.04140e16 | + | 9.36047e16i | −0.262991 | + | 0.809404i | ||||
\(699\) | −3.17193e16 | − | 1.03062e16i | −0.271932 | − | 0.0883561i | ||||
\(700\) | −2.47071e17 | − | 3.40065e17i | −2.10007 | − | 2.89050i | ||||
\(701\) | −1.39276e16 | + | 1.91697e16i | −0.117373 | + | 0.161550i | −0.863661 | − | 0.504073i | \(-0.831834\pi\) |
0.746288 | + | 0.665623i | \(0.231834\pi\) | |||||||
\(702\) | −3.22032e16 | − | 9.91111e16i | −0.269076 | − | 0.828132i | ||||
\(703\) | 8.72193e15i | 0.0722571i | ||||||||
\(704\) | −1.66436e17 | − | 4.46004e16i | −1.36713 | − | 0.366355i | ||||
\(705\) | 3.50510e16 | 0.285474 | ||||||||
\(706\) | 2.40915e17 | − | 7.82779e16i | 1.94552 | − | 0.632137i | ||||
\(707\) | −1.06453e17 | − | 7.73425e16i | −0.852395 | − | 0.619301i | ||||
\(708\) | 2.62153e16 | − | 1.90465e16i | 0.208140 | − | 0.151222i | ||||
\(709\) | 2.76241e16 | − | 8.50181e16i | 0.217475 | − | 0.669320i | −0.781493 | − | 0.623914i | \(-0.785542\pi\) |
0.998969 | − | 0.0454066i | \(-0.0144583\pi\) | |||||||
\(710\) | 1.24515e17 | + | 4.04574e16i | 0.972012 | + | 0.315826i | ||||
\(711\) | −5.80456e16 | − | 7.98930e16i | −0.449316 | − | 0.618431i | ||||
\(712\) | −7.48416e16 | + | 1.03011e17i | −0.574464 | + | 0.790682i | ||||
\(713\) | 6.28773e14 | + | 1.93516e15i | 0.00478582 | + | 0.0147292i | ||||
\(714\) | − | 2.08548e17i | − | 1.57404i | ||||||
\(715\) | −9.98686e16 | − | 6.48587e16i | −0.747468 | − | 0.485436i | ||||
\(716\) | −1.90974e17 | −1.41741 | ||||||||
\(717\) | −9.90872e16 | + | 3.21954e16i | −0.729294 | + | 0.236962i | ||||
\(718\) | 1.70809e17 | + | 1.24100e17i | 1.24671 | + | 0.905786i | ||||
\(719\) | 1.70437e17 | − | 1.23830e17i | 1.23365 | − | 0.896297i | 0.236489 | − | 0.971634i | \(-0.424003\pi\) |
0.997158 | + | 0.0753375i | \(0.0240034\pi\) | |||||||
\(720\) | 2.37928e16 | − | 7.32266e16i | 0.170785 | − | 0.525623i | ||||
\(721\) | 1.75418e17 | + | 5.69968e16i | 1.24871 | + | 0.405731i | ||||
\(722\) | −1.05029e17 | − | 1.44561e17i | −0.741460 | − | 1.02053i | ||||
\(723\) | 3.82403e16 | − | 5.26333e16i | 0.267727 | − | 0.368494i | ||||
\(724\) | 1.26247e17 | + | 3.88548e17i | 0.876575 | + | 2.69782i | ||||
\(725\) | 1.30563e17i | 0.899067i | ||||||||
\(726\) | −1.20422e16 | − | 1.14623e17i | −0.0822404 | − | 0.782805i | ||||
\(727\) | 2.12386e17 | 1.43853 | 0.719267 | − | 0.694734i | \(-0.244478\pi\) | ||||
0.719267 | + | 0.694734i | \(0.244478\pi\) | |||||||
\(728\) | −2.25008e17 | + | 7.31096e16i | −1.51151 | + | 0.491118i | ||||
\(729\) | −1.06000e16 | − | 7.70134e15i | −0.0706220 | − | 0.0513099i | ||||
\(730\) | −3.15001e17 | + | 2.28861e17i | −2.08149 | + | 1.51229i | ||||
\(731\) | −9.42216e16 | + | 2.89984e17i | −0.617513 | + | 1.90051i | ||||
\(732\) | 9.38077e16 | + | 3.04800e16i | 0.609778 | + | 0.198129i | ||||
\(733\) | 1.51817e17 | + | 2.08958e17i | 0.978806 | + | 1.34721i | 0.937470 | + | 0.348065i | \(0.113161\pi\) |
0.0413354 | + | 0.999145i | \(0.486839\pi\) | |||||||
\(734\) | 3.31222e16 | − | 4.55889e16i | 0.211809 | − | 0.291529i | ||||
\(735\) | 8.00793e16 | + | 2.46459e17i | 0.507921 | + | 1.56322i | ||||
\(736\) | 1.19709e16i | 0.0753112i | ||||||||
