Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,7,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.59178475946\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.13 | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.7.h.a.20.13 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.46608 | − | 1.12620i | 0.433260 | − | 0.140775i | −0.0842641 | − | 0.996443i | \(-0.526854\pi\) |
0.517524 | + | 0.855669i | \(0.326854\pi\) | |||||||
\(3\) | 20.0067 | − | 18.1310i | 0.740989 | − | 0.671518i | ||||
\(4\) | −41.0317 | + | 29.8113i | −0.641121 | + | 0.465801i | ||||
\(5\) | −207.457 | − | 67.4069i | −1.65966 | − | 0.539255i | −0.678856 | − | 0.734271i | \(-0.737524\pi\) |
−0.980800 | + | 0.195016i | \(0.937524\pi\) | |||||||
\(6\) | 48.9257 | − | 85.3748i | 0.226508 | − | 0.395254i | ||||
\(7\) | −309.326 | + | 224.739i | −0.901826 | + | 0.655215i | −0.938934 | − | 0.344096i | \(-0.888185\pi\) |
0.0371081 | + | 0.999311i | \(0.488185\pi\) | |||||||
\(8\) | −245.744 | + | 338.237i | −0.479968 | + | 0.660619i | ||||
\(9\) | 71.5354 | − | 725.482i | 0.0981281 | − | 0.995174i | ||||
\(10\) | −794.976 | −0.794976 | ||||||||
\(11\) | 1315.45 | − | 202.875i | 0.988315 | − | 0.152423i | ||||
\(12\) | −280.401 | + | 1340.37i | −0.162269 | + | 0.775677i | ||||
\(13\) | −49.3913 | − | 152.011i | −0.0224812 | − | 0.0691902i | 0.939186 | − | 0.343408i | \(-0.111581\pi\) |
−0.961668 | + | 0.274217i | \(0.911581\pi\) | |||||||
\(14\) | −819.049 | + | 1127.32i | −0.298487 | + | 0.410833i | ||||
\(15\) | −5372.68 | + | 2412.81i | −1.59191 | + | 0.714907i | ||||
\(16\) | 532.209 | − | 1637.97i | 0.129934 | − | 0.399896i | ||||
\(17\) | −2813.90 | − | 914.290i | −0.572745 | − | 0.186096i | 0.00830293 | − | 0.999966i | \(-0.497357\pi\) |
−0.581048 | + | 0.813869i | \(0.697357\pi\) | |||||||
\(18\) | −569.088 | − | 2595.14i | −0.0975802 | − | 0.444983i | ||||
\(19\) | −8908.01 | − | 6472.05i | −1.29873 | − | 0.943585i | −0.298791 | − | 0.954318i | \(-0.596583\pi\) |
−0.999942 | + | 0.0107333i | \(0.996583\pi\) | |||||||
\(20\) | 10521.8 | − | 3418.74i | 1.31523 | − | 0.427343i | ||||
\(21\) | −2113.86 | + | 10104.7i | −0.228254 | + | 1.09110i | ||||
\(22\) | 4330.97 | − | 2184.63i | 0.406740 | − | 0.205168i | ||||
\(23\) | − | 3868.12i | − | 0.317919i | −0.987285 | − | 0.158960i | \(-0.949186\pi\) | ||
0.987285 | − | 0.158960i | \(-0.0508139\pi\) | |||||||
\(24\) | 1216.05 | + | 11222.6i | 0.0879667 | + | 0.811818i | ||||
\(25\) | 25853.9 | + | 18783.9i | 1.65465 | + | 1.20217i | ||||
\(26\) | −342.388 | − | 471.257i | −0.0194804 | − | 0.0268125i | ||||
\(27\) | −11722.5 | − | 15811.5i | −0.595565 | − | 0.803307i | ||||
\(28\) | 5992.44 | − | 18442.8i | 0.272979 | − | 0.840144i | ||||
\(29\) | 650.406 | + | 895.207i | 0.0266680 | + | 0.0367054i | 0.822143 | − | 0.569281i | \(-0.192778\pi\) |
−0.795475 | + | 0.605987i | \(0.792778\pi\) | |||||||
\(30\) | −15904.8 | + | 14413.7i | −0.589068 | + | 0.533840i | ||||
\(31\) | 9410.07 | + | 28961.2i | 0.315870 | + | 0.972147i | 0.975395 | + | 0.220465i | \(0.0707573\pi\) |
−0.659525 | + | 0.751682i | \(0.729243\pi\) | |||||||
\(32\) | − | 33034.1i | − | 1.00812i | ||||||
\(33\) | 22639.4 | − | 27909.2i | 0.629976 | − | 0.776615i | ||||
\(34\) | −10782.8 | −0.274345 | ||||||||
\(35\) | 79320.9 | − | 25772.9i | 1.85005 | − | 0.601118i | ||||
\(36\) | 18692.3 | + | 31900.3i | 0.400641 | + | 0.683735i | ||||
\(37\) | −32265.8 | + | 23442.5i | −0.636997 | + | 0.462805i | −0.858817 | − | 0.512282i | \(-0.828800\pi\) |
0.221820 | + | 0.975088i | \(0.428800\pi\) | |||||||
\(38\) | −38164.7 | − | 12400.5i | −0.695522 | − | 0.225989i | ||||
\(39\) | −3744.26 | − | 2145.72i | −0.0631208 | − | 0.0361726i | ||||
\(40\) | 73780.7 | − | 53604.8i | 1.15282 | − | 0.837576i | ||||
\(41\) | −3524.47 | + | 4851.01i | −0.0511378 | + | 0.0703851i | −0.833820 | − | 0.552036i | \(-0.813851\pi\) |
0.782682 | + | 0.622421i | \(0.213851\pi\) | |||||||
\(42\) | 4053.03 | + | 37404.2i | 0.0547056 | + | 0.504862i | ||||
\(43\) | −88867.7 | −1.11773 | −0.558867 | − | 0.829257i | \(-0.688764\pi\) | ||||
−0.558867 | + | 0.829257i | \(0.688764\pi\) | |||||||
\(44\) | −47927.1 | + | 47539.5i | −0.562631 | + | 0.558080i | ||||
\(45\) | −63743.0 | + | 145684.i | −0.699511 | + | 1.59873i | ||||
\(46\) | −4356.27 | − | 13407.2i | −0.0447549 | − | 0.137742i | ||||
\(47\) | 62872.8 | − | 86536.9i | 0.605576 | − | 0.833504i | −0.390628 | − | 0.920549i | \(-0.627742\pi\) |
0.996204 | + | 0.0870442i | \(0.0277421\pi\) | |||||||
\(48\) | −19050.3 | − | 42419.9i | −0.172257 | − | 0.383571i | ||||
\(49\) | 8819.78 | − | 27144.5i | 0.0749669 | − | 0.230724i | ||||
\(50\) | 110766. | + | 35990.0i | 0.886127 | + | 0.287920i | ||||
\(51\) | −72873.7 | + | 32726.8i | −0.549364 | + | 0.246713i | ||||
\(52\) | 6558.25 | + | 4764.85i | 0.0466421 | + | 0.0338874i | ||||
\(53\) | −15515.5 | + | 5041.29i | −0.104217 | + | 0.0338621i | −0.360661 | − | 0.932697i | \(-0.617449\pi\) |
0.256444 | + | 0.966559i | \(0.417449\pi\) | |||||||
\(54\) | −58438.0 | − | 41602.0i | −0.371119 | − | 0.264200i | ||||
\(55\) | −286574. | − | 46582.4i | −1.72246 | − | 0.279985i | ||||
\(56\) | − | 159854.i | − | 0.910246i | ||||||
\(57\) | −295564. | + | 32026.7i | −1.59598 | + | 0.172937i | ||||
\(58\) | 3262.54 | + | 2370.37i | 0.0167214 | + | 0.0121488i | ||||
\(59\) | −31753.6 | − | 43705.1i | −0.154610 | − | 0.212802i | 0.724685 | − | 0.689081i | \(-0.241985\pi\) |
−0.879295 | + | 0.476278i | \(0.841985\pi\) | |||||||
\(60\) | 148521. | − | 259168.i | 0.687599 | − | 1.19985i | ||||
\(61\) | −115051. | + | 354089.i | −0.506873 | + | 1.55999i | 0.290726 | + | 0.956806i | \(0.406103\pi\) |
−0.797599 | + | 0.603188i | \(0.793897\pi\) | |||||||
\(62\) | 65232.1 | + | 89784.3i | 0.273707 | + | 0.376726i | ||||
\(63\) | 140916. | + | 240487.i | 0.563559 | + | 0.961769i | ||||
\(64\) | −3141.46 | − | 9668.43i | −0.0119837 | − | 0.0368821i | ||||
\(65\) | 34865.0i | 0.126955i | ||||||||
\(66\) | 47038.8 | − | 122232.i | 0.163615 | − | 0.425160i | ||||
\(67\) | 372987. | 1.24013 | 0.620067 | − | 0.784549i | \(-0.287105\pi\) | ||||
0.620067 | + | 0.784549i | \(0.287105\pi\) | |||||||
\(68\) | 142715. | − | 46371.0i | 0.453882 | − | 0.147475i | ||||
\(69\) | −70132.8 | − | 77388.3i | −0.213488 | − | 0.235574i | ||||
\(70\) | 245907. | − | 178662.i | 0.716930 | − | 0.520880i | ||||
\(71\) | 64896.3 | + | 21086.1i | 0.181320 | + | 0.0589143i | 0.398270 | − | 0.917268i | \(-0.369611\pi\) |
−0.216950 | + | 0.976183i | \(0.569611\pi\) | |||||||
\(72\) | 227805. | + | 202478.i | 0.610332 | + | 0.542477i | ||||
\(73\) | 41200.9 | − | 29934.2i | 0.105910 | − | 0.0769483i | −0.533570 | − | 0.845756i | \(-0.679150\pi\) |
0.639480 | + | 0.768808i | \(0.279150\pi\) | |||||||
\(74\) | −85434.9 | + | 117591.i | −0.210834 | + | 0.290188i | ||||
\(75\) | 857821. | − | 92951.4i | 2.03335 | − | 0.220329i | ||||
\(76\) | 558451. | 1.27217 | ||||||||
\(77\) | −361309. | + | 358387.i | −0.791419 | + | 0.785018i | ||||
\(78\) | −15394.4 | − | 3220.46i | −0.0324399 | − | 0.00678631i | ||||
\(79\) | −224316. | − | 690373.i | −0.454966 | − | 1.40024i | −0.871175 | − | 0.490972i | \(-0.836642\pi\) |
0.416210 | − | 0.909269i | \(-0.363358\pi\) | |||||||
\(80\) | −220821. | + | 303934.i | −0.431291 | + | 0.593622i | ||||
\(81\) | −521206. | − | 103795.i | −0.980742 | − | 0.195309i | ||||
\(82\) | −6752.88 | + | 20783.2i | −0.0122475 | + | 0.0376939i | ||||
\(83\) | −696592. | − | 226336.i | −1.21827 | − | 0.395840i | −0.371819 | − | 0.928305i | \(-0.621266\pi\) |
−0.846452 | + | 0.532465i | \(0.821266\pi\) | |||||||
\(84\) | −214498. | − | 477629.i | −0.361897 | − | 0.805847i | ||||
\(85\) | 522133. | + | 379352.i | 0.850206 | + | 0.617711i | ||||
\(86\) | −308022. | + | 100082.i | −0.484269 | + | 0.157349i | ||||
\(87\) | 29243.5 | + | 6117.64i | 0.0444090 | + | 0.00929022i | ||||
\(88\) | −254643. | + | 494788.i | −0.373666 | + | 0.726058i | ||||
\(89\) | − | 1.34220e6i | − | 1.90392i | −0.306223 | − | 0.951960i | \(-0.599065\pi\) | ||
0.306223 | − | 0.951960i | \(-0.400935\pi\) | |||||||
\(90\) | −56868.9 | + | 576740.i | −0.0780094 | + | 0.791139i | ||||
\(91\) | 49440.8 | + | 35920.8i | 0.0656086 | + | 0.0476675i | ||||
\(92\) | 115314. | + | 158716.i | 0.148087 | + | 0.203824i | ||||
\(93\) | 713360. | + | 408805.i | 0.886870 | + | 0.508238i | ||||
\(94\) | 120464. | − | 370751.i | 0.145036 | − | 0.446374i | ||||
\(95\) | 1.41177e6 | + | 1.94313e6i | 1.64662 | + | 2.26638i | ||||
\(96\) | −598940. | − | 660903.i | −0.676970 | − | 0.747005i | ||||
\(97\) | −196405. | − | 604473.i | −0.215198 | − | 0.662311i | −0.999139 | − | 0.0414764i | \(-0.986794\pi\) |
0.783942 | − | 0.620835i | \(-0.213206\pi\) | |||||||
\(98\) | − | 104018.i | − | 0.110517i | ||||||
\(99\) | −53080.9 | − | 968846.i | −0.0547057 | − | 0.998503i | ||||
\(100\) | −1.62080e6 | −1.62080 | ||||||||
\(101\) | −412435. | + | 134008.i | −0.400305 | + | 0.130067i | −0.502249 | − | 0.864723i | \(-0.667494\pi\) |
0.101944 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(102\) | −215729. | + | 195504.i | −0.203286 | + | 0.184227i | ||||
\(103\) | −1.19483e6 | + | 868094.i | −1.09344 | + | 0.794429i | −0.979976 | − | 0.199114i | \(-0.936194\pi\) |
−0.113461 | + | 0.993542i | \(0.536194\pi\) | |||||||
\(104\) | 63553.3 | + | 20649.7i | 0.0564986 | + | 0.0183575i | ||||
\(105\) | 1.11966e6 | − | 1.95380e6i | 0.967205 | − | 1.68776i | ||||
\(106\) | −48100.4 | + | 34947.0i | −0.0403860 | + | 0.0293422i | ||||
\(107\) | −962640. | + | 1.32496e6i | −0.785801 | + | 1.08156i | 0.208817 | + | 0.977955i | \(0.433039\pi\) |
−0.994618 | + | 0.103608i | \(0.966961\pi\) | |||||||
\(108\) | 952356. | + | 299310.i | 0.756011 | + | 0.237602i | ||||
\(109\) | −40045.6 | −0.0309226 | −0.0154613 | − | 0.999880i | \(-0.504922\pi\) | ||||
−0.0154613 | + | 0.999880i | \(0.504922\pi\) | |||||||
\(110\) | −1.04575e6 | + | 161280.i | −0.785687 | + | 0.121172i | ||||
\(111\) | −220497. | + | 1.05402e6i | −0.161225 | + | 0.770688i | ||||
\(112\) | 203490. | + | 626276.i | 0.144840 | + | 0.445771i | ||||
\(113\) | 707211. | − | 973392.i | 0.490133 | − | 0.674610i | −0.490280 | − | 0.871565i | \(-0.663105\pi\) |
0.980412 | + | 0.196955i | \(0.0631054\pi\) | |||||||
\(114\) | −988381. | + | 443871.i | −0.667129 | + | 0.299600i | ||||
\(115\) | −260738. | + | 802469.i | −0.171439 | + | 0.527636i | ||||
\(116\) | −53374.6 | − | 17342.4i | −0.0341948 | − | 0.0111106i | ||||
\(117\) | −113814. | + | 24958.3i | −0.0710623 | + | 0.0155833i | ||||
\(118\) | −159281. | − | 115724.i | −0.0969434 | − | 0.0704335i | ||||
