Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,8,Mod(4,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.e (of order \(14\), degree \(6\), 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: | \(9.05916573904\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 29.4 |
Dual form | 29.8.e.a.22.9 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04671 | − | 0.238905i | −0.0925170 | − | 0.0211164i | 0.176012 | − | 0.984388i | \(-0.443680\pi\) |
−0.268529 | + | 0.963272i | \(0.586537\pi\) | |||||||
\(3\) | −39.6898 | − | 82.4167i | −0.848700 | − | 1.76234i | −0.612183 | − | 0.790716i | \(-0.709708\pi\) |
−0.236517 | − | 0.971627i | \(-0.576006\pi\) | |||||||
\(4\) | −114.285 | − | 55.0370i | −0.892855 | − | 0.429976i | ||||
\(5\) | 73.7799 | − | 323.251i | 0.263963 | − | 1.15650i | −0.652947 | − | 0.757404i | \(-0.726468\pi\) |
0.916910 | − | 0.399094i | \(-0.130675\pi\) | |||||||
\(6\) | 21.8540 | + | 95.7484i | 0.0413048 | + | 0.180968i | ||||
\(7\) | 216.705 | − | 104.360i | 0.238796 | − | 0.114998i | −0.310659 | − | 0.950521i | \(-0.600550\pi\) |
0.549455 | + | 0.835523i | \(0.314835\pi\) | |||||||
\(8\) | 213.918 | + | 170.594i | 0.147718 | + | 0.117801i | ||||
\(9\) | −3853.65 | + | 4832.33i | −1.76207 | + | 2.20957i | ||||
\(10\) | −154.452 | + | 320.724i | −0.0488421 | + | 0.101422i | ||||
\(11\) | 5753.83 | − | 4588.53i | 1.30341 | − | 1.03944i | 0.307278 | − | 0.951620i | \(-0.400582\pi\) |
0.996136 | − | 0.0878185i | \(-0.0279896\pi\) | |||||||
\(12\) | 11603.4i | 1.93844i | ||||||||
\(13\) | −1732.13 | − | 2172.02i | −0.218665 | − | 0.274197i | 0.660385 | − | 0.750927i | \(-0.270393\pi\) |
−0.879049 | + | 0.476731i | \(0.841822\pi\) | |||||||
\(14\) | −251.760 | + | 57.4625i | −0.0245210 | + | 0.00559676i | ||||
\(15\) | −29569.6 | + | 6749.06i | −2.26217 | + | 0.516326i | ||||
\(16\) | 9940.11 | + | 12464.5i | 0.606696 | + | 0.760773i | ||||
\(17\) | − | 25922.8i | − | 1.27971i | −0.768497 | − | 0.639854i | \(-0.778995\pi\) | ||
0.768497 | − | 0.639854i | \(-0.221005\pi\) | |||||||
\(18\) | 5188.13 | − | 4137.39i | 0.209680 | − | 0.167214i | ||||
\(19\) | −5554.62 | + | 11534.3i | −0.185788 | + | 0.385792i | −0.972971 | − | 0.230927i | \(-0.925824\pi\) |
0.787183 | + | 0.616719i | \(0.211538\pi\) | |||||||
\(20\) | −26222.7 | + | 32882.3i | −0.732947 | + | 0.919087i | ||||
\(21\) | −17202.0 | − | 13718.1i | −0.405332 | − | 0.323241i | ||||
\(22\) | −7118.81 | + | 3428.24i | −0.142537 | + | 0.0686423i | ||||
\(23\) | 7199.25 | + | 31542.0i | 0.123379 | + | 0.540557i | 0.998404 | + | 0.0564793i | \(0.0179875\pi\) |
−0.875025 | + | 0.484077i | \(0.839155\pi\) | |||||||
\(24\) | 5569.42 | − | 24401.2i | 0.0822376 | − | 0.360307i | ||||
\(25\) | −28659.4 | − | 13801.7i | −0.366841 | − | 0.176661i | ||||
\(26\) | 1294.13 | + | 2687.29i | 0.0144401 | + | 0.0299853i | ||||
\(27\) | 356174. | + | 81294.4i | 3.48248 | + | 0.794854i | ||||
\(28\) | −30509.9 | −0.262656 | ||||||||
\(29\) | 42124.1 | − | 124400.i | 0.320729 | − | 0.947171i | ||||
\(30\) | 32563.1 | 0.220192 | ||||||||
\(31\) | −123026. | − | 28079.9i | −0.741705 | − | 0.169289i | −0.165059 | − | 0.986284i | \(-0.552781\pi\) |
−0.576646 | + | 0.816994i | \(0.695639\pi\) | |||||||
\(32\) | −22622.2 | − | 46975.4i | −0.122042 | − | 0.253423i | ||||
\(33\) | −606539. | − | 292094.i | −2.93806 | − | 1.41489i | ||||
\(34\) | −6193.08 | + | 27133.7i | −0.0270228 | + | 0.118395i | ||||
\(35\) | −17745.9 | − | 77749.8i | −0.0699616 | − | 0.306522i | ||||
\(36\) | 706374. | − | 340172.i | 2.52334 | − | 1.21518i | ||||
\(37\) | 265079. | + | 211393.i | 0.860338 | + | 0.686097i | 0.950801 | − | 0.309803i | \(-0.100263\pi\) |
−0.0904626 | + | 0.995900i | \(0.528835\pi\) | |||||||
\(38\) | 8569.67 | − | 10746.0i | 0.0253350 | − | 0.0317691i | ||||
\(39\) | −110263. | + | 228963.i | −0.297648 | + | 0.618073i | ||||
\(40\) | 70927.4 | − | 56562.7i | 0.175228 | − | 0.139740i | ||||
\(41\) | − | 307097.i | − | 0.695877i | −0.937517 | − | 0.347938i | \(-0.886882\pi\) | ||
0.937517 | − | 0.347938i | \(-0.113118\pi\) | |||||||
\(42\) | 14728.2 | + | 18468.5i | 0.0306744 | + | 0.0384644i | ||||
\(43\) | −366880. | + | 83738.0i | −0.703695 | + | 0.160614i | −0.559372 | − | 0.828917i | \(-0.688958\pi\) |
−0.144323 | + | 0.989531i | \(0.546100\pi\) | |||||||
\(44\) | −910118. | + | 207728.i | −1.61069 | + | 0.367631i | ||||
\(45\) | 1.27773e6 | + | 1.60223e6i | 2.09024 | + | 2.62108i | ||||
\(46\) | − | 34735.2i | − | 0.0526160i | ||||||
\(47\) | 99403.4 | − | 79271.6i | 0.139656 | − | 0.111372i | −0.551170 | − | 0.834393i | \(-0.685819\pi\) |
0.690826 | + | 0.723021i | \(0.257247\pi\) | |||||||
\(48\) | 632762. | − | 1.31394e6i | 0.825840 | − | 1.71488i | ||||
\(49\) | −477400. | + | 598641.i | −0.579691 | + | 0.726909i | ||||
\(50\) | 26700.8 | + | 21293.2i | 0.0302086 | + | 0.0240905i | ||||
\(51\) | −2.13647e6 | + | 1.02887e6i | −2.25528 | + | 1.08609i | ||||
\(52\) | 78415.7 | + | 343562.i | 0.0773377 | + | 0.338839i | ||||
\(53\) | −152523. | + | 668248.i | −0.140725 | + | 0.616555i | 0.854543 | + | 0.519381i | \(0.173837\pi\) |
−0.995267 | + | 0.0971740i | \(0.969020\pi\) | |||||||
\(54\) | −353389. | − | 170183.i | −0.305404 | − | 0.147075i | ||||
\(55\) | −1.05873e6 | − | 2.19847e6i | −0.858055 | − | 1.78177i | ||||
\(56\) | 64160.3 | + | 14644.2i | 0.0488212 | + | 0.0111431i | ||||
\(57\) | 1.17108e6 | 0.837576 | ||||||||
\(58\) | −73811.5 | + | 120147.i | −0.0496737 | + | 0.0808568i | ||||
\(59\) | −1.94944e6 | −1.23574 | −0.617871 | − | 0.786279i | \(-0.712005\pi\) | ||||
−0.617871 | + | 0.786279i | \(0.712005\pi\) | |||||||
\(60\) | 3.75082e6 | + | 856100.i | 2.24180 | + | 0.511676i | ||||
\(61\) | −425268. | − | 883078.i | −0.239888 | − | 0.498132i | 0.745915 | − | 0.666042i | \(-0.232013\pi\) |
−0.985802 | + | 0.167909i | \(0.946298\pi\) | |||||||
\(62\) | 122064. | + | 58783.0i | 0.0650455 | + | 0.0313243i | ||||
\(63\) | −330807. | + | 1.44936e6i | −0.166680 | + | 0.730271i | ||||
\(64\) | −441635. | − | 1.93493e6i | −0.210588 | − | 0.922645i | ||||
\(65\) | −829904. | + | 399661.i | −0.374827 | + | 0.180507i | ||||
\(66\) | 565088. | + | 450643.i | 0.241943 | + | 0.192943i | ||||
\(67\) | 625372. | − | 784191.i | 0.254025 | − | 0.318537i | −0.638425 | − | 0.769684i | \(-0.720414\pi\) |
0.892450 | + | 0.451147i | \(0.148985\pi\) | |||||||
\(68\) | −1.42671e6 | + | 2.96260e6i | −0.550244 | + | 1.14259i | ||||
\(69\) | 2.31385e6 | − | 1.84523e6i | 0.847935 | − | 0.676206i | ||||
\(70\) | 85621.1i | 0.0298358i | ||||||||
\(71\) | 1.16903e6 | + | 1.46592e6i | 0.387635 | + | 0.486079i | 0.936914 | − | 0.349560i | \(-0.113669\pi\) |
−0.549279 | + | 0.835639i | \(0.685098\pi\) | |||||||
\(72\) | −1.64873e6 | + | 376312.i | −0.520578 | + | 0.118819i | ||||
\(73\) | 2.39120e6 | − | 545775.i | 0.719425 | − | 0.164204i | 0.152892 | − | 0.988243i | \(-0.451141\pi\) |
0.566533 | + | 0.824039i | \(0.308284\pi\) | |||||||
\(74\) | −226958. | − | 284596.i | −0.0651080 | − | 0.0816428i | ||||
\(75\) | 2.90980e6i | 0.796432i | ||||||||
\(76\) | 1.26963e6 | − | 1.01249e6i | 0.331763 | − | 0.264572i | ||||
\(77\) | 768028. | − | 1.59483e6i | 0.191716 | − | 0.398103i | ||||
\(78\) | 170114. | − | 213316.i | 0.0405890 | − | 0.0508970i | ||||
\(79\) | −141262. | − | 112652.i | −0.0322351 | − | 0.0257067i | 0.607240 | − | 0.794519i | \(-0.292277\pi\) |
−0.639475 | + | 0.768812i | \(0.720848\pi\) | |||||||
\(80\) | 4.76254e6 | − | 2.29352e6i | 1.03998 | − | 0.500827i | ||||
\(81\) | −4.42855e6 | − | 1.94028e7i | −0.925900 | − | 4.05663i | ||||
\(82\) | −73367.0 | + | 321442.i | −0.0146944 | + | 0.0643804i | ||||
\(83\) | 8.28917e6 | + | 3.99186e6i | 1.59125 | + | 0.766305i | 0.999215 | − | 0.0396092i | \(-0.0126113\pi\) |
0.592033 | + | 0.805914i | \(0.298326\pi\) | |||||||
\(84\) | 1.21093e6 | + | 2.51453e6i | 0.222916 | + | 0.462891i | ||||
\(85\) | −8.37957e6 | − | 1.91258e6i | −1.47998 | − | 0.337795i | ||||
\(86\) | 404022. | 0.0684953 | ||||||||
\(87\) | −1.19246e7 | + | 1.46569e6i | −1.94144 | + | 0.238630i | ||||
\(88\) | 2.01362e6 | 0.314984 | ||||||||
\(89\) | 1.42379e6 | + | 324971.i | 0.214083 | + | 0.0488630i | 0.328217 | − | 0.944602i | \(-0.393552\pi\) |
−0.114134 | + | 0.993465i | \(0.536409\pi\) | |||||||
\(90\) | −954636. | − | 1.98232e6i | −0.138035 | − | 0.286633i | ||||
\(91\) | −602033. | − | 289924.i | −0.0837482 | − | 0.0403310i | ||||
\(92\) | 913205. | − | 4.00101e6i | 0.122267 | − | 0.535689i | ||||
\(93\) | 2.56862e6 | + | 1.12539e7i | 0.331139 | + | 1.45081i | ||||
\(94\) | −122985. | + | 59226.4i | −0.0152723 | + | 0.00735475i | ||||
\(95\) | 3.31865e6 | + | 2.64653e6i | 0.397126 | + | 0.316698i | ||||
\(96\) | −2.97369e6 | + | 3.72889e6i | −0.343041 | + | 0.430160i | ||||
\(97\) | 2.29026e6 | − | 4.75577e6i | 0.254791 | − | 0.529078i | −0.733862 | − | 0.679299i | \(-0.762284\pi\) |
0.988653 | + | 0.150220i | \(0.0479983\pi\) | |||||||
\(98\) | 642718. | − | 512551.i | 0.0689810 | − | 0.0550105i | ||||
\(99\) | 4.54870e7i | 4.71155i | ||||||||
\(100\) | 2.51576e6 | + | 3.15466e6i | 0.251576 | + | 0.315466i | ||||
\(101\) | 7.32061e6 | − | 1.67088e6i | 0.707005 | − | 0.161369i | 0.146124 | − | 0.989266i | \(-0.453320\pi\) |
0.560880 | + | 0.827897i | \(0.310463\pi\) | |||||||
\(102\) | 2.48207e6 | − | 566516.i | 0.231586 | − | 0.0528581i | ||||
\(103\) | −5.96243e6 | − | 7.47664e6i | −0.537641 | − | 0.674181i | 0.436609 | − | 0.899652i | \(-0.356179\pi\) |
−0.974250 | + | 0.225471i | \(0.927608\pi\) | |||||||
\(104\) | − | 760125.i | − | 0.0662625i | ||||||
\(105\) | −5.70355e6 | + | 4.54843e6i | −0.480820 | + | 0.383441i | ||||
\(106\) | 319295. | − | 663023.i | 0.0260388 | − | 0.0540702i | ||||
\(107\) | −1.03059e7 | + | 1.29232e7i | −0.813286 | + | 1.01983i | 0.186019 | + | 0.982546i | \(0.440441\pi\) |
−0.999305 | + | 0.0372818i | \(0.988130\pi\) | |||||||
\(108\) | −3.62313e7 | − | 2.88935e7i | −2.76758 | − | 2.20707i | ||||
\(109\) | 7.35104e6 | − | 3.54007e6i | 0.543696 | − | 0.261830i | −0.141814 | − | 0.989893i | \(-0.545294\pi\) |
0.685510 | + | 0.728063i | \(0.259579\pi\) | |||||||
\(110\) | 582956. | + | 2.55410e6i | 0.0417601 | + | 0.182963i | ||||
\(111\) | 6.90141e6 | − | 3.02371e7i | 0.478969 | − | 2.09850i | ||||
\(112\) | 3.45487e6 | + | 1.66378e6i | 0.232364 | + | 0.111900i | ||||
\(113\) | 1.78315e6 | + | 3.70274e6i | 0.116255 | + | 0.241407i | 0.950975 | − | 0.309269i | \(-0.100084\pi\) |
−0.834719 | + | 0.550676i | \(0.814370\pi\) | |||||||
\(114\) | −1.22578e6 | − | 279776.i | −0.0774900 | − | 0.0176866i | ||||
\(115\) | 1.07271e7 | 0.657720 | ||||||||
\(116\) | −1.16608e7 | + | 1.18988e7i | −0.693626 | + | 0.707781i | ||||
