Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,16,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.1232206120\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.14 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −35.8416 | − | 177.436i | −0.197998 | − | 0.980202i | ||||
\(3\) | −2291.54 | − | 3016.25i | −0.604949 | − | 0.796264i | ||||
\(4\) | −30198.8 | + | 12719.1i | −0.921593 | + | 0.388157i | ||||
\(5\) | 33476.6i | 0.191631i | 0.995399 | + | 0.0958156i | \(0.0305459\pi\) | ||||
−0.995399 | + | 0.0958156i | \(0.969454\pi\) | |||||||
\(6\) | −453057. | + | 514708.i | −0.660721 | + | 0.750631i | ||||
\(7\) | 694274.i | 0.318637i | 0.987227 | + | 0.159318i | \(0.0509296\pi\) | ||||
−0.987227 | + | 0.159318i | \(0.949070\pi\) | |||||||
\(8\) | 3.33920e6 | + | 4.90246e6i | 0.562947 | + | 0.826493i | ||||
\(9\) | −3.84657e6 | + | 1.38237e7i | −0.268074 | + | 0.963398i | ||||
\(10\) | 5.93994e6 | − | 1.19985e6i | 0.187837 | − | 0.0379427i | ||||
\(11\) | 5.49804e7 | 0.850673 | 0.425336 | − | 0.905035i | \(-0.360156\pi\) | ||||
0.425336 | + | 0.905035i | \(0.360156\pi\) | |||||||
\(12\) | 1.07566e8 | + | 6.19404e7i | 0.866592 | + | 0.499017i | ||||
\(13\) | −2.93342e8 | −1.29658 | −0.648290 | − | 0.761394i | \(-0.724515\pi\) | ||||
−0.648290 | + | 0.761394i | \(0.724515\pi\) | |||||||
\(14\) | 1.23189e8 | − | 2.48839e7i | 0.312328 | − | 0.0630896i | ||||
\(15\) | 1.00974e8 | − | 7.67131e7i | 0.152589 | − | 0.115927i | ||||
\(16\) | 7.50189e8 | − | 7.68204e8i | 0.698668 | − | 0.715446i | ||||
\(17\) | 1.09024e9i | 0.644399i | 0.946672 | + | 0.322199i | \(0.104422\pi\) | ||||
−0.946672 | + | 0.322199i | \(0.895578\pi\) | |||||||
\(18\) | 2.59069e9 | + | 1.87054e8i | 0.997404 | + | 0.0720151i | ||||
\(19\) | − | 5.34556e9i | − | 1.37196i | −0.727620 | − | 0.685980i | \(-0.759374\pi\) | ||
0.727620 | − | 0.685980i | \(-0.240626\pi\) | |||||||
\(20\) | −4.25793e8 | − | 1.01095e9i | −0.0743830 | − | 0.176606i | ||||
\(21\) | 2.09410e9 | − | 1.59096e9i | 0.253719 | − | 0.192759i | ||||
\(22\) | −1.97058e9 | − | 9.75547e9i | −0.168432 | − | 0.833831i | ||||
\(23\) | 1.46183e10 | 0.895235 | 0.447618 | − | 0.894225i | \(-0.352273\pi\) | ||||
0.447618 | + | 0.894225i | \(0.352273\pi\) | |||||||
\(24\) | 7.13511e9 | − | 2.13060e10i | 0.317553 | − | 0.948240i | ||||
\(25\) | 2.93969e10 | 0.963277 | ||||||||
\(26\) | 1.05138e10 | + | 5.20493e10i | 0.256721 | + | 1.27091i | ||||
\(27\) | 5.05103e10 | − | 2.00755e10i | 0.929291 | − | 0.369349i | ||||
\(28\) | −8.83057e9 | − | 2.09662e10i | −0.123681 | − | 0.293653i | ||||
\(29\) | 7.94865e10i | 0.855674i | 0.903856 | + | 0.427837i | \(0.140724\pi\) | ||||
−0.903856 | + | 0.427837i | \(0.859276\pi\) | |||||||
\(30\) | −1.72307e10 | − | 1.51668e10i | −0.143844 | − | 0.126615i | ||||
\(31\) | 1.27900e11i | 0.834944i | 0.908690 | + | 0.417472i | \(0.137084\pi\) | ||||
−0.908690 | + | 0.417472i | \(0.862916\pi\) | |||||||
\(32\) | −1.63195e11 | − | 1.05577e11i | −0.839617 | − | 0.543179i | ||||
\(33\) | −1.25990e11 | − | 1.65834e11i | −0.514613 | − | 0.677360i | ||||
\(34\) | 1.93447e11 | − | 3.90759e10i | 0.631641 | − | 0.127590i | ||||
\(35\) | −2.32419e10 | −0.0610607 | ||||||||
\(36\) | −5.96641e10 | − | 4.66384e11i | −0.126895 | − | 0.991916i | ||||
\(37\) | −4.22440e11 | −0.731564 | −0.365782 | − | 0.930701i | \(-0.619198\pi\) | ||||
−0.365782 | + | 0.930701i | \(0.619198\pi\) | |||||||
\(38\) | −9.48493e11 | + | 1.91593e11i | −1.34480 | + | 0.271646i | ||||
\(39\) | 6.72206e11 | + | 8.84791e11i | 0.784364 | + | 1.03242i | ||||
\(40\) | −1.64118e11 | + | 1.11785e11i | −0.158382 | + | 0.107878i | ||||
\(41\) | 7.06327e11i | 0.566405i | 0.959060 | + | 0.283202i | \(0.0913968\pi\) | ||||
−0.959060 | + | 0.283202i | \(0.908603\pi\) | |||||||
\(42\) | −3.57349e11 | − | 3.14546e11i | −0.239179 | − | 0.210530i | ||||
\(43\) | 2.89245e12i | 1.62275i | 0.584523 | + | 0.811377i | \(0.301282\pi\) | ||||
−0.584523 | + | 0.811377i | \(0.698718\pi\) | |||||||
\(44\) | −1.66034e12 | + | 6.99303e11i | −0.783974 | + | 0.330195i | ||||
\(45\) | −4.62771e11 | − | 1.28770e11i | −0.184617 | − | 0.0513713i | ||||
\(46\) | −5.23941e11 | − | 2.59380e12i | −0.177255 | − | 0.877512i | ||||
\(47\) | 6.40017e12 | 1.84271 | 0.921357 | − | 0.388718i | \(-0.127082\pi\) | ||||
0.921357 | + | 0.388718i | \(0.127082\pi\) | |||||||
\(48\) | −4.03618e12 | − | 5.02381e11i | −0.992343 | − | 0.123516i | ||||
\(49\) | 4.26554e12 | 0.898471 | ||||||||
\(50\) | −1.05363e12 | − | 5.21606e12i | −0.190727 | − | 0.944207i | ||||
\(51\) | 3.28843e12 | − | 2.49833e12i | 0.513112 | − | 0.389828i | ||||
\(52\) | 8.85857e12 | − | 3.73106e12i | 1.19492 | − | 0.503277i | ||||
\(53\) | − | 7.99661e11i | − | 0.0935055i | −0.998906 | − | 0.0467527i | \(-0.985113\pi\) | ||
0.998906 | − | 0.0467527i | \(-0.0148873\pi\) | |||||||
\(54\) | −5.37247e12 | − | 8.24279e12i | −0.546035 | − | 0.837762i | ||||
\(55\) | 1.84055e12i | 0.163015i | ||||||||
\(56\) | −3.40365e12 | + | 2.31832e12i | −0.263351 | + | 0.179375i | ||||
\(57\) | −1.61235e13 | + | 1.22496e13i | −1.09244 | + | 0.829966i | ||||
\(58\) | 1.41037e13 | − | 2.84892e12i | 0.838733 | − | 0.169422i | ||||
\(59\) | 1.39217e13 | 0.728289 | 0.364144 | − | 0.931343i | \(-0.381361\pi\) | ||||
0.364144 | + | 0.931343i | \(0.381361\pi\) | |||||||
\(60\) | −2.07355e12 | + | 3.60094e12i | −0.0956271 | + | 0.166066i | ||||
\(61\) | 9.62549e12 | 0.392147 | 0.196074 | − | 0.980589i | \(-0.437181\pi\) | ||||
0.196074 | + | 0.980589i | \(0.437181\pi\) | |||||||
\(62\) | 2.26940e13 | − | 4.58413e12i | 0.818414 | − | 0.165318i | ||||
\(63\) | −9.59745e12 | − | 2.67057e12i | −0.306974 | − | 0.0854181i | ||||
\(64\) | −1.28839e13 | + | 3.27406e13i | −0.366182 | + | 0.930543i | ||||
\(65\) | − | 9.82009e12i | − | 0.248465i | ||||||
\(66\) | −2.49092e13 | + | 2.82988e13i | −0.562057 | + | 0.638542i | ||||
\(67\) | 2.75795e13i | 0.555937i | 0.960590 | + | 0.277969i | \(0.0896611\pi\) | ||||
−0.960590 | + | 0.277969i | \(0.910339\pi\) | |||||||
\(68\) | −1.38669e13 | − | 3.29239e13i | −0.250128 | − | 0.593874i | ||||
\(69\) | −3.34984e13 | − | 4.40923e13i | −0.541572 | − | 0.712844i | ||||
\(70\) | 8.33027e11 | + | 4.12395e12i | 0.0120899 | + | 0.0598519i | ||||
\(71\) | −1.40051e14 | −1.82746 | −0.913732 | − | 0.406318i | \(-0.866813\pi\) | ||||
−0.913732 | + | 0.406318i | \(0.866813\pi\) | |||||||
\(72\) | −8.06147e13 | + | 2.73025e13i | −0.947154 | + | 0.320781i | ||||
\(73\) | 1.33684e14 | 1.41631 | 0.708153 | − | 0.706059i | \(-0.249529\pi\) | ||||
0.708153 | + | 0.706059i | \(0.249529\pi\) | |||||||
\(74\) | 1.51409e13 | + | 7.49559e13i | 0.144849 | + | 0.717081i | ||||
\(75\) | −6.73643e13 | − | 8.86683e13i | −0.582734 | − | 0.767024i | ||||
\(76\) | 6.79909e13 | + | 1.61429e14i | 0.532536 | + | 1.26439i | ||||
\(77\) | 3.81714e13i | 0.271055i | ||||||||
\(78\) | 1.32901e14 | − | 1.50986e14i | 0.856677 | − | 0.973253i | ||||
\(79\) | − | 1.22264e14i | − | 0.716301i | −0.933664 | − | 0.358150i | \(-0.883408\pi\) | ||
0.933664 | − | 0.358150i | \(-0.116592\pi\) | |||||||
\(80\) | 2.57169e13 | + | 2.51138e13i | 0.137102 | + | 0.133887i | ||||
\(81\) | −1.76299e14 | − | 1.06348e14i | −0.856273 | − | 0.516524i | ||||
\(82\) | 1.25327e14 | − | 2.53158e13i | 0.555191 | − | 0.112147i | ||||
\(83\) | −8.03046e13 | −0.324829 | −0.162414 | − | 0.986723i | \(-0.551928\pi\) | ||||
−0.162414 | + | 0.986723i | \(0.551928\pi\) | |||||||
\(84\) | −4.30036e13 | + | 7.46802e13i | −0.159005 | + | 0.276128i | ||||
\(85\) | −3.64975e13 | −0.123487 | ||||||||
\(86\) | 5.13224e14 | − | 1.03670e14i | 1.59063 | − | 0.321303i | ||||
\(87\) | 2.39751e14 | − | 1.82147e14i | 0.681342 | − | 0.517639i | ||||
\(88\) | 1.83590e14 | + | 2.69539e14i | 0.478883 | + | 0.703075i | ||||
\(89\) | 4.85416e14i | 1.16329i | 0.813442 | + | 0.581646i | \(0.197591\pi\) | ||||
−0.813442 | + | 0.581646i | \(0.802409\pi\) | |||||||
\(90\) | −6.26194e12 | + | 8.67273e13i | −0.0138003 | + | 0.191134i | ||||
\(91\) | − | 2.03660e14i | − | 0.413138i | ||||||
\(92\) | −4.41454e14 | + | 1.85932e14i | −0.825043 | + | 0.347492i | ||||
\(93\) | 3.85777e14 | − | 2.93088e14i | 0.664836 | − | 0.505098i | ||||
\(94\) | −2.29392e14 | − | 1.13562e15i | −0.364854 | − | 1.80623i | ||||
\(95\) | 1.78951e14 | 0.262910 | ||||||||
\(96\) | 5.55228e13 | + | 7.34169e14i | 0.0754115 | + | 0.997153i | ||||
\(97\) | 1.97524e14 | 0.248218 | 0.124109 | − | 0.992269i | \(-0.460393\pi\) | ||||
0.124109 | + | 0.992269i | \(0.460393\pi\) | |||||||
\(98\) | −1.52884e14 | − | 7.56859e14i | −0.177896 | − | 0.880683i | ||||
\(99\) | −2.11486e14 | + | 7.60033e14i | −0.228043 | + | 0.819537i | ||||
\(100\) | −8.87750e14 | + | 3.73903e14i | −0.887750 | + | 0.373903i | ||||
\(101\) | − | 7.20648e14i | − | 0.668826i | −0.942427 | − | 0.334413i | \(-0.891462\pi\) | ||
0.942427 | − | 0.334413i | \(-0.108538\pi\) | |||||||
\(102\) | −5.61155e14 | − | 4.93940e14i | −0.483706 | − | 0.425768i | ||||
\(103\) | 1.54207e15i | 1.23545i | 0.786394 | + | 0.617725i | \(0.211945\pi\) | ||||
−0.786394 | + | 0.617725i | \(0.788055\pi\) | |||||||
\(104\) | −9.79527e14 | − | 1.43810e15i | −0.729905 | − | 1.07161i | ||||
\(105\) | 5.32599e13 | + | 7.01034e13i | 0.0369386 | + | 0.0486205i | ||||
\(106\) | −1.41888e14 | + | 2.86611e13i | −0.0916543 | + | 0.0185139i | ||||
\(107\) | 1.67492e15 | 1.00836 | 0.504180 | − | 0.863599i | \(-0.331795\pi\) | ||||
0.504180 | + | 0.863599i | \(0.331795\pi\) | |||||||
\(108\) | −1.27001e15 | + | 1.24870e15i | −0.713062 | + | 0.701100i | ||||
\(109\) | −2.64556e15 | −1.38618 | −0.693089 | − | 0.720852i | \(-0.743751\pi\) | ||||
−0.693089 | + | 0.720852i | \(0.743751\pi\) | |||||||
\(110\) | 3.26580e14 | − | 6.59684e13i | 0.159788 | − | 0.0322768i | ||||
\(111\) | 9.68040e14 | + | 1.27418e15i | 0.442559 | + | 0.582519i | ||||
\(112\) | 5.33344e14 | + | 5.20837e14i | 0.227967 | + | 0.222621i | ||||
\(113\) | 4.64724e15i | 1.85826i | 0.369751 | + | 0.929131i | \(0.379443\pi\) | ||||
−0.369751 | + | 0.929131i | \(0.620557\pi\) | |||||||
\(114\) | 2.75141e15 | + | 2.42184e15i | 1.02984 | + | 0.906483i | ||||
\(115\) | 4.89370e14i | 0.171555i | ||||||||
\(116\) | −1.01100e15 | − | 2.40039e15i | −0.332136 | − | 0.788583i | ||||
