Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,9,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), 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: | \(10.1844652515\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 25.2 |
Dual form | 25.9.f.a.13.8 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.69439 | − | 1.37706i | −0.543399 | − | 0.0860660i | −0.121301 | − | 0.992616i | \(-0.538706\pi\) |
−0.422099 | + | 0.906550i | \(0.638706\pi\) | |||||||
\(3\) | −50.1228 | − | 98.3716i | −0.618800 | − | 1.21446i | −0.961445 | − | 0.274999i | \(-0.911323\pi\) |
0.342644 | − | 0.939465i | \(-0.388677\pi\) | |||||||
\(4\) | −169.774 | − | 55.1630i | −0.663181 | − | 0.215481i | ||||
\(5\) | −621.648 | − | 64.6469i | −0.994636 | − | 0.103435i | ||||
\(6\) | 300.324 | + | 924.303i | 0.231732 | + | 0.713196i | ||||
\(7\) | −2315.10 | − | 2315.10i | −0.964222 | − | 0.964222i | 0.0351598 | − | 0.999382i | \(-0.488806\pi\) |
−0.999382 | + | 0.0351598i | \(0.988806\pi\) | |||||||
\(8\) | 3408.01 | + | 1736.47i | 0.832034 | + | 0.423943i | ||||
\(9\) | −3308.21 | + | 4553.36i | −0.504223 | + | 0.694004i | ||||
\(10\) | 5315.82 | + | 1418.11i | 0.531582 | + | 0.141811i | ||||
\(11\) | 21888.5 | − | 15902.9i | 1.49501 | − | 1.08619i | 0.522697 | − | 0.852519i | \(-0.324926\pi\) |
0.972316 | − | 0.233671i | \(-0.0750740\pi\) | |||||||
\(12\) | 3083.09 | + | 19465.9i | 0.148683 | + | 0.938749i | ||||
\(13\) | −34855.7 | + | 5520.59i | −1.22039 | + | 0.193291i | −0.733206 | − | 0.680006i | \(-0.761977\pi\) |
−0.487187 | + | 0.873298i | \(0.661977\pi\) | |||||||
\(14\) | 16940.3 | + | 23316.4i | 0.440971 | + | 0.606944i | ||||
\(15\) | 24799.3 | + | 64392.7i | 0.489863 | + | 1.27196i | ||||
\(16\) | 9731.82 | + | 7070.58i | 0.148496 | + | 0.107888i | ||||
\(17\) | −32046.6 | + | 62895.0i | −0.383695 | + | 0.753044i | −0.999389 | − | 0.0349413i | \(-0.988876\pi\) |
0.615694 | + | 0.787985i | \(0.288876\pi\) | |||||||
\(18\) | 35033.1 | − | 35033.1i | 0.333725 | − | 0.333725i | ||||
\(19\) | 36461.3 | − | 11847.0i | 0.279781 | − | 0.0909063i | −0.165765 | − | 0.986165i | \(-0.553009\pi\) |
0.445546 | + | 0.895259i | \(0.353009\pi\) | |||||||
\(20\) | 101974. | + | 45267.4i | 0.637336 | + | 0.282921i | ||||
\(21\) | −111701. | + | 343779.i | −0.574352 | + | 1.76767i | ||||
\(22\) | −212206. | + | 108124.i | −0.905873 | + | 0.461565i | ||||
\(23\) | 63645.0 | − | 401839.i | 0.227433 | − | 1.43595i | −0.564544 | − | 0.825403i | \(-0.690948\pi\) |
0.791977 | − | 0.610551i | \(-0.209052\pi\) | |||||||
\(24\) | − | 422288.i | − | 1.27281i | ||||||
\(25\) | 382267. | + | 80375.2i | 0.978602 | + | 0.205760i | ||||
\(26\) | 310651. | 0.679797 | ||||||||
\(27\) | −101711. | − | 16109.4i | −0.191387 | − | 0.0303128i | ||||
\(28\) | 265336. | + | 520752.i | 0.431683 | + | 0.847225i | ||||
\(29\) | −692890. | − | 225134.i | −0.979653 | − | 0.318309i | −0.224947 | − | 0.974371i | \(-0.572221\pi\) |
−0.754707 | + | 0.656062i | \(0.772221\pi\) | |||||||
\(30\) | −126942. | − | 594006.i | −0.156719 | − | 0.733340i | ||||
\(31\) | −11513.5 | − | 35434.9i | −0.0124669 | − | 0.0383693i | 0.944630 | − | 0.328139i | \(-0.106421\pi\) |
−0.957096 | + | 0.289769i | \(0.906421\pi\) | |||||||
\(32\) | −767257. | − | 767257.i | −0.731713 | − | 0.731713i | ||||
\(33\) | −2.66151e6 | − | 1.35611e6i | −2.24425 | − | 1.14350i | ||||
\(34\) | 365235. | − | 502703.i | 0.273311 | − | 0.376180i | ||||
\(35\) | 1.28951e6 | + | 1.58884e6i | 0.859316 | + | 1.05878i | ||||
\(36\) | 812826. | − | 590553.i | 0.483936 | − | 0.351600i | ||||
\(37\) | −43674.0 | − | 275747.i | −0.0233032 | − | 0.147131i | 0.973293 | − | 0.229565i | \(-0.0737305\pi\) |
−0.996596 | + | 0.0824345i | \(0.973730\pi\) | |||||||
\(38\) | −333323. | + | 52793.1i | −0.159857 | + | 0.0253188i | ||||
\(39\) | 2.29013e6 | + | 3.15210e6i | 0.989925 | + | 1.36252i | ||||
\(40\) | −2.00633e6 | − | 1.29979e6i | −0.783721 | − | 0.507730i | ||||
\(41\) | 2.06240e6 | + | 1.49842e6i | 0.729857 | + | 0.530272i | 0.889518 | − | 0.456900i | \(-0.151040\pi\) |
−0.159661 | + | 0.987172i | \(0.551040\pi\) | |||||||
\(42\) | 1.44457e6 | − | 2.83513e6i | 0.464239 | − | 0.911120i | ||||
\(43\) | 2.42753e6 | − | 2.42753e6i | 0.710054 | − | 0.710054i | −0.256492 | − | 0.966546i | \(-0.582567\pi\) |
0.966546 | + | 0.256492i | \(0.0825669\pi\) | |||||||
\(44\) | −4.59335e6 | + | 1.49247e6i | −1.22552 | + | 0.398195i | ||||
\(45\) | 2.35090e6 | − | 2.61672e6i | 0.573303 | − | 0.638127i | ||||
\(46\) | −1.10671e6 | + | 3.40610e6i | −0.247174 | + | 0.760723i | ||||
\(47\) | −4.42123e6 | + | 2.25273e6i | −0.906048 | + | 0.461655i | −0.843954 | − | 0.536416i | \(-0.819778\pi\) |
−0.0620945 | + | 0.998070i | \(0.519778\pi\) | |||||||
\(48\) | 207758. | − | 1.31173e6i | 0.0391374 | − | 0.247104i | ||||
\(49\) | 4.95455e6i | 0.859448i | ||||||||
\(50\) | −3.21289e6 | − | 1.22522e6i | −0.514063 | − | 0.196034i | ||||
\(51\) | 7.79334e6 | 1.15197 | ||||||||
\(52\) | 6.22213e6 | + | 985489.i | 0.850992 | + | 0.134784i | ||||
\(53\) | 4.64663e6 | + | 9.11953e6i | 0.588891 | + | 1.15576i | 0.972638 | + | 0.232325i | \(0.0746333\pi\) |
−0.383747 | + | 0.923438i | \(0.625367\pi\) | |||||||
\(54\) | 862132. | + | 280124.i | 0.101391 | + | 0.0329439i | ||||
\(55\) | −1.46350e7 | + | 8.47098e6i | −1.59934 | + | 0.925727i | ||||
\(56\) | −3.86978e6 | − | 1.19100e7i | −0.393491 | − | 1.21104i | ||||
\(57\) | −2.99295e6 | − | 2.99295e6i | −0.283531 | − | 0.283531i | ||||
\(58\) | 5.71423e6 | + | 2.91155e6i | 0.504947 | + | 0.257284i | ||||
\(59\) | −6.57948e6 | + | 9.05587e6i | −0.542979 | + | 0.747347i | −0.989039 | − | 0.147656i | \(-0.952827\pi\) |
0.446059 | + | 0.895003i | \(0.352827\pi\) | |||||||
\(60\) | −658189. | − | 1.23002e7i | −0.0507862 | − | 0.949093i | ||||
\(61\) | −4.27556e6 | + | 3.10638e6i | −0.308798 | + | 0.224355i | −0.731380 | − | 0.681970i | \(-0.761124\pi\) |
0.422583 | + | 0.906324i | \(0.361124\pi\) | |||||||
\(62\) | 51306.9 | + | 323939.i | 0.00347224 | + | 0.0219228i | ||||
\(63\) | 1.82003e7 | − | 2.88264e6i | 1.15536 | − | 0.182991i | ||||
\(64\) | 3.80421e6 | + | 5.23604e6i | 0.226748 | + | 0.312092i | ||||
\(65\) | 2.20248e7 | − | 1.17855e6i | 1.23384 | − | 0.0660231i | ||||
\(66\) | 2.12727e7 | + | 1.54555e7i | 1.12111 | + | 0.814533i | ||||
\(67\) | 2.17376e6 | − | 4.26625e6i | 0.107873 | − | 0.211713i | −0.830760 | − | 0.556631i | \(-0.812094\pi\) |
0.938633 | + | 0.344919i | \(0.112094\pi\) | |||||||
\(68\) | 8.91017e6 | − | 8.91017e6i | 0.416726 | − | 0.416726i | ||||
\(69\) | −4.27196e7 | + | 1.38804e7i | −1.88465 | + | 0.612360i | ||||
\(70\) | −9.02359e6 | − | 1.55897e7i | −0.375826 | − | 0.649301i | ||||
\(71\) | 5.37394e6 | − | 1.65393e7i | 0.211475 | − | 0.650854i | −0.787910 | − | 0.615791i | \(-0.788837\pi\) |
0.999385 | − | 0.0350633i | \(-0.0111633\pi\) | |||||||
\(72\) | −1.91812e7 | + | 9.77330e6i | −0.713749 | + | 0.363673i | ||||
\(73\) | 2.92221e6 | − | 1.84501e7i | 0.102901 | − | 0.649692i | −0.881289 | − | 0.472577i | \(-0.843324\pi\) |
0.984190 | − | 0.177115i | \(-0.0566763\pi\) | |||||||
\(74\) | 2.45759e6i | 0.0819564i | ||||||||
\(75\) | −1.12536e7 | − | 4.16328e7i | −0.355671 | − | 1.31580i | ||||
\(76\) | −6.84371e6 | −0.205134 | ||||||||
\(77\) | −8.74907e7 | − | 1.38572e7i | −2.48885 | − | 0.394195i | ||||
\(78\) | −1.55707e7 | − | 3.05592e7i | −0.420658 | − | 0.825589i | ||||
\(79\) | 4.85482e7 | + | 1.57743e7i | 1.24642 | + | 0.404987i | 0.856637 | − | 0.515920i | \(-0.172550\pi\) |
0.389784 | + | 0.920906i | \(0.372550\pi\) | |||||||
\(80\) | −5.59267e6 | − | 5.02454e6i | −0.136540 | − | 0.122669i | ||||
\(81\) | 1.49244e7 | + | 4.59326e7i | 0.346703 | + | 1.06704i | ||||
\(82\) | −1.58679e7 | − | 1.58679e7i | −0.350966 | − | 0.350966i | ||||
\(83\) | −2.55103e7 | − | 1.29982e7i | −0.537532 | − | 0.273886i | 0.164078 | − | 0.986447i | \(-0.447535\pi\) |
−0.701610 | + | 0.712561i | \(0.747535\pi\) | |||||||
\(84\) | 3.79278e7 | − | 5.22031e7i | 0.761799 | − | 1.04853i | ||||
\(85\) | 2.39876e7 | − | 3.70268e7i | 0.459528 | − | 0.709317i | ||||
\(86\) | −2.44488e7 | + | 1.77631e7i | −0.446954 | + | 0.324731i | ||||
\(87\) | 1.25829e7 | + | 7.94450e7i | 0.219635 | + | 1.38672i | ||||
\(88\) | 1.02211e8 | − | 1.61886e7i | 1.70438 | − | 0.269948i | ||||
\(89\) | −5.71371e6 | − | 7.86424e6i | −0.0910663 | − | 0.125342i | 0.761053 | − | 0.648690i | \(-0.224683\pi\) |
−0.852119 | + | 0.523348i | \(0.824683\pi\) | |||||||
\(90\) | −2.40430e7 | + | 1.95135e7i | −0.366454 | + | 0.297416i | ||||
\(91\) | 9.34749e7 | + | 6.79135e7i | 1.36311 | + | 0.990355i | ||||
\(92\) | −3.29719e7 | + | 6.47111e7i | −0.460249 | + | 0.903290i | ||||
\(93\) | −2.90869e6 | + | 2.90869e6i | −0.0388836 | + | 0.0388836i | ||||
\(94\) | 4.15420e7 | − | 1.34978e7i | 0.532079 | − | 0.172883i | ||||
\(95\) | −2.34320e7 | + | 5.00755e6i | −0.287683 | + | 0.0614796i | ||||
\(96\) | −3.70192e7 | + | 1.13933e8i | −0.435855 | + | 1.34142i | ||||
\(97\) | 5.31831e7 | − | 2.70981e7i | 0.600740 | − | 0.306092i | −0.127046 | − | 0.991897i | \(-0.540550\pi\) |
0.727786 | + | 0.685805i | \(0.240550\pi\) | |||||||
\(98\) | 6.82269e6 | − | 4.30768e7i | 0.0739692 | − | 0.467023i | ||||
\(99\) | 1.52276e8i | 1.58523i | ||||||||
\(100\) | −6.04653e7 | − | 3.47326e7i | −0.604653 | − | 0.347326i | ||||
\(101\) | 4.85354e7 | 0.466415 | 0.233208 | − | 0.972427i | \(-0.425078\pi\) | ||||
0.233208 | + | 0.972427i | \(0.425078\pi\) | |||||||
\(102\) | −6.77583e7 | − | 1.07319e7i | −0.625982 | − | 0.0991459i | ||||
\(103\) | 6.17089e7 | + | 1.21111e8i | 0.548276 | + | 1.07605i | 0.984364 | + | 0.176148i | \(0.0563636\pi\) |
−0.436088 | + | 0.899904i | \(0.643636\pi\) | |||||||
\(104\) | −1.28375e8 | − | 4.17115e7i | −1.09735 | − | 0.356552i | ||||
\(105\) | 9.16626e7 | − | 2.06488e8i | 0.754111 | − | 1.69878i | ||||
\(106\) | −2.78415e7 | − | 8.56874e7i | −0.220531 | − | 0.678724i | ||||
\(107\) | −5.85241e7 | − | 5.85241e7i | −0.446477 | − | 0.446477i | 0.447704 | − | 0.894182i | \(-0.352242\pi\) |
−0.894182 | + | 0.447704i | \(0.852242\pi\) | |||||||
\(108\) | 1.63793e7 | + | 8.34566e6i | 0.120393 | + | 0.0613431i | ||||
\(109\) | −1.39357e8 | + | 1.91808e8i | −0.987240 | + | 1.35882i | −0.0544035 | + | 0.998519i | \(0.517326\pi\) |
−0.932836 | + | 0.360300i | \(0.882674\pi\) | |||||||
\(110\) | 1.38907e8 | − | 5.34968e7i | 0.948756 | − | 0.365390i | ||||
\(111\) | −2.49366e7 | + | 1.81175e7i | −0.164265 | + | 0.119346i | ||||
\(112\) | −6.16102e6 | − | 3.88992e7i | −0.0391544 | − | 0.247211i | ||||
\(113\) | −1.48802e8 | + | 2.35680e7i | −0.912633 | + | 0.144547i | −0.595054 | − | 0.803685i | \(-0.702870\pi\) |
−0.317578 | + | 0.948232i | \(0.602870\pi\) | |||||||
\(114\) | 2.19004e7 | + | 3.01433e7i | 0.129668 | + | 0.178473i | ||||
\(115\) | −6.55424e7 | + | 2.45688e8i | −0.374741 | + | 1.40473i | ||||
\(116\) | 1.05216e8 | + | 7.64438e7i | 0.581098 | + | 0.422193i | ||||
