Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,11,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(18.4253603275\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.18 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.11.f.a.15.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 34.3912 | + | 3.87495i | 1.07472 | + | 0.121092i | 0.631544 | − | 0.775340i | \(-0.282422\pi\) |
0.443180 | + | 0.896433i | \(0.353850\pi\) | |||||||
\(3\) | −318.343 | − | 200.028i | −1.31005 | − | 0.823161i | −0.317892 | − | 0.948127i | \(-0.602975\pi\) |
−0.992161 | + | 0.124966i | \(0.960118\pi\) | |||||||
\(4\) | 169.411 | + | 38.6669i | 0.165440 | + | 0.0377606i | ||||
\(5\) | 4257.16 | − | 3394.97i | 1.36229 | − | 1.08639i | 0.375076 | − | 0.926994i | \(-0.377617\pi\) |
0.987215 | − | 0.159396i | \(-0.0509547\pi\) | |||||||
\(6\) | −10173.1 | − | 8112.76i | −1.30827 | − | 1.04331i | ||||
\(7\) | 622.677 | + | 2728.12i | 0.0370486 | + | 0.162321i | 0.990068 | − | 0.140588i | \(-0.0448994\pi\) |
−0.953020 | + | 0.302909i | \(0.902042\pi\) | |||||||
\(8\) | −27774.2 | − | 9718.63i | −0.847603 | − | 0.296589i | ||||
\(9\) | 35710.5 | + | 74153.6i | 0.604761 | + | 1.25580i | ||||
\(10\) | 159564. | − | 100261.i | 1.59564 | − | 1.00261i | ||||
\(11\) | −127349. | + | 44561.3i | −0.790736 | + | 0.276690i | −0.695276 | − | 0.718743i | \(-0.744718\pi\) |
−0.0954597 | + | 0.995433i | \(0.530432\pi\) | |||||||
\(12\) | −46196.2 | − | 46196.2i | −0.185652 | − | 0.185652i | ||||
\(13\) | 73775.7 | − | 153197.i | 0.198700 | − | 0.412604i | −0.777682 | − | 0.628658i | \(-0.783605\pi\) |
0.976381 | + | 0.216054i | \(0.0693188\pi\) | |||||||
\(14\) | 10843.2 | + | 96236.2i | 0.0201613 | + | 0.178936i | ||||
\(15\) | −2.03432e6 | + | 229213.i | −2.67895 | + | 0.301845i | ||||
\(16\) | −1.07785e6 | − | 519063.i | −1.02791 | − | 0.495017i | ||||
\(17\) | −1.76715e6 | + | 1.76715e6i | −1.24460 | + | 1.24460i | −0.286525 | + | 0.958073i | \(0.592500\pi\) |
−0.958073 | + | 0.286525i | \(0.907500\pi\) | |||||||
\(18\) | 940784. | + | 2.68861e6i | 0.497883 | + | 1.42287i | ||||
\(19\) | −1.07994e6 | − | 1.71872e6i | −0.436148 | − | 0.694125i | 0.554254 | − | 0.832348i | \(-0.313004\pi\) |
−0.990401 | + | 0.138223i | \(0.955861\pi\) | |||||||
\(20\) | 852481. | − | 410533.i | 0.266400 | − | 0.128292i | ||||
\(21\) | 347477. | − | 993031.i | 0.0850803 | − | 0.243146i | ||||
\(22\) | −4.55234e6 | + | 1.03904e6i | −0.883328 | + | 0.201614i | ||||
\(23\) | −672709. | + | 843551.i | −0.104517 | + | 0.131061i | −0.831339 | − | 0.555766i | \(-0.812425\pi\) |
0.726822 | + | 0.686826i | \(0.240997\pi\) | |||||||
\(24\) | 6.89773e6 | + | 8.64948e6i | 0.866264 | + | 1.08626i | ||||
\(25\) | 4.42451e6 | − | 1.93851e7i | 0.453070 | − | 1.98503i | ||||
\(26\) | 3.13086e6 | − | 4.98274e6i | 0.263510 | − | 0.419374i | ||||
\(27\) | 978939. | − | 8.68833e6i | 0.0682240 | − | 0.605504i | ||||
\(28\) | 486251.i | 0.0282534i | ||||||||
\(29\) | 1.20015e7 | + | 1.66334e7i | 0.585122 | + | 0.810946i | ||||
\(30\) | −7.08510e7 | −2.91568 | ||||||||
\(31\) | −2.72154e7 | − | 3.06643e6i | −0.950617 | − | 0.107109i | −0.376983 | − | 0.926220i | \(-0.623038\pi\) |
−0.573634 | + | 0.819111i | \(0.694467\pi\) | |||||||
\(32\) | −9.54378e6 | − | 5.99675e6i | −0.284427 | − | 0.178717i | ||||
\(33\) | 4.94541e7 | + | 1.12876e7i | 1.26367 | + | 0.288423i | ||||
\(34\) | −6.76220e7 | + | 5.39268e7i | −1.48831 | + | 1.18689i | ||||
\(35\) | 1.19127e7 | + | 9.50009e6i | 0.226815 | + | 0.180879i | ||||
\(36\) | 3.18245e6 | + | 1.39432e7i | 0.0526320 | + | 0.230596i | ||||
\(37\) | 8.72371e7 | + | 3.05256e7i | 1.25803 | + | 0.440205i | 0.875267 | − | 0.483639i | \(-0.160685\pi\) |
0.382768 | + | 0.923845i | \(0.374971\pi\) | |||||||
\(38\) | −3.04806e7 | − | 6.32936e7i | −0.384685 | − | 0.798807i | ||||
\(39\) | −5.41296e7 | + | 3.40119e7i | −0.599946 | + | 0.376971i | ||||
\(40\) | −1.51234e8 | + | 5.29190e7i | −1.47689 | + | 0.516787i | ||||
\(41\) | −1.37470e8 | − | 1.37470e8i | −1.18655 | − | 1.18655i | −0.978014 | − | 0.208541i | \(-0.933128\pi\) |
−0.208541 | − | 0.978014i | \(-0.566872\pi\) | |||||||
\(42\) | 1.57981e7 | − | 3.28051e7i | 0.120881 | − | 0.251012i | ||||
\(43\) | −5.14227e6 | − | 4.56389e7i | −0.0349794 | − | 0.310451i | −0.999003 | − | 0.0446354i | \(-0.985787\pi\) |
0.964024 | − | 0.265815i | \(-0.0856412\pi\) | |||||||
\(44\) | −2.32973e7 | + | 2.62498e6i | −0.141267 | + | 0.0159170i | ||||
\(45\) | 4.03775e8 | + | 1.94448e8i | 2.18815 | + | 1.05376i | ||||
\(46\) | −2.64040e7 | + | 2.64040e7i | −0.128198 | + | 0.128198i | ||||
\(47\) | −8.02579e7 | − | 2.29364e8i | −0.349944 | − | 1.00008i | −0.975518 | − | 0.219918i | \(-0.929421\pi\) |
0.625575 | − | 0.780164i | \(-0.284865\pi\) | |||||||
\(48\) | 2.39297e8 | + | 3.80839e8i | 0.939143 | + | 1.49464i | ||||
\(49\) | 2.47446e8 | − | 1.19164e8i | 0.875993 | − | 0.421856i | ||||
\(50\) | 2.27280e8 | − | 6.49530e8i | 0.727297 | − | 2.07850i | ||||
\(51\) | 9.16039e8 | − | 2.09080e8i | 2.65499 | − | 0.605985i | ||||
\(52\) | 1.84221e7 | − | 2.31005e7i | 0.0484531 | − | 0.0607582i | ||||
\(53\) | 3.88892e7 | + | 4.87655e7i | 0.0929928 | + | 0.116609i | 0.826151 | − | 0.563449i | \(-0.190526\pi\) |
−0.733158 | + | 0.680058i | \(0.761954\pi\) | |||||||
\(54\) | 6.73337e7 | − | 2.95008e8i | 0.146644 | − | 0.642489i | ||||
\(55\) | −3.90860e8 | + | 6.22049e8i | −0.776618 | + | 1.23598i | ||||
\(56\) | 9.21926e6 | − | 8.18232e7i | 0.0167400 | − | 0.148572i | ||||
\(57\) | 7.63162e8i | 1.26836i | ||||||||
\(58\) | 3.48292e8 | + | 6.18548e8i | 0.530645 | + | 0.942396i | ||||
\(59\) | −1.10724e8 | −0.154876 | −0.0774379 | − | 0.996997i | \(-0.524674\pi\) | ||||
−0.0774379 | + | 0.996997i | \(0.524674\pi\) | |||||||
\(60\) | −3.53499e8 | − | 3.98298e7i | −0.454603 | − | 0.0512215i | ||||
\(61\) | −8.47655e8 | − | 5.32617e8i | −1.00362 | − | 0.630617i | −0.0732801 | − | 0.997311i | \(-0.523347\pi\) |
−0.930342 | + | 0.366694i | \(0.880490\pi\) | |||||||
\(62\) | −9.24086e8 | − | 2.10917e8i | −1.00868 | − | 0.230225i | ||||
\(63\) | −1.80064e8 | + | 1.43596e8i | −0.181437 | + | 0.144691i | ||||
\(64\) | 6.52783e8 | + | 5.20577e8i | 0.607951 | + | 0.484825i | ||||
\(65\) | −2.06024e8 | − | 9.02650e8i | −0.177562 | − | 0.777951i | ||||
\(66\) | 1.65704e9 | + | 5.79825e8i | 1.32317 | + | 0.462996i | ||||
\(67\) | −1.09957e9 | − | 2.28329e9i | −0.814423 | − | 1.69117i | −0.718232 | − | 0.695804i | \(-0.755048\pi\) |
−0.0961914 | − | 0.995363i | \(-0.530666\pi\) | |||||||
\(68\) | −3.67705e8 | + | 2.31044e8i | −0.252903 | + | 0.158910i | ||||
\(69\) | 3.82886e8 | − | 1.33978e8i | 0.244807 | − | 0.0856617i | ||||
\(70\) | 3.72880e8 | + | 3.72880e8i | 0.221860 | + | 0.221860i | ||||
\(71\) | −6.98018e8 | + | 1.44945e9i | −0.386879 | + | 0.803362i | 0.613033 | + | 0.790057i | \(0.289949\pi\) |
−0.999911 | + | 0.0133043i | \(0.995765\pi\) | |||||||
\(72\) | −2.71161e8 | − | 2.40662e9i | −0.140141 | − | 1.24378i | ||||
\(73\) | 5.90298e8 | − | 6.65107e7i | 0.284746 | − | 0.0320831i | 0.0315635 | − | 0.999502i | \(-0.489951\pi\) |
0.253182 | + | 0.967419i | \(0.418523\pi\) | |||||||
\(74\) | 2.88190e9 | + | 1.38785e9i | 1.29873 | + | 0.625438i | ||||
\(75\) | −5.28607e9 | + | 5.28607e9i | −2.22754 | + | 2.22754i | ||||
\(76\) | −1.16497e8 | − | 3.32928e8i | −0.0459457 | − | 0.131305i | ||||
\(77\) | −2.00866e8 | − | 3.19676e8i | −0.0742083 | − | 0.118102i | ||||
\(78\) | −1.99338e9 | + | 9.59959e8i | −0.690425 | + | 0.332491i | ||||
\(79\) | 1.36404e9 | − | 3.89819e9i | 0.443293 | − | 1.26686i | −0.478128 | − | 0.878290i | \(-0.658684\pi\) |
0.921420 | − | 0.388567i | \(-0.127030\pi\) | |||||||
\(80\) | −6.35076e9 | + | 1.44952e9i | −1.93810 | + | 0.442358i | ||||
\(81\) | 9.80606e8 | − | 1.22964e9i | 0.281235 | − | 0.352658i | ||||
\(82\) | −4.19506e9 | − | 5.26043e9i | −1.13154 | − | 1.41890i | ||||
\(83\) | 5.86595e8 | − | 2.57004e9i | 0.148918 | − | 0.652453i | −0.844269 | − | 0.535920i | \(-0.819965\pi\) |
0.993187 | − | 0.116533i | \(-0.0371781\pi\) | |||||||
\(84\) | 9.72638e7 | − | 1.54794e8i | 0.0232570 | − | 0.0370134i | ||||
\(85\) | −1.52362e9 | + | 1.35225e10i | −0.343385 | + | 3.04762i | ||||
\(86\) | − | 1.58950e9i | − | 0.337885i | ||||||
\(87\) | −4.93445e8 | − | 7.69577e9i | −0.0990017 | − | 1.54403i | ||||
\(88\) | 3.97009e9 | 0.752293 | ||||||||
\(89\) | 6.82927e8 | + | 7.69474e7i | 0.122299 | + | 0.0137798i | 0.172902 | − | 0.984939i | \(-0.444686\pi\) |
−0.0506026 | + | 0.998719i | \(0.516114\pi\) | |||||||
\(90\) | 1.31328e10 | + | 8.25189e9i | 2.22405 | + | 1.39746i | ||||
\(91\) | 4.63879e8 | + | 1.05877e8i | 0.0743357 | + | 0.0169666i | ||||
\(92\) | −1.46582e8 | + | 1.16895e8i | −0.0222403 | + | 0.0177360i | ||||
\(93\) | 8.05044e9 | + | 6.42001e9i | 1.15719 | + | 0.922829i | ||||
\(94\) | −1.87139e9 | − | 8.19908e9i | −0.254991 | − | 1.11719i | ||||
\(95\) | −1.04325e10 | − | 3.65049e9i | −1.34825 | − | 0.471773i | ||||
\(96\) | 1.83867e9 | + | 3.81805e9i | 0.225501 | + | 0.468258i | ||||
\(97\) | −9.15356e9 | + | 5.75156e9i | −1.06594 | + | 0.669772i | −0.946380 | − | 0.323055i | \(-0.895290\pi\) |
−0.119556 | + | 0.992827i | \(0.538147\pi\) | |||||||
\(98\) | 8.97173e9 | − | 3.13934e9i | 0.992535 | − | 0.347303i | ||||
\(99\) | −7.85207e9 | − | 7.85207e9i | −0.825673 | − | 0.825673i | ||||
\(100\) | 1.49912e9 | − | 3.11296e9i | 0.149912 | − | 0.311296i | ||||
\(101\) | −3.61955e8 | − | 3.21244e9i | −0.0344388 | − | 0.305653i | −0.999109 | − | 0.0421940i | \(-0.986565\pi\) |
0.964671 | − | 0.263459i | \(-0.0848633\pi\) | |||||||
\(102\) | 3.23138e10 | − | 3.64090e9i | 2.92676 | − | 0.329767i | ||||
\(103\) | 9.13065e8 | + | 4.39709e8i | 0.0787618 | + | 0.0379297i | 0.472850 | − | 0.881143i | \(-0.343225\pi\) |
−0.394088 | + | 0.919073i | \(0.628940\pi\) | |||||||
\(104\) | −3.53793e9 | + | 3.53793e9i | −0.290792 | + | 0.290792i | ||||
\(105\) | −1.89205e9 | − | 5.40716e9i | −0.148247 | − | 0.423665i | ||||
\(106\) | 1.14848e9 | + | 1.82779e9i | 0.0858211 | + | 0.136583i | ||||
\(107\) | −7.26582e9 | + | 3.49903e9i | −0.518043 | + | 0.249476i | −0.674588 | − | 0.738195i | \(-0.735679\pi\) |
0.156545 | + | 0.987671i | \(0.449964\pi\) | |||||||
\(108\) | 5.01794e8 | − | 1.43404e9i | 0.0341512 | − | 0.0975986i | ||||
\(109\) | 1.60633e10 | − | 3.66633e9i | 1.04400 | − | 0.238286i | 0.334063 | − | 0.942551i | \(-0.391580\pi\) |
0.709938 | + | 0.704264i | \(0.248723\pi\) | |||||||
\(110\) | −1.58525e10 | + | 1.98784e10i | −0.984317 | + | 1.23429i | ||||
\(111\) | −2.16653e10 | − | 2.71675e10i | −1.28573 | − | 1.61226i | ||||
\(112\) | 7.44920e8 | − | 3.26371e9i | 0.0422687 | − | 0.185191i | ||||
\(113\) | 6.35404e9 | − | 1.01124e10i | 0.344872 | − | 0.548860i | −0.628582 | − | 0.777743i | \(-0.716364\pi\) |
0.973454 | + | 0.228883i | \(0.0735073\pi\) | |||||||
\(114\) | −2.95722e9 | + | 2.62460e10i | −0.153589 | + | 1.36314i | ||||
\(115\) | 5.87495e9i | 0.292089i | ||||||||
\(116\) | 1.39002e9 | + | 3.28194e9i | 0.0661808 | + | 0.156258i | ||||
\(117\) | 1.39947e10 | 0.638313 | ||||||||
