Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,12,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.7568045278\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 101803 x^{6} + 6576400 x^{5} + 8539617914 x^{4} + 333205096780 x^{3} + 195840371083183 x^{2} + \cdots + 33\!\cdots\!81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.4 | ||
Root | \(-115.837 + 200.636i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.12.c.a.11.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −16.0000 | + | 27.7128i | −0.353553 | + | 0.612372i | ||||
\(3\) | 265.175 | + | 459.296i | 0.630036 | + | 1.09125i | 0.987544 | + | 0.157344i | \(0.0502931\pi\) |
−0.357508 | + | 0.933910i | \(0.616374\pi\) | |||||||
\(4\) | −512.000 | − | 886.810i | −0.250000 | − | 0.433013i | ||||
\(5\) | 6622.39 | − | 11470.3i | 0.947720 | − | 1.64150i | 0.197507 | − | 0.980301i | \(-0.436715\pi\) |
0.750212 | − | 0.661197i | \(-0.229951\pi\) | |||||||
\(6\) | −16971.2 | −0.891005 | ||||||||
\(7\) | 4344.64 | − | 44254.4i | 0.0977044 | − | 0.995215i | ||||
\(8\) | 32768.0 | 0.353553 | ||||||||
\(9\) | −52061.7 | + | 90173.6i | −0.293890 | + | 0.509032i | ||||
\(10\) | 211917. | + | 367050.i | 0.670139 | + | 1.16071i | ||||
\(11\) | −268422. | − | 464921.i | −0.502526 | − | 0.870400i | −0.999996 | − | 0.00291915i | \(-0.999071\pi\) |
0.497470 | − | 0.867481i | \(-0.334263\pi\) | |||||||
\(12\) | 271539. | − | 470319.i | 0.315018 | − | 0.545627i | ||||
\(13\) | 1.10710e6 | 0.826983 | 0.413492 | − | 0.910508i | \(-0.364309\pi\) | ||||
0.413492 | + | 0.910508i | \(0.364309\pi\) | |||||||
\(14\) | 1.15690e6 | + | 828472.i | 0.574899 | + | 0.411693i | ||||
\(15\) | 7.02436e6 | 2.38839 | ||||||||
\(16\) | −524288. | + | 908093.i | −0.125000 | + | 0.216506i | ||||
\(17\) | 458258. | + | 793726.i | 0.0782782 | + | 0.135582i | 0.902507 | − | 0.430675i | \(-0.141724\pi\) |
−0.824229 | + | 0.566257i | \(0.808391\pi\) | |||||||
\(18\) | −1.66598e6 | − | 2.88555e6i | −0.207812 | − | 0.359940i | ||||
\(19\) | −1.86283e6 | + | 3.22652e6i | −0.172595 | + | 0.298944i | −0.939326 | − | 0.343025i | \(-0.888549\pi\) |
0.766731 | + | 0.641968i | \(0.221882\pi\) | |||||||
\(20\) | −1.35627e7 | −0.947720 | ||||||||
\(21\) | 2.14780e7 | − | 9.73967e6i | 1.14759 | − | 0.520401i | ||||
\(22\) | 1.71790e7 | 0.710679 | ||||||||
\(23\) | −1.12882e7 | + | 1.95517e7i | −0.365697 | + | 0.633406i | −0.988888 | − | 0.148664i | \(-0.952503\pi\) |
0.623190 | + | 0.782070i | \(0.285836\pi\) | |||||||
\(24\) | 8.68924e6 | + | 1.50502e7i | 0.222751 | + | 0.385816i | ||||
\(25\) | −6.32981e7 | − | 1.09636e8i | −1.29635 | − | 2.24534i | ||||
\(26\) | −1.77135e7 | + | 3.06807e7i | −0.292383 | + | 0.506422i | ||||
\(27\) | 3.87280e7 | 0.519427 | ||||||||
\(28\) | −4.14697e7 | + | 1.88054e7i | −0.455367 | + | 0.206497i | ||||
\(29\) | −1.08153e8 | −0.979153 | −0.489576 | − | 0.871960i | \(-0.662849\pi\) | ||||
−0.489576 | + | 0.871960i | \(0.662849\pi\) | |||||||
\(30\) | −1.12390e8 | + | 1.94665e8i | −0.844423 | + | 1.46258i | ||||
\(31\) | 1.25691e8 | + | 2.17703e8i | 0.788522 | + | 1.36576i | 0.926872 | + | 0.375377i | \(0.122487\pi\) |
−0.138350 | + | 0.990383i | \(0.544180\pi\) | |||||||
\(32\) | −1.67772e7 | − | 2.90590e7i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.42357e8 | − | 2.46570e8i | 0.633219 | − | 1.09677i | ||||
\(34\) | −2.93285e7 | −0.110702 | ||||||||
\(35\) | −4.78840e8 | − | 3.42904e8i | −1.54105 | − | 1.10357i | ||||
\(36\) | 1.06622e8 | 0.293890 | ||||||||
\(37\) | 2.01780e8 | − | 3.49493e8i | 0.478375 | − | 0.828569i | −0.521318 | − | 0.853363i | \(-0.674559\pi\) |
0.999693 | + | 0.0247933i | \(0.00789275\pi\) | |||||||
\(38\) | −5.96106e7 | − | 1.03249e8i | −0.122043 | − | 0.211385i | ||||
\(39\) | 2.93574e8 | + | 5.08485e8i | 0.521029 | + | 0.902449i | ||||
\(40\) | 2.17003e8 | − | 3.75859e8i | 0.335069 | − | 0.580357i | ||||
\(41\) | 1.26266e9 | 1.70206 | 0.851030 | − | 0.525118i | \(-0.175979\pi\) | ||||
0.851030 | + | 0.525118i | \(0.175979\pi\) | |||||||
\(42\) | −7.37336e7 | + | 7.51049e8i | −0.0870551 | + | 0.886742i | ||||
\(43\) | −1.92415e8 | −0.199601 | −0.0998004 | − | 0.995007i | \(-0.531820\pi\) | ||||
−0.0998004 | + | 0.995007i | \(0.531820\pi\) | |||||||
\(44\) | −2.74864e8 | + | 4.76079e8i | −0.251263 | + | 0.435200i | ||||
\(45\) | 6.89546e8 | + | 1.19433e9i | 0.557051 | + | 0.964840i | ||||
\(46\) | −3.61223e8 | − | 6.25656e8i | −0.258587 | − | 0.447886i | ||||
\(47\) | 5.04901e8 | − | 8.74515e8i | 0.321121 | − | 0.556197i | −0.659599 | − | 0.751618i | \(-0.729274\pi\) |
0.980720 | + | 0.195420i | \(0.0626071\pi\) | |||||||
\(48\) | −5.56112e8 | −0.315018 | ||||||||
\(49\) | −1.93958e9 | − | 3.84538e8i | −0.980908 | − | 0.194474i | ||||
\(50\) | 4.05108e9 | 1.83331 | ||||||||
\(51\) | −2.43037e8 | + | 4.20952e8i | −0.0986362 | + | 0.170843i | ||||
\(52\) | −5.66833e8 | − | 9.81783e8i | −0.206746 | − | 0.358094i | ||||
\(53\) | −2.26218e8 | − | 3.91821e8i | −0.0743036 | − | 0.128698i | 0.826480 | − | 0.562967i | \(-0.190340\pi\) |
−0.900783 | + | 0.434269i | \(0.857007\pi\) | |||||||
\(54\) | −6.19648e8 | + | 1.07326e9i | −0.183645 | + | 0.318083i | ||||
\(55\) | −7.11039e9 | −1.90501 | ||||||||
\(56\) | 1.42365e8 | − | 1.45013e9i | 0.0345437 | − | 0.351862i | ||||
\(57\) | −1.97590e9 | −0.434964 | ||||||||
\(58\) | 1.73045e9 | − | 2.99723e9i | 0.346183 | − | 0.599606i | ||||
\(59\) | 1.81367e9 | + | 3.14138e9i | 0.330273 | + | 0.572050i | 0.982565 | − | 0.185918i | \(-0.0595258\pi\) |
−0.652292 | + | 0.757968i | \(0.726192\pi\) | |||||||
\(60\) | −3.59647e9 | − | 6.22928e9i | −0.597097 | − | 1.03420i | ||||
\(61\) | −4.93848e9 | + | 8.55370e9i | −0.748651 | + | 1.29670i | 0.199818 | + | 0.979833i | \(0.435965\pi\) |
−0.948469 | + | 0.316869i | \(0.897369\pi\) | |||||||
\(62\) | −8.04420e9 | −1.11514 | ||||||||
\(63\) | 3.76439e9 | + | 2.69573e9i | 0.477883 | + | 0.342219i | ||||
\(64\) | 1.07374e9 | 0.125000 | ||||||||
\(65\) | 7.33162e9 | − | 1.26987e10i | 0.783748 | − | 1.35749i | ||||
\(66\) | 4.55544e9 | + | 7.89025e9i | 0.447753 | + | 0.775531i | ||||
\(67\) | 9.55058e9 | + | 1.65421e10i | 0.864208 | + | 1.49685i | 0.867831 | + | 0.496859i | \(0.165513\pi\) |
−0.00362356 | + | 0.999993i | \(0.501153\pi\) | |||||||
\(68\) | 4.69256e8 | − | 8.12776e8i | 0.0391391 | − | 0.0677909i | ||||
\(69\) | −1.19734e10 | −0.921609 | ||||||||
\(70\) | 1.71643e10 | − | 7.78354e9i | 1.22064 | − | 0.553526i | ||||
\(71\) | 5.71008e9 | 0.375596 | 0.187798 | − | 0.982208i | \(-0.439865\pi\) | ||||
0.187798 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(72\) | −1.70596e9 | + | 2.95481e9i | −0.103906 | + | 0.179970i | ||||
\(73\) | −4.81805e9 | − | 8.34511e9i | −0.272017 | − | 0.471147i | 0.697361 | − | 0.716720i | \(-0.254357\pi\) |
−0.969378 | + | 0.245573i | \(0.921024\pi\) | |||||||
\(74\) | 6.45695e9 | + | 1.11838e10i | 0.338262 | + | 0.585887i | ||||
\(75\) | 3.35701e10 | − | 5.81451e10i | 1.63349 | − | 2.82928i | ||||
\(76\) | 3.81508e9 | 0.172595 | ||||||||
\(77\) | −2.17410e10 | + | 9.85894e9i | −0.915335 | + | 0.415080i | ||||
\(78\) | −1.87887e10 | −0.736846 | ||||||||
\(79\) | −7.83278e9 | + | 1.35668e10i | −0.286396 | + | 0.496053i | −0.972947 | − | 0.231029i | \(-0.925791\pi\) |
0.686551 | + | 0.727082i | \(0.259124\pi\) | |||||||
\(80\) | 6.94408e9 | + | 1.20275e10i | 0.236930 | + | 0.410375i | ||||
\(81\) | 1.94923e10 | + | 3.37616e10i | 0.621147 | + | 1.07586i | ||||
\(82\) | −2.02025e10 | + | 3.49918e10i | −0.601769 | + | 1.04229i | ||||
\(83\) | 1.10230e10 | 0.307164 | 0.153582 | − | 0.988136i | \(-0.450919\pi\) | ||||
0.153582 | + | 0.988136i | \(0.450919\pi\) | |||||||
\(84\) | −1.96339e10 | − | 1.40602e10i | −0.512238 | − | 0.366821i | ||||
\(85\) | 1.21391e10 | 0.296743 | ||||||||
\(86\) | 3.07864e9 | − | 5.33236e9i | 0.0705695 | − | 0.122230i | ||||
\(87\) | −2.86795e10 | − | 4.96743e10i | −0.616901 | − | 1.06850i | ||||
\(88\) | −8.79565e9 | − | 1.52345e10i | −0.177670 | − | 0.307733i | ||||
\(89\) | 2.43330e10 | − | 4.21460e10i | 0.461903 | − | 0.800039i | −0.537153 | − | 0.843485i | \(-0.680500\pi\) |
0.999056 | + | 0.0434461i | \(0.0138337\pi\) | |||||||
\(90\) | −4.41310e10 | −0.787789 | ||||||||
\(91\) | 4.80993e9 | − | 4.89938e10i | 0.0807999 | − | 0.823027i | ||||
\(92\) | 2.31182e10 | 0.365697 | ||||||||
\(93\) | −6.66600e10 | + | 1.15458e11i | −0.993594 | + | 1.72096i | ||||
\(94\) | 1.61568e10 | + | 2.79845e10i | 0.227067 | + | 0.393291i | ||||
\(95\) | 2.46728e10 | + | 4.27345e10i | 0.327144 | + | 0.566629i | ||||
\(96\) | 8.89779e9 | − | 1.54114e10i | 0.111376 | − | 0.192908i | ||||
\(97\) | −1.33855e11 | −1.58267 | −0.791337 | − | 0.611381i | \(-0.790614\pi\) | ||||
−0.791337 | + | 0.611381i | \(0.790614\pi\) | |||||||
\(98\) | 4.16898e10 | − | 4.75985e10i | 0.465894 | − | 0.531924i | ||||
\(99\) | 5.58981e10 | 0.590749 | ||||||||
\(100\) | −6.48173e10 | + | 1.12267e11i | −0.648173 | + | 1.12267i | ||||
\(101\) | 1.26243e10 | + | 2.18660e10i | 0.119520 | + | 0.207015i | 0.919578 | − | 0.392908i | \(-0.128531\pi\) |
−0.800057 | + | 0.599923i | \(0.795198\pi\) | |||||||
\(102\) | −7.77718e9 | − | 1.34705e10i | −0.0697463 | − | 0.120804i | ||||
\(103\) | −4.30703e10 | + | 7.46000e10i | −0.366078 | + | 0.634065i | −0.988949 | − | 0.148259i | \(-0.952633\pi\) |
0.622871 | + | 0.782325i | \(0.285966\pi\) | |||||||
\(104\) | 3.62773e10 | 0.292383 | ||||||||
\(105\) | 3.05183e10 | − | 3.10859e11i | 0.233356 | − | 2.37696i | ||||
\(106\) | 1.44779e10 | 0.105081 | ||||||||
\(107\) | −3.55150e10 | + | 6.15138e10i | −0.244794 | + | 0.423996i | −0.962074 | − | 0.272789i | \(-0.912054\pi\) |
0.717279 | + | 0.696786i | \(0.245387\pi\) | |||||||
\(108\) | −1.98287e10 | − | 3.43444e10i | −0.129857 | − | 0.224918i | ||||
\(109\) | −2.35307e9 | − | 4.07563e9i | −0.0146483 | − | 0.0253717i | 0.858608 | − | 0.512632i | \(-0.171330\pi\) |
−0.873257 | + | 0.487261i | \(0.837996\pi\) | |||||||
\(110\) | 1.13766e11 | − | 1.97049e11i | 0.673524 | − | 1.16658i | ||||
\(111\) | 2.14028e11 | 1.20557 | ||||||||
\(112\) | 3.79093e10 | + | 2.71474e10i | 0.203257 | + | 0.145556i | ||||
\(113\) | 6.91660e10 | 0.353152 | 0.176576 | − | 0.984287i | \(-0.443498\pi\) | ||||
0.176576 | + | 0.984287i | \(0.443498\pi\) | |||||||
\(114\) | 3.16144e10 | − | 5.47578e10i | 0.153783 | − | 0.266360i | ||||
