Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,15,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 15, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 15);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 15 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.8926349043\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(27\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.18 | ||
Character | \(\chi\) | \(=\) | 16.3 |
Dual form | 16.15.f.a.11.18 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 57.2769 | − | 114.470i | 0.447476 | − | 0.894296i | ||||
\(3\) | −1878.56 | + | 1878.56i | −0.858966 | + | 0.858966i | −0.991216 | − | 0.132251i | \(-0.957780\pi\) |
0.132251 | + | 0.991216i | \(0.457780\pi\) | |||||||
\(4\) | −9822.72 | − | 13113.0i | −0.599531 | − | 0.800351i | ||||
\(5\) | 35992.2 | − | 35992.2i | 0.460700 | − | 0.460700i | −0.438185 | − | 0.898885i | \(-0.644379\pi\) |
0.898885 | + | 0.438185i | \(0.144379\pi\) | |||||||
\(6\) | 107440. | + | 322636.i | 0.383804 | + | 1.15254i | ||||
\(7\) | −784164. | −0.952184 | −0.476092 | − | 0.879396i | \(-0.657947\pi\) | ||||
−0.476092 | + | 0.879396i | \(0.657947\pi\) | |||||||
\(8\) | −2.06365e6 | + | 373337.i | −0.984027 | + | 0.178021i | ||||
\(9\) | − | 2.27499e6i | − | 0.475643i | ||||||
\(10\) | −2.05850e6 | − | 6.18154e6i | −0.205850 | − | 0.618154i | ||||
\(11\) | −16474.9 | − | 16474.9i | −0.000845421 | − | 0.000845421i | 0.706684 | − | 0.707529i | \(-0.250190\pi\) |
−0.707529 | + | 0.706684i | \(0.750190\pi\) | |||||||
\(12\) | 4.30860e7 | + | 6.18090e6i | 1.20245 | + | 0.172498i | ||||
\(13\) | 5.02537e7 | + | 5.02537e7i | 0.800874 | + | 0.800874i | 0.983232 | − | 0.182358i | \(-0.0583731\pi\) |
−0.182358 | + | 0.983232i | \(0.558373\pi\) | |||||||
\(14\) | −4.49145e7 | + | 8.97632e7i | −0.426079 | + | 0.851534i | ||||
\(15\) | 1.35227e8i | 0.791450i | ||||||||
\(16\) | −7.54638e7 | + | 2.57610e8i | −0.281125 | + | 0.959671i | ||||
\(17\) | 7.06686e8 | 1.72220 | 0.861100 | − | 0.508435i | \(-0.169776\pi\) | ||||
0.861100 | + | 0.508435i | \(0.169776\pi\) | |||||||
\(18\) | −2.60418e8 | − | 1.30304e8i | −0.425366 | − | 0.212839i | ||||
\(19\) | 5.10756e8 | − | 5.10756e8i | 0.571397 | − | 0.571397i | −0.361122 | − | 0.932519i | \(-0.617606\pi\) |
0.932519 | + | 0.361122i | \(0.117606\pi\) | |||||||
\(20\) | −8.25505e8 | − | 1.18423e8i | −0.644926 | − | 0.0925178i | ||||
\(21\) | 1.47310e9 | − | 1.47310e9i | 0.817893 | − | 0.817893i | ||||
\(22\) | −2.82950e6 | + | 942247.i | −0.00113436 | + | 0.000377751i | ||||
\(23\) | −2.93388e8 | −0.0861683 | −0.0430841 | − | 0.999071i | \(-0.513718\pi\) | ||||
−0.0430841 | + | 0.999071i | \(0.513718\pi\) | |||||||
\(24\) | 3.17536e9 | − | 4.57803e9i | 0.692331 | − | 0.998159i | ||||
\(25\) | 3.51264e9i | 0.575511i | ||||||||
\(26\) | 8.63090e9 | − | 2.87416e9i | 1.07459 | − | 0.357847i | ||||
\(27\) | −4.71139e9 | − | 4.71139e9i | −0.450404 | − | 0.450404i | ||||
\(28\) | 7.70263e9 | + | 1.02827e10i | 0.570864 | + | 0.762082i | ||||
\(29\) | 1.73768e10 | + | 1.73768e10i | 1.00736 | + | 1.00736i | 0.999973 | + | 0.00738348i | \(0.00235026\pi\) |
0.00738348 | + | 0.999973i | \(0.497650\pi\) | |||||||
\(30\) | 1.54794e10 | + | 7.74536e9i | 0.707791 | + | 0.354155i | ||||
\(31\) | 1.23663e10i | 0.449478i | 0.974419 | + | 0.224739i | \(0.0721530\pi\) | ||||
−0.974419 | + | 0.224739i | \(0.927847\pi\) | |||||||
\(32\) | 2.51662e10 | + | 2.33934e10i | 0.732434 | + | 0.680838i | ||||
\(33\) | 6.18979e7 | 0.00145237 | ||||||||
\(34\) | 4.04767e10 | − | 8.08942e10i | 0.770643 | − | 1.54016i | ||||
\(35\) | −2.82238e10 | + | 2.82238e10i | −0.438671 | + | 0.438671i | ||||
\(36\) | −2.98318e10 | + | 2.23466e10i | −0.380682 | + | 0.285163i | ||||
\(37\) | 5.34347e10 | − | 5.34347e10i | 0.562874 | − | 0.562874i | −0.367249 | − | 0.930123i | \(-0.619700\pi\) |
0.930123 | + | 0.367249i | \(0.119700\pi\) | |||||||
\(38\) | −2.92117e10 | − | 8.77207e10i | −0.255312 | − | 0.766685i | ||||
\(39\) | −1.88809e11 | −1.37585 | ||||||||
\(40\) | −6.08382e10 | + | 8.77126e10i | −0.371327 | + | 0.535355i | ||||
\(41\) | 2.43823e11i | 1.25195i | 0.779842 | + | 0.625976i | \(0.215299\pi\) | ||||
−0.779842 | + | 0.625976i | \(0.784701\pi\) | |||||||
\(42\) | −8.42509e10 | − | 2.53000e11i | −0.365451 | − | 1.09743i | ||||
\(43\) | 3.08172e10 | + | 3.08172e10i | 0.113374 | + | 0.113374i | 0.761518 | − | 0.648144i | \(-0.224454\pi\) |
−0.648144 | + | 0.761518i | \(0.724454\pi\) | |||||||
\(44\) | −5.42062e7 | + | 3.77862e8i | −0.000169777 | + | 0.00118349i | ||||
\(45\) | −8.18818e10 | − | 8.18818e10i | −0.219129 | − | 0.219129i | ||||
\(46\) | −1.68043e10 | + | 3.35841e10i | −0.0385582 | + | 0.0770600i | ||||
\(47\) | − | 2.82485e11i | − | 0.557584i | −0.960351 | − | 0.278792i | \(-0.910066\pi\) | ||
0.960351 | − | 0.278792i | \(-0.0899341\pi\) | |||||||
\(48\) | −3.42172e11 | − | 6.25698e11i | −0.582848 | − | 1.06580i | ||||
\(49\) | −6.33094e10 | −0.0933460 | ||||||||
\(50\) | 4.02092e11 | + | 2.01193e11i | 0.514678 | + | 0.257527i | ||||
\(51\) | −1.32755e12 | + | 1.32755e12i | −1.47931 | + | 1.47931i | ||||
\(52\) | 1.65346e11 | − | 1.15260e12i | 0.160832 | − | 1.12113i | ||||
\(53\) | −1.05702e12 | + | 1.05702e12i | −0.899816 | + | 0.899816i | −0.995420 | − | 0.0956031i | \(-0.969522\pi\) |
0.0956031 | + | 0.995420i | \(0.469522\pi\) | |||||||
\(54\) | −8.09165e11 | + | 2.69459e11i | −0.604340 | + | 0.201250i | ||||