\(117\) | 1.71709e7 | 0.991160 | ||||||||
\(118\) | 2.04050e6 | + | 465731.i | 0.114327 | + | 0.0260944i | ||||
\(119\) | −2.70530e6 | − | 5.61761e6i | −0.147164 | − | 0.305589i | ||||
\(120\) | −7.47681e6 | − | 3.60064e6i | −0.394986 | − | 0.190215i | ||||
\(121\) | 7.71568e6 | − | 3.38046e7i | 0.395936 | − | 1.73471i | ||||
\(122\) | 234161. | + | 1.02592e6i | 0.0116749 | + | 0.0511512i | ||||
\(123\) | −2.53099e7 | + | 1.21886e7i | −1.22637 | + | 0.590591i | ||||
\(124\) | 1.25147e7 | + | 9.98010e6i | 0.589445 | + | 0.470066i | ||||
\(125\) | 9.57463e6 | − | 1.20062e7i | 0.438467 | − | 0.549820i | ||||
\(126\) | 692517. | − | 1.43803e6i | 0.0308414 | − | 0.0640428i | ||||
\(127\) | −2.36541e7 | + | 1.88635e7i | −1.02469 | + | 0.817165i | −0.983303 | − | 0.181978i | \(-0.941750\pi\) |
−0.0413903 | + | 0.999143i | \(0.513179\pi\) | |||||||
\(128\) | 8.80458e6i | 0.371085i | ||||||||
\(129\) | 2.14628e7 | + | 2.69135e7i | 0.880283 | + | 1.10384i | ||||
\(130\) | 964150. | − | 220061.i | 0.0384895 | − | 0.00878499i | ||||
\(131\) | 5.64282e6 | − | 1.28794e6i | 0.219304 | − | 0.0500547i | −0.111457 | − | 0.993769i | \(-0.535552\pi\) |
0.330761 | + | 0.943715i | \(0.392695\pi\) | |||||||
\(132\) | 5.32426e7 | + | 6.67642e7i | 2.01489 | + | 2.52659i | ||||
\(133\) | 3.07922e6i | 0.113491i | ||||||||
\(134\) | −841930. | + | 671417.i | −0.0302280 | + | 0.0241060i | ||||
\(135\) | 5.25569e7 | − | 1.09136e8i | 1.83849 | − | 3.81767i | ||||
\(136\) | 4.42227e6 | − | 5.54535e6i | 0.150751 | − | 0.189035i | ||||
\(137\) | 9.90741e6 | + | 7.90090e6i | 0.329184 | + | 0.262515i | 0.774109 | − | 0.633053i | \(-0.218198\pi\) |
−0.444925 | + | 0.895568i | \(0.646770\pi\) | |||||||
\(138\) | −2.86276e6 | + | 1.37863e6i | −0.0927274 | + | 0.0446552i | ||||
\(139\) | −9.06651e6 | − | 3.97230e7i | −0.286344 | − | 1.25456i | −0.889501 | − | 0.456933i | \(-0.848948\pi\) |
0.603157 | − | 0.797623i | \(-0.293909\pi\) | |||||||
\(140\) | −2.25102e6 | + | 9.86236e6i | −0.0693316 | + | 0.303761i | ||||
\(141\) | −1.04786e7 | − | 5.04623e6i | −0.314801 | − | 0.151600i | ||||
\(142\) | −873424. | − | 1.81368e6i | −0.0255986 | − | 0.0531560i | ||||
\(143\) | −1.99327e7 | − | 4.54952e6i | −0.570021 | − | 0.130104i | ||||
\(144\) | −9.85384e7 | −2.75002 | ||||||||
\(145\) | −3.71046e7 | − | 2.27949e7i | −1.01074 | − | 0.620940i | ||||
\(146\) | −2.63328e6 | −0.0700264 | ||||||||
\(147\) | 6.82859e7 | + | 1.55858e7i | 1.77305 | + | 0.404687i | ||||
\(148\) | −1.86602e7 | − | 3.87483e7i | −0.473152 | − | 0.982510i | ||||
\(149\) | −4.84064e7 | − | 2.33113e7i | −1.19881 | − | 0.577318i | −0.275475 | − | 0.961308i | \(-0.588835\pi\) |
−0.923337 | + | 0.383991i | \(0.874550\pi\) | |||||||
\(150\) | 695165. | − | 3.04572e6i | 0.0168178 | − | 0.0736835i | ||||
\(151\) | −6.74846e6 | − | 2.95669e7i | −0.159509 | − | 0.698855i | −0.989911 | − | 0.141690i | \(-0.954746\pi\) |
0.830402 | − | 0.557165i | \(-0.188111\pi\) | |||||||
\(152\) | −3.15591e6 | + | 1.51981e6i | −0.0728907 | + | 0.0351023i | ||||
\(153\) | 1.25268e8 | + | 9.98975e7i | 2.82760 | + | 2.25494i | ||||
\(154\) | −1.18491e6 | + | 1.48584e6i | −0.0261435 | + | 0.0327830i | ||||
\(155\) | −1.81537e7 | + | 3.76965e7i | −0.391565 | + | 0.813093i | ||||
\(156\) | 2.52029e7 | − | 2.00986e7i | 0.531514 | − | 0.423868i | ||||
\(157\) | − | 3.70291e7i | − | 0.763651i | −0.924235 | − | 0.381825i | \(-0.875296\pi\) | ||
0.924235 | − | 0.381825i | \(-0.124704\pi\) | |||||||
\(158\) | 120947. | + | 151663.i | 0.00243947 | + | 0.00305899i | ||||
\(159\) | 6.11283e7 | − | 1.39521e7i | 1.20601 | − | 0.275265i | ||||
\(160\) | −1.68539e7 | + | 3.84679e6i | −0.325297 | + | 0.0742470i | ||||
\(161\) | 4.85183e6 | + | 6.08400e6i | 0.0916252 | + | 0.114894i | ||||
\(162\) | 2.13671e7i | 0.394859i | ||||||||
\(163\) | −4.50989e7 | + | 3.59652e7i | −0.815660 | + | 0.650467i | −0.939772 | − | 0.341801i | \(-0.888963\pi\) |
0.124112 | + | 0.992268i | \(0.460392\pi\) | |||||||
\(164\) | −1.69017e7 | + | 3.50967e7i | −0.299211 | + | 0.621317i | ||||
\(165\) | −1.39170e8 | + | 1.74514e8i | −2.41186 | + | 3.02437i | ||||
\(166\) | −7.72269e6 | − | 6.15864e6i | −0.131036 | − | 0.104498i | ||||
\(167\) | −6.69514e7 | + | 3.22421e7i | −1.11238 | + | 0.535692i | −0.897529 | − | 0.440955i | \(-0.854640\pi\) |
−0.214848 | + | 0.976648i | \(0.568925\pi\) | |||||||
\(168\) | −1.33958e6 | − | 5.86910e6i | −0.0217965 | − | 0.0954968i | ||||
\(169\) | 1.22455e7 | − | 5.36508e7i | 0.195151 | − | 0.855014i | ||||
\(170\) | 8.31405e6 | + | 4.00384e6i | 0.129790 | + | 0.0625036i | ||||
\(171\) | −3.43319e7 | − | 7.12909e7i | −0.525063 | − | 1.09030i | ||||
\(172\) | 4.65378e7 | + | 1.06219e7i | 0.697358 | + | 0.159167i | ||||
\(173\) | 5.21802e7 | 0.766204 | 0.383102 | − | 0.923706i | \(-0.374856\pi\) | ||||
0.383102 | + | 0.923706i | \(0.374856\pi\) | |||||||
\(174\) | 1.28317e7 | + | 1.31468e6i | 0.184655 | + | 0.0189189i | ||||
\(175\) | −7.65099e6 | −0.107916 | ||||||||
\(176\) | 1.14387e8 | + | 2.61082e7i | 1.58155 | + | 0.360979i | ||||
\(177\) | 7.73729e7 | + | 1.60666e8i | 1.04877 | + | 2.17780i | ||||
\(178\) | −1.41266e6 | − | 680301.i | −0.0187745 | − | 0.00904131i | ||||
\(179\) | −3.33344e6 | + | 1.46048e7i | −0.0434418 | + | 0.190331i | −0.991993 | − | 0.126293i | \(-0.959692\pi\) |
0.948551 | + | 0.316624i | \(0.102549\pi\) | |||||||
\(180\) | −5.78446e7 | − | 2.53434e8i | −0.739280 | − | 3.23900i | ||||
\(181\) | −7.68387e7 | + | 3.70036e7i | −0.963174 | + | 0.463840i | −0.848286 | − | 0.529538i | \(-0.822365\pi\) |
−0.114888 | + | 0.993378i | \(0.536651\pi\) | |||||||
\(182\) | 560890. | + | 447295.i | 0.00689649 | + | 0.00549976i | ||||
\(183\) | −5.59015e7 | + | 7.00983e7i | −0.674287 | + | 0.845529i | ||||
\(184\) | −3.84082e6 | + | 7.97554e6i | −0.0454528 | + | 0.0943838i | ||||
\(185\) | 8.78906e7 | − | 7.00904e7i | 1.02057 | − | 0.813875i | ||||
\(186\) | − | 1.23932e7i | − | 0.141217i | ||||||
\(187\) | −1.18947e8 | − | 1.49155e8i | −1.33018 | − | 1.66799i | ||||
\(188\) | −1.57232e7 | + | 3.58873e6i | −0.172580 | + | 0.0393902i | ||||
\(189\) | 8.56686e7 | − | 1.95533e7i | 0.923008 | − | 0.210671i | ||||
\(190\) | −2.84139e6 | − | 3.56300e6i | −0.0300534 | − | 0.0376858i | ||||
\(191\) | − | 5.82871e7i | − | 0.605279i | −0.953105 | − | 0.302640i | \(-0.902132\pi\) | ||
0.953105 | − | 0.302640i | \(-0.0978679\pi\) | |||||||
\(192\) | −1.41942e8 | + | 1.13195e8i | −1.44729 | + | 1.15418i | ||||
\(193\) | −7.30465e6 | + | 1.51683e7i | −0.0731390 | + | 0.151875i | −0.934333 | − | 0.356403i | \(-0.884003\pi\) |
0.861194 | + | 0.508277i | \(0.169717\pi\) | |||||||
\(194\) | −3.53341e6 | + | 4.43076e6i | −0.0347447 | + | 0.0435685i | ||||
\(195\) | 6.58774e7 | + | 5.25355e7i | 0.636232 | + | 0.507378i | ||||
\(196\) | 8.75074e7 | − | 4.21413e7i | 0.830134 | − | 0.399772i | ||||
\(197\) | −1.16048e7 | − | 5.08438e7i | −0.108144 | − | 0.473812i | −0.999778 | − | 0.0210546i | \(-0.993298\pi\) |
0.891634 | − | 0.452757i | \(-0.149560\pi\) | |||||||
\(198\) | 1.08671e7 | − | 4.76117e7i | 0.0994910 | − | 0.435899i | ||||
\(199\) | 1.04050e8 | + | 5.01078e7i | 0.935958 | + | 0.450733i | 0.838741 | − | 0.544530i | \(-0.183292\pi\) |
0.0972162 | + | 0.995263i | \(0.469006\pi\) | |||||||
\(200\) | −3.77629e6 | − | 7.84155e6i | −0.0333780 | − | 0.0693101i | ||||
\(201\) | −8.94513e7 | − | 2.04167e7i | −0.776963 | − | 0.177337i | ||||
\(202\) | −8.06173e6 | −0.0688175 | ||||||||
\(203\) | −3.85387e6 | − | 3.13543e7i | −0.0323341 | − | 0.263063i | ||||
\(204\) | 3.00793e8 | 2.48063 | ||||||||
\(205\) | −9.92694e7 | − | 2.26576e7i | −0.804780 | − | 0.183686i | ||||
\(206\) | 4.45472e6 | + | 9.25033e6i | 0.0355047 | + | 0.0737262i | ||||
\(207\) | −1.80165e8 | − | 8.67627e7i | −1.41180 | − | 0.679887i | ||||
\(208\) | 9.85561e6 | − | 4.31803e7i | 0.0759385 | − | 0.332708i | ||||
\(209\) | 2.09650e7 | + | 9.18539e7i | 0.158849 | + | 0.695962i | ||||
\(210\) | 7.05661e6 | − | 3.39828e6i | 0.0525809 | − | 0.0253216i | ||||
\(211\) | 1.34237e8 | + | 1.07050e8i | 0.983746 | + | 0.784511i | 0.976512 | − | 0.215462i | \(-0.0691259\pi\) |
0.00723404 | + | 0.999974i | \(0.497697\pi\) | |||||||
\(212\) | 5.42095e7 | − | 6.79766e7i | 0.390751 | − | 0.489986i | ||||
\(213\) | 7.44177e7 | − | 1.54530e8i | 0.527652 | − | 1.09568i | ||||
\(214\) | 1.38747e7 | − | 1.10647e7i | 0.0967778 | − | 0.0771777i | ||||
\(215\) | 1.24772e8i | 0.856218i | ||||||||
\(216\) | 6.23236e7 | + | 7.81514e7i | 0.420789 | + | 0.527653i | ||||
\(217\) | −2.95908e7 | + | 6.75391e6i | −0.196584 | + | 0.0448690i | ||||
\(218\) | −8.54015e6 | + | 1.94923e6i | −0.0558300 | + | 0.0127428i | ||||
\(219\) | −1.39887e8 | − | 1.75413e8i | −0.899960 | − | 1.12851i | ||||
\(220\) | 3.09523e8i | 1.95980i | ||||||||
\(221\) | −5.63049e7 | + | 4.49016e7i | −0.350892 | + | 0.279827i | ||||
\(222\) | −1.44476e7 | + | 3.00007e7i | −0.0886256 | + | 0.184033i | ||||
\(223\) | 1.33525e8 | − | 1.67435e8i | 0.806298 | − | 1.01107i | −0.193254 | − | 0.981149i | \(-0.561904\pi\) |
0.999552 | − | 0.0299170i | \(-0.00952429\pi\) | |||||||
\(224\) | −9.80469e6 | − | 7.81898e6i | −0.0582862 | − | 0.0464817i | ||||
\(225\) | 1.77138e8 | − | 8.53051e7i | 1.03675 | − | 0.499271i | ||||
\(226\) | −981835. | − | 4.30170e6i | −0.00565795 | − | 0.0247891i | ||||
\(227\) | 4.84779e7 | − | 2.12396e8i | 0.275077 | − | 1.20519i | −0.628859 | − | 0.777520i | \(-0.716478\pi\) |
0.903935 | − | 0.427669i | \(-0.140665\pi\) | |||||||
\(228\) | −1.33837e8 | − | 6.44527e7i | −0.747834 | − | 0.360138i | ||||
\(229\) | 1.33916e8 | + | 2.78079e8i | 0.736898 | + | 1.53018i | 0.844242 | + | 0.535962i | \(0.180051\pi\) |
−0.107345 | + | 0.994222i | \(0.534235\pi\) | |||||||
\(230\) | −1.12282e7 | − | 2.56276e6i | −0.0608502 | − | 0.0138887i | ||||
\(231\) | −1.61923e8 | −0.864305 | ||||||||
\(232\) | 3.02330e7 | − | 1.94253e7i | 0.158955 | − | 0.102132i | ||||
\(233\) | −1.91353e8 | −0.991037 | −0.495519 | − | 0.868597i | \(-0.665022\pi\) | ||||
−0.495519 | + | 0.868597i | \(0.665022\pi\) | |||||||
\(234\) | −1.79730e7 | − | 4.10222e6i | −0.0916991 | − | 0.0209297i | ||||
\(235\) | −1.82906e7 | − | 3.79809e7i | −0.0919372 | − | 0.190910i | ||||
\(236\) | 2.22793e8 | + | 1.07291e8i | 1.10334 | + | 0.531340i | ||||
\(237\) | −3.67779e6 | + | 1.61135e7i | −0.0179460 | + | 0.0786266i | ||||
\(238\) | 1.48959e6 | + | 6.52632e6i | 0.00716221 | + | 0.0313797i | ||||
\(239\) | −2.59610e8 | + | 1.25022e8i | −1.23007 | + | 0.592369i | −0.932098 | − | 0.362207i | \(-0.882023\pi\) |
−0.297969 | + | 0.954576i | \(0.596309\pi\) | |||||||
\(240\) | −3.78048e8 | − | 3.01484e8i | −1.76526 | − | 1.40775i | ||||
