Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [31,8,Mod(2,31)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(31, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("31.2");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 31 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 31.d (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.68393579001\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 31.4 |
Dual form | 31.8.d.a.8.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.21729 | − | 19.1348i | −0.549536 | − | 1.69130i | −0.709954 | − | 0.704248i | \(-0.751284\pi\) |
0.160418 | − | 0.987049i | \(-0.448716\pi\) | |||||||
\(3\) | −6.66015 | + | 20.4978i | −0.142416 | + | 0.438312i | −0.996670 | − | 0.0815445i | \(-0.974015\pi\) |
0.854253 | + | 0.519857i | \(0.174015\pi\) | |||||||
\(4\) | −223.933 | + | 162.697i | −1.74948 | + | 1.27107i | ||||
\(5\) | −211.276 | −0.755884 | −0.377942 | − | 0.925829i | \(-0.623368\pi\) | ||||
−0.377942 | + | 0.925829i | \(0.623368\pi\) | |||||||
\(6\) | 433.631 | 0.819579 | ||||||||
\(7\) | 148.175 | − | 107.656i | 0.163280 | − | 0.118630i | −0.503145 | − | 0.864202i | \(-0.667824\pi\) |
0.666425 | + | 0.745572i | \(0.267824\pi\) | |||||||
\(8\) | 2421.98 | + | 1759.67i | 1.67246 | + | 1.21511i | ||||
\(9\) | 1393.52 | + | 1012.45i | 0.637182 | + | 0.462940i | ||||
\(10\) | 1313.56 | + | 4042.73i | 0.415385 | + | 1.27842i | ||||
\(11\) | 953.532 | − | 692.782i | 0.216004 | − | 0.156936i | −0.474522 | − | 0.880243i | \(-0.657379\pi\) |
0.690526 | + | 0.723308i | \(0.257379\pi\) | |||||||
\(12\) | −1843.51 | − | 5673.74i | −0.307972 | − | 0.947840i | ||||
\(13\) | 643.974 | − | 1981.95i | 0.0812955 | − | 0.250202i | −0.902145 | − | 0.431433i | \(-0.858008\pi\) |
0.983441 | + | 0.181231i | \(0.0580082\pi\) | |||||||
\(14\) | −2981.22 | − | 2165.99i | −0.290366 | − | 0.210964i | ||||
\(15\) | 1407.13 | − | 4330.70i | 0.107650 | − | 0.331313i | ||||
\(16\) | 7664.40 | − | 23588.6i | 0.467798 | − | 1.43973i | ||||
\(17\) | 4764.43 | + | 3461.56i | 0.235201 | + | 0.170884i | 0.699143 | − | 0.714982i | \(-0.253565\pi\) |
−0.463941 | + | 0.885866i | \(0.653565\pi\) | |||||||
\(18\) | 10709.2 | − | 32959.4i | 0.432814 | − | 1.33207i | ||||
\(19\) | 434.447 | + | 1337.09i | 0.0145311 | + | 0.0447222i | 0.958059 | − | 0.286570i | \(-0.0925153\pi\) |
−0.943528 | + | 0.331293i | \(0.892515\pi\) | |||||||
\(20\) | 47311.7 | − | 34374.0i | 1.32240 | − | 0.960782i | ||||
\(21\) | 1219.84 | + | 3754.28i | 0.0287432 | + | 0.0884624i | ||||
\(22\) | −19184.7 | − | 13938.5i | −0.384127 | − | 0.279084i | ||||
\(23\) | 80386.2 | + | 58404.0i | 1.37763 | + | 1.00091i | 0.997097 | + | 0.0761447i | \(0.0242611\pi\) |
0.380538 | + | 0.924765i | \(0.375739\pi\) | |||||||
\(24\) | −52200.2 | + | 37925.6i | −0.770784 | + | 0.560007i | ||||
\(25\) | −33487.5 | −0.428640 | ||||||||
\(26\) | −41928.0 | −0.467840 | ||||||||
\(27\) | −68167.7 | + | 49526.7i | −0.666508 | + | 0.484246i | ||||
\(28\) | −15666.1 | + | 48215.4i | −0.134868 | + | 0.415081i | ||||
\(29\) | 58290.5 | + | 179400.i | 0.443818 | + | 1.36593i | 0.883775 | + | 0.467912i | \(0.154994\pi\) |
−0.439957 | + | 0.898019i | \(0.645006\pi\) | |||||||
\(30\) | −91615.8 | −0.619507 | ||||||||
\(31\) | 164087. | + | 24248.0i | 0.989257 | + | 0.146188i | ||||
\(32\) | −115818. | −0.624817 | ||||||||
\(33\) | 7849.86 | + | 24159.4i | 0.0380245 | + | 0.117027i | ||||
\(34\) | 36614.6 | − | 112688.i | 0.159764 | − | 0.491702i | ||||
\(35\) | −31305.9 | + | 22745.0i | −0.123421 | + | 0.0896703i | ||||
\(36\) | −476777. | −1.70317 | ||||||||
\(37\) | 223946. | 0.726836 | 0.363418 | − | 0.931626i | \(-0.381610\pi\) | ||||
0.363418 | + | 0.931626i | \(0.381610\pi\) | |||||||
\(38\) | 22883.9 | − | 16626.1i | 0.0676531 | − | 0.0491529i | ||||
\(39\) | 36336.7 | + | 26400.1i | 0.0980887 | + | 0.0712656i | ||||
\(40\) | −511705. | − | 371776.i | −1.26418 | − | 0.918483i | ||||
\(41\) | 68470.1 | + | 210729.i | 0.155152 | + | 0.477509i | 0.998176 | − | 0.0603667i | \(-0.0192270\pi\) |
−0.843024 | + | 0.537876i | \(0.819227\pi\) | |||||||
\(42\) | 64253.4 | − | 46682.9i | 0.133821 | − | 0.0972266i | ||||
\(43\) | −185193. | − | 569967.i | −0.355211 | − | 1.09323i | −0.955887 | − | 0.293734i | \(-0.905102\pi\) |
0.600677 | − | 0.799492i | \(-0.294898\pi\) | |||||||
\(44\) | −100814. | + | 310274.i | −0.178417 | + | 0.549112i | ||||
\(45\) | −294416. | − | 213906.i | −0.481635 | − | 0.349928i | ||||
\(46\) | 617767. | − | 1.90129e6i | 0.935777 | − | 2.88003i | ||||
\(47\) | −224974. | + | 692399.i | −0.316075 | + | 0.972778i | 0.659235 | + | 0.751937i | \(0.270880\pi\) |
−0.975310 | + | 0.220841i | \(0.929120\pi\) | |||||||
\(48\) | 432469. | + | 314207.i | 0.564431 | + | 0.410083i | ||||
\(49\) | −244123. | + | 751332.i | −0.296430 | + | 0.912317i | ||||
\(50\) | 208201. | + | 640778.i | 0.235553 | + | 0.724958i | ||||
\(51\) | −102686. | + | 74606.1i | −0.108397 | + | 0.0787551i | ||||
\(52\) | 178250. | + | 548597.i | 0.175799 | + | 0.541055i | ||||
\(53\) | 672133. | + | 488333.i | 0.620140 | + | 0.450558i | 0.852970 | − | 0.521959i | \(-0.174799\pi\) |
−0.232831 | + | 0.972517i | \(0.574799\pi\) | |||||||
\(54\) | 1.37150e6 | + | 996456.i | 1.18527 | + | 0.861152i | ||||
\(55\) | −201458. | + | 146368.i | −0.163274 | + | 0.118625i | ||||
\(56\) | 548316. | 0.417227 | ||||||||
\(57\) | −30300.9 | −0.0216718 | ||||||||
\(58\) | 3.07038e6 | − | 2.23076e6i | 2.06630 | − | 1.50126i | ||||
\(59\) | −142027. | + | 437115.i | −0.0900306 | + | 0.277086i | −0.985927 | − | 0.167178i | \(-0.946535\pi\) |
0.895896 | + | 0.444263i | \(0.146535\pi\) | |||||||
\(60\) | 389489. | + | 1.19872e6i | 0.232791 | + | 0.716457i | ||||
\(61\) | −1.67382e6 | −0.944178 | −0.472089 | − | 0.881551i | \(-0.656500\pi\) | ||||
−0.472089 | + | 0.881551i | \(0.656500\pi\) | |||||||
\(62\) | −556196. | − | 3.29054e6i | −0.296385 | − | 1.75346i | ||||
\(63\) | 315481. | 0.158957 | ||||||||
\(64\) | −260966. | − | 803171.i | −0.124438 | − | 0.382982i | ||||
\(65\) | −136056. | + | 418738.i | −0.0614499 | + | 0.189123i | ||||
\(66\) | 413481. | − | 300412.i | 0.177032 | − | 0.128621i | ||||
\(67\) | −2.44495e6 | −0.993136 | −0.496568 | − | 0.867998i | \(-0.665407\pi\) | ||||
−0.496568 | + | 0.867998i | \(0.665407\pi\) | |||||||
\(68\) | −1.63010e6 | −0.628686 | ||||||||
\(69\) | −1.73254e6 | + | 1.25876e6i | −0.634909 | + | 0.461288i | ||||
\(70\) | 629861. | + | 457620.i | 0.219483 | + | 0.159464i | ||||
\(71\) | −4.23002e6 | − | 3.07329e6i | −1.40261 | − | 1.01906i | −0.994345 | − | 0.106195i | \(-0.966133\pi\) |
−0.408267 | − | 0.912862i | \(-0.633867\pi\) | |||||||
\(72\) | 1.59349e6 | + | 4.90426e6i | 0.503136 | + | 1.54849i | ||||
\(73\) | 4.30549e6 | − | 3.12812e6i | 1.29537 | − | 0.941139i | 0.295468 | − | 0.955353i | \(-0.404524\pi\) |
0.999899 | + | 0.0142131i | \(0.00452432\pi\) | |||||||
\(74\) | −1.39233e6 | − | 4.28516e6i | −0.399422 | − | 1.22930i | ||||
\(75\) | 223032. | − | 686422.i | 0.0610453 | − | 0.187878i | ||||
\(76\) | −314828. | − | 228736.i | −0.0822670 | − | 0.0597704i | ||||
\(77\) | 66708.1 | − | 205306.i | 0.0166518 | − | 0.0512489i | ||||
\(78\) | 279247. | − | 859434.i | 0.0666281 | − | 0.205060i | ||||
\(79\) | 1.53114e6 | + | 1.11244e6i | 0.349398 | + | 0.253852i | 0.748616 | − | 0.663003i | \(-0.230719\pi\) |
−0.399219 | + | 0.916856i | \(0.630719\pi\) | |||||||
\(80\) | −1.61930e6 | + | 4.98370e6i | −0.353601 | + | 1.08827i | ||||
\(81\) | 602903. | + | 1.85555e6i | 0.126052 | + | 0.387949i | ||||
\(82\) | 3.60657e6 | − | 2.62033e6i | 0.722348 | − | 0.524816i | ||||
\(83\) | 2.12511e6 | + | 6.54043e6i | 0.407952 | + | 1.25555i | 0.918405 | + | 0.395641i | \(0.129478\pi\) |
−0.510453 | + | 0.859905i | \(0.670522\pi\) | |||||||
\(84\) | −883973. | − | 642244.i | −0.162728 | − | 0.118229i | ||||
\(85\) | −1.00661e6 | − | 731345.i | −0.177785 | − | 0.129168i | ||||
\(86\) | −9.75482e6 | + | 7.08729e6i | −1.65377 | + | 1.20153i | ||||
\(87\) | −4.06553e6 | −0.661911 | ||||||||
\(88\) | 3.52850e6 | 0.551951 | ||||||||
\(89\) | 1.14069e6 | − | 828763.i | 0.171516 | − | 0.124614i | −0.498716 | − | 0.866766i | \(-0.666195\pi\) |
0.670232 | + | 0.742152i | \(0.266195\pi\) | |||||||
\(90\) | −2.26259e6 | + | 6.96353e6i | −0.327157 | + | 1.00689i | ||||
\(91\) | −117947. | − | 363003.i | −0.0164075 | − | 0.0504970i | ||||
\(92\) | −2.75033e7 | −3.68237 | ||||||||
\(93\) | −1.58988e6 | + | 3.20194e6i | −0.204962 | + | 0.412784i | ||||
\(94\) | 1.46477e7 | 1.81895 | ||||||||
\(95\) | −91788.1 | − | 282495.i | −0.0109838 | − | 0.0338048i | ||||
\(96\) | 771369. | − | 2.37403e6i | 0.0889842 | − | 0.273865i | ||||
\(97\) | 2.19560e6 | − | 1.59520e6i | 0.244260 | − | 0.177465i | −0.458919 | − | 0.888478i | \(-0.651763\pi\) |
0.703179 | + | 0.711013i | \(0.251763\pi\) | |||||||
\(98\) | 1.58944e7 | 1.70590 | ||||||||
\(99\) | 2.03017e6 | 0.210285 | ||||||||
\(100\) | 7.49897e6 | − | 5.44832e6i | 0.749897 | − | 0.544832i | ||||
\(101\) | −1.07179e7 | − | 7.78700e6i | −1.03510 | − | 0.752048i | −0.0657809 | − | 0.997834i | \(-0.520954\pi\) |
−0.969324 | + | 0.245786i | \(0.920954\pi\) | |||||||
\(102\) | 2.06601e6 | + | 1.50104e6i | 0.192766 | + | 0.140053i | ||||
\(103\) | 4.66059e6 | + | 1.43438e7i | 0.420253 | + | 1.29341i | 0.907467 | + | 0.420124i | \(0.138013\pi\) |
−0.487214 | + | 0.873283i | \(0.661987\pi\) | |||||||
\(104\) | 5.04726e6 | − | 3.66705e6i | 0.439986 | − | 0.319669i | ||||
\(105\) | −257723. | − | 793188.i | −0.0217265 | − | 0.0668673i | ||||
\(106\) | 5.16533e6 | − | 1.58973e7i | 0.421238 | − | 1.29644i | ||||
\(107\) | 1.77832e7 | + | 1.29202e7i | 1.40335 | + | 1.01959i | 0.994248 | + | 0.107106i | \(0.0341583\pi\) |
0.409103 | + | 0.912488i | \(0.365842\pi\) | |||||||
\(108\) | 7.20717e6 | − | 2.21814e7i | 0.550530 | − | 1.69436i | ||||
\(109\) | 3.68776e6 | − | 1.13498e7i | 0.272753 | − | 0.839448i | −0.717052 | − | 0.697020i | \(-0.754509\pi\) |
0.989805 | − | 0.142428i | \(-0.0454911\pi\) | |||||||
\(110\) | 4.05325e6 | + | 2.94486e6i | 0.290355 | + | 0.210955i | ||||
\(111\) | −1.49151e6 | + | 4.59040e6i | −0.103513 | + | 0.318581i | ||||
\(112\) | −1.40377e6 | − | 4.32036e6i | −0.0944133 | − | 0.290574i | ||||
\(113\) | 7.24946e6 | − | 5.26704e6i | 0.472641 | − | 0.343394i | −0.325829 | − | 0.945429i | \(-0.605643\pi\) |
0.798470 | + | 0.602035i | \(0.205643\pi\) | |||||||
