Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,12,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(16.9035499723\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} + 339028 x^{18} - 38195378 x^{17} + 220926638311 x^{16} - 35915431412664 x^{15} + \cdots + 11\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{4}\cdot 5\cdot 11^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Root | \(509.799 + 370.390i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.9 |
Dual form | 22.12.c.a.5.1 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.88854 | − | 30.4338i | 0.218508 | − | 0.672499i | ||||
\(3\) | −507.917 | + | 369.023i | −1.20677 | + | 0.876772i | −0.994934 | − | 0.100533i | \(-0.967945\pi\) |
−0.211839 | + | 0.977305i | \(0.567945\pi\) | |||||||
\(4\) | −828.433 | − | 601.892i | −0.404508 | − | 0.293893i | ||||
\(5\) | −2319.38 | − | 7138.31i | −0.331922 | − | 1.02155i | −0.968218 | − | 0.250106i | \(-0.919534\pi\) |
0.636296 | − | 0.771445i | \(-0.280466\pi\) | |||||||
\(6\) | 6208.22 | + | 19106.9i | 0.325938 | + | 1.00313i | ||||
\(7\) | −52039.9 | − | 37809.2i | −1.17030 | − | 0.850272i | −0.179255 | − | 0.983803i | \(-0.557369\pi\) |
−0.991045 | + | 0.133530i | \(0.957369\pi\) | |||||||
\(8\) | −26509.9 | + | 19260.5i | −0.286031 | + | 0.207813i | ||||
\(9\) | 67059.9 | − | 206389.i | 0.378555 | − | 1.16507i | ||||
\(10\) | −240181. | −0.759519 | ||||||||
\(11\) | 477410. | + | 239564.i | 0.893783 | + | 0.448500i | ||||
\(12\) | 642887. | 0.745827 | ||||||||
\(13\) | −594330. | + | 1.82916e6i | −0.443956 | + | 1.36635i | 0.439670 | + | 0.898160i | \(0.355096\pi\) |
−0.883625 | + | 0.468195i | \(0.844904\pi\) | |||||||
\(14\) | −1.66528e6 | + | 1.20989e6i | −0.827527 | + | 0.601233i | ||||
\(15\) | 3.81225e6 | + | 2.76976e6i | 1.29622 | + | 0.941761i | ||||
\(16\) | 324028. | + | 997255.i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 865851. | + | 2.66482e6i | 0.147902 | + | 0.455196i | 0.997373 | − | 0.0724400i | \(-0.0230786\pi\) |
−0.849471 | + | 0.527636i | \(0.823079\pi\) | |||||||
\(18\) | −5.61809e6 | − | 4.08178e6i | −0.700793 | − | 0.509156i | ||||
\(19\) | 1.34387e7 | − | 9.76381e6i | 1.24513 | − | 0.904638i | 0.247198 | − | 0.968965i | \(-0.420490\pi\) |
0.997929 | + | 0.0643272i | \(0.0204901\pi\) | |||||||
\(20\) | −2.37504e6 | + | 7.30963e6i | −0.165961 | + | 0.510776i | ||||
\(21\) | 4.03844e7 | 2.15778 | ||||||||
\(22\) | 1.20117e7 | − | 1.21605e7i | 0.496914 | − | 0.503067i | ||||
\(23\) | −5.10664e7 | −1.65437 | −0.827184 | − | 0.561931i | \(-0.810059\pi\) | ||||
−0.827184 | + | 0.561931i | \(0.810059\pi\) | |||||||
\(24\) | 6.35722e6 | − | 1.95655e7i | 0.162969 | − | 0.501567i | ||||
\(25\) | −6.07313e6 | + | 4.41239e6i | −0.124378 | + | 0.0903657i | ||||
\(26\) | 4.97913e7 | + | 3.61755e7i | 0.821864 | + | 0.597119i | ||||
\(27\) | 7.73379e6 | + | 2.38022e7i | 0.103727 | + | 0.319239i | ||||
\(28\) | 2.03545e7 | + | 6.26448e7i | 0.223507 | + | 0.687885i | ||||
\(29\) | 1.71753e8 | + | 1.24786e8i | 1.55495 | + | 1.12974i | 0.940002 | + | 0.341169i | \(0.110823\pi\) |
0.614948 | + | 0.788568i | \(0.289177\pi\) | |||||||
\(30\) | 1.21992e8 | − | 8.86324e7i | 0.916568 | − | 0.665925i | ||||
\(31\) | −5.45741e6 | + | 1.67962e7i | −0.0342371 | + | 0.105371i | −0.966715 | − | 0.255857i | \(-0.917642\pi\) |
0.932478 | + | 0.361228i | \(0.117642\pi\) | |||||||
\(32\) | 3.35544e7 | 0.176777 | ||||||||
\(33\) | −3.30889e8 | + | 5.44967e7i | −1.47183 | + | 0.242406i | ||||
\(34\) | 8.96625e7 | 0.338436 | ||||||||
\(35\) | −1.49193e8 | + | 4.59170e8i | −0.480148 | + | 1.47775i | ||||
\(36\) | −1.79779e8 | + | 1.30617e8i | −0.495535 | + | 0.360027i | ||||
\(37\) | 1.07788e8 | + | 7.83124e7i | 0.255541 | + | 0.185661i | 0.708179 | − | 0.706033i | \(-0.249517\pi\) |
−0.452638 | + | 0.891694i | \(0.649517\pi\) | |||||||
\(38\) | −1.64261e8 | − | 5.05542e8i | −0.336297 | − | 1.03502i | ||||
\(39\) | −3.73132e8 | − | 1.14838e9i | −0.662228 | − | 2.03813i | ||||
\(40\) | 1.98974e8 | + | 1.44563e8i | 0.307232 | + | 0.223217i | ||||
\(41\) | 1.63127e8 | − | 1.18518e8i | 0.219894 | − | 0.159762i | −0.472385 | − | 0.881392i | \(-0.656607\pi\) |
0.692279 | + | 0.721630i | \(0.256607\pi\) | |||||||
\(42\) | 3.99343e8 | − | 1.22905e9i | 0.471492 | − | 1.45110i | ||||
\(43\) | −7.57086e7 | −0.0785360 | −0.0392680 | − | 0.999229i | \(-0.512503\pi\) | ||||
−0.0392680 | + | 0.999229i | \(0.512503\pi\) | |||||||
\(44\) | −2.51311e8 | − | 4.85813e8i | −0.229732 | − | 0.444098i | ||||
\(45\) | −1.62881e9 | −1.31583 | ||||||||
\(46\) | −5.04972e8 | + | 1.55415e9i | −0.361493 | + | 1.11256i | ||||
\(47\) | −5.46579e8 | + | 3.97113e8i | −0.347628 | + | 0.252567i | −0.747873 | − | 0.663841i | \(-0.768925\pi\) |
0.400245 | + | 0.916408i | \(0.368925\pi\) | |||||||
\(48\) | −5.32589e8 | − | 3.86949e8i | −0.301693 | − | 0.219193i | ||||
\(49\) | 6.67587e8 | + | 2.05462e9i | 0.337621 | + | 1.03909i | ||||
\(50\) | 7.42314e7 | + | 2.28461e8i | 0.0335933 | + | 0.103389i | ||||
\(51\) | −1.42316e9 | − | 1.03399e9i | −0.577587 | − | 0.419642i | ||||
\(52\) | 1.59332e9 | − | 1.15762e9i | 0.581145 | − | 0.422227i | ||||
\(53\) | 2.29106e8 | − | 7.05116e8i | 0.0752522 | − | 0.231603i | −0.906354 | − | 0.422519i | \(-0.861146\pi\) |
0.981606 | + | 0.190916i | \(0.0611460\pi\) | |||||||
\(54\) | 8.00866e8 | 0.237353 | ||||||||
\(55\) | 6.02790e8 | − | 3.96354e9i | 0.161500 | − | 1.06191i | ||||
\(56\) | 2.10780e9 | 0.511440 | ||||||||
\(57\) | −3.22269e9 | + | 9.91841e9i | −0.709425 | + | 2.18338i | ||||
\(58\) | 5.49611e9 | − | 3.99316e9i | 1.09952 | − | 0.798845i | ||||
\(59\) | −3.91055e9 | − | 2.84118e9i | −0.712118 | − | 0.517384i | 0.171738 | − | 0.985143i | \(-0.445062\pi\) |
−0.883856 | + | 0.467758i | \(0.845062\pi\) | |||||||
\(60\) | −1.49110e9 | − | 4.58913e9i | −0.247556 | − | 0.761900i | ||||
\(61\) | 1.69817e9 | + | 5.22642e9i | 0.257434 | + | 0.792302i | 0.993340 | + | 0.115218i | \(0.0367566\pi\) |
−0.735906 | + | 0.677084i | \(0.763243\pi\) | |||||||
\(62\) | 4.57206e8 | + | 3.32179e8i | 0.0633808 | + | 0.0460488i | ||||
\(63\) | −1.12932e10 | + | 8.20499e9i | −1.43365 | + | 1.04161i | ||||
\(64\) | 3.31804e8 | − | 1.02119e9i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 1.44356e10 | 1.54316 | ||||||||
\(66\) | −1.61347e9 | + | 1.06091e10i | −0.158588 | + | 1.04277i | ||||
\(67\) | −2.59710e9 | −0.235005 | −0.117503 | − | 0.993073i | \(-0.537489\pi\) | ||||
−0.117503 | + | 0.993073i | \(0.537489\pi\) | |||||||
\(68\) | 8.86632e8 | − | 2.72877e9i | 0.0739510 | − | 0.227598i | ||||
\(69\) | 2.59375e10 | − | 1.88447e10i | 1.99645 | − | 1.45050i | ||||
\(70\) | 1.24990e10 | + | 9.08105e9i | 0.888865 | + | 0.645798i | ||||
\(71\) | 5.78801e9 | + | 1.78137e10i | 0.380722 | + | 1.17174i | 0.939536 | + | 0.342449i | \(0.111256\pi\) |
−0.558814 | + | 0.829293i | \(0.688744\pi\) | |||||||
\(72\) | 2.19742e9 | + | 6.76296e9i | 0.133839 | + | 0.411916i | ||||
\(73\) | 2.10946e9 | + | 1.53261e9i | 0.119095 | + | 0.0865279i | 0.645739 | − | 0.763559i | \(-0.276550\pi\) |
−0.526643 | + | 0.850086i | \(0.676550\pi\) | |||||||
\(74\) | 3.44921e9 | − | 2.50600e9i | 0.180695 | − | 0.131282i | ||||
\(75\) | 1.45637e9 | − | 4.48225e9i | 0.0708656 | − | 0.218102i | ||||
\(76\) | −1.70099e10 | −0.769531 | ||||||||
\(77\) | −1.57866e10 | − | 3.05174e10i | −0.664646 | − | 1.28484i | ||||
\(78\) | −3.86394e10 | −1.51534 | ||||||||
\(79\) | 7.35147e9 | − | 2.26255e10i | 0.268798 | − | 0.827274i | −0.721996 | − | 0.691897i | \(-0.756775\pi\) |
0.990794 | − | 0.135377i | \(-0.0432247\pi\) | |||||||
\(80\) | 6.36717e9 | − | 4.62602e9i | 0.217246 | − | 0.157838i | ||||
\(81\) | 1.83892e10 | + | 1.33605e10i | 0.585996 | + | 0.425751i | ||||
\(82\) | −1.99388e9 | − | 6.13654e9i | −0.0593914 | − | 0.182788i | ||||
\(83\) | 1.16726e10 | + | 3.59247e10i | 0.325267 | + | 1.00107i | 0.971320 | + | 0.237776i | \(0.0764183\pi\) |
−0.646054 | + | 0.763292i | \(0.723582\pi\) | |||||||
\(84\) | −3.34558e10 | − | 2.43070e10i | −0.872841 | − | 0.634156i | ||||
\(85\) | 1.70140e10 | − | 1.23614e10i | 0.415914 | − | 0.302179i | ||||
\(86\) | −7.48648e8 | + | 2.30410e9i | −0.0171607 | + | 0.0528153i | ||||
\(87\) | −1.33285e11 | −2.86699 | ||||||||
\(88\) | −1.72702e10 | + | 2.84436e9i | −0.348854 | + | 0.0574553i | ||||
\(89\) | 2.38476e8 | 0.00452689 | 0.00226344 | − | 0.999997i | \(-0.499280\pi\) | ||||
0.00226344 | + | 0.999997i | \(0.499280\pi\) | |||||||
\(90\) | −1.61065e10 | + | 4.95708e10i | −0.287520 | + | 0.884896i | ||||
\(91\) | 1.00088e11 | − | 7.27181e10i | 1.68133 | − | 1.22156i | ||||
\(92\) | 4.23051e10 | + | 3.07365e10i | 0.669206 | + | 0.486207i | ||||
\(93\) | −3.42627e9 | − | 1.05450e10i | −0.0510699 | − | 0.157177i | ||||
\(94\) | 6.68079e9 | + | 2.05614e10i | 0.0938912 | + | 0.288967i | ||||
\(95\) | −1.00867e11 | − | 7.32839e10i | −1.33742 | − | 0.971692i | ||||
\(96\) | −1.70429e10 | + | 1.23824e10i | −0.213329 | + | 0.154993i | ||||
\(97\) | −3.47943e10 | + | 1.07086e11i | −0.411400 | + | 1.26616i | 0.504032 | + | 0.863685i | \(0.331849\pi\) |
−0.915432 | + | 0.402473i | \(0.868151\pi\) | |||||||
\(98\) | 6.91314e10 | 0.772559 | ||||||||
\(99\) | 8.14586e10 | − | 8.24672e10i | 0.860882 | − | 0.871540i | ||||
\(100\) | 7.68697e9 | 0.0768697 | ||||||||
\(101\) | −4.49917e10 | + | 1.38470e11i | −0.425956 | + | 1.31096i | 0.476120 | + | 0.879380i | \(0.342043\pi\) |
−0.902076 | + | 0.431577i | \(0.857957\pi\) | |||||||
\(102\) | −4.55411e10 | + | 3.30875e10i | −0.408416 | + | 0.296731i | ||||
\(103\) | 1.27752e11 | + | 9.28171e10i | 1.08583 | + | 0.788903i | 0.978690 | − | 0.205341i | \(-0.0658304\pi\) |
0.107141 | + | 0.994244i | \(0.465830\pi\) | |||||||
\(104\) | −1.94750e10 | − | 5.99379e10i | −0.156962 | − | 0.483079i | ||||
\(105\) | −9.36666e10 | − | 2.88276e11i | −0.716215 | − | 2.20428i | ||||
\(106\) | −1.91938e10 | − | 1.39451e10i | −0.139309 | − | 0.101214i | ||||
\(107\) | 8.07385e10 | − | 5.86599e10i | 0.556506 | − | 0.404325i | −0.273673 | − | 0.961823i | \(-0.588238\pi\) |
0.830179 | + | 0.557498i | \(0.188238\pi\) | |||||||
\(108\) | 7.91940e9 | − | 2.43734e10i | 0.0518635 | − | 0.159619i | ||||
\(109\) | −6.60264e10 | −0.411028 | −0.205514 | − | 0.978654i | \(-0.565887\pi\) | ||||
−0.205514 | + | 0.978654i | \(0.565887\pi\) | |||||||
\(110\) | −1.14665e11 | − | 5.75388e10i | −0.678845 | − | 0.340644i | ||||
\(111\) | −8.36463e10 | −0.471162 | ||||||||
\(112\) | 2.08430e10 | − | 6.41483e10i | 0.111754 | − | 0.343942i | ||||
\(113\) | 1.51268e11 | − | 1.09903e11i | 0.772353 | − | 0.561147i | −0.130321 | − | 0.991472i | \(-0.541601\pi\) |
0.902674 | + | 0.430324i | \(0.141601\pi\) | |||||||