\(241\) | 1.99344e8 | − | 2.49969e8i | 0.917368 | − | 1.15034i | −0.0708803 | − | 0.997485i | \(-0.522581\pi\) |
0.988248 | − | 0.152858i | \(-0.0488477\pi\) | |||||||
\(242\) | −1.61522e7 | + | 3.35403e7i | −0.0732616 | + | 0.152129i | ||||
\(243\) | −7.98670e8 | + | 6.36918e8i | −3.57064 | + | 2.84749i | ||||
\(244\) | 1.24328e8i | 0.547906i | ||||||||
\(245\) | 1.58289e8 | + | 1.98488e8i | 0.687652 | + | 0.862288i | ||||
\(246\) | 2.94041e7 | − | 6.71129e6i | 0.125932 | − | 0.0287431i | ||||
\(247\) | 3.46740e7 | − | 7.91412e6i | 0.146408 | − | 0.0334167i | ||||
\(248\) | −2.15272e7 | − | 2.69943e7i | −0.0896204 | − | 0.112380i | ||||
\(249\) | − | 8.41602e8i | − | 3.45469i | ||||||
\(250\) | −1.28902e7 | + | 1.02796e7i | −0.0521759 | + | 0.0416089i | ||||
\(251\) | 5.75084e7 | − | 1.19417e8i | 0.229548 | − | 0.476661i | −0.754101 | − | 0.656758i | \(-0.771927\pi\) |
0.983649 | + | 0.180098i | \(0.0576414\pi\) | |||||||
\(252\) | 1.17575e8 | − | 1.47434e8i | 0.462820 | − | 0.580358i | ||||
\(253\) | 1.86154e8 | + | 1.48453e8i | 0.722689 | + | 0.576325i | ||||
\(254\) | 2.92656e7 | − | 1.40936e7i | 0.112057 | − | 0.0539638i | ||||
\(255\) | 1.74955e8 | + | 7.66526e8i | 0.660746 | + | 2.89492i | ||||
\(256\) | −5.44258e7 | + | 2.38455e8i | −0.202752 | + | 0.888314i | ||||
\(257\) | 1.48501e7 | + | 7.15142e6i | 0.0545711 | + | 0.0262801i | 0.460970 | − | 0.887416i | \(-0.347501\pi\) |
−0.406399 | + | 0.913696i | \(0.633216\pi\) | |||||||
\(258\) | −1.60356e7 | − | 3.32982e7i | −0.0581320 | − | 0.120712i | ||||
\(259\) | 7.95050e7 | + | 1.81465e7i | 0.284345 | + | 0.0648998i | ||||
\(260\) | 1.16842e8 | 0.412280 | ||||||||
\(261\) | 4.38812e8 | + | 6.82953e8i | 1.52769 | + | 2.37766i | ||||
\(262\) | −6.21409e6 | −0.0213463 | ||||||||
\(263\) | −3.62609e7 | − | 8.27631e6i | −0.122912 | − | 0.0280538i | 0.160623 | − | 0.987016i | \(-0.448650\pi\) |
−0.283534 | + | 0.958962i | \(0.591507\pi\) | |||||||
\(264\) | −7.99202e7 | − | 1.65956e8i | −0.267327 | − | 0.555110i | ||||
\(265\) | 2.04758e8 | + | 9.86065e7i | 0.675898 | + | 0.325495i | ||||
\(266\) | 735641. | − | 3.22305e6i | 0.00239651 | − | 0.0104998i | ||||
\(267\) | −2.97269e7 | − | 1.30242e8i | −0.0955786 | − | 0.418757i | ||||
\(268\) | −1.14630e8 | + | 5.52031e7i | −0.363771 | + | 0.175183i | ||||
\(269\) | −4.47855e8 | − | 3.57152e8i | −1.40283 | − | 1.11872i | −0.976836 | − | 0.213991i | \(-0.931354\pi\) |
−0.425992 | − | 0.904727i | \(-0.640075\pi\) | |||||||
\(270\) | −8.10849e7 | + | 1.01677e8i | −0.250707 | + | 0.314377i | ||||
\(271\) | −1.09615e8 | + | 2.27618e8i | −0.334563 | + | 0.694728i | −0.998596 | − | 0.0529760i | \(-0.983129\pi\) |
0.664033 | + | 0.747704i | \(0.268844\pi\) | |||||||
\(272\) | 3.23115e8 | − | 2.57676e8i | 0.973567 | − | 0.776394i | ||||
\(273\) | 6.11246e7i | 0.181822i | ||||||||
\(274\) | −8.48263e6 | − | 1.06369e7i | −0.0249117 | − | 0.0312383i | ||||
\(275\) | −2.28231e8 | + | 5.20922e7i | −0.661774 | + | 0.151046i | ||||
\(276\) | −3.65995e8 | + | 8.35360e7i | −1.04784 | + | 0.239162i | ||||
\(277\) | −2.43395e8 | − | 3.05207e8i | −0.688069 | − | 0.862811i | 0.308000 | − | 0.951386i | \(-0.400340\pi\) |
−0.996070 | + | 0.0885748i | \(0.971769\pi\) | |||||||
\(278\) | 4.37445e7i | 0.122114i | ||||||||
\(279\) | 6.09791e8 | − | 4.86292e8i | 1.68099 | − | 1.34055i | ||||
\(280\) | 9.46748e6 | − | 1.96594e7i | 0.0257740 | − | 0.0535202i | ||||
\(281\) | 2.30167e8 | − | 2.88620e8i | 0.618829 | − | 0.775988i | −0.369350 | − | 0.929290i | \(-0.620420\pi\) |
0.988179 | + | 0.153303i | \(0.0489910\pi\) | |||||||
\(282\) | 9.76249e6 | + | 7.78532e6i | 0.0259232 | + | 0.0206731i | ||||
\(283\) | −7.66251e7 | + | 3.69007e7i | −0.200964 | + | 0.0967792i | −0.531659 | − | 0.846959i | \(-0.678431\pi\) |
0.330695 | + | 0.943738i | \(0.392717\pi\) | |||||||
\(284\) | −5.29237e7 | − | 2.31874e8i | −0.137099 | − | 0.600672i | ||||
\(285\) | 8.64021e7 | − | 3.78552e8i | 0.221089 | − | 0.968655i | ||||
\(286\) | 1.97769e7 | + | 9.52405e6i | 0.0499893 | + | 0.0240736i | ||||
\(287\) | −3.20486e7 | − | 6.65496e7i | −0.0800244 | − | 0.166172i | ||||
\(288\) | 3.14179e8 | + | 7.17092e7i | 0.775002 | + | 0.176889i | ||||
\(289\) | −2.61653e8 | −0.637651 | ||||||||
\(290\) | 3.33919e7 | + | 3.27241e7i | 0.0803986 | + | 0.0787907i | ||||
\(291\) | −4.82855e8 | −1.14866 | ||||||||
\(292\) | −3.03317e8 | − | 6.92302e7i | −0.712947 | − | 0.162725i | ||||
\(293\) | −1.12140e8 | − | 2.32861e8i | −0.260450 | − | 0.540830i | 0.729206 | − | 0.684295i | \(-0.239890\pi\) |
−0.989655 | + | 0.143465i | \(0.954176\pi\) | |||||||
\(294\) | −6.77520e7 | − | 3.26277e7i | −0.155491 | − | 0.0748808i | ||||
\(295\) | −1.43830e8 | + | 6.30159e8i | −0.326190 | + | 1.42913i | ||||
\(296\) | 2.06427e7 | + | 9.04417e7i | 0.0462643 | + | 0.202697i | ||||
\(297\) | 2.42238e9 | − | 1.16656e9i | 5.36532 | − | 2.58380i | ||||
\(298\) | 4.50983e7 | + | 3.59647e7i | 0.0987196 | + | 0.0787263i | ||||
\(299\) | 5.60398e7 | − | 7.02716e7i | 0.121240 | − | 0.152031i | ||||
\(300\) | 1.60147e8 | − | 3.32548e8i | 0.342447 | − | 0.711099i | ||||
\(301\) | −7.07660e7 | + | 5.64340e7i | −0.149569 | + | 0.119277i | ||||
\(302\) | 3.25602e7i | 0.0680242i | ||||||||
\(303\) | −4.28262e8 | − | 5.37023e8i | −0.884423 | − | 1.10903i | ||||
\(304\) | −1.98983e8 | + | 4.54165e7i | −0.406217 | + | 0.0927163i | ||||
\(305\) | −3.16832e8 | + | 7.23148e7i | −0.639410 | + | 0.145941i | ||||
\(306\) | −1.07253e8 | − | 1.34491e8i | −0.213985 | − | 0.268329i | ||||
\(307\) | 8.01256e8i | 1.58047i | 0.612802 | + | 0.790236i | \(0.290042\pi\) | ||||
−0.612802 | + | 0.790236i | \(0.709958\pi\) | |||||||
\(308\) | −1.75549e8 | + | 1.39996e8i | −0.342350 | + | 0.273015i | ||||
\(309\) | −3.79553e8 | + | 7.88149e8i | −0.731842 | + | 1.51969i | ||||
\(310\) | 2.80075e7 | − | 3.51203e7i | 0.0533960 | − | 0.0669565i | ||||
\(311\) | 5.81887e8 | + | 4.64039e8i | 1.09693 | + | 0.874769i | 0.992799 | − | 0.119795i | \(-0.0382237\pi\) |
0.104127 | + | 0.994564i | \(0.466795\pi\) | |||||||
\(312\) | −6.26469e7 | + | 3.01692e7i | −0.116777 | + | 0.0562370i | ||||
\(313\) | −3.54626e7 | − | 1.55372e8i | −0.0653681 | − | 0.286396i | 0.931670 | − | 0.363306i | \(-0.118352\pi\) |
−0.997038 | + | 0.0769093i | \(0.975495\pi\) | |||||||
\(314\) | −8.84643e6 | + | 3.87588e7i | −0.0161255 | + | 0.0706506i | ||||
\(315\) | 4.44099e8 | + | 2.13867e8i | 0.800559 | + | 0.385529i | ||||
\(316\) | 9.94411e6 | + | 2.06492e7i | 0.0177281 | + | 0.0368127i | ||||
\(317\) | 3.10353e8 | + | 7.08359e7i | 0.547202 | + | 0.124895i | 0.487180 | − | 0.873302i | \(-0.338026\pi\) |
0.0600224 | + | 0.998197i | \(0.480883\pi\) | |||||||
\(318\) | −6.73169e7 | −0.117389 | ||||||||
\(319\) | −3.28439e8 | − | 9.09066e8i | −0.566484 | − | 1.56793i | ||||
\(320\) | −6.58051e8 | −1.12262 | ||||||||
\(321\) | 1.47413e9 | + | 3.36460e8i | 2.48752 | + | 0.567761i | ||||
\(322\) | −3.62496e6 | − | 7.52731e6i | −0.00605073 | − | 0.0125645i | ||||
\(323\) | 2.99001e8 | + | 1.43991e8i | 0.493701 | + | 0.237754i | ||||
\(324\) | −5.61750e8 | + | 2.46119e9i | −0.917562 | + | 4.02010i | ||||
\(325\) | 1.96644e7 | + | 8.61552e7i | 0.0317752 | + | 0.139216i | ||||
\(326\) | 5.57977e7 | − | 2.68708e7i | 0.0891979 | − | 0.0429555i | ||||
\(327\) | −5.83522e8 | − | 4.65343e8i | −0.922869 | − | 0.735964i | ||||
\(328\) | 5.23889e7 | − | 6.56936e7i | 0.0819749 | − | 0.102793i | ||||
\(329\) | 1.32685e7 | − | 2.75523e7i | 0.0205417 | − | 0.0426552i | ||||
\(330\) | 1.87363e8 | − | 1.49417e8i | 0.287002 | − | 0.228876i | ||||
\(331\) | − | 7.32880e8i | − | 1.11080i | −0.831584 | − | 0.555398i | \(-0.812566\pi\) | ||
0.831584 | − | 0.555398i | \(-0.187434\pi\) | |||||||
\(332\) | −7.27632e8 | − | 9.12422e8i | −1.09126 | − | 1.36840i | ||||
\(333\) | −2.04305e9 | + | 4.66312e8i | −3.03196 | + | 0.692025i | ||||
\(334\) | 7.77815e7 | − | 1.77531e7i | 0.114226 | − | 0.0260712i | ||||
\(335\) | −2.07351e8 | − | 2.60010e8i | −0.301334 | − | 0.377861i | ||||
\(336\) | − | 3.50774e8i | − | 0.504475i | ||||||
\(337\) | −5.35154e8 | + | 4.26771e8i | −0.761683 | + | 0.607422i | −0.925359 | − | 0.379092i | \(-0.876236\pi\) |
0.163676 | + | 0.986514i | \(0.447665\pi\) | |||||||
\(338\) | −2.56349e7 | + | 5.32314e7i | −0.0361096 | + | 0.0749824i | ||||
\(339\) | 2.34395e8 | − | 2.93922e8i | 0.326775 | − | 0.409763i | ||||
\(340\) | 8.52400e8 | + | 6.79766e8i | 1.17616 | + | 0.937958i | ||||
\(341\) | −8.36716e8 | + | 4.02941e8i | −1.14271 | + | 0.550302i | ||||
\(342\) | 1.89038e7 | + | 8.28230e7i | 0.0255539 | + | 0.111959i | ||||
\(343\) | −8.50586e7 | + | 3.72666e8i | −0.113812 | + | 0.498644i | ||||
\(344\) | −9.27674e7 | − | 4.46744e7i | −0.122869 | − | 0.0591704i | ||||
\(345\) | −4.25757e8 | − | 8.84094e8i | −0.558207 | − | 1.15913i | ||||
\(346\) | −5.46176e7 | − | 1.24661e7i | −0.0708869 | − | 0.0161795i | ||||
\(347\) | 9.60277e8 | 1.23380 | 0.616898 | − | 0.787043i | \(-0.288389\pi\) | ||||
0.616898 | + | 0.787043i | \(0.288389\pi\) | |||||||
\(348\) | 1.44347e9 | + | 4.88784e8i | 1.83603 | + | 0.621713i | ||||
\(349\) | 7.73567e8 | 0.974112 | 0.487056 | − | 0.873371i | \(-0.338071\pi\) | ||||
0.487056 | + | 0.873371i | \(0.338071\pi\) | |||||||
\(350\) | 8.00837e6 | + | 1.82786e6i | 0.00998403 | + | 0.00227879i | ||||
\(351\) | −4.40366e8 | − | 9.14429e8i | −0.543549 | − | 1.12869i | ||||
\(352\) | −3.45712e8 | − | 1.66486e8i | −0.422489 | − | 0.203460i | ||||
\(353\) | 9.49189e7 | − | 4.15867e8i | 0.114853 | − | 0.503202i | −0.884477 | − | 0.466584i | \(-0.845484\pi\) |
0.999329 | − | 0.0366180i | \(-0.0116585\pi\) | |||||||
\(354\) | −4.26030e7 | − | 1.86656e8i | −0.0510421 | − | 0.223630i | ||||
\(355\) | 5.60112e8 | − | 2.69736e8i | 0.664470 | − | 0.319992i | ||||
\(356\) | −1.44833e8 | − | 1.15501e8i | −0.170135 | − | 0.135678i | ||||
\(357\) | −3.55612e8 | + | 4.45923e8i | −0.413654 | + | 0.518706i | ||||
\(358\) | 6.97829e6 | − | 1.44906e7i | 0.00803820 | − | 0.0166915i | ||||
\(359\) | 4.07700e8 | − | 3.25130e8i | 0.465061 | − | 0.370874i | −0.362745 | − | 0.931888i | \(-0.618160\pi\) |
0.827806 | + | 0.561015i | \(0.189589\pi\) | |||||||
\(360\) | 5.60718e8i | 0.633411i | ||||||||
\(361\) | 4.55134e8 | + | 5.70720e8i | 0.509171 | + | 0.638481i | ||||
\(362\) | 8.92681e7 | − | 2.03749e7i | 0.0989046 | − | 0.0225743i | ||||
\(363\) | −3.09229e9 | + | 7.05796e8i | −3.39319 | + | 0.774473i | ||||
\(364\) | 5.28471e7 | + | 6.62682e7i | 0.0574337 | + | 0.0720195i | ||||
\(365\) | − | 8.13224e8i | − | 0.875357i | ||||||
\(366\) | 7.52595e7 | − | 6.00175e7i | 0.0802375 | − | 0.0639873i | ||||
