Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 8.11 | ||
Character | \(\chi\) | \(=\) | 17.8 |
Dual form | 17.10.d.a.15.11 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 17.9968 | − | 17.9968i | 0.795354 | − | 0.795354i | −0.187005 | − | 0.982359i | \(-0.559878\pi\) |
0.982359 | + | 0.187005i | \(0.0598780\pi\) | |||||||
\(3\) | −30.9190 | + | 74.6450i | −0.220384 | + | 0.532053i | −0.994942 | − | 0.100449i | \(-0.967972\pi\) |
0.774559 | + | 0.632502i | \(0.217972\pi\) | |||||||
\(4\) | − | 135.770i | − | 0.265177i | ||||||
\(5\) | 723.808 | + | 299.811i | 0.517915 | + | 0.214527i | 0.626301 | − | 0.779582i | \(-0.284568\pi\) |
−0.108386 | + | 0.994109i | \(0.534568\pi\) | |||||||
\(6\) | 786.929 | + | 1899.81i | 0.247888 | + | 0.598454i | ||||
\(7\) | 5306.77 | − | 2198.13i | 0.835389 | − | 0.346029i | 0.0763552 | − | 0.997081i | \(-0.475672\pi\) |
0.759034 | + | 0.651051i | \(0.225672\pi\) | |||||||
\(8\) | 6770.93 | + | 6770.93i | 0.584445 | + | 0.584445i | ||||
\(9\) | 9302.09 | + | 9302.09i | 0.472595 | + | 0.472595i | ||||
\(10\) | 18421.9 | − | 7630.59i | 0.582551 | − | 0.241300i | ||||
\(11\) | 992.353 | + | 2395.75i | 0.0204362 | + | 0.0493372i | 0.933768 | − | 0.357878i | \(-0.116500\pi\) |
−0.913332 | + | 0.407216i | \(0.866500\pi\) | |||||||
\(12\) | 10134.6 | + | 4197.88i | 0.141088 | + | 0.0584406i | ||||
\(13\) | − | 108940.i | − | 1.05790i | −0.848654 | − | 0.528949i | \(-0.822586\pi\) | ||
0.848654 | − | 0.528949i | \(-0.177414\pi\) | |||||||
\(14\) | 55945.5 | − | 135064.i | 0.389214 | − | 0.939646i | ||||
\(15\) | −44758.8 | + | 44758.8i | −0.228280 | + | 0.228280i | ||||
\(16\) | 313225. | 1.19486 | ||||||||
\(17\) | −49428.2 | + | 340800.i | −0.143534 | + | 0.989645i | ||||
\(18\) | 334816. | 0.751761 | ||||||||
\(19\) | −67635.2 | + | 67635.2i | −0.119064 | + | 0.119064i | −0.764128 | − | 0.645064i | \(-0.776831\pi\) |
0.645064 | + | 0.764128i | \(0.276831\pi\) | |||||||
\(20\) | 40705.5 | − | 98271.7i | 0.0568876 | − | 0.137339i | ||||
\(21\) | 464088.i | 0.520731i | ||||||||
\(22\) | 60975.1 | + | 25256.7i | 0.0554946 | + | 0.0229866i | ||||
\(23\) | 35562.3 | + | 85855.1i | 0.0264981 | + | 0.0639721i | 0.936575 | − | 0.350468i | \(-0.113977\pi\) |
−0.910077 | + | 0.414440i | \(0.863977\pi\) | |||||||
\(24\) | −714767. | + | 296066.i | −0.439758 | + | 0.182154i | ||||
\(25\) | −947057. | − | 947057.i | −0.484893 | − | 0.484893i | ||||
\(26\) | −1.96058e6 | − | 1.96058e6i | −0.841403 | − | 0.841403i | ||||
\(27\) | −2.45120e6 | + | 1.01532e6i | −0.887651 | + | 0.367677i | ||||
\(28\) | −298442. | − | 720502.i | −0.0917589 | − | 0.221526i | ||||
\(29\) | −2.69221e6 | − | 1.11515e6i | −0.706834 | − | 0.292780i | 0.000160047 | − | 1.00000i | \(-0.499949\pi\) |
−0.706994 | + | 0.707220i | \(0.749949\pi\) | |||||||
\(30\) | 1.61103e6i | 0.363127i | ||||||||
\(31\) | −834349. | + | 2.01430e6i | −0.162263 | + | 0.391738i | −0.984010 | − | 0.178115i | \(-0.943000\pi\) |
0.821746 | + | 0.569853i | \(0.193000\pi\) | |||||||
\(32\) | 2.17033e6 | − | 2.17033e6i | 0.365890 | − | 0.365890i | ||||
\(33\) | −209513. | −0.0307538 | ||||||||
\(34\) | 5.24377e6 | + | 7.02286e6i | 0.672958 | + | 0.901279i | ||||
\(35\) | 4.50010e6 | 0.506893 | ||||||||
\(36\) | 1.26295e6 | − | 1.26295e6i | 0.125321 | − | 0.125321i | ||||
\(37\) | 4.20614e6 | − | 1.01545e7i | 0.368957 | − | 0.890741i | −0.624965 | − | 0.780653i | \(-0.714887\pi\) |
0.993922 | − | 0.110088i | \(-0.0351134\pi\) | |||||||
\(38\) | 2.43444e6i | 0.189397i | ||||||||
\(39\) | 8.13185e6 | + | 3.36832e6i | 0.562858 | + | 0.233143i | ||||
\(40\) | 2.87085e6 | + | 6.93086e6i | 0.177313 | + | 0.428072i | ||||
\(41\) | 1.02771e7 | − | 4.25693e6i | 0.567996 | − | 0.235271i | −0.0801567 | − | 0.996782i | \(-0.525542\pi\) |
0.648152 | + | 0.761511i | \(0.275542\pi\) | |||||||
\(42\) | 8.35210e6 | + | 8.35210e6i | 0.414165 | + | 0.414165i | ||||
\(43\) | −8.53406e6 | − | 8.53406e6i | −0.380669 | − | 0.380669i | 0.490674 | − | 0.871343i | \(-0.336751\pi\) |
−0.871343 | + | 0.490674i | \(0.836751\pi\) | |||||||
\(44\) | 325272. | − | 134732.i | 0.0130831 | − | 0.00541919i | ||||
\(45\) | 3.94406e6 | + | 9.52180e6i | 0.143379 | + | 0.346149i | ||||
\(46\) | 2.18513e6 | + | 905109.i | 0.0719559 | + | 0.0298051i | ||||
\(47\) | − | 5.88161e7i | − | 1.75815i | −0.476684 | − | 0.879075i | \(-0.658161\pi\) | ||
0.476684 | − | 0.879075i | \(-0.341839\pi\) | |||||||
\(48\) | −9.68459e6 | + | 2.33807e7i | −0.263327 | + | 0.635728i | ||||
\(49\) | −5.20434e6 | + | 5.20434e6i | −0.128968 | + | 0.128968i | ||||
\(50\) | −3.40880e7 | −0.771323 | ||||||||
\(51\) | −2.39108e7 | − | 1.42268e7i | −0.494911 | − | 0.294469i | ||||
\(52\) | −1.47909e7 | −0.280530 | ||||||||
\(53\) | 1.31051e7 | − | 1.31051e7i | 0.228139 | − | 0.228139i | −0.583776 | − | 0.811915i | \(-0.698425\pi\) |
0.811915 | + | 0.583776i | \(0.198425\pi\) | |||||||
\(54\) | −2.58413e7 | + | 6.23864e7i | −0.413563 | + | 0.998431i | ||||
\(55\) | 2.03158e6i | 0.0299366i | ||||||||
\(56\) | 5.08152e7 | + | 2.10483e7i | 0.690474 | + | 0.286004i | ||||
\(57\) | −2.95742e6 | − | 7.13984e6i | −0.0371087 | − | 0.0895883i | ||||
\(58\) | −6.85202e7 | + | 2.83820e7i | −0.795047 | + | 0.329319i | ||||
\(59\) | −6.73109e7 | − | 6.73109e7i | −0.723189 | − | 0.723189i | 0.246065 | − | 0.969253i | \(-0.420862\pi\) |
−0.969253 | + | 0.246065i | \(0.920862\pi\) | |||||||
\(60\) | 6.07692e6 | + | 6.07692e6i | 0.0605345 | + | 0.0605345i | ||||
\(61\) | 4.19344e7 | − | 1.73698e7i | 0.387780 | − | 0.160624i | −0.180271 | − | 0.983617i | \(-0.557697\pi\) |
0.568051 | + | 0.822993i | \(0.307697\pi\) | |||||||
\(62\) | 2.12353e7 | + | 5.12666e7i | 0.182514 | + | 0.440627i | ||||
\(63\) | 6.98113e7 | + | 2.89168e7i | 0.558333 | + | 0.231269i | ||||
\(64\) | 8.22531e7i | 0.612833i | ||||||||
\(65\) | 3.26615e7 | − | 7.88519e7i | 0.226948 | − | 0.547901i | ||||
\(66\) | −3.77057e6 | + | 3.77057e6i | −0.0244602 | + | 0.0244602i | ||||
\(67\) | −2.09338e8 | −1.26915 | −0.634574 | − | 0.772862i | \(-0.718824\pi\) | ||||
−0.634574 | + | 0.772862i | \(0.718824\pi\) | |||||||
\(68\) | 4.62706e7 | + | 6.71088e6i | 0.262431 | + | 0.0380618i | ||||
\(69\) | −7.50820e6 | −0.0398763 | ||||||||
\(70\) | 8.09875e7 | − | 8.09875e7i | 0.403160 | − | 0.403160i | ||||
\(71\) | 7.85924e7 | − | 1.89739e8i | 0.367044 | − | 0.886123i | −0.627188 | − | 0.778868i | \(-0.715794\pi\) |
0.994232 | − | 0.107254i | \(-0.0342060\pi\) | |||||||
\(72\) | 1.25968e8i | 0.552412i | ||||||||
\(73\) | 1.07592e8 | + | 4.45659e7i | 0.443431 | + | 0.183675i | 0.593216 | − | 0.805044i | \(-0.297858\pi\) |
−0.149785 | + | 0.988719i | \(0.547858\pi\) | |||||||
\(74\) | −1.07052e8 | − | 2.58446e8i | −0.415003 | − | 1.00191i | ||||
\(75\) | 9.99751e7 | − | 4.14110e7i | 0.364851 | − | 0.151126i | ||||
\(76\) | 9.18286e6 | + | 9.18286e6i | 0.0315731 | + | 0.0315731i | ||||
\(77\) | 1.05324e7 | + | 1.05324e7i | 0.0341443 | + | 0.0341443i | ||||
\(78\) | 2.06966e8 | − | 8.57283e7i | 0.633103 | − | 0.262240i | ||||
\(79\) | 1.49467e8 | + | 3.60845e8i | 0.431741 | + | 1.04231i | 0.978726 | + | 0.205172i | \(0.0657754\pi\) |
−0.546985 | + | 0.837142i | \(0.684225\pi\) | |||||||
\(80\) | 2.26715e8 | + | 9.39083e7i | 0.618835 | + | 0.256330i | ||||
\(81\) | 4.45700e7i | 0.115043i | ||||||||
\(82\) | 1.08345e8 | − | 2.61567e8i | 0.264633 | − | 0.638882i | ||||
\(83\) | −1.98863e8 | + | 1.98863e8i | −0.459941 | + | 0.459941i | −0.898636 | − | 0.438695i | \(-0.855441\pi\) |
0.438695 | + | 0.898636i | \(0.355441\pi\) | |||||||
\(84\) | 6.30093e7 | 0.138086 | ||||||||
\(85\) | −1.37952e8 | + | 2.31855e8i | −0.286644 | + | 0.481760i | ||||
\(86\) | −3.07172e8 | −0.605534 | ||||||||
\(87\) | 1.66480e8 | − | 1.66480e8i | 0.311549 | − | 0.311549i | ||||
\(88\) | −9.50232e6 | + | 2.29406e7i | −0.0168911 | + | 0.0407787i | ||||
\(89\) | 9.72872e8i | 1.64362i | 0.569763 | + | 0.821809i | \(0.307035\pi\) | ||||
−0.569763 | + | 0.821809i | \(0.692965\pi\) | |||||||
\(90\) | 2.42342e8 | + | 1.00382e8i | 0.389348 | + | 0.161273i | ||||
\(91\) | −2.39465e8 | − | 5.78121e8i | −0.366064 | − | 0.883756i | ||||
\(92\) | 1.16566e7 | − | 4.82831e6i | 0.0169639 | − | 0.00702668i | ||||
\(93\) | −1.24560e8 | − | 1.24560e8i | −0.172665 | − | 0.172665i | ||||
\(94\) | −1.05850e9 | − | 1.05850e9i | −1.39835 | − | 1.39835i | ||||
\(95\) | −6.92327e7 | + | 2.86771e7i | −0.0872077 | + | 0.0361226i | ||||
\(96\) | 9.48999e7 | + | 2.29109e8i | 0.114037 | + | 0.275309i | ||||
\(97\) | −1.18185e9 | − | 4.89538e8i | −1.35547 | − | 0.561454i | −0.417659 | − | 0.908604i | \(-0.637149\pi\) |
−0.937810 | + | 0.347150i | \(0.887149\pi\) | |||||||
\(98\) | 1.87323e8i | 0.205151i | ||||||||
\(99\) | −1.30545e7 | + | 3.15165e7i | −0.0136585 | + | 0.0329746i | ||||
\(100\) | −1.28582e8 | + | 1.28582e8i | −0.128582 | + | 0.128582i | ||||
\(101\) | 8.97078e7 | 0.0857796 | 0.0428898 | − | 0.999080i | \(-0.486344\pi\) | ||||
0.0428898 | + | 0.999080i | \(0.486344\pi\) | |||||||
\(102\) | −6.86354e8 | + | 1.74281e8i | −0.627837 | + | 0.159423i | ||||
\(103\) | −1.43613e9 | −1.25726 | −0.628630 | − | 0.777705i | \(-0.716384\pi\) | ||||
−0.628630 | + | 0.777705i | \(0.716384\pi\) | |||||||
\(104\) | 7.37628e8 | − | 7.37628e8i | 0.618283 | − | 0.618283i | ||||
\(105\) | −1.39139e8 | + | 3.35910e8i | −0.111711 | + | 0.269694i | ||||
\(106\) | − | 4.71701e8i | − | 0.362903i | ||||||
\(107\) | 2.04503e9 | + | 8.47080e8i | 1.50825 | + | 0.624737i | 0.975196 | − | 0.221344i | \(-0.0710444\pi\) |
0.533054 | + | 0.846081i | \(0.321044\pi\) | |||||||
\(108\) | 1.37851e8 | + | 3.32801e8i | 0.0974994 | + | 0.235384i | ||||
\(109\) | 1.77706e9 | − | 7.36084e8i | 1.20582 | − | 0.499468i | 0.312947 | − | 0.949771i | \(-0.398684\pi\) |
0.892876 | + | 0.450302i | \(0.148684\pi\) | |||||||
\(110\) | 3.65620e7 | + | 3.65620e7i | 0.0238102 | + | 0.0238102i | ||||
\(111\) | 6.27934e8 | + | 6.27934e8i | 0.392610 | + | 0.392610i | ||||
\(112\) | 1.66221e9 | − | 6.88510e8i | 0.998171 | − | 0.413456i | ||||
\(113\) | 1.10047e9 | + | 2.65678e9i | 0.634932 | + | 1.53286i | 0.833352 | + | 0.552743i | \(0.186419\pi\) |
−0.198420 | + | 0.980117i | \(0.563581\pi\) | |||||||
\(114\) | −1.81718e8 | − | 7.52702e7i | −0.100769 | − | 0.0417399i | ||||
\(115\) | 7.28046e7i | 0.0388167i | ||||||||
\(116\) | −1.51404e8 | + | 3.65522e8i | −0.0776384 | + | 0.187436i | ||||
\(117\) | 1.01337e9 | − | 1.01337e9i | 0.499957 | − | 0.499957i | ||||
\(118\) | −2.42276e9 | −1.15038 | ||||||||