\(114\) | 188390. | + | 579804.i | 0.0119094 | + | 0.0366534i | ||||
\(115\) | −1.69837e7 | − | 1.23394e7i | −1.04133 | − | 0.756571i | ||||
\(116\) | −4.22410e7 | − | 3.06899e7i | −2.51265 | − | 1.82554i | ||||
\(117\) | 2.90401e6 | − | 2.10988e6i | 0.167628 | − | 0.121789i | ||||
\(118\) | 9.24716e6 | 0.518109 | ||||||||
\(119\) | 1.07863e6 | 0.0586756 | ||||||||
\(120\) | 1.10286e7 | − | 8.01277e6i | 0.582623 | − | 0.423300i | ||||
\(121\) | −5.59259e6 | + | 1.72122e7i | −0.286988 | + | 0.883259i | ||||
\(122\) | 1.04066e7 | + | 3.20283e7i | 0.518860 | + | 1.59689i | ||||
\(123\) | −4.77552e6 | −0.231394 | ||||||||
\(124\) | −4.06897e7 | + | 2.12666e7i | −1.91650 | + | 1.00166i | ||||
\(125\) | 2.35810e7 | 1.07989 | ||||||||
\(126\) | −1.96143e6 | − | 6.03667e6i | −0.0873528 | − | 0.268844i | ||||
\(127\) | −3.61377e6 | + | 1.11220e7i | −0.156548 | + | 0.481805i | −0.998314 | − | 0.0580368i | \(-0.981516\pi\) |
0.841767 | + | 0.539842i | \(0.181516\pi\) | |||||||
\(128\) | −2.57395e7 | + | 1.87009e7i | −1.08484 | + | 0.788183i | ||||
\(129\) | 1.29165e7 | 0.529762 | ||||||||
\(130\) | 8.85838e6 | 0.353633 | ||||||||
\(131\) | 2.11623e7 | − | 1.53753e7i | 0.822457 | − | 0.597550i | −0.0949584 | − | 0.995481i | \(-0.530272\pi\) |
0.917415 | + | 0.397931i | \(0.130272\pi\) | |||||||
\(132\) | −5.68851e6 | − | 4.13294e6i | −0.215273 | − | 0.156405i | ||||
\(133\) | 208320. | + | 151353.i | 0.00767802 | + | 0.00557841i | ||||
\(134\) | 1.52010e7 | + | 4.67838e7i | 0.545764 | + | 1.67969i | ||||
\(135\) | 1.44022e7 | − | 1.04638e7i | 0.503802 | − | 0.366034i | ||||
\(136\) | 5.44814e6 | + | 1.67677e7i | 0.185722 | + | 0.571592i | ||||
\(137\) | 4.17014e6 | − | 1.28344e7i | 0.138557 | − | 0.426435i | −0.857569 | − | 0.514369i | \(-0.828026\pi\) |
0.996126 | + | 0.0879335i | \(0.0280263\pi\) | |||||||
\(138\) | 3.48580e7 | + | 2.53258e7i | 1.12908 | + | 0.820325i | ||||
\(139\) | −4.61307e6 | + | 1.41976e7i | −0.145693 | + | 0.448397i | −0.997099 | − | 0.0761096i | \(-0.975750\pi\) |
0.851407 | + | 0.524506i | \(0.175750\pi\) | |||||||
\(140\) | 3.30988e6 | − | 1.01868e7i | 0.101944 | − | 0.313753i | ||||
\(141\) | −1.26943e7 | − | 9.22296e6i | −0.381366 | − | 0.277079i | ||||
\(142\) | −3.25076e7 | + | 1.00048e8i | −0.952744 | + | 2.93224i | ||||
\(143\) | −759007. | − | 2.33598e6i | −0.0217055 | − | 0.0668026i | ||||
\(144\) | 3.45627e7 | − | 2.51113e7i | 0.964582 | − | 0.700809i | ||||
\(145\) | −1.23154e7 | − | 3.79028e7i | −0.335475 | − | 1.03248i | ||||
\(146\) | −8.66247e7 | − | 6.29365e7i | −2.30360 | − | 1.67366i | ||||
\(147\) | −1.37748e7 | − | 1.00080e7i | −0.357663 | − | 0.259858i | ||||
\(148\) | −5.01489e7 | + | 3.64353e7i | −1.27159 | + | 0.923861i | ||||
\(149\) | −2.78420e7 | −0.689523 | −0.344761 | − | 0.938690i | \(-0.612040\pi\) | ||||
−0.344761 | + | 0.938690i | \(0.612040\pi\) | |||||||
\(150\) | −1.45212e7 | −0.351305 | ||||||||
\(151\) | 3.62966e7 | − | 2.63711e7i | 0.857921 | − | 0.623316i | −0.0693978 | − | 0.997589i | \(-0.522108\pi\) |
0.927318 | + | 0.374273i | \(0.122108\pi\) | |||||||
\(152\) | −1.30062e6 | + | 4.00288e6i | −0.0300398 | + | 0.0924529i | ||||
\(153\) | 3.13466e6 | + | 9.64749e6i | 0.0707572 | + | 0.217768i | ||||
\(154\) | −4.34325e6 | −0.0958279 | ||||||||
\(155\) | −3.46677e7 | − | 5.12302e6i | −0.747763 | − | 0.110501i | ||||
\(156\) | −1.24322e7 | −0.262188 | ||||||||
\(157\) | −2.39356e7 | − | 7.36661e7i | −0.493623 | − | 1.51921i | −0.819092 | − | 0.573662i | \(-0.805522\pi\) |
0.325469 | − | 0.945553i | \(-0.394478\pi\) | |||||||
\(158\) | 1.17668e7 | − | 3.62145e7i | 0.237333 | − | 0.730436i | ||||
\(159\) | −1.44863e7 | + | 1.05249e7i | −0.285803 | + | 0.207648i | ||||
\(160\) | 2.44696e7 | 0.472289 | ||||||||
\(161\) | 1.81988e7 | 0.343678 | ||||||||
\(162\) | 3.17572e7 | − | 2.30729e7i | 0.586866 | − | 0.426383i | ||||
\(163\) | 7.27643e6 | + | 5.28664e6i | 0.131602 | + | 0.0956143i | 0.651639 | − | 0.758529i | \(-0.274082\pi\) |
−0.520037 | + | 0.854144i | \(0.674082\pi\) | |||||||
\(164\) | −4.96178e7 | − | 3.60494e7i | −0.878383 | − | 0.638183i | ||||
\(165\) | −1.65849e6 | − | 5.10430e6i | −0.0287421 | − | 0.0884590i | ||||
\(166\) | 1.11938e8 | − | 8.13274e7i | 1.89932 | − | 1.37994i | ||||
\(167\) | 2.05627e6 | + | 6.32856e6i | 0.0341643 | + | 0.105147i | 0.966684 | − | 0.255971i | \(-0.0823952\pi\) |
−0.932520 | + | 0.361118i | \(0.882395\pi\) | |||||||
\(168\) | −3.65187e6 | + | 1.12393e7i | −0.0594200 | + | 0.182876i | ||||
\(169\) | 4.72512e7 | + | 3.43300e7i | 0.753025 | + | 0.547105i | ||||
\(170\) | −7.73579e6 | + | 2.38083e7i | −0.120763 | + | 0.371670i | ||||
\(171\) | −748326. | + | 2.30311e6i | −0.0114447 | + | 0.0352232i | ||||
\(172\) | 1.34203e8 | + | 9.75041e7i | 2.01100 | + | 1.46108i | ||||
\(173\) | 367321. | − | 1.13050e6i | 0.00539367 | − | 0.0166000i | −0.948323 | − | 0.317305i | \(-0.897222\pi\) |
0.953717 | + | 0.300705i | \(0.0972220\pi\) | |||||||
\(174\) | 2.52766e7 | + | 7.77933e7i | 0.363744 | + | 1.11949i | ||||
\(175\) | −4.96202e6 | + | 3.60512e6i | −0.0699883 | + | 0.0508495i | ||||
\(176\) | −9.03349e6 | − | 2.78022e7i | −0.124900 | − | 0.384402i | ||||
\(177\) | −8.01400e6 | − | 5.82251e6i | −0.108628 | − | 0.0789230i | ||||
\(178\) | −2.29503e7 | − | 1.66744e7i | −0.305013 | − | 0.221605i | ||||
\(179\) | 8.28829e6 | − | 6.02179e6i | 0.108014 | − | 0.0784766i | −0.532467 | − | 0.846451i | \(-0.678735\pi\) |
0.640481 | + | 0.767974i | \(0.278735\pi\) | |||||||
\(180\) | 1.00732e8 | 1.28739 | ||||||||
\(181\) | −9.83114e7 | −1.23234 | −0.616168 | − | 0.787615i | \(-0.711316\pi\) | ||||
−0.616168 | + | 0.787615i | \(0.711316\pi\) | |||||||
\(182\) | −6.21270e6 | + | 4.51379e6i | −0.0763889 | + | 0.0554998i | ||||
\(183\) | 1.11479e7 | − | 3.43097e7i | 0.134466 | − | 0.413845i | ||||
\(184\) | 9.19218e7 | + | 2.82906e8i | 1.08782 | + | 3.34796i | ||||
\(185\) | −4.73143e7 | −0.549404 | ||||||||
\(186\) | 7.11534e7 | + | 1.05147e7i | 0.810775 | + | 0.119812i | ||||
\(187\) | 6.94115e6 | 0.0776222 | ||||||||
\(188\) | −6.22721e7 | − | 1.91654e8i | −0.683504 | − | 2.10361i | ||||
\(189\) | −4.76894e6 | + | 1.46773e7i | −0.0513813 | + | 0.158135i | ||||
\(190\) | −4.83482e6 | + | 3.51270e6i | −0.0511379 | + | 0.0371538i | ||||
\(191\) | 3.82158e6 | 0.0396850 | 0.0198425 | − | 0.999803i | \(-0.493684\pi\) | ||||
0.0198425 | + | 0.999803i | \(0.493684\pi\) | |||||||
\(192\) | 1.82013e7 | 0.185588 | ||||||||
\(193\) | −2.07695e7 | + | 1.50899e7i | −0.207958 | + | 0.151090i | −0.686889 | − | 0.726762i | \(-0.741024\pi\) |
0.478932 | + | 0.877852i | \(0.341024\pi\) | |||||||
\(194\) | −4.41745e7 | − | 3.20947e7i | −0.434376 | − | 0.315593i | ||||
\(195\) | −7.67706e6 | − | 5.57771e6i | −0.0741436 | − | 0.0538685i | ||||
\(196\) | −6.75724e7 | − | 2.07966e8i | −0.641022 | − | 1.97286i | ||||
\(197\) | −1.44693e7 | + | 1.05125e7i | −0.134839 | + | 0.0979661i | −0.653160 | − | 0.757220i | \(-0.726557\pi\) |
0.518321 | + | 0.855186i | \(0.326557\pi\) | |||||||
\(198\) | −1.26221e7 | − | 3.88470e7i | −0.115559 | − | 0.355655i | ||||
\(199\) | −3.71920e7 | + | 1.14465e8i | −0.334552 | + | 1.02965i | 0.632390 | + | 0.774650i | \(0.282074\pi\) |
−0.966942 | + | 0.254996i | \(0.917926\pi\) | |||||||
\(200\) | −8.11060e7 | − | 5.89269e7i | −0.716882 | − | 0.520845i | ||||
\(201\) | 1.62838e7 | − | 5.01163e7i | 0.141439 | − | 0.435304i | ||||
\(202\) | −8.23669e7 | + | 2.53499e8i | −0.703109 | + | 2.16395i | ||||
\(203\) | 2.79506e7 | + | 2.03073e7i | 0.234507 | + | 0.170379i | ||||
\(204\) | 1.08567e7 | − | 3.34136e7i | 0.0895351 | − | 0.275561i | ||||
\(205\) | −1.44661e7 | − | 4.45220e7i | −0.117277 | − | 0.360941i | ||||
\(206\) | 2.45491e8 | − | 1.78360e8i | 1.95659 | − | 1.42155i | ||||
\(207\) | 5.28884e7 | + | 1.62774e8i | 0.414443 | + | 1.27552i | ||||
\(208\) | −4.18157e7 | − | 3.03809e7i | −0.322194 | − | 0.234088i | ||||
\(209\) | 1.34057e6 | + | 973981.i | 0.0101573 | + | 0.00737970i | ||||
\(210\) | −1.35752e7 | + | 9.86296e6i | −0.101153 | + | 0.0734920i | ||||
\(211\) | 1.58790e8 | 1.16368 | 0.581840 | − | 0.813303i | \(-0.302333\pi\) | ||||
0.581840 | + | 0.813303i | \(0.302333\pi\) | |||||||
\(212\) | −2.29963e8 | −1.65761 | ||||||||
\(213\) | 9.11683e7 | − | 6.62376e7i | 0.646421 | − | 0.469652i | ||||
\(214\) | 1.36664e8 | − | 4.20607e8i | 0.953245 | − | 2.93379i | ||||
\(215\) | 3.91269e7 | + | 1.20420e8i | 0.268498 | + | 0.826351i | ||||
\(216\) | −2.52251e8 | −1.70312 | ||||||||
\(217\) | 2.69241e7 | − | 1.40720e7i | 0.178868 | − | 0.0934859i | ||||
\(218\) | −2.40104e8 | −1.56964 | ||||||||
\(219\) | 3.54446e7 | + | 1.09087e8i | 0.228032 | + | 0.701809i | ||||
\(220\) | 2.12996e7 | − | 6.55534e7i | 0.134863 | − | 0.415065i | ||||
\(221\) | 9.92880e6 | − | 7.21370e6i | 0.0618763 | − | 0.0449557i | ||||
\(222\) | 9.71098e7 | 0.595700 | ||||||||
\(223\) | −2.46688e8 | −1.48964 | −0.744820 | − | 0.667265i | \(-0.767465\pi\) | ||||
−0.744820 | + | 0.667265i | \(0.767465\pi\) | |||||||
\(224\) | −1.71614e7 | + | 1.24685e7i | −0.102020 | + | 0.0741219i | ||||
\(225\) | −4.66654e7 | − | 3.39044e7i | −0.273122 | − | 0.198434i | ||||
\(226\) | −1.45856e8 | − | 1.05971e8i | −0.840514 | − | 0.610669i | ||||
\(227\) | 8.36571e7 | + | 2.57470e8i | 0.474692 | + | 1.46095i | 0.846372 | + | 0.532592i | \(0.178782\pi\) |
−0.371680 | + | 0.928361i | \(0.621218\pi\) | |||||||
\(228\) | 6.78539e6 | − | 4.92987e6i | 0.0379143 | − | 0.0275463i | ||||
\(229\) | −2.63714e7 | − | 8.11628e7i | −0.145114 | − | 0.446615i | 0.851912 | − | 0.523685i | \(-0.175443\pi\) |
−0.997026 | + | 0.0770708i | \(0.975443\pi\) | |||||||
\(230\) | −1.30519e8 | + | 4.01697e8i | −0.707338 | + | 2.17696i | ||||
\(231\) | 3.76405e6 | + | 2.73474e6i | 0.0200916 | + | 0.0145974i | ||||
\(232\) | −1.74506e8 | + | 5.37074e8i | −0.917492 | + | 2.82375i | ||||
\(233\) | −1.13800e8 | + | 3.50239e8i | −0.589379 | + | 1.81392i | −0.00845573 | + | 0.999964i | \(0.502692\pi\) |
−0.580923 | + | 0.813958i | \(0.697308\pi\) | |||||||
\(234\) | −5.84274e7 | − | 4.24500e7i | −0.298099 | − | 0.216582i | ||||
\(235\) | 4.75316e7 | − | 1.46287e8i | 0.238916 | − | 0.735307i | ||||
\(236\) | −3.93127e7 | − | 1.20992e8i | −0.194689 | − | 0.599191i | ||||
\(237\) | −3.30002e7 | + | 2.39761e7i | −0.161027 | + | 0.116993i | ||||
\(238\) | −6.70614e6 | − | 2.06394e7i | −0.0322443 | − | 0.0992379i | ||||
