Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,8,Mod(11,48)]
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, 1, 2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.k (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: | \(14.9944812232\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 48.11 |
Dual form | 48.8.k.a.35.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.3125 | + | 0.167474i | −0.999890 | + | 0.0148027i | ||||
\(3\) | 4.08471 | + | 46.5866i | 0.0873448 | + | 0.996178i | ||||
\(4\) | 127.944 | − | 3.78909i | 0.999562 | − | 0.0296023i | ||||
\(5\) | −280.037 | + | 280.037i | −1.00189 | + | 1.00189i | −0.00189302 | + | 0.999998i | \(0.500603\pi\) |
−0.999998 | + | 0.00189302i | \(0.999397\pi\) | |||||||
\(6\) | −54.0103 | − | 526.326i | −0.102081 | − | 0.994776i | ||||
\(7\) | −532.864 | −0.587183 | −0.293591 | − | 0.955931i | \(-0.594850\pi\) | ||||
−0.293591 | + | 0.955931i | \(0.594850\pi\) | |||||||
\(8\) | −1446.73 | + | 64.2912i | −0.999014 | + | 0.0443953i | ||||
\(9\) | −2153.63 | + | 380.586i | −0.984742 | + | 0.174022i | ||||
\(10\) | 3121.01 | − | 3214.81i | 0.986951 | − | 1.01661i | ||||
\(11\) | 4874.78 | + | 4874.78i | 1.10428 | + | 1.10428i | 0.993888 | + | 0.110396i | \(0.0352120\pi\) |
0.110396 | + | 0.993888i | \(0.464788\pi\) | |||||||
\(12\) | 699.135 | + | 5945.00i | 0.116796 | + | 0.993156i | ||||
\(13\) | −6614.77 | + | 6614.77i | −0.835052 | + | 0.835052i | −0.988203 | − | 0.153151i | \(-0.951058\pi\) |
0.153151 | + | 0.988203i | \(0.451058\pi\) | |||||||
\(14\) | 6028.01 | − | 89.2408i | 0.587118 | − | 0.00869192i | ||||
\(15\) | −14189.9 | − | 11902.1i | −1.08557 | − | 0.910552i | ||||
\(16\) | 16355.3 | − | 969.582i | 0.998247 | − | 0.0591786i | ||||
\(17\) | − | 17690.5i | − | 0.873312i | −0.899628 | − | 0.436656i | \(-0.856163\pi\) | ||
0.899628 | − | 0.436656i | \(-0.143837\pi\) | |||||||
\(18\) | 24299.1 | − | 4666.05i | 0.982058 | − | 0.188580i | ||||
\(19\) | 8933.09 | + | 8933.09i | 0.298789 | + | 0.298789i | 0.840539 | − | 0.541751i | \(-0.182238\pi\) |
−0.541751 | + | 0.840539i | \(0.682238\pi\) | |||||||
\(20\) | −34768.0 | + | 36890.1i | −0.971794 | + | 1.03111i | ||||
\(21\) | −2176.60 | − | 24824.3i | −0.0512874 | − | 0.584938i | ||||
\(22\) | −55962.2 | − | 54329.4i | −1.12051 | − | 1.08782i | ||||
\(23\) | − | 43376.1i | − | 0.743366i | −0.928360 | − | 0.371683i | \(-0.878781\pi\) | ||
0.928360 | − | 0.371683i | \(-0.121219\pi\) | |||||||
\(24\) | −8904.58 | − | 67135.5i | −0.131484 | − | 0.991318i | ||||
\(25\) | − | 78716.6i | − | 1.00757i | ||||||
\(26\) | 73721.6 | − | 75937.2i | 0.822599 | − | 0.847321i | ||||
\(27\) | −26527.2 | − | 98775.8i | −0.259369 | − | 0.965778i | ||||
\(28\) | −68176.7 | + | 2019.07i | −0.586925 | + | 0.0173819i | ||||
\(29\) | −62488.9 | − | 62488.9i | −0.475784 | − | 0.475784i | 0.427996 | − | 0.903781i | \(-0.359220\pi\) |
−0.903781 | + | 0.427996i | \(0.859220\pi\) | |||||||
\(30\) | 162516. | + | 132266.i | 1.09893 | + | 0.894383i | ||||
\(31\) | − | 146730.i | − | 0.884610i | −0.896865 | − | 0.442305i | \(-0.854161\pi\) | ||
0.896865 | − | 0.442305i | \(-0.145839\pi\) | |||||||
\(32\) | −184856. | + | 13707.4i | −0.997262 | + | 0.0739489i | ||||
\(33\) | −207188. | + | 247012.i | −1.00361 | + | 1.19652i | ||||
\(34\) | 2962.70 | + | 200124.i | 0.0129274 | + | 0.873217i | ||||
\(35\) | 149222. | − | 149222.i | 0.588293 | − | 0.588293i | ||||
\(36\) | −274102. | + | 56854.0i | −0.979159 | + | 0.203096i | ||||
\(37\) | 227020. | + | 227020.i | 0.736815 | + | 0.736815i | 0.971960 | − | 0.235145i | \(-0.0755566\pi\) |
−0.235145 | + | 0.971960i | \(0.575557\pi\) | |||||||
\(38\) | −102551. | − | 99559.2i | −0.303179 | − | 0.294333i | ||||
\(39\) | −335180. | − | 281141.i | −0.904798 | − | 0.758923i | ||||
\(40\) | 387133. | − | 423141.i | 0.956424 | − | 1.04538i | ||||
\(41\) | 646374. | 1.46467 | 0.732336 | − | 0.680944i | \(-0.238430\pi\) | ||||
0.732336 | + | 0.680944i | \(0.238430\pi\) | |||||||
\(42\) | 28780.1 | + | 280460.i | 0.0599404 | + | 0.584115i | ||||
\(43\) | −53791.8 | + | 53791.8i | −0.103175 | + | 0.103175i | −0.756810 | − | 0.653635i | \(-0.773243\pi\) |
0.653635 | + | 0.756810i | \(0.273243\pi\) | |||||||
\(44\) | 642170. | + | 605228.i | 1.13649 | + | 1.07111i | ||||
\(45\) | 496518. | − | 709675.i | 0.812253 | − | 1.16096i | ||||
\(46\) | 7264.36 | + | 490691.i | 0.0110039 | + | 0.743285i | ||||
\(47\) | −666787. | −0.936795 | −0.468397 | − | 0.883518i | \(-0.655168\pi\) | ||||
−0.468397 | + | 0.883518i | \(0.655168\pi\) | |||||||
\(48\) | 111976. | + | 757977.i | 0.146144 | + | 0.989263i | ||||
\(49\) | −539599. | −0.655217 | ||||||||
\(50\) | 13183.0 | + | 890479.i | 0.0149148 | + | 1.00746i | ||||
\(51\) | 824142. | − | 72260.8i | 0.869975 | − | 0.0762793i | ||||
\(52\) | −821256. | + | 871384.i | −0.809966 | + | 0.859405i | ||||
\(53\) | 819051. | − | 819051.i | 0.755693 | − | 0.755693i | −0.219843 | − | 0.975535i | \(-0.570554\pi\) |
0.975535 | + | 0.219843i | \(0.0705544\pi\) | |||||||
\(54\) | 316630. | + | 1.11296e6i | 0.273637 | + | 0.961833i | ||||
\(55\) | −2.73024e6 | −2.21275 | ||||||||
\(56\) | 770908. | − | 34258.5i | 0.586604 | − | 0.0260681i | ||||
\(57\) | −379674. | + | 452652.i | −0.271549 | + | 0.323744i | ||||
\(58\) | 717369. | + | 696439.i | 0.482775 | + | 0.468689i | ||||
\(59\) | 624777. | + | 624777.i | 0.396044 | + | 0.396044i | 0.876835 | − | 0.480791i | \(-0.159651\pi\) |
−0.480791 | + | 0.876835i | \(0.659651\pi\) | |||||||
\(60\) | −1.86060e6 | − | 1.46904e6i | −1.11205 | − | 0.878018i | ||||
\(61\) | −2.09262e6 | + | 2.09262e6i | −1.18042 | + | 1.18042i | −0.200782 | + | 0.979636i | \(0.564348\pi\) |
−0.979636 | + | 0.200782i | \(0.935652\pi\) | |||||||
\(62\) | 24573.4 | + | 1.65987e6i | 0.0130947 | + | 0.884513i | ||||
\(63\) | 1.14759e6 | − | 202801.i | 0.578223 | − | 0.102183i | ||||
\(64\) | 2.08889e6 | − | 186024.i | 0.996058 | − | 0.0887030i | ||||
\(65\) | − | 3.70476e6i | − | 1.67326i | ||||||
\(66\) | 2.30244e6 | − | 2.82901e6i | 0.985788 | − | 1.21124i | ||||
\(67\) | −2.12329e6 | − | 2.12329e6i | −0.862476 | − | 0.862476i | 0.129149 | − | 0.991625i | \(-0.458775\pi\) |
−0.991625 | + | 0.129149i | \(0.958775\pi\) | |||||||
\(68\) | −67031.0 | − | 2.26340e6i | −0.0258520 | − | 0.872930i | ||||
\(69\) | 2.02075e6 | − | 177179.i | 0.740525 | − | 0.0649292i | ||||
\(70\) | −1.66307e6 | + | 1.71306e6i | −0.579520 | + | 0.596937i | ||||
\(71\) | 3.60556e6i | 1.19555i | 0.801664 | + | 0.597775i | \(0.203949\pi\) | ||||
−0.801664 | + | 0.597775i | \(0.796051\pi\) | |||||||
\(72\) | 3.09125e6 | − | 689064.i | 0.976045 | − | 0.217568i | ||||
\(73\) | − | 4.50662e6i | − | 1.35588i | −0.735118 | − | 0.677939i | \(-0.762873\pi\) | ||
0.735118 | − | 0.677939i | \(-0.237127\pi\) | |||||||
\(74\) | −2.60618e6 | − | 2.53014e6i | −0.747641 | − | 0.725827i | ||||
\(75\) | 3.66714e6 | − | 321535.i | 1.00372 | − | 0.0880062i | ||||
\(76\) | 1.17678e6 | + | 1.10909e6i | 0.307503 | + | 0.289813i | ||||
\(77\) | −2.59760e6 | − | 2.59760e6i | −0.648416 | − | 0.648416i | ||||
\(78\) | 3.83879e6 | + | 3.12426e6i | 0.915933 | + | 0.745446i | ||||
\(79\) | 2.96722e6i | 0.677104i | 0.940948 | + | 0.338552i | \(0.109937\pi\) | ||||
−0.940948 | + | 0.338552i | \(0.890063\pi\) | |||||||
\(80\) | −4.30857e6 | + | 4.85161e6i | −0.940845 | + | 1.05943i | ||||
\(81\) | 4.49328e6 | − | 1.63928e6i | 0.939433 | − | 0.342734i | ||||
\(82\) | −7.31208e6 | + | 108251.i | −1.46451 | + | 0.0216812i | ||||
\(83\) | −6.95913e6 | + | 6.95913e6i | −1.33592 | + | 1.33592i | −0.435956 | + | 0.899968i | \(0.643590\pi\) |
−0.899968 | + | 0.435956i | \(0.856410\pi\) | |||||||
\(84\) | −372544. | − | 3.16788e6i | −0.0685804 | − | 0.583164i | ||||
\(85\) | 4.95401e6 | + | 4.95401e6i | 0.874964 | + | 0.874964i | ||||
\(86\) | 599509. | − | 617526.i | 0.101637 | − | 0.104691i | ||||
\(87\) | 2.65590e6 | − | 3.16640e6i | 0.432409 | − | 0.515523i | ||||
\(88\) | −7.36588e6 | − | 6.73907e6i | −1.15222 | − | 1.05417i | ||||
\(89\) | −2.66802e6 | −0.401166 | −0.200583 | − | 0.979677i | \(-0.564284\pi\) | ||||
−0.200583 | + | 0.979677i | \(0.564284\pi\) | |||||||
\(90\) | −5.49799e6 | + | 8.11133e6i | −0.794979 | + | 1.17285i | ||||
\(91\) | 3.52477e6 | − | 3.52477e6i | 0.490328 | − | 0.490328i | ||||
\(92\) | −164356. | − | 5.54971e6i | −0.0220053 | − | 0.743041i | ||||
\(93\) | 6.83564e6 | − | 599348.i | 0.881229 | − | 0.0772661i | ||||
\(94\) | 7.54300e6 | − | 111669.i | 0.936692 | − | 0.0138671i | ||||
\(95\) | −5.00319e6 | −0.598707 | ||||||||
\(96\) | −1.39367e6 | − | 8.55584e6i | −0.160772 | − | 0.986992i | ||||
\(97\) | 1.61896e7 | 1.80109 | 0.900543 | − | 0.434767i | \(-0.143169\pi\) | ||||
0.900543 | + | 0.434767i | \(0.143169\pi\) | |||||||
\(98\) | 6.10420e6 | − | 90368.8i | 0.655145 | − | 0.00969901i | ||||
\(99\) | −1.23538e7 | − | 8.64320e6i | −1.27960 | − | 0.895265i | ||||
\(100\) | −298264. | − | 1.00713e7i | −0.0298264 | − | 1.00713i | ||||
\(101\) | −1.82308e6 | + | 1.82308e6i | −0.176068 | + | 0.176068i | −0.789639 | − | 0.613571i | \(-0.789732\pi\) |
0.613571 | + | 0.789639i | \(0.289732\pi\) | |||||||
\(102\) | −9.31098e6 | + | 955470.i | −0.868750 | + | 0.0891490i | ||||
\(103\) | −2.05952e7 | −1.85710 | −0.928552 | − | 0.371202i | \(-0.878946\pi\) | ||||
−0.928552 | + | 0.371202i | \(0.878946\pi\) | |||||||
\(104\) | 9.14450e6 | − | 9.99504e6i | 0.797156 | − | 0.871301i | ||||
\(105\) | 7.56126e6 | + | 6.34221e6i | 0.637429 | + | 0.534660i | ||||
\(106\) | −9.12831e6 | + | 9.40265e6i | −0.744424 | + | 0.766796i | ||||
\(107\) | −2.03080e6 | − | 2.03080e6i | −0.160259 | − | 0.160259i | 0.622422 | − | 0.782682i | \(-0.286149\pi\) |
−0.782682 | + | 0.622422i | \(0.786149\pi\) | |||||||
\(108\) | −3.76826e6 | − | 1.25372e7i | −0.287845 | − | 0.957677i | ||||
\(109\) | −3.58451e6 | + | 3.58451e6i | −0.265117 | + | 0.265117i | −0.827129 | − | 0.562012i | \(-0.810027\pi\) |
0.562012 | + | 0.827129i | \(0.310027\pi\) | |||||||
\(110\) | 3.08858e7 | − | 457244.i | 2.21250 | − | 0.0327547i | ||||
\(111\) | −9.64879e6 | + | 1.15034e7i | −0.669642 | + | 0.798356i | ||||
\(112\) | −8.71514e6 | + | 516655.i | −0.586153 | + | 0.0347486i | ||||
\(113\) | 2.25513e7i | 1.47027i | 0.677920 | + | 0.735136i | \(0.262881\pi\) | ||||
−0.677920 | + | 0.735136i | \(0.737119\pi\) | |||||||
\(114\) | 4.21924e6 | − | 5.18419e6i | 0.266727 | − | 0.327729i | ||||
\(115\) | 1.21469e7 | + | 1.21469e7i | 0.744772 | + | 0.744772i | ||||
\(116\) | −8.23185e6 | − | 7.75830e6i | −0.489660 | − | 0.461492i | ||||