\(118\) | −3.80794e9 | − | 4.29052e8i | −0.166449 | − | 0.0187543i | ||||
\(119\) | −5.92137e9 | − | 3.72064e9i | −0.248135 | − | 0.155913i | ||||
\(120\) | 5.87295e10 | + | 1.34046e10i | 2.36021 | + | 0.538701i | ||||
\(121\) | −6.04669e9 | + | 4.82208e9i | −0.233126 | + | 0.185912i | ||||
\(122\) | −2.70880e10 | − | 2.16019e10i | −1.00225 | − | 0.799270i | ||||
\(123\) | 1.62647e10 | + | 7.12603e10i | 0.577724 | + | 2.53117i | ||||
\(124\) | −4.49201e9 | − | 1.57182e9i | −0.153226 | − | 0.0536160i | ||||
\(125\) | −2.39041e10 | − | 4.96374e10i | −0.783290 | − | 1.62652i | ||||
\(126\) | −6.74905e9 | + | 4.24071e9i | −0.212515 | + | 0.133532i | ||||
\(127\) | −1.38828e10 | + | 4.85780e9i | −0.420202 | + | 0.147035i | −0.532094 | − | 0.846685i | \(-0.678595\pi\) |
0.111892 | + | 0.993720i | \(0.464309\pi\) | |||||||
\(128\) | 2.85941e10 | + | 2.85941e10i | 0.832199 | + | 0.832199i | ||||
\(129\) | −7.49205e9 | + | 1.55574e10i | −0.209726 | + | 0.435501i | ||||
\(130\) | −3.58768e9 | − | 3.18415e10i | −0.0966265 | − | 0.857584i | ||||
\(131\) | −2.30538e10 | + | 2.59754e9i | −0.597566 | + | 0.0673296i | −0.405567 | − | 0.914065i | \(-0.632926\pi\) |
−0.192000 | + | 0.981395i | \(0.561497\pi\) | |||||||
\(132\) | 7.94159e9 | + | 3.82447e9i | 0.198170 | + | 0.0954337i | ||||
\(133\) | 4.01643e9 | − | 4.01643e9i | 0.0965122 | − | 0.0965122i | ||||
\(134\) | −2.89680e10 | − | 8.27857e10i | −0.670493 | − | 1.91616i | ||||
\(135\) | −2.53291e10 | − | 4.03110e10i | −0.564873 | − | 0.898991i | ||||
\(136\) | 6.62556e10 | − | 3.19070e10i | 1.42406 | − | 0.685790i | ||||
\(137\) | 2.73361e10 | − | 7.81221e10i | 0.566414 | − | 1.61872i | −0.202442 | − | 0.979294i | \(-0.564888\pi\) |
0.768855 | − | 0.639423i | \(-0.220827\pi\) | |||||||
\(138\) | 1.36870e10 | − | 3.12398e9i | 0.273473 | − | 0.0624184i | ||||
\(139\) | −5.89681e10 | + | 7.39437e10i | −1.13643 | + | 1.42504i | −0.246384 | + | 0.969172i | \(0.579242\pi\) |
−0.890048 | + | 0.455868i | \(0.849329\pi\) | |||||||
\(140\) | 1.65081e9 | + | 2.07005e9i | 0.0306942 | + | 0.0384893i | ||||
\(141\) | −2.03297e10 | + | 8.90701e10i | −0.364783 | + | 1.59822i | ||||
\(142\) | −2.96222e10 | + | 4.71434e10i | −0.513069 | + | 0.816544i | ||||
\(143\) | −2.56860e9 | + | 2.27970e10i | −0.0429553 | + | 0.381239i | ||||
\(144\) | − | 9.84622e10i | − | 1.59022i | ||||||
\(145\) | 1.07562e11 | + | 3.00663e10i | 1.67811 | + | 0.469073i | ||||
\(146\) | 2.05588e10 | 0.309908 | ||||||||
\(147\) | −1.02609e11 | − | 1.15612e10i | −1.49485 | − | 0.168429i | ||||
\(148\) | 1.35986e10 | + | 8.54455e9i | 0.191507 | + | 0.120332i | ||||
\(149\) | 1.08170e11 | + | 2.46891e10i | 1.47291 | + | 0.336182i | 0.882266 | − | 0.470751i | \(-0.156017\pi\) |
0.590643 | + | 0.806933i | \(0.298874\pi\) | |||||||
\(150\) | −2.02277e11 | + | 1.61311e11i | −2.66373 | + | 2.12426i | ||||
\(151\) | 1.75615e10 | + | 1.40048e10i | 0.223705 | + | 0.178399i | 0.728929 | − | 0.684590i | \(-0.240019\pi\) |
−0.505224 | + | 0.862988i | \(0.668590\pi\) | |||||||
\(152\) | 1.32910e10 | + | 5.82318e10i | 0.163810 | + | 0.717699i | ||||
\(153\) | −1.94147e11 | − | 6.79348e10i | −2.31565 | − | 0.810280i | ||||
\(154\) | −5.66928e9 | − | 1.17724e10i | −0.0654522 | − | 0.135913i | ||||
\(155\) | −1.26271e11 | + | 7.93410e10i | −1.41138 | + | 0.886828i | ||||
\(156\) | −1.04853e10 | + | 3.66896e9i | −0.113490 | + | 0.0397118i | ||||
\(157\) | −3.73466e10 | − | 3.73466e10i | −0.391519 | − | 0.391519i | 0.483710 | − | 0.875228i | \(-0.339289\pi\) |
−0.875228 | + | 0.483710i | \(0.839289\pi\) | |||||||
\(158\) | 6.20161e10 | − | 1.28778e11i | 0.629824 | − | 1.30784i | ||||
\(159\) | −2.62562e9 | − | 2.33031e10i | −0.0258373 | − | 0.229312i | ||||
\(160\) | −6.09881e10 | + | 6.87171e9i | −0.581628 | + | 0.0655338i | ||||
\(161\) | −2.72019e9 | − | 1.30997e9i | −0.0251461 | − | 0.0121097i | ||||
\(162\) | 3.84890e10 | − | 3.84890e10i | 0.344954 | − | 0.344954i | ||||
\(163\) | 2.29607e10 | + | 6.56178e10i | 0.199547 | + | 0.570274i | 0.999559 | − | 0.0297114i | \(-0.00945883\pi\) |
−0.800011 | + | 0.599985i | \(0.795173\pi\) | |||||||
\(164\) | −1.79733e10 | − | 2.86044e10i | −0.151499 | − | 0.241109i | ||||
\(165\) | 2.48855e11 | − | 1.19842e11i | 2.03482 | − | 0.979918i | ||||
\(166\) | 3.01325e10 | − | 8.61136e10i | 0.239053 | − | 0.683174i | ||||
\(167\) | 2.30238e11 | − | 5.25504e10i | 1.77254 | − | 0.404570i | 0.793552 | − | 0.608503i | \(-0.208229\pi\) |
0.978985 | + | 0.203933i | \(0.0653723\pi\) | |||||||
\(168\) | −1.93018e10 | + | 2.42037e10i | −0.144229 | + | 0.180857i | ||||
\(169\) | 6.79269e10 | + | 8.51777e10i | 0.492729 | + | 0.617863i | ||||
\(170\) | −1.04798e11 | + | 4.59149e11i | −0.738087 | + | 3.23377i | ||||
\(171\) | 8.88841e10 | − | 1.41458e11i | 0.607916 | − | 0.967493i | ||||
\(172\) | 8.93559e8 | − | 7.93056e9i | 0.00593582 | − | 0.0526819i | ||||
\(173\) | − | 1.17501e11i | − | 0.758249i | −0.925346 | − | 0.379124i | \(-0.876225\pi\) | ||
0.925346 | − | 0.379124i | \(-0.123775\pi\) | |||||||
\(174\) | 1.28506e10 | − | 2.66579e11i | 0.0805707 | − | 1.67139i | ||||
\(175\) | 5.56399e10 | 0.338997 | ||||||||
\(176\) | 1.60392e11 | + | 1.80719e10i | 0.949775 | + | 0.107014i | ||||
\(177\) | 3.52483e10 | + | 2.21480e10i | 0.202895 | + | 0.127488i | ||||
\(178\) | 2.31885e10 | + | 5.29262e9i | 0.129769 | + | 0.0296190i | ||||
\(179\) | 2.81440e10 | − | 2.24441e10i | 0.153151 | − | 0.122134i | −0.543916 | − | 0.839139i | \(-0.683059\pi\) |
0.697068 | + | 0.717005i | \(0.254488\pi\) | |||||||
\(180\) | 6.08851e10 | + | 4.85542e10i | 0.322217 | + | 0.256959i | ||||
\(181\) | −3.44792e10 | − | 1.51063e11i | −0.177486 | − | 0.777618i | −0.982786 | − | 0.184750i | \(-0.940853\pi\) |
0.805299 | − | 0.592869i | \(-0.202005\pi\) | |||||||
\(182\) | 1.55431e10 | + | 5.43875e9i | 0.0778358 | + | 0.0272359i | ||||
\(183\) | 1.63307e11 | + | 3.39110e11i | 0.795698 | + | 1.65228i | ||||
\(184\) | 2.68821e10 | − | 1.68912e10i | 0.127460 | − | 0.0800886i | ||||
\(185\) | 4.75016e11 | − | 1.66215e11i | 2.19204 | − | 0.767029i | ||||
\(186\) | 2.51987e11 | + | 2.51987e11i | 1.13191 | + | 1.13191i | ||||
\(187\) | 1.46298e11 | − | 3.03791e11i | 0.639780 | − | 1.32852i | ||||
\(188\) | −4.72776e9 | − | 4.19600e10i | −0.0201310 | − | 0.178668i | ||||
\(189\) | 2.43124e10 | − | 2.73935e9i | 0.100814 | − | 0.0113590i | ||||
\(190\) | −3.44640e11 | − | 1.65970e11i | −1.39187 | − | 0.670289i | ||||
\(191\) | −2.17880e11 | + | 2.17880e11i | −0.857136 | + | 0.857136i | −0.991000 | − | 0.133864i | \(-0.957262\pi\) |
0.133864 | + | 0.991000i | \(0.457262\pi\) | |||||||
\(192\) | −1.03679e11 | − | 2.96297e11i | −0.397359 | − | 1.13559i | ||||
\(193\) | −1.88540e11 | − | 3.00059e11i | −0.704071 | − | 1.12052i | −0.986897 | − | 0.161352i | \(-0.948415\pi\) |
0.282826 | − | 0.959171i | \(-0.408728\pi\) | |||||||
\(194\) | −3.37089e11 | + | 1.62333e11i | −1.22669 | + | 0.590744i | ||||
\(195\) | −1.14969e11 | + | 3.28563e11i | −0.407763 | + | 1.16532i | ||||
\(196\) | 4.65278e10 | − | 1.06197e10i | 0.160854 | − | 0.0367139i | ||||
\(197\) | −2.00896e11 | + | 2.51915e11i | −0.677080 | + | 0.849031i | −0.995082 | − | 0.0990589i | \(-0.968417\pi\) |
0.318002 | + | 0.948090i | \(0.396988\pi\) | |||||||
\(198\) | −2.39615e11 | − | 3.00468e11i | −0.787388 | − | 0.987353i | ||||
\(199\) | 1.16961e11 | − | 5.12441e11i | 0.374780 | − | 1.64202i | −0.338374 | − | 0.941012i | \(-0.609877\pi\) |
0.713154 | − | 0.701007i | \(-0.247266\pi\) | |||||||
\(200\) | −3.11284e11 | + | 4.95405e11i | −0.972761 | + | 1.54814i | ||||
\(201\) | −1.06680e11 | + | 9.46813e11i | −0.325165 | + | 2.88592i | ||||
\(202\) | − | 1.11882e11i | − | 0.332663i | ||||||
\(203\) | −3.79050e10 | + | 4.30989e10i | −0.109955 | + | 0.125022i | ||||
\(204\) | 1.63271e11 | 0.462125 | ||||||||
\(205\) | −1.05194e12 | − | 1.18525e11i | −2.90549 | − | 0.327371i | ||||
\(206\) | 2.96975e10 | + | 1.86602e10i | 0.0800542 | + | 0.0503014i | ||||
\(207\) | −8.65751e10 | − | 1.97602e10i | −0.227794 | − | 0.0519924i | ||||
\(208\) | −1.59038e11 | + | 1.26828e11i | −0.408492 | + | 0.325762i | ||||
\(209\) | 2.14118e11 | + | 1.70753e11i | 0.536935 | + | 0.428191i | ||||
\(210\) | −4.41172e10 | − | 1.93290e11i | −0.108022 | − | 0.473275i | ||||
\(211\) | 4.96723e11 | + | 1.73811e11i | 1.18769 | + | 0.415590i | 0.850564 | − | 0.525871i | \(-0.176261\pi\) |
0.337122 | + | 0.941461i | \(0.390546\pi\) | |||||||
\(212\) | 4.70263e9 | + | 9.76512e9i | 0.0109815 | + | 0.0228033i | ||||
\(213\) | 5.12139e11 | − | 3.21798e11i | 1.16813 | − | 0.733983i | ||||
\(214\) | −2.63438e11 | + | 9.21811e10i | −0.586962 | + | 0.205387i | ||||
\(215\) | −1.76834e11 | − | 1.76834e11i | −0.384923 | − | 0.384923i | ||||
\(216\) | −1.11628e11 | + | 2.31798e11i | −0.237413 | + | 0.492993i | ||||
\(217\) | −8.58075e9 | − | 7.61563e10i | −0.0178331 | − | 0.158273i | ||||
\(218\) | 5.66641e11 | − | 6.38451e10i | 1.15087 | − | 0.129672i | ||||
\(219\) | −2.01221e11 | − | 9.69030e10i | −0.399442 | − | 0.192361i | ||||
\(220\) | −9.02685e10 | + | 9.02685e10i | −0.175155 | + | 0.175155i | ||||
\(221\) | 1.40349e11 | + | 4.01095e11i | 0.266225 | + | 0.760827i | ||||
\(222\) | −6.39823e11 | − | 1.01827e12i | −1.18658 | − | 1.88842i | ||||
\(223\) | −6.92874e11 | + | 3.33670e11i | −1.25641 | + | 0.605053i | −0.939222 | − | 0.343311i | \(-0.888451\pi\) |
−0.317184 | + | 0.948364i | \(0.602737\pi\) | |||||||
\(224\) | 1.04172e10 | − | 2.97706e10i | 0.0184719 | − | 0.0527896i | ||||
\(225\) | 1.59547e12 | − | 3.64157e11i | 2.76680 | − | 0.631503i | ||||
\(226\) | 2.57708e11 | − | 3.23155e11i | 0.437105 | − | 0.548112i | ||||
\(227\) | −7.94578e10 | − | 9.96369e10i | −0.131828 | − | 0.165307i | 0.711536 | − | 0.702649i | \(-0.248000\pi\) |
−0.843364 | + | 0.537342i | \(0.819428\pi\) | |||||||
\(228\) | −2.95091e10 | + | 1.29288e11i | −0.0478941 | + | 0.209838i | ||||
\(229\) | 2.01768e11 | − | 3.21112e11i | 0.320387 | − | 0.509893i | −0.647237 | − | 0.762289i | \(-0.724076\pi\) |
0.967624 | + | 0.252396i | \(0.0812185\pi\) | |||||||
\(230\) | −2.27652e10 | + | 2.02047e11i | −0.0353697 | + | 0.313915i | ||||
\(231\) | 1.41945e11i | 0.215805i | ||||||||
\(232\) | −1.71679e11 | − | 5.78619e11i | −0.255433 | − | 0.860900i | ||||
\(233\) | −4.14041e10 | −0.0602926 | −0.0301463 | − | 0.999545i | \(-0.509597\pi\) | ||||
−0.0301463 | + | 0.999545i | \(0.509597\pi\) | |||||||
\(234\) | 4.81293e11 | + | 5.42287e10i | 0.686010 | + | 0.0772948i | ||||
\(235\) | −1.12035e12 | − | 7.03965e11i | −1.56320 | − | 0.982226i | ||||
\(236\) | −1.87579e10 | − | 4.28137e9i | −0.0256227 | − | 0.00584821i | ||||
\(237\) | −1.21398e12 | + | 9.68116e11i | −1.62356 | + | 1.29475i | ||||
\(238\) | −1.89226e11 | − | 1.50902e11i | −0.247796 | − | 0.197611i | ||||
\(239\) | −1.20203e11 | − | 5.26644e11i | −0.154144 | − | 0.675347i | −0.991654 | − | 0.128926i | \(-0.958847\pi\) |
0.837511 | − | 0.546421i | \(-0.184010\pi\) | |||||||
\(240\) | 2.31166e12 | + | 8.08886e11i | 2.90314 | + | 1.01585i | ||||
