Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,28,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 28, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 28);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 28 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(73.8968919741\) |
Analytic rank: | \(0\) |
Dimension: | \(106\) |
Relative dimension: | \(53\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.28.e.a.13.17 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5798.80 | − | 10029.5i | −0.500534 | − | 0.865717i | ||||
\(3\) | 1.92086e6 | − | 1.92086e6i | 0.695598 | − | 0.695598i | −0.267860 | − | 0.963458i | \(-0.586316\pi\) |
0.963458 | + | 0.267860i | \(0.0863164\pi\) | |||||||
\(4\) | −6.69655e7 | + | 1.16319e8i | −0.498932 | + | 0.866641i | ||||
\(5\) | 4.80331e8 | + | 4.80331e8i | 0.175973 | + | 0.175973i | 0.789598 | − | 0.613625i | \(-0.210289\pi\) |
−0.613625 | + | 0.789598i | \(0.710289\pi\) | |||||||
\(6\) | −3.04040e10 | − | 8.12664e9i | −0.950361 | − | 0.254021i | ||||
\(7\) | 4.11420e11i | 1.60495i | 0.596684 | + | 0.802476i | \(0.296485\pi\) | ||||
−0.596684 | + | 0.802476i | \(0.703515\pi\) | |||||||
\(8\) | 1.55494e12 | − | 2.87564e9i | 0.999998 | − | 0.00184935i | ||||
\(9\) | 2.46204e11i | 0.0322865i | ||||||||
\(10\) | 2.03215e12 | − | 7.60284e12i | 0.0642623 | − | 0.240423i | ||||
\(11\) | 2.97858e13 | + | 2.97858e13i | 0.260140 | + | 0.260140i | 0.825111 | − | 0.564971i | \(-0.191112\pi\) |
−0.564971 | + | 0.825111i | \(0.691112\pi\) | |||||||
\(12\) | 9.48003e13 | + | 3.52063e14i | 0.255778 | + | 0.949890i | ||||
\(13\) | 3.90244e14 | − | 3.90244e14i | 0.357356 | − | 0.357356i | −0.505481 | − | 0.862838i | \(-0.668685\pi\) |
0.862838 | + | 0.505481i | \(0.168685\pi\) | |||||||
\(14\) | 4.12636e15 | − | 2.38575e15i | 1.38943 | − | 0.803333i | ||||
\(15\) | 1.84530e15 | 0.244813 | ||||||||
\(16\) | −9.04564e15 | − | 1.55787e16i | −0.502134 | − | 0.864790i | ||||
\(17\) | −1.80150e16 | −0.441138 | −0.220569 | − | 0.975371i | \(-0.570791\pi\) | ||||
−0.220569 | + | 0.975371i | \(0.570791\pi\) | |||||||
\(18\) | 2.46931e15 | − | 1.42769e15i | 0.0279510 | − | 0.0161605i | ||||
\(19\) | 3.44699e16 | − | 3.44699e16i | 0.188047 | − | 0.188047i | −0.606804 | − | 0.794851i | \(-0.707549\pi\) |
0.794851 | + | 0.606804i | \(0.207549\pi\) | |||||||
\(20\) | −8.80370e16 | + | 2.37058e16i | −0.240304 | + | 0.0647068i | ||||
\(21\) | 7.90280e17 | + | 7.90280e17i | 1.11640 | + | 1.11640i | ||||
\(22\) | 1.26016e17 | − | 4.71460e17i | 0.0949990 | − | 0.355417i | ||||
\(23\) | 2.55457e18i | 1.05680i | 0.848996 | + | 0.528399i | \(0.177208\pi\) | ||||
−0.848996 | + | 0.528399i | \(0.822792\pi\) | |||||||
\(24\) | 2.98130e18 | − | 2.99235e18i | 0.694311 | − | 0.696883i | ||||
\(25\) | − | 6.98915e18i | − | 0.938067i | ||||||
\(26\) | −6.17692e18 | − | 1.65102e18i | −0.488238 | − | 0.130500i | ||||
\(27\) | 1.51206e19 | + | 1.51206e19i | 0.718057 | + | 0.718057i | ||||
\(28\) | −4.78558e19 | − | 2.75510e19i | −1.39092 | − | 0.800762i | ||||
\(29\) | −7.52283e19 | + | 7.52283e19i | −1.36147 | + | 1.36147i | −0.489424 | + | 0.872046i | \(0.662793\pi\) |
−0.872046 | + | 0.489424i | \(0.837207\pi\) | |||||||
\(30\) | −1.07005e19 | − | 1.85075e19i | −0.122537 | − | 0.211938i | ||||
\(31\) | −1.10062e20 | −0.809573 | −0.404787 | − | 0.914411i | \(-0.632654\pi\) | ||||
−0.404787 | + | 0.914411i | \(0.632654\pi\) | |||||||
\(32\) | −1.03793e20 | + | 1.81061e20i | −0.497328 | + | 0.867562i | ||||
\(33\) | 1.14429e20 | 0.361906 | ||||||||
\(34\) | 1.04466e20 | + | 1.80682e20i | 0.220804 | + | 0.381901i | ||||
\(35\) | −1.97618e20 | + | 1.97618e20i | −0.282428 | + | 0.282428i | ||||
\(36\) | −2.86381e19 | − | 1.64872e19i | −0.0279808 | − | 0.0161088i | ||||
\(37\) | −1.76426e21 | − | 1.76426e21i | −1.19080 | − | 1.19080i | −0.976843 | − | 0.213959i | \(-0.931364\pi\) |
−0.213959 | − | 0.976843i | \(-0.568636\pi\) | |||||||
\(38\) | −5.45601e20 | − | 1.45833e20i | −0.256919 | − | 0.0686716i | ||||
\(39\) | − | 1.49921e21i | − | 0.497153i | ||||||
\(40\) | 7.48268e20 | + | 7.45505e20i | 0.176298 | + | 0.175647i | ||||
\(41\) | − | 3.54498e21i | − | 0.598456i | −0.954182 | − | 0.299228i | \(-0.903271\pi\) | ||
0.954182 | − | 0.299228i | \(-0.0967290\pi\) | |||||||
\(42\) | 3.34347e21 | − | 1.25088e22i | 0.407691 | − | 1.52529i | ||||
\(43\) | 5.32060e20 | + | 5.32060e20i | 0.0472211 | + | 0.0472211i | 0.730323 | − | 0.683102i | \(-0.239370\pi\) |
−0.683102 | + | 0.730323i | \(0.739370\pi\) | |||||||
\(44\) | −5.45926e21 | + | 1.47002e21i | −0.355241 | + | 0.0956561i | ||||
\(45\) | −1.18259e20 | + | 1.18259e20i | −0.00568155 | + | 0.00568155i | ||||
\(46\) | 2.56212e22 | − | 1.48135e22i | 0.914888 | − | 0.528963i | ||||
\(47\) | 1.45259e22 | 0.387990 | 0.193995 | − | 0.981003i | \(-0.437855\pi\) | ||||
0.193995 | + | 0.981003i | \(0.437855\pi\) | |||||||
\(48\) | −4.72998e22 | − | 1.25490e22i | −0.950830 | − | 0.252263i | ||||
\(49\) | −1.03554e23 | −1.57587 | ||||||||
\(50\) | −7.00979e22 | + | 4.05287e22i | −0.812101 | + | 0.469534i | ||||
\(51\) | −3.46043e22 | + | 3.46043e22i | −0.306855 | + | 0.306855i | ||||
\(52\) | 1.92598e22 | + | 7.15256e22i | 0.131403 | + | 0.487996i | ||||
\(53\) | −2.22737e23 | − | 2.22737e23i | −1.17508 | − | 1.17508i | −0.980982 | − | 0.194098i | \(-0.937822\pi\) |
−0.194098 | − | 0.980982i | \(-0.562178\pi\) | |||||||
\(54\) | 6.39713e22 | − | 2.39334e23i | 0.262222 | − | 0.981045i | ||||
\(55\) | 2.86141e22i | 0.0915553i | ||||||||
\(56\) | 1.18310e21 | + | 6.39735e23i | 0.00296812 | + | 1.60495i | ||||
\(57\) | − | 1.32424e23i | − | 0.261610i | ||||||
\(58\) | 1.19074e24 | + | 3.18271e23i | 1.86011 | + | 0.497186i | ||||
\(59\) | −2.61506e22 | − | 2.61506e22i | −0.0324324 | − | 0.0324324i | 0.690705 | − | 0.723137i | \(-0.257300\pi\) |
−0.723137 | + | 0.690705i | \(0.757300\pi\) | |||||||
\(60\) | −1.23571e23 | + | 2.14642e23i | −0.122145 | + | 0.212165i | ||||
\(61\) | −5.21421e23 | + | 5.21421e23i | −0.412321 | + | 0.412321i | −0.882546 | − | 0.470225i | \(-0.844173\pi\) |
0.470225 | + | 0.882546i | \(0.344173\pi\) | |||||||
\(62\) | 6.38230e23 | + | 1.10388e24i | 0.405219 | + | 0.700861i | ||||
\(63\) | −1.01293e23 | −0.0518183 | ||||||||
\(64\) | 2.41784e24 | − | 8.94290e21i | 0.999993 | − | 0.00369870i | ||||
\(65\) | 3.74893e23 | 0.125770 | ||||||||
\(66\) | −6.63549e23 | − | 1.14767e24i | −0.181146 | − | 0.313309i | ||||
\(67\) | −1.61528e24 | + | 1.61528e24i | −0.359946 | + | 0.359946i | −0.863793 | − | 0.503847i | \(-0.831918\pi\) |
0.503847 | + | 0.863793i | \(0.331918\pi\) | |||||||
\(68\) | 1.20639e24 | − | 2.09548e24i | 0.220098 | − | 0.382308i | ||||
\(69\) | 4.90697e24 | + | 4.90697e24i | 0.735107 | + | 0.735107i | ||||
\(70\) | 3.12796e24 | + | 8.36069e23i | 0.385867 | + | 0.103138i | ||||
\(71\) | 6.23292e23i | 0.0634898i | 0.999496 | + | 0.0317449i | \(0.0101064\pi\) | ||||
−0.999496 | + | 0.0317449i | \(0.989894\pi\) | |||||||
\(72\) | 7.07993e20 | + | 3.82833e23i | 5.97091e−5 | + | 0.0322864i | ||||
\(73\) | 1.16831e25i | 0.817900i | 0.912557 | + | 0.408950i | \(0.134105\pi\) | ||||
−0.912557 | + | 0.408950i | \(0.865895\pi\) | |||||||
\(74\) | −7.46412e24 | + | 2.79253e25i | −0.434861 | + | 1.62693i | ||||
\(75\) | −1.34252e25 | − | 1.34252e25i | −0.652518 | − | 0.652518i | ||||
\(76\) | 1.70120e24 | + | 6.31778e24i | 0.0691466 | + | 0.256792i | ||||
\(77\) | −1.22545e25 | + | 1.22545e25i | −0.417513 | + | 0.417513i | ||||
\(78\) | −1.50364e25 | + | 8.69361e24i | −0.430393 | + | 0.248842i | ||||
\(79\) | −2.79686e25 | −0.674069 | −0.337035 | − | 0.941492i | \(-0.609424\pi\) | ||||
−0.337035 | + | 0.941492i | \(0.609424\pi\) | |||||||
\(80\) | 3.13802e24 | − | 1.18278e25i | 0.0638176 | − | 0.240541i | ||||
\(81\) | 5.62117e25 | 0.966671 | ||||||||
\(82\) | −3.55545e25 | + | 2.05566e25i | −0.518093 | + | 0.299547i | ||||
