Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.10.e.a.11.9 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −15.4630 | + | 19.3900i | −0.683374 | + | 0.856924i | −0.995660 | − | 0.0930643i | \(-0.970334\pi\) |
0.312286 | + | 0.949988i | \(0.398905\pi\) | |||||||
\(3\) | −85.3477 | − | 107.023i | −0.608340 | − | 0.762834i | 0.378312 | − | 0.925678i | \(-0.376505\pi\) |
−0.986652 | + | 0.162844i | \(0.947933\pi\) | |||||||
\(4\) | −22.9363 | − | 100.491i | −0.0447975 | − | 0.196271i | ||||
\(5\) | −767.251 | − | 369.489i | −0.549000 | − | 0.264385i | 0.138756 | − | 0.990327i | \(-0.455690\pi\) |
−0.687756 | + | 0.725942i | \(0.741404\pi\) | |||||||
\(6\) | 3394.90 | 1.06941 | ||||||||
\(7\) | −181.232 | −0.0285294 | −0.0142647 | − | 0.999898i | \(-0.504541\pi\) | ||||
−0.0142647 | + | 0.999898i | \(0.504541\pi\) | |||||||
\(8\) | −9137.29 | − | 4400.29i | −0.788701 | − | 0.379819i | ||||
\(9\) | 210.268 | − | 921.243i | 0.0106827 | − | 0.0468040i | ||||
\(10\) | 19028.4 | − | 9163.58i | 0.601730 | − | 0.289778i | ||||
\(11\) | 16914.7 | − | 74108.0i | 0.348334 | − | 1.52615i | −0.432627 | − | 0.901573i | \(-0.642413\pi\) |
0.780962 | − | 0.624579i | \(-0.214729\pi\) | |||||||
\(12\) | −8797.21 | + | 11031.4i | −0.122470 | + | 0.153572i | ||||
\(13\) | 95053.5 | + | 45775.3i | 0.923045 | + | 0.444515i | 0.834157 | − | 0.551527i | \(-0.185954\pi\) |
0.0888878 | + | 0.996042i | \(0.471669\pi\) | |||||||
\(14\) | 2802.38 | − | 3514.08i | 0.0194963 | − | 0.0244475i | ||||
\(15\) | 25939.5 | + | 113648.i | 0.132297 | + | 0.579632i | ||||
\(16\) | 274159. | − | 132028.i | 1.04583 | − | 0.503648i | ||||
\(17\) | −374184. | + | 180197.i | −1.08659 | + | 0.523273i | −0.889417 | − | 0.457097i | \(-0.848889\pi\) |
−0.197170 | + | 0.980369i | \(0.563175\pi\) | |||||||
\(18\) | 14611.5 | + | 18322.2i | 0.0328072 | + | 0.0411389i | ||||
\(19\) | 114037. | + | 499630.i | 0.200750 | + | 0.879543i | 0.970482 | + | 0.241175i | \(0.0775329\pi\) |
−0.769732 | + | 0.638368i | \(0.779610\pi\) | |||||||
\(20\) | −19532.2 | + | 85576.3i | −0.0272971 | + | 0.119597i | ||||
\(21\) | 15467.7 | + | 19395.9i | 0.0173556 | + | 0.0217632i | ||||
\(22\) | 1.17540e6 | + | 1.47391e6i | 1.06975 | + | 1.34143i | ||||
\(23\) | 428096. | − | 1.87561e6i | 0.318982 | − | 1.39755i | −0.520360 | − | 0.853947i | \(-0.674202\pi\) |
0.839342 | − | 0.543604i | \(-0.182941\pi\) | |||||||
\(24\) | 308916. | + | 1.35345e6i | 0.190060 | + | 0.832707i | ||||
\(25\) | −765601. | − | 960033.i | −0.391988 | − | 0.491537i | ||||
\(26\) | −2.35739e6 | + | 1.13526e6i | −1.01170 | + | 0.487209i | ||||
\(27\) | −2.54406e6 | + | 1.22516e6i | −0.921279 | + | 0.443664i | ||||
\(28\) | 4156.79 | + | 18212.1i | 0.00127805 | + | 0.00559949i | ||||
\(29\) | −1.40720e6 | + | 1.76457e6i | −0.369457 | + | 0.463285i | −0.931456 | − | 0.363853i | \(-0.881461\pi\) |
0.561999 | + | 0.827138i | \(0.310032\pi\) | |||||||
\(30\) | −2.60474e6 | − | 1.25438e6i | −0.587109 | − | 0.282737i | ||||
\(31\) | −4.51421e6 | + | 5.66064e6i | −0.877919 | + | 1.10088i | 0.116269 | + | 0.993218i | \(0.462906\pi\) |
−0.994188 | + | 0.107657i | \(0.965665\pi\) | |||||||
\(32\) | −523857. | + | 2.29517e6i | −0.0883156 | + | 0.386936i | ||||
\(33\) | −9.37485e6 | + | 4.51469e6i | −1.37611 | + | 0.662698i | ||||
\(34\) | 2.29197e6 | − | 1.00418e7i | 0.294140 | − | 1.28871i | ||||
\(35\) | 139050. | + | 66963.0i | 0.0156627 | + | 0.00754274i | ||||
\(36\) | −97399.0 | −0.00966481 | ||||||||
\(37\) | −1.99202e6 | −0.174738 | −0.0873688 | − | 0.996176i | \(-0.527846\pi\) | ||||
−0.0873688 | + | 0.996176i | \(0.527846\pi\) | |||||||
\(38\) | −1.14512e7 | − | 5.51459e6i | −0.890889 | − | 0.429029i | ||||
\(39\) | −3.21360e6 | − | 1.40797e7i | −0.222434 | − | 0.974546i | ||||
\(40\) | 5.38474e6 | + | 6.75225e6i | 0.332579 | + | 0.417041i | ||||
\(41\) | −1.20615e7 | + | 1.51246e7i | −0.666613 | + | 0.835906i | −0.994045 | − | 0.108968i | \(-0.965245\pi\) |
0.327432 | + | 0.944875i | \(0.393817\pi\) | |||||||
\(42\) | −615262. | −0.0305097 | ||||||||
\(43\) | 1.37755e7 | + | 1.76869e7i | 0.614470 | + | 0.788940i | ||||
\(44\) | −7.83512e6 | −0.315144 | ||||||||
\(45\) | −501717. | + | 629133.i | −0.0182391 | + | 0.0228711i | ||||
\(46\) | 2.97484e7 | + | 3.73033e7i | 0.979611 | + | 1.22839i | ||||
\(47\) | 7.88417e6 | + | 3.45428e7i | 0.235676 | + | 1.03256i | 0.944843 | + | 0.327524i | \(0.106214\pi\) |
−0.709167 | + | 0.705041i | \(0.750929\pi\) | |||||||
\(48\) | −3.75289e7 | − | 1.80730e7i | −1.02042 | − | 0.491409i | ||||
\(49\) | −4.03208e7 | −0.999186 | ||||||||
\(50\) | 3.04535e7 | 0.689084 | ||||||||
\(51\) | 5.12209e7 | + | 2.46667e7i | 1.06018 | + | 0.510558i | ||||
\(52\) | 2.41982e6 | − | 1.06019e7i | 0.0458952 | − | 0.201080i | ||||
\(53\) | 5.89451e7 | − | 2.83865e7i | 1.02614 | − | 0.494162i | 0.156410 | − | 0.987692i | \(-0.450008\pi\) |
0.869729 | + | 0.493530i | \(0.164294\pi\) | |||||||
\(54\) | 1.55831e7 | − | 6.82739e7i | 0.249391 | − | 1.09265i | ||||
\(55\) | −4.03599e7 | + | 5.06097e7i | −0.594727 | + | 0.745764i | ||||
\(56\) | 1.65597e6 | + | 797471.i | 0.0225012 | + | 0.0108360i | ||||
\(57\) | 4.37389e7 | − | 5.48468e7i | 0.548821 | − | 0.688200i | ||||
\(58\) | −1.24555e7 | − | 5.45711e7i | −0.144522 | − | 0.633193i | ||||
\(59\) | 5.08501e7 | − | 2.44881e7i | 0.546333 | − | 0.263100i | −0.140294 | − | 0.990110i | \(-0.544805\pi\) |
0.686627 | + | 0.727010i | \(0.259090\pi\) | |||||||
\(60\) | 1.08256e7 | − | 5.21335e6i | 0.107838 | − | 0.0519321i | ||||
\(61\) | 1.07270e8 | + | 1.34512e8i | 0.991957 | + | 1.24387i | 0.969745 | + | 0.244122i | \(0.0784996\pi\) |
0.0222126 | + | 0.999753i | \(0.492929\pi\) | |||||||
\(62\) | −3.99565e7 | − | 1.75061e8i | −0.343419 | − | 1.50462i | ||||
\(63\) | −38107.1 | + | 166958.i | −0.000304771 | + | 0.00133529i | ||||
\(64\) | 6.07360e7 | + | 7.61605e7i | 0.452518 | + | 0.567440i | ||||
\(65\) | −5.60164e7 | − | 7.02424e7i | −0.389229 | − | 0.488078i | ||||
\(66\) | 5.74235e7 | − | 2.51589e8i | 0.372513 | − | 1.63209i | ||||
\(67\) | −4.98143e7 | − | 2.18251e8i | −0.302007 | − | 1.32318i | −0.867092 | − | 0.498147i | \(-0.834014\pi\) |
0.565085 | − | 0.825032i | \(-0.308843\pi\) | |||||||
\(68\) | 2.66905e7 | + | 3.34689e7i | 0.151380 | + | 0.189824i | ||||
\(69\) | −2.37270e8 | + | 1.14263e8i | −1.26015 | + | 0.606855i | ||||
\(70\) | −3.44854e6 | + | 1.66073e6i | −0.0171670 | + | 0.00826719i | ||||
\(71\) | 4.87056e7 | + | 2.13393e8i | 0.227466 | + | 0.996594i | 0.951698 | + | 0.307037i | \(0.0993375\pi\) |
−0.724232 | + | 0.689557i | \(0.757805\pi\) | |||||||
\(72\) | −5.97501e6 | + | 7.49242e6i | −0.0262025 | + | 0.0328569i | ||||
\(73\) | −2.71786e8 | − | 1.30885e8i | −1.12014 | − | 0.539433i | −0.220208 | − | 0.975453i | \(-0.570673\pi\) |
−0.899937 | + | 0.436020i | \(0.856388\pi\) | |||||||
\(74\) | 3.08026e7 | − | 3.86252e7i | 0.119411 | − | 0.149737i | ||||
\(75\) | −3.74030e7 | + | 1.63873e8i | −0.136499 | + | 0.598043i | ||||
\(76\) | 4.75925e7 | − | 2.29194e7i | 0.163636 | − | 0.0788027i | ||||
\(77\) | −3.06547e6 | + | 1.34307e7i | −0.00993777 | + | 0.0435402i | ||||
\(78\) | 3.22697e8 | + | 1.55403e8i | 0.987117 | + | 0.475371i | ||||
\(79\) | 3.35322e8 | 0.968591 | 0.484296 | − | 0.874904i | \(-0.339076\pi\) | ||||
0.484296 | + | 0.874904i | \(0.339076\pi\) | |||||||
\(80\) | −2.59132e8 | −0.707321 | ||||||||
\(81\) | 3.31492e8 | + | 1.59638e8i | 0.855639 | + | 0.412054i | ||||
\(82\) | −1.06760e8 | − | 4.67744e8i | −0.260762 | − | 1.14247i | ||||
\(83\) | −2.01111e8 | − | 2.52186e8i | −0.465141 | − | 0.583269i | 0.492833 | − | 0.870124i | \(-0.335962\pi\) |
−0.957974 | + | 0.286855i | \(0.907390\pi\) | |||||||
\(84\) | 1.59433e6 | − | 1.99923e6i | 0.00349399 | − | 0.00438133i | ||||
\(85\) | 3.53674e8 | 0.734882 | ||||||||
\(86\) | −5.55960e8 | − | 6.38497e6i | −1.09597 | − | 0.0125868i | ||||
\(87\) | 3.08950e8 | 0.578165 | ||||||||
\(88\) | −4.80651e8 | + | 6.02717e8i | −0.854392 | + | 1.07137i | ||||
\(89\) | 4.81210e8 | + | 6.03418e8i | 0.812979 | + | 1.01944i | 0.999317 | + | 0.0369576i | \(0.0117666\pi\) |
−0.186338 | + | 0.982486i | \(0.559662\pi\) | |||||||
\(90\) | −4.44083e6 | − | 1.94566e7i | −0.00713466 | − | 0.0312590i | ||||
\(91\) | −1.72267e7 | − | 8.29594e6i | −0.0263339 | − | 0.0126818i | ||||
\(92\) | −1.98300e8 | −0.288588 | ||||||||
\(93\) | 9.91094e8 | 1.37386 | ||||||||
\(94\) | −7.91697e8 | − | 3.81261e8i | −1.04588 | − | 0.503671i | ||||
\(95\) | 9.71124e7 | − | 4.25477e8i | 0.122326 | − | 0.535945i | ||||
\(96\) | 2.90345e8 | − | 1.39823e8i | 0.348894 | − | 0.168018i | ||||
\(97\) | −3.49269e8 | + | 1.53025e9i | −0.400578 | + | 1.75505i | 0.224491 | + | 0.974476i | \(0.427928\pi\) |
−0.625068 | + | 0.780570i | \(0.714929\pi\) | |||||||
\(98\) | 6.23479e8 | − | 7.81818e8i | 0.682818 | − | 0.856226i | ||||
\(99\) | −6.47148e7 | − | 3.11650e7i | −0.0677088 | − | 0.0326068i | ||||
\(100\) | −7.89143e7 | + | 9.89554e7i | −0.0789143 | + | 0.0989554i | ||||
\(101\) | 7.37079e7 | + | 3.22935e8i | 0.0704803 | + | 0.308794i | 0.997865 | − | 0.0653156i | \(-0.0208054\pi\) |
−0.927384 | + | 0.374110i | \(0.877948\pi\) | |||||||
\(102\) | −1.27031e9 | + | 6.11751e8i | −1.16201 | + | 0.559595i | ||||
\(103\) | −7.79824e8 | + | 3.75544e8i | −0.682699 | + | 0.328770i | −0.742887 | − | 0.669417i | \(-0.766544\pi\) |
0.0601883 | + | 0.998187i | \(0.480830\pi\) | |||||||
\(104\) | −6.67107e8 | − | 8.36525e8i | −0.559172 | − | 0.701179i | ||||
\(105\) | −4.70105e6 | − | 2.05967e7i | −0.00377436 | − | 0.0165365i | ||||
\(106\) | −3.61054e8 | + | 1.58188e9i | −0.277777 | + | 1.21702i | ||||
\(107\) | 1.89329e8 | + | 2.37412e8i | 0.139634 | + | 0.175095i | 0.846731 | − | 0.532021i | \(-0.178567\pi\) |
−0.707097 | + | 0.707116i | \(0.749996\pi\) | |||||||
\(108\) | 1.81468e8 | + | 2.27554e8i | 0.128349 | + | 0.160945i | ||||
\(109\) | 3.94067e8 | − | 1.72652e9i | 0.267393 | − | 1.17153i | −0.645640 | − | 0.763642i | \(-0.723409\pi\) |
0.913033 | − | 0.407885i | \(-0.133734\pi\) | |||||||
\(110\) | −3.57236e8 | − | 1.56515e9i | −0.232642 | − | 1.01927i | ||||
\(111\) | 1.70014e8 | + | 2.13191e8i | 0.106300 | + | 0.133296i | ||||
\(112\) | −4.96863e7 | + | 2.39277e7i | −0.0298370 | + | 0.0143688i | ||||
\(113\) | 2.57627e8 | − | 1.24067e8i | 0.148641 | − | 0.0715818i | −0.358084 | − | 0.933689i | \(-0.616570\pi\) |
0.506726 | + | 0.862107i | \(0.330856\pi\) | |||||||
\(114\) | 3.87144e8 | + | 1.69619e9i | 0.214685 | + | 0.940595i | ||||
\(115\) | −1.02147e9 | + | 1.28089e9i | −0.544612 | + | 0.682922i | ||||
\(116\) | 2.09599e8 | + | 1.00937e8i | 0.107480 | + | 0.0517597i | ||||
\(117\) | 6.21569e7 | − | 7.79422e7i | 0.0306657 | − | 0.0384536i | ||||
\(118\) | −3.11470e8 | + | 1.36464e9i | −0.147893 | + | 0.647962i | ||||
