Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,9,Mod(19,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.l (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: | \(19.5541732829\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 48.43 |
Dual form | 48.9.l.a.19.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −15.9603 | + | 1.12703i | −0.997516 | + | 0.0704393i | ||||
\(3\) | −33.0681 | − | 33.0681i | −0.408248 | − | 0.408248i | ||||
\(4\) | 253.460 | − | 35.9753i | 0.990077 | − | 0.140529i | ||||
\(5\) | 156.665 | + | 156.665i | 0.250664 | + | 0.250664i | 0.821243 | − | 0.570579i | \(-0.193281\pi\) |
−0.570579 | + | 0.821243i | \(0.693281\pi\) | |||||||
\(6\) | 565.044 | + | 490.507i | 0.435991 | + | 0.378478i | ||||
\(7\) | −2214.37 | −0.922270 | −0.461135 | − | 0.887330i | \(-0.652558\pi\) | ||||
−0.461135 | + | 0.887330i | \(0.652558\pi\) | |||||||
\(8\) | −4004.74 | + | 859.832i | −0.977719 | + | 0.209920i | ||||
\(9\) | 2187.00i | 0.333333i | ||||||||
\(10\) | −2676.98 | − | 2323.85i | −0.267698 | − | 0.232385i | ||||
\(11\) | 17633.0 | − | 17633.0i | 1.20436 | − | 1.20436i | 0.231530 | − | 0.972828i | \(-0.425627\pi\) |
0.972828 | − | 0.231530i | \(-0.0743730\pi\) | |||||||
\(12\) | −9571.07 | − | 7191.79i | −0.461568 | − | 0.346827i | ||||
\(13\) | 15142.0 | − | 15142.0i | 0.530164 | − | 0.530164i | −0.390457 | − | 0.920621i | \(-0.627683\pi\) |
0.920621 | + | 0.390457i | \(0.127683\pi\) | |||||||
\(14\) | 35341.9 | − | 2495.66i | 0.919980 | − | 0.0649641i | ||||
\(15\) | − | 10361.2i | − | 0.204666i | ||||||
\(16\) | 62947.6 | − | 18236.6i | 0.960503 | − | 0.278268i | ||||
\(17\) | −148379. | −1.77654 | −0.888271 | − | 0.459320i | \(-0.848093\pi\) | ||||
−0.888271 | + | 0.459320i | \(0.848093\pi\) | |||||||
\(18\) | −2464.81 | − | 34905.1i | −0.0234798 | − | 0.332505i | ||||
\(19\) | 103863. | + | 103863.i | 0.796975 | + | 0.796975i | 0.982617 | − | 0.185642i | \(-0.0594366\pi\) |
−0.185642 | + | 0.982617i | \(0.559437\pi\) | |||||||
\(20\) | 45344.4 | + | 34072.2i | 0.283402 | + | 0.212951i | ||||
\(21\) | 73225.1 | + | 73225.1i | 0.376515 | + | 0.376515i | ||||
\(22\) | −261554. | + | 301300.i | −1.11653 | + | 1.28620i | ||||
\(23\) | −198550. | −0.709512 | −0.354756 | − | 0.934959i | \(-0.615436\pi\) | ||||
−0.354756 | + | 0.934959i | \(0.615436\pi\) | |||||||
\(24\) | 160862. | + | 103996.i | 0.484851 | + | 0.313453i | ||||
\(25\) | − | 341537.i | − | 0.874335i | ||||||
\(26\) | −224605. | + | 258736.i | −0.491503 | + | 0.566192i | ||||
\(27\) | 72320.0 | − | 72320.0i | 0.136083 | − | 0.136083i | ||||
\(28\) | −561254. | + | 79662.7i | −0.913118 | + | 0.129605i | ||||
\(29\) | −831508. | + | 831508.i | −1.17564 | + | 1.17564i | −0.194797 | + | 0.980844i | \(0.562405\pi\) |
−0.980844 | + | 0.194797i | \(0.937595\pi\) | |||||||
\(30\) | 11677.4 | + | 165368.i | 0.0144166 | + | 0.204158i | ||||
\(31\) | 1.08184e6i | 1.17143i | 0.810516 | + | 0.585716i | \(0.199187\pi\) | ||||
−0.810516 | + | 0.585716i | \(0.800813\pi\) | |||||||
\(32\) | −984106. | + | 362004.i | −0.938517 | + | 0.345234i | ||||
\(33\) | −1.16618e6 | −0.983354 | ||||||||
\(34\) | 2.36816e6 | − | 167227.i | 1.77213 | − | 0.125138i | ||||
\(35\) | −346915. | − | 346915.i | −0.231180 | − | 0.231180i | ||||
\(36\) | 78678.0 | + | 554316.i | 0.0468429 | + | 0.330026i | ||||
\(37\) | 756487. | + | 756487.i | 0.403641 | + | 0.403641i | 0.879514 | − | 0.475873i | \(-0.157868\pi\) |
−0.475873 | + | 0.879514i | \(0.657868\pi\) | |||||||
\(38\) | −1.77473e6 | − | 1.54062e6i | −0.851134 | − | 0.738857i | ||||
\(39\) | −1.00144e6 | −0.432877 | ||||||||
\(40\) | −762108. | − | 492697.i | −0.297698 | − | 0.192460i | ||||
\(41\) | 5.35660e6i | 1.89563i | 0.318819 | + | 0.947815i | \(0.396714\pi\) | ||||
−0.318819 | + | 0.947815i | \(0.603286\pi\) | |||||||
\(42\) | −1.25122e6 | − | 1.08616e6i | −0.402102 | − | 0.349059i | ||||
\(43\) | −752131. | + | 752131.i | −0.219999 | + | 0.219999i | −0.808498 | − | 0.588499i | \(-0.799719\pi\) |
0.588499 | + | 0.808498i | \(0.299719\pi\) | |||||||
\(44\) | 3.83490e6 | − | 5.10361e6i | 1.02316 | − | 1.36165i | ||||
\(45\) | −342627. | + | 342627.i | −0.0835547 | + | 0.0835547i | ||||
\(46\) | 3.16892e6 | − | 223772.i | 0.707749 | − | 0.0499775i | ||||
\(47\) | 2.04481e6i | 0.419047i | 0.977804 | + | 0.209523i | \(0.0671912\pi\) | ||||
−0.977804 | + | 0.209523i | \(0.932809\pi\) | |||||||
\(48\) | −2.68461e6 | − | 1.47851e6i | −0.505726 | − | 0.278521i | ||||
\(49\) | −861361. | −0.149417 | ||||||||
\(50\) | 384922. | + | 5.45102e6i | 0.0615875 | + | 0.872163i | ||||
\(51\) | 4.90660e6 | + | 4.90660e6i | 0.725270 | + | 0.725270i | ||||
\(52\) | 3.29315e6 | − | 4.38263e6i | 0.450400 | − | 0.599407i | ||||
\(53\) | −8.95789e6 | − | 8.95789e6i | −1.13528 | − | 1.13528i | −0.989286 | − | 0.145992i | \(-0.953363\pi\) |
−0.145992 | − | 0.989286i | \(-0.546637\pi\) | |||||||
\(54\) | −1.07274e6 | + | 1.23575e6i | −0.126159 | + | 0.145330i | ||||
\(55\) | 5.52495e6 | 0.603778 | ||||||||
\(56\) | 8.86797e6 | − | 1.90399e6i | 0.901721 | − | 0.193603i | ||||
\(57\) | − | 6.86908e6i | − | 0.650727i | ||||||
\(58\) | 1.23340e7 | − | 1.42082e7i | 1.08991 | − | 1.25553i | ||||
\(59\) | −1.61116e6 | + | 1.61116e6i | −0.132963 | + | 0.132963i | −0.770456 | − | 0.637493i | \(-0.779971\pi\) |
0.637493 | + | 0.770456i | \(0.279971\pi\) | |||||||
\(60\) | −372749. | − | 2.62616e6i | −0.0287615 | − | 0.202635i | ||||
\(61\) | −5.64933e6 | + | 5.64933e6i | −0.408017 | + | 0.408017i | −0.881046 | − | 0.473030i | \(-0.843160\pi\) |
0.473030 | + | 0.881046i | \(0.343160\pi\) | |||||||
\(62\) | −1.21927e6 | − | 1.72665e7i | −0.0825148 | − | 1.16852i | ||||
\(63\) | − | 4.84283e6i | − | 0.307423i | ||||||
\(64\) | 1.52986e7 | − | 6.88680e6i | 0.911867 | − | 0.410485i | ||||
\(65\) | 4.74445e6 | 0.265786 | ||||||||
\(66\) | 1.86125e7 | − | 1.31432e6i | 0.980911 | − | 0.0692667i | ||||
\(67\) | 5.04547e6 | + | 5.04547e6i | 0.250382 | + | 0.250382i | 0.821127 | − | 0.570745i | \(-0.193346\pi\) |
−0.570745 | + | 0.821127i | \(0.693346\pi\) | |||||||
\(68\) | −3.76080e7 | + | 5.33797e6i | −1.75891 | + | 0.249655i | ||||
\(69\) | 6.56569e6 | + | 6.56569e6i | 0.289657 | + | 0.289657i | ||||
\(70\) | 5.92783e6 | + | 5.14586e6i | 0.246890 | + | 0.214322i | ||||
\(71\) | −2.68493e7 | −1.05657 | −0.528286 | − | 0.849066i | \(-0.677165\pi\) | ||||
−0.528286 | + | 0.849066i | \(0.677165\pi\) | |||||||
\(72\) | −1.88045e6 | − | 8.75836e6i | −0.0699733 | − | 0.325906i | ||||
\(73\) | 5.97707e6i | 0.210473i | 0.994447 | + | 0.105237i | \(0.0335600\pi\) | ||||
−0.994447 | + | 0.105237i | \(0.966440\pi\) | |||||||
\(74\) | −1.29263e7 | − | 1.12212e7i | −0.431070 | − | 0.374206i | ||||
\(75\) | −1.12940e7 | + | 1.12940e7i | −0.356946 | + | 0.356946i | ||||
\(76\) | 3.00615e7 | + | 2.25885e7i | 0.901064 | + | 0.677068i | ||||
\(77\) | −3.90460e7 | + | 3.90460e7i | −1.11074 | + | 1.11074i | ||||
\(78\) | 1.59832e7 | − | 1.12865e6i | 0.431802 | − | 0.0304916i | ||||
\(79\) | 5.23833e6i | 0.134488i | 0.997737 | + | 0.0672442i | \(0.0214206\pi\) | ||||
−0.997737 | + | 0.0672442i | \(0.978579\pi\) | |||||||
\(80\) | 1.27187e7 | + | 7.00465e6i | 0.310516 | + | 0.171012i | ||||
\(81\) | −4.78297e6 | −0.111111 | ||||||||
\(82\) | −6.03704e6 | − | 8.54927e7i | −0.133527 | − | 1.89092i | ||||
\(83\) | 2.72340e7 | + | 2.72340e7i | 0.573851 | + | 0.573851i | 0.933202 | − | 0.359351i | \(-0.117002\pi\) |
−0.359351 | + | 0.933202i | \(0.617002\pi\) | |||||||
\(84\) | 2.11939e7 | + | 1.59253e7i | 0.425690 | + | 0.319868i | ||||
\(85\) | −2.32457e7 | − | 2.32457e7i | −0.445315 | − | 0.445315i | ||||
\(86\) | 1.11565e7 | − | 1.28519e7i | 0.203956 | − | 0.234949i | ||||
\(87\) | 5.49928e7 | 0.959907 | ||||||||
\(88\) | −5.54541e7 | + | 8.57769e7i | −0.924704 | + | 1.43034i | ||||
\(89\) | − | 4.38209e7i | − | 0.698428i | −0.937043 | − | 0.349214i | \(-0.886449\pi\) | ||
0.937043 | − | 0.349214i | \(-0.113551\pi\) | |||||||
\(90\) | 5.08226e6 | − | 5.85456e6i | 0.0774616 | − | 0.0892327i | ||||
\(91\) | −3.35301e7 | + | 3.35301e7i | −0.488955 | + | 0.488955i | ||||
\(92\) | −5.03245e7 | + | 7.14292e6i | −0.702471 | + | 0.0997067i | ||||
\(93\) | 3.57745e7 | − | 3.57745e7i | 0.478235 | − | 0.478235i | ||||
\(94\) | −2.30456e6 | − | 3.26357e7i | −0.0295173 | − | 0.418006i | ||||
\(95\) | 3.25433e7i | 0.399546i | ||||||||
\(96\) | 4.45133e7 | + | 2.05717e7i | 0.524089 | + | 0.242207i | ||||
\(97\) | 1.81696e7 | 0.205238 | 0.102619 | − | 0.994721i | \(-0.467278\pi\) | ||||
0.102619 | + | 0.994721i | \(0.467278\pi\) | |||||||
\(98\) | 1.37475e7 | − | 970778.i | 0.149046 | − | 0.0105248i | ||||
\(99\) | 3.85634e7 | + | 3.85634e7i | 0.401452 | + | 0.401452i | ||||
\(100\) | −1.22869e7 | − | 8.65659e7i | −0.122869 | − | 0.865659i | ||||
\(101\) | −6.02910e7 | − | 6.02910e7i | −0.579385 | − | 0.579385i | 0.355349 | − | 0.934734i | \(-0.384362\pi\) |
−0.934734 | + | 0.355349i | \(0.884362\pi\) | |||||||
\(102\) | −8.38405e7 | − | 7.27807e7i | −0.774556 | − | 0.672381i | ||||
\(103\) | 4.24328e7 | 0.377010 | 0.188505 | − | 0.982072i | \(-0.439636\pi\) | ||||
0.188505 | + | 0.982072i | \(0.439636\pi\) | |||||||
\(104\) | −4.76202e7 | + | 7.36594e7i | −0.407059 | + | 0.629644i | ||||
\(105\) | 2.29436e7i | 0.188758i | ||||||||
\(106\) | 1.53066e8 | + | 1.32874e8i | 1.21243 | + | 1.05249i | ||||
\(107\) | −2.58816e7 | + | 2.58816e7i | −0.197449 | + | 0.197449i | −0.798906 | − | 0.601456i | \(-0.794587\pi\) |
0.601456 | + | 0.798906i | \(0.294587\pi\) | |||||||
\(108\) | 1.57285e7 | − | 2.09319e7i | 0.115609 | − | 0.153856i | ||||
\(109\) | −1.35469e8 | + | 1.35469e8i | −0.959697 | + | 0.959697i | −0.999219 | − | 0.0395215i | \(-0.987417\pi\) |
0.0395215 | + | 0.999219i | \(0.487417\pi\) | |||||||
\(110\) | −8.81796e7 | + | 6.22678e6i | −0.602279 | + | 0.0425297i | ||||
\(111\) | − | 5.00312e7i | − | 0.329571i | ||||||
\(112\) | −1.39389e8 | + | 4.03826e7i | −0.885844 | + | 0.256639i | ||||
\(113\) | −1.90770e8 | −1.17003 | −0.585014 | − | 0.811023i | \(-0.698911\pi\) | ||||
−0.585014 | + | 0.811023i | \(0.698911\pi\) | |||||||
\(114\) | 7.74165e6 | + | 1.09632e8i | 0.0458368 | + | 0.649111i | ||||
\(115\) | −3.11059e7 | − | 3.11059e7i | −0.177849 | − | 0.177849i | ||||
\(116\) | −1.80840e8 | + | 2.40668e8i | −0.998763 | + | 1.32919i | ||||
\(117\) | 3.31156e7 | + | 3.31156e7i | 0.176721 | + | 0.176721i | ||||