\(83\) | 1.86732e25 | − | 1.86732e25i | 0.231028 | − | 0.231028i | −0.582094 | − | 0.813122i | \(-0.697766\pi\) |
0.813122 | + | 0.582094i | \(0.197766\pi\) | |||||||
\(84\) | −1.44846e26 | + | 3.90028e25i | −1.52453 | + | 0.410511i | ||||
\(85\) | −8.65317e24 | − | 8.65317e24i | −0.0776283 | − | 0.0776283i | ||||
\(86\) | 2.25100e24 | − | 8.42162e24i | 0.0172444 | − | 0.0645159i | ||||
\(87\) | 2.89006e26i | 1.89407i | ||||||||
\(88\) | 4.64008e25 | + | 4.62295e25i | 0.260621 | + | 0.259659i | ||||
\(89\) | 1.37565e26i | 0.663349i | 0.943394 | + | 0.331674i | \(0.107614\pi\) | ||||
−0.943394 | + | 0.331674i | \(0.892386\pi\) | |||||||
\(90\) | 1.87185e24 | + | 5.00324e23i | 0.00776242 | + | 0.00207481i | ||||
\(91\) | 1.60554e26 | + | 1.60554e26i | 0.573540 | + | 0.573540i | ||||
\(92\) | −2.97144e26 | − | 1.71068e26i | −0.915865 | − | 0.527270i | ||||
\(93\) | −2.11414e26 | + | 2.11414e26i | −0.563138 | + | 0.563138i | ||||
\(94\) | −8.42326e25 | − | 1.45688e26i | −0.194202 | − | 0.335890i | ||||
\(95\) | 3.31139e25 | 0.0661823 | ||||||||
\(96\) | 1.48421e26 | + | 5.47165e26i | 0.257534 | + | 0.949415i | ||||
\(97\) | 8.72016e26 | 1.31555 | 0.657773 | − | 0.753216i | \(-0.271499\pi\) | ||||
0.657773 | + | 0.753216i | \(0.271499\pi\) | |||||||
\(98\) | 6.00491e26 | + | 1.03860e27i | 0.788778 | + | 1.36426i | ||||
\(99\) | −7.33338e24 | + | 7.33338e24i | −0.00839903 | + | 0.00839903i | ||||
\(100\) | 8.12968e26 | + | 4.68032e26i | 0.812968 | + | 0.468032i | ||||
\(101\) | −6.47267e26 | − | 6.47267e26i | −0.565907 | − | 0.565907i | 0.365072 | − | 0.930979i | \(-0.381044\pi\) |
−0.930979 | + | 0.365072i | \(0.881044\pi\) | |||||||
\(102\) | 5.47729e26 | + | 1.46402e26i | 0.419241 | + | 0.112058i | ||||
\(103\) | 2.56301e27i | 1.71968i | 0.510562 | + | 0.859841i | \(0.329438\pi\) | ||||
−0.510562 | + | 0.859841i | \(0.670562\pi\) | |||||||
\(104\) | 6.05685e26 | − | 6.07929e26i | 0.356695 | − | 0.358016i | ||||
\(105\) | 7.59192e26i | 0.392913i | ||||||||
\(106\) | −9.42339e26 | + | 3.52555e27i | −0.429119 | + | 1.60545i | ||||
\(107\) | −3.01990e27 | − | 3.01990e27i | −1.21147 | − | 1.21147i | −0.970544 | − | 0.240925i | \(-0.922549\pi\) |
−0.240925 | − | 0.970544i | \(-0.577451\pi\) | |||||||
\(108\) | −2.77137e27 | + | 7.46249e26i | −0.980559 | + | 0.264036i | ||||
\(109\) | −7.85340e26 | + | 7.85340e26i | −0.245358 | + | 0.245358i | −0.819062 | − | 0.573704i | \(-0.805506\pi\) |
0.573704 | + | 0.819062i | \(0.305506\pi\) | |||||||
\(110\) | 2.86986e26 | − | 1.65927e26i | 0.0792610 | − | 0.0458265i | ||||
\(111\) | −6.77779e27 | −1.65664 | ||||||||
\(112\) | 6.40938e27 | − | 3.72156e27i | 1.38795 | − | 0.805901i | ||||
\(113\) | 7.96150e27 | 1.52910 | 0.764550 | − | 0.644565i | \(-0.222961\pi\) | ||||
0.764550 | + | 0.644565i | \(0.222961\pi\) | |||||||
\(114\) | −1.32815e27 | + | 7.67898e26i | −0.226480 | + | 0.130945i | ||||
\(115\) | −1.22704e27 | + | 1.22704e27i | −0.185968 | + | 0.185968i | ||||
\(116\) | −3.71275e27 | − | 1.37881e28i | −0.500625 | − | 1.85919i | ||||
\(117\) | 9.60797e25 | + | 9.60797e25i | 0.0115378 | + | 0.0115378i | ||||
\(118\) | −1.10636e26 | + | 4.13920e26i | −0.0118438 | + | 0.0443108i | ||||
\(119\) | − | 7.41175e27i | − | 0.708006i | ||||||
\(120\) | 2.86933e27 | − | 5.30640e24i | 0.244812 | − | 0.000452745i | ||||
\(121\) | − | 1.13356e28i | − | 0.864654i | ||||||
\(122\) | 8.25323e27 | + | 2.20599e27i | 0.563334 | + | 0.150573i | ||||
\(123\) | −6.80941e27 | − | 6.80941e27i | −0.416285 | − | 0.416285i | ||||
\(124\) | 7.37039e27 | − | 1.28023e28i | 0.403922 | − | 0.701610i | ||||
\(125\) | 6.93585e27 | − | 6.93585e27i | 0.341047 | − | 0.341047i | ||||
\(126\) | 5.87380e26 | + | 1.01592e27i | 0.0259368 | + | 0.0448600i | ||||
\(127\) | −1.22523e28 | −0.486258 | −0.243129 | − | 0.969994i | \(-0.578174\pi\) | ||||
−0.243129 | + | 0.969994i | \(0.578174\pi\) | |||||||
\(128\) | −1.41102e28 | − | 2.41979e28i | −0.503732 | − | 0.863860i | ||||
\(129\) | 2.04402e27 | 0.0656938 | ||||||||
\(130\) | −2.17393e27 | − | 3.76000e27i | −0.0629521 | − | 0.108881i | ||||
\(131\) | −2.63310e26 | + | 2.63310e26i | −0.00687551 | + | 0.00687551i | −0.710536 | − | 0.703661i | \(-0.751548\pi\) |
0.703661 | + | 0.710536i | \(0.251548\pi\) | |||||||
\(132\) | −7.66277e27 | + | 1.33102e28i | −0.180567 | + | 0.313643i | ||||
\(133\) | 1.41816e28 | + | 1.41816e28i | 0.301806 | + | 0.301806i | ||||
\(134\) | 2.55672e28 | + | 6.83382e27i | 0.491777 | + | 0.131446i | ||||
\(135\) | 1.45258e28i | 0.252717i | ||||||||
\(136\) | −2.80123e28 | + | 5.18047e25i | −0.441137 | + | 0.000815819i | ||||
\(137\) | 1.10648e27i | 0.0157839i | 0.999969 | + | 0.00789195i | \(0.00251211\pi\) | ||||
−0.999969 | + | 0.00789195i | \(0.997488\pi\) | |||||||
\(138\) | 2.07601e28 | − | 7.76692e28i | 0.268449 | − | 1.00434i | ||||
\(139\) | 3.99650e28 | + | 3.99650e28i | 0.468791 | + | 0.468791i | 0.901523 | − | 0.432732i | \(-0.142450\pi\) |
−0.432732 | + | 0.901523i | \(0.642450\pi\) | |||||||
\(140\) | −9.75306e27 | − | 3.62202e28i | −0.103851 | − | 0.385676i | ||||
\(141\) | 2.79021e28 | − | 2.79021e28i | 0.269885 | − | 0.269885i | ||||
\(142\) | 6.25133e27 | − | 3.61435e27i | 0.0549642 | − | 0.0317788i | ||||
\(143\) | 2.32475e28 | 0.185926 | ||||||||
\(144\) | 3.83553e27 | − | 2.22707e27i | 0.0279210 | − | 0.0162121i | ||||
\(145\) | −7.22689e28 | −0.479163 | ||||||||
\(146\) | 1.17176e29 | − | 6.77481e28i | 0.708070 | − | 0.409386i | ||||
\(147\) | −1.98913e29 | + | 1.98913e29i | −1.09617 | + | 1.09617i | ||||
\(148\) | 3.23361e29 | − | 8.70717e28i | 1.62613 | − | 0.437869i | ||||
\(149\) | −3.60656e27 | − | 3.60656e27i | −0.0165607 | − | 0.0165607i | 0.698778 | − | 0.715339i | \(-0.253728\pi\) |
−0.715339 | + | 0.698778i | \(0.753728\pi\) | |||||||
\(150\) | −5.67983e28 | + | 2.12498e29i | −0.238289 | + | 0.891503i | ||||
\(151\) | − | 4.10002e29i | − | 1.57252i | −0.617894 | − | 0.786261i | \(-0.712014\pi\) | ||
0.617894 | − | 0.786261i | \(-0.287986\pi\) | |||||||
\(152\) | 5.34995e28 | − | 5.36978e28i | 0.187699 | − | 0.188394i | ||||
\(153\) | − | 4.43537e27i | − | 0.0142428i | ||||||
\(154\) | 1.93968e29 | + | 5.18455e28i | 0.570428 | + | 0.152469i | ||||
\(155\) | −5.28664e28 | − | 5.28664e28i | −0.142463 | − | 0.142463i | ||||
\(156\) | 1.74386e29 | + | 1.00395e29i | 0.430853 | + | 0.248045i | ||||
\(157\) | −4.46652e29 | + | 4.46652e29i | −1.01233 | + | 1.01233i | −0.0124115 | + | 0.999923i | \(0.503951\pi\) |
−0.999923 | + | 0.0124115i | \(0.996049\pi\) | |||||||
\(158\) | 1.62184e29 | + | 2.80512e29i | 0.337394 | + | 0.583553i | ||||
\(159\) | −8.55691e29 | −1.63477 | ||||||||
\(160\) | −1.36824e29 | + | 3.71143e28i | −0.240184 | + | 0.0651511i | ||||
\(161\) | −1.05100e30 | −1.69611 | ||||||||
\(162\) | −3.25960e29 | − | 5.63777e29i | −0.483852 | − | 0.836864i | ||||
\(163\) | −3.19372e29 | + | 3.19372e29i | −0.436279 | + | 0.436279i | −0.890758 | − | 0.454479i | \(-0.849826\pi\) |
0.454479 | + | 0.890758i | \(0.349826\pi\) | |||||||
\(164\) | 4.12347e29 | + | 2.37391e29i | 0.518646 | + | 0.298589i | ||||
\(165\) | 5.49636e28 | + | 5.49636e28i | 0.0636857 | + | 0.0636857i | ||||
\(166\) | −2.95565e29 | − | 7.90013e28i | −0.315642 | − | 0.0843674i | ||||
\(167\) | 1.80078e30i | 1.77333i | 0.462413 | + | 0.886665i | \(0.346984\pi\) | ||||
−0.462413 | + | 0.886665i | \(0.653016\pi\) | |||||||
\(168\) | 1.23111e30 | + | 1.22657e30i | 1.11846 | + | 1.11434i | ||||
\(169\) | 8.87952e29i | 0.744593i | ||||||||
\(170\) | −3.66093e28 | + | 1.36965e29i | −0.0283485 | + | 0.106060i | ||||
\(171\) | 8.48662e27 | + | 8.48662e27i | 0.00607138 | + | 0.00607138i | ||||
\(172\) | −9.75181e28 | + | 2.62588e28i | −0.0644839 | + | 0.0173636i | ||||
\(173\) | −1.53158e30 | + | 1.53158e30i | −0.936522 | + | 0.936522i | −0.998102 | − | 0.0615805i | \(-0.980386\pi\) |
0.0615805 | + | 0.998102i | \(0.480386\pi\) | |||||||
