Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,10,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), 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: | \(5.66539419780\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 11.4 |
Dual form | 11.10.c.a.3.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 12.1558 | + | 8.83167i | 0.537214 | + | 0.390308i | 0.823049 | − | 0.567970i | \(-0.192271\pi\) |
−0.285836 | + | 0.958279i | \(0.592271\pi\) | |||||||
\(3\) | 13.4151 | − | 41.2873i | 0.0956197 | − | 0.294287i | −0.891795 | − | 0.452440i | \(-0.850554\pi\) |
0.987415 | + | 0.158153i | \(0.0505538\pi\) | |||||||
\(4\) | −88.4528 | − | 272.230i | −0.172759 | − | 0.531698i | ||||
\(5\) | 1436.78 | − | 1043.88i | 1.02808 | − | 0.746943i | 0.0601557 | − | 0.998189i | \(-0.480840\pi\) |
0.967923 | + | 0.251246i | \(0.0808403\pi\) | |||||||
\(6\) | 527.706 | − | 383.401i | 0.166231 | − | 0.120774i | ||||
\(7\) | 741.893 | + | 2283.31i | 0.116788 | + | 0.359438i | 0.992316 | − | 0.123731i | \(-0.0394859\pi\) |
−0.875527 | + | 0.483168i | \(0.839486\pi\) | |||||||
\(8\) | 3706.29 | − | 11406.8i | 0.319915 | − | 0.984597i | ||||
\(9\) | 14399.2 | + | 10461.6i | 0.731555 | + | 0.531506i | ||||
\(10\) | 26684.4 | 0.843836 | ||||||||
\(11\) | −16035.3 | − | 45834.7i | −0.330225 | − | 0.943902i | ||||
\(12\) | −12426.2 | −0.172991 | ||||||||
\(13\) | 16675.3 | + | 12115.3i | 0.161930 | + | 0.117649i | 0.665799 | − | 0.746131i | \(-0.268091\pi\) |
−0.503869 | + | 0.863780i | \(0.668091\pi\) | |||||||
\(14\) | −11147.2 | + | 34307.5i | −0.0775513 | + | 0.238678i | ||||
\(15\) | −23824.7 | − | 73324.8i | −0.121511 | − | 0.373973i | ||||
\(16\) | 27228.8 | − | 19782.9i | 0.103870 | − | 0.0754658i | ||||
\(17\) | −507763. | + | 368911.i | −1.47449 | + | 1.07128i | −0.495203 | + | 0.868777i | \(0.664906\pi\) |
−0.979282 | + | 0.202499i | \(0.935094\pi\) | |||||||
\(18\) | 82639.5 | + | 254338.i | 0.185550 | + | 0.571064i | ||||
\(19\) | −87351.0 | + | 268839.i | −0.153772 | + | 0.473261i | −0.998034 | − | 0.0626688i | \(-0.980039\pi\) |
0.844263 | + | 0.535930i | \(0.180039\pi\) | |||||||
\(20\) | −411264. | − | 298801.i | −0.574759 | − | 0.417587i | ||||
\(21\) | 104224. | 0.116945 | ||||||||
\(22\) | 209876. | − | 698773.i | 0.191012 | − | 0.635967i | ||||
\(23\) | 1.63395e6 | 1.21748 | 0.608742 | − | 0.793368i | \(-0.291674\pi\) | ||||
0.608742 | + | 0.793368i | \(0.291674\pi\) | |||||||
\(24\) | −421236. | − | 306046.i | −0.259164 | − | 0.188294i | ||||
\(25\) | 371104. | − | 1.14214e6i | 0.190005 | − | 0.584777i | ||||
\(26\) | 95702.2 | + | 294541.i | 0.0410716 | + | 0.126405i | ||||
\(27\) | 1.31639e6 | − | 956412.i | 0.476702 | − | 0.346344i | ||||
\(28\) | 555962. | − | 403930.i | 0.170936 | − | 0.124192i | ||||
\(29\) | 772434. | + | 2.37731e6i | 0.202801 | + | 0.624158i | 0.999797 | + | 0.0201725i | \(0.00642156\pi\) |
−0.796995 | + | 0.603986i | \(0.793578\pi\) | |||||||
\(30\) | 357974. | − | 1.10173e6i | 0.0806873 | − | 0.248330i | ||||
\(31\) | 2.14690e6 | + | 1.55981e6i | 0.417526 | + | 0.303351i | 0.776642 | − | 0.629942i | \(-0.216922\pi\) |
−0.359115 | + | 0.933293i | \(0.616922\pi\) | |||||||
\(32\) | −5.63513e6 | −0.950012 | ||||||||
\(33\) | −2.10751e6 | + | 47179.1i | −0.309354 | + | 0.00692527i | ||||
\(34\) | −9.43034e6 | −1.21024 | ||||||||
\(35\) | 3.44945e6 | + | 2.50617e6i | 0.388547 | + | 0.282296i | ||||
\(36\) | 1.57432e6 | − | 4.84525e6i | 0.156218 | − | 0.480789i | ||||
\(37\) | 4.75055e6 | + | 1.46207e7i | 0.416712 | + | 1.28251i | 0.910711 | + | 0.413045i | \(0.135535\pi\) |
−0.493999 | + | 0.869462i | \(0.664465\pi\) | |||||||
\(38\) | −3.43611e6 | + | 2.49648e6i | −0.267326 | + | 0.194224i | ||||
\(39\) | 723908. | − | 525950.i | 0.0501063 | − | 0.0364044i | ||||
\(40\) | −6.58224e6 | − | 2.02580e7i | −0.406540 | − | 1.25120i | ||||
\(41\) | −314654. | + | 968404.i | −0.0173902 | + | 0.0535216i | −0.959375 | − | 0.282134i | \(-0.908958\pi\) |
0.941985 | + | 0.335655i | \(0.108958\pi\) | |||||||
\(42\) | 1.26693e6 | + | 920475.i | 0.0628245 | + | 0.0456447i | ||||
\(43\) | −1.57589e7 | −0.702940 | −0.351470 | − | 0.936199i | \(-0.614318\pi\) | ||||
−0.351470 | + | 0.936199i | \(0.614318\pi\) | |||||||
\(44\) | −1.10592e7 | + | 8.41948e6i | −0.444822 | + | 0.338648i | ||||
\(45\) | 3.16093e7 | 1.14910 | ||||||||
\(46\) | 1.98619e7 | + | 1.44305e7i | 0.654049 | + | 0.475194i | ||||
\(47\) | 4.36297e6 | − | 1.34278e7i | 0.130419 | − | 0.401389i | −0.864430 | − | 0.502753i | \(-0.832321\pi\) |
0.994849 | + | 0.101364i | \(0.0323206\pi\) | |||||||
\(48\) | −451507. | − | 1.38959e6i | −0.0122766 | − | 0.0377835i | ||||
\(49\) | 2.79836e7 | − | 2.03313e7i | 0.693461 | − | 0.503829i | ||||
\(50\) | 1.45981e7 | − | 1.06061e7i | 0.330317 | − | 0.239989i | ||||
\(51\) | 8.41968e6 | + | 2.59131e7i | 0.174273 | + | 0.536357i | ||||
\(52\) | 1.82317e6 | − | 5.61114e6i | 0.0345789 | − | 0.106423i | ||||
\(53\) | −4.82226e7 | − | 3.50358e7i | −0.839478 | − | 0.609916i | 0.0827471 | − | 0.996571i | \(-0.473631\pi\) |
−0.922225 | + | 0.386654i | \(0.873631\pi\) | |||||||
\(54\) | 2.44484e7 | 0.391272 | ||||||||
\(55\) | −7.08854e7 | − | 4.91155e7i | −1.04454 | − | 0.723747i | ||||
\(56\) | 2.87949e7 | 0.391264 | ||||||||
\(57\) | 9.92781e6 | + | 7.21298e6i | 0.124571 | + | 0.0905061i | ||||
\(58\) | −1.16061e7 | + | 3.57199e7i | −0.134667 | + | 0.414461i | ||||
\(59\) | 2.19532e7 | + | 6.75649e7i | 0.235865 | + | 0.725917i | 0.997006 | + | 0.0773303i | \(0.0246396\pi\) |
−0.761141 | + | 0.648587i | \(0.775360\pi\) | |||||||
\(60\) | −1.78538e7 | + | 1.29716e7i | −0.177849 | + | 0.129215i | ||||
\(61\) | −9.45200e7 | + | 6.86728e7i | −0.874057 | + | 0.635039i | −0.931672 | − | 0.363300i | \(-0.881650\pi\) |
0.0576158 | + | 0.998339i | \(0.481650\pi\) | |||||||
\(62\) | 1.23214e7 | + | 3.79214e7i | 0.105900 | + | 0.325928i | ||||
\(63\) | −1.32045e7 | + | 4.06393e7i | −0.105606 | + | 0.325022i | ||||
\(64\) | −8.24404e7 | − | 5.98965e7i | −0.614229 | − | 0.446263i | ||||
\(65\) | 3.66057e7 | 0.254354 | ||||||||
\(66\) | −2.60350e7 | − | 1.80393e7i | −0.168892 | − | 0.117023i | ||||
\(67\) | −2.19426e8 | −1.33030 | −0.665152 | − | 0.746708i | \(-0.731633\pi\) | ||||
−0.665152 | + | 0.746708i | \(0.731633\pi\) | |||||||
\(68\) | 1.45342e8 | + | 1.05597e8i | 0.824327 | + | 0.598909i | ||||
\(69\) | 2.19195e7 | − | 6.74614e7i | 0.116415 | − | 0.358290i | ||||
\(70\) | 1.97970e7 | + | 6.09289e7i | 0.0985503 | + | 0.303307i | ||||
\(71\) | 3.30384e8 | − | 2.40038e8i | 1.54296 | − | 1.12103i | 0.594523 | − | 0.804079i | \(-0.297341\pi\) |
0.948442 | − | 0.316951i | \(-0.102659\pi\) | |||||||
\(72\) | 1.72701e8 | − | 1.25475e8i | 0.757355 | − | 0.550251i | ||||
\(73\) | −5.87823e7 | − | 1.80913e8i | −0.242267 | − | 0.745620i | −0.996074 | − | 0.0885246i | \(-0.971785\pi\) |
0.753807 | − | 0.657096i | \(-0.228215\pi\) | |||||||
\(74\) | −7.13786e7 | + | 2.19681e8i | −0.276710 | + | 0.851626i | ||||
\(75\) | −4.21776e7 | − | 3.06438e7i | −0.153924 | − | 0.111832i | ||||
\(76\) | 8.09123e7 | 0.278198 | ||||||||
\(77\) | 9.27583e7 | − | 7.06180e7i | 0.300708 | − | 0.228932i | ||||
\(78\) | 1.34447e7 | 0.0411268 | ||||||||
\(79\) | −1.95362e8 | − | 1.41939e8i | −0.564310 | − | 0.409995i | 0.268724 | − | 0.963217i | \(-0.413398\pi\) |
−0.833034 | + | 0.553222i | \(0.813398\pi\) | |||||||
\(80\) | 1.84709e7 | − | 5.68475e7i | 0.0504176 | − | 0.155170i | ||||
\(81\) | 8.64284e7 | + | 2.65999e8i | 0.223087 | + | 0.686590i | ||||
\(82\) | −1.23775e7 | + | 8.99277e6i | −0.0302322 | + | 0.0219650i | ||||
\(83\) | 5.61623e8 | − | 4.08043e8i | 1.29895 | − | 0.943745i | 0.299009 | − | 0.954250i | \(-0.403344\pi\) |
0.999945 | + | 0.0105051i | \(0.00334393\pi\) | |||||||
\(84\) | −9.21893e6 | − | 2.83730e7i | −0.0202034 | − | 0.0621796i | ||||
\(85\) | −3.44444e8 | + | 1.06009e9i | −0.715705 | + | 2.20271i | ||||
\(86\) | −1.91562e8 | − | 1.39178e8i | −0.377629 | − | 0.274364i | ||||
\(87\) | 1.08515e8 | 0.203073 | ||||||||
\(88\) | −5.82258e8 | + | 1.30346e7i | −1.03501 | + | 0.0231699i | ||||
\(89\) | −8.87682e8 | −1.49969 | −0.749846 | − | 0.661612i | \(-0.769873\pi\) | ||||
−0.749846 | + | 0.661612i | \(0.769873\pi\) | |||||||
\(90\) | 3.84235e8 | + | 2.79163e8i | 0.617313 | + | 0.448504i | ||||
\(91\) | −1.52917e7 | + | 4.70631e7i | −0.0233760 | + | 0.0719439i | ||||
\(92\) | −1.44527e8 | − | 4.44810e8i | −0.210332 | − | 0.647335i | ||||
\(93\) | 9.32013e7 | − | 6.77147e7i | 0.129196 | − | 0.0938663i | ||||
\(94\) | 1.71625e8 | − | 1.24693e8i | 0.226729 | − | 0.164728i | ||||
\(95\) | 1.55132e8 | + | 4.77448e8i | 0.195409 | + | 0.601408i | ||||
\(96\) | −7.55956e7 | + | 2.32659e8i | −0.0908398 | + | 0.279576i | ||||
\(97\) | −7.90895e8 | − | 5.74619e8i | −0.907081 | − | 0.659033i | 0.0331942 | − | 0.999449i | \(-0.489432\pi\) |
−0.940275 | + | 0.340416i | \(0.889432\pi\) | |||||||
\(98\) | 5.19722e8 | 0.569185 | ||||||||
\(99\) | 2.48610e8 | − | 8.27738e8i | 0.260112 | − | 0.866033i | ||||
\(100\) | −3.43750e8 | −0.343750 | ||||||||
\(101\) | 1.41664e9 | + | 1.02925e9i | 1.35461 | + | 0.984183i | 0.998767 | + | 0.0496379i | \(0.0158067\pi\) |
0.355845 | + | 0.934545i | \(0.384193\pi\) | |||||||
\(102\) | −1.26509e8 | + | 3.89353e8i | −0.115723 | + | 0.356158i | ||||
\(103\) | −1.64606e8 | − | 5.06605e8i | −0.144105 | − | 0.443508i | 0.852790 | − | 0.522254i | \(-0.174909\pi\) |
−0.996895 | + | 0.0787454i | \(0.974909\pi\) | |||||||
\(104\) | 2.00000e8 | − | 1.45309e8i | 0.167641 | − | 0.121798i | ||||
\(105\) | 1.49748e8 | − | 1.08798e8i | 0.120229 | − | 0.0873514i | ||||
\(106\) | −2.76758e8 | − | 8.51772e8i | −0.212923 | − | 0.655310i | ||||
\(107\) | −5.04386e8 | + | 1.55234e9i | −0.371994 | + | 1.14488i | 0.573490 | + | 0.819212i | \(0.305589\pi\) |
−0.945484 | + | 0.325668i | \(0.894411\pi\) | |||||||
\(108\) | −3.76802e8 | − | 2.73762e8i | −0.266505 | − | 0.193627i | ||||
\(109\) | 1.37969e9 | 0.936187 | 0.468094 | − | 0.883679i | \(-0.344941\pi\) | ||||
0.468094 | + | 0.883679i | \(0.344941\pi\) | |||||||
\(110\) | −4.27893e8 | − | 1.22307e9i | −0.278656 | − | 0.796499i | ||||
\(111\) | 6.67378e8 | 0.417271 | ||||||||
\(112\) | 6.53714e7 | + | 4.74951e7i | 0.0392560 | + | 0.0285212i | ||||
\(113\) | −1.25434e8 | + | 3.86048e8i | −0.0723709 | + | 0.222735i | −0.980699 | − | 0.195524i | \(-0.937359\pi\) |
0.908328 | + | 0.418258i | \(0.137359\pi\) | |||||||
\(114\) | 5.69774e7 | + | 1.75358e8i | 0.0315959 | + | 0.0972422i | ||||
\(115\) | 2.34763e9 | − | 1.70566e9i | 1.25167 | − | 0.909392i | ||||
\(116\) | 5.78850e8 | − | 4.20559e8i | 0.296828 | − | 0.215658i | ||||
\(117\) | 1.13365e8 | + | 3.48901e8i | 0.0559297 | + | 0.172134i | ||||
