Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(22,91)]
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([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.22");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.f (of order \(3\), 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: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 22.10 | ||
Character | \(\chi\) | \(=\) | 91.22 |
Dual form | 91.8.f.a.29.10 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96989 | + | 3.41195i | −0.174115 | + | 0.301577i | −0.939855 | − | 0.341574i | \(-0.889040\pi\) |
0.765739 | + | 0.643151i | \(0.222373\pi\) | |||||||
\(3\) | 18.4244 | − | 31.9119i | 0.393974 | − | 0.682383i | −0.598995 | − | 0.800752i | \(-0.704433\pi\) |
0.992970 | + | 0.118369i | \(0.0377666\pi\) | |||||||
\(4\) | 56.2391 | + | 97.4089i | 0.439368 | + | 0.761007i | ||||
\(5\) | 280.776 | 1.00454 | 0.502268 | − | 0.864712i | \(-0.332499\pi\) | ||||
0.502268 | + | 0.864712i | \(0.332499\pi\) | |||||||
\(6\) | 72.5879 | + | 125.726i | 0.137194 | + | 0.237627i | ||||
\(7\) | 171.500 | + | 297.047i | 0.188982 | + | 0.327327i | ||||
\(8\) | −947.431 | −0.654233 | ||||||||
\(9\) | 414.587 | + | 718.085i | 0.189569 | + | 0.328342i | ||||
\(10\) | −553.099 | + | 957.995i | −0.174905 | + | 0.302945i | ||||
\(11\) | −2744.58 | + | 4753.75i | −0.621729 | + | 1.07687i | 0.367435 | + | 0.930049i | \(0.380236\pi\) |
−0.989164 | + | 0.146817i | \(0.953097\pi\) | |||||||
\(12\) | 4144.67 | 0.692398 | ||||||||
\(13\) | 2582.39 | + | 7488.64i | 0.326002 | + | 0.945369i | ||||
\(14\) | −1351.34 | −0.131619 | ||||||||
\(15\) | 5173.12 | − | 8960.11i | 0.395761 | − | 0.685478i | ||||
\(16\) | −5332.26 | + | 9235.75i | −0.325456 | + | 0.563706i | ||||
\(17\) | −334.086 | − | 578.655i | −0.0164925 | − | 0.0285659i | 0.857661 | − | 0.514215i | \(-0.171917\pi\) |
−0.874154 | + | 0.485649i | \(0.838583\pi\) | |||||||
\(18\) | −3266.76 | −0.132027 | ||||||||
\(19\) | −28893.7 | − | 50045.4i | −0.966420 | − | 1.67389i | −0.705751 | − | 0.708460i | \(-0.749390\pi\) |
−0.260669 | − | 0.965428i | \(-0.583943\pi\) | |||||||
\(20\) | 15790.6 | + | 27350.1i | 0.441361 | + | 0.764459i | ||||
\(21\) | 12639.1 | 0.297817 | ||||||||
\(22\) | −10813.0 | − | 18728.7i | −0.216505 | − | 0.374998i | ||||
\(23\) | −5782.31 | + | 10015.2i | −0.0990954 | + | 0.171638i | −0.911310 | − | 0.411720i | \(-0.864928\pi\) |
0.812215 | + | 0.583358i | \(0.198262\pi\) | |||||||
\(24\) | −17455.8 | + | 30234.3i | −0.257751 | + | 0.446438i | ||||
\(25\) | 710.316 | 0.00909205 | ||||||||
\(26\) | −30637.9 | − | 5940.83i | −0.341863 | − | 0.0662888i | ||||
\(27\) | 111142. | 1.08669 | ||||||||
\(28\) | −19290.0 | + | 33411.3i | −0.166065 | + | 0.287634i | ||||
\(29\) | −36931.8 | + | 63967.8i | −0.281195 | + | 0.487044i | −0.971679 | − | 0.236303i | \(-0.924064\pi\) |
0.690484 | + | 0.723347i | \(0.257397\pi\) | |||||||
\(30\) | 20381.0 | + | 35300.9i | 0.137816 | + | 0.238705i | ||||
\(31\) | 128091. | 0.772242 | 0.386121 | − | 0.922448i | \(-0.373815\pi\) | ||||
0.386121 | + | 0.922448i | \(0.373815\pi\) | |||||||
\(32\) | −81643.5 | − | 141411.i | −0.440450 | − | 0.762882i | ||||
\(33\) | 101134. | + | 175169.i | 0.489890 | + | 0.848515i | ||||
\(34\) | 2632.45 | 0.0114864 | ||||||||
\(35\) | 48153.1 | + | 83403.7i | 0.189839 | + | 0.328812i | ||||
\(36\) | −46631.9 | + | 80768.9i | −0.166581 | + | 0.288526i | ||||
\(37\) | −231827. | + | 401536.i | −0.752415 | + | 1.30322i | 0.194235 | + | 0.980955i | \(0.437778\pi\) |
−0.946649 | + | 0.322266i | \(0.895556\pi\) | |||||||
\(38\) | 227670. | 0.673074 | ||||||||
\(39\) | 286556. | + | 55564.4i | 0.773540 | + | 0.149993i | ||||
\(40\) | −266016. | −0.657201 | ||||||||
\(41\) | 87215.7 | − | 151062.i | 0.197629 | − | 0.342304i | −0.750130 | − | 0.661290i | \(-0.770009\pi\) |
0.947759 | + | 0.318986i | \(0.103342\pi\) | |||||||
\(42\) | −24897.7 | + | 43124.0i | −0.0518544 | + | 0.0898145i | ||||
\(43\) | 279297. | + | 483756.i | 0.535706 | + | 0.927870i | 0.999129 | + | 0.0417327i | \(0.0132878\pi\) |
−0.463423 | + | 0.886137i | \(0.653379\pi\) | |||||||
\(44\) | −617410. | −1.09267 | ||||||||
\(45\) | 116406. | + | 201621.i | 0.190428 | + | 0.329832i | ||||
\(46\) | −22781.0 | − | 39457.9i | −0.0345081 | − | 0.0597697i | ||||
\(47\) | 444019. | 0.623820 | 0.311910 | − | 0.950112i | \(-0.399031\pi\) | ||||
0.311910 | + | 0.950112i | \(0.399031\pi\) | |||||||
\(48\) | 196487. | + | 340326.i | 0.256442 | + | 0.444171i | ||||
\(49\) | −58824.5 | + | 101887.i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −1399.25 | + | 2423.56i | −0.00158307 | + | 0.00274195i | ||||
\(51\) | −24621.3 | −0.0259905 | ||||||||
\(52\) | −584230. | + | 672702.i | −0.576198 | + | 0.663454i | ||||
\(53\) | −375418. | −0.346377 | −0.173189 | − | 0.984889i | \(-0.555407\pi\) | ||||
−0.173189 | + | 0.984889i | \(0.555407\pi\) | |||||||
\(54\) | −218938. | + | 379211.i | −0.189209 | + | 0.327720i | ||||
\(55\) | −770612. | + | 1.33474e6i | −0.624549 | + | 1.08175i | ||||
\(56\) | −162484. | − | 281431.i | −0.123638 | − | 0.214148i | ||||
\(57\) | −2.12939e6 | −1.52298 | ||||||||
\(58\) | −145503. | − | 252019.i | −0.0979207 | − | 0.169604i | ||||
\(59\) | 472989. | + | 819241.i | 0.299826 | + | 0.519313i | 0.976096 | − | 0.217340i | \(-0.0697381\pi\) |
−0.676270 | + | 0.736654i | \(0.736405\pi\) | |||||||
\(60\) | 1.16373e6 | 0.695539 | ||||||||
\(61\) | 9755.99 | + | 16897.9i | 0.00550322 | + | 0.00953185i | 0.868764 | − | 0.495227i | \(-0.164915\pi\) |
−0.863261 | + | 0.504758i | \(0.831582\pi\) | |||||||
\(62\) | −252326. | + | 437041.i | −0.134459 | + | 0.232890i | ||||
\(63\) | −142203. | + | 246303.i | −0.0716502 | + | 0.124102i | ||||
\(64\) | −721744. | −0.344155 | ||||||||
\(65\) | 725073. | + | 2.10263e6i | 0.327480 | + | 0.949657i | ||||
\(66\) | −796892. | −0.341190 | ||||||||
\(67\) | 92054.6 | − | 159443.i | 0.0373924 | − | 0.0647656i | −0.846724 | − | 0.532033i | \(-0.821428\pi\) |
0.884116 | + | 0.467268i | \(0.154762\pi\) | |||||||
\(68\) | 37577.4 | − | 65086.0i | 0.0144926 | − | 0.0251019i | ||||
\(69\) | 213071. | + | 369049.i | 0.0780821 | + | 0.135242i | ||||
\(70\) | −379426. | −0.132216 | ||||||||
\(71\) | −261524. | − | 452972.i | −0.0867175 | − | 0.150199i | 0.819404 | − | 0.573216i | \(-0.194304\pi\) |
−0.906122 | + | 0.423017i | \(0.860971\pi\) | |||||||
\(72\) | −392792. | − | 680336.i | −0.124022 | − | 0.214813i | ||||
\(73\) | 4.25363e6 | 1.27976 | 0.639882 | − | 0.768473i | \(-0.278983\pi\) | ||||
0.639882 | + | 0.768473i | \(0.278983\pi\) | |||||||
\(74\) | −913346. | − | 1.58196e6i | −0.262014 | − | 0.453821i | ||||
\(75\) | 13087.1 | − | 22667.6i | 0.00358203 | − | 0.00620426i | ||||
\(76\) | 3.24991e6 | − | 5.62901e6i | 0.849227 | − | 1.47091i | ||||
\(77\) | −1.88278e6 | −0.469983 | ||||||||
\(78\) | −754067. | + | 868258.i | −0.179920 | + | 0.207166i | ||||
\(79\) | 5.64637e6 | 1.28847 | 0.644235 | − | 0.764828i | \(-0.277176\pi\) | ||||
0.644235 | + | 0.764828i | \(0.277176\pi\) | |||||||
\(80\) | −1.49717e6 | + | 2.59318e6i | −0.326932 | + | 0.566262i | ||||
\(81\) | 1.14102e6 | − | 1.97630e6i | 0.238559 | − | 0.413196i | ||||
\(82\) | 343611. | + | 595152.i | 0.0688206 | + | 0.119201i | ||||
\(83\) | 4.99552e6 | 0.958975 | 0.479488 | − | 0.877549i | \(-0.340823\pi\) | ||||
0.479488 | + | 0.877549i | \(0.340823\pi\) | |||||||
\(84\) | 710811. | + | 1.23116e6i | 0.130851 | + | 0.226641i | ||||
\(85\) | −93803.5 | − | 162472.i | −0.0165673 | − | 0.0286955i | ||||
\(86\) | −2.20074e6 | −0.373099 | ||||||||
\(87\) | 1.36089e6 | + | 2.35713e6i | 0.221567 | + | 0.383765i | ||||
\(88\) | 2.60030e6 | − | 4.50385e6i | 0.406756 | − | 0.704522i | ||||
\(89\) | 4.48978e6 | − | 7.77652e6i | 0.675087 | − | 1.16929i | −0.301356 | − | 0.953512i | \(-0.597439\pi\) |
0.976443 | − | 0.215774i | \(-0.0692273\pi\) | |||||||
\(90\) | −917229. | −0.132626 | ||||||||
\(91\) | −1.78160e6 | + | 2.05139e6i | −0.247836 | + | 0.285367i | ||||
\(92\) | −1.30077e6 | −0.174157 | ||||||||
\(93\) | 2.36000e6 | − | 4.08764e6i | 0.304243 | − | 0.526965i | ||||
\(94\) | −874669. | + | 1.51497e6i | −0.108617 | + | 0.188129i | ||||
\(95\) | −8.11267e6 | − | 1.40516e7i | −0.970803 | − | 1.68148i | ||||
\(96\) | −6.01692e6 | −0.694104 | ||||||||
\(97\) | −402495. | − | 697142.i | −0.0447775 | − | 0.0775568i | 0.842768 | − | 0.538277i | \(-0.180925\pi\) |
−0.887545 | + | 0.460720i | \(0.847591\pi\) | |||||||
\(98\) | −231756. | − | 401413.i | −0.0248736 | − | 0.0430824i | ||||
\(99\) | −4.55146e6 | −0.471441 | ||||||||
\(100\) | 39947.5 | + | 69191.2i | 0.00399475 | + | 0.00691912i | ||||
\(101\) | 3.38642e6 | − | 5.86545e6i | 0.327051 | − | 0.566469i | −0.654874 | − | 0.755738i | \(-0.727278\pi\) |
0.981925 | + | 0.189269i | \(0.0606117\pi\) | |||||||
\(102\) | 48501.3 | − | 84006.7i | 0.00452535 | − | 0.00783814i | ||||
\(103\) | −5.52012e6 | −0.497758 | −0.248879 | − | 0.968535i | \(-0.580062\pi\) | ||||
−0.248879 | + | 0.968535i | \(0.580062\pi\) | |||||||
\(104\) | −2.44664e6 | − | 7.09497e6i | −0.213281 | − | 0.618492i | ||||
\(105\) | 3.54876e6 | 0.299167 | ||||||||
\(106\) | 739532. | − | 1.28091e6i | 0.0603096 | − | 0.104459i | ||||
\(107\) | −2.88794e6 | + | 5.00206e6i | −0.227900 | + | 0.394735i | −0.957186 | − | 0.289475i | \(-0.906519\pi\) |
0.729285 | + | 0.684210i | \(0.239853\pi\) | |||||||
\(108\) | 6.25053e6 | + | 1.08262e7i | 0.477456 | + | 0.826978i | ||||
\(109\) | −5.75194e6 | −0.425424 | −0.212712 | − | 0.977115i | \(-0.568230\pi\) | ||||
−0.212712 | + | 0.977115i | \(0.568230\pi\) | |||||||
\(110\) | −3.03604e6 | − | 5.25858e6i | −0.217487 | − | 0.376699i | ||||
\(111\) | 8.54251e6 | + | 1.47961e7i | 0.592864 | + | 1.02687i | ||||
\(112\) | −3.65793e6 | −0.246021 | ||||||||
\(113\) | −7.30131e6 | − | 1.26462e7i | −0.476021 | − | 0.824493i | 0.523601 | − | 0.851963i | \(-0.324588\pi\) |
−0.999623 | + | 0.0274705i | \(0.991255\pi\) | |||||||
\(114\) | 4.19467e6 | − | 7.26538e6i | 0.265174 | − | 0.459295i | ||||
