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 | 4.4 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.10.e.a.11.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −24.3918 | + | 30.5863i | −1.07798 | + | 1.35174i | −0.145972 | + | 0.989289i | \(0.546631\pi\) |
−0.932003 | + | 0.362450i | \(0.881940\pi\) | |||||||
\(3\) | 35.3753 | + | 44.3592i | 0.252147 | + | 0.316183i | 0.891755 | − | 0.452519i | \(-0.149475\pi\) |
−0.639608 | + | 0.768702i | \(0.720903\pi\) | |||||||
\(4\) | −226.634 | − | 992.949i | −0.442645 | − | 1.93935i | ||||
\(5\) | 417.253 | + | 200.939i | 0.298562 | + | 0.143780i | 0.577168 | − | 0.816626i | \(-0.304158\pi\) |
−0.278605 | + | 0.960406i | \(0.589872\pi\) | |||||||
\(6\) | −2219.65 | −0.699205 | ||||||||
\(7\) | 5951.78 | 0.936926 | 0.468463 | − | 0.883483i | \(-0.344808\pi\) | ||||
0.468463 | + | 0.883483i | \(0.344808\pi\) | |||||||
\(8\) | 17852.1 | + | 8597.14i | 1.54094 | + | 0.742077i | ||||
\(9\) | 3663.55 | − | 16051.1i | 0.186128 | − | 0.815479i | ||||
\(10\) | −16323.5 | + | 7861.00i | −0.516196 | + | 0.248587i | ||||
\(11\) | −13517.2 | + | 59222.6i | −0.278368 | + | 1.21961i | 0.621489 | + | 0.783423i | \(0.286528\pi\) |
−0.899857 | + | 0.436186i | \(0.856329\pi\) | |||||||
\(12\) | 36029.2 | − | 45179.1i | 0.501578 | − | 0.628959i | ||||
\(13\) | −68947.9 | − | 33203.5i | −0.669539 | − | 0.322433i | 0.0680511 | − | 0.997682i | \(-0.478322\pi\) |
−0.737590 | + | 0.675249i | \(0.764036\pi\) | |||||||
\(14\) | −145175. | + | 182043.i | −1.00998 | + | 1.26648i | ||||
\(15\) | 5846.98 | + | 25617.3i | 0.0298209 | + | 0.130654i | ||||
\(16\) | −228578. | + | 110077.i | −0.871956 | + | 0.419912i | ||||
\(17\) | −584668. | + | 281561.i | −1.69781 | + | 0.817622i | −0.703548 | + | 0.710648i | \(0.748402\pi\) |
−0.994262 | + | 0.106974i | \(0.965884\pi\) | |||||||
\(18\) | 401583. | + | 503569.i | 0.901673 | + | 1.13066i | ||||
\(19\) | 227433. | + | 996450.i | 0.400371 | + | 1.75414i | 0.625900 | + | 0.779903i | \(0.284732\pi\) |
−0.225529 | + | 0.974236i | \(0.572411\pi\) | |||||||
\(20\) | 104958. | − | 459851.i | 0.146683 | − | 0.642661i | ||||
\(21\) | 210546. | + | 264016.i | 0.236243 | + | 0.296240i | ||||
\(22\) | −1.48170e6 | − | 1.85799e6i | −1.34852 | − | 1.69099i | ||||
\(23\) | 153977. | − | 674616.i | 0.114731 | − | 0.502668i | −0.884609 | − | 0.466333i | \(-0.845575\pi\) |
0.999340 | − | 0.0363345i | \(-0.0115682\pi\) | |||||||
\(24\) | 250162. | + | 1.09603e6i | 0.153912 | + | 0.674331i | ||||
\(25\) | −1.08403e6 | − | 1.35933e6i | −0.555023 | − | 0.695977i | ||||
\(26\) | 2.69734e6 | − | 1.29897e6i | 1.15759 | − | 0.557467i | ||||
\(27\) | 1.84778e6 | − | 889845.i | 0.669135 | − | 0.322238i | ||||
\(28\) | −1.34888e6 | − | 5.90981e6i | −0.414726 | − | 1.81703i | ||||
\(29\) | −2.24145e6 | + | 2.81068e6i | −0.588487 | + | 0.737940i | −0.983534 | − | 0.180721i | \(-0.942157\pi\) |
0.395047 | + | 0.918661i | \(0.370728\pi\) | |||||||
\(30\) | −926157. | − | 446014.i | −0.208756 | − | 0.100532i | ||||
\(31\) | 1.14273e6 | − | 1.43294e6i | 0.222237 | − | 0.278677i | −0.658196 | − | 0.752847i | \(-0.728680\pi\) |
0.880434 | + | 0.474170i | \(0.157252\pi\) | |||||||
\(32\) | −48901.9 | + | 214253.i | −0.00824425 | + | 0.0361204i | ||||
\(33\) | −3.10524e6 | + | 1.49541e6i | −0.455809 | + | 0.219506i | ||||
\(34\) | 5.64917e6 | − | 2.47506e7i | 0.724986 | − | 3.17637i | ||||
\(35\) | 2.48340e6 | + | 1.19594e6i | 0.279731 | + | 0.134711i | ||||
\(36\) | −1.67682e7 | −1.66389 | ||||||||
\(37\) | −2.84738e6 | −0.249769 | −0.124884 | − | 0.992171i | \(-0.539856\pi\) | ||||
−0.124884 | + | 0.992171i | \(0.539856\pi\) | |||||||
\(38\) | −3.60253e7 | − | 1.73488e7i | −2.80273 | − | 1.34972i | ||||
\(39\) | −966167. | − | 4.23306e6i | −0.0668747 | − | 0.292997i | ||||
\(40\) | 5.72137e6 | + | 7.17437e6i | 0.353370 | + | 0.443112i | ||||
\(41\) | −7.02559e6 | + | 8.80981e6i | −0.388289 | + | 0.486899i | −0.937107 | − | 0.349043i | \(-0.886507\pi\) |
0.548817 | + | 0.835942i | \(0.315078\pi\) | |||||||
\(42\) | −1.32109e7 | −0.655103 | ||||||||
\(43\) | 1.60160e7 | − | 1.56870e7i | 0.714407 | − | 0.699730i | ||||
\(44\) | 6.18685e7 | 2.48847 | ||||||||
\(45\) | 4.75391e6 | − | 5.96122e6i | 0.172820 | − | 0.216710i | ||||
\(46\) | 1.68783e7 | + | 2.11647e7i | 0.555799 | + | 0.696949i | ||||
\(47\) | 1.38441e6 | + | 6.06549e6i | 0.0413832 | + | 0.181312i | 0.991395 | − | 0.130901i | \(-0.0417870\pi\) |
−0.950012 | + | 0.312213i | \(0.898930\pi\) | |||||||
\(48\) | −1.29690e7 | − | 6.24552e6i | −0.352630 | − | 0.169818i | ||||
\(49\) | −4.92996e6 | −0.122169 | ||||||||
\(50\) | 6.80184e7 | 1.53908 | ||||||||
\(51\) | −3.31726e7 | − | 1.59751e7i | −0.686616 | − | 0.330657i | ||||
\(52\) | −1.73435e7 | + | 7.59868e7i | −0.328943 | + | 1.44120i | ||||
\(53\) | −9.12873e7 | + | 4.39617e7i | −1.58917 | + | 0.765302i | −0.999115 | − | 0.0420643i | \(-0.986607\pi\) |
−0.590051 | + | 0.807366i | \(0.700892\pi\) | |||||||
\(54\) | −1.78536e7 | + | 7.82218e7i | −0.285729 | + | 1.25186i | ||||
\(55\) | −1.75402e7 | + | 2.19947e7i | −0.258465 | + | 0.324105i | ||||
\(56\) | 1.06252e8 | + | 5.11683e7i | 1.44375 | + | 0.695272i | ||||
\(57\) | −3.61562e7 | + | 4.53384e7i | −0.453676 | + | 0.568892i | ||||
\(58\) | −3.12957e7 | − | 1.37115e8i | −0.363127 | − | 1.59096i | ||||
\(59\) | −7.35555e7 | + | 3.54225e7i | −0.790280 | + | 0.380579i | −0.785070 | − | 0.619408i | \(-0.787373\pi\) |
−0.00521045 | + | 0.999986i | \(0.501659\pi\) | |||||||
\(60\) | 2.41115e7 | − | 1.16115e7i | 0.240184 | − | 0.115667i | ||||
\(61\) | 1.95237e7 | + | 2.44820e7i | 0.180542 | + | 0.226393i | 0.863865 | − | 0.503724i | \(-0.168037\pi\) |
−0.683323 | + | 0.730117i | \(0.739466\pi\) | |||||||
\(62\) | 1.59551e7 | + | 6.99041e7i | 0.137132 | + | 0.600814i | ||||
\(63\) | 2.18046e7 | − | 9.55324e7i | 0.174388 | − | 0.764044i | ||||
\(64\) | −8.63491e7 | − | 1.08278e8i | −0.643351 | − | 0.806736i | ||||
\(65\) | −2.20969e7 | − | 2.77086e7i | −0.153540 | − | 0.192533i | ||||
\(66\) | 3.00034e7 | − | 1.31454e8i | 0.194636 | − | 0.852756i | ||||
\(67\) | 2.29434e7 | + | 1.00522e8i | 0.139098 | + | 0.609428i | 0.995634 | + | 0.0933412i | \(0.0297547\pi\) |
−0.856536 | + | 0.516087i | \(0.827388\pi\) | |||||||
\(68\) | 4.12082e8 | + | 5.16734e8i | 2.33718 | + | 2.93074i | ||||
\(69\) | 3.53724e7 | − | 1.70344e7i | 0.187864 | − | 0.0904705i | ||||
\(70\) | −9.71541e7 | + | 4.67869e7i | −0.483637 | + | 0.232908i | ||||
\(71\) | −4.65381e7 | − | 2.03897e8i | −0.217343 | − | 0.952243i | −0.959432 | − | 0.281941i | \(-0.909022\pi\) |
0.742088 | − | 0.670302i | \(-0.233835\pi\) | |||||||
\(72\) | 2.03396e8 | − | 2.55050e8i | 0.891960 | − | 1.11848i | ||||
\(73\) | −8.89797e7 | − | 4.28504e7i | −0.366723 | − | 0.176604i | 0.241442 | − | 0.970415i | \(-0.422380\pi\) |
−0.608165 | + | 0.793811i | \(0.708094\pi\) | |||||||
\(74\) | 6.94528e7 | − | 8.70910e7i | 0.269245 | − | 0.337622i | ||||
\(75\) | 2.19509e7 | − | 9.61733e7i | 0.0801083 | − | 0.350977i | ||||
\(76\) | 9.37880e8 | − | 4.51659e8i | 3.22467 | − | 1.55292i | ||||
\(77\) | −8.04512e7 | + | 3.52480e8i | −0.260810 | + | 1.14268i | ||||
\(78\) | 1.53040e8 | + | 7.37003e7i | 0.468145 | + | 0.225447i | ||||
\(79\) | −5.16079e8 | −1.49071 | −0.745357 | − | 0.666665i | \(-0.767721\pi\) | ||||
−0.745357 | + | 0.666665i | \(0.767721\pi\) | |||||||
\(80\) | −1.17494e8 | −0.320708 | ||||||||
\(81\) | −1.87128e8 | − | 9.01159e7i | −0.483009 | − | 0.232605i | ||||
\(82\) | −9.80932e7 | − | 4.29774e8i | −0.239594 | − | 1.04973i | ||||
\(83\) | 3.30495e8 | + | 4.14428e8i | 0.764388 | + | 0.958512i | 0.999911 | − | 0.0133566i | \(-0.00425167\pi\) |
−0.235523 | + | 0.971869i | \(0.575680\pi\) | |||||||
\(84\) | 2.14438e8 | − | 2.68896e8i | 0.469942 | − | 0.589288i | ||||
\(85\) | −3.00531e8 | −0.624460 | ||||||||
\(86\) | 8.91478e7 | + | 8.72504e8i | 0.175739 | + | 1.71998i | ||||
\(87\) | −2.03971e8 | −0.381709 | ||||||||
\(88\) | −7.50456e8 | + | 9.41042e8i | −1.33399 | + | 1.67277i | ||||
\(89\) | −4.54950e8 | − | 5.70489e8i | −0.768614 | − | 0.963812i | 0.231345 | − | 0.972872i | \(-0.425687\pi\) |
−0.999959 | + | 0.00906028i | \(0.997116\pi\) | |||||||
\(90\) | 6.63754e7 | + | 2.90810e8i | 0.106639 | + | 0.467216i | ||||
\(91\) | −4.10362e8 | − | 1.97620e8i | −0.627309 | − | 0.302096i | ||||
\(92\) | −7.04755e8 | −1.02564 | ||||||||
\(93\) | 1.03989e8 | 0.144149 | ||||||||
\(94\) | −2.19289e8 | − | 1.05604e8i | −0.289696 | − | 0.139510i | ||||
\(95\) | −1.05328e8 | + | 4.61472e8i | −0.132675 | + | 0.581285i | ||||
\(96\) | −1.12340e7 | + | 5.41002e6i | −0.0134994 | + | 0.00650097i | ||||
\(97\) | 5.93075e7 | − | 2.59843e8i | 0.0680200 | − | 0.298015i | −0.929464 | − | 0.368914i | \(-0.879730\pi\) |
0.997483 | + | 0.0708990i | \(0.0225868\pi\) | |||||||
\(98\) | 1.20251e8 | − | 1.50789e8i | 0.131695 | − | 0.165140i | ||||
\(99\) | 9.01065e8 | + | 4.33930e8i | 0.942753 | + | 0.454006i | ||||
\(100\) | −1.10407e9 | + | 1.38446e9i | −1.10407 | + | 1.38446i | ||||
\(101\) | 5.00262e7 | + | 2.19179e8i | 0.0478356 | + | 0.209581i | 0.993198 | − | 0.116441i | \(-0.0371486\pi\) |
−0.945362 | + | 0.326022i | \(0.894291\pi\) | |||||||
\(102\) | 1.29776e9 | − | 6.24968e8i | 1.18712 | − | 0.571685i | ||||
\(103\) | −2.35836e8 | + | 1.13572e8i | −0.206463 | + | 0.0994273i | −0.534258 | − | 0.845322i | \(-0.679409\pi\) |
0.327795 | + | 0.944749i | \(0.393695\pi\) | |||||||
\(104\) | −9.45412e8 | − | 1.18551e9i | −0.792448 | − | 0.993699i | ||||
\(105\) | 3.47999e7 | + | 1.52468e8i | 0.0279400 | + | 0.122413i | ||||
\(106\) | 8.82036e8 | − | 3.86445e9i | 0.678594 | − | 2.97311i | ||||
\(107\) | 1.50015e9 | + | 1.88113e9i | 1.10639 | + | 1.38737i | 0.913838 | + | 0.406079i | \(0.133104\pi\) |
0.192550 | + | 0.981287i | \(0.438324\pi\) | |||||||
\(108\) | −1.30234e9 | − | 1.63308e9i | −0.921123 | − | 1.15505i | ||||
\(109\) | 1.29272e8 | − | 5.66378e8i | 0.0877174 | − | 0.384315i | −0.911945 | − | 0.410313i | \(-0.865419\pi\) |
0.999662 | + | 0.0259984i | \(0.00827647\pi\) | |||||||
\(110\) | −2.44901e8 | − | 1.07298e9i | −0.159486 | − | 0.698755i | ||||
\(111\) | −1.00727e8 | − | 1.26308e8i | −0.0629785 | − | 0.0789725i | ||||
\(112\) | −1.36045e9 | + | 6.55156e8i | −0.816959 | + | 0.393427i | ||||
\(113\) | 1.01750e9 | − | 4.90003e8i | 0.587059 | − | 0.282713i | −0.116682 | − | 0.993169i | \(-0.537226\pi\) |
0.703741 | + | 0.710456i | \(0.251511\pi\) | |||||||
\(114\) | −5.04822e8 | − | 2.21177e9i | −0.279941 | − | 1.22650i | ||||
\(115\) | 1.99804e8 | − | 2.50546e8i | 0.106528 | − | 0.133582i | ||||
\(116\) | 3.29885e9 | + | 1.58864e9i | 1.69162 | + | 0.814640i | ||||
\(117\) | −7.85546e8 | + | 9.85044e8i | −0.387557 | + | 0.485981i | ||||