\(119\) | 1.07589e6 | − | 349577.i | 0.638449 | − | 0.207445i | ||||
\(120\) | 504200. | − | 2.41017e6i | 0.291783 | − | 1.39478i | ||||
\(121\) | 1.68924e6 | − | 533742.i | 0.953535 | − | 0.301284i | ||||
\(122\) | 1.35687e6i | 0.747237i | ||||||||
\(123\) | 17440.7 | + | 160955.i | 0.00937234 | + | 0.0864945i | ||||
\(124\) | −1.24948e6 | − | 907803.i | −0.655338 | − | 0.476131i | ||||
\(125\) | −2.09403e6 | − | 2.88219e6i | −1.07214 | − | 1.47568i | ||||
\(126\) | 759262. | + | 674849.i | 0.379560 | + | 0.337361i | ||||
\(127\) | 382203. | − | 1.17630e6i | 0.186588 | − | 0.574258i | −0.813385 | − | 0.581726i | \(-0.802377\pi\) |
0.999972 | + | 0.00746889i | \(0.00237744\pi\) | |||||||
\(128\) | 1.22091e6 | + | 1.68043e6i | 0.582174 | + | 0.801294i | ||||
\(129\) | −1.77795e6 | + | 1.61126e6i | −0.828228 | + | 0.750578i | ||||
\(130\) | 39264.9 | + | 120845.i | 0.0178720 | + | 0.0550045i | ||||
\(131\) | − | 3.93038e6i | − | 1.74832i | −0.485641 | − | 0.874159i | \(-0.661414\pi\) | ||
0.485641 | − | 0.874159i | \(-0.338586\pi\) | |||||||
\(132\) | −96925.7 | + | 1.82007e6i | −0.0421422 | + | 0.791347i | ||||
\(133\) | 4.21001e6 | 1.78948 | ||||||||
\(134\) | 1.29280e6 | − | 420056.i | 0.537300 | − | 0.174579i | ||||
\(135\) | 1.36611e6 | + | 4.07038e6i | 0.555246 | + | 1.65438i | ||||
\(136\) | 1.00074e6 | − | 727083.i | 0.397838 | − | 0.289046i | ||||
\(137\) | 642804. | + | 208860.i | 0.249987 | + | 0.0812256i | 0.431330 | − | 0.902194i | \(-0.358045\pi\) |
−0.181343 | + | 0.983420i | \(0.558045\pi\) | |||||||
\(138\) | −330240. | − | 189250.i | −0.125659 | − | 0.0720112i | ||||
\(139\) | −1.65296e6 | + | 1.20095e6i | −0.615485 | + | 0.447176i | −0.851342 | − | 0.524612i | \(-0.824211\pi\) |
0.235856 | + | 0.971788i | \(0.424211\pi\) | |||||||
\(140\) | −2.48635e6 | + | 3.42217e6i | −0.906104 | + | 1.24714i | ||||
\(141\) | −311123. | − | 2.87126e6i | −0.110988 | − | 1.02427i | ||||
\(142\) | 248683. | 0.0868521 | ||||||||
\(143\) | −95810.8 | − | 189942.i | −0.0327647 | − | 0.0649551i | ||||
\(144\) | −1.15025e6 | − | 503281.i | −0.385215 | − | 0.168548i | ||||
\(145\) | −74588.2 | − | 229559.i | −0.0244662 | − | 0.0752992i | ||||
\(146\) | 109094. | − | 150154.i | 0.0350543 | − | 0.0482480i | ||||
\(147\) | −315701. | − | 702982.i | −0.0993858 | − | 0.221306i | ||||
\(148\) | 625071. | − | 1.92377e6i | 0.192816 | − | 0.593428i | ||||
\(149\) | 3.54942e6 | + | 1.15328e6i | 1.07300 | + | 0.348638i | 0.791654 | − | 0.610970i | \(-0.209220\pi\) |
0.281343 | + | 0.959607i | \(0.409220\pi\) | |||||||
\(150\) | 2.86859e6 | − | 1.28825e6i | 0.849953 | − | 0.381704i | ||||
\(151\) | 4.33906e6 | + | 3.15252e6i | 1.26027 | + | 0.915643i | 0.998771 | − | 0.0495591i | \(-0.0157816\pi\) |
0.261504 | + | 0.965202i | \(0.415782\pi\) | |||||||
\(152\) | 4.37817e6 | − | 1.42255e6i | 1.24670 | − | 0.405078i | ||||
\(153\) | −864594. | + | 1.97603e6i | −0.241400 | + | 0.551719i | ||||
\(154\) | −848711. | + | 1.64910e6i | −0.232379 | + | 0.451528i | ||||
\(155\) | − | 6.64252e6i | − | 1.78376i | ||||||
\(156\) | 217600. | − | 23578.6i | 0.0573173 | − | 0.00621076i | ||||
\(157\) | −3.22672e6 | − | 2.34435e6i | −0.833800 | − | 0.605791i | 0.0868317 | − | 0.996223i | \(-0.472326\pi\) |
−0.920632 | + | 0.390432i | \(0.872326\pi\) | |||||||
\(158\) | −1.55499e6 | − | 2.14026e6i | −0.394237 | − | 0.542620i | ||||
\(159\) | −219010. | + | 382170.i | −0.0544845 | + | 0.0950749i | ||||
\(160\) | −2.22672e6 | + | 6.85315e6i | −0.543634 | + | 1.67313i | ||||
\(161\) | 869317. | + | 1.19651e6i | 0.208305 | + | 0.286708i | ||||
\(162\) | −1.92344e6 | + | 227219.i | −0.452410 | + | 0.0534440i | ||||
\(163\) | −796849. | − | 2.45245e6i | −0.183998 | − | 0.566288i | 0.815932 | − | 0.578148i | \(-0.196225\pi\) |
−0.999930 | + | 0.0118608i | \(0.996225\pi\) | |||||||
\(164\) | − | 304114.i | − | 0.0689454i | ||||||
\(165\) | −6.57798e6 | + | 4.26391e6i | −1.46434 | + | 0.949196i | ||||
\(166\) | −2.66934e6 | −0.583552 | ||||||||
\(167\) | −574555. | + | 186684.i | −0.123362 | + | 0.0400828i | −0.370048 | − | 0.929013i | \(-0.620659\pi\) |
0.246685 | + | 0.969096i | \(0.420659\pi\) | |||||||
\(168\) | −2.89830e6 | − | 3.19814e6i | −0.611246 | − | 0.674482i | ||||
\(169\) | 3.88430e6 | − | 2.82211e6i | 0.804735 | − | 0.584674i | ||||
\(170\) | 2.23698e6 | + | 726838.i | 0.455318 | + | 0.147942i | ||||
\(171\) | −5.33259e6 | + | 5.99962e6i | −1.06647 | + | 1.19987i | ||||
\(172\) | 3.64639e6 | − | 2.64926e6i | 0.716602 | − | 0.520642i | ||||
\(173\) | −1.99625e6 | + | 2.74760e6i | −0.385546 | + | 0.530658i | −0.957043 | − | 0.289946i | \(-0.906363\pi\) |
0.571497 | + | 0.820604i | \(0.306363\pi\) | |||||||
\(174\) | 108250. | − | 11729.7i | 0.0205485 | − | 0.00222658i | ||||
\(175\) | −1.22188e7 | −2.27988 | ||||||||
\(176\) | 367791. | − | 2.26264e6i | 0.0674625 | − | 0.415028i | ||||
\(177\) | −1.42770e6 | − | 298671.i | −0.257465 | − | 0.0538608i | ||||
\(178\) | −1.51159e6 | − | 4.65218e6i | −0.268024 | − | 0.824892i | ||||
\(179\) | −2.60302e6 | + | 3.58274e6i | −0.453856 | + | 0.624679i | −0.973220 | − | 0.229874i | \(-0.926169\pi\) |
0.519365 | + | 0.854553i | \(0.326169\pi\) | |||||||
\(180\) | −1.72755e6 | − | 7.87794e6i | −0.296220 | − | 1.35081i | ||||
\(181\) | −2355.00 | + | 7247.94i | −0.000397151 | + | 0.00122230i | −0.951255 | − | 0.308406i | \(-0.900205\pi\) |
0.950858 | + | 0.309628i | \(0.100205\pi\) | |||||||
\(182\) | 211819. | + | 68824.3i | 0.0351359 | + | 0.0114164i | ||||
\(183\) | 4.11820e6 | + | 9.17013e6i | 0.671977 | + | 1.49631i | ||||
\(184\) | 1.30834e6 | + | 950566.i | 0.210023 | + | 0.152591i | ||||
\(185\) | 8.27395e6 | − | 2.68837e6i | 1.30677 | − | 0.424594i | ||||
\(186\) | 2.93295e6 | + | 613565.i | 0.455792 | + | 0.0953502i | ||||
\(187\) | −3.88702e6 | − | 631832.i | −0.594418 | − | 0.0966222i | ||||
\(188\) | 5.42508e6i | 0.816455i | ||||||||
\(189\) | 7.17954e6 | + | 2.25641e6i | 1.06344 | + | 0.334220i | ||||
\(190\) | 7.08165e6 | + | 5.14512e6i | 1.03246 | + | 0.750127i | ||||
\(191\) | −2.09680e6 | − | 2.88600e6i | −0.300925 | − | 0.414187i | 0.631600 | − | 0.775295i | \(-0.282399\pi\) |
−0.932524 | + | 0.361108i | \(0.882399\pi\) | |||||||
\(192\) | −238148. | − | 136475.i | −0.0336468 | − | 0.0192819i | ||||
\(193\) | 1.53164e6 | − | 4.71391e6i | 0.213052 | − | 0.655706i | −0.786234 | − | 0.617928i | \(-0.787972\pi\) |
0.999286 | − | 0.0377776i | \(-0.0120279\pi\) | |||||||
\(194\) | −1.36151e6 | − | 1.87396e6i | −0.186473 | − | 0.256658i | ||||
\(195\) | 632137. | + | 697534.i | 0.0852525 | + | 0.0940722i | ||||
\(196\) | 447321. | + | 1.37671e6i | 0.0594089 | + | 0.182842i | ||||
\(197\) | − | 944276.i | − | 0.123509i | −0.998091 | − | 0.0617547i | \(-0.980330\pi\) | ||
0.998091 | − | 0.0617547i | \(-0.0196697\pi\) | |||||||
\(198\) | −1.27509e6 | − | 3.29832e6i | −0.164266 | − | 0.424910i | ||||
\(199\) | 2.53844e6 | 0.322113 | 0.161056 | − | 0.986945i | \(-0.448510\pi\) | ||||
0.161056 | + | 0.986945i | \(0.448510\pi\) | |||||||
\(200\) | −1.27068e7 | + | 4.12870e6i | −1.58835 | + | 0.516088i | ||||
\(201\) | 7.46223e6 | − | 6.76261e6i | 0.918925 | − | 0.832772i | ||||
\(202\) | −1.27861e6 | + | 928965.i | −0.155126 | + | 0.112706i | ||||
\(203\) | −402376. | − | 130740.i | −0.0480998 | − | 0.0156286i | ||||
\(204\) | 2.01451e6 | − | 3.51529e6i | 0.237289 | − | 0.414068i | ||||
\(205\) | 1.05817e6 | − | 768803.i | 0.122827 | − | 0.0892388i | ||||
\(206\) | −3.16372e6 | + | 4.35449e6i | −0.361907 | + | 0.498122i | ||||
\(207\) | −2.80625e6 | − | 276707.i | −0.316385 | − | 0.0311968i | ||||
\(208\) | −275276. | −0.0305899 | ||||||||
\(209\) | −1.30310e7 | − | 6.70643e6i | −1.42738 | − | 0.734603i | ||||
\(210\) | 1.68047e6 | − | 8.03297e6i | 0.181457 | − | 0.867397i | ||||
\(211\) | 4.19422e6 | + | 1.29085e7i | 0.446482 | + | 1.37413i | 0.880850 | + | 0.473395i | \(0.156972\pi\) |
−0.434368 | + | 0.900735i | \(0.643028\pi\) | |||||||
\(212\) | 486340. | − | 669389.i | 0.0510425 | − | 0.0702540i | ||||
\(213\) | 1.68067e6 | − | 754770.i | 0.173918 | − | 0.0781045i | ||||
\(214\) | −1.84442e6 | + | 5.67654e6i | −0.188199 | + | 0.579218i | ||||
\(215\) | 1.84362e7 | + | 5.99029e6i | 1.85505 | + | 0.602744i | ||||
\(216\) | 8.22876e6 | − | 79412.3i | 0.816532 | − | 0.00788001i | ||||
\(217\) | −9.41950e6 | − | 6.84367e6i | −0.921825 | − | 0.669745i | ||||
\(218\) | −138801. | + | 45099.2i | −0.0133975 | + | 0.00435311i | ||||
\(219\) | 281557. | − | 1.34590e6i | 0.0268061 | − | 0.128138i | ||||
\(220\) | 1.31473e7 | − | 6.63178e6i | 1.23472 | − | 0.622820i | ||||
\(221\) | 472900.i | 0.0438120i | ||||||||
\(222\) | 422771. | + | 3.90163e6i | 0.0386408 | + | 0.356604i | ||||
\(223\) | 7.71030e6 | + | 5.60186e6i | 0.695275 | + | 0.505147i | 0.878390 | − | 0.477944i | \(-0.158618\pi\) |
−0.183115 | + | 0.983092i | \(0.558618\pi\) | |||||||
\(224\) | 7.42404e6 | + | 1.02183e7i | 0.660536 | + | 0.909149i | ||||
\(225\) | 1.54769e7 | − | 1.74128e7i | 1.35874 | − | 1.52869i | ||||
\(226\) | 1.35502e6 | − | 4.17031e6i | 0.117387 | − | 0.361279i | ||||
\(227\) | −4.06858e6 | − | 5.59992e6i | −0.347829 | − | 0.478745i | 0.598879 | − | 0.800840i | \(-0.295613\pi\) |
−0.946707 | + | 0.322095i | \(0.895613\pi\) | |||||||
\(228\) | 1.11728e7 | − | 1.01253e7i | 0.942662 | − | 0.854283i | ||||
\(229\) | 1.20973e6 | + | 3.72315e6i | 0.100735 | + | 0.310030i | 0.988706 | − | 0.149869i | \(-0.0478853\pi\) |
−0.887971 | + | 0.459900i | \(0.847885\pi\) | |||||||
\(230\) | 3.07506e6i | 0.252738i | ||||||||
\(231\) | −730695. | + | 1.37210e7i | −0.0592789 | + | 1.11314i | ||||
\(232\) | −462625. | −0.0370481 | ||||||||
\(233\) | −4.89707e6 | + | 1.59115e6i | −0.387141 | + | 0.125790i | −0.496119 | − | 0.868255i | \(-0.665242\pi\) |
0.108978 | + | 0.994044i | \(0.465242\pi\) | |||||||
\(234\) | −366381. | + | 214685.i | −0.0285947 | + | 0.0167554i | ||||
\(235\) | −1.88766e7 | + | 1.37146e7i | −1.45452 | + | 1.05677i | ||||
\(236\) | 2.60581e6 | + | 846680.i | 0.198247 | + | 0.0644144i | ||||
\(237\) | −1.70050e7 | − | 9.74502e6i | −1.27741 | − | 0.732045i | ||||
\(238\) | 3.33542e6 | − | 2.42332e6i | 0.247411 | − | 0.179755i | ||||
\(239\) | −5.99476e6 | + | 8.25107e6i | −0.439115 | + | 0.604389i | −0.970015 | − | 0.243045i | \(-0.921854\pi\) |
0.530901 | + | 0.847434i | \(0.321854\pi\) | |||||||
\(240\) | 1.09272e6 | + | 1.00844e7i | 0.0790455 | + | 0.729487i | ||||
\(241\) | 9.72929e6 | 0.695072 | 0.347536 | − | 0.937667i | \(-0.387018\pi\) | ||||
0.347536 | + | 0.937667i | \(0.387018\pi\) | |||||||
\(242\) | 5.25395e6 | − | 3.75241e6i | 0.370715 | − | 0.264767i | ||||
\(243\) | −1.23095e7 | + | 7.37338e6i | −0.857872 | + | 0.513864i | ||||