\(115\) | −1.62353e6 | + | 2.81204e6i | −0.0995449 | + | 0.172417i | ||||
\(116\) | −8.30804e6 | −0.494192 | ||||||||
\(117\) | −4.30686e6 | + | 4.95907e6i | −0.248605 | + | 0.286253i | ||||
\(118\) | −3.72695e6 | −0.208817 | ||||||||
\(119\) | 114592. | − | 198479.i | 0.00623359 | − | 0.0107969i | ||||
\(120\) | −4.90118e6 | + | 8.48909e6i | −0.258920 | + | 0.448463i | ||||
\(121\) | −5.32182e6 | − | 9.21766e6i | −0.273093 | − | 0.473012i | ||||
\(122\) | −76872.9 | −0.00383278 | ||||||||
\(123\) | −3.21379e6 | − | 5.56644e6i | −0.155722 | − | 0.269718i | ||||
\(124\) | 7.20373e6 | + | 1.24772e7i | 0.339298 | + | 0.587682i | ||||
\(125\) | −2.17362e7 | −0.995402 | ||||||||
\(126\) | −560249. | − | 970380.i | −0.0249508 | − | 0.0432161i | ||||
\(127\) | 1.43189e7 | − | 2.48011e7i | 0.620295 | − | 1.07438i | −0.369136 | − | 0.929375i | \(-0.620346\pi\) |
0.989431 | − | 0.145007i | \(-0.0463203\pi\) | |||||||
\(128\) | 1.18721e7 | − | 2.05631e7i | 0.500373 | − | 0.866671i | ||||
\(129\) | 2.05835e7 | 0.844217 | ||||||||
\(130\) | −8.60240e6 | − | 1.66804e6i | −0.343414 | − | 0.0665895i | ||||
\(131\) | 4.82640e7 | 1.87574 | 0.937872 | − | 0.346982i | \(-0.112793\pi\) | ||||
0.937872 | + | 0.346982i | \(0.112793\pi\) | |||||||
\(132\) | −1.13754e7 | + | 1.97027e7i | −0.430484 | + | 0.745620i | ||||
\(133\) | 9.91055e6 | − | 1.71656e7i | 0.365272 | − | 0.632670i | ||||
\(134\) | 362675. | + | 628171.i | 0.0130212 | + | 0.0225534i | ||||
\(135\) | 3.12061e7 | 1.09162 | ||||||||
\(136\) | 316524. | + | 548235.i | 0.0107900 | + | 0.0186888i | ||||
\(137\) | 3.91274e6 | + | 6.77707e6i | 0.130005 | + | 0.225175i | 0.923678 | − | 0.383169i | \(-0.125167\pi\) |
−0.793673 | + | 0.608344i | \(0.791834\pi\) | |||||||
\(138\) | −1.67890e6 | −0.0543812 | ||||||||
\(139\) | 1.42338e6 | + | 2.46536e6i | 0.0449540 | + | 0.0778626i | 0.887627 | − | 0.460563i | \(-0.152353\pi\) |
−0.842673 | + | 0.538426i | \(0.819019\pi\) | |||||||
\(140\) | −5.41617e6 | + | 9.38109e6i | −0.166819 | + | 0.288938i | ||||
\(141\) | 8.18076e6 | − | 1.41695e7i | 0.245769 | − | 0.425684i | ||||
\(142\) | 2.06069e6 | 0.0603954 | ||||||||
\(143\) | −4.26867e7 | − | 8.27714e6i | −1.22072 | − | 0.236703i | ||||
\(144\) | −8.84274e6 | −0.246785 | ||||||||
\(145\) | −1.03696e7 | + | 1.79606e7i | −0.282470 | + | 0.489253i | ||||
\(146\) | −8.37919e6 | + | 1.45132e7i | −0.222827 | + | 0.385947i | ||||
\(147\) | 2.16761e6 | + | 3.75440e6i | 0.0562820 | + | 0.0974833i | ||||
\(148\) | −5.21509e7 | −1.32235 | ||||||||
\(149\) | 3.33982e7 | + | 5.78474e7i | 0.827126 | + | 1.43262i | 0.900284 | + | 0.435303i | \(0.143359\pi\) |
−0.0731581 | + | 0.997320i | \(0.523308\pi\) | |||||||
\(150\) | 51560.4 | + | 89305.2i | 0.00124737 | + | 0.00216052i | ||||
\(151\) | 3.99796e6 | 0.0944972 | 0.0472486 | − | 0.998883i | \(-0.484955\pi\) | ||||
0.0472486 | + | 0.998883i | \(0.484955\pi\) | |||||||
\(152\) | 2.73748e7 | + | 4.74146e7i | 0.632264 | + | 1.09511i | ||||
\(153\) | 277015. | − | 479805.i | 0.00625294 | − | 0.0108304i | ||||
\(154\) | 3.70887e6 | − | 6.42395e6i | 0.0818312 | − | 0.141736i | ||||
\(155\) | 3.59650e7 | 0.775745 | ||||||||
\(156\) | 1.07032e7 | + | 3.10380e7i | 0.225723 | + | 0.654572i | ||||
\(157\) | −3.46001e7 | −0.713557 | −0.356779 | − | 0.934189i | \(-0.616125\pi\) | ||||
−0.356779 | + | 0.934189i | \(0.616125\pi\) | |||||||
\(158\) | −1.11227e7 | + | 1.92651e7i | −0.224342 | + | 0.388572i | ||||
\(159\) | −6.91683e6 | + | 1.19803e7i | −0.136464 | + | 0.236362i | ||||
\(160\) | −2.29236e7 | − | 3.97048e7i | −0.442448 | − | 0.766343i | ||||
\(161\) | −3.96666e6 | −0.0749091 | ||||||||
\(162\) | 4.49537e6 | + | 7.78620e6i | 0.0830735 | + | 0.143888i | ||||
\(163\) | 4.52211e6 | + | 7.83252e6i | 0.0817870 | + | 0.141659i | 0.904018 | − | 0.427495i | \(-0.140604\pi\) |
−0.822231 | + | 0.569154i | \(0.807271\pi\) | |||||||
\(164\) | 1.96197e7 | 0.347328 | ||||||||
\(165\) | 2.83961e7 | + | 4.91834e7i | 0.492112 | + | 0.852363i | ||||
\(166\) | −9.84063e6 | + | 1.70445e7i | −0.166972 | + | 0.289205i | ||||
\(167\) | 2.99457e7 | − | 5.18675e7i | 0.497539 | − | 0.861762i | −0.502457 | − | 0.864602i | \(-0.667571\pi\) |
0.999996 | + | 0.00283982i | \(0.000903945\pi\) | |||||||
\(168\) | −1.19747e7 | −0.194842 | ||||||||
\(169\) | −4.94111e7 | + | 3.86772e7i | −0.787446 | + | 0.616384i | ||||
\(170\) | 739131. | 0.0115385 | ||||||||
\(171\) | 2.39579e7 | − | 4.14963e7i | 0.366406 | − | 0.634633i | ||||
\(172\) | −3.14148e7 | + | 5.44120e7i | −0.470744 | + | 0.815352i | ||||
\(173\) | −4.49122e7 | − | 7.77903e7i | −0.659483 | − | 1.14226i | −0.980750 | − | 0.195269i | \(-0.937442\pi\) |
0.321267 | − | 0.946989i | \(-0.395891\pi\) | |||||||
\(174\) | −1.07232e7 | −0.154313 | ||||||||
\(175\) | 121819. | + | 210997.i | 0.00171824 | + | 0.00297607i | ||||
\(176\) | −2.92696e7 | − | 5.06965e7i | −0.404690 | − | 0.700944i | ||||
\(177\) | 3.48581e7 | 0.472494 | ||||||||
\(178\) | 1.76887e7 | + | 3.06378e7i | 0.235086 | + | 0.407181i | ||||
\(179\) | −2.52132e7 | + | 4.36705e7i | −0.328581 | + | 0.569119i | −0.982231 | − | 0.187678i | \(-0.939904\pi\) |
0.653650 | + | 0.756797i | \(0.273237\pi\) | |||||||
\(180\) | −1.30931e7 | + | 2.26780e7i | −0.167336 | + | 0.289835i | ||||
\(181\) | −1.08576e7 | −0.136100 | −0.0680502 | − | 0.997682i | \(-0.521678\pi\) | ||||
−0.0680502 | + | 0.997682i | \(0.521678\pi\) | |||||||
\(182\) | −3.48970e6 | − | 1.01197e7i | −0.0429080 | − | 0.124428i | ||||
\(183\) | 718991. | 0.00867250 | ||||||||
\(184\) | 5.47834e6 | − | 9.48876e6i | 0.0648315 | − | 0.112292i | ||||
\(185\) | −6.50914e7 | + | 1.12742e8i | −0.755828 | + | 1.30913i | ||||
\(186\) | 9.29787e6 | + | 1.61044e7i | 0.105947 | + | 0.183505i | ||||
\(187\) | 3.66770e6 | 0.0410156 | ||||||||
\(188\) | 2.49712e7 | + | 4.32514e7i | 0.274086 | + | 0.474731i | ||||
\(189\) | 1.90609e7 | + | 3.30144e7i | 0.205365 | + | 0.355702i | ||||
\(190\) | 6.39243e7 | 0.676127 | ||||||||
\(191\) | −2.47691e7 | − | 4.29013e7i | −0.257213 | − | 0.445506i | 0.708281 | − | 0.705931i | \(-0.249471\pi\) |
−0.965494 | + | 0.260424i | \(0.916138\pi\) | |||||||
\(192\) | −1.32977e7 | + | 2.30322e7i | −0.135588 | + | 0.234845i | ||||
\(193\) | −3.43319e7 | + | 5.94645e7i | −0.343753 | + | 0.595398i | −0.985126 | − | 0.171831i | \(-0.945032\pi\) |
0.641373 | + | 0.767229i | \(0.278365\pi\) | |||||||
\(194\) | 3.17148e6 | 0.0311858 | ||||||||
\(195\) | 8.04581e7 | + | 1.56012e7i | 0.777049 | + | 0.150673i | ||||
\(196\) | −1.32329e7 | −0.125534 | ||||||||
\(197\) | 9.30989e7 | − | 1.61252e8i | 0.867586 | − | 1.50270i | 0.00313046 | − | 0.999995i | \(-0.499004\pi\) |
0.864456 | − | 0.502709i | \(-0.167663\pi\) | |||||||
\(198\) | 8.96587e6 | − | 1.55294e7i | 0.0820851 | − | 0.142176i | ||||
\(199\) | −2.89774e7 | − | 5.01902e7i | −0.260659 | − | 0.451475i | 0.705758 | − | 0.708453i | \(-0.250607\pi\) |
−0.966417 | + | 0.256978i | \(0.917273\pi\) | |||||||
\(200\) | −672976. | −0.00594832 | ||||||||
\(201\) | −3.39209e6 | − | 5.87527e6i | −0.0294633 | − | 0.0510319i | ||||
\(202\) | 1.33417e7 | + | 2.31086e7i | 0.113889 | + | 0.197262i | ||||
\(203\) | −2.53352e7 | −0.212563 | ||||||||
\(204\) | −1.38468e6 | − | 2.39833e6i | −0.0114194 | − | 0.0197790i | ||||
\(205\) | 2.44881e7 | − | 4.24147e7i | 0.198526 | − | 0.343857i | ||||
\(206\) | 1.08740e7 | − | 1.88344e7i | 0.0866672 | − | 0.150112i | ||||
\(207\) | −9.58907e6 | −0.0751415 | ||||||||
\(208\) | −8.29332e7 | − | 1.60811e7i | −0.639009 | − | 0.123907i | ||||
\(209\) | 3.17204e8 | 2.40340 | ||||||||
\(210\) | −6.99067e6 | + | 1.21082e7i | −0.0520896 | + | 0.0902219i | ||||
\(211\) | −1.27779e8 | + | 2.21319e8i | −0.936418 | + | 1.62192i | −0.164332 | + | 0.986405i | \(0.552547\pi\) |
−0.772086 | + | 0.635518i | \(0.780787\pi\) | |||||||
\(212\) | −2.11132e7 | − | 3.65691e7i | −0.152187 | − | 0.263596i | ||||
\(213\) | −1.92736e7 | −0.136658 | ||||||||
\(214\) | −1.13779e7 | − | 1.97070e7i | −0.0793619 | − | 0.137459i | ||||
\(215\) | 7.84199e7 | + | 1.35827e8i | 0.538136 | + | 0.932079i | ||||
\(216\) | −1.05299e8 | −0.710948 | ||||||||
\(217\) | 2.19676e7 | + | 3.80491e7i | 0.145940 | + | 0.252776i | ||||
\(218\) | 1.13307e7 | − | 1.96253e7i | 0.0740728 | − | 0.128298i | ||||
\(219\) | 7.83705e7 | − | 1.35742e8i | 0.504194 | − | 0.873290i | ||||
\(220\) | −1.73354e8 | −1.09763 | ||||||||
\(221\) | 3.47060e6 | − | 3.99617e6i | 0.0216287 | − | 0.0249041i | ||||
\(222\) | −6.73112e7 | −0.412907 | ||||||||
\(223\) | 1.49351e8 | − | 2.58683e8i | 0.901862 | − | 1.56207i | 0.0767865 | − | 0.997048i | \(-0.475534\pi\) |
0.825075 | − | 0.565023i | \(-0.191133\pi\) | |||||||
\(224\) | 2.80037e7 | − | 4.85039e7i | 0.166475 | − | 0.288342i | ||||
\(225\) | 294488. | + | 510068.i | 0.00172357 | + | 0.00298531i | ||||
\(226\) | 5.75311e7 | 0.331530 | ||||||||
\(227\) | −1.32419e8 | − | 2.29356e8i | −0.751380 | − | 1.30143i | −0.947154 | − | 0.320780i | \(-0.896055\pi\) |
0.195773 | − | 0.980649i | \(-0.437278\pi\) | |||||||
\(228\) | −1.19755e8 | − | 2.07422e8i | −0.669147 | − | 1.15900i | ||||
\(229\) | −3.18543e8 | −1.75285 | −0.876423 | − | 0.481541i | \(-0.840077\pi\) | ||||
−0.876423 | + | 0.481541i | \(0.840077\pi\) | |||||||
\(230\) | −6.39637e6 | − | 1.10788e7i | −0.0346646 | − | 0.0600408i | ||||
\(231\) | −3.46890e7 | + | 6.00831e7i | −0.185161 | + | 0.320708i | ||||
\(232\) | 3.49903e7 | − | 6.06050e7i | 0.183967 | − | 0.318640i | ||||
\(233\) | −4.37163e7 | −0.226411 | −0.113206 | − | 0.993572i | \(-0.536112\pi\) | ||||
−0.113206 | + | 0.993572i | \(0.536112\pi\) | |||||||
\(234\) | −8.43605e6 | − | 2.44636e7i | −0.0430411 | − | 0.124814i | ||||
\(235\) | 1.24670e8 | 0.626649 | ||||||||
\(236\) | −5.32009e7 | + | 9.21467e7i | −0.263467 | + | 0.456339i | ||||
\(237\) | 1.04031e8 | − | 1.80186e8i | 0.507624 | − | 0.879230i | ||||
\(238\) | 451466. | + | 781962.i | 0.00217073 | + | 0.00375981i | ||||
\(239\) | 2.06885e8 | 0.980248 | 0.490124 | − | 0.871653i | \(-0.336952\pi\) | ||||
0.490124 | + | 0.871653i | \(0.336952\pi\) | |||||||