\(118\) | 7.10707e8 | − | 3.11381e9i | 0.337459 | − | 1.47851i | ||||
\(119\) | −3.47981e9 | + | 1.67579e9i | −1.59072 | + | 0.766052i | ||||
\(120\) | −1.15854e8 | + | 5.07591e8i | −0.0510031 | + | 0.223459i | ||||
\(121\) | −1.20017e9 | − | 5.77970e8i | −0.508988 | − | 0.245116i | ||||
\(122\) | −1.22503e9 | −0.500643 | ||||||||
\(123\) | −6.39328e8 | −0.251855 | ||||||||
\(124\) | −1.68182e9 | − | 8.09922e8i | −0.638825 | − | 0.307642i | ||||
\(125\) | −3.80449e8 | − | 1.66685e9i | −0.139380 | − | 0.610664i | ||||
\(126\) | 2.39013e9 | + | 2.99713e9i | 0.844801 | + | 1.05935i | ||||
\(127\) | −6.30587e8 | + | 7.90730e8i | −0.215094 | + | 0.269719i | −0.877659 | − | 0.479285i | \(-0.840896\pi\) |
0.662566 | + | 0.749004i | \(0.269468\pi\) | |||||||
\(128\) | 5.30553e9 | 1.74696 | ||||||||
\(129\) | 1.26243e9 | + | 1.55526e8i | 0.401378 | + | 0.0494481i | ||||
\(130\) | 1.38649e9 | 0.425766 | ||||||||
\(131\) | 3.39895e9 | − | 4.26215e9i | 1.00838 | − | 1.26447i | 0.0442535 | − | 0.999020i | \(-0.485909\pi\) |
0.964125 | − | 0.265447i | \(-0.0855195\pi\) | |||||||
\(132\) | 2.18861e9 | + | 2.74444e9i | 0.627461 | + | 0.786811i | ||||
\(133\) | 1.35363e9 | + | 5.93065e9i | 0.375118 | + | 1.64350i | ||||
\(134\) | −3.63422e9 | − | 1.75015e9i | −0.973732 | − | 0.468925i | ||||
\(135\) | 9.49798e8 | 0.246110 | ||||||||
\(136\) | −1.28582e10 | −3.22296 | ||||||||
\(137\) | 5.01103e9 | + | 2.41319e9i | 1.21530 | + | 0.585259i | 0.928000 | − | 0.372581i | \(-0.121527\pi\) |
0.287303 | + | 0.957840i | \(0.407241\pi\) | |||||||
\(138\) | −3.41774e8 | + | 1.49741e9i | −0.0802202 | + | 0.351468i | ||||
\(139\) | −3.42856e9 | + | 1.65111e9i | −0.779013 | + | 0.375153i | −0.780749 | − | 0.624845i | \(-0.785162\pi\) |
0.00173508 | + | 0.999998i | \(0.499448\pi\) | |||||||
\(140\) | 6.24687e8 | − | 2.73693e9i | 0.137431 | − | 0.602126i | ||||
\(141\) | −2.20086e8 | + | 2.75980e8i | −0.0468929 | + | 0.0588019i | ||||
\(142\) | 7.37161e9 | + | 3.54998e9i | 1.52147 | + | 0.732703i | ||||
\(143\) | 2.89838e9 | − | 3.63445e9i | 0.579620 | − | 0.726820i | ||||
\(144\) | 9.29453e8 | + | 4.07220e9i | 0.180134 | + | 0.789219i | ||||
\(145\) | −1.50003e9 | + | 7.22375e8i | −0.281801 | + | 0.135708i | ||||
\(146\) | 3.48101e9 | − | 1.67637e9i | 0.634041 | − | 0.305338i | ||||
\(147\) | −1.74399e8 | − | 2.18689e8i | −0.0308045 | − | 0.0386277i | ||||
\(148\) | 6.45314e8 | + | 2.82731e9i | 0.110559 | + | 0.484390i | ||||
\(149\) | −2.69816e8 | + | 1.18214e9i | −0.0448465 | + | 0.196486i | −0.992389 | − | 0.123146i | \(-0.960702\pi\) |
0.947542 | + | 0.319631i | \(0.103559\pi\) | |||||||
\(150\) | 2.40617e9 | + | 3.01724e9i | 0.388075 | + | 0.486630i | ||||
\(151\) | 2.08224e9 | + | 2.61105e9i | 0.325938 | + | 0.408713i | 0.917620 | − | 0.397458i | \(-0.130108\pi\) |
−0.591683 | + | 0.806171i | \(0.701536\pi\) | |||||||
\(152\) | −4.50645e9 | + | 1.97440e10i | −0.684760 | + | 3.00013i | ||||
\(153\) | 2.37740e9 | + | 1.04161e10i | 0.350744 | + | 1.53671i | ||||
\(154\) | −8.81872e9 | − | 1.10583e10i | −1.26346 | − | 1.58433i | ||||
\(155\) | 7.64743e8 | − | 3.68281e8i | 0.106420 | − | 0.0512491i | ||||
\(156\) | −3.98424e9 | + | 1.91871e9i | −0.538623 | + | 0.259387i | ||||
\(157\) | 1.27237e9 | + | 5.57463e9i | 0.167135 | + | 0.732264i | 0.987133 | + | 0.159899i | \(0.0511169\pi\) |
−0.819999 | + | 0.572365i | \(0.806026\pi\) | |||||||
\(158\) | 1.25881e10 | − | 1.57850e10i | 1.60695 | − | 2.01506i | ||||
\(159\) | −5.17942e9 | − | 2.49428e9i | −0.642679 | − | 0.309498i | ||||
\(160\) | −6.34563e7 | + | 7.95717e7i | −0.00765482 | + | 0.00959883i | ||||
\(161\) | 9.16435e8 | − | 4.01516e9i | 0.107494 | − | 0.470963i | ||||
\(162\) | 7.32070e9 | − | 3.52546e9i | 0.835093 | − | 0.402160i | ||||
\(163\) | −2.52445e9 | + | 1.10604e10i | −0.280107 | + | 1.22723i | 0.617550 | + | 0.786532i | \(0.288125\pi\) |
−0.897657 | + | 0.440696i | \(0.854732\pi\) | |||||||
\(164\) | 1.03399e10 | + | 4.97945e9i | 1.11614 | + | 0.537507i | ||||
\(165\) | −1.59616e9 | −0.167648 | ||||||||
\(166\) | −2.07372e10 | −2.11965 | ||||||||
\(167\) | −9.54370e9 | − | 4.59600e9i | −0.949495 | − | 0.457253i | −0.105986 | − | 0.994368i | \(-0.533800\pi\) |
−0.843509 | + | 0.537115i | \(0.819514\pi\) | |||||||
\(168\) | 1.48891e9 | + | 6.52334e9i | 0.144204 | + | 0.631798i | ||||
\(169\) | −2.96046e9 | − | 3.71231e9i | −0.279171 | − | 0.350069i | ||||
\(170\) | 7.33050e9 | − | 9.19215e9i | 0.673152 | − | 0.844106i | ||||
\(171\) | 1.68273e10 | 1.50498 | ||||||||
\(172\) | −1.92061e10 | − | 1.23479e10i | −1.67325 | − | 1.07576i | ||||
\(173\) | −2.32833e10 | −1.97623 | −0.988113 | − | 0.153728i | \(-0.950872\pi\) | ||||
−0.988113 | + | 0.153728i | \(0.950872\pi\) | |||||||
\(174\) | 4.97523e9 | − | 6.23874e9i | 0.411473 | − | 0.515971i | ||||
\(175\) | −6.45190e9 | − | 8.09043e9i | −0.520016 | − | 0.652079i | ||||
\(176\) | −3.42934e9 | − | 1.50249e10i | −0.269404 | − | 1.18034i | ||||
\(177\) | −4.17336e9 | − | 2.00978e9i | −0.319599 | − | 0.153911i | ||||
\(178\) | 2.85462e10 | 2.13137 | ||||||||
\(179\) | 9.15325e9 | 0.666403 | 0.333201 | − | 0.942856i | \(-0.391871\pi\) | ||||
0.333201 | + | 0.942856i | \(0.391871\pi\) | |||||||
\(180\) | −6.99658e9 | − | 3.36938e9i | −0.496775 | − | 0.239234i | ||||
\(181\) | 4.86774e8 | − | 2.13269e9i | 0.0337111 | − | 0.147698i | −0.955271 | − | 0.295731i | \(-0.904437\pi\) |
0.988982 | + | 0.148033i | \(0.0472940\pi\) | |||||||
\(182\) | 1.60540e10 | − | 7.73118e9i | 1.08458 | − | 0.522305i | ||||
\(183\) | −3.95343e8 | + | 1.73211e9i | −0.0260582 | + | 0.114168i | ||||
\(184\) | 8.54858e9 | − | 1.07196e10i | 0.549811 | − | 0.689442i | ||||
\(185\) | −1.18808e9 | − | 5.72149e8i | −0.0745715 | − | 0.0359118i | ||||
\(186\) | −2.53647e9 | + | 3.18063e9i | −0.155389 | + | 0.194852i | ||||
\(187\) | −8.77173e9 | − | 3.84315e10i | −0.524564 | − | 2.29826i | ||||
\(188\) | 5.70897e9 | − | 2.74929e9i | 0.333309 | − | 0.160513i | ||||
\(189\) | 1.09976e10 | − | 5.29616e9i | 0.626930 | − | 0.301914i | ||||
\(190\) | −1.15456e10 | − | 1.44777e10i | −0.642726 | − | 0.805953i | ||||
\(191\) | 7.15110e9 | + | 3.13310e10i | 0.388797 | + | 1.70343i | 0.668809 | + | 0.743434i | \(0.266804\pi\) |
−0.280013 | + | 0.959996i | \(0.590339\pi\) | |||||||
\(192\) | 1.74852e9 | − | 7.66075e9i | 0.0928569 | − | 0.406833i | ||||
\(193\) | 1.25448e10 | + | 1.57307e10i | 0.650812 | + | 0.816092i | 0.992308 | − | 0.123791i | \(-0.0395051\pi\) |
−0.341496 | + | 0.939883i | \(0.610934\pi\) | |||||||
\(194\) | 6.50103e9 | + | 8.15204e9i | 0.329514 | + | 0.413198i | ||||
\(195\) | 4.47448e8 | − | 1.96040e9i | 0.0221609 | − | 0.0970931i | ||||
\(196\) | 1.11730e9 | + | 4.89520e9i | 0.0540774 | + | 0.236929i | ||||
\(197\) | −1.01286e10 | − | 1.27009e10i | −0.479127 | − | 0.600807i | 0.482252 | − | 0.876032i | \(-0.339819\pi\) |
−0.961380 | + | 0.275226i | \(0.911247\pi\) | |||||||
\(198\) | −3.52509e10 | + | 1.69760e10i | −1.62996 | + | 0.784948i | ||||
\(199\) | −1.93958e10 | + | 9.34051e9i | −0.876735 | + | 0.422213i | −0.817431 | − | 0.576027i | \(-0.804602\pi\) |
−0.0593038 | + | 0.998240i | \(0.518888\pi\) | |||||||
\(200\) | −7.66590e9 | − | 3.35865e10i | −0.338788 | − | 1.48433i | ||||
\(201\) | −3.64743e9 | + | 4.57373e9i | −0.157617 | + | 0.197646i | ||||
\(202\) | −7.92411e9 | − | 3.81605e9i | −0.334865 | − | 0.161262i | ||||
\(203\) | −1.33406e10 | + | 1.67286e10i | −0.551369 | + | 0.691395i | ||||
\(204\) | −8.34440e9 | + | 3.65592e10i | −0.337333 | + | 1.47795i | ||||
\(205\) | −4.70168e9 | + | 2.26421e9i | −0.185935 | + | 0.0895416i | ||||
\(206\) | 2.27869e9 | − | 9.98359e9i | 0.0881622 | − | 0.386264i | ||||
\(207\) | −1.02642e10 | − | 4.94298e9i | −0.388560 | − | 0.187121i | ||||
\(208\) | 1.94149e10 | 0.719202 | ||||||||
\(209\) | −6.20866e10 | −2.25081 | ||||||||
\(210\) | −5.51228e9 | − | 2.65458e9i | −0.195589 | − | 0.0941908i | ||||
\(211\) | 2.41815e8 | + | 1.05946e9i | 0.00839869 | + | 0.0367971i | 0.978954 | − | 0.204083i | \(-0.0654212\pi\) |
−0.970555 | + | 0.240880i | \(0.922564\pi\) | |||||||
\(212\) | 6.43405e10 | + | 8.06805e10i | 2.18763 | + | 2.74320i | ||||
\(213\) | 7.39840e9 | − | 9.27730e9i | 0.246280 | − | 0.308826i | ||||
\(214\) | −9.41281e10 | −3.06802 | ||||||||
\(215\) | 9.83485e9 | − | 3.32720e9i | 0.313902 | − | 0.106196i | ||||
\(216\) | 4.06370e10 | 1.27022 | ||||||||
\(217\) | 6.80129e9 | − | 8.52855e9i | 0.208220 | − | 0.261100i | ||||
\(218\) | 1.41703e10 | + | 1.77689e10i | 0.424936 | + | 0.532853i | ||||
\(219\) | −1.24687e9 | − | 5.46291e9i | −0.0366289 | − | 0.160482i | ||||
\(220\) | 2.58148e10 | + | 1.24318e10i | 0.742963 | + | 0.357792i | ||||
\(221\) | 4.96604e10 | 1.40038 | ||||||||
\(222\) | 6.32020e9 | 0.174639 | ||||||||
\(223\) | 3.11366e10 | + | 1.49946e10i | 0.843139 | + | 0.406034i | 0.805026 | − | 0.593239i | \(-0.202151\pi\) |
0.0381126 | + | 0.999273i | \(0.487865\pi\) | |||||||
\(224\) | −2.91053e8 | + | 1.27519e9i | −0.00772425 | + | 0.0338422i | ||||
\(225\) | −2.57901e10 | + | 1.24199e10i | −0.670860 | + | 0.323069i | ||||
\(226\) | −9.83129e9 | + | 4.30737e10i | −0.250682 | + | 1.09831i | ||||
\(227\) | 8.03255e9 | − | 1.00725e10i | 0.200788 | − | 0.251780i | −0.671236 | − | 0.741244i | \(-0.734236\pi\) |
0.872023 | + | 0.489464i | \(0.162808\pi\) | |||||||
\(228\) | 5.32130e10 | + | 2.56260e10i | 1.30410 | + | 0.628021i | ||||
\(229\) | 2.75912e10 | − | 3.45983e10i | 0.662997 | − | 0.831372i | −0.330669 | − | 0.943747i | \(-0.607274\pi\) |
0.993666 | + | 0.112375i | \(0.0358458\pi\) | |||||||
\(230\) | 2.78971e9 | + | 1.22225e10i | 0.0657331 | + | 0.287996i | ||||
\(231\) | −1.84817e10 | + | 8.90032e9i | −0.427059 | + | 0.205661i | ||||
\(232\) | −6.41785e10 | + | 3.09067e10i | −1.45443 | + | 0.700417i | ||||
\(233\) | −5.84774e8 | − | 7.33283e8i | −0.0129983 | − | 0.0162993i | 0.775290 | − | 0.631606i | \(-0.217604\pi\) |
−0.788288 | + | 0.615306i | \(0.789032\pi\) | |||||||
\(234\) | −1.09680e10 | − | 4.80540e10i | −0.239142 | − | 1.04775i | ||||
\(235\) | −6.41142e8 | + | 2.80903e9i | −0.0137135 | + | 0.0600829i | ||||
\(236\) | 5.18429e10 | + | 6.50089e10i | 1.08789 | + | 1.36417i | ||||
\(237\) | −1.82564e10 | − | 2.28929e10i | −0.375880 | − | 0.471338i | ||||
\(238\) | 3.36226e10 | − | 1.47310e11i | 0.679259 | − | 2.97603i | ||||
\(239\) | 8.05450e9 | + | 3.52891e10i | 0.159679 | + | 0.699600i | 0.989853 | + | 0.142095i | \(0.0453839\pi\) |
−0.830174 | + | 0.557505i | \(0.811759\pi\) | |||||||
\(240\) | −4.15638e9 | − | 5.21193e9i | −0.0808657 | − | 0.101402i | ||||
\(241\) | −2.32312e10 | + | 1.11876e10i | −0.443603 | + | 0.213628i | −0.642332 | − | 0.766426i | \(-0.722033\pi\) |
0.198729 | + | 0.980055i | \(0.436319\pi\) | |||||||
