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 | 11.16 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.15 |
$q$-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 | \(-0.969454\pi\) | ||
0.995399 | − | 0.0958156i | \(-0.0305459\pi\) | |||||||
\(6\) | 617322. | + | 298494.i | 0.900279 | + | 0.435313i | ||||
\(7\) | 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 | \(-0.639844\pi\) | ||||
−0.425336 | + | 0.905035i | \(0.639844\pi\) | |||||||
\(12\) | −3.08377e7 | + | 1.20233e8i | −0.248441 | + | 0.968647i | ||||
\(13\) | −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 | \(-0.895578\pi\) | ||
0.946672 | − | 0.322199i | \(-0.104422\pi\) | |||||||
\(18\) | 2.31495e9 | − | 1.17798e9i | 0.891247 | − | 0.453518i | ||||
\(19\) | − | 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 | \(-0.647727\pi\) | ||||
−0.447618 | + | 0.894225i | \(0.647727\pi\) | |||||||
\(24\) | −2.24389e10 | − | 1.16236e9i | −0.998661 | − | 0.0517318i | ||||
\(25\) | 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 | \(-0.859276\pi\) | ||
0.903856 | − | 0.427837i | \(-0.140724\pi\) | |||||||
\(30\) | 9.99257e9 | − | 2.06658e10i | 0.0834196 | − | 0.172522i | ||||
\(31\) | 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 | ||||||||
\(36\) | 2.91987e11 | + | 3.68534e11i | 0.621005 | + | 0.783807i | ||||
\(37\) | −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 | \(-0.908603\pi\) | ||
0.959060 | − | 0.283202i | \(-0.0913968\pi\) | |||||||
\(42\) | −2.07237e11 | + | 4.28591e11i | −0.138707 | + | 0.286862i | ||||
\(43\) | 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 | \(-0.872918\pi\) | ||||
−0.921357 | + | 0.388718i | \(0.872918\pi\) | |||||||
\(48\) | −5.98002e11 | − | 4.02313e12i | −0.147026 | − | 0.989133i | ||||
\(49\) | 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 | \(0.0148873\pi\) | ||||
−0.998906 | + | 0.0467527i | \(0.985113\pi\) | |||||||
\(54\) | 1.75173e12 | − | 9.68186e12i | 0.178039 | − | 0.984023i | ||||
\(55\) | 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 | \(-0.618639\pi\) | ||||
−0.364144 | + | 0.931343i | \(0.618639\pi\) | |||||||
\(60\) | 4.02500e12 | + | 1.03234e12i | 0.185623 | + | 0.0476090i | ||||
\(61\) | 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 | ||||||||
\(66\) | −3.39406e13 | − | 1.64113e13i | −0.765843 | − | 0.370309i | ||||
\(67\) | 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 | \(-0.133187\pi\) | ||||
0.913732 | + | 0.406318i | \(0.133187\pi\) | |||||||
\(72\) | −5.49258e13 | + | 6.50178e13i | −0.645331 | + | 0.763903i | ||||
\(73\) | 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 | ||||||
\(78\) | −1.81086e14 | − | 8.75609e13i | −1.16728 | − | 0.564418i | ||||
\(79\) | − | 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 | \(-0.448072\pi\) | ||||
0.162414 | + | 0.986723i | \(0.448072\pi\) | |||||||
\(84\) | −8.34749e13 | − | 2.14099e13i | −0.308646 | − | 0.0791624i | ||||
\(85\) | −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 | \(-0.802409\pi\) | ||
0.813442 | − | 0.581646i | \(-0.197591\pi\) | |||||||
\(90\) | −3.94348e13 | − | 7.74967e13i | −0.0869082 | − | 0.170791i | ||||
\(91\) | − | 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 | ||||||||
\(96\) | 6.92413e14 | − | 2.50302e14i | 0.940439 | − | 0.339962i | ||||
\(97\) | 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 | \(0.108538\pi\) | ||||
−0.942427 | + | 0.334413i | \(0.891462\pi\) | |||||||
\(102\) | 3.25430e14 | − | 6.73028e14i | 0.280515 | − | 0.580139i | ||||
\(103\) | 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 | \(-0.668205\pi\) | ||||
−0.504180 | + | 0.863599i | \(0.668205\pi\) | |||||||
\(108\) | 1.78069e15 | − | 3.61933e13i | 0.999794 | − | 0.0203212i | ||||
\(109\) | −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 | \(-0.620557\pi\) | ||
0.369751 | − | 0.929131i | \(-0.379443\pi\) | |||||||
\(114\) | 1.59562e15 | − | 3.29993e15i | 0.597232 | − | 1.23515i | ||||