\(115\) | 1.49510e11 | + | 2.58959e11i | 0.693157 | + | 1.20058i | ||||
\(116\) | 5.53745e10 | + | 9.59114e10i | 0.244788 | + | 0.423986i | ||||
\(117\) | −5.76373e10 | + | 9.98308e10i | −0.243042 | + | 0.420961i | ||||
\(118\) | −1.16075e11 | −0.467077 | ||||||||
\(119\) | 3.71168e10 | − | 1.68315e10i | 0.142581 | − | 0.0646568i | ||||
\(120\) | 2.30174e11 | 0.844423 | ||||||||
\(121\) | −1.44500e9 | + | 2.50280e9i | −0.00506462 | + | 0.00877218i | ||||
\(122\) | −1.58031e11 | − | 2.73718e11i | −0.529376 | − | 0.916907i | ||||
\(123\) | 3.34825e11 | + | 5.79934e11i | 1.07236 | + | 1.85738i | ||||
\(124\) | 1.28707e11 | − | 2.22928e11i | 0.394261 | − | 0.682880i | ||||
\(125\) | −1.03002e12 | −3.01885 | ||||||||
\(126\) | −1.34936e11 | + | 6.11900e10i | −0.378522 | + | 0.171650i | ||||
\(127\) | −2.82652e11 | −0.759157 | −0.379578 | − | 0.925160i | \(-0.623931\pi\) | ||||
−0.379578 | + | 0.925160i | \(0.623931\pi\) | |||||||
\(128\) | −1.71799e10 | + | 2.97564e10i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −5.10236e10 | − | 8.83754e10i | −0.125756 | − | 0.217815i | ||||
\(130\) | 2.34612e11 | + | 4.06360e11i | 0.554194 | + | 0.959892i | ||||
\(131\) | 3.65290e11 | − | 6.32701e11i | 0.827267 | − | 1.43287i | −0.0729079 | − | 0.997339i | \(-0.523228\pi\) |
0.900175 | − | 0.435529i | \(-0.143439\pi\) | |||||||
\(132\) | −2.91548e11 | −0.633219 | ||||||||
\(133\) | 1.34694e11 | + | 9.64565e10i | 0.280650 | + | 0.200977i | ||||
\(134\) | −6.11237e11 | −1.22217 | ||||||||
\(135\) | 2.56472e11 | − | 4.44222e11i | 0.492271 | − | 0.852638i | ||||
\(136\) | 1.50162e10 | + | 2.60088e10i | 0.0276755 | + | 0.0479354i | ||||
\(137\) | −2.04365e11 | − | 3.53970e11i | −0.361779 | − | 0.626619i | 0.626475 | − | 0.779442i | \(-0.284497\pi\) |
−0.988254 | + | 0.152822i | \(0.951164\pi\) | |||||||
\(138\) | 1.91574e11 | − | 3.31816e11i | 0.325838 | − | 0.564368i | ||||
\(139\) | −3.27567e11 | −0.535450 | −0.267725 | − | 0.963495i | \(-0.586272\pi\) | ||||
−0.267725 | + | 0.963495i | \(0.586272\pi\) | |||||||
\(140\) | −5.89248e10 | + | 6.00207e11i | −0.0925964 | + | 0.943185i | ||||
\(141\) | 5.35548e11 | 0.809270 | ||||||||
\(142\) | −9.13612e10 | + | 1.58242e11i | −0.132793 | + | 0.230005i | ||||
\(143\) | −2.97169e11 | − | 5.14712e11i | −0.415581 | − | 0.719807i | ||||
\(144\) | −5.45907e10 | − | 9.45538e10i | −0.0734725 | − | 0.127258i | ||||
\(145\) | −7.16233e11 | + | 1.24055e12i | −0.927962 | + | 1.60728i | ||||
\(146\) | 3.08355e11 | 0.384690 | ||||||||
\(147\) | −3.37709e11 | − | 9.92809e11i | −0.405786 | − | 1.19294i | ||||
\(148\) | −4.13245e11 | −0.478375 | ||||||||
\(149\) | 6.34371e9 | − | 1.09876e10i | 0.00707650 | − | 0.0122569i | −0.862465 | − | 0.506116i | \(-0.831081\pi\) |
0.869542 | + | 0.493859i | \(0.164414\pi\) | |||||||
\(150\) | 1.07424e12 | + | 1.86064e12i | 1.15505 | + | 2.00061i | ||||
\(151\) | 2.64247e11 | + | 4.57689e11i | 0.273928 | + | 0.474458i | 0.969864 | − | 0.243646i | \(-0.0783435\pi\) |
−0.695936 | + | 0.718104i | \(0.745010\pi\) | |||||||
\(152\) | −6.10412e10 | + | 1.05727e11i | −0.0610216 | + | 0.105693i | ||||
\(153\) | −9.54308e10 | −0.0920208 | ||||||||
\(154\) | 7.46366e10 | − | 7.60247e11i | 0.0694365 | − | 0.707279i | ||||
\(155\) | 3.32949e12 | 2.98919 | ||||||||
\(156\) | 3.00620e11 | − | 5.20688e11i | 0.260514 | − | 0.451224i | ||||
\(157\) | 5.36413e11 | + | 9.29095e11i | 0.448798 | + | 0.777342i | 0.998308 | − | 0.0581457i | \(-0.0185188\pi\) |
−0.549510 | + | 0.835487i | \(0.685185\pi\) | |||||||
\(158\) | −2.50649e11 | − | 4.34137e11i | −0.202513 | − | 0.350762i | ||||
\(159\) | 1.19975e11 | − | 2.07802e11i | 0.0936278 | − | 0.162168i | ||||
\(160\) | −4.44421e11 | −0.335069 | ||||||||
\(161\) | 8.16207e11 | + | 5.84498e11i | 0.594646 | + | 0.425834i | ||||
\(162\) | −1.24750e12 | −0.878435 | ||||||||
\(163\) | 2.60469e11 | − | 4.51145e11i | 0.177306 | − | 0.307103i | −0.763651 | − | 0.645629i | \(-0.776595\pi\) |
0.940957 | + | 0.338526i | \(0.109928\pi\) | |||||||
\(164\) | −6.46481e11 | − | 1.11974e12i | −0.425515 | − | 0.737013i | ||||
\(165\) | −1.88549e12 | − | 3.26577e12i | −1.20023 | − | 2.07885i | ||||
\(166\) | −1.76368e11 | + | 3.05479e11i | −0.108599 | + | 0.188099i | ||||
\(167\) | 1.74459e12 | 1.03933 | 0.519663 | − | 0.854371i | \(-0.326058\pi\) | ||||
0.519663 | + | 0.854371i | \(0.326058\pi\) | |||||||
\(168\) | 7.03790e11 | − | 3.19149e11i | 0.405734 | − | 0.183990i | ||||
\(169\) | −5.66500e11 | −0.316099 | ||||||||
\(170\) | −1.94225e11 | + | 3.36407e11i | −0.104915 | + | 0.181717i | ||||
\(171\) | −1.93964e11 | − | 3.35956e11i | −0.101448 | − | 0.175713i | ||||
\(172\) | 9.85165e10 | + | 1.70636e11i | 0.0499002 | + | 0.0864297i | ||||
\(173\) | −7.24388e11 | + | 1.25468e12i | −0.355400 | + | 0.615571i | −0.987186 | − | 0.159571i | \(-0.948989\pi\) |
0.631786 | + | 0.775143i | \(0.282322\pi\) | |||||||
\(174\) | 1.83549e12 | 0.872430 | ||||||||
\(175\) | −5.12686e12 | + | 2.32489e12i | −2.36125 | + | 1.07076i | ||||
\(176\) | 5.62922e11 | 0.251263 | ||||||||
\(177\) | −9.61881e11 | + | 1.66603e12i | −0.416168 | + | 0.720824i | ||||
\(178\) | 7.78655e11 | + | 1.34867e12i | 0.326614 | + | 0.565713i | ||||
\(179\) | 1.29817e12 | + | 2.24849e12i | 0.528007 | + | 0.914534i | 0.999467 | + | 0.0326470i | \(0.0103937\pi\) |
−0.471460 | + | 0.881887i | \(0.656273\pi\) | |||||||
\(180\) | 7.06095e11 | − | 1.22299e12i | 0.278525 | − | 0.482420i | ||||
\(181\) | 2.25762e12 | 0.863810 | 0.431905 | − | 0.901919i | \(-0.357842\pi\) | ||||
0.431905 | + | 0.901919i | \(0.357842\pi\) | |||||||
\(182\) | 1.28080e12 | + | 9.17198e11i | 0.475432 | + | 0.340463i | ||||
\(183\) | −5.23824e12 | −1.88671 | ||||||||
\(184\) | −3.69892e11 | + | 6.40672e11i | −0.129294 | + | 0.223943i | ||||
\(185\) | −2.67253e12 | − | 4.62896e12i | −0.906730 | − | 1.57050i | ||||
\(186\) | −2.13312e12 | − | 3.69467e12i | −0.702577 | − | 1.21690i | ||||
\(187\) | 2.46013e11 | − | 4.26107e11i | 0.0786737 | − | 0.136267i | ||||
\(188\) | −1.03404e12 | −0.321121 | ||||||||
\(189\) | 1.68259e11 | − | 1.71388e12i | 0.0507503 | − | 0.516941i | ||||
\(190\) | −1.57906e12 | −0.462651 | ||||||||
\(191\) | −1.48382e12 | + | 2.57005e12i | −0.422375 | + | 0.731575i | −0.996171 | − | 0.0874231i | \(-0.972137\pi\) |
0.573796 | + | 0.818998i | \(0.305470\pi\) | |||||||
\(192\) | 2.84729e11 | + | 4.93165e11i | 0.0787545 | + | 0.136407i | ||||
\(193\) | 2.46259e12 | + | 4.26533e12i | 0.661953 | + | 1.14654i | 0.980102 | + | 0.198495i | \(0.0636055\pi\) |
−0.318149 | + | 0.948041i | \(0.603061\pi\) | |||||||
\(194\) | 2.14169e12 | − | 3.70951e12i | 0.559560 | − | 0.969186i | ||||
\(195\) | 7.77664e12 | 1.97516 | ||||||||
\(196\) | 6.52050e11 | + | 1.91692e12i | 0.161017 | + | 0.473364i | ||||
\(197\) | 3.21645e12 | 0.772347 | 0.386173 | − | 0.922426i | \(-0.373797\pi\) | ||||
0.386173 | + | 0.922426i | \(0.373797\pi\) | |||||||
\(198\) | −8.94369e11 | + | 1.54909e12i | −0.208861 | + | 0.361759i | ||||
\(199\) | −1.49046e12 | − | 2.58156e12i | −0.338555 | − | 0.586395i | 0.645606 | − | 0.763671i | \(-0.276605\pi\) |
−0.984161 | + | 0.177276i | \(0.943271\pi\) | |||||||
\(200\) | −2.07415e12 | − | 3.59254e12i | −0.458327 | − | 0.793846i | ||||
\(201\) | −5.06514e12 | + | 8.77309e12i | −1.08896 | + | 1.88614i | ||||
\(202\) | −8.07958e11 | −0.169027 | ||||||||
\(203\) | −4.69887e11 | + | 4.78626e12i | −0.0956676 | + | 0.974468i | ||||
\(204\) | 4.97740e11 | 0.0986362 | ||||||||
\(205\) | 8.36182e12 | − | 1.44831e13i | 1.61307 | − | 2.79393i | ||||
\(206\) | −1.37825e12 | − | 2.38720e12i | −0.258856 | − | 0.448352i | ||||
\(207\) | −1.17537e12 | − | 2.03580e12i | −0.214950 | − | 0.372304i | ||||
\(208\) | −5.80437e11 | + | 1.00535e12i | −0.103373 | + | 0.179047i | ||||
\(209\) | 2.00010e12 | 0.346934 | ||||||||
\(210\) | 8.12648e12 | + | 5.81949e12i | 1.37308 | + | 0.983284i | ||||
\(211\) | −1.15582e13 | −1.90256 | −0.951280 | − | 0.308328i | \(-0.900231\pi\) | ||||
−0.951280 | + | 0.308328i | \(0.900231\pi\) | |||||||
\(212\) | −2.31647e11 | + | 4.01225e11i | −0.0371518 | + | 0.0643488i | ||||
\(213\) | 1.51417e12 | + | 2.62262e12i | 0.236639 | + | 0.409871i | ||||
\(214\) | −1.13648e12 | − | 1.96844e12i | −0.173096 | − | 0.299811i | ||||
\(215\) | −1.27425e12 | + | 2.20706e12i | −0.189166 | + | 0.327644i | ||||
\(216\) | 1.26904e12 | 0.183645 | ||||||||
\(217\) | 1.01804e13 | − | 4.61653e12i | 1.43627 | − | 0.651308i | ||||
\(218\) | 1.50596e11 | 0.0207159 | ||||||||
\(219\) | 2.55525e12 | − | 4.42582e12i | 0.342760 | − | 0.593679i | ||||
\(220\) | 3.64052e12 | + | 6.30556e12i | 0.476254 | + | 0.824896i | ||||
\(221\) | 5.07336e11 | + | 8.78731e11i | 0.0647348 | + | 0.112124i | ||||
\(222\) | −3.42444e12 | + | 5.93131e12i | −0.426234 | + | 0.738259i | ||||
\(223\) | 3.33305e12 | 0.404730 | 0.202365 | − | 0.979310i | \(-0.435137\pi\) | ||||
0.202365 | + | 0.979310i | \(0.435137\pi\) | |||||||
\(224\) | −1.35888e12 | + | 6.16215e11i | −0.160997 | + | 0.0730076i | ||||
\(225\) | 1.31816e13 | 1.52393 | ||||||||
\(226\) | −1.10666e12 | + | 1.91678e12i | −0.124858 | + | 0.216260i | ||||
\(227\) | −3.54301e12 | − | 6.13667e12i | −0.390149 | − | 0.675757i | 0.602320 | − | 0.798255i | \(-0.294243\pi\) |
−0.992469 | + | 0.122497i | \(0.960910\pi\) | |||||||
\(228\) | 1.01166e12 | + | 1.75225e12i | 0.108741 | + | 0.188345i | ||||
\(229\) | −3.58697e12 | + | 6.21282e12i | −0.376386 | + | 0.651919i | −0.990533 | − | 0.137272i | \(-0.956167\pi\) |
0.614148 | + | 0.789191i | \(0.289500\pi\) | |||||||
\(230\) | −9.56863e12 | −0.980272 | ||||||||
\(231\) | −1.02933e13 | − | 7.37120e12i | −1.02965 | − | 0.737348i | ||||
\(232\) | −3.54397e12 | −0.346183 | ||||||||
\(233\) | −2.56335e12 | + | 4.43986e12i | −0.244541 | + | 0.423557i | −0.962002 | − | 0.273041i | \(-0.911970\pi\) |
0.717462 | + | 0.696598i | \(0.245304\pi\) | |||||||
\(234\) | −1.84439e12 | − | 3.19458e12i | −0.171857 | − | 0.297665i | ||||
\(235\) | −6.68731e12 | − | 1.15828e13i | −0.608665 | − | 1.05424i | ||||
\(236\) | 1.85720e12 | − | 3.21677e12i | 0.165137 | − | 0.286025i | ||||
\(237\) | −8.30822e12 | −0.721759 | ||||||||
\(238\) | −1.27422e11 | + | 1.29792e12i | −0.0108161 | + | 0.110172i | ||||
\(239\) | 1.21613e13 | 1.00877 | 0.504386 | − | 0.863478i | \(-0.331719\pi\) | ||||
0.504386 | + | 0.863478i | \(0.331719\pi\) | |||||||
\(240\) | −3.68279e12 | + | 6.37878e12i | −0.298549 | + | 0.517101i | ||||