\(119\) | 4.86821e8 | + | 1.91720e9i | 0.222540 | + | 0.876406i | ||||
\(120\) | −6.06118e8 | −0.266834 | ||||||||
\(121\) | 1.66257e9 | − | 1.66257e9i | 0.705090 | − | 0.705090i | ||||
\(122\) | 4.42084e8 | − | 1.06729e9i | 0.180670 | − | 0.436175i | ||||
\(123\) | 8.98757e8i | 0.354054i | ||||||||
\(124\) | 2.73482e8 | + | 1.13280e8i | 0.103880 | + | 0.0430284i | ||||
\(125\) | −9.87118e8 | − | 2.38311e9i | −0.361638 | − | 0.873071i | ||||
\(126\) | 1.77679e9 | − | 7.35970e8i | 0.628013 | − | 0.260131i | ||||
\(127\) | −3.36229e9 | − | 3.36229e9i | −1.14688 | − | 1.14688i | −0.987163 | − | 0.159718i | \(-0.948941\pi\) |
−0.159718 | − | 0.987163i | \(-0.551059\pi\) | |||||||
\(128\) | 2.59150e9 | + | 2.59150e9i | 0.853310 | + | 0.853310i | ||||
\(129\) | 9.00889e8 | − | 3.73161e8i | 0.286430 | − | 0.118643i | ||||
\(130\) | −8.31279e8 | − | 2.00688e9i | −0.255271 | − | 0.616279i | ||||
\(131\) | −3.07772e9 | − | 1.27483e9i | −0.913080 | − | 0.378210i | −0.123845 | − | 0.992302i | \(-0.539523\pi\) |
−0.789235 | + | 0.614092i | \(0.789523\pi\) | |||||||
\(132\) | 2.84457e7i | 0.00815519i | ||||||||
\(133\) | −2.10253e8 | + | 5.07595e8i | −0.0582652 | + | 0.140665i | ||||
\(134\) | −3.76742e9 | + | 3.76742e9i | −1.00942 | + | 1.00942i | ||||
\(135\) | −2.07860e9 | −0.538604 | ||||||||
\(136\) | −2.64221e9 | + | 1.97286e9i | −0.662281 | + | 0.494506i | ||||
\(137\) | 3.02387e8 | 0.0733366 | 0.0366683 | − | 0.999327i | \(-0.488326\pi\) | ||||
0.0366683 | + | 0.999327i | \(0.488326\pi\) | |||||||
\(138\) | −1.35124e8 | + | 1.35124e8i | −0.0317158 | + | 0.0317158i | ||||
\(139\) | −1.67307e9 | + | 4.03915e9i | −0.380143 | + | 0.917747i | 0.611794 | + | 0.791017i | \(0.290448\pi\) |
−0.991937 | + | 0.126730i | \(0.959552\pi\) | |||||||
\(140\) | − | 6.10981e8i | − | 0.134416i | ||||||
\(141\) | 4.39033e9 | + | 1.81853e9i | 0.935429 | + | 0.387467i | ||||
\(142\) | −2.00028e9 | − | 4.82911e9i | −0.412851 | − | 0.996711i | ||||
\(143\) | 2.60994e8 | − | 1.08107e8i | 0.0521937 | − | 0.0216193i | ||||
\(144\) | 2.91365e9 | + | 2.91365e9i | 0.564684 | + | 0.564684i | ||||
\(145\) | −1.61431e9 | − | 1.61431e9i | −0.303270 | − | 0.303270i | ||||
\(146\) | 2.73835e9 | − | 1.13426e9i | 0.498771 | − | 0.206598i | ||||
\(147\) | −2.27565e8 | − | 5.49391e8i | −0.0401955 | − | 0.0970405i | ||||
\(148\) | −1.37868e9 | − | 5.71069e8i | −0.236204 | − | 0.0978388i | ||||
\(149\) | 4.14348e9i | 0.688696i | 0.938842 | + | 0.344348i | \(0.111900\pi\) | ||||
−0.938842 | + | 0.344348i | \(0.888100\pi\) | |||||||
\(150\) | 1.05397e9 | − | 2.54450e9i | 0.169987 | − | 0.410385i | ||||
\(151\) | −1.77550e9 | + | 1.77550e9i | −0.277923 | + | 0.277923i | −0.832279 | − | 0.554356i | \(-0.812964\pi\) |
0.554356 | + | 0.832279i | \(0.312964\pi\) | |||||||
\(152\) | −9.15907e8 | −0.139173 | ||||||||
\(153\) | −3.62994e9 | + | 2.71037e9i | −0.535535 | + | 0.399868i | ||||
\(154\) | 3.79098e8 | 0.0543136 | ||||||||
\(155\) | −1.20782e9 | + | 1.20782e9i | −0.168077 | + | 0.168077i | ||||
\(156\) | 4.57318e8 | − | 1.10406e9i | 0.0618241 | − | 0.149257i | ||||
\(157\) | − | 1.22353e10i | − | 1.60719i | −0.595177 | − | 0.803594i | \(-0.702918\pi\) | ||
0.595177 | − | 0.803594i | \(-0.297082\pi\) | |||||||
\(158\) | 9.18398e9 | + | 3.80413e9i | 1.17240 | + | 0.485622i | ||||
\(159\) | 5.73035e8 | + | 1.38343e9i | 0.0711040 | + | 0.171660i | ||||
\(160\) | 2.22159e9 | − | 9.20213e8i | 0.267994 | − | 0.111007i | ||||
\(161\) | 3.77442e8 | + | 3.77442e8i | 0.0442725 | + | 0.0442725i | ||||
\(162\) | 8.02117e8 | + | 8.02117e8i | 0.0914998 | + | 0.0914998i | ||||
\(163\) | 1.75318e9 | − | 7.26191e8i | 0.194528 | − | 0.0805762i | −0.283293 | − | 0.959033i | \(-0.591427\pi\) |
0.477821 | + | 0.878457i | \(0.341427\pi\) | |||||||
\(164\) | −5.77965e8 | − | 1.39533e9i | −0.0623885 | − | 0.150619i | ||||
\(165\) | −1.51647e8 | − | 6.28144e7i | −0.0159279 | − | 0.00659754i | ||||
\(166\) | 7.15779e9i | 0.731632i | ||||||||
\(167\) | 3.67442e9 | − | 8.87084e9i | 0.365565 | − | 0.882553i | −0.628900 | − | 0.777486i | \(-0.716494\pi\) |
0.994465 | − | 0.105067i | \(-0.0335056\pi\) | |||||||
\(168\) | −3.14231e9 | + | 3.14231e9i | −0.304338 | + | 0.304338i | ||||
\(169\) | −1.26349e9 | −0.119147 | ||||||||
\(170\) | 1.68995e9 | + | 6.65534e9i | 0.155186 | + | 0.611154i | ||||
\(171\) | −1.25830e9 | −0.112538 | ||||||||
\(172\) | −1.15867e9 | + | 1.15867e9i | −0.100945 | + | 0.100945i | ||||
\(173\) | 7.11789e9 | − | 1.71841e10i | 0.604149 | − | 1.45854i | −0.265125 | − | 0.964214i | \(-0.585413\pi\) |
0.869274 | − | 0.494331i | \(-0.164587\pi\) | |||||||
\(174\) | − | 5.99223e9i | − | 0.495584i | ||||||
\(175\) | −7.10757e9 | − | 2.94405e9i | −0.572862 | − | 0.237287i | ||||
\(176\) | 3.10830e8 | + | 7.50409e8i | 0.0244183 | + | 0.0589510i | ||||
\(177\) | 7.10561e9 | − | 2.94324e9i | 0.544154 | − | 0.225396i | ||||
\(178\) | 1.75086e10 | + | 1.75086e10i | 1.30726 | + | 1.30726i | ||||
\(179\) | 6.11560e8 | + | 6.11560e8i | 0.0445247 | + | 0.0445247i | 0.729019 | − | 0.684494i | \(-0.239977\pi\) |
−0.684494 | + | 0.729019i | \(0.739977\pi\) | |||||||
\(180\) | 1.29278e9 | − | 5.35486e8i | 0.0917905 | − | 0.0380209i | ||||
\(181\) | 5.21259e9 | + | 1.25843e10i | 0.360994 | + | 0.871516i | 0.995155 | + | 0.0983156i | \(0.0313455\pi\) |
−0.634161 | + | 0.773201i | \(0.718655\pi\) | |||||||
\(182\) | −1.47139e10 | − | 6.09471e9i | −0.994049 | − | 0.411749i | ||||
\(183\) | 3.66725e9i | 0.241719i | ||||||||
\(184\) | −3.40529e8 | + | 8.22109e8i | −0.0219015 | + | 0.0528749i | ||||
\(185\) | 6.08887e9 | − | 6.08887e9i | 0.382177 | − | 0.382177i | ||||
\(186\) | −4.48337e9 | −0.274660 | ||||||||
\(187\) | −8.65523e8 | + | 2.19776e8i | −0.0517596 | + | 0.0131430i | ||||
\(188\) | −7.98548e9 | −0.466220 | ||||||||
\(189\) | −1.07761e10 | + | 1.07761e10i | −0.614307 | + | 0.614307i | ||||
\(190\) | −7.29871e8 | + | 1.76206e9i | −0.0406307 | + | 0.0980913i | ||||
\(191\) | − | 1.73416e10i | − | 0.942844i | −0.881908 | − | 0.471422i | \(-0.843741\pi\) | ||
0.881908 | − | 0.471422i | \(-0.156259\pi\) | |||||||
\(192\) | −6.13978e9 | − | 2.54318e9i | −0.326060 | − | 0.135058i | ||||
\(193\) | 8.71191e9 | + | 2.10324e10i | 0.451966 | + | 1.09114i | 0.971574 | + | 0.236737i | \(0.0760780\pi\) |
−0.519608 | + | 0.854405i | \(0.673922\pi\) | |||||||
\(194\) | −3.00797e10 | + | 1.24594e10i | −1.52463 | + | 0.631523i | ||||
\(195\) | 4.87604e9 | + | 4.87604e9i | 0.241497 | + | 0.241497i | ||||
\(196\) | 7.06595e8 | + | 7.06595e8i | 0.0341994 | + | 0.0341994i | ||||
\(197\) | 1.61643e10 | − | 6.69549e9i | 0.764645 | − | 0.316726i | 0.0339440 | − | 0.999424i | \(-0.489193\pi\) |
0.730701 | + | 0.682697i | \(0.239193\pi\) | |||||||
\(198\) | 3.32256e8 | + | 8.02136e8i | 0.0153631 | + | 0.0370898i | ||||
\(199\) | −2.58758e10 | − | 1.07181e10i | −1.16965 | − | 0.484483i | −0.288570 | − | 0.957459i | \(-0.593180\pi\) |
−0.881075 | + | 0.472976i | \(0.843180\pi\) | |||||||
\(200\) | − | 1.28249e10i | − | 0.566787i | ||||||
\(201\) | 6.47253e9 | − | 1.56261e10i | 0.279699 | − | 0.675254i | ||||
\(202\) | 1.61445e9 | − | 1.61445e9i | 0.0682252 | − | 0.0682252i | ||||
\(203\) | −1.67381e10 | −0.691792 | ||||||||
\(204\) | −1.93157e9 | + | 3.24637e9i | −0.0780863 | + | 0.131239i | ||||
\(205\) | 8.71495e9 | 0.344645 | ||||||||
\(206\) | −2.58457e10 | + | 2.58457e10i | −0.999966 | + | 0.999966i | ||||
\(207\) | −4.67828e8 | + | 1.12944e9i | −0.0177100 | + | 0.0427558i | ||||
\(208\) | − | 3.41228e10i | − | 1.26404i | ||||||
\(209\) | −2.29155e8 | − | 9.49192e7i | −0.00830752 | − | 0.00344109i | ||||
\(210\) | 3.54126e9 | + | 8.54936e9i | 0.125653 | + | 0.303352i | ||||
\(211\) | −3.18357e10 | + | 1.31868e10i | −1.10572 | + | 0.458003i | −0.859460 | − | 0.511202i | \(-0.829200\pi\) |
−0.246256 | + | 0.969205i | \(0.579200\pi\) | |||||||
\(212\) | −1.77929e9 | − | 1.77929e9i | −0.0604972 | − | 0.0604972i | ||||
\(213\) | 1.17331e10 | + | 1.17331e10i | 0.390574 | + | 0.390574i | ||||
\(214\) | 5.20488e10 | − | 2.15593e10i | 1.69648 | − | 0.702705i | ||||
\(215\) | −3.61842e9 | − | 8.73563e9i | −0.115490 | − | 0.278818i | ||||
\(216\) | −2.34716e10 | − | 9.72226e9i | −0.733670 | − | 0.303896i | ||||
\(217\) | 1.25234e10i | 0.383402i | ||||||||
\(218\) | 1.87343e10 | − | 4.52286e10i | 0.561802 | − | 1.35631i | ||||
\(219\) | −6.65325e9 | + | 6.65325e9i | −0.195450 | + | 0.195450i | ||||
\(220\) | 2.75829e8 | 0.00793848 | ||||||||
\(221\) | 3.71269e10 | + | 5.38472e9i | 1.04694 | + | 0.151844i | ||||
\(222\) | 2.26016e10 | 0.624527 | ||||||||
\(223\) | −3.91078e10 | + | 3.91078e10i | −1.05899 | + | 1.05899i | −0.0608404 | + | 0.998148i | \(0.519378\pi\) |
−0.998148 | + | 0.0608404i | \(0.980622\pi\) | |||||||
\(224\) | 6.74676e9 | − | 1.62881e10i | 0.179052 | − | 0.432270i | ||||
\(225\) | − | 1.76192e10i | − | 0.458316i | ||||||
\(226\) | 6.76186e10 | + | 2.80085e10i | 1.72416 | + | 0.714171i | ||||
\(227\) | 1.91727e10 | + | 4.62870e10i | 0.479255 | + | 1.15702i | 0.959959 | + | 0.280141i | \(0.0903814\pi\) |
−0.480703 | + | 0.876883i | \(0.659619\pi\) | |||||||
\(228\) | −9.69379e8 | + | 4.01530e8i | −0.0237567 | + | 0.00984036i | ||||
\(229\) | 5.11775e10 | + | 5.11775e10i | 1.22976 | + | 1.22976i | 0.964056 | + | 0.265701i | \(0.0856033\pi\) |
0.265701 | + | 0.964056i | \(0.414397\pi\) | |||||||
\(230\) | 1.31025e9 | + | 1.31025e9i | 0.0308730 | + | 0.0308730i | ||||
\(231\) | −1.11184e9 | + | 4.60539e8i | −0.0256914 | + | 0.0106417i | ||||
\(232\) | −1.06781e10 | − | 2.57793e10i | −0.241991 | − | 0.584219i | ||||
\(233\) | 4.12045e10 | + | 1.70675e10i | 0.915890 | + | 0.379374i | 0.790309 | − | 0.612709i | \(-0.209920\pi\) |
0.125582 | + | 0.992083i | \(0.459920\pi\) | |||||||
\(234\) | − | 3.64749e10i | − | 0.795286i | ||||||
\(235\) | 1.76337e10 | − | 4.25716e10i | 0.377171 | − | 0.910572i | ||||
\(236\) | −9.13883e9 | + | 9.13883e9i | −0.191773 | + | 0.191773i | ||||
\(237\) | −3.15566e10 | −0.649715 | ||||||||
\(238\) | 4.32646e10 | + | 2.57422e10i | 0.874051 | + | 0.520055i | ||||
\(239\) | −6.46746e10 | −1.28216 | −0.641081 | − | 0.767473i | \(-0.721514\pi\) | ||||
−0.641081 | + | 0.767473i | \(0.721514\pi\) | |||||||
\(240\) | −1.40196e10 | + | 1.40196e10i | −0.272762 | + | 0.272762i | ||||
\(241\) | −2.67036e9 | + | 6.44682e9i | −0.0509909 | + | 0.123103i | −0.947322 | − | 0.320282i | \(-0.896222\pi\) |
0.896331 | + | 0.443385i | \(0.146222\pi\) | |||||||
\(242\) | − | 5.98418e10i | − | 1.12159i | ||||||