\(240\) | 5.51689e7 | + | 9.55553e7i | 0.257605 | + | 0.446186i | ||||
\(241\) | −1.39251e8 | − | 2.41190e8i | −0.640824 | − | 1.10994i | −0.985249 | − | 0.171126i | \(-0.945259\pi\) |
0.344425 | − | 0.938814i | \(-0.388074\pi\) | |||||||
\(242\) | 4.19336e7 | 0.190199 | ||||||||
\(243\) | 7.94888e7 | + | 1.37679e8i | 0.355372 | + | 0.615523i | ||||
\(244\) | −1.09733e6 | + | 1.90064e6i | −0.00483587 | + | 0.00837598i | ||||
\(245\) | −1.65165e7 | + | 2.86075e7i | −0.0717526 | + | 0.124279i | ||||
\(246\) | 2.53232e7 | 0.108454 | ||||||||
\(247\) | 3.00157e8 | − | 3.45611e8i | 1.26739 | − | 1.45931i | ||||
\(248\) | −1.21358e8 | −0.505226 | ||||||||
\(249\) | 9.20392e7 | − | 1.59417e8i | 0.377812 | − | 0.654389i | ||||
\(250\) | 4.28179e7 | − | 7.41629e7i | 0.173315 | − | 0.300190i | ||||
\(251\) | 1.21821e8 | + | 2.11000e8i | 0.486255 | + | 0.842218i | 0.999875 | − | 0.0157993i | \(-0.00502927\pi\) |
−0.513620 | + | 0.858018i | \(0.671696\pi\) | |||||||
\(252\) | −3.19895e7 | −0.125923 | ||||||||
\(253\) | −3.17400e7 | − | 5.49752e7i | −0.123221 | − | 0.213425i | ||||
\(254\) | 5.64135e7 | + | 9.77111e7i | 0.216006 | + | 0.374133i | ||||
\(255\) | −6.91308e6 | −0.0261084 | ||||||||
\(256\) | 581959. | + | 1.00798e6i | 0.00216796 | + | 0.00375503i | ||||
\(257\) | −1.19110e7 | + | 2.06304e7i | −0.0437705 | + | 0.0758127i | −0.887081 | − | 0.461614i | \(-0.847270\pi\) |
0.843310 | + | 0.537427i | \(0.180604\pi\) | |||||||
\(258\) | −4.05472e7 | + | 7.02297e7i | −0.146991 | + | 0.254596i | ||||
\(259\) | −1.59033e8 | −0.568772 | ||||||||
\(260\) | −1.64038e8 | + | 1.88879e8i | −0.578812 | + | 0.666464i | ||||
\(261\) | −6.12457e7 | −0.213223 | ||||||||
\(262\) | −9.50747e7 | + | 1.64674e8i | −0.326596 | + | 0.565681i | ||||
\(263\) | 1.64147e7 | − | 2.84311e7i | 0.0556401 | − | 0.0963715i | −0.836864 | − | 0.547411i | \(-0.815613\pi\) |
0.892504 | + | 0.451040i | \(0.148947\pi\) | |||||||
\(264\) | −9.58176e7 | − | 1.65961e8i | −0.320503 | − | 0.555127i | ||||
\(265\) | −1.05408e8 | −0.347949 | ||||||||
\(266\) | 3.90454e7 | + | 6.76286e7i | 0.127199 | + | 0.220315i | ||||
\(267\) | −1.65442e8 | − | 2.86555e8i | −0.531934 | − | 0.921336i | ||||
\(268\) | 2.07082e7 | 0.0657161 | ||||||||
\(269\) | 5.76212e7 | + | 9.98029e7i | 0.180489 | + | 0.312615i | 0.942047 | − | 0.335481i | \(-0.108899\pi\) |
−0.761558 | + | 0.648096i | \(0.775565\pi\) | |||||||
\(270\) | −6.14725e7 | + | 1.06474e8i | −0.190067 | + | 0.329207i | ||||
\(271\) | 2.62969e8 | − | 4.55476e8i | 0.802625 | − | 1.39019i | −0.115258 | − | 0.993336i | \(-0.536770\pi\) |
0.917883 | − | 0.396851i | \(-0.129897\pi\) | |||||||
\(272\) | 7.12575e6 | 0.0214704 | ||||||||
\(273\) | 3.26391e7 | + | 9.46498e7i | 0.0970887 | + | 0.281547i | ||||
\(274\) | −3.08307e7 | −0.0905433 | ||||||||
\(275\) | −1.94952e6 | + | 3.37666e6i | −0.00565279 | + | 0.00979092i | ||||
\(276\) | −2.39658e7 | + | 4.15099e7i | −0.0686135 | + | 0.118842i | ||||
\(277\) | 2.26865e8 | + | 3.92943e8i | 0.641341 | + | 1.11084i | 0.985134 | + | 0.171790i | \(0.0549551\pi\) |
−0.343792 | + | 0.939046i | \(0.611712\pi\) | |||||||
\(278\) | −1.12156e7 | −0.0313087 | ||||||||
\(279\) | 5.31049e7 | + | 9.19804e7i | 0.146393 | + | 0.253560i | ||||
\(280\) | −4.56218e7 | − | 7.90192e7i | −0.124199 | − | 0.215119i | ||||
\(281\) | 6.20358e8 | 1.66790 | 0.833950 | − | 0.551839i | \(-0.186074\pi\) | ||||
0.833950 | + | 0.551839i | \(0.186074\pi\) | |||||||
\(282\) | 3.22304e7 | + | 5.58247e7i | 0.0855843 | + | 0.148236i | ||||
\(283\) | −2.40931e8 | + | 4.17305e8i | −0.631888 | + | 1.09446i | 0.355277 | + | 0.934761i | \(0.384387\pi\) |
−0.987165 | + | 0.159702i | \(0.948947\pi\) | |||||||
\(284\) | 2.94157e7 | − | 5.09495e7i | 0.0762017 | − | 0.131985i | ||||
\(285\) | −5.97883e8 | −1.52989 | ||||||||
\(286\) | 1.12329e8 | − | 1.29340e8i | 0.283930 | − | 0.326927i | ||||
\(287\) | 5.98300e7 | 0.149394 | ||||||||
\(288\) | 6.76966e7 | − | 1.17254e8i | 0.166991 | − | 0.289237i | ||||
\(289\) | 2.04946e8 | − | 3.54977e8i | 0.499456 | − | 0.865083i | ||||
\(290\) | −4.08538e7 | − | 7.07609e7i | −0.0983649 | − | 0.170373i | ||||
\(291\) | −2.96628e7 | −0.0705647 | ||||||||
\(292\) | 2.39220e8 | + | 4.14342e8i | 0.562287 | + | 0.973910i | ||||
\(293\) | 1.11806e8 | + | 1.93654e8i | 0.259674 | + | 0.449769i | 0.966155 | − | 0.257964i | \(-0.0830515\pi\) |
−0.706480 | + | 0.707733i | \(0.749718\pi\) | |||||||
\(294\) | −1.70798e7 | −0.0391983 | ||||||||
\(295\) | 1.32804e8 | + | 2.30023e8i | 0.301186 | + | 0.521669i | ||||
\(296\) | 2.19640e8 | − | 3.80427e8i | 0.492255 | − | 0.852610i | ||||
\(297\) | −3.05038e8 | + | 5.28341e8i | −0.675626 | + | 1.17022i | ||||
\(298\) | −2.63163e8 | −0.576061 | ||||||||
\(299\) | −8.99328e7 | − | 1.74384e7i | −0.194567 | − | 0.0377274i | ||||
\(300\) | 2.94403e6 | 0.00629532 | ||||||||
\(301\) | −9.57988e7 | + | 1.65928e8i | −0.202478 | + | 0.350702i | ||||
\(302\) | −7.87554e6 | + | 1.36408e7i | −0.0164534 | + | 0.0284982i | ||||
\(303\) | −1.24785e8 | − | 2.16134e8i | −0.257700 | − | 0.446349i | ||||
\(304\) | 6.16276e8 | 1.25811 | ||||||||
\(305\) | 2.73925e6 | + | 4.74452e6i | 0.00552818 | + | 0.00957509i | ||||
\(306\) | 1.09138e6 | + | 1.89033e6i | 0.00217746 | + | 0.00377148i | ||||
\(307\) | −3.75385e8 | −0.740445 | −0.370223 | − | 0.928943i | \(-0.620719\pi\) | ||||
−0.370223 | + | 0.928943i | \(0.620719\pi\) | |||||||
\(308\) | −1.05886e8 | − | 1.83400e8i | −0.206495 | − | 0.357660i | ||||
\(309\) | −1.01705e8 | + | 1.76157e8i | −0.196104 | + | 0.339661i | ||||
\(310\) | −7.08471e7 | + | 1.22711e8i | −0.135069 | + | 0.233946i | ||||
\(311\) | −3.96905e8 | −0.748213 | −0.374106 | − | 0.927386i | \(-0.622050\pi\) | ||||
−0.374106 | + | 0.927386i | \(0.622050\pi\) | |||||||
\(312\) | −2.71492e8 | − | 5.26435e7i | −0.506076 | − | 0.0981304i | ||||
\(313\) | −3.69321e8 | −0.680768 | −0.340384 | − | 0.940287i | \(-0.610557\pi\) | ||||
−0.340384 | + | 0.940287i | \(0.610557\pi\) | |||||||
\(314\) | 6.81585e7 | − | 1.18054e8i | 0.124241 | − | 0.215192i | ||||
\(315\) | −3.99273e7 | + | 6.91561e7i | −0.0719752 | + | 0.124665i | ||||
\(316\) | 3.17546e8 | + | 5.50006e8i | 0.566112 | + | 0.980535i | ||||
\(317\) | 9.82340e8 | 1.73203 | 0.866013 | − | 0.500021i | \(-0.166674\pi\) | ||||
0.866013 | + | 0.500021i | \(0.166674\pi\) | |||||||
\(318\) | −2.72508e7 | − | 4.71998e7i | −0.0475209 | − | 0.0823086i | ||||
\(319\) | −2.02724e8 | − | 3.51129e8i | −0.349654 | − | 0.605618i | ||||
\(320\) | −2.02649e8 | −0.345716 | ||||||||
\(321\) | 1.06417e8 | + | 1.84319e8i | 0.179574 | + | 0.311031i | ||||
\(322\) | 7.81389e6 | − | 1.35341e7i | 0.0130428 | − | 0.0225908i | ||||
\(323\) | −1.93060e7 | + | 3.34390e7i | −0.0318774 | + | 0.0552134i | ||||
\(324\) | 2.56680e8 | 0.419260 | ||||||||
\(325\) | 1.83431e6 | + | 5.31931e6i | 0.00296402 | + | 0.00859534i | ||||
\(326\) | −3.56322e7 | −0.0569615 | ||||||||
\(327\) | −1.05976e8 | + | 1.83555e8i | −0.167606 | + | 0.290302i | ||||
\(328\) | −8.26309e7 | + | 1.43121e8i | −0.129296 | + | 0.223947i | ||||
\(329\) | 7.61493e7 | + | 1.31894e8i | 0.117891 | + | 0.204193i | ||||
\(330\) | −2.23748e8 | −0.342737 | ||||||||
\(331\) | −1.36664e7 | − | 2.36709e7i | −0.0207137 | − | 0.0358771i | 0.855483 | − | 0.517831i | \(-0.173261\pi\) |
−0.876196 | + | 0.481954i | \(0.839927\pi\) | |||||||
\(332\) | 2.80943e8 | + | 4.86608e8i | 0.421343 | + | 0.729787i | ||||
\(333\) | −3.84449e8 | −0.570537 | ||||||||
\(334\) | 1.17979e8 | + | 2.04346e8i | 0.173258 | + | 0.300092i | ||||
\(335\) | 2.58467e7 | − | 4.47679e7i | 0.0375620 | − | 0.0650593i | ||||
\(336\) | −6.73951e7 | + | 1.16732e8i | −0.0969261 | + | 0.167881i | ||||
\(337\) | 1.12817e8 | 0.160573 | 0.0802863 | − | 0.996772i | \(-0.474417\pi\) | ||||
0.0802863 | + | 0.996772i | \(0.474417\pi\) | |||||||
\(338\) | −3.46302e7 | − | 2.44778e8i | −0.0487806 | − | 0.344797i | ||||
\(339\) | −5.38088e8 | −0.750160 | ||||||||
\(340\) | 1.05508e7 | − | 1.82746e7i | 0.0145583 | − | 0.0252157i | ||||
\(341\) | −3.51556e8 | + | 6.08913e8i | −0.480125 | + | 0.831601i | ||||
\(342\) | 9.43889e7 | + | 1.63486e8i | 0.127594 | + | 0.220999i | ||||
\(343\) | −4.03536e7 | −0.0539949 | ||||||||
\(344\) | −2.64615e8 | − | 4.58326e8i | −0.350477 | − | 0.607044i | ||||
\(345\) | 5.98251e7 | + | 1.03620e8i | 0.0784363 | + | 0.135856i | ||||
\(346\) | 3.53889e8 | 0.459304 | ||||||||
\(347\) | −6.38996e8 | − | 1.10677e9i | −0.821004 | − | 1.42202i | −0.904936 | − | 0.425548i | \(-0.860081\pi\) |
0.0839321 | − | 0.996471i | \(-0.473252\pi\) | |||||||
\(348\) | −1.53070e8 | + | 2.65125e8i | −0.194699 | + | 0.337228i | ||||
\(349\) | 3.89347e7 | − | 6.74368e7i | 0.0490284 | − | 0.0849197i | −0.840470 | − | 0.541859i | \(-0.817721\pi\) |
0.889498 | + | 0.456939i | \(0.151054\pi\) | |||||||
\(350\) | −959882. | −0.00119669 | ||||||||
\(351\) | 2.87012e8 | + | 8.32303e8i | 0.354262 | + | 1.02732i | ||||
\(352\) | 8.96308e8 | 1.09536 | ||||||||
\(353\) | −5.36799e8 | + | 9.29764e8i | −0.649532 | + | 1.12502i | 0.333703 | + | 0.942678i | \(0.391702\pi\) |
−0.983235 | + | 0.182344i | \(0.941632\pi\) | |||||||
\(354\) | −6.86665e7 | + | 1.18934e8i | −0.0822685 | + | 0.142493i | ||||
\(355\) | −7.34296e7 | − | 1.27184e8i | −0.0871108 | − | 0.150880i | ||||
\(356\) | 1.01000e9 | 1.18645 | ||||||||
\(357\) | −4.22255e6 | − | 7.31368e6i | −0.00491175 | − | 0.00850740i | ||||
\(358\) | −9.93345e7 | − | 1.72052e8i | −0.114422 | − | 0.198185i | ||||
\(359\) | 1.52679e9 | 1.74160 | 0.870800 | − | 0.491637i | \(-0.163601\pi\) | ||||
0.870800 | + | 0.491637i | \(0.163601\pi\) | |||||||
\(360\) | −1.10287e8 | − | 1.91022e8i | −0.124585 | − | 0.215787i | ||||
\(361\) | −1.22276e9 | + | 2.11788e9i | −1.36794 | + | 2.36933i | ||||
\(362\) | 2.13883e7 | − | 3.70456e7i | 0.0236972 | − | 0.0410447i | ||||
\(363\) | −3.92204e8 | −0.430367 | ||||||||
\(364\) | −3.00019e8 | − | 5.81751e7i | −0.326058 | − | 0.0632240i | ||||
\(365\) | 1.19432e9 | 1.28557 | ||||||||
\(366\) | −1.41633e6 | + | 2.45316e6i | −0.00151002 | + | 0.00261542i | ||||