\(737\) | 1.61117e17 | − | 2.48087e17i | 1.00540 | − | 1.54810i | ||||
\(738\) | 4.26752e15 | 0.0264142 | ||||||||
\(739\) | −8.84457e16 | + | 2.87377e16i | −0.543013 | + | 0.176435i | −0.567664 | − | 0.823261i | \(-0.692153\pi\) |
0.0246510 | + | 0.999696i | \(0.492153\pi\) | |||||||
\(740\) | 5.02431e16 | + | 3.65038e16i | 0.305975 | + | 0.222304i | ||||
\(741\) | 1.94578e16 | − | 1.41369e16i | 0.117540 | − | 0.0853977i | ||||
\(742\) | 3.21805e15 | − | 9.90415e15i | 0.0192828 | − | 0.0593463i | ||||
\(743\) | 5.10858e15 | + | 1.65988e15i | 0.0303646 | + | 0.00986605i | 0.324160 | − | 0.946002i | \(-0.394918\pi\) |
−0.293795 | + | 0.955868i | \(0.594918\pi\) | |||||||
\(744\) | −7.26563e15 | − | 1.00003e16i | −0.0428387 | − | 0.0589623i | ||||
\(745\) | 2.70522e17 | − | 3.72341e17i | 1.58221 | − | 2.17773i | ||||
\(746\) | 5.84702e16 | + | 1.79953e17i | 0.339236 | + | 1.04406i | ||||
\(747\) | − | 5.28897e16i | − | 0.304402i | ||||||
\(748\) | 8.89242e16 | − | 3.31840e17i | 0.507704 | − | 1.89461i | ||||
\(749\) | −5.97571e16 | −0.338453 | ||||||||
\(750\) | 1.09616e16 | − | 3.56165e15i | 0.0615895 | − | 0.0200117i | ||||
\(751\) | −9.39708e16 | − | 6.82738e16i | −0.523786 | − | 0.380552i | 0.294243 | − | 0.955731i | \(-0.404933\pi\) |
−0.818028 | + | 0.575178i | \(0.804933\pi\) | |||||||
\(752\) | 3.06782e16 | − | 2.22890e16i | 0.169638 | − | 0.123249i | ||||
\(753\) | −1.20421e16 | + | 3.70618e16i | −0.0660592 | + | 0.203309i | ||||
\(754\) | 1.55068e17 | + | 5.03845e16i | 0.843904 | + | 0.274201i | ||||
\(755\) | −4.15468e16 | − | 5.71842e16i | −0.224314 | − | 0.308741i | ||||
\(756\) | −3.09399e17 | + | 4.25851e17i | −1.65725 | + | 2.28101i | ||||
\(757\) | 8.20171e16 | + | 2.52423e17i | 0.435842 | + | 1.34138i | 0.892221 | + | 0.451598i | \(0.149146\pi\) |
−0.456380 | + | 0.889785i | \(0.650854\pi\) | |||||||
\(758\) | − | 1.96066e17i | − | 1.03368i | ||||||
\(759\) | −1.14805e16 | + | 4.40666e15i | −0.0600497 | + | 0.0230494i | ||||
\(760\) | 1.90017e17 | 0.986078 | ||||||||
\(761\) | 1.58514e17 | − | 5.15042e16i | 0.816129 | − | 0.265176i | 0.128937 | − | 0.991653i | \(-0.458843\pi\) |
0.687191 | + | 0.726476i | \(0.258843\pi\) | |||||||
\(762\) | −7.08196e16 | − | 5.14534e16i | −0.361762 | − | 0.262836i | ||||
\(763\) | −3.63041e17 | + | 2.63764e17i | −1.83996 | + | 1.33681i | ||||
\(764\) | 6.22614e16 | − | 1.91621e17i | 0.313082 | − | 0.963568i | ||||
\(765\) | −2.29878e17 | − | 7.46920e16i | −1.14691 | − | 0.372654i | ||||
\(766\) | −1.47613e17 | − | 2.03172e17i | −0.730722 | − | 1.00575i | ||||
\(767\) | −2.24219e16 | + | 3.08611e16i | −0.110129 | + | 0.151579i | ||||
\(768\) | −4.91869e16 | − | 1.51382e17i | −0.239708 | − | 0.737744i | ||||
\(769\) | − | 2.19475e17i | − | 1.06127i | −0.847600 | − | 0.530636i | \(-0.821953\pi\) | ||
0.847600 | − | 0.530636i | \(-0.178047\pi\) | |||||||
\(770\) | 4.87500e16 | + | 9.30607e17i | 0.233900 | + | 4.46501i | ||||
\(771\) | 1.32476e17 | 0.630681 | ||||||||
\(772\) | −4.47826e15 | + | 1.45508e15i | −0.0211546 | + | 0.00687356i | ||||
\(773\) | −2.51323e17 | − | 1.82597e17i | −1.17803 | − | 0.855886i | −0.186079 | − | 0.982535i | \(-0.559578\pi\) |
