Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,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, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.10 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.10 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.89788 | + | 44.8689i | −0.130326 | + | 0.991471i | ||||
\(3\) | 137.041 | + | 137.041i | 0.325600 | + | 0.325600i | 0.850911 | − | 0.525310i | \(-0.176051\pi\) |
−0.525310 | + | 0.850911i | \(0.676051\pi\) | |||||||
\(4\) | −1978.43 | − | 529.262i | −0.966030 | − | 0.258429i | ||||
\(5\) | 3899.66 | − | 3899.66i | 0.558074 | − | 0.558074i | −0.370685 | − | 0.928759i | \(-0.620877\pi\) |
0.928759 | + | 0.370685i | \(0.120877\pi\) | |||||||
\(6\) | −6957.14 | + | 5340.63i | −0.365257 | + | 0.280389i | ||||
\(7\) | − | 37938.5i | − | 0.853180i | −0.904445 | − | 0.426590i | \(-0.859715\pi\) | ||
0.904445 | − | 0.426590i | \(-0.140285\pi\) | |||||||
\(8\) | 35416.0 | − | 85648.4i | 0.382124 | − | 0.924111i | ||||
\(9\) | − | 139586.i | − | 0.787969i | ||||||
\(10\) | 151974. | + | 197973.i | 0.480583 | + | 0.626046i | ||||
\(11\) | −68184.4 | + | 68184.4i | −0.127651 | + | 0.127651i | −0.768046 | − | 0.640395i | \(-0.778771\pi\) |
0.640395 | + | 0.768046i | \(0.278771\pi\) | |||||||
\(12\) | −198596. | − | 343657.i | −0.230395 | − | 0.398684i | ||||
\(13\) | −109818. | − | 109818.i | −0.0820325 | − | 0.0820325i | 0.664900 | − | 0.746932i | \(-0.268474\pi\) |
−0.746932 | + | 0.664900i | \(0.768474\pi\) | |||||||
\(14\) | 1.70226e6 | + | 223757.i | 0.845904 | + | 0.111192i | ||||
\(15\) | 1.06883e6 | 0.363418 | ||||||||
\(16\) | 3.63407e6 | + | 2.09422e6i | 0.866429 | + | 0.499300i | ||||
\(17\) | 8.85033e6 | 1.51179 | 0.755893 | − | 0.654695i | \(-0.227203\pi\) | ||||
0.755893 | + | 0.654695i | \(0.227203\pi\) | |||||||
\(18\) | 6.26308e6 | + | 823264.i | 0.781249 | + | 0.102693i | ||||
\(19\) | −712421. | − | 712421.i | −0.0660073 | − | 0.0660073i | 0.673333 | − | 0.739340i | \(-0.264862\pi\) |
−0.739340 | + | 0.673333i | \(0.764862\pi\) | |||||||
\(20\) | −9.77915e6 | + | 5.65126e6i | −0.683339 | + | 0.394894i | ||||
\(21\) | 5.19914e6 | − | 5.19914e6i | 0.277796 | − | 0.277796i | ||||
\(22\) | −2.65721e6 | − | 3.46150e6i | −0.109926 | − | 0.143199i | ||||
\(23\) | − | 2.69728e7i | − | 0.873821i | −0.899505 | − | 0.436910i | \(-0.856073\pi\) | ||
0.899505 | − | 0.436910i | \(-0.143927\pi\) | |||||||
\(24\) | 1.65908e7 | − | 6.88392e6i | 0.425310 | − | 0.176471i | ||||
\(25\) | 1.84134e7i | 0.377107i | ||||||||
\(26\) | 5.57512e6 | − | 4.27973e6i | 0.0920239 | − | 0.0706419i | ||||
\(27\) | 4.34056e7 | − | 4.34056e7i | 0.582163 | − | 0.582163i | ||||
\(28\) | −2.00794e7 | + | 7.50587e7i | −0.220486 | + | 0.824198i | ||||
\(29\) | −1.10441e8 | − | 1.10441e8i | −0.999862 | − | 0.999862i | 0.000137853 | − | 1.00000i | \(-0.499956\pi\) |
−1.00000 | 0.000137853i | \(0.999956\pi\) | ||||||||
\(30\) | −6.30383e6 | + | 4.79572e7i | −0.0473628 | + | 0.360318i | ||||
\(31\) | −1.15699e8 | −0.725842 | −0.362921 | − | 0.931820i | \(-0.618221\pi\) | ||||
−0.362921 | + | 0.931820i | \(0.618221\pi\) | |||||||
\(32\) | −1.15398e8 | + | 1.50705e8i | −0.607960 | + | 0.793968i | ||||
\(33\) | −1.86882e7 | −0.0831266 | ||||||||
\(34\) | −5.21982e7 | + | 3.97104e8i | −0.197025 | + | 1.49889i | ||||
\(35\) | −1.47947e8 | − | 1.47947e8i | −0.476138 | − | 0.476138i | ||||
\(36\) | −7.38778e7 | + | 2.76162e8i | −0.203634 | + | 0.761202i | ||||
\(37\) | 3.15546e8 | − | 3.15546e8i | 0.748088 | − | 0.748088i | −0.226032 | − | 0.974120i | \(-0.572575\pi\) |
0.974120 | + | 0.226032i | \(0.0725754\pi\) | |||||||
\(38\) | 3.61673e7 | − | 2.77637e7i | 0.0740468 | − | 0.0568419i | ||||
\(39\) | − | 3.00993e7i | − | 0.0534196i | ||||||
\(40\) | −1.95889e8 | − | 4.72110e8i | −0.302469 | − | 0.728976i | ||||
\(41\) | − | 8.66621e8i | − | 1.16820i | −0.811681 | − | 0.584101i | \(-0.801447\pi\) | ||
0.811681 | − | 0.584101i | \(-0.198553\pi\) | |||||||
\(42\) | 2.02616e8 | + | 2.63943e8i | 0.239222 | + | 0.311630i | ||||
\(43\) | −3.13940e8 | + | 3.13940e8i | −0.325665 | + | 0.325665i | −0.850935 | − | 0.525271i | \(-0.823964\pi\) |
0.525271 | + | 0.850935i | \(0.323964\pi\) | |||||||
\(44\) | 1.70986e8 | − | 9.88107e7i | 0.156304 | − | 0.0903263i | ||||
\(45\) | −5.44339e8 | − | 5.44339e8i | −0.439745 | − | 0.439745i | ||||
\(46\) | 1.21024e9 | + | 1.59082e8i | 0.866368 | + | 0.113882i | ||||
\(47\) | 1.93131e9 | 1.22833 | 0.614164 | − | 0.789179i | \(-0.289493\pi\) | ||||
0.614164 | + | 0.789179i | \(0.289493\pi\) | |||||||
\(48\) | 2.11023e8 | + | 7.85012e8i | 0.119537 | + | 0.444682i | ||||
\(49\) | 5.37998e8 | 0.272083 | ||||||||
\(50\) | −8.26189e8 | − | 1.08600e8i | −0.373890 | − | 0.0491468i | ||||
\(51\) | 1.21286e9 | + | 1.21286e9i | 0.492238 | + | 0.492238i | ||||
\(52\) | 1.59145e8 | + | 2.75390e8i | 0.0580463 | + | 0.100446i | ||||
\(53\) | 8.24466e8 | − | 8.24466e8i | 0.270804 | − | 0.270804i | −0.558620 | − | 0.829424i | \(-0.688669\pi\) |
0.829424 | + | 0.558620i | \(0.188669\pi\) | |||||||
\(54\) | 1.69156e9 | + | 2.20356e9i | 0.501327 | + | 0.653069i | ||||
\(55\) | 5.31792e8i | 0.142478i | ||||||||
\(56\) | −3.24937e9 | − | 1.34363e9i | −0.788434 | − | 0.326020i | ||||
\(57\) | − | 1.95262e8i | − | 0.0429840i | ||||||
\(58\) | 5.60671e9 | − | 4.30398e9i | 1.12164 | − | 0.861026i | ||||
\(59\) | −7.47540e9 | + | 7.47540e9i | −1.36128 | + | 1.36128i | −0.488998 | + | 0.872285i | \(0.662637\pi\) |
−0.872285 | + | 0.488998i | \(0.837363\pi\) | |||||||
\(60\) | −2.11460e9 | − | 5.65691e8i | −0.351073 | − | 0.0939177i | ||||
\(61\) | −6.44620e8 | − | 6.44620e8i | −0.0977215 | − | 0.0977215i | 0.656556 | − | 0.754277i | \(-0.272013\pi\) |
−0.754277 | + | 0.656556i | \(0.772013\pi\) | |||||||
\(62\) | 6.82382e8 | − | 5.19130e9i | 0.0945961 | − | 0.719651i | ||||
\(63\) | −5.29570e9 | −0.672280 | ||||||||
\(64\) | −6.08136e9 | − | 6.06664e9i | −0.707963 | − | 0.706250i | ||||
\(65\) | −8.56508e8 | −0.0915605 | ||||||||
\(66\) | 1.10221e8 | − | 8.38517e8i | 0.0108336 | − | 0.0824176i | ||||
\(67\) | 5.39064e9 | + | 5.39064e9i | 0.487786 | + | 0.487786i | 0.907607 | − | 0.419821i | \(-0.137907\pi\) |
−0.419821 | + | 0.907607i | \(0.637907\pi\) | |||||||
\(68\) | −1.75098e10 | − | 4.68415e9i | −1.46043 | − | 0.390689i | ||||
\(69\) | 3.69638e9 | − | 3.69638e9i | 0.284516 | − | 0.284516i | ||||
\(70\) | 7.51080e9 | − | 5.76565e9i | 0.534130 | − | 0.410024i | ||||
\(71\) | 2.90073e10i | 1.90804i | 0.299747 | + | 0.954019i | \(0.403098\pi\) | ||||
−0.299747 | + | 0.954019i | \(0.596902\pi\) | |||||||
\(72\) | −1.19553e10 | − | 4.94358e9i | −0.728171 | − | 0.301102i | ||||
\(73\) | − | 1.12038e10i | − | 0.632540i | −0.948669 | − | 0.316270i | \(-0.897569\pi\) | ||
0.948669 | − | 0.316270i | \(-0.102431\pi\) | |||||||
\(74\) | 1.22971e10 | + | 1.60192e10i | 0.644212 | + | 0.839203i | ||||
\(75\) | −2.52340e9 | + | 2.52340e9i | −0.122786 | + | 0.122786i | ||||
\(76\) | 1.03242e9 | + | 1.78653e9i | 0.0467068 | + | 0.0808232i | ||||
\(77\) | 2.58681e9 | + | 2.58681e9i | 0.108910 | + | 0.108910i | ||||
\(78\) | 1.35052e9 | + | 1.77522e8i | 0.0529640 | + | 0.00696197i | ||||
\(79\) | −2.03542e7 | −0.000744226 | −0.000372113 | − | 1.00000i | \(-0.500118\pi\) | ||||
−0.000372113 | 1.00000i | \(0.500118\pi\) | ||||||||
\(80\) | 2.23384e10 | − | 6.00489e9i | 0.762178 | − | 0.204885i | ||||
\(81\) | −1.28306e10 | −0.408864 | ||||||||
\(82\) | 3.88843e10 | + | 5.11123e9i | 1.15824 | + | 0.152247i | ||||
\(83\) | 2.10772e10 | + | 2.10772e10i | 0.587330 | + | 0.587330i | 0.936908 | − | 0.349577i | \(-0.113675\pi\) |
−0.349577 | + | 0.936908i | \(0.613675\pi\) | |||||||
\(84\) | −1.30378e10 | + | 7.53443e9i | −0.340149 | + | 0.196569i | ||||
\(85\) | 3.45133e10 | − | 3.45133e10i | 0.843689 | − | 0.843689i | ||||
\(86\) | −1.22346e10 | − | 1.59377e10i | −0.280445 | − | 0.365330i | ||||
\(87\) | − | 3.02699e10i | − | 0.651111i | ||||||
\(88\) | 3.42507e9 | + | 8.25470e9i | 0.0691854 | + | 0.166743i | ||||
\(89\) | − | 7.01544e10i | − | 1.33171i | −0.746081 | − | 0.665855i | \(-0.768067\pi\) | ||
0.746081 | − | 0.665855i | \(-0.231933\pi\) | |||||||
\(90\) | 2.76343e10 | − | 2.12134e10i | 0.493305 | − | 0.378684i | ||||
\(91\) | −4.16634e9 | + | 4.16634e9i | −0.0699886 | + | 0.0699886i | ||||
\(92\) | −1.42757e10 | + | 5.33637e10i | −0.225821 | + | 0.844137i | ||||
\(93\) | −1.58556e10 | − | 1.58556e10i | −0.236334 | − | 0.236334i | ||||
\(94\) | −1.13906e10 | + | 8.66558e10i | −0.160083 | + | 1.21785i | ||||
\(95\) | −5.55640e9 | −0.0736739 | ||||||||
\(96\) | −3.64672e10 | + | 4.83845e9i | −0.456468 | + | 0.0605641i | ||||
\(97\) | −3.85844e10 | −0.456213 | −0.228107 | − | 0.973636i | \(-0.573253\pi\) | ||||
−0.228107 | + | 0.973636i | \(0.573253\pi\) | |||||||
\(98\) | −3.17305e9 | + | 2.41393e10i | −0.0354595 | + | 0.269763i | ||||
\(99\) | 9.51762e9 | + | 9.51762e9i | 0.100585 | + | 0.100585i | ||||
\(100\) | 9.74553e9 | − | 3.64296e10i | 0.0974553 | − | 0.364296i | ||||
\(101\) | 7.64448e9 | − | 7.64448e9i | 0.0723736 | − | 0.0723736i | −0.669993 | − | 0.742367i | \(-0.733703\pi\) |
0.742367 | + | 0.669993i | \(0.233703\pi\) | |||||||
\(102\) | −6.15730e10 | + | 4.72664e10i | −0.552191 | + | 0.423888i | ||||
\(103\) | − | 1.42256e11i | − | 1.20911i | −0.796562 | − | 0.604557i | \(-0.793350\pi\) | ||
0.796562 | − | 0.604557i | \(-0.206650\pi\) | |||||||
\(104\) | −1.32951e10 | + | 5.51644e9i | −0.107154 | + | 0.0444606i | ||||
\(105\) | − | 4.05498e10i | − | 0.310061i | ||||||
\(106\) | 3.21303e10 | + | 4.18555e10i | 0.233202 | + | 0.303787i | ||||
\(107\) | −1.42681e11 | + | 1.42681e11i | −0.983455 | + | 0.983455i | −0.999865 | − | 0.0164100i | \(-0.994776\pi\) |
0.0164100 | + | 0.999865i | \(0.494776\pi\) | |||||||
\(108\) | −1.08848e11 | + | 6.29019e10i | −0.712835 | + | 0.411939i | ||||
\(109\) | 1.77386e11 | + | 1.77386e11i | 1.10427 | + | 1.10427i | 0.993890 | + | 0.110376i | \(0.0352056\pi\) |
0.110376 | + | 0.993890i | \(0.464794\pi\) | |||||||
\(110\) | −2.38609e10 | − | 3.13645e9i | −0.141263 | − | 0.0185686i | ||||
\(111\) | 8.64856e10 | 0.487155 | ||||||||
\(112\) | 7.94515e10 | − | 1.37871e11i | 0.425993 | − | 0.739220i | ||||
\(113\) | −2.63766e11 | −1.34675 | −0.673376 | − | 0.739300i | \(-0.735156\pi\) | ||||
−0.673376 | + | 0.739300i | \(0.735156\pi\) | |||||||
\(114\) | 8.76119e9 | + | 1.15163e9i | 0.0426174 | + | 0.00560193i | ||||
\(115\) | −1.05185e11 | − | 1.05185e11i | −0.487657 | − | 0.487657i | ||||
\(116\) | 1.60047e11 | + | 2.76951e11i | 0.707504 | + | 1.22429i | ||||