\(239\) | 1.77451e8 | + | 1.28925e8i | 0.840785 | + | 0.610866i | 0.922590 | − | 0.385782i | \(-0.126068\pi\) |
−0.0818050 | + | 0.996648i | \(0.526068\pi\) | |||||||
\(240\) | −9.13703e7 | − | 6.63844e7i | −0.426644 | − | 0.309975i | ||||
\(241\) | 2.99615e8 | − | 2.17683e8i | 1.37881 | − | 1.00176i | 0.381820 | − | 0.924237i | \(-0.375297\pi\) |
0.996990 | − | 0.0775279i | \(-0.0247027\pi\) | |||||||
\(242\) | 3.64124e8 | 1.65156 | ||||||||
\(243\) | −2.26327e8 | −1.01184 | ||||||||
\(244\) | 3.74824e8 | − | 2.72326e8i | 1.65182 | − | 1.20012i | ||||
\(245\) | 5.15772e7 | − | 1.58738e8i | 0.224066 | − | 0.689605i | ||||
\(246\) | 2.96908e7 | + | 9.13788e7i | 0.127159 | + | 0.391356i | ||||
\(247\) | 2.92981e6 | 0.0123709 | ||||||||
\(248\) | 3.54747e8 | + | 3.47468e8i | 1.47686 | + | 1.44655i | ||||
\(249\) | −1.48218e8 | −0.608421 | ||||||||
\(250\) | −1.46610e8 | − | 4.51219e8i | −0.593436 | − | 1.82641i | ||||
\(251\) | −3.27237e6 | + | 1.00713e7i | −0.0130618 | + | 0.0402002i | −0.957375 | − | 0.288848i | \(-0.906728\pi\) |
0.944313 | + | 0.329048i | \(0.106728\pi\) | |||||||
\(252\) | −7.06466e7 | + | 5.13278e7i | −0.278093 | + | 0.202046i | ||||
\(253\) | 1.17112e8 | 0.454653 | ||||||||
\(254\) | 2.35286e8 | 0.900904 | ||||||||
\(255\) | 2.16952e7 | − | 1.57625e7i | 0.0819356 | − | 0.0595297i | ||||
\(256\) | 4.30416e8 | + | 3.12716e8i | 1.60343 | + | 1.16496i | ||||
\(257\) | 4.49710e7 | + | 3.26734e7i | 0.165260 | + | 0.120068i | 0.667341 | − | 0.744752i | \(-0.267432\pi\) |
−0.502082 | + | 0.864820i | \(0.667432\pi\) | |||||||
\(258\) | −8.03056e7 | − | 2.47155e8i | −0.291123 | − | 0.895985i | ||||
\(259\) | 3.31832e7 | − | 2.41090e7i | 0.118678 | − | 0.0862244i | ||||
\(260\) | −3.76599e7 | − | 1.15905e8i | −0.132884 | − | 0.408975i | ||||
\(261\) | −1.00404e8 | + | 3.09012e8i | −0.349551 | + | 1.07581i | ||||
\(262\) | −4.25776e8 | − | 3.09344e8i | −1.46260 | − | 1.06264i | ||||
\(263\) | −1.35488e8 | + | 4.16990e8i | −0.459258 | + | 1.41345i | 0.406804 | + | 0.913516i | \(0.366643\pi\) |
−0.866062 | + | 0.499936i | \(0.833357\pi\) | |||||||
\(264\) | −2.35003e7 | + | 7.23266e7i | −0.0786069 | + | 0.241927i | ||||
\(265\) | −1.42005e8 | − | 1.03173e8i | −0.468753 | − | 0.340569i | ||||
\(266\) | 1.60093e6 | − | 4.92717e6i | 0.00521540 | − | 0.0160514i | ||||
\(267\) | 9.39066e6 | + | 2.89015e7i | 0.0301930 | + | 0.0929246i | ||||
\(268\) | 5.47507e8 | − | 3.97787e8i | 1.73747 | − | 1.26235i | ||||
\(269\) | −1.60370e8 | − | 4.93568e8i | −0.502331 | − | 1.54601i | −0.805212 | − | 0.592987i | \(-0.797949\pi\) |
0.302882 | − | 0.953028i | \(-0.402051\pi\) | |||||||
\(270\) | −2.89766e8 | − | 2.10527e8i | −0.895930 | − | 0.650931i | ||||
\(271\) | −1.67017e8 | − | 1.21345e8i | −0.509761 | − | 0.370363i | 0.302972 | − | 0.953000i | \(-0.402021\pi\) |
−0.812733 | + | 0.582636i | \(0.802021\pi\) | |||||||
\(272\) | 1.18170e8 | − | 8.58555e7i | 0.356054 | − | 0.258688i | ||||
\(273\) | 8.22632e6 | 0.0244701 | ||||||||
\(274\) | −2.71511e8 | −0.797371 | ||||||||
\(275\) | −3.19314e7 | + | 2.31995e7i | −0.0925878 | + | 0.0672690i | ||||
\(276\) | 1.83176e8 | − | 5.63759e8i | 0.524430 | − | 1.61403i | ||||
\(277\) | −1.21788e8 | − | 3.74824e8i | −0.344290 | − | 1.05961i | −0.961963 | − | 0.273180i | \(-0.911925\pi\) |
0.617673 | − | 0.786435i | \(-0.288075\pi\) | |||||||
\(278\) | 3.00349e8 | 0.838436 | ||||||||
\(279\) | 2.04108e8 | + | 1.99920e8i | 0.562660 | + | 0.551114i | ||||
\(280\) | −1.15846e8 | −0.315375 | ||||||||
\(281\) | −1.52869e8 | − | 4.70481e8i | −0.411004 | − | 1.26494i | −0.915776 | − | 0.401688i | \(-0.868423\pi\) |
0.504772 | − | 0.863253i | \(-0.331577\pi\) | |||||||
\(282\) | −9.75557e7 | + | 3.00246e8i | −0.259048 | + | 0.797269i | ||||
\(283\) | −1.64239e8 | + | 1.19327e8i | −0.430750 | + | 0.312958i | −0.781949 | − | 0.623343i | \(-0.785774\pi\) |
0.351199 | + | 0.936301i | \(0.385774\pi\) | |||||||
\(284\) | 1.44726e9 | 3.74914 | ||||||||
\(285\) | 6.40186e6 | 0.0163813 | ||||||||
\(286\) | −3.99797e7 | + | 2.90470e7i | −0.101055 | + | 0.0734209i | ||||
\(287\) | 3.28318e7 | + | 2.38537e7i | 0.0819800 | + | 0.0595620i | ||||
\(288\) | −1.61395e8 | − | 1.17260e8i | −0.398122 | − | 0.289253i | ||||
\(289\) | −1.16084e8 | − | 3.57270e8i | −0.282899 | − | 0.870672i | ||||
\(290\) | −6.48696e8 | + | 4.71305e8i | −1.56188 | + | 1.13477i | ||||
\(291\) | 1.80751e7 | + | 5.56293e7i | 0.0429986 | + | 0.132336i | ||||
\(292\) | −4.55207e8 | + | 1.40098e9i | −1.06996 | + | 3.29301i | ||||
\(293\) | 5.69304e7 | + | 4.13623e7i | 0.132223 | + | 0.0960657i | 0.651931 | − | 0.758278i | \(-0.273959\pi\) |
−0.519708 | + | 0.854344i | \(0.673959\pi\) | |||||||
\(294\) | −1.05859e8 | + | 3.25801e8i | −0.242948 | + | 0.747716i | ||||
\(295\) | 3.00070e7 | − | 9.23519e7i | 0.0680526 | − | 0.209444i | ||||
\(296\) | 5.42391e8 | + | 3.94070e8i | 1.21560 | + | 0.883187i | ||||
\(297\) | −3.06889e7 | + | 9.44507e7i | −0.0679725 | + | 0.209198i | ||||
\(298\) | 1.73102e8 | + | 5.32753e8i | 0.378918 | + | 1.16619i | ||||
\(299\) | 1.67520e8 | − | 1.21711e8i | 0.362425 | − | 0.263317i | ||||
\(300\) | 6.17345e7 | + | 1.89999e8i | 0.132009 | + | 0.406282i | ||||
\(301\) | −8.88012e7 | − | 6.45179e7i | −0.187688 | − | 0.136363i | ||||
\(302\) | −7.30273e8 | − | 5.30574e8i | −1.52567 | − | 1.10846i | ||||
\(303\) | 2.31000e8 | − | 1.67831e8i | 0.477048 | − | 0.346595i | ||||
\(304\) | 3.48698e7 | 0.0711856 | ||||||||
\(305\) | 3.53638e8 | 0.713689 | ||||||||
\(306\) | 1.65114e8 | − | 1.19962e8i | 0.329427 | − | 0.239343i | ||||
\(307\) | −4.95768e7 | + | 1.52582e8i | −0.0977899 | + | 0.300966i | −0.987971 | − | 0.154641i | \(-0.950578\pi\) |
0.890181 | + | 0.455607i | \(0.150578\pi\) | |||||||
\(308\) | 1.84646e7 | + | 5.68282e7i | 0.0360091 | + | 0.110825i | ||||
\(309\) | −3.25058e8 | −0.626767 | ||||||||
\(310\) | 1.17511e8 | + | 6.95212e8i | 0.224033 | + | 1.32541i | ||||
\(311\) | −8.70121e8 | −1.64028 | −0.820141 | − | 0.572162i | \(-0.806105\pi\) | ||||
−0.820141 | + | 0.572162i | \(0.806105\pi\) | |||||||
\(312\) | 4.15511e7 | + | 1.27881e8i | 0.0774535 | + | 0.238377i | ||||
\(313\) | 2.61829e8 | − | 8.05828e8i | 0.482629 | − | 1.48538i | −0.352757 | − | 0.935715i | \(-0.614756\pi\) |
0.835386 | − | 0.549664i | \(-0.185244\pi\) | |||||||
\(314\) | −1.26078e9 | + | 9.16007e8i | −2.29818 | + | 1.66973i | ||||
\(315\) | −6.66534e7 | −0.120153 | ||||||||
\(316\) | −5.23864e8 | −0.933928 | ||||||||
\(317\) | 7.58061e8 | − | 5.50763e8i | 1.33658 | − | 0.971086i | 0.337023 | − | 0.941496i | \(-0.390580\pi\) |
0.999562 | − | 0.0295893i | \(-0.00941996\pi\) | |||||||
\(318\) | 2.91458e8 | + | 2.11756e8i | 0.508254 | + | 0.369268i | ||||
\(319\) | 1.79867e8 | + | 1.30681e8i | 0.310230 | + | 0.225395i | ||||
\(320\) | 5.51358e7 | + | 1.69691e8i | 0.0940609 | + | 0.289490i | ||||
\(321\) | −3.83276e8 | + | 2.78466e8i | −0.646761 | + | 0.469899i | ||||
\(322\) | −1.13147e8 | − | 3.48231e8i | −0.188863 | − | 0.581261i | ||||
\(323\) | −2.55853e6 | + | 7.87434e6i | −0.00422456 | + | 0.0130019i | ||||
\(324\) | −4.36902e8 | − | 3.17428e8i | −0.713636 | − | 0.518487i | ||||
\(325\) | −2.15651e7 | + | 6.63705e7i | −0.0348465 | + | 0.107246i | ||||
\(326\) | 5.59193e7 | − | 1.72102e8i | 0.0893923 | − | 0.275121i | ||||
\(327\) | 2.08085e8 | + | 1.51182e8i | 0.329096 | + | 0.239102i | ||||
\(328\) | −2.04981e8 | + | 6.30866e8i | −0.320741 | + | 0.987140i | ||||
\(329\) | 4.12051e7 | + | 1.26816e8i | 0.0637918 | + | 0.196331i | ||||
\(330\) | −8.73586e7 | + | 6.34697e7i | −0.133816 | + | 0.0972228i | ||||
\(331\) | −3.85182e7 | − | 1.18547e8i | −0.0583805 | − | 0.179677i | 0.917614 | − | 0.397474i | \(-0.130113\pi\) |
−0.975994 | + | 0.217797i | \(0.930113\pi\) | |||||||
\(332\) | −1.53999e9 | − | 1.11887e9i | −2.30959 | − | 1.67802i | ||||
\(333\) | 3.12072e8 | + | 2.26733e8i | 0.463127 | + | 0.336481i | ||||
\(334\) | 1.08311e8 | − | 7.86929e7i | 0.159060 | − | 0.115564i | ||||
\(335\) | 5.16560e8 | 0.750695 | ||||||||
\(336\) | 9.79075e7 | 0.140808 | ||||||||
\(337\) | −1.19133e8 | + | 8.65555e7i | −0.169562 | + | 0.123194i | −0.669330 | − | 0.742965i | \(-0.733419\pi\) |
0.499768 | + | 0.866159i | \(0.333419\pi\) | |||||||
\(338\) | 3.63125e8 | − | 1.11758e9i | 0.511502 | − | 1.57424i | ||||
\(339\) | 5.96805e7 | + | 1.83678e8i | 0.0832019 | + | 0.256069i | ||||
\(340\) | 3.44401e8 | 0.475213 | ||||||||
\(341\) | 1.73261e8 | − | 9.05554e7i | 0.236625 | − | 0.123673i | ||||
\(342\) | 4.87222e7 | 0.0658621 | ||||||||
\(343\) | 9.13231e7 | + | 2.81063e8i | 0.122194 | + | 0.376075i | ||||
\(344\) | 5.54419e8 | − | 1.70633e9i | 0.734316 | − | 2.25999i | ||||
\(345\) | 3.66044e8 | − | 2.65946e8i | 0.479917 | − | 0.348680i | ||||
\(346\) | −2.39157e7 | −0.0310396 | ||||||||
\(347\) | 2.65592e8 | 0.341242 | 0.170621 | − | 0.985337i | \(-0.445423\pi\) | ||||
0.170621 | + | 0.985337i | \(0.445423\pi\) | |||||||
\(348\) | 9.10408e8 | − | 6.61450e8i | 1.15800 | − | 0.841336i | ||||
\(349\) | −5.62517e8 | − | 4.08692e8i | −0.708348 | − | 0.514645i | 0.174292 | − | 0.984694i | \(-0.444236\pi\) |
−0.882640 | + | 0.470049i | \(0.844236\pi\) | |||||||
\(350\) | 9.98337e7 | + | 7.25335e7i | 0.124463 | + | 0.0904274i | ||||
\(351\) | 5.42611e7 | + | 1.66999e8i | 0.0669752 | + | 0.206128i | ||||
\(352\) | −1.10437e8 | + | 8.02369e7i | −0.134963 | + | 0.0980562i | ||||
\(353\) | 1.70680e8 | + | 5.25299e8i | 0.206524 | + | 0.635617i | 0.999647 | + | 0.0265552i | \(0.00845378\pi\) |
−0.793123 | + | 0.609062i | \(0.791546\pi\) | |||||||
\(354\) | −6.15875e7 | + | 1.89547e8i | −0.0737872 | + | 0.227094i | ||||
\(355\) | 8.93700e8 | + | 6.49311e8i | 1.06021 | + | 0.770289i | ||||
\(356\) | −1.20602e8 | + | 3.71176e8i | −0.141671 | + | 0.436018i | ||||
\(357\) | −7.18383e6 | + | 2.21096e7i | −0.00835636 | + | 0.0257182i | ||||
\(358\) | −1.66757e8 | − | 1.21156e8i | −0.192085 | − | 0.139558i | ||||
\(359\) | 1.45537e8 | − | 4.47918e8i | 0.166014 | − | 0.510937i | −0.833096 | − | 0.553128i | \(-0.813434\pi\) |
0.999110 | + | 0.0421912i | \(0.0134339\pi\) | |||||||
\(360\) | −3.36666e8 | − | 1.03615e9i | −0.380312 | − | 1.17048i | ||||
\(361\) | 7.21558e8 | − | 5.24243e8i | 0.807228 | − | 0.586486i | ||||
\(362\) | 6.11230e8 | + | 1.88117e9i | 0.677212 | + | 2.08424i | ||||
\(363\) | −3.15566e8 | − | 2.29272e8i | −0.346272 | − | 0.251581i | ||||
\(364\) | 8.54718e7 | + | 6.20989e7i | 0.0928898 | + | 0.0674884i | ||||