\(244\) | −5.83513e6 | − | 1.79587e7i | −0.401681 | − | 1.23625i | ||||
\(245\) | −3.65945e6 | + | 5.03680e6i | −0.248838 | + | 0.342497i | ||||
\(246\) | 241717. | + | 538240.i | 0.0162369 | + | 0.0361552i | ||||
\(247\) | −543843. | + | 1.67378e6i | −0.0360897 | + | 0.111073i | ||||
\(248\) | −1.21082e7 | − | 3.93420e6i | −0.793826 | − | 0.257930i | ||||
\(249\) | −1.80402e7 | + | 8.10164e6i | −1.16854 | + | 0.524777i | ||||
\(250\) | −1.05040e7 | − | 7.63159e6i | −0.672255 | − | 0.488422i | ||||
\(251\) | −7.98571e6 | + | 2.59471e6i | −0.505001 | + | 0.164085i | −0.550428 | − | 0.834883i | \(-0.685535\pi\) |
0.0454265 | + | 0.998968i | \(0.485535\pi\) | |||||||
\(252\) | −1.29513e7 | − | 5.66672e6i | −0.809302 | − | 0.354104i | ||||
\(253\) | −784744. | − | 5.08831e6i | −0.0484581 | − | 0.314204i | ||||
\(254\) | − | 4.50758e6i | − | 0.275069i | ||||||
\(255\) | 1.73242e7 | − | 1.87721e6i | 1.04480 | − | 0.113212i | ||||
\(256\) | 6.65062e6 | + | 4.83196e6i | 0.396408 | + | 0.288007i | ||||
\(257\) | 524020. | + | 721251.i | 0.0308708 | + | 0.0424900i | 0.824173 | − | 0.566338i | \(-0.191640\pi\) |
−0.793303 | + | 0.608828i | \(0.791640\pi\) | |||||||
\(258\) | −4.34791e6 | + | 7.58706e6i | −0.253175 | + | 0.441789i | ||||
\(259\) | 4.71223e6 | − | 1.45028e7i | 0.271224 | − | 0.834740i | ||||
\(260\) | −1.03937e6 | − | 1.43057e6i | −0.0591358 | − | 0.0813935i | ||||
\(261\) | 695984. | − | 407819.i | 0.0391451 | − | 0.0229375i | ||||
\(262\) | −4.42638e6 | − | 1.36230e7i | −0.246119 | − | 0.757475i | ||||
\(263\) | 484859.i | 0.0266532i | 0.999911 | + | 0.0133266i | \(0.00424211\pi\) | ||||
−0.999911 | + | 0.0133266i | \(0.995758\pi\) | |||||||
\(264\) | 3.87643e6 | + | 1.45160e7i | 0.210678 | + | 0.788924i | ||||
\(265\) | 3.55861e6 | 0.191224 | ||||||||
\(266\) | 1.45922e7 | − | 4.74129e6i | 0.775311 | − | 0.251914i | ||||
\(267\) | −2.43355e7 | − | 2.68531e7i | −1.27852 | − | 1.41078i | ||||
\(268\) | −1.53043e7 | + | 1.11192e7i | −0.795076 | + | 0.577656i | ||||
\(269\) | −2.07946e7 | − | 6.75658e6i | −1.06830 | − | 0.347112i | −0.278475 | − | 0.960443i | \(-0.589829\pi\) |
−0.789826 | + | 0.613331i | \(0.789829\pi\) | |||||||
\(270\) | 9.31911e6 | + | 1.25698e7i | 0.473460 | + | 0.638610i | ||||
\(271\) | −8.35231e6 | + | 6.06831e6i | −0.419661 | + | 0.304902i | −0.777501 | − | 0.628881i | \(-0.783513\pi\) |
0.357840 | + | 0.933783i | \(0.383513\pi\) | |||||||
\(272\) | −2.99516e6 | + | 4.12249e6i | −0.148838 | + | 0.204858i | ||||
\(273\) | 1.64043e6 | − | 177753.i | 0.0806248 | − | 0.00873631i | ||||
\(274\) | 2.46322e6 | 0.119744 | ||||||||
\(275\) | 3.78202e7 | + | 1.94642e7i | 1.81855 | + | 0.935918i | ||||
\(276\) | 5.18472e6 | + | 1.08463e6i | 0.246603 | + | 0.0515885i | ||||
\(277\) | −5.38374e6 | − | 1.65694e7i | −0.253306 | − | 0.779594i | −0.994159 | − | 0.107927i | \(-0.965579\pi\) |
0.740853 | − | 0.671667i | \(-0.234421\pi\) | |||||||
\(278\) | −4.37678e6 | + | 6.02413e6i | −0.203714 | + | 0.280388i | ||||
\(279\) | 2.16840e7 | − | 4.75508e6i | 0.998451 | − | 0.218950i | ||||
\(280\) | −1.07752e7 | + | 3.31628e7i | −0.490855 | + | 1.51070i | ||||
\(281\) | −1.24707e7 | − | 4.05197e6i | −0.562045 | − | 0.182620i | 0.0141960 | − | 0.999899i | \(-0.495481\pi\) |
−0.576241 | + | 0.817280i | \(0.695481\pi\) | |||||||
\(282\) | −4.31198e6 | − | 9.60163e6i | −0.192278 | − | 0.428152i | ||||
\(283\) | 2.86918e7 | + | 2.08458e7i | 1.26590 | + | 0.919727i | 0.999031 | − | 0.0440065i | \(-0.0140122\pi\) |
0.266865 | + | 0.963734i | \(0.414012\pi\) | |||||||
\(284\) | −3.29141e6 | + | 1.06944e6i | −0.143690 | + | 0.0466877i | ||||
\(285\) | 6.34758e7 | + | 1.32789e7i | 2.74204 | + | 0.573625i | ||||
\(286\) | −546000. | − | 550452.i | −0.0233397 | − | 0.0235300i | ||||
\(287\) | − | 2.29263e6i | − | 0.0969814i | ||||||
\(288\) | −2.39656e7 | − | 2.36310e6i | −1.00325 | − | 0.0989249i | ||||
\(289\) | −1.24456e7 | − | 9.04227e6i | −0.515612 | − | 0.374614i | ||||
\(290\) | −517057. | − | 711668.i | −0.0212004 | − | 0.0291799i | ||||
\(291\) | −1.48891e7 | − | 8.53249e6i | −0.604213 | − | 0.346256i | ||||
\(292\) | −798166. | + | 2.45650e6i | −0.0320586 | + | 0.0986662i | ||||
\(293\) | 6.16978e6 | + | 8.49197e6i | 0.245282 | + | 0.337602i | 0.913852 | − | 0.406047i | \(-0.133093\pi\) |
−0.668570 | + | 0.743650i | \(0.733093\pi\) | |||||||
\(294\) | −1.88594e6 | − | 2.08105e6i | −0.0742141 | − | 0.0818918i | ||||
\(295\) | 3.64149e6 | + | 1.12073e7i | 0.141845 | + | 0.436553i | ||||
\(296\) | − | 1.66743e7i | − | 0.642944i | ||||||
\(297\) | −1.86281e7 | − | 1.84210e7i | −0.711048 | − | 0.703143i | ||||
\(298\) | 1.36014e7 | 0.513965 | ||||||||
\(299\) | −587996. | + | 191052.i | −0.0219969 | + | 0.00714722i | ||||
\(300\) | −3.24269e7 | + | 2.93867e7i | −1.20099 | + | 1.08840i | ||||
\(301\) | 2.74891e7 | − | 1.99720e7i | 1.00800 | − | 0.732356i | ||||
\(302\) | 1.85899e7 | + | 6.04022e6i | 0.674926 | + | 0.219297i | ||||
\(303\) | −5.82176e6 | + | 1.01589e7i | −0.209279 | + | 0.365190i | ||||
\(304\) | −1.53420e7 | + | 1.11466e7i | −0.546085 | + | 0.396754i | ||||
\(305\) | 4.77361e7 | − | 6.57031e7i | 1.68247 | − | 2.31572i | ||||
\(306\) | −771355. | + | 7.82276e6i | −0.0269209 | + | 0.273021i | ||||
\(307\) | −83874.7 | −0.00289879 | −0.00144939 | − | 0.999999i | \(-0.500461\pi\) | ||||
−0.00144939 | + | 0.999999i | \(0.500461\pi\) | |||||||
\(308\) | 4.14116e6 | − | 2.54763e7i | 0.141733 | − | 0.871935i | ||||
\(309\) | −8.16518e6 | + | 3.90311e7i | −0.276752 | + | 1.32293i | ||||
\(310\) | −7.48078e6 | − | 2.30235e7i | −0.251109 | − | 0.772833i | ||||
\(311\) | 1.95846e7 | − | 2.69558e7i | 0.651077 | − | 0.896131i | −0.348068 | − | 0.937469i | \(-0.613162\pi\) |
0.999145 | + | 0.0413382i | \(0.0131621\pi\) | |||||||
\(312\) | 1.64589e6 | − | 739150.i | 0.0541922 | − | 0.0243371i | ||||
\(313\) | 1.55391e6 | − | 4.78244e6i | 0.0506749 | − | 0.155961i | −0.922517 | − | 0.385957i | \(-0.873871\pi\) |
0.973192 | + | 0.229996i | \(0.0738713\pi\) | |||||||
\(314\) | −1.38242e7 | − | 4.49177e6i | −0.446532 | − | 0.145087i | ||||
\(315\) | −1.30235e7 | − | 5.93895e7i | −0.416675 | − | 1.90011i | ||||
\(316\) | 2.97850e7 | + | 2.16401e7i | 0.943922 | + | 0.685799i | ||||
\(317\) | −4.44954e7 | + | 1.44574e7i | −1.39681 | + | 0.453851i | −0.908158 | − | 0.418627i | \(-0.862511\pi\) |
−0.488653 | + | 0.872478i | \(0.662511\pi\) | |||||||
\(318\) | −328707. | + | 1.57128e6i | −0.0102218 | + | 0.0488621i | ||||
\(319\) | 1.03719e6 | + | 1.04565e6i | 0.0319511 | + | 0.0322117i | ||||
\(320\) | 2.21754e6i | 0.0676740i | ||||||||
\(321\) | 4.76358e6 | + | 4.39617e7i | 0.144019 | + | 1.32910i | ||||
\(322\) | 4.36063e6 | + | 3.16818e6i | 0.130612 | + | 0.0948948i | ||||
\(323\) | 1.91489e7 | + | 2.63562e7i | 0.568245 | + | 0.782123i | ||||
\(324\) | 2.44803e7 | − | 1.12789e7i | 0.719749 | − | 0.331614i | ||||
\(325\) | 1.57840e6 | − | 4.85783e6i | 0.0459799 | − | 0.141512i | ||||
\(326\) | −5.52388e6 | − | 7.60297e6i | −0.159438 | − | 0.219447i | ||||
\(327\) | −801180. | + | 726066.i | −0.0229133 | + | 0.0207650i | ||||
\(328\) | −774677. | − | 2.38421e6i | −0.0219533 | − | 0.0675652i | ||||
\(329\) | 4.08981e7i | 1.14846i | ||||||||
\(330\) | −1.79978e7 | + | 2.21871e7i | −0.500815 | + | 0.617390i | ||||
\(331\) | 4.72394e7 | 1.30263 | 0.651314 | − | 0.758808i | \(-0.274218\pi\) | ||||
0.651314 | + | 0.758808i | \(0.274218\pi\) | |||||||
\(332\) | 3.53297e7 | − | 1.14793e7i | 0.965442 | − | 0.313691i | ||||
\(333\) | 1.46989e7 | + | 2.50852e7i | 0.398064 | + | 0.679337i | ||||
\(334\) | −1.78121e6 | + | 1.29412e6i | −0.0478052 | + | 0.0347325i | ||||
\(335\) | −7.73787e7 | − | 2.51419e7i | −2.05820 | − | 0.668749i | ||||
\(336\) | 1.54262e7 | + | 8.84025e6i | 0.406668 | + | 0.233049i | ||||
\(337\) | −1.94858e7 | + | 1.41573e7i | −0.509130 | + | 0.369904i | −0.812493 | − | 0.582971i | \(-0.801890\pi\) |
0.303364 | + | 0.952875i | \(0.401890\pi\) | |||||||
\(338\) | 1.02850e7 | − | 1.41561e7i | 0.266352 | − | 0.366602i | ||||
\(339\) | −3.49960e6 | − | 3.22968e7i | −0.0898296 | − | 0.829011i | ||||
\(340\) | −3.27330e7 | −0.832816 | ||||||||
\(341\) | 1.82540e7 | + | 3.61879e7i | 0.460356 | + | 0.912642i | ||||
\(342\) | −1.17264e7 | + | 2.68007e7i | −0.293148 | + | 0.669989i | ||||
\(343\) | −1.05283e7 | − | 3.24026e7i | −0.260900 | − | 0.802968i | ||||
\(344\) | 2.18387e7 | − | 3.00583e7i | 0.536476 | − | 0.738396i | ||||
\(345\) | 9.33304e6 | + | 2.07822e7i | 0.227283 | + | 0.506097i | ||||
\(346\) | −3.82481e6 | + | 1.17716e7i | −0.0923382 | + | 0.284188i | ||||
\(347\) | 5.43954e7 | + | 1.76741e7i | 1.30189 | + | 0.423009i | 0.876238 | − | 0.481879i | \(-0.160045\pi\) |
0.425650 | + | 0.904888i | \(0.360045\pi\) | |||||||
\(348\) | −1.38228e6 | + | 620768.i | −0.0327989 | + | 0.0147296i | ||||
\(349\) | −4.60533e7 | − | 3.34597e7i | −1.08339 | − | 0.787129i | −0.105119 | − | 0.994460i | \(-0.533522\pi\) |
−0.978271 | + | 0.207331i | \(0.933522\pi\) | |||||||
\(350\) | −4.23512e7 | + | 1.37607e7i | −0.987782 | + | 0.320950i | ||||
\(351\) | −1.82453e6 | + | 2.56290e6i | −0.0421919 | + | 0.0592666i | ||||
\(352\) | −6.70178e6 | − | 4.34546e7i | −0.153660 | − | 0.996341i | ||||
\(353\) | − | 1.83600e7i | − | 0.417397i | −0.977980 | − | 0.208698i | \(-0.933077\pi\) | ||
0.977980 | − | 0.208698i | \(-0.0669227\pi\) | |||||||
\(354\) | −5.28489e6 | + | 572658.i | −0.119131 | + | 0.0129088i | ||||
\(355\) | −1.20418e7 | − | 8.74891e6i | −0.269158 | − | 0.195555i | ||||
\(356\) | 4.00128e7 | + | 5.50730e7i | 0.886848 | + | 1.22064i | ||||
\(357\) | 1.51868e7 | − | 2.65008e7i | 0.333781 | − | 0.582444i | ||||
\(358\) | −4.98738e6 | + | 1.53496e7i | −0.108698 | + | 0.334539i | ||||
\(359\) | −9.52770e6 | − | 1.31138e7i | −0.205923 | − | 0.283429i | 0.693547 | − | 0.720412i | \(-0.256047\pi\) |
−0.899470 | + | 0.436983i | \(0.856047\pi\) | |||||||
\(360\) | −3.36114e7 | − | 5.73612e7i | −0.720409 | − | 1.22945i | ||||
\(361\) | 2.29273e7 | + | 7.05630e7i | 0.487339 | + | 1.49988i | ||||
\(362\) | 27774.1i | 0.000585484i | ||||||||
\(363\) | 2.41189e7 | − | 4.13061e7i | 0.504241 | − | 0.863563i | ||||
\(364\) | −3.09949e6 | −0.0642666 | ||||||||
\(365\) | −1.05652e7 | + | 3.43284e6i | −0.217269 | + | 0.0705951i | ||||
\(366\) | 2.46014e7 | + | 2.71465e7i | 0.501783 | + | 0.553694i | ||||
\(367\) | −5.15642e7 | + | 3.74636e7i | −1.04316 | + | 0.757899i | −0.970900 | − | 0.239487i | \(-0.923021\pi\) |
−0.0722588 | + | 0.997386i | \(0.523021\pi\) | |||||||
\(368\) | −6.33588e6 | − | 2.05865e6i | −0.127134 | − | 0.0413085i | ||||
\(369\) | 3.26720e6 | + | 2.90395e6i | 0.0650274 | + | 0.0577977i | ||||