\(117\) | 1.12836e15 | − | 4.05508e15i | 0.347579 | − | 1.24912i | ||||
\(118\) | −4.98977e14 | − | 2.47021e15i | −0.144200 | − | 0.713870i | ||||
\(119\) | −7.56925e14 | −0.205329 | ||||||||
\(120\) | 7.13254e14 | + | 2.38859e14i | 0.181712 | + | 0.0608531i | ||||
\(121\) | −1.15441e15 | −0.276356 | ||||||||
\(122\) | −3.44992e14 | − | 1.70790e15i | −0.0776445 | − | 0.384383i | ||||
\(123\) | 2.13045e15 | − | 1.61858e15i | 0.451008 | − | 0.342646i | ||||
\(124\) | −1.62677e15 | − | 3.86242e15i | −0.324089 | − | 0.769478i | ||||
\(125\) | 2.00573e15i | 0.376225i | ||||||||
\(126\) | −1.29867e14 | + | 1.79865e15i | −0.0229467 | + | 0.317809i | ||||
\(127\) | − | 9.47528e15i | − | 1.57784i | −0.614494 | − | 0.788922i | \(-0.710640\pi\) | ||
0.614494 | − | 0.788922i | \(-0.289360\pi\) | |||||||
\(128\) | 6.27112e15 | + | 1.11259e15i | 0.984624 | + | 0.174687i | ||||
\(129\) | 8.72434e15 | − | 6.62818e15i | 1.29214 | − | 0.981683i | ||||
\(130\) | −1.74243e15 | + | 3.51967e14i | −0.243546 | + | 0.0491957i | ||||
\(131\) | −6.95076e15 | −0.917270 | −0.458635 | − | 0.888625i | \(-0.651661\pi\) | ||||
−0.458635 | + | 0.888625i | \(0.651661\pi\) | |||||||
\(132\) | 5.91401e15 | + | 3.40551e15i | 0.737186 | + | 0.424500i | ||||
\(133\) | 3.71129e15 | 0.437157 | ||||||||
\(134\) | 4.89359e15 | − | 9.88493e14i | 0.544931 | − | 0.110075i | ||||
\(135\) | 6.72058e14 | + | 1.69091e15i | 0.0707788 | + | 0.178081i | ||||
\(136\) | −5.34485e15 | + | 3.64052e15i | −0.532591 | + | 0.362762i | ||||
\(137\) | 1.81089e16i | 1.70800i | 0.520272 | + | 0.854001i | \(0.325831\pi\) | ||||
−0.520272 | + | 0.854001i | \(0.674169\pi\) | |||||||
\(138\) | −6.62291e15 | + | 7.52414e15i | −0.591501 | + | 0.671992i | ||||
\(139\) | 1.37379e15i | 0.116228i | 0.998310 | + | 0.0581140i | \(0.0185087\pi\) | ||||
−0.998310 | + | 0.0581140i | \(0.981491\pi\) | |||||||
\(140\) | 7.01878e14 | − | 2.95617e14i | 0.0562731 | − | 0.0237012i | ||||
\(141\) | −1.46663e16 | − | 1.93045e16i | −1.11475 | − | 1.46729i | ||||
\(142\) | 5.01965e15 | + | 2.48500e16i | 0.361835 | + | 1.79128i | ||||
\(143\) | −1.61280e16 | −1.10296 | ||||||||
\(144\) | 7.73378e15 | + | 1.33253e16i | 0.501965 | + | 0.864888i | ||||
\(145\) | −2.66094e15 | −0.163974 | ||||||||
\(146\) | −4.79143e15 | − | 2.37202e16i | −0.280426 | − | 1.38827i | ||||
\(147\) | −9.77468e15 | − | 1.28659e16i | −0.543529 | − | 0.715420i | ||||
\(148\) | 1.27572e16 | − | 5.37308e15i | 0.674205 | − | 0.283962i | ||||
\(149\) | − | 6.04298e14i | − | 0.0303637i | −0.999885 | − | 0.0151818i | \(-0.995167\pi\) | ||
0.999885 | − | 0.0151818i | \(-0.00483271\pi\) | |||||||
\(150\) | −1.33185e16 | + | 1.51308e16i | −0.636458 | + | 0.723066i | ||||
\(151\) | 1.35196e16i | 0.614664i | 0.951602 | + | 0.307332i | \(0.0994362\pi\) | ||||
−0.951602 | + | 0.307332i | \(0.900564\pi\) | |||||||
\(152\) | 2.62064e16 | − | 1.78499e16i | 1.13392 | − | 0.772340i | ||||
\(153\) | −1.50711e16 | − | 4.19368e15i | −0.620813 | − | 0.172746i | ||||
\(154\) | 6.77297e15 | − | 1.36812e15i | 0.265689 | − | 0.0536686i | ||||
\(155\) | −4.28165e15 | −0.160001 | ||||||||
\(156\) | −3.15536e16 | − | 1.81697e16i | −1.12361 | − | 0.647015i | ||||
\(157\) | 2.33116e16 | 0.791270 | 0.395635 | − | 0.918408i | \(-0.370525\pi\) | ||||
0.395635 | + | 0.918408i | \(0.370525\pi\) | |||||||
\(158\) | −2.16940e16 | + | 4.38213e15i | −0.702120 | + | 0.141826i | ||||
\(159\) | −2.41198e15 | + | 1.83246e15i | −0.0744551 | + | 0.0565660i | ||||
\(160\) | 3.53434e15 | − | 5.46320e15i | 0.104090 | − | 0.160897i | ||||
\(161\) | 1.01491e16i | 0.285255i | ||||||||
\(162\) | −1.25510e16 | + | 3.50934e16i | −0.336757 | + | 0.941592i | ||||
\(163\) | 1.11261e15i | 0.0285060i | 0.999898 | + | 0.0142530i | \(0.00453702\pi\) | ||||
−0.999898 | + | 0.0142530i | \(0.995463\pi\) | |||||||
\(164\) | −8.98386e15 | − | 2.13302e16i | −0.219854 | − | 0.521995i | ||||
\(165\) | 5.55157e15 | − | 4.21771e15i | 0.129803 | − | 0.0986160i | ||||
\(166\) | 2.87824e15 | + | 1.42489e16i | 0.0643156 | + | 0.318398i | ||||
\(167\) | 7.24563e16 | 1.54776 | 0.773878 | − | 0.633334i | \(-0.218314\pi\) | ||||
0.773878 | + | 0.633334i | \(0.218314\pi\) | |||||||
\(168\) | 1.47922e16 | + | 4.95372e15i | 0.302144 | + | 0.101184i | ||||
\(169\) | 3.48636e16 | 0.681118 | ||||||||
\(170\) | 1.30813e15 | + | 6.47595e15i | 0.0244502 | + | 0.121042i | ||||
\(171\) | 7.38955e16 | + | 2.05621e16i | 1.32174 | + | 0.367787i | ||||
\(172\) | −3.67895e16 | − | 8.73485e16i | −0.629884 | − | 1.49552i | ||||
\(173\) | 6.62972e16i | 1.08680i | 0.839474 | + | 0.543400i | \(0.182863\pi\) | ||||
−0.839474 | + | 0.543400i | \(0.817137\pi\) | |||||||
\(174\) | −4.09123e16 | − | 3.60119e16i | −0.642296 | − | 0.565362i | ||||
\(175\) | 2.04095e16i | 0.306935i | ||||||||
\(176\) | 4.12457e16 | − | 4.22361e16i | 0.594338 | − | 0.608610i | ||||
\(177\) | −3.19023e16 | − | 4.19914e16i | −0.440577 | − | 0.579910i | ||||
\(178\) | 8.61301e16 | − | 1.73981e16i | 1.14026 | − | 0.230330i | ||||
\(179\) | 2.84284e16 | 0.360874 | 0.180437 | − | 0.983587i | \(-0.442249\pi\) | ||||
0.180437 | + | 0.983587i | \(0.442249\pi\) | |||||||
\(180\) | 1.56129e16 | − | 1.99735e15i | 0.190082 | − | 0.0243170i | ||||
\(181\) | −5.40077e16 | −0.630764 | −0.315382 | − | 0.948965i | \(-0.602133\pi\) | ||||
−0.315382 | + | 0.948965i | \(0.602133\pi\) | |||||||
\(182\) | −3.61365e16 | + | 7.29948e15i | −0.404959 | + | 0.0818006i | ||||
\(183\) | −2.20572e16 | − | 2.90328e16i | −0.237229 | − | 0.312253i | ||||
\(184\) | 4.88133e16 | + | 7.16655e16i | 0.503970 | + | 0.739906i | ||||
\(185\) | − | 1.41419e16i | − | 0.140191i | ||||||
\(186\) | −6.58311e16 | − | 5.79459e16i | −0.626735 | − | 0.551665i | ||||
\(187\) | 5.99417e16i | 0.548172i | ||||||||
\(188\) | −1.93277e17 | + | 8.14047e16i | −1.69823 | + | 0.715262i | ||||
\(189\) | 1.39379e16 | + | 3.50680e16i | 0.117688 | + | 0.296106i | ||||
\(190\) | −6.41389e15 | − | 3.17523e16i | −0.0520559 | − | 0.257705i | ||||
\(191\) | −1.21047e17 | −0.944506 | −0.472253 | − | 0.881463i | \(-0.656559\pi\) | ||||
−0.472253 | + | 0.881463i | \(0.656559\pi\) | |||||||
\(192\) | 1.28278e17 | − | 3.61655e16i | 0.962480 | − | 0.271353i | ||||
\(193\) | −5.51856e16 | −0.398241 | −0.199120 | − | 0.979975i | \(-0.563808\pi\) | ||||
−0.199120 | + | 0.979975i | \(0.563808\pi\) | |||||||
\(194\) | −7.07958e15 | − | 3.50479e16i | −0.0491468 | − | 0.243304i | ||||
\(195\) | −2.96198e16 | + | 2.25032e16i | −0.197844 | + | 0.150309i | ||||
\(196\) | −1.28814e17 | + | 5.42540e16i | −0.828024 | + | 0.348748i | ||||
\(197\) | − | 2.35075e16i | − | 0.145449i | −0.997352 | − | 0.0727244i | \(-0.976831\pi\) | ||
0.997352 | − | 0.0727244i | \(-0.0231694\pi\) | |||||||
\(198\) | 1.42437e17 | + | 1.02843e16i | 0.848464 | + | 0.0612613i | ||||
\(199\) | − | 3.43230e16i | − | 0.196873i | −0.995143 | − | 0.0984367i | \(-0.968616\pi\) | ||
0.995143 | − | 0.0984367i | \(-0.0313842\pi\) | |||||||
\(200\) | 9.81620e16 | + | 1.44117e17i | 0.542274 | + | 0.796142i | ||||
\(201\) | 8.31866e16 | − | 6.31997e16i | 0.442673 | − | 0.336314i | ||||
\(202\) | −1.27869e17 | + | 2.58292e16i | −0.655585 | + | 0.132427i | ||||
\(203\) | −5.51854e16 | −0.272649 | ||||||||
\(204\) | −6.75299e16 | + | 1.17272e17i | −0.321566 | + | 0.558431i | ||||
\(205\) | −2.36454e16 | −0.108541 | ||||||||
\(206\) | 2.73618e17 | − | 5.52702e16i | 1.21099 | − | 0.244617i | ||||
\(207\) | −5.62301e16 | + | 2.02079e17i | −0.239989 | + | 0.862468i | ||||
\(208\) | −2.20062e17 | + | 2.25347e17i | −0.905879 | + | 0.927633i | ||||
\(209\) | − | 2.93901e17i | − | 1.16709i | ||||||
\(210\) | 1.05299e16 | − | 1.19628e16i | 0.0403441 | − | 0.0458341i | ||||
\(211\) | − | 3.73984e17i | − | 1.38272i | −0.722510 | − | 0.691360i | \(-0.757012\pi\) | ||
0.722510 | − | 0.691360i | \(-0.242988\pi\) | |||||||
\(212\) | 1.01710e16 | + | 2.41488e16i | 0.0362948 | + | 0.0861740i | ||||
\(213\) | 3.20933e17 | + | 4.22428e17i | 1.10552 | + | 1.45514i | ||||
\(214\) | −6.00317e16 | − | 2.97190e17i | −0.199654 | − | 0.988396i | ||||
\(215\) | −9.68294e16 | −0.310970 | ||||||||
\(216\) | 2.67083e17 | + | 1.80589e17i | 0.828406 | + | 0.560129i | ||||
\(217\) | −8.87975e16 | −0.266044 | ||||||||
\(218\) | 9.48210e16 | + | 4.69417e17i | 0.274461 | + | 1.35873i | ||||
\(219\) | −3.06342e17 | − | 4.03223e17i | −0.856792 | − | 1.12775i | ||||
\(220\) | −2.34103e16 | − | 5.55825e16i | −0.0632756 | − | 0.150234i | ||||
\(221\) | − | 3.19813e17i | − | 0.835514i | ||||||
\(222\) | 1.91389e17 | − | 2.17434e17i | 0.483360 | − | 0.549135i | ||||
\(223\) | − | 2.16121e17i | − | 0.527728i | −0.964560 | − | 0.263864i | \(-0.915003\pi\) | ||
0.964560 | − | 0.263864i | \(-0.0849969\pi\) | |||||||
\(224\) | 7.32991e16 | − | 1.13302e17i | 0.173077 | − | 0.267533i | ||||
\(225\) | −1.13077e17 | + | 4.06374e17i | −0.258229 | + | 0.928020i | ||||
\(226\) | 8.24586e17 | − | 1.66564e17i | 1.82147 | − | 0.367933i | ||||
\(227\) | 2.86031e17 | 0.611250 | 0.305625 | − | 0.952152i | \(-0.401135\pi\) | ||||
0.305625 | + | 0.952152i | \(0.401135\pi\) | |||||||
\(228\) | 3.31107e17 | − | 5.75000e17i | 0.684631 | − | 1.18893i | ||||
\(229\) | −6.84429e16 | −0.136950 | −0.0684751 | − | 0.997653i | \(-0.521813\pi\) | ||||
−0.0684751 | + | 0.997653i | \(0.521813\pi\) | |||||||
\(230\) | 8.68316e16 | − | 1.75398e16i | 0.168159 | − | 0.0339676i | ||||
\(231\) | 1.15134e17 | − | 8.74715e16i | 0.215832 | − | 0.163975i | ||||
\(232\) | −3.89679e17 | + | 2.65421e17i | −0.707209 | + | 0.481699i | ||||
\(233\) | − | 4.77935e17i | − | 0.839846i | −0.907560 | − | 0.419923i | \(-0.862057\pi\) | ||
0.907560 | − | 0.419923i | \(-0.137943\pi\) | |||||||
\(234\) | −7.59957e17 | − | 5.48709e16i | −1.29321 | − | 0.0933733i | ||||
\(235\) | 2.14256e17i | 0.353121i | ||||||||
\(236\) | −4.20419e17 | + | 1.77073e17i | −0.671186 | + | 0.282690i | ||||
\(237\) | −3.68778e17 | + | 2.80173e17i | −0.570365 | + | 0.433325i | ||||
\(238\) | 2.71294e16 | + | 1.34305e17i | 0.0406548 | + | 0.201264i | ||||
\(239\) | 2.45440e17 | 0.356419 | 0.178210 | − | 0.983993i | \(-0.442970\pi\) | ||||
0.178210 | + | 0.983993i | \(0.442970\pi\) | |||||||