\(117\) | −1.53291e10 | + | 1.53291e10i | −0.0646391 | + | 0.0646391i | ||||
\(118\) | −2.91324e11 | − | 3.79502e11i | −1.17226 | − | 1.52708i | ||||
\(119\) | − | 3.35768e11i | − | 1.28983i | ||||||
\(120\) | 3.78536e10 | − | 9.15435e10i | 0.138871 | − | 0.335839i | ||||
\(121\) | 2.76013e11i | 0.967410i | ||||||||
\(122\) | 3.27253e10 | − | 2.51215e10i | 0.109624 | − | 0.0841524i | ||||
\(123\) | 1.18763e11 | − | 1.18763e11i | 0.380367 | − | 0.380367i | ||||
\(124\) | 2.28903e11 | + | 6.12354e10i | 0.701185 | + | 0.187579i | ||||
\(125\) | 2.62219e11 | + | 2.62219e11i | 0.768528 | + | 0.768528i | ||||
\(126\) | 3.12334e10 | − | 2.37612e11i | 0.0876155 | − | 0.666546i | ||||
\(127\) | 2.05563e11 | 0.552109 | 0.276055 | − | 0.961142i | \(-0.410973\pi\) | ||||
0.276055 | + | 0.961142i | \(0.410973\pi\) | |||||||
\(128\) | 3.08070e11 | − | 2.37083e11i | 0.792492 | − | 0.609882i | ||||
\(129\) | −8.60456e10 | −0.212073 | ||||||||
\(130\) | 5.05158e9 | − | 3.84305e10i | 0.0119327 | − | 0.0907796i | ||||
\(131\) | 4.20410e11 | + | 4.20410e11i | 0.952097 | + | 0.952097i | 0.998904 | − | 0.0468069i | \(-0.0149045\pi\) |
−0.0468069 | + | 0.998904i | \(0.514905\pi\) | |||||||
\(132\) | 3.69732e10 | + | 9.89095e9i | 0.0803028 | + | 0.0214823i | ||||
\(133\) | −2.70282e10 | + | 2.70282e10i | −0.0563161 | + | 0.0563161i | ||||
\(134\) | −2.73665e11 | + | 2.10079e11i | −0.547197 | + | 0.420054i | ||||
\(135\) | − | 3.38534e11i | − | 0.649780i | ||||||
\(136\) | 3.13443e11 | − | 7.58017e11i | 0.577690 | − | 1.39706i | ||||
\(137\) | 8.28024e11i | 1.46582i | 0.680327 | + | 0.732909i | \(0.261838\pi\) | ||||
−0.680327 | + | 0.732909i | \(0.738162\pi\) | |||||||
\(138\) | 1.44052e11 | + | 1.87653e11i | 0.245010 | + | 0.319170i | ||||
\(139\) | −5.46403e11 | + | 5.46403e11i | −0.893165 | + | 0.893165i | −0.994820 | − | 0.101654i | \(-0.967586\pi\) |
0.101654 | + | 0.994820i | \(0.467586\pi\) | |||||||
\(140\) | 2.14400e11 | + | 3.71006e11i | 0.336916 | + | 0.583011i | ||||
\(141\) | 2.64670e11 | + | 2.64670e11i | 0.399944 | + | 0.399944i | ||||
\(142\) | −1.30153e12 | − | 1.71082e11i | −1.89176 | − | 0.248667i | ||||
\(143\) | 1.49758e10 | 0.0209431 | ||||||||
\(144\) | 2.92324e11 | − | 5.07266e11i | 0.393433 | − | 0.682719i | ||||
\(145\) | −8.61363e11 | −1.11599 | ||||||||
\(146\) | 5.02700e11 | + | 6.60784e10i | 0.627145 | + | 0.0824364i | ||||
\(147\) | 7.37279e10 | + | 7.37279e10i | 0.0885904 | + | 0.0885904i | ||||
\(148\) | −7.91291e11 | + | 4.57278e11i | −0.916003 | + | 0.529348i | ||||
\(149\) | 2.56398e11 | − | 2.56398e11i | 0.286016 | − | 0.286016i | −0.549486 | − | 0.835503i | \(-0.685177\pi\) |
0.835503 | + | 0.549486i | \(0.185177\pi\) | |||||||
\(150\) | −9.83393e10 | − | 1.28105e11i | −0.105737 | − | 0.137741i | ||||
\(151\) | − | 1.65411e12i | − | 1.71471i | −0.514724 | − | 0.857356i | \(-0.672106\pi\) | ||
0.514724 | − | 0.857356i | \(-0.327894\pi\) | |||||||
\(152\) | −8.62488e10 | + | 3.57866e10i | −0.0862210 | + | 0.0357751i | ||||
\(153\) | − | 1.23539e12i | − | 1.19124i | ||||||
\(154\) | −1.31324e11 | + | 1.00811e11i | −0.122175 | + | 0.0937870i | ||||
\(155\) | −4.51189e11 | + | 4.51189e11i | −0.405074 | + | 0.405074i | ||||
\(156\) | −1.59304e10 | + | 5.95493e10i | −0.0138052 | + | 0.0516050i | ||||
\(157\) | 3.88138e11 | + | 3.88138e11i | 0.324742 | + | 0.324742i | 0.850583 | − | 0.525841i | \(-0.176249\pi\) |
−0.525841 | + | 0.850583i | \(0.676249\pi\) | |||||||
\(158\) | 1.20047e8 | − | 9.13270e8i | 9.69920e−5 | − | 0.000737879i | ||||
\(159\) | 2.25972e11 | 0.176348 | ||||||||
\(160\) | 1.37684e11 | + | 1.03771e12i | 0.103806 | + | 0.782379i | ||||
\(161\) | −1.02331e12 | −0.745527 | ||||||||
\(162\) | 7.56733e10 | − | 5.75694e11i | 0.0532856 | − | 0.405377i | ||||
\(163\) | −7.23237e11 | − | 7.23237e11i | −0.492321 | − | 0.492321i | 0.416716 | − | 0.909037i | \(-0.363181\pi\) |
−0.909037 | + | 0.416716i | \(0.863181\pi\) | |||||||
\(164\) | −4.58670e11 | + | 1.71455e12i | −0.301897 | + | 1.12852i | ||||
\(165\) | −7.28775e10 | + | 7.28775e10i | −0.0463908 | + | 0.0463908i | ||||
\(166\) | −1.07002e12 | + | 8.21397e11i | −0.658866 | + | 0.505777i | ||||
\(167\) | − | 5.49609e11i | − | 0.327426i | −0.986508 | − | 0.163713i | \(-0.947653\pi\) | ||
0.986508 | − | 0.163713i | \(-0.0523471\pi\) | |||||||
\(168\) | −2.61165e11 | − | 6.29431e11i | −0.150562 | − | 0.362866i | ||||
\(169\) | − | 1.76804e12i | − | 0.986541i | ||||||
\(170\) | 1.34502e12 | + | 1.75213e12i | 0.726539 | + | 0.946448i | ||||
\(171\) | −9.94442e10 | + | 9.94442e10i | −0.0520117 | + | 0.0520117i | ||||
\(172\) | 7.87266e11 | − | 4.54952e11i | 0.398763 | − | 0.230441i | ||||
\(173\) | 1.95564e12 | + | 1.95564e12i | 0.959477 | + | 0.959477i | 0.999210 | − | 0.0397338i | \(-0.0126510\pi\) |
−0.0397338 | + | 0.999210i | \(0.512651\pi\) | |||||||
\(174\) | 1.35817e12 | + | 1.78528e11i | 0.645557 | + | 0.0848566i | ||||
\(175\) | 6.98577e11 | 0.321740 | ||||||||
\(176\) | −3.90580e11 | + | 1.04994e11i | −0.174337 | + | 0.0468645i | ||||
\(177\) | −2.04888e12 | −0.886468 | ||||||||
\(178\) | 3.14775e12 | + | 4.13762e11i | 1.32035 | + | 0.173556i | ||||
\(179\) | 2.41737e12 | + | 2.41737e12i | 0.983220 | + | 0.983220i | 0.999862 | − | 0.0166415i | \(-0.00529739\pi\) |
−0.0166415 | + | 0.999862i | \(0.505297\pi\) | |||||||
\(180\) | 7.88839e11 | + | 1.36504e12i | 0.311164 | + | 0.538450i | ||||
\(181\) | 3.47137e12 | − | 3.47137e12i | 1.32822 | − | 1.32822i | 0.421289 | − | 0.906926i | \(-0.361578\pi\) |
0.906926 | − | 0.421289i | \(-0.138422\pi\) | |||||||
\(182\) | −1.62366e11 | − | 2.11512e11i | −0.0602703 | − | 0.0785130i | ||||
\(183\) | − | 1.76679e11i | − | 0.0636362i | ||||||
\(184\) | −2.31017e12 | − | 9.55266e11i | −0.807508 | − | 0.333908i | ||||
\(185\) | − | 2.46104e12i | − | 0.834977i | ||||||
\(186\) | 8.04938e11 | − | 6.17909e11i | 0.265119 | − | 0.203518i | ||||
\(187\) | −6.03455e11 | + | 6.03455e11i | −0.192982 | + | 0.192982i | ||||
\(188\) | −3.82097e12 | − | 1.02217e12i | −1.18660 | − | 0.317435i | ||||
\(189\) | −1.64674e12 | − | 1.64674e12i | −0.496690 | − | 0.496690i | ||||
\(190\) | 3.27710e10 | − | 2.49309e11i | 0.00960162 | − | 0.0730456i | ||||
\(191\) | −1.42722e12 | −0.406264 | −0.203132 | − | 0.979151i | \(-0.565112\pi\) | ||||
−0.203132 | + | 0.979151i | \(0.565112\pi\) | |||||||
\(192\) | −2.01698e9 | − | 1.66478e12i | −0.000557884 | − | 0.460468i | ||||
\(193\) | 2.73266e12 | 0.734550 | 0.367275 | − | 0.930112i | \(-0.380291\pi\) | ||||
0.367275 | + | 0.930112i | \(0.380291\pi\) | |||||||
\(194\) | 2.27566e11 | − | 1.73124e12i | 0.0594564 | − | 0.452322i | ||||
\(195\) | −1.17377e11 | − | 1.17377e11i | −0.0298121 | − | 0.0298121i | ||||
\(196\) | −1.06439e12 | − | 2.84742e11i | −0.262841 | − | 0.0703142i | ||||
\(197\) | −6.90303e11 | + | 6.90303e11i | −0.165758 | + | 0.165758i | −0.785112 | − | 0.619354i | \(-0.787395\pi\) |
0.619354 | + | 0.785112i | \(0.287395\pi\) | |||||||
\(198\) | −4.83178e11 | + | 3.70911e11i | −0.112836 | + | 0.0866186i | ||||
\(199\) | 6.35449e12i | 1.44341i | 0.692202 | + | 0.721704i | \(0.256641\pi\) | ||||
−0.692202 | + | 0.721704i | \(0.743359\pi\) | |||||||
\(200\) | 1.57708e12 | + | 6.52128e11i | 0.348488 | + | 0.144101i | ||||
\(201\) | 1.47748e12i | 0.317646i | ||||||||
\(202\) | 2.97913e11 | + | 3.88085e11i | 0.0623242 | + | 0.0811885i | ||||
\(203\) | −4.18995e12 | + | 4.18995e12i | −0.853063 | + | 0.853063i | ||||
\(204\) | −1.75764e12 | − | 3.04148e12i | −0.348308 | − | 0.602725i | ||||
\(205\) | −3.37953e12 | − | 3.37953e12i | −0.651944 | − | 0.651944i | ||||
\(206\) | 6.38288e12 | + | 8.39011e11i | 1.19880 | + | 0.157579i | ||||
\(207\) | −3.76503e12 | −0.688544 | ||||||||
\(208\) | −1.69104e11 | − | 6.29070e11i | −0.0301165 | − | 0.112034i | ||||
\(209\) | 9.71520e10 | 0.0168518 | ||||||||
\(210\) | 1.81942e12 | + | 2.39158e11i | 0.307417 | + | 0.0404090i | ||||
\(211\) | 3.30209e12 | + | 3.30209e12i | 0.543545 | + | 0.543545i | 0.924566 | − | 0.381021i | \(-0.124427\pi\) |
−0.381021 | + | 0.924566i | \(0.624427\pi\) | |||||||
\(212\) | −2.06751e12 | + | 1.19479e12i | −0.331589 | + | 0.191621i | ||||
\(213\) | −3.97520e12 | + | 3.97520e12i | −0.621257 | + | 0.621257i | ||||
\(214\) | −5.56041e12 | − | 7.24344e12i | −0.846898 | − | 1.10324i | ||||
\(215\) | 2.44852e12i | 0.363490i | ||||||||
\(216\) | −2.18037e12 | − | 5.25486e12i | −0.315525 | − | 0.760442i | ||||
\(217\) | 4.38946e12i | 0.619274i | ||||||||
\(218\) | −9.00531e12 | + | 6.91291e12i | −1.23876 | + | 0.950934i | ||||
\(219\) | 1.53538e12 | − | 1.53538e12i | 0.205955 | − | 0.205955i | ||||
\(220\) | 2.81458e11 | − | 1.05211e12i | 0.0368204 | − | 0.137638i | ||||
\(221\) | −9.71928e11 | − | 9.71928e11i | −0.124016 | − | 0.124016i | ||||
\(222\) | −5.10082e11 | + | 3.88051e12i | −0.0634890 | + | 0.483000i | ||||
\(223\) | 1.22014e13 | 1.48161 | 0.740806 | − | 0.671719i | \(-0.234444\pi\) | ||||
0.740806 | + | 0.671719i | \(0.234444\pi\) | |||||||
\(224\) | 5.71752e12 | + | 4.37804e12i | 0.677398 | + | 0.518700i | ||||
\(225\) | 2.57026e12 | 0.297148 | ||||||||
\(226\) | 1.55566e12 | − | 1.18349e13i | 0.175517 | − | 1.33527i | ||||
\(227\) | −4.44935e12 | − | 4.44935e12i | −0.489953 | − | 0.489953i | 0.418338 | − | 0.908291i | \(-0.362613\pi\) |
−0.908291 | + | 0.418338i | \(0.862613\pi\) | |||||||
\(228\) | −1.03345e11 | + | 3.86313e11i | −0.0111083 | + | 0.0415238i | ||||
\(229\) | 2.35262e11 | − | 2.35262e11i | 0.0246864 | − | 0.0246864i | −0.694656 | − | 0.719342i | \(-0.744443\pi\) |
0.719342 | + | 0.694656i | \(0.244443\pi\) | |||||||
\(230\) | 5.33988e12 | − | 4.09915e12i | 0.547052 | − | 0.419943i | ||||
\(231\) | 7.09001e11i | 0.0709220i | ||||||||
\(232\) | −1.33704e13 | + | 5.54770e12i | −1.30605 | + | 0.541913i | ||||
\(233\) | 1.95717e12i | 0.186711i | 0.995633 | + | 0.0933555i | \(0.0297593\pi\) | ||||
−0.995633 | + | 0.0933555i | \(0.970241\pi\) | |||||||
\(234\) | −5.97391e11 | − | 7.78210e11i | −0.0556637 | − | 0.0725120i | ||||
\(235\) | 7.53146e12 | − | 7.53146e12i | 0.685498 | − | 0.685498i | ||||
\(236\) | 1.87460e13 | − | 1.08331e13i | 1.66684 | − | 0.963246i | ||||
\(237\) | −2.78937e9 | − | 2.78937e9i | −0.000242320 | − | 0.000242320i | ||||
\(238\) | 1.50655e13 | + | 1.98032e12i | 1.27883 | + | 0.168098i | ||||
\(239\) | −1.55805e13 | −1.29239 | −0.646195 | − | 0.763172i | \(-0.723641\pi\) | ||||
−0.646195 | + | 0.763172i | \(0.723641\pi\) | |||||||
\(240\) | 3.88420e12 | + | 2.23836e12i | 0.314876 | + | 0.181455i | ||||
\(241\) | 1.49774e13 | 1.18670 | 0.593352 | − | 0.804943i | \(-0.297804\pi\) | ||||
