Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,10,Mod(30,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.30");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(46.8682610909\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 30.18 | ||
Character | \(\chi\) | \(=\) | 91.30 |
Dual form | 91.10.u.a.88.18 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −23.8716 | + | 13.7823i | −1.05499 | + | 0.609096i | −0.924041 | − | 0.382293i | \(-0.875134\pi\) |
−0.130945 | + | 0.991390i | \(0.541801\pi\) | |||||||
\(3\) | 180.122 | 1.28387 | 0.641936 | − | 0.766758i | \(-0.278131\pi\) | ||||
0.641936 | + | 0.766758i | \(0.278131\pi\) | |||||||
\(4\) | 123.902 | − | 214.605i | 0.241997 | − | 0.419151i | ||||
\(5\) | 97.1768 | + | 56.1050i | 0.0695341 | + | 0.0401455i | 0.534364 | − | 0.845255i | \(-0.320551\pi\) |
−0.464830 | + | 0.885400i | \(0.653885\pi\) | |||||||
\(6\) | −4299.81 | + | 2482.50i | −1.35447 | + | 0.782002i | ||||
\(7\) | 6336.56 | − | 449.013i | 0.997499 | − | 0.0706835i | ||||
\(8\) | − | 7282.43i | − | 0.628596i | ||||||
\(9\) | 12761.0 | 0.648328 | ||||||||
\(10\) | −3093.02 | −0.0978099 | ||||||||
\(11\) | − | 6957.37i | − | 0.143277i | −0.997431 | − | 0.0716387i | \(-0.977177\pi\) | ||
0.997431 | − | 0.0716387i | \(-0.0228229\pi\) | |||||||
\(12\) | 22317.6 | − | 38655.2i | 0.310693 | − | 0.538136i | ||||
\(13\) | −93689.6 | − | 42740.6i | −0.909801 | − | 0.415045i | ||||
\(14\) | −145075. | + | 98050.9i | −1.00929 | + | 0.682143i | ||||
\(15\) | 17503.7 | + | 10105.8i | 0.0892728 | + | 0.0515417i | ||||
\(16\) | 163806. | + | 283721.i | 0.624872 | + | 1.08231i | ||||
\(17\) | 172213. | − | 298282.i | 0.500088 | − | 0.866177i | −0.499912 | − | 0.866076i | \(-0.666634\pi\) |
1.00000 | 0.000101191i | \(-3.22101e-5\pi\) | ||||||||
\(18\) | −304626. | + | 175876.i | −0.683977 | + | 0.394894i | ||||
\(19\) | − | 549002.i | − | 0.966458i | −0.875494 | − | 0.483229i | \(-0.839464\pi\) | ||
0.875494 | − | 0.483229i | \(-0.160536\pi\) | |||||||
\(20\) | 24080.9 | − | 13903.1i | 0.0336540 | − | 0.0194302i | ||||
\(21\) | 1.14136e6 | − | 80877.3i | 1.28066 | − | 0.0907486i | ||||
\(22\) | 95888.3 | + | 166083.i | 0.0872697 | + | 0.151156i | ||||
\(23\) | −514299. | − | 890791.i | −0.383213 | − | 0.663744i | 0.608307 | − | 0.793702i | \(-0.291849\pi\) |
−0.991520 | + | 0.129958i | \(0.958516\pi\) | |||||||
\(24\) | − | 1.31173e6i | − | 0.807036i | ||||||
\(25\) | −970267. | − | 1.68055e6i | −0.496777 | − | 0.860442i | ||||
\(26\) | 2.82558e6 | − | 270969.i | 1.21263 | − | 0.116289i | ||||
\(27\) | −1.24680e6 | −0.451502 | ||||||||
\(28\) | 688754. | − | 1.41549e6i | 0.211764 | − | 0.435207i | ||||
\(29\) | −2.88438e6 | + | 4.99590e6i | −0.757290 | + | 1.31166i | 0.186938 | + | 0.982372i | \(0.440144\pi\) |
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(30\) | −557122. | −0.125575 | ||||||||
\(31\) | −411744. | + | 237720.i | −0.0800755 | + | 0.0462316i | −0.539503 | − | 0.841984i | \(-0.681388\pi\) |
0.459428 | + | 0.888215i | \(0.348055\pi\) | |||||||
\(32\) | −4.59158e6 | − | 2.65095e6i | −0.774082 | − | 0.446917i | ||||
\(33\) | − | 1.25318e6i | − | 0.183950i | ||||||
\(34\) | 9.49396e6i | 1.21841i | ||||||||
\(35\) | 640958. | + | 311879.i | 0.0721978 | + | 0.0351302i | ||||
\(36\) | 1.58112e6 | − | 2.73858e6i | 0.156893 | − | 0.271747i | ||||
\(37\) | −1.56762e7 | + | 9.05068e6i | −1.37510 | + | 0.793914i | −0.991565 | − | 0.129613i | \(-0.958627\pi\) |
−0.383535 | + | 0.923527i | \(0.625293\pi\) | |||||||
\(38\) | 7.56650e6 | + | 1.31056e7i | 0.588666 | + | 1.01960i | ||||
\(39\) | −1.68756e7 | − | 7.69853e6i | −1.16807 | − | 0.532865i | ||||
\(40\) | 408581. | − | 707683.i | 0.0252353 | − | 0.0437088i | ||||
\(41\) | −1.25179e7 | − | 7.22720e6i | −0.691836 | − | 0.399432i | 0.112463 | − | 0.993656i | \(-0.464126\pi\) |
−0.804300 | + | 0.594224i | \(0.797459\pi\) | |||||||
\(42\) | −2.61313e7 | + | 1.76611e7i | −1.29580 | + | 0.875784i | ||||
\(43\) | 2.18877e6 | + | 3.79107e6i | 0.0976321 | + | 0.169104i | 0.910704 | − | 0.413059i | \(-0.135540\pi\) |
−0.813072 | + | 0.582163i | \(0.802206\pi\) | |||||||
\(44\) | −1.49309e6 | − | 862034.i | −0.0600548 | − | 0.0346727i | ||||
\(45\) | 1.24008e6 | + | 715958.i | 0.0450809 | + | 0.0260274i | ||||
\(46\) | 2.45543e7 | + | 1.41764e7i | 0.808568 | + | 0.466827i | ||||
\(47\) | −3.68808e7 | − | 2.12932e7i | −1.10245 | − | 0.636502i | −0.165589 | − | 0.986195i | \(-0.552953\pi\) |
−0.936864 | + | 0.349693i | \(0.886286\pi\) | |||||||
\(48\) | 2.95052e7 | + | 5.11045e7i | 0.802256 | + | 1.38955i | ||||
\(49\) | 3.99504e7 | − | 5.69040e6i | 0.990008 | − | 0.141013i | ||||
\(50\) | 4.63237e7 | + | 2.67450e7i | 1.04818 | + | 0.605170i | ||||
\(51\) | 3.10194e7 | − | 5.37272e7i | 0.642049 | − | 1.11206i | ||||
\(52\) | −2.07807e7 | + | 1.48106e7i | −0.394135 | + | 0.280904i | ||||
\(53\) | −2.28511e7 | − | 3.95792e7i | −0.397801 | − | 0.689011i | 0.595654 | − | 0.803241i | \(-0.296893\pi\) |
−0.993454 | + | 0.114231i | \(0.963560\pi\) | |||||||
\(54\) | 2.97631e7 | − | 1.71837e7i | 0.476328 | − | 0.275008i | ||||
\(55\) | 390343. | − | 676094.i | 0.00575194 | − | 0.00996266i | ||||
\(56\) | −3.26991e6 | − | 4.61455e7i | −0.0444313 | − | 0.627023i | ||||
\(57\) | − | 9.88875e7i | − | 1.24081i | ||||||
\(58\) | − | 1.59014e8i | − | 1.84505i | ||||||
\(59\) | 3.69279e7 | + | 2.13203e7i | 0.396753 | + | 0.229065i | 0.685082 | − | 0.728466i | \(-0.259766\pi\) |
−0.288329 | + | 0.957531i | \(0.593100\pi\) | |||||||
\(60\) | 4.33750e6 | − | 2.50426e6i | 0.0432075 | − | 0.0249458i | ||||
\(61\) | −3.90134e7 | −0.360769 | −0.180385 | − | 0.983596i | \(-0.557734\pi\) | ||||
−0.180385 | + | 0.983596i | \(0.557734\pi\) | |||||||
\(62\) | 6.55266e6 | − | 1.13495e7i | 0.0563190 | − | 0.0975474i | ||||
\(63\) | 8.08611e7 | − | 5.72987e6i | 0.646706 | − | 0.0458261i | ||||
\(64\) | −2.15933e7 | −0.160883 | ||||||||
\(65\) | −6.70649e6 | − | 9.40985e6i | −0.0465999 | − | 0.0653842i | ||||
\(66\) | 1.72716e7 | + | 2.99153e7i | 0.112043 | + | 0.194065i | ||||
\(67\) | 4.91502e7i | 0.297981i | 0.988839 | + | 0.148991i | \(0.0476024\pi\) | ||||
−0.988839 | + | 0.148991i | \(0.952398\pi\) | |||||||
\(68\) | −4.26752e7 | − | 7.39156e7i | −0.242039 | − | 0.419224i | ||||
\(69\) | −9.26366e7 | − | 1.60451e8i | −0.491996 | − | 0.852163i | ||||
\(70\) | −1.95991e7 | + | 1.38881e6i | −0.0975653 | + | 0.00691355i | ||||
\(71\) | 2.25789e8 | − | 1.30359e8i | 1.05449 | − | 0.608807i | 0.130584 | − | 0.991437i | \(-0.458315\pi\) |
0.923902 | + | 0.382630i | \(0.124982\pi\) | |||||||
\(72\) | − | 9.29313e7i | − | 0.407536i | ||||||
\(73\) | 1.44684e8 | − | 8.35334e7i | 0.596304 | − | 0.344276i | −0.171282 | − | 0.985222i | \(-0.554791\pi\) |
0.767586 | + | 0.640946i | \(0.221458\pi\) | |||||||
\(74\) | 2.49478e8 | − | 4.32108e8i | 0.967140 | − | 1.67514i | ||||
\(75\) | −1.74767e8 | − | 3.02705e8i | −0.637798 | − | 1.10470i | ||||
\(76\) | −1.17819e8 | − | 6.80226e7i | −0.405091 | − | 0.233880i | ||||
\(77\) | −3.12395e6 | − | 4.40858e7i | −0.0101273 | − | 0.142919i | ||||
\(78\) | 5.08951e8 | − | 4.88076e7i | 1.55686 | − | 0.149301i | ||||
\(79\) | 2.66269e8 | − | 4.61191e8i | 0.769127 | − | 1.33217i | −0.168910 | − | 0.985632i | \(-0.554025\pi\) |
0.938037 | − | 0.346536i | \(-0.112642\pi\) | |||||||
\(80\) | 3.67615e7i | 0.100343i | ||||||||
\(81\) | −4.75752e8 | −1.22800 | ||||||||
\(82\) | 3.98429e8 | 0.973170 | ||||||||
\(83\) | − | 1.31052e8i | − | 0.303105i | −0.988449 | − | 0.151552i | \(-0.951573\pi\) | ||
0.988449 | − | 0.151552i | \(-0.0484272\pi\) | |||||||
\(84\) | 1.24060e8 | − | 2.54962e8i | 0.271878 | − | 0.558751i | ||||
\(85\) | 3.34702e7 | − | 1.93241e7i | 0.0695462 | − | 0.0401525i | ||||
\(86\) | −1.04499e8 | − | 6.03325e7i | −0.206001 | − | 0.118935i | ||||
\(87\) | −5.19542e8 | + | 8.99873e8i | −0.972263 | + | 1.68401i | ||||
\(88\) | −5.06665e7 | −0.0900635 | ||||||||
\(89\) | 9.55022e8 | − | 5.51382e8i | 1.61346 | − | 0.931532i | 0.624900 | − | 0.780704i | \(-0.285140\pi\) |
0.988560 | − | 0.150827i | \(-0.0481938\pi\) | |||||||
\(90\) | −3.94702e7 | −0.0634129 | ||||||||
\(91\) | −6.12861e8 | − | 2.28761e8i | −0.936862 | − | 0.349699i | ||||
\(92\) | −2.54891e8 | −0.370945 | ||||||||
\(93\) | −7.41643e7 | + | 4.28188e7i | −0.102807 | + | 0.0593555i | ||||
\(94\) | 1.17387e9 | 1.55076 | ||||||||
\(95\) | 3.08018e7 | − | 5.33503e7i | 0.0387989 | − | 0.0672017i | ||||
\(96\) | −8.27046e8 | − | 4.77495e8i | −0.993823 | − | 0.573784i | ||||
\(97\) | 2.90215e8 | − | 1.67556e8i | 0.332849 | − | 0.192170i | −0.324256 | − | 0.945969i | \(-0.605114\pi\) |
0.657105 | + | 0.753799i | \(0.271781\pi\) | |||||||
\(98\) | −8.75253e8 | + | 6.86446e8i | −0.958553 | + | 0.751777i | ||||
\(99\) | − | 8.87832e7i | − | 0.0928907i | ||||||
\(100\) | −4.80873e8 | −0.480873 | ||||||||
\(101\) | 2.05113e8 | 0.196131 | 0.0980656 | − | 0.995180i | \(-0.468735\pi\) | ||||
0.0980656 | + | 0.995180i | \(0.468735\pi\) | |||||||
\(102\) | 1.71007e9i | 1.56428i | ||||||||
\(103\) | −6.25757e8 | + | 1.08384e9i | −0.547820 | + | 0.948852i | 0.450603 | + | 0.892724i | \(0.351209\pi\) |
−0.998424 | + | 0.0561282i | \(0.982124\pi\) | |||||||
\(104\) | −3.11255e8 | + | 6.82288e8i | −0.260896 | + | 0.571897i | ||||
\(105\) | 1.15451e8 | + | 5.61764e7i | 0.0926927 | + | 0.0451027i | ||||
\(106\) | 1.09098e9 | + | 6.29880e8i | 0.839348 | + | 0.484598i | ||||
\(107\) | −2.26116e8 | − | 3.91645e8i | −0.166765 | − | 0.288845i | 0.770516 | − | 0.637421i | \(-0.219999\pi\) |
−0.937281 | + | 0.348576i | \(0.886665\pi\) | |||||||
\(108\) | −1.54481e8 | + | 2.67570e8i | −0.109262 | + | 0.189247i | ||||
\(109\) | −1.55277e9 | + | 8.96493e8i | −1.05363 | + | 0.608314i | −0.923664 | − | 0.383204i | \(-0.874820\pi\) |
−0.129967 | + | 0.991518i | \(0.541487\pi\) | |||||||
\(110\) | 2.15193e7i | 0.0140140i | ||||||||
\(111\) | −2.82364e9 | + | 1.63023e9i | −1.76545 | + | 1.01928i | ||||
\(112\) | 1.16536e9 | + | 1.72426e9i | 0.699810 | + | 1.03543i | ||||
\(113\) | −1.10625e9 | − | 1.91608e9i | −0.638263 | − | 1.10550i | −0.985814 | − | 0.167843i | \(-0.946320\pi\) |
0.347551 | − | 0.937661i | \(-0.387013\pi\) | |||||||
\(114\) | 1.36290e9 | + | 2.36060e9i | 0.755772 | + | 1.30903i | ||||
\(115\) | − | 1.15419e8i | − | 0.0615371i | ||||||
\(116\) | 7.14764e8 | + | 1.23801e9i | 0.366523 | + | 0.634837i | ||||
\(117\) | −1.19558e9 | − | 5.45414e8i | −0.589849 | − | 0.269085i | ||||