\(55\) | −1.18593e9 | −0.000778970 | ||||||||
\(56\) | 1.61824e12 | − | 2.92757e11i | 0.936974 | − | 0.169509i | ||||
\(57\) | 1.91897e12i | 0.981621i | ||||||||
\(58\) | 2.98440e12 | − | 9.93830e11i | 1.35164 | − | 0.450108i | ||||
\(59\) | 1.61480e12 | + | 1.61480e12i | 0.648867 | + | 0.648867i | 0.952719 | − | 0.303852i | \(-0.0982728\pi\) |
−0.303852 | + | 0.952719i | \(0.598273\pi\) | |||||||
\(60\) | 1.77322e12 | − | 1.32829e12i | 0.633438 | − | 0.474499i | ||||
\(61\) | −3.15073e12 | − | 3.15073e12i | −1.00254 | − | 1.00254i | −0.999997 | − | 0.00254608i | \(-0.999190\pi\) |
−0.00254608 | − | 0.999997i | \(-0.500810\pi\) | |||||||
\(62\) | 1.41557e12 | + | 7.08304e11i | 0.401967 | + | 0.201131i | ||||
\(63\) | 1.78396e12i | 0.452900i | ||||||||
\(64\) | 4.11929e12 | − | 1.54088e12i | 0.936617 | − | 0.350355i | ||||
\(65\) | 3.61748e12 | 0.737925 | ||||||||
\(66\) | 3.54532e9 | − | 7.08545e9i | 0.000649902 | − | 0.00129885i | ||||
\(67\) | −3.22657e12 | + | 3.22657e12i | −0.532374 | + | 0.532374i | −0.921278 | − | 0.388904i | \(-0.872854\pi\) |
0.388904 | + | 0.921278i | \(0.372854\pi\) | |||||||
\(68\) | −6.94158e12 | − | 9.26674e12i | −1.03251 | − | 1.37837i | ||||
\(69\) | 5.51146e11 | − | 5.51146e11i | 0.0740156 | − | 0.0740156i | ||||
\(70\) | 1.61420e12 | + | 4.84734e12i | 0.196007 | + | 0.588596i | ||||
\(71\) | 1.39599e13 | 1.53488 | 0.767441 | − | 0.641120i | \(-0.221530\pi\) | ||||
0.767441 | + | 0.641120i | \(0.221530\pi\) | |||||||
\(72\) | 8.49337e11 | + | 4.69479e12i | 0.0846745 | + | 0.468046i | ||||
\(73\) | 1.30447e12i | 0.118079i | 0.998256 | + | 0.0590395i | \(0.0188038\pi\) | ||||
−0.998256 | + | 0.0590395i | \(0.981196\pi\) | |||||||
\(74\) | −3.05609e12 | − | 9.17723e12i | −0.251504 | − | 0.755248i | ||||
\(75\) | −6.59870e12 | − | 6.59870e12i | −0.494344 | − | 0.494344i | ||||
\(76\) | −1.17145e13 | − | 1.68051e12i | −0.799889 | − | 0.114748i | ||||
\(77\) | 1.29190e10 | + | 1.29190e10i | 0.000804996 | + | 0.000804996i | ||||
\(78\) | −1.08144e13 | + | 2.16129e13i | −0.615658 | + | 1.23041i | ||||
\(79\) | − | 1.10675e13i | − | 0.576316i | −0.957583 | − | 0.288158i | \(-0.906957\pi\) | ||
0.957583 | − | 0.288158i | \(-0.0930428\pi\) | |||||||
\(80\) | 6.55583e12 | + | 1.19880e13i | 0.312606 | + | 0.571634i | ||||
\(81\) | 2.85824e13 | 1.24941 | ||||||||
\(82\) | 2.79104e13 | + | 1.39654e13i | 1.11962 | + | 0.560218i | ||||
\(83\) | −3.46972e13 | + | 3.46972e13i | −1.27864 | + | 1.27864i | −0.337208 | + | 0.941430i | \(0.609482\pi\) |
−0.941430 | + | 0.337208i | \(0.890518\pi\) | |||||||
\(84\) | −3.37865e13 | − | 4.84684e12i | −1.14495 | − | 0.164249i | ||||
\(85\) | 2.54351e13 | − | 2.54351e13i | 0.793418 | − | 0.793418i | ||||
\(86\) | 5.29276e12 | − | 1.76253e12i | 0.152122 | − | 0.0506579i | ||||
\(87\) | −6.52865e13 | −1.73057 | ||||||||
\(88\) | 4.01491e10 | + | 2.78477e10i | 0.000982419 | + | 0.000681414i | ||||
\(89\) | − | 2.40266e13i | − | 0.543203i | −0.962410 | − | 0.271601i | \(-0.912447\pi\) | ||
0.962410 | − | 0.271601i | \(-0.0875532\pi\) | |||||||
\(90\) | −1.40629e13 | + | 4.68307e12i | −0.294021 | + | 0.0979113i | ||||
\(91\) | −3.94071e13 | − | 3.94071e13i | −0.762579 | − | 0.762579i | ||||
\(92\) | 2.88187e12 | + | 3.84718e12i | 0.0516606 | + | 0.0689649i | ||||
\(93\) | −2.32309e13 | − | 2.32309e13i | −0.386086 | − | 0.386086i | ||||
\(94\) | −3.23361e13 | − | 1.61799e13i | −0.498646 | − | 0.249505i | ||||
\(95\) | − | 3.67664e13i | − | 0.526485i | ||||||
\(96\) | −9.12221e13 | + | 3.33035e12i | −1.21395 | + | 0.0443192i | ||||
\(97\) | 1.49315e14 | 1.84800 | 0.924001 | − | 0.382390i | \(-0.124899\pi\) | ||||
0.924001 | + | 0.382390i | \(0.124899\pi\) | |||||||
\(98\) | −3.62616e12 | + | 7.24702e12i | −0.0417700 | + | 0.0834790i | ||||
\(99\) | −3.74801e10 | + | 3.74801e10i | −0.000402119 | + | 0.000402119i | ||||
\(100\) | 4.60611e13 | − | 3.45037e13i | 0.460611 | − | 0.345037i | ||||
\(101\) | 8.95534e13 | − | 8.95534e13i | 0.835281 | − | 0.835281i | −0.152953 | − | 0.988234i | \(-0.548878\pi\) |
0.988234 | + | 0.152953i | \(0.0488782\pi\) | |||||||
\(102\) | 7.59266e13 | + | 2.28002e14i | 0.660987 | + | 1.98490i | ||||
\(103\) | 8.59595e13 | 0.698929 | 0.349465 | − | 0.936950i | \(-0.386364\pi\) | ||||
0.349465 | + | 0.936950i | \(0.386364\pi\) | |||||||
\(104\) | −1.22468e14 | − | 8.49446e13i | −0.930654 | − | 0.645509i | ||||
\(105\) | − | 1.06040e14i | − | 0.753606i | ||||||
\(106\) | 6.04544e13 | + | 1.81541e14i | 0.402057 | + | 1.20735i | ||||
\(107\) | 1.72707e14 | + | 1.72707e14i | 1.07553 | + | 1.07553i | 0.996904 | + | 0.0786277i | \(0.0250538\pi\) |
0.0786277 | + | 0.996904i | \(0.474946\pi\) | |||||||
\(108\) | −1.55016e13 | + | 1.08059e14i | −0.0904502 | + | 0.630513i | ||||
\(109\) | 1.33559e14 | + | 1.33559e14i | 0.730611 | + | 0.730611i | 0.970741 | − | 0.240130i | \(-0.0771900\pi\) |
−0.240130 | + | 0.970741i | \(0.577190\pi\) | |||||||
\(110\) | −6.79265e10 | + | 1.35753e11i | −0.000348570 | + | 0.000696630i | ||||
\(111\) | 2.00760e14i | 0.966979i | ||||||||
\(112\) | 5.91760e13 | − | 2.02008e14i | 0.267682 | − | 0.913783i | ||||
\(113\) | −2.83537e14 | −1.20520 | −0.602601 | − | 0.798043i | \(-0.705869\pi\) | ||||
−0.602601 | + | 0.798043i | \(0.705869\pi\) | |||||||
\(114\) | 2.19664e14 | + | 1.09912e14i | 0.877860 | + | 0.439251i | ||||
\(115\) | −1.05597e13 | + | 1.05597e13i | −0.0396977 | + | 0.0396977i | ||||