\(370\) | 2.56505e7 | − | 1.86362e7i | 0.506397 | − | 0.367919i | ||||
\(371\) | 3.66638e6 | − | 5.04634e6i | 0.0717985 | − | 0.0988222i | ||||
\(372\) | −4.14574e7 | + | 4.49222e6i | −0.805328 | + | 0.0872635i | ||||
\(373\) | −1.00775e8 | −1.94190 | −0.970951 | − | 0.239277i | \(-0.923090\pi\) | ||||
−0.970951 | + | 0.239277i | \(0.923090\pi\) | |||||||
\(374\) | −1.41843e7 | + | 2.18757e6i | −0.271139 | + | 0.0418164i | ||||
\(375\) | −9.41515e7 | − | 1.96962e7i | −1.78539 | − | 0.373498i | ||||
\(376\) | 1.38194e7 | + | 4.25318e7i | 0.259972 | + | 0.800111i | ||||
\(377\) | 103957. | − | 143084.i | 0.00194012 | − | 0.00267035i | ||||
\(378\) | 2.74260e7 | − | 264677.i | 0.507793 | − | 0.00490050i | ||||
\(379\) | −2.32596e6 | + | 7.15856e6i | −0.0427252 | + | 0.131495i | −0.970144 | − | 0.242530i | \(-0.922023\pi\) |
0.927419 | + | 0.374025i | \(0.122023\pi\) | |||||||
\(380\) | −1.15855e8 | − | 3.76435e7i | −2.11136 | − | 0.686023i | ||||
\(381\) | −1.36808e7 | − | 3.04636e7i | −0.247365 | − | 0.550815i | ||||
\(382\) | −1.05179e7 | − | 7.64170e6i | −0.188686 | − | 0.137088i | ||||
\(383\) | −2.25089e7 | + | 7.31358e6i | −0.400643 | + | 0.130177i | −0.502406 | − | 0.864632i | \(-0.667552\pi\) |
0.101763 | + | 0.994809i | \(0.467552\pi\) | |||||||
\(384\) | 5.48942e7 | + | 1.14837e7i | 0.969467 | + | 0.202809i | ||||
\(385\) | 9.91138e7 | − | 4.99951e7i | 1.73681 | − | 0.876084i | ||||
\(386\) | − | 1.80637e7i | − | 0.314083i | ||||||
\(387\) | −6.35718e6 | + | 6.44719e7i | −0.109681 | + | 1.11234i | ||||
\(388\) | 2.60790e7 | + | 1.89475e7i | 0.446473 | + | 0.324382i | ||||
\(389\) | −3.35805e7 | − | 4.62195e7i | −0.570477 | − | 0.785194i | 0.422134 | − | 0.906533i | \(-0.361281\pi\) |
−0.992611 | + | 0.121339i | \(0.961281\pi\) | |||||||
\(390\) | 2.97660e6 | + | 1.70580e6i | 0.0501795 | + | 0.0287563i | ||||
\(391\) | −3.53658e6 | + | 1.08845e7i | −0.0591635 | + | 0.182087i | ||||
\(392\) | 7.01386e6 | + | 9.65376e6i | 0.116439 | + | 0.160265i | ||||
\(393\) | −7.12616e7 | − | 7.86338e7i | −1.17403 | − | 1.29548i | ||||
\(394\) | −1.06344e6 | − | 3.27293e6i | −0.0173870 | − | 0.0535117i | ||||
\(395\) | 1.58343e8i | 2.56926i | ||||||||
\(396\) | 3.10605e7 | + | 3.81710e7i | 0.500177 | + | 0.614679i | ||||
\(397\) | 1.09438e7 | 0.174903 | 0.0874517 | − | 0.996169i | \(-0.472128\pi\) | ||||
0.0874517 | + | 0.996169i | \(0.472128\pi\) | |||||||
\(398\) | 8.79843e6 | − | 2.85878e6i | 0.139558 | − | 0.0453453i | ||||
\(399\) | 8.42283e7 | − | 7.63315e7i | 1.32599 | − | 1.20167i | ||||
\(400\) | 4.45272e7 | − | 3.23509e7i | 0.695738 | − | 0.505483i | ||||
\(401\) | 9.21794e7 | + | 2.99509e7i | 1.42955 | + | 0.464490i | 0.918624 | − | 0.395132i | \(-0.129301\pi\) |
0.510930 | + | 0.859622i | \(0.329301\pi\) | |||||||
\(402\) | 1.82486e7 | − | 3.18437e7i | 0.280900 | − | 0.490168i | ||||
\(403\) | 3.93764e6 | − | 2.86087e6i | 0.0601619 | − | 0.0437102i | ||||
\(404\) | 1.29280e7 | − | 1.77938e7i | 0.196058 | − | 0.269851i | ||||
\(405\) | 1.01131e8 | + | 5.66659e7i | 1.52237 | + | 0.853016i | ||||
\(406\) | −1.54190e6 | −0.0230398 | ||||||||
\(407\) | −3.76881e7 | + | 3.73833e7i | −0.559012 | + | 0.554490i | ||||
\(408\) | 6.83884e6 | − | 3.26910e7i | 0.100694 | − | 0.481335i | ||||
\(409\) | −1.74781e7 | − | 5.37921e7i | −0.255461 | − | 0.786228i | −0.993739 | − | 0.111731i | \(-0.964361\pi\) |
0.738278 | − | 0.674497i | \(-0.235639\pi\) | |||||||
\(410\) | 2.80186e6 | − | 3.85644e6i | 0.0406533 | − | 0.0559544i | ||||
\(411\) | 1.66472e7 | − | 7.47607e6i | 0.239782 | − | 0.107683i | ||||
\(412\) | 2.31469e7 | − | 7.12388e7i | 0.330979 | − | 1.01865i | ||||
\(413\) | 1.96445e7 | + | 6.38288e6i | 0.278863 | + | 0.0906080i | ||||
\(414\) | −1.00383e7 | + | 2.20130e6i | −0.141468 | + | 0.0310226i | ||||
\(415\) | 1.29256e8 | + | 9.39101e7i | 1.80845 | + | 1.31392i | ||||
\(416\) | −5.02154e6 | + | 1.63160e6i | −0.0697520 | + | 0.0226638i | ||||
\(417\) | −1.12959e7 | + | 5.39967e7i | −0.155781 | + | 0.744662i | ||||
\(418\) | −5.27194e7 | − | 8.56950e6i | −0.721841 | − | 0.117335i | ||||
\(419\) | 3.11166e7i | 0.423009i | 0.977377 | + | 0.211505i | \(0.0678364\pi\) | ||||
−0.977377 | + | 0.211505i | \(0.932164\pi\) | |||||||
\(420\) | 1.23036e7 | + | 1.13546e8i | 0.166067 | + | 1.53258i | ||||
\(421\) | 4.65757e7 | + | 3.38392e7i | 0.624184 | + | 0.453497i | 0.854381 | − | 0.519648i | \(-0.173937\pi\) |
−0.230196 | + | 0.973144i | \(0.573937\pi\) | |||||||
\(422\) | 2.90750e7 | + | 4.00183e7i | 0.386885 | + | 0.532502i | ||||
\(423\) | −5.82833e7 | − | 5.18035e7i | −0.770058 | − | 0.684444i | ||||
\(424\) | 2.10768e6 | − | 6.48678e6i | 0.0276508 | − | 0.0851003i | ||||
\(425\) | −5.55761e7 | − | 7.64939e7i | −0.723971 | − | 0.996460i | ||||
\(426\) | 4.97532e6 | − | 4.50886e6i | 0.0643564 | − | 0.0583227i | ||||
\(427\) | −4.39894e7 | − | 1.35385e8i | −0.565021 | − | 1.73895i | ||||
\(428\) | − | 8.30629e7i | − | 1.05944i | ||||||
\(429\) | −5.36069e6 | − | 2.06297e6i | −0.0678968 | − | 0.0261289i | ||||
\(430\) | 7.06476e7 | 0.888571 | ||||||||
\(431\) | −1.10184e7 | + | 3.58011e6i | −0.137622 | + | 0.0447161i | −0.377018 | − | 0.926206i | \(-0.623051\pi\) |
0.239396 | + | 0.970922i | \(0.423051\pi\) | |||||||
\(432\) | −3.21376e7 | + | 1.07861e7i | −0.398623 | + | 0.133787i | ||||
\(433\) | 4.92410e7 | − | 3.57757e7i | 0.606545 | − | 0.440681i | −0.241651 | − | 0.970363i | \(-0.577689\pi\) |
0.848196 | + | 0.529682i | \(0.177689\pi\) | |||||||
\(434\) | −4.03560e7 | − | 1.31125e7i | −0.493673 | − | 0.160404i | ||||
\(435\) | −5.65439e6 | − | 3.24036e6i | −0.0686939 | − | 0.0393664i | ||||
\(436\) | 1.64314e6 | − | 1.19381e6i | 0.0198251 | − | 0.0144038i | ||||
\(437\) | −2.50347e7 | + | 3.44573e7i | −0.299984 | + | 0.412892i | ||||
\(438\) | −539845. | − | 4.98207e6i | −0.00642461 | − | 0.0592908i | ||||
\(439\) | −7.09201e7 | −0.838255 | −0.419127 | − | 0.907928i | \(-0.637664\pi\) | ||||
−0.419127 | + | 0.907928i | \(0.637664\pi\) | |||||||
\(440\) | 8.61796e7 | − | 8.54826e7i | 1.01169 | − | 1.00351i | ||||
\(441\) | −1.90619e7 | − | 8.34038e6i | −0.222254 | − | 0.0972456i | ||||
\(442\) | 532579. | + | 1.63911e6i | 0.00616761 | + | 0.0189820i | ||||
\(443\) | −9.52462e7 | + | 1.31095e8i | −1.09556 | + | 1.50791i | −0.254421 | + | 0.967094i | \(0.581885\pi\) |
−0.841140 | + | 0.540817i | \(0.818115\pi\) | |||||||
\(444\) | −2.23742e7 | − | 4.98214e7i | −0.255623 | − | 0.569203i | ||||
\(445\) | −9.04738e7 | + | 2.78450e8i | −1.02670 | + | 3.15985i | ||||
\(446\) | 3.30333e7 | + | 1.07332e7i | 0.372347 | + | 0.120983i | ||||
\(447\) | 9.19221e7 | − | 4.12812e7i | 1.02919 | − | 0.462200i | ||||
\(448\) | 3.14461e6 | + | 2.28469e6i | 0.0349730 | + | 0.0254094i | ||||
\(449\) | 4.13085e7 | − | 1.34220e7i | 0.456353 | − | 0.148278i | −0.0718152 | − | 0.997418i | \(-0.522879\pi\) |
0.528168 | + | 0.849140i | \(0.322879\pi\) | |||||||
\(450\) | 3.40338e7 | − | 7.77840e7i | 0.373484 | − | 0.853597i | ||||
\(451\) | −3.65210e6 | + | 7.09628e6i | −0.0398120 | + | 0.0773572i | ||||
\(452\) | 6.10228e7i | 0.660810i | ||||||||
\(453\) | 1.43969e8 | − | 1.56001e7i | 1.54872 | − | 0.167816i | ||||
\(454\) | −2.04086e7 | − | 1.48277e7i | −0.218095 | − | 0.158455i | ||||
\(455\) | −7.83553e6 | − | 1.07847e7i | −0.0831829 | − | 0.114491i | ||||
\(456\) | 6.18005e7 | − | 1.07841e8i | 0.651774 | − | 1.13734i | ||||
\(457\) | −3.37792e7 | + | 1.03962e8i | −0.353917 | + | 1.08924i | 0.602718 | + | 0.797954i | \(0.294084\pi\) |
−0.956635 | + | 0.291290i | \(0.905916\pi\) | |||||||
\(458\) | 8.38600e6 | + | 1.15423e7i | 0.0872888 | + | 0.120143i | ||||
\(459\) | 1.85296e7 | + | 5.52097e7i | 0.191614 | + | 0.570922i | ||||
\(460\) | −1.32241e7 | − | 4.06996e7i | −0.135860 | − | 0.418135i | ||||
\(461\) | − | 1.53088e8i | − | 1.56257i | −0.624176 | − | 0.781284i | \(-0.714565\pi\) | ||
0.624176 | − | 0.781284i | \(-0.285435\pi\) | |||||||
\(462\) | 1.29199e7 | + | 4.83810e7i | 0.131019 | + | 0.490624i | ||||
\(463\) | 6.58998e7 | 0.663959 | 0.331979 | − | 0.943287i | \(-0.392284\pi\) | ||||
0.331979 | + | 0.943287i | \(0.392284\pi\) | |||||||
\(464\) | 1.81248e6 | − | 588910.i | 0.0181434 | − | 0.00589515i | ||||
\(465\) | −1.20435e8 | − | 1.32895e8i | −1.19783 | − | 1.32175i | ||||
\(466\) | −1.51817e7 | + | 1.10301e7i | −0.150024 | + | 0.108999i | ||||
\(467\) | −2.63332e7 | − | 8.55617e6i | −0.258555 | − | 0.0840095i | 0.176871 | − | 0.984234i | \(-0.443402\pi\) |
−0.435426 | + | 0.900224i | \(0.643402\pi\) | |||||||
\(468\) | 3.92596e6 | − | 4.41703e6i | 0.0383008 | − | 0.0430917i | ||||
\(469\) | −1.15375e8 | + | 8.38246e7i | −1.11839 | + | 0.812555i | ||||
\(470\) | −4.99823e7 | + | 6.87947e7i | −0.481418 | + | 0.662616i | ||||
\(471\) | −1.07061e8 | + | 1.16009e7i | −1.02464 | + | 0.111027i | ||||
\(472\) | 2.25859e7 | 0.214789 | ||||||||
\(473\) | −1.16901e8 | + | 1.80290e7i | −1.10467 | + | 0.170368i | ||||
\(474\) | −6.99153e7 | − | 1.46261e7i | −0.656504 | − | 0.137338i | ||||
\(475\) | −1.08736e8 | − | 3.34655e8i | −1.01459 | − | 3.12260i | ||||
\(476\) | −3.37242e7 | + | 4.64174e7i | −0.312695 | + | 0.430388i | ||||
\(477\) | 2.54746e6 | + | 1.16168e7i | 0.0234721 | + | 0.107037i | ||||
\(478\) | −1.14860e7 | + | 3.53501e7i | −0.105168 | + | 0.323674i | ||||
\(479\) | 1.30471e8 | + | 4.23926e7i | 1.18716 | + | 0.385731i | 0.835021 | − | 0.550218i | \(-0.185456\pi\) |
0.352136 | + | 0.935949i | \(0.385456\pi\) | |||||||
\(480\) | 7.97050e7 | + | 1.77482e8i | 0.720712 | + | 1.60483i | ||||
\(481\) | 5.15716e6 | + | 3.74690e6i | 0.0463421 | + | 0.0336695i | ||||
\(482\) | 3.37225e7 | − | 1.09571e7i | 0.301147 | − | 0.0978485i | ||||
\(483\) | 3.90861e7 | + | 8.17668e6i | 0.346881 | + | 0.0725664i | ||||
\(484\) | −5.34011e7 | + | 7.22589e7i | −0.470992 | + | 0.637317i | ||||
\(485\) | 1.38641e8i | 1.21526i | ||||||||
\(486\) | −3.43619e7 | + | 3.94197e7i | −0.299342 | + | 0.343403i | ||||
\(487\) | −8.74638e7 | − | 6.35461e7i | −0.757254 | − | 0.550177i | 0.140813 | − | 0.990036i | \(-0.455028\pi\) |
−0.898067 | + | 0.439859i | \(0.855028\pi\) | |||||||
\(488\) | −9.14931e7 | − | 1.25929e8i | −0.787279 | − | 1.08360i | ||||
\(489\) | −6.04076e7 | − | 3.46177e7i | −0.516612 | − | 0.296055i | ||||
\(490\) | −7.01151e6 | + | 2.15792e7i | −0.0595968 | + | 0.183420i | ||||
\(491\) | −3.35087e7 | − | 4.61208e7i | −0.283082 | − | 0.389630i | 0.643669 | − | 0.765304i | \(-0.277411\pi\) |
−0.926752 | + | 0.375674i | \(0.877411\pi\) | |||||||
\(492\) | −5.51389e6 | − | 6.08432e6i | −0.0462980 | − | 0.0510877i | ||||
\(493\) | −1.01170e6 | − | 3.11368e6i | −0.00844324 | − | 0.0259856i | ||||
\(494\) | 6.41392e6i | 0.0532038i | ||||||||