−0.991948 | + | 0.126649i | \(0.959578\pi\) | |||||||
\(774\) | 4.22800e17 | − | 3.07182e17i | 1.96648 | − | 1.42873i | ||||
\(775\) | −7.98926e15 | + | 2.45884e16i | −0.0368720 | + | 0.113480i | ||||
\(776\) | −7.77963e16 | − | 2.52776e16i | −0.356278 | − | 0.115762i | ||||
\(777\) | −1.62964e16 | − | 2.24301e16i | −0.0740571 | − | 0.101931i | ||||
\(778\) | 1.97690e17 | − | 2.72096e17i | 0.891469 | − | 1.22700i | ||||
\(779\) | 6.94380e14 | + | 2.13708e15i | 0.00310722 | + | 0.00956305i | ||||
\(780\) | − | 1.71255e17i | − | 0.760459i | ||||||
\(781\) | −6.05915e16 | − | 7.48277e16i | −0.266996 | − | 0.329728i | ||||
\(782\) | −5.67898e16 | −0.248330 | ||||||||
\(783\) | 1.55497e17 | − | 5.05241e16i | 0.674764 | − | 0.219244i | ||||
\(784\) | 2.26813e17 | + | 1.64789e17i | 0.976722 | + | 0.709630i | ||||
\(785\) | 2.53569e17 | − | 1.84229e17i | 1.08362 | − | 0.787300i | ||||
\(786\) | −7.11048e16 | + | 2.18838e17i | −0.301553 | + | 0.928085i | ||||
\(787\) | 1.63409e17 | + | 5.30948e16i | 0.687745 | + | 0.223462i | 0.631983 | − | 0.774982i | \(-0.282241\pi\) |
0.0557618 | + | 0.998444i | \(0.482241\pi\) | |||||||
\(788\) | 1.86784e17 | + | 2.57086e17i | 0.780158 | + | 1.07379i | ||||
\(789\) | −4.77367e15 | + | 6.57040e15i | −0.0197875 | + | 0.0272351i | ||||
\(790\) | −1.77261e17 | − | 5.45552e17i | −0.729205 | − | 2.24426i | ||||
\(791\) | 5.59521e17i | 2.28432i | ||||||||
\(792\) | −2.06253e17 | + | 1.67013e17i | −0.835699 | + | 0.676704i | ||||
\(793\) | −1.16115e17 | −0.466929 | ||||||||
\(794\) | −4.79726e17 | + | 1.55872e17i | −1.91457 | + | 0.622080i | ||||
\(795\) | 2.74861e15 | + | 1.99698e15i | 0.0108871 | + | 0.00790991i | ||||
\(796\) | −3.79493e17 | + | 2.75718e17i | −1.49185 | + | 1.08389i | ||||
\(797\) | −1.66641e16 | + | 5.12870e16i | −0.0650179 | + | 0.200105i | −0.978288 | − | 0.207250i | \(-0.933549\pi\) |
0.913270 | + | 0.407355i | \(0.133549\pi\) | |||||||
\(798\) | −1.79003e17 | − | 5.81616e16i | −0.693175 | − | 0.225226i | ||||
\(799\) | −6.99713e16 | − | 9.63073e16i | −0.268930 | − | 0.370151i | ||||
\(800\) | −8.94042e16 | + | 1.23054e17i | −0.341050 | + | 0.469415i | ||||
\(801\) | −4.51704e16 | − | 1.39020e17i | −0.171025 | − | 0.526360i | ||||
\(802\) | − | 3.89801e17i | − | 1.46486i | ||||||
\(803\) | 2.85953e17 | − | 1.49797e16i | 1.06660 | − | 0.0558741i | ||||
\(804\) | 4.25420e17 | 1.57500 | ||||||||
\(805\) | 9.45621e16 | − | 3.07251e16i | 0.347490 | − | 0.112906i | ||||
\(806\) | 2.61202e16 | + | 1.89774e16i | 0.0952722 | + | 0.0692193i | ||||
\(807\) | 1.20987e17 | − | 8.79025e16i | 0.438025 | − | 0.318244i | ||||
\(808\) | 6.72651e16 | − | 2.07021e17i | 0.241725 | − | 0.743953i | ||||
\(809\) | −3.73073e16 | − | 1.21219e16i | −0.133077 | − | 0.0432394i | 0.241721 | − | 0.970346i | \(-0.422288\pi\) |
−0.374798 | + | 0.927106i | \(0.622288\pi\) | |||||||
\(810\) | 1.55671e17 | + | 2.14263e17i | 0.551187 | + | 0.758644i | ||||
\(811\) | −2.32130e17 | + | 3.19499e17i | −0.815841 | + | 1.12291i | 0.174555 | + | 0.984647i | \(0.444151\pi\) |
−0.990396 | + | 0.138261i | \(0.955849\pi\) | |||||||
\(812\) | −2.54496e17 | − | 7.83258e17i | −0.887860 | − | 2.73255i | ||||