\(174\) | 2.89859e30 | − | 1.67589e30i | 1.63973 | − | 0.948047i | ||||
\(175\) | 2.87548e30 | 1.50555 | ||||||||
\(176\) | 1.94591e29 | − | 7.33455e29i | 0.0943415 | − | 0.355592i | ||||
\(177\) | −1.00463e29 | −0.0451198 | ||||||||
\(178\) | 1.37971e30 | − | 7.97710e29i | 0.574272 | − | 0.332028i | ||||
\(179\) | 7.77018e29 | − | 7.77018e29i | 0.299858 | − | 0.299858i | −0.541100 | − | 0.840958i | \(-0.681992\pi\) |
0.840958 | + | 0.541100i | \(0.181992\pi\) | |||||||
\(180\) | −5.83647e27 | − | 2.16751e28i | −0.00208916 | − | 0.00775857i | ||||
\(181\) | −2.70650e30 | − | 2.70650e30i | −0.898974 | − | 0.898974i | 0.0963716 | − | 0.995345i | \(-0.469276\pi\) |
−0.995345 | + | 0.0963716i | \(0.969276\pi\) | |||||||
\(182\) | 6.79263e29 | − | 2.54131e30i | 0.209447 | − | 0.783599i | ||||
\(183\) | 2.00315e30i | 0.573620i | ||||||||
\(184\) | 7.34602e27 | + | 3.97221e30i | 0.00195439 | + | 1.05680i | ||||
\(185\) | − | 1.69486e30i | − | 0.419097i | ||||||
\(186\) | 3.34634e30 | + | 8.94438e29i | 0.769387 | + | 0.205648i | ||||
\(187\) | −5.36592e29 | − | 5.36592e29i | −0.114758 | − | 0.114758i | ||||
\(188\) | −9.72731e29 | + | 1.68963e30i | −0.193581 | + | 0.336248i | ||||
\(189\) | −6.22093e30 | + | 6.22093e30i | −1.15245 | + | 1.15245i | ||||
\(190\) | −1.92021e29 | − | 3.32117e29i | −0.0331265 | − | 0.0572951i | ||||
\(191\) | −6.84092e30 | −1.09942 | −0.549710 | − | 0.835355i | \(-0.685262\pi\) | ||||
−0.549710 | + | 0.835355i | \(0.685262\pi\) | |||||||
\(192\) | 4.62714e30 | − | 4.66150e30i | 0.693021 | − | 0.698166i | ||||
\(193\) | 3.61438e30 | 0.504673 | 0.252337 | − | 0.967640i | \(-0.418801\pi\) | ||||
0.252337 | + | 0.967640i | \(0.418801\pi\) | |||||||
\(194\) | −5.05665e30 | − | 8.74592e30i | −0.658475 | − | 1.13889i | ||||
\(195\) | 7.20116e29 | − | 7.20116e29i | 0.0874853 | − | 0.0874853i | ||||
\(196\) | 6.93457e30 | − | 1.20453e31i | 0.786253 | − | 1.36572i | ||||
\(197\) | −3.90430e30 | − | 3.90430e30i | −0.413285 | − | 0.413285i | 0.469596 | − | 0.882881i | \(-0.344399\pi\) |
−0.882881 | + | 0.469596i | \(0.844399\pi\) | |||||||
\(198\) | 1.16075e29 | + | 3.10256e28i | 0.0114752 | + | 0.00306718i | ||||
\(199\) | 7.25369e30i | 0.669950i | 0.942227 | + | 0.334975i | \(0.108728\pi\) | ||||
−0.942227 | + | 0.334975i | \(0.891272\pi\) | |||||||
\(200\) | −2.00983e28 | − | 1.08677e31i | −0.00173482 | − | 0.938066i | ||||
\(201\) | 6.20544e30i | 0.500756i | ||||||||
\(202\) | −2.73841e30 | + | 1.02452e31i | −0.206660 | + | 0.773171i | ||||
\(203\) | −3.09504e31 | − | 3.09504e31i | −2.18509 | − | 2.18509i | ||||
\(204\) | −1.70783e30 | − | 6.34242e30i | −0.112833 | − | 0.419033i | ||||
\(205\) | 1.70276e30 | − | 1.70276e30i | 0.105312 | − | 0.105312i | ||||
\(206\) | 2.57058e31 | − | 1.48624e31i | 1.48876 | − | 0.860759i | ||||
\(207\) | −6.28945e29 | −0.0341203 | ||||||||
\(208\) | −9.60950e30 | − | 2.54948e30i | −0.488479 | − | 0.129597i | ||||
\(209\) | 2.05343e30 | 0.0978373 | ||||||||
\(210\) | 7.61434e30 | − | 4.40240e30i | 0.340151 | − | 0.196666i | ||||
\(211\) | −8.25043e30 | + | 8.25043e30i | −0.345672 | + | 0.345672i | −0.858494 | − | 0.512823i | \(-0.828600\pi\) |
0.512823 | + | 0.858494i | \(0.328600\pi\) | |||||||
\(212\) | 4.08241e31 | − | 1.09927e31i | 1.60466 | − | 0.432088i | ||||
\(213\) | 1.19726e30 | + | 1.19726e30i | 0.0441634 | + | 0.0441634i | ||||
\(214\) | −1.27764e31 | + | 4.78001e31i | −0.442408 | + | 1.65517i | ||||
\(215\) | 5.11129e29i | 0.0166193i | ||||||||
\(216\) | 2.35552e31 | + | 2.34682e31i | 0.719383 | + | 0.716727i | ||||
\(217\) | − | 4.52819e31i | − | 1.29933i | ||||||
\(218\) | 1.24306e31 | + | 3.32257e30i | 0.335221 | + | 0.0896006i | ||||
\(219\) | 2.24416e31 | + | 2.24416e31i | 0.568930 | + | 0.568930i | ||||
\(220\) | −3.32835e30 | − | 1.91616e30i | −0.0793456 | − | 0.0456799i | ||||
\(221\) | −7.03026e30 | + | 7.03026e30i | −0.157643 | + | 0.157643i | ||||
\(222\) | 3.93031e31 | + | 6.79781e31i | 0.829204 | + | 1.43418i | ||||
\(223\) | −1.75149e30 | −0.0347771 | −0.0173885 | − | 0.999849i | \(-0.505535\pi\) | ||||
−0.0173885 | + | 0.999849i | \(0.505535\pi\) | |||||||
\(224\) | −7.44923e31 | − | 4.27025e31i | −1.39240 | − | 0.798188i | ||||
\(225\) | 1.72075e30 | 0.0302869 | ||||||||
\(226\) | −4.61671e31 | − | 7.98501e31i | −0.765366 | − | 1.32377i | ||||
\(227\) | −2.57645e31 | + | 2.57645e31i | −0.402414 | + | 0.402414i | −0.879083 | − | 0.476669i | \(-0.841844\pi\) |
0.476669 | + | 0.879083i | \(0.341844\pi\) | |||||||
\(228\) | 1.54033e31 | + | 8.86781e30i | 0.226722 | + | 0.130526i | ||||
\(229\) | 7.35315e31 | + | 7.35315e31i | 1.02022 | + | 1.02022i | 0.999791 | + | 0.0204302i | \(0.00650360\pi\) |
0.0204302 | + | 0.999791i | \(0.493496\pi\) | |||||||
\(230\) | 1.94220e31 | + | 5.19128e30i | 0.254079 | + | 0.0679123i | ||||
\(231\) | 4.70783e31i | 0.580843i | ||||||||
\(232\) | −1.16759e32 | + | 1.17192e32i | −1.35895 | + | 1.36399i | ||||
\(233\) | 2.95940e31i | 0.325012i | 0.986708 | + | 0.162506i | \(0.0519576\pi\) | ||||
−0.986708 | + | 0.162506i | \(0.948042\pi\) | |||||||
\(234\) | 4.06488e29 | − | 1.52078e30i | 0.00421340 | − | 0.0157635i | ||||
\(235\) | 6.97722e30 | + | 6.97722e30i | 0.0682757 | + | 0.0682757i | ||||
\(236\) | 4.79298e30 | − | 1.29061e30i | 0.0442888 | − | 0.0119257i | ||||
\(237\) | −5.37236e31 | + | 5.37236e31i | −0.468881 | + | 0.468881i | ||||
\(238\) | −7.43364e31 | + | 4.29793e31i | −0.612932 | + | 0.354381i | ||||
\(239\) | 2.50948e32 | 1.95529 | 0.977645 | − | 0.210262i | \(-0.0674316\pi\) | ||||
0.977645 | + | 0.210262i | \(0.0674316\pi\) | |||||||
\(240\) | −1.66919e31 | − | 2.87472e31i | −0.122929 | − | 0.211711i | ||||
\(241\) | 1.32138e32 | 0.920019 | 0.460010 | − | 0.887914i | \(-0.347846\pi\) | ||||
0.460010 | + | 0.887914i | \(0.347846\pi\) | |||||||
\(242\) | −1.13691e32 | + | 6.57329e31i | −0.748546 | + | 0.432788i | ||||
\(243\) | −7.32907e30 | + | 7.32907e30i | −0.0456420 | + | 0.0456420i | ||||
\(244\) | −2.57337e31 | − | 9.55681e31i | −0.151614 | − | 0.563055i | ||||
\(245\) | −4.97403e31 | − | 4.97403e31i | −0.277311 | − | 0.277311i | ||||
\(246\) | −2.88088e31 | + | 1.07782e32i | −0.152020 | + | 0.568749i | ||||
\(247\) | − | 2.69034e31i | − | 0.134399i | ||||||
\(248\) | −1.71141e32 | + | 3.16500e29i | −0.809572 | + | 0.00149719i | ||||
\(249\) | − | 7.17371e31i | − | 0.321405i | ||||||
\(250\) | −1.09783e32 | − | 2.93437e31i | −0.465956 | − | 0.124545i | ||||
\(251\) | −2.83073e32 | − | 2.83073e32i | −1.13842 | − | 1.13842i | −0.988733 | − | 0.149690i | \(-0.952172\pi\) |
−0.149690 | − | 0.988733i | \(-0.547828\pi\) | |||||||
\(252\) | 6.78316e30 | − | 1.17823e31i | 0.0258538 | − | 0.0449079i | ||||
\(253\) | −7.60899e31 | + | 7.60899e31i | −0.274916 | + | 0.274916i | ||||
\(254\) | 7.10486e31 | + | 1.22885e32i | 0.243389 | + | 0.420962i | ||||
\(255\) | −3.32430e31 | −0.107996 | ||||||||
\(256\) | −1.60871e32 | + | 2.81838e32i | −0.495723 | + | 0.868481i | ||||
\(257\) | 3.07303e32 | 0.898401 | 0.449200 | − | 0.893431i | \(-0.351709\pi\) | ||||
0.449200 | + | 0.893431i | \(0.351709\pi\) | |||||||
\(258\) | −1.18529e31 | − | 2.05006e31i | −0.0328820 | − | 0.0568723i | ||||
\(259\) | 7.25853e32 | − | 7.25853e32i | 1.91118 | − | 1.91118i | ||||
\(260\) | −2.51049e31 | + | 4.36070e31i | −0.0627506 | + | 0.108997i | ||||
\(261\) | −1.85215e31 | − | 1.85215e31i | −0.0439571 | − | 0.0439571i | ||||
\(262\) | 4.16776e30 | + | 1.11400e30i | 0.00939367 | + | 0.00251082i | ||||
\(263\) | 9.92943e31i | 0.212580i | 0.994335 | + | 0.106290i | \(0.0338971\pi\) | ||||
−0.994335 | + | 0.106290i | \(0.966103\pi\) | |||||||
\(264\) | 1.77930e32 | − | 3.29055e29i | 0.361906 | − | 0.000669292i | ||||
\(265\) | − | 2.13975e32i | − | 0.413564i | ||||||
\(266\) | 5.99986e31 | − | 2.24471e32i | 0.110215 | − | 0.412343i | ||||
\(267\) | 2.64242e32 | + | 2.64242e32i | 0.461424 | + | 0.461424i | ||||