\(115\) | 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 | ||||||||
\(120\) | −3.89120e13 | + | 7.51179e14i | −0.00991343 | + | 0.191375i | ||||
\(121\) | −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 | ||||||
\(126\) | 8.17842e14 | + | 1.60721e15i | 0.144507 | + | 0.283984i | ||||
\(127\) | − | 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 | \(-0.348339\pi\) | ||||
0.458635 | + | 0.888625i | \(0.348339\pi\) | |||||||
\(132\) | 1.69547e15 | − | 6.61047e15i | 0.211342 | − | 0.824001i | ||||
\(133\) | 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 | \(-0.674169\pi\) | ||
0.520272 | − | 0.854001i | \(-0.325831\pi\) | |||||||
\(138\) | −9.02417e15 | − | 4.36347e15i | −0.805962 | − | 0.389708i | ||||
\(139\) | 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 | ||||||||
\(144\) | −1.35051e16 | − | 7.41545e15i | −0.876554 | − | 0.481303i | ||||
\(145\) | −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 | \(0.00483271\pi\) | ||||
−0.999885 | + | 0.0151818i | \(0.995167\pi\) | |||||||
\(150\) | 1.81473e16 | + | 8.77481e15i | 0.867219 | + | 0.419327i | ||||
\(151\) | 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 | ||||||||
\(156\) | 9.04601e15 | − | 3.52695e16i | 0.322124 | − | 1.25593i | ||||
\(157\) | 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 | ||||||
\(162\) | −2.51887e16 | − | 2.74700e16i | −0.675838 | − | 0.737050i | ||||
\(163\) | 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 | \(-0.781686\pi\) | ||||
−0.773878 | + | 0.633334i | \(0.781686\pi\) | |||||||
\(168\) | 8.06999e14 | − | 1.55788e16i | 0.0164837 | − | 0.318210i | ||||
\(169\) | 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 | \(-0.817137\pi\) | ||
0.839474 | − | 0.543400i | \(-0.182863\pi\) | |||||||
\(174\) | 2.37263e16 | − | 4.90687e16i | 0.372486 | − | 0.770345i | ||||
\(175\) | 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 | \(-0.557751\pi\) | ||||
−0.180437 | + | 0.983587i | \(0.557751\pi\) | |||||||
\(180\) | 1.23373e16 | − | 9.77474e15i | 0.150202 | − | 0.119004i | ||||
\(181\) | −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 | ||||||||
\(186\) | −3.81774e16 | + | 7.89553e16i | −0.363462 | + | 0.751682i | ||||
\(187\) | 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 | \(-0.343441\pi\) | ||||
0.472253 | + | 0.881463i | \(0.343441\pi\) | |||||||
\(192\) | 6.92296e16 | + | 1.13887e17i | 0.519437 | + | 0.854509i | ||||
\(193\) | −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 | \(0.0231694\pi\) | ||||
−0.997352 | + | 0.0727244i | \(0.976831\pi\) | |||||||
\(198\) | −1.27277e17 | + | 6.47658e16i | −0.758160 | + | 0.385795i | ||||
\(199\) | − | 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 | ||||||||
\(204\) | 1.31083e17 | + | 3.36205e16i | 0.624195 | + | 0.160095i | ||||
\(205\) | −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 | ||||||||
\(210\) | 1.43477e16 | + | 6.93759e15i | 0.0549717 | + | 0.0265805i | ||||
\(211\) | − | 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 | ||||||||
\(216\) | 7.02447e16 | + | 3.14661e17i | 0.217876 | + | 0.975976i | ||||
\(217\) | −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 | ||||||||
\(222\) | −2.60782e17 | − | 1.26096e17i | −0.658612 | − | 0.318460i | ||||
\(223\) | − | 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 | \(-0.598865\pi\) | ||||
−0.305625 | + | 0.952152i | \(0.598865\pi\) | |||||||
\(228\) | 6.42715e17 | + | 1.64845e17i | 1.32895 | + | 0.340851i | ||||
\(229\) | −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 | \(0.137943\pi\) | ||||
−0.907560 | + | 0.419923i | \(0.862057\pi\) | |||||||
\(234\) | −6.79073e17 | + | 3.45551e17i | −1.15557 | + | 0.588022i | ||||
\(235\) | 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 | \(-0.557030\pi\) | ||||
−0.178210 | + | 0.983993i | \(0.557030\pi\) | |||||||
\(240\) | −1.34681e17 | + | 2.00191e16i | −0.189549 | + | 0.0281747i | ||||