\(118\) | −3.29854e8 | + | 1.01519e9i | −0.156622 | + | 0.482032i | ||||
\(119\) | −1.21904e9 | − | 8.85687e8i | −0.557260 | − | 0.404873i | ||||
\(120\) | −9.24702e8 | −0.407086 | ||||||||
\(121\) | −1.84369e9 | + | 1.46994e9i | −0.781903 | + | 0.623400i | ||||
\(122\) | −1.75546e9 | −0.717416 | ||||||||
\(123\) | 3.57617e7 | + | 2.59824e7i | 0.0140879 | + | 0.0102354i | ||||
\(124\) | 2.34728e8 | − | 7.22419e8i | 0.0891595 | − | 0.274405i | ||||
\(125\) | 4.12813e8 | + | 1.27051e9i | 0.151237 | + | 0.465459i | ||||
\(126\) | −5.19423e8 | + | 3.77383e8i | −0.183592 | + | 0.133387i | ||||
\(127\) | 7.78177e7 | − | 5.65379e7i | 0.0265437 | − | 0.0192851i | −0.574434 | − | 0.818551i | \(-0.694778\pi\) |
0.600978 | + | 0.799266i | \(0.294778\pi\) | |||||||
\(128\) | 4.18432e8 | + | 1.28780e9i | 0.137778 | + | 0.424037i | ||||
\(129\) | −2.11407e8 | + | 6.50644e8i | −0.0672149 | + | 0.206866i | ||||
\(130\) | 4.44970e8 | + | 3.23290e8i | 0.136643 | + | 0.0992767i | ||||
\(131\) | −2.64609e9 | −0.785027 | −0.392513 | − | 0.919746i | \(-0.628394\pi\) | ||||
−0.392513 | + | 0.919746i | \(0.628394\pi\) | |||||||
\(132\) | 1.99258e8 | + | 5.69552e8i | 0.0571260 | + | 0.163287i | ||||
\(133\) | −6.78648e8 | −0.188067 | ||||||||
\(134\) | −2.66728e9 | − | 1.93790e9i | −0.714657 | − | 0.519229i | ||||
\(135\) | 8.92981e8 | − | 2.74831e9i | 0.231388 | − | 0.712138i | ||||
\(136\) | 2.32618e9 | + | 7.15924e9i | 0.583066 | + | 1.79449i | ||||
\(137\) | −1.05342e9 | + | 7.65354e8i | −0.255481 | + | 0.185618i | −0.708153 | − | 0.706059i | \(-0.750471\pi\) |
0.452671 | + | 0.891677i | \(0.350471\pi\) | |||||||
\(138\) | 8.62246e8 | − | 6.26458e8i | 0.202384 | − | 0.147040i | ||||
\(139\) | −1.11551e9 | − | 3.43319e9i | −0.253459 | − | 0.780066i | −0.994129 | − | 0.108198i | \(-0.965492\pi\) |
0.740671 | − | 0.671868i | \(-0.234508\pi\) | |||||||
\(140\) | 3.77141e8 | − | 1.16072e9i | 0.0829713 | − | 0.255359i | ||||
\(141\) | −4.95870e8 | − | 3.60271e8i | −0.105653 | − | 0.0767614i | ||||
\(142\) | 6.13600e9 | 1.26645 | ||||||||
\(143\) | 2.87908e8 | − | 9.58578e8i | 0.0575760 | − | 0.191697i | ||||
\(144\) | 5.99035e8 | 0.116097 | ||||||||
\(145\) | 3.59146e9 | + | 2.60935e9i | 0.674706 | + | 0.490203i | ||||
\(146\) | 8.83224e8 | − | 2.71828e9i | 0.160873 | − | 0.495116i | ||||
\(147\) | −4.64023e8 | − | 1.42812e9i | −0.0819618 | − | 0.252252i | ||||
\(148\) | 3.55998e9 | − | 2.58648e9i | 0.609916 | − | 0.443130i | ||||
\(149\) | −7.25264e8 | + | 5.26935e8i | −0.120547 | + | 0.0875828i | −0.646425 | − | 0.762977i | \(-0.723737\pi\) |
0.525878 | + | 0.850560i | \(0.323737\pi\) | |||||||
\(150\) | −2.42064e8 | − | 7.44998e8i | −0.0390409 | − | 0.120156i | ||||
\(151\) | 3.65822e9 | − | 1.12588e10i | 0.572630 | − | 1.76237i | −0.0714828 | − | 0.997442i | \(-0.522773\pi\) |
0.644112 | − | 0.764931i | \(-0.277227\pi\) | |||||||
\(152\) | 2.74284e9 | + | 1.99279e9i | 0.416778 | + | 0.302807i | ||||
\(153\) | −1.11708e10 | −1.64806 | ||||||||
\(154\) | 1.75122e9 | − | 3.92032e7i | 0.250899 | − | 0.00561667i | ||||
\(155\) | 4.71290e9 | 0.655836 | ||||||||
\(156\) | −2.07211e8 | − | 1.50548e8i | −0.0280125 | − | 0.0203523i | ||||
\(157\) | −3.44228e9 | + | 1.05943e10i | −0.452166 | + | 1.39163i | 0.422263 | + | 0.906473i | \(0.361236\pi\) |
−0.874430 | + | 0.485152i | \(0.838764\pi\) | |||||||
\(158\) | −1.12121e9 | − | 3.45074e9i | −0.143130 | − | 0.440510i | ||||
\(159\) | −2.09344e9 | + | 1.52097e9i | −0.259761 | + | 0.188727i | ||||
\(160\) | −8.09647e9 | + | 5.88243e9i | −0.976687 | + | 0.709605i | ||||
\(161\) | 1.21222e9 | + | 3.73082e9i | 0.142188 | + | 0.437610i | ||||
\(162\) | −1.29862e9 | + | 3.99673e9i | −0.148137 | + | 0.455918i | ||||
\(163\) | 6.35653e8 | + | 4.61829e8i | 0.0705303 | + | 0.0512433i | 0.622492 | − | 0.782626i | \(-0.286120\pi\) |
−0.551961 | + | 0.833870i | \(0.686120\pi\) | |||||||
\(164\) | 2.91460e8 | 0.0314617 | ||||||||
\(165\) | −2.97878e9 | + | 2.26778e9i | −0.312868 | + | 0.238190i | ||||
\(166\) | 1.04307e10 | 1.06617 | ||||||||
\(167\) | −1.41244e9 | − | 1.02620e9i | −0.140523 | − | 0.102096i | 0.515303 | − | 0.857008i | \(-0.327679\pi\) |
−0.655826 | + | 0.754912i | \(0.727679\pi\) | |||||||
\(168\) | 3.86286e8 | − | 1.18887e9i | 0.0374125 | − | 0.115144i | ||||
\(169\) | −3.14569e9 | − | 9.68143e9i | −0.296637 | − | 0.912955i | ||||
\(170\) | −1.35494e10 | + | 9.84419e9i | −1.24422 | + | 0.903982i | ||||
\(171\) | −4.07028e9 | + | 2.95723e9i | −0.364034 | + | 0.264486i | ||||
\(172\) | 1.39392e9 | + | 4.29005e9i | 0.121440 | + | 0.373752i | ||||
\(173\) | 1.14585e9 | − | 3.52656e9i | 0.0972567 | − | 0.299325i | −0.890579 | − | 0.454829i | \(-0.849700\pi\) |
0.987835 | + | 0.155504i | \(0.0497002\pi\) | |||||||
\(174\) | 1.31908e9 | + | 9.58369e8i | 0.109094 | + | 0.0792613i | ||||
\(175\) | 2.88318e9 | 0.232381 | ||||||||
\(176\) | −1.34336e9 | − | 9.30800e8i | −0.105533 | − | 0.0731222i | ||||
\(177\) | 3.08408e9 | 0.236181 | ||||||||
\(178\) | −1.07904e10 | − | 7.83972e9i | −0.805655 | − | 0.585343i | ||||
\(179\) | 3.96466e9 | − | 1.22020e10i | 0.288647 | − | 0.888365i | −0.696634 | − | 0.717426i | \(-0.745320\pi\) |
0.985282 | − | 0.170939i | \(-0.0546800\pi\) | |||||||
\(180\) | −2.79593e9 | − | 8.60498e9i | −0.198518 | − | 0.610975i | ||||
\(181\) | −3.56523e9 | + | 2.59029e9i | −0.246907 | + | 0.179389i | −0.704355 | − | 0.709848i | \(-0.748764\pi\) |
0.457448 | + | 0.889236i | \(0.348764\pi\) | |||||||
\(182\) | −6.01528e8 | + | 4.37036e8i | −0.0406382 | + | 0.0295254i | ||||
\(183\) | 1.56732e9 | + | 4.82373e9i | 0.103307 | + | 0.317946i | ||||
\(184\) | 6.05590e9 | − | 1.86381e10i | 0.389492 | − | 1.19873i | ||||
\(185\) | 2.20878e10 | + | 1.60477e10i | 1.38637 | + | 1.00726i | ||||
\(186\) | 1.73097e9 | 0.106043 | ||||||||
\(187\) | 2.50510e10 | + | 1.73575e10i | 1.49809 | + | 1.03801i | ||||
\(188\) | −4.04137e9 | −0.235949 | ||||||||
\(189\) | 3.16040e9 | + | 2.29617e9i | 0.180163 | + | 0.130896i | ||||
\(190\) | −2.33091e9 | + | 7.17381e9i | −0.129758 | + | 0.399355i | ||||
\(191\) | −3.38498e9 | − | 1.04179e10i | −0.184037 | − | 0.566408i | 0.815893 | − | 0.578203i | \(-0.196246\pi\) |
−0.999930 | + | 0.0117944i | \(0.996246\pi\) | |||||||
\(192\) | −3.57891e9 | + | 2.60023e9i | −0.190062 | + | 0.138088i | ||||
\(193\) | 7.65665e9 | − | 5.56288e9i | 0.397220 | − | 0.288597i | −0.371188 | − | 0.928558i | \(-0.621049\pi\) |
0.768408 | + | 0.639961i | \(0.221049\pi\) | |||||||
\(194\) | −4.53908e9 | − | 1.39698e10i | −0.230070 | − | 0.708083i | ||||
\(195\) | 4.91069e8 | − | 1.51135e9i | 0.0243213 | − | 0.0748532i | ||||
\(196\) | −8.01002e9 | − | 5.81962e9i | −0.387687 | − | 0.281671i | ||||
\(197\) | −8.85354e9 | −0.418812 | −0.209406 | − | 0.977829i | \(-0.567153\pi\) | ||||
−0.209406 | + | 0.977829i | \(0.567153\pi\) | |||||||
\(198\) | 1.03324e10 | − | 7.86614e9i | 0.477756 | − | 0.363721i | ||||
\(199\) | −1.00560e10 | −0.454555 | −0.227278 | − | 0.973830i | \(-0.572982\pi\) | ||||
−0.227278 | + | 0.973830i | \(0.572982\pi\) | |||||||
\(200\) | −1.16528e10 | − | 8.46622e9i | −0.514984 | − | 0.374158i | ||||
\(201\) | −2.94361e9 | + | 9.05950e9i | −0.127203 | + | 0.391491i | ||||
\(202\) | 8.13037e9 | + | 2.50227e10i | 0.343581 | + | 1.05743i | ||||
\(203\) | −4.85507e9 | + | 3.52742e9i | −0.200661 | + | 0.145789i | ||||
\(204\) | 6.30958e9 | − | 4.58417e9i | 0.255073 | − | 0.185321i | ||||
\(205\) | 5.58813e8 | + | 1.71985e9i | 0.0220991 | + | 0.0680140i | ||||
\(206\) | 2.47326e9 | − | 7.61191e9i | 0.0956901 | − | 0.294504i | ||||
\(207\) | 2.35276e10 | + | 1.70938e10i | 0.890657 | + | 0.647100i | ||||
\(208\) | 6.93724e8 | 0.0256981 | ||||||||
\(209\) | 1.37228e10 | − | 3.07202e8i | 0.497491 | − | 0.0111369i | ||||
\(210\) | 2.78117e9 | 0.0986826 | ||||||||
\(211\) | −4.00772e10 | − | 2.91178e10i | −1.39196 | − | 1.01132i | −0.995647 | − | 0.0932007i | \(-0.970290\pi\) |
−0.396311 | − | 0.918116i | \(-0.629710\pi\) | |||||||
\(212\) | −5.27235e9 | + | 1.62266e10i | −0.179264 | + | 0.551718i | ||||
\(213\) | −5.47840e9 | − | 1.68608e10i | −0.182367 | − | 0.561267i | ||||
\(214\) | −1.98410e10 | + | 1.44153e10i | −0.646697 | + | 0.469853i | ||||
\(215\) | −2.26422e10 | + | 1.64505e10i | −0.722678 | + | 0.525057i | ||||
\(216\) | −6.03067e9 | − | 1.85605e10i | −0.188505 | − | 0.580160i | ||||
\(217\) | −1.96877e9 | + | 6.05925e9i | −0.0602735 | + | 0.185503i | ||||
\(218\) | 1.67712e10 | + | 1.21850e10i | 0.502933 | + | 0.365402i | ||||
\(219\) | −8.25800e9 | −0.242592 | ||||||||
\(220\) | −7.10070e9 | + | 2.36415e10i | −0.204361 | + | 0.680414i | ||||
\(221\) | −1.29365e10 | −0.364799 | ||||||||
\(222\) | 8.11248e9 | + | 5.89406e9i | 0.224164 | + | 0.162864i | ||||
\(223\) | 3.79735e9 | − | 1.16870e10i | 0.102827 | − | 0.316470i | −0.886387 | − | 0.462945i | \(-0.846793\pi\) |
0.989214 | + | 0.146475i | \(0.0467928\pi\) | |||||||
\(224\) | −4.18066e9 | − | 1.28668e10i | −0.110950 | − | 0.341470i | ||||
\(225\) | 1.72923e10 | − | 1.25636e10i | 0.449812 | − | 0.326807i | ||||
\(226\) | −4.93420e9 | + | 3.58490e9i | −0.125814 | + | 0.0914091i | ||||
\(227\) | 2.17812e10 | + | 6.70356e10i | 0.544459 | + | 1.67567i | 0.722273 | + | 0.691608i | \(0.243098\pi\) |
−0.177814 | + | 0.984064i | \(0.556902\pi\) | |||||||
\(228\) | 1.08544e9 | − | 3.34065e9i | 0.0266012 | − | 0.0818700i | ||||
\(229\) | −5.29848e10 | − | 3.84957e10i | −1.27318 | − | 0.925023i | −0.273860 | − | 0.961770i | \(-0.588301\pi\) |
−0.999325 | + | 0.0367466i | \(0.988301\pi\) | |||||||
\(230\) | 4.36010e10 | 1.02736 | ||||||||
\(231\) | −1.67127e9 | − | 4.77709e9i | −0.0386182 | − | 0.110385i | ||||
\(232\) | 2.99803e10 | 0.679424 | ||||||||
\(233\) | 2.14784e10 | + | 1.56050e10i | 0.477420 | + | 0.346866i | 0.800326 | − | 0.599565i | \(-0.204660\pi\) |
−0.322906 | + | 0.946431i | \(0.604660\pi\) | |||||||
\(234\) | −1.70335e9 | + | 5.24236e9i | −0.0371391 | + | 0.114302i | ||||
\(235\) | −7.74847e9 | − | 2.38473e10i | −0.165734 | − | 0.510076i | ||||
\(236\) | 1.64513e10 | − | 1.19526e10i | 0.345221 | − | 0.250818i | ||||
\(237\) | −8.48106e9 | + | 6.16185e9i | −0.174615 | + | 0.126866i | ||||
\(238\) | −6.99630e9 | − | 2.15324e10i | −0.141342 | − | 0.435007i | ||||
\(239\) | 8.67117e9 | − | 2.66871e10i | 0.171905 | − | 0.529068i | −0.827574 | − | 0.561357i | \(-0.810280\pi\) |
0.999479 | + | 0.0322889i | \(0.0102796\pi\) | |||||||
\(240\) | −2.09929e9 | − | 1.52523e9i | −0.0408435 | − | 0.0296745i | ||||
\(241\) | 9.62715e9 | 0.183832 | 0.0919160 | − | 0.995767i | \(-0.470701\pi\) | ||||
0.0919160 | + | 0.995767i | \(0.470701\pi\) | |||||||
\(242\) | −3.53935e10 | + | 1.58545e9i | −0.663367 | + | 0.0297154i | ||||
