Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,16,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), 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: | \(19.9770907140\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7979102 x^{8} - 3342530557 x^{7} + 48610066963550 x^{6} + \cdots + 51\!\cdots\!56 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{18}\cdot 3^{3}\cdot 5^{4}\cdot 7^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(1086.67 + 1882.17i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.16.c.b.9.2 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 64.0000 | + | 110.851i | 0.353553 | + | 0.612372i | ||||
\(3\) | −1325.39 | + | 2295.64i | −0.349892 | + | 0.606031i | −0.986230 | − | 0.165380i | \(-0.947115\pi\) |
0.636338 | + | 0.771410i | \(0.280448\pi\) | |||||||
\(4\) | −8192.00 | + | 14189.0i | −0.250000 | + | 0.433013i | ||||
\(5\) | 56213.5 | + | 97364.6i | 0.321785 | + | 0.557347i | 0.980856 | − | 0.194733i | \(-0.0623840\pi\) |
−0.659072 | + | 0.752080i | \(0.729051\pi\) | |||||||
\(6\) | −339300. | −0.494822 | ||||||||
\(7\) | 875396. | + | 1.99531e6i | 0.401762 | + | 0.915744i | ||||
\(8\) | −2.09715e6 | −0.353553 | ||||||||
\(9\) | 3.66114e6 | + | 6.34128e6i | 0.255151 | + | 0.441935i | ||||
\(10\) | −7.19532e6 | + | 1.24627e7i | −0.227536 | + | 0.394104i | ||||
\(11\) | −8.67876e6 | + | 1.50321e7i | −0.134280 | + | 0.232580i | −0.925322 | − | 0.379181i | \(-0.876206\pi\) |
0.791042 | + | 0.611762i | \(0.209539\pi\) | |||||||
\(12\) | −2.17152e7 | − | 3.76118e7i | −0.174946 | − | 0.303015i | ||||
\(13\) | −1.47156e8 | −0.650434 | −0.325217 | − | 0.945639i | \(-0.605437\pi\) | ||||
−0.325217 | + | 0.945639i | \(0.605437\pi\) | |||||||
\(14\) | −1.65157e8 | + | 2.24738e8i | −0.418732 | + | 0.569793i | ||||
\(15\) | −2.98019e8 | −0.450359 | ||||||||
\(16\) | −1.34218e8 | − | 2.32472e8i | −0.125000 | − | 0.216506i | ||||
\(17\) | 4.40441e8 | − | 7.62866e8i | 0.260328 | − | 0.450901i | −0.706001 | − | 0.708211i | \(-0.749503\pi\) |
0.966329 | + | 0.257309i | \(0.0828360\pi\) | |||||||
\(18\) | −4.68626e8 | + | 8.11684e8i | −0.180419 | + | 0.312495i | ||||
\(19\) | −5.31595e8 | − | 9.20749e8i | −0.136436 | − | 0.236314i | 0.789709 | − | 0.613481i | \(-0.210231\pi\) |
−0.926145 | + | 0.377168i | \(0.876898\pi\) | |||||||
\(20\) | −1.84200e9 | −0.321785 | ||||||||
\(21\) | −5.74075e9 | − | 6.34961e8i | −0.695542 | − | 0.0769311i | ||||
\(22\) | −2.22176e9 | −0.189901 | ||||||||
\(23\) | −3.90880e9 | − | 6.77025e9i | −0.239379 | − | 0.414616i | 0.721158 | − | 0.692771i | \(-0.243610\pi\) |
−0.960536 | + | 0.278155i | \(0.910277\pi\) | |||||||
\(24\) | 2.77954e9 | − | 4.81431e9i | 0.123706 | − | 0.214264i | ||||
\(25\) | 8.93888e9 | − | 1.54826e10i | 0.292909 | − | 0.507334i | ||||
\(26\) | −9.41799e9 | − | 1.63124e10i | −0.229963 | − | 0.398308i | ||||
\(27\) | −5.74455e10 | −1.05689 | ||||||||
\(28\) | −3.54826e10 | − | 3.92458e9i | −0.496969 | − | 0.0549678i | ||||
\(29\) | −1.50600e11 | −1.62121 | −0.810604 | − | 0.585595i | \(-0.800861\pi\) | ||||
−0.810604 | + | 0.585595i | \(0.800861\pi\) | |||||||
\(30\) | −1.90732e10 | − | 3.30358e10i | −0.159226 | − | 0.275788i | ||||
\(31\) | −3.78211e10 | + | 6.55081e10i | −0.246900 | + | 0.427644i | −0.962664 | − | 0.270698i | \(-0.912745\pi\) |
0.715764 | + | 0.698342i | \(0.246079\pi\) | |||||||
\(32\) | 1.71799e10 | − | 2.97564e10i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −2.30055e10 | − | 3.98466e10i | −0.0939672 | − | 0.162756i | ||||
\(34\) | 1.12753e11 | 0.368159 | ||||||||
\(35\) | −1.45063e11 | + | 1.97396e11i | −0.381106 | + | 0.518594i | ||||
\(36\) | −1.19968e11 | −0.255151 | ||||||||
\(37\) | 1.65066e11 | + | 2.85902e11i | 0.285854 | + | 0.495113i | 0.972816 | − | 0.231580i | \(-0.0743895\pi\) |
−0.686962 | + | 0.726693i | \(0.741056\pi\) | |||||||
\(38\) | 6.80441e10 | − | 1.17856e11i | 0.0964747 | − | 0.167099i | ||||
\(39\) | 1.95039e11 | − | 3.37818e11i | 0.227582 | − | 0.394183i | ||||
\(40\) | −1.17888e11 | − | 2.04188e11i | −0.113768 | − | 0.197052i | ||||
\(41\) | 1.73261e12 | 1.38938 | 0.694692 | − | 0.719307i | \(-0.255541\pi\) | ||||
0.694692 | + | 0.719307i | \(0.255541\pi\) | |||||||
\(42\) | −2.97022e11 | − | 6.77006e11i | −0.198801 | − | 0.453130i | ||||
\(43\) | 2.25167e12 | 1.26325 | 0.631627 | − | 0.775273i | \(-0.282388\pi\) | ||||
0.631627 | + | 0.775273i | \(0.282388\pi\) | |||||||
\(44\) | −1.42193e11 | − | 2.46285e11i | −0.0671402 | − | 0.116290i | ||||
\(45\) | −4.11611e11 | + | 7.12931e11i | −0.164207 | + | 0.284416i | ||||
\(46\) | 5.00327e11 | − | 8.66592e11i | 0.169266 | − | 0.293178i | ||||
\(47\) | 2.29306e12 | + | 3.97171e12i | 0.660210 | + | 1.14352i | 0.980560 | + | 0.196219i | \(0.0628663\pi\) |
−0.320350 | + | 0.947299i | \(0.603800\pi\) | |||||||
\(48\) | 7.11563e11 | 0.174946 | ||||||||
\(49\) | −3.21492e12 | + | 3.49336e12i | −0.677174 | + | 0.735823i | ||||
\(50\) | 2.28835e12 | 0.414236 | ||||||||
\(51\) | 1.16751e12 | + | 2.02219e12i | 0.182173 | + | 0.315534i | ||||
\(52\) | 1.20550e12 | − | 2.08799e12i | 0.162608 | − | 0.281646i | ||||
\(53\) | −4.14674e12 | + | 7.18236e12i | −0.484884 | + | 0.839844i | −0.999849 | − | 0.0173675i | \(-0.994471\pi\) |
0.514965 | + | 0.857211i | \(0.327805\pi\) | |||||||
\(54\) | −3.67651e12 | − | 6.36791e12i | −0.373665 | − | 0.647208i | ||||
\(55\) | −1.95145e12 | −0.172837 | ||||||||
\(56\) | −1.83584e12 | − | 4.18446e12i | −0.142044 | − | 0.323764i | ||||
\(57\) | 2.81828e12 | 0.190951 | ||||||||
\(58\) | −9.63837e12 | − | 1.66941e13i | −0.573183 | − | 0.992783i | ||||
\(59\) | 2.16425e12 | − | 3.74859e12i | 0.113218 | − | 0.196100i | −0.803848 | − | 0.594835i | \(-0.797217\pi\) |
0.917066 | + | 0.398735i | \(0.130551\pi\) | |||||||
\(60\) | 2.44137e12 | − | 4.22858e12i | 0.112590 | − | 0.195011i | ||||
\(61\) | −7.31929e12 | − | 1.26774e13i | −0.298192 | − | 0.516483i | 0.677531 | − | 0.735495i | \(-0.263050\pi\) |
−0.975722 | + | 0.219011i | \(0.929717\pi\) | |||||||
\(62\) | −9.68221e12 | −0.349170 | ||||||||
\(63\) | −9.44784e12 | + | 1.28562e13i | −0.302189 | + | 0.411206i | ||||
\(64\) | 4.39805e12 | 0.125000 | ||||||||
\(65\) | −8.27215e12 | − | 1.43278e13i | −0.209300 | − | 0.362518i | ||||
\(66\) | 2.94470e12 | − | 5.10037e12i | 0.0664449 | − | 0.115086i | ||||
\(67\) | −3.20477e13 | + | 5.55082e13i | −0.646004 | + | 1.11891i | 0.338064 | + | 0.941123i | \(0.390228\pi\) |
−0.984069 | + | 0.177789i | \(0.943105\pi\) | |||||||
\(68\) | 7.21619e12 | + | 1.24988e13i | 0.130164 | + | 0.225451i | ||||
\(69\) | 2.07227e13 | 0.335027 | ||||||||
\(70\) | −3.11656e13 | − | 3.44710e12i | −0.452314 | − | 0.0500286i | ||||
\(71\) | −3.29232e13 | −0.429600 | −0.214800 | − | 0.976658i | \(-0.568910\pi\) | ||||
−0.214800 | + | 0.976658i | \(0.568910\pi\) | |||||||
\(72\) | −7.67797e12 | − | 1.32986e13i | −0.0902096 | − | 0.156248i | ||||
\(73\) | 6.70692e13 | − | 1.16167e14i | 0.710562 | − | 1.23073i | −0.254085 | − | 0.967182i | \(-0.581774\pi\) |
0.964646 | − | 0.263547i | \(-0.0848925\pi\) | |||||||
\(74\) | −2.11284e13 | + | 3.65955e13i | −0.202129 | + | 0.350098i | ||||
\(75\) | 2.36950e13 | + | 4.10409e13i | 0.204973 | + | 0.355024i | ||||
\(76\) | 1.74193e13 | 0.136436 | ||||||||
\(77\) | −3.75909e13 | − | 4.15777e12i | −0.266933 | − | 0.0295244i | ||||
\(78\) | 4.99300e13 | 0.321849 | ||||||||
\(79\) | 9.06672e13 | + | 1.57040e14i | 0.531187 | + | 0.920042i | 0.999338 | + | 0.0363938i | \(0.0115871\pi\) |
−0.468151 | + | 0.883649i | \(0.655080\pi\) | |||||||
\(80\) | 1.50897e13 | − | 2.61361e13i | 0.0804462 | − | 0.139337i | ||||
\(81\) | 2.36043e13 | − | 4.08839e13i | 0.114645 | − | 0.198570i | ||||
\(82\) | 1.10887e14 | + | 1.92062e14i | 0.491221 | + | 0.850820i | ||||
\(83\) | 5.42515e13 | 0.219445 | 0.109723 | − | 0.993962i | \(-0.465004\pi\) | ||||
0.109723 | + | 0.993962i | \(0.465004\pi\) | |||||||
\(84\) | 5.60376e13 | − | 7.62536e13i | 0.207198 | − | 0.281946i | ||||
\(85\) | 9.90349e13 | 0.335078 | ||||||||
\(86\) | 1.44107e14 | + | 2.49600e14i | 0.446628 | + | 0.773582i | ||||
\(87\) | 1.99603e14 | − | 3.45723e14i | 0.567248 | − | 0.982502i | ||||
\(88\) | 1.82007e13 | − | 3.15245e13i | 0.0474753 | − | 0.0822296i | ||||
\(89\) | 1.39254e13 | + | 2.41195e13i | 0.0333720 | + | 0.0578020i | 0.882229 | − | 0.470820i | \(-0.156042\pi\) |
−0.848857 | + | 0.528623i | \(0.822709\pi\) | |||||||
\(90\) | −1.05372e14 | −0.232224 | ||||||||
\(91\) | −1.28820e14 | − | 2.93621e14i | −0.261320 | − | 0.595631i | ||||
\(92\) | 1.28084e14 | 0.239379 | ||||||||
\(93\) | −1.00255e14 | − | 1.73647e14i | −0.172777 | − | 0.299258i | ||||
\(94\) | −2.93512e14 | + | 5.08378e14i | −0.466839 | + | 0.808589i | ||||
\(95\) | 5.97655e13 | − | 1.03517e14i | 0.0878059 | − | 0.152084i | ||||
\(96\) | 4.55400e13 | + | 7.88776e13i | 0.0618528 | + | 0.107132i | ||||
\(97\) | −1.18440e15 | −1.48836 | −0.744182 | − | 0.667977i | \(-0.767161\pi\) | ||||
−0.744182 | + | 0.667977i | \(0.767161\pi\) | |||||||
\(98\) | −5.92999e14 | − | 1.32803e14i | −0.690015 | − | 0.154530i | ||||
\(99\) | −1.27097e14 | −0.137047 | ||||||||
\(100\) | 1.46455e14 | + | 2.53667e14i | 0.146455 | + | 0.253667i | ||||
\(101\) | 3.31820e13 | − | 5.74729e13i | 0.0307958 | − | 0.0533399i | −0.850217 | − | 0.526433i | \(-0.823529\pi\) |
0.881013 | + | 0.473093i | \(0.156863\pi\) | |||||||
\(102\) | −1.49441e14 | + | 2.58840e14i | −0.128816 | + | 0.223116i | ||||
\(103\) | −8.80878e14 | − | 1.52573e15i | −0.705727 | − | 1.22235i | −0.966429 | − | 0.256935i | \(-0.917287\pi\) |
0.260702 | − | 0.965419i | \(-0.416046\pi\) | |||||||
\(104\) | 3.08609e14 | 0.229963 | ||||||||
\(105\) | −2.60885e14 | − | 5.94639e14i | −0.180938 | − | 0.412414i | ||||
\(106\) | −1.06157e15 | −0.685729 | ||||||||
\(107\) | 1.09468e15 | + | 1.89604e15i | 0.659036 | + | 1.14148i | 0.980866 | + | 0.194686i | \(0.0623687\pi\) |
−0.321830 | + | 0.946797i | \(0.604298\pi\) | |||||||
\(108\) | 4.70594e14 | − | 8.15092e14i | 0.264221 | − | 0.457645i | ||||
\(109\) | −8.69567e14 | + | 1.50613e15i | −0.455622 | + | 0.789160i | −0.998724 | − | 0.0505068i | \(-0.983916\pi\) |
0.543102 | + | 0.839667i | \(0.317250\pi\) | |||||||
\(110\) | −1.24893e14 | − | 2.16321e14i | −0.0611073 | − | 0.105841i | ||||
\(111\) | −8.75105e14 | −0.400072 | ||||||||
\(112\) | 3.46359e14 | − | 4.71310e14i | 0.148044 | − | 0.201452i | ||||