\(268\) | −7.97190e31 | − | 2.96055e32i | −0.132356 | − | 0.491533i | ||||
\(269\) | −6.77329e32 | + | 6.77329e32i | −1.06941 | + | 1.06941i | −0.0720049 | + | 0.997404i | \(0.522940\pi\) |
−0.997404 | + | 0.0720049i | \(0.977060\pi\) | |||||||
\(270\) | 1.45687e32 | − | 8.42322e31i | 0.218781 | − | 0.126493i | ||||
\(271\) | 9.89672e32 | 1.41386 | 0.706929 | − | 0.707285i | \(-0.250080\pi\) | ||||
0.706929 | + | 0.707285i | \(0.250080\pi\) | |||||||
\(272\) | 1.62957e32 | + | 2.80650e32i | 0.221510 | + | 0.381492i | ||||
\(273\) | 6.16805e32 | 0.797906 | ||||||||
\(274\) | 1.10974e31 | − | 6.41624e30i | 0.0136644 | − | 0.00790038i | ||||
\(275\) | 2.08177e32 | − | 2.08177e32i | 0.244029 | − | 0.244029i | ||||
\(276\) | −8.99369e32 | + | 2.42174e32i | −1.00384 | + | 0.270306i | ||||
\(277\) | −8.93560e32 | − | 8.93560e32i | −0.949833 | − | 0.949833i | 0.0489678 | − | 0.998800i | \(-0.484407\pi\) |
−0.998800 | + | 0.0489678i | \(0.984407\pi\) | |||||||
\(278\) | 1.69081e32 | − | 6.32579e32i | 0.171195 | − | 0.640487i | ||||
\(279\) | − | 2.70978e31i | − | 0.0261383i | ||||||
\(280\) | −3.06716e32 | + | 3.07853e32i | −0.281905 | + | 0.282950i | ||||
\(281\) | − | 4.24304e32i | − | 0.371656i | −0.982582 | − | 0.185828i | \(-0.940503\pi\) | ||
0.982582 | − | 0.185828i | \(-0.0594968\pi\) | |||||||
\(282\) | −4.41644e32 | − | 1.18046e32i | −0.368731 | − | 0.0985575i | ||||
\(283\) | −8.55563e32 | − | 8.55563e32i | −0.680981 | − | 0.680981i | 0.279240 | − | 0.960221i | \(-0.409918\pi\) |
−0.960221 | + | 0.279240i | \(0.909918\pi\) | |||||||
\(284\) | −7.25005e31 | − | 4.17391e31i | −0.0550229 | − | 0.0316771i | ||||
\(285\) | 6.36071e31 | − | 6.36071e31i | 0.0460363 | − | 0.0460363i | ||||
\(286\) | −1.34808e32 | − | 2.33161e32i | −0.0930621 | − | 0.160959i | ||||
\(287\) | 1.45848e33 | 0.960493 | ||||||||
\(288\) | −4.45780e31 | − | 2.55542e31i | −0.0280106 | − | 0.0160570i | ||||
\(289\) | −1.34317e33 | −0.805397 | ||||||||
\(290\) | 4.19073e32 | + | 7.24824e32i | 0.239837 | + | 0.414820i | ||||
\(291\) | 1.67502e33 | − | 1.67502e33i | 0.915091 | − | 0.915091i | ||||
\(292\) | −1.35896e33 | − | 7.82366e32i | −0.708826 | − | 0.408076i | ||||
\(293\) | 7.75799e32 | + | 7.75799e32i | 0.386399 | + | 0.386399i | 0.873401 | − | 0.487002i | \(-0.161909\pi\) |
−0.487002 | + | 0.873401i | \(0.661909\pi\) | |||||||
\(294\) | 3.14847e33 | + | 8.41549e32i | 1.49765 | + | 0.400305i | ||||
\(295\) | − | 2.51219e31i | − | 0.0114144i | ||||||
\(296\) | −2.74840e33 | − | 2.73825e33i | −1.19300 | − | 1.18860i | ||||
\(297\) | 9.00759e32i | 0.373591i | ||||||||
\(298\) | −1.52584e31 | + | 5.70858e31i | −0.00604768 | + | 0.0226260i | ||||
\(299\) | 9.96907e32 | + | 9.96907e32i | 0.377653 | + | 0.377653i | ||||
\(300\) | 2.46062e33 | − | 6.62573e32i | 0.891061 | − | 0.239937i | ||||
\(301\) | −2.18900e32 | + | 2.18900e32i | −0.0757876 | + | 0.0757876i | ||||
\(302\) | −4.11213e33 | + | 2.37752e33i | −1.36136 | + | 0.787100i | ||||
\(303\) | −2.48662e33 | −0.787287 | ||||||||
\(304\) | −8.48797e32 | − | 2.25193e32i | −0.257046 | − | 0.0681963i | ||||
\(305\) | −5.00909e32 | −0.145115 | ||||||||
\(306\) | −4.44847e31 | + | 2.57198e31i | −0.0123302 | + | 0.00712900i | ||||
\(307\) | −4.78646e33 | + | 4.78646e33i | −1.26954 | + | 1.26954i | −0.323215 | + | 0.946326i | \(0.604764\pi\) |
−0.946326 | + | 0.323215i | \(0.895236\pi\) | |||||||
\(308\) | −6.04797e32 | − | 2.24605e33i | −0.153523 | − | 0.570145i | ||||
\(309\) | 4.92318e33 | + | 4.92318e33i | 1.19621 | + | 1.19621i | ||||
\(310\) | −2.23664e32 | + | 8.36787e32i | −0.0520251 | + | 0.194640i | ||||
\(311\) | − | 8.17994e33i | − | 1.82173i | −0.412701 | − | 0.910867i | \(-0.635415\pi\) | ||
0.412701 | − | 0.910867i | \(-0.364585\pi\) | |||||||
\(312\) | −4.31118e30 | − | 2.33118e33i | −0.000919410 | − | 0.497152i | ||||
\(313\) | 9.44940e33i | 1.92999i | 0.262261 | + | 0.964997i | \(0.415532\pi\) | ||||
−0.262261 | + | 0.964997i | \(0.584468\pi\) | |||||||
\(314\) | 7.06976e33 | + | 1.88967e33i | 1.38310 | + | 0.369688i | ||||
\(315\) | −4.86543e31 | − | 4.86543e31i | −0.00911861 | − | 0.00911861i | ||||
\(316\) | 1.87293e33 | − | 3.25326e33i | 0.336315 | − | 0.584176i | ||||
\(317\) | −2.40108e33 | + | 2.40108e33i | −0.413150 | + | 0.413150i | −0.882834 | − | 0.469685i | \(-0.844368\pi\) |
0.469685 | + | 0.882834i | \(0.344368\pi\) | |||||||
\(318\) | 4.96198e33 | + | 8.58218e33i | 0.818256 | + | 1.41525i | ||||
\(319\) | −4.48147e33 | −0.708347 | ||||||||
\(320\) | 1.16566e33 | + | 1.15707e33i | 0.176622 | + | 0.175321i | ||||
\(321\) | −1.16016e34 | −1.68539 | ||||||||
\(322\) | 6.09455e33 | + | 1.05411e34i | 0.848961 | + | 1.46835i | ||||
\(323\) | −6.20976e32 | + | 6.20976e32i | −0.0829546 | + | 0.0829546i | ||||
\(324\) | −3.76424e33 | + | 6.53846e33i | −0.482303 | + | 0.837757i | ||||
\(325\) | −2.72747e33 | − | 2.72747e33i | −0.335224 | − | 0.335224i | ||||
\(326\) | 5.05513e33 | + | 1.35118e33i | 0.596066 | + | 0.159322i | ||||
\(327\) | 3.01706e33i | 0.341341i | ||||||||
\(328\) | −1.01941e31 | − | 5.51224e33i | −0.00110675 | − | 0.598455i | ||||
\(329\) | 5.97623e33i | 0.622706i | ||||||||
\(330\) | 2.32536e32 | − | 8.69982e32i | 0.0232569 | − | 0.0870106i | ||||
\(331\) | −4.34123e32 | − | 4.34123e32i | −0.0416807 | − | 0.0416807i | 0.685959 | − | 0.727640i | \(-0.259383\pi\) |
−0.727640 | + | 0.685959i | \(0.759383\pi\) | |||||||
\(332\) | 9.21580e32 | + | 3.42250e33i | 0.0849510 | + | 0.315485i | ||||
\(333\) | 4.34368e32 | − | 4.34368e32i | 0.0384468 | − | 0.0384468i | ||||
\(334\) | 1.80610e34 | − | 1.04424e34i | 1.53520 | − | 0.887611i | ||||
\(335\) | −1.55174e33 | −0.126681 | ||||||||
\(336\) | 5.16292e33 | − | 1.94601e34i | 0.404870 | − | 1.52604i | ||||
\(337\) | −2.00111e34 | −1.50753 | −0.753767 | − | 0.657142i | \(-0.771765\pi\) | ||||
−0.753767 | + | 0.657142i | \(0.771765\pi\) | |||||||
\(338\) | 8.90575e33 | − | 5.14906e33i | 0.644607 | − | 0.372694i | ||||
\(339\) | 1.52929e34 | − | 1.52929e34i | 1.06364 | − | 1.06364i | ||||
\(340\) | 1.58599e33 | − | 4.27061e32i | 0.106007 | − | 0.0285446i | ||||
\(341\) | −3.27830e33 | − | 3.27830e33i | −0.210603 | − | 0.210603i | ||||
\(342\) | 3.59046e31 | − | 1.34329e32i | 0.00221717 | − | 0.00829503i | ||||
\(343\) | − | 1.55690e34i | − | 0.924249i | ||||||
\(344\) | 8.28852e32 | + | 8.25792e32i | 0.0473084 | + | 0.0471337i | ||||
\(345\) | 4.71394e33i | 0.258718i | ||||||||
\(346\) | 2.42424e34 | + | 6.47972e33i | 1.27952 | + | 0.342002i | ||||
\(347\) | 1.11424e34 | + | 1.11424e34i | 0.565628 | + | 0.565628i | 0.930901 | − | 0.365273i | \(-0.119024\pi\) |
−0.365273 | + | 0.930901i | \(0.619024\pi\) | |||||||
\(348\) | −3.36167e34 | − | 1.93534e34i | −1.64148 | − | 0.945013i | ||||
\(349\) | −1.81949e34 | + | 1.81949e34i | −0.854683 | + | 0.854683i | −0.990706 | − | 0.136022i | \(-0.956568\pi\) |
0.136022 | + | 0.990706i | \(0.456568\pi\) | |||||||
\(350\) | −1.66743e34 | − | 2.88397e34i | −0.753580 | − | 1.30338i | ||||
\(351\) | 1.18015e34 | 0.513204 | ||||||||
\(352\) | −8.48461e33 | + | 2.30150e33i | −0.355063 | + | 0.0963129i | ||||
\(353\) | −7.57777e33 | −0.305199 | −0.152599 | − | 0.988288i | \(-0.548764\pi\) | ||||
−0.152599 | + | 0.988288i | \(0.548764\pi\) | |||||||
\(354\) | 5.82566e32 | + | 1.00760e33i | 0.0225840 | + | 0.0390610i | ||||
\(355\) | −2.99386e32 | + | 2.99386e32i | −0.0111725 | + | 0.0111725i | ||||
\(356\) | −1.60013e34 | − | 9.21209e33i | −0.574885 | − | 0.330966i | ||||
\(357\) | −1.42369e34 | − | 1.42369e34i | −0.492487 | − | 0.492487i | ||||
\(358\) | −1.22989e34 | − | 3.28736e33i | −0.409681 | − | 0.109503i | ||||
\(359\) | − | 3.28159e34i | − | 1.05271i | −0.850264 | − | 0.526356i | \(-0.823558\pi\) | ||
0.850264 | − | 0.526356i | \(-0.176442\pi\) | |||||||
\(360\) | −1.83546e32 | + | 1.84226e32i | −0.00567103 | + | 0.00569204i | ||||
