Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,16,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(17.1232206120\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.26 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.25 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 171.504 | + | 57.9158i | 0.947437 | + | 0.319943i | ||||
\(3\) | 3751.22 | − | 526.541i | 0.990292 | − | 0.139003i | ||||
\(4\) | 26059.5 | + | 19865.6i | 0.795273 | + | 0.606251i | ||||
\(5\) | − | 172529.i | − | 0.987616i | −0.869571 | − | 0.493808i | \(-0.835605\pi\) | ||
0.869571 | − | 0.493808i | \(-0.164395\pi\) | |||||||
\(6\) | 673846. | + | 126951.i | 0.982712 | + | 0.185140i | ||||
\(7\) | − | 3.89480e6i | − | 1.78752i | −0.448550 | − | 0.893758i | \(-0.648059\pi\) | ||
0.448550 | − | 0.893758i | \(-0.351941\pi\) | |||||||
\(8\) | 3.31879e6 | + | 4.91630e6i | 0.559506 | + | 0.828826i | ||||
\(9\) | 1.37944e7 | − | 3.95035e6i | 0.961357 | − | 0.275306i | ||||
\(10\) | 9.99218e6 | − | 2.95896e7i | 0.315981 | − | 0.935704i | ||||
\(11\) | −4.37602e7 | −0.677071 | −0.338536 | − | 0.940954i | \(-0.609932\pi\) | ||||
−0.338536 | + | 0.940954i | \(0.609932\pi\) | |||||||
\(12\) | 1.08215e8 | + | 6.07990e7i | 0.871823 | + | 0.489820i | ||||
\(13\) | −4.08923e7 | −0.180745 | −0.0903726 | − | 0.995908i | \(-0.528806\pi\) | ||||
−0.0903726 | + | 0.995908i | \(0.528806\pi\) | |||||||
\(14\) | 2.25570e8 | − | 6.67975e8i | 0.571902 | − | 1.69356i | ||||
\(15\) | −9.08439e7 | − | 6.47196e8i | −0.137281 | − | 0.978028i | ||||
\(16\) | 2.84455e8 | + | 1.03538e9i | 0.264920 | + | 0.964271i | ||||
\(17\) | 1.05000e9i | 0.620613i | 0.950637 | + | 0.310307i | \(0.100432\pi\) | ||||
−0.950637 | + | 0.310307i | \(0.899568\pi\) | |||||||
\(18\) | 2.59459e9 | + | 1.21413e8i | 0.998907 | + | 0.0467436i | ||||
\(19\) | 4.29470e9i | 1.10225i | 0.834422 | + | 0.551125i | \(0.185801\pi\) | ||||
−0.834422 | + | 0.551125i | \(0.814199\pi\) | |||||||
\(20\) | 3.42741e9 | − | 4.49603e9i | 0.598743 | − | 0.785425i | ||||
\(21\) | −2.05077e9 | − | 1.46103e10i | −0.248469 | − | 1.77016i | ||||
\(22\) | −7.50507e9 | − | 2.53441e9i | −0.641482 | − | 0.216624i | ||||
\(23\) | 2.27826e10 | 1.39522 | 0.697612 | − | 0.716475i | \(-0.254246\pi\) | ||||
0.697612 | + | 0.716475i | \(0.254246\pi\) | |||||||
\(24\) | 1.50381e10 | + | 1.66947e10i | 0.669283 | + | 0.743007i | ||||
\(25\) | 7.51168e8 | 0.0246143 | ||||||||
\(26\) | −7.01322e9 | − | 2.36831e9i | −0.171245 | − | 0.0578281i | ||||
\(27\) | 4.96659e10 | − | 2.20819e10i | 0.913755 | − | 0.406265i | ||||
\(28\) | 7.73726e10 | − | 1.01497e11i | 1.08368 | − | 1.42156i | ||||
\(29\) | − | 1.81630e10i | − | 0.195526i | −0.995210 | − | 0.0977628i | \(-0.968831\pi\) | ||
0.995210 | − | 0.0977628i | \(-0.0311686\pi\) | |||||||
\(30\) | 2.19028e10 | − | 1.16258e11i | 0.182848 | − | 0.970542i | ||||
\(31\) | 1.17167e11i | 0.764878i | 0.923981 | + | 0.382439i | \(0.124916\pi\) | ||||
−0.923981 | + | 0.382439i | \(0.875084\pi\) | |||||||
\(32\) | −1.11794e10 | + | 1.94046e11i | −0.0575167 | + | 0.998345i | ||||
\(33\) | −1.64154e11 | + | 2.30416e10i | −0.670498 | + | 0.0941147i | ||||
\(34\) | −6.08114e10 | + | 1.80079e11i | −0.198561 | + | 0.587992i | ||||
\(35\) | −6.71968e11 | −1.76538 | ||||||||
\(36\) | 4.37952e11 | + | 1.71091e11i | 0.931446 | + | 0.363879i | ||||
\(37\) | −1.02702e12 | −1.77856 | −0.889279 | − | 0.457366i | \(-0.848793\pi\) | ||||
−0.889279 | + | 0.457366i | \(0.848793\pi\) | |||||||
\(38\) | −2.48731e11 | + | 7.36559e11i | −0.352657 | + | 1.04431i | ||||
\(39\) | −1.53396e11 | + | 2.15315e10i | −0.178991 | + | 0.0251241i | ||||
\(40\) | 8.48207e11 | − | 5.72589e11i | 0.818562 | − | 0.552577i | ||||
\(41\) | 1.37636e12i | 1.10371i | 0.833940 | + | 0.551854i | \(0.186080\pi\) | ||||
−0.833940 | + | 0.551854i | \(0.813920\pi\) | |||||||
\(42\) | 4.94448e11 | − | 2.62450e12i | 0.330941 | − | 1.75661i | ||||
\(43\) | 7.55931e11i | 0.424100i | 0.977259 | + | 0.212050i | \(0.0680140\pi\) | ||||
−0.977259 | + | 0.212050i | \(0.931986\pi\) | |||||||
\(44\) | −1.14037e12 | − | 8.69324e11i | −0.538457 | − | 0.410475i | ||||
\(45\) | −6.81551e11 | − | 2.37994e12i | −0.271897 | − | 0.949451i | ||||
\(46\) | 3.90731e12 | + | 1.31947e12i | 1.32189 | + | 0.446392i | ||||
\(47\) | 2.91641e12 | 0.839681 | 0.419840 | − | 0.907598i | \(-0.362086\pi\) | ||||
0.419840 | + | 0.907598i | \(0.362086\pi\) | |||||||
\(48\) | 1.61222e12 | + | 3.73415e12i | 0.396384 | + | 0.918085i | ||||
\(49\) | −1.04219e13 | −2.19521 | ||||||||
\(50\) | 1.28829e11 | + | 4.35045e10i | 0.0233205 | + | 0.00787516i | ||||
\(51\) | 5.52866e11 | + | 3.93877e12i | 0.0862668 | + | 0.614588i | ||||
\(52\) | −1.06563e12 | − | 8.12352e11i | −0.143742 | − | 0.109577i | ||||
\(53\) | − | 1.31652e13i | − | 1.53942i | −0.638394 | − | 0.769710i | \(-0.720401\pi\) | ||
0.638394 | − | 0.769710i | \(-0.279599\pi\) | |||||||
\(54\) | 9.79681e12 | − | 9.10711e11i | 0.995707 | − | 0.0925609i | ||||
\(55\) | 7.54993e12i | 0.668687i | ||||||||
\(56\) | 1.91480e13 | − | 1.29260e13i | 1.48154 | − | 1.00013i | ||||
\(57\) | 2.26133e12 | + | 1.61104e13i | 0.153216 | + | 1.09155i | ||||
\(58\) | 1.05193e12 | − | 3.11504e12i | 0.0625570 | − | 0.185248i | ||||
\(59\) | 1.15444e12 | 0.0603922 | 0.0301961 | − | 0.999544i | \(-0.490387\pi\) | ||||
0.0301961 | + | 0.999544i | \(0.490387\pi\) | |||||||
\(60\) | 1.04896e13 | − | 1.86703e13i | 0.483755 | − | 0.861027i | ||||
\(61\) | −1.08094e13 | −0.440380 | −0.220190 | − | 0.975457i | \(-0.570668\pi\) | ||||
−0.220190 | + | 0.975457i | \(0.570668\pi\) | |||||||
\(62\) | −6.78581e12 | + | 2.00946e13i | −0.244717 | + | 0.724673i | ||||
\(63\) | −1.53858e13 | − | 5.37265e13i | −0.492114 | − | 1.71844i | ||||
\(64\) | −1.31557e13 | + | 3.26323e13i | −0.373906 | + | 0.927466i | ||||
\(65\) | 7.05513e12i | 0.178507i | ||||||||
\(66\) | −2.94877e13 | − | 5.55540e12i | −0.665366 | − | 0.125353i | ||||
\(67\) | 5.22313e13i | 1.05286i | 0.850219 | + | 0.526429i | \(0.176469\pi\) | ||||
−0.850219 | + | 0.526429i | \(0.823531\pi\) | |||||||
\(68\) | −2.08588e13 | + | 2.73624e13i | −0.376247 | + | 0.493557i | ||||
\(69\) | 8.54625e13 | − | 1.19960e13i | 1.38168 | − | 0.193940i | ||||
\(70\) | −1.15245e14 | − | 3.89175e13i | −1.67259 | − | 0.564820i | ||||
\(71\) | −2.62413e12 | −0.0342411 | −0.0171206 | − | 0.999853i | \(-0.505450\pi\) | ||||
−0.0171206 | + | 0.999853i | \(0.505450\pi\) | |||||||
\(72\) | 6.52018e13 | + | 5.47071e13i | 0.766066 | + | 0.642762i | ||||
\(73\) | 3.29769e13 | 0.349372 | 0.174686 | − | 0.984624i | \(-0.444109\pi\) | ||||
0.174686 | + | 0.984624i | \(0.444109\pi\) | |||||||
\(74\) | −1.76139e14 | − | 5.94810e13i | −1.68507 | − | 0.569036i | ||||
\(75\) | 2.81780e12 | − | 3.95521e11i | 0.0243753 | − | 0.00342145i | ||||
\(76\) | −8.53168e13 | + | 1.11918e14i | −0.668241 | + | 0.876591i | ||||
\(77\) | 1.70437e14i | 1.21028i | ||||||||
\(78\) | −2.75551e13 | − | 5.19132e12i | −0.177621 | − | 0.0334633i | ||||
\(79\) | − | 1.56201e14i | − | 0.915123i | −0.889178 | − | 0.457562i | \(-0.848723\pi\) | ||
0.889178 | − | 0.457562i | \(-0.151277\pi\) | |||||||
\(80\) | 1.78633e14 | − | 4.90769e13i | 0.952329 | − | 0.261639i | ||||
\(81\) | 1.74681e14 | − | 1.08985e14i | 0.848413 | − | 0.529335i | ||||
\(82\) | −7.97132e13 | + | 2.36053e14i | −0.353124 | + | 1.04569i | ||||
\(83\) | 3.43200e13 | 0.138823 | 0.0694115 | − | 0.997588i | \(-0.477888\pi\) | ||||
0.0694115 | + | 0.997588i | \(0.477888\pi\) | |||||||
\(84\) | 2.36800e14 | − | 4.21476e14i | 0.875562 | − | 1.55840i | ||||
\(85\) | 1.81155e14 | 0.612927 | ||||||||
\(86\) | −4.37804e13 | + | 1.29645e14i | −0.135688 | + | 0.401808i | ||||
\(87\) | −9.56359e12 | − | 6.81336e13i | −0.0271786 | − | 0.193627i | ||||
\(88\) | −1.45231e14 | − | 2.15138e14i | −0.378825 | − | 0.561175i | ||||
\(89\) | − | 5.29425e14i | − | 1.26876i | −0.773022 | − | 0.634379i | \(-0.781256\pi\) | ||
0.773022 | − | 0.634379i | \(-0.218744\pi\) | |||||||
\(90\) | 2.09473e13 | − | 4.47643e14i | 0.0461647 | − | 0.986537i | ||||
\(91\) | 1.59268e14i | 0.323085i | ||||||||
\(92\) | 5.93703e14 | + | 4.52590e14i | 1.10959 | + | 0.845856i | ||||
\(93\) | 6.16932e13 | + | 4.39519e14i | 0.106320 | + | 0.757452i | ||||
\(94\) | 5.00177e14 | + | 1.68906e14i | 0.795545 | + | 0.268650i | ||||
\(95\) | 7.40962e14 | 1.08860 | ||||||||
\(96\) | 6.02370e13 | + | 7.33797e14i | 0.0818142 | + | 0.996648i | ||||
\(97\) | −9.09865e14 | −1.14338 | −0.571688 | − | 0.820471i | \(-0.693711\pi\) | ||||
−0.571688 | + | 0.820471i | \(0.693711\pi\) | |||||||
\(98\) | −1.78740e15 | − | 6.03593e14i | −2.07982 | − | 0.702342i | ||||
\(99\) | −6.03647e14 | + | 1.72868e14i | −0.650907 | + | 0.186402i | ||||
\(100\) | 1.95751e13 | + | 1.49224e13i | 0.0195751 | + | 0.0149224i | ||||
\(101\) | − | 6.24144e13i | − | 0.0579261i | −0.999580 | − | 0.0289630i | \(-0.990779\pi\) | ||
0.999580 | − | 0.0289630i | \(-0.00922051\pi\) | |||||||
\(102\) | −1.33298e14 | + | 7.07536e14i | −0.114901 | + | 0.609884i | ||||
\(103\) | 9.11953e14i | 0.730623i | 0.930885 | + | 0.365311i | \(0.119038\pi\) | ||||
−0.930885 | + | 0.365311i | \(0.880962\pi\) | |||||||
\(104\) | −1.35713e14 | − | 2.01039e14i | −0.101128 | − | 0.149806i | ||||
\(105\) | −2.52070e15 | + | 3.53819e14i | −1.74824 | + | 0.245392i | ||||
\(106\) | 7.62470e14 | − | 2.25788e15i | 0.492526 | − | 1.45850i | ||||
\(107\) | 8.41506e13 | 0.0506616 | 0.0253308 | − | 0.999679i | \(-0.491936\pi\) | ||||
0.0253308 | + | 0.999679i | \(0.491936\pi\) | |||||||
\(108\) | 1.73294e15 | + | 4.11199e14i | 0.972984 | + | 0.230874i | ||||
\(109\) | 8.51236e14 | 0.446017 | 0.223009 | − | 0.974816i | \(-0.428412\pi\) | ||||
0.223009 | + | 0.974816i | \(0.428412\pi\) | |||||||
\(110\) | −4.37260e14 | + | 1.29485e15i | −0.213941 | + | 0.633538i | ||||
\(111\) | −3.85260e15 | + | 5.40771e14i | −1.76129 | + | 0.247224i | ||||
\(112\) | 4.03259e15 | − | 1.10790e15i | 1.72365 | − | 0.473548i | ||||
\(113\) | 2.64592e14i | 0.105801i | 0.998600 | + | 0.0529003i | \(0.0168465\pi\) | ||||
−0.998600 | + | 0.0529003i | \(0.983153\pi\) | |||||||
\(114\) | −5.45215e14 | + | 2.89396e15i | −0.204071 | + | 1.08320i | ||||
\(115\) | − | 3.93067e15i | − | 1.37795i | ||||||