\(113\) | 2.44997e15 | 0.979652 | 0.489826 | − | 0.871820i | \(-0.337060\pi\) | ||||
0.489826 | + | 0.871820i | \(0.337060\pi\) | |||||||
\(114\) | 1.80370e14 | + | 3.12410e14i | 0.0675115 | + | 0.116933i | ||||
\(115\) | 4.39455e14 | − | 7.61158e14i | 0.154057 | − | 0.266834i | ||||
\(116\) | 1.23371e15 | − | 2.13685e15i | 0.405302 | − | 0.702003i | ||||
\(117\) | −5.38759e14 | − | 9.33158e14i | −0.165959 | − | 0.287449i | ||||
\(118\) | 5.54048e14 | 0.160115 | ||||||||
\(119\) | 1.90771e15 | + | 2.11004e14i | 0.517500 | + | 0.0572386i | ||||
\(120\) | 6.24991e14 | 0.159226 | ||||||||
\(121\) | 1.93798e15 | + | 3.35668e15i | 0.463938 | + | 0.803563i | ||||
\(122\) | 9.36870e14 | − | 1.62271e15i | 0.210853 | − | 0.365209i | ||||
\(123\) | −2.29638e15 | + | 3.97745e15i | −0.486134 | + | 0.842009i | ||||
\(124\) | −6.19661e14 | − | 1.07328e15i | −0.123450 | − | 0.213822i | ||||
\(125\) | 5.44094e15 | 1.02058 | ||||||||
\(126\) | −2.02979e15 | − | 2.24507e14i | −0.358651 | − | 0.0396689i | ||||
\(127\) | 2.37860e15 | 0.396089 | 0.198044 | − | 0.980193i | \(-0.436541\pi\) | ||||
0.198044 | + | 0.980193i | \(0.436541\pi\) | |||||||
\(128\) | 2.81475e14 | + | 4.87529e14i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.98433e15 | + | 5.16902e15i | −0.442002 | + | 0.765571i | ||||
\(130\) | 1.05884e15 | − | 1.83396e15i | 0.147997 | − | 0.256339i | ||||
\(131\) | 2.37224e15 | + | 4.10883e15i | 0.313057 | + | 0.542230i | 0.979023 | − | 0.203752i | \(-0.0653136\pi\) |
−0.665966 | + | 0.745982i | \(0.731980\pi\) | |||||||
\(132\) | 7.53843e14 | 0.0939672 | ||||||||
\(133\) | 1.37182e15 | − | 1.86671e15i | 0.161588 | − | 0.219882i | ||||
\(134\) | −8.20420e15 | −0.913588 | ||||||||
\(135\) | −3.22921e15 | − | 5.59316e15i | −0.340089 | − | 0.589052i | ||||
\(136\) | −9.23672e14 | + | 1.59985e15i | −0.0920398 | + | 0.159418i | ||||
\(137\) | −4.37677e15 | + | 7.58079e15i | −0.412810 | + | 0.715007i | −0.995196 | − | 0.0979051i | \(-0.968786\pi\) |
0.582386 | + | 0.812912i | \(0.302119\pi\) | |||||||
\(138\) | 1.32626e15 | + | 2.29714e15i | 0.118450 | + | 0.205161i | ||||
\(139\) | 1.33549e16 | 1.12987 | 0.564935 | − | 0.825136i | \(-0.308901\pi\) | ||||
0.564935 | + | 0.825136i | \(0.308901\pi\) | |||||||
\(140\) | −1.61248e15 | − | 3.67536e15i | −0.129281 | − | 0.294672i | ||||
\(141\) | −1.21568e16 | −0.924010 | ||||||||
\(142\) | −2.10708e15 | − | 3.64957e15i | −0.151886 | − | 0.263075i | ||||
\(143\) | 1.27713e15 | − | 2.21206e15i | 0.0873405 | − | 0.151278i | ||||
\(144\) | 9.82780e14 | − | 1.70222e15i | 0.0637878 | − | 0.110484i | ||||
\(145\) | −8.46572e15 | − | 1.46631e16i | −0.521680 | − | 0.903576i | ||||
\(146\) | 1.71697e16 | 1.00489 | ||||||||
\(147\) | −3.75849e15 | − | 1.20104e16i | −0.208994 | − | 0.667847i | ||||
\(148\) | −5.40887e15 | −0.285854 | ||||||||
\(149\) | −1.47064e16 | − | 2.54722e16i | −0.738939 | − | 1.27988i | −0.952974 | − | 0.303053i | \(-0.901994\pi\) |
0.214035 | − | 0.976826i | \(-0.431339\pi\) | |||||||
\(150\) | −3.03296e15 | + | 5.25324e15i | −0.144938 | + | 0.251040i | ||||
\(151\) | −1.03931e16 | + | 1.80013e16i | −0.472515 | + | 0.818421i | −0.999505 | − | 0.0314509i | \(-0.989987\pi\) |
0.526990 | + | 0.849872i | \(0.323321\pi\) | |||||||
\(152\) | 1.11483e15 | + | 1.93095e15i | 0.0482374 | + | 0.0835495i | ||||
\(153\) | 6.45007e15 | 0.265692 | ||||||||
\(154\) | −1.94492e15 | − | 4.43309e15i | −0.0762951 | − | 0.173901i | ||||
\(155\) | −8.50422e15 | −0.317795 | ||||||||
\(156\) | 3.19552e15 | + | 5.53480e15i | 0.113791 | + | 0.197091i | ||||
\(157\) | −9.85935e15 | + | 1.70769e16i | −0.334658 | + | 0.579645i | −0.983419 | − | 0.181348i | \(-0.941954\pi\) |
0.648761 | + | 0.760992i | \(0.275287\pi\) | |||||||
\(158\) | −1.16054e16 | + | 2.01012e16i | −0.375606 | + | 0.650568i | ||||
\(159\) | −1.09921e16 | − | 1.90389e16i | −0.339314 | − | 0.587709i | ||||
\(160\) | 3.86296e15 | 0.113768 | ||||||||
\(161\) | 1.00870e16 | − | 1.37259e16i | 0.283509 | − | 0.385786i | ||||
\(162\) | 6.04270e15 | 0.162132 | ||||||||
\(163\) | 2.29458e16 | + | 3.97433e16i | 0.587891 | + | 1.01826i | 0.994508 | + | 0.104658i | \(0.0333748\pi\) |
−0.406618 | + | 0.913598i | \(0.633292\pi\) | |||||||
\(164\) | −1.41936e16 | + | 2.45840e16i | −0.347346 | + | 0.601621i | ||||
\(165\) | 2.58643e15 | − | 4.47984e15i | 0.0604744 | − | 0.104745i | ||||
\(166\) | 3.47209e15 | + | 6.01384e15i | 0.0775855 | + | 0.134382i | ||||
\(167\) | 8.81501e16 | 1.88299 | 0.941497 | − | 0.337020i | \(-0.109419\pi\) | ||||
0.941497 | + | 0.337020i | \(0.109419\pi\) | |||||||
\(168\) | 1.20392e16 | + | 1.33161e15i | 0.245911 | + | 0.0271993i | ||||
\(169\) | −2.95310e16 | −0.576936 | ||||||||
\(170\) | 6.33823e15 | + | 1.09781e16i | 0.118468 | + | 0.205193i | ||||
\(171\) | 3.89248e15 | − | 6.74198e15i | 0.0696235 | − | 0.120591i | ||||
\(172\) | −1.84456e16 | + | 3.19488e16i | −0.315813 | + | 0.547005i | ||||
\(173\) | −5.55245e16 | − | 9.61713e16i | −0.910205 | − | 1.57652i | −0.813774 | − | 0.581181i | \(-0.802591\pi\) |
−0.0964300 | − | 0.995340i | \(-0.530742\pi\) | |||||||
\(174\) | 5.10984e16 | 0.802209 | ||||||||
\(175\) | 3.87176e16 | + | 4.28239e15i | 0.582268 | + | 0.0644023i | ||||
\(176\) | 4.65937e15 | 0.0671402 | ||||||||
\(177\) | 5.73694e15 | + | 9.93668e15i | 0.0792284 | + | 0.137228i | ||||
\(178\) | −1.78245e15 | + | 3.08729e15i | −0.0235976 | + | 0.0408722i | ||||
\(179\) | −5.31678e15 | + | 9.20893e15i | −0.0674918 | + | 0.116899i | −0.897797 | − | 0.440410i | \(-0.854833\pi\) |
0.830305 | + | 0.557310i | \(0.188166\pi\) | |||||||
\(180\) | −6.74383e15 | − | 1.16807e16i | −0.0821037 | − | 0.142208i | ||||
\(181\) | 9.27805e16 | 1.08360 | 0.541798 | − | 0.840509i | \(-0.317744\pi\) | ||||
0.541798 | + | 0.840509i | \(0.317744\pi\) | |||||||
\(182\) | 2.43038e16 | − | 3.30716e16i | 0.272357 | − | 0.370612i | ||||
\(183\) | 3.88037e16 | 0.417339 | ||||||||
\(184\) | 8.19736e15 | + | 1.41982e16i | 0.0846331 | + | 0.146589i | ||||
\(185\) | −1.85578e16 | + | 3.21431e16i | −0.183967 | + | 0.318640i | ||||
\(186\) | 1.28327e16 | − | 2.22269e16i | 0.122172 | − | 0.211608i | ||||
\(187\) | 7.64496e15 | + | 1.32415e16i | 0.0699139 | + | 0.121094i | ||||
\(188\) | −7.51392e16 | −0.660210 | ||||||||
\(189\) | −5.02876e16 | − | 1.14621e17i | −0.424617 | − | 0.967836i | ||||
\(190\) | 1.53000e16 | 0.124176 | ||||||||
\(191\) | 7.98565e16 | + | 1.38316e17i | 0.623103 | + | 1.07925i | 0.988904 | + | 0.148554i | \(0.0474618\pi\) |
−0.365801 | + | 0.930693i | \(0.619205\pi\) | |||||||
\(192\) | −5.82912e15 | + | 1.00963e16i | −0.0437365 | + | 0.0757538i | ||||
\(193\) | −1.13388e17 | + | 1.96394e17i | −0.818255 | + | 1.41726i | 0.0887118 | + | 0.996057i | \(0.471725\pi\) |
−0.906967 | + | 0.421202i | \(0.861608\pi\) | |||||||
\(194\) | −7.58014e16 | − | 1.31292e17i | −0.526216 | − | 0.911433i | ||||
\(195\) | 4.38553e16 | 0.292929 | ||||||||
\(196\) | −2.32306e16 | − | 7.42341e16i | −0.149327 | − | 0.477181i | ||||
\(197\) | −2.94220e17 | −1.82044 | −0.910218 | − | 0.414129i | \(-0.864086\pi\) | ||||
−0.910218 | + | 0.414129i | \(0.864086\pi\) | |||||||
\(198\) | −8.13418e15 | − | 1.40888e16i | −0.0484535 | − | 0.0839239i | ||||
\(199\) | −1.02031e17 | + | 1.76722e17i | −0.585237 | + | 1.01366i | 0.409609 | + | 0.912261i | \(0.365665\pi\) |
−0.994846 | + | 0.101399i | \(0.967668\pi\) | |||||||
\(200\) | −1.87462e16 | + | 3.24694e16i | −0.103559 | + | 0.179370i | ||||
\(201\) | −8.49513e16 | − | 1.47140e17i | −0.452064 | − | 0.782997i | ||||
\(202\) | 8.49458e15 | 0.0435519 | ||||||||
\(203\) | −1.31834e17 | − | 3.00492e17i | −0.651340 | − | 1.48461i | ||||
\(204\) | −3.82570e16 | −0.182173 | ||||||||
\(205\) | 9.73961e16 | + | 1.68695e17i | 0.447082 | + | 0.774369i | ||||
\(206\) | 1.12752e17 | − | 1.95293e17i | 0.499024 | − | 0.864335i | ||||
\(207\) | 2.86214e16 | − | 4.95737e16i | 0.122155 | − | 0.211579i | ||||
\(208\) | 1.97510e16 | + | 3.42097e16i | 0.0813042 | + | 0.140823i | ||||
\(209\) | 1.84543e16 | 0.0732826 | ||||||||
\(210\) | 4.92198e16 | − | 6.69763e16i | 0.188580 | − | 0.256612i | ||||
\(211\) | 1.61133e17 | 0.595753 | 0.297876 | − | 0.954604i | \(-0.403722\pi\) | ||||
0.297876 | + | 0.954604i | \(0.403722\pi\) | |||||||
\(212\) | −6.79402e16 | − | 1.17676e17i | −0.242442 | − | 0.419922i | ||||
\(213\) | 4.36360e16 | − | 7.55798e16i | 0.150313 | − | 0.260351i | ||||
\(214\) | −1.40119e17 | + | 2.42693e17i | −0.466008 | + | 0.807150i | ||||
\(215\) | 1.26574e17 | + | 2.19232e17i | 0.406496 | + | 0.704071i | ||||
\(216\) | 1.20472e17 | 0.373665 | ||||||||
\(217\) | −1.63817e17 | − | 1.81191e16i | −0.490808 | − | 0.0542862i | ||||
\(218\) | −2.22609e17 | −0.644346 | ||||||||
\(219\) | 1.77786e17 | + | 3.07934e17i | 0.497240 | + | 0.861245i | ||||
\(220\) | 1.59863e16 | − | 2.76891e16i | 0.0432094 | − | 0.0748408i | ||||
\(221\) | −6.48136e16 | + | 1.12260e17i | −0.169326 | + | 0.293281i | ||||
\(222\) | −5.60067e16 | − | 9.70065e16i | −0.141447 | − | 0.244993i | ||||
\(223\) | 7.44998e17 | 1.81915 | 0.909576 | − | 0.415538i | \(-0.136407\pi\) | ||||
0.909576 | + | 0.415538i | \(0.136407\pi\) | |||||||
\(224\) | 7.44123e16 | + | 8.23044e15i | 0.175705 | + | 0.0194340i | ||||
\(225\) | 1.30906e17 | 0.298945 | ||||||||
\(226\) | 1.56798e17 | + | 2.71582e17i | 0.346359 | + | 0.599912i | ||||
\(227\) | 2.32750e17 | − | 4.03135e17i | 0.497389 | − | 0.861503i | −0.502607 | − | 0.864515i | \(-0.667626\pi\) |
0.999995 | + | 0.00301253i | \(0.000958921\pi\) | |||||||
\(228\) | −2.30873e16 | + | 3.99884e16i | −0.0477378 | + | 0.0826843i | ||||
\(229\) | 4.30869e16 | + | 7.46287e16i | 0.0862142 | + | 0.149327i | 0.905908 | − | 0.423475i | \(-0.139190\pi\) |
−0.819694 | + | 0.572802i | \(0.805856\pi\) | |||||||
\(230\) | 1.12500e17 | 0.217869 | ||||||||
\(231\) | 5.93673e16 | − | 8.07845e16i | 0.111290 | − | 0.151439i | ||||
\(232\) | 3.15830e17 | 0.573183 | ||||||||
\(233\) | −2.77738e17 | − | 4.81056e17i | −0.488052 | − | 0.845331i | 0.511854 | − | 0.859073i | \(-0.328959\pi\) |
−0.999906 | + | 0.0137420i | \(0.995626\pi\) | |||||||
\(234\) | 6.89612e16 | − | 1.19444e17i | 0.117351 | − | 0.203257i | ||||
\(235\) | −2.57802e17 | + | 4.46527e17i | −0.424891 | + | 0.735933i | ||||
\(236\) | 3.54590e16 | + | 6.14169e16i | 0.0566092 | + | 0.0980500i | ||||
\(237\) | −4.80677e17 | −0.743432 | ||||||||
\(238\) | 9.87035e16 | + | 2.24976e17i | 0.147913 | + | 0.337140i | ||||
