Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,14,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(17.1569486323\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(25\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.14.e.a.13.3 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −85.7364 | − | 29.0046i | −0.947262 | − | 0.320459i | ||||
\(3\) | −924.404 | + | 924.404i | −0.732105 | + | 0.732105i | −0.971037 | − | 0.238931i | \(-0.923203\pi\) |
0.238931 | + | 0.971037i | \(0.423203\pi\) | |||||||
\(4\) | 6509.46 | + | 4973.51i | 0.794612 | + | 0.607118i | ||||
\(5\) | 42023.8 | + | 42023.8i | 1.20279 | + | 1.20279i | 0.973314 | + | 0.229478i | \(0.0737018\pi\) |
0.229478 | + | 0.973314i | \(0.426298\pi\) | |||||||
\(6\) | 106067. | − | 52443.1i | 0.928106 | − | 0.458886i | ||||
\(7\) | − | 291398.i | − | 0.936159i | −0.883686 | − | 0.468080i | \(-0.844946\pi\) | ||
0.883686 | − | 0.468080i | \(-0.155054\pi\) | |||||||
\(8\) | −413843. | − | 615215.i | −0.558150 | − | 0.829740i | ||||
\(9\) | − | 114722.i | − | 0.0719565i | ||||||
\(10\) | −2.38408e6 | − | 4.82186e6i | −0.753914 | − | 1.52480i | ||||
\(11\) | 4.32527e6 | + | 4.32527e6i | 0.736141 | + | 0.736141i | 0.971829 | − | 0.235688i | \(-0.0757344\pi\) |
−0.235688 | + | 0.971829i | \(0.575734\pi\) | |||||||
\(12\) | −1.06149e7 | + | 1.41984e6i | −1.02621 | + | 0.137266i | ||||
\(13\) | 1.83053e7 | − | 1.83053e7i | 1.05183 | − | 1.05183i | 0.0532455 | − | 0.998581i | \(-0.483043\pi\) |
0.998581 | − | 0.0532455i | \(-0.0169566\pi\) | |||||||
\(14\) | −8.45191e6 | + | 2.49834e7i | −0.300001 | + | 0.886789i | ||||
\(15\) | −7.76939e7 | −1.76114 | ||||||||
\(16\) | 1.76373e7 | + | 6.47497e7i | 0.262816 | + | 0.964846i | ||||
\(17\) | 1.06181e8 | 1.06691 | 0.533457 | − | 0.845827i | \(-0.320893\pi\) | ||||
0.533457 | + | 0.845827i | \(0.320893\pi\) | |||||||
\(18\) | −3.32747e6 | + | 9.83584e6i | −0.0230591 | + | 0.0681617i | ||||
\(19\) | 5.47438e7 | − | 5.47438e7i | 0.266954 | − | 0.266954i | −0.560918 | − | 0.827872i | \(-0.689552\pi\) |
0.827872 | + | 0.560918i | \(0.189552\pi\) | |||||||
\(20\) | 6.45466e7 | + | 4.82558e8i | 0.225517 | + | 1.68599i | ||||
\(21\) | 2.69370e8 | + | 2.69370e8i | 0.685367 | + | 0.685367i | ||||
\(22\) | −2.45380e8 | − | 4.96286e8i | −0.461415 | − | 0.933221i | ||||
\(23\) | 1.00034e9i | 1.40902i | 0.709692 | + | 0.704512i | \(0.248834\pi\) | ||||
−0.709692 | + | 0.704512i | \(0.751166\pi\) | |||||||
\(24\) | 9.51265e8 | + | 1.86149e8i | 1.01608 | + | 0.198833i | ||||
\(25\) | 2.31130e9i | 1.89342i | ||||||||
\(26\) | −2.10037e9 | + | 1.03849e9i | −1.33342 | + | 0.659289i | ||||
\(27\) | −1.36775e9 | − | 1.36775e9i | −0.679426 | − | 0.679426i | ||||
\(28\) | 1.44927e9 | − | 1.89685e9i | 0.568359 | − | 0.743884i | ||||
\(29\) | −1.19882e9 | + | 1.19882e9i | −0.374254 | + | 0.374254i | −0.869024 | − | 0.494770i | \(-0.835252\pi\) |
0.494770 | + | 0.869024i | \(0.335252\pi\) | |||||||
\(30\) | 6.66120e9 | + | 2.25348e9i | 1.66826 | + | 0.564373i | ||||
\(31\) | −1.72398e9 | −0.348883 | −0.174442 | − | 0.984668i | \(-0.555812\pi\) | ||||
−0.174442 | + | 0.984668i | \(0.555812\pi\) | |||||||
\(32\) | 3.65883e8 | − | 6.06297e9i | 0.0602375 | − | 0.998184i | ||||
\(33\) | −7.99659e9 | −1.07787 | ||||||||
\(34\) | −9.10358e9 | − | 3.07974e9i | −1.01065 | − | 0.341902i | ||||
\(35\) | 1.22457e10 | − | 1.22457e10i | 1.12600 | − | 1.12600i | ||||
\(36\) | 5.70570e8 | − | 7.46778e8i | 0.0436860 | − | 0.0571775i | ||||
\(37\) | 1.50899e10 | + | 1.50899e10i | 0.966888 | + | 0.966888i | 0.999469 | − | 0.0325811i | \(-0.0103727\pi\) |
−0.0325811 | + | 0.999469i | \(0.510373\pi\) | |||||||
\(38\) | −6.28136e9 | + | 3.10571e9i | −0.338423 | + | 0.167328i | ||||
\(39\) | 3.38429e10i | 1.54010i | ||||||||
\(40\) | 8.46243e9 | − | 4.32449e10i | 0.326667 | − | 1.66934i | ||||
\(41\) | 1.44847e10i | 0.476227i | 0.971237 | + | 0.238114i | \(0.0765290\pi\) | ||||
−0.971237 | + | 0.238114i | \(0.923471\pi\) | |||||||
\(42\) | −1.52818e10 | − | 3.09078e10i | −0.429591 | − | 0.868855i | ||||
\(43\) | −3.22186e10 | − | 3.22186e10i | −0.777252 | − | 0.777252i | 0.202110 | − | 0.979363i | \(-0.435220\pi\) |
−0.979363 | + | 0.202110i | \(0.935220\pi\) | |||||||
\(44\) | 6.64342e9 | + | 4.96669e10i | 0.138022 | + | 1.03187i | ||||
\(45\) | 4.82105e9 | − | 4.82105e9i | 0.0865486 | − | 0.0865486i | ||||
\(46\) | 2.90146e10 | − | 8.57658e10i | 0.451534 | − | 1.33471i | ||||
\(47\) | −2.71199e10 | −0.366989 | −0.183494 | − | 0.983021i | \(-0.558741\pi\) | ||||
−0.183494 | + | 0.983021i | \(0.558741\pi\) | |||||||
\(48\) | −7.61589e10 | − | 4.35509e10i | −0.898778 | − | 0.513960i | ||||
\(49\) | 1.19760e10 | 0.123605 | ||||||||
\(50\) | 6.70384e10 | − | 1.98162e11i | 0.606762 | − | 1.79356i | ||||
\(51\) | −9.81542e10 | + | 9.81542e10i | −0.781093 | + | 0.781093i | ||||
\(52\) | 2.10199e11 | − | 2.81160e10i | 1.47438 | − | 0.197212i | ||||
\(53\) | −6.71571e9 | − | 6.71571e9i | −0.0416197 | − | 0.0416197i | 0.685991 | − | 0.727610i | \(-0.259369\pi\) |
−0.727610 | + | 0.685991i | \(0.759369\pi\) | |||||||
\(54\) | 7.75948e10 | + | 1.56937e11i | 0.425866 | + | 0.861322i | ||||
\(55\) | 3.63529e11i | 1.77085i | ||||||||
\(56\) | −1.79273e11 | + | 1.20593e11i | −0.776769 | + | 0.522517i | ||||
\(57\) | 1.01211e11i | 0.390877i | ||||||||
\(58\) | 1.37554e11 | − | 6.80111e10i | 0.474450 | − | 0.234584i | ||||
\(59\) | 1.48641e11 | + | 1.48641e11i | 0.458776 | + | 0.458776i | 0.898253 | − | 0.439478i | \(-0.144837\pi\) |
−0.439478 | + | 0.898253i | \(0.644837\pi\) | |||||||
\(60\) | −5.05746e11 | − | 3.86411e11i | −1.39942 | − | 1.06922i | ||||
\(61\) | −5.33654e11 | + | 5.33654e11i | −1.32622 | + | 1.32622i | −0.417580 | + | 0.908640i | \(0.637122\pi\) |
−0.908640 | + | 0.417580i | \(0.862878\pi\) | |||||||
\(62\) | 1.47808e11 | + | 5.00033e10i | 0.330484 | + | 0.111803i | ||||
\(63\) | −3.34298e10 | −0.0673627 | ||||||||
\(64\) | −2.07224e11 | + | 5.09205e11i | −0.376938 | + | 0.926239i | ||||
\(65\) | 1.53851e12 | 2.53026 | ||||||||
\(66\) | 6.85599e11 | + | 2.31938e11i | 1.02102 | + | 0.345412i | ||||
\(67\) | 4.15581e11 | − | 4.15581e11i | 0.561267 | − | 0.561267i | −0.368400 | − | 0.929667i | \(-0.620094\pi\) |
0.929667 | + | 0.368400i | \(0.120094\pi\) | |||||||
\(68\) | 6.91181e11 | + | 5.28092e11i | 0.847782 | + | 0.647742i | ||||
\(69\) | −9.24721e11 | − | 9.24721e11i | −1.03155 | − | 1.03155i | ||||
\(70\) | −1.40508e12 | + | 6.94718e11i | −1.42746 | + | 0.705783i | ||||
\(71\) | − | 1.42662e12i | − | 1.32168i | −0.750525 | − | 0.660842i | \(-0.770199\pi\) | ||
0.750525 | − | 0.660842i | \(-0.229801\pi\) | |||||||
\(72\) | −7.05786e10 | + | 4.74768e10i | −0.0597052 | + | 0.0401625i | ||||
\(73\) | 9.89656e11i | 0.765395i | 0.923874 | + | 0.382698i | \(0.125005\pi\) | ||||
−0.923874 | + | 0.382698i | \(0.874995\pi\) | |||||||
\(74\) | −8.56079e11 | − | 1.73143e12i | −0.606049 | − | 1.22574i | ||||
\(75\) | −2.13657e12 | − | 2.13657e12i | −1.38618 | − | 1.38618i | ||||
\(76\) | 6.28621e11 | − | 8.40839e10i | 0.374197 | − | 0.0500523i | ||||
\(77\) | 1.26038e12 | − | 1.26038e12i | 0.689145 | − | 0.689145i | ||||
\(78\) | 9.81602e11 | − | 2.90157e12i | 0.493538 | − | 1.45888i | ||||
\(79\) | −2.98138e12 | −1.37988 | −0.689941 | − | 0.723866i | \(-0.742363\pi\) | ||||
−0.689941 | + | 0.723866i | \(0.742363\pi\) | |||||||
\(80\) | −1.97984e12 | + | 3.46222e12i | −0.844395 | + | 1.47662i | ||||
\(81\) | 2.71161e12 | 1.06678 | ||||||||
\(82\) | 4.20123e11 | − | 1.24187e12i | 0.152611 | − | 0.451112i | ||||
\(83\) | −2.36903e10 | + | 2.36903e10i | −0.00795358 | + | 0.00795358i | −0.711072 | − | 0.703119i | \(-0.751790\pi\) |
0.703119 | + | 0.711072i | \(0.251790\pi\) | |||||||
\(84\) | 4.13740e11 | + | 3.09316e12i | 0.128503 | + | 0.960700i | ||||
\(85\) | 4.46213e12 | + | 4.46213e12i | 1.28327 | + | 1.28327i | ||||
\(86\) | 1.82782e12 | + | 3.69680e12i | 0.487184 | + | 0.985339i | ||||
\(87\) | − | 2.21639e12i | − | 0.547987i | ||||||
\(88\) | 8.70990e11 | − | 4.45096e12i | 0.199929 | − | 1.02168i | ||||
\(89\) | − | 3.85073e12i | − | 0.821312i | −0.911790 | − | 0.410656i | \(-0.865300\pi\) | ||
0.911790 | − | 0.410656i | \(-0.134700\pi\) | |||||||
\(90\) | −5.53172e11 | + | 2.73507e11i | −0.109720 | + | 0.0542490i | ||||
\(91\) | −5.33413e12 | − | 5.33413e12i | −0.984678 | − | 0.984678i | ||||
\(92\) | −4.97522e12 | + | 6.51170e12i | −0.855443 | + | 1.11963i | ||||
\(93\) | 1.59365e12 | − | 1.59365e12i | 0.255419 | − | 0.255419i | ||||
\(94\) | 2.32517e12 | + | 7.86604e11i | 0.347635 | + | 0.117605i | ||||
\(95\) | 4.60108e12 | 0.642180 | ||||||||
\(96\) | 5.26641e12 | + | 5.94286e12i | 0.686676 | + | 0.774876i | ||||
\(97\) | −8.08912e12 | −0.986018 | −0.493009 | − | 0.870024i | \(-0.664103\pi\) | ||||
−0.493009 | + | 0.870024i | \(0.664103\pi\) | |||||||
\(98\) | −1.02678e12 | − | 3.47360e11i | −0.117087 | − | 0.0396105i | ||||
\(99\) | 4.96203e11 | − | 4.96203e11i | 0.0529701 | − | 0.0529701i | ||||
\(100\) | −1.14953e13 | + | 1.50453e13i | −1.14953 | + | 1.50453i | ||||
\(101\) | 6.39323e12 | + | 6.39323e12i | 0.599282 | + | 0.599282i | 0.940122 | − | 0.340839i | \(-0.110711\pi\) |
−0.340839 | + | 0.940122i | \(0.610711\pi\) | |||||||
\(102\) | 1.12623e13 | − | 5.56846e12i | 0.990208 | − | 0.489591i | ||||
\(103\) | 3.09837e11i | 0.0255677i | 0.999918 | + | 0.0127838i | \(0.00406933\pi\) | ||||
−0.999918 | + | 0.0127838i | \(0.995931\pi\) | |||||||
\(104\) | −1.88372e13 | − | 3.68617e12i | −1.45982 | − | 0.285666i | ||||
\(105\) | 2.26399e13i | 1.64871i | ||||||||
\(106\) | 3.80994e11 | + | 7.70567e11i | 0.0260873 | + | 0.0527621i | ||||
\(107\) | 9.90971e12 | + | 9.90971e12i | 0.638361 | + | 0.638361i | 0.950151 | − | 0.311790i | \(-0.100929\pi\) |
−0.311790 | + | 0.950151i | \(0.600929\pi\) | |||||||
\(108\) | −2.10080e12 | − | 1.57058e13i | −0.127388 | − | 0.952371i | ||||
\(109\) | 1.52268e13 | − | 1.52268e13i | 0.869634 | − | 0.869634i | −0.122798 | − | 0.992432i | \(-0.539187\pi\) |
0.992432 | + | 0.122798i | \(0.0391866\pi\) | |||||||
\(110\) | 1.05440e13 | − | 3.11676e13i | 0.567484 | − | 1.67746i | ||||
\(111\) | −2.78984e13 | −1.41573 | ||||||||
\(112\) | 1.88680e13 | − | 5.13948e12i | 0.903250 | − | 0.246038i | ||||
\(113\) | 1.94386e13 | 0.878326 | 0.439163 | − | 0.898407i | \(-0.355275\pi\) | ||||
0.439163 | + | 0.898407i | \(0.355275\pi\) | |||||||
\(114\) | 2.93558e12 | − | 8.67744e12i | 0.125260 | − | 0.370263i | ||||
\(115\) | −4.20382e13 | + | 4.20382e13i | −1.69476 | + | 1.69476i | ||||