\(119\) | 6.78139e7 | − | 3.26574e7i | 0.0309997 | − | 0.0149287i | ||||
\(120\) | 2.63069e8 | − | 1.15258e9i | 0.115812 | − | 0.507405i | ||||
\(121\) | −3.08145e9 | − | 1.48395e9i | −1.30683 | − | 0.629338i | ||||
\(122\) | −4.26689e9 | −1.74378 | ||||||||
\(123\) | 2.64810e9 | 1.04318 | ||||||||
\(124\) | 6.72381e8 | + | 3.23802e8i | 0.255398 | + | 0.122993i | ||||
\(125\) | 6.02795e8 | + | 2.64102e9i | 0.220838 | + | 0.967556i | ||||
\(126\) | −2.64807e6 | − | 3.32057e6i | −0.000935969 | − | 0.00117367i | ||||
\(127\) | −1.62043e9 | + | 2.03196e9i | −0.552731 | + | 0.693103i | −0.977195 | − | 0.212342i | \(-0.931891\pi\) |
0.424464 | + | 0.905445i | \(0.360462\pi\) | |||||||
\(128\) | −3.62125e9 | −1.19238 | ||||||||
\(129\) | 7.17188e8 | − | 2.98383e9i | 0.228023 | − | 0.948682i | ||||
\(130\) | 2.22818e9 | 0.684235 | ||||||||
\(131\) | 1.60881e9 | − | 2.01738e9i | 0.477290 | − | 0.598503i | −0.483649 | − | 0.875262i | \(-0.660689\pi\) |
0.960939 | + | 0.276759i | \(0.0892603\pi\) | |||||||
\(132\) | 6.68709e8 | + | 8.38535e8i | 0.191714 | + | 0.240402i | ||||
\(133\) | −2.06671e7 | − | 9.05487e7i | −0.00572728 | − | 0.0250928i | ||||
\(134\) | 5.00215e9 | + | 2.40891e9i | 1.34025 | + | 0.645429i | ||||
\(135\) | 2.40462e9 | 0.623080 | ||||||||
\(136\) | 4.21194e9 | 1.05574 | ||||||||
\(137\) | −4.50899e9 | − | 2.17142e9i | −1.09355 | − | 0.526624i | −0.201922 | − | 0.979402i | \(-0.564719\pi\) |
−0.891623 | + | 0.452778i | \(0.850433\pi\) | |||||||
\(138\) | 1.45334e9 | − | 6.36751e9i | 0.341124 | − | 1.49456i | ||||
\(139\) | −9.14543e8 | + | 4.40421e8i | −0.207796 | + | 0.100069i | −0.534887 | − | 0.844923i | \(-0.679646\pi\) |
0.327091 | + | 0.944993i | \(0.393932\pi\) | |||||||
\(140\) | 3.53986e6 | − | 1.55091e7i | 0.000778771 | − | 0.00341202i | ||||
\(141\) | 3.02397e9 | − | 3.79193e9i | 0.644304 | − | 0.807932i | ||||
\(142\) | −4.89082e9 | − | 2.35530e9i | −1.00945 | − | 0.486125i | ||||
\(143\) | 5.00011e9 | − | 6.26995e9i | 0.999926 | − | 1.25387i | ||||
\(144\) | −6.39832e7 | − | 2.80329e8i | −0.0124004 | − | 0.0543295i | ||||
\(145\) | 1.73166e9 | − | 8.33925e8i | 0.325318 | − | 0.156665i | ||||
\(146\) | 6.74048e9 | − | 3.24605e9i | 1.22773 | − | 0.591244i | ||||
\(147\) | 3.44128e9 | + | 4.31523e9i | 0.607844 | + | 0.762213i | ||||
\(148\) | 4.56897e7 | + | 2.00180e8i | 0.00782781 | + | 0.0342959i | ||||
\(149\) | −4.09705e8 | + | 1.79503e9i | −0.0680978 | + | 0.298356i | −0.997496 | − | 0.0707226i | \(-0.977469\pi\) |
0.929398 | + | 0.369078i | \(0.120327\pi\) | |||||||
\(150\) | −2.59913e9 | − | 3.25921e9i | −0.419197 | − | 0.525656i | ||||
\(151\) | 5.70694e9 | + | 7.15628e9i | 0.893320 | + | 1.12019i | 0.992146 | + | 0.125083i | \(0.0399199\pi\) |
−0.0988259 | + | 0.995105i | \(0.531509\pi\) | |||||||
\(152\) | 1.15652e9 | − | 5.06706e9i | 0.175735 | − | 0.769945i | ||||
\(153\) | 8.73267e7 | + | 3.82603e8i | 0.0128836 | + | 0.0564465i | ||||
\(154\) | −2.13020e8 | − | 2.67118e8i | −0.0305194 | − | 0.0382702i | ||||
\(155\) | 5.55508e9 | − | 2.67519e9i | 0.773032 | − | 0.372273i | ||||
\(156\) | −1.34117e9 | + | 6.45873e8i | −0.181310 | + | 0.0873145i | ||||
\(157\) | 5.91672e8 | + | 2.59228e9i | 0.0777200 | + | 0.340513i | 0.998806 | − | 0.0488448i | \(-0.0155540\pi\) |
−0.921086 | + | 0.389358i | \(0.872697\pi\) | |||||||
\(158\) | −5.18508e9 | + | 6.50189e9i | −0.661910 | + | 0.830009i | ||||
\(159\) | −8.06882e9 | − | 3.88574e9i | −1.00120 | − | 0.482155i | ||||
\(160\) | 1.24997e9 | − | 1.56741e9i | 0.150785 | − | 0.189079i | ||||
\(161\) | −7.75845e7 | + | 3.39920e8i | −0.00910036 | + | 0.0398713i | ||||
\(162\) | −8.22124e9 | + | 3.95914e9i | −0.937820 | + | 0.451630i | ||||
\(163\) | −3.57627e9 | + | 1.56687e10i | −0.396813 | + | 1.73855i | 0.243006 | + | 0.970025i | \(0.421867\pi\) |
−0.639819 | + | 0.768526i | \(0.720991\pi\) | |||||||
\(164\) | 1.79653e9 | + | 8.65164e8i | 0.193927 | + | 0.0933901i | ||||
\(165\) | 8.86100e9 | 0.930690 | ||||||||
\(166\) | 7.99965e9 | 0.817682 | ||||||||
\(167\) | 1.95401e9 | + | 9.41000e8i | 0.194403 | + | 0.0936194i | 0.528553 | − | 0.848901i | \(-0.322735\pi\) |
−0.334150 | + | 0.942520i | \(0.608449\pi\) | |||||||
\(168\) | −5.59854e7 | − | 2.45288e8i | −0.00542229 | − | 0.0237566i | ||||
\(169\) | 3.27985e8 | + | 4.11281e8i | 0.0309289 | + | 0.0387836i | ||||
\(170\) | −5.46885e9 | + | 6.85772e9i | −0.502199 | + | 0.629738i | ||||
\(171\) | 4.84259e8 | 0.0433107 | ||||||||
\(172\) | 1.46141e9 | − | 1.78999e9i | 0.127319 | − | 0.155945i | ||||
\(173\) | −1.14825e10 | −0.974607 | −0.487304 | − | 0.873233i | \(-0.662019\pi\) | ||||
−0.487304 | + | 0.873233i | \(0.662019\pi\) | |||||||
\(174\) | −4.77729e9 | + | 5.99053e9i | −0.395103 | + | 0.495443i | ||||
\(175\) | 1.38751e8 | + | 1.73988e8i | 0.0111832 | + | 0.0140233i | ||||
\(176\) | −5.14703e9 | − | 2.25506e10i | −0.404343 | − | 1.77154i | ||||
\(177\) | −6.96072e9 | − | 3.35211e9i | −0.533058 | − | 0.256707i | ||||
\(178\) | −1.91412e10 | −1.42915 | ||||||||
\(179\) | 8.48978e7 | 0.00618099 | 0.00309049 | − | 0.999995i | \(-0.499016\pi\) | ||||
0.00309049 | + | 0.999995i | \(0.499016\pi\) | |||||||
\(180\) | 7.47295e7 | + | 3.59879e7i | 0.00530599 | + | 0.00255523i | ||||
\(181\) | 5.71786e8 | − | 2.50516e9i | 0.0395986 | − | 0.173493i | −0.951262 | − | 0.308385i | \(-0.900212\pi\) |
0.990860 | + | 0.134892i | \(0.0430687\pi\) | |||||||
\(182\) | 4.27234e8 | − | 2.05745e8i | 0.0288632 | − | 0.0138998i | ||||
\(183\) | 5.24060e9 | − | 2.29606e10i | 0.345423 | − | 1.51340i | ||||
\(184\) | −1.21649e10 | + | 1.52543e10i | −0.782397 | + | 0.981095i | ||||
\(185\) | 1.52838e9 | + | 7.36030e8i | 0.0959310 | + | 0.0461979i | ||||
\(186\) | −1.53253e10 | + | 1.92173e10i | −0.938858 | + | 1.17729i | ||||
\(187\) | 7.02487e9 | + | 3.07780e10i | 0.420098 | + | 1.84057i | ||||
\(188\) | 3.29040e9 | − | 1.58457e9i | 0.192105 | − | 0.0925127i | ||||
\(189\) | 4.61065e8 | − | 2.22037e8i | 0.0262835 | − | 0.0126575i | ||||
\(190\) | 6.74834e9 | + | 8.46215e9i | 0.375669 | + | 0.471075i | ||||
\(191\) | −1.01891e9 | − | 4.46412e9i | −0.0553967 | − | 0.242709i | 0.939647 | − | 0.342145i | \(-0.111153\pi\) |
−0.995044 | + | 0.0994359i | \(0.968296\pi\) | |||||||
\(192\) | 2.96722e9 | − | 1.30002e10i | 0.157578 | − | 0.690392i | ||||
\(193\) | −8.82382e9 | − | 1.10647e10i | −0.457772 | − | 0.574027i | 0.498358 | − | 0.866971i | \(-0.333937\pi\) |
−0.956130 | + | 0.292944i | \(0.905365\pi\) | |||||||
\(194\) | −2.42707e10 | − | 3.04345e10i | −1.23020 | − | 1.54262i | ||||
\(195\) | −2.73665e9 | + | 1.19901e10i | −0.135539 | + | 0.593834i | ||||
\(196\) | 9.24811e8 | + | 4.05186e9i | 0.0447611 | + | 0.196111i | ||||
\(197\) | 7.10689e9 | + | 8.91175e9i | 0.336187 | + | 0.421566i | 0.920976 | − | 0.389620i | \(-0.127394\pi\) |
−0.584788 | + | 0.811186i | \(0.698822\pi\) | |||||||
\(198\) | 1.60497e9 | − | 7.72914e8i | 0.0742120 | − | 0.0357386i | ||||
\(199\) | −7.46203e9 | + | 3.59353e9i | −0.337302 | + | 0.162436i | −0.594865 | − | 0.803825i | \(-0.702795\pi\) |
0.257564 | + | 0.966261i | \(0.417080\pi\) | |||||||
\(200\) | 2.77110e9 | + | 1.21410e10i | 0.122466 | + | 0.536560i | ||||
\(201\) | −1.91062e10 | + | 2.39584e10i | −0.825643 | + | 1.03532i | ||||
\(202\) | −7.40145e9 | − | 3.56435e9i | −0.312778 | − | 0.150626i | ||||
\(203\) | 2.55029e8 | − | 3.19796e8i | 0.0105404 | − | 0.0132172i | ||||
\(204\) | 1.30395e9 | − | 5.71298e9i | 0.0527139 | − | 0.230955i | ||||
\(205\) | 1.48426e10 | − | 7.14781e9i | 0.586972 | − | 0.282671i | ||||
\(206\) | 4.77663e9 | − | 2.09278e10i | 0.184807 | − | 0.809694i | ||||
\(207\) | −1.63788e9 | − | 7.88761e8i | −0.0620033 | − | 0.0298592i | ||||
\(208\) | 3.21034e10 | 1.18923 | ||||||||
\(209\) | 3.89554e10 | 1.41224 | ||||||||
\(210\) | 4.72061e8 | + | 2.27333e8i | 0.0167499 | + | 0.00806631i | ||||
\(211\) | 9.80007e9 | + | 4.29369e10i | 0.340375 | + | 1.49128i | 0.798283 | + | 0.602282i | \(0.205742\pi\) |
−0.457908 | + | 0.889000i | \(0.651401\pi\) | |||||||
\(212\) | −4.20456e9 | − | 5.27235e9i | −0.142958 | − | 0.179264i | ||||
\(213\) | 1.86810e10 | − | 2.34252e10i | 0.621859 | − | 0.779786i | ||||
\(214\) | −7.53100e9 | −0.245466 | ||||||||
\(215\) | −4.03419e9 | − | 1.86602e10i | −0.128761 | − | 0.595585i | ||||
\(216\) | 2.86369e10 | 0.895126 | ||||||||
\(217\) | 8.18118e8 | − | 1.02589e9i | 0.0250465 | − | 0.0314073i | ||||
\(218\) | 2.73837e10 | + | 3.43381e10i | 0.821180 | + | 1.02973i | ||||
\(219\) | 9.18862e9 | + | 4.02580e10i | 0.269930 | + | 1.18264i | ||||
\(220\) | 6.01151e9 | + | 2.89499e9i | 0.173014 | + | 0.0833191i | ||||
\(221\) | −4.38160e10 | −1.23557 | ||||||||
\(222\) | −6.76270e9 | −0.186867 | ||||||||
\(223\) | 1.27191e10 | + | 6.12519e9i | 0.344417 | + | 0.165862i | 0.598093 | − | 0.801427i | \(-0.295925\pi\) |
−0.253676 | + | 0.967289i | \(0.581640\pi\) | |||||||
\(224\) | 9.49394e7 | − | 4.15956e8i | 0.00251959 | − | 0.0110391i | ||||
\(225\) | −1.04540e9 | + | 5.03440e8i | −0.0271934 | + | 0.0130956i | ||||
\(226\) | −1.57804e9 | + | 6.91383e9i | −0.0402373 | + | 0.176291i | ||||
\(227\) | −2.98266e10 | + | 3.74013e10i | −0.745567 | + | 0.934912i | −0.999478 | − | 0.0323160i | \(-0.989712\pi\) |
0.253911 | + | 0.967228i | \(0.418283\pi\) | |||||||
\(228\) | −6.51480e9 | − | 3.13736e9i | −0.159659 | − | 0.0768879i | ||||
\(229\) | 2.82300e10 | − | 3.53993e10i | 0.678345 | − | 0.850618i | −0.316855 | − | 0.948474i | \(-0.602627\pi\) |
0.995201 | + | 0.0978560i | \(0.0311985\pi\) | |||||||
\(230\) | −9.04135e9 | − | 3.96127e10i | −0.213038 | − | 0.933382i | ||||
\(231\) | 1.69902e9 | − | 8.18205e8i | 0.0392595 | − | 0.0189064i | ||||
\(232\) | 2.06226e10 | − | 9.93132e9i | 0.467356 | − | 0.225067i | ||||
\(233\) | −5.03251e10 | − | 6.31057e10i | −1.11862 | − | 1.40271i | −0.904802 | − | 0.425833i | \(-0.859981\pi\) |
−0.213819 | − | 0.976873i | \(-0.568590\pi\) | |||||||
\(234\) | 5.50167e8 | + | 2.41044e9i | 0.0119956 | + | 0.0525563i | ||||
\(235\) | 6.71404e9 | − | 2.94161e10i | 0.143608 | − | 0.629188i | ||||
\(236\) | −3.62714e9 | − | 4.54829e9i | −0.0761133 | − | 0.0954430i | ||||
\(237\) | −2.86190e10 | − | 3.58871e10i | −0.589232 | − | 0.738874i | ||||
\(238\) | −4.15378e8 | + | 1.81989e9i | −0.00839165 | + | 0.0367662i | ||||
\(239\) | −8.62562e9 | − | 3.77913e10i | −0.171001 | − | 0.749206i | −0.985588 | − | 0.169164i | \(-0.945893\pi\) |
0.814586 | − | 0.580042i | \(-0.196964\pi\) | |||||||
\(240\) | 2.21163e10 | + | 2.77330e10i | 0.430291 | + | 0.539568i | ||||
\(241\) | 6.63642e10 | − | 3.19593e10i | 1.26723 | − | 0.610268i | 0.325156 | − | 0.945660i | \(-0.394583\pi\) |
0.942079 | + | 0.335392i | \(0.108869\pi\) | |||||||
\(242\) | 7.64221e10 | − | 3.68029e10i | 1.43235 | − | 0.689784i | ||||