\(114\) | 2.69987e11 | + | 1.96157e11i | 1.31331 | + | 0.954174i | ||||
\(115\) | 1.18442e11 | + | 3.64528e11i | 0.549121 | + | 1.69002i | ||||
\(116\) | −6.71785e10 | − | 2.06754e11i | −0.296969 | − | 0.913976i | ||||
\(117\) | 3.37663e11 | + | 2.45327e11i | 1.42384 | + | 1.03448i | ||||
\(118\) | −1.25138e11 | + | 9.09179e10i | −0.503544 | + | 0.365846i | ||||
\(119\) | 5.56957e10 | − | 1.71414e11i | 0.213951 | − | 0.658472i | ||||
\(120\) | −1.54409e11 | −0.566470 | ||||||||
\(121\) | 1.70529e11 | + | 2.28741e11i | 0.597695 | + | 0.801723i | ||||
\(122\) | 1.75852e11 | 0.589073 | ||||||||
\(123\) | −3.91187e10 | + | 1.20395e11i | −0.125287 | + | 0.385594i | ||||
\(124\) | 1.46306e10 | − | 1.06297e10i | 0.0448170 | − | 0.0325614i | ||||
\(125\) | −2.50912e11 | − | 1.82298e11i | −0.735386 | − | 0.534290i | ||||
\(126\) | 1.38036e11 | + | 4.24830e11i | 0.387216 | + | 1.19173i | ||||
\(127\) | 1.91865e11 | + | 5.90501e11i | 0.515319 | + | 1.58599i | 0.782701 | + | 0.622397i | \(0.213841\pi\) |
−0.267383 | + | 0.963590i | \(0.586159\pi\) | |||||||
\(128\) | −2.77976e10 | − | 2.01961e10i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 3.84537e10 | − | 2.79382e10i | 0.0947751 | − | 0.0688582i | ||||
\(130\) | 1.42747e11 | − | 4.39330e11i | 0.337193 | − | 1.03777i | ||||
\(131\) | −4.56935e11 | −1.03482 | −0.517408 | − | 0.855739i | \(-0.673103\pi\) | ||||
−0.517408 | + | 0.855739i | \(0.673103\pi\) | |||||||
\(132\) | 3.06921e11 | + | 1.54013e11i | 0.666607 | + | 0.334503i | ||||
\(133\) | −1.06851e12 | −2.22636 | ||||||||
\(134\) | −2.56815e10 | + | 7.90397e10i | −0.0513505 | + | 0.158041i | ||||
\(135\) | 1.51970e11 | − | 1.10412e11i | 0.291690 | − | 0.211925i | ||||
\(136\) | −7.42794e10 | − | 5.39672e10i | −0.136900 | − | 0.0994639i | ||||
\(137\) | −7.27689e10 | − | 2.23960e11i | −0.128820 | − | 0.396467i | 0.865758 | − | 0.500463i | \(-0.166837\pi\) |
−0.994578 | + | 0.103996i | \(0.966837\pi\) | |||||||
\(138\) | −3.17032e11 | − | 9.75723e11i | −0.539222 | − | 1.65955i | ||||
\(139\) | −3.16207e11 | − | 2.29738e11i | −0.516880 | − | 0.375535i | 0.298547 | − | 0.954395i | \(-0.403498\pi\) |
−0.815427 | + | 0.578860i | \(0.803498\pi\) | |||||||
\(140\) | 3.99968e11 | − | 2.90594e11i | 0.628523 | − | 0.456648i | ||||
\(141\) | 1.31073e11 | − | 4.03401e11i | 0.198065 | − | 0.609581i | ||||
\(142\) | 5.99372e11 | 0.871186 | ||||||||
\(143\) | −7.21941e11 | + | 7.30880e11i | −1.00961 | + | 1.02211i | ||||
\(144\) | 2.27552e11 | 0.306258 | ||||||||
\(145\) | 4.92401e11 | − | 1.51545e12i | 0.637962 | − | 1.96345i | ||||
\(146\) | 6.75026e10 | − | 4.90435e10i | 0.0842132 | − | 0.0611844i | ||||
\(147\) | −1.09728e12 | − | 7.97221e11i | −1.31848 | − | 0.957929i | ||||
\(148\) | −4.21594e10 | − | 1.29753e11i | −0.0488039 | − | 0.150203i | ||||
\(149\) | 1.81979e11 | + | 5.60075e11i | 0.203001 | + | 0.624772i | 0.999790 | + | 0.0205143i | \(0.00653035\pi\) |
−0.796789 | + | 0.604258i | \(0.793470\pi\) | |||||||
\(150\) | −1.22011e11 | − | 8.86459e10i | −0.131188 | − | 0.0953140i | ||||
\(151\) | −8.55783e11 | + | 6.21763e11i | −0.887137 | + | 0.644542i | −0.935130 | − | 0.354305i | \(-0.884717\pi\) |
0.0479933 | + | 0.998848i | \(0.484717\pi\) | |||||||
\(152\) | −1.68203e11 | + | 5.17675e11i | −0.168149 | + | 0.517508i | ||||
\(153\) | 6.08053e11 | 0.586326 | ||||||||
\(154\) | −1.08487e12 | + | 1.78675e11i | −1.00928 | + | 0.166226i | ||||
\(155\) | 1.32554e11 | 0.119006 | ||||||||
\(156\) | −3.82087e11 | + | 1.17594e12i | −0.331114 | + | 1.01906i | ||||
\(157\) | 2.21927e11 | − | 1.61239e11i | 0.185678 | − | 0.134903i | −0.491063 | − | 0.871124i | \(-0.663392\pi\) |
0.676741 | + | 0.736221i | \(0.263392\pi\) | |||||||
\(158\) | −6.15885e11 | − | 4.47467e11i | −0.497606 | − | 0.361532i | ||||
\(159\) | 1.43837e11 | + | 4.42686e11i | 0.112250 | + | 0.345471i | ||||
\(160\) | −7.78254e10 | − | 2.39522e11i | −0.0586761 | − | 0.180586i | ||||
\(161\) | 2.65749e12 | + | 1.93078e12i | 1.93611 | + | 1.40666i | ||||
\(162\) | 5.88454e11 | − | 4.27536e11i | 0.414362 | − | 0.301051i | ||||
\(163\) | −3.47015e11 | + | 1.06800e12i | −0.236220 | + | 0.727010i | 0.760737 | + | 0.649060i | \(0.224837\pi\) |
−0.996957 | + | 0.0779500i | \(0.975163\pi\) | |||||||
\(164\) | −2.06475e11 | −0.135902 | ||||||||
\(165\) | 1.15647e12 | + | 2.23559e12i | 0.736161 | + | 1.42309i | ||||
\(166\) | 1.20875e12 | 0.744290 | ||||||||
\(167\) | 6.36072e11 | − | 1.95763e12i | 0.378936 | − | 1.16624i | −0.561849 | − | 0.827240i | \(-0.689910\pi\) |
0.940785 | − | 0.339005i | \(-0.110090\pi\) | |||||||
\(168\) | −1.07058e12 | + | 7.77825e11i | −0.617192 | + | 0.448416i | ||||
\(169\) | −1.54271e12 | − | 1.12085e12i | −0.860811 | − | 0.625416i | ||||
\(170\) | −2.07961e11 | − | 6.40039e11i | −0.112334 | − | 0.345730i | ||||
\(171\) | −1.11395e12 | − | 3.42837e12i | −0.582620 | − | 1.79312i | ||||
\(172\) | 6.27195e10 | + | 4.55684e10i | 0.0317685 | + | 0.0230811i | ||||
\(173\) | 1.12041e12 | − | 8.14022e11i | 0.549695 | − | 0.399377i | −0.277978 | − | 0.960587i | \(-0.589664\pi\) |
0.827673 | + | 0.561211i | \(0.189664\pi\) | |||||||
\(174\) | −1.31800e12 | + | 4.05638e12i | −0.626461 | + | 1.92805i | ||||
\(175\) | 4.82874e11 | 0.222395 | ||||||||
\(176\) | −8.42126e10 | + | 5.53725e11i | −0.0375887 | + | 0.247158i | ||||
\(177\) | 3.03470e12 | 1.31299 | ||||||||
\(178\) | 2.35818e9 | − | 7.25773e9i | 0.000989161 | − | 0.00304432i | ||||
\(179\) | 2.07895e12 | − | 1.51045e12i | 0.845576 | − | 0.614347i | −0.0783468 | − | 0.996926i | \(-0.524964\pi\) |
0.923923 | + | 0.382579i | \(0.124964\pi\) | |||||||
\(180\) | 1.34936e12 | + | 9.80366e11i | 0.532266 | + | 0.386714i | ||||
\(181\) | 1.30389e12 | + | 4.01296e12i | 0.498895 | + | 1.53544i | 0.810798 | + | 0.585327i | \(0.199034\pi\) |
−0.311903 | + | 0.950114i | \(0.600966\pi\) | |||||||
\(182\) | −1.22337e12 | − | 3.76513e12i | −0.454113 | − | 1.39762i | ||||
\(183\) | −2.79120e12 | − | 2.02792e12i | −1.00533 | − | 0.730417i | ||||
\(184\) | 1.35376e12 | − | 9.83567e11i | 0.473200 | − | 0.343800i | ||||
\(185\) | 3.09018e11 | − | 9.51058e11i | 0.104843 | − | 0.322673i | ||||
\(186\) | −3.54804e11 | −0.116861 | ||||||||
\(187\) | −2.25029e11 | + | 1.47964e12i | −0.0719630 | + | 0.473180i | ||||
\(188\) | 6.91824e11 | 0.214846 | ||||||||
\(189\) | 4.97475e11 | − | 1.53107e12i | 0.150048 | − | 0.461801i | ||||
\(190\) | −3.22773e12 | + | 2.34508e12i | −0.945698 | + | 0.687090i | ||||
\(191\) | 3.51125e12 | + | 2.55107e12i | 0.999489 | + | 0.726172i | 0.961979 | − | 0.273125i | \(-0.0880571\pi\) |
0.0375108 | + | 0.999296i | \(0.488057\pi\) | |||||||
\(192\) | 2.08313e11 | + | 6.41123e11i | 0.0576183 | + | 0.177331i | ||||
\(193\) | −4.22784e11 | − | 1.30120e12i | −0.113646 | − | 0.349766i | 0.878016 | − | 0.478631i | \(-0.158867\pi\) |
−0.991662 | + | 0.128865i | \(0.958867\pi\) | |||||||
\(194\) | 2.91497e12 | + | 2.11785e12i | 0.761596 | + | 0.553332i | ||||
\(195\) | −7.33208e12 | + | 5.32706e12i | −1.86224 | + | 1.35300i | ||||
\(196\) | 6.83609e11 | − | 2.10393e12i | 0.168810 | − | 0.519545i | ||||
\(197\) | 7.39585e12 | 1.77592 | 0.887961 | − | 0.459919i | \(-0.152122\pi\) | ||||
0.887961 | + | 0.459919i | \(0.152122\pi\) | |||||||
\(198\) | −1.70428e12 | − | 3.29458e12i | −0.398000 | − | 0.769380i | ||||
\(199\) | −7.73892e12 | −1.75788 | −0.878939 | − | 0.476935i | \(-0.841748\pi\) | ||||
−0.878939 | + | 0.476935i | \(0.841748\pi\) | |||||||
\(200\) | 7.60129e10 | − | 2.33944e11i | 0.0167966 | − | 0.0516947i | ||||
\(201\) | 1.31911e12 | − | 9.58390e11i | 0.283598 | − | 0.206046i | ||||
\(202\) | 3.76927e12 | + | 2.73854e12i | 0.788542 | + | 0.572909i | ||||
\(203\) | −4.21996e12 | − | 1.29877e13i | −0.859173 | − | 2.64426i | ||||
\(204\) | 5.56645e11 | + | 1.71318e12i | 0.110309 | + | 0.339497i | ||||
\(205\) | −1.22437e12 | − | 8.89559e11i | −0.236193 | − | 0.171604i | ||||
\(206\) | 4.08806e12 | − | 2.97015e12i | 0.767799 | − | 0.557838i | ||||
\(207\) | −3.42451e12 | + | 1.05396e13i | −0.626270 | + | 1.92746i | ||||
\(208\) | −2.01672e12 | −0.359168 | ||||||||
\(209\) | 8.75485e12 | − | 1.44190e12i | 1.51860 | − | 0.250110i | ||||
\(210\) | −9.69957e12 | −1.63888 | ||||||||
\(211\) | −1.24769e12 | + | 3.83999e12i | −0.205377 | + | 0.632086i | 0.794320 | + | 0.607499i | \(0.207827\pi\) |
−0.999698 | + | 0.0245873i | \(0.992173\pi\) | |||||||
\(212\) | −6.14203e11 | + | 4.46244e11i | −0.0985064 | + | 0.0715691i | ||||
\(213\) | −9.51347e12 | − | 6.91194e12i | −1.48680 | − | 1.08022i | ||||
\(214\) | −9.86859e11 | − | 3.03724e12i | −0.150307 | − | 0.462598i | ||||
\(215\) | 1.75597e11 | + | 5.40431e11i | 0.0260678 | + | 0.0802285i | ||||
\(216\) | −6.63464e11 | − | 4.82035e11i | −0.0960112 | − | 0.0697562i | ||||
\(217\) | 9.19052e11 | − | 6.67731e11i | 0.129662 | − | 0.0942048i | ||||
\(218\) | −6.52905e11 | + | 2.00943e12i | −0.0898130 | + | 0.276416i | ||||
\(219\) | −1.63700e12 | −0.219586 | ||||||||
\(220\) | −2.88500e12 | + | 2.92072e12i | −0.377416 | + | 0.382089i | ||||
\(221\) | −5.38898e12 | −0.687621 | ||||||||
\(222\) | −8.27140e11 | + | 2.54568e12i | −0.102953 | + | 0.316856i | ||||
\(223\) | 6.67423e12 | − | 4.84911e12i | 0.810447 | − | 0.588824i | −0.103513 | − | 0.994628i | \(-0.533008\pi\) |
0.913960 | + | 0.405804i | \(0.133008\pi\) | |||||||
\(224\) | −1.74617e12 | − | 1.26867e12i | −0.206882 | − | 0.150308i | ||||
\(225\) | 5.03406e11 | + | 1.54932e12i | 0.0581988 | + | 0.179118i | ||||
\(226\) | −1.84894e12 | − | 5.69044e12i | −0.208605 | − | 0.642021i | ||||
\(227\) | −1.08253e13 | − | 7.86506e12i | −1.19206 | − | 0.866083i | −0.198581 | − | 0.980085i | \(-0.563633\pi\) |
−0.993481 | + | 0.114001i | \(0.963633\pi\) | |||||||
\(228\) | 8.63959e12 | − | 6.27703e12i | 0.928649 | − | 0.674703i | ||||
\(229\) | −8.46023e11 | + | 2.60379e12i | −0.0887742 | + | 0.273219i | −0.985581 | − | 0.169203i | \(-0.945881\pi\) |
0.896807 | + | 0.442422i | \(0.145881\pi\) | |||||||
\(230\) | 1.22652e13 | 1.25652 | ||||||||
\(231\) | 1.92799e13 | + | 9.67466e12i | 1.92859 | + | 0.967765i | ||||
\(232\) | −6.95661e12 | −0.679538 | ||||||||
\(233\) | −3.09681e12 | + | 9.53102e12i | −0.295432 | + | 0.909246i | 0.687644 | + | 0.726048i | \(0.258645\pi\) |
−0.983076 | + | 0.183198i | \(0.941355\pi\) | |||||||
\(234\) | 1.08052e13 | − | 7.85046e12i | 1.00681 | − | 0.731489i | ||||
\(235\) | 4.10244e12 | + | 2.98060e12i | 0.373395 | + | 0.271288i | ||||
\(236\) | 1.52955e12 | + | 4.70746e12i | 0.136002 | + | 0.418573i | ||||
\(237\) | 4.61540e12 | + | 1.42047e13i | 0.400953 | + | 1.23401i | ||||
\(238\) | −4.66603e12 | − | 3.39007e12i | −0.396072 | − | 0.287763i | ||||
\(239\) | −1.36017e12 | + | 9.88222e11i | −0.112825 | + | 0.0819721i | −0.642767 | − | 0.766062i | \(-0.722214\pi\) |
