Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.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: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 104960 x^{14} - 3899480 x^{13} + 8040649724 x^{12} - 270026959304 x^{11} + \cdots + 13\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3^{5}\cdot 19^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(26.7983 - 46.4161i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.10.c.b.7.4 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.00000 | + | 13.8564i | −0.353553 | + | 0.612372i | ||||
\(3\) | −22.2983 | + | 38.6218i | −0.158938 | + | 0.275288i | −0.934486 | − | 0.356000i | \(-0.884140\pi\) |
0.775548 | + | 0.631288i | \(0.217474\pi\) | |||||||
\(4\) | −128.000 | − | 221.703i | −0.250000 | − | 0.433013i | ||||
\(5\) | 397.433 | − | 688.374i | 0.284380 | − | 0.492560i | −0.688079 | − | 0.725636i | \(-0.741546\pi\) |
0.972459 | + | 0.233076i | \(0.0748790\pi\) | |||||||
\(6\) | −356.773 | − | 617.949i | −0.112386 | − | 0.194658i | ||||
\(7\) | 2271.77 | 0.357621 | 0.178810 | − | 0.983884i | \(-0.442775\pi\) | ||||
0.178810 | + | 0.983884i | \(0.442775\pi\) | |||||||
\(8\) | 4096.00 | 0.353553 | ||||||||
\(9\) | 8847.07 | + | 15323.6i | 0.449478 | + | 0.778518i | ||||
\(10\) | 6358.93 | + | 11014.0i | 0.201087 | + | 0.348293i | ||||
\(11\) | −84129.7 | −1.73254 | −0.866268 | − | 0.499580i | \(-0.833488\pi\) | ||||
−0.866268 | + | 0.499580i | \(0.833488\pi\) | |||||||
\(12\) | 11416.7 | 0.158938 | ||||||||
\(13\) | 46416.7 | + | 80396.1i | 0.450743 | + | 0.780711i | 0.998432 | − | 0.0559715i | \(-0.0178256\pi\) |
−0.547689 | + | 0.836682i | \(0.684492\pi\) | |||||||
\(14\) | −18174.2 | + | 31478.6i | −0.126438 | + | 0.218997i | ||||
\(15\) | 17724.2 | + | 30699.2i | 0.0903973 | + | 0.156573i | ||||
\(16\) | −32768.0 | + | 56755.8i | −0.125000 | + | 0.216506i | ||||
\(17\) | 109662. | − | 189940.i | 0.318445 | − | 0.551564i | −0.661718 | − | 0.749752i | \(-0.730173\pi\) |
0.980164 | + | 0.198189i | \(0.0635059\pi\) | |||||||
\(18\) | −283106. | −0.635657 | ||||||||
\(19\) | −547155. | + | 152672.i | −0.963207 | + | 0.268762i | ||||
\(20\) | −203486. | −0.284380 | ||||||||
\(21\) | −50656.7 | + | 87739.9i | −0.0568394 | + | 0.0984488i | ||||
\(22\) | 673037. | − | 1.16573e6i | 0.612544 | − | 1.06096i | ||||
\(23\) | −664676. | − | 1.15125e6i | −0.495261 | − | 0.857818i | 0.504724 | − | 0.863281i | \(-0.331594\pi\) |
−0.999985 | + | 0.00546299i | \(0.998261\pi\) | |||||||
\(24\) | −91333.9 | + | 158195.i | −0.0561929 | + | 0.0973290i | ||||
\(25\) | 660656. | + | 1.14429e6i | 0.338256 | + | 0.585877i | ||||
\(26\) | −1.48534e6 | −0.637447 | ||||||||
\(27\) | −1.66690e6 | −0.603631 | ||||||||
\(28\) | −290786. | − | 503657.i | −0.0894052 | − | 0.154854i | ||||
\(29\) | −3.09534e6 | − | 5.36129e6i | −0.812677 | − | 1.40760i | −0.910984 | − | 0.412442i | \(-0.864676\pi\) |
0.0983071 | − | 0.995156i | \(-0.468657\pi\) | |||||||
\(30\) | −567174. | −0.127841 | ||||||||
\(31\) | −6.00995e6 | −1.16881 | −0.584404 | − | 0.811463i | \(-0.698672\pi\) | ||||
−0.584404 | + | 0.811463i | \(0.698672\pi\) | |||||||
\(32\) | −524288. | − | 908093.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.87595e6 | − | 3.24924e6i | 0.275365 | − | 0.476946i | ||||
\(34\) | 1.75459e6 | + | 3.03903e6i | 0.225175 | + | 0.390014i | ||||
\(35\) | 902876. | − | 1.56383e6i | 0.101700 | − | 0.176150i | ||||
\(36\) | 2.26485e6 | − | 3.92283e6i | 0.224739 | − | 0.389259i | ||||
\(37\) | −1.63924e7 | −1.43792 | −0.718962 | − | 0.695050i | \(-0.755382\pi\) | ||||
−0.718962 | + | 0.695050i | \(0.755382\pi\) | |||||||
\(38\) | 2.26176e6 | − | 8.80298e6i | 0.175963 | − | 0.684863i | ||||
\(39\) | −4.14006e6 | −0.286560 | ||||||||
\(40\) | 1.62789e6 | − | 2.81958e6i | 0.100543 | − | 0.174146i | ||||
\(41\) | −1.66162e7 | + | 2.87801e7i | −0.918343 | + | 1.59062i | −0.116411 | + | 0.993201i | \(0.537139\pi\) |
−0.801932 | + | 0.597415i | \(0.796194\pi\) | |||||||
\(42\) | −810506. | − | 1.40384e6i | −0.0401915 | − | 0.0696138i | ||||
\(43\) | 1.35866e7 | − | 2.35328e7i | 0.606044 | − | 1.04970i | −0.385841 | − | 0.922565i | \(-0.626089\pi\) |
0.991886 | − | 0.127134i | \(-0.0405778\pi\) | |||||||
\(44\) | 1.07686e7 | + | 1.86518e7i | 0.433134 | + | 0.750210i | ||||
\(45\) | 1.40645e7 | 0.511290 | ||||||||
\(46\) | 2.12696e7 | 0.700405 | ||||||||
\(47\) | 1.42582e7 | + | 2.46960e7i | 0.426212 | + | 0.738221i | 0.996533 | − | 0.0832014i | \(-0.0265145\pi\) |
−0.570321 | + | 0.821422i | \(0.693181\pi\) | |||||||
\(48\) | −1.46134e6 | − | 2.53112e6i | −0.0397344 | − | 0.0688220i | ||||
\(49\) | −3.51927e7 | −0.872107 | ||||||||
\(50\) | −2.11410e7 | −0.478366 | ||||||||
\(51\) | 4.89055e6 | + | 8.47067e6i | 0.101226 | + | 0.175328i | ||||
\(52\) | 1.18827e7 | − | 2.05814e7i | 0.225372 | − | 0.390355i | ||||
\(53\) | 2.57615e7 | + | 4.46202e7i | 0.448466 | + | 0.776767i | 0.998286 | − | 0.0585165i | \(-0.0186370\pi\) |
−0.549820 | + | 0.835283i | \(0.685304\pi\) | |||||||
\(54\) | 1.33352e7 | − | 2.30972e7i | 0.213416 | − | 0.369647i | ||||
\(55\) | −3.34359e7 | + | 5.79127e7i | −0.492698 | + | 0.853378i | ||||
\(56\) | 9.30517e6 | 0.126438 | ||||||||
\(57\) | 6.30418e6 | − | 2.45365e7i | 0.0791028 | − | 0.307876i | ||||
\(58\) | 9.90510e7 | 1.14930 | ||||||||
\(59\) | 1.03853e7 | − | 1.79879e7i | 0.111580 | − | 0.193262i | −0.804828 | − | 0.593509i | \(-0.797742\pi\) |
0.916407 | + | 0.400247i | \(0.131076\pi\) | |||||||
\(60\) | 4.53739e6 | − | 7.85899e6i | 0.0451987 | − | 0.0782864i | ||||
\(61\) | 6.82410e7 | + | 1.18197e8i | 0.631046 | + | 1.09300i | 0.987338 | + | 0.158629i | \(0.0507074\pi\) |
−0.356292 | + | 0.934375i | \(0.615959\pi\) | |||||||
\(62\) | 4.80796e7 | − | 8.32763e7i | 0.413236 | − | 0.715746i | ||||
\(63\) | 2.00985e7 | + | 3.48116e7i | 0.160743 | + | 0.278414i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | 7.37902e7 | 0.512730 | ||||||||
\(66\) | 3.00152e7 | + | 5.19879e7i | 0.194712 | + | 0.337252i | ||||
\(67\) | −1.50872e8 | − | 2.61318e8i | −0.914686 | − | 1.58428i | −0.807360 | − | 0.590059i | \(-0.799105\pi\) |
−0.107326 | − | 0.994224i | \(-0.534229\pi\) | |||||||
\(68\) | −5.61468e7 | −0.318445 | ||||||||
\(69\) | 5.92846e7 | 0.314863 | ||||||||
\(70\) | 1.44460e7 | + | 2.50212e7i | 0.0719129 | + | 0.124557i | ||||
\(71\) | 3.31075e6 | − | 5.73440e6i | 0.0154620 | − | 0.0267809i | −0.858191 | − | 0.513331i | \(-0.828411\pi\) |
0.873653 | + | 0.486550i | \(0.161745\pi\) | |||||||
\(72\) | 3.62376e7 | + | 6.27654e7i | 0.158914 | + | 0.275248i | ||||
\(73\) | −7.50471e7 | + | 1.29985e8i | −0.309301 | + | 0.535725i | −0.978210 | − | 0.207620i | \(-0.933428\pi\) |
0.668909 | + | 0.743345i | \(0.266762\pi\) | |||||||
\(74\) | 1.31140e8 | − | 2.27140e8i | 0.508383 | − | 0.880545i | ||||
\(75\) | −5.89261e7 | −0.215046 | ||||||||
\(76\) | 1.03884e8 | + | 1.01764e8i | 0.357179 | + | 0.349890i | ||||
\(77\) | −1.91123e8 | −0.619591 | ||||||||
\(78\) | 3.31205e7 | − | 5.73664e7i | 0.101314 | − | 0.175482i | ||||
\(79\) | −1.70964e8 | + | 2.96119e8i | −0.493837 | + | 0.855351i | −0.999975 | − | 0.00710155i | \(-0.997739\pi\) |
0.506138 | + | 0.862453i | \(0.331073\pi\) | |||||||
\(80\) | 2.60462e7 | + | 4.51133e7i | 0.0710950 | + | 0.123140i | ||||
\(81\) | −1.36968e8 | + | 2.37235e8i | −0.353538 | + | 0.612346i | ||||
\(82\) | −2.65860e8 | − | 4.60482e8i | −0.649367 | − | 1.12474i | ||||
\(83\) | −2.01520e8 | −0.466088 | −0.233044 | − | 0.972466i | \(-0.574869\pi\) | ||||
−0.233044 | + | 0.972466i | \(0.574869\pi\) | |||||||
\(84\) | 2.59362e7 | 0.0568394 | ||||||||
\(85\) | −8.71664e7 | − | 1.50977e8i | −0.181119 | − | 0.313707i | ||||
\(86\) | 2.17386e8 | + | 3.76524e8i | 0.428538 | + | 0.742249i | ||||
\(87\) | 2.76084e8 | 0.516660 | ||||||||
\(88\) | −3.44595e8 | −0.612544 | ||||||||
\(89\) | −2.15640e8 | − | 3.73500e8i | −0.364313 | − | 0.631009i | 0.624352 | − | 0.781143i | \(-0.285363\pi\) |
−0.988666 | + | 0.150133i | \(0.952030\pi\) | |||||||
\(90\) | −1.12516e8 | + | 1.94883e8i | −0.180768 | + | 0.313100i | ||||
\(91\) | 1.05448e8 | + | 1.82641e8i | 0.161195 | + | 0.279198i | ||||
\(92\) | −1.70157e8 | + | 2.94721e8i | −0.247631 | + | 0.428909i | ||||
\(93\) | 1.34012e8 | − | 2.32115e8i | 0.185768 | − | 0.321759i | ||||
\(94\) | −4.56264e8 | −0.602755 | ||||||||
\(95\) | −1.12362e8 | + | 4.37324e8i | −0.141535 | + | 0.550868i | ||||
\(96\) | 4.67630e7 | 0.0561929 | ||||||||
\(97\) | 1.72663e8 | − | 2.99060e8i | 0.198028 | − | 0.342994i | −0.749861 | − | 0.661595i | \(-0.769880\pi\) |
0.947889 | + | 0.318601i | \(0.103213\pi\) | |||||||
\(98\) | 2.81541e8 | − | 4.87644e8i | 0.308336 | − | 0.534054i | ||||
\(99\) | −7.44301e8 | − | 1.28917e9i | −0.778736 | − | 1.34881i | ||||
\(100\) | 1.69128e8 | − | 2.92938e8i | 0.169128 | − | 0.292938i | ||||
\(101\) | −6.97837e8 | − | 1.20869e9i | −0.667279 | − | 1.15576i | −0.978662 | − | 0.205477i | \(-0.934126\pi\) |
0.311383 | − | 0.950285i | \(-0.399208\pi\) | |||||||
\(102\) | −1.56497e8 | −0.143155 | ||||||||
\(103\) | −3.46485e8 | −0.303331 | −0.151666 | − | 0.988432i | \(-0.548464\pi\) | ||||
−0.151666 | + | 0.988432i | \(0.548464\pi\) | |||||||
\(104\) | 1.90123e8 | + | 3.29303e8i | 0.159362 | + | 0.276023i | ||||
\(105\) | 4.02653e7 | + | 6.97415e7i | 0.0323280 | + | 0.0559937i | ||||
\(106\) | −8.24368e8 | −0.634227 | ||||||||
\(107\) | 2.29453e9 | 1.69226 | 0.846131 | − | 0.532975i | \(-0.178926\pi\) | ||||
0.846131 | + | 0.532975i | \(0.178926\pi\) | |||||||
\(108\) | 2.13363e8 | + | 3.69555e8i | 0.150908 | + | 0.261380i | ||||
\(109\) | −7.23093e8 | + | 1.25243e9i | −0.490653 | + | 0.849837i | −0.999942 | − | 0.0107590i | \(-0.996575\pi\) |
0.509289 | + | 0.860596i | \(0.329909\pi\) | |||||||
\(110\) | −5.34975e8 | − | 9.26603e8i | −0.348390 | − | 0.603430i | ||||
\(111\) | 3.65524e8 | − | 6.33106e8i | 0.228540 | − | 0.395843i | ||||
\(112\) | −7.44413e7 | + | 1.28936e8i | −0.0447026 | + | 0.0774272i | ||||
\(113\) | 2.38248e9 | 1.37460 | 0.687301 | − | 0.726373i | \(-0.258796\pi\) | ||||
0.687301 | + | 0.726373i | \(0.258796\pi\) | |||||||
\(114\) | 2.89554e8 | + | 2.83645e8i | 0.160567 | + | 0.157291i | ||||
