Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,33,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 33, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 33);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 33 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (of order \(6\), 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: | \(136.219975799\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.33.h.b.2.13 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −85030.6 | + | 49092.5i | −1.29746 | + | 0.749091i | −0.979965 | − | 0.199167i | \(-0.936176\pi\) |
−0.317499 | + | 0.948259i | \(0.602843\pi\) | |||||||
\(3\) | −1.46438e6 | − | 4.30218e7i | −0.0340183 | − | 0.999421i | ||||
\(4\) | 2.67265e9 | − | 4.62917e9i | 0.622276 | − | 1.07781i | ||||
\(5\) | 9.94676e10 | − | 5.74276e10i | 0.651871 | − | 0.376358i | −0.137302 | − | 0.990529i | \(-0.543843\pi\) |
0.789173 | + | 0.614172i | \(0.210510\pi\) | |||||||
\(6\) | 2.23656e12 | + | 3.58628e12i | 0.792795 | + | 1.27123i | ||||
\(7\) | −2.61520e13 | − | 2.05061e13i | −0.786931 | − | 0.617041i | ||||
\(8\) | 1.03128e14i | 0.366383i | ||||||||
\(9\) | −1.84873e15 | + | 1.26000e14i | −0.997686 | + | 0.0679972i | ||||
\(10\) | −5.63853e15 | + | 9.76621e15i | −0.563853 | + | 0.976621i | ||||
\(11\) | 3.10898e16 | + | 1.79497e16i | 0.676605 | + | 0.390638i | 0.798575 | − | 0.601896i | \(-0.205588\pi\) |
−0.121969 | + | 0.992534i | \(0.538921\pi\) | |||||||
\(12\) | −2.03069e17 | − | 1.08204e17i | −1.09836 | − | 0.585250i | ||||
\(13\) | 3.29625e17 | 0.495366 | 0.247683 | − | 0.968841i | \(-0.420331\pi\) | ||||
0.247683 | + | 0.968841i | \(0.420331\pi\) | |||||||
\(14\) | 3.23042e18 | + | 4.59776e17i | 1.48324 | + | 0.211105i | ||||
\(15\) | −2.61630e18 | − | 4.19518e18i | −0.398315 | − | 0.638690i | ||||
\(16\) | 6.41618e18 | + | 1.11131e19i | 0.347822 | + | 0.602445i | ||||
\(17\) | 2.87284e19 | + | 1.65864e19i | 0.590376 | + | 0.340854i | 0.765246 | − | 0.643738i | \(-0.222617\pi\) |
−0.174870 | + | 0.984592i | \(0.555951\pi\) | |||||||
\(18\) | 1.51013e20 | − | 1.01473e20i | 1.24353 | − | 0.835582i | ||||
\(19\) | 1.00160e20 | + | 1.73482e20i | 0.347245 | + | 0.601446i | 0.985759 | − | 0.168164i | \(-0.0537838\pi\) |
−0.638514 | + | 0.769610i | \(0.720451\pi\) | |||||||
\(20\) | − | 6.13937e20i | − | 0.936793i | ||||||
\(21\) | −8.43912e20 | + | 1.15514e21i | −0.589913 | + | 0.807467i | ||||
\(22\) | −3.52478e21 | −1.17050 | ||||||||
\(23\) | 6.94874e21 | − | 4.01186e21i | 1.13308 | − | 0.654185i | 0.188373 | − | 0.982098i | \(-0.439679\pi\) |
0.944708 | + | 0.327913i | \(0.106345\pi\) | |||||||
\(24\) | 4.43673e21 | − | 1.51017e20i | 0.366171 | − | 0.0124637i | ||||
\(25\) | −5.04567e21 | + | 8.73935e21i | −0.216710 | + | 0.375352i | ||||
\(26\) | −2.80282e22 | + | 1.61821e22i | −0.642720 | + | 0.371075i | ||||
\(27\) | 8.12799e21 | + | 7.93513e22i | 0.101897 | + | 0.994795i | ||||
\(28\) | −1.64821e23 | + | 6.62566e22i | −1.15474 | + | 0.464196i | ||||
\(29\) | 7.09309e22i | 0.283444i | 0.989906 | + | 0.141722i | \(0.0452639\pi\) | ||||
−0.989906 | + | 0.141722i | \(0.954736\pi\) | |||||||
\(30\) | 4.28417e23 | + | 2.28278e23i | 0.995238 | + | 0.530303i | ||||
\(31\) | −1.65521e23 | + | 2.86691e23i | −0.227544 | + | 0.394118i | −0.957080 | − | 0.289825i | \(-0.906403\pi\) |
0.729535 | + | 0.683943i | \(0.239736\pi\) | |||||||
\(32\) | −1.47473e24 | − | 8.51436e23i | −1.21987 | − | 0.704292i | ||||
\(33\) | 7.26702e23 | − | 1.36383e24i | 0.367395 | − | 0.689503i | ||||
\(34\) | −3.25706e24 | −1.02132 | ||||||||
\(35\) | −3.77889e24 | − | 5.37840e23i | −0.745206 | − | 0.106063i | ||||
\(36\) | −4.35774e24 | + | 8.89485e24i | −0.547547 | + | 1.11763i | ||||
\(37\) | −6.45315e24 | − | 1.11772e25i | −0.523051 | − | 0.905951i | −0.999640 | − | 0.0268249i | \(-0.991460\pi\) |
0.476589 | − | 0.879126i | \(-0.341873\pi\) | |||||||
\(38\) | −1.70333e25 | − | 9.83419e24i | −0.901076 | − | 0.520237i | ||||
\(39\) | −4.82695e23 | − | 1.41811e25i | −0.0168515 | − | 0.495080i | ||||
\(40\) | 5.92237e24 | + | 1.02578e25i | 0.137891 | + | 0.238834i | ||||
\(41\) | − | 9.66749e25i | − | 1.51625i | −0.652107 | − | 0.758127i | \(-0.726115\pi\) | ||
0.652107 | − | 0.758127i | \(-0.273885\pi\) | |||||||
\(42\) | 1.50499e25 | − | 1.39652e26i | 0.160525 | − | 1.48956i | ||||
\(43\) | −1.55836e26 | −1.14070 | −0.570352 | − | 0.821400i | \(-0.693193\pi\) | ||||
−0.570352 | + | 0.821400i | \(0.693193\pi\) | |||||||
\(44\) | 1.66185e26 | − | 9.59468e25i | 0.842070 | − | 0.486169i | ||||
\(45\) | −1.76653e26 | + | 1.18701e26i | −0.624771 | + | 0.419812i | ||||
\(46\) | −3.93904e26 | + | 6.82262e26i | −0.980088 | + | 1.69756i | ||||
\(47\) | −2.94689e26 | + | 1.70139e26i | −0.519754 | + | 0.300080i | −0.736834 | − | 0.676074i | \(-0.763680\pi\) |
0.217080 | + | 0.976154i | \(0.430347\pi\) | |||||||
\(48\) | 4.68712e26 | − | 2.92309e26i | 0.590264 | − | 0.368114i | ||||
\(49\) | 2.63430e26 | + | 1.07255e27i | 0.238522 | + | 0.971137i | ||||
\(50\) | − | 9.90816e26i | − | 0.649341i | ||||||
\(51\) | 6.71506e26 | − | 1.26024e27i | 0.320573 | − | 0.601630i | ||||
\(52\) | 8.80974e26 | − | 1.52589e27i | 0.308254 | − | 0.533912i | ||||
\(53\) | −2.59209e27 | − | 1.49654e27i | −0.668707 | − | 0.386078i | 0.126879 | − | 0.991918i | \(-0.459504\pi\) |
−0.795587 | + | 0.605840i | \(0.792837\pi\) | |||||||
\(54\) | −4.58668e27 | − | 6.34826e27i | −0.877400 | − | 1.21438i | ||||
\(55\) | 4.12324e27 | 0.588079 | ||||||||
\(56\) | 2.11474e27 | − | 2.69699e27i | 0.226073 | − | 0.288318i | ||||
\(57\) | 7.31684e27 | − | 4.56310e27i | 0.589285 | − | 0.367504i | ||||
\(58\) | −3.48217e27 | − | 6.03130e27i | −0.212326 | − | 0.367759i | ||||
\(59\) | 3.96593e27 | + | 2.28973e27i | 0.183955 | + | 0.106207i | 0.589150 | − | 0.808024i | \(-0.299463\pi\) |
−0.405194 | + | 0.914231i | \(0.632796\pi\) | |||||||
\(60\) | −2.64127e28 | + | 8.99034e26i | −0.936251 | + | 0.0318681i | ||||
\(61\) | 5.30105e27 | + | 9.18168e27i | 0.144240 | + | 0.249830i | 0.929089 | − | 0.369856i | \(-0.120593\pi\) |
−0.784849 | + | 0.619686i | \(0.787260\pi\) | |||||||
\(62\) | − | 3.25033e28i | − | 0.681806i | ||||||
\(63\) | 5.09319e28 | + | 3.46151e28i | 0.827067 | + | 0.562103i | ||||
\(64\) | 1.12082e29 | 1.41467 | ||||||||
\(65\) | 3.27870e28 | − | 1.89296e28i | 0.322915 | − | 0.186435i | ||||
\(66\) | 5.16161e27 | + | 1.51643e29i | 0.0398182 | + | 1.16982i | ||||
\(67\) | −1.42979e29 | + | 2.47647e29i | −0.867114 | + | 1.50189i | −0.00218157 | + | 0.999998i | \(0.500694\pi\) |
−0.864933 | + | 0.501888i | \(0.832639\pi\) | |||||||
\(68\) | 1.53562e29 | − | 8.86591e28i | 0.734753 | − | 0.424210i | ||||
\(69\) | −1.82773e29 | − | 2.93073e29i | −0.692351 | − | 1.11017i | ||||
\(70\) | 3.47726e29 | − | 1.39782e29i | 1.04633 | − | 0.420614i | ||||
\(71\) | − | 3.66193e29i | − | 0.878165i | −0.898447 | − | 0.439083i | \(-0.855304\pi\) | ||
0.898447 | − | 0.439083i | \(-0.144696\pi\) | |||||||
\(72\) | −1.29941e28 | − | 1.90655e29i | −0.0249130 | − | 0.365535i | ||||
\(73\) | 2.00778e29 | − | 3.47757e29i | 0.308709 | − | 0.534700i | −0.669371 | − | 0.742928i | \(-0.733436\pi\) |
0.978080 | + | 0.208228i | \(0.0667697\pi\) | |||||||
\(74\) | 1.09743e30 | + | 6.33602e29i | 1.35728 | + | 0.783626i | ||||
\(75\) | 3.83371e29 | + | 2.04276e29i | 0.382507 | + | 0.203815i | ||||
\(76\) | 1.07077e30 | 0.864329 | ||||||||
\(77\) | −4.44984e29 | − | 1.10695e30i | −0.291402 | − | 0.724898i | ||||
\(78\) | 7.37227e29 | + | 1.18213e30i | 0.392724 | + | 0.629725i | ||||
\(79\) | 3.48971e29 | + | 6.04436e29i | 0.151620 | + | 0.262613i | 0.931823 | − | 0.362913i | \(-0.118218\pi\) |
−0.780203 | + | 0.625526i | \(0.784884\pi\) | |||||||
\(80\) | 1.27640e30 | + | 7.36932e29i | 0.453469 | + | 0.261811i | ||||
\(81\) | 3.40193e30 | − | 4.65881e29i | 0.990753 | − | 0.135680i | ||||
\(82\) | 4.74601e30 | + | 8.22032e30i | 1.13581 | + | 1.96728i | ||||
\(83\) | − | 6.05634e30i | − | 1.19388i | −0.802286 | − | 0.596940i | \(-0.796383\pi\) | ||
0.802286 | − | 0.596940i | \(-0.203617\pi\) | |||||||
\(84\) | 3.09184e30 | + | 6.99389e30i | 0.503209 | + | 1.13828i | ||||
\(85\) | 3.81006e30 | 0.513132 | ||||||||
\(86\) | 1.32508e31 | − | 7.65038e30i | 1.48002 | − | 0.854491i | ||||
\(87\) | 3.05158e30 | − | 1.03870e29i | 0.283280 | − | 0.00964229i | ||||
\(88\) | −1.85111e30 | + | 3.20622e30i | −0.143123 | + | 0.247896i | ||||
\(89\) | 5.62421e30 | − | 3.24714e30i | 0.362929 | − | 0.209537i | −0.307436 | − | 0.951569i | \(-0.599471\pi\) |
0.670365 | + | 0.742032i | \(0.266138\pi\) | |||||||
\(90\) | 9.19358e30 | − | 1.87656e31i | 0.496140 | − | 1.01270i | ||||
\(91\) | −8.62037e30 | − | 6.75931e30i | −0.389819 | − | 0.305661i | ||||
\(92\) | − | 4.28892e31i | − | 1.62833i | ||||||
\(93\) | 1.25763e31 | + | 6.70119e30i | 0.401631 | + | 0.214005i | ||||
\(94\) | 1.67051e31 | − | 2.89340e31i | 0.449575 | − | 0.778687i | ||||
\(95\) | 1.99253e31 | + | 1.15039e31i | 0.452718 | + | 0.261377i | ||||
\(96\) | −3.44708e31 | + | 6.46924e31i | −0.662386 | + | 1.24312i | ||||
\(97\) | −1.17807e32 | −1.91789 | −0.958946 | − | 0.283588i | \(-0.908475\pi\) | ||||
−0.958946 | + | 0.283588i | \(0.908475\pi\) | |||||||
\(98\) | −7.50538e31 | − | 7.82672e31i | −1.03694 | − | 1.08134i | ||||
\(99\) | −5.97384e31 | − | 2.92669e31i | −0.701602 | − | 0.343727i | ||||
\(100\) | 2.69706e31 | + | 4.67145e31i | 0.269706 | + | 0.467145i | ||||
\(101\) | 2.68291e31 | + | 1.54898e31i | 0.228804 | + | 0.132100i | 0.610020 | − | 0.792386i | \(-0.291161\pi\) |
−0.381216 | + | 0.924486i | \(0.624495\pi\) | |||||||
\(102\) | 4.76956e30 | + | 1.40125e32i | 0.0347436 | + | 1.02073i | ||||
\(103\) | −1.15452e32 | − | 1.99968e32i | −0.719457 | − | 1.24614i | −0.961215 | − | 0.275799i | \(-0.911058\pi\) |
0.241758 | − | 0.970336i | \(-0.422276\pi\) | |||||||
\(104\) | 3.39934e31i | 0.181494i | ||||||||
\(105\) | −1.76051e31 | + | 1.63362e32i | −0.0806510 | + | 0.748382i | ||||
\(106\) | 2.93876e32 | 1.15683 | ||||||||
\(107\) | −4.45912e32 | + | 2.57447e32i | −1.51046 | + | 0.872063i | −0.510532 | + | 0.859859i | \(0.670551\pi\) |
−0.999926 | + | 0.0122039i | \(0.996115\pi\) | |||||||
\(108\) | 3.89054e32 | + | 1.74453e32i | 1.13561 | + | 0.509210i | ||||
\(109\) | 6.34165e31 | − | 1.09841e32i | 0.159727 | − | 0.276655i | −0.775043 | − | 0.631908i | \(-0.782272\pi\) |
0.934770 | + | 0.355253i | \(0.115605\pi\) | |||||||
\(110\) | −3.50602e32 | + | 2.02420e32i | −0.763011 | + | 0.440525i | ||||
\(111\) | −4.71413e32 | + | 2.93994e32i | −0.887633 | + | 0.553567i | ||||
\(112\) | 6.00908e31 | − | 4.22202e32i | 0.0980211 | − | 0.688703i | ||||
\(113\) | 7.18723e32i | 1.01697i | 0.861072 | + | 0.508483i | \(0.169794\pi\) | ||||
