Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 8.12 | ||
Character | \(\chi\) | \(=\) | 17.8 |
Dual form | 17.10.d.a.15.12 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 26.4264 | − | 26.4264i | 1.16789 | − | 1.16789i | 0.185188 | − | 0.982703i | \(-0.440711\pi\) |
0.982703 | − | 0.185188i | \(-0.0592895\pi\) | |||||||
\(3\) | −94.0407 | + | 227.034i | −0.670302 | + | 1.61825i | 0.110796 | + | 0.993843i | \(0.464660\pi\) |
−0.781098 | + | 0.624409i | \(0.785340\pi\) | |||||||
\(4\) | − | 884.705i | − | 1.72794i | ||||||
\(5\) | −1431.34 | − | 592.881i | −1.02418 | − | 0.424231i | −0.193574 | − | 0.981086i | \(-0.562008\pi\) |
−0.830610 | + | 0.556855i | \(0.812008\pi\) | |||||||
\(6\) | 3514.54 | + | 8484.85i | 1.10710 | + | 2.67278i | ||||
\(7\) | −8665.10 | + | 3589.20i | −1.36406 | + | 0.565011i | −0.940170 | − | 0.340705i | \(-0.889334\pi\) |
−0.423886 | + | 0.905716i | \(0.639334\pi\) | |||||||
\(8\) | −9849.24 | − | 9849.24i | −0.850155 | − | 0.850155i | ||||
\(9\) | −28783.0 | − | 28783.0i | −1.46233 | − | 1.46233i | ||||
\(10\) | −53492.8 | + | 22157.4i | −1.69159 | + | 0.700680i | ||||
\(11\) | 12187.7 | + | 29423.6i | 0.250988 | + | 0.605939i | 0.998284 | − | 0.0585519i | \(-0.0186483\pi\) |
−0.747296 | + | 0.664491i | \(0.768648\pi\) | |||||||
\(12\) | 200859. | + | 83198.3i | 2.79624 | + | 1.15824i | ||||
\(13\) | − | 3836.87i | − | 0.0372590i | −0.999826 | − | 0.0186295i | \(-0.994070\pi\) | ||
0.999826 | − | 0.0186295i | \(-0.00593030\pi\) | |||||||
\(14\) | −134137. | + | 323837.i | −0.933198 | + | 2.25294i | ||||
\(15\) | 269209. | − | 269209.i | 1.37302 | − | 1.37302i | ||||
\(16\) | −67590.2 | −0.257836 | ||||||||
\(17\) | 271096. | − | 212355.i | 0.787233 | − | 0.616656i | ||||
\(18\) | −1.52126e6 | −3.41568 | ||||||||
\(19\) | −498424. | + | 498424.i | −0.877420 | + | 0.877420i | −0.993267 | − | 0.115847i | \(-0.963042\pi\) |
0.115847 | + | 0.993267i | \(0.463042\pi\) | |||||||
\(20\) | −524525. | + | 1.26631e6i | −0.733045 | + | 1.76973i | ||||
\(21\) | − | 2.30481e6i | − | 2.58611i | ||||||
\(22\) | 1.09964e6 | + | 455484.i | 1.00080 | + | 0.414544i | ||||
\(23\) | −54124.7 | − | 130669.i | −0.0403293 | − | 0.0973634i | 0.902431 | − | 0.430834i | \(-0.141780\pi\) |
−0.942761 | + | 0.333470i | \(0.891780\pi\) | |||||||
\(24\) | 3.16235e6 | − | 1.30989e6i | 1.94562 | − | 0.805904i | ||||
\(25\) | 316161. | + | 316161.i | 0.161874 | + | 0.161874i | ||||
\(26\) | −101394. | − | 101394.i | −0.0435145 | − | 0.0435145i | ||||
\(27\) | 4.77279e6 | − | 1.97695e6i | 1.72836 | − | 0.715911i | ||||
\(28\) | 3.17538e6 | + | 7.66606e6i | 0.976304 | + | 2.35701i | ||||
\(29\) | −4.99241e6 | − | 2.06793e6i | −1.31075 | − | 0.542930i | −0.385646 | − | 0.922647i | \(-0.626022\pi\) |
−0.925103 | + | 0.379717i | \(0.876022\pi\) | |||||||
\(30\) | − | 1.42284e7i | − | 3.20709i | ||||||
\(31\) | −3.36298e6 | + | 8.11894e6i | −0.654028 | + | 1.57896i | 0.152854 | + | 0.988249i | \(0.451154\pi\) |
−0.806881 | + | 0.590713i | \(0.798846\pi\) | |||||||
\(32\) | 3.25665e6 | − | 3.25665e6i | 0.549030 | − | 0.549030i | ||||
\(33\) | −7.82631e6 | −1.14880 | ||||||||
\(34\) | 1.55231e6 | − | 1.27759e7i | 0.199215 | − | 1.63959i | ||||
\(35\) | 1.45307e7 | 1.63674 | ||||||||
\(36\) | −2.54645e7 | + | 2.54645e7i | −2.52681 | + | 2.52681i | ||||
\(37\) | −112891. | + | 272543.i | −0.00990264 | + | 0.0239071i | −0.928754 | − | 0.370698i | \(-0.879119\pi\) |
0.918851 | + | 0.394605i | \(0.129119\pi\) | |||||||
\(38\) | 2.63431e7i | 2.04946i | ||||||||
\(39\) | 871101. | + | 360822.i | 0.0602945 | + | 0.0249748i | ||||
\(40\) | 8.25820e6 | + | 1.99370e7i | 0.510053 | + | 1.23138i | ||||
\(41\) | 1.30639e7 | − | 5.41125e6i | 0.722015 | − | 0.299068i | 0.00874870 | − | 0.999962i | \(-0.497215\pi\) |
0.713266 | + | 0.700893i | \(0.247215\pi\) | |||||||
\(42\) | −6.09077e7 | − | 6.09077e7i | −3.02030 | − | 3.02030i | ||||
\(43\) | −1.32798e7 | − | 1.32798e7i | −0.592355 | − | 0.592355i | 0.345912 | − | 0.938267i | \(-0.387570\pi\) |
−0.938267 | + | 0.345912i | \(0.887570\pi\) | |||||||
\(44\) | 2.60312e7 | − | 1.07825e7i | 1.04703 | − | 0.433693i | ||||
\(45\) | 2.41334e7 | + | 5.82631e7i | 0.877328 | + | 2.11806i | ||||
\(46\) | −4.88341e6 | − | 2.02278e6i | −0.160810 | − | 0.0666097i | ||||
\(47\) | 2.19574e7i | 0.656357i | 0.944616 | + | 0.328179i | \(0.106435\pi\) | ||||
−0.944616 | + | 0.328179i | \(0.893565\pi\) | |||||||
\(48\) | 6.35624e6 | − | 1.53453e7i | 0.172828 | − | 0.417244i | ||||
\(49\) | 3.36672e7 | − | 3.36672e7i | 0.834306 | − | 0.834306i | ||||
\(50\) | 1.67099e7 | 0.378103 | ||||||||
\(51\) | 2.27179e7 | + | 8.15182e7i | 0.470221 | + | 1.68729i | ||||
\(52\) | −3.39450e6 | −0.0643814 | ||||||||
\(53\) | −5.89440e7 | + | 5.89440e7i | −1.02612 | + | 1.02612i | −0.0264711 | + | 0.999650i | \(0.508427\pi\) |
−0.999650 | + | 0.0264711i | \(0.991573\pi\) | |||||||
\(54\) | 7.38837e7 | − | 1.78371e8i | 1.18243 | − | 2.85465i | ||||
\(55\) | − | 4.93411e7i | − | 0.727070i | ||||||
\(56\) | 1.20696e8 | + | 4.99937e7i | 1.64000 | + | 0.679312i | ||||
\(57\) | −6.62872e7 | − | 1.60032e8i | −0.831750 | − | 2.00802i | ||||
\(58\) | −1.86579e8 | + | 7.72836e7i | −2.16490 | + | 0.896729i | ||||
\(59\) | 7.42776e7 | + | 7.42776e7i | 0.798039 | + | 0.798039i | 0.982786 | − | 0.184748i | \(-0.0591467\pi\) |
−0.184748 | + | 0.982786i | \(0.559147\pi\) | |||||||
\(60\) | −2.38170e8 | − | 2.38170e8i | −2.37250 | − | 2.37250i | ||||
\(61\) | −9.05193e6 | + | 3.74943e6i | −0.0837061 | + | 0.0346722i | −0.424144 | − | 0.905595i | \(-0.639425\pi\) |
0.340438 | + | 0.940267i | \(0.389425\pi\) | |||||||
\(62\) | 1.25683e8 | + | 3.03425e8i | 1.08022 | + | 2.60789i | ||||
\(63\) | 3.52715e8 | + | 1.46099e8i | 2.82093 | + | 1.16847i | ||||
\(64\) | − | 2.06729e8i | − | 1.54025i | ||||||
\(65\) | −2.27480e6 | + | 5.49186e6i | −0.0158064 | + | 0.0381601i | ||||
\(66\) | −2.06821e8 | + | 2.06821e8i | −1.34167 | + | 1.34167i | ||||
\(67\) | −1.49532e8 | −0.906560 | −0.453280 | − | 0.891368i | \(-0.649746\pi\) | ||||
−0.453280 | + | 0.891368i | \(0.649746\pi\) | |||||||
\(68\) | −1.87872e8 | − | 2.39840e8i | −1.06554 | − | 1.36029i | ||||
\(69\) | 3.47562e7 | 0.184591 | ||||||||
\(70\) | 3.83993e8 | − | 3.83993e8i | 1.91153 | − | 1.91153i | ||||
\(71\) | −2.68600e6 | + | 6.48457e6i | −0.0125442 | + | 0.0302844i | −0.930028 | − | 0.367490i | \(-0.880217\pi\) |
0.917483 | + | 0.397774i | \(0.130217\pi\) | |||||||
\(72\) | 5.66981e8i | 2.48641i | ||||||||
\(73\) | −8.42466e7 | − | 3.48961e7i | −0.347216 | − | 0.143821i | 0.202258 | − | 0.979332i | \(-0.435172\pi\) |
−0.549474 | + | 0.835511i | \(0.685172\pi\) | |||||||
\(74\) | 4.21901e6 | + | 1.01856e7i | 0.0163557 | + | 0.0394861i | ||||
\(75\) | −1.01511e8 | + | 4.20474e7i | −0.370458 | + | 0.153449i | ||||
\(76\) | 4.40958e8 | + | 4.40958e8i | 1.51613 | + | 1.51613i | ||||
\(77\) | −2.11215e8 | − | 2.11215e8i | −0.684724 | − | 0.684724i | ||||
\(78\) | 3.25552e7 | − | 1.34848e7i | 0.0995853 | − | 0.0412496i | ||||
\(79\) | 3.15962e7 | + | 7.62799e7i | 0.0912668 | + | 0.220337i | 0.962921 | − | 0.269784i | \(-0.0869524\pi\) |
−0.871654 | + | 0.490122i | \(0.836952\pi\) | |||||||
\(80\) | 9.67446e7 | + | 4.00729e7i | 0.264072 | + | 0.109382i | ||||
\(81\) | 4.68298e8i | 1.20876i | ||||||||
\(82\) | 2.02232e8 | − | 4.88231e8i | 0.493955 | − | 1.19251i | ||||
\(83\) | −4.05665e7 | + | 4.05665e7i | −0.0938244 | + | 0.0938244i | −0.752461 | − | 0.658637i | \(-0.771133\pi\) |
0.658637 | + | 0.752461i | \(0.271133\pi\) | |||||||
\(84\) | −2.03907e9 | −4.46865 | ||||||||
\(85\) | −5.13932e8 | + | 1.43225e8i | −1.06788 | + | 0.297601i | ||||
\(86\) | −7.01872e8 | −1.38361 | ||||||||
\(87\) | 9.38981e8 | − | 9.38981e8i | 1.75720 | − | 1.75720i | ||||
\(88\) | 1.69761e8 | − | 4.09840e8i | 0.301763 | − | 0.728521i | ||||
\(89\) | 6.66119e7i | 0.112537i | 0.998416 | + | 0.0562687i | \(0.0179204\pi\) | ||||
−0.998416 | + | 0.0562687i | \(0.982080\pi\) | |||||||
\(90\) | 2.17744e9 | + | 9.01925e8i | 3.49828 | + | 1.44904i | ||||
\(91\) | 1.37713e7 | + | 3.32468e7i | 0.0210517 | + | 0.0508234i | ||||
\(92\) | −1.15603e8 | + | 4.78844e7i | −0.168238 | + | 0.0696865i | ||||
\(93\) | −1.52702e9 | − | 1.52702e9i | −2.11676 | − | 2.11676i | ||||
\(94\) | 5.80254e8 | + | 5.80254e8i | 0.766554 | + | 0.766554i | ||||
\(95\) | 1.00892e9 | − | 4.17908e8i | 1.27087 | − | 0.526411i | ||||
\(96\) | 4.33114e8 | + | 1.04563e9i | 0.520453 | + | 1.25648i | ||||
\(97\) | 5.30835e8 | + | 2.19879e8i | 0.608817 | + | 0.252180i | 0.665722 | − | 0.746199i | \(-0.268124\pi\) |
−0.0569059 | + | 0.998380i | \(0.518124\pi\) | |||||||
\(98\) | − | 1.77941e9i | − | 1.94876i | ||||||
\(99\) | 4.96103e8 | − | 1.19770e9i | 0.519055 | − | 1.25311i | ||||
\(100\) | 2.79709e8 | − | 2.79709e8i | 0.279709 | − | 0.279709i | ||||
\(101\) | 4.50136e8 | 0.430425 | 0.215213 | − | 0.976567i | \(-0.430956\pi\) | ||||
0.215213 | + | 0.976567i | \(0.430956\pi\) | |||||||
\(102\) | 2.75458e9 | + | 1.55388e9i | 2.51973 | + | 1.42140i | ||||
\(103\) | −7.34932e8 | −0.643398 | −0.321699 | − | 0.946842i | \(-0.604254\pi\) | ||||
−0.321699 | + | 0.946842i | \(0.604254\pi\) | |||||||
\(104\) | −3.77902e7 | + | 3.77902e7i | −0.0316759 | + | 0.0316759i | ||||
\(105\) | −1.36648e9 | + | 3.29896e9i | −1.09711 | + | 2.64866i | ||||
\(106\) | 3.11535e9i | 2.39679i | ||||||||
\(107\) | −1.14140e9 | − | 4.72783e8i | −0.841803 | − | 0.348686i | −0.0802385 | − | 0.996776i | \(-0.525568\pi\) |
−0.761564 | + | 0.648090i | \(0.775568\pi\) | |||||||
\(108\) | −1.74902e9 | − | 4.22251e9i | −1.23705 | − | 2.98651i | ||||
\(109\) | 3.28499e8 | − | 1.36069e8i | 0.222902 | − | 0.0923292i | −0.268437 | − | 0.963297i | \(-0.586507\pi\) |
0.491340 | + | 0.870968i | \(0.336507\pi\) | |||||||
\(110\) | −1.30390e9 | − | 1.30390e9i | −0.849139 | − | 0.849139i | ||||
\(111\) | −5.12602e7 | − | 5.12602e7i | −0.0320499 | − | 0.0320499i | ||||
\(112\) | 5.85676e8 | − | 2.42595e8i | 0.351703 | − | 0.145680i | ||||
\(113\) | −2.73372e8 | − | 6.59979e8i | −0.157725 | − | 0.380783i | 0.825186 | − | 0.564861i | \(-0.191070\pi\) |
−0.982912 | + | 0.184078i | \(0.941070\pi\) | |||||||
\(114\) | −5.98078e9 | − | 2.47732e9i | −3.31655 | − | 1.37376i | ||||
\(115\) | 2.19121e8i | 0.116827i | ||||||||
\(116\) | −1.82950e9 | + | 4.41681e9i | −0.938151 | + | 2.26490i | ||||
\(117\) | −1.10436e8 | + | 1.10436e8i | −0.0544849 | + | 0.0544849i | ||||
