Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,15,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 15, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 15);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 15 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.4060555413\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} + 5366534 x^{18} + 786490608 x^{17} + 19826027932115 x^{16} + \cdots + 13\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{76}\cdot 3^{12}\cdot 7^{14} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Root | \(-48.0702 - 83.2600i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.15.d.a.5.8 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 45.2548 | + | 78.3837i | 0.353553 | + | 0.612372i | ||||
\(3\) | −262.346 | − | 151.465i | −0.119957 | − | 0.0692571i | 0.438821 | − | 0.898574i | \(-0.355396\pi\) |
−0.558778 | + | 0.829317i | \(0.688730\pi\) | |||||||
\(4\) | −4096.00 | + | 7094.48i | −0.250000 | + | 0.433013i | ||||
\(5\) | 106192. | − | 61309.7i | 1.35925 | − | 0.784764i | 0.369729 | − | 0.929140i | \(-0.379451\pi\) |
0.989523 | + | 0.144376i | \(0.0461173\pi\) | |||||||
\(6\) | − | 27418.1i | − | 0.0979443i | ||||||
\(7\) | −789690. | + | 233694.i | −0.958893 | + | 0.283766i | ||||
\(8\) | −741455. | −0.353553 | ||||||||
\(9\) | −2.34560e6 | − | 4.06270e6i | −0.490407 | − | 0.849410i | ||||
\(10\) | 9.61136e6 | + | 5.54912e6i | 0.961136 | + | 0.554912i | ||||
\(11\) | 9.98984e6 | − | 1.73029e7i | 0.512637 | − | 0.887913i | −0.487256 | − | 0.873259i | \(-0.662002\pi\) |
0.999893 | − | 0.0146537i | \(-0.00466458\pi\) | |||||||
\(12\) | 2.14913e6 | − | 1.24080e6i | 0.0599784 | − | 0.0346285i | ||||
\(13\) | − | 4.33468e7i | − | 0.690801i | −0.938455 | − | 0.345401i | \(-0.887743\pi\) | ||
0.938455 | − | 0.345401i | \(-0.112257\pi\) | |||||||
\(14\) | −5.40551e7 | − | 5.13230e7i | −0.512791 | − | 0.486873i | ||||
\(15\) | −3.71452e7 | −0.217402 | ||||||||
\(16\) | −3.35544e7 | − | 5.81180e7i | −0.125000 | − | 0.216506i | ||||
\(17\) | 4.48694e8 | + | 2.59054e8i | 1.09347 | + | 0.631317i | 0.934499 | − | 0.355966i | \(-0.115848\pi\) |
0.158974 | + | 0.987283i | \(0.449181\pi\) | |||||||
\(18\) | 2.12300e8 | − | 3.67714e8i | 0.346770 | − | 0.600623i | ||||
\(19\) | 8.44187e8 | − | 4.87392e8i | 0.944417 | − | 0.545259i | 0.0530745 | − | 0.998591i | \(-0.483098\pi\) |
0.891342 | + | 0.453331i | \(0.149765\pi\) | |||||||
\(20\) | 1.00450e9i | 0.784764i | ||||||||
\(21\) | 2.42568e8 | + | 5.83021e7i | 0.134679 | + | 0.0323705i | ||||
\(22\) | 1.80835e9 | 0.724978 | ||||||||
\(23\) | −1.28289e9 | − | 2.22203e9i | −0.376786 | − | 0.652613i | 0.613806 | − | 0.789457i | \(-0.289638\pi\) |
−0.990593 | + | 0.136843i | \(0.956304\pi\) | |||||||
\(24\) | 1.94517e8 | + | 1.12305e8i | 0.0424111 | + | 0.0244861i | ||||
\(25\) | 4.46600e9 | − | 7.73534e9i | 0.731710 | − | 1.26736i | ||||
\(26\) | 3.39768e9 | − | 1.96165e9i | 0.423028 | − | 0.244235i | ||||
\(27\) | 2.87002e9i | 0.274371i | ||||||||
\(28\) | 1.57663e9 | − | 6.55965e9i | 0.116849 | − | 0.486155i | ||||
\(29\) | 3.33710e10 | 1.93457 | 0.967283 | − | 0.253700i | \(-0.0816476\pi\) | ||||
0.967283 | + | 0.253700i | \(0.0816476\pi\) | |||||||
\(30\) | −1.68100e9 | − | 2.91157e9i | −0.0768632 | − | 0.133131i | ||||
\(31\) | −3.94945e10 | − | 2.28021e10i | −1.43550 | − | 0.828788i | −0.437971 | − | 0.898989i | \(-0.644303\pi\) |
−0.997533 | + | 0.0702007i | \(0.977636\pi\) | |||||||
\(32\) | 3.03700e9 | − | 5.26024e9i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −5.24158e9 | + | 3.02623e9i | −0.122989 | + | 0.0710075i | ||||
\(34\) | 4.68938e10i | 0.892817i | ||||||||
\(35\) | −6.95307e10 | + | 7.32320e10i | −1.08069 | + | 1.13822i | ||||
\(36\) | 3.84303e10 | 0.490407 | ||||||||
\(37\) | −4.05505e10 | − | 7.02355e10i | −0.427153 | − | 0.739851i | 0.569466 | − | 0.822015i | \(-0.307150\pi\) |
−0.996619 | + | 0.0821641i | \(0.973817\pi\) | |||||||
\(38\) | 7.64071e10 | + | 4.41137e10i | 0.667803 | + | 0.385556i | ||||
\(39\) | −6.56553e9 | + | 1.13718e10i | −0.0478429 | + | 0.0828663i | ||||
\(40\) | −7.87363e10 | + | 4.54584e10i | −0.480568 | + | 0.277456i | ||||
\(41\) | 2.23592e11i | 1.14807i | 0.818830 | + | 0.574037i | \(0.194623\pi\) | ||||
−0.818830 | + | 0.574037i | \(0.805377\pi\) | |||||||
\(42\) | 6.40745e9 | + | 2.16518e10i | 0.0277933 | + | 0.0939182i | ||||
\(43\) | −3.64930e11 | −1.34255 | −0.671275 | − | 0.741208i | \(-0.734253\pi\) | ||||
−0.671275 | + | 0.741208i | \(0.734253\pi\) | |||||||
\(44\) | 8.18368e10 | + | 1.41745e11i | 0.256318 | + | 0.443956i | ||||
\(45\) | −4.98166e11 | − | 2.87616e11i | −1.33317 | − | 0.769708i | ||||
\(46\) | 1.16114e11 | − | 2.01116e11i | 0.266428 | − | 0.461467i | ||||
\(47\) | −3.54734e10 | + | 2.04806e10i | −0.0700194 | + | 0.0404257i | −0.534601 | − | 0.845105i | \(-0.679538\pi\) |
0.464582 | + | 0.885530i | \(0.346205\pi\) | |||||||
\(48\) | 2.03293e10i | 0.0346285i | ||||||||
\(49\) | 5.68997e11 | − | 3.69091e11i | 0.838953 | − | 0.544204i | ||||
\(50\) | 8.08433e11 | 1.03479 | ||||||||
\(51\) | −7.84753e10 | − | 1.35923e11i | −0.0874464 | − | 0.151462i | ||||
\(52\) | 3.07523e11 | + | 1.77548e11i | 0.299126 | + | 0.172700i | ||||
\(53\) | −4.00430e11 | + | 6.93564e11i | −0.340875 | + | 0.590413i | −0.984595 | − | 0.174848i | \(-0.944057\pi\) |
0.643721 | + | 0.765261i | \(0.277390\pi\) | |||||||
\(54\) | −2.24962e11 | + | 1.29882e11i | −0.168017 | + | 0.0970047i | ||||
\(55\) | − | 2.44990e12i | − | 1.60920i | ||||||
\(56\) | 5.85520e11 | − | 1.73274e11i | 0.339020 | − | 0.100327i | ||||
\(57\) | −2.95292e11 | −0.151052 | ||||||||
\(58\) | 1.51020e12 | + | 2.61574e12i | 0.683972 | + | 1.18467i | ||||
\(59\) | 8.72791e11 | + | 5.03906e11i | 0.350708 | + | 0.202481i | 0.664997 | − | 0.746846i | \(-0.268433\pi\) |
−0.314289 | + | 0.949327i | \(0.601766\pi\) | |||||||
\(60\) | 1.52147e11 | − | 2.63526e11i | 0.0543505 | − | 0.0941378i | ||||
\(61\) | 1.17721e12 | − | 6.79660e11i | 0.374579 | − | 0.216263i | −0.300878 | − | 0.953663i | \(-0.597280\pi\) |
0.675457 | + | 0.737399i | \(0.263946\pi\) | |||||||
\(62\) | − | 4.12763e12i | − | 1.17208i | ||||||
\(63\) | 2.80173e12 | + | 2.66012e12i | 0.711282 | + | 0.675332i | ||||
\(64\) | 5.49756e11 | 0.125000 | ||||||||
\(65\) | −2.65758e12 | − | 4.60306e12i | −0.542116 | − | 0.938973i | ||||
\(66\) | −4.74414e11 | − | 2.73903e11i | −0.0869660 | − | 0.0502099i | ||||
\(67\) | −2.43262e12 | + | 4.21342e12i | −0.401375 | + | 0.695202i | −0.993892 | − | 0.110356i | \(-0.964801\pi\) |
0.592517 | + | 0.805558i | \(0.298134\pi\) | |||||||
\(68\) | −3.67570e12 | + | 2.12217e12i | −0.546737 | + | 0.315659i | ||||
\(69\) | 7.77254e11i | 0.104381i | ||||||||
\(70\) | −8.88679e12 | − | 2.13597e12i | −1.07909 | − | 0.259363i | ||||
\(71\) | 4.67641e12 | 0.514167 | 0.257083 | − | 0.966389i | \(-0.417238\pi\) | ||||
0.257083 | + | 0.966389i | \(0.417238\pi\) | |||||||
\(72\) | 1.73916e12 | + | 3.01231e12i | 0.173385 | + | 0.300312i | ||||
\(73\) | −4.73238e12 | − | 2.73224e12i | −0.428371 | − | 0.247320i | 0.270282 | − | 0.962781i | \(-0.412883\pi\) |
−0.698652 | + | 0.715461i | \(0.746217\pi\) | |||||||
\(74\) | 3.67021e12 | − | 6.35699e12i | 0.302043 | − | 0.523154i | ||||
\(75\) | −2.34327e12 | + | 1.35289e12i | −0.175547 | + | 0.101352i | ||||
\(76\) | 7.98543e12i | 0.545259i | ||||||||
\(77\) | −3.84529e12 | + | 1.59985e13i | −0.239604 | + | 0.996883i | ||||
\(78\) | −1.18849e12 | −0.0676601 | ||||||||
\(79\) | −1.42899e12 | − | 2.47508e12i | −0.0744113 | − | 0.128884i | 0.826419 | − | 0.563056i | \(-0.190374\pi\) |
−0.900830 | + | 0.434172i | \(0.857041\pi\) | |||||||
\(80\) | −7.12639e12 | − | 4.11442e12i | −0.339813 | − | 0.196191i | ||||
\(81\) | −1.07842e13 | + | 1.86788e13i | −0.471405 | + | 0.816497i | ||||
\(82\) | −1.75260e13 | + | 1.01186e13i | −0.703049 | + | 0.405905i | ||||
\(83\) | 5.45017e12i | 0.200846i | 0.994945 | + | 0.100423i | \(0.0320196\pi\) | ||||
−0.994945 | + | 0.100423i | \(0.967980\pi\) | |||||||
\(84\) | −1.40718e12 | + | 1.48209e12i | −0.0476865 | + | 0.0502249i | ||||
\(85\) | 6.35301e13 | 1.98174 | ||||||||
\(86\) | −1.65149e13 | − | 2.86046e13i | −0.474663 | − | 0.822141i | ||||
\(87\) | −8.75474e12 | − | 5.05455e12i | −0.232064 | − | 0.133982i | ||||
\(88\) | −7.40702e12 | + | 1.28293e13i | −0.181244 | + | 0.313925i | ||||
\(89\) | 3.25912e13 | − | 1.88165e13i | 0.736835 | − | 0.425412i | −0.0840827 | − | 0.996459i | \(-0.526796\pi\) |
0.820917 | + | 0.571047i | \(0.193463\pi\) | |||||||
\(90\) | − | 5.20641e13i | − | 1.08853i | ||||||
\(91\) | 1.01299e13 | + | 3.42305e13i | 0.196026 | + | 0.662405i | ||||
\(92\) | 2.10189e13 | 0.376786 | ||||||||
\(93\) | 6.90746e12 | + | 1.19641e13i | 0.114799 | + | 0.198838i | ||||
\(94\) | −3.21069e12 | − | 1.85369e12i | −0.0495112 | − | 0.0285853i | ||||
\(95\) | 5.97637e13 | − | 1.03514e14i | 0.855800 | − | 1.48229i | ||||
\(96\) | −1.59349e12 | + | 9.20000e11i | −0.0212056 | + | 0.0122430i | ||||
\(97\) | − | 1.14678e14i | − | 1.41932i | −0.704547 | − | 0.709658i | \(-0.748850\pi\) | ||
0.704547 | − | 0.709658i | \(-0.251150\pi\) | |||||||
\(98\) | 5.46806e13 | + | 2.78969e13i | 0.629870 | + | 0.321347i | ||||
\(99\) | −9.37287e13 | −1.00560 | ||||||||
\(100\) | 3.65855e13 | + | 6.33679e13i | 0.365855 | + | 0.633679i | ||||
\(101\) | −1.14451e13 | − | 6.60783e12i | −0.106750 | − | 0.0616324i | 0.445674 | − | 0.895195i | \(-0.352964\pi\) |
−0.552425 | + | 0.833563i | \(0.686297\pi\) | |||||||
\(102\) | 7.10278e12 | − | 1.23024e13i | 0.0618339 | − | 0.107100i | ||||
\(103\) | −8.74064e13 | + | 5.04641e13i | −0.710694 | + | 0.410320i | −0.811318 | − | 0.584605i | \(-0.801249\pi\) |
0.100624 | + | 0.994925i | \(0.467916\pi\) | |||||||
\(104\) | 3.21397e13i | 0.244235i | ||||||||
\(105\) | 2.93332e13 | − | 8.68060e12i | 0.208465 | − | 0.0616914i | ||||
\(106\) | −7.24855e13 | −0.482070 | ||||||||
\(107\) | 1.17926e14 | + | 2.04253e14i | 0.734382 | + | 1.27199i | 0.954994 | + | 0.296625i | \(0.0958610\pi\) |
−0.220613 | + | 0.975362i | \(0.570806\pi\) | |||||||
\(108\) | −2.03613e13 | − | 1.17556e13i | −0.118806 | − | 0.0685927i | ||||
\(109\) | −6.05767e13 | + | 1.04922e14i | −0.331375 | + | 0.573959i | −0.982782 | − | 0.184770i | \(-0.940846\pi\) |
0.651406 | + | 0.758729i | \(0.274179\pi\) | |||||||
\(110\) | 1.92032e14 | − | 1.10870e14i | 0.985427 | − | 0.568937i | ||||
\(111\) | 2.45679e13i | 0.118334i | ||||||||
\(112\) | 4.00794e13 | + | 3.80537e13i | 0.181299 | + | 0.172136i | ||||