−0.861072 | + | 0.508483i | \(0.830206\pi\) | |||||||
\(114\) | −3.98141e32 | + | 7.47205e32i | −0.489283 | + | 0.918252i | ||||
\(115\) | 4.60783e32 | − | 7.98100e32i | 0.492415 | − | 0.852888i | ||||
\(116\) | 3.28351e32 | + | 1.89574e32i | 0.305500 | + | 0.176380i | ||||
\(117\) | −6.09388e32 | + | 4.15328e31i | −0.494220 | + | 0.0336835i | ||||
\(118\) | −4.49634e32 | −0.318234 | ||||||||
\(119\) | −4.11185e32 | − | 1.02287e33i | −0.254265 | − | 0.632515i | ||||
\(120\) | 4.32639e32 | − | 2.69812e32i | 0.234005 | − | 0.145936i | ||||
\(121\) | −4.11304e32 | − | 7.12399e32i | −0.194803 | − | 0.337410i | ||||
\(122\) | −9.01503e32 | − | 5.20483e32i | −0.374291 | − | 0.216097i | ||||
\(123\) | −4.15913e33 | + | 1.41568e32i | −1.51538 | + | 0.0515803i | ||||
\(124\) | 8.84761e32 | + | 1.53245e33i | 0.283191 | + | 0.490500i | ||||
\(125\) | 3.83323e33i | 1.07896i | ||||||||
\(126\) | −6.03010e33 | − | 4.42970e32i | −1.49416 | − | 0.109760i | ||||
\(127\) | −2.48050e33 | −0.541600 | −0.270800 | − | 0.962636i | \(-0.587288\pi\) | ||||
−0.270800 | + | 0.962636i | \(0.587288\pi\) | |||||||
\(128\) | −3.19647e33 | + | 1.84548e33i | −0.615617 | + | 0.355427i | ||||
\(129\) | 2.28203e32 | + | 6.70435e33i | 0.0388048 | + | 1.14004i | ||||
\(130\) | −1.85860e33 | + | 3.21919e33i | −0.279314 | + | 0.483786i | ||||
\(131\) | 7.64969e33 | − | 4.41655e33i | 1.01696 | − | 0.587141i | 0.103737 | − | 0.994605i | \(-0.466920\pi\) |
0.913221 | + | 0.407464i | \(0.133587\pi\) | |||||||
\(132\) | −4.37116e33 | − | 7.00906e33i | −0.514534 | − | 0.825044i | ||||
\(133\) | 9.38049e32 | − | 6.59079e33i | 0.0978587 | − | 0.687561i | ||||
\(134\) | − | 2.80768e34i | − | 2.59819i | ||||||
\(135\) | 5.36543e33 | + | 7.42611e33i | 0.440823 | + | 0.610128i | ||||
\(136\) | −1.71051e33 | + | 2.96269e33i | −0.124883 | + | 0.216304i | ||||
\(137\) | −3.08334e33 | − | 1.78016e33i | −0.200213 | − | 0.115593i | 0.396542 | − | 0.918017i | \(-0.370210\pi\) |
−0.596755 | + | 0.802424i | \(0.703543\pi\) | |||||||
\(138\) | 2.99290e34 | + | 1.59474e34i | 1.72992 | + | 0.921773i | ||||
\(139\) | 2.12789e34 | 1.09575 | 0.547877 | − | 0.836559i | \(-0.315436\pi\) | ||||
0.547877 | + | 0.836559i | \(0.315436\pi\) | |||||||
\(140\) | −1.25894e34 | + | 1.60557e34i | −0.578039 | + | 0.737192i | ||||
\(141\) | 7.75121e33 | + | 1.24289e34i | 0.317588 | + | 0.509245i | ||||
\(142\) | 1.79773e34 | + | 3.11376e34i | 0.657826 | + | 1.13939i | ||||
\(143\) | 1.02480e34 | + | 5.91668e33i | 0.335168 | + | 0.193509i | ||||
\(144\) | −1.32620e34 | − | 1.97368e34i | −0.387981 | − | 0.577399i | ||||
\(145\) | 4.07340e33 | + | 7.05533e33i | 0.106676 | + | 0.184769i | ||||
\(146\) | 3.94266e34i | 0.925005i | ||||||||
\(147\) | 4.57573e34 | − | 1.29039e34i | 0.962461 | − | 0.271420i | ||||
\(148\) | −6.89881e34 | −1.30193 | ||||||||
\(149\) | 3.09429e34 | − | 1.78649e34i | 0.524301 | − | 0.302705i | −0.214392 | − | 0.976748i | \(-0.568777\pi\) |
0.738692 | + | 0.674043i | \(0.235444\pi\) | |||||||
\(150\) | −4.26267e34 | + | 1.45093e33i | −0.648966 | + | 0.0220895i | ||||
\(151\) | −6.77348e34 | + | 1.17320e35i | −0.927216 | + | 1.60599i | −0.139258 | + | 0.990256i | \(0.544472\pi\) |
−0.787958 | + | 0.615729i | \(0.788862\pi\) | |||||||
\(152\) | −1.78908e34 | + | 1.03292e34i | −0.220359 | + | 0.127225i | ||||
\(153\) | −5.52010e34 | − | 2.70439e34i | −0.612187 | − | 0.299921i | ||||
\(154\) | 9.21803e34 | + | 7.22795e34i | 0.921099 | + | 0.722243i | ||||
\(155\) | 3.80219e34i | 0.342552i | ||||||||
\(156\) | −6.69367e34 | − | 3.56666e34i | −0.544090 | − | 0.289913i | ||||
\(157\) | −7.45241e34 | + | 1.29080e35i | −0.546893 | + | 0.947247i | 0.451592 | + | 0.892225i | \(0.350856\pi\) |
−0.998485 | + | 0.0550222i | \(0.982477\pi\) | |||||||
\(158\) | −5.93465e34 | − | 3.42637e34i | −0.393443 | − | 0.227154i | ||||
\(159\) | −6.05882e34 | + | 1.13708e35i | −0.363106 | + | 0.681454i | ||||
\(160\) | −1.95584e35 | −1.06026 | ||||||||
\(161\) | −2.63991e35 | − | 3.75731e34i | −1.29532 | − | 0.184359i | ||||
\(162\) | −2.66397e35 | + | 2.06623e35i | −1.18383 | + | 0.918204i | ||||
\(163\) | −7.74946e34 | − | 1.34225e35i | −0.312083 | − | 0.540544i | 0.666730 | − | 0.745299i | \(-0.267693\pi\) |
−0.978813 | + | 0.204756i | \(0.934360\pi\) | |||||||
\(164\) | −4.47525e35 | − | 2.58378e35i | −1.63424 | − | 0.943528i | ||||
\(165\) | −6.03797e33 | − | 1.77389e35i | −0.0200054 | − | 0.587739i | ||||
\(166\) | 2.97321e35 | + | 5.14975e35i | 0.894326 | + | 1.54902i | ||||
\(167\) | − | 1.64670e35i | − | 0.449936i | −0.974366 | − | 0.224968i | \(-0.927772\pi\) | ||
0.974366 | − | 0.224968i | \(-0.0722277\pi\) | |||||||
\(168\) | −1.19126e35 | − | 8.70305e34i | −0.295842 | − | 0.216134i | ||||
\(169\) | −3.34127e35 | −0.754612 | ||||||||
\(170\) | −3.23972e35 | + | 1.87045e35i | −0.665770 | + | 0.384383i | ||||
\(171\) | −2.07027e35 | − | 3.08101e35i | −0.387338 | − | 0.576443i | ||||
\(172\) | −4.16496e35 | + | 7.21392e35i | −0.709832 | + | 1.22947i | ||||
\(173\) | −3.19279e35 | + | 1.84336e35i | −0.495945 | + | 0.286334i | −0.727037 | − | 0.686598i | \(-0.759103\pi\) |
0.231093 | + | 0.972932i | \(0.425770\pi\) | |||||||
\(174\) | −2.54378e35 | + | 1.58641e35i | −0.360323 | + | 0.224713i | ||||
\(175\) | 3.11164e35 | − | 1.25085e35i | 0.402143 | − | 0.161658i | ||||
\(176\) | 4.60674e35i | 0.543490i | ||||||||
\(177\) | 9.27007e34 | − | 1.73974e35i | 0.0998874 | − | 0.187462i | ||||
\(178\) | −3.18820e35 | + | 5.52212e35i | −0.313925 | + | 0.543734i | ||||
\(179\) | 4.13818e35 | + | 2.38918e35i | 0.372530 | + | 0.215080i | 0.674563 | − | 0.738217i | \(-0.264332\pi\) |
−0.302033 | + | 0.953297i | \(0.597665\pi\) | |||||||
\(180\) | 7.73561e34 | + | 1.13500e36i | 0.0636993 | + | 0.934625i | ||||
\(181\) | −2.22060e35 | −0.167345 | −0.0836727 | − | 0.996493i | \(-0.526665\pi\) | ||||
−0.0836727 | + | 0.996493i | \(0.526665\pi\) | |||||||
\(182\) | 1.06483e36 | + | 1.51554e35i | 0.734745 | + | 0.104574i | ||||
\(183\) | 3.87250e35 | − | 2.41506e35i | 0.244779 | − | 0.152655i | ||||
\(184\) | 4.13733e35 | + | 7.16607e35i | 0.239682 | + | 0.415141i | ||||
\(185\) | −1.28376e36 | − | 7.41178e35i | −0.681923 | − | 0.393709i | ||||
\(186\) | −1.39835e36 | + | 4.75971e34i | −0.681411 | + | 0.0231939i | ||||
\(187\) | 5.95441e35 | + | 1.03133e36i | 0.266301 | + | 0.461247i | ||||
\(188\) | 1.81889e36i | 0.746931i | ||||||||
\(189\) | 1.41462e36 | − | 2.24187e36i | 0.533643 | − | 0.845710i | ||||
\(190\) | −2.25902e36 | −0.783180 | ||||||||
\(191\) | −4.17222e36 | + | 2.40883e36i | −1.32994 | + | 0.767843i | −0.985291 | − | 0.170887i | \(-0.945337\pi\) |
−0.344652 | + | 0.938730i | \(0.612003\pi\) | |||||||
\(192\) | −1.64130e35 | − | 4.82196e36i | −0.0481247 | − | 1.41385i | ||||
\(193\) | −3.03151e36 | + | 5.25073e36i | −0.817978 | + | 1.41678i | 0.0891913 | + | 0.996015i | \(0.471572\pi\) |
−0.907170 | + | 0.420765i | \(0.861762\pi\) | |||||||
\(194\) | 1.00172e37 | − | 5.78345e36i | 2.48840 | − | 1.43668i | ||||
\(195\) | −8.62398e35 | − | 1.38284e36i | −0.197312 | − | 0.316386i | ||||
\(196\) | 5.66908e36 | + | 1.64709e36i | 1.19513 | + | 0.347233i | ||||
\(197\) | 3.71078e36i | 0.721116i | 0.932737 | + | 0.360558i | \(0.117414\pi\) | ||||
−0.932737 | + | 0.360558i | \(0.882586\pi\) | |||||||
\(198\) | 6.51638e36 | − | 4.44123e35i | 1.16779 | − | 0.0795904i | ||||
\(199\) | 5.73998e36 | − | 9.94194e36i | 0.948989 | − | 1.64370i | 0.201428 | − | 0.979503i | \(-0.435442\pi\) |
0.747561 | − | 0.664194i | \(-0.231225\pi\) | |||||||
\(200\) | −9.01268e35 | − | 5.20347e35i | −0.137523 | − | 0.0793987i | ||||
\(201\) | 1.08636e37 | + | 5.78858e36i | 1.53051 | + | 0.815521i | ||||
\(202\) | −3.04172e36 | −0.395820 | ||||||||
\(203\) | 1.45451e36 | − | 1.85499e36i | 0.174897 | − | 0.223051i | ||||
\(204\) | −4.03915e36 | − | 6.47669e36i | −0.448960 | − | 0.719897i | ||||
\(205\) | −5.55181e36 | − | 9.61601e36i | −0.570654 | − | 0.988401i | ||||
\(206\) | 1.96339e37 | + | 1.13356e37i | 1.86694 | + | 1.07788i | ||||
\(207\) | −1.23409e37 | + | 8.29239e36i | −1.08598 | + | 0.729717i | ||||
\(208\) | 2.11493e36 | + | 3.66317e36i | 0.172299 | + | 0.298431i | ||||
\(209\) | 7.19137e36i | 0.542589i | ||||||||
\(210\) | −6.52289e36 | − | 1.47551e37i | −0.455965 | − | 1.03141i | ||||
\(211\) | 3.65795e36 | 0.236984 | 0.118492 | − | 0.992955i | \(-0.462194\pi\) | ||||
0.118492 | + | 0.992955i | \(0.462194\pi\) | |||||||
\(212\) | −1.38555e37 | + | 7.99948e36i | −0.832240 | + | 0.480494i | ||||
\(213\) | −1.57543e37 | + | 5.36244e35i | −0.877657 | + | 0.0298737i | ||||
\(214\) | 2.52774e37 | − | 4.37818e37i | 1.30651 | − | 2.26294i | ||||
\(215\) | −1.55006e37 | + | 8.94930e36i | −0.743591 | + | 0.429313i | ||||
\(216\) | −8.18330e36 | + | 8.38220e35i | −0.364476 | + | 0.0373334i | ||||
\(217\) | 1.02076e37 | − | 4.10336e36i | 0.422249 | − | 0.169740i | ||||
\(218\) | 1.24531e37i | 0.478601i | ||||||||
\(219\) | −1.52551e37 | − | 8.12856e36i | −0.544892 | − | 0.290341i | ||||
\(220\) | 1.10200e37 | − | 1.90872e37i | 0.365947 | − | 0.633839i | ||||
\(221\) | 9.46960e36 | + | 5.46728e36i | 0.292452 | + | 0.168848i | ||||
\(222\) | 2.56516e37 | − | 4.81413e37i | 0.737000 | − | 1.38315i | ||||
\(223\) | −2.90875e37 | −0.777729 | −0.388864 | − | 0.921295i | \(-0.627133\pi\) | ||||
−0.388864 | + | 0.921295i | \(0.627133\pi\) | |||||||
\(224\) | 2.11076e37 | + | 5.25077e37i | 0.525376 | + | 1.30694i | ||||
\(225\) | 8.22692e36 | − | 1.67925e37i | 0.190685 | − | 0.389219i | ||||
\(226\) | −3.52839e37 | − | 6.11135e37i | −0.761801 | − | 1.31948i | ||||
\(227\) | 3.75258e36 | + | 2.16655e36i | 0.0754947 | + | 0.0435869i | 0.537272 | − | 0.843409i | \(-0.319455\pi\) |
−0.461777 | + | 0.886996i | \(0.652788\pi\) | |||||||
\(228\) | −1.56801e36 | − | 4.60665e37i | −0.0294030 | − | 0.863829i | ||||
\(229\) | −6.81990e36 | − | 1.18124e37i | −0.119237 | − | 0.206524i | 0.800229 | − | 0.599695i | \(-0.204711\pi\) |
−0.919465 | + | 0.393171i | \(0.871378\pi\) | |||||||
\(230\) | 9.04839e37i | 1.47545i | ||||||||
\(231\) | −4.69715e37 | + | 2.07650e37i | −0.714566 | + | 0.315893i | ||||
\(232\) | −7.31493e36 | −0.103849 | ||||||||
\(233\) | 3.27396e37 | − | 1.89022e37i | 0.433889 | − | 0.250506i | −0.267113 | − | 0.963665i | \(-0.586070\pi\) |
0.701002 | + | 0.713159i | \(0.252736\pi\) | |||||||
\(234\) | 4.97777e37 | − | 3.34479e37i | 0.616001 | − | 0.413919i | ||||
\(235\) | −1.95413e37 | + | 3.38466e37i | −0.225875 | + | 0.391227i | ||||
\(236\) | 2.11991e37 | − | 1.22393e37i | 0.228942 | − | 0.132180i | ||||
\(237\) | 2.54929e37 | − | 1.58985e37i | 0.257303 | − | 0.160466i | ||||
\(238\) | 8.51787e37 | + | 6.67895e37i | 0.803711 | + | 0.630197i | ||||