\(367\) | −4.84998e8 | + | 1.00711e9i | −0.512163 | + | 1.06352i | 0.471226 | + | 0.882012i | \(0.343811\pi\) |
−0.983390 | + | 0.181506i | \(0.941903\pi\) | |||||||
\(368\) | −3.21594e8 | + | 4.03266e8i | −0.336388 | + | 0.421817i | ||||
\(369\) | 1.48399e9 | + | 1.18345e9i | 1.53759 | + | 1.22619i | ||||
\(370\) | −1.08741e8 | + | 5.23669e7i | −0.111606 | + | 0.0537465i | ||||
\(371\) | 3.66856e7 | + | 1.60730e8i | 0.0372981 | + | 0.163414i | ||||
\(372\) | 3.25823e8 | − | 1.42752e9i | 0.328157 | − | 1.43775i | ||||
\(373\) | 9.51641e8 | + | 4.58286e8i | 0.949494 | + | 0.457252i | 0.843509 | − | 0.537115i | \(-0.180486\pi\) |
0.105986 | + | 0.994368i | \(0.466200\pi\) | |||||||
\(374\) | 8.88695e7 | + | 1.84540e8i | 0.0878420 | + | 0.182406i | ||||
\(375\) | −1.36953e9 | − | 3.12585e8i | −1.34110 | − | 0.306097i | ||||
\(376\) | 3.47874e7 | 0.0337493 | ||||||||
\(377\) | −3.43164e8 | + | 1.23983e8i | −0.329843 | + | 0.119170i | ||||
\(378\) | −9.43416e7 | −0.0898425 | ||||||||
\(379\) | 4.84341e8 | + | 1.10548e8i | 0.456998 | + | 0.104307i | 0.444822 | − | 0.895619i | \(-0.353267\pi\) |
0.0121760 | + | 0.999926i | \(0.496124\pi\) | |||||||
\(380\) | −2.33616e8 | − | 4.85109e8i | −0.218404 | − | 0.453520i | ||||
\(381\) | 2.49350e9 | + | 1.20080e9i | 2.30978 | + | 1.11233i | ||||
\(382\) | −1.39251e7 | + | 6.10097e7i | −0.0127813 | + | 0.0559986i | ||||
\(383\) | 1.56336e8 | + | 6.84951e8i | 0.142188 | + | 0.622965i | 0.994924 | + | 0.100624i | \(0.0320840\pi\) |
−0.852737 | + | 0.522341i | \(0.825059\pi\) | |||||||
\(384\) | 7.25644e8 | − | 3.49452e8i | 0.653980 | − | 0.314940i | ||||
\(385\) | −4.58864e8 | − | 3.65932e8i | −0.409799 | − | 0.326804i | ||||
\(386\) | 1.12696e7 | − | 1.41317e7i | 0.00997364 | − | 0.0125066i | ||||
\(387\) | 1.00918e9 | − | 2.09558e9i | 0.885075 | − | 1.83788i | ||||
\(388\) | −5.23487e8 | + | 4.17467e8i | −0.454983 | + | 0.362836i | ||||
\(389\) | 1.25617e9i | 1.08199i | 0.841026 | + | 0.540995i | \(0.181952\pi\) | ||||
−0.841026 | + | 0.540995i | \(0.818048\pi\) | |||||||
\(390\) | −5.64036e7 | − | 7.07278e7i | −0.0481482 | − | 0.0603760i | ||||
\(391\) | 8.17656e8 | − | 1.86625e8i | 0.691754 | − | 0.157888i | ||||
\(392\) | −2.04249e8 | + | 4.66185e7i | −0.171261 | + | 0.0390892i | ||||
\(393\) | −3.30110e8 | − | 4.13945e8i | −0.274337 | − | 0.344008i | ||||
\(394\) | 5.59911e7i | 0.0461193i | ||||||||
\(395\) | −4.68373e7 | + | 3.73515e7i | −0.0382386 | + | 0.0304942i | ||||
\(396\) | 2.50347e9 | − | 5.19850e9i | 2.02586 | − | 4.20673i | ||||
\(397\) | 2.21979e8 | − | 2.78352e8i | 0.178051 | − | 0.223269i | −0.684795 | − | 0.728736i | \(-0.740108\pi\) |
0.862846 | + | 0.505467i | \(0.168680\pi\) | |||||||
\(398\) | −9.69392e7 | − | 7.73064e7i | −0.0770741 | − | 0.0614645i | ||||
\(399\) | 2.53779e8 | − | 1.22214e8i | 0.200010 | − | 0.0963195i | ||||
\(400\) | −1.12847e8 | − | 4.94416e8i | −0.0881619 | − | 0.386262i | ||||
\(401\) | −3.98845e7 | + | 1.74745e8i | −0.0308887 | + | 0.135332i | −0.988021 | − | 0.154318i | \(-0.950682\pi\) |
0.957133 | + | 0.289650i | \(0.0935390\pi\) | |||||||
\(402\) | 8.87519e7 | + | 4.27407e7i | 0.0681376 | + | 0.0328133i | ||||
\(403\) | 1.52107e8 | + | 3.15853e8i | 0.115766 | + | 0.240391i | ||||
\(404\) | −9.28599e8 | − | 2.11947e8i | −0.700638 | − | 0.159916i | ||||
\(405\) | −6.59869e9 | −4.93589 | ||||||||
\(406\) | −3.45680e6 | + | 3.37395e7i | −0.00256350 | + | 0.0250206i | ||||
\(407\) | 2.49520e9 | 1.83453 | ||||||||
\(408\) | −6.32548e8 | − | 1.44375e8i | −0.461087 | − | 0.105240i | ||||
\(409\) | −6.32610e8 | − | 1.31363e9i | −0.457198 | − | 0.949382i | −0.994375 | − | 0.105912i | \(-0.966224\pi\) |
0.537177 | − | 0.843469i | \(-0.319491\pi\) | |||||||
\(410\) | 9.84933e7 | + | 4.74319e7i | 0.0705770 | + | 0.0339881i | ||||
\(411\) | 2.57943e8 | − | 1.13012e9i | 0.183264 | − | 0.802931i | ||||
\(412\) | 2.69927e8 | + | 1.18263e9i | 0.190154 | + | 0.833119i | ||||
\(413\) | −4.22454e8 | + | 2.03443e8i | −0.295090 | + | 0.142108i | ||||
\(414\) | 1.67852e8 | + | 1.33858e8i | 0.116259 | + | 0.0927132i | ||||
\(415\) | 1.90194e9 | − | 2.38496e9i | 1.30626 | − | 1.63800i | ||||
\(416\) | −6.28471e7 | + | 1.30503e8i | −0.0428014 | + | 0.0888781i | ||||
\(417\) | −2.91399e9 | + | 2.32383e9i | −1.96794 | + | 1.56938i | ||||
\(418\) | − | 1.01153e8i | − | 0.0677426i | ||||||
\(419\) | 3.48406e8 | + | 4.36888e8i | 0.231386 | + | 0.290149i | 0.883947 | − | 0.467588i | \(-0.154877\pi\) |
−0.652561 | + | 0.757736i | \(0.726305\pi\) | |||||||
\(420\) | 9.02165e8 | − | 2.05913e8i | 0.594174 | − | 0.135616i | ||||
\(421\) | 1.40022e9 | − | 3.19590e8i | 0.914550 | − | 0.208740i | 0.260749 | − | 0.965407i | \(-0.416030\pi\) |
0.653801 | + | 0.756666i | \(0.273173\pi\) | |||||||
\(422\) | −1.14932e8 | − | 1.44120e8i | −0.0744472 | − | 0.0933538i | ||||
\(423\) | 7.85836e8i | 0.504824i | ||||||||
\(424\) | −1.46626e8 | + | 1.16931e8i | −0.0934182 | + | 0.0744985i | ||||
\(425\) | −3.57778e8 | + | 7.42933e8i | −0.226075 | + | 0.469449i | ||||
\(426\) | −1.14812e8 | + | 1.43969e8i | −0.0719536 | + | 0.0902270i | ||||
\(427\) | −1.84316e8 | − | 1.46987e8i | −0.114568 | − | 0.0913652i | ||||
\(428\) | 1.88907e9 | − | 9.09728e8i | 1.16465 | − | 0.560865i | ||||
\(429\) | 4.16170e8 | + | 1.82336e9i | 0.254490 | + | 1.11499i | ||||
\(430\) | 2.98087e7 | − | 1.30601e8i | 0.0180802 | − | 0.0792147i | ||||
\(431\) | 1.27272e9 | + | 6.12911e8i | 0.765709 | + | 0.368746i | 0.775616 | − | 0.631205i | \(-0.217439\pi\) |
−0.00990730 | + | 0.999951i | \(0.503154\pi\) | |||||||
\(432\) | 2.52711e9 | + | 5.24761e9i | 1.50811 | + | 3.13161i | ||||
\(433\) | −2.69091e8 | − | 6.14182e7i | −0.159291 | − | 0.0363571i | 0.142132 | − | 0.989848i | \(-0.454604\pi\) |
−0.301423 | + | 0.953491i | \(0.597461\pi\) | |||||||
\(434\) | 3.25865e7 | 0.0191348 | ||||||||
\(435\) | −4.06006e8 | + | 3.96276e9i | −0.236494 | + | 2.30826i | ||||
\(436\) | −1.03495e9 | −0.598023 | ||||||||
\(437\) | −4.03803e8 | − | 9.21654e7i | −0.231465 | − | 0.0528303i | ||||
\(438\) | 1.04514e8 | + | 2.17026e8i | 0.0594314 | + | 0.123411i | ||||
\(439\) | −2.65438e9 | − | 1.27828e9i | −1.49740 | − | 0.721110i | −0.507340 | − | 0.861746i | \(-0.669371\pi\) |
−0.990061 | + | 0.140636i | \(0.955085\pi\) | |||||||
\(440\) | 1.48565e8 | − | 6.50905e8i | 0.0831441 | − | 0.364278i | ||||
\(441\) | −1.05310e9 | − | 4.61391e9i | −0.584699 | − | 2.56174i | ||||
\(442\) | 6.96621e7 | − | 3.35475e7i | 0.0383724 | − | 0.0184792i | ||||
\(443\) | 2.00195e9 | + | 1.59650e9i | 1.09406 | + | 0.872481i | 0.992487 | − | 0.122348i | \(-0.0390423\pi\) |
0.101569 | + | 0.994829i | \(0.467614\pi\) | |||||||
\(444\) | −2.45289e9 | + | 3.07583e9i | −1.32996 | + | 1.66771i | ||||
\(445\) | 2.10094e8 | − | 4.36265e8i | 0.113020 | − | 0.234688i | ||||
\(446\) | −1.79763e8 | + | 1.43356e8i | −0.0959463 | + | 0.0765146i | ||||
\(447\) | 4.91472e9i | 2.60269i | ||||||||
\(448\) | −2.97633e8 | − | 3.73220e8i | −0.156390 | − | 0.196107i | ||||
\(449\) | −2.09268e8 | + | 4.77641e7i | −0.109104 | + | 0.0249023i | −0.276724 | − | 0.960949i | \(-0.589249\pi\) |
0.167620 | + | 0.985852i | \(0.446392\pi\) | |||||||
\(450\) | −2.05792e8 | + | 4.69706e7i | −0.106459 | + | 0.0242987i | ||||
\(451\) | −1.40912e9 | − | 1.76698e9i | −0.723321 | − | 0.907016i | ||||
\(452\) | − | 5.21309e8i | − | 0.265528i | ||||||
\(453\) | −2.16896e9 | + | 1.72969e9i | −1.09625 | + | 0.874228i | ||||
\(454\) | −1.01485e8 | + | 2.10735e8i | −0.0508985 | + | 0.105692i | ||||
\(455\) | −1.38136e8 | + | 1.73217e8i | −0.0687491 | + | 0.0862087i | ||||
\(456\) | 2.50515e8 | + | 1.99779e8i | 0.123725 | + | 0.0986672i | ||||
\(457\) | 1.67478e9 | − | 8.06530e8i | 0.820824 | − | 0.395288i | 0.0241583 | − | 0.999708i | \(-0.492309\pi\) |
0.796666 | + | 0.604420i | \(0.206595\pi\) | |||||||
\(458\) | −7.37365e7 | − | 3.23061e8i | −0.0358636 | − | 0.157129i | ||||
\(459\) | 2.10738e9 | − | 9.23302e9i | 1.01718 | − | 4.45656i | ||||
\(460\) | −1.22595e9 | − | 5.90389e8i | −0.587249 | − | 0.282804i | ||||
\(461\) | −9.95840e8 | − | 2.06788e9i | −0.473409 | − | 0.983044i | −0.991788 | − | 0.127893i | \(-0.959179\pi\) |
0.518379 | − | 0.855151i | \(-0.326536\pi\) | |||||||
\(462\) | 1.69487e8 | + | 3.86842e7i | 0.0799628 | + | 0.0182510i | ||||
\(463\) | −2.41736e9 | −1.13190 | −0.565951 | − | 0.824439i | \(-0.691491\pi\) | ||||
−0.565951 | + | 0.824439i | \(0.691491\pi\) | |||||||
\(464\) | 1.96931e9 | − | 7.11497e8i | 0.915167 | − | 0.330644i | ||||
\(465\) | 3.82734e9 | 1.76527 | ||||||||
\(466\) | 2.00291e8 | + | 4.57152e7i | 0.0916878 | + | 0.0209271i | ||||
\(467\) | 1.65205e9 | + | 3.43052e9i | 0.750611 | + | 1.55866i | 0.827401 | + | 0.561612i | \(0.189819\pi\) |
−0.0767897 | + | 0.997047i | \(0.524467\pi\) | |||||||
\(468\) | −1.96239e9 | − | 9.45037e8i | −0.884963 | − | 0.426175i | ||||
\(469\) | 5.36834e7 | − | 2.35202e8i | 0.0240289 | − | 0.105278i | ||||
\(470\) | 1.00712e7 | + | 4.41247e7i | 0.00447443 | + | 0.0196038i | ||||
\(471\) | −3.05182e9 | + | 1.46968e9i | −1.34581 | + | 0.648110i | ||||
\(472\) | −4.17020e8 | − | 3.32563e8i | −0.182541 | − | 0.145572i | ||||
\(473\) | −1.72673e9 | + | 2.16525e9i | −0.750258 | + | 0.940794i | ||||
\(474\) | 7.69917e6 | − | 1.59875e7i | 0.00332062 | − | 0.00689534i | ||||
\(475\) | 3.18385e8 | − | 2.53903e8i | 0.136309 | − | 0.108703i | ||||
\(476\) | 7.90903e8i | 0.336123i | ||||||||
\(477\) | −2.64142e9 | − | 3.31224e9i | −1.11435 | − | 1.39736i | ||||
\(478\) | 3.01605e8 | − | 6.88393e7i | 0.126311 | − | 0.0288296i | ||||
\(479\) | −2.20463e9 | + | 5.03191e8i | −0.916559 | + | 0.209199i | −0.654684 | − | 0.755903i | \(-0.727198\pi\) |
−0.261876 | + | 0.965102i | \(0.584341\pi\) | |||||||
\(480\) | 9.85967e8 | + | 1.23636e9i | 0.406929 | + | 0.510272i | ||||
\(481\) | − | 9.41918e8i | − | 0.385927i | ||||||
\(482\) | −2.68374e8 | + | 2.14021e8i | −0.109163 | + | 0.0870547i | ||||
\(483\) | 3.08855e8 | − | 6.41344e8i | 0.124721 | − | 0.258986i | ||||
\(484\) | −2.74229e9 | + | 3.43873e9i | −1.09940 | + | 1.37860i | ||||
\(485\) | −1.36833e9 | − | 1.09121e9i | −0.544622 | − | 0.434322i | ||||
\(486\) | 9.88139e8 | − | 4.75863e8i | 0.390473 | − | 0.188042i | ||||
\(487\) | −1.77819e8 | − | 7.79078e8i | −0.0697634 | − | 0.305654i | 0.927993 | − | 0.372597i | \(-0.121533\pi\) |
−0.997757 | + | 0.0669432i | \(0.978675\pi\) | |||||||
\(488\) | 5.96752e7 | − | 2.61454e8i | 0.0232447 | − | 0.101842i | ||||
\(489\) | 4.75409e9 | + | 2.28945e9i | 1.83860 | + | 0.885422i | ||||
\(490\) | −1.18263e8 | − | 2.45575e8i | −0.0454111 | − | 0.0942970i | ||||
\(491\) | −7.18608e8 | − | 1.64018e8i | −0.273972 | − | 0.0625324i | 0.0833272 | − | 0.996522i | \(-0.473445\pi\) |