\(118\) | 3.92577e9 | 1.86404 | ||||||||
\(119\) | −1.58689e9 | + | 2.81310e9i | −0.725413 | + | 1.28595i | ||||
\(120\) | −5.30300e9 | −2.33457 | ||||||||
\(121\) | 9.50110e8 | − | 9.50110e8i | 0.402939 | − | 0.402939i | ||||
\(122\) | −1.40126e8 | + | 3.38293e8i | −0.0572662 | + | 0.138253i | ||||
\(123\) | 3.47484e9i | 1.36887i | ||||||||
\(124\) | 7.18287e9 | + | 2.97524e9i | 2.72835 | + | 1.13012i | ||||
\(125\) | 8.92882e8 | + | 2.15561e9i | 0.327114 | + | 0.789723i | ||||
\(126\) | 1.31819e10 | − | 5.46011e9i | 4.65918 | − | 1.92989i | ||||
\(127\) | 7.29299e8 | + | 7.29299e8i | 0.248765 | + | 0.248765i | 0.820464 | − | 0.571699i | \(-0.193715\pi\) |
−0.571699 | + | 0.820464i | \(0.693715\pi\) | |||||||
\(128\) | −3.79569e9 | − | 3.79569e9i | −1.24982 | − | 1.24982i | ||||
\(129\) | 4.26380e9 | − | 1.76612e9i | 1.35564 | − | 0.561523i | ||||
\(130\) | 8.50152e7 | + | 2.05245e8i | 0.0261067 | + | 0.0630270i | ||||
\(131\) | −5.00330e9 | − | 2.07244e9i | −1.48435 | − | 0.614837i | −0.514270 | − | 0.857628i | \(-0.671937\pi\) |
−0.970079 | + | 0.242791i | \(0.921937\pi\) | |||||||
\(132\) | 6.92398e9i | 1.98506i | ||||||||
\(133\) | 2.52995e9 | − | 6.10783e9i | 0.701099 | − | 1.69260i | ||||
\(134\) | −3.95158e9 | + | 3.95158e9i | −1.05876 | + | 1.05876i | ||||
\(135\) | −8.00358e9 | −2.07387 | ||||||||
\(136\) | −4.76163e9 | − | 5.78553e8i | −1.19352 | − | 0.145017i | ||||
\(137\) | 3.16964e9 | 0.768718 | 0.384359 | − | 0.923184i | \(-0.374423\pi\) | ||||
0.384359 | + | 0.923184i | \(0.374423\pi\) | |||||||
\(138\) | 9.18480e8 | − | 9.18480e8i | 0.215583 | − | 0.215583i | ||||
\(139\) | 2.74708e9 | − | 6.63205e9i | 0.624174 | − | 1.50689i | −0.222586 | − | 0.974913i | \(-0.571450\pi\) |
0.846760 | − | 0.531975i | \(-0.178550\pi\) | |||||||
\(140\) | − | 1.28554e10i | − | 2.82819i | ||||||
\(141\) | −4.98508e9 | − | 2.06489e9i | −1.06215 | − | 0.439958i | ||||
\(142\) | 1.00383e8 | + | 2.42345e8i | 0.0207186 | + | 0.0500191i | ||||
\(143\) | 1.12895e8 | − | 4.67624e7i | 0.0225767 | − | 0.00935158i | ||||
\(144\) | 1.94545e9 | + | 1.94545e9i | 0.377041 | + | 0.377041i | ||||
\(145\) | 5.91981e9 | + | 5.91981e9i | 1.11212 | + | 1.11212i | ||||
\(146\) | −3.14851e9 | + | 1.30415e9i | −0.573478 | + | 0.237542i | ||||
\(147\) | 4.47753e9 | + | 1.08097e10i | 0.790880 | + | 1.90935i | ||||
\(148\) | 2.41120e8 | + | 9.98751e7i | 0.0413100 | + | 0.0171112i | ||||
\(149\) | 9.84251e9i | 1.63594i | 0.575260 | + | 0.817971i | \(0.304901\pi\) | ||||
−0.575260 | + | 0.817971i | \(0.695099\pi\) | |||||||
\(150\) | −1.57142e9 | + | 3.79373e9i | −0.253443 | + | 0.611866i | ||||
\(151\) | 6.99899e9 | − | 6.99899e9i | 1.09557 | − | 1.09557i | 0.100645 | − | 0.994922i | \(-0.467909\pi\) |
0.994922 | − | 0.100645i | \(-0.0320906\pi\) | |||||||
\(152\) | 9.81819e9 | 1.49189 | ||||||||
\(153\) | −1.39152e10 | − | 1.69074e9i | −2.05295 | − | 0.249439i | ||||
\(154\) | −1.11633e10 | −1.59937 | ||||||||
\(155\) | 9.62713e9 | − | 9.62713e9i | 1.33969 | − | 1.33969i | ||||
\(156\) | 3.19221e8 | − | 7.70667e8i | 0.0431550 | − | 0.104185i | ||||
\(157\) | 1.10838e9i | 0.145593i | 0.997347 | + | 0.0727964i | \(0.0231923\pi\) | ||||
−0.997347 | + | 0.0727964i | \(0.976808\pi\) | |||||||
\(158\) | 2.85077e9 | + | 1.18083e9i | 0.363920 | + | 0.150741i | ||||
\(159\) | −7.83918e9 | − | 1.89255e10i | −0.972711 | − | 2.34833i | ||||
\(160\) | −6.59218e9 | + | 2.73057e9i | −0.795223 | + | 0.329392i | ||||
\(161\) | 9.37992e8 | + | 9.37992e8i | 0.110023 | + | 0.110023i | ||||
\(162\) | 1.23754e10 | + | 1.23754e10i | 1.41170 | + | 1.41170i | ||||
\(163\) | −9.29176e9 | + | 3.84877e9i | −1.03099 | + | 0.427049i | −0.833069 | − | 0.553169i | \(-0.813418\pi\) |
−0.197919 | + | 0.980218i | \(0.563418\pi\) | |||||||
\(164\) | −4.78736e9 | − | 1.15577e10i | −0.516772 | − | 1.24760i | ||||
\(165\) | 1.12021e10 | + | 4.64007e9i | 1.17658 | + | 0.487357i | ||||
\(166\) | 2.14405e9i | 0.219153i | ||||||||
\(167\) | 1.84264e6 | − | 4.44852e6i | 0.000183322 | − | 0.000442579i | −0.923788 | − | 0.382905i | \(-0.874924\pi\) |
0.923971 | + | 0.382462i | \(0.124924\pi\) | |||||||
\(168\) | −2.27006e10 | + | 2.27006e10i | −2.19860 | + | 2.19860i | ||||
\(169\) | 1.05898e10 | 0.998612 | ||||||||
\(170\) | −9.79644e9 | + | 1.73663e10i | −0.899597 | + | 1.59473i | ||||
\(171\) | 2.86923e10 | 2.56615 | ||||||||
\(172\) | −1.17487e10 | + | 1.17487e10i | −1.02355 | + | 1.02355i | ||||
\(173\) | −2.79005e9 | + | 6.73578e9i | −0.236813 | + | 0.571716i | −0.996950 | − | 0.0780466i | \(-0.975132\pi\) |
0.760137 | + | 0.649763i | \(0.225132\pi\) | |||||||
\(174\) | − | 4.96277e10i | − | 4.10443i | ||||||
\(175\) | −3.87433e9 | − | 1.60480e9i | −0.312266 | − | 0.129345i | ||||
\(176\) | −8.23767e8 | − | 1.98875e9i | −0.0647139 | − | 0.156233i | ||||
\(177\) | −2.38487e10 | + | 9.87845e9i | −1.82635 | + | 0.756501i | ||||
\(178\) | 1.76031e9 | + | 1.76031e9i | 0.131431 | + | 0.131431i | ||||
\(179\) | 3.10178e9 | + | 3.10178e9i | 0.225825 | + | 0.225825i | 0.810946 | − | 0.585121i | \(-0.198953\pi\) |
−0.585121 | + | 0.810946i | \(0.698953\pi\) | |||||||
\(180\) | 5.15457e10 | − | 2.13509e10i | 3.65987 | − | 1.51597i | ||||
\(181\) | 3.80901e9 | + | 9.19577e9i | 0.263790 | + | 0.636846i | 0.999167 | − | 0.0408127i | \(-0.0129947\pi\) |
−0.735377 | + | 0.677659i | \(0.762995\pi\) | |||||||
\(182\) | 1.24252e9 | + | 5.14668e8i | 0.0839424 | + | 0.0347701i | ||||
\(183\) | − | 2.40770e9i | − | 0.158698i | ||||||
\(184\) | −7.53899e8 | + | 1.82007e9i | −0.0484879 | + | 0.117060i | ||||
\(185\) | 3.23170e8 | − | 3.23170e8i | 0.0202842 | − | 0.0202842i | ||||
\(186\) | −8.07073e10 | −4.94430 | ||||||||
\(187\) | 9.55229e9 | + | 5.38852e9i | 0.571242 | + | 0.322242i | ||||
\(188\) | 1.94258e10 | 1.13415 | ||||||||
\(189\) | −3.42610e10 | + | 3.42610e10i | −1.95309 | + | 1.95309i | ||||
\(190\) | 1.56183e10 | − | 3.77059e10i | 0.869445 | − | 2.09903i | ||||
\(191\) | 3.59313e9i | 0.195354i | 0.995218 | + | 0.0976771i | \(0.0311412\pi\) | ||||
−0.995218 | + | 0.0976771i | \(0.968859\pi\) | |||||||
\(192\) | 4.69346e10 | + | 1.94409e10i | 2.49251 | + | 1.03243i | ||||
\(193\) | 7.09815e9 | + | 1.71365e10i | 0.368246 | + | 0.889024i | 0.994038 | + | 0.109034i | \(0.0347757\pi\) |
−0.625792 | + | 0.779990i | \(0.715224\pi\) | |||||||
\(194\) | 1.98386e10 | − | 8.21743e9i | 1.00555 | − | 0.416513i | ||||
\(195\) | −1.03292e9 | − | 1.03292e9i | −0.0511576 | − | 0.0511576i | ||||
\(196\) | −2.97856e10 | − | 2.97856e10i | −1.44163 | − | 1.44163i | ||||
\(197\) | −2.14241e10 | + | 8.87414e9i | −1.01345 | + | 0.419786i | −0.826713 | − | 0.562623i | \(-0.809792\pi\) |
−0.186740 | + | 0.982409i | \(0.559792\pi\) | |||||||
\(198\) | −1.85406e10 | − | 4.47610e10i | −0.857295 | − | 2.06969i | ||||
\(199\) | −2.17177e10 | − | 8.99576e9i | −0.981691 | − | 0.406630i | −0.166639 | − | 0.986018i | \(-0.553291\pi\) |
−0.815052 | + | 0.579388i | \(0.803291\pi\) | |||||||
\(200\) | − | 6.22788e9i | − | 0.275236i | ||||||
\(201\) | 1.40621e10 | − | 3.39488e10i | 0.607669 | − | 1.46704i | ||||
\(202\) | 1.18955e10 | − | 1.18955e10i | 0.502690 | − | 0.502690i | ||||
\(203\) | 5.06820e10 | 2.09470 | ||||||||
\(204\) | 7.21196e10 | − | 2.00986e10i | 2.91553 | − | 0.812514i | ||||
\(205\) | −2.19071e10 | −0.866350 | ||||||||
\(206\) | −1.94216e10 | + | 1.94216e10i | −0.751419 | + | 0.751419i | ||||
\(207\) | −2.20316e9 | + | 5.31890e9i | −0.0834026 | + | 0.201352i | ||||
\(208\) | 2.59335e8i | 0.00960673i | ||||||||
\(209\) | −2.07401e10 | − | 8.59081e9i | −0.751886 | − | 0.311441i | ||||
\(210\) | 5.10686e10 | + | 1.23291e11i | 1.81204 | + | 4.37465i | ||||
\(211\) | 2.31549e10 | − | 9.59106e9i | 0.804213 | − | 0.333116i | 0.0575705 | − | 0.998341i | \(-0.481665\pi\) |
0.746642 | + | 0.665226i | \(0.231665\pi\) | |||||||
\(212\) | 5.21481e10 | + | 5.21481e10i | 1.77307 | + | 1.77307i | ||||
\(213\) | −1.21963e9 | − | 1.21963e9i | −0.0405994 | − | 0.0405994i | ||||
\(214\) | −4.26569e10 | + | 1.76691e10i | −1.39036 | + | 0.575906i | ||||
\(215\) | 1.11345e10 | + | 2.68812e10i | 0.355385 | + | 0.857976i | ||||
\(216\) | −6.64798e10 | − | 2.75368e10i | −2.07801 | − | 0.860740i | ||||
\(217\) | − | 8.24218e10i | − | 2.52333i | ||||||
\(218\) | 5.08523e9 | − | 1.22768e10i | 0.152495 | − | 0.368156i | ||||
\(219\) | 1.58452e10 | − | 1.58452e10i | 0.465479 | − | 0.465479i | ||||
\(220\) | −4.36523e10 | −1.25633 | ||||||||
\(221\) | −8.14779e8 | − | 1.04016e9i | −0.0229760 | − | 0.0293315i | ||||
\(222\) | −2.70924e9 | −0.0748616 | ||||||||
\(223\) | −2.13526e10 | + | 2.13526e10i | −0.578201 | + | 0.578201i | −0.934407 | − | 0.356207i | \(-0.884070\pi\) |
0.356207 | + | 0.934407i | \(0.384070\pi\) | |||||||
\(224\) | −1.65304e10 | + | 3.99079e10i | −0.438700 | + | 1.05912i | ||||
\(225\) | − | 1.82001e10i | − | 0.473426i | ||||||
\(226\) | −2.46651e10 | − | 1.02166e10i | −0.628919 | − | 0.260507i | ||||
\(227\) | −2.27430e10 | − | 5.49065e10i | −0.568502 | − | 1.37248i | −0.902818 | − | 0.430023i | \(-0.858505\pi\) |
0.334316 | − | 0.942461i | \(-0.391495\pi\) | |||||||
\(228\) | −1.41581e11 | + | 5.86447e10i | −3.46974 | + | 1.43721i | ||||
\(229\) | 2.24166e10 | + | 2.24166e10i | 0.538654 | + | 0.538654i | 0.923134 | − | 0.384479i | \(-0.125619\pi\) |
−0.384479 | + | 0.923134i | \(0.625619\pi\) | |||||||
\(230\) | 5.79056e9 | + | 5.79056e9i | 0.136441 | + | 0.136441i | ||||
\(231\) | 6.78158e10 | − | 2.80902e10i | 1.56703 | − | 0.649084i | ||||
\(232\) | 2.88040e10 | + | 6.95390e10i | 0.652765 | + | 1.57591i | ||||
\(233\) | −6.85760e10 | − | 2.84051e10i | −1.52430 | − | 0.631386i | −0.545853 | − | 0.837881i | \(-0.683794\pi\) |
−0.978448 | + | 0.206495i | \(0.933794\pi\) | |||||||
\(234\) | 5.83687e9i | 0.127265i | ||||||||
\(235\) | 1.30181e10 | − | 3.14285e10i | 0.278447 | − | 0.672231i | ||||
\(236\) | 6.57138e10 | − | 6.57138e10i | 1.37896 | − | 1.37896i | ||||
\(237\) | −2.02895e10 | −0.417738 | ||||||||
\(238\) | 3.24042e10 | + | 1.16276e11i | 0.654645 | + | 2.34905i | ||||
\(239\) | −5.76902e10 | −1.14370 | −0.571850 | − | 0.820358i | \(-0.693774\pi\) | ||||
−0.571850 | + | 0.820358i | \(0.693774\pi\) | |||||||
\(240\) | −1.81959e10 | + | 1.81959e10i | −0.354016 | + | 0.354016i | ||||
\(241\) | −1.17403e10 | + | 2.83437e10i | −0.224183 | + | 0.541227i | −0.995450 | − | 0.0952856i | \(-0.969624\pi\) |
0.771266 | + | 0.636512i | \(0.219624\pi\) | |||||||
\(242\) | − | 5.02159e10i | − | 0.941179i | ||||||