\(241\) | 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 | ||||||
\(246\) | 2.10835e17 | − | 4.36031e17i | 0.246563 | − | 0.509922i | ||||
\(247\) | 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 | \(-0.621504\pi\) | ||||
−0.372514 | + | 0.928026i | \(0.621504\pi\) | |||||||
\(252\) | −2.55864e17 | + | 2.02719e17i | −0.249750 | + | 0.197875i | ||||
\(253\) | 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 | \(0.0345419\pi\) | ||||
−0.994118 | + | 0.108304i | \(0.965458\pi\) | |||||||
\(258\) | −8.63380e17 | + | 1.78557e18i | −0.706406 | + | 1.46093i | ||||
\(259\) | − | 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 | \(-0.368248\pi\) | ||||
0.402193 | + | 0.915555i | \(0.368248\pi\) | |||||||
\(264\) | 1.23370e18 | + | 6.39072e16i | 0.849534 | + | 0.0440068i | ||||
\(265\) | 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 | \(0.0775348\pi\) | ||||
−0.970480 | + | 0.241181i | \(0.922465\pi\) | |||||||
\(270\) | −3.24116e17 | − | 5.86420e16i | −0.188570 | − | 0.0341178i | ||||
\(271\) | 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 | ||||||||
\(276\) | 4.50794e17 | − | 1.75760e18i | 0.222413 | − | 0.867167i | ||||
\(277\) | 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 | \(-0.628927\pi\) | ||
0.394053 | − | 0.919088i | \(-0.371073\pi\) | |||||||
\(282\) | −3.95097e18 | − | 1.91042e18i | −1.65896 | − | 0.802157i | ||||
\(283\) | − | 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 | ||||||||
\(288\) | 8.31721e17 | − | 2.66206e18i | 0.298218 | − | 0.954498i | ||||
\(289\) | 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 | \(0.274687\pi\) | ||||
−0.650195 | + | 0.759767i | \(0.725313\pi\) | |||||||
\(294\) | 2.63321e18 | + | 1.27324e18i | 0.808874 | + | 0.391116i | ||||
\(295\) | 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 | ||||||||
\(300\) | −9.06534e17 | + | 3.53449e18i | −0.239318 | + | 0.933076i | ||||
\(301\) | −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 | ||||||
\(306\) | −1.28428e18 | − | 2.52385e18i | −0.292246 | − | 0.574319i | ||||
\(307\) | − | 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 | \(-0.349891\pi\) | ||||
0.454295 | + | 0.890851i | \(0.349891\pi\) | |||||||
\(312\) | 6.58228e18 | + | 3.40970e17i | 1.29484 | + | 0.0670744i | ||||
\(313\) | −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 | \(-0.594800\pi\) | ||
0.293440 | − | 0.955977i | \(-0.405200\pi\) | |||||||
\(318\) | −2.38694e17 | + | 4.93648e17i | −0.0407042 | + | 0.0841810i | ||||
\(319\) | 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 | ||||||||
\(324\) | 3.97136e18 | − | 5.45394e18i | 0.588643 | − | 0.808393i | ||||
\(325\) | −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 | ||||||
\(330\) | −5.49395e17 | + | 1.13621e18i | −0.0709627 | + | 0.146759i | ||||
\(331\) | − | 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 | ||||||||
\(336\) | 2.79315e18 | − | 4.15177e17i | 0.315174 | − | 0.0468478i | ||||
\(337\) | 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 | ||||||
\(342\) | −6.29697e18 | − | 1.23747e19i | −0.622209 | − | 1.22276i | ||||
\(343\) | 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 | \(-0.773235\pi\) | ||||
−0.756793 | + | 0.653654i | \(0.773235\pi\) | |||||||
\(348\) | 9.55692e18 | + | 2.45118e18i | 0.828846 | + | 0.212584i | ||||
\(349\) | 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 | \(0.0529985\pi\) | ||||
−0.986171 | + | 0.165731i | \(0.947002\pi\) | |||||||
\(354\) | −8.59419e18 | − | 4.15556e18i | −0.655663 | − | 0.317034i | ||||
\(355\) | − | 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 | \(-0.407484\pi\) | ||||
0.286572 | + | 0.958059i | \(0.407484\pi\) | |||||||
\(360\) | 2.17657e18 | + | 1.83873e18i | 0.146388 | + | 0.123666i | ||||
\(361\) | −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 | ||||||
\(366\) | 5.94202e18 | + | 2.87315e18i | 0.353042 | + | 0.170707i | ||||
