Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,9,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.55495081128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 1331 x^{10} + 1482 x^{9} + 1359381 x^{8} + 1222227 x^{7} + 474169529 x^{6} + 1911324162 x^{5} + 121870629463 x^{4} + \cdots + 556282980265104 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{5}\cdot 7^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Root | \(3.88954 + 6.73687i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.19 |
Dual form | 21.9.f.b.10.3 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.38954 | + | 5.87085i | −0.211846 | + | 0.366928i | −0.952292 | − | 0.305188i | \(-0.901281\pi\) |
0.740446 | + | 0.672116i | \(0.234614\pi\) | |||||||
\(3\) | 40.5000 | − | 23.3827i | 0.500000 | − | 0.288675i | ||||
\(4\) | 105.022 | + | 181.904i | 0.410243 | + | 0.710561i | ||||
\(5\) | −231.653 | − | 133.745i | −0.370645 | − | 0.213992i | 0.303095 | − | 0.952960i | \(-0.401980\pi\) |
−0.673740 | + | 0.738968i | \(0.735313\pi\) | |||||||
\(6\) | 317.026i | 0.244619i | ||||||||
\(7\) | 2354.84 | + | 468.558i | 0.980773 | + | 0.195151i | ||||
\(8\) | −3159.35 | −0.771325 | ||||||||
\(9\) | 1093.50 | − | 1894.00i | 0.166667 | − | 0.288675i | ||||
\(10\) | 1570.39 | − | 906.668i | 0.157039 | − | 0.0906668i | ||||
\(11\) | 9586.51 | + | 16604.3i | 0.654771 | + | 1.13410i | 0.981951 | + | 0.189135i | \(0.0605684\pi\) |
−0.327180 | + | 0.944962i | \(0.606098\pi\) | |||||||
\(12\) | 8506.79 | + | 4911.40i | 0.410243 | + | 0.236854i | ||||
\(13\) | 40724.3i | 1.42587i | 0.701230 | + | 0.712935i | \(0.252634\pi\) | ||||
−0.701230 | + | 0.712935i | \(0.747366\pi\) | |||||||
\(14\) | −10732.6 | + | 12236.7i | −0.279379 | + | 0.318531i | ||||
\(15\) | −12509.3 | −0.247097 | ||||||||
\(16\) | −16176.9 | + | 28019.3i | −0.246840 | + | 0.427540i | ||||
\(17\) | −7569.41 | + | 4370.20i | −0.0906288 | + | 0.0523246i | −0.544629 | − | 0.838677i | \(-0.683330\pi\) |
0.454001 | + | 0.891001i | \(0.349996\pi\) | |||||||
\(18\) | 7412.92 | + | 12839.5i | 0.0706153 | + | 0.122309i | ||||
\(19\) | 107434. | + | 62026.8i | 0.824377 | + | 0.475954i | 0.851923 | − | 0.523666i | \(-0.175436\pi\) |
−0.0275466 | + | 0.999621i | \(0.508769\pi\) | |||||||
\(20\) | − | 56184.8i | − | 0.351155i | ||||||
\(21\) | 106327. | − | 36085.8i | 0.546722 | − | 0.185549i | ||||
\(22\) | −129975. | −0.554843 | ||||||||
\(23\) | 188368. | − | 326263.i | 0.673126 | − | 1.16589i | −0.303887 | − | 0.952708i | \(-0.598285\pi\) |
0.977013 | − | 0.213180i | \(-0.0683820\pi\) | |||||||
\(24\) | −127954. | + | 73874.0i | −0.385662 | + | 0.222662i | ||||
\(25\) | −159537. | − | 276326.i | −0.408415 | − | 0.707395i | ||||
\(26\) | −239086. | − | 138036.i | −0.523192 | − | 0.302065i | ||||
\(27\) | − | 102276.i | − | 0.192450i | ||||||
\(28\) | 162078. | + | 477562.i | 0.263688 | + | 0.776958i | ||||
\(29\) | −927223. | −1.31097 | −0.655484 | − | 0.755209i | \(-0.727535\pi\) | ||||
−0.655484 | + | 0.755209i | \(0.727535\pi\) | |||||||
\(30\) | 42400.6 | − | 73440.1i | 0.0523465 | − | 0.0906668i | ||||
\(31\) | 837032. | − | 483261.i | 0.906349 | − | 0.523281i | 0.0270943 | − | 0.999633i | \(-0.491375\pi\) |
0.879255 | + | 0.476352i | \(0.158041\pi\) | |||||||
\(32\) | −514061. | − | 890380.i | −0.490247 | − | 0.849132i | ||||
\(33\) | 776507. | + | 448316.i | 0.654771 | + | 0.378032i | ||||
\(34\) | − | 59251.8i | − | 0.0443390i | ||||||
\(35\) | −482838. | − | 423491.i | −0.321758 | − | 0.282210i | ||||
\(36\) | 459367. | 0.273495 | ||||||||
\(37\) | −461288. | + | 798974.i | −0.246130 | + | 0.426310i | −0.962449 | − | 0.271463i | \(-0.912493\pi\) |
0.716318 | + | 0.697774i | \(0.245826\pi\) | |||||||
\(38\) | −728300. | + | 420484.i | −0.349282 | + | 0.201658i | ||||
\(39\) | 952243. | + | 1.64933e6i | 0.411613 | + | 0.712935i | ||||
\(40\) | 731873. | + | 422547.i | 0.285888 | + | 0.165057i | ||||
\(41\) | − | 2.47157e6i | − | 0.874655i | −0.899302 | − | 0.437327i | \(-0.855925\pi\) | ||
0.899302 | − | 0.437327i | \(-0.144075\pi\) | |||||||
\(42\) | −148545. | + | 746544.i | −0.0477376 | + | 0.239915i | ||||
\(43\) | 1.37320e6 | 0.401660 | 0.200830 | − | 0.979626i | \(-0.435636\pi\) | ||||
0.200830 | + | 0.979626i | \(0.435636\pi\) | |||||||
\(44\) | −2.01359e6 | + | 3.48764e6i | −0.537230 | + | 0.930510i | ||||
\(45\) | −506626. | + | 292500.i | −0.123548 | + | 0.0713307i | ||||
\(46\) | 1.27696e6 | + | 2.21176e6i | 0.285198 | + | 0.493977i | ||||
\(47\) | 2.78766e6 | + | 1.60946e6i | 0.571279 | + | 0.329828i | 0.757660 | − | 0.652649i | \(-0.226343\pi\) |
−0.186381 | + | 0.982478i | \(0.559676\pi\) | |||||||
\(48\) | 1.51304e6i | 0.285027i | ||||||||
\(49\) | 5.32571e6 | + | 2.20675e6i | 0.923832 | + | 0.382798i | ||||
\(50\) | 2.16303e6 | 0.346084 | ||||||||
\(51\) | −204374. | + | 353986.i | −0.0302096 | + | 0.0523246i | ||||
\(52\) | −7.40789e6 | + | 4.27695e6i | −1.01317 | + | 0.584952i | ||||
\(53\) | −7.69978e6 | − | 1.33364e7i | −0.975832 | − | 1.69019i | −0.677162 | − | 0.735834i | \(-0.736790\pi\) |
−0.298670 | − | 0.954356i | \(-0.596543\pi\) | |||||||
\(54\) | 600446. | + | 346668.i | 0.0706153 | + | 0.0407698i | ||||
\(55\) | − | 5.12859e6i | − | 0.560464i | ||||||
\(56\) | −7.43975e6 | − | 1.48034e6i | −0.756495 | − | 0.150525i | ||||
\(57\) | 5.80142e6 | 0.549585 | ||||||||
\(58\) | 3.14285e6 | − | 5.44358e6i | 0.277723 | − | 0.481031i | ||||
\(59\) | −2.49651e6 | + | 1.44136e6i | −0.206028 | + | 0.118950i | −0.599464 | − | 0.800402i | \(-0.704620\pi\) |
0.393436 | + | 0.919352i | \(0.371286\pi\) | |||||||
\(60\) | −1.31375e6 | − | 2.27548e6i | −0.101370 | − | 0.175577i | ||||
\(61\) | 1.44479e6 | + | 834148.i | 0.104348 | + | 0.0602454i | 0.551266 | − | 0.834330i | \(-0.314145\pi\) |
−0.446918 | + | 0.894575i | \(0.647478\pi\) | |||||||
\(62\) | 6.55212e6i | 0.443420i | ||||||||
\(63\) | 3.46246e6 | − | 3.94769e6i | 0.219797 | − | 0.250600i | ||||
\(64\) | −1.31288e6 | −0.0782535 | ||||||||
\(65\) | 5.44667e6 | − | 9.43391e6i | 0.305125 | − | 0.528492i | ||||
\(66\) | −5.26400e6 | + | 3.03917e6i | −0.277421 | + | 0.160169i | ||||
\(67\) | −8.55413e6 | − | 1.48162e7i | −0.424499 | − | 0.735254i | 0.571874 | − | 0.820341i | \(-0.306216\pi\) |
−0.996374 | + | 0.0850872i | \(0.972883\pi\) | |||||||
\(68\) | −1.58991e6 | − | 917935.i | −0.0743596 | − | 0.0429315i | ||||
\(69\) | − | 1.76182e7i | − | 0.777258i | ||||||
\(70\) | 4.12285e6 | − | 1.39923e6i | 0.171714 | − | 0.0582771i | ||||
\(71\) | 3.12574e7 | 1.23004 | 0.615020 | − | 0.788511i | \(-0.289148\pi\) | ||||
0.615020 | + | 0.788511i | \(0.289148\pi\) | |||||||
\(72\) | −3.45475e6 | + | 5.98380e6i | −0.128554 | + | 0.222662i | ||||
\(73\) | −2.38356e7 | + | 1.37615e7i | −0.839333 | + | 0.484589i | −0.857038 | − | 0.515254i | \(-0.827698\pi\) |
0.0177042 | + | 0.999843i | \(0.494364\pi\) | |||||||
\(74\) | −3.12711e6 | − | 5.41631e6i | −0.104284 | − | 0.180624i | ||||
\(75\) | −1.29225e7 | − | 7.46081e6i | −0.408415 | − | 0.235798i | ||||
\(76\) | 2.60567e7i | 0.781027i | ||||||||
\(77\) | 1.47946e7 | + | 4.35923e7i | 0.420862 | + | 1.24007i | ||||
\(78\) | −1.29106e7 | −0.348794 | ||||||||
\(79\) | 1.23733e7 | − | 2.14311e7i | 0.317670 | − | 0.550220i | −0.662332 | − | 0.749211i | \(-0.730433\pi\) |
0.980001 | + | 0.198991i | \(0.0637663\pi\) | |||||||
\(80\) | 7.49488e6 | − | 4.32717e6i | 0.182980 | − | 0.105644i | ||||
\(81\) | −2.39148e6 | − | 4.14217e6i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 1.45102e7 | + | 8.37746e6i | 0.320935 | + | 0.185292i | ||||
\(83\) | 5.98657e7i | 1.26144i | 0.776012 | + | 0.630718i | \(0.217240\pi\) | ||||
−0.776012 | + | 0.630718i | \(0.782760\pi\) | |||||||
\(84\) | 1.77308e7 | + | 1.55515e7i | 0.356133 | + | 0.312359i | ||||
\(85\) | 2.33797e6 | 0.0447882 | ||||||||
\(86\) | −4.65450e6 | + | 8.06182e6i | −0.0850901 | + | 0.147380i | ||||
\(87\) | −3.75525e7 | + | 2.16810e7i | −0.655484 | + | 0.378444i | ||||
\(88\) | −3.02871e7 | − | 5.24588e7i | −0.505041 | − | 0.874757i | ||||
\(89\) | 5.94265e7 | + | 3.43099e7i | 0.947153 | + | 0.546839i | 0.892195 | − | 0.451650i | \(-0.149164\pi\) |
0.0549574 | + | 0.998489i | \(0.482498\pi\) | |||||||
\(90\) | − | 3.96576e6i | − | 0.0604445i | ||||||
\(91\) | −1.90817e7 | + | 9.58990e7i | −0.278260 | + | 1.39845i | ||||
\(92\) | 7.91313e7 | 1.10458 | ||||||||
\(93\) | 2.25999e7 | − | 3.91441e7i | 0.302116 | − | 0.523281i | ||||
\(94\) | −1.88977e7 | + | 1.09106e7i | −0.242046 | + | 0.139746i | ||||
\(95\) | −1.65916e7 | − | 2.87374e7i | −0.203701 | − | 0.352820i | ||||
\(96\) | −4.16389e7 | − | 2.40403e7i | −0.490247 | − | 0.283044i | ||||
\(97\) | − | 1.66923e8i | − | 1.88551i | −0.333482 | − | 0.942757i | \(-0.608224\pi\) | ||
0.333482 | − | 0.942757i | \(-0.391776\pi\) | |||||||
\(98\) | −3.10072e7 | + | 2.37866e7i | −0.336169 | + | 0.257886i | ||||
\(99\) | 4.19314e7 | 0.436514 | ||||||||
\(100\) | 3.35098e7 | − | 5.80407e7i | 0.335098 | − | 0.580407i | ||||
\(101\) | −1.23598e8 | + | 7.13591e7i | −1.18775 | + | 0.685747i | −0.957794 | − | 0.287454i | \(-0.907191\pi\) |
−0.229954 | + | 0.973201i | \(0.573858\pi\) | |||||||
\(102\) | −1.38547e6 | − | 2.39970e6i | −0.0127996 | − | 0.0221695i | ||||
\(103\) | −5.00884e7 | − | 2.89186e7i | −0.445029 | − | 0.256938i | 0.260699 | − | 0.965420i | \(-0.416047\pi\) |
−0.705729 | + | 0.708482i | \(0.749380\pi\) | |||||||
\(104\) | − | 1.28662e8i | − | 1.09981i | ||||||
\(105\) | −2.94573e7 | − | 5.86132e6i | −0.242346 | − | 0.0482212i | ||||
\(106\) | 1.04395e8 | 0.826904 | ||||||||
\(107\) | 4.47179e7 | − | 7.74538e7i | 0.341151 | − | 0.590891i | −0.643496 | − | 0.765450i | \(-0.722517\pi\) |
0.984647 | + | 0.174559i | \(0.0558499\pi\) | |||||||
\(108\) | 1.86043e7 | − | 1.07412e7i | 0.136748 | − | 0.0789512i | ||||
\(109\) | 1.75975e7 | + | 3.04797e7i | 0.124665 | + | 0.215926i | 0.921602 | − | 0.388136i | \(-0.126881\pi\) |
−0.796937 | + | 0.604062i | \(0.793548\pi\) | |||||||
\(110\) | 3.01092e7 | + | 1.73835e7i | 0.205650 | + | 0.118732i | ||||
\(111\) | 4.31446e7i | 0.284207i | ||||||||
\(112\) | −5.12227e7 | + | 5.84010e7i | −0.325529 | + | 0.371149i | ||||
\(113\) | −6.70322e7 | −0.411121 | −0.205560 | − | 0.978644i | \(-0.565902\pi\) | ||||
−0.205560 | + | 0.978644i | \(0.565902\pi\) | |||||||
\(114\) | −1.96641e7 | + | 3.40592e7i | −0.116427 | + | 0.201658i | ||||