0.529942 | + | 0.848034i | \(0.322214\pi\) | |||||||
\(240\) | −1.52688e12 | + | 4.69927e12i | −0.123778 | + | 0.380950i | ||||
\(241\) | 5.95340e12 | 0.471706 | 0.235853 | − | 0.971789i | \(-0.424212\pi\) | ||||
0.235853 | + | 0.971789i | \(0.424212\pi\) | |||||||
\(242\) | 8.64775e12 | − | 2.92795e12i | 0.669759 | − | 0.226766i | ||||
\(243\) | −1.87040e13 | −1.41612 | ||||||||
\(244\) | 1.73892e12 | − | 5.35186e12i | 0.128717 | − | 0.396151i | ||||
\(245\) | 1.31181e13 | − | 9.53088e12i | 0.949420 | − | 0.689794i | ||||
\(246\) | 3.27725e12 | + | 2.38106e12i | 0.231935 | + | 0.168511i | ||||
\(247\) | 9.87254e12 | + | 3.03845e13i | 0.683275 | + | 2.10290i | ||||
\(248\) | −1.78828e11 | − | 5.50377e11i | −0.0121046 | − | 0.0372543i | ||||
\(249\) | −1.91858e13 | − | 1.39393e13i | −1.27023 | − | 0.922877i | ||||
\(250\) | −8.02917e12 | + | 5.83353e12i | −0.519997 | + | 0.377800i | ||||
\(251\) | 2.43876e12 | − | 7.50572e12i | 0.154512 | − | 0.475540i | −0.843599 | − | 0.536974i | \(-0.819567\pi\) |
0.998111 | + | 0.0614340i | \(0.0195674\pi\) | |||||||
\(252\) | 1.42942e13 | 0.886046 | ||||||||
\(253\) | −2.43796e13 | − | 1.22337e13i | −1.47865 | − | 0.741984i | ||||
\(254\) | 1.98684e13 | 1.17918 | ||||||||
\(255\) | −4.08007e12 | + | 1.25571e13i | −0.236971 | + | 0.729323i | ||||
\(256\) | −8.89524e11 | + | 6.46277e11i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −9.31681e11 | − | 6.76906e11i | −0.0518364 | − | 0.0376614i | 0.561565 | − | 0.827432i | \(-0.310199\pi\) |
−0.613402 | + | 0.789771i | \(0.710199\pi\) | |||||||
\(258\) | −4.70016e11 | − | 1.44656e12i | −0.0255979 | − | 0.0787822i | ||||
\(259\) | −2.64833e12 | − | 8.15074e12i | −0.141197 | − | 0.434558i | ||||
\(260\) | −1.19589e13 | − | 8.68866e12i | −0.624221 | − | 0.453523i | ||||
\(261\) | 3.72723e13 | − | 2.70799e13i | 1.90486 | − | 1.38396i | ||||
\(262\) | −4.51843e12 | + | 1.39063e13i | −0.226115 | + | 0.695912i | ||||
\(263\) | 2.51310e13 | 1.23155 | 0.615777 | − | 0.787921i | \(-0.288842\pi\) | ||||
0.615777 | + | 0.787921i | \(0.288842\pi\) | |||||||
\(264\) | 7.72220e12 | − | 7.81781e12i | 0.370612 | − | 0.375201i | ||||
\(265\) | −5.56472e12 | −0.261572 | ||||||||
\(266\) | −1.05660e13 | + | 3.25189e13i | −0.486477 | + | 1.49722i | ||||
\(267\) | −1.21126e11 | + | 8.80031e10i | −0.00546292 | + | 0.00396905i | ||||
\(268\) | 2.15153e12 | + | 1.56317e12i | 0.0950616 | + | 0.0690663i | ||||
\(269\) | −4.57339e11 | − | 1.40754e12i | −0.0197971 | − | 0.0609291i | 0.940670 | − | 0.339323i | \(-0.110198\pi\) |
−0.960467 | + | 0.278394i | \(0.910198\pi\) | |||||||
\(270\) | −1.85751e12 | − | 5.71683e12i | −0.0787827 | − | 0.242468i | ||||
\(271\) | −1.56713e13 | − | 1.13859e13i | −0.651289 | − | 0.473189i | 0.212421 | − | 0.977178i | \(-0.431865\pi\) |
−0.863710 | + | 0.503989i | \(0.831865\pi\) | |||||||
\(272\) | −2.37694e12 | + | 1.72695e12i | −0.0968032 | + | 0.0703316i | ||||
\(273\) | −2.40017e13 | + | 7.38695e13i | −0.957959 | + | 2.94829i | ||||
\(274\) | −7.53552e12 | −0.294771 | ||||||||
\(275\) | −3.95643e12 | + | 6.51613e11i | −0.151696 | + | 0.0249839i | ||||
\(276\) | −3.28299e13 | −1.23387 | ||||||||
\(277\) | −8.13063e11 | + | 2.50235e12i | −0.0299561 | + | 0.0921955i | −0.964917 | − | 0.262556i | \(-0.915435\pi\) |
0.934961 | + | 0.354752i | \(0.115435\pi\) | |||||||
\(278\) | −1.01186e13 | + | 7.35160e12i | −0.365489 | + | 0.265544i | ||||
\(279\) | 3.10058e12 | + | 2.25270e12i | 0.109804 | + | 0.0797775i | ||||
\(280\) | −4.88877e12 | − | 1.50461e13i | −0.169758 | − | 0.522462i | ||||
\(281\) | −7.74361e12 | − | 2.38324e13i | −0.263669 | − | 0.811489i | −0.991997 | − | 0.126261i | \(-0.959702\pi\) |
0.728328 | − | 0.685228i | \(-0.240298\pi\) | |||||||
\(282\) | −1.09809e13 | − | 7.97809e12i | −0.366664 | − | 0.266397i | ||||
\(283\) | 9.06661e12 | − | 6.58728e12i | 0.296907 | − | 0.215715i | −0.429351 | − | 0.903138i | \(-0.641258\pi\) |
0.726258 | + | 0.687422i | \(0.241258\pi\) | |||||||
\(284\) | 5.92692e12 | − | 1.82412e13i | 0.190361 | − | 0.585871i | ||||
\(285\) | 7.82753e13 | 2.46591 | ||||||||
\(286\) | 1.51045e13 | + | 2.91988e13i | 0.466760 | + | 0.902300i | ||||
\(287\) | −1.29702e13 | −0.393184 | ||||||||
\(288\) | 2.25016e12 | − | 6.92527e12i | 0.0669197 | − | 0.205958i | ||||
\(289\) | 2.13750e13 | − | 1.55298e13i | 0.623689 | − | 0.453136i | ||||
\(290\) | −4.12519e13 | − | 2.99713e13i | −1.18101 | − | 0.858057i | ||||
\(291\) | −2.18446e13 | − | 6.72307e13i | −0.613666 | − | 1.88867i | ||||
\(292\) | −8.25079e11 | − | 2.53933e12i | −0.0227452 | − | 0.0700025i | ||||
\(293\) | −1.25507e13 | − | 9.11862e12i | −0.339544 | − | 0.246693i | 0.404925 | − | 0.914350i | \(-0.367297\pi\) |
−0.744469 | + | 0.667657i | \(0.767297\pi\) | |||||||
\(294\) | −3.51130e13 | + | 2.55111e13i | −0.932304 | + | 0.677358i | ||||
\(295\) | −1.12112e13 | + | 3.45045e13i | −0.292167 | + | 0.899197i | ||||
\(296\) | −4.36578e12 | −0.111675 | ||||||||
\(297\) | −2.00996e12 | + | 1.32161e13i | −0.0504692 | + | 0.331852i | ||||
\(298\) | 1.88447e13 | 0.464516 | ||||||||
\(299\) | 3.03503e13 | − | 9.34087e13i | 0.734466 | − | 2.26045i | ||||
\(300\) | −3.90434e12 | + | 2.83667e12i | −0.0927642 | + | 0.0673972i | ||||
\(301\) | 3.93987e12 | + | 2.86248e12i | 0.0919106 | + | 0.0667770i | ||||
\(302\) | 1.04602e13 | + | 3.21931e13i | 0.239607 | + | 0.737436i | ||||
\(303\) | −2.82467e13 | − | 8.69343e13i | −0.635379 | − | 1.95549i | ||||
\(304\) | 1.40915e13 | + | 1.02381e13i | 0.311282 | + | 0.226159i | ||||
\(305\) | 3.33691e13 | − | 2.42441e13i | 0.723929 | − | 0.525965i | ||||
\(306\) | 6.01276e12 | − | 1.85054e13i | 0.128117 | − | 0.394303i | ||||
\(307\) | −4.74271e13 | −0.992580 | −0.496290 | − | 0.868157i | \(-0.665305\pi\) | ||||
−0.496290 | + | 0.868157i | \(0.665305\pi\) | |||||||
\(308\) | −5.29000e12 | + | 3.47835e13i | −0.108749 | + | 0.715063i | ||||
\(309\) | −9.91390e13 | −2.00204 | ||||||||
\(310\) | 1.31077e12 | − | 4.03412e12i | 0.0260037 | − | 0.0800313i | ||||
\(311\) | −6.99935e13 | + | 5.08533e13i | −1.36419 | + | 0.991144i | −0.366027 | + | 0.930604i | \(0.619282\pi\) |
−0.998166 | + | 0.0605401i | \(0.980718\pi\) | |||||||
\(312\) | 3.20102e13 | + | 2.32568e13i | 0.612968 | + | 0.445347i | ||||
\(313\) | 5.70396e12 | + | 1.75550e13i | 0.107321 | + | 0.330299i | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) |
−0.882948 | + | 0.469472i | \(0.844444\pi\) | |||||||
\(314\) | −2.71259e12 | − | 8.34850e12i | −0.0501500 | − | 0.154346i | ||||
\(315\) | 8.47629e13 | + | 6.15839e13i | 1.53992 | + | 1.11882i | ||||
\(316\) | −1.97083e13 | + | 1.43189e13i | −0.351861 | + | 0.255642i | ||||
\(317\) | −1.51290e13 | + | 4.65624e13i | −0.265452 | + | 0.816976i | 0.726137 | + | 0.687550i | \(0.241314\pi\) |
−0.991589 | + | 0.129427i | \(0.958686\pi\) | |||||||
\(318\) | 1.48950e13 | 0.256856 | ||||||||
\(319\) | 5.21025e13 | + | 1.00720e14i | 0.883100 | + | 1.70713i | ||||
\(320\) | −8.05914e12 | −0.134265 | ||||||||
\(321\) | −1.93616e13 | + | 5.95887e13i | −0.317075 | + | 0.975858i | ||||
\(322\) | 8.50397e13 | − | 6.17849e13i | 1.36903 | − | 0.994661i | ||||
\(323\) | 3.76547e13 | + | 2.73578e13i | 0.595944 | + | 0.432979i | ||||
\(324\) | −7.19262e12 | − | 2.21366e13i | −0.111915 | − | 0.344440i | ||||
\(325\) | −4.46152e12 | − | 1.37311e13i | −0.0682534 | − | 0.210062i | ||||
\(326\) | 2.90719e13 | + | 2.11220e13i | 0.437297 | + | 0.317715i | ||||
\(327\) | 3.35359e13 | − | 2.43653e13i | 0.496018 | − | 0.360378i | ||||
\(328\) | −2.04174e12 | + | 6.28382e12i | −0.0296957 | + | 0.0913939i | ||||
\(329\) | 4.34584e13 | 0.621580 | ||||||||
\(330\) | 7.94734e13 | − | 1.30891e13i | 1.11788 | − | 0.184112i | ||||
\(331\) | 1.33571e14 | 1.84782 | 0.923908 | − | 0.382614i | \(-0.124976\pi\) | ||||
0.923908 | + | 0.382614i | \(0.124976\pi\) | |||||||
\(332\) | 1.19528e13 | − | 3.67869e13i | 0.162633 | − | 0.500534i | ||||
\(333\) | 2.33911e13 | − | 1.69946e13i | 0.313045 | − | 0.227441i | ||||
\(334\) | −5.32883e13 | − | 3.87162e13i | −0.701497 | − | 0.509668i | ||||
\(335\) | 6.02365e12 | + | 1.85389e13i | 0.0780034 | + | 0.240070i | ||||
\(336\) | 1.30857e13 | + | 4.02735e13i | 0.166698 | + | 0.513043i | ||||
\(337\) | 2.00503e13 | + | 1.45674e13i | 0.251279 | + | 0.182565i | 0.706293 | − | 0.707919i | \(-0.250366\pi\) |
−0.455015 | + | 0.890484i | \(0.650366\pi\) | |||||||
\(338\) | −4.93668e13 | + | 3.58671e13i | −0.608686 | + | 0.442236i | ||||
\(339\) | −3.62750e13 | + | 1.11643e14i | −0.440057 | + | 1.35436i | ||||
\(340\) | −2.15352e13 | −0.257049 | ||||||||
\(341\) | −6.62919e12 | + | 6.71127e12i | −0.0778594 | + | 0.0788234i | ||||
\(342\) | −1.15354e14 | −1.33318 | ||||||||
\(343\) | 3.63815e12 | − | 1.11971e13i | 0.0413774 | − | 0.127346i | ||||
\(344\) | 2.00703e12 | − | 1.45819e12i | 0.0224637 | − | 0.0163208i | ||||
\(345\) | −1.94678e14 | − | 1.41442e14i | −2.14443 | − | 1.55802i | ||||
\(346\) | −1.36946e13 | − | 4.21477e13i | −0.148468 | − | 0.456936i | ||||
\(347\) | −4.15802e13 | − | 1.27971e14i | −0.443685 | − | 1.36552i | −0.883920 | − | 0.467639i | \(-0.845105\pi\) |
0.440235 | − | 0.897883i | \(-0.354895\pi\) | |||||||
\(348\) | 1.10418e14 | + | 8.02234e13i | 1.15972 | + | 0.842588i | ||||
\(349\) | −1.05967e14 | + | 7.69899e13i | −1.09555 | + | 0.795964i | −0.980328 | − | 0.197375i | \(-0.936758\pi\) |
−0.115223 | + | 0.993340i | \(0.536758\pi\) | |||||||
\(350\) | 4.77492e12 | − | 1.46957e13i | 0.0485950 | − | 0.149560i | ||||
\(351\) | −4.81344e13 | −0.482244 | ||||||||
\(352\) | 1.60192e13 | + | 8.03845e12i | 0.158000 | + | 0.0792844i | ||||
\(353\) | 8.84088e13 | 0.858489 | 0.429245 | − | 0.903188i | \(-0.358780\pi\) | ||||
0.429245 | + | 0.903188i | \(0.358780\pi\) | |||||||
\(354\) | 3.00087e13 | − | 9.23574e13i | 0.286900 | − | 0.882986i | ||||
\(355\) | 1.13735e14 | − | 8.26331e13i | 1.07062 | − | 0.777854i | ||||
\(356\) | −1.97561e11 | − | 1.43537e11i | −0.00183116 | − | 0.00133042i | ||||
\(357\) | 3.49669e13 | + | 1.07617e14i | 0.319140 | + | 0.982213i | ||||
\(358\) | −2.54108e13 | − | 7.82065e13i | −0.228382 | − | 0.702888i | ||||
\(359\) | −3.26767e13 | − | 2.37410e13i | −0.289213 | − | 0.210126i | 0.433713 | − | 0.901051i | \(-0.357203\pi\) |
−0.722926 | + | 0.690925i | \(0.757203\pi\) | |||||||
\(360\) | 4.31795e13 | − | 3.13717e13i | 0.376369 | − | 0.273448i | ||||
\(361\) | 4.92701e13 | − | 1.51638e14i | 0.422955 | − | 1.30172i | ||||
\(362\) | 1.35023e14 | 1.14159 | ||||||||
\(363\) | −1.71025e14 | − | 5.32521e13i | −1.42421 | − | 0.443456i | ||||
\(364\) | −1.26685e14 | −1.03912 | ||||||||
\(365\) | 6.04762e12 | − | 1.86127e13i | 0.0488623 | − | 0.150383i | ||||