\(115\) | −1.05666e9 | −0.563370 | ||||||||
\(116\) | −7.92408e8 | + | 1.37249e9i | −0.406338 | + | 0.703799i | ||||
\(117\) | −8.21304e8 | + | 1.42254e9i | −0.405198 | + | 0.701824i | ||||
\(118\) | 1.66165e8 | + | 2.87806e8i | 0.0788988 | + | 0.136657i | ||||
\(119\) | 2.49126e8 | − | 4.31499e8i | 0.113883 | − | 0.197251i | ||||
\(120\) | 7.25983e7 | + | 1.25744e8i | 0.0319603 | + | 0.0553568i | ||||
\(121\) | 4.71985e9 | 2.00168 | ||||||||
\(122\) | −2.18371e9 | −0.892434 | ||||||||
\(123\) | −7.41028e8 | − | 1.28350e9i | −0.291918 | − | 0.505618i | ||||
\(124\) | 7.69274e8 | + | 1.33242e9i | 0.292202 | + | 0.506109i | ||||
\(125\) | 2.60274e9 | 0.953533 | ||||||||
\(126\) | −6.43152e8 | −0.227324 | ||||||||
\(127\) | 2.00742e9 | + | 3.47695e9i | 0.684733 | + | 1.18599i | 0.973521 | + | 0.228599i | \(0.0734146\pi\) |
−0.288787 | + | 0.957393i | \(0.593252\pi\) | |||||||
\(128\) | −1.34218e8 | + | 2.32472e8i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 6.05919e8 | + | 1.04948e9i | 0.192646 | + | 0.333673i | ||||
\(130\) | −5.90321e8 | + | 1.02247e9i | −0.181277 | + | 0.313981i | ||||
\(131\) | 1.56970e9 | − | 2.71880e9i | 0.465688 | − | 0.806596i | −0.533544 | − | 0.845772i | \(-0.679140\pi\) |
0.999232 | + | 0.0391765i | \(0.0124734\pi\) | |||||||
\(132\) | −9.60487e8 | −0.275365 | ||||||||
\(133\) | −1.24301e9 | + | 3.46835e8i | −0.344463 | + | 0.0961149i | ||||
\(134\) | 4.82790e9 | 1.29356 | ||||||||
\(135\) | −6.62479e8 | + | 1.14745e9i | −0.171660 | + | 0.297325i | ||||
\(136\) | 4.49174e8 | − | 7.77993e8i | 0.112587 | − | 0.195007i | ||||
\(137\) | 1.06682e9 | + | 1.84778e9i | 0.258730 | + | 0.448134i | 0.965902 | − | 0.258908i | \(-0.0833626\pi\) |
−0.707172 | + | 0.707042i | \(0.750029\pi\) | |||||||
\(138\) | −4.74277e8 | + | 8.21472e8i | −0.111321 | + | 0.192813i | ||||
\(139\) | 2.21257e9 | + | 3.83228e9i | 0.502725 | + | 0.870744i | 0.999995 | + | 0.00314890i | \(0.00100233\pi\) |
−0.497270 | + | 0.867596i | \(0.665664\pi\) | |||||||
\(140\) | −4.62273e8 | −0.101700 | ||||||||
\(141\) | −1.27174e9 | −0.270964 | ||||||||
\(142\) | 5.29721e7 | + | 9.17503e7i | 0.0109333 | + | 0.0189370i | ||||
\(143\) | −3.90502e9 | − | 6.76370e9i | −0.780929 | − | 1.35261i | ||||
\(144\) | −1.15960e9 | −0.224739 | ||||||||
\(145\) | −4.92077e9 | −0.924436 | ||||||||
\(146\) | −1.20075e9 | − | 2.07977e9i | −0.218709 | − | 0.378815i | ||||
\(147\) | 7.84738e8 | − | 1.35921e9i | 0.138611 | − | 0.240081i | ||||
\(148\) | 2.09823e9 | + | 3.63424e9i | 0.359481 | + | 0.622639i | ||||
\(149\) | 1.47933e9 | − | 2.56227e9i | 0.245882 | − | 0.425880i | −0.716497 | − | 0.697590i | \(-0.754256\pi\) |
0.962379 | + | 0.271710i | \(0.0875892\pi\) | |||||||
\(150\) | 4.71409e8 | − | 8.16504e8i | 0.0760304 | − | 0.131689i | ||||
\(151\) | −3.94299e9 | −0.617204 | −0.308602 | − | 0.951191i | \(-0.599861\pi\) | ||||
−0.308602 | + | 0.951191i | \(0.599861\pi\) | |||||||
\(152\) | −2.24115e9 | + | 6.25344e8i | −0.340545 | + | 0.0950217i | ||||
\(153\) | 3.88074e9 | 0.572536 | ||||||||
\(154\) | 1.52899e9 | − | 2.64828e9i | 0.219058 | − | 0.379420i | ||||
\(155\) | −2.38855e9 | + | 4.13710e9i | −0.332386 | + | 0.575709i | ||||
\(156\) | 5.29928e8 | + | 9.17862e8i | 0.0716401 | + | 0.124084i | ||||
\(157\) | 2.87518e9 | − | 4.97996e9i | 0.377674 | − | 0.654150i | −0.613049 | − | 0.790045i | \(-0.710057\pi\) |
0.990723 | + | 0.135894i | \(0.0433907\pi\) | |||||||
\(158\) | −2.73543e9 | − | 4.73791e9i | −0.349196 | − | 0.604825i | ||||
\(159\) | −2.29775e9 | −0.285113 | ||||||||
\(160\) | −8.33477e8 | −0.100543 | ||||||||
\(161\) | −1.50999e9 | − | 2.61538e9i | −0.177116 | − | 0.306774i | ||||
\(162\) | −2.19149e9 | − | 3.79577e9i | −0.249989 | − | 0.432994i | ||||
\(163\) | −1.27321e10 | −1.41271 | −0.706357 | − | 0.707856i | \(-0.749663\pi\) | ||||
−0.706357 | + | 0.707856i | \(0.749663\pi\) | |||||||
\(164\) | 8.50750e9 | 0.918343 | ||||||||
\(165\) | −1.49113e9 | − | 2.58271e9i | −0.156617 | − | 0.271268i | ||||
\(166\) | 1.61216e9 | − | 2.79235e9i | 0.164787 | − | 0.285419i | ||||
\(167\) | −2.88021e9 | − | 4.98866e9i | −0.286549 | − | 0.496318i | 0.686434 | − | 0.727192i | \(-0.259175\pi\) |
−0.972984 | + | 0.230874i | \(0.925842\pi\) | |||||||
\(168\) | −2.07490e8 | + | 3.59383e8i | −0.0200958 | + | 0.0348069i | ||||
\(169\) | 9.93225e8 | − | 1.72032e9i | 0.0936607 | − | 0.162225i | ||||
\(170\) | 2.78932e9 | 0.256141 | ||||||||
\(171\) | −7.18020e9 | − | 7.03368e9i | −0.642176 | − | 0.629071i | ||||
\(172\) | −6.95636e9 | −0.606044 | ||||||||
\(173\) | −7.13453e9 | + | 1.23574e10i | −0.605561 | + | 1.04886i | 0.386401 | + | 0.922331i | \(0.373718\pi\) |
−0.991963 | + | 0.126532i | \(0.959615\pi\) | |||||||
\(174\) | −2.20867e9 | + | 3.82553e9i | −0.182667 | + | 0.316388i | ||||
\(175\) | 1.50086e9 | + | 2.59956e9i | 0.120967 | + | 0.209522i | ||||
\(176\) | 2.75676e9 | − | 4.77485e9i | 0.216567 | − | 0.375105i | ||||
\(177\) | 4.63150e8 | + | 8.02199e8i | 0.0354684 | + | 0.0614331i | ||||
\(178\) | 6.90049e9 | 0.515217 | ||||||||
\(179\) | 8.80958e9 | 0.641382 | 0.320691 | − | 0.947184i | \(-0.396085\pi\) | ||||
0.320691 | + | 0.947184i | \(0.396085\pi\) | |||||||
\(180\) | −1.80025e9 | − | 3.11813e9i | −0.127822 | − | 0.221395i | ||||
\(181\) | 7.05952e9 | + | 1.22275e10i | 0.488902 | + | 0.846803i | 0.999918 | − | 0.0127677i | \(-0.00406421\pi\) |
−0.511016 | + | 0.859571i | \(0.670731\pi\) | |||||||
\(182\) | −3.37434e9 | −0.227965 | ||||||||
\(183\) | −6.08664e9 | −0.401188 | ||||||||
\(184\) | −2.72251e9 | − | 4.71553e9i | −0.175101 | − | 0.303284i | ||||
\(185\) | −6.51490e9 | + | 1.12841e10i | −0.408917 | + | 0.708264i | ||||
\(186\) | 2.14419e9 | + | 3.71385e9i | 0.131358 | + | 0.227518i | ||||
\(187\) | −9.22580e9 | + | 1.59796e10i | −0.551718 | + | 0.955603i | ||||
\(188\) | 3.65011e9 | − | 6.32217e9i | 0.213106 | − | 0.369110i | ||||
\(189\) | −3.78680e9 | −0.215871 | ||||||||
\(190\) | −5.16085e9 | − | 5.05553e9i | −0.287296 | − | 0.281433i | ||||
\(191\) | −2.32519e9 | −0.126418 | −0.0632089 | − | 0.998000i | \(-0.520133\pi\) | ||||
−0.0632089 | + | 0.998000i | \(0.520133\pi\) | |||||||
\(192\) | −3.74104e8 | + | 6.47967e8i | −0.0198672 | + | 0.0344110i | ||||
\(193\) | 3.64424e9 | − | 6.31200e9i | 0.189060 | − | 0.327461i | −0.755877 | − | 0.654713i | \(-0.772789\pi\) |
0.944937 | + | 0.327252i | \(0.106123\pi\) | |||||||
\(194\) | 2.76260e9 | + | 4.78497e9i | 0.140027 | + | 0.242533i | ||||
\(195\) | −1.64540e9 | + | 2.84991e9i | −0.0814920 | + | 0.141148i | ||||
\(196\) | 4.50466e9 | + | 7.80230e9i | 0.218027 | + | 0.377634i | ||||
\(197\) | −5.34274e9 | −0.252735 | −0.126368 | − | 0.991983i | \(-0.540332\pi\) | ||||
−0.126368 | + | 0.991983i | \(0.540332\pi\) | |||||||
\(198\) | 2.38176e10 | 1.10130 | ||||||||
\(199\) | −1.90859e9 | − | 3.30578e9i | −0.0862729 | − | 0.149429i | 0.819660 | − | 0.572850i | \(-0.194162\pi\) |
−0.905933 | + | 0.423421i | \(0.860829\pi\) | |||||||
\(200\) | 2.70605e9 | + | 4.68701e9i | 0.119592 | + | 0.207139i | ||||
\(201\) | 1.34568e10 | 0.581512 | ||||||||
\(202\) | 2.23308e10 | 0.943675 | ||||||||
\(203\) | −7.03191e9 | − | 1.21796e10i | −0.290630 | − | 0.503387i | ||||
\(204\) | 1.25198e9 | − | 2.16849e9i | 0.0506129 | − | 0.0876642i | ||||
\(205\) | 1.32077e10 | + | 2.28764e10i | 0.522317 | + | 0.904679i | ||||
\(206\) | 2.77188e9 | − | 4.80104e9i | 0.107244 | − | 0.185752i | ||||
\(207\) | 1.17609e10 | − | 2.03704e10i | 0.445218 | − | 0.771140i | ||||
\(208\) | −6.08393e9 | −0.225372 | ||||||||
\(209\) | 4.60320e10 | − | 1.28442e10i | 1.66879 | − | 0.465639i | ||||
\(210\) | −1.28849e9 | −0.0457187 | ||||||||
\(211\) | −6.55840e9 | + | 1.13595e10i | −0.227786 | + | 0.394536i | −0.957152 | − | 0.289587i | \(-0.906482\pi\) |
0.729366 | + | 0.684124i | \(0.239815\pi\) | |||||||
\(212\) | 6.59495e9 | − | 1.14228e10i | 0.224233 | − | 0.388383i | ||||
\(213\) | 1.47649e8 | + | 2.55735e8i | 0.00491497 | + | 0.00851298i | ||||
\(214\) | −1.83563e10 | + | 3.17940e10i | −0.598305 | + | 1.03629i | ||||
\(215\) | −1.07996e10 | − | 1.87054e10i | −0.344694 | − | 0.597027i | ||||
\(216\) | −6.82760e9 | −0.213416 | ||||||||
\(217\) | −1.36532e10 | −0.417991 | ||||||||
\(218\) | −1.15695e10 | − | 2.00389e10i | −0.346944 | − | 0.600925i | ||||
\(219\) | −3.34685e9 | − | 5.79692e9i | −0.0983191 | − | 0.170294i | ||||
\(220\) | 1.71192e10 | 0.492698 | ||||||||
\(221\) | 2.03606e10 | 0.574149 | ||||||||
\(222\) | 5.84838e9 | + | 1.01297e10i | 0.161602 | + | 0.279903i | ||||
\(223\) | −2.86570e10 | + | 4.96354e10i | −0.775995 | + | 1.34406i | 0.158238 | + | 0.987401i | \(0.449419\pi\) |
−0.934233 | + | 0.356662i | \(0.883915\pi\) | |||||||
\(224\) | −1.19106e9 | − | 2.06298e9i | −0.0316095 | − | 0.0547493i | ||||
\(225\) | −1.16897e10 | + | 2.02472e10i | −0.304077 | + | 0.526677i | ||||
\(226\) | −1.90599e10 | + | 3.30126e10i | −0.485995 | + | 0.841768i | ||||
\(227\) | 3.35024e10 | 0.837450 | 0.418725 | − | 0.908113i | \(-0.362477\pi\) | ||||
0.418725 | + | 0.908113i | \(0.362477\pi\) | |||||||
\(228\) | −6.24673e9 | + | 1.74302e9i | −0.153090 | + | 0.0427164i | ||||
\(229\) | 7.27536e10 | 1.74821 | 0.874107 | − | 0.485733i | \(-0.161447\pi\) | ||||
0.874107 | + | 0.485733i | \(0.161447\pi\) | |||||||
\(230\) | 8.45325e9 | − | 1.46415e10i | 0.199181 | − | 0.344992i | ||||
\(231\) | 4.26173e9 | − | 7.38153e9i | 0.0984763 | − | 0.170566i | ||||
\(232\) | −1.26785e10 | − | 2.19599e10i | −0.287325 | − | 0.497661i | ||||
\(233\) | 7.45126e9 | − | 1.29060e10i | 0.165626 | − | 0.286873i | −0.771251 | − | 0.636531i | \(-0.780369\pi\) |
0.936877 | + | 0.349658i | \(0.113702\pi\) | |||||||
\(234\) | −1.31409e10 | − | 2.27606e10i | −0.286518 | − | 0.496264i | ||||
\(235\) | 2.26668e10 | 0.484824 | ||||||||
\(236\) | −5.31728e9 | −0.111580 | ||||||||
\(237\) | −7.62444e9 | − | 1.32059e10i | −0.156979 | − | 0.271895i | ||||
\(238\) | 3.98602e9 | + | 6.90399e9i | 0.0805273 | + | 0.139477i | ||||
\(239\) | −3.28646e10 | −0.651534 | −0.325767 | − | 0.945450i | \(-0.605623\pi\) | ||||
−0.325767 | + | 0.945450i | \(0.605623\pi\) | |||||||
\(240\) | −2.32314e9 | −0.0451987 | ||||||||