\(240\) | 1.68180e16 | − | 1.35118e17i | 0.0236696 | − | 0.190164i | ||||
\(241\) | 2.59773e16 | 0.0354378 | 0.0177189 | − | 0.999843i | \(-0.494360\pi\) | ||||
0.0177189 | + | 0.999843i | \(0.494360\pi\) | |||||||
\(242\) | 4.13758e16 | + | 2.04833e17i | 0.0547181 | + | 0.270885i | ||||
\(243\) | 8.32261e16 | + | 7.75461e17i | 0.106712 | + | 0.994290i | ||||
\(244\) | −2.90678e17 | + | 1.22428e17i | −0.361400 | + | 0.152215i | ||||
\(245\) | 1.42796e17i | 0.172175i | ||||||||
\(246\) | −3.63552e17 | − | 3.20006e17i | −0.425161 | − | 0.374235i | ||||
\(247\) | 1.56808e18i | 1.77886i | ||||||||
\(248\) | −6.27024e17 | + | 4.27083e17i | −0.690075 | + | 0.470029i | ||||
\(249\) | 1.84021e17 | + | 2.42218e17i | 0.196505 | + | 0.258650i | ||||
\(250\) | 3.55888e17 | − | 7.18886e16i | 0.368777 | − | 0.0744920i | ||||
\(251\) | 7.40843e17 | 0.745029 | 0.372514 | − | 0.928026i | \(-0.378496\pi\) | ||||
0.372514 | + | 0.928026i | \(0.378496\pi\) | |||||||
\(252\) | 3.23798e17 | − | 4.14233e16i | 0.316061 | − | 0.0404334i | ||||
\(253\) | 8.03718e17 | 0.761552 | ||||||||
\(254\) | −1.68125e18 | + | 3.39609e17i | −1.54661 | + | 0.312411i | ||||
\(255\) | 8.36355e16 | + | 1.10085e17i | 0.0747033 | + | 0.0983282i | ||||
\(256\) | −2.73542e16 | − | 1.15260e18i | −0.0237260 | − | 0.999718i | ||||
\(257\) | − | 2.57141e17i | − | 0.216607i | −0.994118 | − | 0.108304i | \(-0.965458\pi\) | ||
0.994118 | − | 0.108304i | \(-0.0345419\pi\) | |||||||
\(258\) | −1.48877e18 | − | 1.31044e18i | −1.21809 | − | 1.07219i | ||||
\(259\) | − | 2.93289e17i | − | 0.233103i | ||||||
\(260\) | 1.24903e17 | + | 2.96555e17i | 0.0964435 | + | 0.228984i | ||||
\(261\) | −1.09880e18 | − | 3.05750e17i | −0.824355 | − | 0.229384i | ||||
\(262\) | 2.49126e17 | + | 1.23331e18i | 0.181618 | + | 0.899110i | ||||
\(263\) | −1.13536e18 | −0.804386 | −0.402193 | − | 0.915555i | \(-0.631752\pi\) | ||||
−0.402193 | + | 0.915555i | \(0.631752\pi\) | |||||||
\(264\) | 3.92291e17 | − | 1.17141e18i | 0.270134 | − | 0.806642i | ||||
\(265\) | 2.67699e16 | 0.0179186 | ||||||||
\(266\) | −1.33018e17 | − | 6.58514e17i | −0.0865564 | − | 0.428502i | ||||
\(267\) | 1.46413e18 | − | 1.11235e18i | 0.926288 | − | 0.703733i | ||||
\(268\) | −3.50788e17 | − | 8.32868e17i | −0.215791 | − | 0.512348i | ||||
\(269\) | − | 8.06335e17i | − | 0.482362i | −0.970480 | − | 0.241181i | \(-0.922465\pi\) | ||
0.970480 | − | 0.241181i | \(-0.0775348\pi\) | |||||||
\(270\) | 2.75940e17 | − | 1.79852e17i | 0.160541 | − | 0.104637i | ||||
\(271\) | 7.28020e17i | 0.411977i | 0.978554 | + | 0.205989i | \(0.0660410\pi\) | ||||
−0.978554 | + | 0.205989i | \(0.933959\pi\) | |||||||
\(272\) | 8.37526e17 | + | 8.17885e17i | 0.461033 | + | 0.450221i | ||||
\(273\) | −6.14288e17 | + | 4.66695e17i | −0.328967 | + | 0.249927i | ||||
\(274\) | 3.21317e18 | − | 6.49052e17i | 1.67419 | − | 0.338182i | ||||
\(275\) | 1.61625e18 | 0.819434 | ||||||||
\(276\) | 1.57243e18 | + | 9.05462e17i | 0.775804 | + | 0.446737i | ||||
\(277\) | 3.30992e17 | 0.158935 | 0.0794673 | − | 0.996837i | \(-0.474678\pi\) | ||||
0.0794673 | + | 0.996837i | \(0.474678\pi\) | |||||||
\(278\) | 2.43760e17 | − | 4.92389e16i | 0.113927 | − | 0.0230130i | ||||
\(279\) | −1.76805e18 | − | 4.91975e17i | −0.804383 | − | 0.223826i | ||||
\(280\) | −7.76094e16 | − | 1.13943e17i | −0.0343739 | − | 0.0504663i | ||||
\(281\) | 4.26270e18i | 1.83818i | 0.394053 | + | 0.919088i | \(0.371073\pi\) | ||||
−0.394053 | + | 0.919088i | \(0.628927\pi\) | |||||||
\(282\) | −2.89964e18 | + | 3.29422e18i | −1.21752 | + | 1.38320i | ||||
\(283\) | − | 3.24968e18i | − | 1.32875i | −0.747401 | − | 0.664373i | \(-0.768699\pi\) | ||
0.747401 | − | 0.664373i | \(-0.231301\pi\) | |||||||
\(284\) | 4.22937e18 | − | 1.78133e18i | 1.68418 | − | 0.709343i | ||||
\(285\) | −4.10075e17 | − | 5.39761e17i | −0.159047 | − | 0.209346i | ||||
\(286\) | 5.78054e17 | + | 2.86169e18i | 0.218385 | + | 1.08113i | ||||
\(287\) | −4.90384e17 | −0.180477 | ||||||||
\(288\) | 2.08720e18 | − | 1.84985e18i | 0.748377 | − | 0.663274i | ||||
\(289\) | 1.67380e18 | 0.584750 | ||||||||
\(290\) | 9.53721e16 | + | 4.72145e17i | 0.0324666 | + | 0.160727i | ||||
\(291\) | −4.52636e17 | − | 5.95782e17i | −0.150159 | − | 0.197647i | ||||
\(292\) | −4.03708e18 | + | 1.70034e18i | −1.30526 | + | 0.549749i | ||||
\(293\) | − | 4.82189e18i | − | 1.51953i | −0.650195 | − | 0.759767i | \(-0.725313\pi\) | ||
0.650195 | − | 0.759767i | \(-0.274687\pi\) | |||||||
\(294\) | −1.93253e18 | + | 2.19551e18i | −0.593639 | + | 0.674420i | ||||
\(295\) | 4.66052e17i | 0.139563i | ||||||||
\(296\) | −1.41061e18 | − | 2.07100e18i | −0.411832 | − | 0.604633i | ||||
\(297\) | 2.77707e18 | − | 1.10376e18i | 0.790522 | − | 0.314195i | ||||
\(298\) | −1.07224e17 | + | 2.16590e16i | −0.0297625 | + | 0.00601196i | ||||
\(299\) | −4.28815e18 | −1.16074 | ||||||||
\(300\) | 3.16210e18 | + | 1.82086e18i | 0.834769 | + | 0.480691i | ||||
\(301\) | −2.00815e18 | −0.517069 | ||||||||
\(302\) | 2.39886e18 | − | 4.84565e17i | 0.602495 | − | 0.121703i | ||||
\(303\) | −2.17365e18 | + | 1.65140e18i | −0.532562 | + | 0.404605i | ||||
\(304\) | −4.10649e18 | − | 4.01018e18i | −0.981563 | − | 0.958545i | ||||
\(305\) | 3.22228e17i | 0.0751476i | ||||||||
\(306\) | −2.03934e17 | + | 2.82447e18i | −0.0464065 | + | 0.642726i | ||||
\(307\) | − | 2.84934e18i | − | 0.632713i | −0.948640 | − | 0.316357i | \(-0.897540\pi\) | ||
0.948640 | − | 0.316357i | \(-0.102460\pi\) | |||||||
\(308\) | −4.85508e17 | − | 1.15273e18i | −0.105212 | − | 0.249803i | ||||
\(309\) | 4.65126e18 | − | 3.53372e18i | 0.983744 | − | 0.747384i | ||||
\(310\) | 1.53461e17 | + | 7.59717e17i | 0.0316800 | + | 0.156834i | ||||
\(311\) | −4.50890e18 | −0.908589 | −0.454295 | − | 0.890851i | \(-0.650109\pi\) | ||||
−0.454295 | + | 0.890851i | \(0.650109\pi\) | |||||||
\(312\) | −2.09303e18 | + | 6.24996e18i | −0.411733 | + | 1.22947i | ||||
\(313\) | −3.78043e18 | −0.726037 | −0.363018 | − | 0.931782i | \(-0.618254\pi\) | ||||
−0.363018 | + | 0.931782i | \(0.618254\pi\) | |||||||
\(314\) | −8.35524e17 | − | 4.13631e18i | −0.156670 | − | 0.775605i | ||||
\(315\) | 8.94016e16 | − | 3.21290e17i | 0.0163688 | − | 0.0588258i | ||||
\(316\) | 1.55509e18 | + | 3.69222e18i | 0.278037 | + | 0.660138i | ||||
\(317\) | 1.09502e19i | 1.91195i | 0.293440 | + | 0.955977i | \(0.405200\pi\) | ||||
−0.293440 | + | 0.955977i | \(0.594800\pi\) | |||||||
\(318\) | 4.11592e17 | + | 3.62292e17i | 0.0701882 | + | 0.0617811i | ||||
\(319\) | 4.37019e18i | 0.727898i | ||||||||
\(320\) | −1.09604e18 | − | 4.31309e17i | −0.178321 | − | 0.0701719i | ||||
\(321\) | −3.83815e18 | − | 5.05197e18i | −0.610006 | − | 0.802921i | ||||
\(322\) | 1.80081e18 | − | 3.63759e17i | 0.279607 | − | 0.0564800i | ||||
\(323\) | 5.82794e18 | 0.884090 | ||||||||
\(324\) | 6.67666e18 | + | 9.69197e17i | 0.989628 | + | 0.143656i | ||||
\(325\) | −8.62334e18 | −1.24897 | ||||||||
\(326\) | 1.97417e17 | − | 3.98777e16i | 0.0279416 | − | 0.00564414i | ||||
\(327\) | 6.06242e18 | + | 7.97966e18i | 0.838567 | + | 1.10376i | ||||
\(328\) | −3.46274e18 | + | 2.35856e18i | −0.468130 | + | 0.318856i | ||||
\(329\) | 4.44348e18i | 0.587156i | ||||||||
\(330\) | −9.47349e17 | − | 8.33876e17i | −0.122364 | − | 0.107708i | ||||
\(331\) | − | 3.37469e18i | − | 0.426112i | −0.977040 | − | 0.213056i | \(-0.931658\pi\) | ||
0.977040 | − | 0.213056i | \(-0.0683417\pi\) | |||||||
\(332\) | 2.42510e18 | − | 1.02140e18i | 0.299360 | − | 0.126085i | ||||
\(333\) | 1.62494e18 | − | 5.83969e18i | 0.196113 | − | 0.704788i | ||||
\(334\) | −2.59695e18 | − | 1.28563e19i | −0.306454 | − | 1.51711i | ||||
\(335\) | −9.23268e17 | −0.106535 | ||||||||
\(336\) | 3.48790e17 | − | 2.80222e18i | 0.0393568 | − | 0.316197i | ||||
\(337\) | 8.45680e18 | 0.933215 | 0.466608 | − | 0.884464i | \(-0.345476\pi\) | ||||
0.466608 | + | 0.884464i | \(0.345476\pi\) | |||||||
\(338\) | −1.24957e18 | − | 6.18605e18i | −0.134860 | − | 0.667633i | ||||
\(339\) | 1.40172e19 | − | 1.06494e19i | 1.47967 | − | 1.12415i | ||||
\(340\) | 1.10218e18 | − | 4.64216e17i | 0.113805 | − | 0.0479323i | ||||
\(341\) | 7.03198e18i | 0.710264i | ||||||||
\(342\) | 9.99910e17 | − | 1.38487e19i | 0.0988019 | − | 1.36840i | ||||
\(343\) | 6.25757e18i | 0.604922i | ||||||||
\(344\) | −1.41801e19 | + | 9.65847e18i | −1.34120 | + | 0.913524i | ||||
\(345\) | 1.47606e18 | − | 1.12141e18i | 0.136603 | − | 0.103782i | ||||
\(346\) | 1.17635e19 | − | 2.37620e18i | 1.06528 | − | 0.215185i | ||||
\(347\) | 1.70796e19 | 1.51359 | 0.756793 | − | 0.653654i | \(-0.226765\pi\) | ||||
0.756793 | + | 0.653654i | \(0.226765\pi\) | |||||||
\(348\) | −4.92343e18 | + | 8.55003e18i | −0.426995 | + | 0.741520i | ||||
\(349\) | 1.14186e19 | 0.969222 | 0.484611 | − | 0.874730i | \(-0.338961\pi\) | ||||
0.484611 | + | 0.874730i | \(0.338961\pi\) | |||||||
\(350\) | 3.62137e18 | − | 7.31508e17i | 0.300859 | − | 0.0607728i | ||||
\(351\) | −1.48168e19 | + | 5.88897e18i | −1.20490 | + | 0.478890i | ||||
\(352\) | −8.97250e18 | − | 5.80464e18i | −0.714239 | − | 0.462067i | ||||
\(353\) | − | 4.25349e18i | − | 0.331463i | −0.986171 | − | 0.165731i | \(-0.947002\pi\) | ||
0.986171 | − | 0.165731i | \(-0.0529985\pi\) | |||||||
\(354\) | −6.30734e18 | + | 7.16564e18i | −0.481196 | + | 0.546676i | ||||
\(355\) | − | 4.68843e18i | − | 0.350199i | ||||||
\(356\) | −6.17407e18 | − | 1.46590e19i | −0.451540 | − | 1.07208i | ||||
\(357\) | 1.73453e18 | + | 2.28307e18i | 0.124214 | + | 0.163496i | ||||
\(358\) | −1.01892e18 | − | 5.04421e18i | −0.0714524 | − | 0.353729i | ||||
\(359\) | −8.34588e18 | −0.573144 | −0.286572 | − | 0.958059i | \(-0.592516\pi\) | ||||
−0.286572 | + | 0.958059i | \(0.592516\pi\) | |||||||
\(360\) | −9.13994e17 | − | 2.69870e18i | −0.0614716 | − | 0.181504i | ||||
\(361\) | −1.33939e19 | −0.882275 | ||||||||
\(362\) | 1.93572e18 | + | 9.58290e18i | 0.124890 | + | 0.618276i | ||||
\(363\) | 2.64538e18 | + | 3.48198e18i | 0.167181 | + | 0.220053i | ||||
\(364\) | 2.59038e18 | + | 6.15027e18i | 0.160362 | + | 0.380745i | ||||
\(365\) | 4.47527e18i | 0.271408i | ||||||||
\(366\) | −4.36089e18 | + | 4.95432e18i | −0.259100 | + | 0.294358i | ||||