\(243\) | −5.15740e10 | − | 2.13626e10i | −0.948860 | − | 0.393031i | ||||
\(244\) | −2.35830e9 | − | 5.69344e9i | −0.0425937 | − | 0.102830i | ||||
\(245\) | −5.32726e9 | + | 2.20662e9i | −0.0944619 | + | 0.0391274i | ||||
\(246\) | 1.61748e10 | + | 1.61748e10i | 0.281598 | + | 0.281598i | ||||
\(247\) | 7.36820e9 | + | 7.36820e9i | 0.125958 | + | 0.125958i | ||||
\(248\) | −1.92880e10 | + | 7.98935e9i | −0.323783 | + | 0.134115i | ||||
\(249\) | −8.69548e9 | − | 2.09927e10i | −0.143350 | − | 0.346077i | ||||
\(250\) | −6.06534e10 | − | 2.51235e10i | −0.982031 | − | 0.406770i | ||||
\(251\) | 4.27892e10i | 0.680460i | 0.940342 | + | 0.340230i | \(0.110505\pi\) | ||||
−0.940342 | + | 0.340230i | \(0.889495\pi\) | |||||||
\(252\) | 3.92604e9 | − | 9.47830e9i | 0.0613271 | − | 0.148057i | ||||
\(253\) | −1.70397e8 | + | 1.70397e8i | −0.00261469 | + | 0.00261469i | ||||
\(254\) | −1.21021e11 | −1.82435 | ||||||||
\(255\) | −1.30415e10 | − | 1.74661e10i | −0.193150 | − | 0.258682i | ||||
\(256\) | 5.11640e10 | 0.744534 | ||||||||
\(257\) | −2.02385e10 | + | 2.02385e10i | −0.289387 | + | 0.289387i | −0.836838 | − | 0.547451i | \(-0.815598\pi\) |
0.547451 | + | 0.836838i | \(0.315598\pi\) | |||||||
\(258\) | 9.49744e9 | − | 2.29288e10i | 0.133450 | − | 0.322176i | ||||
\(259\) | − | 6.31333e10i | − | 0.871786i | ||||||
\(260\) | −1.07057e10 | − | 4.43447e9i | −0.145290 | − | 0.0601813i | ||||
\(261\) | −1.46699e10 | − | 3.54163e10i | −0.195680 | − | 0.472413i | ||||
\(262\) | −7.83322e10 | + | 3.24462e10i | −1.02703 | + | 0.425411i | ||||
\(263\) | 8.12031e10 | + | 8.12031e10i | 1.04658 | + | 1.04658i | 0.998861 | + | 0.0477174i | \(0.0151947\pi\) |
0.0477174 | + | 0.998861i | \(0.484805\pi\) | |||||||
\(264\) | −1.41860e9 | − | 1.41860e9i | −0.0179739 | − | 0.0179739i | ||||
\(265\) | 1.34147e10 | − | 5.55653e9i | 0.167099 | − | 0.0692146i | ||||
\(266\) | 5.35122e9 | + | 1.29190e10i | 0.0655368 | + | 0.158220i | ||||
\(267\) | −7.26201e10 | − | 3.00802e10i | −0.874492 | − | 0.362226i | ||||
\(268\) | 2.84219e10i | 0.336548i | ||||||||
\(269\) | 3.18504e10 | − | 7.68937e10i | 0.370877 | − | 0.895376i | −0.622726 | − | 0.782440i | \(-0.713975\pi\) |
0.993602 | − | 0.112935i | \(-0.0360253\pi\) | |||||||
\(270\) | −3.74083e10 | + | 3.74083e10i | −0.428381 | + | 0.428381i | ||||
\(271\) | 2.33646e10 | 0.263146 | 0.131573 | − | 0.991307i | \(-0.457997\pi\) | ||||
0.131573 | + | 0.991307i | \(0.457997\pi\) | |||||||
\(272\) | −1.54821e10 | + | 1.06747e11i | −0.171503 | + | 1.18249i | ||||
\(273\) | 5.05578e10 | 0.550879 | ||||||||
\(274\) | 5.44200e9 | − | 5.44200e9i | 0.0583285 | − | 0.0583285i | ||||
\(275\) | 1.32910e9 | − | 3.20873e9i | 0.0140139 | − | 0.0338326i | ||||
\(276\) | 1.01939e9i | 0.0105743i | ||||||||
\(277\) | 1.17836e11 | + | 4.88092e10i | 1.20259 | + | 0.498130i | 0.891836 | − | 0.452359i | \(-0.149417\pi\) |
0.310757 | + | 0.950489i | \(0.399417\pi\) | |||||||
\(278\) | 4.25819e10 | + | 1.02802e11i | 0.427585 | + | 1.03228i | ||||
\(279\) | −2.64984e10 | + | 1.09760e10i | −0.261818 | + | 0.108449i | ||||
\(280\) | 3.04699e10 | + | 3.04699e10i | 0.296251 | + | 0.296251i | ||||
\(281\) | −3.28616e10 | − | 3.28616e10i | −0.314420 | − | 0.314420i | 0.532199 | − | 0.846619i | \(-0.321366\pi\) |
−0.846619 | + | 0.532199i | \(0.821366\pi\) | |||||||
\(282\) | 1.11740e11 | − | 4.62841e10i | 1.05217 | − | 0.435824i | ||||
\(283\) | 1.60474e10 | + | 3.87419e10i | 0.148719 | + | 0.359039i | 0.980630 | − | 0.195870i | \(-0.0627531\pi\) |
−0.831911 | + | 0.554909i | \(0.812753\pi\) | |||||||
\(284\) | −2.57609e10 | − | 1.06705e10i | −0.234979 | − | 0.0973315i | ||||
\(285\) | − | 6.05454e9i | − | 0.0543600i | ||||||
\(286\) | 2.75147e9 | − | 6.64264e9i | 0.0243175 | − | 0.0587075i | ||||
\(287\) | 4.51811e10 | − | 4.51811e10i | 0.393086 | − | 0.393086i | ||||
\(288\) | 4.03772e10 | 0.345836 | ||||||||
\(289\) | −1.13702e11 | − | 3.36903e10i | −0.958796 | − | 0.284095i | ||||
\(290\) | −5.81047e10 | −0.482415 | ||||||||
\(291\) | 7.30832e10 | − | 7.30832e10i | 0.597446 | − | 0.597446i | ||||
\(292\) | 6.05073e9 | − | 1.46078e10i | 0.0487063 | − | 0.117587i | ||||
\(293\) | − | 1.45256e11i | − | 1.15141i | −0.817658 | − | 0.575705i | \(-0.804728\pi\) | ||
0.817658 | − | 0.575705i | \(-0.195272\pi\) | |||||||
\(294\) | −1.39827e10 | − | 5.79183e9i | −0.109151 | − | 0.0452119i | ||||
\(295\) | −2.85396e10 | − | 6.89007e10i | −0.219406 | − | 0.529694i | ||||
\(296\) | 9.72351e10 | − | 4.02761e10i | 0.736224 | − | 0.304954i | ||||
\(297\) | −4.86492e9 | − | 4.86492e9i | −0.0362803 | − | 0.0362803i | ||||
\(298\) | 7.45695e10 | + | 7.45695e10i | 0.547757 | + | 0.547757i | ||||
\(299\) | 9.35308e9 | − | 3.87417e9i | 0.0676759 | − | 0.0280323i | ||||
\(300\) | −5.62239e9 | − | 1.35737e10i | −0.0400752 | − | 0.0967500i | ||||
\(301\) | −6.40473e10 | − | 2.65293e10i | −0.449730 | − | 0.186284i | ||||
\(302\) | 6.39067e10i | 0.442095i | ||||||||
\(303\) | −2.77367e9 | + | 6.69624e9i | −0.0189044 | + | 0.0456393i | ||||
\(304\) | −2.11850e10 | + | 2.11850e10i | −0.142265 | + | 0.142265i | ||||
\(305\) | 3.55601e10 | 0.235295 | ||||||||
\(306\) | −1.65493e10 | + | 1.14105e11i | −0.107903 | + | 0.743977i | ||||
\(307\) | −1.59150e11 | −1.02255 | −0.511275 | − | 0.859417i | \(-0.670827\pi\) | ||||
−0.511275 | + | 0.859417i | \(0.670827\pi\) | |||||||
\(308\) | 1.42998e9 | − | 1.42998e9i | 0.00905426 | − | 0.00905426i | ||||
\(309\) | 4.44035e10 | − | 1.07200e11i | 0.277079 | − | 0.668929i | ||||
\(310\) | 4.34737e10i | 0.267362i | ||||||||
\(311\) | 5.95397e10 | + | 2.46622e10i | 0.360899 | + | 0.149489i | 0.555762 | − | 0.831341i | \(-0.312426\pi\) |
−0.194864 | + | 0.980830i | \(0.562426\pi\) | |||||||
\(312\) | 3.22535e10 | + | 7.78669e10i | 0.192700 | + | 0.465219i | ||||
\(313\) | 1.35521e11 | − | 5.61348e10i | 0.798102 | − | 0.330584i | 0.0539057 | − | 0.998546i | \(-0.482833\pi\) |
0.744196 | + | 0.667962i | \(0.232833\pi\) | |||||||
\(314\) | −2.20197e11 | − | 2.20197e11i | −1.27828 | − | 1.27828i | ||||
\(315\) | 4.18604e10 | + | 4.18604e10i | 0.239555 | + | 0.239555i | ||||
\(316\) | 4.89920e10 | − | 2.02932e10i | 0.276397 | − | 0.114487i | ||||
\(317\) | 1.03220e11 | + | 2.49194e11i | 0.574110 | + | 1.38603i | 0.898027 | + | 0.439940i | \(0.145000\pi\) |
−0.323917 | + | 0.946086i | \(0.605000\pi\) | |||||||
\(318\) | 3.52101e10 | + | 1.45845e10i | 0.193084 | + | 0.0799779i | ||||
\(319\) | − | 7.55648e9i | − | 0.0408565i | ||||||
\(320\) | −2.46604e10 | + | 5.95354e10i | −0.131469 | + | 0.317395i | ||||
\(321\) | −1.26461e11 | + | 1.26461e11i | −0.664787 | + | 0.664787i | ||||
\(322\) | 1.35855e10 | 0.0704246 | ||||||||
\(323\) | −1.97070e10 | − | 2.63932e10i | −0.100742 | − | 0.134921i | ||||
\(324\) | 6.05128e9 | 0.0305067 | ||||||||
\(325\) | −1.03173e11 | + | 1.03173e11i | −0.512967 | + | 0.512967i | ||||
\(326\) | 1.84825e10 | − | 4.46208e10i | 0.0906321 | − | 0.218805i | ||||
\(327\) | 1.55408e11i | 0.751637i | ||||||||
\(328\) | 9.84092e10 | + | 4.07624e10i | 0.469465 | + | 0.194459i | ||||
\(329\) | −1.29286e11 | − | 3.12123e11i | −0.608372 | − | 1.46874i | ||||
\(330\) | −3.85963e9 | + | 1.59871e9i | −0.0179157 | + | 0.00742091i | ||||
\(331\) | −4.83018e10 | − | 4.83018e10i | −0.221175 | − | 0.221175i | 0.587818 | − | 0.808993i | \(-0.299987\pi\) |
−0.808993 | + | 0.587818i | \(0.799987\pi\) | |||||||
\(332\) | 2.69997e10 | + | 2.69997e10i | 0.121966 | + | 0.121966i | ||||
\(333\) | 1.33584e11 | − | 5.53324e10i | 0.595327 | − | 0.246593i | ||||
\(334\) | −9.35190e10 | − | 2.25775e11i | −0.411188 | − | 0.992696i | ||||
\(335\) | −1.51521e11 | − | 6.27619e10i | −0.657310 | − | 0.272267i | ||||
\(336\) | 1.45364e11i | 0.622199i | ||||||||
\(337\) | −1.27264e11 | + | 3.07241e11i | −0.537489 | + | 1.29761i | 0.388982 | + | 0.921246i | \(0.372827\pi\) |
−0.926470 | + | 0.376368i | \(0.877173\pi\) | |||||||
\(338\) | −2.27388e10 | + | 2.27388e10i | −0.0947638 | + | 0.0947638i | ||||
\(339\) | −2.32341e11 | −0.955492 | ||||||||
\(340\) | 3.14790e10 | + | 1.87298e10i | 0.127751 | + | 0.0760113i | ||||
\(341\) | −5.65373e9 | −0.0226433 | ||||||||
\(342\) | −2.26453e10 | + | 2.26453e10i | −0.0895079 | + | 0.0895079i | ||||
\(343\) | −1.04881e11 | + | 2.53205e11i | −0.409141 | + | 0.987755i | ||||
\(344\) | − | 1.15567e11i | − | 0.444960i | ||||||
\(345\) | −5.43450e9 | − | 2.25104e9i | −0.0206525 | − | 0.00855456i | ||||
\(346\) | −1.81160e11 | − | 4.37359e11i | −0.679547 | − | 1.64057i | ||||
\(347\) | 4.54077e11 | − | 1.88085e11i | 1.68131 | − | 0.696420i | 0.681919 | − | 0.731427i | \(-0.261145\pi\) |
0.999387 | + | 0.0350075i | \(0.0111455\pi\) | |||||||
\(348\) | −2.26031e10 | − | 2.26031e10i | −0.0826155 | − | 0.0826155i | ||||
\(349\) | −2.61028e11 | − | 2.61028e11i | −0.941832 | − | 0.941832i | 0.0565669 | − | 0.998399i | \(-0.481985\pi\) |
−0.998399 | + | 0.0565669i | \(0.981985\pi\) | |||||||
\(350\) | −1.80897e11 | + | 7.49300e10i | −0.644355 | + | 0.266901i | ||||
\(351\) | 1.10609e11 | + | 2.67035e11i | 0.388965 | + | 0.939044i | ||||
\(352\) | 7.35331e9 | + | 3.04584e9i | 0.0255294 | + | 0.0105746i | ||||
\(353\) | 6.87046e10i | 0.235505i | 0.993043 | + | 0.117752i | \(0.0375689\pi\) | ||||
−0.993043 | + | 0.117752i | \(0.962431\pi\) | |||||||
\(354\) | 7.49094e10 | − | 1.80847e11i | 0.253525 | − | 0.612064i | ||||
\(355\) | 1.13772e11 | − | 1.13772e11i | 0.380195 | − | 0.380195i | ||||
\(356\) | 1.32087e11 | 0.435849 | ||||||||
\(357\) | −1.58161e11 | − | 2.29390e10i | −0.515339 | − | 0.0747425i | ||||
\(358\) | 2.20123e10 | 0.0708258 | ||||||||
\(359\) | 2.01838e11 | − | 2.01838e11i | 0.641325 | − | 0.641325i | −0.309556 | − | 0.950881i | \(-0.600180\pi\) |
0.950881 | + | 0.309556i | \(0.100180\pi\) | |||||||
\(360\) | −3.77665e10 | + | 9.11764e10i | −0.118507 | + | 0.286102i | ||||
\(361\) | 3.13539e11i | 0.971647i | ||||||||
\(362\) | 3.20287e11 | + | 1.32667e11i | 0.980282 | + | 0.406046i | ||||
\(363\) | 7.26974e10 | + | 1.75507e11i | 0.219755 | + | 0.530536i | ||||
\(364\) | −7.84917e10 | + | 3.25123e10i | −0.234351 | + | 0.0970715i | ||||
\(365\) | 6.45143e10 | + | 6.45143e10i | 0.190256 | + | 0.190256i | ||||
\(366\) | 6.59987e10 | + | 6.59987e10i | 0.192252 | + | 0.192252i | ||||
\(367\) | 1.48959e11 | − | 6.17008e10i | 0.428617 | − | 0.177539i | −0.157937 | − | 0.987449i | \(-0.550484\pi\) |
0.586554 | + | 0.809910i | \(0.300484\pi\) | |||||||
\(368\) | 1.11390e10 | + | 2.68919e10i | 0.0316615 | + | 0.0764376i | ||||
\(369\) | 1.35197e11 | + | 5.60005e10i | 0.379620 | + | 0.157244i | ||||