\(118\) | 2.38987e7 | − | 2.75303e7i | 0.123267 | − | 0.141998i | ||||
\(119\) | 3.28565e8 | 1.63845 | ||||||||
\(120\) | 8.90892e6 | + | 4.14940e7i | 0.0429635 | + | 0.200106i | ||||
\(121\) | − | 4.07486e8i | − | 1.90095i | ||||||
\(122\) | 8.37978e7 | − | 9.65318e7i | 0.378263 | − | 0.435743i | ||||
\(123\) | 1.77133e8 | − | 1.77133e8i | 0.773888 | − | 0.773888i | ||||
\(124\) | 3.89196e7 | + | 2.74203e8i | 0.164620 | + | 1.15981i | ||||
\(125\) | 1.14704e8 | − | 1.14704e8i | 0.469829 | − | 0.469829i | ||||
\(126\) | 5.45801e6 | + | 7.72928e7i | 0.0216547 | + | 0.306660i | ||||
\(127\) | 3.44808e8i | 1.32545i | 0.748864 | + | 0.662723i | \(0.230599\pi\) | ||||
−0.748864 | + | 0.662723i | \(0.769401\pi\) | |||||||
\(128\) | −2.36408e8 | + | 1.27157e8i | −0.880688 | + | 0.473697i | ||||
\(129\) | 4.97431e7 | 0.179628 | ||||||||
\(130\) | −7.57227e7 | + | 5.34713e6i | −0.265126 | + | 0.0187218i | ||||
\(131\) | 1.19049e8 | + | 1.19049e8i | 0.404242 | + | 0.404242i | 0.879725 | − | 0.475483i | \(-0.157727\pi\) |
−0.475483 | + | 0.879725i | \(0.657727\pi\) | |||||||
\(132\) | −2.95580e8 | + | 4.19537e7i | −0.973596 | + | 0.138189i | ||||
\(133\) | −2.29990e8 | − | 2.29990e8i | −0.735026 | − | 0.735026i | ||||
\(134\) | −8.62134e7 | − | 7.48406e7i | −0.267396 | − | 0.232123i | ||||
\(135\) | 2.26600e7 | 0.0682221 | ||||||||
\(136\) | 5.94217e8 | − | 1.27581e8i | 1.73696 | − | 0.372931i | ||||
\(137\) | − | 2.33281e8i | − | 0.662211i | −0.943594 | − | 0.331106i | \(-0.892578\pi\) | ||
0.943594 | − | 0.331106i | \(-0.107422\pi\) | |||||||
\(138\) | −1.12190e8 | − | 9.73904e7i | −0.309341 | − | 0.268534i | ||||
\(139\) | 4.59460e8 | − | 4.59460e8i | 1.23080 | − | 1.23080i | 0.267147 | − | 0.963656i | \(-0.413919\pi\) |
0.963656 | − | 0.267147i | \(-0.0860810\pi\) | |||||||
\(140\) | −1.00409e8 | − | 7.54485e7i | −0.261373 | − | 0.196399i | ||||
\(141\) | 6.76181e7 | − | 6.76181e7i | 0.171075 | − | 0.171075i | ||||
\(142\) | 4.28521e8 | − | 3.02599e7i | 1.05395 | − | 0.0744242i | ||||
\(143\) | − | 5.33999e8i | − | 1.27701i | ||||||
\(144\) | 3.98834e7 | + | 1.37666e8i | 0.0927561 | + | 0.320168i | ||||
\(145\) | −2.60537e8 | −0.589382 | ||||||||
\(146\) | −6.73633e6 | − | 9.53956e7i | −0.0148256 | − | 0.209951i | ||||
\(147\) | 2.84836e7 | + | 2.84836e7i | 0.0609993 | + | 0.0609993i | ||||
\(148\) | 2.18954e8 | + | 1.64524e8i | 0.456358 | + | 0.342912i | ||||
\(149\) | 8.33726e6 | + | 8.33726e6i | 0.0169152 | + | 0.0169152i | 0.715514 | − | 0.698599i | \(-0.246193\pi\) |
−0.698599 | + | 0.715514i | \(0.746193\pi\) | |||||||
\(150\) | 1.67526e8 | − | 1.92984e8i | 0.330916 | − | 0.381202i | ||||
\(151\) | 4.82778e8 | 0.928624 | 0.464312 | − | 0.885672i | \(-0.346302\pi\) | ||||
0.464312 | + | 0.885672i | \(0.346302\pi\) | |||||||
\(152\) | −5.05246e8 | − | 3.26638e8i | −0.946518 | − | 0.611916i | ||||
\(153\) | − | 3.24504e8i | − | 0.592181i | ||||||
\(154\) | 5.79178e8 | − | 6.67190e8i | 1.02974 | − | 1.18622i | ||||
\(155\) | −1.69487e8 | + | 1.69487e8i | −0.293636 | + | 0.293636i | ||||
\(156\) | −2.53824e8 | + | 3.60270e7i | −0.428582 | + | 0.0608317i | ||||
\(157\) | −3.33744e8 | + | 3.33744e8i | −0.549306 | + | 0.549306i | −0.926240 | − | 0.376934i | \(-0.876978\pi\) |
0.376934 | + | 0.926240i | \(0.376978\pi\) | |||||||
\(158\) | −5.90375e6 | − | 8.36051e7i | −0.00947326 | − | 0.134154i | ||||
\(159\) | 5.92441e8i | 0.926950i | ||||||||
\(160\) | −2.10888e8 | − | 9.74616e7i | −0.321790 | − | 0.148715i | ||||
\(161\) | 4.39664e8 | 0.654362 | ||||||||
\(162\) | 7.63374e7 | − | 5.39054e6i | 0.110835 | − | 0.00782659i | ||||
\(163\) | −2.08056e8 | − | 2.08056e8i | −0.294734 | − | 0.294734i | 0.544213 | − | 0.838947i | \(-0.316828\pi\) |
−0.838947 | + | 0.544213i | \(0.816828\pi\) | |||||||
\(164\) | 1.92705e8 | + | 1.35768e9i | 0.266390 | + | 1.87682i | ||||
\(165\) | −1.82700e8 | − | 1.82700e8i | −0.246492 | − | 0.246492i | ||||
\(166\) | −4.65355e8 | − | 4.03968e8i | −0.612847 | − | 0.532004i | ||||
\(167\) | 1.17457e9 | 1.51013 | 0.755063 | − | 0.655652i | \(-0.227606\pi\) | ||||
0.755063 | + | 0.655652i | \(0.227606\pi\) | |||||||
\(168\) | −3.56208e8 | − | 2.30286e8i | −0.447164 | − | 0.289088i | ||||
\(169\) | 3.57169e8i | 0.437852i | ||||||||
\(170\) | 3.97207e8 | + | 3.44809e8i | 0.475577 | + | 0.412842i | ||||
\(171\) | −2.27147e8 | + | 2.27147e8i | −0.265658 | + | 0.265658i | ||||
\(172\) | −1.63577e8 | + | 2.17693e8i | −0.186899 | + | 0.248731i | ||||
\(173\) | −3.64925e8 | + | 3.64925e8i | −0.407399 | + | 0.407399i | −0.880831 | − | 0.473432i | \(-0.843015\pi\) |
0.473432 | + | 0.880831i | \(0.343015\pi\) | |||||||
\(174\) | −8.77700e8 | + | 6.19785e7i | −0.957522 | + | 0.0676151i | ||||
\(175\) | 7.56290e8i | 0.806373i | ||||||||
\(176\) | 7.88388e8 | − | 1.43152e9i | 0.821655 | − | 1.49192i | ||||
\(177\) | 1.06556e8 | 0.108564 | ||||||||
\(178\) | 4.93874e7 | + | 6.99393e8i | 0.0491967 | + | 0.696693i | ||||
\(179\) | −6.70515e8 | − | 6.70515e8i | −0.653125 | − | 0.653125i | 0.300619 | − | 0.953744i | \(-0.402807\pi\) |
−0.953744 | + | 0.300619i | \(0.902807\pi\) | |||||||
\(180\) | −7.45159e7 | + | 9.91681e7i | −0.0709837 | + | 0.0944674i | ||||
\(181\) | −3.92064e8 | − | 3.92064e8i | −0.365294 | − | 0.365294i | 0.500463 | − | 0.865758i | \(-0.333163\pi\) |
−0.865758 | + | 0.500463i | \(0.833163\pi\) | |||||||
\(182\) | 4.97359e8 | − | 5.72938e8i | 0.453299 | − | 0.522182i | ||||
\(183\) | 3.73626e8 | 0.333144 | ||||||||
\(184\) | 7.95142e8 | − | 1.70720e8i | 0.693703 | − | 0.148941i | ||||
\(185\) | 2.37030e8i | 0.202356i | ||||||||
\(186\) | −5.30651e8 | + | 6.11289e8i | −0.443361 | + | 0.510734i | ||||
\(187\) | −2.61636e9 | + | 2.61636e9i | −2.13959 | + | 2.13959i | ||||
\(188\) | 7.35628e7 | + | 5.18278e8i | 0.0588880 | + | 0.414888i | ||||
\(189\) | −1.60143e8 | + | 1.60143e8i | −0.125505 | + | 0.125505i | ||||
\(190\) | −3.66772e7 | − | 5.19399e8i | −0.0281437 | − | 0.398554i | ||||
\(191\) | 1.64913e9i | 1.23914i | 0.784940 | + | 0.619572i | \(0.212694\pi\) | ||||
−0.784940 | + | 0.619572i | \(0.787306\pi\) | |||||||
\(192\) | −7.33629e8 | − | 2.78162e8i | −0.539848 | − | 0.204688i | ||||
\(193\) | −2.45627e9 | −1.77030 | −0.885151 | − | 0.465304i | \(-0.845945\pi\) | ||||
−0.885151 | + | 0.465304i | \(0.845945\pi\) | |||||||
\(194\) | −2.89992e8 | + | 2.04777e7i | −0.204729 | + | 0.0144568i | ||||
\(195\) | −1.56890e8 | − | 1.56890e8i | −0.108507 | − | 0.108507i | ||||
\(196\) | −2.18320e8 | + | 3.09877e7i | −0.147934 | + | 0.0209974i | ||||
\(197\) | 1.67390e9 | + | 1.67390e9i | 1.11139 | + | 1.11139i | 0.992963 | + | 0.118423i | \(0.0377840\pi\) |
0.118423 | + | 0.992963i | \(0.462216\pi\) | |||||||
\(198\) | −6.58943e8 | − | 5.72019e8i | −0.428733 | − | 0.372177i | ||||
\(199\) | −2.24059e9 | −1.42873 | −0.714365 | − | 0.699773i | \(-0.753284\pi\) | ||||
−0.714365 | + | 0.699773i | \(0.753284\pi\) | |||||||
\(200\) | 2.93664e8 | + | 1.36777e9i | 0.183540 | + | 0.854854i | ||||
\(201\) | − | 3.33688e8i | − | 0.204436i | ||||||
\(202\) | 1.03021e9 | + | 8.94310e8i | 0.618757 | + | 0.537134i | ||||
\(203\) | 1.84127e9 | − | 1.84127e9i | 1.08426 | − | 1.08426i | ||||
\(204\) | 1.42014e9 | + | 1.06711e9i | 0.819994 | + | 0.616152i | ||||
\(205\) | −8.39192e8 | + | 8.39192e8i | −0.475167 | + | 0.475167i | ||||
\(206\) | −6.77238e8 | + | 4.78230e7i | −0.376073 | + | 0.0265563i | ||||
\(207\) | − | 4.34230e8i | − | 0.236504i | ||||||
\(208\) | 6.77014e8 | − | 1.22929e9i | 0.361697 | − | 0.656753i | ||||
\(209\) | 3.66282e9 | 1.91969 | ||||||||
\(210\) | −2.58581e7 | − | 3.66186e8i | −0.0132960 | − | 0.188289i | ||||
\(211\) | −1.95649e9 | − | 1.95649e9i | −0.987067 | − | 0.987067i | 0.0128502 | − | 0.999917i | \(-0.495910\pi\) |
−0.999917 | + | 0.0128502i | \(0.995910\pi\) | |||||||
\(212\) | −2.59273e9 | − | 1.94820e9i | −1.28355 | − | 0.964473i | ||||
\(213\) | 8.87855e8 | + | 8.87855e8i | 0.431344 | + | 0.431344i | ||||
\(214\) | 3.83908e8 | − | 4.42246e8i | 0.183051 | − | 0.210867i | ||||
\(215\) | −2.35665e8 | −0.110291 | ||||||||
\(216\) | −2.27439e8 | + | 3.51805e8i | −0.104484 | + | 0.161617i | ||||
\(217\) | − | 2.39560e9i | − | 1.08038i | ||||||
\(218\) | 2.00944e9 | − | 2.31480e9i | 0.889713 | − | 1.02491i | ||||
\(219\) | 1.97651e8 | − | 1.97651e8i | 0.0859254 | − | 0.0859254i | ||||
\(220\) | 1.40035e9 | − | 1.98762e8i | 0.597787 | − | 0.0848482i | ||||
\(221\) | −2.24675e9 | + | 2.24675e9i | −0.941859 | + | 0.941859i | ||||
\(222\) | 5.63866e7 | + | 7.98511e8i | 0.0232148 | + | 0.328753i | ||||
\(223\) | 9.08342e8i | 0.367308i | 0.982991 | + | 0.183654i | \(0.0587926\pi\) | ||||
−0.982991 | + | 0.183654i | \(0.941207\pi\) | |||||||
\(224\) | 2.17918e9 | − | 8.01612e8i | 0.865566 | − | 0.318399i | ||||
\(225\) | 7.46942e8 | 0.291445 | ||||||||
\(226\) | 3.04474e9 | − | 2.15003e8i | 1.16712 | − | 0.0824159i | ||||
\(227\) | −2.36260e9 | − | 2.36260e9i | −0.889789 | − | 0.889789i | 0.104714 | − | 0.994502i | \(-0.466607\pi\) |
−0.994502 | + | 0.104714i | \(0.966607\pi\) | |||||||
\(228\) | −2.47117e8 | − | 1.74103e9i | −0.0914458 | − | 0.644270i | ||||
\(229\) | 2.55958e9 | + | 2.55958e9i | 0.930738 | + | 0.930738i | 0.997752 | − | 0.0670143i | \(-0.0213473\pi\) |
−0.0670143 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(230\) | 5.31516e8 | + | 4.61401e8i | 0.189935 | + | 0.164880i | ||||
\(231\) | 2.58236e9 | 0.906918 | ||||||||
\(232\) | 2.61501e9 | − | 4.04493e9i | 0.902655 | − | 1.39624i | ||||
\(233\) | − | 1.77202e9i | − | 0.601236i | −0.953745 | − | 0.300618i | \(-0.902807\pi\) | ||
0.953745 | − | 0.300618i | \(-0.0971930\pi\) | |||||||
\(234\) | −5.65856e8 | − | 4.91211e8i | −0.188731 | − | 0.163834i | ||||
\(235\) | −3.20351e8 | + | 3.20351e8i | −0.105040 | + | 0.105040i | ||||
\(236\) | −3.50401e8 | + | 4.66325e8i | −0.112958 | + | 0.150328i | ||||
\(237\) | 1.73222e8 | − | 1.73222e8i | 0.0549046 | − | 0.0549046i | ||||
\(238\) | −5.24399e9 | + | 3.70302e8i | −1.63438 | + | 0.115411i | ||||
\(239\) | − | 4.59510e8i | − | 0.140833i | −0.997518 | − | 0.0704164i | \(-0.977567\pi\) | ||
0.997518 | − | 0.0704164i | \(-0.0224328\pi\) | |||||||
\(240\) | −1.88954e8 | − | 6.52215e8i | −0.0569522 | − | 0.196583i | ||||
\(241\) | 1.61303e9 | 0.478161 | 0.239080 | − | 0.971000i | \(-0.423154\pi\) | ||||
0.239080 | + | 0.971000i | \(0.423154\pi\) | |||||||