\(367\) | 2.22875e19i | 1.29737i | 0.761055 | + | 0.648687i | \(0.224682\pi\) | ||||
−0.761055 | + | 0.648687i | \(0.775318\pi\) | |||||||
\(368\) | 1.09665e19 | − | 1.12298e19i | 0.625472 | − | 0.640492i | ||||
\(369\) | −9.76406e18 | − | 2.71693e18i | −0.545673 | − | 0.151838i | ||||
\(370\) | −2.50927e18 | + | 5.06866e17i | −0.137415 | + | 0.0277575i | ||||
\(371\) | 5.55184e17 | 0.0297943 | ||||||||
\(372\) | −7.92217e18 | + | 1.37576e19i | −0.416651 | + | 0.723556i | ||||
\(373\) | 6.53051e18 | 0.336613 | 0.168306 | − | 0.985735i | \(-0.446170\pi\) | ||||
0.168306 | + | 0.985735i | \(0.446170\pi\) | |||||||
\(374\) | 1.06358e19 | − | 2.14840e18i | 0.537320 | − | 0.108537i | ||||
\(375\) | 6.04978e18 | − | 4.59622e18i | 0.299575 | − | 0.227597i | ||||
\(376\) | 2.13714e19 | + | 3.13766e19i | 1.03735 | + | 1.52299i | ||||
\(377\) | − | 2.33167e19i | − | 1.10945i | ||||||
\(378\) | 5.72275e18 | − | 3.72996e18i | 0.266942 | − | 0.173987i | ||||
\(379\) | − | 2.46209e19i | − | 1.12592i | −0.826482 | − | 0.562962i | \(-0.809662\pi\) | ||
0.826482 | − | 0.562962i | \(-0.190338\pi\) | |||||||
\(380\) | −5.40411e18 | + | 2.27610e18i | −0.242296 | + | 0.102051i | ||||
\(381\) | −2.85798e19 | + | 2.17130e19i | −1.25638 | + | 0.954515i | ||||
\(382\) | 4.33852e18 | + | 2.14781e19i | 0.187011 | + | 0.925807i | ||||
\(383\) | −2.66962e19 | −1.12839 | −0.564195 | − | 0.825642i | \(-0.690813\pi\) | ||||
−0.564195 | + | 0.825642i | \(0.690813\pi\) | |||||||
\(384\) | −1.10147e19 | − | 2.14648e19i | −0.456551 | − | 0.889697i | ||||
\(385\) | −1.27785e18 | −0.0519427 | ||||||||
\(386\) | 1.97794e18 | + | 9.79188e18i | 0.0788511 | + | 0.390356i | ||||
\(387\) | −3.99844e19 | − | 1.11260e19i | −1.56336 | − | 0.435018i | ||||
\(388\) | −5.96500e18 | + | 2.51234e18i | −0.228756 | + | 0.0963475i | ||||
\(389\) | − | 1.39097e19i | − | 0.523232i | −0.965172 | − | 0.261616i | \(-0.915745\pi\) | ||
0.965172 | − | 0.261616i | \(-0.0842555\pi\) | |||||||
\(390\) | 5.05448e18 | + | 4.44906e18i | 0.186506 | + | 0.164166i | ||||
\(391\) | 1.59374e19i | 0.576889i | ||||||||
\(392\) | 1.42435e19 | + | 2.09117e19i | 0.505791 | + | 0.742580i | ||||
\(393\) | 1.59280e19 | + | 2.09652e19i | 0.554902 | + | 0.730390i | ||||
\(394\) | −4.17107e18 | + | 8.42546e17i | −0.142569 | + | 0.0287986i | ||||
\(395\) | 4.09298e18 | 0.137266 | ||||||||
\(396\) | −3.28035e18 | − | 2.56420e19i | −0.107946 | − | 0.843796i | ||||
\(397\) | 3.59590e19 | 1.16113 | 0.580563 | − | 0.814216i | \(-0.302833\pi\) | ||||
0.580563 | + | 0.814216i | \(0.302833\pi\) | |||||||
\(398\) | −6.09012e18 | + | 1.23019e18i | −0.192976 | + | 0.0389806i | ||||
\(399\) | −8.50457e18 | − | 1.11942e19i | −0.264457 | − | 0.348092i | ||||
\(400\) | 2.20532e19 | − | 2.25828e19i | 0.673011 | − | 0.689173i | ||||
\(401\) | − | 3.03739e19i | − | 0.909742i | −0.890557 | − | 0.454871i | \(-0.849685\pi\) | ||
0.890557 | − | 0.454871i | \(-0.150315\pi\) | |||||||
\(402\) | −1.41954e19 | − | 1.24951e19i | −0.417304 | − | 0.367320i | ||||
\(403\) | − | 3.75184e19i | − | 1.08257i | ||||||
\(404\) | 9.16602e18 | + | 2.17627e19i | 0.259610 | + | 0.616385i | ||||
\(405\) | 3.56016e18 | − | 5.90189e18i | 0.0989820 | − | 0.164089i | ||||
\(406\) | 1.97793e18 | + | 9.79185e18i | 0.0539841 | + | 0.267251i | ||||
\(407\) | −2.32259e19 | −0.622322 | ||||||||
\(408\) | 2.32287e19 | + | 7.77898e18i | 0.611045 | + | 0.204631i | ||||
\(409\) | 3.50607e19 | 0.905515 | 0.452758 | − | 0.891634i | \(-0.350440\pi\) | ||||
0.452758 | + | 0.891634i | \(0.350440\pi\) | |||||||
\(410\) | 8.47488e17 | + | 4.19554e18i | 0.0214909 | + | 0.106392i | ||||
\(411\) | 5.46209e19 | − | 4.14974e19i | 1.36002 | − | 1.03325i | ||||
\(412\) | −1.96138e19 | − | 4.65686e19i | −0.479549 | − | 1.13858i | ||||
\(413\) | 9.66551e18i | 0.232059i | ||||||||
\(414\) | 3.78713e19 | + | 2.73441e18i | 0.892911 | + | 0.0644705i | ||||
\(415\) | − | 2.68832e18i | − | 0.0622474i | ||||||
\(416\) | 4.78719e19 | + | 3.09700e19i | 1.08863 | + | 0.704274i | ||||
\(417\) | 4.14370e18 | − | 3.14811e18i | 0.0925482 | − | 0.0703119i | ||||
\(418\) | −5.21485e19 | + | 1.05339e19i | −1.14398 | + | 0.231082i | ||||
\(419\) | 6.29350e19 | 1.35609 | 0.678043 | − | 0.735022i | \(-0.262828\pi\) | ||||
0.678043 | + | 0.735022i | \(0.262828\pi\) | |||||||
\(420\) | −2.50004e18 | − | 1.43962e18i | −0.0529148 | − | 0.0304703i | ||||
\(421\) | −6.75888e19 | −1.40527 | −0.702634 | − | 0.711551i | \(-0.747993\pi\) | ||||
−0.702634 | + | 0.711551i | \(0.747993\pi\) | |||||||
\(422\) | −6.63580e19 | + | 1.34042e19i | −1.35535 | + | 0.273777i | ||||
\(423\) | −2.46187e19 | + | 8.84742e19i | −0.493983 | + | 1.77527i | ||||
\(424\) | 3.92031e18 | − | 2.67023e18i | 0.0772817 | − | 0.0526386i | ||||
\(425\) | 3.20496e19i | 0.620735i | ||||||||
\(426\) | 6.34511e19 | − | 7.20854e19i | 1.20744 | − | 1.37175i | ||||
\(427\) | 6.68273e18i | 0.124952i | ||||||||
\(428\) | −5.05805e19 | + | 2.13035e19i | −0.929297 | + | 0.391402i | ||||
\(429\) | 3.69581e19 | + | 4.86462e19i | 0.667237 | + | 0.878251i | ||||
\(430\) | 3.47052e18 | + | 1.71810e19i | 0.0615716 | + | 0.304814i | ||||
\(431\) | 3.94732e18 | 0.0688213 | 0.0344106 | − | 0.999408i | \(-0.489045\pi\) | ||||
0.0344106 | + | 0.999408i | \(0.489045\pi\) | |||||||
\(432\) | 2.24702e19 | − | 5.38626e19i | 0.385016 | − | 0.922910i | ||||
\(433\) | −7.21093e19 | −1.21432 | −0.607159 | − | 0.794581i | \(-0.707691\pi\) | ||||
−0.607159 | + | 0.794581i | \(0.707691\pi\) | |||||||
\(434\) | 3.18264e18 | + | 1.57558e19i | 0.0526762 | + | 0.260777i | ||||
\(435\) | 6.09765e18 | + | 8.02604e18i | 0.0991957 | + | 0.130566i | ||||
\(436\) | 7.98927e19 | − | 3.36492e19i | 1.27749 | − | 0.538055i | ||||
\(437\) | − | 7.81429e19i | − | 1.22823i | ||||||
\(438\) | −6.05663e19 | + | 6.88081e19i | −0.935783 | + | 1.06312i | ||||
\(439\) | 2.88017e19i | 0.437455i | 0.975786 | + | 0.218728i | \(0.0701906\pi\) | ||||
−0.975786 | + | 0.218728i | \(0.929809\pi\) | |||||||
\(440\) | −9.02325e18 | + | 6.14598e18i | −0.134731 | + | 0.0917690i | ||||
\(441\) | −1.64077e19 | + | 5.89657e19i | −0.240856 | + | 0.865585i | ||||
\(442\) | −5.67462e19 | + | 1.14626e19i | −0.818973 | + | 0.165431i | ||||
\(443\) | 1.56016e19 | 0.221381 | 0.110691 | − | 0.993855i | \(-0.464694\pi\) | ||||
0.110691 | + | 0.993855i | \(0.464694\pi\) | |||||||
\(444\) | −4.54401e19 | − | 2.61661e19i | −0.633968 | − | 0.365063i | ||||
\(445\) | −1.62501e19 | −0.222923 | ||||||||
\(446\) | −3.83475e19 | + | 7.74610e18i | −0.517280 | + | 0.104489i | ||||
\(447\) | −1.82271e18 | + | 1.38478e18i | −0.0241775 | + | 0.0183685i | ||||
\(448\) | −2.27309e19 | − | 8.94495e18i | −0.296505 | − | 0.116679i | ||||
\(449\) | − | 3.01854e19i | − | 0.387213i | −0.981079 | − | 0.193606i | \(-0.937982\pi\) | ||
0.981079 | − | 0.193606i | \(-0.0620184\pi\) | |||||||
\(450\) | 7.61581e19 | + | 5.49881e18i | 0.960776 | + | 0.0693706i | ||||
\(451\) | 3.88341e19i | 0.481825i | ||||||||
\(452\) | −5.91089e19 | − | 1.40341e20i | −0.721298 | − | 1.71256i | ||||
\(453\) | 4.07785e19 | − | 3.09808e19i | 0.489435 | − | 0.371840i | ||||
\(454\) | −1.02518e19 | − | 5.07521e19i | −0.121027 | − | 0.599149i | ||||
\(455\) | 6.81783e18 | 0.0791701 | ||||||||
\(456\) | −1.13893e20 | − | 3.81412e19i | −1.30095 | − | 0.435670i | ||||
\(457\) | 2.51719e19 | 0.282843 | 0.141421 | − | 0.989949i | \(-0.454833\pi\) | ||||
0.141421 | + | 0.989949i | \(0.454833\pi\) | |||||||
\(458\) | 2.45310e18 | + | 1.21442e19i | 0.0271159 | + | 0.134239i | ||||
\(459\) | 2.18870e19 | + | 5.50683e19i | 0.238008 | + | 0.598834i | ||||
\(460\) | −6.22436e18 | − | 1.47784e19i | −0.0665903 | − | 0.158104i | ||||
\(461\) | − | 6.57492e19i | − | 0.692044i | −0.938226 | − | 0.346022i | \(-0.887532\pi\) | ||
0.938226 | − | 0.346022i | \(-0.112468\pi\) | |||||||
\(462\) | −1.96472e19 | − | 1.72938e19i | −0.203463 | − | 0.179092i | ||||
\(463\) | 1.03671e20i | 1.05633i | 0.849143 | + | 0.528163i | \(0.177119\pi\) | ||||
−0.849143 | + | 0.528163i | \(0.822881\pi\) | |||||||
\(464\) | 6.10618e19 | + | 5.96299e19i | 0.612188 | + | 0.597832i | ||||
\(465\) | 9.81158e18 | + | 1.29145e19i | 0.0967925 | + | 0.127403i | ||||
\(466\) | −8.48027e19 | + | 1.71299e19i | −0.823219 | + | 0.166288i | ||||
\(467\) | 2.32853e19 | 0.222436 | 0.111218 | − | 0.993796i | \(-0.464525\pi\) | ||||
0.111218 | + | 0.993796i | \(0.464525\pi\) | |||||||
\(468\) | 1.75020e19 | + | 1.36810e20i | 0.164529 | + | 1.28610i | ||||
\(469\) | −1.91478e19 | −0.177142 | ||||||||
\(470\) | 3.80166e19 | − | 7.67927e18i | 0.346130 | − | 0.0699175i | ||||
\(471\) | −5.34195e19 | − | 7.03135e19i | −0.478678 | − | 0.630060i | ||||
\(472\) | 4.64875e19 | + | 6.82508e19i | 0.409988 | + | 0.601926i | ||||
\(473\) | 1.59028e20i | 1.38043i | ||||||||
\(474\) | 6.29303e19 | + | 5.53925e19i | 0.537678 | + | 0.473275i | ||||
\(475\) | − | 1.57143e20i | − | 1.32158i | ||||||
\(476\) | 2.28582e19 | − | 9.62743e18i | 0.189230 | − | 0.0796999i | ||||
\(477\) | 1.10543e19 | + | 3.07595e18i | 0.0900830 | + | 0.0250664i | ||||
\(478\) | −8.79695e18 | − | 4.35498e19i | −0.0705704 | − | 0.349363i | ||||
\(479\) | 1.24139e20 | 0.980377 | 0.490188 | − | 0.871617i | \(-0.336928\pi\) | ||||
0.490188 | + | 0.871617i | \(0.336928\pi\) | |||||||
\(480\) | −2.45775e19 | + | 1.85871e18i | −0.191086 | + | 0.0144512i | ||||
\(481\) | 1.23920e20 | 0.948531 | ||||||||
\(482\) | −9.31069e17 | − | 4.60931e18i | −0.00701663 | − | 0.0347362i | ||||
\(483\) | 3.06121e19 | − | 2.32571e19i | 0.227138 | − | 0.172565i | ||||
\(484\) | 3.48617e19 | − | 1.46831e19i | 0.254688 | − | 0.107270i | ||||
\(485\) | 6.61245e18i | 0.0475663i | ||||||||
\(486\) | 1.34611e20 | − | 4.25610e19i | 0.953477 | − | 0.301467i | ||||
\(487\) | − | 1.13270e20i | − | 0.790040i | −0.918673 | − | 0.395020i | \(-0.870738\pi\) | ||
0.918673 | − | 0.395020i | \(-0.129262\pi\) | |||||||
\(488\) | 3.21414e19 | + | 4.71886e19i | 0.220758 | + | 0.324107i | ||||
\(489\) | 3.35591e18 | − | 2.54959e18i | 0.0226983 | − | 0.0172447i | ||||
\(490\) | 2.53371e19 | − | 5.11803e18i | 0.168766 | − | 0.0340904i | ||||
\(491\) | −2.07059e20 | −1.35826 | −0.679130 | − | 0.734018i | \(-0.737643\pi\) | ||||
−0.679130 | + | 0.734018i | \(0.737643\pi\) | |||||||