\(241\) | 4.99350e11 | + | 1.03691e12i | 0.614214 | + | 1.27543i | 0.943554 | + | 0.331218i | \(0.107460\pi\) |
−0.329340 | + | 0.944211i | \(0.606826\pi\) | |||||||
\(242\) | −2.26638e11 | + | 1.42406e11i | −0.273059 | + | 0.171574i | ||||
\(243\) | −1.04544e12 | + | 3.65816e11i | −1.23387 | + | 0.431749i | ||||
\(244\) | −1.23007e11 | − | 1.23007e11i | −0.142227 | − | 0.142227i | ||||
\(245\) | 6.48861e11 | − | 1.34737e12i | 0.735057 | − | 1.52636i | ||||
\(246\) | 2.83232e11 | + | 2.51375e12i | 0.314388 | + | 2.79027i | ||||
\(247\) | −3.42977e11 | + | 3.86442e10i | −0.373061 | + | 0.0420339i | ||||
\(248\) | 7.26085e11 | + | 3.49664e11i | 0.773978 | + | 0.372728i | ||||
\(249\) | −7.00818e11 | + | 7.00818e11i | −0.732164 | + | 0.732164i | ||||
\(250\) | −6.29748e11 | − | 1.79972e12i | −0.644862 | − | 1.84291i | ||||
\(251\) | 9.84546e11 | + | 1.56690e12i | 0.988251 | + | 1.57279i | 0.808008 | + | 0.589171i | \(0.200546\pi\) |
0.180243 | + | 0.983622i | \(0.442312\pi\) | |||||||
\(252\) | −3.60573e10 | + | 1.73643e10i | −0.0354805 | + | 0.0170865i | ||||
\(253\) | 4.80790e10 | − | 1.37402e11i | 0.0463824 | − | 0.132553i | ||||
\(254\) | −4.96269e11 | + | 1.13270e11i | −0.469406 | + | 0.107139i | ||||
\(255\) | 3.18990e12 | − | 4.00001e12i | 2.95853 | − | 3.70988i | ||||
\(256\) | 3.39514e11 | + | 4.25737e11i | 0.308786 | + | 0.387205i | ||||
\(257\) | 1.48083e11 | − | 6.48795e11i | 0.132081 | − | 0.578684i | −0.864962 | − | 0.501837i | \(-0.832658\pi\) |
0.997043 | − | 0.0768469i | \(-0.0244853\pi\) | |||||||
\(258\) | −3.17945e11 | + | 5.06006e11i | −0.278133 | + | 0.442647i | ||||
\(259\) | −2.89571e10 | + | 2.57001e11i | −0.0248460 | + | 0.220514i | ||||
\(260\) | − | 1.60885e11i | − | 0.135409i | ||||||
\(261\) | −8.04849e11 | + | 1.48394e12i | −0.664526 | + | 1.22522i | ||||
\(262\) | −8.02913e11 | −0.650372 | ||||||||
\(263\) | 5.45521e11 | + | 6.14655e10i | 0.433544 | + | 0.0488486i | 0.326040 | − | 0.945356i | \(-0.394286\pi\) |
0.107504 | + | 0.994205i | \(0.465714\pi\) | |||||||
\(264\) | −1.26385e12 | − | 7.94129e11i | −0.985543 | − | 0.619258i | ||||
\(265\) | 3.31114e11 | + | 7.55747e10i | 0.253366 | + | 0.0578292i | ||||
\(266\) | 1.53693e11 | − | 1.22566e11i | 0.115411 | − | 0.0920371i | ||||
\(267\) | −2.02013e11 | − | 1.61100e11i | −0.148876 | − | 0.118724i | ||||
\(268\) | −9.79919e10 | − | 4.29330e11i | −0.0708788 | − | 0.310540i | ||||
\(269\) | 6.60613e11 | + | 2.31159e11i | 0.469014 | + | 0.164115i | 0.554430 | − | 0.832230i | \(-0.312936\pi\) |
−0.0854161 | + | 0.996345i | \(0.527222\pi\) | |||||||
\(270\) | −7.14894e11 | − | 1.48449e12i | −0.498222 | − | 1.03457i | ||||
\(271\) | −6.69690e11 | + | 4.20794e11i | −0.458171 | + | 0.287888i | −0.741275 | − | 0.671201i | \(-0.765779\pi\) |
0.283104 | + | 0.959089i | \(0.408636\pi\) | |||||||
\(272\) | 2.82198e12 | − | 9.87453e11i | 1.89544 | − | 0.663242i | ||||
\(273\) | −1.26494e11 | − | 1.26494e11i | −0.0834174 | − | 0.0834174i | ||||
\(274\) | 1.24284e12 | − | 2.58078e12i | 0.804752 | − | 1.67109i | ||||
\(275\) | 3.00366e11 | + | 2.66582e12i | 0.190980 | + | 1.69499i | ||||
\(276\) | 7.00455e10 | − | 7.89223e9i | 0.0437356 | − | 0.00492781i | ||||
\(277\) | −5.83761e11 | − | 2.81124e11i | −0.357961 | − | 0.172385i | 0.246256 | − | 0.969205i | \(-0.420800\pi\) |
−0.604217 | + | 0.796820i | \(0.706514\pi\) | |||||||
\(278\) | −2.31451e12 | + | 2.31451e12i | −1.39391 | + | 1.39391i | ||||
\(279\) | −7.44487e11 | − | 2.12762e12i | −0.440389 | − | 1.25856i | ||||
\(280\) | −2.38539e11 | − | 3.79633e11i | −0.138602 | − | 0.220584i | ||||
\(281\) | −8.55403e11 | + | 4.11941e11i | −0.488247 | + | 0.235127i | −0.661776 | − | 0.749701i | \(-0.730197\pi\) |
0.173529 | + | 0.984829i | \(0.444483\pi\) | |||||||
\(282\) | −1.04430e12 | + | 2.98445e12i | −0.585573 | + | 1.67347i | ||||
\(283\) | −6.07531e11 | + | 1.38665e11i | −0.334685 | + | 0.0763897i | −0.386561 | − | 0.922264i | \(-0.626337\pi\) |
0.0518759 | + | 0.998654i | \(0.483480\pi\) | |||||||
\(284\) | −1.74297e11 | + | 2.18562e11i | −0.0943407 | + | 0.118300i | ||||
\(285\) | 2.59091e12 | + | 3.24890e12i | 1.37793 | + | 1.72787i | ||||
\(286\) | −1.76674e11 | + | 7.74061e11i | −0.0923302 | + | 0.404525i | ||||
\(287\) | 2.89435e11 | − | 4.60634e11i | 0.148642 | − | 0.236563i | ||||
\(288\) | 1.03868e11 | − | 9.21853e11i | 0.0524226 | − | 0.465264i | ||||
\(289\) | − | 4.22965e12i | − | 2.09805i | ||||||
\(290\) | 3.58269e12 | + | 1.45081e12i | 1.74670 | + | 0.707330i | ||||
\(291\) | 4.06444e12 | 1.94776 | ||||||||
\(292\) | 1.02575e11 | + | 1.15574e10i | 0.0483199 | + | 0.00544434i | ||||
\(293\) | −1.83698e12 | − | 1.15425e12i | −0.850681 | − | 0.534518i | 0.0346928 | − | 0.999398i | \(-0.488955\pi\) |
−0.885374 | + | 0.464880i | \(0.846098\pi\) | |||||||
\(294\) | −3.48404e12 | − | 7.95210e11i | −1.58616 | − | 0.362030i | ||||
\(295\) | −4.71371e11 | + | 3.75906e11i | −0.210986 | + | 0.168255i | ||||
\(296\) | −2.12628e12 | − | 1.69565e12i | −0.935754 | − | 0.746239i | ||||
\(297\) | 2.62496e11 | + | 1.15007e12i | 0.113590 | + | 0.497671i | ||||
\(298\) | 3.62443e12 | + | 1.26824e12i | 1.54226 | + | 0.539661i | ||||
\(299\) | 7.95997e10 | + | 1.65291e11i | 0.0333085 | + | 0.0691659i | ||||
\(300\) | −1.09991e12 | + | 6.91121e11i | −0.452639 | + | 0.284412i | ||||
\(301\) | 1.21307e11 | − | 4.24470e10i | 0.0490967 | − | 0.0171797i | ||||
\(302\) | 5.49691e11 | + | 5.49691e11i | 0.218818 | + | 0.218818i | ||||
\(303\) | −5.27353e11 | + | 1.09506e12i | −0.206485 | + | 0.428770i | ||||
\(304\) | 2.71889e11 | + | 2.41308e12i | 0.104718 | + | 0.929401i | ||||
\(305\) | −5.41682e12 | + | 6.10329e11i | −2.05232 | + | 0.231241i | ||||
\(306\) | −6.41368e12 | − | 3.08867e12i | −2.39056 | − | 1.15123i | ||||
\(307\) | 1.40103e12 | − | 1.40103e12i | 0.513754 | − | 0.513754i | −0.401921 | − | 0.915674i | \(-0.631657\pi\) |
0.915674 | + | 0.401921i | \(0.131657\pi\) | |||||||
\(308\) | −2.16679e10 | − | 6.19234e10i | −0.00781743 | − | 0.0223409i | ||||
\(309\) | −2.02714e11 | − | 3.22617e11i | −0.0719599 | − | 0.114523i | ||||
\(310\) | −4.65003e12 | + | 2.23934e12i | −1.62423 | + | 0.782188i | ||||
\(311\) | 4.69520e11 | − | 1.34181e12i | 0.161381 | − | 0.461200i | −0.834591 | − | 0.550871i | \(-0.814296\pi\) |
0.995971 | + | 0.0896706i | \(0.0285814\pi\) | |||||||
\(312\) | 1.83396e12 | − | 4.18589e11i | 0.620321 | − | 0.141584i | ||||
\(313\) | −2.52597e11 | + | 3.16746e11i | −0.0840825 | + | 0.105436i | −0.822093 | − | 0.569353i | \(-0.807194\pi\) |
0.738011 | + | 0.674789i | \(0.235765\pi\) | |||||||
\(314\) | −1.13968e12 | − | 1.42911e12i | −0.373365 | − | 0.468185i | ||||
\(315\) | −2.79056e11 | + | 1.22263e12i | −0.0899785 | + | 0.394222i | ||||
\(316\) | 3.81813e11 | − | 6.07653e11i | 0.121176 | − | 0.192850i | ||||
\(317\) | −1.52300e11 | + | 1.35170e12i | −0.0475776 | + | 0.422263i | 0.947235 | + | 0.320540i | \(0.103864\pi\) |
−0.994813 | + | 0.101723i | \(0.967564\pi\) | |||||||
\(318\) | − | 8.11593e11i | − | 0.249576i | ||||||
\(319\) | −2.26958e12 | − | 1.58344e12i | −0.687057 | − | 0.479346i | ||||
\(320\) | 4.54634e12 | 1.35492 | ||||||||
\(321\) | 3.01292e12 | + | 3.39475e11i | 0.884022 | + | 0.0996053i | ||||
\(322\) | −8.84744e10 | − | 5.55922e10i | −0.0255587 | − | 0.0160596i | ||||
\(323\) | 4.94567e12 | + | 1.12882e12i | 1.40673 | + | 0.321078i | ||||
\(324\) | 2.13672e11 | − | 1.70397e11i | 0.0598442 | − | 0.0477241i | ||||
\(325\) | −2.64331e12 | − | 2.10797e12i | −0.729006 | − | 0.581363i | ||||
\(326\) | 5.35378e11 | + | 2.34564e12i | 0.145403 | + | 0.637051i | ||||
\(327\) | −5.84699e12 | − | 2.04595e12i | −1.56384 | − | 0.547213i | ||||
\(328\) | 2.48210e12 | + | 5.15414e12i | 0.653808 | + | 1.35765i | ||||
\(329\) | 5.75758e11 | − | 3.61773e11i | 0.149369 | − | 0.0938548i | ||||
\(330\) | 9.02278e12 | − | 3.15721e12i | 2.30553 | − | 0.806740i | ||||
\(331\) | −5.29932e12 | − | 5.29932e12i | −1.33377 | − | 1.33377i | −0.901970 | − | 0.431799i | \(-0.857879\pi\) |
−0.431799 | − | 0.901970i | \(-0.642121\pi\) | |||||||
\(332\) | 1.98751e11 | − | 4.12711e11i | 0.0492741 | − | 0.102319i | ||||
\(333\) | 8.51699e11 | + | 7.55903e12i | 0.208001 | + | 1.84606i | ||||
\(334\) | 8.12179e12 | − | 9.15107e11i | 1.95398 | − | 0.220160i | ||||
\(335\) | −1.24327e13 | − | 5.98729e12i | −2.94675 | − | 1.41908i | ||||
\(336\) | −8.89973e11 | + | 8.89973e11i | −0.207817 | + | 0.207817i | ||||
\(337\) | −3.33188e11 | − | 9.52197e11i | −0.0766549 | − | 0.219067i | 0.899179 | − | 0.437581i | \(-0.144165\pi\) |
−0.975834 | + | 0.218514i | \(0.929879\pi\) | |||||||
\(338\) | 2.00603e12 | + | 3.19257e12i | 0.454730 | + | 0.723698i | ||||
\(339\) | −4.04552e12 | + | 1.94822e12i | −0.903600 | + | 0.435151i | ||||
\(340\) | −7.80989e11 | + | 2.23194e12i | −0.171890 | + | 0.491233i | ||||
\(341\) | 3.60249e12 | − | 8.22244e11i | 0.781323 | − | 0.178332i | ||||
\(342\) | 3.60497e12 | − | 4.52049e12i | 0.770498 | − | 0.966174i | ||||
\(343\) | 9.72008e11 | + | 1.21886e12i | 0.204738 | + | 0.256734i | ||||
\(344\) | −3.00725e11 | + | 1.31756e12i | −0.0624277 | + | 0.273513i | ||||
\(345\) | 1.17516e12 | − | 1.87025e12i | 0.240436 | − | 0.382652i | ||||
\(346\) | 4.55312e11 | − | 4.04100e12i | 0.0918181 | − | 0.814908i | ||||
\(347\) | 6.96004e12i | 1.38345i | 0.722160 | + | 0.691726i | \(0.243149\pi\) | ||||
−0.722160 | + | 0.691726i | \(0.756851\pi\) | |||||||
\(348\) | 2.13977e11 | − | 1.32283e12i | 0.0419247 | − | 0.259183i | ||||
\(349\) | −4.11335e12 | −0.794454 | −0.397227 | − | 0.917720i | \(-0.630027\pi\) | ||||
−0.397227 | + | 0.917720i | \(0.630027\pi\) | |||||||
\(350\) | 1.91352e12 | + | 2.15602e11i | 0.364328 | + | 0.0410499i | ||||
\(351\) | −1.25880e12 | − | 7.90958e11i | −0.236277 | − | 0.148463i | ||||
\(352\) | 1.48261e12 | + | 3.38396e11i | 0.274356 | + | 0.0626199i | ||||
\(353\) | −5.50012e12 | + | 4.38620e12i | −1.00346 | + | 0.800230i | −0.979899 | − | 0.199492i | \(-0.936071\pi\) |
−0.0235575 | + | 0.999722i | \(0.507499\pi\) | |||||||
\(354\) | 1.12641e12 | + | 8.98281e11i | 0.202619 | + | 0.161583i | ||||
\(355\) | 1.94926e12 | + | 8.54028e12i | 0.345723 | + | 1.51471i | ||||
\(356\) | 1.12720e11 | + | 3.94424e10i | 0.0197129 | + | 0.00689784i | ||||
\(357\) | 1.14079e12 | + | 2.36888e12i | 0.196728 | + | 0.408509i | ||||
\(358\) | 1.05488e12 | − | 6.62822e11i | 0.179385 | − | 0.112715i | ||||
\(359\) | 2.12971e12 | − | 7.45216e11i | 0.357147 | − | 0.124971i | −0.145741 | − | 0.989323i | \(-0.546557\pi\) |
0.502888 | + | 0.864352i | \(0.332271\pi\) | |||||||
\(360\) | −9.32477e12 | − | 9.32477e12i | −1.54215 | − | 1.54215i | ||||
\(361\) | 8.72445e11 | − | 1.81165e12i | 0.142299 | − | 0.295487i | ||||
\(362\) | −6.00418e11 | − | 5.32885e12i | −0.0965852 | − | 0.857217i | ||||
\(363\) | 2.88947e12 | − | 3.25565e11i | 0.458443 | − | 0.0516541i | ||||
\(364\) | 7.44921e10 | + | 3.58735e10i | 0.0116574 | + | 0.00561393i | ||||
\(365\) | 2.28719e12 | − | 2.28719e12i | 0.353052 | − | 0.353052i | ||||
\(366\) | 4.30227e12 | + | 1.22952e13i | 0.655077 | + | 1.87210i | ||||