\(367\) | −8.46471e8 | + | 1.46613e9i | −0.893883 | + | 1.54825i | −0.0587030 | + | 0.998275i | \(0.518696\pi\) |
−0.835180 | + | 0.549976i | \(0.814637\pi\) | |||||||
\(368\) | −6.16656e7 | − | 1.06808e8i | −0.0645023 | − | 0.111721i | ||||
\(369\) | 1.44634e8 | 0.149857 | ||||||||
\(370\) | −2.56446e8 | − | 4.44177e8i | −0.263202 | − | 0.455880i | ||||
\(371\) | −6.43842e7 | − | 1.11517e8i | −0.0654592 | − | 0.113379i | ||||
\(372\) | 5.30896e8 | 0.534699 | ||||||||
\(373\) | 4.25820e7 | + | 7.37542e7i | 0.0424859 | + | 0.0735878i | 0.886486 | − | 0.462755i | \(-0.153139\pi\) |
−0.844000 | + | 0.536342i | \(0.819806\pi\) | |||||||
\(374\) | −7.22497e6 | + | 1.25140e7i | −0.00714144 | + | 0.0123693i | ||||
\(375\) | −4.00476e8 | + | 6.93644e8i | −0.392163 | + | 0.679246i | ||||
\(376\) | −4.20677e8 | −0.408124 | ||||||||
\(377\) | −5.74404e8 | − | 1.11379e8i | −0.552106 | − | 0.107056i | ||||
\(378\) | −1.50191e8 | −0.143029 | ||||||||
\(379\) | 3.54081e8 | − | 6.13286e8i | 0.334091 | − | 0.578663i | −0.649219 | − | 0.760602i | \(-0.724904\pi\) |
0.983310 | + | 0.181939i | \(0.0582373\pi\) | |||||||
\(380\) | 9.12498e8 | − | 1.58049e9i | 0.853079 | − | 1.47758i | ||||
\(381\) | −5.27635e8 | − | 9.13890e8i | −0.488760 | − | 0.846558i | ||||
\(382\) | 1.95170e8 | 0.179139 | ||||||||
\(383\) | −3.66754e8 | − | 6.35237e8i | −0.333564 | − | 0.577750i | 0.649644 | − | 0.760239i | \(-0.274918\pi\) |
−0.983208 | + | 0.182489i | \(0.941585\pi\) | |||||||
\(384\) | −4.37473e8 | − | 7.57725e8i | −0.394268 | − | 0.682892i | ||||
\(385\) | −5.28640e8 | −0.472115 | ||||||||
\(386\) | −1.35260e8 | − | 2.34277e8i | −0.119705 | − | 0.207336i | ||||
\(387\) | −2.31585e8 | + | 4.01118e8i | −0.203106 | + | 0.351790i | ||||
\(388\) | 4.52719e7 | − | 7.84132e7i | 0.0393475 | − | 0.0681519i | ||||
\(389\) | 1.07338e9 | 0.924552 | 0.462276 | − | 0.886736i | \(-0.347033\pi\) | ||||
0.462276 | + | 0.886736i | \(0.347033\pi\) | |||||||
\(390\) | −2.11724e8 | + | 2.43786e8i | −0.180736 | + | 0.208105i | ||||
\(391\) | 7.72716e6 | 0.00653734 | ||||||||
\(392\) | 5.57322e7 | − | 9.65309e7i | 0.0467310 | − | 0.0809404i | ||||
\(393\) | 8.89232e8 | − | 1.54020e9i | 0.738995 | − | 1.27998i | ||||
\(394\) | 3.66789e8 | + | 6.35298e8i | 0.302120 | + | 0.523288i | ||||
\(395\) | 1.58537e9 | 1.29431 | ||||||||
\(396\) | −2.55970e8 | − | 4.43353e8i | −0.207136 | − | 0.358770i | ||||
\(397\) | −7.94743e8 | − | 1.37654e9i | −0.637471 | − | 1.10413i | −0.985986 | − | 0.166828i | \(-0.946647\pi\) |
0.348515 | − | 0.937303i | \(-0.386686\pi\) | |||||||
\(398\) | 2.28329e8 | 0.181539 | ||||||||
\(399\) | −3.65191e8 | − | 6.32529e8i | −0.287816 | − | 0.498512i | ||||
\(400\) | −3.78760e6 | + | 6.56031e6i | −0.00295906 | + | 0.00512524i | ||||
\(401\) | 8.98908e8 | − | 1.55695e9i | 0.696162 | − | 1.20579i | −0.273626 | − | 0.961836i | \(-0.588223\pi\) |
0.969788 | − | 0.243951i | \(-0.0784437\pi\) | |||||||
\(402\) | 2.67282e7 | 0.0205200 | ||||||||
\(403\) | 3.30781e8 | + | 9.59229e8i | 0.251752 | + | 0.730054i | ||||
\(404\) | 7.61796e8 | 0.574783 | ||||||||
\(405\) | 3.20371e8 | − | 5.54899e8i | 0.239641 | − | 0.415070i | ||||
\(406\) | 4.99076e7 | − | 8.64425e7i | 0.0370105 | − | 0.0641042i | ||||
\(407\) | −1.27253e9 | − | 2.20409e9i | −0.935596 | − | 1.62050i | ||||
\(408\) | 2.33270e7 | 0.0170039 | ||||||||
\(409\) | −5.97600e8 | − | 1.03507e9i | −0.431895 | − | 0.748065i | 0.565141 | − | 0.824994i | \(-0.308822\pi\) |
−0.997037 | + | 0.0769294i | \(0.975488\pi\) | |||||||
\(410\) | 9.64778e7 | + | 1.67104e8i | 0.0691328 | + | 0.119741i | ||||
\(411\) | 2.88359e8 | 0.204874 | ||||||||
\(412\) | −3.10446e8 | − | 5.37708e8i | −0.218699 | − | 0.378797i | ||||
\(413\) | −1.62235e8 | + | 2.81000e8i | −0.113323 | + | 0.196282i | ||||
\(414\) | 1.88894e7 | − | 3.27174e7i | 0.0130833 | − | 0.0226609i | ||||
\(415\) | 1.40262e9 | 0.963325 | ||||||||
\(416\) | 8.48140e8 | − | 9.76577e8i | 0.577618 | − | 0.665089i | ||||
\(417\) | 1.04899e8 | 0.0708429 | ||||||||
\(418\) | −6.24857e8 | + | 1.08228e9i | −0.418470 | + | 0.724811i | ||||
\(419\) | 9.01534e8 | − | 1.56150e9i | 0.598733 | − | 1.03704i | −0.394276 | − | 0.918992i | \(-0.629004\pi\) |
0.993008 | − | 0.118044i | \(-0.0376622\pi\) | |||||||
\(420\) | 1.99579e8 | + | 3.45681e8i | 0.131444 | + | 0.227668i | ||||
\(421\) | −2.04956e9 | −1.33867 | −0.669336 | − | 0.742960i | \(-0.733421\pi\) | ||||
−0.669336 | + | 0.742960i | \(0.733421\pi\) | |||||||
\(422\) | −5.03420e8 | − | 8.71949e8i | −0.326089 | − | 0.564803i | ||||
\(423\) | 1.84084e8 | + | 3.18843e8i | 0.118257 | + | 0.204826i | ||||
\(424\) | 3.55683e8 | 0.226612 | ||||||||
\(425\) | −237307. | − | 411028.i | −0.000149951 | − | 0.000259723i | ||||
\(426\) | 3.79669e7 | − | 6.57606e7i | 0.0237942 | − | 0.0412128i | ||||
\(427\) | −3.34630e6 | + | 5.79597e6i | −0.00208002 | + | 0.00360270i | ||||
\(428\) | −6.49661e8 | −0.400528 | ||||||||
\(429\) | −1.05061e9 | + | 1.20971e9i | −0.642455 | + | 0.739744i | ||||
\(430\) | −6.17915e8 | −0.374791 | ||||||||
\(431\) | −8.79544e8 | + | 1.52342e9i | −0.529160 | + | 0.916533i | 0.470261 | + | 0.882527i | \(0.344160\pi\) |
−0.999422 | + | 0.0340053i | \(0.989174\pi\) | |||||||
\(432\) | −5.92639e8 | + | 1.02648e9i | −0.353669 | + | 0.612573i | ||||
\(433\) | −2.11370e8 | − | 3.66103e8i | −0.125122 | − | 0.216718i | 0.796658 | − | 0.604430i | \(-0.206599\pi\) |
−0.921781 | + | 0.387712i | \(0.873266\pi\) | |||||||
\(434\) | −1.73095e8 | −0.101642 | ||||||||
\(435\) | 3.82105e8 | + | 6.61826e8i | 0.222572 | + | 0.385506i | ||||
\(436\) | −3.23484e8 | − | 5.60290e8i | −0.186917 | − | 0.323750i | ||||
\(437\) | 6.68289e8 | 0.383071 | ||||||||
\(438\) | 3.08762e8 | + | 5.34792e8i | 0.175576 | + | 0.304107i | ||||
\(439\) | −4.27906e8 | + | 7.41155e8i | −0.241392 | + | 0.418103i | −0.961111 | − | 0.276162i | \(-0.910937\pi\) |
0.719719 | + | 0.694265i | \(0.244271\pi\) | |||||||
\(440\) | 7.30102e8 | − | 1.26457e9i | 0.408601 | − | 0.707717i | ||||
\(441\) | −9.75514e7 | −0.0541625 | ||||||||
\(442\) | 6.79802e6 | + | 1.97135e7i | 0.00374459 | + | 0.0108589i | ||||
\(443\) | 3.12257e8 | 0.170647 | 0.0853235 | − | 0.996353i | \(-0.472808\pi\) | ||||
0.0853235 | + | 0.996353i | \(0.472808\pi\) | |||||||
\(444\) | −9.60846e8 | + | 1.66423e9i | −0.520971 | + | 0.902348i | ||||
\(445\) | 1.26062e9 | − | 2.18346e9i | 0.678149 | − | 1.17459i | ||||
\(446\) | 5.88409e8 | + | 1.01915e9i | 0.314056 | + | 0.543961i | ||||
\(447\) | 2.46136e9 | 1.30346 | ||||||||
\(448\) | −1.23779e8 | − | 2.14392e8i | −0.0650391 | − | 0.112651i | ||||
\(449\) | 8.92791e8 | + | 1.54636e9i | 0.465466 | + | 0.806211i | 0.999222 | − | 0.0394277i | \(-0.0125535\pi\) |
−0.533757 | + | 0.845638i | \(0.679220\pi\) | |||||||
\(450\) | −2.32043e6 | −0.00120040 | ||||||||
\(451\) | 4.78741e8 | + | 8.29203e8i | 0.245744 | + | 0.425641i | ||||
\(452\) | 8.21238e8 | − | 1.42243e9i | 0.418297 | − | 0.724511i | ||||
\(453\) | 7.36598e7 | − | 1.27583e8i | 0.0372295 | − | 0.0644833i | ||||
\(454\) | 1.04340e9 | 0.523307 | ||||||||
\(455\) | −5.00230e8 | + | 5.75982e8i | −0.248960 | + | 0.286661i | ||||
\(456\) | 2.01745e9 | 0.996383 | ||||||||
\(457\) | −1.80721e9 | + | 3.13018e9i | −0.885732 | + | 1.53413i | −0.0408595 | + | 0.999165i | \(0.513010\pi\) |
−0.844872 | + | 0.534968i | \(0.820324\pi\) | |||||||
\(458\) | 6.27495e8 | − | 1.08685e9i | 0.305198 | − | 0.528618i | ||||
\(459\) | −3.71311e7 | − | 6.43129e7i | −0.0179223 | − | 0.0310423i | ||||
\(460\) | −3.65224e8 | −0.174947 | ||||||||
\(461\) | −9.05855e8 | − | 1.56899e9i | −0.430631 | − | 0.745875i | 0.566297 | − | 0.824201i | \(-0.308376\pi\) |
−0.996928 | + | 0.0783266i | \(0.975042\pi\) | |||||||
\(462\) | −1.36667e8 | − | 2.36714e8i | −0.0644788 | − | 0.111681i | ||||
\(463\) | −2.78556e9 | −1.30430 | −0.652152 | − | 0.758088i | \(-0.726134\pi\) | ||||
−0.652152 | + | 0.758088i | \(0.726134\pi\) | |||||||
\(464\) | −3.93860e8 | − | 6.82186e8i | −0.183033 | − | 0.317022i | ||||
\(465\) | 6.62631e8 | − | 1.14771e9i | 0.305623 | − | 0.529355i | ||||
\(466\) | 8.61163e7 | − | 1.49158e8i | 0.0394216 | − | 0.0682803i | ||||
\(467\) | 1.56540e9 | 0.711242 | 0.355621 | − | 0.934630i | \(-0.384269\pi\) | ||||
0.355621 | + | 0.934630i | \(0.384269\pi\) | |||||||
\(468\) | −7.25271e8 | − | 1.40633e8i | −0.327069 | − | 0.0634202i | ||||
\(469\) | 6.31494e7 | 0.0282660 | ||||||||
\(470\) | −2.45586e8 | + | 4.25368e8i | −0.109109 | + | 0.188983i | ||||
\(471\) | −6.37485e8 | + | 1.10416e9i | −0.281123 | + | 0.486920i | ||||
\(472\) | −4.48124e8 | − | 7.76174e8i | −0.196156 | − | 0.339752i | ||||
\(473\) | −3.06621e9 | −1.33226 | ||||||||
\(474\) | 4.09858e8 | + | 7.09895e8i | 0.176770 | + | 0.306175i | ||||
\(475\) | −2.05237e7 | − | 3.55481e7i | −0.00878674 | − | 0.0152191i | ||||
\(476\) | 2.57781e7 | 0.0109554 | ||||||||
\(477\) | −1.55643e8 | − | 2.69582e8i | −0.0656623 | − | 0.113730i | ||||
\(478\) | −4.07540e8 | + | 7.05881e8i | −0.170676 | + | 0.295620i | ||||
\(479\) | −4.94955e8 | + | 8.57288e8i | −0.205775 | + | 0.356412i | −0.950379 | − | 0.311094i | \(-0.899305\pi\) |
0.744605 | + | 0.667506i | \(0.232638\pi\) | |||||||
\(480\) | −1.68941e9 | −0.697253 | ||||||||
\(481\) | −3.60562e9 | − | 6.99146e8i | −1.47731 | − | 0.286458i | ||||
\(482\) | 1.09724e9 | 0.446309 | ||||||||
\(483\) | −7.30832e7 | + | 1.26584e8i | −0.0295123 | + | 0.0511167i | ||||
\(484\) | 5.98588e8 | − | 1.03679e9i | 0.239977 | − | 0.415652i | ||||
\(485\) | −1.13011e8 | − | 1.95741e8i | −0.0449806 | − | 0.0779086i | ||||
\(486\) | −6.26337e8 | −0.247503 | ||||||||
\(487\) | −2.27359e8 | − | 3.93798e8i | −0.0891993 | − | 0.154498i | 0.817974 | − | 0.575256i | \(-0.195097\pi\) |
−0.907173 | + | 0.420758i | \(0.861764\pi\) | |||||||
\(488\) | −9.24312e6 | − | 1.60096e7i | −0.00360039 | − | 0.00623606i | ||||
\(489\) | 3.33267e8 | 0.128888 | ||||||||
\(490\) | −6.50715e7 | − | 1.12707e8i | −0.0249864 | − | 0.0432778i | ||||