\(242\) | 4.69522e10 | − | 2.26110e10i | 0.880009 | − | 0.423790i | ||||
\(243\) | −1.16048e10 | − | 5.08441e10i | −0.213506 | − | 0.935433i | ||||
\(244\) | 1.98846e10 | − | 2.49345e10i | 0.359139 | − | 0.450346i | ||||
\(245\) | −2.05704e9 | − | 9.90619e8i | −0.0364750 | − | 0.0175654i | ||||
\(246\) | 1.55944e10 | − | 1.95547e10i | 0.271494 | − | 0.340442i | ||||
\(247\) | 1.74046e10 | − | 7.62547e10i | 0.297528 | − | 1.30356i | ||||
\(248\) | 3.27194e10 | − | 1.57569e10i | 0.549254 | − | 0.264507i | ||||
\(249\) | −6.69233e9 | + | 2.93210e10i | −0.110327 | + | 0.483372i | ||||
\(250\) | 6.02628e10 | + | 2.90210e10i | 0.975707 | + | 0.469876i | ||||
\(251\) | 5.55485e10 | 0.883365 | 0.441683 | − | 0.897171i | \(-0.354382\pi\) | ||||
0.441683 | + | 0.897171i | \(0.354382\pi\) | |||||||
\(252\) | −9.98005e10 | −1.55894 | ||||||||
\(253\) | 3.78712e10 | + | 1.82378e10i | 0.581121 | + | 0.279853i | ||||
\(254\) | −8.80442e9 | − | 3.85747e10i | −0.132724 | − | 0.581501i | ||||
\(255\) | −1.06314e10 | − | 1.33313e10i | −0.157456 | − | 0.197443i | ||||
\(256\) | −8.52007e10 | + | 1.06838e11i | −1.23983 | + | 1.55470i | ||||
\(257\) | −3.28443e10 | −0.469635 | −0.234818 | − | 0.972039i | \(-0.575449\pi\) | ||||
−0.234818 | + | 0.972039i | \(0.575449\pi\) | |||||||
\(258\) | −3.55499e10 | + | 3.48196e10i | −0.499517 | + | 0.489255i | ||||
\(259\) | −1.69470e10 | −0.234015 | ||||||||
\(260\) | −2.25053e10 | + | 2.82208e10i | −0.305425 | + | 0.382991i | ||||
\(261\) | 3.69028e10 | + | 4.62747e10i | 0.492241 | + | 0.617250i | ||||
\(262\) | 4.74570e10 | + | 2.07923e11i | 0.622221 | + | 2.72613i | ||||
\(263\) | 1.25135e11 | + | 6.02617e10i | 1.61279 | + | 0.776677i | 0.999909 | − | 0.0135019i | \(-0.00429793\pi\) |
0.612877 | + | 0.790179i | \(0.290012\pi\) | |||||||
\(264\) | −6.82914e10 | −0.865264 | ||||||||
\(265\) | −4.69236e10 | −0.584500 | ||||||||
\(266\) | −2.14414e11 | − | 1.03256e11i | −2.62595 | − | 1.26459i | ||||
\(267\) | 9.21245e9 | − | 4.03624e10i | 0.110937 | − | 0.486045i | ||||
\(268\) | 9.46130e10 | − | 4.55632e10i | 1.12033 | − | 0.539520i | ||||
\(269\) | 3.29901e10 | − | 1.44539e11i | 0.384147 | − | 1.68306i | −0.300178 | − | 0.953883i | \(-0.597046\pi\) |
0.684326 | − | 0.729176i | \(-0.260097\pi\) | |||||||
\(270\) | −2.31673e10 | + | 2.90508e10i | −0.265300 | + | 0.332676i | ||||
\(271\) | −3.46820e10 | − | 1.67020e10i | −0.390609 | − | 0.188107i | 0.228262 | − | 0.973600i | \(-0.426696\pi\) |
−0.618872 | + | 0.785492i | \(0.712410\pi\) | |||||||
\(272\) | 1.02649e11 | − | 1.28717e11i | 1.13709 | − | 1.42586i | ||||
\(273\) | −5.75041e9 | − | 2.51942e10i | −0.0626566 | − | 0.274517i | ||||
\(274\) | −1.96039e11 | + | 9.44072e10i | −2.10118 | + | 1.01188i | ||||
\(275\) | 9.51561e10 | − | 4.58248e10i | 1.00332 | − | 0.483173i | ||||
\(276\) | −2.49309e10 | − | 3.12624e10i | −0.258611 | − | 0.324288i | ||||
\(277\) | 2.96817e10 | + | 1.30044e11i | 0.302921 | + | 1.32718i | 0.865694 | + | 0.500573i | \(0.166877\pi\) |
−0.562773 | + | 0.826611i | \(0.690265\pi\) | |||||||
\(278\) | 3.31274e10 | − | 1.45141e11i | 0.332648 | − | 1.45743i | ||||
\(279\) | −1.88138e10 | − | 2.35917e10i | −0.185891 | − | 0.233099i | ||||
\(280\) | 3.40523e10 | + | 4.27003e10i | 0.331082 | + | 0.415164i | ||||
\(281\) | 5.02061e8 | − | 2.19967e9i | 0.00480373 | − | 0.0210465i | −0.972469 | − | 0.233031i | \(-0.925136\pi\) |
0.977273 | + | 0.211985i | \(0.0679927\pi\) | |||||||
\(282\) | −3.07291e9 | − | 1.34633e10i | −0.0289353 | − | 0.126774i | ||||
\(283\) | 4.55687e10 | + | 5.71414e10i | 0.422307 | + | 0.529556i | 0.946784 | − | 0.321868i | \(-0.104311\pi\) |
−0.524478 | + | 0.851424i | \(0.675739\pi\) | |||||||
\(284\) | −1.91912e11 | + | 9.24200e10i | −1.75053 | + | 0.843011i | ||||
\(285\) | −2.41965e10 | + | 1.16524e10i | −0.217246 | + | 0.104620i | ||||
\(286\) | 4.04680e10 | + | 1.77302e11i | 0.357655 | + | 1.56699i | ||||
\(287\) | −4.18147e10 | + | 5.24340e10i | −0.363799 | + | 0.456189i | ||||
\(288\) | 3.25984e9 | + | 1.56986e9i | 0.0279209 | + | 0.0134460i | ||||
\(289\) | 1.88621e11 | − | 2.36524e11i | 1.59056 | − | 1.99450i | ||||
\(290\) | 1.44935e10 | − | 6.35003e10i | 0.120333 | − | 0.527212i | ||||
\(291\) | 1.36244e10 | − | 6.56118e9i | 0.111378 | − | 0.0536369i | ||||
\(292\) | −2.23824e10 | + | 9.80637e10i | −0.180170 | + | 0.789378i | ||||
\(293\) | 2.05152e11 | + | 9.87959e10i | 1.62619 | + | 0.783132i | 0.999994 | + | 0.00346591i | \(0.00110324\pi\) |
0.626196 | + | 0.779666i | \(0.284611\pi\) | |||||||
\(294\) | 1.09428e10 | 0.0854211 | ||||||||
\(295\) | −3.78090e10 | −0.290667 | ||||||||
\(296\) | −5.08319e10 | − | 2.44793e10i | −0.384878 | − | 0.185348i | ||||
\(297\) | 2.77221e10 | + | 1.21459e11i | 0.206739 | + | 0.905784i | ||||
\(298\) | −2.95760e10 | − | 3.70872e10i | −0.217254 | − | 0.272427i | ||||
\(299\) | −3.30160e10 | + | 4.14007e10i | −0.238893 | + | 0.299563i | ||||
\(300\) | −1.00470e11 | −0.716128 | ||||||||
\(301\) | 9.53236e10 | − | 9.33653e10i | 0.669347 | − | 0.655596i | ||||
\(302\) | −1.30652e11 | −0.903826 | ||||||||
\(303\) | −7.95291e9 | + | 9.97263e9i | −0.0542044 | + | 0.0679701i | ||||
\(304\) | −1.61673e11 | − | 2.02731e11i | −1.08569 | − | 1.36141i | ||||
\(305\) | 3.22697e9 | + | 1.41383e10i | 0.0213523 | + | 0.0935506i | ||||
\(306\) | −3.76578e11 | − | 1.81350e11i | −2.45532 | − | 1.18242i | ||||
\(307\) | −6.13136e10 | −0.393944 | −0.196972 | − | 0.980409i | \(-0.563111\pi\) | ||||
−0.196972 | + | 0.980409i | \(0.563111\pi\) | |||||||
\(308\) | 3.68227e11 | 2.33151 | ||||||||
\(309\) | −1.33807e10 | − | 6.44382e9i | −0.0834962 | − | 0.0402097i | ||||
\(310\) | −7.38909e9 | + | 3.23737e10i | −0.0454426 | + | 0.199097i | ||||
\(311\) | −1.55647e11 | + | 7.49554e10i | −0.943447 | + | 0.454340i | −0.841384 | − | 0.540438i | \(-0.818259\pi\) |
−0.102063 | + | 0.994778i | \(0.532544\pi\) | |||||||
\(312\) | 1.91440e10 | − | 8.38754e10i | 0.114377 | − | 0.501117i | ||||
\(313\) | 1.56007e11 | − | 1.95626e11i | 0.918744 | − | 1.15207i | −0.0692541 | − | 0.997599i | \(-0.522062\pi\) |
0.987998 | − | 0.154469i | \(-0.0493667\pi\) | |||||||
\(314\) | −2.01543e11 | − | 9.70581e10i | −1.17000 | − | 0.563441i | ||||
\(315\) | 2.82942e10 | − | 3.54798e10i | 0.161920 | − | 0.203041i | ||||
\(316\) | 1.16961e11 | + | 5.12440e11i | 0.659857 | + | 2.89102i | ||||
\(317\) | −6.73528e10 | + | 3.24354e10i | −0.374618 | + | 0.180407i | −0.611713 | − | 0.791080i | \(-0.709519\pi\) |
0.237095 | + | 0.971487i | \(0.423805\pi\) | |||||||
\(318\) | 2.02626e11 | − | 9.75796e10i | 1.11115 | − | 0.535103i | ||||
\(319\) | −1.36158e11 | − | 1.70737e11i | −0.736182 | − | 0.923143i | ||||
\(320\) | −1.42722e10 | − | 6.25304e10i | −0.0760877 | − | 0.333362i | ||||
\(321\) | −3.03771e10 | + | 1.33091e11i | −0.159689 | + | 0.699641i | ||||
\(322\) | 1.00456e11 | + | 1.25967e11i | 0.520742 | + | 0.652990i | ||||
\(323\) | −4.13534e11 | − | 5.18556e11i | −2.11398 | − | 2.65084i | ||||
\(324\) | −4.70710e10 | + | 2.06232e11i | −0.237302 | + | 1.03969i | ||||
\(325\) | 2.96069e10 | + | 1.29717e11i | 0.147204 | + | 0.644941i | ||||
\(326\) | −2.76720e11 | − | 3.46996e11i | −1.35694 | − | 1.70155i | ||||
\(327\) | 2.96971e10 | − | 1.43014e10i | 0.143631 | − | 0.0691692i | ||||
\(328\) | −2.01161e11 | + | 9.68741e10i | −0.959647 | + | 0.462142i | ||||
\(329\) | 8.23969e9 | + | 3.61005e10i | 0.0387730 | + | 0.169876i | ||||
\(330\) | 3.89331e10 | − | 4.88206e10i | 0.180720 | − | 0.226616i | ||||
\(331\) | 2.72920e11 | + | 1.31431e11i | 1.24971 | + | 0.601828i | 0.937434 | − | 0.348163i | \(-0.113195\pi\) |
0.312275 | + | 0.949992i | \(0.398909\pi\) | |||||||
\(332\) | 3.36604e11 | − | 4.22088e11i | 1.52054 | − | 1.90670i | ||||
\(333\) | −1.04315e10 | + | 4.57035e10i | −0.0464889 | + | 0.203681i | ||||
\(334\) | 3.73363e11 | − | 1.79802e11i | 1.64162 | − | 0.790561i | ||||
\(335\) | −1.06255e10 | + | 4.65532e10i | −0.0460942 | + | 0.201952i | ||||
\(336\) | −7.71883e10 | − | 3.71719e10i | −0.330389 | − | 0.159107i | ||||
\(337\) | 2.08891e11 | 0.882237 | 0.441118 | − | 0.897449i | \(-0.354582\pi\) | ||||
0.441118 | + | 0.897449i | \(0.354582\pi\) | |||||||
\(338\) | 1.85757e11 | 0.774141 | ||||||||
\(339\) | 5.77305e10 | + | 2.78015e10i | 0.237414 | + | 0.114333i | ||||
\(340\) | 6.81106e10 | + | 2.98412e11i | 0.276414 | + | 1.21105i | ||||
\(341\) | 6.94160e10 | + | 8.70450e10i | 0.278013 | + | 0.348617i | ||||
\(342\) | −4.10448e11 | + | 5.14686e11i | −1.62234 | + | 2.03434i | ||||
\(343\) | −2.69518e11 | −1.05139 | ||||||||
\(344\) | 4.20783e11 | − | 1.42354e11i | 1.62011 | − | 0.548096i | ||||
\(345\) | 1.81821e10 | 0.0690969 | ||||||||
\(346\) | 5.67921e11 | − | 7.12151e11i | 2.13032 | − | 2.67134i | ||||
\(347\) | 2.16498e11 | + | 2.71480e11i | 0.801625 | + | 1.00521i | 0.999687 | + | 0.0250163i | \(0.00796376\pi\) |
−0.198062 | + | 0.980189i | \(0.563465\pi\) | |||||||
\(348\) | 4.62269e10 | + | 2.02533e11i | 0.168962 | + | 0.740269i | ||||
\(349\) | 2.43159e11 | + | 1.17099e11i | 0.877356 | + | 0.422512i | 0.817658 | − | 0.575704i | \(-0.195272\pi\) |
0.0596978 | + | 0.998216i | \(0.480986\pi\) | |||||||
\(350\) | 4.04830e11 | 1.44200 | ||||||||
\(351\) | −1.56947e11 | −0.551912 | ||||||||
\(352\) | −1.20276e10 | − | 5.79220e9i | −0.0417578 | − | 0.0201095i | ||||
\(353\) | 6.21442e10 | − | 2.72272e11i | 0.213017 | − | 0.933289i | −0.749486 | − | 0.662020i | \(-0.769699\pi\) |
0.962503 | − | 0.271269i | \(-0.0874434\pi\) | |||||||
\(354\) | 1.63268e11 | − | 7.86255e10i | 0.552567 | − | 0.266102i | ||||
\(355\) | 2.15526e10 | − | 9.44280e10i | 0.0720230 | − | 0.315554i | ||||
\(356\) | −4.63359e11 | + | 5.81034e11i | −1.52895 | + | 1.91724i | ||||
\(357\) | −1.97436e11 | − | 9.50801e10i | −0.643308 | − | 0.309801i | ||||
\(358\) | −2.23264e11 | + | 2.79965e11i | −0.718366 | + | 0.900802i | ||||
\(359\) | −6.04463e10 | − | 2.64833e11i | −0.192064 | − | 0.841485i | −0.975498 | − | 0.220010i | \(-0.929391\pi\) |
0.783434 | − | 0.621475i | \(-0.213466\pi\) | |||||||
\(360\) | 1.36117e11 | − | 6.55504e10i | 0.427121 | − | 0.205691i | ||||
\(361\) | −6.50454e11 | + | 3.13242e11i | −2.01574 | + | 0.970729i | ||||
\(362\) | 5.33580e10 | + | 6.69089e10i | 0.163309 | + | 0.204784i | ||||
\(363\) | −1.68180e10 | − | 7.36843e10i | −0.0508386 | − | 0.222738i | ||||
\(364\) | −1.03225e11 | + | 4.52256e11i | −0.308196 | + | 1.35029i | ||||
\(365\) | −2.85168e10 | − | 3.57589e10i | −0.0840974 | − | 0.105455i | ||||
\(366\) | −4.33359e10 | − | 5.43415e10i | −0.126236 | − | 0.158295i | ||||
\(367\) | −1.92121e10 | + | 8.41738e10i | −0.0552812 | + | 0.242203i | −0.995018 | − | 0.0996961i | \(-0.968213\pi\) |
0.939737 | + | 0.341899i | \(0.111070\pi\) | |||||||