\(243\) | −1.23771e10 | − | 5.12677e9i | −0.227715 | − | 0.0943225i | ||||
\(244\) | 3.31714e9 | + | 8.00829e9i | 0.0599115 | + | 0.144639i | ||||
\(245\) | −6.81500e10 | + | 2.82286e10i | −1.20842 | + | 0.500544i | ||||
\(246\) | 9.18273e10 | + | 9.18273e10i | 1.59869 | + | 1.59869i | ||||
\(247\) | 1.91239e9 | + | 1.91239e9i | 0.0326918 | + | 0.0326918i | ||||
\(248\) | 1.13088e11 | − | 4.68427e10i | 1.89839 | − | 0.786337i | ||||
\(249\) | −5.39508e9 | − | 1.30249e10i | −0.0889408 | − | 0.214722i | ||||
\(250\) | 8.05605e10 | + | 3.33693e10i | 1.30434 | + | 0.540277i | ||||
\(251\) | 6.41373e10i | 1.01995i | 0.860189 | + | 0.509975i | \(0.170345\pi\) | ||||
−0.860189 | + | 0.509975i | \(0.829655\pi\) | |||||||
\(252\) | 1.29255e11 | − | 3.12049e11i | 2.01904 | − | 4.87439i | ||||
\(253\) | 3.18509e9 | − | 3.18509e9i | 0.0488742 | − | 0.0488742i | ||||
\(254\) | 3.85454e10 | 0.581060 | ||||||||
\(255\) | 1.58135e10 | − | 1.30149e11i | 0.234206 | − | 1.92757i | ||||
\(256\) | −9.47673e10 | −1.37905 | ||||||||
\(257\) | −6.50297e9 | + | 6.50297e9i | −0.0929850 | + | 0.0929850i | −0.752069 | − | 0.659084i | \(-0.770944\pi\) |
0.659084 | + | 0.752069i | \(0.270944\pi\) | |||||||
\(258\) | 6.60045e10 | − | 1.59349e11i | 0.927438 | − | 2.23903i | ||||
\(259\) | − | 2.76680e9i | − | 0.0382057i | ||||||
\(260\) | 4.85868e9 | + | 2.01253e9i | 0.0659384 | + | 0.0273126i | ||||
\(261\) | 8.41755e10 | + | 2.03218e11i | 1.12280 | + | 2.71069i | ||||
\(262\) | −1.86986e11 | + | 7.74521e10i | −2.45162 | + | 1.01549i | ||||
\(263\) | 4.80044e10 | + | 4.80044e10i | 0.618701 | + | 0.618701i | 0.945198 | − | 0.326497i | \(-0.105868\pi\) |
−0.326497 | + | 0.945198i | \(0.605868\pi\) | |||||||
\(264\) | 7.70833e10 | + | 7.70833e10i | 0.976658 | + | 0.976658i | ||||
\(265\) | 1.19316e11 | − | 4.94222e10i | 1.48625 | − | 0.615624i | ||||
\(266\) | −9.45505e10 | − | 2.28265e11i | −1.15797 | − | 2.79558i | ||||
\(267\) | −1.51232e10 | − | 6.26424e9i | −0.182114 | − | 0.0754341i | ||||
\(268\) | 1.32291e11i | 1.56648i | ||||||||
\(269\) | −5.21892e10 | + | 1.25996e11i | −0.607708 | + | 1.46714i | 0.257778 | + | 0.966204i | \(0.417010\pi\) |
−0.865486 | + | 0.500933i | \(0.832990\pi\) | |||||||
\(270\) | −2.11505e11 | + | 2.11505e11i | −2.42206 | + | 2.42206i | ||||
\(271\) | −2.89117e10 | −0.325621 | −0.162810 | − | 0.986657i | \(-0.552056\pi\) | ||||
−0.162810 | + | 0.986657i | \(0.552056\pi\) | |||||||
\(272\) | −1.83234e10 | + | 1.43531e10i | −0.202977 | + | 0.158996i | ||||
\(273\) | −8.84324e9 | −0.0963561 | ||||||||
\(274\) | 8.37620e10 | − | 8.37620e10i | 0.897779 | − | 0.897779i | ||||
\(275\) | −5.44933e9 | + | 1.31558e10i | −0.0574574 | + | 0.138714i | ||||
\(276\) | − | 3.07490e10i | − | 0.318963i | ||||||
\(277\) | −1.57641e11 | − | 6.52971e10i | −1.60883 | − | 0.666400i | −0.616203 | − | 0.787587i | \(-0.711330\pi\) |
−0.992630 | + | 0.121187i | \(0.961330\pi\) | |||||||
\(278\) | −1.02665e11 | − | 2.47856e11i | −1.03091 | − | 2.48885i | ||||
\(279\) | 3.30484e11 | − | 1.36891e11i | 3.26536 | − | 1.35256i | ||||
\(280\) | −1.43116e11 | − | 1.43116e11i | −1.39148 | − | 1.39148i | ||||
\(281\) | −5.39003e10 | − | 5.39003e10i | −0.515719 | − | 0.515719i | 0.400554 | − | 0.916273i | \(-0.368818\pi\) |
−0.916273 | + | 0.400554i | \(0.868818\pi\) | |||||||
\(282\) | −1.86305e11 | + | 7.71701e10i | −1.75430 | + | 0.726655i | ||||
\(283\) | 2.99939e10 | + | 7.24117e10i | 0.277968 | + | 0.671073i | 0.999779 | − | 0.0210164i | \(-0.00669024\pi\) |
−0.721811 | + | 0.692090i | \(0.756690\pi\) | |||||||
\(284\) | 5.73694e9 | + | 2.37632e9i | 0.0523296 | + | 0.0216756i | ||||
\(285\) | 2.68360e11i | 2.40944i | ||||||||
\(286\) | 1.74763e9 | − | 4.21915e9i | 0.0154455 | − | 0.0372888i | ||||
\(287\) | −9.37780e10 | + | 9.37780e10i | −0.815892 | + | 0.815892i | ||||
\(288\) | −1.87472e11 | −1.60572 | ||||||||
\(289\) | 2.83983e10 | − | 1.15137e11i | 0.239471 | − | 0.970904i | ||||
\(290\) | 3.12878e11 | 2.59767 | ||||||||
\(291\) | −9.98402e10 | + | 9.98402e10i | −0.816182 | + | 0.816182i | ||||
\(292\) | −3.08727e10 | + | 7.45334e10i | −0.248515 | + | 0.599968i | ||||
\(293\) | − | 4.34293e10i | − | 0.344253i | −0.985075 | − | 0.172127i | \(-0.944936\pi\) | ||
0.985075 | − | 0.172127i | \(-0.0550639\pi\) | |||||||
\(294\) | 4.03986e11 | + | 1.67337e11i | 3.15358 | + | 1.30626i | ||||
\(295\) | −6.22788e10 | − | 1.50354e11i | −0.478786 | − | 1.15589i | ||||
\(296\) | 3.79623e9 | − | 1.57245e9i | 0.0287435 | − | 0.0119059i | ||||
\(297\) | 1.16338e11 | + | 1.16338e11i | 0.867598 | + | 0.867598i | ||||
\(298\) | 2.60102e11 | + | 2.60102e11i | 1.91060 | + | 1.91060i | ||||
\(299\) | −5.01358e8 | + | 2.07669e8i | −0.00362767 | + | 0.00150263i | ||||
\(300\) | 3.71995e10 | + | 8.98076e10i | 0.265150 | + | 0.640129i | ||||
\(301\) | 1.62734e11 | + | 6.74067e10i | 1.14269 | + | 0.473319i | ||||
\(302\) | − | 3.69916e11i | − | 2.55901i | ||||||
\(303\) | −4.23311e10 | + | 1.02196e11i | −0.288515 | + | 0.696536i | ||||
\(304\) | 3.36886e10 | − | 3.36886e10i | 0.226231 | − | 0.226231i | ||||
\(305\) | 1.51794e10 | 0.100439 | ||||||||
\(306\) | −4.12408e11 | + | 3.23048e11i | −2.68893 | + | 2.10630i | ||||
\(307\) | −2.26738e11 | −1.45681 | −0.728404 | − | 0.685148i | \(-0.759738\pi\) | ||||
−0.728404 | + | 0.685148i | \(0.759738\pi\) | |||||||
\(308\) | −1.86863e11 | + | 1.86863e11i | −1.18316 | + | 1.18316i | ||||
\(309\) | 6.91136e10 | − | 1.66855e11i | 0.431271 | − | 1.04118i | ||||
\(310\) | − | 5.08820e11i | − | 3.12922i | ||||||
\(311\) | 2.31370e11 | + | 9.58366e10i | 1.40244 | + | 0.580911i | 0.950385 | − | 0.311077i | \(-0.100690\pi\) |
0.452059 | + | 0.891988i | \(0.350690\pi\) | |||||||
\(312\) | −5.02586e9 | − | 1.21335e10i | −0.0300272 | − | 0.0724921i | ||||
\(313\) | 1.67983e11 | − | 6.95808e10i | 0.989272 | − | 0.409770i | 0.171420 | − | 0.985198i | \(-0.445165\pi\) |
0.817852 | + | 0.575428i | \(0.195165\pi\) | |||||||
\(314\) | 2.92904e10 | + | 2.92904e10i | 0.170037 | + | 0.170037i | ||||
\(315\) | −4.18236e11 | − | 4.18236e11i | −2.39345 | − | 2.39345i | ||||
\(316\) | 6.74852e10 | − | 2.79533e10i | 0.380730 | − | 0.157703i | ||||
\(317\) | 1.18135e11 | + | 2.85204e11i | 0.657073 | + | 1.58631i | 0.802304 | + | 0.596916i | \(0.203607\pi\) |
−0.145231 | + | 0.989398i | \(0.546393\pi\) | |||||||
\(318\) | −7.07292e11 | − | 2.92970e11i | −3.87862 | − | 1.60658i | ||||
\(319\) | − | 1.72098e11i | − | 0.930504i | ||||||
\(320\) | −1.22566e11 | + | 2.95900e11i | −0.653422 | + | 1.57750i | ||||
\(321\) | 2.14676e11 | − | 2.14676e11i | 1.12852 | − | 1.12852i | ||||
\(322\) | 4.95754e10 | 0.256989 | ||||||||
\(323\) | −2.92778e10 | + | 2.40964e11i | −0.149668 | + | 1.23180i | ||||
\(324\) | 4.14306e11 | 2.08866 | ||||||||
\(325\) | 1.21307e9 | − | 1.21307e9i | 0.00603128 | − | 0.00603128i | ||||
\(326\) | −1.43838e11 | + | 3.47256e11i | −0.705335 | + | 1.70283i | ||||
\(327\) | 8.73766e10i | 0.422601i | ||||||||
\(328\) | −1.81966e11 | − | 7.53730e10i | −0.868078 | − | 0.359570i | ||||
\(329\) | −7.88095e10 | − | 1.90263e11i | −0.370849 | − | 0.895308i | ||||
\(330\) | 4.18651e11 | − | 1.73411e11i | 1.94330 | − | 0.804941i | ||||
\(331\) | −1.71743e11 | − | 1.71743e11i | −0.786419 | − | 0.786419i | 0.194487 | − | 0.980905i | \(-0.437696\pi\) |
−0.980905 | + | 0.194487i | \(0.937696\pi\) | |||||||
\(332\) | 3.58894e10 | + | 3.58894e10i | 0.162123 | + | 0.162123i | ||||
\(333\) | 1.10939e10 | − | 4.59525e9i | 0.0494409 | − | 0.0204791i | ||||
\(334\) | −6.88640e7 | − | 1.66252e8i | −0.000302784 | − | 0.000730985i | ||||
\(335\) | 2.14031e11 | + | 8.86544e10i | 0.928484 | + | 0.384591i | ||||
\(336\) | 1.55782e11i | 0.666794i | ||||||||
\(337\) | −4.49530e10 | + | 1.08526e11i | −0.189856 | + | 0.458352i | −0.989932 | − | 0.141546i | \(-0.954793\pi\) |
0.800076 | + | 0.599899i | \(0.204793\pi\) | |||||||
\(338\) | 2.79849e11 | − | 2.79849e11i | 1.16627 | − | 1.16627i | ||||
\(339\) | 1.75546e11 | 0.721926 | ||||||||
\(340\) | 1.26712e11 | + | 4.54679e11i | 0.514236 | + | 1.84522i | ||||
\(341\) | −2.79876e11 | −1.12091 | ||||||||
\(342\) | 7.58232e11 | − | 7.58232e11i | 2.99699 | − | 2.99699i | ||||
\(343\) | −2.60543e10 | + | 6.29005e10i | −0.101638 | + | 0.245375i | ||||
\(344\) | 2.61591e11i | 1.00719i | ||||||||
\(345\) | −4.97480e10 | − | 2.06063e10i | −0.189055 | − | 0.0783093i | ||||
\(346\) | 1.04271e11 | + | 2.51733e11i | 0.391131 | + | 0.944273i | ||||
\(347\) | 2.40585e11 | − | 9.96537e10i | 0.890812 | − | 0.368987i | 0.110132 | − | 0.993917i | \(-0.464873\pi\) |
0.780681 | + | 0.624930i | \(0.214873\pi\) | |||||||
\(348\) | −8.30721e11 | − | 8.30721e11i | −3.03633 | − | 3.03633i | ||||
\(349\) | 3.40320e11 | + | 3.40320e11i | 1.22793 | + | 1.22793i | 0.964746 | + | 0.263182i | \(0.0847719\pi\) |
0.263182 | + | 0.964746i | \(0.415228\pi\) | |||||||
\(350\) | −1.44793e11 | + | 5.99754e10i | −0.515754 | + | 0.213632i | ||||
\(351\) | −7.58530e9 | − | 1.83125e10i | −0.0266742 | − | 0.0643971i | ||||
\(352\) | 1.35513e11 | + | 5.61315e10i | 0.470479 | + | 0.194879i | ||||
\(353\) | 1.13877e11i | 0.390347i | 0.980769 | + | 0.195173i | \(0.0625270\pi\) | ||||
−0.980769 | + | 0.195173i | \(0.937473\pi\) | |||||||
\(354\) | −3.69183e11 | + | 8.91286e11i | −1.24947 | + | 3.01649i | ||||
\(355\) | 7.68916e9 | − | 7.68916e9i | 0.0256951 | − | 0.0256951i | ||||
\(356\) | 5.89319e10 | 0.194458 | ||||||||
\(357\) | −4.89438e11 | − | 6.24824e11i | −1.59474 | − | 2.03587i | ||||
\(358\) | 1.63937e11 | 0.527478 | ||||||||
\(359\) | −3.38214e11 | + | 3.38214e11i | −1.07465 | + | 1.07465i | −0.0776691 | + | 0.996979i | \(0.524748\pi\) |
−0.996979 | + | 0.0776691i | \(0.975252\pi\) | |||||||
\(360\) | 3.36152e11 | − | 8.11543e11i | 1.05481 | − | 2.54654i | ||||
\(361\) | − | 1.74165e11i | − | 0.539732i | ||||||
\(362\) | 3.43669e11 | + | 1.42352e11i | 1.05185 | + | 0.435689i | ||||
\(363\) | 1.26359e11 | + | 3.05057e11i | 0.381966 | + | 0.922148i | ||||
\(364\) | 2.94136e10 | − | 1.21835e10i | 0.0878198 | − | 0.0363762i | ||||
\(365\) | 9.98963e10 | + | 9.98963e10i | 0.294599 | + | 0.294599i | ||||
\(366\) | −6.36267e10 | − | 6.36267e10i | −0.185342 | − | 0.185342i | ||||
\(367\) | −3.49206e11 | + | 1.44646e11i | −1.00481 | + | 0.416206i | −0.823559 | − | 0.567230i | \(-0.808015\pi\) |
−0.181252 | + | 0.983437i | \(0.558015\pi\) | |||||||
\(368\) | 3.65830e9 | + | 8.83192e9i | 0.0103983 | + | 0.0251038i | ||||