\(116\) | 3.60820e14 | − | 4.73320e14i | 0.118538 | − | 0.155496i | ||||
\(117\) | −5.64086e14 | + | 1.61539e14i | −0.173761 | + | 0.0497603i | ||||
\(118\) | 1.97991e14 | + | 6.68603e13i | 0.0572178 | + | 0.0193220i | ||||
\(119\) | 4.08953e15 | 1.10936 | ||||||||
\(120\) | 2.88032e15 | − | 2.59452e15i | 0.733806 | − | 0.660995i | ||||
\(121\) | −2.26229e15 | −0.541575 | ||||||||
\(122\) | −1.85386e15 | − | 6.26035e14i | −0.417232 | − | 0.140896i | ||||
\(123\) | 7.24713e14 | + | 5.16305e15i | 0.153418 | + | 1.09299i | ||||
\(124\) | −2.32759e15 | + | 3.05331e15i | −0.463708 | + | 0.608287i | ||||
\(125\) | − | 5.39478e15i | − | 1.01193i | ||||||
\(126\) | 4.72880e14 | − | 1.01054e16i | 0.0835548 | − | 1.78556i | ||||
\(127\) | 4.68687e15i | 0.780468i | 0.920716 | + | 0.390234i | \(0.127606\pi\) | ||||
−0.920716 | + | 0.390234i | \(0.872394\pi\) | |||||||
\(128\) | −4.14618e15 | + | 4.83467e15i | −0.650989 | + | 0.759087i | ||||
\(129\) | 3.98029e14 | + | 2.83566e15i | 0.0589511 | + | 0.419983i | ||||
\(130\) | −4.08604e14 | + | 1.20999e15i | −0.0571120 | + | 0.169124i | ||||
\(131\) | 9.77222e15 | 1.28961 | 0.644806 | − | 0.764347i | \(-0.276938\pi\) | ||||
0.644806 | + | 0.764347i | \(0.276938\pi\) | |||||||
\(132\) | −4.73552e15 | − | 2.66058e15i | −0.590287 | − | 0.331643i | ||||
\(133\) | 1.67270e16 | 1.97029 | ||||||||
\(134\) | −3.02502e15 | + | 8.95789e15i | −0.336854 | + | 0.997516i | ||||
\(135\) | −3.80979e15 | − | 8.56883e15i | −0.401234 | − | 0.902440i | ||||
\(136\) | −5.16210e15 | + | 3.48472e15i | −0.514380 | + | 0.347237i | ||||
\(137\) | − | 1.18160e15i | − | 0.111446i | −0.998446 | − | 0.0557230i | \(-0.982254\pi\) | ||
0.998446 | − | 0.0557230i | \(-0.0177464\pi\) | |||||||
\(138\) | 1.53520e16 | + | 2.89227e15i | 1.37110 | + | 0.258313i | ||||
\(139\) | − | 1.84056e16i | − | 1.55718i | −0.627534 | − | 0.778589i | \(-0.715936\pi\) | ||
0.627534 | − | 0.778589i | \(-0.284064\pi\) | |||||||
\(140\) | −1.75112e16 | − | 1.33491e16i | −1.40396 | − | 1.07026i | ||||
\(141\) | 1.09401e16 | − | 1.53561e15i | 0.831529 | − | 0.116718i | ||||
\(142\) | −4.50050e14 | − | 1.51979e14i | −0.0324413 | − | 0.0109552i | ||||
\(143\) | 1.78946e15 | 0.122377 | ||||||||
\(144\) | 8.01399e15 | + | 1.31587e16i | 0.520152 | + | 0.854074i | ||||
\(145\) | −3.13366e15 | −0.193104 | ||||||||
\(146\) | 5.65569e15 | + | 1.90989e15i | 0.331008 | + | 0.111779i | ||||
\(147\) | −3.90949e16 | + | 5.48756e15i | −2.17390 | + | 0.305140i | ||||
\(148\) | −2.67638e16 | − | 2.04025e16i | −1.41444 | − | 1.07825i | ||||
\(149\) | 3.19014e16i | 1.60292i | 0.598048 | + | 0.801461i | \(0.295943\pi\) | ||||
−0.598048 | + | 0.801461i | \(0.704057\pi\) | |||||||
\(150\) | 5.06172e14 | + | 9.53614e13i | 0.0241887 | + | 0.00455710i | ||||
\(151\) | 2.92312e16i | 1.32898i | 0.747295 | + | 0.664492i | \(0.231352\pi\) | ||||
−0.747295 | + | 0.664492i | \(0.768648\pi\) | |||||||
\(152\) | −2.11140e16 | + | 1.42532e16i | −0.913575 | + | 0.616716i | ||||
\(153\) | 4.14785e15 | + | 1.44841e16i | 0.170859 | + | 0.596630i | ||||
\(154\) | −9.87101e15 | + | 2.92307e16i | −0.387219 | + | 1.14666i | ||||
\(155\) | 2.02147e16 | 0.755406 | ||||||||
\(156\) | −4.42517e15 | − | 2.48621e15i | −0.157578 | − | 0.0885327i | ||||
\(157\) | −1.98904e16 | −0.675142 | −0.337571 | − | 0.941300i | \(-0.609605\pi\) | ||||
−0.337571 | + | 0.941300i | \(0.609605\pi\) | |||||||
\(158\) | 9.04649e15 | − | 2.67891e16i | 0.292787 | − | 0.867022i | ||||
\(159\) | −6.93200e15 | − | 4.93854e16i | −0.213983 | − | 1.52447i | ||||
\(160\) | 3.34787e16 | + | 1.92878e15i | 0.985981 | + | 0.0568044i | ||||
\(161\) | − | 8.87336e16i | − | 2.49399i | ||||||
\(162\) | 3.62705e16 | − | 8.57471e15i | 0.973175 | − | 0.230068i | ||||
\(163\) | 2.36220e16i | 0.605215i | 0.953115 | + | 0.302607i | \(0.0978571\pi\) | ||||
−0.953115 | + | 0.302607i | \(0.902143\pi\) | |||||||
\(164\) | −2.73423e16 | + | 3.58674e16i | −0.669124 | + | 0.877750i | ||||
\(165\) | 3.97535e15 | + | 2.83214e16i | 0.0929492 | + | 0.662195i | ||||
\(166\) | 5.88603e15 | + | 1.98767e15i | 0.131526 | + | 0.0444154i | ||||
\(167\) | 6.41482e16 | 1.37028 | 0.685142 | − | 0.728409i | \(-0.259740\pi\) | ||||
0.685142 | + | 0.728409i | \(0.259740\pi\) | |||||||
\(168\) | 6.50223e16 | − | 5.85706e16i | 1.32814 | − | 1.19635i | ||||
\(169\) | −4.95137e16 | −0.967331 | ||||||||
\(170\) | 3.10689e16 | + | 1.04918e16i | 0.580710 | + | 0.196102i | ||||
\(171\) | 1.69655e16 | + | 5.92428e16i | 0.303457 | + | 1.05966i | ||||
\(172\) | −1.50170e16 | + | 1.96992e16i | −0.257111 | + | 0.337276i | ||||
\(173\) | − | 3.42992e16i | − | 0.562261i | −0.959670 | − | 0.281130i | \(-0.909291\pi\) | ||
0.959670 | − | 0.281130i | \(-0.0907093\pi\) | |||||||
\(174\) | 2.30581e15 | − | 1.22391e16i | 0.0361997 | − | 0.192145i | ||||
\(175\) | − | 2.92565e15i | − | 0.0439984i | ||||||
\(176\) | −1.24478e16 | − | 4.53084e16i | −0.179369 | − | 0.652880i | ||||
\(177\) | 4.33056e15 | − | 6.07860e14i | 0.0598059 | − | 0.00839468i | ||||
\(178\) | 3.06621e16 | − | 9.07986e16i | 0.405930 | − | 1.20207i | ||||
\(179\) | −2.01998e16 | −0.256418 | −0.128209 | − | 0.991747i | \(-0.540923\pi\) | ||||
−0.128209 | + | 0.991747i | \(0.540923\pi\) | |||||||
\(180\) | 2.95182e16 | − | 7.55596e16i | 0.359373 | − | 0.919911i | ||||
\(181\) | −1.14051e17 | −1.33202 | −0.666010 | − | 0.745943i | \(-0.731999\pi\) | ||||
−0.666010 | + | 0.745943i | \(0.731999\pi\) | |||||||
\(182\) | −9.22411e15 | + | 2.73151e16i | −0.103369 | + | 0.306103i | ||||
\(183\) | −4.05484e16 | + | 5.69159e15i | −0.436105 | + | 0.0612140i | ||||
\(184\) | 7.56106e16 | + | 1.12006e17i | 0.780637 | + | 1.15640i | ||||
\(185\) | 1.77192e17i | 1.75653i | ||||||||
\(186\) | −1.48744e16 | + | 7.89524e16i | −0.141610 | + | 0.751655i | ||||
\(187\) | − | 4.59481e16i | − | 0.420199i | ||||||
\(188\) | 7.60002e16 | + | 5.79363e16i | 0.667776 | + | 0.509057i | ||||
\(189\) | −8.60048e16 | − | 1.93439e17i | −0.726205 | − | 1.63335i | ||||
\(190\) | 1.27078e17 | + | 4.29134e16i | 1.03138 | + | 0.348290i | ||||
\(191\) | −1.46993e17 | −1.14695 | −0.573477 | − | 0.819221i | \(-0.694406\pi\) | ||||
−0.573477 | + | 0.819221i | \(0.694406\pi\) | |||||||
\(192\) | −3.21675e16 | + | 1.29338e17i | −0.241356 | + | 0.970437i | ||||
\(193\) | 1.78931e17 | 1.29124 | 0.645619 | − | 0.763659i | \(-0.276599\pi\) | ||||
0.645619 | + | 0.763659i | \(0.276599\pi\) | |||||||
\(194\) | −1.56046e17 | − | 5.26955e16i | −1.08328 | − | 0.365815i | ||||
\(195\) | 3.71482e15 | + | 2.64654e16i | 0.0248129 | + | 0.176774i | ||||
\(196\) | −2.71590e17 | − | 2.07038e17i | −1.74579 | − | 1.33085i | ||||
\(197\) | 6.92882e16i | 0.428709i | 0.976756 | + | 0.214355i | \(0.0687648\pi\) | ||||
−0.976756 | + | 0.214355i | \(0.931235\pi\) | |||||||
\(198\) | −1.13540e17 | − | 5.31306e15i | −0.676331 | − | 0.0316487i | ||||
\(199\) | 1.94429e16i | 0.111523i | 0.998444 | + | 0.0557613i | \(0.0177586\pi\) | ||||
−0.998444 | + | 0.0557613i | \(0.982241\pi\) | |||||||
\(200\) | 2.49297e15 | + | 3.69297e15i | 0.0137718 | + | 0.0204010i | ||||
\(201\) | 2.75019e16 | + | 1.95931e17i | 0.146350 | + | 1.04264i | ||||
\(202\) | 3.61478e15 | − | 1.07043e16i | 0.0185330 | − | 0.0548813i | ||||
\(203\) | −7.07414e16 | −0.349505 | ||||||||
\(204\) | −6.38387e16 | + | 1.13625e17i | −0.303989 | + | 0.541065i | ||||
\(205\) | 2.37463e17 | 1.09004 | ||||||||
\(206\) | −5.28165e16 | + | 1.56404e17i | −0.233757 | + | 0.692219i | ||||
\(207\) | 3.14272e17 | − | 8.99991e16i | 1.34131 | − | 0.384114i | ||||
\(208\) | −1.16320e16 | − | 4.23390e16i | −0.0478830 | − | 0.174287i | ||||
\(209\) | − | 1.87937e17i | − | 0.746302i | ||||||
\(210\) | −4.52803e17 | − | 8.53069e16i | −1.73486 | − | 0.326843i | ||||
\(211\) | − | 2.14257e17i | − | 0.792168i | −0.918214 | − | 0.396084i | \(-0.870369\pi\) | ||
0.918214 | − | 0.396084i | \(-0.129631\pi\) | |||||||
\(212\) | 2.61534e17 | − | 3.43078e17i | 0.933274 | − | 1.22426i | ||||
\(213\) | −9.84370e15 | + | 1.38171e15i | −0.0339087 | + | 0.00475961i | ||||
\(214\) | 1.44322e16 | + | 4.87365e15i | 0.0479987 | + | 0.0162088i | ||||
\(215\) | 1.30420e17 | 0.418848 | ||||||||
\(216\) | 2.73392e17 | + | 1.70887e17i | 0.847974 | + | 0.530037i | ||||
\(217\) | 4.56341e17 | 1.36723 | ||||||||
\(218\) | 1.45991e17 | + | 4.93000e16i | 0.422573 | + | 0.142700i | ||||
\(219\) | 1.23704e17 | − | 1.73637e16i | 0.345981 | − | 0.0485637i | ||||
\(220\) | −1.49984e17 | + | 1.96747e17i | −0.405392 | + | 0.531789i | ||||
\(221\) | − | 4.29368e16i | − | 0.112173i | ||||||
\(222\) | −6.92056e17 | − | 1.30382e17i | −1.74781 | − | 0.329283i | ||||
\(223\) | 1.58454e17i | 0.386916i | 0.981109 | + | 0.193458i | \(0.0619704\pi\) | ||||
−0.981109 | + | 0.193458i | \(0.938030\pi\) | |||||||
\(224\) | 7.55771e17 | + | 4.35415e16i | 1.78456 | + | 0.102812i | ||||
\(225\) | 1.03619e16 | − | 2.96737e15i | 0.0236631 | − | 0.00677647i | ||||
\(226\) | −1.53240e16 | + | 4.53787e16i | −0.0338501 | + | 0.100239i | ||||
\(227\) | −5.75538e17 | −1.22993 | −0.614964 | − | 0.788555i | \(-0.710830\pi\) | ||||
−0.614964 | + | 0.788555i | \(0.710830\pi\) | |||||||
\(228\) | −2.61113e17 | + | 4.64751e17i | −0.539905 | + | 0.960968i | ||||
\(229\) | −3.33512e17 | −0.667338 | −0.333669 | − | 0.942690i | \(-0.608287\pi\) | ||||
−0.333669 | + | 0.942690i | \(0.608287\pi\) | |||||||
\(230\) | 2.27648e17 | − | 6.74127e17i | 0.440864 | − | 1.30552i | ||||
\(231\) | 8.97423e16 | + | 6.39348e17i | 0.168231 | + | 1.19853i | ||||
\(232\) | 8.92950e16 | − | 6.02793e16i | 0.162057 | − | 0.109398i | ||||
\(233\) | − | 8.50477e16i | − | 0.149449i | −0.997204 | − | 0.0747246i | \(-0.976192\pi\) | ||
0.997204 | − | 0.0747246i | \(-0.0238078\pi\) | |||||||
\(234\) | −1.06099e17 | − | 4.96487e15i | −0.180548 | − | 0.00844868i | ||||
\(235\) | − | 5.03166e17i | − | 0.829282i | ||||||
\(236\) | 3.00841e16 | + | 2.29337e16i | 0.0480283 | + | 0.0366128i | ||||
\(237\) | −8.22461e16 | − | 5.85943e17i | −0.127205 | − | 0.906239i | ||||
\(238\) | 7.01372e17 | + | 2.36848e17i | 1.05104 | + | 0.354930i | ||||
\(239\) | −6.87314e15 | −0.00998093 | −0.00499046 | − | 0.999988i | \(-0.501589\pi\) | ||||