\(366\) | −8.93184e13 | + | 6.48936e13i | −0.710878 | + | 0.516483i | ||||
\(367\) | 1.44320e14 | + | 1.04854e14i | 1.13152 | + | 0.822097i | 0.985915 | − | 0.167246i | \(-0.0534873\pi\) |
0.145605 | + | 0.989343i | \(0.453487\pi\) | |||||||
\(368\) | −1.65469e13 | − | 5.09262e13i | −0.127807 | − | 0.393349i | ||||
\(369\) | −1.35217e13 | − | 4.16154e13i | −0.102893 | − | 0.316672i | ||||
\(370\) | −2.58886e13 | − | 1.88092e13i | −0.194088 | − | 0.141013i | ||||
\(371\) | −3.85825e13 | + | 2.80318e13i | −0.284993 | + | 0.207059i | ||||
\(372\) | −3.50850e12 | + | 1.07980e13i | −0.0255350 | + | 0.0785885i | ||||
\(373\) | −1.38618e13 | −0.0994080 | −0.0497040 | − | 0.998764i | \(-0.515828\pi\) | ||||
−0.0497040 | + | 0.998764i | \(0.515828\pi\) | |||||||
\(374\) | 4.28058e13 | + | 2.14799e13i | 0.302489 | + | 0.151789i | ||||
\(375\) | 1.94714e14 | 1.35589 | ||||||||
\(376\) | 6.84113e12 | − | 2.10548e13i | 0.0469456 | − | 0.144484i | ||||
\(377\) | −3.30332e14 | + | 2.40000e14i | −2.23395 | + | 1.62306i | ||||
\(378\) | −4.16770e13 | − | 3.02801e13i | −0.277774 | − | 0.201815i | ||||
\(379\) | 5.36739e13 | + | 1.65191e14i | 0.352571 | + | 1.08510i | 0.957404 | + | 0.288751i | \(0.0932399\pi\) |
−0.604833 | + | 0.796352i | \(0.706760\pi\) | |||||||
\(380\) | 3.94523e13 | + | 1.21422e14i | 0.255424 | + | 0.786115i | ||||
\(381\) | −3.15360e14 | − | 2.29122e14i | −2.01242 | − | 1.46211i | ||||
\(382\) | 1.12360e14 | − | 8.16343e13i | 0.706746 | − | 0.513481i | ||||
\(383\) | −5.74279e13 | + | 1.76745e14i | −0.356066 | + | 1.09586i | 0.599323 | + | 0.800507i | \(0.295436\pi\) |
−0.955389 | + | 0.295350i | \(0.904564\pi\) | |||||||
\(384\) | 2.15717e13 | 0.131845 | ||||||||
\(385\) | −1.81227e14 | + | 1.83471e14i | −1.09192 | + | 1.10544i | ||||
\(386\) | −4.37810e13 | −0.260049 | ||||||||
\(387\) | −5.07701e12 | + | 1.56254e13i | −0.0297302 | + | 0.0915002i | ||||
\(388\) | 9.32790e13 | − | 6.77712e13i | 0.538529 | − | 0.391264i | ||||
\(389\) | 9.40210e13 | + | 6.83102e13i | 0.535183 | + | 0.388833i | 0.822293 | − | 0.569065i | \(-0.192695\pi\) |
−0.287110 | + | 0.957898i | \(0.592695\pi\) | |||||||
\(390\) | 8.96193e13 | + | 2.75820e14i | 0.502975 | + | 1.54800i | ||||
\(391\) | −4.42159e13 | − | 1.36083e14i | −0.244685 | − | 0.753061i | ||||
\(392\) | −5.72707e13 | − | 4.16096e13i | −0.312507 | − | 0.227049i | ||||
\(393\) | 2.32085e14 | − | 1.68620e14i | 1.24879 | − | 0.907297i | ||||
\(394\) | 7.31342e13 | − | 2.25084e14i | 0.388053 | − | 1.19430i | ||||
\(395\) | −1.78559e14 | −0.934323 | ||||||||
\(396\) | −1.17119e14 | + | 1.92893e13i | −0.604373 | + | 0.0995387i | ||||
\(397\) | −2.40192e14 | −1.22239 | −0.611196 | − | 0.791480i | \(-0.709311\pi\) | ||||
−0.611196 | + | 0.791480i | \(0.709311\pi\) | |||||||
\(398\) | −7.65267e13 | + | 2.35525e14i | −0.384110 | + | 1.18217i | ||||
\(399\) | 5.42715e14 | − | 3.94306e14i | 2.68671 | − | 1.95201i | ||||
\(400\) | −6.36814e12 | − | 4.62672e12i | −0.0310944 | − | 0.0225914i | ||||
\(401\) | −5.08026e13 | − | 1.56354e14i | −0.244677 | − | 0.753037i | −0.995689 | − | 0.0927494i | \(-0.970434\pi\) |
0.751013 | − | 0.660287i | \(-0.229566\pi\) | |||||||
\(402\) | −1.61234e13 | − | 4.96227e13i | −0.0765972 | − | 0.235742i | ||||
\(403\) | −2.74794e13 | − | 1.99650e13i | −0.128774 | − | 0.0935601i | ||||
\(404\) | 1.20617e14 | − | 8.76332e13i | 0.557584 | − | 0.405108i | ||||
\(405\) | 5.27200e13 | − | 1.62256e14i | 0.240421 | − | 0.739941i | ||||
\(406\) | −4.36995e14 | −1.96600 | ||||||||
\(407\) | 3.26981e13 | + | 6.32093e13i | 0.145129 | + | 0.280551i | ||||
\(408\) | 5.76429e13 | 0.252415 | ||||||||
\(409\) | −4.22034e13 | + | 1.29889e14i | −0.182334 | + | 0.561168i | −0.999892 | − | 0.0146788i | \(-0.995327\pi\) |
0.817558 | + | 0.575847i | \(0.195327\pi\) | |||||||
\(410\) | −3.91799e13 | + | 2.84659e13i | −0.167014 | + | 0.121343i | ||||
\(411\) | 1.19607e14 | + | 8.68995e13i | 0.503067 | + | 0.365500i | ||||
\(412\) | −4.99680e13 | − | 1.53786e14i | −0.207375 | − | 0.638236i | ||||
\(413\) | 9.60819e13 | + | 2.95710e14i | 0.393474 | + | 1.21099i | ||||
\(414\) | 2.86895e14 | + | 2.08442e14i | 1.15937 | + | 0.842331i | ||||
\(415\) | 2.29368e14 | − | 1.66646e14i | 0.914679 | − | 0.664553i | ||||
\(416\) | −1.99424e13 | + | 6.13764e13i | −0.0784810 | + | 0.241540i | ||||
\(417\) | 2.45385e14 | 0.953016 | ||||||||
\(418\) | 4.26902e13 | − | 2.80702e14i | 0.163628 | − | 1.07591i | ||||
\(419\) | 7.70866e13 | 0.291610 | 0.145805 | − | 0.989313i | \(-0.453423\pi\) | ||||
0.145805 | + | 0.989313i | \(0.453423\pi\) | |||||||
\(420\) | −9.59146e13 | + | 2.95195e14i | −0.358108 | + | 1.10214i | ||||
\(421\) | 5.02691e13 | − | 3.65227e13i | 0.185246 | − | 0.134589i | −0.491297 | − | 0.870992i | \(-0.663477\pi\) |
0.676544 | + | 0.736403i | \(0.263477\pi\) | |||||||
\(422\) | 1.04528e14 | + | 7.59438e13i | 0.380201 | + | 0.276232i | ||||
\(423\) | 4.53063e13 | + | 1.39438e14i | 0.162662 | + | 0.500623i | ||||
\(424\) | 7.50735e12 | + | 2.31052e13i | 0.0266057 | + | 0.0818839i | ||||
\(425\) | −1.70166e13 | − | 1.23633e13i | −0.0595298 | − | 0.0432509i | ||||
\(426\) | −3.04431e14 | + | 2.21182e14i | −1.05132 | + | 0.763831i | ||||
\(427\) | 1.09234e14 | − | 3.36189e14i | 0.372397 | − | 1.14612i | ||||
\(428\) | −1.02193e14 | −0.343940 | ||||||||
\(429\) | 9.69745e13 | − | 6.37639e14i | 0.322213 | − | 2.11865i | ||||
\(430\) | 1.81838e13 | 0.0596496 | ||||||||
\(431\) | 5.84768e13 | − | 1.79973e14i | 0.189391 | − | 0.582885i | −0.810606 | − | 0.585593i | \(-0.800862\pi\) |
0.999996 | + | 0.00270771i | \(0.000861893\pi\) | |||||||
\(432\) | −2.12309e13 | + | 1.54251e13i | −0.0678902 | + | 0.0493251i | ||||
\(433\) | 4.46149e14 | + | 3.24147e14i | 1.40863 | + | 1.02343i | 0.993520 | + | 0.113658i | \(0.0362569\pi\) |
0.415110 | + | 0.909771i | \(0.363743\pi\) | |||||||
\(434\) | −1.12335e13 | − | 3.45732e13i | −0.0350204 | − | 0.107782i | ||||
\(435\) | 3.09139e14 | + | 9.51432e14i | 0.951619 | + | 2.92878i | ||||
\(436\) | 5.46984e13 | + | 3.97407e13i | 0.166264 | + | 0.120798i | ||||
\(437\) | −6.86268e14 | + | 4.98603e14i | −2.05990 | + | 1.49660i | ||||
\(438\) | −1.61875e13 | + | 4.98201e13i | −0.0479814 | + | 0.147671i | ||||
\(439\) | −9.04594e13 | −0.264788 | −0.132394 | − | 0.991197i | \(-0.542266\pi\) | ||||
−0.132394 | + | 0.991197i | \(0.542266\pi\) | |||||||
\(440\) | 6.03601e13 | + | 1.16683e14i | 0.174486 | + | 0.337301i | ||||
\(441\) | 4.68820e14 | 1.33842 | ||||||||
\(442\) | −5.32892e13 | + | 1.64007e14i | −0.150251 | + | 0.462424i | ||||
\(443\) | −4.49371e13 | + | 3.26487e13i | −0.125137 | + | 0.0909171i | −0.648593 | − | 0.761135i | \(-0.724642\pi\) |
0.523456 | + | 0.852052i | \(0.324642\pi\) | |||||||
\(444\) | 6.92954e13 | + | 5.03461e13i | 0.190589 | + | 0.138471i | ||||
\(445\) | −5.53115e11 | − | 1.70231e12i | −0.00150257 | − | 0.00462445i | ||||
\(446\) | −8.15786e13 | − | 2.51073e14i | −0.218894 | − | 0.673687i | ||||
\(447\) | −2.99111e14 | − | 2.17317e14i | −0.792759 | − | 0.575973i | ||||
\(448\) | −5.58774e13 | + | 4.05973e13i | −0.146287 | + | 0.106284i | ||||
\(449\) | 2.08564e13 | − | 6.41893e13i | 0.0539366 | − | 0.166000i | −0.920460 | − | 0.390838i | \(-0.872185\pi\) |
0.974396 | + | 0.224838i | \(0.0721853\pi\) | |||||||
\(450\) | 5.21298e13 | 0.133173 | ||||||||
\(451\) | 1.06271e14 | − | 1.75026e13i | 0.268191 | − | 0.0441704i | ||||
\(452\) | −1.91465e14 | −0.477340 | ||||||||
\(453\) | 2.05222e14 | − | 6.31607e14i | 0.505456 | − | 1.55563i | ||||
\(454\) | −3.46410e14 | + | 2.51682e14i | −0.842915 | + | 0.612413i | ||||
\(455\) | −7.51226e14 | − | 5.45798e14i | −1.80596 | − | 1.31211i | ||||
\(456\) | −1.05601e14 | − | 3.25006e14i | −0.250820 | − | 0.771943i | ||||
\(457\) | 1.35342e14 | + | 4.16540e14i | 0.317610 | + | 0.977502i | 0.974667 | + | 0.223662i | \(0.0718010\pi\) |
−0.657057 | + | 0.753841i | \(0.728199\pi\) | |||||||
\(458\) | 7.08773e13 | + | 5.14954e13i | 0.164341 | + | 0.119401i | ||||
\(459\) | −5.67321e13 | + | 4.12183e13i | −0.129975 | + | 0.0944322i | ||||
\(460\) | 1.21285e14 | − | 3.73276e14i | 0.274561 | − | 0.845011i | ||||
\(461\) | −1.68549e14 | −0.377027 | −0.188513 | − | 0.982071i | \(-0.560367\pi\) | ||||
−0.188513 | + | 0.982071i | \(0.560367\pi\) | |||||||
\(462\) | 4.85087e14 | − | 4.91093e14i | 1.07223 | − | 1.08551i | ||||
\(463\) | −7.63162e14 | −1.66694 | −0.833472 | − | 0.552562i | \(-0.813650\pi\) | ||||
−0.833472 | + | 0.552562i | \(0.813650\pi\) | |||||||
\(464\) | −6.87907e13 | + | 2.11716e14i | −0.148484 | + | 0.456988i | ||||
\(465\) | −6.73264e13 | + | 4.89155e13i | −0.143613 | + | 0.104341i | ||||
\(466\) | 2.59442e14 | + | 1.88496e14i | 0.546913 | + | 0.397355i | ||||
\(467\) | −5.67025e13 | − | 1.74512e14i | −0.118130 | − | 0.363566i | 0.874457 | − | 0.485103i | \(-0.161218\pi\) |
−0.992587 | + | 0.121537i | \(0.961218\pi\) | |||||||
\(468\) | −1.32071e14 | − | 4.06474e14i | −0.271930 | − | 0.836913i | ||||
\(469\) | 1.35153e14 | + | 9.81943e13i | 0.275026 | + | 0.199818i | ||||
\(470\) | 1.31278e14 | − | 9.53791e13i | 0.264030 | − | 0.191829i | ||||
\(471\) | −5.32193e13 | + | 1.63792e14i | −0.105792 | + | 0.325595i | ||||
\(472\) | 1.58391e14 | 0.311207 | ||||||||
\(473\) | −3.61441e13 | − | 1.81371e13i | −0.0701941 | − | 0.0352234i | ||||
\(474\) | 4.77944e14 | 0.917479 | ||||||||
\(475\) | −3.85335e13 | + | 1.18594e14i | −0.0731178 | + | 0.225034i | ||||
\(476\) | −1.49313e14 | + | 1.08482e14i | −0.280065 | + | 0.203479i | ||||
\(477\) | −1.30165e14 | − | 9.45701e13i | −0.241347 | − | 0.175349i | ||||
\(478\) | 1.66252e13 | + | 5.11673e13i | 0.0304730 | + | 0.0937861i | ||||
\(479\) | 1.91224e13 | + | 5.88526e13i | 0.0346495 | + | 0.106640i | 0.966885 | − | 0.255211i | \(-0.0821449\pi\) |
−0.932236 | + | 0.361851i | \(0.882145\pi\) | |||||||
\(480\) | 1.27918e14 | + | 9.29378e13i | 0.229142 | + | 0.166481i | ||||
\(481\) | −2.07308e14 | + | 1.50618e14i | −0.367128 | + | 0.266734i | ||||
\(482\) | 5.88705e13 | − | 1.81185e14i | 0.103072 | − | 0.317222i | ||||
\(483\) | −2.06229e15 | −3.56976 | ||||||||
\(484\) | −3.59489e12 | − | 2.92137e14i | −0.00615228 | − | 0.499962i | ||||
\(485\) | 8.45114e14 | 1.43000 | ||||||||
\(486\) | −1.84955e14 | + | 5.69233e14i | −0.309433 | + | 0.952337i | ||||
\(487\) | −7.90470e13 | + | 5.74310e13i | −0.130760 | + | 0.0950030i | −0.651243 | − | 0.758869i | \(-0.725752\pi\) |
0.520482 | + | 0.853872i | \(0.325752\pi\) | |||||||
\(488\) | −1.45682e14 | − | 1.05844e14i | −0.238285 | − | 0.173124i | ||||
\(489\) | −2.17863e14 | − | 6.70513e14i | −0.352358 | − | 1.08445i | ||||
\(490\) | −1.60342e14 | − | 4.93481e14i | −0.256430 | − | 0.789209i | ||||