\(118\) | −1.17537e9 | −0.558092 | ||||||||
\(119\) | 9.57306e8 | − | 1.96741e9i | 0.437612 | − | 0.899359i | ||||
\(120\) | 7.35945e7 | − | 1.27469e8i | 0.0323989 | − | 0.0561165i | ||||
\(121\) | 2.30954e9 | 0.979472 | ||||||||
\(122\) | 9.31313e8 | − | 5.37694e8i | 0.380607 | − | 0.219743i | ||||
\(123\) | −2.25475e9 | − | 1.30178e9i | −0.888229 | − | 0.512819i | ||||
\(124\) | 1.17816e8i | 0.0447516i | ||||||||
\(125\) | − | 4.36908e8i | − | 0.160064i | ||||||
\(126\) | −1.85131e9 | + | 1.25123e9i | −0.654353 | + | 0.442252i | ||||
\(127\) | −4.67766e8 | + | 8.10194e8i | −0.159556 | + | 0.276358i | −0.934708 | − | 0.355415i | \(-0.884339\pi\) |
0.775153 | + | 0.631774i | \(0.217673\pi\) | |||||||
\(128\) | 2.86636e9 | − | 1.65489e9i | 0.943811 | − | 0.544910i | ||||
\(129\) | 3.94247e8 | + | 6.82855e8i | 0.125347 | + | 0.217108i | ||||
\(130\) | 2.89784e8 | + | 1.32198e8i | 0.0889875 | + | 0.0405955i | ||||
\(131\) | 1.52399e9 | − | 2.63963e9i | 0.452129 | − | 0.783110i | −0.546390 | − | 0.837531i | \(-0.683998\pi\) |
0.998518 | + | 0.0544216i | \(0.0173315\pi\) | |||||||
\(132\) | −2.68938e8 | − | 1.55271e8i | −0.0771027 | − | 0.0445153i | ||||
\(133\) | −2.46509e8 | − | 3.47878e9i | −0.0683126 | − | 0.964040i | ||||
\(134\) | −6.77402e8 | − | 1.17329e9i | −0.181499 | − | 0.314366i | ||||
\(135\) | −1.21160e8 | − | 6.99518e7i | −0.0313948 | − | 0.0181258i | ||||
\(136\) | −2.17222e9 | − | 1.25413e9i | −0.544475 | − | 0.314353i | ||||
\(137\) | 5.44485e9 | + | 3.14359e9i | 1.32052 | + | 0.762400i | 0.983811 | − | 0.179210i | \(-0.0573541\pi\) |
0.336705 | + | 0.941610i | \(0.390687\pi\) | |||||||
\(138\) | 4.42277e9 | + | 2.55349e9i | 1.03810 | + | 0.599346i | ||||
\(139\) | −3.67125e9 | − | 6.35880e9i | −0.834157 | − | 1.44480i | −0.894715 | − | 0.446638i | \(-0.852621\pi\) |
0.0605575 | − | 0.998165i | \(-0.480712\pi\) | |||||||
\(140\) | 1.46347e8 | − | 9.89104e7i | 0.0321965 | − | 0.0217603i | ||||
\(141\) | −6.64306e9 | − | 3.83537e9i | −1.41541 | − | 0.817187i | ||||
\(142\) | −3.59330e9 | + | 6.22378e9i | −0.741645 | + | 1.28457i | ||||
\(143\) | −2.97362e8 | + | 6.51833e8i | −0.0594666 | + | 0.130354i | ||||
\(144\) | 2.09034e9 | + | 3.62057e9i | 0.405122 | + | 0.701692i | ||||
\(145\) | −5.60590e8 | + | 3.23657e8i | −0.105315 | + | 0.0608036i | ||||
\(146\) | −2.30256e9 | + | 3.98815e9i | −0.419395 | + | 0.726413i | ||||
\(147\) | 7.19595e9 | − | 1.02497e9i | 1.27104 | − | 0.181043i | ||||
\(148\) | 4.48560e9i | 0.768498i | ||||||||
\(149\) | 8.32325e9i | 1.38342i | 0.722174 | + | 0.691711i | \(0.243143\pi\) | ||||
−0.722174 | + | 0.691711i | \(0.756857\pi\) | |||||||
\(150\) | 8.34392e9 | + | 4.81737e9i | 1.34574 | + | 0.776961i | ||||
\(151\) | 2.50330e9 | − | 1.44528e9i | 0.391847 | − | 0.226233i | −0.291113 | − | 0.956689i | \(-0.594026\pi\) |
0.682960 | + | 0.730456i | \(0.260692\pi\) | |||||||
\(152\) | −3.99807e9 | −0.607511 | ||||||||
\(153\) | 2.19762e9 | − | 3.80639e9i | 0.324221 | − | 0.561567i | ||||
\(154\) | 6.82176e8 | + | 1.00934e9i | 0.0977357 | + | 0.144609i | ||||
\(155\) | −5.33493e7 | −0.00742396 | ||||||||
\(156\) | −3.74307e9 | + | 2.66772e9i | −0.506019 | + | 0.360645i | ||||
\(157\) | −4.99458e9 | − | 8.65086e9i | −0.656070 | − | 1.13635i | −0.981624 | − | 0.190823i | \(-0.938884\pi\) |
0.325554 | − | 0.945523i | \(-0.394449\pi\) | |||||||
\(158\) | 1.46792e10i | 1.87389i | ||||||||
\(159\) | −4.11599e9 | − | 7.12910e9i | −0.510725 | − | 0.884602i | ||||
\(160\) | −2.97463e8 | − | 5.15221e8i | −0.0358834 | − | 0.0621518i | ||||
\(161\) | −3.65886e9 | − | 5.41363e9i | −0.429170 | − | 0.634997i | ||||
\(162\) | 1.13570e10 | − | 6.55694e9i | 1.29552 | − | 0.747970i | ||||
\(163\) | 1.70894e10i | 1.89620i | 0.317976 | + | 0.948099i | \(0.396997\pi\) | ||||
−0.317976 | + | 0.948099i | \(0.603003\pi\) | |||||||
\(164\) | −3.10199e9 | + | 1.79093e9i | −0.334844 | + | 0.193322i | ||||
\(165\) | 7.03095e7 | − | 1.21780e8i | 0.00738476 | − | 0.0127908i | ||||
\(166\) | 1.80620e9 | + | 3.12843e9i | 0.184620 | + | 0.319771i | ||||
\(167\) | 6.15007e9 | + | 3.55075e9i | 0.611866 | + | 0.353261i | 0.773695 | − | 0.633558i | \(-0.218406\pi\) |
−0.161830 | + | 0.986819i | \(0.551740\pi\) | |||||||
\(168\) | −5.88983e8 | − | 8.31184e9i | −0.0570441 | − | 0.805018i | ||||
\(169\) | 6.95098e9 | + | 8.00870e9i | 0.655475 | + | 0.755217i | ||||
\(170\) | −5.32659e8 | + | 9.22592e8i | −0.0489135 | + | 0.0847207i | ||||
\(171\) | − | 7.00584e9i | − | 0.626581i | ||||||
\(172\) | 1.08478e9 | 0.0945066 | ||||||||
\(173\) | 1.10837e10 | 0.940753 | 0.470377 | − | 0.882466i | \(-0.344118\pi\) | ||||
0.470377 | + | 0.882466i | \(0.344118\pi\) | |||||||
\(174\) | − | 2.86419e10i | − | 2.36881i | ||||||
\(175\) | −6.90274e9 | − | 1.02133e10i | −0.556353 | − | 0.823176i | ||||
\(176\) | 1.97395e9 | − | 1.13966e9i | 0.155071 | − | 0.0895300i | ||||
\(177\) | 6.65153e9 | + | 3.84026e9i | 0.509380 | + | 0.294091i | ||||
\(178\) | −1.51986e10 | + | 2.63248e10i | −1.13479 | + | 1.96551i | ||||
\(179\) | −1.16878e10 | −0.850933 | −0.425467 | − | 0.904974i | \(-0.639890\pi\) | ||||
−0.425467 | + | 0.904974i | \(0.639890\pi\) | |||||||
\(180\) | 3.07297e8 | − | 1.77418e8i | 0.0218188 | − | 0.0125971i | ||||
\(181\) | −1.36267e10 | −0.943707 | −0.471853 | − | 0.881677i | \(-0.656415\pi\) | ||||
−0.471853 | + | 0.881677i | \(0.656415\pi\) | |||||||
\(182\) | 1.77828e10 | − | 2.98574e9i | 1.20138 | − | 0.201711i | ||||
\(183\) | −7.02719e9 | −0.463182 | ||||||||
\(184\) | −6.48712e9 | + | 3.74534e9i | −0.417227 | + | 0.240886i | ||||
\(185\) | −2.03116e9 | −0.127488 | ||||||||
\(186\) | 1.18028e9 | − | 2.04430e9i | 0.0723064 | − | 0.125238i | ||||
\(187\) | −2.07526e9 | − | 1.19815e9i | −0.124104 | − | 0.0716513i | ||||
\(188\) | −9.13924e9 | + | 5.27654e9i | −0.533580 | + | 0.308063i | ||||
\(189\) | −7.90042e9 | + | 5.59830e8i | −0.450373 | + | 0.0319138i | ||||
\(190\) | 1.69808e9i | 0.0945291i | ||||||||
\(191\) | 1.50804e10 | 0.819905 | 0.409952 | − | 0.912107i | \(-0.365545\pi\) | ||||
0.409952 | + | 0.912107i | \(0.365545\pi\) | |||||||
\(192\) | −3.88944e9 | −0.206553 | ||||||||
\(193\) | 7.80019e9i | 0.404667i | 0.979317 | + | 0.202333i | \(0.0648524\pi\) | ||||
−0.979317 | + | 0.202333i | \(0.935148\pi\) | |||||||
\(194\) | −4.61860e9 | + | 7.99964e9i | −0.234100 | + | 0.405474i | ||||
\(195\) | −1.20799e9 | − | 1.69492e9i | −0.0598283 | − | 0.0839449i | ||||
\(196\) | 3.72876e9 | − | 9.27861e9i | 0.180473 | − | 0.449087i | ||||
\(197\) | 9.40448e9 | + | 5.42968e9i | 0.444874 | + | 0.256848i | 0.705663 | − | 0.708548i | \(-0.250649\pi\) |
−0.260789 | + | 0.965396i | \(0.583983\pi\) | |||||||
\(198\) | 1.22363e9 | + | 2.11940e9i | 0.0565794 | + | 0.0979984i | ||||
\(199\) | 6.28357e9 | − | 1.08835e10i | 0.284032 | − | 0.491958i | −0.688342 | − | 0.725387i | \(-0.741661\pi\) |
0.972374 | + | 0.233428i | \(0.0749944\pi\) | |||||||
\(200\) | −1.22385e10 | + | 7.06590e9i | −0.540870 | + | 0.312272i | ||||
\(201\) | 8.85305e9i | 0.382570i | ||||||||
\(202\) | −4.89637e9 | + | 2.82692e9i | −0.206916 | + | 0.119463i | ||||
\(203\) | −1.60338e10 | + | 3.29519e10i | −0.662683 | + | 1.36191i | ||||
\(204\) | −7.68675e9 | − | 1.33139e10i | −0.310747 | − | 0.538230i | ||||
\(205\) | −8.10965e8 | − | 1.40463e9i | −0.0320708 | − | 0.0555482i | ||||
\(206\) | − | 3.44974e10i | − | 1.33470i | ||||||
\(207\) | −6.56298e9 | − | 1.13674e10i | −0.248448 | − | 0.430324i | ||||
\(208\) | −3.22055e9 | − | 3.35829e10i | −0.119301 | − | 1.24404i | ||||
\(209\) | −3.81961e9 | −0.138472 | ||||||||
\(210\) | −3.53024e9 | + | 2.50155e8i | −0.125261 | + | 0.00887611i | ||||
\(211\) | −9.96810e9 | + | 1.72653e10i | −0.346212 | + | 0.599656i | −0.985573 | − | 0.169250i | \(-0.945865\pi\) |
0.639362 | + | 0.768906i | \(0.279199\pi\) | |||||||
\(212\) | −1.13252e10 | −0.385066 | ||||||||
\(213\) | 4.06697e10 | − | 2.34806e10i | 1.35382 | − | 0.781631i | ||||
\(214\) | 1.07955e10 | + | 6.23279e9i | 0.351869 | + | 0.203152i | ||||
\(215\) | 4.91205e8i | 0.0156780i | ||||||||
\(216\) | 9.07973e9i | 0.283812i | ||||||||
\(217\) | −2.50230e9 | + | 1.69121e9i | −0.0766074 | + | 0.0517760i | ||||
\(218\) | 2.47114e10 | − | 4.28015e10i | 0.741044 | − | 1.28353i | ||||
\(219\) | 2.60608e10 | − | 1.50462e10i | 0.765578 | − | 0.442007i | ||||
\(220\) | −9.67289e7 | − | 1.67539e8i | −0.00278390 | − | 0.00482186i | ||||
\(221\) | −2.88833e10 | + | 2.05854e10i | −0.814483 | + | 0.580490i | ||||
\(222\) | 4.49365e10 | − | 7.78324e10i | 1.24168 | − | 2.15066i | ||||
\(223\) | −4.78673e10 | − | 2.76362e10i | −1.29619 | − | 0.748353i | −0.316443 | − | 0.948612i | \(-0.602488\pi\) |
−0.979743 | + | 0.200259i | \(0.935822\pi\) | |||||||
\(224\) | −3.02851e10 | − | 1.47362e10i | −0.803736 | − | 0.391084i | ||||
\(225\) | −1.23816e10 | − | 2.14456e10i | −0.322074 | − | 0.557849i | ||||
\(226\) | 5.28159e10 | + | 3.04932e10i | 1.34672 | + | 0.777527i | ||||
\(227\) | 2.46225e10 | + | 1.42158e10i | 0.615481 | + | 0.355348i | 0.775108 | − | 0.631829i | \(-0.217696\pi\) |
−0.159626 | + | 0.987178i | \(0.551029\pi\) | |||||||
\(228\) | −2.12218e10 | − | 1.22524e10i | −0.520085 | − | 0.300271i | ||||
\(229\) | −3.14686e10 | − | 1.81684e10i | −0.756168 | − | 0.436574i | 0.0717504 | − | 0.997423i | \(-0.477142\pi\) |
−0.827918 | + | 0.560849i | \(0.810475\pi\) | |||||||
\(230\) | 1.59074e9 | + | 2.75524e9i | 0.0374820 | + | 0.0649208i | ||||
\(231\) | −5.62693e8 | − | 7.94083e9i | −0.0130022 | − | 0.183490i | ||||
\(232\) | 3.63823e10 | + | 2.10053e10i | 0.824506 | + | 0.476029i | ||||
\(233\) | 4.36135e10 | − | 7.55408e10i | 0.969437 | − | 1.67911i | 0.272246 | − | 0.962228i | \(-0.412233\pi\) |
0.697190 | − | 0.716886i | \(-0.254433\pi\) | |||||||
\(234\) | 3.60574e10 | − | 3.45785e9i | 0.786181 | − | 0.0753936i | ||||
\(235\) | −2.38931e9 | − | 4.13840e9i | −0.0511054 | − | 0.0885171i | ||||
\(236\) | 9.15089e9 | − | 5.28327e9i | 0.192026 | − | 0.110866i | ||||
\(237\) | 4.79609e10 | − | 8.30708e10i | 0.987461 | − | 1.71033i | ||||
\(238\) | 4.26291e9 | + | 6.01590e10i | 0.0861212 | + | 1.21536i | ||||
\(239\) | 2.43279e10i | 0.482296i | 0.970488 | + | 0.241148i | \(0.0775239\pi\) | ||||
−0.970488 | + | 0.241148i | \(0.922476\pi\) | |||||||
\(240\) | 6.62156e9i | 0.128828i | ||||||||
\(241\) | 7.52016e10 | + | 4.34176e10i | 1.43599 | + | 0.829067i | 0.997568 | − | 0.0697040i | \(-0.0222055\pi\) |