\(369\) | −5.31771e11 | − | 2.20267e11i | −1.49316 | − | 0.618486i | ||||
\(370\) | − | 1.70804e10i | − | 0.0473796i | ||||||
\(371\) | 2.99194e11 | − | 7.22318e11i | 0.819917 | − | 1.97946i | ||||
\(372\) | −1.35096e12 | + | 1.35096e12i | −3.65764 | + | 3.65764i | ||||
\(373\) | −6.03744e10 | −0.161496 | −0.0807482 | − | 0.996735i | \(-0.525731\pi\) | ||||
−0.0807482 | + | 0.996735i | \(0.525731\pi\) | |||||||
\(374\) | 3.94831e11 | − | 1.10033e11i | 1.04349 | − | 0.290805i | ||||
\(375\) | −5.73365e11 | −1.49724 | ||||||||
\(376\) | 2.16264e11 | − | 2.16264e11i | 0.558005 | − | 0.558005i | ||||
\(377\) | −7.93435e9 | + | 1.91552e10i | −0.0202291 | + | 0.0488372i | ||||
\(378\) | 1.81079e12i | 4.56199i | ||||||||
\(379\) | 4.95094e11 | + | 2.05075e11i | 1.23257 | + | 0.510547i | 0.901385 | − | 0.433019i | \(-0.142552\pi\) |
0.331184 | + | 0.943566i | \(0.392552\pi\) | |||||||
\(380\) | −3.69726e11 | − | 8.92597e11i | −0.909606 | − | 2.19598i | ||||
\(381\) | −2.34160e11 | + | 9.69921e10i | −0.569311 | + | 0.235816i | ||||
\(382\) | 9.49533e10 | + | 9.49533e10i | 0.228152 | + | 0.228152i | ||||
\(383\) | −4.38024e11 | − | 4.38024e11i | −1.04017 | − | 1.04017i | −0.999159 | − | 0.0410087i | \(-0.986943\pi\) |
−0.0410087 | − | 0.999159i | \(-0.513057\pi\) | |||||||
\(384\) | 1.21870e12 | − | 5.04803e11i | 2.86027 | − | 1.18476i | ||||
\(385\) | 1.77095e11 | + | 4.27545e11i | 0.410802 | + | 0.991765i | ||||
\(386\) | 6.40433e11 | + | 2.65276e11i | 1.46835 | + | 0.608212i | ||||
\(387\) | 7.64462e11i | 1.73243i | ||||||||
\(388\) | 1.94528e11 | − | 4.69632e11i | 0.435752 | − | 1.05200i | ||||
\(389\) | 9.86519e9 | − | 9.86519e9i | 0.0218440 | − | 0.0218440i | −0.696100 | − | 0.717944i | \(-0.745083\pi\) |
0.717944 | + | 0.696100i | \(0.245083\pi\) | |||||||
\(390\) | −5.45925e10 | −0.119493 | ||||||||
\(391\) | −4.24212e10 | − | 2.39301e10i | −0.0917883 | − | 0.0517784i | ||||
\(392\) | −6.63194e11 | −1.41858 | ||||||||
\(393\) | 9.41028e11 | − | 9.41028e11i | 1.98992 | − | 1.98992i | ||||
\(394\) | −3.31649e11 | + | 8.00671e11i | −0.693339 | + | 1.67387i | ||||
\(395\) | − | 1.27915e11i | − | 0.264384i | ||||||
\(396\) | −1.05961e12 | − | 4.38905e11i | −2.16530 | − | 0.896895i | ||||
\(397\) | −3.10626e11 | − | 7.49918e11i | −0.627597 | − | 1.51515i | −0.842600 | − | 0.538539i | \(-0.818976\pi\) |
0.215004 | − | 0.976613i | \(-0.431024\pi\) | |||||||
\(398\) | −8.11644e11 | + | 3.36194e11i | −1.62141 | + | 0.671609i | ||||
\(399\) | 1.14877e12 | + | 1.14877e12i | 2.26911 | + | 2.26911i | ||||
\(400\) | −2.13694e10 | − | 2.13694e10i | −0.0417370 | − | 0.0417370i | ||||
\(401\) | −6.27171e10 | + | 2.59783e10i | −0.121126 | + | 0.0501719i | −0.442423 | − | 0.896806i | \(-0.645881\pi\) |
0.321297 | + | 0.946978i | \(0.395881\pi\) | |||||||
\(402\) | −5.25535e11 | − | 1.26875e12i | −1.00365 | − | 2.42304i | ||||
\(403\) | 3.11513e10 | + | 1.29033e10i | 0.0588306 | + | 0.0243684i | ||||
\(404\) | − | 3.98238e11i | − | 0.743749i | ||||||
\(405\) | 2.77645e11 | − | 6.70294e11i | 0.512793 | − | 1.23799i | ||||
\(406\) | 1.33934e12 | − | 1.33934e12i | 2.44638 | − | 2.44638i | ||||
\(407\) | −9.39507e9 | −0.0169717 | ||||||||
\(408\) | 5.79139e11 | − | 1.02665e12i | 1.03469 | − | 1.83421i | ||||
\(409\) | −3.62017e11 | −0.639697 | −0.319848 | − | 0.947469i | \(-0.603632\pi\) | ||||
−0.319848 | + | 0.947469i | \(0.603632\pi\) | |||||||
\(410\) | −5.78926e11 | + | 5.78926e11i | −1.01180 | + | 1.01180i | ||||
\(411\) | −2.98075e11 | + | 7.19617e11i | −0.515273 | + | 1.24398i | ||||
\(412\) | 6.50198e11i | 1.11175i | ||||||||
\(413\) | −9.10220e11 | − | 3.77025e11i | −1.53947 | − | 0.637669i | ||||
\(414\) | 8.23377e10 | + | 1.98781e11i | 0.137752 | + | 0.332562i | ||||
\(415\) | 8.21155e10 | − | 3.40133e10i | 0.135897 | − | 0.0562902i | ||||
\(416\) | −1.24953e10 | − | 1.24953e10i | −0.0204563 | − | 0.0204563i | ||||
\(417\) | 1.24737e12 | + | 1.24737e12i | 2.02014 | + | 2.02014i | ||||
\(418\) | −7.75108e11 | + | 3.21060e11i | −1.24185 | + | 0.514391i | ||||
\(419\) | 2.00338e11 | + | 4.83660e11i | 0.317542 | + | 0.766614i | 0.999383 | + | 0.0351140i | \(0.0111794\pi\) |
−0.681841 | + | 0.731500i | \(0.738821\pi\) | |||||||
\(420\) | 2.91861e12 | + | 1.20893e12i | 4.57672 | + | 1.89574i | ||||
\(421\) | − | 3.45685e11i | − | 0.536303i | −0.963377 | − | 0.268152i | \(-0.913587\pi\) | ||
0.963377 | − | 0.268152i | \(-0.0864128\pi\) | |||||||
\(422\) | 3.58442e11 | − | 8.65355e11i | 0.550190 | − | 1.32828i | ||||
\(423\) | 6.31999e11 | − | 6.31999e11i | 0.959809 | − | 0.959809i | ||||
\(424\) | 1.16111e12 | 1.74472 | ||||||||
\(425\) | 1.52848e11 | + | 1.85715e10i | 0.227253 | + | 0.0276120i | ||||
\(426\) | −6.44607e10 | −0.0948313 | ||||||||
\(427\) | 6.49784e10 | − | 6.49784e10i | 0.0945896 | − | 0.0945896i | ||||
\(428\) | −4.18273e11 | + | 1.00980e12i | −0.602509 | + | 1.45458i | ||||
\(429\) | 3.00285e10i | 0.0428032i | ||||||||
\(430\) | 1.00462e12 | + | 4.16126e11i | 1.41707 | + | 0.586971i | ||||
\(431\) | −1.38358e11 | − | 3.34025e11i | −0.193133 | − | 0.466264i | 0.797415 | − | 0.603431i | \(-0.206200\pi\) |
−0.990548 | + | 0.137167i | \(0.956200\pi\) | |||||||
\(432\) | −3.22594e11 | + | 1.33623e11i | −0.445635 | + | 0.184588i | ||||
\(433\) | −9.83339e11 | − | 9.83339e11i | −1.34434 | − | 1.34434i | −0.891692 | − | 0.452643i | \(-0.850481\pi\) |
−0.452643 | − | 0.891692i | \(-0.649519\pi\) | |||||||
\(434\) | −2.17811e12 | − | 2.17811e12i | −2.94697 | − | 2.94697i | ||||
\(435\) | −1.90070e12 | + | 7.87298e11i | −2.54515 | + | 1.05423i | ||||
\(436\) | −1.20381e11 | − | 2.90625e11i | −0.159539 | − | 0.385162i | ||||
\(437\) | 9.21054e10 | + | 3.81513e10i | 0.120814 | + | 0.0500429i | ||||
\(438\) | − | 8.37463e11i | − | 1.08726i | ||||||
\(439\) | −2.13618e11 | + | 5.15720e11i | −0.274504 | + | 0.662711i | −0.999665 | − | 0.0258681i | \(-0.991765\pi\) |
0.725162 | + | 0.688579i | \(0.241765\pi\) | |||||||
\(440\) | −4.85972e11 | + | 4.85972e11i | −0.618122 | + | 0.618122i | ||||
\(441\) | −1.93809e12 | −2.44006 | ||||||||
\(442\) | −4.90193e10 | − | 5.95599e9i | −0.0610895 | − | 0.00742256i | ||||
\(443\) | 1.13238e12 | 1.39693 | 0.698463 | − | 0.715646i | \(-0.253868\pi\) | ||||
0.698463 | + | 0.715646i | \(0.253868\pi\) | |||||||
\(444\) | −4.53502e10 | + | 4.53502e10i | −0.0553803 | + | 0.0553803i | ||||
\(445\) | 3.94929e10 | − | 9.53444e10i | 0.0477419 | − | 0.115259i | ||||
\(446\) | 1.12854e12i | 1.35055i | ||||||||
\(447\) | −2.23459e12 | − | 9.25597e11i | −2.64737 | − | 1.09657i | ||||
\(448\) | 7.41992e11 | + | 1.79133e12i | 0.870258 | + | 2.10099i | ||||
\(449\) | 7.64244e11 | − | 3.16560e11i | 0.887409 | − | 0.367577i | 0.108043 | − | 0.994146i | \(-0.465542\pi\) |
0.779366 | + | 0.626570i | \(0.215542\pi\) | |||||||
\(450\) | −4.80962e11 | − | 4.80962e11i | −0.552910 | − | 0.552910i | ||||
\(451\) | 3.18437e11 | + | 3.18437e11i | 0.362434 | + | 0.362434i | ||||
\(452\) | −5.83887e11 | + | 2.41854e11i | −0.657969 | + | 0.272540i | ||||
\(453\) | 9.30821e11 | + | 2.24720e12i | 1.03854 | + | 2.50726i | ||||
\(454\) | −2.05199e12 | − | 8.49964e11i | −2.26686 | − | 0.938964i | ||||
\(455\) | − | 5.57523e10i | − | 0.0609833i | ||||||
\(456\) | −9.23310e11 | + | 2.22907e12i | −1.00001 | + | 2.41425i | ||||
\(457\) | 8.33417e11 | − | 8.33417e11i | 0.893798 | − | 0.893798i | −0.101080 | − | 0.994878i | \(-0.532230\pi\) |
0.994878 | + | 0.101080i | \(0.0322299\pi\) | |||||||
\(458\) | 1.18478e12 | 1.25818 | ||||||||
\(459\) | 8.74067e11 | − | 1.54947e12i | 0.919153 | − | 1.62939i | ||||
\(460\) | 1.93857e11 | 0.201870 | ||||||||
\(461\) | 1.77042e11 | − | 1.77042e11i | 0.182566 | − | 0.182566i | −0.609907 | − | 0.792473i | \(-0.708793\pi\) |
0.792473 | + | 0.609907i | \(0.208793\pi\) | |||||||
\(462\) | 1.04980e12 | − | 2.53445e12i | 1.07206 | − | 2.58818i | ||||
\(463\) | − | 8.92342e10i | − | 0.0902437i | −0.998981 | − | 0.0451218i | \(-0.985632\pi\) | ||
0.998981 | − | 0.0451218i | \(-0.0143676\pi\) | |||||||
\(464\) | 3.37438e11 | + | 1.39772e11i | 0.337959 | + | 0.139987i | ||||
\(465\) | 1.28035e12 | + | 3.09103e12i | 1.26996 | + | 3.06595i | ||||
\(466\) | −2.56286e12 | + | 1.06157e12i | −2.51761 | + | 1.04283i | ||||
\(467\) | 5.62308e11 | + | 5.62308e11i | 0.547077 | + | 0.547077i | 0.925594 | − | 0.378517i | \(-0.123566\pi\) |
−0.378517 | + | 0.925594i | \(0.623566\pi\) | |||||||
\(468\) | 9.77037e10 | + | 9.77037e10i | 0.0941466 | + | 0.0941466i | ||||
\(469\) | 1.29571e12 | − | 5.36699e11i | 1.23660 | − | 0.512216i | ||||
\(470\) | −4.86520e11 | − | 1.17456e12i | −0.459896 | − | 1.11029i | ||||
\(471\) | −2.51640e11 | − | 1.04233e11i | −0.235606 | − | 0.0975911i | ||||
\(472\) | − | 1.46316e12i | − | 1.35691i | ||||||
\(473\) | 2.28889e11 | − | 5.52588e11i | 0.210257 | − | 0.507606i | ||||
\(474\) | −5.36178e11 | + | 5.36178e11i | −0.487872 | + | 0.487872i | ||||
\(475\) | −3.15164e11 | −0.284063 | ||||||||
\(476\) | 2.48876e12 | + | 1.40393e12i | 2.22204 | + | 1.25347i | ||||
\(477\) | 3.39317e12 | 3.00105 | ||||||||
\(478\) | −1.52454e12 | + | 1.52454e12i | −1.33572 | + | 1.33572i | ||||
\(479\) | 2.57741e11 | − | 6.22243e11i | 0.223704 | − | 0.540070i | −0.771683 | − | 0.636007i | \(-0.780585\pi\) |
0.995387 | + | 0.0959372i | \(0.0305848\pi\) | |||||||
\(480\) | − | 1.75344e12i | − | 1.50766i | ||||||
\(481\) | 1.04571e9 | + | 4.33147e8i | 0.000890755 | + | 0.000368963i | ||||
\(482\) | 4.38766e11 | + | 1.05927e12i | 0.370272 | + | 0.893916i | ||||
\(483\) | −3.01166e11 | + | 1.24747e11i | −0.251793 | + | 0.104296i | ||||
\(484\) | −8.40567e11 | − | 8.40567e11i | −0.696255 | − | 0.696255i | ||||
\(485\) | −6.29443e11 | − | 6.29443e11i | −0.516558 | − | 0.516558i | ||||
\(486\) | −4.62564e11 | + | 1.91600e11i | −0.376105 | + | 0.155788i | ||||
\(487\) | −4.97706e11 | − | 1.20157e12i | −0.400952 | − | 0.967984i | −0.987435 | − | 0.158023i | \(-0.949488\pi\) |
0.586483 | − | 0.809961i | \(-0.300512\pi\) | |||||||
\(488\) | 1.26084e11 | + | 5.22256e10i | 0.100640 | + | 0.0416864i | ||||
\(489\) | − | 2.47149e12i | − | 1.95465i | ||||||
\(490\) | −1.05498e12 | + | 2.54694e12i | −0.826723 | + | 1.99589i | ||||
\(491\) | 9.01806e10 | − | 9.01806e10i | 0.0700239 | − | 0.0700239i | −0.671227 | − | 0.741251i | \(-0.734233\pi\) |
0.741251 | + | 0.671227i | \(0.234233\pi\) | |||||||
\(492\) | 3.07421e12 | 2.36532 | ||||||||
\(493\) | −1.79256e12 | + | 4.99559e11i | −1.36667 | + | 0.380869i | ||||