\(116\) | −1.37660e13 | + | 1.84133e12i | −0.524603 | + | 0.0701705i | ||||
\(117\) | −2.10001e12 | − | 2.10001e12i | −0.0756858 | − | 0.0756858i | ||||
\(118\) | −8.43266e12 | − | 1.70552e13i | −0.287562 | − | 0.581600i | ||||
\(119\) | − | 3.09410e13i | − | 0.998801i | ||||||
\(120\) | 3.21531e13 | + | 4.77985e13i | 0.982980 | + | 1.46129i | ||||
\(121\) | 2.89322e12i | 0.0838062i | ||||||||
\(122\) | 6.12320e13 | − | 3.02751e13i | 1.68128 | − | 0.831279i | ||||
\(123\) | −1.33897e13 | − | 1.33897e13i | −0.348648 | − | 0.348648i | ||||
\(124\) | −1.12222e13 | − | 8.57421e12i | −0.277227 | − | 0.211813i | ||||
\(125\) | −4.58309e13 | + | 4.58309e13i | −1.07459 | + | 1.07459i | ||||
\(126\) | 2.86615e12 | + | 9.69618e11i | 0.0638102 | + | 0.0215870i | ||||
\(127\) | 3.12369e13 | 0.660609 | 0.330304 | − | 0.943874i | \(-0.392849\pi\) | ||||
0.330304 | + | 0.943874i | \(0.392849\pi\) | |||||||
\(128\) | 3.25359e13 | − | 3.76470e13i | 0.653881 | − | 0.756598i | ||||
\(129\) | 5.95660e13 | 1.13806 | ||||||||
\(130\) | −1.31907e14 | − | 4.46241e13i | −2.39682 | − | 0.810844i | ||||
\(131\) | −6.22998e12 | + | 6.22998e12i | −0.107702 | + | 0.107702i | −0.758904 | − | 0.651202i | \(-0.774265\pi\) |
0.651202 | + | 0.758904i | \(0.274265\pi\) | |||||||
\(132\) | −5.20535e13 | − | 3.97711e13i | −0.856484 | − | 0.654391i | ||||
\(133\) | −1.59522e13 | − | 1.59522e13i | −0.249911 | − | 0.249911i | ||||
\(134\) | −4.76842e13 | + | 2.35767e13i | −0.711531 | + | 0.351804i | ||||
\(135\) | − | 1.14956e14i | − | 1.63441i | ||||||
\(136\) | −4.39423e13 | − | 6.53242e13i | −0.595497 | − | 0.885261i | ||||
\(137\) | 7.41395e13i | 0.958001i | 0.877815 | + | 0.479001i | \(0.159001\pi\) | ||||
−0.877815 | + | 0.479001i | \(0.840999\pi\) | |||||||
\(138\) | 5.24611e13 | + | 1.06103e14i | 0.646581 | + | 1.30772i | ||||
\(139\) | 3.82711e13 | + | 3.82711e13i | 0.450065 | + | 0.450065i | 0.895376 | − | 0.445311i | \(-0.146907\pi\) |
−0.445311 | + | 0.895376i | \(0.646907\pi\) | |||||||
\(140\) | 1.40617e14 | − | 1.88088e13i | 1.57835 | − | 0.211120i | ||||
\(141\) | 2.50698e13 | − | 2.50698e13i | 0.268674 | − | 0.268674i | ||||
\(142\) | −4.13785e13 | + | 1.22313e14i | −0.423546 | + | 1.25198i | ||||
\(143\) | 1.58350e14 | 1.54859 | ||||||||
\(144\) | 7.42821e12 | − | 2.02338e12i | 0.0694269 | − | 0.0189113i | ||||
\(145\) | −1.00758e14 | −0.900299 | ||||||||
\(146\) | 2.87046e13 | − | 8.48496e13i | 0.245278 | − | 0.725030i | ||||
\(147\) | −1.10707e13 | + | 1.10707e13i | −0.0904922 | + | 0.0904922i | ||||
\(148\) | 2.31774e13 | + | 1.73277e14i | 0.181286 | + | 1.35532i | ||||
\(149\) | −1.55729e14 | − | 1.55729e14i | −1.16589 | − | 1.16589i | −0.983163 | − | 0.182732i | \(-0.941506\pi\) |
−0.182732 | − | 0.983163i | \(-0.558494\pi\) | |||||||
\(150\) | 1.21212e14 | + | 2.45153e14i | 0.868862 | + | 1.75729i | ||||
\(151\) | 2.42011e14i | 1.66144i | 0.556688 | + | 0.830722i | \(0.312072\pi\) | ||||
−0.556688 | + | 0.830722i | \(0.687928\pi\) | |||||||
\(152\) | −5.63345e13 | − | 1.10239e13i | −0.370503 | − | 0.0725021i | ||||
\(153\) | − | 1.21813e13i | − | 0.0767713i | ||||||
\(154\) | −1.44617e14 | + | 7.15034e13i | −0.873644 | + | 0.431958i | ||||
\(155\) | −7.24481e13 | − | 7.24481e13i | −0.419634 | − | 0.419634i | ||||
\(156\) | −1.68318e14 | + | 2.20299e14i | −0.935020 | + | 1.22378i | ||||
\(157\) | 2.23533e13 | − | 2.23533e13i | 0.119122 | − | 0.119122i | −0.645033 | − | 0.764155i | \(-0.723156\pi\) |
0.764155 | + | 0.645033i | \(0.223156\pi\) | |||||||
\(158\) | 2.55613e14 | + | 8.64740e13i | 1.30711 | + | 0.442195i | ||||
\(159\) | 1.24160e13 | 0.0609400 | ||||||||
\(160\) | 2.70165e14 | − | 2.39413e14i | 1.27306 | − | 1.12815i | ||||
\(161\) | 2.91498e14 | 1.31907 | ||||||||
\(162\) | −2.32484e14 | − | 7.86492e13i | −1.01052 | − | 0.341859i | ||||
\(163\) | 6.71579e13 | − | 6.71579e13i | 0.280464 | − | 0.280464i | −0.552830 | − | 0.833294i | \(-0.686452\pi\) |
0.833294 | + | 0.552830i | \(0.186452\pi\) | |||||||
\(164\) | −7.20397e13 | + | 9.42875e13i | −0.289126 | + | 0.378416i | ||||
\(165\) | −3.36047e14 | − | 3.36047e14i | −1.29645 | − | 1.29645i | ||||
\(166\) | 2.71825e12 | − | 1.34399e12i | 0.0100829 | − | 0.00498533i | ||||
\(167\) | 1.73881e14i | 0.620291i | 0.950689 | + | 0.310145i | \(0.100378\pi\) | ||||
−0.950689 | + | 0.310145i | \(0.899622\pi\) | |||||||
\(168\) | 5.42436e13 | − | 2.77197e14i | 0.186139 | − | 0.951214i | ||||
\(169\) | − | 3.67291e14i | − | 1.21268i | ||||||
\(170\) | −2.53145e14 | − | 5.11990e14i | −0.804360 | − | 1.62683i | ||||
\(171\) | −6.28031e12 | − | 6.28031e12i | −0.0192091 | − | 0.0192091i | ||||
\(172\) | −4.94863e13 | − | 3.69965e14i | −0.145730 | − | 1.08950i | ||||
\(173\) | 1.11847e14 | − | 1.11847e14i | 0.317194 | − | 0.317194i | −0.530494 | − | 0.847688i | \(-0.677994\pi\) |
0.847688 | + | 0.530494i | \(0.177994\pi\) | |||||||
\(174\) | −6.42855e13 | + | 1.90025e14i | −0.175607 | + | 0.519087i | ||||
\(175\) | 6.73508e14 | 1.77254 | ||||||||
\(176\) | −2.03774e14 | + | 3.56346e14i | −0.516792 | + | 0.903732i | ||||
\(177\) | −2.74808e14 | −0.671744 | ||||||||
\(178\) | −1.11689e14 | + | 3.30148e14i | −0.263197 | + | 0.777998i | ||||
\(179\) | −1.09595e14 | + | 1.09595e14i | −0.249027 | + | 0.249027i | −0.820571 | − | 0.571544i | \(-0.806345\pi\) |
0.571544 | + | 0.820571i | \(0.306345\pi\) | |||||||
\(180\) | 5.53600e13 | − | 7.40491e12i | 0.121318 | − | 0.0162274i | ||||
\(181\) | −5.44950e14 | − | 5.44950e14i | −1.15198 | − | 1.15198i | −0.986155 | − | 0.165828i | \(-0.946970\pi\) |
−0.165828 | − | 0.986155i | \(-0.553030\pi\) | |||||||
\(182\) | 3.02614e14 | + | 6.12043e14i | 0.617199 | + | 1.24830i | ||||
\(183\) | − | 9.86623e14i | − | 1.94187i | ||||||
\(184\) | 6.15427e14 | − | 4.13985e14i | 1.16912 | − | 0.786446i | ||||
\(185\) | 1.26827e15i | 2.32593i | ||||||||
\(186\) | −1.82857e14 | + | 9.04106e13i | −0.323801 | + | 0.160098i | ||||
\(187\) | 4.59262e14 | + | 4.59262e14i | 0.785398 | + | 0.785398i | ||||
\(188\) | −1.76536e14 | − | 1.34881e14i | −0.291614 | − | 0.222805i | ||||
\(189\) | −3.98560e14 | + | 3.98560e14i | −0.636051 | + | 0.636051i | ||||
\(190\) | −3.94480e14 | − | 1.33453e14i | −0.608313 | − | 0.205792i | ||||
\(191\) | 5.05178e14 | 0.752883 | 0.376441 | − | 0.926440i | \(-0.377148\pi\) | ||||
0.376441 | + | 0.926440i | \(0.377148\pi\) | |||||||
\(192\) | −2.79153e14 | − | 6.62270e14i | −0.402146 | − | 0.954062i | ||||
\(193\) | 7.87991e14 | 1.09749 | 0.548743 | − | 0.835991i | \(-0.315107\pi\) | ||||
0.548743 | + | 0.835991i | \(0.315107\pi\) | |||||||
\(194\) | 6.93532e14 | + | 2.34622e14i | 0.934018 | + | 0.315978i | ||||
\(195\) | −1.42221e15 | + | 1.42221e15i | −1.85241 | + | 1.85241i | ||||
\(196\) | 7.79574e13 | + | 5.95628e13i | 0.0982184 | + | 0.0750430i | ||||
\(197\) | −1.52484e14 | − | 1.52484e14i | −0.185864 | − | 0.185864i | 0.608041 | − | 0.793905i | \(-0.291955\pi\) |
−0.793905 | + | 0.608041i | \(0.791955\pi\) | |||||||
\(198\) | −5.69349e13 | + | 2.81505e13i | −0.0671513 | + | 0.0332018i | ||||
\(199\) | − | 2.55993e14i | − | 0.292202i | −0.989270 | − | 0.146101i | \(-0.953328\pi\) | ||
0.989270 | − | 0.146101i | \(-0.0466724\pi\) | |||||||
\(200\) | 1.42195e15 | − | 9.56514e14i | 1.57104 | − | 1.05681i | ||||
\(201\) | 7.68330e14i | 0.821814i | ||||||||
\(202\) | −3.62699e14 | − | 7.33566e14i | −0.375632 | − | 0.759723i | ||||
\(203\) | 3.49334e14 | + | 3.49334e14i | 0.350362 | + | 0.350362i | ||||
\(204\) | −1.12710e15 | + | 1.50760e14i | −1.09488 | + | 0.146450i | ||||
\(205\) | −6.08702e14 | + | 6.08702e14i | −0.572802 | + | 0.572802i | ||||
\(206\) | 8.98671e12 | − | 2.65643e13i | 0.00819339 | − | 0.0242193i | ||||
\(207\) | 1.14761e14 | 0.101388 | ||||||||
\(208\) | 1.50812e15 | + | 8.62405e14i | 1.29129 | + | 0.738414i | ||||
\(209\) | 4.73563e14 | 0.393031 | ||||||||
\(210\) | 6.56662e14 | − | 1.94106e15i | 0.528343 | − | 1.56176i | ||||
\(211\) | −1.72385e15 | + | 1.72385e15i | −1.34482 | + | 1.34482i | −0.453631 | + | 0.891190i | \(0.649871\pi\) |
−0.891190 | + | 0.453631i | \(0.850129\pi\) | |||||||
\(212\) | −1.03150e13 | − | 7.71162e13i | −0.00780345 | − | 0.0583395i | ||||
\(213\) | 1.31877e15 | + | 1.31877e15i | 0.967612 | + | 0.967612i | ||||
\(214\) | −5.62195e14 | − | 1.13705e15i | −0.400127 | − | 0.809264i | ||||
\(215\) | − | 2.70790e15i | − | 1.86975i | ||||||
\(216\) | −2.75427e14 | + | 1.40749e15i | −0.184526 | + | 0.942968i | ||||
\(217\) | 5.02364e14i | 0.326611i | ||||||||
\(218\) | −1.74714e15 | + | 8.63843e14i | −1.10245 | + | 0.545089i | ||||
\(219\) | −9.14842e14 | − | 9.14842e14i | −0.560350 | − | 0.560350i | ||||
\(220\) | −1.80801e15 | + | 2.36638e15i | −1.07511 | + | 1.40714i | ||||
\(221\) | 1.94367e15 | − | 1.94367e15i | 1.12221 | − | 1.12221i | ||||
\(222\) | 2.39191e15 | + | 8.09183e14i | 1.34107 | + | 0.453683i | ||||
\(223\) | −9.02602e14 | −0.491490 | −0.245745 | − | 0.969335i | \(-0.579033\pi\) | ||||
−0.245745 | + | 0.969335i | \(0.579033\pi\) | |||||||
\(224\) | −1.76674e15 | − | 1.06618e14i | −0.934459 | − | 0.0563919i | ||||
\(225\) | 2.65156e14 | 0.136243 | ||||||||
\(226\) | −1.66660e15 | − | 5.63810e14i | −0.832005 | − | 0.281467i | ||||
\(227\) | 1.45252e15 | − | 1.45252e15i | 0.704617 | − | 0.704617i | −0.260781 | − | 0.965398i | \(-0.583980\pi\) |
0.965398 | + | 0.260781i | \(0.0839799\pi\) | |||||||
\(228\) | −5.03372e14 | + | 6.58827e14i | −0.237308 | + | 0.310595i | ||||
\(229\) | −2.34526e15 | − | 2.34526e15i | −1.07463 | − | 1.07463i | −0.996981 | − | 0.0776511i | \(-0.975258\pi\) |
−0.0776511 | − | 0.996981i | \(-0.524742\pi\) | |||||||
\(230\) | 4.82351e15 | − | 2.38490e15i | 2.14849 | − | 1.06228i | ||||
\(231\) | 2.33019e15i | 1.00905i | ||||||||
\(232\) | 1.23365e15 | + | 2.41409e14i | 0.519423 | + | 0.101644i | ||||
\(233\) | 4.63366e14i | 0.189719i | 0.995491 | + | 0.0948594i | \(0.0302402\pi\) | ||||
−0.995491 | + | 0.0948594i | \(0.969760\pi\) | |||||||
\(234\) | 1.19138e14 | + | 2.40958e14i | 0.0474401 | + | 0.0959485i | ||||
\(235\) | −1.13968e15 | − | 1.13968e15i | −0.441411 | − | 0.441411i | ||||
\(236\) | 2.28306e14 | + | 1.70684e15i | 0.0860178 | + | 0.643079i | ||||
\(237\) | 2.75600e15 | − | 2.75600e15i | 1.01022 | − | 1.01022i | ||||
\(238\) | −8.97432e14 | + | 2.65277e15i | −0.320075 | + | 0.946126i | ||||
\(239\) | 3.53103e15 | 1.22550 | 0.612752 | − | 0.790275i | \(-0.290062\pi\) | ||||
0.612752 | + | 0.790275i | \(0.290062\pi\) | |||||||
\(240\) | −1.37031e15 | − | 5.03066e15i | −0.462857 | − | 1.69923i | ||||