\(117\) | 9.01726e7 | − | 1.76974e8i | 0.481206 | − | 0.944420i | ||||
\(118\) | 6.96750e7 | − | 6.96750e7i | 0.359376 | − | 0.359376i | ||||
\(119\) | 2.19799e8 | − | 7.14170e7i | 1.09607 | − | 0.356134i | ||||
\(120\) | −2.72996e7 | + | 2.62514e8i | −0.131653 | + | 1.26598i | ||||
\(121\) | 1.59962e8 | − | 4.92313e8i | 0.746236 | − | 2.29668i | ||||
\(122\) | 4.14511e7 | − | 2.11204e7i | 0.187110 | − | 0.0953372i | ||||
\(123\) | 4.40288e7 | − | 2.77987e8i | 0.192361 | − | 1.21452i | ||||
\(124\) | 6.65105e6i | 0.0281322i | ||||||||
\(125\) | −2.32439e8 | − | 7.46774e7i | −0.952071 | − | 0.305879i | ||||
\(126\) | −1.62210e8 | −0.643570 | ||||||||
\(127\) | −1.37693e8 | − | 2.18084e7i | −0.529292 | − | 0.0838316i | −0.113932 | − | 0.993489i | \(-0.536345\pi\) |
−0.415360 | + | 0.909657i | \(0.636345\pi\) | |||||||
\(128\) | 1.00243e8 | + | 1.96738e8i | 0.373434 | + | 0.732906i | ||||
\(129\) | −3.60475e8 | − | 1.17125e8i | −1.30172 | − | 0.422953i | ||||
\(130\) | −1.93115e8 | − | 2.00826e7i | −0.676151 | − | 0.0703148i | ||||
\(131\) | −1.19564e8 | − | 3.67980e8i | −0.405990 | − | 1.24951i | −0.920066 | − | 0.391763i | \(-0.871865\pi\) |
0.514076 | − | 0.857744i | \(-0.328135\pi\) | |||||||
\(132\) | 3.77049e8 | + | 3.77049e8i | 1.24194 | + | 1.24194i | ||||
\(133\) | −1.11838e8 | − | 5.69845e7i | −0.357425 | − | 0.182117i | ||||
\(134\) | −2.47744e7 | + | 3.40990e7i | −0.0768393 | + | 0.105760i | ||||
\(135\) | 6.21870e7 | + | 1.65897e7i | 0.187225 | + | 0.0499463i | ||||
\(136\) | −2.18430e8 | + | 1.58699e8i | −0.638495 | + | 0.463894i | ||||
\(137\) | −4.36727e7 | − | 2.75739e8i | −0.123973 | − | 0.782736i | −0.968827 | − | 0.247738i | \(-0.920313\pi\) |
0.844854 | − | 0.534997i | \(-0.179687\pi\) | |||||||
\(138\) | 3.90535e8 | − | 6.18547e7i | 1.07682 | − | 0.170552i | ||||
\(139\) | −7.20757e7 | − | 9.92036e7i | −0.193077 | − | 0.265747i | 0.701493 | − | 0.712677i | \(-0.252517\pi\) |
−0.894569 | + | 0.446930i | \(0.852517\pi\) | |||||||
\(140\) | −1.31281e8 | − | 3.40877e8i | −0.341734 | − | 0.887332i | ||||
\(141\) | 4.43209e8 | + | 3.22010e8i | 1.12133 | + | 0.814691i | ||||
\(142\) | −6.94987e7 | + | 1.36399e8i | −0.170932 | + | 0.335473i | ||||
\(143\) | −6.75144e8 | + | 6.75144e8i | −1.61455 | + | 1.61455i | ||||
\(144\) | −6.43898e7 | + | 2.09215e7i | −0.149750 | + | 0.0486567i | ||||
\(145\) | 4.16179e8 | + | 1.84747e8i | 0.941474 | + | 0.417932i | ||||
\(146\) | −5.08137e7 | + | 1.56388e8i | −0.111833 | + | 0.344186i | ||||
\(147\) | 4.87387e8 | − | 2.48336e8i | 1.04377 | − | 0.531827i | ||||
\(148\) | −7.79631e6 | + | 4.92239e7i | −0.0162496 | + | 0.102596i | ||||
\(149\) | 1.89475e7i | 0.0384421i | 0.999815 | + | 0.0192210i | \(0.00611863\pi\) | ||||
−0.999815 | + | 0.0192210i | \(0.993881\pi\) | |||||||
\(150\) | 4.05129e7 | + | 3.77469e8i | 0.0800255 | + | 0.745617i | ||||
\(151\) | −3.70790e7 | −0.0713215 | −0.0356608 | − | 0.999364i | \(-0.511354\pi\) | ||||
−0.0356608 | + | 0.999364i | \(0.511354\pi\) | |||||||
\(152\) | 1.44833e8 | + | 2.29392e7i | 0.271326 | + | 0.0429739i | ||||
\(153\) | −1.80367e8 | − | 3.53989e8i | −0.329147 | − | 0.645988i | ||||
\(154\) | 7.41596e8 | + | 2.40959e8i | 1.31851 | + | 0.428411i | ||||
\(155\) | 4.86658e6 | + | 2.27723e7i | 0.00843134 | + | 0.0394530i | ||||
\(156\) | −2.14927e8 | − | 6.61476e8i | −0.362904 | − | 1.11690i | ||||
\(157\) | 1.71695e8 | + | 1.71695e8i | 0.282591 | + | 0.282591i | 0.834142 | − | 0.551550i | \(-0.185964\pi\) |
−0.551550 | + | 0.834142i | \(0.685964\pi\) | |||||||
\(158\) | −4.00375e8 | − | 2.04001e8i | −0.642448 | − | 0.327344i | ||||
\(159\) | 6.64200e8 | − | 9.14193e8i | 1.03923 | − | 1.43037i | ||||
\(160\) | 4.27363e8 | + | 5.26564e8i | 0.652104 | + | 0.803473i | ||||
\(161\) | −1.07764e9 | + | 7.82952e8i | −1.60387 | + | 1.16528i | ||||
\(162\) | −6.65069e7 | − | 4.19908e8i | −0.0965620 | − | 0.609669i | ||||
\(163\) | −4.35355e8 | + | 6.89534e7i | −0.616727 | + | 0.0976800i | −0.456978 | − | 0.889478i | \(-0.651068\pi\) |
−0.159749 | + | 0.987158i | \(0.551068\pi\) | |||||||
\(164\) | −2.67485e8 | − | 3.68162e8i | −0.369764 | − | 0.508937i | ||||
\(165\) | 1.56685e9 | + | 1.01508e9i | 2.11394 | + | 1.36950i | ||||
\(166\) | 2.03898e8 | + | 1.48140e8i | 0.268522 | + | 0.195093i | ||||
\(167\) | −2.49995e8 | + | 4.90642e8i | −0.321414 | + | 0.630811i | −0.994021 | − | 0.109189i | \(-0.965175\pi\) |
0.672607 | + | 0.740000i | \(0.265175\pi\) | |||||||
\(168\) | −9.77638e8 | + | 9.77638e8i | −1.22727 | + | 1.22727i | ||||
\(169\) | 4.08634e8 | − | 1.32773e8i | 0.500943 | − | 0.162766i | ||||
\(170\) | −2.59546e8 | + | 2.88893e8i | −0.310755 | + | 0.345893i | ||||
\(171\) | −6.66780e7 | + | 2.05214e8i | −0.0779827 | + | 0.240006i | ||||
\(172\) | −5.46043e8 | + | 2.78223e8i | −0.623897 | + | 0.317891i | ||||
\(173\) | 5.82632e7 | − | 3.67860e8i | 0.0650444 | − | 0.410674i | −0.933586 | − | 0.358354i | \(-0.883338\pi\) |
0.998630 | − | 0.0523207i | \(-0.0166618\pi\) | |||||||
\(174\) | − | 7.08053e8i | − | 0.772447i | ||||||
\(175\) | −6.98908e8 | − | 1.07106e9i | −0.745191 | − | 1.14199i | ||||
\(176\) | 3.25457e8 | 0.339190 | ||||||||
\(177\) | 1.22062e9 | + | 1.93328e8i | 1.24362 | + | 0.196970i | ||||
\(178\) | 3.88477e7 | + | 7.62429e7i | 0.0386977 | + | 0.0759485i | ||||
\(179\) | −6.71575e8 | − | 2.18208e8i | −0.654158 | − | 0.212549i | −0.0369111 | − | 0.999319i | \(-0.511752\pi\) |
−0.617246 | + | 0.786770i | \(0.711752\pi\) | |||||||
\(180\) | −5.43469e8 | + | 3.14569e8i | −0.517708 | + | 0.299658i | ||||
\(181\) | −8.46177e7 | − | 2.60427e8i | −0.0788401 | − | 0.242645i | 0.903866 | − | 0.427815i | \(-0.140716\pi\) |
−0.982707 | + | 0.185170i | \(0.940716\pi\) | |||||||
\(182\) | −7.19187e8 | − | 7.19187e8i | −0.655475 | − | 0.655475i | ||||
\(183\) | 5.19883e8 | + | 2.64893e8i | 0.463555 | + | 0.236193i | ||||
\(184\) | 9.14684e8 | − | 1.25895e9i | 0.797994 | − | 1.09834i | ||||
\(185\) | 9.32367e6 | + | 1.74241e8i | 0.00795976 | + | 0.148752i | ||||
\(186\) | 2.92948e7 | − | 2.12839e7i | 0.0244759 | − | 0.0177828i | ||||
\(187\) | 2.98762e8 | + | 1.88631e9i | 0.244320 | + | 1.54258i | ||||
\(188\) | 8.74878e8 | − | 1.38567e8i | 0.700352 | − | 0.110925i | ||||
\(189\) | 1.98176e8 | + | 2.72766e8i | 0.155312 | + | 0.213768i | ||||
\(190\) | 2.10622e8 | − | 1.12705e7i | 0.161618 | − | 0.00864822i | ||||
\(191\) | −1.88889e9 | − | 1.37236e9i | −1.41930 | − | 1.03118i | −0.991887 | − | 0.127122i | \(-0.959426\pi\) |
−0.427410 | − | 0.904058i | \(-0.640574\pi\) | |||||||
\(192\) | 3.24400e8 | − | 6.36671e8i | 0.238713 | − | 0.468500i | ||||
\(193\) | 1.61150e8 | − | 1.61150e8i | 0.116145 | − | 0.116145i | −0.646646 | − | 0.762791i | \(-0.723829\pi\) |
0.762791 | + | 0.646646i | \(0.223829\pi\) | |||||||
\(194\) | −4.99710e8 | + | 1.62366e8i | −0.352786 | + | 0.114627i | ||||
\(195\) | −1.21988e9 | − | 2.10754e9i | −0.843684 | − | 1.45760i | ||||
\(196\) | 2.73308e8 | − | 8.41155e8i | 0.185194 | − | 0.569970i | ||||
\(197\) | 7.91737e8 | − | 4.03410e8i | 0.525674 | − | 0.267844i | −0.170951 | − | 0.985279i | \(-0.554684\pi\) |
0.696625 | + | 0.717435i | \(0.254684\pi\) | |||||||
\(198\) | 2.09693e8 | − | 1.32395e9i | 0.136434 | − | 0.861411i | ||||
\(199\) | 1.12624e9i | 0.718156i | 0.933308 | + | 0.359078i | \(0.116909\pi\) | ||||
−0.933308 | + | 0.359078i | \(0.883091\pi\) | |||||||
\(200\) | 1.16320e9 | + | 9.37714e8i | 0.727000 | + | 0.586071i | ||||
\(201\) | −5.28632e8 | −0.323869 | ||||||||
\(202\) | −4.21985e8 | − | 6.68359e7i | −0.253450 | − | 0.0401425i | ||||
\(203\) | 1.08290e9 | + | 2.12531e9i | 0.637683 | + | 1.25152i | ||||
\(204\) | −1.32311e9 | − | 4.29904e8i | −0.763968 | − | 0.248228i | ||||
\(205\) | −1.18522e9 | − | 1.06482e9i | −0.671094 | − | 0.602921i | ||||
\(206\) | −3.69745e8 | − | 1.13796e9i | −0.205321 | − | 0.631914i | ||||
\(207\) | 1.61917e9 | + | 1.61917e9i | 0.881881 | + | 0.881881i | ||||
\(208\) | −3.78243e8 | − | 1.92724e8i | −0.202077 | − | 0.102963i | ||||
\(209\) | 6.09681e8 | − | 8.39154e8i | 0.319534 | − | 0.439801i | ||||
\(210\) | −1.08130e9 | + | 1.66906e9i | −0.555991 | + | 0.858215i | ||||
\(211\) | 1.88109e8 | − | 1.36669e8i | 0.0949029 | − | 0.0689510i | −0.539322 | − | 0.842100i | \(-0.681319\pi\) |
0.634225 | + | 0.773149i | \(0.281319\pi\) | |||||||
\(212\) | −2.85818e8 | − | 1.80458e9i | −0.141497 | − | 0.893375i | ||||
\(213\) | −1.89635e9 | + | 3.00353e8i | −0.921300 | + | 0.145920i | ||||
\(214\) | 4.28240e8 | + | 5.89422e8i | 0.204189 | + | 0.281042i | ||||
\(215\) | −1.66600e9 | + | 1.35214e9i | −0.779690 | + | 0.632801i | ||||
\(216\) | −3.18659e8 | − | 2.31519e8i | −0.146390 | − | 0.106358i | ||||
\(217\) | −5.53803e7 | + | 1.08690e8i | −0.0249756 | + | 0.0490174i | ||||
\(218\) | 1.47575e9 | − | 1.47575e9i | 0.653414 | − | 0.653414i | ||||
\(219\) | −1.96144e9 | + | 6.37309e8i | −0.852703 | + | 0.277060i | ||||
\(220\) | 2.95193e9 | − | 6.30845e8i | 1.26013 | − | 0.269297i | ||||
\(221\) | 7.69787e8 | − | 2.36916e9i | 0.322702 | − | 0.993175i | ||||
\(222\) | 2.41757e8 | − | 1.23181e8i | 0.0995331 | − | 0.0507146i | ||||
\(223\) | −4.23502e8 | + | 2.67388e9i | −0.171252 | + | 1.08124i | 0.740968 | + | 0.671541i | \(0.234367\pi\) |
−0.912220 | + | 0.409702i | \(0.865633\pi\) | |||||||
\(224\) | 3.55255e9i | 1.41107i | ||||||||
\(225\) | −1.63060e9 | + | 1.47470e9i | −0.636233 | + | 0.575405i | ||||
\(226\) | 1.32620e9 | 0.508364 | ||||||||
\(227\) | 4.88729e8 | + | 7.74071e7i | 0.184062 | + | 0.0291526i | 0.247785 | − | 0.968815i | \(-0.420297\pi\) |
−0.0637228 | + | 0.997968i | \(0.520297\pi\) | |||||||
\(228\) | 3.43026e8 | + | 6.73227e8i | 0.126937 | + | 0.249128i | ||||
\(229\) | 6.72499e8 | + | 2.18508e8i | 0.244540 | + | 0.0794559i | 0.428723 | − | 0.903436i | \(-0.358964\pi\) |
−0.184183 | + | 0.982892i | \(0.558964\pi\) | |||||||
\(230\) | 9.08177e8 | − | 2.04585e9i | 0.324533 | − | 0.731076i | ||||
\(231\) | 3.02213e9 | + | 9.30116e9i | 1.06137 | + | 3.26655i | ||||
\(232\) | −1.97044e9 | − | 1.97044e9i | −0.680160 | − | 0.680160i | ||||
\(233\) | 2.56390e9 | + | 1.30637e9i | 0.869917 | + | 0.443245i | 0.831179 | − | 0.556004i | \(-0.187666\pi\) |
0.0387379 | + | 0.999249i | \(0.487666\pi\) | |||||||
\(234\) | −1.02770e9 | + | 1.41451e9i | −0.342769 | + | 0.471782i | ||||
\(235\) | 2.89408e9 | − | 1.11458e9i | 0.948940 | − | 0.365461i | ||||
\(236\) | 1.61658e9 | − | 1.17451e9i | 0.521132 | − | 0.378625i | ||||
\(237\) | −8.81633e8 | − | 5.56641e9i | −0.279444 | − | 1.76434i | ||||
\(238\) | −2.00936e9 | + | 3.18252e8i | −0.626254 | + | 0.0991889i | ||||
\(239\) | 7.74129e8 | + | 1.06550e9i | 0.237259 | + | 0.326558i | 0.910998 | − | 0.412410i | \(-0.135313\pi\) |
−0.673740 | + | 0.738969i | \(0.735313\pi\) | |||||||
\(240\) | −2.13951e8 | + | 8.02004e8i | −0.0644867 | + | 0.241730i | ||||
\(241\) | 1.73779e9 | + | 1.26258e9i | 0.515145 | + | 0.374275i | 0.814772 | − | 0.579782i | \(-0.196862\pi\) |
−0.299627 | + | 0.954056i | \(0.596862\pi\) | |||||||