0.593352 | + | 0.804943i | \(0.297804\pi\) | |||||||
\(242\) | −1.23844e13 | − | 1.62789e12i | −0.959159 | − | 0.126079i | ||||
\(243\) | −9.44749e12 | − | 9.44749e12i | −0.715289 | − | 0.715289i | ||||
\(244\) | 9.34163e11 | + | 1.61651e12i | 0.0691478 | + | 0.119656i | ||||
\(245\) | 2.09801e12 | − | 2.09801e12i | 0.151843 | − | 0.151843i | ||||
\(246\) | 4.62831e12 | + | 6.02921e12i | 0.327551 | + | 0.426695i | ||||
\(247\) | 1.56474e11i | 0.0108295i | ||||||||
\(248\) | −4.09761e12 | + | 9.90947e12i | −0.277361 | + | 0.670759i | ||||
\(249\) | 5.77688e12i | 0.382470i | ||||||||
\(250\) | −1.33120e13 | + | 1.02189e13i | −0.862132 | + | 0.661814i | ||||
\(251\) | 1.35422e13 | − | 1.35422e13i | 0.857996 | − | 0.857996i | −0.133106 | − | 0.991102i | \(-0.542495\pi\) |
0.991102 | + | 0.133106i | \(0.0424951\pi\) | |||||||
\(252\) | 1.04772e13 | + | 2.80281e12i | 0.649443 | + | 0.173737i | ||||
\(253\) | 1.83912e12 | + | 1.83912e12i | 0.111544 | + | 0.111544i | ||||
\(254\) | −1.21239e12 | + | 9.22339e12i | −0.0719542 | + | 0.547400i | ||||
\(255\) | 9.45950e12 | 0.549411 | ||||||||
\(256\) | 8.82069e12 | + | 1.52211e13i | 0.501398 | + | 0.865217i | ||||
\(257\) | 1.84308e12 | 0.102545 | 0.0512723 | − | 0.998685i | \(-0.483672\pi\) | ||||
0.0512723 | + | 0.998685i | \(0.483672\pi\) | |||||||
\(258\) | 5.07487e11 | − | 3.86077e12i | 0.0276386 | − | 0.210264i | ||||
\(259\) | −1.19713e13 | − | 1.19713e13i | −0.638254 | − | 0.638254i | ||||
\(260\) | 1.69454e12 | + | 4.53318e11i | 0.0884502 | + | 0.0236619i | ||||
\(261\) | −1.54160e13 | + | 1.54160e13i | −0.787860 | + | 0.787860i | ||||
\(262\) | −2.13429e13 | + | 1.63838e13i | −1.06806 | + | 0.819894i | ||||
\(263\) | − | 1.20322e13i | − | 0.589642i | −0.955553 | − | 0.294821i | \(-0.904740\pi\) | ||
0.955553 | − | 0.294821i | \(-0.0952600\pi\) | |||||||
\(264\) | −6.61859e11 | + | 1.60061e12i | −0.0317646 | + | 0.0768182i | ||||
\(265\) | − | 6.43028e12i | − | 0.302258i | ||||||
\(266\) | −1.05331e12 | − | 1.37213e12i | −0.0484964 | − | 0.0631753i | ||||
\(267\) | 9.61405e12 | − | 9.61405e12i | 0.433605 | − | 0.433605i | ||||
\(268\) | −7.81195e12 | − | 1.35181e13i | −0.345158 | − | 0.597274i | ||||
\(269\) | −2.45811e13 | − | 2.45811e13i | −1.06405 | − | 1.06405i | −0.997803 | − | 0.0662507i | \(-0.978896\pi\) |
−0.0662507 | − | 0.997803i | \(-0.521104\pi\) | |||||||
\(270\) | 1.51896e13 | + | 1.99663e12i | 0.644238 | + | 0.0846832i | ||||
\(271\) | −1.50612e12 | −0.0625935 | −0.0312967 | − | 0.999510i | \(-0.509964\pi\) | ||||
−0.0312967 | + | 0.999510i | \(0.509964\pi\) | |||||||
\(272\) | 3.21627e13 | + | 1.85345e13i | 1.30986 | + | 0.754836i | ||||
\(273\) | −1.14192e12 | −0.0455766 | ||||||||
\(274\) | −3.71525e13 | − | 4.88359e12i | −1.45332 | − | 0.191034i | ||||
\(275\) | −1.25551e12 | − | 1.25551e12i | −0.0481382 | − | 0.0481382i | ||||
\(276\) | −9.26939e12 | + | 5.35668e12i | −0.348379 | + | 0.201324i | ||||
\(277\) | −2.54745e13 | + | 2.54745e13i | −0.938570 | + | 0.938570i | −0.998219 | − | 0.0596494i | \(-0.981002\pi\) |
0.0596494 | + | 0.998219i | \(0.481002\pi\) | |||||||
\(278\) | −2.12939e13 | − | 2.77391e13i | −0.769145 | − | 1.00195i | ||||
\(279\) | 1.61501e13i | 0.571941i | ||||||||
\(280\) | −1.79111e13 | + | 7.43175e12i | −0.621948 | + | 0.258061i | ||||
\(281\) | 2.86124e13i | 0.974249i | 0.873332 | + | 0.487125i | \(0.161954\pi\) | ||||
−0.873332 | + | 0.487125i | \(0.838046\pi\) | |||||||
\(282\) | −1.34364e13 | + | 1.03144e13i | −0.448656 | + | 0.344410i | ||||
\(283\) | 2.53014e13 | − | 2.53014e13i | 0.828550 | − | 0.828550i | −0.158766 | − | 0.987316i | \(-0.550752\pi\) |
0.987316 | + | 0.158766i | \(0.0507517\pi\) | |||||||
\(284\) | 1.53525e13 | − | 5.73890e13i | 0.493092 | − | 1.84322i | ||||
\(285\) | −7.61456e11 | − | 7.61456e11i | −0.0239882 | − | 0.0239882i | ||||
\(286\) | −8.83255e10 | + | 6.71947e11i | −0.00272943 | + | 0.0207645i | ||||
\(287\) | −3.28783e13 | −0.996687 | ||||||||
\(288\) | 2.10364e13 | + | 1.61080e13i | 0.625622 | + | 0.479054i | ||||
\(289\) | 4.40565e13 | 1.28550 | ||||||||
\(290\) | 5.08021e12 | − | 3.86484e13i | 0.145443 | − | 1.10648i | ||||
\(291\) | −5.28766e12 | − | 5.28766e12i | −0.148543 | − | 0.148543i | ||||
\(292\) | −5.92973e12 | + | 2.21658e13i | −0.163467 | + | 0.611053i | ||||
\(293\) | 1.19988e13 | − | 1.19988e13i | 0.324614 | − | 0.324614i | −0.525920 | − | 0.850534i | \(-0.676279\pi\) |
0.850534 | + | 0.525920i | \(0.176279\pi\) | |||||||
\(294\) | −3.74292e12 | + | 2.87325e12i | −0.0993804 | + | 0.0762892i | ||||
\(295\) | 5.83031e13i | 1.51939i | ||||||||
\(296\) | −1.58506e13 | − | 3.82013e13i | −0.405454 | − | 0.977179i | ||||
\(297\) | 5.91917e12i | 0.148628i | ||||||||
\(298\) | 9.99209e12 | + | 1.30165e13i | 0.246301 | + | 0.320852i | ||||
\(299\) | −2.96210e12 | + | 2.96210e12i | −0.0716818 | + | 0.0716818i | ||||
\(300\) | 6.32791e12 | − | 3.65683e12i | 0.150346 | − | 0.0868835i | ||||
\(301\) | 1.19104e13 | + | 1.19104e13i | 0.277851 | + | 0.277851i | ||||
\(302\) | 7.42180e13 | + | 9.75574e12i | 1.70009 | + | 0.223472i | ||||
\(303\) | 2.09522e12 | 0.0471297 | ||||||||
\(304\) | −1.09702e12 | − | 4.08095e12i | −0.0242332 | − | 0.0901481i | ||||
\(305\) | −5.02760e12 | −0.109072 | ||||||||
\(306\) | 5.54304e13 | + | 7.28616e12i | 1.18108 | + | 0.155250i | ||||
\(307\) | 3.56171e13 | + | 3.56171e13i | 0.745414 | + | 0.745414i | 0.973614 | − | 0.228200i | \(-0.0732841\pi\) |
−0.228200 | + | 0.973614i | \(0.573284\pi\) | |||||||
\(308\) | −3.74873e12 | − | 6.48694e12i | −0.0770646 | − | 0.133355i | ||||
\(309\) | 1.94950e13 | − | 1.94950e13i | 0.393687 | − | 0.393687i | ||||
\(310\) | −1.75833e13 | − | 2.29054e13i | −0.348827 | − | 0.454410i | ||||
\(311\) | − | 5.85014e12i | − | 0.114021i | −0.998374 | − | 0.0570104i | \(-0.981843\pi\) | ||
0.998374 | − | 0.0570104i | \(-0.0181568\pi\) | |||||||
\(312\) | −2.57795e12 | − | 1.06599e12i | −0.0493657 | − | 0.0204129i | ||||
\(313\) | 7.17988e12i | 0.135090i | 0.997716 | + | 0.0675450i | \(0.0215166\pi\) | ||||
−0.997716 | + | 0.0675450i | \(0.978483\pi\) | |||||||
\(314\) | −1.97045e13 | + | 1.51261e13i | −0.364294 | + | 0.279650i | ||||
\(315\) | −2.06514e13 | + | 2.06514e13i | −0.375182 | + | 0.375182i | ||||
\(316\) | 4.02694e10 | + | 1.07727e10i | 0.000718945 | + | 0.000192330i | ||||
\(317\) | 1.76432e13 | + | 1.76432e13i | 0.309564 | + | 0.309564i | 0.844740 | − | 0.535176i | \(-0.179755\pi\) |
−0.535176 | + | 0.844740i | \(0.679755\pi\) | |||||||
\(318\) | −1.33275e12 | + | 1.01391e13i | −0.0229827 | + | 0.174844i | ||||
\(319\) | 1.50607e13 | 0.255268 | ||||||||
\(320\) | −4.73731e13 | + | 5.73952e10i | −0.789235 | + | 0.000956205i | ||||
\(321\) | −3.91063e13 | −0.640426 | ||||||||
\(322\) | 6.03534e12 | − | 4.59146e13i | 0.0971615 | − | 0.739168i | ||||
\(323\) | −6.30516e12 | − | 6.30516e12i | −0.0997889 | − | 0.0997889i | ||||
\(324\) | 2.53844e13 | + | 6.79075e12i | 0.394975 | + | 0.105662i | ||||
\(325\) | 2.02213e12 | − | 2.02213e12i | 0.0309350 | − | 0.0309350i | ||||
\(326\) | 3.67164e13 | − | 2.81852e13i | 0.552285 | − | 0.423960i | ||||
\(327\) | 4.86184e13i | 0.719099i | ||||||||
\(328\) | −7.42247e13 | − | 3.06922e13i | −1.07955 | − | 0.446398i | ||||
\(329\) | − | 7.32711e13i | − | 1.04798i | ||||||
\(330\) | −2.84011e12 | − | 3.69975e12i | −0.0399492 | − | 0.0520411i | ||||
\(331\) | −3.82241e13 | + | 3.82241e13i | −0.528790 | + | 0.528790i | −0.920211 | − | 0.391422i | \(-0.871983\pi\) |
0.391422 | + | 0.920211i | \(0.371983\pi\) | |||||||
\(332\) | −3.05443e13 | − | 5.28550e13i | −0.415596 | − | 0.719162i | ||||
\(333\) | −4.40459e13 | − | 4.40459e13i | −0.589470 | − | 0.589470i | ||||
\(334\) | 2.46603e13 | + | 3.24153e12i | 0.324634 | + | 0.0426721i | ||||
\(335\) | 4.20434e13 | 0.544441 | ||||||||
\(336\) | 2.97822e13 | − | 8.00589e12i | 0.379394 | − | 0.101987i | ||||
\(337\) | 2.67134e13 | 0.334784 | 0.167392 | − | 0.985890i | \(-0.446465\pi\) | ||||
0.167392 | + | 0.985890i | \(0.446465\pi\) | |||||||
\(338\) | 7.93300e13 | + | 1.04277e13i | 0.978127 | + | 0.128572i | ||||
\(339\) | −3.61469e13 | − | 3.61469e13i | −0.438503 | − | 0.438503i | ||||
\(340\) | −8.65487e13 | + | 5.00156e13i | −1.03306 | + | 0.596995i | ||||
\(341\) | 7.88890e12 | − | 7.88890e12i | 0.0926547 | − | 0.0926547i | ||||
\(342\) | −3.87544e12 | − | 5.04846e12i | −0.0447896 | − | 0.0583466i | ||||
\(343\) | − | 9.54276e13i | − | 1.08532i | ||||||
\(344\) | 1.57700e13 | + | 3.80070e13i | 0.176506 | + | 0.425395i | ||||
\(345\) | − | 2.88293e13i | − | 0.317562i | ||||||
\(346\) | −9.92813e13 | + | 7.62130e13i | −1.07634 | + | 0.826249i | ||||
\(347\) | −1.05470e14 | + | 1.05470e14i | −1.12543 | + | 1.12543i | −0.134515 | + | 0.990912i | \(0.542948\pi\) |
−0.990912 | + | 0.134515i | \(0.957052\pi\) | |||||||
\(348\) | −1.60207e13 | + | 5.98868e13i | −0.168266 | + | 0.628993i | ||||
\(349\) | 2.45469e13 | + | 2.45469e13i | 0.253780 | + | 0.253780i | 0.822518 | − | 0.568738i | \(-0.192568\pi\) |
−0.568738 | + | 0.822518i | \(0.692568\pi\) | |||||||
\(350\) | −4.12012e12 | + | 3.13444e13i | −0.0419311 | + | 0.318996i | ||||
\(351\) | −9.53345e12 | −0.0955126 | ||||||||
\(352\) | −2.40736e12 | − | 1.81441e13i | −0.0237441 | − | 0.178958i | ||||
\(353\) | −5.54612e13 | −0.538553 | −0.269276 | − | 0.963063i | \(-0.586785\pi\) | ||||
−0.269276 | + | 0.963063i | \(0.586785\pi\) | |||||||
\(354\) | 1.20840e13 | − | 9.19308e13i | 0.115530 | − | 0.878907i | ||||
\(355\) | 1.13119e14 | + | 1.13119e14i | 1.06483 | + | 1.06483i | ||||
\(356\) | −3.71301e13 | + | 1.38796e14i | −0.344152 | + | 1.28647i | ||||
\(357\) | 4.60141e13 | − | 4.60141e13i | 0.419968 | − | 0.419968i | ||||
\(358\) | −1.22722e14 | + | 9.42071e13i | −1.10297 | + | 0.846695i | ||||
\(359\) | − | 1.17444e14i | − | 1.03947i | −0.854328 | − | 0.519734i | \(-0.826031\pi\) | ||
0.854328 | − | 0.519734i | \(-0.173969\pi\) | |||||||
\(360\) | −6.59001e13 | + | 2.73435e13i | −0.574410 | + | 0.238336i | ||||
\(361\) | − | 1.15475e14i | − | 0.991286i | ||||||
\(362\) | 1.35283e14 | + | 1.76230e14i | 1.14379 | + | 1.48999i | ||||
\(363\) | −3.78252e13 | + | 3.78252e13i | −0.314989 | + | 0.314989i | ||||
\(364\) | 1.04479e13 | − | 6.03772e12i | 0.0856981 | − | 0.0495240i | ||||
\(365\) | −4.36908e13 | − | 4.36908e13i | −0.353004 | − | 0.353004i | ||||
\(366\) | 7.92740e12 | + | 1.04203e12i | 0.0630935 | + | 0.00829346i | ||||
\(367\) | 6.53804e13 | 0.512607 | 0.256303 | − | 0.966596i | \(-0.417495\pi\) | ||||
0.256303 | + | 0.966596i | \(0.417495\pi\) | |||||||