\(367\) | 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 | ||||||||
\(372\) | −1.53778e19 | − | 3.94414e18i | −0.808766 | − | 0.207434i | ||||
\(373\) | 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 | ||||||||
\(378\) | 6.72186e18 | + | 1.21618e18i | 0.313546 | + | 0.0567297i | ||||
\(379\) | − | 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 | \(-0.309187\pi\) | ||||
0.564195 | + | 0.825642i | \(0.309187\pi\) | |||||||
\(384\) | −1.77264e19 | + | 1.63657e19i | −0.734744 | + | 0.678345i | ||||
\(385\) | −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 | \(0.0842555\pi\) | ||||
−0.965172 | + | 0.261616i | \(0.915745\pi\) | |||||||
\(390\) | −2.93124e18 | + | 6.06215e18i | −0.108160 | + | 0.223688i | ||||
\(391\) | 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 | ||||||||
\(396\) | −1.60536e19 | − | 2.02621e19i | −0.528272 | − | 0.666763i | ||||
\(397\) | 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 | \(0.150315\pi\) | ||||
−0.890557 | + | 0.454871i | \(0.849685\pi\) | |||||||
\(402\) | −8.23233e18 | + | 1.70254e19i | −0.242007 | + | 0.500499i | ||||
\(403\) | − | 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 | ||||||||
\(408\) | −1.26725e18 | + | 2.44638e19i | −0.0333359 | + | 0.643536i | ||||
\(409\) | 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 | ||||||
\(414\) | −3.38406e19 | + | 1.72200e19i | −0.797876 | + | 0.406005i | ||||
\(415\) | − | 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 | \(-0.737172\pi\) | ||||
−0.678043 | + | 0.735022i | \(0.737172\pi\) | |||||||
\(420\) | −7.16729e17 | + | 2.79445e18i | −0.0151700 | + | 0.0591463i | ||||
\(421\) | −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 | ||||||
\(426\) | 8.64566e19 | + | 4.18045e19i | 1.64523 | + | 0.795519i | ||||
\(427\) | 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 | \(-0.510955\pi\) | ||||
−0.0344106 | + | 0.999408i | \(0.510955\pi\) | |||||||
\(432\) | −5.33143e19 | + | 2.37418e19i | −0.913515 | + | 0.406805i | ||||
\(433\) | −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 | ||||||||
\(438\) | 8.25258e19 | + | 3.99038e19i | 1.27507 | + | 0.616536i | ||||
\(439\) | 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 | \(-0.535306\pi\) | ||||
−0.110691 | + | 0.993855i | \(0.535306\pi\) | |||||||
\(444\) | 1.30271e19 | − | 5.07914e19i | 0.181751 | − | 0.708628i | ||||
\(445\) | −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 | \(0.0620184\pi\) | ||||
−0.981079 | + | 0.193606i | \(0.937982\pi\) | |||||||
\(450\) | 6.80524e19 | − | 3.46290e19i | 0.858518 | − | 0.436864i | ||||
\(451\) | 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 | ||||||||
\(456\) | −6.21349e18 | + | 1.19949e20i | −0.0709740 | + | 1.37012i | ||||
\(457\) | 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 | \(0.112468\pi\) | ||||
−0.938226 | + | 0.346022i | \(0.887532\pi\) | |||||||
\(462\) | 1.13940e19 | − | 2.35641e19i | 0.117994 | − | 0.244026i | ||||
\(463\) | 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 | \(-0.535475\pi\) | ||||
−0.111218 | + | 0.993796i | \(0.535475\pi\) | |||||||
\(468\) | −8.56521e19 | − | 1.08107e20i | −0.805182 | − | 1.01627i | ||||
\(469\) | −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 | ||||||
\(474\) | 3.64951e19 | − | 7.54762e19i | 0.311815 | − | 0.644870i | ||||
\(475\) | − | 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 | \(-0.663072\pi\) | ||||
−0.490188 | + | 0.871617i | \(0.663072\pi\) | |||||||
\(480\) | −8.37926e18 | − | 2.31796e19i | −0.0651473 | − | 0.180217i | ||||
\(481\) | 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 | ||||||
\(486\) | −1.40577e20 | + | 1.30265e19i | −0.995734 | + | 0.0922687i | ||||
\(487\) | − | 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 | \(-0.262357\pi\) | ||||
0.679130 | + | 0.734018i | \(0.262357\pi\) | |||||||
\(492\) | 8.49240e19 | + | 2.17815e19i | 0.548646 | + | 0.140718i | ||||
\(493\) | −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 | ||||||||