\(367\) | 7.30330e11 | + | 1.16231e12i | 0.109695 | + | 0.174579i | 0.897061 | − | 0.441908i | \(-0.145698\pi\) |
−0.787365 | + | 0.616487i | \(0.788555\pi\) | |||||||
\(368\) | 1.16293e12 | − | 5.60039e11i | 0.172312 | − | 0.0829811i | ||||
\(369\) | 5.28477e12 | − | 1.51030e13i | 0.772492 | − | 2.20766i | ||||
\(370\) | 1.69804e13 | − | 3.87567e12i | 2.44872 | − | 0.558905i | ||||
\(371\) | −1.08823e11 | + | 1.36460e11i | −0.0154828 | + | 0.0194149i | ||||
\(372\) | 1.11559e12 | + | 1.39890e12i | 0.156599 | + | 0.196369i | ||||
\(373\) | 1.48077e12 | − | 6.48769e12i | 0.205090 | − | 0.898557i | −0.762691 | − | 0.646763i | \(-0.776122\pi\) |
0.967781 | − | 0.251794i | \(-0.0810206\pi\) | |||||||
\(374\) | 6.20853e12 | − | 9.88083e12i | 0.848459 | − | 1.35032i | ||||
\(375\) | −2.31917e12 | + | 2.05832e13i | −0.312735 | + | 2.77560i | ||||
\(376\) | 7.15040e12i | 0.951462i | ||||||||
\(377\) | 3.43361e12 | − | 6.11452e11i | 0.450863 | − | 0.0802889i | ||||
\(378\) | 8.46746e11 | 0.109722 | ||||||||
\(379\) | 1.08683e13 | + | 1.22456e12i | 1.38984 | + | 0.156597i | 0.774952 | − | 0.632020i | \(-0.217774\pi\) |
0.614884 | + | 0.788617i | \(0.289203\pi\) | |||||||
\(380\) | −1.62623e12 | − | 1.02183e12i | −0.205240 | − | 0.128961i | ||||
\(381\) | 5.39119e12 | + | 1.23050e12i | 0.671521 | + | 0.153270i | ||||
\(382\) | −8.33741e12 | + | 6.64886e12i | −1.02498 | + | 0.817392i | ||||
\(383\) | −2.47810e12 | − | 1.97622e12i | −0.300694 | − | 0.239795i | 0.461506 | − | 0.887137i | \(-0.347309\pi\) |
−0.762200 | + | 0.647342i | \(0.775881\pi\) | |||||||
\(384\) | −3.38311e12 | − | 1.48224e13i | −0.405191 | − | 1.77526i | ||||
\(385\) | −1.94041e12 | − | 6.78978e11i | −0.229398 | − | 0.0802698i | ||||
\(386\) | −5.32139e12 | − | 1.10500e13i | −0.620996 | − | 1.28951i | ||||
\(387\) | 3.20066e12 | − | 2.01111e12i | 0.368709 | − | 0.231676i | ||||
\(388\) | −1.77311e12 | + | 6.20437e11i | −0.201640 | + | 0.0705568i | ||||
\(389\) | 5.56299e12 | + | 5.56299e12i | 0.624540 | + | 0.624540i | 0.946689 | − | 0.322149i | \(-0.104405\pi\) |
−0.322149 | + | 0.946689i | \(0.604405\pi\) | |||||||
\(390\) | −5.22708e12 | + | 1.08541e13i | −0.579344 | + | 1.20302i | ||||
\(391\) | −3.01903e11 | − | 2.67946e12i | −0.0330357 | − | 0.293200i | ||||
\(392\) | −8.03075e12 | + | 9.04848e11i | −0.867612 | + | 0.0977564i | ||||
\(393\) | 7.85859e12 | + | 3.78450e12i | 0.838266 | + | 0.403688i | ||||
\(394\) | −7.88520e12 | + | 7.88520e12i | −0.830485 | + | 0.830485i | ||||
\(395\) | −7.42732e12 | − | 2.12261e13i | −0.772408 | − | 2.20742i | ||||
\(396\) | −1.02661e12 | − | 1.63384e12i | −0.105422 | − | 0.167777i | ||||
\(397\) | 2.46281e12 | − | 1.18602e12i | 0.249734 | − | 0.120266i | −0.304830 | − | 0.952407i | \(-0.598600\pi\) |
0.554564 | + | 0.832141i | \(0.312885\pi\) | |||||||
\(398\) | 6.00812e12 | − | 1.71702e13i | 0.601621 | − | 1.71933i | ||||
\(399\) | −2.08200e12 | + | 4.75203e11i | −0.205881 | + | 0.0469910i | ||||
\(400\) | −1.48310e13 | + | 1.85975e13i | −1.44834 | + | 1.81616i | ||||
\(401\) | −4.05688e12 | − | 5.08717e12i | −0.391265 | − | 0.490631i | 0.546716 | − | 0.837318i | \(-0.315878\pi\) |
−0.937981 | + | 0.346688i | \(0.887306\pi\) | |||||||
\(402\) | −7.33772e12 | + | 3.21486e13i | −0.698925 | + | 3.06219i | ||||
\(403\) | −2.47760e12 | + | 3.94308e12i | −0.233081 | + | 0.370946i | ||||
\(404\) | 6.28961e10 | − | 5.58218e11i | 0.00584409 | − | 0.0518677i | ||||
\(405\) | − | 8.56391e12i | − | 0.785953i | ||||||
\(406\) | −1.47060e12 | + | 1.33534e12i | −0.133311 | + | 0.121049i | ||||
\(407\) | −1.24698e13 | −1.11657 | ||||||||
\(408\) | −2.74743e13 | − | 3.09561e12i | −2.43011 | − | 0.273807i | ||||
\(409\) | 1.29541e13 | + | 8.13961e12i | 1.13186 | + | 0.711192i | 0.961667 | − | 0.274220i | \(-0.0884195\pi\) |
0.170188 | + | 0.985412i | \(0.445562\pi\) | |||||||
\(410\) | −3.57180e13 | − | 8.15241e12i | −3.08296 | − | 0.703666i | ||||
\(411\) | −2.43289e13 | + | 1.94016e13i | −2.07450 | + | 1.65435i | ||||
\(412\) | 1.37681e11 | + | 1.09797e11i | 0.0115981 | + | 0.00924919i | ||||
\(413\) | −6.89455e10 | − | 3.02070e11i | −0.00573794 | − | 0.0251395i | ||||
\(414\) | −2.90085e12 | − | 1.01505e12i | −0.238519 | − | 0.0834615i | ||||
\(415\) | −6.22798e12 | − | 1.29325e13i | −0.505949 | − | 1.05061i | ||||
\(416\) | −1.62278e12 | + | 1.01966e12i | −0.130255 | + | 0.0818445i | ||||
\(417\) | 3.35629e13 | − | 1.17442e13i | 2.66182 | − | 0.931412i | ||||
\(418\) | 6.70211e12 | + | 6.70211e12i | 0.525206 | + | 0.525206i | ||||
\(419\) | −3.11323e12 | + | 6.46469e12i | −0.241069 | + | 0.500585i | −0.986039 | − | 0.166513i | \(-0.946749\pi\) |
0.744970 | + | 0.667097i | \(0.232464\pi\) | |||||||
\(420\) | −1.11455e11 | − | 9.89191e11i | −0.00852812 | − | 0.0756892i | ||||
\(421\) | −3.51666e12 | + | 3.96232e11i | −0.265901 | + | 0.0299598i | −0.243908 | − | 0.969798i | \(-0.578430\pi\) |
−0.0219924 | + | 0.999758i | \(0.507001\pi\) | |||||||
\(422\) | 1.64094e13 | + | 7.90233e12i | 1.22611 | + | 0.590464i | ||||
\(423\) | 1.41421e13 | − | 1.41421e13i | 1.04427 | − | 1.04427i | ||||
\(424\) | −6.06184e11 | − | 1.73237e12i | −0.0442359 | − | 0.126419i | ||||
\(425\) | 2.64375e13 | + | 4.20751e13i | 1.90667 | + | 3.03445i | ||||
\(426\) | 1.88600e13 | − | 9.08251e12i | 1.34429 | − | 0.647378i | ||||
\(427\) | 9.25231e11 | − | 2.64416e12i | 0.0651794 | − | 0.186272i | ||||
\(428\) | −1.36620e12 | + | 3.11827e11i | −0.0951255 | + | 0.0217118i | ||||
\(429\) | 5.37773e12 | − | 6.74346e12i | 0.370094 | − | 0.464084i | ||||
\(430\) | −5.39631e12 | − | 6.76675e12i | −0.367075 | − | 0.460297i | ||||
\(431\) | 3.94098e11 | − | 1.72665e12i | 0.0264983 | − | 0.116096i | −0.959949 | − | 0.280174i | \(-0.909608\pi\) |
0.986447 | + | 0.164078i | \(0.0524648\pi\) | |||||||
\(432\) | −5.56494e12 | + | 8.85655e12i | −0.369863 | + | 0.588634i | ||||
\(433\) | −6.09408e11 | + | 5.40864e12i | −0.0400376 | + | 0.355344i | 0.957681 | + | 0.287832i | \(0.0929346\pi\) |
−0.997718 | + | 0.0675117i | \(0.978494\pi\) | |||||||
\(434\) | − | 2.65235e12i | − | 0.172259i | ||||||
\(435\) | −2.82276e13 | − | 3.10869e13i | −1.81229 | − | 1.99586i | ||||
\(436\) | 2.86305e12 | 0.181718 | ||||||||
\(437\) | 2.17632e12 | + | 2.45212e11i | 0.136557 | + | 0.0153863i | ||||
\(438\) | −6.54474e12 | − | 4.11233e12i | −0.405996 | − | 0.255104i | ||||
\(439\) | −1.38058e13 | − | 3.15108e12i | −0.846717 | − | 0.193258i | −0.222913 | − | 0.974838i | \(-0.571557\pi\) |
−0.623804 | + | 0.781581i | \(0.714414\pi\) | |||||||
\(440\) | 1.69013e13 | − | 1.34783e13i | 1.02484 | − | 0.817284i | ||||
\(441\) | 1.76729e13 | + | 1.40937e13i | 1.05953 | + | 0.844949i | ||||
\(442\) | 3.27255e12 | + | 1.43380e13i | 0.193988 | + | 0.849917i | ||||
\(443\) | −6.95321e12 | − | 2.43303e12i | −0.407537 | − | 0.142603i | 0.118723 | − | 0.992927i | \(-0.462120\pi\) |
−0.526259 | + | 0.850324i | \(0.676406\pi\) | |||||||
\(444\) | −2.61986e12 | − | 5.44019e12i | −0.151832 | − | 0.315282i | ||||
\(445\) | 3.16856e12 | − | 1.99094e12i | 0.181578 | − | 0.114093i | ||||
\(446\) | −2.51217e13 | + | 8.79046e12i | −1.42356 | + | 0.498124i | ||||
\(447\) | −2.94967e13 | − | 2.94967e13i | −1.65286 | − | 1.65286i | ||||
\(448\) | −1.01373e12 | + | 2.10502e12i | −0.0561734 | + | 0.116645i | ||||
\(449\) | 3.62273e12 | + | 3.21526e13i | 0.198520 | + | 1.76191i | 0.559019 | + | 0.829155i | \(0.311178\pi\) |
−0.360499 | + | 0.932760i | \(0.617393\pi\) | |||||||
\(450\) | 5.62813e13 | − | 6.34138e12i | 3.05001 | − | 0.343654i | ||||
\(451\) | 2.36324e13 | + | 1.13808e13i | 1.26656 | + | 0.609943i | ||||
\(452\) | 1.46746e12 | − | 1.46746e12i | 0.0777809 | − | 0.0777809i | ||||
\(453\) | −2.78921e12 | − | 7.97111e12i | −0.146214 | − | 0.417857i | ||||
\(454\) | −2.34656e12 | − | 3.73453e12i | −0.121661 | − | 0.193623i | ||||
\(455\) | 2.33425e12 | − | 1.12412e12i | 0.119699 | − | 0.0576441i | ||||
\(456\) | 7.41689e12 | − | 2.11962e13i | 0.376182 | − | 1.07507i | ||||
\(457\) | 2.21784e13 | − | 5.06207e12i | 1.11262 | − | 0.253949i | 0.373574 | − | 0.927600i | \(-0.378132\pi\) |
0.739050 | + | 0.673651i | \(0.235275\pi\) | |||||||
\(458\) | 8.18333e12 | − | 1.02616e13i | 0.406072 | − | 0.509198i | ||||
\(459\) | 1.36236e13 | + | 1.70835e13i | 0.668698 | + | 0.838521i | ||||
\(460\) | −2.27166e11 | + | 9.95281e11i | −0.0110295 | + | 0.0483233i | ||||
\(461\) | −1.86752e12 | + | 2.97213e12i | −0.0896932 | + | 0.142746i | −0.888557 | − | 0.458766i | \(-0.848292\pi\) |
0.798864 | + | 0.601512i | \(0.205435\pi\) | |||||||
\(462\) | −5.50032e11 | + | 4.88166e12i | −0.0261323 | + | 0.231931i | ||||
\(463\) | − | 2.95218e13i | − | 1.38751i | −0.720209 | − | 0.693757i | \(-0.755954\pi\) | ||
0.720209 | − | 0.693757i | \(-0.244046\pi\) | |||||||
\(464\) | −4.30199e12 | − | 2.41578e13i | −0.200023 | − | 1.12323i | ||||
\(465\) | 5.60677e13 | 2.57898 | ||||||||
\(466\) | −1.42394e12 | − | 1.60439e11i | −0.0647978 | − | 0.00730096i | ||||
\(467\) | 2.07487e13 | + | 1.30373e13i | 0.934127 | + | 0.586951i | 0.910832 | − | 0.412778i | \(-0.135441\pi\) |
0.0232952 | + | 0.999729i | \(0.492584\pi\) | |||||||
\(468\) | 2.37085e12 | + | 5.41131e11i | 0.105603 | + | 0.0241031i | ||||
\(469\) | 5.54441e12 | − | 4.42152e12i | 0.244338 | − | 0.194853i | ||||
\(470\) | −3.58024e13 | − | 2.85515e13i | −1.56107 | − | 1.24491i | ||||
\(471\) | 4.41865e12 | + | 1.93594e13i | 0.190627 | + | 0.835193i | ||||
\(472\) | 3.07529e12 | + | 1.07609e12i | 0.131273 | + | 0.0459344i | ||||
\(473\) | 2.68859e12 | + | 5.58291e12i | 0.113558 | + | 0.235806i | ||||
\(474\) | −4.55015e13 | + | 2.85905e13i | −1.90167 | + | 1.19490i | ||||
\(475\) | −3.80958e13 | + | 1.33303e13i | −1.57546 | + | 0.551279i | ||||
\(476\) | −8.59278e11 | − | 8.59278e11i | −0.0351641 | − | 0.0351641i | ||||
\(477\) | −2.22738e12 | + | 4.62521e12i | −0.0901993 | + | 0.187301i | ||||
\(478\) | −2.09320e12 | − | 1.85777e13i | −0.0838825 | − | 0.744478i | ||||
\(479\) | 1.14175e13 | − | 1.28644e12i | 0.452785 | − | 0.0510166i | 0.117372 | − | 0.993088i | \(-0.462553\pi\) |
0.335412 | + | 0.942071i | \(0.391124\pi\) | |||||||
\(480\) | 2.07897e13 | + | 1.00118e13i | 0.815908 | + | 0.392921i | ||||
\(481\) | 1.11124e13 | − | 1.11124e13i | 0.431601 | − | 0.431601i | ||||
\(482\) | 1.31553e13 | + | 3.75956e13i | 0.505666 | + | 1.44511i | ||||
\(483\) | 6.03921e11 | + | 9.61135e11i | 0.0229744 | + | 0.0365636i | ||||
\(484\) | −1.21083e12 | + | 5.83105e11i | −0.0455886 | + | 0.0219543i | ||||
\(485\) | −1.94418e13 | + | 5.55614e13i | −0.724481 | + | 2.07045i | ||||
\(486\) | −3.73715e13 | + | 8.52980e12i | −1.37835 | + | 0.314599i | ||||
\(487\) | −1.74295e13 | + | 2.18560e13i | −0.636269 | + | 0.797857i | −0.990531 | − | 0.137290i | \(-0.956161\pi\) |
0.354261 | + | 0.935146i | \(0.384732\pi\) | |||||||
\(488\) | 1.83667e13 | + | 2.30311e13i | 0.663638 | + | 0.832176i | ||||
\(489\) | 5.81604e12 | − | 2.54817e13i | 0.208009 | − | 0.911348i | ||||
\(490\) | 2.75361e13 | − | 4.38234e13i | 0.974814 | − | 1.55141i | ||||
\(491\) | −4.58155e11 | + | 4.06624e12i | −0.0160548 | + | 0.142490i | −0.999182 | − | 0.0404311i | \(-0.987127\pi\) |