\(239\) | 2.51662e17 | 0.365454 | 0.182727 | − | 0.983164i | \(-0.441508\pi\) | ||||
0.182727 | + | 0.983164i | \(0.441508\pi\) | |||||||
\(240\) | 3.99994e16 | + | 6.92810e16i | 0.0562949 | + | 0.0975057i | ||||
\(241\) | −1.15200e17 | + | 1.99532e17i | −0.157153 | + | 0.272198i | −0.933841 | − | 0.357688i | \(-0.883565\pi\) |
0.776688 | + | 0.629886i | \(0.216898\pi\) | |||||||
\(242\) | −2.48062e17 | + | 4.29656e17i | −0.328053 | + | 0.568205i | ||||
\(243\) | −3.49570e17 | − | 6.05474e17i | −0.448216 | − | 0.776333i | ||||
\(244\) | 2.39839e17 | 0.298192 | ||||||||
\(245\) | −5.20852e17 | − | 1.16646e17i | −0.628013 | − | 0.140645i | ||||
\(246\) | −5.87874e17 | −0.687498 | ||||||||
\(247\) | 7.82274e16 | + | 1.35494e17i | 0.0887425 | + | 0.153706i | ||||
\(248\) | 7.93166e16 | − | 1.37380e17i | 0.0872924 | − | 0.151195i | ||||
\(249\) | −7.19043e16 | + | 1.24542e17i | −0.0767821 | + | 0.132990i | ||||
\(250\) | 3.48220e17 | + | 6.03135e17i | 0.360831 | + | 0.624978i | ||||
\(251\) | 6.39141e17 | 0.642752 | 0.321376 | − | 0.946952i | \(-0.395855\pi\) | ||||
0.321376 | + | 0.946952i | \(0.395855\pi\) | |||||||
\(252\) | −1.05020e17 | − | 2.39373e17i | −0.102510 | − | 0.233653i | ||||
\(253\) | 1.35694e17 | 0.128575 | ||||||||
\(254\) | 1.52230e17 | + | 2.63670e17i | 0.140039 | + | 0.242554i | ||||
\(255\) | −1.31260e17 | + | 2.27349e17i | −0.117241 | + | 0.203068i | ||||
\(256\) | −3.60288e16 | + | 6.24037e16i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −9.87071e17 | − | 1.70966e18i | −0.831476 | − | 1.44016i | −0.896868 | − | 0.442299i | \(-0.854163\pi\) |
0.0653915 | − | 0.997860i | \(-0.479170\pi\) | |||||||
\(258\) | −7.63989e17 | −0.625086 | ||||||||
\(259\) | −4.25964e17 | + | 5.79634e17i | −0.338552 | + | 0.460687i | ||||
\(260\) | 2.71062e17 | 0.209300 | ||||||||
\(261\) | −5.51366e17 | − | 9.54994e17i | −0.413653 | − | 0.716468i | ||||
\(262\) | −3.03646e17 | + | 5.25931e17i | −0.221365 | + | 0.383415i | ||||
\(263\) | 1.02624e18 | − | 1.77750e18i | 0.727080 | − | 1.25934i | −0.231033 | − | 0.972946i | \(-0.574210\pi\) |
0.958112 | − | 0.286393i | \(-0.0924563\pi\) | |||||||
\(264\) | 4.82460e16 | + | 8.35645e16i | 0.0332224 | + | 0.0575430i | ||||
\(265\) | −9.32410e17 | −0.624113 | ||||||||
\(266\) | 2.94724e17 | + | 3.25982e16i | 0.191780 | + | 0.0212120i | ||||
\(267\) | −7.38262e16 | −0.0467064 | ||||||||
\(268\) | −5.25069e17 | − | 9.09446e17i | −0.323002 | − | 0.559456i | ||||
\(269\) | −6.97628e16 | + | 1.20833e17i | −0.0417332 | + | 0.0722841i | −0.886138 | − | 0.463422i | \(-0.846621\pi\) |
0.844404 | + | 0.535706i | \(0.179955\pi\) | |||||||
\(270\) | 4.13339e17 | − | 7.15924e17i | 0.240480 | − | 0.416523i | ||||
\(271\) | 6.05387e17 | + | 1.04856e18i | 0.342581 | + | 0.593368i | 0.984911 | − | 0.173060i | \(-0.0553655\pi\) |
−0.642330 | + | 0.766428i | \(0.722032\pi\) | |||||||
\(272\) | −2.36460e17 | −0.130164 | ||||||||
\(273\) | 8.44786e17 | + | 9.34383e16i | 0.452404 | + | 0.0500386i | ||||
\(274\) | −1.12045e18 | −0.583801 | ||||||||
\(275\) | 1.55157e17 | + | 2.68739e17i | 0.0786639 | + | 0.136250i | ||||
\(276\) | −1.69761e17 | + | 2.94034e17i | −0.0837566 | + | 0.145071i | ||||
\(277\) | −9.26557e15 | + | 1.60484e16i | −0.00444912 | + | 0.00770609i | −0.868241 | − | 0.496142i | \(-0.834750\pi\) |
0.863792 | + | 0.503848i | \(0.168083\pi\) | |||||||
\(278\) | 8.54711e17 | + | 1.48040e18i | 0.399469 | + | 0.691901i | ||||
\(279\) | −5.53874e17 | −0.251988 | ||||||||
\(280\) | 3.04219e17 | − | 4.13969e17i | 0.134741 | − | 0.183351i | ||||
\(281\) | 1.13047e18 | 0.487484 | 0.243742 | − | 0.969840i | \(-0.421625\pi\) | ||||
0.243742 | + | 0.969840i | \(0.421625\pi\) | |||||||
\(282\) | −7.78036e17 | − | 1.34760e18i | −0.326687 | − | 0.565838i | ||||
\(283\) | −2.08935e18 | + | 3.61886e18i | −0.854305 | + | 1.47970i | 0.0229836 | + | 0.999736i | \(0.492683\pi\) |
−0.877288 | + | 0.479964i | \(0.840650\pi\) | |||||||
\(284\) | 2.69707e17 | − | 4.67145e17i | 0.107400 | − | 0.186022i | ||||
\(285\) | 1.58425e17 | + | 2.74400e17i | 0.0614452 | + | 0.106426i | ||||
\(286\) | 3.26946e17 | 0.123518 | ||||||||
\(287\) | 1.51672e18 | + | 3.45709e18i | 0.558202 | + | 1.27232i | ||||
\(288\) | 2.51592e17 | 0.0902096 | ||||||||
\(289\) | 1.04323e18 | + | 1.80694e18i | 0.364459 | + | 0.631261i | ||||
\(290\) | 1.08361e18 | − | 1.87687e18i | 0.368883 | − | 0.638925i | ||||
\(291\) | 1.56979e18 | − | 2.71895e18i | 0.520767 | − | 0.901994i | ||||
\(292\) | 1.09886e18 | + | 1.90329e18i | 0.355281 | + | 0.615365i | ||||
\(293\) | −4.18073e17 | −0.131748 | −0.0658741 | − | 0.997828i | \(-0.520984\pi\) | ||||
−0.0658741 | + | 0.997828i | \(0.520984\pi\) | |||||||
\(294\) | 1.09082e18 | − | 1.18530e18i | 0.335081 | − | 0.364101i | ||||
\(295\) | 4.86640e17 | 0.145728 | ||||||||
\(296\) | −3.46168e17 | − | 5.99580e17i | −0.101065 | − | 0.175049i | ||||
\(297\) | 4.98556e17 | − | 8.63524e17i | 0.141919 | − | 0.245811i | ||||
\(298\) | 1.88242e18 | − | 3.26044e18i | 0.522509 | − | 0.905011i | ||||
\(299\) | 5.75204e17 | + | 9.96283e17i | 0.155700 | + | 0.269680i | ||||
\(300\) | −7.76438e17 | −0.204973 | ||||||||
\(301\) | 1.97110e18 | + | 4.49276e18i | 0.507528 | + | 1.15682i | ||||
\(302\) | −2.66062e18 | −0.668238 | ||||||||
\(303\) | 8.79580e16 | + | 1.52348e17i | 0.0215504 | + | 0.0373264i | ||||
\(304\) | −1.42699e17 | + | 2.47162e17i | −0.0341090 | + | 0.0590785i | ||||
\(305\) | 8.22886e17 | − | 1.42528e18i | 0.191907 | − | 0.332393i | ||||
\(306\) | 4.12804e17 | + | 7.14998e17i | 0.0939363 | + | 0.162702i | ||||
\(307\) | −4.73172e18 | −1.05071 | −0.525353 | − | 0.850884i | \(-0.676067\pi\) | ||||
−0.525353 | + | 0.850884i | \(0.676067\pi\) | |||||||
\(308\) | 3.66939e17 | − | 4.99315e17i | 0.0795176 | − | 0.108204i | ||||
\(309\) | 4.67002e18 | 0.987712 | ||||||||
\(310\) | −5.44270e17 | − | 9.42704e17i | −0.112357 | − | 0.194609i | ||||
\(311\) | 1.99278e18 | − | 3.45160e18i | 0.401566 | − | 0.695533i | −0.592349 | − | 0.805682i | \(-0.701799\pi\) |
0.993915 | + | 0.110148i | \(0.0351326\pi\) | |||||||
\(312\) | −4.09027e17 | + | 7.08455e17i | −0.0804622 | + | 0.139365i | ||||
\(313\) | −2.46052e17 | − | 4.26175e17i | −0.0472546 | − | 0.0818474i | 0.841431 | − | 0.540365i | \(-0.181714\pi\) |
−0.888685 | + | 0.458518i | \(0.848381\pi\) | |||||||
\(314\) | −2.52399e18 | −0.473278 | ||||||||
\(315\) | −1.78284e18 | − | 1.97192e17i | −0.326424 | − | 0.0361045i | ||||
\(316\) | −2.97098e18 | −0.531187 | ||||||||
\(317\) | −1.37877e18 | − | 2.38810e18i | −0.240740 | − | 0.416973i | 0.720186 | − | 0.693781i | \(-0.244057\pi\) |
−0.960925 | + | 0.276808i | \(0.910723\pi\) | |||||||
\(318\) | 1.40699e18 | − | 2.43697e18i | 0.239931 | − | 0.415573i | ||||
\(319\) | 1.30702e18 | − | 2.26382e18i | 0.217696 | − | 0.377061i | ||||
\(320\) | 2.47229e17 | + | 4.28214e17i | 0.0402231 | + | 0.0696684i | ||||
\(321\) | −5.80351e18 | −0.922365 | ||||||||
\(322\) | 2.16710e18 | + | 2.39694e17i | 0.336480 | + | 0.0372167i | ||||
\(323\) | −9.36544e17 | −0.142072 | ||||||||
\(324\) | 3.86733e17 | + | 6.69841e17i | 0.0573223 | + | 0.0992851i | ||||
\(325\) | −1.31541e18 | + | 2.27836e18i | −0.190518 | + | 0.329987i | ||||
\(326\) | −2.93706e18 | + | 5.08715e18i | −0.415701 | + | 0.720016i | ||||
\(327\) | −2.30503e18 | − | 3.99243e18i | −0.318837 | − | 0.552242i | ||||
\(328\) | −3.63355e18 | −0.491221 | ||||||||
\(329\) | −5.91742e18 | + | 8.05218e18i | −0.781922 | + | 1.06401i | ||||
\(330\) | 6.62127e17 | 0.0855238 | ||||||||
\(331\) | −6.50459e18 | − | 1.12663e19i | −0.821315 | − | 1.42256i | −0.904703 | − | 0.426042i | \(-0.859908\pi\) |
0.0833883 | − | 0.996517i | \(-0.473426\pi\) | |||||||
\(332\) | −4.44428e17 | + | 7.69772e17i | −0.0548613 | + | 0.0950225i | ||||
\(333\) | −1.20866e18 | + | 2.09346e18i | −0.145872 | + | 0.252657i | ||||
\(334\) | 5.64160e18 | + | 9.77155e18i | 0.665739 | + | 1.15309i | ||||
\(335\) | −7.20604e18 | −0.831497 | ||||||||
\(336\) | 6.22899e17 | + | 1.41979e18i | 0.0702867 | + | 0.160206i | ||||
\(337\) | 1.43383e19 | 1.58225 | 0.791123 | − | 0.611657i | \(-0.209497\pi\) | ||||
0.791123 | + | 0.611657i | \(0.209497\pi\) | |||||||
\(338\) | −1.88998e18 | − | 3.27355e18i | −0.203978 | − | 0.353300i | ||||
\(339\) | −3.24716e18 | + | 5.62425e18i | −0.342772 | + | 0.593699i | ||||
\(340\) | −8.11294e17 | + | 1.40520e18i | −0.0837695 | + | 0.145093i | ||||
\(341\) | −6.56481e17 | − | 1.13706e18i | −0.0663077 | − | 0.114848i | ||||
\(342\) | 9.96476e17 | 0.0984625 | ||||||||
\(343\) | −9.78466e18 | − | 3.35668e18i | −0.945888 | − | 0.324492i | ||||
\(344\) | −4.72209e18 | −0.446628 | ||||||||
\(345\) | 1.16490e18 | + | 2.01766e18i | 0.107806 | + | 0.186726i | ||||
\(346\) | 7.10714e18 | − | 1.23099e19i | 0.643612 | − | 1.11477i | ||||
\(347\) | 8.32210e18 | − | 1.44143e19i | 0.737500 | − | 1.27739i | −0.216118 | − | 0.976367i | \(-0.569340\pi\) |
0.953618 | − | 0.301020i | \(-0.0973270\pi\) | |||||||
\(348\) | 3.27030e18 | + | 5.66432e18i | 0.283624 | + | 0.491251i | ||||
\(349\) | 1.05199e19 | 0.892940 | 0.446470 | − | 0.894799i | \(-0.352681\pi\) | ||||
0.446470 | + | 0.894799i | \(0.352681\pi\) | |||||||
\(350\) | 2.00322e18 | + | 4.56596e18i | 0.166425 | + | 0.379334i | ||||
\(351\) | 8.45346e18 | 0.687434 | ||||||||
\(352\) | 2.98200e17 | + | 5.16497e17i | 0.0237376 | + | 0.0411148i | ||||
\(353\) | 5.15733e18 | − | 8.93276e18i | 0.401897 | − | 0.696106i | −0.592058 | − | 0.805895i | \(-0.701684\pi\) |
0.993955 | + | 0.109790i | \(0.0350177\pi\) | |||||||
\(354\) | −7.34329e17 | + | 1.27189e18i | −0.0560230 | + | 0.0970346i | ||||
\(355\) | −1.85072e18 | − | 3.20555e18i | −0.138239 | − | 0.239436i | ||||
\(356\) | −4.56307e17 | −0.0333720 | ||||||||
\(357\) | −3.01285e18 | + | 4.09976e18i | −0.215758 | + | 0.293594i | ||||
\(358\) | −1.36110e18 | −0.0954478 | ||||||||
\(359\) | 1.01955e19 | + | 1.76592e19i | 0.700166 | + | 1.21272i | 0.968408 | + | 0.249372i | \(0.0802241\pi\) |
−0.268242 | + | 0.963352i | \(0.586443\pi\) | |||||||
\(360\) | 8.63210e17 | − | 1.49512e18i | 0.0580561 | − | 0.100556i | ||||
\(361\) | 7.02538e18 | − | 1.21683e19i | 0.462771 | − | 0.801542i | ||||
\(362\) | 5.93795e18 | + | 1.02848e19i | 0.383109 | + | 0.663564i | ||||
\(363\) | −1.02743e19 | −0.649312 | ||||||||
\(364\) | 5.22147e18 | + | 5.77526e17i | 0.323246 | + | 0.0357529i | ||||
\(365\) | 1.50808e19 | 0.914592 | ||||||||