−0.00499046 | + | 0.999988i | \(0.501589\pi\) | |||||||
\(240\) | 6.44251e17 | − | 2.78156e17i | 0.906715 | − | 0.391475i | ||||
\(241\) | −5.57434e17 | −0.760442 | −0.380221 | − | 0.924896i | \(-0.624152\pi\) | ||||
−0.380221 | + | 0.924896i | \(0.624152\pi\) | |||||||
\(242\) | −3.87993e17 | − | 1.31022e17i | −0.513108 | − | 0.173273i | ||||
\(243\) | 5.97881e17 | − | 5.00805e17i | 0.766597 | − | 0.642128i | ||||
\(244\) | −2.81688e17 | − | 2.14736e17i | −0.350223 | − | 0.266981i | ||||
\(245\) | 1.79808e18i | 2.16803i | ||||||||
\(246\) | −1.74731e17 | + | 9.27458e17i | −0.204341 | + | 1.08463i | ||||
\(247\) | − | 1.75620e17i | − | 0.199227i | ||||||
\(248\) | −5.76027e17 | + | 3.88852e17i | −0.633951 | + | 0.427954i | ||||
\(249\) | 1.28742e17 | − | 1.80709e16i | 0.137475 | − | 0.0192968i | ||||
\(250\) | 3.12443e17 | − | 9.25228e17i | 0.323758 | − | 0.958736i | ||||
\(251\) | −1.35677e18 | −1.36444 | −0.682221 | − | 0.731146i | \(-0.738986\pi\) | ||||
−0.682221 | + | 0.731146i | \(0.738986\pi\) | |||||||
\(252\) | 6.66364e17 | − | 1.70574e18i | 0.650440 | − | 1.66497i | ||||
\(253\) | −9.96971e17 | −0.944667 | ||||||||
\(254\) | −2.71444e17 | + | 8.03819e17i | −0.249705 | + | 0.739444i | ||||
\(255\) | 6.79554e17 | − | 9.53857e16i | 0.606977 | − | 0.0851985i | ||||
\(256\) | −9.91092e17 | + | 5.89037e17i | −0.859635 | + | 0.510908i | ||||
\(257\) | − | 1.51825e18i | − | 1.27892i | −0.768824 | − | 0.639460i | \(-0.779158\pi\) | ||
0.768824 | − | 0.639460i | \(-0.220842\pi\) | |||||||
\(258\) | −9.59661e16 | + | 5.09381e17i | −0.0785181 | + | 0.416769i | ||||
\(259\) | 4.00005e18i | 3.17920i | ||||||||
\(260\) | −1.40155e17 | + | 1.83853e17i | −0.108220 | + | 0.141962i | ||||
\(261\) | −7.17503e16 | − | 2.50549e17i | −0.0538294 | − | 0.187970i | ||||
\(262\) | 1.67598e18 | + | 5.65966e17i | 1.22183 | + | 0.412602i | ||||
\(263\) | −2.51464e17 | −0.178159 | −0.0890794 | − | 0.996025i | \(-0.528392\pi\) | ||||
−0.0890794 | + | 0.996025i | \(0.528392\pi\) | |||||||
\(264\) | −6.58073e17 | − | 7.30562e17i | −0.453152 | − | 0.503069i | ||||
\(265\) | −2.27138e18 | −1.52036 | ||||||||
\(266\) | 2.86875e18 | + | 9.68757e17i | 1.86673 | + | 0.630380i | ||||
\(267\) | −2.78764e17 | − | 1.98599e18i | −0.176361 | − | 1.25644i | ||||
\(268\) | −1.03761e18 | + | 1.36112e18i | −0.638296 | + | 0.837309i | ||||
\(269\) | − | 3.42165e17i | − | 0.204689i | −0.994749 | − | 0.102344i | \(-0.967366\pi\) | ||
0.994749 | − | 0.102344i | \(-0.0326344\pi\) | |||||||
\(270\) | −1.57125e17 | − | 1.69024e18i | −0.0914146 | − | 0.983376i | ||||
\(271\) | − | 2.43279e18i | − | 1.37669i | −0.725385 | − | 0.688344i | \(-0.758338\pi\) | ||
0.725385 | − | 0.688344i | \(-0.241662\pi\) | |||||||
\(272\) | −1.08714e18 | + | 2.98677e17i | −0.598439 | + | 0.164413i | ||||
\(273\) | 8.38609e16 | + | 5.97448e17i | 0.0449097 | + | 0.319948i | ||||
\(274\) | 6.84331e16 | − | 2.02649e17i | 0.0356564 | − | 0.105588i | ||||
\(275\) | −3.28713e16 | −0.0166656 | ||||||||
\(276\) | 2.46542e18 | + | 1.38516e18i | 1.21639 | + | 0.683410i | ||||
\(277\) | 3.00684e18 | 1.44382 | 0.721909 | − | 0.691988i | \(-0.243265\pi\) | ||||
0.721909 | + | 0.691988i | \(0.243265\pi\) | |||||||
\(278\) | 1.06597e18 | − | 3.15664e18i | 0.498208 | − | 1.47533i | ||||
\(279\) | 4.62849e17 | + | 1.61625e18i | 0.210576 | + | 0.735320i | ||||
\(280\) | −2.23012e18 | − | 3.30360e18i | −0.987740 | − | 1.46319i | ||||
\(281\) | 1.81846e18i | 0.784163i | 0.919930 | + | 0.392082i | \(0.128245\pi\) | ||||
−0.919930 | + | 0.392082i | \(0.871755\pi\) | |||||||
\(282\) | 1.96521e18 | + | 3.70240e17i | 0.825164 | + | 0.155459i | ||||
\(283\) | − | 1.20341e18i | − | 0.492055i | −0.969263 | − | 0.246027i | \(-0.920875\pi\) | ||
0.969263 | − | 0.246027i | \(-0.0791253\pi\) | |||||||
\(284\) | −6.83836e16 | − | 5.21300e16i | −0.0272311 | − | 0.0207587i | ||||
\(285\) | 2.77951e18 | − | 3.90147e17i | 1.07803 | − | 0.151318i | ||||
\(286\) | 3.06900e17 | + | 1.03638e17i | 0.115945 | + | 0.0391538i | ||||
\(287\) | 5.36066e18 | 1.97290 | ||||||||
\(288\) | 6.12336e17 | + | 2.72092e18i | 0.219557 | + | 0.975600i | ||||
\(289\) | 1.75993e18 | 0.614839 | ||||||||
\(290\) | −5.37436e17 | − | 1.81488e17i | −0.182954 | − | 0.0617823i | ||||
\(291\) | −3.41310e18 | + | 4.79081e17i | −1.13228 | + | 0.158932i | ||||
\(292\) | 8.59363e17 | + | 6.55107e17i | 0.277847 | + | 0.211807i | ||||
\(293\) | − | 4.48220e18i | − | 1.41248i | −0.707970 | − | 0.706242i | \(-0.750389\pi\) | ||
0.707970 | − | 0.706242i | \(-0.249611\pi\) | |||||||
\(294\) | −7.02276e18 | − | 1.32307e18i | −2.15726 | − | 0.406422i | ||||
\(295\) | − | 1.99175e17i | − | 0.0596443i | ||||||
\(296\) | −3.40848e18 | − | 5.04916e18i | −0.995113 | − | 1.47412i | ||||
\(297\) | −2.17339e18 | + | 9.66311e17i | −0.618678 | + | 0.275070i | ||||
\(298\) | −1.84759e18 | + | 5.47122e18i | −0.512843 | + | 1.51867i | ||||
\(299\) | −9.31633e17 | −0.252180 | ||||||||
\(300\) | 8.12877e16 | + | 4.56702e16i | 0.0214593 | + | 0.0120566i | ||||
\(301\) | 2.94420e18 | 0.758086 | ||||||||
\(302\) | −1.69295e18 | + | 5.01328e18i | −0.425199 | + | 1.25913i | ||||
\(303\) | −3.28637e16 | − | 2.34130e17i | −0.00805188 | − | 0.0573638i | ||||
\(304\) | −4.44663e18 | + | 1.22165e18i | −1.06287 | + | 0.292008i | ||||
\(305\) | 1.86494e18i | 0.434927i | ||||||||
\(306\) | −1.27483e17 | + | 2.72431e18i | −0.0290097 | + | 0.619935i | ||||
\(307\) | − | 2.40566e18i | − | 0.534191i | −0.963670 | − | 0.267095i | \(-0.913936\pi\) | ||
0.963670 | − | 0.267095i | \(-0.0860639\pi\) | |||||||
\(308\) | −3.38584e18 | + | 4.44151e18i | −0.733731 | + | 0.962500i | ||||
\(309\) | 4.80181e17 | + | 3.42094e18i | 0.101558 | + | 0.723530i | ||||
\(310\) | 3.46691e18 | + | 1.17075e18i | 0.715699 | + | 0.241686i | ||||
\(311\) | 3.58128e18 | 0.721664 | 0.360832 | − | 0.932631i | \(-0.382493\pi\) | ||||
0.360832 | + | 0.932631i | \(0.382493\pi\) | |||||||
\(312\) | −6.14945e17 | − | 6.82684e17i | −0.120970 | − | 0.134295i | ||||
\(313\) | 4.06505e17 | 0.0780699 | 0.0390350 | − | 0.999238i | \(-0.487572\pi\) | ||||
0.0390350 | + | 0.999238i | \(0.487572\pi\) | |||||||
\(314\) | −3.41128e18 | − | 1.15197e18i | −0.639654 | − | 0.216007i | ||||
\(315\) | −9.26940e18 | + | 2.65450e18i | −1.69716 | + | 0.486020i | ||||
\(316\) | 3.10302e18 | − | 4.07051e18i | 0.554794 | − | 0.727773i | ||||
\(317\) | 5.50906e18i | 0.961908i | 0.876746 | + | 0.480954i | \(0.159710\pi\) | ||||
−0.876746 | + | 0.480954i | \(0.840290\pi\) | |||||||
\(318\) | 1.67133e18 | − | 8.87129e18i | 0.285009 | − | 1.51281i | ||||
\(319\) | 7.94819e17i | 0.132385i | ||||||||
\(320\) | 5.63004e18 | + | 2.26974e18i | 0.915981 | + | 0.369276i | ||||
\(321\) | 3.15668e17 | − | 4.43088e16i | 0.0501698 | − | 0.00704209i | ||||
\(322\) | 5.13908e18 | − | 1.52182e19i | 0.797933 | − | 2.36289i | ||||
\(323\) | −4.50942e18 | −0.684071 | ||||||||
\(324\) | 6.71716e18 | + | 6.30035e17i | 0.995630 | + | 0.0933849i | ||||
\(325\) | −3.07170e16 | −0.00444891 | ||||||||
\(326\) | −1.36809e18 | + | 4.05128e18i | −0.193634 | + | 0.573403i | ||||
\(327\) | 3.19318e18 | − | 4.48211e17i | 0.441687 | − | 0.0619975i | ||||
\(328\) | −6.76662e18 | + | 4.56786e18i | −0.914783 | + | 0.617532i | ||||
\(329\) | − | 1.13588e19i | − | 1.50094i | ||||||
\(330\) | −9.58470e17 | + | 5.08749e18i | −0.123801 | + | 0.657126i | ||||
\(331\) | − | 9.04546e18i | − | 1.14214i | −0.820900 | − | 0.571072i | \(-0.806528\pi\) | ||
0.820900 | − | 0.571072i | \(-0.193472\pi\) | |||||||
\(332\) | 8.94363e17 | + | 6.81788e17i | 0.110402 | + | 0.0841616i | ||||
\(333\) | −1.41672e19 | + | 4.05710e18i | −1.70983 | + | 0.489648i | ||||
\(334\) | 1.10017e19 | + | 3.71519e18i | 1.29826 | + | 0.438413i | ||||
\(335\) | 9.01143e18 | 1.03982 | ||||||||
\(336\) | 1.45438e19 | − | 6.27929e18i | 1.64109 | − | 0.708542i | ||||
\(337\) | 7.27917e17 | 0.0803262 | 0.0401631 | − | 0.999193i | \(-0.487212\pi\) | ||||
0.0401631 | + | 0.999193i | \(0.487212\pi\) | |||||||
\(338\) | −8.49182e18 | − | 2.86763e18i | −0.916485 | − | 0.309490i | ||||
\(339\) | 1.39318e17 | + | 9.92542e17i | 0.0147066 | + | 0.104773i | ||||
\(340\) | 4.72082e18 | + | 3.59876e18i | 0.487445 | + | 0.371588i | ||||
\(341\) | − | 5.12725e18i | − | 0.517877i | ||||||
\(342\) | −5.21432e17 | + | 1.11430e19i | −0.0515231 | + | 1.10105i | ||||
\(343\) | 2.21004e19i | 2.13646i | ||||||||
\(344\) | −3.71638e18 | + | 2.50877e18i | −0.351506 | + | 0.237287i | ||||
\(345\) | −2.06966e18 | − | 1.47448e19i | −0.191538 | − | 1.36457i | ||||
\(346\) | 1.98646e18 | − | 5.88246e18i | 0.179891 | − | 0.532706i | ||||
\(347\) | 5.10775e18 | 0.452646 | 0.226323 | − | 0.974052i | \(-0.427329\pi\) | ||||
0.226323 | + | 0.974052i | \(0.427329\pi\) | |||||||
\(348\) | 1.10429e18 | − | 1.96552e18i | 0.0957724 | − | 0.170464i | ||||
\(349\) | −1.78678e19 | −1.51663 | −0.758315 | − | 0.651889i | \(-0.773977\pi\) | ||||
−0.758315 | + | 0.651889i | \(0.773977\pi\) | |||||||
\(350\) | 1.69441e17 | − | 5.01762e17i | 0.0140770 | − | 0.0416857i | ||||
\(351\) | −2.03095e18 | + | 9.02983e17i | −0.165157 | + | 0.0734304i | ||||
\(352\) | 4.89213e17 | − | 8.49151e18i | 0.0389429 | − | 0.675950i | ||||
\(353\) | 1.55040e19i | 1.20818i | 0.796916 | + | 0.604091i | \(0.206464\pi\) | ||||
−0.796916 | + | 0.604091i | \(0.793536\pi\) | |||||||
\(354\) | 7.77914e17 | + | 1.46557e17i | 0.0593482 | + | 0.0111810i | ||||
\(355\) | 4.52740e17i | 0.0338171i | ||||||||
\(356\) | 1.05174e19 | − | 1.37966e19i | 0.769186 | − | 1.00901i | ||||
\(357\) | 1.53407e19 | − | 2.15330e18i | 1.09859 | − | 0.154203i | ||||
\(358\) | −3.46435e18 | − | 1.16989e18i | −0.242940 | − | 0.0820391i | ||||
\(359\) | 2.44224e19 | 1.67718 | 0.838589 | − | 0.544764i | \(-0.183381\pi\) | ||||
0.838589 | + | 0.544764i | \(0.183381\pi\) | |||||||
\(360\) | 9.43859e18 | − | 1.12492e19i | 0.634802 | − | 0.756579i | ||||
\(361\) | −3.26329e18 | −0.214957 | ||||||||
\(362\) | −1.95603e19 | − | 6.60537e18i | −1.26200 | − | 0.426170i | ||||
\(363\) | −8.48636e18 | + | 1.19119e18i | −0.536317 | + | 0.0752803i | ||||
\(364\) | −3.16395e18 | + | 4.15043e18i | −0.195871 | + | 0.256941i | ||||
\(365\) | − | 5.68949e18i | − | 0.345046i | ||||||