0.983128 | + | 0.182922i | \(0.0585554\pi\) | |||||||
\(492\) | 1.27012e13i | 0.440573i | ||||||||
\(493\) | −5.06023e13 | − | 8.18528e12i | −1.73754 | − | 0.281060i | ||||
\(494\) | −1.19451e13 | −0.406027 | ||||||||
\(495\) | −6.00850e13 | − | 6.76996e12i | −2.02181 | − | 0.227803i | ||||
\(496\) | 2.77423e13 | + | 1.74316e13i | 0.924132 | + | 0.580671i | ||||
\(497\) | −4.38892e12 | − | 1.00174e12i | −0.144736 | − | 0.0330350i | ||||
\(498\) | −2.68176e13 | + | 2.13863e13i | −0.875534 | + | 0.698215i | ||||
\(499\) | 2.94001e12 | + | 2.34458e12i | 0.0950267 | + | 0.0757813i | 0.669851 | − | 0.742496i | \(-0.266358\pi\) |
−0.574824 | + | 0.818277i | \(0.694930\pi\) | |||||||
\(500\) | −2.13029e12 | − | 9.33341e12i | −0.0681693 | − | 0.298669i | ||||
\(501\) | −8.38063e13 | − | 2.93251e13i | −2.65514 | − | 0.929075i | ||||
\(502\) | 2.77880e13 | + | 5.77025e13i | 0.871644 | + | 1.80999i | ||||
\(503\) | 5.22494e13 | − | 3.28304e13i | 1.62271 | − | 1.01962i | 0.659192 | − | 0.751975i | \(-0.270899\pi\) |
0.963519 | − | 0.267641i | \(-0.0862443\pi\) | |||||||
\(504\) | 6.39671e12 | − | 2.23831e12i | 0.196700 | − | 0.0688282i | ||||
\(505\) | −1.24470e13 | − | 1.24470e13i | −0.378974 | − | 0.378974i | ||||
\(506\) | 2.18592e12 | − | 4.53911e12i | 0.0658994 | − | 0.136841i | ||||
\(507\) | −4.58613e12 | − | 4.07030e13i | −0.136901 | − | 1.21503i | ||||
\(508\) | −2.53973e12 | + | 2.86159e11i | −0.0750705 | + | 0.00845842i | ||||
\(509\) | 1.09046e13 | + | 5.25137e12i | 0.319169 | + | 0.153703i | 0.586608 | − | 0.809871i | \(-0.300463\pi\) |
−0.267439 | + | 0.963575i | \(0.586177\pi\) | |||||||
\(510\) | 1.25204e14 | − | 1.25204e14i | 3.62885 | − | 3.62885i | ||||
\(511\) | 5.49014e11 | + | 1.56899e12i | 0.0157572 | + | 0.0450315i | ||||
\(512\) | −1.20042e13 | − | 1.91046e13i | −0.341180 | − | 0.542985i | ||||
\(513\) | −1.59900e13 | + | 7.70039e12i | −0.450051 | + | 0.216733i | ||||
\(514\) | 7.60680e12 | − | 2.17390e13i | 0.212025 | − | 0.605932i | ||||
\(515\) | 5.37986e12 | − | 1.22792e12i | 0.148503 | − | 0.0338948i | ||||
\(516\) | −1.87079e12 | + | 2.34590e12i | −0.0511419 | + | 0.0641299i | ||||
\(517\) | 2.04415e13 | + | 2.56328e13i | 0.553426 | + | 0.693974i | ||||
\(518\) | −1.99174e12 | + | 8.72637e12i | −0.0534051 | + | 0.233983i | ||||
\(519\) | −2.35035e13 | + | 3.74056e13i | −0.624160 | + | 0.993346i | ||||
\(520\) | −3.05036e12 | + | 2.70727e13i | −0.0802295 | + | 0.712057i | ||||
\(521\) | − | 3.85329e13i | − | 1.00379i | −0.864928 | − | 0.501896i | \(-0.832636\pi\) | ||
0.864928 | − | 0.501896i | \(-0.167364\pi\) | |||||||
\(522\) | −3.34299e13 | + | 4.79158e13i | −0.862547 | + | 1.23631i | ||||
\(523\) | 2.39693e13 | 0.612557 | 0.306279 | − | 0.951942i | \(-0.400916\pi\) | ||||
0.306279 | + | 0.951942i | \(0.400916\pi\) | |||||||
\(524\) | −4.00600e12 | − | 4.51368e11i | −0.101404 | − | 0.0114255i | ||||
\(525\) | −1.77126e13 | − | 1.11295e13i | −0.444104 | − | 0.279049i | ||||
\(526\) | 1.85229e13 | + | 4.22774e12i | 0.460024 | + | 0.104998i | ||||
\(527\) | 5.35125e13 | − | 4.26748e13i | 1.31644 | − | 1.04983i | ||||
\(528\) | −4.74449e13 | − | 3.78360e13i | −1.15617 | − | 0.922011i | ||||
\(529\) | 8.95923e12 | + | 3.92529e13i | 0.216268 | + | 0.947532i | ||||
\(530\) | 1.10946e13 | + | 3.88216e12i | 0.265296 | + | 0.0928311i | ||||
\(531\) | −3.95403e12 | − | 8.21062e12i | −0.0936628 | − | 0.194493i | ||||
\(532\) | 8.35730e11 | − | 5.25124e11i | 0.0196114 | − | 0.0123226i | ||||
\(533\) | −3.12019e13 | + | 1.09180e13i | −0.725345 | + | 0.253809i | ||||
\(534\) | −6.32322e12 | − | 6.32322e12i | −0.145624 | − | 0.145624i | ||||
\(535\) | −1.90526e13 | + | 3.95631e13i | −0.434696 | + | 0.902655i | ||||
\(536\) | 8.34939e12 | + | 7.41029e13i | 0.188726 | + | 1.67499i | ||||
\(537\) | −1.34489e13 | + | 1.51533e12i | −0.301172 | + | 0.0339340i | ||||
\(538\) | 2.18235e13 | + | 1.05097e13i | 0.484188 | + | 0.233172i | ||||
\(539\) | −2.62019e13 | + | 2.62019e13i | −0.575956 | + | 0.575956i | ||||
\(540\) | −2.73232e12 | − | 7.80852e12i | −0.0595063 | − | 0.170059i | ||||
\(541\) | 3.33056e13 | + | 5.30055e13i | 0.718672 | + | 1.14376i | 0.983752 | + | 0.179534i | \(0.0574588\pi\) |
−0.265080 | + | 0.964226i | \(0.585398\pi\) | |||||||
\(542\) | −2.46620e13 | + | 1.18766e13i | −0.527268 | + | 0.253919i | ||||
\(543\) | −1.92407e13 | + | 5.49868e13i | −0.407588 | + | 1.16482i | ||||
\(544\) | 2.74625e13 | − | 6.26813e12i | 0.576428 | − | 0.131566i | ||||
\(545\) | 5.59367e13 | − | 7.01424e13i | 1.16336 | − | 1.45881i | ||||
\(546\) | −3.86012e12 | − | 4.84043e12i | −0.0795495 | − | 0.0997519i | ||||
\(547\) | 1.83318e11 | − | 8.03168e11i | 0.00374342 | − | 0.0164010i | −0.973022 | − | 0.230714i | \(-0.925894\pi\) |
0.976765 | + | 0.214313i | \(0.0687511\pi\) | |||||||
\(548\) | 7.65177e12 | − | 1.21777e13i | 0.154831 | − | 0.246413i | ||||
\(549\) | 9.22529e12 | − | 8.18767e13i | 0.184977 | − | 1.64172i | ||||
\(550\) | 9.28447e13i | 1.84478i | ||||||||
\(551\) | 1.56273e13 | − | 3.85905e13i | 0.307698 | − | 0.759839i | ||||
\(552\) | −1.19364e13 | −0.232905 | ||||||||
\(553\) | 1.14841e13 | + | 1.29395e12i | 0.222061 | + | 0.0250202i | ||||
\(554\) | −1.89869e13 | − | 1.19302e13i | −0.363835 | − | 0.228613i | ||||
\(555\) | −1.84465e14 | − | 4.21030e13i | −3.50308 | − | 0.799555i | ||||
\(556\) | −1.28490e13 | + | 1.02467e13i | −0.241822 | + | 0.192847i | ||||
\(557\) | −6.13060e13 | − | 4.88899e13i | −1.14348 | − | 0.911891i | −0.146470 | − | 0.989215i | \(-0.546791\pi\) |
−0.997006 | + | 0.0773238i | \(0.975362\pi\) | |||||||
\(558\) | −1.73593e13 | − | 7.60562e13i | −0.320894 | − | 1.40593i | ||||
\(559\) | −7.37111e12 | − | 2.57926e12i | −0.135044 | − | 0.0472538i | ||||
\(560\) | −7.90894e12 | − | 1.64231e13i | −0.143608 | − | 0.298205i | ||||
\(561\) | −1.07340e14 | + | 6.74459e13i | −1.93173 | + | 1.21378i | ||||
\(562\) | −3.10146e13 | + | 1.08525e13i | −0.553203 | + | 0.193574i | ||||
\(563\) | 2.18825e13 | + | 2.18825e13i | 0.386861 | + | 0.386861i | 0.873566 | − | 0.486705i | \(-0.161801\pi\) |
−0.486705 | + | 0.873566i | \(0.661801\pi\) | |||||||
\(564\) | −6.88813e12 | + | 1.43034e13i | −0.120700 | + | 0.250635i | ||||
\(565\) | −7.28113e12 | − | 6.46218e13i | −0.126461 | − | 1.12237i | ||||
\(566\) | −2.14310e13 | + | 2.41470e12i | −0.368944 | + | 0.0415700i | ||||
\(567\) | 3.96522e12 | + | 1.90955e12i | 0.0676630 | + | 0.0325848i | ||||
\(568\) | 3.34736e13 | − | 3.34736e13i | 0.566188 | − | 0.566188i | ||||
\(569\) | 2.60451e13 | + | 7.44325e13i | 0.436681 | + | 1.24796i | 0.926552 | + | 0.376167i | \(0.122758\pi\) |
−0.489871 | + | 0.871795i | \(0.662956\pi\) | |||||||
\(570\) | 7.65151e13 | + | 1.21773e14i | 1.27167 | + | 2.02384i | ||||
\(571\) | 3.98500e13 | − | 1.91907e13i | 0.656519 | − | 0.316163i | −0.0758014 | − | 0.997123i | \(-0.524152\pi\) |
0.732321 | + | 0.680960i | \(0.238437\pi\) | |||||||
\(572\) | −1.31664e12 | + | 3.76273e12i | −0.0215024 | + | 0.0614502i | ||||
\(573\) | 1.12942e14 | − | 2.57784e13i | 1.82845 | − | 0.417333i | ||||
\(574\) | 1.17390e13 | − | 1.47202e13i | 0.188395 | − | 0.236240i | ||||
\(575\) | 1.33759e13 | + | 1.67728e13i | 0.212805 | + | 0.266850i | ||||
\(576\) | −1.52915e13 | + | 6.69963e13i | −0.241177 | + | 1.05667i | ||||
\(577\) | 8.87079e12 | − | 1.41178e13i | 0.138702 | − | 0.220743i | −0.770149 | − | 0.637864i | \(-0.779818\pi\) |
0.908851 | + | 0.417121i | \(0.136961\pi\) | |||||||
\(578\) | 1.63897e13 | − | 1.45463e14i | 0.254057 | − | 2.25482i | ||||
\(579\) | 1.33235e14i | 2.04751i | ||||||||
\(580\) | 1.70596e13 | + | 9.25266e12i | 0.259914 | + | 0.140970i | ||||
\(581\) | 7.37665e12 | 0.111424 | ||||||||
\(582\) | 1.39781e14 | + | 1.57495e13i | 2.09331 | + | 0.235859i | ||||
\(583\) | −7.12554e12 | − | 4.47727e12i | −0.105797 | − | 0.0664769i | ||||
\(584\) | −1.70415e13 | − | 3.88961e12i | −0.250867 | − | 0.0572587i | ||||
\(585\) | 5.95775e13 | − | 4.75115e13i | 0.869567 | − | 0.693457i | ||||
\(586\) | −5.87033e13 | − | 4.68143e13i | −0.849521 | − | 0.677471i | ||||
\(587\) | −1.01177e13 | − | 4.43284e13i | −0.145174 | − | 0.636050i | −0.994186 | − | 0.107676i | \(-0.965659\pi\) |
0.849012 | − | 0.528374i | \(-0.177198\pi\) | |||||||
\(588\) | −1.69360e13 | − | 5.92617e12i | −0.240949 | − | 0.0843116i | ||||
\(589\) | 2.41207e13 | + | 5.00872e13i | 0.340262 | + | 0.706562i | ||||
\(590\) | −1.76676e13 | + | 1.11013e13i | −0.247126 | + | 0.155279i | ||||
\(591\) | 1.14344e14 | − | 4.00107e13i | 1.58590 | − | 0.554930i | ||||
\(592\) | −7.81835e13 | − | 7.81835e13i | −1.07524 | − | 1.07524i | ||||
\(593\) | 5.71373e12 | − | 1.18647e13i | 0.0779195 | − | 0.161801i | −0.858370 | − | 0.513032i | \(-0.828522\pi\) |
0.936289 | + | 0.351230i | \(0.114237\pi\) | |||||||
\(594\) | 4.57108e12 | + | 4.05694e13i | 0.0618139 | + | 0.548614i | ||||
\(595\) | −3.78397e13 | + | 4.26351e12i | −0.507414 | + | 0.0571719i | ||||
\(596\) | 1.73705e13 | + | 8.36521e12i | 0.230984 | + | 0.111236i | ||||
\(597\) | −1.39736e14 | + | 1.39736e14i | −1.84263 | + | 1.84263i | ||||
\(598\) | 2.09703e12 | + | 5.99298e12i | 0.0274220 | + | 0.0783676i | ||||
\(599\) | 1.83329e13 | + | 2.91767e13i | 0.237738 | + | 0.378357i | 0.944189 | − | 0.329404i | \(-0.106848\pi\) |
−0.706451 | + | 0.707762i | \(0.749705\pi\) | |||||||
\(600\) | 1.98190e14 | − | 9.54432e13i | 2.54874 | − | 1.22741i | ||||
\(601\) | 1.89501e13 | − | 5.41563e13i | 0.241679 | − | 0.690680i | −0.757600 | − | 0.652719i | \(-0.773628\pi\) |
0.999279 | − | 0.0379605i | \(-0.0120861\pi\) | |||||||
\(602\) | 4.33636e12 | − | 9.89745e11i | 0.0548457 | − | 0.0125182i | ||||
\(603\) | 1.30048e14 | − | 1.63075e14i | 1.63123 | − | 2.04550i | ||||
\(604\) | 2.43358e12 | + | 3.05161e12i | 0.0302734 | + | 0.0379616i | ||||
\(605\) | −9.37092e12 | + | 4.10567e13i | −0.115613 | + | 0.506532i | ||||
\(606\) | −2.23796e13 | + | 3.56169e13i | −0.273835 | + | 0.435806i | ||||
\(607\) | 7.10420e12 | − | 6.30515e13i | 0.0862127 | − | 0.765159i | −0.874007 | − | 0.485913i | \(-0.838487\pi\) |
0.960220 | − | 0.279246i | \(-0.0900844\pi\) | |||||||
\(608\) | 2.28793e13i | 0.275375i | ||||||||
\(609\) | 2.06878e13 | − | 6.13816e12i | 0.246960 | − | 0.0732743i | ||||
\(610\) | −1.88656e14 | −2.23368 | ||||||||
\(611\) | −4.10589e13 | − | 4.62623e12i | −0.482171 | − | 0.0543277i | ||||
\(612\) | −3.02637e13 | − | 1.90159e13i | −0.352505 | − | 0.221493i | ||||
\(613\) | 3.32212e13 | + | 7.58251e12i | 0.383807 | + | 0.0876014i | 0.410071 | − | 0.912054i | \(-0.365504\pi\) |
−0.0262642 | + | 0.999655i | \(0.508361\pi\) | |||||||
\(614\) | 5.36119e13 | − | 4.27541e13i | 0.614355 | − | 0.489932i | ||||
\(615\) | 3.11168e14 | + | 2.48148e14i | 3.53687 | + | 2.82056i | ||||
\(616\) | 2.47208e12 | + | 1.08309e13i | 0.0278714 | + | 0.122113i | ||||
\(617\) | −4.63609e13 | − | 1.62224e13i | −0.518473 | − | 0.181422i | 0.0583416 | − | 0.998297i | \(-0.481419\pi\) |
−0.576815 | + | 0.816875i | \(0.695704\pi\) | |||||||
\(618\) | −5.72143e12 | − | 1.18807e13i | −0.0634691 | − | 0.131795i | ||||