\(115\) | −8.72722e7 | + | 5.03866e7i | −0.498982 | + | 0.288087i | ||||
\(116\) | −9.73789e7 | − | 1.68665e8i | −0.537815 | − | 0.931522i | ||||
\(117\) | 7.71317e7 | + | 4.45320e7i | 0.411613 | + | 0.237645i | ||||
\(118\) | − | 1.95422e7i | − | 0.100796i | ||||||
\(119\) | −1.98724e7 | + | 6.74440e6i | −0.0990975 | + | 0.0336322i | ||||
\(120\) | 3.95211e7 | 0.190592 | ||||||||
\(121\) | −7.66227e7 | + | 1.32714e8i | −0.357451 | + | 0.619123i | ||||
\(122\) | −9.79431e6 | + | 5.65475e6i | −0.0442114 | + | 0.0255255i | ||||
\(123\) | −5.77918e7 | − | 1.00098e8i | −0.252491 | − | 0.437327i | ||||
\(124\) | 1.75814e8 | + | 1.01506e8i | 0.743646 | + | 0.429344i | ||||
\(125\) | 1.89838e8i | 0.777574i | ||||||||
\(126\) | 1.14401e7 | + | 3.37084e7i | 0.0453888 | + | 0.133738i | ||||
\(127\) | 5.97711e7 | 0.229761 | 0.114881 | − | 0.993379i | \(-0.463351\pi\) | ||||
0.114881 | + | 0.993379i | \(0.463351\pi\) | |||||||
\(128\) | 1.36050e8 | − | 2.35645e8i | 0.506825 | − | 0.877846i | ||||
\(129\) | 5.56144e7 | − | 3.21090e7i | 0.200830 | − | 0.115949i | ||||
\(130\) | 3.69234e7 | + | 6.39531e7i | 0.129279 | + | 0.223918i | ||||
\(131\) | −1.81198e8 | − | 1.04615e8i | −0.615273 | − | 0.355228i | 0.159753 | − | 0.987157i | \(-0.448930\pi\) |
−0.775026 | + | 0.631929i | \(0.782264\pi\) | |||||||
\(132\) | 1.88333e8i | 0.620340i | ||||||||
\(133\) | 2.23925e8 | + | 1.96402e8i | 0.715644 | + | 0.627681i | ||||
\(134\) | 1.15978e8 | 0.359714 | ||||||||
\(135\) | −1.36789e7 | + | 2.36925e7i | −0.0411828 | + | 0.0713307i | ||||
\(136\) | 2.39144e7 | − | 1.38070e7i | 0.0699043 | − | 0.0403592i | ||||
\(137\) | 3.50307e7 | + | 6.06750e7i | 0.0994414 | + | 0.172238i | 0.911454 | − | 0.411403i | \(-0.134961\pi\) |
−0.812012 | + | 0.583640i | \(0.801628\pi\) | |||||||
\(138\) | 1.03434e8 | + | 5.97176e7i | 0.285198 | + | 0.164659i | ||||
\(139\) | 1.28614e7i | 0.0344531i | 0.999852 | + | 0.0172265i | \(0.00548365\pi\) | ||||
−0.999852 | + | 0.0172265i | \(0.994516\pi\) | |||||||
\(140\) | 2.63258e7 | − | 1.32306e8i | 0.0685282 | − | 0.344403i | ||||
\(141\) | 1.50534e8 | 0.380853 | ||||||||
\(142\) | −1.05948e8 | + | 1.83508e8i | −0.260579 | + | 0.451336i | ||||
\(143\) | −6.76198e8 | + | 3.90403e8i | −1.61707 | + | 0.933618i | ||||
\(144\) | 3.53790e7 | + | 6.12781e7i | 0.0822801 | + | 0.142513i | ||||
\(145\) | 2.14794e8 | + | 1.24011e8i | 0.485904 | + | 0.280537i | ||||
\(146\) | − | 1.86580e8i | − | 0.410633i | ||||||
\(147\) | 2.67291e8 | − | 3.51559e7i | 0.572420 | − | 0.0752885i | ||||
\(148\) | −1.93782e8 | −0.403893 | ||||||||
\(149\) | −4.46096e7 | + | 7.72661e7i | −0.0905072 | + | 0.156763i | −0.907725 | − | 0.419566i | \(-0.862182\pi\) |
0.817217 | + | 0.576329i | \(0.195515\pi\) | |||||||
\(150\) | 8.76025e7 | − | 5.05774e7i | 0.173042 | − | 0.0999059i | ||||
\(151\) | −2.79390e8 | − | 4.83918e8i | −0.537407 | − | 0.930816i | −0.999043 | − | 0.0437467i | \(-0.986071\pi\) |
0.461636 | − | 0.887070i | \(-0.347263\pi\) | |||||||
\(152\) | −3.39420e8 | − | 1.95964e8i | −0.635862 | − | 0.367115i | ||||
\(153\) | 1.91153e7i | 0.0348830i | ||||||||
\(154\) | −3.06070e8 | − | 6.09009e7i | −0.544175 | − | 0.108278i | ||||
\(155\) | −2.58535e8 | −0.447912 | ||||||||
\(156\) | −2.00013e8 | + | 3.46433e8i | −0.337722 | + | 0.584952i | ||||
\(157\) | 9.34000e8 | − | 5.39245e8i | 1.53726 | − | 0.887539i | 0.538265 | − | 0.842776i | \(-0.319080\pi\) |
0.998998 | − | 0.0447635i | \(-0.0142534\pi\) | |||||||
\(158\) | 8.38792e7 | + | 1.45283e8i | 0.134594 | + | 0.233124i | ||||
\(159\) | −6.23682e8 | − | 3.60083e8i | −0.975832 | − | 0.563397i | ||||
\(160\) | 2.75013e8i | 0.419636i | ||||||||
\(161\) | 5.96449e8 | − | 6.80035e8i | 0.887708 | − | 1.01211i | ||||
\(162\) | 3.24241e7 | 0.0470769 | ||||||||
\(163\) | 2.72747e8 | − | 4.72411e8i | 0.386375 | − | 0.669222i | −0.605584 | − | 0.795782i | \(-0.707060\pi\) |
0.991959 | + | 0.126560i | \(0.0403936\pi\) | |||||||
\(164\) | 4.49587e8 | − | 2.59569e8i | 0.621495 | − | 0.358821i | ||||
\(165\) | −1.19920e8 | − | 2.07708e8i | −0.161792 | − | 0.280232i | ||||
\(166\) | −3.51462e8 | − | 2.02917e8i | −0.462856 | − | 0.267230i | ||||
\(167\) | 2.98358e7i | 0.0383594i | 0.999816 | + | 0.0191797i | \(0.00610546\pi\) | ||||
−0.999816 | + | 0.0191797i | \(0.993895\pi\) | |||||||
\(168\) | −3.35924e8 | + | 1.14008e8i | −0.421700 | + | 0.143119i | ||||
\(169\) | −8.42735e8 | −1.03310 | ||||||||
\(170\) | −7.92464e6 | + | 1.37259e7i | −0.00948820 | + | 0.0164340i | ||||
\(171\) | 2.34957e8 | − | 1.35653e8i | 0.274792 | − | 0.158651i | ||||
\(172\) | 1.44216e8 | + | 2.49789e8i | 0.164778 | + | 0.285404i | ||||
\(173\) | 1.36675e9 | + | 7.89093e8i | 1.52582 | + | 0.880935i | 0.999531 | + | 0.0306326i | \(0.00975219\pi\) |
0.526294 | + | 0.850303i | \(0.323581\pi\) | |||||||
\(174\) | − | 2.93954e8i | − | 0.320687i | ||||||
\(175\) | −2.46209e8 | − | 7.25455e8i | −0.262513 | − | 0.773497i | ||||
\(176\) | −6.20321e8 | −0.646496 | ||||||||
\(177\) | −6.74058e7 | + | 1.16750e8i | −0.0686759 | + | 0.118950i | ||||
\(178\) | −4.02856e8 | + | 2.32589e8i | −0.401301 | + | 0.231691i | ||||
\(179\) | 7.89835e8 | + | 1.36804e9i | 0.769351 | + | 1.33256i | 0.937915 | + | 0.346864i | \(0.112754\pi\) |
−0.168564 | + | 0.985691i | \(0.553913\pi\) | |||||||
\(180\) | −1.06414e8 | − | 6.14380e7i | −0.101370 | − | 0.0585258i | ||||
\(181\) | − | 6.13370e8i | − | 0.571490i | −0.958306 | − | 0.285745i | \(-0.907759\pi\) | ||
0.958306 | − | 0.285745i | \(-0.0922410\pi\) | |||||||
\(182\) | −4.98330e8 | − | 4.37079e8i | −0.454184 | − | 0.398358i | ||||
\(183\) | 7.80185e7 | 0.0695654 | ||||||||
\(184\) | −5.95120e8 | + | 1.03078e9i | −0.519199 | + | 0.899278i | ||||
\(185\) | 2.13718e8 | − | 1.23390e8i | 0.182454 | − | 0.105340i | ||||
\(186\) | 1.53206e8 | + | 2.65361e8i | 0.128004 | + | 0.221710i | ||||
\(187\) | −1.45128e8 | − | 8.37899e7i | −0.118682 | − | 0.0685212i | ||||
\(188\) | 6.76114e8i | 0.541238i | ||||||||
\(189\) | 4.79221e7 | − | 2.40843e8i | 0.0375568 | − | 0.188750i | ||||
\(190\) | 2.24951e8 | 0.172613 | ||||||||
\(191\) | −3.00465e8 | + | 5.20420e8i | −0.225767 | + | 0.391039i | −0.956549 | − | 0.291571i | \(-0.905822\pi\) |
0.730782 | + | 0.682610i | \(0.239155\pi\) | |||||||
\(192\) | −5.31715e7 | + | 3.06986e7i | −0.0391268 | + | 0.0225898i | ||||
\(193\) | 9.28691e8 | + | 1.60854e9i | 0.669332 | + | 1.15932i | 0.978091 | + | 0.208177i | \(0.0667531\pi\) |
−0.308759 | + | 0.951140i | \(0.599914\pi\) | |||||||
\(194\) | 9.79980e8 | + | 5.65792e8i | 0.691848 | + | 0.399438i | ||||
\(195\) | − | 5.09431e8i | − | 0.352328i | ||||||
\(196\) | 1.57901e8 | + | 1.20052e9i | 0.106994 | + | 0.813479i | ||||
\(197\) | 7.08218e8 | 0.470221 | 0.235111 | − | 0.971969i | \(-0.424455\pi\) | ||||
0.235111 | + | 0.971969i | \(0.424455\pi\) | |||||||
\(198\) | −1.42128e8 | + | 2.46173e8i | −0.0924738 | + | 0.160169i | ||||
\(199\) | 1.52211e9 | − | 8.78793e8i | 0.970588 | − | 0.560369i | 0.0711725 | − | 0.997464i | \(-0.477326\pi\) |
0.899415 | + | 0.437095i | \(0.143993\pi\) | |||||||
\(200\) | 5.04033e8 | + | 8.73010e8i | 0.315020 | + | 0.545632i | ||||
\(201\) | −6.92885e8 | − | 4.00037e8i | −0.424499 | − | 0.245085i | ||||
\(202\) | − | 9.67497e8i | − | 0.581091i | ||||||
\(203\) | −2.18346e9 | − | 4.34457e8i | −1.28576 | − | 0.255837i | ||||
\(204\) | −8.58552e7 | −0.0495731 | ||||||||
\(205\) | −3.30560e8 | + | 5.72546e8i | −0.187169 | + | 0.324187i | ||||
\(206\) | 3.39553e8 | − | 1.96041e8i | 0.188555 | − | 0.108862i | ||||
\(207\) | −4.11961e8 | − | 7.13538e8i | −0.224375 | − | 0.388629i | ||||
\(208\) | −1.14106e9 | − | 6.58794e8i | −0.609617 | − | 0.351962i | ||||
\(209\) | 2.37848e9i | 1.24656i | ||||||||
\(210\) | 1.34257e8 | − | 1.53072e8i | 0.0690337 | − | 0.0787081i | ||||
\(211\) | −3.43205e9 | −1.73151 | −0.865753 | − | 0.500472i | \(-0.833160\pi\) | ||||
−0.865753 | + | 0.500472i | \(0.833160\pi\) | |||||||
\(212\) | 1.61729e9 | − | 2.80124e9i | 0.800656 | − | 1.38678i | ||||
\(213\) | 1.26592e9 | − | 7.30882e8i | 0.615020 | − | 0.355082i | ||||
\(214\) | 3.03146e8 | + | 5.25065e8i | 0.144543 | + | 0.250356i | ||||
\(215\) | −3.18105e8 | − | 1.83658e8i | −0.148873 | − | 0.0859521i | ||||
\(216\) | 3.23125e8i | 0.148442i | ||||||||
\(217\) | 2.19751e9 | − | 7.45802e8i | 0.991042 | − | 0.336345i | ||||
\(218\) | −2.38589e8 | −0.105639 | ||||||||
\(219\) | −6.43561e8 | + | 1.11468e9i | −0.279778 | + | 0.484589i | ||||
\(220\) | 9.32909e8 | − | 5.38615e8i | 0.398243 | − | 0.229926i | ||||
\(221\) | −1.77973e8 | − | 3.08259e8i | −0.0746080 | − | 0.129225i | ||||
\(222\) | −2.53296e8 | − | 1.46240e8i | −0.104284 | − | 0.0602081i | ||||
\(223\) | 1.86934e8i | 0.0755907i | 0.999286 | + | 0.0377953i | \(0.0120335\pi\) | ||||
−0.999286 | + | 0.0377953i | \(0.987967\pi\) | |||||||
\(224\) | −7.93335e8 | − | 2.33757e9i | −0.315112 | − | 0.928478i | ||||
\(225\) | −6.97815e8 | −0.272276 | ||||||||
\(226\) | 2.27208e8 | − | 3.93536e8i | 0.0870943 | − | 0.150852i | ||||
\(227\) | 6.54720e8 | − | 3.78003e8i | 0.246577 | − | 0.142361i | −0.371619 | − | 0.928385i | \(-0.621197\pi\) |
0.618196 | + | 0.786024i | \(0.287864\pi\) | |||||||
\(228\) | 6.09277e8 | + | 1.05530e9i | 0.225463 | + | 0.390513i | ||||
\(229\) | −2.96305e9 | − | 1.71072e9i | −1.07745 | − | 0.622067i | −0.147244 | − | 0.989100i | \(-0.547040\pi\) |
−0.930208 | + | 0.367034i | \(0.880373\pi\) | |||||||
\(230\) | − | 6.83149e8i | − | 0.244120i | ||||||
\(231\) | 1.61848e9 | + | 1.41955e9i | 0.568409 | + | 0.498543i | ||||
\(232\) | 2.92942e9 | 1.01118 | ||||||||
\(233\) | 1.27863e9 | − | 2.21466e9i | 0.433833 | − | 0.751420i | −0.563367 | − | 0.826207i | \(-0.690494\pi\) |
0.997200 | + | 0.0747866i | \(0.0238276\pi\) | |||||||
\(234\) | −5.22881e8 | + | 3.01886e8i | −0.174397 | + | 0.100688i | ||||
\(235\) | −4.30514e8 | − | 7.45672e8i | −0.141161 | − | 0.244498i | ||||
\(236\) | −5.24378e8 | − | 3.02750e8i | −0.169043 | − | 0.0975968i | ||||
\(237\) | − | 1.15728e9i | − | 0.366813i | ||||||
\(238\) | 2.77629e7 | − | 1.39528e8i | 0.00865280 | − | 0.0434865i | ||||
\(239\) | −6.23455e9 | −1.91079 | −0.955396 | − | 0.295328i | \(-0.904571\pi\) | ||||
−0.955396 | + | 0.295328i | \(0.904571\pi\) | |||||||
\(240\) | 2.02362e8 | − | 3.50501e8i | 0.0609935 | − | 0.105644i | ||||