\(241\) | 1.38870e15 | 0.456559 | 0.228279 | − | 0.973596i | \(-0.426690\pi\) | ||||
0.228279 | + | 0.973596i | \(0.426690\pi\) | |||||||
\(242\) | 8.39167e13 | − | 2.48054e14i | 0.0268565 | − | 0.0793865i | ||||
\(243\) | −3.25988e14 | + | 3.25988e14i | −0.101569 | + | 0.101569i | ||||
\(244\) | −6.12793e15 | + | 8.19668e14i | −1.85900 | + | 0.248659i | ||||
\(245\) | 5.03277e14 | + | 5.03277e14i | 0.148672 | + | 0.148672i | ||||
\(246\) | 7.59621e14 | + | 1.53635e15i | 0.218534 | + | 0.441989i | ||||
\(247\) | − | 2.00420e15i | − | 0.561578i | ||||||
\(248\) | 7.13456e14 | + | 1.06062e15i | 0.194729 | + | 0.289483i | ||||
\(249\) | − | 4.37988e13i | − | 0.0116457i | ||||||
\(250\) | 5.25869e15 | − | 2.60007e15i | 1.36228 | − | 0.673558i | ||||
\(251\) | −4.14200e15 | − | 4.14200e15i | −1.04552 | − | 1.04552i | −0.998914 | − | 0.0466021i | \(-0.985161\pi\) |
−0.0466021 | − | 0.998914i | \(-0.514839\pi\) | |||||||
\(252\) | −2.17610e14 | − | 1.66263e14i | −0.0535272 | − | 0.0408971i | ||||
\(253\) | −4.32676e15 | + | 4.32676e15i | −1.03724 | + | 1.03724i | ||||
\(254\) | −2.67814e15 | − | 9.06016e14i | −0.625770 | − | 0.211698i | ||||
\(255\) | −8.24962e15 | −1.87898 | ||||||||
\(256\) | −3.88145e15 | + | 2.28402e15i | −0.861855 | + | 0.507155i | ||||
\(257\) | 1.34905e15 | 0.292054 | 0.146027 | − | 0.989281i | \(-0.453351\pi\) | ||||
0.146027 | + | 0.989281i | \(0.453351\pi\) | |||||||
\(258\) | −5.10698e15 | − | 1.72769e15i | −1.07804 | − | 0.364702i | ||||
\(259\) | 4.39718e15 | − | 4.39718e15i | 0.905161 | − | 0.905161i | ||||
\(260\) | 1.00149e16 | + | 7.65181e15i | 2.01057 | + | 1.53616i | ||||
\(261\) | 1.37531e14 | + | 1.37531e14i | 0.0269300 | + | 0.0269300i | ||||
\(262\) | 7.14834e14 | − | 3.53438e14i | 0.136536 | − | 0.0675079i | ||||
\(263\) | − | 8.03771e14i | − | 0.149768i | −0.997192 | − | 0.0748842i | \(-0.976141\pi\) | ||
0.997192 | − | 0.0748842i | \(-0.0238587\pi\) | |||||||
\(264\) | 3.30933e15 | + | 4.91963e15i | 0.601610 | + | 0.894348i | ||||
\(265\) | − | 5.64439e14i | − | 0.100120i | ||||||
\(266\) | 9.04999e14 | + | 1.83038e15i | 0.156645 | + | 0.316818i | ||||
\(267\) | 3.55963e15 | + | 3.55963e15i | 0.601287 | + | 0.601287i | ||||
\(268\) | 4.77211e15 | − | 6.38314e14i | 0.786745 | − | 0.105234i | ||||
\(269\) | 1.50784e14 | − | 1.50784e14i | 0.0242641 | − | 0.0242641i | −0.694871 | − | 0.719135i | \(-0.744538\pi\) |
0.719135 | + | 0.694871i | \(0.244538\pi\) | |||||||
\(270\) | −3.33426e15 | + | 9.85592e15i | −0.523763 | + | 1.54822i | ||||
\(271\) | 4.54743e15 | 0.697374 | 0.348687 | − | 0.937239i | \(-0.386628\pi\) | ||||
0.348687 | + | 0.937239i | \(0.386628\pi\) | |||||||
\(272\) | 1.87275e15 | + | 6.87519e15i | 0.280402 | + | 1.02941i | ||||
\(273\) | 9.86177e15 | 1.44178 | ||||||||
\(274\) | 2.15039e15 | − | 6.35646e15i | 0.307000 | − | 0.907479i | ||||
\(275\) | −9.99699e15 | + | 9.99699e15i | −1.39382 | + | 1.39382i | ||||
\(276\) | −1.42033e15 | − | 1.06185e16i | −0.193410 | − | 1.44596i | ||||
\(277\) | 6.40360e15 | + | 6.40360e15i | 0.851738 | + | 0.851738i | 0.990347 | − | 0.138610i | \(-0.0442633\pi\) |
−0.138610 | + | 0.990347i | \(0.544263\pi\) | |||||||
\(278\) | −2.17119e15 | − | 4.39127e15i | −0.282102 | − | 0.570557i | ||||
\(279\) | 1.97778e14i | 0.0251044i | ||||||||
\(280\) | −1.26015e16 | − | 2.46594e15i | −1.56277 | − | 0.305812i | ||||
\(281\) | 6.28478e15i | 0.761551i | 0.924668 | + | 0.380776i | \(0.124343\pi\) | ||||
−0.924668 | + | 0.380776i | \(0.875657\pi\) | |||||||
\(282\) | −2.87653e15 | + | 1.42225e15i | −0.340604 | + | 0.168406i | ||||
\(283\) | −4.09687e15 | − | 4.09687e15i | −0.474068 | − | 0.474068i | 0.429160 | − | 0.903228i | \(-0.358810\pi\) |
−0.903228 | + | 0.429160i | \(0.858810\pi\) | |||||||
\(284\) | 7.09528e15 | − | 9.28650e15i | 0.802418 | − | 1.05023i | ||||
\(285\) | −4.25326e15 | + | 4.25326e15i | −0.470143 | + | 0.470143i | ||||
\(286\) | −1.35764e16 | − | 4.59290e15i | −1.46692 | − | 0.496258i | ||||
\(287\) | 4.22082e15 | 0.445825 | ||||||||
\(288\) | −6.95555e14 | − | 4.19748e13i | −0.0718258 | − | 0.00433448i | ||||
\(289\) | 1.36984e15 | 0.138303 | ||||||||
\(290\) | 8.63862e15 | + | 2.92245e15i | 0.852820 | + | 0.288509i | ||||
\(291\) | 7.47761e15 | − | 7.47761e15i | 0.721869 | − | 0.721869i | ||||
\(292\) | −4.92206e15 | + | 6.44213e15i | −0.464685 | + | 0.608192i | ||||
\(293\) | −1.27827e16 | − | 1.27827e16i | −1.18028 | − | 1.18028i | −0.979672 | − | 0.200607i | \(-0.935709\pi\) |
−0.200607 | − | 0.979672i | \(-0.564291\pi\) | |||||||
\(294\) | 1.27026e15 | − | 6.28058e14i | 0.114719 | − | 0.0567208i | ||||
\(295\) | 1.24929e16i | 1.10362i | ||||||||
\(296\) | 3.03869e15 | − | 1.55284e16i | 0.262598 | − | 1.34193i | ||||
\(297\) | − | 1.18318e16i | − | 1.00031i | ||||||
\(298\) | 8.83479e15 | + | 1.78685e16i | 0.730787 | + | 1.47803i | ||||
\(299\) | 1.83116e16 | + | 1.83116e16i | 1.48205 | + | 1.48205i | ||||
\(300\) | −3.28168e15 | − | 2.45342e16i | −0.259901 | − | 1.94305i | ||||
\(301\) | −9.38845e15 | + | 9.38845e15i | −0.727632 | + | 0.727632i | ||||
\(302\) | 7.01945e15 | − | 2.07492e16i | 0.532425 | − | 1.57382i | ||||
\(303\) | −1.18199e16 | −0.877475 | ||||||||
\(304\) | 4.51017e15 | + | 2.57911e15i | 0.327729 | + | 0.187409i | ||||
\(305\) | −4.48523e16 | −3.19033 | ||||||||
\(306\) | −3.53314e14 | + | 1.04438e15i | −0.0246021 | + | 0.0727226i | ||||
\(307\) | 1.67312e16 | − | 1.67312e16i | 1.14059 | − | 1.14059i | 0.152243 | − | 0.988343i | \(-0.451350\pi\) |
0.988343 | − | 0.152243i | \(-0.0486496\pi\) | |||||||
\(308\) | 1.44729e16 | − | 1.93588e15i | 0.965995 | − | 0.129211i | ||||
\(309\) | −2.86414e14 | − | 2.86414e14i | −0.0187182 | − | 0.0187182i | ||||
\(310\) | 4.11011e15 | + | 8.31277e15i | 0.263028 | + | 0.531979i | ||||
\(311\) | 1.20045e16i | 0.752320i | 0.926555 | + | 0.376160i | \(0.122756\pi\) | ||||
−0.926555 | + | 0.376160i | \(0.877244\pi\) | |||||||
\(312\) | 2.08207e16 | − | 1.40057e16i | 1.27788 | − | 0.859604i | ||||
\(313\) | − | 1.97409e16i | − | 1.18667i | −0.804957 | − | 0.593333i | \(-0.797812\pi\) | ||
0.804957 | − | 0.593333i | \(-0.202188\pi\) | |||||||
\(314\) | −2.56484e15 | + | 1.26814e15i | −0.151014 | + | 0.0746664i | ||||
\(315\) | −1.40485e15 | − | 1.40485e15i | −0.0810233 | − | 0.0810233i | ||||
\(316\) | −1.94072e16 | − | 1.48279e16i | −1.09647 | − | 0.837750i | ||||
\(317\) | 2.15261e16 | − | 2.15261e16i | 1.19146 | − | 1.19146i | 0.214804 | − | 0.976657i | \(-0.431089\pi\) |
0.976657 | − | 0.214804i | \(-0.0689112\pi\) | |||||||
\(318\) | −1.06451e15 | − | 3.60123e14i | −0.0577261 | − | 0.0195288i | ||||
\(319\) | −1.03704e16 | −0.551007 | ||||||||
\(320\) | −3.01071e16 | + | 1.26904e16i | −1.56745 | + | 0.660694i | ||||
\(321\) | −1.83211e16 | −0.934695 | ||||||||
\(322\) | −2.49920e16 | − | 8.45481e15i | −1.24951 | − | 0.422708i | ||||
\(323\) | 5.81275e15 | − | 5.81275e15i | 0.284817 | − | 0.284817i | ||||
\(324\) | 1.76511e16 | + | 1.34862e16i | 0.847675 | + | 0.647660i | ||||
\(325\) | 4.23089e16 | + | 4.23089e16i | 1.99155 | + | 1.99155i | ||||
\(326\) | −7.70577e15 | + | 3.80999e15i | −0.355551 | + | 0.175796i | ||||
\(327\) | 2.81514e16i | 1.27333i | ||||||||
\(328\) | 8.91120e15 | − | 5.99439e15i | 0.395145 | − | 0.265806i | ||||
\(329\) | 7.90270e15i | 0.343560i | ||||||||
\(330\) | 1.90646e16 | + | 3.85584e16i | 0.812617 | + | 1.64353i | ||||
\(331\) | 1.99518e16 | + | 1.99518e16i | 0.833874 | + | 0.833874i | 0.988044 | − | 0.154170i | \(-0.0492704\pi\) |
−0.154170 | + | 0.988044i | \(0.549270\pi\) | |||||||
\(332\) | −2.72035e14 | + | 3.63872e13i | −0.0111488 | + | 0.00149125i | ||||
\(333\) | 1.73115e15 | − | 1.73115e15i | 0.0695738 | − | 0.0695738i | ||||
\(334\) | 5.04336e15 | − | 1.49079e16i | 0.198778 | − | 0.587578i | ||||
\(335\) | 3.49286e16 | 1.35018 | ||||||||
\(336\) | −1.26907e16 | + | 2.21926e16i | −0.481148 | + | 0.841400i | ||||
\(337\) | −1.76153e16 | −0.655081 | −0.327541 | − | 0.944837i | \(-0.606220\pi\) | ||||
−0.327541 | + | 0.944837i | \(0.606220\pi\) | |||||||
\(338\) | −1.06531e16 | + | 3.14902e16i | −0.388614 | + | 1.14873i | ||||
\(339\) | −1.79691e16 | + | 1.79691e16i | −0.643027 | + | 0.643027i | ||||
\(340\) | 6.85363e15 | + | 5.12385e16i | 0.240607 | + | 1.79880i | ||||
\(341\) | −7.45666e15 | − | 7.45666e15i | −0.256827 | − | 0.256827i | ||||
\(342\) | 3.56293e14 | + | 7.20609e14i | 0.0120403 | + | 0.0243517i | ||||
\(343\) | − | 3.17231e16i | − | 1.05187i | ||||||
\(344\) | −6.48794e15 | + | 3.31548e16i | −0.211094 | + | 1.07874i | ||||
\(345\) | − | 7.77206e16i | − | 2.48149i | ||||||
\(346\) | −1.28335e16 | + | 6.34528e15i | −0.402114 | + | 0.198818i | ||||
\(347\) | −3.87727e16 | − | 3.87727e16i | −1.19230 | − | 1.19230i | −0.976421 | − | 0.215875i | \(-0.930740\pi\) |
−0.215875 | − | 0.976421i | \(-0.569260\pi\) | |||||||
\(348\) | 1.10232e16 | − | 1.44275e16i | 0.332692 | − | 0.435437i | ||||
\(349\) | 1.63775e16 | − | 1.63775e16i | 0.485156 | − | 0.485156i | −0.421618 | − | 0.906774i | \(-0.638538\pi\) |
0.906774 | + | 0.421618i | \(0.138538\pi\) | |||||||
\(350\) | −5.77442e16 | − | 1.95349e16i | −1.67906 | − | 0.568026i | ||||
\(351\) | −5.00740e16 | −1.42928 | ||||||||
\(352\) | 2.78065e16 | − | 2.46414e16i | 0.779147 | − | 0.690461i | ||||
\(353\) | 7.04122e14 | 0.0193692 | 0.00968461 | − | 0.999953i | \(-0.496917\pi\) | ||||
0.00968461 | + | 0.999953i | \(0.496917\pi\) | |||||||
\(354\) | 2.35611e16 | + | 7.97072e15i | 0.636318 | + | 0.215266i | ||||
\(355\) | 5.99518e16 | − | 5.99518e16i | 1.58971 | − | 1.58971i | ||||
\(356\) | 1.91516e16 | − | 2.50662e16i | 0.498633 | − | 0.652624i | ||||
\(357\) | 2.86020e16 | + | 2.86020e16i | 0.731227 | + | 0.731227i | ||||
\(358\) | 1.25751e16 | − | 6.21754e15i | 0.315697 | − | 0.156091i | ||||
\(359\) | 4.92203e15i | 0.121347i | 0.998158 | + | 0.0606736i | \(0.0193249\pi\) | ||||
−0.998158 | + | 0.0606736i | \(0.980675\pi\) | |||||||
\(360\) | −4.96114e15 | − | 9.70826e14i | −0.120120 | − | 0.0235058i | ||||
\(361\) | 3.60592e16i | 0.857471i | ||||||||
\(362\) | 3.09160e16 | + | 6.25281e16i | 0.722067 | + | 1.46039i | ||||
\(363\) | −2.67450e15 | − | 2.67450e15i | −0.0613550 | − | 0.0613550i | ||||
\(364\) | −8.19297e15 | − | 6.12516e16i | −0.184622 | − | 1.38025i | ||||
\(365\) | −4.15891e16 | + | 4.15891e16i | −0.920611 | + | 0.920611i | ||||
\(366\) | −2.86167e16 | + | 8.45895e16i | −0.622289 | + | 1.83946i | ||||
\(367\) | −3.78453e14 | −0.00808505 | −0.00404253 | − | 0.999992i | \(-0.501287\pi\) | ||||