\(242\) | 4.59249e8 | + | 6.50359e9i | 0.133902 | + | 1.89623i | ||||
\(243\) | 1.58164e8 | + | 1.58164e8i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −1.22864e9 | + | 1.63511e9i | −0.346630 | + | 0.461306i | ||||
\(245\) | −1.34945e8 | − | 1.34945e8i | −0.0374535 | − | 0.0374535i | ||||
\(246\) | −2.62745e9 | + | 3.02672e9i | −0.717454 | + | 0.826478i | ||||
\(247\) | 3.14538e9 | 0.845055 | ||||||||
\(248\) | −9.30202e8 | − | 4.33249e9i | −0.245907 | − | 1.14533i | ||||
\(249\) | − | 1.80115e9i | − | 0.468548i | ||||||
\(250\) | −1.70143e9 | + | 1.95998e9i | −0.435567 | + | 0.501756i | ||||
\(251\) | −2.03896e9 | + | 2.03896e9i | −0.513706 | + | 0.513706i | −0.915660 | − | 0.401954i | \(-0.868331\pi\) |
0.401954 | + | 0.915660i | \(0.368331\pi\) | |||||||
\(252\) | −1.74222e8 | − | 1.22746e9i | −0.0432018 | − | 0.304373i | ||||
\(253\) | −3.50104e9 | + | 3.50104e9i | −0.854506 | + | 0.854506i | ||||
\(254\) | −3.88608e8 | − | 5.50322e9i | −0.0933635 | − | 1.32215i | ||||
\(255\) | 1.53739e9i | 0.363598i | ||||||||
\(256\) | 3.62982e9 | − | 2.29590e9i | 0.845134 | − | 0.534555i | ||||
\(257\) | 3.42454e9 | 0.785001 | 0.392500 | − | 0.919752i | \(-0.371610\pi\) | ||||
0.392500 | + | 0.919752i | \(0.371610\pi\) | |||||||
\(258\) | −7.93913e8 | + | 5.60619e7i | −0.179182 | + | 0.0126529i | ||||
\(259\) | −1.67514e9 | − | 1.67514e9i | −0.372266 | − | 0.372266i | ||||
\(260\) | 1.20253e9 | − | 1.70683e8i | 0.263149 | − | 0.0373506i | ||||
\(261\) | −1.81851e9 | − | 1.81851e9i | −0.391880 | − | 0.391880i | ||||
\(262\) | −2.03423e9 | − | 1.76589e9i | −0.431713 | − | 0.374764i | ||||
\(263\) | 5.58240e9 | 1.16680 | 0.583402 | − | 0.812184i | \(-0.301721\pi\) | ||||
0.583402 | + | 0.812184i | \(0.301721\pi\) | |||||||
\(264\) | 4.67024e9 | − | 1.00272e9i | 0.961443 | − | 0.206425i | ||||
\(265\) | − | 2.80678e9i | − | 0.569147i | ||||||
\(266\) | 3.92991e9 | + | 3.41150e9i | 0.784975 | + | 0.681426i | ||||
\(267\) | −1.44907e9 | + | 1.44907e9i | −0.285132 | + | 0.285132i | ||||
\(268\) | 1.46034e9 | + | 1.09731e9i | 0.283083 | + | 0.212711i | ||||
\(269\) | 1.42926e8 | − | 1.42926e8i | 0.0272961 | − | 0.0272961i | −0.693327 | − | 0.720623i | \(-0.743856\pi\) |
0.720623 | + | 0.693327i | \(0.243856\pi\) | |||||||
\(270\) | −3.61660e8 | + | 2.55385e7i | −0.0680527 | + | 0.00480552i | ||||
\(271\) | − | 8.16306e9i | − | 1.51348i | −0.653718 | − | 0.756739i | \(-0.726792\pi\) | ||
0.653718 | − | 0.756739i | \(-0.273208\pi\) | |||||||
\(272\) | −9.34007e9 | + | 2.70592e9i | −1.70637 | + | 0.494355i | ||||
\(273\) | 2.21755e9 | 0.399230 | ||||||||
\(274\) | 2.62914e8 | + | 3.72322e9i | 0.0466457 | + | 0.660566i | ||||
\(275\) | −6.02232e9 | − | 6.02232e9i | −1.05301 | − | 1.05301i | ||||
\(276\) | 1.90034e9 | + | 1.42793e9i | 0.327488 | + | 0.246077i | ||||
\(277\) | 5.12840e8 | + | 5.12840e8i | 0.0871089 | + | 0.0871089i | 0.749319 | − | 0.662210i | \(-0.230381\pi\) |
−0.662210 | + | 0.749319i | \(0.730381\pi\) | |||||||
\(278\) | −6.81528e9 | + | 7.85092e9i | −1.14105 | + | 1.31444i | ||||
\(279\) | −2.36599e9 | −0.390477 | ||||||||
\(280\) | 1.68759e9 | + | 1.09101e9i | 0.274558 | + | 0.177500i | ||||
\(281\) | 4.92693e9i | 0.790225i | 0.918633 | + | 0.395113i | \(0.129294\pi\) | ||||
−0.918633 | + | 0.395113i | \(0.870706\pi\) | |||||||
\(282\) | −1.00299e9 | + | 1.15541e9i | −0.158600 | + | 0.182700i | ||||
\(283\) | 8.15290e8 | − | 8.15290e8i | 0.127106 | − | 0.127106i | −0.640692 | − | 0.767798i | \(-0.721352\pi\) |
0.767798 | + | 0.640692i | \(0.221352\pi\) | |||||||
\(284\) | −6.80521e9 | + | 9.65911e8i | −1.04609 | + | 0.148479i | ||||
\(285\) | 1.07614e9 | − | 1.07614e9i | 0.163114 | − | 0.163114i | ||||
\(286\) | 6.01832e8 | + | 8.52275e9i | 0.0899520 | + | 1.27384i | ||||
\(287\) | − | 1.18615e10i | − | 1.74828i | ||||||
\(288\) | −7.91703e8 | − | 2.15224e9i | −0.115078 | − | 0.312839i | ||||
\(289\) | 1.50404e10 | 2.15610 | ||||||||
\(290\) | 4.15823e9 | − | 2.93632e8i | 0.587918 | − | 0.0415156i | ||||
\(291\) | −6.00834e8 | − | 6.00834e8i | −0.0837882 | − | 0.0837882i | ||||
\(292\) | 2.15027e8 | + | 1.51495e9i | 0.0295775 | + | 0.208385i | ||||
\(293\) | 5.18980e9 | + | 5.18980e9i | 0.704174 | + | 0.704174i | 0.965304 | − | 0.261129i | \(-0.0840949\pi\) |
−0.261129 | + | 0.965304i | \(0.584095\pi\) | |||||||
\(294\) | −4.86707e8 | − | 4.22503e8i | −0.0651446 | − | 0.0565511i | ||||
\(295\) | −5.04824e8 | −0.0666580 | ||||||||
\(296\) | −3.67998e9 | − | 2.37908e9i | −0.479379 | − | 0.309915i | ||||
\(297\) | − | 2.55044e9i | − | 0.327785i | ||||||
\(298\) | −1.42461e8 | − | 1.23668e8i | −0.0180647 | − | 0.0156817i | ||||
\(299\) | −3.00646e9 | + | 3.00646e9i | −0.376158 | + | 0.376158i | ||||
\(300\) | −2.45626e9 | + | 3.26887e9i | −0.303243 | + | 0.403565i | ||||
\(301\) | 1.66550e9 | − | 1.66550e9i | 0.202898 | − | 0.202898i | ||||
\(302\) | −7.70526e9 | + | 5.44105e8i | −0.926317 | + | 0.0654116i | ||||
\(303\) | 3.98742e9i | 0.473066i | ||||||||
\(304\) | 8.43199e9 | + | 4.64380e9i | 0.987270 | + | 0.543724i | ||||
\(305\) | −1.77011e9 | −0.204550 | ||||||||
\(306\) | 3.65725e8 | + | 5.17917e9i | 0.0417128 | + | 0.590710i | ||||
\(307\) | 3.88759e9 | + | 3.88759e9i | 0.437650 | + | 0.437650i | 0.891220 | − | 0.453570i | \(-0.149850\pi\) |
−0.453570 | + | 0.891220i | \(0.649850\pi\) | |||||||
\(308\) | −8.49189e9 | + | 1.13013e10i | −0.943630 | + | 1.25581i | ||||
\(309\) | −1.40317e9 | − | 1.40317e9i | −0.153914 | − | 0.153914i | ||||
\(310\) | 2.51404e9 | − | 2.89607e9i | 0.272223 | − | 0.313590i | ||||
\(311\) | −9.36764e9 | −1.00136 | −0.500678 | − | 0.865633i | \(-0.666916\pi\) | ||||
−0.500678 | + | 0.865633i | \(0.666916\pi\) | |||||||
\(312\) | 4.01049e9 | − | 8.61067e8i | 0.423232 | − | 0.0908696i | ||||
\(313\) | − | 1.52837e10i | − | 1.59240i | −0.605033 | − | 0.796200i | \(-0.706840\pi\) | ||
0.605033 | − | 0.796200i | \(-0.293160\pi\) | |||||||
\(314\) | 4.95050e9 | − | 5.70277e9i | 0.509249 | − | 0.586634i | ||||
\(315\) | 7.58702e8 | − | 7.58702e8i | 0.0770600 | − | 0.0770600i | ||||
\(316\) | 1.88451e8 | + | 1.32771e9i | 0.0188995 | + | 0.133154i | ||||
\(317\) | −1.13318e10 | + | 1.13318e10i | −1.12217 | + | 1.12217i | −0.130761 | + | 0.991414i | \(0.541742\pi\) |
−0.991414 | + | 0.130761i | \(0.958258\pi\) | |||||||
\(318\) | −6.67698e8 | − | 9.45551e9i | −0.0652937 | − | 0.924648i | ||||
\(319\) | 2.93240e10i | 2.83178i | ||||||||
\(320\) | 3.47568e9 | + | 1.31784e9i | 0.331466 | + | 0.125679i | ||||
\(321\) | 1.71171e9 | 0.161217 | ||||||||
\(322\) | −7.01716e9 | + | 4.95514e8i | −0.652736 | + | 0.0460928i | ||||
\(323\) | −1.54110e10 | − | 1.54110e10i | −1.41586 | − | 1.41586i | ||||
\(324\) | −1.21229e9 | + | 1.72069e8i | −0.110009 | + | 0.0156143i | ||||
\(325\) | −5.17156e9 | − | 5.17156e9i | −0.463541 | − | 0.463541i | ||||
\(326\) | 3.55511e9 | + | 3.08614e9i | 0.314763 | + | 0.273241i | ||||
\(327\) | 8.95941e9 | 0.783590 | ||||||||
\(328\) | −4.60577e9 | − | 2.14518e10i | −0.397931 | − | 1.85339i | ||||
\(329\) | − | 4.52798e9i | − | 0.386474i | ||||||
\(330\) | 3.12184e9 | + | 2.71003e9i | 0.263242 | + | 0.228517i | ||||
\(331\) | 4.13611e9 | − | 4.13611e9i | 0.344572 | − | 0.344572i | −0.513511 | − | 0.858083i | \(-0.671655\pi\) |
0.858083 | + | 0.513511i | \(0.171655\pi\) | |||||||
\(332\) | 7.88248e9 | + | 5.92297e9i | 0.648799 | + | 0.487514i | ||||
\(333\) | −1.65444e9 | + | 1.65444e9i | −0.134547 | + | 0.134547i | ||||
\(334\) | −1.87464e10 | + | 1.32377e9i | −1.50637 | + | 0.106372i | ||||
\(335\) | 1.58090e9i | 0.125523i | ||||||||
\(336\) | 5.94471e9 | + | 3.27396e9i | 0.466417 | + | 0.256872i | ||||
\(337\) | −4.83515e9 | −0.374878 | −0.187439 | − | 0.982276i | \(-0.560019\pi\) | ||||
−0.187439 | + | 0.982276i | \(0.560019\pi\) | |||||||
\(338\) | −4.02540e8 | − | 5.70051e9i | −0.0308420 | − | 0.436764i | ||||
\(339\) | 6.30840e9 | + | 6.30840e9i | 0.477662 | + | 0.477662i | ||||
\(340\) | −6.72813e9 | − | 5.05558e9i | −0.503476 | − | 0.378317i | ||||
\(341\) | 1.90761e10 | + | 1.90761e10i | 1.41082 | + | 1.41082i | ||||
\(342\) | 3.36933e9 | − | 3.88133e9i | 0.246286 | − | 0.283711i | ||||
\(343\) | 1.46728e10 | 1.06007 | ||||||||
\(344\) | 2.36538e9 | − | 3.65879e9i | 0.168915 | − | 0.261279i | ||||
\(345\) | 2.05723e9i | 0.145213i | ||||||||
\(346\) | 5.41302e9 | − | 6.23559e9i | 0.377690 | − | 0.435084i | ||||
\(347\) | 7.33469e9 | − | 7.33469e9i | 0.505899 | − | 0.505899i | −0.407366 | − | 0.913265i | \(-0.633553\pi\) |
0.913265 | + | 0.407366i | \(0.133553\pi\) | |||||||
\(348\) | 1.39385e10 | − | 1.97838e9i | 0.950381 | − | 0.134894i | ||||
\(349\) | 4.25862e9 | − | 4.25862e9i | 0.287056 | − | 0.287056i | −0.548859 | − | 0.835915i | \(-0.684938\pi\) |
0.835915 | + | 0.548859i | \(0.184938\pi\) | |||||||
\(350\) | −8.52360e8 | − | 1.20706e10i | −0.0568004 | − | 0.804370i | ||||
\(351\) | − | 2.19014e9i | − | 0.144292i | ||||||
\(352\) | −1.09695e10 | + | 2.37360e10i | −0.714524 | + | 1.54609i | ||||
\(353\) | −2.05080e10 | −1.32076 | −0.660380 | − | 0.750932i | \(-0.729605\pi\) | ||||
−0.660380 | + | 0.750932i | \(0.729605\pi\) | |||||||
\(354\) | −1.70066e9 | + | 1.20091e8i | −0.108294 | + | 0.00764714i | ||||
\(355\) | −4.20634e9 | − | 4.20634e9i | −0.264845 | − | 0.264845i | ||||
\(356\) | −1.57647e9 | − | 1.11068e10i | −0.0981491 | − | 0.691497i | ||||
\(357\) | −1.08650e10 | − | 1.08650e10i | −0.668895 | − | 0.668895i | ||||
\(358\) | 1.14573e10 | + | 9.94590e9i | 0.697508 | + | 0.605497i | ||||
\(359\) | −4.00049e9 | −0.240844 | −0.120422 | − | 0.992723i | \(-0.538425\pi\) | ||||
−0.120422 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(360\) | 1.07753e9 | − | 1.66673e9i | 0.0641532 | − | 0.0992328i | ||||
\(361\) | 4.59130e9i | 0.270338i | ||||||||
\(362\) | 6.69932e9 | + | 5.81558e9i | 0.390118 | + | 0.338656i | ||||
\(363\) | −1.34748e10 | + | 1.34748e10i | −0.776061 | + | 0.776061i | ||||
\(364\) | −7.29226e9 | + | 9.70477e9i | −0.415391 | + | 0.552815i | ||||
\(365\) | −9.36399e8 | + | 9.36399e8i | −0.0527581 | + | 0.0527581i | ||||
\(366\) | −5.96316e9 | + | 4.21087e8i | −0.332317 | + | 0.0234664i | ||||
\(367\) | 3.05584e9i | 0.168448i | 0.996447 | + | 0.0842240i | \(0.0268411\pi\) | ||||
−0.996447 | + | 0.0842240i | \(0.973159\pi\) | |||||||
\(368\) | −1.24983e10 | + | 3.62088e9i | −0.681488 | + | 0.197435i | ||||
\(369\) | −1.17149e10 | −0.631877 | ||||||||