\(239\) | 1.47861e38i | 1.30463i | 0.757950 | + | 0.652313i | \(0.226201\pi\) | ||||
−0.757950 | + | 0.652313i | \(0.773799\pi\) | |||||||
\(240\) | 2.98350e37 | − | 5.59923e37i | 0.246233 | − | 0.462113i | ||||
\(241\) | −3.12589e36 | + | 5.41420e36i | −0.0241380 | + | 0.0418082i | −0.877842 | − | 0.478950i | \(-0.841017\pi\) |
0.853704 | + | 0.520758i | \(0.174351\pi\) | |||||||
\(242\) | 6.99468e37 | + | 4.03838e37i | 0.505501 | + | 0.291851i | ||||
\(243\) | −2.50247e37 | − | 1.45675e38i | −0.169305 | − | 0.985564i | ||||
\(244\) | 5.66714e37 | 0.359027 | ||||||||
\(245\) | 8.77968e37 | + | 9.15559e37i | 0.520980 | + | 0.543286i | ||||
\(246\) | 3.46703e38 | − | 2.16219e38i | 1.92751 | − | 1.20208i | ||||
\(247\) | 3.30152e37 | + | 5.71840e37i | 0.172014 | + | 0.297936i | ||||
\(248\) | −2.95657e37 | − | 1.70698e37i | −0.144398 | − | 0.0833683i | ||||
\(249\) | −2.60555e38 | + | 8.86876e36i | −1.19319 | + | 0.0406138i | ||||
\(250\) | −1.88182e38 | − | 3.25942e38i | −0.808237 | − | 1.39991i | ||||
\(251\) | 2.42203e38i | 0.975889i | 0.872875 | + | 0.487945i | \(0.162253\pi\) | ||||
−0.872875 | + | 0.487945i | \(0.837747\pi\) | |||||||
\(252\) | 2.96362e38 | − | 1.43258e38i | 1.12051 | − | 0.541640i | ||||
\(253\) | 2.88047e38 | 1.02220 | ||||||||
\(254\) | 2.10918e38 | − | 1.21774e38i | 0.702707 | − | 0.405708i | ||||
\(255\) | −5.57936e36 | − | 1.63916e38i | −0.0174559 | − | 0.512835i | ||||
\(256\) | −5.94955e37 | + | 1.03049e38i | −0.174842 | + | 0.302835i | ||||
\(257\) | 1.80422e38 | − | 1.04167e38i | 0.498150 | − | 0.287607i | −0.229799 | − | 0.973238i | \(-0.573807\pi\) |
0.727949 | + | 0.685631i | \(0.240474\pi\) | |||||||
\(258\) | −3.48537e38 | − | 5.58872e38i | −0.904345 | − | 1.45010i | ||||
\(259\) | −6.04371e37 | + | 4.24635e38i | −0.147403 | + | 1.03567i | ||||
\(260\) | − | 2.02369e38i | − | 0.464056i | ||||||
\(261\) | −8.93731e36 | − | 1.31132e38i | −0.0192734 | − | 0.282788i | ||||
\(262\) | −4.33639e38 | + | 7.51084e38i | −0.879645 | + | 1.52359i | ||||
\(263\) | −6.53343e38 | − | 3.77208e38i | −1.24695 | − | 0.719927i | −0.276451 | − | 0.961028i | \(-0.589158\pi\) |
−0.970500 | + | 0.241101i | \(0.922492\pi\) | |||||||
\(264\) | 1.40648e38 | + | 7.49430e37i | 0.252622 | + | 0.134607i | ||||
\(265\) | −3.43772e38 | −0.581214 | ||||||||
\(266\) | 2.43795e38 | + | 6.06470e38i | 0.388078 | + | 0.965391i | ||||
\(267\) | −1.47934e38 | − | 2.37209e38i | −0.221762 | − | 0.355591i | ||||
\(268\) | 7.64268e38 | + | 1.32375e39i | 1.07917 | + | 1.86917i | ||||
\(269\) | 8.97881e38 | + | 5.18392e38i | 1.19449 | + | 0.689639i | 0.959322 | − | 0.282316i | \(-0.0911026\pi\) |
0.235168 | + | 0.971955i | \(0.424436\pi\) | |||||||
\(270\) | −8.20791e38 | − | 3.68044e38i | −1.02899 | − | 0.461403i | ||||
\(271\) | −4.65698e38 | − | 8.06613e38i | −0.550295 | − | 0.953140i | −0.998253 | − | 0.0590848i | \(-0.981182\pi\) |
0.447958 | − | 0.894055i | \(-0.352152\pi\) | |||||||
\(272\) | 4.25684e38i | 0.474225i | ||||||||
\(273\) | −2.78174e38 | + | 3.80762e38i | −0.292223 | + | 0.399992i | ||||
\(274\) | 3.49571e38 | 0.346358 | ||||||||
\(275\) | −3.13738e38 | + | 1.81137e38i | −0.293254 | + | 0.169310i | ||||
\(276\) | −1.84517e39 | + | 6.28060e37i | −1.62739 | + | 0.0553931i | ||||
\(277\) | −6.06934e38 | + | 1.05124e39i | −0.505202 | + | 0.875036i | 0.494780 | + | 0.869019i | \(0.335249\pi\) |
−0.999982 | + | 0.00601765i | \(0.998085\pi\) | |||||||
\(278\) | −1.80936e39 | + | 1.04464e39i | −1.42170 | + | 0.820820i | ||||
\(279\) | 2.69881e38 | − | 5.50870e38i | 0.200219 | − | 0.408678i | ||||
\(280\) | 5.54661e37 | − | 3.89708e38i | 0.0388597 | − | 0.273030i | ||||
\(281\) | 2.98120e39i | 1.97283i | 0.164276 | + | 0.986414i | \(0.447471\pi\) | ||||
−0.164276 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(282\) | −1.26926e39 | − | 6.76311e38i | −0.793530 | − | 0.422825i | ||||
\(283\) | 1.38685e39 | − | 2.40210e39i | 0.819309 | − | 1.41908i | −0.0868830 | − | 0.996219i | \(-0.527691\pi\) |
0.906192 | − | 0.422866i | \(-0.138976\pi\) | |||||||
\(284\) | −1.69517e39 | − | 9.78707e38i | −0.946498 | − | 0.546461i | ||||
\(285\) | 4.65740e38 | − | 8.74069e38i | 0.245825 | − | 0.461347i | ||||
\(286\) | −1.16186e39 | −0.579824 | ||||||||
\(287\) | −1.98242e39 | + | 2.52824e39i | −0.935590 | + | 1.19319i | ||||
\(288\) | 2.83366e39 | + | 1.38826e39i | 1.26494 | + | 0.619714i | ||||
\(289\) | −6.33742e38 | − | 1.09767e39i | −0.267637 | − | 0.463562i | ||||
\(290\) | −6.92727e38 | − | 3.99946e38i | −0.276818 | − | 0.159821i | ||||
\(291\) | 1.72514e38 | + | 5.06828e39i | 0.0652434 | + | 1.91678i | ||||
\(292\) | −1.07322e39 | − | 1.85887e39i | −0.384204 | − | 0.665461i | ||||
\(293\) | − | 1.04161e39i | − | 0.353038i | −0.984297 | − | 0.176519i | \(-0.943516\pi\) | ||
0.984297 | − | 0.176519i | \(-0.0564837\pi\) | |||||||
\(294\) | −3.25729e39 | + | 3.34356e39i | −1.04544 | + | 1.07313i | ||||
\(295\) | 5.25975e38 | 0.159887 | ||||||||
\(296\) | 1.15268e39 | − | 6.65497e38i | 0.331925 | − | 0.191637i | ||||
\(297\) | −1.17164e39 | + | 2.61291e39i | −0.319661 | + | 0.712889i | ||||
\(298\) | −1.75406e39 | + | 3.03812e39i | −0.453508 | + | 0.785498i | ||||
\(299\) | 2.29048e39 | − | 1.32241e39i | 0.561290 | − | 0.324061i | ||||
\(300\) | 1.97025e39 | − | 1.22873e39i | 0.457700 | − | 0.285442i | ||||
\(301\) | 4.07543e39 | + | 3.19559e39i | 0.897656 | + | 0.703861i | ||||
\(302\) | − | 1.33011e40i | − | 2.77828i | ||||||
\(303\) | 6.27110e38 | − | 1.17692e39i | 0.124240 | − | 0.233165i | ||||
\(304\) | −1.28529e39 | + | 2.22618e39i | −0.241559 | + | 0.418392i | ||||
\(305\) | 1.05456e39 | + | 6.08853e38i | 0.188051 | + | 0.108571i | ||||
\(306\) | 6.02143e39 | − | 4.10390e38i | 1.01896 | − | 0.0694471i | ||||
\(307\) | −4.99237e39 | −0.801850 | −0.400925 | − | 0.916111i | \(-0.631311\pi\) | ||||
−0.400925 | + | 0.916111i | \(0.631311\pi\) | |||||||
\(308\) | −6.31356e39 | − | 8.98591e38i | −0.962638 | − | 0.137010i | ||||
\(309\) | −8.43393e39 | + | 5.25977e39i | −1.22094 | + | 0.761432i | ||||
\(310\) | −1.86659e39 | − | 3.23303e39i | −0.256603 | − | 0.444449i | ||||
\(311\) | 4.34286e39 | + | 2.50735e39i | 0.567035 | + | 0.327378i | 0.755964 | − | 0.654613i | \(-0.227168\pi\) |
−0.188929 | + | 0.981991i | \(0.560502\pi\) | |||||||
\(312\) | 1.46246e39 | − | 4.97791e37i | 0.181389 | − | 0.00617410i | ||||
\(313\) | −3.51613e39 | − | 6.09012e39i | −0.414339 | − | 0.717657i | 0.581020 | − | 0.813890i | \(-0.302654\pi\) |
−0.995359 | + | 0.0962329i | \(0.969321\pi\) | |||||||
\(314\) | − | 1.46343e40i | − | 1.63869i | ||||||
\(315\) | 7.05393e39 | + | 5.18180e38i | 0.750693 | + | 0.0551457i | ||||
\(316\) | 3.73072e39 | 0.377397 | ||||||||
\(317\) | 5.72097e39 | − | 3.30300e39i | 0.550201 | − | 0.317659i | −0.199002 | − | 0.979999i | \(-0.563770\pi\) |
0.749203 | + | 0.662340i | \(0.230437\pi\) | |||||||
\(318\) | −4.30345e38 | − | 1.26431e40i | −0.0393534 | − | 1.15616i | ||||
\(319\) | −1.27319e39 | + | 2.20523e39i | −0.110724 | + | 0.191780i | ||||
\(320\) | 1.11485e40 | − | 6.43660e39i | 0.922183 | − | 0.532423i | ||||
\(321\) | 1.17288e40 | + | 1.88069e40i | 0.922941 | + | 1.47992i | ||||
\(322\) | 2.42919e40 | − | 9.76511e39i | 1.81873 | − | 0.731111i | ||||
\(323\) | 6.64515e39i | 0.473439i | ||||||||
\(324\) | 6.93554e39 | − | 1.69933e40i | 0.470284 | − | 1.15228i | ||||
\(325\) | −1.66318e39 | + | 2.88071e39i | −0.107351 | + | 0.185937i | ||||
\(326\) | 1.31788e40 | + | 7.60880e39i | 0.809833 | + | 0.467557i | ||||
\(327\) | −4.81841e39 | − | 2.56745e39i | −0.281929 | − | 0.150223i | ||||
\(328\) | 9.96984e39 | 0.555529 | ||||||||
\(329\) | 1.11956e40 | + | 1.59344e39i | 0.594173 | + | 0.0845669i | ||||
\(330\) | 9.22189e39 | + | 1.47871e40i | 0.466226 | + | 0.747584i | ||||
\(331\) | 4.50032e39 | + | 7.79479e39i | 0.216768 | + | 0.375454i | 0.953818 | − | 0.300385i | \(-0.0971151\pi\) |
−0.737050 | + | 0.675838i | \(0.763782\pi\) | |||||||
\(332\) | −2.80359e40 | − | 1.61865e40i | −1.28678 | − | 0.742923i | ||||
\(333\) | 1.33385e40 | + | 1.98505e40i | 0.583443 | + | 0.868288i | ||||
\(334\) | 8.08404e39 | + | 1.40020e40i | 0.337043 | + | 0.583775i | ||||
\(335\) | 3.28438e40i | 1.30538i | ||||||||
\(336\) | −1.82519e40 | − | 1.96695e39i | −0.691639 | − | 0.0745359i | ||||
\(337\) | −3.08619e40 | −1.11518 | −0.557590 | − | 0.830117i | \(-0.688274\pi\) | ||||
−0.557590 | + | 0.830117i | \(0.688274\pi\) | |||||||
\(338\) | 2.84110e40 | − | 1.64031e40i | 0.979082 | − | 0.565273i | ||||
\(339\) | 3.09208e40 | − | 1.05248e39i | 1.01638 | − | 0.0345955i | ||||
\(340\) | 1.01830e40 | − | 1.76374e40i | 0.319309 | − | 0.553060i | ||||
\(341\) | −1.02920e40 | + | 5.94211e39i | −0.307915 | + | 0.177775i | ||||
\(342\) | 3.27291e40 | + | 1.60346e40i | 0.934365 | + | 0.457762i | ||||
\(343\) | 1.51046e40 | − | 3.34513e40i | 0.411531 | − | 0.911396i | ||||
\(344\) | − | 1.60710e40i | − | 0.417934i | ||||||
\(345\) | −3.50105e40 | − | 1.86550e40i | −0.869145 | − | 0.463116i | ||||
\(346\) | 1.80990e40 | − | 3.13484e40i | 0.428980 | − | 0.743016i | ||||
\(347\) | −4.82940e40 | − | 2.78825e40i | −1.09300 | − | 0.631045i | −0.158628 | − | 0.987338i | \(-0.550707\pi\) |
−0.934374 | + | 0.356293i | \(0.884041\pi\) | |||||||
\(348\) | 7.67498e39 | − | 1.44039e40i | 0.165886 | − | 0.311323i | ||||
\(349\) | −8.30787e40 | −1.71507 | −0.857537 | − | 0.514423i | \(-0.828006\pi\) | ||||
−0.857537 | + | 0.514423i | \(0.828006\pi\) | |||||||
\(350\) | −2.03177e40 | + | 2.59119e40i | −0.400670 | + | 0.510987i | ||||
\(351\) | 2.67919e39 | + | 2.61562e40i | 0.0504765 | + | 0.492788i | ||||
\(352\) | −3.05661e40 | − | 5.29420e40i | −0.550247 | − | 0.953055i | ||||
\(353\) | −6.80029e40 | − | 3.92615e40i | −1.16986 | − | 0.675416i | −0.216209 | − | 0.976347i | \(-0.569369\pi\) |
−0.953646 | + | 0.300931i | \(0.902703\pi\) | |||||||
\(354\) | 6.58433e38 | + | 1.93441e40i | 0.0108258 | + | 0.318050i | ||||
\(355\) | −2.10296e40 | − | 3.64243e40i | −0.330504 | − | 0.572450i | ||||
\(356\) | − | 3.47139e40i | − | 0.521559i | ||||||
\(357\) | −4.34037e40 | + | 1.91878e40i | −0.623499 | + | 0.275635i | ||||
\(358\) | −4.69163e40 | −0.644459 | ||||||||
\(359\) | 4.02139e40 | − | 2.32175e40i | 0.528281 | − | 0.305003i | −0.212035 | − | 0.977262i | \(-0.568009\pi\) |
0.740316 | + | 0.672259i | \(0.234676\pi\) | |||||||
\(360\) | −1.22414e40 | − | 1.82178e40i | −0.153812 | − | 0.228905i | ||||
\(361\) | 2.15352e40 | − | 3.73001e40i | 0.258842 | − | 0.448327i | ||||
\(362\) | 1.88819e40 | − | 1.09015e40i | 0.217125 | − | 0.125357i | ||||
\(363\) | −3.00464e40 | + | 1.87382e40i | −0.330587 | + | 0.206169i | ||||
\(364\) | −5.43293e40 | + | 2.18398e40i | −0.572021 | + | 0.229947i | ||||