\(243\) | 4.41689e10 | 0.812622 | ||||||||
\(244\) | 2.70553e10 | + | 1.96569e10i | 0.488651 | + | 0.355026i | ||||
\(245\) | 1.89829e10 | − | 5.84234e10i | 0.336601 | − | 1.03595i | ||||
\(246\) | 2.05243e8 | + | 6.31672e8i | 0.00357322 | + | 0.0109972i | ||||
\(247\) | −4.71366e9 | + | 3.42468e9i | −0.0805791 | + | 0.0585441i | ||||
\(248\) | 2.57495e10 | − | 1.87081e10i | 0.432251 | − | 0.314049i | ||||
\(249\) | −9.31280e9 | − | 2.86619e10i | −0.153526 | − | 0.472506i | ||||
\(250\) | −6.20265e9 | + | 1.90898e10i | −0.100426 | + | 0.309080i | ||||
\(251\) | 5.02946e9 | + | 3.65412e9i | 0.0799815 | + | 0.0581100i | 0.627057 | − | 0.778973i | \(-0.284259\pi\) |
−0.547076 | + | 0.837083i | \(0.684259\pi\) | |||||||
\(252\) | 1.22312e10 | 0.191058 | ||||||||
\(253\) | −2.62009e10 | − | 7.48915e10i | −0.402044 | − | 1.14919i | ||||
\(254\) | 1.44526e9 | 0.0217868 | ||||||||
\(255\) | 3.91476e10 | + | 2.84424e10i | 0.579795 | + | 0.421245i | ||||
\(256\) | −2.24097e10 | + | 6.89699e10i | −0.326104 | + | 1.00364i | ||||
\(257\) | 2.46833e10 | + | 7.59673e10i | 0.352942 | + | 1.08624i | 0.957193 | + | 0.289450i | \(0.0934724\pi\) |
−0.604251 | + | 0.796794i | \(0.706528\pi\) | |||||||
\(258\) | −8.31609e9 | + | 6.04199e9i | −0.116850 | + | 0.0848968i | ||||
\(259\) | −2.98592e10 | + | 2.16939e10i | −0.412315 | + | 0.299564i | ||||
\(260\) | −3.23788e9 | − | 9.96517e9i | −0.0439421 | − | 0.135240i | ||||
\(261\) | −1.37481e10 | + | 4.23123e10i | −0.183383 | + | 0.564396i | ||||
\(262\) | −3.21653e10 | − | 2.33694e10i | −0.421727 | − | 0.306403i | ||||
\(263\) | −1.32225e11 | −1.70417 | −0.852086 | − | 0.523401i | \(-0.824663\pi\) | ||||
−0.852086 | + | 0.523401i | \(0.824663\pi\) | |||||||
\(264\) | −7.27287e9 | + | 2.42147e10i | −0.0921485 | + | 0.306805i | ||||
\(265\) | −1.05859e11 | −1.31862 | ||||||||
\(266\) | −8.24947e9 | − | 5.99359e9i | −0.101032 | − | 0.0734040i | ||||
\(267\) | −1.19083e10 | + | 3.66500e10i | −0.143400 | + | 0.441340i | ||||
\(268\) | 1.94088e10 | + | 5.97342e10i | 0.229822 | + | 0.707321i | ||||
\(269\) | 6.80557e10 | − | 4.94454e10i | 0.792464 | − | 0.575759i | −0.116230 | − | 0.993222i | \(-0.537081\pi\) |
0.908694 | + | 0.417464i | \(0.137081\pi\) | |||||||
\(270\) | 3.51271e10 | − | 2.55213e10i | 0.402258 | − | 0.292258i | ||||
\(271\) | −9.57344e9 | − | 2.94640e10i | −0.107822 | − | 0.331841i | 0.882561 | − | 0.470199i | \(-0.155818\pi\) |
−0.990382 | + | 0.138357i | \(0.955818\pi\) | |||||||
\(272\) | −6.52765e9 | + | 2.00900e10i | −0.0723097 | + | 0.222546i | ||||
\(273\) | 1.73797e9 | + | 1.26271e9i | 0.0189370 | + | 0.0137585i | ||||
\(274\) | −1.95645e10 | −0.209696 | ||||||||
\(275\) | −5.83005e10 | + | 1.30513e9i | −0.614717 | + | 0.0137612i | ||||
\(276\) | −2.03038e10 | −0.210614 | ||||||||
\(277\) | 1.08418e11 | + | 7.87705e10i | 1.10648 | + | 0.803905i | 0.982106 | − | 0.188330i | \(-0.0603076\pi\) |
0.124374 | + | 0.992235i | \(0.460308\pi\) | |||||||
\(278\) | 1.67609e10 | − | 5.15849e10i | 0.168305 | − | 0.517989i | ||||
\(279\) | 1.45954e10 | + | 4.49201e10i | 0.144211 | + | 0.443836i | ||||
\(280\) | 4.13721e10 | − | 3.00586e10i | 0.402250 | − | 0.292252i | ||||
\(281\) | 1.36956e11 | − | 9.95041e10i | 1.31039 | − | 0.952056i | 0.310394 | − | 0.950608i | \(-0.399539\pi\) |
0.999999 | − | 0.00144810i | \(-0.000460944\pi\) | |||||||
\(282\) | −2.84588e9 | − | 8.75872e9i | −0.0267976 | − | 0.0824745i | ||||
\(283\) | −3.99277e10 | + | 1.22885e11i | −0.370028 | + | 1.13883i | 0.576744 | + | 0.816925i | \(0.304323\pi\) |
−0.946772 | + | 0.321905i | \(0.895677\pi\) | |||||||
\(284\) | −9.45688e10 | − | 6.87082e10i | −0.862611 | − | 0.626724i | ||||
\(285\) | 2.17936e10 | 0.195672 | ||||||||
\(286\) | 1.19656e10 | − | 9.10953e9i | 0.105752 | − | 0.0805098i | ||||
\(287\) | −2.44461e9 | −0.0212687 | ||||||||
\(288\) | −8.11414e10 | − | 5.89527e10i | −0.694986 | − | 0.504937i | ||||
\(289\) | 8.50817e10 | − | 2.61855e11i | 0.717457 | − | 2.20811i | ||||
\(290\) | 2.06120e10 | + | 6.34372e10i | 0.171131 | + | 0.526687i | ||||
\(291\) | −3.43344e10 | + | 2.49454e10i | −0.280679 | + | 0.203926i | ||||
\(292\) | −4.40505e10 | + | 3.20046e10i | −0.354591 | + | 0.257626i | ||||
\(293\) | 1.01468e10 | + | 3.12286e10i | 0.0804311 | + | 0.247541i | 0.983184 | − | 0.182618i | \(-0.0584572\pi\) |
−0.902753 | + | 0.430160i | \(0.858457\pi\) | |||||||
\(294\) | 6.97210e9 | − | 2.14579e10i | 0.0544253 | − | 0.167504i | ||||
\(295\) | 1.02072e11 | + | 7.41596e10i | 0.784706 | + | 0.570122i | ||||
\(296\) | 1.84382e11 | 1.39607 | ||||||||
\(297\) | −6.49455e10 | − | 4.49999e10i | −0.484334 | − | 0.335589i | ||||
\(298\) | −1.34699e10 | −0.0989440 | ||||||||
\(299\) | 2.72466e10 | + | 1.97958e10i | 0.197148 | + | 0.143236i | ||||
\(300\) | −4.61143e9 | + | 1.41925e10i | −0.0328693 | + | 0.101161i | ||||
\(301\) | −1.16914e10 | − | 3.59825e10i | −0.0820953 | − | 0.252663i | ||||
\(302\) | 1.43903e11 | − | 1.04552e11i | 0.995493 | − | 0.723268i | ||||
\(303\) | 6.14995e10 | − | 4.46820e10i | 0.419160 | − | 0.304537i | ||||
\(304\) | 2.93994e9 | + | 9.04822e9i | 0.0197428 | + | 0.0607620i | ||||
\(305\) | −6.41184e10 | + | 1.97336e11i | −0.424261 | + | 1.30574i | ||||
\(306\) | −1.35789e11 | − | 9.86567e10i | −0.885359 | − | 0.643251i | ||||
\(307\) | −2.42441e10 | −0.155770 | −0.0778849 | − | 0.996962i | \(-0.524817\pi\) | ||||
−0.0778849 | + | 0.996962i | \(0.524817\pi\) | |||||||
\(308\) | −2.74290e10 | − | 1.90052e10i | −0.173673 | − | 0.120336i | ||||
\(309\) | −2.31245e10 | −0.144298 | ||||||||
\(310\) | 5.72888e10 | + | 4.16228e10i | 0.352324 | + | 0.255978i | ||||
\(311\) | −7.01181e10 | + | 2.15801e11i | −0.425019 | + | 1.30807i | 0.477957 | + | 0.878383i | \(0.341378\pi\) |
−0.902976 | + | 0.429691i | \(0.858622\pi\) | |||||||
\(312\) | −3.31639e9 | − | 1.02068e10i | −0.0198139 | − | 0.0609809i | ||||
\(313\) | 6.33379e10 | − | 4.60177e10i | 0.373004 | − | 0.271004i | −0.385451 | − | 0.922728i | \(-0.625954\pi\) |
0.758456 | + | 0.651725i | \(0.225954\pi\) | |||||||
\(314\) | −1.35409e11 | + | 9.83801e10i | −0.786073 | + | 0.571116i | ||||
\(315\) | 2.34507e10 | + | 7.21738e10i | 0.134202 | + | 0.413031i | ||||
\(316\) | −2.13596e10 | + | 6.57382e10i | −0.120504 | + | 0.370873i | ||||
\(317\) | −1.11252e11 | − | 8.08295e10i | −0.618789 | − | 0.449576i | 0.233710 | − | 0.972306i | \(-0.424913\pi\) |
−0.852498 | + | 0.522730i | \(0.824913\pi\) | |||||||
\(318\) | −3.88801e10 | −0.213209 | ||||||||
\(319\) | 9.65770e10 | − | 7.35251e10i | 0.522174 | − | 0.397537i | ||||
\(320\) | −1.80974e11 | −0.964809 | ||||||||
\(321\) | 5.73256e10 | + | 4.16495e10i | 0.301353 | + | 0.218946i | ||||
\(322\) | −1.82139e10 | + | 5.60568e10i | −0.0944175 | + | 0.290587i | ||||
\(323\) | −5.48240e10 | − | 1.68731e11i | −0.280259 | − | 0.862549i | ||||
\(324\) | 6.47680e10 | − | 4.70567e10i | 0.326519 | − | 0.237230i | ||||
\(325\) | 2.00257e10 | − | 1.45495e10i | 0.0995661 | − | 0.0723390i | ||||
\(326\) | 3.64812e9 | + | 1.12278e10i | 0.0178892 | + | 0.0550572i | ||||
\(327\) | 1.85087e10 | − | 5.69638e10i | 0.0895179 | − | 0.275508i | ||||
\(328\) | 9.88019e9 | + | 7.17838e9i | 0.0471339 | + | 0.0342448i | ||||
\(329\) | 3.38968e10 | 0.159506 | ||||||||
\(330\) | −5.62376e10 | + | 1.25895e9i | −0.261044 | + | 0.00584379i | ||||
\(331\) | 1.67490e11 | 0.766943 | 0.383471 | − | 0.923553i | \(-0.374728\pi\) | ||||
0.383471 | + | 0.923553i | \(0.374728\pi\) | |||||||
\(332\) | −1.60759e11 | − | 1.16798e11i | −0.726194 | − | 0.527611i | ||||
\(333\) | −8.45521e10 | + | 2.60225e11i | −0.376812 | + | 1.15971i | ||||
\(334\) | −8.10625e9 | − | 2.49485e10i | −0.0356419 | − | 0.109695i | ||||
\(335\) | −3.15267e11 | + | 2.29055e11i | −1.36766 | + | 0.993661i | ||||
\(336\) | 2.83791e9 | − | 2.06186e9i | 0.0121471 | − | 0.00882536i | ||||
\(337\) | −2.77105e10 | − | 8.52840e10i | −0.117033 | − | 0.360191i | 0.875332 | − | 0.483522i | \(-0.160643\pi\) |
−0.992366 | + | 0.123330i | \(0.960643\pi\) | |||||||
\(338\) | 4.72650e10 | − | 1.45467e11i | 0.196977 | − | 0.606231i | ||||
\(339\) | 1.42562e10 | + | 1.03577e10i | 0.0586278 | + | 0.0425956i | ||||
\(340\) | 3.19055e11 | 1.29482 | ||||||||
\(341\) | 3.70674e10 | − | 1.23414e11i | 0.148456 | − | 0.494278i | ||||
\(342\) | −7.55946e10 | −0.298795 | ||||||||
\(343\) | 1.45562e11 | + | 1.05757e11i | 0.567840 | + | 0.412560i | ||||
\(344\) | −5.84072e10 | + | 1.79759e11i | −0.224881 | + | 0.692113i | ||||
\(345\) | −3.89283e10 | − | 1.19809e11i | −0.147938 | − | 0.455306i | ||||
\(346\) | 4.50740e10 | − | 3.27482e10i | 0.169077 | − | 0.122841i | ||||
\(347\) | 1.15697e11 | − | 8.40586e10i | 0.428389 | − | 0.311243i | −0.352615 | − | 0.935768i | \(-0.614708\pi\) |
0.781005 | + | 0.624525i | \(0.214708\pi\) | |||||||
\(348\) | −9.59845e9 | − | 2.95410e10i | −0.0350828 | − | 0.107974i | ||||
\(349\) | −8.98715e10 | + | 2.76596e11i | −0.324270 | + | 0.998002i | 0.647498 | + | 0.762067i | \(0.275815\pi\) |
−0.971769 | + | 0.235935i | \(0.924185\pi\) | |||||||
\(350\) | 3.50473e10 | + | 2.54633e10i | 0.124838 | + | 0.0907004i | ||||
\(351\) | 3.35383e10 | 0.117940 | ||||||||
\(352\) | 9.03609e10 | + | 2.58284e11i | 0.313717 | + | 0.896718i | ||||
\(353\) | 1.21750e10 | 0.0417331 | 0.0208666 | − | 0.999782i | \(-0.493357\pi\) | ||||
0.0208666 | + | 0.999782i | \(0.493357\pi\) | |||||||
\(354\) | 3.74893e10 | + | 2.72376e10i | 0.126880 | + | 0.0921835i | ||||
\(355\) | 2.24118e11 | − | 6.89765e11i | 0.748945 | − | 2.30501i | ||||
\(356\) | 7.85179e10 | + | 2.41653e11i | 0.259086 | + | 0.797384i | ||||
\(357\) | −5.29212e10 | + | 3.84495e10i | −0.172434 | + | 0.125281i | ||||
\(358\) | 1.55957e11 | − | 1.13310e11i | 0.501802 | − | 0.364580i | ||||
\(359\) | −7.22049e10 | − | 2.22224e11i | −0.229425 | − | 0.706099i | −0.997812 | − | 0.0661129i | \(-0.978940\pi\) |
0.768387 | − | 0.639986i | \(-0.221060\pi\) | |||||||
\(360\) | 1.17153e11 | − | 3.60561e11i | 0.367615 | − | 1.13140i | ||||
\(361\) | 1.96416e11 | + | 1.42704e11i | 0.608687 | + | 0.442237i | ||||
\(362\) | −6.62146e10 | −0.202659 | ||||||||
\(363\) | 3.59569e10 | + | 9.58403e10i | 0.108693 | + | 0.289713i | ||||
\(364\) | 1.41646e10 | 0.0422909 | ||||||||
\(365\) | −2.73310e11 | − | 1.98571e11i | −0.806005 | − | 0.585597i | ||||
\(366\) | −2.35496e10 | + | 7.24782e10i | −0.0685991 | + | 0.211126i | ||||
\(367\) | −1.31692e11 | − | 4.05306e11i | −0.378933 | − | 1.16624i | −0.940787 | − | 0.338999i | \(-0.889912\pi\) |
0.561854 | − | 0.827237i | \(-0.310088\pi\) | |||||||
\(368\) | 4.44905e10 | − | 3.23243e10i | 0.126460 | − | 0.0918784i | ||||
\(369\) | −1.46619e10 | + | 1.06525e10i | −0.0411690 | + | 0.0299110i | ||||