\(242\) | −2.06872e9 | + | 4.06009e9i | −0.603170 | + | 1.18379i | ||||
\(243\) | 3.29266e9 | − | 3.29266e9i | 0.944325 | − | 0.944325i | ||||
\(244\) | 8.97238e8 | − | 2.91530e8i | 0.253133 | − | 0.0822478i | ||||
\(245\) | 3.20296e8 | − | 3.07998e9i | 0.0888970 | − | 0.854838i | ||||
\(246\) | −7.65607e8 | + | 2.35630e9i | −0.209057 | + | 0.643413i | ||||
\(247\) | −1.20548e9 | + | 6.14223e8i | −0.323871 | + | 0.165021i | ||||
\(248\) | 2.22934e7 | − | 1.40755e8i | 0.00589346 | − | 0.0372098i | ||||
\(249\) | 3.16100e9i | 0.822293i | ||||||||
\(250\) | 1.91808e9 | + | 9.69356e8i | 0.491029 | + | 0.248155i | ||||
\(251\) | −1.85326e9 | −0.466918 | −0.233459 | − | 0.972367i | \(-0.575005\pi\) | ||||
−0.233459 | + | 0.972367i | \(0.575005\pi\) | |||||||
\(252\) | −3.24896e9 | − | 5.14585e8i | −0.805642 | − | 0.127601i | ||||
\(253\) | −4.99732e9 | − | 9.80778e9i | −1.21970 | − | 2.39381i | ||||
\(254\) | 1.16712e9 | + | 3.79221e8i | 0.280402 | + | 0.0911081i | ||||
\(255\) | −4.84471e9 | − | 5.03815e8i | −1.14580 | − | 0.119155i | ||||
\(256\) | −1.11263e9 | − | 3.42432e9i | −0.259054 | − | 0.797287i | ||||
\(257\) | 2.61749e9 | + | 2.61749e9i | 0.600001 | + | 0.600001i | 0.940313 | − | 0.340312i | \(-0.110533\pi\) |
−0.340312 | + | 0.940313i | \(0.610533\pi\) | |||||||
\(258\) | 2.97282e9 | + | 1.51473e9i | 0.670950 | + | 0.341866i | ||||
\(259\) | −5.37271e8 | + | 7.39490e8i | −0.119397 | + | 0.164336i | ||||
\(260\) | −3.80426e9 | − | 1.01487e9i | −0.832487 | − | 0.222083i | ||||
\(261\) | 3.31734e9 | − | 2.41019e9i | 0.714872 | − | 0.519385i | ||||
\(262\) | 5.32806e8 | + | 3.36401e9i | 0.113074 | + | 0.713924i | ||||
\(263\) | −5.23143e9 | + | 8.28578e8i | −1.09345 | + | 0.173185i | −0.677006 | − | 0.735978i | \(-0.736723\pi\) |
−0.416441 | + | 0.909163i | \(0.636723\pi\) | |||||||
\(264\) | −6.71561e9 | − | 9.24324e9i | −1.38251 | − | 1.90287i | ||||
\(265\) | −2.29902e9 | − | 5.96952e9i | −0.466186 | − | 1.21048i | ||||
\(266\) | 8.93896e8 | + | 6.49453e8i | 0.178550 | + | 0.129724i | ||||
\(267\) | −4.87231e8 | + | 9.56244e8i | −0.0958715 | + | 0.188158i | ||||
\(268\) | −6.04388e8 | + | 6.04388e8i | −0.117159 | + | 0.117159i | ||||
\(269\) | 4.13168e9 | − | 1.34246e9i | 0.789074 | − | 0.256386i | 0.113364 | − | 0.993553i | \(-0.463837\pi\) |
0.675710 | + | 0.737168i | \(0.263837\pi\) | |||||||
\(270\) | −5.17833e8 | − | 2.29872e8i | −0.0974394 | − | 0.0432545i | ||||
\(271\) | −2.81310e9 | + | 8.65783e9i | −0.521564 | + | 1.60521i | 0.249447 | + | 0.968389i | \(0.419751\pi\) |
−0.771011 | + | 0.636822i | \(0.780249\pi\) | |||||||
\(272\) | −7.56575e8 | + | 3.85494e8i | −0.138222 | + | 0.0704275i | ||||
\(273\) | 1.99553e9 | − | 1.25993e10i | 0.359259 | − | 2.26827i | ||||
\(274\) | 2.45752e9i | 0.436008i | ||||||||
\(275\) | 9.64543e9 | − | 4.31986e9i | 1.68652 | − | 0.755334i | ||||
\(276\) | 8.01838e9 | 1.38182 | ||||||||
\(277\) | −9.94091e9 | − | 1.57449e9i | −1.68852 | − | 0.267436i | −0.763075 | − | 0.646310i | \(-0.776311\pi\) |
−0.925448 | + | 0.378874i | \(0.876311\pi\) | |||||||
\(278\) | 4.90045e8 | + | 9.61767e8i | 0.0820459 | + | 0.161024i | ||||
\(279\) | 1.99437e8 | + | 6.48009e7i | 0.0329146 | + | 0.0106946i | ||||
\(280\) | 1.63570e9 | + | 7.65398e9i | 0.266116 | + | 1.24525i | ||||
\(281\) | 1.46231e9 | + | 4.50054e9i | 0.234539 | + | 0.721838i | 0.997182 | + | 0.0750178i | \(0.0239014\pi\) |
−0.762643 | + | 0.646820i | \(0.776099\pi\) | |||||||
\(282\) | −3.41000e9 | − | 3.41000e9i | −0.539211 | − | 0.539211i | ||||
\(283\) | 9.87722e9 | + | 5.03269e9i | 1.53989 | + | 0.784612i | 0.998424 | − | 0.0561130i | \(-0.0178707\pi\) |
0.541463 | + | 0.840725i | \(0.317871\pi\) | |||||||
\(284\) | −1.82472e9 | + | 2.51150e9i | −0.280493 | + | 0.386065i | ||||
\(285\) | 1.66708e9 | + | 2.05405e9i | 0.252683 | + | 0.311337i | ||||
\(286\) | 6.79967e9 | − | 4.94025e9i | 1.01630 | − | 0.738389i | ||||
\(287\) | −1.30567e9 | − | 8.24366e9i | −0.192444 | − | 1.21504i | ||||
\(288\) | 6.03184e9 | − | 9.55350e8i | 0.876759 | − | 0.138865i | ||||
\(289\) | 1.17145e9 | + | 1.61237e9i | 0.167932 | + | 0.231139i | ||||
\(290\) | −3.36402e9 | − | 2.17936e9i | −0.475627 | − | 0.308133i | ||||
\(291\) | −5.33137e9 | − | 3.87347e9i | −0.743476 | − | 0.540167i | ||||
\(292\) | −1.51388e9 | + | 2.97116e9i | −0.208238 | + | 0.408690i | ||||
\(293\) | −7.80845e9 | + | 7.80845e9i | −1.05948 | + | 1.05948i | −0.0613688 | + | 0.998115i | \(0.519547\pi\) |
−0.998115 | + | 0.0613688i | \(0.980453\pi\) | |||||||
\(294\) | −4.57950e9 | + | 1.48797e9i | −0.612955 | + | 0.199161i | ||||
\(295\) | 4.67555e9 | − | 5.20422e9i | 0.617369 | − | 0.687175i | ||||
\(296\) | 3.29984e8 | − | 1.01559e9i | 0.0429859 | − | 0.132297i | ||||
\(297\) | −2.48249e9 | + | 1.26489e9i | −0.319052 | + | 0.162565i | ||||
\(298\) | 2.60918e7 | − | 1.64737e8i | 0.00330856 | − | 0.0208894i | ||||
\(299\) | 1.43577e10i | 1.79639i | ||||||||
\(300\) | −3.86011e8 | + | 7.68897e9i | −0.0476556 | + | 0.949255i | ||||
\(301\) | −1.12399e10 | −1.36930 | ||||||||
\(302\) | 3.22380e8 | + | 5.10599e7i | 0.0387561 | + | 0.00613836i | ||||
\(303\) | −2.43273e9 | − | 4.77450e9i | −0.288618 | − | 0.566444i | ||||
\(304\) | 4.38600e8 | + | 1.42510e8i | 0.0513540 | + | 0.0166859i | ||||
\(305\) | 2.85871e9 | − | 1.65467e9i | 0.330347 | − | 0.191211i | ||||
\(306\) | 1.08071e9 | + | 3.32610e9i | 0.123261 | + | 0.379358i | ||||
\(307\) | 3.88462e9 | + | 3.88462e9i | 0.437316 | + | 0.437316i | 0.891108 | − | 0.453792i | \(-0.149929\pi\) |
−0.453792 | + | 0.891108i | \(0.649929\pi\) | |||||||
\(308\) | 1.40893e10 | + | 7.17884e9i | 1.56562 | + | 0.797722i | ||||
\(309\) | 8.82081e9 | − | 1.21408e10i | 0.967553 | − | 1.33172i | ||||
\(310\) | −1.09532e7 | − | 2.04693e8i | −0.00118602 | − | 0.0221644i | ||||
\(311\) | 4.00450e9 | − | 2.90944e9i | 0.428062 | − | 0.311005i | −0.352811 | − | 0.935694i | \(-0.614774\pi\) |
0.780874 | + | 0.624689i | \(0.214774\pi\) | |||||||
\(312\) | 2.33128e9 | + | 1.47191e10i | 0.246023 | + | 1.55333i | ||||
\(313\) | 5.51440e8 | − | 8.73395e7i | 0.0574541 | − | 0.00909983i | −0.127641 | − | 0.991820i | \(-0.540741\pi\) |
0.185095 | + | 0.982721i | \(0.440741\pi\) | |||||||
\(314\) | −1.25635e9 | − | 1.72922e9i | −0.129238 | − | 0.177881i | ||||
\(315\) | −1.15005e10 | + | 6.15396e8i | −1.16809 | + | 0.0625047i | ||||
\(316\) | −7.37208e9 | − | 5.35613e9i | −0.739336 | − | 0.537159i | ||||
\(317\) | 5.52082e9 | − | 1.08352e10i | 0.546722 | − | 1.07300i | −0.438017 | − | 0.898967i | \(-0.644319\pi\) |
0.984739 | − | 0.174036i | \(-0.0556811\pi\) | |||||||
\(318\) | −7.03371e9 | + | 7.03371e9i | −0.687822 | + | 0.687822i | ||||
\(319\) | −1.87466e10 | + | 6.09114e9i | −1.81034 | + | 0.588214i | ||||
\(320\) | −2.02638e9 | − | 3.50090e9i | −0.193251 | − | 0.333872i | ||||
\(321\) | −2.82371e9 | + | 8.69050e9i | −0.265950 | + | 0.818511i | ||||
\(322\) | 1.04476e10 | − | 5.32332e9i | 0.971836 | − | 0.495175i | ||||
\(323\) | −4.23344e8 | + | 2.67289e9i | −0.0388941 | + | 0.245567i | ||||
\(324\) | − | 8.62146e9i | − | 0.782349i | ||||||
\(325\) | −1.37679e10 | − | 6.91191e8i | −1.23405 | − | 0.0619533i | ||||
\(326\) | 3.88010e9 | 0.343536 | ||||||||
\(327\) | 2.58535e10 | + | 4.09479e9i | 2.26114 | + | 0.358130i | ||||
\(328\) | 4.42673e9 | + | 8.68794e9i | 0.382461 | + | 0.750622i | ||||
\(329\) | 1.54509e10 | + | 5.02029e9i | 1.31877 | + | 0.428494i | ||||
\(330\) | −1.22250e10 | − | 1.09831e10i | −1.03084 | − | 0.926126i | ||||
\(331\) | −6.17460e9 | − | 1.90035e10i | −0.514395 | − | 1.58314i | −0.784380 | − | 0.620280i | \(-0.787019\pi\) |
0.269985 | − | 0.962864i | \(-0.412981\pi\) | |||||||
\(332\) | 3.61398e9 | + | 3.61398e9i | 0.297464 | + | 0.297464i | ||||
\(333\) | 1.40006e9 | + | 7.13365e8i | 0.113859 | + | 0.0580143i | ||||
\(334\) | 2.84919e9 | − | 3.92158e9i | 0.228948 | − | 0.315119i | ||||
\(335\) | −1.62711e9 | + | 2.51157e9i | −0.129193 | + | 0.199419i | ||||
\(336\) | −3.51776e9 | + | 2.55581e9i | −0.276000 | + | 0.200526i | ||||
\(337\) | 1.66266e9 | + | 1.04976e10i | 0.128909 | + | 0.813899i | 0.964410 | + | 0.264410i | \(0.0851773\pi\) |
−0.835501 | + | 0.549488i | \(0.814823\pi\) | |||||||
\(338\) | −3.73566e9 | + | 5.91671e8i | −0.286220 | + | 0.0453329i | ||||
\(339\) | 9.77681e9 | + | 1.34566e10i | 0.740284 | + | 1.01891i | ||||
\(340\) | −6.11500e9 | + | 4.96297e9i | −0.457594 | + | 0.371386i | ||||
\(341\) | −8.15530e8 | − | 5.92517e8i | −0.0603146 | − | 0.0438211i | ||||
\(342\) | 8.62316e8 | − | 1.69239e9i | 0.0630321 | − | 0.123707i | ||||
\(343\) | −1.87582e9 | + | 1.87582e9i | −0.135523 | + | 0.135523i | ||||
\(344\) | 1.24884e10 | − | 4.05773e9i | 0.891811 | − | 0.289767i | ||||
\(345\) | 2.74539e10 | − | 5.86705e9i | 1.93788 | − | 0.414137i | ||||
\(346\) | −1.01313e9 | + | 3.11808e9i | −0.0706902 | + | 0.217562i | ||||
\(347\) | −3.58536e9 | + | 1.82683e9i | −0.247295 | + | 0.126003i | −0.573245 | − | 0.819384i | \(-0.694316\pi\) |
0.325951 | + | 0.945387i | \(0.394316\pi\) | |||||||
\(348\) | 2.24618e9 | − | 1.41818e10i | 0.153154 | − | 0.966976i | ||||
\(349\) | − | 1.80381e10i | − | 1.21588i | −0.793984 | − | 0.607939i | \(-0.791997\pi\) | ||
0.793984 | − | 0.607939i | \(-0.208003\pi\) | |||||||
\(350\) | 4.60167e9 | + | 1.02747e10i | 0.306650 | + | 0.684691i | ||||
\(351\) | 3.63414e9 | 0.239427 | ||||||||
\(352\) | −2.89957e10 | − | 4.59247e9i | −1.88870 | − | 0.299141i | ||||
\(353\) | −2.49130e8 | − | 4.88946e8i | −0.0160446 | − | 0.0314892i | 0.882845 | − | 0.469664i | \(-0.155625\pi\) |
−0.898890 | + | 0.438175i | \(0.855625\pi\) | |||||||
\(354\) | −1.03463e10 | − | 3.36173e9i | −0.658831 | − | 0.214067i | ||||
\(355\) | −4.40991e9 | + | 9.93420e9i | −0.277662 | + | 0.625489i | ||||
\(356\) | 5.36225e8 | + | 1.65033e9i | 0.0333847 | + | 0.102748i | ||||
\(357\) | −1.80423e10 | − | 1.80423e10i | −1.11076 | − | 1.11076i | ||||
\(358\) | 5.53845e9 | + | 2.82198e9i | 0.337176 | + | 0.171800i | ||||
\(359\) | 7.73578e8 | − | 1.06474e9i | 0.0465722 | − | 0.0641011i | −0.785096 | − | 0.619374i | \(-0.787386\pi\) |
0.831668 | + | 0.555273i | \(0.187386\pi\) | |||||||
\(360\) | 1.25558e10 | − | 4.83555e9i | 0.747537 | − | 0.287896i | ||||
\(361\) | −1.25509e10 | + | 9.11877e9i | −0.739004 | + | 0.536918i | ||||
\(362\) | 3.77077e8 | + | 2.38077e9i | 0.0219582 | + | 0.138638i | ||||
\(363\) | −5.64474e10 | + | 8.94039e9i | −3.25100 | + | 0.514908i | ||||
\(364\) | −1.21233e10 | − | 1.66863e10i | −0.690584 | − | 0.950507i | ||||
\(365\) | −3.00933e9 | + | 1.12806e10i | −0.169550 | + | 0.635564i | ||||
\(366\) | −4.15529e9 | − | 3.01899e9i | −0.231567 | − | 0.168243i | ||||
\(367\) | 1.42552e10 | − | 2.79775e10i | 0.785797 | − | 1.54221i | −0.0535178 | − | 0.998567i | \(-0.517043\pi\) |
0.839315 | − | 0.543646i | \(-0.182957\pi\) | |||||||
\(368\) | 3.46062e9 | − | 3.46062e9i | 0.188696 | − | 0.188696i | ||||
\(369\) | −1.36457e10 | + | 4.43376e9i | −0.736022 | + | 0.239148i | ||||