\(365\) | − | 4.61207e40i | − | 0.464740i | ||||||
\(366\) | −2.10720e40 | + | 3.95464e40i | −0.203239 | + | 0.381426i | ||||
\(367\) | −9.22717e40 | + | 1.59819e41i | −0.851945 | + | 1.47561i | 0.0275062 | + | 0.999622i | \(0.491243\pi\) |
−0.879451 | + | 0.475990i | \(0.842090\pi\) | |||||||
\(368\) | 8.91687e40 | + | 5.14816e40i | 0.788220 | + | 0.455079i | ||||
\(369\) | 1.21810e40 | + | 1.78726e41i | 0.103101 | + | 1.51274i | ||||
\(370\) | 1.45545e41 | 1.17970 | ||||||||
\(371\) | 3.71002e40 | + | 9.22912e40i | 0.288001 | + | 0.716436i | ||||
\(372\) | 6.46332e40 | − | 4.03081e40i | 0.480583 | − | 0.299713i | ||||
\(373\) | 8.21411e40 | + | 1.42273e41i | 0.585086 | + | 1.01340i | 0.994865 | + | 0.101213i | \(0.0322724\pi\) |
−0.409779 | + | 0.912185i | \(0.634394\pi\) | |||||||
\(374\) | −1.01261e41 | − | 5.84633e40i | −0.691032 | − | 0.398968i | ||||
\(375\) | 1.64912e41 | − | 5.61328e39i | 1.07833 | − | 0.0367043i | ||||
\(376\) | −1.75460e40 | − | 3.03905e40i | −0.109944 | − | 0.190429i | ||||
\(377\) | 2.33806e40i | 0.140409i | ||||||||
\(378\) | −1.02270e40 | + | 2.60075e41i | −0.0588681 | + | 1.49703i | ||||
\(379\) | 8.01225e40 | 0.442107 | 0.221053 | − | 0.975262i | \(-0.429050\pi\) | ||||
0.221053 | + | 0.975262i | \(0.429050\pi\) | |||||||
\(380\) | 1.06507e41 | − | 6.14918e40i | 0.563431 | − | 0.325297i | ||||
\(381\) | 3.63238e39 | + | 1.06715e41i | 0.0184243 | + | 0.541287i | ||||
\(382\) | 2.36511e41 | − | 4.09649e41i | 1.15037 | − | 1.99250i | ||||
\(383\) | −2.58542e40 | + | 1.49269e40i | −0.120601 | + | 0.0696291i | −0.559087 | − | 0.829109i | \(-0.688848\pi\) |
0.438486 | + | 0.898738i | \(0.355515\pi\) | |||||||
\(384\) | 8.40768e40 | + | 1.34815e41i | 0.376163 | + | 0.603170i | ||||
\(385\) | −1.07831e41 | − | 8.45515e40i | −0.462778 | − | 0.362869i | ||||
\(386\) | − | 5.95297e41i | − | 2.45096i | ||||||
\(387\) | 2.88099e41 | − | 1.96354e40i | 1.13806 | − | 0.0775647i | ||||
\(388\) | −3.14858e41 | + | 5.45350e41i | −1.19346 | + | 2.06713i | ||||
\(389\) | −1.31605e41 | − | 7.59825e40i | −0.478719 | − | 0.276388i | 0.241164 | − | 0.970484i | \(-0.422471\pi\) |
−0.719882 | + | 0.694096i | \(0.755804\pi\) | |||||||
\(390\) | 1.41217e41 | + | 7.52462e40i | 0.493007 | + | 0.262694i | ||||
\(391\) | 2.66168e41 | 0.891925 | ||||||||
\(392\) | −1.10610e41 | + | 2.71669e40i | −0.355808 | + | 0.0873902i | ||||
\(393\) | −2.01210e41 | − | 3.22636e41i | −0.621397 | − | 0.996396i | ||||
\(394\) | −1.82171e41 | − | 3.15530e41i | −0.540182 | − | 0.935622i | ||||
\(395\) | 6.94226e40 | + | 4.00812e40i | 0.197673 | + | 0.114127i | ||||
\(396\) | −2.95142e41 | + | 1.98319e41i | −0.807063 | + | 0.542303i | ||||
\(397\) | 8.69261e40 | + | 1.50560e41i | 0.228298 | + | 0.395424i | 0.957304 | − | 0.289084i | \(-0.0933506\pi\) |
−0.729006 | + | 0.684508i | \(0.760017\pi\) | |||||||
\(398\) | 1.12716e42i | 2.84352i | ||||||||
\(399\) | −2.84921e41 | − | 3.07052e40i | −0.690492 | − | 0.0744124i | ||||
\(400\) | −1.29496e41 | −0.301505 | ||||||||
\(401\) | −5.45102e41 | + | 3.14715e41i | −1.21946 | + | 0.704056i | −0.964803 | − | 0.262975i | \(-0.915296\pi\) |
−0.254658 | + | 0.967031i | \(0.581963\pi\) | |||||||
\(402\) | −1.20792e42 | + | 4.11150e40i | −2.59669 | + | 0.0883860i | ||||
\(403\) | −5.45599e40 | + | 9.45005e40i | −0.112718 | + | 0.195233i | ||||
\(404\) | 1.43410e41 | − | 8.27975e40i | 0.284758 | − | 0.164405i | ||||
\(405\) | 3.11627e41 | − | 2.41705e41i | 0.594779 | − | 0.461323i | ||||
\(406\) | −3.26124e40 | + | 2.29136e41i | −0.0598364 | + | 0.420414i | ||||
\(407\) | − | 4.63329e41i | − | 0.817295i | ||||||
\(408\) | 1.29965e41 | + | 6.92507e40i | 0.220427 | + | 0.117452i | ||||
\(409\) | −1.56177e41 | + | 2.70507e41i | −0.254709 | + | 0.441170i | −0.964817 | − | 0.262924i | \(-0.915313\pi\) |
0.710107 | + | 0.704094i | \(0.248646\pi\) | |||||||
\(410\) | 9.44147e41 | + | 5.45104e41i | 1.48081 | + | 0.854944i | ||||
\(411\) | −7.20707e40 | + | 1.35257e41i | −0.108715 | + | 0.204029i | ||||
\(412\) | −1.23425e42 | −1.79080 | ||||||||
\(413\) | −5.67637e40 | − | 1.41207e41i | −0.0792264 | − | 0.197085i | ||||
\(414\) | 6.42258e41 | − | 1.31095e42i | 0.862390 | − | 1.76028i | ||||
\(415\) | −3.47801e41 | − | 6.02410e41i | −0.449326 | − | 0.778256i | ||||
\(416\) | −4.86108e41 | − | 2.80655e41i | −0.604282 | − | 0.348882i | ||||
\(417\) | −3.11604e40 | − | 9.15458e41i | −0.0372757 | − | 1.09512i | ||||
\(418\) | −3.53042e41 | − | 6.11487e41i | −0.406449 | − | 0.703990i | ||||
\(419\) | 1.38787e42i | 1.53788i | 0.639319 | + | 0.768941i | \(0.279216\pi\) | ||||
−0.639319 | + | 0.768941i | \(0.720784\pi\) | |||||||
\(420\) | 7.09181e41 | + | 5.18108e41i | 0.756429 | + | 0.552627i | ||||
\(421\) | −7.94917e41 | −0.816222 | −0.408111 | − | 0.912932i | \(-0.633812\pi\) | ||||
−0.408111 | + | 0.912932i | \(0.633812\pi\) | |||||||
\(422\) | −3.11038e41 | + | 1.79578e41i | −0.307478 | + | 0.177523i | ||||
\(423\) | 5.23363e41 | − | 3.51672e41i | 0.498147 | − | 0.334728i | ||||
\(424\) | 1.54335e41 | − | 2.67316e41i | 0.141452 | − | 0.245003i | ||||
\(425\) | −2.89908e41 | + | 1.67378e41i | −0.255880 | + | 0.147733i | ||||
\(426\) | 1.31327e42 | − | 8.19013e41i | 1.11635 | − | 0.696205i | ||||
\(427\) | 4.96470e40 | − | 3.48823e41i | 0.0406488 | − | 0.285601i | ||||
\(428\) | 2.75227e42i | 2.17065i | ||||||||
\(429\) | 2.39539e41 | − | 4.49551e41i | 0.181995 | − | 0.341556i | ||||
\(430\) | 8.78686e41 | − | 1.52193e42i | 0.643189 | − | 1.11404i | ||||
\(431\) | −5.08216e41 | − | 2.93419e41i | −0.358436 | − | 0.206943i | 0.309958 | − | 0.950750i | \(-0.399685\pi\) |
−0.668395 | + | 0.743807i | \(0.733018\pi\) | |||||||
\(432\) | −8.29691e41 | + | 5.99459e41i | −0.563867 | + | 0.407399i | ||||
\(433\) | 3.73863e41 | 0.244853 | 0.122427 | − | 0.992478i | \(-0.460932\pi\) | ||||
0.122427 | + | 0.992478i | \(0.460932\pi\) | |||||||
\(434\) | −6.66515e41 | + | 8.50028e41i | −0.420702 | + | 0.536534i | ||||
\(435\) | 2.97568e41 | − | 1.85576e41i | 0.181033 | − | 0.112900i | ||||
\(436\) | −3.38981e41 | − | 5.87132e41i | −0.198789 | − | 0.344312i | ||||
\(437\) | 1.39197e42 | + | 8.03655e41i | 0.786914 | + | 0.454325i | ||||
\(438\) | 1.69621e42 | − | 5.77354e40i | 0.924470 | − | 0.0314671i | ||||
\(439\) | 8.87832e41 | + | 1.53777e42i | 0.466550 | + | 0.808088i | 0.999270 | − | 0.0382032i | \(-0.0121634\pi\) |
−0.532720 | + | 0.846292i | \(0.678830\pi\) | |||||||
\(440\) | 4.25220e41i | 0.215462i | ||||||||
\(441\) | −6.22153e41 | − | 1.94967e42i | −0.304004 | − | 0.952671i | ||||
\(442\) | −1.07361e42 | −0.505929 | ||||||||
\(443\) | 2.14856e42 | − | 1.24047e42i | 0.976533 | − | 0.563802i | 0.0753114 | − | 0.997160i | \(-0.476005\pi\) |
0.901222 | + | 0.433358i | \(0.142672\pi\) | |||||||
\(444\) | 1.01025e41 | + | 2.96799e42i | 0.0442894 | + | 1.30117i | ||||
\(445\) | 3.72951e41 | − | 6.45970e41i | 0.157722 | − | 0.273182i | ||||
\(446\) | 2.47333e42 | − | 1.42798e42i | 1.00908 | − | 0.582590i | ||||
\(447\) | −8.13891e41 | − | 1.30506e42i | −0.320366 | − | 0.513700i | ||||
\(448\) | −2.93117e42 | − | 2.29836e42i | −1.11325 | − | 0.872910i | ||||
\(449\) | − | 1.38256e42i | − | 0.506691i | −0.967376 | − | 0.253345i | \(-0.918469\pi\) | ||
0.967376 | − | 0.253345i | \(-0.0815309\pi\) | |||||||
\(450\) | 1.24843e41 | + | 1.83175e42i | 0.0441534 | + | 0.647838i | ||||
\(451\) | 1.73529e42 | − | 3.00561e42i | 0.592307 | − | 1.02591i | ||||
\(452\) | 3.32709e42 | + | 1.92090e42i | 1.09610 | + | 0.632834i | ||||
\(453\) | 5.14652e42 | + | 2.74227e42i | 1.63660 | + | 0.872046i | ||||
\(454\) | −4.25446e41 | −0.130602 | ||||||||
\(455\) | −1.24562e42 | − | 1.77285e41i | −0.369150 | − | 0.0525401i | ||||
\(456\) | 4.70581e41 | + | 7.54567e41i | 0.134647 | + | 0.215904i | ||||
\(457\) | −1.84898e42 | − | 3.20253e42i | −0.510827 | − | 0.884778i | −0.999921 | − | 0.0125472i | \(-0.996006\pi\) |
0.489094 | − | 0.872231i | \(-0.337327\pi\) | |||||||
\(458\) | 1.15980e42 | + | 6.69612e41i | 0.309411 | + | 0.178639i | ||||
\(459\) | −1.08264e42 | + | 2.41445e42i | −0.278922 | + | 0.622035i | ||||
\(460\) | −2.46303e42 | − | 4.26609e42i | −0.612836 | − | 1.06146i | ||||
\(461\) | − | 4.40402e42i | − | 1.05836i | −0.848509 | − | 0.529182i | \(-0.822499\pi\) | ||
0.848509 | − | 0.529182i | \(-0.177501\pi\) | |||||||
\(462\) | 2.97461e42 | − | 4.07161e42i | 0.690491 | − | 0.945136i | ||||
\(463\) | 5.29968e42 | 1.18837 | 0.594187 | − | 0.804327i | \(-0.297474\pi\) | ||||
0.594187 | + | 0.804327i | \(0.297474\pi\) | |||||||
\(464\) | −7.88266e41 | + | 4.55105e41i | −0.170759 | + | 0.0985880i | ||||
\(465\) | 1.63577e42 | − | 5.56784e40i | 0.342354 | − | 0.0116530i | ||||
\(466\) | −1.85591e42 | + | 3.21453e42i | −0.375304 | + | 0.650045i | ||||
\(467\) | 6.24330e42 | − | 3.60457e42i | 1.21996 | − | 0.704342i | 0.255047 | − | 0.966929i | \(-0.417909\pi\) |
0.964908 | + | 0.262587i | \(0.0845756\pi\) | |||||||
\(468\) | −1.43642e42 | + | 2.93197e42i | −0.271236 | + | 0.553637i | ||||
\(469\) | 8.81747e42 | − | 3.54454e42i | 1.60908 | − | 0.646836i | ||||
\(470\) | − | 3.83733e42i | − | 0.676804i | ||||||
\(471\) | 5.66237e42 | + | 3.01714e42i | 0.965303 | + | 0.514353i | ||||
\(472\) | −2.36134e41 | + | 4.08996e41i | −0.0389123 | + | 0.0673981i | ||||
\(473\) | −4.84492e42 | − | 2.79722e42i | −0.771806 | − | 0.445603i | ||||
\(474\) | −1.38718e42 | + | 2.60337e42i | −0.213638 | + | 0.400942i | ||||
\(475\) | −2.02149e42 | −0.301006 | ||||||||
\(476\) | −5.83401e42 | − | 8.30339e41i | −0.839955 | − | 0.119548i | ||||
\(477\) | 4.98064e42 | + | 2.44010e42i | 0.693412 | + | 0.339714i | ||||
\(478\) | −7.25884e42 | − | 1.25727e43i | −0.977284 | − | 1.69271i | ||||
\(479\) | −1.18745e42 | − | 6.85577e41i | −0.154614 | − | 0.0892665i | 0.420697 | − | 0.907201i | \(-0.361786\pi\) |
−0.575311 | + | 0.817935i | \(0.695119\pi\) | |||||||
\(480\) | 2.86408e41 | + | 8.41437e42i | 0.0360683 | + | 1.05965i | ||||
\(481\) | −2.12712e42 | − | 3.68428e42i | −0.259102 | − | 0.448778i | ||||
\(482\) | − | 6.13830e41i | − | 0.0723262i | ||||||
\(483\) | −1.22988e42 | + | 1.14124e43i | −0.140188 | + | 1.30084i | ||||
\(484\) | −4.39709e42 | −0.484886 | ||||||||
\(485\) | −1.17180e43 | + | 6.76539e42i | −1.25022 | + | 0.721814i | ||||
\(486\) | 9.27941e42 | + | 1.11583e43i | 0.957944 | + | 1.15191i | ||||
\(487\) | −6.98195e42 | + | 1.20931e43i | −0.697451 | + | 1.20802i | 0.271897 | + | 0.962326i | \(0.412349\pi\) |
−0.969347 | + | 0.245694i | \(0.920984\pi\) | |||||||
\(488\) | −9.46884e41 | + | 5.46684e41i | −0.0915334 | + | 0.0528469i | ||||
\(489\) | −5.66111e42 | + | 3.53052e42i | −0.529614 | + | 0.330291i | ||||
\(490\) | −1.19601e43 | − | 3.47489e42i | −1.08292 | − | 0.314633i | ||||