\(370\) | −2.67140e8 | − | 3.78307e9i | −0.0142538 | − | 0.201854i | ||||
\(371\) | 1.98361e10 | + | 1.98361e10i | 1.04703 | + | 1.04703i | ||||
\(372\) | 7.78038e9 | − | 1.03544e10i | 0.406284 | − | 0.540695i | ||||
\(373\) | −2.05293e9 | − | 2.05293e9i | −0.106057 | − | 0.106057i | 0.652087 | − | 0.758144i | \(-0.273894\pi\) |
−0.758144 | + | 0.652087i | \(0.773894\pi\) | |||||||
\(374\) | 3.88090e10 | − | 4.47065e10i | 1.98357 | − | 2.28499i | ||||
\(375\) | −7.58611e9 | −0.383613 | ||||||||
\(376\) | −1.75820e9 | − | 8.18894e9i | −0.0879662 | − | 0.409710i | ||||
\(377\) | 2.51814e10i | 1.24657i | ||||||||
\(378\) | 2.37544e9 | − | 2.73641e9i | 0.116353 | − | 0.134034i | ||||
\(379\) | 1.75012e9 | − | 1.75012e9i | 0.0848226 | − | 0.0848226i | −0.663422 | − | 0.748245i | \(-0.730897\pi\) |
0.748245 | + | 0.663422i | \(0.230897\pi\) | |||||||
\(380\) | 1.17076e9 | + | 8.24841e9i | 0.0561477 | + | 0.395581i | ||||
\(381\) | 1.14021e10 | − | 1.14021e10i | 0.541111 | − | 0.541111i | ||||
\(382\) | −1.85862e9 | − | 2.63206e10i | −0.0872844 | − | 1.23607i | ||||
\(383\) | − | 9.52508e9i | − | 0.442663i | −0.975199 | − | 0.221332i | \(-0.928960\pi\) | ||
0.975199 | − | 0.221332i | \(-0.0710403\pi\) | |||||||
\(384\) | 1.20224e10 | + | 3.61272e9i | 0.552925 | + | 0.166153i | ||||
\(385\) | −1.22343e10 | −0.556847 | ||||||||
\(386\) | 3.92027e10 | − | 2.76829e9i | 1.76590 | − | 0.124699i | ||||
\(387\) | −1.64491e9 | − | 1.64491e9i | −0.0733328 | − | 0.0733328i | ||||
\(388\) | 4.60526e9 | − | 6.53658e8i | 0.203202 | − | 0.0288419i | ||||
\(389\) | −2.46644e10 | − | 2.46644e10i | −1.07714 | − | 1.07714i | −0.996765 | − | 0.0803740i | \(-0.974389\pi\) |
−0.0803740 | − | 0.996765i | \(-0.525611\pi\) | |||||||
\(390\) | 2.68083e9 | + | 2.32719e9i | 0.115880 | + | 0.100594i | ||||
\(391\) | 2.94606e10 | 1.26048 | ||||||||
\(392\) | 3.44952e9 | − | 7.40625e8i | 0.146088 | − | 0.0313656i | ||||
\(393\) | − | 7.87347e9i | − | 0.330062i | ||||||
\(394\) | −2.86024e10 | − | 2.48294e10i | −1.18691 | − | 1.03034i | ||||
\(395\) | −8.20664e8 | + | 8.20664e8i | −0.0337114 | + | 0.0337114i | ||||
\(396\) | 1.11616e10 | + | 8.38693e9i | 0.453884 | + | 0.341053i | ||||
\(397\) | −1.00962e10 | + | 1.00962e10i | −0.406441 | + | 0.406441i | −0.880495 | − | 0.474055i | \(-0.842790\pi\) |
0.474055 | + | 0.880495i | \(0.342790\pi\) | |||||||
\(398\) | 3.57604e10 | − | 2.52521e9i | 1.42518 | − | 0.100639i | ||||
\(399\) | 1.52107e10i | 0.600147i | ||||||||
\(400\) | −6.22847e9 | − | 2.14989e10i | −0.243300 | − | 0.839802i | ||||
\(401\) | 1.77965e10 | 0.688265 | 0.344133 | − | 0.938921i | \(-0.388173\pi\) | ||||
0.344133 | + | 0.938921i | \(0.388173\pi\) | |||||||
\(402\) | 3.76076e8 | + | 5.32575e9i | 0.0144003 | + | 0.203928i | ||||
\(403\) | 1.63813e10 | + | 1.63813e10i | 0.621051 | + | 0.621051i | ||||
\(404\) | −1.74503e10 | − | 1.31123e10i | −0.655055 | − | 0.492215i | ||||
\(405\) | −7.49324e8 | − | 7.49324e8i | −0.0278516 | − | 0.0278516i | ||||
\(406\) | −2.73120e10 | + | 3.14623e10i | −1.00519 | + | 1.15794i | ||||
\(407\) | 2.66783e10 | 0.972255 | ||||||||
\(408\) | −2.38685e10 | − | 1.54308e10i | −0.861359 | − | 0.556862i | ||||
\(409\) | − | 4.77242e10i | − | 1.70548i | −0.522338 | − | 0.852738i | \(-0.674940\pi\) | ||
0.522338 | − | 0.852738i | \(-0.325060\pi\) | |||||||
\(410\) | 1.24479e10 | − | 1.43395e10i | 0.440516 | − | 0.507457i | ||||
\(411\) | −7.71415e9 | + | 7.71415e9i | −0.270347 | + | 0.270347i | ||||
\(412\) | 1.07550e10 | − | 1.52653e9i | 0.373269 | − | 0.0529807i | ||||
\(413\) | 3.56770e9 | − | 3.56770e9i | 0.122628 | − | 0.122628i | ||||
\(414\) | 4.89389e8 | + | 6.93042e9i | 0.0166592 | + | 0.235916i | ||||
\(415\) | 8.53324e9i | 0.287688i | ||||||||
\(416\) | −9.41988e9 | + | 2.03828e10i | −0.314537 | + | 0.680599i | ||||
\(417\) | −3.03870e10 | −1.00495 | ||||||||
\(418\) | −5.84595e10 | + | 4.12810e9i | −1.91492 | + | 0.135221i | ||||
\(419\) | −2.98751e10 | − | 2.98751e10i | −0.969290 | − | 0.969290i | 0.0302522 | − | 0.999542i | \(-0.490369\pi\) |
−0.999542 | + | 0.0302522i | \(0.990369\pi\) | |||||||
\(420\) | 8.25405e8 | + | 5.81528e9i | 0.0265259 | + | 0.186885i | ||||
\(421\) | 1.72971e10 | + | 1.72971e10i | 0.550612 | + | 0.550612i | 0.926618 | − | 0.376005i | \(-0.122703\pi\) |
−0.376005 | + | 0.926618i | \(0.622703\pi\) | |||||||
\(422\) | 3.34310e10 | + | 2.90210e10i | 1.05414 | + | 0.915087i | ||||
\(423\) | −4.47201e9 | −0.139682 | ||||||||
\(424\) | 4.35762e10 | + | 2.81717e10i | 1.34830 | + | 0.871665i | ||||
\(425\) | 5.06768e10i | 1.55329i | ||||||||
\(426\) | −1.51710e10 | − | 1.31698e10i | −0.460656 | − | 0.399889i | ||||
\(427\) | 1.25097e10 | − | 1.25097e10i | 0.376302 | − | 0.376302i | ||||
\(428\) | −5.62884e9 | + | 7.49104e9i | −0.167743 | + | 0.223237i | ||||
\(429\) | −1.76583e10 | + | 1.76583e10i | −0.521339 | + | 0.521339i | ||||
\(430\) | 3.76128e9 | − | 2.65602e8i | 0.110018 | − | 0.00776885i | ||||
\(431\) | 1.31620e10i | 0.381428i | 0.981646 | + | 0.190714i | \(0.0610803\pi\) | ||||
−0.981646 | + | 0.190714i | \(0.938920\pi\) | |||||||
\(432\) | 3.23350e9 | − | 5.87123e9i | 0.0928404 | − | 0.168575i | ||||
\(433\) | −3.63988e10 | −1.03547 | −0.517733 | − | 0.855542i | \(-0.673224\pi\) | ||||
−0.517733 | + | 0.855542i | \(0.673224\pi\) | |||||||
\(434\) | 2.69991e9 | + | 3.82344e10i | 0.0761010 | + | 1.07769i | ||||
\(435\) | 8.61546e9 | + | 8.61546e9i | 0.240614 | + | 0.240614i | ||||
\(436\) | −2.94624e10 | + | 3.92095e10i | −0.815309 | + | 1.08504i | ||||
\(437\) | −2.06220e10 | − | 2.06220e10i | −0.565463 | − | 0.565463i | ||||
\(438\) | −2.93180e9 | + | 3.37731e9i | −0.0796594 | + | 0.0917645i | ||||
\(439\) | −6.89499e10 | −1.85642 | −0.928208 | − | 0.372061i | \(-0.878651\pi\) | ||||
−0.928208 | + | 0.372061i | \(0.878651\pi\) | |||||||
\(440\) | −2.21260e10 | + | 4.75053e9i | −0.590325 | + | 0.126745i | ||||
\(441\) | − | 1.88380e9i | − | 0.0498057i | ||||||
\(442\) | 3.33266e10 | − | 3.83909e10i | 0.873176 | − | 1.00586i | ||||
\(443\) | 1.08623e10 | − | 1.08623e10i | 0.282037 | − | 0.282037i | −0.551884 | − | 0.833921i | \(-0.686091\pi\) |
0.833921 | + | 0.551884i | \(0.186091\pi\) | |||||||
\(444\) | −1.79989e9 | − | 1.26809e10i | −0.0463142 | − | 0.326301i | ||||
\(445\) | 6.86521e9 | − | 6.86521e9i | 0.175071 | − | 0.175071i | ||||
\(446\) | −1.02373e9 | − | 1.44974e10i | −0.0258729 | − | 0.366395i | ||||
\(447\) | − | 5.51395e8i | − | 0.0138112i | ||||||
\(448\) | −3.38768e10 | + | 1.52499e10i | −0.840988 | + | 0.378578i | ||||
\(449\) | −1.89946e9 | −0.0467354 | −0.0233677 | − | 0.999727i | \(-0.507439\pi\) | ||||
−0.0233677 | + | 0.999727i | \(0.507439\pi\) | |||||||
\(450\) | −1.19214e10 | + | 8.41825e8i | −0.290721 | + | 0.0205292i | ||||
\(451\) | 9.44529e10 | + | 9.44529e10i | 2.28302 | + | 2.28302i | ||||
\(452\) | −4.83525e10 | + | 6.86301e9i | −1.15842 | + | 0.164422i | ||||
\(453\) | −1.59646e10 | − | 1.59646e10i | −0.379109 | − | 0.379109i | ||||
\(454\) | 4.03704e10 | + | 3.50450e10i | 0.950255 | + | 0.824903i | ||||
\(455\) | −1.05060e10 | −0.245127 | ||||||||
\(456\) | 5.90625e9 | + | 2.75088e10i | 0.136601 | + | 0.636228i | ||||
\(457\) | 2.18741e10i | 0.501494i | 0.968053 | + | 0.250747i | \(0.0806762\pi\) | ||||
−0.968053 | + | 0.250747i | \(0.919324\pi\) | |||||||
\(458\) | −4.37363e10 | − | 3.79669e10i | −0.993986 | − | 0.862865i | ||||
\(459\) | −1.07307e10 | + | 1.07307e10i | −0.241757 | + | 0.241757i | ||||
\(460\) | −9.00314e9 | − | 6.76505e9i | −0.201077 | − | 0.151091i | ||||
\(461\) | 1.40132e9 | − | 1.40132e9i | 0.0310265 | − | 0.0310265i | −0.691423 | − | 0.722450i | \(-0.743016\pi\) |
0.722450 | + | 0.691423i | \(0.243016\pi\) | |||||||
\(462\) | −4.12151e10 | + | 2.91039e9i | −0.904665 | + | 0.0638827i | ||||
\(463\) | − | 2.78405e10i | − | 0.605833i | −0.953017 | − | 0.302916i | \(-0.902040\pi\) | ||
0.953017 | − | 0.302916i | \(-0.0979603\pi\) | |||||||
\(464\) | −3.71775e10 | + | 6.75053e10i | −0.802063 | + | 1.45635i | ||||
\(465\) | 1.12092e10 | 0.239753 | ||||||||
\(466\) | 1.99712e9 | + | 2.82819e10i | 0.0423507 | + | 0.599743i | ||||
\(467\) | 2.39248e10 | + | 2.39248e10i | 0.503015 | + | 0.503015i | 0.912374 | − | 0.409359i | \(-0.134247\pi\) |
−0.409359 | + | 0.912374i | \(0.634247\pi\) | |||||||
\(468\) | 9.58481e9 | + | 7.20212e9i | 0.199802 | + | 0.150133i | ||||
\(469\) | −1.11725e10 | − | 1.11725e10i | −0.230920 | − | 0.230920i | ||||
\(470\) | 4.75184e9 | − | 5.47393e9i | 0.0973801 | − | 0.112178i | ||||
\(471\) | 2.20725e10 | 0.448507 | ||||||||
\(472\) | 5.06693e9 | − | 7.83758e9i | 0.102089 | − | 0.157912i | ||||
\(473\) | 2.65247e10i | 0.529914i | ||||||||
\(474\) | −2.56944e9 | + | 2.95989e9i | −0.0509008 | + | 0.0586357i | ||||
\(475\) | 3.54729e10 | − | 3.54729e10i | 0.696823 | − | 0.696823i | ||||
\(476\) | 8.32780e10 | − | 1.18202e10i | 1.62219 | − | 0.230249i | ||||
\(477\) | 1.95909e10 | − | 1.95909e10i | 0.378426 | − | 0.378426i | ||||
\(478\) | 5.17881e8 | + | 7.33390e9i | 0.00992016 | + | 0.140483i | ||||
\(479\) | − | 7.33479e10i | − | 1.39330i | −0.717410 | − | 0.696651i | \(-0.754672\pi\) | ||
0.717410 | − | 0.696651i | \(-0.245328\pi\) | |||||||
\(480\) | 3.75081e9 | + | 1.01966e10i | 0.0706579 | + | 0.192083i | ||||
\(481\) | 2.29095e10 | 0.427992 | ||||||||
\(482\) | −2.57443e10 | + | 1.81793e9i | −0.476973 | + | 0.0336813i | ||||
\(483\) | −1.45389e10 | − | 1.45389e10i | −0.267142 | − | 0.267142i | ||||
\(484\) | −1.46595e10 | − | 1.03281e11i | −0.267138 | − | 1.88209i | ||||
\(485\) | 2.84654e9 | + | 2.84654e9i | 0.0514459 | + | 0.0514459i | ||||
\(486\) | −2.70259e9 | − | 2.34608e9i | −0.0484434 | − | 0.0420531i | ||||
\(487\) | −8.20748e10 | −1.45913 | −0.729565 | − | 0.683911i | \(-0.760278\pi\) | ||||
−0.729565 | + | 0.683911i | \(0.760278\pi\) | |||||||
\(488\) | 1.77666e10 | − | 2.74816e10i | 0.313275 | − | 0.484576i | ||||
\(489\) | 1.37600e10i | 0.240649i | ||||||||
\(490\) | 2.30585e9 | + | 2.00167e9i | 0.0399987 | + | 0.0347223i | ||||
\(491\) | 1.36609e10 | − | 1.36609e10i | 0.235046 | − | 0.235046i | −0.579749 | − | 0.814795i | \(-0.696849\pi\) |
0.814795 | + | 0.579749i | \(0.196849\pi\) | |||||||
\(492\) | 3.85236e10 | − | 5.12684e10i | 0.657455 | − | 0.874962i | ||||
\(493\) | 1.23378e11 | − | 1.23378e11i | 2.08858 | − | 2.08858i | ||||
\(494\) | −5.02011e10 | + | 3.54493e9i | −0.842956 | + | 0.0595251i | ||||