\(370\) | 1.58876e8 | − | 1.52776e9i | 0.00847716 | − | 0.0815168i | ||||
\(371\) | 1.03552e10 | − | 3.18700e10i | 0.546591 | − | 1.68223i | ||||
\(372\) | 6.54274e8 | − | 3.33369e8i | 0.0341655 | − | 0.0174082i | ||||
\(373\) | 2.91835e9 | − | 1.84257e10i | 0.150765 | − | 0.951895i | −0.790067 | − | 0.613021i | \(-0.789954\pi\) |
0.940832 | − | 0.338874i | \(-0.110046\pi\) | |||||||
\(374\) | − | 1.68117e10i | − | 0.859262i | ||||||
\(375\) | 4.30437e9 | + | 2.66084e10i | 0.217663 | + | 1.34553i | ||||
\(376\) | −1.89794e10 | −0.949578 | ||||||||
\(377\) | 2.53940e10 | + | 4.02202e9i | 1.25709 | + | 0.199103i | ||||
\(378\) | −1.34741e9 | − | 2.64443e9i | −0.0659980 | − | 0.129528i | ||||
\(379\) | 3.10895e10 | + | 1.01016e10i | 1.50680 | + | 0.489590i | 0.941993 | − | 0.335631i | \(-0.108950\pi\) |
0.564810 | + | 0.825221i | \(0.308950\pi\) | |||||||
\(380\) | 4.25438e9 | + | 4.42425e8i | 0.204034 | + | 0.0212180i | ||||
\(381\) | 4.75622e9 | + | 1.46381e10i | 0.225716 | + | 0.694681i | ||||
\(382\) | 1.45329e10 | + | 1.45329e10i | 0.682496 | + | 0.682496i | ||||
\(383\) | −5.72495e9 | − | 2.91701e9i | −0.266058 | − | 0.135564i | 0.315873 | − | 0.948802i | \(-0.397703\pi\) |
−0.581931 | + | 0.813238i | \(0.697703\pi\) | |||||||
\(384\) | 1.43290e10 | − | 1.97221e10i | 0.659007 | − | 0.907045i | ||||
\(385\) | 5.34926e10 | + | 1.42703e10i | 2.43473 | + | 0.649515i | ||||
\(386\) | −1.62301e9 | + | 1.17919e9i | −0.0731092 | + | 0.0531170i | ||||
\(387\) | 3.02264e9 | + | 1.90842e10i | 0.134754 | + | 0.850806i | ||||
\(388\) | −1.05239e10 | + | 1.66683e9i | −0.464356 | + | 0.0735468i | ||||
\(389\) | −1.32393e10 | − | 1.82223e10i | −0.578184 | − | 0.795802i | 0.415311 | − | 0.909680i | \(-0.363673\pi\) |
−0.993495 | + | 0.113877i | \(0.963673\pi\) | |||||||
\(390\) | 7.70393e9 | + | 2.00037e10i | 0.333007 | + | 0.864671i | ||||
\(391\) | 2.32340e10 | + | 1.68805e10i | 0.994072 | + | 0.722235i | ||||
\(392\) | −8.60342e9 | + | 1.68852e10i | −0.364357 | + | 0.715090i | ||||
\(393\) | −3.02059e10 | + | 3.02059e10i | −1.26626 | + | 1.26626i | ||||
\(394\) | −7.43919e9 | + | 2.41714e9i | −0.308703 | + | 0.100304i | ||||
\(395\) | −2.91601e10 | − | 1.29445e10i | −1.19785 | − | 0.531738i | ||||
\(396\) | 8.40002e9 | − | 2.58526e10i | 0.341586 | − | 1.05129i | ||||
\(397\) | 1.24775e9 | − | 6.35760e8i | 0.0502302 | − | 0.0255936i | −0.428695 | − | 0.903449i | \(-0.641027\pi\) |
0.478925 | + | 0.877856i | \(0.341027\pi\) | |||||||
\(398\) | 1.55090e9 | − | 9.79197e9i | 0.0618088 | − | 0.390246i | ||||
\(399\) | 1.38579e10i | 0.546773i | ||||||||
\(400\) | 3.15185e9 | + | 3.48504e9i | 0.123119 | + | 0.136134i | ||||
\(401\) | −2.35330e10 | −0.910121 | −0.455060 | − | 0.890461i | \(-0.650382\pi\) | ||||
−0.455060 | + | 0.890461i | \(0.650382\pi\) | |||||||
\(402\) | 4.59613e9 | + | 7.27956e8i | 0.175990 | + | 0.0278741i | ||||
\(403\) | 5.96932e8 | + | 1.17154e9i | 0.0226310 | + | 0.0444159i | ||||
\(404\) | −8.24006e9 | − | 2.67736e9i | −0.309318 | − | 0.100503i | ||||
\(405\) | −6.30832e9 | − | 2.95187e10i | −0.234474 | − | 1.09718i | ||||
\(406\) | −6.48849e9 | − | 1.99695e10i | −0.238803 | − | 0.734960i | ||||
\(407\) | −5.34113e9 | − | 5.34113e9i | −0.194651 | − | 0.194651i | ||||
\(408\) | 2.65598e10 | + | 1.35329e10i | 0.958483 | + | 0.488371i | ||||
\(409\) | 1.55141e9 | − | 2.13534e9i | 0.0554415 | − | 0.0763086i | −0.780396 | − | 0.625286i | \(-0.784983\pi\) |
0.835838 | + | 0.548977i | \(0.184983\pi\) | |||||||
\(410\) | 8.83844e9 | + | 1.08901e10i | 0.312781 | + | 0.385385i | ||||
\(411\) | −2.49358e10 | + | 1.81169e10i | −0.873890 | + | 0.634918i | ||||
\(412\) | −3.79576e9 | − | 2.39655e10i | −0.131738 | − | 0.831760i | ||||
\(413\) | 3.61974e10 | − | 5.73310e9i | 1.24416 | − | 0.197056i | ||||
\(414\) | −1.18480e10 | − | 1.63073e10i | −0.403314 | − | 0.555114i | ||||
\(415\) | 1.50182e10 | + | 9.72945e9i | 0.506319 | + | 0.328017i | ||||
\(416\) | 3.09790e10 | + | 2.25075e10i | 1.03441 | + | 0.751544i | ||||
\(417\) | −6.14618e9 | + | 1.20626e10i | −0.203264 | + | 0.398929i | ||||
\(418\) | −6.45636e9 | + | 6.45636e9i | −0.211487 | + | 0.211487i | ||||
\(419\) | −4.63121e10 | + | 1.50477e10i | −1.50258 | + | 0.488218i | −0.940770 | − | 0.339046i | \(-0.889896\pi\) |
−0.561812 | + | 0.827265i | \(0.689896\pi\) | |||||||
\(420\) | −2.69525e10 | + | 3.00000e10i | −0.866167 | + | 0.964105i | ||||
\(421\) | −1.43622e10 | + | 4.42023e10i | −0.457186 | + | 1.40707i | 0.411364 | + | 0.911471i | \(0.365053\pi\) |
−0.868550 | + | 0.495602i | \(0.834947\pi\) | |||||||
\(422\) | −1.82369e9 | + | 9.29218e8i | −0.0575045 | + | 0.0293000i | ||||
\(423\) | 4.36887e9 | − | 2.75839e10i | 0.136461 | − | 0.861578i | ||||
\(424\) | 3.91482e10i | 1.21129i | ||||||||
\(425\) | −1.73055e10 | + | 2.14669e10i | −0.530431 | + | 0.657981i | ||||
\(426\) | 1.69012e10 | 0.513192 | ||||||||
\(427\) | 1.70899e10 | + | 2.70678e9i | 0.514077 | + | 0.0814218i | ||||
\(428\) | 6.70752e9 | + | 1.31643e10i | 0.199888 | + | 0.392303i | ||||
\(429\) | 1.00255e11 | + | 3.25748e10i | 2.95990 | + | 0.961730i | ||||
\(430\) | 1.63468e10 | − | 9.46183e9i | 0.478145 | − | 0.276759i | ||||
\(431\) | −8.76435e9 | − | 2.69739e10i | −0.253986 | − | 0.781690i | −0.994028 | − | 0.109128i | \(-0.965194\pi\) |
0.740041 | − | 0.672561i | \(-0.234806\pi\) | |||||||
\(432\) | −8.75930e8 | − | 8.75930e8i | −0.0251498 | − | 0.0251498i | ||||
\(433\) | −3.85878e9 | − | 1.96615e9i | −0.109774 | − | 0.0559325i | 0.398241 | − | 0.917281i | \(-0.369621\pi\) |
−0.508015 | + | 0.861348i | \(0.669621\pi\) | |||||||
\(434\) | 6.31170e8 | − | 8.68731e8i | 0.0177905 | − | 0.0244865i | ||||
\(435\) | −2.68623e9 | − | 5.02003e10i | −0.0750215 | − | 1.40200i | ||||
\(436\) | 3.42400e10 | − | 2.48768e10i | 0.947518 | − | 0.688412i | ||||
\(437\) | −2.44000e9 | − | 1.54056e10i | −0.0669060 | − | 0.422428i | ||||
\(438\) | 1.79311e10 | − | 2.84001e9i | 0.487203 | − | 0.0771654i | ||||
\(439\) | −3.00681e10 | − | 4.13851e10i | −0.809557 | − | 1.11426i | −0.991392 | − | 0.130930i | \(-0.958204\pi\) |
0.181835 | − | 0.983329i | \(-0.441796\pi\) | |||||||
\(440\) | −6.45858e10 | + | 3.45600e9i | −1.72316 | + | 0.0922069i | ||||
\(441\) | −2.25598e10 | − | 1.63907e10i | −0.596460 | − | 0.433354i | ||||
\(442\) | −9.95530e9 | + | 1.95384e10i | −0.260835 | + | 0.511917i | ||||
\(443\) | −3.90445e10 | + | 3.90445e10i | −1.01378 | + | 1.01378i | −0.0138790 | + | 0.999904i | \(0.504418\pi\) |
−0.999904 | + | 0.0138790i | \(0.995582\pi\) | |||||||
\(444\) | 5.23301e9 | − | 1.70031e9i | 0.134654 | − | 0.0437518i | ||||
\(445\) | 3.04351e9 | + | 5.25816e9i | 0.0776131 | + | 0.134089i | ||||
\(446\) | 7.36418e9 | − | 2.26646e10i | 0.186116 | − | 0.572807i | ||||
\(447\) | 1.86390e9 | − | 9.49703e8i | 0.0466865 | − | 0.0237880i | ||||
\(448\) | 3.31483e9 | − | 2.09290e10i | 0.0822905 | − | 0.519562i | ||||
\(449\) | 4.44975e10i | 1.09484i | 0.836858 | + | 0.547420i | \(0.184390\pi\) | ||||
−0.836858 | + | 0.547420i | \(0.815610\pi\) | |||||||
\(450\) | 1.62078e10 | − | 1.05762e10i | 0.395251 | − | 0.257917i | ||||
\(451\) | 6.89721e10 | 1.66712 | ||||||||
\(452\) | 2.65629e10 | + | 4.20715e9i | 0.636388 | + | 0.100794i | ||||
\(453\) | 1.85851e9 | + | 3.64752e9i | 0.0441338 | + | 0.0866174i | ||||
\(454\) | −4.14261e9 | − | 1.34601e9i | −0.0975102 | − | 0.0316830i | ||||
\(455\) | −5.37181e10 | − | 4.82611e10i | −1.25336 | − | 1.12604i | ||||
\(456\) | −5.00285e9 | − | 1.53972e10i | −0.115707 | − | 0.356108i | ||||
\(457\) | 1.16354e10 | + | 1.16354e10i | 0.266759 | + | 0.266759i | 0.827793 | − | 0.561034i | \(-0.189596\pi\) |
−0.561034 | + | 0.827793i | \(0.689596\pi\) | |||||||
\(458\) | −5.54607e9 | − | 2.82587e9i | −0.126044 | − | 0.0642229i | ||||
\(459\) | 4.27269e9 | − | 5.88086e9i | 0.0962612 | − | 0.132492i | ||||
\(460\) | 2.46803e10 | − | 3.80960e10i | 0.551213 | − | 0.850840i | ||||
\(461\) | −5.38803e10 | + | 3.91463e10i | −1.19296 | + | 0.866736i | −0.993574 | − | 0.113185i | \(-0.963895\pi\) |
−0.199386 | + | 0.979921i | \(0.563895\pi\) | |||||||
\(462\) | −1.34674e10 | − | 8.50295e10i | −0.295607 | − | 1.86639i | ||||
\(463\) | 2.07666e10 | − | 3.28911e9i | 0.451900 | − | 0.0715739i | 0.0736638 | − | 0.997283i | \(-0.476531\pi\) |
0.378236 | + | 0.925709i | \(0.376531\pi\) | |||||||
\(464\) | −5.15125e9 | − | 7.09009e9i | −0.111132 | − | 0.152961i | ||||
\(465\) | 1.99622e9 | − | 1.62014e9i | 0.0426969 | − | 0.0346531i | ||||
\(466\) | −2.04926e10 | − | 1.48888e10i | −0.434564 | − | 0.315729i | ||||
\(467\) | 2.83486e10 | − | 5.56373e10i | 0.596025 | − | 1.16976i | −0.374153 | − | 0.927367i | \(-0.622066\pi\) |
0.970177 | − | 0.242397i | \(-0.0779336\pi\) | |||||||
\(468\) | −2.50714e10 | + | 2.50714e10i | −0.522631 | + | 0.522631i | ||||
\(469\) | −1.49092e10 | + | 4.84430e9i | −0.308151 | + | 0.100124i | ||||
\(470\) | −2.66971e10 | + | 5.70532e9i | −0.547107 | + | 0.116920i | ||||
\(471\) | 8.28407e9 | − | 2.54957e10i | 0.168329 | − | 0.518065i | ||||
\(472\) | −3.81482e10 | + | 1.94375e10i | −0.768610 | + | 0.391626i | ||||
\(473\) | 1.45302e10 | − | 9.17398e10i | 0.290286 | − | 1.83279i | ||||
\(474\) | 4.96106e10i | 0.982791i | ||||||||
\(475\) | 1.48901e10 | − | 1.59813e9i | 0.292499 | − | 0.0313933i | ||||
\(476\) | −4.12558e10 | −0.803632 | ||||||||
\(477\) | −5.68965e10 | − | 9.01152e9i | −1.09904 | − | 0.174070i | ||||
\(478\) | −5.26333e9 | − | 1.03299e10i | −0.100821 | − | 0.197872i | ||||
\(479\) | −5.76637e10 | − | 1.87361e10i | −1.09537 | − | 0.355907i | −0.295050 | − | 0.955482i | \(-0.595336\pi\) |
−0.800319 | + | 0.599575i | \(0.795336\pi\) | |||||||
\(480\) | 3.03783e10 | − | 6.84332e10i | 0.572267 | − | 1.28915i | ||||
\(481\) | 3.04457e9 | + | 9.37023e9i | 0.0568782 | + | 0.175053i | ||||
\(482\) | −1.33704e10 | − | 1.33704e10i | −0.247717 | − | 0.247717i | ||||
\(483\) | 1.31035e11 | + | 6.67654e10i | 2.40767 | + | 1.22677i | ||||
\(484\) | −5.43150e10 | + | 7.47582e10i | −0.989779 | + | 1.36231i | ||||
\(485\) | −3.48129e10 | + | 1.34074e10i | −0.629178 | + | 0.242313i | ||||
\(486\) | −3.31618e10 | + | 2.40935e10i | −0.594420 | + | 0.431871i | ||||
\(487\) | 1.56025e10 | + | 9.85101e10i | 0.277381 | + | 1.75132i | 0.595583 | + | 0.803294i | \(0.296921\pi\) |
−0.318201 | + | 0.948023i | \(0.603079\pi\) | |||||||
\(488\) | −1.99653e10 | + | 3.16219e9i | −0.352044 | + | 0.0557582i | ||||
\(489\) | 2.86043e10 | + | 3.93704e10i | 0.500260 | + | 0.688548i | ||||
\(490\) | −7.02609e9 | + | 2.63375e10i | −0.121879 | + | 0.456867i | ||||
\(491\) | 7.40161e10 | + | 5.37758e10i | 1.27350 | + | 0.925254i | 0.999336 | − | 0.0364279i | \(-0.0115979\pi\) |
0.274167 | + | 0.961682i | \(0.411598\pi\) | |||||||
\(492\) | −2.28096e10 | + | 4.47663e10i | −0.389275 | + | 0.763995i | ||||
\(493\) | 3.63645e10 | − | 3.63645e10i | 0.615588 | − | 0.615588i | ||||
\(494\) | 1.13267e10 | − | 3.68028e9i | 0.190194 | − | 0.0617978i | ||||