\(241\) | −5.80009e12 | − | 1.00460e13i | −0.459559 | − | 0.795979i | 0.539379 | − | 0.842063i | \(-0.318659\pi\) |
−0.998938 | + | 0.0460843i | \(0.985326\pi\) | |||||||
\(242\) | −4.62398e10 | − | 8.00898e10i | −0.00358123 | − | 0.00620287i | ||||
\(243\) | −6.90744e12 | + | 1.19640e13i | −0.522977 | + | 0.905822i | ||||
\(244\) | 1.01140e13 | 0.748651 | ||||||||
\(245\) | −1.72554e13 | + | 1.97010e13i | −1.24885 | + | 1.42585i | ||||
\(246\) | −2.14288e13 | −1.51654 | ||||||||
\(247\) | −2.06233e12 | + | 3.57206e12i | −0.142733 | + | 0.247221i | ||||
\(248\) | 4.11863e12 | + | 7.13368e12i | 0.278785 | + | 0.482869i | ||||
\(249\) | 2.92302e12 | + | 5.06283e12i | 0.193525 | + | 0.335194i | ||||
\(250\) | 1.64803e13 | − | 2.85448e13i | 1.06732 | − | 1.84866i | ||||
\(251\) | 4.15198e12 | 0.263057 | 0.131528 | − | 0.991312i | \(-0.458012\pi\) | ||||
0.131528 | + | 0.991312i | \(0.458012\pi\) | |||||||
\(252\) | 4.63236e11 | − | 4.71851e12i | 0.0287144 | − | 0.292484i | ||||
\(253\) | 1.21200e13 | 0.735090 | ||||||||
\(254\) | 4.52243e12 | − | 7.83308e12i | 0.268402 | − | 0.464887i | ||||
\(255\) | 3.21897e12 | + | 5.57542e12i | 0.186959 | + | 0.323822i | ||||
\(256\) | −5.49756e11 | − | 9.52205e11i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.52957e12 | − | 1.47737e13i | 0.474564 | − | 0.821969i | −0.525011 | − | 0.851095i | \(-0.675939\pi\) |
0.999576 | + | 0.0291257i | \(0.00927230\pi\) | |||||||
\(258\) | 3.26551e12 | 0.177845 | ||||||||
\(259\) | −1.45899e13 | − | 1.04481e13i | −0.777866 | − | 0.557041i | ||||
\(260\) | −1.50152e13 | −0.783748 | ||||||||
\(261\) | 5.63064e12 | − | 9.75256e12i | 0.287763 | − | 0.498421i | ||||
\(262\) | 1.16893e13 | + | 2.02464e13i | 0.584966 | + | 1.01319i | ||||
\(263\) | 1.04469e13 | + | 1.80946e13i | 0.511955 | + | 0.886732i | 0.999904 | + | 0.0138598i | \(0.00441187\pi\) |
−0.487949 | + | 0.872872i | \(0.662255\pi\) | |||||||
\(264\) | 4.66477e12 | − | 8.07962e12i | 0.223877 | − | 0.387766i | ||||
\(265\) | −5.99241e12 | −0.281676 | ||||||||
\(266\) | −4.82819e12 | + | 2.18945e12i | −0.222298 | + | 0.100806i | ||||
\(267\) | 2.58100e13 | 1.16406 | ||||||||
\(268\) | 9.77979e12 | − | 1.69391e13i | 0.432104 | − | 0.748426i | ||||
\(269\) | 8.56331e12 | + | 1.48321e13i | 0.370684 | + | 0.642044i | 0.989671 | − | 0.143357i | \(-0.0457898\pi\) |
−0.618987 | + | 0.785402i | \(0.712456\pi\) | |||||||
\(270\) | 8.20710e12 | + | 1.42151e13i | 0.348088 | + | 0.602906i | ||||
\(271\) | 8.75729e12 | − | 1.51681e13i | 0.363948 | − | 0.630376i | −0.624659 | − | 0.780898i | \(-0.714762\pi\) |
0.988607 | + | 0.150522i | \(0.0480954\pi\) | |||||||
\(272\) | −9.61037e11 | −0.0391391 | ||||||||
\(273\) | 2.37781e13 | − | 1.07827e13i | 0.949038 | − | 0.430363i | ||||
\(274\) | 1.30794e13 | 0.511632 | ||||||||
\(275\) | −3.39812e13 | + | 5.88572e13i | −1.30289 | + | 2.25668i | ||||
\(276\) | 6.13037e12 | + | 1.06181e13i | 0.230402 | + | 0.399069i | ||||
\(277\) | 1.15398e11 | + | 1.99875e11i | 0.00425167 | + | 0.00736410i | 0.868143 | − | 0.496313i | \(-0.165313\pi\) |
−0.863892 | + | 0.503678i | \(0.831980\pi\) | |||||||
\(278\) | 5.24108e12 | − | 9.07781e12i | 0.189310 | − | 0.327895i | ||||
\(279\) | −2.61747e13 | −0.926955 | ||||||||
\(280\) | −1.56906e13 | − | 1.12363e13i | −0.544843 | − | 0.390170i | ||||
\(281\) | −1.58974e13 | −0.541303 | −0.270651 | − | 0.962677i | \(-0.587239\pi\) | ||||
−0.270651 | + | 0.962677i | \(0.587239\pi\) | |||||||
\(282\) | −8.56877e12 | + | 1.48416e13i | −0.286120 | + | 0.495575i | ||||
\(283\) | 1.40611e13 | + | 2.43546e13i | 0.460463 | + | 0.797546i | 0.998984 | − | 0.0450667i | \(-0.0143500\pi\) |
−0.538521 | + | 0.842612i | \(0.681017\pi\) | |||||||
\(284\) | −2.92356e12 | − | 5.06375e12i | −0.0938990 | − | 0.162638i | ||||
\(285\) | −1.30852e13 | + | 2.26642e13i | −0.412224 | + | 0.713993i | ||||
\(286\) | 1.90188e13 | 0.587720 | ||||||||
\(287\) | 5.48579e12 | − | 5.58782e13i | 0.166299 | − | 1.69392i | ||||
\(288\) | 3.49380e12 | 0.103906 | ||||||||
\(289\) | 1.67159e13 | − | 2.89529e13i | 0.487745 | − | 0.844799i | ||||
\(290\) | −2.29195e13 | − | 3.96977e13i | −0.656169 | − | 1.13652i | ||||
\(291\) | −3.54951e13 | − | 6.14792e13i | −0.997141 | − | 1.72710i | ||||
\(292\) | −4.93368e12 | + | 8.54539e12i | −0.136008 | + | 0.235573i | ||||
\(293\) | −3.82207e13 | −1.03401 | −0.517007 | − | 0.855981i | \(-0.672954\pi\) | ||||
−0.517007 | + | 0.855981i | \(0.672954\pi\) | |||||||
\(294\) | 3.29169e13 | + | 6.52607e12i | 0.873994 | + | 0.173277i | ||||
\(295\) | 4.80435e13 | 1.25203 | ||||||||
\(296\) | 6.61192e12 | − | 1.14522e13i | 0.169131 | − | 0.292943i | ||||
\(297\) | −1.03954e13 | − | 1.80054e13i | −0.261025 | − | 0.452109i | ||||
\(298\) | 2.02999e11 | + | 3.51604e11i | 0.00500384 | + | 0.00866691i | ||||
\(299\) | −1.24971e13 | + | 2.16457e13i | −0.302426 | + | 0.523816i | ||||
\(300\) | −6.87516e13 | −1.63349 | ||||||||
\(301\) | −8.35973e11 | + | 8.51521e12i | −0.0195019 | + | 0.198646i | ||||
\(302\) | −1.69118e13 | −0.387393 | ||||||||
\(303\) | −6.69531e12 | + | 1.15966e13i | −0.150604 | + | 0.260854i | ||||
\(304\) | −1.95332e12 | − | 3.38325e12i | −0.0431488 | − | 0.0747359i | ||||
\(305\) | 6.54091e13 | + | 1.13292e14i | 1.41902 | + | 2.45782i | ||||
\(306\) | 1.52689e12 | − | 2.64466e12i | 0.0325343 | − | 0.0563510i | ||||
\(307\) | −5.25423e13 | −1.09963 | −0.549817 | − | 0.835285i | \(-0.685303\pi\) | ||||
−0.549817 | + | 0.835285i | \(0.685303\pi\) | |||||||
\(308\) | 1.98744e13 | + | 1.42323e13i | 0.408568 | + | 0.292582i | ||||
\(309\) | −4.56846e13 | −0.922569 | ||||||||
\(310\) | −5.32719e13 | + | 9.22696e13i | −1.05684 | + | 1.83050i | ||||
\(311\) | 3.97239e12 | + | 6.88039e12i | 0.0774230 | + | 0.134101i | 0.902137 | − | 0.431449i | \(-0.141997\pi\) |
−0.824714 | + | 0.565549i | \(0.808664\pi\) | |||||||
\(312\) | 9.61982e12 | + | 1.66620e13i | 0.184212 | + | 0.319064i | ||||
\(313\) | 2.33312e13 | − | 4.04107e13i | 0.438978 | − | 0.760332i | −0.558633 | − | 0.829415i | \(-0.688674\pi\) |
0.997611 | + | 0.0690832i | \(0.0220074\pi\) | |||||||
\(314\) | −3.43304e13 | −0.634697 | ||||||||
\(315\) | 5.58501e13 | − | 2.53265e13i | 1.01465 | − | 0.460116i | ||||
\(316\) | 1.60415e13 | 0.286396 | ||||||||
\(317\) | 4.12269e13 | − | 7.14071e13i | 0.723360 | − | 1.25290i | −0.236285 | − | 0.971684i | \(-0.575930\pi\) |
0.959645 | − | 0.281213i | \(-0.0907368\pi\) | |||||||
\(318\) | 3.83918e12 | + | 6.64966e12i | 0.0662048 | + | 0.114670i | ||||
\(319\) | 2.90307e13 | + | 5.02827e13i | 0.492050 | + | 0.852255i | ||||
\(320\) | 7.11074e12 | − | 1.23162e13i | 0.118465 | − | 0.205187i | ||||
\(321\) | −3.76707e13 | −0.616917 | ||||||||
\(322\) | −2.92574e13 | + | 1.32674e13i | −0.471008 | + | 0.213589i | ||||
\(323\) | −3.41463e12 | −0.0540418 | ||||||||
\(324\) | 1.99601e13 | − | 3.45719e13i | 0.310574 | − | 0.537929i | ||||
\(325\) | −7.00770e13 | − | 1.21377e14i | −1.07206 | − | 1.85685i | ||||
\(326\) | 8.33499e12 | + | 1.44366e13i | 0.125374 | + | 0.217155i | ||||
\(327\) | 1.24795e12 | − | 2.16151e12i | 0.0184580 | − | 0.0319701i | ||||
\(328\) | 4.13748e13 | 0.601769 | ||||||||
\(329\) | −3.65075e13 | − | 2.61436e13i | −0.522161 | − | 0.373927i | ||||
\(330\) | 1.20672e14 | 1.69738 | ||||||||
\(331\) | 2.58615e13 | − | 4.47934e13i | 0.357766 | − | 0.619669i | −0.629821 | − | 0.776740i | \(-0.716872\pi\) |
0.987587 | + | 0.157071i | \(0.0502051\pi\) | |||||||
\(332\) | −5.64378e12 | − | 9.77532e12i | −0.0767911 | − | 0.133006i | ||||
\(333\) | 2.10100e13 | + | 3.63904e13i | 0.281179 | + | 0.487016i | ||||
\(334\) | −2.79134e13 | + | 4.83474e13i | −0.367457 | + | 0.636455i | ||||
\(335\) | 2.52991e14 | 3.27611 | ||||||||
\(336\) | −2.41610e12 | + | 2.46104e13i | −0.0307786 | + | 0.313511i | ||||
\(337\) | −1.36515e14 | −1.71087 | −0.855435 | − | 0.517911i | \(-0.826710\pi\) | ||||
−0.855435 | + | 0.517911i | \(0.826710\pi\) | |||||||
\(338\) | 9.06399e12 | − | 1.56993e13i | 0.111758 | − | 0.193570i | ||||
\(339\) | 1.83411e13 | + | 3.17677e13i | 0.222498 | + | 0.385378i | ||||
\(340\) | −6.21520e12 | − | 1.07650e13i | −0.0741858 | − | 0.128494i | ||||
\(341\) | 6.74763e13 | − | 1.16872e14i | 0.792505 | − | 1.37266i | ||||
\(342\) | 1.24137e13 | 0.143469 | ||||||||
\(343\) | −2.54443e13 | + | 8.41640e13i | −0.289382 | + | 0.957214i | ||||
\(344\) | −6.30505e12 | −0.0705695 | ||||||||
\(345\) | −7.92924e13 | + | 1.37339e14i | −0.873427 | + | 1.51282i | ||||
\(346\) | −2.31804e13 | − | 4.01497e13i | −0.251306 | − | 0.435275i | ||||
\(347\) | −1.98692e13 | − | 3.44144e13i | −0.212015 | − | 0.367221i | 0.740330 | − | 0.672244i | \(-0.234669\pi\) |
−0.952345 | + | 0.305022i | \(0.901336\pi\) | |||||||
\(348\) | −2.93678e13 | + | 5.08665e13i | −0.308451 | + | 0.534252i | ||||
\(349\) | −6.01737e13 | −0.622109 | −0.311055 | − | 0.950392i | \(-0.600682\pi\) | ||||
−0.311055 | + | 0.950392i | \(0.600682\pi\) | |||||||
\(350\) | 1.76005e13 | − | 1.79278e14i | 0.179122 | − | 1.82454i | ||||
\(351\) | 4.28756e13 | 0.429557 | ||||||||
\(352\) | −9.00675e12 | + | 1.56001e13i | −0.0888349 | + | 0.153867i | ||||
\(353\) | 8.07816e13 | + | 1.39918e14i | 0.784425 | + | 1.35866i | 0.929342 | + | 0.369221i | \(0.120375\pi\) |
−0.144916 | + | 0.989444i | \(0.546291\pi\) | |||||||
\(354\) | −3.07802e13 | − | 5.33129e13i | −0.294275 | − | 0.509699i | ||||
\(355\) | 3.78144e13 | − | 6.54964e13i | 0.355960 | − | 0.616541i | ||||
\(356\) | −4.98339e13 | −0.461903 | ||||||||
\(357\) | 1.75731e13 | + | 1.25843e13i | 0.160388 | + | 0.114856i | ||||
\(358\) | −8.30828e13 | −0.746714 | ||||||||
\(359\) | −5.86838e13 | + | 1.01643e14i | −0.519396 | + | 0.899620i | 0.480350 | + | 0.877077i | \(0.340510\pi\) |
−0.999746 | + | 0.0225434i | \(0.992824\pi\) | |||||||
\(360\) | 2.25951e13 | + | 3.91358e13i | 0.196947 | + | 0.341122i | ||||
\(361\) | 5.13049e13 | + | 8.88626e13i | 0.440422 | + | 0.762833i | ||||
\(362\) | −3.61219e13 | + | 6.25649e13i | −0.305403 | + | 0.528973i | ||||
\(363\) | −1.53270e12 | −0.0127636 | ||||||||
\(364\) | −4.59109e13 | + | 2.08194e13i | −0.376581 | + | 0.170769i | ||||
\(365\) | −1.27628e14 | −1.03118 | ||||||||
\(366\) | 8.38119e13 | − | 1.45166e14i | 0.667052 | − | 1.15537i | ||||
\(367\) | 2.62280e13 | + | 4.54283e13i | 0.205637 | + | 0.356175i | 0.950336 | − | 0.311227i | \(-0.100740\pi\) |