\(494\) | 1.01075e11 | 0.0763610 | ||||||||
\(495\) | −1.42018e12 | + | 1.42018e12i | −1.06321 | + | 1.06321i | ||||
\(496\) | 2.27304e11 | − | 5.48761e11i | 0.168632 | − | 0.407114i | ||||
\(497\) | − | 6.58300e10i | − | 0.0483972i | ||||||
\(498\) | −4.86773e11 | − | 2.01628e11i | −0.354645 | − | 0.146899i | ||||
\(499\) | −1.70208e11 | − | 4.10917e11i | −0.122893 | − | 0.296689i | 0.850446 | − | 0.526063i | \(-0.176332\pi\) |
−0.973339 | + | 0.229373i | \(0.926332\pi\) | |||||||
\(500\) | 1.90708e12 | − | 7.89938e11i | 1.36459 | − | 0.565233i | ||||
\(501\) | 8.36684e8 | + | 8.36684e8i | 0.000593324 | + | 0.000593324i | ||||
\(502\) | 1.69491e12 | + | 1.69491e12i | 1.19119 | + | 1.19119i | ||||
\(503\) | −1.17715e12 | + | 4.87591e11i | −0.819927 | + | 0.339625i | −0.752907 | − | 0.658127i | \(-0.771349\pi\) |
−0.0670198 | + | 0.997752i | \(0.521349\pi\) | |||||||
\(504\) | −2.03501e12 | − | 4.91295e12i | −1.40485 | − | 3.39160i | ||||
\(505\) | −6.44298e11 | − | 2.66877e11i | −0.440834 | − | 0.182600i | ||||
\(506\) | − | 1.68341e11i | − | 0.114159i | ||||||
\(507\) | −9.95871e11 | + | 2.40424e12i | −0.669371 | + | 1.61601i | ||||
\(508\) | 6.45214e11 | − | 6.45214e11i | 0.429850 | − | 0.429850i | ||||
\(509\) | 1.02878e12 | 0.679348 | 0.339674 | − | 0.940543i | \(-0.389683\pi\) | ||||
0.339674 | + | 0.940543i | \(0.389683\pi\) | |||||||
\(510\) | −3.02148e12 | − | 3.85727e12i | −1.97767 | − | 2.52472i | ||||
\(511\) | 8.55254e11 | 0.554882 | ||||||||
\(512\) | −5.60962e11 | + | 5.60962e11i | −0.360760 | + | 0.360760i | ||||
\(513\) | −1.39351e12 | + | 3.36423e12i | −0.888345 | + | 2.14466i | ||||
\(514\) | 3.43700e11i | 0.217193i | ||||||||
\(515\) | 1.05194e12 | + | 4.35727e11i | 0.658958 | + | 0.272949i | ||||
\(516\) | −1.56250e12 | − | 3.77221e12i | −0.970278 | − | 2.34246i | ||||
\(517\) | −6.46066e11 | + | 2.67609e11i | −0.397713 | + | 0.164738i | ||||
\(518\) | −7.31163e10 | − | 7.31163e10i | −0.0446201 | − | 0.0446201i | ||||
\(519\) | −1.26688e12 | − | 1.26688e12i | −0.766445 | − | 0.766445i | ||||
\(520\) | 7.64958e10 | − | 3.16856e10i | 0.0458799 | − | 0.0190041i | ||||
\(521\) | 6.15281e10 | + | 1.48542e11i | 0.0365851 | + | 0.0883241i | 0.941116 | − | 0.338084i | \(-0.109779\pi\) |
−0.904531 | + | 0.426408i | \(0.859779\pi\) | |||||||
\(522\) | 7.59476e12 | + | 3.14585e12i | 4.47710 | + | 1.85447i | ||||
\(523\) | 5.92253e11i | 0.346138i | 0.984910 | + | 0.173069i | \(0.0553684\pi\) | ||||
−0.984910 | + | 0.173069i | \(0.944632\pi\) | |||||||
\(524\) | −1.83349e12 | + | 4.42645e12i | −1.06240 | + | 2.56486i | ||||
\(525\) | 7.28689e11 | − | 7.28689e11i | 0.418625 | − | 0.418625i | ||||
\(526\) | 2.53717e12 | 1.44515 | ||||||||
\(527\) | 8.12410e11 | + | 2.91516e12i | 0.458805 | + | 1.64632i | ||||
\(528\) | 5.28982e11 | 0.296202 | ||||||||
\(529\) | 1.25946e12 | − | 1.25946e12i | 0.699254 | − | 0.699254i | ||||
\(530\) | 1.84703e12 | − | 4.45913e12i | 1.01679 | − | 2.45476i | ||||
\(531\) | − | 4.27586e12i | − | 2.33399i | ||||||
\(532\) | −5.40363e12 | − | 2.23826e12i | −2.92471 | − | 1.21146i | ||||
\(533\) | −2.07622e10 | − | 5.01245e10i | −0.0111430 | − | 0.0269016i | ||||
\(534\) | −5.65192e11 | + | 2.34110e11i | −0.300788 | + | 0.124590i | ||||
\(535\) | 1.35343e12 | + | 1.35343e12i | 0.714237 | + | 0.714237i | ||||
\(536\) | 1.47277e12 | + | 1.47277e12i | 0.770716 | + | 0.770716i | ||||
\(537\) | −9.95904e11 | + | 4.12517e11i | −0.516813 | + | 0.214071i | ||||
\(538\) | 1.95044e12 | + | 4.70878e12i | 1.00372 | + | 2.42319i | ||||
\(539\) | 1.40094e12 | + | 5.80287e11i | 0.714940 | + | 0.296138i | ||||
\(540\) | 7.08081e12i | 3.58353i | ||||||||
\(541\) | 1.21404e12 | − | 2.93094e12i | 0.609318 | − | 1.47102i | −0.254426 | − | 0.967092i | \(-0.581887\pi\) |
0.863744 | − | 0.503931i | \(-0.168113\pi\) | |||||||
\(542\) | −7.64031e11 | + | 7.64031e11i | −0.380289 | + | 0.380289i | ||||
\(543\) | −2.44596e12 | −1.20740 | ||||||||
\(544\) | 1.91298e11 | − | 1.57443e12i | 0.0936517 | − | 0.770777i | ||||
\(545\) | −5.50867e11 | −0.267462 | ||||||||
\(546\) | −2.33695e11 | + | 2.33695e11i | −0.112533 | + | 0.112533i | ||||
\(547\) | −1.33959e12 | + | 3.23405e12i | −0.639776 | + | 1.54456i | 0.187202 | + | 0.982322i | \(0.440058\pi\) |
−0.826978 | + | 0.562235i | \(0.809942\pi\) | |||||||
\(548\) | − | 2.80419e12i | − | 1.32830i | ||||||
\(549\) | 3.68462e11 | + | 1.52622e11i | 0.173108 | + | 0.0717036i | ||||
\(550\) | 2.03655e11 | + | 4.91667e11i | 0.0948994 | + | 0.229107i | ||||
\(551\) | 3.51904e12 | − | 1.45763e12i | 1.62646 | − | 0.673700i | ||||
\(552\) | −3.42322e11 | − | 3.42322e11i | −0.156931 | − | 0.156931i | ||||
\(553\) | −5.47568e11 | − | 5.47568e11i | −0.248986 | − | 0.248986i | ||||
\(554\) | −5.89145e12 | + | 2.44032e12i | −2.65722 | + | 1.10066i | ||||
\(555\) | 4.29796e10 | + | 1.03762e11i | 0.0192284 | + | 0.0464216i | ||||
\(556\) | −5.86741e12 | − | 2.43036e12i | −2.60381 | − | 1.07853i | ||||
\(557\) | 1.35176e12i | 0.595045i | 0.954715 | + | 0.297522i | \(0.0961603\pi\) | ||||
−0.954715 | + | 0.297522i | \(0.903840\pi\) | |||||||
\(558\) | 5.11596e12 | − | 1.23510e13i | 2.23395 | − | 5.39323i | ||||
\(559\) | −5.09527e10 | + | 5.09527e10i | −0.0220706 | + | 0.0220706i | ||||
\(560\) | −9.82132e11 | −0.422011 | ||||||||
\(561\) | −2.12168e12 | + | 1.66196e12i | −0.904373 | + | 0.708415i | ||||
\(562\) | −2.84878e12 | −1.20461 | ||||||||
\(563\) | −9.61325e11 | + | 9.61325e11i | −0.403258 | + | 0.403258i | −0.879379 | − | 0.476122i | \(-0.842042\pi\) |
0.476122 | + | 0.879379i | \(0.342042\pi\) | |||||||
\(564\) | −1.82682e12 | + | 4.41033e12i | −0.760220 | + | 1.83533i | ||||
\(565\) | 1.10673e12i | 0.456903i | ||||||||
\(566\) | 2.70621e12 | + | 1.12095e12i | 1.10838 | + | 0.459105i | ||||
\(567\) | −1.68082e12 | − | 4.05785e12i | −0.682962 | − | 1.64882i | ||||
\(568\) | 9.03232e10 | − | 3.74131e10i | 0.0364109 | − | 0.0150819i | ||||
\(569\) | 1.04097e12 | + | 1.04097e12i | 0.416326 | + | 0.416326i | 0.883935 | − | 0.467609i | \(-0.154885\pi\) |
−0.467609 | + | 0.883935i | \(0.654885\pi\) | |||||||
\(570\) | 7.09178e12 | + | 7.09178e12i | 2.81396 | + | 2.81396i | ||||
\(571\) | 1.92135e12 | − | 7.95848e11i | 0.756386 | − | 0.313305i | 0.0290418 | − | 0.999578i | \(-0.490754\pi\) |
0.727344 | + | 0.686273i | \(0.240754\pi\) | |||||||
\(572\) | −4.13710e10 | − | 9.98784e10i | −0.0161590 | − | 0.0390112i | ||||
\(573\) | −8.15764e11 | − | 3.37901e11i | −0.316132 | − | 0.130946i | ||||
\(574\) | 4.95642e12i | 1.90575i | ||||||||
\(575\) | 2.42002e10 | − | 5.84243e10i | 0.00923236 | − | 0.0222889i | ||||
\(576\) | −5.95028e12 | + | 5.95028e12i | −2.25235 | + | 2.25235i | ||||
\(577\) | −4.38287e12 | −1.64614 | −0.823072 | − | 0.567938i | \(-0.807741\pi\) | ||||
−0.823072 | + | 0.567938i | \(0.807741\pi\) | |||||||
\(578\) | −2.29220e12 | − | 3.79313e12i | −0.854234 | − | 1.41359i | ||||
\(579\) | −4.55808e12 | −1.68550 | ||||||||
\(580\) | 5.23729e12 | − | 5.23729e12i | 1.92168 | − | 1.92168i | ||||
\(581\) | 2.05911e11 | − | 4.97113e11i | 0.0749699 | − | 0.180993i | ||||
\(582\) | 5.27682e12i | 1.90642i | ||||||||
\(583\) | −2.45274e12 | − | 1.01596e12i | −0.879311 | − | 0.364223i | ||||
\(584\) | 4.86065e11 | + | 1.17346e12i | 0.172917 | + | 0.417457i | ||||
\(585\) | 2.23548e11 | − | 9.25966e10i | 0.0789168 | − | 0.0326884i | ||||
\(586\) | −1.14768e12 | − | 1.14768e12i | −0.402051 | − | 0.402051i | ||||
\(587\) | −1.05748e12 | − | 1.05748e12i | −0.367622 | − | 0.367622i | 0.498987 | − | 0.866609i | \(-0.333706\pi\) |
−0.866609 | + | 0.498987i | \(0.833706\pi\) | |||||||
\(588\) | 9.56341e12 | − | 3.96130e12i | 3.29925 | − | 1.36659i | ||||
\(589\) | −2.37049e12 | − | 5.72286e12i | −0.811556 | − | 1.95927i | ||||
\(590\) | −5.61912e12 | − | 2.32752e12i | −1.90912 | − | 0.790785i | ||||
\(591\) | − | 5.69853e12i | − | 1.92141i | ||||||
\(592\) | 7.63032e9 | − | 1.84212e10i | 0.00255326 | − | 0.00616411i | ||||
\(593\) | 2.49943e12 | − | 2.49943e12i | 0.830032 | − | 0.830032i | −0.157489 | − | 0.987521i | \(-0.550340\pi\) |
0.987521 | + | 0.157489i | \(0.0503398\pi\) | |||||||
\(594\) | 6.14879e12 | 2.02652 | ||||||||
\(595\) | 3.93921e12 | − | 3.08567e12i | 1.28849 | − | 1.00931i | ||||
\(596\) | 8.70772e12 | 2.82681 | ||||||||
\(597\) | 4.08469e12 | − | 4.08469e12i | 1.31606 | − | 1.31606i | ||||
\(598\) | −7.76112e9 | + | 1.87370e10i | −0.00248181 | + | 0.00599163i | ||||
\(599\) | 1.01514e12i | 0.322186i | 0.986939 | + | 0.161093i | \(0.0515019\pi\) | ||||
−0.986939 | + | 0.161093i | \(0.948498\pi\) | |||||||
\(600\) | 1.41394e12 | + | 5.85675e11i | 0.445401 | + | 0.184491i | ||||
\(601\) | 1.57746e12 | + | 3.80834e12i | 0.493202 | + | 1.19069i | 0.953082 | + | 0.302713i | \(0.0978924\pi\) |
−0.459880 | + | 0.887981i | \(0.652108\pi\) | |||||||
\(602\) | 6.08179e12 | − | 2.51916e12i | 1.88733 | − | 0.781756i | ||||
\(603\) | 4.30397e12 | + | 4.30397e12i | 1.32569 | + | 1.32569i | ||||
\(604\) | −6.19204e12 | − | 6.19204e12i | −1.89307 | − | 1.89307i | ||||
\(605\) | −1.92323e12 | + | 7.96629e11i | −0.583623 | + | 0.241745i | ||||
\(606\) | 1.58202e12 | + | 3.81934e12i | 0.476525 | + | 1.15043i | ||||
\(607\) | 1.24089e12 | + | 5.13994e11i | 0.371009 | + | 0.153677i | 0.560394 | − | 0.828226i | \(-0.310650\pi\) |
−0.189386 | + | 0.981903i | \(0.560650\pi\) | |||||||
\(608\) | 3.24638e12i | 0.963460i | ||||||||
\(609\) | −4.76617e12 | + | 1.15065e13i | −1.40408 | + | 3.38975i | ||||
\(610\) | 4.01135e11 | − | 4.01135e11i | 0.117302 | − | 0.117302i | ||||
\(611\) | 8.42476e10 | 0.0244552 | ||||||||
\(612\) | −1.49580e12 | + | 1.23108e13i | −0.431016 | + | 3.54737i | ||||
\(613\) | −2.53955e11 | −0.0726413 | −0.0363207 | − | 0.999340i | \(-0.511564\pi\) | ||||
−0.0363207 | + | 0.999340i | \(0.511564\pi\) | |||||||
\(614\) | −5.99187e12 | + | 5.99187e12i | −1.70139 | + | 1.70139i | ||||
\(615\) | 2.06016e12 | − | 4.97368e12i | 0.580716 | − | 1.40197i | ||||
\(616\) | 4.16061e12i | 1.16424i | ||||||||
\(617\) | −7.84990e11 | − | 3.25153e11i | −0.218062 | − | 0.0903244i | 0.270978 | − | 0.962586i | \(-0.412653\pi\) |
−0.489040 | + | 0.872261i | \(0.662653\pi\) | |||||||
\(618\) | −2.58295e12 | − | 6.23579e12i | −0.712308 | − | 1.71966i | ||||
\(619\) | 2.60447e12 | − | 1.07881e12i | 0.713036 | − | 0.295349i | 0.00347556 | − | 0.999994i | \(-0.498894\pi\) |
0.709560 | + | 0.704645i | \(0.248894\pi\) | |||||||