\(117\) | 1.17283e7 | − | 1.67633e7i | 0.676993 | − | 0.967628i | ||||
\(118\) | −7.17241e6 | − | 6.96314e6i | −0.401863 | − | 0.390138i | ||||
\(119\) | 9.42664e6i | 0.512794i | ||||||||
\(120\) | 2.12941e7 | + | 1.63068e7i | 1.12493 | + | 0.861460i | ||||
\(121\) | 2.80398e7i | 1.43889i | ||||||||
\(122\) | 2.33222e7 | − | 2.40232e7i | 1.16282 | − | 1.19776i | ||||
\(123\) | 2.64025e6 | + | 3.01124e7i | 0.127931 | + | 1.45907i | ||||
\(124\) | −555971. | − | 1.87732e7i | −0.0261864 | − | 0.884222i | ||||
\(125\) | 165661. | + | 165661.i | 0.00758639 | + | 0.00758639i | ||||
\(126\) | −1.29481e7 | + | 2.48637e6i | −0.576647 | + | 0.110731i | ||||
\(127\) | − | 2.75160e7i | − | 1.19199i | −0.802989 | − | 0.595994i | \(-0.796758\pi\) | ||
0.802989 | − | 0.595994i | \(-0.203242\pi\) | |||||||
\(128\) | −2.35993e7 | + | 2.45422e6i | −0.994636 | + | 0.103438i | ||||
\(129\) | −2.72570e6 | − | 2.28625e6i | −0.111793 | − | 0.0937693i | ||||
\(130\) | 620452. | + | 4.19100e7i | 0.0247689 | + | 1.67308i | ||||
\(131\) | 1.01111e7 | − | 1.01111e7i | 0.392959 | − | 0.392959i | −0.482781 | − | 0.875741i | \(-0.660373\pi\) |
0.875741 | + | 0.482781i | \(0.160373\pi\) | |||||||
\(132\) | −2.55724e7 | + | 3.23887e7i | −0.967751 | + | 1.22570i | ||||
\(133\) | −4.76012e6 | − | 4.76012e6i | −0.175443 | − | 0.175443i | ||||
\(134\) | 2.43752e7 | + | 2.36640e7i | 0.875149 | + | 0.849615i | ||||
\(135\) | 3.50895e7 | + | 2.02323e7i | 1.22746 | + | 0.707745i | ||||
\(136\) | 1.13735e6 | + | 2.55934e7i | 0.0387709 | + | 0.872451i | ||||
\(137\) | −1.96189e7 | −0.651857 | −0.325929 | − | 0.945394i | \(-0.605677\pi\) | ||||
−0.325929 | + | 0.945394i | \(0.605677\pi\) | |||||||
\(138\) | −2.28300e7 | + | 2.34275e6i | −0.739483 | + | 0.0758839i | ||||
\(139\) | 6.05704e6 | − | 6.05704e6i | 0.191297 | − | 0.191297i | −0.604959 | − | 0.796256i | \(-0.706811\pi\) |
0.796256 | + | 0.604959i | \(0.206811\pi\) | |||||||
\(140\) | 1.85266e7 | − | 1.96574e7i | 0.570620 | − | 0.605450i | ||||
\(141\) | −2.72363e6 | − | 3.10634e7i | −0.0818242 | − | 0.933214i | ||||
\(142\) | −603837. | − | 4.07877e7i | −0.0176974 | − | 1.19542i | ||||
\(143\) | −6.44912e7 | −1.84427 | ||||||||
\(144\) | −3.48542e7 | + | 8.31272e6i | −0.972718 | + | 0.231993i | ||||
\(145\) | 3.49984e7 | 0.953368 | ||||||||
\(146\) | 754741. | + | 5.09810e7i | 0.0200707 | + | 1.35573i | ||||
\(147\) | −2.20411e6 | − | 2.51381e7i | −0.0572298 | − | 0.652713i | ||||
\(148\) | 2.99060e7 | + | 2.81856e7i | 0.758303 | + | 0.714680i | ||||
\(149\) | 2.25230e7 | − | 2.25230e7i | 0.557794 | − | 0.557794i | −0.370885 | − | 0.928679i | \(-0.620945\pi\) |
0.928679 | + | 0.370885i | \(0.120945\pi\) | |||||||
\(150\) | −4.14306e7 | + | 4.25150e6i | −1.00231 | + | 0.102854i | ||||
\(151\) | −7.78963e6 | −0.184119 | −0.0920593 | − | 0.995754i | \(-0.529345\pi\) | ||||
−0.0920593 | + | 0.995754i | \(0.529345\pi\) | |||||||
\(152\) | −1.34981e7 | − | 1.23494e7i | −0.311759 | − | 0.285229i | ||||
\(153\) | 6.73277e6 | + | 3.80989e7i | 0.151976 | + | 0.859987i | ||||
\(154\) | 2.98202e7 | + | 2.89502e7i | 0.657944 | + | 0.638747i | ||||
\(155\) | 4.10897e7 | + | 4.10897e7i | 0.886283 | + | 0.886283i | ||||
\(156\) | −4.39495e7 | − | 3.47002e7i | −0.926867 | − | 0.731806i | ||||
\(157\) | 6.08153e6 | − | 6.08153e6i | 0.125419 | − | 0.125419i | −0.641611 | − | 0.767030i | \(-0.721734\pi\) |
0.767030 | + | 0.641611i | \(0.221734\pi\) | |||||||
\(158\) | −496933. | − | 3.35666e7i | −0.0100230 | − | 0.677030i | ||||
\(159\) | 4.15024e7 | + | 3.48112e7i | 0.818810 | + | 0.686799i | ||||
\(160\) | 4.79280e7 | − | 5.56052e7i | 0.925059 | − | 1.07324i | ||||
\(161\) | 2.31135e7i | 0.436492i | ||||||||
\(162\) | −5.05555e7 | + | 1.92969e7i | −0.934256 | + | 0.356602i | ||||
\(163\) | −5.47976e7 | − | 5.47976e7i | −0.991072 | − | 0.991072i | 0.00888868 | − | 0.999960i | \(-0.497171\pi\) |
−0.999960 | + | 0.00888868i | \(0.997171\pi\) | |||||||
\(164\) | 8.26996e7 | − | 2.44917e6i | 1.46403 | − | 0.0433576i | ||||
\(165\) | −1.11522e7 | − | 1.27193e8i | −0.193272 | − | 2.20429i | ||||
\(166\) | 7.75595e7 | − | 7.98904e7i | 1.31600 | − | 1.35555i | ||||
\(167\) | − | 6.22264e7i | − | 1.03387i | −0.856024 | − | 0.516937i | \(-0.827072\pi\) | ||
0.856024 | − | 0.516937i | \(-0.172928\pi\) | |||||||
\(168\) | 4.74493e6 | + | 3.57741e7i | 0.0772053 | + | 0.582085i | ||||
\(169\) | − | 2.47620e7i | − | 0.394622i | ||||||
\(170\) | −5.68717e7 | − | 5.52124e7i | −0.887820 | − | 0.861916i | ||||
\(171\) | −2.26384e7 | − | 1.58388e7i | −0.346225 | − | 0.242234i | ||||
\(172\) | −6.67851e6 | + | 7.08615e6i | −0.100076 | + | 0.106184i | ||||
\(173\) | −5.61944e7 | − | 5.61944e7i | −0.825147 | − | 0.825147i | 0.161694 | − | 0.986841i | \(-0.448304\pi\) |
−0.986841 | + | 0.161694i | \(0.948304\pi\) | |||||||
\(174\) | −2.95145e7 | + | 3.62646e7i | −0.424730 | + | 0.521868i | ||||
\(175\) | 4.19452e7i | 0.591629i | ||||||||
\(176\) | 8.44550e7 | + | 7.50020e7i | 1.16770 | + | 1.03700i | ||||
\(177\) | −2.65542e7 | + | 3.16583e7i | −0.359938 | + | 0.429123i | ||||
\(178\) | 3.01819e7 | − | 446824.i | 0.401122 | − | 0.00593836i | ||||
\(179\) | −504953. | + | 504953.i | −0.00658059 | + | 0.00658059i | −0.710389 | − | 0.703809i | \(-0.751481\pi\) |
0.703809 | + | 0.710389i | \(0.251481\pi\) | |||||||
\(180\) | 6.08374e7 | − | 9.26799e7i | 0.777530 | − | 1.18449i | ||||
\(181\) | −5.39182e7 | − | 5.39182e7i | −0.675866 | − | 0.675866i | 0.283196 | − | 0.959062i | \(-0.408605\pi\) |
−0.959062 | + | 0.283196i | \(0.908605\pi\) | |||||||
\(182\) | −3.92836e7 | + | 4.04642e7i | −0.483016 | + | 0.497532i | ||||
\(183\) | −1.06036e8 | − | 8.89404e7i | −1.27901 | − | 1.07280i | ||||
\(184\) | 2.78870e6 | + | 6.27533e7i | 0.0330019 | + | 0.742633i | ||||
\(185\) | −1.27148e8 | −1.47642 | ||||||||
\(186\) | −7.72276e7 | + | 7.92490e6i | −0.879988 | + | 0.0903022i | ||||
\(187\) | 8.62375e7 | − | 8.62375e7i | 0.964385 | − | 0.964385i | ||||
\(188\) | −8.53113e7 | + | 2.52651e6i | −0.936384 | + | 0.0277312i | ||||
\(189\) | 1.41354e7 | + | 5.26341e7i | 0.152297 | + | 0.567088i | ||||
\(190\) | 5.65985e7 | − | 837905.i | 0.598642 | − | 0.00886252i | ||||
\(191\) | −8.03957e7 | −0.834865 | −0.417432 | − | 0.908708i | \(-0.637070\pi\) | ||||
−0.417432 | + | 0.908708i | \(0.637070\pi\) | |||||||
\(192\) | 1.71987e7 | + | 9.65543e7i | 0.175365 | + | 0.984504i | ||||
\(193\) | 9.00026e7 | 0.901165 | 0.450583 | − | 0.892735i | \(-0.351216\pi\) | ||||
0.450583 | + | 0.892735i | \(0.351216\pi\) | |||||||
\(194\) | −1.83144e8 | + | 2.71133e6i | −1.80089 | + | 0.0266610i | ||||
\(195\) | 1.72593e8 | − | 1.51329e7i | 1.66687 | − | 0.146151i | ||||
\(196\) | −6.90384e7 | + | 2.04459e6i | −0.654930 | + | 0.0193959i | ||||
\(197\) | 3.98771e6 | − | 3.98771e6i | 0.0371614 | − | 0.0371614i | −0.688282 | − | 0.725443i | \(-0.741635\pi\) |
0.725443 | + | 0.688282i | \(0.241635\pi\) | |||||||
\(198\) | 1.41199e8 | + | 9.57070e7i | 1.29272 | + | 0.876225i | ||||
\(199\) | 6.89098e7 | 0.619863 | 0.309931 | − | 0.950759i | \(-0.399694\pi\) | ||||
0.309931 | + | 0.950759i | \(0.399694\pi\) | |||||||
\(200\) | 5.06078e6 | + | 1.13881e8i | 0.0447314 | + | 1.00658i | ||||
\(201\) | 9.02438e7 | − | 1.07590e8i | 0.783847 | − | 0.934513i | ||||
\(202\) | 2.03182e7 | − | 2.09288e7i | 0.173442 | − | 0.178655i | ||||
\(203\) | 3.32981e7 | + | 3.32981e7i | 0.279372 | + | 0.279372i | ||||
\(204\) | 1.05170e8 | − | 1.23681e7i | 0.867335 | − | 0.101999i | ||||
\(205\) | −1.81009e8 | + | 1.81009e8i | −1.46744 | + | 1.46744i | ||||
\(206\) | 2.32983e8 | − | 3.44916e6i | 1.85690 | − | 0.0274902i | ||||
\(207\) | 1.65083e7 | + | 9.34160e7i | 0.129362 | + | 0.732024i | ||||
\(208\) | −1.01773e8 | + | 1.14600e8i | −0.784171 | + | 0.883005i | ||||
\(209\) | 8.70937e7i | 0.659895i | ||||||||
\(210\) | −8.65987e7 | − | 7.04797e7i | −0.645274 | − | 0.525166i | ||||
\(211\) | −5.69316e6 | − | 5.69316e6i | −0.0417220 | − | 0.0417220i | 0.685938 | − | 0.727660i | \(-0.259392\pi\) |
−0.727660 | + | 0.685938i | \(0.759392\pi\) | |||||||
\(212\) | 1.01689e8 | − | 1.07896e8i | 0.732991 | − | 0.777732i | ||||
\(213\) | −1.67971e8 | + | 1.47277e7i | −1.19098 | + | 0.104425i | ||||
\(214\) | 2.33134e7 | + | 2.26332e7i | 0.162614 | + | 0.157870i | ||||
\(215\) | − | 3.01274e7i | − | 0.206741i | ||||||
\(216\) | 4.47280e7 | + | 1.41196e8i | 0.301989 | + | 0.953311i | ||||
\(217\) | 7.81869e7i | 0.519427i | ||||||||
\(218\) | 3.99494e7 | − | 4.11500e7i | 0.261163 | − | 0.269012i | ||||
\(219\) | 2.09948e8 | − | 1.84082e7i | 1.35070 | − | 0.118429i | ||||
\(220\) | −3.49318e8 | + | 1.03451e7i | −2.21178 | + | 0.0655022i | ||||
\(221\) | 1.17019e8 | + | 1.17019e8i | 0.729261 | + | 0.729261i | ||||
\(222\) | 1.07225e8 | − | 1.31748e8i | 0.657751 | − | 0.808181i | ||||
\(223\) | 2.49955e8i | 1.50937i | 0.656090 | + | 0.754683i | \(0.272209\pi\) | ||||
−0.656090 | + | 0.754683i | \(0.727791\pi\) | |||||||
\(224\) | 9.85032e7 | − | 7.30420e6i | 0.585575 | − | 0.0434215i | ||||
\(225\) | 2.99584e7 | + | 1.69526e8i | 0.175340 | + | 0.992198i | ||||
\(226\) | −3.77676e6 | − | 2.55111e8i | −0.0217641 | − | 1.47011i | ||||
\(227\) | 1.04949e7 | − | 1.04949e7i | 0.0595508 | − | 0.0595508i | −0.676704 | − | 0.736255i | \(-0.736592\pi\) |
0.736255 | + | 0.676704i | \(0.236592\pi\) | |||||||
\(228\) | −4.68618e7 | + | 5.93527e7i | −0.261847 | + | 0.331641i | ||||
\(229\) | 7.89367e6 | + | 7.89367e6i | 0.0434365 | + | 0.0434365i | 0.728491 | − | 0.685055i | \(-0.240222\pi\) |
−0.685055 | + | 0.728491i | \(0.740222\pi\) | |||||||
\(230\) | −1.39446e8 | − | 1.35377e8i | −0.755715 | − | 0.733666i | ||||
\(231\) | 1.10403e8 | − | 1.31624e8i | 0.589302 | − | 0.702574i | ||||
\(232\) | 9.44219e7 | + | 8.63869e7i | 0.496438 | + | 0.454193i | ||||
\(233\) | 3.34430e7 | 0.173205 | 0.0866024 | − | 0.996243i | \(-0.472399\pi\) | ||||
0.0866024 | + | 0.996243i | \(0.472399\pi\) | |||||||
\(234\) | −1.29868e8 | + | 1.91598e8i | −0.662595 | + | 0.977543i | ||||
\(235\) | 1.86725e8 | − | 1.86725e8i | 0.938566 | − | 0.938566i | ||||
\(236\) | 8.23038e7 | + | 7.75691e7i | 0.407594 | + | 0.384146i | ||||
\(237\) | −1.38233e8 | + | 1.21203e7i | −0.674516 | + | 0.0591415i | ||||
\(238\) | −1.57872e6 | − | 1.06639e8i | −0.00759076 | − | 0.512738i | ||||
\(239\) | −8.85576e7 | −0.419598 | −0.209799 | − | 0.977745i | \(-0.567281\pi\) | ||||
−0.209799 | + | 0.977745i | \(0.567281\pi\) | |||||||
\(240\) | −2.43619e8 | − | 1.80904e8i | −1.13755 | − | 0.844714i | ||||
\(241\) | −1.54329e8 | −0.710213 | −0.355106 | − | 0.934826i | \(-0.615555\pi\) | ||||