\(366\) | −7.28387e18 | − | 1.37226e18i | −0.432767 | − | 0.0815322i | ||||
\(367\) | − | 1.16167e19i | − | 0.676221i | −0.941106 | − | 0.338111i | \(-0.890212\pi\) | ||
0.941106 | − | 0.338111i | \(-0.109788\pi\) | |||||||
\(368\) | 6.48063e18 | + | 2.35886e19i | 0.369622 | + | 1.34537i | ||||
\(369\) | 5.43711e18 | + | 1.89861e19i | 0.303858 | + | 1.06106i | ||||
\(370\) | −1.02622e19 | + | 3.03892e19i | −0.561990 | + | 1.66420i | ||||
\(371\) | −5.12756e19 | −2.75174 | ||||||||
\(372\) | −7.12362e18 | + | 1.26792e19i | −0.374653 | + | 0.666838i | ||||
\(373\) | −3.99820e18 | −0.206086 | −0.103043 | − | 0.994677i | \(-0.532858\pi\) | ||||
−0.103043 | + | 0.994677i | \(0.532858\pi\) | |||||||
\(374\) | 2.66112e18 | − | 7.88030e18i | 0.134440 | − | 0.398112i | ||||
\(375\) | −2.84057e18 | − | 2.02370e19i | −0.140660 | − | 1.00210i | ||||
\(376\) | 9.67894e18 | + | 1.43379e19i | 0.469806 | + | 0.695950i | ||||
\(377\) | 7.42729e17i | 0.0353403i | ||||||||
\(378\) | −3.54704e18 | − | 3.81566e19i | −0.165454 | − | 1.77984i | ||||
\(379\) | − | 1.27210e19i | − | 0.581736i | −0.956763 | − | 0.290868i | \(-0.906056\pi\) | ||
0.956763 | − | 0.290868i | \(-0.0939440\pi\) | |||||||
\(380\) | 1.93091e19 | + | 1.47197e19i | 0.865735 | + | 0.659965i | ||||
\(381\) | 2.46783e18 | + | 1.75815e19i | 0.108487 | + | 0.772892i | ||||
\(382\) | −2.52099e19 | − | 8.51322e18i | −1.08667 | − | 0.366960i | ||||
\(383\) | 7.02109e18 | 0.296766 | 0.148383 | − | 0.988930i | \(-0.452593\pi\) | ||||
0.148383 | + | 0.988930i | \(0.452593\pi\) | |||||||
\(384\) | −1.30076e19 | + | 2.03190e19i | −0.539154 | + | 0.842207i | ||||
\(385\) | 2.94055e19 | 1.19529 | ||||||||
\(386\) | 3.06875e19 | + | 1.03630e19i | 1.22337 | + | 0.413122i | ||||
\(387\) | 2.98619e18 | + | 1.04276e19i | 0.116758 | + | 0.407712i | ||||
\(388\) | −2.37106e19 | − | 1.80750e19i | −0.909296 | − | 0.693172i | ||||
\(389\) | − | 2.83676e19i | − | 1.06709i | −0.845772 | − | 0.533545i | \(-0.820859\pi\) | ||
0.845772 | − | 0.533545i | \(-0.179141\pi\) | |||||||
\(390\) | −8.95655e17 | + | 4.75407e18i | −0.0330489 | + | 0.175421i | ||||
\(391\) | 2.39216e19i | 0.865895i | ||||||||
\(392\) | −3.45881e19 | − | 5.12372e19i | −1.22823 | − | 1.81945i | ||||
\(393\) | 3.66578e19 | − | 5.14548e18i | 1.27709 | − | 0.179259i | ||||
\(394\) | −4.01288e18 | + | 1.18832e19i | −0.137162 | + | 0.406175i | ||||
\(395\) | −2.69492e19 | −0.903791 | ||||||||
\(396\) | −1.91649e19 | − | 7.48697e18i | −0.630655 | − | 0.246372i | ||||
\(397\) | 9.87931e18 | 0.319005 | 0.159503 | − | 0.987198i | \(-0.449011\pi\) | ||||
0.159503 | + | 0.987198i | \(0.449011\pi\) | |||||||
\(398\) | −1.12605e18 | + | 3.33454e18i | −0.0356808 | + | 0.105661i | ||||
\(399\) | 6.27466e19 | − | 8.80744e18i | 1.95116 | − | 0.273876i | ||||
\(400\) | 2.13674e17 | + | 7.77742e17i | 0.00652080 | + | 0.0237348i | ||||
\(401\) | 5.49232e19i | 1.64503i | 0.568746 | + | 0.822513i | \(0.307429\pi\) | ||||
−0.568746 | + | 0.822513i | \(0.692571\pi\) | |||||||
\(402\) | −6.63080e18 | + | 3.51958e19i | −0.194926 | + | 1.03466i | ||||
\(403\) | − | 4.79123e18i | − | 0.138248i | ||||||
\(404\) | 1.23990e18 | − | 1.62649e18i | 0.0351178 | − | 0.0460671i | ||||
\(405\) | −1.88032e19 | − | 3.01376e19i | −0.522780 | − | 0.837906i | ||||
\(406\) | −1.21325e19 | − | 4.09705e18i | −0.331134 | − | 0.111822i | ||||
\(407\) | 4.49428e19 | 1.20421 | ||||||||
\(408\) | −1.75293e19 | + | 1.57900e19i | −0.461120 | + | 0.415366i | ||||
\(409\) | −1.71544e19 | −0.443049 | −0.221524 | − | 0.975155i | \(-0.571103\pi\) | ||||
−0.221524 | + | 0.975155i | \(0.571103\pi\) | |||||||
\(410\) | 4.07260e19 | + | 1.37529e19i | 1.03274 | + | 0.348750i | ||||
\(411\) | −6.22159e17 | − | 4.43243e18i | −0.0154913 | − | 0.110364i | ||||
\(412\) | −1.81165e19 | + | 2.37651e19i | −0.442941 | + | 0.581045i | ||||
\(413\) | − | 4.49631e18i | − | 0.107952i | ||||||
\(414\) | 5.91115e19 | + | 2.76610e18i | 1.39370 | + | 0.0652178i | ||||
\(415\) | − | 5.92121e18i | − | 0.137104i | ||||||
\(416\) | 4.57152e17 | − | 7.93501e18i | 0.0103959 | − | 0.180446i | ||||
\(417\) | −9.69129e18 | − | 6.90434e19i | −0.216452 | − | 1.54206i | ||||
\(418\) | 1.08845e19 | − | 3.22320e19i | 0.238774 | − | 0.707074i | ||||
\(419\) | −3.22322e19 | −0.694521 | −0.347260 | − | 0.937769i | \(-0.612888\pi\) | ||||
−0.347260 | + | 0.937769i | \(0.612888\pi\) | |||||||
\(420\) | −7.27170e19 | − | 4.08549e19i | −1.53910 | − | 0.864719i | ||||
\(421\) | 2.74110e19 | 0.569914 | 0.284957 | − | 0.958540i | \(-0.408021\pi\) | ||||
0.284957 | + | 0.958540i | \(0.408021\pi\) | |||||||
\(422\) | 1.24089e19 | − | 3.67461e19i | 0.253448 | − | 0.750530i | ||||
\(423\) | 4.02301e19 | − | 1.15208e19i | 0.807233 | − | 0.231169i | ||||
\(424\) | 6.47239e19 | − | 4.36924e19i | 1.27591 | − | 0.861314i | ||||
\(425\) | 7.88724e17i | 0.0152759i | ||||||||
\(426\) | −1.76826e18 | − | 3.33136e17i | −0.0336492 | − | 0.00633942i | ||||
\(427\) | 4.21004e19i | 0.787186i | ||||||||
\(428\) | 2.19292e18 | + | 1.67170e18i | 0.0402898 | + | 0.0307136i | ||||
\(429\) | 6.71265e18 | − | 9.42223e17i | 0.121189 | − | 0.0170108i | ||||
\(430\) | 2.23677e19 | + | 7.55340e18i | 0.396832 | + | 0.134007i | ||||
\(431\) | −7.64963e19 | −1.33371 | −0.666854 | − | 0.745188i | \(-0.732360\pi\) | ||||
−0.666854 | + | 0.745188i | \(0.732360\pi\) | |||||||
\(432\) | 3.69909e19 | + | 4.51416e19i | 0.633821 | + | 0.773480i | ||||
\(433\) | 8.90203e18 | 0.149910 | 0.0749548 | − | 0.997187i | \(-0.476119\pi\) | ||||
0.0749548 | + | 0.997187i | \(0.476119\pi\) | |||||||
\(434\) | 7.82645e19 | + | 2.64294e19i | 1.29536 | + | 0.437435i | ||||
\(435\) | −1.17550e19 | + | 1.65000e18i | −0.191230 | + | 0.0268420i | ||||
\(436\) | 2.21828e19 | + | 1.69103e19i | 0.354706 | + | 0.270398i | ||||
\(437\) | 9.78443e19i | 1.53789i | ||||||||
\(438\) | 2.22214e19 | + | 4.18645e18i | 0.343333 | + | 0.0646830i | ||||
\(439\) | − | 5.66667e19i | − | 0.860685i | −0.902666 | − | 0.430342i | \(-0.858393\pi\) | ||
0.902666 | − | 0.430342i | \(-0.141607\pi\) | |||||||
\(440\) | −3.71177e19 | + | 2.50566e19i | −0.554225 | + | 0.374134i | ||||
\(441\) | −1.43764e20 | + | 4.11701e19i | −2.11038 | + | 0.604356i | ||||
\(442\) | 2.48672e18 | − | 7.36385e18i | 0.0358889 | − | 0.106277i | ||||
\(443\) | −8.98271e19 | −1.27462 | −0.637308 | − | 0.770609i | \(-0.719952\pi\) | ||||
−0.637308 | + | 0.770609i | \(0.719952\pi\) | |||||||
\(444\) | −1.11140e20 | − | 6.24420e19i | −1.55059 | − | 0.871174i | ||||
\(445\) | −9.13413e19 | −1.25305 | ||||||||
\(446\) | −9.17700e18 | + | 2.71756e19i | −0.123791 | + | 0.366579i | ||||
\(447\) | 1.67974e19 | + | 1.19669e20i | 0.222810 | + | 1.58736i | ||||
\(448\) | 1.27096e20 | + | 5.12387e19i | 1.65786 | + | 0.668363i | ||||
\(449\) | − | 1.21780e20i | − | 1.56217i | −0.624422 | − | 0.781087i | \(-0.714666\pi\) | ||
0.624422 | − | 0.781087i | \(-0.285334\pi\) | |||||||
\(450\) | 1.94897e18 | + | 9.12016e16i | 0.0245874 | + | 0.00115056i | ||||
\(451\) | − | 6.02300e19i | − | 0.747289i | ||||||
\(452\) | −5.25628e18 | + | 6.89513e18i | −0.0641417 | + | 0.0841404i | ||||
\(453\) | 1.53914e19 | + | 1.09653e20i | 0.184732 | + | 1.31608i | ||||
\(454\) | −9.87073e19 | − | 3.33327e19i | −1.16528 | − | 0.393507i | ||||
\(455\) | 2.74783e19 | 0.319084 | ||||||||
\(456\) | −7.16985e19 | + | 6.45843e19i | −0.818981 | + | 0.737718i | ||||
\(457\) | −1.00075e20 | −1.12448 | −0.562242 | − | 0.826972i | \(-0.690061\pi\) | ||||
−0.562242 | + | 0.826972i | \(0.690061\pi\) | |||||||
\(458\) | −5.71988e19 | − | 1.93156e19i | −0.632261 | − | 0.213510i | ||||
\(459\) | 2.31860e19 | + | 5.21490e19i | 0.252133 | + | 0.567089i | ||||
\(460\) | 7.80852e19 | − | 1.02431e20i | 0.835382 | − | 1.09584i | ||||
\(461\) | − | 4.79947e19i | − | 0.505169i | −0.967575 | − | 0.252584i | \(-0.918719\pi\) | ||
0.967575 | − | 0.252584i | \(-0.0812805\pi\) | |||||||
\(462\) | −2.16372e19 | + | 1.14848e20i | −0.224071 | + | 1.18935i | ||||
\(463\) | 3.70157e19i | 0.377163i | 0.982058 | + | 0.188582i | \(0.0603890\pi\) | ||||
−0.982058 | + | 0.188582i | \(0.939611\pi\) | |||||||
\(464\) | 1.88056e19 | − | 5.16657e18i | 0.188540 | − | 0.0517986i | ||||
\(465\) | 7.58299e19 | − | 1.06439e19i | 0.748072 | − | 0.105003i | ||||
\(466\) | 4.92561e18 | − | 1.45861e19i | 0.0478151 | − | 0.141594i | ||||
\(467\) | 8.13340e19 | 0.776954 | 0.388477 | − | 0.921458i | \(-0.373001\pi\) | ||||
0.388477 | + | 0.921458i | \(0.373001\pi\) | |||||||
\(468\) | −1.79089e19 | − | 6.99630e18i | −0.168354 | − | 0.0657695i | ||||
\(469\) | 2.03430e20 | 1.88200 | ||||||||
\(470\) | 2.91413e19 | − | 8.62952e19i | 0.265323 | − | 0.785693i | ||||
\(471\) | −7.46131e19 | + | 1.04731e19i | −0.668588 | + | 0.0938465i | ||||
\(472\) | 3.83134e18 | + | 5.67557e18i | 0.0337898 | + | 0.0500547i | ||||
\(473\) | − | 3.30797e19i | − | 0.287146i | ||||||
\(474\) | 1.98298e19 | − | 1.05255e20i | 0.169426 | − | 0.899303i | ||||
\(475\) | 3.22604e18i | 0.0271311i | ||||||||
\(476\) | 1.06571e20 | + | 8.12410e19i | 0.882241 | + | 0.672548i | ||||
\(477\) | −5.20069e19 | − | 1.81606e20i | −0.423812 | − | 1.47993i | ||||
\(478\) | −1.17877e18 | − | 3.98063e17i | −0.00945630 | − | 0.00319332i | ||||
\(479\) | 2.08531e20 | 1.64685 | 0.823424 | − | 0.567427i | \(-0.192061\pi\) | ||||
0.823424 | + | 0.567427i | \(0.192061\pi\) | |||||||
\(480\) | 1.26602e20 | − | 1.03926e19i | 0.984305 | − | 0.0808010i | ||||
\(481\) | 4.19974e19 | 0.321466 | ||||||||
\(482\) | −9.56024e19 | − | 3.22843e19i | −0.720470 | − | 0.243298i | ||||
\(483\) | −4.67219e19 | − | 3.32859e20i | −0.346671 | − | 2.46977i | ||||
\(484\) | −5.89542e19 | − | 4.49418e19i | −0.430700 | − | 0.328330i | ||||
\(485\) | 1.56978e20i | 1.12922i | ||||||||
\(486\) | 1.31544e20 | − | 5.12635e19i | 0.931747 | − | 0.363108i | ||||
\(487\) | − | 2.39743e19i | − | 0.167216i | −0.996499 | − | 0.0836082i | \(-0.973356\pi\) | ||
0.996499 | − | 0.0836082i | \(-0.0266444\pi\) | |||||||
\(488\) | −3.58741e19 | − | 5.31423e19i | −0.246395 | − | 0.364999i | ||||
\(489\) | 1.24380e19 | + | 8.86113e19i | 0.0841265 | + | 0.599340i | ||||
\(490\) | −1.04138e20 | + | 3.08379e20i | −0.693644 | + | 2.05407i | ||||