\(620\) | −8.51717e12 | − | 8.51717e12i | −2.31490 | − | 2.31490i | ||||
\(621\) | −5.16651e11 | − | 5.16651e11i | −0.139407 | − | 0.139407i | ||||
\(622\) | 8.64688e12 | − | 3.58166e12i | 2.31634 | − | 0.959461i | ||||
\(623\) | −2.39084e11 | − | 5.77199e11i | −0.0635848 | − | 0.153507i | ||||
\(624\) | −5.88779e10 | − | 2.43880e10i | −0.0155461 | − | 0.00643941i | ||||
\(625\) | − | 4.48806e12i | − | 1.17652i | ||||||
\(626\) | 2.60041e12 | − | 6.27795e12i | 0.676796 | − | 1.63393i | ||||
\(627\) | 3.90082e12 | − | 3.90082e12i | 1.00798 | − | 1.00798i | ||||
\(628\) | 9.80589e11 | 0.251576 | ||||||||
\(629\) | 2.72716e10 | + | 9.78582e10i | 0.00694676 | + | 0.0249270i | ||||
\(630\) | −2.21049e13 | −5.59058 | ||||||||
\(631\) | 3.76881e12 | − | 3.76881e12i | 0.946395 | − | 0.946395i | −0.0522391 | − | 0.998635i | \(-0.516636\pi\) |
0.998635 | + | 0.0522391i | \(0.0166358\pi\) | |||||||
\(632\) | 4.40101e11 | − | 1.06250e12i | 0.109730 | − | 0.264912i | ||||
\(633\) | 6.15890e12i | 1.52471i | ||||||||
\(634\) | 1.06588e13 | + | 4.41502e12i | 2.62003 | + | 1.08525i | ||||
\(635\) | −6.11488e11 | − | 1.47626e12i | −0.149247 | − | 0.360314i | ||||
\(636\) | −1.67435e13 | + | 6.93537e12i | −4.05778 | + | 1.68079i | ||||
\(637\) | −1.29177e11 | − | 1.29177e11i | −0.0310854 | − | 0.0310854i | ||||
\(638\) | −4.54793e12 | − | 4.54793e12i | −1.08673 | − | 1.08673i | ||||
\(639\) | 2.63956e11 | − | 1.09334e11i | 0.0626294 | − | 0.0259420i | ||||
\(640\) | 3.18253e12 | + | 7.68332e12i | 0.749831 | + | 1.81025i | ||||
\(641\) | −7.24300e12 | − | 3.00015e12i | −1.69456 | − | 0.701911i | −0.694713 | − | 0.719287i | \(-0.744469\pi\) |
−0.999849 | + | 0.0173765i | \(0.994469\pi\) | |||||||
\(642\) | − | 1.13462e13i | − | 2.63599i | ||||||
\(643\) | −3.04664e12 | + | 7.35523e12i | −0.702864 | + | 1.69686i | 0.0142414 | + | 0.999899i | \(0.495467\pi\) |
−0.717105 | + | 0.696965i | \(0.754533\pi\) | |||||||
\(644\) | 8.29846e11 | − | 8.29846e11i | 0.190113 | − | 0.190113i | ||||
\(645\) | −7.15005e12 | −1.62664 | ||||||||
\(646\) | 5.59409e12 | + | 7.14150e12i | 1.26381 | + | 1.61340i | ||||
\(647\) | −6.01408e12 | −1.34927 | −0.674636 | − | 0.738150i | \(-0.735700\pi\) | ||||
−0.674636 | + | 0.738150i | \(0.735700\pi\) | |||||||
\(648\) | 4.61238e12 | − | 4.61238e12i | 1.02763 | − | 1.02763i | ||||
\(649\) | −1.28025e12 | + | 3.09079e12i | −0.283265 | + | 0.683861i | ||||
\(650\) | − | 6.41138e10i | − | 0.0140877i | ||||||
\(651\) | 1.87126e13 | + | 7.75101e12i | 4.08338 | + | 1.69139i | ||||
\(652\) | 3.40503e12 | + | 8.22047e12i | 0.737916 | + | 1.78149i | ||||
\(653\) | 3.68774e12 | − | 1.52751e12i | 0.793689 | − | 0.328757i | 0.0512635 | − | 0.998685i | \(-0.483675\pi\) |
0.742426 | + | 0.669928i | \(0.233675\pi\) | |||||||
\(654\) | 2.30905e12 | + | 2.30905e12i | 0.493552 | + | 0.493552i | ||||
\(655\) | 5.93272e12 | + | 5.93272e12i | 1.25941 | + | 1.25941i | ||||
\(656\) | −8.82993e11 | + | 3.65748e11i | −0.186162 | + | 0.0771106i | ||||
\(657\) | 1.42045e12 | + | 3.42928e12i | 0.297429 | + | 0.718057i | ||||
\(658\) | −7.11061e12 | − | 2.94531e12i | −1.47873 | − | 0.612512i | ||||
\(659\) | 5.58329e12i | 1.15320i | 0.817026 | + | 0.576601i | \(0.195621\pi\) | ||||
−0.817026 | + | 0.576601i | \(0.804379\pi\) | |||||||
\(660\) | 4.10509e12 | − | 9.91057e12i | 0.842123 | − | 2.03306i | ||||
\(661\) | −5.13568e12 | + | 5.13568e12i | −1.04638 | + | 1.04638i | −0.0475142 | + | 0.998871i | \(0.515130\pi\) |
−0.998871 | + | 0.0475142i | \(0.984870\pi\) | |||||||
\(662\) | −9.07710e12 | −1.83690 | ||||||||
\(663\) | 3.12774e11 | − | 8.71655e10i | 0.0628667 | − | 0.0175200i | ||||
\(664\) | 7.99098e11 | 0.159530 | ||||||||
\(665\) | −7.24243e12 | + | 7.24243e12i | −1.43611 | + | 1.43611i | ||||
\(666\) | 1.71736e11 | − | 4.14608e11i | 0.0338242 | − | 0.0816589i | ||||
\(667\) | 7.64277e11i | 0.149515i | ||||||||
\(668\) | −3.93563e9 | − | 1.63019e9i | −0.000764751 | − | 0.000316770i | ||||
\(669\) | −2.83976e12 | − | 6.85579e12i | −0.548105 | − | 1.32324i | ||||
\(670\) | 7.99887e12 | − | 3.31324e12i | 1.53353 | − | 0.635208i | ||||
\(671\) | −2.20644e11 | − | 2.20644e11i | −0.0420185 | − | 0.0420185i | ||||
\(672\) | −7.50594e12 | − | 7.50594e12i | −1.41985 | − | 1.41985i | ||||
\(673\) | 2.05388e12 | − | 8.50745e11i | 0.385929 | − | 0.159857i | −0.181279 | − | 0.983432i | \(-0.558024\pi\) |
0.567208 | + | 0.823575i | \(0.308024\pi\) | |||||||
\(674\) | 1.68001e12 | + | 4.05589e12i | 0.313575 | + | 0.757037i | ||||
\(675\) | 2.13400e12 | + | 8.83932e11i | 0.395665 | + | 0.163890i | ||||
\(676\) | − | 9.36883e12i | − | 1.72554i | ||||||
\(677\) | 3.66512e11 | − | 8.84838e11i | 0.0670562 | − | 0.161888i | −0.886799 | − | 0.462156i | \(-0.847076\pi\) |
0.953855 | + | 0.300268i | \(0.0970760\pi\) | |||||||
\(678\) | 4.63904e12 | − | 4.63904e12i | 0.843131 | − | 0.843131i | ||||
\(679\) | −5.38892e12 | −0.972944 | ||||||||
\(680\) | 6.47250e12 | + | 3.65118e12i | 1.16087 | + | 0.654853i | ||||
\(681\) | 1.46044e13 | 2.60209 | ||||||||
\(682\) | −7.39609e12 | + | 7.39609e12i | −1.30910 | + | 1.30910i | ||||
\(683\) | 1.91863e12 | − | 4.63199e12i | 0.337364 | − | 0.814468i | −0.660603 | − | 0.750735i | \(-0.729699\pi\) |
0.997967 | − | 0.0637328i | \(-0.0203005\pi\) | |||||||
\(684\) | − | 2.53842e13i | − | 4.43415i | ||||||
\(685\) | −4.53683e12 | − | 1.87922e12i | −0.787308 | − | 0.326114i | ||||
\(686\) | 9.73713e11 | + | 2.35075e12i | 0.167870 | + | 0.405273i | ||||
\(687\) | −7.19742e12 | + | 2.98127e12i | −1.23274 | + | 0.510617i | ||||
\(688\) | 8.97582e11 | + | 8.97582e11i | 0.152731 | + | 0.152731i | ||||
\(689\) | 2.26160e11 | + | 2.26160e11i | 0.0382323 | + | 0.0382323i | ||||
\(690\) | −1.85921e12 | + | 7.70108e11i | −0.312253 | + | 0.129339i | ||||
\(691\) | −1.06373e12 | − | 2.56806e12i | −0.177492 | − | 0.428504i | 0.809947 | − | 0.586503i | \(-0.199496\pi\) |
−0.987439 | + | 0.157999i | \(0.949496\pi\) | |||||||
\(692\) | 5.95918e12 | + | 2.46837e12i | 0.987891 | + | 0.409198i | ||||
\(693\) | 1.21588e13i | 2.00258i | ||||||||
\(694\) | 3.72431e12 | − | 8.99128e12i | 0.609436 | − | 1.47131i | ||||
\(695\) | −7.86403e12 | + | 7.86403e12i | −1.27854 | + | 1.27854i | ||||
\(696\) | −1.84965e13 | −2.98777 | ||||||||
\(697\) | 2.39247e12 | − | 4.24116e12i | 0.383971 | − | 0.680671i | ||||
\(698\) | 1.79868e13 | 2.86817 | ||||||||
\(699\) | 1.28979e13 | − | 1.28979e13i | 2.04348 | − | 2.04348i | ||||
\(700\) | −1.41977e12 | + | 3.42764e12i | −0.223500 | + | 0.539577i | ||||
\(701\) | 2.98928e12i | 0.467558i | 0.972290 | + | 0.233779i | \(0.0751092\pi\) | ||||
−0.972290 | + | 0.233779i | \(0.924891\pi\) | |||||||
\(702\) | −6.84386e11 | − | 2.83482e11i | −0.106361 | − | 0.0440563i | ||||
\(703\) | −7.95742e10 | − | 1.92109e11i | −0.0122878 | − | 0.0296653i | ||||
\(704\) | 6.08272e12 | − | 2.51954e12i | 0.933298 | − | 0.386585i | ||||
\(705\) | 5.91112e12 | + | 5.91112e12i | 0.901195 | + | 0.901195i | ||||
\(706\) | 3.00936e12 | + | 3.00936e12i | 0.455883 | + | 0.455883i | ||||
\(707\) | −3.90047e12 | + | 1.61563e12i | −0.587124 | + | 0.243195i | ||||
\(708\) | 8.73952e12 | + | 2.10991e13i | 1.30719 | + | 3.15583i | ||||
\(709\) | 1.50245e12 | + | 6.22333e11i | 0.223301 | + | 0.0924943i | 0.491529 | − | 0.870861i | \(-0.336438\pi\) |
−0.268228 | + | 0.963355i | \(0.586438\pi\) | |||||||
\(710\) | − | 4.06393e11i | − | 0.0600183i | ||||||
\(711\) | 1.28613e12 | − | 3.10500e12i | 0.188744 | − | 0.455667i | ||||
\(712\) | 6.56077e11 | − | 6.56077e11i | 0.0956742 | − | 0.0956742i | ||||
\(713\) | 1.24291e12 | 0.180110 | ||||||||
\(714\) | −2.94459e13 | − | 3.57777e12i | −4.24017 | − | 0.515193i | ||||
\(715\) | −1.89315e11 | −0.0270899 | ||||||||
\(716\) | 2.74416e12 | − | 2.74416e12i | 0.390212 | − | 0.390212i | ||||
\(717\) | 5.42523e12 | − | 1.30977e13i | 0.766624 | − | 1.85079i | ||||
\(718\) | 1.78755e13i | 2.51014i | ||||||||
\(719\) | −2.95985e12 | − | 1.22601e12i | −0.413038 | − | 0.171086i | 0.166481 | − | 0.986045i | \(-0.446760\pi\) |
−0.579519 | + | 0.814959i | \(0.696760\pi\) | |||||||
\(720\) | −1.63118e12 | − | 3.93802e12i | −0.226207 | − | 0.546112i | ||||
\(721\) | 6.36826e12 | − | 2.63782e12i | 0.877631 | − | 0.363527i | ||||
\(722\) | −4.60255e12 | − | 4.60255e12i | −0.630349 | − | 0.630349i | ||||
\(723\) | −5.33092e12 | − | 5.33092e12i | −0.725571 | − | 0.725571i | ||||
\(724\) | 8.13554e12 | − | 3.36985e12i | 1.10043 | − | 0.455814i | ||||
\(725\) | −9.24608e11 | − | 2.23220e12i | −0.124290 | − | 0.300063i | ||||
\(726\) | 1.14007e13 | + | 4.72234e12i | 1.52306 | + | 0.630874i | ||||
\(727\) | − | 1.01002e13i | − | 1.34099i | −0.741914 | − | 0.670495i | \(-0.766082\pi\) | ||
0.741914 | − | 0.670495i | \(-0.233918\pi\) | |||||||
\(728\) | 1.91819e11 | − | 4.63093e11i | 0.0253105 | − | 0.0611050i | ||||
\(729\) | −4.18986e12 | + | 4.18986e12i | −0.549447 | + | 0.549447i | ||||
\(730\) | 5.27979e12 | 0.688120 | ||||||||
\(731\) | −6.42012e12 | − | 7.80064e11i | −0.831601 | − | 0.101042i | ||||
\(732\) | −2.13010e12 | −0.274221 | ||||||||
\(733\) | −1.06619e13 | + | 1.06619e13i | −1.36417 | + | 1.36417i | −0.495643 | + | 0.868527i | \(0.665067\pi\) |
−0.868527 | + | 0.495643i | \(0.834933\pi\) | |||||||
\(734\) | −5.40578e12 | + | 1.30507e13i | −0.687426 | + | 1.65959i | ||||
\(735\) | − | 1.81270e13i | − | 2.29104i | ||||||
\(736\) | −6.01807e11 | − | 2.49276e11i | −0.0755974 | − | 0.0313135i | ||||
\(737\) | −1.82244e12 | − | 4.39976e12i | −0.227536 | − | 0.549320i | ||||
\(738\) | −1.98736e13 | + | 8.23192e12i | −2.46617 | + | 1.02152i | ||||
\(739\) | −3.16247e12 | − | 3.16247e12i | −0.390056 | − | 0.390056i | 0.484652 | − | 0.874707i | \(-0.338946\pi\) |
−0.874707 | + | 0.484652i | \(0.838946\pi\) | |||||||
\(740\) | −2.85911e11 | − | 2.85911e11i | −0.0350500 | − | 0.0350500i | ||||
\(741\) | −6.14020e11 | + | 2.54335e11i | −0.0748170 | + | 0.0309902i | ||||
\(742\) | −1.11816e13 | − | 2.69948e13i | −1.35421 | − | 3.26936i | ||||
\(743\) | 1.22180e13 | + | 5.06085e12i | 1.47079 | + | 0.609220i | 0.967038 | − | 0.254631i | \(-0.0819541\pi\) |
0.503748 | + | 0.863851i | \(0.331954\pi\) | |||||||
\(744\) | 3.00800e13i | 3.59915i | ||||||||
\(745\) | 5.83544e12 | − | 1.40880e13i | 0.694017 | − | 1.67551i | ||||
\(746\) | −1.59548e12 | + | 1.59548e12i | −0.188610 | + | 0.188610i | ||||
\(747\) | 2.33525e12 | 0.274404 | ||||||||
\(748\) | 4.76725e12 | − | 8.45096e12i | 0.556815 | − | 0.987072i | ||||