\(495\) | 9.84419e9 | − | 9.46622e10i | 0.163968 | − | 1.57672i | ||||
\(496\) | 1.38498e8 | − | 4.26252e8i | 0.00228832 | − | 0.00704272i | ||||
\(497\) | −5.07313e10 | + | 2.58489e10i | −0.831477 | + | 0.423659i | ||||
\(498\) | 4.35287e9 | − | 2.74829e10i | 0.0707715 | − | 0.446834i | ||||
\(499\) | − | 1.02945e11i | − | 1.66037i | −0.557491 | − | 0.830183i | \(-0.688236\pi\) | ||
0.557491 | − | 0.830183i | \(-0.311764\pi\) | |||||||
\(500\) | 3.53428e10 | + | 2.55003e10i | 0.565484 | + | 0.408006i | ||||
\(501\) | 6.07957e10 | 0.964988 | ||||||||
\(502\) | 1.61129e10 | + | 2.55204e9i | 0.253723 | + | 0.0401858i | ||||
\(503\) | 4.08271e10 | + | 8.01277e10i | 0.637788 | + | 1.25173i | 0.953075 | + | 0.302733i | \(0.0978991\pi\) |
−0.315287 | + | 0.948996i | \(0.602101\pi\) | |||||||
\(504\) | 6.70324e10 | + | 2.17802e10i | 1.03887 | + | 0.337551i | ||||
\(505\) | −3.01719e10 | − | 3.13766e9i | −0.463913 | − | 0.0482437i | ||||
\(506\) | 2.99427e10 | + | 9.21543e10i | 0.456761 | + | 1.40577i | ||||
\(507\) | −3.35430e10 | − | 3.35430e10i | −0.507657 | − | 0.507657i | ||||
\(508\) | 2.21736e10 | + | 1.12980e10i | 0.332952 | + | 0.169648i | ||||
\(509\) | 6.39296e10 | − | 8.79916e10i | 0.952425 | − | 1.31090i | 0.00198386 | − | 0.999998i | \(-0.499369\pi\) |
0.950442 | − | 0.310903i | \(-0.100631\pi\) | |||||||
\(510\) | 4.14280e10 | + | 1.10518e10i | 0.612370 | + | 0.163363i | ||||
\(511\) | −4.94790e10 | + | 3.59486e10i | −0.725667 | + | 0.527228i | ||||
\(512\) | −3.88444e9 | − | 2.45254e10i | −0.0565261 | − | 0.356892i | ||||
\(513\) | −3.89937e9 | + | 6.17599e8i | −0.0563021 | + | 0.00891738i | ||||
\(514\) | −1.91530e10 | − | 2.63619e10i | −0.274400 | − | 0.377680i | ||||
\(515\) | −3.05318e10 | − | 7.92774e10i | −0.434033 | − | 1.12699i | ||||
\(516\) | 5.47384e10 | + | 3.97698e10i | 0.772135 | + | 0.560989i | ||||
\(517\) | −6.09490e10 | + | 1.19619e11i | −0.853109 | + | 1.67432i | ||||
\(518\) | 5.68956e9 | − | 5.68956e9i | 0.0790242 | − | 0.0790242i | ||||
\(519\) | −3.91072e10 | + | 1.27067e10i | −0.538999 | + | 0.175131i | ||||
\(520\) | 7.71074e10 | + | 3.42289e10i | 1.05459 | + | 0.468144i | ||||
\(521\) | 4.76308e9 | − | 1.46592e10i | 0.0646453 | − | 0.198958i | −0.913517 | − | 0.406801i | \(-0.866644\pi\) |
0.978162 | + | 0.207843i | \(0.0666443\pi\) | |||||||
\(522\) | −3.21612e10 | + | 1.63870e10i | −0.433162 | + | 0.220707i | ||||
\(523\) | 2.20774e10 | − | 1.39391e11i | 0.295081 | − | 1.86307i | −0.180749 | − | 0.983529i | \(-0.557852\pi\) |
0.475830 | − | 0.879537i | \(-0.342148\pi\) | |||||||
\(524\) | 6.90691e10i | 0.916133i | ||||||||
\(525\) | −7.03307e10 | + | 1.22437e11i | −0.925779 | + | 1.61167i | ||||
\(526\) | 4.66251e10 | 0.609084 | ||||||||
\(527\) | 2.59764e9 | + | 4.11426e8i | 0.0336773 | + | 0.00533395i | ||||
\(528\) | −1.63128e10 | − | 3.20157e10i | −0.209891 | − | 0.411934i | ||||
\(529\) | −8.29457e10 | − | 2.69507e10i | −1.05918 | − | 0.344150i | ||||
\(530\) | 1.17682e10 | + | 5.50672e10i | 0.149144 | + | 0.697895i | ||||
\(531\) | −1.94684e10 | − | 5.99175e10i | −0.244879 | − | 0.753660i | ||||
\(532\) | 1.58439e10 | + | 1.58439e10i | 0.197795 | + | 0.197795i | ||||
\(533\) | −8.01586e10 | − | 4.08428e10i | −0.993210 | − | 0.506066i | ||||
\(534\) | 5.55298e9 | − | 7.64302e9i | 0.0682906 | − | 0.0939939i | ||||
\(535\) | 3.25980e10 | + | 4.01648e10i | 0.397901 | + | 0.490264i | ||||
\(536\) | 1.48164e10 | − | 1.07647e10i | 0.179508 | − | 0.130420i | ||||
\(537\) | 1.21958e10 | + | 7.70011e10i | 0.146660 | + | 0.925976i | ||||
\(538\) | −3.77711e10 | + | 5.98235e9i | −0.450848 | + | 0.0714074i | ||||
\(539\) | 7.87917e10 | + | 1.08447e11i | 0.933524 | + | 1.28489i | ||||
\(540\) | −9.64262e9 | − | 6.24693e9i | −0.113402 | − | 0.0734669i | ||||
\(541\) | −2.65653e10 | − | 1.93008e10i | −0.310116 | − | 0.225313i | 0.421830 | − | 0.906675i | \(-0.361388\pi\) |
−0.731946 | + | 0.681362i | \(0.761388\pi\) | |||||||
\(542\) | 3.63805e10 | − | 7.14008e10i | 0.421572 | − | 0.827381i | ||||
\(543\) | −2.13773e10 | + | 2.13773e10i | −0.245897 | + | 0.245897i | ||||
\(544\) | 7.28445e10 | − | 2.36686e10i | 0.831767 | − | 0.270257i | ||||
\(545\) | 9.90308e10 | − | 1.10228e11i | 1.12249 | − | 1.24942i | ||||
\(546\) | −3.46999e10 | + | 1.06795e11i | −0.390443 | + | 1.20166i | ||||
\(547\) | 1.58658e10 | − | 8.08402e9i | 0.177220 | − | 0.0902980i | −0.363130 | − | 0.931738i | \(-0.618292\pi\) |
0.540350 | + | 0.841440i | \(0.318292\pi\) | |||||||
\(548\) | −7.79607e9 | + | 4.92224e10i | −0.0864477 | + | 0.545809i | ||||
\(549\) | − | 2.97447e10i | − | 0.327432i | ||||||
\(550\) | −8.98098e10 | + | 2.42762e10i | −0.981461 | + | 0.265296i | ||||
\(551\) | −2.79308e10 | −0.303024 | ||||||||
\(552\) | −1.69692e11 | − | 2.68765e10i | −1.82770 | − | 0.289479i | ||||
\(553\) | −7.58748e10 | − | 1.48913e11i | −0.811329 | − | 1.59232i | ||||
\(554\) | 8.42620e10 | + | 2.73784e10i | 0.894525 | + | 0.290649i | ||||
\(555\) | 1.66730e10 | − | 9.65062e9i | 0.175728 | − | 0.101715i | ||||
\(556\) | 6.76423e9 | + | 2.08181e10i | 0.0707814 | + | 0.217843i | ||||
\(557\) | −8.86213e10 | − | 8.86213e10i | −0.920698 | − | 0.920698i | 0.0763806 | − | 0.997079i | \(-0.475664\pi\) |
−0.997079 | + | 0.0763806i | \(0.975664\pi\) | |||||||
\(558\) | −1.64475e9 | − | 8.38040e8i | −0.0169653 | − | 0.00864426i | ||||
\(559\) | −7.12118e10 | + | 9.80147e10i | −0.729298 | + | 1.00379i | ||||
\(560\) | 1.31528e9 | + | 2.45799e10i | 0.0133741 | + | 0.249935i | ||||
\(561\) | 1.70584e11 | − | 1.23937e11i | 1.72222 | − | 1.25126i | ||||
\(562\) | −6.51643e9 | − | 4.11431e10i | −0.0653228 | − | 0.412432i | ||||
\(563\) | −5.39356e10 | + | 8.54256e9i | −0.536836 | + | 0.0850265i | −0.418965 | − | 0.908002i | \(-0.637607\pi\) |
−0.117871 | + | 0.993029i | \(0.537607\pi\) | |||||||
\(564\) | −5.74824e10 | − | 7.91178e10i | −0.568092 | − | 0.781912i | ||||
\(565\) | 9.40262e10 | − | 5.03137e9i | 0.922689 | − | 0.0493733i | ||||
\(566\) | −7.89461e10 | − | 5.73577e10i | −0.769245 | − | 0.558889i | ||||
\(567\) | 7.17870e10 | − | 1.40890e11i | 0.694566 | − | 1.36316i | ||||
\(568\) | 4.70344e10 | − | 4.70344e10i | 0.451879 | − | 0.451879i | ||||
\(569\) | −1.92000e11 | + | 6.23846e10i | −1.83169 | + | 0.595153i | −0.832541 | + | 0.553963i | \(0.813115\pi\) |
−0.999151 | + | 0.0411898i | \(0.986885\pi\) | |||||||
\(570\) | −1.16657e10 | − | 2.01543e10i | −0.110512 | − | 0.190928i | ||||
\(571\) | 7.93540e9 | − | 2.44226e10i | 0.0746490 | − | 0.229746i | −0.906769 | − | 0.421628i | \(-0.861459\pi\) |
0.981418 | + | 0.191882i | \(0.0614589\pi\) | |||||||
\(572\) | 1.51865e11 | − | 7.73791e10i | 1.41865 | − | 0.722836i | ||||
\(573\) | −4.03246e10 | + | 2.54600e11i | −0.374069 | + | 2.36178i | ||||
\(574\) | 7.34715e10i | 0.676817i | ||||||||
\(575\) | 5.66272e10 | − | 1.48494e11i | 0.518029 | − | 1.35843i | ||||
\(576\) | −3.64267e10 | −0.330925 | ||||||||
\(577\) | 1.50337e11 | + | 2.38110e10i | 1.35632 | + | 0.214820i | 0.791892 | − | 0.610661i | \(-0.209096\pi\) |
0.564430 | + | 0.825481i | \(0.309096\pi\) | |||||||
\(578\) | −7.96476e9 | − | 1.56317e10i | −0.0713610 | − | 0.140054i | ||||
\(579\) | −2.39298e10 | − | 7.77527e9i | −0.212924 | − | 0.0691833i | ||||
\(580\) | −6.04654e10 | − | 5.43230e10i | −0.534312 | − | 0.480034i | ||||
\(581\) | 2.89669e10 | + | 8.91509e10i | 0.254213 | + | 0.782387i | ||||
\(582\) | 4.10190e10 | + | 4.10190e10i | 0.357514 | + | 0.357514i | ||||
\(583\) | 2.46735e11 | + | 1.25718e11i | 2.13578 | + | 1.08823i | ||||
\(584\) | 4.19970e10 | − | 5.78039e10i | 0.361049 | − | 0.496942i | ||||
\(585\) | −6.74964e10 | + | 1.04186e11i | −0.576311 | + | 0.889581i | ||||
\(586\) | 7.86424e10 | − | 5.71370e10i | 0.666908 | − | 0.484537i | ||||
\(587\) | −1.36335e9 | − | 8.60787e9i | −0.0114830 | − | 0.0725009i | 0.981281 | − | 0.192580i | \(-0.0616853\pi\) |
−0.992764 | + | 0.120079i | \(0.961685\pi\) | |||||||
\(588\) | −9.64447e10 | + | 1.52753e10i | −0.806806 | + | 0.127785i | ||||
\(589\) | −8.39593e8 | − | 1.15560e9i | −0.00697602 | − | 0.00960167i | ||||
\(590\) | −4.78176e10 | + | 3.88090e10i | −0.394620 | + | 0.320276i | ||||
\(591\) | −7.93682e10 | − | 5.76644e10i | −0.650574 | − | 0.472670i | ||||
\(592\) | 1.52466e9 | − | 2.99232e9i | 0.0124133 | − | 0.0243624i | ||||
\(593\) | −6.80100e10 | + | 6.80100e10i | −0.549989 | + | 0.549989i | −0.926438 | − | 0.376449i | \(-0.877145\pi\) |
0.376449 | + | 0.926438i | \(0.377145\pi\) | |||||||
\(594\) | 2.33255e10 | − | 7.57892e9i | 0.187364 | − | 0.0608782i | ||||
\(595\) | −1.41254e11 | + | 3.01869e10i | −1.12703 | + | 0.240852i | ||||
\(596\) | 1.04520e9 | − | 3.21680e9i | 0.00828353 | − | 0.0254941i | ||||
\(597\) | 1.10790e11 | − | 5.64503e10i | 0.872175 | − | 0.444395i | ||||
\(598\) | 1.97714e10 | − | 1.24832e11i | 0.154608 | − | 0.976157i | ||||
\(599\) | − | 1.38613e11i | − | 1.07671i | −0.842719 | − | 0.538353i | \(-0.819047\pi\) | ||
0.842719 | − | 0.538353i | \(-0.180953\pi\) | |||||||
\(600\) | 3.39415e10 | − | 1.61427e11i | 0.261894 | − | 1.24558i | ||||
\(601\) | −2.06457e11 | −1.58246 | −0.791228 | − | 0.611521i | \(-0.790558\pi\) | ||||
−0.791228 | + | 0.611521i | \(0.790558\pi\) | |||||||
\(602\) | 9.77245e10 | + | 1.54780e10i | 0.744076 | + | 0.117850i | ||||
\(603\) | 1.22345e10 | + | 2.40115e10i | 0.0925373 | + | 0.181615i | ||||
\(604\) | 6.29507e9 | + | 2.04539e9i | 0.0472991 | + | 0.0153684i | ||||
\(605\) | −1.31267e11 | + | 2.95704e11i | −0.979790 | + | 2.20717i | ||||
\(606\) | 1.45763e10 | + | 4.48614e10i | 0.108083 | + | 0.332646i | ||||
\(607\) | 7.55059e10 | + | 7.55059e10i | 0.556193 | + | 0.556193i | 0.928222 | − | 0.372028i | \(-0.121337\pi\) |
−0.372028 | + | 0.928222i | \(0.621337\pi\) | |||||||
\(608\) | −3.70649e10 | − | 1.88855e10i | −0.271237 | − | 0.138202i | ||||
\(609\) | 1.54792e11 | − | 2.13053e11i | 1.12533 | − | 1.54889i | ||||
\(610\) | −2.71333e10 | + | 1.04497e10i | −0.195967 | + | 0.0754721i | ||||
\(611\) | 1.41668e11 | − | 1.02928e11i | 1.01650 | − | 0.738532i | ||||
\(612\) | 1.10945e10 | + | 7.00479e10i | 0.0790864 | + | 0.499332i | ||||
\(613\) | −4.70070e10 | + | 7.44518e9i | −0.332905 | + | 0.0527270i | −0.320650 | − | 0.947198i | \(-0.603901\pi\) |
−0.0122557 | + | 0.999925i | \(0.503901\pi\) | |||||||
\(614\) | −2.84251e10 | − | 3.91238e10i | −0.199999 | − | 0.275275i | ||||
\(615\) | −4.53414e10 | + | 1.69964e11i | −0.316953 | + | 1.18811i | ||||
\(616\) | −2.74107e11 | − | 1.99150e11i | −1.90369 | − | 1.38311i | ||||
\(617\) | −1.12400e9 | + | 2.20597e9i | −0.00775578 | + | 0.0152216i | −0.894852 | − | 0.446363i | \(-0.852719\pi\) |
0.887096 | + | 0.461585i | \(0.152719\pi\) | |||||||
\(618\) | −9.34101e10 | + | 9.34101e10i | −0.640383 | + | 0.640383i | ||||
\(619\) | −5.82945e10 | + | 1.89410e10i | −0.397068 | + | 0.129015i | −0.500743 | − | 0.865596i | \(-0.666940\pi\) |
0.103675 | + | 0.994611i | \(0.466940\pi\) | |||||||