−0.00404253 | + | 0.999992i | \(0.501287\pi\) | |||||||
\(368\) | −6.47719e16 | + | 1.76434e16i | −1.35949 | + | 0.370314i | ||||
\(369\) | 1.66171e15 | 0.0342676 | ||||||||
\(370\) | 3.67858e16 | − | 1.08737e17i | 0.745365 | − | 2.20327i | ||||
\(371\) | −1.95695e15 | + | 1.95695e15i | −0.0389626 | + | 0.0389626i | ||||
\(372\) | 1.82998e16 | − | 2.44777e15i | 0.358029 | − | 0.0478897i | ||||
\(373\) | −1.10572e16 | − | 1.10572e16i | −0.212587 | − | 0.212587i | 0.592778 | − | 0.805366i | \(-0.298031\pi\) |
−0.805366 | + | 0.592778i | \(0.798031\pi\) | |||||||
\(374\) | −2.60547e16 | − | 5.26962e16i | −0.492290 | − | 0.995666i | ||||
\(375\) | − | 8.47326e16i | − | 1.57343i | ||||||
\(376\) | 1.12234e16 | + | 1.66846e16i | 0.204835 | + | 0.304505i | ||||
\(377\) | 4.38894e16i | 0.787301i | ||||||||
\(378\) | 4.57312e16 | − | 2.26110e16i | 0.806335 | − | 0.398679i | ||||
\(379\) | 7.09339e16 | + | 7.09339e16i | 1.22942 | + | 1.22942i | 0.964185 | + | 0.265232i | \(0.0854486\pi\) |
0.265232 | + | 0.964185i | \(0.414551\pi\) | |||||||
\(380\) | 2.99506e16 | + | 2.28835e16i | 0.510284 | + | 0.389879i | ||||
\(381\) | −2.88755e16 | + | 2.88755e16i | −0.483635 | + | 0.483635i | ||||
\(382\) | −4.33121e16 | − | 1.46525e16i | −0.713177 | − | 0.241268i | ||||
\(383\) | −8.10892e16 | −1.31272 | −0.656358 | − | 0.754449i | \(-0.727904\pi\) | ||||
−0.656358 | + | 0.754449i | \(0.727904\pi\) | |||||||
\(384\) | 4.72465e15 | + | 6.48773e16i | 0.0751998 | + | 1.03262i | ||||
\(385\) | 1.05932e17 | 1.65780 | ||||||||
\(386\) | −6.75595e16 | − | 2.28554e16i | −1.03961 | − | 0.351699i | ||||
\(387\) | −3.69618e15 | + | 3.69618e15i | −0.0559283 | + | 0.0559283i | ||||
\(388\) | −5.26558e16 | − | 4.02313e16i | −0.783502 | − | 0.598629i | ||||
\(389\) | −7.58407e16 | − | 7.58407e16i | −1.10976 | − | 1.10976i | −0.993181 | − | 0.116580i | \(-0.962807\pi\) |
−0.116580 | − | 0.993181i | \(-0.537193\pi\) | |||||||
\(390\) | 1.63186e17 | − | 8.06844e16i | 2.34835 | − | 1.16110i | ||||
\(391\) | 1.06218e17i | 1.50331i | ||||||||
\(392\) | −4.95619e15 | − | 7.36782e15i | −0.0689903 | − | 0.102560i | ||||
\(393\) | − | 1.15180e16i | − | 0.157698i | ||||||
\(394\) | 8.65071e15 | + | 1.74962e16i | 0.116500 | + | 0.235624i | ||||
\(395\) | −1.25289e17 | − | 1.25289e17i | −1.65971 | − | 1.65971i | ||||
\(396\) | 5.69788e15 | − | 7.62145e14i | 0.0742497 | − | 0.00993159i | ||||
\(397\) | 3.94264e16 | − | 3.94264e16i | 0.505415 | − | 0.505415i | −0.407700 | − | 0.913116i | \(-0.633669\pi\) |
0.913116 | + | 0.407700i | \(0.133669\pi\) | |||||||
\(398\) | −7.42498e15 | + | 2.19479e16i | −0.0936387 | + | 0.276792i | ||||
\(399\) | 2.94926e16 | 0.365923 | ||||||||
\(400\) | −1.49656e17 | + | 4.07651e16i | −1.82685 | + | 0.497621i | ||||
\(401\) | 1.15109e17 | 1.38251 | 0.691257 | − | 0.722609i | \(-0.257057\pi\) | ||||
0.691257 | + | 0.722609i | \(0.257057\pi\) | |||||||
\(402\) | 2.22851e16 | − | 6.58738e16i | 0.263358 | − | 0.778473i | ||||
\(403\) | −3.15579e16 | + | 3.15579e16i | −0.366965 | + | 0.366965i | ||||
\(404\) | 9.81971e15 | + | 7.34133e16i | 0.112362 | + | 0.840032i | ||||
\(405\) | 1.13952e17 | + | 1.13952e17i | 1.28311 | + | 1.28311i | ||||
\(406\) | −1.98183e16 | − | 4.00829e16i | −0.219608 | − | 0.444161i | ||||
\(407\) | 1.30536e17i | 1.42353i | ||||||||
\(408\) | 1.01006e17 | + | 1.97655e16i | 1.08407 | + | 0.212137i | ||||
\(409\) | − | 5.16299e16i | − | 0.545381i | −0.962102 | − | 0.272690i | \(-0.912087\pi\) | ||
0.962102 | − | 0.272690i | \(-0.0879134\pi\) | |||||||
\(410\) | 6.98431e16 | − | 3.45327e16i | 0.726153 | − | 0.359034i | ||||
\(411\) | −6.85349e16 | − | 6.85349e16i | −0.701358 | − | 0.701358i | ||||
\(412\) | −1.54098e15 | + | 2.01687e15i | −0.0155226 | + | 0.0203164i | ||||
\(413\) | 4.33137e16 | − | 4.33137e16i | 0.429487 | − | 0.429487i | ||||
\(414\) | −9.83922e15 | − | 3.32861e15i | −0.0960414 | − | 0.0324908i | ||||
\(415\) | −1.99111e15 | −0.0191330 | ||||||||
\(416\) | −1.04287e17 | − | 1.17682e17i | −0.986557 | − | 1.11328i | ||||
\(417\) | −7.07559e16 | −0.658990 | ||||||||
\(418\) | −4.06016e16 | − | 1.37355e16i | −0.372304 | − | 0.125950i | ||||
\(419\) | −9.58800e16 | + | 9.58800e16i | −0.865639 | + | 0.865639i | −0.991986 | − | 0.126347i | \(-0.959675\pi\) |
0.126347 | + | 0.991986i | \(0.459675\pi\) | |||||||
\(420\) | −1.12600e17 | + | 1.47373e17i | −1.00096 | + | 1.31008i | ||||
\(421\) | 1.87134e16 | + | 1.87134e16i | 0.163802 | + | 0.163802i | 0.784249 | − | 0.620447i | \(-0.213049\pi\) |
−0.620447 | + | 0.784249i | \(0.713049\pi\) | |||||||
\(422\) | 1.97797e17 | − | 9.77972e16i | 1.70486 | − | 0.842938i | ||||
\(423\) | 3.11125e15i | 0.0264072i | ||||||||
\(424\) | −1.35236e15 | + | 6.91085e15i | −0.0113035 | + | 0.0577635i | ||||
\(425\) | 2.45416e17i | 2.02011i | ||||||||
\(426\) | −7.48161e16 | − | 1.51317e17i | −0.606502 | − | 1.22666i | ||||
\(427\) | 1.55506e17 | + | 1.55506e17i | 1.24155 | + | 1.24155i | ||||
\(428\) | 1.52209e16 | + | 1.13793e17i | 0.119689 | + | 0.894810i | ||||
\(429\) | −1.46380e17 | + | 1.46380e17i | −1.13373 | + | 1.13373i | ||||
\(430\) | −7.85416e16 | + | 2.32165e17i | −0.599177 | + | 1.77114i | ||||
\(431\) | −8.22316e16 | −0.617926 | −0.308963 | − | 0.951074i | \(-0.599982\pi\) | ||||
−0.308963 | + | 0.951074i | \(0.599982\pi\) | |||||||
\(432\) | 6.44379e16 | − | 1.12685e17i | 0.476977 | − | 0.834105i | ||||
\(433\) | −1.10188e17 | −0.803458 | −0.401729 | − | 0.915759i | \(-0.631591\pi\) | ||||
−0.401729 | + | 0.915759i | \(0.631591\pi\) | |||||||
\(434\) | 1.45709e16 | − | 4.30709e16i | 0.104665 | − | 0.309386i | ||||
\(435\) | 9.31409e16 | − | 9.31409e16i | 0.659114 | − | 0.659114i | ||||
\(436\) | 1.74849e17 | − | 2.33877e16i | 1.21899 | − | 0.163051i | ||||
\(437\) | 5.47626e16 | + | 5.47626e16i | 0.376144 | + | 0.376144i | ||||
\(438\) | 5.19006e16 | + | 1.04970e17i | 0.351229 | + | 0.710368i | ||||
\(439\) | − | 1.40740e17i | − | 0.938422i | −0.883086 | − | 0.469211i | \(-0.844538\pi\) | ||
0.883086 | − | 0.469211i | \(-0.155462\pi\) | |||||||
\(440\) | 2.23648e17 | − | 1.50444e17i | 1.46934 | − | 0.988398i | ||||
\(441\) | − | 1.37391e15i | − | 0.00889421i | ||||||
\(442\) | −2.23019e17 | + | 1.10268e17i | −1.42265 | + | 0.703404i | ||||
\(443\) | −5.15028e16 | − | 5.15028e16i | −0.323747 | − | 0.323747i | 0.526455 | − | 0.850203i | \(-0.323521\pi\) |
−0.850203 | + | 0.526455i | \(0.823521\pi\) | |||||||
\(444\) | −1.81603e17 | − | 1.38753e17i | −1.12495 | − | 0.859513i | ||||
\(445\) | 1.61822e17 | − | 1.61822e17i | 0.987867 | − | 0.987867i | ||||
\(446\) | 7.73858e16 | + | 2.61796e16i | 0.465570 | + | 0.157502i | ||||
\(447\) | 2.87913e17 | 1.70712 | ||||||||
\(448\) | 1.48382e17 | + | 6.03847e16i | 0.867107 | + | 0.352874i | ||||
\(449\) | −9.91483e16 | −0.571063 | −0.285532 | − | 0.958369i | \(-0.592170\pi\) | ||||
−0.285532 | + | 0.958369i | \(0.592170\pi\) | |||||||
\(450\) | −2.27336e16 | − | 7.69077e15i | −0.129058 | − | 0.0436605i | ||||
\(451\) | −6.26502e16 | + | 6.26502e16i | −0.350570 | + | 0.350570i | ||||
\(452\) | 1.26535e17 | + | 9.66781e16i | 0.697928 | + | 0.533247i | ||||
\(453\) | −2.23716e17 | − | 2.23716e17i | −1.21635 | − | 1.21635i | ||||
\(454\) | −1.66663e17 | + | 8.24039e16i | −0.893259 | + | 0.441657i | ||||
\(455\) | − | 4.48320e17i | − | 2.36872i | ||||||
\(456\) | 6.22663e16 | − | 4.18853e16i | 0.324326 | − | 0.218168i | ||||
\(457\) | 1.89700e16i | 0.0974119i | 0.998813 | + | 0.0487059i | \(0.0155097\pi\) | ||||
−0.998813 | + | 0.0487059i | \(0.984490\pi\) | |||||||
\(458\) | 1.33051e17 | + | 2.69097e17i | 0.673583 | + | 1.36233i | ||||
\(459\) | −1.45229e17 | − | 1.45229e17i | −0.724888 | − | 0.724888i | ||||
\(460\) | −4.82724e17 | + | 6.45688e16i | −2.37560 | + | 0.317758i | ||||
\(461\) | 8.20877e16 | − | 8.20877e16i | 0.398311 | − | 0.398311i | −0.479326 | − | 0.877637i | \(-0.659119\pi\) |
0.877637 | + | 0.479326i | \(0.159119\pi\) | |||||||
\(462\) | 6.75864e16 | − | 1.99782e17i | 0.323360 | − | 0.955838i | ||||
\(463\) | 9.75992e16 | 0.460437 | 0.230218 | − | 0.973139i | \(-0.426056\pi\) | ||||
0.230218 | + | 0.973139i | \(0.426056\pi\) | |||||||
\(464\) | −9.87671e16 | − | 5.64792e16i | −0.459458 | − | 0.262737i | ||||
\(465\) | 1.33943e17 | 0.614433 | ||||||||
\(466\) | 1.34398e16 | − | 3.97273e16i | 0.0607971 | − | 0.179714i | ||||
\(467\) | −1.00759e17 | + | 1.00759e17i | −0.449495 | + | 0.449495i | −0.895186 | − | 0.445692i | \(-0.852958\pi\) |
0.445692 | + | 0.895186i | \(0.352958\pi\) | |||||||
\(468\) | −3.22553e15 | − | 2.41144e16i | −0.0141907 | − | 0.106091i | ||||
\(469\) | −1.21100e17 | − | 1.21100e17i | −0.525436 | − | 0.525436i | ||||
\(470\) | 6.46562e16 | + | 1.30768e17i | 0.276678 | + | 0.559586i | ||||
\(471\) | 4.13269e16i | 0.174420i | ||||||||
\(472\) | 2.99322e16 | − | 1.52960e17i | 0.124599 | − | 0.636730i | ||||
\(473\) | − | 2.78709e17i | − | 1.14433i | ||||||
\(474\) | −3.16227e17 | + | 1.56353e17i | −1.28068 | + | 0.633208i | ||||
\(475\) | 1.26529e17 | + | 1.26529e17i | 0.505454 | + | 0.505454i | ||||
\(476\) | 1.53885e17 | − | 2.01409e17i | 0.606390 | − | 0.793659i | ||||
\(477\) | −7.70438e14 | + | 7.70438e14i | −0.00299480 | + | 0.00299480i | ||||
\(478\) | −3.02738e17 | − | 1.02416e17i | −1.16087 | − | 0.392724i | ||||
\(479\) | 2.22931e17 | 0.843314 | 0.421657 | − | 0.906756i | \(-0.361449\pi\) | ||||
0.421657 | + | 0.906756i | \(0.361449\pi\) | |||||||
\(480\) | −2.84269e16 | + | 4.71056e17i | −0.106087 | + | 1.75794i | ||||
\(481\) | 5.52451e17 | 2.03400 | ||||||||
\(482\) | −1.19062e17 | − | 4.02786e16i | −0.432481 | − | 0.146308i | ||||
\(483\) | −2.69462e17 | + | 2.69462e17i | −0.965699 | + | 0.965699i | ||||
\(484\) | −1.43894e16 | + | 1.88333e16i | −0.0508802 | + | 0.0665934i | ||||
\(485\) | −3.39936e17 | − | 3.39936e17i | −1.18597 | − | 1.18597i | ||||
\(486\) | 3.74042e16 | − | 1.84938e16i | 0.128761 | − | 0.0636637i | ||||
\(487\) | − | 4.12184e17i | − | 1.40008i | −0.714103 | − | 0.700040i | \(-0.753165\pi\) | ||
0.714103 | − | 0.700040i | \(-0.246835\pi\) | |||||||
\(488\) | 5.49161e17 | + | 1.07463e17i | 1.84065 | + | 0.360189i | ||||
\(489\) | 1.24162e17i | 0.410659i | ||||||||
\(490\) | −2.85518e16 | − | 5.77466e16i | −0.0931878 | − | 0.188474i | ||||
\(491\) | 3.83217e17 | + | 3.83217e17i | 1.23428 | + | 1.23428i | 0.962302 | + | 0.271982i | \(0.0876791\pi\) |
0.271982 | + | 0.962302i | \(0.412321\pi\) | |||||||
\(492\) | −2.05660e16 | − | 1.53754e17i | −0.0653696 | − | 0.488711i | ||||