\(366\) | 2.48343e18 | + | 4.30143e18i | 0.147552 | + | 0.255567i | ||||
\(367\) | −1.05143e18 | + | 1.82114e18i | −0.0612049 | + | 0.106010i | −0.895004 | − | 0.446058i | \(-0.852828\pi\) |
0.833799 | + | 0.552068i | \(0.186161\pi\) | |||||||
\(368\) | −1.04926e18 | + | 1.81737e18i | −0.0598446 | + | 0.103654i | ||||
\(369\) | 6.34333e18 | + | 1.09870e19i | 0.354503 | + | 0.614017i | ||||
\(370\) | −4.75080e18 | −0.260168 | ||||||||
\(371\) | −1.79610e19 | − | 1.98660e18i | −0.963890 | − | 0.106612i | ||||
\(372\) | 3.28517e18 | 0.172777 | ||||||||
\(373\) | 1.29241e18 | + | 2.23852e18i | 0.0666168 | + | 0.115384i | 0.897410 | − | 0.441197i | \(-0.145446\pi\) |
−0.830793 | + | 0.556581i | \(0.812113\pi\) | |||||||
\(374\) | −9.78555e17 | + | 1.69491e18i | −0.0494366 | + | 0.0856267i | ||||
\(375\) | −7.21136e18 | + | 1.24904e19i | −0.357094 | + | 0.618505i | ||||
\(376\) | −4.80891e18 | − | 8.32927e18i | −0.233420 | − | 0.404295i | ||||
\(377\) | 2.21616e19 | 1.05449 | ||||||||
\(378\) | 9.48751e18 | − | 1.29102e19i | 0.442552 | − | 0.602205i | ||||
\(379\) | −1.25116e19 | −0.572160 | −0.286080 | − | 0.958206i | \(-0.592352\pi\) | ||||
−0.286080 | + | 0.958206i | \(0.592352\pi\) | |||||||
\(380\) | 9.79199e17 | + | 1.69602e18i | 0.0439030 | + | 0.0760422i | ||||
\(381\) | −3.15257e18 | + | 5.46040e18i | −0.138588 | + | 0.240042i | ||||
\(382\) | −1.02216e19 | + | 1.77044e19i | −0.440601 | + | 0.763143i | ||||
\(383\) | −9.21208e18 | − | 1.59558e19i | −0.389374 | − | 0.674415i | 0.602992 | − | 0.797748i | \(-0.293975\pi\) |
−0.992365 | + | 0.123332i | \(0.960642\pi\) | |||||||
\(384\) | −1.49226e18 | −0.0618528 | ||||||||
\(385\) | −1.70829e18 | − | 3.89374e18i | −0.0694396 | − | 0.158275i | ||||
\(386\) | −2.90274e19 | −1.15719 | ||||||||
\(387\) | 8.24367e18 | + | 1.42784e19i | 0.322321 | + | 0.558276i | ||||
\(388\) | 9.70258e18 | − | 1.68054e19i | 0.372091 | − | 0.644481i | ||||
\(389\) | −4.29488e17 | + | 7.43895e17i | −0.0161558 | + | 0.0279827i | −0.873990 | − | 0.485943i | \(-0.838476\pi\) |
0.857834 | + | 0.513926i | \(0.171809\pi\) | |||||||
\(390\) | 2.80674e18 | + | 4.86141e18i | 0.103566 | + | 0.179382i | ||||
\(391\) | −6.88639e18 | −0.249268 | ||||||||
\(392\) | 6.74219e18 | − | 7.32612e18i | 0.239417 | − | 0.260153i | ||||
\(393\) | −1.25765e19 | −0.438144 | ||||||||
\(394\) | −1.88301e19 | − | 3.26147e19i | −0.643622 | − | 1.11479i | ||||
\(395\) | −1.01934e19 | + | 1.76556e19i | −0.341855 | + | 0.592111i | ||||
\(396\) | 1.04118e18 | − | 1.80337e18i | 0.0342618 | − | 0.0593432i | ||||
\(397\) | −1.78349e19 | − | 3.08909e19i | −0.575892 | − | 0.997474i | −0.995944 | − | 0.0899744i | \(-0.971321\pi\) |
0.420052 | − | 0.907500i | \(-0.362012\pi\) | |||||||
\(398\) | −2.61198e19 | −0.827651 | ||||||||
\(399\) | 2.46711e18 | + | 5.62333e18i | 0.0767170 | + | 0.174862i | ||||
\(400\) | −4.79903e18 | −0.146455 | ||||||||
\(401\) | 7.55626e18 | + | 1.30878e19i | 0.226321 | + | 0.391999i | 0.956715 | − | 0.291027i | \(-0.0939969\pi\) |
−0.730394 | + | 0.683026i | \(0.760664\pi\) | |||||||
\(402\) | 1.08738e19 | − | 1.88339e19i | 0.319657 | − | 0.553663i | ||||
\(403\) | 5.56561e18 | − | 9.63992e18i | 0.160592 | − | 0.278154i | ||||
\(404\) | 5.43653e17 | + | 9.41635e17i | 0.0153979 | + | 0.0266700i | ||||
\(405\) | 5.30752e18 | 0.147563 | ||||||||
\(406\) | 2.48725e19 | − | 3.38455e19i | 0.678851 | − | 0.923752i | ||||
\(407\) | −5.73026e18 | −0.153538 | ||||||||
\(408\) | −2.44845e18 | − | 4.24084e18i | −0.0644080 | − | 0.111558i | ||||
\(409\) | −2.06423e19 | + | 3.57535e19i | −0.533129 | + | 0.923407i | 0.466122 | + | 0.884721i | \(0.345651\pi\) |
−0.999251 | + | 0.0386868i | \(0.987683\pi\) | |||||||
\(410\) | −1.24667e19 | + | 2.15930e19i | −0.316135 | + | 0.547562i | ||||
\(411\) | −1.16019e19 | − | 2.00950e19i | −0.288878 | − | 0.500351i | ||||
\(412\) | 2.88646e19 | 0.705727 | ||||||||
\(413\) | 9.37415e18 | + | 1.03684e18i | 0.225064 | + | 0.0248934i | ||||
\(414\) | 7.32707e18 | 0.172754 | ||||||||
\(415\) | 3.04966e18 | + | 5.28217e18i | 0.0706140 | + | 0.122307i | ||||
\(416\) | −2.52812e18 | + | 4.37884e18i | −0.0574908 | + | 0.0995769i | ||||
\(417\) | −1.77004e19 | + | 3.06580e19i | −0.395332 | + | 0.684736i | ||||
\(418\) | 1.18108e18 | + | 2.04568e18i | 0.0259093 | + | 0.0448763i | ||||
\(419\) | 4.33332e19 | 0.933718 | 0.466859 | − | 0.884332i | \(-0.345386\pi\) | ||||
0.466859 | + | 0.884332i | \(0.345386\pi\) | |||||||
\(420\) | 1.05745e19 | + | 1.16960e18i | 0.223815 | + | 0.0247553i | ||||
\(421\) | −5.29267e18 | −0.110042 | −0.0550211 | − | 0.998485i | \(-0.517523\pi\) | ||||
−0.0550211 | + | 0.998485i | \(0.517523\pi\) | |||||||
\(422\) | 1.03125e19 | + | 1.78618e19i | 0.210630 | + | 0.364822i | ||||
\(423\) | −1.67905e19 | + | 2.90819e19i | −0.336907 | + | 0.583540i | ||||
\(424\) | 8.69634e18 | − | 1.50625e19i | 0.171432 | − | 0.296930i | ||||
\(425\) | −7.87410e18 | − | 1.36383e19i | −0.152505 | − | 0.264146i | ||||
\(426\) | 1.11708e19 | 0.212575 | ||||||||
\(427\) | 1.88880e19 | − | 2.57020e19i | 0.353164 | − | 0.480571i | ||||
\(428\) | −3.58705e19 | −0.659036 | ||||||||
\(429\) | 3.38539e18 | + | 5.86368e18i | 0.0611195 | + | 0.105862i | ||||
\(430\) | −1.62015e19 | + | 2.80618e19i | −0.287436 | + | 0.497853i | ||||
\(431\) | 4.58602e18 | − | 7.94321e18i | 0.0799569 | − | 0.138489i | −0.823274 | − | 0.567644i | \(-0.807855\pi\) |
0.903231 | + | 0.429154i | \(0.141188\pi\) | |||||||
\(432\) | 7.71021e18 | + | 1.33545e19i | 0.132111 | + | 0.228822i | ||||
\(433\) | 6.69173e19 | 1.12688 | 0.563442 | − | 0.826156i | \(-0.309477\pi\) | ||||
0.563442 | + | 0.826156i | \(0.309477\pi\) | |||||||
\(434\) | −8.47577e18 | − | 1.93190e19i | −0.140283 | − | 0.319750i | ||||
\(435\) | 4.48815e19 | 0.730126 | ||||||||
\(436\) | −1.42470e19 | − | 2.46765e19i | −0.227811 | − | 0.394580i | ||||
\(437\) | −4.15580e18 | + | 7.19805e18i | −0.0653196 | + | 0.113137i | ||||
\(438\) | −2.27566e19 | + | 3.94155e19i | −0.351602 | + | 0.608992i | ||||
\(439\) | −4.66123e19 | − | 8.07349e19i | −0.707973 | − | 1.22625i | −0.965608 | − | 0.260003i | \(-0.916276\pi\) |
0.257634 | − | 0.966242i | \(-0.417057\pi\) | |||||||
\(440\) | 4.09249e18 | 0.0611073 | ||||||||
\(441\) | −3.39227e19 | − | 7.59704e18i | −0.497967 | − | 0.111521i | ||||
\(442\) | −1.65923e19 | −0.239463 | ||||||||
\(443\) | 3.72588e19 | + | 6.45342e19i | 0.528690 | + | 0.915718i | 0.999440 | + | 0.0334515i | \(0.0106499\pi\) |
−0.470750 | + | 0.882266i | \(0.656017\pi\) | |||||||
\(444\) | 7.16886e18 | − | 1.24168e19i | 0.100018 | − | 0.173236i | ||||
\(445\) | −1.56559e18 | + | 2.71168e18i | −0.0214772 | + | 0.0371996i | ||||
\(446\) | 4.76799e19 | + | 8.25840e19i | 0.643167 | + | 1.11400i | ||||
\(447\) | 7.79667e19 | 1.03420 | ||||||||
\(448\) | 3.85003e18 | + | 8.77545e18i | 0.0502203 | + | 0.114468i | ||||
\(449\) | 4.31071e19 | 0.552969 | 0.276485 | − | 0.961018i | \(-0.410831\pi\) | ||||
0.276485 | + | 0.961018i | \(0.410831\pi\) | |||||||
\(450\) | 8.37798e18 | + | 1.45111e19i | 0.105693 | + | 0.183065i | ||||
\(451\) | −1.50369e19 | + | 2.60447e19i | −0.186567 | + | 0.323143i | ||||
\(452\) | −2.00701e19 | + | 3.47625e19i | −0.244913 | + | 0.424202i | ||||
\(453\) | −2.75497e19 | − | 4.77174e19i | −0.330659 | − | 0.572718i | ||||
\(454\) | 5.95840e19 | 0.703414 | ||||||||
\(455\) | 2.13469e19 | − | 2.90480e19i | 0.247885 | − | 0.337311i | ||||
\(456\) | −5.91036e18 | −0.0675115 | ||||||||
\(457\) | −4.21778e19 | − | 7.30542e19i | −0.473928 | − | 0.820868i | 0.525626 | − | 0.850716i | \(-0.323831\pi\) |
−0.999554 | + | 0.0298476i | \(0.990498\pi\) | |||||||
\(458\) | −5.51512e18 | + | 9.55247e18i | −0.0609627 | + | 0.105590i | ||||
\(459\) | −2.53014e19 | + | 4.38232e19i | −0.275137 | + | 0.476551i | ||||
\(460\) | 7.20003e18 | + | 1.24708e19i | 0.0770283 | + | 0.133417i | ||||
\(461\) | 1.18686e20 | 1.24923 | 0.624615 | − | 0.780932i | \(-0.285256\pi\) | ||||
0.624615 | + | 0.780932i | \(0.285256\pi\) | |||||||
\(462\) | 1.27546e19 | + | 1.41073e18i | 0.132084 | + | 0.0146093i | ||||
\(463\) | −1.01731e20 | −1.03657 | −0.518283 | − | 0.855209i | \(-0.673429\pi\) | ||||
−0.518283 | + | 0.855209i | \(0.673429\pi\) | |||||||
\(464\) | 2.02131e19 | + | 3.50102e19i | 0.202651 | + | 0.351002i | ||||
\(465\) | 1.12714e19 | − | 1.95226e19i | 0.111194 | − | 0.192593i | ||||
\(466\) | 3.55505e19 | − | 6.15752e19i | 0.345105 | − | 0.597739i | ||||
\(467\) | −3.25904e19 | − | 5.64482e19i | −0.311324 | − | 0.539229i | 0.667325 | − | 0.744767i | \(-0.267439\pi\) |
−0.978649 | + | 0.205537i | \(0.934106\pi\) | |||||||
\(468\) | 1.76541e19 | 0.165959 | ||||||||
\(469\) | −1.38810e20 | − | 1.53532e19i | −1.28418 | − | 0.142038i | ||||
\(470\) | −6.59974e19 | −0.600887 | ||||||||
\(471\) | −2.61350e19 | − | 4.52671e19i | −0.234188 | − | 0.405626i | ||||
\(472\) | −4.53876e18 | + | 7.86136e18i | −0.0400287 | + | 0.0693318i | ||||
\(473\) | −1.95417e19 | + | 3.38472e19i | −0.169630 | + | 0.293808i | ||||
\(474\) | −3.07634e19 | − | 5.32837e19i | −0.262843 | − | 0.455257i | ||||
\(475\) | −1.90074e19 | −0.159853 | ||||||||
\(476\) | −1.86219e19 | + | 2.53399e19i | −0.154160 | + | 0.209774i | ||||
\(477\) | −6.07272e19 | −0.494875 | ||||||||
\(478\) | 1.61064e19 | + | 2.78970e19i | 0.129208 | + | 0.223794i | ||||
\(479\) | 2.87363e19 | − | 4.97727e19i | 0.226942 | − | 0.393075i | −0.729958 | − | 0.683492i | \(-0.760461\pi\) |
0.956900 | + | 0.290417i | \(0.0937939\pi\) | |||||||
\(480\) | −5.11993e18 | + | 8.86797e18i | −0.0398065 | + | 0.0689469i | ||||
\(481\) | −2.42904e19 | − | 4.20722e19i | −0.185929 | − | 0.322038i | ||||
\(482\) | −2.94912e19 | −0.222249 | ||||||||
\(483\) | 1.81406e19 | + | 4.13482e19i | 0.134601 | + | 0.306799i | ||||
\(484\) | −6.35038e19 | −0.463938 | ||||||||
\(485\) | −6.65790e19 | − | 1.15318e20i | −0.478933 | − | 0.829536i | ||||
\(486\) | 4.47450e19 | − | 7.75006e19i | 0.316937 | − | 0.548951i | ||||
\(487\) | −1.40869e19 | + | 2.43992e19i | −0.0982536 | + | 0.170180i | −0.910962 | − | 0.412491i | \(-0.864659\pi\) |
0.812708 | + | 0.582671i | \(0.197992\pi\) | |||||||
\(488\) | 1.53497e19 | + | 2.65864e19i | 0.105427 | + | 0.182604i | ||||
\(489\) | −1.21649e20 | −0.822793 | ||||||||
\(490\) | −2.04042e19 | − | 6.52024e19i | −0.135909 | − | 0.434303i | ||||
\(491\) | 2.39931e20 | 1.57389 | 0.786946 | − | 0.617021i | \(-0.211661\pi\) | ||||
0.786946 | + | 0.617021i | \(0.211661\pi\) | |||||||