\(491\) | − | 1.29382e43i | − | 1.13389i | −0.823755 | − | 0.566946i | \(-0.808125\pi\) | ||
0.823755 | − | 0.566946i | \(-0.191875\pi\) | |||||||
\(492\) | −1.04606e43 | + | 1.96317e43i | −0.887388 | + | 1.66539i | ||||
\(493\) | −1.17649e42 | + | 2.03773e42i | −0.0966130 | + | 0.167339i | ||||
\(494\) | −5.61461e42 | − | 3.24159e42i | −0.446363 | − | 0.257708i | ||||
\(495\) | −7.62276e42 | + | 5.19529e41i | −0.586718 | + | 0.0399877i | ||||
\(496\) | −4.24805e42 | −0.316579 | ||||||||
\(497\) | −7.50918e42 | + | 9.57669e42i | −0.541864 | + | 0.691056i | ||||
\(498\) | 2.17197e43 | − | 1.35454e43i | 1.51770 | − | 0.946503i | ||||
\(499\) | −7.73250e42 | − | 1.33931e43i | −0.523253 | − | 0.906300i | −0.999634 | − | 0.0270611i | \(-0.991385\pi\) |
0.476381 | − | 0.879239i | \(-0.341948\pi\) | |||||||
\(500\) | 1.77447e43 | + | 1.02449e43i | 1.16291 | + | 0.671409i | ||||
\(501\) | −7.08439e42 | + | 2.41138e41i | −0.449675 | + | 0.0153060i | ||||
\(502\) | −1.18904e43 | − | 2.05947e43i | −0.731030 | − | 1.26618i | ||||
\(503\) | 4.87008e41i | 0.0290034i | 0.999895 | + | 0.0145017i | \(0.00461619\pi\) | ||||
−0.999895 | + | 0.0145017i | \(0.995384\pi\) | |||||||
\(504\) | −3.56977e42 | + | 5.25248e42i | −0.205945 | + | 0.303023i | ||||
\(505\) | 3.55816e42 | 0.198867 | ||||||||
\(506\) | −2.44928e43 | + | 1.41409e43i | −1.32627 | + | 0.765720i | ||||
\(507\) | 4.89287e41 | + | 1.43747e43i | 0.0256706 | + | 0.754175i | ||||
\(508\) | −6.62950e42 | + | 1.14826e43i | −0.337025 | + | 0.583744i | ||||
\(509\) | −4.57995e41 | + | 2.64424e41i | −0.0225619 | + | 0.0130261i | −0.511239 | − | 0.859439i | \(-0.670813\pi\) |
0.488677 | + | 0.872465i | \(0.337480\pi\) | |||||||
\(510\) | 8.52144e42 | + | 1.36639e43i | 0.406809 | + | 0.652309i | ||||
\(511\) | −1.23819e43 | + | 4.97739e42i | −0.572864 | + | 0.230286i | ||||
\(512\) | − | 2.75357e43i | − | 1.23474i | ||||||
\(513\) | −1.29519e43 | + | 9.35787e42i | −0.562932 | + | 0.406724i | ||||
\(514\) | −1.02276e43 | + | 1.77147e43i | −0.430888 | + | 0.746320i | ||||
\(515\) | −2.29674e43 | − | 1.32602e43i | −0.937986 | − | 0.541546i | ||||
\(516\) | 3.16455e43 | + | 1.68620e43i | 1.25290 | + | 0.667597i | ||||
\(517\) | −1.22158e43 | −0.468891 | ||||||||
\(518\) | −1.57074e43 | − | 3.90740e43i | −0.584557 | − | 1.45416i | ||||
\(519\) | 8.39801e42 | + | 1.34660e43i | 0.303039 | + | 0.485917i | ||||
\(520\) | 1.95216e42 | + | 3.38124e42i | 0.0683065 | + | 0.118310i | ||||
\(521\) | 4.73706e43 | + | 2.73494e43i | 1.60733 | + | 0.927993i | 0.989964 | + | 0.141317i | \(0.0451336\pi\) |
0.617366 | + | 0.786676i | \(0.288200\pi\) | |||||||
\(522\) | 7.19755e42 | + | 1.07115e43i | 0.236841 | + | 0.352470i | ||||
\(523\) | 1.70800e43 | + | 2.95834e43i | 0.545080 | + | 0.944106i | 0.998602 | + | 0.0528611i | \(0.0168341\pi\) |
−0.453522 | + | 0.891245i | \(0.649833\pi\) | |||||||
\(524\) | − | 4.72157e43i | − | 1.46145i | ||||||
\(525\) | −5.83704e42 | − | 1.32037e43i | −0.175244 | − | 0.396411i | ||||
\(526\) | 7.40722e43 | 2.15717 | ||||||||
\(527\) | −9.51031e42 | + | 5.49078e42i | −0.268673 | + | 0.155119i | ||||
\(528\) | 1.98190e43 | − | 6.74600e41i | 0.543175 | − | 0.0184886i | ||||
\(529\) | 1.33856e43 | − | 2.31845e43i | 0.355915 | − | 0.616462i | ||||
\(530\) | 2.92311e43 | − | 1.68766e43i | 0.754105 | − | 0.435382i | ||||
\(531\) | −7.62044e42 | − | 3.73339e42i | −0.190751 | − | 0.0934525i | ||||
\(532\) | −2.80028e43 | − | 2.19573e43i | −0.680167 | − | 0.533326i | ||||
\(533\) | − | 3.18665e43i | − | 0.751101i | ||||||
\(534\) | 2.42240e43 | + | 1.29076e43i | 0.554098 | + | 0.295246i | ||||
\(535\) | −2.95692e43 | + | 5.12153e43i | −0.656415 | + | 1.13694i | ||||
\(536\) | −2.55393e43 | − | 1.47451e43i | −0.550265 | − | 0.317696i | ||||
\(537\) | 9.67270e42 | − | 1.81531e43i | 0.202283 | − | 0.379631i | ||||
\(538\) | −1.01797e44 | −2.06641 | ||||||||
\(539\) | −1.10620e43 | + | 3.80739e43i | −0.217978 | + | 0.750252i | ||||
\(540\) | 4.87166e43 | − | 4.99007e42i | 0.931917 | − | 0.0954568i | ||||
\(541\) | 2.93265e43 | + | 5.07950e43i | 0.544633 | + | 0.943332i | 0.998630 | + | 0.0523286i | \(0.0166643\pi\) |
−0.453997 | + | 0.891003i | \(0.650002\pi\) | |||||||
\(542\) | 7.91972e43 | + | 4.57245e43i | 1.42798 | + | 0.824443i | ||||
\(543\) | 3.25180e41 | + | 9.55343e42i | 0.00569280 | + | 0.167249i | ||||
\(544\) | −2.82444e43 | − | 4.89208e43i | −0.480121 | − | 0.831594i | ||||
\(545\) | − | 1.45674e43i | − | 0.240458i | ||||||
\(546\) | 4.96081e42 | − | 4.60327e43i | 0.0795189 | − | 0.737877i | ||||
\(547\) | 2.80343e43 | 0.436408 | 0.218204 | − | 0.975903i | \(-0.429980\pi\) | ||||
0.218204 | + | 0.975903i | \(0.429980\pi\) | |||||||
\(548\) | −1.64814e43 | + | 9.51553e42i | −0.249175 | + | 0.143861i | ||||
\(549\) | −1.09571e43 | − | 1.63065e43i | −0.160893 | − | 0.239444i | ||||
\(550\) | 1.77849e43 | − | 3.08043e43i | 0.253658 | − | 0.439348i | ||||
\(551\) | −1.23052e43 | + | 7.10443e42i | −0.170476 | + | 0.0984246i | ||||
\(552\) | 3.02239e43 | − | 1.88489e43i | 0.406747 | − | 0.253666i | ||||
\(553\) | 3.26830e42 | − | 2.29632e43i | 0.0427287 | − | 0.300214i | ||||
\(554\) | − | 1.19184e44i | − | 1.51377i | ||||||
\(555\) | −3.00069e43 | + | 5.63150e43i | −0.370283 | + | 0.694922i | ||||
\(556\) | 5.68712e43 | − | 9.85039e43i | 0.681861 | − | 1.18102i | ||||
\(557\) | 1.83601e43 | + | 1.06002e43i | 0.213891 | + | 0.123490i | 0.603118 | − | 0.797652i | \(-0.293925\pi\) |
−0.389227 | + | 0.921142i | \(0.627258\pi\) | |||||||
\(558\) | 4.09542e42 | + | 6.00899e43i | 0.0463609 | + | 0.680228i | ||||
\(559\) | −5.13675e43 | −0.565066 | ||||||||
\(560\) | −1.82690e43 | − | 4.54463e43i | −0.195301 | − | 0.485836i | ||||
\(561\) | 4.34979e43 | − | 2.71272e43i | 0.451921 | − | 0.281838i | ||||
\(562\) | −1.46354e44 | − | 2.53493e44i | −1.47783 | − | 2.55967i | ||||
\(563\) | 1.59999e44 | + | 9.23754e43i | 1.57030 | + | 0.906614i | 0.996131 | + | 0.0878771i | \(0.0280083\pi\) |
0.574169 | + | 0.818736i | \(0.305325\pi\) | |||||||
\(564\) | 7.82518e43 | − | 2.66353e42i | 0.746498 | − | 0.0254093i | ||||
\(565\) | 4.12746e43 | + | 7.14897e43i | 0.382743 | + | 0.662931i | ||||
\(566\) | 2.72336e44i | 2.45495i | ||||||||
\(567\) | −9.85208e43 | − | 5.75765e43i | −0.863374 | − | 0.504564i | ||||
\(568\) | 3.77646e43 | 0.321745 | ||||||||
\(569\) | −1.63831e44 | + | 9.45881e43i | −1.35707 | + | 0.783502i | −0.989227 | − | 0.146387i | \(-0.953235\pi\) |
−0.367839 | + | 0.929890i | \(0.619902\pi\) | |||||||
\(570\) | 3.30805e42 | + | 9.71870e43i | 0.0266425 | + | 0.782727i | ||||
\(571\) | 5.17070e43 | − | 8.95592e43i | 0.404923 | − | 0.701347i | −0.589390 | − | 0.807849i | \(-0.700632\pi\) |
0.994312 | + | 0.106502i | \(0.0339651\pi\) | |||||||
\(572\) | 5.47786e43 | − | 3.16265e43i | 0.417133 | − | 0.240832i | ||||
\(573\) | 1.09742e44 | + | 1.75969e44i | 0.812641 | + | 1.30305i | ||||
\(574\) | 4.44488e43 | − | 3.12300e44i | 0.320088 | − | 2.24896i | ||||
\(575\) | 8.09700e43i | 0.567072i | ||||||||
\(576\) | −2.07209e44 | + | 1.41223e43i | −1.41140 | + | 0.0961937i | ||||
\(577\) | −3.46963e43 | + | 6.00957e43i | −0.229863 | + | 0.398135i | −0.957767 | − | 0.287544i | \(-0.907161\pi\) |
0.727904 | + | 0.685679i | \(0.240495\pi\) | |||||||
\(578\) | 1.07775e44 | + | 6.22239e43i | 0.694500 | + | 0.400970i | ||||
\(579\) | 2.30335e44 | + | 1.22732e44i | 1.44379 | + | 0.769308i | ||||
\(580\) | 4.35471e43 | 0.265529 | ||||||||
\(581\) | −1.24192e44 | + | 1.58386e44i | −0.736673 | + | 0.939502i | ||||
\(582\) | −2.63483e44 | − | 4.22490e44i | −1.52050 | − | 2.43808i | ||||
\(583\) | −5.37251e43 | − | 9.30545e43i | −0.301634 | − | 0.522445i | ||||
\(584\) | 3.58633e43 | + | 2.07057e43i | 0.195905 | + | 0.113106i | ||||
\(585\) | −5.82292e43 | + | 3.91269e43i | −0.309490 | + | 0.207961i | ||||
\(586\) | 5.11350e43 | + | 8.85684e43i | 0.264458 | + | 0.458054i | ||||
\(587\) | 2.87420e44i | 1.44646i | 0.690605 | + | 0.723232i | \(0.257344\pi\) | ||||
−0.690605 | + | 0.723232i | \(0.742656\pi\) | |||||||
\(588\) | 6.25593e43 | − | 2.46306e44i | 0.306376 | − | 1.20625i | ||||
\(589\) | −6.63143e43 | −0.316055 | ||||||||
\(590\) | −4.47240e43 | + | 2.58214e43i | −0.207448 | + | 0.119770i | ||||
\(591\) | 1.59644e44 | − | 5.43397e42i | 0.720699 | − | 0.0245311i | ||||
\(592\) | 8.28091e43 | − | 1.43430e44i | 0.363857 | − | 0.630219i | ||||
\(593\) | 9.85625e43 | − | 5.69051e43i | 0.421538 | − | 0.243375i | −0.274197 | − | 0.961674i | \(-0.588412\pi\) |
0.695735 | + | 0.718298i | \(0.255079\pi\) | |||||||
\(594\) | −2.86494e43 | − | 2.79696e44i | −0.119270 | − | 1.16440i | ||||
\(595\) | −9.96408e43 | − | 7.81293e43i | −0.403800 | − | 0.316623i | ||||
\(596\) | − | 1.90987e44i | − | 0.753464i | ||||||
\(597\) | −4.36126e44 | − | 2.32386e44i | −1.67503 | − | 0.892524i | ||||
\(598\) | −1.29841e44 | + | 2.24891e44i | −0.485503 | + | 0.840915i | ||||
\(599\) | 3.98729e44 | + | 2.30207e44i | 1.45161 | + | 0.838086i | 0.998573 | − | 0.0534073i | \(-0.0170082\pi\) |
0.453034 | + | 0.891493i | \(0.350341\pi\) | |||||||
\(600\) | −2.10665e43 | + | 3.95361e43i | −0.0746744 | + | 0.140144i | ||||
\(601\) | 2.31605e44 | 0.799386 | 0.399693 | − | 0.916649i | \(-0.369117\pi\) | ||||
0.399693 | + | 0.916649i | \(0.369117\pi\) | |||||||
\(602\) | −5.03416e44 | − | 7.16498e43i | −1.69193 | − | 0.240808i | ||||
\(603\) | 2.33127e44 | − | 4.75849e44i | 0.762983 | − | 1.55737i | ||||
\(604\) | 3.62064e44 | + | 6.27112e44i | 1.15397 | + | 1.99873i | ||||
\(605\) | −8.18228e43 | − | 4.72404e43i | −0.253973 | − | 0.146632i | ||||
\(606\) | 4.45422e42 | + | 1.30860e44i | 0.0134651 | + | 0.395591i | ||||
\(607\) | 1.78005e43 | + | 3.08314e43i | 0.0524099 | + | 0.0907766i | 0.891040 | − | 0.453925i | \(-0.149976\pi\) |
−0.838630 | + | 0.544701i | \(0.816643\pi\) | |||||||
\(608\) | − | 3.41119e44i | − | 0.978247i | ||||||
\(609\) | −8.19349e43 | − | 5.98594e43i | −0.228872 | − | 0.167208i | ||||
\(610\) | −1.19560e44 | −0.325319 | ||||||||
\(611\) | −9.71368e43 | + | 5.60820e43i | −0.257469 | + | 0.148650i | ||||
\(612\) | −2.72724e44 | + | 1.83256e44i | −0.704208 | + | 0.473189i | ||||
\(613\) | −1.47335e44 | + | 2.55191e44i | −0.370628 | + | 0.641946i | −0.989662 | − | 0.143418i | \(-0.954191\pi\) |
0.619035 | + | 0.785364i | \(0.287524\pi\) | |||||||
\(614\) | 4.24505e44 | − | 2.45088e44i | 1.04037 | − | 0.600659i | ||||
\(615\) | −4.05568e44 | + | 2.52930e44i | −0.968417 | + | 0.603947i | ||||
\(616\) | 1.14157e44 | − | 4.58901e43i | 0.265590 | − | 0.106765i | ||||
\(617\) | − | 2.79566e44i | − | 0.633756i | −0.948466 | − | 0.316878i | \(-0.897365\pi\) | ||
0.948466 | − | 0.316878i | \(-0.102635\pi\) | |||||||
\(618\) | 4.58927e44 | − | 8.61284e44i | 1.01374 | − | 1.90253i | ||||