\(493\) | −1.27292e17 | + | 1.27292e17i | −0.399297 | + | 0.399297i | ||||
\(494\) | −5.81311e16 | + | 1.71833e17i | −0.179963 | + | 0.531962i | ||||
\(495\) | 4.17047e16 | 0.127424 | ||||||||
\(496\) | −3.04063e16 | − | 1.11627e17i | −0.0916923 | − | 0.336619i | ||||
\(497\) | −4.15713e17 | −1.23731 | ||||||||
\(498\) | −1.27037e15 | + | 3.75515e15i | −0.00373198 | + | 0.0110316i | ||||
\(499\) | −7.30964e16 | + | 7.30964e16i | −0.211954 | + | 0.211954i | −0.805097 | − | 0.593143i | \(-0.797887\pi\) |
0.593143 | + | 0.805097i | \(0.297887\pi\) | |||||||
\(500\) | −5.26275e17 | + | 7.03942e16i | −1.50629 | + | 0.201480i | ||||
\(501\) | −1.60736e17 | − | 1.60736e17i | −0.454118 | − | 0.454118i | ||||
\(502\) | 2.34983e17 | + | 4.75257e17i | 0.655333 | + | 1.32542i | ||||
\(503\) | 3.90765e17i | 1.07578i | 0.843015 | + | 0.537890i | \(0.180779\pi\) | ||||
−0.843015 | + | 0.537890i | \(0.819221\pi\) | |||||||
\(504\) | 1.38347e16 | + | 2.05665e16i | 0.0375985 | + | 0.0558936i | ||||
\(505\) | 5.37336e17i | 1.44162i | ||||||||
\(506\) | 4.96456e17 | − | 2.45464e17i | 1.31493 | − | 0.650145i | ||||
\(507\) | 3.39525e17 | + | 3.39525e17i | 0.887810 | + | 0.887810i | ||||
\(508\) | 2.03336e17 | + | 1.55357e17i | 0.524928 | + | 0.401067i | ||||
\(509\) | 1.15663e17 | − | 1.15663e17i | 0.294801 | − | 0.294801i | −0.544173 | − | 0.838973i | \(-0.683156\pi\) |
0.838973 | + | 0.544173i | \(0.183156\pi\) | |||||||
\(510\) | 7.07293e17 | + | 2.39277e17i | 1.77989 | + | 0.602137i | ||||
\(511\) | 2.88384e17 | 0.716532 | ||||||||
\(512\) | 3.99029e17 | − | 8.32437e16i | 0.978925 | − | 0.204219i | ||||
\(513\) | −1.49751e17 | −0.362751 | ||||||||
\(514\) | −1.15663e17 | − | 3.91288e16i | −0.276652 | − | 0.0935915i | ||||
\(515\) | −1.30205e16 | + | 1.30205e16i | −0.0307526 | + | 0.0307526i | ||||
\(516\) | 3.87743e17 | + | 2.96252e17i | 0.904317 | + | 0.690937i | ||||
\(517\) | −1.17301e17 | − | 1.17301e17i | −0.270155 | − | 0.270155i | ||||
\(518\) | −5.04537e17 | + | 2.49460e17i | −1.14749 | + | 0.567358i | ||||
\(519\) | 2.06784e17i | 0.464439i | ||||||||
\(520\) | −6.36703e17 | − | 9.46517e17i | −1.41226 | − | 2.09946i | ||||
\(521\) | − | 3.03961e17i | − | 0.665844i | −0.942954 | − | 0.332922i | \(-0.891965\pi\) | ||
0.942954 | − | 0.332922i | \(-0.108035\pi\) | |||||||
\(522\) | −7.80236e15 | − | 1.57804e16i | −0.0168798 | − | 0.0341397i | ||||
\(523\) | −4.73096e17 | − | 4.73096e17i | −1.01085 | − | 1.01085i | −0.999940 | − | 0.0109141i | \(-0.996526\pi\) |
−0.0109141 | − | 0.999940i | \(-0.503474\pi\) | |||||||
\(524\) | −7.15387e16 | + | 9.56896e15i | −0.150969 | + | 0.0201935i | ||||
\(525\) | −6.22594e17 | + | 6.22594e17i | −1.29768 | + | 1.29768i | ||||
\(526\) | −2.33131e16 | + | 6.89125e16i | −0.0479946 | + | 0.141870i | ||||
\(527\) | −1.83054e17 | −0.372228 | ||||||||
\(528\) | −1.41038e17 | − | 5.17777e17i | −0.283281 | − | 1.03997i | ||||
\(529\) | −4.96651e17 | −0.985347 | ||||||||
\(530\) | −1.63714e16 | + | 4.83930e16i | −0.0320842 | + | 0.0948395i | ||||
\(531\) | 1.70524e16 | − | 1.70524e16i | 0.0330119 | − | 0.0330119i | ||||
\(532\) | −2.45019e16 | − | 1.83179e17i | −0.0468570 | − | 0.350308i | ||||
\(533\) | 2.65146e17 | + | 2.65146e17i | 0.500909 | + | 0.500909i | ||||
\(534\) | −2.01944e17 | − | 4.08436e17i | −0.376888 | − | 0.762264i | ||||
\(535\) | 8.32888e17i | 1.53563i | ||||||||
\(536\) | −4.27657e17 | − | 8.36865e16i | −0.778977 | − | 0.152435i | ||||
\(537\) | − | 2.02621e17i | − | 0.364629i | ||||||
\(538\) | −1.73011e16 | + | 8.55423e15i | −0.0307602 | + | 0.0152088i | ||||
\(539\) | 5.17995e16 | + | 5.17995e16i | 0.0909910 | + | 0.0909910i | ||||
\(540\) | 5.71735e17 | − | 7.48302e17i | 0.992282 | − | 1.29873i | ||||
\(541\) | 3.15544e17 | − | 3.15544e17i | 0.541100 | − | 0.541100i | −0.382751 | − | 0.923851i | \(-0.625023\pi\) |
0.923851 | + | 0.382751i | \(0.125023\pi\) | |||||||
\(542\) | −3.89880e17 | − | 1.31897e17i | −0.660596 | − | 0.223480i | ||||
\(543\) | 1.00751e18 | 1.68675 | ||||||||
\(544\) | 3.88498e16 | − | 6.43773e17i | 0.0642682 | − | 1.06498i | ||||
\(545\) | 1.27978e18 | 2.09198 | ||||||||
\(546\) | −8.45513e17 | − | 2.86037e17i | −1.36574 | − | 0.462030i | ||||
\(547\) | 3.54032e17 | − | 3.54032e17i | 0.565099 | − | 0.565099i | −0.365652 | − | 0.930751i | \(-0.619154\pi\) |
0.930751 | + | 0.365652i | \(0.119154\pi\) | |||||||
\(548\) | −3.68733e17 | + | 4.82608e17i | −0.581619 | + | 0.761239i | ||||
\(549\) | 6.12218e16 | + | 6.12218e16i | 0.0954301 | + | 0.0954301i | ||||
\(550\) | 1.14706e18 | − | 5.67147e17i | 1.76698 | − | 0.873651i | ||||
\(551\) | 1.31256e17i | 0.199817i | ||||||||
\(552\) | −1.86213e17 | + | 9.51592e17i | −0.280160 | + | 1.43168i | ||||
\(553\) | 8.68770e17i | 1.29179i | ||||||||
\(554\) | −3.63288e17 | − | 7.34756e17i | −0.533872 | − | 1.07977i | ||||
\(555\) | −1.17240e18 | − | 1.17240e18i | −1.70283 | − | 1.70283i | ||||
\(556\) | 5.87827e16 | + | 4.39466e17i | 0.0843846 | + | 0.630869i | ||||
\(557\) | 4.85314e17 | − | 4.85314e17i | 0.688596 | − | 0.688596i | −0.273326 | − | 0.961921i | \(-0.588124\pi\) |
0.961921 | + | 0.273326i | \(0.0881238\pi\) | |||||||
\(558\) | 5.73647e15 | − | 1.69568e16i | 0.00804494 | − | 0.0237805i | ||||
\(559\) | −1.17954e18 | −1.63507 | ||||||||
\(560\) | 1.00888e18 | + | 5.76923e17i | 1.38235 | + | 0.790489i | ||||
\(561\) | −8.49087e17 | −1.14999 | ||||||||
\(562\) | 1.82288e17 | − | 5.38834e17i | 0.244046 | − | 0.721389i | ||||
\(563\) | 5.46499e17 | − | 5.46499e17i | 0.723244 | − | 0.723244i | −0.246020 | − | 0.969265i | \(-0.579123\pi\) |
0.969265 | + | 0.246020i | \(0.0791230\pi\) | |||||||
\(564\) | 2.87875e17 | − | 3.85060e16i | 0.376609 | − | 0.0503749i | ||||
\(565\) | 8.16885e17 | + | 8.16885e17i | 1.05644 | + | 1.05644i | ||||
\(566\) | 2.32423e17 | + | 4.70080e17i | 0.297148 | + | 0.600986i | ||||
\(567\) | − | 7.90158e17i | − | 0.998675i | ||||||
\(568\) | −8.77675e17 | + | 5.90395e17i | −1.09665 | + | 0.737697i | ||||
\(569\) | − | 4.11487e17i | − | 0.508307i | −0.967164 | − | 0.254153i | \(-0.918203\pi\) | ||
0.967164 | − | 0.254153i | \(-0.0817968\pi\) | |||||||
\(570\) | 4.88023e17 | − | 2.41295e17i | 0.596011 | − | 0.294687i | ||||
\(571\) | −8.46975e16 | − | 8.46975e16i | −0.102267 | − | 0.102267i | 0.654122 | − | 0.756389i | \(-0.273038\pi\) |
−0.756389 | + | 0.654122i | \(0.773038\pi\) | |||||||
\(572\) | 1.03078e18 | + | 7.87557e17i | 1.23052 | + | 0.940173i | ||||
\(573\) | −4.66988e17 | + | 4.66988e17i | −0.551189 | + | 0.551189i | ||||
\(574\) | −3.61877e17 | − | 1.22423e17i | −0.422313 | − | 0.142869i | ||||
\(575\) | −2.31209e18 | −2.66787 | ||||||||
\(576\) | 5.84169e16 | + | 2.37731e16i | 0.0666489 | + | 0.0271231i | ||||
\(577\) | 9.65171e17 | 1.08883 | 0.544417 | − | 0.838815i | \(-0.316751\pi\) | ||||
0.544417 | + | 0.838815i | \(0.316751\pi\) | |||||||
\(578\) | −1.17445e17 | − | 3.97316e16i | −0.131010 | − | 0.0443206i | ||||
\(579\) | −7.28422e17 | + | 7.28422e17i | −0.803475 | + | 0.803475i | ||||
\(580\) | −6.55879e17 | − | 5.01120e17i | −0.715389 | − | 0.546588i | ||||
\(581\) | 6.90331e15 | + | 6.90331e15i | 0.00744582 | + | 0.00744582i | ||||
\(582\) | −8.57989e17 | + | 4.24218e17i | −0.915129 | + | 0.452470i | ||||
\(583\) | − | 5.80945e16i | − | 0.0612759i | ||||||
\(584\) | 6.08852e17 | − | 4.09562e17i | 0.635079 | − | 0.427205i | ||||
\(585\) | − | 1.76501e17i | − | 0.182068i | ||||||
\(586\) | 7.25187e17 | + | 1.46671e18i | 0.739802 | + | 1.49626i | ||||
\(587\) | 9.68056e17 | + | 9.68056e17i | 0.976682 | + | 0.976682i | 0.999734 | − | 0.0230527i | \(-0.00733857\pi\) |
−0.0230527 | + | 0.999734i | \(0.507339\pi\) | |||||||
\(588\) | −1.27124e17 | + | 1.70040e16i | −0.126846 | + | 0.0169668i | ||||
\(589\) | −9.43769e16 | + | 9.43769e16i | −0.0931358 | + | 0.0931358i | ||||
\(590\) | 3.62352e17 | − | 1.07110e18i | 0.353666 | − | 1.04542i | ||||
\(591\) | 2.81914e17 | 0.272144 | ||||||||
\(592\) | −7.10923e17 | + | 1.24321e18i | −0.678784 | + | 1.18701i | ||||
\(593\) | 4.67898e17 | 0.441871 | 0.220935 | − | 0.975288i | \(-0.429089\pi\) | ||||
0.220935 | + | 0.975288i | \(0.429089\pi\) | |||||||
\(594\) | −3.43176e17 | + | 1.01441e18i | −0.320557 | + | 0.947552i | ||||
\(595\) | 1.30026e18 | − | 1.30026e18i | 1.20135 | − | 1.20135i | ||||
\(596\) | −2.39193e17 | − | 1.78823e18i | −0.218599 | − | 1.63427i | ||||
\(597\) | 2.36641e17 | + | 2.36641e17i | 0.213923 | + | 0.213923i | ||||
\(598\) | −1.03885e18 | − | 2.10109e18i | −0.928953 | − | 1.87882i | ||||
\(599\) | 3.00408e17i | 0.265728i | 0.991134 | + | 0.132864i | \(0.0424173\pi\) | ||||
−0.991134 | + | 0.132864i | \(0.957583\pi\) | |||||||
\(600\) | −4.30246e17 | + | 2.19866e18i | −0.376473 | + | 1.92386i | ||||
\(601\) | − | 2.18547e17i | − | 0.189173i | −0.995517 | − | 0.0945867i | \(-0.969847\pi\) | ||
0.995517 | − | 0.0945867i | \(-0.0301530\pi\) | |||||||
\(602\) | 1.07724e18 | − | 5.32624e17i | 0.922435 | − | 0.456082i | ||||
\(603\) | −4.76763e16 | − | 4.76763e16i | −0.0403868 | − | 0.0403868i | ||||
\(604\) | −1.20365e18 | + | 1.57536e18i | −1.00869 | + | 1.32020i | ||||
\(605\) | −1.21584e17 | + | 1.21584e17i | −0.100801 | + | 0.100801i | ||||
\(606\) | 1.01339e18 | + | 3.42831e17i | 0.831199 | + | 0.281195i | ||||
\(607\) | 1.30131e18 | 1.05598 | 0.527989 | − | 0.849251i | \(-0.322946\pi\) | ||||
0.527989 | + | 0.849251i | \(0.322946\pi\) | |||||||
\(608\) | −3.11880e17 | − | 3.51940e17i | −0.250388 | − | 0.282550i | ||||
\(609\) | −6.45851e17 | −0.513003 | ||||||||
\(610\) | 3.84548e18 | + | 1.30093e18i | 3.02208 | + | 1.02237i | ||||
\(611\) | −4.96438e17 | + | 4.96438e17i | −0.386009 | + | 0.386009i | ||||
\(612\) | 6.05837e16 | − | 7.92936e16i | 0.0466092 | − | 0.0610034i | ||||
\(613\) | −4.42238e17 | − | 4.42238e17i | −0.336638 | − | 0.336638i | 0.518463 | − | 0.855100i | \(-0.326505\pi\) |
−0.855100 | + | 0.518463i | \(0.826505\pi\) | |||||||
\(614\) | −1.91976e18 | + | 9.49191e17i | −1.44595 | + | 0.714923i | ||||
\(615\) | − | 1.12537e18i | − | 0.838703i | ||||||
\(616\) | −1.29700e18 | − | 2.53805e17i | −0.956458 | − | 0.187165i | ||||
\(617\) | − | 6.56472e17i | − | 0.479030i | −0.970893 | − | 0.239515i | \(-0.923012\pi\) | ||
0.970893 | − | 0.239515i | \(-0.0769884\pi\) | |||||||
\(618\) | 1.62488e16 | + | 3.28635e16i | 0.0117326 | + | 0.0237295i | ||||
\(619\) | −4.68829e17 | − | 4.68829e17i | −0.334985 | − | 0.334985i | 0.519491 | − | 0.854476i | \(-0.326122\pi\) |
−0.854476 | + | 0.519491i | \(0.826122\pi\) | |||||||