\(492\) | −3.76240e19 | − | 6.51666e19i | −0.243067 | − | 0.421005i | ||||
\(493\) | −6.63302e19 | + | 1.14887e20i | −0.422046 | + | 0.731005i | ||||
\(494\) | −1.00131e19 | + | 1.73432e19i | −0.0627504 | + | 0.108687i | ||||
\(495\) | −7.14454e18 | − | 1.23747e19i | −0.0440997 | − | 0.0763829i | ||||
\(496\) | 2.03051e19 | 0.123450 | ||||||||
\(497\) | −2.88208e19 | − | 6.56918e19i | −0.172597 | − | 0.393403i | ||||
\(498\) | −1.84075e19 | −0.108586 | ||||||||
\(499\) | 1.36711e20 | + | 2.36791e20i | 0.794420 | + | 1.37598i | 0.923207 | + | 0.384303i | \(0.125558\pi\) |
−0.128787 | + | 0.991672i | \(0.541108\pi\) | |||||||
\(500\) | −4.45722e19 | + | 7.72013e19i | −0.255146 | + | 0.441926i | ||||
\(501\) | −1.16833e20 | + | 2.02361e20i | −0.658845 | + | 1.14115i | ||||
\(502\) | 4.09050e19 | + | 7.08496e19i | 0.227247 | + | 0.393604i | ||||
\(503\) | −2.07497e20 | −1.13567 | −0.567835 | − | 0.823143i | \(-0.692219\pi\) | ||||
−0.567835 | + | 0.823143i | \(0.692219\pi\) | |||||||
\(504\) | 1.98136e19 | − | 2.69615e19i | 0.106840 | − | 0.145383i | ||||
\(505\) | 7.46109e18 | 0.0396385 | ||||||||
\(506\) | 8.68443e18 | + | 1.50419e19i | 0.0454582 | + | 0.0787360i | ||||
\(507\) | 3.91400e19 | − | 6.77925e19i | 0.201865 | − | 0.349641i | ||||
\(508\) | −1.94855e19 | + | 3.37498e19i | −0.0990222 | + | 0.171512i | ||||
\(509\) | 8.81830e19 | + | 1.52737e20i | 0.441572 | + | 0.764825i | 0.997806 | − | 0.0662006i | \(-0.0210877\pi\) |
−0.556235 | + | 0.831025i | \(0.687754\pi\) | |||||||
\(510\) | −3.36025e19 | −0.165804 | ||||||||
\(511\) | 2.90501e20 | + | 3.21312e19i | 1.41251 | + | 0.156232i | ||||
\(512\) | −9.22337e18 | −0.0441942 | ||||||||
\(513\) | 3.05377e19 | + | 5.28929e19i | 0.144197 | + | 0.249757i | ||||
\(514\) | 1.26345e20 | − | 2.18836e20i | 0.587942 | − | 1.01835i | ||||
\(515\) | 9.90344e19 | − | 1.71533e20i | 0.454184 | − | 0.786670i | ||||
\(516\) | −4.88953e19 | − | 8.46892e19i | −0.221001 | − | 0.382785i | ||||
\(517\) | −7.96038e19 | −0.354613 | ||||||||
\(518\) | −9.15149e19 | − | 1.01221e19i | −0.401808 | − | 0.0444423i | ||||
\(519\) | 2.94366e20 | 1.27389 | ||||||||
\(520\) | 1.73480e19 | + | 3.00476e19i | 0.0739986 | + | 0.128169i | ||||
\(521\) | 1.98017e20 | − | 3.42975e20i | 0.832566 | − | 1.44205i | −0.0634310 | − | 0.997986i | \(-0.520204\pi\) |
0.895997 | − | 0.444060i | \(-0.146462\pi\) | |||||||
\(522\) | 7.05748e19 | − | 1.22239e20i | 0.292497 | − | 0.506619i | ||||
\(523\) | 1.92780e20 | + | 3.33905e20i | 0.787589 | + | 1.36414i | 0.927440 | + | 0.373972i | \(0.122004\pi\) |
−0.139850 | + | 0.990173i | \(0.544662\pi\) | |||||||
\(524\) | −7.77334e19 | −0.313057 | ||||||||
\(525\) | −6.11467e19 | + | 8.32058e19i | −0.242761 | + | 0.330338i | ||||
\(526\) | 2.62718e20 | 1.02825 | ||||||||
\(527\) | 3.33159e19 | + | 5.77049e19i | 0.128550 | + | 0.222655i | ||||
\(528\) | −6.17548e18 | + | 1.06963e19i | −0.0234918 | + | 0.0406890i | ||||
\(529\) | 1.02760e20 | − | 1.77986e20i | 0.385396 | − | 0.667525i | ||||
\(530\) | −5.96743e19 | − | 1.03359e20i | −0.220657 | − | 0.382189i | ||||
\(531\) | 3.16945e19 | 0.115551 | ||||||||
\(532\) | 1.52488e19 | + | 3.47568e19i | 0.0548148 | + | 0.124940i | ||||
\(533\) | −2.54964e20 | −0.903702 | ||||||||
\(534\) | −4.72488e18 | − | 8.18373e18i | −0.0165132 | − | 0.0286017i | ||||
\(535\) | −1.23071e20 | + | 2.13166e20i | −0.424135 | + | 0.734623i | ||||
\(536\) | 6.72088e19 | − | 1.16409e20i | 0.228397 | − | 0.395595i | ||||
\(537\) | −1.40936e19 | − | 2.44108e19i | −0.0472297 | − | 0.0818042i | ||||
\(538\) | −1.78593e19 | −0.0590197 | ||||||||
\(539\) | −2.46109e19 | − | 7.86450e19i | −0.0802068 | − | 0.256304i | ||||
\(540\) | 1.05815e20 | 0.340089 | ||||||||
\(541\) | 9.82497e19 | + | 1.70174e20i | 0.311424 | + | 0.539402i | 0.978671 | − | 0.205435i | \(-0.0658608\pi\) |
−0.667247 | + | 0.744837i | \(0.732527\pi\) | |||||||
\(542\) | −7.74895e19 | + | 1.34216e20i | −0.242241 | + | 0.419574i | ||||
\(543\) | −1.22970e20 | + | 2.12991e20i | −0.379142 | + | 0.656692i | ||||
\(544\) | −1.51334e19 | − | 2.62119e19i | −0.0460199 | − | 0.0797088i | ||||
\(545\) | −1.95526e20 | −0.586448 | ||||||||
\(546\) | 4.37085e19 | + | 9.96256e19i | 0.129307 | + | 0.294731i | ||||
\(547\) | −3.49320e20 | −1.01934 | −0.509670 | − | 0.860370i | \(-0.670232\pi\) | ||||
−0.509670 | + | 0.860370i | \(0.670232\pi\) | |||||||
\(548\) | −7.17090e19 | − | 1.24204e20i | −0.206405 | − | 0.357504i | ||||
\(549\) | 5.35939e19 | − | 9.28274e19i | 0.152168 | − | 0.263563i | ||||
\(550\) | −1.98601e19 | + | 3.43987e19i | −0.0556238 | + | 0.0963432i | ||||
\(551\) | 8.00579e19 | + | 1.38664e20i | 0.221191 | + | 0.383114i | ||||
\(552\) | −4.34588e19 | −0.118450 | ||||||||
\(553\) | −2.33974e20 | + | 3.18381e20i | −0.629112 | + | 0.856069i | ||||
\(554\) | −2.37199e18 | −0.00629200 | ||||||||
\(555\) | −4.91927e19 | − | 8.52042e19i | −0.128737 | − | 0.222979i | ||||
\(556\) | −1.09403e20 | + | 1.89492e20i | −0.282467 | + | 0.489248i | ||||
\(557\) | 3.52391e20 | − | 6.10359e20i | 0.897658 | − | 1.55479i | 0.0671768 | − | 0.997741i | \(-0.478601\pi\) |
0.830481 | − | 0.557047i | \(-0.188066\pi\) | |||||||
\(558\) | −3.54479e19 | − | 6.13976e19i | −0.0890911 | − | 0.154310i | ||||
\(559\) | −3.31346e20 | −0.821663 | ||||||||
\(560\) | 6.53590e19 | + | 7.22909e18i | 0.159917 | + | 0.0176878i | ||||
\(561\) | −4.05302e19 | −0.0978492 | ||||||||
\(562\) | 7.23498e19 | + | 1.25314e20i | 0.172351 | + | 0.298522i | ||||
\(563\) | −4.05091e19 | + | 7.01639e19i | −0.0952226 | + | 0.164930i | −0.909701 | − | 0.415263i | \(-0.863690\pi\) |
0.814479 | + | 0.580193i | \(0.197023\pi\) | |||||||
\(564\) | 9.95886e19 | − | 1.72493e20i | 0.231002 | − | 0.400108i | ||||
\(565\) | 1.37721e20 | + | 2.38540e20i | 0.315237 | + | 0.546006i | ||||
\(566\) | −5.34874e20 | −1.20817 | ||||||||
\(567\) | 1.02239e20 | + | 1.13082e19i | 0.227899 | + | 0.0252070i | ||||
\(568\) | 6.90449e19 | 0.151886 | ||||||||
\(569\) | −4.02778e20 | − | 6.97633e20i | −0.874428 | − | 1.51455i | −0.857371 | − | 0.514699i | \(-0.827904\pi\) |
−0.0170574 | − | 0.999855i | \(-0.505430\pi\) | |||||||
\(570\) | −2.02784e19 | + | 3.51233e19i | −0.0434483 | + | 0.0752547i | ||||
\(571\) | 2.18892e20 | − | 3.79131e20i | 0.462869 | − | 0.801713i | −0.536233 | − | 0.844070i | \(-0.680153\pi\) |
0.999103 | + | 0.0423568i | \(0.0134866\pi\) | |||||||
\(572\) | 2.09245e19 | + | 3.62424e19i | 0.0436702 | + | 0.0756391i | ||||
\(573\) | −4.23364e20 | −0.872076 | ||||||||
\(574\) | −2.86152e20 | + | 3.89384e20i | −0.581779 | + | 0.791661i | ||||
\(575\) | −1.39761e20 | −0.280465 | ||||||||
\(576\) | 1.61019e19 | + | 2.78892e19i | 0.0318939 | + | 0.0552418i | ||||
\(577\) | 8.52466e19 | − | 1.47651e20i | 0.166670 | − | 0.288681i | −0.770577 | − | 0.637347i | \(-0.780032\pi\) |
0.937247 | + | 0.348666i | \(0.113365\pi\) | |||||||
\(578\) | −1.33534e20 | + | 2.31288e20i | −0.257711 | + | 0.446369i | ||||
\(579\) | −3.00567e20 | − | 5.20598e20i | −0.572602 | − | 0.991775i | ||||
\(580\) | 2.77405e20 | 0.521680 | ||||||||
\(581\) | 4.74915e19 | + | 1.08248e20i | 0.0881648 | + | 0.200955i | ||||
\(582\) | 4.01865e20 | 0.736475 | ||||||||
\(583\) | −7.19771e19 | − | 1.24668e20i | −0.130221 | − | 0.225549i | ||||
\(584\) | −1.40654e20 | + | 2.43621e20i | −0.251222 | + | 0.435129i | ||||
\(585\) | 6.05710e19 | − | 1.04912e20i | 0.106806 | − | 0.184994i | ||||
\(586\) | −2.67567e19 | − | 4.63439e19i | −0.0465800 | − | 0.0806790i | ||||
\(587\) | −3.75867e19 | −0.0646023 | −0.0323012 | − | 0.999478i | \(-0.510284\pi\) | ||||
−0.0323012 | + | 0.999478i | \(0.510284\pi\) | |||||||
\(588\) | 2.01204e20 | + | 4.50600e19i | 0.341435 | + | 0.0764648i | ||||
\(589\) | 8.04220e19 | 0.134744 | ||||||||
\(590\) | 3.11449e19 | + | 5.39446e19i | 0.0515225 | + | 0.0892397i | ||||
\(591\) | 3.89956e20 | − | 6.75424e20i | 0.636956 | − | 1.10324i | ||||
\(592\) | 4.43095e19 | − | 7.67463e19i | 0.0714634 | − | 0.123778i | ||||
\(593\) | 4.88963e20 | + | 8.46909e20i | 0.778693 | + | 1.34874i | 0.932696 | + | 0.360665i | \(0.117450\pi\) |
−0.154003 | + | 0.988070i | \(0.549217\pi\) | |||||||
\(594\) | 1.27630e20 | 0.200704 | ||||||||
\(595\) | 8.66947e19 | + | 1.97605e20i | 0.134622 | + | 0.306846i | ||||
\(596\) | 4.81898e20 | 0.738939 | ||||||||
\(597\) | −2.70460e20 | − | 4.68451e20i | −0.409540 | − | 0.709344i | ||||
\(598\) | −7.36262e19 | + | 1.27524e20i | −0.110096 | + | 0.190693i | ||||
\(599\) | 2.59424e20 | − | 4.49336e20i | 0.383097 | − | 0.663544i | −0.608406 | − | 0.793626i | \(-0.708191\pi\) |
0.991503 | + | 0.130082i | \(0.0415240\pi\) | |||||||
\(600\) | −4.96920e19 | − | 8.60691e19i | −0.0724690 | − | 0.125520i | ||||
\(601\) | 8.84945e20 | 1.27455 | 0.637276 | − | 0.770636i | \(-0.280061\pi\) | ||||
0.637276 | + | 0.770636i | \(0.280061\pi\) | |||||||
\(602\) | −3.71878e20 | + | 5.06036e20i | −0.528965 | + | 0.719793i | ||||
\(603\) | −4.69324e20 | −0.659315 | ||||||||
\(604\) | −1.70280e20 | − | 2.94933e20i | −0.236258 | − | 0.409210i | ||||
\(605\) | −2.17881e20 | + | 3.77382e20i | −0.298576 | + | 0.517149i | ||||
\(606\) | −1.12586e19 | + | 1.95005e19i | −0.0152385 | + | 0.0263938i | ||||
\(607\) | 5.02265e20 | + | 8.69948e20i | 0.671456 | + | 1.16300i | 0.977491 | + | 0.210975i | \(0.0676640\pi\) |
−0.306036 | + | 0.952020i | \(0.599003\pi\) | |||||||
\(608\) | −3.65309e19 | −0.0482374 | ||||||||
\(609\) | 8.64554e20 | + | 9.56248e19i | 1.12762 | + | 0.124721i | ||||
\(610\) | 2.10659e20 | 0.271397 | ||||||||
\(611\) | −3.37438e20 | − | 5.84461e20i | −0.429423 | − | 0.743783i | ||||
\(612\) | −5.28389e19 | + | 9.15197e19i | −0.0664230 | + | 0.115048i | ||||
\(613\) | −7.37934e20 | + | 1.27814e21i | −0.916356 | + | 1.58718i | −0.111452 | + | 0.993770i | \(0.535550\pi\) |
−0.804904 | + | 0.593405i | \(0.797783\pi\) | |||||||
\(614\) | −3.02830e20 | − | 5.24517e20i | −0.371481 | − | 0.643424i | ||||
\(615\) | −5.16351e20 | −0.625722 | ||||||||
\(616\) | 7.88338e19 | + | 8.71949e18i | 0.0943750 | + | 0.0104384i | ||||
\(617\) | 7.44699e20 | 0.880729 | 0.440364 | − | 0.897819i | \(-0.354849\pi\) | ||||
0.440364 | + | 0.897819i | \(0.354849\pi\) | |||||||
\(618\) | 2.98882e20 | + | 5.17678e20i | 0.349209 | + | 0.604848i | ||||
\(619\) | −7.42649e19 | + | 1.28631e20i | −0.0857243 | + | 0.148479i | −0.905700 | − | 0.423920i | \(-0.860654\pi\) |
0.819975 | + | 0.572399i | \(0.193987\pi\) | |||||||