\(495\) | 1.20831e10i | 0.201259i | ||||||||
\(496\) | 1.97291e10 | + | 6.80993e10i | 0.325972 | + | 1.12516i | ||||
\(497\) | 5.94543e10 | 0.974445 | ||||||||
\(498\) | 2.02995e9 | + | 2.87469e10i | 0.0330042 | + | 0.467384i | ||||
\(499\) | −4.19086e10 | − | 4.19086e10i | −0.675929 | − | 0.675929i | 0.283148 | − | 0.959076i | \(-0.408621\pi\) |
−0.959076 | + | 0.283148i | \(0.908621\pi\) | |||||||
\(500\) | 2.49464e10 | − | 3.31994e10i | 0.399142 | − | 0.531191i | ||||
\(501\) | −3.88408e10 | − | 3.88408e10i | −0.616506 | − | 0.616506i | ||||
\(502\) | 3.02444e10 | − | 3.48403e10i | 0.476244 | − | 0.548615i | ||||
\(503\) | −1.00586e10 | −0.157132 | −0.0785660 | − | 0.996909i | \(-0.525034\pi\) | ||||
−0.0785660 | + | 0.996909i | \(0.525034\pi\) | |||||||
\(504\) | 4.16402e9 | + | 1.93943e10i | 0.0645343 | + | 0.300574i | ||||
\(505\) | − | 1.88910e10i | − | 0.290462i | ||||||
\(506\) | 5.19317e10 | − | 5.98233e10i | 0.792192 | − | 0.912574i | ||||
\(507\) | 1.18109e10 | − | 1.18109e10i | 0.178752 | − | 0.178752i | ||||
\(508\) | 1.24046e10 | + | 8.73948e10i | 0.186263 | + | 1.31229i | ||||
\(509\) | 3.98221e10 | − | 3.98221e10i | 0.593271 | − | 0.593271i | −0.345243 | − | 0.938513i | \(-0.612203\pi\) |
0.938513 | + | 0.345243i | \(0.112203\pi\) | |||||||
\(510\) | −1.73268e9 | − | 2.45371e10i | −0.0256116 | − | 0.362695i | ||||
\(511\) | − | 1.32355e10i | − | 0.194113i | ||||||
\(512\) | −5.53453e10 | + | 4.07340e10i | −0.805381 | + | 0.592758i | ||||
\(513\) | 1.50227e10 | 0.216909 | ||||||||
\(514\) | −5.46566e10 | + | 3.85956e9i | −0.783051 | + | 0.0552949i | ||||
\(515\) | 6.64774e9 | + | 6.64774e9i | 0.0945029 | + | 0.0945029i | ||||
\(516\) | 1.26079e10 | − | 1.78952e9i | 0.177846 | − | 0.0252429i | ||||
\(517\) | 3.60562e10 | + | 3.60562e10i | 0.504682 | + | 0.504682i | ||||
\(518\) | 2.86237e10 | + | 2.48478e10i | 0.397563 | + | 0.345119i | ||||
\(519\) | 2.41348e10 | 0.332640 | ||||||||
\(520\) | −1.90003e10 | + | 4.07943e9i | −0.259864 | + | 0.0557938i | ||||
\(521\) | − | 1.88714e9i | − | 0.0256126i | −0.999918 | − | 0.0128063i | \(-0.995924\pi\) | ||
0.999918 | − | 0.0128063i | \(-0.00407649\pi\) | |||||||
\(522\) | 3.10734e10 | + | 2.69744e10i | 0.418511 | + | 0.363303i | ||||
\(523\) | 5.23015e9 | − | 5.23015e9i | 0.0699049 | − | 0.0699049i | −0.671290 | − | 0.741195i | \(-0.734259\pi\) |
0.741195 | + | 0.671290i | \(0.234259\pi\) | |||||||
\(524\) | 3.44570e10 | + | 2.58913e10i | 0.457038 | + | 0.343423i | ||||
\(525\) | 2.50091e10 | − | 2.50091e10i | 0.329201 | − | 0.329201i | ||||
\(526\) | −8.90965e10 | + | 6.29152e9i | −1.16391 | + | 0.0821888i | ||||
\(527\) | − | 1.60522e11i | − | 2.08110i | ||||||
\(528\) | −7.34082e10 | + | 2.12671e10i | −0.944515 | + | 0.273636i | ||||
\(529\) | −3.88887e10 | −0.496593 | ||||||||
\(530\) | 3.16332e9 | + | 4.47969e10i | 0.0400903 | + | 0.567733i | ||||
\(531\) | −3.52360e9 | − | 3.52360e9i | −0.0443209 | − | 0.0443209i | ||||
\(532\) | −6.65672e10 | − | 5.00193e10i | −0.831025 | − | 0.624440i | ||||
\(533\) | 8.11098e10 | + | 8.11098e10i | 1.00500 | + | 1.00500i | ||||
\(534\) | 2.14945e10 | − | 2.47608e10i | 0.264339 | − | 0.304508i | ||||
\(535\) | −8.10948e9 | −0.0989870 | ||||||||
\(536\) | −2.45440e10 | − | 1.58675e10i | −0.297363 | − | 0.192243i | ||||
\(537\) | 4.43453e10i | 0.533274i | ||||||||
\(538\) | −2.12005e9 | + | 2.44221e9i | −0.0253056 | + | 0.0291511i | ||||
\(539\) | −1.51884e10 | + | 1.51884e10i | −0.179952 | + | 0.179952i | ||||
\(540\) | 5.74340e9 | − | 8.15202e8i | 0.0675451 | − | 0.00958716i | ||||
\(541\) | −9.94355e10 | + | 9.94355e10i | −1.16079 | + | 1.16079i | −0.176483 | + | 0.984304i | \(0.556472\pi\) |
−0.984304 | + | 0.176483i | \(0.943528\pi\) | |||||||
\(542\) | 9.20000e9 | + | 1.30285e11i | 0.106608 | + | 1.50972i | ||||
\(543\) | 2.59297e10i | 0.298262i | ||||||||
\(544\) | 1.46020e11 | − | 5.37137e10i | 1.66731 | − | 0.613323i | ||||
\(545\) | −4.24466e10 | −0.481123 | ||||||||
\(546\) | −3.53927e10 | + | 2.49924e9i | −0.398238 | + | 0.0281215i | ||||
\(547\) | 2.61262e10 | + | 2.61262e10i | 0.291828 | + | 0.291828i | 0.837802 | − | 0.545974i | \(-0.183840\pi\) |
−0.545974 | + | 0.837802i | \(0.683840\pi\) | |||||||
\(548\) | −8.39235e9 | − | 5.91272e10i | −0.0930596 | − | 0.655640i | ||||
\(549\) | −1.23551e10 | − | 1.23551e10i | −0.136006 | − | 0.136006i | ||||
\(550\) | 1.02905e11 | + | 8.93305e10i | 1.12457 | + | 0.976223i | ||||
\(551\) | −1.72725e11 | −1.87391 | ||||||||
\(552\) | −3.19392e10 | − | 2.06485e10i | −0.344008 | − | 0.222398i | ||||
\(553\) | − | 1.15996e10i | − | 0.124035i | ||||||
\(554\) | −8.76304e9 | − | 7.60707e9i | −0.0930284 | − | 0.0807566i | ||||
\(555\) | 7.83815e9 | − | 7.83815e9i | 0.0826117 | − | 0.0826117i | ||||
\(556\) | 9.99253e10 | − | 1.32984e11i | 1.04563 | − | 1.39155i | ||||
\(557\) | 1.63873e10 | − | 1.63873e10i | 0.170250 | − | 0.170250i | −0.616839 | − | 0.787089i | \(-0.711587\pi\) |
0.787089 | + | 0.616839i | \(0.211587\pi\) | |||||||
\(558\) | 3.77618e10 | − | 2.66654e9i | 0.389507 | − | 0.0275049i | ||||
\(559\) | 2.27776e10i | 0.233271i | ||||||||
\(560\) | −2.81640e10 | − | 1.55109e10i | −0.286379 | − | 0.157719i | ||||
\(561\) | 1.73036e11 | 1.74697 | ||||||||
\(562\) | −5.55279e9 | − | 7.86350e10i | −0.0556629 | − | 0.788262i | ||||
\(563\) | −1.97783e10 | − | 1.97783e10i | −0.196859 | − | 0.196859i | 0.601793 | − | 0.798652i | \(-0.294453\pi\) |
−0.798652 | + | 0.601793i | \(0.794453\pi\) | |||||||
\(564\) | 1.47059e10 | − | 1.95710e10i | 0.145336 | − | 0.193418i | ||||
\(565\) | −2.98870e10 | − | 2.98870e10i | −0.293284 | − | 0.293284i | ||||
\(566\) | −1.20934e10 | + | 1.39311e10i | −0.117837 | + | 0.135744i | ||||
\(567\) | 1.05913e10 | 0.102474 | ||||||||
\(568\) | 1.07524e11 | − | 2.30859e10i | 1.03303 | − | 0.221795i | ||||
\(569\) | 1.97830e11i | 1.88731i | 0.330936 | + | 0.943653i | \(0.392636\pi\) | ||||
−0.330936 | + | 0.943653i | \(0.607364\pi\) | |||||||
\(570\) | −1.59627e10 | + | 1.83884e10i | −0.151219 | + | 0.174198i | ||||
\(571\) | 2.81032e10 | − | 2.81032e10i | 0.264370 | − | 0.264370i | −0.562457 | − | 0.826827i | \(-0.690144\pi\) |
0.826827 | + | 0.562457i | \(0.190144\pi\) | |||||||
\(572\) | −1.92108e10 | − | 1.35347e11i | −0.179457 | − | 1.26434i | ||||
\(573\) | 5.45337e10 | − | 5.45337e10i | 0.505879 | − | 0.505879i | ||||
\(574\) | 1.33683e10 | + | 1.89313e11i | 0.123148 | + | 1.74394i | ||||
\(575\) | 6.78123e10i | 0.620351i | ||||||||
\(576\) | 1.50614e10 | + | 3.34580e10i | 0.136828 | + | 0.303956i | ||||
\(577\) | −6.70487e10 | −0.604905 | −0.302453 | − | 0.953164i | \(-0.597805\pi\) | ||||
−0.302453 | + | 0.953164i | \(0.597805\pi\) | |||||||
\(578\) | −2.40049e11 | + | 1.69510e10i | −2.15075 | + | 0.151874i | ||||
\(579\) | 8.12243e10 | + | 8.12243e10i | 0.722723 | + | 0.722723i | ||||
\(580\) | −6.60355e10 | + | 9.37289e9i | −0.583533 | + | 0.0828250i | ||||
\(581\) | −6.03062e10 | − | 6.03062e10i | −0.529246 | − | 0.529246i | ||||
\(582\) | 1.02666e10 | + | 8.91232e9i | 0.0894821 | + | 0.0776781i | ||||
\(583\) | −3.15909e11 | −2.73456 | ||||||||
\(584\) | −5.13928e9 | − | 2.39366e10i | −0.0441825 | − | 0.205784i | ||||
\(585\) | 1.03761e10i | 0.0885955i | ||||||||
\(586\) | −8.86796e10 | − | 7.69815e10i | −0.752027 | − | 0.652824i | ||||
\(587\) | −1.20818e11 | + | 1.20818e11i | −1.01760 | + | 1.01760i | −0.0177616 | + | 0.999842i | \(0.505654\pi\) |
−0.999842 | + | 0.0177616i | \(0.994346\pi\) | |||||||
\(588\) | 8.24414e9 | + | 6.19473e9i | 0.0689662 | + | 0.0518219i | ||||
\(589\) | −1.12363e11 | + | 1.12363e11i | −0.933602 | + | 0.933602i | ||||
\(590\) | 8.05712e9 | − | 5.68951e8i | 0.0664924 | − | 0.00469534i | ||||
\(591\) | − | 1.10706e11i | − | 0.907443i | ||||||
\(592\) | 6.14148e10 | + | 3.38233e10i | 0.500019 | + | 0.275378i | ||||
\(593\) | −8.11199e10 | −0.656007 | −0.328003 | − | 0.944677i | \(-0.606376\pi\) | ||||
−0.328003 | + | 0.944677i | \(0.606376\pi\) | |||||||
\(594\) | 2.87441e9 | + | 4.07056e10i | 0.0230889 | + | 0.326970i | ||||
\(595\) | 5.14747e10 | + | 5.14747e10i | 0.410701 | + | 0.410701i | ||||
\(596\) | 2.41309e9 | + | 1.81322e9i | 0.0191245 | + | 0.0143703i | ||||
\(597\) | 7.40921e10 | + | 7.40921e10i | 0.583276 | + | 0.583276i | ||||
\(598\) | 4.45954e10 | − | 5.13722e10i | 0.348727 | − | 0.401720i | ||||
\(599\) | 2.16087e11 | 1.67850 | 0.839249 | − | 0.543747i | \(-0.182995\pi\) | ||||
0.839249 | + | 0.543747i | \(0.182995\pi\) | |||||||
\(600\) | 3.55185e10 | − | 5.49404e10i | 0.274062 | − | 0.423923i | ||||
\(601\) | 4.77105e10i | 0.365693i | 0.983142 | + | 0.182846i | \(0.0585311\pi\) | ||||
−0.983142 | + | 0.182846i | \(0.941469\pi\) | |||||||
\(602\) | −2.47047e10 | + | 2.84588e10i | −0.188102 | + | 0.216686i | ||||
\(603\) | −1.10344e10 | + | 1.10344e10i | −0.0834605 | + | 0.0834605i | ||||
\(604\) | 1.22365e11 | − | 1.73681e10i | 0.919409 | − | 0.130498i | ||||
\(605\) | 6.38389e10 | − | 6.38389e10i | 0.476501 | − | 0.476501i | ||||
\(606\) | −4.49394e9 | − | 6.36402e10i | −0.0333224 | − | 0.471891i | ||||
\(607\) | 4.25857e10i | 0.313696i | 0.987623 | + | 0.156848i | \(0.0501333\pi\) | ||||
−0.987623 | + | 0.156848i | \(0.949867\pi\) | |||||||
\(608\) | −1.39810e11 | − | 6.46131e10i | −1.02312 | − | 0.472831i | ||||
\(609\) | −1.21775e11 | −0.885294 | ||||||||
\(610\) | 2.82514e10 | − | 1.99496e9i | 0.204042 | − | 0.0144084i | ||||
\(611\) | 3.09626e10 | + | 3.09626e10i | 0.222164 | + | 0.222164i | ||||
\(612\) | −1.16741e10 | − | 8.22486e10i | −0.0832183 | − | 0.586304i | ||||
\(613\) | 1.74903e11 | + | 1.74903e11i | 1.23867 | + | 1.23867i | 0.960546 | + | 0.278120i | \(0.0897111\pi\) |
0.278120 | + | 0.960546i | \(0.410289\pi\) | |||||||
\(614\) | −6.64284e10 | − | 5.76655e10i | −0.467391 | − | 0.405735i | ||||
\(615\) | 5.55010e10 | 0.387972 | ||||||||
\(616\) | 1.22796e11 | − | 1.89942e11i | 0.852827 | − | 1.31916i | ||||
\(617\) | 1.02866e10i | 0.0709793i | 0.999370 | + | 0.0354896i | \(0.0112991\pi\) | ||||
−0.999370 | + | 0.0354896i | \(0.988701\pi\) | |||||||
\(618\) | 2.39764e10 | + | 2.08136e10i | 0.164373 | + | 0.142690i | ||||
\(619\) | −9.99336e9 | + | 9.99336e9i | −0.0680689 | + | 0.0680689i | −0.740322 | − | 0.672253i | \(-0.765327\pi\) |
0.672253 | + | 0.740322i | \(0.265327\pi\) | |||||||
\(620\) | −3.68607e10 | + | 4.90554e10i | −0.249458 | + | 0.331986i | ||||
\(621\) | −1.43592e10 | + | 1.43592e10i | −0.0965523 | + | 0.0965523i | ||||