−0.357300 | + | 0.933990i | \(0.616302\pi\) | |||||||
\(492\) | 3.56338e9 | 1.34891 | ||||||||
\(493\) | −3.22480e9 | − | 1.09197e9i | −1.21210 | − | 0.410439i | ||||
\(494\) | −3.81844e7 | −0.0142509 | ||||||||
\(495\) | 1.47037e10 | + | 3.35603e9i | 5.44890 | + | 1.24368i | ||||
\(496\) | −8.72890e8 | − | 1.81258e9i | −0.321199 | − | 0.666976i | ||||
\(497\) | 4.06319e8 | + | 1.95673e8i | 0.148464 | + | 0.0714963i | ||||
\(498\) | −2.01063e8 | + | 8.80913e8i | −0.0729506 | + | 0.319617i | ||||
\(499\) | −2.94987e8 | − | 1.29242e9i | −0.106280 | − | 0.465643i | −0.999860 | − | 0.0167389i | \(-0.994672\pi\) |
0.893580 | − | 0.448904i | \(-0.148186\pi\) | |||||||
\(500\) | −1.75503e9 | + | 8.45177e8i | −0.627898 | + | 0.302380i | ||||
\(501\) | 5.31457e9 | + | 4.23823e9i | 1.88815 | + | 1.50575i | ||||
\(502\) | −8.87240e7 | + | 1.11256e8i | −0.0313024 | + | 0.0392520i | ||||
\(503\) | 1.15943e9 | − | 2.40759e9i | 0.406217 | − | 0.843518i | −0.593048 | − | 0.805167i | \(-0.702075\pi\) |
0.999264 | − | 0.0383505i | \(-0.0122103\pi\) | |||||||
\(504\) | −3.18017e8 | + | 2.53610e8i | −0.110648 | + | 0.0882388i | ||||
\(505\) | − | 2.48967e9i | − | 0.860244i | ||||||
\(506\) | −1.59383e8 | − | 1.99860e8i | −0.0546911 | − | 0.0685804i | ||||
\(507\) | −4.90774e9 | + | 1.12016e9i | −1.67245 | + | 0.381726i | ||||
\(508\) | 3.74151e9 | − | 8.53976e8i | 1.26626 | − | 0.289017i | ||||
\(509\) | 3.14418e8 | + | 3.94268e8i | 0.105681 | + | 0.132519i | 0.831859 | − | 0.554987i | \(-0.187277\pi\) |
−0.726178 | + | 0.687506i | \(0.758705\pi\) | |||||||
\(510\) | − | 8.44128e8i | − | 0.281782i | ||||||
\(511\) | 4.61228e8 | − | 3.67817e8i | 0.152912 | − | 0.121944i | ||||
\(512\) | 6.02917e8 | − | 1.25197e9i | 0.198524 | − | 0.412239i | ||||
\(513\) | −2.91608e9 | + | 3.65665e9i | −0.953650 | + | 1.19584i | ||||
\(514\) | −1.38352e7 | − | 1.10332e7i | −0.00449381 | − | 0.00358370i | ||||
\(515\) | −2.85674e9 | + | 1.37573e9i | −0.921606 | + | 0.443822i | ||||
\(516\) | −9.71648e8 | − | 4.25707e9i | −0.311340 | − | 1.36407i | ||||
\(517\) | 2.08211e8 | − | 9.12230e8i | 0.0662653 | − | 0.290327i | ||||
\(518\) | −7.88834e7 | − | 3.79882e7i | −0.0249363 | − | 0.0120087i | ||||
\(519\) | −2.07102e9 | − | 4.30052e9i | −0.650278 | − | 1.35032i | ||||
\(520\) | −2.45711e8 | − | 5.60819e7i | −0.0766325 | − | 0.0174909i | ||||
\(521\) | −2.74161e9 | −0.849324 | −0.424662 | − | 0.905352i | \(-0.639607\pi\) | ||||
−0.424662 | + | 0.905352i | \(0.639607\pi\) | |||||||
\(522\) | −2.96148e8 | − | 8.19688e8i | −0.0911301 | − | 0.252233i | ||||
\(523\) | −2.36643e8 | −0.0723331 | −0.0361666 | − | 0.999346i | \(-0.511515\pi\) | ||||
−0.0361666 | + | 0.999346i | \(0.511515\pi\) | |||||||
\(524\) | −7.15777e8 | − | 1.63371e8i | −0.217329 | − | 0.0496040i | ||||
\(525\) | 3.03666e8 | + | 6.30569e8i | 0.0915880 | + | 0.190185i | ||||
\(526\) | 3.59774e7 | + | 1.73258e7i | 0.0107790 | + | 0.00519090i | ||||
\(527\) | −7.27909e8 | + | 3.18918e9i | −0.216641 | + | 0.949165i | ||||
\(528\) | −2.38826e9 | − | 1.04637e10i | −0.706095 | − | 3.09360i | ||||
\(529\) | 2.12458e9 | − | 1.02314e9i | 0.623990 | − | 0.300498i | ||||
\(530\) | −1.90765e8 | − | 1.52130e8i | −0.0556588 | − | 0.0443864i | ||||
\(531\) | 7.51247e9 | − | 9.42034e9i | 2.17747 | − | 2.73046i | ||||
\(532\) | 1.69471e8 | − | 3.51910e8i | 0.0487983 | − | 0.101331i | ||||
\(533\) | −6.67021e8 | + | 5.31932e8i | −0.190807 | + | 0.152164i | ||||
\(534\) | 1.43428e8i | 0.0407604i | ||||||||
\(535\) | 3.41707e9 | + | 4.28487e9i | 0.964751 | + | 1.20976i | ||||
\(536\) | 2.67556e8 | − | 6.10680e7i | 0.0750479 | − | 0.0171292i | ||||
\(537\) | 1.33598e9 | − | 3.04929e8i | 0.372297 | − | 0.0849744i | ||||
\(538\) | 3.83449e8 | + | 4.80830e8i | 0.106162 | + | 0.133123i | ||||
\(539\) | 5.63504e9i | 1.55002i | ||||||||
\(540\) | −1.20130e10 | + | 9.58004e9i | −3.28302 | + | 2.61812i | ||||
\(541\) | 2.31847e9 | − | 4.81435e9i | 0.629521 | − | 1.30721i | −0.305354 | − | 0.952239i | \(-0.598775\pi\) |
0.934876 | − | 0.354976i | \(-0.115511\pi\) | |||||||
\(542\) | 1.69114e8 | − | 2.12063e8i | 0.0456229 | − | 0.0572093i | ||||
\(543\) | 6.09942e9 | + | 4.86412e9i | 1.63489 | + | 1.30378i | ||||
\(544\) | −1.21773e9 | + | 5.86430e8i | −0.324307 | + | 0.156178i | ||||
\(545\) | −6.01973e8 | − | 2.63742e9i | −0.159290 | − | 0.697896i | ||||
\(546\) | 1.46030e7 | − | 6.39797e7i | 0.00383943 | − | 0.0168216i | ||||
\(547\) | −3.04989e9 | − | 1.46875e9i | −0.796762 | − | 0.383700i | −0.00921697 | − | 0.999958i | \(-0.502934\pi\) |
−0.787545 | + | 0.616257i | \(0.788648\pi\) | |||||||
\(548\) | −6.97432e8 | − | 1.44823e9i | −0.181038 | − | 0.375929i | ||||
\(549\) | 5.90616e9 | + | 1.34804e9i | 1.52336 | + | 0.347696i | ||||
\(550\) | 2.51337e8 | 0.0644149 | ||||||||
\(551\) | 1.20089e9 | + | 1.17687e9i | 0.305824 | + | 0.299707i | ||||
\(552\) | 8.09758e8 | 0.204913 | ||||||||
\(553\) | −4.23685e7 | − | 9.67034e6i | −0.0106538 | − | 0.00243167i | ||||
\(554\) | 1.81848e8 | + | 3.77612e8i | 0.0454386 | + | 0.0943542i | ||||
\(555\) | −9.26497e9 | − | 4.46178e9i | −2.30048 | − | 1.10785i | ||||
\(556\) | −1.15006e9 | + | 5.03875e9i | −0.283766 | + | 1.24326i | ||||
\(557\) | −9.20516e8 | − | 4.03305e9i | −0.225704 | − | 0.988872i | −0.953100 | − | 0.302655i | \(-0.902127\pi\) |
0.727397 | − | 0.686217i | \(-0.240730\pi\) | |||||||
\(558\) | −7.54452e8 | + | 3.63325e8i | −0.183828 | + | 0.0885269i | ||||
\(559\) | 8.17364e8 | + | 6.51826e8i | 0.197913 | + | 0.157830i | ||||
\(560\) | 7.92717e8 | − | 9.94036e8i | 0.190748 | − | 0.239190i | ||||
\(561\) | −7.57189e9 | + | 1.57232e10i | −1.81065 | + | 3.75985i | ||||
\(562\) | −3.09871e8 | + | 2.47114e8i | −0.0736383 | + | 0.0587246i | ||||
\(563\) | 1.43539e8i | 0.0338994i | 0.999856 | + | 0.0169497i | \(0.00539551\pi\) | ||||
−0.999856 | + | 0.0169497i | \(0.994604\pi\) | |||||||
\(564\) | 9.19823e8 | + | 1.15342e9i | 0.215887 | + | 0.270714i | ||||
\(565\) | 1.32848e9 | − | 3.03216e8i | 0.309873 | − | 0.0707265i | ||||
\(566\) | 8.90200e7 | − | 2.03182e7i | 0.0206362 | − | 0.00471008i | ||||
\(567\) | −2.98456e9 | − | 3.74252e9i | −0.687605 | − | 0.862230i | ||||
\(568\) | 5.13017e8i | 0.117466i | ||||||||
\(569\) | 1.75842e9 | − | 1.40230e9i | 0.400157 | − | 0.319115i | −0.402649 | − | 0.915354i | \(-0.631911\pi\) |
0.802807 | + | 0.596240i | \(0.203339\pi\) | |||||||
\(570\) | −1.80876e8 | + | 3.75593e8i | −0.0409090 | + | 0.0849484i | ||||
\(571\) | −2.58957e9 | + | 3.24722e9i | −0.582106 | + | 0.729938i | −0.982470 | − | 0.186418i | \(-0.940312\pi\) |
0.400365 | + | 0.916356i | \(0.368883\pi\) | |||||||
\(572\) | 2.02763e9 | + | 1.61698e9i | 0.453005 | + | 0.361259i | ||||
\(573\) | −4.80383e9 | + | 2.31340e9i | −1.06671 | + | 0.513700i | ||||
\(574\) | 1.76466e7 | + | 7.73147e7i | 0.00389465 | + | 0.0170636i | ||||
\(575\) | 2.29005e8 | − | 1.00334e9i | 0.0502351 | − | 0.220094i | ||||
\(576\) | 1.10521e10 | + | 5.32242e9i | 2.40972 | + | 1.16046i | ||||
\(577\) | −2.21236e9 | − | 4.59400e9i | −0.479446 | − | 0.995580i | −0.990689 | − | 0.136144i | \(-0.956529\pi\) |
0.511243 | − | 0.859436i | \(-0.329185\pi\) | |||||||
\(578\) | 2.73875e8 | + | 6.25101e7i | 0.0589935 | + | 0.0134649i | ||||
\(579\) | 1.54004e9 | 0.329728 | ||||||||
\(580\) | 2.98595e9 | + | 4.64725e9i | 0.635456 | + | 0.989004i | ||||
\(581\) | 2.21290e9 | 0.468107 | ||||||||
\(582\) | 5.05409e8 | + | 1.15356e8i | 0.106270 | + | 0.0242555i | ||||
\(583\) | 2.18868e9 | + | 4.54484e9i | 0.457448 | + | 0.949901i | ||||
\(584\) | 6.04626e8 | + | 2.91173e8i | 0.125615 | + | 0.0604931i | ||||
\(585\) | 1.26687e9 | − | 5.55052e9i | 0.261630 | − | 1.14627i | ||||
\(586\) | 6.17465e7 | + | 2.70529e8i | 0.0126757 | + | 0.0555357i | ||||
\(587\) | −1.07647e9 | + | 5.18401e8i | −0.219669 | + | 0.105787i | −0.540482 | − | 0.841356i | \(-0.681758\pi\) |
0.320813 | + | 0.947142i | \(0.396044\pi\) | |||||||
\(588\) | −6.94629e9 | − | 5.53948e9i | −1.40907 | − | 1.12370i | ||||
\(589\) | 1.00724e9 | − | 1.26304e9i | 0.203110 | − | 0.254692i | ||||
\(590\) | 3.01096e8 | − | 6.25232e8i | 0.0603563 | − | 0.125331i | ||||
\(591\) | −3.72978e9 | + | 2.97440e9i | −0.743237 | + | 0.592712i | ||||
\(592\) | 5.40535e9i | 1.07077i | ||||||||
\(593\) | −4.36479e8 | − | 5.47327e8i | −0.0859552 | − | 0.107784i | 0.736994 | − | 0.675899i | \(-0.236244\pi\) |
−0.822949 | + | 0.568115i | \(0.807673\pi\) | |||||||
\(594\) | −2.81423e9 | + | 6.42330e8i | −0.550944 | + | 0.125749i | ||||
\(595\) | −2.01549e9 | + | 4.60023e8i | −0.392258 | + | 0.0895304i | ||||
\(596\) | 4.24917e9 | + | 5.32829e9i | 0.822133 | + | 1.03092i | ||||
\(597\) | − | 1.05642e10i | − | 2.03202i | ||||||
\(598\) | −7.54456e7 | + | 6.01659e7i | −0.0144271 | + | 0.0115053i | ||||
\(599\) | 3.87201e9 | − | 8.04030e9i | 0.736109 | − | 1.52855i | −0.109053 | − | 0.994036i | \(-0.534782\pi\) |
0.845162 | − | 0.534510i | \(-0.179504\pi\) | |||||||
\(600\) | −4.96394e8 | + | 6.22458e8i | −0.0938204 | + | 0.117647i | ||||
\(601\) | −6.81093e9 | − | 5.43154e9i | −1.27981 | − | 1.02062i | −0.998131 | − | 0.0611074i | \(-0.980537\pi\) |
−0.281680 | − | 0.959508i | \(-0.590892\pi\) | |||||||
\(602\) | 8.75538e7 | − | 4.21637e7i | 0.0163564 | − | 0.00787682i | ||||
\(603\) | 1.37950e9 | + | 6.04401e9i | 0.256220 | + | 1.12257i | ||||
\(604\) | −8.56024e8 | + | 3.75049e9i | −0.158073 | + | 0.692561i | ||||
\(605\) | −1.03581e10 | − | 4.98820e9i | −1.90167 | − | 0.915798i | ||||
\(606\) | 3.19968e8 | + | 6.64421e8i | 0.0584054 | + | 0.121280i | ||||
\(607\) | 7.49618e9 | + | 1.71095e9i | 1.36044 | + | 0.310512i | 0.839629 | − | 0.543160i | \(-0.182772\pi\) |
0.520811 | + | 0.853672i | \(0.325630\pi\) | |||||||
\(608\) | 6.67486e8 | 0.120442 | ||||||||
\(609\) | −2.43115e9 | + | 1.56207e9i | −0.436166 | + | 0.280246i | ||||
\(610\) | 3.48907e8 | 0.0622380 | ||||||||
\(611\) | −3.44359e8 | − | 7.85977e7i | −0.0610755 | − | 0.0139401i | ||||
\(612\) | −8.81820e9 | − | 1.83112e10i | −1.55507 | − | 3.22914i | ||||
\(613\) | 8.93796e9 | + | 4.30429e9i | 1.56721 | + | 0.754728i | 0.997734 | − | 0.0672813i | \(-0.0214325\pi\) |
0.569474 | + | 0.822009i | \(0.307147\pi\) | |||||||
\(614\) | 1.91424e8 | − | 8.38683e8i | 0.0333739 | − | 0.146221i | ||||
\(615\) | 2.07262e9 | + | 9.08073e9i | 0.359299 | + | 1.57419i | ||||
\(616\) | 4.36362e8 | − | 2.10141e8i | 0.0752168 | − | 0.0362225i | ||||
\(617\) | 2.62743e9 | + | 2.09530e9i | 0.450332 | + | 0.359128i | 0.822239 | − | 0.569142i | \(-0.192725\pi\) |
−0.371907 | + | 0.928270i | \(0.621296\pi\) | |||||||
\(618\) | 5.85574e8 | − | 7.34287e8i | 0.0997981 | − | 0.125143i | ||||