−0.744698 | + | 0.667401i | \(0.767407\pi\) | |||||||
\(368\) | −1.18365e13 | − | 2.05015e13i | −0.0914243 | − | 0.158352i | ||||
\(369\) | −6.57362e13 | + | 1.13858e14i | −0.500218 | + | 0.866403i | ||||
\(370\) | 1.71042e14 | 1.28231 | ||||||||
\(371\) | −1.83226e13 | + | 8.30881e12i | −0.135342 | + | 0.0613737i | ||||
\(372\) | 1.36520e14 | 0.993594 | ||||||||
\(373\) | −2.37714e13 | + | 4.11733e13i | −0.170474 | + | 0.295269i | −0.938586 | − | 0.345047i | \(-0.887863\pi\) |
0.768112 | + | 0.640316i | \(0.221196\pi\) | |||||||
\(374\) | 7.87242e12 | + | 1.36354e13i | 0.0556307 | + | 0.0963552i | ||||
\(375\) | −2.73136e14 | − | 4.73085e14i | −1.90198 | − | 3.29433i | ||||
\(376\) | 1.65446e13 | − | 2.86561e13i | 0.113533 | − | 0.196646i | ||||
\(377\) | −1.19736e14 | −0.809743 | ||||||||
\(378\) | 4.48044e13 | + | 3.20851e13i | 0.298618 | + | 0.213844i | ||||
\(379\) | 3.35837e13 | 0.220603 | 0.110302 | − | 0.993898i | \(-0.464818\pi\) | ||||
0.110302 | + | 0.993898i | \(0.464818\pi\) | |||||||
\(380\) | 2.52649e13 | − | 4.37602e13i | 0.163572 | − | 0.283315i | ||||
\(381\) | −7.49521e13 | − | 1.29821e14i | −0.478296 | − | 0.828433i | ||||
\(382\) | −4.74823e13 | − | 8.22418e13i | −0.298664 | − | 0.517302i | ||||
\(383\) | 3.73327e12 | − | 6.46622e12i | 0.0231471 | − | 0.0400919i | −0.854220 | − | 0.519912i | \(-0.825965\pi\) |
0.877367 | + | 0.479820i | \(0.159298\pi\) | |||||||
\(384\) | −1.82227e13 | −0.111376 | ||||||||
\(385\) | −3.08920e13 | + | 3.14666e14i | −0.186128 | + | 1.89590i | ||||
\(386\) | −1.57606e14 | −0.936143 | ||||||||
\(387\) | 1.00175e13 | − | 1.73507e13i | 0.0586607 | − | 0.101603i | ||||
\(388\) | 6.85340e13 | + | 1.18704e14i | 0.395668 | + | 0.685318i | ||||
\(389\) | −1.24223e14 | − | 2.15161e14i | −0.707099 | − | 1.22473i | −0.965929 | − | 0.258808i | \(-0.916670\pi\) |
0.258830 | − | 0.965923i | \(-0.416663\pi\) | |||||||
\(390\) | −1.24426e14 | + | 2.15513e14i | −0.698324 | + | 1.20953i | ||||
\(391\) | −2.06916e13 | −0.114505 | ||||||||
\(392\) | −6.35560e13 | − | 1.26006e13i | −0.346803 | − | 0.0687569i | ||||
\(393\) | 3.87463e14 | 2.08483 | ||||||||
\(394\) | −5.14632e13 | + | 8.91368e13i | −0.273066 | + | 0.472964i | ||||
\(395\) | 1.03744e14 | + | 1.79689e14i | 0.542846 | + | 0.940238i | ||||
\(396\) | −2.86198e13 | − | 4.95710e13i | −0.147687 | − | 0.255802i | ||||
\(397\) | −2.96699e13 | + | 5.13898e13i | −0.150997 | + | 0.261535i | −0.931594 | − | 0.363500i | \(-0.881582\pi\) |
0.780597 | + | 0.625035i | \(0.214915\pi\) | |||||||
\(398\) | 9.53897e13 | 0.478789 | ||||||||
\(399\) | −8.58458e12 | + | 8.74423e13i | −0.0424979 | + | 0.432883i | ||||
\(400\) | 1.32746e14 | 0.648173 | ||||||||
\(401\) | 1.47123e14 | − | 2.54824e14i | 0.708576 | − | 1.22729i | −0.256810 | − | 0.966462i | \(-0.582671\pi\) |
0.965385 | − | 0.260827i | \(-0.0839954\pi\) | |||||||
\(402\) | −1.62085e14 | − | 2.80739e14i | −0.770014 | − | 1.33370i | ||||
\(403\) | 1.39152e14 | + | 2.41018e14i | 0.652094 | + | 1.12946i | ||||
\(404\) | 1.29273e13 | − | 2.23908e13i | 0.0597601 | − | 0.103507i | ||||
\(405\) | 5.16342e14 | 2.35469 | ||||||||
\(406\) | −1.25122e14 | − | 8.96020e13i | −0.562914 | − | 0.403111i | ||||
\(407\) | −2.16649e14 | −0.961583 | ||||||||
\(408\) | −7.96383e12 | + | 1.37938e13i | −0.0348732 | + | 0.0604021i | ||||
\(409\) | 3.00517e12 | + | 5.20510e12i | 0.0129835 | + | 0.0224880i | 0.872444 | − | 0.488714i | \(-0.162534\pi\) |
−0.859461 | + | 0.511202i | \(0.829200\pi\) | |||||||
\(410\) | 2.67578e14 | + | 4.63459e14i | 1.14062 | + | 1.97561i | ||||
\(411\) | 1.08385e14 | − | 1.87728e14i | 0.455867 | − | 0.789585i | ||||
\(412\) | 8.82080e13 | 0.366078 | ||||||||
\(413\) | 1.46899e14 | − | 6.66149e13i | 0.601582 | − | 0.272801i | ||||
\(414\) | 7.52235e13 | 0.303985 | ||||||||
\(415\) | 7.29987e13 | − | 1.26438e14i | 0.291106 | − | 0.504210i | ||||
\(416\) | −1.85740e13 | − | 3.21711e13i | −0.0730957 | − | 0.126605i | ||||
\(417\) | −8.68626e13 | − | 1.50450e14i | −0.337353 | − | 0.584312i | ||||
\(418\) | −3.20016e13 | + | 5.54284e13i | −0.122660 | + | 0.212453i | ||||
\(419\) | −1.41210e14 | −0.534181 | −0.267090 | − | 0.963671i | \(-0.586062\pi\) | ||||
−0.267090 | + | 0.963671i | \(0.586062\pi\) | |||||||
\(420\) | −2.91298e14 | + | 1.32096e14i | −1.08759 | + | 0.493194i | ||||
\(421\) | −4.08084e14 | −1.50383 | −0.751915 | − | 0.659261i | \(-0.770869\pi\) | ||||
−0.751915 | + | 0.659261i | \(0.770869\pi\) | |||||||
\(422\) | 1.84932e14 | − | 3.20311e14i | 0.672657 | − | 1.16508i | ||||
\(423\) | 5.25721e13 | + | 9.10575e13i | 0.188748 | + | 0.326922i | ||||
\(424\) | −7.41271e12 | − | 1.28392e13i | −0.0262703 | − | 0.0455015i | ||||
\(425\) | 5.80137e13 | − | 1.00483e14i | 0.202951 | − | 0.351522i | ||||
\(426\) | −9.69068e13 | −0.334658 | ||||||||
\(427\) | 3.57083e14 | + | 2.55712e14i | 1.21735 | + | 0.871763i | ||||
\(428\) | 7.27348e13 | 0.244794 | ||||||||
\(429\) | 1.57603e14 | − | 2.72977e14i | 0.523661 | − | 0.907008i | ||||
\(430\) | −4.07759e13 | − | 7.06260e13i | −0.133760 | − | 0.231680i | ||||
\(431\) | 1.50636e14 | + | 2.60910e14i | 0.487871 | + | 0.845017i | 0.999903 | − | 0.0139492i | \(-0.00444033\pi\) |
−0.512032 | + | 0.858967i | \(0.671107\pi\) | |||||||
\(432\) | −2.03046e13 | + | 3.51686e13i | −0.0649283 | + | 0.112459i | ||||
\(433\) | 1.30262e13 | 0.0411278 | 0.0205639 | − | 0.999789i | \(-0.493454\pi\) | ||||
0.0205639 | + | 0.999789i | \(0.493454\pi\) | |||||||
\(434\) | −3.49491e13 | + | 3.55991e14i | −0.108954 | + | 1.10980i | ||||
\(435\) | −7.59708e14 | −2.33860 | ||||||||
\(436\) | −2.40954e12 | + | 4.17345e12i | −0.00732417 | + | 0.0126858i | ||||
\(437\) | −4.20560e13 | − | 7.28432e13i | −0.126235 | − | 0.218646i | ||||
\(438\) | 8.17680e13 | + | 1.41626e14i | 0.242368 | + | 0.419794i | ||||
\(439\) | −2.46848e14 | + | 4.27554e14i | −0.722563 | + | 1.25152i | 0.237406 | + | 0.971410i | \(0.423703\pi\) |
−0.959969 | + | 0.280105i | \(0.909631\pi\) | |||||||
\(440\) | −2.32993e14 | −0.673524 | ||||||||
\(441\) | 1.35653e14 | − | 1.54879e14i | 0.387272 | − | 0.442160i | ||||
\(442\) | −3.24695e13 | −0.0915488 | ||||||||
\(443\) | 3.65238e13 | − | 6.32611e13i | 0.101708 | − | 0.176164i | −0.810680 | − | 0.585489i | \(-0.800903\pi\) |
0.912389 | + | 0.409325i | \(0.134236\pi\) | |||||||
\(444\) | −1.09582e14 | − | 1.89802e14i | −0.301393 | − | 0.522028i | ||||
\(445\) | −3.22285e14 | − | 5.58214e14i | −0.875508 | − | 1.51642i | ||||
\(446\) | −5.33288e13 | + | 9.23682e13i | −0.143094 | + | 0.247845i | ||||
\(447\) | 6.72876e12 | 0.0178338 | ||||||||
\(448\) | 4.66502e12 | − | 4.75178e13i | 0.0122131 | − | 0.124402i | ||||
\(449\) | 5.60310e14 | 1.44902 | 0.724508 | − | 0.689266i | \(-0.242067\pi\) | ||||
0.724508 | + | 0.689266i | \(0.242067\pi\) | |||||||
\(450\) | −2.10906e14 | + | 3.65300e14i | −0.538791 | + | 0.933213i | ||||
\(451\) | −3.38925e14 | − | 5.87036e14i | −0.855329 | − | 1.48147i | ||||
\(452\) | −3.54130e13 | − | 6.13371e13i | −0.0882879 | − | 0.152919i | ||||
\(453\) | −1.40143e14 | + | 2.42735e14i | −0.345169 | + | 0.597851i | ||||
\(454\) | 2.26753e14 | 0.551753 | ||||||||
\(455\) | −5.30122e14 | − | 3.79628e14i | −1.27442 | − | 0.912631i | ||||
\(456\) | −6.47464e13 | −0.153783 | ||||||||
\(457\) | −1.80385e14 | + | 3.12436e14i | −0.423312 | + | 0.733198i | −0.996261 | − | 0.0863927i | \(-0.972466\pi\) |
0.572949 | + | 0.819591i | \(0.305799\pi\) | |||||||
\(458\) | −1.14783e14 | − | 1.98810e14i | −0.266145 | − | 0.460976i | ||||
\(459\) | 1.77474e13 | + | 3.07394e13i | 0.0406598 | + | 0.0704249i | ||||
\(460\) | 1.53098e14 | − | 2.65174e14i | 0.346579 | − | 0.600292i | ||||
\(461\) | −6.90916e14 | −1.54550 | −0.772752 | − | 0.634709i | \(-0.781120\pi\) | ||||
−0.772752 | + | 0.634709i | \(0.781120\pi\) | |||||||
\(462\) | 3.68970e14 | − | 1.67318e14i | 0.815568 | − | 0.369838i | ||||
\(463\) | 9.81283e13 | 0.214338 | 0.107169 | − | 0.994241i | \(-0.465821\pi\) | ||||
0.107169 | + | 0.994241i | \(0.465821\pi\) | |||||||
\(464\) | 5.67034e13 | − | 9.82132e13i | 0.122394 | − | 0.211993i | ||||
\(465\) | 8.82897e14 | + | 1.52922e15i | 1.88330 | + | 3.26197i | ||||
\(466\) | −8.20273e13 | − | 1.42075e14i | −0.172916 | − | 0.299500i | ||||
\(467\) | 1.50159e13 | − | 2.60083e13i | 0.0312830 | − | 0.0541837i | −0.849960 | − | 0.526847i | \(-0.823374\pi\) |
0.881243 | + | 0.472663i | \(0.156707\pi\) | |||||||
\(468\) | 1.18041e14 | 0.243042 | ||||||||
\(469\) | 7.73554e14 | − | 3.50786e14i | 1.57413 | − | 0.713824i | ||||
\(470\) | 4.27988e14 | 0.860782 | ||||||||
\(471\) | −2.84486e14 | + | 4.92745e14i | −0.565518 | + | 0.979506i | ||||
\(472\) | 5.94305e13 | + | 1.02937e14i | 0.116769 | + | 0.202250i | ||||
\(473\) | 5.16484e13 | + | 8.94577e13i | 0.100305 | + | 0.173733i | ||||
\(474\) | 1.32932e14 | − | 2.30244e14i | 0.255180 | − | 0.441985i | ||||
\(475\) | 4.71655e14 | 0.894971 | ||||||||
\(476\) | −3.39301e13 | − | 2.42979e13i | −0.0636425 | − | 0.0455753i | ||||
\(477\) | 4.71092e13 | 0.0873483 | ||||||||
\(478\) | −1.94581e14 | + | 3.37025e14i | −0.356655 | + | 0.617744i | ||||
\(479\) | −4.01669e14 | − | 6.95711e14i | −0.727818 | − | 1.26062i | −0.957803 | − | 0.287424i | \(-0.907201\pi\) |
0.229985 | − | 0.973194i | \(-0.426132\pi\) | |||||||
\(480\) | −1.17849e14 | − | 2.04121e14i | −0.211106 | − | 0.365646i | ||||
\(481\) | 2.23390e14 | − | 3.86922e14i | 0.395608 | − | 0.685213i | ||||
\(482\) | 3.71206e14 | 0.649914 | ||||||||
\(483\) | −5.20200e13 | + | 5.29875e14i | −0.0900453 | + | 0.917200i | ||||
\(484\) | 2.95935e12 | 0.00506462 | ||||||||
\(485\) | −8.86443e14 | + | 1.53536e15i | −1.49993 | + | 2.59796i | ||||
\(486\) | −2.21038e14 | − | 3.82849e14i | −0.369800 | − | 0.640513i | ||||
\(487\) | −3.89752e13 | − | 6.75071e13i | −0.0644732 | − | 0.111671i | 0.831987 | − | 0.554795i | \(-0.187203\pi\) |
−0.896460 | + | 0.443124i | \(0.853870\pi\) | |||||||
\(488\) | −1.61824e14 | + | 2.80288e14i | −0.264688 | + | 0.458453i | ||||
\(489\) | 2.76279e14 | 0.446836 | ||||||||
\(490\) | −2.69883e14 | − | 7.93412e14i | −0.431616 | − | 1.26888i | ||||
\(491\) | 3.72454e14 | 0.589013 | 0.294506 | − | 0.955650i | \(-0.404845\pi\) | ||||
0.294506 | + | 0.955650i | \(0.404845\pi\) | |||||||
\(492\) | 3.42861e14 | − | 5.93852e14i | 0.536179 | − | 0.928689i | ||||
\(493\) | −4.95621e13 | − | 8.58441e13i | −0.0766464 | − | 0.132755i | ||||