\(491\) | 4.95135e14 | + | 3.59737e14i | 0.783025 | + | 0.568901i | 0.905885 | − | 0.423523i | \(-0.139207\pi\) |
−0.122860 | + | 0.992424i | \(0.539207\pi\) | |||||||
\(492\) | 1.04872e14 | − | 7.61940e13i | 0.164003 | − | 0.119155i | ||||
\(493\) | −1.83819e14 | + | 5.65738e14i | −0.284271 | + | 0.874897i | ||||
\(494\) | 1.02234e15 | 1.56350 | ||||||||
\(495\) | −7.77609e14 | − | 3.90204e14i | −1.17607 | − | 0.590151i | ||||
\(496\) | −1.85184e13 | −0.0276984 | ||||||||
\(497\) | 3.72312e14 | − | 1.14586e15i | 0.550741 | − | 1.69501i | ||||
\(498\) | −6.13945e14 | + | 4.46057e14i | −0.898189 | + | 0.652573i | ||||
\(499\) | 3.87694e14 | + | 2.81676e14i | 0.560965 | + | 0.407565i | 0.831812 | − | 0.555058i | \(-0.187304\pi\) |
−0.270847 | + | 0.962622i | \(0.587304\pi\) | |||||||
\(500\) | 9.81399e13 | + | 3.02043e14i | 0.140446 | + | 0.432249i | ||||
\(501\) | 3.99339e14 | + | 1.22904e15i | 0.565241 | + | 1.73963i | ||||
\(502\) | −2.04312e14 | − | 1.48441e14i | −0.286038 | − | 0.207819i | ||||
\(503\) | −2.40449e13 | + | 1.74696e13i | −0.0332965 | + | 0.0241913i | −0.604309 | − | 0.796750i | \(-0.706551\pi\) |
0.571013 | + | 0.820941i | \(0.306551\pi\) | |||||||
\(504\) | 1.41349e14 | − | 4.35026e14i | 0.193608 | − | 0.595865i | ||||
\(505\) | 1.09280e15 | 1.48059 | ||||||||
\(506\) | −6.13397e14 | + | 6.20992e14i | −0.822079 | + | 0.832258i | ||||
\(507\) | 1.19719e15 | 1.58715 | ||||||||
\(508\) | 1.96470e14 | − | 6.04673e14i | 0.257659 | − | 0.792994i | ||||
\(509\) | −2.23337e14 | + | 1.62264e14i | −0.289743 | + | 0.210511i | −0.723156 | − | 0.690685i | \(-0.757309\pi\) |
0.433413 | + | 0.901195i | \(0.357309\pi\) | |||||||
\(510\) | 3.41816e14 | + | 2.48344e14i | 0.438689 | + | 0.318726i | ||||
\(511\) | −5.18291e13 | − | 1.59514e14i | −0.0658050 | − | 0.202527i | ||||
\(512\) | 1.08726e13 | + | 3.34623e13i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 3.36332e14 | + | 2.44360e14i | 0.417949 | + | 0.303658i | ||||
\(514\) | −2.98138e13 | + | 2.16610e13i | −0.0366539 | + | 0.0266306i | ||||
\(515\) | 3.66253e14 | − | 1.12721e15i | 0.445493 | − | 1.37109i | ||||
\(516\) | −4.86721e13 | −0.0585742 | ||||||||
\(517\) | −3.56077e14 | + | 5.86449e13i | −0.423980 | + | 0.0698285i | ||||
\(518\) | −2.74246e14 | −0.323092 | ||||||||
\(519\) | −2.68680e14 | + | 8.26911e14i | −0.313195 | + | 0.963914i | ||||
\(520\) | −3.82685e14 | + | 2.78037e14i | −0.441391 | + | 0.320689i | ||||
\(521\) | −5.13731e14 | − | 3.73247e14i | −0.586311 | − | 0.425980i | 0.254683 | − | 0.967025i | \(-0.418029\pi\) |
−0.840994 | + | 0.541045i | \(0.818029\pi\) | |||||||
\(522\) | −4.55576e14 | − | 1.40212e15i | −0.514485 | − | 1.58342i | ||||
\(523\) | 4.23784e14 | + | 1.30427e15i | 0.473571 | + | 1.45750i | 0.847875 | + | 0.530196i | \(0.177882\pi\) |
−0.374304 | + | 0.927306i | \(0.622118\pi\) | |||||||
\(524\) | 3.78541e14 | + | 2.75026e14i | 0.418591 | + | 0.304125i | ||||
\(525\) | −2.45260e14 | + | 1.78192e14i | −0.268380 | + | 0.194989i | ||||
\(526\) | 2.48509e14 | − | 7.64832e14i | 0.269104 | − | 0.828218i | ||||
\(527\) | −4.94840e13 | −0.0530282 | ||||||||
\(528\) | −1.61564e14 | − | 3.12323e14i | −0.171340 | − | 0.331220i | ||||
\(529\) | 1.65497e15 | 1.73693 | ||||||||
\(530\) | −5.50270e13 | + | 1.69356e14i | −0.0571555 | + | 0.175907i | ||||
\(531\) | −8.48631e14 | + | 6.16567e14i | −0.872367 | + | 0.633811i | ||||
\(532\) | 8.85191e14 | + | 6.43129e14i | 0.900581 | + | 0.654311i | ||||
\(533\) | 1.19838e14 | + | 3.68824e14i | 0.120669 | + | 0.371381i | ||||
\(534\) | 1.48051e12 | + | 4.55655e12i | 0.00147549 | + | 0.00454108i | ||||
\(535\) | −6.05996e14 | − | 4.40282e14i | −0.597756 | − | 0.434295i | ||||
\(536\) | 6.88488e13 | − | 5.00216e13i | 0.0672187 | − | 0.0488372i | ||||
\(537\) | −4.98544e14 | + | 1.53436e15i | −0.481776 | + | 1.48275i | ||||
\(538\) | −4.73594e13 | −0.0453005 | ||||||||
\(539\) | −1.73501e14 | + | 1.14083e15i | −0.164272 | + | 1.08014i | ||||
\(540\) | −1.92353e14 | −0.180274 | ||||||||
\(541\) | 4.72337e14 | − | 1.45370e15i | 0.438195 | − | 1.34862i | −0.451582 | − | 0.892230i | \(-0.649140\pi\) |
0.889777 | − | 0.456395i | \(-0.150860\pi\) | |||||||
\(542\) | −5.01481e14 | + | 3.64347e14i | −0.460531 | + | 0.334595i | ||||
\(543\) | −2.14314e15 | − | 1.55709e15i | −1.94828 | − | 1.41551i | ||||
\(544\) | 2.90531e13 | + | 8.94164e13i | 0.0261456 | + | 0.0804680i | ||||
\(545\) | 1.53140e14 | + | 4.71316e14i | 0.136429 | + | 0.419886i | ||||
\(546\) | 2.01079e15 | + | 1.46092e15i | 1.77340 | + | 1.28845i | ||||
\(547\) | 1.40344e15 | − | 1.01966e15i | 1.22536 | − | 0.890274i | 0.228823 | − | 0.973468i | \(-0.426512\pi\) |
0.996533 | + | 0.0831941i | \(0.0265121\pi\) | |||||||
\(548\) | −7.45154e13 | + | 2.29335e14i | −0.0644099 | + | 0.198233i | ||||
\(549\) | 1.19256e15 | 1.02054 | ||||||||
\(550\) | −1.92922e13 | + | 1.26853e14i | −0.0163451 | + | 0.107474i | ||||
\(551\) | 3.52654e15 | 2.95811 | ||||||||
\(552\) | −3.24640e14 | + | 9.99140e14i | −0.269611 | + | 0.829777i | ||||
\(553\) | −1.23802e15 | + | 8.99476e14i | −1.01798 | + | 0.739607i | ||||
\(554\) | 6.81161e13 | + | 4.94892e13i | 0.0554557 | + | 0.0402909i | ||||
\(555\) | 1.94007e14 | + | 5.97093e14i | 0.156389 | + | 0.481316i | ||||
\(556\) | 1.23679e14 | + | 3.80645e14i | 0.0987153 | + | 0.303814i | ||||
\(557\) | −1.54771e15 | − | 1.12448e15i | −1.22317 | − | 0.888684i | −0.226810 | − | 0.973939i | \(-0.572830\pi\) |
−0.996359 | + | 0.0852549i | \(0.972830\pi\) | |||||||
\(558\) | 9.92184e13 | − | 7.20864e13i | 0.0776434 | − | 0.0564112i | ||||
\(559\) | 4.49959e13 | − | 1.38483e14i | 0.0348665 | − | 0.107308i | ||||
\(560\) | −5.06253e14 | −0.388448 | ||||||||
\(561\) | −4.31725e14 | − | 8.34574e14i | −0.328028 | − | 0.634116i | ||||
\(562\) | −8.01883e14 | −0.603339 | ||||||||
\(563\) | 1.25379e14 | − | 3.85876e14i | 0.0934175 | − | 0.287509i | −0.893421 | − | 0.449221i | \(-0.851701\pi\) |
0.986838 | + | 0.161712i | \(0.0517015\pi\) | |||||||
\(564\) | −3.51389e14 | + | 2.55299e14i | −0.259270 | + | 0.188371i | ||||
\(565\) | −1.13537e15 | − | 8.24892e14i | −0.829602 | − | 0.602741i | ||||
\(566\) | −1.10820e14 | − | 3.41070e14i | −0.0801917 | − | 0.246805i | ||||
\(567\) | −4.51820e14 | − | 1.39056e15i | −0.323786 | − | 0.996512i | ||||
\(568\) | −4.96540e14 | − | 3.60757e14i | −0.352402 | − | 0.256035i | ||||
\(569\) | 7.27982e14 | − | 5.28910e14i | 0.511686 | − | 0.371761i | −0.301777 | − | 0.953379i | \(-0.597580\pi\) |
0.813463 | + | 0.581617i | \(0.197580\pi\) | |||||||
\(570\) | 7.74028e14 | − | 2.38221e15i | 0.538822 | − | 1.65832i | ||||
\(571\) | −2.43532e14 | −0.167903 | −0.0839514 | − | 0.996470i | \(-0.526754\pi\) | ||||
−0.0839514 | + | 0.996470i | \(0.526754\pi\) | |||||||
\(572\) | 1.03799e15 | − | 1.70954e14i | 0.708786 | − | 0.116735i | ||||
\(573\) | −2.72483e15 | −1.84284 | ||||||||
\(574\) | −1.28256e14 | + | 3.94732e14i | −0.0859138 | + | 0.264415i | ||||
\(575\) | 3.10133e14 | − | 2.25325e14i | 0.205767 | − | 0.149498i | ||||
\(576\) | −1.88512e14 | − | 1.36962e14i | −0.123884 | − | 0.0900069i | ||||
\(577\) | 8.99750e14 | + | 2.76915e15i | 0.585673 | + | 1.80252i | 0.596552 | + | 0.802575i | \(0.296537\pi\) |
−0.0108787 | + | 0.999941i | \(0.503463\pi\) | |||||||
\(578\) | −2.61265e14 | − | 8.04090e14i | −0.168453 | − | 0.518444i | ||||
\(579\) | 6.94910e14 | + | 5.04882e14i | 0.443809 | + | 0.322446i | ||||
\(580\) | −1.32006e15 | + | 9.59081e14i | −0.835103 | + | 0.606738i | ||||
\(581\) | 7.50840e14 | − | 2.31085e15i | 0.470521 | − | 1.44811i | ||||
\(582\) | −2.26210e15 | −1.40422 | ||||||||
\(583\) | 2.78298e14 | − | 2.81744e14i | 0.171133 | − | 0.173252i | ||||
\(584\) | −8.54403e13 | −0.0520466 | ||||||||
\(585\) | 9.68049e14 | − | 2.97935e15i | 0.584171 | − | 1.79789i | ||||
\(586\) | −4.01622e14 | + | 2.91796e14i | −0.240094 | + | 0.174438i | ||||
\(587\) | −5.36310e14 | − | 3.89652e14i | −0.317619 | − | 0.230763i | 0.417540 | − | 0.908659i | \(-0.362892\pi\) |
−0.735159 | + | 0.677895i | \(0.762892\pi\) | |||||||
\(588\) | 4.29183e14 | + | 1.32089e15i | 0.251807 | + | 0.774981i | ||||
\(589\) | 9.06541e13 | + | 2.79005e14i | 0.0526930 | + | 0.162172i | ||||
\(590\) | 9.39241e14 | + | 6.82399e14i | 0.540868 | + | 0.392963i | ||||
\(591\) | −3.75648e15 | + | 2.72924e15i | −2.14313 | + | 1.55708i | ||||
\(592\) | −4.31712e13 | + | 1.32867e14i | −0.0244020 | + | 0.0751015i | ||||
\(593\) | −2.31740e15 | −1.29777 | −0.648887 | − | 0.760885i | \(-0.724765\pi\) | ||||
−0.648887 | + | 0.760885i | \(0.724765\pi\) | |||||||
\(594\) | 3.82342e14 | + | 1.91859e14i | 0.212142 | + | 0.106453i | ||||
\(595\) | −1.35278e15 | −0.743678 | ||||||||
\(596\) | 1.86347e14 | − | 5.73517e14i | 0.101500 | − | 0.312386i | ||||
\(597\) | 3.93073e15 | − | 2.85584e15i | 2.12136 | − | 1.54126i | ||||
\(598\) | −2.54266e15 | − | 1.84735e15i | −1.35967 | − | 0.987855i | ||||
\(599\) | −2.07193e13 | − | 6.37675e13i | −0.0109781 | − | 0.0337872i | 0.945417 | − | 0.325862i | \(-0.105654\pi\) |
−0.956396 | + | 0.292075i | \(0.905654\pi\) | |||||||
\(600\) | 4.77224e13 | + | 1.46874e14i | 0.0250548 | + | 0.0771106i | ||||
\(601\) | −3.83552e14 | − | 2.78667e14i | −0.199533 | − | 0.144969i | 0.483532 | − | 0.875327i | \(-0.339354\pi\) |
−0.683065 | + | 0.730357i | \(0.739354\pi\) | |||||||
\(602\) | 1.26076e14 | − | 9.15994e13i | 0.0649906 | − | 0.0472185i | ||||
\(603\) | −1.74161e14 | + | 5.36014e14i | −0.0889624 | + | 0.273798i | ||||
\(604\) | 1.08319e15 | 0.548281 | ||||||||
\(605\) | 1.23730e15 | − | 1.74783e15i | 0.620613 | − | 0.876686i | ||||
\(606\) | −2.92506e15 | −1.45390 | ||||||||
\(607\) | −9.06952e14 | + | 2.79131e15i | −0.446731 | + | 1.37490i | 0.433843 | + | 0.900989i | \(0.357157\pi\) |
−0.880574 | + | 0.473909i | \(0.842843\pi\) | |||||||
\(608\) | 4.50929e14 | − | 3.27619e14i | 0.220109 | − | 0.159919i | ||||
\(609\) | 6.93616e15 | + | 5.03941e15i | 3.35524 | + | 2.43773i | ||||
\(610\) | −4.07868e14 | − | 1.25529e15i | −0.195526 | − | 0.601768i | ||||
\(611\) | −4.01535e14 | − | 1.23580e15i | −0.190764 | − | 0.587112i | ||||
\(612\) | −5.03732e14 | − | 3.65982e14i | −0.237174 | − | 0.172317i | ||||
\(613\) | −4.09935e14 | + | 2.97835e14i | −0.191286 | + | 0.138977i | −0.679306 | − | 0.733855i | \(-0.737719\pi\) |
0.488020 | + | 0.872832i | \(0.337719\pi\) | |||||||
\(614\) | −4.68985e14 | + | 1.44339e15i | −0.216887 | + | 0.667509i | ||||
\(615\) | 9.50147e14 | 0.435490 | ||||||||
\(616\) | 1.00628e15 | + | 5.04953e14i | 0.457116 | + | 0.229381i | ||||
\(617\) | −3.13734e14 | −0.141251 | −0.0706257 | − | 0.997503i | \(-0.522500\pi\) | ||||
−0.0706257 | + | 0.997503i | \(0.522500\pi\) | |||||||
\(618\) | −9.80340e14 | + | 3.01718e15i | −0.437462 | + | 1.34637i | ||||