\(370\) | − | 2.19161e11i | − | 0.607932i | ||||||
\(371\) | 4.07390e10 | − | 9.83527e10i | 0.111642 | − | 0.269528i | ||||
\(372\) | −1.69116e10 | + | 1.69116e10i | −0.0457868 | + | 0.0457868i | ||||
\(373\) | 1.20896e10 | 0.0323388 | 0.0161694 | − | 0.999869i | \(-0.494853\pi\) | ||||
0.0161694 | + | 0.999869i | \(0.494853\pi\) | |||||||
\(374\) | −1.16214e10 | + | 1.95319e10i | −0.0307139 | + | 0.0516206i | ||||
\(375\) | 2.08408e11 | 0.544219 | ||||||||
\(376\) | 3.98240e11 | − | 3.98240e11i | 1.02754 | − | 1.02754i | ||||
\(377\) | −1.21485e11 | + | 2.93290e11i | −0.309731 | + | 0.747757i | ||||
\(378\) | 3.87873e11i | 0.977183i | ||||||||
\(379\) | −3.11000e11 | − | 1.28820e11i | −0.774254 | − | 0.320707i | −0.0396600 | − | 0.999213i | \(-0.512627\pi\) |
−0.734594 | + | 0.678507i | \(0.762627\pi\) | |||||||
\(380\) | 3.89350e9 | + | 9.39975e9i | 0.00957887 | + | 0.0231254i | ||||
\(381\) | 3.54937e11 | − | 1.47020e11i | 0.862956 | − | 0.357448i | ||||
\(382\) | −3.12094e11 | − | 3.12094e11i | −0.749895 | − | 0.749895i | ||||
\(383\) | 1.95748e11 | + | 1.95748e11i | 0.464840 | + | 0.464840i | 0.900238 | − | 0.435398i | \(-0.143392\pi\) |
−0.435398 | + | 0.900238i | \(0.643392\pi\) | |||||||
\(384\) | −2.73569e11 | + | 1.13316e11i | −0.642062 | + | 0.265951i | ||||
\(385\) | 4.46569e9 | + | 1.07811e10i | 0.0103589 | + | 0.0250087i | ||||
\(386\) | 5.35303e11 | + | 2.21730e11i | 1.22732 | + | 0.508371i | ||||
\(387\) | − | 1.58769e11i | − | 0.359805i | ||||||
\(388\) | −6.64648e10 | + | 1.60460e11i | −0.148884 | + | 0.359439i | ||||
\(389\) | 1.11941e11 | − | 1.11941e11i | 0.247866 | − | 0.247866i | −0.572228 | − | 0.820094i | \(-0.693921\pi\) |
0.820094 | + | 0.572228i | \(0.193921\pi\) | |||||||
\(390\) | 1.75506e11 | 0.384151 | ||||||||
\(391\) | −3.10172e10 | + | 7.87599e9i | −0.0671131 | + | 0.0170416i | ||||
\(392\) | −7.04764e10 | −0.150750 | ||||||||
\(393\) | 1.90320e11 | − | 1.90320e11i | 0.402456 | − | 0.402456i | ||||
\(394\) | 1.70409e11 | − | 4.11404e11i | 0.356254 | − | 0.860074i | ||||
\(395\) | 3.05994e11i | 0.632450i | ||||||||
\(396\) | 4.27900e9 | + | 1.77242e9i | 0.00874408 | + | 0.00362192i | ||||
\(397\) | 1.04553e11 | + | 2.52413e11i | 0.211241 | + | 0.509982i | 0.993615 | − | 0.112828i | \(-0.0359910\pi\) |
−0.782373 | + | 0.622810i | \(0.785991\pi\) | |||||||
\(398\) | −6.58573e11 | + | 2.72790e11i | −1.31562 | + | 0.544947i | ||||
\(399\) | −3.13886e10 | − | 3.13886e10i | −0.0620004 | − | 0.0620004i | ||||
\(400\) | −2.96642e11 | − | 2.96642e11i | −0.579378 | − | 0.579378i | ||||
\(401\) | −8.51169e11 | + | 3.52566e11i | −1.64386 | + | 0.680911i | −0.996680 | − | 0.0814226i | \(-0.974054\pi\) |
−0.647184 | + | 0.762333i | \(0.724054\pi\) | |||||||
\(402\) | −1.64734e11 | − | 3.97704e11i | −0.314606 | − | 0.759526i | ||||
\(403\) | 2.19438e11 | + | 9.08943e10i | 0.414419 | + | 0.171658i | ||||
\(404\) | − | 1.21797e10i | − | 0.0227467i | ||||||
\(405\) | −1.33626e10 | + | 3.22601e10i | −0.0246798 | + | 0.0595824i | ||||
\(406\) | −3.01233e11 | + | 3.01233e11i | −0.550219 | + | 0.550219i | ||||
\(407\) | 2.85017e10 | 0.0514868 | ||||||||
\(408\) | −6.55697e10 | − | 2.58227e11i | −0.117147 | − | 0.461350i | ||||
\(409\) | −8.51756e11 | −1.50508 | −0.752541 | − | 0.658545i | \(-0.771172\pi\) | ||||
−0.752541 | + | 0.658545i | \(0.771172\pi\) | |||||||
\(410\) | 1.56841e11 | − | 1.56841e11i | 0.274115 | − | 0.274115i | ||||
\(411\) | −9.34949e9 | + | 2.25717e10i | −0.0161622 | + | 0.0390189i | ||||
\(412\) | 1.94983e11i | 0.333396i | ||||||||
\(413\) | −5.05162e11 | − | 2.09245e11i | −0.854388 | − | 0.353899i | ||||
\(414\) | 1.19068e10 | + | 2.87456e10i | 0.0199203 | + | 0.0480917i | ||||
\(415\) | −2.03560e11 | + | 8.43172e10i | −0.336880 | + | 0.139540i | ||||
\(416\) | −2.36436e11 | − | 2.36436e11i | −0.387074 | − | 0.387074i | ||||
\(417\) | −2.49773e11 | − | 2.49773e11i | −0.404513 | − | 0.404513i | ||||
\(418\) | −5.83230e9 | + | 2.41582e9i | −0.00934430 | + | 0.00387054i | ||||
\(419\) | 6.92759e10 | + | 1.67247e11i | 0.109804 | + | 0.265091i | 0.969224 | − | 0.246179i | \(-0.0791752\pi\) |
−0.859420 | + | 0.511270i | \(0.829175\pi\) | |||||||
\(420\) | 4.56067e10 | + | 1.88909e10i | 0.0715165 | + | 0.0296231i | ||||
\(421\) | − | 4.26322e11i | − | 0.661406i | −0.943735 | − | 0.330703i | \(-0.892714\pi\) | ||
0.943735 | − | 0.330703i | \(-0.107286\pi\) | |||||||
\(422\) | −3.35621e11 | + | 8.10262e11i | −0.515162 | + | 1.24371i | ||||
\(423\) | 5.47113e11 | − | 5.47113e11i | 0.830893 | − | 0.830893i | ||||
\(424\) | 1.77468e11 | 0.266670 | ||||||||
\(425\) | 3.69568e11 | − | 2.75946e11i | 0.549471 | − | 0.410274i | ||||
\(426\) | 4.22315e11 | 0.621289 | ||||||||
\(427\) | 1.84355e11 | − | 1.84355e11i | 0.268367 | − | 0.268367i | ||||
\(428\) | 1.15008e11 | − | 2.77655e11i | 0.165666 | − | 0.399952i | ||||
\(429\) | 2.28245e10i | 0.0325344i | ||||||||
\(430\) | −2.22333e11 | − | 9.20935e10i | −0.313615 | − | 0.129904i | ||||
\(431\) | 1.27320e10 | + | 3.07378e10i | 0.0177725 | + | 0.0429067i | 0.932517 | − | 0.361127i | \(-0.117608\pi\) |
−0.914744 | + | 0.404034i | \(0.867608\pi\) | |||||||
\(432\) | −7.67778e11 | + | 3.18024e11i | −1.06062 | + | 0.439322i | ||||
\(433\) | 6.04122e11 | + | 6.04122e11i | 0.825904 | + | 0.825904i | 0.986947 | − | 0.161044i | \(-0.0514860\pi\) |
−0.161044 | + | 0.986947i | \(0.551486\pi\) | |||||||
\(434\) | 2.25382e11 | + | 2.25382e11i | 0.304940 | + | 0.304940i | ||||
\(435\) | 1.70413e11 | − | 7.05872e10i | 0.228192 | − | 0.0945201i | ||||
\(436\) | −9.99384e10 | − | 2.41273e11i | −0.132447 | − | 0.319756i | ||||
\(437\) | −8.21209e9 | − | 3.40156e9i | −0.0107718 | − | 0.00446181i | ||||
\(438\) | 2.39474e11i | 0.310903i | ||||||||
\(439\) | −1.22952e11 | + | 2.96834e11i | −0.157996 | + | 0.381437i | −0.982978 | − | 0.183722i | \(-0.941185\pi\) |
0.824982 | + | 0.565159i | \(0.191185\pi\) | |||||||
\(440\) | −1.37557e10 | + | 1.37557e10i | −0.0174963 | + | 0.0174963i | ||||
\(441\) | −9.68224e10 | −0.121900 | ||||||||
\(442\) | 7.65073e11 | − | 5.71257e11i | 0.953460 | − | 0.711921i | ||||
\(443\) | 1.17716e12 | 1.45218 | 0.726089 | − | 0.687601i | \(-0.241336\pi\) | ||||
0.726089 | + | 0.687601i | \(0.241336\pi\) | |||||||
\(444\) | 8.52549e10 | − | 8.52549e10i | 0.104111 | − | 0.104111i | ||||
\(445\) | −2.91678e11 | + | 7.04173e11i | −0.352601 | + | 0.851254i | ||||
\(446\) | 1.40763e12i | 1.68454i | ||||||||
\(447\) | −3.09290e11 | − | 1.28112e11i | −0.366423 | − | 0.151777i | ||||
\(448\) | 1.80803e11 | + | 4.36498e11i | 0.212058 | + | 0.511954i | ||||
\(449\) | −3.84889e10 | + | 1.59426e10i | −0.0446918 | + | 0.0185119i | −0.404917 | − | 0.914353i | \(-0.632700\pi\) |
0.360226 | + | 0.932865i | \(0.382700\pi\) | |||||||
\(450\) | −3.17090e11 | − | 3.17090e11i | −0.364524 | − | 0.364524i | ||||
\(451\) | 2.03971e10 | + | 2.03971e10i | 0.0232153 | + | 0.0232153i | ||||
\(452\) | 3.60712e11 | − | 1.49412e11i | 0.406479 | − | 0.168369i | ||||
\(453\) | −7.76356e10 | − | 1.87429e11i | −0.0866202 | − | 0.209120i | ||||
\(454\) | 1.17807e12 | + | 4.87971e11i | 1.30142 | + | 0.539067i | ||||
\(455\) | − | 4.90243e11i | − | 0.536241i | ||||||
\(456\) | 2.83189e10 | − | 6.83678e10i | 0.0306715 | − | 0.0740474i | ||||
\(457\) | 6.76392e11 | − | 6.76392e11i | 0.725397 | − | 0.725397i | −0.244302 | − | 0.969699i | \(-0.578559\pi\) |
0.969699 | + | 0.244302i | \(0.0785590\pi\) | |||||||
\(458\) | 1.84206e12 | 1.95618 | ||||||||
\(459\) | −2.24863e11 | − | 8.85556e11i | −0.236462 | − | 0.931234i | ||||
\(460\) | 9.88471e9 | 0.0102933 | ||||||||
\(461\) | −1.02810e12 | + | 1.02810e12i | −1.06018 | + | 1.06018i | −0.0621115 | + | 0.998069i | \(0.519783\pi\) |
−0.998069 | + | 0.0621115i | \(0.980217\pi\) | |||||||
\(462\) | −1.17213e10 | + | 2.82978e10i | −0.0119698 | + | 0.0288977i | ||||
\(463\) | − | 3.76717e11i | − | 0.380978i | −0.981689 | − | 0.190489i | \(-0.938993\pi\) | ||
0.981689 | − | 0.190489i | \(-0.0610074\pi\) | |||||||
\(464\) | −8.43266e11 | − | 3.49292e11i | −0.844566 | − | 0.349831i | ||||
\(465\) | −5.28130e10 | − | 1.27502e11i | −0.0523845 | − | 0.126467i | ||||
\(466\) | 1.04871e12 | − | 4.34390e11i | 1.03019 | − | 0.426720i | ||||
\(467\) | −5.72661e11 | − | 5.72661e11i | −0.557150 | − | 0.557150i | 0.371345 | − | 0.928495i | \(-0.378897\pi\) |
−0.928495 | + | 0.371345i | \(0.878897\pi\) | |||||||
\(468\) | −1.37586e11 | − | 1.37586e11i | −0.132577 | − | 0.132577i | ||||
\(469\) | −1.11091e12 | + | 4.60154e11i | −1.06023 | + | 0.439162i | ||||
\(470\) | −4.48802e11 | − | 1.08350e12i | −0.424242 | − | 1.02421i | ||||
\(471\) | 9.13305e11 | + | 3.78303e11i | 0.855110 | + | 0.354198i | ||||
\(472\) | − | 9.11516e11i | − | 0.845328i | ||||||
\(473\) | 1.19767e10 | − | 2.89143e10i | 0.0110018 | − | 0.0265606i | ||||
\(474\) | −5.67919e11 | + | 5.67919e11i | −0.516754 | + | 0.516754i | ||||
\(475\) | 1.28109e11 | 0.115467 | ||||||||
\(476\) | 2.60298e11 | − | 6.60958e10i | 0.232402 | − | 0.0590123i | ||||
\(477\) | 2.43810e11 | 0.215635 | ||||||||
\(478\) | −1.16394e12 | + | 1.16394e12i | −1.01977 | + | 1.01977i | ||||
\(479\) | −1.02463e11 | + | 2.47369e11i | −0.0889322 | + | 0.214701i | −0.962088 | − | 0.272741i | \(-0.912070\pi\) |
0.873155 | + | 0.487442i | \(0.162070\pi\) | |||||||
\(480\) | 1.94283e11i | 0.167051i | ||||||||
\(481\) | −1.10624e12 | − | 4.58218e11i | −0.942313 | − | 0.390319i | ||||
\(482\) | 6.79642e10 | + | 1.64080e11i | 0.0573546 | + | 0.138466i | ||||
\(483\) | −3.98443e10 | + | 1.65040e10i | −0.0333122 | + | 0.0137984i | ||||
\(484\) | −2.25727e11 | − | 2.25727e11i | −0.186973 | − | 0.186973i | ||||
\(485\) | −7.08663e11 | − | 7.08663e11i | −0.581570 | − | 0.581570i | ||||
\(486\) | −1.31263e12 | + | 5.43707e11i | −1.06728 | + | 0.442081i | ||||
\(487\) | 3.41055e11 | + | 8.23380e11i | 0.274754 | + | 0.663315i | 0.999674 | − | 0.0255175i | \(-0.00812335\pi\) |
−0.724920 | + | 0.688833i | \(0.758123\pi\) | |||||||
\(488\) | 4.01544e11 | + | 1.66325e11i | 0.320512 | + | 0.132760i | ||||
\(489\) | 1.53319e11i | 0.121257i | ||||||||
\(490\) | −5.61615e10 | + | 1.35586e11i | −0.0440105 | + | 0.106251i | ||||
\(491\) | 1.07530e12 | − | 1.07530e12i | 0.834959 | − | 0.834959i | −0.153232 | − | 0.988190i | \(-0.548968\pi\) |
0.988190 | + | 0.153232i | \(0.0489681\pi\) | |||||||
\(492\) | 1.22025e11 | 0.0938868 | ||||||||
\(493\) | 5.13113e11 | − | 8.62384e11i | 0.391203 | − | 0.657491i | ||||
\(494\) | 2.65208e11 | 0.200362 | ||||||||