\(368\) | 5.64868e13 | − | 9.80208e13i | 0.436299 | − | 0.757104i | ||||
\(369\) | −1.20969e14 | −0.920507 | ||||||||
\(370\) | 1.10424e14 | + | 1.45149e13i | 0.827856 | + | 0.108819i | ||||
\(371\) | −3.12790e13 | − | 3.12790e13i | −0.231045 | − | 0.231045i | ||||
\(372\) | 2.29774e13 | + | 3.97610e13i | 0.167230 | + | 0.289382i | ||||
\(373\) | 1.53272e14 | − | 1.53272e14i | 1.09917 | − | 1.09917i | 0.104658 | − | 0.994508i | \(-0.466625\pi\) |
0.994508 | − | 0.104658i | \(-0.0333747\pi\) | |||||||
\(374\) | −2.35172e13 | − | 3.06354e13i | −0.166185 | − | 0.216486i | ||||
\(375\) | 7.18697e13i | 0.500465i | ||||||||
\(376\) | 6.83992e13 | − | 1.65414e14i | 0.469373 | − | 1.13511i | ||||
\(377\) | 2.42568e13i | 0.164042i | ||||||||
\(378\) | 8.35997e13 | − | 6.41751e13i | 0.557186 | − | 0.427722i | ||||
\(379\) | 1.21627e14 | − | 1.21627e14i | 0.798940 | − | 0.798940i | −0.183988 | − | 0.982928i | \(-0.558901\pi\) |
0.982928 | + | 0.183988i | \(0.0589009\pi\) | |||||||
\(380\) | 1.09929e13 | + | 2.94079e12i | 0.0711712 | + | 0.0190395i | ||||
\(381\) | 2.81707e13 | + | 2.81707e13i | 0.179767 | + | 0.179767i | ||||
\(382\) | 8.41760e12 | − | 6.40379e13i | 0.0529468 | − | 0.402799i | ||||
\(383\) | −9.93966e13 | −0.616280 | −0.308140 | − | 0.951341i | \(-0.599707\pi\) | ||||
−0.308140 | + | 0.951341i | \(0.599707\pi\) | |||||||
\(384\) | 7.47085e13 | + | 9.72816e12i | 0.456613 | + | 0.0594578i | ||||
\(385\) | 2.01754e13 | 0.121559 | ||||||||
\(386\) | −1.61169e13 | + | 1.22612e14i | −0.0957309 | + | 0.728285i | ||||
\(387\) | 4.38218e13 | + | 4.38218e13i | 0.256614 | + | 0.256614i | ||||
\(388\) | 7.63366e13 | + | 2.04213e13i | 0.440716 | + | 0.117899i | ||||
\(389\) | −5.20938e13 | + | 5.20938e13i | −0.296526 | + | 0.296526i | −0.839652 | − | 0.543125i | \(-0.817241\pi\) |
0.543125 | + | 0.839652i | \(0.317241\pi\) | |||||||
\(390\) | 5.95885e12 | − | 4.57430e12i | 0.0334431 | − | 0.0256726i | ||||
\(391\) | − | 2.38718e14i | − | 1.32103i | ||||||
\(392\) | 1.90537e13 | − | 4.60786e13i | 0.103969 | − | 0.251435i | ||||
\(393\) | 1.15227e14i | 0.620006i | ||||||||
\(394\) | −2.69018e13 | − | 3.50444e13i | −0.142742 | − | 0.185947i | ||||
\(395\) | −7.93745e10 | + | 7.93745e10i | −0.000415333 | + | 0.000415333i | ||||
\(396\) | −1.37926e13 | − | 2.38673e13i | −0.0711743 | − | 0.123163i | ||||
\(397\) | 2.43146e14 | + | 2.43146e14i | 1.23743 | + | 1.23743i | 0.961050 | + | 0.276376i | \(0.0891335\pi\) |
0.276376 | + | 0.961050i | \(0.410866\pi\) | |||||||
\(398\) | −2.85119e14 | − | 3.74780e13i | −1.43110 | − | 0.188113i | ||||
\(399\) | −7.40795e12 | −0.0366731 | ||||||||
\(400\) | −3.85617e13 | + | 6.69156e13i | −0.188289 | + | 0.326736i | ||||
\(401\) | −1.60446e14 | −0.772744 | −0.386372 | − | 0.922343i | \(-0.626272\pi\) | ||||
−0.386372 | + | 0.922343i | \(0.626272\pi\) | |||||||
\(402\) | −6.62929e13 | − | 8.71401e12i | −0.314937 | − | 0.0413976i | ||||
\(403\) | 1.27059e13 | + | 1.27059e13i | 0.0595427 | + | 0.0595427i | ||||
\(404\) | −1.91700e13 | + | 1.10781e13i | −0.0886185 | + | 0.0512116i | ||||
\(405\) | −5.00350e13 | + | 5.00350e13i | −0.228177 | + | 0.228177i | ||||
\(406\) | −1.63287e14 | − | 2.12710e14i | −0.734611 | − | 0.956963i | ||||
\(407\) | 4.30306e13i | 0.190989i | ||||||||
\(408\) | 1.46834e14 | − | 6.09250e13i | 0.642978 | − | 0.266787i | ||||
\(409\) | 8.28735e13i | 0.358045i | 0.983845 | + | 0.179022i | \(0.0572935\pi\) | ||||
−0.983845 | + | 0.179022i | \(0.942707\pi\) | |||||||
\(410\) | 1.71568e14 | − | 1.31704e14i | 0.731348 | − | 0.561418i | ||||
\(411\) | −1.13474e14 | + | 1.13474e14i | −0.477270 | + | 0.477270i | ||||
\(412\) | −7.52909e13 | + | 2.81444e14i | −0.312470 | + | 1.16804i | ||||
\(413\) | 2.83605e14 | + | 2.83605e14i | 1.16142 | + | 1.16142i | ||||
\(414\) | 2.22057e13 | − | 1.68933e14i | 0.0897352 | − | 0.682671i | ||||
\(415\) | 1.64388e14 | 0.655548 | ||||||||
\(416\) | 2.92230e13 | − | 3.87730e12i | 0.115004 | − | 0.0152587i | ||||
\(417\) | −1.49760e14 | −0.581630 | ||||||||
\(418\) | −5.72991e11 | + | 4.35910e12i | −0.00219623 | + | 0.0167081i | ||||
\(419\) | −7.37301e11 | − | 7.37301e11i | −0.00278912 | − | 0.00278912i | 0.705711 | − | 0.708500i | \(-0.250628\pi\) |
−0.708500 | + | 0.705711i | \(0.750628\pi\) | |||||||
\(420\) | −2.14615e13 | + | 8.02249e13i | −0.0801288 | + | 0.299528i | ||||
\(421\) | −2.94206e14 | + | 2.94206e14i | −1.08418 | + | 1.08418i | −0.0880630 | + | 0.996115i | \(0.528068\pi\) |
−0.996115 | + | 0.0880630i | \(0.971932\pi\) | |||||||
\(422\) | −1.67637e14 | + | 1.28686e14i | −0.609748 | + | 0.468071i | ||||
\(423\) | − | 2.69585e14i | − | 0.967884i | ||||||
\(424\) | −4.14149e13 | − | 9.98134e13i | −0.146773 | − | 0.353734i | ||||
\(425\) | 1.62965e14i | 0.570105i | ||||||||
\(426\) | −1.54918e14 | − | 2.01808e14i | −0.534993 | − | 0.696925i | ||||
\(427\) | −2.44559e13 | + | 2.44559e13i | −0.0833740 | + | 0.0833740i | ||||
\(428\) | 3.57799e14 | − | 2.06768e14i | 1.20420 | − | 0.695894i | ||||
\(429\) | 2.05230e12 | + | 2.05230e12i | 0.00681909 | + | 0.00681909i | ||||
\(430\) | −1.09862e14 | − | 1.44411e13i | −0.360390 | − | 0.0473722i | ||||
\(431\) | −1.13680e14 | −0.368180 | −0.184090 | − | 0.982909i | \(-0.558934\pi\) | ||||
−0.184090 | + | 0.982909i | \(0.558934\pi\) | |||||||
\(432\) | 2.48639e14 | − | 6.68380e13i | 0.795077 | − | 0.213729i | ||||
\(433\) | −3.36153e14 | −1.06134 | −0.530669 | − | 0.847579i | \(-0.678059\pi\) | ||||
−0.530669 | + | 0.847579i | \(0.678059\pi\) | |||||||
\(434\) | −1.96950e14 | − | 2.58885e13i | −0.613992 | − | 0.0807075i | ||||
\(435\) | −1.18042e14 | − | 1.18042e14i | −0.363368 | − | 0.363368i | ||||
\(436\) | −2.57062e14 | − | 4.44830e14i | −0.781380 | − | 1.35213i | ||||
\(437\) | −1.92160e13 | + | 1.92160e13i | −0.0576785 | + | 0.0576785i | ||||
\(438\) | 5.98352e13 | + | 7.79461e13i | 0.177357 | + | 0.231040i | ||||
\(439\) | − | 1.16264e14i | − | 0.340323i | −0.985416 | − | 0.170162i | \(-0.945571\pi\) | ||
0.985416 | − | 0.170162i | \(-0.0544290\pi\) | |||||||
\(440\) | 4.55472e13 | + | 1.88339e13i | 0.131665 | + | 0.0544442i | ||||
\(441\) | − | 7.50971e13i | − | 0.214393i | ||||||
\(442\) | 4.93416e13 | − | 3.78770e13i | 0.139120 | − | 0.106796i | ||||
\(443\) | −1.78673e14 | + | 1.78673e14i | −0.497551 | + | 0.497551i | −0.910675 | − | 0.413124i | \(-0.864438\pi\) |
0.413124 | + | 0.910675i | \(0.364438\pi\) | |||||||
\(444\) | −1.71106e14 | − | 4.57736e13i | −0.470607 | − | 0.125895i | ||||
\(445\) | −2.73578e14 | − | 2.73578e14i | −0.743193 | − | 0.743193i | ||||
\(446\) | −7.19627e13 | + | 5.47465e14i | −0.193093 | + | 1.46898i | ||||
\(447\) | 7.02743e13 | 0.186254 | ||||||||
\(448\) | −2.30159e14 | + | 2.30717e14i | −0.602558 | + | 0.604020i | ||||
\(449\) | 7.06977e14 | 1.82831 | 0.914156 | − | 0.405363i | \(-0.132855\pi\) | ||||
0.914156 | + | 0.405363i | \(0.132855\pi\) | |||||||
\(450\) | −1.51591e13 | + | 1.15325e14i | −0.0387262 | + | 0.294614i | ||||
\(451\) | 5.90901e13 | + | 5.90901e13i | 0.149123 | + | 0.149123i | ||||
\(452\) | 5.21843e14 | + | 1.39602e14i | 1.30100 | + | 0.348040i | ||||
\(453\) | 2.26681e14 | − | 2.26681e14i | 0.558311 | − | 0.558311i | ||||
\(454\) | 2.25879e14 | − | 1.73396e14i | 0.549628 | − | 0.421921i | ||||
\(455\) | 3.24946e13i | 0.0781176i | ||||||||
\(456\) | −1.67239e13 | − | 6.91540e12i | −0.0397220 | − | 0.0164252i | ||||
\(457\) | − | 1.46033e13i | − | 0.0342698i | −0.999853 | − | 0.0171349i | \(-0.994546\pi\) | ||
0.999853 | − | 0.0171349i | \(-0.00545448\pi\) | |||||||
\(458\) | 9.16841e12 | + | 1.19435e13i | 0.0212586 | + | 0.0276931i | ||||
\(459\) | 3.84154e14 | − | 3.84154e14i | 0.880106 | − | 0.880106i | ||||
\(460\) | 1.52430e14 | + | 2.63771e14i | 0.345067 | + | 0.597116i | ||||
\(461\) | 9.16736e13 | + | 9.16736e13i | 0.205064 | + | 0.205064i | 0.802166 | − | 0.597102i | \(-0.203681\pi\) |
−0.597102 | + | 0.802166i | \(0.703681\pi\) | |||||||
\(462\) | −3.18121e13 | − | 4.18160e12i | −0.0703171 | − | 0.00924298i | ||||
\(463\) | 2.43203e14 | 0.531219 | 0.265610 | − | 0.964081i | \(-0.414427\pi\) | ||||
0.265610 | + | 0.964081i | \(0.414427\pi\) | |||||||
\(464\) | −1.70062e14 | − | 6.32636e14i | −0.367078 | − | 1.36554i | ||||
\(465\) | −1.23663e14 | −0.263784 | ||||||||
\(466\) | −8.78158e13 | − | 1.15431e13i | −0.185119 | − | 0.0243333i | ||||
\(467\) | 7.14887e13 | + | 7.14887e13i | 0.148934 | + | 0.148934i | 0.777642 | − | 0.628708i | \(-0.216416\pi\) |
−0.628708 | + | 0.777642i | \(0.716416\pi\) | |||||||
\(468\) | 3.84408e13 | − | 2.22145e13i | 0.0791480 | − | 0.0457387i | ||||
\(469\) | 2.04513e14 | − | 2.04513e14i | 0.416169 | − | 0.416169i | ||||
\(470\) | 2.93508e14 | + | 3.82348e14i | 0.590313 | + | 0.768989i | ||||
\(471\) | 1.06382e14i | 0.211472i | ||||||||
\(472\) | 3.75508e14 | + | 9.05004e14i | 0.737798 | + | 1.77816i | ||||
\(473\) | − | 4.28117e13i | − | 0.0831431i | ||||||
\(474\) | 1.41607e11 | − | 1.08704e11i | 0.000271834 | − | 0.000208673i | ||||
\(475\) | 1.31181e13 | − | 1.31181e13i | 0.0248918 | − | 0.0248918i | ||||
\(476\) | −1.77710e14 | + | 6.64294e14i | −0.333329 | + | 1.24601i | ||||
\(477\) | −1.15084e14 | − | 1.15084e14i | −0.213385 | − | 0.213385i | ||||
\(478\) | 9.18921e13 | − | 6.99080e14i | 0.168432 | − | 1.28137i | ||||
\(479\) | −2.74810e14 | −0.497951 | −0.248975 | − | 0.968510i | \(-0.580094\pi\) | ||||
−0.248975 | + | 0.968510i | \(0.580094\pi\) | |||||||
\(480\) | −1.23341e14 | + | 1.61078e14i | −0.220944 | + | 0.288542i | ||||
\(481\) | −6.93054e13 | −0.122735 | ||||||||
\(482\) | −8.83349e13 | + | 6.72019e14i | −0.154658 | + | 1.17658i | ||||
\(483\) | −1.40235e14 | − | 1.40235e14i | −0.242744 | − | 0.242744i | ||||
\(484\) | 1.46084e14 | − | 5.46073e14i | 0.250007 | − | 0.934548i | ||||
\(485\) | −1.50466e14 | + | 1.50466e14i | −0.254601 | + | 0.254601i | ||||
\(486\) | 4.79618e14 | − | 3.68178e14i | 0.802410 | − | 0.615968i | ||||
\(487\) | 4.74099e14i | 0.784260i | 0.919910 | + | 0.392130i | \(0.128262\pi\) | ||||
−0.919910 | + | 0.392130i | \(0.871738\pi\) | |||||||
\(488\) | −7.80405e13 | + | 3.23808e13i | −0.127647 | + | 0.0529638i | ||||
\(489\) | − | 1.98227e14i | − | 0.320600i | ||||||
\(490\) | 8.17614e13 | + | 1.06509e14i | 0.130759 | + | 0.170337i | ||||
\(491\) | 3.34687e14 | − | 3.34687e14i | 0.529287 | − | 0.529287i | −0.391073 | − | 0.920360i | \(-0.627896\pi\) |
0.920360 | + | 0.391073i | \(0.127896\pi\) | |||||||
\(492\) | −2.97821e14 | + | 1.72107e14i | −0.465744 | + | 0.269148i | ||||
\(493\) | −9.77437e14 | − | 9.77437e14i | −1.51158 | − | 1.51158i | ||||