\(365\) | −9.09647e8 | + | 6.60897e8i | −0.979147 | + | 0.711392i | ||||
\(366\) | −7.25820e8 | −0.773829 | ||||||||
\(367\) | −9.83894e8 | −1.03900 | −0.519502 | − | 0.854469i | \(-0.673882\pi\) | ||||
−0.519502 | + | 0.854469i | \(0.673882\pi\) | |||||||
\(368\) | 1.99378e9 | − | 1.44857e9i | 2.08550 | − | 1.51520i | ||||
\(369\) | −1.17938e8 | + | 3.62977e8i | −0.122198 | + | 0.376086i | ||||
\(370\) | 2.94167e8 | + | 9.05352e8i | 0.301917 | + | 0.929205i | ||||
\(371\) | 1.52165e8 | 0.154706 | ||||||||
\(372\) | −1.64920e8 | − | 9.75690e8i | −0.166101 | − | 0.982679i | ||||
\(373\) | 8.72973e8 | 0.871003 | 0.435502 | − | 0.900188i | \(-0.356571\pi\) | ||||
0.435502 | + | 0.900188i | \(0.356571\pi\) | |||||||
\(374\) | −4.31551e7 | − | 1.32818e8i | −0.0426562 | − | 0.131282i | ||||
\(375\) | −1.57053e8 | + | 4.83360e8i | −0.153793 | + | 0.473327i | ||||
\(376\) | −1.76327e9 | + | 1.28109e9i | −1.71066 | + | 1.24286i | ||||
\(377\) | 3.93098e8 | 0.377839 | ||||||||
\(378\) | 3.10497e8 | 0.295690 | ||||||||
\(379\) | −4.87508e8 | + | 3.54195e8i | −0.459986 | + | 0.334199i | −0.793526 | − | 0.608537i | \(-0.791757\pi\) |
0.333540 | + | 0.942736i | \(0.391757\pi\) | |||||||
\(380\) | 6.65155e7 | + | 4.83263e7i | 0.0621842 | + | 0.0451795i | ||||
\(381\) | −2.03909e8 | − | 1.48149e8i | −0.188886 | − | 0.137234i | ||||
\(382\) | −2.37599e7 | − | 7.31254e7i | −0.0218083 | − | 0.0671192i | ||||
\(383\) | 9.09667e8 | − | 6.60912e8i | 0.827345 | − | 0.601101i | −0.0914619 | − | 0.995809i | \(-0.529154\pi\) |
0.918807 | + | 0.394707i | \(0.129154\pi\) | |||||||
\(384\) | −2.11898e8 | − | 6.52156e8i | −0.190971 | − | 0.587749i | ||||
\(385\) | −1.40938e7 | + | 4.33763e7i | −0.0125868 | + | 0.0387382i | ||||
\(386\) | 4.17873e8 | + | 3.03602e8i | 0.369818 | + | 0.268689i | ||||
\(387\) | 3.18992e8 | − | 9.81756e8i | 0.279764 | − | 0.861024i | ||||
\(388\) | −2.32134e8 | + | 7.14436e8i | −0.201757 | + | 0.620943i | ||||
\(389\) | 6.82758e8 | + | 4.96053e8i | 0.588089 | + | 0.427272i | 0.841631 | − | 0.540052i | \(-0.181596\pi\) |
−0.253542 | + | 0.967324i | \(0.581596\pi\) | |||||||
\(390\) | −5.89981e7 | + | 1.81578e8i | −0.0503631 | + | 0.155002i | ||||
\(391\) | 1.80826e8 | + | 5.56524e8i | 0.152982 | + | 0.470831i | ||||
\(392\) | −1.91336e9 | + | 1.39013e9i | −1.60433 | + | 1.16562i | ||||
\(393\) | 1.74216e8 | + | 5.36183e8i | 0.144782 | + | 0.445594i | ||||
\(394\) | 2.91115e8 | + | 2.11508e8i | 0.239789 | + | 0.174217i | ||||
\(395\) | −3.23493e8 | − | 2.35031e8i | −0.264104 | − | 0.191883i | ||||
\(396\) | −4.54623e8 | + | 3.30303e8i | −0.367890 | + | 0.267288i | ||||
\(397\) | −1.52993e9 | −1.22717 | −0.613585 | − | 0.789629i | \(-0.710273\pi\) | ||||
−0.613585 | + | 0.789629i | \(0.710273\pi\) | |||||||
\(398\) | 2.42151e9 | 1.92529 | ||||||||
\(399\) | −4.48985e6 | + | 3.26207e6i | −0.00353856 | + | 0.00257092i | ||||
\(400\) | −2.56662e8 | + | 7.89923e8i | −0.200517 | + | 0.617127i | ||||
\(401\) | 4.84942e8 | + | 1.49250e9i | 0.375565 | + | 1.15587i | 0.943097 | + | 0.332518i | \(0.107898\pi\) |
−0.567532 | + | 0.823351i | \(0.692102\pi\) | |||||||
\(402\) | −1.06021e9 | −0.813954 | ||||||||
\(403\) | 1.53726e8 | − | 3.09597e8i | 0.116998 | − | 0.235629i | ||||
\(404\) | 3.66702e9 | 2.76680 | ||||||||
\(405\) | −1.27379e8 | − | 3.92032e8i | −0.0952807 | − | 0.293244i | ||||
\(406\) | 2.14800e8 | − | 6.61087e8i | 0.159292 | − | 0.490250i | ||||
\(407\) | 2.13539e8 | − | 1.55145e8i | 0.156999 | − | 0.114067i | ||||
\(408\) | −3.79986e8 | −0.276986 | ||||||||
\(409\) | −1.40932e9 | −1.01854 | −0.509270 | − | 0.860607i | \(-0.670085\pi\) | ||||
−0.509270 | + | 0.860607i | \(0.670085\pi\) | |||||||
\(410\) | −7.61982e8 | + | 5.53612e8i | −0.546011 | + | 0.396700i | ||||
\(411\) | 2.35303e8 | + | 1.70958e8i | 0.167179 | + | 0.121463i | ||||
\(412\) | −3.37736e9 | − | 2.45380e9i | −2.37924 | − | 1.72862i | ||||
\(413\) | 2.60130e7 | + | 8.00598e7i | 0.0181704 | + | 0.0559228i | ||||
\(414\) | 2.78583e9 | − | 2.02402e9i | 1.92954 | − | 1.40189i | ||||
\(415\) | −4.48985e8 | − | 1.38183e9i | −0.308364 | − | 0.949047i | ||||
\(416\) | −7.45840e7 | + | 2.29546e8i | −0.0507948 | + | 0.156330i | ||||
\(417\) | −2.60296e8 | − | 1.89116e8i | −0.175789 | − | 0.127718i | ||||
\(418\) | 1.03023e7 | − | 3.17071e7i | 0.00689947 | − | 0.0212344i | ||||
\(419\) | 3.61688e8 | − | 1.11316e9i | 0.240206 | − | 0.739279i | −0.756182 | − | 0.654362i | \(-0.772937\pi\) |
0.996388 | − | 0.0849174i | \(-0.0270627\pi\) | |||||||
\(420\) | 1.86762e8 | + | 1.35691e8i | 0.123003 | + | 0.0893670i | ||||
\(421\) | 2.91766e8 | − | 8.97963e8i | 0.190567 | − | 0.586504i | −0.809433 | − | 0.587212i | \(-0.800225\pi\) |
1.00000 | 0.000708065i | \(0.000225384\pi\) | ||||||||
\(422\) | −9.87241e8 | − | 3.03841e9i | −0.639484 | − | 1.96813i | ||||
\(423\) | −1.01452e9 | + | 7.37094e8i | −0.651734 | + | 0.473513i | ||||
\(424\) | 7.68585e8 | + | 2.36546e9i | 0.489679 | + | 1.50708i | ||||
\(425\) | −1.59549e8 | − | 1.15919e8i | −0.100817 | − | 0.0732477i | ||||
\(426\) | −1.83427e9 | − | 1.33267e9i | −1.14955 | − | 0.835199i | ||||
\(427\) | −2.48019e8 | + | 1.80196e8i | −0.154165 | + | 0.112008i | ||||
\(428\) | −6.08433e9 | −3.75111 | ||||||||
\(429\) | 5.29377e7 | 0.0323716 | ||||||||
\(430\) | 2.06096e9 | − | 1.49737e9i | 1.25006 | − | 0.908219i | ||||
\(431\) | −7.05326e8 | + | 2.17077e9i | −0.424345 | + | 1.30600i | 0.479275 | + | 0.877665i | \(0.340900\pi\) |
−0.903620 | + | 0.428335i | \(0.859100\pi\) | |||||||
\(432\) | 6.45801e8 | + | 1.98757e9i | 0.385395 | + | 1.18612i | ||||
\(433\) | −1.72020e9 | −1.01829 | −0.509144 | − | 0.860681i | \(-0.670038\pi\) | ||||
−0.509144 | + | 0.860681i | \(0.670038\pi\) | |||||||
\(434\) | −4.36660e8 | − | 4.27700e8i | −0.256407 | − | 0.251145i | ||||
\(435\) | 8.58948e8 | 0.500328 | ||||||||
\(436\) | 1.02076e9 | + | 3.14158e9i | 0.589822 | + | 1.81529i | ||||
\(437\) | −4.31678e7 | + | 1.32857e8i | −0.0247443 | + | 0.0761551i | ||||
\(438\) | 1.86700e9 | − | 1.35645e9i | 1.06166 | − | 0.771339i | ||||
\(439\) | −2.64759e9 | −1.49357 | −0.746785 | − | 0.665066i | \(-0.768403\pi\) | ||||
−0.746785 | + | 0.665066i | \(0.768403\pi\) | |||||||
\(440\) | −7.45487e8 | −0.417211 | ||||||||
\(441\) | −1.10087e9 | + | 7.99832e8i | −0.611227 | + | 0.444082i | ||||
\(442\) | −1.99763e8 | − | 1.45136e8i | −0.110037 | − | 0.0799463i | ||||
\(443\) | −4.31117e8 | − | 3.13225e8i | −0.235604 | − | 0.171176i | 0.463719 | − | 0.885983i | \(-0.346515\pi\) |
−0.699323 | + | 0.714806i | \(0.746515\pi\) | |||||||
\(444\) | −4.12846e8 | − | 1.27061e9i | −0.223845 | − | 0.688924i | ||||
\(445\) | −2.41001e8 | + | 1.75098e8i | −0.129646 | + | 0.0941934i | ||||
\(446\) | 1.53373e9 | + | 4.72034e9i | 0.818611 | + | 2.51942i | ||||
\(447\) | 1.85432e8 | − | 5.70701e8i | 0.0981993 | − | 0.302226i | ||||
\(448\) | −1.25135e8 | − | 9.09157e7i | −0.0657513 | − | 0.0477711i | ||||
\(449\) | 8.44991e8 | − | 2.60061e9i | 0.440545 | − | 1.35586i | −0.446752 | − | 0.894658i | \(-0.647419\pi\) |
0.887297 | − | 0.461199i | \(-0.152581\pi\) | |||||||
\(450\) | −3.58623e8 | + | 1.10373e9i | −0.185522 | + | 0.570977i | ||||
\(451\) | 2.11278e8 | + | 1.53502e8i | 0.108452 | + | 0.0787947i | ||||
\(452\) | −7.66464e8 | + | 2.35893e9i | −0.390398 | + | 1.20152i | ||||
\(453\) | 2.98809e8 | + | 9.19638e8i | 0.151025 | + | 0.464808i | ||||
\(454\) | 4.40653e9 | − | 3.20153e9i | 2.21005 | − | 1.60569i | ||||
\(455\) | 2.49193e7 | + | 7.66938e7i | 0.0124021 | + | 0.0381698i | ||||
\(456\) | −7.33882e7 | − | 5.33196e7i | −0.0362451 | − | 0.0263336i | ||||
\(457\) | 1.20557e9 | + | 8.75895e8i | 0.590859 | + | 0.429284i | 0.842623 | − | 0.538504i | \(-0.181010\pi\) |
−0.251763 | + | 0.967789i | \(0.581010\pi\) | |||||||
\(458\) | −1.38908e9 | + | 1.00923e9i | −0.675613 | + | 0.490861i | ||||
\(459\) | −4.96220e8 | −0.239514 | ||||||||
\(460\) | 5.81079e9 | 2.78344 | ||||||||
\(461\) | −1.42255e9 | + | 1.03354e9i | −0.676262 | + | 0.491333i | −0.872116 | − | 0.489300i | \(-0.837252\pi\) |
0.195853 | + | 0.980633i | \(0.437252\pi\) | |||||||
\(462\) | 2.89267e7 | − | 8.90272e7i | 0.0136475 | − | 0.0420026i | ||||
\(463\) | 5.66485e8 | + | 1.74346e9i | 0.265250 | + | 0.816355i | 0.991636 | + | 0.129068i | \(0.0411986\pi\) |
−0.726386 | + | 0.687287i | \(0.758801\pi\) | |||||||
\(464\) | 4.67855e9 | 2.17419 | ||||||||
\(465\) | 3.35903e8 | − | 6.76493e8i | 0.154928 | − | 0.312017i | ||||
\(466\) | 7.40929e9 | 3.39177 | ||||||||
\(467\) | −4.67475e7 | − | 1.43874e8i | −0.0212397 | − | 0.0653692i | 0.939875 | − | 0.341519i | \(-0.110941\pi\) |
−0.961115 | + | 0.276150i | \(0.910941\pi\) | |||||||
\(468\) | −3.07032e8 | + | 9.44947e8i | −0.138460 | + | 0.426135i | ||||
\(469\) | −3.62282e8 | + | 2.63213e8i | −0.162159 | + | 0.117816i | ||||
\(470\) | −3.09470e9 | −1.37492 | ||||||||
\(471\) | 1.66941e9 | 0.736191 | ||||||||
\(472\) | −1.11317e9 | + | 8.08762e8i | −0.487262 | + | 0.354017i | ||||
\(473\) | −5.71450e8 | − | 4.15183e8i | −0.248293 | − | 0.180395i | ||||
\(474\) | 6.63950e8 | + | 4.82388e8i | 0.286359 | + | 0.208052i | ||||
\(475\) | −1.45485e7 | − | 4.47758e7i | −0.00622862 | − | 0.0191697i | ||||
\(476\) | −2.41541e8 | + | 1.75490e8i | −0.102652 | + | 0.0745809i | ||||
\(477\) | 4.42216e8 | + | 1.36100e9i | 0.186561 | + | 0.574174i | ||||
\(478\) | 1.36371e9 | − | 4.19706e9i | 0.571114 | − | 1.75771i | ||||
\(479\) | −2.64945e8 | − | 1.92494e8i | −0.110149 | − | 0.0800281i | 0.531347 | − | 0.847154i | \(-0.321686\pi\) |
−0.641496 | + | 0.767126i | \(0.721686\pi\) | |||||||
\(480\) | −1.62972e8 | + | 5.01575e8i | −0.0672617 | + | 0.207010i | ||||
\(481\) | 1.44215e8 | − | 4.43848e8i | 0.0590885 | − | 0.181856i | ||||
\(482\) | −6.02813e9 | − | 4.37969e9i | −2.45199 | − | 1.78147i | ||||
\(483\) | −1.21207e8 | + | 3.73036e8i | −0.0489453 | + | 0.150638i | ||||
\(484\) | −1.54801e9 | − | 4.76429e9i | −0.620605 | − | 1.91003i | ||||
\(485\) | −4.63877e8 | + | 3.37027e8i | −0.184632 | + | 0.134143i | ||||
\(486\) | 1.40714e9 | + | 4.33072e9i | 0.556044 | + | 1.71133i | ||||
\(487\) | 1.54834e9 | + | 1.12493e9i | 0.607456 | + | 0.441343i | 0.848518 | − | 0.529167i | \(-0.177496\pi\) |
−0.241062 | + | 0.970510i | \(0.577496\pi\) | |||||||
\(488\) | −4.05395e9 | − | 2.94537e9i | −1.57910 | − | 1.14728i | ||||
\(489\) | −1.56827e8 | + | 1.13941e8i | −0.0606512 | + | 0.0440657i | ||||
\(490\) | −3.35810e9 | −1.28946 | ||||||||