\(368\) | 3.90643e10 | + | 1.71152e11i | 0.111036 | + | 0.486481i | ||||
\(369\) | 1.15668e11 | + | 1.45043e11i | 0.324785 | + | 0.407267i | ||||
\(370\) | 4.64794e10 | − | 2.23833e10i | 0.128930 | − | 0.0620892i | ||||
\(371\) | −5.43322e11 | + | 2.61650e11i | −1.48893 | + | 0.717032i | ||||
\(372\) | −2.35674e10 | − | 1.03255e11i | −0.0638069 | − | 0.279556i | ||||
\(373\) | −2.65168e11 | + | 3.32510e11i | −0.709302 | + | 0.889437i | −0.997680 | − | 0.0680798i | \(-0.978313\pi\) |
0.288378 | + | 0.957517i | \(0.406884\pi\) | |||||||
\(374\) | 1.38944e12 | + | 6.69117e11i | 3.67212 | + | 1.76840i | ||||
\(375\) | 6.04818e10 | − | 7.58418e10i | 0.157937 | − | 0.198047i | ||||
\(376\) | −2.74312e10 | + | 1.20184e11i | −0.0707782 | + | 0.310100i | ||||
\(377\) | 2.47868e11 | − | 1.19367e11i | 0.631951 | − | 0.304332i | ||||
\(378\) | −1.06261e11 | + | 4.65559e11i | −0.267707 | + | 1.17290i | ||||
\(379\) | −4.30796e11 | − | 2.07460e11i | −1.07249 | − | 0.516486i | −0.187585 | − | 0.982248i | \(-0.560066\pi\) |
−0.884910 | + | 0.465762i | \(0.845780\pi\) | |||||||
\(380\) | 4.82089e11 | 1.18605 | ||||||||
\(381\) | −5.73833e10 | −0.139516 | ||||||||
\(382\) | −1.13273e12 | − | 5.45494e11i | −2.72171 | − | 1.31070i | ||||
\(383\) | 1.10196e11 | + | 4.82802e11i | 0.261681 | + | 1.14650i | 0.919427 | + | 0.393261i | \(0.128653\pi\) |
−0.657746 | + | 0.753240i | \(0.728490\pi\) | |||||||
\(384\) | 1.87685e11 | + | 2.35349e11i | 0.440492 | + | 0.552359i | ||||
\(385\) | −1.04395e11 | + | 1.30908e11i | −0.242163 | + | 0.303663i | ||||
\(386\) | −7.87134e11 | −1.80470 | ||||||||
\(387\) | −1.93117e11 | − | 3.14544e11i | −0.437644 | − | 0.712823i | ||||
\(388\) | −2.71452e11 | −0.608065 | ||||||||
\(389\) | −3.21480e11 | + | 4.03124e11i | −0.711838 | + | 0.892617i | −0.997845 | − | 0.0656108i | \(-0.979100\pi\) |
0.286007 | + | 0.958227i | \(0.407672\pi\) | |||||||
\(390\) | 4.90473e10 | + | 6.15034e10i | 0.107356 | + | 0.134620i | ||||
\(391\) | 9.99204e10 | + | 4.37780e11i | 0.216202 | + | 0.947241i | ||||
\(392\) | −8.80103e10 | − | 4.23835e10i | −0.188255 | − | 0.0906588i | ||||
\(393\) | 3.09304e11 | 0.654062 | ||||||||
\(394\) | 6.35527e11 | 1.32862 | ||||||||
\(395\) | −2.15336e11 | − | 1.03700e11i | −0.445071 | − | 0.214335i | ||||
\(396\) | 2.26658e11 | − | 9.93055e11i | 0.463173 | − | 2.02929i | ||||
\(397\) | 1.72244e11 | − | 8.29482e10i | 0.348005 | − | 0.167591i | −0.251713 | − | 0.967802i | \(-0.580994\pi\) |
0.599718 | + | 0.800212i | \(0.295279\pi\) | |||||||
\(398\) | 1.87406e11 | − | 8.21078e11i | 0.374377 | − | 1.64025i | ||||
\(399\) | −2.15194e11 | + | 2.69844e11i | −0.425061 | + | 0.533010i | ||||
\(400\) | 3.97417e11 | + | 1.91386e11i | 0.776205 | + | 0.373801i | ||||
\(401\) | 4.38767e11 | − | 5.50196e11i | 0.847391 | − | 1.06260i | −0.149875 | − | 0.988705i | \(-0.547887\pi\) |
0.997266 | − | 0.0738901i | \(-0.0235414\pi\) | |||||||
\(402\) | −5.09263e10 | − | 2.23123e11i | −0.0972580 | − | 0.426115i | ||||
\(403\) | −1.26368e11 | + | 6.08555e10i | −0.238651 | + | 0.114928i | ||||
\(404\) | 2.06296e11 | − | 9.93468e10i | 0.385278 | − | 0.185540i | ||||
\(405\) | −5.99719e10 | − | 7.52024e10i | −0.110764 | − | 0.138894i | ||||
\(406\) | −1.86265e11 | − | 8.16080e11i | −0.340223 | − | 1.49061i | ||||
\(407\) | 3.84886e10 | − | 1.68629e11i | 0.0695276 | − | 0.304620i | ||||
\(408\) | −4.54862e11 | − | 5.70379e11i | −0.812660 | − | 1.01904i | ||||
\(409\) | −4.38198e11 | − | 5.49483e11i | −0.774311 | − | 0.970956i | 0.225684 | − | 0.974201i | \(-0.427538\pi\) |
−0.999995 | + | 0.00324510i | \(0.998967\pi\) | |||||||
\(410\) | 4.54286e10 | − | 1.99036e11i | 0.0793966 | − | 0.347859i | ||||
\(411\) | 7.02197e10 | + | 3.07652e11i | 0.121387 | + | 0.531829i | ||||
\(412\) | 1.66220e11 | + | 2.08433e11i | 0.284214 | + | 0.356394i | ||||
\(413\) | −4.37786e11 | + | 2.10827e11i | −0.740434 | + | 0.356574i | ||||
\(414\) | 4.01550e11 | − | 1.93376e11i | 0.671797 | − | 0.323520i | ||||
\(415\) | 5.46257e10 | + | 2.39331e11i | 0.0904025 | + | 0.396079i | ||||
\(416\) | 1.04857e10 | − | 1.31486e10i | 0.0171663 | − | 0.0215258i | ||||
\(417\) | −1.94528e11 | − | 9.36797e10i | −0.315043 | − | 0.151717i | ||||
\(418\) | 1.51440e12 | − | 1.89900e12i | 2.42632 | − | 3.04251i | ||||
\(419\) | −5.75547e10 | + | 2.52164e11i | −0.0912258 | + | 0.399686i | −0.999839 | − | 0.0179526i | \(-0.994285\pi\) |
0.908613 | + | 0.417639i | \(0.137142\pi\) | |||||||
\(420\) | 1.43506e11 | − | 6.91091e10i | 0.225035 | − | 0.108371i | ||||
\(421\) | 2.72534e10 | − | 1.19405e11i | 0.0422815 | − | 0.185247i | −0.949377 | − | 0.314138i | \(-0.898284\pi\) |
0.991659 | + | 0.128891i | \(0.0411416\pi\) | |||||||
\(422\) | −3.83033e10 | − | 1.84459e10i | −0.0587936 | − | 0.0283135i | ||||
\(423\) | 1.02429e11 | 0.155558 | ||||||||
\(424\) | −2.00762e12 | −3.01672 | ||||||||
\(425\) | 1.01653e12 | + | 4.89536e11i | 1.51137 | + | 0.727837i | ||||
\(426\) | 1.03298e11 | + | 4.52580e11i | 0.151967 | + | 0.665813i | ||||
\(427\) | 1.16201e11 | + | 1.45711e11i | 0.169155 | + | 0.212113i | ||||
\(428\) | 1.52788e12 | − | 1.91590e12i | 2.20086 | − | 2.75979i | ||||
\(429\) | 2.63752e11 | 0.375957 | ||||||||
\(430\) | −1.38123e11 | + | 3.81968e11i | −0.194830 | + | 0.538790i | ||||
\(431\) | −8.02905e11 | −1.12077 | −0.560385 | − | 0.828232i | \(-0.689347\pi\) | ||||
−0.560385 | + | 0.828232i | \(0.689347\pi\) | |||||||
\(432\) | −3.24411e11 | + | 4.06798e11i | −0.448145 | + | 0.561956i | ||||
\(433\) | −2.90619e11 | − | 3.64424e11i | −0.397308 | − | 0.498209i | 0.542431 | − | 0.840100i | \(-0.317504\pi\) |
−0.939740 | + | 0.341891i | \(0.888933\pi\) | |||||||
\(434\) | 9.49615e10 | + | 4.16053e11i | 0.128482 | + | 0.562918i | ||||
\(435\) | −8.51078e10 | − | 4.09857e10i | −0.113964 | − | 0.0548822i | ||||
\(436\) | −5.91682e11 | −0.784150 | ||||||||
\(437\) | 7.07240e11 | 0.927684 | ||||||||
\(438\) | 1.97504e11 | + | 9.51129e10i | 0.256414 | + | 0.123483i | ||||
\(439\) | 2.12522e11 | − | 9.31120e11i | 0.273095 | − | 1.19651i | −0.633243 | − | 0.773953i | \(-0.718277\pi\) |
0.906338 | − | 0.422554i | \(-0.138866\pi\) | |||||||
\(440\) | −5.02222e11 | + | 2.41857e11i | −0.638791 | + | 0.307625i | ||||
\(441\) | −1.80612e10 | + | 7.91311e10i | −0.0227390 | + | 0.0996262i | ||||
\(442\) | −1.21131e12 | + | 1.51893e12i | −1.50957 | + | 1.89294i | ||||
\(443\) | 5.71947e8 | + | 2.75435e8i | 0.000705568 | + | 0.000339784i | 0.434236 | − | 0.900799i | \(-0.357018\pi\) |
−0.433531 | + | 0.901139i | \(0.642733\pi\) | |||||||
\(444\) | −1.02589e11 | + | 1.28642e11i | −0.125279 | + | 0.157094i | ||||
\(445\) | −7.51961e10 | − | 3.29455e11i | −0.0909023 | − | 0.398269i | ||||
\(446\) | −1.21811e12 | + | 5.86609e11i | −1.45774 | + | 0.702008i | ||||
\(447\) | −6.19836e10 | + | 2.98497e10i | −0.0734332 | + | 0.0353636i | ||||
\(448\) | −5.13930e11 | − | 6.44448e11i | −0.602772 | − | 0.755853i | ||||
\(449\) | 2.92543e11 | + | 1.28171e12i | 0.339688 | + | 1.48827i | 0.799722 | + | 0.600371i | \(0.204980\pi\) |
−0.460033 | + | 0.887902i | \(0.652163\pi\) | |||||||
\(450\) | 2.49189e11 | − | 1.09177e12i | 0.286465 | − | 1.25509i | ||||
\(451\) | −4.26774e11 | − | 5.35158e11i | −0.485740 | − | 0.609098i | ||||
\(452\) | −7.17148e11 | − | 8.99275e11i | −0.808139 | − | 1.01337i | ||||
\(453\) | −4.21641e10 | + | 1.84733e11i | −0.0470436 | + | 0.206112i | ||||
\(454\) | 1.12153e11 | + | 4.91373e11i | 0.123896 | + | 0.542825i | ||||
\(455\) | −1.31516e11 | − | 1.64915e11i | −0.143855 | − | 0.180389i | ||||
\(456\) | −1.03525e12 | + | 4.98548e11i | −1.12125 | + | 0.539965i | ||||
\(457\) | 6.10035e11 | − | 2.93778e11i | 0.654233 | − | 0.315062i | −0.0771597 | − | 0.997019i | \(-0.524585\pi\) |
0.731392 | + | 0.681957i | \(0.238871\pi\) | |||||||
\(458\) | 3.85236e11 | + | 1.68783e12i | 0.409103 | + | 1.79240i | ||||
\(459\) | −8.29793e11 | + | 1.04053e12i | −0.872595 | + | 1.09420i | ||||
\(460\) | −2.94062e11 | − | 1.41613e11i | −0.306216 | − | 0.147466i | ||||
\(461\) | −7.02034e11 | + | 8.80322e11i | −0.723942 | + | 0.907794i | −0.998554 | − | 0.0537607i | \(-0.982879\pi\) |
0.274612 | + | 0.961555i | \(0.411451\pi\) | |||||||
\(462\) | 1.78574e11 | − | 7.82382e11i | 0.182360 | − | 0.798970i | ||||
\(463\) | 1.32121e12 | − | 6.36263e11i | 1.33616 | − | 0.643461i | 0.376971 | − | 0.926225i | \(-0.376966\pi\) |
0.959189 | + | 0.282764i | \(0.0912514\pi\) | |||||||
\(464\) | 2.02953e11 | − | 8.89193e11i | 0.203266 | − | 0.890564i | ||||
\(465\) | 4.33896e10 | + | 2.08953e10i | 0.0430376 | + | 0.0207258i | ||||
\(466\) | 3.66921e10 | 0.0360443 | ||||||||
\(467\) | −1.27587e12 | −1.24131 | −0.620654 | − | 0.784085i | \(-0.713133\pi\) | ||||
−0.620654 | + | 0.784085i | \(0.713133\pi\) | |||||||
\(468\) | 1.15613e12 | + | 5.56763e11i | 1.11404 | + | 0.536493i | ||||
\(469\) | 1.36554e11 | + | 5.98282e11i | 0.130325 | + | 0.570989i | ||||
\(470\) | −7.02793e10 | − | 8.81275e10i | −0.0664335 | − | 0.0833050i | ||||
\(471\) | −2.02276e11 | + | 2.53646e11i | −0.189387 | + | 0.237483i | ||||
\(472\) | −1.61765e12 | −1.50019 | ||||||||
\(473\) | 7.12532e11 | + | 1.16055e12i | 0.654529 | + | 1.06608i | ||||
\(474\) | 1.14552e12 | 1.04231 | ||||||||
\(475\) | 1.10796e12 | − | 1.38934e12i | 0.998626 | − | 1.25224i | ||||
\(476\) | 2.45262e12 | + | 3.07549e12i | 2.18977 | + | 2.74588i | ||||
\(477\) | 3.71196e11 | + | 1.62632e12i | 0.328300 | + | 1.43837i | ||||
\(478\) | −1.27583e12 | − | 6.14406e11i | −1.11781 | − | 0.538307i | ||||
\(479\) | 1.64505e12 | 1.42781 | 0.713905 | − | 0.700243i | \(-0.246925\pi\) | ||||
0.713905 | + | 0.700243i | \(0.246925\pi\) | |||||||
\(480\) | −5.77452e9 | −0.00496512 | ||||||||
\(481\) | 1.96321e11 | + | 9.45432e10i | 0.167230 | + | 0.0805337i | ||||
\(482\) | 2.24464e11 | − | 9.83442e11i | 0.189424 | − | 0.829921i | ||||
\(483\) | 2.10528e11 | − | 1.01385e11i | 0.176015 | − | 0.0847642i | ||||
\(484\) | −3.01896e11 | + | 1.32269e12i | −0.250065 | + | 1.09561i | ||||
\(485\) | 7.69588e10 | − | 9.65032e10i | 0.0631568 | − | 0.0791961i | ||||
\(486\) | 1.83820e12 | + | 8.85230e11i | 1.49462 | + | 0.719769i | ||||
\(487\) | 5.32470e11 | − | 6.67696e11i | 0.428958 | − | 0.537896i | −0.519638 | − | 0.854387i | \(-0.673933\pi\) |
0.948596 | + | 0.316490i | \(0.102504\pi\) | |||||||
\(488\) | 1.38065e11 | + | 6.04904e11i | 0.110204 | + | 0.482833i | ||||
\(489\) | −5.79932e11 | + | 2.79280e11i | −0.458656 | + | 0.220877i | ||||
\(490\) | 8.04744e10 | − | 3.87544e10i | 0.0630631 | − | 0.0303696i | ||||
\(491\) | −4.56975e11 | − | 5.73029e11i | −0.354835 | − | 0.444948i | 0.572093 | − | 0.820189i | \(-0.306132\pi\) |
−0.926928 | + | 0.375240i | \(0.877560\pi\) | |||||||
\(492\) | 1.44894e11 | + | 6.34820e11i | 0.111482 | + | 0.488436i | ||||