\(116\) | 5.71737e13 | − | 3.98548e14i | 0.202297 | − | 1.41018i | ||||
\(117\) | 1.14326e14 | − | 1.14326e14i | 0.380930 | − | 0.380930i | ||||
\(118\) | 2.77337e14 | − | 9.23556e13i | 0.870632 | − | 0.289927i | ||||
\(119\) | −5.54158e14 | −1.63985 | ||||||||
\(120\) | −5.04851e13 | − | 2.79061e14i | −0.140895 | − | 0.778808i | ||||
\(121\) | − | 3.79749e14i | − | 0.999999i | ||||||
\(122\) | −5.41128e14 | + | 1.80200e14i | −1.34518 | + | 0.447957i | ||||
\(123\) | −4.58036e14 | − | 4.58036e14i | −1.07538 | − | 1.07538i | ||||
\(124\) | 1.62159e14 | − | 1.21471e14i | 0.359741 | − | 0.269476i | ||||
\(125\) | 3.46106e14 | + | 3.46106e14i | 0.725838 | + | 0.725838i | ||||
\(126\) | 2.04210e14 | + | 1.02180e14i | 0.405027 | + | 0.202662i | ||||
\(127\) | 9.21338e14i | 1.72899i | 0.502640 | + | 0.864496i | \(0.332362\pi\) | ||||
−0.502640 | + | 0.864496i | \(0.667638\pi\) | |||||||
\(128\) | 5.95559e13 | − | 5.59791e14i | 0.105793 | − | 0.994388i | ||||
\(129\) | −1.15784e14 | −0.194769 | ||||||||
\(130\) | 2.07198e14 | − | 4.14092e14i | 0.330203 | − | 0.659923i | ||||
\(131\) | −5.63852e14 | + | 5.63852e14i | −0.851660 | + | 0.851660i | −0.990338 | − | 0.138678i | \(-0.955715\pi\) |
0.138678 | + | 0.990338i | \(0.455715\pi\) | |||||||
\(132\) | −6.08006e11 | − | 8.11665e11i | −0.000870744 | − | 0.00116241i | ||||
\(133\) | −4.00516e14 | + | 4.00516e14i | −0.544075 | + | 0.544075i | ||||
\(134\) | 1.84537e14 | + | 5.54152e14i | 0.237876 | + | 0.714324i | ||||
\(135\) | −3.39146e14 | −0.415002 | ||||||||
\(136\) | −1.45835e15 | + | 2.63832e14i | −1.69469 | + | 0.306588i | ||||
\(137\) | − | 1.42077e14i | − | 0.156848i | −0.996920 | − | 0.0784241i | \(-0.975011\pi\) | ||
0.996920 | − | 0.0784241i | \(-0.0249888\pi\) | |||||||
\(138\) | −3.15217e13 | − | 9.46576e13i | −0.0330717 | − | 0.0993120i | ||||
\(139\) | −3.84494e14 | − | 3.84494e14i | −0.383518 | − | 0.383518i | 0.488850 | − | 0.872368i | \(-0.337417\pi\) |
−0.872368 | + | 0.488850i | \(0.837417\pi\) | |||||||
\(140\) | 6.47331e14 | + | 9.28629e13i | 0.614088 | + | 0.0880939i | ||||
\(141\) | 5.30665e14 | + | 5.30665e14i | 0.478946 | + | 0.478946i | ||||
\(142\) | 7.99581e14 | − | 1.59799e15i | 0.686822 | − | 1.37264i | ||||
\(143\) | − | 1.65584e12i | − | 0.00135415i | ||||||
\(144\) | 5.86059e14 | + | 1.71679e14i | 0.456461 | + | 0.133715i | ||||
\(145\) | 1.25086e15 | 0.928178 | ||||||||
\(146\) | 1.49322e14 | + | 7.47157e13i | 0.105598 | + | 0.0528374i | ||||
\(147\) | 1.18930e14 | − | 1.18930e14i | 0.0801810 | − | 0.0801810i | ||||
\(148\) | −1.22556e15 | − | 1.75813e14i | −0.787957 | − | 0.113036i | ||||
\(149\) | −4.30247e14 | + | 4.30247e14i | −0.263884 | + | 0.263884i | −0.826630 | − | 0.562746i | \(-0.809745\pi\) |
0.562746 | + | 0.826630i | \(0.309745\pi\) | |||||||
\(150\) | −1.13331e15 | + | 3.77400e14i | −0.663297 | + | 0.220883i | ||||
\(151\) | 1.74543e15 | 0.975134 | 0.487567 | − | 0.873085i | \(-0.337884\pi\) | ||||
0.487567 | + | 0.873085i | \(0.337884\pi\) | |||||||
\(152\) | −8.63339e14 | + | 1.24471e15i | −0.460549 | + | 0.663991i | ||||
\(153\) | − | 1.60770e15i | − | 0.819154i | ||||||
\(154\) | 2.21880e12 | − | 7.38877e11i | 0.00108012 | − | 0.000359689i | ||||
\(155\) | 4.45091e14 | + | 4.45091e14i | 0.207075 | + | 0.207075i | ||||
\(156\) | 1.85462e15 | + | 2.47584e15i | 0.824863 | + | 1.10116i | ||||
\(157\) | 2.73887e14 | + | 2.73887e14i | 0.116486 | + | 0.116486i | 0.762947 | − | 0.646461i | \(-0.223752\pi\) |
−0.646461 | + | 0.762947i | \(0.723752\pi\) | |||||||
\(158\) | −1.26690e15 | − | 6.33913e14i | −0.515397 | − | 0.257887i | ||||
\(159\) | − | 3.97136e15i | − | 1.54582i | ||||||
\(160\) | 1.74777e15 | − | 6.38078e13i | 0.651094 | − | 0.0237703i | ||||
\(161\) | 2.30064e14 | 0.0820481 | ||||||||
\(162\) | 1.63711e15 | − | 3.27183e15i | 0.559079 | − | 1.11734i | ||||
\(163\) | −2.25180e15 | + | 2.25180e15i | −0.736575 | + | 0.736575i | −0.971913 | − | 0.235339i | \(-0.924380\pi\) |
0.235339 | + | 0.971913i | \(0.424380\pi\) | |||||||
\(164\) | 3.19724e15 | − | 2.39501e15i | 1.00200 | − | 0.750585i | ||||
\(165\) | 2.22784e12 | − | 2.22784e12i | 0.000669109 | − | 0.000669109i | ||||
\(166\) | 1.98444e15 | + | 5.95913e15i | 0.571322 | + | 1.71564i | ||||
\(167\) | 6.68105e15 | 1.84429 | 0.922146 | − | 0.386843i | \(-0.126434\pi\) | ||||
0.922146 | + | 0.386843i | \(0.126434\pi\) | |||||||
\(168\) | −2.49000e15 | + | 3.58993e15i | −0.659227 | + | 0.950431i | ||||
\(169\) | 1.11348e15i | 0.282798i | ||||||||
\(170\) | −1.45471e15 | − | 4.36841e15i | −0.354515 | − | 1.06459i | ||||
\(171\) | −1.16196e15 | − | 1.16196e15i | −0.271781 | − | 0.271781i | ||||
\(172\) | 1.01396e14 | − | 7.06814e14i | 0.0227678 | − | 0.158711i | ||||
\(173\) | −3.67853e15 | − | 3.67853e15i | −0.793143 | − | 0.793143i | 0.188861 | − | 0.982004i | \(-0.439520\pi\) |
−0.982004 | + | 0.188861i | \(0.939520\pi\) | |||||||
\(174\) | −3.73941e15 | + | 7.47334e15i | −0.774387 | + | 1.54764i | ||||
\(175\) | − | 2.75449e15i | − | 0.547993i | ||||||
\(176\) | 5.48734e12 | − | 3.00083e12i | 0.00104899 | − | 0.000573657i | ||||
\(177\) | −6.06701e15 | −1.11471 | ||||||||
\(178\) | −2.75032e15 | − | 1.37617e15i | −0.485784 | − | 0.243070i | ||||
\(179\) | 4.56736e15 | − | 4.56736e15i | 0.775701 | − | 0.775701i | −0.203396 | − | 0.979097i | \(-0.565198\pi\) |
0.979097 | + | 0.203396i | \(0.0651978\pi\) | |||||||
\(180\) | −2.69410e14 | + | 1.87801e15i | −0.0440055 | + | 0.306755i | ||||