\(495\) | −1.88980e10 | + | 1.88980e10i | −0.0141479 | + | 0.0141479i | ||||
\(496\) | −2.61339e11 | + | 6.30928e11i | −0.193882 | + | 0.468072i | ||||
\(497\) | − | 1.17966e12i | − | 0.867265i | ||||||
\(498\) | −5.34293e11 | − | 2.21312e11i | −0.389267 | − | 0.161240i | ||||
\(499\) | 6.43615e11 | + | 1.55382e12i | 0.464701 | + | 1.12189i | 0.966445 | + | 0.256872i | \(0.0826919\pi\) |
−0.501744 | + | 0.865016i | \(0.667308\pi\) | |||||||
\(500\) | −3.23556e11 | + | 1.34021e11i | −0.231518 | + | 0.0958979i | ||||
\(501\) | 5.48555e11 | + | 5.48555e11i | 0.389000 | + | 0.389000i | ||||
\(502\) | 7.70070e11 | + | 7.70070e11i | 0.541207 | + | 0.541207i | ||||
\(503\) | −1.56183e12 | + | 6.46931e11i | −1.08787 | + | 0.450611i | −0.853264 | − | 0.521479i | \(-0.825381\pi\) |
−0.234608 | + | 0.972090i | \(0.575381\pi\) | |||||||
\(504\) | 2.76894e11 | + | 6.68481e11i | 0.191151 | + | 0.461479i | ||||
\(505\) | 6.49312e10 | + | 2.68954e10i | 0.0444265 | + | 0.0184021i | ||||
\(506\) | 6.13321e9i | 0.00415921i | ||||||||
\(507\) | 3.90658e10 | − | 9.43132e10i | 0.0262580 | − | 0.0633923i | ||||
\(508\) | −4.56499e11 | + | 4.56499e11i | −0.304126 | + | 0.304126i | ||||
\(509\) | −5.84673e11 | −0.386085 | −0.193043 | − | 0.981190i | \(-0.561836\pi\) | ||||
−0.193043 | + | 0.981190i | \(0.561836\pi\) | |||||||
\(510\) | −5.49040e11 | − | 7.96303e10i | −0.359367 | − | 0.0521210i | ||||
\(511\) | 6.68926e11 | 0.433994 | ||||||||
\(512\) | −4.06061e11 | + | 4.06061e11i | −0.261142 | + | 0.261142i | ||||
\(513\) | 9.71161e10 | − | 2.34459e11i | 0.0619103 | − | 0.149465i | ||||
\(514\) | 7.28456e11i | 0.460330i | ||||||||
\(515\) | −1.03948e12 | − | 4.30566e11i | −0.651153 | − | 0.269716i | ||||
\(516\) | −5.06642e10 | − | 1.22314e11i | −0.0314613 | − | 0.0759544i | ||||
\(517\) | 1.40909e11 | − | 5.83663e10i | 0.0867422 | − | 0.0359298i | ||||
\(518\) | −1.13620e12 | − | 1.13620e12i | −0.693378 | − | 0.693378i | ||||
\(519\) | 1.06263e12 | + | 1.06263e12i | 0.642879 | + | 0.642879i | ||||
\(520\) | 7.55050e11 | − | 3.12752e11i | 0.452856 | − | 0.187579i | ||||
\(521\) | −5.60234e11 | − | 1.35252e12i | −0.333119 | − | 0.804221i | −0.998341 | − | 0.0575754i | \(-0.981663\pi\) |
0.665222 | − | 0.746646i | \(-0.268337\pi\) | |||||||
\(522\) | −9.01393e11 | − | 3.73369e11i | −0.531370 | − | 0.220101i | ||||
\(523\) | 1.26928e12i | 0.741822i | 0.928668 | + | 0.370911i | \(0.120955\pi\) | ||||
−0.928668 | + | 0.370911i | \(0.879045\pi\) | |||||||
\(524\) | −1.73085e11 | + | 4.17864e11i | −0.100292 | + | 0.242127i | ||||
\(525\) | 4.39517e11 | − | 4.39517e11i | 0.252499 | − | 0.252499i | ||||
\(526\) | 2.92279e12 | 1.66480 | ||||||||
\(527\) | −6.45232e11 | − | 3.83909e11i | −0.364392 | − | 0.216811i | ||||
\(528\) | −6.56248e10 | −0.0367465 | ||||||||
\(529\) | 1.26750e12 | − | 1.26750e12i | 0.703716 | − | 0.703716i | ||||
\(530\) | 1.41421e11 | − | 3.41421e11i | 0.0778526 | − | 0.187953i | ||||
\(531\) | − | 1.25226e12i | − | 0.683551i | ||||||
\(532\) | 6.89164e10 | + | 2.85461e10i | 0.0373010 | + | 0.0154506i | ||||
\(533\) | −4.63751e11 | − | 1.11959e12i | −0.248893 | − | 0.600881i | ||||
\(534\) | −1.84828e12 | + | 7.65581e11i | −0.983629 | + | 0.407433i | ||||
\(535\) | 1.22625e12 | + | 1.22625e12i | 0.647121 | + | 0.647121i | ||||
\(536\) | −1.41742e12 | − | 1.41742e12i | −0.741747 | − | 0.741747i | ||||
\(537\) | −6.45587e10 | + | 2.67411e10i | −0.0335020 | + | 0.0138770i | ||||
\(538\) | −8.10635e11 | − | 1.95705e12i | −0.417162 | − | 1.00712i | ||||
\(539\) | −1.76328e10 | − | 7.30376e9i | −0.00899856 | − | 0.00372732i | ||||
\(540\) | 2.82213e11i | 0.142825i | ||||||||
\(541\) | −1.02244e12 | + | 2.46839e12i | −0.513158 | + | 1.23887i | 0.428879 | + | 0.903362i | \(0.358909\pi\) |
−0.942037 | + | 0.335510i | \(0.891091\pi\) | |||||||
\(542\) | 4.20488e11 | − | 4.20488e11i | 0.209294 | − | 0.209294i | ||||
\(543\) | −1.10052e12 | −0.543250 | ||||||||
\(544\) | 6.32373e11 | + | 8.46924e11i | 0.309584 | + | 0.414619i | ||||
\(545\) | 1.50694e12 | 0.731663 | ||||||||
\(546\) | 9.09880e11 | − | 9.09880e11i | 0.438144 | − | 0.438144i | ||||
\(547\) | 5.19582e11 | − | 1.25438e12i | 0.248148 | − | 0.599083i | −0.749899 | − | 0.661553i | \(-0.769898\pi\) |
0.998047 | + | 0.0624701i | \(0.0198978\pi\) | |||||||
\(548\) | − | 4.10552e10i | − | 0.0194471i | ||||||
\(549\) | 5.51652e11 | + | 2.28502e11i | 0.259173 | + | 0.107353i | ||||
\(550\) | −3.38273e10 | − | 8.16664e10i | −0.0157629 | − | 0.0380550i | ||||
\(551\) | 2.57511e11 | − | 1.06665e11i | 0.119018 | − | 0.0492990i | ||||
\(552\) | −5.08375e10 | − | 5.08375e10i | −0.0233055 | − | 0.0233055i | ||||
\(553\) | 1.58637e12 | + | 1.58637e12i | 0.721343 | + | 0.721343i | ||||
\(554\) | 2.99908e12 | − | 1.24226e12i | 1.35268 | − | 0.560297i | ||||
\(555\) | 2.66242e11 | + | 6.42766e11i | 0.119113 | + | 0.287564i | ||||
\(556\) | 5.48397e11 | + | 2.27153e11i | 0.243365 | + | 0.100805i | ||||
\(557\) | − | 2.10630e11i | − | 0.0927199i | −0.998925 | − | 0.0463599i | \(-0.985238\pi\) | ||
0.998925 | − | 0.0463599i | \(-0.0147621\pi\) | |||||||
\(558\) | −2.79353e11 | + | 6.74419e11i | −0.121983 | + | 0.294494i | ||||
\(559\) | −9.29703e11 | + | 9.29703e11i | −0.402709 | + | 0.402709i | ||||
\(560\) | 1.40954e12 | 0.605665 | ||||||||
\(561\) | 1.03559e10 | − | 7.14022e10i | 0.00441422 | − | 0.0304354i | ||||
\(562\) | −1.18281e12 | −0.500151 | ||||||||
\(563\) | 1.29784e12 | − | 1.29784e12i | 0.544418 | − | 0.544418i | −0.380403 | − | 0.924821i | \(-0.624215\pi\) |
0.924821 | + | 0.380403i | \(0.124215\pi\) | |||||||
\(564\) | 2.46903e11 | − | 5.96076e11i | 0.102747 | − | 0.248054i | ||||
\(565\) | 2.25293e12i | 0.930101i | ||||||||
\(566\) | 9.86032e11 | + | 4.08428e11i | 0.403847 | + | 0.167279i | ||||
\(567\) | 9.79708e10 | + | 2.36522e11i | 0.0398082 | + | 0.0961055i | ||||
\(568\) | 1.81685e12 | − | 7.52565e11i | 0.732407 | − | 0.303373i | ||||
\(569\) | 2.51282e12 | + | 2.51282e12i | 1.00498 | + | 1.00498i | 0.999988 | + | 0.00499102i | \(0.00158870\pi\) |
0.00499102 | + | 0.999988i | \(0.498411\pi\) | |||||||
\(570\) | −1.08962e11 | − | 1.08962e11i | −0.0432354 | − | 0.0432354i | ||||
\(571\) | −2.66365e12 | + | 1.10332e12i | −1.04861 | + | 0.434350i | −0.839396 | − | 0.543520i | \(-0.817091\pi\) |
−0.209217 | + | 0.977869i | \(0.567091\pi\) | |||||||
\(572\) | −1.46778e10 | − | 3.54353e10i | −0.00573294 | − | 0.0138406i | ||||
\(573\) | 1.29447e12 | + | 5.36185e11i | 0.501643 | + | 0.207787i | ||||
\(574\) | − | 1.62623e12i | − | 0.625286i | ||||||
\(575\) | 4.76301e10 | − | 1.14989e11i | 0.0181709 | − | 0.0438684i | ||||
\(576\) | −7.65125e11 | + | 7.65125e11i | −0.289622 | + | 0.289622i | ||||
\(577\) | −1.69258e12 | −0.635710 | −0.317855 | − | 0.948139i | \(-0.602963\pi\) | ||||
−0.317855 | + | 0.948139i | \(0.602963\pi\) | |||||||
\(578\) | −2.65258e12 | + | 1.43995e12i | −0.988539 | + | 0.536626i | ||||
\(579\) | −1.83933e12 | −0.680151 | ||||||||
\(580\) | −2.19175e11 | + | 2.19175e11i | −0.0804202 | + | 0.0804202i | ||||
\(581\) | −6.18191e11 | + | 1.49245e12i | −0.225077 | + | 0.543383i | ||||
\(582\) | − | 2.63053e12i | − | 0.950363i | ||||||
\(583\) | 4.44016e10 | + | 1.83917e10i | 0.0159180 | + | 0.00659347i | ||||
\(584\) | 4.26743e11 | + | 1.03025e12i | 0.151813 | + | 0.366509i | ||||
\(585\) | 1.03731e12 | − | 4.29667e11i | 0.366190 | − | 0.151681i | ||||
\(586\) | −2.61414e12 | − | 2.61414e12i | −0.915778 | − | 0.915778i | ||||
\(587\) | −8.07074e11 | − | 8.07074e11i | −0.280570 | − | 0.280570i | 0.552766 | − | 0.833336i | \(-0.313572\pi\) |
−0.833336 | + | 0.552766i | \(0.813572\pi\) | |||||||
\(588\) | −7.45910e10 | + | 3.08966e10i | −0.0257329 | + | 0.0106589i | ||||
\(589\) | −7.98060e10 | − | 1.92669e11i | −0.0273223 | − | 0.0659618i | ||||
\(590\) | −1.75362e12 | − | 7.26371e11i | −0.595800 | − | 0.246788i | ||||
\(591\) | 1.41360e12i | 0.476633i | ||||||||
\(592\) | 1.31747e12 | − | 3.18065e12i | 0.440851 | − | 1.06431i | ||||
\(593\) | −1.98187e12 | + | 1.98187e12i | −0.658157 | + | 0.658157i | −0.954944 | − | 0.296787i | \(-0.904085\pi\) |
0.296787 | + | 0.954944i | \(0.404085\pi\) | |||||||
\(594\) | −1.75106e11 | −0.0577115 | ||||||||
\(595\) | −2.22432e11 | + | 1.53364e12i | −0.0727563 | + | 0.501644i | ||||
\(596\) | 5.62562e11 | 0.182626 | ||||||||
\(597\) | 1.60010e12 | − | 1.60010e12i | 0.515542 | − | 0.515542i | ||||
\(598\) | 9.86028e10 | − | 2.38048e11i | 0.0315307 | − | 0.0761219i | ||||
\(599\) | 1.23194e12i | 0.390993i | 0.980704 | + | 0.195497i | \(0.0626318\pi\) | ||||
−0.980704 | + | 0.195497i | \(0.937368\pi\) | |||||||
\(600\) | 9.57316e11 | + | 3.96533e11i | 0.301561 | + | 0.124910i | ||||
\(601\) | −6.03708e11 | − | 1.45748e12i | −0.188752 | − | 0.455688i | 0.800968 | − | 0.598708i | \(-0.204319\pi\) |
−0.989720 | + | 0.143019i | \(0.954319\pi\) | |||||||
\(602\) | −1.63009e12 | + | 6.75205e11i | −0.505856 | + | 0.209533i | ||||
\(603\) | −1.94728e12 | − | 1.94728e12i | −0.599793 | − | 0.599793i | ||||
\(604\) | 2.41060e11 | + | 2.41060e11i | 0.0736987 | + | 0.0736987i | ||||
\(605\) | 1.70183e12 | − | 7.04923e11i | 0.516438 | − | 0.213916i | ||||
\(606\) | 7.05937e10 | + | 1.70428e11i | 0.0212637 | + | 0.0513351i | ||||
\(607\) | −5.72522e12 | − | 2.37147e12i | −1.71176 | − | 0.709035i | −0.999978 | − | 0.00663652i | \(-0.997888\pi\) |
−0.711784 | − | 0.702398i | \(-0.752112\pi\) | |||||||
\(608\) | 2.93581e11i | 0.0871289i | ||||||||
\(609\) | 5.17526e11 | − | 1.24942e12i | 0.152460 | − | 0.368070i | ||||
\(610\) | 6.39968e11 | − | 6.39968e11i | 0.187143 | − | 0.187143i | ||||
\(611\) | −6.40744e12 | −1.85994 | ||||||||
\(612\) | 3.67988e11 | + | 4.92838e11i | 0.106036 | + | 0.142011i | ||||
\(613\) | −6.17001e12 | −1.76487 | −0.882436 | − | 0.470432i | \(-0.844098\pi\) | ||||
−0.882436 | + | 0.470432i | \(0.844098\pi\) | |||||||
\(614\) | −2.86420e12 | + | 2.86420e12i | −0.813290 | + | 0.813290i | ||||
\(615\) | −2.69457e11 | + | 6.50527e11i | −0.0759542 | + | 0.183370i | ||||
\(616\) | 1.42628e11i | 0.0399109i | ||||||||
\(617\) | 4.85303e12 | + | 2.01019e12i | 1.34812 | + | 0.558411i | 0.935770 | − | 0.352612i | \(-0.114706\pi\) |
0.412355 | + | 0.911023i | \(0.364706\pi\) | |||||||
\(618\) | −1.13013e12 | − | 2.72837e12i | −0.311659 | − | 0.752412i | ||||
\(619\) | 3.56705e12 | − | 1.47752e12i | 0.976566 | − | 0.404507i | 0.163414 | − | 0.986558i | \(-0.447749\pi\) |
0.813153 | + | 0.582051i | \(0.197749\pi\) | |||||||