\(491\) | −2.85492e8 | −0.108845 | −0.0544225 | − | 0.998518i | \(-0.517332\pi\) | ||||
−0.0544225 | + | 0.998518i | \(0.517332\pi\) | |||||||
\(492\) | 1.06940e9 | − | 7.76963e8i | 0.404820 | − | 0.294119i | ||||
\(493\) | −3.43282e8 | + | 1.05651e9i | −0.129029 | + | 0.397110i | ||||
\(494\) | −1.82155e7 | − | 5.60615e7i | −0.00679824 | − | 0.0209228i | ||||
\(495\) | −4.28926e8 | −0.158951 | ||||||||
\(496\) | 1.82961e9 | − | 3.68474e9i | 0.673243 | − | 1.35588i | ||||
\(497\) | −9.57641e8 | −0.349909 | ||||||||
\(498\) | 9.21515e8 | + | 2.83613e9i | 0.334349 | + | 1.02902i | ||||
\(499\) | 1.12668e9 | − | 3.46756e9i | 0.405927 | − | 1.24931i | −0.514192 | − | 0.857675i | \(-0.671908\pi\) |
0.920119 | − | 0.391639i | \(-0.128092\pi\) | |||||||
\(500\) | −5.28058e9 | + | 3.83657e9i | −1.88924 | + | 1.37261i | ||||
\(501\) | −1.43417e8 | −0.0509528 | ||||||||
\(502\) | 2.13058e8 | 0.0751685 | ||||||||
\(503\) | 4.08367e9 | − | 2.96696e9i | 1.43075 | − | 1.03950i | 0.440869 | − | 0.897571i | \(-0.354670\pi\) |
0.989877 | − | 0.141926i | \(-0.0453296\pi\) | |||||||
\(504\) | 7.64087e8 | + | 5.55142e8i | 0.265849 | + | 0.193151i | ||||
\(505\) | 2.26443e9 | + | 1.64521e9i | 0.782419 | + | 0.568461i | ||||
\(506\) | −7.28119e8 | − | 2.24092e9i | −0.249848 | − | 0.768953i | ||||
\(507\) | −1.01839e9 | + | 7.39905e8i | −0.347046 | + | 0.252144i | ||||
\(508\) | −1.00028e9 | − | 3.07854e9i | −0.338531 | − | 1.04189i | ||||
\(509\) | 5.16754e8 | − | 1.59041e9i | 0.173689 | − | 0.534559i | −0.825882 | − | 0.563842i | \(-0.809323\pi\) |
0.999571 | + | 0.0292834i | \(0.00932252\pi\) | |||||||
\(510\) | −4.36497e8 | − | 3.17134e8i | −0.145709 | − | 0.105864i | ||||
\(511\) | 3.01208e8 | − | 9.27022e8i | 0.0998603 | − | 0.307338i | ||||
\(512\) | 2.04930e9 | − | 6.30709e9i | 0.674777 | − | 2.07675i | ||||
\(513\) | −9.58369e7 | − | 6.96296e7i | −0.0313417 | − | 0.0227710i | ||||
\(514\) | 3.45602e8 | − | 1.06365e9i | 0.112255 | − | 0.345485i | ||||
\(515\) | −9.84671e8 | − | 3.03051e9i | −0.317663 | − | 0.977665i | ||||
\(516\) | −2.89244e9 | + | 2.10148e9i | −0.926808 | + | 0.673365i | ||||
\(517\) | 2.65161e8 | + | 8.16082e8i | 0.0843904 | + | 0.259727i | ||||
\(518\) | −6.67632e8 | − | 4.85063e8i | −0.211049 | − | 0.153336i | ||||
\(519\) | 2.07264e7 | + | 1.50586e7i | 0.00650785 | + | 0.00472823i | ||||
\(520\) | −1.06636e9 | + | 7.74759e8i | −0.332578 | + | 0.241632i | ||||
\(521\) | 2.81772e9 | 0.872902 | 0.436451 | − | 0.899728i | \(-0.356235\pi\) | ||||
0.436451 | + | 0.899728i | \(0.356235\pi\) | |||||||
\(522\) | 6.53715e9 | 2.01160 | ||||||||
\(523\) | −2.23219e9 | + | 1.62178e9i | −0.682300 | + | 0.495720i | −0.874120 | − | 0.485710i | \(-0.838561\pi\) |
0.191820 | + | 0.981430i | \(0.438561\pi\) | |||||||
\(524\) | −2.23743e9 | + | 6.88609e9i | −0.679343 | + | 2.09080i | ||||
\(525\) | −4.08494e7 | − | 1.25721e8i | −0.0123205 | − | 0.0379185i | ||||
\(526\) | 8.82142e9 | 2.64295 | ||||||||
\(527\) | 6.97847e8 | + | 6.83527e8i | 0.207694 | + | 0.203432i | ||||
\(528\) | 6.30050e8 | 0.186276 | ||||||||
\(529\) | 1.99877e9 | + | 6.15157e9i | 0.587039 | + | 1.80672i | ||||
\(530\) | −1.09131e9 | + | 3.35871e9i | −0.318407 | + | 0.979956i | ||||
\(531\) | −6.40474e8 | + | 4.65332e8i | −0.185640 | + | 0.134875i | ||||
\(532\) | −7.12744e7 | −0.0205231 | ||||||||
\(533\) | 4.61747e8 | 0.132087 | ||||||||
\(534\) | 4.94641e8 | − | 3.59378e8i | 0.140571 | − | 0.102131i | ||||
\(535\) | −3.75716e9 | − | 2.72973e9i | −1.06077 | − | 0.770694i | ||||
\(536\) | −5.92162e9 | − | 4.30231e9i | −1.66098 | − | 1.20677i | ||||
\(537\) | 6.82325e7 | + | 2.09998e8i | 0.0190143 | + | 0.0585201i | ||||
\(538\) | −8.44727e9 | + | 6.13730e9i | −2.33872 | + | 1.69918i | ||||
\(539\) | 2.87730e8 | + | 8.85543e8i | 0.0791453 | + | 0.243584i | ||||
\(540\) | −1.52270e9 | + | 4.68639e9i | −0.416137 | + | 1.28074i | ||||
\(541\) | 3.20426e9 | + | 2.32803e9i | 0.870037 | + | 0.632119i | 0.930597 | − | 0.366046i | \(-0.119289\pi\) |
−0.0605601 | + | 0.998165i | \(0.519289\pi\) | |||||||
\(542\) | −1.28352e9 | + | 3.95027e9i | −0.346262 | + | 1.06569i | ||||
\(543\) | 6.54769e8 | − | 2.01517e9i | 0.175505 | − | 0.540148i | ||||
\(544\) | −5.51809e8 | − | 4.00913e8i | −0.146958 | − | 0.106771i | ||||
\(545\) | −7.79135e8 | + | 2.39793e9i | −0.206170 | + | 0.634525i | ||||
\(546\) | −5.11454e7 | − | 1.57409e8i | −0.0134472 | − | 0.0413863i | ||||
\(547\) | 2.21041e8 | − | 1.60596e8i | 0.0577455 | − | 0.0419545i | −0.558538 | − | 0.829479i | \(-0.688638\pi\) |
0.616284 | + | 0.787524i | \(0.288638\pi\) | |||||||
\(548\) | 1.15428e9 | + | 3.55252e9i | 0.299627 | + | 0.922156i | ||||
\(549\) | −2.33249e9 | − | 1.69466e9i | −0.601613 | − | 0.437098i | ||||
\(550\) | 6.42446e8 | + | 4.66764e8i | 0.164652 | + | 0.119627i | ||||
\(551\) | −2.14549e8 | + | 1.55879e8i | −0.0546382 | + | 0.0396970i | ||||
\(552\) | −6.41118e9 | −1.62238 | ||||||||
\(553\) | 3.46637e8 | 0.0871641 | ||||||||
\(554\) | −6.41500e9 | + | 4.66077e9i | −1.60292 | + | 1.16459i | ||||
\(555\) | 3.15121e8 | − | 9.69841e8i | 0.0782440 | − | 0.240810i | ||||
\(556\) | −1.27688e9 | − | 3.92985e9i | −0.315057 | − | 0.969647i | ||||
\(557\) | 6.82425e9 | 1.67325 | 0.836626 | − | 0.547774i | \(-0.184525\pi\) | ||||
0.836626 | + | 0.547774i | \(0.184525\pi\) | |||||||
\(558\) | 2.55644e9 | − | 5.14854e9i | 0.622896 | − | 1.25448i | ||||
\(559\) | −1.24890e9 | −0.302404 | ||||||||
\(560\) | 2.96583e8 | + | 9.12789e8i | 0.0713655 | + | 0.219640i | ||||
\(561\) | −4.62291e7 | + | 1.42279e8i | −0.0110547 | + | 0.0340228i | ||||
\(562\) | −8.05216e9 | + | 5.85024e9i | −1.91353 | + | 1.39026i | ||||
\(563\) | 3.28658e9 | 0.776183 | 0.388092 | − | 0.921621i | \(-0.373134\pi\) | ||||
0.388092 | + | 0.921621i | \(0.373134\pi\) | |||||||
\(564\) | 4.34323e9 | 1.01938 | ||||||||
\(565\) | −1.53164e9 | + | 1.11280e9i | −0.357261 | + | 0.259566i | ||||
\(566\) | 3.30443e9 | + | 2.40081e9i | 0.766017 | + | 0.556544i | ||||
\(567\) | 2.89095e8 | + | 2.10040e8i | 0.0666040 | + | 0.0483907i | ||||
\(568\) | −4.83703e9 | − | 1.48869e10i | −1.10754 | − | 3.40866i | ||||
\(569\) | −3.46766e9 | + | 2.51940e9i | −0.789121 | + | 0.573330i | −0.907702 | − | 0.419615i | \(-0.862165\pi\) |
0.118582 | + | 0.992944i | \(0.462165\pi\) | |||||||
\(570\) | −3.98022e7 | − | 1.22499e8i | −0.00900212 | − | 0.0277057i | ||||
\(571\) | 4.02705e8 | − | 1.23940e9i | 0.0905233 | − | 0.278602i | −0.895538 | − | 0.444985i | \(-0.853209\pi\) |
0.986061 | + | 0.166383i | \(0.0532089\pi\) | |||||||
\(572\) | 5.50025e8 | + | 3.99616e8i | 0.122884 | + | 0.0892806i | ||||
\(573\) | −2.54523e7 | + | 7.83342e7i | −0.00565180 | + | 0.0173944i | ||||
\(574\) | 2.52312e8 | − | 7.76536e8i | 0.0556860 | − | 0.171384i | ||||
\(575\) | −2.69193e9 | − | 1.95580e9i | −0.590509 | − | 0.429030i | ||||
\(576\) | 4.49509e8 | − | 1.38345e9i | 0.0980076 | − | 0.301636i | ||||
\(577\) | 3.82025e8 | + | 1.17575e9i | 0.0827897 | + | 0.254801i | 0.983880 | − | 0.178832i | \(-0.0572317\pi\) |
−0.901090 | + | 0.433632i | \(0.857232\pi\) | |||||||
\(578\) | −6.11459e9 | + | 4.44251e9i | −1.31710 | + | 0.956931i | ||||
\(579\) | −1.70983e8 | − | 5.26230e8i | −0.0366081 | − | 0.112668i | ||||
\(580\) | 8.92450e9 | + | 6.48403e9i | 1.89927 | + | 1.37990i | ||||
\(581\) | 1.01900e9 | + | 7.40349e8i | 0.215556 | + | 0.156610i | ||||
\(582\) | 9.52080e8 | − | 6.91727e8i | 0.200190 | − | 0.145447i | ||||
\(583\) | 9.79208e8 | 0.204661 | ||||||||
\(584\) | 1.59323e10 | 3.31004 | ||||||||
\(585\) | −6.13547e8 | + | 4.45768e8i | −0.126707 | + | 0.0920583i | ||||
\(586\) | 4.37509e8 | − | 1.34652e9i | 0.0898143 | − | 0.276420i | ||||
\(587\) | −2.53724e9 | − | 7.80883e9i | −0.517760 | − | 1.59350i | −0.778203 | − | 0.628013i | \(-0.783869\pi\) |
0.260443 | − | 0.965489i | \(-0.416131\pi\) | |||||||
\(588\) | 4.71290e9 | 0.956022 | ||||||||
\(589\) | 3.88654e7 | + | 2.29934e8i | 0.00783718 | + | 0.0463660i | ||||
\(590\) | −1.95370e9 | −0.391630 | ||||||||
\(591\) | −1.19117e8 | − | 3.66604e8i | −0.0237365 | − | 0.0730535i | ||||
\(592\) | 1.71641e9 | − | 5.28256e9i | 0.340012 | − | 1.04645i | ||||
\(593\) | 4.67208e9 | − | 3.39447e9i | 0.920066 | − | 0.668467i | −0.0234745 | − | 0.999724i | \(-0.507473\pi\) |
0.943540 | + | 0.331257i | \(0.107473\pi\) | |||||||
\(594\) | 1.99810e9 | 0.391169 | ||||||||
\(595\) | −2.27888e8 | −0.0443519 | ||||||||
\(596\) | 6.23476e9 | − | 4.52982e9i | 1.20631 | − | 0.876433i | ||||
\(597\) | −2.09859e9 | − | 1.52471e9i | −0.403661 | − | 0.293277i | ||||
\(598\) | −3.37043e9 | − | 2.44876e9i | −0.644513 | − | 0.468266i | ||||
\(599\) | −1.36871e9 | − | 4.21245e9i | −0.260206 | − | 0.800831i | −0.992759 | − | 0.120121i | \(-0.961672\pi\) |
0.732553 | − | 0.680709i | \(-0.238328\pi\) | |||||||
\(600\) | 1.74805e9 | − | 1.27004e9i | 0.330389 | − | 0.240042i | ||||
\(601\) | −1.06156e9 | − | 3.26714e9i | −0.199472 | − | 0.613913i | −0.999895 | − | 0.0144770i | \(-0.995392\pi\) |
0.800423 | − | 0.599436i | \(-0.204608\pi\) | |||||||
\(602\) | −6.82437e8 | + | 2.10032e9i | −0.127490 | + | 0.392372i | ||||
\(603\) | −3.40708e9 | − | 2.47539e9i | −0.632808 | − | 0.459762i | ||||
\(604\) | −3.83753e9 | + | 1.18107e10i | −0.708636 | + | 2.18096i | ||||
\(605\) | 1.18158e9 | − | 3.63653e9i | 0.216930 | − | 0.667641i | ||||
\(606\) | −4.64761e9 | − | 3.37669e9i | −0.848351 | − | 0.616363i | ||||
\(607\) | 1.12193e9 | − | 3.45295e9i | 0.203613 | − | 0.626656i | −0.796154 | − | 0.605093i | \(-0.793136\pi\) |
0.999767 | − | 0.0215630i | \(-0.00686425\pi\) | |||||||
\(608\) | −5.03170e7 | − | 1.54860e8i | −0.00907929 | − | 0.0279432i | ||||
\(609\) | −6.02411e8 | + | 4.37677e8i | −0.108077 | + | 0.0785224i | ||||
\(610\) | −2.19867e9 | − | 6.76680e9i | −0.392198 | − | 1.20706i | ||||
\(611\) | 1.22742e9 | + | 8.91773e8i | 0.217695 | + | 0.158165i | ||||
\(612\) | −2.27157e9 | − | 1.65039e9i | −0.400587 | − | 0.291044i | ||||
\(613\) | 2.81735e9 | − | 2.04693e9i | 0.494003 | − | 0.358914i | −0.312719 | − | 0.949846i | \(-0.601240\pi\) |
0.806722 | + | 0.590932i | \(0.201240\pi\) | |||||||
\(614\) | 3.22786e9 | 0.562762 | ||||||||
\(615\) | 1.00895e9 | 0.174907 | ||||||||
\(616\) | 5.22837e8 | − | 3.79863e8i | 0.0901226 | − | 0.0654779i | ||||
\(617\) | 3.52163e8 | − | 1.08385e9i | 0.0603595 | − | 0.185767i | −0.916330 | − | 0.400423i | \(-0.868863\pi\) |
0.976690 | + | 0.214656i | \(0.0688631\pi\) | |||||||