\(813\) | 7.23474e16i | 0.250542i | ||||||||
\(814\) | −2.53567e16 | − | 6.60609e16i | −0.0871659 | − | 0.227090i | ||||
\(815\) | −5.73416e17 | −1.95670 | ||||||||
\(816\) | 7.00049e16 | − | 2.27460e16i | 0.237131 | − | 0.0770484i | ||||
\(817\) | 2.22625e17 | + | 1.61747e17i | 0.748586 | + | 0.543880i | ||||
\(818\) | −3.87074e17 | + | 2.81226e17i | −1.29203 | + | 0.938718i | ||||
\(819\) | 8.39308e16 | − | 2.58313e17i | 0.278111 | − | 0.855938i | ||||
\(820\) | 1.52170e16 | + | 4.94429e15i | 0.0500547 | + | 0.0162637i | ||||
\(821\) | 2.28545e17 | + | 3.14566e17i | 0.746300 | + | 1.02719i | 0.998231 | + | 0.0594489i | \(0.0189343\pi\) |
−0.251931 | + | 0.967745i | \(0.581066\pi\) | |||||||
\(822\) | 8.20579e16 | − | 1.12943e17i | 0.266005 | − | 0.366124i | ||||
\(823\) | −1.18376e17 | − | 3.64324e17i | −0.380947 | − | 1.17243i | −0.939378 | − | 0.342883i | \(-0.888596\pi\) |
0.558431 | − | 0.829551i | \(-0.311404\pi\) | |||||||
\(824\) | 3.05124e17i | 0.974793i | ||||||||
\(825\) | −1.50925e17 | − | 4.04438e16i | −0.478670 | − | 0.128271i | ||||
\(826\) | 2.98519e17 | 0.939921 | ||||||||
\(827\) | 1.34808e17 | − | 4.38016e16i | 0.421387 | − | 0.136917i | −0.0906450 | − | 0.995883i | \(-0.528893\pi\) |
0.512032 | + | 0.858966i | \(0.328893\pi\) | |||||||
\(828\) | 5.08281e16 | + | 3.69288e16i | 0.157733 | + | 0.114599i | ||||
\(829\) | −1.74425e17 | + | 1.26727e17i | −0.537381 | + | 0.390430i | −0.823111 | − | 0.567880i | \(-0.807764\pi\) |
0.285731 | + | 0.958310i | \(0.407764\pi\) | |||||||
\(830\) | 9.49364e16 | − | 2.92184e17i | 0.290378 | − | 0.893692i | ||||
\(831\) | −2.56922e16 | − | 8.34791e15i | −0.0780181 | − | 0.0253496i | ||||
\(832\) | 1.71467e17 | + | 2.36004e17i | 0.516941 | + | 0.711509i | ||||
\(833\) | 5.17318e17 | − | 7.12027e17i | 1.54842 | − | 2.13121i | ||||
\(834\) | 1.09288e17 | + | 3.36354e17i | 0.324770 | + | 0.999540i | ||||
\(835\) | 5.38003e17i | 1.58733i | ||||||||
\(836\) | −2.60028e17 | − | 1.68873e17i | −0.761698 | − | 0.494677i | ||||
\(837\) | 3.23758e16 | 0.0941602 | ||||||||
\(838\) | 2.91540e17 | − | 9.47271e16i | 0.841849 | − | 0.273533i | ||||
\(839\) | −2.41871e17 | − | 1.75730e17i | −0.693446 | − | 0.503818i | 0.184345 | − | 0.982862i | \(-0.440984\pi\) |
−0.877791 | + | 0.479044i | \(0.840984\pi\) | |||||||
\(840\) | −4.88666e17 | + | 3.55036e17i | −1.39103 | + | 1.01064i | ||||
\(841\) | 3.02856e16 | − | 9.32096e16i | 0.0855974 | − | 0.263442i | ||||
\(842\) | −2.13210e17 | − | 6.92761e16i | −0.598322 | − | 0.194407i | ||||
\(843\) | 8.44639e16 | + | 1.16255e17i | 0.235345 | + | 0.323925i | ||||
\(844\) | −1.94212e17 | + | 2.67310e17i | −0.537305 | + | 0.739537i | ||||
\(845\) | −9.90540e16 | − | 3.04857e17i | −0.272102 | − | 0.837444i | ||||
\(846\) | 2.04038e17i | 0.556530i | ||||||||
\(847\) | 3.42690e17 | − | 5.93495e17i | 0.928114 | − | 1.60737i | ||||
\(848\) | 3.67559e15 | 0.00988445 | ||||||||
\(849\) | −4.96543e16 | + | 1.61337e16i | −0.132590 | + | 0.0430811i | ||||
\(850\) | −5.83769e17 | − | 4.24133e17i | −1.54784 | − | 1.12457i | ||||
\(851\) | −6.10796e15 | + | 4.43769e15i | −0.0160812 | + | 0.0116837i | ||||