−0.355106 | + | 0.934826i | \(0.615555\pi\) | |||||||
\(242\) | −4.69594e6 | − | 3.17200e8i | −0.0212995 | − | 1.43873i | ||||
\(243\) | 9.47225e7 | + | 2.02631e8i | 0.423478 | + | 0.905906i | ||||
\(244\) | −2.59809e8 | + | 2.75667e8i | −1.14496 | + | 1.21484i | ||||
\(245\) | 1.51108e8 | − | 1.51108e8i | 0.656456 | − | 0.656456i | ||||
\(246\) | −3.49108e7 | − | 3.40203e8i | −0.149516 | − | 1.45702i | ||||
\(247\) | −1.18181e8 | −0.499008 | ||||||||
\(248\) | 9.43342e6 | + | 2.12278e8i | 0.0392725 | + | 0.883737i | ||||
\(249\) | −3.52629e8 | − | 2.95776e8i | −1.44750 | − | 1.21413i | ||||
\(250\) | −1.90178e6 | − | 1.84629e6i | −0.00769786 | − | 0.00747326i | ||||
\(251\) | 8.61580e7 | + | 8.61580e7i | 0.343904 | + | 0.343904i | 0.857833 | − | 0.513929i | \(-0.171810\pi\) |
−0.513929 | + | 0.857833i | \(0.671810\pi\) | |||||||
\(252\) | 1.46059e8 | − | 3.02954e7i | 0.574945 | − | 0.119255i | ||||
\(253\) | 2.11449e8 | − | 2.11449e8i | 0.820888 | − | 0.820888i | ||||
\(254\) | 4.60821e6 | + | 3.11274e8i | 0.0176447 | + | 1.19186i | ||||
\(255\) | −2.10555e8 | + | 2.51026e8i | −0.795196 | + | 0.948044i | ||||
\(256\) | 2.66555e8 | − | 3.17156e7i | 0.992996 | − | 0.118150i | ||||
\(257\) | 5.02122e8i | 1.84520i | 0.385757 | + | 0.922600i | \(0.373940\pi\) | ||||
−0.385757 | + | 0.922600i | \(0.626060\pi\) | |||||||
\(258\) | 3.12173e7 | + | 2.54067e7i | 0.113169 | + | 0.0921041i | ||||
\(259\) | −1.20971e8 | − | 1.20971e8i | −0.432645 | − | 0.432645i | ||||
\(260\) | −1.40377e7 | − | 4.74002e8i | −0.0495323 | − | 1.67253i | ||||
\(261\) | 1.58360e8 | + | 1.10796e8i | 0.551322 | + | 0.385728i | ||||
\(262\) | −1.12688e8 | + | 1.16075e8i | −0.387099 | + | 0.398733i | ||||
\(263\) | − | 1.32867e8i | − | 0.450372i | −0.974316 | − | 0.225186i | \(-0.927701\pi\) | ||
0.974316 | − | 0.225186i | \(-0.0722990\pi\) | |||||||
\(264\) | 2.83863e8 | − | 3.70679e8i | 0.949501 | − | 1.23989i | ||||
\(265\) | 4.58729e8i | 1.51424i | ||||||||
\(266\) | 5.46459e7 | + | 5.30515e7i | 0.178021 | + | 0.172827i | ||||
\(267\) | −1.08981e7 | − | 1.24294e8i | −0.0350398 | − | 0.399633i | ||||
\(268\) | −2.79707e8 | − | 2.63616e8i | −0.887629 | − | 0.836567i | ||||
\(269\) | −1.23584e8 | − | 1.23584e8i | −0.387107 | − | 0.387107i | 0.486547 | − | 0.873654i | \(-0.338256\pi\) |
−0.873654 | + | 0.486547i | \(0.838256\pi\) | |||||||
\(270\) | −4.00337e8 | − | 2.23001e8i | −1.23781 | − | 0.689498i | ||||
\(271\) | − | 3.65542e8i | − | 1.11569i | −0.829944 | − | 0.557847i | \(-0.811628\pi\) | ||
0.829944 | − | 0.557847i | \(-0.188372\pi\) | |||||||
\(272\) | −1.71524e7 | − | 2.89334e8i | −0.0516814 | − | 0.871782i | ||||
\(273\) | 1.78605e8 | + | 1.49810e8i | 0.531281 | + | 0.445626i | ||||
\(274\) | 2.21938e8 | − | 3.28565e6i | 0.651786 | − | 0.00964928i | ||||
\(275\) | 3.83726e8 | − | 3.83726e8i | 1.11265 | − | 1.11265i | ||||
\(276\) | 2.57871e8 | − | 3.03257e7i | 0.738279 | − | 0.0868220i | ||||
\(277\) | −2.90474e7 | − | 2.90474e7i | −0.0821160 | − | 0.0821160i | 0.664856 | − | 0.746972i | \(-0.268493\pi\) |
−0.746972 | + | 0.664856i | \(0.768493\pi\) | |||||||
\(278\) | −6.75057e7 | + | 6.95345e7i | −0.188444 | + | 0.194108i | ||||
\(279\) | 5.58432e7 | + | 3.16001e8i | 0.153942 | + | 0.871112i | ||||
\(280\) | −2.06289e8 | + | 2.25477e8i | −0.561596 | + | 0.613830i | ||||
\(281\) | −2.09107e7 | −0.0562208 | −0.0281104 | − | 0.999605i | \(-0.508949\pi\) | ||||
−0.0281104 | + | 0.999605i | \(0.508949\pi\) | |||||||
\(282\) | 3.60133e7 | + | 3.50947e8i | 0.0956294 | + | 0.931901i | ||||
\(283\) | −2.12104e8 | + | 2.12104e8i | −0.556284 | + | 0.556284i | −0.928247 | − | 0.371964i | \(-0.878685\pi\) |
0.371964 | + | 0.928247i | \(0.378685\pi\) | |||||||
\(284\) | 1.36618e7 | + | 4.61309e8i | 0.0353910 | + | 1.19503i | ||||
\(285\) | −2.04366e7 | − | 2.33082e8i | −0.0522940 | − | 0.596419i | ||||
\(286\) | 7.29554e8 | − | 1.08006e7i | 1.84407 | − | 0.0273002i | ||||
\(287\) | −3.44429e8 | −0.860029 | ||||||||
\(288\) | 3.92895e8 | − | 9.98745e7i | 0.969177 | − | 0.246366i | ||||
\(289\) | 9.73838e7 | 0.237325 | ||||||||
\(290\) | −3.95919e8 | + | 5.86133e6i | −0.953264 | + | 0.0141125i | ||||
\(291\) | 6.61298e7 | + | 7.54218e8i | 0.157316 | + | 1.79420i | ||||
\(292\) | −1.70760e7 | − | 5.76594e8i | −0.0401371 | − | 1.35528i | ||||
\(293\) | −2.92417e8 | + | 2.92417e8i | −0.679151 | + | 0.679151i | −0.959808 | − | 0.280657i | \(-0.909448\pi\) |
0.280657 | + | 0.959808i | \(0.409448\pi\) | |||||||
\(294\) | 2.91439e7 | + | 2.84005e8i | 0.0668855 | + | 0.651794i | ||||
\(295\) | −3.49922e8 | −0.793586 | ||||||||
\(296\) | −3.43032e8 | − | 3.13841e8i | −0.768799 | − | 0.703377i | ||||
\(297\) | 3.52196e8 | − | 6.10825e8i | 0.780076 | − | 1.35291i | ||||
\(298\) | −2.51019e8 | + | 2.58563e8i | −0.549476 | + | 0.565990i | ||||
\(299\) | 2.86923e8 | + | 2.86923e8i | 0.620749 | + | 0.620749i | ||||
\(300\) | 4.67970e8 | − | 5.50335e7i | 1.00068 | − | 0.117680i | ||||
\(301\) | 2.86637e7 | − | 2.86637e7i | 0.0605828 | − | 0.0605828i | ||||
\(302\) | 8.81200e7 | − | 1.30456e6i | 0.184098 | − | 0.00272546i | ||||
\(303\) | −9.23779e7 | − | 7.74843e7i | −0.190774 | − | 0.160016i | ||||
\(304\) | 1.54765e8 | + | 1.37442e8i | 0.315947 | + | 0.280583i | ||||
\(305\) | − | 1.17202e9i | − | 2.36530i | ||||||
\(306\) | −8.25448e7 | − | 4.29865e8i | −0.164689 | − | 0.857643i | ||||
\(307\) | −4.09109e8 | − | 4.09109e8i | −0.806965 | − | 0.806965i | 0.177208 | − | 0.984173i | \(-0.443293\pi\) |
−0.984173 | + | 0.177208i | \(0.943293\pi\) | |||||||
\(308\) | −3.42189e8 | − | 3.22504e8i | −0.667327 | − | 0.628938i | ||||
\(309\) | −8.41256e7 | − | 9.59462e8i | −0.162208 | − | 1.85001i | ||||
\(310\) | −4.71708e8 | − | 4.57945e8i | −0.899305 | − | 0.873066i | ||||
\(311\) | 5.56969e8i | 1.04995i | 0.851117 | + | 0.524977i | \(0.175926\pi\) | ||||
−0.851117 | + | 0.524977i | \(0.824074\pi\) | |||||||
\(312\) | 5.02988e8 | + | 3.85185e8i | 0.937598 | + | 0.718006i | ||||
\(313\) | 9.34283e8i | 1.72216i | 0.508470 | + | 0.861080i | \(0.330211\pi\) | ||||
−0.508470 | + | 0.861080i | \(0.669789\pi\) | |||||||
\(314\) | −6.77786e7 | + | 6.98156e7i | −0.123549 | + | 0.127262i | ||||
\(315\) | −2.64577e8 | + | 3.78160e8i | −0.476941 | + | 0.681693i | ||||
\(316\) | 1.12431e7 | + | 3.79638e8i | 0.0200438 | + | 0.676807i | ||||
\(317\) | 6.98044e7 | + | 6.98044e7i | 0.123077 | + | 0.123077i | 0.765962 | − | 0.642886i | \(-0.222263\pi\) |
−0.642886 | + | 0.765962i | \(0.722263\pi\) | |||||||
\(318\) | −4.75325e8 | − | 3.86850e8i | −0.828887 | − | 0.674603i | ||||
\(319\) | − | 6.09240e8i | − | 1.05080i | ||||||
\(320\) | −5.32872e8 | + | 6.37059e8i | −0.909071 | + | 1.08681i | ||||
\(321\) | 8.63128e7 | − | 1.02903e8i | 0.145649 | − | 0.173645i | ||||
\(322\) | −3.87092e6 | − | 2.61471e8i | −0.00646128 | − | 0.436444i | ||||
\(323\) | 1.58031e8 | − | 1.58031e8i | 0.260936 | − | 0.260936i | ||||
\(324\) | 5.68676e8 | − | 2.26762e8i | 0.928875 | − | 0.370393i | ||||
\(325\) | 5.20692e8 | + | 5.20692e8i | 0.841375 | + | 0.841375i | ||||
\(326\) | 6.29074e8 | + | 6.10719e8i | 1.00563 | + | 0.976293i | ||||
\(327\) | −1.81632e8 | − | 1.52349e8i | −0.287260 | − | 0.240947i | ||||
\(328\) | −9.35126e8 | + | 4.15562e7i | −1.46323 | + | 0.0650245i | ||||
\(329\) | 3.55307e8 | 0.550069 | ||||||||
\(330\) | 1.47461e8 | + | 1.43700e9i | 0.225880 | + | 2.20119i | ||||
\(331\) | 1.83378e8 | − | 1.83378e8i | 0.277938 | − | 0.277938i | −0.554347 | − | 0.832286i | \(-0.687032\pi\) |
0.832286 | + | 0.554347i | \(0.187032\pi\) | |||||||
\(332\) | −8.64010e8 | + | 9.16747e8i | −1.29579 | + | 1.37488i | ||||
\(333\) | −5.75318e8 | − | 4.02517e8i | −0.853794 | − | 0.597350i | ||||
\(334\) | 1.04213e7 | + | 7.03935e8i | 0.0153042 | + | 1.03376i | ||||
\(335\) | 1.18920e9 | 1.72821 | ||||||||
\(336\) | −5.96681e7 | − | 4.03899e8i | −0.0858133 | − | 0.580878i | ||||
\(337\) | 5.23664e8 | 0.745330 | 0.372665 | − | 0.927966i | \(-0.378444\pi\) | ||||
0.372665 | + | 0.927966i | \(0.378444\pi\) | |||||||
\(338\) | 4.14699e6 | + | 2.80119e8i | 0.00584150 | + | 0.394579i | ||||
\(339\) | −1.05059e9 | + | 9.21157e7i | −1.46465 | + | 0.128421i | ||||
\(340\) | 6.52606e8 | + | 6.15064e8i | 0.900482 | + | 0.848680i | ||||
\(341\) | 7.15275e8 | − | 7.15275e8i | 0.976860 | − | 0.976860i | ||||
\(342\) | 2.58749e8 | + | 1.75384e8i | 0.349773 | + | 0.237082i | ||||
\(343\) | 7.26369e8 | 0.971914 | ||||||||
\(344\) | 7.43637e7 | − | 8.12803e7i | 0.0984932 | − | 0.107654i | ||||
\(345\) | −5.16267e8 | + | 6.15501e8i | −0.676874 | + | 0.806978i | ||||
\(346\) | 6.45108e8 | + | 6.26286e8i | 0.837271 | + | 0.812842i | ||||
\(347\) | −3.76993e8 | − | 3.76993e8i | −0.484373 | − | 0.484373i | 0.422152 | − | 0.906525i | \(-0.361275\pi\) |
−0.906525 | + | 0.422152i | \(0.861275\pi\) | |||||||
\(348\) | 3.27808e8 | − | 4.15185e8i | 0.416958 | − | 0.528098i | ||||
\(349\) | −2.64599e8 | + | 2.64599e8i | −0.333195 | + | 0.333195i | −0.853799 | − | 0.520603i | \(-0.825707\pi\) |
0.520603 | + | 0.853799i | \(0.325707\pi\) | |||||||
\(350\) | −7.02473e6 | − | 4.74504e8i | −0.00875773 | − | 0.591564i | ||||
\(351\) | 8.28851e8 | + | 4.77908e8i | 1.02306 | + | 0.589888i | ||||
\(352\) | −9.67955e8 | − | 8.34313e8i | −1.18292 | − | 1.01960i | ||||
\(353\) | − | 4.70363e8i | − | 0.569143i | −0.958655 | − | 0.284571i | \(-0.908149\pi\) | ||
0.958655 | − | 0.284571i | \(-0.0918513\pi\) | |||||||
\(354\) | 2.95092e8 | − | 3.62581e8i | 0.353546 | − | 0.434404i | ||||
\(355\) | −1.00969e9 | − | 1.00969e9i | −1.19781 | − | 1.19781i | ||||
\(356\) | −3.41357e8 | + | 1.01094e7i | −0.400990 | + | 0.0118754i | ||||
\(357\) | −4.39156e8 | + | 3.85051e7i | −0.510834 | + | 0.0447899i | ||||
\(358\) | 5.62770e6 | − | 5.79683e6i | 0.00648246 | − | 0.00667728i | ||||
\(359\) | − | 7.41464e8i | − | 0.845785i | −0.906180 | − | 0.422892i | \(-0.861015\pi\) | ||
0.906180 | − | 0.422892i | \(-0.138985\pi\) | |||||||
\(360\) | −6.72700e8 | + | 1.05863e9i | −0.759911 | + | 1.19587i | ||||
\(361\) | − | 7.34272e8i | − | 0.821451i | ||||||
\(362\) | 6.18978e8 | + | 6.00918e8i | 0.685796 | + | 0.665787i | ||||
\(363\) | −1.30628e9 | + | 1.14535e8i | −1.43339 | + | 0.125679i | ||||
\(364\) | 4.37618e8 | − | 4.64329e8i | 0.475598 | − | 0.504628i | ||||
\(365\) | 1.26202e9 | + | 1.26202e9i | 1.35844 | + | 1.35844i | ||||
\(366\) | 1.21442e9 | + | 9.88377e8i | 1.29475 | + | 1.05375i | ||||
\(367\) | 1.94756e8i | 0.205665i | 0.994699 | + | 0.102832i | \(0.0327905\pi\) | ||||
−0.994699 | + | 0.102832i | \(0.967209\pi\) | |||||||
\(368\) | −4.20566e7 | − | 7.09428e8i | −0.0439913 | − | 0.742064i | ||||