\(241\) | 6.76231e8 | − | 3.90422e8i | 0.200460 | − | 0.115735i | −0.396410 | − | 0.918073i | \(-0.629744\pi\) |
0.596870 | + | 0.802338i | \(0.296411\pi\) | |||||||
\(242\) | −5.19431e8 | − | 8.99681e8i | −0.151449 | − | 0.262317i | ||||
\(243\) | −1.93710e8 | − | 1.11839e8i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 3.50416e8i | 0.0988608i | ||||||||
\(245\) | −9.38575e8 | − | 1.22349e9i | −0.260498 | − | 0.339575i | ||||
\(246\) | 7.83550e8 | 0.213957 | ||||||||
\(247\) | −2.52600e9 | + | 4.37515e9i | −0.678649 | + | 1.17545i | ||||
\(248\) | −2.64448e9 | + | 1.52679e9i | −0.699090 | + | 0.403620i | ||||
\(249\) | 1.39982e9 | + | 2.42456e9i | 0.364145 | + | 0.630718i | ||||
\(250\) | −1.11451e9 | − | 6.43461e8i | −0.285314 | − | 0.164726i | ||||
\(251\) | 3.15325e9i | 0.794445i | 0.917722 | + | 0.397222i | \(0.130026\pi\) | ||||
−0.917722 | + | 0.397222i | \(0.869974\pi\) | |||||||
\(252\) | 1.08173e9 | + | 2.15240e8i | 0.268237 | + | 0.0533728i | ||||
\(253\) | 7.22317e9 | 1.76297 | ||||||||
\(254\) | −2.02596e8 | + | 3.50907e8i | −0.0486740 | + | 0.0843058i | ||||
\(255\) | 9.46878e7 | − | 5.46680e7i | 0.0223941 | − | 0.0129292i | ||||
\(256\) | 7.54242e8 | + | 1.30639e9i | 0.175611 | + | 0.304167i | ||||
\(257\) | 6.57968e9 | + | 3.79878e9i | 1.50825 | + | 0.870786i | 0.999954 | + | 0.00960166i | \(0.00305635\pi\) |
0.508292 | + | 0.861185i | \(0.330277\pi\) | |||||||
\(258\) | 4.35339e8i | 0.0982536i | ||||||||
\(259\) | −1.46062e9 | + | 1.66531e9i | −0.324593 | + | 0.370081i | ||||
\(260\) | 2.28808e9 | 0.500701 | ||||||||
\(261\) | −1.01392e9 | + | 1.75616e9i | −0.218495 | + | 0.378444i | ||||
\(262\) | 1.22835e9 | − | 7.09191e8i | 0.260686 | − | 0.150507i | ||||
\(263\) | −3.51345e9 | − | 6.08547e9i | −0.734363 | − | 1.27195i | −0.955002 | − | 0.296598i | \(-0.904148\pi\) |
0.220640 | − | 0.975355i | \(-0.429186\pi\) | |||||||
\(264\) | −2.45325e9 | − | 1.41639e9i | −0.505041 | − | 0.291586i | ||||
\(265\) | 4.11923e9i | 0.835281i | ||||||||
\(266\) | −1.91205e9 | + | 6.48921e8i | −0.381920 | + | 0.129618i | ||||
\(267\) | 3.20903e9 | 0.631435 | ||||||||
\(268\) | 1.79675e9 | − | 3.11205e9i | 0.348295 | − | 0.603265i | ||||
\(269\) | −7.13899e9 | + | 4.12170e9i | −1.36341 | + | 0.787167i | −0.990077 | − | 0.140529i | \(-0.955120\pi\) |
−0.373337 | + | 0.927696i | \(0.621786\pi\) | |||||||
\(270\) | −9.27302e7 | − | 1.60613e8i | −0.0174488 | − | 0.0302223i | ||||
\(271\) | 5.99220e9 | + | 3.45960e9i | 1.11099 | + | 0.641429i | 0.939085 | − | 0.343685i | \(-0.111675\pi\) |
0.171903 | + | 0.985114i | \(0.445009\pi\) | |||||||
\(272\) | − | 2.82786e8i | − | 0.0516633i | ||||||
\(273\) | 1.46957e9 | + | 4.33009e9i | 0.264569 | + | 0.779554i | ||||
\(274\) | −4.74952e8 | −0.0842650 | ||||||||
\(275\) | 3.05880e9 | − | 5.29801e9i | 0.534836 | − | 0.926364i | ||||
\(276\) | 3.20482e9 | − | 1.85030e9i | 0.552289 | − | 0.318864i | ||||
\(277\) | −2.83448e9 | − | 4.90947e9i | −0.481454 | − | 0.833903i | 0.518319 | − | 0.855187i | \(-0.326558\pi\) |
−0.999773 | + | 0.0212843i | \(0.993224\pi\) | |||||||
\(278\) | −7.55072e7 | − | 4.35941e7i | −0.0126418 | − | 0.00729875i | ||||
\(279\) | − | 2.11378e9i | − | 0.348854i | ||||||
\(280\) | 1.52545e9 | + | 1.33795e9i | 0.248180 | + | 0.217675i | ||||
\(281\) | −2.39953e7 | −0.00384858 | −0.00192429 | − | 0.999998i | \(-0.500613\pi\) | ||||
−0.00192429 | + | 0.999998i | \(0.500613\pi\) | |||||||
\(282\) | −5.10239e8 | + | 8.83760e8i | −0.0806821 | + | 0.139746i | ||||
\(283\) | −7.65100e9 | + | 4.41731e9i | −1.19281 | + | 0.688671i | −0.958943 | − | 0.283597i | \(-0.908472\pi\) |
−0.233869 | + | 0.972268i | \(0.575139\pi\) | |||||||
\(284\) | 3.28272e9 | + | 5.68583e9i | 0.504615 | + | 0.874019i | ||||
\(285\) | −1.34392e9 | − | 7.75911e8i | −0.203701 | − | 0.117607i | ||||
\(286\) | − | 5.29315e9i | − | 0.791133i | ||||||
\(287\) | 1.15807e9 | − | 5.82013e9i | 0.170690 | − | 0.857838i | ||||
\(288\) | −2.24850e9 | −0.326831 | ||||||||
\(289\) | −3.44968e9 | + | 5.97502e9i | −0.494524 | + | 0.856541i | ||||
\(290\) | −1.45611e9 | + | 8.40683e8i | −0.205874 | + | 0.118861i | ||||
\(291\) | −3.90311e9 | − | 6.76039e9i | −0.544301 | − | 0.942757i | ||||
\(292\) | −5.00653e9 | − | 2.89052e9i | −0.688661 | − | 0.397598i | ||||
\(293\) | − | 8.07016e9i | − | 1.09499i | −0.836808 | − | 0.547497i | \(-0.815581\pi\) | ||
0.836808 | − | 0.547497i | \(-0.184419\pi\) | |||||||
\(294\) | −6.99598e8 | + | 1.68839e9i | −0.0936395 | + | 0.225987i | ||||
\(295\) | 7.71100e8 | 0.101818 | ||||||||
\(296\) | 1.45737e9 | − | 2.52424e9i | 0.189847 | − | 0.328824i | ||||
\(297\) | 1.69822e9 | − | 9.80468e8i | 0.218257 | − | 0.126011i | ||||
\(298\) | −3.02412e8 | − | 5.23793e8i | −0.0383472 | − | 0.0664193i | ||||
\(299\) | 1.32868e10 | + | 7.67115e9i | 1.66240 | + | 0.959789i | ||||
\(300\) | − | 3.13420e9i | − | 0.386938i | ||||||
\(301\) | 3.23365e9 | + | 6.43421e8i | 0.393937 | + | 0.0783844i | ||||
\(302\) | 3.78801e9 | 0.455390 | ||||||||
\(303\) | −3.33714e9 | + | 5.78009e9i | −0.395916 | + | 0.685747i | ||||
\(304\) | −3.47589e9 | + | 2.00681e9i | −0.406979 | + | 0.234969i | ||||
\(305\) | −2.23126e8 | − | 3.86466e8i | −0.0257841 | − | 0.0446593i | ||||
\(306\) | −1.12223e8 | − | 6.47919e7i | −0.0127996 | − | 0.00738983i | ||||
\(307\) | − | 1.00925e10i | − | 1.13617i | −0.822968 | − | 0.568087i | \(-0.807684\pi\) | ||
0.822968 | − | 0.568087i | \(-0.192316\pi\) | |||||||
\(308\) | −6.37583e9 | + | 7.26934e9i | −0.708491 | + | 0.807778i | ||||
\(309\) | −2.70478e9 | −0.296686 | ||||||||
\(310\) | 8.76314e8 | − | 1.51782e9i | 0.0948884 | − | 0.164351i | ||||
\(311\) | −6.13405e9 | + | 3.54149e9i | −0.655701 | + | 0.378569i | −0.790637 | − | 0.612285i | \(-0.790250\pi\) |
0.134936 | + | 0.990854i | \(0.456917\pi\) | |||||||
\(312\) | −3.00847e9 | − | 5.21081e9i | −0.317487 | − | 0.549904i | ||||
\(313\) | −6.76423e9 | − | 3.90533e9i | −0.704759 | − | 0.406893i | 0.104358 | − | 0.994540i | \(-0.466721\pi\) |
−0.809118 | + | 0.587647i | \(0.800054\pi\) | |||||||
\(314\) | 7.31116e9i | 0.752086i | ||||||||
\(315\) | −1.33007e9 | + | 4.51407e8i | −0.135093 | + | 0.0458486i | ||||
\(316\) | 5.19786e9 | 0.521287 | ||||||||
\(317\) | 7.52195e9 | − | 1.30284e10i | 0.744892 | − | 1.29019i | −0.205353 | − | 0.978688i | \(-0.565834\pi\) |
0.950245 | − | 0.311504i | \(-0.100833\pi\) | |||||||
\(318\) | 4.22799e9 | − | 2.44103e9i | 0.413452 | − | 0.238707i | ||||
\(319\) | −8.88882e9 | − | 1.53959e10i | −0.858384 | − | 1.48676i | ||||
\(320\) | 3.04132e8 | + | 1.75591e8i | 0.0290043 | + | 0.0167456i | ||||
\(321\) | − | 4.18250e9i | − | 0.393927i | ||||||
\(322\) | 1.97070e9 | + | 5.80667e9i | 0.183314 | + | 0.540136i | ||||
\(323\) | −1.08428e9 | −0.0996164 | ||||||||
\(324\) | 5.02317e8 | − | 8.70039e8i | 0.0455825 | − | 0.0789512i | ||||
\(325\) | 1.12532e10 | − | 6.49703e9i | 1.00865 | − | 0.582346i | ||||
\(326\) | 1.84897e9 | + | 3.20251e9i | 0.163704 | + | 0.283544i | ||||
\(327\) | 1.42539e9 | + | 8.22952e8i | 0.124665 | + | 0.0719753i | ||||
\(328\) | 7.80853e9i | 0.674643i | ||||||||
\(329\) | 5.81036e9 | + | 5.09619e9i | 0.495929 | + | 0.434972i | ||||
\(330\) | 1.62590e9 | 0.137100 | ||||||||
\(331\) | −4.19026e9 | + | 7.25774e9i | −0.349083 | + | 0.604629i | −0.986087 | − | 0.166231i | \(-0.946840\pi\) |
0.637004 | + | 0.770861i | \(0.280174\pi\) | |||||||
\(332\) | −1.08898e10 | + | 6.28722e9i | −0.896327 | + | 0.517495i | ||||
\(333\) | 1.00884e9 | + | 1.74736e9i | 0.0820435 | + | 0.142103i | ||||
\(334\) | −1.75161e8 | − | 1.01129e8i | −0.0140751 | − | 0.00812628i | ||||
\(335\) | 4.57629e9i | 0.363358i | ||||||||
\(336\) | −7.08947e8 | + | 3.56296e9i | −0.0556233 | + | 0.279547i | ||||
\(337\) | 4.79019e9 | 0.371392 | 0.185696 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185696 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(338\) | 2.85648e9 | − | 4.94757e9i | 0.218859 | − | 0.379075i | ||||
\(339\) | −2.71480e9 | + | 1.56739e9i | −0.205560 | + | 0.118680i | ||||
\(340\) | 2.45539e8 | + | 4.25285e8i | 0.0183740 | + | 0.0318247i | ||||
\(341\) | 1.60484e10 | + | 9.26556e9i | 1.18690 | + | 0.685258i | ||||
\(342\) | 1.83920e9i | 0.134439i | ||||||||
\(343\) | 1.15072e10 | + | 7.69194e9i | 0.831366 | + | 0.555725i | ||||
\(344\) | −4.33840e9 | −0.309810 | ||||||||
\(345\) | −2.35635e9 | + | 4.08132e9i | −0.166327 | + | 0.288087i | ||||
\(346\) | −9.26530e9 | + | 5.34932e9i | −0.646480 | + | 0.373245i | ||||
\(347\) | 2.20690e9 | + | 3.82247e9i | 0.152218 | + | 0.263649i | 0.932042 | − | 0.362349i | \(-0.118025\pi\) |
−0.779825 | + | 0.625998i | \(0.784692\pi\) | |||||||
\(348\) | −7.88769e9 | − | 4.55396e9i | −0.537815 | − | 0.310507i | ||||
\(349\) | 1.02728e10i | 0.692448i | 0.938152 | + | 0.346224i | \(0.112536\pi\) | ||||
−0.938152 | + | 0.346224i | \(0.887464\pi\) | |||||||
\(350\) | 5.09357e9 | + | 1.01350e9i | 0.339430 | + | 0.0675387i | ||||
\(351\) | 4.16511e9 | 0.274409 | ||||||||
\(352\) | 9.85610e9 | − | 1.70713e10i | 0.641999 | − | 1.11197i | ||||
\(353\) | −1.27695e10 | + | 7.37247e9i | −0.822385 | + | 0.474804i | −0.851238 | − | 0.524780i | \(-0.824148\pi\) |
0.0288534 | + | 0.999584i | \(0.490814\pi\) | |||||||
\(354\) | −4.56949e8 | − | 7.91459e8i | −0.0290974 | − | 0.0503982i | ||||
\(355\) | −7.24088e9 | − | 4.18052e9i | −0.455909 | − | 0.263219i | ||||
\(356\) | 1.44132e10i | 0.897346i | ||||||||
\(357\) | −6.47130e8 | + | 7.37819e8i | −0.0398400 | + | 0.0454231i | ||||
\(358\) | −1.07087e10 | −0.651936 | ||||||||
\(359\) | 3.32597e9 | − | 5.76074e9i | 0.200235 | − | 0.346817i | −0.748369 | − | 0.663283i | \(-0.769163\pi\) |
0.948604 | + | 0.316465i | \(0.102496\pi\) | |||||||
\(360\) | 1.60061e9 | − | 9.24111e8i | 0.0952960 | − | 0.0550192i | ||||
\(361\) | −7.97128e8 | − | 1.38067e9i | −0.0469352 | − | 0.0812942i | ||||
\(362\) | 3.60100e9 | + | 2.07904e9i | 0.209696 | + | 0.121068i | ||||
\(363\) | 7.16658e9i | 0.412748i | ||||||||
\(364\) | −1.94484e10 | + | 6.60049e9i | −1.10784 | + | 0.375985i | ||||
\(365\) | 7.36212e9 | 0.414793 | ||||||||
\(366\) | −2.64446e8 | + | 4.58035e8i | −0.0147371 | + | 0.0255255i | ||||
\(367\) | 1.59310e10 | − | 9.19776e9i | 0.878169 | − | 0.507011i | 0.00811490 | − | 0.999967i | \(-0.497417\pi\) |
0.870054 | + | 0.492956i | \(0.164084\pi\) | |||||||