\(241\) | −1.49686e10 | − | 2.59264e10i | −0.285828 | − | 0.495069i | 0.686981 | − | 0.726675i | \(-0.258935\pi\) |
−0.972810 | + | 0.231606i | \(0.925602\pi\) | |||||||
\(242\) | −3.77588e10 | + | 6.54002e10i | −0.707700 | + | 1.22577i | ||||
\(243\) | −2.25131e10 | − | 3.89938e10i | −0.414196 | − | 0.717409i | ||||
\(244\) | 1.74697e10 | − | 3.02584e10i | 0.315523 | − | 0.546502i | ||||
\(245\) | −1.39867e10 | + | 2.42257e10i | −0.248010 | + | 0.429566i | ||||
\(246\) | 2.37129e10 | 0.412835 | ||||||||
\(247\) | −3.76714e10 | − | 3.69026e10i | −0.643984 | − | 0.630843i | ||||
\(248\) | −2.46168e10 | −0.413236 | ||||||||
\(249\) | 4.49357e9 | − | 7.78309e9i | 0.0740788 | − | 0.128308i | ||||
\(250\) | −2.08219e10 | + | 3.60646e10i | −0.337125 | + | 0.583917i | ||||
\(251\) | −4.86720e10 | − | 8.43023e10i | −0.774011 | − | 1.34063i | −0.935349 | − | 0.353727i | \(-0.884914\pi\) |
0.161337 | − | 0.986899i | \(-0.448419\pi\) | |||||||
\(252\) | 5.14522e9 | − | 8.91177e9i | 0.0803713 | − | 0.139207i | ||||
\(253\) | 5.59189e10 | + | 9.68544e10i | 0.858058 | + | 1.48620i | ||||
\(254\) | −6.42374e10 | −0.968359 | ||||||||
\(255\) | 7.77466e9 | 0.115146 | ||||||||
\(256\) | −2.14748e9 | − | 3.71955e9i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.91979e10 | + | 5.05722e10i | 0.417496 | + | 0.723124i | 0.995687 | − | 0.0927773i | \(-0.0295744\pi\) |
−0.578191 | + | 0.815902i | \(0.696241\pi\) | |||||||
\(258\) | −1.93894e10 | −0.272443 | ||||||||
\(259\) | −3.72398e10 | −0.514232 | ||||||||
\(260\) | −9.44514e9 | − | 1.63595e10i | −0.128182 | − | 0.222018i | ||||
\(261\) | 5.47694e10 | − | 9.48635e10i | 0.730560 | − | 1.26537i | ||||
\(262\) | 2.51152e10 | + | 4.35008e10i | 0.329291 | + | 0.570349i | ||||
\(263\) | 7.55761e9 | − | 1.30902e10i | 0.0974055 | − | 0.168711i | −0.813204 | − | 0.581978i | \(-0.802279\pi\) |
0.910610 | + | 0.413267i | \(0.135612\pi\) | |||||||
\(264\) | 7.68389e9 | − | 1.33089e10i | 0.0973562 | − | 0.168626i | ||||
\(265\) | 4.09539e10 | 0.510139 | ||||||||
\(266\) | 5.13820e9 | − | 1.99983e10i | 0.0629279 | − | 0.244921i | ||||
\(267\) | 1.92337e10 | 0.231612 | ||||||||
\(268\) | −3.86232e10 | + | 6.68974e10i | −0.457343 | + | 0.792141i | ||||
\(269\) | −4.55790e10 | + | 7.89452e10i | −0.530738 | + | 0.919265i | 0.468619 | + | 0.883400i | \(0.344752\pi\) |
−0.999357 | + | 0.0358642i | \(0.988582\pi\) | |||||||
\(270\) | −1.05997e10 | − | 1.83592e10i | −0.121382 | − | 0.210240i | ||||
\(271\) | −1.73061e10 | + | 2.99751e10i | −0.194912 | + | 0.337597i | −0.946872 | − | 0.321612i | \(-0.895775\pi\) |
0.751960 | + | 0.659209i | \(0.229109\pi\) | |||||||
\(272\) | 7.18679e9 | + | 1.24479e10i | 0.0796113 | + | 0.137891i | ||||
\(273\) | −9.40526e9 | −0.102480 | ||||||||
\(274\) | −3.41381e10 | −0.365900 | ||||||||
\(275\) | −5.55808e10 | − | 9.62688e10i | −0.586041 | − | 1.01505i | ||||
\(276\) | −7.58843e9 | − | 1.31435e10i | −0.0787157 | − | 0.136340i | ||||
\(277\) | −8.17668e10 | −0.834484 | −0.417242 | − | 0.908795i | \(-0.637003\pi\) | ||||
−0.417242 | + | 0.908795i | \(0.637003\pi\) | |||||||
\(278\) | −7.08022e10 | −0.710960 | ||||||||
\(279\) | −5.31705e10 | − | 9.20939e10i | −0.525353 | − | 0.909939i | ||||
\(280\) | 3.69818e9 | − | 6.40544e9i | 0.0359565 | − | 0.0622784i | ||||
\(281\) | 1.02930e10 | + | 1.78280e10i | 0.0984838 | + | 0.170579i | 0.911057 | − | 0.412280i | \(-0.135267\pi\) |
−0.812573 | + | 0.582859i | \(0.801934\pi\) | |||||||
\(282\) | 1.01739e10 | − | 1.76217e10i | 0.0958004 | − | 0.165931i | ||||
\(283\) | 2.33724e10 | − | 4.04822e10i | 0.216603 | − | 0.375168i | −0.737164 | − | 0.675714i | \(-0.763836\pi\) |
0.953767 | + | 0.300546i | \(0.0971689\pi\) | |||||||
\(284\) | −1.69511e9 | −0.0154620 | ||||||||
\(285\) | −1.43848e10 | − | 1.40912e10i | −0.129152 | − | 0.126517i | ||||
\(286\) | 1.24961e11 | 1.10440 | ||||||||
\(287\) | −3.77482e10 | + | 6.53818e10i | −0.328419 | + | 0.568838i | ||||
\(288\) | 9.27682e9 | − | 1.60679e10i | 0.0794572 | − | 0.137624i | ||||
\(289\) | 3.52425e10 | + | 6.10419e10i | 0.297185 | + | 0.514740i | ||||
\(290\) | 3.93661e10 | − | 6.81842e10i | 0.326838 | − | 0.566099i | ||||
\(291\) | 7.70018e9 | + | 1.33371e10i | 0.0629480 | + | 0.109029i | ||||
\(292\) | 3.84241e10 | 0.309301 | ||||||||
\(293\) | 3.34599e9 | 0.0265229 | 0.0132614 | − | 0.999912i | \(-0.495779\pi\) | ||||
0.0132614 | + | 0.999912i | \(0.495779\pi\) | |||||||
\(294\) | 1.25558e10 | + | 2.17473e10i | 0.0980125 | + | 0.169763i | ||||
\(295\) | −8.25493e9 | − | 1.42980e10i | −0.0634621 | − | 0.109920i | ||||
\(296\) | −6.71434e10 | −0.508383 | ||||||||
\(297\) | 1.40235e11 | 1.04581 | ||||||||
\(298\) | 2.36692e10 | + | 4.09963e10i | 0.173865 | + | 0.301142i | ||||
\(299\) | 6.17041e10 | − | 1.06875e11i | 0.446472 | − | 0.773312i | ||||
\(300\) | 7.54255e9 | + | 1.30641e10i | 0.0537616 | + | 0.0931178i | ||||
\(301\) | 3.08657e10 | − | 5.34610e10i | 0.216734 | − | 0.375394i | ||||
\(302\) | 3.15439e10 | − | 5.46356e10i | 0.218215 | − | 0.377959i | ||||
\(303\) | 6.22423e10 | 0.424223 | ||||||||
\(304\) | 9.26417e9 | − | 3.60570e10i | 0.0622122 | − | 0.242136i | ||||
\(305\) | 1.08485e11 | 0.717827 | ||||||||
\(306\) | −3.10459e10 | + | 5.37731e10i | −0.202422 | + | 0.350605i | ||||
\(307\) | −6.86254e10 | + | 1.18863e11i | −0.440923 | + | 0.763701i | −0.997758 | − | 0.0669223i | \(-0.978682\pi\) |
0.556835 | + | 0.830623i | \(0.312015\pi\) | |||||||
\(308\) | 2.44638e10 | + | 4.23725e10i | 0.154898 | + | 0.268291i | ||||
\(309\) | 7.72605e9 | − | 1.33819e10i | 0.0482108 | − | 0.0835035i | ||||
\(310\) | −3.82169e10 | − | 6.61935e10i | −0.235032 | − | 0.407088i | ||||
\(311\) | −1.23912e11 | −0.751089 | −0.375545 | − | 0.926804i | \(-0.622544\pi\) | ||||
−0.375545 | + | 0.926804i | \(0.622544\pi\) | |||||||
\(312\) | −1.69577e10 | −0.101314 | ||||||||
\(313\) | 2.38160e10 | + | 4.12506e10i | 0.140255 | + | 0.242930i | 0.927593 | − | 0.373593i | \(-0.121874\pi\) |
−0.787337 | + | 0.616522i | \(0.788541\pi\) | |||||||
\(314\) | 4.60029e10 | + | 7.96794e10i | 0.267056 | + | 0.462554i | ||||
\(315\) | 3.19512e10 | 0.182848 | ||||||||
\(316\) | 8.75338e10 | 0.493837 | ||||||||
\(317\) | −7.52799e10 | − | 1.30389e11i | −0.418709 | − | 0.725225i | 0.577101 | − | 0.816673i | \(-0.304184\pi\) |
−0.995810 | + | 0.0914478i | \(0.970851\pi\) | |||||||
\(318\) | 1.83820e10 | − | 3.18386e10i | 0.100803 | − | 0.174595i | ||||
\(319\) | 2.60410e11 | + | 4.51044e11i | 1.40799 | + | 2.43871i | ||||
\(320\) | 6.66782e9 | − | 1.15490e10i | 0.0355475 | − | 0.0615701i | ||||
\(321\) | −5.11643e10 | + | 8.86191e10i | −0.268964 | + | 0.465859i | ||||
\(322\) | 4.83197e10 | 0.250480 | ||||||||
\(323\) | −3.10036e10 | + | 1.20669e11i | −0.158489 | + | 0.616856i | ||||
\(324\) | 7.01276e10 | 0.353538 | ||||||||
\(325\) | −6.13310e10 | + | 1.06228e11i | −0.304933 | + | 0.528160i | ||||
\(326\) | 1.01856e11 | − | 1.76420e11i | 0.499470 | − | 0.865107i | ||||
\(327\) | −3.22475e10 | − | 5.58544e10i | −0.155967 | − | 0.270142i | ||||
\(328\) | −6.80600e10 | + | 1.17883e11i | −0.324683 | + | 0.562368i | ||||
\(329\) | 3.23914e10 | + | 5.61036e10i | 0.152422 | + | 0.264003i | ||||
\(330\) | 4.77161e10 | 0.221489 | ||||||||
\(331\) | 1.15833e11 | 0.530405 | 0.265203 | − | 0.964193i | \(-0.414561\pi\) | ||||
0.265203 | + | 0.964193i | \(0.414561\pi\) | |||||||
\(332\) | 2.57946e10 | + | 4.46776e10i | 0.116522 | + | 0.201822i | ||||
\(333\) | −1.45025e11 | − | 2.51191e11i | −0.646315 | − | 1.11945i | ||||
\(334\) | 9.21666e10 | 0.405242 | ||||||||
\(335\) | −2.39846e11 | −1.04047 | ||||||||
\(336\) | −3.31983e9 | − | 5.75012e9i | −0.0142099 | − | 0.0246122i | ||||
\(337\) | −1.33359e11 | + | 2.30985e11i | −0.563235 | + | 0.975551i | 0.433977 | + | 0.900924i | \(0.357110\pi\) |
−0.997212 | + | 0.0746269i | \(0.976223\pi\) | |||||||
\(338\) | 1.58916e10 | + | 2.75251e10i | 0.0662281 | + | 0.114710i | ||||
\(339\) | −5.31254e10 | + | 9.20159e10i | −0.218476 | + | 0.378411i | ||||
\(340\) | −2.23146e10 | + | 3.86500e10i | −0.0905595 | + | 0.156854i | ||||
\(341\) | 5.05615e11 | 2.02500 | ||||||||
\(342\) | 1.54903e11 | − | 4.32223e10i | 0.612269 | − | 0.170841i | ||||
\(343\) | −1.71624e11 | −0.669505 | ||||||||
\(344\) | 5.56509e10 | − | 9.63902e10i | 0.214269 | − | 0.371125i | ||||
\(345\) | 2.35617e10 | − | 4.08100e10i | 0.0895406 | − | 0.155089i | ||||
\(346\) | −1.14153e11 | − | 1.97718e11i | −0.428196 | − | 0.741658i | ||||
\(347\) | −7.34412e10 | + | 1.27204e11i | −0.271930 | + | 0.470996i | −0.969356 | − | 0.245660i | \(-0.920995\pi\) |
0.697426 | + | 0.716657i | \(0.254329\pi\) | |||||||
\(348\) | −3.53387e10 | − | 6.12085e10i | −0.129165 | − | 0.223720i | ||||
\(349\) | −1.43333e11 | −0.517168 | −0.258584 | − | 0.965989i | \(-0.583256\pi\) | ||||
−0.258584 | + | 0.965989i | \(0.583256\pi\) | |||||||
\(350\) | −4.80275e10 | −0.171074 | ||||||||
\(351\) | −7.73718e10 | − | 1.34012e11i | −0.272083 | − | 0.471261i | ||||
\(352\) | 4.41082e10 | + | 7.63976e10i | 0.153136 | + | 0.265239i | ||||
\(353\) | −3.02557e11 | −1.03710 | −0.518550 | − | 0.855047i | \(-0.673528\pi\) | ||||
−0.518550 | + | 0.855047i | \(0.673528\pi\) | |||||||
\(354\) | −1.48208e10 | −0.0501599 | ||||||||
\(355\) | −2.63161e9 | − | 4.55808e9i | −0.00879414 | − | 0.0152319i | ||||
\(356\) | −5.52040e10 | + | 9.56161e10i | −0.182157 | + | 0.315505i | ||||
\(357\) | 1.11102e10 | + | 1.92434e10i | 0.0362005 | + | 0.0627011i | ||||
\(358\) | −7.04767e10 | + | 1.22069e11i | −0.226763 | + | 0.392765i | ||||
\(359\) | 2.28185e11 | − | 3.95229e11i | 0.725042 | − | 1.25581i | −0.233915 | − | 0.972257i | \(-0.575154\pi\) |
0.958957 | − | 0.283552i | \(-0.0915129\pi\) | |||||||
\(360\) | 5.76081e10 | 0.180768 | ||||||||
\(361\) | 2.76070e11 | − | 1.67070e11i | 0.855534 | − | 0.517747i | ||||
\(362\) | −2.25905e11 | −0.691412 | ||||||||
\(363\) | −1.05245e11 | + | 1.82289e11i | −0.318142 | + | 0.551038i | ||||
\(364\) | 2.69947e10 | − | 4.67562e10i | 0.0805977 | − | 0.139599i | ||||
\(365\) | 5.96524e10 | + | 1.03321e11i | 0.175918 | + | 0.304699i | ||||
\(366\) | 4.86931e10 | − | 8.43389e10i | 0.141841 | − | 0.245676i | ||||