\(494\) | −6.59946e13 | − | 1.14306e14i | −0.100928 | − | 0.174812i | ||||
\(495\) | 3.70179e14 | − | 6.41169e14i | 0.559865 | − | 0.969714i | ||||
\(496\) | −2.63592e14 | −0.394261 | ||||||||
\(497\) | 2.48082e13 | − | 2.52696e14i | 0.0366974 | − | 0.373799i | ||||
\(498\) | −1.87074e14 | −0.273685 | ||||||||
\(499\) | 5.59420e14 | − | 9.68944e14i | 0.809440 | − | 1.40199i | −0.103812 | − | 0.994597i | \(-0.533104\pi\) |
0.913252 | − | 0.407395i | \(-0.133563\pi\) | |||||||
\(500\) | 5.27371e14 | + | 9.13433e14i | 0.754712 | + | 1.30720i | ||||
\(501\) | 4.62620e14 | + | 8.01281e14i | 0.654812 | + | 1.13417i | ||||
\(502\) | −6.64317e13 | + | 1.15063e14i | −0.0930047 | + | 0.161089i | ||||
\(503\) | −5.11050e14 | −0.707685 | −0.353842 | − | 0.935305i | \(-0.615125\pi\) | ||||
−0.353842 | + | 0.935305i | \(0.615125\pi\) | |||||||
\(504\) | 1.23351e14 | + | 8.83337e13i | 0.168957 | + | 0.120993i | ||||
\(505\) | 3.34413e14 | 0.453086 | ||||||||
\(506\) | −1.93920e14 | + | 3.35880e14i | −0.259893 | + | 0.450149i | ||||
\(507\) | −1.50221e14 | − | 2.60191e14i | −0.199153 | − | 0.344944i | ||||
\(508\) | 1.44718e14 | + | 2.50659e14i | 0.189789 | + | 0.328725i | ||||
\(509\) | 6.95856e14 | − | 1.20526e15i | 0.902759 | − | 1.56362i | 0.0788612 | − | 0.996886i | \(-0.474872\pi\) |
0.823898 | − | 0.566739i | \(-0.191795\pi\) | |||||||
\(510\) | −2.06014e14 | −0.264400 | ||||||||
\(511\) | −3.90240e14 | + | 1.76963e14i | −0.495470 | + | 0.224682i | ||||
\(512\) | 3.51844e13 | 0.0441942 | ||||||||
\(513\) | −7.21437e13 | + | 1.24957e14i | −0.0896505 | + | 0.155279i | ||||
\(514\) | 2.72946e14 | + | 4.72757e14i | 0.335568 | + | 0.581220i | ||||
\(515\) | 5.70457e14 | + | 9.88061e14i | 0.693878 | + | 1.20183i | ||||
\(516\) | −5.22481e13 | + | 9.04964e13i | −0.0628778 | + | 0.108908i | ||||
\(517\) | −5.42107e14 | −0.645486 | ||||||||
\(518\) | 5.22984e14 | − | 2.37159e14i | 0.616133 | − | 0.279400i | ||||
\(519\) | −7.68358e14 | −0.895659 | ||||||||
\(520\) | 2.40243e14 | − | 4.16112e14i | 0.277097 | − | 0.479946i | ||||
\(521\) | −5.32699e14 | − | 9.22662e14i | −0.607959 | − | 1.05302i | −0.991576 | − | 0.129524i | \(-0.958655\pi\) |
0.383617 | − | 0.923492i | \(-0.374678\pi\) | |||||||
\(522\) | 1.80181e14 | + | 3.12082e14i | 0.203479 | + | 0.352437i | ||||
\(523\) | −6.82869e13 | + | 1.18276e14i | −0.0763094 | + | 0.132172i | −0.901655 | − | 0.432456i | \(-0.857647\pi\) |
0.825346 | + | 0.564628i | \(0.190980\pi\) | |||||||
\(524\) | −7.48114e14 | −0.827267 | ||||||||
\(525\) | −2.42733e15 | − | 1.73824e15i | −2.65615 | − | 1.90211i | ||||
\(526\) | −6.68603e14 | −0.724014 | ||||||||
\(527\) | −1.15198e14 | + | 1.99528e14i | −0.123448 | + | 0.213819i | ||||
\(528\) | 1.49273e14 | + | 2.58548e14i | 0.158305 | + | 0.274192i | ||||
\(529\) | 2.21558e14 | + | 3.83749e14i | 0.232531 | + | 0.402755i | ||||
\(530\) | 9.58786e13 | − | 1.66067e14i | 0.0995874 | − | 0.172490i | ||||
\(531\) | −3.77692e14 | −0.388256 | ||||||||
\(532\) | 1.65751e13 | − | 1.68834e14i | 0.0168633 | − | 0.171769i | ||||
\(533\) | 1.39788e15 | 1.40757 | ||||||||
\(534\) | −4.12959e14 | + | 7.15267e14i | −0.411557 | + | 0.712838i | ||||
\(535\) | 4.70389e14 | + | 8.14737e14i | 0.463993 | + | 0.803659i | ||||
\(536\) | 3.12953e14 | + | 5.42051e14i | 0.305544 | + | 0.529217i | ||||
\(537\) | −6.88483e14 | + | 1.19249e15i | −0.665326 | + | 1.15238i | ||||
\(538\) | −5.48052e14 | −0.524227 | ||||||||
\(539\) | 3.41845e14 | + | 1.00497e15i | 0.323661 | + | 0.951511i | ||||
\(540\) | −5.25255e14 | −0.492271 | ||||||||
\(541\) | 4.46615e14 | − | 7.73560e14i | 0.414332 | − | 0.717644i | −0.581026 | − | 0.813885i | \(-0.697349\pi\) |
0.995358 | + | 0.0962408i | \(0.0306819\pi\) | |||||||
\(542\) | 2.80233e14 | + | 4.85379e14i | 0.257350 | + | 0.445743i | ||||
\(543\) | 5.98663e14 | + | 1.03691e15i | 0.544231 | + | 0.942636i | ||||
\(544\) | 1.53766e13 | − | 2.66330e13i | 0.0138378 | − | 0.0239677i | ||||
\(545\) | −6.23317e13 | −0.0555301 | ||||||||
\(546\) | −8.16302e13 | + | 8.31483e14i | −0.0719931 | + | 0.733321i | ||||
\(547\) | −2.94327e14 | −0.256980 | −0.128490 | − | 0.991711i | \(-0.541013\pi\) | ||||
−0.128490 | + | 0.991711i | \(0.541013\pi\) | |||||||
\(548\) | −2.09270e14 | + | 3.62466e14i | −0.180889 | + | 0.313310i | ||||
\(549\) | −5.14212e14 | − | 8.90641e14i | −0.440042 | − | 0.762175i | ||||
\(550\) | −1.08740e15 | − | 1.88343e15i | −0.921285 | − | 1.59571i | ||||
\(551\) | 2.01471e14 | − | 3.48958e14i | 0.168997 | − | 0.292711i | ||||
\(552\) | −3.92344e14 | −0.325838 | ||||||||
\(553\) | 5.66359e14 | + | 4.05578e14i | 0.465697 | + | 0.333492i | ||||
\(554\) | −7.38546e12 | −0.00601276 | ||||||||
\(555\) | 1.41737e15 | − | 2.45496e15i | 1.14254 | − | 1.97895i | ||||
\(556\) | 1.67715e14 | + | 2.90490e14i | 0.133863 | + | 0.231857i | ||||
\(557\) | −6.13450e14 | − | 1.06253e15i | −0.484814 | − | 0.839723i | 0.515033 | − | 0.857170i | \(-0.327780\pi\) |
−0.999848 | + | 0.0174469i | \(0.994446\pi\) | |||||||
\(558\) | 4.18795e14 | − | 7.25374e14i | 0.327728 | − | 0.567642i | ||||
\(559\) | −2.13022e14 | −0.165067 | ||||||||
\(560\) | 5.62439e14 | − | 2.55051e14i | 0.431560 | − | 0.195701i | ||||
\(561\) | 2.60946e14 | 0.198269 | ||||||||
\(562\) | 2.54358e14 | − | 4.40560e14i | 0.191379 | − | 0.331479i | ||||
\(563\) | −1.69542e14 | − | 2.93656e14i | −0.126323 | − | 0.218797i | 0.795926 | − | 0.605393i | \(-0.206984\pi\) |
−0.922249 | + | 0.386596i | \(0.873651\pi\) | |||||||
\(564\) | −2.74201e14 | − | 4.74930e14i | −0.202318 | − | 0.350424i | ||||
\(565\) | 4.58044e14 | − | 7.93356e14i | 0.334689 | − | 0.579698i | ||||
\(566\) | −8.99912e14 | −0.651193 | ||||||||
\(567\) | 1.57879e15 | − | 7.15936e14i | 1.13140 | − | 0.513059i | ||||
\(568\) | 1.87108e14 | 0.132793 | ||||||||
\(569\) | −5.29388e14 | + | 9.16927e14i | −0.372097 | + | 0.644492i | −0.989888 | − | 0.141851i | \(-0.954695\pi\) |
0.617791 | + | 0.786343i | \(0.288028\pi\) | |||||||
\(570\) | −4.18726e14 | − | 7.25255e14i | −0.291487 | − | 0.504870i | ||||
\(571\) | 7.73567e13 | + | 1.33986e14i | 0.0533334 | + | 0.0923761i | 0.891460 | − | 0.453100i | \(-0.149682\pi\) |
−0.838126 | + | 0.545476i | \(0.816349\pi\) | |||||||
\(572\) | −3.04301e14 | + | 5.27065e14i | −0.207790 | + | 0.359903i | ||||
\(573\) | −1.57389e15 | −1.06445 | ||||||||
\(574\) | 1.46077e15 | + | 1.04608e15i | 0.978512 | + | 0.700726i | ||||
\(575\) | 2.85809e15 | 1.89628 | ||||||||
\(576\) | −5.59009e13 | + | 9.68231e13i | −0.0367362 | + | 0.0636290i | ||||
\(577\) | 9.36749e14 | + | 1.62250e15i | 0.609757 | + | 1.05613i | 0.991280 | + | 0.131770i | \(0.0420661\pi\) |
−0.381524 | + | 0.924359i | \(0.624601\pi\) | |||||||
\(578\) | 5.34910e14 | + | 9.26492e14i | 0.344888 | + | 0.597363i | ||||
\(579\) | −1.30603e15 | + | 2.26212e15i | −0.834108 | + | 1.44472i | ||||
\(580\) | 1.46685e15 | 0.927962 | ||||||||
\(581\) | 4.78910e13 | − | 4.87817e14i | 0.0300113 | − | 0.305695i | ||||
\(582\) | 2.27168e15 | 1.41017 | ||||||||
\(583\) | −1.21444e14 | + | 2.10347e14i | −0.0746789 | + | 0.129348i | ||||
\(584\) | −1.57878e14 | − | 2.73452e14i | −0.0961724 | − | 0.166576i | ||||
\(585\) | 7.63394e14 | + | 1.32224e15i | 0.460672 | + | 0.797906i | ||||
\(586\) | 6.11531e14 | − | 1.05920e15i | 0.365579 | − | 0.633202i | ||||
\(587\) | −2.97041e15 | −1.75916 | −0.879582 | − | 0.475747i | \(-0.842178\pi\) | ||||
−0.879582 | + | 0.475747i | \(0.842178\pi\) | |||||||
\(588\) | −7.07526e14 | + | 8.07802e14i | −0.415114 | + | 0.473947i | ||||
\(589\) | −9.36562e14 | −0.544380 | ||||||||
\(590\) | −7.68695e14 | + | 1.33142e15i | −0.442658 | + | 0.766706i | ||||
\(591\) | 8.52921e14 | + | 1.47730e15i | 0.486606 | + | 0.842826i | ||||
\(592\) | 2.11581e14 | + | 3.66470e14i | 0.119594 | + | 0.207142i | ||||
\(593\) | −7.29897e14 | + | 1.26422e15i | −0.408753 | + | 0.707981i | −0.994750 | − | 0.102332i | \(-0.967370\pi\) |
0.585997 | + | 0.810313i | \(0.300703\pi\) | |||||||
\(594\) | 6.65309e14 | 0.369146 | ||||||||
\(595\) | 5.27398e13 | − | 5.37207e14i | 0.0289931 | − | 0.295324i | ||||
\(596\) | −1.29919e13 | −0.00707650 | ||||||||
\(597\) | 7.90466e14 | − | 1.36913e15i | 0.426604 | − | 0.738899i | ||||
\(598\) | −3.99908e14 | − | 6.92661e14i | −0.213847 | − | 0.370394i | ||||
\(599\) | −1.64855e15 | − | 2.85537e15i | −0.873482 | − | 1.51292i | −0.858371 | − | 0.513030i | \(-0.828523\pi\) |
−0.0151111 | − | 0.999886i | \(-0.504810\pi\) | |||||||
\(600\) | 1.10003e15 | − | 1.90530e15i | 0.577525 | − | 1.00030i | ||||
\(601\) | 3.21190e15 | 1.67091 | 0.835453 | − | 0.549562i | \(-0.185205\pi\) | ||||
0.835453 | + | 0.549562i | \(0.185205\pi\) | |||||||
\(602\) | −2.22605e14 | − | 1.59410e14i | −0.114750 | − | 0.0821743i | ||||
\(603\) | −1.98888e15 | −1.01593 | ||||||||
\(604\) | 2.70589e14 | − | 4.68674e14i | 0.136964 | − | 0.237229i | ||||
\(605\) | 1.91386e13 | + | 3.31491e13i | 0.00959968 | + | 0.0166271i | ||||
\(606\) | −2.14250e14 | − | 3.71092e14i | −0.106493 | − | 0.184451i | ||||
\(607\) | −8.86308e14 | + | 1.53513e15i | −0.436563 | + | 0.756150i | −0.997422 | − | 0.0717620i | \(-0.977138\pi\) |
0.560859 | + | 0.827912i | \(0.310471\pi\) | |||||||
\(608\) | 1.25012e14 | 0.0610216 | ||||||||
\(609\) | −2.32291e15 | + | 1.05338e15i | −1.12367 | + | 0.509552i | ||||
\(610\) | −4.18618e15 | −2.00680 | ||||||||
\(611\) | 5.58974e14 | − | 9.68172e14i | 0.265561 | − | 0.459966i | ||||
\(612\) | 4.88606e13 | + | 8.46290e13i | 0.0230052 | + | 0.0398462i | ||||
\(613\) | −6.28888e14 | − | 1.08927e15i | −0.293454 | − | 0.508278i | 0.681170 | − | 0.732126i | \(-0.261472\pi\) |
−0.974624 | + | 0.223847i | \(0.928138\pi\) | |||||||
\(614\) | 8.40677e14 | − | 1.45610e15i | 0.388779 | − | 0.673386i | ||||
\(615\) | 8.86937e15 | 4.06518 | ||||||||
\(616\) | −7.12408e14 | + | 3.23058e14i | −0.323620 | + | 0.146753i | ||||
\(617\) | −2.99542e15 | −1.34862 | −0.674311 | − | 0.738448i | \(-0.735559\pi\) | ||||
−0.674311 | + | 0.738448i | \(0.735559\pi\) | |||||||
\(618\) | 7.30954e14 | − | 1.26605e15i | 0.326177 | − | 0.564956i | ||||
\(619\) | −8.41793e14 | − | 1.45803e15i | −0.372312 | − | 0.644863i | 0.617609 | − | 0.786485i | \(-0.288101\pi\) |
−0.989921 | + | 0.141623i | \(0.954768\pi\) | |||||||
\(620\) | −1.70470e15 | − | 2.95263e15i | −0.747298 | − | 1.29436i | ||||
\(621\) | −4.37169e14 | + | 7.57200e14i | −0.189953 | + | 0.329008i | ||||