\(243\) | 1.16027e9 | + | 5.08346e9i | 0.0213466 | + | 0.0935257i | ||||
\(244\) | 1.10568e10 | − | 1.38648e10i | 0.199699 | − | 0.250415i | ||||
\(245\) | 3.09362e10 | + | 1.48981e10i | 0.548554 | + | 0.264169i | ||||
\(246\) | −4.09475e10 | + | 5.13466e10i | −0.712885 | + | 0.893930i | ||||
\(247\) | −1.20311e10 | + | 5.27116e10i | −0.205669 | + | 0.901094i | ||||
\(248\) | 6.61561e10 | − | 3.18591e10i | 1.11055 | − | 0.534812i | ||||
\(249\) | −9.82517e9 | + | 4.30469e10i | −0.161973 | + | 0.709651i | ||||
\(250\) | −6.05303e10 | − | 2.91498e10i | −0.980037 | − | 0.471961i | ||||
\(251\) | −7.88661e10 | −1.25418 | −0.627089 | − | 0.778948i | \(-0.715754\pi\) | ||||
−0.627089 | + | 0.778948i | \(0.715754\pi\) | |||||||
\(252\) | 1.76518e7 | 0.000275731 | ||||||||
\(253\) | −1.31757e11 | − | 6.34507e10i | −2.02176 | − | 0.973630i | ||||
\(254\) | −1.43429e10 | − | 6.28402e10i | −0.216214 | − | 0.947297i | ||||
\(255\) | −3.01852e10 | − | 3.78511e10i | −0.447058 | − | 0.560593i | ||||
\(256\) | 2.48986e10 | − | 3.12218e10i | 0.362322 | − | 0.454338i | ||||
\(257\) | 2.74873e10 | 0.393036 | 0.196518 | − | 0.980500i | \(-0.437037\pi\) | ||||
0.196518 | + | 0.980500i | \(0.437037\pi\) | |||||||
\(258\) | 4.67665e10 | + | 6.00452e10i | 0.657123 | + | 0.843703i | ||||
\(259\) | 3.61017e8 | 0.00498516 | ||||||||
\(260\) | −5.77389e9 | + | 7.24023e9i | −0.0783590 | + | 0.0982590i | ||||
\(261\) | 1.32971e9 | + | 1.66740e9i | 0.0177368 | + | 0.0222412i | ||||
\(262\) | 1.42400e10 | + | 6.23894e10i | 0.186704 | + | 0.818003i | ||||
\(263\) | 2.68253e10 | + | 1.29184e10i | 0.345736 | + | 0.166498i | 0.598690 | − | 0.800981i | \(-0.295688\pi\) |
−0.252955 | + | 0.967478i | \(0.581402\pi\) | |||||||
\(264\) | 1.05527e11 | 1.33704 | ||||||||
\(265\) | −5.57142e10 | −0.694000 | ||||||||
\(266\) | 2.07531e9 | + | 9.99418e8i | 0.0254165 | + | 0.0122400i | ||||
\(267\) | 2.35092e10 | − | 1.03001e11i | 0.283098 | − | 1.24034i | ||||
\(268\) | −2.07896e10 | + | 1.00117e10i | −0.246172 | + | 0.118550i | ||||
\(269\) | −1.57604e10 | + | 6.90510e10i | −0.183520 | + | 0.804053i | 0.796418 | + | 0.604747i | \(0.206726\pi\) |
−0.979937 | + | 0.199306i | \(0.936131\pi\) | |||||||
\(270\) | −3.71826e10 | + | 4.66255e10i | −0.425797 | + | 0.533932i | ||||
\(271\) | 5.93705e10 | + | 2.85913e10i | 0.668665 | + | 0.322012i | 0.737237 | − | 0.675634i | \(-0.236130\pi\) |
−0.0685719 | + | 0.997646i | \(0.521844\pi\) | |||||||
\(272\) | −7.87948e10 | + | 9.88055e10i | −0.872846 | + | 1.09451i | ||||
\(273\) | 5.82405e8 | + | 2.55168e9i | 0.00634590 | + | 0.0278032i | ||||
\(274\) | 1.11826e11 | − | 5.38526e10i | 1.19858 | − | 0.577204i | ||||
\(275\) | −8.40960e10 | + | 4.04985e10i | −0.886703 | + | 0.427014i | ||||
\(276\) | 1.69245e10 | + | 2.12226e10i | 0.175560 | + | 0.220145i | ||||
\(277\) | −1.24598e10 | − | 5.45902e10i | −0.127161 | − | 0.557129i | −0.997864 | − | 0.0653201i | \(-0.979193\pi\) |
0.870703 | − | 0.491808i | \(-0.163664\pi\) | |||||||
\(278\) | 5.60182e9 | − | 2.45432e10i | 0.0562507 | − | 0.246450i | ||||
\(279\) | 4.26563e9 | + | 5.34893e9i | 0.0421468 | + | 0.0528504i | ||||
\(280\) | −9.75886e8 | − | 1.22372e9i | −0.00948829 | − | 0.0118979i | ||||
\(281\) | −4.46399e9 | + | 1.95580e10i | −0.0427115 | + | 0.187131i | −0.991783 | − | 0.127928i | \(-0.959167\pi\) |
0.949072 | + | 0.315059i | \(0.102024\pi\) | |||||||
\(282\) | 2.67659e10 | + | 1.17269e11i | 0.252035 | + | 1.10424i | ||||
\(283\) | −1.84536e10 | − | 2.31401e10i | −0.171018 | − | 0.214450i | 0.688935 | − | 0.724823i | \(-0.258079\pi\) |
−0.859953 | + | 0.510373i | \(0.829507\pi\) | |||||||
\(284\) | 2.03269e10 | − | 9.78892e9i | 0.185412 | − | 0.0892899i | ||||
\(285\) | −5.38240e10 | + | 2.59203e10i | −0.483252 | + | 0.232722i | ||||
\(286\) | 4.42574e10 | + | 1.93904e11i | 0.391146 | + | 1.71372i | ||||
\(287\) | 2.18592e9 | − | 2.74106e9i | 0.0190181 | − | 0.0238479i | ||||
\(288\) | 2.00425e9 | + | 9.65198e8i | 0.0171667 | + | 0.00826704i | ||||
\(289\) | 3.36039e10 | − | 4.21380e10i | 0.283367 | − | 0.355331i | ||||
\(290\) | −1.06069e10 | + | 4.64719e10i | −0.0880638 | + | 0.385833i | ||||
\(291\) | 1.93580e11 | − | 9.32233e10i | 1.58250 | − | 0.762090i | ||||
\(292\) | −6.91897e9 | + | 3.03140e10i | −0.0556953 | + | 0.244017i | ||||
\(293\) | −1.32926e11 | − | 6.40136e10i | −1.05367 | − | 0.507420i | −0.174860 | − | 0.984593i | \(-0.555947\pi\) |
−0.878809 | + | 0.477173i | \(0.841662\pi\) | |||||||
\(294\) | −1.36885e11 | −1.06854 | ||||||||
\(295\) | −4.80629e10 | −0.369497 | ||||||||
\(296\) | 1.82017e10 | + | 8.76547e9i | 0.137816 | + | 0.0663686i | ||||
\(297\) | 4.77619e10 | + | 2.09258e11i | 0.356186 | + | 1.56055i | ||||
\(298\) | −2.84704e10 | − | 3.57008e10i | −0.209132 | − | 0.262243i | ||||
\(299\) | 1.26549e11 | − | 1.58687e11i | 0.915667 | − | 1.14821i | ||||
\(300\) | 1.73256e10 | 0.123493 | ||||||||
\(301\) | −2.49656e9 | − | 3.20543e9i | −0.0175305 | − | 0.0225080i | ||||
\(302\) | −2.27006e11 | −1.57039 | ||||||||
\(303\) | 2.82706e10 | − | 3.54502e10i | 0.192683 | − | 0.241617i | ||||
\(304\) | 9.72296e10 | + | 1.21922e11i | 0.652931 | + | 0.818750i | ||||
\(305\) | −3.26022e10 | − | 1.42839e11i | −0.215723 | − | 0.945146i | ||||
\(306\) | −8.76900e9 | − | 4.22293e9i | −0.0571747 | − | 0.0275339i | ||||
\(307\) | −1.82488e11 | −1.17249 | −0.586247 | − | 0.810132i | \(-0.699395\pi\) | ||||
−0.586247 | + | 0.810132i | \(0.699395\pi\) | |||||||
\(308\) | 1.41997e9 | 0.00899086 | ||||||||
\(309\) | 1.06748e11 | + | 5.14071e10i | 0.666110 | + | 0.320782i | ||||
\(310\) | −3.40264e10 | + | 1.49079e11i | −0.209261 | + | 0.916831i | ||||
\(311\) | −1.06027e11 | + | 5.10600e10i | −0.642681 | + | 0.309499i | −0.726689 | − | 0.686966i | \(-0.758942\pi\) |
0.0840085 | + | 0.996465i | \(0.473228\pi\) | |||||||
\(312\) | −3.25911e10 | + | 1.42791e11i | −0.194717 | + | 0.853110i | ||||
\(313\) | 7.39750e10 | − | 9.27618e10i | 0.435648 | − | 0.546285i | −0.514742 | − | 0.857345i | \(-0.672112\pi\) |
0.950390 | + | 0.311060i | \(0.100684\pi\) | |||||||
\(314\) | −5.94133e10 | − | 2.86120e10i | −0.344906 | − | 0.166098i | ||||
\(315\) | 9.09270e7 | − | 1.14019e8i | 0.000520350 | − | 0.000652498i | ||||
\(316\) | −7.69106e9 | − | 3.36968e10i | −0.0433905 | − | 0.190106i | ||||
\(317\) | −9.79988e10 | + | 4.71937e10i | −0.545072 | + | 0.262493i | −0.686093 | − | 0.727514i | \(-0.740676\pi\) |
0.141021 | + | 0.990007i | \(0.454961\pi\) | |||||||
\(318\) | 2.00112e11 | − | 9.63690e10i | 1.09737 | − | 0.528464i | ||||
\(319\) | 1.06966e11 | + | 1.34132e11i | 0.578348 | + | 0.725226i | ||||
\(320\) | −1.84593e10 | − | 8.08755e10i | −0.0984103 | − | 0.431164i | ||||
\(321\) | 9.24958e9 | − | 4.05251e10i | 0.0486239 | − | 0.213035i | ||||
\(322\) | −5.39135e9 | − | 6.76054e9i | −0.0279477 | − | 0.0350453i | ||||
\(323\) | −1.32703e11 | − | 1.66404e11i | −0.678373 | − | 0.850653i | ||||
\(324\) | 8.43893e9 | − | 3.69734e10i | 0.0425437 | − | 0.186396i | ||||
\(325\) | −2.88272e10 | − | 1.26300e11i | −0.143327 | − | 0.627955i | ||||
\(326\) | −2.48515e11 | − | 3.11628e11i | −1.21863 | − | 1.52812i | ||||
\(327\) | −2.18409e11 | + | 1.05180e11i | −1.05635 | + | 0.508709i | ||||
\(328\) | 1.76762e11 | − | 8.51242e10i | 0.843251 | − | 0.406088i | ||||
\(329\) | −1.42886e9 | − | 6.26025e9i | −0.00672370 | − | 0.0294585i | ||||
\(330\) | −1.37017e11 | + | 1.71815e11i | −0.636009 | + | 0.797530i | ||||
\(331\) | −2.38548e11 | − | 1.14879e11i | −1.09232 | − | 0.526035i | −0.201086 | − | 0.979574i | \(-0.564447\pi\) |
−0.891236 | + | 0.453539i | \(0.850161\pi\) | |||||||
\(332\) | −2.07295e10 | + | 2.59940e10i | −0.0936415 | + | 0.117423i | ||||
\(333\) | −4.18858e8 | + | 1.83513e9i | −0.00186667 | + | 0.00817841i | ||||
\(334\) | −4.84608e10 | + | 2.33375e10i | −0.213074 | + | 0.102611i | ||||
\(335\) | −4.24211e10 | + | 1.85859e11i | −0.184026 | + | 0.806272i | ||||
\(336\) | 6.80142e9 | + | 3.27539e9i | 0.0291120 | + | 0.0140196i | ||||
\(337\) | 4.28657e11 | 1.81040 | 0.905201 | − | 0.424984i | \(-0.139720\pi\) | ||||
0.905201 | + | 0.424984i | \(0.139720\pi\) | |||||||
\(338\) | −1.30464e10 | −0.0543706 | ||||||||
\(339\) | −3.52659e10 | − | 1.69831e10i | −0.145029 | − | 0.0698424i | ||||
\(340\) | −8.11198e9 | − | 3.55409e10i | −0.0329209 | − | 0.144236i | ||||
\(341\) | 3.43142e11 | + | 4.30287e11i | 1.37429 | + | 1.72331i | ||||
\(342\) | −7.48808e9 | + | 9.38976e9i | −0.0295974 | + | 0.0371139i | ||||
\(343\) | 1.46207e10 | 0.0570356 | ||||||||
\(344\) | −4.80437e10 | − | 2.22227e11i | −0.184979 | − | 0.855625i | ||||
\(345\) | 2.24265e11 | 0.852265 | ||||||||
\(346\) | 1.77554e11 | − | 2.22646e11i | 0.666021 | − | 0.835164i | ||||
\(347\) | 9.48263e10 | + | 1.18908e11i | 0.351112 | + | 0.440281i | 0.925755 | − | 0.378123i | \(-0.123430\pi\) |
−0.574643 | + | 0.818404i | \(0.694859\pi\) | |||||||
\(348\) | −7.08618e9 | − | 3.10466e10i | −0.0259004 | − | 0.113477i | ||||
\(349\) | 2.41687e10 | + | 1.16390e10i | 0.0872044 | + | 0.0419954i | 0.476978 | − | 0.878915i | \(-0.341732\pi\) |
−0.389773 | + | 0.920911i | \(0.627447\pi\) | |||||||
\(350\) | −5.51913e9 | −0.0196591 | ||||||||
\(351\) | −2.97904e11 | −1.04760 | ||||||||
\(352\) | 1.61229e11 | + | 7.76439e10i | 0.559760 | + | 0.269566i | ||||
\(353\) | 4.74842e10 | − | 2.08042e11i | 0.162766 | − | 0.713124i | −0.826002 | − | 0.563667i | \(-0.809390\pi\) |
0.988768 | − | 0.149457i | \(-0.0477525\pi\) | |||||||
\(354\) | 1.72631e11 | − | 8.31346e10i | 0.584256 | − | 0.281363i | ||||
\(355\) | 4.14770e10 | − | 1.81722e11i | 0.138605 | − | 0.607269i | ||||
\(356\) | 4.96007e10 | − | 6.21973e10i | 0.163668 | − | 0.205233i | ||||
\(357\) | −9.28284e9 | − | 4.47038e9i | −0.0302464 | − | 0.0145659i | ||||
\(358\) | −1.31277e9 | + | 1.64617e9i | −0.00422392 | + | 0.00529663i | ||||
\(359\) | −2.38254e10 | − | 1.04386e11i | −0.0757034 | − | 0.331678i | 0.922868 | − | 0.385117i | \(-0.125839\pi\) |
−0.998571 | + | 0.0534387i | \(0.982982\pi\) | |||||||
\(360\) | 7.35270e9 | − | 3.54087e9i | 0.0230720 | − | 0.0111109i | ||||
\(361\) | 5.41061e10 | − | 2.60561e10i | 0.167673 | − | 0.0807473i | ||||
\(362\) | 3.97334e10 | + | 4.98241e10i | 0.121609 | + | 0.152493i | ||||
\(363\) | 1.04179e11 | + | 4.56436e11i | 0.314919 | + | 1.37975i | ||||
\(364\) | −4.38547e8 | + | 1.92140e9i | −0.00130936 | + | 0.00573669i | ||||
\(365\) | 1.60168e11 | + | 2.00844e11i | 0.472342 | + | 0.592298i | ||||
\(366\) | 3.64170e11 | + | 4.56654e11i | 1.06081 | + | 1.33022i | ||||
\(367\) | 4.13912e10 | − | 1.81347e11i | 0.119100 | − | 0.521810i | −0.879819 | − | 0.475310i | \(-0.842336\pi\) |
0.998918 | − | 0.0465002i | \(-0.0148068\pi\) | |||||||
\(368\) | −1.30267e11 | − | 5.70737e11i | −0.370271 | − | 1.62226i | ||||
\(369\) | 1.13973e10 | + | 1.42918e10i | 0.0320025 | + | 0.0401299i | ||||