\(620\) | −1.11277e17 | − | 8.31919e17i | −0.0786790 | − | 0.588213i | ||||
\(621\) | 1.36822e18 | − | 1.36822e18i | 0.957327 | − | 0.957327i | ||||
\(622\) | 3.48187e17 | − | 1.02923e18i | 0.241088 | − | 0.712645i | ||||
\(623\) | −1.12210e18 | −0.768879 | ||||||||
\(624\) | −2.19132e18 | + | 5.96898e17i | −1.48596 | + | 0.404763i | ||||
\(625\) | −1.03057e18 | −0.691606 | ||||||||
\(626\) | −5.72577e17 | + | 1.69251e18i | −0.380278 | + | 1.12408i | ||||
\(627\) | −4.37764e17 | + | 4.37764e17i | −0.287740 | + | 0.287740i | ||||
\(628\) | 2.56682e17 | − | 3.43336e16i | 0.166977 | − | 0.0223348i | ||||
\(629\) | 1.60227e18 | + | 1.60227e18i | 1.03159 | + | 1.03159i | ||||
\(630\) | 7.96994e16 | + | 1.61193e17i | 0.0507857 | + | 0.102715i | ||||
\(631\) | − | 1.44870e18i | − | 0.913668i | −0.889552 | − | 0.456834i | \(-0.848983\pi\) | ||
0.889552 | − | 0.456834i | \(-0.151017\pi\) | |||||||
\(632\) | 1.23382e18 | + | 1.83419e18i | 0.770180 | + | 1.14494i | ||||
\(633\) | − | 3.18707e18i | − | 1.96910i | ||||||
\(634\) | −2.46993e18 | + | 1.22121e18i | −1.51044 | + | 0.746812i | ||||
\(635\) | 1.31270e18 | + | 1.31270e18i | 0.794575 | + | 0.794575i | ||||
\(636\) | 8.08218e16 | + | 6.17513e16i | 0.0484236 | + | 0.0369977i | ||||
\(637\) | 2.19224e17 | − | 2.19224e17i | 0.130012 | − | 0.130012i | ||||
\(638\) | 8.89123e17 | + | 3.00791e17i | 0.521948 | + | 0.176575i | ||||
\(639\) | −1.63664e17 | −0.0951037 | ||||||||
\(640\) | 2.94935e18 | − | 2.14785e17i | 1.69651 | − | 0.123547i | ||||
\(641\) | −2.08753e18 | −1.18865 | −0.594326 | − | 0.804224i | \(-0.702581\pi\) | ||||
−0.594326 | + | 0.804224i | \(0.702581\pi\) | |||||||
\(642\) | 1.57079e18 | + | 5.31398e17i | 0.885402 | + | 0.299532i | ||||
\(643\) | −3.18091e17 | + | 3.18091e17i | −0.177493 | + | 0.177493i | −0.790262 | − | 0.612769i | \(-0.790055\pi\) |
0.612769 | + | 0.790262i | \(0.290055\pi\) | |||||||
\(644\) | 1.89750e18 | + | 1.44977e18i | 1.04815 | + | 0.800831i | ||||
\(645\) | 2.50319e18 | + | 2.50319e18i | 1.36885 | + | 1.36885i | ||||
\(646\) | −6.66961e17 | + | 3.29767e17i | −0.361068 | + | 0.178524i | ||||
\(647\) | 1.16503e18i | 0.624392i | 0.950018 | + | 0.312196i | \(0.101065\pi\) | ||||
−0.950018 | + | 0.312196i | \(0.898935\pi\) | |||||||
\(648\) | −1.12218e18 | − | 1.66822e18i | −0.595422 | − | 0.885149i | ||||
\(649\) | 1.28582e18i | 0.675447i | ||||||||
\(650\) | −2.40026e18 | − | 4.85457e18i | −1.24831 | − | 2.52472i | ||||
\(651\) | −4.64387e17 | − | 4.64387e17i | −0.239113 | − | 0.239113i | ||||
\(652\) | 7.71172e17 | − | 1.03151e17i | 0.393135 | − | 0.0525855i | ||||
\(653\) | −8.37881e17 | + | 8.37881e17i | −0.422909 | + | 0.422909i | −0.886204 | − | 0.463295i | \(-0.846667\pi\) |
0.463295 | + | 0.886204i | \(0.346667\pi\) | |||||||
\(654\) | 8.16522e17 | − | 2.41360e18i | 0.408049 | − | 1.20618i | ||||
\(655\) | −5.23615e17 | −0.259086 | ||||||||
\(656\) | −9.37880e17 | + | 2.55471e17i | −0.459486 | + | 0.125160i | ||||
\(657\) | 1.13535e17 | 0.0550751 | ||||||||
\(658\) | 2.29215e17 | − | 6.77549e17i | 0.110097 | − | 0.325441i | ||||
\(659\) | 2.06602e18 | − | 2.06602e18i | 0.982605 | − | 0.982605i | −0.0172460 | − | 0.999851i | \(-0.505490\pi\) |
0.999851 | + | 0.0172460i | \(0.00548985\pi\) | |||||||
\(660\) | −5.16153e17 | − | 3.85882e18i | −0.243077 | − | 1.81727i | ||||
\(661\) | −1.98935e17 | − | 1.98935e17i | −0.0927686 | − | 0.0927686i | 0.659200 | − | 0.751968i | \(-0.270895\pi\) |
−0.751968 | + | 0.659200i | \(0.770895\pi\) | |||||||
\(662\) | −1.13190e18 | − | 2.28929e18i | −0.522675 | − | 1.05712i | ||||
\(663\) | 3.59348e18i | 1.64315i | ||||||||
\(664\) | 2.43787e16 | + | 4.77057e15i | 0.0110387 | + | 0.00216012i | ||||
\(665\) | − | 1.34075e18i | − | 0.601183i | ||||||
\(666\) | −1.98633e17 | + | 9.82109e16i | −0.0882003 | + | 0.0436091i | ||||
\(667\) | −1.19923e18 | − | 1.19923e18i | −0.527333 | − | 0.527333i | ||||
\(668\) | −8.64799e17 | + | 1.13187e18i | −0.376589 | + | 0.492890i | ||||
\(669\) | 8.34368e17 | − | 8.34368e17i | 0.359822 | − | 0.359822i | ||||
\(670\) | −2.99465e18 | − | 1.01309e18i | −1.27897 | − | 0.432676i | ||||
\(671\) | −4.61639e18 | −1.95257 | ||||||||
\(672\) | 1.73174e18 | − | 1.53462e18i | 0.725408 | − | 0.642838i | ||||
\(673\) | −3.16557e18 | −1.31327 | −0.656636 | − | 0.754208i | \(-0.728021\pi\) | ||||
−0.656636 | + | 0.754208i | \(0.728021\pi\) | |||||||
\(674\) | 1.51027e18 | + | 5.10925e17i | 0.620534 | + | 0.209927i | ||||
\(675\) | 3.16128e18 | − | 3.16128e18i | 1.28643 | − | 1.28643i | ||||
\(676\) | 1.82672e18 | − | 2.39086e18i | 0.736239 | − | 0.963610i | ||||
\(677\) | −6.90800e17 | − | 6.90800e17i | −0.275756 | − | 0.275756i | 0.555656 | − | 0.831412i | \(-0.312467\pi\) |
−0.831412 | + | 0.555656i | \(0.812467\pi\) | |||||||
\(678\) | 2.06180e18 | − | 1.01942e18i | 0.815179 | − | 0.403051i | ||||
\(679\) | 2.35716e18i | 0.923070i | ||||||||
\(680\) | 8.98550e17 | − | 4.59179e18i | 0.348525 | − | 1.78104i | ||||
\(681\) | 2.68543e18i | 1.03171i | ||||||||
\(682\) | 4.23030e17 | + | 8.55585e17i | 0.160980 | + | 0.325585i | ||||
\(683\) | 6.22816e17 | + | 6.22816e17i | 0.234760 | + | 0.234760i | 0.814676 | − | 0.579916i | \(-0.196915\pi\) |
−0.579916 | + | 0.814676i | \(0.696915\pi\) | |||||||
\(684\) | −9.64626e15 | − | 7.21165e16i | −0.00360159 | − | 0.0269259i | ||||
\(685\) | −3.11563e18 | + | 3.11563e18i | −1.15228 | + | 1.15228i | ||||
\(686\) | −9.20117e17 | + | 2.71982e18i | −0.337083 | + | 0.996401i | ||||
\(687\) | 4.33593e18 | 1.57349 | ||||||||
\(688\) | 1.51790e18 | − | 2.65440e18i | 0.545654 | − | 0.954203i | ||||
\(689\) | −2.45866e17 | −0.0875534 | ||||||||
\(690\) | −2.25426e18 | + | 6.66349e18i | −0.795215 | + | 2.35062i | ||||
\(691\) | −2.43218e18 | + | 2.43218e18i | −0.849939 | + | 0.849939i | −0.990125 | − | 0.140186i | \(-0.955230\pi\) |
0.140186 | + | 0.990125i | \(0.455230\pi\) | |||||||
\(692\) | 1.28434e18 | − | 1.71792e17i | 0.444620 | − | 0.0594721i | ||||
\(693\) | −1.44593e17 | − | 1.44593e17i | −0.0495884 | − | 0.0495884i | ||||
\(694\) | 2.19964e18 | + | 4.44882e18i | 0.747335 | + | 1.51150i | ||||
\(695\) | 3.21660e18i | 1.08267i | ||||||||
\(696\) | −1.36355e18 | + | 9.17236e17i | −0.454687 | + | 0.305859i | ||||
\(697\) | 1.53800e18i | 0.508093i | ||||||||
\(698\) | −1.87917e18 | + | 9.29122e17i | −0.615042 | + | 0.304097i | ||||
\(699\) | −4.28337e17 | − | 4.28337e17i | −0.138894 | − | 0.138894i | ||||
\(700\) | 4.38418e18 | + | 3.34970e18i | 1.40848 | + | 1.07614i | ||||
\(701\) | 1.94584e18 | − | 1.94584e18i | 0.619355 | − | 0.619355i | −0.326011 | − | 0.945366i | \(-0.605705\pi\) |
0.945366 | + | 0.326011i | \(0.105705\pi\) | |||||||
\(702\) | 4.29317e18 | + | 1.45238e18i | 1.35390 | + | 0.458025i | ||||
\(703\) | 1.65216e18 | 0.516229 | ||||||||
\(704\) | −3.09875e18 | + | 1.30615e18i | −0.959321 | + | 0.404363i | ||||
\(705\) | 2.10705e18 | 0.646318 | ||||||||
\(706\) | −6.03689e16 | − | 2.04228e16i | −0.0183477 | − | 0.00620704i | ||||
\(707\) | 1.86298e18 | − | 1.86298e18i | 0.561024 | − | 0.561024i | ||||
\(708\) | −1.78885e18 | − | 1.36676e18i | −0.533776 | − | 0.407828i | ||||
\(709\) | −3.88390e18 | − | 3.88390e18i | −1.14833 | − | 1.14833i | −0.986881 | − | 0.161451i | \(-0.948383\pi\) |
−0.161451 | − | 0.986881i | \(-0.551617\pi\) | |||||||
\(710\) | −6.87893e18 | + | 3.40117e18i | −2.01531 | + | 0.996436i | ||||
\(711\) | 3.42030e17i | 0.0992914i | ||||||||
\(712\) | −2.36903e18 | + | 1.59360e18i | −0.681475 | + | 0.458415i | ||||
\(713\) | − | 1.72457e18i | − | 0.491585i | ||||||
\(714\) | −1.62264e18 | − | 3.28182e18i | −0.458336 | − | 0.926993i | ||||
\(715\) | 6.65449e18 | + | 6.65449e18i | 1.86263 | + | 1.86263i | ||||
\(716\) | −1.25848e18 | + | 1.68333e17i | −0.349069 | + | 0.0466913i | ||||
\(717\) | −3.26410e18 | + | 3.26410e18i | −0.897199 | + | 0.897199i | ||||
\(718\) | 1.42762e17 | − | 4.21997e17i | 0.0388868 | − | 0.114948i | ||||
\(719\) | 5.31503e18 | 1.43472 | 0.717362 | − | 0.696701i | \(-0.245349\pi\) | ||||
0.717362 | + | 0.696701i | \(0.245349\pi\) | |||||||
\(720\) | 3.97192e17 | + | 2.27131e17i | 0.106252 | + | 0.0607597i | ||||
\(721\) | 9.02859e16 | 0.0239354 | ||||||||
\(722\) | 1.04589e18 | − | 3.09159e18i | 0.274784 | − | 0.812250i | ||||
\(723\) | −1.28372e18 | + | 1.28372e18i | −0.334249 | + | 0.334249i | ||||
\(724\) | −8.37018e17 | − | 6.25764e18i | −0.215990 | − | 1.61477i | ||||
\(725\) | −2.77083e18 | − | 2.77083e18i | −0.708618 | − | 0.708618i | ||||
\(726\) | 1.51729e17 | + | 3.06875e17i | 0.0384575 | + | 0.0777810i | ||||
\(727\) | − | 4.82122e18i | − | 1.21111i | −0.795803 | − | 0.605555i | \(-0.792951\pi\) | ||
0.795803 | − | 0.605555i | \(-0.207049\pi\) | |||||||
\(728\) | −1.07414e18 | + | 5.48913e18i | −0.267429 | + | 1.36662i | ||||
\(729\) | 3.72049e18i | 0.918061i | ||||||||
\(730\) | 4.77198e18 | − | 2.35942e18i | 1.16708 | − | 0.577042i | ||||
\(731\) | −3.42101e18 | − | 3.42101e18i | −0.829261 | − | 0.829261i | ||||
\(732\) | 4.90698e18 | − | 6.42239e18i | 1.17894 | − | 1.54303i | ||||
\(733\) | −1.17471e18 | + | 1.17471e18i | −0.279741 | + | 0.279741i | −0.833006 | − | 0.553265i | \(-0.813382\pi\) |
0.553265 | + | 0.833006i | \(0.313382\pi\) | |||||||
\(734\) | 3.24472e16 | + | 1.09769e16i | 0.00765867 | + | 0.00259093i | ||||
\(735\) | −9.30463e17 | −0.217686 | ||||||||
\(736\) | 6.06505e18 | + | 3.66008e17i | 1.40646 | + | 0.0848761i | ||||
\(737\) | 3.59500e18 | 0.826343 | ||||||||
\(738\) | −1.42469e17 | − | 4.81973e16i | −0.0324604 | − | 0.0109814i | ||||
\(739\) | 1.29761e18 | − | 1.29761e18i | 0.293060 | − | 0.293060i | −0.545228 | − | 0.838288i | \(-0.683557\pi\) |
0.838288 | + | 0.545228i | \(0.183557\pi\) | |||||||
\(740\) | −6.30777e18 | + | 8.25577e18i | −1.41211 | + | 1.84821i | ||||
\(741\) | 1.85269e18 | + | 1.85269e18i | 0.411135 | + | 0.411135i | ||||
\(742\) | 2.24542e17 | − | 1.11021e17i | 0.0493938 | − | 0.0244219i | ||||
\(743\) | 7.02991e17i | 0.153293i | 0.997058 | + | 0.0766465i | \(0.0244213\pi\) | ||||
−0.997058 | + | 0.0766465i | \(0.975579\pi\) | |||||||
\(744\) | −1.63996e18 | − | 3.20917e17i | −0.354494 | − | 0.0693695i | ||||
\(745\) | − | 1.30887e19i | − | 2.80466i | ||||||
\(746\) | 6.27294e17 | + | 1.26871e18i | 0.133250 | + | 0.269501i | ||||
\(747\) | 2.71779e15 | + | 2.71779e15i | 0.000572312 | + | 0.000572312i | ||||
\(748\) | 7.05405e17 | + | 5.27369e18i | 0.147258 | + | 1.10092i | ||||
\(749\) | 2.88767e18 | − | 2.88767e18i | 0.597608 | − | 0.597608i | ||||
\(750\) | −2.45764e18 | + | 7.26467e18i | −0.504220 | + | 1.49045i | ||||