\(498\) | 4.95738e19 | + | 2.39705e19i | 0.292437 | + | 0.141402i | ||||
\(499\) | − | 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 | \(-0.276773\pi\) | ||||
0.645203 | + | 0.764011i | \(0.276773\pi\) | |||||||
\(504\) | −4.51401e19 | − | 3.81336e19i | −0.243407 | − | 0.205626i | ||||
\(505\) | 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 | \(-0.691245\pi\) | ||
0.565314 | − | 0.824876i | \(-0.308755\pi\) | |||||||
\(510\) | −2.25307e19 | − | 1.08943e19i | −0.111173 | − | 0.0537555i | ||||
\(511\) | 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 | ||||||||
\(516\) | −3.47769e20 | − | 8.91967e19i | −1.57188 | − | 0.403159i | ||||
\(517\) | 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 | \(-0.778527\pi\) | ||
0.767555 | − | 0.640983i | \(-0.221473\pi\) | |||||||
\(522\) | −9.36335e19 | − | 1.84007e20i | −0.388063 | − | 0.762617i | ||||
\(523\) | 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 | ||||||||
\(528\) | 3.28784e19 | + | 2.21193e20i | 0.125071 | + | 0.841428i | ||||
\(529\) | −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 | ||||||||
\(534\) | 1.44894e20 | − | 2.99658e20i | 0.506397 | − | 1.04729i | ||||
\(535\) | 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 | ||||||||
\(540\) | −1.21163e18 | − | 5.96114e19i | −0.00389418 | − | 0.191592i | ||||
\(541\) | −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 | ||||||||
\(546\) | 6.07913e19 | − | 1.25724e20i | 0.179844 | − | 0.371939i | ||||
\(547\) | 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 | ||||||||
\(552\) | 3.28019e20 | + | 1.69917e19i | 0.894037 | + | 0.0463121i | ||||
\(553\) | 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 | \(-0.791068\pi\) | ||
0.792206 | − | 0.610253i | \(-0.208932\pi\) | |||||||
\(558\) | 1.50664e20 | + | 2.96082e20i | 0.378662 | + | 0.744141i | ||||
\(559\) | − | 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 | \(-0.537723\pi\) | ||||
−0.118232 | + | 0.992986i | \(0.537723\pi\) | |||||||
\(564\) | 1.97367e20 | − | 7.69514e20i | 0.457806 | − | 1.78494i | ||||
\(565\) | −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 | \(0.0343445\pi\) | ||||
−0.994185 | + | 0.107687i | \(0.965655\pi\) | |||||||
\(570\) | −1.10470e20 | − | 5.34159e19i | −0.236693 | − | 0.114448i | ||||
\(571\) | 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 | ||||||||
\(576\) | 5.02155e20 | + | 5.21644e19i | 0.994648 | + | 0.103325i | ||||
\(577\) | −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 | ||||||||
\(582\) | 1.21936e20 | + | 5.89599e19i | 0.223465 | + | 0.108052i | ||||
\(583\) | − | 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 | \(-0.433008\pi\) | ||||
0.208911 | + | 0.977935i | \(0.433008\pi\) | |||||||
\(588\) | −1.31540e20 | + | 5.12861e20i | −0.223217 | + | 0.870301i | ||||
\(589\) | 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 | \(0.182331\pi\) | ||||
−0.840382 | + | 0.541995i | \(0.817669\pi\) | |||||||
\(594\) | −9.63109e19 | + | 5.32312e20i | −0.151453 | + | 0.837082i | ||||
\(595\) | − | 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 | \(-0.507844\pi\) | ||||
−0.0246412 | + | 0.999696i | \(0.507844\pi\) | |||||||
\(600\) | −6.59635e20 | − | 3.41699e19i | −0.961988 | − | 0.0498321i | ||||
\(601\) | 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 | ||||||||
\(606\) | −2.15109e20 | + | 4.44872e20i | −0.291149 | + | 0.602130i | ||||
\(607\) | 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 | ||||||||
\(612\) | 4.01790e20 | − | 3.18336e20i | 0.505084 | − | 0.400175i | ||||
\(613\) | −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 | \(0.0598812\pi\) | ||||
−0.982357 | + | 0.187015i | \(0.940119\pi\) | |||||||
\(618\) | −4.60299e20 | + | 9.51953e20i | −0.537807 | + | 1.11225i | ||||
\(619\) | − | 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 | ||||||||
\(624\) | 1.75419e20 | + | 1.18015e21i | 0.190631 | + | 1.28249i | ||||