\(113\) | −1.34624e14 | −0.572235 | −0.286117 | − | 0.958195i | \(-0.592365\pi\) | ||||
−0.286117 | + | 0.958195i | \(0.592365\pi\) | |||||||
\(114\) | −1.33634e13 | − | 2.31460e13i | −0.0534050 | − | 0.0925002i | ||||
\(115\) | −2.72465e14 | − | 1.57307e14i | −1.02430 | − | 0.591377i | ||||
\(116\) | −1.36688e14 | + | 2.36750e14i | −0.483641 | + | 0.837692i | ||||
\(117\) | −1.76105e14 | + | 1.01674e14i | −0.586773 | + | 0.338774i | ||||
\(118\) | 9.12167e13i | 0.286352i | ||||||||
\(119\) | −4.14869e14 | − | 9.97151e13i | −1.22767 | − | 0.295075i | ||||
\(120\) | 2.75415e13 | 0.0768632 | ||||||||
\(121\) | −9.71891e12 | − | 1.68336e13i | −0.0255929 | − | 0.0443283i | ||||
\(122\) | 1.06548e14 | + | 6.15158e13i | 0.264867 | + | 0.152921i | ||||
\(123\) | 3.38665e13 | − | 5.86584e13i | 0.0795122 | − | 0.137719i | ||||
\(124\) | 3.23539e14 | − | 1.86795e14i | 0.717752 | − | 0.414394i | ||||
\(125\) | − | 3.46828e14i | − | 0.727351i | ||||||
\(126\) | −8.17184e13 | + | 3.39993e14i | −0.162079 | + | 0.674335i | ||||
\(127\) | 3.44488e14 | 0.646470 | 0.323235 | − | 0.946319i | \(-0.395230\pi\) | ||||
0.323235 | + | 0.946319i | \(0.395230\pi\) | |||||||
\(128\) | 2.48791e13 | + | 4.30919e13i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 9.57378e13 | + | 5.52742e13i | 0.161048 | + | 0.0929811i | ||||
\(130\) | 2.40536e14 | − | 4.16621e14i | 0.383334 | − | 0.663954i | ||||
\(131\) | 8.29443e14 | − | 4.78879e14i | 1.25282 | − | 0.723314i | 0.281148 | − | 0.959664i | \(-0.409285\pi\) |
0.971668 | + | 0.236351i | \(0.0759514\pi\) | |||||||
\(132\) | − | 4.95817e13i | − | 0.0710075i | ||||||
\(133\) | −5.52746e14 | + | 5.82170e14i | −0.750869 | + | 0.790839i | ||||
\(134\) | −4.40351e14 | −0.567630 | ||||||||
\(135\) | 1.75960e14 | + | 3.04771e14i | 0.215316 | + | 0.372939i | ||||
\(136\) | −3.32687e14 | − | 1.92077e14i | −0.386601 | − | 0.223204i | ||||
\(137\) | 5.69577e14 | − | 9.86536e14i | 0.628794 | − | 1.08910i | −0.359000 | − | 0.933338i | \(-0.616882\pi\) |
0.987794 | − | 0.155766i | \(-0.0497844\pi\) | |||||||
\(138\) | −6.09240e13 | + | 3.51745e13i | −0.0639198 | + | 0.0369041i | ||||
\(139\) | 1.74371e15i | 1.73928i | 0.493686 | + | 0.869640i | \(0.335649\pi\) | ||||
−0.493686 | + | 0.869640i | \(0.664351\pi\) | |||||||
\(140\) | −2.34745e14 | − | 7.93242e14i | −0.222690 | − | 0.752505i | ||||
\(141\) | 1.24084e13 | 0.0111991 | ||||||||
\(142\) | 2.11630e14 | + | 3.66554e14i | 0.181785 | + | 0.314862i | ||||
\(143\) | −7.50025e14 | − | 4.33027e14i | −0.613372 | − | 0.354130i | ||||
\(144\) | −1.57411e14 | + | 2.72643e14i | −0.122602 | + | 0.212352i | ||||
\(145\) | 3.54372e15 | − | 2.04597e15i | 2.62956 | − | 1.51818i | ||||
\(146\) | − | 4.94589e14i | − | 0.349763i | ||||||
\(147\) | −2.05178e14 | + | 1.06461e13i | −0.138328 | + | 0.00717746i | ||||
\(148\) | 6.64379e14 | 0.427153 | ||||||||
\(149\) | 1.43228e15 | + | 2.48078e15i | 0.878465 | + | 1.52155i | 0.853026 | + | 0.521869i | \(0.174765\pi\) |
0.0254388 | + | 0.999676i | \(0.491902\pi\) | |||||||
\(150\) | −2.12089e14 | − | 1.22450e14i | −0.124131 | − | 0.0716668i | ||||
\(151\) | −4.88056e14 | + | 8.45337e14i | −0.272666 | + | 0.472271i | −0.969544 | − | 0.244919i | \(-0.921239\pi\) |
0.696878 | + | 0.717190i | \(0.254572\pi\) | |||||||
\(152\) | −6.25927e14 | + | 3.61379e14i | −0.333902 | + | 0.192778i | ||||
\(153\) | − | 2.43055e15i | − | 1.23841i | ||||||
\(154\) | −1.42804e15 | + | 4.22601e14i | −0.695177 | + | 0.205724i | ||||
\(155\) | −5.59197e15 | −2.60161 | ||||||||
\(156\) | −5.37848e13 | − | 9.31580e13i | −0.0239215 | − | 0.0414332i | ||||
\(157\) | −5.23736e14 | − | 3.02379e14i | −0.222749 | − | 0.128604i | 0.384474 | − | 0.923136i | \(-0.374383\pi\) |
−0.607222 | + | 0.794532i | \(0.707716\pi\) | |||||||
\(158\) | 1.29337e14 | − | 2.24019e14i | 0.0526167 | − | 0.0911349i | ||||
\(159\) | 2.10102e14 | − | 1.21302e14i | 0.0817805 | − | 0.0472160i | ||||
\(160\) | − | 7.44790e14i | − | 0.277456i | ||||||
\(161\) | 1.53236e15 | + | 1.45491e15i | 0.546488 | + | 0.518867i | ||||
\(162\) | −1.95215e15 | −0.666667 | ||||||||
\(163\) | 1.65902e15 | + | 2.87351e15i | 0.542674 | + | 0.939938i | 0.998749 | + | 0.0499975i | \(0.0159213\pi\) |
−0.456076 | + | 0.889941i | \(0.650745\pi\) | |||||||
\(164\) | −1.58627e15 | − | 9.15834e14i | −0.497130 | − | 0.287018i | ||||
\(165\) | −3.71074e14 | + | 6.42720e14i | −0.111448 | + | 0.193034i | ||||
\(166\) | −4.27204e14 | + | 2.46646e14i | −0.122993 | + | 0.0710098i | ||||
\(167\) | 7.57679e14i | 0.209156i | 0.994517 | + | 0.104578i | \(0.0333492\pi\) | ||||
−0.994517 | + | 0.104578i | \(0.966651\pi\) | |||||||
\(168\) | −1.79853e14 | − | 4.32284e13i | −0.0476161 | − | 0.0114447i | ||||
\(169\) | 2.05843e15 | 0.522793 | ||||||||
\(170\) | 2.87504e15 | + | 4.97972e15i | 0.700651 | + | 1.21356i | ||||
\(171\) | −3.96025e15 | − | 2.28645e15i | −0.926297 | − | 0.534798i | ||||
\(172\) | 1.49475e15 | − | 2.58899e15i | 0.335638 | − | 0.581341i | ||||
\(173\) | −1.13933e14 | + | 6.57792e13i | −0.0245656 | + | 0.0141829i | −0.512232 | − | 0.858847i | \(-0.671181\pi\) |
0.487667 | + | 0.873030i | \(0.337848\pi\) | |||||||
\(174\) | − | 9.14971e14i | − | 0.189480i | ||||||
\(175\) | −1.71906e15 | + | 7.15220e15i | −0.341998 | + | 1.42290i | ||||
\(176\) | −1.34081e15 | −0.256318 | ||||||||
\(177\) | −1.52648e14 | − | 2.64395e14i | −0.0280466 | − | 0.0485781i | ||||
\(178\) | 2.94982e15 | + | 1.70308e15i | 0.521021 | + | 0.300811i | ||||
\(179\) | 1.19317e15 | − | 2.06663e15i | 0.202642 | − | 0.350987i | −0.746737 | − | 0.665120i | \(-0.768380\pi\) |
0.949379 | + | 0.314133i | \(0.101714\pi\) | |||||||
\(180\) | 4.08098e15 | − | 2.35615e15i | 0.666586 | − | 0.384854i | ||||
\(181\) | − | 6.33443e15i | − | 0.995308i | −0.867376 | − | 0.497654i | \(-0.834195\pi\) | ||
0.867376 | − | 0.497654i | \(-0.165805\pi\) | |||||||
\(182\) | −2.22469e15 | + | 2.34311e15i | −0.336333 | + | 0.354237i | ||||
\(183\) | −4.11780e14 | −0.0599111 | ||||||||
\(184\) | 9.51207e14 | + | 1.64754e15i | 0.133214 | + | 0.230734i | ||||
\(185\) | −8.61223e15 | − | 4.97227e15i | −1.16122 | − | 0.670429i | ||||
\(186\) | −6.25192e14 | + | 1.08286e15i | −0.0811751 | + | 0.140599i | ||||
\(187\) | 8.96477e15 | − | 5.17581e15i | 1.12111 | − | 0.647273i | ||||
\(188\) | − | 3.35554e14i | − | 0.0404257i | ||||||
\(189\) | −6.70705e14 | − | 2.26642e15i | −0.0778572 | − | 0.263092i | ||||
\(190\) | 1.08184e16 | 1.21028 | ||||||||
\(191\) | −1.11716e15 | − | 1.93499e15i | −0.120471 | − | 0.208662i | 0.799482 | − | 0.600690i | \(-0.205107\pi\) |
−0.919954 | + | 0.392027i | \(0.871774\pi\) | |||||||
\(192\) | −1.44226e14 | − | 8.32689e13i | −0.0149946 | − | 0.00865714i | ||||
\(193\) | 5.18959e15 | − | 8.98863e15i | 0.520273 | − | 0.901140i | −0.479449 | − | 0.877570i | \(-0.659163\pi\) |
0.999722 | − | 0.0235700i | \(-0.00750327\pi\) | |||||||
\(194\) | 8.98890e15 | − | 5.18975e15i | 0.869150 | − | 0.501804i | ||||
\(195\) | 1.61012e15i | 0.150182i | ||||||||
\(196\) | 2.87898e14 | + | 5.54854e15i | 0.0259088 | + | 0.499328i | ||||
\(197\) | 7.07208e15 | 0.614163 | 0.307082 | − | 0.951683i | \(-0.400648\pi\) | ||||
0.307082 | + | 0.951683i | \(0.400648\pi\) | |||||||
\(198\) | −4.24168e15 | − | 7.34680e15i | −0.355534 | − | 0.615803i | ||||
\(199\) | −2.69790e15 | − | 1.55763e15i | −0.218300 | − | 0.126036i | 0.386863 | − | 0.922137i | \(-0.373559\pi\) |
−0.605163 | + | 0.796102i | \(0.706892\pi\) | |||||||
\(200\) | −3.31134e15 | + | 5.73541e15i | −0.258699 | + | 0.448079i | ||||
\(201\) | 1.27637e15 | − | 7.36914e14i | 0.0962953 | − | 0.0555961i | ||||
\(202\) | − | 1.19614e15i | − | 0.0871614i | ||||||
\(203\) | −2.63528e16 | + | 7.79860e15i | −1.85504 | + | 0.548965i | ||||
\(204\) | 1.28574e15 | 0.0874464 | ||||||||
\(205\) | 1.37084e16 | + | 2.37436e16i | 0.900967 | + | 1.56052i | ||||
\(206\) | −7.91113e15 | − | 4.56749e15i | −0.502537 | − | 0.290140i | ||||
\(207\) | −6.01831e15 | + | 1.04240e16i | −0.369557 | + | 0.640092i | ||||
\(208\) | −2.51923e15 | + | 1.45448e15i | −0.149563 | + | 0.0863502i | ||||
\(209\) | − | 1.94759e16i | − | 1.11808i | ||||||
\(210\) | 2.00788e15 | + | 1.90640e15i | 0.111482 | + | 0.105847i | ||||
\(211\) | 6.76121e15 | 0.363117 | 0.181559 | − | 0.983380i | \(-0.441886\pi\) | ||||
0.181559 | + | 0.983380i | \(0.441886\pi\) | |||||||
\(212\) | −3.28032e15 | − | 5.68168e15i | −0.170437 | − | 0.295206i | ||||
\(213\) | −1.22684e15 | − | 7.08314e14i | −0.0616778 | − | 0.0356097i | ||||
\(214\) | −1.06734e16 | + | 1.84869e16i | −0.519286 | + | 0.899430i | ||||
\(215\) | −3.87525e16 | + | 2.23738e16i | −1.82486 | + | 1.05359i | ||||
\(216\) | − | 2.12799e15i | − | 0.0970047i | ||||||
\(217\) | 3.65171e16 | + | 8.77701e15i | 1.61168 | + | 0.387372i | ||||
\(218\) | −1.09656e16 | −0.468636 | ||||||||
\(219\) | 8.27680e14 | + | 1.43358e15i | 0.0342573 | + | 0.0593354i | ||||
\(220\) | 1.73807e16 | + | 1.00348e16i | 0.696802 | + | 0.402299i | ||||
\(221\) | 1.12291e16 | − | 1.94495e16i | 0.436115 | − | 0.755373i | ||||
\(222\) | −1.92573e15 | + | 1.11182e15i | −0.0724642 | + | 0.0418372i | ||||
\(223\) | 1.24304e16i | 0.453264i | 0.973980 | + | 0.226632i | \(0.0727715\pi\) | ||||
−0.973980 | + | 0.226632i | \(0.927228\pi\) | |||||||
\(224\) | −1.16900e15 | + | 4.86369e15i | −0.0413123 | + | 0.171882i | ||||
\(225\) | −4.19018e16 | −1.43534 | ||||||||
\(226\) | −6.09240e15 | − | 1.05523e16i | −0.202315 | − | 0.350421i | ||||
\(227\) | −2.07574e16 | − | 1.19843e16i | −0.668332 | − | 0.385862i | 0.127112 | − | 0.991888i | \(-0.459429\pi\) |
−0.795444 | + | 0.606027i | \(0.792763\pi\) | |||||||
\(228\) | 1.20951e15 | − | 2.09494e15i | 0.0377631 | − | 0.0654075i | ||||
\(229\) | 3.04032e16 | − | 1.75533e16i | 0.920598 | − | 0.531508i | 0.0367725 | − | 0.999324i | \(-0.488292\pi\) |
0.883826 | + | 0.467816i | \(0.154959\pi\) | |||||||
\(230\) | − | 2.84757e16i | − | 0.836333i | ||||||
\(231\) | 3.43201e15 | − | 3.61471e15i | 0.0977834 | − | 0.102989i | ||||
\(232\) | −2.47431e16 | −0.683972 | ||||||||
\(233\) | 1.74556e16 | + | 3.02340e16i | 0.468213 | + | 0.810969i | 0.999340 | − | 0.0363233i | \(-0.0115646\pi\) |
−0.531127 | + | 0.847292i | \(0.678231\pi\) | |||||||
\(234\) | −1.59392e16 | − | 9.20250e15i | −0.414911 | − | 0.239549i | ||||
\(235\) | −2.51132e15 | + | 4.34973e15i | −0.0634493 | + | 0.109897i | ||||
\(236\) | −7.14990e15 | + | 4.12800e15i | −0.175354 | + | 0.101241i | ||||