\(367\) | −2.76257e11 | − | 4.78492e11i | −0.794907 | − | 1.37682i | −0.922898 | − | 0.385044i | \(-0.874186\pi\) |
0.127991 | − | 0.991775i | \(-0.459147\pi\) | |||||||
\(368\) | 8.71204e10 | 0.247631 | ||||||||
\(369\) | −5.88019e11 | −1.65110 | ||||||||
\(370\) | −1.04238e11 | − | 1.80546e11i | −0.289148 | − | 0.500819i | ||||
\(371\) | 5.85242e10 | + | 1.01367e11i | 0.160381 | + | 0.277788i | ||||
\(372\) | −6.86141e10 | −0.185768 | ||||||||
\(373\) | 1.36580e11 | 0.365339 | 0.182669 | − | 0.983174i | \(-0.441526\pi\) | ||||
0.182669 | + | 0.983174i | \(0.441526\pi\) | |||||||
\(374\) | −1.47613e11 | − | 2.55673e11i | −0.390123 | − | 0.675714i | ||||
\(375\) | −5.80367e10 | + | 1.00523e11i | −0.151552 | + | 0.262496i | ||||
\(376\) | 5.84017e10 | + | 1.01155e11i | 0.150689 | + | 0.261000i | ||||
\(377\) | 2.87351e11 | − | 4.97707e11i | 0.732618 | − | 1.26893i | ||||
\(378\) | 3.02944e10 | − | 5.24715e10i | 0.0763219 | − | 0.132193i | ||||
\(379\) | −2.92195e11 | −0.727438 | −0.363719 | − | 0.931509i | \(-0.618493\pi\) | ||||
−0.363719 | + | 0.931509i | \(0.618493\pi\) | |||||||
\(380\) | 1.11338e11 | − | 3.10665e10i | 0.273917 | − | 0.0764305i | ||||
\(381\) | −1.79048e11 | −0.435319 | ||||||||
\(382\) | 1.86015e10 | − | 3.22188e10i | 0.0446954 | − | 0.0774148i | ||||
\(383\) | 6.31050e10 | − | 1.09301e11i | 0.149854 | − | 0.259555i | −0.781319 | − | 0.624132i | \(-0.785453\pi\) |
0.931173 | + | 0.364576i | \(0.118786\pi\) | |||||||
\(384\) | −5.98566e9 | − | 1.03675e10i | −0.0140482 | − | 0.0243323i | ||||
\(385\) | −7.59587e10 | + | 1.31564e11i | −0.176199 | + | 0.305186i | ||||
\(386\) | 5.83078e10 | + | 1.00992e11i | 0.133685 | + | 0.231550i | ||||
\(387\) | 4.80808e11 | 1.08961 | ||||||||
\(388\) | −8.84033e10 | −0.198028 | ||||||||
\(389\) | −3.14965e11 | − | 5.45535e11i | −0.697412 | − | 1.20795i | −0.969361 | − | 0.245641i | \(-0.921002\pi\) |
0.271949 | − | 0.962312i | \(-0.412332\pi\) | |||||||
\(390\) | −2.63264e10 | − | 4.55986e10i | −0.0576235 | − | 0.0998069i | ||||
\(391\) | −2.91558e11 | −0.630855 | ||||||||
\(392\) | −1.44149e11 | −0.308336 | ||||||||
\(393\) | 7.00033e10 | + | 1.21249e11i | 0.148031 | + | 0.256397i | ||||
\(394\) | 4.27419e10 | − | 7.40312e10i | 0.0893554 | − | 0.154768i | ||||
\(395\) | 1.35894e11 | + | 2.35375e11i | 0.280875 | + | 0.486489i | ||||
\(396\) | −1.90541e11 | + | 3.30027e11i | −0.389368 | + | 0.674405i | ||||
\(397\) | −2.96088e11 | + | 5.12840e11i | −0.598224 | + | 1.03615i | 0.394859 | + | 0.918742i | \(0.370793\pi\) |
−0.993083 | + | 0.117413i | \(0.962540\pi\) | |||||||
\(398\) | 6.10750e10 | 0.122008 | ||||||||
\(399\) | 1.43216e10 | − | 5.57412e10i | 0.0282888 | − | 0.110103i | ||||
\(400\) | −8.65936e10 | −0.169128 | ||||||||
\(401\) | −2.51297e11 | + | 4.35259e11i | −0.485330 | + | 0.840616i | −0.999858 | − | 0.0168576i | \(-0.994634\pi\) |
0.514528 | + | 0.857474i | \(0.327967\pi\) | |||||||
\(402\) | −1.07654e11 | + | 1.86463e11i | −0.205596 | + | 0.356102i | ||||
\(403\) | −2.78962e11 | − | 4.83177e11i | −0.526833 | − | 0.912501i | ||||
\(404\) | −1.78646e11 | + | 3.09424e11i | −0.333640 | + | 0.577881i | ||||
\(405\) | 1.08871e11 | + | 1.88570e11i | 0.201078 | + | 0.348278i | ||||
\(406\) | 2.25021e11 | 0.411013 | ||||||||
\(407\) | 1.37909e12 | 2.49125 | ||||||||
\(408\) | 2.00317e10 | + | 3.46959e10i | 0.0357888 | + | 0.0619879i | ||||
\(409\) | −2.34890e11 | − | 4.06841e11i | −0.415058 | − | 0.718902i | 0.580376 | − | 0.814348i | \(-0.302905\pi\) |
−0.995435 | + | 0.0954464i | \(0.969572\pi\) | |||||||
\(410\) | −4.22645e11 | −0.738667 | ||||||||
\(411\) | −9.51529e10 | −0.164488 | ||||||||
\(412\) | 4.43501e10 | + | 7.68167e10i | 0.0758329 | + | 0.131346i | ||||
\(413\) | 2.35930e10 | − | 4.08643e10i | 0.0399033 | − | 0.0691145i | ||||
\(414\) | 1.88174e11 | + | 3.25927e11i | 0.314817 | + | 0.545278i | ||||
\(415\) | −8.00909e10 | + | 1.38721e11i | −0.132546 | + | 0.229576i | ||||
\(416\) | 4.86715e10 | − | 8.43014e10i | 0.0796809 | − | 0.138011i | ||||
\(417\) | −1.97346e11 | −0.319607 | ||||||||
\(418\) | −1.90281e11 | + | 7.40592e11i | −0.304861 | + | 1.18655i | ||||
\(419\) | 1.21118e12 | 1.91975 | 0.959876 | − | 0.280424i | \(-0.0904751\pi\) | ||||
0.959876 | + | 0.280424i | \(0.0904751\pi\) | |||||||
\(420\) | 1.03079e10 | − | 1.78538e10i | 0.0161640 | − | 0.0279969i | ||||
\(421\) | 4.13280e11 | − | 7.15822e11i | 0.641172 | − | 1.11054i | −0.343999 | − | 0.938970i | \(-0.611782\pi\) |
0.985171 | − | 0.171573i | \(-0.0548849\pi\) | |||||||
\(422\) | −1.04934e11 | − | 1.81752e11i | −0.161069 | − | 0.278979i | ||||
\(423\) | −2.52287e11 | + | 4.36974e11i | −0.383145 | + | 0.663627i | ||||
\(424\) | 1.05519e11 | + | 1.82765e11i | 0.158557 | + | 0.274628i | ||||
\(425\) | 2.89795e11 | 0.430864 | ||||||||
\(426\) | −4.72475e9 | −0.00695082 | ||||||||
\(427\) | 1.55028e11 | + | 2.68516e11i | 0.225675 | + | 0.390881i | ||||
\(428\) | −2.93700e11 | − | 5.08704e11i | −0.423066 | − | 0.732771i | ||||
\(429\) | 3.48302e11 | 0.496476 | ||||||||
\(430\) | 3.45586e11 | 0.487470 | ||||||||
\(431\) | 4.27082e11 | + | 7.39727e11i | 0.596161 | + | 1.03258i | 0.993382 | + | 0.114858i | \(0.0366412\pi\) |
−0.397221 | + | 0.917723i | \(0.630025\pi\) | |||||||
\(432\) | 5.46208e10 | − | 9.46060e10i | 0.0754539 | − | 0.130690i | ||||
\(433\) | 2.89381e11 | + | 5.01223e11i | 0.395617 | + | 0.685229i | 0.993180 | − | 0.116593i | \(-0.0371974\pi\) |
−0.597563 | + | 0.801822i | \(0.703864\pi\) | |||||||
\(434\) | 1.09226e11 | − | 1.89185e11i | 0.147782 | − | 0.255966i | ||||
\(435\) | 1.09725e11 | − | 1.90049e11i | 0.146928 | − | 0.254486i | ||||
\(436\) | 3.70224e11 | 0.490653 | ||||||||
\(437\) | 5.39445e11 | + | 5.28436e11i | 0.707588 | + | 0.693149i | ||||
\(438\) | 1.07099e11 | 0.139044 | ||||||||
\(439\) | −3.65979e11 | + | 6.33895e11i | −0.470291 | + | 0.814567i | −0.999423 | − | 0.0339722i | \(-0.989184\pi\) |
0.529132 | + | 0.848539i | \(0.322518\pi\) | |||||||
\(440\) | −1.36953e11 | + | 2.37210e11i | −0.174195 | + | 0.301715i | ||||
\(441\) | −3.11352e11 | − | 5.39277e11i | −0.391993 | − | 0.678951i | ||||
\(442\) | −1.62884e11 | + | 2.82124e11i | −0.202992 | + | 0.351593i | ||||
\(443\) | 1.23565e11 | + | 2.14022e11i | 0.152433 | + | 0.264022i | 0.932122 | − | 0.362146i | \(-0.117956\pi\) |
−0.779688 | + | 0.626168i | \(0.784622\pi\) | |||||||
\(444\) | −1.87148e11 | −0.228540 | ||||||||
\(445\) | −3.42811e11 | −0.414414 | ||||||||
\(446\) | −4.58512e11 | − | 7.94167e11i | −0.548712 | − | 0.950396i | ||||
\(447\) | 6.59731e10 | + | 1.14269e11i | 0.0781597 | + | 0.135377i | ||||
\(448\) | 3.81140e10 | 0.0447026 | ||||||||
\(449\) | −1.15268e12 | −1.33845 | −0.669223 | − | 0.743061i | \(-0.733373\pi\) | ||||
−0.669223 | + | 0.743061i | \(0.733373\pi\) | |||||||
\(450\) | −1.87036e11 | − | 3.23956e11i | −0.215015 | − | 0.372417i | ||||
\(451\) | 1.39792e12 | − | 2.42126e12i | 1.59106 | − | 2.75580i | ||||
\(452\) | −3.04958e11 | − | 5.28202e11i | −0.343650 | − | 0.595220i | ||||
\(453\) | 8.79220e10 | − | 1.52285e11i | 0.0980970 | − | 0.169909i | ||||
\(454\) | −2.68019e11 | + | 4.64222e11i | −0.296083 | + | 0.512831i | ||||
\(455\) | 1.67634e11 | 0.183363 | ||||||||
\(456\) | 2.58219e10 | − | 1.00501e11i | 0.0279671 | − | 0.108850i | ||||
\(457\) | 9.30155e11 | 0.997545 | 0.498772 | − | 0.866733i | \(-0.333784\pi\) | ||||
0.498772 | + | 0.866733i | \(0.333784\pi\) | |||||||
\(458\) | −5.82029e11 | + | 1.00810e12i | −0.618087 | + | 1.07056i | ||||
\(459\) | −1.82795e11 | + | 3.16610e11i | −0.192223 | + | 0.332941i | ||||
\(460\) | 1.35252e11 | + | 2.34263e11i | 0.140842 | + | 0.243946i | ||||
\(461\) | 6.26382e11 | − | 1.08492e12i | 0.645929 | − | 1.11878i | −0.338157 | − | 0.941090i | \(-0.609803\pi\) |
0.984086 | − | 0.177692i | \(-0.0568632\pi\) | |||||||
\(462\) | 6.81876e10 | + | 1.18104e11i | 0.0696333 | + | 0.120608i | ||||
\(463\) | 1.08829e12 | 1.10061 | 0.550303 | − | 0.834965i | \(-0.314512\pi\) | ||||
0.550303 | + | 0.834965i | \(0.314512\pi\) | |||||||
\(464\) | 4.05713e11 | 0.406338 | ||||||||
\(465\) | −1.06522e11 | − | 1.84501e11i | −0.105657 | − | 0.183004i | ||||
\(466\) | 1.19220e11 | + | 2.06495e11i | 0.117115 | + | 0.202849i | ||||
\(467\) | −1.21652e12 | −1.18357 | −0.591785 | − | 0.806096i | \(-0.701577\pi\) | ||||
−0.591785 | + | 0.806096i | \(0.701577\pi\) | |||||||
\(468\) | 4.20508e11 | 0.405198 | ||||||||
\(469\) | −3.42746e11 | − | 5.93654e11i | −0.327111 | − | 0.566573i | ||||
\(470\) | −1.81334e11 | + | 3.14080e11i | −0.171411 | + | 0.296893i | ||||
\(471\) | 1.28224e11 | + | 2.22090e11i | 0.120053 | + | 0.207938i | ||||
\(472\) | 4.25382e10 | − | 7.36784e10i | 0.0394494 | − | 0.0683284i | ||||
\(473\) | −1.14304e12 | + | 1.97980e12i | −1.04999 | + | 1.81864i | ||||
\(474\) | 2.43982e11 | 0.222001 | ||||||||
\(475\) | −5.36183e11 | − | 5.25241e11i | −0.483272 | − | 0.473410i | ||||
\(476\) | −1.27553e11 | −0.113883 | ||||||||
\(477\) | −4.55828e11 | + | 7.89517e11i | −0.403151 | + | 0.698279i | ||||
\(478\) | 2.62917e11 | − | 4.55385e11i | 0.230352 | − | 0.398982i | ||||
\(479\) | 8.25407e11 | + | 1.42965e12i | 0.716404 | + | 1.24085i | 0.962415 | + | 0.271582i | \(0.0875467\pi\) |
−0.246011 | + | 0.969267i | \(0.579120\pi\) | |||||||
\(480\) | 1.85852e10 | − | 3.21904e10i | 0.0159801 | − | 0.0276784i | ||||
\(481\) | −7.60883e11 | − | 1.31789e12i | −0.648135 | − | 1.12260i | ||||
\(482\) | 4.78996e11 | 0.404222 | ||||||||
\(483\) | 1.34681e11 | 0.112601 | ||||||||
\(484\) | −6.04141e11 | − | 1.04640e12i | −0.500420 | − | 0.866752i | ||||
\(485\) | −1.37244e11 | − | 2.37713e11i | −0.112630 | − | 0.195081i | ||||
\(486\) | 7.20418e11 | 0.585762 | ||||||||
\(487\) | −1.44123e11 | −0.116106 | −0.0580528 | − | 0.998314i | \(-0.518489\pi\) | ||||
−0.0580528 | + | 0.998314i | \(0.518489\pi\) | |||||||
\(488\) | 2.79515e11 | + | 4.84134e11i | 0.223108 | + | 0.386435i | ||||
\(489\) | 2.83903e11 | − | 4.91735e11i | 0.224533 | − | 0.388903i | ||||
\(490\) | −2.23788e11 | − | 3.87612e11i | −0.175369 | − | 0.303749i | ||||
\(491\) | 9.85702e10 | − | 1.70729e11i | 0.0765384 | − | 0.132568i | −0.825216 | − | 0.564817i | \(-0.808947\pi\) |