\(370\) | 1.26766e11 | + | 3.90145e11i | 0.351637 | + | 1.08223i | ||||
\(371\) | 4.42216e10 | − | 1.36100e11i | 0.121186 | − | 0.372971i | ||||
\(372\) | −2.66779e10 | − | 1.93826e10i | −0.0722284 | − | 0.0524770i | ||||
\(373\) | −5.21244e11 | −1.39428 | −0.697142 | − | 0.716933i | \(-0.745545\pi\) | ||||
−0.697142 | + | 0.716933i | \(0.745545\pi\) | |||||||
\(374\) | 1.51218e11 | + | 4.32236e11i | 0.399652 | + | 1.14235i | ||||
\(375\) | 5.79937e10 | 0.151440 | ||||||||
\(376\) | −1.36998e11 | − | 9.95350e10i | −0.353484 | − | 0.256821i | ||||
\(377\) | −1.59212e10 | + | 4.90006e10i | −0.0405920 | + | 0.124929i | ||||
\(378\) | 1.81381e10 | + | 5.58233e10i | 0.0456960 | + | 0.140638i | ||||
\(379\) | −4.30844e11 | + | 3.13026e11i | −1.07261 | + | 0.779300i | −0.976380 | − | 0.216059i | \(-0.930680\pi\) |
−0.0962336 | + | 0.995359i | \(0.530680\pi\) | |||||||
\(380\) | 1.16254e11 | − | 8.44631e10i | 0.286009 | − | 0.207798i | ||||
\(381\) | −1.29037e9 | − | 3.97134e9i | −0.00313727 | − | 0.00965551i | ||||
\(382\) | 5.08604e10 | − | 1.56532e11i | 0.122207 | − | 0.376113i | ||||
\(383\) | 5.18093e11 | + | 3.76417e11i | 1.23031 | + | 0.893870i | 0.996913 | − | 0.0785124i | \(-0.0250170\pi\) |
0.233393 | + | 0.972382i | \(0.425017\pi\) | |||||||
\(384\) | 5.87832e10 | 0.137963 | ||||||||
\(385\) | 5.95567e10 | − | 1.98292e11i | 0.138152 | − | 0.459972i | ||||
\(386\) | 1.42202e11 | 0.326034 | ||||||||
\(387\) | −2.26916e11 | − | 1.64864e11i | −0.514240 | − | 0.373617i | ||||
\(388\) | −8.64714e10 | + | 2.66132e11i | −0.193700 | + | 0.596147i | ||||
\(389\) | 1.09525e11 | + | 3.37083e11i | 0.242515 | + | 0.746386i | 0.996035 | + | 0.0889604i | \(0.0283545\pi\) |
−0.753520 | + | 0.657425i | \(0.771646\pi\) | |||||||
\(390\) | 1.93171e10 | − | 1.40347e10i | 0.0422816 | − | 0.0307193i | ||||
\(391\) | −8.29658e11 | + | 6.02782e11i | −1.79516 | + | 1.30426i | ||||
\(392\) | −1.28200e11 | − | 3.94558e11i | −0.274220 | − | 0.843962i | ||||
\(393\) | −3.54975e10 | + | 1.09250e11i | −0.0750640 | + | 0.231023i | ||||
\(394\) | −1.07621e11 | − | 7.81915e10i | −0.224991 | − | 0.163466i | ||||
\(395\) | −4.28861e11 | −0.886399 | ||||||||
\(396\) | −2.47325e11 | + | 5.53667e9i | −0.505405 | + | 0.0113141i | ||||
\(397\) | 7.44742e10 | 0.150470 | 0.0752348 | − | 0.997166i | \(-0.476029\pi\) | ||||
0.0752348 | + | 0.997166i | \(0.476029\pi\) | |||||||
\(398\) | −1.22238e11 | − | 8.88113e10i | −0.244193 | − | 0.177417i | ||||
\(399\) | −9.10410e9 | + | 2.80195e10i | −0.0179829 | + | 0.0553456i | ||||
\(400\) | −1.24901e10 | − | 3.84407e10i | −0.0243948 | − | 0.0750795i | ||||
\(401\) | 1.00689e11 | − | 7.31550e10i | 0.194461 | − | 0.141284i | −0.486294 | − | 0.873795i | \(-0.661652\pi\) |
0.680755 | + | 0.732511i | \(0.261652\pi\) | |||||||
\(402\) | −1.15792e11 | + | 8.41281e10i | −0.221138 | + | 0.160666i | ||||
\(403\) | 1.69025e10 | + | 5.20206e10i | 0.0319212 | + | 0.0982433i | ||||
\(404\) | 1.54887e11 | − | 4.76693e11i | 0.289267 | − | 0.890272i | ||||
\(405\) | 4.01851e11 | + | 2.91962e11i | 0.742195 | + | 0.539236i | ||||
\(406\) | −9.01701e10 | −0.164701 | ||||||||
\(407\) | 5.93958e11 | − | 4.52187e11i | 1.07295 | − | 0.816851i | ||||
\(408\) | 3.26792e11 | 0.583848 | ||||||||
\(409\) | 2.96191e11 | + | 2.15196e11i | 0.523381 | + | 0.380258i | 0.817876 | − | 0.575395i | \(-0.195152\pi\) |
−0.294495 | + | 0.955653i | \(0.595152\pi\) | |||||||
\(410\) | −8.39636e9 | + | 2.58413e10i | −0.0146745 | + | 0.0451635i | ||||
\(411\) | 1.74677e10 | + | 5.37602e10i | 0.0301959 | + | 0.0929335i | ||||
\(412\) | −1.23353e11 | + | 8.96212e10i | −0.210917 | + | 0.153240i | ||||
\(413\) | −1.37985e11 | + | 1.00252e11i | −0.233376 | + | 0.169557i | ||||
\(414\) | 1.35029e11 | + | 4.15576e11i | 0.225904 | + | 0.695262i | ||||
\(415\) | 3.80981e11 | − | 1.17254e12i | 0.630503 | − | 1.94049i | ||||
\(416\) | −9.39673e10 | − | 6.82713e10i | −0.153836 | − | 0.111768i | ||||
\(417\) | −1.56712e11 | −0.253799 | ||||||||
\(418\) | 1.69525e11 | + | 1.17461e11i | 0.271606 | + | 0.188192i | ||||
\(419\) | 8.34488e11 | 1.32269 | 0.661343 | − | 0.750083i | \(-0.269987\pi\) | ||||
0.661343 | + | 0.750083i | \(0.269987\pi\) | |||||||
\(420\) | −4.28637e10 | − | 3.11423e10i | −0.0672153 | − | 0.0488348i | ||||
\(421\) | 2.48884e11 | − | 7.65986e11i | 0.386125 | − | 1.18837i | −0.549537 | − | 0.835470i | \(-0.685196\pi\) |
0.935661 | − | 0.352900i | \(-0.114804\pi\) | |||||||
\(422\) | −2.30010e11 | − | 7.07897e11i | −0.353053 | − | 1.08659i | ||||
\(423\) | 2.03300e11 | − | 1.47706e11i | 0.308750 | − | 0.224320i | ||||
\(424\) | −5.78373e11 | + | 4.20212e11i | −0.869084 | + | 0.631426i | ||||
\(425\) | 2.32916e11 | + | 7.16841e11i | 0.346297 | + | 1.06579i | ||||
\(426\) | 8.23148e10 | − | 2.53339e11i | 0.121097 | − | 0.372700i | ||||
\(427\) | −2.26925e11 | − | 1.64871e11i | −0.330337 | − | 0.240004i | ||||
\(428\) | 4.67207e11 | 0.672996 | ||||||||
\(429\) | −3.57148e10 | − | 2.47463e10i | −0.0509085 | − | 0.0352739i | ||||
\(430\) | −4.20518e11 | −0.593167 | ||||||||
\(431\) | −6.69709e10 | − | 4.86572e10i | −0.0934842 | − | 0.0679203i | 0.540061 | − | 0.841626i | \(-0.318401\pi\) |
−0.633545 | + | 0.773705i | \(0.718401\pi\) | |||||||
\(432\) | 1.69231e10 | − | 5.20839e10i | 0.0233778 | − | 0.0719494i | ||||
\(433\) | 2.00157e11 | + | 6.16020e11i | 0.273637 | + | 0.842169i | 0.989577 | + | 0.144006i | \(0.0459986\pi\) |
−0.715940 | + | 0.698162i | \(0.754001\pi\) | |||||||
\(434\) | −7.74452e10 | + | 5.62672e10i | −0.104783 | + | 0.0761293i | ||||
\(435\) | 1.55913e11 | − | 1.13277e11i | 0.208776 | − | 0.151684i | ||||
\(436\) | −1.22038e11 | − | 3.75593e11i | −0.161735 | − | 0.497769i | ||||
\(437\) | −1.42727e11 | + | 4.39269e11i | −0.187215 | + | 0.576188i | ||||
\(438\) | −1.00382e11 | − | 7.29319e10i | −0.130324 | − | 0.0946856i | ||||
\(439\) | 7.54541e9 | 0.00969600 | 0.00484800 | − | 0.999988i | \(-0.498457\pi\) | ||||
0.00484800 | + | 0.999988i | \(0.498457\pi\) | |||||||
\(440\) | −8.22973e11 | + | 6.26538e11i | −1.04676 | + | 0.796912i | ||||
\(441\) | 6.15641e11 | 0.775093 | ||||||||
\(442\) | −1.57253e11 | − | 1.14251e11i | −0.195975 | − | 0.142384i | ||||
\(443\) | −6.62622e9 | + | 2.03934e10i | −0.00817427 | + | 0.0251578i | −0.955060 | − | 0.296411i | \(-0.904210\pi\) |
0.946886 | + | 0.321569i | \(0.104210\pi\) | |||||||
\(444\) | −5.90314e10 | − | 1.81680e11i | −0.0720875 | − | 0.221862i | ||||
\(445\) | −1.27541e12 | + | 9.26638e11i | −1.54180 | + | 1.12019i | ||||
\(446\) | 1.49376e11 | − | 1.08528e11i | 0.178761 | − | 0.129877i | ||||
\(447\) | 1.20263e10 | + | 3.70131e10i | 0.0142478 | + | 0.0438502i | ||||
\(448\) | 7.56003e10 | − | 2.32674e11i | 0.0886692 | − | 0.272896i | ||||
\(449\) | 7.57101e11 | + | 5.50066e11i | 0.879114 | + | 0.638714i | 0.933017 | − | 0.359833i | \(-0.117166\pi\) |
−0.0539030 | + | 0.998546i | \(0.517166\pi\) | |||||||
\(450\) | 3.21158e11 | 0.369201 | ||||||||
\(451\) | 4.94321e10 | − | 1.10660e9i | 0.0562619 | − | 0.00125949i | ||||
\(452\) | 1.16189e11 | 0.130930 | ||||||||
\(453\) | −4.15773e11 | − | 3.02076e11i | −0.463889 | − | 0.337035i | ||||
\(454\) | −3.27270e11 | + | 1.00723e12i | −0.361538 | + | 1.11270i | ||||
\(455\) | 2.71575e10 | + | 8.35823e10i | 0.0297057 | + | 0.0914246i | ||||
\(456\) | 1.19072e11 | − | 8.65111e10i | 0.128964 | − | 0.0936980i | ||||
\(457\) | 3.20996e11 | − | 2.33217e11i | 0.344252 | − | 0.250114i | −0.402202 | − | 0.915551i | \(-0.631755\pi\) |
0.746454 | + | 0.665437i | \(0.231755\pi\) | |||||||
\(458\) | −3.04089e11 | − | 9.35888e11i | −0.322928 | − | 0.993870i | ||||
\(459\) | −3.15581e11 | + | 9.71260e11i | −0.331860 | + | 1.02136i | ||||
\(460\) | −6.71985e11 | − | 4.88225e11i | −0.699760 | − | 0.508405i | ||||
\(461\) | −1.52451e12 | −1.57209 | −0.786044 | − | 0.618171i | \(-0.787874\pi\) | ||||
−0.786044 | + | 0.618171i | \(0.787874\pi\) | |||||||
\(462\) | 2.18742e10 | − | 7.28292e10i | 0.0223379 | − | 0.0743732i | ||||
\(463\) | −7.74822e11 | −0.783587 | −0.391794 | − | 0.920053i | \(-0.628145\pi\) | ||||
−0.391794 | + | 0.920053i | \(0.628145\pi\) | |||||||
\(464\) | 6.80625e10 | + | 4.94503e10i | 0.0681675 | + | 0.0495266i | ||||
\(465\) | 6.32238e10 | − | 1.94583e11i | 0.0627108 | − | 0.193004i | ||||
\(466\) | 1.23268e11 | + | 3.79380e11i | 0.121092 | + | 0.372682i | ||||
\(467\) | 1.04790e12 | − | 7.61346e11i | 1.01952 | − | 0.740723i | 0.0533339 | − | 0.998577i | \(-0.483015\pi\) |
0.966184 | + | 0.257854i | \(0.0830152\pi\) | |||||||
\(468\) | 8.49538e10 | − | 6.17226e10i | 0.0818609 | − | 0.0594754i | ||||
\(469\) | −1.62790e11 | − | 5.01017e11i | −0.155364 | − | 0.478162i | ||||
\(470\) | 1.16423e11 | − | 3.58314e11i | 0.110053 | − | 0.338707i | ||||
\(471\) | 3.91230e11 | + | 2.84245e11i | 0.366301 | + | 0.266133i | ||||
\(472\) | 8.52064e11 | 0.790193 | ||||||||
\(473\) | 2.52699e11 | + | 7.22305e11i | 0.232128 | + | 0.663507i | ||||
\(474\) | −1.57513e11 | −0.143323 | ||||||||
\(475\) | 2.74636e11 | + | 1.99535e11i | 0.247534 | + | 0.179844i | ||||
\(476\) | −1.33283e11 | + | 4.10201e11i | −0.118999 | + | 0.366240i | ||||
\(477\) | −3.27836e11 | − | 1.00897e12i | −0.289950 | − | 0.892375i | ||||
\(478\) | 3.41097e11 | − | 2.47821e11i | 0.298849 | − | 0.217127i | ||||
\(479\) | 1.00989e12 | − | 7.33728e11i | 0.876525 | − | 0.636833i | −0.0558048 | − | 0.998442i | \(-0.517772\pi\) |
0.932330 | + | 0.361609i | \(0.117772\pi\) | |||||||
\(480\) | 1.34255e11 | + | 4.13195e11i | 0.115437 | + | 0.355279i | ||||
\(481\) | −9.79172e10 | + | 3.01358e11i | −0.0834077 | + | 0.256702i | ||||
\(482\) | 1.17025e11 | + | 8.50239e10i | 0.0987571 | + | 0.0717512i | ||||
\(483\) | 1.70297e11 | 0.142379 | ||||||||
\(484\) | 5.63242e11 | + | 3.71886e11i | 0.466542 | + | 0.308039i | ||||
\(485\) | −1.73618e12 | −1.42481 | ||||||||
\(486\) | 5.36907e11 | + | 3.90085e11i | 0.436552 | + | 0.317173i | ||||
\(487\) | 3.31303e10 | − | 1.01964e11i | 0.0266897 | − | 0.0821426i | −0.936824 | − | 0.349800i | \(-0.886250\pi\) |
0.963514 | + | 0.267657i | \(0.0862495\pi\) | |||||||
\(488\) | 4.33018e11 | + | 1.33269e12i | 0.345634 | + | 1.06375i | ||||
\(489\) | 2.75950e10 | − | 2.00489e10i | 0.0218243 | − | 0.0158563i | ||||
\(490\) | 7.46728e11 | − | 5.42530e11i | 0.585167 | − | 0.425149i | ||||
\(491\) | −1.27254e11 | − | 3.91647e11i | −0.0988108 | − | 0.304108i | 0.889417 | − | 0.457096i | \(-0.151110\pi\) |
−0.988228 | + | 0.152988i | \(0.951110\pi\) | |||||||
\(492\) | 3.90996e9 | − | 1.20336e10i | 0.00300836 | − | 0.00925877i | ||||
\(493\) | −1.26923e12 | − | 9.22149e11i | −0.967673 | − | 0.703056i | ||||
\(494\) | −8.75438e10 | −0.0661384 | ||||||||