\(751\) | −5.01063e18 | −1.01914 | −0.509569 | − | 0.860430i | \(-0.670195\pi\) | ||||
−0.509569 | + | 0.860430i | \(0.670195\pi\) | |||||||
\(752\) | −4.78323e17 | − | 1.75601e18i | −0.0964506 | − | 0.354087i | ||||
\(753\) | 7.65775e18 | 1.53086 | ||||||||
\(754\) | 1.27300e18 | − | 3.76292e18i | 0.252298 | − | 0.745781i | ||||
\(755\) | −1.01702e19 | + | 1.01702e19i | −1.99837 | + | 1.99837i | ||||
\(756\) | −4.57665e18 | + | 6.12169e17i | −0.891571 | + | 0.119256i | ||||
\(757\) | −6.00737e18 | − | 6.00737e18i | −1.16028 | − | 1.16028i | −0.984415 | − | 0.175861i | \(-0.943729\pi\) |
−0.175861 | − | 0.984415i | \(-0.556271\pi\) | |||||||
\(758\) | −4.02421e18 | − | 8.13903e18i | −0.770603 | − | 1.55856i | ||||
\(759\) | − | 7.99934e18i | − | 1.51874i | ||||||
\(760\) | −1.90413e18 | − | 2.83066e18i | −0.358432 | − | 0.532842i | ||||
\(761\) | − | 8.73410e17i | − | 0.163011i | −0.996673 | − | 0.0815057i | \(-0.974027\pi\) | ||
0.996673 | − | 0.0815057i | \(-0.0259729\pi\) | |||||||
\(762\) | 3.31321e18 | − | 1.63816e18i | 0.613115 | − | 0.303144i | ||||
\(763\) | −4.43707e18 | − | 4.43707e18i | −0.814116 | − | 0.814116i | ||||
\(764\) | 3.28843e18 | + | 2.51250e18i | 0.598249 | + | 0.457088i | ||||
\(765\) | 5.11904e17 | − | 5.11904e17i | 0.0923399 | − | 0.0923399i | ||||
\(766\) | 6.95229e18 | + | 2.35196e18i | 1.24349 | + | 0.420672i | ||||
\(767\) | 5.44182e18 | 0.965105 | ||||||||
\(768\) | 1.47667e18 | − | 5.69939e18i | 0.259678 | − | 1.00226i | ||||
\(769\) | −4.24909e18 | −0.740926 | −0.370463 | − | 0.928847i | \(-0.620801\pi\) | ||||
−0.370463 | + | 0.928847i | \(0.620801\pi\) | |||||||
\(770\) | −9.08220e18 | − | 3.07251e18i | −1.57037 | − | 0.531256i | ||||
\(771\) | −1.24707e18 | + | 1.24707e18i | −0.213815 | + | 0.213815i | ||||
\(772\) | 5.12940e18 | + | 3.91908e18i | 0.872075 | + | 0.666303i | ||||
\(773\) | −2.03402e18 | − | 2.03402e18i | −0.342917 | − | 0.342917i | 0.514546 | − | 0.857463i | \(-0.327960\pi\) |
−0.857463 | + | 0.514546i | \(0.827960\pi\) | |||||||
\(774\) | 4.24104e17 | − | 2.09691e17i | 0.0709015 | − | 0.0350561i | ||||
\(775\) | − | 3.98462e18i | − | 0.660581i | ||||||
\(776\) | 3.34762e18 | + | 4.97655e18i | 0.550346 | + | 0.818139i | ||||
\(777\) | 8.12954e18i | 1.32535i | ||||||||
\(778\) | 4.30257e18 | + | 8.70204e18i | 0.695602 | + | 1.40687i | ||||
\(779\) | 7.92946e17 | + | 7.92946e17i | 0.127131 | + | 0.127131i | ||||
\(780\) | −1.63312e19 | + | 2.18445e18i | −2.59658 | + | 0.347317i | ||||
\(781\) | 6.17050e18 | − | 6.17050e18i | 0.972945 | − | 0.972945i | ||||
\(782\) | 3.08080e18 | − | 9.10671e18i | 0.481748 | − | 1.42402i | ||||
\(783\) | 3.27937e18 | 0.508556 | ||||||||
\(784\) | 2.11225e17 | + | 7.75443e17i | 0.0324855 | + | 0.119260i | ||||
\(785\) | 1.87874e18 | 0.286559 | ||||||||
\(786\) | −3.34077e17 | + | 9.87515e17i | −0.0505358 | + | 0.149382i | ||||
\(787\) | 7.35756e18 | − | 7.35756e18i | 1.10382 | − | 1.10382i | 0.109874 | − | 0.993946i | \(-0.464955\pi\) |
0.993946 | − | 0.109874i | \(-0.0350447\pi\) | |||||||
\(788\) | −2.34209e17 | − | 1.75097e18i | −0.0348484 | − | 0.260531i | ||||
\(789\) | 7.43009e17 | + | 7.43009e17i | 0.109646 | + | 0.109646i | ||||
\(790\) | 7.10787e18 | + | 1.43758e19i | 1.04031 | + | 2.10405i | ||||
\(791\) | − | 5.66438e18i | − | 0.822253i | ||||||
\(792\) | −5.10622e17 | − | 9.99215e16i | −0.0735167 | − | 0.0143862i | ||||
\(793\) | 1.95374e19i | 2.78991i | ||||||||
\(794\) | −4.52382e18 | + | 2.23673e18i | −0.640726 | + | 0.316796i | ||||
\(795\) | 5.21770e17 | + | 5.21770e17i | 0.0732981 | + | 0.0732981i | ||||
\(796\) | 1.27318e18 | − | 1.66638e18i | 0.177401 | − | 0.232187i | ||||
\(797\) | 2.53938e18 | − | 2.53938e18i | 0.350952 | − | 0.350952i | −0.509512 | − | 0.860464i | \(-0.670174\pi\) |
0.860464 | + | 0.509512i | \(0.170174\pi\) | |||||||
\(798\) | −2.52859e18 | − | 8.55423e17i | −0.346625 | − | 0.117263i | ||||
\(799\) | −2.87962e18 | −0.391545 | ||||||||
\(800\) | 1.40133e19 | + | 8.45664e17i | 1.88998 | + | 0.114055i | ||||
\(801\) | −4.41763e17 | −0.0590987 | ||||||||
\(802\) | −9.86900e18 | − | 3.33869e18i | −1.30960 | − | 0.443039i | ||||
\(803\) | −4.28053e18 | + | 4.28053e18i | −0.563439 | + | 0.563439i | ||||
\(804\) | −3.82129e18 | + | 5.00141e18i | −0.498938 | + | 0.653023i | ||||
\(805\) | 1.22499e19 | + | 1.22499e19i | 1.58657 | + | 1.58657i | ||||
\(806\) | 3.62098e18 | − | 1.79033e18i | 0.465209 | − | 0.230015i | ||||
\(807\) | 2.78770e17i | 0.0355278i | ||||||||
\(808\) | 1.28742e18 | − | 6.57901e18i | 0.162759 | − | 0.831738i | ||||
\(809\) | 1.01192e19i | 1.26906i | 0.772899 | + | 0.634529i | \(0.218806\pi\) | ||||
−0.772899 | + | 0.634529i | \(0.781194\pi\) | |||||||
\(810\) | −6.46470e18 | − | 1.30750e19i | −0.804259 | − | 1.62663i | ||||
\(811\) | −2.77927e18 | − | 2.77927e18i | −0.343001 | − | 0.343001i | 0.514494 | − | 0.857494i | \(-0.327980\pi\) |
−0.857494 | + | 0.514494i | \(0.827980\pi\) | |||||||
\(812\) | 5.36561e17 | + | 4.01139e18i | 0.0656908 | + | 0.491112i | ||||
\(813\) | −4.20366e18 | + | 4.20366e18i | −0.510551 | + | 0.510551i | ||||
\(814\) | 3.78615e18 | − | 1.11917e19i | 0.456183 | − | 1.34846i | ||||
\(815\) | 5.64446e18 | 0.674680 | ||||||||
\(816\) | −8.08663e18 | − | 4.62428e18i | −0.958918 | − | 0.548350i | ||||
\(817\) | −3.52754e18 | −0.414981 | ||||||||
\(818\) | −1.49751e18 | + | 4.42656e18i | −0.174772 | + | 0.516619i | ||||
\(819\) | −6.11941e17 | + | 6.11941e17i | −0.0708539 | + | 0.0708539i | ||||
\(820\) | −6.98970e18 | + | 9.34938e17i | −0.802914 | + | 0.107397i | ||||
\(821\) | 9.20688e17 | + | 9.20688e17i | 0.104926 | + | 0.104926i | 0.757621 | − | 0.652695i | \(-0.226362\pi\) |
−0.652695 | + | 0.757621i | \(0.726362\pi\) | |||||||
\(822\) | 3.88810e18 | + | 7.86376e18i | 0.439613 | + | 0.889126i | ||||
\(823\) | − | 1.09451e18i | − | 0.122779i | −0.998114 | − | 0.0613893i | \(-0.980447\pi\) | ||
0.998114 | − | 0.0613893i | \(-0.0195531\pi\) | |||||||
\(824\) | 1.90616e17 | − | 1.28224e17i | 0.0212145 | − | 0.0142706i | ||||
\(825\) | − | 1.84825e19i | − | 2.04085i | ||||||
\(826\) | −4.96986e18 | + | 2.45726e18i | −0.544470 | + | 0.269204i | ||||
\(827\) | −8.80074e17 | − | 8.80074e17i | −0.0956606 | − | 0.0956606i | 0.657657 | − | 0.753318i | \(-0.271548\pi\) |
−0.753318 | + | 0.657657i | \(0.771548\pi\) | |||||||
\(828\) | 7.47034e17 | + | 5.70766e17i | 0.0805644 | + | 0.0615547i | ||||
\(829\) | −1.00955e19 | + | 1.00955e19i | −1.08025 | + | 1.08025i | −0.0837653 | + | 0.996486i | \(0.526695\pi\) |
−0.996486 | + | 0.0837653i | \(0.973305\pi\) | |||||||
\(830\) | 1.70711e17 | + | 5.77515e16i | 0.0181240 | + | 0.00613135i | ||||
\(831\) | −1.18390e19 | −1.24712 | ||||||||
\(832\) | 5.52785e18 | + | 1.31144e19i | 0.577769 | + | 1.37072i | ||||
\(833\) | 1.27163e18 | 0.131876 | ||||||||
\(834\) | 6.06636e18 | + | 2.05225e18i | 0.624236 | + | 0.211179i | ||||
\(835\) | −7.30715e18 | + | 7.30715e18i | −0.746080 | + | 0.746080i | ||||
\(836\) | 3.08264e18 | + | 2.35527e18i | 0.312307 | + | 0.238616i | ||||
\(837\) | 2.35797e18 | + | 2.35797e18i | 0.237040 | + | 0.237040i | ||||
\(838\) | 1.10014e19 | − | 5.43944e18i | 1.09739 | − | 0.542585i | ||||
\(839\) | 9.58634e18i | 0.948856i | 0.880294 | + | 0.474428i | \(0.157345\pi\) | ||||
−0.880294 | + | 0.474428i | \(0.842655\pi\) | |||||||
\(840\) | 1.39284e19 | − | 9.36936e18i | 1.36800 | − | 0.920226i | ||||
\(841\) | 7.38630e18i | 0.719868i | ||||||||
\(842\) | −1.06164e18 | − | 2.14720e18i | −0.102672 | − | 0.207655i | ||||
\(843\) | −5.80968e18 | − | 5.80968e18i | −0.557536 | − | 0.557536i | ||||
\(844\) | −1.97950e19 | + | 2.64776e18i | −1.88507 | + | 0.252146i | ||||
\(845\) | 1.54349e19 | − | 1.54349e19i | 1.45860 | − | 1.45860i | ||||
\(846\) | 9.02407e16 | − | 2.66747e17i | 0.00846243 | − | 0.0250146i | ||||
\(847\) | 8.43079e17 | 0.0784560 | ||||||||
\(848\) | 3.16393e17 | − | 5.53287e17i | 0.0292182 | − | 0.0510949i | ||||
\(849\) | 7.57433e18 | 0.694136 | ||||||||
\(850\) | 7.11820e18 | − | 2.10411e19i | 0.647362 | − | 1.91357i | ||||
\(851\) | −1.50951e19 | + | 1.50951e19i | −1.36237 | + | 1.36237i | ||||
\(852\) | 2.02557e18 | + | 1.51434e19i | 0.181422 | + | 1.35633i | ||||
\(853\) | −1.71955e18 | − | 1.71955e18i | −0.152843 | − | 0.152843i | 0.626543 | − | 0.779387i | \(-0.284469\pi\) |
−0.779387 | + | 0.626543i | \(0.784469\pi\) | |||||||
\(854\) | −8.82212e18 | − | 1.78429e19i | −0.778210 | − | 1.57394i | ||||
\(855\) | − | 5.27845e17i | − | 0.0462090i | ||||||
\(856\) | 1.99554e18 | − | 1.01977e19i | 0.173373 | − | 0.885975i | ||||
\(857\) | 1.06162e19i | 0.915364i | 0.889116 | + | 0.457682i | \(0.151320\pi\) | ||||
−0.889116 | + | 0.457682i | \(0.848680\pi\) | |||||||
\(858\) | 1.67958e19 | − | 8.30438e18i | 1.43725 | − | 0.710624i | ||||
\(859\) | −6.12496e17 | − | 6.12496e17i | −0.0520173 | − | 0.0520173i | 0.680620 | − | 0.732637i | \(-0.261711\pi\) |
−0.732637 | + | 0.680620i | \(0.761711\pi\) | |||||||
\(860\) | 1.34678e19 | − | 1.76270e19i | 1.13516 | − | 1.48572i | ||||
\(861\) | −3.90174e18 | + | 3.90174e18i | −0.326391 | + | 0.326391i | ||||
\(862\) | 7.05024e18 | + | 2.38510e18i | 0.585338 | + | 0.198020i | ||||
\(863\) | −4.01180e18 | −0.330574 | −0.165287 | − | 0.986245i | \(-0.552855\pi\) | ||||
−0.165287 | + | 0.986245i | \(0.552855\pi\) | |||||||
\(864\) | −8.79306e18 | + | 7.79219e18i | −0.719119 | + | 0.637265i | ||||
\(865\) | 9.40048e18 | 0.763037 | ||||||||
\(866\) | 9.44713e18 | + | 3.19597e18i | 0.761086 | + | 0.257475i | ||||
\(867\) | −1.26628e18 | + | 1.26628e18i | −0.101253 | + | 0.101253i | ||||
\(868\) | −2.49851e18 | + | 3.27012e18i | −0.198291 | + | 0.259529i | ||||
\(869\) | −1.28953e19 | − | 1.28953e19i | −1.01579 | − | 1.01579i | ||||
\(870\) | −1.06871e19 | + | 5.28405e18i | −0.835573 | + | 0.413135i | ||||
\(871\) | − | 1.52147e19i | − | 1.18071i | ||||||
\(872\) | −1.56693e19 | − | 3.06626e18i | −1.20696 | − | 0.236184i | ||||
\(873\) | 9.27999e17i | 0.0709504i | ||||||||
\(874\) | −3.10678e18 | − | 6.28351e18i | −0.235768 | − | 0.476846i | ||||
\(875\) | 1.33551e19 | + | 1.33551e19i | 1.00599 | + | 1.00599i | ||||
\(876\) | −1.40515e18 | − | 1.05051e19i | −0.105062 | − | 0.785459i | ||||
\(877\) | −3.06738e18 | + | 3.06738e18i | −0.227651 | + | 0.227651i | −0.811711 | − | 0.584060i | \(-0.801463\pi\) |
0.584060 | + | 0.811711i | \(0.301463\pi\) | |||||||
\(878\) | −4.08211e18 | + | 1.20665e19i | −0.300726 | + | 0.888932i | ||||
\(879\) | 2.36328e19 | 1.72818 | ||||||||