\(181\) | −5.55878e15 | + | 5.55878e15i | −0.873433 | + | 0.873433i | −0.992845 | − | 0.119412i | \(-0.961899\pi\) |
0.119412 | + | 0.992845i | \(0.461899\pi\) | |||||||
\(182\) | −6.76805e15 | + | 2.25381e15i | −1.02321 | + | 0.340736i | ||||
\(183\) | 1.18377e16 | 1.72230 | ||||||||
\(184\) | 6.05451e14 | − | 1.09533e14i | 0.0847919 | − | 0.0153398i | ||||
\(185\) | − | 3.84646e15i | − | 0.518632i | ||||||
\(186\) | −3.98982e15 | + | 1.32864e15i | −0.518040 | + | 0.172511i | ||||
\(187\) | −1.16425e13 | − | 1.16425e13i | −0.00145598 | − | 0.00145598i | ||||
\(188\) | −3.70422e15 | + | 2.77477e15i | −0.446263 | + | 0.334289i | ||||
\(189\) | 3.69450e15 | + | 3.69450e15i | 0.428868 | + | 0.428868i | ||||
\(190\) | −4.20865e15 | − | 2.10587e15i | −0.470834 | − | 0.235589i | ||||
\(191\) | − | 4.26834e15i | − | 0.460283i | −0.973157 | − | 0.230142i | \(-0.926081\pi\) | ||
0.973157 | − | 0.230142i | \(-0.0739190\pi\) | |||||||
\(192\) | −4.84369e15 | + | 1.06329e16i | −0.503579 | + | 1.10546i | ||||
\(193\) | −2.03043e15 | −0.203557 | −0.101779 | − | 0.994807i | \(-0.532453\pi\) | ||||
−0.101779 | + | 0.994807i | \(0.532453\pi\) | |||||||
\(194\) | 8.55232e15 | − | 1.70921e16i | 0.826936 | − | 1.65266i | ||||
\(195\) | −6.79564e15 | + | 6.79564e15i | −0.633852 | + | 0.633852i | ||||
\(196\) | 6.21871e14 | + | 8.30173e14i | 0.0559638 | + | 0.0747096i | ||||
\(197\) | −7.44610e15 | + | 7.44610e15i | −0.646644 | + | 0.646644i | −0.952180 | − | 0.305536i | \(-0.901164\pi\) |
0.305536 | + | 0.952180i | \(0.401164\pi\) | |||||||
\(198\) | 2.14360e12 | + | 6.43709e12i | 0.000179675 | + | 0.000539552i | ||||
\(199\) | 1.22623e16 | 0.992202 | 0.496101 | − | 0.868265i | \(-0.334765\pi\) | ||||
0.496101 | + | 0.868265i | \(0.334765\pi\) | |||||||
\(200\) | −1.31140e15 | − | 7.24888e15i | −0.102453 | − | 0.566319i | ||||
\(201\) | − | 1.21226e16i | − | 0.914582i | ||||||
\(202\) | −5.12183e15 | − | 1.53805e16i | −0.373221 | − | 1.12076i | ||||
\(203\) | −1.36262e16 | − | 1.36262e16i | −0.959188 | − | 0.959188i | ||||
\(204\) | 3.04482e16 | + | 4.36795e15i | 2.07086 | + | 0.297075i | ||||
\(205\) | 8.77572e15 | + | 8.77572e15i | 0.576774 | + | 0.576774i | ||||
\(206\) | 4.92349e15 | − | 9.83977e15i | 0.312754 | − | 0.625050i | ||||
\(207\) | 6.67454e14i | 0.0409854i | ||||||||
\(208\) | −1.67382e16 | + | 9.15350e15i | −0.993721 | + | 0.543430i | ||||
\(209\) | −1.68293e13 | −0.000966142 | ||||||||
\(210\) | −1.21384e16 | − | 6.07364e15i | −0.673947 | − | 0.337220i | ||||
\(211\) | −1.80881e16 | + | 1.80881e16i | −0.971439 | + | 0.971439i | −0.999603 | − | 0.0281643i | \(-0.991034\pi\) |
0.0281643 | + | 0.999603i | \(0.491034\pi\) | |||||||
\(212\) | 2.42436e16 | + | 3.47786e15i | 1.25964 | + | 0.180701i | ||||
\(213\) | −2.62245e16 | + | 2.62245e16i | −1.31841 | + | 1.31841i | ||||
\(214\) | 2.96619e16 | − | 9.87763e15i | 1.44312 | − | 0.480570i | ||||
\(215\) | 2.21836e15 | 0.104463 | ||||||||
\(216\) | 1.14816e16 | + | 7.96374e15i | 0.523391 | + | 0.363028i | ||||
\(217\) | − | 9.69723e15i | − | 0.427986i | ||||||
\(218\) | 2.29382e16 | − | 7.63862e15i | 0.980313 | − | 0.326452i | ||||
\(219\) | −2.45051e15 | − | 2.45051e15i | −0.101426 | − | 0.101426i | ||||
\(220\) | 1.16491e13 | + | 1.55511e13i | 0.000467017 | + | 0.000623450i | ||||
\(221\) | 3.55135e16 | + | 3.55135e16i | 1.37927 | + | 1.37927i | ||||
\(222\) | 2.29810e16 | + | 1.14989e16i | 0.864765 | + | 0.432699i | ||||
\(223\) | 3.86073e16i | 1.40778i | 0.710308 | + | 0.703891i | \(0.248556\pi\) | ||||
−0.710308 | + | 0.703891i | \(0.751444\pi\) | |||||||
\(224\) | −1.97345e16 | − | 1.83443e16i | −0.697412 | − | 0.648283i | ||||
\(225\) | 7.99122e15 | 0.273738 | ||||||||
\(226\) | −1.62401e16 | + | 3.24564e16i | −0.539298 | + | 1.07781i | ||||
\(227\) | 1.43584e16 | − | 1.43584e16i | 0.462302 | − | 0.462302i | −0.437107 | − | 0.899409i | \(-0.643997\pi\) |
0.899409 | + | 0.437107i | \(0.143997\pi\) | |||||||
\(228\) | 2.51633e16 | − | 1.88495e16i | 0.785642 | − | 0.588512i | ||||
\(229\) | 1.27304e16 | − | 1.27304e16i | 0.385474 | − | 0.385474i | −0.487596 | − | 0.873070i | \(-0.662126\pi\) |
0.873070 | + | 0.487596i | \(0.162126\pi\) | |||||||
\(230\) | 6.03940e14 | + | 1.81359e15i | 0.0177378 | + | 0.0532653i | ||||
\(231\) | −4.85381e13 | −0.00138293 | ||||||||
\(232\) | −4.23470e16 | − | 2.93722e16i | −1.17060 | − | 0.811935i | ||||
\(233\) | − | 4.24872e16i | − | 1.13964i | −0.821770 | − | 0.569819i | \(-0.807013\pi\) | ||
0.821770 | − | 0.569819i | \(-0.192987\pi\) | |||||||
\(234\) | −6.53868e15 | − | 1.96352e16i | −0.170208 | − | 0.511122i | ||||
\(235\) | −1.01673e16 | − | 1.01673e16i | −0.256879 | − | 0.256879i | ||||
\(236\) | 5.31309e15 | − | 3.70366e16i | 0.130306 | − | 0.908338i | ||||
\(237\) | 2.07910e16 | + | 2.07910e16i | 0.495035 | + | 0.495035i | ||||
\(238\) | −3.17404e16 | + | 6.34344e16i | −0.733794 | + | 1.46651i | ||||
\(239\) | − | 3.23510e16i | − | 0.726277i | −0.931735 | − | 0.363138i | \(-0.881705\pi\) | ||
0.931735 | − | 0.363138i | \(-0.118295\pi\) | |||||||
\(240\) | −3.48357e16 | − | 1.02047e16i | −0.759532 | − | 0.222496i | ||||
\(241\) | −7.08657e16 | −1.50078 | −0.750389 | − | 0.660996i | \(-0.770134\pi\) | ||||
−0.750389 | + | 0.660996i | \(0.770134\pi\) | |||||||
\(242\) | −4.34699e16 | − | 2.17509e16i | −0.894295 | − | 0.447475i | ||||
\(243\) | −3.11593e16 | + | 3.11593e16i | −0.622793 | + | 0.622793i | ||||
\(244\) | −1.03667e16 | + | 7.22642e16i | −0.201331 | + | 1.40344i | ||||