\(493\) | 5.19122e11 | − | 2.27442e12i | 0.395784 | − | 1.73404i | ||||
\(494\) | 1.90782e12 | + | 2.39233e12i | 1.44134 | + | 1.80738i | ||||
\(495\) | 2.88779e11 | + | 3.62118e11i | 0.216194 | + | 0.271098i | ||||
\(496\) | −1.03469e11 | + | 4.53328e11i | −0.0767615 | + | 0.336314i | ||||
\(497\) | −2.76985e11 | − | 1.21355e12i | −0.203635 | − | 0.892182i | ||||
\(498\) | −7.33584e11 | − | 9.19886e11i | −0.534464 | − | 0.670196i | ||||
\(499\) | −8.01752e10 | + | 3.86103e10i | −0.0578879 | + | 0.0278773i | −0.462604 | − | 0.886565i | \(-0.653085\pi\) |
0.404716 | + | 0.914442i | \(0.367370\pi\) | |||||||
\(500\) | −1.56888e12 | + | 7.55532e11i | −1.12260 | + | 0.540615i | ||||
\(501\) | −1.33736e11 | − | 5.85935e11i | −0.0948371 | − | 0.415509i | ||||
\(502\) | −1.35493e12 | + | 1.69903e12i | −0.952246 | + | 1.19408i | ||||
\(503\) | −1.53520e12 | − | 7.39312e11i | −1.06932 | − | 0.514958i | −0.185434 | − | 0.982657i | \(-0.559369\pi\) |
−0.883888 | + | 0.467699i | \(0.845083\pi\) | |||||||
\(504\) | 1.21056e12 | − | 1.51800e12i | 0.835701 | − | 1.04794i | ||||
\(505\) | −2.31679e10 | + | 1.01505e11i | −0.0158517 | + | 0.0694509i | ||||
\(506\) | −1.48157e12 | + | 7.13488e11i | −1.00472 | + | 0.483849i | ||||
\(507\) | 5.99476e10 | − | 2.62648e11i | 0.0402936 | − | 0.176538i | ||||
\(508\) | 9.28067e11 | + | 4.46934e11i | 0.618291 | + | 0.297753i | ||||
\(509\) | 2.28396e12 | 1.50820 | 0.754100 | − | 0.656759i | \(-0.228073\pi\) | ||||
0.754100 | + | 0.656759i | \(0.228073\pi\) | |||||||
\(510\) | 6.67075e11 | 0.436625 | ||||||||
\(511\) | −5.29587e11 | − | 2.55036e11i | −0.343592 | − | 0.165465i | ||||
\(512\) | −5.85132e11 | − | 2.56363e12i | −0.376304 | − | 1.64870i | ||||
\(513\) | 1.30693e12 | + | 1.63884e12i | 0.833153 | + | 1.04474i | ||||
\(514\) | 8.01131e11 | − | 1.00459e12i | 0.506255 | − | 0.634824i | ||||
\(515\) | −1.21224e11 | −0.0759377 | ||||||||
\(516\) | −1.31680e11 | − | 1.28878e12i | −0.0817706 | − | 0.800302i | ||||
\(517\) | −3.77928e11 | −0.232649 | ||||||||
\(518\) | 4.13368e11 | − | 5.18346e11i | 0.252262 | − | 0.316327i | ||||
\(519\) | −8.23652e11 | − | 1.03283e12i | −0.498300 | − | 0.624848i | ||||
\(520\) | −1.56262e11 | − | 6.84627e11i | −0.0937212 | − | 0.410619i | ||||
\(521\) | −5.50284e11 | − | 2.65003e11i | −0.327203 | − | 0.157573i | 0.263069 | − | 0.964777i | \(-0.415265\pi\) |
−0.590272 | + | 0.807204i | \(0.700980\pi\) | |||||||
\(522\) | −2.31550e12 | −1.36498 | ||||||||
\(523\) | 8.88766e11 | 0.519433 | 0.259717 | − | 0.965685i | \(-0.416371\pi\) | ||||
0.259717 | + | 0.965685i | \(0.416371\pi\) | |||||||
\(524\) | −5.00241e12 | − | 2.40903e12i | −2.89860 | − | 1.39589i | ||||
\(525\) | 1.30647e11 | − | 5.72402e11i | 0.0750555 | − | 0.328840i | ||||
\(526\) | −4.89544e12 | + | 2.35752e12i | −2.78841 | + | 1.34283i | ||||
\(527\) | −2.64658e11 | + | 1.15954e12i | −0.149464 | + | 0.654847i | ||||
\(528\) | 5.45180e11 | − | 6.83634e11i | 0.305272 | − | 0.382799i | ||||
\(529\) | 1.19138e12 | + | 5.73741e11i | 0.661457 | + | 0.318541i | ||||
\(530\) | 1.14455e12 | − | 1.43522e12i | 0.630077 | − | 0.790091i | ||||
\(531\) | 2.99094e11 | + | 1.31042e12i | 0.163261 | + | 0.715293i | ||||
\(532\) | 5.58205e12 | − | 2.68817e12i | 3.02128 | − | 1.45497i | ||||
\(533\) | 7.76916e11 | − | 3.74143e11i | 0.416967 | − | 0.200801i | ||||
\(534\) | 1.00983e12 | + | 1.26629e12i | 0.537418 | + | 0.673901i | ||||
\(535\) | 2.47951e11 | + | 1.08634e12i | 0.130850 | + | 0.573292i | ||||
\(536\) | −4.54609e11 | + | 1.99177e12i | −0.237901 | + | 1.04231i | ||||
\(537\) | 3.23799e11 | + | 4.06031e11i | 0.168032 | + | 0.210705i | ||||
\(538\) | 3.61623e12 | + | 4.53461e12i | 1.86095 | + | 2.33356i | ||||
\(539\) | 6.66391e10 | − | 2.91965e11i | 0.0340079 | − | 0.148998i | ||||
\(540\) | −2.15257e11 | − | 9.43101e11i | −0.108939 | − | 0.477294i | ||||
\(541\) | −7.16527e11 | − | 8.98497e11i | −0.359621 | − | 0.450950i | 0.568802 | − | 0.822474i | \(-0.307407\pi\) |
−0.928423 | + | 0.371524i | \(0.878835\pi\) | |||||||
\(542\) | 1.35681e12 | − | 6.53405e11i | 0.675339 | − | 0.325226i | ||||
\(543\) | 1.11824e11 | − | 5.38518e10i | 0.0551997 | − | 0.0265828i | ||||
\(544\) | −3.17340e10 | − | 1.39036e11i | −0.0155357 | − | 0.0680663i | ||||
\(545\) | 1.67747e11 | − | 2.10348e11i | 0.0814459 | − | 0.102130i | ||||
\(546\) | 9.10861e11 | + | 4.38648e11i | 0.438617 | + | 0.211227i | ||||
\(547\) | 2.09917e11 | − | 2.63228e11i | 0.100255 | − | 0.125716i | −0.729173 | − | 0.684329i | \(-0.760095\pi\) |
0.829428 | + | 0.558614i | \(0.188667\pi\) | |||||||
\(548\) | 1.26050e12 | − | 5.52261e12i | 0.597077 | − | 2.61596i | ||||
\(549\) | 4.64488e11 | − | 2.23686e11i | 0.218222 | − | 0.105090i | ||||
\(550\) | −9.19416e11 | + | 4.02823e12i | −0.428430 | + | 1.87708i | ||||
\(551\) | −3.31048e12 | − | 1.59425e12i | −1.53006 | − | 0.736839i | ||||
\(552\) | 7.77920e11 | 0.356623 | ||||||||
\(553\) | −3.07159e12 | −1.39669 | ||||||||
\(554\) | −4.70156e12 | − | 2.26415e12i | −2.12055 | − | 1.02120i | ||||
\(555\) | −1.66486e10 | − | 7.29422e10i | −0.00744833 | − | 0.0326333i | ||||
\(556\) | 2.41649e12 | + | 3.03019e12i | 1.07238 | + | 1.34472i | ||||
\(557\) | 7.73061e11 | − | 9.69388e11i | 0.340303 | − | 0.426726i | −0.582003 | − | 0.813186i | \(-0.697731\pi\) |
0.922306 | + | 0.386460i | \(0.126302\pi\) | |||||||
\(558\) | 1.18049e12 | 0.515475 | ||||||||
\(559\) | −1.62513e12 | + | 5.49794e11i | −0.703939 | + | 0.238148i | ||||
\(560\) | −6.99297e11 | −0.300480 | ||||||||
\(561\) | 1.39449e12 | − | 1.74863e12i | 0.594403 | − | 0.745358i | ||||
\(562\) | 5.50338e10 | + | 6.90102e10i | 0.0232711 | + | 0.0291810i | ||||
\(563\) | −2.53874e11 | − | 1.11230e12i | −0.106495 | − | 0.466587i | −0.999851 | − | 0.0172372i | \(-0.994513\pi\) |
0.893356 | − | 0.449349i | \(-0.148344\pi\) | |||||||
\(564\) | 3.23913e11 | + | 1.55988e11i | 0.134794 | + | 0.0649136i | ||||
\(565\) | 5.23016e11 | 0.215922 | ||||||||
\(566\) | −2.85925e12 | −1.17106 | ||||||||
\(567\) | −1.11374e12 | − | 5.36350e11i | −0.452544 | − | 0.217934i | ||||
\(568\) | 9.22124e11 | − | 4.04009e12i | 0.371725 | − | 1.62863i | ||||
\(569\) | 1.07988e12 | − | 5.20045e11i | 0.431889 | − | 0.207987i | −0.205292 | − | 0.978701i | \(-0.565815\pi\) |
0.637181 | + | 0.770714i | \(0.280100\pi\) | |||||||
\(570\) | 2.33792e11 | − | 1.02431e12i | 0.0927667 | − | 0.406437i | ||||
\(571\) | 6.50892e11 | − | 8.16193e11i | 0.256240 | − | 0.321315i | −0.637027 | − | 0.770842i | \(-0.719836\pi\) |
0.893267 | + | 0.449527i | \(0.148407\pi\) | |||||||
\(572\) | −4.26570e12 | − | 2.05425e12i | −1.66613 | − | 0.802365i | ||||
\(573\) | −1.13685e12 | + | 1.42556e12i | −0.440561 | + | 0.552446i | ||||
\(574\) | −5.83829e11 | − | 2.55792e12i | −0.224482 | − | 0.983521i | ||||
\(575\) | −1.08394e12 | + | 5.21998e11i | −0.413523 | + | 0.199142i | ||||
\(576\) | −2.05433e12 | + | 9.89312e11i | −0.777622 | + | 0.374483i | ||||
\(577\) | 2.43369e12 | + | 3.05175e12i | 0.914059 | + | 1.14619i | 0.988838 | + | 0.148993i | \(0.0476033\pi\) |
−0.0747793 | + | 0.997200i | \(0.523825\pi\) | |||||||
\(578\) | 2.63358e12 | + | 1.15385e13i | 0.981458 | + | 4.30005i | ||||
\(579\) | −2.54024e11 | + | 1.11295e12i | −0.0939338 | + | 0.411551i | ||||
\(580\) | 1.05724e12 | + | 1.32573e12i | 0.387924 | + | 0.486442i | ||||
\(581\) | 1.96703e12 | + | 2.46658e12i | 0.716175 | + | 0.898055i | ||||
\(582\) | −1.31642e11 | + | 5.76761e11i | −0.0475599 | + | 0.208373i | ||||
\(583\) | −1.36958e12 | − | 6.00051e12i | −0.490996 | − | 2.15120i | ||||
\(584\) | −1.22009e12 | − | 1.52994e12i | −0.434044 | − | 0.544273i | ||||
\(585\) | −5.25705e11 | + | 2.53166e11i | −0.185584 | + | 0.0893727i | ||||
\(586\) | −8.02583e12 | + | 3.86504e12i | −2.81158 | + | 1.35399i | ||||
\(587\) | 7.70723e11 | + | 3.37676e12i | 0.267933 | + | 1.17389i | 0.912413 | + | 0.409271i | \(0.134217\pi\) |
−0.644480 | + | 0.764622i | \(0.722926\pi\) | |||||||
\(588\) | −1.77622e11 | + | 2.22731e11i | −0.0612773 | + | 0.0768392i | ||||
\(589\) | 1.68775e12 | + | 8.12777e11i | 0.577816 | + | 0.278261i | ||||
\(590\) | 9.22230e11 | − | 1.15644e12i | 0.313332 | − | 0.392906i | ||||
\(591\) | 2.05098e11 | − | 8.98592e11i | 0.0691540 | − | 0.302983i | ||||
\(592\) | 6.50849e11 | − | 3.13433e11i | 0.217787 | − | 0.104881i | ||||
\(593\) | −1.52501e11 | + | 6.68150e11i | −0.0506438 | + | 0.221885i | −0.993917 | − | 0.110133i | \(-0.964872\pi\) |
0.943273 | + | 0.332018i | \(0.107729\pi\) | |||||||
\(594\) | −4.39117e12 | − | 2.11468e12i | −1.44724 | − | 0.696955i | ||||
\(595\) | −1.78869e12 | −0.585073 | ||||||||
\(596\) | 1.23495e12 | 0.400906 | ||||||||
\(597\) | −1.10047e12 | − | 5.29957e11i | −0.354563 | − | 0.170748i | ||||
\(598\) | −4.60978e11 | − | 2.01968e12i | −0.147409 | − | 0.645842i | ||||
\(599\) | −2.18473e12 | − | 2.73957e12i | −0.693390 | − | 0.869484i | 0.303120 | − | 0.952952i | \(-0.401972\pi\) |
−0.996510 | + | 0.0834683i | \(0.973400\pi\) | |||||||
\(600\) | 1.21869e12 | − | 1.52818e12i | 0.383894 | − | 0.481388i | ||||
\(601\) | 3.27499e12 | 1.02394 | 0.511971 | − | 0.859003i | \(-0.328916\pi\) | ||||
0.511971 | + | 0.859003i | \(0.328916\pi\) | |||||||
\(602\) | 5.30588e11 | + | 5.19295e12i | 0.164654 | + | 1.61150i | ||||
\(603\) | 1.69753e12 | 0.522866 | ||||||||
\(604\) | 2.12073e12 | − | 2.65931e12i | 0.648364 | − | 0.813023i | ||||
\(605\) | −3.84637e11 | − | 4.82320e11i | −0.116722 | − | 0.146365i | ||||
\(606\) | −1.11041e11 | − | 4.86501e11i | −0.0334469 | − | 0.146540i | ||||
\(607\) | −8.79875e11 | − | 4.23726e11i | −0.263070 | − | 0.126688i | 0.297700 | − | 0.954660i | \(-0.403781\pi\) |
−0.560770 | + | 0.827972i | \(0.689495\pi\) | |||||||
\(608\) | −2.24615e11 | −0.0666610 | ||||||||
\(609\) | −1.21399e12 | −0.357633 | ||||||||
\(610\) | −5.11149e11 | − | 2.46156e11i | −0.149473 | − | 0.0719825i | ||||
\(611\) | 1.05944e11 | − | 4.64170e11i | 0.0307532 | − | 0.134738i | ||||
\(612\) | 9.80381e12 | − | 4.72127e12i | 2.82497 | − | 1.36043i | ||||
\(613\) | −9.59839e11 | + | 4.20533e12i | −0.274553 | + | 1.20289i | 0.630021 | + | 0.776578i | \(0.283046\pi\) |
−0.904574 | + | 0.426317i | \(0.859811\pi\) | |||||||
\(614\) | 1.49555e12 | − | 1.87536e12i | 0.424662 | − | 0.532509i | ||||
\(615\) | −2.66762e11 | − | 1.28466e11i | −0.0751945 | − | 0.0362117i | ||||
\(616\) | −4.46654e12 | + | 5.60087e12i | −1.24985 | + | 1.56726i | ||||
\(617\) | 3.65275e11 | + | 1.60037e12i | 0.101470 | + | 0.444568i | 0.999984 | + | 0.00562417i | \(0.00179024\pi\) |
−0.898514 | + | 0.438944i | \(0.855353\pi\) | |||||||
\(618\) | 5.23473e11 | − | 2.52091e11i | 0.144360 | − | 0.0695200i | ||||
\(619\) | 1.26034e12 | − | 6.06947e11i | 0.345048 | − | 0.166166i | −0.253331 | − | 0.967380i | \(-0.581526\pi\) |