\(619\) | 1.33778e15 | − | 9.71953e14i | 0.591678 | − | 0.429879i | −0.251237 | − | 0.967926i | \(-0.580837\pi\) |
0.842915 | + | 0.538046i | \(0.180837\pi\) | |||||||
\(620\) | −1.09812e14 | − | 7.97832e13i | −0.0481389 | − | 0.0349750i | ||||
\(621\) | −3.94937e14 | − | 1.21549e15i | −0.171603 | − | 0.528139i | ||||
\(622\) | 8.55525e14 | + | 2.63303e15i | 0.368456 | + | 1.13399i | ||||
\(623\) | −1.24103e13 | − | 9.01658e12i | −0.00529781 | − | 0.00384909i | ||||
\(624\) | 1.02433e15 | − | 7.44216e14i | 0.433434 | − | 0.314908i | ||||
\(625\) | −8.32608e14 | + | 2.56250e15i | −0.349221 | + | 1.07479i | ||||
\(626\) | 5.90669e14 | 0.245576 | ||||||||
\(627\) | −3.91464e15 | + | 3.96311e15i | −1.61332 | + | 1.63329i | ||||
\(628\) | −2.80900e14 | −0.114756 | ||||||||
\(629\) | −1.15360e14 | + | 3.55042e14i | −0.0467172 | + | 0.143781i | ||||
\(630\) | 2.71241e15 | − | 1.97068e15i | 1.08889 | − | 0.791123i | ||||
\(631\) | 2.10738e15 | + | 1.53110e15i | 0.838650 | + | 0.609315i | 0.921993 | − | 0.387206i | \(-0.126560\pi\) |
−0.0833435 | + | 0.996521i | \(0.526560\pi\) | |||||||
\(632\) | 2.40893e14 | + | 7.41393e14i | 0.0950343 | + | 0.292486i | ||||
\(633\) | −7.83323e14 | − | 2.41082e15i | −0.306352 | − | 0.942854i | ||||
\(634\) | 1.26747e15 | + | 9.20869e14i | 0.491412 | + | 0.357032i | ||||
\(635\) | 3.77017e15 | − | 2.73919e15i | 1.44912 | − | 1.05285i | ||||
\(636\) | 1.47289e14 | − | 4.53310e14i | 0.0561251 | − | 0.172735i | ||||
\(637\) | −4.15500e15 | −1.56965 | ||||||||
\(638\) | 3.58052e15 | − | 5.89702e14i | 1.34101 | − | 0.220861i | ||||
\(639\) | 4.06469e15 | 1.50929 | ||||||||
\(640\) | −7.96932e13 | + | 2.45270e14i | −0.0293380 | + | 0.0902932i | ||||
\(641\) | −3.25734e15 | + | 2.36660e15i | −1.18890 | + | 0.863783i | −0.993147 | − | 0.116871i | \(-0.962714\pi\) |
−0.195749 | + | 0.980654i | \(0.562714\pi\) | |||||||
\(642\) | 1.62205e15 | + | 1.17849e15i | 0.586979 | + | 0.426465i | ||||
\(643\) | −1.39304e15 | − | 4.28734e15i | −0.499808 | − | 1.53825i | −0.809327 | − | 0.587358i | \(-0.800168\pi\) |
0.309519 | − | 0.950893i | \(-0.399832\pi\) | |||||||
\(644\) | −1.03943e15 | − | 3.19904e15i | −0.369763 | − | 1.13801i | ||||
\(645\) | −2.88620e14 | − | 2.09695e14i | −0.101800 | − | 0.0739621i | ||||
\(646\) | 1.20495e15 | − | 8.75448e14i | 0.421396 | − | 0.306162i | ||||
\(647\) | 2.37711e14 | − | 7.31598e14i | 0.0824281 | − | 0.253688i | −0.901346 | − | 0.433100i | \(-0.857420\pi\) |
0.983774 | + | 0.179412i | \(0.0574197\pi\) | |||||||
\(648\) | −7.44825e14 | −0.256090 | ||||||||
\(649\) | −1.18629e15 | − | 2.29324e15i | −0.404432 | − | 0.781814i | ||||
\(650\) | −4.62009e14 | −0.156181 | ||||||||
\(651\) | −2.20394e14 | + | 6.78303e14i | −0.0738762 | + | 0.227368i | ||||
\(652\) | 9.30301e14 | − | 6.75903e14i | 0.309216 | − | 0.224658i | ||||
\(653\) | 2.51429e15 | + | 1.82674e15i | 0.828690 | + | 0.602078i | 0.919188 | − | 0.393818i | \(-0.128846\pi\) |
−0.0904985 | + | 0.995897i | \(0.528846\pi\) | |||||||
\(654\) | −4.09906e14 | − | 1.26156e15i | −0.133970 | − | 0.412317i | ||||
\(655\) | 1.05981e15 | + | 3.26175e15i | 0.343478 | + | 1.05712i | ||||
\(656\) | 1.71051e14 | + | 1.24276e14i | 0.0549735 | + | 0.0399406i | ||||
\(657\) | 4.57774e14 | − | 3.32593e14i | 0.145895 | − | 0.105999i | ||||
\(658\) | 4.29741e14 | − | 1.32261e15i | 0.135820 | − | 0.418011i | ||||
\(659\) | −8.21048e14 | −0.257335 | −0.128668 | − | 0.991688i | \(-0.541070\pi\) | ||||
−0.128668 | + | 0.991688i | \(0.541070\pi\) | |||||||
\(660\) | 3.87526e14 | − | 2.54811e15i | 0.120451 | − | 0.792002i | ||||
\(661\) | −3.89111e15 | −1.19940 | −0.599701 | − | 0.800224i | \(-0.704714\pi\) | ||||
−0.599701 | + | 0.800224i | \(0.704714\pi\) | |||||||
\(662\) | 1.32082e15 | − | 4.06508e15i | 0.403763 | − | 1.24265i | ||||
\(663\) | 2.73715e15 | − | 1.98866e15i | 0.829802 | − | 0.602887i | ||||
\(664\) | −1.00137e15 | − | 7.27537e14i | −0.301072 | − | 0.218741i | ||||
\(665\) | 2.47828e15 | + | 7.62737e15i | 0.738978 | + | 2.27434i | ||||
\(666\) | −2.85907e14 | − | 8.79932e14i | −0.0845506 | − | 0.260220i | ||||
\(667\) | −8.77083e15 | − | 6.37238e15i | −2.57246 | − | 1.86900i | ||||
\(668\) | −1.70522e15 | + | 1.23892e15i | −0.496034 | + | 0.360389i | ||||
\(669\) | −1.60052e15 | + | 4.92589e15i | −0.461761 | + | 1.42115i | ||||
\(670\) | 6.23775e14 | 0.178491 | ||||||||
\(671\) | −4.41342e14 | + | 2.90197e15i | −0.125257 | + | 0.823605i | ||||
\(672\) | 1.35508e15 | 0.381445 | ||||||||
\(673\) | −3.35133e14 | + | 1.03143e15i | −0.0935694 | + | 0.287977i | −0.986878 | − | 0.161466i | \(-0.948378\pi\) |
0.893309 | + | 0.449443i | \(0.148378\pi\) | |||||||
\(674\) | 6.41609e14 | − | 4.66156e14i | 0.177681 | − | 0.129093i | ||||
\(675\) | −1.51993e14 | − | 1.10429e14i | −0.0417496 | − | 0.0303328i | ||||
\(676\) | 6.03406e14 | + | 1.85709e15i | 0.164400 | + | 0.505972i | ||||
\(677\) | −4.22315e14 | − | 1.29975e15i | −0.114130 | − | 0.351255i | 0.877635 | − | 0.479330i | \(-0.159120\pi\) |
−0.991765 | + | 0.128075i | \(0.959120\pi\) | |||||||
\(678\) | 3.03901e15 | + | 2.20797e15i | 0.814646 | + | 0.591875i | ||||
\(679\) | 5.85953e15 | − | 4.25719e15i | 1.55804 | − | 1.13198i | ||||
\(680\) | −2.12952e14 | + | 6.55399e14i | −0.0561672 | + | 0.172865i | ||||
\(681\) | 8.40075e15 | 2.19791 | ||||||||
\(682\) | 1.38696e14 | + | 2.68116e14i | 0.0359957 | + | 0.0695839i | ||||
\(683\) | −2.42704e15 | −0.624831 | −0.312415 | − | 0.949946i | \(-0.601138\pi\) | ||||
−0.312415 | + | 0.949946i | \(0.601138\pi\) | |||||||
\(684\) | −1.14068e15 | + | 3.51065e15i | −0.291310 | + | 0.896560i | ||||
\(685\) | −1.42991e15 | + | 1.03889e15i | −0.362253 | + | 0.263192i | ||||
\(686\) | −3.04794e14 | − | 2.21446e14i | −0.0765990 | − | 0.0556525i | ||||
\(687\) | −5.31150e14 | − | 1.63471e15i | −0.132420 | − | 0.407548i | ||||
\(688\) | −2.45317e13 | − | 7.55008e13i | −0.00606724 | − | 0.0186730i | ||||
\(689\) | 1.15361e15 | + | 8.38144e14i | 0.283043 | + | 0.205642i | ||||
\(690\) | −6.22969e15 | + | 4.52614e15i | −1.51634 | + | 1.10169i | ||||
\(691\) | −1.82358e15 | + | 5.61241e15i | −0.440348 | + | 1.35525i | 0.447158 | + | 0.894455i | \(0.352436\pi\) |
−0.887506 | + | 0.460797i | \(0.847564\pi\) | |||||||
\(692\) | −1.41814e15 | −0.339730 | ||||||||
\(693\) | −7.35711e15 | + | 1.21170e15i | −1.74854 | + | 0.287979i | ||||
\(694\) | −4.30581e15 | −1.01526 | ||||||||
\(695\) | −9.06535e14 | + | 2.79003e15i | −0.212065 | + | 0.652668i | ||||
\(696\) | 3.53338e15 | − | 2.56715e15i | 0.820048 | − | 0.595800i | ||||
\(697\) | 4.57073e14 | + | 3.32083e14i | 0.105246 | + | 0.0764657i | ||||
\(698\) | 1.29523e15 | + | 3.98631e15i | 0.295898 | + | 0.910681i | ||||
\(699\) | −1.94424e15 | − | 5.98376e15i | −0.440682 | − | 1.35628i | ||||
\(700\) | −4.00029e14 | − | 2.90638e14i | −0.0899605 | − | 0.0653601i | ||||
\(701\) | −1.97964e15 | + | 1.43829e15i | −0.441710 | + | 0.320921i | −0.786314 | − | 0.617827i | \(-0.788013\pi\) |
0.344604 | + | 0.938748i | \(0.388013\pi\) | |||||||
\(702\) | −4.75979e14 | + | 1.46491e15i | −0.105374 | + | 0.324308i | ||||
\(703\) | 2.21316e15 | 0.486137 | ||||||||
\(704\) | 4.03047e14 | − | 4.08038e14i | 0.0878429 | − | 0.0889305i | ||||
\(705\) | −3.18361e15 | −0.688461 | ||||||||
\(706\) | 8.74235e14 | − | 2.69062e15i | 0.187587 | − | 0.577333i | ||||
\(707\) | 7.57680e15 | − | 5.50487e15i | 1.61317 | − | 1.17203i | ||||
\(708\) | −2.51404e15 | − | 1.82656e15i | −0.531117 | − | 0.385879i | ||||
\(709\) | −1.01583e15 | − | 3.12641e15i | −0.212945 | − | 0.655377i | −0.999293 | − | 0.0375935i | \(-0.988031\pi\) |
0.786348 | − | 0.617784i | \(-0.211969\pi\) | |||||||
\(710\) | −1.39017e15 | − | 4.27850e15i | −0.289166 | − | 0.889961i | ||||
\(711\) | −4.17667e15 | − | 3.03453e15i | −0.862080 | − | 0.626338i | ||||
\(712\) | −6.32197e12 | + | 4.59318e12i | −0.00129483 | + | 0.000940748i | ||||
\(713\) | 2.78690e14 | − | 8.57720e14i | 0.0566408 | − | 0.174322i | ||||
\(714\) | 3.62097e15 | 0.730271 | ||||||||
\(715\) | 6.89170e15 | + | 3.45825e15i | 1.37925 | + | 0.692107i | ||||
\(716\) | −2.63140e15 | −0.522595 | ||||||||
\(717\) | 3.26177e14 | − | 1.00387e15i | 0.0642832 | − | 0.197843i | ||||
\(718\) | −1.04565e15 | + | 7.59712e14i | −0.204505 | + | 0.148581i | ||||
\(719\) | −4.06153e15 | − | 2.95087e15i | −0.788280 | − | 0.572719i | 0.119173 | − | 0.992874i | \(-0.461976\pi\) |
−0.907452 | + | 0.420155i | \(0.861976\pi\) | |||||||
\(720\) | −5.27779e14 | − | 1.62434e15i | −0.101654 | − | 0.312858i | ||||
\(721\) | −3.13885e15 | − | 9.66038e15i | −0.599966 | − | 1.84650i | ||||
\(722\) | −4.12771e15 | − | 2.99895e15i | −0.782987 | − | 0.568873i | ||||
\(723\) | −3.02383e15 | + | 2.19694e15i | −0.569242 | + | 0.413579i | ||||
\(724\) | 1.33518e15 | − | 4.10927e15i | 0.249447 | − | 0.767720i | ||||
\(725\) | −1.59369e15 | −0.295491 | ||||||||
\(726\) | −3.31186e15 | + | 4.67837e15i | −0.609425 | + | 0.860881i | ||||
\(727\) | 8.33039e15 | 1.52134 | 0.760669 | − | 0.649140i | \(-0.224871\pi\) | ||||
0.760669 | + | 0.649140i | \(0.224871\pi\) | |||||||
\(728\) | −1.25273e15 | + | 3.85550e15i | −0.227056 | + | 0.698808i | ||||
\(729\) | 6.24248e15 | − | 4.53543e15i | 1.12294 | − | 0.815862i | ||||
\(730\) | −5.06652e14 | − | 3.68104e14i | −0.0904553 | − | 0.0657196i | ||||
\(731\) | −6.55524e13 | − | 2.01750e14i | −0.0116156 | − | 0.0357493i | ||||
\(732\) | 1.09173e15 | + | 3.36000e15i | 0.192001 | + | 0.590920i | ||||
\(733\) | 4.23510e15 | + | 3.07698e15i | 0.739251 | + | 0.537098i | 0.892477 | − | 0.451094i | \(-0.148966\pi\) |
−0.153225 | + | 0.988191i | \(0.548966\pi\) | |||||||
\(734\) | 4.61823e15 | − | 3.35534e15i | 0.800105 | − | 0.581311i | ||||
\(735\) | −3.14580e15 | + | 9.68178e15i | −0.540942 | + | 1.66485i | ||||
\(736\) | −1.71350e15 | −0.292454 | ||||||||
\(737\) | −1.23988e15 | − | 6.22173e14i | −0.210044 | − | 0.105400i | ||||
\(738\) | −1.40023e15 | −0.235444 | ||||||||
\(739\) | 8.98510e14 | − | 2.76533e15i | 0.149961 | − | 0.461533i | −0.847655 | − | 0.530549i | \(-0.821986\pi\) |
0.997616 | + | 0.0690160i | \(0.0219859\pi\) | |||||||
\(740\) | −8.28435e14 | + | 6.01893e14i | −0.137241 | + | 0.0997114i | ||||
\(741\) | −1.62270e16 | − | 1.17896e16i | −2.66832 | − | 1.93865i | ||||
\(742\) | 4.71591e14 | + | 1.45141e15i | 0.0769739 | + | 0.236901i | ||||
\(743\) | 2.93323e15 | + | 9.02756e15i | 0.475234 | + | 1.46262i | 0.845641 | + | 0.533752i | \(0.179218\pi\) |
−0.370407 | + | 0.928870i | \(0.620782\pi\) | |||||||
\(744\) | 2.93932e14 | + | 2.13554e14i | 0.0472711 | + | 0.0343444i | ||||
\(745\) | 3.57591e15 | − | 2.59805e15i | 0.570856 | − | 0.414751i | ||||
\(746\) | −1.37073e14 | + | 4.21867e14i | −0.0217214 | + | 0.0668517i | ||||