0.901754 | + | 0.432249i | \(0.142280\pi\) | |||||||
\(492\) | −1.89703e11 | + | 3.28575e11i | −0.145959 | + | 0.252809i | ||||
\(493\) | −1.35776e12 | −1.03517 | ||||||||
\(494\) | 8.12709e11 | − | 2.26769e11i | 0.613994 | − | 0.171322i | ||||
\(495\) | −1.18324e12 | −0.885827 | ||||||||
\(496\) | 1.96934e11 | − | 3.41100e11i | 0.146101 | − | 0.253054i | ||||
\(497\) | 7.52127e9 | − | 1.30272e10i | 0.00552952 | − | 0.00957741i | ||||
\(498\) | 7.18971e10 | + | 1.24529e11i | 0.0523817 | + | 0.0907277i | ||||
\(499\) | −1.26764e12 | + | 2.19561e12i | −0.915256 | + | 1.58527i | −0.108729 | + | 0.994071i | \(0.534678\pi\) |
−0.806527 | + | 0.591198i | \(0.798655\pi\) | |||||||
\(500\) | −3.33151e11 | − | 5.77034e11i | −0.238383 | − | 0.412892i | ||||
\(501\) | 2.56895e11 | 0.182174 | ||||||||
\(502\) | 1.55750e12 | 1.09462 | ||||||||
\(503\) | −1.03587e12 | − | 1.79418e12i | −0.721522 | − | 1.24971i | −0.960389 | − | 0.278661i | \(-0.910109\pi\) |
0.238867 | − | 0.971052i | \(-0.423224\pi\) | |||||||
\(504\) | 8.23234e10 | + | 1.42588e11i | 0.0568311 | + | 0.0984344i | ||||
\(505\) | −1.10937e12 | −0.759043 | ||||||||
\(506\) | −1.78941e12 | −1.21348 | ||||||||
\(507\) | 4.42945e10 | + | 7.67203e10i | 0.0297724 | + | 0.0515673i | ||||
\(508\) | 5.13899e11 | − | 8.90100e11i | 0.342367 | − | 0.592996i | ||||
\(509\) | 7.22450e11 | + | 1.25132e12i | 0.477065 | + | 0.826301i | 0.999655 | − | 0.0262833i | \(-0.00836719\pi\) |
−0.522589 | + | 0.852585i | \(0.675034\pi\) | |||||||
\(510\) | −6.21973e10 | + | 1.07729e11i | −0.0407104 | + | 0.0705125i | ||||
\(511\) | −1.70490e11 | + | 2.95297e11i | −0.110612 | + | 0.191586i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | 9.12051e11 | − | 2.54488e11i | 0.581421 | − | 0.162233i | ||||
\(514\) | −9.34332e11 | −0.590428 | ||||||||
\(515\) | −1.37705e11 | + | 2.38512e11i | −0.0862614 | + | 0.149409i | ||||
\(516\) | 1.55115e11 | − | 2.68668e11i | 0.0963232 | − | 0.166837i | ||||
\(517\) | −1.19954e12 | − | 2.07767e12i | −0.738427 | − | 1.27899i | ||||
\(518\) | 2.97919e11 | − | 5.16010e11i | 0.181808 | − | 0.314901i | ||||
\(519\) | −3.18176e11 | − | 5.51098e11i | −0.192493 | − | 0.333407i | ||||
\(520\) | 3.02244e11 | 0.181277 | ||||||||
\(521\) | −4.18309e11 | −0.248730 | −0.124365 | − | 0.992237i | \(-0.539689\pi\) | ||||
−0.124365 | + | 0.992237i | \(0.539689\pi\) | |||||||
\(522\) | 8.76311e11 | + | 1.51782e12i | 0.516584 | + | 0.894750i | ||||
\(523\) | 8.88237e11 | + | 1.53847e12i | 0.519124 | + | 0.899150i | 0.999753 | + | 0.0222255i | \(0.00707518\pi\) |
−0.480629 | + | 0.876924i | \(0.659591\pi\) | |||||||
\(524\) | −8.03686e11 | −0.465688 | ||||||||
\(525\) | −1.33867e11 | −0.0769051 | ||||||||
\(526\) | 1.20922e11 | + | 2.09443e11i | 0.0688761 | + | 0.119297i | ||||
\(527\) | −6.59062e11 | + | 1.14153e12i | −0.372202 | + | 0.644672i | ||||
\(528\) | 1.22942e11 | + | 2.12942e11i | 0.0688412 | + | 0.119237i | ||||
\(529\) | 1.69888e10 | − | 2.94255e10i | 0.00943220 | − | 0.0163370i | ||||
\(530\) | −3.27631e11 | + | 5.67474e11i | −0.180362 | + | 0.312395i | ||||
\(531\) | 3.67518e11 | 0.200610 | ||||||||
\(532\) | 2.36000e11 | + | 2.31184e11i | 0.127735 | + | 0.125128i | ||||
\(533\) | −3.08508e12 | −1.65575 | ||||||||
\(534\) | −1.53869e11 | + | 2.66510e11i | −0.0818874 | + | 0.141833i | ||||
\(535\) | 9.11924e11 | − | 1.57950e12i | 0.481245 | − | 0.833542i | ||||
\(536\) | −6.17972e11 | − | 1.07036e12i | −0.323390 | − | 0.560129i | ||||
\(537\) | −1.96439e11 | + | 3.40242e11i | −0.101940 | + | 0.176565i | ||||
\(538\) | −7.29265e11 | − | 1.26312e12i | −0.375288 | − | 0.650018i | ||||
\(539\) | 2.96075e12 | 1.51096 | ||||||||
\(540\) | 3.39189e11 | 0.171660 | ||||||||
\(541\) | −1.79971e12 | − | 3.11719e12i | −0.903263 | − | 1.56450i | −0.823232 | − | 0.567706i | \(-0.807831\pi\) |
−0.0800316 | − | 0.996792i | \(-0.525502\pi\) | |||||||
\(542\) | −2.76898e11 | − | 4.79601e11i | −0.137823 | − | 0.238717i | ||||
\(543\) | −6.29662e11 | −0.310820 | ||||||||
\(544\) | −2.29977e11 | −0.112587 | ||||||||
\(545\) | 5.74762e11 | + | 9.95517e11i | 0.279064 | + | 0.483353i | ||||
\(546\) | 7.52421e10 | − | 1.30323e11i | 0.0362321 | − | 0.0627559i | ||||
\(547\) | 6.99454e11 | + | 1.21149e12i | 0.334053 | + | 0.578598i | 0.983303 | − | 0.181978i | \(-0.0582500\pi\) |
−0.649249 | + | 0.760576i | \(0.724917\pi\) | |||||||
\(548\) | 2.73105e11 | − | 4.73032e11i | 0.129365 | − | 0.224067i | ||||
\(549\) | −1.20747e12 | + | 2.09139e12i | −0.567282 | + | 0.982562i | ||||
\(550\) | 1.77859e12 | 0.828787 | ||||||||
\(551\) | 2.51215e12 | + | 2.46089e12i | 1.16108 | + | 1.13739i | ||||
\(552\) | 2.42830e11 | 0.111321 | ||||||||
\(553\) | −3.88392e11 | + | 6.72714e11i | −0.176607 | + | 0.305892i | ||||
\(554\) | 6.54134e11 | − | 1.13299e12i | 0.295035 | − | 0.511015i | ||||
\(555\) | −2.90543e11 | − | 5.03235e11i | −0.129984 | − | 0.225140i | ||||
\(556\) | 5.66417e11 | − | 9.81064e11i | 0.251362 | − | 0.435372i | ||||
\(557\) | −3.80085e10 | − | 6.58326e10i | −0.0167314 | − | 0.0289796i | 0.857538 | − | 0.514420i | \(-0.171993\pi\) |
−0.874270 | + | 0.485440i | \(0.838659\pi\) | |||||||
\(558\) | 1.70145e12 | 0.742962 | ||||||||
\(559\) | 2.52259e12 | 1.09268 | ||||||||
\(560\) | 5.91709e10 | + | 1.02487e11i | 0.0254251 | + | 0.0440375i | ||||
\(561\) | −4.11440e11 | − | 7.12635e11i | −0.175377 | − | 0.303763i | ||||
\(562\) | −3.29377e11 | −0.139277 | ||||||||
\(563\) | −1.69889e11 | −0.0712652 | −0.0356326 | − | 0.999365i | \(-0.511345\pi\) | ||||
−0.0356326 | + | 0.999365i | \(0.511345\pi\) | |||||||
\(564\) | 1.62783e11 | + | 2.81948e11i | 0.0677411 | + | 0.117331i | ||||
\(565\) | 9.46877e11 | − | 1.64004e12i | 0.390909 | − | 0.677074i | ||||
\(566\) | 3.73959e11 | + | 6.47716e11i | 0.153162 | + | 0.265284i | ||||
\(567\) | −3.11159e11 | + | 5.38944e11i | −0.126433 | + | 0.218988i | ||||
\(568\) | 1.35609e10 | − | 2.34881e10i | 0.00546663 | − | 0.00946848i | ||||
\(569\) | 1.48480e12 | 0.593829 | 0.296914 | − | 0.954904i | \(-0.404042\pi\) | ||||
0.296914 | + | 0.954904i | \(0.404042\pi\) | |||||||
\(570\) | 3.10332e11 | − | 8.65915e10i | 0.123137 | − | 0.0343588i | ||||
\(571\) | −2.61571e12 | −1.02974 | −0.514869 | − | 0.857269i | \(-0.672159\pi\) | ||||
−0.514869 | + | 0.857269i | \(0.672159\pi\) | |||||||
\(572\) | −9.99686e11 | + | 1.73151e12i | −0.390464 | + | 0.676304i | ||||
\(573\) | 5.18478e10 | − | 8.98031e10i | 0.0200925 | − | 0.0348013i | ||||
\(574\) | −6.03971e11 | − | 1.04611e12i | −0.232227 | − | 0.402229i | ||||
\(575\) | 8.78245e11 | − | 1.52116e12i | 0.335050 | − | 0.580324i | ||||
\(576\) | 1.48429e11 | + | 2.57087e11i | 0.0561847 | + | 0.0973148i | ||||
\(577\) | 3.77683e12 | 1.41852 | 0.709261 | − | 0.704946i | \(-0.249029\pi\) | ||||
0.709261 | + | 0.704946i | \(0.249029\pi\) | |||||||
\(578\) | −1.12776e12 | −0.420283 | ||||||||
\(579\) | 1.62521e11 | + | 2.81494e11i | 0.0600974 | + | 0.104092i | ||||
\(580\) | 6.29858e11 | + | 1.09095e12i | 0.231109 | + | 0.400293i | ||||
\(581\) | −4.57808e11 | −0.166683 | ||||||||
\(582\) | −2.46406e11 | −0.0890220 | ||||||||
\(583\) | −2.16731e12 | − | 3.75389e12i | −0.776984 | − | 1.34578i | ||||
\(584\) | −3.07393e11 | + | 5.32420e11i | −0.109354 | + | 0.189407i | ||||
\(585\) | 6.52827e11 | + | 1.13073e12i | 0.230460 | + | 0.399169i | ||||
\(586\) | −2.67679e10 | + | 4.63634e10i | −0.00937725 | + | 0.0162419i | ||||
\(587\) | −1.97509e12 | + | 3.42096e12i | −0.686618 | + | 1.18926i | 0.286307 | + | 0.958138i | \(0.407572\pi\) |
−0.972925 | + | 0.231120i | \(0.925761\pi\) | |||||||
\(588\) | −4.01786e11 | −0.138611 | ||||||||
\(589\) | 3.28838e12 | − | 9.17550e11i | 1.12580 | − | 0.314131i | ||||
\(590\) | 2.64158e11 | 0.0897489 | ||||||||
\(591\) | 1.19134e11 | − | 2.06346e11i | 0.0401691 | − | 0.0695750i | ||||
\(592\) | 5.37147e11 | − | 9.30367e11i | 0.179740 | − | 0.311320i | ||||
\(593\) | 2.91443e12 | + | 5.04794e12i | 0.967848 | + | 1.67636i | 0.701761 | + | 0.712413i | \(0.252398\pi\) |
0.266087 | + | 0.963949i | \(0.414269\pi\) | |||||||
\(594\) | −1.12188e12 | + | 1.94316e12i | −0.369750 | + | 0.640426i | ||||
\(595\) | −1.98022e11 | − | 3.42984e11i | −0.0647719 | − | 0.112188i | ||||
\(596\) | −7.57416e11 | −0.245882 | ||||||||
\(597\) | 1.70234e11 | 0.0548481 | ||||||||
\(598\) | 9.87266e11 | + | 1.71000e12i | 0.315703 | + | 0.546814i | ||||
\(599\) | 1.12461e12 | + | 1.94788e12i | 0.356929 | + | 0.618219i | 0.987446 | − | 0.157957i | \(-0.0504906\pi\) |
−0.630517 | + | 0.776175i | \(0.717157\pi\) | |||||||
\(600\) | −2.41361e11 | −0.0760304 | ||||||||
\(601\) | −1.52023e12 | −0.475305 | −0.237653 | − | 0.971350i | \(-0.576378\pi\) | ||||
−0.237653 | + | 0.971350i | \(0.576378\pi\) | |||||||
\(602\) | 4.93852e11 | + | 8.55376e11i | 0.153254 | + | 0.265444i | ||||
\(603\) | 2.66955e12 | − | 4.62380e12i | 0.822262 | − | 1.42420i | ||||
\(604\) | 5.04702e11 | + | 8.74170e11i | 0.154301 | + | 0.267257i | ||||
\(605\) | 1.87583e12 | − | 3.24902e12i | 0.569237 | − | 0.985948i | ||||
\(606\) | −4.97939e11 | + | 8.62455e11i | −0.149985 | + | 0.259782i | ||||
\(607\) | 2.49088e12 | 0.744739 | 0.372369 | − | 0.928085i | \(-0.378545\pi\) | ||||
0.372369 | + | 0.928085i | \(0.378545\pi\) | |||||||
\(608\) | 4.25507e11 | + | 4.16824e11i | 0.126282 | + | 0.123705i | ||||
\(609\) | 6.27199e11 | 0.184768 | ||||||||
\(610\) | −8.67879e11 | + | 1.50321e12i | −0.253790 | + | 0.439578i | ||||
\(611\) | −1.32364e12 | + | 2.29261e12i | −0.384224 | + | 0.665496i | ||||
\(612\) | −4.96735e11 | − | 8.60370e11i | −0.143134 | − | 0.247916i | ||||
\(613\) | −1.04203e12 | + | 1.80484e12i | −0.298062 | + | 0.516259i | −0.975693 | − | 0.219144i | \(-0.929674\pi\) |
0.677630 | + | 0.735403i | \(0.263007\pi\) | |||||||
\(614\) | −1.09801e12 | − | 1.90180e12i | −0.311779 | − | 0.540018i | ||||
\(615\) | −1.17804e12 | −0.332063 | ||||||||
\(616\) | −7.82841e11 | −0.219058 | ||||||||
\(617\) | −3.08557e11 | − | 5.34437e11i | −0.0857141 | − | 0.148461i | 0.819981 | − | 0.572390i | \(-0.193984\pi\) |
−0.905695 | + | 0.423929i | \(0.860651\pi\) | |||||||
\(618\) | 1.23617e11 | + | 2.14110e11i | 0.0340902 | + | 0.0590459i | ||||