\(625\) | 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 | ||||||||
\(630\) | 5.38039e19 | − | 2.73786e19i | 0.0544202 | − | 0.0276921i | ||||
\(631\) | − | 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 | ||||||||
\(636\) | −9.61460e19 | − | 2.46598e19i | −0.0905738 | − | 0.0232306i | ||||
\(637\) | −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 | \(-0.962823\pi\) | ||
0.993187 | − | 0.116531i | \(-0.0371775\pi\) | |||||||
\(642\) | −1.03396e21 | − | 4.99954e20i | −0.907805 | − | 0.438952i | ||||
\(643\) | 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 | \(-0.801417\pi\) | ||||
−0.811625 | + | 0.584179i | \(0.801417\pi\) | |||||||
\(648\) | 1.11006e21 | + | 5.09183e20i | 0.908939 | + | 0.416928i | ||||
\(649\) | 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 | \(0.211965\pi\) | ||||
−0.786356 | + | 0.617773i | \(0.788035\pi\) | |||||||
\(654\) | −1.63316e21 | − | 7.89685e20i | −1.24795 | − | 0.603421i | ||||
\(655\) | − | 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 | \(-0.546964\pi\) | ||||
−0.147006 | + | 0.989136i | \(0.546964\pi\) | |||||||
\(660\) | −2.21296e20 | − | 5.67586e19i | −0.157904 | − | 0.0404997i | ||||
\(661\) | 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 | ||||||
\(666\) | −9.77929e20 | + | 4.97627e20i | −0.652005 | + | 0.331778i | ||||
\(667\) | 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 | ||||||||
\(672\) | 1.73778e20 | + | 4.80724e20i | 0.108324 | + | 0.299658i | ||||
\(673\) | 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 | \(0.0805332\pi\) | ||||
−0.968165 | + | 0.250312i | \(0.919467\pi\) | |||||||
\(678\) | 1.38718e21 | − | 2.86884e21i | 0.808926 | − | 1.67295i | ||||
\(679\) | 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 | \(-0.525137\pi\) | ||||
−0.0788889 | + | 0.996883i | \(0.525137\pi\) | |||||||
\(684\) | 1.97002e21 | − | 1.56084e21i | 1.07535 | − | 0.851994i | ||||
\(685\) | −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 | ||||||
\(690\) | −1.46074e20 | + | 3.02099e20i | −0.0746801 | + | 0.154447i | ||||
\(691\) | 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 | ||||||||
\(696\) | −9.23922e19 | + | 1.78359e21i | −0.0442656 | + | 0.854528i | ||||
\(697\) | −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 | \(-0.962913\pi\) | ||
0.993220 | − | 0.116249i | \(-0.0370871\pi\) | |||||||
\(702\) | −5.13857e20 | + | 2.84010e21i | −0.230841 | + | 1.27586i | ||||
\(703\) | 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 | ||||||||
\(708\) | 4.29315e20 | − | 1.67386e21i | 0.180937 | − | 0.705455i | ||||
\(709\) | −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 | ||||||
\(714\) | 4.67266e20 | + | 2.25938e20i | 0.184853 | + | 0.0893824i | ||||
\(715\) | − | 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 | \(-0.448739\pi\) | ||||
0.160345 | + | 0.987061i | \(0.448739\pi\) | |||||||
\(720\) | −2.48244e20 | + | 4.52104e20i | −0.0922327 | + | 0.167975i | ||||
\(721\) | −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 | ||||||
\(726\) | −7.12641e20 | − | 3.44584e20i | −0.248798 | − | 0.120301i | ||||
\(727\) | − | 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 | ||||||||
\(732\) | −2.96828e20 | + | 1.15730e21i | −0.0974254 | + | 0.379852i | ||||
\(733\) | 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 | ||||||
\(738\) | −8.32039e20 | − | 1.63511e21i | −0.256875 | − | 0.504806i | ||||
\(739\) | − | 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 | \(-0.470821\pi\) | ||||
0.0915401 | + | 0.995801i | \(0.470821\pi\) | |||||||
\(744\) | 1.48666e20 | − | 2.86994e21i | 0.0431931 | − | 0.833826i | ||||
\(745\) | 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 | ||||||
\(750\) | 5.98700e20 | − | 1.23818e21i | 0.163776 | − | 0.338708i | ||||
\(751\) | − | 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 | ||||||||
\(756\) | 2.51280e19 | + | 1.23629e21i | 0.00647508 | + | 0.318571i | ||||