\(620\) | 1.63986e11 | + | 1.63986e11i | 0.0445701 | + | 0.0445701i | ||||
\(621\) | −1.74341e11 | − | 1.74341e11i | −0.0470422 | − | 0.0470422i | ||||
\(622\) | 1.51537e12 | − | 6.27685e11i | 0.405939 | − | 0.168145i | ||||
\(623\) | 2.13850e12 | + | 5.16281e12i | 0.568740 | + | 1.37306i | ||||
\(624\) | 2.54710e12 | + | 1.05504e12i | 0.672535 | + | 0.278573i | ||||
\(625\) | 5.95035e11i | 0.155985i | ||||||||
\(626\) | 1.42870e12 | − | 3.44920e12i | 0.371842 | − | 0.897705i | ||||
\(627\) | 1.41705e10 | − | 1.41705e10i | 0.00366168 | − | 0.00366168i | ||||
\(628\) | −1.66119e12 | −0.426189 | ||||||||
\(629\) | 3.25276e12 | + | 1.93537e12i | 0.828560 | + | 0.492988i | ||||
\(630\) | 1.50671e12 | 0.381063 | ||||||||
\(631\) | 9.86448e11 | − | 9.86448e11i | 0.247709 | − | 0.247709i | −0.572321 | − | 0.820030i | \(-0.693957\pi\) |
0.820030 | + | 0.572321i | \(0.193957\pi\) | |||||||
\(632\) | −1.43123e12 | + | 3.45529e12i | −0.356847 | + | 0.861504i | ||||
\(633\) | − | 2.78410e12i | − | 0.689236i | ||||||
\(634\) | 6.34232e12 | + | 2.62708e12i | 1.55900 | + | 0.645760i | ||||
\(635\) | −1.42560e12 | − | 3.44170e12i | −0.347949 | − | 0.840024i | ||||
\(636\) | 1.87829e11 | − | 7.78012e10i | 0.0455203 | − | 0.0188551i | ||||
\(637\) | 5.66962e11 | + | 5.66962e11i | 0.136435 | + | 0.136435i | ||||
\(638\) | −1.35992e11 | − | 1.35992e11i | −0.0324954 | − | 0.0324954i | ||||
\(639\) | 2.49604e12 | − | 1.03389e12i | 0.592241 | − | 0.245314i | ||||
\(640\) | 1.09879e12 | + | 2.65271e12i | 0.258883 | + | 0.625000i | ||||
\(641\) | −4.11529e11 | − | 1.70461e11i | −0.0962808 | − | 0.0398808i | 0.334023 | − | 0.942565i | \(-0.391594\pi\) |
−0.430304 | + | 0.902684i | \(0.641594\pi\) | |||||||
\(642\) | 4.55177e12i | 1.05748i | ||||||||
\(643\) | 7.82410e11 | − | 1.88891e12i | 0.180503 | − | 0.435774i | −0.807567 | − | 0.589776i | \(-0.799216\pi\) |
0.988071 | + | 0.154002i | \(0.0492162\pi\) | |||||||
\(644\) | 5.12455e10 | − | 5.12455e10i | 0.0117400 | − | 0.0117400i | ||||
\(645\) | 7.63949e11 | 0.173798 | ||||||||
\(646\) | −8.29656e11 | − | 1.20330e11i | −0.187435 | − | 0.0271848i | ||||
\(647\) | 5.07293e12 | 1.13812 | 0.569062 | − | 0.822295i | \(-0.307307\pi\) | ||||
0.569062 | + | 0.822295i | \(0.307307\pi\) | |||||||
\(648\) | −3.01780e11 | + | 3.01780e11i | −0.0672362 | + | 0.0672362i | ||||
\(649\) | 9.44641e10 | − | 2.28057e11i | 0.0209009 | − | 0.0504593i | ||||
\(650\) | 3.71356e12i | 0.815981i | ||||||||
\(651\) | −9.34810e11 | − | 3.87211e11i | −0.203990 | − | 0.0844955i | ||||
\(652\) | −9.85952e10 | − | 2.38030e11i | −0.0213669 | − | 0.0515843i | ||||
\(653\) | 5.84908e12 | − | 2.42277e12i | 1.25886 | − | 0.521438i | 0.349303 | − | 0.937010i | \(-0.386419\pi\) |
0.909560 | + | 0.415572i | \(0.136419\pi\) | |||||||
\(654\) | 2.79684e12 | + | 2.79684e12i | 0.597817 | + | 0.597817i | ||||
\(655\) | −1.84547e12 | − | 1.84547e12i | −0.391761 | − | 0.391761i | ||||
\(656\) | 3.21906e12 | − | 1.33338e12i | 0.678674 | − | 0.281116i | ||||
\(657\) | 5.86271e11 | + | 1.41538e12i | 0.122759 | + | 0.296367i | ||||
\(658\) | −7.94395e12 | − | 3.29049e12i | −1.65204 | − | 0.684297i | ||||
\(659\) | − | 3.82450e12i | − | 0.789934i | −0.918695 | − | 0.394967i | \(-0.870756\pi\) | ||
0.918695 | − | 0.394967i | \(-0.129244\pi\) | |||||||
\(660\) | −8.52834e9 | + | 2.05892e10i | −0.00174951 | + | 0.00422370i | ||||
\(661\) | 3.78748e12 | − | 3.78748e12i | 0.771692 | − | 0.771692i | −0.206710 | − | 0.978402i | \(-0.566276\pi\) |
0.978402 | + | 0.206710i | \(0.0662758\pi\) | |||||||
\(662\) | −1.73855e12 | −0.351826 | ||||||||
\(663\) | −1.54987e12 | + | 2.60484e12i | −0.311518 | + | 0.523565i | ||||
\(664\) | −2.69297e12 | −0.537620 | ||||||||
\(665\) | −3.04365e11 | + | 3.04365e11i | −0.0603529 | + | 0.0603529i | ||||
\(666\) | 1.40828e12 | − | 3.39989e12i | 0.277368 | − | 0.669625i | ||||
\(667\) | − | 2.70797e11i | − | 0.0529758i | ||||||
\(668\) | −1.20440e12 | − | 4.98878e11i | −0.234032 | − | 0.0969394i | ||||
\(669\) | −1.71003e12 | − | 4.12837e12i | −0.330054 | − | 0.796821i | ||||
\(670\) | −3.85641e12 | + | 1.59738e12i | −0.739343 | + | 0.306246i | ||||
\(671\) | 8.32274e10 | + | 8.32274e10i | 0.0158495 | + | 0.0158495i | ||||
\(672\) | 1.00722e12 | + | 1.00722e12i | 0.190530 | + | 0.190530i | ||||
\(673\) | 8.95634e12 | − | 3.70984e12i | 1.68292 | − | 0.697087i | 0.683459 | − | 0.729989i | \(-0.260475\pi\) |
0.999459 | + | 0.0329017i | \(0.0104748\pi\) | |||||||
\(674\) | 3.23903e12 | + | 7.81970e12i | 0.604568 | + | 1.45956i | ||||
\(675\) | 3.28300e12 | + | 1.35986e12i | 0.608700 | + | 0.252132i | ||||
\(676\) | 1.71545e11i | 0.0315949i | ||||||||
\(677\) | −1.84625e12 | + | 4.45724e12i | −0.337786 | + | 0.815488i | 0.660142 | + | 0.751141i | \(0.270496\pi\) |
−0.997928 | + | 0.0643465i | \(0.979504\pi\) | |||||||
\(678\) | −4.18139e12 | + | 4.18139e12i | −0.759954 | + | 0.759954i | ||||
\(679\) | −7.34787e12 | −1.32662 | ||||||||
\(680\) | −2.50394e12 | + | 6.35808e11i | −0.449090 | + | 0.114034i | ||||
\(681\) | −4.04789e12 | −0.721219 | ||||||||
\(682\) | −1.01749e11 | + | 1.01749e11i | −0.0180095 | + | 0.0180095i | ||||
\(683\) | 2.80822e12 | − | 6.77964e12i | 0.493785 | − | 1.19210i | −0.458994 | − | 0.888439i | \(-0.651790\pi\) |
0.952779 | − | 0.303663i | \(-0.0982098\pi\) | |||||||
\(684\) | 1.70840e11i | 0.0298425i | ||||||||
\(685\) | 2.18870e11 | + | 9.06590e10i | 0.0379821 | + | 0.0157327i | ||||
\(686\) | 2.66936e12 | + | 6.44441e12i | 0.460202 | + | 1.11103i | ||||
\(687\) | −5.40249e12 | + | 2.23779e12i | −0.925314 | + | 0.383278i | ||||
\(688\) | −2.67308e12 | − | 2.67308e12i | −0.454846 | − | 0.454846i | ||||
\(689\) | −1.42768e12 | − | 1.42768e12i | −0.241348 | − | 0.241348i | ||||
\(690\) | −1.38315e11 | + | 5.72920e10i | −0.0232300 | + | 0.00962218i | ||||
\(691\) | −2.90650e12 | − | 7.01690e12i | −0.484974 | − | 1.17083i | −0.957219 | − | 0.289364i | \(-0.906556\pi\) |
0.472245 | − | 0.881467i | \(-0.343444\pi\) | |||||||
\(692\) | −2.33309e12 | − | 9.66399e11i | −0.386772 | − | 0.160206i | ||||
\(693\) | 1.95946e11i | 0.0322728i | ||||||||
\(694\) | 4.78701e12 | − | 1.15569e13i | 0.783334 | − | 1.89113i | ||||
\(695\) | −2.42196e12 | + | 2.42196e12i | −0.393764 | + | 0.393764i | ||||
\(696\) | 2.25446e12 | 0.364167 | ||||||||
\(697\) | 9.42782e11 | + | 3.71286e12i | 0.151309 | + | 0.595884i | ||||
\(698\) | −9.39536e12 | −1.49818 | ||||||||
\(699\) | −2.54800e12 | + | 2.54800e12i | −0.403695 | + | 0.403695i | ||||
\(700\) | −3.99715e11 | + | 9.64997e11i | −0.0629230 | + | 0.151909i | ||||
\(701\) | − | 5.36973e12i | − | 0.839887i | −0.907550 | − | 0.419944i | \(-0.862050\pi\) | ||
0.907550 | − | 0.419944i | \(-0.137950\pi\) | |||||||
\(702\) | 6.79639e12 | + | 2.81516e12i | 1.05624 | + | 0.437508i | ||||
\(703\) | 4.02320e11 | + | 9.71286e11i | 0.0621259 | + | 0.149985i | ||||
\(704\) | −1.97058e11 | + | 8.16241e10i | −0.0302355 | + | 0.0125240i | ||||
\(705\) | 2.63254e12 | + | 2.63254e12i | 0.401350 | + | 0.401350i | ||||
\(706\) | 1.23646e12 | + | 1.23646e12i | 0.187310 | + | 0.187310i | ||||
\(707\) | 4.76058e11 | − | 1.97190e11i | 0.0716594 | − | 0.0296823i | ||||
\(708\) | −3.99605e11 | − | 9.64731e11i | −0.0597697 | − | 0.144297i | ||||
\(709\) | −6.48681e12 | − | 2.68693e12i | −0.964103 | − | 0.399344i | −0.155589 | − | 0.987822i | \(-0.549728\pi\) |
−0.808514 | + | 0.588477i | \(0.799728\pi\) | |||||||
\(710\) | − | 4.09505e12i | − | 0.604780i | ||||||
\(711\) | −1.96626e12 | + | 4.74697e12i | −0.288554 | + | 0.696631i | ||||
\(712\) | −6.58725e12 | + | 6.58725e12i | −0.960604 | + | 0.960604i | ||||
\(713\) | −2.02609e11 | −0.0293600 | ||||||||
\(714\) | −3.25922e12 | + | 2.43357e12i | −0.469323 | + | 0.350430i | ||||
\(715\) | 2.21321e11 | 0.0316698 | ||||||||
\(716\) | 8.30318e10 | − | 8.30318e10i | 0.0118069 | − | 0.0118069i | ||||
\(717\) | 1.99967e12 | − | 4.82763e12i | 0.282568 | − | 0.682179i | ||||
\(718\) | − | 7.26489e12i | − | 1.02016i | ||||||
\(719\) | 2.75925e12 | + | 1.14292e12i | 0.385044 | + | 0.159491i | 0.566805 | − | 0.823852i | \(-0.308179\pi\) |
−0.181760 | + | 0.983343i | \(0.558179\pi\) | |||||||
\(720\) | 1.23538e12 | + | 2.98246e12i | 0.171318 | + | 0.413598i | ||||
\(721\) | −7.62118e12 | + | 3.15680e12i | −1.05030 | + | 0.435049i | ||||
\(722\) | 5.64270e12 | + | 5.64270e12i | 0.772804 | + | 0.772804i | ||||
\(723\) | −3.98658e11 | − | 3.98658e11i | −0.0542598 | − | 0.0542598i | ||||
\(724\) | 1.70858e12 | − | 7.07715e11i | 0.231106 | − | 0.0957271i | ||||
\(725\) | 1.49356e12 | + | 3.60578e12i | 0.200772 | + | 0.484706i | ||||
\(726\) | 4.46689e12 | + | 1.85025e12i | 0.596747 | + | 0.247181i | ||||
\(727\) | 1.37734e13i | 1.82868i | 0.404950 | + | 0.914339i | \(0.367289\pi\) | ||||
−0.404950 | + | 0.914339i | \(0.632711\pi\) | |||||||
\(728\) | 2.29301e12 | − | 5.53582e12i | 0.302563 | − | 0.730451i | ||||
\(729\) | 2.56890e12 | − | 2.56890e12i | 0.336879 | − | 0.336879i | ||||
\(730\) | 2.32210e12 | 0.302642 | ||||||||
\(731\) | 3.33023e12 | − | 2.48659e12i | 0.431367 | − | 0.322089i | ||||
\(732\) | 4.97903e11 | 0.0640981 | ||||||||
\(733\) | 2.46022e10 | − | 2.46022e10i | 0.00314779 | − | 0.00314779i | −0.705531 | − | 0.708679i | \(-0.749291\pi\) |
0.708679 | + | 0.705531i | \(0.249291\pi\) | |||||||
\(734\) | 1.57037e12 | − | 3.79120e12i | 0.199696 | − | 0.482108i | ||||
\(735\) | − | 4.65880e11i | − | 0.0588818i | ||||||
\(736\) | 2.63516e11 | + | 1.09152e11i | 0.0331022 | + | 0.0137114i | ||||
\(737\) | −2.07738e11 | − | 5.01523e11i | −0.0259365 | − | 0.0626162i | ||||
\(738\) | 3.44095e12 | − | 1.42529e12i | 0.426997 | − | 0.176868i | ||||
\(739\) | 2.53429e12 | + | 2.53429e12i | 0.312577 | + | 0.312577i | 0.845907 | − | 0.533330i | \(-0.179060\pi\) |
−0.533330 | + | 0.845907i | \(0.679060\pi\) | |||||||
\(740\) | −8.26689e11 | − | 8.26689e11i | −0.101344 | − | 0.101344i | ||||
\(741\) | −7.77816e11 | + | 3.22182e11i | −0.0947753 | + | 0.0392572i | ||||
\(742\) | −1.03686e12 | − | 2.50321e12i | −0.125575 | − | 0.303165i | ||||
\(743\) | −6.58956e12 | − | 2.72949e12i | −0.793244 | − | 0.328572i | −0.0509969 | − | 0.998699i | \(-0.516240\pi\) |
−0.742247 | + | 0.670126i | \(0.766240\pi\) | |||||||
\(744\) | − | 1.68677e12i | − | 0.201827i | ||||||
\(745\) | −1.24226e12 | + | 2.99909e12i | −0.147744 | + | 0.356686i | ||||
\(746\) | 2.17575e11 | − | 2.17575e11i | 0.0257208 | − | 0.0257208i | ||||
\(747\) | −3.69968e12 | −0.434732 | ||||||||
\(748\) | 2.98391e10 | + | 1.17512e11i | 0.00348521 | + | 0.0137254i | ||||