\(619\) | 5.40533e13 | − | 3.39640e13i | 0.594798 | − | 0.373736i | −0.200736 | − | 0.979645i | \(-0.564333\pi\) |
0.795534 | + | 0.605909i | \(0.207191\pi\) | |||||||
\(620\) | −2.44595e13 | + | 8.55873e12i | −0.266986 | + | 0.0934224i | ||||
\(621\) | 6.67050e12 | + | 6.67050e12i | 0.0722271 | + | 0.0722271i | ||||
\(622\) | 2.13468e13 | − | 4.43271e13i | 0.229288 | − | 0.476121i | ||||
\(623\) | 2.15321e11 | + | 1.91102e12i | 0.00229427 | + | 0.0203623i | ||||
\(624\) | 7.59978e13 | − | 8.56289e12i | 0.803300 | − | 0.0905102i | ||||
\(625\) | −9.53348e13 | − | 4.59108e13i | −0.999658 | − | 0.481410i | ||||
\(626\) | −9.91447e12 | + | 9.91447e12i | −0.103133 | + | 0.103133i | ||||
\(627\) | −3.40075e13 | − | 9.71877e13i | −0.350943 | − | 1.00294i | ||||
\(628\) | −4.88284e12 | − | 7.77099e12i | −0.0499889 | − | 0.0795570i | ||||
\(629\) | −2.08104e14 | + | 1.00218e14i | −2.11363 | + | 1.01787i | ||||
\(630\) | −1.43347e13 | + | 4.09662e13i | −0.144439 | + | 0.412784i | ||||
\(631\) | −7.84239e13 | + | 1.78997e13i | −0.783974 | + | 0.178937i | −0.595729 | − | 0.803185i | \(-0.703137\pi\) |
−0.188244 | + | 0.982122i | \(0.560280\pi\) | |||||||
\(632\) | −7.57702e13 | + | 9.50128e13i | −0.751472 | + | 0.942316i | ||||
\(633\) | −1.23361e14 | − | 1.54690e14i | −1.21383 | − | 1.52210i | ||||
\(634\) | −1.04755e13 | + | 4.58963e13i | −0.102266 | + | 0.448055i | ||||
\(635\) | −4.26092e13 | + | 6.78121e13i | −0.412700 | + | 0.656808i | ||||
\(636\) | 4.56248e11 | − | 4.04931e12i | 0.00438445 | − | 0.0389131i | ||||
\(637\) | − | 4.66994e13i | − | 0.445261i | ||||||
\(638\) | −7.19179e13 | − | 6.32510e13i | −0.680352 | − | 0.598362i | ||||
\(639\) | −1.32408e14 | −1.24283 | ||||||||
\(640\) | 2.18806e14 | + | 2.46535e13i | 2.03779 | + | 0.229604i | ||||
\(641\) | 1.22770e14 | + | 7.71414e13i | 1.13449 | + | 0.712849i | 0.962240 | − | 0.272204i | \(-0.0877524\pi\) |
0.172253 | + | 0.985053i | \(0.444895\pi\) | |||||||
\(642\) | 1.02303e14 | + | 2.33499e13i | 0.938018 | + | 0.214096i | ||||
\(643\) | 5.43153e13 | − | 4.33150e13i | 0.494160 | − | 0.394080i | −0.344456 | − | 0.938802i | \(-0.611937\pi\) |
0.838616 | + | 0.544723i | \(0.183365\pi\) | |||||||
\(644\) | −4.10177e11 | − | 3.27105e11i | −0.00370290 | − | 0.00295296i | ||||
\(645\) | 2.09221e13 | + | 9.16656e13i | 0.187416 | + | 0.821122i | ||||
\(646\) | 1.65713e14 | + | 5.79855e13i | 1.47297 | + | 0.515415i | ||||
\(647\) | −3.69319e13 | − | 7.66899e13i | −0.325747 | − | 0.676421i | 0.672206 | − | 0.740364i | \(-0.265347\pi\) |
−0.997954 | + | 0.0639429i | \(0.979632\pi\) | |||||||
\(648\) | −3.91860e13 | + | 2.46222e13i | −0.342970 | + | 0.215502i | ||||
\(649\) | 1.41006e13 | − | 4.93402e12i | 0.122466 | − | 0.0428526i | ||||
\(650\) | −8.27382e13 | − | 8.27382e13i | −0.713082 | − | 0.713082i | ||||
\(651\) | −1.25018e13 | + | 2.59602e13i | −0.106922 | + | 0.222026i | ||||
\(652\) | 1.35255e12 | + | 1.20042e13i | 0.0114793 | + | 0.101881i | ||||
\(653\) | 2.83936e13 | − | 3.19919e12i | 0.239141 | − | 0.0269447i | 0.00841947 | − | 0.999965i | \(-0.497320\pi\) |
0.230721 | + | 0.973020i | \(0.425891\pi\) | |||||||
\(654\) | −1.93157e14 | − | 9.30194e13i | −1.61444 | − | 0.777472i | ||||
\(655\) | −8.93251e13 | + | 8.93251e13i | −0.740913 | + | 0.740913i | ||||
\(656\) | 7.68157e13 | + | 2.19527e14i | 0.632311 | + | 1.80704i | ||||
\(657\) | 2.60119e13 | + | 4.13976e13i | 0.212493 | + | 0.338181i | ||||
\(658\) | 2.12029e13 | − | 1.02108e13i | 0.171896 | − | 0.0827806i | ||||
\(659\) | 2.43832e13 | − | 6.96833e13i | 0.196184 | − | 0.560663i | −0.803201 | − | 0.595708i | \(-0.796872\pi\) |
0.999386 | + | 0.0350450i | \(0.0111575\pi\) | |||||||
\(660\) | 4.67926e13 | − | 1.06801e13i | 0.373643 | − | 0.0852817i | ||||
\(661\) | −1.40582e14 | + | 1.76285e14i | −1.11410 | + | 1.39704i | −0.205862 | + | 0.978581i | \(0.566000\pi\) |
−0.908237 | + | 0.418455i | \(0.862572\pi\) | |||||||
\(662\) | −1.61715e14 | − | 2.02785e14i | −1.27192 | − | 1.59494i | ||||
\(663\) | 3.55511e13 | − | 1.55759e14i | 0.277514 | − | 1.21587i | ||||
\(664\) | −4.12695e13 | + | 6.56800e13i | −0.319734 | + | 0.508854i | ||||
\(665\) | 3.46292e12 | − | 3.07342e13i | 0.0266277 | − | 0.236328i | ||||
\(666\) | 2.63264e14i | 2.00919i | ||||||||
\(667\) | −2.21047e13 | − | 1.06557e12i | −0.167438 | − | 0.00807148i | ||||
\(668\) | 4.10368e13 | 0.308526 | ||||||||
\(669\) | 2.87315e14 | + | 3.23726e13i | 2.14401 | + | 0.241572i | ||||
\(670\) | −4.04376e14 | − | 2.54086e14i | −2.99510 | − | 1.88195i | ||||
\(671\) | 1.31682e14 | + | 3.00555e13i | 0.968085 | + | 0.220959i | ||||
\(672\) | −9.27120e12 | + | 7.39354e12i | −0.0676534 | + | 0.0539518i | ||||
\(673\) | −7.09276e13 | − | 5.65629e13i | −0.513736 | − | 0.409691i | 0.332011 | − | 0.943276i | \(-0.392273\pi\) |
−0.845746 | + | 0.533585i | \(0.820844\pi\) | |||||||
\(674\) | −7.76901e12 | − | 3.40382e13i | −0.0558555 | − | 0.244719i | ||||
\(675\) | −1.64092e14 | − | 5.74184e13i | −1.17103 | − | 0.409762i | ||||
\(676\) | 8.21400e12 | + | 1.70565e13i | 0.0581863 | + | 0.120825i | ||||
\(677\) | −1.07542e14 | + | 6.75733e13i | −0.756198 | + | 0.475151i | −0.854141 | − | 0.520041i | \(-0.825917\pi\) |
0.0979428 | + | 0.995192i | \(0.468774\pi\) | |||||||
\(678\) | −1.46680e14 | + | 5.13254e13i | −1.02381 | + | 0.358248i | ||||
\(679\) | −2.13907e13 | − | 2.13907e13i | −0.148209 | − | 0.148209i | ||||
\(680\) | 1.73737e14 | − | 3.60769e14i | 1.19495 | − | 2.48133i | ||||
\(681\) | 5.36464e12 | + | 4.76125e13i | 0.0366273 | + | 0.325076i | ||||
\(682\) | 1.27080e14 | − | 1.43185e13i | 0.861301 | − | 0.0970453i | ||||
\(683\) | −2.99983e13 | − | 1.44464e13i | −0.201833 | − | 0.0971978i | 0.330237 | − | 0.943898i | \(-0.392871\pi\) |
−0.532070 | + | 0.846700i | \(0.678586\pi\) | |||||||
\(684\) | 2.05277e13 | − | 2.05277e13i | 0.137107 | − | 0.137107i | ||||
\(685\) | −1.48848e14 | − | 4.25383e14i | −0.986939 | − | 2.82051i | ||||
\(686\) | 2.87055e13 | + | 4.56845e13i | 0.188949 | + | 0.300710i | ||||
\(687\) | −1.28463e14 | + | 6.18644e13i | −0.839448 | + | 0.404257i | ||||
\(688\) | −1.81469e13 | + | 5.18609e13i | −0.117723 | + | 0.336432i | ||||
\(689\) | 1.03398e13 | − | 2.35999e12i | 0.0665910 | − | 0.0151990i | ||||
\(690\) | 4.76621e13 | − | 5.97664e13i | 0.304739 | − | 0.382130i | ||||
\(691\) | −1.29540e14 | − | 1.62438e14i | −0.822268 | − | 1.03109i | −0.998904 | − | 0.0468152i | \(-0.985093\pi\) |
0.176636 | − | 0.984276i | \(-0.443479\pi\) | |||||||
\(692\) | 4.54341e12 | − | 1.99060e13i | 0.0286320 | − | 0.125445i | ||||
\(693\) | 1.65321e13 | − | 2.63107e13i | 0.103434 | − | 0.164614i | ||||
\(694\) | −2.69698e13 | + | 2.39364e14i | −0.167525 | + | 1.48683i | ||||
\(695\) | 5.14985e14i | 3.17593i | ||||||||
\(696\) | −6.10873e13 | + | 2.18540e14i | −0.374028 | + | 1.33809i | ||||
\(697\) | 4.85860e14 | 2.95357 | ||||||||
\(698\) | −1.41463e14 | − | 1.59391e13i | −0.853819 | − | 0.0962023i | ||||
\(699\) | 1.31807e13 | + | 8.28198e12i | 0.0789864 | + | 0.0496305i | ||||
\(700\) | 9.42600e12 | + | 2.15142e12i | 0.0560838 | + | 0.0128008i | ||||
\(701\) | 3.39958e13 | − | 2.71108e13i | 0.200833 | − | 0.160159i | −0.517909 | − | 0.855436i | \(-0.673290\pi\) |
0.718742 | + | 0.695277i | \(0.244718\pi\) | |||||||
\(702\) | −4.02268e13 | − | 3.20798e13i | −0.235955 | − | 0.188168i | ||||
\(703\) | −4.17463e13 | − | 1.82902e14i | −0.243131 | − | 1.06523i | ||||
\(704\) | −1.06329e14 | − | 3.72060e13i | −0.614875 | − | 0.215154i | ||||
\(705\) | 2.15844e14 | + | 4.48204e14i | 1.23935 | + | 2.57354i | ||||
\(706\) | −2.06152e14 | + | 1.29534e14i | −1.17534 | + | 0.738516i | ||||
\(707\) | 8.53856e12 | − | 2.98777e12i | 0.0483379 | − | 0.0169142i | ||||
\(708\) | 5.11505e12 | + | 5.11505e12i | 0.0287530 | + | 0.0287530i | ||||
\(709\) | 2.73395e13 | − | 5.67711e13i | 0.152602 | − | 0.316881i | −0.810627 | − | 0.585562i | \(-0.800874\pi\) |
0.963229 | + | 0.268682i | \(0.0865880\pi\) | |||||||
\(710\) | 3.39442e13 | + | 3.01263e14i | 0.188137 | + | 1.66976i | ||||
\(711\) | 3.37776e14 | − | 3.80582e13i | 1.85900 | − | 0.209459i | ||||
\(712\) | −1.82200e13 | − | 8.77427e12i | −0.0995744 | − | 0.0479525i | ||||
\(713\) | 2.08947e13 | − | 2.08947e13i | 0.113394 | − | 0.113394i | ||||
\(714\) | 3.00539e13 | + | 8.58891e13i | 0.161961 | + | 0.462857i | ||||
\(715\) | 6.64601e13 | + | 1.05771e14i | 0.355656 | + | 0.566024i | ||||
\(716\) | 5.63574e12 | − | 2.71403e12i | 0.0299493 | − | 0.0144228i | ||||
\(717\) | −6.70777e13 | + | 1.91697e14i | −0.353983 | + | 1.01163i | ||||
\(718\) | 7.61308e13 | − | 1.73763e13i | 0.398968 | − | 0.0910618i | ||||
\(719\) | 8.36735e13 | − | 1.04923e14i | 0.435455 | − | 0.546044i | −0.514884 | − | 0.857260i | \(-0.672165\pi\) |
0.950339 | + | 0.311216i | \(0.100736\pi\) | |||||||
\(720\) | −3.34276e14 | − | 4.19169e14i | −1.72760 | − | 2.16634i | ||||
\(721\) | −6.31036e11 | + | 2.76475e12i | −0.00323876 | + | 0.0141899i | ||||
\(722\) | 3.70245e13 | − | 5.89241e13i | 0.188713 | − | 0.300336i | ||||
\(723\) | 4.84468e13 | − | 4.29977e14i | 0.245230 | − | 2.17648i | ||||
\(724\) | − | 2.69250e13i | − | 0.135351i | ||||||
\(725\) | 3.75541e14 | − | 1.59055e14i | 1.87485 | − | 0.794069i | ||||
\(726\) | 1.00634e14 | 0.498955 | ||||||||
\(727\) | 1.32253e14 | + | 1.49013e13i | 0.651226 | + | 0.0733756i | 0.431396 | − | 0.902163i | \(-0.358021\pi\) |
0.219830 | + | 0.975538i | \(0.429450\pi\) | |||||||
\(728\) | −1.18549e13 | − | 7.44893e12i | −0.0579750 | − | 0.0364281i | ||||
\(729\) | 3.15441e14 | + | 7.19973e13i | 1.53207 | + | 0.349686i | ||||
\(730\) | 8.75219e13 | − | 6.97964e13i | 0.422185 | − | 0.336681i | ||||
\(731\) | 8.97380e13 | + | 7.15636e13i | 0.429922 | + | 0.342851i | ||||
\(732\) | 1.45536e13 | + | 6.37634e13i | 0.0692491 | + | 0.303400i | ||||
\(733\) | −3.59298e14 | − | 1.25724e14i | −1.69799 | − | 0.594152i | −0.704668 | − | 0.709538i | \(-0.748904\pi\) |
−0.993321 | + | 0.115386i | \(0.963190\pi\) | |||||||
\(734\) | 2.06130e13 | + | 4.28033e13i | 0.0967521 | + | 0.200908i | ||||
\(735\) | −4.76072e14 | + | 2.99136e14i | −2.21940 | + | 1.39454i | ||||
\(736\) | 1.14787e13 | − | 4.01659e12i | 0.0531503 | − | 0.0185981i | ||||
\(737\) | 2.41775e14 | + | 2.41775e14i | 1.11192 | + | 1.11192i | ||||
\(738\) | 2.40273e14 | − | 4.98931e14i | 1.09755 | − | 2.27908i | ||||
\(739\) | −3.96921e12 | − | 3.52277e13i | −0.0180087 | − | 0.159831i | 0.981489 | − | 0.191517i | \(-0.0613409\pi\) |
−0.999498 | + | 0.0316862i | \(0.989912\pi\) | |||||||
\(740\) | 8.68998e13 | − | 9.79125e12i | 0.391616 | − | 0.0441245i | ||||
\(741\) | 1.16914e14 | + | 5.63028e13i | 0.523330 | + | 0.252022i | ||||
\(742\) | −4.27132e12 | + | 4.27132e12i | −0.0189908 | + | 0.0189908i | ||||
\(743\) | −1.04629e14 | − | 2.99012e14i | −0.462070 | − | 1.32052i | −0.905551 | − | 0.424237i | \(-0.860542\pi\) |
0.443481 | − | 0.896284i | \(-0.353743\pi\) | |||||||
\(744\) | −1.61201e14 | − | 2.56550e14i | −0.707137 | − | 1.12540i | ||||
\(745\) | 5.44316e14 | − | 2.62129e14i | 2.37176 | − | 1.14218i | ||||