\(619\) | 4.00067e9 | − | 8.30748e9i | 0.677978 | − | 1.40784i | −0.223368 | − | 0.974734i | \(-0.571705\pi\) |
0.901345 | − | 0.433101i | \(-0.142581\pi\) | |||||||
\(620\) | 4.14941e9 | − | 3.30904e9i | 0.699222 | − | 0.557611i | ||||
\(621\) | 1.18197e10i | 1.98055i | ||||||||
\(622\) | −4.98206e8 | − | 6.24730e8i | −0.0830123 | − | 0.104094i | ||||
\(623\) | 3.42457e8 | − | 7.81636e7i | 0.0567411 | − | 0.0129508i | ||||
\(624\) | −3.94994e9 | + | 9.01548e8i | −0.650795 | + | 0.148540i | ||||
\(625\) | −4.72405e9 | − | 5.92377e9i | −0.773989 | − | 0.970551i | ||||
\(626\) | 1.71102e8i | 0.0278769i | ||||||||
\(627\) | 6.73819e9 | − | 5.37353e9i | 1.09171 | − | 0.870609i | ||||
\(628\) | −2.03797e9 | + | 4.23189e9i | −0.328352 | + | 0.681830i | ||||
\(629\) | 5.47991e9 | − | 6.87159e9i | 0.878003 | − | 1.10098i | ||||
\(630\) | −4.13749e8 | − | 3.29954e8i | −0.0659243 | − | 0.0525729i | ||||
\(631\) | 1.18644e9 | − | 5.71358e8i | 0.187993 | − | 0.0905327i | −0.337519 | − | 0.941319i | \(-0.609588\pi\) |
0.525513 | + | 0.850786i | \(0.323874\pi\) | |||||||
\(632\) | −1.10006e7 | − | 4.81967e7i | −0.00173343 | − | 0.00759465i | ||||
\(633\) | 3.49490e9 | − | 1.53122e10i | 0.547673 | − | 2.39951i | ||||
\(634\) | −3.07926e8 | − | 1.48289e8i | −0.0479882 | − | 0.0231099i | ||||
\(635\) | 4.35245e9 | + | 9.03796e9i | 0.674569 | + | 1.40076i | ||||
\(636\) | −7.75397e9 | − | 1.76979e9i | −1.19515 | − | 0.272786i | ||||
\(637\) | 2.12718e9 | 0.326074 | ||||||||
\(638\) | 1.26600e8 | + | 1.02999e9i | 0.0193002 | + | 0.157023i | ||||
\(639\) | −1.15889e10 | −1.75707 | ||||||||
\(640\) | 2.84609e9 | + | 6.49601e8i | 0.429159 | + | 0.0979528i | ||||
\(641\) | 1.53123e9 | + | 3.17963e9i | 0.229635 | + | 0.476841i | 0.983667 | − | 0.179996i | \(-0.0576083\pi\) |
−0.754033 | + | 0.656837i | \(0.771894\pi\) | |||||||
\(642\) | −1.46260e9 | − | 7.04351e8i | −0.218149 | − | 0.105055i | ||||
\(643\) | −5.78123e8 | + | 2.53292e9i | −0.0857595 | + | 0.375737i | −0.999535 | − | 0.0304820i | \(-0.990296\pi\) |
0.913776 | + | 0.406219i | \(0.133153\pi\) | |||||||
\(644\) | −2.19648e8 | − | 9.62343e8i | −0.0324062 | − | 0.141981i | ||||
\(645\) | 1.02833e10 | − | 4.95219e9i | 1.50895 | − | 0.726672i | ||||
\(646\) | −2.78567e8 | − | 2.22150e8i | −0.0406552 | − | 0.0324214i | ||||
\(647\) | −5.43912e9 | + | 6.82044e9i | −0.789521 | + | 0.990027i | 0.210402 | + | 0.977615i | \(0.432523\pi\) |
−0.999923 | + | 0.0124126i | \(0.996049\pi\) | |||||||
\(648\) | 2.36264e9 | − | 4.90608e9i | 0.341103 | − | 0.708308i | ||||
\(649\) | −1.12168e10 | + | 8.94506e9i | −1.61069 | + | 1.28448i | ||||
\(650\) | − | 9.48774e7i | − | 0.0135508i | ||||||
\(651\) | 1.73109e9 | + | 2.17071e9i | 0.245915 | + | 0.308368i | ||||
\(652\) | 7.13356e9 | − | 1.62819e9i | 1.00795 | − | 0.230058i | ||||
\(653\) | 3.36116e9 | − | 7.67163e8i | 0.472382 | − | 0.107818i | 0.0202988 | − | 0.999794i | \(-0.493538\pi\) |
0.452083 | + | 0.891976i | \(0.350681\pi\) | |||||||
\(654\) | 4.99606e8 | + | 6.26486e8i | 0.0698402 | + | 0.0875768i | ||||
\(655\) | − | 1.91907e9i | − | 0.266837i | ||||||
\(656\) | 3.82781e9 | − | 3.05258e9i | 0.529404 | − | 0.422186i | ||||
\(657\) | −6.57749e9 | + | 1.36583e10i | −0.904860 | + | 1.87896i | ||||
\(658\) | −2.04706e7 | + | 2.56694e7i | −0.00280118 | + | 0.00351257i | ||||
\(659\) | −1.48168e9 | − | 1.18160e9i | −0.201677 | − | 0.160832i | 0.517444 | − | 0.855717i | \(-0.326884\pi\) |
−0.719121 | + | 0.694885i | \(0.755455\pi\) | |||||||
\(660\) | 2.55098e10 | − | 1.22849e10i | 3.45385 | − | 1.66329i | ||||
\(661\) | 6.37757e8 | + | 2.79420e9i | 0.0858915 | + | 0.376315i | 0.999544 | − | 0.0301797i | \(-0.00960797\pi\) |
−0.913653 | + | 0.406495i | \(0.866751\pi\) | |||||||
\(662\) | −1.75088e8 | + | 7.67112e8i | −0.0234560 | + | 0.102768i | ||||
\(663\) | 5.93537e9 | + | 2.85832e9i | 0.790952 | + | 0.380903i | ||||
\(664\) | 1.09222e9 | + | 2.26801e9i | 0.144784 | + | 0.300647i | ||||
\(665\) | 9.95361e8 | + | 2.27185e8i | 0.131252 | + | 0.0299573i | ||||
\(666\) | 2.24988e9 | 0.295121 | ||||||||
\(667\) | 4.22709e9 | + | 4.33088e8i | 0.551571 | + | 0.0565114i | ||||
\(668\) | 9.42608e9 | 1.22353 | ||||||||
\(669\) | −1.90990e10 | − | 4.35922e9i | −2.46615 | − | 0.562883i | ||||
\(670\) | 1.54919e8 | + | 3.21692e8i | 0.0198995 | + | 0.0413217i | ||||
\(671\) | −6.49894e9 | − | 3.12973e9i | −0.830451 | − | 0.399924i | ||||
\(672\) | −2.55268e8 | + | 1.11840e9i | −0.0324492 | + | 0.142169i | ||||
\(673\) | 2.71073e9 | + | 1.18765e10i | 0.342794 | + | 1.50188i | 0.793147 | + | 0.609030i | \(0.208441\pi\) |
−0.450353 | + | 0.892851i | \(0.648702\pi\) | |||||||
\(674\) | 6.62109e8 | − | 3.18855e8i | 0.0832951 | − | 0.0401128i | ||||
\(675\) | −9.08575e9 | − | 7.24564e9i | −1.13710 | − | 0.906804i | ||||
\(676\) | −4.35226e9 | + | 5.45756e9i | −0.541878 | + | 0.679493i | ||||
\(677\) | −5.90474e8 | + | 1.22613e9i | −0.0731376 | + | 0.151872i | −0.934332 | − | 0.356404i | \(-0.884003\pi\) |
0.861194 | + | 0.508276i | \(0.169717\pi\) | |||||||
\(678\) | −3.15563e8 | + | 2.51653e8i | −0.0388850 | + | 0.0310098i | ||||
\(679\) | − | 1.26961e9i | − | 0.155642i | ||||||
\(680\) | −1.46626e9 | − | 1.83864e9i | −0.178826 | − | 0.224241i | ||||
\(681\) | −1.94290e10 | + | 4.43455e9i | −2.35741 | + | 0.538064i | ||||
\(682\) | 9.72063e8 | − | 2.21867e8i | 0.117341 | − | 0.0267823i | ||||
\(683\) | −3.04155e9 | − | 3.81398e9i | −0.365277 | − | 0.458043i | 0.564897 | − | 0.825161i | \(-0.308916\pi\) |
−0.930174 | + | 0.367118i | \(0.880344\pi\) | |||||||
\(684\) | 1.00370e10i | 1.19925i | ||||||||
\(685\) | 3.28494e9 | − | 2.61965e9i | 0.390490 | − | 0.311406i | ||||
\(686\) | 1.78063e8 | − | 3.69753e8i | 0.0210591 | − | 0.0437297i | ||||
\(687\) | 1.76032e10 | − | 2.20738e10i | 2.07130 | − | 2.59733i | ||||
\(688\) | −4.69058e9 | − | 3.74061e9i | −0.549120 | − | 0.437908i | ||||
\(689\) | 1.71564e9 | − | 8.26207e8i | 0.199829 | − | 0.0962325i | ||||
\(690\) | 2.34430e8 | + | 1.02711e9i | 0.0271670 | + | 0.119026i | ||||
\(691\) | 2.68498e8 | − | 1.17637e9i | 0.0309576 | − | 0.135634i | −0.957088 | − | 0.289799i | \(-0.906412\pi\) |
0.988045 | + | 0.154165i | \(0.0492687\pi\) | |||||||
\(692\) | −5.96344e9 | − | 2.87184e9i | −0.684110 | − | 0.329450i | ||||
\(693\) | 4.74701e9 | + | 9.85727e9i | 0.541819 | + | 1.12510i | ||||
\(694\) | −1.00513e9 | − | 2.29415e8i | −0.114147 | − | 0.0260533i | ||||
\(695\) | −1.35094e10 | −1.52647 | ||||||||
\(696\) | −2.80091e9 | − | 1.72072e9i | −0.314896 | − | 0.193454i | ||||
\(697\) | −7.96082e9 | −0.890519 | ||||||||
\(698\) | −8.09700e8 | − | 1.84809e8i | −0.0901219 | − | 0.0205697i | ||||
\(699\) | 7.59476e9 | + | 1.57707e10i | 0.841093 | + | 1.74655i | ||||
\(700\) | 8.74397e8 | + | 4.21088e8i | 0.0963531 | + | 0.0464012i | ||||
\(701\) | −3.27319e9 | + | 1.43408e10i | −0.358887 | + | 1.57239i | 0.397085 | + | 0.917782i | \(0.370022\pi\) |
−0.755971 | + | 0.654605i | \(0.772835\pi\) | |||||||
\(702\) | 2.42474e8 | + | 1.06235e9i | 0.0264536 | + | 0.115901i | ||||
\(703\) | −3.91069e9 | + | 1.88329e9i | −0.424531 | + | 0.204443i | ||||
\(704\) | −1.14196e10 | − | 9.10679e9i | −1.23352 | − | 0.983696i | ||||
\(705\) | −2.40431e9 | + | 3.01491e9i | −0.258421 | + | 0.324050i | ||||
\(706\) | −1.98705e8 | + | 4.12615e8i | −0.0212516 | + | 0.0441295i | ||||
\(707\) | 1.41204e9 | − | 1.12607e9i | 0.150273 | − | 0.119838i | ||||
\(708\) | − | 2.26202e10i | − | 2.39541i | ||||||
\(709\) | −8.41131e9 | − | 1.05474e10i | −0.886343 | − | 1.11144i | −0.993114 | − | 0.117155i | \(-0.962623\pi\) |
0.106771 | − | 0.994284i | \(-0.465949\pi\) | |||||||
\(710\) | −6.50716e8 | + | 1.48522e8i | −0.0682319 | + | 0.0155735i | ||||
\(711\) | 1.08875e9 | − | 2.48500e8i | 0.113601 | − | 0.0259288i | ||||
\(712\) | 2.49136e8 | + | 3.12407e8i | 0.0258677 | + | 0.0324370i | ||||
\(713\) | − | 4.08263e9i | − | 0.421820i | ||||||
\(714\) | 4.78756e8 | − | 3.81795e8i | 0.0492232 | − | 0.0392542i | ||||
\(715\) | −2.94127e9 | + | 6.10761e9i | −0.300929 | + | 0.624885i | ||||
\(716\) | 1.18477e9 | − | 1.48565e9i | 0.120625 | − | 0.151259i | ||||
\(717\) | 2.06077e10 | + | 1.64341e10i | 2.08791 | + | 1.66506i | ||||
\(718\) | −5.04418e8 | + | 2.42915e8i | −0.0508575 | + | 0.0244917i | ||||
\(719\) | −2.19397e9 | − | 9.61241e9i | −0.220130 | − | 0.964453i | −0.957380 | − | 0.288832i | \(-0.906733\pi\) |
0.737250 | − | 0.675620i | \(-0.236124\pi\) | |||||||
\(720\) | −7.27015e9 | + | 3.18526e10i | −0.725905 | + | 3.18040i | ||||
\(721\) | −2.07235e9 | − | 9.97991e8i | −0.205916 | − | 0.0991638i | ||||
\(722\) | −3.40046e8 | − | 7.06112e8i | −0.0336246 | − | 0.0698222i | ||||
\(723\) | −2.85136e10 | − | 6.50803e9i | −2.80587 | − | 0.640421i | ||||
\(724\) | 1.08181e10 | 1.05942 | ||||||||
\(725\) | −2.92418e9 | + | 2.98386e9i | −0.284985 | + | 0.290801i | ||||
\(726\) | 3.40535e9 | 0.330281 | ||||||||
\(727\) | 1.06749e10 | + | 2.43649e9i | 1.03037 | + | 0.235176i | 0.704101 | − | 0.710099i | \(-0.251350\pi\) |
0.326273 | + | 0.945276i | \(0.394207\pi\) | |||||||
\(728\) | −7.93264e7 | − | 1.64723e8i | −0.00762006 | − | 0.0158232i | ||||
\(729\) | 4.49770e10 | + | 2.16598e10i | 4.29976 | + | 2.07065i | ||||
\(730\) | −1.94283e8 | + | 8.51210e8i | −0.0184844 | + | 0.0809854i | ||||
\(731\) | 2.17072e9 | + | 9.51056e9i | 0.205539 | + | 0.900524i | ||||
\(732\) | 1.02467e10 | − | 4.93457e9i | 0.965599 | − | 0.465008i | ||||
\(733\) | 7.73496e9 | + | 6.16843e9i | 0.725428 | + | 0.578509i | 0.915046 | − | 0.403348i | \(-0.132154\pi\) |
−0.189619 | + | 0.981858i | \(0.560725\pi\) | |||||||
\(734\) | 7.48255e8 | − | 9.38282e8i | 0.0698415 | − | 0.0875785i | ||||
\(735\) | 1.00763e10 | − | 2.09236e10i | 0.936038 | − | 1.94370i | ||||
\(736\) | 1.31883e9 | − | 1.05173e9i | 0.121932 | − | 0.0972375i | ||||
\(737\) | − | 7.38164e9i | − | 0.679229i | ||||||
\(738\) | −1.27058e9 | − | 1.59326e9i | −0.116360 | − | 0.145911i | ||||
\(739\) | 9.27355e9 | − | 2.11663e9i | 0.845260 | − | 0.192925i | 0.222104 | − | 0.975023i | \(-0.428707\pi\) |
0.623156 | + | 0.782098i | \(0.285850\pi\) | |||||||
\(740\) | −1.39022e10 | + | 3.17308e9i | −1.26117 | + | 0.287853i | ||||
\(741\) | −2.02846e9 | − | 2.54361e9i | −0.183148 | − | 0.229661i | ||||
\(742\) | − | 1.77002e8i | − | 0.0159061i | ||||||
\(743\) | 9.86562e9 | − | 7.86757e9i | 0.882396 | − | 0.703687i | −0.0735307 | − | 0.997293i | \(-0.523427\pi\) |
0.955927 | + | 0.293606i | \(0.0948553\pi\) | |||||||
\(744\) | −1.37037e9 | + | 2.84560e9i | −0.121992 | + | 0.253319i | ||||
\(745\) | −1.11068e10 | + | 1.39275e10i | −0.984108 | + | 1.23403i | ||||
\(746\) | −8.86606e8 | − | 7.07045e8i | −0.0781888 | − | 0.0623535i | ||||