0.438418 | + | 0.898771i | \(0.355539\pi\) | |||||||
\(242\) | −5.51325e10 | + | 3.18308e10i | −1.03333 | + | 0.596593i | ||||
\(243\) | −6.11528e10 | −1.12509 | ||||||||
\(244\) | −4.83385e9 | + | 8.37248e9i | −0.0873050 | + | 0.151217i | ||||
\(245\) | 4.20151e9 | + | 1.68844e9i | 0.0745003 | + | 0.0299391i | ||||
\(246\) | 7.17659e10 | 1.24943 | ||||||||
\(247\) | −2.34647e10 | + | 5.14358e10i | −0.401124 | + | 0.879284i | ||||
\(248\) | 1.73118e9 | + | 2.99850e9i | 0.0290610 | + | 0.0503351i | ||||
\(249\) | − | 2.36054e10i | − | 0.389148i | ||||||
\(250\) | 6.02158e9 | + | 1.04297e10i | 0.0974946 | + | 0.168866i | ||||
\(251\) | −4.10284e10 | − | 7.10632e10i | −0.652458 | − | 1.13009i | −0.982525 | − | 0.186133i | \(-0.940405\pi\) |
0.330067 | − | 0.943958i | \(-0.392929\pi\) | |||||||
\(252\) | 8.78921e9 | − | 1.80631e10i | 0.137293 | − | 0.282157i | ||||
\(253\) | −6.19756e9 | + | 3.57816e9i | −0.0950996 | + | 0.0549058i | ||||
\(254\) | − | 2.57875e10i | − | 0.388739i | ||||||
\(255\) | 6.02874e9 | − | 3.48069e9i | 0.0892885 | − | 0.0515507i | ||||
\(256\) | −4.00884e10 | + | 6.94352e10i | −0.583364 | + | 1.01042i | ||||
\(257\) | 1.27287e10 | + | 2.20467e10i | 0.182005 | + | 0.315242i | 0.942563 | − | 0.334028i | \(-0.108408\pi\) |
−0.760558 | + | 0.649270i | \(0.775075\pi\) | |||||||
\(258\) | −1.88226e10 | − | 1.08672e10i | −0.264479 | − | 0.152697i | ||||
\(259\) | −9.52695e10 | + | 6.43890e10i | −1.31554 | + | 0.889125i | ||||
\(260\) | −2.85035e9 | + | 2.73344e8i | −0.0386828 | + | 0.00370963i | ||||
\(261\) | −3.68077e10 | + | 6.37528e10i | −0.490972 | + | 0.850388i | ||||
\(262\) | 8.40163e10i | 1.10156i | ||||||||
\(263\) | −8.34471e10 | −1.07550 | −0.537750 | − | 0.843104i | \(-0.680726\pi\) | ||||
−0.537750 | + | 0.843104i | \(0.680726\pi\) | |||||||
\(264\) | −9.12617e9 | −0.115630 | ||||||||
\(265\) | − | 5.12824e9i | − | 0.0638796i | ||||||
\(266\) | 5.38301e10 | + | 7.96467e10i | 0.659262 | + | 0.975440i | ||||
\(267\) | 1.72021e11 | − | 9.93162e10i | 2.07148 | − | 1.19597i | ||||
\(268\) | 1.05479e10 | + | 6.08983e9i | 0.124899 | + | 0.0721105i | ||||
\(269\) | 5.43242e10 | − | 9.40922e10i | 0.632569 | − | 1.09564i | −0.354456 | − | 0.935073i | \(-0.615334\pi\) |
0.987025 | − | 0.160569i | \(-0.0513329\pi\) | |||||||
\(270\) | 3.85638e9 | 0.0441614 | ||||||||
\(271\) | −8.07016e10 | + | 4.65931e10i | −0.908909 | + | 0.524759i | −0.880080 | − | 0.474826i | \(-0.842511\pi\) |
−0.0288290 | + | 0.999584i | \(0.509178\pi\) | |||||||
\(272\) | 1.12838e11 | 1.24996 | ||||||||
\(273\) | −1.10390e11 | − | 4.12049e10i | −1.20281 | − | 0.448969i | ||||
\(274\) | −1.73303e11 | −1.85750 | ||||||||
\(275\) | −1.16922e10 | + | 6.75050e9i | −0.123282 | + | 0.0711769i | ||||
\(276\) | −4.59116e10 | −0.476246 | ||||||||
\(277\) | −2.61349e10 | + | 4.52669e10i | −0.266723 | + | 0.461979i | −0.968014 | − | 0.250897i | \(-0.919274\pi\) |
0.701290 | + | 0.712876i | \(0.252608\pi\) | |||||||
\(278\) | 1.75277e11 | + | 1.01197e11i | 1.76005 | + | 1.01616i | ||||
\(279\) | −5.25428e9 | + | 3.03356e9i | −0.0519152 | + | 0.0299732i | ||||
\(280\) | 2.27124e9 | − | 4.66773e9i | 0.0220827 | − | 0.0453832i | ||||
\(281\) | − | 6.29490e10i | − | 0.602297i | −0.953577 | − | 0.301148i | \(-0.902630\pi\) | ||
0.953577 | − | 0.301148i | \(-0.0973699\pi\) | |||||||
\(282\) | 2.11441e11 | 1.99098 | ||||||||
\(283\) | −2.36915e9 | −0.0219561 | −0.0109780 | − | 0.999940i | \(-0.503494\pi\) | ||||
−0.0109780 | + | 0.999940i | \(0.503494\pi\) | |||||||
\(284\) | − | 6.46073e10i | − | 0.589318i | ||||||
\(285\) | 5.54809e9 | − | 9.60957e9i | 0.0498129 | − | 0.0862784i | ||||
\(286\) | −1.88523e9 | − | 1.96586e10i | −0.0166616 | − | 0.173742i | ||||
\(287\) | −8.25654e10 | − | 4.01749e10i | −0.718339 | − | 0.349531i | ||||
\(288\) | −5.85933e10 | − | 3.38289e10i | −0.501859 | − | 0.289748i | ||||
\(289\) | −2.07859e7 | − | 3.60022e7i | −0.000175278 | − | 0.000303591i | ||||
\(290\) | 8.92146e9 | − | 1.54524e10i | 0.0740704 | − | 0.128294i | ||||
\(291\) | 5.22742e10 | − | 3.01805e10i | 0.427335 | − | 0.246722i | ||||
\(292\) | − | 4.13999e10i | − | 0.333255i | ||||||
\(293\) | 4.73163e10 | − | 2.73181e10i | 0.375065 | − | 0.216544i | −0.300604 | − | 0.953749i | \(-0.597188\pi\) |
0.675669 | + | 0.737205i | \(0.263855\pi\) | |||||||
\(294\) | −1.57653e11 | + | 1.23644e11i | −1.23066 | + | 0.965186i | ||||
\(295\) | 2.39235e9 | + | 4.14368e9i | 0.0183919 | + | 0.0318557i | ||||
\(296\) | 6.59109e10 | + | 1.14161e11i | 0.499051 | + | 0.864381i | ||||
\(297\) | 8.67444e9i | 0.0646901i | ||||||||
\(298\) | −1.14713e11 | − | 1.98689e11i | −0.842638 | − | 1.45949i | ||||
\(299\) | 1.01115e10 | + | 1.05439e11i | 0.0731634 | + | 0.762926i | ||||
\(300\) | −8.66160e10 | −0.617380 | ||||||||
\(301\) | 1.55715e10 | + | 2.30395e10i | 0.109341 | + | 0.161780i | ||||
\(302\) | −3.98385e10 | + | 6.90024e10i | −0.275595 | + | 0.477345i | ||||
\(303\) | 3.69454e10 | 0.251807 | ||||||||
\(304\) | 1.55763e11 | − | 8.99301e10i | 1.04601 | − | 0.603912i | ||||
\(305\) | −3.79120e9 | − | 2.18885e9i | −0.0250858 | − | 0.0144833i | ||||
\(306\) | 1.21153e11i | 0.789927i | ||||||||
\(307\) | 1.08841e11i | 0.699313i | 0.936878 | + | 0.349656i | \(0.113702\pi\) | ||||
−0.936878 | + | 0.349656i | \(0.886298\pi\) | |||||||
\(308\) | −9.84809e9 | − | 4.79191e9i | −0.0623554 | − | 0.0303411i | ||||
\(309\) | −1.12713e11 | + | 1.95224e11i | −0.703331 | + | 1.21821i | ||||
\(310\) | 1.27353e9 | − | 7.35274e8i | 0.00783218 | − | 0.00452191i | ||||
\(311\) | −9.48539e10 | − | 1.64292e11i | −0.574954 | − | 0.995850i | −0.996047 | − | 0.0888322i | \(-0.971687\pi\) |
0.421092 | − | 0.907018i | \(-0.361647\pi\) | |||||||
\(312\) | −5.60640e10 | + | 1.22895e11i | −0.334957 | + | 0.734242i | ||||
\(313\) | −1.13773e11 | + | 1.97061e11i | −0.670024 | + | 1.16052i | 0.307873 | + | 0.951427i | \(0.400383\pi\) |
−0.977897 | + | 0.209088i | \(0.932950\pi\) | |||||||
\(314\) | 2.38457e11 | + | 1.37673e11i | 1.38429 | + | 0.799220i | ||||
\(315\) | 8.17929e9 | + | 3.97990e9i | 0.0468078 | + | 0.0227759i | ||||
\(316\) | −6.59826e10 | − | 1.14285e11i | −0.372252 | − | 0.644760i | ||||
\(317\) | 1.86329e11 | + | 1.07577e11i | 1.03637 | + | 0.598346i | 0.918802 | − | 0.394719i | \(-0.129158\pi\) |
0.117564 | + | 0.993065i | \(0.462492\pi\) | |||||||
\(318\) | 1.96511e11 | + | 1.13455e11i | 1.07762 | + | 0.622161i | ||||
\(319\) | 3.47583e10 | + | 2.00677e10i | 0.187932 | + | 0.108503i | ||||
\(320\) | −2.09837e9 | − | 1.21149e9i | −0.0111868 | − | 0.00645872i | ||||
\(321\) | −4.07286e10 | − | 7.05440e10i | −0.214105 | − | 0.370840i | ||||
\(322\) | 1.61955e11 | + | 7.88045e10i | 0.839543 | + | 0.408507i | ||||
\(323\) | −1.63757e11 | − | 9.45454e10i | −0.837124 | − | 0.483314i | ||||
\(324\) | −5.89468e10 | + | 1.02099e11i | −0.297172 | + | 0.514716i | ||||
\(325\) | 1.90761e10 | + | 1.98920e11i | 0.0948452 | + | 0.989016i | ||||
\(326\) | −2.35531e11 | − | 4.07952e11i | −1.15497 | − | 2.00046i | ||||
\(327\) | −2.79689e11 | + | 1.61478e11i | −1.35273 | + | 0.780997i | ||||
\(328\) | −5.26316e10 | + | 9.11605e10i | −0.251081 | + | 0.434885i | ||||
\(329\) | −2.43258e11 | − | 1.18365e11i | −1.14469 | − | 0.556984i | ||||
\(330\) | 3.87610e9i | 0.0179921i | ||||||||
\(331\) | 1.70683e11i | 0.781564i | 0.920483 | + | 0.390782i | \(0.127795\pi\) | ||||
−0.920483 | + | 0.390782i | \(0.872205\pi\) | |||||||
\(332\) | −2.81245e10 | − | 1.62377e10i | −0.127047 | − | 0.0733504i | ||||
\(333\) | −2.00045e11 | + | 1.15496e11i | −0.891515 | + | 0.514716i | ||||
\(334\) | −1.95749e11 | −0.860679 | ||||||||
\(335\) | −2.75758e9 | + | 4.77626e9i | −0.0119626 | + | 0.0207198i | ||||
\(336\) | 2.09908e11 | + | 3.10578e11i | 0.898467 | + | 1.32937i | ||||
\(337\) | 1.79523e11 | 0.758204 | 0.379102 | − | 0.925355i | \(-0.376233\pi\) | ||||
0.379102 | + | 0.925355i | \(0.376233\pi\) | |||||||
\(338\) | −2.76309e11 | − | 9.53801e10i | −1.15152 | − | 0.397496i | ||||
\(339\) | −1.99260e11 | − | 3.45128e11i | −0.819448 | − | 1.41933i | ||||
\(340\) | − | 9.57718e9i | − | 0.0388671i | ||||||
\(341\) | 1.65391e9 | + | 2.86465e9i | 0.00662394 | + | 0.0114730i | ||||
\(342\) | 9.65564e10 | + | 1.67241e11i | 0.381648 | + | 0.661034i | ||||
\(343\) | 2.50593e11 | − | 5.39958e10i | 0.977564 | − | 0.210638i | ||||
\(344\) | 2.76082e10 | − | 1.59396e10i | 0.106298 | − | 0.0613711i | ||||
\(345\) | − | 2.07895e10i | − | 0.0790058i | ||||||
\(346\) | −2.64585e11 | + | 1.52758e11i | −0.992481 | + | 0.573009i | ||||
\(347\) | −1.38902e11 | + | 2.40586e11i | −0.514312 | + | 0.890815i | 0.485550 | + | 0.874209i | \(0.338619\pi\) |
−0.999862 | + | 0.0166059i | \(0.994714\pi\) | |||||||
\(348\) | 1.28745e11 | + | 2.22993e11i | 0.470569 | + | 0.815049i | ||||
\(349\) | −1.30779e11 | − | 7.55051e10i | −0.471870 | − | 0.272434i | 0.245152 | − | 0.969485i | \(-0.421162\pi\) |
−0.717022 | + | 0.697050i | \(0.754495\pi\) | |||||||
\(350\) | 3.05541e11 | + | 1.48671e11i | 1.08834 | + | 0.529567i | ||||
\(351\) | 1.16812e11 | + | 5.32890e10i | 0.410777 | + | 0.187394i | ||||
\(352\) | −1.84436e10 | + | 3.19453e10i | −0.0640331 | + | 0.110909i | ||||
\(353\) | − | 1.38509e11i | − | 0.474778i | −0.971415 | − | 0.237389i | \(-0.923708\pi\) | ||
0.971415 | − | 0.237389i | \(-0.0762916\pi\) | |||||||
\(354\) | −2.11710e11 | −0.716518 | ||||||||
\(355\) | 2.92553e10 | 0.0977635 | ||||||||
\(356\) | − | 2.73270e11i | − | 0.901710i | ||||||
\(357\) | 1.72432e11 | − | 3.54374e11i | 0.561838 | − | 1.15466i | ||||
\(358\) | 2.79007e11 | − | 1.61085e11i | 0.897723 | − | 0.518300i | ||||
\(359\) | 1.36301e11 | + | 7.86936e10i | 0.433087 | + | 0.250043i | 0.700661 | − | 0.713494i | \(-0.252889\pi\) |
−0.267574 | + | 0.963537i | \(0.586222\pi\) | |||||||
\(360\) | 5.21392e9 | − | 9.03077e9i | 0.0163607 | − | 0.0283376i | ||||
\(361\) | 2.12844e10 | 0.0659597 | ||||||||
\(362\) | 3.25291e11 | − | 1.87807e11i | 0.995597 | − | 0.574808i | ||||
\(363\) | 4.16000e11 | 1.25752 | ||||||||
\(364\) | −1.25028e11 | + | 1.03179e11i | −0.373294 | + | 0.308060i | ||||
\(365\) | 1.87466e10 | 0.0552846 | ||||||||
\(366\) | 1.67750e11 | − | 9.68506e10i | 0.488650 | − | 0.282122i | ||||
\(367\) | 1.77280e11 | 0.510109 | 0.255055 | − | 0.966927i | \(-0.417907\pi\) | ||||
0.255055 | + | 0.966927i | \(0.417907\pi\) | |||||||
\(368\) | 1.68491e11 | − | 2.91835e11i | 0.478918 | − | 0.829510i | ||||
\(369\) | −1.59741e11 | − | 9.22265e10i | −0.448537 | − | 0.258963i | ||||