\(852\) | 4.27891e16 | − | 1.31691e17i | 0.111865 | − | 0.344286i | ||||
\(853\) | 1.37510e17 | + | 4.46797e16i | 0.356977 | + | 0.115989i | 0.482015 | − | 0.876163i | \(-0.339905\pi\) |
−0.125038 | + | 0.992152i | \(0.539905\pi\) | |||||||
\(854\) | 5.34104e17 | + | 7.35131e17i | 1.37682 | + | 1.89504i | ||||
\(855\) | −1.28221e17 | + | 1.76481e17i | −0.328218 | + | 0.451753i | ||||
\(856\) | −3.05478e16 | − | 9.40164e16i | −0.0776493 | − | 0.238980i | ||||
\(857\) | 5.39655e17i | 1.36217i | 0.732205 | + | 0.681085i | \(0.238491\pi\) | ||||
−0.732205 | + | 0.681085i | \(0.761509\pi\) | |||||||
\(858\) | −1.06276e17 | + | 1.63643e17i | −0.266387 | + | 0.410180i | ||||
\(859\) | −3.66949e17 | −0.913370 | −0.456685 | − | 0.889628i | \(-0.650963\pi\) | ||||
−0.456685 | + | 0.889628i | \(0.650963\pi\) | |||||||
\(860\) | 1.86350e18 | − | 6.05488e17i | 4.60616 | − | 1.49663i | ||||
\(861\) | −5.77875e15 | − | 4.19851e15i | −0.0141845 | − | 0.0103057i | ||||
\(862\) | 4.88471e17 | − | 3.54895e17i | 1.19068 | − | 0.865080i | ||||
\(863\) | −1.12294e17 | + | 3.45605e17i | −0.271826 | + | 0.836596i | 0.718215 | + | 0.695821i | \(0.244959\pi\) |
−0.990042 | + | 0.140775i | \(0.955041\pi\) | |||||||
\(864\) | 1.81151e17 | + | 5.88596e16i | 0.435471 | + | 0.141493i | ||||
\(865\) | 2.63742e17 | + | 3.63009e17i | 0.629625 | + | 0.866605i | ||||
\(866\) | −4.37980e17 | + | 6.02828e17i | −1.03836 | + | 1.42918i | ||||
\(867\) | −9.89249e15 | − | 3.04460e16i | −0.0232912 | − | 0.0716828i | ||||
\(868\) | − | 1.63081e17i | − | 0.381315i | ||||||
\(869\) | −1.09194e17 | + | 4.07481e17i | −0.253560 | + | 0.946213i | ||||
\(870\) | 4.16272e17 | 0.959978 | ||||||||
\(871\) | −4.76301e17 | + | 1.54760e17i | −1.09087 | + | 0.354445i | ||||
\(872\) | −6.00569e17 | − | 4.36339e17i | −1.36604 | − | 0.992488i | ||||
\(873\) | 7.59727e16 | − | 5.51974e16i | 0.171622 | − | 0.124690i | ||||
\(874\) | −1.58380e16 | + | 4.87444e16i | −0.0355330 | + | 0.109359i | ||||
\(875\) | 6.51802e16 | + | 2.11783e16i | 0.145234 | + | 0.0471893i | ||||
\(876\) | 2.42052e17 | + | 3.33155e17i | 0.535653 | + | 0.737263i | ||||
\(877\) | −1.92741e17 | + | 2.65286e17i | −0.423621 | + | 0.583064i | −0.966474 | − | 0.256763i | \(-0.917344\pi\) |
0.542853 | + | 0.839828i | \(0.317344\pi\) | |||||||
\(878\) | 9.46292e16 | + | 2.91239e17i | 0.206566 | + | 0.635744i | ||||
\(879\) | − | 4.26962e17i | − | 0.925671i | ||||||
\(880\) | −3.07067e17 | + | 1.17864e17i | −0.661207 | + | 0.253797i | ||||
\(881\) | 8.50950e17 | 1.81990 | 0.909952 | − | 0.414714i | \(-0.136118\pi\) | ||||
0.909952 | + | 0.414714i | \(0.136118\pi\) | |||||||
\(882\) | −1.43468e18 | + | 4.66155e17i | −3.04750 | + | 0.990192i | ||||
\(883\) | 7.33100e17 | + | 5.32628e17i | 1.54667 | + | 1.12372i | 0.945970 | + | 0.324254i | \(0.105113\pi\) |
0.600704 | + | 0.799471i | \(0.294887\pi\) | |||||||
\(884\) | −4.70545e17 | + | 3.41871e17i | −0.986025 | + | 0.716389i | ||||
\(885\) | −3.00953e16 | + | 9.26238e16i | −0.0626382 | + | 0.192781i | ||||
\(886\) | 5.61672e17 | + | 1.82498e17i | 1.16113 | + | 0.377274i | ||||
\(887\) | −3.72972e17 | − | 5.13352e17i | −0.765834 | − | 1.05408i | −0.996706 | − | 0.0810955i | \(-0.974158\pi\) |