\(749\) | 1.27145e13 | 1.47615 | ||||||||
\(750\) | 3.75068e12 | − | 3.75068e12i | 0.432847 | − | 0.432847i | ||||
\(751\) | −2.67180e12 | + | 6.45029e12i | −0.306495 | + | 0.739945i | 0.693318 | + | 0.720632i | \(0.256148\pi\) |
−0.999813 | + | 0.0193136i | \(0.993852\pi\) | |||||||
\(752\) | − | 1.84227e13i | − | 2.10074i | ||||||
\(753\) | −3.19400e12 | − | 1.32300e12i | −0.362041 | − | 0.149962i | ||||
\(754\) | 3.09194e12 | + | 7.46461e12i | 0.348386 | + | 0.841078i | ||||
\(755\) | −1.81744e12 | + | 7.52807e11i | −0.203563 | + | 0.0843184i | ||||
\(756\) | 1.46308e12 | + | 1.46308e12i | 0.162900 | + | 0.162900i | ||||
\(757\) | 5.06422e12 | + | 5.06422e12i | 0.560507 | + | 0.560507i | 0.929451 | − | 0.368944i | \(-0.120281\pi\) |
−0.368944 | + | 0.929451i | \(0.620281\pi\) | |||||||
\(758\) | −7.91536e12 | + | 3.27865e12i | −0.870882 | + | 0.360731i | ||||
\(759\) | −7.45079e9 | − | 1.79878e10i | −0.000814919 | − | 0.00196739i | ||||
\(760\) | −6.62941e11 | − | 2.74599e11i | −0.0720798 | − | 0.0298564i | ||||
\(761\) | − | 1.69932e12i | − | 0.183672i | −0.995774 | − | 0.0918360i | \(-0.970726\pi\) | ||
0.995774 | − | 0.0918360i | \(-0.0292736\pi\) | |||||||
\(762\) | 3.74184e12 | − | 9.03361e12i | 0.402058 | − | 0.970653i | ||||
\(763\) | 7.81245e12 | − | 7.81245e12i | 0.834501 | − | 0.834501i | ||||
\(764\) | −2.35448e12 | −0.250020 | ||||||||
\(765\) | −3.43998e12 | + | 8.73490e11i | −0.363144 | + | 0.0922108i | ||||
\(766\) | 7.04569e12 | 0.739425 | ||||||||
\(767\) | −7.33287e12 | + | 7.33287e12i | −0.765059 | + | 0.765059i | ||||
\(768\) | −1.58194e12 | + | 3.81913e12i | −0.164083 | + | 0.396132i | ||||
\(769\) | 5.97176e12i | 0.615791i | 0.951420 | + | 0.307896i | \(0.0996248\pi\) | ||||
−0.951420 | + | 0.307896i | \(0.900375\pi\) | |||||||
\(770\) | 2.74394e11 | + | 1.13658e11i | 0.0281298 | + | 0.0116517i | ||||
\(771\) | −8.84948e11 | − | 2.13645e12i | −0.0901931 | − | 0.217745i | ||||
\(772\) | 2.85558e12 | − | 1.18282e12i | 0.289345 | − | 0.119851i | ||||
\(773\) | 2.28680e12 | + | 2.28680e12i | 0.230367 | + | 0.230367i | 0.812846 | − | 0.582479i | \(-0.197917\pi\) |
−0.582479 | + | 0.812846i | \(0.697917\pi\) | |||||||
\(774\) | −2.85734e12 | − | 2.85734e12i | −0.286172 | − | 0.286172i | ||||
\(775\) | 2.69783e12 | − | 1.11748e12i | 0.268631 | − | 0.111271i | ||||
\(776\) | −4.68760e12 | − | 1.13169e13i | −0.464058 | − | 1.12034i | ||||
\(777\) | 4.71259e12 | + | 1.95202e12i | 0.463836 | + | 0.192127i | ||||
\(778\) | − | 4.02917e12i | − | 0.394283i | ||||||
\(779\) | −4.07178e11 | + | 9.83015e11i | −0.0396156 | + | 0.0956404i | ||||
\(780\) | 6.62021e11 | − | 6.62021e11i | 0.0640393 | − | 0.0640393i | ||||
\(781\) | 5.32559e11 | 0.0512198 | ||||||||
\(782\) | −4.16468e11 | + | 6.99953e11i | −0.0398246 | + | 0.0669328i | ||||
\(783\) | 7.73137e12 | 0.735070 | ||||||||
\(784\) | −1.63013e12 | + | 1.63013e12i | −0.154099 | + | 0.154099i | ||||
\(785\) | 3.66828e12 | − | 8.85602e12i | 0.344786 | − | 0.832387i | ||||
\(786\) | − | 6.85031e12i | − | 0.640190i | ||||||
\(787\) | −1.24477e13 | − | 5.15599e12i | −1.15665 | − | 0.479100i | −0.279891 | − | 0.960032i | \(-0.590298\pi\) |
−0.876758 | + | 0.480932i | \(0.840298\pi\) | |||||||
\(788\) | −9.09049e11 | − | 2.19464e12i | −0.0839884 | − | 0.202766i | ||||
\(789\) | −8.57212e12 | + | 3.55069e12i | −0.787484 | + | 0.326187i | ||||
\(790\) | 5.50692e12 | + | 5.50692e12i | 0.503022 | + | 0.503022i | ||||
\(791\) | 1.16799e13 | + | 1.16799e13i | 1.06083 | + | 1.06083i | ||||
\(792\) | −3.01787e11 | + | 1.25004e11i | −0.0272545 | + | 0.0112892i | ||||
\(793\) | −1.89227e12 | − | 4.56834e12i | −0.169924 | − | 0.410232i | ||||
\(794\) | 6.42425e12 | + | 2.66101e12i | 0.573628 | + | 0.237604i | ||||
\(795\) | 1.17314e12i | 0.104159i | ||||||||
\(796\) | −1.45520e12 | + | 3.51316e12i | −0.128474 | + | 0.310163i | ||||
\(797\) | −2.25602e12 | + | 2.25602e12i | −0.198053 | + | 0.198053i | −0.799165 | − | 0.601112i | \(-0.794724\pi\) |
0.601112 | + | 0.799165i | \(0.294724\pi\) | |||||||
\(798\) | −1.12979e12 | −0.0986246 | ||||||||
\(799\) | 2.00445e13 | + | 2.90717e12i | 1.73994 | + | 0.252354i | ||||
\(800\) | −4.11085e12 | −0.354835 | ||||||||
\(801\) | −9.04975e12 | + | 9.04975e12i | −0.776766 | + | 0.776766i | ||||
\(802\) | −8.97326e12 | + | 2.16634e13i | −0.765889 | + | 1.84902i | ||||
\(803\) | 3.01988e11i | 0.0256313i | ||||||||
\(804\) | −2.12156e12 | − | 8.78777e11i | −0.179062 | − | 0.0741697i | ||||
\(805\) | 1.60034e11 | + | 3.86357e11i | 0.0134317 | + | 0.0324270i | ||||
\(806\) | 5.58499e12 | − | 2.31338e12i | 0.466139 | − | 0.193081i | ||||
\(807\) | 4.75495e12 | + | 4.75495e12i | 0.394652 | + | 0.394652i | ||||
\(808\) | 6.07406e11 | + | 6.07406e11i | 0.0501335 | + | 0.0501335i | ||||
\(809\) | 5.45999e11 | − | 2.26160e11i | 0.0448150 | − | 0.0185630i | −0.360163 | − | 0.932889i | \(-0.617279\pi\) |
0.404978 | + | 0.914326i | \(0.367279\pi\) | |||||||
\(810\) | 3.40095e11 | + | 8.21062e11i | 0.0277599 | + | 0.0670183i | ||||
\(811\) | −1.11154e13 | − | 4.60413e12i | −0.902256 | − | 0.373727i | −0.117169 | − | 0.993112i | \(-0.537382\pi\) |
−0.785087 | + | 0.619385i | \(0.787382\pi\) | |||||||
\(812\) | 2.27254e12i | 0.183447i | ||||||||
\(813\) | −7.22409e11 | + | 1.74405e12i | −0.0579930 | + | 0.140008i | ||||
\(814\) | 5.12939e11 | − | 5.12939e11i | 0.0409502 | − | 0.0409502i | ||||
\(815\) | 1.48669e12 | 0.118035 | ||||||||
\(816\) | −7.48944e12 | − | 4.45617e12i | −0.591349 | − | 0.351849i | ||||
\(817\) | 1.15441e12 | 0.0906482 | ||||||||
\(818\) | −1.53289e13 | + | 1.53289e13i | −1.19707 | + | 1.19707i | ||||
\(819\) | 3.15020e12 | − | 7.60526e12i | 0.244659 | − | 0.590659i | ||||
\(820\) | − | 1.18323e12i | − | 0.0913919i | ||||||
\(821\) | −1.23476e13 | − | 5.11454e12i | −0.948501 | − | 0.392882i | −0.145834 | − | 0.989309i | \(-0.546587\pi\) |
−0.802667 | + | 0.596427i | \(0.796587\pi\) | |||||||
\(822\) | 2.37957e11 | + | 5.74479e11i | 0.0181792 | + | 0.0438885i | ||||
\(823\) | 1.08146e13 | − | 4.47955e12i | 0.821695 | − | 0.340357i | 0.0680855 | − | 0.997679i | \(-0.478311\pi\) |
0.753610 | + | 0.657322i | \(0.228311\pi\) | |||||||
\(824\) | −9.72391e12 | − | 9.72391e12i | −0.734799 | − | 0.734799i | ||||
\(825\) | 1.98421e11 | + | 1.98421e11i | 0.0149123 | + | 0.0149123i | ||||
\(826\) | −1.28570e13 | + | 5.32556e12i | −0.961017 | + | 0.398066i | ||||
\(827\) | −7.99800e12 | − | 1.93089e13i | −0.594575 | − | 1.43543i | −0.879042 | − | 0.476745i | \(-0.841817\pi\) |
0.284467 | − | 0.958686i | \(-0.408183\pi\) | |||||||
\(828\) | 1.53344e11 | + | 6.35171e10i | 0.0113378 | + | 0.00469628i | ||||
\(829\) | − | 3.37506e12i | − | 0.248191i | −0.992270 | − | 0.124096i | \(-0.960397\pi\) | ||
0.992270 | − | 0.124096i | \(-0.0396029\pi\) | |||||||
\(830\) | −2.14599e12 | + | 5.18087e12i | −0.156955 | + | 0.378923i | ||||
\(831\) | −7.28673e12 | + | 7.28673e12i | −0.530064 | + | 0.530064i | ||||
\(832\) | 8.96067e12 | 0.648314 | ||||||||
\(833\) | −1.51640e12 | − | 2.03088e12i | −0.109122 | − | 0.146144i | ||||
\(834\) | −8.99022e12 | −0.643462 | ||||||||
\(835\) | 5.31915e12 | − | 5.31915e12i | 0.378663 | − | 0.378663i | ||||
\(836\) | −1.28872e10 | + | 3.11125e10i | −0.000912495 | + | 0.00220296i | ||||
\(837\) | − | 5.78458e12i | − | 0.407387i | ||||||
\(838\) | 4.25666e12 | + | 1.76316e12i | 0.298174 | + | 0.123508i | ||||
\(839\) | 5.13434e12 | + | 1.23954e13i | 0.357730 | + | 0.863637i | 0.995618 | + | 0.0935084i | \(0.0298082\pi\) |
−0.637888 | + | 0.770129i | \(0.720192\pi\) | |||||||
\(840\) | −3.21652e12 | + | 1.33233e12i | −0.222910 | + | 0.0923324i | ||||
\(841\) | −4.25369e12 | − | 4.25369e12i | −0.293213 | − | 0.293213i | ||||
\(842\) | −7.67243e12 | − | 7.67243e12i | −0.526052 | − | 0.526052i | ||||
\(843\) | 3.46900e12 | − | 1.43691e12i | 0.236581 | − | 0.0979952i | ||||
\(844\) | 1.79038e12 | + | 4.32235e12i | 0.121452 | + | 0.293210i | ||||
\(845\) | −9.14524e11 | − | 3.78808e11i | −0.0617078 | − | 0.0255602i | ||||
\(846\) | − | 1.96926e13i | − | 1.32171i | ||||||
\(847\) | 5.16831e12 | − | 1.24774e13i | 0.345043 | − | 0.833007i | ||||
\(848\) | 4.10485e12 | − | 4.10485e12i | 0.272594 | − | 0.272594i | ||||
\(849\) | −3.38806e12 | −0.223803 | ||||||||
\(850\) | 1.68491e12 | − | 1.16172e13i | 0.110711 | − | 0.763337i | ||||
\(851\) | 1.02140e12 | 0.0667593 | ||||||||
\(852\) | 1.59300e12 | − | 1.59300e12i | 0.103571 | − | 0.103571i | ||||
\(853\) | −2.74937e12 | + | 6.63757e12i | −0.177813 | + | 0.429278i | −0.987507 | − | 0.157574i | \(-0.949633\pi\) |
0.809694 | + | 0.586852i | \(0.199633\pi\) | |||||||
\(854\) | − | 6.63559e12i | − | 0.426893i | ||||||
\(855\) | −9.10766e11 | − | 3.77251e11i | −0.0582853 | − | 0.0241426i | ||||
\(856\) | 8.11125e12 | + | 1.95823e13i | 0.516364 | + | 1.24661i | ||||
\(857\) | −1.64212e13 | + | 6.80189e12i | −1.03990 | + | 0.430741i | −0.836276 | − | 0.548308i | \(-0.815272\pi\) |
−0.203624 | + | 0.979049i | \(0.565272\pi\) | |||||||
\(858\) | 4.10767e11 | + | 4.10767e11i | 0.0258764 | + | 0.0258764i | ||||
\(859\) | 3.06601e12 | + | 3.06601e12i | 0.192134 | + | 0.192134i | 0.796618 | − | 0.604484i | \(-0.206621\pi\) |
−0.604484 | + | 0.796618i | \(0.706621\pi\) | |||||||
\(860\) | −1.18604e12 | + | 4.91274e11i | −0.0739360 | + | 0.0306253i | ||||
\(861\) | 1.97559e12 | + | 4.76949e12i | 0.122513 | + | 0.295773i | ||||
\(862\) | 7.82319e11 | + | 3.24047e11i | 0.0482615 | + | 0.0199906i | ||||
\(863\) | 2.34250e13i | 1.43758i | 0.695228 | + | 0.718790i | \(0.255304\pi\) | ||||
−0.695228 | + | 0.718790i | \(0.744696\pi\) | |||||||
\(864\) | −3.11634e12 | + | 7.52350e12i | −0.190253 | + | 0.459313i | ||||
\(865\) | 1.03040e13 | − | 1.03040e13i | 0.625795 | − | 0.625795i | ||||
\(866\) | 2.17446e13 | 1.31377 | ||||||||
\(867\) | 6.03034e12 | − | 7.44559e12i | 0.362457 | − | 0.447521i | ||||
\(868\) | 1.70031e12 | 0.101669 | ||||||||
\(869\) | −7.16171e11 | + | 7.16171e11i | −0.0426018 | + | 0.0426018i | ||||
\(870\) | 1.79654e12 | − | 4.33723e12i | 0.106316 | − | 0.256670i | ||||
\(871\) | 2.28054e13i | 1.34263i | ||||||||
\(872\) | 1.70163e13 | + | 7.04840e12i | 0.996649 | + | 0.412825i | ||||
\(873\) | −6.43995e12 | − | 1.55474e13i | −0.375248 | − | 0.905928i | ||||
\(874\) | −2.09009e11 | + | 8.65742e10i | −0.0121161 | + | 0.00501865i | ||||
\(875\) | −1.04768e13 | − | 1.04768e13i | −0.604216 | − | 0.604216i | ||||
\(876\) | 9.03314e11 | + | 9.03314e11i | 0.0518287 | + | 0.0518287i | ||||