\(370\) | 4.84869e10 | − | 2.79939e10i | 0.134498 | − | 0.0776527i | ||||
\(371\) | −1.62569e11 | − | 2.40536e11i | −0.445507 | − | 0.659169i | ||||
\(372\) | 2.12214e10i | 0.0574553i | ||||||||
\(373\) | 2.08365e11 | 0.557360 | 0.278680 | − | 0.960384i | \(-0.410103\pi\) | ||||
0.278680 | + | 0.960384i | \(0.410103\pi\) | |||||||
\(374\) | 6.60529e10 | 0.174570 | ||||||||
\(375\) | − | 7.86968e10i | − | 0.205502i | ||||||
\(376\) | −1.55066e11 | + | 2.68582e11i | −0.400102 | + | 0.692997i | ||||
\(377\) | 4.83765e11 | − | 3.44783e11i | 1.23338 | − | 0.879044i | ||||
\(378\) | 1.80880e11 | − | 1.22250e11i | 0.455698 | − | 0.307989i | ||||
\(379\) | −5.58249e11 | − | 3.22305e11i | −1.38980 | − | 0.802400i | −0.396505 | − | 0.918032i | \(-0.629777\pi\) |
−0.993292 | + | 0.115633i | \(0.963111\pi\) | |||||||
\(380\) | −7.63282e9 | − | 1.32204e10i | −0.0187784 | − | 0.0325252i | ||||
\(381\) | −8.42551e10 | + | 1.45934e11i | −0.204849 | + | 0.354809i | ||||
\(382\) | −3.59994e11 | + | 2.07843e11i | −0.864988 | + | 0.499401i | ||||
\(383\) | − | 2.79351e11i | − | 0.663369i | −0.943390 | − | 0.331684i | \(-0.892383\pi\) | ||
0.943390 | − | 0.331684i | \(-0.107617\pi\) | |||||||
\(384\) | 5.16294e11 | − | 2.98083e11i | 1.21173 | − | 0.699594i | ||||
\(385\) | 2.16986e9 | − | 4.45938e9i | 0.00503336 | − | 0.0103443i | ||||
\(386\) | −1.07504e11 | − | 1.86203e11i | −0.246481 | − | 0.426917i | ||||
\(387\) | 2.79310e10 | + | 4.83779e10i | 0.0632976 | + | 0.109635i | ||||
\(388\) | − | 8.30421e10i | − | 0.186018i | ||||||
\(389\) | −2.36024e10 | − | 4.08805e10i | −0.0522615 | − | 0.0905196i | 0.838711 | − | 0.544577i | \(-0.183310\pi\) |
−0.890973 | + | 0.454057i | \(0.849976\pi\) | |||||||
\(390\) | 5.21965e10 | + | 2.38117e10i | 0.114249 | + | 0.0521195i | ||||
\(391\) | −3.54276e11 | −0.766560 | ||||||||
\(392\) | −4.14399e10 | − | 2.90936e11i | −0.0886404 | − | 0.622314i | ||||
\(393\) | 2.74505e11 | − | 4.75457e11i | 0.580475 | − | 1.00541i | ||||
\(394\) | −2.99333e11 | −0.625781 | ||||||||
\(395\) | 5.17503e10 | − | 2.98780e10i | 0.106961 | − | 0.0617540i | ||||
\(396\) | −1.90533e10 | − | 1.10004e10i | −0.0389352 | − | 0.0224792i | ||||
\(397\) | 3.96248e11i | 0.800589i | 0.916387 | + | 0.400294i | \(0.131092\pi\) | ||||
−0.916387 | + | 0.400294i | \(0.868908\pi\) | |||||||
\(398\) | 3.46408e11i | 0.692012i | ||||||||
\(399\) | −4.44018e10 | − | 6.26607e11i | −0.0877046 | − | 1.23770i | ||||
\(400\) | 3.17872e11 | − | 5.50570e11i | 0.620844 | − | 1.07533i | ||||
\(401\) | 7.24324e11 | − | 4.18189e11i | 1.39889 | − | 0.807649i | 0.404612 | − | 0.914488i | \(-0.367406\pi\) |
0.994276 | + | 0.106840i | \(0.0340731\pi\) | |||||||
\(402\) | −1.22015e11 | − | 2.11337e11i | −0.233022 | − | 0.403606i | ||||
\(403\) | 4.87364e10 | − | 4.67375e9i | 0.0920410 | − | 0.00882659i | ||||
\(404\) | 2.54139e10 | − | 4.40182e10i | 0.0474631 | − | 0.0822085i | ||||
\(405\) | −4.62320e10 | − | 2.66921e10i | −0.0853877 | − | 0.0492986i | ||||
\(406\) | −7.13992e10 | − | 1.00760e12i | −0.130415 | − | 1.84043i | ||||
\(407\) | 6.29689e10 | + | 1.09065e11i | 0.113750 | + | 0.197021i | ||||
\(408\) | −3.91265e11 | − | 2.25897e11i | −0.699036 | − | 0.403589i | ||||
\(409\) | 1.34955e11 | + | 7.79161e10i | 0.238470 | + | 0.137681i | 0.614473 | − | 0.788938i | \(-0.289369\pi\) |
−0.376003 | + | 0.926618i | \(0.622702\pi\) | |||||||
\(410\) | 3.87180e10 | + | 2.23539e10i | 0.0676684 | + | 0.0390684i | ||||
\(411\) | 9.80739e11 | + | 5.66230e11i | 1.69537 | + | 0.978824i | ||||
\(412\) | 1.55065e11 | + | 2.68581e11i | 0.265141 | + | 0.459238i | ||||
\(413\) | 2.43569e11 | + | 1.18516e11i | 0.411952 | + | 0.200449i | ||||
\(414\) | 3.13338e11 | + | 1.80906e11i | 0.524217 | + | 0.302657i | ||||
\(415\) | 7.35269e9 | − | 1.27352e10i | 0.0121683 | − | 0.0210761i | ||||
\(416\) | 3.16880e11 | + | 4.44613e11i | 0.518770 | + | 0.727884i | ||||
\(417\) | −6.61275e11 | − | 1.14536e12i | −1.07095 | − | 1.85494i | ||||
\(418\) | 9.11802e10 | − | 5.26429e10i | 0.146086 | − | 0.0843425i | ||||
\(419\) | −4.04918e11 | + | 7.01338e11i | −0.641806 | + | 1.11164i | 0.343224 | + | 0.939254i | \(0.388481\pi\) |
−0.985029 | + | 0.172387i | \(0.944852\pi\) | |||||||
\(420\) | 2.63604e10 | − | 1.78160e10i | 0.0413361 | − | 0.0279375i | ||||
\(421\) | 4.08102e11i | 0.633140i | 0.948569 | + | 0.316570i | \(0.102531\pi\) | ||||
−0.948569 | + | 0.316570i | \(0.897469\pi\) | |||||||
\(422\) | − | 5.49533e11i | − | 0.843505i | ||||||
\(423\) | −4.70637e11 | − | 2.71723e11i | −0.714751 | − | 0.412662i | ||||
\(424\) | −2.88233e11 | + | 1.66411e11i | −0.433109 | + | 0.250056i | ||||
\(425\) | −6.68371e11 | −0.993727 | ||||||||
\(426\) | −6.47233e11 | + | 1.12104e12i | −0.952177 | + | 1.64922i | ||||
\(427\) | −2.47211e11 | + | 1.75175e10i | −0.359867 | + | 0.0255004i | ||||
\(428\) | −1.12065e11 | −0.161426 | ||||||||
\(429\) | −5.35615e10 | + | 1.17410e11i | −0.0763475 | + | 0.167358i | ||||
\(430\) | −6.76992e9 | − | 1.17258e10i | −0.00954939 | − | 0.0165400i | ||||
\(431\) | − | 7.17819e11i | − | 1.00200i | −0.865448 | − | 0.500999i | \(-0.832966\pi\) | ||
0.865448 | − | 0.500999i | \(-0.167034\pi\) | |||||||
\(432\) | −2.04234e11 | − | 3.53743e11i | −0.282131 | − | 0.488665i | ||||
\(433\) | −3.26978e11 | − | 5.66343e11i | −0.447016 | − | 0.774255i | 0.551174 | − | 0.834390i | \(-0.314180\pi\) |
−0.998190 | + | 0.0601353i | \(0.980847\pi\) | |||||||
\(434\) | 3.64252e10 | − | 7.48593e10i | 0.0492831 | − | 0.101284i | ||||
\(435\) | −1.00975e11 | + | 5.82978e10i | −0.135211 | + | 0.0780640i | ||||
\(436\) | 4.44310e11i | 0.588840i | ||||||||
\(437\) | −4.89046e11 | + | 2.82351e11i | −0.641481 | + | 0.370359i | ||||
\(438\) | −4.14742e11 | + | 7.18355e11i | −0.538449 | + | 0.932622i | ||||
\(439\) | −1.17874e11 | − | 2.04164e11i | −0.151471 | − | 0.262355i | 0.780298 | − | 0.625408i | \(-0.215068\pi\) |
−0.931768 | + | 0.363053i | \(0.881734\pi\) | |||||||
\(440\) | −4.92361e9 | − | 2.84265e9i | −0.00626248 | − | 0.00361565i | ||||
\(441\) | 5.09808e11 | − | 7.26154e10i | 0.641849 | − | 0.0914229i | ||||
\(442\) | 4.05777e11 | − | 8.89485e11i | 0.505694 | − | 1.10851i | ||||
\(443\) | 2.50062e11 | − | 4.33120e11i | 0.308483 | − | 0.534308i | −0.669548 | − | 0.742769i | \(-0.733512\pi\) |
0.978031 | + | 0.208461i | \(0.0668455\pi\) | |||||||
\(444\) | 8.07956e11i | 0.986653i | ||||||||
\(445\) | 1.23741e11 | 0.149587 | ||||||||
\(446\) | 1.52356e12 | 1.82328 | ||||||||
\(447\) | 1.49920e12i | 1.77614i | ||||||||
\(448\) | −1.36827e11 | + | 9.69569e9i | −0.160480 | + | 0.0113718i | ||||
\(449\) | 1.32277e12 | − | 7.63700e11i | 1.53594 | − | 0.886777i | 0.536872 | − | 0.843664i | \(-0.319606\pi\) |
0.999070 | − | 0.0431131i | \(-0.0137276\pi\) | |||||||
\(450\) | 5.91138e11 | + | 3.41294e11i | 0.679567 | + | 0.392348i | ||||
\(451\) | −5.02823e10 | + | 8.70914e10i | −0.0572296 | + | 0.0991245i | ||||
\(452\) | −5.48267e11 | −0.617830 | ||||||||
\(453\) | 4.50900e11 | − | 2.60327e11i | 0.503082 | − | 0.290454i | ||||
\(454\) | −7.83703e11 | −0.865766 | ||||||||
\(455\) | −4.67212e10 | − | 5.66148e10i | −0.0511050 | − | 0.0619268i | ||||
\(456\) | −7.20141e11 | −0.779966 | ||||||||
\(457\) | −6.99688e11 | + | 4.03965e11i | −0.750380 | + | 0.433232i | −0.825831 | − | 0.563917i | \(-0.809294\pi\) |
0.0754512 | + | 0.997149i | \(0.475960\pi\) | |||||||
\(458\) | 1.00161e12 | 1.06366 | ||||||||
\(459\) | −2.14715e11 | + | 3.71898e11i | −0.225791 | + | 0.391081i | ||||
\(460\) | −2.47695e10 | − | 1.43007e10i | −0.0257933 | − | 0.0148918i | ||||
\(461\) | −2.66233e11 | + | 1.53710e11i | −0.274541 | + | 0.158507i | −0.630950 | − | 0.775824i | \(-0.717335\pi\) |
0.356408 | + | 0.934330i | \(0.384001\pi\) | |||||||
\(462\) | 1.22875e11 | + | 1.81805e11i | 0.125480 | + | 0.185660i | ||||
\(463\) | 1.66768e12i | 1.68655i | 0.537482 | + | 0.843275i | \(0.319376\pi\) | ||||
−0.537482 | + | 0.843275i | \(0.680624\pi\) | |||||||
\(464\) | −1.88992e12 | −1.89284 | ||||||||
\(465\) | −9.60939e9 | −0.00953142 | ||||||||
\(466\) | 2.40437e12i | 2.36192i | ||||||||
\(467\) | −5.78374e11 | + | 1.00177e12i | −0.562707 | + | 0.974638i | 0.434552 | + | 0.900647i | \(0.356907\pi\) |
−0.997259 | + | 0.0739906i | \(0.976427\pi\) | |||||||
\(468\) | −2.65183e11 | + | 1.88999e11i | −0.255529 | + | 0.182118i | ||||
\(469\) | 2.20691e10 | + | 3.11443e11i | 0.0210624 | + | 0.297236i | ||||
\(470\) | 1.14073e11 | + | 6.58602e10i | 0.107831 | + | 0.0622562i | ||||
\(471\) | −8.99635e11 | − | 1.55821e12i | −0.842310 | − | 1.45892i | ||||
\(472\) | 1.55264e11 | − | 2.68925e11i | 0.143989 | − | 0.249397i | ||||
\(473\) | 2.63758e10 | − | 1.52281e10i | 0.0242287 | − | 0.0139885i | ||||
\(474\) | 2.64404e12i | 2.40584i | ||||||||
\(475\) | −9.22626e11 | + | 5.32679e11i | −0.831581 | + | 0.480114i | ||||
\(476\) | −3.03603e11 | − | 4.49209e11i | −0.271066 | − | 0.401067i | ||||
\(477\) | −2.91603e11 | − | 5.05072e11i | −0.257905 | − | 0.446705i | ||||
\(478\) | −3.35293e11 | − | 5.80745e11i | −0.293765 | − | 0.508815i | ||||
\(479\) | 5.19345e11i | 0.450761i | 0.974271 | + | 0.225381i | \(0.0723625\pi\) | ||||
−0.974271 | + | 0.225381i | \(0.927637\pi\) | |||||||
\(480\) | −5.35798e10 | − | 9.28029e10i | −0.0460697 | − | 0.0797950i | ||||
\(481\) | 1.85553e12 | − | 1.77943e11i | 1.58058 | − | 0.151575i | ||||
\(482\) | −2.39358e12 | −2.01993 | ||||||||
\(483\) | −6.59042e11 | − | 9.75115e11i | −0.551000 | − | 0.815255i | ||||
\(484\) | 2.86158e11 | − | 4.95640e11i | 0.237029 | − | 0.410546i | ||||
\(485\) | 3.76029e10 | 0.0308591 | ||||||||
\(486\) | 1.45981e12 | − | 8.42824e11i | 1.18696 | − | 0.685289i | ||||
\(487\) | 2.16708e10 | + | 1.25117e10i | 0.0174580 | + | 0.0100794i | 0.508704 | − | 0.860942i | \(-0.330125\pi\) |
−0.491246 | + | 0.871021i | \(0.663458\pi\) | |||||||
\(488\) | 2.84112e11i | 0.226778i | ||||||||
\(489\) | 3.07819e12i | 2.43447i | ||||||||
\(490\) | −1.23567e11 | + | 1.76005e10i | −0.0968326 | + | 0.0137925i | ||||
\(491\) | −1.60501e9 | + | 2.77995e9i | −0.00124626 | + | 0.00215859i | −0.866648 | − | 0.498920i | \(-0.833730\pi\) |
0.865402 | + | 0.501079i | \(0.167063\pi\) | |||||||
\(492\) | −5.58737e11 | + | 3.22587e11i | −0.429897 | + | 0.248201i | ||||
\(493\) | 9.93458e11 | + | 1.72072e12i | 0.757422 | + | 1.31189i | ||||
\(494\) | −1.48763e11 | − | 1.55125e12i | −0.112389 | − | 1.17195i | ||||