0.230873 | − | 0.972984i | \(-0.425842\pi\) | |||||||
\(888\) | 2.69588e16 | − | 3.71056e16i | 0.0549823 | − | 0.0756766i | ||||
\(889\) | −1.60849e17 | − | 4.95043e17i | −0.325843 | − | 1.00284i | ||||
\(890\) | − | 8.49083e17i | − | 1.70848i | ||||||
\(891\) | −1.01892e16 | − | 1.94505e17i | −0.0203645 | − | 0.388746i | ||||
\(892\) | 2.43030e17 | 0.482470 | ||||||||
\(893\) | −1.02178e17 | + | 3.31995e16i | −0.201487 | + | 0.0654671i | ||||
\(894\) | −6.10113e17 | − | 4.43273e17i | −1.19505 | − | 0.868252i | ||||
\(895\) | 4.64357e17 | − | 3.37375e17i | 0.903470 | − | 0.656409i | ||||
\(896\) | 5.42587e17 | − | 1.66991e18i | 1.04863 | − | 3.22735i | ||||
\(897\) | 1.98002e16 | + | 6.43347e15i | 0.0380114 | + | 0.0123507i | ||||
\(898\) | −5.91532e17 | − | 8.14174e17i | −1.12803 | − | 1.55260i | ||||
\(899\) | −2.97740e16 | + | 4.09804e16i | −0.0564000 | + | 0.0776280i | ||||
\(900\) | 2.46684e17 | + | 7.59216e17i | 0.464180 | + | 1.42860i | ||||
\(901\) | − | 1.15387e16i | − | 0.0215679i | ||||||
\(902\) | −1.14723e16 | − | 1.41678e16i | −0.0213016 | − | 0.0263065i | ||||
\(903\) | −8.74738e17 | −1.61343 | ||||||||
\(904\) | −8.80300e17 | + | 2.86027e17i | −1.61295 | + | 0.524078i | ||||
\(905\) | −9.93380e17 | − | 7.21733e17i | −1.80811 | − | 1.31367i | ||||
\(906\) | −9.37012e16 | + | 6.80779e16i | −0.169424 | + | 0.123094i | ||||
\(907\) | 1.13563e17 | − | 3.49510e17i | 0.203982 | − | 0.627792i | −0.795772 | − | 0.605597i | \(-0.792935\pi\) |
0.999754 | − | 0.0221950i | \(-0.00706548\pi\) | |||||||
\(908\) | −1.00875e18 | − | 3.27763e17i | −1.79999 | − | 0.584851i | ||||
\(909\) | 1.46884e17 | + | 2.02168e17i | 0.260369 | + | 0.358368i | ||||
\(910\) | 9.27335e17 | − | 1.27637e18i | 1.63301 | − | 2.24764i | ||||
\(911\) | 1.90380e17 | + | 5.85929e17i | 0.333051 | + | 1.02503i | 0.967674 | + | 0.252204i | \(0.0811554\pi\) |
−0.634623 | + | 0.772822i | \(0.718845\pi\) | |||||||
\(912\) | − | 6.64310e16i | − | 0.115452i | ||||||
\(913\) | −1.75589e17 | + | 1.42183e17i | −0.303160 | + | 0.245483i | ||||
\(914\) | 1.17689e18 | 2.01865 | ||||||||
\(915\) | −2.81941e17 | + | 9.16082e16i | −0.480432 | + | 0.156102i | ||||
\(916\) | 6.39092e17 | + | 4.64328e17i | 1.08191 | + | 0.786053i | ||||
\(917\) | −1.10692e18 | + | 8.04223e17i | −1.86166 | + | 1.35257i | ||||
\(918\) | −2.79229e17 | + | 8.59380e17i | −0.466558 | + | 1.43592i | ||||
\(919\) | 2.38127e17 | + | 7.73722e16i | 0.395290 | + | 0.128437i | 0.499915 | − | 0.866074i | \(-0.333364\pi\) |
−0.104626 | + | 0.994512i | \(0.533364\pi\) | |||||||
\(920\) | 9.66802e16 | + | 1.33069e17i | 0.159445 | + | 0.219457i | ||||
\(921\) | 2.80439e17 | − | 3.85991e17i | 0.459495 | − | 0.632440i | ||||
\(922\) | −1.37894e17 | − | 4.24394e17i | −0.224471 | − | 0.690849i | ||||
\(923\) | 1.63008e17i | 0.263632i | ||||||||
\(924\) | 9.84242e17 | − | 5.15597e16i | 1.58150 | − | 0.0828473i | ||||
\(925\) | −9.59293e16 | −0.153144 | ||||||||
\(926\) | −4.47693e17 | + | 1.45464e17i | −0.710092 | + | 0.230723i | ||||
\(927\) | −2.83387e17 | − | 2.05893e17i | −0.446583 | − | 0.324462i | ||||