\(747\) | −5.12336e10 | + | 2.46728e10i | −4.49710 | + | 2.16569i | ||||
\(748\) | 5.38490e9 | + | 2.35928e10i | 0.470460 | + | 2.06122i | ||||
\(749\) | −8.84683e8 | + | 3.87605e9i | −0.0769310 | + | 0.337057i | ||||
\(750\) | 1.35882e9 | + | 6.54373e8i | 0.117611 | + | 0.0566384i | ||||
\(751\) | −3.55623e9 | − | 7.38459e9i | −0.306373 | − | 0.636189i | 0.689761 | − | 0.724037i | \(-0.257715\pi\) |
−0.996134 | + | 0.0878474i | \(0.972001\pi\) | |||||||
\(752\) | 1.97616e9 | + | 4.51046e8i | 0.169457 | + | 0.0386775i | ||||
\(753\) | −1.21245e10 | −1.03486 | ||||||||
\(754\) | 3.88814e8 | − | 4.77906e7i | 0.0330325 | − | 0.00406015i | ||||
\(755\) | −1.00554e10 | −0.850328 | ||||||||
\(756\) | −1.08668e10 | − | 2.48028e9i | −0.914696 | − | 0.208773i | ||||
\(757\) | −8.98150e9 | − | 1.86503e10i | −0.752511 | − | 1.56261i | −0.824932 | − | 0.565232i | \(-0.808787\pi\) |
0.0724208 | − | 0.997374i | \(-0.476928\pi\) | |||||||
\(758\) | −4.80554e8 | − | 2.31423e8i | −0.0400775 | − | 0.0193003i | ||||
\(759\) | 4.84659e9 | − | 2.12343e10i | 0.402337 | − | 1.76275i | ||||
\(760\) | 2.58436e8 | + | 1.13228e9i | 0.0213553 | + | 0.0935637i | ||||
\(761\) | 1.10395e10 | − | 5.31634e9i | 0.908036 | − | 0.437287i | 0.0792514 | − | 0.996855i | \(-0.474747\pi\) |
0.828785 | + | 0.559567i | \(0.189033\pi\) | |||||||
\(762\) | −2.32309e9 | − | 1.85260e9i | −0.190206 | − | 0.151684i | ||||
\(763\) | 1.22357e9 | − | 1.53431e9i | 0.0997223 | − | 0.125048i | ||||
\(764\) | −3.20795e9 | + | 6.66137e9i | −0.260256 | + | 0.540427i | ||||
\(765\) | 4.15342e10 | − | 3.31224e10i | 3.35421 | − | 2.67490i | ||||
\(766\) | − | 7.54295e8i | − | 0.0606374i | ||||||
\(767\) | 3.37668e9 | + | 4.23423e9i | 0.270213 | + | 0.338837i | ||||
\(768\) | 2.18128e10 | − | 4.97863e9i | 1.73759 | − | 0.396593i | ||||
\(769\) | −1.94021e10 | + | 4.42840e9i | −1.53853 | + | 0.351159i | −0.905967 | − | 0.423349i | \(-0.860854\pi\) |
−0.632563 | + | 0.774509i | \(0.717997\pi\) | |||||||
\(770\) | 3.92875e8 | + | 4.92649e8i | 0.0310125 | + | 0.0388884i | ||||
\(771\) | − | 1.50773e9i | − | 0.118477i | ||||||
\(772\) | 1.66963e9 | − | 1.33149e9i | 0.130605 | − | 0.104154i | ||||
\(773\) | 2.06152e9 | − | 4.28078e9i | 0.160531 | − | 0.333346i | −0.805153 | − | 0.593068i | \(-0.797917\pi\) |
0.965683 | + | 0.259722i | \(0.0836309\pi\) | |||||||
\(774\) | −1.55696e9 | + | 1.95237e9i | −0.120694 | + | 0.151345i | ||||
\(775\) | 3.13831e9 | + | 2.50272e9i | 0.242181 | + | 0.193133i | ||||
\(776\) | 1.30123e9 | − | 6.26641e8i | 0.0999629 | − | 0.0481396i | ||||
\(777\) | −1.65996e9 | − | 7.27277e9i | −0.126948 | − | 0.556194i | ||||
\(778\) | 3.00104e8 | − | 1.31484e9i | 0.0228477 | − | 0.100103i | ||||
\(779\) | 3.54215e9 | + | 1.70581e9i | 0.268464 | + | 0.129285i | ||||
\(780\) | −4.63744e9 | − | 9.62973e9i | −0.349902 | − | 0.726580i | ||||
\(781\) | 1.34528e10 | + | 3.07052e9i | 1.01050 | + | 0.230640i | ||||
\(782\) | −9.00434e8 | −0.0673330 | ||||||||
\(783\) | 2.51165e10 | − | 4.08837e10i | 1.86979 | − | 3.04357i | ||||
\(784\) | −1.22072e10 | −0.904709 | ||||||||
\(785\) | −1.19697e10 | − | 2.73201e9i | −0.883160 | − | 0.201575i | ||||
\(786\) | 2.46636e8 | + | 5.12145e8i | 0.0181166 | + | 0.0376196i | ||||
\(787\) | 3.56654e9 | + | 1.71756e9i | 0.260817 | + | 0.125603i | 0.559723 | − | 0.828680i | \(-0.310907\pi\) |
−0.298906 | + | 0.954283i | \(0.596622\pi\) | |||||||
\(788\) | −1.47203e9 | + | 6.44939e9i | −0.107171 | + | 0.469545i | ||||
\(789\) | 7.57080e8 | + | 3.31698e9i | 0.0548747 | + | 0.240422i | ||||
\(790\) | 5.79485e7 | − | 2.79065e7i | 0.00418165 | − | 0.00201377i | ||||
\(791\) | 7.72835e8 | + | 6.16315e8i | 0.0555225 | + | 0.0442777i | ||||
\(792\) | −7.75980e9 | + | 9.73048e9i | −0.555025 | + | 0.695979i | ||||
\(793\) | −1.18144e9 | + | 2.45329e9i | −0.0841312 | + | 0.174700i | ||||
\(794\) | −2.98847e8 | + | 2.38322e8i | −0.0211874 | + | 0.0168964i | ||||
\(795\) | − | 2.07892e10i | − | 1.46741i | ||||||
\(796\) | −9.13362e9 | − | 1.14532e10i | −0.641870 | − | 0.804880i | ||||
\(797\) | −4.11881e9 | + | 9.40092e8i | −0.288183 | + | 0.0657758i | −0.364169 | − | 0.931333i | \(-0.618647\pi\) |
0.0759857 | + | 0.997109i | \(0.475790\pi\) | |||||||
\(798\) | −2.94831e8 | + | 6.72931e7i | −0.0205382 | + | 0.00468771i | ||||
\(799\) | −2.05494e9 | − | 2.57682e9i | −0.142523 | − | 0.178719i | ||||
\(800\) | 1.65851e9i | 0.114526i | ||||||||
\(801\) | −7.05717e9 | + | 5.62790e9i | −0.485195 | + | 0.386930i | ||||
\(802\) | 8.34950e7 | − | 1.73379e8i | 0.00571545 | − | 0.0118683i | ||||
\(803\) | 1.12542e10 | − | 1.41124e10i | 0.767029 | − | 0.961824i | ||||
\(804\) | 9.09931e9 | + | 7.25646e9i | 0.617465 | + | 0.492412i | ||||
\(805\) | 2.32462e9 | − | 1.11948e9i | 0.157061 | − | 0.0756364i | ||||
\(806\) | −8.37529e7 | − | 3.66946e8i | −0.00563414 | − | 0.0246848i | ||||
\(807\) | −1.16600e10 | + | 5.10860e10i | −0.780985 | + | 3.42172i | ||||
\(808\) | 1.85105e9 | + | 8.91419e8i | 0.123446 | + | 0.0594487i | ||||
\(809\) | −3.89042e9 | − | 8.07854e9i | −0.258331 | − | 0.536430i | 0.730954 | − | 0.682427i | \(-0.239075\pi\) |
−0.989285 | + | 0.145997i | \(0.953361\pi\) | |||||||
\(810\) | 6.90692e9 | + | 1.57646e9i | 0.456653 | + | 0.104228i | ||||
\(811\) | 1.98105e10 | 1.30414 | 0.652068 | − | 0.758161i | \(-0.273902\pi\) | ||||
0.652068 | + | 0.758161i | \(0.273902\pi\) | |||||||
\(812\) | −1.28520e9 | + | 3.79544e9i | −0.0842414 | + | 0.248781i | ||||
\(813\) | 2.31101e10 | 1.50829 | ||||||||
\(814\) | −2.61175e9 | − | 5.96116e8i | −0.169725 | − | 0.0387387i | ||||
\(815\) | 8.29838e9 | + | 1.72318e10i | 0.536959 | + | 1.11501i | ||||
\(816\) | −3.40611e10 | − | 1.64030e10i | −2.19454 | − | 1.05683i | ||||
\(817\) | 1.07202e9 | − | 4.69683e9i | 0.0687743 | − | 0.301320i | ||||
\(818\) | 3.48327e8 | + | 1.52612e9i | 0.0222511 | + | 0.0974883i | ||||
\(819\) | 3.72104e9 | − | 1.79196e9i | 0.236685 | − | 0.113981i | ||||
\(820\) | 1.00980e10 | + | 8.05292e9i | 0.639571 | + | 0.510041i | ||||
\(821\) | 1.48497e10 | − | 1.86210e10i | 0.936520 | − | 1.17436i | −0.0479572 | − | 0.998849i | \(-0.515271\pi\) |
0.984478 | − | 0.175510i | \(-0.0561575\pi\) | |||||||
\(822\) | −5.39982e8 | + | 1.12128e9i | −0.0339100 | + | 0.0704149i | ||||
\(823\) | −8.99535e9 | + | 7.17355e9i | −0.562495 | + | 0.448575i | −0.862999 | − | 0.505206i | \(-0.831417\pi\) |
0.300504 | + | 0.953781i | \(0.402845\pi\) | |||||||
\(824\) | − | 2.61654e9i | − | 0.162923i | ||||||
\(825\) | 1.33517e10 | + | 1.67425e10i | 0.827842 | + | 1.03808i | ||||
\(826\) | 4.90791e8 | − | 1.12020e8i | 0.0303016 | − | 0.00691615i | ||||
\(827\) | −5.48092e8 | + | 1.25099e8i | −0.0336965 | + | 0.00769100i | −0.239336 | − | 0.970937i | \(-0.576930\pi\) |
0.205639 | + | 0.978628i | \(0.434073\pi\) | |||||||
\(828\) | 1.58150e10 | + | 1.98314e10i | 0.968198 | + | 1.21408i | ||||
\(829\) | 9.18311e9i | 0.559821i | 0.960026 | + | 0.279910i | \(0.0903047\pi\) | ||||
−0.960026 | + | 0.279910i | \(0.909695\pi\) | |||||||
\(830\) | −2.56056e9 | + | 2.04198e9i | −0.155440 | + | 0.123959i | ||||
\(831\) | −1.54939e10 | + | 3.21734e10i | −0.936606 | + | 1.94488i | ||||
\(832\) | −3.43774e9 | + | 4.31078e9i | −0.206938 | + | 0.259492i | ||||
\(833\) | 1.55185e10 | + | 1.23756e10i | 0.930231 | + | 0.741835i | ||||
\(834\) | 3.60527e9 | − | 1.73621e9i | 0.215207 | − | 0.103638i | ||||
\(835\) | 5.48262e9 | + | 2.40209e10i | 0.325901 | + | 1.42786i | ||||
\(836\) | 2.65936e9 | − | 1.16514e10i | 0.157418 | − | 0.689694i | ||||
\(837\) | −4.15359e10 | − | 2.00026e10i | −2.44841 | − | 1.17909i | ||||
\(838\) | −2.60306e8 | − | 5.40531e8i | −0.0152802 | − | 0.0317297i | ||||
\(839\) | 1.41300e10 | + | 3.22509e9i | 0.825993 | + | 0.188527i | 0.614565 | − | 0.788866i | \(-0.289332\pi\) |
0.211428 | + | 0.977394i | \(0.432189\pi\) | |||||||
\(840\) | −1.99603e9 | −0.116195 | ||||||||
\(841\) | −1.37010e10 | − | 1.04805e10i | −0.794266 | − | 0.607570i | ||||
\(842\) | −1.54197e9 | −0.0890193 | ||||||||
\(843\) | −3.29224e10 | − | 7.51432e9i | −1.89276 | − | 0.432009i | ||||
\(844\) | −9.44959e9 | − | 1.96223e10i | −0.541022 | − | 1.12344i | ||||
\(845\) | −1.64392e10 | − | 7.91671e9i | −0.937308 | − | 0.451384i | ||||
\(846\) | 1.87740e8 | − | 8.22542e8i | 0.0106601 | − | 0.0467048i | ||||
\(847\) | −1.85581e9 | − | 8.13084e9i | −0.104940 | − | 0.459773i | ||||
\(848\) | −9.84547e9 | + | 4.74133e9i | −0.554436 | + | 0.267002i | ||||
\(849\) | 6.08246e9 | + | 4.85060e9i | 0.341116 | + | 0.272031i | ||||
\(850\) | 5.51980e8 | − | 6.92161e8i | 0.0308288 | − | 0.0386581i | ||||
\(851\) | −4.75939e9 | + | 9.88298e9i | −0.264727 | + | 0.549711i | ||||
\(852\) | −1.70097e10 | + | 1.35648e10i | −0.942234 | + | 0.751407i | ||||
\(853\) | − | 1.54869e10i | − | 0.854362i | −0.904166 | − | 0.427181i | \(-0.859507\pi\) | ||
0.904166 | − | 0.427181i | \(-0.140493\pi\) | |||||||
\(854\) | 1.57809e8 | + | 1.97886e8i | 0.00867021 | + | 0.0108721i | ||||
\(855\) | −2.55779e10 | + | 5.83798e9i | −1.39953 | + | 0.319434i | ||||
\(856\) | −4.40924e9 | + | 1.00638e9i | −0.240273 | + | 0.0548408i | ||||
\(857\) | 1.02369e10 | + | 1.28366e10i | 0.555563 | + | 0.696654i | 0.977731 | − | 0.209863i | \(-0.0673020\pi\) |
−0.422167 | + | 0.906518i | \(0.638731\pi\) | |||||||
\(858\) | − | 2.00795e9i | − | 0.108530i | ||||||
\(859\) | 1.60399e10 | − | 1.27914e10i | 0.863425 | − | 0.688559i | −0.0881057 | − | 0.996111i | \(-0.528081\pi\) |
0.951531 | + | 0.307552i | \(0.0995099\pi\) | |||||||
\(860\) | 6.86710e9 | − | 1.42597e10i | 0.368153 | − | 0.764479i | ||||
\(861\) | −4.21279e9 | + | 5.28268e9i | −0.224936 | + | 0.282061i | ||||
\(862\) | −1.18574e9 | − | 9.45600e8i | −0.0630545 | − | 0.0502843i | ||||
\(863\) | 1.51111e10 | − | 7.27712e9i | 0.800310 | − | 0.385409i | 0.0114135 | − | 0.999935i | \(-0.496367\pi\) |
0.788897 | + | 0.614526i | \(0.210653\pi\) | |||||||
\(864\) | −4.23859e9 | − | 1.85705e10i | −0.223575 | − | 0.979546i | ||||
\(865\) | 3.84985e9 | − | 1.68673e10i | 0.202250 | − | 0.886113i | ||||
\(866\) | 2.66987e8 | + | 1.28574e8i | 0.0139694 | + | 0.00672730i | ||||
\(867\) | 1.03849e10 | + | 2.15646e10i | 0.541174 | + | 1.12376i | ||||
\(868\) | 3.75351e9 | + | 8.56715e8i | 0.194813 | + | 0.0444649i | ||||
\(869\) | −1.32970e9 | −0.0687362 | ||||||||
\(870\) | 1.37169e9 | − | 4.05086e9i | 0.0706219 | − | 0.208560i | ||||
\(871\) | −2.78650e9 | −0.142888 | ||||||||
\(872\) | 2.17643e9 | + | 4.96757e8i | 0.111157 | + | 0.0253709i | ||||
\(873\) | 1.41556e10 | + | 2.93944e10i | 0.720076 | + | 1.49525i | ||||
\(874\) | 4.00646e8 | + | 1.92941e8i | 0.0202988 | + | 0.00977540i | ||||
\(875\) | 8.21908e8 | − | 3.60102e9i | 0.0414758 | − | 0.181718i | ||||