\(369\) | −1.39205e9 | + | 2.46001e8i | −1.44232 | + | 0.254885i | ||||
\(370\) | 1.43836e9 | − | 2.12940e7i | 1.47625 | − | 0.0218550i | ||||
\(371\) | −4.36442e8 | + | 4.36442e8i | −0.443730 | + | 0.443730i | ||||
\(372\) | 8.72307e8 | − | 1.02584e8i | 0.878555 | − | 0.103319i | ||||
\(373\) | 2.27250e8 | + | 2.27250e8i | 0.226737 | + | 0.226737i | 0.811328 | − | 0.584591i | \(-0.198745\pi\) |
−0.584591 | + | 0.811328i | \(0.698745\pi\) | |||||||
\(374\) | −9.61116e8 | + | 9.90001e8i | −0.950004 | + | 0.978555i | ||||
\(375\) | −7.04091e6 | + | 8.39426e6i | −0.00689476 | + | 0.00822003i | ||||
\(376\) | 9.64658e8 | − | 4.28685e7i | 0.935871 | − | 0.0415893i | ||||
\(377\) | 8.26700e8 | 0.794609 | ||||||||
\(378\) | −1.68721e8 | − | 5.93054e8i | −0.160675 | − | 0.564772i | ||||
\(379\) | −9.77044e8 | + | 9.77044e8i | −0.921885 | + | 0.921885i | −0.997163 | − | 0.0752772i | \(-0.976016\pi\) |
0.0752772 | + | 0.997163i | \(0.476016\pi\) | |||||||
\(380\) | −6.40128e8 | + | 1.89575e7i | −0.598445 | + | 0.0177231i | ||||
\(381\) | 1.28188e9 | − | 1.12395e8i | 1.18743 | − | 0.104114i | ||||
\(382\) | 9.09474e8 | − | 1.34642e7i | 0.834773 | − | 0.0123583i | ||||
\(383\) | −1.39271e9 | −1.26667 | −0.633336 | − | 0.773877i | \(-0.718315\pi\) | ||||
−0.633336 | + | 0.773877i | \(0.718315\pi\) | |||||||
\(384\) | −2.10730e8 | − | 1.08939e9i | −0.189919 | − | 0.981800i | ||||
\(385\) | 1.45485e9 | 1.29929 | ||||||||
\(386\) | −1.01815e9 | + | 1.50731e7i | −0.901066 | + | 0.0133397i | ||||
\(387\) | 9.53752e7 | − | 1.36320e8i | 0.0836463 | − | 0.119556i | ||||
\(388\) | 2.07136e9 | − | 6.13437e7i | 1.80030 | − | 0.0533162i | ||||
\(389\) | −9.65687e8 | + | 9.65687e8i | −0.831788 | + | 0.831788i | −0.987761 | − | 0.155973i | \(-0.950149\pi\) |
0.155973 | + | 0.987761i | \(0.450149\pi\) | |||||||
\(390\) | −1.94991e9 | + | 2.00095e8i | −1.66452 | + | 0.170809i | ||||
\(391\) | −7.67346e8 | −0.649191 | ||||||||
\(392\) | 7.80653e8 | − | 3.46915e7i | 0.654571 | − | 0.0290885i | ||||
\(393\) | 5.12342e8 | + | 4.29740e8i | 0.425781 | + | 0.357135i | ||||
\(394\) | −4.44430e7 | + | 4.57787e7i | −0.0366072 | + | 0.0377074i | ||||
\(395\) | −8.30932e8 | − | 8.30932e8i | −0.678384 | − | 0.678384i | ||||
\(396\) | −1.61334e9 | − | 1.05904e9i | −1.30555 | − | 0.856993i | ||||
\(397\) | −3.86610e8 | + | 3.86610e8i | −0.310103 | + | 0.310103i | −0.844949 | − | 0.534846i | \(-0.820369\pi\) |
0.534846 | + | 0.844949i | \(0.320369\pi\) | |||||||
\(398\) | −7.79540e8 | + | 1.15406e7i | −0.619795 | + | 0.00917567i | ||||
\(399\) | 2.02314e8 | − | 2.41202e8i | 0.159449 | − | 0.190097i | ||||
\(400\) | −7.63221e7 | − | 1.28743e9i | −0.0596267 | − | 1.00581i | ||||
\(401\) | − | 2.36223e9i | − | 1.82944i | −0.404090 | − | 0.914719i | \(-0.632412\pi\) | ||
0.404090 | − | 0.914719i | \(-0.367588\pi\) | |||||||
\(402\) | −1.00286e9 | + | 1.23222e9i | −0.769928 | + | 0.946013i | ||||
\(403\) | 9.70583e8 | + | 9.70583e8i | 0.738695 | + | 0.738695i | ||||
\(404\) | −2.26344e8 | + | 2.40160e8i | −0.170779 | + | 0.181203i | ||||
\(405\) | −7.99224e8 | + | 1.71734e9i | −0.597828 | + | 1.28459i | ||||
\(406\) | −3.82260e8 | − | 3.71107e8i | −0.283477 | − | 0.275206i | ||||
\(407\) | 2.21335e9i | 1.62731i | ||||||||
\(408\) | −1.18766e9 | + | 1.57527e8i | −0.865731 | + | 0.114827i | ||||
\(409\) | − | 1.57545e9i | − | 1.13861i | −0.822127 | − | 0.569304i | \(-0.807213\pi\) | ||
0.822127 | − | 0.569304i | \(-0.192787\pi\) | |||||||
\(410\) | 2.01734e9 | − | 2.07797e9i | 1.44556 | − | 1.48900i | ||||
\(411\) | −8.01376e7 | − | 9.13978e8i | −0.0569364 | − | 0.649366i | ||||
\(412\) | −2.63503e9 | + | 7.80371e7i | −1.85629 | + | 0.0549745i | ||||
\(413\) | −3.32921e8 | − | 3.32921e8i | −0.232550 | − | 0.232550i | ||||
\(414\) | −2.02395e8 | − | 1.05400e9i | −0.140184 | − | 0.730029i | ||||
\(415\) | − | 3.89763e9i | − | 2.67690i | ||||||
\(416\) | 1.13211e9 | − | 1.31345e9i | 0.771014 | − | 0.894516i | ||||
\(417\) | 3.06918e8 | + | 2.57436e8i | 0.207275 | + | 0.173857i | ||||
\(418\) | −1.45859e7 | − | 9.85245e8i | −0.00976826 | − | 0.659823i | ||||
\(419\) | 8.92222e8 | − | 8.92222e8i | 0.592549 | − | 0.592549i | −0.345771 | − | 0.938319i | \(-0.612382\pi\) |
0.938319 | + | 0.345771i | \(0.112382\pi\) | |||||||
\(420\) | 9.91449e8 | + | 7.82797e8i | 0.652977 | + | 0.515557i | ||||
\(421\) | 2.06046e9 | + | 2.06046e9i | 1.34579 | + | 1.34579i | 0.890183 | + | 0.455603i | \(0.150576\pi\) |
0.455603 | + | 0.890183i | \(0.349424\pi\) | |||||||
\(422\) | 6.53572e7 | + | 6.34503e7i | 0.0423350 | + | 0.0410998i | ||||
\(423\) | 1.43601e9 | − | 2.53770e8i | 0.922501 | − | 0.163023i | ||||
\(424\) | −1.13228e9 | + | 1.23760e9i | −0.721398 | + | 0.788497i | ||||
\(425\) | −1.39254e9 | −0.879925 | ||||||||
\(426\) | 1.89770e9 | − | 1.94737e8i | 1.18931 | − | 0.122044i | ||||
\(427\) | 1.11508e9 | − | 1.11508e9i | 0.693121 | − | 0.693121i | ||||
\(428\) | −2.67523e8 | − | 2.52133e8i | −0.164933 | − | 0.155445i | ||||
\(429\) | −2.63428e8 | − | 3.00443e9i | −0.161087 | − | 1.83722i | ||||
\(430\) | 5.04555e6 | + | 3.40815e8i | 0.00306034 | + | 0.206718i | ||||
\(431\) | 1.08406e9 | 0.652204 | 0.326102 | − | 0.945335i | \(-0.394265\pi\) | ||||
0.326102 | + | 0.945335i | \(0.394265\pi\) | |||||||
\(432\) | −5.29631e8 | − | 1.58979e9i | −0.316068 | − | 0.948737i | ||||
\(433\) | −3.10584e9 | −1.83853 | −0.919265 | − | 0.393639i | \(-0.871216\pi\) | ||||
−0.919265 | + | 0.393639i | \(0.871216\pi\) | |||||||
\(434\) | −1.30943e7 | − | 8.84487e8i | −0.00768895 | − | 0.519370i | ||||
\(435\) | 1.42959e8 | + | 1.63046e9i | 0.0832718 | + | 0.949725i | ||||
\(436\) | −4.45035e8 | + | 4.72199e8i | −0.257153 | + | 0.272849i | ||||
\(437\) | 3.87482e8 | − | 3.87482e8i | 0.222109 | − | 0.222109i | ||||
\(438\) | −2.37195e9 | + | 2.43404e8i | −1.34880 | + | 0.138410i | ||||
\(439\) | −1.07461e9 | −0.606212 | −0.303106 | − | 0.952957i | \(-0.598024\pi\) | ||||
−0.303106 | + | 0.952957i | \(0.598024\pi\) | |||||||
\(440\) | 3.94991e9 | − | 1.75530e8i | 2.21056 | − | 0.0982354i | ||||
\(441\) | 1.16210e9 | − | 2.05364e8i | 0.645219 | − | 0.114022i | ||||
\(442\) | −1.34337e9 | − | 1.30417e9i | −0.739976 | − | 0.718386i | ||||
\(443\) | 2.15347e9 | + | 2.15347e9i | 1.17686 | + | 1.17686i | 0.980539 | + | 0.196323i | \(0.0629002\pi\) |
0.196323 | + | 0.980539i | \(0.437100\pi\) | |||||||
\(444\) | −1.19092e9 | + | 1.50835e9i | −0.645715 | + | 0.817829i | ||||
\(445\) | 7.47145e8 | − | 7.47145e8i | 0.401925 | − | 0.401925i | ||||
\(446\) | −4.18609e7 | − | 2.82761e9i | −0.0223428 | − | 1.50920i | ||||
\(447\) | 1.14127e9 | + | 9.57270e8i | 0.604383 | + | 0.506942i | ||||
\(448\) | −1.11309e9 | + | 9.91253e7i | −0.584868 | + | 0.0520849i | ||||
\(449\) | 6.24414e8i | 0.325544i | 0.986664 | + | 0.162772i | \(0.0520435\pi\) | ||||
−0.986664 | + | 0.162772i | \(0.947956\pi\) | |||||||
\(450\) | −3.67295e8 | − | 1.91274e9i | −0.190008 | − | 0.989494i | ||||
\(451\) | 3.15093e9 | + | 3.15093e9i | 1.61741 | + | 1.61741i | ||||
\(452\) | 8.54489e7 | + | 2.88530e9i | 0.0435233 | + | 1.46963i | ||||
\(453\) | −3.18184e7 | − | 3.62893e8i | −0.0160818 | − | 0.183415i | ||||
\(454\) | −1.16966e8 | + | 1.20481e8i | −0.0586628 | + | 0.0604258i | ||||
\(455\) | 1.97414e9i | 0.982510i | ||||||||
\(456\) | 5.20182e8 | − | 6.79273e8i | 0.256909 | − | 0.335481i | ||||
\(457\) | 4.78471e8i | 0.234503i | 0.993102 | + | 0.117252i | \(0.0374084\pi\) | ||||
−0.993102 | + | 0.117252i | \(0.962592\pi\) | |||||||
\(458\) | −9.06189e7 | − | 8.79749e7i | −0.0440747 | − | 0.0427888i | ||||
\(459\) | −1.74740e9 | + | 4.69280e8i | −0.843426 | + | 0.226510i | ||||
\(460\) | 1.60015e9 | + | 1.50810e9i | 0.766493 | + | 0.722399i | ||||
\(461\) | 1.57702e8 | + | 1.57702e8i | 0.0749696 | + | 0.0749696i | 0.743597 | − | 0.668628i | \(-0.233118\pi\) |
−0.668628 | + | 0.743597i | \(0.733118\pi\) | |||||||
\(462\) | −1.22688e9 | + | 1.50748e9i | −0.578838 | + | 0.711220i | ||||
\(463\) | 1.92607e9i | 0.901860i | 0.892559 | + | 0.450930i | \(0.148908\pi\) | ||||
−0.892559 | + | 0.450930i | \(0.851092\pi\) | |||||||
\(464\) | −1.08261e9 | − | 9.61436e8i | −0.503107 | − | 0.446794i | ||||
\(465\) | −1.74639e9 | + | 2.08207e9i | −0.805483 | + | 0.960308i | ||||
\(466\) | −3.78323e8 | + | 5.60083e6i | −0.173186 | + | 0.00256391i | ||||
\(467\) | −1.93250e9 | + | 1.93250e9i | −0.878031 | + | 0.878031i | −0.993331 | − | 0.115300i | \(-0.963217\pi\) |
0.115300 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(468\) | 1.43705e9 | − | 2.18920e9i | 0.648052 | − | 0.987244i | ||||
\(469\) | 1.13142e9 | + | 1.13142e9i | 0.506431 | + | 0.506431i | ||||
\(470\) | −2.08105e9 | + | 2.14359e9i | −0.924570 | + | 0.952357i | ||||
\(471\) | 3.08159e8 | + | 2.58477e8i | 0.135895 | + | 0.113985i | ||||
\(472\) | −9.44050e8 | − | 8.63714e8i | −0.413236 | − | 0.378071i | ||||
\(473\) | −5.24446e8 | −0.227870 | ||||||||
\(474\) | 1.56173e9 | − | 1.60260e8i | 0.673567 | − | 0.0691197i | ||||
\(475\) | 7.03182e8 | − | 7.03182e8i | 0.301051 | − | 0.301051i | ||||
\(476\) | 3.57184e7 | + | 1.20608e9i | 0.0151799 | + | 0.512569i | ||||
\(477\) | −1.45221e9 | + | 2.07565e9i | −0.612655 | + | 0.875669i | ||||
\(478\) | 1.00180e9 | − | 1.48311e7i | 0.419552 | − | 0.00621120i | ||||
\(479\) | −1.79615e9 | −0.746738 | −0.373369 | − | 0.927683i | \(-0.621797\pi\) | ||||
−0.373369 | + | 0.927683i | \(0.621797\pi\) | |||||||
\(480\) | 2.78623e9 | + | 2.00567e9i | 1.14993 | + | 0.827782i | ||||
\(481\) | −3.00337e9 | −1.23056 | ||||||||
\(482\) | 1.74584e9 | − | 2.58461e7i | 0.710135 | − | 0.0105131i | ||||
\(483\) | −1.07678e9 | + | 9.44122e7i | −0.434824 | + | 0.0381253i | ||||
\(484\) | 1.06245e8 | + | 3.58753e9i | 0.0425943 | + | 1.43826i | ||||
\(485\) | −4.53368e9 | + | 4.53368e9i | −1.80449 | + | 1.80449i | ||||
\(486\) | −1.10548e9 | − | 2.27639e9i | −0.436842 | − | 0.899538i | ||||
\(487\) | 3.50227e8 | 0.137404 | 0.0687018 | − | 0.997637i | \(-0.478114\pi\) | ||||
0.0687018 | + | 0.997637i | \(0.478114\pi\) | |||||||
\(488\) | 2.89291e9 | − | 3.16199e9i | 1.12685 | − | 1.23166i | ||||
\(489\) | 2.32900e9 | − | 2.77667e9i | 0.900719 | − | 1.07385i | ||||
\(490\) | −1.68410e9 | + | 1.73471e9i | −0.646667 | + | 0.666101i | ||||
\(491\) | −2.16242e9 | − | 2.16242e9i | −0.824433 | − | 0.824433i | 0.162307 | − | 0.986740i | \(-0.448107\pi\) |
−0.986740 | + | 0.162307i | \(0.948107\pi\) | |||||||
\(492\) | 4.51903e8 | + | 3.84269e9i | 0.171067 | + | 1.45465i | ||||
\(493\) | −1.10546e9 | + | 1.10546e9i | −0.415508 | + | 0.415508i | ||||