\(747\) | 8.19723e15 | 1.28945 | ||||||||
\(748\) | 1.07700e15 | − | 1.09034e15i | 0.168174 | − | 0.170256i | ||||
\(749\) | −6.41951e15 | −0.995065 | ||||||||
\(750\) | 1.92544e15 | − | 5.92590e15i | 0.296274 | − | 0.911837i | ||||
\(751\) | −1.03855e16 | + | 7.54554e15i | −1.58639 | + | 1.15258i | −0.677513 | + | 0.735511i | \(0.736942\pi\) |
−0.908876 | + | 0.417067i | \(0.863058\pi\) | |||||||
\(752\) | −5.73130e14 | − | 4.16403e14i | −0.0869071 | − | 0.0631417i | ||||
\(753\) | 1.53110e15 | + | 4.71224e15i | 0.230479 | + | 0.709341i | ||||
\(754\) | 4.03762e15 | + | 1.24265e16i | 0.603369 | + | 1.85698i | ||||
\(755\) | 6.42322e15 | + | 4.66674e15i | 0.952893 | + | 0.692318i | ||||
\(756\) | −1.33366e15 | + | 9.68963e14i | −0.196416 | + | 0.142704i | ||||
\(757\) | 5.96473e14 | − | 1.83575e15i | 0.0872094 | − | 0.268403i | −0.897936 | − | 0.440127i | \(-0.854934\pi\) |
0.985145 | + | 0.171724i | \(0.0549336\pi\) | |||||||
\(758\) | 5.55815e15 | 0.806770 | ||||||||
\(759\) | 1.68973e16 | − | 2.78295e15i | 2.43494 | − | 0.401029i | ||||
\(760\) | 4.08545e15 | 0.584474 | ||||||||
\(761\) | 1.13887e15 | − | 3.50509e15i | 0.161756 | − | 0.497834i | −0.837027 | − | 0.547162i | \(-0.815708\pi\) |
0.998783 | + | 0.0493285i | \(0.0157081\pi\) | |||||||
\(762\) | −1.00915e16 | + | 7.33192e15i | −1.42300 | + | 1.03387i | ||||
\(763\) | 3.43600e15 | + | 2.49640e15i | 0.481026 | + | 0.349486i | ||||
\(764\) | −1.37337e15 | − | 4.22679e15i | −0.190886 | − | 0.587485i | ||||
\(765\) | −1.41030e15 | − | 4.34047e15i | −0.194614 | − | 0.598962i | ||||
\(766\) | 4.81115e15 | + | 3.49550e15i | 0.659159 | + | 0.478907i | ||||
\(767\) | 7.52114e15 | − | 5.46443e15i | 1.02308 | − | 0.743310i | ||||
\(768\) | 2.13313e14 | − | 6.56510e14i | 0.0288091 | − | 0.0886654i | ||||
\(769\) | 1.45176e16 | 1.94671 | 0.973355 | − | 0.229305i | \(-0.0736452\pi\) | ||||
0.973355 | + | 0.229305i | \(0.0736452\pi\) | |||||||
\(770\) | 3.79165e15 | + | 7.32970e15i | 0.504812 | + | 0.975859i | ||||
\(771\) | 7.23011e14 | 0.0955753 | ||||||||
\(772\) | −4.32931e14 | + | 1.33242e15i | −0.0568229 | + | 0.174883i | ||||
\(773\) | −8.09347e15 | + | 5.88025e15i | −1.05474 | + | 0.766317i | −0.973109 | − | 0.230345i | \(-0.926014\pi\) |
−0.0816360 | + | 0.996662i | \(0.526014\pi\) | |||||||
\(774\) | 4.25337e14 | + | 3.09026e14i | 0.0550374 | + | 0.0399870i | ||||
\(775\) | −4.09677e13 | − | 1.26086e14i | −0.00526359 | − | 0.0161997i | ||||
\(776\) | −1.14014e15 | − | 3.50899e15i | −0.145452 | − | 0.447655i | ||||
\(777\) | 4.35294e15 | + | 3.16260e15i | 0.551401 | + | 0.400616i | ||||
\(778\) | 3.00867e15 | − | 2.18593e15i | 0.378431 | − | 0.274946i | ||||
\(779\) | 1.03502e15 | − | 3.18548e15i | 0.129269 | − | 0.397849i | ||||
\(780\) | 9.28045e15 | 1.15093 | ||||||||
\(781\) | −1.50426e15 | + | 9.89102e15i | −0.185244 | + | 1.21804i | ||||
\(782\) | −4.57874e15 | −0.559898 | ||||||||
\(783\) | −1.64188e15 | + | 5.05317e15i | −0.199366 | + | 0.613585i | ||||
\(784\) | −1.83266e15 | + | 1.33151e15i | −0.220976 | + | 0.160548i | ||||
\(785\) | −1.66571e15 | − | 1.21021e15i | −0.199441 | − | 0.144903i | ||||
\(786\) | −2.83676e15 | − | 8.73064e15i | −0.337286 | − | 1.03806i | ||||
\(787\) | −1.19934e15 | − | 3.69118e15i | −0.141605 | − | 0.435817i | 0.854953 | − | 0.518705i | \(-0.173586\pi\) |
−0.996559 | + | 0.0828881i | \(0.973586\pi\) | |||||||
\(788\) | −6.12697e15 | − | 4.45150e15i | −0.718375 | − | 0.521930i | ||||
\(789\) | −1.27645e16 | + | 9.27392e15i | −1.48621 | + | 1.07979i | ||||
\(790\) | −1.76569e15 | + | 5.43422e15i | −0.204157 | + | 0.628331i | ||||
\(791\) | −1.20273e16 | −1.38101 | ||||||||
\(792\) | −5.71094e14 | + | 3.75513e15i | −0.0651207 | + | 0.428190i | ||||
\(793\) | −1.05692e16 | −1.19685 | ||||||||
\(794\) | −2.37515e15 | + | 7.30995e15i | −0.267102 | + | 0.822056i | ||||
\(795\) | 2.82641e15 | − | 2.05351e15i | 0.315658 | − | 0.229339i | ||||
\(796\) | 6.41118e15 | + | 4.65800e15i | 0.711076 | + | 0.516627i | ||||
\(797\) | 1.82907e15 | + | 5.62931e15i | 0.201470 | + | 0.620061i | 0.999840 | + | 0.0178935i | \(0.00569598\pi\) |
−0.798370 | + | 0.602167i | \(0.794304\pi\) | |||||||
\(798\) | −6.63356e15 | − | 2.04160e16i | −0.725656 | − | 2.23334i | ||||
\(799\) | −1.53149e15 | − | 1.11269e15i | −0.166382 | − | 0.120884i | ||||
\(800\) | −2.03780e14 | + | 1.48055e14i | −0.0219871 | + | 0.0159746i | ||||
\(801\) | 1.59922e13 | − | 4.92189e13i | 0.00171368 | − | 0.00527415i | ||||
\(802\) | −5.26083e15 | −0.559880 | ||||||||
\(803\) | 6.39918e14 | + | 1.23703e15i | 0.0676377 | + | 0.130751i | ||||
\(804\) | −1.66964e15 | −0.175273 | ||||||||
\(805\) | 7.61877e15 | − | 2.34482e16i | 0.794342 | − | 2.44473i | ||||
\(806\) | −8.79341e14 | + | 6.38878e14i | −0.0910572 | + | 0.0661570i | ||||
\(807\) | 7.51707e14 | + | 5.46147e14i | 0.0773115 | + | 0.0561701i | ||||
\(808\) | −1.47429e15 | − | 4.53739e15i | −0.150598 | − | 0.463493i | ||||
\(809\) | 3.12197e15 | + | 9.60845e15i | 0.316747 | + | 0.974847i | 0.975029 | + | 0.222076i | \(0.0712833\pi\) |
−0.658282 | + | 0.752771i | \(0.728717\pi\) | |||||||
\(810\) | −4.41673e15 | − | 3.20894e15i | −0.445075 | − | 0.323366i | ||||
\(811\) | 1.17073e16 | − | 8.50583e15i | 1.17177 | − | 0.851338i | 0.180546 | − | 0.983566i | \(-0.442213\pi\) |
0.991219 | + | 0.132229i | \(0.0422134\pi\) | |||||||
\(812\) | −4.32124e15 | + | 1.32994e16i | −0.429586 | + | 1.32213i | ||||
\(813\) | 1.21614e16 | 1.20084 | ||||||||
\(814\) | 2.24704e15 | − | 3.70081e14i | 0.220382 | − | 0.0362963i | ||||
\(815\) | 8.42858e15 | 0.821084 | ||||||||
\(816\) | 5.70004e14 | − | 1.75429e15i | 0.0551547 | − | 0.169749i | ||||
\(817\) | −1.01743e15 | + | 7.39205e14i | −0.0977873 | + | 0.0710466i | ||||
\(818\) | 3.53567e15 | + | 2.56882e15i | 0.337543 | + | 0.245239i | ||||
\(819\) | −8.29635e15 | − | 2.55335e16i | −0.786730 | − | 2.42131i | ||||
\(820\) | 4.78893e14 | + | 1.47388e15i | 0.0451089 | + | 0.138831i | ||||
\(821\) | −1.12659e16 | − | 8.18513e15i | −1.05409 | − | 0.765841i | −0.0811034 | − | 0.996706i | \(-0.525844\pi\) |
−0.972986 | + | 0.230865i | \(0.925844\pi\) | |||||||
\(822\) | 3.82742e15 | − | 2.78078e15i | 0.355722 | − | 0.258447i | ||||
\(823\) | −4.88423e14 | + | 1.50321e15i | −0.0450918 | + | 0.138778i | −0.971068 | − | 0.238804i | \(-0.923245\pi\) |
0.925976 | + | 0.377582i | \(0.123245\pi\) | |||||||
\(824\) | −5.17439e15 | −0.474526 | ||||||||
\(825\) | 1.76907e15 | − | 1.79098e15i | 0.161157 | − | 0.163152i | ||||
\(826\) | 9.94968e15 | 0.900365 | ||||||||
\(827\) | −4.05115e15 | + | 1.24681e16i | −0.364165 | + | 1.12078i | 0.586338 | + | 0.810067i | \(0.300569\pi\) |
−0.950503 | + | 0.310717i | \(0.899431\pi\) | |||||||
\(828\) | 9.18065e15 | − | 6.67014e15i | 0.819798 | − | 0.595618i | ||||
\(829\) | −2.55530e15 | − | 1.85653e15i | −0.226669 | − | 0.164685i | 0.468655 | − | 0.883381i | \(-0.344739\pi\) |
−0.695323 | + | 0.718697i | \(0.744739\pi\) | |||||||
\(830\) | −2.80355e15 | − | 8.62843e15i | −0.247046 | − | 0.760330i | ||||
\(831\) | −5.10457e14 | − | 1.57103e15i | −0.0446842 | − | 0.137524i | ||||
\(832\) | 1.67072e15 | + | 1.21385e15i | 0.145286 | + | 0.105557i | ||||
\(833\) | −4.89716e15 | + | 3.55799e15i | −0.423055 | + | 0.307367i | ||||
\(834\) | 2.42650e15 | − | 7.46801e15i | 0.208242 | − | 0.640902i | ||||
\(835\) | −1.54494e16 | −1.31716 | ||||||||
\(836\) | −8.12068e15 | − | 4.07496e15i | −0.687793 | − | 0.345135i | ||||
\(837\) | −4.41992e14 | −0.0371898 | ||||||||
\(838\) | 7.62274e14 | − | 2.34604e15i | 0.0637190 | − | 0.196107i | ||||
\(839\) | −1.31644e16 | + | 9.56452e15i | −1.09323 | + | 0.794278i | −0.979942 | − | 0.199285i | \(-0.936138\pi\) |
−0.113288 | + | 0.993562i | \(0.536138\pi\) | |||||||
\(840\) | 8.03544e15 | + | 5.83809e15i | 0.662939 | + | 0.481654i | ||||
\(841\) | 1.01575e16 | + | 3.12615e16i | 0.832546 | + | 2.56231i | ||||
\(842\) | −6.14435e14 | − | 1.89104e15i | −0.0500334 | − | 0.153987i | ||||
\(843\) | 1.27278e16 | + | 9.24729e15i | 1.02968 | + | 0.748106i | ||||
\(844\) | 3.34488e15 | − | 2.43020e15i | 0.268842 | − | 0.195325i | ||||
\(845\) | −4.42281e15 | + | 1.36120e16i | −0.353172 | + | 1.08695i | ||||
\(846\) | 4.69166e15 | 0.372211 | ||||||||
\(847\) | −2.25821e14 | − | 1.83512e16i | −0.0177994 | − | 1.44646i | ||||
\(848\) | 7.77417e14 | 0.0608803 | ||||||||
\(849\) | −2.17423e15 | + | 6.69158e15i | −0.169166 | + | 0.520639i | ||||
\(850\) | −5.44532e14 | + | 3.95626e14i | −0.0420939 | + | 0.0305830i | ||||
\(851\) | −5.50434e15 | − | 3.99913e15i | −0.422758 | − | 0.307152i | ||||
\(852\) | 3.72104e15 | + | 1.14522e16i | 0.283953 | + | 0.873917i | ||||
\(853\) | −7.59101e15 | − | 2.33627e16i | −0.575546 | − | 1.77135i | −0.634313 | − | 0.773076i | \(-0.718717\pi\) |
0.0587675 | − | 0.998272i | \(-0.481283\pi\) | |||||||
\(854\) | −9.15134e15 | − | 6.64883e15i | −0.689392 | − | 0.500873i | ||||
\(855\) | −2.18891e16 | + | 1.59034e16i | −1.63838 | + | 1.19035i | ||||
\(856\) | −1.01054e15 | + | 3.11013e15i | −0.0751536 | + | 0.231299i | ||||
\(857\) | −1.61847e15 | −0.119594 | −0.0597970 | − | 0.998211i | \(-0.519045\pi\) | ||||
−0.0597970 | + | 0.998211i | \(0.519045\pi\) | |||||||
\(858\) | −1.84468e16 | − | 9.25663e15i | −1.35438 | − | 0.679630i | ||||
\(859\) | −2.59780e16 | −1.89515 | −0.947576 | − | 0.319531i | \(-0.896475\pi\) | ||||
−0.947576 | + | 0.319531i | \(0.896475\pi\) | |||||||
\(860\) | 1.79811e14 | − | 5.53402e14i | 0.0130339 | − | 0.0401143i | ||||
\(861\) | 6.58777e15 | − | 4.78629e15i | 0.474483 | − | 0.344732i | ||||
\(862\) | −4.89902e15 | − | 3.55934e15i | −0.350606 | − | 0.254730i | ||||
\(863\) | −4.24195e15 | − | 1.30554e16i | −0.301652 | − | 0.928390i | −0.980905 | − | 0.194486i | \(-0.937696\pi\) |
0.679253 | − | 0.733904i | \(-0.262304\pi\) | |||||||
\(864\) | 2.59503e14 | + | 7.98668e14i | 0.0183365 | + | 0.0564340i | ||||
\(865\) | −8.40938e15 | − | 6.10977e15i | −0.590440 | − | 0.428980i | ||||
\(866\) | 1.42768e16 | − | 1.03727e16i | 0.996052 | − | 0.723674i | ||||
\(867\) | −5.12585e15 | + | 1.57757e16i | −0.355354 | + | 1.09367i | ||||
\(868\) | −1.16328e15 | −0.0801353 | ||||||||
\(869\) | 8.92994e15 | − | 9.04050e15i | 0.611279 | − | 0.618848i | ||||
\(870\) | 3.20126e16 | 2.17754 | ||||||||
\(871\) | 1.54354e15 | − | 4.75051e15i | 0.104332 | − | 0.321100i | ||||
\(872\) | 1.75035e15 | − | 1.27170e15i | 0.117567 | − | 0.0854172i | ||||
\(873\) | 1.97681e16 | + | 1.43624e16i | 1.31943 | + | 0.958622i | ||||
\(874\) | 8.38819e15 | + | 2.58162e16i | 0.556360 | + | 1.71230i | ||||
\(875\) | 6.16487e15 | + | 1.89735e16i | 0.406331 | + | 1.25056i | ||||
\(876\) | 1.35614e15 | + | 9.85296e14i | 0.0888245 | + | 0.0645348i | ||||