\(370\) | −3.79049e10 | + | 1.82541e10i | −0.105145 | + | 0.0506351i | ||||
\(371\) | −1.06827e10 | + | 5.14452e9i | −0.0292751 | + | 0.0140982i | ||||
\(372\) | −2.27321e10 | − | 9.95957e10i | −0.0615454 | − | 0.269648i | ||||
\(373\) | −6.93753e10 | + | 8.69939e10i | −0.185573 | + | 0.232701i | −0.865912 | − | 0.500196i | \(-0.833261\pi\) |
0.680339 | + | 0.732898i | \(0.261833\pi\) | |||||||
\(374\) | −7.05409e11 | − | 3.39707e11i | −1.86431 | − | 0.897806i | ||||
\(375\) | 2.31201e11 | − | 2.89917e11i | 0.603740 | − | 0.757066i | ||||
\(376\) | 7.99583e10 | − | 3.50320e11i | 0.206309 | − | 0.903899i | ||||
\(377\) | −2.14533e11 | + | 1.03314e11i | −0.546963 | + | 0.263403i | ||||
\(378\) | −2.82414e9 | + | 1.23734e10i | −0.00711498 | + | 0.0311728i | ||||
\(379\) | 5.30131e11 | + | 2.55298e11i | 1.31980 | + | 0.635580i | 0.955304 | − | 0.295627i | \(-0.0955284\pi\) |
0.364492 | + | 0.931207i | \(0.381243\pi\) | |||||||
\(380\) | −4.49839e10 | −0.110670 | ||||||||
\(381\) | 3.55765e11 | 0.864971 | ||||||||
\(382\) | 1.02314e11 | + | 4.92720e10i | 0.245840 | + | 0.118390i | ||||
\(383\) | −8.34885e10 | − | 3.65787e11i | −0.198259 | − | 0.868628i | −0.971973 | − | 0.235093i | \(-0.924461\pi\) |
0.773714 | − | 0.633535i | \(-0.218397\pi\) | |||||||
\(384\) | 3.09066e11 | + | 3.87556e11i | 0.725371 | + | 0.909587i | ||||
\(385\) | 7.31448e9 | − | 9.17207e9i | 0.0169672 | − | 0.0212762i | ||||
\(386\) | 3.50987e11 | 0.804727 | ||||||||
\(387\) | 1.91905e10 | − | 8.97164e9i | 0.0434897 | − | 0.0203316i | ||||
\(388\) | 1.61786e11 | 0.362409 | ||||||||
\(389\) | 3.58480e11 | − | 4.49520e11i | 0.793765 | − | 0.995349i | −0.206094 | − | 0.978532i | \(-0.566075\pi\) |
0.999859 | − | 0.0168172i | \(-0.00535333\pi\) | |||||||
\(390\) | −1.90170e11 | − | 2.38466e11i | −0.416247 | − | 0.521957i | ||||
\(391\) | 1.77794e11 | + | 7.78965e11i | 0.384699 | + | 1.68548i | ||||
\(392\) | 3.68423e11 | + | 1.77423e11i | 0.788059 | + | 0.379509i | ||||
\(393\) | −3.53213e11 | −0.746913 | ||||||||
\(394\) | −2.82692e11 | −0.590991 | ||||||||
\(395\) | −2.57276e11 | − | 1.23898e11i | −0.531757 | − | 0.256081i | ||||
\(396\) | −1.64747e9 | + | 7.21804e9i | −0.00336658 | + | 0.0147500i | ||||
\(397\) | −6.63503e11 | + | 3.19526e11i | −1.34056 | + | 0.645578i | −0.960213 | − | 0.279267i | \(-0.909909\pi\) |
−0.380344 | + | 0.924845i | \(0.624194\pi\) | |||||||
\(398\) | 4.57070e10 | − | 2.00255e11i | 0.0913079 | − | 0.400046i | ||||
\(399\) | −7.92686e9 | + | 9.93997e9i | −0.0156575 | + | 0.0196339i | ||||
\(400\) | −3.36648e11 | − | 1.62121e11i | −0.657516 | − | 0.316643i | ||||
\(401\) | 1.78091e11 | − | 2.23320e11i | 0.343948 | − | 0.431298i | −0.579528 | − | 0.814952i | \(-0.696763\pi\) |
0.923477 | + | 0.383655i | \(0.125335\pi\) | |||||||
\(402\) | −1.69114e11 | − | 7.40938e11i | −0.322971 | − | 1.41503i | ||||
\(403\) | −6.88209e11 | + | 3.31424e11i | −1.29971 | + | 0.625909i | ||||
\(404\) | 3.07614e10 | − | 1.48139e10i | 0.0574500 | − | 0.0276664i | ||||
\(405\) | −1.95353e11 | − | 2.44965e11i | −0.360805 | − | 0.452436i | ||||
\(406\) | 2.25733e9 | + | 9.89000e9i | 0.00412313 | + | 0.0180646i | ||||
\(407\) | −3.36944e10 | + | 1.47625e11i | −0.0608671 | + | 0.266676i | ||||
\(408\) | −3.59480e11 | − | 4.50773e11i | −0.642249 | − | 0.805355i | ||||
\(409\) | −3.82059e10 | − | 4.79087e10i | −0.0675111 | − | 0.0846563i | 0.746929 | − | 0.664904i | \(-0.231527\pi\) |
−0.814440 | + | 0.580247i | \(0.802956\pi\) | |||||||
\(410\) | −9.09148e10 | + | 3.98324e11i | −0.158894 | + | 0.696160i | ||||
\(411\) | 1.52441e11 | + | 6.67889e11i | 0.263521 | + | 1.15456i | ||||
\(412\) | 5.56249e10 | + | 6.97515e10i | 0.0951113 | + | 0.119266i | ||||
\(413\) | −9.21564e9 | + | 4.43802e9i | −0.0155866 | + | 0.00750609i | ||||
\(414\) | 4.06205e10 | − | 1.95618e10i | 0.0679586 | − | 0.0327271i | ||||
\(415\) | 6.11232e10 | + | 2.67798e11i | 0.101155 | + | 0.443191i | ||||
\(416\) | −1.54856e11 | + | 1.94184e11i | −0.253518 | + | 0.317902i | ||||
\(417\) | 1.25189e11 | + | 6.02879e10i | 0.202747 | + | 0.0976378i | ||||
\(418\) | −6.02368e11 | + | 7.55345e11i | −0.965091 | + | 1.21019i | ||||
\(419\) | −1.13597e11 | + | 4.97699e11i | −0.180054 | + | 0.788867i | 0.801549 | + | 0.597930i | \(0.204010\pi\) |
−0.981602 | + | 0.190937i | \(0.938847\pi\) | |||||||
\(420\) | −1.96195e9 | + | 9.44824e8i | −0.00307656 | + | 0.00148159i | ||||
\(421\) | −2.27879e11 | + | 9.98404e11i | −0.353537 | + | 1.54895i | 0.415408 | + | 0.909635i | \(0.363639\pi\) |
−0.768946 | + | 0.639314i | \(0.779218\pi\) | |||||||
\(422\) | −9.84084e11 | − | 4.73910e11i | −1.51052 | − | 0.727428i | ||||
\(423\) | 3.34801e10 | 0.0508458 | ||||||||
\(424\) | −6.63507e11 | −0.997009 | ||||||||
\(425\) | 4.59471e11 | + | 2.21269e11i | 0.683136 | + | 0.328981i | ||||
\(426\) | 1.65350e11 | + | 7.24448e11i | 0.243255 | + | 1.06577i | ||||
\(427\) | −1.94407e10 | − | 2.43778e10i | −0.0282999 | − | 0.0354870i | ||||
\(428\) | 1.95151e10 | − | 2.44712e10i | 0.0281109 | − | 0.0352499i | ||||
\(429\) | −1.09777e12 | −1.56479 | ||||||||
\(430\) | 4.24202e11 | + | 2.10320e11i | 0.598363 | + | 0.296669i | ||||
\(431\) | 1.18614e12 | 1.65573 | 0.827863 | − | 0.560931i | \(-0.189557\pi\) | ||||
0.827863 | + | 0.560931i | \(0.189557\pi\) | |||||||
\(432\) | −5.35724e11 | + | 6.71776e11i | −0.740055 | + | 0.927999i | ||||
\(433\) | −3.69035e11 | − | 4.62755e11i | −0.504513 | − | 0.632639i | 0.462728 | − | 0.886500i | \(-0.346871\pi\) |
−0.967241 | + | 0.253861i | \(0.918299\pi\) | |||||||
\(434\) | 7.24138e9 | + | 3.17266e10i | 0.00979755 | + | 0.0429259i | ||||
\(435\) | −2.37042e11 | − | 1.14154e11i | −0.317413 | − | 0.152858i | ||||
\(436\) | −1.82538e11 | −0.241915 | ||||||||
\(437\) | 9.85930e11 | 1.29324 | ||||||||
\(438\) | −9.22685e11 | − | 4.44342e11i | −1.19790 | − | 0.576877i | ||||
\(439\) | −9.67814e10 | + | 4.24027e11i | −0.124366 | + | 0.544883i | 0.873905 | + | 0.486097i | \(0.161580\pi\) |
−0.998271 | + | 0.0587854i | \(0.981277\pi\) | |||||||
\(440\) | 5.91477e11 | − | 2.84840e11i | 0.752317 | − | 0.362297i | ||||
\(441\) | −8.47815e9 | + | 3.71452e10i | −0.0106740 | + | 0.0467659i | ||||
\(442\) | 6.77527e11 | − | 8.49592e11i | 0.844357 | − | 1.05879i | ||||
\(443\) | −9.05835e11 | − | 4.36227e11i | −1.11746 | − | 0.538141i | −0.218354 | − | 0.975870i | \(-0.570069\pi\) |
−0.899107 | + | 0.437729i | \(0.855783\pi\) | |||||||
\(444\) | 1.75242e10 | − | 2.19747e10i | 0.0214001 | − | 0.0268349i | ||||
\(445\) | −1.46253e11 | − | 6.40775e11i | −0.176801 | − | 0.774614i | ||||
\(446\) | −3.15442e11 | + | 1.51909e11i | −0.377497 | + | 0.181793i | ||||
\(447\) | 2.27077e11 | − | 1.09354e11i | 0.269022 | − | 0.129554i | ||||
\(448\) | −1.10073e10 | − | 1.38027e10i | −0.0129101 | − | 0.0161887i | ||||
\(449\) | 1.58785e11 | + | 6.95683e11i | 0.184375 | + | 0.807799i | 0.979515 | + | 0.201373i | \(0.0645402\pi\) |
−0.795140 | + | 0.606426i | \(0.792603\pi\) | |||||||
\(450\) | 6.40338e9 | − | 2.80550e10i | 0.00736128 | − | 0.0322519i | ||||
\(451\) | 9.16840e11 | + | 1.14968e12i | 1.04352 | + | 1.30853i | ||||
\(452\) | −1.83766e10 | − | 2.30435e10i | −0.0207082 | − | 0.0259672i | ||||
\(453\) | 2.78809e11 | − | 1.22154e12i | 0.311075 | − | 1.36291i | ||||
\(454\) | −2.64003e11 | − | 1.15667e12i | −0.291647 | − | 1.27779i | ||||
\(455\) | 1.01519e10 | + | 1.27301e10i | 0.0111045 | + | 0.0139246i | ||||
\(456\) | −6.40997e11 | + | 3.08688e11i | −0.694247 | + | 0.334332i | ||||
\(457\) | 7.97835e11 | − | 3.84217e11i | 0.855638 | − | 0.412054i | 0.0459708 | − | 0.998943i | \(-0.485362\pi\) |
0.809667 | + | 0.586889i | \(0.199648\pi\) | |||||||
\(458\) | 2.49871e11 | + | 1.09476e12i | 0.265351 | + | 1.16258i | ||||
\(459\) | 7.31177e11 | − | 9.16867e11i | 0.768892 | − | 0.964160i | ||||
\(460\) | 1.52146e11 | + | 7.32698e10i | 0.158435 | + | 0.0762983i | ||||
\(461\) | 6.66444e11 | − | 8.35694e11i | 0.687241 | − | 0.861773i | −0.308757 | − | 0.951141i | \(-0.599913\pi\) |
0.995999 | + | 0.0893674i | \(0.0284845\pi\) | |||||||
\(462\) | −1.04070e10 | + | 4.55958e10i | −0.0106276 | + | 0.0465625i | ||||
\(463\) | 2.20943e11 | − | 1.06400e11i | 0.223442 | − | 0.107604i | −0.318814 | − | 0.947817i | \(-0.603284\pi\) |
0.542256 | + | 0.840213i | \(0.317570\pi\) | |||||||
\(464\) | −1.52823e11 | + | 6.69563e11i | −0.153059 | + | 0.670596i | ||||
\(465\) | −7.60418e11 | − | 3.66198e11i | −0.754248 | − | 0.363227i | ||||
\(466\) | 2.00179e12 | 1.96645 | ||||||||
\(467\) | −1.69056e12 | −1.64477 | −0.822383 | − | 0.568934i | \(-0.807356\pi\) | ||||
−0.822383 | + | 0.568934i | \(0.807356\pi\) | |||||||
\(468\) | −9.25812e9 | − | 4.45847e9i | −0.00892106 | − | 0.00429616i | ||||
\(469\) | 9.02792e9 | + | 3.95539e10i | 0.00861608 | + | 0.0377495i | ||||
\(470\) | 4.66559e11 | + | 5.85046e11i | 0.441028 | + | 0.553031i | ||||
\(471\) | 2.26935e11 | − | 2.84568e11i | 0.212475 | − | 0.266435i | ||||
\(472\) | −5.72387e11 | −0.530824 | ||||||||
\(473\) | 1.54375e12 | − | 7.21710e11i | 1.41808 | − | 0.662960i | ||||
\(474\) | 1.13838e12 | 1.03582 | ||||||||
\(475\) | 3.92354e11 | − | 4.91996e11i | 0.353636 | − | 0.443446i | ||||
\(476\) | −4.83717e9 | − | 6.06562e9i | −0.00431877 | − | 0.00541557i | ||||
\(477\) | −1.37566e10 | − | 6.02715e10i | −0.0121668 | − | 0.0533064i | ||||
\(478\) | 8.66150e11 | + | 4.17116e11i | 0.758871 | + | 0.365453i | ||||
\(479\) | −1.13327e12 | −0.983609 | −0.491805 | − | 0.870706i | \(-0.663663\pi\) | ||||
−0.491805 | + | 0.870706i | \(0.663663\pi\) | |||||||
\(480\) | −2.74430e11 | −0.235964 | ||||||||
\(481\) | −1.89349e11 | − | 9.11855e10i | −0.161291 | − | 0.0776735i | ||||
\(482\) | −4.06498e11 | + | 1.78099e12i | −0.343042 | + | 1.50297i | ||||
\(483\) | 4.30008e10 | − | 2.07081e10i | 0.0359513 | − | 0.0173132i | ||||
\(484\) | −7.84457e10 | + | 3.43693e11i | −0.0649778 | + | 0.284686i | ||||
\(485\) | 8.33386e11 | − | 1.04503e12i | 0.683925 | − | 0.857614i | ||||
\(486\) | −1.16509e11 | − | 5.61079e10i | −0.0947321 | − | 0.0456206i | ||||
\(487\) | −1.46649e12 | + | 1.83892e12i | −1.18140 | + | 1.48143i | −0.340506 | + | 0.940242i | \(0.610598\pi\) |
−0.840899 | + | 0.541192i | \(0.817973\pi\) | |||||||
\(488\) | −3.88263e11 | − | 1.70109e12i | −0.309911 | − | 1.35781i | ||||
\(489\) | 1.98213e12 | − | 9.54542e11i | 1.56762 | − | 0.754927i | ||||
\(490\) | −7.67239e11 | + | 3.69483e11i | −0.601240 | + | 0.289542i | ||||
\(491\) | 6.50036e11 | + | 8.15120e11i | 0.504744 | + | 0.632928i | 0.967292 | − | 0.253666i | \(-0.0816363\pi\) |
−0.462548 | + | 0.886594i | \(0.653065\pi\) | |||||||
\(492\) | −6.07377e10 | − | 2.66109e11i | −0.0467321 | − | 0.204747i | ||||
\(493\) | 2.08579e11 | − | 9.13846e11i | 0.159023 | − | 0.696726i | ||||