\(494\) | 1.33692e9 | − | 1.97922e7i | 0.498953 | − | 0.00738669i | ||||
\(495\) | 5.87993e9 | − | 1.03909e9i | 2.17898 | − | 0.385066i | ||||
\(496\) | −1.42266e8 | − | 2.39980e9i | −0.0523499 | − | 0.883059i | ||||
\(497\) | − | 1.92127e9i | − | 0.702007i | ||||||
\(498\) | 4.03863e9 | + | 3.28691e9i | 1.46532 | + | 1.19257i | ||||
\(499\) | −1.89630e8 | − | 1.89630e8i | −0.0683213 | − | 0.0683213i | 0.672121 | − | 0.740442i | \(-0.265384\pi\) |
−0.740442 | + | 0.672121i | \(0.765384\pi\) | |||||||
\(500\) | 2.18230e7 | + | 2.05676e7i | 0.00780764 | + | 0.00735849i | ||||
\(501\) | 2.89892e9 | − | 2.54177e8i | 1.02992 | − | 0.0903035i | ||||
\(502\) | −9.89089e8 | − | 9.60230e8i | −0.348957 | − | 0.338776i | ||||
\(503\) | − | 4.17355e9i | − | 1.46224i | −0.682251 | − | 0.731118i | \(-0.738999\pi\) | ||
0.682251 | − | 0.731118i | \(-0.261001\pi\) | |||||||
\(504\) | −1.64721e9 | + | 3.67177e8i | −0.573117 | + | 0.127752i | ||||
\(505\) | − | 1.02106e9i | − | 0.352802i | ||||||
\(506\) | −2.35660e9 | + | 2.42742e9i | −0.808646 | + | 0.832949i | ||||
\(507\) | 1.15358e9 | − | 1.01146e8i | 0.393114 | − | 0.0344682i | ||||
\(508\) | −1.04260e8 | − | 3.52050e9i | −0.0352855 | − | 1.19147i | ||||
\(509\) | 3.30226e9 | + | 3.30226e9i | 1.10994 | + | 1.10994i | 0.993158 | + | 0.116781i | \(0.0372575\pi\) |
0.116781 | + | 0.993158i | \(0.462743\pi\) | |||||||
\(510\) | 2.33985e9 | − | 2.87499e9i | 0.781076 | − | 0.959711i | ||||
\(511\) | 2.40141e9i | 0.796148i | ||||||||
\(512\) | −3.01009e9 | + | 4.03422e8i | −0.991138 | + | 0.132836i | ||||
\(513\) | 6.45403e8 | − | 1.11934e9i | 0.211067 | − | 0.366060i | ||||
\(514\) | −8.40924e7 | − | 5.68024e9i | −0.0273140 | − | 1.84500i | ||||
\(515\) | 5.76743e9 | − | 5.76743e9i | 1.86062 | − | 1.86062i | ||||
\(516\) | −3.57400e8 | − | 2.82184e8i | −0.114520 | − | 0.0904188i | ||||
\(517\) | −3.25044e9 | − | 3.25044e9i | −1.03449 | − | 1.03449i | ||||
\(518\) | 1.38874e9 | + | 1.34822e9i | 0.439002 | + | 0.426193i | ||||
\(519\) | 2.38837e9 | − | 2.84744e9i | 0.749921 | − | 0.894066i | ||||
\(520\) | 2.38184e8 | + | 5.35978e9i | 0.0742849 | + | 1.67161i | ||||
\(521\) | −1.67425e9 | −0.518666 | −0.259333 | − | 0.965788i | \(-0.583503\pi\) | ||||
−0.259333 | + | 0.965788i | \(0.583503\pi\) | |||||||
\(522\) | −1.81000e9 | − | 1.22685e9i | −0.556971 | − | 0.377524i | ||||
\(523\) | −3.73056e9 | + | 3.73056e9i | −1.14030 | + | 1.14030i | −0.151903 | + | 0.988395i | \(0.548540\pi\) |
−0.988395 | + | 0.151903i | \(0.951460\pi\) | |||||||
\(524\) | 1.25534e9 | − | 1.33196e9i | 0.381155 | − | 0.404420i | ||||
\(525\) | −1.95409e9 | + | 1.71334e8i | −0.589368 | + | 0.0516757i | ||||
\(526\) | 2.22517e7 | + | 1.50305e9i | 0.00666674 | + | 0.450323i | ||||
\(527\) | −2.59572e9 | −0.772541 | ||||||||
\(528\) | −3.14911e9 | + | 4.24083e9i | −0.931043 | + | 1.25381i | ||||
\(529\) | 1.52334e9 | 0.447407 | ||||||||
\(530\) | −7.68252e7 | − | 5.18936e9i | −0.0224150 | − | 1.51408i | ||||
\(531\) | −1.58332e9 | − | 1.10776e9i | −0.458921 | − | 0.321081i | ||||
\(532\) | −6.27065e8 | − | 5.90992e8i | −0.180560 | − | 0.170173i | ||||
\(533\) | −4.27562e9 | + | 4.27562e9i | −1.22308 | + | 1.22308i | ||||
\(534\) | 1.44101e8 | + | 1.40425e9i | 0.0409516 | + | 0.399070i | ||||
\(535\) | 1.13740e9 | 0.321125 | ||||||||
\(536\) | 3.20833e9 | + | 2.93531e9i | 0.899916 | + | 0.823336i | ||||
\(537\) | −2.55866e7 | − | 2.14615e7i | −0.00713023 | − | 0.00598066i | ||||
\(538\) | 1.41874e9 | + | 1.37735e9i | 0.392795 | + | 0.381334i | ||||
\(539\) | −2.63043e9 | − | 2.63043e9i | −0.723545 | − | 0.723545i | ||||
\(540\) | 4.56615e9 | + | 2.45564e9i | 1.24788 | + | 0.671099i | ||||
\(541\) | 3.25585e8 | − | 3.25585e8i | 0.0884044 | − | 0.0884044i | −0.661522 | − | 0.749926i | \(-0.730089\pi\) |
0.749926 | + | 0.661522i | \(0.230089\pi\) | |||||||
\(542\) | 6.12188e7 | + | 4.13518e9i | 0.0165153 | + | 1.11557i | ||||
\(543\) | 2.29163e9 | − | 2.73211e9i | 0.614249 | − | 0.732316i | ||||
\(544\) | 2.42492e8 | + | 3.27021e9i | 0.0645805 | + | 0.870921i | ||||
\(545\) | − | 2.00759e9i | − | 0.531237i | ||||||
\(546\) | −2.04555e9 | − | 1.66481e9i | −0.537820 | − | 0.437713i | ||||
\(547\) | −1.62782e9 | − | 1.62782e9i | −0.425256 | − | 0.425256i | 0.461753 | − | 0.887009i | \(-0.347221\pi\) |
−0.887009 | + | 0.461753i | \(0.847221\pi\) | |||||||
\(548\) | −2.51012e9 | + | 7.43377e7i | −0.651572 | + | 0.0192964i | ||||
\(549\) | 3.71031e9 | − | 5.30315e9i | 0.956988 | − | 1.36783i | ||||
\(550\) | −4.27663e9 | + | 4.40515e9i | −1.09605 | + | 1.12899i | ||||
\(551\) | − | 1.11644e9i | − | 0.284318i | ||||||
\(552\) | −2.91208e9 | + | 3.86246e8i | −0.736913 | + | 0.0977410i | ||||
\(553\) | − | 1.58113e9i | − | 0.397584i | ||||||
\(554\) | 3.33462e8 | + | 3.23733e8i | 0.0833226 | + | 0.0808915i | ||||
\(555\) | −5.19364e8 | − | 5.92340e9i | −0.128957 | − | 1.47077i | ||||
\(556\) | 7.52010e8 | − | 7.97912e8i | 0.185550 | − | 0.196876i | ||||
\(557\) | 4.72376e9 | + | 4.72376e9i | 1.15823 | + | 1.15823i | 0.984856 | + | 0.173373i | \(0.0554665\pi\) |
0.173373 | + | 0.984856i | \(0.444534\pi\) | |||||||
\(558\) | −6.84647e8 | − | 3.56540e9i | −0.166820 | − | 0.868738i | ||||
\(559\) | − | 7.11641e8i | − | 0.172314i | ||||||
\(560\) | 2.29588e9 | − | 2.58525e9i | 0.552448 | − | 0.622076i | ||||
\(561\) | 4.36977e9 | + | 3.66526e9i | 1.04493 | + | 0.876465i | ||||
\(562\) | 2.36552e8 | − | 3.50200e6i | 0.0562146 | − | 0.000832222i | ||||
\(563\) | −1.05595e9 | + | 1.05595e9i | −0.249381 | + | 0.249381i | −0.820717 | − | 0.571335i | \(-0.806426\pi\) |
0.571335 | + | 0.820717i | \(0.306426\pi\) | |||||||
\(564\) | −4.66174e8 | − | 3.96405e9i | −0.109414 | − | 0.930383i | ||||
\(565\) | −6.31521e9 | − | 6.31521e9i | −1.47305 | − | 1.47305i | ||||
\(566\) | 2.36390e9 | − | 2.43494e9i | 0.547988 | − | 0.564457i | ||||
\(567\) | −2.39431e9 | + | 8.73515e8i | −0.551618 | + | 0.201247i | ||||
\(568\) | −2.31806e8 | − | 5.21626e9i | −0.0530768 | − | 1.19437i | ||||
\(569\) | −3.53716e9 | −0.804937 | −0.402469 | − | 0.915434i | \(-0.631848\pi\) | ||||
−0.402469 | + | 0.915434i | \(0.631848\pi\) | |||||||
\(570\) | 2.70224e8 | + | 2.63331e9i | 0.0611169 | + | 0.595580i | ||||
\(571\) | 1.10635e9 | − | 1.10635e9i | 0.248696 | − | 0.248696i | −0.571740 | − | 0.820435i | \(-0.693731\pi\) |
0.820435 | + | 0.571740i | \(0.193731\pi\) | |||||||
\(572\) | −8.25125e9 | + | 2.44363e8i | −1.84346 | + | 0.0545945i | ||||
\(573\) | −3.28393e8 | − | 3.74537e9i | −0.0729211 | − | 0.831674i | ||||
\(574\) | 3.89634e9 | − | 5.76829e7i | 0.859935 | − | 0.0127308i | ||||
\(575\) | −3.41442e9 | −0.748995 | ||||||||
\(576\) | −4.42789e9 | + | 1.19563e9i | −0.965424 | + | 0.260686i | ||||
\(577\) | −4.31286e9 | −0.934652 | −0.467326 | − | 0.884085i | \(-0.654782\pi\) | ||||
−0.467326 | + | 0.884085i | \(0.654782\pi\) | |||||||
\(578\) | −1.10165e9 | + | 1.63092e7i | −0.237299 | + | 0.00351307i | ||||
\(579\) | 3.67635e8 | + | 4.19292e9i | 0.0787121 | + | 0.897721i | ||||
\(580\) | 4.47784e9 | − | 1.32612e8i | 0.952950 | − | 0.0282218i | ||||
\(581\) | 3.70827e9 | − | 3.70827e9i | 0.784431 | − | 0.784431i | ||||
\(582\) | −8.74403e8 | − | 8.52099e9i | −0.183857 | − | 1.79168i | ||||
\(583\) | 7.98539e9 | 1.66900 | ||||||||
\(584\) | 2.89736e8 | + | 6.51985e9i | 0.0601946 | + | 1.35454i | ||||
\(585\) | 1.40998e9 | + | 7.97869e9i | 0.291184 | + | 1.64773i | ||||
\(586\) | 3.25899e9 | − | 3.35694e9i | 0.669024 | − | 0.689130i | ||||
\(587\) | 1.95206e9 | + | 1.95206e9i | 0.398345 | + | 0.398345i | 0.877649 | − | 0.479304i | \(-0.159111\pi\) |
−0.479304 | + | 0.877649i | \(0.659111\pi\) | |||||||
\(588\) | −3.77253e8 | − | 3.20792e9i | −0.0765265 | − | 0.650732i | ||||
\(589\) | 1.31075e9 | − | 1.31075e9i | 0.264311 | − | 0.264311i | ||||
\(590\) | 3.95848e9 | − | 5.86028e7i | 0.793499 | − | 0.0117472i | ||||
\(591\) | 2.02063e8 | + | 1.69485e8i | 0.0402652 | + | 0.0337735i | ||||
\(592\) | 3.93309e9 | + | 3.49286e9i | 0.779127 | + | 0.691920i | ||||
\(593\) | − | 4.52044e8i | − | 0.0890204i | −0.999009 | − | 0.0445102i | \(-0.985827\pi\) | ||
0.999009 | − | 0.0445102i | \(-0.0141727\pi\) | |||||||
\(594\) | −3.88191e9 | + | 6.96892e9i | −0.759964 | + | 1.36431i | ||||
\(595\) | −2.63981e9 | − | 2.63981e9i | −0.513764 | − | 0.513764i | ||||
\(596\) | 2.79634e9 | − | 2.96702e9i | 0.541038 | − | 0.574062i | ||||
\(597\) | 2.81477e8 | + | 3.21028e9i | 0.0541418 | + | 0.617493i | ||||
\(598\) | −3.29386e9 | − | 3.19776e9i | −0.629870 | − | 0.611492i | ||||
\(599\) | 5.87175e9i | 1.11628i | 0.829746 | + | 0.558141i | \(0.188485\pi\) | ||||
−0.829746 | + | 0.558141i | \(0.811515\pi\) | |||||||
\(600\) | −5.28468e9 | + | 7.00938e8i | −0.998825 | + | 0.132480i | ||||
\(601\) | 2.05570e9i | 0.386276i | 0.981172 | + | 0.193138i | \(0.0618666\pi\) | ||||
−0.981172 | + | 0.193138i | \(0.938133\pi\) | |||||||
\(602\) | −3.19457e8 | + | 3.29058e8i | −0.0596794 | + | 0.0614730i | ||||
\(603\) | 5.38087e9 | + | 3.76468e9i | 0.999406 | + | 0.699226i | ||||
\(604\) | −9.96636e8 | + | 2.95156e7i | −0.184038 | + | 0.00545032i | ||||
\(605\) | −7.85219e9 | − | 7.85219e9i | −1.44161 | − | 1.44161i | ||||
\(606\) | 1.05800e9 | + | 8.61068e8i | 0.193122 | + | 0.157175i | ||||
\(607\) | 5.45104e9i | 0.989278i | 0.869098 | + | 0.494639i | \(0.164700\pi\) | ||||
−0.869098 | + | 0.494639i | \(0.835300\pi\) | |||||||
\(608\) | −1.77379e9 | − | 1.52889e9i | −0.320066 | − | 0.275875i | ||||
\(609\) | −1.41523e9 | + | 1.68726e9i | −0.253903 | + | 0.302706i | ||||
\(610\) | 1.96283e8 | + | 1.32585e10i | 0.0350130 | + | 2.36504i | ||||
\(611\) | 4.41064e9 | − | 4.41064e9i | 0.782272 | − | 0.782272i | ||||
\(612\) | 1.00578e9 | + | 4.84901e9i | 0.177367 | + | 0.855112i | ||||
\(613\) | −2.12529e9 | − | 2.12529e9i | −0.372654 | − | 0.372654i | 0.495789 | − | 0.868443i | \(-0.334879\pi\) |
−0.868443 | + | 0.495789i | \(0.834879\pi\) | |||||||
\(614\) | 4.69655e9 | + | 4.55952e9i | 0.818822 | + | 0.794931i | ||||
\(615\) | −9.17195e9 | − | 7.69322e9i | −1.59001 | − | 1.33366i | ||||
\(616\) | 3.92501e9 | + | 3.59101e9i | 0.676564 | + | 0.618990i | ||||
\(617\) | 1.13540e8 | 0.0194604 | 0.00973020 | − | 0.999953i | \(-0.496903\pi\) | ||||
0.00973020 | + | 0.999953i | \(0.496903\pi\) | |||||||
\(618\) | 1.11235e9 | + | 1.08398e10i | 0.189576 | + | 1.84740i | ||||
\(619\) | −2.55765e9 | + | 2.55765e9i | −0.433435 | + | 0.433435i | −0.889795 | − | 0.456360i | \(-0.849153\pi\) |
0.456360 | + | 0.889795i | \(0.349153\pi\) | |||||||
\(620\) | 5.41287e9 | + | 5.10149e9i | 0.912130 | + | 0.859658i | ||||