\(618\) | 2.02098e9 | + | 6.21993e9i | 0.344431 | + | 1.06005i | ||||
\(619\) | 2.65541e7 | 0.00450003 | 0.00225001 | − | 0.999997i | \(-0.499284\pi\) | ||||
0.00225001 | + | 0.999997i | \(0.499284\pi\) | |||||||
\(620\) | 8.59675e9 | − | 4.49312e9i | 1.44865 | − | 0.757141i | ||||
\(621\) | −8.37230e9 | −1.40289 | ||||||||
\(622\) | 5.40979e9 | + | 1.66496e10i | 0.901393 | + | 2.77420i | ||||
\(623\) | 7.98018e7 | − | 2.45605e8i | 0.0132222 | − | 0.0406938i | ||||
\(624\) | 9.01241e8 | − | 6.54790e8i | 0.148489 | − | 0.107884i | ||||
\(625\) | −2.36589e9 | −0.387628 | ||||||||
\(626\) | −1.70473e10 | −2.77744 | ||||||||
\(627\) | −2.88929e7 | + | 2.09919e7i | −0.00468118 | + | 0.00340107i | ||||
\(628\) | 1.73452e10 | + | 1.26021e10i | 2.79461 | + | 2.03041i | ||||
\(629\) | 1.06697e9 | + | 7.75202e8i | 0.170953 | + | 0.124205i | ||||
\(630\) | 4.14404e8 | + | 1.27540e9i | 0.0660285 | + | 0.203215i | ||||
\(631\) | −6.97185e9 | + | 5.06534e9i | −1.10470 | + | 0.802613i | −0.981821 | − | 0.189808i | \(-0.939213\pi\) |
−0.122881 | + | 0.992421i | \(0.539213\pi\) | |||||||
\(632\) | 1.75086e9 | + | 5.38860e9i | 0.275894 | + | 0.849114i | ||||
\(633\) | −1.05756e9 | + | 3.25484e9i | −0.165727 | + | 0.510055i | ||||
\(634\) | −1.52519e10 | − | 1.10811e10i | −2.37690 | − | 1.72692i | ||||
\(635\) | 7.63502e8 | − | 2.34982e9i | 0.118332 | − | 0.364188i | ||||
\(636\) | 1.53159e9 | − | 4.71375e9i | 0.236071 | − | 0.726552i | ||||
\(637\) | 1.33189e9 | + | 9.67676e8i | 0.204165 | + | 0.148334i | ||||
\(638\) | 1.38227e9 | − | 4.25420e9i | 0.210728 | − | 0.648553i | ||||
\(639\) | −2.78305e9 | − | 8.56535e9i | −0.421957 | − | 1.29865i | ||||
\(640\) | 5.43814e9 | − | 3.95104e9i | 0.820013 | − | 0.595774i | ||||
\(641\) | 2.72571e9 | + | 8.38887e9i | 0.408767 | + | 1.25806i | 0.917708 | + | 0.397255i | \(0.130037\pi\) |
−0.508941 | + | 0.860802i | \(0.669963\pi\) | |||||||
\(642\) | 7.71134e9 | + | 5.60262e9i | 1.15016 | + | 0.835638i | ||||
\(643\) | 5.82025e9 | + | 4.22866e9i | 0.863382 | + | 0.627284i | 0.928803 | − | 0.370574i | \(-0.120839\pi\) |
−0.0654207 | + | 0.997858i | \(0.520839\pi\) | |||||||
\(644\) | −4.07531e9 | + | 2.96089e9i | −0.601257 | + | 0.436839i | ||||
\(645\) | −2.72895e9 | −0.400438 | ||||||||
\(646\) | 1.66581e8 | 0.0243115 | ||||||||
\(647\) | 5.40827e9 | − | 3.92934e9i | 0.785043 | − | 0.570367i | −0.121445 | − | 0.992598i | \(-0.538753\pi\) |
0.906488 | + | 0.422231i | \(0.138753\pi\) | |||||||
\(648\) | −1.80493e9 | + | 5.55500e9i | −0.260584 | + | 0.801995i | ||||
\(649\) | 1.67398e8 | + | 5.15197e8i | 0.0240377 | + | 0.0739805i | ||||
\(650\) | 1.40406e9 | 0.200535 | ||||||||
\(651\) | 1.09126e8 | + | 6.45608e8i | 0.0155023 | + | 0.0917140i | ||||
\(652\) | −2.48956e9 | −0.351767 | ||||||||
\(653\) | 6.50089e8 | + | 2.00077e9i | 0.0913643 | + | 0.281190i | 0.986289 | − | 0.165026i | \(-0.0527710\pi\) |
−0.894925 | + | 0.446217i | \(0.852771\pi\) | |||||||
\(654\) | 1.59913e9 | − | 4.92161e9i | 0.223543 | − | 0.687994i | ||||
\(655\) | −4.47108e9 | + | 3.24843e9i | −0.621682 | + | 0.451678i | ||||
\(656\) | 5.49559e9 | 0.760065 | ||||||||
\(657\) | 9.16684e9 | 1.26107 | ||||||||
\(658\) | 2.17042e9 | − | 1.57690e9i | 0.296998 | − | 0.215782i | ||||
\(659\) | −1.01515e9 | − | 7.37547e8i | −0.138175 | − | 0.100390i | 0.516551 | − | 0.856257i | \(-0.327216\pi\) |
−0.654726 | + | 0.755867i | \(0.727216\pi\) | |||||||
\(660\) | 1.20184e9 | + | 8.73191e8i | 0.162721 | + | 0.118224i | ||||
\(661\) | −1.02883e9 | − | 3.16642e9i | −0.138561 | − | 0.426446i | 0.857566 | − | 0.514374i | \(-0.171976\pi\) |
−0.996127 | + | 0.0879278i | \(0.971976\pi\) | |||||||
\(662\) | −2.02889e9 | + | 1.47408e9i | −0.271804 | + | 0.197478i | ||||
\(663\) | 8.17379e7 | + | 2.51563e8i | 0.0108925 | + | 0.0335236i | ||||
\(664\) | −6.36201e9 | + | 1.95803e10i | −0.843347 | + | 2.59555i | ||||
\(665\) | −4.40129e7 | − | 3.19772e7i | −0.00580369 | − | 0.00421663i | ||||
\(666\) | 2.39827e9 | − | 7.38111e9i | 0.314585 | − | 0.968193i | ||||
\(667\) | −5.79191e9 | + | 1.78257e10i | −0.755755 | + | 2.32597i | ||||
\(668\) | −1.49011e9 | − | 1.08263e9i | −0.193419 | − | 0.140527i | ||||
\(669\) | 1.64298e9 | − | 5.05658e9i | 0.212149 | − | 0.652928i | ||||
\(670\) | −3.21160e9 | − | 9.88429e9i | −0.412534 | − | 1.26965i | ||||
\(671\) | −1.59604e9 | + | 1.15959e9i | −0.203946 | + | 0.148175i | ||||
\(672\) | −1.41280e8 | − | 4.34815e8i | −0.0179592 | − | 0.0552729i | ||||
\(673\) | 6.47137e9 | + | 4.70173e9i | 0.818359 | + | 0.594573i | 0.916242 | − | 0.400625i | \(-0.131207\pi\) |
−0.0978830 | + | 0.995198i | \(0.531207\pi\) | |||||||
\(674\) | 2.39691e9 | + | 1.74146e9i | 0.301538 | + | 0.219080i | ||||
\(675\) | 2.28277e9 | − | 1.65853e9i | 0.285692 | − | 0.207567i | ||||
\(676\) | −1.61665e10 | −2.01281 | ||||||||
\(677\) | −1.52739e10 | −1.89187 | −0.945934 | − | 0.324359i | \(-0.894851\pi\) | ||||
−0.945934 | + | 0.324359i | \(0.894851\pi\) | |||||||
\(678\) | 3.14359e9 | − | 2.28395e9i | 0.387367 | − | 0.281438i | ||||
\(679\) | 1.53602e8 | − | 4.72738e8i | 0.0188301 | − | 0.0579530i | ||||
\(680\) | −1.15106e9 | − | 3.54260e9i | −0.140384 | − | 0.432057i | ||||
\(681\) | −5.83475e9 | −0.707958 | ||||||||
\(682\) | −2.80998e9 | − | 2.75232e9i | −0.339201 | − | 0.332241i | ||||
\(683\) | 5.27143e9 | 0.633076 | 0.316538 | − | 0.948580i | \(-0.397480\pi\) | ||||
0.316538 | + | 0.948580i | \(0.397480\pi\) | |||||||
\(684\) | −2.07134e8 | − | 6.37494e8i | −0.0247489 | − | 0.0761693i | ||||
\(685\) | −8.81051e8 | + | 2.71160e9i | −0.104733 | + | 0.322335i | ||||
\(686\) | 4.81032e9 | − | 3.49491e9i | 0.568905 | − | 0.413334i | ||||
\(687\) | 1.83930e9 | 0.216423 | ||||||||
\(688\) | −1.48641e10 | −1.74012 | ||||||||
\(689\) | 1.40069e9 | − | 1.01766e9i | 0.163145 | − | 0.118532i | ||||
\(690\) | −7.36464e9 | − | 5.35073e9i | −0.853454 | − | 0.620070i | ||||
\(691\) | 1.95984e9 | + | 1.42391e9i | 0.225969 | + | 0.164176i | 0.695009 | − | 0.719001i | \(-0.255400\pi\) |
−0.469041 | + | 0.883177i | \(0.655400\pi\) | |||||||
\(692\) | 1.01673e8 | + | 3.12918e8i | 0.0116637 | + | 0.0358971i | ||||
\(693\) | 3.00821e8 | − | 2.18559e8i | 0.0343354 | − | 0.0249461i | ||||
\(694\) | −1.65126e9 | − | 5.08207e9i | −0.187525 | − | 0.577142i | ||||
\(695\) | 9.74631e8 | − | 2.99961e9i | 0.110127 | − | 0.338936i | ||||
\(696\) | −9.84662e9 | − | 7.15399e9i | −1.10702 | − | 0.804296i | ||||
\(697\) | −4.03232e8 | + | 1.24102e9i | −0.0451066 | + | 0.138824i | ||||
\(698\) | −4.32294e9 | + | 1.33046e10i | −0.481155 | + | 1.48084i | ||||
\(699\) | −6.42122e9 | − | 4.66529e9i | −0.711128 | − | 0.516664i | ||||
\(700\) | 5.24620e8 | − | 1.61461e9i | 0.0578098 | − | 0.177920i | ||||
\(701\) | −4.41794e9 | − | 1.35970e10i | −0.484402 | − | 1.49084i | −0.832844 | − | 0.553507i | \(-0.813289\pi\) |
0.348442 | − | 0.937330i | \(-0.386711\pi\) | |||||||
\(702\) | 2.85814e9 | − | 2.07656e9i | 0.311819 | − | 0.226550i | ||||
\(703\) | 9.72924e7 | + | 2.99435e8i | 0.0105617 | + | 0.0325057i | ||||
\(704\) | −8.05262e8 | − | 5.85057e8i | −0.0869827 | − | 0.0631966i | ||||
\(705\) | 2.68200e9 | + | 1.94859e9i | 0.288269 | + | 0.209439i | ||||
\(706\) | 8.99035e9 | − | 6.53187e9i | 0.961524 | − | 0.698588i | ||||
\(707\) | −2.42644e9 | −0.258227 | ||||||||
\(708\) | 2.74191e9 | 0.290360 | ||||||||
\(709\) | −1.09165e10 | + | 7.93130e9i | −1.15033 | + | 0.835762i | −0.988524 | − | 0.151061i | \(-0.951731\pi\) |
−0.161803 | + | 0.986823i | \(0.551731\pi\) | |||||||
\(710\) | 6.86808e9 | − | 2.11378e10i | 0.720163 | − | 2.21643i | ||||
\(711\) | 1.00738e9 | + | 3.10040e9i | 0.105112 | + | 0.323500i | ||||
\(712\) | 4.22109e9 | 0.438272 | ||||||||
\(713\) | 1.17742e10 | + | 1.15326e10i | 1.21651 | + | 1.19155i | ||||
\(714\) | 4.67727e8 | 0.0480893 | ||||||||
\(715\) | 1.60360e8 | + | 4.93537e8i | 0.0164068 | + | 0.0504950i | ||||
\(716\) | −8.76296e8 | + | 2.69696e9i | −0.0892185 | + | 0.274586i | ||||
\(717\) | −3.82454e9 | + | 2.77869e9i | −0.387492 | + | 0.281529i | ||||
\(718\) | −9.47568e9 | −0.955377 | ||||||||
\(719\) | 1.10393e10 | 1.10761 | 0.553807 | − | 0.832645i | \(-0.313174\pi\) | ||||
0.553807 | + | 0.832645i | \(0.313174\pi\) | |||||||
\(720\) | −7.30226e9 | + | 5.30541e9i | −0.729111 | + | 0.529730i | ||||
\(721\) | 2.23478e9 | + | 1.62366e9i | 0.222055 | + | 0.161333i | ||||
\(722\) | −1.45174e10 | − | 1.05475e10i | −1.43552 | − | 1.04297i | ||||
\(723\) | 2.46656e9 | + | 7.59128e9i | 0.242721 | + | 0.747017i | ||||
\(724\) | 2.20152e10 | − | 1.59950e10i | 2.15595 | − | 1.56639i | ||||
\(725\) | −1.95200e9 | − | 6.00765e9i | −0.190238 | − | 0.585493i | ||||
\(726\) | −2.42512e9 | + | 7.46375e9i | −0.235210 | + | 0.723901i | ||||
\(727\) | 1.44236e10 | + | 1.04794e10i | 1.39221 | + | 1.01150i | 0.995619 | + | 0.0935043i | \(0.0298069\pi\) |
0.396591 | + | 0.917995i | \(0.370193\pi\) | |||||||
\(728\) | 3.53101e8 | − | 1.08673e9i | 0.0339187 | − | 0.104391i | ||||
\(729\) | 1.88820e8 | − | 5.81127e8i | 0.0180510 | − | 0.0555552i | ||||
\(730\) | 1.83017e10 | + | 1.32970e10i | 1.74125 | + | 1.26509i | ||||
\(731\) | 1.09063e9 | − | 3.35663e9i | 0.103269 | − | 0.317828i | ||||
\(732\) | 3.08570e9 | + | 9.49681e9i | 0.290780 | + | 0.894930i | ||||
\(733\) | 2.88510e9 | − | 2.09615e9i | 0.270581 | − | 0.196589i | −0.444218 | − | 0.895919i | \(-0.646518\pi\) |
0.714799 | + | 0.699330i | \(0.246518\pi\) | |||||||
\(734\) | 6.11715e9 | + | 1.88267e10i | 0.570970 | + | 1.75726i | ||||
\(735\) | 2.91028e9 | + | 2.11444e9i | 0.270352 | + | 0.196422i | ||||
\(736\) | −9.31021e9 | − | 6.76426e9i | −0.860770 | − | 0.625386i | ||||
\(737\) | −2.33134e9 | + | 1.69382e9i | −0.214521 | + | 0.155859i | ||||
\(738\) | 7.67877e9 | 0.703225 | ||||||||
\(739\) | −1.01040e10 | −0.920952 | −0.460476 | − | 0.887672i | \(-0.652321\pi\) | ||||
−0.460476 | + | 0.887672i | \(0.652321\pi\) | |||||||
\(740\) | 1.05953e10 | − | 7.69790e9i | 0.961170 | − | 0.698331i | ||||
\(741\) | −1.95130e7 | + | 6.00548e7i | −0.00176182 | + | 0.00542231i | ||||
\(742\) | −9.46056e8 | − | 2.91166e9i | −0.0850164 | − | 0.261654i | ||||
\(743\) | −2.02527e9 | −0.181143 | −0.0905715 | − | 0.995890i | \(-0.528869\pi\) | ||||
−0.0905715 | + | 0.995890i | \(0.528869\pi\) | |||||||
\(744\) | −9.48501e9 | + | 4.95737e9i | −0.844369 | + | 0.441312i | ||||
\(745\) | 5.88235e9 | 0.521199 | ||||||||
\(746\) | −5.42752e9 | − | 1.67042e10i | −0.478647 | − | 1.47313i | ||||