\(361\) | 3.12243e34i | 0.929277i | ||||||||
\(362\) | −1.14505e34 | + | 4.28394e34i | −0.328290 | + | 1.22822i | ||||
\(363\) | −2.17741e34 | − | 2.17741e34i | −0.601452 | − | 0.601452i | ||||
\(364\) | −2.94271e34 | + | 7.92386e33i | −0.783210 | + | 0.210896i | ||||
\(365\) | −5.61176e33 | + | 5.61176e33i | −0.143928 | + | 0.143928i | ||||
\(366\) | 2.00907e34 | − | 1.16159e34i | 0.496592 | − | 0.287116i | ||||
\(367\) | 1.71102e34 | 0.407627 | 0.203814 | − | 0.979010i | \(-0.434666\pi\) | ||||
0.203814 | + | 0.979010i | \(0.434666\pi\) | |||||||
\(368\) | 3.97968e34 | − | 2.31077e34i | 0.913908 | − | 0.530654i | ||||
\(369\) | 8.72788e32 | 0.0193220 | ||||||||
\(370\) | −1.69986e34 | + | 9.82814e33i | −0.362820 | + | 0.209772i | ||||
\(371\) | 9.16384e34 | − | 9.16384e34i | 1.88595 | − | 1.88595i | ||||
\(372\) | −1.04340e34 | − | 3.87489e34i | −0.207071 | − | 0.769006i | ||||
\(373\) | 1.61906e34 | + | 1.61906e34i | 0.309879 | + | 0.309879i | 0.844863 | − | 0.534983i | \(-0.179682\pi\) |
−0.534983 | + | 0.844863i | \(0.679682\pi\) | |||||||
\(374\) | −2.27018e33 | + | 8.49336e33i | −0.0419076 | + | 0.156788i | ||||
\(375\) | − | 2.66456e34i | − | 0.474463i | ||||||
\(376\) | 2.25869e34 | − | 4.17711e31i | 0.387989 | − | 0.000717530i | ||||
\(377\) | 5.87148e34i | 0.973059i | ||||||||
\(378\) | 9.84670e34 | + | 2.63191e34i | 1.57453 | + | 0.420854i | ||||
\(379\) | 5.85197e34 | + | 5.85197e34i | 0.902969 | + | 0.902969i | 0.995692 | − | 0.0927227i | \(-0.0295570\pi\) |
−0.0927227 | + | 0.995692i | \(0.529557\pi\) | |||||||
\(380\) | −2.21749e33 | + | 3.85176e33i | −0.0330205 | + | 0.0573563i | ||||
\(381\) | −2.35349e34 | + | 2.35349e34i | −0.338240 | + | 0.338240i | ||||
\(382\) | 3.96691e34 | + | 6.86112e34i | 0.550297 | + | 0.951787i | ||||
\(383\) | 6.29135e34 | 0.842481 | 0.421241 | − | 0.906949i | \(-0.361595\pi\) | ||||
0.421241 | + | 0.906949i | \(0.361595\pi\) | |||||||
\(384\) | −7.35845e34 | − | 1.93770e34i | −0.951295 | − | 0.250504i | ||||
\(385\) | −1.17724e34 | −0.146942 | ||||||||
\(386\) | −2.09591e34 | − | 3.62506e34i | −0.252606 | − | 0.436904i | ||||
\(387\) | −1.30995e32 | + | 1.30995e32i | −0.00152460 | + | 0.00152460i | ||||
\(388\) | −5.83950e34 | + | 1.01432e35i | −0.656368 | + | 1.14011i | ||||
\(389\) | 2.91144e34 | + | 2.91144e34i | 0.316073 | + | 0.316073i | 0.847257 | − | 0.531184i | \(-0.178253\pi\) |
−0.531184 | + | 0.847257i | \(0.678253\pi\) | |||||||
\(390\) | −1.13982e34 | − | 3.04662e33i | −0.119527 | − | 0.0319482i | ||||
\(391\) | − | 4.60207e34i | − | 0.466194i | ||||||
\(392\) | −1.61021e35 | + | 2.97785e32i | −1.57587 | + | 0.00291434i | ||||
\(393\) | 1.01156e33i | 0.00956519i | ||||||||
\(394\) | −1.65181e34 | + | 6.17986e34i | −0.150925 | + | 0.564651i | ||||
\(395\) | −1.34342e34 | − | 1.34342e34i | −0.118618 | − | 0.118618i | ||||
\(396\) | −3.61925e32 | − | 1.34409e33i | −0.00308840 | − | 0.0114695i | ||||
\(397\) | −3.35154e34 | + | 3.35154e34i | −0.276422 | + | 0.276422i | −0.831679 | − | 0.555257i | \(-0.812620\pi\) |
0.555257 | + | 0.831679i | \(0.312620\pi\) | |||||||
\(398\) | 7.27512e34 | − | 4.20627e34i | 0.579987 | − | 0.335333i | ||||
\(399\) | 5.44817e34 | 0.419872 | ||||||||
\(400\) | −1.08882e35 | + | 6.32213e34i | −0.811231 | + | 0.471035i | ||||
\(401\) | −1.58137e35 | −1.13916 | −0.569579 | − | 0.821937i | \(-0.692894\pi\) | ||||
−0.569579 | + | 0.821937i | \(0.692894\pi\) | |||||||
\(402\) | 6.22377e34 | − | 3.59841e34i | 0.433513 | − | 0.250645i | ||||
\(403\) | −4.29512e34 | + | 4.29512e34i | −0.289306 | + | 0.289306i | ||||
\(404\) | 1.18634e35 | − | 3.19446e34i | 0.772787 | − | 0.208089i | ||||
\(405\) | 2.70002e34 | + | 2.70002e34i | 0.170108 | + | 0.170108i | ||||
\(406\) | −1.30943e35 | + | 4.89894e35i | −0.797960 | + | 2.98539i | ||||
\(407\) | − | 1.05100e35i | − | 0.619551i | ||||||
\(408\) | −5.37082e34 | + | 5.39072e34i | −0.306287 | + | 0.307422i | ||||
\(409\) | − | 1.01544e35i | − | 0.560262i | −0.959962 | − | 0.280131i | \(-0.909622\pi\) | ||
0.959962 | − | 0.280131i | \(-0.0903778\pi\) | |||||||
\(410\) | −2.69519e34 | − | 7.20394e33i | −0.143882 | − | 0.0384581i | ||||
\(411\) | 2.12538e33 | + | 2.12538e33i | 0.0109793 | + | 0.0109793i | ||||
\(412\) | −2.98126e35 | − | 1.71633e35i | −1.49035 | − | 0.858004i | ||||
\(413\) | 1.07589e34 | − | 1.07589e34i | 0.0520525 | − | 0.0520525i | ||||
\(414\) | 3.64713e33 | + | 6.30803e33i | 0.0170784 | + | 0.0295385i | ||||
\(415\) | 1.79386e34 | 0.0813092 | ||||||||
\(416\) | 3.01535e34 | + | 1.11163e35i | 0.132305 | + | 0.487752i | ||||
\(417\) | 1.53534e35 | 0.652181 | ||||||||
\(418\) | −1.19074e34 | − | 2.05949e34i | −0.0489708 | − | 0.0846994i | ||||
\(419\) | 1.96727e35 | − | 1.96727e35i | 0.783383 | − | 0.783383i | −0.197017 | − | 0.980400i | \(-0.563125\pi\) |
0.980400 | + | 0.197017i | \(0.0631253\pi\) | |||||||
\(420\) | −8.83082e34 | − | 5.08397e34i | −0.340514 | − | 0.196037i | ||||
\(421\) | 1.76535e35 | + | 1.76535e35i | 0.659209 | + | 0.659209i | 0.955193 | − | 0.295984i | \(-0.0956474\pi\) |
−0.295984 | + | 0.955193i | \(0.595647\pi\) | |||||||
\(422\) | 1.30591e35 | + | 3.49054e34i | 0.472274 | + | 0.126233i | ||||
\(423\) | 3.57632e33i | 0.0125268i | ||||||||
\(424\) | −3.46983e35 | − | 3.45702e35i | −1.17725 | − | 1.17290i | ||||
\(425\) | 1.25910e35i | 0.413817i | ||||||||
\(426\) | 5.06527e33 | − | 1.89506e34i | 0.0161277 | − | 0.0603382i | ||||
\(427\) | −2.14523e35 | − | 2.14523e35i | −0.661756 | − | 0.661756i | ||||
\(428\) | 5.53501e35 | − | 1.49042e35i | 1.65435 | − | 0.445468i | ||||
\(429\) | 4.46551e34 | − | 4.46551e34i | 0.129330 | − | 0.129330i | ||||
\(430\) | 5.12639e33 | − | 2.96394e33i | 0.0143876 | − | 0.00831850i | ||||
\(431\) | 3.08951e35 | 0.840322 | 0.420161 | − | 0.907450i | \(-0.361974\pi\) | ||||
0.420161 | + | 0.907450i | \(0.361974\pi\) | |||||||
\(432\) | 9.87834e34 | − | 3.72335e35i | 0.260407 | − | 0.981529i | ||||
\(433\) | 6.37253e35 | 1.62827 | 0.814133 | − | 0.580678i | \(-0.197213\pi\) | ||||
0.814133 | + | 0.580678i | \(0.197213\pi\) | |||||||
\(434\) | −4.54157e35 | + | 2.62581e35i | −1.12485 | + | 0.650357i | ||||
\(435\) | −1.38818e35 | + | 1.38818e35i | −0.333305 | + | 0.333305i | ||||
\(436\) | −3.87590e34 | − | 1.43940e35i | −0.0902204 | − | 0.335054i | ||||
\(437\) | 8.80558e34 | + | 8.80558e34i | 0.198728 | + | 0.198728i | ||||
\(438\) | 9.49445e34 | − | 3.55213e35i | 0.207764 | − | 0.777300i | ||||
\(439\) | 5.41749e35i | 1.14955i | 0.818312 | + | 0.574774i | \(0.194910\pi\) | ||||
−0.818312 | + | 0.574774i | \(0.805090\pi\) | |||||||
\(440\) | 8.22838e31 | + | 4.44932e34i | 0.000169318 | + | 0.0915551i | ||||
\(441\) | − | 2.54955e34i | − | 0.0508794i | ||||||
\(442\) | 1.11277e35 | + | 2.97432e34i | 0.215380 | + | 0.0575687i | ||||
\(443\) | −3.88681e35 | − | 3.88681e35i | −0.729697 | − | 0.729697i | 0.240862 | − | 0.970559i | \(-0.422570\pi\) |
−0.970559 | + | 0.240862i | \(0.922570\pi\) | |||||||
\(444\) | 4.53878e35 | − | 7.88383e35i | 0.826550 | − | 1.43571i | ||||
\(445\) | −6.60766e34 | + | 6.60766e34i | −0.116731 | + | 0.116731i | ||||
\(446\) | 1.01566e34 | + | 1.75667e34i | 0.0174071 | + | 0.0301071i | ||||
\(447\) | −1.38554e34 | −0.0230392 | ||||||||
\(448\) | 3.67929e33 | + | 9.94747e35i | 0.00593623 | + | 1.60494i | ||||
\(449\) | −3.77145e35 | −0.590450 | −0.295225 | − | 0.955428i | \(-0.595395\pi\) | ||||
−0.295225 | + | 0.955428i | \(0.595395\pi\) | |||||||
\(450\) | −9.97832e33 | − | 1.72584e34i | −0.0151596 | − | 0.0262199i | ||||
\(451\) | 1.05590e35 | − | 1.05590e35i | 0.155683 | − | 0.155683i | ||||
\(452\) | −5.33146e35 | + | 9.26070e35i | −0.762916 | + | 1.32518i | ||||
\(453\) | −7.87555e35 | − | 7.87555e35i | −1.09384 | − | 1.09384i | ||||
\(454\) | 4.07810e35 | + | 1.09003e35i | 0.549799 | + | 0.146955i | ||||
\(455\) | 1.54239e35i | 0.201855i | ||||||||