\(494\) | −8.36041e11 | − | 1.04836e12i | −0.631620 | − | 0.792027i | ||||
\(495\) | 3.81374e10 | + | 4.78228e10i | 0.0285514 | + | 0.0358023i | ||||
\(496\) | −4.90249e11 | + | 2.14792e12i | −0.363705 | + | 1.59350i | ||||
\(497\) | −8.82700e9 | − | 3.86736e10i | −0.00648947 | − | 0.0284322i | ||||
\(498\) | −6.82752e11 | − | 8.56143e11i | −0.497429 | − | 0.623756i | ||||
\(499\) | −1.73175e12 | + | 8.33965e11i | −1.25035 | + | 0.602137i | −0.937606 | − | 0.347700i | \(-0.886963\pi\) |
−0.312745 | + | 0.949837i | \(0.601249\pi\) | |||||||
\(500\) | 2.51572e11 | − | 1.21151e11i | 0.180010 | − | 0.0866883i | ||||
\(501\) | −6.60617e10 | − | 2.89435e11i | −0.0468468 | − | 0.205249i | ||||
\(502\) | 1.21951e12 | − | 1.52921e12i | 0.857072 | − | 1.07473i | ||||
\(503\) | 1.92271e12 | + | 9.25931e11i | 1.33924 | + | 0.644945i | 0.959908 | − | 0.280315i | \(-0.0904390\pi\) |
0.379334 | + | 0.925260i | \(0.376153\pi\) | |||||||
\(504\) | 1.08286e9 | − | 1.35786e9i | 0.000747541 | − | 0.000937387i | ||||
\(505\) | 6.27685e10 | − | 2.75007e11i | 0.0429468 | − | 0.188162i | ||||
\(506\) | 3.26766e12 | − | 1.57362e12i | 2.21595 | − | 1.06714i | ||||
\(507\) | 1.60235e10 | − | 7.02037e10i | 0.0107702 | − | 0.0471872i | ||||
\(508\) | 2.41359e11 | + | 1.16233e11i | 0.160797 | + | 0.0774357i | ||||
\(509\) | −2.48724e12 | −1.64243 | −0.821215 | − | 0.570619i | \(-0.806703\pi\) | ||||
−0.821215 | + | 0.570619i | \(0.806703\pi\) | |||||||
\(510\) | 1.20069e12 | 0.785893 | ||||||||
\(511\) | 4.92562e10 | + | 2.37205e10i | 0.0319571 | + | 0.0153897i | ||||
\(512\) | −1.92188e11 | − | 8.42030e11i | −0.123598 | − | 0.541518i | ||||
\(513\) | −9.02242e11 | − | 1.13138e12i | −0.575169 | − | 0.721239i | ||||
\(514\) | −4.25035e11 | + | 5.32978e11i | −0.268591 | + | 0.336802i | ||||
\(515\) | 7.37080e11 | 0.461724 | ||||||||
\(516\) | −3.16297e11 | − | 3.63254e9i | −0.196413 | − | 0.00225573i | ||||
\(517\) | 2.69326e12 | 1.65794 | ||||||||
\(518\) | −5.58240e9 | + | 7.00011e9i | −0.00340673 | + | 0.00427190i | ||||
\(519\) | 9.80006e11 | + | 1.22889e12i | 0.592892 | + | 0.743463i | ||||
\(520\) | 2.02752e11 | + | 8.88314e11i | 0.121605 | + | 0.532784i | ||||
\(521\) | −1.82971e12 | − | 8.81141e11i | −1.08796 | − | 0.523933i | −0.198105 | − | 0.980181i | \(-0.563479\pi\) |
−0.889853 | + | 0.456248i | \(0.849193\pi\) | |||||||
\(522\) | −5.28922e10 | −0.0311799 | ||||||||
\(523\) | −1.59314e12 | −0.931102 | −0.465551 | − | 0.885021i | \(-0.654144\pi\) | ||||
−0.465551 | + | 0.885021i | \(0.654144\pi\) | |||||||
\(524\) | −2.39628e11 | − | 1.15399e11i | −0.138850 | − | 0.0668667i | ||||
\(525\) | 6.77860e9 | − | 2.96990e10i | 0.00389425 | − | 0.0170618i | ||||
\(526\) | −6.65287e11 | + | 3.20385e11i | −0.378943 | + | 0.182489i | ||||
\(527\) | 6.69111e11 | − | 2.93157e12i | 0.377877 | − | 1.65559i | ||||
\(528\) | −1.97414e12 | + | 2.47549e12i | −1.10541 | + | 1.38614i | ||||
\(529\) | −1.71187e12 | − | 8.24393e11i | −0.950430 | − | 0.457703i | ||||
\(530\) | 8.61507e11 | − | 1.08030e12i | 0.474261 | − | 0.594705i | ||||
\(531\) | −1.18674e10 | − | 5.19943e10i | −0.00647782 | − | 0.0283812i | ||||
\(532\) | −8.62527e9 | + | 4.15371e9i | −0.00466842 | + | 0.00224819i | ||||
\(533\) | −1.83882e12 | + | 8.85530e11i | −0.986887 | + | 0.475260i | ||||
\(534\) | 1.63366e12 | + | 2.04854e12i | 0.869411 | + | 1.09021i | ||||
\(535\) | −5.75423e10 | − | 2.52110e11i | −0.0303666 | − | 0.133045i | ||||
\(536\) | −5.05198e11 | + | 2.21342e12i | −0.264375 | + | 1.15830i | ||||
\(537\) | −7.24583e9 | − | 9.08598e9i | −0.00376014 | − | 0.00471506i | ||||
\(538\) | −1.09519e12 | − | 1.37333e12i | −0.563599 | − | 0.706731i | ||||
\(539\) | −6.82012e11 | + | 2.98809e12i | −0.348051 | + | 1.52491i | ||||
\(540\) | −5.51531e10 | − | 2.41642e11i | −0.0279125 | − | 0.122292i | ||||
\(541\) | −1.76551e12 | − | 2.21388e12i | −0.886102 | − | 1.11114i | −0.993146 | − | 0.116882i | \(-0.962710\pi\) |
0.107044 | − | 0.994254i | \(-0.465861\pi\) | |||||||
\(542\) | −1.47243e12 | + | 7.09085e11i | −0.732888 | + | 0.352940i | ||||
\(543\) | −3.16909e11 | + | 1.52615e11i | −0.156436 | + | 0.0753354i | ||||
\(544\) | −2.17564e11 | − | 9.53211e11i | −0.106510 | − | 0.466653i | ||||
\(545\) | −9.40278e11 | + | 1.17907e12i | −0.456533 | + | 0.572474i | ||||
\(546\) | −5.84828e10 | − | 2.81638e10i | −0.0281619 | − | 0.0135620i | ||||
\(547\) | −2.05348e10 | + | 2.57498e10i | −0.00980725 | + | 0.0122979i | −0.786711 | − | 0.617322i | \(-0.788218\pi\) |
0.776904 | + | 0.629619i | \(0.216789\pi\) | |||||||
\(548\) | −1.14787e11 | + | 5.02916e11i | −0.0543727 | + | 0.238222i | ||||
\(549\) | 1.46474e11 | − | 7.05379e10i | 0.0688151 | − | 0.0331396i | ||||
\(550\) | 5.15110e11 | − | 2.25685e12i | 0.240031 | − | 1.05165i | ||||
\(551\) | −1.04210e12 | − | 5.01851e11i | −0.481647 | − | 0.231949i | ||||
\(552\) | 2.67079e12 | 1.22438 | ||||||||
\(553\) | −6.07710e10 | −0.0276333 | ||||||||
\(554\) | 1.25117e12 | + | 6.02531e11i | 0.564315 | + | 0.271760i | ||||
\(555\) | −5.16720e10 | − | 2.26390e11i | −0.0231173 | − | 0.101283i | ||||
\(556\) | 6.52345e10 | + | 8.18014e10i | 0.0289495 | + | 0.0363015i | ||||
\(557\) | 8.73492e11 | − | 1.09532e12i | 0.384513 | − | 0.482164i | −0.551477 | − | 0.834190i | \(-0.685936\pi\) |
0.935990 | + | 0.352026i | \(0.114507\pi\) | |||||||
\(558\) | −1.69675e11 | −0.0740908 | ||||||||
\(559\) | 4.99789e11 | + | 2.31178e12i | 0.216488 | + | 1.00137i | ||||
\(560\) | 4.69629e10 | 0.0201794 | ||||||||
\(561\) | 2.69438e12 | − | 3.37865e12i | 1.14849 | − | 1.44016i | ||||
\(562\) | −3.10203e11 | − | 3.88982e11i | −0.131169 | − | 0.164481i | ||||
\(563\) | 8.34965e11 | + | 3.65822e12i | 0.350252 | + | 1.53455i | 0.776599 | + | 0.629995i | \(0.216943\pi\) |
−0.426347 | + | 0.904559i | \(0.640200\pi\) | |||||||
\(564\) | −4.50413e11 | − | 2.16907e11i | −0.187437 | − | 0.0902647i | ||||
\(565\) | −2.43506e11 | −0.100529 | ||||||||
\(566\) | 7.34034e11 | 0.300637 | ||||||||
\(567\) | −6.00768e10 | − | 2.89315e10i | −0.0244109 | − | 0.0117557i | ||||
\(568\) | 4.93954e11 | − | 2.16416e12i | 0.199122 | − | 0.872411i | ||||
\(569\) | 1.23997e12 | − | 5.97136e11i | 0.495912 | − | 0.238819i | −0.169173 | − | 0.985586i | \(-0.554110\pi\) |
0.665085 | + | 0.746768i | \(0.268395\pi\) | |||||||
\(570\) | 3.29686e11 | − | 1.44445e12i | 0.130817 | − | 0.573147i | ||||
\(571\) | −1.78548e12 | + | 2.23892e12i | −0.702898 | + | 0.881406i | −0.997236 | − | 0.0742954i | \(-0.976329\pi\) |
0.294339 | + | 0.955701i | \(0.404901\pi\) | |||||||
\(572\) | −7.44755e11 | − | 3.58655e11i | −0.290892 | − | 0.140086i | ||||
\(573\) | −3.90800e11 | + | 4.90048e11i | −0.151446 | + | 0.189908i | ||||
\(574\) | 1.93482e10 | + | 8.47700e10i | 0.00743939 | + | 0.0325941i | ||||
\(575\) | −2.12840e12 | + | 1.02498e12i | −0.811985 | + | 0.391031i | ||||
\(576\) | 8.29331e10 | − | 3.99385e10i | 0.0313926 | − | 0.0151179i | ||||
\(577\) | 1.53132e12 | + | 1.92021e12i | 0.575141 | + | 0.721204i | 0.981275 | − | 0.192610i | \(-0.0616951\pi\) |
−0.406135 | + | 0.913813i | \(0.633124\pi\) | |||||||
\(578\) | 2.97437e11 | + | 1.30316e12i | 0.110846 | + | 0.485648i | ||||
\(579\) | −4.31083e11 | + | 1.88870e12i | −0.159407 | + | 0.698407i | ||||
\(580\) | −1.23520e11 | − | 1.54889e11i | −0.0453221 | − | 0.0568322i | ||||
\(581\) | 3.64477e10 | + | 4.57040e10i | 0.0132702 | + | 0.0166403i | ||||
\(582\) | −1.18573e12 | + | 5.19503e12i | −0.428383 | + | 1.87687i | ||||
\(583\) | −1.10663e12 | − | 4.84845e12i | −0.396728 | − | 1.73818i | ||||
\(584\) | 1.90745e12 | + | 2.39187e12i | 0.678573 | + | 0.850903i | ||||
\(585\) | −7.64887e10 | + | 3.68350e10i | −0.0270020 | + | 0.0130035i | ||||
\(586\) | 3.29665e12 | − | 1.58758e12i | 1.15487 | − | 0.556156i | ||||
\(587\) | 6.33690e11 | + | 2.77638e12i | 0.220295 | + | 0.965177i | 0.957256 | + | 0.289242i | \(0.0934031\pi\) |
−0.736961 | + | 0.675936i | \(0.763740\pi\) | |||||||
\(588\) | 3.54710e11 | − | 4.44792e11i | 0.122370 | − | 0.153447i | ||||
\(589\) | −3.34301e12 | − | 1.60991e12i | −1.14451 | − | 0.551167i | ||||
\(590\) | 7.43196e11 | − | 9.31938e11i | 0.252505 | − | 0.316631i | ||||
\(591\) | 3.47203e11 | − | 1.52119e12i | 0.117068 | − | 0.512910i | ||||
\(592\) | −5.46131e11 | + | 2.63003e11i | −0.182747 | + | 0.0880061i | ||||
\(593\) | −9.04922e11 | + | 3.96472e12i | −0.300514 | + | 1.31664i | 0.568840 | + | 0.822448i | \(0.307392\pi\) |
−0.869354 | + | 0.494190i | \(0.835465\pi\) | |||||||
\(594\) | −4.79606e12 | − | 2.30966e12i | −1.58068 | − | 0.761218i | ||||
\(595\) | −6.40968e10 | −0.0209657 | ||||||||
\(596\) | 1.89781e11 | 0.0616092 | ||||||||
\(597\) | 1.02146e12 | + | 4.91907e11i | 0.329106 | + | 0.158489i | ||||
\(598\) | 1.12012e12 | + | 4.90756e12i | 0.358186 | + | 1.56931i | ||||
\(599\) | 2.44532e12 | + | 3.06634e12i | 0.776096 | + | 0.973194i | 0.999999 | − | 0.00141791i | \(-0.000451335\pi\) |
−0.223903 | + | 0.974611i | \(0.571880\pi\) | |||||||
\(600\) | 1.06285e12 | − | 1.33277e12i | 0.334805 | − | 0.419832i | ||||
\(601\) | −3.73327e12 | −1.16722 | −0.583612 | − | 0.812032i | \(-0.698361\pi\) | ||||
−0.583612 | + | 0.812032i | \(0.698361\pi\) | |||||||
\(602\) | 1.00757e11 | + | 1.15716e9i | 0.0312675 | + | 0.000359094i | ||||
\(603\) | −2.11536e11 | −0.0651563 | ||||||||
\(604\) | 5.88243e11 | − | 7.37633e11i | 0.179842 | − | 0.225514i | ||||
\(605\) | 1.81594e12 | + | 2.27712e12i | 0.551065 | + | 0.691014i | ||||
\(606\) | 2.50230e11 | + | 1.09633e12i | 0.0753726 | + | 0.330229i | ||||
\(607\) | −2.45516e12 | − | 1.18234e12i | −0.734058 | − | 0.353504i | 0.0292210 | − | 0.999573i | \(-0.490697\pi\) |
−0.763279 | + | 0.646069i | \(0.776412\pi\) | |||||||
\(608\) | −1.20647e12 | −0.358056 | ||||||||
\(609\) | −5.59915e10 | −0.0164947 | ||||||||
\(610\) | 3.27378e12 | + | 1.57657e12i | 0.957338 | + | 0.461030i | ||||
\(611\) | −8.31791e11 | + | 3.64431e12i | −0.241451 | + | 1.05787i | ||||
\(612\) | 3.64451e10 | − | 1.75510e10i | 0.0105017 | − | 0.00505733i | ||||
\(613\) | 1.26200e12 | − | 5.52916e12i | 0.360982 | − | 1.58157i | −0.389725 | − | 0.920931i | \(-0.627430\pi\) |
0.750707 | − | 0.660635i | \(-0.229713\pi\) | |||||||
\(614\) | 2.82180e12 | − | 3.53843e12i | 0.801252 | − | 1.00474i | ||||
\(615\) | −2.03176e12 | − | 9.78443e11i | −0.572709 | − | 0.275802i | ||||
\(616\) | 8.71091e10 | − | 1.09231e11i | 0.0243753 | − | 0.0305657i | ||||
\(617\) | −2.52623e11 | − | 1.10681e12i | −0.0701761 | − | 0.307462i | 0.927643 | − | 0.373468i | \(-0.121831\pi\) |
−0.997819 | + | 0.0660063i | \(0.978974\pi\) | |||||||
\(618\) | −2.64742e12 | + | 1.27493e12i | −0.730088 | + | 0.351592i | ||||
\(619\) | −3.39841e12 | + | 1.63659e12i | −0.930397 | + | 0.448055i | −0.836772 | − | 0.547552i | \(-0.815560\pi\) |
−0.0936251 | + | 0.995608i | \(0.529846\pi\) | |||||||