\(491\) | −2.45200e19 | −0.160845 | −0.0804227 | − | 0.996761i | \(-0.525627\pi\) | ||||
−0.0804227 | + | 0.996761i | \(0.525627\pi\) | |||||||
\(492\) | −8.36815e19 | + | 1.48943e20i | −0.540619 | + | 0.962239i | ||||
\(493\) | 1.90711e19 | 0.121346 | ||||||||
\(494\) | 1.01712e19 | − | 3.01196e19i | 0.0637411 | − | 0.188755i | ||||
\(495\) | 2.98248e19 | + | 1.04147e20i | 0.184094 | + | 0.642846i | ||||
\(496\) | −1.21312e20 | + | 3.33287e19i | −0.737549 | + | 0.202631i | ||||
\(497\) | 1.02205e19i | 0.0612065i | ||||||||
\(498\) | 2.31264e19 | + | 4.35695e18i | 0.136423 | + | 0.0257018i | ||||
\(499\) | 2.58155e20i | 1.50012i | 0.661369 | + | 0.750061i | \(0.269976\pi\) | ||||
−0.661369 | + | 0.750061i | \(0.730024\pi\) | |||||||
\(500\) | 1.07171e20 | − | 1.40585e20i | 0.613481 | − | 0.804758i | ||||
\(501\) | 2.40634e20 | − | 3.37767e19i | 1.35698 | − | 0.190473i | ||||
\(502\) | −2.32693e20 | − | 7.85787e19i | −1.29272 | − | 0.436543i | ||||
\(503\) | −1.05944e20 | −0.579852 | −0.289926 | − | 0.957049i | \(-0.593631\pi\) | ||||
−0.289926 | + | 0.957049i | \(0.593631\pi\) | |||||||
\(504\) | 2.13073e20 | − | 2.53948e20i | 1.14895 | − | 1.36935i | ||||
\(505\) | −1.07683e19 | −0.0572088 | ||||||||
\(506\) | −1.70985e20 | − | 5.77404e19i | −0.895012 | − | 0.302239i | ||||
\(507\) | −1.85737e20 | + | 2.60710e19i | −0.957940 | + | 0.134462i | ||||
\(508\) | −9.31077e19 | + | 1.22138e20i | −0.473160 | + | 0.620686i | ||||
\(509\) | − | 1.94283e20i | − | 0.972862i | −0.873719 | − | 0.486431i | \(-0.838299\pi\) | ||
0.873719 | − | 0.486431i | \(-0.161701\pi\) | |||||||
\(510\) | 1.22071e20 | + | 2.29978e19i | 0.602331 | + | 0.113478i | ||||
\(511\) | − | 1.28439e20i | − | 0.624509i | ||||||
\(512\) | −2.04091e20 | + | 4.36226e19i | −0.977911 | + | 0.209019i | ||||
\(513\) | 9.48353e19 | + | 2.13300e20i | 0.447806 | + | 1.00719i | ||||
\(514\) | 8.79304e19 | − | 2.60386e20i | 0.409181 | − | 1.21170i | ||||
\(515\) | 1.57339e20 | 0.721575 | ||||||||
\(516\) | −4.59598e19 | + | 8.18031e19i | −0.207733 | + | 0.369741i | ||||
\(517\) | −1.27623e20 | −0.568524 | ||||||||
\(518\) | −2.31666e20 | + | 6.86027e20i | −1.01716 | + | 3.01209i | ||||
\(519\) | −1.80599e19 | − | 1.28664e20i | −0.0781557 | − | 0.556802i | ||||
\(520\) | −3.46852e19 | + | 2.34145e19i | −0.147951 | + | 0.0998757i | ||||
\(521\) | 1.32245e20i | 0.556030i | 0.960577 | + | 0.278015i | \(0.0896764\pi\) | ||||
−0.960577 | + | 0.278015i | \(0.910324\pi\) | |||||||
\(522\) | 2.20523e18 | − | 4.71256e19i | 0.00913956 | − | 0.195312i | ||||
\(523\) | − | 1.82317e20i | − | 0.744842i | −0.928064 | − | 0.372421i | \(-0.878528\pi\) | ||
0.928064 | − | 0.372421i | \(-0.121472\pi\) | |||||||
\(524\) | 2.54659e20 | + | 1.94131e20i | 1.02559 | + | 0.781828i | ||||
\(525\) | −1.54047e18 | − | 1.09748e19i | −0.00611589 | − | 0.0435713i | ||||
\(526\) | −4.31271e19 | − | 1.45637e19i | −0.168794 | − | 0.0570006i | ||||
\(527\) | −1.23025e20 | −0.474693 | ||||||||
\(528\) | −7.05513e19 | − | 1.63407e20i | −0.268380 | − | 0.621609i | ||||
\(529\) | 2.52411e20 | 0.946653 | ||||||||
\(530\) | −3.89551e20 | − | 1.31549e20i | −1.44044 | − | 0.486426i | ||||
\(531\) | 1.59248e19 | − | 4.56043e18i | 0.0580584 | − | 0.0166264i | ||||
\(532\) | 4.35897e20 | + | 3.32292e20i | 1.56692 | + | 1.19449i | ||||
\(533\) | − | 5.62828e19i | − | 0.199490i | ||||||
\(534\) | 6.72109e19 | − | 3.56751e20i | 0.234899 | − | 1.24682i | ||||
\(535\) | − | 1.45185e19i | − | 0.0500342i | ||||||
\(536\) | −2.56785e20 | + | 1.73345e20i | −0.872636 | + | 0.589080i | ||||
\(537\) | −7.57738e19 | + | 1.06360e19i | −0.253929 | + | 0.0356428i | ||||
\(538\) | 1.98168e19 | − | 5.86829e19i | 0.0654887 | − | 0.193930i | ||||
\(539\) | 4.56065e20 | 1.48631 | ||||||||
\(540\) | 7.09440e19 | − | 2.98983e20i | 0.228014 | − | 0.960935i | ||||
\(541\) | −3.68575e20 | −1.16828 | −0.584140 | − | 0.811653i | \(-0.698568\pi\) | ||||
−0.584140 | + | 0.811653i | \(0.698568\pi\) | |||||||
\(542\) | 1.40897e20 | − | 4.17235e20i | 0.440461 | − | 1.30432i | ||||
\(543\) | −4.27831e20 | + | 6.00527e19i | −1.31909 | + | 0.185154i | ||||
\(544\) | −2.03748e20 | − | 1.17383e19i | −0.619586 | − | 0.0356956i | ||||
\(545\) | − | 1.46863e20i | − | 0.440494i | ||||||
\(546\) | −2.02191e19 | + | 1.07322e20i | −0.0598161 | + | 0.317499i | ||||
\(547\) | 3.66624e20i | 1.06983i | 0.844905 | + | 0.534916i | \(0.179657\pi\) | ||||
−0.844905 | + | 0.534916i | \(0.820343\pi\) | |||||||
\(548\) | 2.34732e19 | − | 3.07918e19i | 0.0675643 | − | 0.0886301i | ||||
\(549\) | −1.49109e20 | + | 4.27009e19i | −0.423362 | + | 0.121239i | ||||
\(550\) | −5.63757e18 | − | 1.90377e18i | −0.0157896 | − | 0.00533204i | ||||
\(551\) | 7.80047e19 | 0.215518 | ||||||||
\(552\) | 3.42608e20 | + | 3.80347e20i | 0.933801 | + | 1.03666i | ||||
\(553\) | −6.08370e20 | −1.63580 | ||||||||
\(554\) | 5.15687e20 | + | 1.74144e20i | 1.36793 | + | 0.461939i | ||||
\(555\) | 9.32989e19 | + | 6.64686e20i | 0.244163 | + | 1.73948i | ||||
\(556\) | 3.65638e20 | − | 4.79640e20i | 0.944040 | − | 1.23838i | ||||
\(557\) | 3.18417e20i | 0.811114i | 0.914070 | + | 0.405557i | \(0.132922\pi\) | ||||
−0.914070 | + | 0.405557i | \(0.867078\pi\) | |||||||
\(558\) | −1.42256e19 | + | 3.04000e20i | −0.0357531 | + | 0.764042i | ||||
\(559\) | − | 3.09118e19i | − | 0.0766541i | ||||||
\(560\) | −1.91145e20 | − | 6.95740e20i | −0.467684 | − | 1.70230i | ||||
\(561\) | −2.41936e19 | − | 1.72361e20i | −0.0584088 | − | 0.416120i | ||||
\(562\) | −1.05318e20 | + | 3.11874e20i | −0.250887 | + | 0.742945i | ||||
\(563\) | 1.18420e19 | 0.0278363 | 0.0139182 | − | 0.999903i | \(-0.495570\pi\) | ||||
0.0139182 | + | 0.999903i | \(0.495570\pi\) | |||||||
\(564\) | 3.15599e20 | + | 1.77315e20i | 0.732053 | + | 0.411293i | ||||
\(565\) | 4.56499e19 | 0.104490 | ||||||||
\(566\) | 6.96962e19 | − | 2.06389e20i | 0.157429 | − | 0.466191i | ||||
\(567\) | −4.24476e20 | − | 6.80346e20i | −0.946195 | − | 1.51655i | ||||
\(568\) | −8.70894e18 | − | 1.29010e19i | −0.0191581 | − | 0.0283800i | ||||
\(569\) | − | 7.78881e20i | − | 1.69094i | −0.534020 | − | 0.845472i | \(-0.679319\pi\) | ||
0.534020 | − | 0.845472i | \(-0.320681\pi\) | |||||||
\(570\) | 4.99294e20 | + | 9.40657e19i | 1.06978 | + | 0.201544i | ||||
\(571\) | − | 2.47283e20i | − | 0.522905i | −0.965216 | − | 0.261452i | \(-0.915799\pi\) | ||
0.965216 | − | 0.261452i | \(-0.0842015\pi\) | |||||||
\(572\) | 4.66324e19 | + | 3.55487e19i | 0.0973235 | + | 0.0741914i | ||||
\(573\) | −5.51403e20 | + | 7.73979e19i | −1.13582 | + | 0.159430i | ||||
\(574\) | 9.19377e20 | + | 3.10467e20i | 1.86919 | + | 0.631214i | ||||
\(575\) | 1.71135e19 | 0.0343424 | ||||||||
\(576\) | −5.25657e19 | + | 5.02113e20i | −0.104120 | + | 0.994565i | ||||
\(577\) | 8.63573e20 | 1.68842 | 0.844210 | − | 0.536012i | \(-0.180070\pi\) | ||||
0.844210 | + | 0.536012i | \(0.180070\pi\) | |||||||
\(578\) | 3.01836e20 | + | 1.01928e20i | 0.582522 | + | 0.196713i | ||||
\(579\) | 6.71211e20 | − | 9.42147e19i | 1.27870 | − | 0.179486i | ||||
\(580\) | −8.16617e19 | − | 6.22521e19i | −0.153571 | − | 0.117070i | ||||
\(581\) | − | 1.33669e20i | − | 0.248148i | ||||||
\(582\) | −6.13109e20 | − | 1.15508e20i | −1.12361 | − | 0.211685i | ||||
\(583\) | 5.76110e20i | 1.04230i | ||||||||
\(584\) | 1.09443e20 | + | 1.62124e20i | 0.195476 | + | 0.289569i | ||||
\(585\) | 2.78702e19 | + | 9.73215e19i | 0.0491441 | + | 0.171609i | ||||
\(586\) | 2.59590e20 | − | 7.68716e20i | 0.451914 | − | 1.33824i | ||||
\(587\) | 2.17267e20 | 0.373428 | 0.186714 | − | 0.982414i | \(-0.440216\pi\) | ||||
0.186714 | + | 0.982414i | \(0.440216\pi\) | |||||||
\(588\) | −1.12781e21 | − | 6.33641e20i | −1.91384 | − | 1.07526i | ||||
\(589\) | −5.03196e20 | −0.843087 | ||||||||
\(590\) | 1.15354e19 | − | 3.41593e19i | 0.0190828 | − | 0.0565092i | ||||
\(591\) | 3.64831e19 | + | 2.59915e20i | 0.0595917 | + | 0.424547i | ||||
\(592\) | −2.92143e20 | − | 1.06336e21i | −0.471175 | − | 1.71501i | ||||
\(593\) | 5.31272e20i | 0.846072i | 0.906113 | + | 0.423036i | \(0.139036\pi\) | ||||
−0.906113 | + | 0.423036i | \(0.860964\pi\) | |||||||
\(594\) | −4.28711e20 | + | 3.98529e19i | −0.674165 | + | 0.0626703i | ||||
\(595\) | − | 7.05564e20i | − | 1.09562i | ||||||
\(596\) | −6.33741e20 | + | 8.31334e20i | −0.971772 | + | 1.27476i | ||||
\(597\) | 1.02375e19 | + | 7.29346e19i | 0.0155019 | + | 0.110440i | ||||
\(598\) | −1.59779e20 | − | 5.39563e19i | −0.238925 | − | 0.0806832i | ||||
\(599\) | −8.54948e20 | −1.26252 | −0.631261 | − | 0.775571i | \(-0.717462\pi\) | ||||
−0.631261 | + | 0.775571i | \(0.717462\pi\) | |||||||
\(600\) | 1.12962e19 | + | 1.25405e19i | 0.0164739 | + | 0.0182886i | ||||
\(601\) | 1.07580e21 | 1.54943 | 0.774717 | − | 0.632308i | \(-0.217892\pi\) | ||||
0.774717 | + | 0.632308i | \(0.217892\pi\) | |||||||
\(602\) | 5.04943e20 | + | 1.70516e20i | 0.718239 | + | 0.242544i | ||||
\(603\) | 2.06332e20 | + | 7.20500e20i | 0.289858 | + | 1.01217i | ||||
\(604\) | −5.80697e20 | + | 7.61752e20i | −0.805698 | + | 1.05691i | ||||
\(605\) | 3.90312e20i | 0.534868i | ||||||||
\(606\) | 7.92356e18 | − | 4.20577e19i | 0.0107245 | − | 0.0569247i | ||||
\(607\) | − | 2.34478e20i | − | 0.313464i | −0.987641 | − | 0.156732i | \(-0.949904\pi\) | ||
0.987641 | − | 0.156732i | \(-0.0500959\pi\) | |||||||
\(608\) | −8.33370e20 | − | 4.80121e19i | −1.10043 | − | 0.0633978i | ||||
\(609\) | −2.65367e20 | + | 3.72483e19i | −0.346112 | + | 0.0485821i | ||||
\(610\) | −1.08009e20 | + | 3.19845e20i | −0.139152 | + | 0.412066i | ||||
\(611\) | −1.19259e20 | −0.151768 | ||||||||
\(612\) | −1.79645e20 | + | 4.59848e20i | −0.225828 | + | 0.578068i | ||||
\(613\) | 8.66071e20 | 1.07547 | 0.537737 | − | 0.843113i | \(-0.319279\pi\) | ||||
0.537737 | + | 0.843113i | \(0.319279\pi\) | |||||||
\(614\) | 1.39326e20 | − | 4.12581e20i | 0.170910 | − | 0.506112i | ||||
\(615\) | 8.90778e20 | − | 1.25034e20i | 1.07946 | − | 0.151518i | ||||
\(616\) | −8.37921e20 | + | 5.65645e20i | −1.00311 | + | 0.677156i | ||||
\(617\) | 1.00657e21i | 1.19043i | 0.803565 | + | 0.595217i | \(0.202934\pi\) | ||||
−0.803565 | + | 0.595217i | \(0.797066\pi\) | |||||||
\(618\) | −1.15773e20 | + | 6.14516e20i | −0.135268 | + | 0.717992i | ||||