\(622\) | 1.49510e11 | − | 1.05576e10i | 0.998869 | − | 0.0705348i | ||||
\(623\) | 9.70358e10i | 0.644139i | ||||||||
\(624\) | −6.30380e10 | + | 1.82628e10i | −0.415780 | + | 0.120456i | ||||
\(625\) | −9.74726e10 | −0.638797 | ||||||||
\(626\) | 1.72252e10 | + | 2.43932e11i | 0.112168 | + | 1.58845i | ||||
\(627\) | −1.21122e11 | − | 1.21122e11i | −0.783708 | − | 0.783708i | ||||
\(628\) | −7.25840e10 | + | 9.65971e10i | −0.466662 | + | 0.621048i | ||||
\(629\) | −1.12247e11 | − | 1.12247e11i | −0.717084 | − | 0.717084i | ||||
\(630\) | −1.12540e10 | + | 1.29642e10i | −0.0714406 | + | 0.0822967i | ||||
\(631\) | −5.29976e10 | −0.334302 | −0.167151 | − | 0.985931i | \(-0.553457\pi\) | ||||
−0.167151 | + | 0.985931i | \(0.553457\pi\) | |||||||
\(632\) | −4.50408e9 | − | 2.09781e10i | −0.0282318 | − | 0.131492i | ||||
\(633\) | 1.29395e11i | 0.805937i | ||||||||
\(634\) | 1.68087e11 | − | 1.93629e11i | 1.04034 | − | 1.19843i | ||||
\(635\) | −5.40193e10 | + | 5.40193e10i | −0.332242 | + | 0.332242i | ||||
\(636\) | 2.13133e10 | + | 1.50160e11i | 0.130263 | + | 0.917752i | ||||
\(637\) | −1.30427e10 | + | 1.30427e10i | −0.0792157 | + | 0.0792157i | ||||
\(638\) | −3.30490e10 | − | 4.68018e11i | −0.199469 | − | 2.82475i | ||||
\(639\) | − | 5.87194e10i | − | 0.352191i | ||||||
\(640\) | −5.69579e10 | − | 1.71158e10i | −0.339496 | − | 0.102018i | ||||
\(641\) | 2.71775e11 | 1.60982 | 0.804909 | − | 0.593398i | \(-0.202214\pi\) | ||||
0.804909 | + | 0.593398i | \(0.202214\pi\) | |||||||
\(642\) | −2.73193e10 | + | 1.92915e9i | −0.160816 | + | 0.0113560i | ||||
\(643\) | −2.29408e11 | − | 2.29408e11i | −1.34204 | − | 1.34204i | −0.894032 | − | 0.448004i | \(-0.852135\pi\) |
−0.448004 | − | 0.894032i | \(-0.647865\pi\) | |||||||
\(644\) | 1.11437e11 | − | 1.58171e10i | 0.647868 | − | 0.0919566i | ||||
\(645\) | 7.79301e9 | + | 7.79301e9i | 0.0450263 | + | 0.0450263i | ||||
\(646\) | 2.63332e11 | + | 2.28595e11i | 1.51207 | + | 1.31261i | ||||
\(647\) | −9.52693e9 | −0.0543670 | −0.0271835 | − | 0.999630i | \(-0.508654\pi\) | ||||
−0.0271835 | + | 0.999630i | \(0.508654\pi\) | |||||||
\(648\) | 1.91545e10 | − | 4.11255e9i | 0.108635 | − | 0.0233244i | ||||
\(649\) | 5.68191e10i | 0.320269i | ||||||||
\(650\) | 8.83680e10 | + | 7.67110e10i | 0.495041 | + | 0.429738i | ||||
\(651\) | −7.92180e10 | + | 7.92180e10i | −0.441062 | + | 0.441062i | ||||
\(652\) | −6.02187e10 | − | 4.52489e10i | −0.333228 | − | 0.250391i | ||||
\(653\) | 3.73694e9 | − | 3.73694e9i | 0.0205525 | − | 0.0205525i | −0.696756 | − | 0.717308i | \(-0.745374\pi\) |
0.717308 | + | 0.696756i | \(0.245374\pi\) | |||||||
\(654\) | −1.42995e11 | + | 1.00975e10i | −0.781643 | + | 0.0551955i | ||||
\(655\) | 3.73017e10i | 0.202658i | ||||||||
\(656\) | 9.76861e10 | + | 3.37185e11i | 0.527494 | + | 1.82076i | ||||
\(657\) | −1.30719e10 | −0.0701578 | ||||||||
\(658\) | 5.10316e9 | + | 7.22677e10i | 0.0272230 | + | 0.385514i | ||||
\(659\) | −8.41113e10 | − | 8.41113e10i | −0.445977 | − | 0.445977i | 0.448038 | − | 0.894015i | \(-0.352123\pi\) |
−0.894015 | + | 0.448038i | \(0.852123\pi\) | |||||||
\(660\) | −5.28797e10 | − | 3.97343e10i | −0.278685 | − | 0.209406i | ||||
\(661\) | 7.13768e10 | + | 7.13768e10i | 0.373897 | + | 0.373897i | 0.868894 | − | 0.494998i | \(-0.164831\pi\) |
−0.494998 | + | 0.868894i | \(0.664831\pi\) | |||||||
\(662\) | −6.13519e10 | + | 7.06750e10i | −0.319445 | + | 0.367988i | ||||
\(663\) | 1.48592e11 | 0.769025 | ||||||||
\(664\) | −1.32482e11 | − | 8.56483e10i | −0.681528 | − | 0.440602i | ||||
\(665\) | − | 7.20629e10i | − | 0.368490i | ||||||
\(666\) | 2.45407e10 | − | 2.82699e10i | 0.124735 | − | 0.143690i | ||||
\(667\) | 1.65096e11 | − | 1.65096e11i | 0.834131 | − | 0.834131i | ||||
\(668\) | 2.97706e11 | − | 4.22556e10i | 1.49514 | − | 0.212216i | ||||
\(669\) | 3.00372e10 | − | 3.00372e10i | 0.149953 | − | 0.149953i | ||||
\(670\) | −1.78172e9 | − | 2.52315e10i | −0.00884178 | − | 0.125212i | ||||
\(671\) | 1.99229e11i | 0.982796i | ||||||||
\(672\) | −9.85690e10 | − | 4.55534e10i | −0.483352 | − | 0.223380i | ||||
\(673\) | 7.06195e10 | 0.344242 | 0.172121 | − | 0.985076i | \(-0.444938\pi\) | ||||
0.172121 | + | 0.985076i | \(0.444938\pi\) | |||||||
\(674\) | 7.71702e10 | − | 5.44935e9i | 0.373947 | − | 0.0264062i | ||||
\(675\) | −2.46999e10 | − | 2.46999e10i | −0.118982 | − | 0.118982i | ||||
\(676\) | 1.28493e10 | + | 9.05279e10i | 0.0615307 | + | 0.433507i | ||||
\(677\) | −1.97541e11 | − | 1.97541e11i | −0.940379 | − | 0.940379i | 0.0579414 | − | 0.998320i | \(-0.481546\pi\) |
−0.998320 | + | 0.0579414i | \(0.981546\pi\) | |||||||
\(678\) | −1.07793e11 | − | 9.35739e10i | −0.510121 | − | 0.442829i | ||||
\(679\) | −4.02342e10 | −0.189285 | ||||||||
\(680\) | 1.13080e11 | + | 7.31056e10i | 0.528874 | + | 0.341913i | ||||
\(681\) | 1.56253e11i | 0.726510i | ||||||||
\(682\) | −3.25959e11 | − | 2.82960e11i | −1.50670 | − | 1.30794i | ||||
\(683\) | 1.58883e11 | − | 1.58883e11i | 0.730120 | − | 0.730120i | −0.240523 | − | 0.970643i | \(-0.577319\pi\) |
0.970643 | + | 0.240523i | \(0.0773190\pi\) | |||||||
\(684\) | −4.94010e10 | + | 6.57444e10i | −0.225689 | + | 0.300355i | ||||
\(685\) | 3.65469e10 | − | 3.65469e10i | 0.165993 | − | 0.165993i | ||||
\(686\) | −2.34181e11 | + | 1.65366e10i | −1.05744 | + | 0.0746708i | ||||
\(687\) | − | 1.69281e11i | − | 0.759944i | ||||||
\(688\) | −3.36285e10 | + | 6.10611e10i | −0.150091 | + | 0.272528i | ||||
\(689\) | −2.71281e11 | −1.20377 | ||||||||
\(690\) | −2.31856e9 | − | 3.28339e10i | −0.0102287 | − | 0.144853i | ||||
\(691\) | 2.89532e11 | + | 2.89532e11i | 1.26994 | + | 1.26994i | 0.946116 | + | 0.323829i | \(0.104970\pi\) |
0.323829 | + | 0.946116i | \(0.395030\pi\) | |||||||
\(692\) | −7.93655e10 | + | 1.05622e11i | −0.346105 | + | 0.460607i | ||||
\(693\) | −8.53936e10 | − | 8.53936e10i | −0.370248 | − | 0.370248i | ||||
\(694\) | −1.08797e11 | + | 1.25330e11i | −0.469007 | + | 0.540278i | ||||
\(695\) | 1.43963e11 | 0.617036 | ||||||||
\(696\) | −2.20232e11 | + | 4.72846e10i | −0.938519 | + | 0.201503i | ||||
\(697\) | − | 7.94805e11i | − | 3.36767i | ||||||
\(698\) | −6.31691e10 | + | 7.27683e10i | −0.266123 | + | 0.306563i | ||||
\(699\) | −5.85974e10 | + | 5.85974e10i | −0.245454 | + | 0.245454i | ||||
\(700\) | 2.72078e10 | + | 1.91689e11i | 0.113319 | + | 0.798371i | ||||
\(701\) | 2.09157e11 | − | 2.09157e11i | 0.866163 | − | 0.866163i | −0.125882 | − | 0.992045i | \(-0.540176\pi\) |
0.992045 | + | 0.125882i | \(0.0401761\pi\) | |||||||
\(702\) | 2.46835e9 | + | 3.49552e10i | 0.0101639 | + | 0.143934i | ||||
\(703\) | 1.57141e11i | 0.643383i | ||||||||
\(704\) | 1.48325e11 | − | 3.91195e11i | 0.603843 | − | 1.59259i | ||||
\(705\) | 2.11868e10 | 0.0857647 | ||||||||
\(706\) | 3.27312e11 | − | 2.31131e10i | 1.31748 | − | 0.0930334i | ||||
\(707\) | 1.33507e11 | + | 1.33507e11i | 0.534349 | + | 0.534349i | ||||
\(708\) | 2.70076e10 | − | 3.83338e9i | 0.107486 | − | 0.0152563i | ||||
\(709\) | 1.17973e11 | + | 1.17973e11i | 0.466873 | + | 0.466873i | 0.900900 | − | 0.434027i | \(-0.142908\pi\) |
−0.434027 | + | 0.900900i | \(0.642908\pi\) | |||||||
\(710\) | 7.18750e10 | + | 6.23937e10i | 0.282842 | + | 0.245531i | ||||
\(711\) | −1.14562e10 | −0.0448294 | ||||||||
\(712\) | 3.76786e10 | + | 1.75491e11i | 0.146614 | + | 0.682866i | ||||
\(713\) | − | 2.14800e11i | − | 0.831144i | ||||||
\(714\) | 1.85654e11 | + | 1.61163e11i | 0.714350 | + | 0.620117i | ||||
\(715\) | 8.36589e10 | − | 8.36589e10i | 0.320102 | − | 0.320102i | ||||
\(716\) | −1.94070e11 | − | 1.45826e11i | −0.738426 | − | 0.554861i | ||||
\(717\) | −1.51951e10 | + | 1.51951e10i | −0.0574947 | + | 0.0574947i | ||||
\(718\) | 6.38489e10 | − | 4.50867e9i | 0.240246 | − | 0.0169649i | ||||
\(719\) | 1.47736e11i | 0.552803i | 0.961042 | + | 0.276401i | \(0.0891419\pi\) | ||||
−0.961042 | + | 0.276401i | \(0.910858\pi\) | |||||||
\(720\) | −1.53192e10 | + | 2.78158e10i | −0.0570040 | + | 0.103505i | ||||
\(721\) | −9.39620e10 | −0.347705 | ||||||||
\(722\) | −5.17453e9 | − | 7.32783e10i | −0.0190424 | − | 0.269666i | ||||
\(723\) | −5.33398e10 | − | 5.33398e10i | −0.195208 | − | 0.195208i | ||||
\(724\) | −1.13477e11 | − | 8.52678e10i | −0.413004 | − | 0.310335i | ||||
\(725\) | 2.83991e11 | + | 2.83991e11i | 1.02790 | + | 1.02790i | ||||
\(726\) | 1.99875e11 | − | 2.30248e11i | 0.719468 | − | 0.828799i | ||||
\(727\) | −1.66146e11 | −0.594775 | −0.297387 | − | 0.954757i | \(-0.596115\pi\) | ||||
−0.297387 | + | 0.954757i | \(0.596115\pi\) | |||||||
\(728\) | 1.05449e11 | − | 1.63109e11i | 0.375419 | − | 0.580702i | ||||
\(729\) | − | 1.04604e10i | − | 0.0370370i | ||||||
\(730\) | 1.38898e10 | − | 1.60005e10i | 0.0489108 | − | 0.0563433i | ||||
\(731\) | 1.11600e11 | − | 1.11600e11i | 0.390837 | − | 0.390837i | ||||
\(732\) | 9.46990e10 | − | 1.34413e10i | 0.329838 | − | 0.0468163i | ||||
\(733\) | −3.41230e11 | + | 3.41230e11i | −1.18204 | + | 1.18204i | −0.202823 | + | 0.979215i | \(0.565011\pi\) |
−0.979215 | + | 0.202823i | \(0.934989\pi\) | |||||||
\(734\) | −3.44401e9 | − | 4.87719e10i | −0.0118654 | − | 0.168030i | ||||
\(735\) | 8.92476e9i | 0.0305807i | ||||||||
\(736\) | 1.95395e11 | − | 7.18761e10i | 0.665888 | − | 0.244948i | ||||
\(737\) | 1.77933e11 | 0.603098 | ||||||||
\(738\) | 1.86973e11 | − | 1.32030e10i | 0.630307 | − | 0.0445090i | ||||
\(739\) | −2.85717e11 | − | 2.85717e11i | −0.957985 | − | 0.957985i | 0.0411670 | − | 0.999152i | \(-0.486892\pi\) |
−0.999152 | + | 0.0411670i | \(0.986892\pi\) | |||||||
\(740\) | 8.52725e9 | + | 6.00776e10i | 0.0284369 | + | 0.200348i | ||||
\(741\) | −1.04012e11 | − | 1.04012e11i | −0.344992 | − | 0.344992i | ||||
\(742\) | −3.38945e11 | − | 2.94233e11i | −1.11818 | − | 0.970680i | ||||
\(743\) | 5.52842e11 | 1.81403 | 0.907017 | − | 0.421094i | \(-0.138354\pi\) | ||||
0.907017 | + | 0.421094i | \(0.138354\pi\) | |||||||
\(744\) | −1.12507e11 | + | 1.74027e11i | −0.367188 | + | 0.567970i | ||||
\(745\) | 2.61231e9i | 0.00848009i | ||||||||
\(746\) | 3.50790e10 | + | 3.04516e10i | 0.113264 | + | 0.0983229i | ||||
\(747\) | −5.95608e10 | + | 5.95608e10i | −0.191284 | + | 0.191284i | ||||
\(748\) | −5.69017e11 | + | 7.57266e11i | −1.81769 | + | 2.41903i | ||||
\(749\) | 5.73115e10 | − | 5.73115e10i | 0.182102 | − | 0.182102i | ||||