\(620\) | −3.96244e11 | − | 4.96875e11i | −0.107696 | − | 0.135047i | ||||
\(621\) | 1.20881e12 | + | 5.29616e12i | 0.326172 | + | 1.42905i | ||||
\(622\) | 6.49445e11 | − | 2.84540e12i | 0.173974 | − | 0.762232i | ||||
\(623\) | −8.72104e10 | − | 1.09358e11i | −0.0231938 | − | 0.0290841i | ||||
\(624\) | −2.73995e12 | − | 3.43579e12i | −0.723457 | − | 0.907186i | ||||
\(625\) | −2.03402e10 | + | 8.91163e10i | −0.00533207 | + | 0.0233613i | ||||
\(626\) | 6.54773e11 | + | 2.86875e12i | 0.170414 | + | 0.746634i | ||||
\(627\) | −3.32476e12 | − | 4.16911e12i | −0.859124 | − | 1.07731i | ||||
\(628\) | 2.46930e11 | − | 1.18915e11i | 0.0633512 | − | 0.0305083i | ||||
\(629\) | 7.45381e11 | − | 3.58957e11i | 0.189868 | − | 0.0914354i | ||||
\(630\) | 8.04819e8 | + | 3.52614e9i | 0.000203547 | + | 0.000891800i | ||||
\(631\) | 1.40437e12 | − | 1.76102e12i | 0.352654 | − | 0.442214i | −0.573588 | − | 0.819144i | \(-0.694449\pi\) |
0.926242 | + | 0.376930i | \(0.123020\pi\) | |||||||
\(632\) | −3.06394e12 | − | 1.47551e12i | −0.763929 | − | 0.367889i | ||||
\(633\) | 3.75881e12 | − | 4.71340e12i | 0.930537 | − | 1.16686i | ||||
\(634\) | 6.00269e11 | − | 2.62995e12i | 0.147552 | − | 0.646466i | ||||
\(635\) | 1.99406e12 | − | 9.60290e11i | 0.486695 | − | 0.234380i | ||||
\(636\) | −2.05411e11 | + | 8.99965e11i | −0.0497814 | + | 0.218107i | ||||
\(637\) | −3.83263e12 | − | 1.84570e12i | −0.922294 | − | 0.444153i | ||||
\(638\) | −4.25483e12 | −1.01669 | ||||||||
\(639\) | 2.06828e11 | 0.0490745 | ||||||||
\(640\) | 2.77841e12 | + | 1.33801e12i | 0.654616 | + | 0.315247i | ||||
\(641\) | −4.43099e11 | − | 1.94134e12i | −0.103667 | − | 0.454194i | −0.999943 | − | 0.0106970i | \(-0.996595\pi\) |
0.896276 | − | 0.443497i | \(-0.146262\pi\) | |||||||
\(642\) | 6.42754e11 | + | 8.05988e11i | 0.149327 | + | 0.187250i | ||||
\(643\) | 5.36646e12 | − | 6.72933e12i | 1.23805 | − | 1.55247i | 0.525632 | − | 0.850712i | \(-0.323829\pi\) |
0.712419 | − | 0.701755i | \(-0.247600\pi\) | |||||||
\(644\) | 3.59383e10 | 0.00823325 | ||||||||
\(645\) | −1.65276e12 | + | 2.02436e12i | −0.376002 | + | 0.460541i | ||||
\(646\) | 5.27855e12 | 1.19253 | ||||||||
\(647\) | 3.90544e11 | − | 4.89727e11i | 0.0876196 | − | 0.109872i | −0.736089 | − | 0.676884i | \(-0.763330\pi\) |
0.823709 | + | 0.567013i | \(0.191901\pi\) | |||||||
\(648\) | −2.32649e12 | − | 2.91732e12i | −0.518338 | − | 0.649975i | ||||
\(649\) | −9.54652e11 | − | 4.18260e12i | −0.211224 | − | 0.925434i | ||||
\(650\) | 2.89471e12 | + | 1.39402e12i | 0.636055 | + | 0.306308i | ||||
\(651\) | −1.79618e11 | −0.0391953 | ||||||||
\(652\) | 1.65658e12 | 0.359003 | ||||||||
\(653\) | −4.36365e12 | − | 2.10142e12i | −0.939162 | − | 0.452277i | −0.0992887 | − | 0.995059i | \(-0.531657\pi\) |
−0.839874 | + | 0.542782i | \(0.817371\pi\) | |||||||
\(654\) | 1.33782e12 | − | 5.86135e12i | 0.285954 | − | 1.25285i | ||||
\(655\) | −1.97976e12 | + | 9.53401e11i | −0.420268 | + | 0.202390i | ||||
\(656\) | −1.30989e12 | + | 5.73902e12i | −0.276165 | + | 1.20996i | ||||
\(657\) | −1.77725e11 | + | 2.22860e11i | −0.0372138 | + | 0.0466646i | ||||
\(658\) | 1.43480e11 | + | 6.90966e10i | 0.0298385 | + | 0.0143694i | ||||
\(659\) | −3.27454e12 | + | 4.10614e12i | −0.676341 | + | 0.848104i | −0.995011 | − | 0.0997612i | \(-0.968192\pi\) |
0.318671 | + | 0.947865i | \(0.396764\pi\) | |||||||
\(660\) | −2.03239e11 | − | 8.90448e11i | −0.0416926 | − | 0.182667i | ||||
\(661\) | 3.26350e12 | − | 1.57162e12i | 0.664932 | − | 0.320214i | −0.0707966 | − | 0.997491i | \(-0.522554\pi\) |
0.735729 | + | 0.677276i | \(0.236840\pi\) | |||||||
\(662\) | 5.91617e12 | − | 2.84908e12i | 1.19724 | − | 0.576558i | ||||
\(663\) | 3.73960e12 | + | 4.68931e12i | 0.751647 | + | 0.942536i | ||||
\(664\) | 7.27923e11 | + | 3.18924e12i | 0.145321 | + | 0.636694i | ||||
\(665\) | −1.75998e10 | + | 7.71099e10i | −0.00348988 | + | 0.0152902i | ||||
\(666\) | −2.91064e10 | − | 3.64983e10i | −0.00573264 | − | 0.00718851i | ||||
\(667\) | 2.70723e12 | + | 3.39476e12i | 0.529614 | + | 0.664115i | ||||
\(668\) | 4.97440e10 | − | 2.17943e11i | 0.00966599 | − | 0.0423495i | ||||
\(669\) | −4.30011e11 | − | 1.88400e12i | −0.0829969 | − | 0.363633i | ||||
\(670\) | −2.94784e12 | − | 3.69648e12i | −0.565155 | − | 0.708682i | ||||
\(671\) | 1.17828e13 | − | 5.67432e12i | 2.24387 | − | 1.08059i | ||||
\(672\) | −5.26196e10 | + | 2.53403e10i | −0.00995373 | + | 0.00479346i | ||||
\(673\) | 3.61063e11 | + | 1.58192e12i | 0.0678447 | + | 0.297247i | 0.997455 | − | 0.0712966i | \(-0.0227137\pi\) |
−0.929610 | + | 0.368544i | \(0.879857\pi\) | |||||||
\(674\) | −6.62831e12 | + | 8.31164e12i | −1.23718 | + | 1.55138i | ||||
\(675\) | 3.12393e12 | + | 1.50440e12i | 0.579207 | + | 0.278931i | ||||
\(676\) | 3.38071e10 | − | 4.23927e10i | 0.00622655 | − | 0.00780785i | ||||
\(677\) | 1.11083e12 | − | 4.86686e12i | 0.203235 | − | 0.890430i | −0.765716 | − | 0.643178i | \(-0.777615\pi\) |
0.968951 | − | 0.247252i | \(-0.0795275\pi\) | |||||||
\(678\) | 8.74618e11 | − | 4.21194e11i | 0.158959 | − | 0.0765506i | ||||
\(679\) | 6.32985e10 | − | 2.77329e11i | 0.0114282 | − | 0.0500704i | ||||
\(680\) | −3.23162e12 | − | 1.55627e12i | −0.579602 | − | 0.279122i | ||||
\(681\) | 6.54841e12 | 1.16674 | ||||||||
\(682\) | −1.36493e13 | −2.41590 | ||||||||
\(683\) | 2.23115e12 | + | 1.07446e12i | 0.392315 | + | 0.188929i | 0.619633 | − | 0.784892i | \(-0.287281\pi\) |
−0.227318 | + | 0.973821i | \(0.572996\pi\) | |||||||
\(684\) | −1.11071e10 | − | 4.86635e10i | −0.00194021 | − | 0.00850062i | ||||
\(685\) | 2.65722e12 | + | 3.33204e12i | 0.461126 | + | 0.578233i | ||||
\(686\) | −2.26080e11 | + | 2.83496e11i | −0.0389766 | + | 0.0488752i | ||||
\(687\) | −6.19788e12 | −1.06154 | ||||||||
\(688\) | 6.11187e12 | + | 3.03027e12i | 1.03998 | + | 0.515625i | ||||
\(689\) | 6.90233e12 | 1.16684 | ||||||||
\(690\) | −3.46780e12 | + | 4.34848e12i | −0.582416 | + | 0.730326i | ||||
\(691\) | 2.29980e12 | + | 2.88385e12i | 0.383741 | + | 0.481196i | 0.935761 | − | 0.352635i | \(-0.114714\pi\) |
−0.552020 | + | 0.833831i | \(0.686143\pi\) | |||||||
\(692\) | 2.63367e11 | + | 1.15389e12i | 0.0436600 | + | 0.191287i | ||||
\(693\) | 1.17284e10 | + | 5.64808e9i | 0.00193169 | + | 0.000930254i | ||||
\(694\) | −3.77193e12 | −0.617228 | ||||||||
\(695\) | 8.64415e11 | 0.140537 | ||||||||
\(696\) | −2.82297e12 | − | 1.35947e12i | −0.455999 | − | 0.219598i | ||||
\(697\) | 1.78779e12 | − | 7.83284e12i | 0.286926 | − | 1.25711i | ||||
\(698\) | −5.99400e11 | + | 2.88656e11i | −0.0955801 | + | 0.0460290i | ||||
\(699\) | −2.45860e12 | + | 1.07718e13i | −0.389530 | + | 1.70664i | ||||
\(700\) | 1.43018e10 | − | 1.79338e10i | 0.00225138 | − | 0.00282314i | ||||
\(701\) | 4.15360e12 | + | 2.00027e12i | 0.649671 | + | 0.312865i | 0.729538 | − | 0.683940i | \(-0.239735\pi\) |
−0.0798667 | + | 0.996806i | \(0.525449\pi\) | |||||||
\(702\) | 4.60649e12 | − | 5.77635e12i | 0.715901 | − | 0.897711i | ||||
\(703\) | −2.27165e11 | − | 9.95273e11i | −0.0350786 | − | 0.153689i | ||||
\(704\) | 6.67143e12 | − | 3.21279e12i | 1.02363 | − | 0.492953i | ||||
\(705\) | −3.72122e12 | + | 1.79204e12i | −0.567328 | + | 0.273211i | ||||
\(706\) | 3.29968e12 | + | 4.13767e12i | 0.499863 | + | 0.626808i | ||||
\(707\) | −1.33582e10 | − | 5.85261e10i | −0.00201076 | − | 0.00880972i | ||||
\(708\) | −1.77202e11 | + | 7.76372e11i | −0.0265044 | + | 0.116124i | ||||
\(709\) | 6.06667e11 | + | 7.60737e11i | 0.0901659 | + | 0.113065i | 0.824868 | − | 0.565325i | \(-0.191249\pi\) |
−0.734702 | + | 0.678390i | \(0.762678\pi\) | |||||||
\(710\) | 2.88224e12 | + | 3.61421e12i | 0.425664 | + | 0.533766i | ||||
\(711\) | 7.05074e10 | − | 3.08913e11i | 0.0103472 | − | 0.0453339i | ||||
\(712\) | −1.74174e12 | − | 7.63107e12i | −0.253994 | − | 1.11282i | ||||
\(713\) | 8.68465e12 | + | 1.08902e13i | 1.25849 | + | 1.57810i | ||||
\(714\) | 2.30221e11 | − | 1.10869e11i | 0.0331515 | − | 0.0159649i | ||||
\(715\) | −6.15302e12 | + | 2.96314e12i | −0.880463 | + | 0.424009i | ||||
\(716\) | −1.94724e9 | − | 8.53143e9i | −0.000276893 | − | 0.00121315i | ||||
\(717\) | −3.30835e12 | + | 4.14854e12i | −0.467493 | + | 0.586218i | ||||
\(718\) | 2.39245e12 | + | 1.15215e12i | 0.335957 | + | 0.161788i | ||||
\(719\) | 3.18355e12 | − | 3.99204e12i | 0.444254 | − | 0.557077i | −0.508405 | − | 0.861118i | \(-0.669765\pi\) |
0.952659 | + | 0.304041i | \(0.0983361\pi\) | |||||||
\(720\) | −5.44871e10 | + | 2.38724e11i | −0.00755609 | + | 0.0331054i | ||||
\(721\) | 1.41329e11 | − | 6.80604e10i | 0.0194770 | − | 0.00937963i | ||||
\(722\) | −3.31415e11 | + | 1.45202e12i | −0.0453894 | + | 0.198864i | ||||
\(723\) | −9.08440e12 | − | 4.37482e12i | −1.23644 | − | 0.595439i | ||||
\(724\) | −2.64860e11 | −0.0358255 | ||||||||
\(725\) | 2.77140e12 | 0.372544 | ||||||||
\(726\) | −1.04612e13 | − | 5.03784e12i | −1.39755 | − | 0.673023i | ||||
\(727\) | −5.73397e11 | − | 2.51222e12i | −0.0761291 | − | 0.333544i | 0.922493 | − | 0.386013i | \(-0.126148\pi\) |
−0.998623 | + | 0.0524693i | \(0.983291\pi\) | |||||||
\(728\) | 1.20901e11 | + | 1.51605e11i | 0.0159528 | + | 0.0200042i | ||||
\(729\) | 4.96029e12 | − | 6.22001e12i | 0.650479 | − | 0.815675i | ||||
\(730\) | −6.37102e12 | −0.830341 | ||||||||
\(731\) | −8.34172e12 | − | 4.13583e12i | −1.08051 | − | 0.535716i | ||||
\(732\) | −2.42752e12 | −0.312510 | ||||||||
\(733\) | 4.12300e12 | − | 5.17008e12i | 0.527528 | − | 0.661499i | −0.444661 | − | 0.895699i | \(-0.646676\pi\) |
0.972188 | + | 0.234200i | \(0.0752472\pi\) | |||||||
\(734\) | 2.87627e12 | + | 3.60673e12i | 0.365762 | + | 0.458651i | ||||
\(735\) | −1.04590e12 | − | 4.58238e12i | −0.132189 | − | 0.579160i | ||||
\(736\) | 4.08058e12 | + | 1.96510e12i | 0.512592 | + | 0.246851i | ||||
\(737\) | −1.70167e13 | −2.12457 | ||||||||
\(738\) | −4.53354e11 | −0.0562579 | ||||||||
\(739\) | −9.21123e12 | − | 4.43590e12i | −1.13610 | − | 0.547119i | −0.231272 | − | 0.972889i | \(-0.574289\pi\) |
−0.904831 | + | 0.425770i | \(0.860003\pi\) | |||||||
\(740\) | 3.89086e10 | − | 1.70470e11i | 0.00476983 | − | 0.0208980i | ||||
\(741\) | 6.66816e12 | − | 3.21122e12i | 0.812502 | − | 0.391280i | ||||
\(742\) | 6.54345e10 | − | 2.86687e11i | 0.00792481 | − | 0.0347209i | ||||
\(743\) | −8.24534e12 | + | 1.03393e13i | −0.992564 | + | 1.24464i | −0.0230163 | + | 0.999735i | \(0.507327\pi\) |
−0.969548 | + | 0.244901i | \(0.921244\pi\) | |||||||
\(744\) | −9.05592e12 | − | 4.36110e12i | −1.08356 | − | 0.521817i | ||||
\(745\) | 9.77592e11 | − | 1.22586e12i | 0.116266 | − | 0.145793i | ||||
\(746\) | −6.14060e11 | − | 2.69037e12i | −0.0725915 | − | 0.318044i | ||||
\(747\) | −2.74611e11 | + | 1.32246e11i | −0.0322683 | + | 0.0155396i | ||||