\(245\) | −2.27864e15 | + | 2.27864e15i | −0.0430045 | + | 0.0430045i | ||||
\(246\) | −7.86661e16 | + | 2.61965e16i | −1.44292 | + | 0.480504i | ||||
\(247\) | 5.13347e16 | 0.915234 | ||||||||
\(248\) | −4.61680e15 | − | 2.55198e16i | −0.0800165 | − | 0.442299i | ||||
\(249\) | − | 1.30361e17i | − | 2.19661i | ||||||
\(250\) | 5.94427e16 | − | 1.97949e16i | 0.973909 | − | 0.324319i | ||||
\(251\) | −4.80957e16 | − | 4.80957e16i | −0.766285 | − | 0.766285i | 0.211165 | − | 0.977450i | \(-0.432274\pi\) |
−0.977450 | + | 0.211165i | \(0.932274\pi\) | |||||||
\(252\) | 2.33930e16 | − | 1.75234e16i | 0.362479 | − | 0.271528i | ||||
\(253\) | 4.83353e12 | + | 4.83353e12i | 7.28485e−5 | + | 7.28485e-5i | ||||
\(254\) | 1.05465e17 | + | 5.27713e16i | 1.54623 | + | 0.773681i | ||||
\(255\) | 9.55628e16i | 1.36304i | ||||||||
\(256\) | −6.06680e16 | − | 3.88804e16i | −0.841938 | − | 0.539574i | ||||
\(257\) | 4.31545e16 | 0.582766 | 0.291383 | − | 0.956606i | \(-0.405885\pi\) | ||||
0.291383 | + | 0.956606i | \(0.405885\pi\) | |||||||
\(258\) | −6.63174e15 | + | 1.32538e16i | −0.0871544 | + | 0.174181i | ||||
\(259\) | −4.19016e16 | + | 4.19016e16i | −0.535959 | + | 0.535959i | ||||
\(260\) | −3.55335e16 | − | 4.74358e16i | −0.442409 | − | 0.590599i | ||||
\(261\) | 3.95319e16 | − | 3.95319e16i | 0.479142 | − | 0.479142i | ||||
\(262\) | 3.22484e16 | + | 9.68398e16i | 0.380539 | + | 1.14273i | ||||
\(263\) | −2.12752e16 | −0.244446 | −0.122223 | − | 0.992503i | \(-0.539002\pi\) | ||||
−0.122223 | + | 0.992503i | \(0.539002\pi\) | |||||||
\(264\) | −1.27736e14 | + | 2.31088e13i | −0.00142918 | + | 0.000258553i | ||||
\(265\) | 7.60892e16i | 0.829091i | ||||||||
\(266\) | 2.29068e16 | + | 6.87874e16i | 0.243104 | + | 0.730025i | ||||
\(267\) | 4.51353e16 | + | 4.51353e16i | 0.466592 | + | 0.466592i | ||||
\(268\) | 7.40035e16 | + | 1.06162e16i | 0.745261 | + | 0.106911i | ||||
\(269\) | −3.20607e16 | − | 3.20607e16i | −0.314563 | − | 0.314563i | 0.532111 | − | 0.846674i | \(-0.321399\pi\) |
−0.846674 | + | 0.532111i | \(0.821399\pi\) | |||||||
\(270\) | −1.94252e16 | + | 3.88220e16i | −0.185703 | + | 0.371135i | ||||
\(271\) | − | 1.41946e17i | − | 1.32232i | −0.750243 | − | 0.661162i | \(-0.770063\pi\) | ||
0.750243 | − | 0.661162i | \(-0.229937\pi\) | |||||||
\(272\) | −5.33292e16 | + | 1.82049e17i | −0.484153 | + | 1.65275i | ||||
\(273\) | 1.48057e17 | 1.31006 | ||||||||
\(274\) | −1.62635e16 | − | 8.13772e15i | −0.140269 | − | 0.0701857i | ||||
\(275\) | 5.78703e13 | − | 5.78703e13i | 0.000486549 | − | 0.000486549i | ||||
\(276\) | −1.26409e16 | − | 1.81340e15i | −0.103613 | − | 0.0148638i | ||||
\(277\) | 3.93134e16 | − | 3.93134e16i | 0.314182 | − | 0.314182i | −0.532345 | − | 0.846527i | \(-0.678689\pi\) |
0.846527 | + | 0.532345i | \(0.178689\pi\) | |||||||
\(278\) | −6.60356e16 | + | 2.19904e16i | −0.514594 | + | 0.171364i | ||||
\(279\) | 2.81332e16 | 0.213791 | ||||||||
\(280\) | 4.77071e16 | − | 6.87811e16i | 0.353571 | − | 0.509756i | ||||
\(281\) | − | 9.27848e16i | − | 0.670707i | −0.942092 | − | 0.335353i | \(-0.891144\pi\) | ||
0.942092 | − | 0.335353i | \(-0.108856\pi\) | |||||||
\(282\) | 9.11400e16 | − | 3.03503e16i | 0.642636 | − | 0.214003i | ||||
\(283\) | −8.20356e16 | − | 8.20356e16i | −0.564284 | − | 0.564284i | 0.366238 | − | 0.930521i | \(-0.380646\pi\) |
−0.930521 | + | 0.366238i | \(0.880646\pi\) | |||||||
\(284\) | −1.37124e17 | − | 1.83056e17i | −0.920209 | − | 1.22844i | ||||
\(285\) | 6.90678e16 | + | 6.90678e16i | 0.452233 | + | 0.452233i | ||||
\(286\) | −1.89544e14 | − | 9.48415e13i | −0.00121101 | − | 0.000605949i | ||||
\(287\) | − | 1.91197e17i | − | 1.19209i | ||||||
\(288\) | 5.32197e16 | − | 5.72529e16i | 0.323836 | − | 0.348377i | ||||
\(289\) | 3.31027e17 | 1.96598 | ||||||||
\(290\) | 7.16451e16 | − | 1.43185e17i | 0.415337 | − | 0.830066i | ||||
\(291\) | −2.80498e17 | + | 2.80498e17i | −1.58737 | + | 1.58737i | ||||
\(292\) | 1.71054e16 | − | 1.28134e16i | 0.0945046 | − | 0.0707920i | ||||
\(293\) | −1.04050e16 | + | 1.04050e16i | −0.0561265 | + | 0.0561265i | −0.734613 | − | 0.678486i | \(-0.762636\pi\) |
0.678486 | + | 0.734613i | \(0.262636\pi\) | |||||||
\(294\) | −6.80199e15 | − | 2.04259e16i | −0.0358265 | − | 0.107585i | ||||
\(295\) | 1.16241e17 | 0.597866 | ||||||||
\(296\) | −9.03215e16 | + | 1.30220e17i | −0.453680 | + | 0.654086i | ||||
\(297\) | 1.55239e14i | 0.000761562i | ||||||||
\(298\) | 2.46071e16 | + | 7.38935e16i | 0.117909 | + | 0.354072i | ||||
\(299\) | −1.47438e16 | − | 1.47438e16i | −0.0690099 | − | 0.0690099i | ||||
\(300\) | −2.17113e16 | + | 1.51346e17i | −0.0992743 | + | 0.692024i | ||||
\(301\) | −2.41658e16 | − | 2.41658e16i | −0.107953 | − | 0.107953i | ||||
\(302\) | 9.99729e16 | − | 1.99800e17i | 0.436349 | − | 0.872059i | ||||
\(303\) | 3.36462e17i | 1.43495i | ||||||||
\(304\) | 9.30321e16 | + | 1.70119e17i | 0.387720 | + | 0.708987i | ||||
\(305\) | −2.26804e17 | −0.923743 | ||||||||
\(306\) | −1.84033e17 | − | 9.20841e16i | −0.732566 | − | 0.366551i | ||||
\(307\) | 8.88932e16 | − | 8.88932e16i | 0.345860 | − | 0.345860i | −0.512705 | − | 0.858565i | \(-0.671357\pi\) |
0.858565 | + | 0.512705i | \(0.171357\pi\) | |||||||
\(308\) | 4.25065e13 | − | 2.96306e14i | 0.000161659 | − | 0.00112690i | ||||
\(309\) | −1.61480e17 | + | 1.61480e17i | −0.600356 | + | 0.600356i | ||||
\(310\) | 7.64429e16 | − | 2.54561e16i | 0.277847 | − | 0.0925252i | ||||