\(619\) | − | 1.12221e21i | − | 1.29537i | −0.761908 | − | 0.647685i | \(-0.775737\pi\) | ||
0.761908 | − | 0.647685i | \(-0.224263\pi\) | |||||||
\(620\) | 5.26786e20 | + | 4.01578e20i | 0.600754 | + | 0.457965i | ||||
\(621\) | 1.13152e21 | − | 5.03084e20i | 1.27489 | − | 0.566831i | ||||
\(622\) | 6.14205e20 | + | 2.07412e20i | 0.683731 | + | 0.230891i | ||||
\(623\) | −2.06200e21 | −2.26793 | ||||||||
\(624\) | −6.59276e19 | − | 1.52698e20i | −0.0716445 | − | 0.165939i | ||||
\(625\) | −9.07834e20 | −0.974780 | ||||||||
\(626\) | 6.97175e19 | + | 2.35431e19i | 0.0739663 | + | 0.0249779i | ||||
\(627\) | −9.89565e19 | − | 7.04993e20i | −0.103738 | − | 0.739057i | ||||
\(628\) | −5.18333e20 | − | 3.95134e20i | −0.536922 | − | 0.409305i | ||||
\(629\) | − | 1.07837e21i | − | 1.10380i | ||||||
\(630\) | −1.74348e21 | − | 8.15857e19i | −1.76345 | − | 0.0825201i | ||||
\(631\) | 7.23813e20i | 0.723447i | 0.932286 | + | 0.361723i | \(0.117811\pi\) | ||||
−0.932286 | + | 0.361723i | \(0.882189\pi\) | |||||||
\(632\) | 7.67929e20 | − | 5.18397e20i | 0.758478 | − | 0.512017i | ||||
\(633\) | −1.12815e20 | − | 8.03727e20i | −0.110113 | − | 0.784478i | ||||
\(634\) | −3.19062e20 | + | 9.44829e20i | −0.307755 | + | 0.911347i | ||||
\(635\) | 8.08624e20 | 0.770803 | ||||||||
\(636\) | 8.00428e20 | − | 1.42467e21i | 0.754039 | − | 1.34210i | ||||
\(637\) | 4.26176e20 | 0.396774 | ||||||||
\(638\) | −4.60326e19 | + | 1.36315e20i | −0.0423555 | + | 0.125426i | ||||
\(639\) | −3.61984e19 | + | 1.03662e19i | −0.0329179 | + | 0.00942680i | ||||
\(640\) | 8.34122e20 | + | 7.15338e20i | 0.749687 | + | 0.642927i | ||||
\(641\) | 1.62586e21i | 1.44427i | 0.691752 | + | 0.722135i | \(0.256839\pi\) | ||||
−0.691752 | + | 0.722135i | \(0.743161\pi\) | |||||||
\(642\) | 5.67045e19 | + | 1.06830e19i | 0.0497858 | + | 0.00937951i | ||||
\(643\) | 1.72137e21i | 1.49379i | 0.664940 | + | 0.746897i | \(0.268457\pi\) | ||||
−0.664940 | + | 0.746897i | \(0.731543\pi\) | |||||||
\(644\) | 1.76275e21 | − | 2.31236e21i | 1.51198 | − | 1.98340i | ||||
\(645\) | 4.89236e20 | − | 6.86717e19i | 0.414782 | − | 0.0582210i | ||||
\(646\) | −7.73385e20 | − | 2.61166e20i | −0.648114 | − | 0.218864i | ||||
\(647\) | −8.68296e20 | −0.719260 | −0.359630 | − | 0.933095i | \(-0.617097\pi\) | ||||
−0.359630 | + | 0.933095i | \(0.617097\pi\) | |||||||
\(648\) | 1.11553e21 | + | 4.97083e20i | 0.913419 | + | 0.407021i | ||||
\(649\) | −5.05185e19 | −0.0408898 | ||||||||
\(650\) | −5.26810e18 | − | 1.77900e18i | −0.00421506 | − | 0.00142340i | ||||
\(651\) | 1.71184e21 | − | 2.40283e20i | 1.35396 | − | 0.190049i | ||||
\(652\) | −4.69266e20 | + | 6.15578e20i | −0.366912 | + | 0.481311i | ||||
\(653\) | 5.16021e20i | 0.398858i | 0.979912 | + | 0.199429i | \(0.0639088\pi\) | ||||
−0.979912 | + | 0.199429i | \(0.936091\pi\) | |||||||
\(654\) | 5.73602e20 | + | 1.08065e20i | 0.438306 | + | 0.0825758i | ||||
\(655\) | − | 1.68600e21i | − | 1.27364i | ||||||
\(656\) | −1.42506e21 | + | 3.91514e20i | −1.06427 | + | 0.292394i | ||||
\(657\) | 4.54897e20 | − | 1.30270e20i | 0.335872 | − | 0.0961845i | ||||
\(658\) | 6.57855e20 | − | 1.94809e21i | 0.480215 | − | 1.42205i | ||||
\(659\) | 1.89705e21 | 1.36911 | 0.684553 | − | 0.728963i | \(-0.259997\pi\) | ||||
0.684553 | + | 0.728963i | \(0.259997\pi\) | |||||||
\(660\) | −4.59028e20 | + | 8.17016e20i | −0.327536 | + | 0.582977i | ||||
\(661\) | −1.17502e21 | −0.828959 | −0.414479 | − | 0.910059i | \(-0.636036\pi\) | ||||
−0.414479 | + | 0.910059i | \(0.636036\pi\) | |||||||
\(662\) | 5.23875e20 | − | 1.55134e21i | 0.365421 | − | 1.08211i | ||||
\(663\) | −2.26080e19 | − | 1.61066e20i | −0.0155923 | − | 0.111084i | ||||
\(664\) | 1.13901e20 | + | 1.68727e20i | 0.0776723 | + | 0.115060i | ||||
\(665\) | − | 2.88590e21i | − | 1.94589i | ||||||
\(666\) | −2.66471e21 | − | 1.24694e20i | −1.77661 | − | 0.0831361i | ||||
\(667\) | − | 4.13801e20i | − | 0.272802i | ||||||
\(668\) | 1.67167e21 | + | 1.27434e21i | 1.08975 | + | 0.830736i | ||||
\(669\) | 8.34327e19 | + | 5.94397e20i | 0.0537824 | + | 0.383160i | ||||
\(670\) | 1.54550e21 | + | 5.21904e20i | 0.985163 | + | 0.332682i | ||||
\(671\) | 4.73022e20 | 0.298169 | ||||||||
\(672\) | 2.85799e21 | − | 2.34611e20i | 1.78152 | − | 0.146244i | ||||
\(673\) | −2.04488e21 | −1.26053 | −0.630267 | − | 0.776378i | \(-0.717055\pi\) | ||||
−0.630267 | + | 0.776378i | \(0.717055\pi\) | |||||||
\(674\) | 1.24841e20 | + | 4.21579e19i | 0.0761040 | + | 0.0256998i | ||||
\(675\) | 3.73074e19 | − | 1.65873e19i | 0.0224914 | − | 0.00999991i | ||||
\(676\) | −1.29030e21 | − | 9.83621e20i | −0.769293 | − | 0.586445i | ||||
\(677\) | − | 1.28106e21i | − | 0.755360i | −0.925936 | − | 0.377680i | \(-0.876722\pi\) | ||
0.925936 | − | 0.377680i | \(-0.123278\pi\) | |||||||
\(678\) | −3.35902e19 | + | 1.78294e20i | −0.0195880 | + | 0.103971i | ||||
\(679\) | 3.54374e21i | 2.04380i | ||||||||
\(680\) | 6.01216e20 | + | 8.90614e20i | 0.342937 | + | 0.508010i | ||||
\(681\) | −2.15897e21 | + | 3.03044e20i | −1.21799 | + | 0.170963i | ||||
\(682\) | 2.96949e20 | − | 8.79345e20i | 0.165691 | − | 0.490655i | ||||
\(683\) | −1.05077e21 | −0.579901 | −0.289950 | − | 0.957042i | \(-0.593639\pi\) | ||||
−0.289950 | + | 0.957042i | \(0.593639\pi\) | |||||||
\(684\) | −7.34782e20 | + | 1.88087e21i | −0.401086 | + | 1.02669i | ||||
\(685\) | −2.03860e20 | −0.110066 | ||||||||
\(686\) | −1.27996e21 | + | 3.79032e21i | −0.683544 | + | 2.02416i | ||||
\(687\) | −1.25108e21 | + | 1.75608e20i | −0.660859 | + | 0.0927617i | ||||
\(688\) | −7.82674e20 | + | 2.15029e20i | −0.408948 | + | 0.112353i | ||||
\(689\) | 5.38354e20i | 0.278243i | ||||||||
\(690\) | 4.99002e20 | − | 2.64866e21i | 0.255114 | − | 1.35412i | ||||
\(691\) | 2.97575e21i | 1.50491i | 0.658644 | + | 0.752455i | \(0.271130\pi\) | ||||
−0.658644 | + | 0.752455i | \(0.728870\pi\) | |||||||
\(692\) | 6.81374e20 | − | 8.93819e20i | 0.340871 | − | 0.447151i | ||||
\(693\) | 6.73286e20 | + | 2.35108e21i | 0.333196 | + | 1.16351i | ||||
\(694\) | 8.76002e20 | + | 2.95820e20i | 0.428854 | + | 0.144821i | ||||
\(695\) | −3.17550e21 | −1.53789 | ||||||||
\(696\) | 3.03226e20 | − | 2.73138e20i | 0.145277 | − | 0.130862i | ||||
\(697\) | −1.44518e21 | −0.684976 | ||||||||
\(698\) | −3.06440e21 | − | 1.03483e21i | −1.43691 | − | 0.485234i | ||||
\(699\) | −4.47811e19 | − | 3.19033e20i | −0.0207738 | − | 0.147998i | ||||
\(700\) | 5.81199e19 | − | 7.62410e19i | 0.0266741 | − | 0.0349908i | ||||
\(701\) | 1.49886e21i | 0.680575i | 0.940321 | + | 0.340287i | \(0.110524\pi\) | ||||
−0.940321 | + | 0.340287i | \(0.889476\pi\) | |||||||
\(702\) | −4.00615e20 | + | 3.72411e19i | −0.179969 | + | 0.0167299i | ||||
\(703\) | − | 4.41076e21i | − | 1.96042i | ||||||
\(704\) | 5.75695e20 | − | 1.42800e21i | 0.253161 | − | 0.627961i | ||||
\(705\) | −2.64938e20 | − | 1.88749e21i | −0.115272 | − | 0.821232i | ||||
\(706\) | −8.97924e20 | + | 2.65900e21i | −0.386549 | + | 1.14468i | ||||
\(707\) | −2.43091e20 | −0.103544 | ||||||||
\(708\) | 1.24928e20 | + | 7.01887e19i | 0.0526513 | + | 0.0295813i | ||||
\(709\) | −8.12349e20 | −0.338763 | −0.169382 | − | 0.985551i | \(-0.554177\pi\) | ||||
−0.169382 | + | 0.985551i | \(0.554177\pi\) | |||||||
\(710\) | −2.62208e19 | + | 7.76469e19i | −0.0108195 | + | 0.0320396i | ||||
\(711\) | −6.17046e20 | − | 2.15470e21i | −0.251939 | − | 0.879760i | ||||
\(712\) | 2.60281e21 | − | 1.75705e21i | 1.05158 | − | 0.709878i | ||||
\(713\) | 2.66936e21i | 1.06718i | ||||||||
\(714\) | 2.75571e21 | + | 5.19169e20i | 1.09018 | + | 0.205387i | ||||
\(715\) | − | 3.08734e20i | − | 0.120862i | ||||||
\(716\) | −5.26396e20 | − | 4.01281e20i | −0.203923 | − | 0.155454i | ||||
\(717\) | −2.57827e19 | + | 3.61899e18i | −0.00988403 | + | 0.00138737i | ||||
\(718\) | 4.18854e21 | + | 1.41444e21i | 1.58902 | + | 0.536601i | ||||
\(719\) | 4.05458e21 | 1.52223 | 0.761114 | − | 0.648618i | \(-0.224653\pi\) | ||||
0.761114 | + | 0.648618i | \(0.224653\pi\) | |||||||
\(720\) | 2.27027e21 | − | 1.38265e21i | 0.843497 | − | 0.513711i | ||||
\(721\) | 3.55187e21 | 1.30600 | ||||||||
\(722\) | −5.59668e20 | − | 1.88996e20i | −0.203658 | − | 0.0687739i | ||||
\(723\) | −2.09106e21 | + | 2.93512e20i | −0.753059 | + | 0.105703i | ||||
\(724\) | −2.97212e21 | − | 2.26570e21i | −1.05932 | − | 0.807538i | ||||
\(725\) | − | 1.36435e19i | − | 0.00481272i | ||||||
\(726\) | −1.52444e21 | − | 2.87200e20i | −0.532212 | − | 0.100267i | ||||
\(727\) | − | 2.72750e21i | − | 0.942448i | −0.882014 | − | 0.471224i | \(-0.843812\pi\) | ||
0.882014 | − | 0.471224i | \(-0.156188\pi\) | |||||||
\(728\) | −7.83007e20 | + | 5.28575e20i | −0.267781 | + | 0.180768i | ||||
\(729\) | 1.97909e21 | − | 2.19344e21i | 0.669898 | − | 0.742453i | ||||
\(730\) | 3.29511e20 | − | 9.75773e20i | 0.110395 | − | 0.326909i | ||||
\(731\) | −7.93725e20 | −0.263202 | ||||||||
\(732\) | −1.16974e21 | − | 6.57200e20i | −0.383934 | − | 0.215707i | ||||
\(733\) | 7.35135e20 | 0.238829 | 0.119415 | − | 0.992844i | \(-0.461898\pi\) | ||||
0.119415 | + | 0.992844i | \(0.461898\pi\) | |||||||
\(734\) | 6.72793e20 | − | 1.99232e21i | 0.216352 | − | 0.640677i | ||||
\(735\) | 9.46766e20 | + | 6.74501e21i | 0.301361 | + | 2.14698i | ||||
\(736\) | −2.54696e20 | + | 4.42088e21i | −0.0802487 | + | 1.39292i | ||||
\(737\) | − | 2.28565e21i | − | 0.712859i | ||||||
\(738\) | −1.67109e20 | + | 3.57110e21i | −0.0515913 | + | 1.10250i | ||||
\(739\) | 9.25192e20i | 0.282747i | 0.989956 | + | 0.141374i | \(0.0451519\pi\) | ||||
−0.989956 | + | 0.141374i | \(0.954848\pi\) | |||||||
\(740\) | −3.52003e21 | + | 4.61754e21i | −1.06490 | + | 1.39692i | ||||
\(741\) | −9.24713e19 | − | 6.58790e20i | −0.0276930 | − | 0.197293i | ||||
\(742\) | −8.79400e21 | − | 2.96967e21i | −2.60710 | − | 0.880398i | ||||
\(743\) | 5.40289e21 | 1.58566 | 0.792830 | − | 0.609443i | \(-0.208607\pi\) | ||||
0.792830 | + | 0.609443i | \(0.208607\pi\) | |||||||
\(744\) | −1.95606e21 | + | 1.76197e21i | −0.568310 | + | 0.511920i | ||||
\(745\) | 5.50392e21 | 1.58307 | ||||||||
\(746\) | −6.85709e20 | − | 2.31559e20i | −0.195253 | − | 0.0659357i | ||||
\(747\) | 4.73424e20 | − | 1.35576e20i | 0.133458 | − | 0.0382189i | ||||