\(495\) | −5.42949e7 | + | 2.04572e8i | −0.447655 | + | 1.68667i | ||||
\(496\) | 5.24458e7 | 0.429799 | ||||||||
\(497\) | −2.48130e7 | + | 8.06223e6i | −0.202120 | + | 0.0656729i | ||||
\(498\) | −5.34046e7 | + | 4.83977e7i | −0.432405 | + | 0.391865i | ||||
\(499\) | −1.58778e7 | + | 1.15359e7i | −0.127788 | + | 0.0928432i | −0.649843 | − | 0.760068i | \(-0.725165\pi\) |
0.522055 | + | 0.852912i | \(0.325165\pi\) | |||||||
\(500\) | 1.71843e8 | + | 5.58353e7i | 1.37475 | + | 0.446682i | ||||
\(501\) | −8.11017e6 | + | 1.41522e7i | −0.0644937 | + | 0.112541i | ||||
\(502\) | −2.47569e7 | + | 1.79870e7i | −0.195698 | + | 0.142183i | ||||
\(503\) | 9.97880e7 | − | 1.37346e8i | 0.784105 | − | 1.07923i | −0.210712 | − | 0.977548i | \(-0.567578\pi\) |
0.994817 | − | 0.101680i | \(-0.0324217\pi\) | |||||||
\(504\) | −1.15971e8 | − | 1.14352e7i | −0.905853 | − | 0.0893207i | ||||
\(505\) | 9.45956e7 | 0.734508 | ||||||||
\(506\) | −8.45042e6 | − | 1.67527e7i | −0.0652269 | − | 0.129310i | ||||
\(507\) | 2.65444e7 | − | 1.26887e8i | 0.203680 | − | 0.973631i | ||||
\(508\) | 1.93846e7 | + | 5.96595e7i | 0.147865 | + | 0.455081i | ||||
\(509\) | 1.03715e8 | − | 1.42752e8i | 0.786484 | − | 1.08250i | −0.208053 | − | 0.978118i | \(-0.566713\pi\) |
0.994537 | − | 0.104385i | \(-0.0332874\pi\) | |||||||
\(510\) | 5.79328e7 | − | 2.60170e7i | 0.436731 | − | 0.196131i | ||||
\(511\) | −6.01715e6 | + | 1.85189e7i | −0.0450949 | + | 0.138788i | ||||
\(512\) | −9.79367e7 | − | 3.18216e7i | −0.729686 | − | 0.237089i | ||||
\(513\) | 2.09145e6 | + | 2.16718e8i | 0.0154916 | + | 1.60525i | ||||
\(514\) | 2.62856e6 | + | 1.90976e6i | 0.0193566 | + | 0.0140634i | ||||
\(515\) | 3.06391e8 | − | 9.95525e7i | 2.24313 | − | 0.728837i | ||||
\(516\) | 2.49186e7 | − | 1.19116e8i | 0.181374 | − | 0.867001i | ||||
\(517\) | 6.51497e7 | − | 1.26590e8i | 0.471455 | − | 0.916069i | ||||
\(518\) | − | 5.55746e7i | − | 0.399841i | ||||||
\(519\) | 9.87834e6 | + | 9.11643e7i | 0.0706614 | + | 0.652113i | ||||
\(520\) | −1.17926e7 | − | 8.56786e6i | −0.0838689 | − | 0.0609343i | ||||
\(521\) | −3.63593e7 | − | 5.00442e7i | −0.257100 | − | 0.353868i | 0.660882 | − | 0.750490i | \(-0.270182\pi\) |
−0.917982 | + | 0.396622i | \(0.870182\pi\) | |||||||
\(522\) | 1.95305e6 | − | 2.19735e6i | 0.0137310 | − | 0.0154485i | ||||
\(523\) | 4.41511e7 | − | 1.35883e8i | 0.308629 | − | 0.949863i | −0.669669 | − | 0.742660i | \(-0.733564\pi\) |
0.978298 | − | 0.207203i | \(-0.0664360\pi\) | |||||||
\(524\) | 1.17170e8 | + | 1.61270e8i | 0.814368 | + | 1.12088i | ||||
\(525\) | −2.44457e8 | + | 2.21538e8i | −1.68937 | + | 1.53098i | ||||
\(526\) | 546047. | + | 1.68056e6i | 0.00375209 | + | 0.0115477i | ||||
\(527\) | − | 9.00974e7i | − | 0.615574i | ||||||
\(528\) | −3.36656e7 | − | 5.19363e7i | −0.228710 | − | 0.352833i | ||||
\(529\) | 1.33074e8 | 0.898927 | ||||||||
\(530\) | 1.23344e7 | − | 4.00770e6i | 0.0828498 | − | 0.0269195i | ||||
\(531\) | −3.39788e7 | + | 1.99102e7i | −0.226947 | + | 0.132982i | ||||
\(532\) | −1.72744e8 | + | 1.25506e8i | −1.14727 | + | 0.833544i | ||||
\(533\) | 911484. | + | 296159.i | 0.00601960 | + | 0.00195589i | ||||
\(534\) | −1.14590e8 | − | 6.56683e7i | −0.752532 | − | 0.431253i | ||||
\(535\) | 2.89018e8 | − | 2.09984e8i | 1.88740 | − | 1.37127i | ||||
\(536\) | −9.16590e7 | + | 1.26158e8i | −0.595225 | + | 0.819256i | ||||
\(537\) | 1.28809e7 | + | 1.18874e8i | 0.0831810 | + | 0.767652i | ||||
\(538\) | −7.96849e7 | −0.511716 | ||||||||
\(539\) | 6.09503e6 | − | 3.74965e7i | 0.0389233 | − | 0.239455i | ||||
\(540\) | −1.77397e8 | − | 1.26289e8i | −1.12659 | − | 0.802020i | ||||
\(541\) | −314786. | − | 968811.i | −0.00198803 | − | 0.00611853i | 0.950058 | − | 0.312075i | \(-0.101024\pi\) |
−0.952046 | + | 0.305956i | \(0.901024\pi\) | |||||||
\(542\) | −2.21156e7 | + | 3.04396e7i | −0.138900 | + | 0.191179i | ||||
\(543\) | 84296.6 | + | 187706.i | 0.000526514 | + | 0.00117241i | ||||
\(544\) | −3.02027e7 | + | 9.29544e7i | −0.187607 | + | 0.577396i | ||||
\(545\) | 8.30775e6 | + | 2.69935e6i | 0.0513208 | + | 0.0166751i | ||||
\(546\) | 5.48566e6 | − | 2.46355e6i | 0.0337016 | − | 0.0151350i | ||||
\(547\) | 1.28221e8 | + | 9.31579e7i | 0.783423 | + | 0.569190i | 0.906004 | − | 0.423268i | \(-0.139117\pi\) |
−0.122581 | + | 0.992458i | \(0.539117\pi\) | |||||||
\(548\) | −3.26017e7 | + | 1.05929e7i | −0.198107 | + | 0.0643687i | ||||
\(549\) | 2.48655e8 | + | 1.08797e8i | 1.50273 | + | 0.657506i | ||||
\(550\) | 1.53008e8 | + | 2.48714e7i | 0.919658 | + | 0.149490i | ||||
\(551\) | − | 1.21840e7i | − | 0.0728341i | ||||||
\(552\) | 4.34103e7 | − | 4.70383e6i | 0.258092 | − | 0.0279663i | ||||
\(553\) | 2.24541e8 | + | 1.63138e8i | 1.32776 | + | 0.964673i | ||||
\(554\) | −3.73209e7 | − | 5.13678e7i | −0.219494 | − | 0.302108i | ||||
\(555\) | 1.16792e8 | − | 2.03800e8i | 0.683176 | − | 1.19214i | ||||
\(556\) | 3.20220e7 | − | 9.85537e7i | 0.186305 | − | 0.573388i | ||||
\(557\) | −6.05923e7 | − | 8.33981e7i | −0.350632 | − | 0.482604i | 0.596877 | − | 0.802333i | \(-0.296408\pi\) |
−0.947509 | + | 0.319729i | \(0.896408\pi\) | |||||||
\(558\) | 6.98032e7 | − | 4.09019e7i | 0.401766 | − | 0.235419i | ||||
\(559\) | 4.38929e6 | + | 1.35088e7i | 0.0251281 | + | 0.0773362i | ||||
\(560\) | − | 1.43642e8i | − | 0.817933i | ||||||
\(561\) | −8.92221e7 | + | 5.78346e7i | −0.505340 | + | 0.327566i | ||||
\(562\) | −4.77877e7 | −0.269220 | ||||||||
\(563\) | −1.20241e8 | + | 3.90686e7i | −0.673794 | + | 0.218929i | −0.625876 | − | 0.779922i | \(-0.715259\pi\) |
−0.0479177 | + | 0.998851i | \(0.515259\pi\) | |||||||
\(564\) | 9.83619e7 | + | 1.08538e8i | 0.548264 | + | 0.604984i | ||||
\(565\) | −2.12329e8 | + | 1.54266e8i | −1.17724 | + | 0.855314i | ||||
\(566\) | 1.22924e8 | + | 3.99405e7i | 0.677936 | + | 0.220275i | ||||
\(567\) | 1.84550e8 | − | 8.50287e7i | 1.01243 | − | 0.466462i | ||||
\(568\) | −2.30799e7 | + | 1.67686e7i | −0.125947 | + | 0.0915062i | ||||
\(569\) | −1.68568e8 | + | 2.32014e8i | −0.915035 | + | 1.25944i | 0.0503828 | + | 0.998730i | \(0.483956\pi\) |
−0.965418 | + | 0.260708i | \(0.916044\pi\) | |||||||
\(570\) | 2.34967e8 | − | 2.54604e7i | 1.26877 | − | 0.137480i | ||||
\(571\) | −1.02775e8 | −0.552049 | −0.276025 | − | 0.961151i | \(-0.589017\pi\) | ||||
−0.276025 | + | 0.961151i | \(0.589017\pi\) | |||||||
\(572\) | 9.59370e6 | + | 4.93740e6i | 0.0512623 | + | 0.0263822i | ||||
\(573\) | −9.42762e7 | − | 1.97223e7i | −0.501116 | − | 0.104832i | ||||
\(574\) | −2.58195e6 | − | 7.94643e6i | −0.0136525 | − | 0.0420181i | ||||
\(575\) | 7.26585e7 | − | 1.00006e8i | 0.382193 | − | 0.526044i | ||||
\(576\) | −7.23899e6 | + | 1.58744e6i | −0.0378801 | + | 0.00830672i | ||||
\(577\) | −6.60850e6 | + | 2.03389e7i | −0.0344013 | + | 0.105876i | −0.966783 | − | 0.255600i | \(-0.917727\pi\) |
0.932381 | + | 0.361476i | \(0.117727\pi\) | |||||||
\(578\) | −5.33209e7 | − | 1.73250e7i | −0.276130 | − | 0.0897201i | ||||
\(579\) | −5.48247e7 | − | 1.22080e8i | −0.282449 | − | 0.628939i | ||||
\(580\) | 9.90393e6 | + | 7.19563e6i | 0.0507602 | + | 0.0368795i | ||||
\(581\) | 2.66341e8 | − | 8.65394e7i | 1.35803 | − | 0.441251i | ||||
\(582\) | −6.12161e7 | − | 1.28062e7i | −0.310525 | − | 0.0649608i | ||||
\(583\) | −1.93871e7 | + | 9.77925e6i | −0.0978377 | + | 0.0493515i | ||||
\(584\) | 2.12918e7i | 0.106899i | ||||||||
\(585\) | 2.52939e7 | + | 2.49408e6i | 0.126342 | + | 0.0124579i | ||||
\(586\) | 3.09485e7 | + | 2.24854e7i | 0.153797 | + | 0.111740i | ||||
\(587\) | −1.76594e8 | − | 2.43061e8i | −0.873096 | − | 1.20171i | −0.978286 | − | 0.207261i | \(-0.933545\pi\) |
0.105190 | − | 0.994452i | \(-0.466455\pi\) | |||||||
\(588\) | 3.39106e7 | + | 1.94331e7i | 0.166803 | + | 0.0955895i | ||||
\(589\) | 1.03613e8 | − | 3.18890e8i | 0.507073 | − | 1.56061i | ||||
\(590\) | 2.52434e7 | + | 3.47445e7i | 0.122911 | + | 0.169173i | ||||
\(591\) | −1.71206e7 | − | 1.88918e7i | −0.0829388 | − | 0.0915191i | ||||
\(592\) | 2.12260e7 | + | 6.53268e7i | 0.102306 | + | 0.314866i | ||||
\(593\) | 2.18279e8i | 1.04676i | 0.852099 | + | 0.523380i | \(0.175329\pi\) | ||||
−0.852099 | + | 0.523380i | \(0.824671\pi\) | |||||||
\(594\) | −8.53121e7 | − | 4.28697e7i | −0.407053 | − | 0.204546i | ||||
\(595\) | −2.46765e8 | −1.17147 | ||||||||
\(596\) | −1.80019e8 | + | 5.84918e7i | −0.850316 | + | 0.276284i | ||||
\(597\) | 5.07858e7 | − | 4.60244e7i | 0.238682 | − | 0.216304i | ||||
\(598\) | −1.82288e6 | + | 1.32440e6i | −0.00852421 | + | 0.00619320i | ||||
\(599\) | 1.38399e8 | + | 4.49685e7i | 0.643950 | + | 0.209232i | 0.612744 | − | 0.790281i | \(-0.290066\pi\) |
0.0312051 | + | 0.999513i | \(0.490066\pi\) | |||||||
\(600\) | −1.79364e8 | + | 3.12989e8i | −0.830390 | + | 1.44902i | ||||
\(601\) | −1.77249e8 | + | 1.28779e8i | −0.816509 | + | 0.593228i | −0.915710 | − | 0.401839i | \(-0.868371\pi\) |
0.0992017 | + | 0.995067i | \(0.468371\pi\) | |||||||
\(602\) | 7.27870e7 | − | 1.00183e8i | 0.333629 | − | 0.459201i | ||||
\(603\) | 2.66817e7 | − | 2.70595e8i | 0.121692 | − | 1.23415i | ||||
\(604\) | −2.72020e8 | −1.23450 | ||||||||
\(605\) | −3.86424e8 | − | 3.13811e6i | −1.74501 | − | 0.0141711i | ||||
\(606\) | −8.73773e6 | + | 4.17680e7i | −0.0392628 | + | 0.187683i | ||||
\(607\) | 6.52798e7 | + | 2.00911e8i | 0.291886 | + | 0.898332i | 0.984250 | + | 0.176783i | \(0.0565692\pi\) |
−0.692364 | + | 0.721548i | \(0.743431\pi\) | |||||||
\(608\) | −2.13798e8 | + | 2.94268e8i | −0.951247 | + | 1.30928i | ||||
\(609\) | −1.04206e7 | + | 4.67979e6i | −0.0461363 | + | 0.0207193i | ||||
\(610\) | 9.14623e7 | − | 2.81492e8i | 0.402952 | − | 1.24016i | ||||
\(611\) | −1.62599e7 | − | 5.28317e6i | −0.0712844 | − | 0.0231617i | ||||
\(612\) | −2.34321e7 | − | 1.06854e8i | −0.102225 | − | 0.466163i | ||||
\(613\) | −2.06810e8 | − | 1.50256e8i | −0.897820 | − | 0.652305i | 0.0400849 | − | 0.999196i | \(-0.487237\pi\) |
−0.937905 | + | 0.346892i | \(0.887237\pi\) | |||||||
\(614\) | −290716. | + | 94459.5i | −0.00125593 | + | 0.000408075i | ||||
\(615\) | 7.23126e6 | − | 3.45668e7i | 0.0310877 | − | 0.148605i | ||||
\(616\) | −3.24303e7 | − | 2.10279e8i | −0.138742 | − | 0.899610i | ||||
\(617\) | − | 2.58334e8i | − | 1.09983i | −0.835221 | − | 0.549915i | \(-0.814660\pi\) | ||
0.835221 | − | 0.549915i | \(-0.185340\pi\) | |||||||
\(618\) | 1.56556e7 | + | 1.44480e8i | 0.0663289 | + | 0.612130i | ||||
\(619\) | 2.16921e7 | + | 1.57602e7i | 0.0914597 | + | 0.0664494i | 0.632575 | − | 0.774499i | \(-0.281998\pi\) |
−0.541116 | + | 0.840948i | \(0.681998\pi\) | |||||||
\(620\) | 1.98022e8 | + | 2.72554e8i | 0.830880 | + | 1.14361i | ||||