\(877\) | −3.33707e15 | + | 2.42452e15i | −0.217204 | + | 0.157808i | −0.691067 | − | 0.722791i | \(-0.742859\pi\) |
0.473863 | + | 0.880598i | \(0.342859\pi\) | |||||||
\(878\) | −8.94512e14 | + | 2.75303e15i | −0.0578584 | + | 0.178070i | ||||
\(879\) | 9.73969e15 | 0.626046 | ||||||||
\(880\) | 4.14798e15 | − | 6.83162e14i | 0.264961 | − | 0.0436384i | ||||
\(881\) | 7.36854e15 | 0.467750 | 0.233875 | − | 0.972267i | \(-0.424859\pi\) | ||||
0.233875 | + | 0.972267i | \(0.424859\pi\) | |||||||
\(882\) | 4.63595e15 | − | 1.42680e16i | 0.292456 | − | 0.900088i | ||||
\(883\) | 9.28436e15 | − | 6.74548e15i | 0.582061 | − | 0.422892i | −0.257406 | − | 0.966303i | \(-0.582868\pi\) |
0.839466 | + | 0.543412i | \(0.182868\pi\) | |||||||
\(884\) | 4.46441e15 | + | 3.24358e15i | 0.278148 | + | 0.202087i | ||||
\(885\) | −7.03861e15 | − | 2.16626e16i | −0.435811 | − | 1.34129i | ||||
\(886\) | 5.49262e14 | + | 1.69045e15i | 0.0337982 | + | 0.104020i | ||||
\(887\) | −1.89894e16 | − | 1.37966e16i | −1.16126 | − | 0.843708i | −0.171327 | − | 0.985214i | \(-0.554806\pi\) |
−0.989937 | + | 0.141506i | \(0.954806\pi\) | |||||||
\(888\) | 2.21745e15 | − | 1.61107e15i | 0.134767 | − | 0.0979138i | ||||
\(889\) | 1.23417e16 | − | 3.79838e16i | 0.745444 | − | 2.29424i | ||||
\(890\) | −5.72774e13 | −0.00343826 | ||||||||
\(891\) | 5.57848e15 | + | 1.07838e16i | 0.332804 | + | 0.643348i | ||||
\(892\) | −8.44780e15 | −0.500884 | ||||||||
\(893\) | −3.46800e15 | + | 1.06734e16i | −0.204360 | + | 0.628955i | ||||
\(894\) | −9.57155e15 | + | 6.95414e15i | −0.560565 | + | 0.407274i | ||||
\(895\) | −1.56039e16 | − | 1.13369e16i | −0.908252 | − | 0.659884i | ||||
\(896\) | 6.82984e14 | + | 2.10201e15i | 0.0395109 | + | 0.121602i | ||||
\(897\) | 1.90545e16 | + | 5.86438e16i | 1.09557 | + | 3.37181i | ||||
\(898\) | −1.74729e15 | − | 1.26948e15i | −0.0998491 | − | 0.0725446i | ||||
\(899\) | −3.03326e15 | + | 2.20379e15i | −0.172279 | + | 0.125168i | ||||
\(900\) | 5.15487e14 | − | 1.58651e15i | 0.0290994 | − | 0.0895588i | ||||
\(901\) | 2.07738e15 | 0.116554 | ||||||||
\(902\) | 5.18196e14 | − | 3.40731e15i | 0.0288974 | − | 0.190010i | ||||
\(903\) | −3.05745e15 | −0.169463 | ||||||||
\(904\) | −1.89331e15 | + | 5.82701e15i | −0.104303 | + | 0.321011i | ||||
\(905\) | 2.56216e16 | − | 1.86151e16i | 1.40294 | − | 1.01929i | ||||
\(906\) | −1.71929e16 | − | 1.24914e16i | −0.935715 | − | 0.679837i | ||||
\(907\) | 1.40015e15 | + | 4.30923e15i | 0.0757419 | + | 0.233109i | 0.981758 | − | 0.190133i | \(-0.0608919\pi\) |
−0.906017 | + | 0.423242i | \(0.860892\pi\) | |||||||
\(908\) | 4.23414e15 | + | 1.30314e16i | 0.227663 | + | 0.700676i | ||||
\(909\) | 2.55616e16 | + | 1.85716e16i | 1.36611 | + | 0.992540i | ||||
\(910\) | −2.40392e16 | + | 1.74655e16i | −1.27701 | + | 0.927799i | ||||
\(911\) | 5.81833e15 | − | 1.79070e16i | 0.307218 | − | 0.945520i | −0.671622 | − | 0.740894i | \(-0.734402\pi\) |
0.978840 | − | 0.204626i | \(-0.0655980\pi\) | |||||||
\(912\) | −1.09354e16 | −0.573937 | ||||||||
\(913\) | −3.03364e15 | + | 1.99472e16i | −0.158261 | + | 1.04062i | ||||
\(914\) | 1.40152e16 | 0.726769 | ||||||||
\(915\) | −8.00211e15 | + | 2.46280e16i | −0.412466 | + | 1.26944i | ||||
\(916\) | 2.26807e15 | − | 1.64785e15i | 0.116207 | − | 0.0844293i | ||||
\(917\) | 2.37789e16 | + | 1.72764e16i | 1.21104 | + | 0.879875i | ||||
\(918\) | 6.93431e14 | + | 2.13416e15i | 0.0351050 | + | 0.108042i | ||||
\(919\) | 4.37444e15 | + | 1.34631e16i | 0.220134 | + | 0.677502i | 0.998749 | + | 0.0500009i | \(0.0159224\pi\) |
−0.778615 | + | 0.627502i | \(0.784078\pi\) | |||||||
\(920\) | −1.01609e16 | − | 7.38232e15i | −0.508275 | − | 0.369283i | ||||
\(921\) | 2.40890e16 | − | 1.75017e16i | 1.19782 | − | 0.870266i | ||||
\(922\) | −1.66671e15 | + | 5.12960e15i | −0.0823834 | + | 0.253550i | ||||
\(923\) | −3.60240e16 | −1.77004 | ||||||||
\(924\) | −1.01490e16 | − | 1.96192e16i | −0.495711 | − | 0.958267i | ||||
\(925\) | −1.00015e15 | −0.0485610 | ||||||||
\(926\) | −7.54656e15 | + | 2.32259e16i | −0.364241 | + | 1.12102i | ||||
\(927\) | 2.77235e16 | − | 2.01423e16i | 1.33018 | − | 0.966430i | ||||
\(928\) | 5.76309e15 | + | 4.18713e15i | 0.274879 | + | 0.199711i | ||||
\(929\) | 1.67966e15 | + | 5.16947e15i | 0.0796408 | + | 0.245109i | 0.982948 | − | 0.183886i | \(-0.0588677\pi\) |
−0.903307 | + | 0.428995i | \(0.858868\pi\) | |||||||
\(930\) | 8.22925e14 | + | 2.53270e15i | 0.0387886 | + | 0.119379i | ||||
\(931\) | 2.90325e16 | + | 2.10933e16i | 1.36038 | + | 0.988374i | ||||
\(932\) | 8.30215e15 | − | 6.03186e15i | 0.386726 | − | 0.280973i | ||||
\(933\) | 1.67849e16 | − | 5.16585e16i | 0.777264 | − | 2.39217i | ||||
\(934\) | −5.87178e15 | −0.270310 | ||||||||
\(935\) | 1.10840e16 | − | 1.82551e15i | 0.507264 | − | 0.0835451i | ||||
\(936\) | −1.36765e16 | −0.622242 | ||||||||
\(937\) | −1.38876e15 | + | 4.27417e15i | −0.0628145 | + | 0.193323i | −0.977539 | − | 0.210755i | \(-0.932408\pi\) |
0.914724 | + | 0.404078i | \(0.132408\pi\) | |||||||
\(938\) | 4.32489e15 | − | 3.14222e15i | 0.194473 | − | 0.141293i | ||||
\(939\) | −9.37534e15 | − | 6.81158e15i | −0.419108 | − | 0.304500i | ||||
\(940\) | −1.60460e15 | − | 4.93845e15i | −0.0713122 | − | 0.219476i | ||||
\(941\) | −6.05506e15 | − | 1.86355e16i | −0.267532 | − | 0.823378i | −0.991099 | − | 0.133124i | \(-0.957499\pi\) |
0.723568 | − | 0.690254i | \(-0.242501\pi\) | |||||||
\(942\) | 4.45856e15 | + | 3.23933e15i | 0.195846 | + | 0.142290i | ||||
\(943\) | −8.33029e15 | + | 6.05231e15i | −0.363786 | + | 0.264306i | ||||
\(944\) | 1.56626e15 | − | 4.82044e15i | 0.0680012 | − | 0.209286i | ||||
\(945\) | −1.20831e16 | −0.521558 | ||||||||
\(946\) | −9.09393e14 | + | 9.20652e14i | −0.0390257 | + | 0.0395088i | ||||
\(947\) | 4.49846e14 | 0.0191928 | 0.00959641 | − | 0.999954i | \(-0.496945\pi\) | ||||
0.00959641 | + | 0.999954i | \(0.496945\pi\) | |||||||
\(948\) | 4.72617e15 | − | 1.45457e16i | 0.200476 | − | 0.617003i | ||||
\(949\) | −4.05710e15 | + | 2.94766e15i | −0.171101 | + | 0.124312i | ||||
\(950\) | 3.22822e15 | + | 2.34544e15i | 0.135358 | + | 0.0983433i | ||||
\(951\) | −9.49831e15 | − | 2.92328e16i | −0.395962 | − | 1.21865i | ||||
\(952\) | 1.82504e15 | + | 5.61689e15i | 0.0756430 | + | 0.232805i | ||||
\(953\) | −3.16742e15 | − | 2.30127e15i | −0.130525 | − | 0.0948322i | 0.520607 | − | 0.853796i | \(-0.325706\pi\) |
−0.651132 | + | 0.758964i | \(0.725706\pi\) | |||||||
\(954\) | −4.16526e15 | + | 3.02624e15i | −0.170658 | + | 0.123990i | ||||
\(955\) | 1.00664e16 | − | 3.09813e16i | 0.410069 | − | 1.26206i | ||||
\(956\) | 1.72161e15 | 0.0697296 | ||||||||
\(957\) | −6.36318e16 | − | 3.19304e16i | −2.56247 | − | 1.28585i | ||||
\(958\) | 1.98020e15 | 0.0792865 | ||||||||
\(959\) | −4.68085e15 | + | 1.44062e16i | −0.186347 | + | 0.573517i | ||||
\(960\) | 4.09337e15 | − | 2.97401e15i | 0.162028 | − | 0.117720i | ||||
\(961\) | 2.03036e16 | + | 1.47514e16i | 0.799086 | + | 0.580570i | ||||
\(962\) | 2.53390e15 | + | 7.79855e15i | 0.0991578 | + | 0.305176i | ||||
\(963\) | −6.69246e15 | − | 2.05973e16i | −0.260400 | − | 0.801430i | ||||
\(964\) | −4.93200e15 | − | 3.58331e15i | −0.190809 | − | 0.138631i | ||||
\(965\) | −8.30773e15 | + | 6.03592e15i | −0.319582 | + | 0.232190i | ||||
\(966\) | −2.03930e16 | + | 6.27632e16i | −0.780022 | + | 2.40066i | ||||
\(967\) | −1.60862e16 | −0.611796 | −0.305898 | − | 0.952064i | \(-0.598957\pi\) | ||||
−0.305898 | + | 0.952064i | \(0.598957\pi\) | |||||||
\(968\) | −8.92639e15 | − | 2.77940e15i | −0.337568 | − | 0.105108i | ||||
\(969\) | −2.92211e16 | −1.09879 | ||||||||
\(970\) | 8.35694e15 | − | 2.57200e16i | 0.312466 | − | 0.961672i | ||||
\(971\) | −5.29005e15 | + | 3.84345e15i | −0.196677 | + | 0.142894i | −0.681765 | − | 0.731571i | \(-0.738788\pi\) |
0.485088 | + | 0.874465i | \(0.338788\pi\) | |||||||
\(972\) | 1.54950e16 | + | 1.12578e16i | 0.572832 | + | 0.416187i | ||||
\(973\) | 7.76917e15 | + | 2.39110e16i | 0.285597 | + | 0.878977i | ||||
\(974\) | 9.66185e14 | + | 2.97361e15i | 0.0353172 | + | 0.108695i | ||||
\(975\) | 7.33319e15 | + | 5.32788e15i | 0.266543 | + | 0.193655i | ||||
\(976\) | −4.66182e15 | + | 3.38701e15i | −0.168493 | + | 0.122417i | ||||
\(977\) | 1.29243e16 | − | 3.97769e16i | 0.464501 | − | 1.42959i | −0.395109 | − | 0.918634i | \(-0.629293\pi\) |
0.859609 | − | 0.510952i | \(-0.170707\pi\) | |||||||
\(978\) | −2.25606e16 | −0.806282 | ||||||||
\(979\) | 1.13851e14 | + | 5.71303e13i | 0.00404605 | + | 0.00203031i | ||||
\(980\) | −1.66041e16 | −0.586774 | ||||||||
\(981\) | −4.42772e15 | + | 1.36271e16i | −0.155597 | + | 0.478878i | ||||
\(982\) | 1.58443e16 | − | 1.15116e16i | 0.553682 | − | 0.402274i | ||||
\(983\) | 7.76680e15 | + | 5.64291e15i | 0.269897 | + | 0.196092i | 0.714499 | − | 0.699637i | \(-0.246655\pi\) |
−0.444602 | + | 0.895728i | \(0.646655\pi\) | |||||||
\(984\) | −1.28184e15 | − | 3.94510e15i | −0.0442957 | − | 0.136328i | ||||
\(985\) | −1.71538e16 | − | 5.27938e16i | −0.589468 | − | 1.81419i | ||||
\(986\) | 1.53998e16 | + | 1.11886e16i | 0.526251 | + | 0.382344i | ||||
\(987\) | −2.20733e16 | + | 1.60372e16i | −0.750106 | + | 0.544984i | ||||
\(988\) | 1.01095e16 | − | 3.11138e16i | 0.341637 | − | 1.05145i | ||||
\(989\) | 3.86617e15 | 0.129927 | ||||||||
\(990\) | −1.95648e16 | + | 1.98071e16i | −0.653856 | + | 0.661952i | ||||
\(991\) | 1.48450e16 | 0.493371 | 0.246686 | − | 0.969096i | \(-0.420659\pi\) | ||||
0.246686 | + | 0.969096i | \(0.420659\pi\) | |||||||
\(992\) | −1.83120e14 | + | 5.63586e14i | −0.00605232 | + | 0.0186271i | ||||
\(993\) | −6.78431e16 | + | 4.92909e16i | −2.22990 | + | 1.62011i | ||||
\(994\) | −3.11913e16 | − | 2.26618e16i | −1.01955 | − | 0.740745i | ||||
\(995\) | 1.79495e16 | + | 5.52428e16i | 0.583478 | + | 1.79576i | ||||
\(996\) | 7.50419e15 | + | 2.30955e16i | 0.242593 | + | 0.746623i | ||||
\(997\) | 1.82611e16 | + | 1.32675e16i | 0.587090 | + | 0.426546i | 0.841273 | − | 0.540610i | \(-0.181807\pi\) |
−0.254183 | + | 0.967156i | \(0.581807\pi\) | |||||||
\(998\) | 1.24062e16 | − | 9.01363e15i | 0.396662 | − | 0.288192i | ||||
\(999\) | −1.03040e15 | + | 3.17123e15i | −0.0327638 | + | 0.100837i |
(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 | 22.12.c.a.9.1 | yes | 20 | |
11.4 | even | 5 | 242.12.a.n.1.9 | 10 | |||
11.5 | even | 5 | inner | 22.12.c.a.5.1 | ✓ | 20 | |
11.7 | odd | 10 | 242.12.a.m.1.9 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.12.c.a.5.1 | ✓ | 20 | 11.5 | even | 5 | inner | |
22.12.c.a.9.1 | yes | 20 | 1.1 | even | 1 | trivial | |
242.12.a.m.1.9 | 10 | 11.7 | odd | 10 | |||
242.12.a.n.1.9 | 10 | 11.4 | even | 5 |