\(237\) | 8.65768e14i | 0.0206140i | ||||||||
\(238\) | −1.09588e16 | − | 3.70315e16i | −0.253352 | − | 0.856117i | ||||
\(239\) | 7.26933e16 | 1.63196 | 0.815979 | − | 0.578082i | \(-0.196199\pi\) | ||||
0.815979 | + | 0.578082i | \(0.196199\pi\) | |||||||
\(240\) | 1.24638e15 | + | 2.15880e15i | 0.0271752 | + | 0.0470689i | ||||
\(241\) | 4.20008e16 | + | 2.42492e16i | 0.889484 | + | 0.513544i | 0.873774 | − | 0.486333i | \(-0.161666\pi\) |
0.0157101 | + | 0.999877i | \(0.494999\pi\) | |||||||
\(242\) | 8.79655e14 | − | 1.52361e15i | 0.0180969 | − | 0.0313448i | ||||
\(243\) | 1.75465e16 | − | 1.01305e16i | 0.350709 | − | 0.202482i | ||||
\(244\) | 1.11355e16i | 0.216263i | ||||||||
\(245\) | 3.77938e16 | − | 7.40794e16i | 0.713277 | − | 1.39809i | ||||
\(246\) | 6.13048e15 | 0.112447 | ||||||||
\(247\) | −2.11269e16 | − | 3.65928e16i | −0.376666 | − | 0.652404i | ||||
\(248\) | 2.92834e16 | + | 1.69068e16i | 0.507527 | + | 0.293021i | ||||
\(249\) | 8.25511e14 | − | 1.42983e15i | 0.0139100 | − | 0.0240929i | ||||
\(250\) | 2.71856e16 | − | 1.56956e16i | 0.445409 | − | 0.257157i | ||||
\(251\) | 9.46547e16i | 1.50809i | 0.656825 | + | 0.754043i | \(0.271899\pi\) | ||||
−0.656825 | + | 0.754043i | \(0.728101\pi\) | |||||||
\(252\) | −3.03480e16 | + | 8.98093e15i | −0.470248 | + | 0.139161i | ||||
\(253\) | −5.12635e16 | −0.772618 | ||||||||
\(254\) | 1.55897e16 | + | 2.70022e16i | 0.228561 | + | 0.395880i | ||||
\(255\) | −1.66668e16 | − | 9.62260e15i | −0.237723 | − | 0.137250i | ||||
\(256\) | −2.25180e15 | + | 3.90023e15i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6.50584e16 | + | 3.75615e16i | −0.878560 | + | 0.507237i | −0.870183 | − | 0.492728i | \(-0.836000\pi\) |
−0.00837648 | + | 0.999965i | \(0.502666\pi\) | |||||||
\(258\) | 1.00057e16i | 0.131495i | ||||||||
\(259\) | 4.84359e16 | + | 4.59878e16i | 0.619539 | + | 0.588227i | ||||
\(260\) | 4.35418e16 | 0.542116 | ||||||||
\(261\) | −7.82751e16 | − | 1.35576e17i | −0.948724 | − | 1.64324i | ||||
\(262\) | 7.50726e16 | + | 4.33432e16i | 0.885875 | + | 0.511460i | ||||
\(263\) | 7.85625e16 | − | 1.36074e17i | 0.902661 | − | 1.56346i | 0.0786350 | − | 0.996903i | \(-0.474944\pi\) |
0.824026 | − | 0.566552i | \(-0.191723\pi\) | |||||||
\(264\) | 3.88640e15 | − | 2.24381e15i | 0.0434830 | − | 0.0251049i | ||||
\(265\) | 9.82009e16i | 1.07003i | ||||||||
\(266\) | −7.06470e16 | − | 1.69802e16i | −0.749760 | − | 0.180207i | ||||
\(267\) | −1.14002e16 | −0.117851 | ||||||||
\(268\) | −1.99280e16 | − | 3.45163e16i | −0.200688 | − | 0.347601i | ||||
\(269\) | 1.99591e16 | + | 1.15234e16i | 0.195828 | + | 0.113061i | 0.594708 | − | 0.803942i | \(-0.297268\pi\) |
−0.398880 | + | 0.917003i | \(0.630601\pi\) | |||||||
\(270\) | −1.59261e16 | + | 2.75848e16i | −0.152252 | + | 0.263708i | ||||
\(271\) | −5.83170e16 | + | 3.36693e16i | −0.543263 | + | 0.313653i | −0.746400 | − | 0.665497i | \(-0.768220\pi\) |
0.203137 | + | 0.979150i | \(0.434886\pi\) | |||||||
\(272\) | − | 3.47696e16i | − | 0.315659i | ||||||
\(273\) | 2.52721e15 | − | 1.05145e16i | 0.0223616 | − | 0.0930362i | ||||
\(274\) | 1.03104e17 | 0.889249 | ||||||||
\(275\) | −8.92293e16 | − | 1.54550e17i | −0.750203 | − | 1.29939i | ||||
\(276\) | −5.51422e15 | − | 3.18363e15i | −0.0451981 | − | 0.0260951i | ||||
\(277\) | −8.29569e16 | + | 1.43686e17i | −0.662970 | + | 1.14830i | 0.316861 | + | 0.948472i | \(0.397371\pi\) |
−0.979831 | + | 0.199826i | \(0.935962\pi\) | |||||||
\(278\) | −1.36678e17 | + | 7.89111e16i | −1.06509 | + | 0.614929i | ||||
\(279\) | 2.13939e17i | 1.62577i | ||||||||
\(280\) | 5.15539e16 | − | 5.42982e16i | 0.382081 | − | 0.402420i | ||||
\(281\) | −1.57534e17 | −1.13875 | −0.569376 | − | 0.822077i | \(-0.692815\pi\) | ||||
−0.569376 | + | 0.822077i | \(0.692815\pi\) | |||||||
\(282\) | 5.61540e14 | + | 9.72616e14i | 0.00395947 | + | 0.00685800i | ||||
\(283\) | −4.18892e16 | − | 2.41847e16i | −0.288136 | − | 0.166355i | 0.348965 | − | 0.937136i | \(-0.386533\pi\) |
−0.637101 | + | 0.770781i | \(0.719866\pi\) | |||||||
\(284\) | −1.91546e16 | + | 3.31767e16i | −0.128542 | + | 0.222641i | ||||
\(285\) | −3.13575e16 | + | 1.81042e16i | −0.205318 | + | 0.118540i | ||||
\(286\) | − | 7.83863e16i | − | 0.500816i | ||||||
\(287\) | −5.22521e16 | − | 1.76569e17i | −0.325785 | − | 1.10088i | ||||
\(288\) | −2.84944e16 | −0.173385 | ||||||||
\(289\) | 5.00289e16 | + | 8.66526e16i | 0.297123 | + | 0.514632i | ||||
\(290\) | 3.20741e17 | + | 1.85180e17i | 1.85938 | + | 1.07351i | ||||
\(291\) | −1.73698e16 | + | 3.00853e16i | −0.0982977 | + | 0.170257i | ||||
\(292\) | 3.87677e16 | − | 2.23825e16i | 0.214185 | − | 0.123660i | ||||
\(293\) | − | 1.19860e17i | − | 0.646550i | −0.946305 | − | 0.323275i | \(-0.895216\pi\) | ||
0.946305 | − | 0.323275i | \(-0.104784\pi\) | |||||||
\(294\) | −1.01198e16 | − | 1.56009e16i | −0.0533016 | − | 0.0821707i | ||||
\(295\) | 1.23577e17 | 0.635601 | ||||||||
\(296\) | 3.00663e16 | + | 5.20764e16i | 0.151021 | + | 0.261577i | ||||
\(297\) | 4.96596e16 | + | 2.86710e16i | 0.243617 | + | 0.140653i | ||||
\(298\) | −1.29635e17 | + | 2.24535e17i | −0.621168 | + | 1.07589i | ||||
\(299\) | −9.63180e16 | + | 5.56092e16i | −0.450826 | + | 0.260285i | ||||
\(300\) | − | 2.21657e16i | − | 0.101352i | ||||||
\(301\) | 2.88182e17 | − | 8.52819e16i | 1.28736 | − | 0.380971i | ||||
\(302\) | −8.83475e16 | −0.385608 | ||||||||
\(303\) | 2.00171e15 | + | 3.46707e15i | 0.00853696 | + | 0.0147865i | ||||
\(304\) | −5.66524e16 | − | 3.27083e16i | −0.236104 | − | 0.136315i | ||||
\(305\) | 8.33395e16 | − | 1.44348e17i | 0.339431 | − | 0.587912i | ||||
\(306\) | 1.90515e17 | − | 1.09994e17i | 0.758368 | − | 0.437844i | ||||
\(307\) | − | 1.36486e17i | − | 0.531030i | −0.964107 | − | 0.265515i | \(-0.914458\pi\) | ||
0.964107 | − | 0.265515i | \(-0.0855419\pi\) | |||||||
\(308\) | −9.77507e16 | − | 9.28102e16i | −0.371762 | − | 0.352972i | ||||
\(309\) | 3.05742e16 | 0.113670 | ||||||||
\(310\) | −2.53064e17 | − | 4.38319e17i | −0.919810 | − | 1.59316i | ||||
\(311\) | 8.05827e16 | + | 4.65244e16i | 0.286364 | + | 0.165333i | 0.636301 | − | 0.771441i | \(-0.280464\pi\) |
−0.349937 | + | 0.936773i | \(0.613797\pi\) | |||||||
\(312\) | 4.86805e15 | − | 8.43170e15i | 0.0169150 | − | 0.0292977i | ||||
\(313\) | −4.32110e17 | + | 2.49479e17i | −1.46820 | + | 0.847664i | −0.999365 | − | 0.0356233i | \(-0.988658\pi\) |
−0.468832 | + | 0.883287i | \(0.655325\pi\) | |||||||
\(314\) | − | 5.47365e16i | − | 0.181874i | ||||||
\(315\) | 4.60611e17 | + | 1.10709e17i | 1.49679 | + | 0.359758i | ||||
\(316\) | 2.34125e16 | 0.0744113 | ||||||||
\(317\) | 2.21555e17 | + | 3.83744e17i | 0.688757 | + | 1.19296i | 0.972240 | + | 0.233985i | \(0.0751766\pi\) |
−0.283483 | + | 0.958977i | \(0.591490\pi\) | |||||||
\(318\) | 1.90162e16 | + | 1.09790e16i | 0.0578276 | + | 0.0333868i | ||||
\(319\) | 3.33371e17 | − | 5.77416e17i | 0.991730 | − | 1.71773i | ||||
\(320\) | 5.83794e16 | − | 3.37054e16i | 0.169906 | − | 0.0980955i | ||||
\(321\) | − | 7.14465e16i | − | 0.203445i | ||||||
\(322\) | −4.46947e16 | + | 1.85954e17i | −0.124527 | + | 0.518101i | ||||
\(323\) | 5.05043e17 | 1.37693 | ||||||||
\(324\) | −8.83444e16 | − | 1.53017e17i | −0.235702 | − | 0.408249i | ||||
\(325\) | −3.35302e17 | − | 1.93587e17i | −0.875493 | − | 0.505466i | ||||
\(326\) | −1.50157e17 | + | 2.60080e17i | −0.383728 | + | 0.664637i | ||||
\(327\) | 3.17841e16 | − | 1.83505e16i | 0.0795015 | − | 0.0459002i | ||||
\(328\) | − | 1.65784e17i | − | 0.405905i | ||||||
\(329\) | 2.32268e16 | − | 2.44632e16i | 0.0556697 | − | 0.0586331i | ||||
\(330\) | −6.71716e16 | −0.157612 | ||||||||
\(331\) | −2.74168e17 | − | 4.74874e17i | −0.629827 | − | 1.09089i | −0.987586 | − | 0.157079i | \(-0.949792\pi\) |
0.357759 | − | 0.933814i | \(-0.383541\pi\) | |||||||
\(332\) | −3.86661e16 | − | 2.23239e16i | −0.0869689 | − | 0.0502115i | ||||
\(333\) | −1.90230e17 | + | 3.29489e17i | −0.418958 | + | 0.725656i | ||||
\(334\) | −5.93897e16 | + | 3.42886e16i | −0.128081 | + | 0.0739478i | ||||
\(335\) | 5.96573e17i | 1.25994i | ||||||||
\(336\) | −4.75084e15 | − | 1.60539e16i | −0.00982642 | − | 0.0332051i | ||||
\(337\) | 7.64047e16 | 0.154779 | 0.0773893 | − | 0.997001i | \(-0.475342\pi\) | ||||
0.0773893 | + | 0.997001i | \(0.475342\pi\) | |||||||
\(338\) | 9.31541e16 | + | 1.61348e17i | 0.184835 | + | 0.320144i | ||||
\(339\) | 3.53181e16 | + | 2.03909e16i | 0.0686434 | + | 0.0396313i | ||||
\(340\) | −2.60219e17 | + | 4.50713e17i | −0.495435 | + | 0.858119i | ||||
\(341\) | −7.89087e17 | + | 4.55579e17i | −1.47178 | + | 0.849735i | ||||
\(342\) | − | 4.13892e17i | − | 0.756318i | ||||||
\(343\) | −3.63077e17 | + | 4.24439e17i | −0.650040 | + | 0.759900i | ||||
\(344\) | 2.70579e17 | 0.474663 | ||||||||
\(345\) | 4.76532e16 | + | 8.25378e16i | 0.0819141 | + | 0.141879i | ||||
\(346\) | −1.03120e16 | − | 5.95366e15i | −0.0173705 | − | 0.0100288i | ||||
\(347\) | 2.81212e17 | − | 4.87074e17i | 0.464224 | − | 0.804060i | −0.534942 | − | 0.844889i | \(-0.679666\pi\) |
0.999166 | + | 0.0408287i | \(0.0129998\pi\) | |||||||
\(348\) | 7.17188e16 | − | 4.14069e16i | 0.116032 | − | 0.0669912i | ||||
\(349\) | 6.65335e17i | 1.05502i | 0.849547 | + | 0.527512i | \(0.176875\pi\) | ||||
−0.849547 | + | 0.527512i | \(0.823125\pi\) | |||||||
\(350\) | −6.38411e17 | + | 1.88926e17i | −0.992257 | + | 0.293640i | ||||
\(351\) | 1.24406e17 | 0.189536 | ||||||||
\(352\) | −6.06783e16 | − | 1.05098e17i | −0.0906222 | − | 0.156962i | ||||
\(353\) | −6.22159e17 | − | 3.59204e17i | −0.910916 | − | 0.525918i | −0.0301902 | − | 0.999544i | \(-0.509611\pi\) |
−0.880726 | + | 0.473627i | \(0.842945\pi\) | |||||||
\(354\) | 1.38162e16 | − | 2.39303e16i | 0.0198319 | − | 0.0343499i | ||||
\(355\) | 4.96595e17 | − | 2.86709e17i | 0.698882 | − | 0.403500i | ||||
\(356\) | 3.08290e17i | 0.425412i | ||||||||
\(357\) | 9.37356e16 | + | 8.89980e16i | 0.126831 | + | 0.120421i | ||||
\(358\) | 2.15986e17 | 0.286579 | ||||||||
\(359\) | 4.26233e17 | + | 7.38257e17i | 0.554607 | + | 0.960608i | 0.997934 | + | 0.0642478i | \(0.0204648\pi\) |
−0.443327 | + | 0.896360i | \(0.646202\pi\) | |||||||
\(360\) | 3.69368e17 | + | 2.13255e17i | 0.471348 | + | 0.272133i | ||||
\(361\) | 7.55981e16 | − | 1.30940e17i | 0.0946151 | − | 0.163878i | ||||
\(362\) | 4.96516e17 | − | 2.86664e17i | 0.609499 | − | 0.351895i | ||||
\(363\) | 5.88831e15i | 0.00708997i | ||||||||
\(364\) | −2.84340e17 | − | 6.83420e16i | −0.335836 | − | 0.0807194i | ||||