\(494\) | −7.02080e12 | − | 9.22863e11i | −0.0107371 | − | 0.00141136i | ||||
\(495\) | 7.42310e13 | 0.112268 | ||||||||
\(496\) | −4.20460e14 | − | 2.42300e14i | −0.628891 | − | 0.362413i | ||||
\(497\) | 1.10049e15 | 1.62790 | ||||||||
\(498\) | −2.59202e14 | − | 3.40714e13i | −0.379208 | − | 0.0498458i | ||||
\(499\) | −3.00431e14 | − | 3.00431e14i | −0.434702 | − | 0.434702i | 0.455523 | − | 0.890224i | \(-0.349452\pi\) |
−0.890224 | + | 0.455523i | \(0.849452\pi\) | |||||||
\(500\) | −3.80000e14 | − | 6.57565e14i | −0.543811 | − | 0.941031i | ||||
\(501\) | 7.53192e13 | − | 7.53192e13i | 0.106610 | − | 0.106610i | ||||
\(502\) | 5.27754e14 | + | 6.87495e14i | 0.738859 | + | 0.962497i | ||||
\(503\) | 7.90668e14i | 1.09489i | 0.836842 | + | 0.547444i | \(0.184399\pi\) | ||||
−0.836842 | + | 0.547444i | \(0.815601\pi\) | |||||||
\(504\) | −1.87552e14 | + | 4.53568e14i | −0.256894 | + | 0.621261i | ||||
\(505\) | − | 5.96217e13i | − | 0.0807796i | ||||||
\(506\) | −9.33663e13 | + | 7.16724e13i | −0.125130 | + | 0.0960560i | ||||
\(507\) | 2.42295e14 | − | 2.42295e14i | 0.321218 | − | 0.321218i | ||||
\(508\) | −4.06692e14 | − | 1.08797e14i | −0.533354 | − | 0.142681i | ||||
\(509\) | −3.74275e14 | − | 3.74275e14i | −0.485560 | − | 0.485560i | 0.421342 | − | 0.906902i | \(-0.361559\pi\) |
−0.906902 | + | 0.421342i | \(0.861559\pi\) | |||||||
\(510\) | −5.57910e13 | + | 4.24437e14i | −0.0716025 | + | 0.544725i | ||||
\(511\) | −4.25054e14 | −0.539671 | ||||||||
\(512\) | −7.34975e14 | + | 3.06003e14i | −0.923183 | + | 0.384362i | ||||
\(513\) | −6.18461e13 | −0.0768540 | ||||||||
\(514\) | −1.08703e13 | + | 8.26970e13i | −0.0133642 | + | 0.101670i | ||||
\(515\) | −5.54752e14 | − | 5.54752e14i | −0.674775 | − | 0.674775i | ||||
\(516\) | 1.70235e14 | + | 4.55407e13i | 0.204869 | + | 0.0548058i | ||||
\(517\) | −1.31685e14 | + | 1.31685e14i | −0.156798 | + | 0.156798i | ||||
\(518\) | 6.07745e14 | − | 4.66534e14i | 0.715992 | − | 0.549629i | ||||
\(519\) | 5.36006e14i | 0.624811i | ||||||||
\(520\) | −3.03340e13 | + | 7.33585e13i | −0.0349874 | + | 0.0846121i | ||||
\(521\) | − | 3.28240e14i | − | 0.374614i | −0.982301 | − | 0.187307i | \(-0.940024\pi\) | ||
0.982301 | − | 0.187307i | \(-0.0599759\pi\) | |||||||
\(522\) | −6.00777e14 | − | 7.82621e14i | −0.678462 | − | 0.883820i | ||||
\(523\) | −7.89619e14 | + | 7.89619e14i | −0.882385 | + | 0.882385i | −0.993777 | − | 0.111392i | \(-0.964469\pi\) |
0.111392 | + | 0.993777i | \(0.464469\pi\) | |||||||
\(524\) | −6.09245e14 | − | 1.05426e15i | −0.673705 | − | 1.16580i | ||||
\(525\) | 9.57339e13 | + | 9.57339e13i | 0.104759 | + | 0.104759i | ||||
\(526\) | 5.39871e14 | + | 7.09645e13i | 0.584613 | + | 0.0768457i | ||||
\(527\) | −1.02398e15 | −1.09732 | ||||||||
\(528\) | −6.79141e13 | − | 3.91371e13i | −0.0720233 | − | 0.0415051i | ||||
\(529\) | 2.25279e14 | 0.236437 | ||||||||
\(530\) | 2.88519e14 | + | 3.79250e13i | 0.299680 | + | 0.0393920i | ||||
\(531\) | 1.04346e15 | + | 1.04346e15i | 1.07265 | + | 1.07265i | ||||
\(532\) | 6.77784e13 | − | 3.91684e13i | 0.0689568 | − | 0.0398494i | ||||
\(533\) | −9.51709e13 | + | 9.51709e13i | −0.0958306 | + | 0.0958306i | ||||
\(534\) | 3.74669e14 | + | 4.88074e14i | 0.373397 | + | 0.486417i | ||||
\(535\) | 1.11281e15i | 1.09768i | ||||||||
\(536\) | 6.52615e14 | − | 2.70785e14i | 0.637163 | − | 0.264374i | ||||
\(537\) | 6.62558e14i | 0.640273i | ||||||||
\(538\) | 1.24790e15 | − | 9.57949e14i | 1.19365 | − | 0.916305i | ||||
\(539\) | −3.66831e13 | + | 3.66831e13i | −0.0347318 | + | 0.0347318i | ||||
\(540\) | −1.79173e14 | + | 6.69766e14i | −0.167922 | + | 0.627707i | ||||
\(541\) | 3.87444e13 | + | 3.87444e13i | 0.0359438 | + | 0.0359438i | 0.724850 | − | 0.688906i | \(-0.241909\pi\) |
−0.688906 | + | 0.724850i | \(0.741909\pi\) | |||||||
\(542\) | 8.88293e12 | − | 6.75780e13i | 0.00815756 | − | 0.0620596i | ||||
\(543\) | 9.51442e14 | 0.864934 | ||||||||
\(544\) | −1.02131e15 | + | 1.33379e15i | −0.919106 | + | 1.20031i | ||||
\(545\) | 1.38349e15 | 1.23252 | ||||||||
\(546\) | 6.73492e12 | − | 5.12367e13i | 0.00593981 | − | 0.0451879i | ||||
\(547\) | 7.46902e14 | + | 7.46902e14i | 0.652129 | + | 0.652129i | 0.953505 | − | 0.301377i | \(-0.0974462\pi\) |
−0.301377 | + | 0.953505i | \(0.597446\pi\) | |||||||
\(548\) | 4.38242e14 | − | 1.63819e15i | 0.378810 | − | 1.41602i | ||||
\(549\) | −8.99802e13 | + | 8.99802e13i | −0.0770015 | + | 0.0770015i | ||||
\(550\) | 6.37381e13 | − | 4.89284e13i | 0.0540013 | − | 0.0414540i | ||||
\(551\) | 1.57361e14i | 0.131996i | ||||||||
\(552\) | −1.85678e14 | − | 4.47500e14i | −0.154204 | − | 0.371645i | ||||
\(553\) | 7.72208e11i | 0.000634959i | ||||||||
\(554\) | −9.92766e14 | − | 1.29326e15i | −0.808245 | − | 1.05289i | ||||
\(555\) | 3.37264e14 | − | 3.37264e14i | 0.271869 | − | 0.271869i | ||||
\(556\) | 1.37021e15 | − | 7.91830e14i | 1.09364 | − | 0.632005i | ||||
\(557\) | 3.84096e14 | + | 3.84096e14i | 0.303554 | + | 0.303554i | 0.842403 | − | 0.538849i | \(-0.181141\pi\) |
−0.538849 | + | 0.842403i | \(0.681141\pi\) | |||||||
\(558\) | −7.24635e14 | − | 9.52512e13i | −0.567063 | − | 0.0745388i | ||||
\(559\) | 6.89528e13 | 0.0534302 | ||||||||
\(560\) | −2.27816e14 | − | 8.47484e14i | −0.174804 | − | 0.650275i | ||||
\(561\) | −1.65397e14 | −0.125670 | ||||||||
\(562\) | −1.28381e15 | − | 1.68753e14i | −0.965940 | − | 0.126970i | ||||
\(563\) | −1.33405e15 | − | 1.33405e15i | −0.993979 | − | 0.993979i | 0.00600253 | − | 0.999982i | \(-0.498089\pi\) |
−0.999982 | + | 0.00600253i | \(0.998089\pi\) | |||||||
\(564\) | −3.83550e14 | − | 6.63710e14i | −0.283001 | − | 0.489715i | ||||
\(565\) | −1.02860e15 | + | 1.02860e15i | −0.751587 | + | 0.751587i | ||||
\(566\) | 9.86019e14 | + | 1.28447e15i | 0.713502 | + | 0.929465i | ||||
\(567\) | 4.86773e14i | 0.348835i | ||||||||
\(568\) | 2.48443e15 | + | 1.02732e15i | 1.76324 | + | 0.729106i | ||||
\(569\) | − | 6.39918e14i | − | 0.449787i | −0.974383 | − | 0.224893i | \(-0.927797\pi\) | ||
0.974383 | − | 0.224893i | \(-0.0722034\pi\) | |||||||
\(570\) | 3.86567e13 | − | 2.96747e13i | 0.0269099 | − | 0.0206574i | ||||
\(571\) | 1.74958e15 | − | 1.74958e15i | 1.20625 | − | 1.20625i | 0.234014 | − | 0.972233i | \(-0.424814\pi\) |
0.972233 | − | 0.234014i | \(-0.0751860\pi\) | |||||||
\(572\) | −2.96286e13 | − | 7.92613e12i | −0.0202317 | − | 0.00541231i | ||||
\(573\) | −1.95589e14 | − | 1.95589e14i | −0.132280 | − | 0.132280i | ||||
\(574\) | 1.93912e14 | − | 1.47521e15i | 0.129894 | − | 0.988187i | ||||
\(575\) | 4.96661e14 | 0.329524 | ||||||||
\(576\) | −8.46820e14 | + | 8.48874e14i | −0.556503 | + | 0.557853i | ||||
\(577\) | −1.55990e15 | −1.01538 | −0.507690 | − | 0.861540i | \(-0.669501\pi\) | ||||
−0.507690 | + | 0.861540i | \(0.669501\pi\) | |||||||
\(578\) | −2.59840e14 | + | 1.97676e15i | −0.167534 | + | 1.27454i | ||||
\(579\) | 3.74488e14 | + | 3.74488e14i | 0.239169 | + | 0.239169i | ||||
\(580\) | 1.70415e15 | + | 4.55887e14i | 1.07808 | + | 0.288405i | ||||
\(581\) | 7.99636e14 | − | 7.99636e14i | 0.501099 | − | 0.501099i | ||||
\(582\) | 2.68437e14 | − | 2.06065e14i | 0.166635 | − | 0.127917i | ||||
\(583\) | 1.12432e14i | 0.0691371i | ||||||||
\(584\) | −9.59583e14 | − | 3.96792e14i | −0.584537 | − | 0.241708i | ||||
\(585\) | 1.19557e14i | 0.0721468i | ||||||||
\(586\) | 4.67606e14 | + | 6.09141e14i | 0.279540 | + | 0.364151i | ||||
\(587\) | −5.95871e14 | + | 5.95871e14i | −0.352893 | + | 0.352893i | −0.861185 | − | 0.508292i | \(-0.830277\pi\) |
0.508292 | + | 0.861185i | \(0.330277\pi\) | |||||||
\(588\) | −1.06844e14 | − | 1.84887e14i | −0.0626867 | − | 0.108475i | ||||
\(589\) | 8.24267e13 | + | 8.24267e13i | 0.0479109 | + | 0.0479109i | ||||
\(590\) | −2.61599e15 | − | 3.43864e14i | −1.50643 | − | 0.198016i | ||||
\(591\) | −1.89200e14 | −0.107942 | ||||||||
\(592\) | 1.80754e15 | − | 4.85893e14i | 1.02169 | − | 0.274645i | ||||
\(593\) | 4.06287e14 | 0.227526 | 0.113763 | − | 0.993508i | \(-0.463709\pi\) | ||||
0.113763 | + | 0.993508i | \(0.463709\pi\) | |||||||
\(594\) | −2.65586e14 | − | 3.49105e13i | −0.147360 | − | 0.0193701i | ||||
\(595\) | −1.30938e15 | − | 1.30938e15i | −0.719819 | − | 0.719819i | ||||
\(596\) | −6.42968e14 | + | 3.71564e14i | −0.350215 | + | 0.202385i | ||||
\(597\) | −8.70828e14 | + | 8.70828e14i | −0.469974 | + | 0.469974i | ||||
\(598\) | −1.15436e14 | − | 1.50376e14i | −0.0617284 | − | 0.0804124i | ||||
\(599\) | − | 2.58399e15i | − | 1.36913i | −0.728953 | − | 0.684563i | \(-0.759993\pi\) | ||
0.728953 | − | 0.684563i | \(-0.240007\pi\) | |||||||
\(600\) | 1.26756e14 | + | 3.05493e14i | 0.0665485 | + | 0.160387i | ||||
\(601\) | 8.49105e14i | 0.441725i | 0.975305 | + | 0.220862i | \(0.0708872\pi\) | ||||
−0.975305 | + | 0.220862i | \(0.929113\pi\) | |||||||
\(602\) | −6.04653e14 | + | 4.64161e14i | −0.311692 | + | 0.239270i | ||||
\(603\) | 7.52460e14 | − | 7.52460e14i | 0.384360 | − | 0.384360i | ||||
\(604\) | −8.75458e14 | + | 3.27254e15i | −0.443131 | + | 1.65646i | ||||
\(605\) | 1.07636e15 | + | 1.07636e15i | 0.539887 | + | 0.539887i | ||||
\(606\) | −1.23573e13 | + | 9.40100e13i | −0.00614223 | + | 0.0467277i | ||||
\(607\) | −9.22193e14 | −0.454238 | −0.227119 | − | 0.973867i | \(-0.572931\pi\) | ||||
−0.227119 | + | 0.973867i | \(0.572931\pi\) | |||||||
\(608\) | 1.89578e14 | − | 2.51531e13i | 0.0925374 | − | 0.0122778i | ||||
\(609\) | −1.14839e15 | −0.555515 | ||||||||
\(610\) | 2.96522e13 | − | 2.25583e14i | 0.0142149 | − | 0.108141i | ||||
\(611\) | −2.12093e14 | − | 2.12093e14i | −0.100763 | − | 0.100763i | ||||
\(612\) | −6.53843e14 | + | 2.44412e15i | −0.307851 | + | 1.15078i | ||||
\(613\) | −4.49009e14 | + | 4.49009e14i | −0.209518 | + | 0.209518i | −0.804063 | − | 0.594544i | \(-0.797332\pi\) |
0.594544 | + | 0.804063i | \(0.297332\pi\) | |||||||
\(614\) | −1.80816e15 | + | 1.38803e15i | −0.836203 | + | 0.641910i | ||||
\(615\) | − | 9.26270e14i | − | 0.424546i | ||||||
\(616\) | 3.13171e14 | − | 1.29942e14i | 0.142262 | − | 0.0590277i | ||||
\(617\) | 1.59922e15i | 0.720014i | 0.932950 | + | 0.360007i | \(0.117226\pi\) | ||||
−0.932950 | + | 0.360007i | \(0.882774\pi\) | |||||||
\(618\) | 7.59739e14 | + | 9.89698e14i | 0.339022 | + | 0.441637i | ||||
\(619\) | −9.83868e14 | + | 9.83868e14i | −0.435149 | + | 0.435149i | −0.890376 | − | 0.455226i | \(-0.849558\pi\) |
0.455226 | + | 0.890376i | \(0.349558\pi\) | |||||||
\(620\) | 1.13144e15 | − | 6.53848e14i | 0.495996 | − | 0.286631i | ||||
\(621\) | −1.17077e15 | − | 1.17077e15i | −0.508706 | − | 0.508706i | ||||