\(748\) | 2.93177e12 | − | 1.41187e12i | 0.342431 | − | 0.164906i | ||||
\(749\) | −3.43125e10 | − | 4.30265e10i | −0.00398367 | − | 0.00499537i | ||||
\(750\) | 2.04643e12 | + | 8.96598e12i | 0.236168 | + | 1.03472i | ||||
\(751\) | 1.77219e11 | − | 7.76449e11i | 0.0203297 | − | 0.0890703i | −0.963745 | − | 0.266824i | \(-0.914026\pi\) |
0.984075 | + | 0.177753i | \(0.0568830\pi\) | |||||||
\(752\) | 6.72214e12 | + | 8.42930e12i | 0.766527 | + | 0.961195i | ||||
\(753\) | 6.73104e12 | + | 8.44046e12i | 0.762966 | + | 0.956729i | ||||
\(754\) | 1.31407e12 | − | 5.75732e12i | 0.148063 | − | 0.648708i | ||||
\(755\) | −1.73449e12 | − | 7.59932e12i | −0.194273 | − | 0.851164i | ||||
\(756\) | −3.28878e10 | − | 4.12400e10i | −0.00366173 | − | 0.00459167i | ||||
\(757\) | −1.44320e13 | + | 6.95006e12i | −1.59733 | + | 0.769232i | −0.999476 | − | 0.0323757i | \(-0.989693\pi\) |
−0.597851 | + | 0.801608i | \(0.703978\pi\) | |||||||
\(758\) | −1.31476e13 | + | 6.33156e12i | −1.44656 | + | 0.696625i | ||||
\(759\) | 4.45447e12 | + | 1.95163e13i | 0.487201 | + | 2.13457i | ||||
\(760\) | −2.75957e12 | + | 3.46039e12i | −0.300040 | + | 0.376239i | ||||
\(761\) | −1.33600e13 | − | 6.43385e12i | −1.44403 | − | 0.695408i | −0.462483 | − | 0.886628i | \(-0.653041\pi\) |
−0.981547 | + | 0.191220i | \(0.938755\pi\) | |||||||
\(762\) | −5.50120e12 | + | 6.89828e12i | −0.591098 | + | 0.741214i | ||||
\(763\) | −7.14174e10 | + | 3.12900e11i | −0.00762857 | + | 0.0334230i | ||||
\(764\) | −4.25232e11 | + | 2.04781e11i | −0.0451550 | + | 0.0217455i | ||||
\(765\) | 7.43661e10 | − | 3.25819e11i | 0.00785052 | − | 0.0343954i | ||||
\(766\) | 8.38358e12 | + | 4.03732e12i | 0.879833 | + | 0.423705i | ||||
\(767\) | 5.95443e12 | 0.621242 | ||||||||
\(768\) | −5.46648e12 | −0.566999 | ||||||||
\(769\) | −8.15104e12 | − | 3.92533e12i | −0.840513 | − | 0.404770i | −0.0364658 | − | 0.999335i | \(-0.511610\pi\) |
−0.804048 | + | 0.594565i | \(0.797324\pi\) | |||||||
\(770\) | 6.47424e10 | + | 2.83655e11i | 0.00663714 | + | 0.0290792i | ||||
\(771\) | −2.34598e12 | − | 2.94176e12i | −0.239100 | − | 0.299821i | ||||
\(772\) | −9.09515e11 | + | 1.14050e12i | −0.0921578 | + | 0.115562i | ||||
\(773\) | 6.20430e12 | 0.625008 | 0.312504 | − | 0.949917i | \(-0.398832\pi\) | ||||
0.312504 | + | 0.949917i | \(0.398832\pi\) | |||||||
\(774\) | −1.22782e11 | + | 5.10831e11i | −0.0122971 | + | 0.0511615i | ||||
\(775\) | 8.89049e12 | 0.885254 | ||||||||
\(776\) | 9.92490e12 | − | 1.24454e13i | 0.982535 | − | 1.23206i | ||||
\(777\) | −3.08120e10 | − | 3.86370e10i | −0.00303267 | − | 0.00380285i | ||||
\(778\) | 3.17300e12 | + | 1.39018e13i | 0.310501 | + | 1.36039i | ||||
\(779\) | −8.93218e12 | − | 4.30151e12i | −0.869038 | − | 0.418507i | ||||
\(780\) | 1.26766e12 | 0.122624 | ||||||||
\(781\) | 1.66380e13 | 1.60019 | ||||||||
\(782\) | −1.78533e13 | − | 8.59771e12i | −1.70722 | − | 0.822152i | ||||
\(783\) | 1.41813e12 | − | 6.21322e12i | 0.134830 | − | 0.590729i | ||||
\(784\) | −1.10543e13 | + | 5.32348e12i | −1.04498 | + | 0.503238i | ||||
\(785\) | 5.03859e11 | − | 2.20755e12i | 0.0473582 | − | 0.207490i | ||||
\(786\) | 5.46173e12 | − | 6.84879e12i | 0.510421 | − | 0.640048i | ||||
\(787\) | 1.12434e13 | + | 5.41454e12i | 1.04475 | + | 0.503124i | 0.875887 | − | 0.482516i | \(-0.160277\pi\) |
0.168861 | + | 0.985640i | \(0.445991\pi\) | |||||||
\(788\) | 7.32542e11 | − | 9.18579e11i | 0.0676807 | − | 0.0848689i | ||||
\(789\) | −9.06919e11 | − | 3.97347e12i | −0.0833148 | − | 0.365026i | ||||
\(790\) | 6.38064e12 | − | 3.07275e12i | 0.582830 | − | 0.280676i | ||||
\(791\) | −4.66902e10 | + | 2.24848e10i | −0.00424064 | + | 0.00204219i | ||||
\(792\) | 4.54183e11 | + | 5.69528e11i | 0.0410174 | + | 0.0514341i | ||||
\(793\) | 4.03903e12 | + | 1.76961e13i | 0.362700 | + | 1.58909i | ||||
\(794\) | 4.06413e12 | − | 1.78061e13i | 0.362890 | − | 1.58993i | ||||
\(795\) | 4.75508e12 | + | 5.96268e12i | 0.422187 | + | 0.529406i | ||||
\(796\) | 5.32268e11 | + | 6.67442e11i | 0.0469917 | + | 0.0589257i | ||||
\(797\) | −3.17719e12 | + | 1.39202e13i | −0.278921 | + | 1.22203i | 0.620240 | + | 0.784412i | \(0.287035\pi\) |
−0.899161 | + | 0.437619i | \(0.855822\pi\) | |||||||
\(798\) | −7.01628e10 | − | 3.07403e11i | −0.00612483 | − | 0.0268346i | ||||
\(799\) | −9.17465e12 | − | 1.15046e13i | −0.796396 | − | 0.998648i | ||||
\(800\) | 2.60450e12 | − | 1.25426e12i | 0.224812 | − | 0.108264i | ||||
\(801\) | 6.57077e11 | − | 3.16432e11i | 0.0563988 | − | 0.0271602i | ||||
\(802\) | 1.57633e12 | + | 6.90637e12i | 0.134544 | + | 0.589475i | ||||
\(803\) | −1.42968e13 | + | 1.79276e13i | −1.21344 | + | 1.52161i | ||||
\(804\) | 2.84583e12 | + | 1.37048e12i | 0.240191 | + | 0.115670i | ||||
\(805\) | 1.85123e11 | − | 2.32138e11i | 0.0155375 | − | 0.0194834i | ||||
\(806\) | 4.21547e12 | − | 1.84692e13i | 0.351834 | − | 1.54149i | ||||
\(807\) | 8.73513e12 | − | 4.20662e12i | 0.725001 | − | 0.349142i | ||||
\(808\) | 7.47518e11 | − | 3.27509e12i | 0.0616979 | − | 0.270316i | ||||
\(809\) | −6.01331e11 | − | 2.89586e11i | −0.0493566 | − | 0.0237689i | 0.409043 | − | 0.912515i | \(-0.365863\pi\) |
−0.458399 | + | 0.888746i | \(0.651577\pi\) | |||||||
\(810\) | 7.77061e12 | 0.634268 | ||||||||
\(811\) | 5.12312e12 | 0.415854 | 0.207927 | − | 0.978144i | \(-0.433328\pi\) | ||||
0.207927 | + | 0.978144i | \(0.433328\pi\) | |||||||
\(812\) | −3.79859e10 | − | 1.82931e10i | −0.00306634 | − | 0.00147667i | ||||
\(813\) | −2.00722e12 | − | 8.79419e12i | −0.161134 | − | 0.705973i | ||||
\(814\) | −2.34142e12 | − | 2.93605e12i | −0.186926 | − | 0.234398i | ||||
\(815\) | 8.53329e12 | − | 1.07004e13i | 0.677497 | − | 0.849554i | ||||
\(816\) | 1.72994e13 | 1.36592 | ||||||||
\(817\) | −7.26598e12 | + | 8.89964e12i | −0.570552 | + | 0.698833i | ||||
\(818\) | 1.51972e12 | 0.118679 | ||||||||
\(819\) | −1.12648e10 | + | 1.41256e10i | −0.000874874 | + | 0.00109706i | ||||
\(820\) | −1.05872e12 | − | 1.32760e12i | −0.0817749 | − | 0.102542i | ||||
\(821\) | 4.66037e12 | + | 2.04184e13i | 0.357994 | + | 1.56847i | 0.758183 | + | 0.652042i | \(0.226087\pi\) |
−0.400189 | + | 0.916433i | \(0.631055\pi\) | |||||||
\(822\) | −1.53076e13 | − | 7.37173e12i | −1.16945 | − | 0.563179i | ||||
\(823\) | 8.29775e12 | 0.630465 | 0.315232 | − | 0.949015i | \(-0.397918\pi\) | ||||
0.315232 | + | 0.949015i | \(0.397918\pi\) | |||||||
\(824\) | 8.77798e12 | 0.663319 | ||||||||
\(825\) | 1.15116e13 | + | 5.54372e12i | 0.865157 | + | 0.416638i | ||||
\(826\) | 5.64483e10 | − | 2.47316e11i | 0.00421930 | − | 0.0184860i | ||||
\(827\) | 1.52677e13 | − | 7.35253e12i | 1.13501 | − | 0.546590i | 0.230509 | − | 0.973070i | \(-0.425961\pi\) |
0.904497 | + | 0.426480i | \(0.140246\pi\) | |||||||
\(828\) | −4.16961e10 | + | 1.82683e11i | −0.00308290 | + | 0.0135071i | ||||
\(829\) | −4.66198e11 | + | 5.84594e11i | −0.0342827 | + | 0.0429892i | −0.798677 | − | 0.601760i | \(-0.794467\pi\) |
0.764395 | + | 0.644749i | \(0.223038\pi\) | |||||||
\(830\) | −6.13774e12 | − | 2.95578e12i | −0.448908 | − | 0.216183i | ||||
\(831\) | −4.77896e12 | + | 5.99263e12i | −0.347639 | + | 0.435926i | ||||
\(832\) | 2.28689e12 | + | 1.00195e13i | 0.165459 | + | 0.724924i | ||||
\(833\) | 1.50874e13 | − | 7.26569e12i | 1.08570 | − | 0.522847i | ||||
\(834\) | −3.10478e12 | + | 1.49518e12i | −0.222220 | + | 0.107016i | ||||
\(835\) | −1.15153e12 | − | 1.44397e12i | −0.0819756 | − | 0.102794i | ||||
\(836\) | −8.93495e11 | − | 3.91466e12i | −0.0632651 | − | 0.277182i | ||||
\(837\) | 4.54927e12 | − | 1.99316e13i | 0.320389 | − | 1.40371i | ||||
\(838\) | −7.89383e12 | − | 9.89855e12i | −0.552955 | − | 0.693383i | ||||
\(839\) | 4.03761e12 | + | 5.06301e12i | 0.281317 | + | 0.352760i | 0.902335 | − | 0.431036i | \(-0.141852\pi\) |
−0.621018 | + | 0.783797i | \(0.713280\pi\) | |||||||
\(840\) | −4.76763e10 | + | 2.08884e11i | −0.00330405 | + | 0.0144760i | ||||
\(841\) | 2.09464e12 | + | 9.17722e12i | 0.144387 | + | 0.632600i | ||||
\(842\) | −1.58353e13 | − | 1.98569e13i | −1.08573 | − | 1.36147i | ||||
\(843\) | 2.47414e12 | − | 1.19148e12i | 0.168733 | − | 0.0812576i | ||||
\(844\) | 4.08998e12 | − | 1.96963e12i | 0.277447 | − | 0.133612i | ||||
\(845\) | −9.96836e10 | − | 4.36743e11i | −0.00672618 | − | 0.0294693i | ||||
\(846\) | −5.17702e11 | + | 6.49178e11i | −0.0347467 | + | 0.0435710i | ||||
\(847\) | 5.58456e11 | + | 2.68938e11i | 0.0372832 | + | 0.0179546i | ||||
\(848\) | 1.24125e13 | − | 1.55648e13i | 0.824288 | − | 1.03362i | ||||
\(849\) | −9.01540e11 | + | 3.94991e12i | −0.0595526 | + | 0.260917i | ||||
\(850\) | −1.13952e13 | + | 5.48764e12i | −0.748749 | + | 0.360579i | ||||
\(851\) | −8.52777e11 | + | 3.73626e12i | −0.0557381 | + | 0.244205i | ||||
\(852\) | −2.78249e12 | − | 1.33998e12i | −0.180907 | − | 0.0871202i | ||||
\(853\) | 1.53605e13 | 0.993424 | 0.496712 | − | 0.867915i | \(-0.334540\pi\) | ||||
0.496712 | + | 0.867915i | \(0.334540\pi\) | |||||||
\(854\) | 7.73296e11 | 0.0497491 | ||||||||
\(855\) | −3.71548e11 | − | 1.78928e11i | −0.0237776 | − | 0.0114507i | ||||
\(856\) | −6.85279e11 | − | 3.00240e12i | −0.0436250 | − | 0.191134i | ||||
\(857\) | −1.05541e13 | − | 1.32344e13i | −0.668355 | − | 0.838091i | 0.325869 | − | 0.945415i | \(-0.394343\pi\) |
−0.994224 | + | 0.107324i | \(0.965772\pi\) | |||||||
\(858\) | 1.69749e13 | − | 2.12858e13i | 1.06933 | − | 1.34090i | ||||
\(859\) | 1.32502e13 | 0.830335 | 0.415168 | − | 0.909745i | \(-0.363723\pi\) | ||||
0.415168 | + | 0.909745i | \(0.363723\pi\) | |||||||
\(860\) | −1.78265e12 | + | 8.33396e11i | −0.111128 | + | 0.0519527i | ||||
\(861\) | −4.79919e11 | −0.0297614 | ||||||||
\(862\) | −1.83413e13 | + | 2.29992e13i | −1.13148 | + | 1.41883i | ||||
\(863\) | −3.89006e12 | − | 4.87798e12i | −0.238730 | − | 0.299358i | 0.648005 | − | 0.761636i | \(-0.275604\pi\) |
−0.886735 | + | 0.462278i | \(0.847032\pi\) | |||||||
\(864\) | −1.47921e12 | − | 6.48085e12i | −0.0903064 | − | 0.395658i | ||||
\(865\) | 8.80998e12 | + | 4.24266e12i | 0.535060 | + | 0.257671i | ||||
\(866\) | 1.46792e13 | 0.886894 | ||||||||
\(867\) | −7.37773e12 | −0.443442 | ||||||||
\(868\) | −1.21857e11 | − | 5.86831e10i | −0.00728636 | − | 0.00350893i | ||||
\(869\) | 5.67186e12 | − | 2.48501e13i | 0.337393 | − | 1.47822i | ||||
\(870\) | 5.87882e12 | − | 2.83109e12i | 0.347899 | − | 0.167539i | ||||
\(871\) | 5.25548e12 | − | 2.30257e13i | 0.309407 | − | 1.35560i | ||||
\(872\) | −1.11979e13 | + | 1.40417e13i | −0.655861 | + | 0.822424i | ||||
\(873\) | 1.33629e12 | + | 6.43522e11i | 0.0778639 | + | 0.0374973i | ||||
\(874\) | −1.52454e13 | + | 1.91172e13i | −0.883768 | + | 1.10821i | ||||
\(875\) | −1.09246e11 | − | 4.78636e11i | −0.00630039 | − | 0.0276038i | ||||