\(619\) | −5.24937e12 | −1.43714 | −0.718571 | − | 0.695454i | \(-0.755203\pi\) | ||||
−0.718571 | + | 0.695454i | \(0.755203\pi\) | |||||||
\(620\) | 1.22294e12 | 0.332386 | ||||||||
\(621\) | 1.10794e12 | + | 1.91902e12i | 0.298955 | + | 0.517805i | ||||
\(622\) | 9.91296e11 | − | 1.71697e12i | 0.265550 | − | 0.459946i | ||||
\(623\) | −4.89885e11 | − | 8.48506e11i | −0.130286 | − | 0.225662i | ||||
\(624\) | 1.35662e11 | − | 2.34973e11i | 0.0358200 | − | 0.0620421i | ||||
\(625\) | −2.55930e11 | + | 4.43284e11i | −0.0670905 | + | 0.116204i | ||||
\(626\) | −7.62113e11 | −0.198351 | ||||||||
\(627\) | −5.30369e11 | + | 2.06425e12i | −0.137048 | + | 0.533405i | ||||
\(628\) | −1.47209e12 | −0.377674 | ||||||||
\(629\) | −1.79762e12 | + | 3.11357e12i | −0.457900 | + | 0.793106i | ||||
\(630\) | −2.55610e11 | + | 4.42729e11i | −0.0646465 | + | 0.111971i | ||||
\(631\) | −1.37631e12 | − | 2.38385e12i | −0.345610 | − | 0.598613i | 0.639855 | − | 0.768496i | \(-0.278994\pi\) |
−0.985464 | + | 0.169883i | \(0.945661\pi\) | |||||||
\(632\) | −7.00270e11 | + | 1.21290e12i | −0.174598 | + | 0.302412i | ||||
\(633\) | −2.92482e11 | − | 5.06595e11i | −0.0724074 | − | 0.125413i | ||||
\(634\) | 2.40896e12 | 0.592144 | ||||||||
\(635\) | 3.19126e12 | 0.778898 | ||||||||
\(636\) | 2.94113e11 | + | 5.09418e11i | 0.0712782 | + | 0.123457i | ||||
\(637\) | −1.63353e12 | − | 2.82935e12i | −0.393097 | − | 0.680863i | ||||
\(638\) | −8.33313e12 | −1.99120 | ||||||||
\(639\) | 1.17162e11 | 0.0277992 | ||||||||
\(640\) | 1.06685e11 | + | 1.84784e11i | 0.0251359 | + | 0.0435366i | ||||
\(641\) | 3.40946e12 | − | 5.90536e12i | 0.797673 | − | 1.38161i | −0.123455 | − | 0.992350i | \(-0.539398\pi\) |
0.921128 | − | 0.389260i | \(-0.127269\pi\) | |||||||
\(642\) | −8.18629e11 | − | 1.41791e12i | −0.190186 | − | 0.329412i | ||||
\(643\) | 3.28806e12 | − | 5.69508e12i | 0.758560 | − | 1.31386i | −0.185025 | − | 0.982734i | \(-0.559237\pi\) |
0.943585 | − | 0.331131i | \(-0.107430\pi\) | |||||||
\(644\) | −3.86557e11 | + | 6.69537e11i | −0.0885579 | + | 0.153387i | ||||
\(645\) | 9.63249e11 | 0.219139 | ||||||||
\(646\) | −1.42401e12 | − | 1.39495e12i | −0.321711 | − | 0.315146i | ||||
\(647\) | −1.04393e10 | −0.00234207 | −0.00117104 | − | 0.999999i | \(-0.500373\pi\) | ||||
−0.00117104 | + | 0.999999i | \(0.500373\pi\) | |||||||
\(648\) | −5.61020e11 | + | 9.71716e11i | −0.124995 | + | 0.216497i | ||||
\(649\) | −8.73713e11 | + | 1.51331e12i | −0.193316 | + | 0.334833i | ||||
\(650\) | −9.81296e11 | − | 1.69966e12i | −0.215621 | − | 0.373466i | ||||
\(651\) | 3.04444e11 | − | 5.27313e11i | 0.0664344 | − | 0.115068i | ||||
\(652\) | 1.62970e12 | + | 2.82273e12i | 0.353178 | + | 0.611723i | ||||
\(653\) | 5.06806e12 | 1.09077 | 0.545384 | − | 0.838186i | \(-0.316384\pi\) | ||||
0.545384 | + | 0.838186i | \(0.316384\pi\) | |||||||
\(654\) | 1.03192e12 | 0.220570 | ||||||||
\(655\) | −1.24770e12 | − | 2.16108e12i | −0.264865 | − | 0.458759i | ||||
\(656\) | −1.08896e12 | − | 1.88614e12i | −0.229586 | − | 0.397654i | ||||
\(657\) | −2.65579e12 | −0.556095 | ||||||||
\(658\) | −1.03653e12 | −0.215558 | ||||||||
\(659\) | −3.90575e11 | − | 6.76495e11i | −0.0806714 | − | 0.139727i | 0.822867 | − | 0.568234i | \(-0.192373\pi\) |
−0.903539 | + | 0.428507i | \(0.859040\pi\) | |||||||
\(660\) | −3.81729e11 | + | 6.61174e11i | −0.0783083 | + | 0.135634i | ||||
\(661\) | −3.26091e11 | − | 5.64807e11i | −0.0664405 | − | 0.115078i | 0.830892 | − | 0.556434i | \(-0.187831\pi\) |
−0.897332 | + | 0.441356i | \(0.854498\pi\) | |||||||
\(662\) | −9.26667e11 | + | 1.60504e12i | −0.187527 | + | 0.324806i | ||||
\(663\) | −4.54006e11 | + | 7.86362e11i | −0.0912538 | + | 0.158056i | ||||
\(664\) | −8.25427e11 | −0.164787 | ||||||||
\(665\) | −2.55261e11 | + | 9.93500e11i | −0.0506159 | + | 0.197002i | ||||
\(666\) | 4.64080e12 | 0.914027 | ||||||||
\(667\) | −4.11480e12 | + | 7.12704e12i | −0.804975 | + | 1.39426i | ||||
\(668\) | −7.37333e11 | + | 1.27710e12i | −0.143275 | + | 0.248159i | ||||
\(669\) | −1.27801e12 | − | 2.21357e12i | −0.246670 | − | 0.427244i | ||||
\(670\) | 1.91877e12 | − | 3.32340e12i | 0.367863 | − | 0.637157i | ||||
\(671\) | −5.74109e12 | − | 9.94386e12i | −1.09331 | − | 1.89367i | ||||
\(672\) | 1.06235e11 | 0.0200958 | ||||||||
\(673\) | −1.39243e12 | −0.261640 | −0.130820 | − | 0.991406i | \(-0.541761\pi\) | ||||
−0.130820 | + | 0.991406i | \(0.541761\pi\) | |||||||
\(674\) | −2.13375e12 | − | 3.69577e12i | −0.398267 | − | 0.689819i | ||||
\(675\) | −1.10125e12 | − | 1.90741e12i | −0.204182 | − | 0.353653i | ||||
\(676\) | −5.08531e11 | −0.0936607 | ||||||||
\(677\) | −5.84653e12 | −1.06967 | −0.534835 | − | 0.844957i | \(-0.679626\pi\) | ||||
−0.534835 | + | 0.844957i | \(0.679626\pi\) | |||||||
\(678\) | −8.50006e11 | − | 1.47225e12i | −0.154486 | − | 0.267577i | ||||
\(679\) | 3.92250e11 | − | 6.79396e11i | 0.0708188 | − | 0.122662i | ||||
\(680\) | −3.57034e11 | − | 6.18400e11i | −0.0640352 | − | 0.110912i | ||||
\(681\) | −7.47047e11 | + | 1.29392e12i | −0.133102 | + | 0.230540i | ||||
\(682\) | −4.04492e12 | + | 7.00601e12i | −0.715946 | + | 1.24006i | ||||
\(683\) | 8.45112e11 | 0.148601 | 0.0743004 | − | 0.997236i | \(-0.476328\pi\) | ||||
0.0743004 | + | 0.997236i | \(0.476328\pi\) | |||||||
\(684\) | −6.40318e11 | + | 2.49218e12i | −0.111852 | + | 0.435338i | ||||
\(685\) | 1.69595e12 | 0.294311 | ||||||||
\(686\) | 1.37299e12 | − | 2.37809e12i | 0.236706 | − | 0.409986i | ||||
\(687\) | −1.62228e12 | + | 2.80988e12i | −0.277857 | + | 0.481263i | ||||
\(688\) | 8.90414e11 | + | 1.54224e12i | 0.151511 | + | 0.262425i | ||||
\(689\) | −2.39153e12 | + | 4.14225e12i | −0.404287 | + | 0.700245i | ||||
\(690\) | 3.76987e11 | + | 6.52960e11i | 0.0633148 | + | 0.109664i | ||||
\(691\) | 1.03196e12 | 0.172191 | 0.0860954 | − | 0.996287i | \(-0.472561\pi\) | ||||
0.0860954 | + | 0.996287i | \(0.472561\pi\) | |||||||
\(692\) | 3.65288e12 | 0.605561 | ||||||||
\(693\) | −1.69088e12 | − | 2.92869e12i | −0.278492 | − | 0.482363i | ||||
\(694\) | −1.17506e12 | − | 2.03526e12i | −0.192283 | − | 0.333045i | ||||
\(695\) | 3.51739e12 | 0.571859 | ||||||||
\(696\) | 1.13084e12 | 0.182667 | ||||||||
\(697\) | 3.64433e12 | + | 6.31216e12i | 0.584884 | + | 1.01305i | ||||
\(698\) | 1.14666e12 | − | 1.98608e12i | 0.182846 | − | 0.316699i | ||||
\(699\) | 3.32301e11 | + | 5.75563e11i | 0.0526484 | + | 0.0911897i | ||||
\(700\) | 3.84220e11 | − | 6.65488e11i | 0.0604837 | − | 0.104761i | ||||
\(701\) | 4.80983e12 | − | 8.33087e12i | 0.752313 | − | 1.30304i | −0.194386 | − | 0.980925i | \(-0.562271\pi\) |
0.946699 | − | 0.322119i | \(-0.104395\pi\) | |||||||
\(702\) | 2.47590e12 | 0.384783 | ||||||||
\(703\) | 8.96921e12 | − | 2.50266e12i | 1.38502 | − | 0.386459i | ||||
\(704\) | −1.41146e12 | −0.216567 | ||||||||
\(705\) | −5.05431e11 | + | 8.75433e11i | −0.0770568 | + | 0.133466i | ||||
\(706\) | 2.42045e12 | − | 4.19235e12i | 0.366670 | − | 0.635091i | ||||
\(707\) | −1.58532e12 | − | 2.74586e12i | −0.238633 | − | 0.413324i | ||||
\(708\) | 1.18566e11 | − | 2.05363e11i | 0.0177342 | − | 0.0307166i | ||||
\(709\) | 3.87756e12 | + | 6.71613e12i | 0.576302 | + | 0.998185i | 0.995899 | + | 0.0904743i | \(0.0288383\pi\) |
−0.419596 | + | 0.907711i | \(0.637828\pi\) | |||||||
\(710\) | 8.42114e10 | 0.0124368 | ||||||||
\(711\) | −6.05014e12 | −0.887875 | ||||||||
\(712\) | −8.83263e11 | − | 1.52986e12i | −0.128804 | − | 0.223096i | ||||
\(713\) | 3.99467e12 | + | 6.91897e12i | 0.578866 | + | 1.00263i | ||||
\(714\) | −3.55526e11 | −0.0511952 | ||||||||
\(715\) | −6.20794e12 | −0.888322 | ||||||||
\(716\) | −1.12763e12 | − | 1.95311e12i | −0.160345 | − | 0.277727i | ||||
\(717\) | 7.32825e11 | − | 1.26929e12i | 0.103553 | − | 0.179360i | ||||
\(718\) | 3.65097e12 | + | 6.32366e12i | 0.512682 | + | 0.887991i | ||||
\(719\) | −2.17056e12 | + | 3.75952e12i | −0.302895 | + | 0.524629i | −0.976790 | − | 0.214198i | \(-0.931286\pi\) |
0.673896 | + | 0.738826i | \(0.264620\pi\) | |||||||
\(720\) | −4.60865e11 | + | 7.98241e11i | −0.0639112 | + | 0.110697i | ||||
\(721\) | −7.87135e11 | −0.108478 | ||||||||
\(722\) | 1.06433e11 | + | 5.16191e12i | 0.0145767 | + | 0.706957i | ||||
\(723\) | 1.33510e12 | 0.181716 | ||||||||
\(724\) | 1.80724e12 | − | 3.13023e12i | 0.244451 | − | 0.423402i | ||||
\(725\) | 4.08992e12 | − | 7.08395e12i | 0.549786 | − | 0.952257i | ||||
\(726\) | −1.68392e12 | − | 2.91663e12i | −0.224960 | − | 0.389643i | ||||
\(727\) | −4.99515e12 | + | 8.65185e12i | −0.663198 | + | 1.14869i | 0.316572 | + | 0.948568i | \(0.397468\pi\) |
−0.979770 | + | 0.200125i | \(0.935865\pi\) | |||||||
\(728\) | 4.31915e11 | + | 7.48099e11i | 0.0569911 | + | 0.0987116i | ||||
\(729\) | −3.38386e12 | −0.443751 | ||||||||
\(730\) | −1.90888e12 | −0.248786 | ||||||||
\(731\) | −2.97987e12 | − | 5.16129e12i | −0.385984 | − | 0.668544i | ||||
\(732\) | 7.79090e11 | + | 1.34942e12i | 0.100297 | + | 0.173719i | ||||
\(733\) | 1.02173e13 | 1.30728 | 0.653642 | − | 0.756804i | \(-0.273240\pi\) | ||||
0.653642 | + | 0.756804i | \(0.273240\pi\) | |||||||
\(734\) | 8.84023e12 | 1.12417 | ||||||||
\(735\) | −6.23761e11 | − | 1.08039e12i | −0.0788362 | − | 0.136548i | ||||
\(736\) | −6.96963e11 | + | 1.20718e12i | −0.0875507 | + | 0.151642i | ||||
\(737\) | 1.26928e13 | + | 2.19846e13i | 1.58473 | + | 2.74483i | ||||
\(738\) | 4.70416e12 | − | 8.14784e12i | 0.583751 | − | 1.01109i | ||||
\(739\) | −2.58474e12 | + | 4.47689e12i | −0.318798 | + | 0.552175i | −0.980238 | − | 0.197824i | \(-0.936613\pi\) |
0.661439 | + | 0.749999i | \(0.269946\pi\) | |||||||
\(740\) | 3.33563e12 | 0.408917 | ||||||||
\(741\) | 2.26526e12 | − | 6.32071e11i | 0.276017 | − | 0.0770165i | ||||
\(742\) | −1.87277e12 | −0.226813 | ||||||||
\(743\) | −4.54795e12 | + | 7.87728e12i | −0.547477 | + | 0.948258i | 0.450970 | + | 0.892539i | \(0.351078\pi\) |
−0.998447 | + | 0.0557184i | \(0.982255\pi\) | |||||||
\(744\) | 5.48913e11 | − | 9.50745e11i | 0.0656788 | − | 0.113759i | ||||
\(745\) | −1.17587e12 | − | 2.03666e12i | −0.139848 | − | 0.242223i | ||||