\(928\) | −2.41097e17 | + | 1.75167e17i | −0.377488 | + | 0.274261i | ||||
\(929\) | −3.71964e16 | + | 1.14479e17i | −0.0578637 | + | 0.178086i | −0.975811 | − | 0.218617i | \(-0.929846\pi\) |
0.917947 | + | 0.396703i | \(0.129846\pi\) | |||||||
\(930\) | 7.83948e16 | + | 2.54720e16i | 0.121168 | + | 0.0393700i | ||||
\(931\) | −4.66881e17 | − | 6.42606e17i | −0.716981 | − | 0.986840i | ||||
\(932\) | 4.27850e17 | − | 5.88885e17i | 0.652824 | − | 0.898535i | ||||
\(933\) | 1.01657e17 | + | 3.12869e17i | 0.154116 | + | 0.474321i | ||||
\(934\) | 1.80835e18i | 2.72396i | ||||||||
\(935\) | 3.70008e17 | + | 9.63968e17i | 0.553785 | + | 1.44276i | ||||
\(936\) | 4.49311e17 | 0.668178 | ||||||||
\(937\) | −1.27696e17 | + | 4.14909e16i | −0.188686 | + | 0.0613078i | −0.401836 | − | 0.915712i | \(-0.631628\pi\) |
0.213150 | + | 0.977020i | \(0.431628\pi\) | |||||||
\(938\) | 3.17066e18 | + | 2.30362e18i | 4.65514 | + | 3.38216i | ||||
\(939\) | 4.21764e17 | − | 3.06430e17i | 0.615285 | − | 0.447031i | ||||
\(940\) | −2.36395e17 | + | 7.27550e17i | −0.342666 | + | 1.05462i | ||||
\(941\) | 2.11305e17 | + | 6.86570e16i | 0.304348 | + | 0.0988888i | 0.457210 | − | 0.889359i | \(-0.348849\pi\) |
−0.152861 | + | 0.988248i | \(0.548849\pi\) | |||||||
\(942\) | −3.01875e17 | − | 4.15495e17i | −0.432038 | − | 0.594649i | ||||
\(943\) | −1.14330e15 | + | 1.57361e15i | −0.00162588 | + | 0.00223784i | ||||
\(944\) | 3.25590e16 | + | 1.00206e17i | 0.0460086 | + | 0.141600i | ||||
\(945\) | − | 1.58205e18i | − | 2.22141i | ||||||
\(946\) | −2.15642e18 | − | 5.77864e17i | −3.00876 | − | 0.806267i | ||||
\(947\) | 3.87774e17 | 0.537624 | 0.268812 | − | 0.963193i | \(-0.413369\pi\) | ||||
0.268812 | + | 0.963193i | \(0.413369\pi\) | |||||||
\(948\) | −5.76995e17 | + | 1.87477e17i | −0.794917 | + | 0.258284i | ||||
\(949\) | −3.92197e17 | − | 2.84948e17i | −0.536917 | − | 0.390093i | ||||
\(950\) | −5.26853e17 | + | 3.82781e17i | −0.716717 | + | 0.520725i | ||||
\(951\) | 9.38135e16 | − | 2.88728e17i | 0.126818 | − | 0.390307i | ||||
\(952\) | 1.95102e18 | + | 6.33924e17i | 2.62083 | + | 0.851561i | ||||
\(953\) | −2.50792e17 | − | 3.45186e17i | −0.334778 | − | 0.460782i | 0.608129 | − | 0.793838i | \(-0.291920\pi\) |
−0.942907 | + | 0.333056i | \(0.891920\pi\) | |||||||
\(954\) | −1.16248e16 | + | 1.60001e16i | −0.0154204 | + | 0.0212243i | ||||
\(955\) | 1.87128e17 | + | 5.75920e17i | 0.246671 | + | 0.759175i | ||||
\(956\) | − | 2.27388e18i | − | 2.97865i | ||||||
\(957\) | −2.56743e17 | − | 1.66739e17i | −0.334216 | − | 0.217053i | ||||
\(958\) | −1.21456e18 | −1.57118 | ||||||||
\(959\) | 7.89495e17 | − | 2.56522e17i | 1.01493 | − | 0.329772i | ||||
\(960\) | 6.02535e17 | + | 4.37767e17i | 0.769759 | + | 0.559263i | ||||
\(961\) | 6.29118e17 | − | 4.57081e17i | 0.798715 | − | 0.580300i | ||||
\(962\) | −3.70193e16 | + | 1.13934e17i | −0.0467066 | + | 0.143748i | ||||
\(963\) | 1.07932e17 | + | 3.50693e16i | 0.135330 | + | 0.0439713i | ||||
\(964\) | 8.34598e17 | + | 1.14873e18i | 1.03996 | + | 1.43138i | ||||
\(965\) | 8.31844e15 | − | 1.14493e16i | 0.0103010 | − | 0.0141781i | ||||
\(966\) | −5.03457e16 | − | 1.54948e17i | −0.0619583 | − | 0.190688i | ||||