\(620\) | 6.96666e19 | − | 1.20666e20i | 0.0794487 | − | 0.137609i | ||||
\(621\) | 2.24543e20 | + | 3.88920e20i | 0.252996 | + | 0.438201i | ||||
\(622\) | 5.10153e20 | 0.567900 | ||||||||
\(623\) | −3.59355e19 | + | 4.88995e19i | −0.0395242 | + | 0.0537829i | ||||
\(624\) | −1.04711e20 | −0.113791 | ||||||||
\(625\) | 3.30610e19 | + | 5.72633e19i | 0.0354990 | + | 0.0614860i | ||||
\(626\) | 3.14947e19 | − | 5.45504e19i | 0.0334141 | − | 0.0578749i | ||||
\(627\) | −2.44592e19 | + | 4.23645e19i | −0.0256410 | + | 0.0444115i | ||||
\(628\) | −1.61536e20 | − | 2.79788e20i | −0.167329 | − | 0.289822i | ||||
\(629\) | 2.90807e20 | 0.297663 | ||||||||
\(630\) | −9.22425e19 | − | 2.10250e20i | −0.0932990 | − | 0.212658i | ||||
\(631\) | −4.46725e20 | −0.446499 | −0.223250 | − | 0.974761i | \(-0.571666\pi\) | ||||
−0.223250 | + | 0.974761i | \(0.571666\pi\) | |||||||
\(632\) | −1.90143e20 | − | 3.29337e20i | −0.187803 | − | 0.325284i | ||||
\(633\) | −2.13564e20 | + | 3.69903e20i | −0.208449 | + | 0.361044i | ||||
\(634\) | 1.76483e20 | − | 3.05677e20i | 0.170229 | − | 0.294844i | ||||
\(635\) | 1.33709e20 | + | 2.31591e20i | 0.127455 | + | 0.220759i | ||||
\(636\) | 3.60189e20 | 0.339314 | ||||||||
\(637\) | 4.73096e20 | − | 5.14070e20i | 0.440457 | − | 0.478604i | ||||
\(638\) | 3.34596e20 | 0.307869 | ||||||||
\(639\) | −1.20536e20 | − | 2.08775e20i | −0.109613 | − | 0.189855i | ||||
\(640\) | −3.16454e19 | + | 5.48114e19i | −0.0284420 | + | 0.0492630i | ||||
\(641\) | 2.43408e20 | − | 4.21595e20i | 0.216222 | − | 0.374507i | −0.737428 | − | 0.675426i | \(-0.763960\pi\) |
0.953650 | + | 0.300919i | \(0.0972933\pi\) | |||||||
\(642\) | −3.71425e20 | − | 6.43326e20i | −0.326105 | − | 0.564831i | ||||
\(643\) | −1.16641e21 | −1.01220 | −0.506102 | − | 0.862474i | \(-0.668914\pi\) | ||||
−0.506102 | + | 0.862474i | \(0.668914\pi\) | |||||||
\(644\) | 1.12124e20 | + | 2.55566e20i | 0.0961733 | + | 0.219209i | ||||
\(645\) | −6.71039e20 | −0.568918 | ||||||||
\(646\) | −5.99388e19 | − | 1.03817e20i | −0.0502301 | − | 0.0870011i | ||||
\(647\) | 1.03353e20 | − | 1.79012e20i | 0.0856129 | − | 0.148286i | −0.820039 | − | 0.572307i | \(-0.806049\pi\) |
0.905652 | + | 0.424021i | \(0.139382\pi\) | |||||||
\(648\) | −4.95018e19 | + | 8.57397e19i | −0.0405330 | + | 0.0702052i | ||||
\(649\) | 3.75660e19 | + | 6.50662e19i | 0.0304060 | + | 0.0526648i | ||||
\(650\) | −3.36745e20 | −0.269433 | ||||||||
\(651\) | 2.58717e20 | − | 3.52050e20i | 0.204629 | − | 0.278450i | ||||
\(652\) | −7.51889e20 | −0.587891 | ||||||||
\(653\) | 1.11162e20 | + | 1.92539e20i | 0.0859228 | + | 0.148823i | 0.905784 | − | 0.423740i | \(-0.139283\pi\) |
−0.819861 | + | 0.572562i | \(0.805950\pi\) | |||||||
\(654\) | 2.95044e20 | − | 5.11031e20i | 0.225452 | − | 0.390494i | ||||
\(655\) | −2.66703e20 | + | 4.61944e20i | −0.201474 | + | 0.348963i | ||||
\(656\) | −2.32547e20 | − | 4.02783e20i | −0.173673 | − | 0.300810i | ||||
\(657\) | 9.82200e20 | 0.725203 | ||||||||
\(658\) | −1.27131e21 | − | 1.40614e20i | −0.928019 | − | 0.102644i | ||||
\(659\) | −1.06996e21 | −0.772198 | −0.386099 | − | 0.922457i | \(-0.626178\pi\) | ||||
−0.386099 | + | 0.922457i | \(0.626178\pi\) | |||||||
\(660\) | 4.23761e19 | + | 7.33976e19i | 0.0302372 | + | 0.0523724i | ||||
\(661\) | 7.41445e20 | − | 1.28422e21i | 0.523080 | − | 0.906001i | −0.476559 | − | 0.879142i | \(-0.658116\pi\) |
0.999639 | − | 0.0268585i | \(-0.00855036\pi\) | |||||||
\(662\) | 8.32587e20 | − | 1.44208e21i | 0.580757 | − | 1.00590i | ||||
\(663\) | −1.71806e20 | − | 2.97578e20i | −0.118492 | − | 0.205234i | ||||
\(664\) | −1.13774e20 | −0.0775855 | ||||||||
\(665\) | 2.58866e20 | + | 2.86322e19i | 0.174547 | + | 0.0193060i | ||||
\(666\) | −3.09416e20 | −0.206294 | ||||||||
\(667\) | 5.88664e20 | + | 1.01960e21i | 0.388082 | + | 0.672178i | ||||
\(668\) | −7.22125e20 | + | 1.25076e21i | −0.470749 | + | 0.815361i | ||||
\(669\) | −9.87413e20 | + | 1.71025e21i | −0.636507 | + | 1.10246i | ||||
\(670\) | −4.61187e20 | − | 7.98799e20i | −0.293979 | − | 0.509186i | ||||
\(671\) | 2.54090e20 | 0.160165 | ||||||||
\(672\) | −1.17519e20 | + | 1.59915e20i | −0.0732555 | + | 0.0996829i | ||||
\(673\) | −5.22502e20 | −0.322089 | −0.161044 | − | 0.986947i | \(-0.551486\pi\) | ||||
−0.161044 | + | 0.986947i | \(0.551486\pi\) | |||||||
\(674\) | 9.17652e20 | + | 1.58942e21i | 0.559408 | + | 0.968924i | ||||
\(675\) | −5.13499e20 | + | 8.89406e20i | −0.309572 | + | 0.536194i | ||||
\(676\) | 2.41918e20 | − | 4.19014e20i | 0.144234 | − | 0.249821i | ||||
\(677\) | 3.10568e20 | + | 5.37919e20i | 0.183122 | + | 0.317177i | 0.942942 | − | 0.332956i | \(-0.108046\pi\) |
−0.759820 | + | 0.650134i | \(0.774713\pi\) | |||||||
\(678\) | −8.31273e20 | −0.484753 | ||||||||
\(679\) | −1.03682e21 | − | 2.36323e21i | −0.597969 | − | 1.36296i | ||||
\(680\) | −2.07691e20 | −0.118468 | ||||||||
\(681\) | 6.16969e20 | + | 1.06862e21i | 0.348065 | + | 0.602866i | ||||
\(682\) | 8.40295e19 | − | 1.45543e20i | 0.0468866 | − | 0.0812101i | ||||
\(683\) | −9.52109e20 | + | 1.64910e21i | −0.525450 | + | 0.910106i | 0.474111 | + | 0.880465i | \(0.342770\pi\) |
−0.999561 | + | 0.0296407i | \(0.990564\pi\) | |||||||
\(684\) | 6.37745e19 | + | 1.10461e20i | 0.0348118 | + | 0.0602957i | ||||
\(685\) | −9.84134e20 | −0.531343 | ||||||||
\(686\) | −2.54126e20 | − | 1.29947e21i | −0.135712 | − | 0.693961i | ||||
\(687\) | −2.28428e20 | −0.120663 | ||||||||
\(688\) | −3.02213e20 | − | 5.23449e20i | −0.157907 | − | 0.273502i | ||||
\(689\) | 6.10218e20 | − | 1.05693e21i | 0.315385 | − | 0.546263i | ||||
\(690\) | −1.49107e20 | + | 2.58261e20i | −0.0762306 | + | 0.132035i | ||||
\(691\) | −1.29297e21 | − | 2.23949e21i | −0.653888 | − | 1.13257i | −0.982171 | − | 0.187987i | \(-0.939804\pi\) |
0.328284 | − | 0.944579i | \(-0.393530\pi\) | |||||||
\(692\) | 1.81943e21 | 0.910205 | ||||||||
\(693\) | −1.11260e20 | − | 2.53597e20i | −0.0550604 | − | 0.125500i | ||||
\(694\) | 2.13046e21 | 1.04298 | ||||||||
\(695\) | 7.50723e20 | + | 1.30029e21i | 0.363575 | + | 0.629730i | ||||
\(696\) | −4.18598e20 | + | 7.25033e20i | −0.200552 | + | 0.347367i | ||||
\(697\) | 7.63113e20 | − | 1.32175e21i | 0.361695 | − | 0.626475i | ||||
\(698\) | 6.73276e20 | + | 1.16615e21i | 0.315702 | + | 0.546812i | ||||
\(699\) | 1.47244e21 | 0.683062 | ||||||||
\(700\) | −3.77937e20 | + | 5.14281e20i | −0.173454 | + | 0.236029i | ||||
\(701\) | 1.19851e21 | 0.544198 | 0.272099 | − | 0.962269i | \(-0.412282\pi\) | ||||
0.272099 | + | 0.962269i | \(0.412282\pi\) | |||||||
\(702\) | 5.41021e20 | + | 9.37076e20i | 0.243045 | + | 0.420966i | ||||
\(703\) | 1.75496e20 | − | 3.03968e20i | 0.0780014 | − | 0.135102i | ||||
\(704\) | −3.81696e19 | + | 6.61117e19i | −0.0167850 | + | 0.0290726i | ||||
\(705\) | −6.83377e20 | − | 1.18364e21i | −0.297332 | − | 0.514994i | ||||
\(706\) | 1.32028e21 | 0.568368 | ||||||||
\(707\) | 1.43723e20 | + | 1.58966e19i | 0.0612183 | + | 0.00677111i | ||||
\(708\) | −1.87988e20 | −0.0792284 | ||||||||
\(709\) | 7.52905e20 | + | 1.30407e21i | 0.313974 | + | 0.543818i | 0.979219 | − | 0.202807i | \(-0.0650063\pi\) |
−0.665245 | + | 0.746625i | \(0.731673\pi\) | |||||||
\(710\) | 2.36893e20 | − | 4.10310e20i | 0.0977494 | − | 0.169307i | ||||
\(711\) | −6.63891e20 | + | 1.14989e21i | −0.271066 | + | 0.469500i | ||||
\(712\) | −2.92037e19 | − | 5.05822e19i | −0.0117988 | − | 0.0204361i | ||||
\(713\) | 5.91341e20 | 0.236411 | ||||||||
\(714\) | −6.47286e20 | − | 7.15937e19i | −0.256070 | − | 0.0283229i | ||||
\(715\) | 2.87168e20 | 0.112419 | ||||||||
\(716\) | −8.71101e19 | − | 1.50879e20i | −0.0337459 | − | 0.0584496i | ||||
\(717\) | −3.33550e20 | + | 5.77725e20i | −0.127869 | + | 0.221476i | ||||
\(718\) | −1.30503e21 | + | 2.26037e21i | −0.495092 | + | 0.857525i | ||||
\(719\) | 9.70934e20 | + | 1.68171e21i | 0.364521 | + | 0.631369i | 0.988699 | − | 0.149913i | \(-0.0478993\pi\) |
−0.624178 | + | 0.781282i | \(0.714566\pi\) | |||||||
\(720\) | 2.20982e20 | 0.0821037 | ||||||||
\(721\) | 2.27317e21 | − | 3.09323e21i | 0.835829 | − | 1.13736i | ||||
\(722\) | 1.79850e21 | 0.654456 | ||||||||
\(723\) | −3.05369e20 | − | 5.28915e20i | −0.109973 | − | 0.190480i | ||||
\(724\) | −7.60058e20 | + | 1.31646e21i | −0.270899 | + | 0.469211i | ||||
\(725\) | −1.34619e21 | + | 2.33167e21i | −0.474867 | + | 0.822493i | ||||
\(726\) | −6.57557e20 | − | 1.13892e21i | −0.229567 | − | 0.397621i | ||||
\(727\) | 4.32715e21 | 1.49518 | 0.747591 | − | 0.664159i | \(-0.231210\pi\) | ||||
0.747591 | + | 0.664159i | \(0.231210\pi\) | |||||||
\(728\) | 2.70155e20 | + | 6.15769e20i | 0.0923905 | + | 0.210587i | ||||
\(729\) | 2.53066e21 | 0.856598 | ||||||||
\(730\) | 9.65170e20 | + | 1.67172e21i | 0.323357 | + | 0.560071i | ||||
\(731\) | 9.91726e20 | − | 1.71772e21i | 0.328860 | − | 0.569603i | ||||
\(732\) | −3.17880e20 | + | 5.50584e20i | −0.104335 | + | 0.180713i | ||||
\(733\) | −2.23515e21 | − | 3.87140e21i | −0.726152 | − | 1.25773i | −0.958498 | − | 0.285099i | \(-0.907973\pi\) |
0.232346 | − | 0.972633i | \(-0.425360\pi\) | |||||||
\(734\) | −2.69167e20 | −0.0865569 | ||||||||
\(735\) | 9.58108e20 | − | 1.04109e21i | 0.304972 | − | 0.331385i | ||||
\(736\) | −2.68611e20 | −0.0846331 | ||||||||
\(737\) | −5.56268e20 | − | 9.63485e20i | −0.173491 | − | 0.300496i | ||||
\(738\) | −8.11947e20 | + | 1.40633e21i | −0.250671 | + | 0.434176i | ||||
\(739\) | 1.21450e20 | − | 2.10357e20i | 0.0371161 | − | 0.0642870i | −0.846871 | − | 0.531799i | \(-0.821516\pi\) |
0.883987 | + | 0.467512i | \(0.154850\pi\) | |||||||
\(740\) | −3.04051e20 | − | 5.26633e20i | −0.0919833 | − | 0.159320i | ||||
\(741\) | −4.14727e20 | −0.124201 | ||||||||
\(742\) | −9.29290e20 | − | 2.11815e21i | −0.275500 | − | 0.627953i | ||||
\(743\) | −5.29587e21 | −1.55425 | −0.777125 | − | 0.629346i | \(-0.783323\pi\) | ||||
−0.777125 | + | 0.629346i | \(0.783323\pi\) | |||||||
\(744\) | 2.10251e20 | + | 3.64165e20i | 0.0610859 | + | 0.105804i | ||||
\(745\) | 1.65339e21 | − | 2.86376e21i | 0.475558 | − | 0.823691i | ||||
\(746\) | −1.65428e20 | + | 2.86530e20i | −0.0471052 | + | 0.0815886i | ||||
\(747\) | 1.98622e20 | + | 3.44024e20i | 0.0559917 | + | 0.0969804i | ||||
\(748\) | −2.50510e20 | −0.0699139 | ||||||||
\(749\) | −2.82490e21 | + | 3.84401e21i | −0.780530 | + | 1.06211i | ||||
\(750\) | −1.84611e21 | −0.505007 | ||||||||