\(619\) | −3.36088e44 | + | 5.82121e44i | −0.723440 | + | 1.25303i | 0.236174 | + | 0.971711i | \(0.424107\pi\) |
−0.959613 | + | 0.281323i | \(0.909227\pi\) | |||||||
\(620\) | 1.76010e44 | + | 1.01619e44i | 0.369207 | + | 0.213162i | ||||
\(621\) | 3.74825e44 | + | 5.18783e44i | 0.766237 | + | 1.06052i | ||||
\(622\) | −4.92368e44 | −0.980943 | ||||||||
\(623\) | −2.13671e44 | − | 3.04111e43i | −0.414893 | − | 0.0590505i | ||||
\(624\) | 1.54499e44 | − | 9.63525e43i | 0.292397 | − | 0.182352i | ||||
\(625\) | 1.02655e44 | + | 1.77803e44i | 0.189364 | + | 0.327988i | ||||
\(626\) | 5.97958e44 | + | 3.45231e44i | 1.07518 | + | 0.620756i | ||||
\(627\) | 3.09386e44 | − | 1.05309e43i | 0.542275 | − | 0.0184579i | ||||
\(628\) | 3.98354e44 | + | 6.89970e44i | 0.680637 | + | 1.17890i | ||||
\(629\) | − | 4.28137e44i | − | 0.713136i | ||||||
\(630\) | −6.25239e44 | + | 3.02234e44i | −1.01531 | + | 0.490788i | ||||
\(631\) | 1.21762e45 | 1.92771 | 0.963856 | − | 0.266422i | \(-0.0858415\pi\) | ||||
0.963856 | + | 0.266422i | \(0.0858415\pi\) | |||||||
\(632\) | −6.23340e43 | + | 3.59885e43i | −0.0962169 | + | 0.0555509i | ||||
\(633\) | −5.35662e42 | − | 1.57372e44i | −0.00806179 | − | 0.236847i | ||||
\(634\) | −3.24305e44 | + | 5.61713e44i | −0.475911 | + | 0.824302i | ||||
\(635\) | −2.46729e44 | + | 1.42449e44i | −0.353053 | + | 0.203835i | ||||
\(636\) | 3.64442e44 | + | 5.84375e44i | 0.508527 | + | 0.815413i | ||||
\(637\) | 8.68331e43 | + | 3.53540e44i | 0.118156 | + | 0.481069i | ||||
\(638\) | − | 2.50016e44i | − | 0.331770i | ||||||
\(639\) | 4.61404e43 | + | 6.76992e44i | 0.0597128 | + | 0.876133i | ||||
\(640\) | −2.11963e44 | + | 3.67131e44i | −0.267535 | + | 0.463385i | ||||
\(641\) | −7.62105e44 | − | 4.40002e44i | −0.938181 | − | 0.541659i | −0.0487913 | − | 0.998809i | \(-0.515537\pi\) |
−0.889390 | + | 0.457150i | \(0.848870\pi\) | |||||||
\(642\) | −1.92059e45 | − | 1.02337e45i | −2.30608 | − | 1.22877i | ||||
\(643\) | 7.19018e44 | 0.842101 | 0.421050 | − | 0.907037i | \(-0.361662\pi\) | ||||
0.421050 | + | 0.907037i | \(0.361662\pi\) | |||||||
\(644\) | −8.79490e44 | + | 1.12164e45i | −1.00475 | + | 1.28139i | ||||
\(645\) | 4.07714e44 | + | 6.53761e44i | 0.454360 | + | 0.728557i | ||||
\(646\) | −3.26227e44 | − | 5.65041e44i | −0.354649 | − | 0.614271i | ||||
\(647\) | −4.20119e44 | − | 2.42556e44i | −0.445558 | − | 0.257243i | 0.260394 | − | 0.965502i | \(-0.416147\pi\) |
−0.705952 | + | 0.708259i | \(0.749481\pi\) | |||||||
\(648\) | 4.80452e43 | + | 3.50833e44i | 0.0497107 | + | 0.362995i | ||||
\(649\) | 8.22000e43 | + | 1.42375e44i | 0.0829768 | + | 0.143720i | ||||
\(650\) | − | 3.26598e44i | − | 0.321662i | ||||||
\(651\) | −1.91482e44 | − | 4.33141e44i | −0.184006 | − | 0.416230i | ||||
\(652\) | −8.28465e44 | −0.776807 | ||||||||
\(653\) | −8.06706e44 | + | 4.65752e44i | −0.738081 | + | 0.426131i | −0.821371 | − | 0.570394i | \(-0.806791\pi\) |
0.0832901 | + | 0.996525i | \(0.473457\pi\) | |||||||
\(654\) | 5.35754e44 | − | 1.82360e43i | 0.478324 | − | 0.0162812i | ||||
\(655\) | 5.07264e44 | − | 8.78607e44i | 0.441950 | − | 0.765480i | ||||
\(656\) | 1.07436e45 | − | 6.20283e44i | 0.913459 | − | 0.527386i | ||||
\(657\) | −3.27366e44 | + | 6.68207e44i | −0.271636 | + | 0.554453i | ||||
\(658\) | −1.03019e45 | + | 4.14128e44i | −0.834266 | + | 0.335367i | ||||
\(659\) | − | 1.36400e45i | − | 1.07807i | −0.842283 | − | 0.539035i | \(-0.818789\pi\) | ||
0.842283 | − | 0.539035i | \(-0.181211\pi\) | |||||||
\(660\) | −8.37303e44 | − | 4.46149e44i | −0.645921 | − | 0.344173i | ||||
\(661\) | −1.04747e45 | + | 1.81428e45i | −0.788715 | + | 1.36609i | 0.138039 | + | 0.990427i | \(0.455920\pi\) |
−0.926754 | + | 0.375668i | \(0.877413\pi\) | |||||||
\(662\) | −7.65330e44 | − | 4.41864e44i | −0.562498 | − | 0.324758i | ||||
\(663\) | 2.21345e44 | − | 4.15406e44i | 0.158801 | − | 0.298027i | ||||
\(664\) | 6.24576e44 | 0.437417 | ||||||||
\(665\) | −2.85188e44 | − | 7.09440e44i | −0.194978 | − | 0.485031i | ||||
\(666\) | −2.10869e45 | − | 1.03308e45i | −1.40742 | − | 0.689521i | ||||
\(667\) | 2.84565e44 | + | 4.92881e44i | 0.185425 | + | 0.321165i | ||||
\(668\) | −7.62285e44 | − | 4.40105e44i | −0.484947 | − | 0.279984i | ||||
\(669\) | 4.25950e43 | + | 1.25140e45i | 0.0264570 | + | 0.777279i | ||||
\(670\) | −1.61238e45 | − | 2.79273e45i | −0.977849 | − | 1.69368i | ||||
\(671\) | 3.80609e44i | 0.225382i | ||||||||
\(672\) | 2.22807e45 | − | 9.84978e44i | 1.28831 | − | 0.569532i | ||||
\(673\) | 3.30345e45 | 1.86520 | 0.932602 | − | 0.360906i | \(-0.117532\pi\) | ||||
0.932602 | + | 0.360906i | \(0.117532\pi\) | |||||||
\(674\) | 2.62421e45 | − | 1.51509e45i | 1.44691 | − | 0.835371i | ||||
\(675\) | −7.34489e44 | − | 3.29347e44i | −0.395481 | − | 0.177334i | ||||
\(676\) | −8.93005e44 | + | 1.54673e45i | −0.469577 | + | 0.813331i | ||||
\(677\) | −5.00924e44 | + | 2.89209e44i | −0.257249 | + | 0.148523i | −0.623079 | − | 0.782159i | \(-0.714118\pi\) |
0.365830 | + | 0.930682i | \(0.380785\pi\) | |||||||
\(678\) | −2.57754e45 | + | 1.60747e45i | −1.29280 | + | 0.806246i | ||||
\(679\) | 3.08090e45 | + | 2.41576e45i | 1.50925 | + | 1.18342i | ||||
\(680\) | 3.92922e44i | 0.188003i | ||||||||
\(681\) | 8.77138e43 | − | 1.64615e44i | 0.0409934 | − | 0.0769337i | ||||
\(682\) | 5.83426e44 | − | 1.01052e45i | 0.266339 | − | 0.461314i | ||||
\(683\) | −3.60210e45 | − | 2.07968e45i | −1.60629 | − | 0.927394i | −0.990190 | − | 0.139729i | \(-0.955377\pi\) |
−0.616104 | − | 0.787665i | \(-0.711290\pi\) | |||||||
\(684\) | −1.97957e45 | + | 1.34917e44i | −0.862328 | + | 0.0587719i | ||||
\(685\) | −4.08923e44 | −0.174017 | ||||||||
\(686\) | 3.57855e44 | + | 3.58590e45i | 0.148772 | + | 1.49078i | ||||
\(687\) | −4.98205e44 | + | 3.10702e44i | −0.202349 | + | 0.126193i | ||||
\(688\) | −9.99872e44 | − | 1.73183e45i | −0.396761 | − | 0.687211i | ||||
\(689\) | −8.54417e44 | − | 4.93298e44i | −0.331255 | − | 0.191250i | ||||
\(690\) | 3.89278e45 | − | 1.32502e44i | 1.47460 | − | 0.0501924i | ||||
\(691\) | −7.95997e44 | − | 1.37871e45i | −0.294620 | − | 0.510297i | 0.680276 | − | 0.732956i | \(-0.261860\pi\) |
−0.974896 | + | 0.222659i | \(0.928527\pi\) | |||||||
\(692\) | 1.97067e45i | 0.712714i | ||||||||
\(693\) | 9.62132e44 | + | 1.99039e45i | 0.340019 | + | 0.703406i | ||||
\(694\) | 5.47529e45 | 1.89084 | ||||||||
\(695\) | 2.11656e45 | − | 1.22200e45i | 0.714290 | − | 0.412396i | ||||
\(696\) | 1.07118e43 | + | 3.14702e44i | 0.00353277 | + | 0.103789i | ||||
\(697\) | 1.60348e45 | − | 2.77731e45i | 0.516821 | − | 0.895160i | ||||
\(698\) | 7.06423e45 | − | 4.07854e45i | 2.22525 | − | 1.28475i | ||||
\(699\) | −8.61151e44 | − | 1.38084e45i | −0.265121 | − | 0.425116i | ||||
\(700\) | 2.52594e44 | − | 1.77474e45i | 0.0760071 | − | 0.534031i | ||||
\(701\) | − | 1.57130e44i | − | 0.0462138i | −0.999733 | − | 0.0231069i | \(-0.992644\pi\) | ||
0.999733 | − | 0.0231069i | \(-0.00735582\pi\) | |||||||
\(702\) | −1.51188e45 | − | 2.09255e45i | −0.434635 | − | 0.601563i | ||||
\(703\) | 1.29269e45 | − | 2.23901e45i | 0.363254 | − | 0.629174i | ||||
\(704\) | 3.48461e45 | + | 2.01184e45i | 0.957175 | + | 0.552625i | ||||
\(705\) | 1.48476e45 | + | 7.91139e44i | 0.398685 | + | 0.212435i | ||||
\(706\) | 7.70977e45 | 2.02379 | ||||||||
\(707\) | −3.84000e44 | − | 9.55247e44i | −0.0985419 | − | 0.245135i | ||||
\(708\) | −5.57601e44 | − | 8.94101e44i | −0.139891 | − | 0.224313i | ||||
\(709\) | 6.69395e44 | + | 1.15943e45i | 0.164189 | + | 0.284383i | 0.936367 | − | 0.351023i | \(-0.114166\pi\) |
−0.772178 | + | 0.635406i | \(0.780833\pi\) | |||||||
\(710\) | 3.57632e45 | + | 2.06479e45i | 0.857635 | + | 0.495156i | ||||
\(711\) | −7.21313e44 | − | 1.07347e45i | −0.169126 | − | 0.251696i | ||||
\(712\) | 3.34869e44 | + | 5.80011e44i | 0.0767707 | + | 0.132971i | ||||
\(713\) | 2.65619e45i | 0.595424i | ||||||||
\(714\) | 2.74867e45 | − | 3.76235e45i | 0.602492 | − | 0.824684i | ||||
\(715\) | 1.35912e45 | 0.291315 | ||||||||
\(716\) | 2.21198e45 | − | 1.27709e45i | 0.463632 | − | 0.267678i | ||||
\(717\) | 6.36123e45 | − | 2.16523e44i | 1.30387 | − | 0.0443811i | ||||
\(718\) | −2.27961e45 | + | 3.94840e45i | −0.456951 | + | 0.791462i | ||||
\(719\) | −3.71217e44 | + | 2.14322e44i | −0.0727722 | + | 0.0420150i | −0.535945 | − | 0.844253i | \(-0.680044\pi\) |
0.463172 | + | 0.886268i | \(0.346711\pi\) | |||||||
\(720\) | −2.45258e45 | − | 1.20156e45i | −0.470222 | − | 0.230370i | ||||
\(721\) | −1.08126e45 | + | 7.59704e45i | −0.202753 | + | 1.42456i | ||||
\(722\) | 4.22887e45i | 0.775584i | ||||||||
\(723\) | 2.37506e44 | + | 1.26553e44i | 0.0426051 | + | 0.0227018i | ||||
\(724\) | −5.93490e44 | + | 1.02796e45i | −0.104135 | + | 0.180367i | ||||
\(725\) | −6.19890e44 | − | 3.57894e44i | −0.106391 | − | 0.0614251i | ||||
\(726\) | 1.63496e45 | − | 3.06838e45i | 0.274486 | − | 0.515137i | ||||
\(727\) | −1.19010e46 | −1.95448 | −0.977241 | − | 0.212133i | \(-0.931959\pi\) | ||||
−0.977241 | + | 0.212133i | \(0.931959\pi\) | |||||||
\(728\) | 6.97071e44 | − | 8.88997e44i | 0.111989 | − | 0.142823i | ||||
\(729\) | −6.23056e45 | + | 1.28993e45i | −0.979234 | + | 0.202734i | ||||
\(730\) | 2.26418e45 | + | 3.92167e45i | 0.348133 | + | 0.602984i | ||||
\(731\) | −4.47692e45 | − | 2.58475e45i | −0.673444 | − | 0.388813i | ||||
\(732\) | −8.29883e43 | − | 2.43811e45i | −0.0122135 | − | 0.358819i | ||||
\(733\) | 4.05699e45 | + | 7.02692e45i | 0.584172 | + | 1.01182i | 0.994978 | + | 0.100093i | \(0.0319141\pi\) |
−0.410806 | + | 0.911723i | \(0.634753\pi\) | |||||||
\(734\) | − | 1.81194e46i | − | 2.55274i | ||||||
\(735\) | 3.81033e45 | − | 3.91125e45i | 0.525249 | − | 0.539160i | ||||
\(736\) | −1.36634e46 | −1.84295 | ||||||||
\(737\) | −8.89040e45 | + | 5.13288e45i | −1.17339 | + | 0.677456i | ||||
\(738\) | −9.80985e45 | − | 1.45992e46i | −1.26695 | − | 1.88550i | ||||
\(739\) | 4.24725e44 | − | 7.35646e44i | 0.0536781 | − | 0.0929732i | −0.837938 | − | 0.545766i | \(-0.816239\pi\) |
0.891616 | + | 0.452793i | \(0.149572\pi\) | |||||||
\(740\) | −6.86208e45 | + | 3.96183e45i | −0.848689 | + | 0.489991i | ||||
\(741\) | 2.41181e45 | − | 1.50411e45i | 0.291912 | − | 0.182049i | ||||
\(742\) | −7.68545e45 | − | 6.02624e45i | −0.910347 | − | 0.713812i | ||||
\(743\) | 1.24049e46i | 1.43805i | 0.694985 | + | 0.719025i | \(0.255411\pi\) | ||||
−0.694985 | + | 0.719025i | \(0.744589\pi\) | |||||||
\(744\) | −6.91077e44 | + | 1.29697e45i | −0.0784079 | + | 0.147151i | ||||
\(745\) | 2.05188e45 | − | 3.55395e45i | 0.227851 | − | 0.394649i | ||||
\(746\) | −1.39690e46 | − | 8.06502e45i | −1.51826 | − | 0.876565i | ||||