\(622\) | 2.62489e14 | + | 3.45034e13i | 0.113048 | + | 0.0148599i | ||||
\(623\) | −2.66155e15 | −1.13619 | ||||||||
\(624\) | 6.30344e13 | − | 1.09383e14i | 0.0266724 | − | 0.0462843i | ||||
\(625\) | 1.14604e15 | 0.480684 | ||||||||
\(626\) | −3.22153e14 | − | 4.23461e13i | −0.133938 | − | 0.0176057i | ||||
\(627\) | 1.33138e13 | + | 1.33138e13i | 0.00548696 | + | 0.00548696i | ||||
\(628\) | −5.62477e14 | − | 9.73331e14i | −0.229788 | − | 0.397633i | ||||
\(629\) | 2.79268e15 | − | 2.79268e15i | 1.13095 | − | 1.13095i | ||||
\(630\) | −8.04806e14 | − | 1.04841e15i | −0.323086 | − | 0.420878i | ||||
\(631\) | − | 3.81351e15i | − | 1.51762i | −0.651311 | − | 0.758811i | \(-0.725780\pi\) | ||
0.651311 | − | 0.758811i | \(-0.274220\pi\) | |||||||
\(632\) | −7.20863e11 | + | 1.74330e12i | −0.000284386 | + | 0.000687748i | ||||
\(633\) | 9.05046e14i | 0.353957i | ||||||||
\(634\) | −8.95686e14 | + | 6.87571e14i | −0.347268 | + | 0.266580i | ||||
\(635\) | 8.01627e14 | − | 8.01627e14i | 0.308118 | − | 0.308118i | ||||
\(636\) | −4.47069e14 | − | 1.19598e14i | −0.170357 | − | 0.0455734i | ||||
\(637\) | −5.90820e13 | − | 5.90820e13i | −0.0223197 | − | 0.0223197i | ||||
\(638\) | −8.88261e13 | + | 6.75755e14i | −0.0332680 | + | 0.253090i | ||||
\(639\) | 4.04903e15 | 1.50347 | ||||||||
\(640\) | 2.76825e14 | − | 2.12591e15i | 0.101910 | − | 0.782629i | ||||
\(641\) | 8.09256e13 | 0.0295370 | 0.0147685 | − | 0.999891i | \(-0.495299\pi\) | ||||
0.0147685 | + | 0.999891i | \(0.495299\pi\) | |||||||
\(642\) | 2.30644e14 | − | 1.75466e15i | 0.0834642 | − | 0.634964i | ||||
\(643\) | −4.31419e14 | − | 4.31419e14i | −0.154788 | − | 0.154788i | 0.625464 | − | 0.780253i | \(-0.284910\pi\) |
−0.780253 | + | 0.625464i | \(0.784910\pi\) | |||||||
\(644\) | 2.02454e15 | + | 5.41598e14i | 0.720202 | + | 0.192666i | ||||
\(645\) | −3.35549e14 | + | 3.35549e14i | −0.118352 | + | 0.118352i | ||||
\(646\) | 3.20093e14 | − | 2.45718e14i | 0.111943 | − | 0.0859328i | ||||
\(647\) | − | 2.56351e15i | − | 0.888918i | −0.895799 | − | 0.444459i | \(-0.853396\pi\) | ||
0.895799 | − | 0.444459i | \(-0.146604\pi\) | |||||||
\(648\) | −4.54408e14 | + | 1.09892e15i | −0.156237 | + | 0.377836i | ||||
\(649\) | − | 1.01941e15i | − | 0.347539i | ||||||
\(650\) | 7.88044e13 | + | 1.02657e14i | 0.0266395 | + | 0.0347028i | ||||
\(651\) | −6.01538e14 | + | 6.01538e14i | −0.201636 | + | 0.201636i | ||||
\(652\) | 1.04809e15 | + | 1.81366e15i | 0.348367 | + | 0.602827i | ||||
\(653\) | 1.70508e15 | + | 1.70508e15i | 0.561983 | + | 0.561983i | 0.929870 | − | 0.367887i | \(-0.119919\pi\) |
−0.367887 | + | 0.929870i | \(0.619919\pi\) | |||||||
\(654\) | −2.18145e15 | − | 2.86746e14i | −0.712965 | − | 0.0937172i | ||||
\(655\) | 3.27892e15 | 1.06268 | ||||||||
\(656\) | 1.81489e15 | − | 3.14936e15i | 0.583284 | − | 1.01216i | ||||
\(657\) | −1.56389e15 | −0.498422 | ||||||||
\(658\) | 3.28759e15 | + | 4.32144e14i | 1.03905 | + | 0.136580i | ||||
\(659\) | 3.27825e15 | + | 3.27825e15i | 1.02748 | + | 1.02748i | 0.999612 | + | 0.0278658i | \(0.00887111\pi\) |
0.0278658 | + | 0.999612i | \(0.491129\pi\) | |||||||
\(660\) | 1.82754e14 | − | 1.05612e14i | 0.0568037 | − | 0.0328262i | ||||
\(661\) | −3.34786e15 | + | 3.34786e15i | −1.03195 | + | 1.03195i | −0.0324779 | + | 0.999472i | \(0.510340\pi\) |
−0.999472 | + | 0.0324779i | \(0.989660\pi\) | |||||||
\(662\) | −1.48963e15 | − | 1.94051e15i | −0.455365 | − | 0.593195i | ||||
\(663\) | − | 2.66389e14i | − | 0.0807591i | ||||||
\(664\) | 2.55169e15 | − | 1.05876e15i | 0.767191 | − | 0.318326i | ||||
\(665\) | 2.10801e14i | 0.0628571i | ||||||||
\(666\) | 2.23607e15 | − | 1.71651e15i | 0.661266 | − | 0.507619i | ||||
\(667\) | −2.97889e15 | + | 2.97889e15i | −0.873700 | + | 0.873700i | ||||
\(668\) | −2.90887e14 | + | 1.08736e15i | −0.0846164 | + | 0.316304i | ||||
\(669\) | 1.67210e15 | + | 1.67210e15i | 0.482413 | + | 0.482413i | ||||
\(670\) | −2.47967e14 | + | 1.88644e15i | −0.0709548 | + | 0.539798i | ||||
\(671\) | 8.79061e13 | 0.0249486 | ||||||||
\(672\) | 1.83564e14 | + | 1.38351e15i | 0.0516721 | + | 0.389449i | ||||
\(673\) | −6.35604e15 | −1.77461 | −0.887307 | − | 0.461180i | \(-0.847426\pi\) | ||||
−0.887307 | + | 0.461180i | \(0.847426\pi\) | |||||||
\(674\) | −1.57552e14 | + | 1.19860e15i | −0.0436310 | + | 0.331928i | ||||
\(675\) | 7.99244e14 | + | 7.99244e14i | 0.219538 | + | 0.219538i | ||||
\(676\) | −9.35757e14 | + | 3.49794e15i | −0.254951 | + | 0.953029i | ||||
\(677\) | 4.38761e15 | − | 4.38761e15i | 1.18574 | − | 1.18574i | 0.207509 | − | 0.978233i | \(-0.433464\pi\) |
0.978233 | − | 0.207509i | \(-0.0665357\pi\) | |||||||
\(678\) | 1.83506e15 | − | 1.40868e15i | 0.491911 | − | 0.377615i | ||||
\(679\) | 1.46384e15i | 0.389232i | ||||||||
\(680\) | −1.73369e15 | − | 4.17833e15i | −0.457269 | − | 1.10206i | ||||
\(681\) | − | 1.21949e15i | − | 0.319058i | ||||||
\(682\) | 3.07438e14 | + | 4.00494e14i | 0.0797892 | + | 0.103940i | ||||
\(683\) | −4.43219e15 | + | 4.43219e15i | −1.14105 | + | 1.14105i | −0.152790 | + | 0.988259i | \(0.548826\pi\) |
−0.988259 | + | 0.152790i | \(0.951174\pi\) | |||||||
\(684\) | 2.49376e14 | − | 1.44111e14i | 0.0636862 | − | 0.0368035i | ||||
\(685\) | 3.22901e15 | + | 3.22901e15i | 0.818035 | + | 0.818035i | ||||
\(686\) | 4.28173e15 | + | 5.62821e14i | 1.07606 | + | 0.141445i | ||||
\(687\) | 6.44814e13 | 0.0160758 | ||||||||
\(688\) | −1.79834e15 | + | 4.83421e14i | −0.444770 | + | 0.119561i | ||||
\(689\) | −1.81083e14 | −0.0444295 | ||||||||
\(690\) | 1.29354e15 | + | 1.70032e14i | 0.314854 | + | 0.0413866i | ||||
\(691\) | 2.89530e14 | + | 2.89530e14i | 0.0699139 | + | 0.0699139i | 0.741199 | − | 0.671285i | \(-0.234257\pi\) |
−0.671285 | + | 0.741199i | \(0.734257\pi\) | |||||||
\(692\) | −2.83404e15 | − | 4.90413e15i | −0.678927 | − | 1.17484i | ||||
\(693\) | 3.61084e14 | − | 3.61084e14i | 0.0858174 | − | 0.0858174i | ||||
\(694\) | −4.11027e15 | − | 5.35437e15i | −0.969156 | − | 1.26250i | ||||
\(695\) | 4.26157e15i | 0.996905i | ||||||||
\(696\) | −2.59257e15 | − | 1.07204e15i | −0.601699 | − | 0.248805i | ||||
\(697\) | − | 7.66989e15i | − | 1.76607i | ||||||
\(698\) | −1.24617e15 | + | 9.56618e14i | −0.284690 | + | 0.218541i | ||||
\(699\) | −2.68213e14 | + | 2.68213e14i | −0.0607932 | + | 0.0607932i | ||||
\(700\) | −1.38209e15 | − | 3.69731e14i | −0.310811 | − | 0.0831469i | ||||
\(701\) | 1.61287e15 | + | 1.61287e15i | 0.359874 | + | 0.359874i | 0.863766 | − | 0.503892i | \(-0.168099\pi\) |
−0.503892 | + | 0.863766i | \(0.668099\pi\) | |||||||
\(702\) | 5.62271e13 | − | 4.27755e14i | 0.0124478 | − | 0.0946980i | ||||
\(703\) | −4.49603e14 | −0.0987585 | ||||||||
\(704\) | 8.28304e14 | − | 1.00354e12i | 0.180526 | − | 0.000218718i | ||||
\(705\) | 2.06424e15 | 0.446396 | ||||||||
\(706\) | 3.27103e14 | − | 2.48848e15i | 0.0701874 | − | 0.533960i | ||||
\(707\) | −2.90020e14 | − | 2.90020e14i | −0.0617477 | − | 0.0617477i | ||||
\(708\) | 4.05356e15 | + | 1.08439e15i | 0.856355 | + | 0.229089i | ||||
\(709\) | 1.86537e14 | − | 1.86537e14i | 0.0391030 | − | 0.0391030i | −0.687285 | − | 0.726388i | \(-0.741198\pi\) |
0.726388 | + | 0.687285i | \(0.241198\pi\) | |||||||
\(710\) | −5.74267e15 | + | 4.40835e15i | −1.19452 | + | 0.916970i | ||||
\(711\) | 2.84117e12i | 0.000586427i | ||||||||
\(712\) | −6.00861e15 | − | 2.48458e15i | −1.23065 | − | 0.508878i | ||||
\(713\) | 3.12074e15i | 0.634256i | ||||||||
\(714\) | 1.79322e15 | + | 2.33599e15i | 0.361653 | + | 0.471119i | ||||
\(715\) | 5.84005e13 | − | 5.84005e13i | 0.0116878 | − | 0.0116878i | ||||
\(716\) | −3.50317e15 | − | 6.06201e15i | −0.695728 | − | 1.20391i | ||||
\(717\) | −2.13518e15 | − | 2.13518e15i | −0.420802 | − | 0.420802i | ||||
\(718\) | 5.26957e15 | + | 6.92670e14i | 1.03060 | + | 0.135470i | ||||
\(719\) | −6.94242e15 | −1.34742 | −0.673709 | − | 0.738997i | \(-0.735300\pi\) | ||||
−0.673709 | + | 0.738997i | \(0.735300\pi\) | |||||||
\(720\) | −8.38201e14 | − | 3.11813e15i | −0.161443 | − | 0.600573i | ||||
\(721\) | −5.39699e15 | −1.03159 | ||||||||
\(722\) | 5.18124e15 | + | 6.81059e14i | 0.982832 | + | 0.129190i | ||||
\(723\) | 2.05252e15 | + | 2.05252e15i | 0.386391 | + | 0.386391i | ||||
\(724\) | −8.70512e15 | + | 5.03059e15i | −1.62635 | + | 0.939847i | ||||
\(725\) | 2.03359e15 | − | 2.03359e15i | 0.377055 | − | 0.377055i | ||||
\(726\) | −1.47409e15 | − | 1.92026e15i | −0.271251 | − | 0.353354i | ||||
\(727\) | 4.03478e15i | 0.736853i | 0.929657 | + | 0.368426i | \(0.120103\pi\) | ||||
−0.929657 | + | 0.368426i | \(0.879897\pi\) | |||||||
\(728\) | 2.09285e14 | + | 5.04395e14i | 0.0379329 | + | 0.0914215i | ||||
\(729\) | − | 3.16490e14i | − | 0.0569323i | ||||||
\(730\) | 2.21804e15 | − | 1.70268e15i | 0.395999 | − | 0.303988i | ||||
\(731\) | −2.77848e15 | + | 2.77848e15i | −0.492335 | + | 0.492335i | ||||
\(732\) | −9.35097e13 | + | 3.49547e14i | −0.0164454 | + | 0.0614745i | ||||
\(733\) | −5.85001e15 | − | 5.85001e15i | −1.02114 | − | 1.02114i | −0.999772 | − | 0.0213673i | \(-0.993198\pi\) |
−0.0213673 | − | 0.999772i | \(-0.506802\pi\) | |||||||
\(734\) | −3.85606e14 | + | 2.93355e15i | −0.0668060 | + | 0.508235i | ||||
\(735\) | 5.75028e14 | 0.0988800 | ||||||||
\(736\) | 4.06493e15 | + | 3.11262e15i | 0.693785 | + | 0.531248i | ||||
\(737\) | −7.35116e14 | −0.124533 | ||||||||
\(738\) | 7.13458e14 | − | 5.42772e15i | 0.119966 | − | 0.912657i | ||||
\(739\) | 6.33201e15 | + | 6.33201e15i | 1.05681 | + | 1.05681i | 0.998286 | + | 0.0585244i | \(0.0186395\pi\) |
0.0585244 | + | 0.998286i | \(0.481360\pi\) | |||||||
\(740\) | −1.30254e15 | + | 4.86900e15i | −0.215782 | + | 0.806613i | ||||
\(741\) | −2.14434e13 | + | 2.14434e13i | −0.00352608 | + | 0.00352608i | ||||
\(742\) | 1.58793e15 | − | 1.21897e15i | 0.259185 | − | 0.198963i | ||||
\(743\) | − | 7.78552e15i | − | 1.26139i | −0.776031 | − | 0.630695i | \(-0.782770\pi\) | ||
0.776031 | − | 0.630695i | \(-0.217230\pi\) | |||||||
\(744\) | −1.91955e15 | + | 7.96466e14i | −0.308708 | + | 0.128090i | ||||
\(745\) | − | 1.99973e15i | − | 0.319236i | ||||||
\(746\) | 5.97315e15 | + | 7.78110e15i | 0.946541 | + | 1.23304i | ||||
\(747\) | 2.94208e15 | − | 2.94208e15i | 0.462798 | − | 0.462798i | ||||
\(748\) | 1.51328e15 | − | 8.74507e14i | 0.236298 | − | 0.136554i | ||||
\(749\) | 5.41309e15 | + | 5.41309e15i | 0.839065 | + | 0.839065i | ||||
\(750\) | −3.22471e15 | − | 4.23879e14i | −0.496197 | − | 0.0652236i | ||||
\(751\) | 2.79527e15 | 0.426976 | 0.213488 | − | 0.976946i | \(-0.431518\pi\) | ||||