\(491\) | −2.29862e9 | + | 3.98133e9i | −0.876360 | + | 1.51790i | −0.0210522 | + | 0.999778i | \(0.506702\pi\) |
−0.855307 | + | 0.518121i | \(0.826632\pi\) | |||||||
\(492\) | 3.61481e8 | − | 6.26103e8i | 0.136838 | − | 0.237011i | ||||
\(493\) | 4.93536e7 | 0.0185505 | ||||||||
\(494\) | 5.87932e8 | + | 1.70494e9i | 0.219423 | + | 0.636304i | ||||
\(495\) | −1.27794e9 | −0.473579 | ||||||||
\(496\) | −6.83016e8 | + | 1.18302e9i | −0.251330 | + | 0.435317i | ||||
\(497\) | 8.97026e7 | − | 1.55369e8i | 0.0327761 | − | 0.0567699i | ||||
\(498\) | 3.62614e8 | + | 6.28066e8i | 0.131566 | + | 0.227878i | ||||
\(499\) | 5.11523e9 | 1.84295 | 0.921475 | − | 0.388437i | \(-0.126985\pi\) | ||||
0.921475 | + | 0.388437i | \(0.126985\pi\) | |||||||
\(500\) | −1.22242e9 | − | 2.11730e9i | −0.437348 | − | 0.757508i | ||||
\(501\) | −1.10346e9 | − | 1.91125e9i | −0.392035 | − | 0.679024i | ||||
\(502\) | −9.59896e8 | −0.338658 | ||||||||
\(503\) | 2.16429e9 | + | 3.74865e9i | 0.758275 | + | 1.31337i | 0.943730 | + | 0.330718i | \(0.107291\pi\) |
−0.185454 | + | 0.982653i | \(0.559376\pi\) | |||||||
\(504\) | 1.34728e8 | − | 2.33355e8i | 0.0468760 | − | 0.0811915i | ||||
\(505\) | 9.50826e8 | − | 1.64688e9i | 0.328535 | − | 0.569039i | ||||
\(506\) | 2.50097e8 | 0.0858187 | ||||||||
\(507\) | 3.23896e8 | + | 2.28940e9i | 0.110377 | + | 0.780179i | ||||
\(508\) | 3.22114e9 | 1.09015 | ||||||||
\(509\) | 1.75460e9 | − | 3.03906e9i | 0.589748 | − | 1.02147i | −0.404517 | − | 0.914530i | \(-0.632560\pi\) |
0.994265 | − | 0.106943i | \(-0.0341062\pi\) | |||||||
\(510\) | 1.36180e7 | − | 2.35871e7i | 0.00454588 | − | 0.00787369i | ||||
\(511\) | 7.29498e8 | + | 1.26353e9i | 0.241853 | + | 0.418901i | ||||
\(512\) | 3.03468e9 | 0.999236 | ||||||||
\(513\) | −3.21131e9 | − | 5.56215e9i | −1.05020 | − | 1.81900i | ||||
\(514\) | −4.69266e7 | − | 8.12793e7i | −0.0152422 | − | 0.0264003i | ||||
\(515\) | −1.54992e9 | −0.500015 | ||||||||
\(516\) | 1.15759e9 | + | 2.00501e9i | 0.370922 | + | 0.642455i | ||||
\(517\) | −1.21864e9 | + | 2.11075e9i | −0.387847 | + | 0.671770i | ||||
\(518\) | 3.13278e8 | − | 5.42613e8i | 0.0990320 | − | 0.171528i | ||||
\(519\) | −3.30992e9 | −1.03928 | ||||||||
\(520\) | −6.86957e8 | − | 1.99210e9i | −0.214249 | − | 0.621297i | ||||
\(521\) | −1.24518e9 | −0.385745 | −0.192873 | − | 0.981224i | \(-0.561780\pi\) | ||||
−0.192873 | + | 0.981224i | \(0.561780\pi\) | |||||||
\(522\) | 1.20647e8 | − | 2.08967e8i | 0.0371254 | − | 0.0643031i | ||||
\(523\) | −6.47259e8 | + | 1.12108e9i | −0.197844 | + | 0.342675i | −0.947829 | − | 0.318779i | \(-0.896727\pi\) |
0.749985 | + | 0.661454i | \(0.230060\pi\) | |||||||
\(524\) | 2.71432e9 | + | 4.70134e9i | 0.824141 | + | 1.42745i | ||||
\(525\) | 8.97776e6 | 0.00270776 | ||||||||
\(526\) | 6.46703e7 | + | 1.12012e8i | 0.0193756 | + | 0.0335595i | ||||
\(527\) | −4.27935e7 | − | 7.41206e7i | −0.0127362 | − | 0.0220598i | ||||
\(528\) | −2.15709e9 | −0.637750 | ||||||||
\(529\) | 1.63554e9 | + | 2.83284e9i | 0.480360 | + | 0.832008i | ||||
\(530\) | 2.07643e8 | − | 3.59649e8i | 0.0605832 | − | 0.104933i | ||||
\(531\) | −3.92190e8 | + | 6.79292e8i | −0.113675 | + | 0.196891i | ||||
\(532\) | 2.22944e9 | 0.641956 | ||||||||
\(533\) | 1.35648e9 | + | 2.63027e8i | 0.388031 | + | 0.0752410i | ||||
\(534\) | 1.30361e9 | 0.370471 | ||||||||
\(535\) | −8.10865e8 | + | 1.40446e9i | −0.228934 | + | 0.396526i | ||||
\(536\) | −8.72154e7 | + | 1.51061e8i | −0.0244634 | + | 0.0423718i | ||||
\(537\) | 9.29074e8 | + | 1.60920e9i | 0.258905 | + | 0.448436i | ||||
\(538\) | −4.54030e8 | −0.125703 | ||||||||
\(539\) | −3.22897e8 | − | 5.59274e8i | −0.0888184 | − | 0.153838i | ||||
\(540\) | 1.75500e9 | + | 3.03975e9i | 0.479622 | + | 0.830729i | ||||
\(541\) | −1.41291e9 | −0.383641 | −0.191820 | − | 0.981430i | \(-0.561439\pi\) | ||||
−0.191820 | + | 0.981430i | \(0.561439\pi\) | |||||||
\(542\) | 1.03604e9 | + | 1.79448e9i | 0.279499 | + | 0.484106i | ||||
\(543\) | −2.00044e8 | + | 3.46487e8i | −0.0536200 | + | 0.0928726i | ||||
\(544\) | −5.45520e7 | + | 9.44868e7i | −0.0145283 | + | 0.0251637i | ||||
\(545\) | −1.61501e9 | −0.427353 | ||||||||
\(546\) | −3.87236e8 | − | 7.50867e7i | −0.101813 | − | 0.0197419i | ||||
\(547\) | 6.49585e9 | 1.69700 | 0.848498 | − | 0.529199i | \(-0.177508\pi\) | ||||
0.848498 | + | 0.529199i | \(0.177508\pi\) | |||||||
\(548\) | −4.40098e8 | + | 7.62272e8i | −0.114240 | + | 0.197869i | ||||
\(549\) | −8.08940e6 | + | 1.40113e7i | −0.00208647 | + | 0.00361388i | ||||
\(550\) | −7.68067e6 | − | 1.33033e7i | −0.00196847 | − | 0.00340950i | ||||
\(551\) | 4.26839e9 | 1.08701 | ||||||||
\(552\) | −2.01870e8 | − | 3.49648e8i | −0.0510839 | − | 0.0884799i | ||||
\(553\) | 9.68352e8 | + | 1.67723e9i | 0.243498 | + | 0.421751i | ||||
\(554\) | −1.78760e9 | −0.446669 | ||||||||
\(555\) | 2.39853e9 | + | 4.15438e9i | 0.595553 | + | 1.03153i | ||||
\(556\) | −1.60099e8 | + | 2.77299e8i | −0.0395027 | + | 0.0684206i | ||||
\(557\) | 1.39415e9 | − | 2.41475e9i | 0.341836 | − | 0.592077i | −0.642938 | − | 0.765918i | \(-0.722285\pi\) |
0.984774 | + | 0.173841i | \(0.0556179\pi\) | |||||||
\(558\) | −4.18443e8 | −0.101957 | ||||||||
\(559\) | −2.90143e9 | + | 3.34080e9i | −0.702539 | + | 0.808927i | ||||
\(560\) | −1.02706e9 | −0.247137 | ||||||||
\(561\) | 6.75751e7 | − | 1.17043e8i | 0.0161591 | − | 0.0279883i | ||||
\(562\) | −1.22204e9 | + | 2.11663e9i | −0.290407 | + | 0.503000i | ||||
\(563\) | 5.98612e8 | + | 1.03683e9i | 0.141373 | + | 0.244865i | 0.928014 | − | 0.372546i | \(-0.121515\pi\) |
−0.786641 | + | 0.617411i | \(0.788182\pi\) | |||||||
\(564\) | 1.84031e9 | 0.431932 | ||||||||
\(565\) | −2.05003e9 | − | 3.55076e9i | −0.478180 | − | 0.828232i | ||||
\(566\) | −9.49216e8 | − | 1.64409e9i | −0.220043 | − | 0.381126i | ||||
\(567\) | 7.82739e8 | 0.180334 | ||||||||
\(568\) | 2.47776e8 | + | 4.29160e8i | 0.0567335 | + | 0.0982652i | ||||
\(569\) | −7.42629e8 | + | 1.28627e9i | −0.168997 | + | 0.292711i | −0.938067 | − | 0.346453i | \(-0.887386\pi\) |
0.769070 | + | 0.639164i | \(0.220719\pi\) | |||||||
\(570\) | 1.17776e9 | − | 2.03995e9i | 0.266377 | − | 0.461378i | ||||
\(571\) | 4.58955e9 | 1.03168 | 0.515838 | − | 0.856686i | \(-0.327481\pi\) | ||||
0.515838 | + | 0.856686i | \(0.327481\pi\) | |||||||
\(572\) | −1.59439e9 | − | 4.62356e9i | −0.356212 | − | 1.03298i | ||||
\(573\) | −1.82542e9 | −0.405342 | ||||||||
\(574\) | −1.17859e8 | + | 2.04137e8i | −0.0260117 | + | 0.0450537i | ||||
\(575\) | −4.10727e6 | + | 7.11400e6i | −0.000900981 | + | 0.00156054i | ||||
\(576\) | −2.99226e8 | − | 5.18274e8i | −0.0652409 | − | 0.113001i | ||||
\(577\) | −3.02370e9 | −0.655275 | −0.327638 | − | 0.944803i | \(-0.606253\pi\) | ||||
−0.327638 | + | 0.944803i | \(0.606253\pi\) | |||||||
\(578\) | 8.07443e8 | + | 1.39853e9i | 0.173926 | + | 0.301249i | ||||
\(579\) | 1.26508e9 | + | 2.19119e9i | 0.270860 | + | 0.469143i | ||||
\(580\) | −2.33270e9 | −0.496433 | ||||||||
\(581\) | 8.56732e8 | + | 1.48390e9i | 0.181229 | + | 0.313898i | ||||
\(582\) | 5.84325e7 | − | 1.01208e8i | 0.0122864 | − | 0.0212807i | ||||
\(583\) | 1.03036e9 | − | 1.78464e9i | 0.215353 | − | 0.373002i | ||||
\(584\) | −4.03003e9 | −0.837265 | ||||||||
\(585\) | −1.20926e9 | + | 1.39239e9i | −0.249733 | + | 0.287551i | ||||
\(586\) | −8.80983e8 | −0.180853 | ||||||||
\(587\) | 3.79474e9 | − | 6.57268e9i | 0.774370 | − | 1.34125i | −0.160778 | − | 0.986991i | \(-0.551400\pi\) |
0.935148 | − | 0.354257i | \(-0.115266\pi\) | |||||||
\(588\) | −2.43808e8 | + | 4.22288e8i | −0.0494570 | + | 0.0856621i | ||||
\(589\) | −3.70103e9 | − | 6.41038e9i | −0.746310 | − | 1.29265i | ||||
\(590\) | −1.04644e9 | −0.209764 | ||||||||
\(591\) | −3.43057e9 | − | 5.94193e9i | −0.683613 | − | 1.18405i | ||||
\(592\) | −2.47232e9 | − | 4.28219e9i | −0.489755 | − | 0.848281i | ||||
\(593\) | 9.40608e9 | 1.85232 | 0.926162 | − | 0.377125i | \(-0.123087\pi\) | ||||
0.926162 | + | 0.377125i | \(0.123087\pi\) | |||||||
\(594\) | −1.20178e9 | − | 2.08155e9i | −0.235274 | − | 0.407506i | ||||
\(595\) | 3.21746e7 | − | 5.57281e7i | 0.00626187 | − | 0.0108459i | ||||
\(596\) | −3.75657e9 | + | 6.50657e9i | −0.726825 | + | 1.25890i | ||||
\(597\) | −2.13556e9 | −0.410772 | ||||||||
\(598\) | 2.36657e8 | − | 2.72495e8i | 0.0452548 | − | 0.0521079i | ||||
\(599\) | −5.18983e9 | −0.986642 | −0.493321 | − | 0.869847i | \(-0.664217\pi\) | ||||
−0.493321 | + | 0.869847i | \(0.664217\pi\) | |||||||
\(600\) | −1.23991e7 | + | 2.14759e7i | −0.00234349 | + | 0.00405904i | ||||
\(601\) | −1.08356e9 | + | 1.87679e9i | −0.203607 | + | 0.352658i | −0.949688 | − | 0.313197i | \(-0.898600\pi\) |
0.746081 | + | 0.665855i | \(0.231933\pi\) | |||||||
\(602\) | −3.77426e8 | − | 6.53722e8i | −0.0705090 | − | 0.122125i | ||||
\(603\) | 1.52658e8 | 0.0283537 | ||||||||
\(604\) | 2.24842e8 | + | 3.89437e8i | 0.0415190 | + | 0.0719131i | ||||
\(605\) | −1.49424e9 | − | 2.58810e9i | −0.274332 | − | 0.475157i | ||||
\(606\) | 9.83252e8 | 0.179478 | ||||||||
\(607\) | 7.94678e8 | + | 1.37642e9i | 0.144222 | + | 0.249799i | 0.929082 | − | 0.369873i | \(-0.120599\pi\) |
−0.784861 | + | 0.619672i | \(0.787265\pi\) | |||||||
\(608\) | −4.71797e9 | + | 8.17177e9i | −0.851320 | + | 1.47453i | ||||
\(609\) | −4.66785e8 | + | 8.08495e8i | −0.0837445 | + | 0.145050i | ||||
\(610\) | −2.15841e7 | −0.00385016 | ||||||||
\(611\) | 1.14663e9 | + | 3.32510e9i | 0.203366 | + | 0.589740i | ||||
\(612\) | 6.23164e7 | 0.0109894 | ||||||||
\(613\) | −1.07371e9 | + | 1.85971e9i | −0.188267 | + | 0.326088i | −0.944672 | − | 0.328015i | \(-0.893620\pi\) |
0.756406 | + | 0.654103i | \(0.226954\pi\) | |||||||
\(614\) | 7.39468e8 | − | 1.28080e9i | 0.128923 | − | 0.223301i | ||||
\(615\) | −9.02355e8 | − | 1.56292e9i | −0.156428 | − | 0.270941i | ||||
\(616\) | 1.78380e9 | 0.307478 | ||||||||
\(617\) | −4.50821e9 | − | 7.80846e9i | −0.772692 | − | 1.33834i | −0.936082 | − | 0.351781i | \(-0.885576\pi\) |
0.163390 | − | 0.986562i | \(-0.447757\pi\) | |||||||