\(747\) | 7.63100e44 | + | 1.11966e46i | 0.0811805 | + | 1.19112i | ||||
\(748\) | 6.36563e45 | 0.662851 | ||||||||
\(749\) | 1.69407e46 | + | 2.41113e45i | 1.72672 | + | 0.245760i | ||||
\(750\) | −1.37470e46 | + | 8.57325e45i | −1.37160 | + | 0.855392i | ||||
\(751\) | 2.56333e45 | + | 4.43981e45i | 0.250360 | + | 0.433636i | 0.963625 | − | 0.267258i | \(-0.0861177\pi\) |
−0.713265 | + | 0.700895i | \(0.752784\pi\) | |||||||
\(752\) | −3.78155e45 | − | 2.18328e45i | −0.361564 | − | 0.208749i | ||||
\(753\) | 1.04200e46 | − | 3.54677e44i | 0.975324 | − | 0.0331981i | ||||
\(754\) | −1.14781e45 | − | 1.98807e45i | −0.105179 | − | 0.182175i | ||||
\(755\) | 1.55594e46i | 1.39586i | ||||||||
\(756\) | −6.59721e45 | − | 1.25403e46i | −0.579445 | − | 1.10143i | ||||
\(757\) | −8.29195e45 | −0.713054 | −0.356527 | − | 0.934285i | \(-0.616039\pi\) | ||||
−0.356527 | + | 0.934285i | \(0.616039\pi\) | |||||||
\(758\) | −6.81287e45 | + | 3.93341e45i | −0.573618 | + | 0.331179i | ||||
\(759\) | −4.21809e44 | − | 1.23923e46i | −0.0347734 | − | 1.02161i | ||||
\(760\) | −1.18637e45 | + | 2.05485e45i | −0.0957639 | + | 0.165868i | ||||
\(761\) | −1.33771e46 | + | 7.72329e45i | −1.05733 | + | 0.610447i | −0.924691 | − | 0.380718i | \(-0.875677\pi\) |
−0.132634 | + | 0.991165i | \(0.542344\pi\) | |||||||
\(762\) | −5.54778e45 | − | 8.89575e45i | −0.429378 | − | 0.688499i | ||||
\(763\) | −3.91087e45 | + | 1.57213e45i | −0.296402 | + | 0.119151i | ||||
\(764\) | 2.57519e46i | 1.91124i | ||||||||
\(765\) | −7.04378e45 | + | 4.80068e44i | −0.511944 | + | 0.0348915i | ||||
\(766\) | 1.46560e45 | − | 2.53850e45i | 0.104317 | − | 0.180682i | ||||
\(767\) | 1.30727e45 | + | 7.54752e44i | 0.0911254 | + | 0.0526113i | ||||
\(768\) | 4.52049e45 | + | 2.40870e45i | 0.308607 | + | 0.164439i | ||||
\(769\) | 9.92098e45 | 0.663335 | 0.331668 | − | 0.943396i | \(-0.392389\pi\) | ||||
0.331668 | + | 0.943396i | \(0.392389\pi\) | |||||||
\(770\) | 1.33198e46 | + | 1.89577e45i | 0.872259 | + | 0.124146i | ||||
\(771\) | −4.74565e45 | − | 7.60955e45i | −0.304387 | − | 0.488078i | ||||
\(772\) | 1.62043e46 | + | 2.80667e46i | 1.01802 | + | 1.76326i | ||||
\(773\) | 8.17088e45 | + | 4.71746e45i | 0.502802 | + | 0.290293i | 0.729870 | − | 0.683586i | \(-0.239581\pi\) |
−0.227068 | + | 0.973879i | \(0.572914\pi\) | |||||||
\(774\) | −2.35333e46 | + | 1.58131e46i | −1.41849 | + | 0.953151i | ||||
\(775\) | −1.67033e45 | − | 2.89309e45i | −0.0986221 | − | 0.170819i | ||||
\(776\) | − | 1.21492e46i | − | 0.702682i | ||||||
\(777\) | 1.83571e46 | + | 1.97829e45i | 1.04008 | + | 0.112086i | ||||
\(778\) | 1.49207e46 | 0.828160 | ||||||||
\(779\) | 1.67713e46 | − | 9.68294e45i | 0.911945 | − | 0.526512i | ||||
\(780\) | −8.70628e45 | + | 2.96344e44i | −0.463787 | + | 0.0157864i | ||||
\(781\) | 6.57306e45 | − | 1.13849e46i | 0.343045 | − | 0.594171i | ||||
\(782\) | −2.26325e46 | + | 1.30669e46i | −1.15724 | + | 0.668133i | ||||
\(783\) | −5.62846e45 | + | 5.76526e44i | −0.281969 | + | 0.0288822i | ||||
\(784\) | −1.02292e46 | + | 9.80921e45i | −0.502093 | + | 0.481479i | ||||
\(785\) | 1.71190e46i | 0.823310i | ||||||||
\(786\) | 3.29480e46 | + | 1.75560e46i | 1.55263 | + | 0.827306i | ||||
\(787\) | −9.82900e45 | + | 1.70243e46i | −0.453851 | + | 0.786094i | −0.998621 | − | 0.0524918i | \(-0.983284\pi\) |
0.544770 | + | 0.838586i | \(0.316617\pi\) | |||||||
\(788\) | 1.71778e46 | + | 9.91762e45i | 0.777228 | + | 0.448733i | ||||
\(789\) | −1.52714e46 | + | 2.86604e46i | −0.677092 | + | 1.27072i | ||||
\(790\) | −7.87073e45 | −0.341965 | ||||||||
\(791\) | 1.47382e46 | − | 1.87961e46i | 0.627510 | − | 0.800283i | ||||
\(792\) | 3.01822e45 | − | 6.16068e45i | 0.125936 | − | 0.257055i | ||||
\(793\) | 1.74736e45 | + | 3.02651e45i | 0.0714514 | + | 0.123757i | ||||
\(794\) | −1.47828e46 | − | 8.53483e45i | −0.592417 | − | 0.342032i | ||||
\(795\) | 5.03411e44 | + | 1.47897e46i | 0.0197719 | + | 0.580878i | ||||
\(796\) | −3.06820e46 | − | 5.31427e46i | −1.18107 | − | 2.04567i | ||||
\(797\) | − | 2.49406e46i | − | 0.940966i | −0.882409 | − | 0.470483i | \(-0.844080\pi\) | ||
0.882409 | − | 0.470483i | \(-0.155920\pi\) | |||||||
\(798\) | 2.57344e46 | − | 1.13766e46i | 0.951631 | − | 0.420694i | ||||
\(799\) | −1.12879e46 | −0.409134 | ||||||||
\(800\) | 1.48820e46 | − | 8.59213e45i | 0.528715 | − | 0.305254i | ||||
\(801\) | −9.98851e45 | + | 6.71174e45i | −0.347841 | + | 0.233730i | ||||
\(802\) | 3.09002e46 | − | 5.35208e46i | 1.05480 | − | 1.82698i | ||||
\(803\) | 1.24843e46 | − | 7.20780e45i | 0.417748 | − | 0.241187i | ||||
\(804\) | 5.58310e46 | − | 3.48187e46i | 1.83138 | − | 1.14213i | ||||
\(805\) | −2.84163e46 | + | 1.14231e46i | −0.913763 | + | 0.367324i | ||||
\(806\) | − | 1.07139e46i | − | 0.337744i | ||||||
\(807\) | 2.09873e46 | − | 3.93876e46i | 0.648605 | − | 1.21726i | ||||
\(808\) | −1.59742e45 | + | 2.76681e45i | −0.0483991 | + | 0.0838298i | ||||
\(809\) | −1.69647e46 | − | 9.79460e45i | −0.503931 | − | 0.290945i | 0.226404 | − | 0.974033i | \(-0.427303\pi\) |
−0.730335 | + | 0.683089i | \(0.760636\pi\) | |||||||
\(810\) | −1.46320e46 | + | 3.58509e46i | −0.426131 | + | 1.04409i | ||||
\(811\) | −2.32833e46 | −0.664829 | −0.332415 | − | 0.943133i | \(-0.607863\pi\) | ||||
−0.332415 | + | 0.943133i | \(0.607863\pi\) | |||||||
\(812\) | −4.69965e45 | − | 1.16909e46i | −0.131574 | − | 0.327305i | ||||
\(813\) | −3.40200e46 | + | 2.12164e46i | −0.933868 | + | 0.582401i | ||||
\(814\) | 2.27460e46 | + | 3.93972e46i | 0.612229 | + | 1.06041i | ||||
\(815\) | −1.54164e46 | − | 8.90067e45i | −0.406876 | − | 0.234910i | ||||
\(816\) | 1.83137e46 | − | 6.23361e44i | 0.473951 | − | 0.0161323i | ||||
\(817\) | −1.56085e46 | − | 2.70348e46i | −0.396104 | − | 0.686072i | ||||
\(818\) | − | 3.06685e46i | − | 0.763202i | ||||||
\(819\) | 1.67884e46 | + | 1.14100e46i | 0.409701 | + | 0.278447i | ||||
\(820\) | −5.93522e46 | −1.42042 | ||||||||
\(821\) | −3.39583e46 | + | 1.96058e46i | −0.796994 | + | 0.460145i | −0.842419 | − | 0.538823i | \(-0.818869\pi\) |
0.0454247 | + | 0.998968i | \(0.485536\pi\) | |||||||
\(822\) | −5.11903e44 | − | 1.50392e46i | −0.0117825 | − | 0.346158i | ||||
\(823\) | 3.89173e46 | − | 6.74068e46i | 0.878508 | − | 1.52162i | 0.0255289 | − | 0.999674i | \(-0.491873\pi\) |
0.852979 | − | 0.521946i | \(-0.174794\pi\) | |||||||
\(824\) | 2.06222e46 | − | 1.19062e46i | 0.456562 | − | 0.263596i | ||||
\(825\) | 8.25225e45 | + | 1.32323e46i | 0.179188 | + | 0.287324i | ||||
\(826\) | 1.17588e46 | + | 9.22022e45i | 0.250428 | + | 0.196363i | ||||
\(827\) | 3.26172e46i | 0.681332i | 0.940184 | + | 0.340666i | \(0.110652\pi\) | ||||
−0.940184 | + | 0.340666i | \(0.889348\pi\) | |||||||
\(828\) | 5.40405e45 | + | 7.92907e46i | 0.110722 | + | 1.62456i | ||||
\(829\) | 6.13618e45 | − | 1.06282e46i | 0.123318 | − | 0.213593i | −0.797756 | − | 0.602980i | \(-0.793980\pi\) |
0.921074 | + | 0.389387i | \(0.127313\pi\) | |||||||
\(830\) | 5.91475e46 | + | 3.41489e46i | 1.16597 | + | 0.673173i | ||||
\(831\) | 4.61151e46 | + | 2.45720e46i | 0.891716 | + | 0.475143i | ||||
\(832\) | 3.69450e46 | 0.700781 | ||||||||
\(833\) | −1.02218e46 | + | 3.51820e46i | −0.190198 | + | 0.654637i | ||||
\(834\) | 4.75917e46 | + | 7.63122e46i | 0.868709 | + | 1.39296i | ||||
\(835\) | −9.45660e45 | − | 1.63793e46i | −0.169337 | − | 0.293300i | ||||
\(836\) | 3.32901e46 | + | 1.92200e46i | 0.584810 | + | 0.337640i | ||||
\(837\) | −2.40946e46 | − | 1.08041e46i | −0.415253 | − | 0.186200i | ||||
\(838\) | −6.81337e46 | − | 1.18011e47i | −1.15201 | − | 1.99535i | ||||
\(839\) | − | 5.52393e46i | − | 0.916340i | −0.888865 | − | 0.458170i | \(-0.848505\pi\) | ||
0.888865 | − | 0.458170i | \(-0.151495\pi\) | |||||||
\(840\) | −1.68472e46 | − | 1.81557e45i | −0.274194 | − | 0.0295491i | ||||
\(841\) | 5.75921e46 | 0.919659 | ||||||||
\(842\) | 6.75923e46 | − | 3.90244e46i | 1.05902 | − | 0.611425i | ||||
\(843\) | 1.28256e47 | − | 4.36559e45i | 1.97169 | − | 0.0671122i | ||||
\(844\) | 9.77644e45 | − | 1.69333e46i | 0.147469 | − | 0.255424i | ||||
\(845\) | −3.32348e46 | + | 1.91881e46i | −0.491910 | + | 0.284004i | ||||
\(846\) | −2.72375e46 | + | 5.55960e46i | −0.395586 | + | 0.807454i | ||||
\(847\) | −3.85207e45 | + | 2.70649e46i | −0.0548984 | + | 0.385720i | ||||
\(848\) | − | 3.84083e46i | − | 0.537145i | ||||||
\(849\) | −1.05374e47 | − | 5.61474e46i | −1.44614 | − | 0.770560i | ||||
\(850\) | 1.64340e46 | − | 2.84646e46i | 0.221330 | − | 0.383356i | ||||
\(851\) | −8.96826e46 | − | 5.17782e46i | −1.18532 | − | 0.684344i | ||||
\(852\) | −3.96234e46 | + | 7.43625e46i | −0.513946 | + | 0.964540i | ||||
\(853\) | −4.97889e46 | −0.633794 | −0.316897 | − | 0.948460i | \(-0.602641\pi\) | ||||
−0.316897 | + | 0.948460i | \(0.602641\pi\) | |||||||
\(854\) | 1.29031e46 | + | 3.20980e46i | 0.161201 | + | 0.401007i | ||||
\(855\) | −3.82861e46 | − | 1.87570e46i | −0.469443 | − | 0.229988i | ||||
\(856\) | −2.65499e46 | − | 4.59858e46i | −0.319509 | − | 0.553405i | ||||
\(857\) | −1.11154e47 | − | 6.41750e46i | −1.31290 | − | 0.758006i | −0.330328 | − | 0.943866i | \(-0.607160\pi\) |
−0.982576 | + | 0.185860i | \(0.940493\pi\) | |||||||
\(858\) | 1.70139e45 | + | 4.99852e46i | 0.0197246 | + | 0.579488i | ||||
\(859\) | −7.59770e46 | − | 1.31596e47i | −0.864553 | − | 1.49745i | −0.867491 | − | 0.497454i | \(-0.834268\pi\) |
0.00293786 | − | 0.999996i | \(-0.499065\pi\) | |||||||
\(860\) | 9.56735e46i | 1.06860i | ||||||||
\(861\) | 1.11673e47 | + | 8.15850e46i | 1.22432 | + | 0.894458i | ||||
\(862\) | 5.76186e46 | 0.620078 | ||||||||
\(863\) | −1.08509e46 | + | 6.26475e45i | −0.114628 | + | 0.0661806i | −0.556218 | − | 0.831036i | \(-0.687748\pi\) |
0.441590 | + | 0.897217i | \(0.354415\pi\) | |||||||
\(864\) | 5.55759e46 | − | 1.23942e47i | 0.576324 | − | 1.28528i | ||||
\(865\) | −2.11720e46 | + | 3.66709e46i | −0.215528 | + | 0.373305i | ||||
\(866\) | −3.17898e46 | + | 1.83539e46i | −0.317689 | + | 0.183418i | ||||
\(867\) | −4.62958e46 | + | 2.88721e46i | −0.454189 | + | 0.283252i | ||||
\(868\) | 8.28624e45 | − | 5.82197e46i | 0.0798072 | − | 0.560730i | ||||
\(869\) | 2.50557e46i | 0.236914i | ||||||||
\(870\) | −1.61920e46 | + | 3.03880e46i | −0.150311 | + | 0.282094i | ||||
\(871\) | −4.71296e46 | + | 8.16308e46i | −0.429539 | + | 0.743984i | ||||
\(872\) | 1.13276e46 | + | 6.53999e45i | 0.101362 | + | 0.0585212i | ||||
\(873\) | 2.17794e47 | − | 1.48437e46i | 1.91345 | − | 0.130411i | ||||
\(874\) | −1.57814e47 | −1.36132 | ||||||||
\(875\) | 7.86044e46 | − | 1.00247e47i | 0.665760 | − | 0.849065i | ||||
\(876\) | −7.84002e46 | + | 4.88938e46i | −0.652006 | + | 0.406620i | ||||