\(880\) | −2.35384e19 | + | 6.41167e18i | −1.70859 | + | 0.465408i | ||||
\(881\) | 1.87018e19 | 1.34754 | 0.673769 | − | 0.738942i | \(-0.264674\pi\) | ||||
0.673769 | + | 0.738942i | \(0.264674\pi\) | |||||||
\(882\) | −3.98498e16 | + | 1.17794e17i | −0.00285023 | + | 0.00842515i | ||||
\(883\) | 7.65845e18 | − | 7.65845e18i | 0.543746 | − | 0.543746i | −0.380879 | − | 0.924625i | \(-0.624378\pi\) |
0.924625 | + | 0.380879i | \(0.124378\pi\) | |||||||
\(884\) | 2.23191e19 | − | 2.98539e18i | 1.57303 | − | 0.210408i | ||||
\(885\) | −1.15485e19 | − | 1.15485e19i | −0.807968 | − | 0.807968i | ||||
\(886\) | 2.92184e18 | + | 5.90948e18i | 0.202926 | + | 0.410422i | ||||
\(887\) | 1.31407e19i | 0.905971i | 0.891518 | + | 0.452986i | \(0.149641\pi\) | ||||
−0.891518 | + | 0.452986i | \(0.850359\pi\) | |||||||
\(888\) | 1.15456e19 | + | 1.71635e19i | 0.790188 | + | 1.17469i | ||||
\(889\) | − | 9.10239e18i | − | 0.618435i | ||||||
\(890\) | −1.85677e19 | + | 9.18046e18i | −1.25234 | + | 0.619198i | ||||
\(891\) | 1.17284e19 | + | 1.17284e19i | 0.785299 | + | 0.785299i | ||||
\(892\) | −5.87545e18 | − | 4.48910e18i | −0.390544 | − | 0.298392i | ||||
\(893\) | −1.48465e18 | + | 1.48465e18i | −0.0979690 | + | 0.0979690i | ||||
\(894\) | −2.46847e19 | − | 8.35082e18i | −1.61709 | − | 0.547061i | ||||
\(895\) | −9.21122e18 | −0.599056 | ||||||||
\(896\) | −1.09703e19 | − | 9.48092e18i | −0.708296 | − | 0.612137i | ||||
\(897\) | −3.38545e19 | −2.17003 | ||||||||
\(898\) | 8.50062e18 | + | 2.87576e18i | 0.540947 | + | 0.183002i | ||||
\(899\) | 2.06674e18 | − | 2.06674e18i | 0.130571 | − | 0.130571i | ||||
\(900\) | 1.72603e18 | + | 1.31876e18i | 0.108261 | + | 0.0827158i | ||||
\(901\) | −7.13081e17 | − | 7.13081e17i | −0.0444046 | − | 0.0444046i | ||||
\(902\) | 7.18855e18 | − | 3.55426e18i | 0.444425 | − | 0.219739i | ||||
\(903\) | − | 1.73574e19i | − | 1.06541i | ||||||
\(904\) | −8.04454e18 | − | 1.19589e19i | −0.490237 | − | 0.728782i | ||||
\(905\) | − | 4.58018e19i | − | 2.77119i | ||||||
\(906\) | 1.26918e19 | + | 2.56694e19i | 0.762413 | + | 1.54200i | ||||
\(907\) | −8.39003e18 | − | 8.39003e18i | −0.500399 | − | 0.500399i | 0.411163 | − | 0.911562i | \(-0.365123\pi\) |
−0.911562 | + | 0.411163i | \(0.865123\pi\) | |||||||
\(908\) | 1.66792e19 | − | 2.23100e18i | 0.987683 | − | 0.132112i | ||||
\(909\) | 7.33443e17 | − | 7.33443e17i | 0.0431222 | − | 0.0431222i | ||||
\(910\) | −1.30034e19 | + | 3.84374e19i | −0.759079 | + | 2.24380i | ||||
\(911\) | 5.76256e18 | 0.334000 | 0.167000 | − | 0.985957i | \(-0.446592\pi\) | ||||
0.167000 | + | 0.985957i | \(0.446592\pi\) | |||||||
\(912\) | −6.55336e18 | + | 1.78508e18i | −0.377136 | + | 0.102729i | ||||
\(913\) | −2.04934e17 | −0.0117099 | ||||||||
\(914\) | 5.50218e17 | − | 1.62642e18i | 0.0312165 | − | 0.0922746i | ||||
\(915\) | 4.14617e19 | − | 4.14617e19i | 2.33566 | − | 2.33566i | ||||
\(916\) | −3.60221e18 | − | 2.69305e19i | −0.201487 | − | 1.50634i | ||||
\(917\) | 1.81541e18 | + | 1.81541e18i | 0.100826 | + | 0.100826i | ||||
\(918\) | 8.23910e18 | + | 1.66637e19i | 0.454362 | + | 0.918956i | ||||
\(919\) | 3.59447e18i | 0.196827i | 0.995146 | + | 0.0984133i | \(0.0313767\pi\) | ||||
−0.995146 | + | 0.0984133i | \(0.968623\pi\) | |||||||
\(920\) | 4.32598e19 | + | 8.46534e18i | 2.35214 | + | 0.460281i | ||||
\(921\) | 3.09328e19i | 1.67006i | ||||||||
\(922\) | −9.41883e18 | + | 4.65698e18i | −0.504947 | + | 0.249663i | ||||
\(923\) | −2.61146e19 | − | 2.61146e19i | −1.39018 | − | 1.39018i | ||||
\(924\) | −1.15892e19 | + | 1.51683e19i | −0.612614 | + | 0.801806i | ||||
\(925\) | −3.48773e19 | + | 3.48773e19i | −1.83072 | + | 1.83072i | ||||
\(926\) | −8.36781e18 | − | 2.83083e18i | −0.436154 | − | 0.147551i | ||||
\(927\) | 3.55451e16 | 0.00183976 | ||||||||
\(928\) | 6.82978e18 | + | 7.70703e18i | 0.351030 | + | 0.396119i | ||||
\(929\) | 3.06946e19 | 1.56661 | 0.783303 | − | 0.621641i | \(-0.213534\pi\) | ||||
0.783303 | + | 0.621641i | \(0.213534\pi\) | |||||||
\(930\) | −1.14837e19 | − | 3.88496e18i | −0.582029 | − | 0.196901i | ||||
\(931\) | 6.55612e17 | − | 6.55612e17i | 0.0329969 | − | 0.0329969i | ||||
\(932\) | −2.30455e18 | + | 3.01626e18i | −0.115182 | + | 0.150753i | ||||
\(933\) | −1.10970e19 | − | 1.10970e19i | −0.550778 | − | 0.550778i | ||||
\(934\) | 1.15612e19 | − | 5.71624e18i | 0.569834 | − | 0.281745i | ||||
\(935\) | 3.85999e19i | 1.88934i | ||||||||
\(936\) | −4.22885e17 | + | 2.16104e18i | −0.0205555 | + | 0.105044i | ||||
\(937\) | − | 1.67374e19i | − | 0.807944i | −0.914771 | − | 0.403972i | \(-0.867629\pi\) | ||
0.914771 | − | 0.403972i | \(-0.132371\pi\) | |||||||
\(938\) | 6.87020e18 | + | 1.38951e19i | 0.329345 | + | 0.666106i | ||||
\(939\) | 1.82485e19 | + | 1.82485e19i | 0.868764 | + | 0.868764i | ||||
\(940\) | −1.75050e18 | − | 1.30869e19i | −0.0827620 | − | 0.618739i | ||||
\(941\) | 2.27298e19 | − | 2.27298e19i | 1.06724 | − | 1.06724i | 0.0696717 | − | 0.997570i | \(-0.477805\pi\) |
0.997570 | − | 0.0696717i | \(-0.0221952\pi\) | |||||||
\(942\) | 1.19867e18 | − | 3.54322e18i | 0.0558946 | − | 0.165222i | ||||
\(943\) | −1.44897e19 | −0.671015 | ||||||||
\(944\) | −7.00283e18 | + | 1.22461e19i | −0.322074 | + | 0.563221i | ||||
\(945\) | −3.34980e19 | −1.53007 | ||||||||
\(946\) | −8.08384e18 | + | 2.38955e19i | −0.366712 | + | 1.08398i | ||||
\(947\) | −4.36791e18 | + | 4.36791e18i | −0.196788 | + | 0.196788i | −0.798622 | − | 0.601834i | \(-0.794437\pi\) |
0.601834 | + | 0.798622i | \(0.294437\pi\) | |||||||
\(948\) | 3.16471e19 | − | 4.23309e18i | 1.41605 | − | 0.189410i | ||||
\(949\) | 1.81159e19 | + | 1.81159e19i | 0.805063 | + | 0.805063i | ||||
\(950\) | −7.17822e18 | − | 1.45181e19i | −0.316820 | − | 0.640775i | ||||
\(951\) | 3.97976e19i | 1.74455i | ||||||||
\(952\) | −1.90354e19 | + | 1.28047e19i | −0.828745 | + | 0.557480i | ||||
\(953\) | − | 5.42952e18i | − | 0.234778i | −0.993086 | − | 0.117389i | \(-0.962548\pi\) | ||
0.993086 | − | 0.117389i | \(-0.0374525\pi\) | |||||||
\(954\) | 8.84009e16 | − | 4.37083e16i | 0.00379658 | − | 0.00187715i | ||||
\(955\) | 2.12295e19 | + | 2.12295e19i | 0.905561 | + | 0.905561i | ||||
\(956\) | 2.29851e19 | + | 1.75616e19i | 0.973801 | + | 0.744026i | ||||
\(957\) | 9.58647e18 | − | 9.58647e18i | 0.403395 | − | 0.403395i | ||||
\(958\) | −1.91133e19 | − | 6.46603e18i | −0.798839 | − | 0.270247i | ||||
\(959\) | 2.16041e19 | 0.896842 | ||||||||
\(960\) | 1.61000e19 | − | 3.95621e19i | 0.663840 | − | 1.63124i | ||||
\(961\) | −2.14455e19 | −0.878280 | ||||||||
\(962\) | −4.73651e19 | − | 1.60236e19i | −1.92673 | − | 0.651813i | ||||
\(963\) | 1.13686e18 | − | 1.13686e18i | 0.0459342 | − | 0.0459342i | ||||
\(964\) | 9.03967e18 | + | 6.90669e18i | 0.362787 | + | 0.277185i | ||||
\(965\) | 3.31144e19 | + | 3.31144e19i | 1.32005 | + | 1.32005i | ||||
\(966\) | 3.09184e19 | − | 1.52871e19i | 1.22424 | − | 0.605303i | ||||
\(967\) | − | 1.55747e19i | − | 0.612558i | −0.951942 | − | 0.306279i | \(-0.900916\pi\) | ||
0.951942 | − | 0.306279i | \(-0.0990841\pi\) | |||||||
\(968\) | 1.77995e18 | − | 1.19734e18i | 0.0695374 | − | 0.0467764i | ||||
\(969\) | 1.07467e19i | 0.417031i | ||||||||
\(970\) | 1.92851e19 | + | 3.90046e19i | 0.743373 | + | 1.50348i | ||||
\(971\) | −2.07562e19 | − | 2.07562e19i | −0.794738 | − | 0.794738i | 0.187523 | − | 0.982260i | \(-0.439954\pi\) |
−0.982260 | + | 0.187523i | \(0.939954\pi\) | |||||||
\(972\) | −3.74331e18 | + | 5.00702e17i | −0.142372 | + | 0.0190436i | ||||
\(973\) | 1.11521e19 | − | 1.11521e19i | 0.421332 | − | 0.421332i | ||||
\(974\) | −1.19553e19 | + | 3.53392e19i | −0.448668 | + | 1.32624i | ||||
\(975\) | −7.82211e19 | −2.91604 | ||||||||
\(976\) | −4.39661e19 | − | 2.51417e19i | −1.62815 | − | 0.931046i | ||||
\(977\) | −4.01694e19 | −1.47768 | −0.738841 | − | 0.673880i | \(-0.764626\pi\) | ||||
−0.738841 | + | 0.673880i | \(0.764626\pi\) | |||||||
\(978\) | 3.60128e18 | − | 1.06452e19i | 0.131599 | − | 0.389002i | ||||
\(979\) | 1.66554e19 | − | 1.66554e19i | 0.604601 | − | 0.604601i | ||||
\(980\) | 7.73011e17 | + | 5.77912e18i | 0.0278751 | + | 0.208397i | ||||
\(981\) | −1.74685e18 | − | 1.74685e18i | −0.0625758 | − | 0.0625758i | ||||
\(982\) | −2.17406e19 | − | 4.39707e19i | −0.773653 | − | 1.56473i | ||||
\(983\) | 1.08830e19i | 0.384725i | 0.981324 | + | 0.192362i | \(0.0616149\pi\) | ||||
−0.981324 | + | 0.192362i | \(0.938385\pi\) | |||||||
\(984\) | −2.69631e18 | + | 1.37788e19i | −0.0946896 | + | 0.483886i | ||||
\(985\) | − | 1.28160e19i | − | 0.447111i | ||||||
\(986\) | 1.46056e19 | − | 7.22149e18i | 0.506197 | − | 0.250280i | ||||
\(987\) | −7.30529e18 | − | 7.30529e18i | −0.251522 | − | 0.251522i | ||||
\(988\) | 9.96789e18 | − | 1.30463e19i | 0.340944 | − | 0.446237i | ||||
\(989\) | 3.22297e19 | − | 3.22297e19i | 1.09517 | − | 1.09517i | ||||
\(990\) | −3.57561e18 | − | 1.20963e18i | −0.120704 | − | 0.0408342i | ||||
\(991\) | 4.18369e19 | 1.40307 | 0.701537 | − | 0.712633i | \(-0.252498\pi\) | ||||
0.701537 | + | 0.712633i | \(0.252498\pi\) | |||||||
\(992\) | −6.30773e17 | + | 1.04524e19i | −0.0210159 | + | 0.348250i | ||||
\(993\) | −3.68871e19 | −1.22097 | ||||||||
\(994\) | 3.56418e19 | + | 1.20576e19i | 1.17205 | + | 0.396506i | ||||
\(995\) | 1.07578e19 | − | 1.07578e19i | 0.351458 | − | 0.351458i | ||||
\(996\) | 2.17834e17 | − | 2.85107e17i | 0.00707032 | − | 0.00925383i | ||||
\(997\) | 1.70833e19 | + | 1.70833e19i | 0.550874 | + | 0.550874i | 0.926693 | − | 0.375819i | \(-0.122638\pi\) |
−0.375819 | + | 0.926693i | \(0.622638\pi\) | |||||||
\(998\) | 8.38716e18 | − | 4.14689e18i | 0.268699 | − | 0.132854i | ||||
\(999\) | − | 4.12785e19i | − | 1.31386i |
(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 | 16.14.e.a.5.3 | ✓ | 50 | |
4.3 | odd | 2 | 64.14.e.a.49.19 | 50 | |||
8.3 | odd | 2 | 128.14.e.a.97.7 | 50 | |||
8.5 | even | 2 | 128.14.e.b.97.19 | 50 | |||
16.3 | odd | 4 | 64.14.e.a.17.19 | 50 | |||
16.5 | even | 4 | 128.14.e.b.33.19 | 50 | |||
16.11 | odd | 4 | 128.14.e.a.33.7 | 50 | |||
16.13 | even | 4 | inner | 16.14.e.a.13.3 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.14.e.a.5.3 | ✓ | 50 | 1.1 | even | 1 | trivial | |
16.14.e.a.13.3 | yes | 50 | 16.13 | even | 4 | inner | |
64.14.e.a.17.19 | 50 | 16.3 | odd | 4 | |||
64.14.e.a.49.19 | 50 | 4.3 | odd | 2 | |||
128.14.e.a.33.7 | 50 | 16.11 | odd | 4 | |||
128.14.e.a.97.7 | 50 | 8.3 | odd | 2 | |||
128.14.e.b.33.19 | 50 | 16.5 | even | 4 | |||
128.14.e.b.97.19 | 50 | 8.5 | even | 2 |