\(495\) | −5.06864e11 | − | 1.44880e12i | −0.379462 | − | 1.08464i | ||||
\(496\) | 8.93152e10 | 0.0662609 | ||||||||
\(497\) | 7.93190e11 | + | 5.76286e11i | 0.583141 | + | 0.423677i | ||||
\(498\) | 1.39928e11 | − | 4.30654e11i | 0.101947 | − | 0.313759i | ||||
\(499\) | −2.78482e11 | − | 8.57078e11i | −0.201068 | − | 0.618825i | −0.999852 | − | 0.0172065i | \(-0.994523\pi\) |
0.798783 | − | 0.601619i | \(-0.205477\pi\) | |||||||
\(500\) | 3.09355e11 | − | 2.24760e11i | 0.221357 | − | 0.160825i | ||||
\(501\) | −6.13171e10 | + | 4.45495e10i | −0.0434822 | + | 0.0315917i | ||||
\(502\) | 2.88649e10 | + | 8.88371e10i | 0.0202863 | + | 0.0624349i | ||||
\(503\) | −6.24171e11 | + | 1.92100e12i | −0.434758 | + | 1.33805i | 0.458576 | + | 0.888655i | \(0.348360\pi\) |
−0.893334 | + | 0.449393i | \(0.851640\pi\) | |||||||
\(504\) | 4.14624e11 | + | 3.01242e11i | 0.286231 | + | 0.207959i | ||||
\(505\) | 3.10983e12 | 2.12778 | ||||||||
\(506\) | 3.42926e11 | − | 1.14176e12i | 0.232554 | − | 0.774279i | ||||
\(507\) | −4.41920e11 | −0.297035 | ||||||||
\(508\) | −2.22745e10 | − | 1.61834e10i | −0.0148396 | − | 0.0107816i | ||||
\(509\) | 1.21500e10 | − | 3.73939e10i | 0.00802319 | − | 0.0246928i | −0.946965 | − | 0.321337i | \(-0.895868\pi\) |
0.954988 | + | 0.296645i | \(0.0958677\pi\) | |||||||
\(510\) | 2.24675e11 | + | 6.91477e11i | 0.147058 | + | 0.452597i | ||||
\(511\) | 3.69471e11 | − | 2.68437e11i | 0.239710 | − | 0.174160i | ||||
\(512\) | −3.20646e11 | + | 2.32963e11i | −0.206210 | + | 0.149821i | ||||
\(513\) | 1.42133e11 | + | 4.37440e11i | 0.0906079 | + | 0.278862i | ||||
\(514\) | −3.70874e11 | + | 1.14143e12i | −0.234365 | + | 0.721301i | ||||
\(515\) | −7.65340e11 | − | 5.56052e11i | −0.479426 | − | 0.348324i | ||||
\(516\) | 1.95824e11 | 0.121602 | ||||||||
\(517\) | −6.85422e11 | + | 1.53440e10i | −0.421940 | + | 0.00944563i | ||||
\(518\) | −5.54554e11 | −0.338423 | ||||||||
\(519\) | −1.30230e11 | − | 9.46180e10i | −0.0787879 | − | 0.0572428i | ||||
\(520\) | 1.35672e11 | − | 4.17554e11i | 0.0813718 | − | 0.250437i | ||||
\(521\) | −5.72134e11 | − | 1.76085e12i | −0.340195 | − | 1.04701i | −0.964106 | − | 0.265517i | \(-0.914457\pi\) |
0.623911 | − | 0.781495i | \(-0.285543\pi\) | |||||||
\(522\) | −5.40807e11 | + | 3.92919e11i | −0.318805 | + | 0.231625i | ||||
\(523\) | −4.36478e11 | + | 3.17120e11i | −0.255097 | + | 0.185339i | −0.707983 | − | 0.706230i | \(-0.750395\pi\) |
0.452886 | + | 0.891569i | \(0.350395\pi\) | |||||||
\(524\) | 2.34054e11 | + | 7.20345e11i | 0.135621 | + | 0.417397i | ||||
\(525\) | 3.86781e10 | − | 1.19039e11i | 0.0222202 | − | 0.0683868i | ||||
\(526\) | −1.60730e12 | − | 1.16777e12i | −0.915505 | − | 0.665153i | ||||
\(527\) | −1.66555e12 | −0.940609 | ||||||||
\(528\) | −5.64516e10 | + | 4.29772e10i | −0.0316099 | + | 0.0240650i | ||||
\(529\) | 8.68639e11 | 0.482268 | ||||||||
\(530\) | −1.28679e12 | − | 9.34910e11i | −0.708382 | − | 0.514669i | ||||
\(531\) | −3.90731e11 | + | 1.20255e12i | −0.213281 | + | 0.656412i | ||||
\(532\) | 6.00283e10 | + | 1.84748e11i | 0.0324903 | + | 0.0999948i | ||||
\(533\) | −1.69794e10 | + | 1.23363e10i | −0.00911278 | + | 0.00662082i | ||||
\(534\) | −4.68435e11 | + | 3.40338e11i | −0.249295 | + | 0.181124i | ||||
\(535\) | 8.95771e11 | + | 2.75690e12i | 0.472721 | + | 1.45489i | ||||
\(536\) | −8.13256e11 | + | 2.50294e12i | −0.425584 | + | 1.30981i | ||||
\(537\) | −4.50601e11 | − | 3.27381e11i | −0.233834 | − | 0.169890i | ||||
\(538\) | 1.26395e12 | 0.650446 | ||||||||
\(539\) | −1.38060e12 | − | 9.56603e11i | −0.704563 | − | 0.488183i | ||||
\(540\) | −8.27159e11 | −0.418617 | ||||||||
\(541\) | 1.87360e12 | + | 1.36125e12i | 0.940347 | + | 0.683202i | 0.948504 | − | 0.316765i | \(-0.102597\pi\) |
−0.00815706 | + | 0.999967i | \(0.502597\pi\) | |||||||
\(542\) | 1.43844e11 | − | 4.42707e11i | 0.0715971 | − | 0.220353i | ||||
\(543\) | 5.91184e10 | + | 1.81948e11i | 0.0291825 | + | 0.0898146i | ||||
\(544\) | 2.86131e12 | − | 2.07886e12i | 1.40078 | − | 1.01773i | ||||
\(545\) | 1.98232e12 | − | 1.44024e12i | 0.962475 | − | 0.699279i | ||||
\(546\) | 9.97450e9 | + | 3.06984e10i | 0.00480313 | + | 0.0147825i | ||||
\(547\) | −7.07088e11 | + | 2.17619e12i | −0.337700 | + | 1.03933i | 0.627677 | + | 0.778474i | \(0.284006\pi\) |
−0.965377 | + | 0.260859i | \(0.915994\pi\) | |||||||
\(548\) | 3.01530e11 | + | 2.19074e11i | 0.142830 | + | 0.103772i | ||||
\(549\) | −2.07944e12 | −0.976948 | ||||||||
\(550\) | −7.20213e11 | − | 4.99026e11i | −0.335605 | − | 0.232536i | ||||
\(551\) | −7.06586e11 | −0.326575 | ||||||||
\(552\) | −6.88278e11 | − | 5.00063e11i | −0.315528 | − | 0.229245i | ||||
\(553\) | 1.79153e11 | − | 5.51375e11i | 0.0814630 | − | 0.250717i | ||||
\(554\) | 6.22231e11 | + | 1.91503e12i | 0.280645 | + | 0.863737i | ||||
\(555\) | 9.58878e11 | − | 6.96665e11i | 0.428988 | − | 0.311678i | ||||
\(556\) | −8.35946e11 | + | 6.07351e11i | −0.370973 | + | 0.269527i | ||||
\(557\) | −7.72790e11 | − | 2.37840e12i | −0.340183 | − | 1.04698i | −0.964112 | − | 0.265496i | \(-0.914464\pi\) |
0.623929 | − | 0.781481i | \(-0.285536\pi\) | |||||||
\(558\) | −2.19301e11 | + | 6.74940e11i | −0.0957607 | + | 0.294721i | ||||
\(559\) | −2.62784e11 | − | 1.90924e11i | −0.113827 | − | 0.0827004i | ||||
\(560\) | 1.43504e11 | 0.0616620 | ||||||||
\(561\) | 1.05271e12 | − | 8.01438e11i | 0.448719 | − | 0.341615i | ||||
\(562\) | 2.54359e12 | 1.07556 | ||||||||
\(563\) | 2.77674e12 | + | 2.01742e12i | 1.16479 | + | 0.846268i | 0.990376 | − | 0.138405i | \(-0.0441974\pi\) |
0.174412 | + | 0.984673i | \(0.444197\pi\) | |||||||
\(564\) | −5.42153e10 | + | 1.66857e11i | −0.0225614 | + | 0.0694368i | ||||
\(565\) | 2.22767e11 | + | 6.85606e11i | 0.0919671 | + | 0.283046i | ||||
\(566\) | −1.57063e12 | + | 1.14113e12i | −0.643279 | + | 0.467370i | ||||
\(567\) | −5.43238e11 | + | 3.94686e11i | −0.220733 | + | 0.160372i | ||||
\(568\) | −1.51356e12 | − | 4.65827e12i | −0.610145 | − | 1.87783i | ||||
\(569\) | 1.16745e12 | − | 3.59305e12i | 0.466911 | − | 1.43700i | −0.389652 | − | 0.920962i | \(-0.627405\pi\) |
0.856563 | − | 0.516042i | \(-0.172595\pi\) | |||||||
\(570\) | 2.64918e11 | + | 1.92474e11i | 0.105117 | + | 0.0763723i | ||||
\(571\) | 2.35867e12 | 0.928550 | 0.464275 | − | 0.885691i | \(-0.346315\pi\) | ||||
0.464275 | + | 0.885691i | \(0.346315\pi\) | |||||||
\(572\) | −2.86420e11 | + | 6.41185e9i | −0.111872 | + | 0.00250438i | ||||
\(573\) | −4.75536e11 | −0.184284 | ||||||||
\(574\) | −2.97160e10 | − | 2.15900e10i | −0.0114258 | − | 0.00830135i | ||||
\(575\) | 6.06366e11 | − | 1.86620e12i | 0.231329 | − | 0.711956i | ||||
\(576\) | −5.60461e11 | − | 1.72492e12i | −0.212151 | − | 0.652933i | ||||
\(577\) | 7.63828e11 | − | 5.54953e11i | 0.286883 | − | 0.208432i | −0.435031 | − | 0.900415i | \(-0.643263\pi\) |
0.721914 | + | 0.691983i | \(0.243263\pi\) | |||||||
\(578\) | 3.34685e12 | − | 2.43163e12i | 1.24727 | − | 0.906195i | ||||
\(579\) | −1.26962e11 | − | 3.90749e11i | −0.0469484 | − | 0.144492i | ||||
\(580\) | 3.92667e11 | − | 1.20851e12i | 0.144078 | − | 0.443427i | ||||
\(581\) | 1.34835e12 | + | 9.79636e11i | 0.490921 | + | 0.356675i | ||||
\(582\) | −6.37670e11 | −0.230379 | ||||||||
\(583\) | −8.32590e11 | + | 2.77208e12i | −0.298485 | + | 0.993794i | ||||
\(584\) | −2.28151e12 | −0.811640 | ||||||||
\(585\) | 5.27094e11 | + | 3.82956e11i | 0.186074 | + | 0.135191i | ||||
\(586\) | −1.52459e11 | + | 4.69220e11i | −0.0534089 | + | 0.164376i | ||||
\(587\) | 1.45900e12 | + | 4.49035e12i | 0.507207 | + | 1.56102i | 0.797028 | + | 0.603942i | \(0.206404\pi\) |
−0.289822 | + | 0.957081i | \(0.593596\pi\) | |||||||
\(588\) | −3.47731e11 | + | 2.52642e11i | −0.119963 | + | 0.0871579i | ||||
\(589\) | −6.06872e11 | + | 4.40918e11i | −0.207768 | + | 0.150952i | ||||
\(590\) | 5.85808e11 | + | 1.80293e12i | 0.199031 | + | 0.612555i | ||||
\(591\) | −1.18771e11 | + | 3.65539e11i | −0.0400466 | + | 0.123251i | ||||
\(592\) | 4.18591e11 | + | 3.04124e11i | 0.140069 | + | 0.101766i | ||||
\(593\) | −2.28230e12 | −0.757925 | −0.378962 | − | 0.925412i | \(-0.623719\pi\) | ||||
−0.378962 | + | 0.925412i | \(0.623719\pi\) | |||||||
\(594\) | −3.92037e11 | − | 1.12058e12i | −0.129208 | − | 0.369322i | ||||
\(595\) | −2.67606e12 | −0.875325 | ||||||||
\(596\) | 2.07599e11 | + | 1.50830e11i | 0.0673934 | + | 0.0489641i | ||||
\(597\) | −1.34902e11 | + | 4.15186e11i | −0.0434644 | + | 0.133770i | ||||
\(598\) | 1.56373e11 | + | 4.81265e11i | 0.0500041 | + | 0.153897i | ||||
\(599\) | −5.84457e11 | + | 4.24633e11i | −0.185495 | + | 0.134770i | −0.676657 | − | 0.736298i | \(-0.736572\pi\) |
0.491162 | + | 0.871068i | \(0.336572\pi\) | |||||||
\(600\) | −5.05870e11 | + | 3.67536e11i | −0.159352 | + | 0.115776i | ||||
\(601\) | 5.54294e11 | + | 1.70594e12i | 0.173303 | + | 0.533371i | 0.999552 | − | 0.0299341i | \(-0.00952973\pi\) |
−0.826249 | + | 0.563305i | \(0.809530\pi\) | |||||||
\(602\) | 1.75668e11 | − | 5.40650e11i | 0.0545140 | − | 0.167777i | ||||
\(603\) | −3.15955e12 | − | 2.29555e12i | −0.973191 | − | 0.707064i | ||||
\(604\) | −3.38857e12 | −1.03598 | ||||||||
\(605\) | −1.11453e12 | + | 4.03659e12i | −0.338214 | + | 1.22494i | ||||
\(606\) | 1.14219e12 | 0.344042 | ||||||||
\(607\) | 2.57519e11 | + | 1.87099e11i | 0.0769946 | + | 0.0559399i | 0.625617 | − | 0.780131i | \(-0.284847\pi\) |
−0.548622 | + | 0.836070i | \(0.684847\pi\) | |||||||
\(608\) | 4.92234e11 | − | 1.51494e12i | 0.146085 | − | 0.449604i | ||||
\(609\) | 8.05065e10 | + | 2.47773e11i | 0.0237166 | + | 0.0729923i | ||||
\(610\) | −2.52221e12 | + | 1.83250e12i | −0.737561 | + | 0.535869i | ||||
\(611\) | 2.35436e11 | − | 1.71054e11i | 0.0683419 | − | 0.0496533i | ||||
\(612\) | 9.88087e11 | + | 3.04102e12i | 0.284717 | + | 0.876270i | ||||
\(613\) | 9.72591e11 | − | 2.99333e12i | 0.278201 | − | 0.856213i | −0.710154 | − | 0.704046i | \(-0.751375\pi\) |
0.988355 | − | 0.152167i | \(-0.0486252\pi\) | |||||||
\(614\) | −2.94705e11 | − | 2.14116e11i | −0.0836817 | − | 0.0607983i | ||||
\(615\) | 7.85045e10 | 0.0221287 | ||||||||
\(616\) | −4.61735e11 | − | 1.31981e12i | −0.129205 | − | 0.369315i | ||||
\(617\) | 2.45770e12 | 0.682726 | 0.341363 | − | 0.939932i | \(-0.389111\pi\) | ||||
0.341363 | + | 0.939932i | \(0.389111\pi\) | |||||||
\(618\) | −2.81096e11 | − | 2.04228e11i | −0.0775188 | − | 0.0563207i | ||||
\(619\) | −5.62964e11 | + | 1.73263e12i | −0.154125 | + | 0.474348i | −0.998071 | − | 0.0620801i | \(-0.980227\pi\) |
0.843946 | + | 0.536428i | \(0.180227\pi\) | |||||||
\(620\) | −4.16869e11 | − | 1.28299e12i | −0.113302 | − | 0.348707i | ||||
\(621\) | 2.15091e12 | − | 1.56273e12i | 0.580377 | − | 0.421669i | ||||