\(368\) | 6.09444e9 | + | 1.05559e10i | 0.332309 | + | 0.575576i | ||||
\(369\) | −4.68114e9 | − | 2.70266e9i | −0.252491 | − | 0.145776i | ||||
\(370\) | 1.67294e9i | 0.0892634i | ||||||||
\(371\) | −1.18829e10 | − | 3.50129e10i | −0.627227 | − | 1.84813i | ||||
\(372\) | 9.49394e9 | 0.495764 | ||||||||
\(373\) | −1.32605e10 | + | 2.29678e10i | −0.685052 | + | 1.18655i | 0.288368 | + | 0.957520i | \(0.406887\pi\) |
−0.973420 | + | 0.229026i | \(0.926446\pi\) | |||||||
\(374\) | 9.83836e8 | − | 5.68018e8i | 0.0502847 | − | 0.0290319i | ||||
\(375\) | 4.43891e9 | + | 7.68842e9i | 0.224466 | + | 0.388787i | ||||
\(376\) | −8.80719e9 | − | 5.08483e9i | −0.440642 | − | 0.254405i | ||||
\(377\) | − | 3.77605e10i | − | 1.86927i | ||||||
\(378\) | 1.25152e9 | + | 1.09769e9i | 0.0613014 | + | 0.0537666i | ||||
\(379\) | 1.90327e10 | 0.922454 | 0.461227 | − | 0.887282i | \(-0.347409\pi\) | ||||
0.461227 | + | 0.887282i | \(0.347409\pi\) | |||||||
\(380\) | 3.48496e9 | − | 6.03613e9i | 0.167134 | − | 0.289484i | ||||
\(381\) | 2.42073e9 | − | 1.39761e9i | 0.114881 | − | 0.0663263i | ||||
\(382\) | −2.03687e9 | − | 3.52797e9i | −0.0956556 | − | 0.165680i | ||||
\(383\) | −1.30082e10 | − | 7.51027e9i | −0.604535 | − | 0.349028i | 0.166289 | − | 0.986077i | \(-0.446822\pi\) |
−0.770823 | + | 0.637049i | \(0.780155\pi\) | |||||||
\(384\) | − | 1.27248e10i | − | 0.585231i | ||||||
\(385\) | 2.40304e9 | − | 1.20770e10i | 0.109375 | − | 0.549688i | ||||
\(386\) | −1.25913e10 | −0.567182 | ||||||||
\(387\) | 1.50159e9 | − | 2.60083e9i | 0.0669433 | − | 0.115949i | ||||
\(388\) | 3.03639e10 | − | 1.75306e10i | 1.33977 | − | 0.773518i | ||||
\(389\) | −1.19641e10 | − | 2.07225e10i | −0.522496 | − | 0.904989i | −0.999657 | − | 0.0261734i | \(-0.991668\pi\) |
0.477162 | − | 0.878815i | \(-0.341666\pi\) | |||||||
\(390\) | 2.99079e9 | + | 1.72674e9i | 0.129279 | + | 0.0746393i | ||||
\(391\) | 3.29283e9i | 0.140884i | ||||||||
\(392\) | −1.68258e10 | − | 6.97190e9i | −0.712575 | − | 0.295262i | ||||
\(393\) | −9.78469e9 | −0.410182 | ||||||||
\(394\) | −2.40053e9 | + | 4.15784e9i | −0.0996145 | + | 0.172537i | ||||
\(395\) | −5.73261e9 | + | 3.30973e9i | −0.235486 | + | 0.135958i | ||||
\(396\) | 4.40372e9 | + | 7.62747e9i | 0.179077 | + | 0.310170i | ||||
\(397\) | 1.10835e10 | + | 6.39904e9i | 0.446183 | + | 0.257604i | 0.706217 | − | 0.707996i | \(-0.250400\pi\) |
−0.260034 | + | 0.965600i | \(0.583734\pi\) | |||||||
\(398\) | 1.19148e10i | 0.474848i | ||||||||
\(399\) | 1.36614e10 | + | 2.71830e9i | 0.539018 | + | 0.107252i | ||||
\(400\) | 1.03233e10 | 0.403253 | ||||||||
\(401\) | −8.49974e9 | + | 1.47220e10i | −0.328721 | + | 0.569362i | −0.982258 | − | 0.187532i | \(-0.939951\pi\) |
0.653537 | + | 0.756895i | \(0.273284\pi\) | |||||||
\(402\) | 4.69712e9 | − | 2.71188e9i | 0.179857 | − | 0.103840i | ||||
\(403\) | 1.96804e10 | + | 3.40875e10i | 0.746130 | + | 1.29234i | ||||
\(404\) | −2.59610e10 | − | 1.49886e10i | −0.974530 | − | 0.562645i | ||||
\(405\) | 1.27940e9i | 0.0475538i | ||||||||
\(406\) | 9.95154e9 | − | 1.13461e10i | 0.366257 | − | 0.417584i | ||||
\(407\) | −1.76886e10 | −0.644637 | ||||||||
\(408\) | 6.45689e8 | − | 1.11837e9i | 0.0233014 | − | 0.0403592i | ||||
\(409\) | −4.31951e10 | + | 2.49387e10i | −1.54362 | + | 0.891212i | −0.545019 | + | 0.838424i | \(0.683478\pi\) |
−0.998606 | + | 0.0527885i | \(0.983189\pi\) | |||||||
\(410\) | −2.24089e9 | − | 3.88133e9i | −0.0793021 | − | 0.137355i | ||||
\(411\) | 2.83749e9 | + | 1.63823e9i | 0.0994414 | + | 0.0574125i | ||||
\(412\) | − | 1.21484e10i | − | 0.421627i | ||||||
\(413\) | −6.55424e9 | + | 2.22441e9i | −0.225280 | + | 0.0764566i | ||||
\(414\) | 5.58543e9 | 0.190132 | ||||||||
\(415\) | 8.00674e9 | − | 1.38681e10i | 0.269937 | − | 0.467545i | ||||
\(416\) | 3.62601e10 | − | 2.09348e10i | 1.21075 | − | 0.699028i | ||||
\(417\) | 3.00733e8 | + | 5.20885e8i | 0.00994575 | + | 0.0172265i | ||||
\(418\) | −1.39637e10 | − | 8.06195e9i | −0.457399 | − | 0.264080i | ||||
\(419\) | 3.21565e10i | 1.04331i | 0.853157 | + | 0.521655i | \(0.174685\pi\) | ||||
−0.853157 | + | 0.521655i | \(0.825315\pi\) | |||||||
\(420\) | −2.02747e9 | − | 5.97396e9i | −0.0651565 | − | 0.191984i | ||||
\(421\) | −5.71409e10 | −1.81894 | −0.909471 | − | 0.415767i | \(-0.863513\pi\) | ||||
−0.909471 | + | 0.415767i | \(0.863513\pi\) | |||||||
\(422\) | 1.16331e10 | − | 2.01491e10i | 0.366813 | − | 0.635338i | ||||
\(423\) | 6.09661e9 | − | 3.51988e9i | 0.190426 | − | 0.109943i | ||||
\(424\) | 2.43263e10 | + | 4.21344e10i | 0.752684 | + | 1.30369i | ||||
\(425\) | 2.41520e9 | + | 1.39442e9i | 0.0740283 | + | 0.0427402i | ||||
\(426\) | 9.90941e9i | 0.300891i | ||||||||
\(427\) | 3.01139e9 | + | 2.64125e9i | 0.0905848 | + | 0.0794507i | ||||
\(428\) | 1.87855e10 | 0.559819 | ||||||||
\(429\) | −1.82574e10 | + | 3.16227e10i | −0.539025 | + | 0.933618i | ||||
\(430\) | 2.15646e9 | − | 1.24503e9i | 0.0630765 | − | 0.0364172i | ||||
\(431\) | 1.48286e10 | + | 2.56839e10i | 0.429726 | + | 0.744307i | 0.996849 | − | 0.0793263i | \(-0.0252769\pi\) |
−0.567123 | + | 0.823633i | \(0.691944\pi\) | |||||||
\(432\) | 2.86570e9 | + | 1.65451e9i | 0.0822801 | + | 0.0475045i | ||||
\(433\) | − | 3.29153e10i | − | 0.936368i | −0.883631 | − | 0.468184i | \(-0.844908\pi\) | ||
0.883631 | − | 0.468184i | \(-0.155092\pi\) | |||||||
\(434\) | −3.07005e9 | + | 1.54292e10i | −0.0865338 | + | 0.434894i | ||||
\(435\) | 1.15989e10 | 0.323936 | ||||||||
\(436\) | −3.69625e9 | + | 6.40208e9i | −0.102286 | + | 0.177164i | ||||
\(437\) | 4.04741e10 | − | 2.33678e10i | 1.10982 | − | 0.640754i | ||||
\(438\) | −4.36275e9 | − | 7.55650e9i | −0.118540 | − | 0.205317i | ||||
\(439\) | 5.76158e10 | + | 3.32645e10i | 1.55126 | + | 0.895619i | 0.998040 | + | 0.0625821i | \(0.0199335\pi\) |
0.553218 | + | 0.833037i | \(0.313400\pi\) | |||||||
\(440\) | 1.62030e10i | 0.432300i | ||||||||
\(441\) | 1.00032e10 | − | 7.67379e9i | 0.264476 | − | 0.202888i | ||||
\(442\) | 2.41299e9 | 0.0632216 | ||||||||
\(443\) | −3.44935e10 | + | 5.97444e10i | −0.895616 | + | 1.55125i | −0.0625754 | + | 0.998040i | \(0.519931\pi\) |
−0.833041 | + | 0.553212i | \(0.813402\pi\) | |||||||
\(444\) | −7.84816e9 | + | 4.53114e9i | −0.201946 | + | 0.116594i | ||||
\(445\) | −9.17756e9 | − | 1.58960e10i | −0.234038 | − | 0.405366i | ||||
\(446\) | −1.09746e9 | − | 6.33619e8i | −0.0277363 | − | 0.0160136i | ||||
\(447\) | 4.17237e9i | 0.104509i | ||||||||
\(448\) | −3.09161e9 | − | 6.15158e8i | −0.0767489 | − | 0.0152713i | ||||
\(449\) | −4.11572e10 | −1.01265 | −0.506326 | − | 0.862342i | \(-0.668997\pi\) | ||||
−0.506326 | + | 0.862342i | \(0.668997\pi\) | |||||||
\(450\) | 2.36527e9 | − | 4.09677e9i | 0.0576807 | − | 0.0999059i | ||||
\(451\) | 4.10386e10 | − | 2.36937e10i | 0.991943 | − | 0.572699i | ||||
\(452\) | −7.03986e9 | − | 1.21934e10i | −0.168659 | − | 0.292126i | ||||
\(453\) | −2.26306e10 | − | 1.30658e10i | −0.537407 | − | 0.310272i | ||||
\(454\) | 5.12501e9i | 0.120635i | ||||||||
\(455\) | 1.72463e10 | − | 1.96632e10i | 0.402394 | − | 0.458785i | ||||
\(456\) | −1.83287e10 | −0.423908 | ||||||||
\(457\) | −1.63130e10 | + | 2.82550e10i | −0.373998 | + | 0.647784i | −0.990177 | − | 0.139823i | \(-0.955347\pi\) |
0.616178 | + | 0.787607i | \(0.288680\pi\) | |||||||
\(458\) | 2.00868e10 | − | 1.15971e10i | 0.456507 | − | 0.263565i | ||||
\(459\) | 4.46966e8 | + | 7.74168e8i | 0.0100699 | + | 0.0174415i | ||||
\(460\) | −1.83310e10 | − | 1.05834e10i | −0.409407 | − | 0.236371i | ||||
\(461\) | 5.26181e9i | 0.116502i | 0.998302 | + | 0.0582508i | \(0.0185523\pi\) | ||||
−0.998302 | + | 0.0582508i | \(0.981448\pi\) | |||||||
\(462\) | −1.38199e10 | + | 4.69026e9i | −0.303345 | + | 0.102951i | ||||
\(463\) | −5.12482e10 | −1.11520 | −0.557602 | − | 0.830108i | \(-0.688278\pi\) | ||||
−0.557602 | + | 0.830108i | \(0.688278\pi\) | |||||||
\(464\) | 1.49996e10 | − | 2.59801e10i | 0.323600 | − | 0.560491i | ||||
\(465\) | −1.04707e10 | + | 6.04524e9i | −0.223956 | + | 0.129301i | ||||
\(466\) | 8.66795e9 | + | 1.50133e10i | 0.183811 | + | 0.318371i | ||||
\(467\) | 4.94910e10 | + | 2.85736e10i | 1.04054 | + | 0.600756i | 0.919986 | − | 0.391951i | \(-0.128200\pi\) |
0.120554 | + | 0.992707i | \(0.461533\pi\) | |||||||
\(468\) | 1.87074e10i | 0.389968i | ||||||||
\(469\) | −1.32013e10 | − | 3.88978e10i | −0.272852 | − | 0.803959i | ||||
\(470\) | 5.83697e9 | 0.119618 | ||||||||
\(471\) | 2.52180e10 | − | 4.36788e10i | 0.512421 | − | 0.887539i | ||||
\(472\) | 7.88735e9 | − | 4.55376e9i | 0.158914 | − | 0.0917492i | ||||
\(473\) | 1.31641e10 | + | 2.28010e10i | 0.262995 | + | 0.455521i | ||||
\(474\) | 6.79422e9 | + | 3.92264e9i | 0.134594 | + | 0.0777080i | ||||
\(475\) | − | 3.95823e10i | − | 0.777547i | ||||||
\(476\) | −3.31387e9 | − | 2.90655e9i | −0.0645518 | − | 0.0566174i | ||||
\(477\) | −3.36789e10 | −0.650555 | ||||||||
\(478\) | 2.11322e10 | − | 3.66021e10i | 0.404794 | − | 0.701123i | ||||
\(479\) | −1.22340e9 | + | 7.06331e8i | −0.0232395 | + | 0.0134173i | −0.511575 | − | 0.859239i | \(-0.670938\pi\) |
0.488335 | + | 0.872656i | \(0.337604\pi\) | |||||||
\(480\) | 6.43053e9 | + | 1.11380e10i | 0.121138 | + | 0.209818i | ||||
\(481\) | −3.25376e10 | − | 1.87856e10i | −0.607863 | − | 0.350950i | ||||
\(482\) | 5.29340e9i | 0.0980723i | ||||||||
\(483\) | 8.25515e9 | − | 4.14880e10i | 0.151683 | − | 0.762314i | ||||
\(484\) | −3.21883e10 | −0.586566 | ||||||||
\(485\) | −2.23251e10 | + | 3.86683e10i | −0.403485 | + | 0.698856i | ||||
\(486\) | 1.31318e9 | − | 7.58162e8i | 0.0235384 | − | 0.0135899i | ||||
\(487\) | −2.05546e10 | − | 3.56016e10i | −0.365420 | − | 0.632926i | 0.623423 | − | 0.781885i | \(-0.285741\pi\) |
−0.988844 | + | 0.148958i | \(0.952408\pi\) | |||||||
\(488\) | −4.56458e9 | − | 2.63536e9i | −0.0804862 | − | 0.0464688i | ||||
\(489\) | − | 2.55102e10i | − | 0.446148i | ||||||
\(490\) | 1.03643e10 | − | 1.36317e9i | 0.179785 | − | 0.0236465i | ||||
\(491\) | 7.29089e9 | 0.125445 | 0.0627226 | − | 0.998031i | \(-0.480022\pi\) | ||||
0.0627226 | + | 0.998031i | \(0.480022\pi\) | |||||||
\(492\) | 1.21388e10 | − | 2.10251e10i | 0.207165 | − | 0.358821i | ||||
\(493\) | 7.01853e9 | − | 4.05215e9i | 0.118811 | − | 0.0685958i | ||||
\(494\) | −1.71239e10 | − | 2.96595e10i | −0.287538 | − | 0.498030i | ||||