\(456\) | −3.80802e32 | − | 2.05911e35i | −0.000483809 | − | 0.261610i | ||||
\(457\) | − | 9.14618e35i | − | 1.12816i | −0.825720 | − | 0.564080i | \(-0.809231\pi\) | ||
0.825720 | − | 0.564080i | \(-0.190769\pi\) | |||||||
\(458\) | 3.11092e35 | − | 1.16388e36i | 0.372568 | − | 1.39388i | ||||
\(459\) | −2.72398e35 | − | 2.72398e35i | −0.316762 | − | 0.316762i | ||||
\(460\) | −6.05582e34 | − | 2.24897e35i | −0.0683821 | − | 0.253953i | ||||
\(461\) | −1.11560e36 | + | 1.11560e36i | −1.22333 | + | 1.22333i | −0.256894 | + | 0.966440i | \(0.582699\pi\) |
−0.966440 | + | 0.256894i | \(0.917301\pi\) | |||||||
\(462\) | 4.72173e35 | − | 2.72997e35i | 0.502845 | − | 0.290731i | ||||
\(463\) | −6.55011e35 | −0.677494 | −0.338747 | − | 0.940878i | \(-0.610003\pi\) | ||||
−0.338747 | + | 0.940878i | \(0.610003\pi\) | |||||||
\(464\) | 1.85244e36 | + | 4.91468e35i | 1.86103 | + | 0.493745i | ||||
\(465\) | −2.03098e35 | −0.198194 | ||||||||
\(466\) | 2.96814e35 | − | 1.71610e35i | 0.281368 | − | 0.162679i | ||||
\(467\) | 8.69703e35 | − | 8.69703e35i | 0.800927 | − | 0.800927i | −0.182313 | − | 0.983240i | \(-0.558359\pi\) |
0.983240 | + | 0.182313i | \(0.0583585\pi\) | |||||||
\(468\) | −1.76099e34 | + | 4.74183e33i | −0.0157557 | + | 0.00424255i | ||||
\(469\) | −6.64559e35 | − | 6.64559e35i | −0.577697 | − | 0.577697i | ||||
\(470\) | 2.95188e34 | − | 1.10438e35i | 0.0249331 | − | 0.0932817i | ||||
\(471\) | 1.71591e36i | 1.40836i | ||||||||
\(472\) | −4.07378e34 | − | 4.05874e34i | −0.0324923 | − | 0.0323724i | ||||
\(473\) | 3.16956e34i | 0.0245682i | ||||||||
\(474\) | 8.50356e35 | + | 2.27290e35i | 0.640609 | + | 0.171228i | ||||
\(475\) | −2.40915e35 | − | 2.40915e35i | −0.176401 | − | 0.176401i | ||||
\(476\) | 8.62124e35 | + | 4.96331e35i | 0.613587 | + | 0.353247i | ||||
\(477\) | 5.48386e34 | − | 5.48386e34i | 0.0379392 | − | 0.0379392i | ||||
\(478\) | −1.45520e36 | − | 2.51689e36i | −0.978689 | − | 1.69273i | ||||
\(479\) | −5.54869e35 | −0.362795 | −0.181398 | − | 0.983410i | \(-0.558062\pi\) | ||||
−0.181398 | + | 0.983410i | \(0.558062\pi\) | |||||||
\(480\) | −1.91529e35 | + | 3.34111e35i | −0.121752 | + | 0.212390i | ||||
\(481\) | −1.37698e36 | −0.851081 | ||||||||
\(482\) | −7.66241e35 | − | 1.32528e36i | −0.460501 | − | 0.796477i | ||||
\(483\) | −2.01883e36 | + | 2.01883e36i | −1.17981 | + | 1.17981i | ||||
\(484\) | 1.31854e36 | + | 7.59095e35i | 0.749345 | + | 0.431403i | ||||
\(485\) | 4.18856e35 | + | 4.18856e35i | 0.231500 | + | 0.231500i | ||||
\(486\) | 1.16007e35 | + | 3.10074e34i | 0.0623584 | + | 0.0166677i | ||||
\(487\) | 1.84121e36i | 0.962636i | 0.876546 | + | 0.481318i | \(0.159842\pi\) | ||||
−0.876546 | + | 0.481318i | \(0.840158\pi\) | |||||||
\(488\) | −8.09279e35 | + | 8.12278e35i | −0.411558 | + | 0.413083i | ||||
\(489\) | 1.22694e36i | 0.606949i | ||||||||
\(490\) | −2.10438e35 | + | 7.87307e35i | −0.101269 | + | 0.378876i | ||||
\(491\) | 1.12746e36 | + | 1.12746e36i | 0.527836 | + | 0.527836i | 0.919927 | − | 0.392090i | \(-0.128248\pi\) |
−0.392090 | + | 0.919927i | \(0.628248\pi\) | |||||||
\(492\) | 1.24806e36 | − | 3.36065e35i | 0.568467 | − | 0.153072i | ||||
\(493\) | 1.35524e36 | − | 1.35524e36i | 0.600596 | − | 0.600596i | ||||
\(494\) | −2.69828e35 | + | 1.56007e35i | −0.116352 | + | 0.0672715i | ||||
\(495\) | −7.04490e33 | −0.00295600 | ||||||||
\(496\) | 9.95585e35 | + | 1.71463e36i | 0.406514 | + | 0.700111i | ||||
\(497\) | −2.56435e35 | −0.101898 | ||||||||
\(498\) | −7.19490e35 | + | 4.15989e35i | −0.278246 | + | 0.160874i | ||||
\(499\) | −2.19578e36 | + | 2.19578e36i | −0.826479 | + | 0.826479i | −0.987028 | − | 0.160549i | \(-0.948674\pi\) |
0.160549 | + | 0.987028i | \(0.448674\pi\) | |||||||
\(500\) | 3.42306e35 | + | 1.27123e36i | 0.125406 | + | 0.465725i | ||||
\(501\) | 3.45905e36 | + | 3.45905e36i | 1.23352 | + | 1.23352i | ||||
\(502\) | −1.19761e36 | + | 4.48058e36i | −0.415733 | + | 1.55537i | ||||
\(503\) | − | 4.88288e36i | − | 1.65009i | −0.565064 | − | 0.825047i | \(-0.691149\pi\) | ||
0.565064 | − | 0.825047i | \(-0.308851\pi\) | |||||||
\(504\) | −1.57505e35 | + | 2.91283e32i | −0.0518182 | + | 9.58303e-5i | ||||
\(505\) | − | 6.21805e35i | − | 0.199168i | ||||||
\(506\) | 1.20438e36 | + | 3.21916e35i | 0.375604 | + | 0.100395i | ||||
\(507\) | 1.70563e36 | + | 1.70563e36i | 0.517938 | + | 0.517938i | ||||
\(508\) | 8.20481e35 | − | 1.42517e36i | 0.242610 | − | 0.421412i | ||||
\(509\) | 3.60237e36 | − | 3.60237e36i | 1.03729 | − | 1.03729i | 0.0380079 | − | 0.999277i | \(-0.487899\pi\) |
0.999277 | − | 0.0380079i | \(-0.0121012\pi\) | |||||||
\(510\) | 1.92770e35 | + | 3.33412e35i | 0.0540557 | + | 0.0934941i | ||||
\(511\) | −4.80667e36 | −1.31269 | ||||||||
\(512\) | 3.75957e36 | − | 2.08585e34i | 0.999985 | − | 0.00554803i | ||||
\(513\) | 1.04241e36 | 0.270057 | ||||||||
\(514\) | −1.78199e36 | − | 3.08211e36i | −0.449680 | − | 0.777761i | ||||
\(515\) | −1.23109e36 | + | 1.23109e36i | −0.302617 | + | 0.302617i | ||||
\(516\) | −1.36879e35 | + | 2.37758e35i | −0.0327767 | + | 0.0569330i | ||||
\(517\) | 4.32664e35 | + | 4.32664e35i | 0.100932 | + | 0.100932i | ||||
\(518\) | −1.14890e37 | − | 3.07089e36i | −2.61115 | − | 0.697931i | ||||
\(519\) | 5.88390e36i | 1.30289i | ||||||||
\(520\) | 5.82936e35 | − | 1.07806e33i | 0.125770 | − | 0.000232593i | ||||
\(521\) | − | 4.71541e36i | − | 0.991312i | −0.868519 | − | 0.495656i | \(-0.834928\pi\) | ||
0.868519 | − | 0.495656i | \(-0.165072\pi\) | |||||||
\(522\) | −7.83595e34 | + | 2.93164e35i | −0.0160524 | + | 0.0600564i | ||||
\(523\) | 1.91592e36 | + | 1.91592e36i | 0.382477 | + | 0.382477i | 0.871994 | − | 0.489517i | \(-0.162827\pi\) |
−0.489517 | + | 0.871994i | \(0.662827\pi\) | |||||||
\(524\) | −1.29952e34 | − | 4.82606e34i | −0.00252819 | − | 0.00938901i | ||||
\(525\) | 5.52338e36 | − | 5.52338e36i | 1.04726 | − | 1.04726i | ||||
\(526\) | 9.95876e35 | − | 5.75788e35i | 0.184034 | − | 0.106403i | ||||
\(527\) | 1.98278e36 | 0.357134 | ||||||||
\(528\) | −1.03508e36 | − | 1.78265e36i | −0.181726 | − | 0.312973i | ||||
\(529\) | −6.82620e35 | −0.116823 | ||||||||
\(530\) | −2.14607e36 | + | 1.24080e36i | −0.358029 | + | 0.207003i | ||||
\(531\) | 6.43837e33 | − | 6.43837e33i | 0.00104713 | − | 0.00104713i | ||||
\(532\) | −2.59926e36 | + | 6.99907e35i | −0.412139 | + | 0.110977i | ||||
\(533\) | −1.38341e36 | − | 1.38341e36i | −0.213862 | − | 0.213862i | ||||
\(534\) | 1.11794e36 | − | 4.18252e36i | 0.168504 | − | 0.630421i | ||||
\(535\) | − | 2.90111e36i | − | 0.426371i | ||||||
\(536\) | −2.50702e36 | + | 2.51631e36i | −0.359280 | + | 0.360611i | ||||
\(537\) | − | 2.98508e36i | − | 0.417161i | ||||||
\(538\) | 1.07210e37 | + | 2.86560e36i | 1.46108 | + | 0.390530i | ||||
\(539\) | −3.08445e36 | − | 3.08445e36i | −0.409948 | − | 0.409948i | ||||
\(540\) | −1.68962e36 | − | 9.72727e35i | −0.219015 | − | 0.126088i | ||||
\(541\) | 8.14549e36 | − | 8.14549e36i | 1.02980 | − | 1.02980i | 0.0302608 | − | 0.999542i | \(-0.490366\pi\) |
0.999542 | − | 0.0302608i | \(-0.00963378\pi\) | |||||||
\(542\) | −5.73891e36 | − | 9.92595e36i | −0.707684 | − | 1.22400i | ||||
\(543\) | −1.03976e37 | −1.25065 | ||||||||
\(544\) | 1.86983e36 | − | 3.26182e36i | 0.219390 | − | 0.382715i | ||||
\(545\) | −7.54447e35 | −0.0863527 | ||||||||
\(546\) | −3.57673e36 | − | 6.18627e36i | −0.399379 | − | 0.690761i | ||||
\(547\) | 5.22456e36 | − | 5.22456e36i | 0.569142 | − | 0.569142i | −0.362746 | − | 0.931888i | \(-0.618161\pi\) |
0.931888 | + | 0.362746i | \(0.118161\pi\) | |||||||
\(548\) | −1.28704e35 | − | 7.40957e34i | −0.0136790 | − | 0.00787509i | ||||
\(549\) | −1.28376e35 | − | 1.28376e35i | −0.0133124 | − | 0.0133124i | ||||
\(550\) | −3.29510e36 | − | 8.80743e35i | −0.333405 | − | 0.0891154i | ||||
\(551\) | 5.18622e36i | 0.512041i | ||||||||
\(552\) | 7.64416e36 | + | 7.61594e36i | 0.736465 | + | 0.733746i | ||||