\(365\) | −6.70052e17 | −0.776352 | ||||||||
\(366\) | −1.86350e16 | − | 3.22768e16i | −0.0211818 | − | 0.0366879i | ||||
\(367\) | −1.02807e18 | − | 5.93559e17i | −1.14647 | − | 0.661913i | −0.198444 | − | 0.980112i | \(-0.563589\pi\) |
−0.948024 | + | 0.318199i | \(0.896922\pi\) | |||||||
\(368\) | −8.60934e16 | + | 1.49118e17i | −0.0941966 | + | 0.163153i | ||||
\(369\) | 9.08388e17 | − | 5.24458e17i | 0.975185 | − | 0.563023i | ||||
\(370\) | − | 9.00078e17i | − | 0.948130i | ||||||
\(371\) | 1.54133e17 | − | 6.41279e17i | 0.159323 | − | 0.662872i | ||||
\(372\) | −1.13172e17 | −0.114799 | ||||||||
\(373\) | −1.89839e17 | − | 3.28811e17i | −0.188984 | − | 0.327329i | 0.755928 | − | 0.654655i | \(-0.227186\pi\) |
−0.944912 | + | 0.327325i | \(0.893853\pi\) | |||||||
\(374\) | 8.11399e17 | + | 4.68461e17i | 0.792744 | + | 0.457691i | ||||
\(375\) | −5.25324e16 | + | 9.09887e16i | −0.0503742 | + | 0.0872507i | ||||
\(376\) | 2.63020e16 | − | 1.51854e16i | 0.0247556 | − | 0.0142926i | ||||
\(377\) | − | 1.44653e18i | − | 1.33640i | ||||||
\(378\) | 1.47298e17 | − | 1.55139e17i | 0.133584 | − | 0.140695i | ||||
\(379\) | −1.86804e18 | −1.66307 | −0.831537 | − | 0.555470i | \(-0.812539\pi\) | ||||
−0.831537 | + | 0.555470i | \(0.812539\pi\) | |||||||
\(380\) | 4.89584e17 | + | 8.47985e17i | 0.427900 | + | 0.741144i | ||||
\(381\) | −9.03749e16 | − | 5.21780e16i | −0.0775484 | − | 0.0447726i | ||||
\(382\) | 1.01114e17 | − | 1.75135e17i | 0.0851861 | − | 0.147547i | ||||
\(383\) | 1.23661e18 | − | 7.13958e17i | 1.02292 | − | 0.590584i | 0.107972 | − | 0.994154i | \(-0.465564\pi\) |
0.914949 | + | 0.403570i | \(0.132231\pi\) | |||||||
\(384\) | − | 1.50733e16i | − | 0.0122430i | ||||||
\(385\) | 5.72526e17 | + | 1.93466e18i | 0.456636 | + | 1.54305i | ||||
\(386\) | 9.39415e17 | 0.735778 | ||||||||
\(387\) | 8.55981e17 | + | 1.48260e18i | 0.658396 | + | 1.14038i | ||||
\(388\) | 8.13583e17 | + | 4.69722e17i | 0.614582 | + | 0.354829i | ||||
\(389\) | 9.21907e17 | − | 1.59679e18i | 0.683974 | − | 1.18468i | −0.289783 | − | 0.957092i | \(-0.593583\pi\) |
0.973758 | − | 0.227586i | \(-0.0730834\pi\) | |||||||
\(390\) | −1.26207e17 | + | 7.28658e16i | −0.0919671 | + | 0.0530972i | ||||
\(391\) | − | 1.32935e18i | − | 0.951487i | ||||||
\(392\) | −4.21886e17 | + | 2.73665e17i | −0.296615 | + | 0.192405i | ||||
\(393\) | −2.90134e17 | −0.200378 | ||||||||
\(394\) | 3.20046e17 | + | 5.54336e17i | 0.217140 | + | 0.376097i | ||||
\(395\) | −3.03493e17 | − | 1.75222e17i | −0.202287 | − | 0.116791i | ||||
\(396\) | 3.83913e17 | − | 6.64957e17i | 0.251401 | − | 0.435439i | ||||
\(397\) | 4.98429e17 | − | 2.87768e17i | 0.320678 | − | 0.185144i | −0.331017 | − | 0.943625i | \(-0.607392\pi\) |
0.651695 | + | 0.758481i | \(0.274058\pi\) | |||||||
\(398\) | − | 2.81962e17i | − | 0.178242i | ||||||
\(399\) | 2.33189e17 | − | 6.90079e16i | 0.144843 | − | 0.0428636i | ||||
\(400\) | −5.99417e17 | −0.365855 | ||||||||
\(401\) | 3.23678e17 | + | 5.60626e17i | 0.194134 | + | 0.336250i | 0.946616 | − | 0.322362i | \(-0.104477\pi\) |
−0.752482 | + | 0.658613i | \(0.771144\pi\) | |||||||
\(402\) | 1.15524e17 | + | 6.66979e16i | 0.0680911 | + | 0.0393124i | ||||
\(403\) | −9.88399e17 | + | 1.71196e18i | −0.572528 | + | 0.991648i | ||||
\(404\) | 9.37582e16 | − | 5.41313e16i | 0.0533752 | − | 0.0308162i | ||||
\(405\) | 2.64471e18i | 1.47977i | ||||||||
\(406\) | −1.80387e18 | − | 1.71270e18i | −0.992028 | − | 0.941888i | ||||
\(407\) | −1.62037e18 | −0.875898 | ||||||||
\(408\) | 5.81859e16 | + | 1.00781e17i | 0.0309170 | + | 0.0535498i | ||||
\(409\) | −1.80402e18 | − | 1.04155e18i | −0.942278 | − | 0.544025i | −0.0516046 | − | 0.998668i | \(-0.516434\pi\) |
−0.890674 | + | 0.454643i | \(0.849767\pi\) | |||||||
\(410\) | −1.24074e18 | + | 2.14903e18i | −0.637080 | + | 1.10345i | ||||
\(411\) | −2.98852e17 | + | 1.72542e17i | −0.150856 | + | 0.0870969i | ||||
\(412\) | − | 8.26804e17i | − | 0.410320i | ||||||
\(413\) | −8.06994e17 | − | 1.93964e17i | −0.393749 | − | 0.0946389i | ||||
\(414\) | −1.08943e18 | −0.522633 | ||||||||
\(415\) | 3.34148e17 | + | 5.78762e17i | 0.157617 | + | 0.273000i | ||||
\(416\) | −2.28014e17 | − | 1.31644e17i | −0.105757 | − | 0.0610588i | ||||
\(417\) | 2.64111e17 | − | 4.57453e17i | 0.120458 | − | 0.208639i | ||||
\(418\) | 1.52659e18 | − | 8.81377e17i | 0.684681 | − | 0.395301i | ||||
\(419\) | 5.16197e17i | 0.227676i | 0.993499 | + | 0.113838i | \(0.0363145\pi\) | ||||
−0.993499 | + | 0.113838i | \(0.963686\pi\) | |||||||
\(420\) | −5.85643e16 | + | 2.43659e17i | −0.0254032 | + | 0.105691i | ||||
\(421\) | 1.69789e18 | 0.724328 | 0.362164 | − | 0.932114i | \(-0.382038\pi\) | ||||
0.362164 | + | 0.932114i | \(0.382038\pi\) | |||||||
\(422\) | 3.05977e17 | + | 5.29968e17i | 0.128381 | + | 0.222363i | ||||
\(423\) | 1.66413e17 | + | 9.60786e16i | 0.0686760 | + | 0.0396501i | ||||
\(424\) | 2.96901e17 | − | 5.14247e17i | 0.120517 | − | 0.208742i | ||||
\(425\) | 4.00774e18 | − | 2.31387e18i | 1.60021 | − | 0.923882i | ||||
\(426\) | − | 1.28218e17i | − | 0.0503597i | ||||||
\(427\) | −7.70795e17 | + | 8.11826e17i | −0.297813 | + | 0.313666i | ||||
\(428\) | −1.93209e18 | −0.734382 | ||||||||
\(429\) | 1.31177e17 | + | 2.27206e17i | 0.0490521 | + | 0.0849607i | ||||
\(430\) | −3.50748e18 | − | 2.02504e18i | −1.29037 | − | 0.744997i | ||||
\(431\) | 1.38643e18 | − | 2.40137e18i | 0.501832 | − | 0.869198i | −0.498166 | − | 0.867082i | \(-0.665993\pi\) |
0.999998 | − | 0.00211633i | \(-0.000673649\pi\) | |||||||
\(432\) | 1.66800e17 | − | 9.63017e16i | 0.0594030 | − | 0.0342964i | ||||
\(433\) | 5.15442e18i | 1.80619i | 0.429436 | + | 0.903097i | \(0.358712\pi\) | ||||
−0.429436 | + | 0.903097i | \(0.641288\pi\) | |||||||
\(434\) | 9.64601e17 | + | 3.25955e18i | 0.332598 | + | 1.12390i | ||||
\(435\) | −1.23957e18 | −0.420578 | ||||||||
\(436\) | −4.96244e17 | − | 8.59521e17i | −0.165688 | − | 0.286979i | ||||
\(437\) | −2.16600e18 | − | 1.25054e18i | −0.711687 | − | 0.410892i | ||||
\(438\) | −7.49130e16 | + | 1.29753e17i | −0.0242236 | + | 0.0419565i | ||||
\(439\) | −4.08508e18 | + | 2.35852e18i | −1.30002 | + | 0.750566i | −0.980407 | − | 0.196983i | \(-0.936886\pi\) |
−0.319611 | + | 0.947549i | \(0.603552\pi\) | |||||||
\(440\) | 1.81649e18i | 0.568937i | ||||||||
\(441\) | −2.83415e18 | − | 1.44592e18i | −0.873680 | − | 0.445734i | ||||
\(442\) | 2.03269e18 | 0.616760 | ||||||||
\(443\) | 9.99797e17 | + | 1.73170e18i | 0.298597 | + | 0.517185i | 0.975815 | − | 0.218597i | \(-0.0701480\pi\) |
−0.677218 | + | 0.735782i | \(0.736815\pi\) | |||||||
\(444\) | −1.74297e17 | − | 1.00630e17i | −0.0512399 | − | 0.0295834i | ||||
\(445\) | 2.30727e18 | − | 3.99631e18i | 0.667696 | − | 1.15648i | ||||
\(446\) | −9.74341e17 | + | 5.62536e17i | −0.277567 | + | 0.160253i | ||||
\(447\) | − | 8.67763e17i | − | 0.243360i | ||||||
\(448\) | −4.34137e17 | + | 1.28475e17i | −0.119862 | + | 0.0354708i | ||||
\(449\) | 4.78871e18 | 1.30165 | 0.650825 | − | 0.759228i | \(-0.274423\pi\) | ||||
0.650825 | + | 0.759228i | \(0.274423\pi\) | |||||||
\(450\) | −1.89626e18 | − | 3.28442e18i | −0.507470 | − | 0.878964i | ||||
\(451\) | 3.86880e18 | + | 2.23365e18i | 1.01939 | + | 0.588545i | ||||
\(452\) | 5.51421e17 | − | 9.55089e17i | 0.143059 | − | 0.247785i | ||||
\(453\) | 2.56079e17 | − | 1.47847e17i | 0.0654163 | − | 0.0377681i | ||||
\(454\) | − | 2.16939e18i | − | 0.545691i | ||||||
\(455\) | 3.17437e18 | + | 3.01393e18i | 0.786281 | + | 0.746541i | ||||
\(456\) | 2.18946e17 | 0.0534050 | ||||||||
\(457\) | 1.31456e18 | + | 2.27689e18i | 0.315768 | + | 0.546927i | 0.979601 | − | 0.200955i | \(-0.0644044\pi\) |
−0.663832 | + | 0.747882i | \(0.731071\pi\) | |||||||
\(458\) | 2.75178e18 | + | 1.58874e18i | 0.650961 | + | 0.375833i | ||||
\(459\) | −7.43489e17 | + | 1.28776e18i | −0.173215 | + | 0.300017i | ||||
\(460\) | 2.23203e18 | − | 1.28866e18i | 0.512148 | − | 0.295689i | ||||
\(461\) | − | 6.70171e18i | − | 1.51453i | −0.653105 | − | 0.757267i | \(-0.726534\pi\) | ||
0.653105 | − | 0.757267i | \(-0.273466\pi\) | |||||||
\(462\) | 4.38649e17 | + | 1.05431e17i | 0.0976390 | + | 0.0234679i | ||||
\(463\) | 1.64820e18 | 0.361363 | 0.180681 | − | 0.983542i | \(-0.442170\pi\) | ||||
0.180681 | + | 0.983542i | \(0.442170\pi\) | |||||||
\(464\) | −1.11975e18 | − | 1.93946e18i | −0.241821 | − | 0.418846i | ||||
\(465\) | 1.46703e18 | + | 8.46989e17i | 0.312081 | + | 0.180180i | ||||
\(466\) | −1.57990e18 | + | 2.73647e18i | −0.331077 | + | 0.573442i | ||||
\(467\) | 8.69730e16 | − | 5.02139e16i | 0.0179542 | − | 0.0103659i | −0.490996 | − | 0.871162i | \(-0.663367\pi\) |
0.508950 | + | 0.860796i | \(0.330034\pi\) | |||||||
\(468\) | − | 1.66583e18i | − | 0.338774i | ||||||
\(469\) | 9.36364e17 | − | 3.89578e18i | 0.187601 | − | 0.780521i | ||||
\(470\) | −4.54597e17 | −0.0897309 | ||||||||
\(471\) | 9.15999e16 | + | 1.58656e17i | 0.0178135 | + | 0.0308539i | ||||
\(472\) | −6.47135e17 | − | 3.73624e17i | −0.123994 | − | 0.0715880i | ||||
\(473\) | −3.64559e18 | + | 6.31435e18i | −0.688241 | + | 1.19207i | ||||
\(474\) | −6.78621e16 | + | 3.91802e16i | −0.0126235 | + | 0.00728816i | ||||
\(475\) | − | 8.70677e18i | − | 1.59589i | ||||||
\(476\) | 2.40673e18 | − | 2.53485e18i | 0.434689 | − | 0.457828i | ||||
\(477\) | 3.75699e18 | 0.668670 | ||||||||
\(478\) | 3.28972e18 | + | 5.69797e18i | 0.576984 | + | 0.999366i | ||||
\(479\) | −8.64178e18 | − | 4.98933e18i | −1.49367 | − | 0.862370i | −0.493696 | − | 0.869635i | \(-0.664354\pi\) |
−0.999974 | + | 0.00726427i | \(0.997688\pi\) | |||||||
\(480\) | −1.12810e17 | + | 1.95392e17i | −0.0192158 | + | 0.0332827i | ||||
\(481\) | −3.04448e18 | + | 1.75773e18i | −0.511090 | + | 0.295078i | ||||
\(482\) | 4.38957e18i | 0.726260i | ||||||||
\(483\) | −1.81640e17 | − | 6.13790e17i | −0.0296197 | − | 0.100090i | ||||
\(484\) | 1.59235e17 | 0.0255929 | ||||||||
\(485\) | −7.03089e18 | − | 1.21779e19i | −1.11383 | − | 1.92921i | ||||
\(486\) | 1.58813e18 | + | 9.16906e17i | 0.247988 | + | 0.143176i | ||||
\(487\) | −1.85394e18 | + | 3.21112e18i | −0.285360 | + | 0.494258i | −0.972696 | − | 0.232081i | \(-0.925447\pi\) |
0.687336 | + | 0.726339i | \(0.258780\pi\) | |||||||
\(488\) | −8.72845e17 | + | 5.03937e17i | −0.132434 | + | 0.0764606i | ||||
\(489\) | − | 1.00514e18i | − | 0.150336i | ||||||
\(490\) | 7.51697e18 | − | 3.90035e17i | 1.10833 | − | 0.0575083i | ||||