\(495\) | 4.98118e9 | − | 8.62767e9i | 0.00372914 | − | 0.00645907i | ||||
\(496\) | −1.34893e11 | − | 7.78803e10i | −0.100074 | − | 0.0577777i | ||||
\(497\) | 1.37219e12 | − | 9.27413e11i | 1.00882 | − | 0.681819i | ||||
\(498\) | 3.25336e11 | + | 5.63499e11i | 0.237029 | + | 0.410546i | ||||
\(499\) | −1.32611e12 | − | 7.65630e11i | −0.957474 | − | 0.552798i | −0.0620795 | − | 0.998071i | \(-0.519773\pi\) |
−0.895395 | + | 0.445273i | \(0.853107\pi\) | |||||||
\(500\) | −9.37626e10 | − | 5.41339e10i | −0.0670911 | − | 0.0387351i | ||||
\(501\) | 1.10776e12 | + | 6.39568e11i | 0.785557 | + | 0.453542i | ||||
\(502\) | 1.95883e12 | + | 1.13093e12i | 1.37667 | + | 0.794819i | ||||
\(503\) | −1.22188e12 | − | 2.11635e12i | −0.851082 | − | 1.47412i | −0.880233 | − | 0.474542i | \(-0.842614\pi\) |
0.0291511 | − | 0.999575i | \(-0.490720\pi\) | |||||||
\(504\) | −4.17274e10 | − | 5.88865e11i | −0.0288061 | − | 0.406517i | ||||
\(505\) | 1.99322e10 | + | 1.15079e10i | 0.0136378 | + | 0.00787378i | ||||
\(506\) | 9.86305e10 | − | 1.70833e11i | 0.0668858 | − | 0.115850i | ||||
\(507\) | 1.25203e12 | + | 1.44255e12i | 0.841546 | + | 0.969602i | ||||
\(508\) | 1.15915e11 | + | 2.00770e11i | 0.0772238 | + | 0.133756i | ||||
\(509\) | 1.00106e12 | − | 5.77965e11i | 0.661046 | − | 0.381655i | −0.131629 | − | 0.991299i | \(-0.542021\pi\) |
0.792676 | + | 0.609644i | \(0.208688\pi\) | |||||||
\(510\) | −9.59437e10 | + | 1.66179e11i | −0.0627987 | + | 0.108771i | ||||
\(511\) | 8.79291e11 | − | 5.94279e11i | 0.570478 | − | 0.385564i | ||||
\(512\) | − | 5.15432e11i | − | 0.331479i | ||||||
\(513\) | 6.84496e11i | 0.436358i | ||||||||
\(514\) | −6.07707e11 | − | 3.50860e11i | −0.384026 | − | 0.221717i | ||||
\(515\) | −1.21618e11 | + | 7.02162e10i | −0.0761843 | + | 0.0439850i | ||||
\(516\) | 1.95392e11 | 0.121334 | ||||||||
\(517\) | −1.48144e11 | + | 2.56593e11i | −0.0911963 | + | 0.157957i | ||||
\(518\) | 1.38681e12 | − | 2.85010e12i | 0.846317 | − | 1.73931i | ||||
\(519\) | 1.99641e12 | 1.20781 | ||||||||
\(520\) | −6.85266e10 | + | 4.88395e10i | −0.0411002 | + | 0.0292925i | ||||
\(521\) | −2.47498e10 | − | 4.28679e10i | −0.0147164 | − | 0.0254896i | 0.858573 | − | 0.512691i | \(-0.171351\pi\) |
−0.873290 | + | 0.487201i | \(0.838018\pi\) | |||||||
\(522\) | − | 2.02918e12i | − | 1.19620i | ||||||
\(523\) | −4.10683e11 | − | 7.11324e11i | −0.240021 | − | 0.415728i | 0.720699 | − | 0.693248i | \(-0.243821\pi\) |
−0.960720 | + | 0.277520i | \(0.910488\pi\) | |||||||
\(524\) | −3.77652e11 | − | 6.54113e11i | −0.218827 | − | 0.379020i | ||||
\(525\) | −1.24334e12 | − | 1.83963e12i | −0.714286 | − | 1.05685i | ||||
\(526\) | 1.99202e12 | − | 1.15009e12i | 1.13464 | − | 0.655083i | ||||
\(527\) | 1.63754e11i | 0.0924794i | ||||||||
\(528\) | 3.55553e11 | − | 2.05278e11i | 0.199091 | − | 0.114945i | ||||
\(529\) | 3.71570e11 | − | 6.43578e11i | 0.206296 | − | 0.357315i | ||||
\(530\) | 7.06789e10 | + | 1.22419e11i | 0.0389088 | + | 0.0673921i | ||||
\(531\) | 4.71238e11 | + | 2.72069e11i | 0.257226 | + | 0.148509i | ||||
\(532\) | −7.77108e11 | − | 3.78127e11i | −0.420609 | − | 0.204661i | ||||
\(533\) | 8.63900e11 | + | 1.21213e12i | 0.463651 | + | 0.650547i | ||||
\(534\) | −2.73761e12 | + | 4.74167e12i | −1.45692 | + | 2.52346i | ||||
\(535\) | − | 5.07450e10i | − | 0.0267794i | ||||||
\(536\) | 3.57933e11 | 0.187310 | ||||||||
\(537\) | −2.10524e12 | −1.09249 | ||||||||
\(538\) | 2.99484e12i | 1.54118i | ||||||||
\(539\) | −3.95902e10 | − | 2.77949e11i | −0.0202040 | − | 0.141846i | ||||
\(540\) | −3.00240e10 | + | 1.73344e10i | −0.0151949 | + | 0.00877276i | ||||
\(541\) | −1.18241e11 | − | 6.82666e10i | −0.0593446 | − | 0.0342626i | 0.470034 | − | 0.882648i | \(-0.344242\pi\) |
−0.529379 | + | 0.848386i | \(0.677575\pi\) | |||||||
\(542\) | 1.28432e12 | − | 2.22450e12i | 0.639257 | − | 1.10723i | ||||
\(543\) | −2.45447e12 | −1.21160 | ||||||||
\(544\) | −1.58146e12 | + | 9.13056e11i | −0.774218 | + | 0.446995i | ||||
\(545\) | −2.01191e11 | −0.0976843 | ||||||||
\(546\) | 3.20308e12 | − | 5.37798e11i | 1.54241 | − | 0.258972i | ||||
\(547\) | −3.81914e11 | −0.182399 | −0.0911996 | − | 0.995833i | \(-0.529070\pi\) | ||||
−0.0911996 | + | 0.995833i | \(0.529070\pi\) | |||||||
\(548\) | 1.34926e12 | − | 7.78995e11i | 0.639121 | − | 0.368997i | ||||
\(549\) | −4.97852e11 | −0.233897 | ||||||||
\(550\) | 1.86075e11 | − | 3.22291e11i | 0.0867071 | − | 0.150181i | ||||
\(551\) | 2.74276e12 | + | 1.58353e12i | 1.26767 | + | 0.731888i | ||||
\(552\) | −1.16848e12 | + | 6.74620e11i | −0.535666 | + | 0.309267i | ||||
\(553\) | 1.48015e12 | − | 3.04192e12i | 0.673041 | − | 1.38320i | ||||
\(554\) | − | 1.44079e12i | − | 0.649841i | ||||||
\(555\) | −3.65856e11 | −0.163679 | ||||||||
\(556\) | −1.81951e12 | −0.807453 | ||||||||
\(557\) | − | 4.59448e11i | − | 0.202250i | −0.994874 | − | 0.101125i | \(-0.967756\pi\) | ||
0.994874 | − | 0.101125i | \(-0.0322442\pi\) | |||||||
\(558\) | 8.36187e10 | − | 1.44832e11i | 0.0365132 | − | 0.0632427i | ||||
\(559\) | −4.30328e10 | − | 4.48733e11i | −0.0186400 | − | 0.194372i | ||||
\(560\) | 1.65064e10 | + | 2.32941e11i | 0.00709261 | + | 0.100092i | ||||
\(561\) | −3.73800e11 | − | 2.15813e11i | −0.159333 | − | 0.0919911i | ||||
\(562\) | 8.67581e11 | + | 1.50269e12i | 0.366857 | + | 0.635414i | ||||
\(563\) | −1.54264e11 | + | 2.67193e11i | −0.0647108 | + | 0.112082i | −0.896566 | − | 0.442911i | \(-0.853946\pi\) |
0.831855 | + | 0.554993i | \(0.187279\pi\) | |||||||
\(564\) | −1.64618e12 | + | 9.50423e11i | −0.685049 | + | 0.395513i | ||||
\(565\) | − | 2.48265e11i | − | 0.102494i | ||||||
\(566\) | 5.65555e10 | − | 3.26523e10i | 0.0231633 | − | 0.0133734i | ||||
\(567\) | −3.01463e12 | + | 2.13619e11i | −1.22493 | + | 0.0867992i | ||||
\(568\) | −9.49333e11 | − | 1.64429e12i | −0.382694 | − | 0.662845i | ||||
\(569\) | 7.38375e10 | + | 1.27890e11i | 0.0295306 | + | 0.0511484i | 0.880413 | − | 0.474208i | \(-0.157265\pi\) |
−0.850882 | + | 0.525356i | \(0.823932\pi\) | |||||||
\(570\) | 3.05861e11i | 0.121363i | ||||||||
\(571\) | 2.14839e12 | + | 3.72112e12i | 0.845768 | + | 1.46491i | 0.884953 | + | 0.465681i | \(0.154190\pi\) |
−0.0391852 | + | 0.999232i | \(0.512476\pi\) | |||||||
\(572\) | 1.03043e11 | + | 1.44579e11i | 0.0402472 | + | 0.0564707i | ||||
\(573\) | 2.71632e12 | 1.05265 | ||||||||
\(574\) | 2.52467e12 | − | 1.78900e11i | 0.970736 | − | 0.0687870i | ||||
\(575\) | −9.98014e11 | + | 1.72861e12i | −0.380742 | + | 0.659465i | ||||
\(576\) | −2.75553e11 | −0.104305 | ||||||||
\(577\) | −4.28969e12 | + | 2.47665e12i | −1.61115 | + | 0.930196i | −0.622041 | + | 0.782985i | \(0.713696\pi\) |
−0.989105 | + | 0.147211i | \(0.952970\pi\) | |||||||
\(578\) | 9.92383e8 | + | 5.72953e8i | 0.000369832 | + | 0.000213522i | ||||
\(579\) | 1.40499e12i | 0.519540i | ||||||||
\(580\) | 1.60407e11i | 0.0588570i | ||||||||
\(581\) | −5.88442e10 | − | 8.30420e11i | −0.0214245 | − | 0.302347i | ||||
\(582\) | −8.31912e11 | + | 1.44091e12i | −0.300555 | + | 0.520577i | ||||
\(583\) | −2.75367e11 | + | 1.58983e11i | −0.0987197 | + | 0.0569958i | ||||
\(584\) | −6.08326e11 | − | 1.05365e12i | −0.216411 | − | 0.374834i | ||||
\(585\) | −8.55818e10 | − | 1.20079e11i | −0.0302120 | − | 0.0423904i | ||||
\(586\) | −7.53010e11 | + | 1.30425e12i | −0.263792 | + | 0.456901i | ||||
\(587\) | −3.30319e12 | − | 1.90710e12i | −1.14832 | − | 0.662982i | −0.199841 | − | 0.979828i | \(-0.564043\pi\) |
−0.948477 | + | 0.316846i | \(0.897376\pi\) | |||||||
\(588\) | 6.71632e11 | − | 1.67128e12i | 0.231704 | − | 0.576570i | ||||
\(589\) | 1.30509e11 | + | 2.26048e11i | 0.0446809 | + | 0.0773896i | ||||
\(590\) | −1.14219e11 | − | 6.59442e10i | −0.0388064 | − | 0.0224049i | ||||
\(591\) | 1.69396e12 | + | 9.78006e11i | 0.571161 | + | 0.329760i | ||||
\(592\) | −5.13574e12 | − | 2.96512e12i | −1.71852 | − | 0.992189i | ||||
\(593\) | 3.12009e12 | + | 1.80138e12i | 1.03614 | + | 0.598218i | 0.918739 | − | 0.394866i | \(-0.129209\pi\) |
0.117406 | + | 0.993084i | \(0.462542\pi\) | |||||||
\(594\) | −1.19554e11 | − | 2.07073e11i | −0.0394025 | − | 0.0682471i | ||||
\(595\) | 2.03409e11 | − | 1.37477e11i | 0.0665342 | − | 0.0449679i | ||||
\(596\) | 1.78621e12 | + | 1.03127e12i | 0.579862 | + | 0.334784i | ||||
\(597\) | 1.13181e12 | − | 1.96035e12i | 0.364661 | − | 0.631612i | ||||
\(598\) | −1.69457e12 | − | 2.37765e12i | −0.541882 | − | 0.760312i | ||||
\(599\) | 1.58550e12 | + | 2.74617e12i | 0.503206 | + | 0.871579i | 0.999993 | + | 0.00370646i | \(0.00117981\pi\) |
−0.496787 | + | 0.867873i | \(0.665487\pi\) | |||||||
\(600\) | −2.20443e12 | + | 1.27273e12i | −0.694408 | + | 0.400917i | ||||
\(601\) | 1.64733e12 | − | 2.85326e12i | 0.515045 | − | 0.892084i | −0.484803 | − | 0.874624i | \(-0.661109\pi\) |
0.999848 | − | 0.0174602i | \(-0.00555805\pi\) | |||||||
\(602\) | −6.89254e11 | − | 3.35379e11i | −0.213892 | − | 0.104076i | ||||
\(603\) | 6.27208e11i | 0.193189i | ||||||||
\(604\) | − | 7.16295e11i | − | 0.218991i | ||||||
\(605\) | 2.24434e11 | + | 1.29577e11i | 0.0681066 | + | 0.0393214i | ||||
\(606\) | −8.81946e11 | + | 5.09191e11i | −0.265653 | + | 0.153375i | ||||
\(607\) | 5.68934e12 | 1.70103 | 0.850516 | − | 0.525949i | \(-0.176290\pi\) | ||||
0.850516 | + | 0.525949i | \(0.176290\pi\) | |||||||
\(608\) | −1.45538e12 | + | 2.52079e12i | −0.431926 | + | 0.748118i | ||||
\(609\) | −2.88805e12 | + | 5.93538e12i | −0.850800 | + | 1.74852i | ||||
\(610\) | 1.20669e11 | 0.0352868 | ||||||||
\(611\) | 2.54527e12 | + | 3.57126e12i | 0.738836 | + | 1.03666i | ||||
\(612\) | −5.44580e11 | − | 9.43240e11i | −0.156921 | − | 0.271795i | ||||
\(613\) | − | 1.89118e12i | − | 0.540953i | −0.962727 | − | 0.270477i | \(-0.912819\pi\) | ||
0.962727 | − | 0.270477i | \(-0.0871813\pi\) | |||||||
\(614\) | −1.50008e12 | − | 2.59822e12i | −0.425949 | − | 0.737765i | ||||
\(615\) | −1.46073e11 | − | 2.53005e11i | −0.0411748 | − | 0.0713168i | ||||
\(616\) | −3.21051e11 | + | 2.27499e10i | −0.0898383 | + | 0.00636601i | ||||
\(617\) | −3.25286e12 | + | 1.87804e12i | −0.903612 | + | 0.521700i | −0.878370 | − | 0.477981i | \(-0.841369\pi\) |
−0.0252414 | + | 0.999681i | \(0.508035\pi\) | |||||||
\(618\) | − | 6.21375e12i | − | 1.71359i | ||||||
\(619\) | 2.98606e10 | − | 1.72400e10i | 0.00817505 | − | 0.00471987i | −0.495907 | − | 0.868376i | \(-0.665164\pi\) |
0.504082 | + | 0.863656i | \(0.331831\pi\) | |||||||