\(746\) | 7.60650e13 | − | 2.17381e14i | 0.329223 | − | 0.940866i | ||||
\(747\) | 2.11525e14 | − | 4.82793e13i | 0.909410 | − | 0.207567i | ||||
\(748\) | 3.65311e13 | − | 4.58086e13i | 0.156011 | − | 0.195631i | ||||
\(749\) | −1.40700e13 | − | 1.76433e13i | −0.0596879 | − | 0.0748463i | ||||
\(750\) | −1.59518e14 | + | 6.98893e14i | −0.672207 | + | 2.94513i | ||||
\(751\) | −1.53657e14 | + | 2.44543e14i | −0.643208 | + | 1.02366i | 0.352912 | + | 0.935657i | \(0.385192\pi\) |
−0.996120 | + | 0.0880035i | \(0.971951\pi\) | |||||||
\(752\) | −3.25487e13 | + | 2.88878e14i | −0.135346 | + | 1.20123i | ||||
\(753\) | − | 6.95747e14i | − | 2.87393i | ||||||
\(754\) | 1.20455e14 | − | 7.72346e12i | 0.494275 | − | 0.0316924i | ||||
\(755\) | 1.22308e14 | 0.498562 | ||||||||
\(756\) | 4.22470e12 | + | 4.76010e11i | 0.0171075 | + | 0.00192756i | ||||
\(757\) | −2.58005e14 | − | 1.62116e14i | −1.03789 | − | 0.652147i | −0.0985449 | − | 0.995133i | \(-0.531419\pi\) |
−0.939341 | + | 0.342986i | \(0.888562\pi\) | |||||||
\(758\) | 3.69027e14 | + | 8.42279e13i | 1.47473 | + | 0.336597i | ||||
\(759\) | −4.27898e13 | + | 3.41237e13i | −0.169876 | + | 0.135471i | ||||
\(760\) | 2.54277e14 | + | 2.02779e14i | 1.00286 | + | 0.799752i | ||||
\(761\) | 3.46931e13 | + | 1.52000e14i | 0.135931 | + | 0.595555i | 0.996305 | + | 0.0858900i | \(0.0273734\pi\) |
−0.860373 | + | 0.509665i | \(0.829770\pi\) | |||||||
\(762\) | 1.80641e14 | + | 6.32090e13i | 0.703140 | + | 0.246039i | ||||
\(763\) | 2.00044e13 | + | 4.15396e13i | 0.0773577 | + | 0.160635i | ||||
\(764\) | −4.53359e13 | + | 2.84864e13i | −0.174171 | + | 0.109439i | ||||
\(765\) | −1.05715e15 | + | 3.69912e14i | −4.03486 | + | 1.41186i | ||||
\(766\) | −7.75669e13 | − | 7.75669e13i | −0.294126 | − | 0.294126i | ||||
\(767\) | −8.16878e12 | + | 1.69626e13i | −0.0307737 | + | 0.0639023i | ||||
\(768\) | −2.29224e13 | − | 2.03442e14i | −0.0857936 | − | 0.761439i | ||||
\(769\) | −5.04766e14 | + | 5.68735e13i | −1.87697 | + | 0.211484i | −0.975293 | − | 0.220916i | \(-0.929095\pi\) |
−0.901682 | + | 0.432400i | \(0.857667\pi\) | |||||||
\(770\) | −6.41019e13 | − | 3.08698e13i | −0.236819 | − | 0.114046i | ||||
\(771\) | −1.76918e14 | + | 1.76918e14i | −0.649383 | + | 0.649383i | ||||
\(772\) | −2.03383e13 | − | 5.81236e13i | −0.0741700 | − | 0.211966i | ||||
\(773\) | −1.39485e14 | − | 2.21989e14i | −0.505393 | − | 0.804329i | 0.492425 | − | 0.870355i | \(-0.336111\pi\) |
−0.997818 | + | 0.0660263i | \(0.978968\pi\) | |||||||
\(774\) | 1.17867e14 | − | 5.67619e13i | 0.424315 | − | 0.204339i | ||||
\(775\) | −1.79858e14 | + | 5.14004e14i | −0.643310 | + | 1.83848i | ||||
\(776\) | 3.10131e14 | − | 7.07853e13i | 1.10214 | − | 0.251556i | ||||
\(777\) | 6.06257e13 | − | 7.60223e13i | 0.214068 | − | 0.268433i | ||||
\(778\) | 1.69761e14 | + | 2.12874e14i | 0.595581 | + | 0.746835i | ||||
\(779\) | −8.78126e13 | + | 3.84732e14i | −0.306104 | + | 1.34113i | ||||
\(780\) | −3.21815e13 | + | 5.12165e13i | −0.111464 | + | 0.177393i | ||||
\(781\) | 2.43024e13 | − | 2.15690e14i | 0.0836363 | − | 0.742292i | ||||
\(782\) | − | 9.33196e13i | − | 0.319109i | ||||||
\(783\) | 1.56265e14 | − | 8.79900e13i | 0.530950 | − | 0.298968i | ||||
\(784\) | −3.28563e14 | −1.10927 | ||||||||
\(785\) | −2.85781e14 | − | 3.21998e13i | −0.958704 | − | 0.108020i | ||||
\(786\) | 2.55601e14 | + | 1.60605e14i | 0.852021 | + | 0.535361i | ||||
\(787\) | 6.20970e13 | + | 1.41732e13i | 0.205682 | + | 0.0469456i | 0.324121 | − | 0.946016i | \(-0.394932\pi\) |
−0.118438 | + | 0.992961i | \(0.537789\pi\) | |||||||
\(788\) | −4.37747e13 | + | 3.49092e13i | −0.144076 | + | 0.114897i | ||||
\(789\) | −1.61368e14 | − | 1.28687e14i | −0.527755 | − | 0.420870i | ||||
\(790\) | −1.73184e14 | − | 7.58770e14i | −0.562825 | − | 2.46590i | ||||
\(791\) | 3.15444e13 | + | 1.10379e13i | 0.101868 | + | 0.0356453i | ||||
\(792\) | 1.41774e14 | + | 2.94397e14i | 0.454957 | + | 0.944728i | ||||
\(793\) | −1.44132e14 | + | 9.05639e13i | −0.459614 | + | 0.288795i | ||||
\(794\) | 8.92946e13 | − | 3.12455e13i | 0.282958 | − | 0.0990114i | ||||
\(795\) | −9.02908e13 | − | 9.02908e13i | −0.284320 | − | 0.284320i | ||||
\(796\) | 3.96290e13 | − | 8.22904e13i | 0.124007 | − | 0.257504i | ||||
\(797\) | 5.05238e12 | + | 4.48411e13i | 0.0157110 | + | 0.139439i | 0.999119 | − | 0.0419690i | \(-0.0133631\pi\) |
−0.983408 | + | 0.181408i | \(0.941935\pi\) | |||||||
\(798\) | −7.34438e13 | + | 8.27513e12i | −0.226956 | + | 0.0255717i | ||||
\(799\) | 5.47148e14 | + | 2.63493e14i | 1.68024 | + | 0.809161i | ||||
\(800\) | −1.58474e14 | + | 1.58474e14i | −0.483624 | + | 0.483624i | ||||
\(801\) | 1.86817e13 | + | 5.33894e13i | 0.0566572 | + | 0.161917i | ||||
\(802\) | −1.19808e14 | − | 1.90674e14i | −0.361090 | − | 0.574672i | ||||
\(803\) | −7.22100e13 | + | 3.47745e13i | −0.216282 | + | 0.104156i | ||||
\(804\) | −5.46831e13 | + | 1.56275e14i | −0.162770 | + | 0.465169i | ||||
\(805\) | −1.60276e13 | + | 3.65820e12i | −0.0474121 | + | 0.0108215i | ||||
\(806\) | −1.00487e14 | + | 1.26007e14i | −0.295416 | + | 0.370440i | ||||
\(807\) | −1.64063e14 | − | 2.05729e14i | −0.479340 | − | 0.601073i | ||||
\(808\) | −2.11675e13 | + | 9.27409e13i | −0.0614628 | + | 0.269286i | ||||
\(809\) | −2.70327e14 | + | 4.30222e14i | −0.780093 | + | 1.24151i | 0.185805 | + | 0.982587i | \(0.440511\pi\) |
−0.965898 | + | 0.258924i | \(0.916632\pi\) | |||||||
\(810\) | 3.31847e13 | − | 2.94523e14i | 0.0951729 | − | 0.844683i | ||||
\(811\) | 4.61751e12i | 0.0131614i | 0.999978 | + | 0.00658072i | \(0.00209472\pi\) | ||||
−0.999978 | + | 0.00658072i | \(0.997905\pi\) | |||||||
\(812\) | −8.08801e12 | + | 5.83575e12i | −0.0229119 | + | 0.0165316i | ||||
\(813\) | 2.97362e14 | 0.837206 | ||||||||
\(814\) | −4.28851e14 | − | 4.83199e13i | −1.20001 | − | 0.135208i | ||||
\(815\) | 3.20517e14 | + | 2.01394e14i | 0.891381 | + | 0.560092i | ||||
\(816\) | −1.09588e15 | − | 2.50126e14i | −3.02908 | − | 0.691367i | ||||
\(817\) | −7.28872e13 | + | 5.81256e13i | −0.200235 | + | 0.159682i | ||||
\(818\) | 4.13966e14 | + | 3.30127e14i | 1.13031 | + | 0.901394i | ||||
\(819\) | 8.71416e12 | + | 3.81792e13i | 0.0236486 | + | 0.103611i | ||||
\(820\) | −1.73626e14 | − | 6.07545e13i | −0.468324 | − | 0.163874i | ||||
\(821\) | −2.63239e14 | − | 5.46622e14i | −0.705724 | − | 1.46545i | −0.877131 | − | 0.480251i | \(-0.840546\pi\) |
0.171407 | − | 0.985200i | \(-0.445169\pi\) | |||||||
\(822\) | −9.11878e14 | + | 5.72971e14i | −2.42984 | + | 1.52677i | ||||
\(823\) | −1.19376e14 | + | 4.17715e13i | −0.316168 | + | 0.110632i | −0.483698 | − | 0.875235i | \(-0.660707\pi\) |
0.167530 | + | 0.985867i | \(0.446421\pi\) | |||||||
\(824\) | −2.10863e13 | − | 2.10863e13i | −0.0555092 | − | 0.0555092i | ||||
\(825\) | 4.37620e14 | − | 9.08728e14i | 1.14506 | − | 2.37774i | ||||
\(826\) | −1.20061e12 | − | 1.06557e13i | −0.00312249 | − | 0.0277129i | ||||
\(827\) | 1.87017e14 | − | 2.10717e13i | 0.483451 | − | 0.0544719i | 0.133124 | − | 0.991099i | \(-0.457499\pi\) |
0.350327 | + | 0.936627i | \(0.386070\pi\) | |||||||
\(828\) | −1.39027e13 | − | 6.69518e12i | −0.0357229 | − | 0.0172033i | ||||
\(829\) | 2.64721e14 | − | 2.64721e14i | 0.676109 | − | 0.676109i | −0.283009 | − | 0.959117i | \(-0.591333\pi\) |
0.959117 | + | 0.283009i | \(0.0913325\pi\) | |||||||
\(830\) | −1.64075e14 | − | 4.68898e14i | −0.416534 | − | 1.19039i | ||||
\(831\) | 1.29603e14 | + | 2.06262e14i | 0.327047 | + | 0.520493i | ||||
\(832\) | 1.27910e14 | − | 6.15984e13i | 0.320840 | − | 0.154509i | ||||
\(833\) | −2.26695e14 | + | 6.47856e14i | −0.565218 | + | 1.61530i | ||||
\(834\) | 1.19977e15 | − | 2.73841e14i | 2.97351 | − | 0.678684i | ||||
\(835\) | 8.01754e14 | − | 1.00537e15i | 1.97519 | − | 2.47681i | ||||
\(836\) | 2.96714e13 | + | 3.72068e13i | 0.0726619 | + | 0.0911151i | ||||
\(837\) | −5.32844e13 | + | 2.33454e14i | −0.129710 | + | 0.568295i | ||||
\(838\) | −1.32118e14 | + | 2.10265e14i | −0.319699 | + | 0.508799i | ||||
\(839\) | −2.42886e13 | + | 2.15567e14i | −0.0584242 | + | 0.518529i | 0.930082 | + | 0.367351i | \(0.119735\pi\) |
−0.988507 | + | 0.151178i | \(0.951693\pi\) | |||||||
\(840\) | 1.68568e14i | 0.403068i | ||||||||
\(841\) | −1.32634e14 | + | 3.99253e14i | −0.315265 | + | 0.949004i | ||||
\(842\) | −1.22477e14 | −0.289398 | ||||||||
\(843\) | 3.54711e14 | + | 3.99663e13i | 0.833176 | + | 0.0938764i | ||||
\(844\) | 7.74295e13 | + | 4.86522e13i | 0.180798 | + | 0.113603i | ||||
\(845\) | 5.78351e14 | + | 1.32005e14i | 1.34248 | + | 0.306413i | ||||
\(846\) | 5.41164e14 | − | 4.31564e14i | 1.24875 | − | 0.995848i | ||||
\(847\) | −1.69204e13 | − | 1.34935e13i | −0.0388144 | − | 0.0309534i | ||||
\(848\) | −1.66042e13 | − | 7.27476e13i | −0.0378650 | − | 0.165897i | ||||
\(849\) | 2.21140e14 | + | 7.73802e13i | 0.501336 | + | 0.175425i | ||||
\(850\) | 7.46179e14 | + | 1.54946e15i | 1.68170 | + | 3.49208i | ||||
\(851\) | −8.44351e13 | + | 5.30541e13i | −0.189180 | + | 0.118870i | ||||
\(852\) | 9.92049e13 | − | 3.47133e13i | 0.220971 | − | 0.0773210i | ||||
\(853\) | −2.60514e14 | − | 2.60514e14i | −0.576880 | − | 0.576880i | 0.357162 | − | 0.934042i | \(-0.383744\pi\) |
−0.934042 | + | 0.357162i | \(0.883744\pi\) | |||||||
\(854\) | 4.20657e13 | − | 8.73504e13i | 0.0926060 | − | 0.192298i | ||||
\(855\) | −1.01853e14 | − | 9.03969e14i | −0.222917 | − | 1.97844i | ||||
\(856\) | 2.35808e14 | − | 2.65692e13i | 0.513086 | − | 0.0578109i | ||||
\(857\) | −3.50018e14 | − | 1.68560e14i | −0.757157 | − | 0.364627i | 0.0151434 | − | 0.999885i | \(-0.495180\pi\) |
−0.772300 | + | 0.635258i | \(0.780894\pi\) | |||||||
\(858\) | 2.11077e14 | − | 2.11077e14i | 0.453946 | − | 0.453946i | ||||
\(859\) | −1.25432e14 | − | 3.58465e14i | −0.268190 | − | 0.766444i | −0.996682 | − | 0.0813896i | \(-0.974064\pi\) |
0.728492 | − | 0.685054i | \(-0.240222\pi\) | |||||||
\(860\) | −2.31200e13 | − | 3.67952e13i | −0.0491468 | − | 0.0782167i | ||||
\(861\) | −1.84279e14 | + | 8.87442e13i | −0.389458 | + | 0.187553i | ||||
\(862\) | 2.02442e13 | − | 5.78545e13i | 0.0425367 | − | 0.121563i | ||||
\(863\) | 8.65038e14 | − | 1.97439e14i | 1.80710 | − | 0.412458i | 0.819970 | − | 0.572406i | \(-0.193990\pi\) |
0.987125 | + | 0.159948i | \(0.0511328\pi\) | |||||||
\(864\) | −6.14445e13 | + | 7.70490e13i | −0.127619 | + | 0.160029i | ||||
\(865\) | −3.98913e14 | − | 5.00221e14i | −0.823754 | − | 1.03295i | ||||
\(866\) | −4.19165e13 | + | 1.83648e14i | −0.0860588 | + | 0.377048i | ||||
\(867\) | −8.46049e14 | + | 1.34648e15i | −1.72703 | + | 2.74855i | ||||
\(868\) | 1.49106e12 | − | 1.32335e13i | 0.00302618 | − | 0.0268581i | ||||
\(869\) | 5.57213e14i | 1.12440i | ||||||||
\(870\) | −8.50319e14 | − | 1.17849e15i | −1.70603 | − | 2.36446i | ||||
\(871\) | −4.30914e14 | −0.859607 | ||||||||
\(872\) | −4.81776e14 | − | 5.42832e13i | −0.955571 | − | 0.107667i | ||||
\(873\) | −7.53378e14 | − | 4.73378e14i | −1.48574 | − | 0.933549i | ||||
\(874\) | 7.38959e13 | + | 1.68663e13i | 0.144898 | + | 0.0330721i | ||||