\(495\) | −9.71354e9 | − | 5.60811e9i | −0.161792 | − | 0.0934106i | ||||
\(496\) | 3.12707e10i | 0.516667i | ||||||||
\(497\) | 7.36061e10 | + | 1.46459e10i | 1.20639 | + | 0.240044i | ||||
\(498\) | −1.89790e10 | −0.308571 | ||||||||
\(499\) | 1.66296e10 | − | 2.88034e10i | 0.268214 | − | 0.464560i | −0.700187 | − | 0.713960i | \(-0.746900\pi\) |
0.968401 | + | 0.249400i | \(0.0802334\pi\) | |||||||
\(500\) | −3.45321e10 | + | 1.99371e10i | −0.552514 | + | 0.318994i | ||||
\(501\) | 6.97641e8 | + | 1.20835e9i | 0.0110734 | + | 0.0191797i | ||||
\(502\) | −1.85123e10 | − | 1.06881e10i | −0.291504 | − | 0.168300i | ||||
\(503\) | − | 2.23813e10i | − | 0.349633i | −0.984601 | − | 0.174817i | \(-0.944067\pi\) | ||
0.984601 | − | 0.174817i | \(-0.0559332\pi\) | |||||||
\(504\) | −1.09391e10 | + | 1.24721e10i | −0.169535 | + | 0.193294i | ||||
\(505\) | 3.81757e10 | 0.586978 | ||||||||
\(506\) | −2.44832e10 | + | 4.24061e10i | −0.373479 | + | 0.646884i | ||||
\(507\) | −3.41308e10 | + | 1.97054e10i | −0.516552 | + | 0.298231i | ||||
\(508\) | 6.27729e9 | + | 1.08726e10i | 0.0942578 | + | 0.163259i | ||||
\(509\) | −5.60138e10 | − | 3.23396e10i | −0.834495 | − | 0.481796i | 0.0208945 | − | 0.999782i | \(-0.493349\pi\) |
−0.855389 | + | 0.517986i | \(0.826682\pi\) | |||||||
\(510\) | 7.41197e8i | 0.0109560i | ||||||||
\(511\) | −6.25770e10 | + | 2.12377e10i | −0.917764 | + | 0.311475i | ||||
\(512\) | 5.94313e10 | 0.864839 | ||||||||
\(513\) | 6.34385e9 | − | 1.09879e10i | 0.0915974 | − | 0.158651i | ||||
\(514\) | −4.46041e10 | + | 2.57522e10i | −0.639032 | + | 0.368945i | ||||
\(515\) | 7.73543e9 | + | 1.33982e10i | 0.109965 | + | 0.190466i | ||||
\(516\) | 1.16815e10 | + | 6.74431e9i | 0.164778 | + | 0.0951346i | ||||
\(517\) | 6.17162e10i | 0.863848i | ||||||||
\(518\) | −4.82597e9 | − | 1.42197e10i | −0.0670294 | − | 0.197503i | ||||
\(519\) | 7.38045e10 | 1.01722 | ||||||||
\(520\) | −1.72079e10 | + | 2.98050e10i | −0.235350 | + | 0.407639i | ||||
\(521\) | 5.03381e10 | − | 2.90627e10i | 0.683197 | − | 0.394444i | −0.117861 | − | 0.993030i | \(-0.537604\pi\) |
0.801059 | + | 0.598586i | \(0.204270\pi\) | |||||||
\(522\) | −6.87342e9 | − | 1.19051e10i | −0.0925744 | − | 0.160344i | ||||
\(523\) | 9.86806e10 | + | 5.69733e10i | 1.31894 | + | 0.761491i | 0.983558 | − | 0.180591i | \(-0.0578012\pi\) |
0.335382 | + | 0.942082i | \(0.391134\pi\) | |||||||
\(524\) | − | 4.39474e10i | − | 0.582919i | ||||||
\(525\) | −2.69346e10 | − | 2.36239e10i | −0.354546 | − | 0.310967i | ||||
\(526\) | 4.76358e10 | 0.622287 | ||||||||
\(527\) | −4.22389e9 | + | 7.31600e9i | −0.0547609 | + | 0.0948486i | ||||
\(528\) | −2.51230e10 | + | 1.45048e10i | −0.323248 | + | 0.186627i | ||||
\(529\) | −3.18096e10 | − | 5.50959e10i | −0.406196 | − | 0.703552i | ||||
\(530\) | −2.41834e10 | − | 1.39623e10i | −0.306488 | − | 0.176951i | ||||
\(531\) | 6.30451e9i | 0.0793001i | ||||||||
\(532\) | −1.22091e10 | + | 6.13594e10i | −0.152418 | + | 0.766010i | ||||
\(533\) | 1.00653e11 | 1.24714 | ||||||||
\(534\) | −1.08771e10 | + | 1.88397e10i | −0.133767 | + | 0.231691i | ||||
\(535\) | −2.07181e10 | + | 1.19616e10i | −0.252892 | + | 0.146007i | ||||
\(536\) | 2.70255e10 | + | 4.68095e10i | 0.327427 | + | 0.567120i | ||||
\(537\) | 6.39767e10 | + | 3.69370e10i | 0.769351 | + | 0.444185i | ||||
\(538\) | − | 5.58826e10i | − | 0.667033i | ||||||
\(539\) | 1.44133e10 | + | 1.09585e11i | 0.170769 | + | 1.29836i | ||||
\(540\) | −5.74634e9 | −0.0675798 | ||||||||
\(541\) | −6.99025e9 | + | 1.21075e10i | −0.0816025 | + | 0.141340i | −0.903938 | − | 0.427663i | \(-0.859337\pi\) |
0.822336 | + | 0.569002i | \(0.192670\pi\) | |||||||
\(542\) | −4.06216e10 | + | 2.34529e10i | −0.470717 | + | 0.271768i | ||||
\(543\) | −1.43422e10 | − | 2.48415e10i | −0.164975 | − | 0.285745i | ||||
\(544\) | 7.78228e9 | + | 4.49310e9i | 0.0888610 | + | 0.0513039i | ||||
\(545\) | − | 9.41430e9i | − | 0.106709i | ||||||
\(546\) | −3.04025e10 | − | 6.04938e9i | −0.342088 | − | 0.0680676i | ||||
\(547\) | 6.43329e10 | 0.718594 | 0.359297 | − | 0.933223i | \(-0.383017\pi\) | ||||
0.359297 | + | 0.933223i | \(0.383017\pi\) | |||||||
\(548\) | −7.35800e9 | + | 1.27444e10i | −0.0815902 | + | 0.141318i | ||||
\(549\) | 3.15975e9 | − | 1.82428e9i | 0.0347827 | − | 0.0200818i | ||||
\(550\) | 2.07359e10 | + | 3.59156e10i | 0.226606 | + | 0.392493i | ||||
\(551\) | −9.96149e10 | − | 5.75127e10i | −1.08073 | − | 0.623961i | ||||
\(552\) | 5.56620e10i | 0.599519i | ||||||||
\(553\) | 3.91787e10 | − | 4.46692e10i | 0.418938 | − | 0.477648i | ||||
\(554\) | 3.84303e10 | 0.407976 | ||||||||
\(555\) | 5.77038e9 | − | 9.99459e9i | 0.0608181 | − | 0.105340i | ||||
\(556\) | −2.33953e9 | + | 1.35073e9i | −0.0244810 | + | 0.0141341i | ||||
\(557\) | −2.74849e10 | − | 4.76053e10i | −0.285544 | − | 0.494577i | 0.687197 | − | 0.726471i | \(-0.258841\pi\) |
−0.972741 | + | 0.231894i | \(0.925508\pi\) | |||||||
\(558\) | 1.24097e10 | + | 7.16474e9i | 0.128004 | + | 0.0739033i | ||||
\(559\) | 5.59224e10i | 0.572715i | ||||||||
\(560\) | 1.96767e10 | − | 6.67800e9i | 0.200079 | − | 0.0679038i | ||||
\(561\) | −7.83693e9 | −0.0791215 | ||||||||
\(562\) | 8.13328e7 | − | 1.40873e8i | 0.000815305 | − | 0.00141215i | ||||
\(563\) | −7.43985e10 | + | 4.29540e10i | −0.740509 | + | 0.427533i | −0.822254 | − | 0.569120i | \(-0.807284\pi\) |
0.0817454 | + | 0.996653i | \(0.473951\pi\) | |||||||
\(564\) | 1.58094e10 | + | 2.73826e10i | 0.156242 | + | 0.270619i | ||||
\(565\) | 1.55282e10 | + | 8.96522e9i | 0.152380 | + | 0.0879766i | ||||
\(566\) | − | 5.98905e10i | − | 0.583569i | ||||||
\(567\) | −3.69071e9 | − | 1.08747e10i | −0.0357090 | − | 0.105217i | ||||
\(568\) | −9.87530e10 | −0.948761 | ||||||||
\(569\) | 1.88137e10 | − | 3.25863e10i | 0.179484 | − | 0.310875i | −0.762220 | − | 0.647318i | \(-0.775891\pi\) |
0.941704 | + | 0.336443i | \(0.109224\pi\) | |||||||
\(570\) | 9.11051e9 | − | 5.25995e9i | 0.0863064 | − | 0.0498290i | ||||
\(571\) | −1.88677e10 | − | 3.26798e10i | −0.177490 | − | 0.307422i | 0.763530 | − | 0.645772i | \(-0.223464\pi\) |
−0.941020 | + | 0.338350i | \(0.890131\pi\) | |||||||
\(572\) | −1.42032e11 | − | 8.20020e10i | −1.32679 | − | 0.766020i | ||||
\(573\) | 2.81027e10i | 0.260693i | ||||||||
\(574\) | 3.02438e10 | + | 2.65264e10i | 0.278605 | + | 0.244360i | ||||
\(575\) | −1.20207e11 | −1.09966 | ||||||||
\(576\) | −1.43563e9 | + | 2.48658e9i | −0.0130423 | + | 0.0225898i | ||||
\(577\) | −8.38562e10 | + | 4.84144e10i | −0.756540 | + | 0.436788i | −0.828052 | − | 0.560651i | \(-0.810551\pi\) |
0.0715123 | + | 0.997440i | \(0.477217\pi\) | |||||||
\(578\) | −2.33856e10 | − | 4.05051e10i | −0.209526 | − | 0.362910i | ||||
\(579\) | 7.52239e10 | + | 4.34306e10i | 0.669332 | + | 0.386439i | ||||
\(580\) | 5.20958e10i | 0.460352i | ||||||||
\(581\) | −2.80505e10 | + | 1.40974e11i | −0.246171 | + | 1.23718i | ||||
\(582\) | 5.29189e10 | 0.461232 | ||||||||
\(583\) | 1.47628e11 | − | 2.55699e11i | 1.27789 | − | 2.21338i | ||||
\(584\) | 7.53049e10 | − | 4.34773e10i | 0.647399 | − | 0.373776i | ||||
\(585\) | −1.19119e10 | − | 2.06320e10i | −0.101708 | − | 0.176164i | ||||
\(586\) | 4.73787e10 | + | 2.73541e10i | 0.401784 | + | 0.231970i | ||||
\(587\) | − | 1.01539e11i | − | 0.855223i | −0.903963 | − | 0.427612i | \(-0.859355\pi\) | ||
0.903963 | − | 0.427612i | \(-0.140645\pi\) | |||||||
\(588\) | 3.44664e10 | + | 4.49291e10i | 0.288328 | + | 0.375853i | ||||
\(589\) | 1.19901e11 | 0.996231 | ||||||||
\(590\) | −2.61367e9 | + | 4.52701e9i | −0.0215696 | + | 0.0373597i | ||||
\(591\) | 2.86828e10 | − | 1.65600e10i | 0.235111 | − | 0.135741i | ||||
\(592\) | −1.49245e10 | − | 2.58499e10i | −0.121510 | − | 0.210461i | ||||
\(593\) | −1.82032e10 | − | 1.05096e10i | −0.147207 | − | 0.0849899i | 0.424587 | − | 0.905387i | \(-0.360419\pi\) |
−0.571794 | + | 0.820397i | \(0.693752\pi\) | |||||||
\(594\) | 1.32933e10i | 0.106780i | ||||||||
\(595\) | 5.50554e9 | + | 1.09547e9i | 0.0439271 | + | 0.00874046i | ||||
\(596\) | −1.87400e10 | −0.148520 | ||||||||
\(597\) | 4.10971e10 | − | 7.11822e10i | 0.323529 | − | 0.560369i | ||||
\(598\) | −9.00724e10 | + | 5.20033e10i | −0.704347 | + | 0.406655i | ||||
\(599\) | −1.08341e11 | − | 1.87653e11i | −0.841563 | − | 1.45763i | −0.888573 | − | 0.458735i | \(-0.848303\pi\) |
0.0470100 | − | 0.998894i | \(-0.485031\pi\) | |||||||
\(600\) | 4.08267e10 | + | 2.35713e10i | 0.315020 | + | 0.181877i | ||||
\(601\) | 3.99391e10i | 0.306126i | 0.988216 | + | 0.153063i | \(0.0489138\pi\) | ||||
−0.988216 | + | 0.153063i | \(0.951086\pi\) | |||||||
\(602\) | −1.47380e10 | + | 1.68034e10i | −0.112215 | + | 0.127941i | ||||
\(603\) | −3.74158e10 | −0.282999 | ||||||||
\(604\) | 5.86843e10 | − | 1.01644e11i | 0.440934 | − | 0.763721i | ||||
\(605\) | 3.54998e10 | − | 2.04958e10i | 0.264975 | − | 0.152983i | ||||
\(606\) | −2.26227e10 | − | 3.91836e10i | −0.167747 | − | 0.290546i | ||||
\(607\) | −4.68557e10 | − | 2.70521e10i | −0.345150 | − | 0.199272i | 0.317397 | − | 0.948293i | \(-0.397191\pi\) |
−0.662547 | + | 0.749020i | \(0.730524\pi\) | |||||||
\(608\) | − | 1.27542e11i | − | 0.933340i | ||||||
\(609\) | −9.85888e10 | + | 3.34596e10i | −0.716735 | + | 0.243249i | ||||
\(610\) | 3.02518e9 | 0.0218490 | ||||||||
\(611\) | −6.55439e10 | + | 1.13525e11i | −0.470292 | + | 0.814570i | ||||
\(612\) | −3.47713e9 | + | 2.00752e9i | −0.0247865 | + | 0.0143105i | ||||
\(613\) | −4.75233e10 | − | 8.23128e10i | −0.336562 | − | 0.582942i | 0.647222 | − | 0.762302i | \(-0.275931\pi\) |
−0.983784 | + | 0.179359i | \(0.942597\pi\) | |||||||
\(614\) | 5.92515e10 | + | 3.42089e10i | 0.416894 | + | 0.240694i | ||||
\(615\) | 3.09175e10i | 0.216124i | ||||||||
\(616\) | −4.67412e10 | − | 1.37723e11i | −0.324621 | − | 0.956498i | ||||
\(617\) | 9.30288e10 | 0.641914 | 0.320957 | − | 0.947094i | \(-0.395996\pi\) | ||||
0.320957 | + | 0.947094i | \(0.395996\pi\) | |||||||
\(618\) | 9.16793e9 | − | 1.58793e10i | 0.0628518 | − | 0.108862i | ||||
\(619\) | −6.05185e10 | + | 3.49403e10i | −0.412216 | + | 0.237993i | −0.691742 | − | 0.722145i | \(-0.743156\pi\) |
0.279525 | + | 0.960138i | \(0.409823\pi\) | |||||||
\(620\) | −2.71519e10 | − | 4.70285e10i | −0.183753 | − | 0.318269i | ||||
\(621\) | −3.33688e10 | − | 1.92655e10i | −0.224375 | − | 0.129543i | ||||