\(621\) | −6.11608e7 | + | 4.53441e7i | −0.255387 | + | 0.189341i | ||||
\(622\) | 3.75240e7 | − | 1.15487e8i | 0.155933 | − | 0.479913i | ||||
\(623\) | 3.01645e8 | + | 4.15179e8i | 1.24748 | + | 1.71701i | ||||
\(624\) | −5.50736e6 | + | 4.99102e6i | −0.0226668 | + | 0.0205417i | ||||
\(625\) | 8.58408e7 | + | 2.64191e8i | 0.351604 | + | 1.08213i | ||||
\(626\) | − | 1.83263e7i | − | 0.0747055i | ||||||
\(627\) | −3.82302e8 | + | 1.02092e8i | −1.55097 | + | 0.414180i | ||||
\(628\) | 2.02286e8 | 0.816745 | ||||||||
\(629\) | 1.12226e8 | − | 3.64644e7i | 0.450963 | − | 0.146527i | ||||
\(630\) | −1.12025e8 | − | 1.91182e8i | −0.448015 | − | 0.764583i | ||||
\(631\) | −1.05284e7 | + | 7.64930e6i | −0.0419056 | + | 0.0304462i | −0.608541 | − | 0.793523i | \(-0.708245\pi\) |
0.566635 | + | 0.823969i | \(0.308245\pi\) | |||||||
\(632\) | 2.88634e8 | + | 9.37828e7i | 1.14339 | + | 0.371511i | ||||
\(633\) | 3.17956e8 | + | 1.82211e8i | 1.25359 | + | 0.718394i | ||||
\(634\) | −1.37943e8 | + | 1.00221e8i | −0.541291 | + | 0.393271i | ||||
\(635\) | −1.58581e8 | + | 2.18268e8i | −0.619343 | + | 0.852452i | ||||
\(636\) | −2.40663e6 | − | 2.22101e7i | −0.00935488 | − | 0.0863334i | ||||
\(637\) | −4.56187e6 | −0.0176492 | ||||||||
\(638\) | 4.77259e6 | + | 2.45621e6i | 0.0183777 | + | 0.00945811i | ||||
\(639\) | 1.99399e7 | − | 4.55727e7i | 0.0764225 | − | 0.174663i | ||||
\(640\) | −1.40013e8 | − | 4.30916e8i | −0.534107 | − | 1.64381i | ||||
\(641\) | 2.21951e8 | − | 3.05489e8i | 0.842719 | − | 1.15990i | −0.142702 | − | 0.989766i | \(-0.545579\pi\) |
0.985420 | − | 0.170137i | \(-0.0544210\pi\) | |||||||
\(642\) | 6.60204e7 | + | 1.47010e8i | 0.249502 | + | 0.555573i | ||||
\(643\) | 6.63646e7 | − | 2.04249e8i | 0.249634 | − | 0.768295i | −0.745206 | − | 0.666835i | \(-0.767649\pi\) |
0.994840 | − | 0.101460i | \(-0.0323513\pi\) | |||||||
\(644\) | −7.13391e7 | − | 2.31795e7i | −0.267098 | − | 0.0867853i | ||||
\(645\) | 4.77458e8 | − | 2.14421e8i | 1.77933 | − | 0.799076i | ||||
\(646\) | 9.60538e7 | + | 6.97871e7i | 0.356301 | + | 0.258868i | ||||
\(647\) | −3.34219e8 | + | 1.08594e8i | −1.23401 | + | 0.400954i | −0.852165 | − | 0.523273i | \(-0.824711\pi\) |
−0.381844 | + | 0.924227i | \(0.624711\pi\) | |||||||
\(648\) | 1.63190e8 | − | 1.50784e8i | 0.599749 | − | 0.554155i | ||||
\(649\) | −5.06369e7 | − | 5.10498e7i | −0.185239 | − | 0.186750i | ||||
\(650\) | − | 1.86152e7i | − | 0.0677841i | ||||||
\(651\) | −3.12535e8 | + | 3.38656e7i | −1.13281 | + | 0.122748i | ||||
\(652\) | 1.05807e8 | + | 7.68731e7i | 0.381742 | + | 0.277352i | ||||
\(653\) | −1.93093e8 | − | 2.65770e8i | −0.693471 | − | 0.954480i | −0.999997 | − | 0.00261804i | \(-0.999167\pi\) |
0.306526 | − | 0.951862i | \(-0.400833\pi\) | |||||||
\(654\) | −1.95926e6 | + | 3.41889e6i | −0.00700420 | + | 0.0122223i | ||||
\(655\) | −2.64934e8 | + | 8.15384e8i | −0.942789 | + | 2.90161i | ||||
\(656\) | 6.07007e6 | + | 8.35473e6i | 0.0215022 | + | 0.0295952i | ||||
\(657\) | −1.87694e7 | − | 3.20318e7i | −0.0661841 | − | 0.112950i | ||||
\(658\) | 4.60593e7 | + | 1.41756e8i | 0.161674 | + | 0.497581i | ||||
\(659\) | 6.06012e7i | 0.211751i | 0.994379 | + | 0.105875i | \(0.0337645\pi\) | ||||
−0.994379 | + | 0.105875i | \(0.966236\pi\) | |||||||
\(660\) | 1.42793e8 | − | 3.71054e8i | 0.496680 | − | 1.29064i | ||||
\(661\) | −5.22966e7 | −0.181080 | −0.0905398 | − | 0.995893i | \(-0.528859\pi\) | ||||
−0.0905398 | + | 0.995893i | \(0.528859\pi\) | |||||||
\(662\) | 1.63735e8 | − | 5.32009e7i | 0.564376 | − | 0.183377i | ||||
\(663\) | 8.57415e6 | + | 9.46117e6i | 0.0294205 | + | 0.0324642i | ||||
\(664\) | 2.47738e8 | − | 1.79992e8i | 0.846231 | − | 0.614822i | ||||
\(665\) | −8.73395e8 | − | 2.83783e8i | −2.96993 | − | 0.964988i | ||||
\(666\) | 7.91986e7 | + | 7.03934e7i | 0.268099 | + | 0.238292i | ||||
\(667\) | 3.46277e6 | − | 2.51585e6i | 0.0116693 | − | 0.00847827i | ||||
\(668\) | 1.80097e7 | − | 2.47882e7i | 0.0604194 | − | 0.0831602i | ||||
\(669\) | 2.55825e8 | − | 2.77206e7i | 0.854406 | − | 0.0925815i | ||||
\(670\) | −2.96515e8 | −0.985877 | ||||||||
\(671\) | −7.95072e7 | + | 4.89127e8i | −0.263172 | + | 1.61903i | ||||
\(672\) | 3.33798e8 | + | 6.98296e7i | 1.09996 | + | 0.230108i | ||||
\(673\) | 3.37658e7 | + | 1.03920e8i | 0.110773 | + | 0.340923i | 0.991042 | − | 0.133552i | \(-0.0426382\pi\) |
−0.880269 | + | 0.474474i | \(0.842638\pi\) | |||||||
\(674\) | −5.15954e7 | + | 7.10150e7i | −0.168512 | + | 0.231937i | ||||
\(675\) | −6.07005e6 | − | 6.28983e8i | −0.0197370 | − | 2.04516i | ||||
\(676\) | −7.52488e7 | + | 2.31592e8i | −0.243590 | + | 0.749693i | ||||
\(677\) | 1.95576e8 | + | 6.35465e7i | 0.630303 | + | 0.204798i | 0.606709 | − | 0.794924i | \(-0.292489\pi\) |
0.0235936 | + | 0.999722i | \(0.492489\pi\) | |||||||
\(678\) | −4.85024e7 | − | 1.08002e8i | −0.155623 | − | 0.346531i | ||||
\(679\) | 1.96602e8 | + | 1.42840e8i | 0.628027 | + | 0.456289i | ||||
\(680\) | −2.56622e8 | + | 8.33814e7i | −0.816143 | + | 0.265181i | ||||
\(681\) | −1.82931e8 | − | 3.82685e7i | −0.579223 | − | 0.121172i | ||||
\(682\) | 1.04024e8 | + | 1.04873e8i | 0.327931 | + | 0.330604i | ||||
\(683\) | 2.76878e8i | 0.869015i | 0.900668 | + | 0.434507i | \(0.143077\pi\) | ||||
−0.900668 | + | 0.434507i | \(0.856923\pi\) | |||||||
\(684\) | 3.99490e7 | − | 4.05146e8i | 0.124835 | − | 1.26603i | ||||
\(685\) | −1.19276e8 | − | 8.66588e7i | −0.371091 | − | 0.269613i | ||||
\(686\) | −7.29835e7 | − | 1.00453e8i | −0.226075 | − | 0.311165i | ||||
\(687\) | 9.17070e7 | + | 5.25544e7i | 0.282834 | + | 0.162084i | ||||
\(688\) | −4.72962e7 | + | 1.45563e8i | −0.145232 | + | 0.446977i | ||||
\(689\) | 1.53266e6 | + | 2.10953e6i | 0.00468585 | + | 0.00644952i | ||||
\(690\) | 5.57539e7 | + | 6.15218e7i | 0.169718 | + | 0.187276i | ||||
\(691\) | −1.63747e8 | − | 5.03962e8i | −0.496295 | − | 1.52744i | −0.814929 | − | 0.579561i | \(-0.803224\pi\) |
0.318634 | − | 0.947878i | \(-0.396776\pi\) | |||||||
\(692\) | − | 1.72249e8i | − | 0.519804i | ||||||
\(693\) | 2.34157e8 | + | 2.87760e8i | 0.703569 | + | 0.864632i | ||||
\(694\) | 2.08443e8 | 0.623605 | ||||||||
\(695\) | 4.23870e8 | − | 1.37724e8i | 1.26264 | − | 0.410255i | ||||
\(696\) | −9.25560e6 | + | 8.38785e6i | −0.0274522 | + | 0.0248784i | ||||
\(697\) | 1.43527e7 | − | 1.04279e7i | 0.0423873 | − | 0.0307962i | ||||
\(698\) | −1.97307e8 | − | 6.41088e7i | −0.580197 | − | 0.188517i | ||||
\(699\) | −6.91250e7 | + | 1.20622e8i | −0.202397 | + | 0.353180i | ||||
\(700\) | 5.01357e8 | − | 3.64257e8i | 1.46168 | − | 1.06197i | ||||
\(701\) | 2.46337e8 | − | 3.39053e8i | 0.715114 | − | 0.984269i | −0.284558 | − | 0.958659i | \(-0.591847\pi\) |
0.999672 | − | 0.0256108i | \(-0.00815305\pi\) | |||||||
\(702\) | −3.43763e6 | + | 1.09380e7i | −0.00993682 | + | 0.0316174i | ||||
\(703\) | 4.39145e8 | 1.26399 | ||||||||
\(704\) | −6.09391e6 | − | 1.20810e7i | −0.0174654 | − | 0.0346246i | ||||
\(705\) | −1.28998e8 | + | 6.16635e8i | −0.368143 | + | 1.75979i | ||||
\(706\) | −2.06770e7 | − | 6.36372e7i | −0.0587588 | − | 0.180841i | ||||
\(707\) | 9.74602e7 | − | 1.34142e8i | 0.275784 | − | 0.379584i | ||||
\(708\) | 6.74848e7 | − | 3.03067e7i | 0.190154 | − | 0.0853961i | ||||
\(709\) | 2.93434e7 | − | 9.03097e7i | 0.0823326 | − | 0.253394i | −0.901413 | − | 0.432960i | \(-0.857469\pi\) |
0.983746 | + | 0.179566i | \(0.0574693\pi\) | |||||||
\(710\) | −5.15910e7 | − | 1.67629e7i | −0.144145 | − | 0.0468354i | ||||
\(711\) | −5.16900e8 | + | 1.13351e8i | −1.43813 | + | 0.315367i | ||||
\(712\) | 4.53983e8 | + | 3.29838e8i | 1.25777 | + | 0.913820i | ||||
\(713\) | 1.12026e8 | − | 3.63993e7i | 0.309064 | − | 0.100421i | ||||
\(714\) | 2.27935e7 | − | 1.08957e8i | 0.0626204 | − | 0.299337i | ||||
\(715\) | 7.07323e6 | + | 4.58631e7i | 0.0193508 | + | 0.125472i | ||||
\(716\) | − | 2.24605e8i | − | 0.611901i | ||||||
\(717\) | 2.96648e7 | + | 2.73767e8i | 0.0804793 | + | 0.742719i | ||||
\(718\) | −4.77924e7 | − | 3.47232e7i | −0.129118 | − | 0.0938095i | ||||
\(719\) | 4.15239e8 | + | 5.71528e8i | 1.11715 | + | 1.53763i | 0.810438 | + | 0.585824i | \(0.199229\pi\) |
0.306712 | + | 0.951802i | \(0.400771\pi\) | |||||||
\(720\) | 2.04702e8 | + | 1.81944e8i | 0.548435 | + | 0.487461i | ||||
\(721\) | 1.74498e8 | − | 5.37049e8i | 0.465569 | − | 1.43287i | ||||
\(722\) | 1.58936e8 | + | 2.18756e8i | 0.422289 | + | 0.581230i | ||||
\(723\) | 1.94651e8 | − | 1.76402e8i | 0.515041 | − | 0.466753i | ||||
\(724\) | −119441. | − | 367601.i | −0.000314729 | − | 0.000968637i | ||||
\(725\) | 3.53617e7i | 0.0927939i | ||||||||
\(726\) | 3.70793e7 | − | 1.70333e8i | 0.0968995 | − | 0.445131i | ||||
\(727\) | 2.90755e8 | 0.756700 | 0.378350 | − | 0.925663i | \(-0.376492\pi\) | ||||
0.378350 | + | 0.925663i | \(0.376492\pi\) | |||||||
\(728\) | −2.42995e7 | + | 7.89539e6i | −0.0629801 | + | 0.0204635i | ||||
\(729\) | −1.12586e8 | + | 3.70701e8i | −0.290605 | + | 0.956843i | ||||
\(730\) | −3.27537e7 | + | 2.37969e7i | −0.0841960 | + | 0.0611720i | ||||
\(731\) | 2.50064e8 | + | 8.12508e7i | 0.640176 | + | 0.208006i | ||||
\(732\) | −4.42350e8 | − | 2.53497e8i | −1.12780 | − | 0.646309i | ||||
\(733\) | −3.44314e8 | + | 2.50158e8i | −0.874263 | + | 0.635190i | −0.931728 | − | 0.363158i | \(-0.881699\pi\) |
0.0574642 | + | 0.998348i | \(0.481699\pi\) | |||||||
\(734\) | −1.36534e8 | + | 1.87923e8i | −0.345265 | + | 0.475217i | ||||
\(735\) | 1.81086e7 | + | 1.67119e8i | 0.0456062 | + | 0.420886i | ||||
\(736\) | −1.27780e8 | −0.320501 | ||||||||
\(737\) | 4.90644e8 | − | 7.56696e7i | 1.22564 | − | 0.189025i | ||||
\(738\) | 1.45948e7 | + | 6.38582e6i | 0.0363102 | + | 0.0158872i | ||||
\(739\) | 1.64586e8 | + | 5.06545e8i | 0.407813 | + | 1.25512i | 0.918524 | + | 0.395366i | \(0.129382\pi\) |
−0.510711 | + | 0.859752i | \(0.670618\pi\) | |||||||
\(740\) | −2.59351e8 | + | 3.56966e8i | −0.640018 | + | 0.880909i | ||||
\(741\) | 1.94667e7 | + | 4.33472e7i | 0.0478452 | + | 0.106538i | ||||
\(742\) | 7.02478e6 | − | 2.16201e7i | 0.0171957 | − | 0.0529231i | ||||
\(743\) | −1.94701e8 | − | 6.32621e7i | −0.474680 | − | 0.154233i | 0.0618998 | − | 0.998082i | \(-0.480284\pi\) |
−0.536580 | + | 0.843849i | \(0.680284\pi\) | |||||||
\(744\) | −3.13576e8 | + | 1.40824e8i | −0.761420 | + | 0.341945i | ||||
\(745\) | −6.58613e8 | − | 4.78510e8i | −1.59280 | − | 1.15724i | ||||
\(746\) | −3.49295e8 | + | 1.13493e8i | −0.841348 | + | 0.273371i | ||||
\(747\) | −2.14034e8 | + | 4.89173e8i | −0.513476 | + | 1.17355i | ||||
\(748\) | 1.78327e8 | − | 8.99519e7i | 0.426100 | − | 0.214934i | ||||
\(749\) | − | 6.26188e8i | − | 1.49025i | ||||||