\(311\) | −7.77190e16 | −0.276188 | −0.138094 | − | 0.990419i | \(-0.544098\pi\) | ||||
−0.138094 | + | 0.990419i | \(0.544098\pi\) | |||||||
\(312\) | 3.89636e17 | − | 7.04893e16i | 1.35387 | − | 0.244929i | ||||
\(313\) | 4.86673e17i | 1.65359i | 0.562505 | + | 0.826794i | \(0.309838\pi\) | ||||
−0.562505 | + | 0.826794i | \(0.690162\pi\) | |||||||
\(314\) | 4.70392e16 | − | 1.56644e16i | 0.156298 | − | 0.0520483i | ||||
\(315\) | 6.42088e16 | + | 6.42088e16i | 0.208651 | + | 0.208651i | ||||
\(316\) | −1.45128e17 | + | 1.08713e17i | −0.461255 | + | 0.345519i | ||||
\(317\) | −3.11594e17 | − | 3.11594e17i | −0.968665 | − | 0.968665i | 0.0308585 | − | 0.999524i | \(-0.490176\pi\) |
−0.999524 | + | 0.0308585i | \(0.990176\pi\) | |||||||
\(318\) | −4.54602e17 | − | 2.27467e17i | −1.38242 | − | 0.691718i | ||||
\(319\) | − | 5.72560e14i | − | 0.00170328i | ||||||
\(320\) | 9.28026e16 | − | 2.03722e17i | 0.270091 | − | 0.592908i | ||||
\(321\) | −6.48880e17 | −1.84769 | ||||||||
\(322\) | 1.31774e16 | − | 2.63355e16i | 0.0367145 | − | 0.0733753i | ||||
\(323\) | 3.60944e17 | − | 3.60944e17i | 0.984061 | − | 0.984061i | ||||
\(324\) | −2.80757e17 | − | 3.74800e17i | −0.749058 | − | 0.999964i | ||||
\(325\) | −1.76523e17 | + | 1.76523e17i | −0.460912 | + | 0.460912i | ||||
\(326\) | 1.28787e17 | + | 3.86740e17i | 0.329117 | + | 0.988315i | ||||
\(327\) | −5.01795e17 | −1.25514 | ||||||||
\(328\) | −9.10281e16 | − | 5.03166e17i | −0.222874 | − | 1.23195i | ||||
\(329\) | 2.21515e17i | 0.530923i | ||||||||
\(330\) | −1.27417e14 | − | 3.82625e14i | −0.000298971 | − | 0.000897791i | ||||
\(331\) | 2.66701e17 | + | 2.66701e17i | 0.612672 | + | 0.612672i | 0.943642 | − | 0.330969i | \(-0.107376\pi\) |
−0.330969 | + | 0.943642i | \(0.607376\pi\) | |||||||
\(332\) | 7.95803e17 | + | 1.14162e17i | 1.78994 | + | 0.256776i | ||||
\(333\) | −1.21563e17 | − | 1.21563e17i | −0.267727 | − | 0.267727i | ||||
\(334\) | 3.82670e17 | − | 7.64779e17i | 0.825275 | − | 1.64934i | ||||
\(335\) | 2.32262e17i | 0.490529i | ||||||||
\(336\) | 2.68319e17 | + | 4.90650e17i | 0.554979 | + | 1.01484i | ||||
\(337\) | −5.17163e17 | −1.04765 | −0.523827 | − | 0.851825i | \(-0.675496\pi\) | ||||
−0.523827 | + | 0.851825i | \(0.675496\pi\) | |||||||
\(338\) | 1.27460e17 | + | 6.37768e16i | 0.252905 | + | 0.126545i | ||||
\(339\) | 5.32640e17 | − | 5.32640e17i | 1.03523 | − | 1.03523i | ||||
\(340\) | −5.83372e17 | − | 8.36876e16i | −1.11069 | − | 0.159334i | ||||
\(341\) | 2.03733e14 | − | 2.03733e14i | 0.000379998 | − | 0.000379998i | ||||
\(342\) | −1.99563e17 | + | 6.64562e16i | −0.364669 | + | 0.121438i | ||||
\(343\) | 5.81483e17 | 1.04107 | ||||||||
\(344\) | −7.51013e16 | − | 5.20909e16i | −0.131746 | − | 0.0913803i | ||||
\(345\) | − | 3.96739e16i | − | 0.0681979i | ||||||
\(346\) | −6.31776e17 | + | 2.10386e17i | −1.06422 | + | 0.354393i | ||||
\(347\) | 2.70422e17 | + | 2.70422e17i | 0.446413 | + | 0.446413i | 0.894160 | − | 0.447747i | \(-0.147774\pi\) |
−0.447747 | + | 0.894160i | \(0.647774\pi\) | |||||||
\(348\) | 6.41291e17 | + | 8.56099e17i | 1.03753 | + | 1.38506i | ||||
\(349\) | 4.51559e17 | + | 4.51559e17i | 0.716039 | + | 0.716039i | 0.967792 | − | 0.251753i | \(-0.0810071\pi\) |
−0.251753 | + | 0.967792i | \(0.581007\pi\) | |||||||
\(350\) | −3.15306e17 | − | 1.57769e17i | −0.490068 | − | 0.245213i | ||||
\(351\) | − | 4.73529e17i | − | 0.721434i | ||||||
\(352\) | −2.92070e13 | − | 8.00013e14i | −4.36203e−5 | − | 0.00119481i | ||||
\(353\) | 3.33172e17 | 0.487804 | 0.243902 | − | 0.969800i | \(-0.421573\pi\) | ||||
0.243902 | + | 0.969800i | \(0.421573\pi\) | |||||||
\(354\) | −3.47499e17 | + | 6.94490e17i | −0.498805 | + | 0.996880i | ||||
\(355\) | 5.02448e17 | − | 5.02448e17i | 0.707120 | − | 0.707120i | ||||
\(356\) | −3.15059e17 | + | 2.36006e17i | −0.434753 | + | 0.325667i | ||||
\(357\) | 1.04102e18 | − | 1.04102e18i | 1.40858 | − | 1.40858i | ||||
\(358\) | −2.61221e17 | − | 7.84430e17i | −0.346599 | − | 1.04081i | ||||
\(359\) | −8.42132e17 | −1.09577 | −0.547884 | − | 0.836554i | \(-0.684567\pi\) | ||||
−0.547884 | + | 0.836554i | \(0.684567\pi\) | |||||||
\(360\) | 1.99545e17 | + | 1.38406e17i | 0.254638 | + | 0.176619i | ||||
\(361\) | 2.77264e17i | 0.347011i | ||||||||
\(362\) | 3.17924e17 | + | 9.54703e17i | 0.390268 | + | 1.17195i | ||||
\(363\) | 7.13381e17 | + | 7.13381e17i | 0.858964 | + | 0.858964i | ||||
\(364\) | −1.29659e17 | + | 9.03829e17i | −0.153141 | + | 1.06752i | ||||
\(365\) | 4.69505e16 | + | 4.69505e16i | 0.0543989 | + | 0.0543989i | ||||
\(366\) | 6.78025e17 | − | 1.35506e18i | 0.770687 | − | 1.54025i | ||||
\(367\) | − | 8.30857e17i | − | 0.926539i | −0.886217 | − | 0.463269i | \(-0.846676\pi\) | ||
0.886217 | − | 0.463269i | \(-0.153324\pi\) | |||||||
\(368\) | 2.21402e16 | − | 7.55796e16i | 0.0242240 | − | 0.0826932i | ||||
\(369\) | 5.54695e17 | 0.595483 | ||||||||
\(370\) | −4.40304e17 | − | 2.20313e17i | −0.463810 | − | 0.232075i | ||||
\(371\) | 8.28881e17 | − | 8.28881e17i | 0.856791 | − | 0.856791i | ||||
\(372\) | −7.64350e16 | + | 5.32815e17i | −0.0775339 | + | 0.540476i | ||||
\(373\) | −1.23600e17 | + | 1.23600e17i | −0.123043 | + | 0.123043i | −0.765947 | − | 0.642904i | \(-0.777729\pi\) |
0.642904 | + | 0.765947i | \(0.277729\pi\) | |||||||
\(374\) | −1.99957e15 | + | 6.65872e14i | −0.00195360 | + | 0.000650564i | ||||
\(375\) | −1.30036e18 | −1.24694 | ||||||||