\(620\) | 4.29970e8 | − | 4.13461e9i | 0.00290985 | − | 0.0279813i | ||||
\(621\) | −1.29468e10 | + | 3.98462e10i | −0.0870555 | + | 0.267929i | ||||
\(622\) | −3.88231e10 | + | 1.97814e10i | −0.259376 | + | 0.132158i | ||||
\(623\) | −4.97870e9 | + | 3.14343e10i | −0.0330494 | + | 0.208666i | ||||
\(624\) | 4.68682e10i | 0.309129i | ||||||||
\(625\) | 1.39668e11 | + | 6.14495e10i | 0.915325 | + | 0.402715i | ||||
\(626\) | −4.91471e9 | −0.0320037 | ||||||||
\(627\) | −1.13108e11 | − | 1.79145e10i | −0.731850 | − | 0.115914i | ||||
\(628\) | −1.96782e10 | − | 3.86206e10i | −0.126516 | − | 0.248302i | ||||
\(629\) | 1.87427e10 | + | 6.08987e9i | 0.119737 | + | 0.0389050i | ||||
\(630\) | 1.00837e11 | + | 1.04864e10i | 0.640118 | + | 0.0665676i | ||||
\(631\) | −4.97976e10 | − | 1.53261e11i | −0.314117 | − | 0.966752i | −0.976116 | − | 0.217248i | \(-0.930292\pi\) |
0.662000 | − | 0.749504i | \(-0.269708\pi\) | |||||||
\(632\) | 1.38061e11 | + | 1.38061e11i | 0.865373 | + | 0.865373i | ||||
\(633\) | −2.28729e10 | − | 1.16543e10i | −0.142464 | − | 0.0725893i | ||||
\(634\) | −6.29209e10 | + | 8.66032e10i | −0.389438 | + | 0.536015i | ||||
\(635\) | 8.41864e10 | + | 2.24585e10i | 0.517782 | + | 0.138129i | ||||
\(636\) | −1.63194e11 | + | 1.18567e11i | −0.997413 | + | 0.724663i | ||||
\(637\) | −2.73520e10 | − | 1.72694e11i | −0.166124 | − | 1.04886i | ||||
\(638\) | 1.71378e11 | − | 2.71436e10i | 1.03436 | − | 0.163827i | ||||
\(639\) | 5.75312e10 | + | 7.91849e10i | 0.345064 | + | 0.474940i | ||||
\(640\) | −4.95973e10 | − | 1.28782e11i | −0.295623 | − | 0.767601i | ||||
\(641\) | 1.86972e11 | + | 1.35843e11i | 1.10750 | + | 0.804648i | 0.982269 | − | 0.187479i | \(-0.0600315\pi\) |
0.125235 | + | 0.992127i | \(0.460032\pi\) | |||||||
\(642\) | 3.65178e10 | − | 7.16702e10i | 0.214963 | − | 0.421889i | ||||
\(643\) | 9.29282e10 | − | 9.29282e10i | 0.543630 | − | 0.543630i | −0.380961 | − | 0.924591i | \(-0.624407\pi\) |
0.924591 | + | 0.380961i | \(0.124407\pi\) | |||||||
\(644\) | 2.26146e11 | − | 7.34792e10i | 1.31476 | − | 0.427190i | ||||
\(645\) | 2.16517e11 | + | 9.61143e10i | 1.25099 | + | 0.555328i | ||||
\(646\) | 7.36143e9 | − | 2.26562e10i | 0.0422700 | − | 0.130094i | ||||
\(647\) | −2.11287e11 | + | 1.07656e11i | −1.20575 | + | 0.614358i | −0.937161 | − | 0.348898i | \(-0.886556\pi\) |
−0.268585 | + | 0.963256i | \(0.586556\pi\) | |||||||
\(648\) | −2.88980e10 | + | 1.82455e11i | −0.163896 | + | 1.03480i | ||||
\(649\) | 3.02852e11i | 1.70707i | ||||||||
\(650\) | 1.18751e11 | + | 2.49686e10i | 0.665251 | + | 0.139875i | ||||
\(651\) | 1.34678e10 | 0.0749848 | ||||||||
\(652\) | 7.77158e10 | + | 1.23090e10i | 0.430050 | + | 0.0681132i | ||||
\(653\) | 3.20090e10 | + | 6.28211e10i | 0.176043 | + | 0.345504i | 0.962121 | − | 0.272624i | \(-0.0878914\pi\) |
−0.786078 | + | 0.618128i | \(0.787891\pi\) | |||||||
\(654\) | −2.19141e11 | − | 7.12033e10i | −1.19788 | − | 0.389215i | ||||
\(655\) | 5.05379e10 | + | 2.36483e11i | 0.274569 | + | 1.28480i | ||||
\(656\) | 9.47620e9 | + | 2.91648e10i | 0.0511704 | + | 0.157486i | ||||
\(657\) | 7.43427e10 | + | 7.43427e10i | 0.399004 | + | 0.399004i | ||||
\(658\) | −1.27423e11 | − | 6.49250e10i | −0.679740 | − | 0.346345i | ||||
\(659\) | 1.30949e11 | − | 1.80236e11i | 0.694321 | − | 0.955651i | −0.305673 | − | 0.952137i | \(-0.598881\pi\) |
0.999994 | − | 0.00351404i | \(-0.00111856\pi\) | |||||||
\(660\) | −2.10016e11 | − | 2.58766e11i | −1.10682 | − | 1.36374i | ||||
\(661\) | 2.03244e11 | − | 1.47665e11i | 1.06466 | − | 0.773522i | 0.0897163 | − | 0.995967i | \(-0.471404\pi\) |
0.974945 | + | 0.222446i | \(0.0714040\pi\) | |||||||
\(662\) | 2.75155e10 | + | 1.73726e11i | 0.143267 | + | 0.904552i | ||||
\(663\) | −2.71642e11 | + | 4.30239e10i | −1.40586 | + | 0.222667i | ||||
\(664\) | −6.43686e10 | − | 8.85958e10i | −0.331133 | − | 0.455765i | ||||
\(665\) | 6.58402e10 | + | 4.26543e10i | 0.336670 | + | 0.218110i | ||||
\(666\) | −1.11903e10 | − | 8.13023e9i | −0.0568781 | − | 0.0413243i | ||||
\(667\) | −1.34566e11 | + | 2.64102e11i | −0.679882 | + | 1.33434i | ||||
\(668\) | 6.95080e10 | − | 6.95080e10i | 0.349083 | − | 0.349083i | ||||
\(669\) | 2.84261e11 | − | 9.23621e10i | 1.41910 | − | 0.461094i | ||||
\(670\) | 1.76053e10 | − | 1.95960e10i | 0.0873665 | − | 0.0972451i | ||||
\(671\) | −4.41851e10 | + | 1.35988e11i | −0.217965 | + | 0.670826i | ||||
\(672\) | 3.49470e11 | − | 1.78064e11i | 1.71369 | − | 0.873169i | ||||
\(673\) | −5.65447e10 | + | 3.57009e11i | −0.275633 | + | 1.74028i | 0.329500 | + | 0.944156i | \(0.393120\pi\) |
−0.605133 | + | 0.796124i | \(0.706880\pi\) | |||||||
\(674\) | − | 9.35598e10i | − | 0.453367i | ||||||
\(675\) | −3.75859e10 | − | 1.43331e10i | −0.181055 | − | 0.0690441i | ||||
\(676\) | −7.66998e10 | −0.367289 | ||||||||
\(677\) | −1.75506e11 | − | 2.77975e10i | −0.835484 | − | 0.132328i | −0.275989 | − | 0.961161i | \(-0.589005\pi\) |
−0.559496 | + | 0.828833i | \(0.689005\pi\) | |||||||
\(678\) | −6.64729e10 | − | 1.30460e11i | −0.314576 | − | 0.617390i | ||||
\(679\) | −1.85859e11 | − | 6.03892e10i | −0.874387 | − | 0.284106i | ||||
\(680\) | 1.46046e11 | − | 8.45340e10i | 0.683053 | − | 0.395363i | ||||
\(681\) | −1.68818e10 | − | 5.19569e10i | −0.0784930 | − | 0.241577i | ||||
\(682\) | 6.27460e9 | + | 6.27460e9i | 0.0290034 | + | 0.0290034i | ||||
\(683\) | −1.55885e11 | − | 7.94273e10i | −0.716343 | − | 0.364995i | 0.0575230 | − | 0.998344i | \(-0.481680\pi\) |
−0.773866 | + | 0.633349i | \(0.781680\pi\) | |||||||
\(684\) | 2.26404e10 | − | 3.11619e10i | 0.103433 | − | 0.142364i | ||||
\(685\) | 9.32339e9 | + | 1.74235e11i | 0.0423459 | + | 0.791360i | ||||
\(686\) | 1.88922e10 | − | 1.37260e10i | 0.0853073 | − | 0.0619794i | ||||
\(687\) | −1.22126e10 | − | 7.71071e10i | −0.0548251 | − | 0.346152i | ||||
\(688\) | 4.07884e10 | − | 6.46024e9i | 0.182047 | − | 0.0288333i | ||||
\(689\) | −2.12307e11 | − | 2.92215e11i | −0.942078 | − | 1.29666i | ||||
\(690\) | −2.46774e11 | + | 1.32049e10i | −1.08869 | + | 0.0582559i | ||||
\(691\) | −1.64637e11 | − | 1.19616e11i | −0.722131 | − | 0.524659i | 0.164933 | − | 0.986305i | \(-0.447259\pi\) |
−0.887064 | + | 0.461646i | \(0.847259\pi\) | |||||||
\(692\) | −3.01839e10 | + | 5.92391e10i | −0.131629 | + | 0.258336i | ||||
\(693\) | 3.52534e11 | − | 3.52534e11i | 1.52851 | − | 1.52851i | ||||
\(694\) | 3.36881e10 | − | 1.09459e10i | 0.145224 | − | 0.0471862i | ||||
\(695\) | 3.83925e10 | + | 6.63292e10i | 0.164553 | + | 0.284292i | ||||
\(696\) | −9.50713e10 | + | 2.92599e11i | −0.405147 | + | 1.24691i | ||||
\(697\) | −1.60336e11 | + | 8.16954e10i | −0.679361 | + | 0.346152i | ||||
\(698\) | −2.48395e10 | + | 1.56830e11i | −0.104646 | + | 0.660707i | ||||
\(699\) | − | 3.17694e11i | − | 1.33076i | ||||||
\(700\) | 5.95737e10 | + | 2.20392e11i | 0.248120 | + | 0.917919i | ||||
\(701\) | −2.98259e11 | −1.23516 | −0.617578 | − | 0.786510i | \(-0.711886\pi\) | ||||
−0.617578 | + | 0.786510i | \(0.711886\pi\) | |||||||
\(702\) | −3.15966e10 | − | 5.00441e9i | −0.130104 | − | 0.0206065i | ||||
\(703\) | −4.85918e9 | − | 9.53669e9i | −0.0198949 | − | 0.0390460i | ||||
\(704\) | 1.66536e11 | + | 5.41110e10i | 0.677983 | + | 0.220290i | ||||
\(705\) | −2.54703e11 | − | 2.28829e11i | −1.03104 | − | 0.926306i | ||||
\(706\) | 1.49273e9 | + | 4.59415e9i | 0.00600845 | + | 0.0184921i | ||||
\(707\) | −1.12364e11 | − | 1.12364e11i | −0.449728 | − | 0.449728i | ||||
\(708\) | −1.96566e11 | − | 1.00155e11i | −0.782303 | − | 0.398603i | ||||
\(709\) | 1.66195e10 | − | 2.28748e10i | 0.0657709 | − | 0.0905258i | −0.774864 | − | 0.632128i | \(-0.782182\pi\) |
0.840635 | + | 0.541602i | \(0.182182\pi\) | |||||||
\(710\) | 5.20214e10 | − | 8.02991e10i | 0.204715 | − | 0.315993i | ||||
\(711\) | −2.32433e11 | + | 1.68873e11i | −0.909537 | + | 0.660817i | ||||
\(712\) | −5.81637e9 | − | 3.67231e10i | −0.0226325 | − | 0.142896i | ||||
\(713\) | −1.49719e10 | + | 2.37131e9i | −0.0579320 | + | 0.00917552i | ||||
\(714\) | 1.32022e11 | + | 1.81712e11i | 0.507987 | + | 0.699185i | ||||
\(715\) | 4.63347e11 | − | 3.76056e11i | 1.77289 | − | 1.43889i | ||||
\(716\) | 1.01979e11 | + | 7.40922e10i | 0.388025 | + | 0.281917i | ||||
\(717\) | 6.60131e10 | − | 1.29558e11i | 0.249778 | − | 0.490216i | ||||
\(718\) | −8.19200e9 | + | 8.19200e9i | −0.0308242 | + | 0.0308242i | ||||
\(719\) | 3.89061e11 | − | 1.26414e11i | 1.45580 | − | 0.473019i | 0.529017 | − | 0.848611i | \(-0.322561\pi\) |
0.926785 | + | 0.375593i | \(0.122561\pi\) | |||||||
\(720\) | 4.13803e10 | − | 8.84321e9i | 0.153980 | − | 0.0329064i | ||||
\(721\) | 1.37521e11 | − | 4.23245e11i | 0.508893 | − | 1.56621i | ||||
\(722\) | 1.21680e11 | − | 6.19989e10i | 0.447784 | − | 0.228158i | ||||
\(723\) | 3.70989e10 | − | 2.34233e11i | 0.135771 | − | 0.857226i | ||||
\(724\) | 4.88815e10i | 0.177906i | ||||||||
\(725\) | −2.46774e11 | − | 1.41752e11i | −0.893196 | − | 0.513071i | ||||
\(726\) | 5.03087e11 | 1.81091 | ||||||||
\(727\) | −1.19827e11 | − | 1.89787e10i | −0.428959 | − | 0.0679404i | −0.0617777 | − | 0.998090i | \(-0.519677\pi\) |
−0.367181 | + | 0.930150i | \(0.619677\pi\) | |||||||
\(728\) | 2.00634e11 | + | 3.93766e11i | 0.714297 | + | 1.40189i | ||||
\(729\) | −1.87577e11 | − | 6.09475e10i | −0.664156 | − | 0.215797i | ||||
\(730\) | 4.16982e10 | − | 9.39335e10i | 0.146834 | − | 0.330772i | ||||
\(731\) | 7.48855e10 | + | 2.30474e11i | 0.262258 | + | 0.807146i | ||||
\(732\) | −7.36504e10 | − | 7.36504e10i | −0.256526 | − | 0.256526i | ||||
\(733\) | −1.33435e11 | − | 6.79883e10i | −0.462224 | − | 0.235515i | 0.207341 | − | 0.978269i | \(-0.433519\pi\) |
−0.669564 | + | 0.742754i | \(0.733519\pi\) | |||||||
\(734\) | −1.62467e11 | + | 2.23617e11i | −0.559734 | + | 0.770407i | ||||
\(735\) | −3.19037e11 | + | 1.22869e11i | −1.09318 | + | 0.421012i | ||||
\(736\) | −3.57146e11 | + | 2.59482e11i | −1.21712 | + | 0.884291i | ||||
\(737\) | −2.02654e10 | − | 1.27951e11i | −0.0686887 | − | 0.433683i | ||||
\(738\) | 1.24747e11 | − | 1.97579e10i | 0.420537 | − | 0.0666064i | ||||
\(739\) | 1.30033e11 | + | 1.78974e11i | 0.435988 | + | 0.600086i | 0.969315 | − | 0.245824i | \(-0.0790584\pi\) |
−0.533327 | + | 0.845909i | \(0.679058\pi\) | |||||||
\(740\) | 8.02873e9 | − | 3.00959e10i | 0.0267744 | − | 0.100365i | ||||
\(741\) | 1.20844e11 | + | 8.77984e10i | 0.400823 | + | 0.291215i | ||||
\(742\) | −1.33919e11 | + | 2.62830e11i | −0.441800 | + | 0.867082i | ||||
\(743\) | 2.76423e10 | − | 2.76423e10i | 0.0907023 | − | 0.0907023i | −0.660300 | − | 0.751002i | \(-0.729571\pi\) |
0.751002 | + | 0.660300i | \(0.229571\pi\) | |||||||
\(744\) | −1.49637e10 | + | 4.86201e9i | −0.0488369 | + | 0.0158681i | ||||
\(745\) | 1.22490e9 | − | 1.17787e10i | 0.00397626 | − | 0.0382359i | ||||
\(746\) | −5.07465e10 | + | 1.56182e11i | −0.163852 | + | 0.504283i | ||||
\(747\) | 1.43579e11 | − | 7.31571e10i | 0.461114 | − | 0.234949i | ||||