0.598379 | + | 0.801213i | \(0.295812\pi\) | |||||||
\(620\) | −5.39001e11 | − | 6.75886e11i | −0.146496 | − | 0.183701i | ||||
\(621\) | −3.15788e11 | − | 1.38356e12i | −0.0852086 | − | 0.373323i | ||||
\(622\) | 1.50389e12 | − | 6.58896e12i | 0.402864 | − | 1.76506i | ||||
\(623\) | −2.70776e12 | − | 3.39542e12i | −0.720135 | − | 0.903020i | ||||
\(624\) | 6.86809e11 | + | 8.61231e11i | 0.181345 | + | 0.227399i | ||||
\(625\) | −5.79444e11 | + | 2.53871e12i | −0.151898 | + | 0.665508i | ||||
\(626\) | 2.17821e12 | + | 9.54336e12i | 0.566912 | + | 2.48380i | ||||
\(627\) | −2.19633e12 | − | 2.75411e12i | −0.567536 | − | 0.711668i | ||||
\(628\) | 5.24696e12 | − | 2.52680e12i | 1.34614 | − | 0.648266i | ||||
\(629\) | 1.66477e12 | − | 8.01712e11i | 0.424060 | − | 0.204216i | ||||
\(630\) | 3.95051e11 | + | 1.73083e12i | 0.0999128 | + | 0.437747i | ||||
\(631\) | 2.01256e12 | − | 2.52367e12i | 0.505378 | − | 0.633724i | −0.462055 | − | 0.886851i | \(-0.652888\pi\) |
0.967433 | + | 0.253127i | \(0.0814591\pi\) | |||||||
\(632\) | −9.21312e12 | − | 4.43681e12i | −2.29710 | − | 1.10623i | ||||
\(633\) | −3.84425e10 | + | 4.82054e10i | −0.00951688 | + | 0.0119338i | ||||
\(634\) | 6.50775e11 | − | 2.85123e12i | 0.159967 | − | 0.700859i | ||||
\(635\) | −4.22003e11 | + | 2.03226e11i | −0.102999 | + | 0.0496018i | ||||
\(636\) | −1.30286e12 | + | 5.70819e12i | −0.315747 | + | 1.38338i | ||||
\(637\) | 3.39910e11 | + | 1.63692e11i | 0.0817968 | + | 0.0393913i | ||||
\(638\) | 8.54335e12 | 2.04143 | ||||||||
\(639\) | −3.44326e12 | −0.816988 | ||||||||
\(640\) | 2.21375e12 | + | 1.06609e12i | 0.521577 | + | 0.251178i | ||||
\(641\) | −1.26603e12 | − | 5.54682e12i | −0.296198 | − | 1.29773i | −0.875739 | − | 0.482784i | \(-0.839626\pi\) |
0.579542 | − | 0.814943i | \(-0.303232\pi\) | |||||||
\(642\) | −3.32981e12 | − | 4.17545e12i | −0.773591 | − | 0.970053i | ||||
\(643\) | 1.71682e12 | − | 2.15283e12i | 0.396074 | − | 0.496660i | −0.543308 | − | 0.839533i | \(-0.682829\pi\) |
0.939382 | + | 0.342873i | \(0.111400\pi\) | |||||||
\(644\) | −4.19455e12 | −0.960945 | ||||||||
\(645\) | 4.95502e11 | + | 3.18565e11i | 0.112727 | + | 0.0724735i | ||||
\(646\) | 2.59476e13 | 5.86206 | ||||||||
\(647\) | −2.01567e12 | + | 2.52756e12i | −0.452219 | + | 0.567065i | −0.954718 | − | 0.297513i | \(-0.903843\pi\) |
0.502498 | + | 0.864578i | \(0.332414\pi\) | |||||||
\(648\) | −2.56589e12 | − | 3.21752e12i | −0.571677 | − | 0.716860i | ||||
\(649\) | −1.10355e12 | − | 4.83496e12i | −0.244169 | − | 1.06977i | ||||
\(650\) | −4.68972e12 | − | 2.25845e12i | −1.03047 | − | 0.496250i | ||||
\(651\) | 6.18917e11 | 0.135057 | ||||||||
\(652\) | 1.15545e13 | 2.50401 | ||||||||
\(653\) | 3.23703e11 | + | 1.55887e11i | 0.0696686 | + | 0.0335506i | 0.468394 | − | 0.883520i | \(-0.344833\pi\) |
−0.398725 | + | 0.917071i | \(0.630547\pi\) | |||||||
\(654\) | −2.86939e11 | + | 1.25716e12i | −0.0613324 | + | 0.268715i | ||||
\(655\) | 2.27465e12 | − | 1.09542e12i | 0.482869 | − | 0.232537i | ||||
\(656\) | 6.36135e11 | − | 2.78709e12i | 0.134116 | − | 0.587602i | ||||
\(657\) | −1.01378e12 | + | 1.27123e12i | −0.212274 | + | 0.266184i | ||||
\(658\) | −1.30516e12 | − | 6.28533e11i | −0.271424 | − | 0.130711i | ||||
\(659\) | −5.36958e12 | + | 6.73324e12i | −1.10906 | + | 1.39072i | −0.197132 | + | 0.980377i | \(0.563163\pi\) |
−0.911931 | + | 0.410344i | \(0.865409\pi\) | |||||||
\(660\) | 3.61744e11 | + | 1.58490e12i | 0.0742084 | + | 0.325128i | ||||
\(661\) | 1.49177e12 | − | 7.18401e11i | 0.303946 | − | 0.146373i | −0.275694 | − | 0.961246i | \(-0.588908\pi\) |
0.579640 | + | 0.814873i | \(0.303193\pi\) | |||||||
\(662\) | −1.06770e13 | + | 5.14177e12i | −2.16067 | + | 1.04052i | ||||
\(663\) | 1.75675e12 | + | 2.20290e12i | 0.353101 | + | 0.442775i | ||||
\(664\) | 2.33715e12 | + | 1.02397e13i | 0.466585 | + | 2.04424i | ||||
\(665\) | −6.26889e11 | + | 2.74658e12i | −0.124306 | + | 0.544622i | ||||
\(666\) | −1.14346e12 | − | 1.43385e12i | −0.225210 | − | 0.282404i | ||||
\(667\) | 1.55100e12 | + | 1.94489e12i | 0.303421 | + | 0.380478i | ||||
\(668\) | −2.40067e12 | + | 1.05180e13i | −0.466485 | + | 2.04381i | ||||
\(669\) | 4.36317e11 | + | 1.91163e12i | 0.0842141 | + | 0.368966i | ||||
\(670\) | −1.16472e12 | − | 1.46051e12i | −0.223298 | − | 0.280006i | ||||
\(671\) | −1.71379e12 | + | 8.25319e11i | −0.326367 | + | 0.157170i | ||||
\(672\) | −6.68624e10 | + | 3.21992e10i | −0.0126480 | + | 0.00609093i | ||||
\(673\) | 5.03464e11 | + | 2.20582e12i | 0.0946021 | + | 0.414479i | 0.999948 | − | 0.0101961i | \(-0.00324557\pi\) |
−0.905346 | + | 0.424675i | \(0.860388\pi\) | |||||||
\(674\) | −5.09523e12 | + | 6.38921e12i | −0.951030 | + | 1.19255i | ||||
\(675\) | −3.21264e12 | − | 1.54713e12i | −0.595656 | − | 0.286853i | ||||
\(676\) | −3.01519e12 | + | 3.78093e12i | −0.555334 | + | 0.696367i | ||||
\(677\) | 7.03720e11 | − | 3.08320e12i | 0.128751 | − | 0.564095i | −0.868863 | − | 0.495053i | \(-0.835149\pi\) |
0.997614 | − | 0.0690420i | \(-0.0219942\pi\) | |||||||
\(678\) | −2.25850e12 | + | 1.08764e12i | −0.410475 | + | 0.197674i | ||||
\(679\) | 3.52985e11 | − | 1.54653e12i | 0.0637297 | − | 0.279218i | ||||
\(680\) | −5.36513e12 | − | 2.58371e12i | −0.962254 | − | 0.463397i | ||||
\(681\) | 7.30962e11 | 0.130237 | ||||||||
\(682\) | −4.35557e12 | −0.770931 | ||||||||
\(683\) | 5.79878e12 | + | 2.79255e12i | 1.01963 | + | 0.491029i | 0.867556 | − | 0.497339i | \(-0.165690\pi\) |
0.152077 | + | 0.988369i | \(0.451404\pi\) | |||||||
\(684\) | −3.81364e12 | − | 1.67086e13i | −0.666173 | − | 2.91870i | ||||
\(685\) | 1.60597e12 | + | 2.01382e12i | 0.278695 | + | 0.349473i | ||||
\(686\) | 6.57402e12 | − | 8.24356e12i | 1.13337 | − | 1.42120i | ||||
\(687\) | 2.51080e12 | 0.430038 | ||||||||
\(688\) | −1.93413e12 | + | 5.34869e12i | −0.329107 | + | 0.910122i | ||||
\(689\) | 7.75375e12 | 1.31077 | ||||||||
\(690\) | −4.43495e11 | + | 5.56125e11i | −0.0744848 | + | 0.0934009i | ||||
\(691\) | 6.48508e12 | + | 8.13203e12i | 1.08209 | + | 1.35690i | 0.929590 | + | 0.368596i | \(0.120161\pi\) |
0.152502 | + | 0.988303i | \(0.451267\pi\) | |||||||
\(692\) | 5.27679e12 | + | 2.31191e13i | 0.874766 | + | 3.83260i | ||||
\(693\) | 5.36294e12 | + | 2.58266e12i | 0.883290 | + | 0.425370i | ||||
\(694\) | −1.35844e13 | −2.22291 | ||||||||
\(695\) | −1.76235e12 | −0.286524 | ||||||||
\(696\) | −3.64133e12 | − | 1.75357e12i | −0.588191 | − | 0.283258i | ||||
\(697\) | 1.62714e12 | − | 7.12895e12i | 0.261142 | − | 1.14414i | ||||
\(698\) | −9.51272e12 | + | 4.58108e12i | −1.51689 | + | 0.730498i | ||||
\(699\) | 1.18413e10 | − | 5.18802e10i | 0.00187609 | − | 0.00821967i | ||||
\(700\) | −6.57116e12 | + | 8.23998e12i | −1.03443 | + | 1.29713i | ||||
\(701\) | −1.34741e12 | − | 6.48878e11i | −0.210750 | − | 0.101492i | 0.325531 | − | 0.945531i | \(-0.394457\pi\) |
−0.536281 | + | 0.844039i | \(0.680171\pi\) | |||||||
\(702\) | 3.82821e12 | − | 4.80042e12i | 0.594948 | − | 0.746041i | ||||
\(703\) | −6.47589e11 | − | 2.83727e12i | −0.100000 | − | 0.438129i | ||||
\(704\) | 7.57972e12 | − | 3.65020e12i | 1.16299 | − | 0.560067i | ||||
\(705\) | −1.47287e11 | + | 7.09296e10i | −0.0224550 | + | 0.0108138i | ||||
\(706\) | 6.81199e12 | + | 8.54196e12i | 1.03194 | + | 1.29401i | ||||
\(707\) | 2.97745e11 | + | 1.30450e12i | 0.0448184 | + | 0.196362i | ||||
\(708\) | −1.04979e12 | + | 4.59941e12i | −0.157019 | + | 0.687944i | ||||
\(709\) | −6.89484e12 | − | 8.64585e12i | −1.02475 | − | 1.28499i | −0.957862 | − | 0.287229i | \(-0.907266\pi\) |
−0.0668837 | − | 0.997761i | \(-0.521306\pi\) | |||||||
\(710\) | 2.36250e12 | + | 2.96248e12i | 0.348907 | + | 0.437515i | ||||
\(711\) | −1.89068e12 | + | 8.28363e12i | −0.277463 | + | 1.21565i | ||||
\(712\) | −3.21725e12 | − | 1.40957e13i | −0.469165 | − | 2.05555i | ||||
\(713\) | −7.90731e11 | − | 9.91545e11i | −0.114584 | − | 0.143684i | ||||
\(714\) | 7.72397e12 | − | 3.71967e12i | 1.11224 | − | 0.535627i | ||||
\(715\) | 1.93966e12 | − | 9.34092e11i | 0.277555 | − | 0.133663i | ||||
\(716\) | −2.07444e12 | − | 9.08871e12i | −0.294980 | − | 1.29239i | ||||
\(717\) | −1.28046e12 | + | 1.60565e12i | −0.180939 | + | 0.226890i | ||||
\(718\) | 9.57466e12 | + | 4.61091e12i | 1.34451 | + | 0.647481i | ||||
\(719\) | 3.46438e12 | − | 4.34420e12i | 0.483444 | − | 0.606219i | −0.478962 | − | 0.877836i | \(-0.658987\pi\) |
0.962406 | + | 0.271616i | \(0.0875582\pi\) | |||||||
\(720\) | −4.30445e11 | + | 1.88590e12i | −0.0596927 | + | 0.261531i | ||||
\(721\) | −1.40364e12 | + | 6.75958e11i | −0.193441 | + | 0.0931561i | ||||
\(722\) | 6.28481e12 | − | 2.75356e13i | 0.860746 | − | 3.77118i | ||||
\(723\) | −1.31808e12 | − | 6.34754e11i | −0.179399 | − | 0.0863939i | ||||
\(724\) | −2.22798e12 | −0.301361 | ||||||||
\(725\) | 6.25044e12 | 0.840213 | ||||||||
\(726\) | 2.66395e12 | + | 1.28289e12i | 0.355887 | + | 0.171386i | ||||
\(727\) | −1.82883e12 | − | 8.01264e12i | −0.242812 | − | 1.06383i | −0.938445 | − | 0.345430i | \(-0.887733\pi\) |
0.695633 | − | 0.718397i | \(-0.255124\pi\) | |||||||
\(728\) | −5.62688e12 | − | 7.05588e12i | −0.742466 | − | 0.931023i | ||||
\(729\) | −7.03996e11 | + | 8.82783e11i | −0.0923201 | + | 0.115766i | ||||
\(730\) | 1.78931e12 | 0.233202 | ||||||||
\(731\) | −4.94720e12 | + | 1.36811e13i | −0.640813 | + | 1.77212i | ||||
\(732\) | 1.80950e12 | 0.232948 | ||||||||
\(733\) | −2.91543e12 | + | 3.65584e12i | −0.373023 | + | 0.467756i | −0.932542 | − | 0.361062i | \(-0.882414\pi\) |
0.559519 | + | 0.828817i | \(0.310986\pi\) | |||||||
\(734\) | −2.10595e12 | − | 2.64078e12i | −0.267803 | − | 0.335815i | ||||
\(735\) | −2.88253e10 | − | 1.26292e11i | −0.00364319 | − | 0.0159618i | ||||
\(736\) | 1.37009e11 | + | 6.59800e10i | 0.0172107 | + | 0.00828824i | ||||
\(737\) | −6.26328e12 | −0.781984 | ||||||||
\(738\) | −7.25771e12 | −0.900629 | ||||||||
\(739\) | −9.75550e12 | − | 4.69800e12i | −1.20323 | − | 0.579446i | −0.278637 | − | 0.960396i | \(-0.589883\pi\) |
−0.924596 | + | 0.380950i | \(0.875597\pi\) | |||||||
\(740\) | −2.98856e11 | + | 1.30937e12i | −0.0366369 | + | 0.160517i | ||||
\(741\) | 3.99829e12 | − | 1.92547e12i | 0.487183 | − | 0.234615i | ||||
\(742\) | 5.24968e12 | − | 2.30003e13i | 0.635792 | − | 2.78559i | ||||
\(743\) | 1.78202e12 | − | 2.23458e12i | 0.214517 | − | 0.268996i | −0.662917 | − | 0.748693i | \(-0.730682\pi\) |
0.877434 | + | 0.479697i | \(0.159253\pi\) | |||||||
\(744\) | 1.85642e12 | + | 8.94005e11i | 0.222125 | + | 0.106970i | ||||
\(745\) | −3.50119e11 | + | 4.39035e11i | −0.0416402 | + | 0.0522151i | ||||
\(746\) | −3.70235e12 | − | 1.62210e13i | −0.437676 | − | 1.91758i | ||||