\(750\) | 1.21076e11 | − | 8.54976e9i | 0.382661 | − | 0.0270215i | ||||
\(751\) | − | 1.14996e11i | − | 0.361512i | −0.983528 | − | 0.180756i | \(-0.942145\pi\) | ||
0.983528 | − | 0.180756i | \(-0.0578545\pi\) | |||||||
\(752\) | 3.72904e10 | + | 1.28716e11i | 0.116607 | + | 0.402496i | ||||
\(753\) | 1.34849e11 | 0.419439 | ||||||||
\(754\) | −2.83802e10 | − | 4.01902e11i | −0.0878072 | − | 1.24347i | ||||
\(755\) | 7.56345e10 | + | 7.56345e10i | 0.232773 | + | 0.232773i | ||||
\(756\) | −3.48286e10 | + | 4.63511e10i | −0.106623 | + | 0.141897i | ||||
\(757\) | 3.14721e10 | + | 3.14721e10i | 0.0958390 | + | 0.0958390i | 0.753401 | − | 0.657562i | \(-0.228412\pi\) |
−0.657562 | + | 0.753401i | \(0.728412\pi\) | |||||||
\(758\) | −2.59600e10 | + | 2.99048e10i | −0.0786371 | + | 0.0905868i | ||||
\(759\) | 2.31546e11 | 0.697701 | ||||||||
\(760\) | −2.79817e10 | − | 1.30327e11i | −0.0838727 | − | 0.390644i | ||||
\(761\) | − | 3.65451e11i | − | 1.08966i | −0.838547 | − | 0.544829i | \(-0.816594\pi\) | ||
0.838547 | − | 0.544829i | \(-0.183406\pi\) | |||||||
\(762\) | −1.69131e11 | + | 1.94832e11i | −0.501652 | + | 0.577883i | ||||
\(763\) | 2.99979e11 | − | 2.99979e11i | 0.885100 | − | 0.885100i | ||||
\(764\) | 5.93281e10 | + | 4.17988e11i | 0.174135 | + | 1.22685i | ||||
\(765\) | 5.08384e10 | − | 5.08384e10i | 0.148438 | − | 0.148438i | ||||
\(766\) | 1.07350e10 | + | 1.52023e11i | 0.0311809 | + | 0.441564i | ||||
\(767\) | 4.87924e10i | 0.140984i | ||||||||
\(768\) | −1.95952e11 | − | 4.41104e10i | −0.563256 | − | 0.126793i | ||||
\(769\) | 1.60687e11 | 0.459490 | 0.229745 | − | 0.973251i | \(-0.426211\pi\) | ||||
0.229745 | + | 0.973251i | \(0.426211\pi\) | |||||||
\(770\) | 1.95262e11 | − | 1.37884e10i | 0.555464 | − | 0.0392239i | ||||
\(771\) | −1.13243e11 | − | 1.13243e11i | −0.320475 | − | 0.320475i | ||||
\(772\) | −6.22566e11 | + | 8.83652e10i | −1.75273 | + | 0.248778i | ||||
\(773\) | −4.70343e11 | − | 4.70343e11i | −1.31734 | − | 1.31734i | −0.915876 | − | 0.401460i | \(-0.868503\pi\) |
−0.401460 | − | 0.915876i | \(-0.631497\pi\) | |||||||
\(774\) | 2.81071e10 | + | 2.43993e10i | 0.0783162 | + | 0.0679852i | ||||
\(775\) | 3.69489e11 | 1.02422 | ||||||||
\(776\) | −7.27645e10 | + | 1.56228e10i | −0.200665 | + | 0.0430836i | ||||
\(777\) | 1.10788e11i | 0.303954i | ||||||||
\(778\) | 4.21447e11 | + | 3.65852e11i | 1.15034 | + | 0.998590i | ||||
\(779\) | −5.56350e11 | + | 5.56350e11i | −1.51077 | + | 1.51077i | ||||
\(780\) | −4.54095e10 | − | 3.41211e10i | −0.122678 | − | 0.0921818i | ||||
\(781\) | −4.73433e11 | + | 4.73433e11i | −1.27249 | + | 1.27249i | ||||
\(782\) | −4.70199e11 | + | 3.32030e10i | −1.25735 | + | 0.0887871i | ||||
\(783\) | 1.20269e11i | 0.319969i | ||||||||
\(784\) | −5.42205e10 | + | 1.57083e10i | −0.143516 | + | 0.0415781i | ||||
\(785\) | −1.04572e11 | −0.275383 | ||||||||
\(786\) | 8.87363e9 | + | 1.25663e11i | 0.0232494 | + | 0.329243i | ||||
\(787\) | 1.00923e11 | + | 1.00923e11i | 0.263082 | + | 0.263082i | 0.826305 | − | 0.563223i | \(-0.190439\pi\) |
−0.563223 | + | 0.826305i | \(0.690439\pi\) | |||||||
\(788\) | 4.84486e11 | + | 3.64047e11i | 1.25654 | + | 0.944176i | ||||
\(789\) | −1.84599e11 | − | 1.84599e11i | −0.476346 | − | 0.476346i | ||||
\(790\) | 1.21731e10 | − | 1.40229e10i | 0.0312531 | − | 0.0360023i | ||||
\(791\) | 4.22435e11 | 1.07908 | ||||||||
\(792\) | −1.87594e11 | − | 1.21278e11i | −0.476780 | − | 0.308235i | ||||
\(793\) | 1.71085e11i | 0.432632i | ||||||||
\(794\) | 1.49760e11 | − | 1.72517e11i | 0.376802 | − | 0.434061i | ||||
\(795\) | −9.28148e10 | + | 9.28148e10i | −0.232353 | + | 0.232353i | ||||
\(796\) | −5.67899e11 | + | 8.06060e10i | −1.41455 | + | 0.200777i | ||||
\(797\) | −4.91042e11 | + | 4.91042e11i | −1.21699 | + | 1.21699i | −0.248303 | + | 0.968683i | \(0.579873\pi\) |
−0.968683 | + | 0.248303i | \(0.920127\pi\) | |||||||
\(798\) | −1.71429e10 | − | 2.42766e11i | −0.0422739 | − | 0.598656i | ||||
\(799\) | − | 3.03406e11i | − | 0.744454i | ||||||
\(800\) | 1.23638e11 | + | 3.36109e11i | 0.301850 | + | 0.820578i | ||||
\(801\) | 9.58363e10 | 0.232809 | ||||||||
\(802\) | −2.84036e11 | + | 2.00571e10i | −0.686556 | + | 0.0484809i | ||||
\(803\) | 1.05394e11 | + | 1.05394e11i | 0.253485 | + | 0.253485i | ||||
\(804\) | −1.20045e10 | − | 8.45765e10i | −0.0287291 | − | 0.202407i | ||||
\(805\) | 6.88801e10 | + | 6.88801e10i | 0.164025 | + | 0.164025i | ||||
\(806\) | −2.79912e11 | − | 2.42987e11i | −0.663255 | − | 0.575762i | ||||
\(807\) | −9.45257e9 | −0.0222872 | ||||||||
\(808\) | 2.93290e11 | + | 1.89609e11i | 0.688100 | + | 0.444851i | ||||
\(809\) | − | 4.34749e11i | − | 1.01495i | −0.861667 | − | 0.507475i | \(-0.830579\pi\) | ||
0.861667 | − | 0.507475i | \(-0.169421\pi\) | |||||||
\(810\) | 1.28039e10 | + | 1.11149e10i | 0.0297442 | + | 0.0258205i | ||||
\(811\) | −7.79576e10 | + | 7.79576e10i | −0.180208 | + | 0.180208i | −0.791447 | − | 0.611238i | \(-0.790672\pi\) |
0.611238 | + | 0.791447i | \(0.290672\pi\) | |||||||
\(812\) | 4.00447e11 | − | 5.32927e11i | 0.921130 | − | 1.22587i | ||||
\(813\) | −2.69937e11 | + | 2.69937e11i | −0.617875 | + | 0.617875i | ||||
\(814\) | −4.25792e11 | + | 3.00672e10i | −0.969840 | + | 0.0684850i | ||||
\(815\) | − | 6.51903e10i | − | 0.147758i | ||||||
\(816\) | 3.98338e11 | + | 2.19379e11i | 0.898444 | + | 0.494805i | ||||
\(817\) | −1.56237e11 | −0.350667 | ||||||||
\(818\) | 5.37866e10 | + | 7.61691e11i | 0.120133 | + | 1.70124i | ||||
\(819\) | −7.33302e10 | − | 7.33302e10i | −0.162985 | − | 0.162985i | ||||
\(820\) | −1.82511e11 | + | 2.42892e11i | −0.403677 | + | 0.537226i | ||||
\(821\) | −3.90502e11 | − | 3.90502e11i | −0.859510 | − | 0.859510i | 0.131770 | − | 0.991280i | \(-0.457934\pi\) |
−0.991280 | + | 0.131770i | \(0.957934\pi\) | |||||||
\(822\) | 1.14426e11 | − | 1.31814e11i | 0.250632 | − | 0.288718i | ||||
\(823\) | −1.27217e11 | −0.277297 | −0.138648 | − | 0.990342i | \(-0.544276\pi\) | ||||
−0.138648 | + | 0.990342i | \(0.544276\pi\) | |||||||
\(824\) | −1.69932e11 | + | 3.64851e10i | −0.368610 | + | 0.0791419i | ||||
\(825\) | 3.98294e11i | 0.859781i | ||||||||
\(826\) | −5.29205e10 | + | 6.09623e10i | −0.113685 | + | 0.130961i | ||||
\(827\) | −4.50339e11 | + | 4.50339e11i | −0.962759 | + | 0.962759i | −0.999331 | − | 0.0365718i | \(-0.988356\pi\) |
0.0365718 | + | 0.999331i | \(0.488356\pi\) | |||||||
\(828\) | −1.56216e10 | − | 1.10060e11i | −0.0332356 | − | 0.234157i | ||||
\(829\) | 3.38841e11 | − | 3.38841e11i | 0.717427 | − | 0.717427i | −0.250651 | − | 0.968078i | \(-0.580645\pi\) |
0.968078 | + | 0.250651i | \(0.0806446\pi\) | |||||||
\(830\) | −9.61720e9 | − | 1.36193e11i | −0.0202645 | − | 0.286973i | ||||
\(831\) | − | 3.39173e10i | − | 0.0711241i | ||||||
\(832\) | 1.27372e11 | − | 3.35932e11i | 0.265815 | − | 0.701064i | ||||
\(833\) | 1.27807e11 | 0.265446 | ||||||||
\(834\) | 4.84984e11 | − | 3.42470e10i | 1.00245 | − | 0.0707877i | ||||
\(835\) | 1.84014e11 | + | 1.84014e11i | 0.378534 | + | 0.378534i | ||||
\(836\) | 9.28376e11 | − | 1.31771e11i | 1.90064 | − | 0.269771i | ||||
\(837\) | 7.82388e10 | + | 7.82388e10i | 0.159412 | + | 0.159412i | ||||
\(838\) | 5.10485e11 | + | 4.43145e11i | 1.03516 | + | 0.898606i | ||||
\(839\) | 4.79274e11 | 0.967244 | 0.483622 | − | 0.875277i | \(-0.339321\pi\) | ||||
0.483622 | + | 0.875277i | \(0.339321\pi\) | |||||||
\(840\) | −1.97277e10 | − | 9.18832e10i | −0.0396240 | − | 0.184552i | ||||
\(841\) | − | 8.82566e11i | − | 1.76426i | ||||||
\(842\) | −2.95561e11 | − | 2.56572e11i | −0.588029 | − | 0.510460i | ||||
\(843\) | 1.62924e11 | − | 1.62924e11i | 0.322608 | − | 0.322608i | ||||
\(844\) | −5.66275e11 | − | 4.25505e11i | −1.11598 | − | 0.838561i | ||||
\(845\) | −5.59559e10 | + | 5.59559e10i | −0.109754 | + | 0.109754i | ||||
\(846\) | 7.13744e10 | − | 5.04008e9i | 0.139335 | − | 0.00983911i | ||||
\(847\) | 9.02326e11i | 1.75319i | ||||||||
\(848\) | −7.27238e11 | − | 4.00516e11i | −1.40635 | − | 0.774526i | ||||
\(849\) | −5.39202e10 | −0.103782 | ||||||||
\(850\) | −5.71142e10 | − | 8.08814e11i | −0.109413 | − | 1.54943i | ||||
\(851\) | −1.50201e11 | − | 1.50201e11i | −0.286388 | − | 0.286388i | ||||
\(852\) | 2.56976e11 | + | 1.93094e11i | 0.487680 | + | 0.366447i | ||||
\(853\) | 4.70031e11 | + | 4.70031e11i | 0.887831 | + | 0.887831i | 0.994314 | − | 0.106483i | \(-0.0339590\pi\) |
−0.106483 | + | 0.994314i | \(0.533959\pi\) | |||||||
\(854\) | −1.85560e11 | + | 2.13757e11i | −0.348860 | + | 0.401873i | ||||
\(855\) | −7.11721e10 | −0.133182 | ||||||||
\(856\) | 8.13951e10 | − | 1.25903e11i | 0.151601 | − | 0.234499i | ||||
\(857\) | 3.64332e11i | 0.675420i | 0.941250 | + | 0.337710i | \(0.109652\pi\) | ||||
−0.941250 | + | 0.337710i | \(0.890348\pi\) | |||||||
\(858\) | 2.61930e11 | − | 3.01733e11i | 0.483321 | − | 0.556767i | ||||
\(859\) | 3.71572e11 | − | 3.71572e11i | 0.682449 | − | 0.682449i | −0.278102 | − | 0.960551i | \(-0.589705\pi\) |
0.960551 | + | 0.278102i | \(0.0897054\pi\) | |||||||
\(860\) | −5.97317e10 | + | 8.47814e9i | −0.109197 | + | 0.0154991i | ||||
\(861\) | −3.92237e11 | + | 3.92237e11i | −0.713734 | + | 0.713734i | ||||
\(862\) | −1.48339e10 | − | 2.10069e11i | −0.0268675 | − | 0.380480i | ||||
\(863\) | 2.41713e11i | 0.435769i | 0.975975 | + | 0.217885i | \(0.0699156\pi\) | ||||
−0.975975 | + | 0.217885i | \(0.930084\pi\) | |||||||
\(864\) | −4.49904e10 | + | 9.73506e10i | −0.0807355 | + | 0.174696i | ||||
\(865\) | −1.14342e11 | −0.204241 | ||||||||
\(866\) | 5.80934e11 | − | 4.10225e10i | 1.03289 | − | 0.0729374i | ||||
\(867\) | −4.97359e11 | − | 4.97359e11i | −0.880225 | − | 0.880225i | ||||
\(868\) | −8.61825e10 | − | 6.07188e11i | −0.151824 | − | 1.06966i | ||||
\(869\) | 9.23675e10 | + | 9.23675e10i | 0.161972 | + | 0.161972i | ||||
\(870\) | −1.47215e11 | − | 1.27795e11i | −0.256965 | − | 0.223068i | ||||
\(871\) | 1.52797e11 | 0.265487 | ||||||||
\(872\) | 4.26037e11 | − | 6.58999e11i | 0.736854 | − | 1.13977i | ||||
\(873\) | 3.97369e10i | 0.0684128i | ||||||||
\(874\) | 3.52373e11 | + | 3.05890e11i | 0.603889 | + | 0.524228i | ||||
\(875\) | −2.53998e11 | + | 2.53998e11i | −0.433309 | + | 0.433309i | ||||
\(876\) | 4.29859e10 | − | 5.72070e10i | 0.0729977 | − | 0.0971477i | ||||
\(877\) | −9.18716e9 | + | 9.18716e9i | −0.0155304 | + | 0.0155304i | −0.714829 | − | 0.699299i | \(-0.753496\pi\) |