\(748\) | 5.33324e10 | − | 3.36727e11i | 0.170367 | − | 1.07565i | ||||
\(749\) | 2.70978e11i | 0.861007i | ||||||||
\(750\) | −7.82572e8 | − | 2.37271e11i | −0.00247332 | − | 0.749895i | ||||
\(751\) | 3.67679e11 | 1.15587 | 0.577935 | − | 0.816083i | \(-0.303859\pi\) | ||||
0.577935 | + | 0.816083i | \(0.303859\pi\) | |||||||
\(752\) | −5.89547e10 | − | 9.33750e9i | −0.184352 | − | 0.0291984i | ||||
\(753\) | 9.28905e10 | + | 1.82308e11i | 0.288929 | + | 0.567056i | ||||
\(754\) | −2.15247e11 | − | 6.99380e10i | −0.665965 | − | 0.216385i | ||||
\(755\) | 2.30501e10 | + | 2.39704e9i | 0.0709390 | + | 0.00737714i | ||||
\(756\) | −1.85986e10 | − | 5.72406e10i | −0.0569368 | − | 0.175234i | ||||
\(757\) | 1.85895e11 | + | 1.85895e11i | 0.566087 | + | 0.566087i | 0.931030 | − | 0.364943i | \(-0.118912\pi\) |
−0.364943 | + | 0.931030i | \(0.618912\pi\) | |||||||
\(758\) | −2.56394e11 | − | 1.30639e11i | −0.776659 | − | 0.395727i | ||||
\(759\) | −7.14328e11 | + | 9.83187e11i | −2.15244 | + | 2.96257i | ||||
\(760\) | −8.85519e10 | − | 2.36231e10i | −0.265426 | − | 0.0708080i | ||||
\(761\) | 1.35108e11 | − | 9.81618e10i | 0.402850 | − | 0.292687i | −0.367851 | − | 0.929885i | \(-0.619906\pi\) |
0.770701 | + | 0.637197i | \(0.219906\pi\) | |||||||
\(762\) | −2.11949e10 | − | 1.33819e11i | −0.0628653 | − | 0.396916i | ||||
\(763\) | 7.66680e11 | − | 1.21430e11i | 2.26212 | − | 0.358285i | ||||
\(764\) | 2.44982e11 | + | 3.37188e11i | 0.719052 | + | 0.989690i | ||||
\(765\) | 8.92402e10 | + | 2.31717e11i | 0.260564 | + | 0.676569i | ||||
\(766\) | 4.57581e10 | + | 3.32452e10i | 0.132909 | + | 0.0965637i | ||||
\(767\) | 1.79338e11 | − | 3.51971e11i | 0.518193 | − | 1.01701i | ||||
\(768\) | −2.81088e11 | + | 2.81088e11i | −0.807974 | + | 0.807974i | ||||
\(769\) | −4.61375e11 | + | 1.49910e11i | −1.31931 | + | 0.428671i | −0.882259 | − | 0.470764i | \(-0.843978\pi\) |
−0.437055 | + | 0.899435i | \(0.643978\pi\) | |||||||
\(770\) | −4.45434e11 | − | 1.97734e11i | −1.26713 | − | 0.562494i | ||||
\(771\) | 1.26290e11 | − | 3.88682e11i | 0.357399 | − | 1.09996i | ||||
\(772\) | −3.62486e10 | + | 1.84696e10i | −0.102052 | + | 0.0519982i | ||||
\(773\) | −3.57432e10 | + | 2.25674e11i | −0.100110 | + | 0.632067i | 0.885707 | + | 0.464244i | \(0.153674\pi\) |
−0.985817 | + | 0.167823i | \(0.946326\pi\) | |||||||
\(774\) | − | 1.70088e11i | − | 0.473925i | ||||||
\(775\) | −1.55314e9 | − | 1.44710e10i | −0.00430529 | − | 0.0401135i | ||||
\(776\) | 2.28304e11 | 0.629602 | ||||||||
\(777\) | 9.96744e10 | + | 1.57869e10i | 0.273464 | + | 0.0433124i | ||||
\(778\) | 9.00144e10 | + | 1.76663e11i | 0.245693 | + | 0.482200i | ||||
\(779\) | 9.29497e10 | + | 3.02012e10i | 0.252405 | + | 0.0820114i | ||||
\(780\) | 9.08463e10 | + | 4.25099e11i | 0.245431 | + | 1.14845i | ||||
\(781\) | −1.45395e11 | − | 4.47481e11i | −0.390793 | − | 1.20274i | ||||
\(782\) | −1.78760e11 | − | 1.78760e11i | −0.478018 | − | 0.478018i | ||||
\(783\) | 6.68478e10 | + | 3.40607e10i | 0.177844 | + | 0.0906162i | ||||
\(784\) | −3.50315e10 | + | 4.82167e10i | −0.0927245 | + | 0.127624i | ||||
\(785\) | −9.56342e10 | − | 1.17833e11i | −0.251846 | − | 0.310305i | ||||
\(786\) | 3.04217e11 | − | 2.21026e11i | 0.797064 | − | 0.579101i | ||||
\(787\) | 4.44623e10 | + | 2.80724e11i | 0.115903 | + | 0.731780i | 0.975368 | + | 0.220586i | \(0.0707968\pi\) |
−0.859465 | + | 0.511195i | \(0.829203\pi\) | |||||||
\(788\) | −1.56670e11 | + | 2.48141e10i | −0.406332 | + | 0.0643567i | ||||
\(789\) | 3.43723e11 | + | 4.73094e11i | 0.886952 | + | 1.22079i | ||||
\(790\) | 2.35704e11 | + | 1.52700e11i | 0.605144 | + | 0.392040i | ||||
\(791\) | 3.99054e11 | + | 2.89930e11i | 1.01936 | + | 0.740605i | ||||
\(792\) | −2.64423e11 | + | 5.18959e11i | −0.672045 | + | 1.31896i | ||||
\(793\) | 1.31879e11 | − | 1.31879e11i | 0.333489 | − | 0.333489i | ||||
\(794\) | −1.17239e10 | + | 3.80932e9i | −0.0294978 | + | 0.00958442i | ||||
\(795\) | −4.71998e11 | + | 5.25367e11i | −1.18160 | + | 1.31521i | ||||
\(796\) | 6.21268e10 | − | 1.91207e11i | 0.154749 | − | 0.476268i | ||||
\(797\) | −3.45657e11 | + | 1.76121e11i | −0.856667 | + | 0.436494i | −0.826423 | − | 0.563049i | \(-0.809628\pi\) |
−0.0302433 | + | 0.999543i | \(0.509628\pi\) | |||||||
\(798\) | 1.90832e10 | − | 1.20486e11i | 0.0470586 | − | 0.297116i | ||||
\(799\) | − | 3.50265e11i | − | 0.859429i | ||||||
\(800\) | −2.31628e11 | − | 3.54965e11i | −0.565499 | − | 0.866614i | ||||
\(801\) | 5.47109e10 | 0.132906 | ||||||||
\(802\) | 2.04605e11 | + | 3.24062e10i | 0.494559 | + | 0.0783304i | ||||
\(803\) | −2.29448e11 | − | 4.50316e11i | −0.551851 | − | 1.08307i | ||||
\(804\) | 8.97482e10 | + | 2.91610e10i | 0.214784 | + | 0.0697875i | ||||
\(805\) | 7.20528e11 | − | 4.17054e11i | 1.71580 | − | 0.993136i | ||||
\(806\) | −3.57667e9 | − | 1.10079e10i | −0.00847499 | − | 0.0260833i | ||||
\(807\) | −3.39152e11 | − | 3.39152e11i | −0.799650 | − | 0.799650i | ||||
\(808\) | 1.65409e11 | + | 8.42801e10i | 0.388073 | + | 0.197733i | ||||
\(809\) | 3.13975e11 | − | 4.32150e11i | 0.732995 | − | 1.00888i | −0.265996 | − | 0.963974i | \(-0.585701\pi\) |
0.998991 | − | 0.0449072i | \(-0.0142992\pi\) | |||||||
\(810\) | 1.41981e10 | + | 2.65334e11i | 0.0329830 | + | 0.616386i | ||||
\(811\) | −3.38780e11 | + | 2.46138e11i | −0.783130 | + | 0.568978i | −0.905917 | − | 0.423456i | \(-0.860817\pi\) |
0.122786 | + | 0.992433i | \(0.460817\pi\) | |||||||
\(812\) | −6.66102e10 | − | 4.20560e11i | −0.153220 | − | 0.967395i | ||||
\(813\) | 9.92685e11 | − | 1.57226e11i | 2.27221 | − | 0.359883i | ||||
\(814\) | 3.90829e10 | + | 5.37929e10i | 0.0890202 | + | 0.122526i | ||||
\(815\) | 2.75095e11 | − | 1.47204e10i | 0.623522 | − | 0.0333649i | ||||
\(816\) | 7.58434e10 | + | 5.51034e10i | 0.171063 | + | 0.124285i | ||||
\(817\) | 5.97521e10 | − | 1.17270e11i | 0.134111 | − | 0.263208i | ||||
\(818\) | −1.64291e10 | + | 1.64291e10i | −0.0366944 | + | 0.0366944i | ||||
\(819\) | −6.18469e11 | + | 2.00953e11i | −1.37462 | + | 0.446641i | ||||
\(820\) | 1.42481e11 | + | 2.46159e11i | 0.315139 | + | 0.544453i | ||||
\(821\) | 2.11374e10 | − | 6.50542e10i | 0.0465241 | − | 0.143187i | −0.925096 | − | 0.379733i | \(-0.876016\pi\) |
0.971620 | + | 0.236547i | \(0.0760157\pi\) | |||||||
\(822\) | 2.41750e11 | − | 1.23178e11i | 0.529516 | − | 0.269802i | ||||
\(823\) | −8.73254e10 | + | 5.51351e11i | −0.190345 | + | 1.20179i | 0.688698 | + | 0.725048i | \(0.258182\pi\) |
−0.879043 | + | 0.476742i | \(0.841818\pi\) | |||||||
\(824\) | 5.19902e11i | 1.12775i | ||||||||
\(825\) | −9.08408e11 | − | 7.32313e11i | −1.96094 | − | 1.58081i | ||||
\(826\) | −3.22609e11 | −0.693036 | ||||||||
\(827\) | −9.47217e10 | − | 1.50024e10i | −0.202501 | − | 0.0320730i | 0.0543597 | − | 0.998521i | \(-0.482688\pi\) |
−0.256861 | + | 0.966448i | \(0.582688\pi\) | |||||||
\(828\) | −1.85575e11 | − | 3.64211e11i | −0.394819 | − | 0.774875i | ||||
\(829\) | −6.64535e11 | − | 2.15920e11i | −1.40702 | − | 0.457168i | −0.495564 | − | 0.868571i | \(-0.665039\pi\) |
−0.911453 | + | 0.411404i | \(0.865039\pi\) | |||||||
\(830\) | −1.17176e11 | − | 1.05272e11i | −0.246902 | − | 0.221821i | ||||
\(831\) | 3.43382e11 | + | 1.05682e12i | 0.720067 | + | 2.21614i | ||||
\(832\) | −1.61504e11 | − | 1.61504e11i | −0.337047 | − | 0.337047i | ||||
\(833\) | −3.11616e11 | − | 1.58776e11i | −0.647202 | − | 0.329766i | ||||
\(834\) | 7.00481e10 | − | 9.64130e10i | 0.144788 | − | 0.199283i | ||||
\(835\) | 1.87127e11 | − | 2.88845e11i | 0.384938 | − | 0.594182i | ||||
\(836\) | −1.49798e11 | + | 1.08835e11i | −0.306678 | + | 0.222814i | ||||
\(837\) | 6.00212e8 | + | 3.78959e9i | 0.00122293 | + | 0.00772130i | ||||
\(838\) | 4.23377e11 | − | 6.70563e10i | 0.858521 | − | 0.135976i | ||||
\(839\) | −1.16738e11 | − | 1.60676e11i | −0.235593 | − | 0.324267i | 0.674807 | − | 0.737994i | \(-0.264227\pi\) |
−0.910401 | + | 0.413727i | \(0.864227\pi\) | |||||||
\(840\) | 6.70948e11 | − | 5.44545e11i | 1.34763 | − | 1.09375i | ||||
\(841\) | 2.47037e10 | + | 1.79483e10i | 0.0493832 | + | 0.0358790i | ||||
\(842\) | 1.85740e11 | − | 3.64535e11i | 0.369536 | − | 0.725254i | ||||
\(843\) | 3.69430e11 | − | 3.69430e11i | 0.731513 | − | 0.731513i | ||||
\(844\) | −3.94752e10 | + | 1.28263e10i | −0.0777954 | + | 0.0252773i | ||||
\(845\) | −2.62610e11 | + | 5.61213e10i | −0.515091 | + | 0.110078i | ||||
\(846\) | −7.59693e10 | + | 2.33809e11i | −0.148305 | + | 0.456436i | ||||
\(847\) | −1.51008e12 | + | 7.69425e11i | −2.93404 | + | 1.49497i | ||||
\(848\) | −1.92602e10 | + | 1.21604e11i | −0.0372458 | + | 0.235160i | ||||
\(849\) | − | 1.22389e12i | − | 2.35566i | ||||||
\(850\) | 1.80022e11 | − | 1.62811e11i | 0.344866 | − | 0.311894i | ||||
\(851\) | −1.13585e11 | −0.216573 | ||||||||
\(852\) | 3.38521e11 | + | 5.36164e10i | 0.642431 | + | 0.101751i | ||||
\(853\) | −2.54420e11 | − | 4.99327e11i | −0.480568 | − | 0.943168i | −0.996261 | − | 0.0863946i | \(-0.972465\pi\) |
0.515693 | − | 0.856774i | \(-0.327535\pi\) | |||||||
\(854\) | −1.44859e11 | − | 4.70675e10i | −0.272342 | − | 0.0884891i | ||||
\(855\) | 5.47167e10 | − | 1.23260e11i | 0.102389 | − | 0.230653i | ||||
\(856\) | −9.78255e10 | − | 3.01076e11i | −0.182204 | − | 0.560765i | ||||
\(857\) | 1.06174e11 | + | 1.06174e11i | 0.196832 | + | 0.196832i | 0.798640 | − | 0.601809i | \(-0.205553\pi\) |
−0.601809 | + | 0.798640i | \(0.705553\pi\) | |||||||
\(858\) | −8.26799e11 | − | 4.21275e11i | −1.52564 | − | 0.777350i | ||||
\(859\) | 1.02805e11 | − | 1.41499e11i | 0.188817 | − | 0.259884i | −0.704105 | − | 0.710096i | \(-0.748652\pi\) |
0.892922 | + | 0.450212i | \(0.148652\pi\) | |||||||
\(860\) | 3.57432e11 | − | 1.37657e11i | 0.653432 | − | 0.251654i | ||||
\(861\) | −7.45498e11 | + | 5.41636e11i | −1.35654 | + | 0.985586i | ||||
\(862\) | 3.90561e10 | + | 2.46590e11i | 0.0707391 | + | 0.446629i | ||||
\(863\) | −3.62126e11 | + | 5.73551e10i | −0.652854 | + | 0.103402i | −0.474071 | − | 0.880487i | \(-0.657216\pi\) |
−0.178783 | + | 0.983889i | \(0.557216\pi\) | |||||||
\(864\) | 6.56784e10 | + | 9.03986e10i | 0.117860 | + | 0.162221i | ||||
\(865\) | −6.00002e10 | + | 2.24913e11i | −0.107174 | + | 0.401744i | ||||
\(866\) | 3.08422e10 | + | 2.24082e10i | 0.0548371 | + | 0.0398415i | ||||
\(867\) | 9.98946e10 | − | 1.96054e11i | 0.176793 | − | 0.346976i | ||||
\(868\) | 1.53978e10 | − | 1.53978e10i | 0.0271257 | − | 0.0271257i | ||||
\(869\) | 1.31350e12 | − | 4.26783e11i | 2.30331 | − | 0.748390i | ||||
\(870\) | −4.57734e10 | + | 4.40160e11i | −0.0798981 | + | 0.768304i | ||||
\(871\) | −5.22157e10 | + | 1.60703e11i | −0.0907252 | + | 0.279224i | ||||
\(872\) | −8.08000e11 | + | 4.11696e11i | −1.39748 | + | 0.712051i | ||||
\(873\) | −5.25532e10 | + | 3.31808e11i | −0.0904778 | + | 0.571255i | ||||
\(874\) | 1.37302e11i | 0.235305i | ||||||||
\(875\) | 3.65234e11 | + | 7.11004e11i | 0.623073 | + | 1.21294i | ||||