\(748\) | 9.12787e20 | − | 1.19738e21i | 0.254746 | − | 0.334173i | ||||
\(749\) | − | 3.27750e20i | − | 0.0905584i | ||||||
\(750\) | 6.84872e20 | − | 3.63525e21i | 0.187348 | − | 0.994432i | ||||
\(751\) | − | 7.63656e20i | − | 0.206823i | −0.994639 | − | 0.103411i | \(-0.967024\pi\) | ||
0.994639 | − | 0.103411i | \(-0.0329758\pi\) | |||||||
\(752\) | 8.29587e20 | + | 3.01958e21i | 0.222448 | + | 0.809679i | ||||
\(753\) | −5.08956e21 | + | 7.14398e20i | −1.35120 | + | 0.189661i | ||||
\(754\) | −4.30158e19 | + | 1.27381e20i | −0.0113069 | + | 0.0334827i | ||||
\(755\) | 5.04325e21 | 1.31253 | ||||||||
\(756\) | 1.60154e21 | − | 6.74946e21i | 0.412690 | − | 1.73922i | ||||
\(757\) | 1.15431e21 | 0.294513 | 0.147256 | − | 0.989098i | \(-0.452956\pi\) | ||||
0.147256 | + | 0.989098i | \(0.452956\pi\) | |||||||
\(758\) | 7.36745e20 | − | 2.18170e21i | 0.186122 | − | 0.551158i | ||||
\(759\) | −3.73986e21 | + | 5.24946e20i | −0.935496 | + | 0.131311i | ||||
\(760\) | 2.45909e21 | + | 3.64279e21i | 0.609079 | + | 0.902261i | ||||
\(761\) | − | 3.07416e21i | − | 0.753949i | −0.926224 | − | 0.376975i | \(-0.876964\pi\) | ||
0.926224 | − | 0.376975i | \(-0.123036\pi\) | |||||||
\(762\) | −5.95003e20 | + | 3.15823e21i | −0.144496 | + | 0.766976i | ||||
\(763\) | − | 3.31540e21i | − | 0.797262i | ||||||
\(764\) | −3.83057e21 | − | 2.92011e21i | −0.912143 | − | 0.695342i | ||||
\(765\) | 2.49893e21 | − | 7.15626e20i | 0.589242 | − | 0.168743i | ||||
\(766\) | 1.20415e21 | + | 4.06632e20i | 0.281167 | + | 0.0949481i | ||||
\(767\) | −4.72077e19 | −0.0109156 | ||||||||
\(768\) | −3.40765e21 | + | 2.73146e21i | −0.780272 | + | 0.625440i | ||||
\(769\) | 2.51814e21 | 0.570995 | 0.285498 | − | 0.958379i | \(-0.407841\pi\) | ||||
0.285498 | + | 0.958379i | \(0.407841\pi\) | |||||||
\(770\) | 5.04316e21 | + | 1.70304e21i | 1.13246 | + | 0.382423i | ||||
\(771\) | −7.99419e20 | − | 5.69528e21i | −0.177773 | − | 1.26650i | ||||
\(772\) | 4.66286e21 | + | 3.55458e21i | 1.02689 | + | 0.782815i | ||||
\(773\) | − | 2.45966e21i | − | 0.536450i | −0.963356 | − | 0.268225i | \(-0.913563\pi\) | ||
0.963356 | − | 0.268225i | \(-0.0864370\pi\) | |||||||
\(774\) | −9.17799e19 | + | 1.96133e21i | −0.0198240 | + | 0.423637i | ||||
\(775\) | 8.80120e19i | 0.0188269i | ||||||||
\(776\) | −3.01965e21 | − | 4.47317e21i | −0.639725 | − | 0.947660i | ||||
\(777\) | 2.10619e21 | + | 1.50051e22i | 0.441917 | + | 3.14834i | ||||
\(778\) | 1.64293e21 | − | 4.86517e21i | 0.341408 | − | 1.01100i | ||||
\(779\) | −5.91107e21 | −1.21656 | ||||||||
\(780\) | −4.28945e20 | + | 7.63472e20i | −0.0874363 | + | 0.155627i | ||||
\(781\) | 1.14833e20 | 0.0231837 | ||||||||
\(782\) | −1.38544e21 | + | 4.10267e21i | −0.277037 | + | 0.820381i | ||||
\(783\) | −4.01075e20 | − | 9.02083e20i | −0.0794351 | − | 0.178663i | ||||
\(784\) | −2.96456e21 | − | 1.07906e22i | −0.581555 | − | 2.11678i | ||||
\(785\) | 3.43167e21i | 0.666781i | ||||||||
\(786\) | 6.58497e21 | + | 1.24059e21i | 1.26732 | + | 0.238759i | ||||
\(787\) | 2.62038e21i | 0.499521i | 0.968308 | + | 0.249761i | \(0.0803520\pi\) | ||||
−0.968308 | + | 0.249761i | \(0.919648\pi\) | |||||||
\(788\) | −1.37645e21 | + | 1.80562e21i | −0.259905 | + | 0.340941i | ||||
\(789\) | −9.43296e20 | + | 1.32406e20i | −0.176429 | + | 0.0247645i | ||||
\(790\) | −4.62191e21 | − | 1.56079e21i | −0.856285 | − | 0.289161i | ||||
\(791\) | 1.03053e21 | 0.189120 | ||||||||
\(792\) | −2.85325e21 | − | 2.39400e21i | −0.518681 | − | 0.435196i | ||||
\(793\) | 4.42022e20 | 0.0795966 | ||||||||
\(794\) | 1.69435e21 | + | 5.72168e20i | 0.302237 | + | 0.102063i | ||||
\(795\) | −8.52044e21 | + | 1.19597e21i | −1.50560 | + | 0.211333i | ||||
\(796\) | −3.86245e20 | + | 5.06672e20i | −0.0676106 | + | 0.0886909i | ||||
\(797\) | − | 5.96139e21i | − | 1.03374i | −0.856065 | − | 0.516868i | \(-0.827098\pi\) | ||
0.856065 | − | 0.516868i | \(-0.172902\pi\) | |||||||
\(798\) | 1.12714e22 | + | 2.12350e21i | 1.93623 | + | 0.364780i | ||||
\(799\) | 3.06222e21i | 0.521117i | ||||||||
\(800\) | −8.39761e18 | + | 1.45761e20i | −0.00141573 | + | 0.0245735i | ||||
\(801\) | −2.09141e21 | − | 7.30310e21i | −0.349297 | − | 1.21973i | ||||
\(802\) | −3.18092e21 | + | 9.41956e21i | −0.526314 | + | 1.55856i | ||||
\(803\) | −1.44308e21 | −0.236550 | ||||||||
\(804\) | −3.17561e21 | + | 5.65221e21i | −0.515711 | + | 0.917906i | ||||
\(805\) | −1.53092e22 | −2.46310 | ||||||||
\(806\) | 2.77488e20 | − | 8.21716e20i | 0.0442314 | − | 0.130981i | ||||
\(807\) | −1.80164e20 | − | 1.28354e21i | −0.0284523 | − | 0.202702i | ||||
\(808\) | 3.06848e20 | − | 2.07140e20i | 0.0480107 | − | 0.0324100i | ||||
\(809\) | 6.62559e21i | 1.02710i | 0.858061 | + | 0.513548i | \(0.171669\pi\) | ||||
−0.858061 | + | 0.513548i | \(0.828331\pi\) | |||||||
\(810\) | −1.47939e21 | − | 6.25773e21i | −0.227219 | − | 0.961123i | ||||
\(811\) | 1.95861e21i | 0.298051i | 0.988833 | + | 0.149025i | \(0.0476136\pi\) | ||||
−0.988833 | + | 0.149025i | \(0.952386\pi\) | |||||||
\(812\) | −1.84349e21 | − | 1.40532e21i | −0.277952 | − | 0.211888i | ||||
\(813\) | −1.28097e21 | − | 9.12594e21i | −0.191363 | − | 1.36332i | ||||
\(814\) | 7.70789e21 | + | 2.60290e21i | 1.14091 | + | 0.385278i | ||||
\(815\) | 4.07549e21 | 0.597720 | ||||||||
\(816\) | −3.92085e21 | + | 1.69283e21i | −0.569775 | + | 0.246001i | ||||
\(817\) | −3.24649e21 | −0.467465 | ||||||||
\(818\) | −2.94206e21 | − | 9.93513e20i | −0.419761 | − | 0.141750i | ||||
\(819\) | 6.29162e20 | + | 2.19700e21i | 0.0889473 | + | 0.310600i | ||||
\(820\) | 6.18818e21 | + | 4.71736e21i | 0.866880 | + | 0.660838i | ||||
\(821\) | 8.01561e21i | 1.11266i | 0.830961 | + | 0.556330i | \(0.187791\pi\) | ||||
−0.830961 | + | 0.556330i | \(0.812209\pi\) | |||||||
\(822\) | 1.50005e20 | − | 7.96214e20i | 0.0206332 | − | 0.109519i | ||||
\(823\) | 8.41854e21i | 1.14746i | 0.819044 | + | 0.573731i | \(0.194504\pi\) | ||||
−0.819044 | + | 0.573731i | \(0.805496\pi\) | |||||||
\(824\) | −4.48344e21 | + | 3.02658e21i | −0.605560 | + | 0.408788i | ||||
\(825\) | −1.23307e20 | + | 1.73081e19i | −0.0165038 | + | 0.00231656i | ||||
\(826\) | 2.60407e20 | − | 7.71137e20i | 0.0345385 | − | 0.102278i | ||||
\(827\) | 6.66388e21 | 0.875862 | 0.437931 | − | 0.899008i | \(-0.355711\pi\) | ||||
0.437931 | + | 0.899008i | \(0.355711\pi\) | |||||||
\(828\) | 9.97768e21 | + | 3.89789e21i | 1.29958 | + | 0.507694i | ||||
\(829\) | −4.09211e21 | −0.528188 | −0.264094 | − | 0.964497i | \(-0.585073\pi\) | ||||
−0.264094 | + | 0.964497i | \(0.585073\pi\) | |||||||
\(830\) | 3.42932e20 | − | 1.01551e21i | 0.0438654 | − | 0.129897i | ||||
\(831\) | 1.12793e22 | − | 1.58323e21i | 1.42980 | − | 0.200695i | ||||
\(832\) | 5.37966e20 | − | 1.33441e21i | 0.0675818 | − | 0.167635i | ||||
\(833\) | − | 1.09430e22i | − | 1.36238i | ||||||
\(834\) | 2.33660e21 | − | 1.24025e22i | 0.288297 | − | 1.53026i | ||||
\(835\) | − | 1.10675e22i | − | 1.35332i | ||||||
\(836\) | 3.73348e21 | − | 4.89754e21i | 0.452446 | − | 0.593514i | ||||
\(837\) | 2.58727e21 | + | 5.81919e21i | 0.310743 | + | 0.698911i | ||||
\(838\) | −5.52797e21 | − | 1.86676e21i | −0.658014 | − | 0.222207i | ||||
\(839\) | 2.50195e21 | 0.295164 | 0.147582 | − | 0.989050i | \(-0.452851\pi\) | ||||
0.147582 | + | 0.989050i | \(0.452851\pi\) | |||||||
\(840\) | −1.01051e22 | − | 1.12183e22i | −1.18154 | − | 1.31169i | ||||
\(841\) | 8.29929e21 | 0.961770 | ||||||||
\(842\) | 4.70111e21 | + | 1.58753e21i | 0.539957 | + | 0.182340i | ||||
\(843\) | 9.57495e20 | + | 6.82145e21i | 0.109001 | + | 0.776551i | ||||
\(844\) | 4.25636e21 | − | 5.58345e21i | 0.480253 | − | 0.629990i | ||||
\(845\) | 8.54257e21i | 0.955352i | ||||||||
\(846\) | 7.56688e21 | + | 3.54090e20i | 0.838763 | + | 0.0392497i | ||||
\(847\) | 8.81117e21i | 0.968073i | ||||||||
\(848\) | 1.36309e22 | − | 3.74490e21i | 1.48442 | − | 0.407822i | ||||
\(849\) | −6.33642e20 | − | 4.51424e21i | −0.0683969 | − | 0.487278i | ||||
\(850\) | −4.56796e19 | + | 1.35270e20i | −0.00488742 | + | 0.0144730i | ||||
\(851\) | −2.33983e22 | −2.48149 | ||||||||
\(852\) | −2.83971e20 | − | 1.59545e20i | −0.0298522 | − | 0.0167720i | ||||
\(853\) | −1.30947e22 | −1.36451 | −0.682255 | − | 0.731114i | \(-0.739001\pi\) | ||||
−0.682255 | + | 0.731114i | \(0.739001\pi\) | |||||||
\(854\) | −2.43828e21 | + | 7.22041e21i | −0.251855 | + | 0.745809i | ||||
\(855\) | 1.02211e22 | − | 2.92705e21i | 1.04653 | − | 0.299699i | ||||
\(856\) | 2.79278e20 | + | 4.13710e20i | 0.0283455 | + | 0.0419897i | ||||
\(857\) | − | 1.78356e22i | − | 1.79446i | −0.441568 | − | 0.897228i | \(-0.645578\pi\) | ||
0.441568 | − | 0.897228i | \(-0.354422\pi\) | |||||||
\(858\) | 1.20582e21 | + | 2.27173e20i | 0.120262 | + | 0.0226570i | ||||
\(859\) | − | 1.00607e22i | − | 0.994671i | −0.867558 | − | 0.497336i | \(-0.834312\pi\) | ||
0.867558 | − | 0.497336i | \(-0.165688\pi\) | |||||||
\(860\) | 3.39869e21 | + | 2.59088e21i | 0.333099 | + | 0.253927i | ||||
\(861\) | 2.01090e22 | − | 2.82261e21i | 1.95374 | − | 0.274238i | ||||
\(862\) | −1.31194e22 | − | 4.43034e21i | −1.26360 | − | 0.426710i | ||||
\(863\) | 4.09577e21 | 0.391070 | 0.195535 | − | 0.980697i | \(-0.437356\pi\) | ||||
0.195535 | + | 0.980697i | \(0.437356\pi\) | |||||||
\(864\) | 3.72968e21 | + | 9.88434e21i | 0.353036 | + | 0.935610i | ||||
\(865\) | −5.91761e21 | −0.555298 | ||||||||
\(866\) | 1.52674e21 | + | 5.15568e20i | 0.142030 | + | 0.0479625i | ||||
\(867\) | 6.60189e21 | − | 9.26676e20i | 0.608871 | − | 0.0854643i | ||||
\(868\) | 1.18920e22 | + | 9.06551e21i | 1.08732 | + | 0.828885i | ||||
\(869\) | 6.83537e21i | 0.619604i | ||||||||
\(870\) | −2.11160e21 | − | 3.97821e20i | −0.189766 | − | 0.0357514i | ||||
\(871\) | − | 2.13586e21i | − | 0.190299i | ||||||
\(872\) | 2.82507e21 | + | 4.18493e21i | 0.249549 | + | 0.369671i | ||||
\(873\) | −1.25511e22 | + | 3.59428e21i | −1.09919 | + | 0.314778i | ||||
\(874\) | −5.66673e21 | + | 1.67807e22i | −0.492036 | + | 1.45705i | ||||
\(875\) | −2.10116e22 | −1.80883 | ||||||||
\(876\) | 3.56860e21 | + | 2.00496e21i | 0.304591 | + | 0.171130i | ||||
\(877\) | 1.69987e22 | 1.43853 | 0.719266 | − | 0.694734i | \(-0.244478\pi\) | ||||