\(376\) | 1.05462e17 | + | 5.82952e17i | 0.0992617 | + | 0.548678i | ||||
\(377\) | 1.74649e18i | 1.61353i | ||||||||
\(378\) | 6.34519e17 | − | 2.11300e17i | 0.575442 | − | 0.191627i | ||||
\(379\) | −7.14610e17 | − | 7.14610e17i | −0.636202 | − | 0.636202i | 0.313415 | − | 0.949616i | \(-0.398527\pi\) |
−0.949616 | + | 0.313415i | \(0.898527\pi\) | |||||||
\(380\) | −4.82116e17 | + | 3.61146e17i | −0.421373 | + | 0.315644i | ||||
\(381\) | −1.73079e18 | − | 1.73079e18i | −1.48514 | − | 1.48514i | ||||
\(382\) | −4.88596e17 | − | 2.44477e17i | −0.411630 | − | 0.205966i | ||||
\(383\) | 1.64694e18i | 1.36234i | 0.732125 | + | 0.681170i | \(0.238528\pi\) | ||||
−0.732125 | + | 0.681170i | \(0.761472\pi\) | |||||||
\(384\) | 9.39720e17 | + | 1.16348e18i | 0.763273 | + | 0.945017i | ||||
\(385\) | 9.29965e14 | 0.000741723 | ||||||||
\(386\) | −1.16297e17 | + | 2.32423e17i | −0.0910870 | + | 0.182041i | ||||
\(387\) | 7.01088e16 | − | 7.01088e16i | 0.0539257 | − | 0.0539257i | ||||
\(388\) | −1.46668e18 | − | 1.95797e18i | −1.10794 | − | 1.47905i | ||||
\(389\) | −3.87748e17 | + | 3.87748e17i | −0.287675 | + | 0.287675i | −0.836160 | − | 0.548485i | \(-0.815205\pi\) |
0.548485 | + | 0.836160i | \(0.315205\pi\) | |||||||
\(390\) | 3.88663e17 | + | 1.16713e18i | 0.283218 | + | 0.850485i | ||||
\(391\) | −2.07333e17 | −0.148399 | ||||||||
\(392\) | 1.30649e17 | − | 2.36357e16i | 0.0918549 | − | 0.0166175i | ||||
\(393\) | − | 2.11846e18i | − | 1.46309i | ||||||
\(394\) | 4.25865e17 | + | 1.27884e18i | 0.288934 | + | 0.867649i | ||||
\(395\) | −3.98344e17 | − | 3.98344e17i | −0.265509 | − | 0.265509i | ||||
\(396\) | 8.59631e14 | + | 1.23318e14i | 0.000562919 | + | 8.07535e-5i | ||||
\(397\) | 6.54170e17 | + | 6.54170e17i | 0.420879 | + | 0.420879i | 0.885506 | − | 0.464628i | \(-0.153812\pi\) |
−0.464628 | + | 0.885506i | \(0.653812\pi\) | |||||||
\(398\) | 7.02345e17 | − | 1.40366e18i | 0.443986 | − | 0.887322i | ||||
\(399\) | − | 1.50479e18i | − | 0.934684i | ||||||
\(400\) | −9.04891e17 | − | 2.65077e17i | −0.552302 | − | 0.161790i | ||||
\(401\) | −2.60448e16 | −0.0156210 | −0.00781052 | − | 0.999969i | \(-0.502486\pi\) | ||||
−0.00781052 | + | 0.999969i | \(0.502486\pi\) | |||||||
\(402\) | −1.38767e18 | − | 6.94343e17i | −0.817907 | − | 0.409253i | ||||
\(403\) | −6.21453e17 | + | 6.21453e17i | −0.359975 | + | 0.359975i | ||||
\(404\) | −2.05397e18 | − | 2.94652e17i | −1.16929 | − | 0.167741i | ||||
\(405\) | 1.02874e18 | − | 1.02874e18i | 0.575601 | − | 0.575601i | ||||
\(406\) | −2.34026e18 | + | 7.79326e17i | −1.28701 | + | 0.428585i | ||||
\(407\) | −1.76066e15 | −0.000951731 | ||||||||
\(408\) | 2.24398e18 | − | 3.23523e18i | 1.19233 | − | 1.71903i | ||||
\(409\) | 2.13483e18i | 1.11506i | 0.830155 | + | 0.557532i | \(0.188252\pi\) | ||||
−0.830155 | + | 0.557532i | \(0.811748\pi\) | |||||||
\(410\) | 1.50720e18 | − | 5.01910e17i | 0.773899 | − | 0.257715i | ||||
\(411\) | 2.66900e17 | + | 2.66900e17i | 0.134727 | + | 0.134727i | ||||
\(412\) | −8.44356e17 | − | 1.12718e18i | −0.419030 | − | 0.559389i | ||||
\(413\) | −1.26627e18 | − | 1.26627e18i | −0.617841 | − | 0.617841i | ||||
\(414\) | 7.64034e16 | + | 3.82297e16i | 0.0366531 | + | 0.0183400i | ||||
\(415\) | 2.49765e18i | 1.17814i | ||||||||
\(416\) | 8.90909e16 | + | 2.44030e18i | 0.0413219 | + | 1.13185i | ||||
\(417\) | 1.44459e18 | 0.658858 | ||||||||
\(418\) | −9.63927e14 | + | 1.92644e15i | −0.000432325 | + | 0.000864017i | ||||
\(419\) | −1.69867e18 | + | 1.69867e18i | −0.749221 | + | 0.749221i | −0.974333 | − | 0.225112i | \(-0.927725\pi\) |
0.225112 | + | 0.974333i | \(0.427725\pi\) | |||||||
\(420\) | −1.39050e18 | + | 1.04160e18i | −0.603150 | + | 0.451811i | ||||
\(421\) | 1.59517e18 | − | 1.59517e18i | 0.680508 | − | 0.680508i | −0.279607 | − | 0.960115i | \(-0.590204\pi\) |
0.960115 | + | 0.279607i | \(0.0902041\pi\) | |||||||
\(422\) | 1.03451e18 | + | 3.10657e18i | 0.434059 | + | 1.30345i | ||||
\(423\) | −6.42650e17 | −0.265211 | ||||||||
\(424\) | 1.78671e18 | − | 2.57596e18i | 0.725257 | − | 1.04563i | ||||
\(425\) | 2.48233e18i | 0.991146i | ||||||||
\(426\) | 1.49986e18 | + | 4.50398e18i | 0.589093 | + | 1.76901i | ||||
\(427\) | 2.47069e18 | + | 2.47069e18i | 0.954605 | + | 0.954605i | ||||
\(428\) | 5.68246e17 | − | 3.96115e18i | 0.215988 | − | 1.50562i | ||||
\(429\) | 3.11060e15 | + | 3.11060e15i | 0.00116317 | + | 0.00116317i | ||||
\(430\) | 1.27061e17 | − | 2.53935e17i | 0.0467446 | − | 0.0934208i | ||||
\(431\) | − | 7.36036e17i | − | 0.266415i | −0.991088 | − | 0.133207i | \(-0.957472\pi\) | ||
0.991088 | − | 0.133207i | \(-0.0425276\pi\) | |||||||
\(432\) | 1.56924e18 | − | 8.58160e17i | 0.558860 | − | 0.305620i | ||||
\(433\) | 1.80628e18 | 0.632951 | 0.316476 | − | 0.948601i | \(-0.397500\pi\) | ||||
0.316476 | + | 0.948601i | \(0.397500\pi\) | |||||||
\(434\) | −1.11004e18 | − | 5.55427e17i | −0.382746 | − | 0.191513i | ||||
\(435\) | −2.34980e18 | + | 2.34980e18i | −0.797273 | + | 0.797273i | ||||
\(436\) | 4.39439e17 | − | 3.06326e18i | 0.146721 | − | 1.02277i | ||||
\(437\) | −1.49850e17 | + | 1.49850e17i | −0.0492363 | + | 0.0492363i | ||||
\(438\) | −4.20868e17 | + | 1.40152e17i | −0.136090 | + | 0.0453191i | ||||
\(439\) | 2.72014e17 | 0.0865643 | 0.0432822 | − | 0.999063i | \(-0.486219\pi\) | ||||
0.0432822 | + | 0.999063i | \(0.486219\pi\) | |||||||
\(440\) | 2.44735e15 | − | 4.42752e14i | 0.000766527 | − | 0.000138673i | ||||