\(622\) | − | 4.80161e10i | − | 0.320793i | ||||||
\(623\) | 1.23863e11 | + | 1.08639e11i | 0.822226 | + | 0.721163i | ||||
\(624\) | −6.16175e10 | −0.406411 | ||||||||
\(625\) | −3.69293e10 | + | 6.39634e10i | −0.242020 | + | 0.419191i | ||||
\(626\) | 4.58552e10 | − | 2.64745e10i | 0.298601 | − | 0.172397i | ||||
\(627\) | 5.56153e10 | + | 9.63285e10i | 0.359852 | + | 0.623282i | ||||
\(628\) | 1.96181e11 | + | 1.13265e11i | 1.26130 | + | 0.728213i | ||||
\(629\) | − | 8.06369e9i | − | 0.0515147i | ||||||
\(630\) | 1.85819e9 | − | 9.33873e9i | 0.0117958 | − | 0.0592824i | ||||
\(631\) | −8.99980e10 | −0.567695 | −0.283848 | − | 0.958869i | \(-0.591611\pi\) | ||||
−0.283848 | + | 0.958869i | \(0.591611\pi\) | |||||||
\(632\) | −3.90914e10 | + | 6.77083e10i | −0.245027 | + | 0.424399i | ||||
\(633\) | −1.38998e11 | + | 8.02506e10i | −0.865753 | + | 0.499843i | ||||
\(634\) | 5.09919e10 | + | 8.83205e10i | 0.315605 | + | 0.546644i | ||||
\(635\) | −1.38462e10 | − | 7.99409e9i | −0.0851599 | − | 0.0491671i | ||||
\(636\) | − | 1.51267e11i | − | 0.924517i | ||||||
\(637\) | −8.98684e10 | + | 2.16886e11i | −0.545820 | + | 1.31726i | ||||
\(638\) | 1.20516e11 | 0.727381 | ||||||||
\(639\) | 3.41800e10 | − | 5.92015e10i | 0.205007 | − | 0.355082i | ||||
\(640\) | −6.30327e10 | + | 3.63919e10i | −0.375704 | + | 0.216913i | ||||
\(641\) | 1.01466e11 | + | 1.75744e11i | 0.601019 | + | 1.04100i | 0.992667 | + | 0.120880i | \(0.0385717\pi\) |
−0.391648 | + | 0.920115i | \(0.628095\pi\) | |||||||
\(642\) | 2.45548e10 | + | 1.41767e10i | 0.144543 | + | 0.0834519i | ||||
\(643\) | 1.99065e11i | 1.16453i | 0.812999 | + | 0.582265i | \(0.197833\pi\) | ||||
−0.812999 | + | 0.582265i | \(0.802167\pi\) | |||||||
\(644\) | 1.86341e11 | + | 3.70776e10i | 1.08334 | + | 0.215560i | ||||
\(645\) | −1.71777e10 | −0.0992489 | ||||||||
\(646\) | 3.67520e9 | − | 6.36564e9i | 0.0211033 | − | 0.0365520i | ||||
\(647\) | −9.44003e10 | + | 5.45021e10i | −0.538712 | + | 0.311025i | −0.744557 | − | 0.667559i | \(-0.767339\pi\) |
0.205845 | + | 0.978585i | \(0.434006\pi\) | |||||||
\(648\) | 7.55553e9 | + | 1.30866e10i | 0.0428514 | + | 0.0742208i | ||||
\(649\) | −4.78656e10 | − | 2.76352e10i | −0.269802 | − | 0.155770i | ||||
\(650\) | 8.80876e10i | 0.493471i | ||||||||
\(651\) | 7.15603e10 | − | 8.15887e10i | 0.398426 | − | 0.454262i | ||||
\(652\) | 1.14578e11 | 0.634030 | ||||||||
\(653\) | −4.34249e10 | + | 7.52141e10i | −0.238828 | + | 0.413663i | −0.960378 | − | 0.278700i | \(-0.910097\pi\) |
0.721550 | + | 0.692362i | \(0.243430\pi\) | |||||||
\(654\) | −9.66285e9 | + | 5.57885e9i | −0.0528195 | + | 0.0304954i | ||||
\(655\) | 2.79834e10 | + | 4.84687e10i | 0.152032 | + | 0.263327i | ||||
\(656\) | 6.92515e10 | + | 3.99823e10i | 0.373950 | + | 0.215900i | ||||
\(657\) | 6.01927e10i | 0.323060i | ||||||||
\(658\) | −4.96134e10 | + | 1.68380e10i | −0.264664 | + | 0.0898231i | ||||
\(659\) | −1.49313e11 | −0.791689 | −0.395845 | − | 0.918317i | \(-0.629548\pi\) | ||||
−0.395845 | + | 0.918317i | \(0.629548\pi\) | |||||||
\(660\) | 2.51885e10 | − | 4.36278e10i | 0.132748 | − | 0.229926i | ||||
\(661\) | 2.17164e11 | − | 1.25380e11i | 1.13758 | − | 0.656781i | 0.191749 | − | 0.981444i | \(-0.438584\pi\) |
0.945830 | + | 0.324663i | \(0.105251\pi\) | |||||||
\(662\) | −2.84061e10 | − | 4.92007e10i | −0.147904 | − | 0.256177i | ||||
\(663\) | −1.44158e10 | − | 8.32298e9i | −0.0746080 | − | 0.0430750i | ||||
\(664\) | − | 1.89136e11i | − | 0.972977i | ||||||
\(665\) | −2.56053e10 | − | 7.54461e10i | −0.130931 | − | 0.385789i | ||||
\(666\) | −1.36780e10 | −0.0695223 | ||||||||
\(667\) | −1.74659e11 | + | 3.02519e11i | −0.882446 | + | 1.52844i | ||||
\(668\) | −5.42724e9 | + | 3.13342e9i | −0.0272567 | + | 0.0157366i | ||||
\(669\) | 4.37101e9 | + | 7.57082e9i | 0.0218211 | + | 0.0377953i | ||||
\(670\) | −2.68667e10 | − | 1.55115e10i | −0.133326 | − | 0.0769759i | ||||
\(671\) | 3.19862e10i | 0.157788i | ||||||||
\(672\) | −8.67887e10 | − | 7.61211e10i | −0.425585 | − | 0.373274i | ||||
\(673\) | 2.52426e10 | 0.123048 | 0.0615240 | − | 0.998106i | \(-0.480404\pi\) | ||||
0.0615240 | + | 0.998106i | \(0.480404\pi\) | |||||||
\(674\) | −1.62365e10 | + | 2.81225e10i | −0.0786780 | + | 0.136274i | ||||
\(675\) | −2.82615e10 | + | 1.63168e10i | −0.136138 | + | 0.0785995i | ||||
\(676\) | −8.85058e10 | − | 1.53296e11i | −0.423823 | − | 0.734083i | ||||
\(677\) | 7.78426e10 | + | 4.49424e10i | 0.370564 | + | 0.213945i | 0.673705 | − | 0.739001i | \(-0.264702\pi\) |
−0.303141 | + | 0.952946i | \(0.598035\pi\) | |||||||
\(678\) | − | 2.12509e10i | − | 0.100568i | ||||||
\(679\) | 7.82131e10 | − | 3.93077e11i | 0.367960 | − | 1.84926i | ||||
\(680\) | −7.38646e9 | −0.0345462 | ||||||||
\(681\) | 1.76774e10 | − | 3.06182e10i | 0.0821922 | − | 0.142361i | ||||
\(682\) | −1.08793e11 | + | 6.28119e10i | −0.502881 | + | 0.290339i | ||||
\(683\) | 3.85503e10 | + | 6.67711e10i | 0.177152 | + | 0.306835i | 0.940904 | − | 0.338674i | \(-0.109978\pi\) |
−0.763752 | + | 0.645510i | \(0.776645\pi\) | |||||||
\(684\) | 4.93514e10 | + | 2.84931e10i | 0.225463 | + | 0.130171i | ||||
\(685\) | − | 1.87408e10i | − | 0.0851187i | ||||||
\(686\) | −8.41622e10 | + | 4.14848e10i | −0.380033 | + | 0.187324i | ||||
\(687\) | −1.60005e11 | −0.718301 | ||||||||
\(688\) | −2.22141e10 | + | 3.84759e10i | −0.0991459 | + | 0.171726i | ||||
\(689\) | 5.43116e11 | − | 3.13568e11i | 2.40999 | − | 1.39141i | ||||
\(690\) | −1.59739e10 | − | 2.76675e10i | −0.0704715 | − | 0.122060i | ||||
\(691\) | −1.52741e11 | − | 8.81853e10i | −0.669954 | − | 0.386798i | 0.126105 | − | 0.992017i | \(-0.459752\pi\) |
−0.796059 | + | 0.605219i | \(0.793086\pi\) | |||||||
\(692\) | 3.31489e11i | 1.44559i | ||||||||
\(693\) | 9.87415e10 | + | 1.96473e10i | 0.428121 | + | 0.0851862i | ||||
\(694\) | −2.99215e10 | −0.128987 | ||||||||
\(695\) | 1.72014e9 | − | 2.97938e9i | 0.00737269 | − | 0.0127699i | ||||
\(696\) | 1.18641e11 | − | 6.84977e10i | 0.505591 | − | 0.291903i | ||||
\(697\) | 1.08012e10 | + | 1.87083e10i | 0.0457659 | + | 0.0792689i | ||||
\(698\) | −6.03101e10 | − | 3.48200e10i | −0.254079 | − | 0.146692i | ||||
\(699\) | − | 1.19592e11i | − | 0.500947i | ||||||
\(700\) | 1.06106e11 | − | 1.20975e11i | 0.441922 | − | 0.503853i | ||||
\(701\) | 2.37032e11 | 0.981599 | 0.490800 | − | 0.871272i | \(-0.336705\pi\) | ||||
0.490800 | + | 0.871272i | \(0.336705\pi\) | |||||||
\(702\) | −1.41178e10 | + | 2.44527e10i | −0.0581324 | + | 0.100688i | ||||
\(703\) | −9.91157e10 | + | 5.72245e10i | −0.405808 | + | 0.234294i | ||||
\(704\) | −1.25859e10 | − | 2.17994e10i | −0.0512381 | − | 0.0887471i | ||||
\(705\) | −3.48716e10 | − | 2.01331e10i | −0.141161 | − | 0.0814995i | ||||
\(706\) | − | 9.99571e10i | − | 0.402341i | ||||||
\(707\) | −3.24488e11 | + | 1.10126e11i | −1.29874 | + | 0.440772i | ||||
\(708\) | −2.83164e10 | −0.112695 | ||||||||
\(709\) | 2.97998e10 | − | 5.16148e10i | 0.117931 | − | 0.204263i | −0.801016 | − | 0.598642i | \(-0.795707\pi\) |
0.918948 | + | 0.394379i | \(0.129040\pi\) | |||||||
\(710\) | 4.90865e10 | − | 2.83401e10i | 0.193165 | − | 0.111524i | ||||
\(711\) | −2.70603e10 | − | 4.68699e10i | −0.105890 | − | 0.183407i | ||||
\(712\) | −1.87749e11 | − | 1.08397e11i | −0.730563 | − | 0.421790i | ||||
\(713\) | − | 3.64124e11i | − | 1.40893i | ||||||
\(714\) | −2.13815e9 | − | 6.30007e9i | −0.00822707 | − | 0.0242411i | ||||
\(715\) | 2.08858e11 | 0.799148 | ||||||||
\(716\) | −1.65900e11 | + | 2.87348e11i | −0.631241 | + | 1.09334i | ||||
\(717\) | −2.52499e11 | + | 1.45781e11i | −0.955396 | + | 0.551598i | ||||
\(718\) | 2.25470e10 | + | 3.90525e10i | 0.0848380 | + | 0.146944i | ||||
\(719\) | −1.65282e11 | − | 9.54254e10i | −0.618456 | − | 0.357066i | 0.157811 | − | 0.987469i | \(-0.449556\pi\) |
−0.776268 | + | 0.630403i | \(0.782890\pi\) | |||||||
\(720\) | − | 1.89270e10i | − | 0.0704292i | ||||||
\(721\) | −1.04400e11 | − | 9.15678e10i | −0.386331 | − | 0.338846i | ||||
\(722\) | 1.08076e10 | 0.0397722 | ||||||||
\(723\) | 1.82582e10 | − | 3.16242e10i | 0.0668199 | − | 0.115735i | ||||
\(724\) | 1.11574e11 | − | 6.44174e10i | 0.406078 | − | 0.234449i | ||||
\(725\) | 1.47926e11 | + | 2.56216e11i | 0.535419 | + | 0.927372i | ||||
\(726\) | −4.20739e10 | − | 2.42914e10i | −0.151449 | − | 0.0874391i | ||||
\(727\) | 8.50700e10i | 0.304536i | 0.988339 | + | 0.152268i | \(0.0486577\pi\) | ||||
−0.988339 | + | 0.152268i | \(0.951342\pi\) | |||||||
\(728\) | 6.02856e10 | − | 3.02978e11i | 0.214629 | − | 1.07866i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | −2.49542e10 | + | 4.32219e10i | −0.0878723 | + | 0.152199i | ||||
\(731\) | −1.03943e10 | + | 6.00114e9i | −0.0364020 | + | 0.0210167i | ||||
\(732\) | 8.19366e9 | + | 1.41918e10i | 0.0285387 | + | 0.0494304i | ||||
\(733\) | −8.47822e9 | − | 4.89490e9i | −0.0293690 | − | 0.0169562i | 0.485244 | − | 0.874379i | \(-0.338731\pi\) |
−0.514613 | + | 0.857423i | \(0.672064\pi\) | |||||||
\(734\) | 1.24704e11i | 0.429633i | ||||||||
\(735\) | −6.66208e10 | − | 2.76049e10i | −0.228276 | − | 0.0945881i | ||||
\(736\) | −3.87331e11 | −1.31999 | ||||||||
\(737\) | 1.64008e11 | − | 2.84071e11i | 0.555899 | − | 0.962846i | ||||
\(738\) | 3.17338e10 | − | 1.83215e10i | 0.106978 | − | 0.0617640i | ||||
\(739\) | 1.64891e11 | + | 2.85599e11i | 0.552864 | + | 0.957588i | 0.998066 | + | 0.0621581i | \(0.0197983\pi\) |
−0.445203 | + | 0.895430i | \(0.646868\pi\) | |||||||
\(740\) | 4.48902e10 | + | 2.59174e10i | 0.149701 | + | 0.0864299i | ||||
\(741\) | 2.36258e11i | 0.783636i | ||||||||
\(742\) | 2.45833e11 | + | 4.89150e10i | 0.811006 | + | 0.161371i | ||||
\(743\) | −3.93745e11 | −1.29199 | −0.645996 | − | 0.763341i | \(-0.723558\pi\) | ||||
−0.645996 | + | 0.763341i | \(0.723558\pi\) | |||||||
\(744\) | −7.14008e10 | + | 1.23670e11i | −0.233030 | + | 0.403620i | ||||
\(745\) | 2.06679e10 | − | 1.19326e10i | 0.0670922 | − | 0.0387357i | ||||
\(746\) | −8.98937e10 | − | 1.55701e11i | −0.290251 | − | 0.502730i | ||||
\(747\) | 1.13385e11 | + | 6.54631e10i | 0.364145 | + | 0.210239i | ||||
\(748\) | − | 3.51992e10i | − | 0.112441i | ||||||
\(749\) | 1.41595e11 | − | 1.61438e11i | 0.449905 | − | 0.512954i | ||||
\(750\) | −6.01834e10 | −0.190209 | ||||||||