\(877\) | 5.87119e46 | + | 1.01692e47i | 0.479438 | + | 0.830411i | 0.999722 | − | 0.0235822i | \(-0.00750715\pi\) |
−0.520284 | + | 0.853993i | \(0.674174\pi\) | |||||||
\(878\) | −1.50986e47 | − | 8.71717e46i | −1.21066 | − | 0.698977i | ||||
\(879\) | −4.48118e46 | + | 1.52530e45i | −0.352834 | + | 0.0120098i | ||||
\(880\) | 2.64554e46 | + | 4.58222e46i | 0.204547 | + | 0.354285i | ||||
\(881\) | − | 1.90341e47i | − | 1.44516i | −0.691285 | − | 0.722582i | \(-0.742955\pi\) | ||
0.691285 | − | 0.722582i | \(-0.257045\pi\) | |||||||
\(882\) | 1.48616e47 | + | 1.35238e47i | 1.10807 | + | 1.00833i | ||||
\(883\) | 2.94719e46 | 0.215793 | 0.107896 | − | 0.994162i | \(-0.465589\pi\) | ||||
0.107896 | + | 0.994162i | \(0.465589\pi\) | |||||||
\(884\) | 5.06179e46 | − | 2.92243e46i | 0.363972 | − | 0.210139i | ||||
\(885\) | −7.70225e44 | − | 2.26284e46i | −0.00543908 | − | 0.159794i | ||||
\(886\) | −1.21795e47 | + | 2.10956e47i | −0.844678 | + | 1.46302i | ||||
\(887\) | 2.47205e47 | − | 1.42724e47i | 1.68376 | − | 0.972118i | 0.724633 | − | 0.689135i | \(-0.242009\pi\) |
0.959125 | − | 0.282983i | \(-0.0913241\pi\) | |||||||
\(888\) | −3.03189e46 | − | 4.86156e46i | −0.202817 | − | 0.325213i | ||||
\(889\) | 6.48700e46 | + | 5.08652e46i | 0.426202 | + | 0.334189i | ||||
\(890\) | 7.32363e46i | 0.472592i | ||||||||
\(891\) | 1.14128e47 | + | 4.65796e46i | 0.723350 | + | 0.295224i | ||||
\(892\) | −7.77407e46 | + | 1.34651e47i | −0.483962 | + | 0.838246i | ||||
\(893\) | −5.90320e46 | − | 3.40821e46i | −0.360964 | − | 0.208403i | ||||
\(894\) | 1.33274e47 | + | 7.10139e46i | 0.800471 | + | 0.426524i | ||||
\(895\) | 5.48820e46 | 0.323788 | ||||||||
\(896\) | 1.21438e47 | + | 1.72839e46i | 0.703761 | + | 0.100164i | ||||
\(897\) | −6.02466e46 | − | 9.66041e46i | −0.342968 | − | 0.549941i | ||||
\(898\) | 6.78733e46 | + | 1.17560e47i | 0.379558 | + | 0.657413i | ||||
\(899\) | −2.03352e46 | − | 1.17406e46i | −0.111711 | − | 0.0644961i | ||||
\(900\) | −5.57475e46 | − | 8.29643e46i | −0.300847 | − | 0.447725i | ||||
\(901\) | −4.96444e46 | − | 8.59866e46i | −0.263192 | − | 0.455863i | ||||
\(902\) | 3.40758e47i | 1.77477i | ||||||||
\(903\) | 1.31512e47 | − | 1.80012e47i | 0.672917 | − | 0.921080i | ||||
\(904\) | −7.41202e46 | −0.372599 | ||||||||
\(905\) | −2.20878e46 | + | 1.27524e46i | −0.109088 | + | 0.0629817i | ||||
\(906\) | −5.72236e47 | + | 1.94778e46i | −2.77667 | + | 0.0945122i | ||||
\(907\) | 1.07264e47 | − | 1.85787e47i | 0.511372 | − | 0.885722i | −0.488541 | − | 0.872541i | \(-0.662471\pi\) |
0.999913 | − | 0.0131814i | \(-0.00419589\pi\) | |||||||
\(908\) | 2.00587e46 | − | 1.15809e46i | 0.0939570 | − | 0.0542461i | ||||
\(909\) | −5.15514e46 | − | 2.52559e46i | −0.237257 | − | 0.116236i | ||||
\(910\) | 1.14619e47 | − | 4.60758e46i | 0.518316 | − | 0.208358i | ||||
\(911\) | − | 2.03457e47i | − | 0.904022i | −0.892012 | − | 0.452011i | \(-0.850707\pi\) | ||
0.892012 | − | 0.452011i | \(-0.149293\pi\) | |||||||
\(912\) | 9.76565e46 | + | 5.20354e46i | 0.426367 | + | 0.227186i | ||||
\(913\) | 1.08710e47 | − | 1.88291e47i | 0.466376 | − | 0.807786i | ||||
\(914\) | 3.14440e47 | + | 1.81542e47i | 1.32556 | + | 0.765312i | ||||
\(915\) | 2.46497e46 | − | 4.62609e46i | 0.102111 | − | 0.191636i | ||||
\(916\) | −7.29090e46 | −0.296793 | ||||||||
\(917\) | −2.90621e47 | − | 4.13633e46i | −1.16257 | − | 0.165465i | ||||
\(918\) | −2.64733e46 | − | 2.58452e47i | −0.104070 | − | 1.01601i | ||||
\(919\) | −2.37597e47 | − | 4.11530e47i | −0.917894 | − | 1.58984i | −0.802608 | − | 0.596507i | \(-0.796555\pi\) |
−0.115287 | − | 0.993332i | \(-0.536779\pi\) | |||||||
\(920\) | 8.23061e46 | + | 4.75194e46i | 0.312483 | + | 0.180412i | ||||
\(921\) | 7.31071e45 | + | 2.14781e47i | 0.0272776 | + | 0.801386i | ||||
\(922\) | 2.16204e47 | + | 3.74477e47i | 0.792811 | + | 1.37319i | ||||
\(923\) | − | 1.20706e47i | − | 0.435014i | ||||||
\(924\) | −2.94136e46 | + | 2.72937e47i | −0.104183 | + | 0.966741i | ||||
\(925\) | 1.30242e47 | 0.453401 | ||||||||
\(926\) | −4.50635e47 | + | 2.60174e47i | −1.54187 | + | 0.890201i | ||||
\(927\) | 2.38635e47 | + | 3.55141e47i | 0.802525 | + | 1.19433i | ||||
\(928\) | 6.03932e46 | − | 1.04604e47i | 0.199627 | − | 0.345765i | ||||
\(929\) | −2.49865e47 | + | 1.44260e47i | −0.811810 | + | 0.468699i | −0.847584 | − | 0.530661i | \(-0.821944\pi\) |
0.0357740 | + | 0.999360i | \(0.488610\pi\) | |||||||
\(930\) | −1.36357e47 | + | 8.50384e46i | −0.435463 | + | 0.271574i | ||||
\(931\) | −1.59683e47 | + | 1.53127e47i | −0.501261 | + | 0.480681i | ||||
\(932\) | − | 2.02076e47i | − | 0.623535i | ||||||
\(933\) | 1.01511e47 | − | 1.90509e47i | 0.307899 | − | 0.577843i | ||||
\(934\) | −3.53914e47 | + | 6.12998e47i | −1.05523 | + | 1.82772i | ||||
\(935\) | 1.18454e47 | + | 6.83895e46i | 0.347188 | + | 0.200449i | ||||
\(936\) | −4.28318e45 | − | 6.28447e46i | −0.0123411 | − | 0.181074i | ||||
\(937\) | −1.82158e47 | −0.515957 | −0.257979 | − | 0.966151i | \(-0.583056\pi\) | ||||
−0.257979 | + | 0.966151i | \(0.583056\pi\) | |||||||
\(938\) | −5.75745e47 | + | 7.34266e47i | −1.60319 | + | 2.04460i | ||||
\(939\) | −2.56859e47 | + | 1.60189e47i | −0.703146 | + | 0.438513i | ||||
\(940\) | 1.04454e47 | + | 1.80920e47i | 0.281113 | + | 0.486902i | ||||
\(941\) | 1.07752e47 | + | 6.22109e46i | 0.285097 | + | 0.164601i | 0.635729 | − | 0.771912i | \(-0.280700\pi\) |
−0.350631 | + | 0.936514i | \(0.614033\pi\) | |||||||
\(942\) | −6.29594e47 | + | 2.14301e46i | −1.63774 | + | 0.0557455i | ||||
\(943\) | −3.87846e47 | − | 6.71769e47i | −0.991910 | − | 1.71804i | ||||
\(944\) | 5.87652e46i | 0.147764i | ||||||||
\(945\) | 1.19634e46 | − | 3.04232e47i | 0.0295765 | − | 0.752134i | ||||
\(946\) | 5.49289e47 | 1.33519 | ||||||||
\(947\) | −2.12023e47 | + | 1.22411e47i | −0.506738 | + | 0.292565i | −0.731492 | − | 0.681850i | \(-0.761175\pi\) |
0.224754 | + | 0.974416i | \(0.427842\pi\) | |||||||
\(948\) | −5.46317e45 | − | 1.60502e47i | −0.0128384 | − | 0.377179i | ||||
\(949\) | 6.61813e46 | − | 1.14629e47i | 0.152924 | − | 0.264872i | ||||
\(950\) | 1.71889e47 | − | 9.92400e46i | 0.390544 | − | 0.225481i | ||||
\(951\) | −1.50479e47 | − | 2.41290e47i | −0.336192 | − | 0.539076i | ||||
\(952\) | 1.05486e47 | − | 4.24045e46i | 0.231742 | − | 0.0931582i | ||||
\(953\) | − | 2.26887e47i | − | 0.490143i | −0.969505 | − | 0.245072i | \(-0.921188\pi\) | ||
0.969505 | − | 0.245072i | \(-0.0788115\pi\) | |||||||
\(954\) | −5.43298e47 | + | 3.70284e46i | −1.15415 | + | 0.0786613i | ||||
\(955\) | −2.76667e47 | + | 4.79201e47i | −0.577967 | + | 1.00107i | ||||
\(956\) | 6.84472e47 | + | 3.95180e47i | 1.40614 | + | 0.811837i | ||||
\(957\) | 9.67374e46 | + | 5.15457e46i | 0.195436 | + | 0.104136i | ||||
\(958\) | 1.34627e47 | 0.267475 | ||||||||
\(959\) | 4.41313e46 | + | 1.09782e47i | 0.0862282 | + | 0.214503i | ||||
\(960\) | −2.93240e47 | − | 4.70203e47i | −0.563486 | − | 0.903537i | ||||
\(961\) | 2.09778e47 | + | 3.63346e47i | 0.396447 | + | 0.686667i | ||||
\(962\) | 3.61741e47 | + | 2.08851e47i | 0.672351 | + | 0.388182i | ||||
\(963\) | 7.91933e47 | − | 5.32136e47i | 1.44766 | − | 0.972751i | ||||
\(964\) | 1.67088e46 | + | 2.89406e46i | 0.0300410 | + | 0.0520325i | ||||
\(965\) | 6.96369e47i | 1.23141i | ||||||||
\(966\) | −4.55685e47 | − | 1.03078e48i | −0.792557 | − | 1.79280i | ||||
\(967\) | 8.30126e47 | 1.42011 | 0.710053 | − | 0.704149i | \(-0.248671\pi\) | ||||
0.710053 | + | 0.704149i | \(0.248671\pi\) | |||||||
\(968\) | 7.34679e46 | − | 4.24167e46i | 0.123621 | − | 0.0713726i | ||||
\(969\) | 2.85886e47 | − | 9.73099e45i | 0.473165 | − | 0.0161056i | ||||
\(970\) | 6.64259e47 | − | 1.15053e48i | 1.08141 | − | 1.87306i | ||||
\(971\) | −3.91287e47 | + | 2.25910e47i | −0.626596 | + | 0.361766i | −0.779433 | − | 0.626486i | \(-0.784493\pi\) |
0.152836 | + | 0.988251i | \(0.451159\pi\) | |||||||
\(972\) | −7.41237e47 | − | 2.73495e47i | −1.16761 | − | 0.430813i | ||||
\(973\) | −5.56487e47 | − | 4.36347e47i | −0.862283 | − | 0.676125i | ||||
\(974\) | − | 1.37104e48i | − | 2.08982i | ||||||
\(975\) | 1.26369e47 | + | 6.73345e46i | 0.189481 | + | 0.100963i | ||||
\(976\) | −6.80249e46 | + | 1.17823e47i | −0.100339 | + | 0.173793i | ||||
\(977\) | −4.60418e46 | − | 2.65823e46i | −0.0668097 | − | 0.0385726i | 0.466223 | − | 0.884667i | \(-0.345614\pi\) |
−0.533033 | + | 0.846095i | \(0.678948\pi\) | |||||||
\(978\) | 3.08046e47 | − | 5.78119e47i | 0.439738 | − | 0.825270i | ||||
\(979\) | 2.33141e47 | 0.327413 | ||||||||
\(980\) | 6.58478e47 | − | 1.61729e47i | 0.909755 | − | 0.223446i | ||||
\(981\) | −1.03400e47 | + | 2.11056e47i | −0.140546 | + | 0.286876i | ||||
\(982\) | 6.35170e47 | + | 1.10015e48i | 0.849388 | + | 1.47118i | ||||
\(983\) | 4.52529e47 | + | 2.61268e47i | 0.595374 | + | 0.343739i | 0.767220 | − | 0.641384i | \(-0.221640\pi\) |
−0.171845 | + | 0.985124i | \(0.554973\pi\) | |||||||
\(984\) | −1.45996e46 | − | 4.28921e47i | −0.0188981 | − | 0.555207i | ||||
\(985\) | 2.13101e47 | + | 3.69102e47i | 0.271398 | + | 0.470074i | ||||
\(986\) | − | 2.31026e47i | − | 0.289488i | ||||||
\(987\) | 5.21580e46 | − | 4.83988e47i | 0.0643053 | − | 0.596705i | ||||
\(988\) | 3.52953e47 | 0.428160 | ||||||||
\(989\) | −1.08287e48 | + | 6.25193e47i | −1.29251 | + | 0.746231i | ||||
\(990\) | 6.22663e47 | − | 4.18396e47i | 0.731291 | − | 0.491388i | ||||
\(991\) | −5.72485e47 | + | 9.91573e47i | −0.661585 | + | 1.14590i | 0.318614 | + | 0.947885i | \(0.396783\pi\) |
−0.980199 | + | 0.198015i | \(0.936551\pi\) | |||||||
\(992\) | 4.88198e47 | − | 2.81861e47i | 0.555148 | − | 0.320515i | ||||
\(993\) | 3.28756e47 | − | 2.05026e47i | 0.367862 | − | 0.229415i | ||||
\(994\) | 1.68367e47 | − | 1.18296e48i | 0.185385 | − | 1.30253i | ||||
\(995\) | − | 1.31853e48i | − | 1.42864i | ||||||
\(996\) | −6.55318e47 | + | 1.22986e48i | −0.698719 | + | 1.31131i | ||||
\(997\) | −9.06194e47 | + | 1.56957e48i | −0.950821 | + | 1.64687i | −0.207168 | + | 0.978305i | \(0.566425\pi\) |
−0.743654 | + | 0.668565i | \(0.766909\pi\) | |||||||
\(998\) | 1.31500e48 | + | 7.59215e47i | 1.35780 | + | 0.783928i | ||||
\(999\) | 8.34472e47 | − | 6.02914e47i | 0.847938 | − | 0.612643i |
(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 | 21.33.h.b.11.13 | yes | 164 | |
3.2 | odd | 2 | inner | 21.33.h.b.11.70 | yes | 164 | |
7.2 | even | 3 | inner | 21.33.h.b.2.70 | yes | 164 | |
21.2 | odd | 6 | inner | 21.33.h.b.2.13 | ✓ | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.33.h.b.2.13 | ✓ | 164 | 21.2 | odd | 6 | inner | |
21.33.h.b.2.70 | yes | 164 | 7.2 | even | 3 | inner | |
21.33.h.b.11.13 | yes | 164 | 1.1 | even | 1 | trivial | |
21.33.h.b.11.70 | yes | 164 | 3.2 | odd | 2 | inner |