\(553\) | − | 1.15068e37i | − | 1.08185i | ||||||
\(554\) | −3.78042e36 | + | 1.41436e37i | −0.346863 | + | 1.29771i | ||||
\(555\) | −3.25558e36 | − | 3.25558e36i | −0.291523 | − | 0.291523i | ||||
\(556\) | −7.32494e36 | + | 1.97239e36i | −0.640169 | + | 0.172379i | ||||
\(557\) | 1.24729e37 | − | 1.24729e37i | 1.06395 | − | 1.06395i | 0.0661450 | − | 0.997810i | \(-0.478930\pi\) |
0.997810 | − | 0.0661450i | \(-0.0210700\pi\) | |||||||
\(558\) | −2.71778e35 | + | 1.57135e35i | −0.0226284 | + | 0.0130831i | ||||
\(559\) | 4.15266e35 | 0.0337495 | ||||||||
\(560\) | 4.86620e36 | + | 1.29104e36i | 0.386057 | + | 0.102424i | ||||
\(561\) | −2.06143e36 | −0.159651 | ||||||||
\(562\) | −4.25557e36 | + | 2.46045e36i | −0.321749 | + | 0.186027i | ||||
\(563\) | 6.46499e36 | − | 6.46499e36i | 0.477204 | − | 0.477204i | −0.427032 | − | 0.904236i | \(-0.640441\pi\) |
0.904236 | + | 0.427032i | \(0.140441\pi\) | |||||||
\(564\) | 1.37706e36 | + | 5.11401e36i | 0.0992393 | + | 0.368548i | ||||
\(565\) | 3.82415e36 | + | 3.82415e36i | 0.269080 | + | 0.269080i | ||||
\(566\) | −3.61966e36 | + | 1.35421e37i | −0.248683 | + | 0.930391i | ||||
\(567\) | 2.31266e37i | 1.55146i | ||||||||
\(568\) | 1.79236e33 | + | 9.69183e35i | 0.000117415 | + | 0.0634897i | ||||
\(569\) | 2.49481e37i | 1.59596i | 0.602686 | + | 0.797978i | \(0.294097\pi\) | ||||
−0.602686 | + | 0.797978i | \(0.705903\pi\) | |||||||
\(570\) | −1.00680e36 | − | 2.69105e35i | −0.0628971 | − | 0.0168117i | ||||
\(571\) | −2.51848e35 | − | 2.51848e35i | −0.0153656 | − | 0.0153656i | 0.699382 | − | 0.714748i | \(-0.253459\pi\) |
−0.714748 | + | 0.699382i | \(0.753459\pi\) | |||||||
\(572\) | −1.55678e36 | + | 2.70411e36i | −0.0927642 | + | 0.161131i | ||||
\(573\) | −1.31404e37 | + | 1.31404e37i | −0.764755 | + | 0.764755i | ||||
\(574\) | −8.45742e36 | − | 1.46279e37i | −0.480759 | − | 0.831515i | ||||
\(575\) | 1.78543e37 | 0.991348 | ||||||||
\(576\) | 2.20178e33 | + | 5.95280e35i | 0.000119418 | + | 0.0322863i | ||||
\(577\) | 2.93920e37 | 1.55724 | 0.778619 | − | 0.627497i | \(-0.215921\pi\) | ||||
0.778619 | + | 0.627497i | \(0.215921\pi\) | |||||||
\(578\) | 7.78878e36 | + | 1.34714e37i | 0.403129 | + | 0.697246i | ||||
\(579\) | 6.94271e36 | − | 6.94271e36i | 0.351050 | − | 0.351050i | ||||
\(580\) | 4.83952e36 | − | 8.40622e36i | 0.239070 | − | 0.415263i | ||||
\(581\) | 7.68253e36 | + | 7.68253e36i | 0.370789 | + | 0.370789i | ||||
\(582\) | −2.65128e37 | − | 7.08656e36i | −1.25024 | − | 0.334176i | ||||
\(583\) | − | 1.32688e37i | − | 0.611372i | ||||||
\(584\) | 3.35964e34 | + | 1.81666e37i | 0.00151258 | + | 0.817898i | ||||
\(585\) | 9.23000e34i | 0.00406067i | ||||||||
\(586\) | 3.28220e36 | − | 1.22796e37i | 0.141107 | − | 0.527918i | ||||
\(587\) | −1.47989e35 | − | 1.47989e35i | −0.00621747 | − | 0.00621747i | 0.703991 | − | 0.710209i | \(-0.251399\pi\) |
−0.710209 | + | 0.703991i | \(0.751399\pi\) | |||||||
\(588\) | −9.81699e36 | − | 3.64576e37i | −0.403074 | − | 1.49691i | ||||
\(589\) | −3.79384e36 | + | 3.79384e36i | −0.152238 | + | 0.152238i | ||||
\(590\) | −2.51961e35 | + | 1.45677e35i | −0.00988167 | + | 0.00571331i | ||||
\(591\) | −1.49992e37 | −0.574960 | ||||||||
\(592\) | −1.15260e37 | + | 4.34437e37i | −0.431851 | + | 1.62773i | ||||
\(593\) | −4.23155e37 | −1.54975 | −0.774874 | − | 0.632116i | \(-0.782187\pi\) | ||||
−0.774874 | + | 0.632116i | \(0.782187\pi\) | |||||||
\(594\) | 9.03420e36 | − | 5.22332e36i | 0.323424 | − | 0.186995i | ||||
\(595\) | 3.56009e36 | − | 3.56009e36i | 0.124590 | − | 0.124590i | ||||
\(596\) | 6.61025e35 | − | 1.77995e35i | 0.0226148 | − | 0.00608952i | ||||
\(597\) | 1.39333e37 | + | 1.39333e37i | 0.466016 | + | 0.466016i | ||||
\(598\) | 4.21765e36 | − | 1.57794e37i | 0.137913 | − | 0.515969i | ||||
\(599\) | 5.49505e37i | 1.75675i | 0.477974 | + | 0.878374i | \(0.341371\pi\) | ||||
−0.477974 | + | 0.878374i | \(0.658629\pi\) | |||||||
\(600\) | −2.09139e37 | − | 2.08367e37i | −0.653723 | − | 0.651310i | ||||
\(601\) | − | 1.72453e37i | − | 0.527066i | −0.964650 | − | 0.263533i | \(-0.915112\pi\) | ||
0.964650 | − | 0.263533i | \(-0.0848877\pi\) | |||||||
\(602\) | 3.46483e36 | + | 9.26109e35i | 0.103545 | + | 0.0276764i | ||||
\(603\) | −3.97688e35 | − | 3.97688e35i | −0.0116214 | − | 0.0116214i | ||||
\(604\) | 4.76908e37 | + | 2.74560e37i | 1.36281 | + | 0.784581i | ||||
\(605\) | 5.44484e36 | − | 5.44484e36i | 0.152156 | − | 0.152156i | ||||
\(606\) | 1.44194e37 | + | 2.49396e37i | 0.394064 | + | 0.681568i | ||||
\(607\) | 5.57558e37 | 1.49019 | 0.745096 | − | 0.666957i | \(-0.232404\pi\) | ||||
0.745096 | + | 0.666957i | \(0.232404\pi\) | |||||||
\(608\) | 2.66343e36 | + | 9.81889e36i | 0.0696214 | + | 0.256664i | ||||
\(609\) | −1.18903e38 | −3.03990 | ||||||||
\(610\) | 2.90467e36 | + | 5.02389e36i | 0.0726347 | + | 0.125628i | ||||
\(611\) | 5.66863e36 | − | 5.66863e36i | 0.138651 | − | 0.138651i | ||||
\(612\) | 5.15916e35 | + | 2.97017e35i | 0.0123434 | + | 0.00710619i | ||||
\(613\) | −4.97190e36 | − | 4.97190e36i | −0.116361 | − | 0.116361i | 0.646529 | − | 0.762890i | \(-0.276220\pi\) |
−0.762890 | + | 0.646529i | \(0.776220\pi\) | |||||||
\(614\) | 7.57618e37 | + | 2.02503e37i | 1.73451 | + | 0.463615i | ||||
\(615\) | − | 6.54154e36i | − | 0.146509i | ||||||
\(616\) | −1.90198e37 | + | 1.90902e37i | −0.416740 | + | 0.418285i | ||||
\(617\) | − | 1.59253e37i | − | 0.341379i | −0.985325 | − | 0.170689i | \(-0.945401\pi\) | ||
0.985325 | − | 0.170689i | \(-0.0545995\pi\) | |||||||
\(618\) | 2.08287e37 | − | 7.79258e37i | 0.436835 | − | 1.63432i | ||||
\(619\) | −5.19437e37 | − | 5.19437e37i | −1.06588 | − | 1.06588i | −0.997671 | − | 0.0682110i | \(-0.978271\pi\) |
−0.0682110 | − | 0.997671i | \(-0.521729\pi\) | |||||||
\(620\) | 9.68957e36 | − | 2.60912e36i | 0.194543 | − | 0.0523849i | ||||
\(621\) | −3.86267e37 | + | 3.86267e37i | −0.758841 | + | 0.758841i | ||||
\(622\) | −8.20410e37 | + | 4.74338e37i | −1.57711 | + | 0.911839i | ||||
\(623\) | −5.65969e37 | −1.06464 | ||||||||
\(624\) | −2.33557e37 | + | 1.35613e37i | −0.429933 | + | 0.249637i | ||||
\(625\) | −4.54102e37 | −0.818037 | ||||||||
\(626\) | 9.47732e37 | − | 5.47952e37i | 1.67083 | − | 0.966027i | ||||
\(627\) | 3.94434e36 | − | 3.94434e36i | 0.0680554 | − | 0.0680554i | ||||
\(628\) | −2.20437e37 | − | 8.18642e37i | −0.372245 | − | 1.38242i | ||||
\(629\) | 3.17832e37 | + | 3.17832e37i | 0.525308 | + | 0.525308i | ||||
\(630\) | −2.05843e35 | + | 7.70117e35i | −0.00332996 | + | 0.0124583i | ||||
\(631\) | 1.50618e37i | 0.238496i | 0.992865 | + | 0.119248i | \(0.0380483\pi\) | ||||
−0.992865 | + | 0.119248i | \(0.961952\pi\) | |||||||
\(632\) | −4.34895e37 | + | 8.04275e34i | −0.674068 | + | 0.00124659i | ||||
\(633\) | 3.16958e37i | 0.480897i | ||||||||
\(634\) | 3.80052e37 | + | 1.01583e37i | 0.564466 | + | 0.150875i | ||||
\(635\) | −5.88515e36 | − | 5.88515e36i | −0.0855682 | − | 0.0855682i | ||||
\(636\) | 5.73018e37 | − | 9.95328e37i | 0.815637 | − | 1.41676i | ||||
\(637\) | −4.04115e37 | + | 4.04115e37i | −0.563148 | + | 0.563148i | ||||
\(638\) | 2.59871e37 | + | 4.49470e37i | 0.354552 | + | 0.613228i | ||||
\(639\) | −1.53457e35 | −0.00204986 | ||||||||
\(640\) | 4.84542e36 | − | 1.84006e37i | 0.0633726 | − | 0.240659i | ||||
\(641\) | 8.00815e37 | 1.02553 | 0.512765 | − | 0.858529i | \(-0.328621\pi\) | ||||
0.512765 | + | 0.858529i | \(0.328621\pi\) | |||||||
\(642\) | 6.72755e37 | + | 1.16359e38i | 0.843595 | + | 1.45907i | ||||
\(643\) | 7.28689e37 | − | 7.28689e37i | 0.894735 | − | 0.894735i | −0.100230 | − | 0.994964i | \(-0.531958\pi\) |
0.994964 | + | 0.100230i | \(0.0319578\pi\) | |||||||
\(644\) | 7.03809e37 | − | 1.22251e38i | 0.846244 | − | 1.46992i | ||||
\(645\) | 9.81807e35 | + | 9.81807e35i | 0.0115603 | + | 0.0115603i | ||||