\(876\) | 3.83480e12 | − | 1.84674e12i | 0.220026 | − | 0.105959i | ||||
\(877\) | −3.00797e13 | + | 1.44856e13i | −1.71702 | + | 0.826873i | −0.726884 | + | 0.686760i | \(0.759032\pi\) |
−0.990136 | + | 0.140113i | \(0.955254\pi\) | |||||||
\(878\) | −6.72534e12 | − | 8.43331e12i | −0.381934 | − | 0.478931i | ||||
\(879\) | 4.49399e12 | + | 1.96895e13i | 0.253911 | + | 1.11246i | ||||
\(880\) | −4.38313e12 | + | 1.92038e13i | −0.246384 | + | 1.07948i | ||||
\(881\) | −6.63351e12 | − | 8.31815e12i | −0.370981 | − | 0.465195i | 0.560940 | − | 0.827856i | \(-0.310440\pi\) |
−0.931921 | + | 0.362661i | \(0.881868\pi\) | |||||||
\(882\) | −5.89147e11 | − | 7.38767e11i | −0.0327805 | − | 0.0411054i | ||||
\(883\) | −3.54699e12 | + | 1.55404e13i | −0.196353 | + | 0.860278i | 0.776732 | + | 0.629831i | \(0.216876\pi\) |
−0.973085 | + | 0.230447i | \(0.925981\pi\) | |||||||
\(884\) | 1.00498e12 | + | 4.40310e12i | 0.0553506 | + | 0.242507i | ||||
\(885\) | 4.10206e12 | + | 5.14382e12i | 0.224780 | + | 0.281865i | ||||
\(886\) | 2.24653e13 | − | 1.08187e13i | 1.22479 | − | 0.589827i | ||||
\(887\) | −2.35363e12 | + | 1.13345e12i | −0.127668 | + | 0.0614816i | −0.496627 | − | 0.867964i | \(-0.665428\pi\) |
0.368959 | + | 0.929446i | \(0.379714\pi\) | |||||||
\(888\) | −6.15368e11 | − | 2.69610e12i | −0.0332106 | − | 0.145505i | ||||
\(889\) | 2.93673e11 | − | 3.68255e11i | 0.0157691 | − | 0.0197738i | ||||
\(890\) | 1.46861e13 | + | 7.07246e12i | 0.784606 | + | 0.377846i | ||||
\(891\) | 1.74375e13 | − | 2.18660e13i | 0.926905 | − | 1.16230i | ||||
\(892\) | 3.23795e11 | − | 1.41864e12i | 0.0171249 | − | 0.0750291i | ||||
\(893\) | −1.63595e13 | + | 7.87833e12i | −0.860873 | + | 0.414575i | ||||
\(894\) | −1.39091e12 | + | 6.09395e12i | −0.0728247 | + | 0.319066i | ||||
\(895\) | −6.51379e10 | − | 3.13688e10i | −0.00339336 | − | 0.00163416i | ||||
\(896\) | 6.56286e11 | 0.0340179 | ||||||||
\(897\) | −2.77838e13 | −1.43293 | ||||||||
\(898\) | −1.59446e13 | − | 7.67850e12i | −0.818219 | − | 0.394033i | ||||
\(899\) | −3.63621e12 | − | 1.59313e13i | −0.185665 | − | 0.813453i | ||||
\(900\) | 7.45688e10 | + | 9.35063e10i | 0.00378849 | + | 0.00475061i | ||||
\(901\) | −1.69411e13 | + | 2.12435e13i | −0.856407 | + | 1.07390i | ||||
\(902\) | −3.64694e13 | −1.83442 | ||||||||
\(903\) | −1.29977e11 | + | 5.40765e11i | −0.00650537 | + | 0.0270653i | ||||
\(904\) | −2.89995e12 | −0.144422 | ||||||||
\(905\) | −1.36433e12 | + | 1.71082e12i | −0.0676085 | + | 0.0847784i | ||||
\(906\) | 1.93745e13 | + | 2.42948e13i | 0.955329 | + | 1.19794i | ||||
\(907\) | −3.14860e12 | − | 1.37949e13i | −0.154484 | − | 0.676840i | −0.991549 | − | 0.129735i | \(-0.958587\pi\) |
0.837064 | − | 0.547104i | \(-0.184270\pi\) | |||||||
\(908\) | 4.44260e12 | + | 2.13944e12i | 0.216895 | + | 0.104451i | ||||
\(909\) | 3.13000e11 | 0.0152057 | ||||||||
\(910\) | −4.03817e11 | −0.0195208 | ||||||||
\(911\) | −2.60382e13 | − | 1.25394e13i | −1.25250 | − | 0.603174i | −0.314321 | − | 0.949317i | \(-0.601777\pi\) |
−0.938182 | + | 0.346143i | \(0.887491\pi\) | |||||||
\(912\) | 4.75010e12 | − | 2.08115e13i | 0.227366 | − | 0.996156i | ||||
\(913\) | −2.20907e13 | + | 1.06383e13i | −1.05218 | + | 0.506704i | ||||
\(914\) | −4.88695e12 | + | 2.14111e13i | −0.231622 | + | 1.01480i | ||||
\(915\) | −1.25045e13 | + | 1.56802e13i | −0.589756 | + | 0.739531i | ||||
\(916\) | −4.20479e12 | − | 2.02492e12i | −0.197340 | − | 0.0950338i | ||||
\(917\) | −2.91566e11 | + | 3.65613e11i | −0.0136168 | + | 0.0170749i | ||||
\(918\) | 6.47184e12 | + | 2.83550e13i | 0.300771 | + | 1.31776i | ||||
\(919\) | 5.05457e12 | − | 2.43415e12i | 0.233757 | − | 0.112571i | −0.313339 | − | 0.949641i | \(-0.601448\pi\) |
0.547096 | + | 0.837070i | \(0.315733\pi\) | |||||||
\(920\) | 1.49698e13 | − | 7.20907e12i | 0.688923 | − | 0.331768i | ||||
\(921\) | 1.55749e13 | + | 1.95303e13i | 0.713275 | + | 0.894418i | ||||
\(922\) | 5.89887e12 | + | 2.58447e13i | 0.268831 | + | 1.17783i | ||||
\(923\) | −5.13851e12 | + | 2.25133e13i | −0.233040 | + | 1.02101i | ||||
\(924\) | −1.21191e11 | − | 1.51969e11i | −0.00546950 | − | 0.00685853i | ||||
\(925\) | 1.52509e12 | + | 1.91241e12i | 0.0684949 | + | 0.0858899i | ||||
\(926\) | −1.35333e12 | + | 5.92935e12i | −0.0604861 | + | 0.265007i | ||||
\(927\) | 1.81995e11 | + | 7.97372e11i | 0.00809470 | + | 0.0354652i | ||||
\(928\) | −3.31281e12 | − | 4.15413e12i | −0.146633 | − | 0.183872i | ||||
\(929\) | −7.79572e12 | + | 3.75422e12i | −0.343388 | + | 0.165367i | −0.597627 | − | 0.801774i | \(-0.703890\pi\) |
0.254238 | + | 0.967142i | \(0.418175\pi\) | |||||||
\(930\) | 1.88589e13 | − | 9.08197e12i | 0.826691 | − | 0.398114i | ||||
\(931\) | −4.59807e12 | − | 2.01455e13i | −0.200587 | − | 0.878827i | ||||
\(932\) | −5.18726e12 | + | 6.50461e12i | −0.225199 | + | 0.282390i | ||||
\(933\) | 1.45137e13 | + | 6.98945e12i | 0.627064 | + | 0.301978i | ||||
\(934\) | 2.61411e13 | − | 3.27799e13i | 1.12399 | − | 1.40944i | ||||
\(935\) | 5.98227e12 | − | 2.62100e13i | 0.255985 | − | 1.12154i | ||||
\(936\) | −9.10914e11 | + | 4.38673e11i | −0.0387914 | + | 0.0186810i | ||||
\(937\) | 3.16081e12 | − | 1.38484e13i | 0.133958 | − | 0.586910i | −0.862735 | − | 0.505656i | \(-0.831250\pi\) |
0.996693 | − | 0.0812539i | \(-0.0258925\pi\) | |||||||
\(938\) | −9.06548e11 | − | 4.36570e11i | −0.0382365 | − | 0.0184137i | ||||
\(939\) | −1.62412e13 | −0.681747 | ||||||||
\(940\) | −3.11004e12 | −0.129924 | ||||||||
\(941\) | −1.69479e13 | − | 8.16167e12i | −0.704632 | − | 0.339333i | 0.0470192 | − | 0.998894i | \(-0.485028\pi\) |
−0.751651 | + | 0.659561i | \(0.770742\pi\) | |||||||
\(942\) | 2.00866e12 | + | 8.80053e12i | 0.0831148 | + | 0.364150i | ||||
\(943\) | 2.32045e13 | + | 2.90975e13i | 0.955584 | + | 1.19826i | ||||
\(944\) | 1.07079e13 | − | 1.34273e13i | 0.438865 | − | 0.550319i | ||||
\(945\) | −4.35793e11 | −0.0177761 | ||||||||
\(946\) | −9.87705e12 | + | 4.10931e13i | −0.400975 | + | 1.66824i | ||||
\(947\) | −1.11517e13 | −0.450573 | −0.225286 | − | 0.974293i | \(-0.572332\pi\) | ||||
−0.225286 | + | 0.974293i | \(0.572332\pi\) | |||||||
\(948\) | −2.94990e12 | + | 3.69906e12i | −0.118623 | + | 0.148749i | ||||
\(949\) | −1.98429e13 | − | 2.48822e13i | −0.794158 | − | 0.995843i | ||||
\(950\) | 3.47283e12 | + | 1.52155e13i | 0.138334 | + | 0.606079i | ||||
\(951\) | 1.34148e13 | + | 6.46021e12i | 0.531827 | + | 0.256115i | ||||
\(952\) | −7.63337e11 | −0.0301197 | ||||||||
\(953\) | 1.60819e13 | 0.631568 | 0.315784 | − | 0.948831i | \(-0.397733\pi\) | ||||
0.315784 | + | 0.948831i | \(0.397733\pi\) | |||||||
\(954\) | 1.38138e12 | + | 6.65237e11i | 0.0539940 | + | 0.0260021i | ||||
\(955\) | −8.67685e11 | + | 3.80158e12i | −0.0337557 | + | 0.147893i | ||||
\(956\) | −3.59983e12 | + | 1.73359e12i | −0.139387 | + | 0.0671252i | ||||
\(957\) | 5.22578e12 | − | 2.28957e13i | 0.201395 | − | 0.882367i | ||||
\(958\) | 1.75237e13 | − | 2.19740e13i | 0.672173 | − | 0.842878i | ||||
\(959\) | 8.17172e11 | + | 3.93529e11i | 0.0311982 | + | 0.0150243i | ||||
\(960\) | −7.08005e12 | + | 8.87810e12i | −0.269039 | + | 0.337365i | ||||
\(961\) | −5.78140e12 | − | 2.53299e13i | −0.218664 | − | 0.958030i | ||||
\(962\) | 4.69598e12 | − | 2.26146e12i | 0.176782 | − | 0.0851338i | ||||
\(963\) | 2.58524e11 | − | 1.24498e11i | 0.00968683 | − | 0.00466493i | ||||
\(964\) | −4.73376e12 | − | 5.93595e12i | −0.176547 | − | 0.221383i | ||||
\(965\) | 2.68180e12 | + | 1.17497e13i | 0.0995527 | + | 0.436169i | ||||
\(966\) | −2.63391e11 | + | 1.15399e12i | −0.00973205 | + | 0.0426389i | ||||
\(967\) | −2.28196e13 | − | 2.86149e13i | −0.839246 | − | 1.05238i | −0.997882 | − | 0.0650445i | \(-0.979281\pi\) |
0.158636 | − | 0.987337i | \(-0.449290\pi\) | |||||||
\(968\) | 2.16263e13 | + | 2.71185e13i | 0.791668 | + | 0.992720i | ||||
\(969\) | −6.48312e12 | + | 2.84044e13i | −0.236226 | + | 1.03497i | ||||
\(970\) | 7.37652e12 | + | 3.23187e13i | 0.267534 | + | 1.17214i | ||||
\(971\) | −1.63809e13 | − | 2.05410e13i | −0.591360 | − | 0.741543i | 0.392643 | − | 0.919691i | \(-0.371561\pi\) |
−0.984004 | + | 0.178148i | \(0.942989\pi\) | |||||||
\(972\) | 4.84228e11 | − | 2.33192e11i | 0.0174001 | − | 0.00837944i | ||||
\(973\) | 1.65744e11 | − | 7.98182e10i | 0.00592830 | − | 0.00285492i | ||||
\(974\) | −1.29803e13 | − | 5.68704e13i | −0.462135 | − | 2.02475i | ||||
\(975\) | −1.10566e13 | + | 1.38646e13i | −0.391834 | + | 0.491344i | ||||
\(976\) | 4.71684e13 | + | 2.27151e13i | 1.66390 | + | 0.801291i | ||||
\(977\) | −1.30759e12 | + | 1.63967e12i | −0.0459143 | + | 0.0575746i | −0.804258 | − | 0.594280i | \(-0.797437\pi\) |
0.758344 | + | 0.651854i | \(0.226009\pi\) | |||||||
\(978\) | −1.21411e13 | + | 5.31934e13i | −0.424357 | + | 1.85923i | ||||
\(979\) | 5.28576e13 | − | 2.54549e13i | 1.83901 | − | 0.885622i | ||||
\(980\) | 7.87555e11 | − | 3.45050e12i | 0.0272749 | − | 0.119499i | ||||
\(981\) | −1.50768e12 | − | 7.26062e11i | −0.0519756 | − | 0.0250301i | ||||
\(982\) | −2.58566e13 | −0.887300 | ||||||||
\(983\) | −4.43958e13 | −1.51653 | −0.758265 | − | 0.651947i | \(-0.773953\pi\) | ||||
−0.758265 | + | 0.651947i | \(0.773953\pi\) | |||||||
\(984\) | −2.41965e13 | − | 1.16524e13i | −0.822761 | − | 0.396221i | ||||
\(985\) | −2.15998e12 | − | 9.46347e12i | −0.0731115 | − | 0.320322i | ||||
\(986\) | 1.44942e13 | + | 1.81751e13i | 0.488369 | + | 0.612395i | ||||
\(987\) | −5.48038e11 | + | 6.87218e11i | −0.0183816 | + | 0.0230498i | ||||
\(988\) | 5.57298e12 | 0.186072 | ||||||||
\(989\) | 3.90710e13 | − | 1.82659e13i | 1.29859 | − | 0.607096i | ||||
\(990\) | −1.51700e12 | −0.0501912 | ||||||||
\(991\) | −5.93833e12 | + | 7.44643e12i | −0.195584 | + | 0.245254i | −0.869947 | − | 0.493146i | \(-0.835847\pi\) |
0.674363 | + | 0.738400i | \(0.264418\pi\) | |||||||
\(992\) | −1.06273e13 | − | 1.33262e13i | −0.348434 | − | 0.436923i | ||||
\(993\) | 8.06492e12 | + | 3.53347e13i | 0.263226 | + | 1.15327i | ||||
\(994\) | 8.86372e11 | + | 4.26854e11i | 0.0287990 | + | 0.0138689i | ||||
\(995\) | 7.05302e12 | 0.228124 | ||||||||
\(996\) | 4.55116e12 | 0.146540 | ||||||||
\(997\) | −1.12520e12 | − | 5.41870e11i | −0.0360664 | − | 0.0173687i | 0.415764 | − | 0.909473i | \(-0.363514\pi\) |
−0.451830 | + | 0.892104i | \(0.649229\pi\) | |||||||
\(998\) | 1.06074e13 | − | 4.64741e13i | 0.338471 | − | 1.48294i | ||||
\(999\) | 5.06783e12 | − | 2.44054e12i | 0.160982 | − | 0.0775248i |
(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 | 43.10.e.a.4.9 | ✓ | 192 | |
43.11 | even | 7 | inner | 43.10.e.a.11.9 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.e.a.4.9 | ✓ | 192 | 1.1 | even | 1 | trivial | |
43.10.e.a.11.9 | yes | 192 | 43.11 | even | 7 | inner |