\(622\) | −2.54233e14 | −0.109493 | ||||||||
\(623\) | −1.75943e15 | − | 1.25995e15i | −0.751081 | − | 0.537860i | ||||
\(624\) | −6.15669e14 | −0.260514 | ||||||||
\(625\) | −3.73048e15 | + | 6.46138e15i | −1.56468 | + | 2.71010i | ||||
\(626\) | 7.46597e14 | + | 1.29314e15i | 0.310404 | + | 0.537636i | ||||
\(627\) | 5.30376e14 | + | 9.18638e14i | 0.218581 | + | 0.378593i | ||||
\(628\) | 5.49287e14 | − | 9.51393e14i | 0.224399 | − | 0.388671i | ||||
\(629\) | 3.69869e14 | 0.149785 | ||||||||
\(630\) | −1.91733e14 | + | 1.95299e15i | −0.0769704 | + | 0.784019i | ||||
\(631\) | 2.26833e15 | 0.902701 | 0.451351 | − | 0.892347i | \(-0.350942\pi\) | ||||
0.451351 | + | 0.892347i | \(0.350942\pi\) | |||||||
\(632\) | −2.56665e14 | + | 4.44556e14i | −0.101256 | + | 0.175381i | ||||
\(633\) | −3.06495e15 | − | 5.30866e15i | −1.19868 | − | 2.07618i | ||||
\(634\) | 1.31926e15 | + | 2.28503e15i | 0.511493 | + | 0.885932i | ||||
\(635\) | −1.87183e15 | + | 3.24211e15i | −0.719468 | + | 1.24615i | ||||
\(636\) | −2.45708e14 | −0.0936278 | ||||||||
\(637\) | −2.14730e15 | − | 4.25721e14i | −0.811194 | − | 0.160827i | ||||
\(638\) | −1.85797e15 | −0.695863 | ||||||||
\(639\) | −2.97277e14 | + | 5.14898e14i | −0.110384 | + | 0.191191i | ||||
\(640\) | 2.27544e14 | + | 3.94117e14i | 0.0837674 | + | 0.145089i | ||||
\(641\) | 1.44278e15 | + | 2.49896e15i | 0.526599 | + | 0.912097i | 0.999520 | + | 0.0309916i | \(0.00986651\pi\) |
−0.472920 | + | 0.881105i | \(0.656800\pi\) | |||||||
\(642\) | 6.02732e14 | − | 1.04396e15i | 0.218113 | − | 0.377783i | ||||
\(643\) | −1.89915e15 | −0.681394 | −0.340697 | − | 0.940173i | \(-0.610663\pi\) | ||||
−0.340697 | + | 0.940173i | \(0.610663\pi\) | |||||||
\(644\) | 1.00440e14 | − | 1.02308e15i | 0.0357302 | − | 0.363948i | ||||
\(645\) | −1.35159e15 | −0.476724 | ||||||||
\(646\) | 5.46341e13 | − | 9.46290e13i | 0.0191067 | − | 0.0330937i | ||||
\(647\) | −1.70611e14 | − | 2.95507e14i | −0.0591607 | − | 0.102469i | 0.834928 | − | 0.550359i | \(-0.185509\pi\) |
−0.894089 | + | 0.447890i | \(0.852176\pi\) | |||||||
\(648\) | 6.38722e14 | + | 1.10630e15i | 0.219609 | + | 0.380374i | ||||
\(649\) | 9.73661e14 | − | 1.68643e15i | 0.331942 | − | 0.574940i | ||||
\(650\) | 4.48493e15 | 1.51612 | ||||||||
\(651\) | 4.81993e15 | + | 3.45162e15i | 1.61564 | + | 1.15699i | ||||
\(652\) | −5.33440e14 | −0.177306 | ||||||||
\(653\) | 2.32967e15 | − | 4.03512e15i | 0.767844 | − | 1.32994i | −0.170886 | − | 0.985291i | \(-0.554663\pi\) |
0.938730 | − | 0.344653i | \(-0.112004\pi\) | |||||||
\(654\) | 3.99343e13 | + | 6.91683e13i | 0.0130517 | + | 0.0226063i | ||||
\(655\) | −4.83819e15 | − | 8.37998e15i | −1.56803 | − | 2.71591i | ||||
\(656\) | −6.61997e14 | + | 1.14661e15i | −0.212757 | + | 0.368507i | ||||
\(657\) | 1.00334e15 | 0.319772 | ||||||||
\(658\) | 1.30863e15 | − | 5.93429e14i | 0.413595 | − | 0.187554i | ||||
\(659\) | 5.54119e15 | 1.73673 | 0.868367 | − | 0.495922i | \(-0.165170\pi\) | ||||
0.868367 | + | 0.495922i | \(0.165170\pi\) | |||||||
\(660\) | −1.93075e15 | + | 3.34415e15i | −0.600114 | + | 1.03943i | ||||
\(661\) | 1.65371e15 | + | 2.86430e15i | 0.509742 | + | 0.882899i | 0.999936 | + | 0.0112855i | \(0.00359237\pi\) |
−0.490195 | + | 0.871613i | \(0.663074\pi\) | |||||||
\(662\) | 8.27567e14 | + | 1.43339e15i | 0.252979 | + | 0.438172i | ||||
\(663\) | −2.69065e14 | + | 4.66034e14i | −0.0815705 | + | 0.141284i | ||||
\(664\) | 3.61202e14 | 0.108599 | ||||||||
\(665\) | 1.99838e15 | − | 9.06213e14i | 0.595882 | − | 0.270216i | ||||
\(666\) | −1.34464e15 | −0.397647 | ||||||||
\(667\) | 1.22086e15 | − | 2.11458e15i | 0.358074 | − | 0.620202i | ||||
\(668\) | −8.93228e14 | − | 1.54712e15i | −0.259831 | − | 0.450041i | ||||
\(669\) | 8.83841e14 | + | 1.53086e15i | 0.254994 | + | 0.441663i | ||||
\(670\) | −4.04785e15 | + | 7.01108e15i | −1.15828 | + | 2.00620i | ||||
\(671\) | 5.30239e15 | 1.50487 | ||||||||
\(672\) | −6.43365e14 | − | 4.60723e14i | −0.181103 | − | 0.129691i | ||||
\(673\) | 6.48265e15 | 1.80996 | 0.904982 | − | 0.425451i | \(-0.139884\pi\) | ||||
0.904982 | + | 0.425451i | \(0.139884\pi\) | |||||||
\(674\) | 2.18424e15 | − | 3.78322e15i | 0.604884 | − | 1.04769i | ||||
\(675\) | −2.45141e15 | − | 4.24596e15i | −0.673356 | − | 1.16629i | ||||
\(676\) | 2.90048e14 | + | 5.02378e14i | 0.0790247 | + | 0.136875i | ||||
\(677\) | 4.28701e14 | − | 7.42532e14i | 0.115856 | − | 0.200668i | −0.802266 | − | 0.596967i | \(-0.796372\pi\) |
0.918121 | + | 0.396299i | \(0.129706\pi\) | |||||||
\(678\) | −1.17383e15 | −0.314660 | ||||||||
\(679\) | −5.81553e14 | + | 5.92369e15i | −0.154634 | + | 1.57510i | ||||
\(680\) | 3.97773e14 | 0.104915 | ||||||||
\(681\) | 1.87903e15 | − | 3.25458e15i | 0.491615 | − | 0.851502i | ||||
\(682\) | 2.15924e15 | + | 3.73992e15i | 0.560386 | + | 0.970617i | ||||
\(683\) | −1.23204e15 | − | 2.13396e15i | −0.317184 | − | 0.549378i | 0.662716 | − | 0.748871i | \(-0.269404\pi\) |
−0.979899 | + | 0.199493i | \(0.936071\pi\) | |||||||
\(684\) | −1.98619e14 | + | 3.44019e14i | −0.0507240 | + | 0.0878565i | ||||
\(685\) | −5.41354e15 | −1.37146 | ||||||||
\(686\) | −1.92531e15 | − | 2.05176e15i | −0.483859 | − | 0.515636i | ||||
\(687\) | −3.80470e15 | −0.948545 | ||||||||
\(688\) | 1.00881e14 | − | 1.74731e14i | 0.0249501 | − | 0.0432148i | ||||
\(689\) | −2.50445e14 | − | 4.33783e14i | −0.0614478 | − | 0.106431i | ||||
\(690\) | −2.53736e15 | − | 4.39483e15i | −0.617606 | − | 1.06973i | ||||
\(691\) | −1.74499e15 | + | 3.02241e15i | −0.421369 | + | 0.729833i | −0.996074 | − | 0.0885279i | \(-0.971784\pi\) |
0.574704 | + | 0.818361i | \(0.305117\pi\) | |||||||
\(692\) | 1.48355e15 | 0.355400 | ||||||||
\(693\) | 2.42857e14 | − | 2.47373e15i | 0.0577188 | − | 0.587923i | ||||
\(694\) | 1.27163e15 | 0.299835 | ||||||||
\(695\) | −2.16928e15 | + | 3.75730e15i | −0.507457 | + | 0.878941i | ||||
\(696\) | −9.39770e14 | − | 1.62773e15i | −0.218108 | − | 0.377773i | ||||
\(697\) | 5.78623e14 | + | 1.00221e15i | 0.133234 | + | 0.230768i | ||||
\(698\) | 9.62779e14 | − | 1.66758e15i | 0.219949 | − | 0.380962i | ||||
\(699\) | −2.71895e15 | −0.616277 | ||||||||
\(700\) | 4.68669e15 | + | 3.35621e15i | 1.05397 | + | 0.754761i | ||||
\(701\) | −6.39900e14 | −0.142779 | −0.0713893 | − | 0.997449i | \(-0.522743\pi\) | ||||
−0.0713893 | + | 0.997449i | \(0.522743\pi\) | |||||||
\(702\) | −6.86009e14 | + | 1.18820e15i | −0.151871 | + | 0.263049i | ||||
\(703\) | 7.51763e14 | + | 1.30209e15i | 0.165130 | + | 0.286014i | ||||
\(704\) | −2.88216e14 | − | 4.99205e14i | −0.0628157 | − | 0.108800i | ||||
\(705\) | 3.54661e15 | − | 6.14291e15i | 0.766961 | − | 1.32842i | ||||
\(706\) | −5.17002e15 | −1.10935 | ||||||||
\(707\) | 1.02251e15 | − | 4.63683e14i | 0.217702 | − | 0.0987220i | ||||
\(708\) | 1.96993e15 | 0.416168 | ||||||||
\(709\) | −1.71765e15 | + | 2.97505e15i | −0.360064 | + | 0.623649i | −0.987971 | − | 0.154639i | \(-0.950579\pi\) |
0.627907 | + | 0.778288i | \(0.283912\pi\) | |||||||
\(710\) | 1.21006e15 | + | 2.09589e15i | 0.251702 | + | 0.435960i | ||||
\(711\) | −8.15576e14 | − | 1.41262e15i | −0.168338 | − | 0.291570i | ||||
\(712\) | 7.97343e14 | − | 1.38104e15i | 0.163307 | − | 0.282856i | ||||
\(713\) | −5.67529e15 | −1.15344 | ||||||||
\(714\) | −6.29917e14 | + | 2.85650e14i | −0.127041 | + | 0.0576095i | ||||
\(715\) | −7.87188e15 | −1.57542 | ||||||||
\(716\) | 1.32932e15 | − | 2.30246e15i | 0.264003 | − | 0.457267i | ||||
\(717\) | 3.22488e15 | + | 5.58566e15i | 0.635562 | + | 1.10083i | ||||
\(718\) | −1.87788e15 | − | 3.25259e15i | −0.367268 | − | 0.636128i | ||||
\(719\) | −3.00521e15 | + | 5.20518e15i | −0.583265 | + | 1.01024i | 0.411824 | + | 0.911263i | \(0.364892\pi\) |
−0.995089 | + | 0.0989813i | \(0.968442\pi\) | |||||||
\(720\) | −1.44608e15 | −0.278525 | ||||||||
\(721\) | 3.11425e15 | + | 2.23016e15i | 0.595264 | + | 0.426277i | ||||
\(722\) | −3.28351e15 | −0.622851 | ||||||||
\(723\) | 3.07607e15 | − | 5.32792e15i | 0.579077 | − | 1.00299i | ||||
\(724\) | −1.15590e15 | − | 2.00208e15i | −0.215952 | − | 0.374041i | ||||
\(725\) | 6.84589e15 | + | 1.18574e16i | 1.26932 | + | 2.19853i | ||||
\(726\) | 2.45233e13 | − | 4.24756e13i | 0.00451260 | − | 0.00781606i | ||||
\(727\) | 2.27216e15 | 0.414954 | 0.207477 | − | 0.978240i | \(-0.433475\pi\) | ||||
0.207477 | + | 0.978240i | \(0.433475\pi\) | |||||||
\(728\) | 1.57612e14 | − | 1.60543e15i | 0.0285671 | − | 0.290984i | ||||
\(729\) | −4.20716e14 | −0.0756812 | ||||||||
\(730\) | 2.04205e15 | − | 3.53693e15i | 0.364578 | − | 0.631468i | ||||
\(731\) | −8.81757e13 | − | 1.52725e14i | −0.0156244 | − | 0.0270623i | ||||
\(732\) | 2.68198e15 | + | 4.64533e15i | 0.471677 | + | 0.816968i | ||||
\(733\) | 4.45928e15 | − | 7.72370e15i | 0.778382 | − | 1.34820i | −0.154492 | − | 0.987994i | \(-0.549374\pi\) |
0.932874 | − | 0.360203i | \(-0.117293\pi\) | |||||||
\(734\) | −1.67859e15 | −0.290815 | ||||||||
\(735\) | −1.36243e16 | − | 2.70114e15i | −2.34279 | − | 0.464479i | ||||
\(736\) | 7.57539e14 | 0.129294 | ||||||||
\(737\) | 5.12717e15 | − | 8.88052e15i | 0.868574 | − | 1.50441i | ||||
\(738\) | −2.10356e15 | − | 3.64347e15i | −0.353708 | − | 0.612640i | ||||
\(739\) | 7.73813e14 | + | 1.34028e15i | 0.129149 | + | 0.223693i | 0.923347 | − | 0.383966i | \(-0.125442\pi\) |
−0.794198 | + | 0.607659i | \(0.792109\pi\) | |||||||
\(740\) | −2.73667e15 | + | 4.74005e15i | −0.453365 | + | 0.785251i | ||||
\(741\) | −2.18751e15 | −0.359708 | ||||||||
\(742\) | 6.29014e13 | − | 6.40713e14i | 0.0102669 | − | 0.104578i | ||||
\(743\) | −1.10643e16 | −1.79260 | −0.896301 | − | 0.443446i | \(-0.853756\pi\) | ||||
−0.896301 | + | 0.443446i | \(0.853756\pi\) | |||||||
\(744\) | −2.18431e15 | + | 3.78334e15i | −0.351289 | + | 0.608450i | ||||
\(745\) | −8.40211e13 | − | 1.45529e14i | −0.0134131 | − | 0.0232321i | ||||
\(746\) | −7.60686e14 | − | 1.31755e15i | −0.120543 | − | 0.208787i | ||||
\(747\) | −5.73877e14 | + | 9.93984e14i | −0.0902725 | + | 0.156357i | ||||
\(748\) | −5.03835e14 | −0.0786737 | ||||||||
\(749\) | 2.56796e15 | + | 1.83895e15i | 0.398050 | + | 0.285049i | ||||
\(750\) | 1.74807e16 | 2.68981 | ||||||||
\(751\) | −5.48465e15 | + | 9.49968e15i | −0.837778 | + | 1.45107i | 0.0539706 | + | 0.998543i | \(0.482812\pi\) |
−0.891749 | + | 0.452531i | \(0.850521\pi\) | |||||||