\(876\) | 3.68157e11 | 0.625197 | ||||||||
\(877\) | 7.93231e11 | + | 1.25636e11i | 1.34092 | + | 0.212380i | 0.785329 | − | 0.619078i | \(-0.212494\pi\) |
0.555587 | + | 0.831459i | \(0.312494\pi\) | |||||||
\(878\) | 2.04434e11 | + | 4.01224e11i | 0.344013 | + | 0.675163i | ||||
\(879\) | 1.15951e12 | + | 3.76748e11i | 1.94231 | + | 0.631096i | ||||
\(880\) | −2.02320e11 | − | 2.10398e10i | −0.337371 | − | 0.0350842i | ||||
\(881\) | −2.87655e11 | − | 8.85311e11i | −0.477494 | − | 1.46958i | −0.842564 | − | 0.538596i | \(-0.818955\pi\) |
0.365070 | − | 0.930980i | \(-0.381045\pi\) | |||||||
\(882\) | 1.73573e11 | + | 1.73573e11i | 0.286819 | + | 0.286819i | ||||
\(883\) | −4.08333e11 | − | 2.08056e11i | −0.671694 | − | 0.342245i | 0.0846581 | − | 0.996410i | \(-0.473020\pi\) |
−0.756352 | + | 0.654165i | \(0.773020\pi\) | |||||||
\(884\) | −2.61380e11 | + | 3.59759e11i | −0.428020 | + | 0.589119i | ||||
\(885\) | −7.46299e11 | − | 1.99091e11i | −1.21658 | − | 0.324548i | ||||
\(886\) | 3.93234e11 | − | 2.85702e11i | 0.638141 | − | 0.463637i | ||||
\(887\) | 3.41261e10 | + | 2.15464e11i | 0.0551306 | + | 0.348081i | 0.999799 | + | 0.0200538i | \(0.00638375\pi\) |
−0.944668 | + | 0.328027i | \(0.893616\pi\) | |||||||
\(888\) | −1.16445e11 | + | 1.84430e10i | −0.187270 | + | 0.0296606i | ||||
\(889\) | 2.68283e11 | + | 3.69260e11i | 0.429523 | + | 0.591187i | ||||
\(890\) | −1.92207e10 | − | 4.99076e10i | −0.0306344 | − | 0.0795438i | ||||
\(891\) | 1.05713e12 | + | 7.68053e11i | 1.67733 | + | 1.21865i | ||||
\(892\) | 2.19399e11 | − | 4.30595e11i | 0.346558 | − | 0.680158i | ||||
\(893\) | −1.34516e11 | + | 1.34516e11i | −0.211528 | + | 0.211528i | ||||
\(894\) | −1.75132e10 | + | 5.69039e9i | −0.0274168 | + | 0.00890825i | ||||
\(895\) | 4.03377e11 | + | 1.79064e11i | 0.628664 | + | 0.279071i | ||||
\(896\) | 2.23395e11 | − | 6.87540e11i | 0.346611 | − | 1.06676i | ||||
\(897\) | 1.41239e12 | − | 7.19649e11i | 2.18165 | − | 1.11161i | ||||
\(898\) | 6.12756e10 | − | 3.86879e11i | 0.0942285 | − | 0.594935i | ||||
\(899\) | 2.71445e10i | 0.0415569i | ||||||||
\(900\) | 3.58182e11 | − | 1.60418e11i | 0.545926 | − | 0.244502i | ||||
\(901\) | −7.22481e11 | −1.09629 | ||||||||
\(902\) | −5.99671e11 | − | 9.49785e10i | −0.905913 | − | 0.143483i | ||||
\(903\) | 5.63378e11 | + | 1.10569e12i | 0.847323 | + | 1.66296i | ||||
\(904\) | −5.48045e11 | − | 1.78071e11i | −0.820621 | − | 0.266636i | ||||
\(905\) | 3.57666e10 | + | 1.67364e11i | 0.0533192 | + | 0.249498i | ||||
\(906\) | −1.11357e10 | − | 3.42722e10i | −0.0165274 | − | 0.0508663i | ||||
\(907\) | −2.04384e10 | − | 2.04384e10i | −0.0302007 | − | 0.0302007i | 0.691845 | − | 0.722046i | \(-0.256798\pi\) |
−0.722046 | + | 0.691845i | \(0.756798\pi\) | |||||||
\(908\) | −7.87036e10 | − | 4.01015e10i | −0.115785 | − | 0.0589953i | ||||
\(909\) | −1.60565e11 | + | 2.20999e11i | −0.235177 | + | 0.323694i | ||||
\(910\) | 4.00588e11 | + | 4.93574e11i | 0.584160 | + | 0.719758i | ||||
\(911\) | −6.35319e11 | + | 4.61586e11i | −0.922398 | + | 0.670161i | −0.944120 | − | 0.329603i | \(-0.893085\pi\) |
0.0217218 | + | 0.999764i | \(0.493085\pi\) | |||||||
\(912\) | −7.96495e9 | − | 5.02887e10i | −0.0115134 | − | 0.0726928i | ||||
\(913\) | −7.65091e11 | + | 1.21179e11i | −1.10111 | + | 0.174398i | ||||
\(914\) | −8.51404e10 | − | 1.17186e11i | −0.121998 | − | 0.167915i | ||||
\(915\) | −3.06059e11 | − | 1.98279e11i | −0.436638 | − | 0.282874i | ||||
\(916\) | −1.02120e11 | − | 7.41942e10i | −0.145053 | − | 0.105387i | ||||
\(917\) | −5.75107e11 | + | 1.12871e12i | −0.813339 | + | 1.59627i | ||||
\(918\) | −4.52467e10 | + | 4.52467e10i | −0.0637113 | + | 0.0637113i | ||||
\(919\) | 4.89651e11 | − | 1.59097e11i | 0.686474 | − | 0.223049i | 0.0550465 | − | 0.998484i | \(-0.482469\pi\) |
0.631428 | + | 0.775435i | \(0.282469\pi\) | |||||||
\(920\) | −6.49999e11 | + | 7.23495e11i | −0.907321 | + | 1.00991i | ||||
\(921\) | 1.87428e11 | − | 5.76845e11i | 0.260493 | − | 0.801716i | ||||
\(922\) | 5.22363e11 | − | 2.66157e11i | 0.722850 | − | 0.368311i | ||||
\(923\) | −9.60056e10 | + | 6.06155e11i | −0.132279 | + | 0.835174i | ||||
\(924\) | − | 1.74581e12i | − | 2.39502i | ||||||
\(925\) | 5.46809e9 | − | 1.08919e11i | 0.00746910 | − | 0.148777i | ||||
\(926\) | −1.85082e11 | −0.251722 | ||||||||
\(927\) | −7.55606e11 | − | 1.19676e11i | −1.02324 | − | 0.162065i | ||||
\(928\) | 3.58889e11 | + | 7.04360e11i | 0.483914 | + | 0.949736i | ||||
\(929\) | −3.02315e11 | − | 9.82280e10i | −0.405879 | − | 0.131878i | 0.0989604 | − | 0.995091i | \(-0.468448\pi\) |
−0.504839 | + | 0.863213i | \(0.668448\pi\) | |||||||
\(930\) | −1.95870e10 | + | 1.13373e10i | −0.0261839 | + | 0.0151557i | ||||
\(931\) | 5.86965e10 | + | 1.80649e11i | 0.0781292 | + | 0.240457i | ||||
\(932\) | −3.63221e11 | − | 3.63221e11i | −0.481402 | − | 0.481402i | ||||
\(933\) | −4.86923e11 | − | 2.48100e11i | −0.642590 | − | 0.327416i | ||||
\(934\) | −3.23089e11 | + | 4.44694e11i | −0.424556 | + | 0.584352i | ||||
\(935\) | −6.37807e10 | − | 1.19193e12i | −0.0834531 | − | 1.55957i | ||||
\(936\) | 6.14619e11 | − | 4.46546e11i | 0.800760 | − | 0.581786i | ||||
\(937\) | 1.58639e11 | + | 1.00161e12i | 0.205803 | + | 1.29939i | 0.846826 | + | 0.531870i | \(0.178510\pi\) |
−0.641023 | + | 0.767522i | \(0.721490\pi\) | |||||||
\(938\) | 1.36298e11 | − | 2.15874e10i | 0.176067 | − | 0.0278862i | ||||
\(939\) | −3.62315e10 | − | 4.98683e10i | −0.0466040 | − | 0.0641449i | ||||
\(940\) | −5.52824e11 | + | 2.95818e10i | −0.708069 | + | 0.0378889i | ||||
\(941\) | −7.24222e11 | − | 5.26178e11i | −0.923662 | − | 0.671080i | 0.0207709 | − | 0.999784i | \(-0.493388\pi\) |
−0.944433 | + | 0.328705i | \(0.893388\pi\) | |||||||
\(942\) | −1.07134e11 | + | 2.10262e11i | −0.136058 | + | 0.267028i | ||||
\(943\) | 7.33386e11 | − | 7.33386e11i | 0.927441 | − | 0.927441i | ||||
\(944\) | −1.28061e11 | + | 4.16094e10i | −0.161260 | + | 0.0523966i | ||||
\(945\) | −1.05562e11 | − | 1.82376e11i | −0.132367 | − | 0.228686i | ||||
\(946\) | −2.52662e11 | + | 7.77613e11i | −0.315482 | + | 0.970955i | ||||
\(947\) | 1.37104e12 | − | 6.98582e11i | 1.70471 | − | 0.868595i | 0.720097 | − | 0.693874i | \(-0.244097\pi\) |
0.984618 | − | 0.174722i | \(-0.0559025\pi\) | |||||||
\(948\) | −1.57381e11 | + | 9.93667e11i | −0.194859 | + | 1.23029i | ||||
\(949\) | 6.59223e11i | 0.812770i | ||||||||
\(950\) | −1.31661e11 | − | 6.60982e9i | −0.161646 | − | 0.00811513i | ||||
\(951\) | −1.34260e12 | −1.64144 | ||||||||
\(952\) | 8.73091e11 | + | 1.38284e11i | 1.06295 | + | 0.168354i | ||||
\(953\) | 2.45353e11 | + | 4.81533e11i | 0.297454 | + | 0.583787i | 0.990565 | − | 0.137044i | \(-0.0437603\pi\) |
−0.693111 | + | 0.720831i | \(0.743760\pi\) | |||||||
\(954\) | 4.82271e11 | + | 1.56699e11i | 0.582234 | + | 0.189179i | ||||
\(955\) | 1.08551e12 | + | 9.75235e11i | 1.30502 | + | 1.17245i | ||||
\(956\) | −7.26512e10 | − | 2.23598e11i | −0.0869784 | − | 0.267692i | ||||
\(957\) | 1.53883e12 | + | 1.53883e12i | 1.83460 | + | 1.83460i | ||||
\(958\) | 4.75550e11 | + | 2.42305e11i | 0.564591 | + | 0.287674i | ||||
\(959\) | −5.37255e11 | + | 7.39468e11i | −0.635193 | + | 0.874269i | ||||
\(960\) | −2.42821e11 | + | 3.74813e11i | −0.285892 | + | 0.441296i | ||||
\(961\) | 6.88880e11 | − | 5.00501e11i | 0.807700 | − | 0.586829i | ||||
\(962\) | −1.35674e10 | − | 8.56610e10i | −0.0158415 | − | 0.100019i | ||||
\(963\) | 4.60091e11 | − | 7.28713e10i | 0.534982 | − | 0.0847327i | ||||
\(964\) | −2.25385e11 | − | 3.10216e11i | −0.260986 | − | 0.359216i | ||||
\(965\) | −1.10596e11 | + | 8.97605e10i | −0.127535 | + | 0.103509i | ||||
\(966\) | −1.04733e12 | − | 7.60927e11i | −1.20274 | − | 0.873845i | ||||
\(967\) | 6.45414e11 | − | 1.26670e12i | 0.738130 | − | 1.44866i | −0.149817 | − | 0.988714i | \(-0.547868\pi\) |
0.887946 | − | 0.459947i | \(-0.152132\pi\) | |||||||
\(968\) | 1.40004e12 | − | 1.40004e12i | 1.59455 | − | 1.59455i | ||||
\(969\) | 2.84155e11 | − | 9.23277e10i | 0.322300 | − | 0.104722i | ||||
\(970\) | 3.21140e11 | − | 6.86295e10i | 0.362750 | − | 0.0775218i | ||||
\(971\) | −4.39648e11 | + | 1.35310e12i | −0.494571 | + | 1.52213i | 0.323054 | + | 0.946380i | \(0.395290\pi\) |
−0.817625 | + | 0.575751i | \(0.804710\pi\) | |||||||
\(972\) | −7.40642e11 | + | 3.77376e11i | −0.829742 | + | 0.422775i | ||||
\(973\) | −6.28039e10 | + | 3.96528e11i | −0.0700705 | + | 0.442408i | ||||
\(974\) | − | 8.77970e11i | − | 0.975538i | ||||||
\(975\) | 6.22091e11 | + | 1.38901e12i | 0.688391 | + | 1.53705i | ||||
\(976\) | −6.35729e10 | −0.0700604 | ||||||||
\(977\) | 5.49006e11 | + | 8.69540e10i | 0.602558 | + | 0.0954358i | 0.450258 | − | 0.892899i | \(-0.351332\pi\) |
0.152300 | + | 0.988334i | \(0.451332\pi\) | |||||||
\(978\) | −1.94481e11 | − | 3.81691e11i | −0.212580 | − | 0.417212i | ||||
\(979\) | −2.50129e11 | − | 8.12717e10i | −0.272291 | − | 0.0884726i | ||||
\(980\) | −2.24279e11 | + | 5.05233e11i | −0.243156 | + | 0.547757i | ||||
\(981\) | −4.12351e11 | − | 1.26908e12i | −0.445236 | − | 1.37030i | ||||
\(982\) | −5.69472e11 | − | 5.69472e11i | −0.612388 | − | 0.612388i | ||||
\(983\) | −1.44897e12 | − | 7.38289e11i | −1.55184 | − | 0.790701i | −0.552747 | − | 0.833349i | \(-0.686420\pi\) |
−0.999090 | + | 0.0426484i | \(0.986420\pi\) | |||||||
\(984\) | 6.32766e11 | − | 8.70928e11i | 0.674937 | − | 0.928971i | ||||
\(985\) | −5.18261e11 | + | 1.99596e11i | −0.550559 | + | 0.212034i | ||||
\(986\) | −3.66243e11 | + | 2.66091e11i | −0.387492 | + | 0.281529i | ||||
\(987\) | −2.80587e11 | − | 1.77156e12i | −0.295664 | − | 1.86675i | ||||
\(988\) | 2.38542e11 | − | 3.77814e10i | 0.250344 | − | 0.0396506i | ||||
\(989\) | −8.20977e11 | − | 1.12998e12i | −0.858115 | − | 1.18109i | ||||
\(990\) | −2.15944e11 | + | 8.09474e11i | −0.224802 | + | 0.842679i | ||||
\(991\) | −1.12706e12 | − | 8.18856e11i | −1.16856 | − | 0.849010i | −0.177726 | − | 0.984080i | \(-0.556874\pi\) |
−0.990836 | + | 0.135070i | \(0.956874\pi\) | |||||||
\(992\) | −1.83538e10 | + | 3.60214e10i | −0.0189531 | + | 0.0371975i | ||||
\(993\) | −1.55991e12 | + | 1.55991e12i | −1.60436 | + | 1.60436i | ||||
\(994\) | 4.76673e11 | − | 1.54880e11i | 0.488287 | − | 0.158654i | ||||
\(995\) | 7.28079e10 | − | 7.00125e11i | 0.0742825 | − | 0.714304i | ||||
\(996\) | 1.74370e11 | − | 5.36656e11i | 0.177188 | − | 0.545329i | ||||
\(997\) | 1.04103e12 | − | 5.30431e11i | 1.05362 | − | 0.536844i | 0.160670 | − | 0.987008i | \(-0.448635\pi\) |
0.892946 | + | 0.450164i | \(0.148635\pi\) | |||||||
\(998\) | −1.41761e11 | + | 8.95045e11i | −0.142901 | + | 0.902242i | ||||
\(999\) | 2.87501e10i | 0.0288654i |
(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 | 25.9.f.a.2.8 | ✓ | 152 | |
25.13 | odd | 20 | inner | 25.9.f.a.13.8 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.9.f.a.2.8 | ✓ | 152 | 1.1 | even | 1 | trivial | |
25.9.f.a.13.8 | yes | 152 | 25.13 | odd | 20 | inner |