\(618\) | −4.00694e8 | − | 6.94022e8i | −0.0682893 | − | 0.118281i | ||||
\(619\) | 4.83807e9 | 0.819889 | 0.409944 | − | 0.912110i | \(-0.365548\pi\) | ||||
0.409944 | + | 0.912110i | \(0.365548\pi\) | |||||||
\(620\) | 2.02264e9 | + | 3.50331e9i | 0.340837 | + | 0.590347i | ||||
\(621\) | −6.42658e8 | + | 1.11312e9i | −0.107686 | + | 0.186518i | ||||
\(622\) | 7.81859e8 | − | 1.35422e9i | 0.130275 | − | 0.225643i | ||||
\(623\) | 3.07999e9 | 0.510318 | ||||||||
\(624\) | −2.04117e9 | + | 2.35027e9i | −0.336305 | + | 0.387233i | ||||
\(625\) | −6.15850e9 | −1.00901 | ||||||||
\(626\) | 7.27522e8 | − | 1.26011e9i | 0.118532 | − | 0.205304i | ||||
\(627\) | 5.84428e9 | − | 1.01226e10i | 0.946879 | − | 1.64004i | ||||
\(628\) | −1.94588e9 | − | 3.37036e9i | −0.313514 | − | 0.543022i | ||||
\(629\) | 3.09801e8 | 0.0496369 | ||||||||
\(630\) | −1.57305e8 | − | 2.72460e8i | −0.0250640 | − | 0.0434121i | ||||
\(631\) | −5.78468e9 | − | 1.00194e10i | −0.916594 | − | 1.58759i | −0.804551 | − | 0.593884i | \(-0.797594\pi\) |
−0.112043 | − | 0.993703i | \(-0.535739\pi\) | |||||||
\(632\) | −5.34954e9 | −0.842960 | ||||||||
\(633\) | 4.70848e9 | + | 8.15532e9i | 0.737849 | + | 1.27799i | ||||
\(634\) | −1.93510e9 | + | 3.35170e9i | −0.301572 | + | 0.522339i | ||||
\(635\) | 4.02042e9 | − | 6.96357e9i | 0.623108 | − | 1.07926i | ||||
\(636\) | −1.55599e9 | −0.239831 | ||||||||
\(637\) | −9.14903e8 | − | 1.77404e8i | −0.140245 | − | 0.0271941i | ||||
\(638\) | 1.59738e9 | 0.243520 | ||||||||
\(639\) | 2.16848e8 | − | 3.75592e8i | 0.0328778 | − | 0.0569461i | ||||
\(640\) | 3.33341e9 | − | 5.77364e9i | 0.502642 | − | 0.870602i | ||||
\(641\) | −2.28098e9 | − | 3.95077e9i | −0.342073 | − | 0.592487i | 0.642745 | − | 0.766080i | \(-0.277796\pi\) |
−0.984817 | + | 0.173593i | \(0.944462\pi\) | |||||||
\(642\) | −8.38519e8 | −0.125066 | ||||||||
\(643\) | 3.52332e9 | + | 6.10256e9i | 0.522653 | + | 0.905261i | 0.999653 | + | 0.0263575i | \(0.00839083\pi\) |
−0.477000 | + | 0.878903i | \(0.658276\pi\) | |||||||
\(644\) | −2.23081e8 | − | 3.86388e8i | −0.0329126 | − | 0.0570064i | ||||
\(645\) | 5.77935e9 | 0.848047 | ||||||||
\(646\) | −7.60614e7 | − | 1.31742e8i | −0.0111007 | − | 0.0192270i | ||||
\(647\) | −1.50407e8 | + | 2.60513e8i | −0.0218325 | + | 0.0378151i | −0.876735 | − | 0.480973i | \(-0.840283\pi\) |
0.854903 | + | 0.518788i | \(0.173617\pi\) | |||||||
\(648\) | −1.08104e9 | + | 1.87241e9i | −0.156073 | + | 0.270327i | ||||
\(649\) | −5.19262e9 | −0.745641 | ||||||||
\(650\) | −2.17626e7 | − | 4.21987e6i | −0.00310824 | − | 0.000602701i | ||||
\(651\) | 1.61896e9 | 0.229986 | ||||||||
\(652\) | −5.08638e8 | + | 8.80987e8i | −0.0718691 | + | 0.124481i | ||||
\(653\) | 2.57398e9 | − | 4.45826e9i | 0.361750 | − | 0.626570i | −0.626499 | − | 0.779423i | \(-0.715513\pi\) |
0.988249 | + | 0.152852i | \(0.0488459\pi\) | |||||||
\(654\) | −4.17521e8 | − | 7.23168e8i | −0.0583655 | − | 0.101092i | ||||
\(655\) | 1.35514e10 | 1.88425 | ||||||||
\(656\) | 9.30115e8 | + | 1.61101e9i | 0.128639 | + | 0.222810i | ||||
\(657\) | 1.76350e9 | + | 3.05447e9i | 0.242603 | + | 0.420201i | ||||
\(658\) | −6.00023e8 | −0.0821064 | ||||||||
\(659\) | 5.95848e9 | + | 1.03204e10i | 0.811029 | + | 1.40474i | 0.912144 | + | 0.409869i | \(0.134426\pi\) |
−0.101115 | + | 0.994875i | \(0.532241\pi\) | |||||||
\(660\) | −3.19393e9 | + | 5.53206e9i | −0.432436 | + | 0.749002i | ||||
\(661\) | 2.18225e9 | − | 3.77977e9i | 0.293900 | − | 0.509050i | −0.680828 | − | 0.732443i | \(-0.738380\pi\) |
0.974728 | + | 0.223393i | \(0.0717134\pi\) | |||||||
\(662\) | 1.07685e8 | 0.0144263 | ||||||||
\(663\) | −6.35818e7 | − | 1.84380e8i | −0.00847296 | − | 0.0245707i | ||||
\(664\) | −4.73291e9 | −0.627394 | ||||||||
\(665\) | 2.78265e9 | − | 4.81969e9i | 0.366929 | − | 0.635540i | ||||
\(666\) | 7.57322e8 | − | 1.31172e9i | 0.0993392 | − | 0.172061i | ||||
\(667\) | −4.27102e8 | − | 7.39762e8i | −0.0557303 | − | 0.0965277i | ||||
\(668\) | 6.73647e9 | 0.874410 | ||||||||
\(669\) | −5.50338e9 | − | 9.53213e9i | −0.710621 | − | 1.23083i | ||||
\(670\) | 1.01830e8 | + | 1.76376e8i | 0.0130802 | + | 0.0226557i | ||||
\(671\) | −1.07104e8 | −0.0136860 | ||||||||
\(672\) | −1.03190e9 | − | 1.78731e9i | −0.131173 | − | 0.227199i | ||||
\(673\) | 3.86230e9 | − | 6.68970e9i | 0.488420 | − | 0.845968i | −0.511492 | − | 0.859288i | \(-0.670907\pi\) |
0.999911 | + | 0.0133205i | \(0.00424018\pi\) | |||||||
\(674\) | −2.22238e8 | + | 3.84928e8i | −0.0279582 | + | 0.0484250i | ||||
\(675\) | 7.89460e7 | 0.00988023 | ||||||||
\(676\) | −6.54633e9 | − | 2.63791e9i | −0.815051 | − | 0.328433i | ||||
\(677\) | 8.87356e9 | 1.09910 | 0.549550 | − | 0.835461i | \(-0.314799\pi\) | ||||
0.549550 | + | 0.835461i | \(0.314799\pi\) | |||||||
\(678\) | 1.05997e9 | − | 1.83593e9i | 0.130614 | − | 0.226231i | ||||
\(679\) | 1.38056e8 | − | 2.39120e8i | 0.0169243 | − | 0.0293137i | ||||
\(680\) | 8.88724e7 | + | 1.53932e8i | 0.0108389 | + | 0.0187735i | ||||
\(681\) | −9.75894e9 | −1.18410 | ||||||||
\(682\) | −1.38505e9 | − | 2.39898e9i | −0.167194 | − | 0.289589i | ||||
\(683\) | 1.19534e9 | + | 2.07040e9i | 0.143556 | + | 0.248646i | 0.928833 | − | 0.370498i | \(-0.120813\pi\) |
−0.785277 | + | 0.619144i | \(0.787480\pi\) | |||||||
\(684\) | 5.38948e9 | 0.643947 | ||||||||
\(685\) | 1.09860e9 | + | 1.90284e9i | 0.130594 | + | 0.226196i | ||||
\(686\) | 7.94922e7 | − | 1.37685e8i | 0.00940135 | − | 0.0162836i | ||||
\(687\) | −5.86895e9 | + | 1.01653e10i | −0.690576 | + | 1.19611i | ||||
\(688\) | −5.95714e9 | −0.697394 | ||||||||
\(689\) | −9.69475e8 | − | 2.81137e9i | −0.112920 | − | 0.327455i | ||||
\(690\) | −4.71396e8 | −0.0546278 | ||||||||
\(691\) | 2.78751e9 | − | 4.82811e9i | 0.321398 | − | 0.556678i | −0.659379 | − | 0.751811i | \(-0.729181\pi\) |
0.980777 | + | 0.195133i | \(0.0625140\pi\) | |||||||
\(692\) | 5.05164e9 | − | 8.74971e9i | 0.579511 | − | 1.00374i | ||||
\(693\) | −7.80575e8 | − | 1.35200e9i | −0.0890940 | − | 0.154315i | ||||
\(694\) | 5.03501e9 | 0.571797 | ||||||||
\(695\) | 3.99651e8 | + | 6.92215e8i | 0.0451579 | + | 0.0782158i | ||||
\(696\) | −1.28935e9 | − | 2.23322e9i | −0.144957 | − | 0.251072i | ||||
\(697\) | −1.16550e8 | −0.0130376 | ||||||||
\(698\) | 1.53394e8 | + | 2.65686e8i | 0.0170732 | + | 0.0295716i | ||||
\(699\) | −8.05444e8 | + | 1.39507e9i | −0.0892001 | + | 0.154499i | ||||
\(700\) | −1.37020e7 | + | 2.37326e7i | −0.00150987 | + | 0.00261518i | ||||
\(701\) | −1.34671e10 | −1.47660 | −0.738298 | − | 0.674474i | \(-0.764370\pi\) | ||||
−0.738298 | + | 0.674474i | \(0.764370\pi\) | |||||||
\(702\) | −3.40516e9 | − | 6.60276e8i | −0.371499 | − | 0.0720353i | ||||
\(703\) | 2.67933e10 | 2.90859 | ||||||||
\(704\) | 1.98088e9 | − | 3.43099e9i | 0.213971 | − | 0.370608i | ||||
\(705\) | 2.29696e9 | − | 3.97846e9i | 0.246884 | − | 0.427615i | ||||
\(706\) | −2.11487e9 | − | 3.66307e9i | −0.226187 | − | 0.391767i | ||||
\(707\) | 2.32308e9 | 0.247227 | ||||||||
\(708\) | 1.96038e9 | + | 3.39549e9i | 0.207599 | + | 0.359572i | ||||
\(709\) | 7.26425e9 | + | 1.25820e10i | 0.765471 | + | 1.32584i | 0.939997 | + | 0.341183i | \(0.110827\pi\) |
−0.174526 | + | 0.984653i | \(0.555839\pi\) | |||||||
\(710\) | 5.78593e8 | 0.0606693 | ||||||||
\(711\) | 2.34091e9 | + | 4.05457e9i | 0.244253 | + | 0.423059i | ||||
\(712\) | −4.25376e9 | + | 7.36772e9i | −0.441665 | + | 0.764985i | ||||
\(713\) | −7.40663e8 | + | 1.28287e9i | −0.0765257 | + | 0.132546i | ||||
\(714\) | 3.32719e7 | 0.00342085 | ||||||||
\(715\) | −1.19854e10 | − | 2.32402e9i | −1.22626 | − | 0.237777i | ||||
\(716\) | −5.67187e9 | −0.577471 | ||||||||
\(717\) | 3.81172e9 | − | 6.60209e9i | 0.386192 | − | 0.668905i | ||||
\(718\) | −3.00761e9 | + | 5.20933e9i | −0.303239 | + | 0.525226i | ||||
\(719\) | 3.71154e9 | + | 6.42857e9i | 0.372394 | + | 0.645006i | 0.989933 | − | 0.141534i | \(-0.0452036\pi\) |
−0.617539 | + | 0.786540i | \(0.711870\pi\) | |||||||
\(720\) | −2.48283e9 | −0.247904 | ||||||||
\(721\) | −9.46700e8 | − | 1.63973e9i | −0.0940673 | − | 0.162929i | ||||
\(722\) | −4.81740e9 | − | 8.34398e9i | −0.476357 | − | 0.825075i | ||||
\(723\) | −1.02624e10 | −1.00987 | ||||||||
\(724\) | −6.10622e8 | − | 1.05763e9i | −0.0597981 | − | 0.103573i | ||||
\(725\) | −2.62333e7 | + | 4.54373e7i | −0.00255664 | + | 0.00442823i | ||||
\(726\) | 7.72599e8 | − | 1.33818e9i | 0.0749335 | − | 0.129789i | ||||
\(727\) | −4.98321e9 | −0.480993 | −0.240497 | − | 0.970650i | \(-0.577310\pi\) | ||||
−0.240497 | + | 0.970650i | \(0.577310\pi\) | |||||||
\(728\) | 1.68794e9 | − | 1.94355e9i | 0.162143 | − | 0.186697i | ||||
\(729\) | 1.08489e10 | 1.03715 | ||||||||
\(730\) | −2.35268e9 | + | 4.07496e9i | −0.223837 | + | 0.387698i | ||||
\(731\) | 1.86619e8 | − | 3.23233e8i | 0.0176703 | − | 0.0306059i | ||||
\(732\) | 4.04354e7 | + | 7.00361e7i | 0.00381042 | + | 0.00659984i | ||||
\(733\) | 4.35668e9 | 0.408594 | 0.204297 | − | 0.978909i | \(-0.434509\pi\) | ||||
0.204297 | + | 0.978909i | \(0.434509\pi\) | |||||||
\(734\) | −3.33491e9 | − | 5.77623e9i | −0.311278 | − | 0.539149i | ||||
\(735\) | 6.08612e8 | + | 1.05415e9i | 0.0565373 | + | 0.0979255i | ||||
\(736\) | 1.88835e9 | 0.174586 | ||||||||
\(737\) | 5.05302e8 | + | 8.75208e8i | 0.0464959 | + | 0.0805332i | ||||
\(738\) | −2.84913e8 | + | 4.93484e8i | −0.0260925 | + | 0.0451935i | ||||
\(739\) | −1.21235e9 | + | 2.09986e9i | −0.110503 | + | 0.191396i | −0.915973 | − | 0.401240i | \(-0.868579\pi\) |
0.805470 | + | 0.592636i | \(0.201913\pi\) | |||||||
\(740\) | −1.46427e10 | −1.32834 | ||||||||
\(741\) | −5.49892e9 | − | 1.59463e10i | −0.496494 | − | 1.43978i | ||||
\(742\) | 5.07319e8 | 0.0455898 | ||||||||
\(743\) | −4.75742e9 | + | 8.24010e9i | −0.425511 | + | 0.737007i | −0.996468 | − | 0.0839732i | \(-0.973239\pi\) |
0.570957 | + | 0.820980i | \(0.306572\pi\) | |||||||
\(744\) | −2.23593e9 | + | 3.87275e9i | −0.199046 | + | 0.344758i | ||||
\(745\) | 9.37743e9 | + | 1.62422e10i | 0.830877 | + | 1.43912i | ||||
\(746\) | −3.35528e8 | −0.0295898 | ||||||||