\(491\) | −8.22467e18 | −1.19550 | −0.597748 | − | 0.801684i | \(-0.703938\pi\) | ||||
−0.597748 | + | 0.801684i | \(0.703938\pi\) | |||||||
\(492\) | 2.77434e17 | + | 4.80530e17i | 0.0397561 | + | 0.0688596i | ||||
\(493\) | 1.49734e19 | + | 8.64489e18i | 2.11540 | + | 1.22132i | ||||
\(494\) | 1.91218e18 | − | 3.31200e18i | 0.266343 | − | 0.461320i | ||||
\(495\) | −9.95320e18 | + | 5.74648e18i | −1.36687 | + | 0.789161i | ||||
\(496\) | 3.06045e18i | 0.414394i | ||||||||
\(497\) | −3.69291e18 | + | 1.09285e18i | −0.493031 | + | 0.145903i | ||||
\(498\) | 1.49434e17 | 0.0196717 | ||||||||
\(499\) | 6.57038e17 | + | 1.13802e18i | 0.0852877 | + | 0.147723i | 0.905514 | − | 0.424317i | \(-0.139486\pi\) |
−0.820226 | + | 0.572040i | \(0.806152\pi\) | |||||||
\(500\) | 2.46056e18 | + | 1.42061e18i | 0.314952 | + | 0.181838i | ||||
\(501\) | 1.14762e17 | − | 1.98774e17i | 0.0144855 | − | 0.0250897i | ||||
\(502\) | −7.41938e18 | + | 4.28358e18i | −0.923510 | + | 0.533189i | ||||
\(503\) | 7.73353e18i | 0.949297i | 0.880175 | + | 0.474649i | \(0.157425\pi\) | ||||
−0.880175 | + | 0.474649i | \(0.842575\pi\) | |||||||
\(504\) | −2.07735e18 | − | 1.97236e18i | −0.251476 | − | 0.238766i | ||||
\(505\) | −1.62050e18 | −0.193468 | ||||||||
\(506\) | −2.31992e18 | − | 4.01822e18i | −0.273162 | − | 0.473130i | ||||
\(507\) | −5.40021e17 | − | 3.11781e17i | −0.0627126 | − | 0.0362071i | ||||
\(508\) | −1.41102e18 | + | 2.44396e18i | −0.161617 | + | 0.279930i | ||||
\(509\) | 7.89384e17 | − | 4.55751e17i | 0.0891792 | − | 0.0514877i | −0.454747 | − | 0.890621i | \(-0.650270\pi\) |
0.543926 | + | 0.839133i | \(0.316937\pi\) | |||||||
\(510\) | − | 1.74188e18i | − | 0.194100i | ||||||
\(511\) | 4.37562e18 | + | 1.05170e18i | 0.480943 | + | 0.115596i | ||||
\(512\) | −4.07619e17 | −0.0441942 | ||||||||
\(513\) | 1.39882e18 | + | 2.42283e18i | 0.149603 | + | 0.259120i | ||||
\(514\) | −5.88841e18 | − | 3.39968e18i | −0.621236 | − | 0.358671i | ||||
\(515\) | −6.18788e18 | + | 1.07177e19i | −0.644008 | + | 1.11545i | ||||
\(516\) | −7.84284e17 | + | 4.52807e17i | −0.0805240 | + | 0.0464906i | ||||
\(517\) | 8.18392e17i | 0.0828948i | ||||||||
\(518\) | −1.41274e18 | + | 5.87775e18i | −0.141174 | + | 0.587358i | ||||
\(519\) | 3.98531e16 | 0.00392908 | ||||||||
\(520\) | 1.97047e18 | + | 3.41296e18i | 0.191667 | + | 0.331977i | ||||
\(521\) | −2.88677e18 | − | 1.66668e18i | −0.277044 | − | 0.159951i | 0.355040 | − | 0.934851i | \(-0.384467\pi\) |
−0.632084 | + | 0.774899i | \(0.717800\pi\) | |||||||
\(522\) | 7.08465e18 | − | 1.22710e19i | 0.670850 | − | 1.16195i | ||||
\(523\) | −2.04274e18 | + | 1.17938e18i | −0.190854 | + | 0.110190i | −0.592382 | − | 0.805657i | \(-0.701812\pi\) |
0.401528 | + | 0.915847i | \(0.368479\pi\) | |||||||
\(524\) | 7.84595e18i | 0.723314i | ||||||||
\(525\) | 1.53430e18 | − | 1.61597e18i | 0.139571 | − | 0.147000i | ||||
\(526\) | 1.42213e19 | 1.27656 | ||||||||
\(527\) | −1.18140e19 | − | 2.04624e19i | −1.04646 | − | 1.81252i | ||||
\(528\) | 3.51756e17 | + | 2.03087e17i | 0.0307471 | + | 0.0177519i | ||||
\(529\) | 2.50479e18 | − | 4.33843e18i | 0.216064 | − | 0.374234i | ||||
\(530\) | −7.69734e18 | + | 4.44406e18i | −0.655254 | + | 0.378311i | ||||
\(531\) | − | 4.72785e18i | − | 0.397193i | ||||||
\(532\) | −1.86615e18 | − | 6.30601e18i | −0.154726 | − | 0.522845i | ||||
\(533\) | 9.69200e18 | 0.793091 | ||||||||
\(534\) | −5.15914e17 | − | 8.93589e17i | −0.0416667 | − | 0.0721688i | ||||
\(535\) | 2.50454e19 | + | 1.44600e19i | 1.99642 | + | 1.15263i | ||||
\(536\) | 1.80368e18 | − | 3.12406e18i | 0.141908 | − | 0.245791i | ||||
\(537\) | −6.26044e17 | + | 3.61447e17i | −0.0486166 | + | 0.0280688i | ||||
\(538\) | 2.08595e18i | 0.159893i | ||||||||
\(539\) | −7.02162e17 | − | 1.35325e19i | −0.0531271 | − | 1.02390i | ||||
\(540\) | −2.88293e18 | −0.215316 | ||||||||
\(541\) | −1.21947e19 | − | 2.11219e19i | −0.899065 | − | 1.55723i | −0.828692 | − | 0.559705i | \(-0.810914\pi\) |
−0.0703728 | − | 0.997521i | \(-0.522419\pi\) | |||||||
\(542\) | −5.27825e18 | − | 3.04740e18i | −0.384145 | − | 0.221786i | ||||
\(543\) | −9.59446e17 | + | 1.66181e18i | −0.0689322 | + | 0.119394i | ||||
\(544\) | 2.72537e18 | − | 1.57349e18i | 0.193301 | − | 0.111602i | ||||
\(545\) | 1.48558e19i | 1.04021i | ||||||||
\(546\) | 9.38537e17 | − | 2.77742e17i | 0.0648788 | − | 0.0191997i | ||||
\(547\) | 2.32496e19 | 1.58673 | 0.793367 | − | 0.608743i | \(-0.208326\pi\) | ||||
0.793367 | + | 0.608743i | \(0.208326\pi\) | |||||||
\(548\) | 4.66597e18 | + | 8.08170e18i | 0.314397 | + | 0.544552i | ||||
\(549\) | −5.52251e18 | − | 3.18842e18i | −0.367392 | − | 0.212114i | ||||
\(550\) | 8.07612e18 | − | 1.39882e19i | 0.530473 | − | 0.918807i | ||||
\(551\) | 2.81714e19 | − | 1.62648e19i | 1.82704 | − | 1.05484i | ||||
\(552\) | − | 5.76299e17i | − | 0.0369041i | ||||||
\(553\) | 1.70687e18 | + | 1.62060e18i | 0.107926 | + | 0.102471i | ||||
\(554\) | −1.50168e19 | −0.937582 | ||||||||
\(555\) | 1.50625e18 | + | 2.60891e18i | 0.0928640 | + | 0.160845i | ||||
\(556\) | −1.23707e19 | − | 7.14222e18i | −0.753131 | − | 0.434820i | ||||
\(557\) | −7.09209e18 | + | 1.22839e19i | −0.426371 | + | 0.738496i | −0.996547 | − | 0.0830259i | \(-0.973542\pi\) |
0.570176 | + | 0.821522i | \(0.306875\pi\) | |||||||
\(558\) | −1.67693e19 | + | 9.68177e18i | −0.995579 | + | 0.574798i | ||||
\(559\) | 1.58185e19i | 0.927436i | ||||||||
\(560\) | 6.58916e18 | + | 1.58373e18i | 0.381517 | + | 0.0916988i | ||||
\(561\) | −3.13582e18 | −0.179313 | ||||||||
\(562\) | −7.12916e18 | − | 1.23481e19i | −0.402610 | − | 0.697340i | ||||
\(563\) | 1.65687e19 | + | 9.56594e18i | 0.924123 | + | 0.533542i | 0.884948 | − | 0.465690i | \(-0.154194\pi\) |
0.0391746 | + | 0.999232i | \(0.487527\pi\) | |||||||
\(564\) | −5.08248e16 | + | 8.80311e16i | −0.00279977 | + | 0.00484934i | ||||
\(565\) | −1.42960e19 | + | 8.25377e18i | −0.777811 | + | 0.449069i | ||||
\(566\) | − | 4.37791e18i | − | 0.235262i | ||||||
\(567\) | 4.15107e18 | − | 1.72707e19i | 0.220332 | − | 0.916702i | ||||
\(568\) | −3.46735e18 | −0.181785 | ||||||||
\(569\) | 1.29329e19 | + | 2.24005e19i | 0.669746 | + | 1.16003i | 0.977975 | + | 0.208722i | \(0.0669304\pi\) |
−0.308229 | + | 0.951312i | \(0.599736\pi\) | |||||||
\(570\) | −2.83815e18 | − | 1.63861e18i | −0.145182 | − | 0.0838207i | ||||
\(571\) | 6.26423e18 | − | 1.08500e19i | 0.316530 | − | 0.548246i | −0.663231 | − | 0.748414i | \(-0.730815\pi\) |
0.979762 | + | 0.200168i | \(0.0641488\pi\) | |||||||
\(572\) | 6.14421e18 | − | 3.54736e18i | 0.306686 | − | 0.177065i | ||||
\(573\) | 6.76847e17i | 0.0333740i | ||||||||
\(574\) | 1.14754e19 | − | 1.20863e19i | 0.558966 | − | 0.588722i | ||||
\(575\) | −2.29176e19 | −1.10279 | ||||||||
\(576\) | −1.28951e18 | − | 2.23349e18i | −0.0613009 | − | 0.106176i | ||||
\(577\) | 1.42233e19 | + | 8.21181e18i | 0.667988 | + | 0.385663i | 0.795314 | − | 0.606198i | \(-0.207306\pi\) |
−0.127326 | + | 0.991861i | \(0.540639\pi\) | |||||||
\(578\) | −4.52810e18 | + | 7.84290e18i | −0.210098 | + | 0.363900i | ||||
\(579\) | −2.72293e18 | + | 1.57208e18i | −0.124821 | + | 0.0720652i | ||||
\(580\) | 3.35211e19i | 1.51818i | ||||||||
\(581\) | −1.27367e18 | − | 4.30394e18i | −0.0569934 | − | 0.192590i | ||||
\(582\) | −3.14426e18 | −0.139014 | ||||||||
\(583\) | 8.00045e18 | + | 1.38572e19i | 0.349490 | + | 0.605334i | ||||
\(584\) | 3.50885e18 | + | 2.02584e18i | 0.151452 | + | 0.0874408i | ||||
\(585\) | −1.24672e19 | + | 2.15939e19i | −0.531715 | + | 0.920958i | ||||
\(586\) | 9.39509e18 | − | 5.42426e18i | 0.395929 | − | 0.228590i | ||||
\(587\) | − | 3.59730e19i | − | 1.49799i | −0.662574 | − | 0.748996i | \(-0.730536\pi\) | ||
0.662574 | − | 0.748996i | \(-0.269464\pi\) | |||||||
\(588\) | 7.64882e17 | − | 1.49924e18i | 0.0314741 | − | 0.0616922i | ||||
\(589\) | −4.44543e19 | −1.80762 | ||||||||
\(590\) | 5.59247e18 | + | 9.68644e18i | 0.224719 | + | 0.389225i | ||||
\(591\) | −1.85533e18 | − | 1.07118e18i | −0.0736731 | − | 0.0425352i | ||||
\(592\) | −2.72130e18 | + | 4.71342e18i | −0.106788 | + | 0.184963i | ||||
\(593\) | −1.16787e19 | + | 6.74272e18i | −0.452911 | + | 0.261488i | −0.709059 | − | 0.705149i | \(-0.750880\pi\) |
0.256148 | + | 0.966638i | \(0.417547\pi\) | |||||||
\(594\) | 5.19001e18i | 0.198913i | ||||||||
\(595\) | −5.01691e19 | + | 1.48466e19i | −1.90028 | + | 0.562352i | ||||
\(596\) | −2.34665e19 | −0.878465 | ||||||||
\(597\) | 4.71855e17 | + | 8.17277e17i | 0.0174577 | + | 0.0302377i | ||||
\(598\) | −8.71771e18 | − | 5.03317e18i | −0.318782 | − | 0.184049i | ||||
\(599\) | 3.51764e18 | − | 6.09273e18i | 0.127135 | − | 0.220204i | −0.795431 | − | 0.606045i | \(-0.792755\pi\) |
0.922565 | + | 0.385841i | \(0.126089\pi\) | |||||||
\(600\) | 1.73743e18 | − | 1.00311e18i | 0.0620653 | − | 0.0358334i | ||||
\(601\) | − | 3.63144e19i | − | 1.28220i | −0.767455 | − | 0.641102i | \(-0.778477\pi\) | ||
0.767455 | − | 0.641102i | \(-0.221523\pi\) | |||||||
\(602\) | 1.97263e19 | + | 1.87293e19i | 0.688447 | + | 0.653652i | ||||
\(603\) | 2.28238e19 | 0.787348 | ||||||||
\(604\) | −3.99815e18 | − | 6.92500e18i | −0.136333 | − | 0.236136i | ||||
\(605\) | −2.06413e18 | − | 1.19173e18i | −0.0695745 | − | 0.0401688i | ||||
\(606\) | −1.81174e17 | + | 3.13803e17i | −0.00603655 | + | 0.0104556i | ||||
\(607\) | 1.05984e19 | − | 6.11900e18i | 0.349076 | − | 0.201539i | −0.315202 | − | 0.949025i | \(-0.602072\pi\) |
0.664278 | + | 0.747485i | \(0.268739\pi\) | |||||||
\(608\) | − | 5.92084e18i | − | 0.192778i | ||||||
\(609\) | 8.09475e18 | + | 1.94560e18i | 0.260545 | + | 0.0626228i | ||||
\(610\) | 1.50861e19 | 0.480029 | ||||||||
\(611\) | 8.87768e17 | + | 1.53766e18i | 0.0279261 | + | 0.0483695i | ||||
\(612\) | 1.72435e19 | + | 9.95552e18i | 0.536247 | + | 0.309602i | ||||
\(613\) | −1.29404e19 | + | 2.24135e19i | −0.397856 | + | 0.689106i | −0.993461 | − | 0.114171i | \(-0.963579\pi\) |
0.595605 | + | 0.803277i | \(0.296912\pi\) | |||||||
\(614\) | 1.06983e19 | − | 6.17664e18i | 0.325188 | − | 0.187747i | ||||
\(615\) | − | 8.30537e18i | − | 0.249593i | ||||||
\(616\) | 2.85111e18 | − | 1.18622e19i | 0.0847129 | − | 0.352451i | ||||
\(617\) | 1.38916e19 | 0.408091 | 0.204045 | − | 0.978961i | \(-0.434591\pi\) | ||||
0.204045 | + | 0.978961i | \(0.434591\pi\) | |||||||
\(618\) | 1.38363e18 | + | 2.39652e18i | 0.0401885 | + | 0.0696085i | ||||
\(619\) | −1.19128e19 | − | 6.87784e18i | −0.342120 | − | 0.197523i | 0.319089 | − | 0.947725i | \(-0.396623\pi\) |