\(751\) | 2.67018e11 | − | 4.62489e11i | 0.839423 | − | 1.45392i | −0.0509539 | − | 0.998701i | \(-0.516226\pi\) |
0.890377 | − | 0.455223i | \(-0.150441\pi\) | |||||||
\(752\) | −9.01916e10 | + | 5.20721e10i | −0.282030 | + | 0.162830i | ||||
\(753\) | 7.37315e10 | + | 1.27707e11i | 0.229336 | + | 0.397222i | ||||
\(754\) | 2.21686e11 | + | 1.27990e11i | 0.685887 | + | 0.395997i | ||||
\(755\) | 1.49468e11i | 0.460004i | ||||||||
\(756\) | 4.88431e10 | − | 1.65766e10i | 0.149526 | − | 0.0507468i | ||||
\(757\) | −3.48900e11 | −1.06247 | −0.531236 | − | 0.847224i | \(-0.678272\pi\) | ||||
−0.531236 | + | 0.847224i | \(0.678272\pi\) | |||||||
\(758\) | −6.45122e10 | + | 1.11738e11i | −0.195418 | + | 0.338474i | ||||
\(759\) | 2.92538e11 | − | 1.68897e11i | 0.881486 | − | 0.508926i | ||||
\(760\) | 5.24185e10 | + | 9.07915e10i | 0.157120 | + | 0.272139i | ||||
\(761\) | 1.24626e11 | + | 7.19527e10i | 0.371594 | + | 0.214540i | 0.674155 | − | 0.738590i | \(-0.264508\pi\) |
−0.302561 | + | 0.953130i | \(0.597841\pi\) | |||||||
\(762\) | 1.89490e10i | 0.0562039i | ||||||||
\(763\) | 2.71577e10 | + | 8.00201e10i | 0.0801298 | + | 0.236103i | ||||
\(764\) | −1.26222e11 | −0.370476 | ||||||||
\(765\) | 2.55657e9 | − | 4.42811e9i | 0.00746470 | − | 0.0129292i | ||||
\(766\) | 8.81833e10 | − | 5.09127e10i | 0.256136 | − | 0.147880i | ||||
\(767\) | −5.86984e10 | − | 1.01669e11i | −0.169607 | − | 0.293769i | ||||
\(768\) | 6.10936e10 | + | 3.52724e10i | 0.175611 | + | 0.101389i | ||||
\(769\) | 2.83112e11i | 0.809567i | 0.914413 | + | 0.404783i | \(0.132653\pi\) | ||||
−0.914413 | + | 0.404783i | \(0.867347\pi\) | |||||||
\(770\) | 6.27570e10 | + | 5.50433e10i | 0.178525 | + | 0.156582i | ||||
\(771\) | 3.55303e11 | 1.00550 | ||||||||
\(772\) | −1.95066e11 | + | 3.37864e11i | −0.549177 | + | 0.951203i | ||||
\(773\) | 1.18891e11 | − | 6.86416e10i | 0.332989 | − | 0.192251i | −0.324178 | − | 0.945996i | \(-0.605088\pi\) |
0.657167 | + | 0.753745i | \(0.271754\pi\) | |||||||
\(774\) | 1.01794e10 | + | 1.76312e10i | 0.0283634 | + | 0.0491268i | ||||
\(775\) | −2.67075e11 | − | 1.54196e11i | −0.740333 | − | 0.427431i | ||||
\(776\) | 5.27368e11i | 1.45434i | ||||||||
\(777\) | −2.02157e10 | + | 1.01599e11i | −0.0554633 | + | 0.278743i | ||||
\(778\) | 1.62211e11 | 0.442754 | ||||||||
\(779\) | 1.53303e11 | − | 2.65529e11i | 0.416296 | − | 0.721045i | ||||
\(780\) | 9.26673e10 | − | 5.35015e10i | 0.250350 | − | 0.144540i | ||||
\(781\) | 2.99649e11 | + | 5.19008e11i | 0.805395 | + | 1.39499i | ||||
\(782\) | −1.93317e10 | − | 1.11612e10i | −0.0516943 | − | 0.0298457i | ||||
\(783\) | 9.48325e10i | 0.252296i | ||||||||
\(784\) | −1.47985e11 | + | 1.13524e11i | −0.391701 | + | 0.300485i | ||||
\(785\) | −2.88485e11 | −0.759706 | ||||||||
\(786\) | 3.31656e10 | − | 5.74444e10i | 0.0868955 | − | 0.150507i | ||||
\(787\) | 2.96173e11 | − | 1.70995e11i | 0.772051 | − | 0.445744i | −0.0615545 | − | 0.998104i | \(-0.519606\pi\) |
0.833606 | + | 0.552360i | \(0.186272\pi\) | |||||||
\(788\) | 7.43786e10 | + | 1.28827e11i | 0.192905 | + | 0.334121i | ||||
\(789\) | −2.84589e11 | − | 1.64308e11i | −0.734363 | − | 0.423985i | ||||
\(790\) | − | 4.48737e10i | − | 0.115208i | ||||||
\(791\) | −1.57850e11 | − | 3.14084e10i | −0.403216 | − | 0.0802307i | ||||
\(792\) | −1.32476e11 | −0.336694 | ||||||||
\(793\) | −3.39701e10 | + | 5.88379e10i | −0.0859020 | + | 0.148787i | ||||
\(794\) | −7.51356e10 | + | 4.33795e10i | −0.189044 | + | 0.109145i | ||||
\(795\) | 9.63187e10 | + | 1.66829e11i | 0.241125 | + | 0.417641i | ||||
\(796\) | 3.19711e11 | + | 1.84585e11i | 0.796353 | + | 0.459775i | ||||
\(797\) | − | 5.90299e11i | − | 1.46298i | −0.681852 | − | 0.731491i | \(-0.738825\pi\) | ||
0.681852 | − | 0.731491i | \(-0.261175\pi\) | |||||||
\(798\) | −6.22645e10 | + | 7.09902e10i | −0.153543 | + | 0.175060i | ||||
\(799\) | −2.81346e10 | −0.0690325 | ||||||||
\(800\) | −1.64024e11 | + | 2.84097e11i | −0.400448 | + | 0.693596i | ||||
\(801\) | 1.29966e11 | − | 7.50357e10i | 0.315718 | − | 0.182280i | ||||
\(802\) | −5.76203e10 | − | 9.98013e10i | −0.139277 | − | 0.241234i | ||||
\(803\) | −4.57000e11 | − | 2.63849e11i | −1.09914 | − | 0.634590i | ||||
\(804\) | − | 1.68051e11i | − | 0.402177i | ||||||
\(805\) | −2.29121e11 | + | 7.77602e10i | −0.545608 | + | 0.185171i | ||||
\(806\) | −2.66830e11 | −0.632259 | ||||||||
\(807\) | −1.92753e11 | + | 3.33857e11i | −0.454471 | + | 0.787167i | ||||
\(808\) | 3.90488e11 | − | 2.25448e11i | 0.916140 | − | 0.528934i | ||||
\(809\) | 4.80422e10 | + | 8.32115e10i | 0.112158 | + | 0.194263i | 0.916640 | − | 0.399714i | \(-0.130891\pi\) |
−0.804482 | + | 0.593976i | \(0.797557\pi\) | |||||||
\(810\) | −7.51115e9 | − | 4.33656e9i | −0.0174488 | − | 0.0100741i | ||||
\(811\) | 2.61119e11i | 0.603608i | 0.953370 | + | 0.301804i | \(0.0975888\pi\) | ||||
−0.953370 | + | 0.301804i | \(0.902411\pi\) | |||||||
\(812\) | −1.50282e11 | − | 4.42806e11i | −0.345687 | − | 1.01857i | ||||
\(813\) | 3.23579e11 | 0.740658 | ||||||||
\(814\) | 5.99560e10 | − | 1.03847e11i | 0.136564 | − | 0.236535i | ||||
\(815\) | −1.26365e11 | + | 7.29571e10i | −0.286416 | + | 0.165363i | ||||
\(816\) | −6.61229e9 | − | 1.14528e10i | −0.0149139 | − | 0.0258316i | ||||
\(817\) | 1.47527e11 | + | 8.51750e10i | 0.331119 | + | 0.191172i | ||||
\(818\) | − | 3.38123e11i | − | 0.755199i | ||||||
\(819\) | 1.60767e11 | + | 1.41006e11i | 0.357322 | + | 0.313403i | ||||
\(820\) | −1.38864e11 | −0.307139 | ||||||||
\(821\) | 1.69853e11 | − | 2.94194e11i | 0.373853 | − | 0.647532i | −0.616302 | − | 0.787510i | \(-0.711370\pi\) |
0.990155 | + | 0.139978i | \(0.0447032\pi\) | |||||||
\(822\) | −1.92356e10 | + | 1.11057e10i | −0.0421325 | + | 0.0243252i | ||||
\(823\) | −6.89538e10 | − | 1.19432e11i | −0.150300 | − | 0.260327i | 0.781038 | − | 0.624484i | \(-0.214691\pi\) |
−0.931338 | + | 0.364157i | \(0.881357\pi\) | |||||||
\(824\) | 1.58247e11 | + | 9.13638e10i | 0.343262 | + | 0.198183i | ||||
\(825\) | − | 2.86092e11i | − | 0.617576i | ||||||
\(826\) | 9.15664e9 | − | 4.60187e10i | 0.0196705 | − | 0.0988584i | ||||
\(827\) | 1.03179e11 | 0.220582 | 0.110291 | − | 0.993899i | \(-0.464822\pi\) | ||||
0.110291 | + | 0.993899i | \(0.464822\pi\) | |||||||
\(828\) | 8.65300e10 | − | 1.49874e11i | 0.184096 | − | 0.318864i | ||||
\(829\) | −2.61446e11 | + | 1.50946e11i | −0.553559 | + | 0.319598i | −0.750556 | − | 0.660806i | \(-0.770214\pi\) |
0.196997 | + | 0.980404i | \(0.436881\pi\) | |||||||
\(830\) | 5.42782e10 | + | 9.40127e10i | 0.114370 | + | 0.198095i | ||||
\(831\) | −2.29593e11 | − | 1.32556e11i | −0.481454 | − | 0.277968i | ||||
\(832\) | − | 5.34659e10i | − | 0.111579i | ||||||
\(833\) | −4.99564e10 | + | 6.57060e9i | −0.103756 | + | 0.0136466i | ||||
\(834\) | −4.07739e9 | −0.00842787 | ||||||||
\(835\) | 3.99039e9 | − | 6.91156e9i | 0.00820860 | − | 0.0142177i | ||||
\(836\) | −4.32654e11 | + | 2.49793e11i | −0.885760 | + | 0.511394i | ||||
\(837\) | −4.94259e10 | − | 8.56082e10i | −0.100705 | − | 0.174427i | ||||
\(838\) | −1.88786e11 | − | 1.08996e11i | −0.382820 | − | 0.221021i | ||||
\(839\) | − | 4.99916e11i | − | 1.00890i | −0.863440 | − | 0.504451i | \(-0.831695\pi\) | ||
0.863440 | − | 0.504451i | \(-0.168305\pi\) | |||||||
\(840\) | 9.30658e10 | + | 1.85179e10i | 0.186927 | + | 0.0371942i | ||||
\(841\) | 3.59495e11 | 0.718636 | ||||||||
\(842\) | 1.93681e11 | − | 3.35466e11i | 0.385336 | − | 0.667421i | ||||
\(843\) | −9.71808e8 | + | 5.61073e8i | −0.00192429 | + | 0.00111099i | ||||
\(844\) | −3.60441e11 | − | 6.24302e11i | −0.710337 | − | 1.23034i | ||||
\(845\) | 1.95222e11 | + | 1.12712e11i | 0.382915 | + | 0.221076i | ||||
\(846\) | 4.77231e10i | 0.0931637i | ||||||||
\(847\) | −2.42618e11 | + | 2.76619e11i | −0.471400 | + | 0.537462i | ||||
\(848\) | 4.98236e11 | 0.963499 | ||||||||
\(849\) | −2.06577e11 | + | 3.57802e11i | −0.397604 | + | 0.688671i | ||||
\(850\) | −1.63728e10 | + | 9.45286e9i | −0.0313652 | + | 0.0181087i | ||||
\(851\) | 1.73784e11 | + | 3.01003e11i | 0.331353 | + | 0.573921i | ||||
\(852\) | 2.65900e11 | + | 1.53518e11i | 0.504615 | + | 0.291340i | ||||
\(853\) | − | 6.64273e11i | − | 1.25473i | −0.778725 | − | 0.627365i | \(-0.784133\pi\) | ||
0.778725 | − | 0.627365i | \(-0.215867\pi\) | |||||||
\(854\) | −2.57136e10 | + | 8.72681e9i | −0.0483427 | + | 0.0164068i | ||||
\(855\) | −7.25715e10 | −0.135801 | ||||||||
\(856\) | −1.41280e11 | + | 2.44703e11i | −0.263138 | + | 0.455769i | ||||
\(857\) | −3.73865e11 | + | 2.15851e11i | −0.693092 | + | 0.400157i | −0.804769 | − | 0.593587i | \(-0.797711\pi\) |
0.111677 | + | 0.993745i | \(0.464378\pi\) | |||||||
\(858\) | −1.23768e11 | − | 2.14372e11i | −0.228381 | − | 0.395567i | ||||
\(859\) | −3.15583e11 | − | 1.82202e11i | −0.579618 | − | 0.334642i | 0.181364 | − | 0.983416i | \(-0.441949\pi\) |
−0.760981 | + | 0.648774i | \(0.775282\pi\) | |||||||
\(860\) | − | 7.71527e10i | − | 0.141045i | ||||||
\(861\) | −8.91884e10 | − | 2.62794e11i | −0.162292 | − | 0.478193i | ||||
\(862\) | −2.01048e11 | −0.364143 | ||||||||
\(863\) | 3.50506e11 | − | 6.07094e11i | 0.631906 | − | 1.09449i | −0.355256 | − | 0.934769i | \(-0.615606\pi\) |
0.987162 | − | 0.159724i | \(-0.0510604\pi\) | |||||||
\(864\) | −9.10644e10 | + | 5.25760e10i | −0.163416 | + | 0.0943480i | ||||
\(865\) | −2.11075e11 | − | 3.65592e11i | −0.377026 | − | 0.653029i | ||||
\(866\) | 1.93241e11 | + | 1.11568e11i | 0.343580 | + | 0.198366i | ||||
\(867\) | 3.22651e11i | 0.571027i | ||||||||
\(868\) | 3.66451e11 | + | 3.21409e11i | 0.645561 | + | 0.566212i | ||||
\(869\) | 4.74465e11 | 0.832004 | ||||||||
\(870\) | −3.93148e10 | + | 6.80953e10i | −0.0686245 | + | 0.118861i | ||||
\(871\) | 6.03378e11 | − | 3.48361e11i | 1.04838 | − | 0.605280i | ||||
\(872\) | −5.55965e10 | − | 9.62960e10i | −0.0961571 | − | 0.166549i | ||||
\(873\) | −3.16152e11 | − | 1.82530e11i | −0.544301 | − | 0.314252i | ||||
\(874\) | 3.16823e11i | 0.542965i | ||||||||
\(875\) | −8.89498e10 | + | 4.47036e11i | −0.151744 | + | 0.762624i | ||||
\(876\) | −2.70352e11 | −0.459107 | ||||||||
\(877\) | −2.68814e11 | + | 4.65600e11i | −0.454416 | + | 0.787072i | −0.998654 | − | 0.0518586i | \(-0.983486\pi\) |
0.544238 | + | 0.838931i | \(0.316819\pi\) | |||||||
\(878\) | −3.90582e11 | + | 2.25503e11i | −0.657255 | + | 0.379467i | ||||