\(967\) | − | 3.26609e17i | − | 0.399456i | −0.979851 | − | 0.199728i | \(-0.935994\pi\) | ||
0.979851 | − | 0.199728i | \(-0.0640058\pi\) | |||||||
\(968\) | 1.10893e18 | + | 2.35764e17i | 1.34789 | + | 0.286566i | ||||
\(969\) | −2.08545e17 | −0.251917 | ||||||||
\(970\) | 5.18782e17 | − | 1.68563e17i | 0.622809 | − | 0.202363i | ||||
\(971\) | −8.44931e17 | − | 6.13878e17i | −1.00810 | − | 0.732431i | −0.0442941 | − | 0.999019i | \(-0.514104\pi\) |
−0.963811 | + | 0.266587i | \(0.914104\pi\) | |||||||
\(972\) | 1.26301e18 | − | 9.17631e17i | 1.49765 | − | 1.08810i | ||||
\(973\) | −6.49851e17 | + | 2.00003e18i | −0.765837 | + | 2.35701i | ||||
\(974\) | −1.23984e18 | − | 4.02850e17i | −1.45216 | − | 0.471834i | ||||
\(975\) | 1.55487e17 | + | 2.14010e17i | 0.180995 | + | 0.249118i | ||||
\(976\) | −1.88513e17 | + | 2.59467e17i | −0.218094 | + | 0.300180i | ||||
\(977\) | 5.36677e17 | + | 1.65172e18i | 0.617086 | + | 1.89919i | 0.361210 | + | 0.932484i | \(0.382364\pi\) |
0.255875 | + | 0.966710i | \(0.417636\pi\) | |||||||
\(978\) | 9.39591e17i | 1.07376i | ||||||||
\(979\) | −3.40103e17 | + | 5.23687e17i | −0.386291 | + | 0.594806i | ||||
\(980\) | −5.65579e18 | −6.38465 | ||||||||
\(981\) | 8.10511e17 | − | 2.63351e17i | 0.909379 | − | 0.295475i | ||||
\(982\) | −1.80613e18 | − | 1.31223e18i | −2.01410 | − | 1.46333i | ||||
\(983\) | 1.16421e18 | − | 8.45849e17i | 1.29036 | − | 0.937500i | 0.290546 | − | 0.956861i | \(-0.406163\pi\) |
0.999813 | + | 0.0193605i | \(0.00616302\pi\) | |||||||
\(984\) | 3.65146e15 | − | 1.12380e16i | 0.00402250 | − | 0.0123800i | ||||
\(985\) | −9.08337e17 | − | 2.95137e17i | −0.994557 | − | 0.323151i | ||||
\(986\) | −8.30991e17 | − | 1.14376e18i | −0.904347 | − | 1.24473i | ||||
\(987\) | 2.00738e17 | − | 2.76292e17i | 0.217134 | − | 0.298859i | ||||
\(988\) | 1.62209e17 | + | 4.99227e17i | 0.174395 | + | 0.536731i | ||||
\(989\) | 2.38200e17i | 0.254545i | ||||||||
\(990\) | 4.58088e17 | − | 1.70946e18i | 0.486562 | − | 1.81571i | ||||
\(991\) | 1.77928e18 | 1.87846 | 0.939232 | − | 0.343284i | \(-0.111539\pi\) | ||||
0.939232 | + | 0.343284i | \(0.111539\pi\) | |||||||
\(992\) | −5.61234e16 | + | 1.82356e16i | −0.0588944 | + | 0.0191360i | ||||
\(993\) | 3.82895e17 | + | 2.78190e17i | 0.399378 | + | 0.290165i | ||||
\(994\) | 1.03201e18 | − | 7.49798e17i | 1.06995 | − | 0.777367i | ||||
\(995\) | 4.35661e17 | − | 1.34083e18i | 0.448963 | − | 1.38176i | ||||
\(996\) | −3.09024e17 | − | 1.00408e17i | −0.316545 | − | 0.102852i | ||||
\(997\) | 6.12116e17 | + | 8.42505e17i | 0.623251 | + | 0.857831i | 0.997585 | − | 0.0694630i | \(-0.0221286\pi\) |
−0.374334 | + | 0.927294i | \(0.622129\pi\) | |||||||
\(998\) | 6.53737e17 | − | 8.99792e17i | 0.661637 | − | 0.910666i | ||||
\(999\) | 3.71218e16 | + | 1.14249e17i | 0.0373454 | + | 0.114937i |
(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 | 11.13.d.a.6.1 | yes | 44 | |
11.2 | odd | 10 | inner | 11.13.d.a.2.1 | ✓ | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.13.d.a.2.1 | ✓ | 44 | 11.2 | odd | 10 | inner | |
11.13.d.a.6.1 | yes | 44 | 1.1 | even | 1 | trivial |