\(877\) | 8.47113e12 | − | 3.50886e12i | 0.483552 | − | 0.200294i | −0.127571 | − | 0.991829i | \(-0.540718\pi\) |
0.611123 | + | 0.791536i | \(0.290718\pi\) | |||||||
\(878\) | 3.12930e12 | + | 7.55481e12i | 0.177714 | + | 0.429040i | ||||
\(879\) | 1.08426e13 | + | 4.49116e12i | 0.612611 | + | 0.253752i | ||||
\(880\) | 6.36342e11i | 0.0357700i | ||||||||
\(881\) | −1.18548e13 | + | 2.86200e13i | −0.662984 | + | 1.60058i | 0.130120 | + | 0.991498i | \(0.458464\pi\) |
−0.793104 | + | 0.609087i | \(0.791536\pi\) | |||||||
\(882\) | −1.74250e12 | + | 1.74250e12i | −0.0969534 | + | 0.0969534i | ||||
\(883\) | 3.55305e13 | 1.96688 | 0.983441 | − | 0.181231i | \(-0.0580082\pi\) | ||||
0.983441 | + | 0.181231i | \(0.0580082\pi\) | |||||||
\(884\) | 7.31086e11 | − | 5.04073e12i | 0.0402655 | − | 0.277625i | ||||
\(885\) | 6.02551e12 | 0.330179 | ||||||||
\(886\) | 2.11852e13 | − | 2.11852e13i | 1.15500 | − | 1.15500i | ||||
\(887\) | 1.27540e13 | − | 3.07909e13i | 0.691817 | − | 1.67019i | −0.0492715 | − | 0.998785i | \(-0.515690\pi\) |
0.741088 | − | 0.671408i | \(-0.234310\pi\) | |||||||
\(888\) | 8.50340e12i | 0.458917i | ||||||||
\(889\) | −2.52337e13 | − | 1.04521e13i | −1.35495 | − | 0.561237i | ||||
\(890\) | 7.42359e12 | + | 1.79221e13i | 0.396606 | + | 0.957491i | ||||
\(891\) | −1.06779e11 | + | 4.42291e10i | −0.00567590 | + | 0.00235103i | ||||
\(892\) | 5.30967e12 | + | 5.30967e12i | 0.280819 | + | 0.280819i | ||||
\(893\) | 3.97804e12 | + | 3.97804e12i | 0.209333 | + | 0.209333i | ||||
\(894\) | −7.87185e12 | + | 3.26063e12i | −0.412153 | + | 0.170719i | ||||
\(895\) | 2.59300e11 | + | 6.26005e11i | 0.0135082 | + | 0.0326118i | ||||
\(896\) | 1.94490e13 | + | 8.05603e12i | 1.00812 | + | 0.417575i | ||||
\(897\) | 8.17946e11i | 0.0421851i | ||||||||
\(898\) | −4.05761e11 | + | 9.79595e11i | −0.0208222 | + | 0.0502693i | ||||
\(899\) | 4.49248e12 | − | 4.49248e12i | 0.229386 | − | 0.229386i | ||||
\(900\) | −2.39217e12 | −0.121535 | ||||||||
\(901\) | 3.81847e12 | + | 5.11399e12i | 0.193031 | + | 0.258523i | ||||
\(902\) | 7.34166e11 | 0.0369287 | ||||||||
\(903\) | 3.96055e12 | − | 3.96055e12i | 0.198226 | − | 0.198226i | ||||
\(904\) | −1.05376e13 | + | 2.54401e13i | −0.524790 | + | 1.26695i | ||||
\(905\) | 1.06714e13i | 0.528814i | ||||||||
\(906\) | −4.77032e12 | − | 1.97593e12i | −0.235218 | − | 0.0974304i | ||||
\(907\) | −1.22044e13 | − | 2.94640e13i | −0.598803 | − | 1.44564i | −0.874803 | − | 0.484480i | \(-0.839009\pi\) |
0.276000 | − | 0.961158i | \(-0.410991\pi\) | |||||||
\(908\) | 6.28440e12 | − | 2.60309e12i | 0.306816 | − | 0.127087i | ||||
\(909\) | 8.34470e11 | + | 8.34470e11i | 0.0405390 | + | 0.0405390i | ||||
\(910\) | −8.82281e12 | − | 8.82281e12i | −0.426501 | − | 0.426501i | ||||
\(911\) | −7.03465e12 | + | 2.91385e12i | −0.338384 | + | 0.140163i | −0.545404 | − | 0.838174i | \(-0.683624\pi\) |
0.207020 | + | 0.978337i | \(0.433624\pi\) | |||||||
\(912\) | −9.26337e11 | − | 2.23637e12i | −0.0443396 | − | 0.107045i | ||||
\(913\) | −6.73768e11 | − | 2.79084e11i | −0.0320916 | − | 0.0132928i | ||||
\(914\) | − | 2.43458e13i | − | 1.15389i | ||||||
\(915\) | −1.09948e12 | + | 2.65438e12i | −0.0518552 | + | 0.125190i | ||||
\(916\) | 6.94838e12 | − | 6.94838e12i | 0.326102 | − | 0.326102i | ||||
\(917\) | −1.91350e13 | −0.893649 | ||||||||
\(918\) | −1.99840e13 | − | 1.18904e13i | −0.928732 | − | 0.552590i | ||||
\(919\) | −2.31210e13 | −1.06927 | −0.534635 | − | 0.845083i | \(-0.679551\pi\) | ||||
−0.534635 | + | 0.845083i | \(0.679551\pi\) | |||||||
\(920\) | −4.92955e11 | + | 4.92955e11i | −0.0226862 | + | 0.0226862i | ||||
\(921\) | 4.92076e12 | − | 1.18798e13i | 0.225353 | − | 0.544051i | ||||
\(922\) | 3.70049e13i | 1.68644i | ||||||||
\(923\) | −2.06702e13 | − | 8.56188e12i | −0.937427 | − | 0.388295i | ||||
\(924\) | 6.25275e10 | + | 1.50955e11i | 0.00282194 | + | 0.00681276i | ||||
\(925\) | −1.36004e13 | + | 5.63345e12i | −0.610819 | + | 0.253010i | ||||
\(926\) | −6.77970e12 | − | 6.77970e12i | −0.303013 | − | 0.303013i | ||||
\(927\) | −1.33590e13 | − | 1.33590e13i | −0.594175 | − | 0.594175i | ||||
\(928\) | −8.26321e12 | + | 3.42274e12i | −0.365749 | + | 0.151498i | ||||
\(929\) | 6.54737e12 | + | 1.58067e13i | 0.288400 | + | 0.696260i | 0.999980 | − | 0.00634543i | \(-0.00201983\pi\) |
−0.711579 | + | 0.702606i | \(0.752020\pi\) | |||||||
\(930\) | −3.24510e12 | − | 1.34416e12i | −0.142251 | − | 0.0589221i | ||||
\(931\) | − | 7.03993e11i | − | 0.0307110i | ||||||
\(932\) | 2.31726e12 | − | 5.59436e12i | 0.100601 | − | 0.242873i | ||||
\(933\) | −3.68181e12 | + | 3.68181e12i | −0.159072 | + | 0.159072i | ||||
\(934\) | −2.06122e13 | −0.886263 | ||||||||
\(935\) | −6.92364e11 | − | 1.00417e11i | −0.0296266 | − | 0.00429692i | ||||
\(936\) | 1.37230e13 | 0.584395 | ||||||||
\(937\) | 1.41808e13 | − | 1.41808e13i | 0.600998 | − | 0.600998i | −0.339580 | − | 0.940577i | \(-0.610285\pi\) |
0.940577 | + | 0.339580i | \(0.110285\pi\) | |||||||
\(938\) | −1.17115e13 | + | 2.82741e13i | −0.493970 | + | 1.19255i | ||||
\(939\) | 1.18516e13i | 0.497488i | ||||||||
\(940\) | −5.77996e12 | − | 2.39414e12i | −0.241462 | − | 0.100017i | ||||
\(941\) | −1.21408e13 | − | 2.93105e13i | −0.504770 | − | 1.21862i | −0.946858 | − | 0.321651i | \(-0.895762\pi\) |
0.442088 | − | 0.896972i | \(-0.354238\pi\) | |||||||
\(942\) | 2.32448e13 | − | 9.62833e12i | 0.961828 | − | 0.398402i | ||||
\(943\) | 7.30958e11 | + | 7.30958e11i | 0.0301016 | + | 0.0301016i | ||||
\(944\) | −2.10835e13 | − | 2.10835e13i | −0.864108 | − | 0.864108i | ||||
\(945\) | −1.10307e13 | + | 4.56905e12i | −0.449944 | + | 0.186373i | ||||
\(946\) | −3.04823e11 | − | 7.35908e11i | −0.0123748 | − | 0.0298754i | ||||
\(947\) | 3.12283e13 | + | 1.29352e13i | 1.26175 | + | 0.522634i | 0.910446 | − | 0.413628i | \(-0.135739\pi\) |
0.351304 | + | 0.936262i | \(0.385739\pi\) | |||||||
\(948\) | 4.28445e12i | 0.172289i | ||||||||
\(949\) | 4.85502e12 | − | 1.17211e13i | 0.194309 | − | 0.469104i | ||||
\(950\) | 2.30555e12 | − | 2.30555e12i | 0.0918371 | − | 0.0918371i | ||||
\(951\) | −2.17925e13 | −0.863964 | ||||||||
\(952\) | −9.68498e12 | + | 1.62774e13i | −0.382149 | + | 0.642273i | ||||
\(953\) | 1.11972e13 | 0.439737 | 0.219868 | − | 0.975530i | \(-0.429437\pi\) | ||||
0.219868 | + | 0.975530i | \(0.429437\pi\) | |||||||
\(954\) | 4.38781e12 | − | 4.38781e12i | 0.171506 | − | 0.171506i | ||||
\(955\) | 5.19921e12 | − | 1.25520e13i | 0.202266 | − | 0.488313i | ||||
\(956\) | 8.78089e12i | 0.339999i | ||||||||
\(957\) | 5.64053e11 | + | 2.33638e11i | 0.0217378 | + | 0.00900411i | ||||
\(958\) | 2.60783e12 | + | 6.29586e12i | 0.100031 | + | 0.241496i | ||||
\(959\) | 1.60470e12 | − | 6.64687e11i | 0.0612645 | − | 0.0253766i | ||||
\(960\) | −3.68155e12 | − | 3.68155e12i | −0.139897 | − | 0.139897i | ||||
\(961\) | 1.53344e13 | + | 1.53344e13i | 0.579977 | + | 0.579977i | ||||
\(962\) | −2.81552e13 | + | 1.16623e13i | −1.05991 | + | 0.439031i | ||||
\(963\) | 1.11435e13 | + | 2.69027e13i | 0.417544 | + | 1.00804i | ||||
\(964\) | 8.75287e11 | + | 3.62556e11i | 0.0326440 | + | 0.0135216i | ||||
\(965\) | 1.78354e13i | 0.662077i | ||||||||
\(966\) | −4.20050e11 | + | 1.01409e12i | −0.0155204 | + | 0.0374696i | ||||
\(967\) | −5.69066e12 | + | 5.69066e12i | −0.209288 | + | 0.209288i | −0.803965 | − | 0.594677i | \(-0.797280\pi\) |
0.594677 | + | 0.803965i | \(0.297280\pi\) | |||||||
\(968\) | 2.25142e13 | 0.824173 | ||||||||
\(969\) | 2.57944e12 | − | 6.54979e11i | 0.0939871 | − | 0.0238655i | ||||
\(970\) | −2.55074e13 | −0.925109 | ||||||||
\(971\) | 2.33616e13 | − | 2.33616e13i | 0.843367 | − | 0.843367i | −0.145928 | − | 0.989295i | \(-0.546617\pi\) |
0.989295 | + | 0.145928i | \(0.0466168\pi\) | |||||||
\(972\) | −2.90041e12 | + | 7.00222e12i | −0.104223 | + | 0.251615i | ||||
\(973\) | 2.51124e13i | 0.898217i | ||||||||
\(974\) | 2.09561e13 | + | 8.68031e12i | 0.746098 | + | 0.309044i | ||||
\(975\) | −4.51133e12 | − | 1.08913e13i | −0.159876 | − | 0.385975i | ||||
\(976\) | 1.31349e13 | − | 5.44065e12i | 0.463342 | − | 0.191923i | ||||
\(977\) | −3.08299e13 | − | 3.08299e13i | −1.08255 | − | 1.08255i | −0.996271 | − | 0.0862737i | \(-0.972504\pi\) |
−0.0862737 | − | 0.996271i | \(-0.527496\pi\) | |||||||
\(978\) | 2.75926e12 | + | 2.75926e12i | 0.0964422 | + | 0.0964422i | ||||
\(979\) | −2.33076e12 | + | 9.65433e11i | −0.0810916 | + | 0.0335892i | ||||
\(980\) | 2.99594e11 | + | 7.23284e11i | 0.0103757 | + | 0.0250491i | ||||
\(981\) | 2.33775e13 | + | 9.68329e12i | 0.805912 | + | 0.333820i | ||||
\(982\) | − | 3.87041e13i | − | 1.32818i | ||||||
\(983\) | −1.99635e13 | + | 4.81962e13i | −0.681940 | + | 1.64635i | 0.0784783 | + | 0.996916i | \(0.474994\pi\) |
−0.760418 | + | 0.649433i | \(0.775006\pi\) | |||||||
\(984\) | −6.08542e12 | + | 6.08542e12i | −0.206925 | + | 0.206925i | ||||
\(985\) | 1.37073e13 | 0.463968 | ||||||||
\(986\) | −6.28576e12 | − | 2.47546e13i | −0.211793 | − | 0.834083i | ||||
\(987\) | 2.72958e13 | 0.915522 | ||||||||
\(988\) | 1.00038e12 | − | 1.00038e12i | 0.0334010 | − | 0.0334010i | ||||
\(989\) | 4.29201e11 | − | 1.03618e12i | 0.0142652 | − | 0.0344392i | ||||
\(990\) | 6.80206e11i | 0.0225052i | ||||||||
\(991\) | 5.20461e13 | + | 2.15582e13i | 1.71418 | + | 0.710038i | 0.999949 | + | 0.0101303i | \(0.00322464\pi\) |
0.714234 | + | 0.699907i | \(0.246775\pi\) | |||||||
\(992\) | 2.56088e12 | + | 6.18250e12i | 0.0839627 | + | 0.202704i | ||||
\(993\) | 5.09892e12 | − | 2.11204e12i | 0.166421 | − | 0.0689336i | ||||
\(994\) | −2.12301e13 | − | 2.12301e13i | −0.689783 | − | 0.689783i | ||||
\(995\) | −1.55157e13 | − | 1.55157e13i | −0.501842 | − | 0.501842i | ||||
\(996\) | −2.85019e12 | + | 1.18059e12i | −0.0917714 | + | 0.0380130i | ||||
\(997\) | −9.58201e12 | − | 2.31330e13i | −0.307134 | − | 0.741488i | −0.999795 | − | 0.0202249i | \(-0.993562\pi\) |
0.692661 | − | 0.721263i | \(-0.256438\pi\) | |||||||
\(998\) | 3.95469e13 | + | 1.63809e13i | 1.26190 | + | 0.522696i | ||||
\(999\) | 2.91614e13i | 0.926325i |
(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 | 17.10.d.a.8.11 | ✓ | 52 | |
17.7 | odd | 16 | 289.10.a.i.1.14 | 52 | |||
17.10 | odd | 16 | 289.10.a.i.1.13 | 52 | |||
17.15 | even | 8 | inner | 17.10.d.a.15.11 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.11 | ✓ | 52 | 1.1 | even | 1 | trivial | |
17.10.d.a.15.11 | yes | 52 | 17.15 | even | 8 | inner | |
289.10.a.i.1.13 | 52 | 17.10 | odd | 16 | |||
289.10.a.i.1.14 | 52 | 17.7 | odd | 16 |