\(492\) | −4.37502e19 | + | 7.59766e19i | −0.282645 | + | 0.490842i | ||||
\(493\) | −8.66592e19 | −0.551395 | ||||||||
\(494\) | 2.78233e20 | − | 5.62024e19i | 1.74364 | − | 0.352211i | ||||
\(495\) | −2.54433e19 | − | 7.07982e18i | −0.157049 | − | 0.0437002i | ||||
\(496\) | 9.82532e19 | + | 9.59490e19i | 0.597357 | + | 0.583348i | ||||
\(497\) | − | 9.72338e19i | − | 0.582297i | ||||||
\(498\) | 3.63825e19 | − | 4.13334e19i | 0.214621 | − | 0.243827i | ||||
\(499\) | − | 1.45331e20i | − | 0.844509i | −0.906477 | − | 0.422255i | \(-0.861239\pi\) | ||
0.906477 | − | 0.422255i | \(-0.138761\pi\) | |||||||
\(500\) | −2.55112e19 | − | 6.05706e19i | −0.146034 | − | 0.346727i | ||||
\(501\) | −1.66037e20 | − | 2.18546e20i | −0.936314 | − | 1.23242i | ||||
\(502\) | −2.65530e19 | − | 1.31452e20i | −0.147515 | − | 0.730279i | ||||
\(503\) | −2.35769e20 | −1.29041 | −0.645203 | − | 0.764011i | \(-0.723227\pi\) | ||||
−0.645203 | + | 0.764011i | \(0.723227\pi\) | |||||||
\(504\) | −1.89554e19 | − | 5.59687e19i | −0.102212 | − | 0.301798i | ||||
\(505\) | 2.41248e19 | 0.128168 | ||||||||
\(506\) | −2.88065e19 | − | 1.42608e20i | −0.150786 | − | 0.746475i | ||||
\(507\) | −7.98915e19 | − | 1.05157e20i | −0.412042 | − | 0.542350i | ||||
\(508\) | 1.20517e20 | + | 2.86142e20i | 0.612451 | + | 1.45413i | ||||
\(509\) | 3.29459e20i | 1.64975i | 0.565314 | + | 0.824876i | \(0.308755\pi\) | ||||
−0.565314 | + | 0.824876i | \(0.691245\pi\) | |||||||
\(510\) | 1.65354e19 | − | 1.87856e19i | 0.0815904 | − | 0.0926931i | ||||
\(511\) | 9.28131e19i | 0.451287i | ||||||||
\(512\) | −2.03531e20 | + | 4.61645e19i | −0.975229 | + | 0.221199i | ||||
\(513\) | −1.07315e20 | − | 2.70006e20i | −0.506732 | − | 1.27495i | ||||
\(514\) | −4.56260e19 | + | 9.21634e18i | −0.212319 | + | 0.0428879i | ||||
\(515\) | −5.16232e19 | −0.236751 | ||||||||
\(516\) | −1.79160e20 | + | 3.11129e20i | −0.809781 | + | 1.40627i | ||||
\(517\) | 3.51884e20 | 1.56755 | ||||||||
\(518\) | −5.20400e19 | + | 1.05119e19i | −0.228488 | + | 0.0461541i | ||||
\(519\) | 1.99969e20 | − | 1.51923e20i | 0.865380 | − | 0.657458i | ||||
\(520\) | 4.81426e19 | − | 3.27912e19i | 0.205355 | − | 0.139873i | ||||
\(521\) | 3.04901e20i | 1.28197i | 0.767555 | + | 0.640983i | \(0.221473\pi\) | ||||
−0.767555 | + | 0.640983i | \(0.778527\pi\) | |||||||
\(522\) | −1.48683e19 | + | 2.05924e20i | −0.0616215 | + | 0.853452i | ||||
\(523\) | 3.94730e20i | 1.61264i | 0.591479 | + | 0.806320i | \(0.298544\pi\) | ||||
−0.591479 | + | 0.806320i | \(0.701456\pi\) | |||||||
\(524\) | 2.09904e20 | − | 8.84076e19i | 0.845350 | − | 0.356045i | ||||
\(525\) | 6.15601e19 | − | 4.67693e19i | 0.244402 | − | 0.185680i | ||||
\(526\) | 4.06930e19 | + | 2.01453e20i | 0.159267 | + | 0.788461i | ||||
\(527\) | −1.39441e20 | −0.538037 | ||||||||
\(528\) | −2.21911e20 | − | 2.76211e19i | −0.844159 | − | 0.105072i | ||||
\(529\) | −5.29415e19 | −0.198554 | ||||||||
\(530\) | −9.59476e17 | − | 4.74994e18i | −0.00354785 | − | 0.0175638i | ||||
\(531\) | −5.35509e19 | + | 1.92450e20i | −0.195235 | + | 0.701632i | ||||
\(532\) | −1.12076e20 | + | 4.72044e19i | −0.402881 | + | 0.169686i | ||||
\(533\) | − | 2.07195e20i | − | 0.734388i | ||||||
\(534\) | −2.49848e20 | − | 2.19921e20i | −0.873204 | − | 0.768612i | ||||
\(535\) | 5.60706e19i | 0.193233i | ||||||||
\(536\) | −1.35208e20 | + | 9.20935e19i | −0.459478 | + | 0.312963i | ||||
\(537\) | −6.51450e19 | − | 8.57471e19i | −0.218310 | − | 0.287351i | ||||
\(538\) | −1.43072e20 | + | 2.89003e19i | −0.472813 | + | 0.0955070i | ||||
\(539\) | 2.34521e20 | 0.764304 | ||||||||
\(540\) | −4.18022e19 | − | 4.25155e19i | −0.134353 | − | 0.136645i | ||||
\(541\) | −1.95036e20 | −0.618209 | −0.309104 | − | 0.951028i | \(-0.600029\pi\) | ||||
−0.309104 | + | 0.951028i | \(0.600029\pi\) | |||||||
\(542\) | 1.29177e20 | − | 2.60934e19i | 0.403821 | − | 0.0815709i | ||||
\(543\) | 1.23761e20 | + | 1.62901e20i | 0.381580 | + | 0.502255i | ||||
\(544\) | 1.15104e20 | − | 1.77921e20i | 0.350024 | − | 0.541048i | ||||
\(545\) | − | 8.85643e19i | − | 0.265635i | ||||||
\(546\) | 1.04825e20 | + | 9.22694e19i | 0.310114 | + | 0.272969i | ||||
\(547\) | 1.38572e20i | 0.404363i | 0.979348 | + | 0.202182i | \(0.0648031\pi\) | ||||
−0.979348 | + | 0.202182i | \(0.935197\pi\) | |||||||
\(548\) | −2.30330e20 | − | 5.46867e20i | −0.662973 | − | 1.57408i | ||||
\(549\) | −3.70251e19 | + | 1.33060e20i | −0.105124 | + | 0.377794i | ||||
\(550\) | −5.79290e19 | − | 2.86781e20i | −0.162247 | − | 0.803211i | ||||
\(551\) | 4.24900e20 | 1.17395 | ||||||||
\(552\) | 1.04303e20 | − | 3.11457e20i | 0.284285 | − | 0.848898i | ||||
\(553\) | 8.48847e19 | 0.228240 | ||||||||
\(554\) | −1.18633e19 | − | 5.87297e19i | −0.0314688 | − | 0.155788i | ||||
\(555\) | −4.26553e19 | + | 3.24067e19i | −0.111629 | + | 0.0848081i | ||||
\(556\) | −1.74735e19 | − | 4.14869e19i | −0.0451147 | − | 0.107115i | ||||
\(557\) | 4.79131e20i | 1.22051i | 0.792206 | + | 0.610253i | \(0.208932\pi\) | ||||
−0.792206 | + | 0.610253i | \(0.791068\pi\) | |||||||
\(558\) | −2.39242e19 | + | 3.31348e20i | −0.0601286 | + | 0.832776i | ||||
\(559\) | − | 8.48478e20i | − | 2.10403i | ||||||
\(560\) | −1.74358e19 | + | 1.78546e19i | −0.0426612 | + | 0.0436856i | ||||
\(561\) | 1.80799e20 | − | 1.37359e20i | 0.436490 | − | 0.331616i | ||||
\(562\) | 7.56354e20 | − | 1.52782e20i | 1.80178 | − | 0.363956i | ||||
\(563\) | 1.00595e20 | 0.236463 | 0.118232 | − | 0.992986i | \(-0.462277\pi\) | ||||
0.118232 | + | 0.992986i | \(0.462277\pi\) | |||||||
\(564\) | 6.88440e20 | + | 3.96430e20i | 1.59688 | + | 0.919545i | ||||
\(565\) | −1.55574e20 | −0.356101 | ||||||||
\(566\) | −5.76608e20 | + | 1.16473e20i | −1.30244 | + | 0.263090i | ||||
\(567\) | 7.38344e19 | − | 1.22400e20i | 0.164583 | − | 0.272840i | ||||
\(568\) | −4.67658e20 | − | 6.86595e20i | −1.02876 | − | 1.51039i | ||||
\(569\) | − | 9.92056e19i | − | 0.215375i | −0.994185 | − | 0.107687i | \(-0.965655\pi\) | ||
0.994185 | − | 0.107687i | \(-0.0343445\pi\) | |||||||
\(570\) | −8.10751e19 | + | 9.21077e19i | −0.173710 | + | 0.197349i | ||||
\(571\) | 6.09538e20i | 1.28893i | 0.764633 | + | 0.644466i | \(0.222920\pi\) | ||||
−0.764633 | + | 0.644466i | \(0.777080\pi\) | |||||||
\(572\) | 4.87047e20 | − | 2.05135e20i | 1.01648 | − | 0.428124i | ||||
\(573\) | 2.77385e20 | + | 3.65108e20i | 0.571378 | + | 0.752076i | ||||
\(574\) | 1.75761e19 | + | 8.70116e19i | 0.0357342 | + | 0.176904i | ||||
\(575\) | 4.29732e20 | 0.862360 | ||||||||
\(576\) | −4.03038e20 | − | 3.04042e20i | −0.798320 | − | 0.602234i | ||||
\(577\) | −8.52542e20 | −1.66685 | −0.833426 | − | 0.552630i | \(-0.813624\pi\) | ||||
−0.833426 | + | 0.552630i | \(0.813624\pi\) | |||||||
\(578\) | −5.99917e19 | − | 2.96992e20i | −0.115780 | − | 0.573174i | ||||
\(579\) | 1.26460e20 | + | 1.66453e20i | 0.240915 | + | 0.317105i | ||||
\(580\) | 8.03570e19 | − | 3.38448e19i | 0.151117 | − | 0.0636476i | ||||
\(581\) | − | 5.57534e19i | − | 0.103502i | ||||||
\(582\) | −8.94898e19 | + | 1.01667e20i | −0.164003 | + | 0.186320i | ||||
\(583\) | − | 4.39657e19i | − | 0.0795426i | ||||||
\(584\) | 4.46396e20 | + | 6.55379e20i | 0.797304 | + | 1.17057i | ||||
\(585\) | 1.35750e20 | + | 3.77736e19i | 0.239371 | + | 0.0666070i | ||||
\(586\) | −8.55576e20 | + | 1.72824e20i | −1.48945 | + | 0.300866i | ||||
\(587\) | −2.43095e20 | −0.417822 | −0.208911 | − | 0.977935i | \(-0.566992\pi\) | ||||
−0.208911 | + | 0.977935i | \(0.566992\pi\) | |||||||
\(588\) | 4.58827e20 | + | 2.64210e20i | 0.778608 | + | 0.448352i | ||||
\(589\) | 6.83696e20 | 1.14551 | ||||||||
\(590\) | 8.26943e19 | − | 1.67040e19i | 0.136800 | − | 0.0276332i | ||||
\(591\) | −7.09045e19 | + | 5.38685e19i | −0.115816 | + | 0.0879891i | ||||
\(592\) | −3.16910e20 | + | 3.24521e20i | −0.511121 | + | 0.523395i | ||||
\(593\) | − | 6.80668e20i | − | 1.08399i | −0.840382 | − | 0.541995i | \(-0.817669\pi\) | ||
0.840382 | − | 0.541995i | \(-0.182331\pi\) | |||||||
\(594\) | −2.95380e20 | − | 4.53191e20i | −0.464497 | − | 0.712661i | ||||
\(595\) | − | 2.53393e19i | − | 0.0393474i | ||||||
\(596\) | 7.68615e18 | + | 1.82491e19i | 0.0117859 | + | 0.0279830i | ||||
\(597\) | −1.03527e20 | + | 7.86526e19i | −0.156763 | + | 0.119098i | ||||
\(598\) | 1.53694e20 | + | 7.60871e20i | 0.229825 | + | 1.13776i | ||||
\(599\) | 3.33728e19 | 0.0492824 | 0.0246412 | − | 0.999696i | \(-0.492156\pi\) | ||||
0.0246412 | + | 0.999696i | \(0.492156\pi\) | |||||||
\(600\) | 2.09750e20 | − | 6.26332e20i | 0.305892 | − | 0.913419i | ||||
\(601\) | 4.44009e20 | 0.639489 | 0.319744 | − | 0.947504i | \(-0.396403\pi\) | ||||
0.319744 | + | 0.947504i | \(0.396403\pi\) | |||||||
\(602\) | 7.19754e19 | + | 3.56318e20i | 0.102379 | + | 0.506832i | ||||
\(603\) | −3.81251e20 | − | 1.06086e20i | −0.535589 | − | 0.149032i | ||||
\(604\) | −1.71958e20 | − | 4.08276e20i | −0.238586 | − | 0.566470i | ||||
\(605\) | − | 3.86456e19i | − | 0.0529585i | ||||||
\(606\) | 3.70924e20 | + | 3.26495e20i | 0.502042 | + | 0.441907i | ||||
\(607\) | 5.34672e19i | 0.0714780i | 0.999361 | + | 0.0357390i | \(0.0113785\pi\) | ||||
−0.999361 | + | 0.0357390i | \(0.988621\pi\) | |||||||
\(608\) | −5.64366e20 | + | 8.72368e20i | −0.745220 | + | 1.15192i | ||||
\(609\) | 1.26460e20 | + | 1.66453e20i | 0.164939 | + | 0.217101i | ||||
\(610\) | 5.71748e19 | − | 1.15492e19i | 0.0736598 | − | 0.0148791i | ||||
\(611\) | −1.87744e21 | −2.38922 | ||||||||
\(612\) | 5.08470e20 | − | 6.50481e19i | 0.639190 | − | 0.0817710i | ||||
\(613\) | −1.20047e21 | −1.49072 | −0.745361 | − | 0.666661i | \(-0.767723\pi\) | ||||
−0.745361 | + | 0.666661i | \(0.767723\pi\) | |||||||
\(614\) | −5.05575e20 | + | 1.02125e20i | −0.620187 | + | 0.125276i | ||||
\(615\) | 5.41845e19 | + | 7.13204e19i | 0.0656616 | + | 0.0864271i | ||||
\(616\) | −1.87134e20 | + | 1.27462e20i | −0.224026 | + | 0.152590i | ||||
\(617\) | − | 3.16260e20i | − | 0.374030i | −0.982357 | − | 0.187015i | \(-0.940119\pi\) | ||
0.982357 | − | 0.187015i | \(-0.0598812\pi\) | |||||||
\(618\) | −7.93716e20 | − | 6.98645e20i | −0.927367 | − | 0.816288i | ||||