\(622\) | −2.75823e12 | + | 2.00397e12i | −0.738879 | + | 0.536827i | ||||
\(623\) | −6.58565e11 | − | 2.02685e12i | −0.175147 | − | 0.539046i | ||||
\(624\) | 9.30635e9 | − | 2.86420e10i | 0.00245725 | − | 0.00756263i | ||||
\(625\) | 3.81697e12 | + | 2.77319e12i | 1.00060 | + | 0.726976i | ||||
\(626\) | 1.17633e12 | 0.306158 | ||||||||
\(627\) | 1.71409e11 | − | 5.70700e11i | 0.0442925 | − | 0.147470i | ||||
\(628\) | 3.18855e12 | 0.818041 | ||||||||
\(629\) | −7.80588e12 | − | 5.67130e12i | −1.98835 | − | 1.44462i | ||||
\(630\) | −3.52355e11 | + | 1.08444e12i | −0.0891143 | + | 0.274266i | ||||
\(631\) | −8.34341e11 | − | 2.56784e12i | −0.209513 | − | 0.644816i | −0.999498 | − | 0.0316888i | \(-0.989911\pi\) |
0.789984 | − | 0.613127i | \(-0.210089\pi\) | |||||||
\(632\) | −2.34313e12 | + | 1.70239e12i | −0.584212 | + | 0.424455i | ||||
\(633\) | −1.73983e12 | + | 1.26406e12i | −0.430716 | + | 0.312934i | ||||
\(634\) | −6.38496e11 | − | 1.96509e12i | −0.156948 | − | 0.483037i | ||||
\(635\) | 5.27882e10 | − | 1.62465e11i | 0.0128841 | − | 0.0396533i | ||||
\(636\) | 5.99225e11 | + | 4.35363e11i | 0.145222 | + | 0.105510i | ||||
\(637\) | 7.12955e11 | 0.171567 | ||||||||
\(638\) | 1.82332e12 | − | 4.08171e10i | 0.435681 | − | 0.00975325i | ||||
\(639\) | 7.26845e12 | 1.72460 | ||||||||
\(640\) | 1.94551e12 | + | 1.41350e12i | 0.458379 | + | 0.333032i | ||||
\(641\) | −1.52582e10 | + | 4.69600e10i | −0.00356979 | + | 0.0109867i | −0.952826 | − | 0.303518i | \(-0.901839\pi\) |
0.949256 | + | 0.314505i | \(0.101839\pi\) | |||||||
\(642\) | 3.29001e11 | + | 1.01256e12i | 0.0764346 | + | 0.235242i | ||||
\(643\) | 6.56275e11 | − | 4.76812e11i | 0.151404 | − | 0.110001i | −0.509504 | − | 0.860468i | \(-0.670171\pi\) |
0.660908 | + | 0.750467i | \(0.270171\pi\) | |||||||
\(644\) | 9.08415e11 | − | 6.60002e11i | 0.208112 | − | 0.151202i | ||||
\(645\) | 3.75451e11 | + | 1.15552e12i | 0.0854151 | + | 0.262881i | ||||
\(646\) | 8.23750e11 | − | 2.53524e12i | 0.186101 | − | 0.572760i | ||||
\(647\) | −7.81463e11 | − | 5.67766e11i | −0.175323 | − | 0.127380i | 0.496663 | − | 0.867944i | \(-0.334559\pi\) |
−0.671986 | + | 0.740564i | \(0.734559\pi\) | |||||||
\(648\) | 3.35453e12 | 0.747384 | ||||||||
\(649\) | 2.74479e12 | − | 2.08964e12i | 0.607306 | − | 0.462349i | ||||
\(650\) | 3.71923e11 | 0.0817228 | ||||||||
\(651\) | 2.23759e11 | + | 1.62571e11i | 0.0488277 | + | 0.0354754i | ||||
\(652\) | 6.94983e10 | − | 2.13894e11i | 0.0150612 | − | 0.0463536i | ||||
\(653\) | 1.01261e11 | + | 3.11650e11i | 0.0217938 | + | 0.0670745i | 0.961362 | − | 0.275288i | \(-0.0887731\pi\) |
−0.939568 | + | 0.342362i | \(0.888773\pi\) | |||||||
\(654\) | 7.28072e11 | − | 5.28975e11i | 0.155623 | − | 0.113067i | ||||
\(655\) | −3.80186e12 | + | 2.76222e12i | −0.807069 | + | 0.586370i | ||||
\(656\) | 1.05902e10 | + | 3.25933e10i | 0.00223273 | + | 0.00687164i | ||||
\(657\) | 1.04623e12 | − | 3.21997e12i | 0.219070 | − | 0.674229i | ||||
\(658\) | 4.12041e11 | + | 2.99365e11i | 0.0856888 | + | 0.0622565i | ||||
\(659\) | 2.05454e12 | 0.424355 | 0.212178 | − | 0.977231i | \(-0.431944\pi\) | ||||
0.212178 | + | 0.977231i | \(0.431944\pi\) | |||||||
\(660\) | 8.80838e11 | + | 6.10321e11i | 0.180696 | + | 0.125202i | ||||
\(661\) | −2.31093e12 | −0.470848 | −0.235424 | − | 0.971893i | \(-0.575648\pi\) | ||||
−0.235424 | + | 0.971893i | \(0.575648\pi\) | |||||||
\(662\) | 2.03597e12 | + | 1.47922e12i | 0.412012 | + | 0.299344i | ||||
\(663\) | −1.73545e11 | + | 5.34115e11i | −0.0348819 | + | 0.107355i | ||||
\(664\) | −2.57293e12 | − | 7.91865e12i | −0.513654 | − | 1.58087i | ||||
\(665\) | −9.75070e11 | + | 7.08430e11i | −0.193347 | + | 0.140475i | ||||
\(666\) | −3.32601e12 | + | 2.41649e12i | −0.655073 | + | 0.475939i | ||||
\(667\) | 1.26212e12 | + | 3.88440e12i | 0.246907 | + | 0.759903i | ||||
\(668\) | −1.54428e11 | + | 4.75279e11i | −0.0300076 | + | 0.0923538i | ||||
\(669\) | −4.31585e11 | − | 3.13565e11i | −0.0833006 | − | 0.0605215i | ||||
\(670\) | −5.85525e12 | −1.12256 | ||||||||
\(671\) | 4.66325e12 | + | 3.23111e12i | 0.888050 | + | 0.615318i | ||||
\(672\) | −5.87318e11 | −0.111099 | ||||||||
\(673\) | −5.50807e12 | − | 4.00185e12i | −1.03498 | − | 0.751956i | −0.0656798 | − | 0.997841i | \(-0.520922\pi\) |
−0.969299 | + | 0.245885i | \(0.920922\pi\) | |||||||
\(674\) | 4.16359e11 | − | 1.28142e12i | 0.0777138 | − | 0.239179i | ||||
\(675\) | −6.03841e11 | − | 1.85843e12i | −0.111958 | − | 0.344571i | ||||
\(676\) | −2.35733e12 | + | 1.71270e12i | −0.434170 | + | 0.315443i | ||||
\(677\) | −6.90131e11 | + | 5.01410e11i | −0.126265 | + | 0.0917368i | −0.649125 | − | 0.760682i | \(-0.724865\pi\) |
0.522860 | + | 0.852418i | \(0.324865\pi\) | |||||||
\(678\) | 8.18185e10 | + | 2.51811e11i | 0.0148702 | + | 0.0457659i | ||||
\(679\) | 7.25274e11 | − | 2.23216e12i | 0.130945 | − | 0.403007i | ||||
\(680\) | 1.08156e13 | + | 7.85802e12i | 1.93982 | + | 1.40936i | ||||
\(681\) | 3.05992e12 | 0.545190 | ||||||||
\(682\) | 1.54054e12 | − | 1.17283e12i | 0.272673 | − | 0.207589i | ||||
\(683\) | −7.87486e12 | −1.38468 | −0.692341 | − | 0.721571i | \(-0.743420\pi\) | ||||
−0.692341 | + | 0.721571i | \(0.743420\pi\) | |||||||
\(684\) | 1.16507e12 | + | 8.46475e11i | 0.203517 | + | 0.147864i | ||||
\(685\) | −7.14595e11 | + | 2.19930e12i | −0.124009 | + | 0.381660i | ||||
\(686\) | 8.35407e11 | + | 2.57112e12i | 0.144026 | + | 0.443265i | ||||
\(687\) | −2.30018e12 | + | 1.67118e12i | −0.393964 | + | 0.286231i | ||||
\(688\) | −4.29097e11 | + | 3.11757e11i | −0.0730142 | + | 0.0530479i | ||||
\(689\) | −3.79656e11 | − | 1.16846e12i | −0.0641807 | − | 0.197528i | ||||
\(690\) | 5.84911e11 | − | 1.80017e12i | 0.0982356 | − | 0.302338i | ||||
\(691\) | −1.86173e12 | − | 1.35263e12i | −0.310646 | − | 0.225698i | 0.421528 | − | 0.906816i | \(-0.361494\pi\) |
−0.732174 | + | 0.681118i | \(0.761494\pi\) | |||||||
\(692\) | −1.06139e12 | −0.175953 | ||||||||
\(693\) | 2.07443e12 | − | 4.64385e10i | 0.341663 | − | 0.00764854i | ||||
\(694\) | 2.14876e12 | 0.351617 | ||||||||
\(695\) | −5.18661e12 | − | 3.76829e12i | −0.843241 | − | 0.612650i | ||||
\(696\) | 4.02188e11 | − | 1.23781e12i | 0.0649663 | − | 0.199946i | ||||
\(697\) | −1.97486e11 | − | 6.07799e11i | −0.0316948 | − | 0.0975466i | ||||
\(698\) | −3.53526e12 | + | 2.56852e12i | −0.563731 | + | 0.409575i | ||||
\(699\) | 9.32421e11 | − | 6.77444e11i | 0.147729 | − | 0.107331i | ||||
\(700\) | −2.55026e11 | − | 7.84888e11i | −0.0401460 | − | 0.123557i | ||||
\(701\) | 1.43575e12 | − | 4.41880e12i | 0.224569 | − | 0.691151i | −0.773767 | − | 0.633471i | \(-0.781630\pi\) |
0.998335 | − | 0.0576800i | \(-0.0183703\pi\) | |||||||
\(702\) | 4.07684e11 | + | 2.96200e11i | 0.0633587 | + | 0.0460328i | ||||
\(703\) | −4.34557e12 | −0.671039 | ||||||||
\(704\) | −1.42338e12 | + | 4.73909e12i | −0.218395 | + | 0.727139i | ||||
\(705\) | −1.08854e12 | −0.165956 | ||||||||
\(706\) | 1.47996e11 | + | 1.07525e11i | 0.0224196 | + | 0.0162888i | ||||
\(707\) | −1.29911e12 | + | 3.99824e12i | −0.195550 | + | 0.601840i | ||||
\(708\) | −2.72795e11 | − | 8.39577e11i | −0.0408025 | − | 0.125577i | ||||
\(709\) | −7.86860e12 | + | 5.71687e12i | −1.16947 | + | 0.849670i | −0.990945 | − | 0.134265i | \(-0.957133\pi\) |
−0.178525 | + | 0.983935i | \(0.557133\pi\) | |||||||
\(710\) | 8.81611e12 | − | 6.40528e12i | 1.30201 | − | 0.945965i | ||||
\(711\) | −1.32814e12 | − | 4.08761e12i | −0.194909 | − | 0.599869i | ||||
\(712\) | −3.29001e12 | + | 1.01256e13i | −0.479774 | + | 1.47659i | ||||
\(713\) | 3.50792e12 | + | 2.54866e12i | 0.508332 | + | 0.369325i | ||||
\(714\) | −9.82871e11 | −0.141532 | ||||||||
\(715\) | −5.86984e11 | − | 1.67781e12i | −0.0839941 | − | 0.240086i | ||||
\(716\) | −3.67242e12 | −0.522209 | ||||||||
\(717\) | −9.85516e11 | − | 7.16019e11i | −0.139260 | − | 0.101179i | ||||
\(718\) | 1.08490e12 | − | 3.33899e12i | 0.152346 | − | 0.468872i | ||||
\(719\) | −2.64421e11 | − | 8.13804e11i | −0.0368991 | − | 0.113564i | 0.930910 | − | 0.365248i | \(-0.119016\pi\) |
−0.967810 | + | 0.251684i | \(0.919016\pi\) | |||||||
\(720\) | 8.60684e11 | − | 6.25323e11i | 0.119357 | − | 0.0867178i | ||||
\(721\) | 1.03462e12 | − | 7.51693e11i | 0.142584 | − | 0.103593i | ||||
\(722\) | 1.12726e12 | + | 3.46936e12i | 0.154386 | + | 0.475151i | ||||
\(723\) | 1.29149e11 | − | 3.97479e11i | 0.0175780 | − | 0.0540994i | ||||
\(724\) | 1.02051e12 | + | 7.41442e11i | 0.138036 | + | 0.100289i | ||||
\(725\) | 3.00188e12 | 0.403526 | ||||||||
\(726\) | −4.09347e11 | + | 1.48257e12i | −0.0546861 | + | 0.198062i | ||||
\(727\) | 1.20392e13 | 1.59842 | 0.799210 | − | 0.601052i | \(-0.205251\pi\) | ||||
0.799210 | + | 0.601052i | \(0.205251\pi\) | |||||||
\(728\) | 4.80163e11 | + | 3.48859e11i | 0.0633575 | + | 0.0460319i | ||||
\(729\) | −1.10864e12 | + | 3.41204e12i | −0.145384 | + | 0.447446i | ||||
\(730\) | −1.56857e12 | − | 4.82757e12i | −0.204433 | − | 0.629181i | ||||
\(731\) | 8.00179e12 | − | 5.81364e12i | 1.03648 | − | 0.753044i | ||||
\(732\) | 1.17453e12 | − | 8.53344e11i | 0.151204 | − | 0.109856i | ||||
\(733\) | 1.98651e12 | + | 6.11384e12i | 0.254169 | + | 0.782250i | 0.993992 | + | 0.109450i | \(0.0349089\pi\) |
−0.739824 | + | 0.672801i | \(0.765091\pi\) | |||||||
\(734\) | 1.97872e12 | − | 6.08987e12i | 0.251624 | − | 0.774418i | ||||
\(735\) | −2.15749e12 | − | 1.56751e12i | −0.272681 | − | 0.198115i | ||||
\(736\) | −9.20752e12 | −1.15662 | ||||||||
\(737\) | 3.51855e12 | + | 1.00573e13i | 0.439299 | + | 1.25568i | ||||
\(738\) | −2.72305e11 | −0.0337911 | ||||||||
\(739\) | 1.28772e12 | + | 9.35582e11i | 0.158826 | + | 0.115394i | 0.664360 | − | 0.747413i | \(-0.268704\pi\) |
−0.505534 | + | 0.862807i | \(0.668704\pi\) | |||||||
\(740\) | 2.41494e12 | − | 7.43242e12i | 0.296049 | − | 0.911145i | ||||
\(741\) | 7.81617e10 | + | 2.40557e11i | 0.00952383 | + | 0.0293113i | ||||
\(742\) | 1.73954e12 | − | 1.26385e12i | 0.210676 | − | 0.153065i | ||||
\(743\) | 6.67205e12 | − | 4.84753e12i | 0.803174 | − | 0.583540i | −0.108670 | − | 0.994078i | \(-0.534659\pi\) |
0.911843 | + | 0.410538i | \(0.134659\pi\) | |||||||
\(744\) | −4.26977e11 | − | 1.31410e12i | −0.0510888 | − | 0.157235i | ||||
\(745\) | −4.91988e11 | + | 1.51418e12i | −0.0585129 | + | 0.180084i | ||||
\(746\) | −6.33611e12 | − | 4.60345e12i | −0.749028 | − | 0.544201i | ||||
\(747\) | 1.23557e13 | 1.45186 | ||||||||
\(748\) | 2.50940e12 | − | 8.35496e12i | 0.293098 | − | 0.975859i | ||||
\(749\) | −3.91868e12 | −0.454958 | ||||||||
\(750\) | 7.04958e11 | + | 5.12182e11i | 0.0813556 | + | 0.0591083i | ||||