\(749\) | 1.15872e13 | 1.34528 | ||||||||
\(750\) | −1.51519e13 | + | 1.51519e13i | −1.74861 | + | 1.74861i | ||||
\(751\) | 1.78450e10 | − | 4.30817e10i | 0.00204709 | − | 0.00494212i | −0.922853 | − | 0.385153i | \(-0.874149\pi\) |
0.924900 | + | 0.380211i | \(0.124149\pi\) | |||||||
\(752\) | − | 1.48411e12i | − | 0.169233i | ||||||
\(753\) | −1.45614e13 | − | 6.03152e12i | −1.65054 | − | 0.683674i | ||||
\(754\) | 2.96527e11 | + | 7.15879e11i | 0.0334113 | + | 0.0806619i | ||||
\(755\) | −1.41675e13 | + | 5.86837e12i | −1.58684 | + | 0.657289i | ||||
\(756\) | 3.03109e13 | + | 3.03109e13i | 3.37482 | + | 3.37482i | ||||
\(757\) | 6.01218e12 | + | 6.01218e12i | 0.665427 | + | 0.665427i | 0.956654 | − | 0.291227i | \(-0.0940635\pi\) |
−0.291227 | + | 0.956654i | \(0.594064\pi\) | |||||||
\(758\) | 1.85029e13 | − | 7.66416e12i | 2.03577 | − | 0.843243i | ||||
\(759\) | 4.23597e11 | + | 1.02265e12i | 0.0463303 | + | 0.111851i | ||||
\(760\) | −1.40532e13 | − | 5.82102e12i | −1.52797 | − | 0.632904i | ||||
\(761\) | − | 1.78762e12i | − | 0.193217i | −0.995322 | − | 0.0966083i | \(-0.969201\pi\) | ||
0.995322 | − | 0.0966083i | \(-0.0307994\pi\) | |||||||
\(762\) | −3.62484e12 | + | 8.75114e12i | −0.389486 | + | 0.940302i | ||||
\(763\) | −2.35810e12 | + | 2.35810e12i | −0.251884 | + | 0.251884i | ||||
\(764\) | 3.17886e12 | 0.337560 | ||||||||
\(765\) | 1.89150e13 | + | 1.06701e13i | 1.99677 | + | 1.12639i | ||||
\(766\) | −2.31508e13 | −2.42960 | ||||||||
\(767\) | 2.84993e11 | − | 2.84993e11i | 0.0297341 | − | 0.0297341i | ||||
\(768\) | 8.91199e12 | − | 2.15154e13i | 0.924377 | − | 2.23164i | ||||
\(769\) | − | 9.44034e12i | − | 0.973462i | −0.873552 | − | 0.486731i | \(-0.838189\pi\) | ||
0.873552 | − | 0.486731i | \(-0.161811\pi\) | |||||||
\(770\) | 1.59784e13 | + | 6.61849e12i | 1.63805 | + | 0.678501i | ||||
\(771\) | −8.64854e11 | − | 2.08794e12i | −0.0881451 | − | 0.212801i | ||||
\(772\) | 1.51607e13 | − | 6.27977e12i | 1.53618 | − | 0.636306i | ||||
\(773\) | 7.61398e11 | + | 7.61398e11i | 0.0767016 | + | 0.0767016i | 0.744417 | − | 0.667715i | \(-0.232728\pi\) |
−0.667715 | + | 0.744417i | \(0.732728\pi\) | |||||||
\(774\) | 2.02020e13 | + | 2.02020e13i | 2.02330 | + | 2.02330i | ||||
\(775\) | −3.63013e12 | + | 1.50365e12i | −0.361463 | + | 0.149723i | ||||
\(776\) | −3.06268e12 | − | 7.39396e12i | −0.303196 | − | 0.731980i | ||||
\(777\) | 6.28158e11 | + | 2.60192e11i | 0.0618264 | + | 0.0256093i | ||||
\(778\) | − | 5.21402e11i | − | 0.0510228i | ||||||
\(779\) | −3.81427e12 | + | 9.20846e12i | −0.371102 | + | 0.895919i | ||||
\(780\) | −9.13828e11 | + | 9.13828e11i | −0.0883972 | + | 0.0883972i | ||||
\(781\) | −2.23536e11 | −0.0214990 | ||||||||
\(782\) | −1.75342e12 | + | 4.88652e11i | −0.167670 | + | 0.0467271i | ||||
\(783\) | −2.79159e13 | −2.65414 | ||||||||
\(784\) | −2.27558e12 | + | 2.27558e12i | −0.215114 | + | 0.215114i | ||||
\(785\) | 6.57137e11 | − | 1.58647e12i | 0.0617650 | − | 0.149114i | ||||
\(786\) | − | 4.97359e13i | − | 4.64803i | ||||||
\(787\) | 6.21258e11 | + | 2.57334e11i | 0.0577279 | + | 0.0239117i | 0.411361 | − | 0.911473i | \(-0.365054\pi\) |
−0.353633 | + | 0.935384i | \(0.615054\pi\) | |||||||
\(788\) | 7.85100e12 | + | 1.89540e13i | 0.725365 | + | 1.75119i | ||||
\(789\) | −1.54130e13 | + | 6.38429e12i | −1.41593 | + | 0.586497i | ||||
\(790\) | −3.38034e12 | − | 3.38034e12i | −0.308772 | − | 0.308772i | ||||
\(791\) | 4.73759e12 | + | 4.73759e12i | 0.430292 | + | 0.430292i | ||||
\(792\) | −1.66826e13 | + | 6.91018e12i | −1.50661 | + | 0.624059i | ||||
\(793\) | 1.43861e10 | + | 3.47311e10i | 0.00129185 | + | 0.00311881i | ||||
\(794\) | −2.80263e13 | − | 1.16089e13i | −2.50250 | − | 1.03657i | ||||
\(795\) | 3.17365e13i | 2.81778i | ||||||||
\(796\) | −7.95859e12 | + | 1.92137e13i | −0.702631 | + | 1.69630i | ||||
\(797\) | 5.63552e12 | − | 5.63552e12i | 0.494734 | − | 0.494734i | −0.415060 | − | 0.909794i | \(-0.636240\pi\) |
0.909794 | + | 0.415060i | \(0.136240\pi\) | |||||||
\(798\) | 6.07157e13 | 5.30014 | ||||||||
\(799\) | 4.66277e12 | + | 5.95256e12i | 0.404747 | + | 0.516706i | ||||
\(800\) | 2.05925e12 | 0.177748 | ||||||||
\(801\) | 1.91729e12 | − | 1.91729e12i | 0.164567 | − | 0.164567i | ||||
\(802\) | −9.70874e11 | + | 2.34390e12i | −0.0828664 | + | 0.200057i | ||||
\(803\) | − | 2.90414e12i | − | 0.246489i | ||||||
\(804\) | −3.00347e13 | − | 1.24408e13i | −2.53496 | − | 1.05002i | ||||
\(805\) | −7.86468e11 | − | 1.89870e12i | −0.0660085 | − | 0.159359i | ||||
\(806\) | 1.16420e12 | − | 4.82228e11i | 0.0971674 | − | 0.0402481i | ||||
\(807\) | −2.36975e13 | − | 2.36975e13i | −1.96685 | − | 1.96685i | ||||
\(808\) | −4.43350e12 | − | 4.43350e12i | −0.365928 | − | 0.365928i | ||||
\(809\) | 1.58742e12 | − | 6.57532e11i | 0.130294 | − | 0.0539695i | −0.316584 | − | 0.948565i | \(-0.602536\pi\) |
0.446878 | + | 0.894595i | \(0.352536\pi\) | |||||||
\(810\) | −1.03763e13 | − | 2.50506e13i | −0.846954 | − | 2.04473i | ||||
\(811\) | −1.64977e13 | − | 6.83357e12i | −1.33915 | − | 0.554694i | −0.405899 | − | 0.913918i | \(-0.633041\pi\) |
−0.933251 | + | 0.359224i | \(0.883041\pi\) | |||||||
\(812\) | − | 4.48386e13i | − | 3.61951i | ||||||
\(813\) | 2.71888e12 | − | 6.56395e12i | 0.218264 | − | 0.526936i | ||||
\(814\) | −2.48277e11 | + | 2.48277e11i | −0.0198211 | + | 0.0198211i | ||||
\(815\) | 1.55815e13 | 1.23709 | ||||||||
\(816\) | −1.53551e12 | − | 5.50983e12i | −0.121240 | − | 0.435044i | ||||
\(817\) | 1.32379e13 | 1.03949 | ||||||||
\(818\) | −9.56680e12 | + | 9.56680e12i | −0.747096 | + | 0.747096i | ||||
\(819\) | 5.60564e11 | − | 1.35332e12i | 0.0435359 | − | 0.105105i | ||||
\(820\) | 1.93814e13i | 1.49700i | ||||||||
\(821\) | −1.34764e13 | − | 5.58210e12i | −1.03521 | − | 0.428799i | −0.200621 | − | 0.979669i | \(-0.564296\pi\) |
−0.834591 | + | 0.550870i | \(0.814296\pi\) | |||||||
\(822\) | 1.11398e13 | + | 2.68939e13i | 0.851049 | + | 2.05461i | ||||
\(823\) | 8.89000e12 | − | 3.68236e12i | 0.675464 | − | 0.279786i | −0.0184652 | − | 0.999830i | \(-0.505878\pi\) |
0.693929 | + | 0.720043i | \(0.255878\pi\) | |||||||
\(824\) | 7.23853e12 | + | 7.23853e12i | 0.546988 | + | 0.546988i | ||||
\(825\) | −2.47437e12 | − | 2.47437e12i | −0.185961 | − | 0.185961i | ||||
\(826\) | −3.40172e13 | + | 1.40904e13i | −2.54266 | + | 1.05320i | ||||
\(827\) | 9.39100e12 | + | 2.26719e13i | 0.698131 | + | 1.68544i | 0.727719 | + | 0.685875i | \(0.240580\pi\) |
−0.0295886 | + | 0.999562i | \(0.509420\pi\) | |||||||
\(828\) | 4.70566e12 | + | 1.94915e12i | 0.347924 | + | 0.144115i | ||||
\(829\) | 8.58781e12i | 0.631520i | 0.948839 | + | 0.315760i | \(0.102259\pi\) | ||||
−0.948839 | + | 0.315760i | \(0.897741\pi\) | |||||||
\(830\) | 1.27116e12 | − | 3.06886e12i | 0.0929716 | − | 0.224453i | ||||
\(831\) | 2.96494e13 | − | 2.96494e13i | 2.15681 | − | 2.15681i | ||||
\(832\) | −7.93191e11 | −0.0573882 | ||||||||
\(833\) | 1.97764e12 | − | 1.62765e13i | 0.142313 | − | 1.17127i | ||||
\(834\) | 6.59267e13 | 4.71861 | ||||||||
\(835\) | −5.27488e9 | + | 5.27488e9i | −0.000375512 | + | 0.000375512i | ||||
\(836\) | −7.60034e12 | + | 1.83488e13i | −0.538152 | + | 1.29921i | ||||
\(837\) | 4.53984e13i | 3.19725i | ||||||||
\(838\) | 1.80756e13 | + | 7.48715e12i | 1.26618 | + | 0.524467i | ||||
\(839\) | 6.37635e12 | + | 1.53939e13i | 0.444266 | + | 1.07255i | 0.974437 | + | 0.224662i | \(0.0721278\pi\) |
−0.530171 | + | 0.847891i | \(0.677872\pi\) | |||||||
\(840\) | 4.59510e13 | − | 1.90335e13i | 3.18448 | − | 1.31905i | ||||
\(841\) | 1.03898e13 | + | 1.03898e13i | 0.716184 | + | 0.716184i | ||||
\(842\) | −9.13518e12 | − | 9.13518e12i | −0.626344 | − | 0.626344i | ||||
\(843\) | 1.73061e13 | − | 7.16840e12i | 1.18025 | − | 0.488876i | ||||
\(844\) | −8.48526e12 | − | 2.04852e13i | −0.575604 | − | 1.38963i | ||||
\(845\) | −1.51576e13 | − | 6.27847e12i | −1.02276 | − | 0.423642i | ||||
\(846\) | − | 3.34029e13i | − | 2.24191i | ||||||
\(847\) | −4.82266e12 | + | 1.16429e13i | −0.321967 | + | 0.777297i | ||||
\(848\) | 3.98404e12 | − | 3.98404e12i | 0.264571 | − | 0.264571i | ||||
\(849\) | −1.92606e13 | −1.27229 | ||||||||
\(850\) | 4.53000e12 | − | 3.54845e12i | 0.297655 | − | 0.233159i | ||||
\(851\) | 4.17229e10 | 0.00272704 | ||||||||
\(852\) | −1.07901e12 | + | 1.07901e12i | −0.0701533 | + | 0.0701533i | ||||
\(853\) | −4.71797e12 | + | 1.13902e13i | −0.305130 | + | 0.736648i | 0.694720 | + | 0.719281i | \(0.255528\pi\) |
−0.999849 | + | 0.0173673i | \(0.994472\pi\) | |||||||
\(854\) | − | 3.43429e12i | − | 0.220941i | ||||||
\(855\) | −4.10684e13 | − | 1.70111e13i | −2.62821 | − | 1.08864i | ||||
\(856\) | 6.58536e12 | + | 1.58985e13i | 0.419225 | + | 1.01210i | ||||
\(857\) | −3.41112e12 | + | 1.41293e12i | −0.216015 | + | 0.0894763i | −0.488067 | − | 0.872806i | \(-0.662298\pi\) |
0.272052 | + | 0.962283i | \(0.412298\pi\) | |||||||
\(858\) | 7.93545e11 | + | 7.93545e11i | 0.0499895 | + | 0.0499895i | ||||
\(859\) | 2.16510e13 | + | 2.16510e13i | 1.35678 | + | 1.35678i | 0.877863 | + | 0.478912i | \(0.158969\pi\) |
0.478912 | + | 0.877863i | \(0.341031\pi\) | |||||||
\(860\) | 2.37819e13 | − | 9.85079e12i | 1.48253 | − | 0.614084i | ||||
\(861\) | −1.24719e13 | − | 3.01098e13i | −0.773425 | − | 1.86721i | ||||
\(862\) | −1.24834e13 | − | 5.17078e12i | −0.770103 | − | 0.318987i | ||||
\(863\) | 1.76323e13i | 1.08208i | 0.840996 | + | 0.541042i | \(0.181970\pi\) | ||||
−0.840996 | + | 0.541042i | \(0.818030\pi\) | |||||||
\(864\) | 9.10504e12 | − | 2.19815e13i | 0.555866 | − | 1.34198i | ||||
\(865\) | 7.98703e12 | − | 7.98703e12i | 0.485079 | − | 0.485079i | ||||
\(866\) | −5.19721e13 | −3.14007 | ||||||||
\(867\) | 2.34696e13 | + | 1.72750e13i | 1.41065 | + | 1.03832i | ||||
\(868\) | −7.29190e13 | −4.36016 | ||||||||
\(869\) | −1.85935e12 | + | 1.85935e12i | −0.110604 | + | 0.110604i | ||||
\(870\) | −2.94233e13 | + | 7.10341e13i | −1.74122 | + | 4.20369i | ||||
\(871\) | 5.73733e11i | 0.0337776i | ||||||||
\(872\) | −4.57564e12 | − | 1.89529e12i | −0.267996 | − | 0.111007i | ||||
\(873\) | −8.95024e12 | − | 2.16078e13i | −0.521519 | − | 1.25906i | ||||
\(874\) | 3.44221e12 | − | 1.42581e12i | 0.199543 | − | 0.0826533i | ||||
\(875\) | −1.54738e13 | − | 1.54738e13i | −0.892404 | − | 0.892404i | ||||
\(876\) | −1.40183e13 | − | 1.40183e13i | −0.804319 | − | 0.804319i | ||||