\(750\) | −3.48518e8 | + | 3.77646e7i | −0.826117 | + | 0.0895161i | ||||
\(751\) | −3.66505e8 | − | 2.66282e8i | −0.865287 | − | 0.628668i | 0.0640309 | − | 0.997948i | \(-0.479604\pi\) |
−0.929318 | + | 0.369280i | \(0.879604\pi\) | |||||||
\(752\) | −1.08284e8 | − | 1.49040e8i | −0.254630 | − | 0.350468i | ||||
\(753\) | −1.12723e8 | + | 1.96700e8i | −0.264014 | + | 0.460702i | ||||
\(754\) | 199181. | − | 613017.i | 0.000464659 | − | 0.00143007i | ||||
\(755\) | −6.87668e8 | − | 9.46494e8i | −1.59786 | − | 2.19926i | ||||
\(756\) | −3.61855e8 | + | 1.21447e8i | −0.837471 | + | 0.281074i | ||||
\(757\) | −1.82178e8 | − | 5.60687e8i | −0.419961 | − | 1.29251i | −0.907737 | − | 0.419539i | \(-0.862192\pi\) |
0.487776 | − | 0.872969i | \(-0.337808\pi\) | |||||||
\(758\) | 2.74316e7i | 0.0629860i | ||||||||
\(759\) | −1.07956e8 | − | 8.75721e7i | −0.246901 | − | 0.200281i | ||||
\(760\) | −1.00417e9 | −2.28754 | ||||||||
\(761\) | 1.96925e8 | − | 6.39848e7i | 0.446835 | − | 0.145185i | −0.0769520 | − | 0.997035i | \(-0.524519\pi\) |
0.523787 | + | 0.851849i | \(0.324519\pi\) | |||||||
\(762\) | −8.17268e7 | − | 9.01818e7i | −0.184714 | − | 0.203823i | ||||
\(763\) | 1.23872e7 | − | 8.99980e6i | 0.0278868 | − | 0.0202609i | ||||
\(764\) | 1.72071e8 | + | 5.59092e7i | 0.385858 | + | 0.125373i | ||||
\(765\) | 3.12564e8 | − | 3.51661e8i | 0.698159 | − | 0.785488i | ||||
\(766\) | −6.97810e7 | + | 5.06988e7i | −0.155257 | + | 0.112801i | ||||
\(767\) | −5.07530e6 | + | 6.98555e6i | −0.0112480 | + | 0.0154815i | ||||
\(768\) | 2.20665e8 | − | 2.39108e7i | 0.487136 | − | 0.0527849i | ||||
\(769\) | 2.79594e8 | 0.614822 | 0.307411 | − | 0.951577i | \(-0.400537\pi\) | ||||
0.307411 | + | 0.951577i | \(0.400537\pi\) | |||||||
\(770\) | 2.87232e8 | − | 2.84909e8i | 0.629159 | − | 0.624070i | ||||
\(771\) | 2.35609e7 | + | 4.92886e6i | 0.0514077 | + | 0.0107543i | ||||
\(772\) | 7.76818e7 | + | 2.39080e8i | 0.168837 | + | 0.519626i | ||||
\(773\) | 1.37905e8 | − | 1.89811e8i | 0.298568 | − | 0.410943i | −0.633206 | − | 0.773984i | \(-0.718261\pi\) |
0.931773 | + | 0.363040i | \(0.118261\pi\) | |||||||
\(774\) | 5.05735e7 | + | 2.30624e8i | 0.109069 | + | 0.497372i | ||||
\(775\) | −3.00719e8 | + | 9.25517e8i | −0.646034 | + | 1.98829i | ||||
\(776\) | 2.52721e8 | + | 8.21139e7i | 0.540823 | + | 0.175724i | ||||
\(777\) | −1.68673e8 | − | 3.75590e8i | −0.359569 | − | 0.800664i | ||||
\(778\) | −1.68445e8 | − | 1.22382e8i | −0.357700 | − | 0.259884i | ||||
\(779\) | 6.27920e7 | − | 2.04024e7i | 0.132829 | − | 0.0431587i | ||||
\(780\) | −4.67320e7 | − | 9.77619e6i | −0.0984761 | − | 0.0206009i | ||||
\(781\) | 8.96455e7 | + | 1.45718e7i | 0.188181 | + | 0.0305887i | ||||
\(782\) | 4.17094e7i | 0.0872195i | ||||||||
\(783\) | 6.53018e6 | − | 2.07780e7i | 0.0136032 | − | 0.0432830i | ||||
\(784\) | −3.97679e7 | − | 2.88931e7i | −0.0825249 | − | 0.0599578i | ||||
\(785\) | 5.11380e8 | + | 7.03854e8i | 1.05715 | + | 1.45504i | ||||
\(786\) | −3.35555e8 | − | 1.92296e8i | −0.691029 | − | 0.396007i | ||||
\(787\) | 7.07075e7 | − | 2.17615e8i | 0.145058 | − | 0.446442i | −0.851961 | − | 0.523606i | \(-0.824586\pi\) |
0.997018 | + | 0.0771638i | \(0.0245864\pi\) | |||||||
\(788\) | 2.81501e7 | + | 3.87453e7i | 0.0575309 | + | 0.0791844i | ||||
\(789\) | 8.79097e6 | + | 9.70043e6i | 0.0178981 | + | 0.0197497i | ||||
\(790\) | 1.78326e8 | + | 5.48830e8i | 0.361687 | + | 1.11316i | ||||
\(791\) | 4.60034e8i | 0.929523i | ||||||||
\(792\) | 3.40744e8 | + | 2.20134e8i | 0.685887 | + | 0.443109i | ||||
\(793\) | 5.95079e7 | 0.119331 | ||||||||
\(794\) | 3.79322e7 | − | 1.23249e7i | 0.0757786 | − | 0.0246220i | ||||
\(795\) | 7.11961e7 | − | 6.45212e7i | 0.141695 | − | 0.128411i | ||||
\(796\) | −1.04157e8 | + | 7.56742e7i | −0.206513 | + | 0.150040i | ||||
\(797\) | −1.65547e8 | − | 5.37896e7i | −0.327000 | − | 0.106249i | 0.140916 | − | 0.990021i | \(-0.454995\pi\) |
−0.467916 | + | 0.883773i | \(0.654995\pi\) | |||||||
\(798\) | 2.05977e8 | − | 3.59429e8i | 0.405332 | − | 0.707300i | ||||
\(799\) | −2.56037e8 | + | 1.86022e8i | −0.501953 | + | 0.364690i | ||||
\(800\) | 6.20510e8 | − | 8.54058e8i | 1.21193 | − | 1.66808i | ||||
\(801\) | −9.73745e8 | − | 9.60151e7i | −1.89473 | − | 0.186828i | ||||
\(802\) | 3.53231e8 | 0.684757 | ||||||||
\(803\) | 4.81247e7 | − | 4.77355e7i | 0.0929440 | − | 0.0921923i | ||||
\(804\) | −1.04586e8 | + | 4.99940e8i | −0.201236 | + | 0.961944i | ||||
\(805\) | −9.96928e7 | − | 3.06823e8i | −0.191107 | − | 0.588166i | ||||
\(806\) | 1.04263e7 | − | 1.43505e7i | 0.0199124 | − | 0.0274071i | ||||
\(807\) | −5.38534e8 | + | 2.41850e8i | −1.02469 | + | 0.460177i | ||||
\(808\) | 5.60267e7 | − | 1.72432e8i | 0.106209 | − | 0.326877i | ||||
\(809\) | −8.08144e8 | − | 2.62582e8i | −1.52631 | − | 0.495929i | −0.578751 | − | 0.815504i | \(-0.696460\pi\) |
−0.947561 | + | 0.319576i | \(0.896460\pi\) | |||||||
\(810\) | 4.14346e8 | + | 8.25146e7i | 0.779666 | + | 0.155266i | ||||
\(811\) | −5.09848e8 | − | 3.70426e8i | −0.955825 | − | 0.694447i | −0.00364741 | − | 0.999993i | \(-0.501161\pi\) |
−0.952177 | + | 0.305546i | \(0.901161\pi\) | |||||||
\(812\) | 2.04077e7 | − | 6.63086e6i | 0.0381176 | − | 0.0123852i | ||||
\(813\) | −5.70777e7 | + | 2.72842e8i | −0.106217 | + | 0.507738i | ||||
\(814\) | −8.85289e7 | + | 1.72018e8i | −0.164139 | + | 0.318933i | ||||
\(815\) | 5.62491e8i | 1.03906i | ||||||||
\(816\) | 1.48214e7 | + | 1.36783e8i | 0.0272785 | + | 0.251745i | ||||
\(817\) | 7.91634e8 | + | 5.75156e8i | 1.45164 | + | 1.05468i | ||||
\(818\) | −1.21161e8 | − | 1.66764e8i | −0.221362 | − | 0.304678i | ||||
\(819\) | 2.95967e7 | − | 3.32988e7i | 0.0538755 | − | 0.0606145i | ||||
\(820\) | −2.04994e7 | + | 6.30906e7i | −0.0371791 | + | 0.114426i | ||||
\(821\) | 2.46244e8 | + | 3.38925e8i | 0.444975 | + | 0.612455i | 0.971309 | − | 0.237823i | \(-0.0764337\pi\) |
−0.526334 | + | 0.850278i | \(0.676434\pi\) | |||||||
\(822\) | 4.92810e7 | − | 4.46607e7i | 0.0887286 | − | 0.0804099i | ||||
\(823\) | 1.66639e8 | + | 5.12862e8i | 0.298935 | + | 0.920027i | 0.981871 | + | 0.189549i | \(0.0607027\pi\) |
−0.682936 | + | 0.730478i | \(0.739297\pi\) | |||||||
\(824\) | − | 6.17464e8i | − | 1.10365i | ||||||
\(825\) | 1.10956e9 | − | 2.96303e8i | 1.97601 | − | 0.527684i | ||||
\(826\) | 7.52776e7 | 0.133575 | ||||||||
\(827\) | −2.11579e7 | + | 6.87462e6i | −0.0374073 | + | 0.0121544i | −0.327661 | − | 0.944795i | \(-0.606260\pi\) |
0.290254 | + | 0.956950i | \(0.406260\pi\) | |||||||
\(828\) | 1.23394e8 | − | 7.23042e7i | 0.217372 | − | 0.127372i | ||||
\(829\) | 4.95978e8 | − | 3.60349e8i | 0.870560 | − | 0.632499i | −0.0601769 | − | 0.998188i | \(-0.519166\pi\) |
0.930737 | + | 0.365689i | \(0.119166\pi\) | |||||||
\(830\) | 5.53773e8 | + | 1.79932e8i | 0.968496 | + | 0.314683i | ||||
\(831\) | −4.08131e8 | − | 2.33887e8i | −0.711208 | − | 0.407571i | ||||
\(832\) | −1.31454e6 | + | 955073.i | −0.00228247 | + | 0.00165831i | ||||
\(833\) | −4.96359e7 | + | 6.83179e7i | −0.0858738 | + | 0.118195i | ||||
\(834\) | 2.16583e7 | + | 1.99878e8i | 0.0373359 | + | 0.344562i | ||||
\(835\) | 1.31779e8 | 0.226354 | ||||||||
\(836\) | 7.34613e8 | − | 1.13296e8i | 1.25730 | − | 0.193907i | ||||
\(837\) | 3.47611e8 | − | 4.88286e8i | 0.592812 | − | 0.832717i | ||||
\(838\) | 3.50434e7 | + | 1.07853e8i | 0.0595490 | + | 0.183273i | ||||
\(839\) | 2.48132e8 | − | 3.41525e8i | 0.420144 | − | 0.578278i | −0.545512 | − | 0.838103i | \(-0.683665\pi\) |
0.965656 | + | 0.259825i | \(0.0836648\pi\) | |||||||
\(840\) | 3.85697e8 | + | 8.58843e8i | 0.650741 | + | 1.44903i | ||||
\(841\) | 1.83432e8 | − | 5.64546e8i | 0.308381 | − | 0.949099i | ||||
\(842\) | 1.99544e8 | + | 6.48359e7i | 0.334275 | + | 0.108612i | ||||
\(843\) | −3.22963e8 | + | 1.45039e8i | −0.539101 | + | 0.242104i | ||||
\(844\) | −5.56915e8 | − | 4.04622e8i | −0.926321 | − | 0.673011i | ||||
\(845\) | −9.96056e8 | + | 3.23638e8i | −1.65087 | + | 0.536401i | ||||
\(846\) | −2.60355e8 | − | 1.13916e8i | −0.429987 | − | 0.188137i | ||||
\(847\) | −4.02575e8 | + | 5.44739e8i | −0.662517 | + | 0.896476i | ||||
\(848\) | 2.80970e7i | 0.0460757i | ||||||||
\(849\) | 9.51982e8 | − | 1.03155e8i | 1.55563 | − | 0.168564i | ||||
\(850\) | −2.78778e8 | − | 2.02544e8i | −0.453944 | − | 0.329809i | ||||
\(851\) | 9.06784e7 | + | 1.24808e8i | 0.147135 | + | 0.202513i | ||||
\(852\) | −4.64601e7 | + | 8.10725e7i | −0.0751211 | + | 0.131086i | ||||
\(853\) | 7.60262e7 | − | 2.33984e8i | 0.122494 | − | 0.376999i | −0.870942 | − | 0.491386i | \(-0.836490\pi\) |
0.993436 | + | 0.114387i | \(0.0364904\pi\) | |||||||
\(854\) | −3.04941e8 | − | 4.19716e8i | −0.489601 | − | 0.673878i | ||||
\(855\) | 1.51070e9 | − | 8.85210e8i | 2.41702 | − | 1.41628i | ||||
\(856\) | −2.11588e8 | − | 6.51201e8i | −0.337341 | − | 1.03823i | ||||
\(857\) | 5.31034e8i | 0.843684i | 0.906669 | + | 0.421842i | \(0.138616\pi\) | ||||
−0.906669 | + | 0.421842i | \(0.861384\pi\) | |||||||
\(858\) | −2.09039e7 | − | 1.11321e6i | −0.0330952 | − | 0.00176244i | ||||
\(859\) | 9.75882e8 | 1.53964 | 0.769818 | − | 0.638264i | \(-0.220347\pi\) | ||||
0.769818 | + | 0.638264i | \(0.220347\pi\) | |||||||
\(860\) | −9.35048e8 | + | 3.03816e8i | −1.47007 | + | 0.477655i | ||||
\(861\) | −4.15676e7 | − | 4.58680e7i | −0.0651247 | − | 0.0718621i | ||||
\(862\) | −3.41588e7 | + | 2.48179e7i | −0.0533312 | + | 0.0387474i | ||||
\(863\) | −9.12434e8 | − | 2.96468e8i | −1.41961 | − | 0.461259i | −0.504131 | − | 0.863627i | \(-0.668187\pi\) |
−0.915478 | + | 0.402368i | \(0.868187\pi\) | |||||||
\(864\) | −5.22318e8 | + | 3.87242e8i | −0.809830 | + | 0.600401i | ||||
\(865\) | 5.99343e8 | − | 4.35448e8i | 0.926034 | − | 0.672803i | ||||
\(866\) | 1.30383e8 | − | 1.79456e8i | 0.200755 | − | 0.276315i | ||||
\(867\) | −4.12941e8 | + | 4.47453e7i | −0.633623 | + | 0.0686579i | ||||
\(868\) | 5.90517e8 | 0.902969 | ||||||||
\(869\) | −4.35135e8 | − | 8.62642e8i | −0.663078 | − | 1.31453i | ||||
\(870\) | −2.32478e7 | − | 4.86337e6i | −0.0353041 | − | 0.00738550i | ||||
\(871\) | −1.84223e7 | − | 5.66980e7i | −0.0278798 | − | 0.0858051i | ||||
\(872\) | 9.84095e6 | − | 1.35449e7i | 0.0148418 | − | 0.0204280i | ||||
\(873\) | −4.52584e8 | + | 9.92472e7i | −0.680231 | + | 0.149168i | ||||
\(874\) | −4.79665e7 | + | 1.47626e8i | −0.0718461 | + | 0.221120i | ||||
\(875\) | 1.29548e9 | + | 4.20926e8i | 1.93378 | + | 0.628322i | ||||
\(876\) | 2.85701e7 | + | 6.36180e7i | 0.0425011 | + | 0.0946385i | ||||
\(877\) | 9.61188e8 | + | 6.98344e8i | 1.42498 | + | 1.03531i | 0.990924 | + | 0.134426i | \(0.0429189\pi\) |