\(619\) | − | 5.05346e20i | − | 0.583322i | −0.956522 | − | 0.291661i | \(-0.905792\pi\) | ||
0.956522 | − | 0.291661i | \(-0.0942080\pi\) | |||||||
\(620\) | 1.29300e20 | − | 5.44589e19i | 0.147456 | − | 0.0621056i | ||||
\(621\) | 7.38373e20 | − | 2.93468e20i | 0.831934 | − | 0.330654i | ||||
\(622\) | 1.61606e20 | + | 8.00039e20i | 0.179899 | + | 0.890601i | ||||
\(623\) | −3.37012e20 | −0.370668 | ||||||||
\(624\) | 1.18398e21 | + | 1.47369e20i | 1.28665 | + | 0.160149i | ||||
\(625\) | 8.29977e20 | 0.891181 | ||||||||
\(626\) | 1.35496e20 | + | 6.70783e20i | 0.143754 | + | 0.711663i | ||||
\(627\) | −8.86478e20 | + | 6.73487e20i | −0.929311 | + | 0.706029i | ||||
\(628\) | −7.03982e20 | + | 2.96503e20i | −0.729229 | + | 0.307137i | ||||
\(629\) | − | 4.60561e20i | − | 0.471419i | ||||||
\(630\) | −6.02125e19 | − | 4.34750e18i | −0.0609022 | − | 0.00439730i | ||||
\(631\) | − | 1.43095e21i | − | 1.43022i | −0.699010 | − | 0.715112i | \(-0.746376\pi\) | ||
0.699010 | − | 0.715112i | \(-0.253624\pi\) | |||||||
\(632\) | 5.99394e20 | − | 4.08264e20i | 0.592018 | − | 0.403239i | ||||
\(633\) | −1.12803e21 | + | 8.57000e20i | −1.10101 | + | 0.836475i | ||||
\(634\) | 1.94296e21 | − | 3.92472e20i | 1.87410 | − | 0.378564i | ||||
\(635\) | 3.17200e20 | 0.302364 | ||||||||
\(636\) | 4.95314e19 | − | 8.60162e19i | 0.0466608 | − | 0.0810312i | ||||
\(637\) | −1.25126e21 | −1.16494 | ||||||||
\(638\) | 7.75428e20 | − | 1.56635e20i | 0.713487 | − | 0.144123i | ||||
\(639\) | 5.38716e20 | − | 1.93603e21i | 0.489895 | − | 1.76058i | ||||
\(640\) | −3.72456e19 | + | 2.09936e20i | −0.0334754 | + | 0.188685i | ||||
\(641\) | 2.62366e20i | 0.233062i | 0.993187 | + | 0.116531i | \(0.0371775\pi\) | ||||
−0.993187 | + | 0.116531i | \(0.962823\pi\) | |||||||
\(642\) | −7.58833e20 | + | 8.62094e20i | −0.666244 | + | 0.756906i | ||||
\(643\) | 1.31607e21i | 1.14208i | 0.820923 | + | 0.571039i | \(0.193460\pi\) | ||||
−0.820923 | + | 0.571039i | \(0.806540\pi\) | |||||||
\(644\) | −1.29088e20 | − | 3.06490e20i | −0.110724 | − | 0.262889i | ||||
\(645\) | 2.21889e20 | + | 2.92061e20i | 0.188121 | + | 0.247615i | ||||
\(646\) | −2.08882e20 | − | 1.03408e21i | −0.175048 | − | 0.866587i | ||||
\(647\) | 1.95960e21 | 1.62325 | 0.811625 | − | 0.584179i | \(-0.198583\pi\) | ||||
0.811625 | + | 0.584179i | \(0.198583\pi\) | |||||||
\(648\) | −6.73319e19 | − | 1.21941e21i | −0.0551325 | − | 0.998479i | ||||
\(649\) | 7.65422e20 | 0.619535 | ||||||||
\(650\) | 3.09074e20 | + | 1.53009e21i | 0.247293 | + | 1.22424i | ||||
\(651\) | 2.03483e20 | + | 2.67835e20i | 0.160943 | + | 0.211841i | ||||
\(652\) | −1.41514e19 | − | 3.35995e19i | −0.0110648 | − | 0.0262709i | ||||
\(653\) | − | 1.59848e21i | − | 1.23555i | −0.786356 | − | 0.617773i | \(-0.788035\pi\) | ||
0.786356 | − | 0.617773i | \(-0.211965\pi\) | |||||||
\(654\) | 1.19859e21 | − | 1.36169e21i | 0.915877 | − | 1.04051i | ||||
\(655\) | − | 2.32688e20i | − | 0.175778i | ||||||
\(656\) | 5.42603e20 | + | 5.29879e20i | 0.405232 | + | 0.395729i | ||||
\(657\) | −5.14223e20 | + | 1.84800e21i | −0.379674 | + | 1.36447i | ||||
\(658\) | 7.88431e20 | − | 1.59261e20i | 0.575532 | − | 0.116256i | ||||
\(659\) | 4.07387e20 | 0.294013 | 0.147006 | − | 0.989136i | \(-0.453036\pi\) | ||||
0.147006 | + | 0.989136i | \(0.453036\pi\) | |||||||
\(660\) | −1.14005e20 | + | 1.97981e20i | −0.0813474 | + | 0.141268i | ||||
\(661\) | 2.34291e21 | 1.65289 | 0.826445 | − | 0.563017i | \(-0.190359\pi\) | ||||
0.826445 | + | 0.563017i | \(0.190359\pi\) | |||||||
\(662\) | −5.98790e20 | + | 1.20954e20i | −0.417676 | + | 0.0843696i | ||||
\(663\) | −9.64634e20 | + | 7.32865e20i | −0.665290 | + | 0.505443i | ||||
\(664\) | −2.68153e20 | − | 3.93690e20i | −0.182861 | − | 0.268469i | ||||
\(665\) | 1.24241e20i | 0.0837729i | ||||||||
\(666\) | −1.09441e21 | − | 7.90193e19i | −0.729665 | − | 0.0526837i | ||||
\(667\) | 1.16195e21i | 0.766029i | ||||||||
\(668\) | −2.18809e21 | + | 9.21582e20i | −1.42640 | + | 0.600773i | ||||
\(669\) | −6.51873e20 | + | 4.95250e20i | −0.420211 | + | 0.319248i | ||||
\(670\) | 3.30914e19 | + | 1.63821e20i | 0.0210938 | + | 0.104426i | ||||
\(671\) | 5.29213e20 | 0.333589 | ||||||||
\(672\) | −5.09714e20 | + | 3.85481e19i | −0.317729 | + | 0.0240289i | ||||
\(673\) | 1.04917e21 | 0.646746 | 0.323373 | − | 0.946272i | \(-0.395183\pi\) | ||||
0.323373 | + | 0.946272i | \(0.395183\pi\) | |||||||
\(674\) | −3.03105e20 | − | 1.50054e21i | −0.184775 | − | 0.914740i | ||||
\(675\) | 1.48485e21 | − | 5.90156e20i | 0.895165 | − | 0.355786i | ||||
\(676\) | −1.05284e21 | + | 4.43435e20i | −0.627714 | + | 0.264381i | ||||
\(677\) | − | 8.49037e20i | − | 0.500624i | −0.968165 | − | 0.250312i | \(-0.919467\pi\) | ||
0.968165 | − | 0.250312i | \(-0.0805332\pi\) | |||||||
\(678\) | −2.39197e21 | − | 2.10546e21i | −1.39487 | − | 1.22779i | ||||
\(679\) | 1.37136e20i | 0.0790913i | ||||||||
\(680\) | −1.21872e20 | − | 1.78927e20i | −0.0695165 | − | 0.102061i | ||||
\(681\) | −6.55452e20 | − | 8.62739e20i | −0.369775 | − | 0.486717i | ||||
\(682\) | 1.24772e21 | − | 2.52037e20i | 0.696202 | − | 0.140631i | ||||
\(683\) | 2.85892e20 | 0.157778 | 0.0788889 | − | 0.996883i | \(-0.474863\pi\) | ||||
0.0788889 | + | 0.996883i | \(0.474863\pi\) | |||||||
\(684\) | −2.49309e21 | + | 3.18938e20i | −1.36087 | + | 0.174095i | ||||
\(685\) | −6.06225e20 | −0.327306 | ||||||||
\(686\) | 1.11031e21 | − | 2.24281e20i | 0.592946 | − | 0.119774i | ||||
\(687\) | 1.56840e20 | + | 2.06441e20i | 0.0828478 | + | 0.109049i | ||||
\(688\) | 2.22199e21 | + | 2.16989e21i | 1.16099 | + | 1.13377i | ||||
\(689\) | 2.34574e20i | 0.121237i | ||||||||
\(690\) | −2.51883e20 | − | 2.21712e20i | −0.128775 | − | 0.113350i | ||||
\(691\) | 1.38315e21i | 0.699496i | 0.936844 | + | 0.349748i | \(0.113733\pi\) | ||||
−0.936844 | + | 0.349748i | \(0.886267\pi\) | |||||||
\(692\) | −8.43243e20 | − | 2.00209e21i | −0.421849 | − | 1.00159i | ||||
\(693\) | −5.27671e20 | − | 1.46829e20i | −0.261134 | − | 0.0726629i | ||||
\(694\) | −6.12160e20 | − | 3.03053e21i | −0.299688 | − | 1.48362i | ||||
\(695\) | −4.59899e19 | −0.0222729 | ||||||||
\(696\) | 1.69354e21 | + | 5.67145e20i | 0.811384 | + | 0.271722i | ||||
\(697\) | −7.70065e20 | −0.364990 | ||||||||
\(698\) | −4.09261e20 | − | 2.02607e21i | −0.191904 | − | 0.950033i | ||||
\(699\) | −1.44157e21 | + | 1.09521e21i | −0.668740 | + | 0.508064i | ||||
\(700\) | −2.59591e20 | − | 6.16342e20i | −0.119139 | − | 0.282870i | ||||
\(701\) | 5.12041e20i | 0.232498i | 0.993220 | + | 0.116249i | \(0.0370871\pi\) | ||||
−0.993220 | + | 0.116249i | \(0.962913\pi\) | |||||||
\(702\) | 1.57597e21 | + | 2.41796e21i | 0.707978 | + | 1.08623i | ||||
\(703\) | 2.25818e21i | 1.00368i | ||||||||
\(704\) | −7.08361e20 | + | 1.80009e21i | −0.311501 | + | 0.791588i | ||||
\(705\) | 6.46249e20 | − | 4.90977e20i | 0.281178 | − | 0.213620i | ||||
\(706\) | −7.54720e20 | + | 1.52452e20i | −0.324901 | + | 0.0656292i | ||||
\(707\) | 5.00328e20 | 0.213112 | ||||||||
\(708\) | 1.49750e21 | + | 8.62319e20i | 0.631129 | + | 0.363428i | ||||
\(709\) | −3.47919e21 | −1.45088 | −0.725440 | − | 0.688285i | \(-0.758364\pi\) | ||||
−0.725440 | + | 0.688285i | \(0.758364\pi\) | |||||||
\(710\) | −8.31895e20 | + | 1.68041e20i | −0.343266 | + | 0.0693389i | ||||
\(711\) | 1.69014e21 | + | 4.70296e20i | 0.690083 | + | 0.192021i | ||||
\(712\) | −2.37973e21 | + | 1.62090e21i | −0.961454 | + | 0.654872i | ||||
\(713\) | 1.86967e21i | 0.747471i | ||||||||
\(714\) | 3.42930e20 | − | 3.89595e20i | 0.135665 | − | 0.154126i | ||||
\(715\) | − | 5.39912e20i | − | 0.211362i | ||||||
\(716\) | −8.58503e20 | + | 3.61585e20i | −0.332579 | + | 0.140076i | ||||
\(717\) | −5.62436e20 | − | 7.40307e20i | −0.215615 | − | 0.283804i | ||||
\(718\) | 2.99129e20 | + | 1.48086e21i | 0.113482 | + | 0.561797i | ||||
\(719\) | −8.54186e20 | −0.320690 | −0.160345 | − | 0.987061i | \(-0.551261\pi\) | ||||
−0.160345 | + | 0.987061i | \(0.551261\pi\) | |||||||
\(720\) | −4.46087e20 | + | 2.58901e20i | −0.165739 | + | 0.0961921i | ||||
\(721\) | −1.07062e21 | −0.393659 | ||||||||
\(722\) | 4.80059e20 | + | 2.37656e21i | 0.174689 | + | 0.864808i | ||||
\(723\) | −5.95282e19 | − | 7.83541e19i | −0.0214381 | − | 0.0282179i | ||||
\(724\) | 1.63097e21 | − | 6.86932e20i | 0.581308 | − | 0.244835i | ||||
\(725\) | 2.33666e21i | 0.824251i | ||||||||
\(726\) | 5.23012e20 | − | 5.94183e20i | 0.182594 | − | 0.207442i | ||||
\(727\) | − | 3.69552e21i | − | 1.27693i | −0.769651 | − | 0.638465i | \(-0.779570\pi\) | ||
0.769651 | − | 0.638465i | \(-0.220430\pi\) | |||||||
\(728\) | 9.98434e20 | − | 6.80060e20i | 0.341456 | − | 0.232574i | ||||
\(729\) | 2.14827e21 | − | 2.02803e21i | 0.727162 | − | 0.686465i | ||||
\(730\) | 7.94073e20 | − | 1.60401e20i | 0.266035 | − | 0.0537384i | ||||
\(731\) | −3.15346e21 | −1.04570 | ||||||||
\(732\) | 1.03537e21 | + | 5.96207e20i | 0.339832 | + | 0.195688i | ||||
\(733\) | 3.61825e21 | 1.17549 | 0.587745 | − | 0.809046i | \(-0.300016\pi\) | ||||
0.587745 | + | 0.809046i | \(0.300016\pi\) | |||||||
\(734\) | 3.95459e21 | − | 7.98817e20i | 1.27169 | − | 0.256878i | ||||
\(735\) | 4.30707e20 | − | 3.27223e20i | 0.137097 | − | 0.104157i | ||||
\(736\) | −2.38562e21 | − | 1.54335e21i | −0.751655 | − | 0.486273i | ||||
\(737\) | 1.51633e21i | 0.472921i | ||||||||
\(738\) | −1.32121e20 | + | 1.82987e21i | −0.0407897 | + | 0.564934i | ||||
\(739\) | − | 3.74316e21i | − | 1.14395i | −0.820273 | − | 0.571973i | \(-0.806178\pi\) | ||
0.820273 | − | 0.571973i | \(-0.193822\pi\) | |||||||
\(740\) | 1.79872e20 | + | 4.27067e20i | 0.0544160 | + | 0.129199i | ||||
\(741\) | 4.72971e21 | − | 3.59332e21i | 1.41644 | − | 1.07612i | ||||
\(742\) | −1.98987e19 | − | 9.85094e19i | −0.00589922 | − | 0.0292044i | ||||
\(743\) | −6.23817e20 | −0.183080 | −0.0915401 | − | 0.995801i | \(-0.529179\pi\) | ||||
−0.0915401 | + | 0.995801i | \(0.529179\pi\) | |||||||
\(744\) | 2.72504e21 | + | 9.12579e20i | 0.791727 | + | 0.265139i | ||||
\(745\) | 2.02298e19 | 0.00581863 | ||||||||
\(746\) | −2.34063e20 | − | 1.15874e21i | −0.0666488 | − | 0.329949i | ||||
\(747\) | 3.08897e20 | − | 1.11011e21i | 0.0870781 | − | 0.312940i | ||||