\(621\) | −4.28451e9 | + | 1.15065e9i | −0.717927 | + | 0.192806i | ||||
\(622\) | −9.32779e7 | − | 6.30070e9i | −0.0155422 | − | 1.04984i | ||||
\(623\) | 1.42169e9 | 0.235558 | ||||||||
\(624\) | −5.75455e9 | − | 4.27315e9i | −0.948124 | − | 0.704048i | ||||
\(625\) | 6.05695e9 | 0.992371 | ||||||||
\(626\) | −1.56468e8 | − | 1.05691e10i | −0.0254927 | − | 1.72197i | ||||
\(627\) | −4.05740e9 | + | 3.55753e8i | −0.657373 | + | 0.0576384i | ||||
\(628\) | 7.55051e8 | − | 8.01138e8i | 0.121651 | − | 0.129077i | ||||
\(629\) | 4.01611e9 | − | 4.01611e9i | 0.643469 | − | 0.643469i | ||||
\(630\) | 2.92968e9 | − | 4.32223e9i | 0.466798 | − | 0.688678i | ||||
\(631\) | 2.74424e9 | 0.434830 | 0.217415 | − | 0.976079i | \(-0.430237\pi\) | ||||
0.217415 | + | 0.976079i | \(0.430237\pi\) | |||||||
\(632\) | −1.90766e8 | − | 4.29276e9i | −0.0300602 | − | 0.676436i | ||||
\(633\) | 2.41970e8 | − | 2.88480e8i | 0.0379183 | − | 0.0452067i | ||||
\(634\) | −8.01351e8 | − | 7.77970e8i | −0.124885 | − | 0.121241i | ||||
\(635\) | 7.70550e9 | + | 7.70550e9i | 1.19424 | + | 1.19424i | ||||
\(636\) | 5.44188e9 | + | 4.29663e9i | 0.838782 | + | 0.662259i | ||||
\(637\) | 3.56933e9 | − | 3.56933e9i | 0.547140 | − | 0.547140i | ||||
\(638\) | 1.02032e8 | + | 6.89201e9i | 0.0155548 | + | 1.05069i | ||||
\(639\) | −1.37223e9 | − | 7.76504e9i | −0.208052 | − | 1.17731i | ||||
\(640\) | 5.92141e9 | − | 7.29595e9i | 0.892884 | − | 1.10015i | ||||
\(641\) | − | 6.26005e9i | − | 0.938803i | −0.882985 | − | 0.469402i | \(-0.844470\pi\) | ||
0.882985 | − | 0.469402i | \(-0.155530\pi\) | |||||||
\(642\) | −9.59177e8 | + | 1.17855e9i | −0.143063 | + | 0.175782i | ||||
\(643\) | −1.01424e9 | − | 1.01424e9i | −0.150454 | − | 0.150454i | 0.627867 | − | 0.778321i | \(-0.283928\pi\) |
−0.778321 | + | 0.627867i | \(0.783928\pi\) | |||||||
\(644\) | 8.75793e7 | + | 2.95724e9i | 0.0129211 | + | 0.436300i | ||||
\(645\) | 1.40353e9 | − | 1.23062e8i | 0.205951 | − | 0.0180578i | ||||
\(646\) | −1.76126e9 | + | 1.81419e9i | −0.257045 | + | 0.264770i | ||||
\(647\) | 7.73864e9i | 1.12331i | 0.827371 | + | 0.561655i | \(0.189835\pi\) | ||||
−0.827371 | + | 0.561655i | \(0.810165\pi\) | |||||||
\(648\) | −6.39515e9 | + | 2.66047e9i | −0.923291 | + | 0.384102i | ||||
\(649\) | 6.09131e9i | 0.874690i | ||||||||
\(650\) | −5.97752e9 | − | 5.80311e9i | −0.853737 | − | 0.828828i | ||||
\(651\) | −3.64246e9 | + | 3.19371e8i | −0.517442 | + | 0.0453693i | ||||
\(652\) | −7.21866e9 | − | 6.80339e9i | −1.01998 | − | 0.961300i | ||||
\(653\) | 3.04674e9 | + | 3.04674e9i | 0.428193 | + | 0.428193i | 0.888013 | − | 0.459819i | \(-0.152086\pi\) |
−0.459819 | + | 0.888013i | \(0.652086\pi\) | |||||||
\(654\) | 2.08022e9 | + | 1.69302e9i | 0.290795 | + | 0.236668i | ||||
\(655\) | 5.66295e9i | 0.787405i | ||||||||
\(656\) | 1.05716e10 | − | 6.26712e8i | 1.46210 | − | 0.0866771i | ||||
\(657\) | 1.71516e9 | + | 9.70559e9i | 0.235953 | + | 1.33519i | ||||
\(658\) | −4.01939e9 | + | 5.95046e7i | −0.550009 | + | 0.00814254i | ||||
\(659\) | −8.50044e8 | + | 8.50044e8i | −0.115702 | + | 0.115702i | −0.762588 | − | 0.646885i | \(-0.776071\pi\) |
0.646885 | + | 0.762588i | \(0.276071\pi\) | |||||||
\(660\) | −1.90881e9 | − | 1.62313e10i | −0.258439 | − | 2.19760i | ||||
\(661\) | 7.19491e9 | + | 7.19491e9i | 0.968992 | + | 0.968992i | 0.999534 | − | 0.0305413i | \(-0.00972312\pi\) |
−0.0305413 | + | 0.999534i | \(0.509723\pi\) | |||||||
\(662\) | −2.04374e9 | + | 2.10517e9i | −0.273794 | + | 0.282022i | ||||
\(663\) | −4.97353e9 | + | 5.92951e9i | −0.662777 | + | 0.790171i | ||||
\(664\) | 9.62055e9 | − | 1.05154e10i | 1.27530 | − | 1.39392i | ||||
\(665\) | 2.66602e9 | 0.351551 | ||||||||
\(666\) | 6.57568e9 | + | 4.45711e9i | 0.862543 | + | 0.584646i | ||||
\(667\) | −2.71053e9 | + | 2.71053e9i | −0.353682 | + | 0.353682i | ||||
\(668\) | −2.35782e8 | − | 7.96149e9i | −0.0306050 | − | 1.03342i | ||||
\(669\) | −1.16446e10 | + | 1.02099e9i | −1.50360 | + | 0.131835i | ||||
\(670\) | −1.34528e10 | + | 1.99160e8i | −1.72803 | + | 0.0255823i | ||||
\(671\) | −2.04021e10 | −2.60703 | ||||||||
\(672\) | 7.42636e8 | + | 4.55910e9i | 0.0944025 | + | 0.579544i | ||||
\(673\) | 9.03391e9 | 1.14241 | 0.571206 | − | 0.820806i | \(-0.306476\pi\) | ||||
0.571206 | + | 0.820806i | \(0.306476\pi\) | |||||||
\(674\) | −5.92394e9 | + | 8.77002e7i | −0.745248 | + | 0.0110329i | ||||
\(675\) | −7.77529e9 | + | 2.08813e9i | −0.973091 | + | 0.261333i | ||||
\(676\) | −9.38253e7 | − | 3.16814e9i | −0.0116817 | − | 0.394449i | ||||
\(677\) | 8.12168e9 | − | 8.12168e9i | 1.00597 | − | 1.00597i | 0.00598859 | − | 0.999982i | \(-0.498094\pi\) |
0.999982 | − | 0.00598859i | \(-0.00190624\pi\) | |||||||
\(678\) | 1.18693e10 | − | 1.21800e9i | 1.46259 | − | 0.150087i | ||||
\(679\) | −8.62684e9 | −1.05757 | ||||||||
\(680\) | −7.48559e9 | − | 6.84859e9i | −0.912946 | − | 0.835257i | ||||
\(681\) | 5.31790e8 | + | 4.46053e8i | 0.0645247 | + | 0.0541217i | ||||
\(682\) | −7.97173e9 | + | 8.21131e9i | −0.962293 | + | 0.991213i | ||||
\(683\) | 7.13889e9 | + | 7.13889e9i | 0.857350 | + | 0.857350i | 0.991025 | − | 0.133675i | \(-0.0426778\pi\) |
−0.133675 | + | 0.991025i | \(0.542678\pi\) | |||||||
\(684\) | −2.95646e9 | − | 1.94069e9i | −0.353244 | − | 0.231879i | ||||
\(685\) | 5.49402e9 | − | 5.49402e9i | 0.653090 | − | 0.653090i | ||||
\(686\) | −8.21703e9 | + | 1.21648e8i | −0.971808 | + | 0.0143870i | ||||
\(687\) | −3.35496e8 | + | 3.99983e8i | −0.0394765 | + | 0.0470644i | ||||
\(688\) | −8.27624e8 | + | 9.31935e8i | −0.0968888 | + | 0.109100i | ||||
\(689\) | 1.08357e10i | 1.26208i | ||||||||
\(690\) | 5.73718e9 | − | 7.04929e9i | 0.664854 | − | 0.816909i | ||||
\(691\) | 7.92433e9 | + | 7.92433e9i | 0.913670 | + | 0.913670i | 0.996559 | − | 0.0828893i | \(-0.0264148\pi\) |
−0.0828893 | + | 0.996559i | \(0.526415\pi\) | |||||||
\(692\) | −7.40265e9 | − | 6.97680e9i | −0.849212 | − | 0.800359i | ||||
\(693\) | 6.58287e9 | + | 4.60565e9i | 0.751361 | + | 0.525684i | ||||
\(694\) | 4.32785e9 | + | 4.20158e9i | 0.491490 | + | 0.477150i | ||||
\(695\) | 3.39239e9i | 0.383318i | ||||||||
\(696\) | −3.63879e9 | + | 4.75167e9i | −0.409096 | + | 0.534212i | ||||
\(697\) | − | 1.14347e10i | − | 1.27912i | ||||||
\(698\) | 2.94895e9 | − | 3.03758e9i | 0.328227 | − | 0.338091i | ||||
\(699\) | 1.36605e8 | + | 1.55800e9i | 0.0151285 | + | 0.172543i | ||||
\(700\) | 1.58934e8 | + | 5.36663e9i | 0.0175135 | + | 0.591369i | ||||
\(701\) | 6.73311e9 | + | 6.73311e9i | 0.738248 | + | 0.738248i | 0.972239 | − | 0.233991i | \(-0.0751785\pi\) |
−0.233991 | + | 0.972239i | \(0.575179\pi\) | |||||||
\(702\) | −9.45639e9 | − | 5.26751e9i | −1.03168 | − | 0.574679i | ||||
\(703\) | 4.05598e9i | 0.440304i | ||||||||
\(704\) | 1.10897e10 | + | 9.27604e9i | 1.19788 | + | 1.00198i | ||||
\(705\) | 9.46161e9 | + | 7.93617e9i | 1.01696 | + | 0.853000i | ||||
\(706\) | 7.87735e7 | + | 5.32096e9i | 0.00842488 | + | 0.569081i | ||||
\(707\) | 9.71453e8 | − | 9.71453e8i | 0.103384 | − | 0.103384i | ||||
\(708\) | −3.27750e9 | + | 4.15110e9i | −0.347077 | + | 0.439589i | ||||
\(709\) | −2.91121e9 | − | 2.91121e9i | −0.306769 | − | 0.306769i | 0.536886 | − | 0.843655i | \(-0.319601\pi\) |
−0.843655 | + | 0.536886i | \(0.819601\pi\) | |||||||
\(710\) | 1.15912e10 | + | 1.12530e10i | 1.21541 | + | 1.17995i | ||||
\(711\) | −1.12928e9 | − | 6.39030e9i | −0.117831 | − | 0.666772i | ||||
\(712\) | 3.85990e9 | − | 1.71530e8i | 0.400771 | − | 0.0178099i | ||||
\(713\) | −6.36455e9 | −0.657589 | ||||||||
\(714\) | 4.96149e9 | − | 5.09135e8i | 0.510115 | − | 0.0523467i | ||||
\(715\) | 1.80599e10 | − | 1.80599e10i | 1.84776 | − | 1.84776i | ||||
\(716\) | −6.26923e7 | + | 6.65189e7i | −0.00638291 | + | 0.00677251i | ||||
\(717\) | −3.61732e8 | − | 4.12560e9i | −0.0366497 | − | 0.417994i | ||||
\(718\) | 1.24176e8 | + | 8.38779e9i | 0.0125199 | + | 0.845692i | ||||
\(719\) | −6.86830e9 | −0.689126 | −0.344563 | − | 0.938763i | \(-0.611973\pi\) | ||||
−0.344563 | + | 0.938763i | \(0.611973\pi\) | |||||||
\(720\) | 7.43261e9 | − | 1.20883e10i | 0.742126 | − | 1.20699i | ||||
\(721\) | 1.09745e10 | 1.09046 | ||||||||
\(722\) | 1.22971e8 | + | 8.30642e9i | 0.0121597 | + | 0.821361i | ||||
\(723\) | −6.30391e8 | − | 7.18968e9i | −0.0620334 | − | 0.707498i | ||||
\(724\) | −7.10281e9 | − | 6.69421e9i | −0.695577 | − | 0.655562i | ||||
\(725\) | −4.91891e9 | + | 4.91891e9i | −0.479387 | + | 0.479387i | ||||
\(726\) | 1.47581e10 | − | 1.51444e9i | 1.43137 | − | 0.146884i | ||||
\(727\) | −5.72289e9 | −0.552389 | −0.276194 | − | 0.961102i | \(-0.589073\pi\) | ||||
−0.276194 | + | 0.961102i | \(0.589073\pi\) | |||||||
\(728\) | −4.87277e9 | + | 5.32600e9i | −0.468076 | + | 0.511613i | ||||
\(729\) | −9.05297e9 | + | 5.24049e9i | −0.865455 | + | 0.500986i | ||||
\(730\) | −1.44879e10 | − | 1.40652e10i | −1.37840 | − | 1.33819i | ||||
\(731\) | 9.51605e8 | + | 9.51605e8i | 0.0901044 | + | 0.0901044i | ||||
\(732\) | −1.39036e10 | − | 1.09776e10i | −1.31021 | − | 1.03447i | ||||
\(733\) | 3.47201e7 | − | 3.47201e7i | 0.00325625 | − | 0.00325625i | −0.705477 | − | 0.708733i | \(-0.749267\pi\) |
0.708733 | + | 0.705477i | \(0.249267\pi\) | |||||||
\(734\) | −3.26166e7 | − | 2.20317e9i | −0.00304440 | − | 0.205642i | ||||
\(735\) | 7.65684e9 | + | 6.42237e9i | 0.711285 | + | 0.596609i | ||||
\(736\) | 5.94575e8 | + | 8.01834e9i | 0.0549711 | + | 0.741331i | ||||
\(737\) | − | 2.07011e10i | − | 1.90484i | ||||||
\(738\) | 1.57063e10 | − | 3.01601e9i | 1.43839 | − | 0.276208i | ||||
\(739\) | 5.02403e8 | + | 5.02403e8i | 0.0457927 | + | 0.0457927i | 0.729632 | − | 0.683840i | \(-0.239691\pi\) |
−0.683840 | + | 0.729632i | \(0.739691\pi\) | |||||||
\(740\) | −1.62678e10 | + | 4.81775e8i | −1.47577 | + | 0.0437053i | ||||
\(741\) | −4.82735e8 | − | 5.50564e9i | −0.0435858 | − | 0.497101i | ||||
\(742\) | 4.86415e9 | − | 5.01033e9i | 0.437112 | − | 0.450249i | ||||
\(743\) | − | 1.36889e10i | − | 1.22436i | −0.790719 | − | 0.612179i | \(-0.790293\pi\) | ||
0.790719 | − | 0.612179i | \(-0.209707\pi\) | |||||||
\(744\) | −9.85077e9 | + | 1.30656e9i | −0.876930 | + | 0.116312i | ||||
\(745\) | 1.26145e10i | 1.11770i | ||||||||
\(746\) | −2.60882e9 | − | 2.53270e9i | −0.230069 | − | 0.223356i | ||||
\(747\) | 1.23388e10 | − | 1.76359e10i | 1.08306 | − | 1.54802i | ||||
\(748\) | 1.07068e10 | − | 1.13603e10i | 0.935414 | − | 0.992510i | ||||
\(749\) | 1.08214e9 | + | 1.08214e9i | 0.0941015 | + | 0.0941015i | ||||
\(750\) | 7.82442e7 | − | 9.61390e7i | 0.00677233 | − | 0.00832119i | ||||