\(879\) | −1.88702e11 | − | 3.26842e11i | −0.316098 | − | 0.547497i | ||||
\(880\) | 1.43699e11 | + | 8.29649e10i | 0.239621 | + | 0.138345i | ||||
\(881\) | 1.18727e12i | 1.97081i | 0.170220 | + | 0.985406i | \(0.445552\pi\) | ||||
−0.170220 | + | 0.985406i | \(0.554448\pi\) | |||||||
\(882\) | 1.11453e10 | + | 8.47382e10i | 0.0184170 | + | 0.140025i | ||||
\(883\) | 1.03398e11 | 0.170086 | 0.0850429 | − | 0.996377i | \(-0.472897\pi\) | ||||
0.0850429 | + | 0.996377i | \(0.472897\pi\) | |||||||
\(884\) | 3.73822e10 | − | 6.47479e10i | 0.0612148 | − | 0.106027i | ||||
\(885\) | 3.12295e10 | − | 1.80304e10i | 0.0509088 | − | 0.0293922i | ||||
\(886\) | −2.33834e11 | − | 4.05012e11i | −0.379465 | − | 0.657253i | ||||
\(887\) | 7.38676e11 | + | 4.26475e11i | 1.19333 | + | 0.688967i | 0.959059 | − | 0.283205i | \(-0.0913977\pi\) |
0.234267 | + | 0.972172i | \(0.424731\pi\) | |||||||
\(888\) | − | 1.36309e11i | − | 0.219216i | ||||||
\(889\) | 1.40751e11 | + | 2.80062e10i | 0.225344 | + | 0.0448381i | ||||
\(890\) | 1.24431e11 | 0.198320 | ||||||||
\(891\) | 4.58520e10 | − | 7.94179e10i | 0.0727524 | − | 0.126011i | ||||
\(892\) | −3.40039e10 | + | 1.96322e10i | −0.0537118 | + | 0.0310105i | ||||
\(893\) | 1.99659e11 | + | 3.45819e11i | 0.313966 | + | 0.543805i | ||||
\(894\) | −2.44954e10 | − | 1.41424e10i | −0.0383472 | − | 0.0221398i | ||||
\(895\) | − | 4.22546e11i | − | 0.658540i | ||||||
\(896\) | 4.30788e11 | − | 4.91158e11i | 0.668392 | − | 0.762060i | ||||
\(897\) | 7.17489e11 | 1.10827 | ||||||||
\(898\) | 1.39504e11 | − | 2.41628e11i | 0.214526 | − | 0.371571i | ||||
\(899\) | −7.76115e11 | + | 4.48090e11i | −1.18819 | + | 0.686004i | ||||
\(900\) | −7.32860e10 | − | 1.26935e11i | −0.111699 | − | 0.193469i | ||||
\(901\) | 1.16566e11 | + | 6.72992e10i | 0.176877 | + | 0.102120i | ||||
\(902\) | 3.21242e11i | 0.485296i | ||||||||
\(903\) | 1.46008e11 | − | 4.95529e10i | 0.219596 | − | 0.0745278i | ||||
\(904\) | 2.11778e11 | 0.317108 | ||||||||
\(905\) | −8.20353e10 | + | 1.42089e11i | −0.122294 | + | 0.211820i | ||||
\(906\) | 1.53415e11 | − | 8.85739e10i | 0.227695 | − | 0.131460i | ||||
\(907\) | 1.20799e11 | + | 2.09230e11i | 0.178498 | + | 0.309168i | 0.941366 | − | 0.337386i | \(-0.109543\pi\) |
−0.762868 | + | 0.646554i | \(0.776209\pi\) | |||||||
\(908\) | 1.37520e11 | + | 7.93973e10i | 0.202313 | + | 0.116805i | ||||
\(909\) | 3.12125e11i | 0.457165i | ||||||||
\(910\) | 5.69828e10 | + | 1.67900e11i | 0.0830956 | + | 0.244841i | ||||
\(911\) | −3.40518e11 | −0.494386 | −0.247193 | − | 0.968966i | \(-0.579508\pi\) | ||||
−0.247193 | + | 0.968966i | \(0.579508\pi\) | |||||||
\(912\) | −9.38491e10 | + | 1.62551e11i | −0.135660 | + | 0.234969i | ||||
\(913\) | −9.94028e11 | + | 5.73902e11i | −1.43059 | + | 0.825952i | ||||
\(914\) | −1.10587e11 | − | 1.91543e11i | −0.158460 | − | 0.274461i | ||||
\(915\) | −1.80732e10 | − | 1.04346e10i | −0.0257841 | − | 0.0148864i | ||||
\(916\) | − | 7.18654e11i | − | 1.02079i | ||||||
\(917\) | −3.77674e11 | − | 3.31252e11i | −0.534120 | − | 0.468470i | ||||
\(918\) | −6.06003e9 | −0.00853305 | ||||||||
\(919\) | −1.70782e11 | + | 2.95802e11i | −0.239430 | + | 0.414705i | −0.960551 | − | 0.278104i | \(-0.910294\pi\) |
0.721121 | + | 0.692809i | \(0.243627\pi\) | |||||||
\(920\) | 2.75723e11 | − | 1.59189e11i | 0.384877 | − | 0.222209i | ||||
\(921\) | −2.35990e11 | − | 4.08746e11i | −0.327985 | − | 0.568087i | ||||
\(922\) | −3.08913e10 | − | 1.78351e10i | −0.0427477 | − | 0.0246804i | ||||
\(923\) | 1.27293e12i | 1.75388i | ||||||||
\(924\) | −8.82446e10 | + | 4.43492e11i | −0.121060 | + | 0.608413i | ||||
\(925\) | 2.94370e11 | 0.402093 | ||||||||
\(926\) | 1.73708e11 | − | 3.00870e11i | 0.236252 | − | 0.409200i | ||||
\(927\) | −1.09543e11 | + | 6.32449e10i | −0.148343 | + | 0.0856459i | ||||
\(928\) | 4.76649e11 | + | 8.25580e11i | 0.642698 | + | 1.11319i | ||||
\(929\) | 7.66008e11 | + | 4.42255e11i | 1.02842 | + | 0.593759i | 0.916532 | − | 0.399962i | \(-0.130977\pi\) |
0.111889 | + | 0.993721i | \(0.464310\pi\) | |||||||
\(930\) | − | 8.19623e10i | − | 0.109568i | ||||||
\(931\) | 4.35282e11 | + | 5.67416e11i | 0.579392 | + | 0.755271i | ||||
\(932\) | 5.37139e11 | 0.711907 | ||||||||
\(933\) | −1.65619e11 | + | 2.86861e11i | −0.218567 | + | 0.378569i | ||||
\(934\) | −3.35503e11 | + | 1.93703e11i | −0.440868 | + | 0.254535i | ||||
\(935\) | 2.24130e10 | + | 3.88204e10i | 0.0293260 | + | 0.0507941i | ||||
\(936\) | −2.43686e11 | − | 1.40692e11i | −0.317487 | − | 0.183301i | ||||
\(937\) | − | 4.85369e11i | − | 0.629671i | −0.949146 | − | 0.314836i | \(-0.898051\pi\) | ||
0.949146 | − | 0.314836i | \(-0.101949\pi\) | |||||||
\(938\) | 2.73110e11 | + | 5.43424e10i | 0.352798 | + | 0.0701985i | ||||
\(939\) | −3.65268e11 | −0.469840 | ||||||||
\(940\) | 9.04269e10 | − | 1.56624e11i | 0.115821 | − | 0.200607i | ||||
\(941\) | −7.31010e11 | + | 4.22049e11i | −0.932320 | + | 0.538275i | −0.887545 | − | 0.460722i | \(-0.847591\pi\) |
−0.0447755 | + | 0.998997i | \(0.514257\pi\) | |||||||
\(942\) | 1.70955e11 | + | 2.96102e11i | 0.217109 | + | 0.376043i | ||||
\(943\) | −8.06381e11 | − | 4.65564e11i | −1.01975 | − | 0.588752i | ||||
\(944\) | − | 9.32672e10i | − | 0.117447i | ||||||
\(945\) | −4.33129e10 | + | 4.93827e10i | −0.0543113 | + | 0.0619224i | ||||
\(946\) | −1.78481e11 | −0.222858 | ||||||||
\(947\) | 3.11821e11 | − | 5.40090e11i | 0.387709 | − | 0.671531i | −0.604432 | − | 0.796656i | \(-0.706600\pi\) |
0.992141 | + | 0.125126i | \(0.0399334\pi\) | |||||||
\(948\) | 2.10513e11 | − | 1.21540e11i | 0.260643 | − | 0.150482i | ||||
\(949\) | −5.60426e11 | − | 9.70687e11i | −0.690961 | − | 1.19678i | ||||
\(950\) | 2.32382e11 | + | 1.34166e11i | 0.285304 | + | 0.164720i | ||||
\(951\) | − | 7.03534e11i | − | 0.860128i | ||||||
\(952\) | 6.27838e10 | − | 2.13079e10i | 0.0764364 | − | 0.0259414i | ||||
\(953\) | −5.74523e11 | −0.696524 | −0.348262 | − | 0.937397i | \(-0.613228\pi\) | ||||
−0.348262 | + | 0.937397i | \(0.613228\pi\) | |||||||
\(954\) | 1.14156e11 | − | 1.97723e11i | 0.137817 | − | 0.238707i | ||||
\(955\) | 1.39207e11 | − | 8.03713e10i | 0.167359 | − | 0.0966246i | ||||
\(956\) | −6.54765e11 | − | 1.13409e12i | −0.783888 | − | 1.35773i | ||||
\(957\) | −7.19995e11 | − | 4.15689e11i | −0.858384 | − | 0.495588i | ||||
\(958\) | − | 9.57653e9i | − | 0.0113696i | ||||||
\(959\) | 5.40619e10 | + | 1.59294e11i | 0.0639171 | + | 0.188332i | ||||
\(960\) | 1.64231e10 | 0.0193362 | ||||||||
\(961\) | 4.06366e10 | − | 7.03846e10i | 0.0476457 | − | 0.0825247i | ||||
\(962\) | 2.20575e11 | − | 1.27349e11i | 0.257547 | − | 0.148695i | ||||
\(963\) | −9.77982e10 | − | 1.69391e11i | −0.113717 | − | 0.196964i | ||||
\(964\) | 1.42038e11 | + | 8.20059e10i | 0.164474 | + | 0.0949592i | ||||
\(965\) | − | 4.96831e11i | − | 0.572927i | ||||||
\(966\) | 2.15589e11 | + | 1.89090e11i | 0.247581 | + | 0.217150i | ||||
\(967\) | 1.02285e12 | 1.16978 | 0.584892 | − | 0.811111i | \(-0.301137\pi\) | ||||
0.584892 | + | 0.811111i | \(0.301137\pi\) | |||||||
\(968\) | 2.42078e11 | − | 4.19291e11i | 0.275711 | − | 0.477545i | ||||
\(969\) | −4.39133e10 | + | 2.53533e10i | −0.0498082 | + | 0.0287568i | ||||
\(970\) | −1.51344e11 | − | 2.62135e11i | −0.170953 | − | 0.296100i | ||||
\(971\) | 1.43260e12 | + | 8.27112e11i | 1.61157 | + | 0.930438i | 0.989008 | + | 0.147864i | \(0.0472397\pi\) |
0.622558 | + | 0.782574i | \(0.286094\pi\) | |||||||
\(972\) | − | 4.69821e10i | − | 0.0526341i | ||||||
\(973\) | −6.02629e9 | + | 3.02864e10i | −0.00672355 | + | 0.0337907i | ||||
\(974\) | 2.78682e11 | 0.309651 | ||||||||
\(975\) | 3.03836e11 | − | 5.26259e11i | 0.336218 | − | 0.582346i | ||||
\(976\) | −4.67444e10 | + | 2.69879e10i | −0.0515146 | + | 0.0297420i | ||||
\(977\) | −7.08767e11 | − | 1.22762e12i | −0.777902 | − | 1.34737i | −0.933149 | − | 0.359490i | \(-0.882951\pi\) |
0.155247 | − | 0.987876i | \(-0.450383\pi\) | |||||||
\(978\) | 1.49767e11 | + | 8.64678e10i | 0.163704 | + | 0.0945146i | ||||
\(979\) | 1.31565e12i | 1.43222i | ||||||||
\(980\) | 1.23986e11 | − | 2.99224e11i | 0.134421 | − | 0.324408i | ||||
\(981\) | 7.69713e10 | 0.0831099 | ||||||||
\(982\) | −2.47127e10 | + | 4.28037e10i | −0.0265751 | + | 0.0460294i | ||||
\(983\) | 6.10227e11 | − | 3.52315e11i | 0.653548 | − | 0.377326i | −0.136266 | − | 0.990672i | \(-0.543510\pi\) |
0.789814 | + | 0.613346i | \(0.210177\pi\) | |||||||
\(984\) | 1.82584e11 | + | 3.16246e11i | 0.194753 | + | 0.337322i | ||||
\(985\) | −1.64061e11 | − | 9.47207e10i | −0.174285 | − | 0.100624i | ||||
\(986\) | 5.49396e10i | 0.0581270i | ||||||||
\(987\) | 3.54482e11 | + | 7.05337e10i | 0.373530 | + | 0.0743238i | ||||
\(988\) | −1.06114e12 | −1.11364 | ||||||||
\(989\) | 2.58666e11 | − | 4.48023e11i | 0.270368 | − | 0.468291i | ||||
\(990\) | 6.58488e10 | − | 3.80178e10i | 0.0685499 | − | 0.0395773i | ||||
\(991\) | −6.48285e11 | − | 1.12286e12i | −0.672158 | − | 1.16421i | −0.977291 | − | 0.211902i | \(-0.932034\pi\) |
0.305133 | − | 0.952310i | \(-0.401299\pi\) | |||||||
\(992\) | −8.60571e11 | − | 4.96851e11i | −0.888669 | − | 0.513074i | ||||
\(993\) | 3.91918e11i | 0.403086i | ||||||||
\(994\) | −3.35474e11 | + | 3.82487e11i | −0.343648 | + | 0.391806i | ||||
\(995\) | −4.70137e11 | −0.479658 | ||||||||
\(996\) | −2.94024e11 | + | 5.09264e11i | −0.298776 | + | 0.517495i | ||||
\(997\) | 1.85093e11 | − | 1.06863e11i | 0.187331 | − | 0.108155i | −0.403402 | − | 0.915023i | \(-0.632172\pi\) |
0.590732 | + | 0.806868i | \(0.298839\pi\) | |||||||
\(998\) | 1.12734e11 | + | 1.95260e11i | 0.113640 | + | 0.196830i | ||||
\(999\) | 8.17158e10 | + | 4.71786e10i | 0.0820435 | + | 0.0473678i |
(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 | 21.9.f.b.19.3 | yes | 12 | |
3.2 | odd | 2 | 63.9.m.d.19.4 | 12 | |||
7.2 | even | 3 | 147.9.d.b.97.8 | 12 | |||
7.3 | odd | 6 | inner | 21.9.f.b.10.3 | ✓ | 12 | |
7.5 | odd | 6 | 147.9.d.b.97.7 | 12 | |||
21.17 | even | 6 | 63.9.m.d.10.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.9.f.b.10.3 | ✓ | 12 | 7.3 | odd | 6 | inner | |
21.9.f.b.19.3 | yes | 12 | 1.1 | even | 1 | trivial | |
63.9.m.d.10.4 | 12 | 21.17 | even | 6 | |||
63.9.m.d.19.4 | 12 | 3.2 | odd | 2 | |||
147.9.d.b.97.7 | 12 | 7.5 | odd | 6 | |||
147.9.d.b.97.8 | 12 | 7.2 | even | 3 |