\(620\) | −6.61010e9 | + | 1.14490e10i | −0.00179657 | + | 0.00311176i | ||||
\(621\) | 6.41228e11 | + | 1.11064e12i | 0.173021 | + | 0.299682i | ||||
\(622\) | 4.52863e12 | + | 2.61460e12i | 1.21314 | + | 0.700405i | ||||
\(623\) | 5.80398e12 | − | 3.92268e12i | 1.54358 | − | 1.04325i | ||||
\(624\) | −5.80093e11 | − | 6.04903e12i | −0.153168 | − | 1.59718i | ||||
\(625\) | −1.87054e12 | + | 3.23987e12i | −0.490351 | + | 0.849313i | ||||
\(626\) | − | 6.27221e12i | − | 1.63244i | ||||||
\(627\) | −6.87997e11 | −0.177780 | ||||||||
\(628\) | −2.47536e12 | −0.635067 | ||||||||
\(629\) | 6.23458e12i | 1.58811i | ||||||||
\(630\) | −2.50105e11 | + | 1.77226e10i | −0.0632543 | + | 0.00448224i | ||||
\(631\) | 6.46324e12 | − | 3.73156e12i | 1.62300 | − | 0.937039i | 0.636888 | − | 0.770957i | \(-0.280222\pi\) |
0.986112 | − | 0.166082i | \(-0.0531118\pi\) | |||||||
\(632\) | −3.35859e12 | − | 1.93908e12i | −0.837394 | − | 0.483470i | ||||
\(633\) | −1.79548e12 | + | 3.10986e12i | −0.444491 | + | 0.769882i | ||||
\(634\) | −5.93062e12 | −1.45780 | ||||||||
\(635\) | −9.09120e10 | + | 5.24881e10i | −0.0221891 | + | 0.0128109i | ||||
\(636\) | −2.03992e12 | −0.494375 | ||||||||
\(637\) | −3.98615e12 | − | 1.17437e12i | −0.959237 | − | 0.282604i | ||||
\(638\) | −1.10632e12 | −0.264354 | ||||||||
\(639\) | 2.88130e12 | − | 1.66352e12i | 0.683652 | − | 0.394707i | ||||
\(640\) | 3.71391e11 | 0.0875027 | ||||||||
\(641\) | 7.21213e11 | − | 1.24918e12i | 0.168734 | − | 0.292256i | −0.769241 | − | 0.638959i | \(-0.779365\pi\) |
0.937975 | + | 0.346703i | \(0.112699\pi\) | |||||||
\(642\) | 1.94451e12 | + | 1.12266e12i | 0.451755 | + | 0.260821i | ||||
\(643\) | 4.79064e12 | − | 2.76588e12i | 1.10521 | − | 0.638092i | 0.167624 | − | 0.985851i | \(-0.446390\pi\) |
0.937584 | + | 0.347759i | \(0.113057\pi\) | |||||||
\(644\) | −1.61513e12 | + | 1.14449e11i | −0.370017 | + | 0.0262197i | ||||
\(645\) | 8.84769e10i | 0.0201285i | ||||||||
\(646\) | 5.21220e12 | 1.17754 | ||||||||
\(647\) | 1.93927e11 | 0.0435081 | 0.0217540 | − | 0.999763i | \(-0.493075\pi\) | ||||
0.0217540 | + | 0.999763i | \(0.493075\pi\) | |||||||
\(648\) | 3.46463e12i | 0.771915i | ||||||||
\(649\) | 1.48333e11 | − | 2.56921e11i | 0.0328199 | − | 0.0568457i | ||||
\(650\) | −3.19695e12 | − | 4.48563e12i | −0.702466 | − | 0.985628i | ||||
\(651\) | −4.50720e11 | + | 3.04624e11i | −0.0983541 | + | 0.0664737i | ||||
\(652\) | 3.66748e12 | + | 2.11742e12i | 0.794792 | + | 0.458873i | ||||
\(653\) | −1.24614e12 | − | 2.15837e12i | −0.268198 | − | 0.464533i | 0.700198 | − | 0.713948i | \(-0.253095\pi\) |
−0.968397 | + | 0.249415i | \(0.919762\pi\) | |||||||
\(654\) | 4.45108e12 | − | 7.70950e12i | 0.951405 | − | 1.64788i | ||||
\(655\) | 2.96193e11 | − | 1.71007e11i | 0.0628767 | − | 0.0363019i | ||||
\(656\) | − | 4.73545e12i | − | 0.998375i | ||||||
\(657\) | 1.84632e12 | − | 1.06597e12i | 0.386600 | − | 0.223204i | ||||
\(658\) | 7.43831e12 | − | 5.27084e11i | 1.54688 | − | 0.109613i | ||||
\(659\) | −1.11732e12 | − | 1.93525e12i | −0.230777 | − | 0.399718i | 0.727260 | − | 0.686362i | \(-0.240794\pi\) |
−0.958037 | + | 0.286644i | \(0.907460\pi\) | |||||||
\(660\) | −1.74230e10 | − | 3.01776e10i | −0.00357417 | − | 0.00619065i | ||||
\(661\) | − | 2.02720e11i | − | 0.0413038i | −0.999787 | − | 0.0206519i | \(-0.993426\pi\) | ||
0.999787 | − | 0.0206519i | \(-0.00657417\pi\) | |||||||
\(662\) | −2.35240e12 | − | 4.07448e12i | −0.476048 | − | 0.824539i | ||||
\(663\) | −5.20253e12 | + | 3.70789e12i | −1.04569 | + | 0.745274i | ||||
\(664\) | −9.54378e11 | −0.190530 | ||||||||
\(665\) | 1.71222e11 | − | 3.51888e11i | 0.0339518 | − | 0.0697761i | ||||
\(666\) | 3.18360e12 | − | 5.51415e12i | 0.627024 | − | 1.08604i | ||||
\(667\) | 5.93374e12 | 1.16081 | ||||||||
\(668\) | 1.52402e12 | − | 8.79891e11i | 0.296139 | − | 0.170976i | ||||
\(669\) | −8.62197e12 | − | 4.97790e12i | −1.66414 | − | 0.960790i | ||||
\(670\) | − | 1.52023e11i | − | 0.0291455i | ||||||
\(671\) | 2.71431e11i | 0.0516901i | ||||||||
\(672\) | −5.45503e12 | − | 2.65432e12i | −1.03189 | − | 0.502102i | ||||
\(673\) | −1.30813e12 | + | 2.26574e12i | −0.245800 | + | 0.425738i | −0.962356 | − | 0.271791i | \(-0.912384\pi\) |
0.716556 | + | 0.697529i | \(0.245717\pi\) | |||||||
\(674\) | −4.28551e12 | + | 2.47424e12i | −0.799895 | + | 0.461819i | ||||
\(675\) | 1.20973e12 | + | 2.09531e12i | 0.224296 | + | 0.388492i | ||||
\(676\) | 2.57995e12 | − | 4.99420e11i | 0.475172 | − | 0.0919825i | ||||
\(677\) | −3.69464e12 | + | 6.39930e12i | −0.675963 | + | 1.17080i | 0.300224 | + | 0.953869i | \(0.402939\pi\) |
−0.976186 | + | 0.216933i | \(0.930395\pi\) | |||||||
\(678\) | 9.51331e12 | + | 5.49251e12i | 1.72901 | + | 0.998246i | ||||
\(679\) | 1.76373e12 | − | 1.19204e12i | 0.318433 | − | 0.215217i | ||||
\(680\) | −1.40726e11 | − | 2.43745e11i | −0.0252397 | − | 0.0437165i | ||||
\(681\) | 4.43505e12 | + | 2.56058e12i | 0.790200 | + | 0.456222i | ||||
\(682\) | −7.89629e10 | − | 4.55892e10i | −0.0139763 | − | 0.00806924i | ||||
\(683\) | −4.24353e12 | − | 2.45000e12i | −0.746163 | − | 0.430798i | 0.0781426 | − | 0.996942i | \(-0.475101\pi\) |
−0.824306 | + | 0.566145i | \(0.808434\pi\) | |||||||
\(684\) | −1.50349e12 | − | 8.68039e11i | −0.262632 | − | 0.151631i | ||||
\(685\) | 3.52742e11 | + | 6.10967e11i | 0.0612139 | + | 0.106026i | ||||
\(686\) | −5.23787e12 | + | 4.74271e12i | −0.903018 | + | 0.817651i | ||||
\(687\) | −5.66820e12 | − | 3.27254e12i | −0.970823 | − | 0.560505i | ||||
\(688\) | −7.17070e11 | + | 1.24200e12i | −0.122015 | + | 0.211336i | ||||
\(689\) | 4.49268e11 | + | 4.68483e12i | 0.0759485 | + | 0.791968i | ||||
\(690\) | 2.86527e11 | + | 4.96279e11i | 0.0481221 | + | 0.0833500i | ||||
\(691\) | 5.12641e12 | − | 2.95974e12i | 0.855386 | − | 0.493857i | −0.00707832 | − | 0.999975i | \(-0.502253\pi\) |
0.862465 | + | 0.506117i | \(0.168920\pi\) | |||||||
\(692\) | 1.37329e12 | − | 2.37861e12i | 0.227659 | − | 0.394317i | ||||
\(693\) | −3.98648e10 | − | 5.62580e11i | −0.00656584 | − | 0.0926584i | ||||
\(694\) | − | 7.65756e12i | − | 1.25306i | ||||||
\(695\) | − | 8.23904e11i | − | 0.133951i | ||||||
\(696\) | 6.55326e12 | + | 3.78353e12i | 1.05856 | + | 0.611160i | ||||
\(697\) | −4.31148e12 | + | 2.48924e12i | −0.691957 | + | 0.399502i | ||||
\(698\) | 4.16253e12 | 0.663755 | ||||||||
\(699\) | 7.85577e12 | − | 1.36066e13i | 1.24463 | − | 2.15577i | ||||
\(700\) | −3.04708e12 | + | 2.15918e11i | −0.479670 | + | 0.0339898i | ||||
\(701\) | −5.59634e12 | −0.875332 | −0.437666 | − | 0.899138i | \(-0.644195\pi\) | ||||
−0.437666 | + | 0.899138i | \(0.644195\pi\) | |||||||
\(702\) | −3.52294e12 | + | 3.37844e11i | −0.547505 | + | 0.0525049i | ||||
\(703\) | 4.96884e12 | + | 8.60629e12i | 0.767284 | + | 1.32898i | ||||
\(704\) | 1.50233e11i | 0.0230509i | ||||||||
\(705\) | −4.30367e11 | − | 7.45418e11i | −0.0656128 | − | 0.113645i | ||||
\(706\) | 1.90897e12 | + | 3.30642e12i | 0.289186 | + | 0.500884i | ||||
\(707\) | 1.29971e12 | − | 9.20984e10i | 0.195641 | − | 0.0138632i | ||||
\(708\) | 1.64828e12 | − | 9.51635e11i | 0.246537 | − | 0.142338i | ||||
\(709\) | − | 1.05831e13i | − | 1.57291i | −0.617646 | − | 0.786456i | \(-0.711913\pi\) | ||
0.617646 | − | 0.786456i | \(-0.288087\pi\) | |||||||
\(710\) | −6.98371e11 | + | 4.03205e11i | −0.103139 | + | 0.0595474i | ||||
\(711\) | 3.39786e12 | − | 5.88527e12i | 0.498647 | − | 0.863681i | ||||
\(712\) | −4.01540e12 | − | 6.95488e12i | −0.585557 | − | 1.01421i | ||||
\(713\) | 4.23519e11 | + | 2.44519e11i | 0.0613719 | + | 0.0354331i | ||||
\(714\) | 7.67845e11 | + | 1.08360e13i | 0.110569 | + | 1.56037i | ||||
\(715\) | −6.54678e10 | + | 4.66595e10i | −0.00936808 | + | 0.00667672i | ||||
\(716\) | −1.44815e12 | + | 2.50827e12i | −0.205923 | + | 0.356669i | ||||
\(717\) | 4.38199e12i | 0.619206i | ||||||||
\(718\) | −4.33831e12 | −0.609201 | ||||||||
\(719\) | 4.41211e12 | 0.615696 | 0.307848 | − | 0.951436i | \(-0.400391\pi\) | ||||
0.307848 | + | 0.951436i | \(0.400391\pi\) | |||||||
\(720\) | 4.69114e11i | 0.0650553i | ||||||||
\(721\) | −3.47849e12 | + | 7.14881e12i | −0.479382 | + | 0.985201i | ||||
\(722\) | −5.08092e11 | + | 2.93347e11i | −0.0695865 | + | 0.0401758i | ||||
\(723\) | 1.35455e13 | + | 7.82049e12i | 1.84362 | + | 1.06442i | ||||
\(724\) | −1.68838e12 | + | 2.92436e12i | −0.228374 | + | 0.395555i | ||||
\(725\) | 1.11945e13 | 1.50482 | ||||||||
\(726\) | −9.93059e12 | + | 5.73343e12i | −1.32666 | + | 0.765949i | ||||
\(727\) | −3.24655e12 | −0.431040 | −0.215520 | − | 0.976499i | \(-0.569145\pi\) | ||||
−0.215520 | + | 0.976499i | \(0.569145\pi\) | |||||||
\(728\) | −1.66593e12 | + | 4.46312e12i | −0.219819 | + | 0.588907i | ||||
\(729\) | −1.65075e12 | −0.216475 | ||||||||
\(730\) | −4.47511e11 | + | 2.58370e11i | −0.0583244 | + | 0.0336736i | ||||
\(731\) | 1.50774e12 | 0.195298 | ||||||||
\(732\) | −8.70684e11 | + | 1.50807e12i | −0.112088 | + | 0.194143i | ||||
\(733\) | −1.36014e12 | − | 7.85278e11i | −0.174027 | − | 0.100474i | 0.410456 | − | 0.911880i | \(-0.365369\pi\) |
−0.584483 | + | 0.811406i | \(0.698703\pi\) | |||||||
\(734\) | −4.23196e12 | + | 2.44333e12i | −0.538158 | + | 0.310706i | ||||
\(735\) | 7.56786e11 | + | 3.04126e11i | 0.0956489 | + | 0.0384380i | ||||
\(736\) | 5.45352e12i | 0.685057i | ||||||||
\(737\) | 3.41956e11 | 0.0426940 | ||||||||
\(738\) | 5.08437e12 | 0.630933 | ||||||||
\(739\) | 1.00804e13i | 1.24331i | 0.783293 | + | 0.621653i | \(0.213538\pi\) | ||||
−0.783293 | + | 0.621653i | \(0.786462\pi\) | |||||||
\(740\) | −2.51665e11 | + | 4.35896e11i | −0.0308517 | + | 0.0534368i | ||||
\(741\) | −4.22651e12 | + | 9.26473e12i | −0.514992 | + | 1.12889i | ||||
\(742\) | 7.19591e12 | + | 3.50141e12i | 0.871501 | + | 0.424058i | ||||
\(743\) | 3.90160e11 | + | 2.25259e11i | 0.0469671 | + | 0.0271165i | 0.523300 | − | 0.852149i | \(-0.324701\pi\) |
−0.476333 | + | 0.879265i | \(0.658034\pi\) | |||||||
\(744\) | 3.11825e11 | + | 5.40096e11i | 0.0373106 | + | 0.0646238i | ||||
\(745\) | −4.66977e11 | + | 8.08827e11i | −0.0555382 | + | 0.0961950i | ||||
\(746\) | −4.97402e12 | + | 2.87175e12i | −0.588007 | + | 0.339486i | ||||
\(747\) | − | 1.67236e12i | − | 0.196511i | ||||||
\(748\) | −5.14258e11 | + | 2.96907e11i | −0.0600653 | + | 0.0346787i | ||||
\(749\) | −1.60865e12 | − | 2.38015e12i | −0.186764 | − | 0.276335i | ||||