\(751\) | 6.06516e8i | 0.0522519i | 0.999659 | + | 0.0261260i | \(0.00831710\pi\) | ||||
−0.999659 | + | 0.0261260i | \(0.991683\pi\) | |||||||
\(752\) | −1.09055e10 | + | 6.46504e8i | −0.935153 | + | 0.0554382i | ||||
\(753\) | −3.66188e9 | + | 4.36574e9i | −0.312552 | + | 0.372628i | ||||
\(754\) | −9.35202e9 | + | 1.38451e8i | −0.794522 | + | 0.0117624i | ||||
\(755\) | 2.18139e9 | − | 2.18139e9i | 0.184467 | − | 0.184467i | ||||
\(756\) | 2.00797e9 | + | 6.68065e9i | 0.169017 | + | 0.562331i | ||||
\(757\) | −6.08954e9 | − | 6.08954e9i | −0.510210 | − | 0.510210i | 0.404381 | − | 0.914591i | \(-0.367487\pi\) |
−0.914591 | + | 0.404381i | \(0.867487\pi\) | |||||||
\(758\) | 1.08892e10 | − | 1.12164e10i | 0.908138 | − | 0.935431i | ||||
\(759\) | 1.07144e10 | + | 8.98699e9i | 0.889451 | + | 0.746050i | ||||
\(760\) | 7.23825e9 | − | 3.21661e8i | 0.598117 | − | 0.0265798i | ||||
\(761\) | 6.17438e9 | 0.507863 | 0.253932 | − | 0.967222i | \(-0.418276\pi\) | ||||
0.253932 | + | 0.967222i | \(0.418276\pi\) | |||||||
\(762\) | −1.44824e10 | + | 1.48615e9i | −1.18576 | + | 0.121680i | ||||
\(763\) | 1.91006e9 | − | 1.91006e9i | 0.155672 | − | 0.155672i | ||||
\(764\) | −1.02861e10 | + | 3.04626e8i | −0.834499 | + | 0.0247139i | ||||
\(765\) | −1.25545e10 | − | 8.78367e9i | −1.01388 | − | 0.709351i | ||||
\(766\) | 1.57549e10 | − | 2.33242e8i | 1.26653 | − | 0.0187502i | ||||
\(767\) | −8.26552e9 | −0.661434 | ||||||||
\(768\) | 2.56632e9 | + | 1.22884e10i | 0.204431 | + | 0.978881i | ||||
\(769\) | −2.10357e10 | −1.66807 | −0.834036 | − | 0.551710i | \(-0.813975\pi\) | ||||
−0.834036 | + | 0.551710i | \(0.813975\pi\) | |||||||
\(770\) | −1.64579e10 | + | 2.43649e8i | −1.29914 | + | 0.0192330i | ||||
\(771\) | −2.33922e10 | + | 2.05103e9i | −1.83815 | + | 0.161169i | ||||
\(772\) | 1.15153e10 | − | 3.41028e8i | 0.900770 | − | 0.0266765i | ||||
\(773\) | 1.83080e9 | − | 1.83080e9i | 0.142565 | − | 0.142565i | −0.632222 | − | 0.774787i | \(-0.717857\pi\) |
0.774787 | + | 0.632222i | \(0.217857\pi\) | |||||||
\(774\) | −1.05610e9 | + | 1.55809e9i | −0.0818674 | + | 0.120781i | ||||
\(775\) | −1.15500e10 | −0.891308 | ||||||||
\(776\) | −2.34219e10 | + | 1.04085e9i | −1.79931 | + | 0.0799597i | ||||
\(777\) | 5.14149e9 | − | 6.12976e9i | 0.393202 | − | 0.468781i | ||||
\(778\) | 1.07626e10 | − | 1.10860e10i | 0.819384 | − | 0.844010i | ||||
\(779\) | 5.77411e9 | + | 5.77411e9i | 0.437627 | + | 0.437627i | ||||
\(780\) | 2.20248e10 | − | 2.59013e9i | 1.66181 | − | 0.195430i | ||||
\(781\) | −1.75763e10 | + | 1.75763e10i | −1.32023 | + | 1.32023i | ||||
\(782\) | 8.68058e9 | − | 1.28510e8i | 0.649120 | − | 0.00960981i | ||||
\(783\) | −4.51474e9 | + | 7.83005e9i | −0.336098 | + | 0.582906i | ||||
\(784\) | −8.82530e9 | + | 5.23185e8i | −0.654068 | + | 0.0387748i | ||||
\(785\) | 3.40611e9i | 0.251313i | ||||||||
\(786\) | −5.86782e9 | − | 4.77562e9i | −0.431020 | − | 0.350793i | ||||
\(787\) | −8.83906e9 | − | 8.83906e9i | −0.646390 | − | 0.646390i | 0.305729 | − | 0.952119i | \(-0.401100\pi\) |
−0.952119 | + | 0.305729i | \(0.901100\pi\) | |||||||
\(788\) | 4.95094e8 | − | 5.25313e8i | 0.0360451 | − | 0.0382452i | ||||
\(789\) | 6.18982e9 | − | 5.42723e8i | 0.448651 | − | 0.0393377i | ||||
\(790\) | 9.53906e9 | + | 9.26074e9i | 0.688352 | + | 0.668268i | ||||
\(791\) | − | 1.20168e10i | − | 0.863317i | ||||||
\(792\) | 1.84282e10 | + | 1.17101e10i | 1.31809 | + | 0.837574i | ||||
\(793\) | − | 2.76844e10i | − | 1.97142i | ||||||
\(794\) | 4.30876e9 | − | 4.43826e9i | 0.305479 | − | 0.314659i | ||||
\(795\) | −2.13706e10 | + | 1.87378e9i | −1.50846 | + | 0.132261i | ||||
\(796\) | 8.81659e9 | − | 2.61105e8i | 0.619591 | − | 0.0183493i | ||||
\(797\) | 5.23597e9 | + | 5.23597e9i | 0.366347 | + | 0.366347i | 0.866143 | − | 0.499796i | \(-0.166592\pi\) |
−0.499796 | + | 0.866143i | \(0.666592\pi\) | |||||||
\(798\) | −2.24828e9 | + | 2.76247e9i | −0.156617 | + | 0.192436i | ||||
\(799\) | 1.17958e10i | 0.818114i | ||||||||
\(800\) | 1.07900e9 | + | 1.45513e10i | 0.0745088 | + | 1.00481i | ||||
\(801\) | 5.74593e9 | − | 1.01541e9i | 0.395045 | − | 0.0698118i | ||||
\(802\) | 3.95613e8 | + | 2.67227e10i | 0.0270807 | + | 1.82924i | ||||
\(803\) | 2.19688e10 | − | 2.19688e10i | 1.49727 | − | 1.49727i | ||||
\(804\) | 1.11385e10 | − | 1.41074e10i | 0.755840 | − | 0.957307i | ||||
\(805\) | −6.47265e9 | − | 6.47265e9i | −0.437317 | − | 0.437317i | ||||
\(806\) | −1.11422e10 | − | 1.08171e10i | −0.749548 | − | 0.727679i | ||||
\(807\) | 5.25258e9 | − | 6.26219e9i | 0.351816 | − | 0.419439i | ||||
\(808\) | 2.52029e9 | − | 2.75470e9i | 0.168078 | − | 0.183711i | ||||
\(809\) | −9.36137e9 | −0.621612 | −0.310806 | − | 0.950473i | \(-0.600599\pi\) | ||||
−0.310806 | + | 0.950473i | \(0.600599\pi\) | |||||||
\(810\) | 8.75359e9 | − | 1.95613e10i | 0.578747 | − | 1.29330i | ||||
\(811\) | −9.48370e9 | + | 9.48370e9i | −0.624317 | + | 0.624317i | −0.946632 | − | 0.322316i | \(-0.895539\pi\) |
0.322316 | + | 0.946632i | \(0.395539\pi\) | |||||||
\(812\) | 4.38646e9 | + | 4.13412e9i | 0.287520 | + | 0.270980i | ||||
\(813\) | 1.70294e10 | − | 1.49313e9i | 1.11143 | − | 0.0974500i | ||||
\(814\) | −3.70678e8 | − | 2.50384e10i | −0.0240886 | − | 1.62713i | ||||
\(815\) | 3.06907e10 | 1.98589 | ||||||||
\(816\) | 1.34090e10 | − | 1.98092e9i | 0.863936 | − | 0.127630i | ||||
\(817\) | −9.61053e8 | −0.0616553 | ||||||||
\(818\) | 2.63848e8 | + | 1.78223e10i | 0.0168545 | + | 1.13848i | ||||
\(819\) | −6.24958e9 | + | 8.93254e9i | −0.397518 | + | 0.568174i | ||||
\(820\) | −2.24731e10 | + | 2.38448e10i | −1.42336 | + | 1.51024i | ||||
\(821\) | 9.18151e9 | − | 9.18151e9i | 0.579046 | − | 0.579046i | −0.355594 | − | 0.934640i | \(-0.615722\pi\) |
0.934640 | + | 0.355594i | \(0.115722\pi\) | |||||||
\(822\) | 1.05962e9 | + | 1.03259e10i | 0.0665425 | + | 0.648452i | ||||
\(823\) | −1.65417e10 | −1.03438 | −0.517191 | − | 0.855870i | \(-0.673022\pi\) | ||||
−0.517191 | + | 0.855870i | \(0.673022\pi\) | |||||||
\(824\) | 2.97957e10 | − | 1.32409e9i | 1.85527 | − | 0.0824466i | ||||
\(825\) | 1.94439e10 | + | 1.63091e10i | 1.20558 | + | 1.01121i | ||||
\(826\) | 3.82192e9 | + | 3.71041e9i | 0.235967 | + | 0.229082i | ||||
\(827\) | −4.53923e8 | − | 4.53923e8i | −0.0279070 | − | 0.0279070i | 0.693016 | − | 0.720923i | \(-0.256282\pi\) |
−0.720923 | + | 0.693016i | \(0.756282\pi\) | |||||||
\(828\) | 2.46610e9 | + | 1.18895e10i | 0.150975 | + | 0.727874i | ||||
\(829\) | −1.27711e10 | + | 1.27711e10i | −0.778554 | + | 0.778554i | −0.979585 | − | 0.201031i | \(-0.935571\pi\) |
0.201031 | + | 0.979585i | \(0.435571\pi\) | |||||||
\(830\) | 6.52752e8 | + | 4.40918e10i | 0.0396255 | + | 2.67661i | ||||
\(831\) | 1.23457e9 | − | 1.47187e9i | 0.0746298 | − | 0.0889746i | ||||
\(832\) | −1.25870e10 | + | 1.50480e10i | −0.757688 | + | 0.905832i | ||||
\(833\) | 9.54579e9i | 0.572209i | ||||||||
\(834\) | −3.51512e9 | − | 2.86083e9i | −0.209826 | − | 0.170770i | ||||
\(835\) | 1.74257e10 | + | 1.74257e10i | 1.03583 | + | 1.03583i | ||||
\(836\) | 3.30006e8 | + | 1.11431e10i | 0.0195344 | + | 0.659606i | ||||
\(837\) | −1.44933e10 | + | 3.89232e9i | −0.854337 | + | 0.229440i | ||||
\(838\) | −9.94381e9 | + | 1.02427e10i | −0.583712 | + | 0.601255i | ||||
\(839\) | − | 9.08084e8i | − | 0.0530835i | −0.999648 | − | 0.0265417i | \(-0.991551\pi\) | ||
0.999648 | − | 0.0265417i | \(-0.00844949\pi\) | |||||||
\(840\) | −1.13468e10 | − | 8.68932e9i | −0.660537 | − | 0.505834i | ||||
\(841\) | − | 9.44014e9i | − | 0.547259i | ||||||
\(842\) | −2.36539e10 | − | 2.29638e10i | −1.36556 | − | 1.32572i | ||||
\(843\) | −8.54143e7 | − | 9.74160e8i | −0.00491060 | − | 0.0560059i | ||||
\(844\) | −7.49977e8 | − | 7.06834e8i | −0.0429388 | − | 0.0404686i | ||||
\(845\) | 6.93427e9 | + | 6.93427e9i | 0.395369 | + | 0.395369i | ||||
\(846\) | −1.62023e10 | + | 3.11126e9i | −0.919987 | + | 0.176661i | ||||
\(847\) | − | 1.49414e10i | − | 0.844889i | ||||||
\(848\) | 1.26017e10 | − | 1.41899e10i | 0.709647 | − | 0.799089i | ||||
\(849\) | −1.07476e10 | − | 9.01483e9i | −0.602746 | − | 0.505569i | ||||
\(850\) | 1.57530e10 | − | 2.33214e8i | 0.879829 | − | 0.0130253i | ||||
\(851\) | 9.84724e9 | − | 9.84724e9i | 0.547723 | − | 0.547723i | ||||
\(852\) | −2.14350e10 | + | 2.52077e9i | −1.18737 | + | 0.139635i | ||||
\(853\) | 5.94001e9 | + | 5.94001e9i | 0.327692 | + | 0.327692i | 0.851708 | − | 0.524017i | \(-0.175567\pi\) |
−0.524017 | + | 0.851708i | \(0.675567\pi\) | |||||||
\(854\) | −1.24276e10 | + | 1.28011e10i | −0.682785 | + | 0.703305i | ||||
\(855\) | 1.07750e10 | − | 1.90415e9i | 0.589572 | − | 0.104188i | ||||
\(856\) | 3.06857e9 | + | 2.80745e9i | 0.167216 | + | 0.152987i | ||||
\(857\) | −4.67588e9 | −0.253764 | −0.126882 | − | 0.991918i | \(-0.540497\pi\) | ||||
−0.126882 | + | 0.991918i | \(0.540497\pi\) | |||||||
\(858\) | 3.48318e9 | + | 3.39434e10i | 0.188266 | + | 1.83463i | ||||
\(859\) | 3.42573e8 | − | 3.42573e8i | 0.0184407 | − | 0.0184407i | −0.697826 | − | 0.716267i | \(-0.745849\pi\) |
0.716267 | + | 0.697826i | \(0.245849\pi\) | |||||||
\(860\) | −1.14155e8 | − | 3.85462e9i | −0.00612000 | − | 0.206650i | ||||
\(861\) | −1.40689e9 | − | 1.60458e10i | −0.0751191 | − | 0.856743i | ||||
\(862\) | −1.22634e10 | + | 1.81552e8i | −0.652133 | + | 0.00965442i | ||||
\(863\) | 2.75375e9 | 0.145843 | 0.0729216 | − | 0.997338i | \(-0.476768\pi\) | ||||
0.0729216 | + | 0.997338i | \(0.476768\pi\) | |||||||
\(864\) | 6.25768e9 | + | 1.78957e10i | 0.330077 | + | 0.943954i | ||||
\(865\) | 3.14730e10 | 1.65342 | ||||||||
\(866\) | 3.51347e10 | − | 5.20147e8i | 1.83833 | − | 0.0272153i | ||||
\(867\) | 3.97785e8 | + | 4.53678e9i | 0.0207291 | + | 0.236418i | ||||
\(868\) | 2.96257e8 | + | 1.00035e10i | 0.0153762 | + | 0.519200i | ||||
\(869\) | −1.44646e10 | + | 1.44646e10i | −0.747715 | + | 0.747715i | ||||
\(870\) | −1.89027e9 | − | 1.84206e10i | −0.0973212 | − | 0.948388i | ||||
\(871\) | 2.80901e10 | 1.44042 | ||||||||
\(872\) | 4.95536e9 | − | 5.41626e9i | 0.253086 | − | 0.276625i | ||||
\(873\) | −3.48664e10 | + | 6.16153e9i | −1.77360 | + | 0.313429i | ||||
\(874\) | −4.31849e9 | + | 4.44828e9i | −0.218797 | + | 0.225373i | ||||
\(875\) | −8.82747e7 | − | 8.82747e7i | −0.00445459 | − | 0.00445459i | ||||
\(876\) | 2.67918e10 | − | 3.15074e9i | 1.34660 | − | 0.158361i | ||||
\(877\) | 5.52325e9 | − | 5.52325e9i | 0.276501 | − | 0.276501i | −0.555210 | − | 0.831710i | \(-0.687362\pi\) |
0.831710 | + | 0.555210i | \(0.187362\pi\) | |||||||