0.719266 | + | 0.694734i | \(0.244478\pi\) | |||||||
\(878\) | 3.28190e21 | − | 9.71859e21i | 0.275370 | − | 0.815444i | ||||
\(879\) | −2.36006e21 | − | 1.68137e22i | −0.196339 | − | 1.39877i | ||||
\(880\) | −7.81702e21 | + | 2.14762e21i | −0.644795 | + | 0.177148i | ||||
\(881\) | 1.17037e22i | 0.957202i | 0.878032 | + | 0.478601i | \(0.158856\pi\) | ||||
−0.878032 | + | 0.478601i | \(0.841144\pi\) | |||||||
\(882\) | −2.70406e22 | − | 1.26536e21i | −2.19281 | − | 0.102612i | ||||
\(883\) | 8.92795e21i | 0.717871i | 0.933362 | + | 0.358936i | \(0.116860\pi\) | ||||
−0.933362 | + | 0.358936i | \(0.883140\pi\) | |||||||
\(884\) | 8.52967e20 | − | 1.11891e21i | 0.0680049 | − | 0.0892081i | ||||
\(885\) | −1.04874e20 | − | 7.47149e20i | −0.00829072 | − | 0.0590653i | ||||
\(886\) | −1.54057e22 | − | 5.20241e21i | −1.20762 | − | 0.407804i | ||||
\(887\) | 2.45524e21 | 0.190839 | 0.0954196 | − | 0.995437i | \(-0.469581\pi\) | ||||
0.0954196 | + | 0.995437i | \(0.469581\pi\) | |||||||
\(888\) | −1.54445e22 | − | 1.71458e22i | −1.19036 | − | 1.32148i | ||||
\(889\) | 1.82544e22 | 1.39510 | ||||||||
\(890\) | −1.56654e22 | − | 5.29011e21i | −1.18718 | − | 0.400903i | ||||
\(891\) | −7.64406e21 | + | 4.76923e21i | −0.574436 | + | 0.358398i | ||||
\(892\) | −3.14779e21 | + | 4.12924e21i | −0.234568 | + | 0.307704i | ||||
\(893\) | 1.25251e22i | 0.925539i | ||||||||
\(894\) | −4.04990e21 | + | 2.14966e22i | −0.296766 | + | 1.57521i | ||||
\(895\) | 3.48506e21i | 0.253243i | ||||||||
\(896\) | 1.88301e22 | + | 1.61485e22i | 1.35688 | + | 1.16365i | ||||
\(897\) | −3.49476e21 | + | 4.90543e20i | −0.249732 | + | 0.0350537i | ||||
\(898\) | 7.05300e21 | − | 2.08859e22i | 0.499806 | − | 1.48006i | ||||
\(899\) | 2.12811e21 | 0.149553 | ||||||||
\(900\) | 3.28975e20 | + | 1.28518e20i | 0.0229269 | + | 0.00895663i | ||||
\(901\) | 1.38234e22 | 0.955384 | ||||||||
\(902\) | 3.48827e21 | − | 1.03297e22i | 0.239090 | − | 0.708010i | ||||
\(903\) | 1.10443e22 | − | 1.55024e21i | 0.750727 | − | 0.105376i | ||||
\(904\) | −1.30081e21 | + | 8.78124e20i | −0.0876903 | + | 0.0591960i | ||||
\(905\) | 1.96772e22i | 1.31552i | ||||||||
\(906\) | −3.71093e21 | + | 1.96973e22i | −0.246049 | + | 1.30601i | ||||
\(907\) | 1.52946e22i | 1.00574i | 0.864363 | + | 0.502869i | \(0.167722\pi\) | ||||
−0.864363 | + | 0.502869i | \(0.832278\pi\) | |||||||
\(908\) | −1.49982e22 | − | 1.14334e22i | −0.978130 | − | 0.745646i | ||||
\(909\) | −2.46558e20 | − | 8.60970e20i | −0.0159474 | − | 0.0556876i | ||||
\(910\) | 4.71266e21 | + | 1.59143e21i | 0.302312 | + | 0.102089i | ||||
\(911\) | 5.01687e21 | 0.319187 | 0.159593 | − | 0.987183i | \(-0.448982\pi\) | ||||
0.159593 | + | 0.987183i | \(0.448982\pi\) | |||||||
\(912\) | −1.60371e22 | + | 6.92401e21i | −1.01196 | + | 0.436914i | ||||
\(913\) | −1.50185e21 | −0.0939931 | ||||||||
\(914\) | −1.71633e22 | − | 5.79592e21i | −1.06538 | − | 0.359771i | ||||
\(915\) | 9.81968e20 | + | 6.99580e21i | 0.0604559 | + | 0.430704i | ||||
\(916\) | −8.69117e21 | − | 6.62543e21i | −0.530716 | − | 0.404574i | ||||
\(917\) | − | 3.80609e22i | − | 2.30520i | ||||||
\(918\) | 9.56244e20 | + | 1.02866e22i | 0.0574445 | + | 0.617949i | ||||
\(919\) | − | 3.31683e22i | − | 1.97632i | −0.153424 | − | 0.988160i | \(-0.549030\pi\) | ||
0.153424 | − | 0.988160i | \(-0.450970\pi\) | |||||||
\(920\) | 1.93243e22 | − | 1.30451e22i | 1.14208 | − | 0.770969i | ||||
\(921\) | −1.26668e21 | − | 9.02416e21i | −0.0742539 | − | 0.529005i | ||||
\(922\) | 2.77965e21 | − | 8.23130e21i | 0.161625 | − | 0.478615i | ||||
\(923\) | 1.07307e20 | 0.00618892 | ||||||||
\(924\) | −1.03624e22 | + | 1.84439e22i | −0.592818 | + | 1.05515i | ||||
\(925\) | −7.71468e20 | −0.0437779 | ||||||||
\(926\) | −2.14380e21 | + | 6.34836e21i | −0.120671 | + | 0.357338i | ||||
\(927\) | 3.60253e21 | + | 1.25799e22i | 0.201145 | + | 0.702389i | ||||
\(928\) | 3.52447e21 | + | 2.03052e20i | 0.195202 | + | 0.0112460i | ||||
\(929\) | 6.80029e20i | 0.0373603i | 0.999826 | + | 0.0186801i | \(0.00594642\pi\) | ||||
−0.999826 | + | 0.0186801i | \(0.994054\pi\) | |||||||
\(930\) | 1.36216e22 | + | 2.56628e21i | 0.742346 | + | 0.139856i | ||||
\(931\) | − | 4.47589e22i | − | 2.41967i | ||||||
\(932\) | 1.68953e21 | − | 2.21630e21i | 0.0906037 | − | 0.118853i | ||||
\(933\) | 1.34342e22 | − | 1.88569e21i | 0.714658 | − | 0.100313i | ||||
\(934\) | 1.39491e22 | + | 4.71052e21i | 0.736115 | + | 0.248581i | ||||
\(935\) | −7.92740e21 | −0.414996 | ||||||||
\(936\) | −2.66626e21 | − | 2.23710e21i | −0.138463 | − | 0.116176i | ||||
\(937\) | −2.56967e21 | −0.132382 | −0.0661912 | − | 0.997807i | \(-0.521085\pi\) | ||||
−0.0661912 | + | 0.997807i | \(0.521085\pi\) | |||||||
\(938\) | 3.48892e22 | + | 1.17818e22i | 1.78308 | + | 0.602132i | ||||
\(939\) | 1.52489e21 | − | 2.14042e20i | 0.0773120 | − | 0.0108519i | ||||
\(940\) | 9.99571e21 | − | 1.31123e22i | 0.502753 | − | 0.659506i | ||||
\(941\) | 2.47202e22i | 1.23347i | 0.787169 | + | 0.616737i | \(0.211546\pi\) | ||||
−0.787169 | + | 0.616737i | \(0.788454\pi\) | |||||||
\(942\) | −1.34030e22 | − | 2.52510e21i | −0.663470 | − | 0.124996i | ||||
\(943\) | 3.13571e22i | 1.53992i | ||||||||
\(944\) | 3.28386e20 | + | 1.19528e21i | 0.0159991 | + | 0.0582344i | ||||
\(945\) | −3.33739e22 | + | 1.48384e22i | −1.61312 | + | 0.717211i | ||||
\(946\) | 1.91584e21 | − | 5.67332e21i | 0.0918703 | − | 0.272053i | ||||
\(947\) | 2.05961e21 | 0.0979852 | 0.0489926 | − | 0.998799i | \(-0.484399\pi\) | ||||
0.0489926 | + | 0.998799i | \(0.484399\pi\) | |||||||
\(948\) | 9.49684e21 | − | 1.69033e22i | 0.448246 | − | 0.797826i | ||||
\(949\) | −1.34850e21 | −0.0631474 | ||||||||
\(950\) | −1.86839e20 | + | 5.53280e20i | −0.00868040 | + | 0.0257050i | ||||
\(951\) | 2.90075e21 | + | 2.06657e22i | 0.133708 | + | 0.952569i | ||||
\(952\) | 1.35723e22 | + | 2.01053e22i | 0.620691 | + | 0.919463i | ||||
\(953\) | − | 3.83537e22i | − | 1.74025i | −0.492833 | − | 0.870124i | \(-0.664039\pi\) | ||
0.492833 | − | 0.870124i | \(-0.335961\pi\) | |||||||
\(954\) | 1.59842e21 | − | 3.41582e22i | 0.0719579 | − | 1.53774i | ||||
\(955\) | 2.53606e22i | 1.13275i | ||||||||
\(956\) | −1.79111e20 | − | 1.36539e20i | −0.00793757 | − | 0.00605095i | ||||
\(957\) | 4.18505e20 | + | 2.98154e21i | 0.0184018 | + | 0.131100i | ||||
\(958\) | 3.57639e22 | + | 1.20772e22i | 1.56028 | + | 0.526897i | ||||
\(959\) | −4.60208e21 | −0.199212 | ||||||||
\(960\) | 2.23146e22 | + | 5.54985e21i | 0.958419 | + | 0.238367i | ||||
\(961\) | 9.73720e21 | 0.414962 | ||||||||
\(962\) | 7.20275e21 | + | 2.43232e21i | 0.304569 | + | 0.102851i | ||||
\(963\) | 1.16081e21 | − | 3.32424e20i | 0.0487039 | − | 0.0139475i | ||||
\(964\) | −1.45265e22 | − | 1.10738e22i | −0.604759 | − | 0.461018i | ||||
\(965\) | − | 3.08709e22i | − | 1.27525i | ||||||
\(966\) | 1.12648e22 | − | 5.97928e22i | 0.461738 | − | 2.45087i | ||||
\(967\) | − | 1.40018e22i | − | 0.569490i | −0.958603 | − | 0.284745i | \(-0.908091\pi\) | ||
0.958603 | − | 0.284745i | \(-0.0919089\pi\) | |||||||
\(968\) | −7.50807e21 | − | 1.11221e22i | −0.303014 | − | 0.448871i | ||||
\(969\) | −1.69158e22 | + | 2.37439e21i | −0.677430 | + | 0.0950877i | ||||
\(970\) | −9.09153e21 | + | 2.69225e22i | −0.361284 | + | 1.06986i | ||||
\(971\) | 6.81068e21 | 0.268563 | 0.134282 | − | 0.990943i | \(-0.457127\pi\) | ||||
0.134282 | + | 0.990943i | \(0.457127\pi\) | |||||||
\(972\) | 2.55293e22 | − | 1.17346e21i | 0.998945 | − | 0.0459168i | ||||
\(973\) | −7.16860e22 | −2.78348 | ||||||||
\(974\) | 1.38849e21 | − | 4.11170e21i | 0.0534997 | − | 0.158427i | ||||
\(975\) | −1.15226e20 | + | 1.61738e19i | −0.00440572 | + | 0.000618411i | ||||
\(976\) | −3.07479e21 | − | 1.11918e22i | −0.116665 | − | 0.424646i | ||||
\(977\) | 4.99334e22i | 1.88010i | 0.341033 | + | 0.940051i | \(0.389223\pi\) | ||||
−0.341033 | + | 0.940051i | \(0.610777\pi\) | |||||||
\(978\) | −2.99883e21 | + | 1.59176e22i | −0.112050 | + | 0.594752i | ||||
\(979\) | 2.31677e22i | 0.859040i | ||||||||
\(980\) | −3.57201e22 | + | 4.68572e22i | −1.31437 | + | 1.72417i | ||||
\(981\) | 1.17423e22 | − | 3.36268e21i | 0.428781 | − | 0.122791i | ||||
\(982\) | −4.20528e21 | − | 1.42009e21i | −0.152391 | − | 0.0514613i | ||||
\(983\) | 5.31239e21 | 0.191046 | 0.0955231 | − | 0.995427i | \(-0.469548\pi\) | ||||
0.0955231 | + | 0.995427i | \(0.469548\pi\) | |||||||
\(984\) | −2.29779e22 | + | 2.06980e22i | −0.820064 | + | 0.738694i | ||||
\(985\) | 1.19543e22 | 0.423400 | ||||||||
\(986\) | 3.27078e21 | + | 1.10452e21i | 0.114967 | + | 0.0388237i | ||||
\(987\) | −5.98089e21 | − | 4.26095e22i | −0.208635 | − | 1.48637i | ||||
\(988\) | 3.48881e21 | − | 4.57658e21i | 0.120781 | − | 0.158440i | ||||
\(989\) | 1.72221e22i | 0.591716i | ||||||||
\(990\) | −9.16660e20 | + | 1.95890e22i | −0.0312568 | + | 0.667956i | ||||
\(991\) | − | 6.64267e21i | − | 0.224797i | −0.993663 | − | 0.112399i | \(-0.964147\pi\) | ||
0.993663 | − | 0.112399i | \(-0.0358533\pi\) | |||||||
\(992\) | −2.27358e22 | − | 1.30985e21i | −0.763611 | − | 0.0439932i | ||||
\(993\) | −4.76281e21 | − | 3.39315e22i | −0.158761 | − | 1.13106i | ||||
\(994\) | −5.91927e20 | + | 1.75286e21i | −0.0195826 | + | 0.0579893i | ||||
\(995\) | 3.35447e21 | 0.110141 | ||||||||
\(996\) | 3.71394e21 | + | 2.08662e21i | 0.121029 | + | 0.0679983i | ||||
\(997\) | −2.20385e22 | −0.712801 | −0.356400 | − | 0.934333i | \(-0.615996\pi\) | ||||
−0.356400 | + | 0.934333i | \(0.615996\pi\) | |||||||
\(998\) | −1.49513e22 | + | 4.42747e22i | −0.479953 | + | 1.42127i | ||||
\(999\) | −5.10081e22 | + | 2.26787e22i | −1.62517 | + | 0.722565i |
(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 | 12.16.b.a.11.26 | yes | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.3 | ✓ | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.4 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.25 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.3 | ✓ | 28 | 3.2 | odd | 2 | inner | |
12.16.b.a.11.4 | yes | 28 | 4.3 | odd | 2 | inner | |
12.16.b.a.11.25 | yes | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.26 | yes | 28 | 1.1 | even | 1 | trivial |