\(751\) | −2.27007e12 | + | 6.98655e12i | −0.260411 | + | 0.801462i | 0.732304 | + | 0.680977i | \(0.238445\pi\) |
−0.992715 | + | 0.120485i | \(0.961555\pi\) | |||||||
\(752\) | −1.46843e11 | − | 4.51936e11i | −0.0167445 | − | 0.0515344i | ||||
\(753\) | 2.18339e11 | − | 1.58633e11i | 0.0247488 | − | 0.0179811i | ||||
\(754\) | −6.26292e11 | + | 4.55028e11i | −0.0705676 | + | 0.0512704i | ||||
\(755\) | −6.49687e12 | − | 1.99953e13i | −0.727684 | − | 2.23958i | ||||
\(756\) | 3.45538e11 | − | 1.06346e12i | 0.0384723 | − | 0.118406i | ||||
\(757\) | −1.49278e12 | − | 1.08456e12i | −0.165220 | − | 0.120039i | 0.502103 | − | 0.864808i | \(-0.332560\pi\) |
−0.667323 | + | 0.744768i | \(0.732560\pi\) | |||||||
\(758\) | −8.00178e12 | −0.880390 | ||||||||
\(759\) | −3.44356e12 | + | 7.70882e10i | −0.376634 | + | 0.00843140i | ||||
\(760\) | 6.02111e12 | 0.654660 | ||||||||
\(761\) | 7.79929e12 | + | 5.66651e12i | 0.842993 | + | 0.612470i | 0.923205 | − | 0.384308i | \(-0.125560\pi\) |
−0.0802121 | + | 0.996778i | \(0.525560\pi\) | |||||||
\(762\) | 1.93882e10 | − | 5.96708e10i | 0.00208325 | − | 0.00641157i | ||||
\(763\) | 1.02358e12 | + | 3.15027e12i | 0.109336 | + | 0.336501i | ||||
\(764\) | −2.53665e12 | + | 1.84298e12i | −0.269364 | + | 0.195705i | ||||
\(765\) | −1.60500e13 | + | 1.16610e13i | −1.69433 | + | 1.23101i | ||||
\(766\) | 2.97342e12 | + | 9.15126e12i | 0.312052 | + | 0.960398i | ||||
\(767\) | −4.52494e11 | + | 1.39263e12i | −0.0472099 | + | 0.145297i | ||||
\(768\) | 2.54696e12 | + | 1.85047e12i | 0.264178 | + | 0.191936i | ||||
\(769\) | 1.36679e13 | 1.40940 | 0.704700 | − | 0.709506i | \(-0.251082\pi\) | ||||
0.704700 | + | 0.709506i | \(0.251082\pi\) | |||||||
\(770\) | 2.47520e12 | − | 1.88440e12i | 0.253748 | − | 0.193181i | ||||
\(771\) | 3.46761e12 | 0.353416 | ||||||||
\(772\) | −2.19163e12 | − | 1.59232e12i | −0.222070 | − | 0.161343i | ||||
\(773\) | 6.34400e11 | − | 1.95248e12i | 0.0639081 | − | 0.196689i | −0.914004 | − | 0.405705i | \(-0.867026\pi\) |
0.977912 | + | 0.209016i | \(0.0670261\pi\) | |||||||
\(774\) | −1.30231e12 | − | 4.00810e12i | −0.130431 | − | 0.401424i | ||||
\(775\) | 2.57825e12 | − | 1.87321e12i | 0.256725 | − | 0.186521i | ||||
\(776\) | −9.48584e12 | + | 6.89187e12i | −0.939071 | + | 0.682275i | ||||
\(777\) | 4.95123e11 | + | 1.52383e12i | 0.0487324 | + | 0.149983i | ||||
\(778\) | −1.64565e12 | + | 5.06478e12i | −0.161038 | + | 0.495624i | ||||
\(779\) | −2.32859e11 | − | 1.69182e11i | −0.0226556 | − | 0.0164602i | ||||
\(780\) | −4.54872e11 | −0.0440011 | ||||||||
\(781\) | −1.62999e13 | − | 1.12940e13i | −1.56767 | − | 1.08622i | ||||
\(782\) | −1.54087e13 | −1.47345 | ||||||||
\(783\) | 3.29051e12 | + | 2.39069e12i | 0.312849 | + | 0.227298i | ||||
\(784\) | 3.59750e11 | − | 1.10720e12i | 0.0340078 | − | 0.104665i | ||||
\(785\) | 6.11337e12 | + | 1.88150e13i | 0.574602 | + | 1.76844i | ||||
\(786\) | −1.39636e12 | + | 1.01452e12i | −0.130496 | + | 0.0948106i | ||||
\(787\) | 3.13616e12 | − | 2.27855e12i | 0.291415 | − | 0.211725i | −0.432466 | − | 0.901650i | \(-0.642357\pi\) |
0.723881 | + | 0.689925i | \(0.242357\pi\) | |||||||
\(788\) | 7.83120e11 | + | 2.41019e12i | 0.0723536 | + | 0.222681i | ||||
\(789\) | −1.77381e12 | + | 5.45923e12i | −0.162952 | + | 0.501516i | ||||
\(790\) | −5.21312e12 | − | 3.78756e12i | −0.476185 | − | 0.345969i | ||||
\(791\) | −9.74525e11 | −0.0885114 | ||||||||
\(792\) | −8.52042e12 | − | 5.90368e12i | −0.769480 | − | 0.533163i | ||||
\(793\) | −2.40814e12 | −0.216248 | ||||||||
\(794\) | 9.05290e11 | + | 6.57732e11i | 0.0808343 | + | 0.0587295i | ||||
\(795\) | −1.42010e12 | + | 4.37063e12i | −0.126086 | + | 0.388053i | ||||
\(796\) | 8.89481e11 | + | 2.73754e12i | 0.0785286 | + | 0.241686i | ||||
\(797\) | 2.33556e12 | − | 1.69688e12i | 0.205035 | − | 0.148967i | −0.480529 | − | 0.876979i | \(-0.659555\pi\) |
0.685565 | + | 0.728012i | \(0.259555\pi\) | |||||||
\(798\) | −3.58127e11 | + | 2.60194e11i | −0.0312625 | + | 0.0227135i | ||||
\(799\) | 2.73833e12 | + | 8.42770e12i | 0.237697 | + | 0.731558i | ||||
\(800\) | −2.09122e12 | + | 6.43612e12i | −0.180507 | + | 0.555545i | ||||
\(801\) | −1.27819e13 | − | 9.28660e12i | −1.09711 | − | 0.797096i | ||||
\(802\) | 1.87003e12 | 0.159612 | ||||||||
\(803\) | −7.34951e12 | + | 5.59526e12i | −0.623790 | + | 0.474898i | ||||
\(804\) | 2.72663e12 | 0.230131 | ||||||||
\(805\) | 5.63623e12 | + | 4.09496e12i | 0.473050 | + | 0.343691i | ||||
\(806\) | −2.53966e11 | + | 7.81628e11i | −0.0211967 | + | 0.0652367i | ||||
\(807\) | −1.12850e12 | − | 3.47315e12i | −0.0936632 | − | 0.288266i | ||||
\(808\) | 1.69910e13 | − | 1.23447e13i | 1.40238 | − | 1.01889i | ||||
\(809\) | 1.18071e13 | − | 8.57836e12i | 0.969114 | − | 0.704103i | 0.0138646 | − | 0.999904i | \(-0.495587\pi\) |
0.955250 | + | 0.295801i | \(0.0955866\pi\) | |||||||
\(810\) | 2.30629e12 | + | 7.09804e12i | 0.188249 | + | 0.579370i | ||||
\(811\) | 5.58533e12 | − | 1.71899e13i | 0.453372 | − | 1.39534i | −0.419663 | − | 0.907680i | \(-0.637852\pi\) |
0.873035 | − | 0.487657i | \(-0.162148\pi\) | |||||||
\(812\) | 1.38971e12 | + | 1.00968e12i | 0.112182 | + | 0.0815049i | ||||
\(813\) | −1.34492e12 | −0.107966 | ||||||||
\(814\) | 1.12136e13 | − | 2.51029e11i | 0.895229 | − | 0.0200408i | ||||
\(815\) | 1.39539e12 | 0.110787 | ||||||||
\(816\) | 7.41895e11 | + | 5.39018e11i | 0.0585783 | + | 0.0425596i | ||||
\(817\) | 1.37656e12 | − | 4.23661e12i | 0.108092 | − | 0.332674i | ||||
\(818\) | 1.69989e12 | + | 5.23173e12i | 0.132749 | + | 0.408560i | ||||
\(819\) | −7.12545e11 | + | 5.17695e11i | −0.0553395 | + | 0.0402065i | ||||
\(820\) | 4.18766e11 | − | 3.04251e11i | 0.0323451 | − | 0.0235001i | ||||
\(821\) | −3.13780e12 | − | 9.65716e12i | −0.241036 | − | 0.741831i | −0.996263 | − | 0.0863686i | \(-0.972474\pi\) |
0.755228 | − | 0.655462i | \(-0.227526\pi\) | |||||||
\(822\) | −2.62459e11 | + | 8.07765e11i | −0.0200511 | + | 0.0617109i | ||||
\(823\) | −6.25532e8 | − | 4.54475e8i | −4.75281e−5 | − | 3.45312e-5i | 0.587761 | − | 0.809034i | \(-0.300009\pi\) |
−0.587809 | + | 0.809000i | \(0.700009\pi\) | |||||||
\(824\) | −6.38881e12 | −0.482778 | ||||||||
\(825\) | −7.28219e11 | + | 2.42458e12i | −0.0547293 | + | 0.182219i | ||||
\(826\) | −2.56270e12 | −0.191552 | ||||||||
\(827\) | −1.05270e13 | − | 7.64830e12i | −0.782580 | − | 0.568578i | 0.123172 | − | 0.992385i | \(-0.460693\pi\) |
−0.905752 | + | 0.423807i | \(0.860693\pi\) | |||||||
\(828\) | 2.57235e12 | − | 7.91689e12i | 0.190193 | − | 0.585354i | ||||
\(829\) | 2.55032e12 | + | 7.84907e12i | 0.187542 | + | 0.577195i | 0.999983 | − | 0.00584846i | \(-0.00186163\pi\) |
−0.812441 | + | 0.583044i | \(0.801862\pi\) | |||||||
\(830\) | 1.49866e13 | − | 1.08884e13i | 1.09610 | − | 0.796366i | ||||
\(831\) | 4.70666e12 | − | 3.41959e12i | 0.342380 | − | 0.248754i | ||||
\(832\) | −6.49053e11 | − | 1.99758e12i | −0.0469597 | − | 0.144527i | ||||
\(833\) | −6.70860e12 | + | 2.06470e13i | −0.482758 | + | 1.48578i | ||||
\(834\) | −1.90495e12 | − | 1.38403e12i | −0.136344 | − | 0.0990599i | ||||
\(835\) | −3.10061e12 | −0.220728 | ||||||||
\(836\) | −1.29745e12 | − | 3.70859e12i | −0.0918678 | − | 0.262591i | ||||
\(837\) | 4.31797e12 | 0.304099 | ||||||||
\(838\) | 1.01438e13 | + | 7.36992e12i | 0.710565 | + | 0.516256i | ||||
\(839\) | 5.35676e12 | − | 1.64864e13i | 0.373228 | − | 1.14868i | −0.571439 | − | 0.820644i | \(-0.693615\pi\) |
0.944667 | − | 0.328032i | \(-0.106385\pi\) | |||||||
\(840\) | −6.86029e11 | − | 2.11138e12i | −0.0475429 | − | 0.146322i | ||||
\(841\) | 6.68159e12 | − | 4.85446e12i | 0.460572 | − | 0.334625i | ||||
\(842\) | 9.79031e12 | − | 7.11308e12i | 0.671262 | − | 0.487700i | ||||
\(843\) | −2.27099e12 | − | 6.98939e12i | −0.154878 | − | 0.476667i | ||||
\(844\) | −4.38179e12 | + | 1.34857e13i | −0.297242 | + | 0.914817i | ||||
\(845\) | −1.46260e13 | − | 1.06264e13i | −0.986891 | − | 0.717019i | ||||
\(846\) | 3.77576e12 | 0.253418 | ||||||||
\(847\) | −4.72416e12 | − | 3.11917e12i | −0.315391 | − | 0.208240i | ||||
\(848\) | −2.00615e12 | −0.133224 | ||||||||
\(849\) | 4.53795e12 | + | 3.29701e12i | 0.299761 | + | 0.217789i | ||||
\(850\) | −3.49964e12 | + | 1.07708e13i | −0.229953 | + | 0.707721i | ||||
\(851\) | 7.76215e12 | + | 2.38895e13i | 0.507340 | + | 1.56143i | ||||
\(852\) | −4.10543e12 | + | 2.98277e12i | −0.266919 | + | 0.193928i | ||||
\(853\) | 1.29388e13 | − | 9.40057e12i | 0.836802 | − | 0.607972i | −0.0846736 | − | 0.996409i | \(-0.526985\pi\) |
0.921475 | + | 0.388437i | \(0.126985\pi\) | |||||||
\(854\) | −1.30236e12 | − | 4.00826e12i | −0.0837859 | − | 0.257867i | ||||
\(855\) | −2.76110e12 | + | 8.49780e12i | −0.176699 | + | 0.543825i | ||||
\(856\) | 1.58378e13 | + | 1.15069e13i | 1.00824 | + | 0.732529i | ||||
\(857\) | −4.63914e12 | −0.293781 | −0.146891 | − | 0.989153i | \(-0.546927\pi\) | ||||
−0.146891 | + | 0.989153i | \(0.546927\pi\) | |||||||
\(858\) | −2.15589e11 | − | 6.16232e11i | −0.0135811 | − | 0.0388196i | ||||
\(859\) | −7.49881e12 | −0.469919 | −0.234960 | − | 0.972005i | \(-0.575496\pi\) | ||||
−0.234960 | + | 0.972005i | \(0.575496\pi\) | |||||||
\(860\) | 6.48108e12 | + | 4.70878e12i | 0.404021 | + | 0.293539i | ||||
\(861\) | −3.27946e10 | + | 1.00931e11i | −0.00203370 | + | 0.00625910i | ||||
\(862\) | −3.84357e11 | − | 1.18293e12i | −0.0237111 | − | 0.0729754i | ||||
\(863\) | −1.67219e13 | + | 1.21491e13i | −1.02621 | + | 0.745585i | −0.967547 | − | 0.252693i | \(-0.918684\pi\) |
−0.0586630 | + | 0.998278i | \(0.518684\pi\) | |||||||
\(864\) | −7.41802e12 | + | 5.38950e12i | −0.452872 | + | 0.329031i | ||||
\(865\) | −2.03498e12 | − | 6.26303e12i | −0.123591 | − | 0.380375i | ||||
\(866\) | −3.00743e12 | + | 9.25591e12i | −0.181704 | + | 0.559227i | ||||
\(867\) | −9.66990e12 | − | 7.02559e12i | −0.581214 | − | 0.422277i | ||||
\(868\) | 1.82365e12 | 0.109044 | ||||||||
\(869\) | −3.37303e12 | + | 1.12304e13i | −0.200646 | + | 0.668044i | ||||
\(870\) | 2.89566e12 | 0.171361 | ||||||||
\(871\) | −3.65898e12 | − | 2.65841e12i | −0.215416 | − | 0.156509i | ||||
\(872\) | 5.11354e12 | − | 1.57379e13i | 0.299500 | − | 0.921768i | ||||
\(873\) | −5.37680e12 | − | 1.65481e13i | −0.313300 | − | 0.964238i | ||||
\(874\) | −5.61444e12 | + | 4.07913e12i | −0.325465 | + | 0.236464i | ||||
\(875\) | −2.59470e12 | + | 1.88516e12i | −0.149641 | + | 0.108721i | ||||
\(876\) | 7.30443e11 | + | 2.24807e12i | 0.0419100 | + | 0.128986i | ||||
\(877\) | 2.48589e12 | − | 7.65078e12i | 0.141900 | − | 0.436725i | −0.854699 | − | 0.519124i | \(-0.826258\pi\) |
0.996599 | + | 0.0823994i | \(0.0262583\pi\) | |||||||