\(751\) | −1.56870e21 | − | 2.71707e21i | −0.424855 | − | 0.735871i | 0.571552 | − | 0.820566i | \(-0.306342\pi\) |
−0.996407 | + | 0.0846951i | \(0.973008\pi\) | |||||||
\(752\) | 6.15540e20 | − | 1.06615e21i | 0.165053 | − | 0.285880i | ||||
\(753\) | −8.47110e20 | + | 1.46724e21i | −0.224894 | + | 0.389528i | ||||
\(754\) | 1.41834e21 | + | 2.45665e21i | 0.372818 | + | 0.645740i | ||||
\(755\) | −2.33692e21 | −0.608193 | ||||||||
\(756\) | 2.03831e21 | + | 2.25450e20i | 0.525240 | + | 0.0580946i | ||||
\(757\) | −5.00864e21 | −1.27791 | −0.638955 | − | 0.769244i | \(-0.720633\pi\) | ||||
−0.638955 | + | 0.769244i | \(0.720633\pi\) | |||||||
\(758\) | −8.00740e20 | − | 1.38692e21i | −0.202289 | − | 0.350375i | ||||
\(759\) | −1.79848e20 | + | 3.11505e20i | −0.0449875 | + | 0.0779206i | ||||
\(760\) | −1.25337e20 | + | 2.17091e20i | −0.0310441 | + | 0.0537699i | ||||
\(761\) | −5.87976e20 | − | 1.01840e21i | −0.144203 | − | 0.249767i | 0.784872 | − | 0.619658i | \(-0.212729\pi\) |
−0.929075 | + | 0.369891i | \(0.879395\pi\) | |||||||
\(762\) | −8.07057e20 | −0.195994 | ||||||||
\(763\) | −3.76641e21 | − | 4.16588e20i | −0.905720 | − | 0.100178i | ||||
\(764\) | −2.61674e21 | −0.623103 | ||||||||
\(765\) | 3.62581e20 | + | 6.28008e20i | 0.0854956 | + | 0.148083i | ||||
\(766\) | 1.17915e21 | − | 2.04234e21i | 0.275329 | − | 0.476884i | ||||
\(767\) | −3.18482e20 | + | 5.51628e20i | −0.0736411 | + | 0.127550i | ||||
\(768\) | −9.55044e19 | − | 1.65418e20i | −0.0218683 | − | 0.0378769i | ||||
\(769\) | 3.42137e20 | 0.0775804 | 0.0387902 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387902 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(770\) | 3.22296e20 | − | 4.38566e20i | 0.0723725 | − | 0.0984815i | ||||
\(771\) | 5.23301e21 | 1.16371 | ||||||||
\(772\) | −1.85776e21 | − | 3.21773e21i | −0.409128 | − | 0.708630i | ||||
\(773\) | −3.35867e21 | + | 5.81739e21i | −0.732523 | + | 1.26877i | 0.223278 | + | 0.974755i | \(0.428324\pi\) |
−0.955801 | + | 0.294013i | \(0.905009\pi\) | |||||||
\(774\) | −1.05519e21 | + | 1.82764e21i | −0.227915 | + | 0.394761i | ||||
\(775\) | 6.76157e20 | + | 1.17114e21i | 0.144639 | + | 0.250522i | ||||
\(776\) | 2.48386e21 | 0.526216 | ||||||||
\(777\) | −7.66064e20 | − | 1.74610e21i | −0.160734 | − | 0.366363i | ||||
\(778\) | −1.09949e20 | −0.0228478 | ||||||||
\(779\) | −9.21047e20 | − | 1.59530e21i | −0.189562 | − | 0.328331i | ||||
\(780\) | −3.59263e20 | + | 6.22261e20i | −0.0732323 | + | 0.126842i | ||||
\(781\) | 2.85732e20 | − | 4.94903e20i | 0.0576868 | − | 0.0999165i | ||||
\(782\) | −4.40729e20 | − | 7.63365e20i | −0.0881294 | − | 0.152645i | ||||
\(783\) | 8.65127e21 | 1.71343 | ||||||||
\(784\) | 1.24361e21 | + | 2.78508e20i | 0.243957 | + | 0.0546346i | ||||
\(785\) | −2.21691e21 | −0.430751 | ||||||||
\(786\) | −8.04899e20 | − | 1.39413e21i | −0.154907 | − | 0.268308i | ||||
\(787\) | −1.06923e21 | + | 1.85196e21i | −0.203826 | + | 0.353037i | −0.949758 | − | 0.312985i | \(-0.898671\pi\) |
0.745932 | + | 0.666022i | \(0.232004\pi\) | |||||||
\(788\) | 2.41025e21 | − | 4.17468e21i | 0.455109 | − | 0.788272i | ||||
\(789\) | 2.72034e21 | + | 4.71177e21i | 0.508799 | + | 0.881265i | ||||
\(790\) | −2.60952e21 | −0.483457 | ||||||||
\(791\) | 2.14469e21 | + | 4.88843e21i | 0.393587 | + | 0.897110i | ||||
\(792\) | 2.66541e20 | 0.0484535 | ||||||||
\(793\) | 1.07708e21 | + | 1.86556e21i | 0.193954 | + | 0.335938i | ||||
\(794\) | 2.28286e21 | − | 3.95404e21i | 0.407217 | − | 0.705321i | ||||
\(795\) | 1.23581e21 | − | 2.14048e21i | 0.218372 | − | 0.378232i | ||||
\(796\) | −1.67167e21 | − | 2.89541e21i | −0.292619 | − | 0.506830i | ||||
\(797\) | −6.32059e21 | −1.09602 | −0.548012 | − | 0.836471i | \(-0.684615\pi\) | ||||
−0.548012 | + | 0.836471i | \(0.684615\pi\) | |||||||
\(798\) | −4.65458e20 | + | 6.33375e20i | −0.0799574 | + | 0.108803i | ||||
\(799\) | 4.03984e21 | 0.687485 | ||||||||
\(800\) | −3.07138e20 | − | 5.31978e20i | −0.0517795 | − | 0.0896848i | ||||
\(801\) | −1.01966e20 | + | 1.76610e20i | −0.0170298 | + | 0.0294965i | ||||
\(802\) | −9.67202e20 | + | 1.67524e21i | −0.160033 | + | 0.277185i | ||||
\(803\) | 1.16416e21 | + | 2.01638e21i | 0.190829 | + | 0.330526i | ||||
\(804\) | 2.78368e21 | 0.452064 | ||||||||
\(805\) | 1.90344e21 | + | 2.10532e20i | 0.306246 | + | 0.0338726i | ||||
\(806\) | 1.42480e21 | 0.227112 | ||||||||
\(807\) | −1.84926e20 | − | 3.20301e20i | −0.0292043 | − | 0.0505832i | ||||
\(808\) | −6.95876e19 | + | 1.20529e20i | −0.0108880 | + | 0.0188585i | ||||
\(809\) | 5.16714e21 | − | 8.94975e21i | 0.801007 | − | 1.38739i | −0.117946 | − | 0.993020i | \(-0.537631\pi\) |
0.918954 | − | 0.394365i | \(-0.129036\pi\) | |||||||
\(810\) | 3.39681e20 | + | 5.88345e20i | 0.0521716 | + | 0.0903638i | ||||
\(811\) | 8.11039e21 | 1.23420 | 0.617099 | − | 0.786885i | \(-0.288308\pi\) | ||||
0.617099 | + | 0.786885i | \(0.288308\pi\) | |||||||
\(812\) | 5.34366e21 | + | 5.91040e20i | 0.805690 | + | 0.0891141i | ||||
\(813\) | −3.20949e21 | −0.479465 | ||||||||
\(814\) | −3.66737e20 | − | 6.35207e20i | −0.0542839 | − | 0.0940225i | ||||
\(815\) | −2.57973e21 | + | 4.46822e21i | −0.378348 | + | 0.655319i | ||||
\(816\) | 3.13402e20 | − | 5.42827e20i | 0.0455433 | − | 0.0788834i | ||||
\(817\) | −1.19697e21 | − | 2.07322e21i | −0.172353 | − | 0.298524i | ||||
\(818\) | −5.28442e21 | −0.753959 | ||||||||
\(819\) | 1.39031e21 | − | 1.89187e21i | 0.196554 | − | 0.267462i | ||||
\(820\) | −3.19147e21 | −0.447082 | ||||||||
\(821\) | 5.56594e20 | + | 9.64049e20i | 0.0772618 | + | 0.133821i | 0.902068 | − | 0.431595i | \(-0.142049\pi\) |
−0.824806 | + | 0.565416i | \(0.808716\pi\) | |||||||
\(822\) | 1.48504e21 | − | 2.57216e21i | 0.204267 | − | 0.353801i | ||||
\(823\) | 1.28692e21 | − | 2.22900e21i | 0.175409 | − | 0.303817i | −0.764894 | − | 0.644156i | \(-0.777209\pi\) |
0.940303 | + | 0.340339i | \(0.110542\pi\) | |||||||
\(824\) | 1.84733e21 | + | 3.19968e21i | 0.249512 | + | 0.432168i | ||||
\(825\) | −8.22573e20 | −0.110096 | ||||||||
\(826\) | 4.85011e20 | + | 1.10549e21i | 0.0643282 | + | 0.146624i | ||||
\(827\) | 6.60185e21 | 0.867709 | 0.433854 | − | 0.900983i | \(-0.357153\pi\) | ||||
0.433854 | + | 0.900983i | \(0.357153\pi\) | |||||||
\(828\) | 4.68932e20 | + | 8.12215e20i | 0.0610777 | + | 0.105790i | ||||
\(829\) | −6.35583e21 | + | 1.10086e22i | −0.820376 | + | 1.42093i | 0.0850259 | + | 0.996379i | \(0.472903\pi\) |
−0.905402 | + | 0.424555i | \(0.860431\pi\) | |||||||
\(830\) | −3.90357e20 | + | 6.76118e20i | −0.0499317 | + | 0.0864842i | ||||
\(831\) | −2.45610e19 | − | 4.25408e19i | −0.00311342 | − | 0.00539260i | ||||
\(832\) | −6.47199e20 | −0.0813042 | ||||||||
\(833\) | 1.24899e21 | + | 3.99118e21i | 0.155496 | + | 0.496894i | ||||
\(834\) | −4.53130e21 | −0.559084 | ||||||||
\(835\) | 4.95522e21 | + | 8.58269e21i | 0.605919 | + | 1.04948i | ||||
\(836\) | −1.51178e20 | + | 2.61848e20i | −0.0183207 | + | 0.0317323i | ||||
\(837\) | 2.17265e21 | − | 3.76315e21i | 0.260945 | − | 0.451971i | ||||
\(838\) | 2.77332e21 | + | 4.80354e21i | 0.330119 | + | 0.571783i | ||||
\(839\) | −1.09034e22 | −1.28631 | −0.643155 | − | 0.765736i | \(-0.722375\pi\) | ||||
−0.643155 | + | 0.765736i | \(0.722375\pi\) | |||||||
\(840\) | 5.47115e20 | + | 1.24705e21i | 0.0639711 | + | 0.145810i | ||||
\(841\) | 1.40510e22 | 1.62831 | ||||||||
\(842\) | −3.38731e20 | − | 5.86699e20i | −0.0389058 | − | 0.0673868i | ||||
\(843\) | −1.49831e21 | + | 2.59514e21i | −0.170567 | + | 0.295430i | ||||
\(844\) | −1.32000e21 | + | 2.28631e21i | −0.148938 | + | 0.257968i | ||||
\(845\) | −1.66004e21 | − | 2.87527e21i | −0.185649 | − | 0.321554i | ||||
\(846\) | −4.29836e21 | −0.476458 | ||||||||
\(847\) | −5.00111e21 | + | 6.80529e21i | −0.549466 | + | 0.747690i | ||||
\(848\) | 2.22626e21 | 0.242442 | ||||||||
\(849\) | −5.53840e21 | − | 9.59280e21i | −0.597829 | − | 1.03547i | ||||
\(850\) | 1.00788e21 | − | 1.74571e21i | 0.107837 | − | 0.186780i | ||||
\(851\) | 1.29042e21 | − | 2.23507e21i | 0.136854 | − | 0.237039i | ||||
\(852\) | 7.14932e20 | + | 1.23830e21i | 0.0751567 | + | 0.130175i | ||||
\(853\) | −1.68210e22 | −1.75281 | −0.876406 | − | 0.481573i | \(-0.840066\pi\) | ||||
−0.876406 | + | 0.481573i | \(0.840066\pi\) | |||||||
\(854\) | 4.05793e21 | + | 4.48831e20i | 0.419151 | + | 0.0463605i | ||||
\(855\) | 8.75240e20 | 0.0896151 | ||||||||
\(856\) | −2.29571e21 | − | 3.97629e21i | −0.233004 | − | 0.403575i | ||||
\(857\) | 6.05907e21 | − | 1.04946e22i | 0.609606 | − | 1.05587i | −0.381699 | − | 0.924287i | \(-0.624661\pi\) |
0.991305 | − | 0.131583i | \(-0.0420058\pi\) | |||||||
\(858\) | −4.33331e20 | + | 7.50550e20i | −0.0432180 | + | 0.0748558i | ||||
\(859\) | −2.79566e21 | − | 4.84223e21i | −0.276399 | − | 0.478736i | 0.694088 | − | 0.719890i | \(-0.255808\pi\) |
−0.970487 | + | 0.241153i | \(0.922474\pi\) | |||||||
\(860\) | −4.14757e21 | −0.406496 | ||||||||
\(861\) | −9.94648e21 | − | 1.10014e21i | −0.966375 | − | 0.106887i | ||||
\(862\) | 1.17402e21 | 0.113076 | ||||||||
\(863\) | −3.41028e21 | − | 5.90679e21i | −0.325619 | − | 0.563989i | 0.656018 | − | 0.754745i | \(-0.272239\pi\) |
−0.981637 | + | 0.190756i | \(0.938906\pi\) | |||||||
\(864\) | −9.86906e20 | + | 1.70937e21i | −0.0934164 | + | 0.161802i | ||||
\(865\) | 6.24245e21 | − | 1.08122e22i | 0.585780 | − | 1.01460i | ||||
\(866\) | 4.28271e21 | + | 7.41786e21i | 0.398414 | + | 0.690073i | ||||
\(867\) | −5.53077e21 | −0.510085 | ||||||||
\(868\) | 1.59908e21 | − | 2.17596e21i | 0.146209 | − | 0.198954i | ||||
\(869\) | −3.14752e21 | −0.285312 | ||||||||
\(870\) | 2.87242e21 | + | 4.97517e21i | 0.258139 | + | 0.447109i | ||||
\(871\) | 4.71601e21 | − | 8.16837e21i | 0.420183 | − | 0.727779i | ||||
\(872\) | 1.82361e21 | − | 3.15859e21i | 0.161087 | − | 0.279010i | ||||
\(873\) | −4.33624e21 | − | 7.51059e21i | −0.379758 | − | 0.657760i | ||||
\(874\) | −1.06388e21 | −0.0923759 | ||||||||
\(875\) | 4.76298e21 | + | 1.08563e22i | 0.410032 | + | 0.934594i | ||||
\(876\) | −5.82568e21 | −0.497240 | ||||||||
\(877\) | −8.30398e20 | − | 1.43829e21i | −0.0702731 | − | 0.121717i | 0.828748 | − | 0.559622i | \(-0.189054\pi\) |
−0.899021 | + | 0.437906i | \(0.855720\pi\) | |||||||
\(878\) | 5.96638e21 | − | 1.03341e22i | 0.500613 | − | 0.867087i | ||||
\(879\) | 5.54109e20 | − | 9.59745e20i | 0.0460976 | − | 0.0798435i | ||||