0.434059 | + | 0.900885i | \(0.357081\pi\) | |||||||
\(878\) | −2.45815e8 | + | 7.98700e7i | −0.363182 | + | 0.118005i | ||||
\(879\) | 2.77404e8 | + | 5.80321e7i | 0.408457 | + | 0.0854480i | ||||
\(880\) | −2.28818e8 | + | 4.44609e8i | −0.335770 | + | 0.652424i | ||||
\(881\) | 4.64513e7i | 0.0679314i | 0.999423 | + | 0.0339657i | \(0.0108137\pi\) | ||||
−0.999423 | + | 0.0339657i | \(0.989186\pi\) | |||||||
\(882\) | −7.54629e7 | − | 7.44094e6i | −0.109984 | − | 0.0108448i | ||||
\(883\) | −8.37482e8 | − | 6.08467e8i | −1.21645 | − | 0.883801i | −0.220648 | − | 0.975354i | \(-0.570817\pi\) |
−0.995800 | + | 0.0915524i | \(0.970817\pi\) | |||||||
\(884\) | −1.40978e7 | − | 1.94039e7i | −0.0204077 | − | 0.0280888i | ||||
\(885\) | 2.76054e8 | + | 1.58198e8i | 0.398258 | + | 0.228230i | ||||
\(886\) | −1.82492e8 | + | 5.61652e8i | −0.262387 | + | 0.807544i | ||||
\(887\) | −1.88792e8 | − | 2.59850e8i | −0.270529 | − | 0.372351i | 0.652039 | − | 0.758185i | \(-0.273914\pi\) |
−0.922568 | + | 0.385834i | \(0.873914\pi\) | |||||||
\(888\) | −3.02322e8 | − | 3.33598e8i | −0.431748 | − | 0.476414i | ||||
\(889\) | 1.46135e8 | + | 4.49756e8i | 0.207993 | + | 0.640136i | ||||
\(890\) | 1.06702e9i | 1.51357i | ||||||||
\(891\) | −7.06677e8 | − | 3.07975e7i | −0.999052 | − | 0.0435394i | ||||
\(892\) | −4.83366e8 | −0.681054 | ||||||||
\(893\) | −1.12014e9 | + | 3.63956e8i | −1.57296 | + | 0.511087i | ||||
\(894\) | 2.72118e8 | − | 2.46606e8i | 0.380843 | − | 0.345137i | ||||
\(895\) | 7.81516e8 | − | 5.67804e8i | 1.09011 | − | 0.792008i | ||||
\(896\) | −7.55318e8 | − | 2.45418e8i | −1.05004 | − | 0.341179i | ||||
\(897\) | −8.29991e6 | + | 1.44833e7i | −0.0114999 | + | 0.0200673i | ||||
\(898\) | 1.28063e8 | − | 9.30430e7i | 0.176845 | − | 0.128486i | ||||
\(899\) | −1.98059e7 | + | 2.72605e7i | −0.0272594 | + | 0.0375193i | ||||
\(900\) | −1.15945e8 | + | 1.17586e9i | −0.159046 | + | 1.61298i | ||||
\(901\) | 4.82682e7 | 0.0659913 | ||||||||
\(902\) | −4.66667e6 | + | 2.87092e7i | −0.00635898 | + | 0.0391203i | ||||
\(903\) | 1.87854e8 | − | 8.97979e8i | 0.255128 | − | 1.21956i | ||||
\(904\) | 1.55445e8 | + | 4.78410e8i | 0.210412 | + | 0.647582i | ||||
\(905\) | 977123. | − | 1.34489e6i | 0.00131827 | − | 0.00181444i | ||||
\(906\) | 4.81437e8 | − | 2.16208e8i | 0.647374 | − | 0.290728i | ||||
\(907\) | 8.63415e7 | − | 2.65732e8i | 0.115717 | − | 0.356141i | −0.876379 | − | 0.481622i | \(-0.840048\pi\) |
0.992096 | + | 0.125482i | \(0.0400477\pi\) | |||||||
\(908\) | 3.33882e8 | + | 1.08485e8i | 0.446000 | + | 0.144914i | ||||
\(909\) | 6.77168e7 | + | 3.08800e8i | 0.0901581 | + | 0.411136i | ||||
\(910\) | −3.93042e7 | − | 2.85562e7i | −0.0521573 | − | 0.0378945i | ||||
\(911\) | 1.28587e9 | − | 4.17806e8i | 1.70076 | − | 0.552611i | 0.712009 | − | 0.702171i | \(-0.247786\pi\) |
0.988753 | + | 0.149560i | \(0.0477857\pi\) | |||||||
\(912\) | −1.04843e8 | + | 5.01171e8i | −0.138215 | + | 0.660696i | ||||
\(913\) | −9.62248e8 | − | 1.56413e8i | −1.26437 | − | 0.205523i | ||||
\(914\) | 3.98382e8i | 0.521748i | ||||||||
\(915\) | −2.36220e8 | − | 2.18000e9i | −0.308357 | − | 2.84573i | ||||
\(916\) | −1.60629e8 | − | 1.16704e8i | −0.208996 | − | 0.151844i | ||||
\(917\) | 8.83308e8 | + | 1.21577e9i | 1.14552 | + | 1.57668i | ||||
\(918\) | 1.26402e8 | + | 1.70493e8i | 0.163390 | + | 0.220383i | ||||
\(919\) | −3.24415e8 | + | 9.98448e8i | −0.417980 | + | 1.28641i | 0.491579 | + | 0.870833i | \(0.336420\pi\) |
−0.909559 | + | 0.415576i | \(0.863580\pi\) | |||||||
\(920\) | −2.07350e8 | − | 2.85393e8i | −0.266281 | − | 0.366505i | ||||
\(921\) | −1.67806e6 | + | 1.52073e6i | −0.00214797 | + | 0.00194659i | ||||
\(922\) | −1.72407e8 | − | 5.30615e8i | −0.219970 | − | 0.676997i | ||||
\(923\) | − | 1.09064e7i | − | 0.0138700i | ||||||
\(924\) | −3.79059e8 | − | 5.84780e8i | −0.480498 | − | 0.741270i | ||||
\(925\) | −1.27454e9 | −1.61038 | ||||||||
\(926\) | 2.28414e8 | − | 7.42161e7i | 0.287667 | − | 0.0934685i | ||||
\(927\) | 5.44314e8 | + | 9.28926e8i | 0.683298 | + | 1.16612i | ||||
\(928\) | 2.95724e7 | − | 2.14856e7i | 0.0370034 | − | 0.0268846i | ||||
\(929\) | 4.86695e8 | + | 1.58137e8i | 0.607030 | + | 0.197236i | 0.596373 | − | 0.802707i | \(-0.296608\pi\) |
0.0106564 | + | 0.999943i | \(0.496608\pi\) | |||||||
\(930\) | −5.67104e8 | − | 3.24990e8i | −0.705040 | − | 0.404037i | ||||
\(931\) | −2.54247e8 | + | 1.84721e8i | −0.315070 | + | 0.228912i | ||||
\(932\) | 1.53501e8 | − | 2.11276e8i | 0.189611 | − | 0.260977i | ||||
\(933\) | −9.69134e7 | − | 8.94384e8i | −0.119327 | − | 1.10123i | ||||
\(934\) | −1.00909e8 | −0.123848 | ||||||||
\(935\) | 7.63800e8 | + | 3.93090e8i | 0.934425 | + | 0.480903i | ||||
\(936\) | 1.95273e7 | − | 4.46295e7i | 0.0238130 | − | 0.0544246i | ||||
\(937\) | −3.60761e7 | − | 1.11031e8i | −0.0438532 | − | 0.134966i | 0.926733 | − | 0.375721i | \(-0.122605\pi\) |
−0.970586 | + | 0.240755i | \(0.922605\pi\) | |||||||
\(938\) | −3.05494e8 | + | 4.20477e8i | −0.370164 | + | 0.509488i | ||||
\(939\) | −5.56218e7 | − | 1.23855e8i | −0.0671813 | − | 0.149595i | ||||
\(940\) | 3.65688e8 | − | 1.12547e9i | 0.440278 | − | 1.35504i | ||||
\(941\) | −5.12587e8 | − | 1.66550e8i | −0.615175 | − | 0.199883i | −0.0151784 | − | 0.999885i | \(-0.504832\pi\) |
−0.599997 | + | 0.800002i | \(0.704832\pi\) | |||||||
\(942\) | −3.58018e8 | + | 1.60782e8i | −0.428304 | + | 0.192346i | ||||
\(943\) | 1.87643e7 | + | 1.36331e7i | 0.0223768 | + | 0.0162577i | ||||
\(944\) | −8.84874e7 | + | 2.87513e7i | −0.105188 | + | 0.0341776i | ||||
\(945\) | −1.33735e9 | − | 9.52059e8i | −1.58471 | − | 1.12815i | ||||
\(946\) | −3.84883e8 | + | 1.94143e8i | −0.454627 | + | 0.229324i | ||||
\(947\) | 1.46211e9i | 1.72159i | 0.508955 | + | 0.860793i | \(0.330032\pi\) | ||||
−0.508955 | + | 0.860793i | \(0.669968\pi\) | |||||||
\(948\) | 9.88254e8 | − | 1.07085e8i | 1.15996 | − | 0.125691i | ||||
\(949\) | −6.58528e6 | − | 4.78449e6i | −0.00770506 | − | 0.00559805i | ||||
\(950\) | −7.53774e8 | − | 1.03748e9i | −0.879165 | − | 1.21007i | ||||
\(951\) | −6.28079e8 | + | 1.09599e9i | −0.730252 | + | 1.27428i | ||||
\(952\) | −1.46153e8 | + | 4.49812e8i | −0.169393 | + | 0.521339i | ||||
\(953\) | −8.82706e8 | − | 1.21494e9i | −1.01985 | − | 1.40371i | −0.912307 | − | 0.409507i | \(-0.865701\pi\) |
−0.107546 | − | 0.994200i | \(-0.534299\pi\) | |||||||
\(954\) | 2.19125e7 | + | 3.73959e7i | 0.0252375 | + | 0.0430704i | ||||
\(955\) | 2.40460e8 | + | 7.40061e8i | 0.276079 | + | 0.849684i | ||||
\(956\) | − | 5.17267e8i | − | 0.592027i | ||||||
\(957\) | 3.97094e7 | + | 2.11467e6i | 0.0453061 | + | 0.00241272i | ||||
\(958\) | 4.99966e8 | 0.568648 | ||||||||
\(959\) | −2.45775e8 | + | 7.98572e7i | −0.278665 | + | 0.0905437i | ||||
\(960\) | 4.02062e7 | + | 4.43656e7i | 0.0454443 | + | 0.0501456i | ||||
\(961\) | −3.21978e7 | + | 2.33931e7i | −0.0362791 | + | 0.0263583i | ||||
\(962\) | 2.20949e7 | + | 7.17905e6i | 0.0248180 | + | 0.00806384i | ||||
\(963\) | 8.92372e8 | + | 7.93159e8i | 0.999233 | + | 0.888140i | ||||
\(964\) | −3.99210e8 | + | 2.90043e8i | −0.445625 | + | 0.323766i | ||||
\(965\) | −6.35500e8 | + | 8.74690e8i | −0.707186 | + | 0.973357i | ||||
\(966\) | 1.44684e8 | − | 1.56776e7i | 0.160505 | − | 0.0173920i | ||||
\(967\) | −2.39011e8 | −0.264325 | −0.132162 | − | 0.991228i | \(-0.542192\pi\) | ||||
−0.132162 | + | 0.991228i | \(0.542192\pi\) | |||||||
\(968\) | −2.34590e8 | + | 7.02529e8i | −0.258632 | + | 0.774530i | ||||
\(969\) | 8.60969e8 | + | 1.80112e8i | 0.946273 | + | 0.197957i | ||||
\(970\) | 1.56137e8 | + | 4.80541e8i | 0.171077 | + | 0.526521i | ||||
\(971\) | −7.14535e8 | + | 9.83473e8i | −0.780487 | + | 1.07425i | 0.214741 | + | 0.976671i | \(0.431109\pi\) |
−0.995228 | + | 0.0975775i | \(0.968891\pi\) | |||||||
\(972\) | 2.85271e8 | − | 6.69505e8i | 0.310641 | − | 0.729046i | ||||
\(973\) | 2.41405e8 | − | 7.42968e8i | 0.262064 | − | 0.806551i | ||||
\(974\) | −3.74722e8 | − | 1.21754e8i | −0.405538 | − | 0.131767i | ||||
\(975\) | −5.64985e7 | − | 1.25807e8i | −0.0609569 | − | 0.135735i | ||||
\(976\) | 5.18757e8 | + | 3.76899e8i | 0.557975 | + | 0.405392i | ||||
\(977\) | 3.71553e8 | − | 1.20725e8i | 0.398417 | − | 0.129453i | −0.102954 | − | 0.994686i | \(-0.532829\pi\) |
0.501370 | + | 0.865233i | \(0.332829\pi\) | |||||||
\(978\) | −2.48364e8 | − | 5.19569e7i | −0.265504 | − | 0.0555426i | ||||
\(979\) | −2.72299e8 | − | 1.76560e9i | −0.290201 | − | 1.88167i | ||||
\(980\) | − | 3.15761e8i | − | 0.335491i | ||||||
\(981\) | −2.86468e6 | + | 2.90524e7i | −0.00303437 | + | 0.0307733i | ||||
\(982\) | −1.68085e8 | − | 1.22121e8i | −0.177498 | − | 0.128960i | ||||
\(983\) | −4.23112e8 | − | 5.82364e8i | −0.445446 | − | 0.613103i | 0.525966 | − | 0.850506i | \(-0.323704\pi\) |
−0.971411 | + | 0.237402i | \(0.923704\pi\) | |||||||
\(984\) | −5.87268e7 | − | 3.36545e7i | −0.0616383 | − | 0.0353230i | ||||
\(985\) | −6.36507e7 | + | 1.95897e8i | −0.0666031 | + | 0.204983i | ||||
\(986\) | −7.01323e6 | − | 9.65289e6i | −0.00731623 | − | 0.0100699i | ||||
\(987\) | 7.41523e8 | + | 8.18236e8i | 0.771211 | + | 0.850995i | ||||
\(988\) | −2.75826e7 | − | 8.48906e7i | −0.0285999 | − | 0.0880215i | ||||
\(989\) | 3.43751e8i | 0.355349i | ||||||||
\(990\) | 4.21980e7 | + | 7.70209e8i | 0.0434897 | + | 0.793785i | ||||
\(991\) | −1.50206e8 | −0.154335 | −0.0771677 | − | 0.997018i | \(-0.524588\pi\) | ||||
−0.0771677 | + | 0.997018i | \(0.524588\pi\) | |||||||
\(992\) | 9.56708e8 | − | 3.10853e8i | 0.980041 | − | 0.318435i | ||||
\(993\) | 9.45104e8 | − | 8.56497e8i | 0.965233 | − | 0.874738i | ||||
\(994\) | −7.69241e7 | + | 5.58886e7i | −0.0783255 | + | 0.0569068i | ||||
\(995\) | −5.26617e8 | − | 1.71108e8i | −0.534596 | − | 0.173701i | ||||
\(996\) | 4.98700e8 | − | 8.70226e8i | 0.504732 | − | 0.880752i | ||||
\(997\) | 4.76479e8 | − | 3.46182e8i | 0.480793 | − | 0.349316i | −0.320840 | − | 0.947133i | \(-0.603965\pi\) |
0.801633 | + | 0.597817i | \(0.203965\pi\) | |||||||
\(998\) | −4.20420e7 | + | 5.78659e7i | −0.0422953 | + | 0.0582145i | ||||
\(999\) | 7.48897e8 | + | 2.35366e8i | 0.751148 | + | 0.236073i |
(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 | 33.7.h.a.5.13 | yes | 88 | |
3.2 | odd | 2 | inner | 33.7.h.a.5.10 | ✓ | 88 | |
11.9 | even | 5 | inner | 33.7.h.a.20.10 | yes | 88 | |
33.20 | odd | 10 | inner | 33.7.h.a.20.13 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.7.h.a.5.10 | ✓ | 88 | 3.2 | odd | 2 | inner | |
33.7.h.a.5.13 | yes | 88 | 1.1 | even | 1 | trivial | |
33.7.h.a.20.10 | yes | 88 | 11.9 | even | 5 | inner | |
33.7.h.a.20.13 | yes | 88 | 33.20 | odd | 10 | inner |