\(747\) | 2.07108e9 | + | 3.58721e9i | 0.181792 | + | 0.314872i | ||||
\(748\) | 2.06268e8 | + | 3.57267e8i | 0.0180209 | + | 0.0312131i | ||||
\(749\) | −1.98113e9 | −0.172277 | ||||||||
\(750\) | −1.57779e9 | − | 2.73281e9i | −0.136563 | − | 0.236534i | ||||
\(751\) | −8.97311e9 | + | 1.55419e10i | −0.773042 | + | 1.33895i | 0.162847 | + | 0.986651i | \(0.447932\pi\) |
−0.935888 | + | 0.352296i | \(0.885401\pi\) | |||||||
\(752\) | −2.36763e9 | + | 4.10085e9i | −0.203026 | + | 0.351651i | ||||
\(753\) | 8.97789e9 | 0.766288 | ||||||||
\(754\) | 1.51153e9 | − | 1.74043e9i | 0.128416 | − | 0.147862i | ||||
\(755\) | 1.12253e9 | 0.0949258 | ||||||||
\(756\) | −2.14393e9 | + | 3.71340e9i | −0.180461 | + | 0.312568i | ||||
\(757\) | −7.42568e9 | + | 1.28617e10i | −0.622158 | + | 1.07761i | 0.366925 | + | 0.930250i | \(0.380410\pi\) |
−0.989083 | + | 0.147358i | \(0.952923\pi\) | |||||||
\(758\) | 1.39500e9 | + | 2.41621e9i | 0.116341 | + | 0.201508i | ||||
\(759\) | −2.33915e9 | −0.194184 | ||||||||
\(760\) | 7.68620e9 | + | 1.33129e10i | 0.635132 | + | 1.10008i | ||||
\(761\) | 4.63085e9 | + | 8.02087e9i | 0.380903 | + | 0.659743i | 0.991192 | − | 0.132436i | \(-0.0422798\pi\) |
−0.610289 | + | 0.792179i | \(0.708946\pi\) | |||||||
\(762\) | 4.15753e9 | 0.340403 | ||||||||
\(763\) | −9.86458e8 | − | 1.70859e9i | −0.0803975 | − | 0.139253i | ||||
\(764\) | 2.78598e9 | − | 4.82546e9i | 0.226022 | − | 0.391482i | ||||
\(765\) | 7.77794e7 | − | 1.34718e8i | 0.00628130 | − | 0.0108795i | ||||
\(766\) | 2.88986e9 | 0.232315 | ||||||||
\(767\) | −4.91356e9 | + | 5.65764e9i | −0.393199 | + | 0.452743i | ||||
\(768\) | 4.28888e7 | 0.00341649 | ||||||||
\(769\) | −6.71164e9 | + | 1.16249e10i | −0.532214 | + | 0.921822i | 0.467078 | + | 0.884216i | \(0.345307\pi\) |
−0.999293 | + | 0.0376062i | \(0.988027\pi\) | |||||||
\(770\) | 1.04136e9 | − | 1.80369e9i | 0.0822024 | − | 0.142379i | ||||
\(771\) | 4.38904e8 | + | 7.60204e8i | 0.0344889 | + | 0.0597365i | ||||
\(772\) | −7.72317e9 | −0.604136 | ||||||||
\(773\) | −2.14709e9 | − | 3.71887e9i | −0.167195 | − | 0.289589i | 0.770238 | − | 0.637757i | \(-0.220137\pi\) |
−0.937432 | + | 0.348167i | \(0.886804\pi\) | |||||||
\(774\) | −9.12396e8 | − | 1.58032e9i | −0.0707278 | − | 0.122504i | ||||
\(775\) | 9.09853e7 | 0.00702126 | ||||||||
\(776\) | 3.81336e8 | + | 6.60494e8i | 0.0292949 | + | 0.0507403i | ||||
\(777\) | −2.93008e9 | + | 5.07505e9i | −0.224082 | + | 0.388121i | ||||
\(778\) | −2.11445e9 | + | 3.66233e9i | −0.160979 | + | 0.278823i | ||||
\(779\) | −1.00800e10 | −0.763972 | ||||||||
\(780\) | 3.00519e9 | + | 8.71473e9i | 0.226747 | + | 0.657541i | ||||
\(781\) | 2.87109e9 | 0.215659 | ||||||||
\(782\) | −1.52217e7 | + | 2.63647e7i | −0.00113825 | + | 0.00197151i | ||||
\(783\) | −4.10468e9 | + | 7.10951e9i | −0.305571 | + | 0.529265i | ||||
\(784\) | −6.27336e8 | − | 1.08658e9i | −0.0464937 | − | 0.0805294i | ||||
\(785\) | −9.71489e9 | −0.716794 | ||||||||
\(786\) | 3.50338e9 | + | 6.06803e9i | 0.257341 | + | 0.445727i | ||||
\(787\) | −9.54567e9 | − | 1.65336e10i | −0.698063 | − | 1.20908i | −0.969137 | − | 0.246523i | \(-0.920712\pi\) |
0.271074 | − | 0.962559i | \(-0.412621\pi\) | |||||||
\(788\) | 2.09432e10 | 1.52476 | ||||||||
\(789\) | −6.04861e8 | − | 1.04765e9i | −0.0438415 | − | 0.0759358i | ||||
\(790\) | −3.12300e9 | + | 5.40919e9i | −0.225360 | + | 0.390335i | ||||
\(791\) | 2.50435e9 | − | 4.33766e9i | 0.179919 | − | 0.311629i | ||||
\(792\) | 4.31219e9 | 0.308432 | ||||||||
\(793\) | −1.01348e8 | + | 1.16696e8i | −0.00721706 | + | 0.00830997i | ||||
\(794\) | 6.26223e9 | 0.443974 | ||||||||
\(795\) | −1.94208e9 | + | 3.36379e9i | −0.137083 | + | 0.237434i | ||||
\(796\) | 3.25932e9 | − | 5.64531e9i | 0.229050 | − | 0.396727i | ||||
\(797\) | −9.02091e9 | − | 1.56247e10i | −0.631170 | − | 1.09322i | −0.987313 | − | 0.158787i | \(-0.949242\pi\) |
0.356143 | − | 0.934431i | \(-0.384092\pi\) | |||||||
\(798\) | 2.87754e9 | 0.200453 | ||||||||
\(799\) | −1.48341e8 | − | 2.56934e8i | −0.0102884 | − | 0.0178200i | ||||
\(800\) | −5.79928e7 | − | 1.00446e8i | −0.00400460 | − | 0.00693616i | ||||
\(801\) | 7.44561e9 | 0.511901 | ||||||||
\(802\) | 3.54150e9 | + | 6.13406e9i | 0.242425 | + | 0.419892i | ||||
\(803\) | −1.16744e10 | + | 2.02207e10i | −0.795667 | + | 1.37814i | ||||
\(804\) | 3.81536e8 | − | 6.60840e8i | 0.0258904 | − | 0.0448436i | ||||
\(805\) | −1.11374e9 | −0.0752489 | ||||||||
\(806\) | −3.92445e9 | − | 7.60968e8i | −0.264001 | − | 0.0511910i | ||||
\(807\) | 4.24654e9 | 0.284431 | ||||||||
\(808\) | −3.20840e9 | + | 5.55711e9i | −0.213968 | + | 0.370603i | ||||
\(809\) | −9.22144e8 | + | 1.59720e9i | −0.0612320 | + | 0.106057i | −0.895016 | − | 0.446033i | \(-0.852836\pi\) |
0.833784 | + | 0.552090i | \(0.186170\pi\) | |||||||
\(810\) | 1.26219e9 | + | 2.18618e9i | 0.0834503 | + | 0.144540i | ||||
\(811\) | 1.66773e10 | 1.09788 | 0.548938 | − | 0.835863i | \(-0.315032\pi\) | ||||
0.548938 | + | 0.835863i | \(0.315032\pi\) | |||||||
\(812\) | −1.42483e9 | − | 2.46788e9i | −0.0933935 | − | 0.161762i | ||||
\(813\) | −9.69008e9 | − | 1.67837e10i | −0.632427 | − | 1.09540i | ||||
\(814\) | 1.00270e10 | 0.651606 | ||||||||
\(815\) | 1.26970e9 | + | 2.19918e9i | 0.0821579 | + | 0.142302i | ||||
\(816\) | 1.31287e8 | − | 2.27396e8i | 0.00845877 | − | 0.0146510i | ||||
\(817\) | 1.61399e10 | − | 2.79550e10i | 1.03543 | − | 1.79342i | ||||
\(818\) | 4.70882e9 | 0.300799 | ||||||||
\(819\) | −2.21170e9 | − | 4.28859e8i | −0.140680 | − | 0.0272785i | ||||
\(820\) | 5.50875e9 | 0.348903 | ||||||||
\(821\) | −4.80894e9 | + | 8.32932e9i | −0.303283 | + | 0.525301i | −0.976878 | − | 0.213800i | \(-0.931416\pi\) |
0.673595 | + | 0.739101i | \(0.264749\pi\) | |||||||
\(822\) | −5.68035e8 | + | 9.83866e8i | −0.0356717 | + | 0.0617852i | ||||
\(823\) | −7.15180e9 | − | 1.23873e10i | −0.447214 | − | 0.774598i | 0.550989 | − | 0.834512i | \(-0.314251\pi\) |
−0.998204 | + | 0.0599144i | \(0.980917\pi\) | |||||||
\(824\) | 5.22993e9 | 0.325650 | ||||||||
\(825\) | 7.18372e7 | + | 1.24426e8i | 0.00445411 | + | 0.00771474i | ||||
\(826\) | −6.39171e8 | − | 1.10708e9i | −0.0394627 | − | 0.0683514i | ||||
\(827\) | 8.29655e9 | 0.510068 | 0.255034 | − | 0.966932i | \(-0.417913\pi\) | ||||
0.255034 | + | 0.966932i | \(0.417913\pi\) | |||||||
\(828\) | −5.39280e8 | − | 9.34061e8i | −0.0330148 | − | 0.0571833i | ||||
\(829\) | 4.99519e9 | − | 8.65192e9i | 0.304517 | − | 0.527438i | −0.672637 | − | 0.739973i | \(-0.734838\pi\) |
0.977154 | + | 0.212534i | \(0.0681718\pi\) | |||||||
\(830\) | −2.76301e9 | + | 4.78568e9i | −0.167730 | + | 0.290516i | ||||
\(831\) | 1.67194e10 | 1.01069 | ||||||||
\(832\) | −1.86382e9 | − | 5.40489e9i | −0.112195 | − | 0.325353i | ||||
\(833\) | 7.86099e7 | 0.00471215 | ||||||||
\(834\) | −2.06640e8 | + | 3.57911e8i | −0.0123348 | + | 0.0213646i | ||||
\(835\) | 8.40804e9 | − | 1.45632e10i | 0.499795 | − | 0.865671i | ||||
\(836\) | 1.78393e10 | + | 3.08985e10i | 1.05598 | + | 1.82901i | ||||
\(837\) | 1.42363e10 | 0.839187 | ||||||||
\(838\) | 3.55185e9 | + | 6.15198e9i | 0.208497 | + | 0.361128i | ||||
\(839\) | 1.57890e10 | + | 2.73474e10i | 0.922971 | + | 1.59863i | 0.794792 | + | 0.606881i | \(0.207580\pi\) |
0.128179 | + | 0.991751i | \(0.459087\pi\) | |||||||
\(840\) | −3.36221e9 | −0.195725 | ||||||||
\(841\) | 5.89702e9 | + | 1.02139e10i | 0.341859 | + | 0.592117i | ||||
\(842\) | 4.03742e9 | − | 6.99301e9i | 0.233083 | − | 0.403712i | ||||
\(843\) | 1.14297e10 | − | 1.97968e10i | 0.657110 | − | 1.13815i | ||||
\(844\) | −2.87446e10 | −1.64573 | ||||||||
\(845\) | −1.38735e10 | + | 1.08596e10i | −0.791017 | + | 0.619180i | ||||
\(846\) | −1.45050e9 | −0.0823612 | ||||||||
\(847\) | 1.82538e9 | − | 3.16166e9i | 0.103220 | − | 0.178782i | ||||
\(848\) | 2.00183e9 | − | 3.46727e9i | 0.112730 | − | 0.195255i | ||||
\(849\) | 8.87800e9 | + | 1.53771e10i | 0.497896 | + | 0.862380i | ||||
\(850\) | 1.86988e6 | 0.000104435 | ||||||||
\(851\) | −2.68099e9 | − | 4.64360e9i | −0.149122 | − | 0.258286i | ||||
\(852\) | −1.08393e9 | − | 1.87742e9i | −0.0600430 | − | 0.103998i | ||||
\(853\) | −1.80520e10 | −0.995873 | −0.497937 | − | 0.867213i | \(-0.665909\pi\) | ||||
−0.497937 | + | 0.867213i | \(0.665909\pi\) | |||||||
\(854\) | −1.31837e7 | − | 2.28348e7i | −0.000724327 | − | 0.00125457i | ||||
\(855\) | 6.72681e9 | − | 1.16512e10i | 0.368068 | − | 0.637512i | ||||
\(856\) | 2.73613e9 | − | 4.73911e9i | 0.149100 | − | 0.258249i | ||||
\(857\) | −2.79607e10 | −1.51745 | −0.758727 | − | 0.651409i | \(-0.774178\pi\) | ||||
−0.758727 | + | 0.651409i | \(0.774178\pi\) | |||||||
\(858\) | −2.05789e9 | − | 5.96764e9i | −0.111228 | − | 0.322550i | ||||
\(859\) | −2.33350e10 | −1.25612 | −0.628061 | − | 0.778164i | \(-0.716151\pi\) | ||||
−0.628061 | + | 0.778164i | \(0.716151\pi\) | |||||||
\(860\) | −8.82053e9 | + | 1.52776e10i | −0.472879 | + | 0.819050i | ||||
\(861\) | 1.10233e9 | − | 1.90929e9i | 0.0588573 | − | 0.101944i | ||||
\(862\) | −3.46521e9 | − | 6.00192e9i | −0.184270 | − | 0.319165i | ||||
\(863\) | −2.58108e10 | −1.36699 | −0.683494 | − | 0.729956i | \(-0.739540\pi\) | ||||
−0.683494 | + | 0.729956i | \(0.739540\pi\) | |||||||
\(864\) | −9.07403e9 | − | 1.57167e10i | −0.478633 | − | 0.829016i | ||||
\(865\) | −1.26103e10 | − | 2.18417e10i | −0.662474 | − | 1.14744i | ||||
\(866\) | 1.66550e9 | 0.0871429 | ||||||||
\(867\) | −7.55200e9 | − | 1.30804e10i | −0.393546 | − | 0.681641i | ||||
\(868\) | −2.47088e9 | + | 4.27969e9i | −0.128243 | + | 0.222123i | ||||
\(869\) | −1.54969e10 | + | 2.68414e10i | −0.801079 | + | 1.38751i | ||||
\(870\) | −3.01082e9 | −0.155013 | ||||||||
\(871\) | 1.43173e9 | + | 2.77620e8i | 0.0734174 | + | 0.0142360i | ||||
\(872\) | 5.44957e9 | 0.278326 | ||||||||
\(873\) | 3.33738e8 | − | 5.78051e8i | 0.0169768 | − | 0.0294047i | ||||
\(874\) | −1.31646e9 | + | 2.28017e9i | −0.0666986 | + | 0.115525i | ||||
\(875\) | −3.72776e9 | − | 6.45667e9i | −0.188113 | − | 0.325822i | ||||