0.699299 | + | 0.714829i | \(0.253496\pi\) | |||||||
\(878\) | 1.10046e12 | − | 7.77085e10i | 1.85181 | − | 0.130765i | ||||
\(879\) | − | 3.43234e11i | − | 0.574956i | ||||||
\(880\) | 3.47782e11 | − | 1.00756e11i | 0.579931 | − | 0.168012i | ||||
\(881\) | −9.87034e9 | −0.0163843 | −0.00819216 | − | 0.999966i | \(-0.502608\pi\) | ||||
−0.00819216 | + | 0.999966i | \(0.502608\pi\) | |||||||
\(882\) | 2.12309e9 | + | 3.00659e10i | 0.00350828 | + | 0.0496820i | ||||
\(883\) | 3.36887e11 | + | 3.36887e11i | 0.554168 | + | 0.554168i | 0.927641 | − | 0.373473i | \(-0.121833\pi\) |
−0.373473 | + | 0.927641i | \(0.621833\pi\) | |||||||
\(884\) | −4.88633e11 | + | 6.50288e11i | −0.800155 | + | 1.06487i | ||||
\(885\) | 1.66936e10 | + | 1.66936e10i | 0.0272130 | + | 0.0272130i | ||||
\(886\) | −1.61123e11 | + | 1.85607e11i | −0.261470 | + | 0.301203i | ||||
\(887\) | −3.26209e11 | −0.526989 | −0.263495 | − | 0.964661i | \(-0.584875\pi\) | ||||
−0.263495 | + | 0.964661i | \(0.584875\pi\) | |||||||
\(888\) | 4.30184e10 | + | 2.00362e11i | 0.0691835 | + | 0.322228i | ||||
\(889\) | − | 7.63532e11i | − | 1.22242i | ||||||
\(890\) | −1.01833e11 | + | 1.17308e11i | −0.162304 | + | 0.186968i | ||||
\(891\) | −8.43381e10 | + | 8.43381e10i | −0.133817 | + | 0.133817i | ||||
\(892\) | 3.26779e10 | + | 2.30228e11i | 0.0516173 | + | 0.363663i | ||||
\(893\) | −2.12380e11 | + | 2.12380e11i | −0.333970 | + | 0.333970i | ||||
\(894\) | 6.21437e8 | + | 8.80040e9i | 0.000972853 | + | 0.0137769i | ||||
\(895\) | − | 2.10092e11i | − | 0.327430i | ||||||
\(896\) | 5.23495e11 | − | 2.81573e11i | 0.812233 | − | 0.436877i | ||||
\(897\) | 1.98836e11 | 0.307132 | ||||||||
\(898\) | 3.03159e10 | − | 2.14075e9i | 0.0466193 | − | 0.00329201i | ||||
\(899\) | −8.99561e11 | − | 8.99561e11i | −1.37718 | − | 1.37718i | ||||
\(900\) | 1.89320e11 | − | 2.68715e10i | 0.288553 | − | 0.0409564i | ||||
\(901\) | 1.32916e12 | + | 1.32916e12i | 2.01687 | + | 2.01687i | ||||
\(902\) | −1.61394e12 | − | 1.40104e12i | −2.43816 | − | 2.11653i | ||||
\(903\) | −1.10150e11 | −0.165666 | ||||||||
\(904\) | 7.63983e11 | − | 1.64030e11i | 1.14396 | − | 0.245612i | ||||
\(905\) | − | 1.22846e11i | − | 0.183132i | ||||||
\(906\) | 2.72791e11 | + | 2.36806e11i | 0.404872 | + | 0.351463i | ||||
\(907\) | 6.89442e11 | − | 6.89442e11i | 1.01875 | − | 1.01875i | 0.0189314 | − | 0.999821i | \(-0.493974\pi\) |
0.999821 | − | 0.0189314i | \(-0.00602641\pi\) | |||||||
\(908\) | −6.83819e11 | − | 5.13829e11i | −1.00600 | − | 0.755918i | ||||
\(909\) | 1.31856e11 | − | 1.31856e11i | 0.193128 | − | 0.193128i | ||||
\(910\) | 1.67678e11 | − | 1.18405e10i | 0.244518 | − | 0.0172666i | ||||
\(911\) | 6.22304e11i | 0.903501i | 0.892144 | + | 0.451751i | \(0.149200\pi\) | ||||
−0.892144 | + | 0.451751i | \(0.850800\pi\) | |||||||
\(912\) | −1.25269e11 | − | 4.32392e11i | −0.181077 | − | 0.625026i | ||||
\(913\) | 9.60435e11 | 1.38224 | ||||||||
\(914\) | −2.46528e10 | − | 3.49117e11i | −0.0353249 | − | 0.500248i | ||||
\(915\) | 5.85341e10 | + | 5.85341e10i | 0.0835073 | + | 0.0835073i | ||||
\(916\) | 7.40833e11 | + | 5.56669e11i | 1.05230 | + | 0.790706i | ||||
\(917\) | −2.63619e11 | − | 2.63619e11i | −0.372821 | − | 0.372821i | ||||
\(918\) | 1.59171e11 | − | 1.83359e11i | 0.224127 | − | 0.258185i | ||||
\(919\) | −9.92923e11 | −1.39205 | −0.696023 | − | 0.718020i | \(-0.745049\pi\) | ||||
−0.696023 | + | 0.718020i | \(0.745049\pi\) | |||||||
\(920\) | 1.51317e11 | + | 9.78251e10i | 0.211220 | + | 0.136552i | ||||
\(921\) | − | 2.57111e11i | − | 0.357340i | ||||||
\(922\) | −2.07861e10 | + | 2.39447e10i | −0.0287640 | + | 0.0331349i | ||||
\(923\) | −4.06552e11 | + | 4.06552e11i | −0.560157 | + | 0.560157i | ||||
\(924\) | 6.54523e11 | − | 9.29011e10i | 0.897918 | − | 0.127448i | ||||
\(925\) | 2.58369e11 | − | 2.58369e11i | 0.352917 | − | 0.352917i | ||||
\(926\) | 3.13770e10 | + | 4.44341e11i | 0.0426744 | + | 0.604328i | ||||
\(927\) | 9.28005e10i | 0.125670i | ||||||||
\(928\) | 5.17283e11 | − | 1.11930e12i | 0.697487 | − | 1.50923i | ||||
\(929\) | −4.47891e11 | −0.601326 | −0.300663 | − | 0.953730i | \(-0.597208\pi\) | ||||
−0.300663 | + | 0.953730i | \(0.597208\pi\) | |||||||
\(930\) | −1.78902e11 | + | 1.26331e10i | −0.239157 | + | 0.0168880i | ||||
\(931\) | −8.94631e10 | − | 8.94631e10i | −0.119082 | − | 0.119082i | ||||
\(932\) | −6.37490e10 | − | 4.49136e11i | −0.0844909 | − | 0.595270i | ||||
\(933\) | 3.09770e11 | + | 3.09770e11i | 0.408802 | + | 0.408802i | ||||
\(934\) | −4.08810e11 | − | 3.54882e11i | −0.537198 | − | 0.466334i | ||||
\(935\) | −8.19784e11 | −1.07264 | ||||||||
\(936\) | −1.61093e11 | − | 1.04145e11i | −0.209881 | − | 0.135686i | ||||
\(937\) | 7.44085e11i | 0.965304i | 0.875812 | + | 0.482652i | \(0.160326\pi\) | ||||
−0.875812 | + | 0.482652i | \(0.839674\pi\) | |||||||
\(938\) | 1.90908e11 | + | 1.65725e11i | 0.246612 | + | 0.214080i | ||||
\(939\) | −5.05404e11 | + | 5.05404e11i | −0.650095 | + | 0.650095i | ||||
\(940\) | −6.96713e10 | + | 9.27207e10i | −0.0892365 | + | 0.118759i | ||||
\(941\) | 2.93951e11 | − | 2.93951e11i | 0.374901 | − | 0.374901i | −0.494358 | − | 0.869258i | \(-0.664597\pi\) |
0.869258 | + | 0.494358i | \(0.164597\pi\) | |||||||
\(942\) | −3.52283e11 | + | 2.48764e10i | −0.447392 | + | 0.0315925i | ||||
\(943\) | − | 1.06356e12i | − | 1.34497i | ||||||
\(944\) | −7.20364e10 | + | 1.30800e11i | −0.0907118 | + | 0.164710i | ||||
\(945\) | −5.01777e10 | −0.0629193 | ||||||||
\(946\) | −2.98940e10 | − | 4.23340e11i | −0.0373267 | − | 0.528597i | ||||
\(947\) | 3.07708e11 | + | 3.07708e11i | 0.382595 | + | 0.382595i | 0.872036 | − | 0.489441i | \(-0.162799\pi\) |
−0.489441 | + | 0.872036i | \(0.662799\pi\) | |||||||
\(948\) | 3.76730e10 | − | 5.01364e10i | 0.0466441 | − | 0.0620755i | ||||
\(949\) | 9.05050e10 | + | 9.05050e10i | 0.111585 | + | 0.111585i | ||||
\(950\) | −5.26178e11 | + | 6.06136e11i | −0.646008 | + | 0.744176i | ||||
\(951\) | 7.49440e11 | 0.916252 | ||||||||
\(952\) | −1.31582e12 | + | 2.82511e11i | −1.60195 | + | 0.343944i | ||||
\(953\) | 6.85820e11i | 0.831455i | 0.909489 | + | 0.415727i | \(0.136473\pi\) | ||||
−0.909489 | + | 0.415727i | \(0.863527\pi\) | |||||||
\(954\) | −2.90596e11 | + | 3.34755e11i | −0.350830 | + | 0.404142i | ||||
\(955\) | −2.58361e11 | + | 2.58361e11i | −0.310609 | + | 0.310609i | ||||
\(956\) | −1.65310e10 | − | 1.16467e11i | −0.0197910 | − | 0.139435i | ||||
\(957\) | 9.69688e11 | − | 9.69688e11i | 1.15607 | − | 1.15607i | ||||
\(958\) | 8.26652e10 | + | 1.17065e12i | 0.0981433 | + | 1.38984i | ||||
\(959\) | 5.16570e11i | 0.610738i | ||||||||
\(960\) | −7.13557e10 | − | 1.58512e11i | −0.0840125 | − | 0.186629i | ||||
\(961\) | −3.17491e11 | −0.372252 | ||||||||
\(962\) | −3.65642e11 | + | 2.58197e10i | −0.426929 | + | 0.0301474i | ||||
\(963\) | −5.66030e10 | − | 5.66030e10i | −0.0658165 | − | 0.0658165i | ||||
\(964\) | 4.08838e11 | − | 5.80292e10i | 0.473416 | − | 0.0671953i | ||||
\(965\) | −3.84812e11 | − | 3.84812e11i | −0.443751 | − | 0.443751i | ||||
\(966\) | 2.48430e11 | + | 2.15658e11i | 0.285296 | + | 0.247661i | ||||
\(967\) | −1.02247e11 | −0.116936 | −0.0584678 | − | 0.998289i | \(-0.518621\pi\) | ||||
−0.0584678 | + | 0.998289i | \(0.518621\pi\) | |||||||
\(968\) | 3.50370e11 | + | 1.63187e12i | 0.399048 | + | 1.85860i | ||||
\(969\) | 1.01922e12i | 1.15604i | ||||||||
\(970\) | −4.86397e10 | − | 4.22234e10i | −0.0549419 | − | 0.0476943i | ||||
\(971\) | 1.47173e11 | − | 1.47173e11i | 0.165558 | − | 0.165558i | −0.619466 | − | 0.785024i | \(-0.712651\pi\) |
0.785024 | + | 0.619466i | \(0.212651\pi\) | |||||||
\(972\) | 4.57781e10 | + | 3.43981e10i | 0.0512853 | + | 0.0385363i | ||||
\(973\) | −1.01742e12 | + | 1.01742e12i | −1.13513 | + | 1.13513i | ||||
\(974\) | 1.30994e12 | − | 9.25007e10i | 1.45551 | − | 0.102780i | ||||
\(975\) | 3.42028e11i | 0.378480i | ||||||||
\(976\) | −2.52587e11 | + | 4.58636e11i | −0.278363 | + | 0.505439i | ||||
\(977\) | 5.20634e11 | 0.571418 | 0.285709 | − | 0.958316i | \(-0.407771\pi\) | ||||
0.285709 | + | 0.958316i | \(0.407771\pi\) | |||||||
\(978\) | −1.55080e10 | − | 2.19614e11i | −0.0169512 | − | 0.240051i | ||||
\(979\) | −7.72694e11 | − | 7.72694e11i | −0.841157 | − | 0.841157i | ||||
\(980\) | −3.90578e10 | − | 2.93484e10i | −0.0423452 | − | 0.0318186i | ||||
\(981\) | −2.96271e11 | − | 2.96271e11i | −0.319899 | − | 0.319899i | ||||
\(982\) | −2.02635e11 | + | 2.33428e11i | −0.217906 | + | 0.251019i | ||||
\(983\) | −6.78607e11 | −0.726782 | −0.363391 | − | 0.931637i | \(-0.618381\pi\) | ||||
−0.363391 | + | 0.931637i | \(0.618381\pi\) | |||||||
\(984\) | −5.57065e11 | + | 8.61674e11i | −0.594190 | + | 0.919099i | ||||
\(985\) | 5.24484e11i | 0.557170i | ||||||||
\(986\) | −1.83009e12 | + | 2.10820e12i | −1.93627 | + | 2.23050i | ||||
\(987\) | −1.49732e11 | + | 1.49732e11i | −0.157777 | + | 0.157777i | ||||
\(988\) | 7.97226e11 | − | 1.13156e11i | 0.836669 | − | 0.118754i | ||||
\(989\) | 1.49336e11 | − | 1.49336e11i | 0.156092 | − | 0.156092i | ||||
\(990\) | −1.36180e10 | − | 1.92849e11i | −0.0141766 | − | 0.200760i | ||||
\(991\) | 1.30297e12i | 1.35095i | 0.737381 | + | 0.675477i | \(0.236062\pi\) | ||||
−0.737381 | + | 0.675477i | \(0.763938\pi\) | |||||||
\(992\) | −3.91631e11 | − | 1.06465e12i | −0.404418 | − | 1.09941i | ||||
\(993\) | −2.73547e11 | −0.281342 | ||||||||
\(994\) | −9.48905e11 | + | 6.70066e10i | −0.972025 | + | 0.0686392i | ||||
\(995\) | −3.51022e11 | − | 3.51022e11i | −0.358131 | − | 0.358131i | ||||
\(996\) | −6.47971e10 | − | 4.56520e11i | −0.0658443 | − | 0.463898i | ||||
\(997\) | −8.97732e11 | − | 8.97732e11i | −0.908586 | − | 0.908586i | 0.0875721 | − | 0.996158i | \(-0.472089\pi\) |
−0.996158 | + | 0.0875721i | \(0.972089\pi\) | |||||||
\(998\) | 7.16104e11 | + | 6.21640e11i | 0.721862 | + | 0.626638i | ||||
\(999\) | 1.09418e11 | 0.109857 |
(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 | 48.9.l.a.43.1 | yes | 64 | |
4.3 | odd | 2 | 192.9.l.a.79.26 | 64 | |||
16.3 | odd | 4 | inner | 48.9.l.a.19.1 | ✓ | 64 | |
16.13 | even | 4 | 192.9.l.a.175.26 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.9.l.a.19.1 | ✓ | 64 | 16.3 | odd | 4 | inner | |
48.9.l.a.43.1 | yes | 64 | 1.1 | even | 1 | trivial | |
192.9.l.a.79.26 | 64 | 4.3 | odd | 2 | |||
192.9.l.a.175.26 | 64 | 16.13 | even | 4 |