\(878\) | 9.17202e10 | + | 6.66386e10i | 0.00520882 | + | 0.00378443i | ||||
\(879\) | 1.42546e12 | 0.0805390 | ||||||||
\(880\) | −2.90177e12 | + | 6.49597e10i | −0.163114 | + | 0.00365150i | ||||
\(881\) | −2.72603e13 | −1.52454 | −0.762271 | − | 0.647258i | \(-0.775916\pi\) | ||||
−0.762271 | + | 0.647258i | \(0.775916\pi\) | |||||||
\(882\) | 7.48358e12 | + | 5.43714e12i | 0.416390 | + | 0.302525i | ||||
\(883\) | −7.56868e12 | + | 2.32940e13i | −0.418983 | + | 1.28950i | 0.489656 | + | 0.871916i | \(0.337123\pi\) |
−0.908639 | + | 0.417583i | \(0.862877\pi\) | |||||||
\(884\) | 1.14427e12 | + | 3.52171e12i | 0.0630224 | + | 0.193963i | ||||
\(885\) | 4.43115e12 | − | 3.21942e12i | 0.242813 | − | 0.176414i | ||||
\(886\) | −2.60655e11 | + | 1.89377e11i | −0.0142106 | + | 0.0103246i | ||||
\(887\) | −3.10971e12 | − | 9.57070e12i | −0.168680 | − | 0.519143i | 0.830609 | − | 0.556857i | \(-0.187993\pi\) |
−0.999289 | + | 0.0377132i | \(0.987993\pi\) | |||||||
\(888\) | 2.47350e12 | − | 7.61264e12i | 0.133491 | − | 0.410844i | ||||
\(889\) | 1.86826e11 | + | 1.35737e11i | 0.0100318 | + | 0.00728854i | ||||
\(890\) | −2.36873e13 | −1.26550 | ||||||||
\(891\) | 1.08061e13 | − | 8.22679e12i | 0.574405 | − | 0.437301i | ||||
\(892\) | −3.51744e12 | −0.186031 | ||||||||
\(893\) | 3.22881e12 | + | 2.34587e12i | 0.169907 | + | 0.123445i | ||||
\(894\) | −1.80699e11 | + | 5.56134e11i | −0.00946099 | + | 0.0291179i | ||||
\(895\) | −7.04109e12 | − | 2.16702e13i | −0.366806 | − | 1.12891i | ||||
\(896\) | −2.63002e12 | + | 1.91082e12i | −0.136324 | + | 0.0990454i | ||||
\(897\) | 1.18283e12 | − | 8.59376e11i | 0.0610037 | − | 0.0443218i | ||||
\(898\) | 4.34513e12 | + | 1.33729e13i | 0.222977 | + | 0.686251i | ||||
\(899\) | −2.04982e12 | + | 6.30870e12i | −0.104664 | + | 0.322122i | ||||
\(900\) | −4.94973e12 | − | 3.59619e12i | −0.251472 | − | 0.182705i | ||||
\(901\) | 3.74107e13 | 1.89119 | ||||||||
\(902\) | 6.10657e11 | + | 4.23116e11i | 0.0307162 | + | 0.0212829i | ||||
\(903\) | −1.64246e12 | −0.0822055 | ||||||||
\(904\) | 3.93867e12 | + | 2.86161e12i | 0.196151 | + | 0.142512i | ||||
\(905\) | −2.41850e12 | + | 7.44337e12i | −0.119847 | + | 0.368851i | ||||
\(906\) | −2.38619e12 | − | 7.34393e12i | −0.117660 | − | 0.362119i | ||||
\(907\) | 1.83727e13 | − | 1.33485e13i | 0.901445 | − | 0.654938i | −0.0373918 | − | 0.999301i | \(-0.511905\pi\) |
0.938837 | + | 0.344363i | \(0.111905\pi\) | |||||||
\(908\) | 1.63225e13 | − | 1.18590e13i | 0.796892 | − | 0.578976i | ||||
\(909\) | 9.63089e12 | + | 2.96408e13i | 0.467874 | + | 1.43997i | ||||
\(910\) | −4.08051e11 | + | 1.25585e12i | −0.0197255 | + | 0.0607089i | ||||
\(911\) | 3.12747e13 | + | 2.27224e13i | 1.50439 | + | 1.09300i | 0.968592 | + | 0.248655i | \(0.0799885\pi\) |
0.535796 | + | 0.844347i | \(0.320012\pi\) | |||||||
\(912\) | 4.13016e11 | 0.0197693 | ||||||||
\(913\) | −2.77083e13 | − | 1.91987e13i | −1.31975 | − | 0.914437i | ||||
\(914\) | 5.96165e12 | 0.282559 | ||||||||
\(915\) | 7.28733e12 | + | 5.29455e12i | 0.343695 | + | 0.249709i | ||||
\(916\) | −5.79302e12 | + | 1.78291e13i | −0.271879 | + | 0.836757i | ||||
\(917\) | −1.96312e12 | − | 6.04185e12i | −0.0916820 | − | 0.282168i | ||||
\(918\) | −1.24140e13 | + | 9.01929e12i | −0.576925 | + | 0.419160i | ||||
\(919\) | −3.21513e13 | + | 2.33593e13i | −1.48689 | + | 1.08029i | −0.511636 | + | 0.859202i | \(0.670960\pi\) |
−0.975254 | + | 0.221087i | \(0.929040\pi\) | |||||||
\(920\) | −1.07550e13 | − | 3.31006e13i | −0.494956 | − | 1.52332i | ||||
\(921\) | −3.25236e11 | + | 1.00097e12i | −0.0148947 | + | 0.0458411i | ||||
\(922\) | −1.85316e13 | − | 1.34640e13i | −0.844547 | − | 0.613599i | ||||
\(923\) | 8.41737e12 | 0.381741 | ||||||||
\(924\) | −1.15264e12 | + | 8.77515e11i | −0.0520198 | + | 0.0396032i | ||||
\(925\) | 1.84618e13 | 0.829158 | ||||||||
\(926\) | −9.41854e12 | − | 6.84297e12i | −0.420954 | − | 0.305841i | ||||
\(927\) | 2.92972e12 | − | 9.01675e12i | 0.130307 | − | 0.401043i | ||||
\(928\) | −4.35277e12 | − | 1.33964e13i | −0.192664 | − | 0.592958i | ||||
\(929\) | −7.68923e12 | + | 5.58656e12i | −0.338698 | + | 0.246078i | −0.744112 | − | 0.668055i | \(-0.767127\pi\) |
0.405414 | + | 0.914133i | \(0.367127\pi\) | |||||||
\(930\) | 2.48703e12 | − | 1.80693e12i | 0.109020 | − | 0.0792078i | ||||
\(931\) | 3.02144e12 | + | 9.29905e12i | 0.131808 | + | 0.405663i | ||||
\(932\) | 2.34831e12 | − | 7.22736e12i | 0.101949 | − | 0.313767i | ||||
\(933\) | 7.96922e12 | + | 5.78998e12i | 0.344309 | + | 0.250155i | ||||
\(934\) | 1.94620e13 | 0.836809 | ||||||||
\(935\) | 5.41122e13 | − | 1.21137e12i | 2.31549 | − | 0.0518350i | ||||
\(936\) | 4.40001e12 | 0.187375 | ||||||||
\(937\) | −3.37357e13 | − | 2.45104e13i | −1.42975 | − | 1.03878i | −0.990062 | − | 0.140629i | \(-0.955088\pi\) |
−0.439692 | − | 0.898149i | \(-0.644912\pi\) | |||||||
\(938\) | 2.44598e12 | − | 7.52795e12i | 0.103167 | − | 0.317515i | ||||
\(939\) | −1.05026e12 | − | 3.23238e12i | −0.0440863 | − | 0.135684i | ||||
\(940\) | −5.80658e12 | + | 4.21873e12i | −0.242574 | + | 0.176241i | ||||
\(941\) | 2.47139e13 | − | 1.79557e13i | 1.02752 | − | 0.746534i | 0.0597061 | − | 0.998216i | \(-0.480984\pi\) |
0.967810 | + | 0.251682i | \(0.0809837\pi\) | |||||||
\(942\) | 2.24534e12 | + | 6.91044e12i | 0.0929079 | + | 0.285941i | ||||
\(943\) | −5.14128e11 | + | 1.58232e12i | −0.0211723 | + | 0.0651618i | ||||
\(944\) | 1.93439e12 | + | 1.40542e12i | 0.0792811 | + | 0.0576011i | ||||
\(945\) | 6.93775e12 | 0.282993 | ||||||||
\(946\) | −3.30742e12 | + | 1.10119e13i | −0.134270 | + | 0.447047i | ||||
\(947\) | 2.15949e13 | 0.872521 | 0.436261 | − | 0.899820i | \(-0.356303\pi\) | ||||
0.436261 | + | 0.899820i | \(0.356303\pi\) | |||||||
\(948\) | 2.42761e12 | + | 1.76376e12i | 0.0976207 | + | 0.0709256i | ||||
\(949\) | 1.21161e12 | − | 3.72894e12i | 0.0484913 | − | 0.149241i | ||||
\(950\) | 1.57618e12 | + | 4.85099e12i | 0.0627841 | + | 0.193230i | ||||
\(951\) | −4.82969e12 | + | 3.50898e12i | −0.191473 | + | 0.139113i | ||||
\(952\) | −1.46210e13 | + | 1.06228e13i | −0.576913 | + | 0.419152i | ||||
\(953\) | 5.21586e12 | + | 1.60528e13i | 0.204837 | + | 0.630423i | 0.999720 | + | 0.0236604i | \(0.00753205\pi\) |
−0.794883 | + | 0.606762i | \(0.792468\pi\) | |||||||
\(954\) | 4.92584e12 | − | 1.51602e13i | 0.192536 | − | 0.592566i | ||||
\(955\) | −1.57386e13 | − | 1.14347e13i | −0.612279 | − | 0.444847i | ||||
\(956\) | −8.03202e12 | −0.311003 | ||||||||
\(957\) | −1.74007e12 | − | 4.97375e12i | −0.0670599 | − | 0.191681i | ||||
\(958\) | 1.87560e13 | 0.719442 | ||||||||
\(959\) | −2.52907e12 | − | 1.83747e12i | −0.0965554 | − | 0.0701516i | ||||
\(960\) | −2.42778e12 | + | 7.47194e12i | −0.0922547 | + | 0.283931i | ||||
\(961\) | −5.99414e12 | − | 1.84481e13i | −0.226710 | − | 0.697743i | ||||
\(962\) | −3.85175e12 | + | 2.79846e12i | −0.145001 | + | 0.105349i | ||||
\(963\) | −2.35028e13 | + | 1.70758e13i | −0.880645 | + | 0.639826i | ||||
\(964\) | −8.51548e11 | − | 2.62080e12i | −0.0317587 | − | 0.0977432i | ||||
\(965\) | 5.19395e12 | − | 1.59853e13i | 0.192808 | − | 0.593402i | ||||
\(966\) | 2.07009e12 | + | 1.50401e12i | 0.0764879 | + | 0.0555717i | ||||
\(967\) | −3.91786e13 | −1.44089 | −0.720443 | − | 0.693514i | \(-0.756062\pi\) | ||||
−0.720443 | + | 0.693514i | \(0.756062\pi\) | |||||||
\(968\) | 9.93411e12 | + | 2.64786e13i | 0.363655 | + | 0.969295i | ||||
\(969\) | −7.70192e12 | −0.280635 | ||||||||
\(970\) | −2.11046e13 | − | 1.53334e13i | −0.765427 | − | 0.556116i | ||||
\(971\) | −3.45396e12 | + | 1.06302e13i | −0.124690 | + | 0.383755i | −0.993844 | − | 0.110785i | \(-0.964664\pi\) |
0.869155 | + | 0.494540i | \(0.164664\pi\) | |||||||
\(972\) | −3.90686e12 | − | 1.20241e13i | −0.140388 | − | 0.432070i | ||||
\(973\) | 7.01145e12 | − | 5.09412e12i | 0.250784 | − | 0.182205i | ||||
\(974\) | 1.30324e12 | − | 9.46859e11i | 0.0463990 | − | 0.0337109i | ||||
\(975\) | −3.32064e11 | − | 1.02199e12i | −0.0117680 | − | 0.0362181i | ||||
\(976\) | −1.21512e12 | + | 3.73976e12i | −0.0428643 | + | 0.131923i | ||||
\(977\) | 6.16699e12 | + | 4.48058e12i | 0.216545 | + | 0.157329i | 0.690770 | − | 0.723075i | \(-0.257272\pi\) |
−0.474225 | + | 0.880404i | \(0.657272\pi\) | |||||||
\(978\) | 5.12504e11 | 0.0179132 | ||||||||
\(979\) | 1.42342e13 | + | 4.06866e13i | 0.495236 | + | 1.41556i | ||||
\(980\) | −1.75837e13 | −0.608965 | ||||||||
\(981\) | 1.98665e13 | + | 1.44338e13i | 0.684873 | + | 0.497589i | ||||
\(982\) | 1.91203e12 | − | 5.88463e12i | 0.0656135 | − | 0.201938i | ||||
\(983\) | 1.27534e13 | + | 3.92509e13i | 0.435647 | + | 1.34079i | 0.892422 | + | 0.451202i | \(0.149005\pi\) |
−0.456774 | + | 0.889583i | \(0.650995\pi\) | |||||||
\(984\) | 4.28919e11 | − | 3.11628e11i | 0.0145847 | − | 0.0105964i | ||||
\(985\) | −1.27206e13 | + | 9.24207e12i | −0.430571 | + | 0.312828i | ||||
\(986\) | −7.28432e12 | − | 2.24188e13i | −0.245439 | − | 0.755382i | ||||
\(987\) | 4.54728e11 | − | 1.39951e12i | 0.0152519 | − | 0.0469405i | ||||
\(988\) | 1.34924e12 | + | 9.80277e11i | 0.0450486 | + | 0.0327297i | ||||
\(989\) | −2.57493e13 | −0.855819 | ||||||||
\(990\) | 6.63402e12 | − | 2.20877e13i | 0.219492 | − | 0.730790i | ||||
\(991\) | −3.11534e13 | −1.02606 | −0.513032 | − | 0.858370i | \(-0.671478\pi\) | ||||
−0.513032 | + | 0.858370i | \(0.671478\pi\) | |||||||
\(992\) | −1.20981e13 | − | 8.78975e12i | −0.396655 | − | 0.288187i | ||||
\(993\) | 2.24689e12 | − | 6.91522e12i | 0.0733348 | − | 0.225701i | ||||
\(994\) | 4.55225e12 | + | 1.40104e13i | 0.147907 | + | 0.455210i | ||||
\(995\) | −1.44483e13 | + | 1.04973e13i | −0.467319 | + | 0.339527i | ||||
\(996\) | −6.97886e12 | + | 5.07044e12i | −0.224708 | + | 0.163260i | ||||
\(997\) | 3.50052e12 | + | 1.07735e13i | 0.112203 | + | 0.345325i | 0.991353 | − | 0.131219i | \(-0.0418891\pi\) |
−0.879150 | + | 0.476544i | \(0.841889\pi\) | |||||||
\(998\) | 4.18428e12 | − | 1.28779e13i | 0.133516 | − | 0.410920i | ||||
\(999\) | 2.02369e13 | + | 1.47030e13i | 0.642836 | + | 0.467048i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 11.10.c.a.4.6 | yes | 32 | |
3.2 | odd | 2 | 99.10.f.a.37.3 | 32 | |||
11.3 | even | 5 | inner | 11.10.c.a.3.6 | ✓ | 32 | |
11.5 | even | 5 | 121.10.a.h.1.6 | 16 | |||
11.6 | odd | 10 | 121.10.a.i.1.11 | 16 | |||
33.14 | odd | 10 | 99.10.f.a.91.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.10.c.a.3.6 | ✓ | 32 | 11.3 | even | 5 | inner | |
11.10.c.a.4.6 | yes | 32 | 1.1 | even | 1 | trivial | |
99.10.f.a.37.3 | 32 | 3.2 | odd | 2 | |||
99.10.f.a.91.3 | 32 | 33.14 | odd | 10 | |||
121.10.a.h.1.6 | 16 | 11.5 | even | 5 | |||
121.10.a.i.1.11 | 16 | 11.6 | odd | 10 |