\(750\) | 1.08462e12 | + | 1.87862e12i | 0.125171 | + | 0.216802i | ||||
\(751\) | 4.33485e11 | + | 7.50818e11i | 0.0497272 | + | 0.0861301i | 0.889818 | − | 0.456316i | \(-0.150831\pi\) |
−0.840090 | + | 0.542446i | \(0.817498\pi\) | |||||||
\(752\) | − | 1.39518e13i | − | 1.59093i | ||||||
\(753\) | −7.39012e12 | − | 1.28001e13i | −0.837673 | − | 1.45089i | ||||
\(754\) | −6.79633e12 | + | 1.48979e13i | −0.765779 | + | 1.67863i | ||||
\(755\) | 3.24350e11 | 0.0363290 | ||||||||
\(756\) | −8.58738e11 | + | 1.76484e12i | −0.0956121 | + | 0.196497i | ||||
\(757\) | −9.20406e11 | + | 1.59419e12i | −0.101870 | + | 0.176445i | −0.912455 | − | 0.409176i | \(-0.865816\pi\) |
0.810585 | + | 0.585621i | \(0.199149\pi\) | |||||||
\(758\) | 1.77684e13 | 1.95496 | ||||||||
\(759\) | −1.11632e12 | + | 6.44507e11i | −0.122096 | + | 0.0704920i | ||||
\(760\) | −3.88519e11 | − | 2.24312e11i | −0.0422427 | − | 0.0243888i | ||||
\(761\) | − | 3.70938e12i | − | 0.400932i | −0.979701 | − | 0.200466i | \(-0.935754\pi\) | ||
0.979701 | − | 0.200466i | \(-0.0642456\pi\) | |||||||
\(762\) | − | 4.64491e12i | − | 0.499091i | ||||||
\(763\) | −9.43669e12 | + | 6.37790e12i | −1.00800 | + | 0.681267i | ||||
\(764\) | 1.86850e12 | − | 3.23634e12i | 0.198414 | − | 0.343664i | ||||
\(765\) | 4.27115e11 | − | 2.46595e11i | 0.0450888 | − | 0.0260320i | ||||
\(766\) | 3.85009e12 | + | 6.66855e12i | 0.404056 | + | 0.699845i | ||||
\(767\) | −2.54851e12 | − | 3.57581e12i | −0.265894 | − | 0.373074i | ||||
\(768\) | −7.22082e12 | + | 1.25068e13i | −0.748964 | + | 1.29724i | ||||
\(769\) | −1.22728e13 | − | 7.08572e12i | −1.26554 | − | 0.730660i | −0.291399 | − | 0.956602i | \(-0.594121\pi\) |
−0.974141 | + | 0.225942i | \(0.927454\pi\) | |||||||
\(770\) | 9.66244e9 | + | 1.36358e11i | 0.000990555 | + | 0.0139789i | ||||
\(771\) | 2.29272e12 | + | 3.97110e12i | 0.233671 | + | 0.404731i | ||||
\(772\) | 1.67396e12 | + | 9.66462e11i | 0.169616 | + | 0.0979280i | ||||
\(773\) | 4.76580e10 | + | 2.75153e10i | 0.00480096 | + | 0.00277183i | 0.502399 | − | 0.864636i | \(-0.332451\pi\) |
−0.497598 | + | 0.867408i | \(0.665784\pi\) | |||||||
\(774\) | −1.33352e12 | − | 7.69906e11i | −0.133556 | − | 0.0771087i | ||||
\(775\) | 7.99003e11 | + | 4.61305e11i | 0.0795593 | + | 0.0459336i | ||||
\(776\) | −1.22021e12 | − | 2.11347e12i | −0.120797 | − | 0.209227i | ||||
\(777\) | −1.71602e13 | + | 1.15979e13i | −1.68899 | + | 1.14152i | ||||
\(778\) | 1.12685e12 | + | 6.50588e11i | 0.110270 | + | 0.0636646i | ||||
\(779\) | −3.96775e12 | + | 6.87234e12i | −0.386034 | + | 0.668630i | ||||
\(780\) | −5.13412e11 | + | 4.92354e10i | −0.0496638 | + | 0.00476269i | ||||
\(781\) | −9.06958e11 | − | 1.57090e12i | −0.0872284 | − | 0.151084i | ||||
\(782\) | 8.45713e12 | − | 4.88273e12i | 0.808710 | − | 0.466909i | ||||
\(783\) | 3.59625e12 | − | 6.22889e12i | 0.341918 | − | 0.592219i | ||||
\(784\) | 8.15861e12 | + | 1.04026e13i | 0.771248 | + | 0.983380i | ||||
\(785\) | − | 1.12088e12i | − | 0.105353i | ||||||
\(786\) | 1.51332e13i | 1.41426i | ||||||||
\(787\) | 3.47084e12 | + | 2.00389e12i | 0.322514 | + | 0.186203i | 0.652512 | − | 0.757778i | \(-0.273715\pi\) |
−0.329999 | + | 0.943981i | \(0.607048\pi\) | |||||||
\(788\) | 2.33047e12 | − | 1.34550e12i | 0.215316 | − | 0.124313i | ||||
\(789\) | −1.50307e13 | −1.38081 | ||||||||
\(790\) | −8.23575e11 | + | 1.42647e12i | −0.0752283 | + | 0.130299i | ||||
\(791\) | −7.87016e12 | − | 1.16446e13i | −0.714808 | − | 1.05762i | ||||
\(792\) | −6.46557e11 | −0.0583907 | ||||||||
\(793\) | 3.65515e12 | + | 1.66746e12i | 0.328228 | + | 0.149736i | ||||
\(794\) | −5.46120e12 | − | 9.45907e12i | −0.487636 | − | 0.844610i | ||||
\(795\) | − | 9.23711e11i | − | 0.0820133i | ||||||
\(796\) | −1.55710e12 | − | 2.69697e12i | −0.137470 | − | 0.238105i | ||||
\(797\) | −1.90260e12 | − | 3.29540e12i | −0.167026 | − | 0.289298i | 0.770347 | − | 0.637625i | \(-0.220083\pi\) |
−0.937373 | + | 0.348327i | \(0.886750\pi\) | |||||||
\(798\) | 9.69601e12 | + | 1.43461e13i | 0.846408 | + | 1.25234i | ||||
\(799\) | −1.27027e13 | + | 7.33392e12i | −1.10265 | + | 0.636613i | ||||
\(800\) | 1.02885e13i | 0.888071i | ||||||||
\(801\) | 1.21871e13 | − | 7.03621e12i | 1.04605 | − | 0.603938i | ||||
\(802\) | −1.15272e13 | + | 1.99657e13i | −0.983872 | + | 1.70412i | ||||
\(803\) | −5.81172e11 | − | 1.00662e12i | −0.0493270 | − | 0.0854369i | ||||
\(804\) | 1.89991e12 | + | 1.09691e12i | 0.160354 | + | 0.0925806i | ||||
\(805\) | −5.18247e10 | − | 7.31359e11i | −0.00434966 | − | 0.0613832i | ||||
\(806\) | −1.09900e12 | + | 7.83269e11i | −0.0917257 | + | 0.0653737i | ||||
\(807\) | 9.78500e12 | − | 1.69481e13i | 0.812138 | − | 1.40666i | ||||
\(808\) | − | 1.49372e12i | − | 0.123287i | ||||||
\(809\) | −8.63807e12 | −0.709003 | −0.354502 | − | 0.935055i | \(-0.615350\pi\) | ||||
−0.354502 | + | 0.935055i | \(0.615350\pi\) | |||||||
\(810\) | 1.47151e12 | 0.120110 | ||||||||
\(811\) | − | 1.21629e13i | − | 0.987288i | −0.869664 | − | 0.493644i | \(-0.835665\pi\) | ||
0.869664 | − | 0.493644i | \(-0.164335\pi\) | |||||||
\(812\) | 5.08502e12 | + | 7.52377e12i | 0.410479 | + | 0.607342i | ||||
\(813\) | −1.45362e13 | + | 8.39245e12i | −1.16692 | + | 0.673723i | ||||
\(814\) | −3.00634e12 | − | 1.73571e12i | −0.240009 | − | 0.138569i | ||||
\(815\) | −9.58804e11 | + | 1.66070e12i | −0.0761238 | + | 0.131850i | ||||
\(816\) | 2.03247e13 | 1.60479 | ||||||||
\(817\) | 2.08130e12 | − | 1.20164e12i | 0.163432 | − | 0.0943573i | ||||
\(818\) | −4.29545e12 | −0.335443 | ||||||||
\(819\) | −7.82074e12 | − | 2.91922e12i | −0.607394 | − | 0.226720i | ||||
\(820\) | −4.01921e11 | −0.0310441 | ||||||||
\(821\) | 1.62400e12 | − | 9.37615e11i | 0.124750 | − | 0.0720245i | −0.436326 | − | 0.899788i | \(-0.643721\pi\) |
0.561077 | + | 0.827764i | \(0.310387\pi\) | |||||||
\(822\) | −3.12158e13 | −2.38479 | ||||||||
\(823\) | 5.25147e12 | − | 9.09582e12i | 0.399008 | − | 0.691103i | −0.594596 | − | 0.804025i | \(-0.702688\pi\) |
0.993604 | + | 0.112922i | \(0.0360211\pi\) | |||||||
\(824\) | 7.89301e12 | + | 4.55703e12i | 0.596444 | + | 0.344357i | ||||
\(825\) | −2.10603e12 | + | 1.21592e12i | −0.158278 | + | 0.0913820i | ||||
\(826\) | −7.44780e12 | + | 5.27757e11i | −0.556696 | + | 0.0394479i | ||||
\(827\) | − | 1.05828e13i | − | 0.786730i | −0.919382 | − | 0.393365i | \(-0.871311\pi\) | ||
0.919382 | − | 0.393365i | \(-0.128689\pi\) | |||||||
\(828\) | −3.25267e12 | −0.240494 | ||||||||
\(829\) | −7.66841e12 | −0.563910 | −0.281955 | − | 0.959428i | \(-0.590983\pi\) | ||||
−0.281955 | + | 0.959428i | \(0.590983\pi\) | |||||||
\(830\) | 4.05347e11i | 0.0296467i | ||||||||
\(831\) | −4.70747e12 | + | 8.15358e12i | −0.342439 | + | 0.593121i | ||||
\(832\) | 2.02307e12 | + | 9.22912e11i | 0.146371 | + | 0.0667736i | ||||
\(833\) | 5.18264e12 | − | 1.28964e13i | 0.372948 | − | 0.928041i | ||||
\(834\) | 3.15714e13 | + | 1.82277e13i | 2.25968 | + | 1.30463i | ||||
\(835\) | 3.98429e11 | + | 6.90100e11i | 0.0283637 | + | 0.0491273i | ||||
\(836\) | −4.73258e11 | + | 8.19707e11i | −0.0335097 | + | 0.0580404i | ||||
\(837\) | 5.13362e11 | − | 2.96390e11i | 0.0361543 | − | 0.0208737i | ||||
\(838\) | − | 2.23227e13i | − | 1.56369i | ||||||
\(839\) | 3.62059e12 | − | 2.09035e12i | 0.252261 | − | 0.145643i | −0.368538 | − | 0.929613i | \(-0.620142\pi\) |
0.620799 | + | 0.783970i | \(0.286808\pi\) | |||||||
\(840\) | 4.09101e11 | − | 8.40763e11i | 0.0283513 | − | 0.0582662i | ||||
\(841\) | −9.38577e12 | − | 1.62566e13i | −0.646976 | − | 1.12059i | ||||
\(842\) | −5.62458e12 | − | 9.74205e12i | −0.385643 | − | 0.667953i | ||||
\(843\) | − | 1.13385e13i | − | 0.773272i | ||||||
\(844\) | 2.47014e12 | + | 4.27841e12i | 0.167564 | + | 0.290230i | ||||
\(845\) | 2.26146e11 | + | 1.16824e12i | 0.0152592 | + | 0.0788277i | ||||
\(846\) | 1.49798e13 | 1.00540 | ||||||||
\(847\) | 1.46346e13 | − | 1.03702e12i | 0.977022 | − | 0.0692325i | ||||
\(848\) | 7.48631e12 | − | 1.29667e13i | 0.497149 | − | 0.861087i | ||||
\(849\) | −4.26737e11 | −0.0281888 | ||||||||
\(850\) | 1.59551e13 | − | 9.21167e12i | 1.04837 | − | 0.605276i | ||||
\(851\) | 1.61245e13 | + | 9.30950e12i | 1.05391 | + | 0.608476i | ||||
\(852\) | − | 1.16372e13i | − | 0.756608i | ||||||
\(853\) | − | 1.84410e13i | − | 1.19265i | −0.802743 | − | 0.596325i | \(-0.796627\pi\) | ||
0.802743 | − | 0.596325i | \(-0.203373\pi\) | |||||||
\(854\) | 5.65989e12 | − | 3.82530e12i | 0.364122 | − | 0.246096i | ||||
\(855\) | 3.93063e11 | − | 6.80805e11i | 0.0251544 | − | 0.0435687i | ||||
\(856\) | −2.85213e12 | + | 1.64668e12i | −0.181567 | + | 0.104828i | ||||
\(857\) | −8.80749e11 | − | 1.52550e12i | −0.0557748 | − | 0.0966049i | 0.836790 | − | 0.547524i | \(-0.184430\pi\) |
−0.892565 | + | 0.450919i | \(0.851096\pi\) | |||||||
\(858\) | −3.39572e11 | − | 3.54096e12i | −0.0213914 | − | 0.223063i | ||||
\(859\) | 1.31521e13 | − | 2.27801e13i | 0.824188 | − | 1.42754i | −0.0783498 | − | 0.996926i | \(-0.524965\pi\) |
0.902538 | − | 0.430610i | \(-0.141702\pi\) | |||||||
\(860\) | 1.05415e11 | + | 6.08614e10i | 0.00657142 | + | 0.00379401i | ||||
\(861\) | −1.48719e13 | − | 7.23639e12i | −0.922255 | − | 0.448754i | ||||
\(862\) | 9.89318e12 | + | 1.71355e13i | 0.610314 | + | 1.05709i | ||||
\(863\) | −6.07485e12 | − | 3.50732e12i | −0.372810 | − | 0.215242i | 0.301876 | − | 0.953347i | \(-0.402387\pi\) |
−0.674685 | + | 0.738106i | \(0.735721\pi\) | |||||||
\(864\) | 5.72478e12 | + | 3.30520e12i | 0.349500 | + | 0.201784i | ||||
\(865\) | 1.07707e12 | + | 6.21849e11i | 0.0654144 | + | 0.0377670i | ||||
\(866\) | 1.56110e13 | + | 9.01301e12i | 0.943192 | + | 0.544552i | ||||
\(867\) | −3.74400e9 | − | 6.48479e9i | −0.000225035 | − | 0.000389771i | ||||
\(868\) | 5.29011e10 | + | 7.46551e11i | 0.00316320 | + | 0.0446396i | ||||
\(869\) | −3.20867e12 | − | 1.85253e12i | −0.190870 | − | 0.110199i | ||||
\(870\) | 1.60695e12 | − | 2.78333e12i | 0.0950970 | − | 0.164713i | ||||
\(871\) | 2.10071e12 | − | 4.60486e12i | 0.123676 | − | 0.271104i | ||||
\(872\) | 6.52865e12 | + | 1.13079e13i | 0.382383 | + | 0.662307i | ||||
\(873\) | 3.70344e12 | − | 2.13818e12i | 0.215795 | − | 0.124589i | ||||
\(874\) | 7.78288e12 | − | 1.34803e13i | 0.451169 | − | 0.781447i | ||||
\(875\) | −1.96177e11 | − | 2.76849e12i | −0.0113139 | − | 0.159664i | ||||
\(876\) | − | 7.45704e12i | − | 0.427857i | ||||||