\(757\) | −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 | \(0.116317\pi\) | ||||
−0.933974 | + | 0.357342i | \(0.883683\pi\) | |||||||
\(762\) | 2.82832e21 | − | 5.84929e21i | 0.686856 | − | 1.42050i | ||||
\(763\) | − | 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 | ||||||||
\(768\) | −3.53920e21 | − | 2.55872e21i | −0.810393 | − | 0.585886i | ||||
\(769\) | 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 | \(-0.728178\pi\) | ||
0.657007 | − | 0.753885i | \(-0.271822\pi\) | |||||||
\(774\) | 3.40725e21 | + | 6.69589e21i | 0.735948 | + | 1.44627i | ||||
\(775\) | 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 | ||||||||
\(780\) | −1.18070e21 | − | 3.02829e20i | −0.240675 | − | 0.0617289i | ||||
\(781\) | −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 | ||||||
\(786\) | 4.29085e21 | + | 2.07476e21i | 0.825799 | + | 0.399300i | ||||
\(787\) | 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 | ||||||||
\(792\) | 3.01984e21 | − | 3.57470e21i | 0.548965 | − | 0.649831i | ||||
\(793\) | −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 | \(0.185127\pi\) | ||||
−0.835588 | + | 0.549357i | \(0.814873\pi\) | |||||||
\(798\) | 2.29106e21 | + | 1.10780e21i | 0.393563 | + | 0.190300i | ||||
\(799\) | 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 | ||||||||
\(804\) | −3.31598e21 | − | 8.50490e20i | −0.538507 | − | 0.138118i | ||||
\(805\) | −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 | \(0.0706498\pi\) | ||||
−0.975469 | + | 0.220135i | \(0.929350\pi\) | |||||||
\(810\) | −9.19603e20 | + | 8.43231e20i | −0.141242 | + | 0.129512i | ||||
\(811\) | − | 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 | ||||||||
\(816\) | −4.38617e21 | + | 6.51965e20i | −0.637396 | + | 0.0947432i | ||||
\(817\) | 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 | \(-0.850266\pi\) | ||
0.891385 | − | 0.453247i | \(-0.149734\pi\) | |||||||
\(822\) | 5.40541e21 | − | 1.11790e22i | 0.743515 | − | 1.53768i | ||||
\(823\) | 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 | \(-0.591688\pi\) | ||||
−0.284078 | + | 0.958801i | \(0.591688\pi\) | |||||||
\(828\) | −4.26835e21 | − | 5.38733e21i | −0.555946 | − | 0.701691i | ||||
\(829\) | 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 | ||||||
\(834\) | −4.10070e20 | + | 8.48073e20i | −0.0505955 | + | 0.104638i | ||||
\(835\) | 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 | \(-0.611834\pi\) | ||||
−0.344155 | + | 0.938913i | \(0.611834\pi\) | |||||||
\(840\) | −5.21524e20 | − | 2.70156e19i | −0.0609790 | − | 0.00315878i | ||||
\(841\) | 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 | ||||||
\(846\) | −1.48161e22 | + | 7.53928e21i | −1.64231 | + | 0.835704i | ||||
\(847\) | − | 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 | ||||||||
\(852\) | −4.31886e21 | + | 1.68388e22i | −0.454017 | + | 1.77017i | ||||
\(853\) | −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 | \(0.263698\pi\) | ||||
−0.676033 | + | 0.736872i | \(0.736302\pi\) | |||||||
\(858\) | 9.95619e21 | + | 4.81413e21i | 0.992976 | + | 0.480135i | ||||
\(859\) | − | 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 | \(-0.570456\pi\) | ||||
−0.219540 | + | 0.975604i | \(0.570456\pi\) | |||||||
\(864\) | −6.12351e21 | − | 8.60891e21i | −0.579626 | − | 0.814883i | ||||
\(865\) | −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 | ||||||||
\(870\) | −1.64265e21 | − | 7.94274e20i | −0.147622 | − | 0.0713799i | ||||
\(871\) | − | 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 | ||||||||
\(876\) | −4.12250e21 | + | 1.60732e22i | −0.351868 | + | 1.37190i | ||||
\(877\) | −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 | \(-0.779511\pi\) | ||
0.769533 | − | 0.638607i | \(-0.220489\pi\) | |||||||
\(882\) | 9.87453e21 | − | 5.02473e21i | 0.800759 | − | 0.407473i | ||||
\(883\) | − | 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 | \(-0.205186\pi\) | ||||