\(752\) | 5.29428e14 | + | 9.16995e14i | 0.0802802 | + | 0.139049i | ||||
\(753\) | 1.10100e15 | + | 1.90699e15i | 0.165735 | + | 0.287062i | ||||
\(754\) | 1.91578e15 | − | 3.31822e15i | 0.286287 | − | 0.495864i | ||||
\(755\) | 6.99979e15 | 1.03843 | ||||||||
\(756\) | −1.60604e15 | + | 7.28295e14i | −0.236530 | + | 0.107260i | ||||
\(757\) | −7.15456e15 | −1.04606 | −0.523029 | − | 0.852315i | \(-0.675198\pi\) | ||||
−0.523029 | + | 0.852315i | \(0.675198\pi\) | |||||||
\(758\) | −5.37338e14 | + | 9.30698e14i | −0.0779951 | + | 0.135091i | ||||
\(759\) | 3.21392e15 | + | 5.56667e15i | 0.463133 | + | 0.802169i | ||||
\(760\) | 8.08478e14 | + | 1.40032e15i | 0.115663 | + | 0.200334i | ||||
\(761\) | 1.07138e15 | − | 1.85568e15i | 0.152169 | − | 0.263565i | −0.779855 | − | 0.625960i | \(-0.784707\pi\) |
0.932025 | + | 0.362395i | \(0.118041\pi\) | |||||||
\(762\) | 4.79694e15 | 0.676413 | ||||||||
\(763\) | −1.90588e14 | + | 8.64264e13i | −0.0266815 | + | 0.0120993i | ||||
\(764\) | 3.03887e15 | 0.422375 | ||||||||
\(765\) | −6.31980e14 | + | 1.09462e15i | −0.0872099 | + | 0.151052i | ||||
\(766\) | 1.19465e14 | + | 2.06919e14i | 0.0163675 | + | 0.0283493i | ||||
\(767\) | 2.00791e15 | + | 3.47780e15i | 0.273130 | + | 0.473076i | ||||
\(768\) | 2.91563e14 | − | 5.05001e14i | 0.0393772 | − | 0.0682034i | ||||
\(769\) | −6.61329e15 | −0.886795 | −0.443397 | − | 0.896325i | \(-0.646227\pi\) | ||||
−0.443397 | + | 0.896325i | \(0.646227\pi\) | |||||||
\(770\) | −8.22600e15 | − | 5.89076e15i | −1.09519 | − | 0.784282i | ||||
\(771\) | 9.04731e15 | 1.19597 | ||||||||
\(772\) | 2.52169e15 | − | 4.36770e15i | 0.330976 | − | 0.573268i | ||||
\(773\) | 2.38849e15 | + | 4.13699e15i | 0.311270 | + | 0.539135i | 0.978638 | − | 0.205593i | \(-0.0659124\pi\) |
−0.667368 | + | 0.744728i | \(0.732579\pi\) | |||||||
\(774\) | 3.20559e14 | + | 5.55224e14i | 0.0414794 | + | 0.0718444i | ||||
\(775\) | 1.59120e16 | − | 2.75603e16i | 2.04439 | − | 3.54099i | ||||
\(776\) | −4.38617e15 | −0.559560 | ||||||||
\(777\) | 9.29872e14 | − | 9.47166e15i | 0.117790 | − | 1.19980i | ||||
\(778\) | 7.95029e15 | 0.999988 | ||||||||
\(779\) | −2.35212e15 | + | 4.07399e15i | −0.293767 | + | 0.508820i | ||||
\(780\) | −3.98164e15 | − | 6.89640e15i | −0.493789 | − | 0.855268i | ||||
\(781\) | −1.53271e15 | − | 2.65473e15i | −0.188747 | − | 0.326919i | ||||
\(782\) | 3.31066e14 | − | 5.73424e14i | 0.0404835 | − | 0.0701194i | ||||
\(783\) | −4.18856e15 | −0.508598 | ||||||||
\(784\) | 1.36609e15 | − | 1.55971e15i | 0.164718 | − | 0.188064i | ||||
\(785\) | 1.42094e16 | 1.70134 | ||||||||
\(786\) | −6.19940e15 | + | 1.07377e16i | −0.737099 | + | 1.27669i | ||||
\(787\) | 4.62968e15 | + | 8.01884e15i | 0.546626 | + | 0.946784i | 0.998503 | + | 0.0547033i | \(0.0174213\pi\) |
−0.451877 | + | 0.892080i | \(0.649245\pi\) | |||||||
\(788\) | −1.64682e15 | − | 2.85238e15i | −0.193087 | − | 0.334436i | ||||
\(789\) | −5.54052e15 | + | 9.59646e15i | −0.645100 | + | 1.11735i | ||||
\(790\) | −6.63959e15 | −0.767701 | ||||||||
\(791\) | 3.00501e14 | − | 3.06090e15i | 0.0345045 | − | 0.351462i | ||||
\(792\) | 1.83167e15 | 0.208861 | ||||||||
\(793\) | −5.46737e15 | + | 9.46977e15i | −0.619122 | + | 1.07235i | ||||
\(794\) | −9.49438e14 | − | 1.64448e15i | −0.106771 | − | 0.184933i | ||||
\(795\) | −1.58904e15 | − | 2.75229e15i | −0.177466 | − | 0.307380i | ||||
\(796\) | −1.52623e15 | + | 2.64352e15i | −0.169278 | + | 0.293197i | ||||
\(797\) | 1.62475e15 | 0.178964 | 0.0894821 | − | 0.995988i | \(-0.471479\pi\) | ||||
0.0894821 | + | 0.995988i | \(0.471479\pi\) | |||||||
\(798\) | −2.28592e15 | − | 1.63698e15i | −0.250061 | − | 0.179072i | ||||
\(799\) | 9.25501e14 | 0.100547 | ||||||||
\(800\) | −2.12393e15 | + | 3.67876e15i | −0.229164 | + | 0.396923i | ||||
\(801\) | 2.53363e15 | + | 4.38838e15i | 0.271497 | + | 0.470247i | ||||
\(802\) | 4.70793e15 | + | 8.15438e15i | 0.501039 | + | 0.867825i | ||||
\(803\) | −2.58654e15 | + | 4.48002e15i | −0.273391 | + | 0.473527i | ||||
\(804\) | 1.03734e16 | 1.08896 | ||||||||
\(805\) | 1.21096e16 | − | 5.49139e15i | 1.26256 | − | 0.572538i | ||||
\(806\) | −8.90570e15 | −0.922201 | ||||||||
\(807\) | −4.54155e15 | + | 7.86619e15i | −0.467089 | + | 0.809022i | ||||
\(808\) | 4.13674e14 | + | 7.16505e14i | 0.0422568 | + | 0.0731909i | ||||
\(809\) | −5.21943e15 | − | 9.04033e15i | −0.529549 | − | 0.917207i | −0.999406 | − | 0.0344638i | \(-0.989028\pi\) |
0.469856 | − | 0.882743i | \(-0.344306\pi\) | |||||||
\(810\) | −8.26147e15 | + | 1.43093e16i | −0.832510 | + | 1.44195i | ||||
\(811\) | 3.09719e15 | 0.309994 | 0.154997 | − | 0.987915i | \(-0.450463\pi\) | ||||
0.154997 | + | 0.987915i | \(0.450463\pi\) | |||||||
\(812\) | 4.48508e15 | − | 2.03386e15i | 0.445874 | − | 0.202192i | ||||
\(813\) | 9.28885e15 | 0.917200 | ||||||||
\(814\) | 3.46638e15 | − | 6.00394e15i | 0.339971 | − | 0.588847i | ||||
\(815\) | −3.44985e15 | − | 5.97532e15i | −0.336073 | − | 0.582095i | ||||
\(816\) | −2.54843e14 | − | 4.41400e14i | −0.0246590 | − | 0.0427107i | ||||
\(817\) | 3.58436e14 | − | 6.20830e14i | 0.0344501 | − | 0.0596694i | ||||
\(818\) | −1.92331e14 | −0.0183614 | ||||||||
\(819\) | 4.16754e15 | + | 2.98443e15i | 0.395201 | + | 0.283009i | ||||
\(820\) | −1.71250e16 | −1.61307 | ||||||||
\(821\) | −1.77499e15 | + | 3.07437e15i | −0.166077 | + | 0.287653i | −0.937037 | − | 0.349230i | \(-0.886443\pi\) |
0.770960 | + | 0.636883i | \(0.219777\pi\) | |||||||
\(822\) | 3.46831e15 | + | 6.00729e15i | 0.322347 | + | 0.558321i | ||||
\(823\) | −6.30252e15 | − | 1.09163e16i | −0.581856 | − | 1.00780i | −0.995259 | − | 0.0972556i | \(-0.968994\pi\) |
0.413404 | − | 0.910548i | \(-0.364340\pi\) | |||||||
\(824\) | −1.41133e15 | + | 2.44449e15i | −0.129428 | + | 0.224176i | ||||
\(825\) | −3.60438e16 | −3.28348 | ||||||||
\(826\) | −5.04305e14 | + | 5.13684e15i | −0.0456355 | + | 0.464842i | ||||
\(827\) | −1.86886e16 | −1.67995 | −0.839977 | − | 0.542623i | \(-0.817431\pi\) | ||||
−0.839977 | + | 0.542623i | \(0.817431\pi\) | |||||||
\(828\) | −1.20358e15 | + | 2.08465e15i | −0.107475 | + | 0.186152i | ||||
\(829\) | −1.00376e16 | − | 1.73856e16i | −0.890389 | − | 1.54220i | −0.839409 | − | 0.543500i | \(-0.817099\pi\) |
−0.0509802 | − | 0.998700i | \(-0.516235\pi\) | |||||||
\(830\) | 2.33596e15 | + | 4.04600e15i | 0.205843 | + | 0.356530i | ||||
\(831\) | −6.12012e13 | + | 1.06004e14i | −0.00535740 | + | 0.00927929i | ||||
\(832\) | 1.18873e15 | 0.103373 | ||||||||
\(833\) | −5.83608e14 | − | 1.71571e15i | −0.0504166 | − | 0.148216i | ||||
\(834\) | 5.55921e15 | 0.477089 | ||||||||
\(835\) | 1.15533e16 | − | 2.00110e16i | 0.984990 | − | 1.70605i | ||||
\(836\) | −1.02405e15 | − | 1.77371e15i | −0.0867335 | − | 0.150227i | ||||
\(837\) | 4.86775e15 | + | 8.43119e15i | 0.409579 | + | 0.709412i | ||||
\(838\) | 2.25936e15 | − | 3.91333e15i | 0.188861 | − | 0.327118i | ||||
\(839\) | 1.37327e16 | 1.14042 | 0.570211 | − | 0.821498i | \(-0.306861\pi\) | ||||
0.570211 | + | 0.821498i | \(0.306861\pi\) | |||||||
\(840\) | 1.00002e15 | − | 1.01862e16i | 0.0825039 | − | 0.840383i | ||||
\(841\) | −5.03388e14 | −0.0412596 | ||||||||
\(842\) | 6.52935e15 | − | 1.13092e16i | 0.531684 | − | 0.920904i | ||||
\(843\) | −4.21558e15 | − | 7.30159e15i | −0.341040 | − | 0.590699i | ||||
\(844\) | 5.91782e15 | + | 1.02500e16i | 0.475640 | + | 0.823833i | ||||
\(845\) | −3.75158e15 | + | 6.49793e15i | −0.299573 | + | 0.518876i | ||||
\(846\) | −3.36461e15 | −0.266930 | ||||||||
\(847\) | 1.04482e14 | + | 7.48211e13i | 0.00823537 | + | 0.00589747i | ||||
\(848\) | 4.74413e14 | 0.0371518 | ||||||||
\(849\) | −7.45731e15 | + | 1.29164e16i | −0.580216 | + | 1.00496i | ||||
\(850\) | 1.85644e15 | + | 3.21545e15i | 0.143508 | + | 0.248563i | ||||
\(851\) | 4.55546e15 | + | 7.89029e15i | 0.349881 | + | 0.606011i | ||||
\(852\) | 1.55051e15 | − | 2.68556e15i | 0.118319 | − | 0.204935i | ||||
\(853\) | 1.09276e15 | 0.0828525 | 0.0414263 | − | 0.999142i | \(-0.486810\pi\) | ||||
0.0414263 | + | 0.999142i | \(0.486810\pi\) | |||||||
\(854\) | −1.27998e16 | + | 5.80438e15i | −0.964242 | + | 0.437258i | ||||
\(855\) | −5.13803e15 | −0.384577 | ||||||||
\(856\) | −1.16376e15 | + | 2.01569e15i | −0.0865479 | + | 0.149905i | ||||
\(857\) | −2.46617e15 | − | 4.27153e15i | −0.182234 | − | 0.315638i | 0.760407 | − | 0.649447i | \(-0.224999\pi\) |
−0.942641 | + | 0.333809i | \(0.891666\pi\) | |||||||
\(858\) | 5.04331e15 | + | 8.73526e15i | 0.370284 | + | 0.641351i | ||||
\(859\) | 1.29644e16 | − | 2.24550e16i | 0.945778 | − | 1.63814i | 0.191592 | − | 0.981475i | \(-0.438635\pi\) |
0.754186 | − | 0.656661i | \(-0.228032\pi\) | |||||||
\(860\) | 2.60966e15 | 0.189166 | ||||||||
\(861\) | 2.71193e16 | − | 1.22979e16i | 1.95327 | − | 0.885753i | ||||
\(862\) | −9.64073e15 | −0.689954 | ||||||||
\(863\) | −6.96822e15 | + | 1.20693e16i | −0.495521 | + | 0.858268i | −0.999987 | − | 0.00516371i | \(-0.998356\pi\) |
0.504465 | + | 0.863432i | \(0.331690\pi\) | |||||||
\(864\) | −6.49748e14 | − | 1.12540e15i | −0.0459113 | − | 0.0795206i | ||||
\(865\) | 9.59436e15 | + | 1.66179e16i | 0.673640 | + | 1.16678i | ||||
\(866\) | −2.08420e14 | + | 3.60994e14i | −0.0145409 | + | 0.0251855i | ||||
\(867\) | 1.77306e16 | 1.22919 | ||||||||
\(868\) | −9.30633e15 | − | 6.66440e15i | −0.641092 | − | 0.459095i | ||||
\(869\) | 8.40997e15 | 0.575686 | ||||||||
\(870\) | 1.21553e16 | − | 2.10536e16i | 0.826819 | − | 1.43209i | ||||
\(871\) | 1.05734e16 | + | 1.83137e16i | 0.714685 | + | 1.23787i | ||||
\(872\) | −7.71053e13 | − | 1.33550e14i | −0.00517897 | − | 0.00897024i | ||||
\(873\) | 6.96874e15 | − | 1.20702e16i | 0.465132 | − | 0.805632i | ||||
\(874\) | 2.69159e15 | 0.178523 | ||||||||
\(875\) | −4.47507e15 | + | 4.55830e16i | −0.294955 | + | 3.00440i | ||||
\(876\) | −5.23315e15 | −0.342760 | ||||||||
\(877\) | −1.17094e15 | + | 2.02813e15i | −0.0762145 | + | 0.132007i | −0.901614 | − | 0.432542i | \(-0.857617\pi\) |
0.825399 | + | 0.564549i | \(0.190950\pi\) | |||||||
\(878\) | −7.89915e15 | − | 1.36817e16i | −0.510929 | − | 0.884955i | ||||
\(879\) | −1.01352e16 | − | 1.75546e16i | −0.651466 | − | 1.12837i | ||||
\(880\) | 3.72789e15 | − | 6.45689e15i | 0.238127 | − | 0.412448i | ||||
\(881\) | −3.04179e16 | −1.93091 | −0.965456 | − | 0.260567i | \(-0.916091\pi\) | ||||