0.213488 | + | 0.976946i | \(0.431518\pi\) | |||||||
\(752\) | 7.01852e15 | + | 4.04459e15i | 1.06426 | + | 0.613304i | ||||
\(753\) | 3.71169e15 | 0.558727 | ||||||||
\(754\) | −1.08838e15 | − | 1.43064e14i | −0.162643 | − | 0.0213790i | ||||
\(755\) | −6.45047e15 | − | 6.45047e15i | −0.956936 | − | 0.956936i | ||||
\(756\) | 2.38640e15 | + | 4.12952e15i | 0.351459 | + | 0.608177i | ||||
\(757\) | 2.93505e15 | − | 2.93505e15i | 0.429130 | − | 0.429130i | −0.459202 | − | 0.888332i | \(-0.651865\pi\) |
0.888332 | + | 0.459202i | \(0.151865\pi\) | |||||||
\(758\) | 4.73992e15 | + | 6.17461e15i | 0.688003 | + | 0.896249i | ||||
\(759\) | 5.04072e14i | 0.0726378i | ||||||||
\(760\) | −1.96785e14 | + | 4.75897e14i | −0.0281525 | + | 0.0680829i | ||||
\(761\) | − | 8.83693e14i | − | 0.125512i | −0.998029 | − | 0.0627561i | \(-0.980011\pi\) | ||
0.998029 | − | 0.0627561i | \(-0.0199890\pi\) | |||||||
\(762\) | −1.43013e15 | + | 1.09784e15i | −0.201662 | + | 0.154805i | ||||
\(763\) | 6.72976e15 | − | 6.72976e15i | 0.942138 | − | 0.942138i | ||||
\(764\) | 2.82366e15 | + | 7.55376e14i | 0.392464 | + | 0.104990i | ||||
\(765\) | −4.81759e15 | − | 4.81759e15i | −0.664801 | − | 0.664801i | ||||
\(766\) | 5.86229e14 | − | 4.45981e15i | 0.0803173 | − | 0.611024i | ||||
\(767\) | 1.64187e15 | 0.223339 | ||||||||
\(768\) | −8.77113e14 | + | 3.29471e15i | −0.118459 | + | 0.444970i | ||||
\(769\) | 1.16185e16 | 1.55796 | 0.778979 | − | 0.627049i | \(-0.215738\pi\) | ||||
0.778979 | + | 0.627049i | \(0.215738\pi\) | |||||||
\(770\) | −1.18992e14 | + | 9.05247e14i | −0.0158423 | + | 0.120523i | ||||
\(771\) | 2.52578e14 | + | 2.52578e14i | 0.0333885 | + | 0.0333885i | ||||
\(772\) | −5.40639e15 | − | 1.44630e15i | −0.709597 | − | 0.189829i | ||||
\(773\) | −2.72914e15 | + | 2.72914e15i | −0.355663 | + | 0.355663i | −0.862212 | − | 0.506548i | \(-0.830921\pi\) |
0.506548 | + | 0.862212i | \(0.330921\pi\) | |||||||
\(774\) | −2.22469e15 | + | 1.70778e15i | −0.287868 | + | 0.220982i | ||||
\(775\) | − | 2.13042e15i | − | 0.273720i | ||||||
\(776\) | −1.36650e15 | + | 3.30470e15i | −0.174330 | + | 0.421592i | ||||
\(777\) | − | 3.28113e15i | − | 0.415631i | ||||||
\(778\) | −2.03015e15 | − | 2.64463e15i | −0.255352 | − | 0.332643i | ||||
\(779\) | −6.17399e14 | + | 6.17399e14i | −0.0771099 | + | 0.0771099i | ||||
\(780\) | 1.70099e14 | + | 2.94345e14i | 0.0210951 | + | 0.0365037i | ||||
\(781\) | −1.97785e15 | − | 1.97785e15i | −0.243564 | − | 0.243564i | ||||
\(782\) | 1.07110e16 | + | 1.40793e15i | 1.30976 | + | 0.172165i | ||||
\(783\) | −9.58748e15 | −1.16417 | ||||||||
\(784\) | 1.95512e15 | + | 1.12668e15i | 0.235741 | + | 0.135851i | ||||
\(785\) | 3.02721e15 | 0.362460 | ||||||||
\(786\) | −5.17011e15 | − | 6.79596e14i | −0.614718 | − | 0.0808029i | ||||
\(787\) | −8.50494e15 | − | 8.50494e15i | −1.00418 | − | 1.00418i | −0.999991 | − | 0.00418577i | \(-0.998668\pi\) |
−0.00418577 | − | 0.999991i | \(-0.501332\pi\) | |||||||
\(788\) | 1.73107e15 | − | 1.00036e15i | 0.202964 | − | 0.117291i | ||||
\(789\) | 1.64891e15 | − | 1.64891e15i | 0.191987 | − | 0.191987i | ||||
\(790\) | −3.09330e12 | − | 4.02958e12i | −0.000357662 | − | 0.000465920i | ||||
\(791\) | 1.00069e16i | 1.14902i | ||||||||
\(792\) | 1.15224e15 | − | 4.78093e14i | 0.131388 | − | 0.0545160i | ||||
\(793\) | 1.41582e14i | 0.0160327i | ||||||||
\(794\) | −1.23437e16 | + | 9.47563e15i | −1.38814 | + | 1.06560i | ||||
\(795\) | 8.81213e14 | − | 8.81213e14i | 0.0984151 | − | 0.0984151i | ||||
\(796\) | 3.36319e15 | − | 1.25719e16i | 0.373018 | − | 1.39438i | ||||
\(797\) | −2.28772e15 | − | 2.28772e15i | −0.251990 | − | 0.251990i | 0.569796 | − | 0.821786i | \(-0.307022\pi\) |
−0.821786 | + | 0.569796i | \(0.807022\pi\) | |||||||
\(798\) | 4.36912e13 | − | 3.32386e14i | 0.00477945 | − | 0.0363603i | ||||
\(799\) | 1.70928e16 | 1.85697 | ||||||||
\(800\) | −2.77499e15 | − | 2.12488e15i | −0.299410 | − | 0.229266i | ||||
\(801\) | −9.79259e15 | −1.04935 | ||||||||
\(802\) | 9.46294e14 | − | 7.19905e15i | 0.100709 | − | 0.766154i | ||||
\(803\) | 7.63922e14 | + | 7.63922e14i | 0.0807446 | + | 0.0807446i | ||||
\(804\) | 7.81976e14 | − | 2.92309e15i | 0.0820890 | − | 0.306856i | ||||
\(805\) | −3.99055e15 | + | 3.99055e15i | −0.416059 | + | 0.416059i | ||||
\(806\) | −6.45038e14 | + | 4.95162e14i | −0.0667948 | + | 0.0512749i | ||||
\(807\) | − | 6.73725e15i | − | 0.692912i | ||||||
\(808\) | −3.84001e14 | − | 9.25473e14i | −0.0392256 | − | 0.0945369i | ||||
\(809\) | 1.18390e16i | 1.20115i | 0.799568 | + | 0.600576i | \(0.205062\pi\) | ||||
−0.799568 | + | 0.600576i | \(0.794938\pi\) | |||||||
\(810\) | −1.94991e15 | − | 2.54011e15i | −0.196493 | − | 0.255968i | ||||
\(811\) | −6.73923e14 | + | 6.73923e14i | −0.0674521 | + | 0.0674521i | −0.740028 | − | 0.672576i | \(-0.765188\pi\) |
0.672576 | + | 0.740028i | \(0.265188\pi\) | |||||||
\(812\) | 1.05071e16 | − | 6.07194e15i | 1.04454 | − | 0.603628i | ||||
\(813\) | −2.06401e14 | − | 2.06401e14i | −0.0203804 | − | 0.0203804i | ||||
\(814\) | −1.93073e15 | − | 2.53789e14i | −0.189360 | − | 0.0248908i | ||||
\(815\) | −5.64076e15 | −0.549504 | ||||||||
\(816\) | 1.86762e15 | + | 6.94761e15i | 0.180715 | + | 0.672264i | ||||
\(817\) | 4.47315e14 | 0.0429925 | ||||||||
\(818\) | −3.71844e15 | − | 4.88778e14i | −0.354991 | − | 0.0466625i | ||||
\(819\) | 5.81564e14 | + | 5.81564e14i | 0.0551488 | + | 0.0551488i | ||||
\(820\) | 4.89750e15 | + | 8.47482e15i | 0.461316 | + | 0.798278i | ||||
\(821\) | −8.52198e15 | + | 8.52198e15i | −0.797357 | + | 0.797357i | −0.982678 | − | 0.185321i | \(-0.940668\pi\) |
0.185321 | + | 0.982678i | \(0.440668\pi\) | |||||||
\(822\) | −4.42217e15 | − | 5.76068e15i | −0.410999 | − | 0.535401i | ||||
\(823\) | 1.25677e16i | 1.16027i | 0.814521 | + | 0.580134i | \(0.197000\pi\) | ||||
−0.814521 | + | 0.580134i | \(0.803000\pi\) | |||||||
\(824\) | −1.21840e16 | − | 5.03814e15i | −1.11735 | − | 0.462031i | ||||
\(825\) | − | 3.44113e14i | − | 0.0313476i | ||||||
\(826\) | −1.43977e16 | + | 1.10524e16i | −1.30288 | + | 1.00015i | ||||
\(827\) | 7.22965e15 | − | 7.22965e15i | 0.649886 | − | 0.649886i | −0.303080 | − | 0.952965i | \(-0.598015\pi\) |
0.952965 | + | 0.303080i | \(0.0980148\pi\) | |||||||
\(828\) | 7.44885e15 | + | 1.99269e15i | 0.665154 | + | 0.177940i | ||||
\(829\) | 6.78362e15 | + | 6.78362e15i | 0.601744 | + | 0.601744i | 0.940775 | − | 0.339031i | \(-0.110099\pi\) |
−0.339031 | + | 0.940775i | \(0.610099\pi\) | |||||||
\(830\) | −9.69538e14 | + | 7.37588e15i | −0.0854349 | + | 0.649957i | ||||
\(831\) | −6.98211e15 | −0.611197 | ||||||||
\(832\) | 1.61631e12 | + | 1.33407e15i | 0.000140555 | + | 0.116011i | ||||
\(833\) | 4.76146e15 | 0.411332 | ||||||||
\(834\) | 8.83265e14 | − | 6.71954e15i | 0.0758015 | − | 0.576669i | ||||
\(835\) | −2.14329e15 | − | 2.14329e15i | −0.182728 | − | 0.182728i | ||||
\(836\) | −1.92209e14 | − | 5.14189e13i | −0.0162794 | − | 0.00435500i | ||||
\(837\) | −5.02200e15 | + | 5.02200e15i | −0.422558 | + | 0.422558i | ||||
\(838\) | 3.74304e13 | − | 2.87333e13i | 0.00312883 | − | 0.00240184i | ||||
\(839\) | − | 2.46633e15i | − | 0.204814i | −0.994743 | − | 0.102407i | \(-0.967346\pi\) | ||
0.994743 | − | 0.102407i | \(-0.0326545\pi\) | |||||||
\(840\) | −3.47302e15 | − | 1.43611e15i | −0.286531 | − | 0.118482i | ||||
\(841\) | 1.21938e16i | 0.999449i | ||||||||
\(842\) | −1.14655e16 | − | 1.49359e16i | −0.933635 | − | 1.21623i | ||||
\(843\) | −3.92109e15 | + | 3.92109e15i | −0.317216 | + | 0.317216i | ||||
\(844\) | −4.78529e15 | − | 8.28063e15i | −0.384613 | − | 0.665549i | ||||
\(845\) | −6.89476e15 | − | 6.89476e15i | −0.550563 | − | 0.550563i | ||||
\(846\) | 1.20960e16 | + | 1.58998e15i | 0.959629 | + | 0.126140i | ||||
\(847\) | 1.04715e16 | 0.825375 | ||||||||
\(848\) | 4.72278e15 | − | 1.26955e15i | 0.369845 | − | 0.0994200i | ||||
\(849\) | 6.93467e15 | 0.539552 | ||||||||
\(850\) | −7.31205e15 | − | 9.61147e14i | −0.565243 | − | 0.0742995i | ||||
\(851\) | −8.51114e15 | − | 8.51114e15i | −0.653695 | − | 0.653695i | ||||
\(852\) | 9.96859e15 | − | 5.76074e15i | 0.760704 | − | 0.439603i | ||||
\(853\) | −5.10449e15 | + | 5.10449e15i | −0.387019 | + | 0.387019i | −0.873623 | − | 0.486604i | \(-0.838236\pi\) |
0.486604 | + | 0.873623i | \(0.338236\pi\) | |||||||
\(854\) | −9.53071e14 | − | 1.24155e15i | −0.0717971 | − | 0.0935287i | ||||
\(855\) | 7.75598e14i | 0.0580528i | ||||||||
\(856\) | 7.16720e15 | + | 1.72736e16i | 0.533020 | + | 1.28462i | ||||
\(857\) | 1.88606e16i | 1.39367i | 0.717230 | + | 0.696836i | \(0.245410\pi\) | ||||
−0.717230 | + | 0.696836i | \(0.754590\pi\) | |||||||
\(858\) | −1.04189e14 | + | 7.99803e13i | −0.00764963 | + | 0.00587222i | ||||
\(859\) | 9.36000e15 | − | 9.36000e15i | 0.682831 | − | 0.682831i | −0.277806 | − | 0.960637i | \(-0.589607\pi\) |
0.960637 | + | 0.277806i | \(0.0896072\pi\) | |||||||
\(860\) | 1.29591e15 | − | 4.84423e15i | 0.0939363 | − | 0.351142i | ||||
\(861\) | −4.50569e15 | − | 4.50569e15i | −0.324522 | − | 0.324522i | ||||
\(862\) | 6.70474e14 | − | 5.10071e15i | 0.0479835 | − | 0.365040i | ||||
\(863\) | −1.77662e16 | −1.26338 | −0.631690 | − | 0.775221i | \(-0.717639\pi\) | ||||
−0.631690 | + | 0.775221i | \(0.717639\pi\) | |||||||
\(864\) | 1.53250e15 | + | 1.15504e16i | 0.108287 | + | 0.816150i | ||||
\(865\) | 1.52526e16 | 1.07092 | ||||||||
\(866\) | 1.98259e15 | − | 1.50828e16i | 0.138320 | − | 1.05229i | ||||
\(867\) | 6.03756e15 | + | 6.03756e15i | 0.418559 | + | 0.418559i | ||||
\(868\) | 2.32318e15 | − | 8.68425e15i | 0.160038 | − | 0.598238i | ||||
\(869\) | 1.38784e12 | − | 1.38784e12i | 9.50015e−5 | − | 9.50015e-5i | ||||
\(870\) | 5.99262e15 | − | 4.60022e15i | 0.407625 | − | 0.312913i | ||||
\(871\) | − | 1.18398e15i | − | 0.0800286i | ||||||
\(872\) | 2.14751e16 | − | 8.91053e15i | 1.44243 | − | 0.598498i | ||||
\(873\) | 5.38586e15i | 0.359482i | ||||||||
\(874\) | −7.48865e14 | − | 9.75532e14i | −0.0496696 | − | 0.0647036i | ||||
\(875\) | 9.94820e15 | − | 9.94820e15i | 0.655693 | − | 0.655693i | ||||
\(876\) | −3.85025e15 | + | 2.22502e15i | −0.252184 | + | 0.145734i | ||||
\(877\) | 5.61984e14 | + | 5.61984e14i | 0.0365785 | + | 0.0365785i | 0.725159 | − | 0.688581i | \(-0.241766\pi\) |
−0.688581 | + | 0.725159i | \(0.741766\pi\) | |||||||
\(878\) | 5.21665e15 | + | 6.85713e14i | 0.337421 | + | 0.0443529i | ||||
\(879\) | 3.28867e15 | 0.211389 | ||||||||
\(880\) | −1.11369e15 | + | 1.93257e15i | −0.0711392 | + | 0.123447i | ||||
\(881\) | 9.89236e15 | 0.627961 | 0.313980 | − | 0.949430i | \(-0.398337\pi\) | ||||