−0.661209 | + | 0.750202i | \(0.729956\pi\) | |||||||
\(620\) | 2.29047e19 | − | 3.96721e19i | 0.650404 | − | 1.12653i | ||||
\(621\) | 6.37727e18 | − | 3.68192e18i | 0.179058 | − | 0.103379i | ||||
\(622\) | 8.42182e18i | 0.233816i | ||||||||
\(623\) | −2.13396e19 | + | 2.24756e19i | −0.585828 | + | 0.617013i | ||||
\(624\) | 8.81210e17 | 0.0239215 | ||||||||
\(625\) | 5.99441e18 | + | 1.03826e19i | 0.160911 | + | 0.278706i | ||||
\(626\) | −3.91102e19 | − | 2.25803e19i | −1.03817 | − | 0.599389i | ||||
\(627\) | −2.94992e18 | + | 5.10941e18i | −0.0774349 | + | 0.134121i | ||||
\(628\) | 4.29045e18 | − | 2.47709e18i | 0.111374 | − | 0.0643020i | ||||
\(629\) | − | 4.20190e19i | − | 1.07868i | ||||||
\(630\) | 1.21671e19 | + | 4.11145e19i | 0.308889 | + | 1.04379i | ||||
\(631\) | 1.52607e19 | 0.383149 | 0.191575 | − | 0.981478i | \(-0.438641\pi\) | ||||
0.191575 | + | 0.981478i | \(0.438641\pi\) | |||||||
\(632\) | 1.05953e18 | + | 1.83516e18i | 0.0263084 | + | 0.0455674i | ||||
\(633\) | −1.77377e18 | − | 1.02409e18i | −0.0435584 | − | 0.0251485i | ||||
\(634\) | −2.00528e19 | + | 3.47325e19i | −0.487025 | + | 0.843551i | ||||
\(635\) | 3.65817e19 | − | 2.11205e19i | 0.878715 | − | 0.507326i | ||||
\(636\) | 1.98742e18i | 0.0472160i | ||||||||
\(637\) | −1.59989e19 | − | 2.46642e19i | −0.375937 | − | 0.579550i | ||||
\(638\) | 6.03466e19 | 1.40252 | ||||||||
\(639\) | −1.09690e19 | − | 1.89989e19i | −0.252151 | − | 0.436738i | ||||
\(640\) | 5.28390e18 | + | 3.05066e18i | 0.120142 | + | 0.0693640i | ||||
\(641\) | 3.71311e18 | − | 6.43129e18i | 0.0835086 | − | 0.144641i | −0.821246 | − | 0.570574i | \(-0.806721\pi\) |
0.904755 | + | 0.425933i | \(0.140054\pi\) | |||||||
\(642\) | 5.60024e18 | − | 3.23330e18i | 0.124584 | − | 0.0719285i | ||||
\(643\) | 7.17838e19i | 1.57961i | 0.613359 | + | 0.789804i | \(0.289818\pi\) | ||||
−0.613359 | + | 0.789804i | \(0.710182\pi\) | |||||||
\(644\) | −1.65984e19 | + | 4.91199e18i | −0.361298 | + | 0.106919i | ||||
\(645\) | 1.35554e19 | 0.291873 | ||||||||
\(646\) | 2.28556e19 | + | 3.95871e19i | 0.486817 | + | 0.843191i | ||||
\(647\) | −3.96155e19 | − | 2.28720e19i | −0.834709 | − | 0.481919i | 0.0207534 | − | 0.999785i | \(-0.493394\pi\) |
−0.855462 | + | 0.517865i | \(0.826727\pi\) | |||||||
\(648\) | 7.99602e18 | − | 1.38495e19i | 0.166667 | − | 0.288675i | ||||
\(649\) | 1.74381e19 | − | 1.00679e19i | 0.359572 | − | 0.207599i | ||||
\(650\) | − | 3.50430e19i | − | 0.714837i | ||||||
\(651\) | −8.25069e18 | − | 7.83368e18i | −0.166503 | − | 0.158088i | ||||
\(652\) | −2.71814e19 | −0.542674 | ||||||||
\(653\) | 3.50394e19 | + | 6.06900e19i | 0.692092 | + | 1.19874i | 0.971151 | + | 0.238465i | \(0.0766442\pi\) |
−0.279059 | + | 0.960274i | \(0.590022\pi\) | |||||||
\(654\) | 2.87676e18 | + | 1.66090e18i | 0.0562160 | + | 0.0324563i | ||||
\(655\) | 5.87199e19 | − | 1.01706e20i | 1.13526 | − | 1.96633i | ||||
\(656\) | 1.29947e19 | − | 7.50251e18i | 0.248565 | − | 0.143509i | ||||
\(657\) | 2.56350e19i | 0.485150i | ||||||||
\(658\) | 2.96865e18 | + | 7.13524e17i | 0.0555875 | + | 0.0133606i | ||||
\(659\) | 8.31252e19 | 1.54005 | 0.770025 | − | 0.638014i | \(-0.220244\pi\) | ||||
0.770025 | + | 0.638014i | \(0.220244\pi\) | |||||||
\(660\) | −3.03984e18 | − | 5.26516e18i | −0.0557241 | − | 0.0965170i | ||||
\(661\) | −4.42710e19 | − | 2.55599e19i | −0.802988 | − | 0.463605i | 0.0415269 | − | 0.999137i | \(-0.486778\pi\) |
−0.844515 | + | 0.535532i | \(0.820111\pi\) | |||||||
\(662\) | 2.48149e19 | − | 4.29807e19i | 0.445355 | − | 0.771378i | ||||
\(663\) | −5.89183e18 | + | 3.40165e18i | −0.104630 | + | 0.0604081i | ||||
\(664\) | − | 4.04106e18i | − | 0.0710098i | ||||||
\(665\) | −2.30043e19 | + | 9.57102e19i | −0.399997 | + | 1.66420i | ||||
\(666\) | −3.44354e19 | −0.592496 | ||||||||
\(667\) | −4.28114e19 | − | 7.41515e19i | −0.728918 | − | 1.26252i | ||||
\(668\) | −5.37534e18 | − | 3.10345e18i | −0.0905671 | − | 0.0522890i | ||||
\(669\) | 1.88278e18 | − | 3.26106e18i | 0.0313918 | − | 0.0543721i | ||||
\(670\) | −4.67615e19 | + | 2.69978e19i | −0.771552 | + | 0.445456i | ||||
\(671\) | − | 2.71588e19i | − | 0.443458i | ||||||
\(672\) | 1.04336e18 | − | 1.09890e18i | 0.0168597 | − | 0.0177572i | ||||
\(673\) | −1.21090e20 | −1.93644 | −0.968219 | − | 0.250104i | \(-0.919535\pi\) | ||||
−0.968219 | + | 0.250104i | \(0.919535\pi\) | |||||||
\(674\) | 3.45768e18 | + | 5.98888e18i | 0.0547225 | + | 0.0947821i | ||||
\(675\) | 2.22006e19 | + | 1.28175e19i | 0.347726 | + | 0.200760i | ||||
\(676\) | −8.43135e18 | + | 1.46035e19i | −0.130698 | + | 0.226376i | ||||
\(677\) | 1.25953e18 | − | 7.27191e17i | 0.0193236 | − | 0.0111565i | −0.490307 | − | 0.871550i | \(-0.663115\pi\) |
0.509631 | + | 0.860393i | \(0.329782\pi\) | |||||||
\(678\) | 3.69115e18i | 0.0560471i | ||||||||
\(679\) | 2.67996e19 | + | 9.05603e19i | 0.402754 | + | 1.36097i | ||||
\(680\) | −4.71047e19 | −0.700651 | ||||||||
\(681\) | 3.63041e18 | + | 6.28806e18i | 0.0534473 | + | 0.0925735i | ||||
\(682\) | −7.14200e19 | − | 4.12343e19i | −1.04071 | − | 0.600853i | ||||
\(683\) | −6.49060e19 | + | 1.12420e20i | −0.936138 | + | 1.62144i | −0.163545 | + | 0.986536i | \(0.552293\pi\) |
−0.772593 | + | 0.634902i | \(0.781041\pi\) | |||||||
\(684\) | 3.24424e19 | − | 1.87306e19i | 0.463148 | − | 0.267399i | ||||
\(685\) | − | 1.39682e20i | − | 1.97382i | ||||||
\(686\) | −4.97001e19 | − | 9.25140e18i | −0.695166 | − | 0.129401i | ||||
\(687\) | −1.06348e19 | −0.147243 | ||||||||
\(688\) | 1.22450e19 | + | 2.12090e19i | 0.167819 | + | 0.290671i | ||||
\(689\) | 3.00638e19 | + | 1.73573e19i | 0.407858 | + | 0.235477i | ||||
\(690\) | −4.31308e18 | + | 7.47047e18i | −0.0579220 | + | 0.100324i | ||||
\(691\) | 5.86115e19 | − | 3.38393e19i | 0.779177 | − | 0.449858i | −0.0569615 | − | 0.998376i | \(-0.518141\pi\) |
0.836139 | + | 0.548518i | \(0.184808\pi\) | |||||||
\(692\) | − | 1.07773e18i | − | 0.0141829i | ||||||
\(693\) | 7.40166e19 | − | 2.19038e19i | 0.964266 | − | 0.285356i | ||||
\(694\) | 5.09049e19 | 0.656512 | ||||||||
\(695\) | 1.06906e20 | + | 1.85167e20i | 1.36493 | + | 2.36412i | ||||
\(696\) | 6.49125e18 | + | 3.74772e18i | 0.0820471 | + | 0.0473699i | ||||
\(697\) | −5.79224e19 | + | 1.00325e20i | −0.724799 | + | 1.25539i | ||||
\(698\) | −5.21514e19 | + | 3.01096e19i | −0.646068 | + | 0.373007i | ||||
\(699\) | − | 1.05757e19i | − | 0.129708i | ||||||
\(700\) | −4.36999e19 | − | 4.14912e19i | −0.530633 | − | 0.503814i | ||||
\(701\) | 3.16145e19 | 0.380067 | 0.190033 | − | 0.981778i | \(-0.439140\pi\) | ||||
0.190033 | + | 0.981778i | \(0.439140\pi\) | |||||||
\(702\) | 5.62997e18 | + | 9.75139e18i | 0.0670110 | + | 0.116066i | ||||
\(703\) | −6.84644e19 | − | 3.95279e19i | −0.806821 | − | 0.465818i | ||||
\(704\) | 5.49197e18 | − | 9.51238e18i | 0.0640796 | − | 0.110989i | ||||
\(705\) | 1.31767e18 | − | 7.60755e17i | 0.0152224 | − | 0.00878863i | ||||
\(706\) | − | 6.50228e19i | − | 0.743760i | ||||||
\(707\) | 1.05823e19 | + | 2.54349e18i | 0.119852 | + | 0.0288067i | ||||
\(708\) | 2.50099e18 | 0.0280466 | ||||||||
\(709\) | −2.68391e19 | − | 4.64867e19i | −0.298020 | − | 0.516185i | 0.677663 | − | 0.735372i | \(-0.262993\pi\) |
−0.975683 | + | 0.219187i | \(0.929659\pi\) | |||||||
\(710\) | 4.49467e19 | + | 2.59500e19i | 0.494184 | + | 0.285317i | ||||
\(711\) | −6.70367e18 | + | 1.16111e19i | −0.0729836 | + | 0.126411i | ||||
\(712\) | −2.41649e19 | + | 1.39516e19i | −0.260510 | + | 0.150406i | ||||
\(713\) | 1.17011e20i | 1.24910i | ||||||||
\(714\) | −2.73400e18 | + | 1.13749e19i | −0.0289009 | + | 0.120243i | ||||
\(715\) | −1.06195e20 | −1.11164 | ||||||||
\(716\) | 9.77442e18 | + | 1.69298e19i | 0.101321 | + | 0.175493i | ||||
\(717\) | −1.90708e19 | − | 1.10105e19i | −0.195764 | − | 0.113025i | ||||
\(718\) | −3.85782e19 | + | 6.68194e19i | −0.392167 | + | 0.679252i | ||||
\(719\) | −3.56296e19 | + | 2.05707e19i | −0.358681 | + | 0.207084i | −0.668502 | − | 0.743710i | \(-0.733064\pi\) |
0.309821 | + | 0.950795i | \(0.399731\pi\) | |||||||
\(720\) | 3.86032e19i | 0.384854i | ||||||||
\(721\) | 5.72308e19 | − | 6.02774e19i | 0.565045 | − | 0.595124i | ||||
\(722\) | 1.36847e19 | 0.133806 | ||||||||
\(723\) | −7.34581e18 | − | 1.27233e19i | −0.0711331 | − | 0.123206i | ||||
\(724\) | 4.49395e19 | + | 2.59458e19i | 0.430981 | + | 0.248827i | ||||
\(725\) | 1.49035e20 | − | 2.58136e20i | 1.41554 | − | 2.45179i | ||||
\(726\) | −4.61547e17 | + | 2.66474e17i | −0.00434170 | + | 0.00250668i | ||||
\(727\) | − | 2.36120e19i | − | 0.219985i | −0.993932 | − | 0.109992i | \(-0.964917\pi\) | ||
0.993932 | − | 0.109992i | \(-0.0350826\pi\) | |||||||
\(728\) | −7.51085e18 | − | 2.53804e19i | −0.0693058 | − | 0.234196i | ||||
\(729\) | 9.70236e19 | 0.886716 | ||||||||
\(730\) | −3.03231e19 | − | 5.25211e19i | −0.274482 | − | 0.475416i | ||||
\(731\) | −1.63742e20 | − | 9.45366e19i | −1.46804 | − | 0.847575i | ||||
\(732\) | 1.68665e18 | − | 2.92136e18i | 0.0149778 | − | 0.0259423i | ||||
\(733\) | 1.32075e20 | − | 7.62537e19i | 1.16170 | − | 0.670707i | 0.209988 | − | 0.977704i | \(-0.432657\pi\) |
0.951711 | + | 0.306997i | \(0.0993241\pi\) | |||||||
\(734\) | − | 1.07446e20i | − | 0.936087i | ||||||
\(735\) | −2.11355e19 | + | 1.37100e19i | −0.182390 | + | 0.118311i | ||||
\(736\) | −1.55846e19 | −0.133214 | ||||||||
\(737\) | 4.86029e19 | + | 8.41828e19i | 0.411519 | + | 0.712772i | ||||
\(738\) | 8.22179e19 | + | 4.74685e19i | 0.689560 | + | 0.398118i | ||||
\(739\) | −1.38430e19 | + | 2.39767e19i | −0.115005 | + | 0.199195i | −0.917782 | − | 0.397085i | \(-0.870022\pi\) |
0.802776 | + | 0.596280i | \(0.203355\pi\) | |||||||
\(740\) | 7.05514e19 | − | 4.07329e19i | 0.580609 | − | 0.335215i | ||||
\(741\) | 1.27999e19i | 0.104347i | ||||||||
\(742\) | 5.72411e19 | − | 1.69394e19i | 0.462254 | − | 0.136795i | ||||
\(743\) | −6.54827e19 | −0.523848 | −0.261924 | − | 0.965089i | \(-0.584357\pi\) | ||||
−0.261924 | + | 0.965089i | \(0.584357\pi\) | |||||||
\(744\) | −5.12157e18 | − | 8.87083e18i | −0.0405876 | − | 0.0702997i | ||||
\(745\) | 3.04192e20 | + | 1.75625e20i | 2.38811 | + | 1.37878i | ||||
\(746\) | 1.71823e19 | − | 2.97606e19i | 0.133632 | − | 0.231457i | ||||
\(747\) | 2.21424e19 | − | 1.27839e19i | 0.170601 | − | 0.0984963i | ||||
\(748\) | 8.48005e19i | 0.647273i | ||||||||
\(749\) | −1.40857e20 | − | 1.33738e20i | −1.06514 | − | 1.01131i | ||||