−0.965456 | + | 0.260567i | \(0.916091\pi\) | |||||||
\(882\) | 2.12168e15 | + | 6.23738e15i | 0.133845 | + | 0.393482i | ||||
\(883\) | −7.32437e15 | −0.459184 | −0.229592 | − | 0.973287i | \(-0.573739\pi\) | ||||
−0.229592 | + | 0.973287i | \(0.573739\pi\) | |||||||
\(884\) | 5.19512e14 | − | 8.99820e14i | 0.0323674 | − | 0.0560620i | ||||
\(885\) | 1.27399e16 | + | 2.20662e16i | 0.788821 | + | 1.36628i | ||||
\(886\) | 1.16876e15 | + | 2.02436e15i | 0.0719185 | + | 0.124567i | ||||
\(887\) | −1.04579e16 | + | 1.81136e16i | −0.639533 | + | 1.10770i | 0.346002 | + | 0.938234i | \(0.387539\pi\) |
−0.985535 | + | 0.169471i | \(0.945794\pi\) | |||||||
\(888\) | 7.01326e15 | 0.426234 | ||||||||
\(889\) | −1.22802e15 | + | 1.25086e16i | −0.0741730 | + | 0.755525i | ||||
\(890\) | 2.06262e16 | 1.23816 | ||||||||
\(891\) | 1.04643e16 | − | 1.81247e16i | 0.624285 | − | 1.08129i | ||||
\(892\) | −1.70652e15 | − | 2.95578e15i | −0.101182 | − | 0.175253i | ||||
\(893\) | 1.88109e15 | + | 3.25815e15i | 0.110848 | + | 0.191994i | ||||
\(894\) | −1.07660e14 | + | 1.86473e14i | −0.00630520 | + | 0.0109209i | ||||
\(895\) | 3.43879e16 | 2.00161 | ||||||||
\(896\) | 1.24221e15 | + | 8.89565e14i | 0.0718623 | + | 0.0514617i | ||||
\(897\) | −1.32557e16 | −0.762156 | ||||||||
\(898\) | −8.96496e15 | + | 1.55278e16i | −0.512305 | + | 0.887338i | ||||
\(899\) | −1.35939e16 | − | 2.35452e16i | −0.772084 | − | 1.33729i | ||||
\(900\) | −6.74900e15 | − | 1.16896e16i | −0.380983 | − | 0.659882i | ||||
\(901\) | 2.07332e14 | − | 3.59110e14i | 0.0116327 | − | 0.0201484i | ||||
\(902\) | 2.16912e16 | 1.20962 | ||||||||
\(903\) | −4.13268e15 | + | 1.87406e15i | −0.229060 | + | 0.103872i | ||||
\(904\) | 2.26643e15 | 0.124858 | ||||||||
\(905\) | 1.49508e16 | − | 2.58956e16i | 0.818649 | − | 1.41794i | ||||
\(906\) | −4.48459e15 | − | 7.76753e15i | −0.244072 | − | 0.422744i | ||||
\(907\) | −5.20878e15 | − | 9.02187e15i | −0.281771 | − | 0.488041i | 0.690050 | − | 0.723761i | \(-0.257588\pi\) |
−0.971821 | + | 0.235720i | \(0.924255\pi\) | |||||||
\(908\) | −3.62804e15 | + | 6.28395e15i | −0.195074 | + | 0.337879i | ||||
\(909\) | −2.62898e15 | −0.140503 | ||||||||
\(910\) | 1.90025e16 | − | 8.61712e15i | 1.00945 | − | 0.457756i | ||||
\(911\) | 3.31593e16 | 1.75087 | 0.875435 | − | 0.483335i | \(-0.160575\pi\) | ||||
0.875435 | + | 0.483335i | \(0.160575\pi\) | |||||||
\(912\) | 1.03594e15 | − | 1.79430e15i | 0.0543705 | − | 0.0941726i | ||||
\(913\) | −2.95882e15 | − | 5.12483e15i | −0.154358 | − | 0.267356i | ||||
\(914\) | −5.77231e15 | − | 9.99794e15i | −0.299327 | − | 0.518450i | ||||
\(915\) | −3.46897e16 | + | 6.00843e16i | −1.78807 | + | 3.09703i | ||||
\(916\) | 7.34612e15 | 0.376386 | ||||||||
\(917\) | −2.64127e16 | − | 1.89145e16i | −1.34518 | − | 0.963306i | ||||
\(918\) | −1.13583e15 | −0.0575017 | ||||||||
\(919\) | −2.31162e14 | + | 4.00385e14i | −0.0116327 | + | 0.0201485i | −0.871783 | − | 0.489892i | \(-0.837036\pi\) |
0.860150 | + | 0.510040i | \(0.170370\pi\) | |||||||
\(920\) | 4.89914e15 | + | 8.48556e15i | 0.245068 | + | 0.424470i | ||||
\(921\) | −1.39329e16 | − | 2.41325e16i | −0.692809 | − | 1.19998i | ||||
\(922\) | 1.10546e16 | − | 1.91472e16i | 0.546418 | − | 0.946424i | ||||
\(923\) | 6.32160e15 | 0.310612 | ||||||||
\(924\) | −1.26667e15 | + | 1.29023e16i | −0.0618683 | + | 0.630189i | ||||
\(925\) | −5.10891e16 | −2.48055 | ||||||||
\(926\) | −1.57005e15 | + | 2.71941e15i | −0.0757799 | + | 0.131255i | ||||
\(927\) | −4.48463e15 | − | 7.76761e15i | −0.215173 | − | 0.372691i | ||||
\(928\) | 1.81451e15 | + | 3.14282e15i | 0.0865457 | + | 0.149902i | ||||
\(929\) | 1.18527e16 | − | 2.05295e16i | 0.561994 | − | 0.973401i | −0.435329 | − | 0.900271i | \(-0.643368\pi\) |
0.997322 | − | 0.0731299i | \(-0.0232988\pi\) | |||||||
\(930\) | −5.65054e16 | −2.66338 | ||||||||
\(931\) | 4.85382e15 | − | 5.54174e15i | 0.227437 | − | 0.259671i | ||||
\(932\) | 5.24975e15 | 0.244541 | ||||||||
\(933\) | −2.10676e15 | + | 3.64901e15i | −0.0975585 | + | 0.168976i | ||||
\(934\) | 4.80509e14 | + | 8.32265e14i | 0.0221204 | + | 0.0383137i | ||||
\(935\) | −3.25839e15 | − | 5.64370e15i | −0.149121 | − | 0.258286i | ||||
\(936\) | −1.88866e15 | + | 3.27125e15i | −0.0859284 | + | 0.148832i | ||||
\(937\) | −2.10718e16 | −0.953088 | −0.476544 | − | 0.879150i | \(-0.658111\pi\) | ||||
−0.476544 | + | 0.879150i | \(0.658111\pi\) | |||||||
\(938\) | −2.65560e15 | + | 2.70499e16i | −0.119412 | + | 1.21633i | ||||
\(939\) | 2.47473e16 | 1.10629 | ||||||||
\(940\) | −6.84781e15 | + | 1.18607e16i | −0.304332 | + | 0.527119i | ||||
\(941\) | 1.09949e16 | + | 1.90438e16i | 0.485790 | + | 0.841414i | 0.999867 | − | 0.0163307i | \(-0.00519847\pi\) |
−0.514076 | + | 0.857745i | \(0.671865\pi\) | |||||||
\(942\) | −9.10356e15 | − | 1.57678e16i | −0.399882 | − | 0.692615i | ||||
\(943\) | −1.42531e16 | + | 2.46872e16i | −0.622438 | + | 1.07810i | ||||
\(944\) | −3.80355e15 | −0.165137 | ||||||||
\(945\) | −1.85445e16 | − | 1.32800e16i | −0.800462 | − | 0.573222i | ||||
\(946\) | −3.30550e15 | −0.141852 | ||||||||
\(947\) | 2.75768e14 | − | 4.77644e14i | 0.0117657 | − | 0.0203788i | −0.860083 | − | 0.510155i | \(-0.829588\pi\) |
0.871848 | + | 0.489776i | \(0.162921\pi\) | |||||||
\(948\) | 4.25381e15 | + | 7.36782e15i | 0.180440 | + | 0.312531i | ||||
\(949\) | −5.33404e15 | − | 9.23883e15i | −0.224953 | − | 0.389630i | ||||
\(950\) | −7.54647e15 | + | 1.30709e16i | −0.316420 | + | 0.548056i | ||||
\(951\) | 4.37293e16 | 1.82297 | ||||||||
\(952\) | 1.21624e15 | − | 5.51534e14i | 0.0504101 | − | 0.0228596i | ||||
\(953\) | 3.68726e16 | 1.51947 | 0.759736 | − | 0.650232i | \(-0.225328\pi\) | ||||
0.759736 | + | 0.650232i | \(0.225328\pi\) | |||||||
\(954\) | −7.53747e14 | + | 1.30553e15i | −0.0308823 | + | 0.0534897i | ||||
\(955\) | 1.96529e16 | + | 3.40398e16i | 0.800586 | + | 1.38666i | ||||
\(956\) | −6.22661e15 | − | 1.07848e16i | −0.252193 | − | 0.436811i | ||||
\(957\) | −1.53964e16 | + | 2.66674e16i | −0.620018 | + | 1.07390i | ||||
\(958\) | 2.57068e16 | 1.02929 | ||||||||
\(959\) | −1.65526e16 | + | 7.50617e15i | −0.658969 | + | 0.298824i | ||||
\(960\) | 7.54235e15 | 0.298549 | ||||||||
\(961\) | −1.88921e16 | + | 3.27220e16i | −0.743534 | + | 1.28784i | ||||
\(962\) | 7.14847e15 | + | 1.23815e16i | 0.279737 | + | 0.484519i | ||||
\(963\) | −3.69795e15 | − | 6.40503e15i | −0.143885 | − | 0.249216i | ||||
\(964\) | −5.93929e15 | + | 1.02872e16i | −0.229779 | + | 0.397989i | ||||
\(965\) | 6.52330e16 | 2.50938 | ||||||||
\(966\) | −1.38520e16 | − | 9.91962e15i | −0.529832 | − | 0.379420i | ||||
\(967\) | −4.62899e16 | −1.76052 | −0.880260 | − | 0.474492i | \(-0.842632\pi\) | ||||
−0.880260 | + | 0.474492i | \(0.842632\pi\) | |||||||
\(968\) | −4.73496e13 | + | 8.20119e13i | −0.00179061 | + | 0.00310143i | ||||
\(969\) | −9.05473e14 | − | 1.56833e15i | −0.0340482 | − | 0.0589733i | ||||
\(970\) | −2.83662e16 | − | 4.91317e16i | −1.06061 | − | 1.83703i | ||||
\(971\) | 2.55588e16 | − | 4.42692e16i | 0.950244 | − | 1.64587i | 0.205350 | − | 0.978689i | \(-0.434167\pi\) |
0.744894 | − | 0.667183i | \(-0.232500\pi\) | |||||||
\(972\) | 1.41464e16 | 0.522977 | ||||||||
\(973\) | −1.42316e15 | + | 1.44963e16i | −0.0523159 | + | 0.532889i | ||||
\(974\) | 2.49441e15 | 0.0911789 | ||||||||
\(975\) | 3.71653e16 | − | 6.43722e16i | 1.35087 | − | 2.33977i | ||||
\(976\) | −5.17837e15 | − | 8.96921e15i | −0.187163 | − | 0.324175i | ||||
\(977\) | −1.08836e16 | − | 1.88510e16i | −0.391160 | − | 0.677509i | 0.601443 | − | 0.798916i | \(-0.294593\pi\) |
−0.992603 | + | 0.121407i | \(0.961259\pi\) | |||||||
\(978\) | −4.42046e15 | + | 7.65646e15i | −0.157981 | + | 0.273630i | ||||
\(979\) | −2.61260e16 | −0.928472 | ||||||||
\(980\) | 2.63058e16 | + | 5.21536e15i | 0.929625 | + | 0.184307i | ||||
\(981\) | 4.90019e14 | 0.0172200 | ||||||||
\(982\) | −5.95927e15 | + | 1.03218e16i | −0.208247 | + | 0.360695i | ||||
\(983\) | −1.12235e16 | − | 1.94396e16i | −0.390017 | − | 0.675529i | 0.602435 | − | 0.798168i | \(-0.294197\pi\) |
−0.992451 | + | 0.122640i | \(0.960864\pi\) | |||||||
\(984\) | 1.09715e16 | + | 1.90033e16i | 0.379136 | + | 0.656683i | ||||
\(985\) | 2.13006e16 | − | 3.68937e16i | 0.731968 | − | 1.26781i | ||||
\(986\) | 3.17197e15 | 0.108394 | ||||||||
\(987\) | 2.32676e15 | − | 2.37004e16i | 0.0790693 | − | 0.805398i | ||||
\(988\) | 4.22366e15 | 0.142733 | ||||||||
\(989\) | 2.17202e15 | − | 3.76205e15i | 0.0729935 | − | 0.126428i | ||||
\(990\) | 1.18457e16 | + | 2.05174e16i | 0.395884 | + | 0.685691i | ||||
\(991\) | 2.96899e14 | + | 5.14244e14i | 0.00986741 | + | 0.0170909i | 0.870917 | − | 0.491430i | \(-0.163526\pi\) |
−0.861050 | + | 0.508521i | \(0.830192\pi\) | |||||||
\(992\) | 4.21748e15 | − | 7.30489e15i | 0.139392 | − | 0.241435i | ||||
\(993\) | 2.74312e16 | 0.901622 | ||||||||
\(994\) | 6.60599e15 | + | 4.73064e15i | 0.215930 | + | 0.154630i | ||||
\(995\) | −3.94817e16 | −1.28342 | ||||||||
\(996\) | 2.99318e15 | − | 5.18433e15i | 0.0967623 | − | 0.167597i | ||||
\(997\) | 2.07585e16 | + | 3.59547e16i | 0.667379 | + | 1.15593i | 0.978635 | + | 0.205607i | \(0.0659170\pi\) |
−0.311256 | + | 0.950326i | \(0.600750\pi\) | |||||||
\(998\) | 1.79014e16 | + | 3.10062e16i | 0.572361 | + | 0.991358i | ||||
\(999\) | 7.81453e15 | − | 1.35352e16i | 0.248481 | − | 0.430381i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 14.12.c.a.9.4 | ✓ | 8 | |
3.2 | odd | 2 | 126.12.g.e.37.1 | 8 | |||
4.3 | odd | 2 | 112.12.i.a.65.1 | 8 | |||
7.2 | even | 3 | 98.12.a.j.1.1 | 4 | |||
7.3 | odd | 6 | 98.12.c.l.67.1 | 8 | |||
7.4 | even | 3 | inner | 14.12.c.a.11.4 | yes | 8 | |
7.5 | odd | 6 | 98.12.a.l.1.4 | 4 | |||
7.6 | odd | 2 | 98.12.c.l.79.1 | 8 | |||
21.11 | odd | 6 | 126.12.g.e.109.1 | 8 | |||
28.11 | odd | 6 | 112.12.i.a.81.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.12.c.a.9.4 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.12.c.a.11.4 | yes | 8 | 7.4 | even | 3 | inner | |
98.12.a.j.1.1 | 4 | 7.2 | even | 3 | |||
98.12.a.l.1.4 | 4 | 7.5 | odd | 6 | |||
98.12.c.l.67.1 | 8 | 7.3 | odd | 6 | |||
98.12.c.l.79.1 | 8 | 7.6 | odd | 2 | |||
112.12.i.a.65.1 | 8 | 4.3 | odd | 2 | |||
112.12.i.a.81.1 | 8 | 28.11 | odd | 6 | |||
126.12.g.e.37.1 | 8 | 3.2 | odd | 2 | |||
126.12.g.e.109.1 | 8 | 21.11 | odd | 6 |