0.313980 | + | 0.949430i | \(0.398337\pi\) | |||||||
\(882\) | 3.36952e15 | + | 4.42914e14i | 0.212565 | + | 0.0279410i | ||||
\(883\) | −1.07380e16 | − | 1.07380e16i | −0.673196 | − | 0.673196i | 0.285256 | − | 0.958451i | \(-0.407921\pi\) |
−0.958451 | + | 0.285256i | \(0.907921\pi\) | |||||||
\(884\) | 1.40849e15 | + | 2.43730e15i | 0.0877537 | + | 0.151852i | ||||
\(885\) | −7.98993e15 | + | 7.98993e15i | −0.494715 | + | 0.494715i | ||||
\(886\) | −6.96304e15 | − | 9.07062e15i | −0.428463 | − | 0.558151i | ||||
\(887\) | 9.63733e15i | 0.589355i | 0.955597 | + | 0.294678i | \(0.0952122\pi\) | ||||
−0.955597 | + | 0.294678i | \(0.904788\pi\) | |||||||
\(888\) | 3.06297e15 | − | 7.40735e15i | 0.186154 | − | 0.450186i | ||||
\(889\) | − | 7.79876e15i | − | 0.471049i | ||||||
\(890\) | 1.38887e16 | − | 1.06616e16i | 0.833712 | − | 0.639997i | ||||
\(891\) | 8.74847e14 | − | 8.74847e14i | 0.0521921 | − | 0.0521921i | ||||
\(892\) | −2.41397e16 | − | 6.45777e15i | −1.43128 | − | 0.382892i | ||||
\(893\) | −1.37591e15 | − | 1.37591e15i | −0.0810786 | − | 0.0810786i | ||||
\(894\) | −4.14469e14 | + | 3.15313e15i | −0.0242737 | + | 0.184665i | ||||
\(895\) | 1.88538e16 | 1.09742 | ||||||||
\(896\) | −8.99458e15 | − | 1.16877e16i | −0.520340 | − | 0.676139i | ||||
\(897\) | −8.11861e14 | −0.0466792 | ||||||||
\(898\) | −4.16966e15 | + | 3.17212e16i | −0.238276 | + | 1.81272i | ||||
\(899\) | 1.27779e16 | + | 1.27779e16i | 0.725742 | + | 0.725742i | ||||
\(900\) | −5.08508e15 | − | 1.36034e15i | −0.287054 | − | 0.0767917i | ||||
\(901\) | 7.29680e15 | − | 7.29680e15i | 0.409398 | − | 0.409398i | ||||
\(902\) | −2.99981e15 | + | 2.30280e15i | −0.167285 | + | 0.128416i | ||||
\(903\) | 3.26444e15i | 0.180936i | ||||||||
\(904\) | −9.34153e15 | + | 2.25911e16i | −0.514626 | + | 1.24455i | ||||
\(905\) | − | 2.70743e16i | − | 1.48249i | ||||||
\(906\) | 8.83400e15 | + | 1.15079e16i | 0.480786 | + | 0.626311i | ||||
\(907\) | −3.59486e15 | + | 3.59486e15i | −0.194465 | + | 0.194465i | −0.797622 | − | 0.603157i | \(-0.793909\pi\) |
0.603157 | + | 0.797622i | \(0.293909\pi\) | |||||||
\(908\) | 6.44786e15 | + | 1.11576e16i | 0.346692 | + | 0.599928i | ||||
\(909\) | −1.06706e15 | − | 1.06706e15i | −0.0570281 | − | 0.0570281i | ||||
\(910\) | −1.45800e15 | − | 1.91649e14i | −0.0774513 | − | 0.0101808i | ||||
\(911\) | −1.25477e16 | −0.662540 | −0.331270 | − | 0.943536i | \(-0.607477\pi\) | ||||
−0.331270 | + | 0.943536i | \(0.607477\pi\) | |||||||
\(912\) | 4.08921e14 | − | 7.09596e14i | 0.0214619 | − | 0.0372426i | ||||
\(913\) | −2.87427e15 | −0.149947 | ||||||||
\(914\) | 6.55233e14 | + | 8.61285e13i | 0.0339775 | + | 0.00446625i | ||||
\(915\) | −6.88989e14 | − | 6.88989e14i | −0.0355137 | − | 0.0355137i | ||||
\(916\) | −5.89966e14 | + | 3.40935e14i | −0.0302275 | + | 0.0174681i | ||||
\(917\) | 1.59497e16 | − | 1.59497e16i | 0.812311 | − | 0.812311i | ||||
\(918\) | 1.49708e16 | + | 1.95022e16i | 0.757899 | + | 0.987301i | ||||
\(919\) | 5.50344e15i | 0.276949i | 0.990366 | + | 0.138474i | \(0.0442198\pi\) | ||||
−0.990366 | + | 0.138474i | \(0.955780\pi\) | |||||||
\(920\) | −1.27341e16 | + | 5.28368e15i | −0.636994 | + | 0.264304i | ||||
\(921\) | 9.76203e15i | 0.485414i | ||||||||
\(922\) | −4.65397e15 | + | 3.57261e15i | −0.230040 | + | 0.176590i | ||||
\(923\) | 3.18554e15 | − | 3.18554e15i | 0.156521 | − | 0.156521i | ||||
\(924\) | 3.75248e14 | − | 1.40271e15i | 0.0183283 | − | 0.0685128i | ||||
\(925\) | 5.81027e15 | + | 5.81027e15i | 0.282109 | + | 0.282109i | ||||
\(926\) | −1.43438e15 | + | 1.09122e16i | −0.0692317 | + | 0.526688i | ||||
\(927\) | −1.98570e16 | −0.952744 | ||||||||
\(928\) | 2.93886e16 | − | 3.89928e15i | 1.40173 | − | 0.185982i | ||||
\(929\) | −8.00447e15 | −0.379530 | −0.189765 | − | 0.981830i | \(-0.560773\pi\) | ||||
−0.189765 | + | 0.981830i | \(0.560773\pi\) | |||||||
\(930\) | 7.29350e14 | − | 5.54862e15i | 0.0343779 | − | 0.261534i | ||||
\(931\) | −3.83281e14 | − | 3.83281e14i | −0.0179595 | − | 0.0179595i | ||||
\(932\) | 1.03585e15 | − | 3.87212e15i | 0.0482515 | − | 0.180369i | ||||
\(933\) | 8.01710e14 | − | 8.01710e14i | 0.0371252 | − | 0.0371252i | ||||
\(934\) | −3.62925e15 | + | 2.78599e15i | −0.167074 | + | 0.128254i | ||||
\(935\) | 4.70654e15i | 0.215396i | ||||||||
\(936\) | 7.70020e14 | + | 1.85581e15i | 0.0350336 | + | 0.0844339i | ||||
\(937\) | − | 2.07607e16i | − | 0.939017i | −0.882928 | − | 0.469509i | \(-0.844431\pi\) | ||
0.882928 | − | 0.469509i | \(-0.155569\pi\) | |||||||
\(938\) | 7.97007e15 | + | 1.03825e16i | 0.358382 | + | 0.466858i | ||||
\(939\) | −9.83940e14 | + | 9.83940e14i | −0.0439853 | + | 0.0439853i | ||||
\(940\) | −1.88866e16 | + | 1.09144e16i | −0.839364 | + | 0.485059i | ||||
\(941\) | −2.43338e16 | − | 2.43338e16i | −1.07514 | − | 1.07514i | −0.996937 | − | 0.0782075i | \(-0.975080\pi\) |
−0.0782075 | − | 0.996937i | \(-0.524920\pi\) | |||||||
\(942\) | −4.77324e15 | − | 6.27428e14i | −0.209668 | − | 0.0275603i | ||||
\(943\) | −2.33752e16 | −1.02080 | ||||||||
\(944\) | −4.28212e16 | + | 1.15110e16i | −1.85914 | + | 0.499766i | ||||
\(945\) | −1.28435e16 | −0.554380 | ||||||||
\(946\) | 1.92091e15 | + | 2.52498e14i | 0.0824340 | + | 0.0108357i | ||||
\(947\) | −1.37491e16 | − | 1.37491e16i | −0.586609 | − | 0.586609i | 0.350103 | − | 0.936711i | \(-0.386147\pi\) |
−0.936711 | + | 0.350103i | \(0.886147\pi\) | |||||||
\(948\) | 4.04226e12 | + | 6.99487e12i | 0.000171466 | + | 0.000296711i | ||||
\(949\) | −1.23038e15 | + | 1.23038e15i | −0.0518889 | + | 0.0518889i | ||||
\(950\) | 5.11225e14 | + | 6.65963e14i | 0.0214354 | + | 0.0279235i | ||||
\(951\) | 4.83568e15i | 0.201588i | ||||||||
\(952\) | −2.87580e16 | − | 1.18916e16i | −1.19194 | − | 0.492873i | ||||
\(953\) | − | 3.61839e16i | − | 1.49109i | −0.666454 | − | 0.745546i | \(-0.732189\pi\) | ||
0.666454 | − | 0.745546i | \(-0.267811\pi\) | |||||||
\(954\) | 5.84245e15 | − | 4.48494e15i | 0.239375 | − | 0.183756i | ||||
\(955\) | −5.56569e15 | + | 5.56569e15i | −0.226726 | + | 0.226726i | ||||
\(956\) | 3.08250e16 | + | 8.24619e15i | 1.24849 | + | 0.333991i | ||||
\(957\) | 2.06393e15 | + | 2.06393e15i | 0.0831152 | + | 0.0831152i | ||||
\(958\) | 1.62079e15 | − | 1.23304e16i | 0.0648959 | − | 0.493704i | ||||
\(959\) | 3.14140e16 | 1.25061 | ||||||||
\(960\) | −6.49993e15 | − | 6.48420e15i | −0.257286 | − | 0.256664i | ||||
\(961\) | −1.20221e16 | −0.473153 | ||||||||
\(962\) | 4.08755e14 | − | 3.10965e15i | 0.0159956 | − | 0.121688i | ||||
\(963\) | 1.99163e16 | + | 1.99163e16i | 0.774932 | + | 0.774932i | ||||
\(964\) | −2.96317e16 | − | 7.92697e15i | −1.14639 | − | 0.306679i | ||||
\(965\) | 1.06565e16 | − | 1.06565e16i | 0.409933 | − | 0.409933i | ||||
\(966\) | 7.11929e15 | − | 5.46510e15i | 0.272309 | − | 0.209038i | ||||
\(967\) | − | 1.91870e16i | − | 0.729731i | −0.931060 | − | 0.364865i | \(-0.881115\pi\) | ||
0.931060 | − | 0.364865i | \(-0.118885\pi\) | |||||||
\(968\) | 2.36401e16 | + | 9.77528e15i | 0.893995 | + | 0.369670i | ||||
\(969\) | − | 1.72814e15i | − | 0.0649826i | ||||||
\(970\) | −5.86382e15 | − | 7.63868e15i | −0.219248 | − | 0.285610i | ||||
\(971\) | −2.73115e16 | + | 2.73115e16i | −1.01541 | + | 1.01541i | −0.0155257 | + | 0.999879i | \(0.504942\pi\) |
−0.999879 | + | 0.0155257i | \(0.995058\pi\) | |||||||
\(972\) | 1.36910e16 | + | 2.36914e16i | 0.506140 | + | 0.875843i | ||||
\(973\) | 2.07297e16 | + | 2.07297e16i | 0.762031 | + | 0.762031i | ||||
\(974\) | −2.12723e16 | − | 2.79618e15i | −0.777571 | − | 0.102209i | ||||
\(975\) | 5.54230e14 | 0.0201449 | ||||||||
\(976\) | −9.92618e14 | − | 3.69257e15i | −0.0358763 | − | 0.133461i | ||||
\(977\) | −3.28279e16 | −1.17984 | −0.589919 | − | 0.807462i | \(-0.700840\pi\) | ||||
−0.589919 | + | 0.807462i | \(0.700840\pi\) | |||||||
\(978\) | 8.89420e15 | + | 1.16912e15i | 0.317865 | + | 0.0417825i | ||||
\(979\) | 4.78344e15 | + | 4.78344e15i | 0.169995 | + | 0.169995i | ||||
\(980\) | −5.26116e15 | + | 3.04037e15i | −0.185925 | + | 0.107444i | ||||
\(981\) | 2.47607e16 | − | 2.47607e16i | 0.870128 | − | 0.870128i | ||||
\(982\) | 1.30431e16 | + | 1.69910e16i | 0.455793 | + | 0.593752i | ||||
\(983\) | − | 6.37843e15i | − | 0.221651i | −0.993840 | − | 0.110825i | \(-0.964651\pi\) | ||
0.993840 | − | 0.110825i | \(-0.0353494\pi\) | |||||||
\(984\) | −5.96575e15 | − | 1.43780e16i | −0.206154 | − | 0.496849i | ||||
\(985\) | 5.38389e15i | 0.185011i | ||||||||
\(986\) | 4.96213e16 | − | 3.80917e16i | 1.69568 | − | 1.30169i | ||||
\(987\) | 1.00412e16 | − | 1.00412e16i | 0.341224 | − | 0.341224i | ||||
\(988\) | 8.28156e13 | − | 3.09572e14i | 0.00279865 | − | 0.0104616i | ||||
\(989\) | 8.46784e15 | + | 8.46784e15i | 0.284573 | + | 0.284573i | ||||
\(990\) | −4.37805e14 | + | 3.33066e15i | −0.0146315 | + | 0.111311i | ||||
\(991\) | 4.94195e16 | 1.64245 | 0.821227 | − | 0.570602i | \(-0.193290\pi\) | ||||
0.821227 | + | 0.570602i | \(0.193290\pi\) | |||||||
\(992\) | 1.33515e16 | − | 1.74365e16i | 0.441283 | − | 0.576295i | ||||
\(993\) | −1.04766e16 | −0.344348 | ||||||||
\(994\) | −6.49059e15 | + | 4.93779e16i | −0.212158 | + | 1.61402i | ||||
\(995\) | 2.47804e16 | + | 2.47804e16i | 0.805528 | + | 0.805528i | ||||
\(996\) | 3.05749e15 | − | 1.14292e16i | 0.0988413 | − | 0.369477i | ||||
\(997\) | −9.89761e15 | + | 9.89761e15i | −0.318205 | + | 0.318205i | −0.848077 | − | 0.529872i | \(-0.822240\pi\) |
0.529872 | + | 0.848077i | \(0.322240\pi\) | |||||||
\(998\) | 1.52519e16 | − | 1.17081e16i | 0.487647 | − | 0.374341i | ||||
\(999\) | − | 2.73929e16i | − | 0.871018i |
(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 | 16.12.e.a.13.10 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.9 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.13 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.9 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.13 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.10 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.9 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.9 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.10 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.10 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.9 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.9 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.13 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.13 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.9 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.9 | 42 | 16.13 | even | 4 |