\(880\) | 2.61920e20 | + | 4.53658e20i | 0.0216047 | + | 0.0374204i | ||||
\(881\) | −7.78379e21 | −0.636607 | −0.318304 | − | 0.947989i | \(-0.603113\pi\) | ||||
−0.318304 | + | 0.947989i | \(0.603113\pi\) | |||||||
\(882\) | −1.32891e21 | − | 4.24658e21i | −0.107766 | − | 0.344370i | ||||
\(883\) | 4.32083e21 | 0.347426 | 0.173713 | − | 0.984796i | \(-0.444424\pi\) | ||||
0.173713 | + | 0.984796i | \(0.444424\pi\) | |||||||
\(884\) | −1.06191e21 | − | 1.83927e21i | −0.0846631 | − | 0.146641i | ||||
\(885\) | −6.44987e20 | + | 1.11715e21i | −0.0509890 | + | 0.0883155i | ||||
\(886\) | −4.76913e21 | + | 8.26037e21i | −0.373840 | + | 0.647510i | ||||
\(887\) | −1.77038e21 | − | 3.06638e21i | −0.137606 | − | 0.238341i | 0.788984 | − | 0.614414i | \(-0.210608\pi\) |
−0.926590 | + | 0.376073i | \(0.877274\pi\) | |||||||
\(888\) | 1.83523e21 | 0.141447 | ||||||||
\(889\) | 2.08221e21 | + | 4.74602e21i | 0.159134 | + | 0.362716i | ||||
\(890\) | −4.00791e20 | −0.0303733 | ||||||||
\(891\) | 4.09712e20 | + | 7.09642e20i | 0.0307890 | + | 0.0533282i | ||||
\(892\) | −6.10303e21 | + | 1.05708e22i | −0.454788 | + | 0.787716i | ||||
\(893\) | 2.43796e21 | − | 4.22267e21i | 0.180153 | − | 0.312034i | ||||
\(894\) | 4.98987e21 | + | 8.64270e21i | 0.365643 | + | 0.633313i | ||||
\(895\) | −1.19550e21 | −0.0868713 | ||||||||
\(896\) | −7.26367e20 | + | 9.88409e20i | −0.0523415 | + | 0.0712241i | ||||
\(897\) | −3.04948e21 | −0.217913 | ||||||||
\(898\) | 2.75885e21 | + | 4.77847e21i | 0.195504 | + | 0.338623i | ||||
\(899\) | 5.69584e21 | − | 9.86549e21i | 0.400277 | − | 0.693300i | ||||
\(900\) | −1.07238e21 | + | 1.85742e21i | −0.0747361 | + | 0.129447i | ||||
\(901\) | 3.65279e21 | + | 6.32682e21i | 0.252458 | + | 0.437270i | ||||
\(902\) | −3.84945e21 | −0.263846 | ||||||||
\(903\) | −1.29262e22 | − | 1.42972e21i | −0.878647 | − | 0.0971835i | ||||
\(904\) | −5.13795e21 | −0.346359 | ||||||||
\(905\) | 5.21551e21 | + | 9.03353e21i | 0.348685 | + | 0.603939i | ||||
\(906\) | 3.52636e21 | − | 6.10783e21i | 0.233811 | − | 0.404973i | ||||
\(907\) | −6.12553e21 | + | 1.06097e22i | −0.402800 | + | 0.697670i | −0.994063 | − | 0.108809i | \(-0.965296\pi\) |
0.591263 | + | 0.806479i | \(0.298630\pi\) | |||||||
\(908\) | 3.81338e21 | + | 6.60496e21i | 0.248694 | + | 0.430751i | ||||
\(909\) | 4.85935e20 | 0.0314304 | ||||||||
\(910\) | 4.58620e21 | + | 5.07261e20i | 0.294200 | + | 0.0325403i | ||||
\(911\) | 1.14854e22 | 0.730734 | 0.365367 | − | 0.930864i | \(-0.380944\pi\) | ||||
0.365367 | + | 0.930864i | \(0.380944\pi\) | |||||||
\(912\) | −3.78263e20 | − | 6.55171e20i | −0.0238689 | − | 0.0413422i | ||||
\(913\) | −4.70835e20 | + | 8.15511e20i | −0.0294672 | + | 0.0510386i | ||||
\(914\) | 5.39876e21 | − | 9.35093e21i | 0.335118 | − | 0.580441i | ||||
\(915\) | 2.18129e21 | + | 3.77810e21i | 0.134293 | + | 0.232603i | ||||
\(916\) | −1.41187e21 | −0.0862142 | ||||||||
\(917\) | −6.12173e21 | + | 8.33019e21i | −0.370770 | + | 0.504528i | ||||
\(918\) | −6.47715e21 | −0.389102 | ||||||||
\(919\) | −2.86805e20 | − | 4.96760e20i | −0.0170891 | − | 0.0295992i | 0.857354 | − | 0.514727i | \(-0.172107\pi\) |
−0.874444 | + | 0.485127i | \(0.838773\pi\) | |||||||
\(920\) | −9.21604e20 | + | 1.59626e21i | −0.0544673 | + | 0.0943401i | ||||
\(921\) | 6.27137e21 | − | 1.08623e22i | 0.367634 | − | 0.636760i | ||||
\(922\) | 7.59591e21 | + | 1.31565e22i | 0.441670 | + | 0.764995i | ||||
\(923\) | 4.84484e21 | 0.279426 | ||||||||
\(924\) | 6.59911e20 | + | 1.50415e21i | 0.0377525 | + | 0.0860499i | ||||
\(925\) | 5.90201e21 | 0.334917 | ||||||||
\(926\) | −6.51080e21 | − | 1.12770e22i | −0.366481 | − | 0.634764i | ||||
\(927\) | 6.45004e21 | − | 1.11718e22i | 0.360134 | − | 0.623770i | ||||
\(928\) | −2.58728e21 | + | 4.48130e21i | −0.143296 | + | 0.248196i | ||||
\(929\) | 9.97428e21 | + | 1.72760e22i | 0.547979 | + | 0.949127i | 0.998413 | + | 0.0563172i | \(0.0179358\pi\) |
−0.450434 | + | 0.892810i | \(0.648731\pi\) | |||||||
\(930\) | 2.88548e21 | 0.157252 | ||||||||
\(931\) | 4.92555e21 | + | 1.10308e21i | 0.266276 | + | 0.0596329i | ||||
\(932\) | 9.10092e21 | 0.488052 | ||||||||
\(933\) | 5.28243e21 | + | 9.14943e21i | 0.281010 | + | 0.486723i | ||||
\(934\) | 4.17157e21 | − | 7.22537e21i | 0.220140 | − | 0.381293i | ||||
\(935\) | −8.59500e20 | + | 1.48870e21i | −0.0449944 | + | 0.0779326i | ||||
\(936\) | 1.12986e21 | + | 1.95697e21i | 0.0586753 | + | 0.101629i | ||||
\(937\) | 2.11441e22 | 1.08929 | 0.544644 | − | 0.838667i | \(-0.316665\pi\) | ||||
0.544644 | + | 0.838667i | \(0.316665\pi\) | |||||||
\(938\) | −7.18193e21 | − | 1.63699e22i | −0.367045 | − | 0.836613i | ||||
\(939\) | 1.30446e21 | 0.0661361 | ||||||||
\(940\) | −4.22383e21 | − | 7.31589e21i | −0.212446 | − | 0.367967i | ||||
\(941\) | −4.75586e21 | + | 8.23738e21i | −0.237305 | + | 0.411024i | −0.959940 | − | 0.280206i | \(-0.909597\pi\) |
0.722635 | + | 0.691230i | \(0.242931\pi\) | |||||||
\(942\) | 3.34528e21 | − | 5.79419e21i | 0.165596 | − | 0.286821i | ||||
\(943\) | −6.77244e21 | − | 1.17302e22i | −0.332589 | − | 0.576060i | ||||
\(944\) | −1.16192e21 | −0.0566092 | ||||||||
\(945\) | 8.33322e21 | − | 1.13395e22i | 0.402786 | − | 0.548094i | ||||
\(946\) | −5.00267e21 | −0.239893 | ||||||||
\(947\) | −3.62886e21 | − | 6.28537e21i | −0.172642 | − | 0.299024i | 0.766701 | − | 0.642004i | \(-0.221897\pi\) |
−0.939343 | + | 0.342980i | \(0.888564\pi\) | |||||||
\(948\) | 3.93771e21 | − | 6.82031e21i | 0.185858 | − | 0.321915i | ||||
\(949\) | −9.86965e21 | + | 1.70947e22i | −0.462174 | + | 0.800508i | ||||
\(950\) | −1.21648e21 | − | 2.10700e21i | −0.0565167 | − | 0.0978898i | ||||
\(951\) | 7.30963e21 | 0.336931 | ||||||||
\(952\) | −4.00076e21 | − | 4.42508e20i | −0.182964 | − | 0.0202369i | ||||
\(953\) | 2.72531e22 | 1.23657 | 0.618286 | − | 0.785953i | \(-0.287827\pi\) | ||||
0.618286 | + | 0.785953i | \(0.287827\pi\) | |||||||
\(954\) | −3.88654e21 | − | 6.73168e21i | −0.174965 | − | 0.303048i | ||||
\(955\) | −8.97802e21 | + | 1.55504e22i | −0.401010 | + | 0.694570i | ||||
\(956\) | −2.06161e21 | + | 3.57082e21i | −0.0913635 | + | 0.158246i | ||||
\(957\) | 3.46461e21 | + | 6.00088e21i | 0.152340 | + | 0.263861i | ||||
\(958\) | 7.35649e21 | 0.320944 | ||||||||
\(959\) | −1.89574e22 | − | 2.09680e21i | −0.820615 | − | 0.0907649i | ||||
\(960\) | −1.31070e21 | −0.0562949 | ||||||||
\(961\) | 8.87176e21 | + | 1.53663e22i | 0.378080 | + | 0.654855i | ||||
\(962\) | 3.10917e21 | − | 5.38525e21i | 0.131472 | − | 0.227716i | ||||
\(963\) | −8.01555e21 | + | 1.38833e22i | −0.336307 | + | 0.582501i | ||||
\(964\) | −1.88743e21 | − | 3.26913e21i | −0.0785767 | − | 0.136099i | ||||
\(965\) | −2.54958e22 | −1.05321 | ||||||||
\(966\) | −3.42250e21 | + | 4.65720e21i | −0.140286 | + | 0.190896i | ||||
\(967\) | −1.13331e22 | −0.460948 | −0.230474 | − | 0.973078i | \(-0.574028\pi\) | ||||
−0.230474 | + | 0.973078i | \(0.574028\pi\) | |||||||
\(968\) | −4.06424e21 | − | 7.03948e21i | −0.164027 | − | 0.284103i | ||||
\(969\) | 1.24129e21 | − | 2.14997e21i | 0.0497100 | − | 0.0861002i | ||||
\(970\) | 8.52212e21 | − | 1.47607e22i | 0.338657 | − | 0.586570i | ||||
\(971\) | −1.47245e22 | − | 2.55036e22i | −0.580626 | − | 1.00567i | −0.995405 | − | 0.0957521i | \(-0.969474\pi\) |
0.414779 | − | 0.909922i | \(-0.363859\pi\) | |||||||
\(972\) | 1.14547e22 | 0.448216 | ||||||||
\(973\) | 1.16908e22 | + | 2.66470e22i | 0.453939 | + | 1.03467i | ||||
\(974\) | −3.60625e21 | −0.138952 | ||||||||
\(975\) | −3.48686e21 | − | 6.03942e21i | −0.133322 | − | 0.230920i | ||||
\(976\) | −1.96476e21 | + | 3.40306e21i | −0.0745479 | + | 0.129121i | ||||
\(977\) | 2.34167e21 | − | 4.05590e21i | 0.0881692 | − | 0.152714i | −0.818568 | − | 0.574410i | \(-0.805232\pi\) |
0.906737 | + | 0.421696i | \(0.138565\pi\) | |||||||
\(978\) | −7.78551e21 | − | 1.34849e22i | −0.290901 | − | 0.503856i | ||||
\(979\) | −4.83420e20 | −0.0179248 | ||||||||
\(980\) | 5.92190e21 | − | 6.43479e21i | 0.217904 | − | 0.236777i | ||||
\(981\) | −1.27344e22 | −0.465010 | ||||||||
\(982\) | 1.53556e22 | + | 2.65966e22i | 0.556455 | + | 0.963808i | ||||
\(983\) | −6.14253e21 | + | 1.06392e22i | −0.220900 | + | 0.382610i | −0.955082 | − | 0.296343i | \(-0.904233\pi\) |
0.734181 | + | 0.678953i | \(0.237566\pi\) | |||||||
\(984\) | 4.81587e21 | − | 8.34133e21i | 0.171874 | − | 0.297695i | ||||
\(985\) | −1.65391e22 | − | 2.86466e22i | −0.585789 | − | 1.01462i | ||||
\(986\) | −1.69805e22 | −0.596863 | ||||||||
\(987\) | −1.06420e22 | − | 2.42566e22i | −0.371232 | − | 0.846156i | ||||
\(988\) | −2.56335e21 | −0.0887425 | ||||||||
\(989\) | −8.80132e21 | − | 1.52443e22i | −0.302396 | − | 0.523765i | ||||
\(990\) | 9.14501e20 | − | 1.58396e21i | 0.0311832 | − | 0.0540108i | ||||
\(991\) | −2.38724e22 | + | 4.13482e22i | −0.807873 | + | 1.39928i | 0.106461 | + | 0.994317i | \(0.466048\pi\) |
−0.914334 | + | 0.404961i | \(0.867285\pi\) | |||||||
\(992\) | 1.29952e21 | + | 2.25084e21i | 0.0436462 | + | 0.0755975i | ||||
\(993\) | 3.44844e22 | 1.14949 | ||||||||
\(994\) | 5.43748e21 | − | 7.39909e21i | 0.179887 | − | 0.244783i | ||||
\(995\) | −2.29420e22 | −0.753281 | ||||||||
\(996\) | −1.17808e21 | − | 2.04049e21i | −0.0383910 | − | 0.0664952i | ||||
\(997\) | −1.07692e22 | + | 1.86529e22i | −0.348314 | + | 0.603298i | −0.985950 | − | 0.167040i | \(-0.946579\pi\) |
0.637636 | + | 0.770338i | \(0.279912\pi\) | |||||||
\(998\) | −1.74990e22 | + | 3.03092e22i | −0.561740 | + | 0.972962i | ||||
\(999\) | −9.48228e21 | − | 1.64238e22i | −0.302115 | − | 0.523278i |
(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 | 14.16.c.b.11.2 | yes | 10 | |
3.2 | odd | 2 | 126.16.g.c.109.2 | 10 | |||
7.2 | even | 3 | inner | 14.16.c.b.9.2 | ✓ | 10 | |
7.3 | odd | 6 | 98.16.a.i.1.2 | 5 | |||
7.4 | even | 3 | 98.16.a.h.1.4 | 5 | |||
7.5 | odd | 6 | 98.16.c.n.79.4 | 10 | |||
7.6 | odd | 2 | 98.16.c.n.67.4 | 10 | |||
21.2 | odd | 6 | 126.16.g.c.37.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.16.c.b.9.2 | ✓ | 10 | 7.2 | even | 3 | inner | |
14.16.c.b.11.2 | yes | 10 | 1.1 | even | 1 | trivial | |
98.16.a.h.1.4 | 5 | 7.4 | even | 3 | |||
98.16.a.i.1.2 | 5 | 7.3 | odd | 6 | |||
98.16.c.n.67.4 | 10 | 7.6 | odd | 2 | |||
98.16.c.n.79.4 | 10 | 7.5 | odd | 6 | |||
126.16.g.c.37.2 | 10 | 21.2 | odd | 6 | |||
126.16.g.c.109.2 | 10 | 3.2 | odd | 2 |