\(876\) | 6.33287e9 | + | 2.77461e10i | 0.318300 | + | 1.39456i | ||||
\(877\) | −1.19514e10 | + | 5.75550e9i | −0.598303 | + | 0.288128i | −0.708420 | − | 0.705791i | \(-0.750592\pi\) |
0.110117 | + | 0.993919i | \(0.464877\pi\) | |||||||
\(878\) | 2.47298e9 | + | 1.97214e9i | 0.123308 | + | 0.0983346i | ||||
\(879\) | −1.47408e10 | + | 1.84844e10i | −0.732084 | + | 0.918004i | ||||
\(880\) | 1.68790e10 | − | 3.50496e10i | 0.834943 | − | 1.73378i | ||||
\(881\) | 1.51520e10 | − | 1.20833e10i | 0.746541 | − | 0.595346i | −0.174571 | − | 0.984645i | \(-0.555854\pi\) |
0.921112 | + | 0.389298i | \(0.127282\pi\) | |||||||
\(882\) | 5.08102e9i | 0.249351i | ||||||||
\(883\) | −2.05701e9 | − | 2.57941e9i | −0.100548 | − | 0.126083i | 0.729012 | − | 0.684501i | \(-0.239980\pi\) |
−0.829560 | + | 0.558418i | \(0.811409\pi\) | |||||||
\(884\) | 8.90608e9 | − | 2.03275e9i | 0.433614 | − | 0.0989696i | ||||
\(885\) | 5.76441e10 | − | 1.31569e10i | 2.79546 | − | 0.638046i | ||||
\(886\) | −1.71405e9 | − | 2.14935e9i | −0.0827951 | − | 0.103822i | ||||
\(887\) | 3.50978e10i | 1.68868i | 0.535810 | + | 0.844339i | \(0.320006\pi\) | ||||
−0.535810 | + | 0.844339i | \(0.679994\pi\) | |||||||
\(888\) | 6.63459e9 | − | 5.29091e9i | 0.317957 | − | 0.253563i | ||||
\(889\) | −3.15738e9 | + | 6.55637e9i | −0.150720 | + | 0.312973i | ||||
\(890\) | −3.24134e8 | + | 4.06451e8i | −0.0154120 | + | 0.0193260i | ||||
\(891\) | −1.14511e11 | − | 9.13196e10i | −5.42345 | − | 4.32506i | ||||
\(892\) | −2.44751e10 | + | 1.17866e10i | −1.15464 | + | 0.556046i | ||||
\(893\) | 3.62193e8 | + | 1.58687e9i | 0.0170200 | + | 0.0745696i | ||||
\(894\) | 1.17415e9 | − | 5.14428e9i | 0.0549594 | − | 0.240793i | ||||
\(895\) | 4.47506e9 | + | 2.15508e9i | 0.208650 | + | 0.100481i | ||||
\(896\) | 9.18844e8 | + | 1.90800e9i | 0.0426740 | + | 0.0886136i | ||||
\(897\) | −8.01576e9 | − | 1.82954e9i | −0.370827 | − | 0.0846388i | ||||
\(898\) | 2.30454e8 | 0.0106198 | ||||||||
\(899\) | −8.67551e9 | + | 1.41216e10i | −0.398232 | + | 0.648225i | ||||
\(900\) | −2.49392e10 | −1.14034 | ||||||||
\(901\) | 1.73228e10 | + | 3.95383e9i | 0.789010 | + | 0.180086i | ||||
\(902\) | 1.05280e9 | + | 2.18617e9i | 0.0477666 | + | 0.0991883i | ||||
\(903\) | 7.45979e9 | + | 3.59244e9i | 0.337147 | + | 0.162361i | ||||
\(904\) | −2.50218e8 | + | 1.09628e9i | −0.0112649 | + | 0.0493550i | ||||
\(905\) | 6.29228e9 | + | 2.75683e10i | 0.282188 | + | 1.23634i | ||||
\(906\) | 2.68351e9 | − | 1.29231e9i | 0.119882 | − | 0.0577321i | ||||
\(907\) | −1.57898e10 | − | 1.25919e10i | −0.702668 | − | 0.560359i | 0.205657 | − | 0.978624i | \(-0.434067\pi\) |
−0.908325 | + | 0.418265i | \(0.862638\pi\) | |||||||
\(908\) | −1.72299e10 | + | 2.16057e10i | −0.763806 | + | 0.957783i | ||||
\(909\) | −2.01368e10 | + | 4.18146e10i | −0.889238 | + | 1.84652i | ||||
\(910\) | 1.85971e8 | − | 1.48307e8i | 0.00818088 | − | 0.00652403i | ||||
\(911\) | 4.09750e10i | 1.79558i | 0.440426 | + | 0.897789i | \(0.354827\pi\) | ||||
−0.440426 | + | 0.897789i | \(0.645173\pi\) | |||||||
\(912\) | 1.16407e10 | + | 1.45969e10i | 0.508154 | + | 0.637205i | ||||
\(913\) | 6.60112e10 | − | 1.50666e10i | 2.87058 | − | 0.655192i | ||||
\(914\) | −1.94569e9 | + | 4.44091e8i | −0.0842872 | + | 0.0192380i | ||||
\(915\) | 1.85349e10 | + | 2.32421e10i | 0.799866 | + | 1.00300i | ||||
\(916\) | − | 3.91507e10i | − | 1.68308i | ||||||
\(917\) | 1.08842e9 | − | 8.67986e8i | 0.0466127 | − | 0.0371724i | ||||
\(918\) | −4.41163e9 | + | 9.16084e9i | −0.188213 | + | 0.390828i | ||||
\(919\) | −8.18265e9 | + | 1.02607e10i | −0.347768 | + | 0.436088i | −0.924695 | − | 0.380708i | \(-0.875680\pi\) |
0.576927 | + | 0.816796i | \(0.304252\pi\) | |||||||
\(920\) | 2.29472e9 | + | 1.82998e9i | 0.0971568 | + | 0.0774799i | ||||
\(921\) | 6.60368e10 | − | 3.18017e10i | 2.78534 | − | 1.34135i | ||||
\(922\) | 5.48329e8 | + | 2.40239e9i | 0.0230400 | + | 0.100945i | ||||
\(923\) | 1.15910e9 | − | 5.07833e9i | 0.0485192 | − | 0.212576i | ||||
\(924\) | 1.85055e10 | + | 8.91176e9i | 0.771699 | + | 0.371631i | ||||
\(925\) | −4.67943e9 | − | 9.71695e9i | −0.194400 | − | 0.403677i | ||||
\(926\) | 2.53028e9 | + | 5.77520e8i | 0.104720 | + | 0.0239017i | ||||
\(927\) | 5.91067e10 | 2.43701 | ||||||||
\(928\) | −6.79669e9 | + | 8.35407e8i | −0.279177 | + | 0.0343147i | ||||
\(929\) | −3.56869e9 | −0.146034 | −0.0730170 | − | 0.997331i | \(-0.523263\pi\) | ||||
−0.0730170 | + | 0.997331i | \(0.523263\pi\) | |||||||
\(930\) | −4.00611e9 | − | 9.14369e8i | −0.163318 | − | 0.0372762i | ||||
\(931\) | −4.25312e9 | − | 8.83170e9i | −0.172736 | − | 0.358691i | ||||
\(932\) | 2.18689e10 | + | 1.05315e10i | 0.884853 | + | 0.426123i | ||||
\(933\) | 1.51496e10 | − | 6.63748e10i | 0.610683 | − | 2.67558i | ||||
\(934\) | −9.09652e8 | − | 3.98545e9i | −0.0365310 | − | 0.160053i | ||||
\(935\) | −5.69905e10 | + | 2.74452e10i | −2.28014 | + | 1.09806i | ||||
\(936\) | 3.67317e9 | + | 2.92926e9i | 0.146412 | + | 0.116759i | ||||
\(937\) | 1.79887e10 | − | 2.25571e10i | 0.714349 | − | 0.895765i | −0.283655 | − | 0.958926i | \(-0.591547\pi\) |
0.998003 | + | 0.0631617i | \(0.0201184\pi\) | |||||||
\(938\) | −1.12382e8 | + | 2.33363e8i | −0.00444617 | + | 0.00923257i | ||||
\(939\) | −1.13977e10 | + | 9.08939e9i | −0.449251 | + | 0.358266i | ||||
\(940\) | 5.34733e9i | 0.209985i | ||||||||
\(941\) | −9.51410e9 | − | 1.19303e10i | −0.372224 | − | 0.466754i | 0.560076 | − | 0.828441i | \(-0.310772\pi\) |
−0.932299 | + | 0.361688i | \(0.882201\pi\) | |||||||
\(942\) | 3.54548e9 | − | 8.09233e8i | 0.138196 | − | 0.0315424i | ||||
\(943\) | 9.68645e9 | − | 2.21087e9i | 0.376161 | − | 0.0858562i | ||||
\(944\) | −1.93777e10 | − | 2.42988e10i | −0.749721 | − | 0.940120i | ||||
\(945\) | − | 2.91351e10i | − | 1.12307i | ||||||
\(946\) | 2.32468e9 | − | 1.85387e9i | 0.0892778 | − | 0.0711967i | ||||
\(947\) | 1.76571e10 | − | 3.66653e10i | 0.675607 | − | 1.40291i | −0.227620 | − | 0.973750i | \(-0.573095\pi\) |
0.903227 | − | 0.429162i | \(-0.141191\pi\) | |||||||
\(948\) | 1.30716e9 | − | 1.63912e9i | 0.0498308 | − | 0.0624859i | ||||
\(949\) | −5.32730e9 | − | 4.24838e9i | −0.202337 | − | 0.161358i | ||||
\(950\) | −3.93915e8 | + | 1.89700e8i | −0.0149063 | + | 0.00717850i | ||||
\(951\) | −6.47976e9 | − | 2.83897e10i | −0.244302 | − | 1.07036i | ||||
\(952\) | 3.79618e8 | − | 1.66321e9i | 0.0142599 | − | 0.0624768i | ||||
\(953\) | −3.86592e10 | − | 1.86173e10i | −1.44686 | − | 0.696773i | −0.464817 | − | 0.885407i | \(-0.653880\pi\) |
−0.982047 | + | 0.188634i | \(0.939594\pi\) | |||||||
\(954\) | 1.97349e9 | + | 4.09800e9i | 0.0735896 | + | 0.152810i | ||||
\(955\) | −1.88414e10 | − | 4.30042e9i | −0.700004 | − | 0.159771i | ||||
\(956\) | 3.65505e10 | 1.35298 | ||||||||
\(957\) | −6.18865e10 | + | 6.31495e10i | −2.28246 | + | 2.32904i | ||||
\(958\) | 2.42782e9 | 0.0892148 | ||||||||
\(959\) | 2.97153e9 | + | 6.78231e8i | 0.108796 | + | 0.0248321i | ||||
\(960\) | 2.61179e10 | + | 5.42343e10i | 0.952771 | + | 1.97845i | ||||
\(961\) | −1.04411e10 | − | 5.02816e9i | −0.379502 | − | 0.182759i | ||||
\(962\) | −2.25029e8 | + | 9.85915e8i | −0.00814939 | + | 0.0357048i | ||||
\(963\) | −2.27338e10 | − | 9.96031e10i | −0.820312 | − | 3.59402i | ||||
\(964\) | −3.65397e10 | + | 1.75966e10i | −1.31370 | + | 0.632643i | ||||
\(965\) | 4.36422e9 | + | 3.48035e9i | 0.156337 | + | 0.124674i | ||||
\(966\) | −4.76502e8 | + | 5.97514e8i | −0.0170077 | + | 0.0213269i | ||||
\(967\) | −8.09273e9 | + | 1.68047e10i | −0.287808 | + | 0.597638i | −0.993876 | − | 0.110506i | \(-0.964753\pi\) |
0.706068 | + | 0.708144i | \(0.250467\pi\) | |||||||
\(968\) | 7.41738e9 | − | 5.91516e9i | 0.262837 | − | 0.209606i | ||||
\(969\) | − | 3.03577e10i | − | 1.07185i | ||||||
\(970\) | 1.17155e9 | + | 1.46908e9i | 0.0412155 | + | 0.0516826i | ||||
\(971\) | −2.77972e10 | + | 6.34453e9i | −0.974392 | + | 0.222399i | −0.679940 | − | 0.733268i | \(-0.737994\pi\) |
−0.294452 | + | 0.955666i | \(0.595137\pi\) | |||||||
\(972\) | 1.26330e11 | − | 2.88341e10i | 4.41241 | − | 1.00710i | ||||
\(973\) | −6.11024e9 | − | 7.66200e9i | −0.212649 | − | 0.266653i | ||||
\(974\) | 8.57950e8i | 0.0297513i | ||||||||
\(975\) | 6.32015e9 | − | 5.04015e9i | 0.218379 | − | 0.174151i | ||||
\(976\) | 6.77992e9 | − | 1.40786e10i | 0.233426 | − | 0.484715i | ||||
\(977\) | 2.16918e10 | − | 2.72006e10i | 0.744156 | − | 0.933142i | −0.255275 | − | 0.966868i | \(-0.582166\pi\) |
0.999431 | + | 0.0337267i | \(0.0107376\pi\) | |||||||
\(978\) | −4.42920e9 | − | 3.53217e9i | −0.151405 | − | 0.120741i | ||||
\(979\) | 9.68339e9 | − | 4.66327e9i | 0.329828 | − | 0.158837i | ||||
\(980\) | −7.16593e9 | − | 3.13960e10i | −0.243210 | − | 1.06557i | ||||
\(981\) | −1.12216e10 | + | 4.91649e10i | −0.379500 | + | 1.66270i | ||||
\(982\) | 7.12990e8 | + | 3.43358e8i | 0.0240266 | + | 0.0115706i | ||||
\(983\) | 1.28019e10 | + | 2.65834e10i | 0.429870 | + | 0.892635i | 0.997588 | + | 0.0694117i | \(0.0221122\pi\) |
−0.567718 | + | 0.823223i | \(0.692174\pi\) | |||||||
\(984\) | −7.49355e9 | − | 1.71035e9i | −0.250729 | − | 0.0572273i | ||||
\(985\) | −1.72915e10 | −0.576508 | ||||||||
\(986\) | 3.11456e9 | + | 1.91340e9i | 0.103473 | + | 0.0635678i | ||||
\(987\) | −2.79739e9 | −0.0926069 | ||||||||
\(988\) | −4.39831e9 | − | 1.00389e9i | −0.145090 | − | 0.0331158i | ||||
\(989\) | −5.28252e9 | − | 1.09693e10i | −0.173642 | − | 0.360571i | ||||
\(990\) | −1.45887e10 | − | 7.02557e9i | −0.477854 | − | 0.230122i | ||||
\(991\) | −8.58814e9 | + | 3.76271e10i | −0.280312 | + | 1.22813i | 0.617083 | + | 0.786898i | \(0.288314\pi\) |
−0.897395 | + | 0.441228i | \(0.854543\pi\) | |||||||
\(992\) | 1.46405e9 | + | 6.41442e9i | 0.0476174 | + | 0.208625i | ||||
\(993\) | −6.04015e10 | + | 2.90878e10i | −1.95761 | + | 0.942733i | ||||
\(994\) | −3.78551e8 | − | 3.01885e8i | −0.0122257 | − | 0.00974964i | ||||
\(995\) | 2.38742e10 | − | 2.99373e10i | 0.768330 | − | 0.963456i | ||||
\(996\) | −4.63192e10 | + | 9.61829e10i | −1.48543 | + | 3.08454i | ||||
\(997\) | −3.51927e9 | + | 2.80653e9i | −0.112466 | + | 0.0896883i | −0.678108 | − | 0.734962i | \(-0.737200\pi\) |
0.565642 | + | 0.824651i | \(0.308628\pi\) | |||||||
\(998\) | 1.42327e9i | 0.0453241i | ||||||||
\(999\) | 7.72291e10 | + | 9.68422e10i | 2.45077 | + | 3.07316i |
(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 | 29.8.e.a.4.9 | ✓ | 96 | |
29.22 | even | 14 | inner | 29.8.e.a.22.9 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.8.e.a.4.9 | ✓ | 96 | 1.1 | even | 1 | trivial | |
29.8.e.a.22.9 | yes | 96 | 29.22 | even | 14 | inner |