\(746\) | −1.09264e12 | + | 1.89250e12i | −0.129167 | + | 0.223723i | ||||
\(747\) | −1.78286e12 | − | 3.08801e12i | −0.209496 | − | 0.362858i | ||||
\(748\) | 4.72361e12 | 0.551718 | ||||||||
\(749\) | 5.21265e12 | 0.605188 | ||||||||
\(750\) | −9.28588e11 | − | 1.60836e12i | −0.107164 | − | 0.185613i | ||||
\(751\) | 4.53840e11 | + | 7.86073e11i | 0.0520622 | + | 0.0901744i | 0.890882 | − | 0.454235i | \(-0.150087\pi\) |
−0.838820 | + | 0.544409i | \(0.816754\pi\) | |||||||
\(752\) | −1.86886e12 | −0.213106 | ||||||||
\(753\) | 4.34121e12 | 0.492078 | ||||||||
\(754\) | 4.59762e12 | + | 7.96332e12i | 0.518039 | + | 0.897270i | ||||
\(755\) | −1.56707e12 | + | 2.71425e12i | −0.175521 | + | 0.304010i | ||||
\(756\) | 4.84711e11 | + | 8.39543e11i | 0.0539678 | + | 0.0934749i | ||||
\(757\) | −5.08466e12 | + | 8.80689e12i | −0.562769 | + | 0.974745i | 0.434484 | + | 0.900680i | \(0.356931\pi\) |
−0.997253 | + | 0.0740655i | \(0.976403\pi\) | |||||||
\(758\) | 2.33756e12 | − | 4.04877e12i | 0.257188 | − | 0.445463i | ||||
\(759\) | −4.98760e12 | −0.545511 | ||||||||
\(760\) | −4.60236e11 | + | 1.79128e12i | −0.0500402 | + | 0.194761i | ||||
\(761\) | −6.17669e12 | −0.667614 | −0.333807 | − | 0.942642i | \(-0.608333\pi\) | ||||
−0.333807 | + | 0.942642i | \(0.608333\pi\) | |||||||
\(762\) | 1.43239e12 | − | 2.48097e12i | 0.153909 | − | 0.266578i | ||||
\(763\) | −1.64270e12 | + | 2.84524e12i | −0.175468 | + | 0.303919i | ||||
\(764\) | 2.97624e11 | + | 5.15500e11i | 0.0316044 | + | 0.0547405i | ||||
\(765\) | 1.54233e12 | − | 2.67140e12i | 0.162818 | − | 0.282009i | ||||
\(766\) | 1.00968e12 | + | 1.74882e12i | 0.105963 | + | 0.183533i | ||||
\(767\) | 1.92821e12 | 0.201175 | ||||||||
\(768\) | 1.91541e11 | 0.0198672 | ||||||||
\(769\) | −3.42674e12 | − | 5.93529e12i | −0.353356 | − | 0.612031i | 0.633479 | − | 0.773760i | \(-0.281626\pi\) |
−0.986835 | + | 0.161729i | \(0.948293\pi\) | |||||||
\(770\) | −1.21534e12 | − | 2.10503e12i | −0.124592 | − | 0.215799i | ||||
\(771\) | −2.60426e12 | −0.265423 | ||||||||
\(772\) | −1.86585e12 | −0.189060 | ||||||||
\(773\) | −4.84097e12 | − | 8.38480e12i | −0.487668 | − | 0.844666i | 0.512231 | − | 0.858847i | \(-0.328819\pi\) |
−0.999899 | + | 0.0141817i | \(0.995486\pi\) | |||||||
\(774\) | −3.84646e12 | + | 6.66227e12i | −0.385236 | + | 0.667249i | ||||
\(775\) | −3.97051e12 | − | 6.87713e12i | −0.395357 | − | 0.684778i | ||||
\(776\) | 7.07226e11 | − | 1.22495e12i | 0.0700133 | − | 0.121267i | ||||
\(777\) | 8.30386e11 | − | 1.43827e12i | 0.0817308 | − | 0.141562i | ||||
\(778\) | 1.00789e13 | 0.986289 | ||||||||
\(779\) | 4.69774e12 | − | 1.82840e13i | 0.457057 | − | 1.77891i | ||||
\(780\) | 8.42443e11 | 0.0814920 | ||||||||
\(781\) | −2.78533e11 | + | 4.82433e11i | −0.0267884 | + | 0.0463988i | ||||
\(782\) | 2.33246e12 | − | 4.03995e12i | 0.223041 | − | 0.386318i | ||||
\(783\) | 5.15961e12 | + | 8.93671e12i | 0.490557 | + | 0.849669i | ||||
\(784\) | 1.15319e12 | − | 1.99739e12i | 0.109013 | − | 0.188817i | ||||
\(785\) | −2.28539e12 | − | 3.95840e12i | −0.214806 | − | 0.372054i | ||||
\(786\) | −2.24011e12 | −0.209347 | ||||||||
\(787\) | −1.98725e12 | −0.184657 | −0.0923286 | − | 0.995729i | \(-0.529431\pi\) | ||||
−0.0923286 | + | 0.995729i | \(0.529431\pi\) | |||||||
\(788\) | 6.83871e11 | + | 1.18450e12i | 0.0631838 | + | 0.109438i | ||||
\(789\) | 3.37044e11 | + | 5.83778e11i | 0.0309628 | + | 0.0536291i | ||||
\(790\) | −4.34860e12 | −0.397217 | ||||||||
\(791\) | 5.41245e12 | 0.491586 | ||||||||
\(792\) | −3.04866e12 | − | 5.28043e12i | −0.275325 | − | 0.476876i | ||||
\(793\) | −6.33505e12 | + | 1.09726e13i | −0.568880 | + | 0.985328i | ||||
\(794\) | −4.73741e12 | − | 8.20544e12i | −0.423008 | − | 0.732672i | ||||
\(795\) | −9.13204e11 | + | 1.58171e12i | −0.0810803 | + | 0.140435i | ||||
\(796\) | −4.88600e11 | + | 8.46280e11i | −0.0431365 | + | 0.0747146i | ||||
\(797\) | −8.65043e10 | −0.00759408 | −0.00379704 | − | 0.999993i | \(-0.501209\pi\) | ||||
−0.00379704 | + | 0.999993i | \(0.501209\pi\) | |||||||
\(798\) | 6.57800e11 | + | 6.44376e11i | 0.0574223 | + | 0.0562505i | ||||
\(799\) | 6.25433e12 | 0.542901 | ||||||||
\(800\) | 6.92749e11 | − | 1.19988e12i | 0.0597958 | − | 0.103569i | ||||
\(801\) | 3.81557e12 | − | 6.60876e12i | 0.327502 | − | 0.567249i | ||||
\(802\) | −4.02075e12 | − | 6.96414e12i | −0.343180 | − | 0.594405i | ||||
\(803\) | 6.31369e12 | − | 1.09356e13i | 0.535875 | − | 0.928162i | ||||
\(804\) | −1.72247e12 | − | 2.98340e12i | −0.145378 | − | 0.251802i | ||||
\(805\) | −2.40048e12 | −0.201473 | ||||||||
\(806\) | 8.92679e12 | 0.745054 | ||||||||
\(807\) | −2.03267e12 | − | 3.52069e12i | −0.168708 | − | 0.292211i | ||||
\(808\) | −2.85834e12 | − | 4.95079e12i | −0.235919 | − | 0.408623i | ||||
\(809\) | 9.18791e11 | 0.0754134 | 0.0377067 | − | 0.999289i | \(-0.487995\pi\) | ||||
0.0377067 | + | 0.999289i | \(0.487995\pi\) | |||||||
\(810\) | −3.48388e12 | −0.284368 | ||||||||
\(811\) | −6.25131e12 | − | 1.08276e13i | −0.507431 | − | 0.878897i | −0.999963 | − | 0.00860247i | \(-0.997262\pi\) |
0.492532 | − | 0.870295i | \(-0.336072\pi\) | |||||||
\(812\) | −1.80017e12 | + | 3.11798e12i | −0.145315 | + | 0.251693i | ||||
\(813\) | −7.71795e11 | − | 1.33679e12i | −0.0619576 | − | 0.107314i | ||||
\(814\) | −1.10327e13 | + | 1.91092e13i | −0.880791 | + | 1.52557i | ||||
\(815\) | −5.06014e12 | + | 8.76442e12i | −0.401747 | + | 0.695847i | ||||
\(816\) | −6.41014e11 | −0.0506129 | ||||||||
\(817\) | −3.84122e12 | + | 1.49504e13i | −0.301627 | + | 1.17396i | ||||
\(818\) | 7.51647e12 | 0.586981 | ||||||||
\(819\) | −1.86581e12 | + | 3.23168e12i | −0.144907 | + | 0.250987i | ||||
\(820\) | 3.38116e12 | − | 5.85635e12i | 0.261158 | − | 0.452339i | ||||
\(821\) | −7.33805e12 | − | 1.27099e13i | −0.563685 | − | 0.976331i | −0.997171 | − | 0.0751706i | \(-0.976050\pi\) |
0.433486 | − | 0.901160i | \(-0.357283\pi\) | |||||||
\(822\) | 7.61223e11 | − | 1.31848e12i | 0.0581553 | − | 0.100728i | ||||
\(823\) | 3.02837e10 | + | 5.24530e10i | 0.00230097 | + | 0.00398539i | 0.867174 | − | 0.498006i | \(-0.165934\pi\) |
−0.864873 | + | 0.501991i | \(0.832601\pi\) | |||||||
\(824\) | −1.41920e12 | −0.107244 | ||||||||
\(825\) | 4.95744e12 | 0.372576 | ||||||||
\(826\) | 3.77488e11 | + | 6.53829e11i | 0.0282159 | + | 0.0488713i | ||||
\(827\) | −8.95242e12 | − | 1.55060e13i | −0.665527 | − | 1.15273i | −0.979142 | − | 0.203176i | \(-0.934874\pi\) |
0.313616 | − | 0.949550i | \(-0.398460\pi\) | |||||||
\(828\) | −6.02156e12 | −0.445218 | ||||||||
\(829\) | −1.18746e13 | −0.873221 | −0.436610 | − | 0.899651i | \(-0.643821\pi\) | ||||
−0.436610 | + | 0.899651i | \(0.643821\pi\) | |||||||
\(830\) | −1.28145e12 | − | 2.21954e12i | −0.0937241 | − | 0.162335i | ||||
\(831\) | 1.82326e12 | − | 3.15798e12i | 0.132631 | − | 0.229723i | ||||
\(832\) | 7.78743e11 | + | 1.34882e12i | 0.0563429 | + | 0.0975888i | ||||
\(833\) | −3.85929e12 | + | 6.68449e12i | −0.277719 | + | 0.481023i | ||||
\(834\) | 1.57877e12 | − | 2.73451e12i | 0.112998 | − | 0.195719i | ||||
\(835\) | −4.57876e12 | −0.325956 | ||||||||
\(836\) | −8.73969e12 | − | 8.56135e12i | −0.618825 | − | 0.606197i | ||||
\(837\) | 1.00180e13 | 0.705529 | ||||||||
\(838\) | −9.68943e12 | + | 1.67826e13i | −0.678735 | + | 1.17560i | ||||
\(839\) | −1.58683e12 | + | 2.74846e12i | −0.110561 | + | 0.191497i | −0.915996 | − | 0.401186i | \(-0.868598\pi\) |
0.805436 | + | 0.592683i | \(0.201931\pi\) | |||||||
\(840\) | 1.64926e11 | + | 2.85661e11i | 0.0114297 | + | 0.0197968i | ||||
\(841\) | −1.19087e13 | + | 2.06265e13i | −0.820888 | + | 1.42182i | ||||
\(842\) | 6.61248e12 | + | 1.14531e13i | 0.453377 | + | 0.785272i | ||||
\(843\) | −9.18069e11 | −0.0626111 | ||||||||
\(844\) | 3.35790e12 | 0.227786 | ||||||||
\(845\) | −7.89481e11 | − | 1.36742e12i | −0.0532705 | − | 0.0922671i | ||||
\(846\) | −4.03660e12 | − | 6.99159e12i | −0.270925 | − | 0.469255i | ||||
\(847\) | 1.07224e13 | 0.715842 | ||||||||
\(848\) | −3.37661e12 | −0.224233 | ||||||||
\(849\) | 1.04233e12 | + | 1.80537e12i | 0.0688528 | + | 0.119257i | ||||
\(850\) | −2.31836e12 | + | 4.01552e12i | −0.152334 | + | 0.263849i | ||||
\(851\) | 1.08957e13 | + | 1.88718e13i | 0.712148 | + | 1.23348i | ||||
\(852\) | 3.77980e10 | − | 6.54681e10i | 0.00245749 | − | 0.00425649i | ||||
\(853\) | 1.26874e13 | − | 2.19752e13i | 0.820544 | − | 1.42122i | −0.0847341 | − | 0.996404i | \(-0.527004\pi\) |
0.905278 | − | 0.424820i | \(-0.139663\pi\) | |||||||
\(854\) | −4.96089e12 | −0.319153 | ||||||||
\(855\) | −7.69545e12 | + | 2.14725e12i | −0.492478 | + | 0.137415i | ||||
\(856\) | 9.39841e12 | 0.598305 | ||||||||
\(857\) | 7.20696e12 | − | 1.24828e13i | 0.456392 | − | 0.790494i | −0.542375 | − | 0.840137i | \(-0.682475\pi\) |
0.998767 | + | 0.0496422i | \(0.0158081\pi\) | |||||||
\(858\) | −2.78642e12 | + | 4.82621e12i | −0.175531 | + | 0.304028i | ||||
\(859\) | 1.44971e13 | + | 2.51096e13i | 0.908470 | + | 1.57352i | 0.816191 | + | 0.577783i | \(0.196082\pi\) |
0.0922792 | + | 0.995733i | \(0.470585\pi\) | |||||||
\(860\) | −2.76469e12 | + | 4.78858e12i | −0.172347 | + | 0.298513i | ||||
\(861\) | −1.68344e12 | − | 2.91581e12i | −0.104396 | − | 0.180819i | ||||
\(862\) | −1.36666e13 | −0.843099 | ||||||||
\(863\) | −2.21097e13 | −1.35686 | −0.678430 | − | 0.734665i | \(-0.737339\pi\) | ||||
−0.678430 | + | 0.734665i | \(0.737339\pi\) | |||||||
\(864\) | 8.73933e11 | + | 1.51370e12i | 0.0533539 | + | 0.0924117i | ||||
\(865\) | 5.67100e12 | + | 9.82246e12i | 0.344419 | + | 0.596551i | ||||
\(866\) | −9.26021e12 | −0.559487 | ||||||||
\(867\) | −3.14340e12 | −0.188936 | ||||||||
\(868\) | 1.74761e12 | + | 3.02695e12i | 0.104498 | + | 0.180995i | ||||
\(869\) | 1.43832e13 | − | 2.49124e13i | 0.855590 | − | 1.48193i | ||||
\(870\) | 1.75560e12 | + | 3.04079e12i | 0.103894 | + | 0.179949i | ||||
\(871\) | 1.40060e13 | − | 2.42590e13i | 0.824577 | − | 1.42821i | ||||
\(872\) | −2.96179e12 | + | 5.12997e12i | −0.173472 | + | 0.300463i | ||||
\(873\) | 6.11023e12 | 0.356036 | ||||||||
\(874\) | −1.16378e13 | + | 3.24727e12i | −0.674635 | + | 0.188242i | ||||