\(748\) | −7.62407e20 | − | 1.81017e21i | −0.212777 | − | 0.505192i | ||||
\(749\) | 1.16285e21i | 0.321300i | ||||||||
\(750\) | −1.03237e21 | − | 9.08711e20i | −0.282406 | − | 0.248580i | ||||
\(751\) | − | 1.37628e21i | − | 0.372741i | −0.982479 | − | 0.186371i | \(-0.940327\pi\) | ||
0.982479 | − | 0.186371i | \(-0.0596725\pi\) | |||||||
\(752\) | 4.80134e21 | − | 4.91664e21i | 1.28745 | − | 1.31836i | ||||
\(753\) | −1.69767e21 | − | 2.23456e21i | −0.450704 | − | 0.593240i | ||||
\(754\) | −4.13722e21 | + | 8.35707e20i | −1.08748 | + | 0.219669i | ||||
\(755\) | −4.52591e20 | −0.117789 | ||||||||
\(756\) | −8.66941e20 | − | 8.81732e20i | −0.223396 | − | 0.227208i | ||||
\(757\) | −5.99725e20 | −0.153015 | −0.0765073 | − | 0.997069i | \(-0.524377\pi\) | ||||
−0.0765073 | + | 0.997069i | \(0.524377\pi\) | |||||||
\(758\) | −4.36862e21 | + | 8.82451e20i | −1.10363 | + | 0.222931i | ||||
\(759\) | −1.84175e21 | − | 2.42421e21i | −0.460700 | − | 0.606397i | ||||
\(760\) | 5.97554e20 | + | 8.77302e20i | 0.148004 | + | 0.217294i | ||||
\(761\) | − | 2.91406e21i | − | 0.714684i | −0.933974 | − | 0.357342i | \(-0.883683\pi\) | ||
0.933974 | − | 0.357342i | \(-0.116317\pi\) | |||||||
\(762\) | 4.87700e21 | + | 4.29284e21i | 1.18438 | + | 1.04251i | ||||
\(763\) | − | 1.83674e21i | − | 0.441687i | ||||||
\(764\) | 3.65548e21 | − | 1.53962e21i | 0.870450 | − | 0.366617i | ||||
\(765\) | 1.40390e20 | − | 5.04531e20i | 0.0331036 | − | 0.118967i | ||||
\(766\) | 9.56834e20 | + | 4.73686e21i | 0.223419 | + | 1.10605i | ||||
\(767\) | −4.08383e21 | −0.944284 | ||||||||
\(768\) | −3.41383e21 | + | 2.72373e21i | −0.781687 | + | 0.623671i | ||||
\(769\) | 1.79448e21 | 0.406904 | 0.203452 | − | 0.979085i | \(-0.434784\pi\) | ||||
0.203452 | + | 0.979085i | \(0.434784\pi\) | |||||||
\(770\) | 4.58001e19 | + | 2.26736e20i | 0.0102846 | + | 0.0509143i | ||||
\(771\) | −7.75601e20 | + | 5.89250e20i | −0.172477 | + | 0.131036i | ||||
\(772\) | 1.66654e21 | − | 7.01912e20i | 0.367016 | − | 0.154580i | ||||
\(773\) | 6.91323e21i | 1.50777i | 0.657007 | + | 0.753885i | \(0.271822\pi\) | ||||
−0.657007 | + | 0.753885i | \(0.728178\pi\) | |||||||
\(774\) | −5.41045e20 | + | 7.49343e21i | −0.116863 | + | 1.61854i | ||||
\(775\) | 3.75986e21i | 0.804282i | ||||||||
\(776\) | 6.59573e20 | + | 9.68356e20i | 0.139733 | + | 0.205150i | ||||
\(777\) | −8.84633e20 | + | 6.72085e20i | −0.185612 | + | 0.141015i | ||||
\(778\) | −2.46807e21 | + | 4.98544e20i | −0.512874 | + | 0.103599i | ||||
\(779\) | 3.77571e21 | 0.777084 | ||||||||
\(780\) | 6.08261e20 | − | 1.05631e21i | 0.123988 | − | 0.215318i | ||||
\(781\) | −7.70006e21 | −1.55457 | ||||||||
\(782\) | 2.82786e21 | − | 5.71221e20i | 0.565467 | − | 0.114223i | ||||
\(783\) | 1.59573e21 | + | 4.01488e21i | 0.316042 | + | 0.795170i | ||||
\(784\) | 3.19997e21 | − | 3.27681e21i | 0.627733 | − | 0.642807i | ||||
\(785\) | 7.80393e20i | 0.151632i | ||||||||
\(786\) | 3.14909e21 | − | 3.57761e21i | 0.606060 | − | 0.688532i | ||||
\(787\) | 5.42136e20i | 0.103347i | 0.998664 | + | 0.0516735i | \(0.0164555\pi\) | ||||
−0.998664 | + | 0.0516735i | \(0.983544\pi\) | |||||||
\(788\) | 2.98995e20 | + | 7.09898e20i | 0.0564570 | + | 0.134045i | ||||
\(789\) | 2.60172e21 | + | 3.42452e21i | 0.486613 | + | 0.640504i | ||||
\(790\) | −1.46699e20 | − | 7.26240e20i | −0.0271784 | − | 0.134548i | ||||
\(791\) | −3.22646e21 | −0.592110 | ||||||||
\(792\) | −4.43222e21 | + | 1.50110e21i | −0.805718 | + | 0.272879i | ||||
\(793\) | −2.82356e21 | −0.508450 | ||||||||
\(794\) | −1.28883e21 | − | 6.38041e21i | −0.229901 | − | 1.13814i | ||||
\(795\) | −6.13445e19 | − | 8.07447e19i | −0.0108398 | − | 0.0142679i | ||||
\(796\) | 4.36559e20 | + | 1.03651e21i | 0.0764178 | + | 0.181437i | ||||
\(797\) | − | 6.33610e21i | − | 1.09871i | −0.835588 | − | 0.549357i | \(-0.814873\pi\) | ||
0.835588 | − | 0.549357i | \(-0.185127\pi\) | |||||||
\(798\) | −1.68142e21 | + | 1.91023e21i | −0.288839 | + | 0.328144i | ||||
\(799\) | 6.97772e21i | 1.18744i | ||||||||
\(800\) | −4.79742e21 | − | 3.10362e21i | −0.808784 | − | 0.523232i | ||||
\(801\) | −6.71025e21 | − | 1.86718e21i | −1.12071 | − | 0.311848i | ||||
\(802\) | −5.38941e21 | + | 1.08865e21i | −0.891731 | + | 0.180127i | ||||
\(803\) | 7.34997e21 | 1.20481 | ||||||||
\(804\) | −1.70829e21 | + | 2.96661e21i | −0.277422 | + | 0.481771i | ||||
\(805\) | −3.39757e20 | −0.0546637 | ||||||||
\(806\) | −6.65710e21 | + | 1.34472e21i | −1.06114 | + | 0.214347i | ||||
\(807\) | −2.43210e21 | + | 1.84775e21i | −0.384088 | + | 0.291804i | ||||
\(808\) | 3.53295e21 | − | 2.40639e21i | 0.552780 | − | 0.376513i | ||||
\(809\) | − | 2.84009e21i | − | 0.440270i | −0.975469 | − | 0.220135i | \(-0.929350\pi\) | ||
0.975469 | − | 0.220135i | \(-0.0706498\pi\) | |||||||
\(810\) | −1.17481e21 | − | 4.20166e20i | −0.180438 | − | 0.0645331i | ||||
\(811\) | − | 6.32708e21i | − | 0.962823i | −0.876495 | − | 0.481412i | \(-0.840124\pi\) | ||
0.876495 | − | 0.481412i | \(-0.159876\pi\) | |||||||
\(812\) | 1.66653e21 | − | 7.01910e20i | 0.251271 | − | 0.105831i | ||||
\(813\) | 2.19589e21 | − | 1.66829e21i | 0.328043 | − | 0.249225i | ||||
\(814\) | 8.32453e20 | + | 4.12111e21i | 0.123219 | + | 0.610001i | ||||
\(815\) | −3.72464e19 | −0.00546264 | ||||||||
\(816\) | 5.47715e20 | − | 4.40040e21i | 0.0795937 | − | 0.639464i | ||||
\(817\) | 1.54618e22 | 2.22635 | ||||||||
\(818\) | −1.25663e21 | − | 6.22102e21i | −0.179291 | − | 0.887588i | ||||
\(819\) | 2.81533e21 | + | 7.83391e20i | 0.398016 | + | 0.110751i | ||||
\(820\) | 7.14062e20 | − | 3.00749e20i | 0.100030 | − | 0.0421309i | ||||
\(821\) | 6.53038e21i | 0.906494i | 0.891385 | + | 0.453247i | \(0.149734\pi\) | ||||
−0.891385 | + | 0.453247i | \(0.850266\pi\) | |||||||
\(822\) | −9.32081e21 | − | 8.20437e21i | −1.28208 | − | 1.12851i | ||||
\(823\) | 8.93559e21i | 1.21794i | 0.793195 | + | 0.608968i | \(0.208416\pi\) | ||||
−0.793195 | + | 0.608968i | \(0.791584\pi\) | |||||||
\(824\) | −7.55994e21 | + | 5.14928e21i | −1.02109 | + | 0.695492i | ||||
\(825\) | −3.70371e21 | − | 4.87501e21i | −0.495716 | − | 0.652486i | ||||
\(826\) | 1.71500e21 | − | 3.46427e20i | 0.227465 | − | 0.0459474i | ||||
\(827\) | 4.32274e21 | 0.568156 | 0.284078 | − | 0.958801i | \(-0.408312\pi\) | ||||
0.284078 | + | 0.958801i | \(0.408312\pi\) | |||||||
\(828\) | −8.72186e20 | − | 6.81773e21i | −0.113601 | − | 0.887998i | ||||
\(829\) | 1.52220e21 | 0.196478 | 0.0982389 | − | 0.995163i | \(-0.468679\pi\) | ||||
0.0982389 | + | 0.995163i | \(0.468679\pi\) | |||||||
\(830\) | −4.77004e20 | + | 9.63537e19i | −0.0610150 | + | 0.0123249i | ||||
\(831\) | −7.58482e20 | − | 9.98352e20i | −0.0961474 | − | 0.126554i | ||||
\(832\) | 3.77939e21 | − | 9.60419e21i | 0.474784 | − | 1.20652i | ||||
\(833\) | 4.65046e21i | 0.578973i | ||||||||
\(834\) | −7.07103e20 | − | 6.22406e20i | −0.0872443 | − | 0.0767943i | ||||
\(835\) | 2.42559e21i | 0.296598i | ||||||||
\(836\) | 3.73817e21 | + | 8.87545e21i | 0.453014 | + | 1.07558i | ||||
\(837\) | 2.56765e21 | + | 6.46025e21i | 0.308386 | + | 0.775905i | ||||
\(838\) | −2.25569e21 | − | 1.11669e22i | −0.268503 | − | 1.32924i | ||||
\(839\) | 5.83443e21 | 0.688309 | 0.344155 | − | 0.938913i | \(-0.388166\pi\) | ||||
0.344155 | + | 0.938913i | \(0.388166\pi\) | |||||||
\(840\) | −1.65834e20 | + | 4.95194e20i | −0.0193900 | + | 0.0579002i | ||||
\(841\) | 2.31109e21 | 0.267822 | ||||||||
\(842\) | 2.42249e21 | + | 1.19927e22i | 0.278241 | + | 1.37745i | ||||
\(843\) | 1.28573e22 | − | 9.76815e21i | 1.46367 | − | 1.11200i | ||||
\(844\) | 4.75675e21 | + | 1.12938e22i | 0.536713 | + | 1.27431i | ||||
\(845\) | 1.16712e21i | 0.130523i | ||||||||
\(846\) | 1.65808e22 | + | 1.19718e21i | 1.83793 | + | 0.132703i | ||||
\(847\) | − | 8.01476e20i | − | 0.0880572i | ||||||
\(848\) | −6.14303e20 | − | 5.99897e20i | −0.0668981 | − | 0.0653293i | ||||
\(849\) | −9.80182e21 | + | 7.44677e21i | −1.05803 | + | 0.803823i | ||||
\(850\) | 5.68675e21 | − | 1.14871e21i | 0.608446 | − | 0.122905i | ||||
\(851\) | −6.17535e21 | −0.654922 | ||||||||
\(852\) | −1.50647e22 | − | 8.67482e21i | −1.58367 | − | 0.911935i | ||||
\(853\) | −2.92759e21 | −0.305065 | −0.152532 | − | 0.988298i | \(-0.548743\pi\) | ||||
−0.152532 | + | 0.988298i | \(0.548743\pi\) | |||||||
\(854\) | 1.18575e21 | − | 2.39519e20i | 0.122479 | − | 0.0247404i | ||||
\(855\) | −6.88348e20 | + | 2.47377e21i | −0.0704794 | + | 0.253287i | ||||
\(856\) | 5.59288e21 | + | 8.21122e21i | 0.567653 | + | 0.833402i | ||||
\(857\) | − | 1.46480e22i | − | 1.47374i | −0.676033 | − | 0.736872i | \(-0.736302\pi\) | ||
0.676033 | − | 0.736872i | \(-0.263698\pi\) | |||||||
\(858\) | 7.30692e21 | − | 8.30124e21i | 0.728752 | − | 0.827920i | ||||
\(859\) | − | 4.53748e20i | − | 0.0448607i | −0.999748 | − | 0.0224303i | \(-0.992860\pi\) | ||
0.999748 | − | 0.0224303i | \(-0.00714040\pi\) | |||||||
\(860\) | 2.92413e21 | − | 1.23159e21i | 0.286588 | − | 0.120705i | ||||
\(861\) | 1.12374e21 | + | 1.47912e21i | 0.109179 | + | 0.143708i | ||||
\(862\) | −1.41478e20 | − | 7.00395e20i | −0.0136265 | − | 0.0674588i | ||||
\(863\) | 4.59858e21 | 0.439080 | 0.219540 | − | 0.975604i | \(-0.429544\pi\) | ||||
0.219540 | + | 0.975604i | \(0.429544\pi\) | |||||||
\(864\) | −1.03625e22 | − | 2.05650e21i | −0.980871 | − | 0.194659i | ||||
\(865\) | −2.21940e21 | −0.208265 | ||||||||
\(866\) | 2.58451e21 | + | 1.27948e22i | 0.240433 | + | 1.19028i | ||||
\(867\) | −3.83559e21 | − | 5.04860e21i | −0.353744 | − | 0.465616i | ||||
\(868\) | 2.68158e21 | − | 1.12943e21i | 0.245184 | − | 0.103267i | ||||
\(869\) | − | 6.72212e21i | − | 0.609337i | ||||||
\(870\) | 1.20555e21 | − | 1.36961e21i | 0.108341 | − | 0.123084i | ||||
\(871\) | − | 8.09023e21i | − | 0.720817i | ||||||
\(872\) | −8.83405e21 | − | 1.29698e22i | −0.780344 | − | 1.14567i | ||||
\(873\) | −7.59791e20 | + | 2.73052e21i | −0.0665407 | + | 0.239133i | ||||
\(874\) | −1.38653e22 | + | 2.80076e21i | −1.20391 | + | 0.243187i | ||||
\(875\) | −1.39253e21 | −0.119879 | ||||||||
\(876\) | 1.43798e22 | + | 8.28042e21i | 1.22736 | + | 0.706760i | ||||
\(877\) | −6.37888e21 | −0.539818 | −0.269909 | − | 0.962886i | \(-0.586994\pi\) | ||||