\(750\) | −9.50937e18 | −0.0712399 | ||||||||
\(751\) | −7.40212e19 | − | 1.28208e20i | −0.549384 | − | 0.951562i | −0.998317 | − | 0.0579959i | \(-0.981529\pi\) |
0.448932 | − | 0.893566i | \(-0.351804\pi\) | |||||||
\(752\) | 2.38058e18 | + | 1.37443e18i | 0.0175048 | + | 0.0101064i | ||||
\(753\) | 1.43369e19 | − | 2.48322e19i | 0.104446 | − | 0.180905i | ||||
\(754\) | 1.13384e20 | − | 6.54623e19i | 0.818375 | − | 0.472489i | ||||
\(755\) | 1.19690e20i | 0.855914i | ||||||||
\(756\) | 1.88263e19 | + | 4.52496e18i | 0.133387 | + | 0.0320599i | ||||
\(757\) | 1.06274e19 | 0.0746029 | 0.0373014 | − | 0.999304i | \(-0.488124\pi\) | ||||
0.0373014 | + | 0.999304i | \(0.488124\pi\) | |||||||
\(758\) | −8.45378e19 | − | 1.46424e20i | −0.587985 | − | 1.01842i | ||||
\(759\) | 1.34488e19 | + | 7.76465e18i | 0.0926808 | + | 0.0535093i | ||||
\(760\) | −4.43121e19 | + | 7.67508e19i | −0.302571 | + | 0.524068i | ||||
\(761\) | −1.24646e20 | + | 7.19646e19i | −0.843310 | + | 0.486885i | −0.858388 | − | 0.513001i | \(-0.828534\pi\) |
0.0150781 | + | 0.999886i | \(0.495200\pi\) | |||||||
\(762\) | − | 9.44522e18i | − | 0.0633180i | ||||||
\(763\) | 2.33172e19 | − | 9.70122e19i | 0.154883 | − | 0.644399i | ||||
\(764\) | 1.83036e19 | 0.120471 | ||||||||
\(765\) | −1.49016e20 | − | 2.58104e20i | −0.971859 | − | 1.68331i | ||||
\(766\) | 1.11925e20 | + | 6.46201e19i | 0.723314 | + | 0.417606i | ||||
\(767\) | 2.18427e19 | − | 3.78326e19i | 0.139875 | − | 0.242270i | ||||
\(768\) | 1.18150e18 | − | 6.82139e17i | 0.00749730 | − | 0.00432857i | ||||
\(769\) | 2.54467e20i | 1.60010i | 0.599934 | + | 0.800049i | \(0.295193\pi\) | ||||
−0.599934 | + | 0.800049i | \(0.704807\pi\) | |||||||
\(770\) | −1.25736e20 | + | 1.32429e20i | −0.783475 | + | 0.825181i | ||||
\(771\) | 2.27570e19 | 0.140519 | ||||||||
\(772\) | 4.25131e19 | + | 7.36348e19i | 0.260137 | + | 0.450570i | ||||
\(773\) | −1.54579e20 | − | 8.92463e19i | −0.937334 | − | 0.541170i | −0.0482107 | − | 0.998837i | \(-0.515352\pi\) |
−0.889124 | + | 0.457667i | \(0.848685\pi\) | |||||||
\(774\) | −7.74745e19 | + | 1.34190e20i | −0.465556 | + | 0.806367i | ||||
\(775\) | −3.52765e20 | + | 2.03669e20i | −2.10074 | + | 1.21287i | ||||
\(776\) | 8.50288e19i | 0.501804i | ||||||||
\(777\) | −5.74138e18 | − | 1.94011e19i | −0.0335791 | − | 0.113469i | ||||
\(778\) | 1.66883e20 | 0.967286 | ||||||||
\(779\) | 1.08977e20 | + | 1.88754e20i | 0.625998 | + | 1.08426i | ||||
\(780\) | −1.14230e19 | − | 6.59506e18i | −0.0650305 | − | 0.0375454i | ||||
\(781\) | 4.67166e19 | − | 8.09155e19i | 0.263581 | − | 0.456536i | ||||
\(782\) | 1.04200e20 | − | 6.01596e19i | 0.582664 | − | 0.336401i | ||||
\(783\) | 9.57754e19i | 0.530788i | ||||||||
\(784\) | −4.05432e19 | − | 2.06843e19i | −0.222693 | − | 0.113613i | ||||
\(785\) | −7.41552e19 | −0.403695 | ||||||||
\(786\) | −1.31300e19 | − | 2.27418e19i | −0.0708445 | − | 0.122706i | ||||
\(787\) | −1.60532e19 | − | 9.26830e18i | −0.0858495 | − | 0.0495652i | 0.456461 | − | 0.889744i | \(-0.349117\pi\) |
−0.542310 | + | 0.840178i | \(0.682450\pi\) | |||||||
\(788\) | −2.89673e19 | + | 5.01728e19i | −0.153541 | + | 0.265941i | ||||
\(789\) | −4.12210e19 | + | 2.37990e19i | −0.216561 | + | 0.125031i | ||||
\(790\) | − | 3.17185e19i | − | 0.165167i | ||||||
\(791\) | 1.06311e20 | − | 3.14609e19i | 0.548712 | − | 0.162381i | ||||
\(792\) | 6.94956e19 | 0.355534 | ||||||||
\(793\) | −2.94611e19 | − | 5.10281e19i | −0.149395 | − | 0.258760i | ||||
\(794\) | 4.51126e19 | + | 2.60458e19i | 0.226754 | + | 0.130916i | ||||
\(795\) | 1.48740e19 | − | 2.57626e19i | 0.0741069 | − | 0.128357i | ||||
\(796\) | 2.21012e19 | − | 1.27601e19i | 0.109150 | − | 0.0630179i | ||||
\(797\) | 1.10066e19i | 0.0538824i | 0.999637 | + | 0.0269412i | \(0.00857669\pi\) | ||||
−0.999637 | + | 0.0269412i | \(0.991423\pi\) | |||||||
\(798\) | 1.59620e19 | + | 1.51553e19i | 0.0774582 | + | 0.0735433i | ||||
\(799\) | −2.12223e19 | −0.102086 | ||||||||
\(800\) | −2.71265e19 | − | 4.69845e19i | −0.129349 | − | 0.224039i | ||||
\(801\) | −1.52892e20 | − | 8.82721e19i | −0.722697 | − | 0.417250i | ||||
\(802\) | −2.92960e19 | + | 5.07421e19i | −0.137274 | + | 0.237765i | ||||
\(803\) | −9.45515e19 | + | 5.45893e19i | −0.439197 | + | 0.253571i | ||||
\(804\) | 1.20736e19i | 0.0555961i | ||||||||
\(805\) | 2.51924e20 | + | 6.05508e19i | 1.15000 | + | 0.276407i | ||||
\(806\) | −1.78919e20 | −0.809677 | ||||||||
\(807\) | −3.49078e18 | − | 6.04621e18i | −0.0156606 | − | 0.0271249i | ||||
\(808\) | 8.48603e18 | + | 4.89941e18i | 0.0377420 | + | 0.0217904i | ||||
\(809\) | −3.90760e19 | + | 6.76815e19i | −0.172294 | + | 0.298422i | −0.939221 | − | 0.343312i | \(-0.888451\pi\) |
0.766928 | + | 0.641734i | \(0.221785\pi\) | |||||||
\(810\) | −2.07302e20 | + | 1.19686e20i | −0.906168 | + | 0.523176i | ||||
\(811\) | − | 7.50980e19i | − | 0.325448i | −0.986672 | − | 0.162724i | \(-0.947972\pi\) | ||
0.986672 | − | 0.162724i | \(-0.0520281\pi\) | |||||||
\(812\) | 5.26139e19 | − | 2.18902e20i | 0.226052 | − | 0.940498i | ||||
\(813\) | 2.03989e19 | 0.0868908 | ||||||||
\(814\) | −7.33296e19 | − | 1.27011e20i | −0.309677 | − | 0.536376i | ||||
\(815\) | 3.52348e20 | + | 2.03428e20i | 1.47526 | + | 0.851742i | ||||
\(816\) | −5.26639e18 | + | 9.12165e18i | −0.0218616 | + | 0.0378654i | ||||
\(817\) | −3.08069e20 | + | 1.77864e20i | −1.26793 | + | 0.732038i | ||||
\(818\) | − | 1.88541e20i | − | 0.769367i | ||||||
\(819\) | 1.15308e20 | − | 1.21446e20i | 0.466521 | − | 0.491355i | ||||
\(820\) | −2.24598e20 | −0.900967 | ||||||||
\(821\) | −5.92927e19 | − | 1.02698e20i | −0.235830 | − | 0.408470i | 0.723683 | − | 0.690132i | \(-0.242448\pi\) |
−0.959514 | + | 0.281662i | \(0.909114\pi\) | |||||||
\(822\) | −2.70490e19 | − | 1.56167e19i | −0.106671 | − | 0.0615868i | ||||
\(823\) | 9.29655e19 | − | 1.61021e20i | 0.363515 | − | 0.629627i | −0.625021 | − | 0.780608i | \(-0.714910\pi\) |
0.988537 | + | 0.150981i | \(0.0482431\pi\) | |||||||
\(824\) | 6.48080e19 | − | 3.74169e19i | 0.251268 | − | 0.145070i | ||||
\(825\) | 5.40606e19i | 0.207827i | ||||||||
\(826\) | −2.13168e19 | − | 7.20329e19i | −0.0812571 | − | 0.274581i | ||||
\(827\) | −1.32871e20 | −0.502218 | −0.251109 | − | 0.967959i | \(-0.580795\pi\) | ||||
−0.251109 | + | 0.967959i | \(0.580795\pi\) | |||||||
\(828\) | −4.93020e19 | − | 8.53935e19i | −0.184779 | − | 0.320046i | ||||
\(829\) | −6.99071e19 | − | 4.03609e19i | −0.259800 | − | 0.149996i | 0.364443 | − | 0.931226i | \(-0.381259\pi\) |
−0.624244 | + | 0.781230i | \(0.714593\pi\) | |||||||
\(830\) | −3.02436e19 | + | 5.23835e19i | −0.111452 | + | 0.193040i | ||||
\(831\) | 4.35267e19 | − | 2.51302e19i | 0.159056 | − | 0.0918308i | ||||
\(832\) | − | 2.38301e19i | − | 0.0863502i | ||||||
\(833\) | 3.50921e20 | − | 1.82083e19i | 1.26094 | − | 0.0654266i | ||||
\(834\) | 4.78092e19 | 0.170353 | ||||||||
\(835\) | 4.64531e19 | + | 8.04591e19i | 0.164138 | + | 0.284295i | ||||
\(836\) | 1.38171e20 | + | 7.97731e19i | 0.484143 | + | 0.279520i | ||||
\(837\) | 6.54425e19 | − | 1.13350e20i | 0.227395 | − | 0.393860i | ||||
\(838\) | −4.04614e19 | + | 2.33604e19i | −0.139422 | + | 0.0804956i | ||||
\(839\) | − | 1.89707e20i | − | 0.648262i | −0.946012 | − | 0.324131i | \(-0.894928\pi\) | ||
0.946012 | − | 0.324131i | \(-0.105072\pi\) | |||||||
\(840\) | −2.17492e19 | + | 6.43627e18i | −0.0737036 | + | 0.0218112i | ||||
\(841\) | 8.16067e20 | 2.74255 | ||||||||
\(842\) | 7.68378e19 | + | 1.33087e20i | 0.256088 | + | 0.443558i | ||||
\(843\) | 4.13283e19 | + | 2.38609e19i | 0.136601 | + | 0.0788667i | ||||
\(844\) | −2.76939e19 | + | 4.79672e19i | −0.0907793 | + | 0.157234i | ||||
\(845\) | 2.18588e20 | − | 1.26202e20i | 0.710608 | − | 0.410270i | ||||
\(846\) | 1.73921e19i | 0.0560737i | ||||||||
\(847\) | 1.16088e19 | + | 1.10221e19i | 0.0371198 | + | 0.0352437i | ||||
\(848\) | 5.37447e19 | 0.170437 | ||||||||
\(849\) | 7.32630e18 | + | 1.26895e19i | 0.0230426 | + | 0.0399109i | ||||
\(850\) | 3.62739e20 | + | 2.09428e20i | 1.13152 | + | 0.653283i | ||||
\(851\) | −1.04044e20 | + | 1.80209e20i | −0.321891 | + | 0.557532i | ||||
\(852\) | 1.00502e19 | − | 5.80251e18i | 0.0308389 | − | 0.0178049i | ||||
\(853\) | 1.23365e20i | 0.375447i | 0.982222 | + | 0.187724i | \(0.0601109\pi\) | ||||
−0.982222 | + | 0.187724i | \(0.939889\pi\) | |||||||
\(854\) | −9.85161e19 | − | 2.36787e19i | −0.297374 | − | 0.0714747i | ||||
\(855\) | −5.60727e20 | −1.67876 | ||||||||
\(856\) | −8.74366e19 | − | 1.51445e20i | −0.259643 | − | 0.449715i | ||||
\(857\) | −2.80012e19 | − | 1.61665e19i | −0.0824730 | − | 0.0476158i | 0.458196 | − | 0.888851i | \(-0.348496\pi\) |
−0.540669 | + | 0.841235i | \(0.681829\pi\) | |||||||
\(858\) | −1.18728e19 | + | 2.05643e19i | −0.0346850 | + | 0.0600763i | ||||
\(859\) | 2.44721e20 | − | 1.41290e20i | 0.709120 | − | 0.409411i | −0.101615 | − | 0.994824i | \(-0.532401\pi\) |
0.810735 | + | 0.585413i | \(0.199068\pi\) | |||||||
\(860\) | − | 3.66572e20i | − | 1.05359i | ||||||
\(861\) | −1.30359e19 | + | 5.42364e19i | −0.0371637 | + | 0.154621i | ||||
\(862\) | 2.50971e20 | 0.709697 | ||||||||
\(863\) | −1.14283e20 | − | 1.97945e20i | −0.320559 | − | 0.555224i | 0.660045 | − | 0.751226i | \(-0.270537\pi\) |
−0.980603 | + | 0.196002i | \(0.937204\pi\) | |||||||
\(864\) | 1.50970e19 | + | 8.71624e18i | 0.0420043 | + | 0.0242512i | ||||
\(865\) | −8.06581e18 | + | 1.39704e19i | −0.0222605 | + | 0.0385563i | ||||
\(866\) | −4.04022e20 | + | 2.33262e20i | −1.10606 | + | 0.638586i | ||||
\(867\) | − | 3.03106e19i | − | 0.0823115i | ||||||
\(868\) | −2.11842e20 | + | 2.23119e20i | −0.570656 | + | 0.601034i | ||||
\(869\) | −5.71014e19 | −0.152584 | ||||||||
\(870\) | −5.60966e19 | − | 9.71622e19i | −0.148697 | − | 0.257551i | ||||
\(871\) | 1.82638e20 | + | 1.05446e20i | 0.480247 | + | 0.277270i | ||||
\(872\) | 4.49149e19 | − | 7.77949e19i | 0.117159 | − | 0.202925i | ||||
\(873\) | −4.65903e20 | + | 2.68989e20i | −1.20558 | + | 0.696042i | ||||
\(874\) | − | 2.26372e20i | − | 0.581090i | ||||||
\(875\) | 8.10515e19 | + | 2.73886e20i | 0.206398 | + | 0.697452i | ||||
\(876\) | −1.35607e19 | −0.0342573 | ||||||||
\(877\) | −1.45512e20 | − | 2.52034e20i | −0.364671 | − | 0.631629i | 0.624052 | − | 0.781383i | \(-0.285485\pi\) |
−0.988723 | + | 0.149754i | \(0.952152\pi\) | |||||||
\(878\) | −3.69740e20 | − | 2.13469e20i | −0.919251 | − | 0.530730i | ||||