\(877\) | 7.96162e12 | − | 3.29781e12i | 0.454468 | − | 0.188247i | −0.143694 | − | 0.989622i | \(-0.545898\pi\) |
0.598162 | + | 0.801375i | \(0.295898\pi\) | |||||||
\(878\) | 7.98346e12 | + | 1.92738e13i | 0.453383 | + | 1.09456i | ||||
\(879\) | 9.85994e12 | + | 4.08412e12i | 0.557089 | + | 0.230754i | ||||
\(880\) | 3.33497e12i | 0.187465i | ||||||||
\(881\) | −5.11183e12 | + | 1.23411e13i | −0.285881 | + | 0.690178i | −0.999951 | − | 0.00989656i | \(-0.996850\pi\) |
0.714070 | + | 0.700074i | \(0.246850\pi\) | |||||||
\(882\) | −5.12166e13 | + | 5.12166e13i | −2.84972 | + | 2.84972i | ||||
\(883\) | 6.98562e12 | 0.386707 | 0.193354 | − | 0.981129i | \(-0.438064\pi\) | ||||
0.193354 | + | 0.981129i | \(0.438064\pi\) | |||||||
\(884\) | −9.20235e11 | + | 7.20839e11i | −0.0506831 | + | 0.0397012i | ||||
\(885\) | 3.99924e13 | 2.19145 | ||||||||
\(886\) | 2.99246e13 | − | 2.99246e13i | 1.63146 | − | 1.63146i | ||||
\(887\) | 1.20860e13 | − | 2.91781e13i | 0.655579 | − | 1.58271i | −0.148984 | − | 0.988840i | \(-0.547600\pi\) |
0.804563 | − | 0.593868i | \(-0.202400\pi\) | |||||||
\(888\) | 1.00975e12i | 0.0544948i | ||||||||
\(889\) | −8.93705e12 | − | 3.70185e12i | −0.479884 | − | 0.198774i | ||||
\(890\) | −1.47595e12 | − | 3.56326e12i | −0.0788527 | − | 0.190367i | ||||
\(891\) | −1.37790e13 | + | 5.70746e12i | −0.732435 | + | 0.303385i | ||||
\(892\) | 1.88907e13 | + | 1.88907e13i | 0.999096 | + | 0.999096i | ||||
\(893\) | −1.09441e13 | − | 1.09441e13i | −0.575901 | − | 0.575901i | ||||
\(894\) | −8.35122e13 | + | 3.45919e13i | −4.37251 | + | 1.81115i | ||||
\(895\) | −2.60072e12 | − | 6.27869e12i | −0.135484 | − | 0.327088i | ||||
\(896\) | 4.65135e13 | + | 1.92665e13i | 2.41098 | + | 0.998659i | ||||
\(897\) | − | 1.33355e11i | − | 0.00687769i | ||||||
\(898\) | 1.18307e13 | − | 2.85617e13i | 0.607107 | − | 1.46569i | ||||
\(899\) | 3.35787e13 | − | 3.35787e13i | 1.71453 | − | 1.71453i | ||||
\(900\) | −1.61017e13 | −0.818052 | ||||||||
\(901\) | −3.46242e12 | + | 2.84966e13i | −0.175032 | + | 1.44056i | ||||
\(902\) | 1.68303e13 | 0.846568 | ||||||||
\(903\) | −3.06073e13 | + | 3.06073e13i | −1.53190 | + | 1.53190i | ||||
\(904\) | −3.80778e12 | + | 9.19280e12i | −0.189633 | + | 0.457815i | ||||
\(905\) | − | 1.54206e13i | − | 0.764156i | ||||||
\(906\) | 8.39836e13 | + | 3.47871e13i | 4.14112 | + | 1.71531i | ||||
\(907\) | −1.21546e12 | − | 2.93439e12i | −0.0596361 | − | 0.143974i | 0.891253 | − | 0.453507i | \(-0.149827\pi\) |
−0.950889 | + | 0.309533i | \(0.899827\pi\) | |||||||
\(908\) | −4.85761e13 | + | 2.01209e13i | −2.37157 | + | 0.982337i | ||||
\(909\) | −1.29563e13 | − | 1.29563e13i | −0.629422 | − | 0.629422i | ||||
\(910\) | −1.47333e12 | − | 1.47333e12i | −0.0712219 | − | 0.0712219i | ||||
\(911\) | 7.17710e12 | − | 2.97285e12i | 0.345236 | − | 0.143001i | −0.203326 | − | 0.979111i | \(-0.565175\pi\) |
0.548563 | + | 0.836110i | \(0.315175\pi\) | |||||||
\(912\) | 4.48037e12 | + | 1.08166e13i | 0.214455 | + | 0.517741i | ||||
\(913\) | −1.68802e12 | − | 6.99202e11i | −0.0804007 | − | 0.0333031i | ||||
\(914\) | − | 4.40484e13i | − | 2.08772i | ||||||
\(915\) | −1.42748e12 | + | 3.44624e12i | −0.0673247 | + | 0.162536i | ||||
\(916\) | 1.98321e13 | − | 1.98321e13i | 0.930762 | − | 0.930762i | ||||
\(917\) | 5.07925e13 | 2.37212 | ||||||||
\(918\) | −1.78484e13 | − | 6.40453e13i | −0.829485 | − | 2.97643i | ||||
\(919\) | −2.31177e13 | −1.06912 | −0.534559 | − | 0.845131i | \(-0.679522\pi\) | ||||
−0.534559 | + | 0.845131i | \(0.679522\pi\) | |||||||
\(920\) | 2.15817e12 | − | 2.15817e12i | 0.0993210 | − | 0.0993210i | ||||
\(921\) | 2.13226e13 | − | 5.14774e13i | 0.976501 | − | 2.35748i | ||||
\(922\) | − | 9.35713e12i | − | 0.426436i | ||||||
\(923\) | 2.48804e10 | + | 1.03058e10i | 0.00112837 | + | 0.000467385i | ||||
\(924\) | −2.48516e13 | − | 5.99970e13i | −1.12158 | − | 2.70773i | ||||
\(925\) | −1.21859e11 | + | 5.04756e10i | −0.00547292 | + | 0.00226696i | ||||
\(926\) | −2.35813e12 | − | 2.35813e12i | −0.105395 | − | 0.105395i | ||||
\(927\) | 2.11536e13 | + | 2.11536e13i | 0.940859 | + | 0.940859i | ||||
\(928\) | −2.29930e13 | + | 9.52403e12i | −1.01773 | + | 0.421556i | ||||
\(929\) | 1.20342e13 | + | 2.90532e13i | 0.530088 | + | 1.27974i | 0.931465 | + | 0.363832i | \(0.118532\pi\) |
−0.401377 | + | 0.915913i | \(0.631468\pi\) | |||||||
\(930\) | 1.15520e14 | + | 4.78498e13i | 5.06387 | + | 2.09752i | ||||
\(931\) | 3.35611e13i | 1.46407i | ||||||||
\(932\) | −2.51302e13 | + | 6.06696e13i | −1.09100 | + | 2.63390i | ||||
\(933\) | −4.35164e13 | + | 4.35164e13i | −1.88012 | + | 1.88012i | ||||
\(934\) | 2.97195e13 | 1.27785 | ||||||||
\(935\) | −1.04778e13 | − | 1.33762e13i | −0.448352 | − | 0.572374i | ||||
\(936\) | 2.17543e12 | 0.0926412 | ||||||||
\(937\) | 2.15611e13 | − | 2.15611e13i | 0.913783 | − | 0.913783i | −0.0827841 | − | 0.996568i | \(-0.526381\pi\) |
0.996568 | + | 0.0827841i | \(0.0263812\pi\) | |||||||
\(938\) | 2.00578e13 | − | 4.84238e13i | 0.846000 | − | 2.04243i | ||||
\(939\) | 4.46814e13i | 1.87556i | ||||||||
\(940\) | −2.78050e13 | − | 1.15172e13i | −1.16157 | − | 0.481140i | ||||
\(941\) | −9.79491e12 | − | 2.36470e13i | −0.407237 | − | 0.983157i | −0.985861 | − | 0.167563i | \(-0.946410\pi\) |
0.578624 | − | 0.815594i | \(-0.303590\pi\) | |||||||
\(942\) | −9.40443e12 | + | 3.89544e12i | −0.389138 | + | 0.161186i | ||||
\(943\) | −1.41416e12 | − | 1.41416e12i | −0.0582366 | − | 0.0582366i | ||||
\(944\) | −5.02044e12 | − | 5.02044e12i | −0.205763 | − | 0.205763i | ||||
\(945\) | 6.93518e13 | − | 2.87265e13i | 2.82888 | − | 1.17176i | ||||
\(946\) | −8.55418e12 | − | 2.06516e13i | −0.347271 | − | 0.838385i | ||||
\(947\) | 1.82959e13 | + | 7.57843e12i | 0.739231 | + | 0.306199i | 0.720339 | − | 0.693622i | \(-0.243986\pi\) |
0.0188916 | + | 0.999822i | \(0.493986\pi\) | |||||||
\(948\) | 1.79502e13i | 0.721826i | ||||||||
\(949\) | −1.33892e11 | + | 3.23243e11i | −0.00535865 | + | 0.0129369i | ||||
\(950\) | −8.32864e12 | + | 8.32864e12i | −0.331755 | + | 0.331755i | ||||
\(951\) | −7.58607e13 | −3.00749 | ||||||||
\(952\) | 4.33365e13 | − | 1.20772e13i | 1.70997 | − | 0.476542i | ||||
\(953\) | −3.81669e13 | −1.49889 | −0.749444 | − | 0.662068i | \(-0.769679\pi\) | ||||
−0.749444 | + | 0.662068i | \(0.769679\pi\) | |||||||
\(954\) | 8.96692e13 | − | 8.96692e13i | 3.50490 | − | 3.50490i | ||||
\(955\) | 2.13030e12 | − | 5.14299e12i | 0.0828753 | − | 0.200079i | ||||
\(956\) | 5.10389e13i | 1.97624i | ||||||||
\(957\) | 3.90722e13 | + | 1.61842e13i | 1.50579 | + | 0.623718i | ||||
\(958\) | −9.63245e12 | − | 2.32548e13i | −0.369481 | − | 0.892006i | ||||
\(959\) | −2.74652e13 | + | 1.13765e13i | −1.04857 | + | 0.434334i | ||||
\(960\) | −5.56532e13 | − | 5.56532e13i | −2.11480 | − | 2.11480i | ||||
\(961\) | −3.59120e13 | − | 3.59120e13i | −1.35826 | − | 1.35826i | ||||
\(962\) | 3.90808e10 | − | 1.61878e10i | 0.00147121 | − | 0.000609396i | ||||
\(963\) | 1.92448e13 | + | 4.64610e13i | 0.721098 | + | 1.74088i | ||||
\(964\) | 2.50758e13 | + | 1.03867e13i | 0.935207 | + | 0.387376i | ||||
\(965\) | − | 2.87365e13i | − | 1.06674i | ||||||
\(966\) | −4.66211e12 | + | 1.12553e13i | −0.172260 | + | 0.415873i | ||||
\(967\) | −3.03872e13 | + | 3.03872e13i | −1.11756 | + | 1.11756i | −0.125462 | + | 0.992098i | \(0.540041\pi\) |
−0.992098 | + | 0.125462i | \(0.959959\pi\) | |||||||
\(968\) | −1.87157e13 | −0.685122 | ||||||||
\(969\) | −5.19538e13 | − | 2.93075e13i | −1.89304 | − | 1.06788i | ||||
\(970\) | −3.32678e13 | −1.20657 | ||||||||
\(971\) | −7.62772e12 | + | 7.62772e12i | −0.275365 | + | 0.275365i | −0.831255 | − | 0.555891i | \(-0.812377\pi\) |
0.555891 | + | 0.831255i | \(0.312377\pi\) | |||||||
\(972\) | −4.53568e12 | + | 1.09501e13i | −0.162984 | + | 0.393477i | ||||
\(973\) | 6.73272e13i | 2.40815i | ||||||||
\(974\) | −4.49056e13 | − | 1.86005e13i | −1.59877 | − | 0.662232i | ||||
\(975\) | 1.61330e11 | + | 3.89485e11i | 0.00571735 | + | 0.0138029i | ||||
\(976\) | 6.11822e11 | − | 2.53425e11i | 0.0215825 | − | 0.00893975i | ||||
\(977\) | 7.68445e12 | + | 7.68445e12i | 0.269828 | + | 0.269828i | 0.829031 | − | 0.559203i | \(-0.188893\pi\) |
−0.559203 | + | 0.829031i | \(0.688893\pi\) | |||||||
\(978\) | −6.53125e13 | − | 6.53125e13i | −2.28282 | − | 2.28282i | ||||
\(979\) | −1.95996e12 | + | 8.11844e11i | −0.0681909 | + | 0.0282456i | ||||
\(980\) | 2.49740e13 | + | 6.02926e13i | 0.864910 | + | 2.08808i | ||||
\(981\) | −1.33716e13 | − | 5.53872e12i | −0.460972 | − | 0.190941i | ||||
\(982\) | − | 4.76629e12i | − | 0.163561i | ||||||
\(983\) | 4.64977e12 | − | 1.12255e13i | 0.158833 | − | 0.383456i | −0.824350 | − | 0.566080i | \(-0.808459\pi\) |
0.983183 | + | 0.182624i | \(0.0584591\pi\) | |||||||
\(984\) | 3.42245e13 | − | 3.42245e13i | 1.16375 | − | 1.16375i | ||||
\(985\) | 3.59264e13 | 1.21605 | ||||||||
\(986\) | −3.41693e13 | + | 6.05723e13i | −1.15130 | + | 2.04093i | ||||
\(987\) | 5.06075e13 | 1.69742 | ||||||||
\(988\) | 1.69190e12 | − | 1.69190e12i | 0.0564895 | − | 0.0564895i | ||||
\(989\) | −1.01648e12 | + | 2.45401e12i | −0.0337845 | + | 0.0815630i | ||||
\(990\) | 7.50606e13i | 2.48344i | ||||||||
\(991\) | 1.57007e13 | + | 6.50345e12i | 0.517116 | + | 0.214197i | 0.625950 | − | 0.779863i | \(-0.284712\pi\) |
−0.108833 | + | 0.994060i | \(0.534712\pi\) | |||||||
\(992\) | 1.54885e13 | + | 3.73926e13i | 0.507817 | + | 1.22598i | ||||
\(993\) | 5.51425e13 | − | 2.28408e13i | 1.79976 | − | 0.745486i | ||||
\(994\) | −1.73965e12 | − | 1.73965e12i | −0.0565227 | − | 0.0565227i | ||||
\(995\) | 2.57520e13 | + | 2.57520e13i | 0.832927 | + | 0.832927i | ||||
\(996\) | −1.15232e13 | + | 4.77306e12i | −0.371027 | + | 0.153684i | ||||
\(997\) | −1.83955e13 | − | 4.44108e13i | −0.589636 | − | 1.42351i | −0.883851 | − | 0.467769i | \(-0.845058\pi\) |
0.294215 | − | 0.955739i | \(-0.404942\pi\) | |||||||
\(998\) | −1.53570e13 | − | 6.36109e12i | −0.490026 | − | 0.202976i | ||||
\(999\) | 1.52397e12i | 0.0484095i |
(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 | 17.10.d.a.8.12 | ✓ | 52 | |
17.7 | odd | 16 | 289.10.a.i.1.6 | 52 | |||
17.10 | odd | 16 | 289.10.a.i.1.5 | 52 | |||
17.15 | even | 8 | inner | 17.10.d.a.15.12 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.12 | ✓ | 52 | 1.1 | even | 1 | trivial | |
17.10.d.a.15.12 | yes | 52 | 17.15 | even | 8 | inner | |
289.10.a.i.1.5 | 52 | 17.10 | odd | 16 | |||
289.10.a.i.1.6 | 52 | 17.7 | odd | 16 |