\(747\) | 7.86280e12 | − | 3.78652e12i | 0.923920 | − | 0.444937i | ||||
\(748\) | −3.61725e13 | + | 1.74198e13i | −4.22495 | + | 2.03463i | ||||
\(749\) | 8.92855e12 | + | 1.11961e13i | 1.03660 | + | 1.29986i | ||||
\(750\) | 8.44464e11 | + | 3.69984e12i | 0.0974553 | + | 0.426979i | ||||
\(751\) | −1.50275e12 | + | 6.58398e12i | −0.172388 | + | 0.755281i | 0.812623 | + | 0.582790i | \(0.198039\pi\) |
−0.985011 | + | 0.172491i | \(0.944818\pi\) | |||||||
\(752\) | −9.84119e11 | − | 1.23405e12i | −0.112219 | − | 0.140719i | ||||
\(753\) | 1.96504e12 | + | 2.46409e12i | 0.222738 | + | 0.279305i | ||||
\(754\) | −2.39494e12 | + | 1.04929e13i | −0.269851 | + | 1.18229i | ||||
\(755\) | 3.44162e11 | + | 1.50787e12i | 0.0385479 | + | 0.168890i | ||||
\(756\) | −7.75124e12 | − | 9.71975e12i | −0.863025 | − | 1.08220i | ||||
\(757\) | 1.97449e12 | − | 9.50867e11i | 0.218537 | − | 0.105242i | −0.321413 | − | 0.946939i | \(-0.604158\pi\) |
0.539949 | + | 0.841697i | \(0.318443\pi\) | |||||||
\(758\) | 1.68533e13 | − | 8.11614e12i | 1.85428 | − | 0.892973i | ||||
\(759\) | 5.30689e11 | + | 2.32510e12i | 0.0580433 | + | 0.254304i | ||||
\(760\) | −5.84767e12 | + | 7.33275e12i | −0.635802 | + | 0.797270i | ||||
\(761\) | −6.66709e12 | − | 3.21070e12i | −0.720619 | − | 0.347032i | 0.0373681 | − | 0.999302i | \(-0.488103\pi\) |
−0.757987 | + | 0.652270i | \(0.773817\pi\) | |||||||
\(762\) | 1.39968e12 | − | 1.75515e12i | 0.150395 | − | 0.188589i | ||||
\(763\) | 7.69399e11 | − | 3.37096e12i | 0.0821847 | − | 0.360075i | ||||
\(764\) | 2.94894e13 | − | 1.42014e13i | 3.13145 | − | 1.50803i | ||||
\(765\) | −1.10101e12 | + | 4.82385e12i | −0.116229 | + | 0.509234i | ||||
\(766\) | −1.74550e13 | − | 8.40590e12i | −1.83186 | − | 0.882175i | ||||
\(767\) | 6.24764e12 | 0.651834 | ||||||||
\(768\) | −7.75325e12 | −0.804190 | ||||||||
\(769\) | 1.13974e13 | + | 5.48872e12i | 1.17527 | + | 0.565981i | 0.916530 | − | 0.399965i | \(-0.130978\pi\) |
0.258742 | + | 0.965946i | \(0.416692\pi\) | |||||||
\(770\) | −1.45760e12 | − | 6.38615e12i | −0.149427 | − | 0.654682i | ||||
\(771\) | −1.16188e12 | − | 1.45695e12i | −0.118417 | − | 0.148490i | ||||
\(772\) | 1.27767e13 | − | 1.60214e13i | 1.29461 | − | 1.62339i | ||||
\(773\) | −1.83389e13 | −1.84742 | −0.923711 | − | 0.383089i | \(-0.874860\pi\) | ||||
−0.923711 | + | 0.383089i | \(0.874860\pi\) | |||||||
\(774\) | 1.43312e13 | + | 1.76555e12i | 1.43532 | + | 0.176825i | ||||
\(775\) | −3.18660e12 | −0.317300 | ||||||||
\(776\) | 3.29267e12 | − | 4.12888e12i | 0.325965 | − | 0.408747i | ||||
\(777\) | −5.99504e11 | − | 7.51755e11i | −0.0590062 | − | 0.0739914i | ||||
\(778\) | −4.48859e12 | − | 1.96658e13i | −0.439240 | − | 1.92444i | ||||
\(779\) | −1.03764e13 | − | 4.99700e12i | −1.00955 | − | 0.486173i | ||||
\(780\) | −2.04798e12 | −0.198107 | ||||||||
\(781\) | 1.27044e13 | 1.22187 | ||||||||
\(782\) | −1.58273e13 | − | 7.62204e12i | −1.51348 | − | 0.728854i | ||||
\(783\) | −1.64063e12 | + | 7.18807e12i | −0.155985 | + | 0.683415i | ||||
\(784\) | 1.12688e12 | − | 5.42677e11i | 0.106526 | − | 0.0513002i | ||||
\(785\) | −5.89257e11 | + | 2.58170e12i | −0.0553849 | + | 0.242657i | ||||
\(786\) | −7.54448e12 | + | 9.46048e12i | −0.705063 | + | 0.884121i | ||||
\(787\) | −1.62423e13 | − | 7.82190e12i | −1.50925 | − | 0.726819i | −0.517585 | − | 0.855632i | \(-0.673169\pi\) |
−0.991669 | + | 0.128813i | \(0.958883\pi\) | |||||||
\(788\) | −1.03158e13 | + | 1.29356e13i | −0.953093 | + | 1.19514i | ||||
\(789\) | 1.75351e12 | + | 7.68264e12i | 0.161088 | + | 0.705771i | ||||
\(790\) | 8.42424e12 | − | 4.05690e12i | 0.769501 | − | 0.370572i | ||||
\(791\) | 6.05594e12 | − | 2.91639e12i | 0.550031 | − | 0.264881i | ||||
\(792\) | 1.23554e13 | + | 1.54932e13i | 1.11582 | + | 1.39919i | ||||
\(793\) | −5.33231e11 | − | 2.33624e12i | −0.0478835 | − | 0.209791i | ||||
\(794\) | −1.66425e12 | + | 7.29156e12i | −0.148603 | + | 0.651071i | ||||
\(795\) | −1.65993e12 | − | 2.08149e12i | −0.147380 | − | 0.184809i | ||||
\(796\) | 1.36704e13 | + | 1.71421e13i | 1.20690 | + | 1.51341i | ||||
\(797\) | −4.95644e12 | + | 2.17156e13i | −0.435118 | + | 1.90638i | −0.0128260 | + | 0.999918i | \(0.504083\pi\) |
−0.422292 | + | 0.906460i | \(0.638774\pi\) | |||||||
\(798\) | −3.00459e12 | − | 1.31640e13i | −0.262284 | − | 1.14914i | ||||
\(799\) | −2.51723e12 | − | 3.15650e12i | −0.218505 | − | 0.273997i | ||||
\(800\) | 3.44252e11 | − | 1.65783e11i | 0.0297147 | − | 0.0143099i | ||||
\(801\) | −1.08237e13 | + | 5.21241e12i | −0.929028 | + | 0.447396i | ||||
\(802\) | 6.12618e12 | + | 2.68405e13i | 0.522884 | + | 2.29090i | ||||
\(803\) | 3.74046e12 | − | 4.69039e12i | 0.317472 | − | 0.398097i | ||||
\(804\) | 5.36811e12 | + | 2.58514e12i | 0.453074 | + | 0.218189i | ||||
\(805\) | 1.18919e12 | − | 1.49119e12i | 0.0998088 | − | 0.125156i | ||||
\(806\) | 1.22099e12 | − | 5.34950e12i | 0.101907 | − | 0.446484i | ||||
\(807\) | 7.57866e12 | − | 3.64969e12i | 0.629016 | − | 0.302918i | ||||
\(808\) | −9.91238e11 | + | 4.34290e12i | −0.0818138 | + | 0.358450i | ||||
\(809\) | −9.20728e12 | − | 4.43399e12i | −0.755723 | − | 0.363937i | 0.0160197 | − | 0.999872i | \(-0.494901\pi\) |
−0.771743 | + | 0.635934i | \(0.780615\pi\) | |||||||
\(810\) | 3.76299e12 | 0.307150 | ||||||||
\(811\) | −1.47158e12 | −0.119451 | −0.0597256 | − | 0.998215i | \(-0.519023\pi\) | ||||
−0.0597256 | + | 0.998215i | \(0.519023\pi\) | |||||||
\(812\) | 1.96340e13 | + | 9.45526e12i | 1.58492 | + | 0.763258i | ||||
\(813\) | −4.85999e11 | − | 2.12930e12i | −0.0390147 | − | 0.170935i | ||||
\(814\) | 4.21895e12 | + | 5.29040e12i | 0.336818 | + | 0.422356i | ||||
\(815\) | −3.27579e12 | + | 4.10771e12i | −0.260080 | + | 0.326130i | ||||
\(816\) | 9.34103e12 | 0.737546 | ||||||||
\(817\) | 1.92738e13 | + | 1.23914e13i | 1.51345 | + | 0.973018i | ||||
\(818\) | 2.74951e13 | 2.14717 | ||||||||
\(819\) | −4.67540e12 | + | 5.86276e12i | −0.363112 | + | 0.455328i | ||||
\(820\) | 3.31381e12 | + | 4.15538e12i | 0.255956 | + | 0.320959i | ||||
\(821\) | −2.66071e12 | − | 1.16573e13i | −0.204387 | − | 0.895477i | −0.968227 | − | 0.250072i | \(-0.919546\pi\) |
0.763841 | − | 0.645405i | \(-0.223311\pi\) | |||||||
\(822\) | −1.11227e13 | − | 5.35643e12i | −0.849745 | − | 0.409216i | ||||
\(823\) | −8.16197e12 | −0.620149 | −0.310074 | − | 0.950712i | \(-0.600354\pi\) | ||||
−0.310074 | + | 0.950712i | \(0.600354\pi\) | |||||||
\(824\) | −5.18657e12 | −0.391929 | ||||||||
\(825\) | 5.39892e12 | + | 2.59998e12i | 0.405755 | + | 0.195401i | ||||
\(826\) | 4.22997e12 | − | 1.85327e13i | 0.316175 | − | 1.38525i | ||||
\(827\) | −5.52016e12 | + | 2.65837e12i | −0.410371 | + | 0.197624i | −0.627668 | − | 0.778481i | \(-0.715990\pi\) |
0.217297 | + | 0.976106i | \(0.430276\pi\) | |||||||
\(828\) | −2.58191e12 | + | 1.13121e13i | −0.190899 | + | 0.836384i | ||||
\(829\) | 7.59288e12 | − | 9.52117e12i | 0.558356 | − | 0.700156i | −0.419897 | − | 0.907572i | \(-0.637934\pi\) |
0.978253 | + | 0.207416i | \(0.0665052\pi\) | |||||||
\(830\) | −8.65267e12 | − | 4.16691e12i | −0.632847 | − | 0.304763i | ||||
\(831\) | −4.71865e12 | + | 5.91700e12i | −0.343252 | + | 0.430424i | ||||
\(832\) | 2.35836e12 | + | 1.03327e13i | 0.170630 | + | 0.747579i | ||||
\(833\) | 2.88239e12 | − | 1.38808e12i | 0.207420 | − | 0.0998880i | ||||
\(834\) | 7.61021e12 | − | 3.66488e12i | 0.544690 | − | 0.262309i | ||||
\(835\) | −3.05863e12 | − | 3.83540e12i | −0.217740 | − | 0.273037i | ||||
\(836\) | 1.40709e13 | + | 6.16488e13i | 0.996311 | + | 4.36512i | ||||
\(837\) | 8.36425e11 | − | 3.66462e12i | 0.0589064 | − | 0.258086i | ||||
\(838\) | −6.30890e12 | − | 7.91111e12i | −0.441932 | − | 0.554166i | ||||
\(839\) | 4.40694e12 | + | 5.52613e12i | 0.307049 | + | 0.385028i | 0.911284 | − | 0.411779i | \(-0.135092\pi\) |
−0.604234 | + | 0.796807i | \(0.706521\pi\) | |||||||
\(840\) | −6.89539e11 | + | 3.02107e12i | −0.0477861 | + | 0.209365i | ||||
\(841\) | 3.52278e11 | + | 1.54343e12i | 0.0242831 | + | 0.106391i | ||||
\(842\) | 2.98740e12 | + | 3.74608e12i | 0.204828 | + | 0.256846i | ||||
\(843\) | 1.15336e11 | − | 5.55430e10i | 0.00786578 | − | 0.00378796i | ||||
\(844\) | 9.97185e11 | − | 4.80219e11i | 0.0676449 | − | 0.0325761i | ||||
\(845\) | −4.89318e11 | − | 2.14384e12i | −0.0330169 | − | 0.144657i | ||||
\(846\) | −2.49844e12 | + | 3.13294e12i | −0.167688 | + | 0.210274i | ||||
\(847\) | −7.14312e12 | − | 3.43995e12i | −0.476884 | − | 0.229655i | ||||
\(848\) | 1.60271e13 | − | 2.00974e13i | 1.06432 | − | 1.33462i | ||||
\(849\) | −9.22739e11 | + | 4.04278e12i | −0.0609529 | + | 0.267052i | ||||
\(850\) | −3.97681e13 | + | 1.91513e13i | −2.61306 | + | 1.25839i | ||||
\(851\) | −4.38430e11 | + | 1.92089e12i | −0.0286561 | + | 0.125551i | ||||
\(852\) | −1.08886e13 | − | 5.24368e12i | −0.707937 | − | 0.340924i | ||||
\(853\) | −2.84033e13 | −1.83695 | −0.918477 | − | 0.395475i | \(-0.870580\pi\) | ||||
−0.918477 | + | 0.395475i | \(0.870580\pi\) | |||||||
\(854\) | −7.29112e12 | −0.469066 | ||||||||
\(855\) | 7.02125e12 | + | 3.38125e12i | 0.449331 | + | 0.216387i | ||||
\(856\) | 1.06086e13 | + | 4.64791e13i | 0.675343 | + | 2.95887i | ||||
\(857\) | −8.40125e12 | − | 1.05348e13i | −0.532023 | − | 0.667135i | 0.441091 | − | 0.897463i | \(-0.354592\pi\) |
−0.973113 | + | 0.230327i | \(0.926020\pi\) | |||||||
\(858\) | −6.43340e12 | + | 8.06722e12i | −0.405273 | + | 0.508196i | ||||
\(859\) | −1.00828e13 | −0.631844 | −0.315922 | − | 0.948785i | \(-0.602314\pi\) | ||||
−0.315922 | + | 0.948785i | \(0.602314\pi\) | |||||||
\(860\) | −5.53266e12 | − | 9.01144e12i | −0.344898 | − | 0.561761i | ||||
\(861\) | −3.80514e12 | −0.235970 | ||||||||
\(862\) | 1.95843e13 | − | 2.45579e13i | 1.20816 | − | 1.51499i | ||||
\(863\) | −2.35457e12 | − | 2.95254e12i | −0.144498 | − | 0.181195i | 0.704315 | − | 0.709887i | \(-0.251254\pi\) |
−0.848814 | + | 0.528692i | \(0.822683\pi\) | |||||||
\(864\) | 1.00292e11 | + | 4.39409e11i | 0.00612287 | + | 0.0268260i | ||||
\(865\) | −9.71503e12 | − | 4.67851e12i | −0.590027 | − | 0.284142i | ||||
\(866\) | 1.82351e13 | 1.10174 | ||||||||
\(867\) | 1.71645e13 | 1.03168 | ||||||||
\(868\) | −1.00098e13 | − | 4.82048e12i | −0.598532 | − | 0.288238i | ||||
\(869\) | 6.97594e12 | − | 3.05636e13i | 0.414967 | − | 1.81809i | ||||
\(870\) | 3.32954e12 | − | 1.60342e12i | 0.197037 | − | 0.0948879i | ||||
\(871\) | 1.75577e12 | − | 7.69255e12i | 0.103368 | − | 0.452886i | ||||
\(872\) | 7.17702e12 | − | 8.99970e12i | 0.420359 | − | 0.527113i | ||||
\(873\) | −3.95348e12 | − | 1.90390e12i | −0.230365 | − | 0.110938i | ||||
\(874\) | −1.72509e13 | + | 2.16319e13i | −1.00002 | + | 1.25399i | ||||