\(875\) | 1.20532e14 | − | 9.61214e13i | 0.234998 | − | 0.187404i | ||||
\(876\) | −3.03421e13 | − | 2.41970e13i | −0.0588200 | − | 0.0469074i | ||||
\(877\) | 6.33373e13 | + | 2.77499e14i | 0.122085 | + | 0.534889i | 0.998570 | + | 0.0534597i | \(0.0170249\pi\) |
−0.876485 | + | 0.481429i | \(0.840118\pi\) | |||||||
\(878\) | −4.62586e14 | − | 1.61866e14i | −0.886585 | − | 0.310229i | ||||
\(879\) | 3.53907e14 | + | 7.34896e14i | 0.674442 | + | 1.40049i | ||||
\(880\) | 7.44169e14 | − | 4.67593e14i | 1.41013 | − | 0.886042i | ||||
\(881\) | −5.94130e14 | + | 2.07895e14i | −1.11944 | + | 0.391710i | −0.825663 | − | 0.564163i | \(-0.809199\pi\) |
−0.293779 | + | 0.955873i | \(0.594913\pi\) | |||||||
\(882\) | 5.53179e14 | + | 5.53179e14i | 1.03639 | + | 1.03639i | ||||
\(883\) | −2.29485e14 | + | 4.76531e14i | −0.427515 | + | 0.887743i | 0.570285 | + | 0.821447i | \(0.306833\pi\) |
−0.997800 | + | 0.0662966i | \(0.978882\pi\) | |||||||
\(884\) | 8.26757e12 | + | 7.33767e13i | 0.0153150 | + | 0.135924i | ||||
\(885\) | 2.25249e14 | − | 2.53795e13i | 0.414904 | − | 0.0467484i | ||||
\(886\) | −2.29701e14 | − | 1.10618e14i | −0.420721 | − | 0.202609i | ||||
\(887\) | 6.03401e14 | − | 6.03401e14i | 1.09898 | − | 1.09898i | 0.104445 | − | 0.994531i | \(-0.466693\pi\) |
0.994531 | − | 0.104445i | \(-0.0333066\pi\) | |||||||
\(888\) | 3.37708e14 | + | 9.65113e14i | 0.611612 | + | 1.74789i | ||||
\(889\) | −2.18972e13 | − | 3.48492e13i | −0.0394348 | − | 0.0627601i | ||||
\(890\) | 1.16685e14 | − | 5.61927e13i | 0.208962 | − | 0.100631i | ||||
\(891\) | −7.00846e13 | + | 2.00290e14i | −0.124806 | + | 0.356674i | ||||
\(892\) | −1.30282e14 | + | 2.97361e13i | −0.230707 | + | 0.0526574i | ||||
\(893\) | −3.07539e14 | + | 3.85641e14i | −0.541555 | + | 0.679088i | ||||
\(894\) | −9.00127e14 | − | 1.12872e15i | −1.57622 | − | 1.97651i | ||||
\(895\) | 4.36164e13 | − | 1.91096e14i | 0.0759513 | − | 0.332764i | ||||
\(896\) | −6.02034e13 | + | 9.58132e13i | −0.104251 | + | 0.165915i | ||||
\(897\) | 7.72274e12 | − | 6.85412e13i | 0.0132987 | − | 0.118029i | ||||
\(898\) | 1.11980e15i | 1.91761i | ||||||||
\(899\) | −2.75620e14 | − | 4.89487e14i | −0.469367 | − | 0.833570i | ||||
\(900\) | 2.84371e14 | 0.481585 | ||||||||
\(901\) | −1.54899e14 | − | 1.74529e13i | −0.260870 | − | 0.0293930i | ||||
\(902\) | 7.68647e14 | + | 4.82973e14i | 1.28734 | + | 0.808891i | ||||
\(903\) | −4.71077e13 | − | 1.07520e13i | −0.0784608 | − | 0.0179082i | ||||
\(904\) | −2.74757e14 | + | 2.19112e14i | −0.455100 | + | 0.362930i | ||||
\(905\) | −6.59639e14 | − | 5.26045e14i | −1.08658 | − | 0.866523i | ||||
\(906\) | −6.50365e13 | − | 2.84944e14i | −0.106541 | − | 0.466786i | ||||
\(907\) | 8.63045e14 | + | 3.01993e14i | 1.40604 | + | 0.491994i | 0.923404 | − | 0.383829i | \(-0.125395\pi\) |
0.482633 | + | 0.875822i | \(0.339680\pi\) | |||||||
\(908\) | −9.60836e12 | − | 1.99520e13i | −0.0155675 | − | 0.0323263i | ||||
\(909\) | 2.25289e14 | − | 1.41558e14i | 0.363011 | − | 0.228095i | ||||
\(910\) | 8.46336e13 | − | 2.96146e13i | 0.135624 | − | 0.0474568i | ||||
\(911\) | −1.58659e14 | − | 1.58659e14i | −0.252856 | − | 0.252856i | 0.569284 | − | 0.822141i | \(-0.307220\pi\) |
−0.822141 | + | 0.569284i | \(0.807220\pi\) | |||||||
\(912\) | 3.96129e14 | − | 8.22571e14i | 0.627860 | − | 1.30376i | ||||
\(913\) | 3.98221e13 | + | 3.53431e14i | 0.0627726 | + | 0.557122i | ||||
\(914\) | 7.82355e14 | − | 8.81502e13i | 1.22652 | − | 0.138195i | ||||
\(915\) | 1.84649e15 | + | 8.89222e14i | 2.87900 | + | 1.38645i | ||||
\(916\) | 4.65981e13 | − | 4.65981e13i | 0.0722588 | − | 0.0722588i | ||||
\(917\) | −2.14415e13 | − | 6.12762e13i | −0.0330680 | − | 0.0945029i | ||||
\(918\) | 4.02335e14 | + | 6.40313e14i | 0.617127 | + | 0.982153i | ||||
\(919\) | −3.98160e14 | + | 1.91744e14i | −0.607407 | + | 0.292512i | −0.712194 | − | 0.701983i | \(-0.752298\pi\) |
0.104787 | + | 0.994495i | \(0.466584\pi\) | |||||||
\(920\) | 5.70965e13 | − | 1.63172e14i | 0.0866304 | − | 0.247575i | ||||
\(921\) | −7.26252e14 | + | 1.65762e14i | −1.09595 | + | 0.250143i | ||||
\(922\) | −7.57429e13 | + | 9.49786e13i | −0.113681 | + | 0.142551i | ||||
\(923\) | 1.70554e14 | + | 2.13868e14i | 0.254598 | + | 0.319255i | ||||
\(924\) | −5.48859e12 | + | 2.40471e13i | −0.00814893 | + | 0.0357028i | ||||
\(925\) | 9.77722e14 | − | 1.55604e15i | 1.44380 | − | 2.29779i | ||||
\(926\) | 1.14395e14 | − | 1.01529e15i | 0.168017 | − | 1.49119i | ||||
\(927\) | 8.34093e13i | 0.121847i | ||||||||
\(928\) | −1.47933e13 | − | 2.30716e14i | −0.0214943 | − | 0.335226i | ||||
\(929\) | −5.40920e14 | −0.781726 | −0.390863 | − | 0.920449i | \(-0.627823\pi\) | ||||
−0.390863 | + | 0.920449i | \(0.627823\pi\) | |||||||
\(930\) | 1.92823e15 | + | 2.17260e14i | 2.77169 | + | 0.312295i | ||||
\(931\) | −4.72038e14 | − | 2.96601e14i | −0.674883 | − | 0.424057i | ||||
\(932\) | −7.01430e12 | − | 1.60097e12i | −0.00997481 | − | 0.00227669i | ||||
\(933\) | −4.17868e14 | + | 3.33239e14i | −0.591059 | + | 0.471354i | ||||
\(934\) | 6.63052e14 | + | 5.28767e14i | 0.932853 | + | 0.743926i | ||||
\(935\) | −4.08547e14 | − | 1.78996e15i | −0.571721 | − | 2.50487i | ||||
\(936\) | −3.88692e14 | − | 1.36009e14i | −0.541036 | − | 0.189317i | ||||
\(937\) | −1.25449e14 | − | 2.60497e14i | −0.173688 | − | 0.360666i | 0.795893 | − | 0.605437i | \(-0.207002\pi\) |
−0.969581 | + | 0.244771i | \(0.921287\pi\) | |||||||
\(938\) | 2.07812e14 | − | 1.30577e14i | 0.286191 | − | 0.179826i | ||||
\(939\) | 1.43770e14 | − | 5.03074e13i | 0.196943 | − | 0.0689135i | ||||
\(940\) | −1.62580e14 | − | 1.62580e14i | −0.221527 | − | 0.221527i | ||||
\(941\) | −1.46290e14 | + | 3.03775e14i | −0.198275 | + | 0.411721i | −0.976273 | − | 0.216545i | \(-0.930521\pi\) |
0.777998 | + | 0.628267i | \(0.216235\pi\) | |||||||
\(942\) | 7.69459e13 | + | 6.82914e14i | 0.103736 | + | 0.920685i | ||||
\(943\) | 2.08440e14 | − | 2.34855e13i | 0.279526 | − | 0.0314950i | ||||
\(944\) | 1.19344e14 | + | 5.74730e13i | 0.159199 | + | 0.0766662i | ||||
\(945\) | 9.42017e13 | − | 9.42017e13i | 0.124997 | − | 0.124997i | ||||
\(946\) | 7.08302e13 | + | 2.02421e14i | 0.0934894 | + | 0.267177i | ||||
\(947\) | −3.35957e14 | − | 5.34672e14i | −0.441097 | − | 0.702001i | 0.549997 | − | 0.835166i | \(-0.314629\pi\) |
−0.991094 | + | 0.133165i | \(0.957486\pi\) | |||||||
\(948\) | −2.43095e14 | + | 1.17068e14i | −0.317493 | + | 0.152897i | ||||
\(949\) | 3.33605e13 | − | 9.53388e13i | 0.0433412 | − | 0.123862i | ||||
\(950\) | −1.36181e15 | + | 3.10825e14i | −1.75994 | + | 0.401696i | ||||
\(951\) | 3.18861e14 | − | 3.99839e14i | 0.409919 | − | 0.514023i | ||||
\(952\) | 1.28302e14 | + | 1.60886e14i | 0.164077 | + | 0.205747i | ||||
\(953\) | 9.65544e13 | − | 4.23033e14i | 0.122831 | − | 0.538157i | −0.875644 | − | 0.482957i | \(-0.839563\pi\) |
0.998475 | − | 0.0552010i | \(-0.0175799\pi\) | |||||||
\(954\) | −9.45248e13 | + | 1.50435e14i | −0.119620 | + | 0.190374i | ||||
\(955\) | −1.87853e14 | + | 1.66724e15i | −0.236484 | + | 2.09885i | ||||
\(956\) | − | 9.38670e13i | − | 0.117550i | ||||||
\(957\) | 4.05773e14 | + | 9.58058e14i | 0.505502 | + | 1.19353i | ||||
\(958\) | 3.97644e14 | 0.492796 | ||||||||
\(959\) | 2.30148e14 | + | 2.59315e13i | 0.283736 | + | 0.0319694i | ||||
\(960\) | −1.44730e15 | − | 9.09396e14i | −1.77501 | − | 1.11531i | ||||
\(961\) | −6.78057e13 | − | 1.54762e13i | −0.0827274 | − | 0.0188820i | ||||
\(962\) | 4.25229e14 | − | 3.39109e14i | 0.516116 | − | 0.411589i | ||||
\(963\) | −5.18932e14 | − | 4.13834e14i | −0.626583 | − | 0.499684i | ||||
\(964\) | 4.45012e13 | + | 1.94972e14i | 0.0534547 | + | 0.234200i | ||||
\(965\) | −1.82134e15 | − | 6.37313e14i | −2.17647 | − | 0.761581i | ||||
\(966\) | 1.70452e13 | + | 3.53947e13i | 0.0202636 | + | 0.0420778i | ||||
\(967\) | −9.61492e14 | + | 6.04146e14i | −1.13714 | + | 0.714512i | −0.962811 | − | 0.270176i | \(-0.912918\pi\) |
−0.174328 | + | 0.984688i | \(0.555775\pi\) | |||||||
\(968\) | 2.14806e14 | − | 7.51640e13i | 0.252738 | − | 0.0884368i | ||||
\(969\) | −1.34862e15 | − | 1.34862e15i | −1.57860 | − | 1.57860i | ||||
\(970\) | −8.83923e14 | + | 1.83548e15i | −1.02933 | + | 2.13743i | ||||
\(971\) | 7.84531e13 | + | 6.96291e14i | 0.0908896 | + | 0.806668i | 0.953622 | + | 0.301007i | \(0.0973227\pi\) |
−0.862732 | + | 0.505661i | \(0.831249\pi\) | |||||||
\(972\) | −1.91254e14 | + | 2.15492e13i | −0.220435 | + | 0.0248370i | ||||
\(973\) | −2.38446e14 | − | 1.14829e14i | −0.273417 | − | 0.131671i | ||||
\(974\) | −6.84113e14 | + | 6.84113e14i | −0.780428 | + | 0.780428i | ||||
\(975\) | 4.19825e14 | + | 1.19979e15i | 0.476481 | + | 1.36170i | ||||
\(976\) | 6.37180e14 | + | 1.01407e15i | 0.719470 | + | 1.14503i | ||||
\(977\) | 7.01502e14 | − | 3.37825e14i | 0.788054 | − | 0.379507i | 0.00383620 | − | 0.999993i | \(-0.498779\pi\) |
0.784218 | + | 0.620486i | \(0.213065\pi\) | |||||||
\(978\) | 2.98761e14 | − | 8.53809e14i | 0.333910 | − | 0.954259i | ||||
\(979\) | −9.03988e13 | + | 2.06329e13i | −0.100519 | + | 0.0229429i | ||||
\(980\) | 1.62023e14 | − | 2.03170e14i | 0.179244 | − | 0.224765i | ||||
\(981\) | 8.45499e14 | + | 1.06022e15i | 0.930611 | + | 1.16695i | ||||
\(982\) | −3.15130e13 | + | 1.38067e14i | −0.0345090 | + | 0.151194i | ||||
\(983\) | 4.41663e14 | − | 7.02902e14i | 0.481197 | − | 0.765821i | −0.514598 | − | 0.857432i | \(-0.672059\pi\) |
0.995795 | + | 0.0916106i | \(0.0292015\pi\) | |||||||
\(984\) | 2.40813e14 | − | 2.13727e15i | 0.261038 | − | 2.31678i | ||||
\(985\) | 1.75448e15i | 1.89220i | ||||||||
\(986\) | −1.70855e15 | − | 4.77583e14i | −1.83334 | − | 0.512465i | ||||
\(987\) | −2.55653e14 | −0.272939 | ||||||||
\(988\) | −5.95982e13 | − | 6.71510e12i | −0.0633065 | − | 0.00713293i | ||||
\(989\) | 4.19580e13 | + | 2.63639e13i | 0.0443438 | + | 0.0278631i | ||||
\(990\) | −2.04016e15 | − | 4.65653e14i | −2.14530 | − | 0.489651i | ||||
\(991\) | 1.08443e15 | − | 8.64808e14i | 1.13458 | − | 0.904797i | 0.138250 | − | 0.990397i | \(-0.455852\pi\) |
0.996330 | + | 0.0855999i | \(0.0272807\pi\) | |||||||
\(992\) | 2.41349e14 | + | 1.92469e14i | 0.251239 | + | 0.200356i | ||||
\(993\) | 6.26988e14 | + | 2.74701e15i | 0.649401 | + | 2.84521i | ||||
\(994\) | −1.47058e14 | − | 5.14579e13i | −0.151551 | − | 0.0530298i | ||||
\(995\) | −1.24180e15 | − | 2.57862e15i | −1.27331 | − | 2.64406i | ||||
\(996\) | −1.45825e14 | + | 9.16277e13i | −0.148776 | + | 0.0934824i | ||||
\(997\) | −3.24340e14 | + | 1.13491e14i | −0.329249 | + | 0.115209i | −0.489841 | − | 0.871812i | \(-0.662945\pi\) |
0.160592 | + | 0.987021i | \(0.448660\pi\) | |||||||
\(998\) | 9.20252e13 | + | 9.20252e13i | 0.0929510 | + | 0.0929510i | ||||
\(999\) | 3.50616e14 | − | 7.28062e14i | 0.352374 | − | 0.731713i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 29.11.f.a.2.18 | ✓ | 288 | |
29.15 | odd | 28 | inner | 29.11.f.a.15.18 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.11.f.a.2.18 | ✓ | 288 | 1.1 | even | 1 | trivial | |
29.11.f.a.15.18 | yes | 288 | 29.15 | odd | 28 | inner |