\(879\) | −1.81547e19 | + | 3.14448e19i | −0.0447782 | + | 0.0775581i | ||||
\(880\) | −1.42383e20 | + | 8.22049e19i | −0.348401 | + | 0.201150i | ||||
\(881\) | 4.53668e20i | 1.10130i | 0.834735 | + | 0.550651i | \(0.185621\pi\) | ||||
−0.834735 | + | 0.550651i | \(0.814379\pi\) | |||||||
\(882\) | −1.49220e19 | − | 2.87586e20i | −0.0359375 | − | 0.692608i | ||||
\(883\) | 6.73323e20 | 1.60879 | 0.804394 | − | 0.594096i | \(-0.202490\pi\) | ||||
0.804394 | + | 0.594096i | \(0.202490\pi\) | |||||||
\(884\) | 9.19892e19 | + | 1.59330e20i | 0.218057 | + | 0.377687i | ||||
\(885\) | −3.24199e19 | − | 1.87177e19i | −0.0762447 | − | 0.0440199i | ||||
\(886\) | −9.04913e19 | + | 1.56735e20i | −0.211140 | + | 0.365705i | ||||
\(887\) | 5.53484e20 | − | 3.19554e20i | 1.28127 | − | 0.739740i | 0.304187 | − | 0.952612i | \(-0.401615\pi\) |
0.977080 | + | 0.212872i | \(0.0682819\pi\) | |||||||
\(888\) | − | 1.82160e19i | − | 0.0418372i | ||||||
\(889\) | −2.72039e20 | + | 8.05047e19i | −0.619895 | + | 0.183446i | ||||
\(890\) | 4.17661e20 | 0.944264 | ||||||||
\(891\) | 2.15465e20 | + | 3.73197e20i | 0.483319 | + | 0.837133i | ||||
\(892\) | −8.81873e19 | − | 5.09150e19i | −0.196269 | − | 0.113316i | ||||
\(893\) | −1.99641e19 | + | 3.45789e19i | −0.0440850 | + | 0.0763574i | ||||
\(894\) | 6.80185e19 | − | 3.92705e19i | 0.149027 | − | 0.0860406i | ||||
\(895\) | − | 2.92611e20i | − | 0.636106i | ||||||
\(896\) | −2.97171e19 | − | 2.82151e19i | −0.0640988 | − | 0.0608592i | ||||
\(897\) | 3.36915e19 | 0.0721062 | ||||||||
\(898\) | 2.16712e20 | + | 3.75357e20i | 0.460203 | + | 0.797095i | ||||
\(899\) | −1.31797e21 | − | 7.60931e20i | −2.77708 | − | 1.60335i | ||||
\(900\) | 1.71630e20 | − | 2.97272e20i | 0.358836 | − | 0.621521i | ||||
\(901\) | −3.59341e20 | + | 2.07466e20i | −0.745475 | + | 0.430400i | ||||
\(902\) | 4.04334e20i | 0.832328i | ||||||||
\(903\) | −8.85204e19 | − | 2.12762e19i | −0.180813 | − | 0.0434590i | ||||
\(904\) | 9.98178e19 | 0.202315 | ||||||||
\(905\) | −3.88362e20 | − | 6.72663e20i | −0.781082 | − | 1.35287i | ||||
\(906\) | 2.31776e19 | + | 1.33816e19i | 0.0462563 | + | 0.0267061i | ||||
\(907\) | −3.09468e20 | + | 5.36014e20i | −0.612865 | + | 1.06151i | 0.377890 | + | 0.925850i | \(0.376650\pi\) |
−0.990755 | + | 0.135663i | \(0.956684\pi\) | |||||||
\(908\) | 1.70045e20 | − | 9.81754e19i | 0.334166 | − | 0.192931i | ||||
\(909\) | 6.19973e19i | 0.120900i | ||||||||
\(910\) | −9.25874e19 | + | 3.85214e20i | −0.179169 | + | 0.745439i | ||||
\(911\) | −2.94910e20 | −0.566319 | −0.283160 | − | 0.959073i | \(-0.591383\pi\) | ||||
−0.283160 | + | 0.959073i | \(0.591383\pi\) | |||||||
\(912\) | 9.90834e18 | + | 1.71618e19i | 0.0188815 | + | 0.0327038i | ||||
\(913\) | 9.43038e19 | + | 5.44463e19i | 0.178334 | + | 0.102961i | ||||
\(914\) | −1.18981e20 | + | 2.06081e20i | −0.223282 | + | 0.386736i | ||||
\(915\) | −4.37275e19 | + | 2.52461e19i | −0.0814342 | + | 0.0470161i | ||||
\(916\) | 2.87593e20i | 0.531508i | ||||||||
\(917\) | −5.43091e20 | + | 5.72002e20i | −0.996065 | + | 1.04909i | ||||
\(918\) | −1.34586e20 | −0.244963 | ||||||||
\(919\) | 1.77482e20 | + | 3.07407e20i | 0.320586 | + | 0.555271i | 0.980609 | − | 0.195974i | \(-0.0627868\pi\) |
−0.660023 | + | 0.751245i | \(0.729453\pi\) | |||||||
\(920\) | 2.02020e20 | + | 1.16636e20i | 0.362143 | + | 0.209083i | ||||
\(921\) | −2.06729e19 | + | 3.58064e19i | −0.0367776 | + | 0.0637006i | ||||
\(922\) | 5.25305e20 | − | 3.03285e20i | 0.927459 | − | 0.535469i | ||||
\(923\) | − | 2.02707e20i | − | 0.355187i | ||||||
\(924\) | 1.15869e19 | + | 3.91542e19i | 0.0201495 | + | 0.0680886i | ||||
\(925\) | −7.24394e20 | −1.25021 | ||||||||
\(926\) | 7.45891e19 | + | 1.29192e20i | 0.127761 | + | 0.221289i | ||||
\(927\) | 4.10041e20 | + | 2.36737e20i | 0.697059 | + | 0.402447i | ||||
\(928\) | 1.01348e20 | − | 1.75540e20i | 0.170993 | − | 0.296169i | ||||
\(929\) | 1.23820e20 | − | 7.14877e19i | 0.207340 | − | 0.119708i | −0.392735 | − | 0.919652i | \(-0.628471\pi\) |
0.600074 | + | 0.799944i | \(0.295138\pi\) | |||||||
\(930\) | 1.53321e20i | 0.254813i | ||||||||
\(931\) | 3.00448e20 | − | 5.88907e20i | 0.495589 | − | 0.971402i | ||||
\(932\) | −2.85993e20 | −0.468213 | ||||||||
\(933\) | −1.40937e19 | − | 2.44110e19i | −0.0229009 | − | 0.0396655i | ||||
\(934\) | 7.87190e18 | + | 4.54484e18i | 0.0126955 | + | 0.00732978i | ||||
\(935\) | 6.34655e20 | − | 1.09926e21i | 1.01591 | − | 1.75961i | ||||
\(936\) | 1.30574e20 | − | 7.53869e19i | 0.207456 | − | 0.119775i | ||||
\(937\) | 2.79349e20i | 0.440524i | 0.975441 | + | 0.220262i | \(0.0706912\pi\) | ||||
−0.975441 | + | 0.220262i | \(0.929309\pi\) | |||||||
\(938\) | 3.47741e20 | − | 1.02907e20i | 0.544297 | − | 0.161074i | ||||
\(939\) | 1.51150e20 | 0.234827 | ||||||||
\(940\) | −2.05727e19 | − | 3.56330e19i | −0.0317247 | − | 0.0549487i | ||||
\(941\) | 4.74677e20 | + | 2.74055e20i | 0.726559 | + | 0.419479i | 0.817162 | − | 0.576408i | \(-0.195546\pi\) |
−0.0906033 | + | 0.995887i | \(0.528880\pi\) | |||||||
\(942\) | −8.29068e18 | + | 1.43599e19i | −0.0125960 | + | 0.0218170i | ||||
\(943\) | 4.96830e20 | − | 2.86845e20i | 0.749248 | − | 0.432579i | ||||
\(944\) | − | 6.76331e19i | − | 0.101241i | ||||||
\(945\) | −2.10177e20 | − | 1.99554e20i | −0.312293 | − | 0.296509i | ||||
\(946\) | −6.59923e20 | −0.973319 | ||||||||
\(947\) | 4.43840e20 | + | 7.68754e20i | 0.649796 | + | 1.12548i | 0.983171 | + | 0.182685i | \(0.0584789\pi\) |
−0.333376 | + | 0.942794i | \(0.608188\pi\) | |||||||
\(948\) | −6.14217e18 | − | 3.54619e18i | −0.00892614 | − | 0.00515351i | ||||
\(949\) | −1.18434e20 | + | 2.05134e20i | −0.170849 | + | 0.295919i | ||||
\(950\) | 6.82469e20 | − | 3.94024e20i | 0.977277 | − | 0.564231i | ||||
\(951\) | − | 1.34231e20i | − | 0.190805i | ||||||
\(952\) | 3.07607e20 | + | 7.39343e19i | 0.434047 | + | 0.104325i | ||||
\(953\) | −5.52988e20 | −0.774578 | −0.387289 | − | 0.921958i | \(-0.626589\pi\) | ||||
−0.387289 | + | 0.921958i | \(0.626589\pi\) | |||||||
\(954\) | 1.70022e20 | + | 2.94487e20i | 0.236410 | + | 0.409475i | ||||
\(955\) | −2.37267e20 | − | 1.36986e20i | −0.327502 | − | 0.189083i | ||||
\(956\) | −2.97752e20 | + | 5.15721e20i | −0.407989 | + | 0.706658i | ||||
\(957\) | −1.74917e20 | + | 1.00988e20i | −0.237929 | + | 0.137369i | ||||
\(958\) | − | 9.03166e20i | − | 1.21958i | ||||||
\(959\) | −2.19242e20 | + | 9.12164e20i | −0.293895 | + | 1.22276i | ||||
\(960\) | −2.04208e19 | −0.0271752 | ||||||||
\(961\) | 6.61403e20 | + | 1.14558e21i | 0.873781 | + | 1.51343i | ||||
\(962\) | −2.75555e20 | − | 1.59092e20i | −0.361395 | − | 0.208652i | ||||
\(963\) | 5.53213e20 | − | 9.58193e20i | 0.720292 | − | 1.24758i | ||||
\(964\) | −3.44070e20 | + | 1.98649e20i | −0.444742 | + | 0.256772i | ||||
\(965\) | − | 1.27269e21i | − | 1.63317i | ||||||
\(966\) | 3.98910e19 | − | 4.20145e19i | 0.0508201 | − | 0.0535254i | ||||
\(967\) | −1.08872e20 | −0.137700 | −0.0688498 | − | 0.997627i | \(-0.521933\pi\) | ||||
−0.0688498 | + | 0.997627i | \(0.521933\pi\) | |||||||
\(968\) | 7.20614e18 | + | 1.24814e19i | 0.00904847 | + | 0.0156724i | ||||
\(969\) | −1.32496e20 | − | 7.64965e19i | −0.165172 | − | 0.0953619i | ||||
\(970\) | 6.36364e20 | − | 1.10221e21i | 0.787595 | − | 1.36416i | ||||
\(971\) | 8.56441e20 | − | 4.94466e20i | 1.05236 | − | 0.607578i | 0.129048 | − | 0.991638i | \(-0.458808\pi\) |
0.923308 | + | 0.384060i | \(0.125475\pi\) | |||||||
\(972\) | 1.65978e20i | 0.202482i | ||||||||
\(973\) | −4.07493e20 | − | 1.37699e21i | −0.493549 | − | 1.66778i | ||||
\(974\) | −3.35599e20 | −0.403560 | ||||||||
\(975\) | 5.86433e19 | + | 1.01573e20i | 0.0700143 | + | 0.121268i | ||||
\(976\) | −7.90009e19 | − | 4.56112e19i | −0.0936448 | − | 0.0540658i | ||||
\(977\) | −4.67970e20 | + | 8.10548e20i | −0.550752 | + | 0.953931i | 0.447468 | + | 0.894300i | \(0.352326\pi\) |
−0.998220 | + | 0.0596308i | \(0.981008\pi\) | |||||||
\(978\) | 7.87863e19 | − | 4.54873e19i | 0.0920616 | − | 0.0531518i | ||||
\(979\) | − | 7.51896e20i | − | 0.872327i | ||||||
\(980\) | 3.70752e20 | + | 5.71557e20i | 0.427072 | + | 0.658380i | ||||
\(981\) | 5.68355e20 | 0.650035 | ||||||||
\(982\) | −3.72206e20 | − | 6.44680e20i | −0.422672 | − | 0.732089i | ||||
\(983\) | −1.08083e20 | − | 6.24015e19i | −0.121866 | − | 0.0703591i | 0.437828 | − | 0.899059i | \(-0.355748\pi\) |
−0.559694 | + | 0.828700i | \(0.689081\pi\) | |||||||
\(984\) | −2.51105e19 | + | 4.34926e19i | −0.0281118 | + | 0.0486911i | ||||
\(985\) | 7.50996e20 | − | 4.33587e20i | 0.834802 | − | 0.481973i | ||||
\(986\) | 1.56489e21i | 1.72721i | ||||||||
\(987\) | −9.79879e18 | + | 2.89977e18i | −0.0107387 | + | 0.00317792i | ||||
\(988\) | 3.46142e20 | 0.376666 | ||||||||
\(989\) | 4.68166e20 | + | 8.10887e20i | 0.505855 | + | 0.876166i | ||||
\(990\) | −9.00860e20 | − | 5.20112e20i | −0.966521 | − | 0.558021i | ||||
\(991\) | −3.49441e20 | + | 6.05249e20i | −0.372270 | + | 0.644791i | −0.989914 | − | 0.141667i | \(-0.954754\pi\) |
0.617644 | + | 0.786458i | \(0.288087\pi\) | |||||||
\(992\) | −2.39889e20 | + | 1.38500e20i | −0.253764 | + | 0.146510i | ||||
\(993\) | 1.66108e20i | 0.174480i | ||||||||
\(994\) | −2.52784e20 | − | 2.40008e20i | −0.263660 | − | 0.250334i | ||||
\(995\) | −3.81992e20 | −0.395634 | ||||||||
\(996\) | 6.76259e18 | + | 1.17131e19i | 0.00695501 | + | 0.0120464i | ||||
\(997\) | −4.09214e20 | − | 2.36260e20i | −0.417912 | − | 0.241281i | 0.276272 | − | 0.961080i | \(-0.410901\pi\) |
−0.694183 | + | 0.719798i | \(0.744234\pi\) | |||||||
\(998\) | −5.94683e19 | + | 1.03002e20i | −0.0603075 | + | 0.104456i | ||||
\(999\) | 2.01577e20 | − | 1.16380e20i | 0.202994 | − | 0.117198i |
(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 | 14.15.d.a.3.8 | ✓ | 20 | |
3.2 | odd | 2 | 126.15.n.b.73.1 | 20 | |||
7.2 | even | 3 | 98.15.d.b.19.8 | 20 | |||
7.3 | odd | 6 | 98.15.b.c.97.5 | 20 | |||
7.4 | even | 3 | 98.15.b.c.97.6 | 20 | |||
7.5 | odd | 6 | inner | 14.15.d.a.5.8 | yes | 20 | |
7.6 | odd | 2 | 98.15.d.b.31.8 | 20 | |||
21.5 | even | 6 | 126.15.n.b.19.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.15.d.a.3.8 | ✓ | 20 | 1.1 | even | 1 | trivial | |
14.15.d.a.5.8 | yes | 20 | 7.5 | odd | 6 | inner | |
98.15.b.c.97.5 | 20 | 7.3 | odd | 6 | |||
98.15.b.c.97.6 | 20 | 7.4 | even | 3 | |||
98.15.d.b.19.8 | 20 | 7.2 | even | 3 | |||
98.15.d.b.31.8 | 20 | 7.6 | odd | 2 | |||
126.15.n.b.19.1 | 20 | 21.5 | even | 6 | |||
126.15.n.b.73.1 | 20 | 3.2 | odd | 2 |