\(875\) | −2.26435e12 | − | 9.92075e12i | −0.130589 | − | 0.572148i | ||||
\(876\) | −5.14181e12 | + | 2.47616e12i | −0.295017 | + | 0.142073i | ||||
\(877\) | −1.14012e13 | + | 5.49051e12i | −0.650805 | + | 0.313411i | −0.729999 | − | 0.683448i | \(-0.760480\pi\) |
0.0791944 | + | 0.996859i | \(0.474765\pi\) | |||||||
\(878\) | 2.32958e13 | + | 2.92120e13i | 1.32297 | + | 1.65896i | ||||
\(879\) | 2.87480e12 | + | 1.25953e13i | 0.162427 | + | 0.711637i | ||||
\(880\) | 1.58818e12 | − | 6.95829e12i | 0.0892748 | − | 0.391139i | ||||
\(881\) | 6.25976e12 | + | 7.84949e12i | 0.350079 | + | 0.438985i | 0.925428 | − | 0.378923i | \(-0.123705\pi\) |
−0.575349 | + | 0.817908i | \(0.695134\pi\) | |||||||
\(882\) | −1.97979e12 | − | 2.48257e12i | −0.110156 | − | 0.138132i | ||||
\(883\) | 2.74881e12 | − | 1.20433e13i | 0.152168 | − | 0.666690i | −0.840085 | − | 0.542455i | \(-0.817495\pi\) |
0.992253 | − | 0.124235i | \(-0.0396478\pi\) | |||||||
\(884\) | −1.12547e13 | − | 4.93103e13i | −0.619870 | − | 2.71583i | ||||
\(885\) | −1.33750e12 | − | 1.67718e12i | −0.0732910 | − | 0.0919040i | ||||
\(886\) | −2.23754e10 | + | 1.07754e10i | −0.00121988 | + | 0.000587465i | ||||
\(887\) | 2.04285e12 | − | 9.83786e11i | 0.110810 | − | 0.0533635i | −0.377657 | − | 0.925945i | \(-0.623270\pi\) |
0.488468 | + | 0.872582i | \(0.337556\pi\) | |||||||
\(888\) | −7.12308e11 | − | 3.12082e12i | −0.0384423 | − | 0.168427i | ||||
\(889\) | −3.75311e12 | + | 4.70625e12i | −0.201527 | + | 0.252707i | ||||
\(890\) | 1.19110e13 | + | 5.73604e12i | 0.636346 | + | 0.306448i | ||||
\(891\) | 7.86634e12 | − | 9.86407e12i | 0.418141 | − | 0.524332i | ||||
\(892\) | 7.83225e12 | − | 3.43153e13i | 0.414233 | − | 1.81487i | ||||
\(893\) | −5.72910e12 | + | 2.75899e12i | −0.301477 | + | 0.145184i | ||||
\(894\) | 5.98897e11 | − | 2.62394e12i | 0.0313569 | − | 0.137384i | ||||
\(895\) | 3.81923e12 | + | 1.83924e12i | 0.198963 | + | 0.0958154i | ||||
\(896\) | 3.15773e13 | 1.63678 | ||||||||
\(897\) | −3.00445e12 | −0.154953 | ||||||||
\(898\) | −4.63386e13 | − | 2.23155e13i | −2.37793 | − | 1.14515i | ||||
\(899\) | 1.46617e12 | + | 6.42372e12i | 0.0748629 | + | 0.327996i | ||||
\(900\) | 1.81772e13 | + | 2.27935e13i | 0.923497 | + | 1.15803i | ||||
\(901\) | 4.09949e13 | − | 5.14059e13i | 2.07237 | − | 2.59867i | ||||
\(902\) | 2.67783e13 | 1.34696 | ||||||||
\(903\) | 7.51371e12 | + | 9.25657e11i | 0.376062 | + | 0.0463292i | ||||
\(904\) | 2.23772e13 | 1.11442 | ||||||||
\(905\) | 6.31649e11 | − | 7.92063e11i | 0.0313009 | − | 0.0392501i | ||||
\(906\) | −4.62185e12 | − | 5.79561e12i | −0.227897 | − | 0.285774i | ||||
\(907\) | 8.37412e12 | + | 3.66894e13i | 0.410872 | + | 1.80015i | 0.580071 | + | 0.814566i | \(0.303025\pi\) |
−0.169199 | + | 0.985582i | \(0.554118\pi\) | |||||||
\(908\) | −1.18219e13 | − | 5.69314e12i | −0.577168 | − | 0.277949i | ||||
\(909\) | 3.70133e12 | 0.179813 | ||||||||
\(910\) | 8.25206e12 | 0.398911 | ||||||||
\(911\) | 8.78077e11 | + | 4.22860e11i | 0.0422377 | + | 0.0203406i | 0.454883 | − | 0.890551i | \(-0.349681\pi\) |
−0.412646 | + | 0.910892i | \(0.635395\pi\) | |||||||
\(912\) | 3.27378e12 | − | 1.43434e13i | 0.156701 | − | 0.686553i | ||||
\(913\) | −2.90109e13 | + | 1.39709e13i | −1.38179 | + | 0.665435i | ||||
\(914\) | −5.89428e12 | + | 2.58245e13i | −0.279365 | + | 1.22398i | ||||
\(915\) | −5.13007e11 | + | 6.43290e11i | −0.0241951 | + | 0.0303398i | ||||
\(916\) | −4.06075e13 | − | 1.95555e13i | −1.90580 | − | 0.917783i | ||||
\(917\) | 2.02298e13 | − | 2.53673e13i | 0.944777 | − | 1.18471i | ||||
\(918\) | −1.15858e13 | − | 5.07607e13i | −0.538435 | − | 2.35904i | ||||
\(919\) | −1.09154e13 | + | 5.25657e12i | −0.504800 | + | 0.243099i | −0.668910 | − | 0.743343i | \(-0.733239\pi\) |
0.164110 | + | 0.986442i | \(0.447525\pi\) | |||||||
\(920\) | 5.72090e12 | − | 2.75504e12i | 0.263281 | − | 0.126789i | ||||
\(921\) | −2.16899e12 | − | 2.71982e12i | −0.0993318 | − | 0.124558i | ||||
\(922\) | −9.80198e12 | − | 4.29453e13i | −0.446709 | − | 1.95716i | ||||
\(923\) | −3.56139e12 | + | 1.56035e13i | −0.161515 | + | 0.707642i | ||||
\(924\) | 1.30261e13 | + | 1.63343e13i | 0.587885 | + | 0.737184i | ||||
\(925\) | 3.08665e12 | + | 3.87053e12i | 0.138627 | + | 0.173833i | ||||
\(926\) | −1.27658e13 | + | 5.59307e13i | −0.570557 | + | 2.49977i | ||||
\(927\) | 9.58964e11 | + | 4.20149e12i | 0.0426524 | + | 0.186872i | ||||
\(928\) | −4.92587e11 | − | 6.17685e11i | −0.0218031 | − | 0.0273402i | ||||
\(929\) | 2.88715e12 | − | 1.39038e12i | 0.127174 | − | 0.0612438i | −0.369215 | − | 0.929344i | \(-0.620373\pi\) |
0.496389 | + | 0.868100i | \(0.334659\pi\) | |||||||
\(930\) | −1.69746e12 | + | 8.17455e11i | −0.0744093 | + | 0.0358336i | ||||
\(931\) | −1.12124e12 | − | 4.91245e12i | −0.0489129 | − | 0.214301i | ||||
\(932\) | −5.95583e11 | + | 7.46838e11i | −0.0258566 | + | 0.0324231i | ||||
\(933\) | −8.83100e12 | − | 4.25278e12i | −0.381542 | − | 0.183741i | ||||
\(934\) | 3.11207e13 | − | 3.90241e13i | 1.33810 | − | 1.67792i | ||||
\(935\) | 4.06233e12 | − | 1.77982e13i | 0.173829 | − | 0.761596i | ||||
\(936\) | −2.24922e13 | + | 1.08317e13i | −0.957837 | + | 0.461270i | ||||
\(937\) | −8.36873e12 | + | 3.66658e13i | −0.354676 | + | 1.55394i | 0.411564 | + | 0.911381i | \(0.364983\pi\) |
−0.766239 | + | 0.642555i | \(0.777874\pi\) | |||||||
\(938\) | −2.16301e13 | − | 1.04165e13i | −0.912315 | − | 0.439348i | ||||
\(939\) | 1.41966e13 | 0.595922 | ||||||||
\(940\) | 2.93453e12 | 0.122592 | ||||||||
\(941\) | −3.37638e13 | − | 1.62598e13i | −1.40378 | − | 0.676024i | −0.429854 | − | 0.902898i | \(-0.641435\pi\) |
−0.973924 | + | 0.226874i | \(0.927149\pi\) | |||||||
\(942\) | −2.82423e12 | − | 1.23737e13i | −0.116861 | − | 0.512003i | ||||
\(943\) | 4.86146e12 | + | 6.09608e12i | 0.200200 | + | 0.251043i | ||||
\(944\) | 1.29140e13 | − | 1.61936e13i | 0.529280 | − | 0.663696i | ||||
\(945\) | 5.65298e12 | 0.230587 | ||||||||
\(946\) | −5.28770e13 | − | 6.51422e12i | −2.14663 | − | 0.264455i | ||||
\(947\) | 2.24310e13 | 0.906305 | 0.453152 | − | 0.891433i | \(-0.350299\pi\) | ||||
0.453152 | + | 0.891433i | \(0.350299\pi\) | |||||||
\(948\) | −1.85939e13 | + | 2.33160e13i | −0.747710 | + | 0.937599i | ||||
\(949\) | 4.71218e12 | + | 5.90888e12i | 0.188592 | + | 0.236487i | ||||
\(950\) | 1.54696e13 | + | 6.77769e13i | 0.616203 | + | 2.69976i | ||||
\(951\) | −3.82143e12 | − | 1.84030e12i | −0.151500 | − | 0.0729587i | ||||
\(952\) | −7.65291e13 | −3.01968 | ||||||||
\(953\) | −1.60601e12 | −0.0630710 | −0.0315355 | − | 0.999503i | \(-0.510040\pi\) | ||||
−0.0315355 | + | 0.999503i | \(0.510040\pi\) | |||||||
\(954\) | −5.87972e13 | − | 2.83152e13i | −2.29821 | − | 1.10676i | ||||
\(955\) | −3.31179e12 | + | 1.45099e13i | −0.128839 | + | 0.564481i | ||||
\(956\) | 3.32148e13 | − | 1.59954e13i | 1.28609 | − | 0.619348i | ||||
\(957\) | 2.75712e12 | − | 1.20797e13i | 0.106256 | − | 0.465536i | ||||
\(958\) | −4.01258e13 | + | 5.03162e13i | −1.53914 | + | 1.93003i | ||||
\(959\) | 2.98245e13 | + | 1.43627e13i | 1.13865 | + | 0.548345i | ||||
\(960\) | 2.26892e12 | − | 2.84513e12i | 0.0862180 | − | 0.108114i | ||||
\(961\) | 5.13589e12 | + | 2.25018e13i | 0.194250 | + | 0.851063i | ||||
\(962\) | −7.68035e12 | + | 3.69866e12i | −0.289130 | + | 0.139238i | ||||
\(963\) | 3.56900e13 | − | 1.71874e13i | 1.33730 | − | 0.644009i | ||||
\(964\) | 1.63736e13 | + | 2.05319e13i | 0.610659 | + | 0.765742i | ||||
\(965\) | 2.07346e12 | + | 9.08441e12i | 0.0769701 | + | 0.337228i | ||||
\(966\) | −2.03417e12 | + | 8.91226e12i | −0.0751604 | + | 0.329299i | ||||
\(967\) | 2.93014e13 | + | 3.67428e13i | 1.07763 | + | 1.35130i | 0.932203 | + | 0.361935i | \(0.117884\pi\) |
0.145426 | + | 0.989369i | \(0.453545\pi\) | |||||||
\(968\) | −1.64567e13 | − | 2.06360e13i | −0.602425 | − | 0.755416i | ||||
\(969\) | 8.37382e12 | − | 3.66881e13i | 0.305117 | − | 1.33681i | ||||
\(970\) | 1.07452e12 | + | 4.70777e12i | 0.0389710 | + | 0.170743i | ||||
\(971\) | −2.00631e13 | − | 2.51583e13i | −0.724288 | − | 0.908228i | 0.274284 | − | 0.961649i | \(-0.411559\pi\) |
−0.998572 | + | 0.0534203i | \(0.982988\pi\) | |||||||
\(972\) | −4.78556e13 | + | 2.30460e13i | −1.71963 | + | 0.828129i | ||||
\(973\) | −2.04060e13 | + | 9.82702e12i | −0.729878 | + | 0.351491i | ||||
\(974\) | 7.43449e12 | + | 3.25726e13i | 0.264689 | + | 1.15968i | ||||
\(975\) | −4.70676e12 | + | 5.90210e12i | −0.166802 | + | 0.209163i | ||||
\(976\) | −7.15761e12 | − | 3.44692e12i | −0.252490 | − | 0.121593i | ||||
\(977\) | −2.01507e13 | + | 2.52682e13i | −0.707562 | + | 0.887255i | −0.997563 | − | 0.0697713i | \(-0.977773\pi\) |
0.290001 | + | 0.957026i | \(0.406344\pi\) | |||||||
\(978\) | 5.60341e12 | − | 2.45501e13i | 0.195852 | − | 0.858083i | ||||
\(979\) | 3.99355e13 | − | 1.92319e13i | 1.38943 | − | 0.669114i | ||||
\(980\) | −5.17438e11 | + | 2.26705e12i | −0.0179201 | + | 0.0785132i | ||||
\(981\) | −8.61738e12 | − | 4.14991e12i | −0.297074 | − | 0.143063i | ||||
\(982\) | 2.86733e13 | 0.983957 | ||||||||
\(983\) | 3.26218e12 | 0.111434 | 0.0557170 | − | 0.998447i | \(-0.482256\pi\) | ||||
0.0557170 | + | 0.998447i | \(0.482256\pi\) | |||||||
\(984\) | −1.14134e13 | − | 5.49639e12i | −0.388093 | − | 0.186896i | ||||
\(985\) | −1.67410e12 | − | 7.33470e12i | −0.0566654 | − | 0.248267i | ||||
\(986\) | 5.69039e13 | + | 7.13552e13i | 1.91733 | + | 2.40425i | ||||
\(987\) | −1.30991e12 | + | 1.64257e12i | −0.0439352 | + | 0.0550930i | ||||
\(988\) | −7.96615e13 | −2.65976 | ||||||||
\(989\) | −8.11658e12 | − | 1.32201e13i | −0.269768 | − | 0.439390i | ||||
\(990\) | −1.81197e13 | −0.599505 | ||||||||
\(991\) | 4.12923e12 | − | 5.17789e12i | 0.136000 | − | 0.170538i | −0.709168 | − | 0.705040i | \(-0.750929\pi\) |
0.845167 | + | 0.534502i | \(0.179501\pi\) | |||||||
\(992\) | 2.51131e11 | + | 3.14908e11i | 0.00823374 | + | 0.0103248i | ||||
\(993\) | 3.82443e12 | + | 1.67559e13i | 0.124823 | + | 0.546886i | ||||
\(994\) | 4.38742e13 | + | 2.11287e13i | 1.42551 | + | 0.686489i | ||||
\(995\) | −9.96982e12 | −0.322466 | ||||||||
\(996\) | 3.06310e13 | 0.986265 | ||||||||
\(997\) | 4.52843e13 | + | 2.18078e13i | 1.45151 | + | 0.699010i | 0.982856 | − | 0.184373i | \(-0.0590254\pi\) |
0.468652 | + | 0.883383i | \(0.344740\pi\) | |||||||
\(998\) | 7.74668e11 | − | 3.39404e12i | 0.0247188 | − | 0.108300i | ||||
\(999\) | −5.26134e12 | + | 2.53373e12i | −0.167129 | + | 0.0804851i |
(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.4.4 | ✓ | 192 | |
43.11 | even | 7 | inner | 43.10.e.a.11.4 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.e.a.4.4 | ✓ | 192 | 1.1 | even | 1 | trivial | |
43.10.e.a.11.4 | yes | 192 | 43.11 | even | 7 | inner |