\(878\) | 1.21565e10 | − | 1.79969e8i | 0.606146 | − | 0.00897361i | ||||
\(879\) | −1.48172e10 | − | 1.24283e10i | −0.735876 | − | 0.617235i | ||||
\(880\) | −4.46539e10 | + | 2.64719e9i | −2.20887 | + | 0.130947i | ||||
\(881\) | − | 2.69323e9i | − | 0.132696i | −0.997797 | − | 0.0663480i | \(-0.978865\pi\) | ||
0.997797 | − | 0.0663480i | \(-0.0211347\pi\) | |||||||
\(882\) | −1.31118e10 | + | 2.51779e9i | −0.643461 | + | 0.123561i | ||||
\(883\) | 3.24221e9 | + | 3.24221e9i | 0.158482 | + | 0.158482i | 0.781894 | − | 0.623412i | \(-0.214254\pi\) |
−0.623412 | + | 0.781894i | \(0.714254\pi\) | |||||||
\(884\) | 1.54152e10 | + | 1.45285e10i | 0.750529 | + | 0.707354i | ||||
\(885\) | −1.42933e9 | − | 1.63017e10i | −0.0693156 | − | 0.790553i | ||||
\(886\) | −2.47217e10 | − | 2.40004e10i | −1.19415 | − | 1.15931i | ||||
\(887\) | − | 4.69795e9i | − | 0.226035i | −0.993593 | − | 0.113017i | \(-0.963948\pi\) | ||
0.993593 | − | 0.113017i | \(-0.0360516\pi\) | |||||||
\(888\) | 1.32196e10 | − | 1.72626e10i | 0.633538 | − | 0.827297i | ||||
\(889\) | 1.46623e10i | 0.699915i | ||||||||
\(890\) | −8.32693e9 | + | 8.57718e9i | −0.395931 | + | 0.407830i | ||||
\(891\) | 2.98949e10 | + | 1.39126e10i | 1.41588 | + | 0.658925i | ||||
\(892\) | 9.47101e8 | + | 3.19802e10i | 0.0446806 | + | 1.50870i | ||||
\(893\) | −5.95647e9 | − | 5.95647e9i | −0.279904 | − | 0.279904i | ||||
\(894\) | −1.30709e10 | − | 1.06380e10i | −0.611821 | − | 0.497940i | ||||
\(895\) | − | 2.82811e8i | − | 0.0131861i | ||||||
\(896\) | 1.25752e10 | − | 1.30777e9i | 0.584033 | − | 0.0607368i | ||||
\(897\) | −1.21948e10 | + | 1.45388e10i | −0.564158 | + | 0.672596i | ||||
\(898\) | −1.04573e8 | − | 7.06366e9i | −0.00481895 | − | 0.325509i | ||||
\(899\) | −9.16897e9 | + | 9.16897e9i | −0.420883 | + | 0.420883i | ||||
\(900\) | 4.47535e9 | + | 2.15764e10i | 0.204634 | + | 0.986573i | ||||
\(901\) | −1.44894e10 | − | 1.44894e10i | −0.659956 | − | 0.659956i | ||||
\(902\) | −3.61725e10 | − | 3.51171e10i | −1.64118 | − | 1.59329i | ||||
\(903\) | 1.45243e9 | + | 1.21826e9i | 0.0656429 | + | 0.0550597i | ||||
\(904\) | −1.44985e9 | − | 3.26256e10i | −0.0652731 | − | 1.46882i | ||||
\(905\) | 3.01982e10 | 1.35429 | ||||||||
\(906\) | 4.20720e8 | + | 4.09988e9i | 0.0187951 | + | 0.183157i | ||||
\(907\) | −2.62666e10 | + | 2.62666e10i | −1.16890 | + | 1.16890i | −0.186433 | + | 0.982468i | \(0.559693\pi\) |
−0.982468 | + | 0.186433i | \(0.940307\pi\) | |||||||
\(908\) | 1.30299e9 | − | 1.38252e9i | 0.0577619 | − | 0.0612875i | ||||
\(909\) | 3.23240e9 | − | 4.62008e9i | 0.142742 | − | 0.204021i | ||||
\(910\) | −3.30616e8 | − | 2.23323e10i | −0.0145438 | − | 0.982402i | ||||
\(911\) | −1.83902e10 | −0.805882 | −0.402941 | − | 0.915226i | \(-0.632012\pi\) | ||||
−0.402941 | + | 0.915226i | \(0.632012\pi\) | |||||||
\(912\) | −5.77079e9 | + | 7.77137e9i | −0.251914 | + | 0.339247i | ||||
\(913\) | −6.78485e10 | −2.95048 | ||||||||
\(914\) | −8.01314e7 | − | 5.41269e9i | −0.00347129 | − | 0.234478i | ||||
\(915\) | 5.46006e10 | − | 4.78738e9i | 2.35626 | − | 0.206597i | ||||
\(916\) | 1.03986e9 | + | 9.80037e8i | 0.0447033 | + | 0.0421316i | ||||
\(917\) | −5.38783e9 | + | 5.38783e9i | −0.230739 | + | 0.230739i | ||||
\(918\) | 1.96888e10 | − | 5.60136e9i | 0.839981 | − | 0.238970i | ||||
\(919\) | 2.04767e10 | 0.870272 | 0.435136 | − | 0.900365i | \(-0.356700\pi\) | ||||
0.435136 | + | 0.900365i | \(0.356700\pi\) | |||||||
\(920\) | −1.83542e10 | − | 1.67923e10i | −0.777102 | − | 0.710974i | ||||
\(921\) | 1.73879e10 | − | 2.07301e10i | 0.733397 | − | 0.874365i | ||||
\(922\) | −1.81041e9 | − | 1.75759e9i | −0.0760711 | − | 0.0738516i | ||||
\(923\) | −2.38499e10 | − | 2.38499e10i | −0.998347 | − | 0.998347i | ||||
\(924\) | 1.36266e10 | − | 1.72588e10i | 0.568246 | − | 0.719711i | ||||
\(925\) | 1.78702e10 | − | 1.78702e10i | 0.742394 | − | 0.742394i | ||||
\(926\) | −3.22567e8 | − | 2.17886e10i | −0.0133500 | − | 0.901761i | ||||
\(927\) | 4.43545e10 | − | 7.83826e9i | 1.82877 | − | 0.323177i | ||||
\(928\) | 1.24080e10 | + | 1.06949e10i | 0.509665 | + | 0.439298i | ||||
\(929\) | − | 4.17877e9i | − | 0.170999i | −0.996338 | − | 0.0854994i | \(-0.972751\pi\) | ||
0.996338 | − | 0.0854994i | \(-0.0272486\pi\) | |||||||
\(930\) | 1.94073e10 | − | 2.38458e10i | 0.791180 | − | 0.972126i | ||||
\(931\) | −4.82029e9 | − | 4.82029e9i | −0.195771 | − | 0.195771i | ||||
\(932\) | 4.27883e9 | − | 1.26719e8i | 0.173129 | − | 0.00512725i | ||||
\(933\) | −2.59473e10 | + | 2.27506e9i | −1.04594 | + | 0.0917080i | ||||
\(934\) | 2.15377e10 | − | 2.21849e10i | 0.864937 | − | 0.890932i | ||||
\(935\) | 4.82994e10i | 1.93242i | ||||||||
\(936\) | −1.58899e10 | + | 2.50059e10i | −0.633367 | + | 0.996729i | ||||
\(937\) | 3.07879e10i | 1.22262i | 0.791392 | + | 0.611309i | \(0.209357\pi\) | ||||
−0.791392 | + | 0.611309i | \(0.790643\pi\) | |||||||
\(938\) | −1.29887e10 | − | 1.26097e10i | −0.513872 | − | 0.498879i | ||||
\(939\) | −4.35251e10 | + | 3.81628e9i | −1.71558 | + | 0.150422i | ||||
\(940\) | 2.31828e10 | − | 2.45978e10i | 0.910371 | − | 0.965939i | ||||
\(941\) | −1.22077e10 | − | 1.22077e10i | −0.477606 | − | 0.477606i | 0.426760 | − | 0.904365i | \(-0.359655\pi\) |
−0.904365 | + | 0.426760i | \(0.859655\pi\) | |||||||
\(942\) | −3.52933e9 | − | 2.87240e9i | −0.137567 | − | 0.111961i | ||||
\(943\) | − | 2.80372e10i | − | 1.08879i | ||||||
\(944\) | 1.08242e10 | + | 9.61264e9i | 0.418787 | + | 0.371912i | ||||
\(945\) | −1.86979e10 | − | 1.07811e10i | −0.720746 | − | 0.415576i | ||||
\(946\) | 5.93278e9 | − | 8.78311e7i | 0.227845 | − | 0.00337310i | ||||
\(947\) | −2.18974e10 | + | 2.18974e10i | −0.837852 | + | 0.837852i | −0.988576 | − | 0.150724i | \(-0.951840\pi\) |
0.150724 | + | 0.988576i | \(0.451840\pi\) | |||||||
\(948\) | −1.76401e10 | + | 2.07449e9i | −0.672470 | + | 0.0790828i | ||||
\(949\) | 2.98103e10 | + | 2.98103e10i | 1.13223 | + | 1.13223i | ||||
\(950\) | −7.83696e9 | + | 8.07249e9i | −0.296562 | + | 0.305474i | ||||
\(951\) | −2.96682e9 | + | 3.53708e9i | −0.111856 | + | 0.133356i | ||||
\(952\) | −6.06050e8 | − | 1.36378e10i | −0.0227656 | − | 0.512288i | ||||
\(953\) | −4.29136e10 | −1.60609 | −0.803045 | − | 0.595918i | \(-0.796788\pi\) | ||||
−0.803045 | + | 0.595918i | \(0.796788\pi\) | |||||||
\(954\) | 1.60805e10 | − | 2.37240e10i | 0.599625 | − | 0.884642i | ||||
\(955\) | 2.25138e10 | − | 2.25138e10i | 0.836443 | − | 0.836443i | ||||
\(956\) | −1.13304e10 | + | 3.35552e8i | −0.419414 | + | 0.0124210i | ||||
\(957\) | 2.83824e10 | − | 2.48857e9i | 1.04679 | − | 0.0917821i | ||||
\(958\) | 2.03189e10 | − | 3.00808e8i | 0.746656 | − | 0.0110538i | ||||
\(959\) | 1.04542e10 | 0.382759 | ||||||||
\(960\) | −3.18551e10 | − | 2.22225e10i | −1.16206 | − | 0.810669i | ||||
\(961\) | 5.98305e9 | 0.217466 | ||||||||
\(962\) | 3.39756e10 | − | 5.02987e8i | 1.23042 | − | 0.0182156i | ||||
\(963\) | 5.14648e9 | + | 3.60069e9i | 0.185703 | + | 0.129925i | ||||
\(964\) | −1.97455e10 | + | 5.84767e8i | −0.709902 | + | 0.0210239i | ||||
\(965\) | −2.52041e10 | + | 2.52041e10i | −0.902870 | + | 0.902870i | ||||
\(966\) | 1.21653e10 | − | 1.24837e9i | 0.434212 | − | 0.0445577i | ||||
\(967\) | 3.78183e10 | 1.34496 | 0.672480 | − | 0.740116i | \(-0.265229\pi\) | ||||
0.672480 | + | 0.740116i | \(0.265229\pi\) | |||||||
\(968\) | −1.80271e9 | − | 4.05660e10i | −0.0638798 | − | 1.43747i | ||||
\(969\) | 8.00765e9 | + | 6.71663e9i | 0.282730 | + | 0.237147i | ||||
\(970\) | 5.05279e10 | − | 5.20464e10i | 1.77758 | − | 1.83101i | ||||
\(971\) | −1.84442e10 | − | 1.84442e10i | −0.646537 | − | 0.646537i | 0.305617 | − | 0.952155i | \(-0.401137\pi\) |
−0.952155 | + | 0.305617i | \(0.901137\pi\) | |||||||
\(972\) | 1.28870e10 | + | 2.55664e10i | 0.450110 | + | 0.892973i | ||||
\(973\) | −3.22758e9 | + | 3.22758e9i | −0.112326 | + | 0.112326i | ||||
\(974\) | −3.96193e9 | + | 5.86539e7i | −0.137389 | + | 0.00203395i | ||||
\(975\) | −2.21304e10 | + | 2.63842e10i | −0.764669 | + | 0.911649i | ||||
\(976\) | −3.21964e10 | + | 3.62544e10i | −1.10849 | + | 1.24820i | ||||
\(977\) | 1.84798e10i | 0.633968i | 0.948431 | + | 0.316984i | \(0.102670\pi\) | ||||
−0.948431 | + | 0.316984i | \(0.897330\pi\) | |||||||
\(978\) | −2.58818e10 | + | 3.18010e10i | −0.884724 | + | 1.08706i | ||||
\(979\) | −1.30060e10 | − | 1.30060e10i | −0.443001 | − | 0.443001i | ||||
\(980\) | 1.87608e10 | − | 1.99059e10i | 0.636736 | − | 0.675601i | ||||
\(981\) | 6.35550e9 | − | 9.08393e9i | 0.214935 | − | 0.307208i | ||||
\(982\) | 2.48245e10 | + | 2.41002e10i | 0.836547 | + | 0.812139i | ||||
\(983\) | − | 1.10126e10i | − | 0.369788i | −0.982758 | − | 0.184894i | \(-0.940806\pi\) | ||
0.982758 | − | 0.184894i | \(-0.0591942\pi\) | |||||||
\(984\) | −5.75569e9 | − | 4.33946e10i | −0.192581 | − | 1.45196i | ||||
\(985\) | 2.23342e9i | 0.0744634i | ||||||||
\(986\) | 1.23204e10 | − | 1.26906e10i | 0.409312 | − | 0.421614i | ||||
\(987\) | 1.45133e9 | + | 1.65525e10i | 0.0480457 | + | 0.547967i | ||||
\(988\) | −1.51205e10 | + | 4.47797e8i | −0.498789 | + | 0.0147718i | ||||
\(989\) | 2.33328e9 | + | 2.33328e9i | 0.0766971 | + | 0.0766971i | ||||
\(990\) | −6.63425e10 | + | 1.27394e10i | −2.17304 | + | 0.417279i | ||||
\(991\) | − | 4.11588e10i | − | 1.34340i | −0.740824 | − | 0.671700i | \(-0.765565\pi\) | ||
0.740824 | − | 0.671700i | \(-0.234435\pi\) | |||||||
\(992\) | 2.01129e9 | + | 2.71239e10i | 0.0654159 | + | 0.882188i | ||||
\(993\) | 9.29200e9 | + | 7.79391e9i | 0.301153 | + | 0.252600i | ||||
\(994\) | 3.21763e8 | + | 2.17343e10i | 0.0103916 | + | 0.701930i | ||||
\(995\) | −1.92973e10 | + | 1.92973e10i | −0.621035 | + | 0.621035i | ||||
\(996\) | −4.62374e10 | − | 3.65067e10i | −1.48281 | − | 1.17075i | ||||
\(997\) | 3.46173e10 | + | 3.46173e10i | 1.10627 | + | 1.10627i | 0.993637 | + | 0.112629i | \(0.0359272\pi\) |
0.112629 | + | 0.993637i | \(0.464073\pi\) | |||||||
\(998\) | 2.17695e9 | + | 2.11343e9i | 0.0693251 | + | 0.0673024i | ||||
\(999\) | 1.64019e10 | − | 2.84463e10i | 0.520493 | − | 0.902707i |
(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 | 48.8.k.a.11.1 | ✓ | 108 | |
3.2 | odd | 2 | inner | 48.8.k.a.11.54 | yes | 108 | |
16.3 | odd | 4 | inner | 48.8.k.a.35.54 | yes | 108 | |
48.35 | even | 4 | inner | 48.8.k.a.35.1 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.8.k.a.11.1 | ✓ | 108 | 1.1 | even | 1 | trivial | |
48.8.k.a.11.54 | yes | 108 | 3.2 | odd | 2 | inner | |
48.8.k.a.35.1 | yes | 108 | 48.35 | even | 4 | inner | |
48.8.k.a.35.54 | yes | 108 | 16.3 | odd | 4 | inner |