\(747\) | −3.66047e9 | + | 1.12658e10i | −0.321303 | + | 0.988868i | ||||
\(748\) | −1.55435e9 | + | 1.12930e9i | −0.135798 | + | 0.0986633i | ||||
\(749\) | 4.02597e9 | 0.350093 | ||||||||
\(750\) | 1.02255e10 | 0.885052 | ||||||||
\(751\) | 9.30950e8 | − | 6.76374e8i | 0.0802022 | − | 0.0582703i | −0.546962 | − | 0.837158i | \(-0.684216\pi\) |
0.627164 | + | 0.778887i | \(0.284216\pi\) | |||||||
\(752\) | 1.46084e10 | + | 1.06136e10i | 1.25268 | + | 0.910127i | ||||
\(753\) | −1.84646e8 | − | 1.34153e8i | −0.0157600 | − | 0.0114503i | ||||
\(754\) | −2.44400e9 | − | 7.52187e9i | −0.207636 | − | 0.639037i | ||||
\(755\) | −7.66860e9 | + | 5.57157e9i | −0.648488 | + | 0.471154i | ||||
\(756\) | −1.32003e9 | − | 4.06263e9i | −0.111111 | − | 0.341964i | ||||
\(757\) | 3.00775e9 | − | 9.25689e9i | 0.252003 | − | 0.775585i | −0.742402 | − | 0.669954i | \(-0.766314\pi\) |
0.994405 | − | 0.105631i | \(-0.0336863\pi\) | |||||||
\(758\) | 9.80844e9 | + | 7.12625e9i | 0.818009 | + | 0.594318i | ||||
\(759\) | −7.79984e8 | + | 2.40054e9i | −0.0647500 | + | 0.199280i | ||||
\(760\) | 2.74789e8 | − | 8.45713e8i | 0.0227066 | − | 0.0698836i | ||||
\(761\) | 6.46140e9 | + | 4.69448e9i | 0.531472 | + | 0.386137i | 0.820908 | − | 0.571060i | \(-0.193468\pi\) |
−0.289436 | + | 0.957197i | \(0.593468\pi\) | |||||||
\(762\) | −1.56704e9 | + | 4.82286e9i | −0.128303 | + | 0.394877i | ||||
\(763\) | −6.75431e8 | − | 2.07876e9i | −0.0550484 | − | 0.169422i | ||||
\(764\) | −8.55780e8 | + | 6.21761e8i | −0.0694281 | + | 0.0504425i | ||||
\(765\) | −6.62278e8 | − | 2.03828e9i | −0.0534842 | − | 0.164607i | ||||
\(766\) | −1.83021e10 | − | 1.32973e10i | −1.47130 | − | 1.06896i | ||||
\(767\) | 7.74877e8 | + | 5.62981e8i | 0.0620082 | + | 0.0450516i | ||||
\(768\) | −9.27664e9 | + | 6.73987e9i | −0.738969 | + | 0.536893i | ||||
\(769\) | 2.09011e9 | 0.165740 | 0.0828698 | − | 0.996560i | \(-0.473591\pi\) | ||||
0.0828698 | + | 0.996560i | \(0.473591\pi\) | |||||||
\(770\) | 9.17623e8 | 0.0724348 | ||||||||
\(771\) | −9.69248e8 | + | 7.04200e8i | −0.0761631 | + | 0.0553357i | ||||
\(772\) | 2.19589e9 | − | 6.75827e9i | 0.171771 | − | 0.528658i | ||||
\(773\) | 4.22902e9 | + | 1.30156e10i | 0.329315 | + | 1.01353i | 0.969455 | + | 0.245268i | \(0.0788761\pi\) |
−0.640141 | + | 0.768258i | \(0.721124\pi\) | |||||||
\(774\) | −2.07690e10 | −1.60999 | ||||||||
\(775\) | −5.49487e9 | − | 8.12006e8i | −0.424035 | − | 0.0626619i | ||||
\(776\) | 8.12471e9 | 0.624154 | ||||||||
\(777\) | 2.73178e8 | + | 8.40754e8i | 0.0208916 | + | 0.0642977i | ||||
\(778\) | 5.24699e9 | − | 1.61486e10i | 0.399468 | − | 1.22944i | ||||
\(779\) | −2.52017e8 | + | 1.83101e8i | −0.0191007 | + | 0.0138775i | ||||
\(780\) | 2.62663e9 | 0.198184 | ||||||||
\(781\) | −6.16257e9 | −0.462896 | ||||||||
\(782\) | 9.52475e9 | − | 6.92014e9i | 0.712246 | − | 0.517477i | ||||
\(783\) | −1.28586e10 | − | 9.34232e9i | −0.957255 | − | 0.695487i | ||||
\(784\) | 1.58518e10 | + | 1.15170e10i | 1.17482 | + | 0.853559i | ||||
\(785\) | 5.05701e9 | + | 1.55639e10i | 0.373121 | + | 1.14835i | ||||
\(786\) | 9.17663e9 | − | 6.66721e9i | 0.674069 | − | 0.489740i | ||||
\(787\) | −1.52375e9 | − | 4.68961e9i | −0.111430 | − | 0.342946i | 0.879756 | − | 0.475426i | \(-0.157706\pi\) |
−0.991186 | + | 0.132480i | \(0.957706\pi\) | |||||||
\(788\) | 1.52979e9 | − | 4.70822e9i | 0.111376 | − | 0.342779i | ||||
\(789\) | −7.64503e9 | − | 5.55444e9i | −0.554128 | − | 0.402597i | ||||
\(790\) | −2.48604e9 | + | 7.65124e9i | −0.179396 | + | 0.552125i | ||||
\(791\) | 5.07165e8 | − | 1.56089e9i | 0.0364360 | − | 0.112139i | ||||
\(792\) | 4.91702e9 | + | 3.57243e9i | 0.351693 | + | 0.255520i | ||||
\(793\) | −1.07790e9 | + | 3.31742e9i | −0.0767574 | + | 0.236235i | ||||
\(794\) | 9.51201e9 | + | 2.92750e10i | 0.674374 | + | 2.07551i | ||||
\(795\) | 3.06060e9 | − | 2.22366e9i | 0.216034 | − | 0.156958i | ||||
\(796\) | −1.02946e10 | − | 3.16836e10i | −0.723461 | − | 2.22658i | ||||
\(797\) | −1.93158e10 | − | 1.40337e10i | −1.35148 | − | 0.981905i | −0.998936 | − | 0.0461085i | \(-0.985318\pi\) |
−0.352540 | − | 0.935797i | \(-0.614682\pi\) | |||||||
\(798\) | 9.03339e7 | + | 6.56314e7i | 0.00629275 | + | 0.00457195i | ||||
\(799\) | −3.46866e9 | + | 2.52013e9i | −0.240573 | + | 0.174787i | ||||
\(800\) | 3.87847e9 | 0.267822 | ||||||||
\(801\) | 2.42866e9 | 0.166975 | ||||||||
\(802\) | 2.55437e10 | − | 1.85586e10i | 1.74853 | − | 1.27038i | ||||
\(803\) | 1.93832e9 | − | 5.96553e9i | 0.132106 | − | 0.406579i | ||||
\(804\) | 4.50729e9 | + | 1.38720e10i | 0.305858 | + | 0.941334i | ||||
\(805\) | −3.84496e9 | −0.259780 | ||||||||
\(806\) | −6.87985e9 | − | 1.01667e9i | −0.462814 | − | 0.0683924i | ||||
\(807\) | 1.11852e10 | 0.749178 | ||||||||
\(808\) | −1.22559e10 | − | 3.77199e10i | −0.817347 | − | 2.51554i | ||||
\(809\) | 3.67201e9 | − | 1.13013e10i | 0.243828 | − | 0.750426i | −0.751999 | − | 0.659165i | \(-0.770910\pi\) |
0.995827 | − | 0.0912616i | \(-0.0290899\pi\) | |||||||
\(810\) | −6.70952e9 | + | 4.87475e9i | −0.443602 | + | 0.322296i | ||||
\(811\) | 1.85743e10 | 1.22276 | 0.611379 | − | 0.791338i | \(-0.290615\pi\) | ||||
0.611379 | + | 0.791338i | \(0.290615\pi\) | |||||||
\(812\) | −9.56301e9 | −0.626828 | ||||||||
\(813\) | 3.59966e9 | − | 2.61531e9i | 0.234933 | − | 0.170689i | ||||
\(814\) | −4.29632e9 | − | 3.12146e9i | −0.279197 | − | 0.202849i | ||||
\(815\) | −1.53733e9 | − | 1.11694e9i | −0.0994757 | − | 0.0722733i | ||||
\(816\) | 9.72822e8 | + | 2.99404e9i | 0.0626784 | + | 0.192904i | ||||
\(817\) | 6.81640e8 | − | 4.95240e8i | 0.0437298 | − | 0.0317716i | ||||
\(818\) | 8.76215e9 | + | 2.69671e10i | 0.559724 | + | 1.72265i | ||||
\(819\) | 2.03161e8 | − | 6.25266e8i | 0.0129225 | − | 0.0397714i | ||||
\(820\) | 1.04830e10 | + | 7.61638e9i | 0.663955 | + | 0.482392i | ||||
\(821\) | 6.32751e9 | − | 1.94741e10i | 0.399054 | − | 1.22816i | −0.526705 | − | 0.850048i | \(-0.676573\pi\) |
0.925759 | − | 0.378114i | \(-0.123427\pi\) | |||||||
\(822\) | 1.80830e9 | − | 5.56539e9i | 0.113559 | − | 0.349497i | ||||
\(823\) | 2.58642e9 | + | 1.87914e9i | 0.161733 | + | 0.117506i | 0.665708 | − | 0.746212i | \(-0.268130\pi\) |
−0.503975 | + | 0.863718i | \(0.668130\pi\) | |||||||
\(824\) | −1.39526e10 | + | 4.29415e10i | −0.868777 | + | 2.67382i | ||||
\(825\) | −2.62872e8 | − | 8.09038e8i | −0.0162988 | − | 0.0501626i | ||||
\(826\) | 1.37020e9 | − | 9.95509e8i | 0.0845968 | − | 0.0614632i | ||||
\(827\) | 4.32382e9 | + | 1.33073e10i | 0.265826 | + | 0.818130i | 0.991502 | + | 0.130092i | \(0.0415274\pi\) |
−0.725675 | + | 0.688037i | \(0.758473\pi\) | |||||||
\(828\) | −3.83263e10 | − | 2.78457e10i | −2.34634 | − | 1.70472i | ||||
\(829\) | −2.11623e10 | − | 1.53753e10i | −1.29009 | − | 0.937308i | −0.290286 | − | 0.956940i | \(-0.593751\pi\) |
−0.999807 | + | 0.0196319i | \(0.993751\pi\) | |||||||
\(830\) | −2.36497e10 | + | 1.71825e10i | −1.43566 | + | 1.04307i | ||||
\(831\) | 8.49420e9 | 0.513475 | ||||||||
\(832\) | −1.75990e9 | −0.105939 | ||||||||
\(833\) | −3.76389e9 | + | 2.73463e9i | −0.225621 | + | 0.163923i | ||||
\(834\) | −2.00037e9 | + | 6.15651e9i | −0.119407 | + | 0.367497i | ||||
\(835\) | −4.34441e8 | − | 1.33707e9i | −0.0258243 | − | 0.0794789i | ||||
\(836\) | −4.58662e8 | −0.0271501 | ||||||||
\(837\) | −1.23864e10 | + | 6.47378e9i | −0.730139 | + | 0.381609i | ||||
\(838\) | −2.35489e10 | −1.38234 | ||||||||
\(839\) | −1.87476e9 | − | 5.76992e9i | −0.109592 | − | 0.337290i | 0.881189 | − | 0.472765i | \(-0.156744\pi\) |
−0.990781 | + | 0.135475i | \(0.956744\pi\) | |||||||
\(840\) | 7.71551e8 | − | 2.37459e9i | 0.0449146 | − | 0.138233i | ||||
\(841\) | −1.48310e10 | + | 1.07754e10i | −0.859775 | + | 0.624663i | ||||
\(842\) | −1.89964e10 | −1.09668 | ||||||||
\(843\) | 1.06620e10 | 0.612973 | ||||||||
\(844\) | −3.55583e10 | + | 2.58346e10i | −2.03583 | + | 1.47912i | ||||
\(845\) | −9.98304e9 | − | 7.25310e9i | −0.569199 | − | 0.413547i | ||||
\(846\) | 2.04118e10 | + | 1.48300e10i | 1.15900 | + | 0.842064i | ||||
\(847\) | 1.02431e9 | + | 3.15250e9i | 0.0579214 | + | 0.178264i | ||||
\(848\) | 1.66706e10 | − | 1.21119e10i | 0.938783 | − | 0.682066i | ||||
\(849\) | −1.35208e9 | − | 4.16129e9i | −0.0758275 | − | 0.233373i | ||||
\(850\) | −1.22613e9 | + | 3.77365e9i | −0.0684812 | + | 0.210763i | ||||
\(851\) | 1.80021e10 | + | 1.30793e10i | 1.00131 | + | 0.727498i | ||||
\(852\) | −9.63895e9 | + | 2.96656e10i | −0.533938 | + | 1.64329i | ||||
\(853\) | 8.36278e9 | − | 2.57380e10i | 0.461348 | − | 1.41988i | −0.402169 | − | 0.915565i | \(-0.631744\pi\) |
0.863518 | − | 0.504319i | \(-0.168256\pi\) | |||||||
\(854\) | 4.99003e9 | + | 3.62547e9i | 0.274158 | + | 0.199187i | ||||
\(855\) | 1.58103e8 | − | 4.86592e8i | 0.00865086 | − | 0.0266246i | ||||
\(856\) | 2.03351e10 | + | 6.25850e10i | 1.10812 | + | 3.41045i | ||||
\(857\) | 1.51986e10 | − | 1.10424e10i | 0.824842 | − | 0.599282i | −0.0932537 | − | 0.995642i | \(-0.529727\pi\) |
0.918095 | + | 0.396360i | \(0.129727\pi\) | |||||||
\(858\) | −3.29129e8 | − | 1.01295e9i | −0.0177894 | − | 0.0547501i | ||||
\(859\) | −2.53259e10 | − | 1.84003e10i | −1.36329 | − | 0.990488i | −0.998228 | − | 0.0595047i | \(-0.981048\pi\) |
−0.365062 | − | 0.930983i | \(-0.618952\pi\) | |||||||
\(860\) | −2.83538e10 | − | 2.06003e10i | −1.52008 | − | 1.10440i | ||||
\(861\) | −7.07614e8 | + | 5.14112e8i | −0.0377820 | + | 0.0274503i | ||||
\(862\) | 4.59225e10 | 2.44203 | ||||||||
\(863\) | −2.79380e10 | −1.47964 | −0.739822 | − | 0.672802i | \(-0.765090\pi\) | ||||
−0.739822 | + | 0.672802i | \(0.765090\pi\) | |||||||
\(864\) | 7.89508e9 | − | 5.73611e9i | 0.416446 | − | 0.302565i | ||||
\(865\) | −7.76061e7 | + | 2.38847e8i | −0.00407699 | + | 0.0125477i | ||||
\(866\) | 1.06950e10 | + | 3.29157e10i | 0.559586 | + | 1.72223i | ||||
\(867\) | 8.09641e9 | 0.421916 | ||||||||
\(868\) | −3.73974e9 | + | 7.53166e9i | −0.194099 | + | 0.390906i | ||||
\(869\) | 2.23067e9 | 0.115310 | ||||||||
\(870\) | −5.34033e9 | − | 1.64358e10i | −0.274948 | − | 0.846203i | ||||
\(871\) | −1.57448e9 | + | 4.84577e9i | −0.0807374 | + | 0.248484i | ||||
\(872\) | 2.89035e10 | − | 2.09996e10i | 1.47619 | − | 1.07252i | ||||
\(873\) | 4.67466e9 | 0.237794 | ||||||||
\(874\) | 2.81058e9 | 0.142399 | ||||||||
\(875\) | 3.49413e9 | − | 2.53863e9i | 0.176324 | − | 0.128107i | ||||