\(876\) | 1.76299e10 | 0.886107 | ||||||||
\(877\) | −1.34986e10 | − | 2.33803e10i | −0.675758 | − | 1.17045i | −0.976247 | − | 0.216662i | \(-0.930483\pi\) |
0.300489 | − | 0.953785i | \(-0.402850\pi\) | |||||||
\(878\) | −1.68586e9 | − | 2.91999e9i | −0.0840601 | − | 0.145596i | ||||
\(879\) | 8.23982e9 | 0.409220 | ||||||||
\(880\) | −8.21821e9 | − | 1.42344e10i | −0.406526 | − | 0.704123i | ||||
\(881\) | −1.19710e10 | + | 2.07344e10i | −0.589814 | + | 1.02159i | 0.404443 | + | 0.914563i | \(0.367465\pi\) |
−0.994256 | + | 0.107024i | \(0.965868\pi\) | |||||||
\(882\) | 1.92166e8 | − | 3.32840e8i | 0.00943052 | − | 0.0163341i | ||||
\(883\) | 2.54074e10 | 1.24193 | 0.620966 | − | 0.783838i | \(-0.286741\pi\) | ||||
0.620966 | + | 0.783838i | \(0.286741\pi\) | |||||||
\(884\) | 5.84445e8 | + | 1.13327e8i | 0.0284552 | + | 0.00551758i | ||||
\(885\) | 9.78731e9 | 0.474638 | ||||||||
\(886\) | −6.15111e8 | + | 1.06540e9i | −0.0297123 | + | 0.0514631i | ||||
\(887\) | 9.39533e9 | − | 1.62732e10i | 0.452043 | − | 0.782961i | −0.546470 | − | 0.837479i | \(-0.684029\pi\) |
0.998513 | + | 0.0545176i | \(0.0173621\pi\) | |||||||
\(888\) | −8.09344e9 | − | 1.40183e10i | −0.387871 | − | 0.671813i | ||||
\(889\) | 9.82280e9 | 0.468899 | ||||||||
\(890\) | 4.96658e9 | + | 8.60237e9i | 0.236152 | + | 0.409028i | ||||
\(891\) | 6.26323e9 | + | 1.08482e10i | 0.296638 | + | 0.513792i | ||||
\(892\) | 3.35974e10 | 1.58500 | ||||||||
\(893\) | −1.28294e10 | − | 2.22211e10i | −0.602872 | − | 1.04420i | ||||
\(894\) | −4.84862e9 | + | 8.39805e9i | −0.226953 | + | 0.393095i | ||||
\(895\) | −7.07927e9 | + | 1.22617e10i | −0.330071 | + | 0.571700i | ||||
\(896\) | 8.14428e9 | 0.378246 | ||||||||
\(897\) | −2.21345e9 | + | 2.54864e9i | −0.102399 | + | 0.117906i | ||||
\(898\) | −7.03481e9 | −0.324179 | ||||||||
\(899\) | −4.73064e9 | + | 8.19371e9i | −0.217151 | + | 0.376116i | ||||
\(900\) | −3.31234e7 | + | 5.73714e7i | −0.00151456 | + | 0.00262329i | ||||
\(901\) | 1.25422e8 | + | 2.17237e8i | 0.00571264 | + | 0.00989459i | ||||
\(902\) | −3.77227e9 | −0.171151 | ||||||||
\(903\) | 3.53006e9 | + | 6.11425e9i | 0.159542 | + | 0.276335i | ||||
\(904\) | 6.91749e9 | + | 1.19814e10i | 0.311429 | + | 0.539411i | ||||
\(905\) | −3.04856e9 | −0.136718 | ||||||||
\(906\) | 2.90204e8 | + | 5.02647e8i | 0.0129644 | + | 0.0224551i | ||||
\(907\) | 1.76282e10 | − | 3.05329e10i | 0.784481 | − | 1.35876i | −0.144828 | − | 0.989457i | \(-0.546263\pi\) |
0.929309 | − | 0.369304i | \(-0.120404\pi\) | |||||||
\(908\) | 1.48942e10 | − | 2.57976e10i | 0.660265 | − | 1.14361i | ||||
\(909\) | 5.61585e9 | 0.247995 | ||||||||
\(910\) | −9.79824e8 | − | 2.84138e9i | −0.0431026 | − | 0.124993i | ||||
\(911\) | 7.79922e9 | 0.341772 | 0.170886 | − | 0.985291i | \(-0.445337\pi\) | ||||
0.170886 | + | 0.985291i | \(0.445337\pi\) | |||||||
\(912\) | 1.13545e10 | − | 1.96665e10i | 0.495662 | − | 0.858511i | ||||
\(913\) | −1.37106e10 | + | 2.37474e10i | −0.596223 | + | 1.03269i | ||||
\(914\) | −7.12002e9 | − | 1.23322e10i | −0.308439 | − | 0.534232i | ||||
\(915\) | 2.01876e8 | 0.00871184 | ||||||||
\(916\) | −1.79146e10 | − | 3.10289e10i | −0.770144 | − | 1.33393i | ||||
\(917\) | 8.27727e9 | + | 1.43367e10i | 0.354482 | + | 0.613981i | ||||
\(918\) | 2.92576e8 | 0.0124822 | ||||||||
\(919\) | −5.42237e9 | − | 9.39182e9i | −0.230454 | − | 0.399159i | 0.727488 | − | 0.686121i | \(-0.240688\pi\) |
−0.957942 | + | 0.286962i | \(0.907355\pi\) | |||||||
\(920\) | 1.53819e9 | − | 2.66422e9i | 0.0651256 | − | 0.112801i | ||||
\(921\) | −6.91623e9 | + | 1.19793e10i | −0.291716 | + | 0.505268i | ||||
\(922\) | 7.13774e9 | 0.299918 | ||||||||
\(923\) | 2.71679e9 | − | 3.12821e9i | 0.113724 | − | 0.130945i | ||||
\(924\) | −7.80351e9 | −0.325415 | ||||||||
\(925\) | −1.64670e8 | + | 2.85217e8i | −0.00684099 | + | 0.0118489i | ||||
\(926\) | 5.48725e9 | − | 9.50419e9i | 0.227099 | − | 0.393348i | ||||
\(927\) | −2.28857e9 | − | 3.96391e9i | −0.0943592 | − | 0.163435i | ||||
\(928\) | 1.20610e10 | 0.495410 | ||||||||
\(929\) | −1.60193e10 | − | 2.77462e10i | −0.655524 | − | 1.13540i | −0.981762 | − | 0.190113i | \(-0.939114\pi\) |
0.326238 | − | 0.945288i | \(-0.394219\pi\) | |||||||
\(930\) | 2.61062e9 | + | 4.52173e9i | 0.106427 | + | 0.184338i | ||||
\(931\) | 6.79864e9 | 0.276120 | ||||||||
\(932\) | −2.45856e9 | − | 4.25836e9i | −0.0994777 | − | 0.172300i | ||||
\(933\) | −7.31271e9 | + | 1.26660e10i | −0.294776 | + | 0.510568i | ||||
\(934\) | −3.08367e9 | + | 5.34108e9i | −0.123838 | + | 0.214494i | ||||
\(935\) | 1.02980e9 | 0.0412016 | ||||||||
\(936\) | 4.08045e9 | − | 4.69837e9i | 0.162646 | − | 0.187276i | ||||
\(937\) | 2.05762e10 | 0.817104 | 0.408552 | − | 0.912735i | \(-0.366034\pi\) | ||||
0.408552 | + | 0.912735i | \(0.366034\pi\) | |||||||
\(938\) | −1.24397e8 | + | 2.15463e8i | −0.00492155 | + | 0.00852437i | ||||
\(939\) | −6.80450e9 | + | 1.17857e10i | −0.268205 | + | 0.464545i | ||||
\(940\) | 7.01132e9 | + | 1.21440e10i | 0.275329 | + | 0.476884i | ||||
\(941\) | −4.98415e10 | −1.94997 | −0.974984 | − | 0.222274i | \(-0.928652\pi\) | ||||
−0.974984 | + | 0.222274i | \(0.928652\pi\) | |||||||
\(942\) | −2.51155e9 | − | 4.35013e9i | −0.0978957 | − | 0.169560i | ||||
\(943\) | 1.00862e9 | + | 1.74697e9i | 0.0391683 | + | 0.0678415i | ||||
\(944\) | −1.00884e10 | −0.390320 | ||||||||
\(945\) | 5.35184e9 | + | 9.26966e9i | 0.206296 | + | 0.357316i | ||||
\(946\) | 6.04009e9 | − | 1.04617e10i | 0.231966 | − | 0.401777i | ||||
\(947\) | 1.73630e10 | − | 3.00735e10i | 0.664353 | − | 1.15069i | −0.315107 | − | 0.949056i | \(-0.602040\pi\) |
0.979460 | − | 0.201637i | \(-0.0646262\pi\) | |||||||
\(948\) | 2.34023e10 | 0.892134 | ||||||||
\(949\) | 1.09845e10 | + | 3.18540e10i | 0.417206 | + | 1.20985i | ||||
\(950\) | 1.61718e8 | 0.00611963 | ||||||||
\(951\) | 1.80990e10 | − | 3.13484e10i | 0.682374 | − | 1.18191i | ||||
\(952\) | −1.08568e8 | + | 1.88045e8i | −0.00407823 | + | 0.00706369i | ||||
\(953\) | −2.52633e10 | − | 4.37573e10i | −0.945507 | − | 1.63767i | −0.754733 | − | 0.656032i | \(-0.772234\pi\) |
−0.190774 | − | 0.981634i | \(-0.561100\pi\) | |||||||
\(954\) | 1.22640e9 | 0.0457313 | ||||||||
\(955\) | −6.95457e9 | − | 1.20457e10i | −0.258380 | − | 0.447527i | ||||
\(956\) | 1.16350e10 | + | 2.01524e10i | 0.430689 | + | 0.745976i | ||||
\(957\) | −1.49403e10 | −0.551019 | ||||||||
\(958\) | −1.95002e9 | − | 3.37753e9i | −0.0716570 | − | 0.124114i | ||||
\(959\) | −1.34207e9 | + | 2.32453e9i | −0.0491372 | + | 0.0851081i | ||||
\(960\) | −3.73367e9 | + | 6.46691e9i | −0.136203 | + | 0.235911i | ||||
\(961\) | −1.11053e10 | −0.403642 | ||||||||
\(962\) | 9.48814e9 | − | 1.09250e10i | 0.343612 | − | 0.395646i | ||||
\(963\) | −4.78921e9 | −0.172811 | ||||||||
\(964\) | 1.56627e10 | − | 2.71286e10i | 0.563115 | − | 0.975344i | ||||
\(965\) | −9.63957e9 | + | 1.66962e10i | −0.345312 | + | 0.598098i | ||||
\(966\) | −2.87932e8 | − | 4.98712e8i | −0.0102771 | − | 0.0178004i | ||||
\(967\) | 3.53932e10 | 1.25871 | 0.629357 | − | 0.777117i | \(-0.283319\pi\) | ||||
0.629357 | + | 0.777117i | \(0.283319\pi\) | |||||||
\(968\) | 5.04206e9 | + | 8.73310e9i | 0.178667 | + | 0.309460i | ||||
\(969\) | 7.11401e8 | + | 1.23218e9i | 0.0251178 | + | 0.0435053i | ||||
\(970\) | 8.90477e8 | 0.0313272 | ||||||||
\(971\) | 1.80844e10 | + | 3.13231e10i | 0.633924 | + | 1.09799i | 0.986742 | + | 0.162296i | \(0.0518901\pi\) |
−0.352818 | + | 0.935692i | \(0.614777\pi\) | |||||||
\(972\) | −8.94075e9 | + | 1.54858e10i | −0.312278 | + | 0.540882i | ||||
\(973\) | −4.88218e8 | + | 8.45619e8i | −0.0169910 | + | 0.0294293i | ||||
\(974\) | 1.79149e9 | 0.0621239 | ||||||||
\(975\) | 2.03545e8 | + | 3.94683e7i | 0.00703307 | + | 0.00136374i | ||||
\(976\) | −2.08086e8 | −0.00716421 | ||||||||
\(977\) | −1.85678e10 | + | 3.21604e10i | −0.636986 | + | 1.10329i | 0.349104 | + | 0.937084i | \(0.386486\pi\) |
−0.986091 | + | 0.166209i | \(0.946847\pi\) | |||||||
\(978\) | −6.56500e8 | + | 1.13709e9i | −0.0224413 | + | 0.0388696i | ||||
\(979\) | 2.46451e10 | + | 4.26865e10i | 0.839442 | + | 1.45396i | ||||
\(980\) | −3.71550e9 | −0.126103 | ||||||||
\(981\) | −2.38468e9 | − | 4.13038e9i | −0.0806470 | − | 0.139685i | ||||
\(982\) | −9.05607e9 | − | 1.56856e10i | −0.305175 | − | 0.528579i | ||||
\(983\) | −4.98784e10 | −1.67485 | −0.837424 | − | 0.546554i | \(-0.815939\pi\) | ||||
−0.837424 | + | 0.546554i | \(0.815939\pi\) | |||||||
\(984\) | 3.04484e9 | + | 5.27382e9i | 0.101878 | + | 0.176458i | ||||
\(985\) | 2.61400e10 | − | 4.52757e10i | 0.871522 | − | 1.50952i | ||||
\(986\) | −9.72213e7 | + | 1.68392e8i | −0.00322992 | + | 0.00559439i | ||||
\(987\) | 5.61200e9 | 0.185784 | ||||||||
\(988\) | 5.05462e10 | + | 9.80113e9i | 1.66740 | + | 0.323316i | ||||
\(989\) | −6.45992e9 | −0.212344 | ||||||||
\(990\) | 2.51740e9 | − | 4.36027e9i | 0.0824574 | − | 0.142820i | ||||
\(991\) | 2.16751e10 | − | 3.75424e10i | 0.707464 | − | 1.22536i | −0.258332 | − | 0.966056i | \(-0.583173\pi\) |
0.965795 | − | 0.259306i | \(-0.0834940\pi\) | |||||||
\(992\) | −1.04578e10 | − | 1.81135e10i | −0.340134 | − | 0.589130i | ||||
\(993\) | −1.00718e9 | −0.0326426 | ||||||||
\(994\) | 3.53409e8 | + | 6.12122e8i | 0.0114137 | + | 0.0197690i | ||||
\(995\) | −8.13615e9 | − | 1.40922e10i | −0.261841 | − | 0.453523i | ||||
\(996\) | 2.07048e10 | 0.663993 | ||||||||
\(997\) | −1.30797e10 | − | 2.26548e10i | −0.417990 | − | 0.723980i | 0.577747 | − | 0.816216i | \(-0.303932\pi\) |
−0.995737 | + | 0.0922355i | \(0.970599\pi\) | |||||||
\(998\) | −1.00765e10 | + | 1.74529e10i | −0.320886 | + | 0.555791i | ||||
\(999\) | −2.57657e10 | + | 4.46275e10i | −0.817641 | + | 1.41620i |
(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 | 91.8.f.a.22.10 | ✓ | 48 | |
13.3 | even | 3 | inner | 91.8.f.a.29.10 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.f.a.22.10 | ✓ | 48 | 1.1 | even | 1 | trivial | |
91.8.f.a.29.10 | yes | 48 | 13.3 | even | 3 | inner |