0.799334 | + | 0.600887i | \(0.205186\pi\) | |||||||
\(888\) | 9.47912e21 | + | 4.91029e20i | 0.730585 | + | 0.0378451i | ||||
\(889\) | 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 | ||||||||
\(894\) | −1.80380e20 | + | 3.73046e20i | −0.0132177 | + | 0.0273358i | ||||
\(895\) | 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 | ||||||||
\(900\) | 8.58352e21 | + | 1.08338e22i | 0.598200 | + | 0.755023i | ||||
\(901\) | 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 | ||||||||
\(906\) | −4.03554e21 | + | 8.34597e21i | −0.267571 | + | 0.553369i | ||||
\(907\) | − | 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 | \(-0.425147\pi\) | ||||
0.232997 | + | 0.972477i | \(0.425147\pi\) | |||||||
\(912\) | −2.15059e22 | + | 3.19666e21i | −1.35705 | + | 0.201713i | ||||
\(913\) | −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 | ||||||||
\(918\) | −1.05555e22 | − | 1.90981e21i | −0.634104 | − | 0.114728i | ||||
\(919\) | 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 | ||||||||
\(924\) | 4.58948e21 | + | 1.17712e21i | 0.262557 | + | 0.0673413i | ||||
\(925\) | −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 | \(0.214950\pi\) | ||||
−0.780528 | + | 0.625121i | \(0.785050\pi\) | |||||||
\(930\) | 2.64315e21 | + | 1.27805e21i | 0.144046 | + | 0.0696506i | ||||
\(931\) | − | 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 | ||||||||
\(936\) | 1.61120e22 | − | 1.90724e22i | 0.836723 | − | 0.990461i | ||||
\(937\) | 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 | \(-0.880415\pi\) | ||
0.930256 | − | 0.366911i | \(-0.119585\pi\) | |||||||
\(942\) | 1.43908e22 | + | 6.95838e21i | 0.712364 | + | 0.344450i | ||||
\(943\) | 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 | \(-0.640537\pi\) | ||||
−0.427306 | + | 0.904107i | \(0.640537\pi\) | |||||||
\(948\) | 1.47002e22 | + | 3.77035e21i | 0.693842 | + | 0.177958i | ||||
\(949\) | −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 | \(-0.594193\pi\) | ||
0.291616 | − | 0.956535i | \(-0.405807\pi\) | |||||||
\(954\) | 9.41986e20 | + | 1.85118e21i | 0.0424064 | + | 0.0833365i | ||||
\(955\) | − | 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 | ||||||||
\(960\) | 3.81256e21 | − | 2.31757e21i | 0.163751 | − | 0.0995403i | ||||
\(961\) | 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 | ||||||||
\(966\) | 3.02945e21 | − | 6.26525e21i | 0.124175 | − | 0.256809i | ||||
\(967\) | − | 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 | \(-0.294191\pi\) | ||||
0.602450 | + | 0.798156i | \(0.294191\pi\) | |||||||
\(972\) | −7.34987e21 | − | 2.44765e22i | −0.287596 | − | 0.957752i | ||||
\(973\) | −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 | \(0.0725847\pi\) | ||||
−0.974113 | + | 0.226061i | \(0.927415\pi\) | |||||||
\(978\) | −3.32108e20 | + | 6.86838e20i | −0.0124090 | + | 0.0256633i | ||||
\(979\) | 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 | \(-0.864934\pi\) | ||||
−0.911318 | + | 0.411703i | \(0.864934\pi\) | |||||||
\(984\) | −8.21009e20 | + | 1.58492e22i | −0.0293011 | + | 0.565646i | ||||
\(985\) | 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 | ||||||
\(990\) | 2.16814e21 | + | 4.26080e21i | 0.0739304 | + | 0.145287i | ||||
\(991\) | 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 | ||||||||
\(996\) | −2.47641e21 | + | 9.65529e21i | −0.0807008 | + | 0.314645i | ||||
\(997\) | 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.11.16 | yes | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.13 | ✓ | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.14 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.15 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.13 | ✓ | 28 | 3.2 | odd | 2 | inner | |
12.16.b.a.11.14 | yes | 28 | 4.3 | odd | 2 | inner | |
12.16.b.a.11.15 | yes | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.16 | yes | 28 | 1.1 | even | 1 | trivial |