\(877\) | 1.60112e13i | 0.913956i | 0.889478 | + | 0.456978i | \(0.151068\pi\) | ||||
−0.889478 | + | 0.456978i | \(0.848932\pi\) | |||||||
\(878\) | 5.62770e12 | + | 3.24915e12i | 0.319599 | + | 0.184521i | ||||
\(879\) | 8.52272e12 | − | 4.92059e12i | 0.481535 | − | 0.278014i | ||||
\(880\) | 2.55763e11 | 0.0143769 | ||||||||
\(881\) | 1.68502e13 | − | 2.91854e13i | 0.942352 | − | 1.63220i | 0.181384 | − | 0.983412i | \(-0.441942\pi\) |
0.760968 | − | 0.648789i | \(-0.224724\pi\) | |||||||
\(882\) | −1.11691e13 | + | 8.75976e12i | −0.621457 | + | 0.487398i | ||||
\(883\) | −1.84093e13 | −1.01910 | −0.509548 | − | 0.860442i | \(-0.670187\pi\) | ||||
−0.509548 | + | 0.860442i | \(0.670187\pi\) | |||||||
\(884\) | 8.39024e11 | + | 8.74909e12i | 0.0462104 | + | 0.481867i | ||||
\(885\) | 4.30916e11 | + | 7.46369e11i | 0.0236128 | + | 0.0408986i | ||||
\(886\) | 1.37857e13i | 0.751583i | ||||||||
\(887\) | −1.39914e13 | − | 2.42338e13i | −0.758936 | − | 1.31452i | −0.943394 | − | 0.331675i | \(-0.892386\pi\) |
0.184458 | − | 0.982840i | \(-0.440947\pi\) | |||||||
\(888\) | 1.18720e13 | + | 2.05630e13i | 0.640717 | + | 1.10976i | ||||
\(889\) | −2.60024e12 | + | 5.34388e12i | −0.139622 | + | 0.286945i | ||||
\(890\) | −2.95390e12 | + | 1.70544e12i | −0.157812 | + | 0.0911131i | ||||
\(891\) | 3.30998e12i | 0.175945i | ||||||||
\(892\) | −1.18617e13 | + | 6.84838e12i | −0.627345 | + | 0.362198i | ||||
\(893\) | −1.16900e13 | + | 2.02476e13i | −0.615152 | + | 1.06547i | ||||
\(894\) | −2.06624e13 | − | 3.57884e13i | −1.08184 | − | 1.87380i | ||||
\(895\) | −1.13579e12 | − | 6.55747e11i | −0.0591688 | − | 0.0341611i | ||||
\(896\) | 1.74198e13 | − | 1.17733e13i | 0.902934 | − | 0.610259i | ||||
\(897\) | 1.82130e12 | + | 1.89920e13i | 0.0939325 | + | 0.979499i | ||||
\(898\) | −2.10511e13 | + | 3.64615e13i | −1.08026 | + | 1.87107i | ||||
\(899\) | − | 2.74271e12i | − | 0.140043i | ||||||
\(900\) | −6.13644e12 | −0.311763 | ||||||||
\(901\) | −1.57410e13 | −0.795740 | ||||||||
\(902\) | − | 2.77202e12i | − | 0.139433i | ||||||
\(903\) | 2.80478e12 | + | 4.14993e12i | 0.140380 | + | 0.207705i | ||||
\(904\) | −1.39537e13 | + | 8.05618e12i | −0.694915 | + | 0.401209i | ||||
\(905\) | −1.32420e12 | − | 7.64527e11i | −0.0656198 | − | 0.0378856i | ||||
\(906\) | −7.17581e12 | + | 1.24289e13i | −0.353829 | + | 0.612850i | ||||
\(907\) | 3.28247e13 | 1.61053 | 0.805264 | − | 0.592917i | \(-0.202024\pi\) | ||||
0.805264 | + | 0.592917i | \(0.202024\pi\) | |||||||
\(908\) | 6.10156e12 | − | 3.52274e12i | 0.297889 | − | 0.171986i | ||||
\(909\) | 2.61745e12 | 0.127157 | ||||||||
\(910\) | 1.89559e12 | + | 7.07561e11i | 0.0916344 | + | 0.0342041i | ||||
\(911\) | 9.98172e12 | 0.480146 | 0.240073 | − | 0.970755i | \(-0.422829\pi\) | ||||
0.240073 | + | 0.970755i | \(0.422829\pi\) | |||||||
\(912\) | 2.80565e13 | − | 1.61984e13i | 1.34294 | − | 0.775346i | ||||
\(913\) | −9.11778e11 | −0.0434281 | ||||||||
\(914\) | 1.11351e13 | − | 1.92866e13i | 0.527760 | − | 0.914107i | ||||
\(915\) | −6.82879e11 | − | 3.94261e11i | −0.0322069 | − | 0.0185947i | ||||
\(916\) | −7.79807e12 | + | 4.50222e12i | −0.365980 | + | 0.211299i | ||||
\(917\) | 8.47164e12 | − | 1.74105e13i | 0.395645 | − | 0.813109i | ||||
\(918\) | − | 1.18371e13i | − | 0.550113i | ||||||
\(919\) | −3.56352e13 | −1.64801 | −0.824004 | − | 0.566583i | \(-0.808265\pi\) | ||||
−0.824004 | + | 0.566583i | \(0.808265\pi\) | |||||||
\(920\) | −8.40531e11 | −0.0386819 | ||||||||
\(921\) | 1.96048e13i | 0.897828i | ||||||||
\(922\) | 4.23694e12 | − | 7.33860e12i | 0.193092 | − | 0.334444i | ||||
\(923\) | −2.67257e13 | + | 2.56296e12i | −1.21205 | + | 0.116234i | ||||
\(924\) | −1.77386e12 | − | 8.63130e11i | −0.0800563 | − | 0.0389540i | ||||
\(925\) | 3.04203e13 | + | 1.75631e13i | 1.36623 | + | 0.788796i | ||||
\(926\) | −2.29845e13 | − | 3.98103e13i | −1.02727 | − | 1.77929i | ||||
\(927\) | −7.98530e12 | + | 1.38310e13i | −0.355167 | + | 0.615167i | ||||
\(928\) | 2.64877e13 | − | 1.52927e13i | 1.17241 | − | 0.676891i | ||||
\(929\) | 8.31459e11i | 0.0366244i | 0.999832 | + | 0.0183122i | \(0.00582928\pi\) | ||||
−0.999832 | + | 0.0183122i | \(0.994171\pi\) | |||||||
\(930\) | 2.29392e11 | − | 1.32439e11i | 0.0100555 | − | 0.00580555i | ||||
\(931\) | −3.12404e12 | − | 2.19328e13i | −0.136283 | − | 0.956800i | ||||
\(932\) | −1.08076e13 | − | 1.87194e13i | −0.469201 | − | 0.812680i | ||||
\(933\) | −1.70853e13 | − | 2.95926e13i | −0.738168 | − | 1.27854i | ||||
\(934\) | − | 3.18852e13i | − | 1.37097i | ||||||
\(935\) | −1.34444e11 | − | 2.32865e11i | −0.00575295 | − | 0.00996440i | ||||
\(936\) | −3.97194e12 | + | 8.70670e12i | −0.169146 | + | 0.370776i | ||||
\(937\) | −1.72923e13 | −0.732864 | −0.366432 | − | 0.930445i | \(-0.619421\pi\) | ||||
−0.366432 | + | 0.930445i | \(0.619421\pi\) | |||||||
\(938\) | −4.81922e12 | − | 7.13049e12i | −0.203266 | − | 0.300751i | ||||
\(939\) | −2.04931e13 | + | 3.54951e13i | −0.860225 | + | 1.48995i | ||||
\(940\) | −1.18416e12 | −0.0494693 | ||||||||
\(941\) | 1.82667e13 | − | 1.05463e13i | 0.759461 | − | 0.438475i | −0.0696410 | − | 0.997572i | \(-0.522185\pi\) |
0.829102 | + | 0.559097i | \(0.188852\pi\) | |||||||
\(942\) | 4.29514e13 | + | 2.47980e13i | 1.77725 | + | 1.02610i | ||||
\(943\) | 1.48678e13i | 0.612270i | ||||||||
\(944\) | 1.39696e13i | 0.572546i | ||||||||
\(945\) | −7.99147e11 | − | 3.88851e11i | −0.0325974 | − | 0.0158614i | ||||
\(946\) | −4.19756e11 | + | 7.27038e11i | −0.0170407 | + | 0.0295153i | ||||
\(947\) | 2.52196e13 | − | 1.45605e13i | 1.01897 | − | 0.588305i | 0.105168 | − | 0.994454i | \(-0.466462\pi\) |
0.913807 | + | 0.406149i | \(0.133129\pi\) | |||||||
\(948\) | −1.18849e13 | − | 2.05853e13i | −0.477925 | − | 0.827790i | ||||
\(949\) | −1.71257e13 | + | 1.64232e12i | −0.685408 | + | 0.0657296i | ||||
\(950\) | 1.46830e13 | − | 2.54318e13i | 0.584871 | − | 1.01303i | ||||
\(951\) | 3.35619e13 | + | 1.93770e13i | 1.33056 | + | 0.768200i | ||||
\(952\) | −1.43275e13 | − | 6.97151e12i | −0.565333 | − | 0.275081i | ||||
\(953\) | 2.12878e13 | + | 3.68715e13i | 0.836012 | + | 1.44802i | 0.893204 | + | 0.449652i | \(0.148452\pi\) |
−0.0571915 | + | 0.998363i | \(0.518215\pi\) | |||||||
\(954\) | 1.39221e13 | + | 8.03792e12i | 0.544172 | + | 0.314178i | ||||
\(955\) | 1.46547e12 | + | 8.46088e11i | 0.0570113 | + | 0.0329155i | ||||
\(956\) | 5.22088e12 | + | 3.01428e12i | 0.202155 | + | 0.116714i | ||||
\(957\) | 6.26074e12 | + | 3.61464e12i | 0.241280 | + | 0.139303i | ||||
\(958\) | −7.15776e12 | − | 1.23976e13i | −0.274557 | − | 0.475547i | ||||
\(959\) | 3.59132e13 | + | 1.74747e13i | 1.37110 | + | 0.667155i | ||||
\(960\) | −3.77963e11 | − | 2.18217e11i | −0.0143625 | − | 0.00829217i | ||||
\(961\) | −1.31068e13 | + | 2.27016e13i | −0.495725 | + | 0.858621i | ||||
\(962\) | −4.18421e13 | + | 2.98212e13i | −1.57516 | + | 1.12263i | ||||
\(963\) | −2.88548e12 | − | 4.99779e12i | −0.108118 | − | 0.187266i | ||||
\(964\) | 1.86353e13 | − | 1.07591e13i | 0.695008 | − | 0.401263i | ||||
\(965\) | −4.37630e11 | + | 7.57997e11i | −0.0162455 | + | 0.0281381i | ||||
\(966\) | 2.91717e13 | + | 1.41944e13i | 1.07787 | + | 0.524471i | ||||
\(967\) | − | 1.04997e13i | − | 0.386153i | −0.981184 | − | 0.193076i | \(-0.938153\pi\) | ||
0.981184 | − | 0.193076i | \(-0.0618465\pi\) | |||||||
\(968\) | − | 1.68191e13i | − | 0.615691i | ||||||
\(969\) | −2.94964e13 | − | 1.70297e13i | −1.07476 | − | 0.620513i | ||||
\(970\) | −8.97641e11 | + | 5.18253e11i | −0.0325559 | + | 0.0187962i | ||||
\(971\) | 4.64721e13 | 1.67767 | 0.838833 | − | 0.544389i | \(-0.183239\pi\) | ||||
0.838833 | + | 0.544389i | \(0.183239\pi\) | |||||||
\(972\) | −7.57697e12 | + | 1.31237e13i | −0.272268 | + | 0.471583i | ||||
\(973\) | −2.61183e13 | − | 3.86445e13i | −0.934195 | − | 1.38223i | ||||
\(974\) | −6.89757e11 | −0.0245573 | ||||||||
\(975\) | 3.43604e12 | + | 3.58299e13i | 0.121769 | + | 1.26977i | ||||
\(976\) | −6.39065e12 | − | 1.10689e13i | −0.225435 | − | 0.390464i | ||||
\(977\) | − | 2.13900e13i | − | 0.751078i | −0.926807 | − | 0.375539i | \(-0.877458\pi\) | ||
0.926807 | − | 0.375539i | \(-0.122542\pi\) | |||||||
\(978\) | −4.24244e13 | − | 7.34813e13i | −1.48283 | − | 2.56834i | ||||
\(979\) | −3.83617e12 | − | 6.64444e12i | −0.133467 | − | 0.231172i | ||||
\(980\) | 8.82925e11 | − | 6.92463e11i | 0.0305778 | − | 0.0239817i | ||||
\(981\) | −1.98150e13 | + | 1.14402e13i | −0.683098 | + | 0.394387i | ||||
\(982\) | − | 8.84825e10i | − | 0.00303638i | ||||||
\(983\) | −1.53024e12 | + | 8.83484e11i | −0.0522719 | + | 0.0301792i | −0.525908 | − | 0.850541i | \(-0.676274\pi\) |
0.473636 | + | 0.880721i | \(0.342941\pi\) | |||||||
\(984\) | −9.48012e12 | + | 1.64200e13i | −0.322356 | + | 0.558337i | ||||
\(985\) | 6.09265e11 | + | 1.05528e12i | 0.0206226 | + | 0.0357194i | ||||
\(986\) | −4.74308e13 | − | 2.73842e13i | −1.59814 | − | 0.922686i | ||||
\(987\) | −4.38163e13 | − | 2.13202e13i | −1.46963 | − | 0.715097i | ||||
\(988\) | 8.13105e12 | + | 1.14087e13i | 0.271482 | + | 0.380915i | ||||
\(989\) | 2.25137e12 | − | 3.89948e12i | 0.0748278 | − | 0.129605i | ||||
\(990\) | 2.74608e11i | 0.00908563i | ||||||||
\(991\) | 5.29730e13 | 1.74471 | 0.872356 | − | 0.488872i | \(-0.162592\pi\) | ||||
0.872356 | + | 0.488872i | \(0.162592\pi\) | |||||||
\(992\) | 2.52074e12 | 0.0826467 | ||||||||
\(993\) | 3.07438e13i | 1.00343i | ||||||||
\(994\) | −1.99746e13 | + | 4.10508e13i | −0.648992 | + | 1.33378i | ||||
\(995\) | 1.22123e12 | − | 7.05080e11i | 0.0394998 | − | 0.0228052i | ||||
\(996\) | −5.06584e12 | − | 2.92477e12i | −0.163112 | − | 0.0941725i | ||||
\(997\) | −1.80816e13 | + | 3.13183e13i | −0.579574 | + | 1.00385i | 0.415954 | + | 0.909386i | \(0.363448\pi\) |
−0.995528 | + | 0.0944664i | \(0.969885\pi\) | |||||||
\(998\) | 4.22085e13 | 1.34683 | ||||||||
\(999\) | 1.95451e13 | − | 1.12844e13i | 0.620860 | − | 0.358454i |
(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 | 91.10.u.a.30.18 | yes | 164 | |
7.4 | even | 3 | 91.10.k.a.4.18 | ✓ | 164 | ||
13.10 | even | 6 | 91.10.k.a.23.65 | yes | 164 | ||
91.88 | even | 6 | inner | 91.10.u.a.88.18 | yes | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.10.k.a.4.18 | ✓ | 164 | 7.4 | even | 3 | ||
91.10.k.a.23.65 | yes | 164 | 13.10 | even | 6 | ||
91.10.u.a.30.18 | yes | 164 | 1.1 | even | 1 | trivial | |
91.10.u.a.88.18 | yes | 164 | 91.88 | even | 6 | inner |