\(646\) | 9.82902e36 | + | 2.62718e36i | 0.113337 | + | 0.0302936i | ||||
\(647\) | 8.15309e36i | 0.0920692i | 0.998940 | + | 0.0460346i | \(0.0146584\pi\) | ||||
−0.998940 | + | 0.0460346i | \(0.985342\pi\) | |||||||
\(648\) | 8.74059e37 | − | 1.61644e35i | 0.966669 | − | 0.00178771i | ||||
\(649\) | − | 1.55783e36i | − | 0.0168740i | ||||||
\(650\) | −1.15392e37 | + | 4.31714e37i | −0.122418 | + | 0.458000i | ||||
\(651\) | −8.69802e37 | − | 8.69802e37i | −0.903809 | − | 0.903809i | ||||
\(652\) | −1.57620e37 | − | 5.85358e37i | −0.160424 | − | 0.595770i | ||||
\(653\) | 4.01892e37 | − | 4.01892e37i | 0.400665 | − | 0.400665i | −0.477802 | − | 0.878467i | \(-0.658566\pi\) |
0.878467 | + | 0.477802i | \(0.158566\pi\) | |||||||
\(654\) | 3.02597e37 | − | 1.74953e37i | 0.295505 | − | 0.170853i | ||||
\(655\) | −2.52952e35 | −0.00241981 | ||||||||
\(656\) | −5.52261e37 | + | 3.20666e37i | −0.517538 | + | 0.300505i | ||||
\(657\) | −2.87643e36 | −0.0264071 | ||||||||
\(658\) | 5.99388e37 | − | 3.46550e37i | 0.539087 | − | 0.311685i | ||||
\(659\) | 9.00593e37 | − | 9.00593e37i | 0.793552 | − | 0.793552i | −0.188518 | − | 0.982070i | \(-0.560368\pi\) |
0.982070 | + | 0.188518i | \(0.0603682\pi\) | |||||||
\(660\) | −1.00740e37 | + | 2.71262e36i | −0.0869675 | + | 0.0234178i | ||||
\(661\) | 1.26696e38 | + | 1.26696e38i | 1.07163 | + | 1.07163i | 0.997228 | + | 0.0744009i | \(0.0237045\pi\) |
0.0744009 | + | 0.997228i | \(0.476296\pi\) | |||||||
\(662\) | −1.83666e36 | + | 6.87145e36i | −0.0152211 | + | 0.0569463i | ||||
\(663\) | 2.70083e37i | 0.219313i | ||||||||
\(664\) | 2.89820e37 | − | 2.90894e37i | 0.230600 | − | 0.231455i | ||||
\(665\) | 1.36237e37i | 0.106219i | ||||||||
\(666\) | −6.87532e36 | − | 1.83769e36i | −0.0525280 | − | 0.0140401i | ||||
\(667\) | −1.92176e38 | − | 1.92176e38i | −1.43880 | − | 1.43880i | ||||
\(668\) | −2.09465e38 | − | 1.20590e38i | −1.53684 | − | 0.884771i | ||||
\(669\) | −3.36437e36 | + | 3.36437e36i | −0.0241909 | + | 0.0241909i | ||||
\(670\) | 8.99821e36 | + | 1.55632e37i | 0.0634084 | + | 0.109670i | ||||
\(671\) | −3.10619e37 | −0.214523 | ||||||||
\(672\) | −2.25115e38 | + | 6.10636e37i | −1.52377 | + | 0.413330i | ||||
\(673\) | −2.18110e38 | −1.44701 | −0.723506 | − | 0.690318i | \(-0.757471\pi\) | ||||
−0.723506 | + | 0.690318i | \(0.757471\pi\) | |||||||
\(674\) | 1.16040e38 | + | 2.00702e38i | 0.754571 | + | 1.30510i | ||||
\(675\) | 1.05680e38 | − | 1.05680e38i | 0.673585 | − | 0.673585i | ||||
\(676\) | −1.03285e38 | − | 5.94622e37i | −0.645295 | − | 0.371501i | ||||
\(677\) | 8.33269e36 | + | 8.33269e36i | 0.0510315 | + | 0.0510315i | 0.732162 | − | 0.681131i | \(-0.238511\pi\) |
−0.681131 | + | 0.732162i | \(0.738511\pi\) | |||||||
\(678\) | −2.42061e38 | − | 6.47002e37i | −1.45320 | − | 0.388423i | ||||
\(679\) | 3.58765e38i | 2.11139i | ||||||||
\(680\) | −1.34801e37 | − | 1.34303e37i | −0.0777717 | − | 0.0774846i | ||||
\(681\) | 9.89801e37i | 0.559837i | ||||||||
\(682\) | −1.38696e37 | + | 5.18900e37i | −0.0769086 | + | 0.287736i | ||||
\(683\) | 1.18619e38 | + | 1.18619e38i | 0.644876 | + | 0.644876i | 0.951750 | − | 0.306874i | \(-0.0992831\pi\) |
−0.306874 | + | 0.951750i | \(0.599283\pi\) | |||||||
\(684\) | −1.55546e36 | + | 4.18841e35i | −0.00829091 | + | 0.00223250i | ||||
\(685\) | −5.31475e35 | + | 5.31475e35i | −0.00277754 | + | 0.00277754i | ||||
\(686\) | −1.56149e38 | + | 9.02813e37i | −0.800138 | + | 0.462618i | ||||
\(687\) | 2.82487e38 | 1.41933 | ||||||||
\(688\) | 3.47596e36 | − | 1.31016e37i | 0.0171250 | − | 0.0645477i | ||||
\(689\) | −1.73843e38 | −0.839844 | ||||||||
\(690\) | 4.72786e37 | − | 2.73352e37i | 0.223976 | − | 0.129497i | ||||
\(691\) | 1.42316e38 | − | 1.42316e38i | 0.661151 | − | 0.661151i | −0.294500 | − | 0.955651i | \(-0.595153\pi\) |
0.955651 | + | 0.294500i | \(0.0951531\pi\) | |||||||
\(692\) | −7.55883e37 | − | 2.80715e38i | −0.344368 | − | 1.27889i | ||||
\(693\) | −3.01710e36 | − | 3.01710e36i | −0.0134800 | − | 0.0134800i | ||||
\(694\) | 4.71406e37 | − | 1.76366e38i | 0.206558 | − | 0.772790i | ||||
\(695\) | 3.83928e37i | 0.164989i | ||||||||
\(696\) | 8.31076e35 | + | 4.49387e38i | 0.00350281 | + | 1.89407i | ||||
\(697\) | 6.38629e37i | 0.264001i | ||||||||
\(698\) | 2.87994e38 | + | 7.69776e37i | 1.16771 | + | 0.312116i | ||||
\(699\) | 5.68459e37 | + | 5.68459e37i | 0.226077 | + | 0.226077i | ||||
\(700\) | −1.92558e38 | + | 3.34471e38i | −0.751169 | + | 1.30477i | ||||
\(701\) | 4.87512e36 | − | 4.87512e36i | 0.0186548 | − | 0.0186548i | −0.697718 | − | 0.716373i | \(-0.745801\pi\) |
0.716373 | + | 0.697718i | \(0.245801\pi\) | |||||||
\(702\) | −6.84344e37 | − | 1.18363e38i | −0.256876 | − | 0.444289i | ||||
\(703\) | −1.21628e38 | −0.447853 | ||||||||
\(704\) | 7.22835e37 | + | 7.17508e37i | 0.261101 | + | 0.259177i | ||||
\(705\) | 2.68045e37 | 0.0949849 | ||||||||
\(706\) | 4.39420e37 | + | 7.60015e37i | 0.152762 | + | 0.264216i | ||||
\(707\) | 2.66299e38 | − | 2.66299e38i | 0.908254 | − | 0.908254i | ||||
\(708\) | 6.72756e36 | − | 1.16857e37i | 0.0225117 | − | 0.0391027i | ||||
\(709\) | 1.72511e38 | + | 1.72511e38i | 0.566362 | + | 0.566362i | 0.931107 | − | 0.364746i | \(-0.118844\pi\) |
−0.364746 | + | 0.931107i | \(0.618844\pi\) | |||||||
\(710\) | 4.73879e36 | + | 1.26662e36i | 0.0152644 | + | 0.00408000i | ||||
\(711\) | − | 6.88597e36i | − | 0.0217633i | ||||||
\(712\) | 3.95586e35 | + | 2.13905e38i | 0.00122677 | + | 0.663348i | ||||
\(713\) | − | 2.81162e38i | − | 0.855556i | ||||||
\(714\) | −6.02326e37 | + | 2.25347e38i | −0.179848 | + | 0.672861i | ||||
\(715\) | 1.11665e37 | + | 1.11665e37i | 0.0327178 | + | 0.0327178i | ||||
\(716\) | 3.83483e37 | + | 1.42415e38i | 0.110260 | + | 0.409478i | ||||
\(717\) | 4.82035e38 | − | 4.82035e38i | 1.36010 | − | 1.36010i | ||||
\(718\) | −3.29129e38 | + | 1.90293e38i | −0.911351 | + | 0.526918i | ||||
\(719\) | 1.03369e38 | 0.280899 | 0.140449 | − | 0.990088i | \(-0.455145\pi\) | ||||
0.140449 | + | 0.990088i | \(0.455145\pi\) | |||||||
\(720\) | 2.91205e36 | + | 7.72592e35i | 0.00776624 | + | 0.00206045i | ||||
\(721\) | −1.05448e39 | −2.76001 | ||||||||
\(722\) | 3.13165e38 | − | 1.81063e38i | 0.804491 | − | 0.465134i | ||||
\(723\) | 2.53818e38 | − | 2.53818e38i | 0.639964 | − | 0.639964i | ||||
\(724\) | 4.96058e38 | − | 1.33574e38i | 1.22761 | − | 0.330561i | ||||
\(725\) | 5.25781e38 | + | 5.25781e38i | 1.27715 | + | 1.27715i | ||||
\(726\) | −9.21204e37 | + | 3.44648e38i | −0.219640 | + | 0.821734i | ||||
\(727\) | − | 7.47472e37i | − | 0.174936i | −0.996167 | − | 0.0874682i | \(-0.972122\pi\) | ||
0.996167 | − | 0.0874682i | \(-0.0278776\pi\) | |||||||
\(728\) | 2.50114e38 | + | 2.49191e38i | 0.574599 | + | 0.572478i | ||||
\(729\) | 4.56804e38i | 1.03017i | ||||||||
\(730\) | 8.88249e37 | + | 2.37419e37i | 0.196642 | + | 0.0525601i | ||||
\(731\) | −9.58507e36 | − | 9.58507e36i | −0.0208310 | − | 0.0208310i | ||||
\(732\) | −2.33004e38 | − | 1.34142e38i | −0.497122 | − | 0.286197i | ||||
\(733\) | 8.00218e37 | − | 8.00218e37i | 0.167612 | − | 0.167612i | −0.618317 | − | 0.785929i | \(-0.712185\pi\) |
0.785929 | + | 0.618317i | \(0.212185\pi\) | |||||||
\(734\) | −9.92187e37 | − | 1.71607e38i | −0.204031 | − | 0.352890i | ||||
\(735\) | −1.91088e38 | −0.385794 | ||||||||
\(736\) | −4.62534e38 | − | 2.65146e38i | −0.916839 | − | 0.525576i | ||||
\(737\) | −9.62247e37 | −0.187273 | ||||||||
\(738\) | −5.06113e36 | − | 8.75366e36i | −0.00967133 | − | 0.0167274i | ||||
\(739\) | −3.01672e38 | + | 3.01672e38i | −0.566025 | + | 0.566025i | −0.931012 | − | 0.364987i | \(-0.881073\pi\) |
0.364987 | + | 0.931012i | \(0.381073\pi\) | |||||||
\(740\) | 1.97143e38 | + | 1.13497e38i | 0.363207 | + | 0.209101i | ||||
\(741\) | −5.16775e37 | − | 5.16775e37i | −0.0934880 | − | 0.0934880i | ||||
\(742\) | −1.45048e39 | − | 3.87698e38i | −2.57668 |