−0.269909 | + | 0.962886i | \(0.586994\pi\) | |||||||
\(878\) | 5.11044e21 | − | 1.03230e21i | 0.428795 | − | 0.0866155i | ||||
\(879\) | −1.45440e22 | + | 1.10496e22i | −1.20995 | + | 0.919241i | ||||
\(880\) | 1.41392e21 | + | 1.38076e21i | 0.116629 | + | 0.113894i | ||||
\(881\) | 1.56165e22i | 1.27721i | 0.769533 | + | 0.638607i | \(0.220489\pi\) | ||||
−0.769533 | + | 0.638607i | \(0.779511\pi\) | |||||||
\(882\) | 1.10507e22 | + | 7.97888e20i | 0.896138 | + | 0.0647035i | ||||
\(883\) | − | 7.64591e21i | − | 0.614786i | −0.951583 | − | 0.307393i | \(-0.900543\pi\) | ||
0.951583 | − | 0.307393i | \(-0.0994566\pi\) | |||||||
\(884\) | 4.06774e21 | + | 9.65795e21i | 0.324311 | + | 0.770004i | ||||
\(885\) | 1.40573e21 | − | 1.06798e21i | 0.111129 | − | 0.0844284i | ||||
\(886\) | −5.59185e20 | − | 2.76828e21i | −0.0438332 | − | 0.216998i | ||||
\(887\) | −2.05677e22 | −1.59867 | −0.799334 | − | 0.600887i | \(-0.794814\pi\) | ||||
−0.799334 | + | 0.600887i | \(0.794814\pi\) | |||||||
\(888\) | −3.01416e21 | + | 9.00053e21i | −0.232311 | + | 0.693699i | ||||
\(889\) | 6.57844e21 | 0.502759 | ||||||||
\(890\) | 5.82428e20 | + | 2.88334e21i | 0.0441384 | + | 0.218510i | ||||
\(891\) | −9.69298e21 | − | 5.84703e21i | −0.728408 | − | 0.439393i | ||||
\(892\) | 2.74887e21 | + | 6.52658e21i | 0.204841 | + | 0.486350i | ||||
\(893\) | − | 3.42125e22i | − | 2.52813i | ||||||
\(894\) | 3.11037e20 | + | 2.73781e20i | 0.0227919 | + | 0.0200619i | ||||
\(895\) | 9.51687e20i | 0.0691546i | ||||||||
\(896\) | −7.72441e20 | + | 4.35388e21i | −0.0556615 | + | 0.313737i | ||||
\(897\) | 9.82649e21 | + | 1.29341e22i | 0.702190 | + | 0.924259i | ||||
\(898\) | −5.35596e21 | + | 1.08189e21i | −0.379547 | + | 0.0766675i | ||||
\(899\) | −1.01663e22 | −0.714439 | ||||||||
\(900\) | −1.75394e21 | − | 1.37102e22i | −0.122235 | − | 0.955491i | ||||
\(901\) | 8.71822e20 | 0.0602548 | ||||||||
\(902\) | 6.89055e21 | − | 1.39187e21i | 0.472286 | − | 0.0954006i | ||||
\(903\) | 4.60177e21 | + | 6.05709e21i | 0.312800 | + | 0.411723i | ||||
\(904\) | −2.27829e22 | + | 1.55181e22i | −1.53584 | + | 1.04610i | ||||
\(905\) | − | 1.80800e21i | − | 0.120874i | ||||||
\(906\) | −6.95867e21 | − | 6.12516e21i | −0.461386 | − | 0.406122i | ||||
\(907\) | − | 3.40756e21i | − | 0.224073i | −0.993704 | − | 0.112036i | \(-0.964263\pi\) | ||
0.993704 | − | 0.112036i | \(-0.0357373\pi\) | |||||||
\(908\) | −8.63778e21 | + | 3.63807e21i | −0.563324 | + | 0.237261i | ||||
\(909\) | 9.96204e21 | + | 2.77202e21i | 0.644346 | + | 0.179295i | ||||
\(910\) | −2.44362e20 | − | 1.20973e21i | −0.0156756 | − | 0.0776027i | ||||
\(911\) | −7.32434e21 | −0.465994 | −0.232997 | − | 0.972477i | \(-0.574853\pi\) | ||||
−0.232997 | + | 0.972477i | \(0.574853\pi\) | |||||||
\(912\) | −2.68551e21 | + | 2.15757e22i | −0.169459 | + | 1.36145i | ||||
\(913\) | −4.41518e21 | −0.276323 | ||||||||
\(914\) | −9.02202e20 | − | 4.46640e21i | −0.0560025 | − | 0.277243i | ||||
\(915\) | 9.71920e20 | − | 7.38400e20i | 0.0598373 | − | 0.0454604i | ||||
\(916\) | 2.06689e21 | − | 8.70535e20i | 0.126212 | − | 0.0531582i | ||||
\(917\) | − | 4.82573e21i | − | 0.292276i | ||||||
\(918\) | 8.98661e21 | − | 5.85727e21i | 0.539853 | − | 0.351864i | ||||
\(919\) | 1.70653e22i | 1.01683i | 0.861113 | + | 0.508413i | \(0.169768\pi\) | ||||
−0.861113 | + | 0.508413i | \(0.830232\pi\) | |||||||
\(920\) | −2.39912e21 | + | 1.63410e21i | −0.141789 | + | 0.0965763i | ||||
\(921\) | −8.59432e21 | + | 6.52939e21i | −0.503807 | + | 0.382759i | ||||
\(922\) | −1.16663e22 | + | 2.35655e21i | −0.678343 | + | 0.137024i | ||||
\(923\) | 4.10829e22 | 2.36945 | ||||||||
\(924\) | −2.36436e21 | + | 4.10594e21i | −0.135261 | + | 0.234895i | ||||
\(925\) | −1.24184e22 | −0.704699 | ||||||||
\(926\) | 1.83948e22 | − | 3.71571e21i | 1.03541 | − | 0.209151i | ||||
\(927\) | −2.13171e22 | − | 5.93167e21i | −1.19023 | − | 0.331192i | ||||
\(928\) | 8.39191e21 | − | 1.29718e22i | 0.464784 | − | 0.718438i | ||||
\(929\) | − | 2.27568e22i | − | 1.25024i | −0.780528 | − | 0.625121i | \(-0.785050\pi\) | ||
0.780528 | − | 0.625121i | \(-0.214950\pi\) | |||||||
\(930\) | 1.93983e21 | − | 2.20380e21i | 0.105716 | − | 0.120102i | ||||
\(931\) | − | 2.28017e22i | − | 1.23267i | ||||||
\(932\) | 6.07892e21 | + | 1.44331e22i | 0.325992 | + | 0.773997i | ||||
\(933\) | 1.03323e22 | + | 1.35999e22i | 0.549650 | + | 0.723477i | ||||
\(934\) | −8.34582e20 | − | 4.13164e21i | −0.0440420 | − | 0.218032i | ||||
\(935\) | −2.00664e21 | −0.105047 | ||||||||
\(936\) | 2.36477e22 | − | 8.00896e21i | 1.22806 | − | 0.415918i | ||||
\(937\) | 1.82560e22 | 0.940502 | 0.470251 | − | 0.882533i | \(-0.344163\pi\) | ||||
0.470251 | + | 0.882533i | \(0.344163\pi\) | |||||||
\(938\) | 6.86285e20 | + | 3.39749e21i | 0.0350738 | + | 0.173635i | ||||
\(939\) | 8.66302e21 | + | 1.14027e22i | 0.439215 | + | 0.578117i | ||||
\(940\) | −2.72515e21 | − | 6.47027e21i | −0.137067 | − | 0.325434i | ||||
\(941\) | 1.47066e22i | 0.733823i | 0.930256 | + | 0.366911i | \(0.119585\pi\) | ||||
−0.930256 | + | 0.366911i | \(0.880415\pi\) | |||||||
\(942\) | −1.05615e22 | + | 1.19987e22i | −0.522809 | + | 0.593952i | ||||
\(943\) | 1.03253e22i | 0.507065i | ||||||||
\(944\) | 1.04439e22 | − | 1.06947e22i | 0.508832 | − | 0.521051i | ||||
\(945\) | −1.17396e21 | + | 4.66592e20i | −0.0567432 | + | 0.0225527i | ||||
\(946\) | 2.82172e22 | − | 5.69981e21i | 1.35310 | − | 0.273324i | ||||
\(947\) | 1.79636e22 | 0.854612 | 0.427306 | − | 0.904107i | \(-0.359463\pi\) | ||||
0.427306 | + | 0.904107i | \(0.359463\pi\) | |||||||
\(948\) | 7.57308e21 | − | 1.31514e22i | 0.357446 | − | 0.620741i | ||||
\(949\) | −3.92150e22 | −1.83635 | ||||||||
\(950\) | −2.78828e22 | + | 5.63225e21i | −1.29541 | + | 0.261671i | ||||
\(951\) | 3.30285e22 | − | 2.50929e22i | 1.52242 | − | 1.15663i | ||||
\(952\) | −2.52752e21 | − | 3.71079e21i | −0.115589 | − | 0.169703i | ||||
\(953\) | 4.21626e22i | 1.91307i | 0.291616 | + | 0.956535i | \(0.405807\pi\) | ||||
−0.291616 | + | 0.956535i | \(0.594193\pi\) | |||||||
\(954\) | 1.49580e20 | − | 2.07167e21i | 0.00673381 | − | 0.0932627i | ||||
\(955\) | − | 4.05225e21i | − | 0.180997i | ||||||
\(956\) | −7.41198e21 | + | 3.12178e21i | −0.328473 | + | 0.138347i | ||||
\(957\) | 1.31816e22 | − | 1.00145e22i | 0.579599 | − | 0.440341i | ||||
\(958\) | −4.44935e21 | − | 2.20267e22i | −0.194113 | − | 0.960968i | ||||
\(959\) | −1.25726e22 | −0.544232 | ||||||||
\(960\) | 1.21070e21 | + | 4.29430e21i | 0.0519997 | + | 0.184441i | ||||
\(961\) | 7.10691e21 | 0.302869 | ||||||||
\(962\) | −4.44147e21 | − | 2.19877e22i | −0.187808 | − | 0.929752i | ||||
\(963\) | −6.44269e21 | + | 2.31536e22i | −0.270315 | + | 0.971452i | ||||
\(964\) | −7.84484e20 | + | 3.30409e20i | −0.0326593 | + | 0.0137554i | ||||
\(965\) | − | 1.84742e21i | − | 0.0763153i | ||||||
\(966\) | −5.22382e21 | − | 4.59811e21i | −0.214121 | − | 0.188474i | ||||
\(967\) | − | 2.40261e22i | − | 0.977202i | −0.872507 | − | 0.488601i | \(-0.837507\pi\) | ||
0.872507 | − | 0.488601i | \(-0.162493\pi\) | |||||||
\(968\) | −3.85480e21 | − | 5.65944e21i | −0.155574 | − | 0.228406i | ||||
\(969\) | −1.33550e22 | − | 1.75785e22i | −0.534829 | − | 0.703969i | ||||
\(970\) | 1.17328e21 | − | 2.37000e20i | 0.0466246 | − | 0.00941805i | ||||
\(971\) | −3.05559e22 | −1.20490 | −0.602450 | − | 0.798156i | \(-0.705809\pi\) | ||||
−0.602450 | + | 0.798156i | \(0.705809\pi\) | |||||||
\(972\) | −1.23765e22 | − | 2.23594e22i | −0.484286 | − | 0.874910i | ||||
\(973\) | −9.53789e20 | −0.0370345 | ||||||||
\(974\) | −2.00982e22 | + | 4.05978e21i | −0.774399 | + | 0.156427i | ||||
\(975\) | 1.97608e22 | + | 2.60101e22i | 0.755560 | + | 0.994507i | ||||
\(976\) | 7.22093e21 | − | 7.39434e21i | 0.273981 | − | 0.280560i | ||||
\(977\) | − | 1.20078e22i | − | 0.452121i | −0.974113 | − | 0.226061i | \(-0.927415\pi\) | ||
0.974113 | − | 0.226061i | \(-0.0725847\pi\) | |||||||
\(978\) | −5.72670e20 | − | 5.04076e20i | −0.0213975 | − | 0.0188345i | ||||
\(979\) | 2.66883e22i | 0.989581i | ||||||||
\(980\) | −1.81624e21 | − | 4.31226e21i | −0.0668310 | − | 0.158675i | ||||
\(981\) | 1.01763e22 | − | 3.65715e22i | 0.371598 | − | 1.33544i | ||||
\(982\) | 7.42132e21 | + | 3.67396e22i | 0.268934 | + | 1.33137i | ||||
\(983\) | 5.06817e22 | 1.82264 | 0.911318 | − | 0.411703i | \(-0.135066\pi\) | ||||
0.911318 | + | 0.411703i | \(0.135066\pi\) | |||||||
\(984\) | 1.50490e22 | + | 5.03972e21i | 0.537088 | + | 0.179864i | ||||
\(985\) | 7.86952e20 | 0.0278725 | ||||||||
\(986\) | 3.10600e21 | + | 1.53764e22i | 0.109175 | + | 0.540479i | ||||
\(987\) | 1.34026e22 | − | 1.01824e22i | 0.467531 | − | 0.355199i | ||||
\(988\) | −1.99446e22 | − | 4.73540e22i | −0.690475 | − | 1.63938i | ||||
\(989\) | 4.22826e22i | 1.45275i | ||||||||
\(990\) | −3.44284e20 | + | 4.76830e21i | −0.0117396 | + | 0.162592i | ||||
\(991\) | 3.51421e22i | 1.18926i | 0.804001 | + | 0.594629i | \(0.202701\pi\) | ||||
−0.804001 | + | 0.594629i | \(0.797299\pi\) | |||||||
\(992\) | 1.35032e22 | − | 2.08726e22i | 0.453524 | − | 0.701033i | ||||
\(993\) | −1.01789e22 | + | 7.73325e21i | −0.339298 | + | 0.257776i | ||||
\(994\) | −1.72527e22 | + | 3.48501e21i | −0.570769 | + | 0.115294i | ||||
\(995\) | 1.14902e21 | 0.0377271 | ||||||||
\(996\) | −8.63803e21 | − | 4.97410e21i | −0.281494 | − | 0.162095i | ||||
\(997\) | 1.88033e22 | 0.608165 | 0.304082 | − | 0.952646i | \(-0.401650\pi\) | ||||
0.304082 | + | 0.952646i | \(0.401650\pi\) | |||||||
\(998\) | −2.57869e22 | + | 5.20889e21i | −0.827790 | + | 0.167212i | ||||
\(999\) | −2.13376e22 | + | 8.48068e21i | −0.679836 | + | 0.270203i |
(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 | 12.16.b.a.11.13 | ✓ | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.16 | yes | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.15 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.14 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.13 | ✓ | 28 | 1.1 | even | 1 | trivial | |
12.16.b.a.11.14 | yes | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.15 | yes | 28 | 4.3 | odd | 2 | inner | |
12.16.b.a.11.16 | yes | 28 | 3.2 | odd | 2 | inner |