\(876\) | −2.56854e10 | − | 1.86615e10i | −1.29099 | − | 0.937956i | ||||
\(877\) | 1.22183e10 | + | 8.87713e9i | 0.611664 | + | 0.444400i | 0.850000 | − | 0.526783i | \(-0.176602\pi\) |
−0.238336 | + | 0.971183i | \(0.576602\pi\) | |||||||
\(878\) | 1.64608e10 | + | 5.06613e10i | 0.820770 | + | 2.52607i | ||||
\(879\) | −1.22700e9 | + | 8.91470e8i | −0.0609375 | + | 0.0442737i | ||||
\(880\) | 1.90856e9 | + | 5.87394e9i | 0.0944096 | + | 0.290563i | ||||
\(881\) | 8.50426e9 | − | 2.61734e10i | 0.419007 | − | 1.28957i | −0.489611 | − | 0.871941i | \(-0.662861\pi\) |
0.908618 | − | 0.417629i | \(-0.137139\pi\) | |||||||
\(882\) | 2.21491e10 | + | 1.60923e10i | 1.08697 | + | 0.789727i | ||||
\(883\) | 2.60704e9 | − | 8.02364e9i | 0.127434 | − | 0.392201i | −0.866903 | − | 0.498477i | \(-0.833893\pi\) |
0.994337 | + | 0.106276i | \(0.0338927\pi\) | |||||||
\(884\) | −1.04974e9 | + | 3.23078e9i | −0.0511093 | + | 0.157298i | ||||
\(885\) | 1.69316e9 | + | 1.23016e9i | 0.0821103 | + | 0.0596566i | ||||
\(886\) | −3.31313e9 | + | 1.01968e10i | −0.160037 | + | 0.492544i | ||||
\(887\) | −4.62885e9 | − | 1.42461e10i | −0.222710 | − | 0.685432i | −0.998516 | − | 0.0544599i | \(-0.982656\pi\) |
0.775806 | − | 0.630972i | \(-0.217344\pi\) | |||||||
\(888\) | −1.16900e10 | + | 8.49328e9i | −0.560234 | + | 0.407033i | ||||
\(889\) | 6.61879e8 | + | 2.03705e9i | 0.0315953 | + | 0.0972403i | ||||
\(890\) | 4.84884e9 | + | 3.52289e9i | 0.230554 | + | 0.167507i | ||||
\(891\) | 1.86038e9 | + | 1.35164e9i | 0.0881107 | + | 0.0640162i | ||||
\(892\) | 5.52417e10 | − | 4.01355e10i | 2.60609 | − | 1.89344i | ||||
\(893\) | −1.02354e9 | −0.0480977 | ||||||||
\(894\) | −1.20732e10 | −0.565119 | ||||||||
\(895\) | −1.75111e9 | + | 1.27226e9i | −0.0816458 | + | 0.0593192i | ||||
\(896\) | −1.80071e9 | + | 5.54202e9i | −0.0836307 | + | 0.257389i | ||||
\(897\) | 1.37909e9 | + | 4.24441e9i | 0.0637999 | + | 0.196356i | ||||
\(898\) | −5.50159e10 | −2.53525 | ||||||||
\(899\) | 5.21464e9 | + | 3.08506e10i | 0.239368 | + | 1.41614i | ||||
\(900\) | 1.59661e10 | 0.730045 | ||||||||
\(901\) | 1.51194e9 | + | 4.65326e9i | 0.0688647 | + | 0.211944i | ||||
\(902\) | 1.62367e9 | − | 4.99714e9i | 0.0736672 | − | 0.226724i | ||||
\(903\) | 1.91391e9 | − | 1.39053e9i | 0.0864995 | − | 0.0628456i | ||||
\(904\) | 2.68263e10 | 1.20773 | ||||||||
\(905\) | 2.07708e10 | 0.931502 | ||||||||
\(906\) | 1.57394e10 | − | 1.14353e10i | 0.703134 | − | 0.510857i | ||||
\(907\) | −3.29372e10 | − | 2.39302e10i | −1.46575 | − | 1.06493i | −0.981817 | − | 0.189828i | \(-0.939207\pi\) |
−0.483935 | − | 0.875104i | \(-0.660793\pi\) | |||||||
\(908\) | −6.06233e10 | − | 4.40454e10i | −2.68744 | − | 1.95254i | ||||
\(909\) | −7.05161e9 | − | 2.17026e10i | −0.311397 | − | 0.958382i | ||||
\(910\) | 1.31259e9 | − | 9.53655e8i | 0.0577411 | − | 0.0419514i | ||||
\(911\) | 5.67624e9 | + | 1.74697e10i | 0.248741 | + | 0.765545i | 0.994999 | + | 0.0998881i | \(0.0318485\pi\) |
−0.746258 | + | 0.665657i | \(0.768152\pi\) | |||||||
\(912\) | −2.32238e8 | + | 7.14756e8i | −0.0101380 | + | 0.0312015i | ||||
\(913\) | 6.55745e9 | + | 4.76427e9i | 0.285159 | + | 0.207180i | ||||
\(914\) | 9.26476e9 | − | 2.85140e10i | 0.401349 | − | 1.23523i | ||||
\(915\) | −2.35528e9 | + | 7.24881e9i | −0.101641 | + | 0.312819i | ||||
\(916\) | 1.91104e10 | + | 1.38845e10i | 0.821553 | + | 0.596893i | ||||
\(917\) | 1.48049e9 | − | 4.55648e9i | 0.0634035 | − | 0.195136i | ||||
\(918\) | 3.08514e9 | + | 9.49510e9i | 0.131621 | + | 0.405089i | ||||
\(919\) | 3.51671e10 | − | 2.55504e10i | 1.49463 | − | 1.08591i | 0.522166 | − | 0.852844i | \(-0.325124\pi\) |
0.972461 | − | 0.233066i | \(-0.0748760\pi\) | |||||||
\(920\) | −1.94209e10 | − | 5.97713e10i | −0.822264 | − | 2.53067i | ||||
\(921\) | −2.79740e9 | − | 2.03243e9i | −0.117990 | − | 0.0857250i | ||||
\(922\) | 2.86211e10 | + | 2.07945e10i | 1.20262 | + | 0.873755i | ||||
\(923\) | −8.81511e9 | + | 6.40455e9i | −0.368996 | + | 0.268091i | ||||
\(924\) | −1.28783e9 | −0.0537041 | ||||||||
\(925\) | −7.49938e9 | −0.311551 | ||||||||
\(926\) | 2.98389e10 | − | 2.16792e10i | 1.23494 | − | 0.897233i | ||||
\(927\) | −8.02779e9 | + | 2.47070e10i | −0.330991 | + | 1.01869i | ||||
\(928\) | −6.75112e9 | − | 2.07778e10i | −0.277305 | − | 0.853457i | ||||
\(929\) | −3.20792e10 | −1.31271 | −0.656354 | − | 0.754453i | \(-0.727902\pi\) | ||||
−0.656354 | + | 0.754453i | \(0.727902\pi\) | |||||||
\(930\) | −1.50330e10 | − | 2.22150e9i | −0.612851 | − | 0.0905642i | ||||
\(931\) | −1.11066e9 | −0.0451082 | ||||||||
\(932\) | −3.14994e10 | − | 9.69450e10i | −1.27452 | − | 3.92256i | ||||
\(933\) | 5.79514e9 | − | 1.78356e10i | 0.233603 | − | 0.718956i | ||||
\(934\) | −2.46236e9 | + | 1.78901e9i | −0.0988868 | + | 0.0718454i | ||||
\(935\) | −1.46650e9 | −0.0586733 | ||||||||
\(936\) | 1.07461e10 | 0.428338 | ||||||||
\(937\) | 3.39542e10 | − | 2.46691e10i | 1.34836 | − | 0.979638i | 0.349264 | − | 0.937024i | \(-0.386432\pi\) |
0.999092 | − | 0.0426131i | \(-0.0135683\pi\) | |||||||
\(938\) | 7.28895e9 | + | 5.29573e9i | 0.288373 | + | 0.209515i | ||||
\(939\) | 1.47739e10 | + | 1.07339e10i | 0.582326 | + | 0.423085i | ||||
\(940\) | 1.31566e10 | + | 4.04918e10i | 0.516649 | + | 1.59008i | ||||
\(941\) | −3.06031e10 | + | 2.22344e10i | −1.19729 | + | 0.869886i | −0.994016 | − | 0.109235i | \(-0.965160\pi\) |
−0.203279 | + | 0.979121i | \(0.565160\pi\) | |||||||
\(942\) | −1.03792e10 | − | 3.19439e10i | −0.404563 | − | 1.24512i | ||||
\(943\) | −6.80338e9 | + | 2.09387e10i | −0.264201 | + | 0.813126i | ||||
\(944\) | 9.22238e9 | + | 6.70045e9i | 0.356813 | + | 0.259240i | ||||
\(945\) | 1.00756e9 | − | 3.10096e9i | 0.0388383 | − | 0.119532i | ||||
\(946\) | −4.39159e9 | + | 1.35159e10i | −0.168656 | + | 0.519071i | ||||
\(947\) | −7.54800e9 | − | 5.48395e9i | −0.288807 | − | 0.209830i | 0.433943 | − | 0.900940i | \(-0.357122\pi\) |
−0.722750 | + | 0.691110i | \(0.757122\pi\) | |||||||
\(948\) | 3.48901e9 | − | 1.07381e10i | 0.133007 | − | 0.409352i | ||||
\(949\) | −3.42715e9 | − | 1.05477e10i | −0.130167 | − | 0.400613i | ||||
\(950\) | −7.66325e8 | + | 5.56768e8i | −0.0289988 | + | 0.0210689i | ||||
\(951\) | 6.24066e9 | + | 1.92068e10i | 0.235287 | + | 0.724140i | ||||
\(952\) | 2.61241e9 | + | 1.89803e9i | 0.0981325 | + | 0.0712974i | ||||
\(953\) | 1.76055e10 | + | 1.27912e10i | 0.658907 | + | 0.478724i | 0.866294 | − | 0.499535i | \(-0.166496\pi\) |
−0.207386 | + | 0.978259i | \(0.566496\pi\) | |||||||
\(954\) | 2.32931e10 | − | 1.69235e10i | 0.868578 | − | 0.631059i | ||||
\(955\) | −8.07409e8 | −0.0299973 | ||||||||
\(956\) | −6.07129e10 | −2.24739 | ||||||||
\(957\) | −3.87661e9 | + | 2.81652e9i | −0.142975 | + | 0.103878i | ||||
\(958\) | −2.03610e9 | + | 6.26647e9i | −0.0748204 | + | 0.230274i | ||||
\(959\) | −7.63782e8 | − | 2.35068e9i | −0.0279643 | − | 0.0860653i | ||||
\(960\) | −3.84551e9 | −0.140283 | ||||||||
\(961\) | 2.63367e10 | + | 7.95759e9i | 0.957258 | + | 0.289234i | ||||
\(962\) | −9.38959e9 | −0.340043 | ||||||||
\(963\) | 1.17001e10 | + | 3.60091e10i | 0.422179 | + | 1.29933i | ||||
\(964\) | −3.16774e10 | + | 9.74931e10i | −1.13889 | + | 3.50513i | ||||
\(965\) | 4.38809e9 | − | 3.18813e9i | 0.157192 | − | 0.114206i | ||||
\(966\) | 7.89155e9 | 0.281671 | ||||||||
\(967\) | 2.05812e10 | 0.731943 | 0.365971 | − | 0.930626i | \(-0.380737\pi\) | ||||
0.365971 | + | 0.930626i | \(0.380737\pi\) | |||||||
\(968\) | −4.38329e10 | + | 3.18465e10i | −1.55323 | + | 1.12849i | ||||
\(969\) | −1.44367e8 | − | 1.04889e8i | −0.00509723 | − | 0.00370335i | ||||
\(970\) | 9.33301e9 | + | 6.78083e9i | 0.328338 | + | 0.238551i | ||||
\(971\) | 1.29621e10 | + | 3.98931e10i | 0.454367 | + | 1.39840i | 0.871877 | + | 0.489725i | \(0.162903\pi\) |
−0.417510 | + | 0.908672i | \(0.637097\pi\) | |||||||
\(972\) | 5.06821e10 | − | 3.68227e10i | 1.77020 | − | 1.28613i | ||||
\(973\) | 8.44906e8 | + | 2.60035e9i | 0.0294045 | + | 0.0904977i | ||||
\(974\) | 1.18990e10 | − | 3.66213e10i | 0.412623 | − | 1.26992i | ||||
\(975\) | −1.21682e9 | − | 8.84075e8i | −0.0420448 | − | 0.0305473i | ||||
\(976\) | −1.28288e10 | + | 3.94830e10i | −0.441685 | + | 1.35937i | ||||
\(977\) | −1.35632e10 | + | 4.17432e10i | −0.465297 | + | 1.43204i | 0.393311 | + | 0.919406i | \(0.371330\pi\) |
−0.858608 | + | 0.512632i | \(0.828670\pi\) | |||||||
\(978\) | 3.15529e9 | + | 2.29245e9i | 0.107858 | + | 0.0783635i | ||||
\(979\) | 5.13537e8 | − | 1.58050e9i | 0.0174917 | − | 0.0538340i | ||||
\(980\) | 1.42764e10 | + | 4.39383e10i | 0.484538 | + | 1.49125i | ||||
\(981\) | 1.66300e10 | − | 1.20824e10i | 0.562407 | − | 0.408613i | ||||
\(982\) | 1.77498e9 | + | 5.46284e9i | 0.0598142 | + | 0.184089i | ||||
\(983\) | 1.92024e10 | + | 1.39514e10i | 0.644791 | + | 0.468468i | 0.861493 | − | 0.507770i | \(-0.169530\pi\) |
−0.216702 | + | 0.976238i | \(0.569530\pi\) | |||||||
\(984\) | −1.15662e10 | − | 8.40333e9i | −0.386997 | − | 0.281170i | ||||
\(985\) | 3.05701e9 | − | 2.22105e9i | 0.101922 | − | 0.0740510i | ||||
\(986\) | 2.23505e10 | 0.742537 | ||||||||
\(987\) | −2.87389e9 | −0.0951393 | ||||||||
\(988\) | −6.56083e8 | + | 4.76672e8i | −0.0216426 | + | 0.0157243i | ||||
\(989\) | 1.84013e10 | − | 5.66335e10i | 0.604870 | − | 1.86160i | ||||
\(990\) | 2.66675e9 | + | 8.20742e9i | 0.0873494 | + | 0.268834i | ||||
\(991\) | −2.55534e10 | −0.834048 | −0.417024 | − | 0.908895i | \(-0.636927\pi\) | ||||
−0.417024 | + | 0.908895i | \(0.636927\pi\) | |||||||
\(992\) | −1.90043e10 | − | 2.80837e9i | −0.618105 | − | 0.0913405i | ||||
\(993\) | 2.68649e9 | 0.0870688 | ||||||||
\(994\) | 5.95393e9 | + | 1.83243e10i | 0.192288 | + | 0.591800i | ||||
\(995\) | 7.85778e9 | − | 2.41837e10i | 0.252883 | − | 0.778292i | ||||
\(996\) | 3.31910e10 | − | 2.41147e10i | 1.06442 | − | 0.773346i | ||||
\(997\) | −2.06205e10 | −0.658970 | −0.329485 | − | 0.944161i | \(-0.606875\pi\) | ||||
−0.329485 | + | 0.944161i | \(0.606875\pi\) | |||||||
\(998\) | −7.33560e10 | −2.33603 | ||||||||
\(999\) | −1.52659e10 | + | 1.10913e10i | −0.484442 | + | 0.351968i |
(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 | 31.8.d.a.4.1 | ✓ | 68 | |
31.8 | even | 5 | inner | 31.8.d.a.8.1 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
31.8.d.a.4.1 | ✓ | 68 | 1.1 | even | 1 | trivial | |
31.8.d.a.8.1 | yes | 68 | 31.8 | even | 5 | inner |