\(875\) | 5.91282e12 | 0.341003 | ||||||||
\(876\) | −8.56794e11 | + | 1.48401e12i | −0.0491595 | + | 0.0851468i | ||||
\(877\) | −7.91652e12 | + | 1.37118e13i | −0.451893 | + | 0.782702i | −0.998504 | − | 0.0546849i | \(-0.982585\pi\) |
0.546610 | + | 0.837387i | \(0.315918\pi\) | |||||||
\(878\) | −5.85567e12 | − | 1.01423e13i | −0.332546 | − | 0.575986i | ||||
\(879\) | −7.46100e10 | + | 1.29228e11i | −0.00421548 | + | 0.00730143i | ||||
\(880\) | −2.19126e12 | − | 3.79537e12i | −0.123175 | − | 0.213345i | ||||
\(881\) | −8.35418e12 | −0.467210 | −0.233605 | − | 0.972332i | \(-0.575052\pi\) | ||||
−0.233605 | + | 0.972332i | \(0.575052\pi\) | |||||||
\(882\) | 9.96326e12 | 0.554361 | ||||||||
\(883\) | −4.64781e12 | − | 8.05024e12i | −0.257291 | − | 0.445642i | 0.708224 | − | 0.705988i | \(-0.249497\pi\) |
−0.965515 | + | 0.260346i | \(0.916163\pi\) | |||||||
\(884\) | −2.60615e12 | − | 4.51399e12i | −0.143537 | − | 0.248614i | ||||
\(885\) | 7.36284e11 | 0.0403460 | ||||||||
\(886\) | −3.95409e12 | −0.215573 | ||||||||
\(887\) | −3.82352e12 | − | 6.62253e12i | −0.207399 | − | 0.359226i | 0.743495 | − | 0.668741i | \(-0.233167\pi\) |
−0.950894 | + | 0.309515i | \(0.899833\pi\) | |||||||
\(888\) | 1.49719e12 | − | 2.59320e12i | 0.0808011 | − | 0.139952i | ||||
\(889\) | 4.56039e12 | + | 7.89883e12i | 0.244875 | + | 0.424136i | ||||
\(890\) | 2.74248e12 | − | 4.75012e12i | 0.146517 | − | 0.253776i | ||||
\(891\) | 1.15231e13 | − | 1.99585e13i | 0.612517 | − | 1.06091i | ||||
\(892\) | 1.46724e13 | 0.775995 | ||||||||
\(893\) | −1.15719e13 | − | 1.13357e13i | −0.608936 | − | 0.596509i | ||||
\(894\) | −2.11114e12 | −0.110534 | ||||||||
\(895\) | 3.50122e12 | − | 6.06429e12i | 0.182396 | − | 0.315919i | ||||
\(896\) | −3.04912e11 | + | 5.28123e11i | −0.0158048 | + | 0.0273747i | ||||
\(897\) | 2.75180e12 | + | 4.76625e12i | 0.141922 | + | 0.245817i | ||||
\(898\) | 9.22146e12 | − | 1.59720e13i | 0.473212 | − | 0.819628i | ||||
\(899\) | 1.86029e13 | + | 3.22211e13i | 0.949864 | + | 1.64521i | ||||
\(900\) | 5.98515e12 | 0.304077 | ||||||||
\(901\) | 1.13002e13 | 0.571248 | ||||||||
\(902\) | 2.23667e13 | + | 3.87402e13i | 1.12505 | + | 1.94864i | ||||
\(903\) | 1.37651e12 | + | 2.38418e12i | 0.0688944 | + | 0.119329i | ||||
\(904\) | 9.75865e12 | 0.485995 | ||||||||
\(905\) | 1.12228e13 | 0.556136 | ||||||||
\(906\) | 1.40675e12 | + | 2.43657e12i | 0.0693650 | + | 0.120144i | ||||
\(907\) | −1.22995e13 | + | 2.13033e13i | −0.603466 | + | 1.04523i | 0.388826 | + | 0.921311i | \(0.372881\pi\) |
−0.992292 | + | 0.123923i | \(0.960453\pi\) | |||||||
\(908\) | −4.28830e12 | − | 7.42756e12i | −0.209363 | − | 0.362627i | ||||
\(909\) | 1.23476e13 | − | 2.13867e13i | 0.599854 | − | 1.03898i | ||||
\(910\) | −1.34107e12 | + | 2.32281e12i | −0.0648286 | + | 0.112286i | ||||
\(911\) | −1.35767e13 | −0.653074 | −0.326537 | − | 0.945184i | \(-0.605882\pi\) | ||||
−0.326537 | + | 0.945184i | \(0.605882\pi\) | |||||||
\(912\) | 1.18601e12 | + | 1.16181e12i | 0.0567692 | + | 0.0556107i | ||||
\(913\) | 1.69538e13 | 0.807513 | ||||||||
\(914\) | −7.44124e12 | + | 1.28886e13i | −0.352685 | + | 0.610869i | ||||
\(915\) | −2.41903e12 | + | 4.18989e12i | −0.114090 | + | 0.197609i | ||||
\(916\) | −9.31246e12 | − | 1.61297e13i | −0.437054 | − | 0.756999i | ||||
\(917\) | 3.56599e12 | − | 6.17648e12i | 0.166540 | − | 0.288456i | ||||
\(918\) | −2.92471e12 | − | 5.06575e12i | −0.135922 | − | 0.235425i | ||||
\(919\) | −4.08482e12 | −0.188909 | −0.0944546 | − | 0.995529i | \(-0.530111\pi\) | ||||
−0.0944546 | + | 0.995529i | \(0.530111\pi\) | |||||||
\(920\) | −4.32806e12 | −0.199181 | ||||||||
\(921\) | −3.06047e12 | − | 5.30088e12i | −0.140158 | − | 0.242761i | ||||
\(922\) | 1.00221e13 | + | 1.73588e13i | 0.456741 | + | 0.791098i | ||||
\(923\) | 6.14698e11 | 0.0278775 | ||||||||
\(924\) | −2.18200e12 | −0.0984763 | ||||||||
\(925\) | −1.08298e13 | − | 1.87577e13i | −0.486386 | − | 0.842446i | ||||
\(926\) | −8.70636e12 | + | 1.50799e13i | −0.389123 | + | 0.673981i | ||||
\(927\) | −3.06538e12 | − | 5.30939e12i | −0.136341 | − | 0.236149i | ||||
\(928\) | −3.24570e12 | + | 5.62172e12i | −0.143662 | + | 0.248830i | ||||
\(929\) | −4.75840e12 | + | 8.24179e12i | −0.209599 | + | 0.363037i | −0.951588 | − | 0.307375i | \(-0.900549\pi\) |
0.741989 | + | 0.670412i | \(0.233883\pi\) | |||||||
\(930\) | 3.40869e12 | 0.149422 | ||||||||
\(931\) | 1.92559e13 | − | 5.37293e12i | 0.840019 | − | 0.234389i | ||||
\(932\) | −3.81505e12 | −0.165626 | ||||||||
\(933\) | 2.76303e12 | − | 4.78571e12i | 0.119376 | − | 0.206766i | ||||
\(934\) | 9.73218e12 | − | 1.68566e13i | 0.418455 | − | 0.724786i | ||||
\(935\) | 7.33328e12 | + | 1.27016e13i | 0.313795 | + | 0.543509i | ||||
\(936\) | −3.36406e12 | + | 5.82672e12i | −0.143259 | + | 0.248132i | ||||
\(937\) | 4.94989e12 | + | 8.57346e12i | 0.209781 | + | 0.363352i | 0.951646 | − | 0.307198i | \(-0.0993914\pi\) |
−0.741864 | + | 0.670550i | \(0.766058\pi\) | |||||||
\(938\) | 1.09679e13 | 0.462605 | ||||||||
\(939\) | −2.12423e12 | −0.0891675 | ||||||||
\(940\) | −2.90135e12 | − | 5.02528e12i | −0.121206 | − | 0.209935i | ||||
\(941\) | −3.39645e11 | − | 5.88283e11i | −0.0141212 | − | 0.0244587i | 0.858878 | − | 0.512179i | \(-0.171162\pi\) |
−0.873000 | + | 0.487721i | \(0.837828\pi\) | |||||||
\(942\) | −4.10315e12 | −0.169781 | ||||||||
\(943\) | 4.41776e13 | 1.81928 | ||||||||
\(944\) | 6.80612e11 | + | 1.17885e12i | 0.0278949 | + | 0.0483154i | ||||
\(945\) | −1.50500e12 | + | 2.60674e12i | −0.0613894 | + | 0.106330i | ||||
\(946\) | −1.82886e13 | − | 3.16769e13i | −0.742457 | − | 1.28597i | ||||
\(947\) | −2.35799e12 | + | 4.08416e12i | −0.0952723 | + | 0.165017i | −0.909722 | − | 0.415217i | \(-0.863706\pi\) |
0.814450 | + | 0.580234i | \(0.197039\pi\) | |||||||
\(948\) | −1.95186e12 | + | 3.38072e12i | −0.0784893 | + | 0.135947i | ||||
\(949\) | −1.39338e13 | −0.557661 | ||||||||
\(950\) | 1.15674e13 | − | 3.22764e12i | 0.460766 | − | 0.128567i | ||||
\(951\) | 6.71446e12 | 0.266194 | ||||||||
\(952\) | 1.02042e12 | − | 1.76742e12i | 0.0402636 | − | 0.0697387i | ||||
\(953\) | −1.91557e13 | + | 3.31786e13i | −0.752280 | + | 1.30299i | 0.194436 | + | 0.980915i | \(0.437712\pi\) |
−0.946715 | + | 0.322072i | \(0.895621\pi\) | |||||||
\(954\) | −7.29324e12 | − | 1.26323e13i | −0.285071 | − | 0.493757i | ||||
\(955\) | −9.24107e11 | + | 1.60060e12i | −0.0359507 | + | 0.0622684i | ||||
\(956\) | 4.20666e12 | + | 7.28616e12i | 0.162884 | + | 0.282123i | ||||
\(957\) | −2.32269e13 | −0.895131 | ||||||||
\(958\) | −2.64130e13 | −1.01315 | ||||||||
\(959\) | 2.42356e12 | + | 4.19773e12i | 0.0925274 | + | 0.160262i | ||||
\(960\) | 2.97362e11 | + | 5.15047e11i | 0.0112997 | + | 0.0195716i | ||||
\(961\) | 9.67991e12 | 0.366114 | ||||||||
\(962\) | 2.43483e13 | 0.916601 | ||||||||
\(963\) | 2.02999e13 | + | 3.51605e13i | 0.760634 | + | 1.31746i | ||||
\(964\) | −3.83197e12 | + | 6.63717e12i | −0.142914 | + | 0.247535i | ||||
\(965\) | −2.89668e12 | − | 5.01720e12i | −0.107530 | − | 0.186247i | ||||
\(966\) | −1.07745e12 | + | 1.86619e12i | −0.0398106 | + | 0.0689541i | ||||
\(967\) | 9.87774e12 | − | 1.71088e13i | 0.363278 | − | 0.629215i | −0.625221 | − | 0.780448i | \(-0.714991\pi\) |
0.988498 | + | 0.151233i | \(0.0483243\pi\) | |||||||
\(968\) | 1.93325e13 | 0.707700 | ||||||||
\(969\) | −3.96912e12 | − | 3.88813e12i | −0.144623 | − | 0.141672i | ||||
\(970\) | 4.39180e12 | 0.159283 | ||||||||
\(971\) | 1.91224e13 | − | 3.31209e13i | 0.690328 | − | 1.19568i | −0.281402 | − | 0.959590i | \(-0.590800\pi\) |
0.971730 | − | 0.236093i | \(-0.0758671\pi\) | |||||||
\(972\) | −5.76334e12 | + | 9.98240e12i | −0.207098 | + | 0.358705i | ||||
\(973\) | 5.02644e12 | + | 8.70606e12i | 0.179785 | + | 0.311397i | ||||
\(974\) | 1.15298e12 | − | 1.99703e12i | 0.0410495 | − | 0.0710998i | ||||
\(975\) | −2.73516e12 | − | 4.73743e12i | −0.0969308 | − | 0.167889i | ||||
\(976\) | −8.94448e12 | −0.315523 | ||||||||
\(977\) | −5.45645e13 | −1.91595 | −0.957975 | − | 0.286851i | \(-0.907392\pi\) | ||||
−0.957975 | + | 0.286851i | \(0.907392\pi\) | |||||||
\(978\) | 4.54246e12 | + | 7.86776e12i | 0.158769 | + | 0.274996i | ||||
\(979\) | 1.81418e13 | + | 3.14224e13i | 0.631186 | + | 1.09325i | ||||
\(980\) | 7.16121e12 | 0.248010 | ||||||||
\(981\) | −2.55890e13 | −0.882151 | ||||||||
\(982\) | 1.57712e12 | + | 2.73166e12i | 0.0541208 | + | 0.0937400i | ||||
\(983\) | −1.31900e13 | + | 2.28457e13i | −0.450560 | + | 0.780392i | −0.998421 | − | 0.0561770i | \(-0.982109\pi\) |
0.547861 | + | 0.836569i | \(0.315442\pi\) | |||||||
\(984\) | −3.03525e12 | − | 5.25721e12i | −0.103209 | − | 0.178763i | ||||
\(985\) | −2.12338e12 | + | 3.67780e12i | −0.0718728 | + | 0.124487i | ||||
\(986\) | 1.08621e13 | − | 1.88137e13i | 0.365989 | − | 0.633911i | ||||
\(987\) | −2.88910e12 | −0.0969025 | ||||||||
\(988\) | −3.35947e12 | + | 1.30754e13i | −0.112167 | + | 0.436564i | ||||
\(989\) | −3.61229e13 | −1.20060 | ||||||||
\(990\) | 9.46591e12 | − | 1.63954e13i | 0.313187 | − | 0.542456i | ||||
\(991\) | −1.33571e13 | + | 2.31352e13i | −0.439928 | + | 0.761978i | −0.997683 | − | 0.0680277i | \(-0.978329\pi\) |
0.557755 | + | 0.830005i | \(0.311663\pi\) | |||||||
\(992\) | 3.15095e12 | + | 5.45760e12i | 0.103309 | + | 0.178937i | ||||
\(993\) | −2.58289e12 | + | 4.47370e12i | −0.0843014 | + | 0.146014i | ||||
\(994\) | 1.20340e11 | + | 2.08436e11i | 0.00390996 | + | 0.00677225i | ||||
\(995\) | −3.03415e12 | −0.0981372 | ||||||||
\(996\) | −2.30071e12 | −0.0740788 | ||||||||
\(997\) | 2.57950e12 | + | 4.46783e12i | 0.0826814 | + | 0.143208i | 0.904401 | − | 0.426684i | \(-0.140318\pi\) |
−0.821719 | + | 0.569892i | \(0.806985\pi\) | |||||||
\(998\) | −2.02822e13 | − | 3.51298e13i | −0.647183 | − | 1.12095i | ||||
\(999\) | 2.73245e13 | 0.867975 |
(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 | 38.10.c.b.11.4 | yes | 16 | |
19.7 | even | 3 | inner | 38.10.c.b.7.4 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.b.7.4 | ✓ | 16 | 19.7 | even | 3 | inner | |
38.10.c.b.11.4 | yes | 16 | 1.1 | even | 1 | trivial |