\(441\) | 1.44028e17i | 0.0443994i | ||||||||
\(442\) | 6.09934e18 | − | 2.03113e18i | 1.85066 | − | 0.616284i | ||||
\(443\) | 2.30191e17 | + | 2.30191e17i | 0.0687484 | + | 0.0687484i | 0.740645 | − | 0.671897i | \(-0.234520\pi\) |
−0.671897 | + | 0.740645i | \(0.734520\pi\) | |||||||
\(444\) | 2.63256e18 | − | 1.97201e18i | 0.773923 | − | 0.579734i | ||||
\(445\) | −8.64769e17 | − | 8.64769e17i | −0.250253 | − | 0.250253i | ||||
\(446\) | 4.41938e18 | + | 2.21131e18i | 1.25897 | + | 0.629948i | ||||
\(447\) | − | 1.61649e18i | − | 0.453335i | ||||||
\(448\) | −3.23020e18 | + | 1.20830e18i | −0.891832 | + | 0.333602i | ||||
\(449\) | 1.53483e17 | 0.0417193 | 0.0208596 | − | 0.999782i | \(-0.493360\pi\) | ||||
0.0208596 | + | 0.999782i | \(0.493360\pi\) | |||||||
\(450\) | 4.57712e17 | − | 9.14754e17i | 0.122491 | − | 0.244803i | ||||
\(451\) | 4.01695e15 | − | 4.01695e15i | 0.00105843 | − | 0.00105843i | ||||
\(452\) | 2.78510e18 | + | 3.71800e18i | 0.722556 | + | 0.964585i | ||||
\(453\) | −3.27890e18 | + | 3.27890e18i | −0.837607 | + | 0.837607i | ||||
\(454\) | −8.21202e17 | − | 2.46601e18i | −0.206566 | − | 0.620304i | ||||
\(455\) | −2.83670e18 | −0.702640 | ||||||||
\(456\) | −7.16422e17 | − | 3.96009e18i | −0.174749 | − | 0.965941i | ||||
\(457\) | − | 4.62602e18i | − | 1.11121i | −0.831448 | − | 0.555603i | \(-0.812488\pi\) | ||
0.831448 | − | 0.555603i | \(-0.187512\pi\) | |||||||
\(458\) | −7.28092e17 | − | 2.18641e18i | −0.172238 | − | 0.517218i | ||||
\(459\) | −3.32947e18 | − | 3.32947e18i | −0.775686 | − | 0.775686i | ||||
\(460\) | 2.42193e17 | + | 3.47438e16i | 0.0555721 | + | 0.00797210i | ||||
\(461\) | 1.18142e18 | + | 1.18142e18i | 0.266991 | + | 0.266991i | 0.827887 | − | 0.560895i | \(-0.189543\pi\) |
−0.560895 | + | 0.827887i | \(0.689543\pi\) | |||||||
\(462\) | −2.78011e15 | + | 5.55616e15i | −0.000618826 | + | 0.00123675i | ||||
\(463\) | 2.29904e18i | 0.504058i | 0.967720 | + | 0.252029i | \(0.0810978\pi\) | ||||
−0.967720 | + | 0.252029i | \(0.918902\pi\) | |||||||
\(464\) | −5.78774e18 | + | 3.16511e18i | −1.24992 | + | 0.683538i | ||||
\(465\) | −1.67226e18 | −0.355740 | ||||||||
\(466\) | −4.86351e18 | − | 2.43353e18i | −1.01917 | − | 0.509960i | ||||
\(467\) | −7.17990e17 | + | 7.17990e17i | −0.148218 | + | 0.148218i | −0.777321 | − | 0.629104i | \(-0.783422\pi\) |
0.629104 | + | 0.777321i | \(0.283422\pi\) | |||||||
\(468\) | −2.62215e18 | − | 3.76161e17i | −0.533258 | − | 0.0764985i | ||||
\(469\) | 2.53016e18 | − | 2.53016e18i | 0.506918 | − | 0.506918i | ||||
\(470\) | −1.74619e18 | + | 5.81496e17i | −0.344673 | + | 0.114779i | ||||
\(471\) | −1.02902e18 | −0.200115 | ||||||||
\(472\) | −3.93526e18 | − | 2.72953e18i | −0.754015 | − | 0.522991i | ||||
\(473\) | − | 1.01542e15i | − | 0.000191698i | ||||||
\(474\) | 3.57078e18 | − | 1.18910e18i | 0.664224 | − | 0.221192i | ||||
\(475\) | 1.79410e18 | + | 1.79410e18i | 0.328846 | + | 0.328846i | ||||
\(476\) | 5.44334e18 | + | 7.26664e18i | 0.983142 | + | 1.31246i | ||||
\(477\) | 2.40472e18 | + | 2.40472e18i | 0.427992 | + | 0.427992i | ||||
\(478\) | −3.70321e18 | − | 1.85296e18i | −0.649506 | − | 0.324991i | ||||
\(479\) | − | 8.89880e17i | − | 0.153809i | −0.997038 | − | 0.0769047i | \(-0.975496\pi\) | ||
0.997038 | − | 0.0769047i | \(-0.0245037\pi\) | |||||||
\(480\) | −3.16342e18 | + | 3.40315e18i | −0.538850 | + | 0.579685i | ||||
\(481\) | 5.37058e18 | 0.901582 | ||||||||
\(482\) | −4.05896e18 | + | 8.11198e18i | −0.671562 | + | 1.34214i | ||||
\(483\) | −4.32189e17 | + | 4.32189e17i | −0.0704765 | + | 0.0704765i | ||||
\(484\) | −4.97964e18 | + | 3.73017e18i | −0.800350 | + | 0.599530i | ||||
\(485\) | 5.37419e18 | − | 5.37419e18i | 0.851374 | − | 0.851374i | ||||
\(486\) | 1.78210e18 | + | 5.35151e18i | 0.278277 | + | 0.835646i | ||||
\(487\) | 4.88908e18 | 0.752531 | 0.376266 | − | 0.926512i | \(-0.377208\pi\) | ||||
0.376266 | + | 0.926512i | \(0.377208\pi\) | |||||||
\(488\) | 7.67831e18 | + | 5.32574e18i | 1.16500 | + | 0.808055i | ||||
\(489\) | − | 8.46028e18i | − | 1.26538i | ||||||
\(490\) | 1.30323e17 | + | 3.91350e17i | 0.0192153 | + | 0.0577022i | ||||
\(491\) | −9.46496e18 | − | 9.46496e18i | −1.37578 | − | 1.37578i | −0.851622 | − | 0.524156i | \(-0.824381\pi\) |
−0.524156 | − | 0.851622i | \(-0.675619\pi\) | |||||||
\(492\) | −1.50705e18 | + | 1.05054e19i | −0.215959 | + | 1.50541i | ||||
\(493\) | 1.22799e19 | + | 1.22799e19i | 1.73487 | + | 1.73487i | ||||
\(494\) | 2.94029e18 | − | 5.87628e18i | 0.409545 | − | 0.818490i | ||||
\(495\) | 2.69798e15i | 0.000370512i | ||||||||
\(496\) | −3.18569e18 | − | 9.33210e17i | −0.431351 | − | 0.126359i | ||||
\(497\) | −1.09469e19 | −1.46149 | ||||||||
\(498\) | −1.49224e19 | − | 7.46669e18i | −1.96442 | − | 0.982930i | ||||
\(499\) | 7.40579e18 | − | 7.40579e18i | 0.961319 | − | 0.961319i | −0.0379606 | − | 0.999279i | \(-0.512086\pi\) |
0.999279 | + | 0.0379606i | \(0.0120862\pi\) | |||||||
\(500\) | 1.13877e18 | − | 7.93818e18i | 0.145763 | − | 1.01609i | ||||
\(501\) | −1.25507e19 | + | 1.25507e19i | −1.58418 | + | 1.58418i | ||||
\(502\) | −8.26028e18 | + | 2.75074e18i | −1.02818 | + | 0.342392i | ||||
\(503\) | 7.96672e18 | 0.977921 | 0.488961 | − | 0.872306i | \(-0.337376\pi\) | ||||
0.488961 | + | 0.872306i | \(0.337376\pi\) | |||||||
\(504\) | −6.66020e17 | − | 3.68148e18i | −0.0806257 | − | 0.445666i | ||||
\(505\) | − | 6.44644e18i | − | 0.769627i | ||||||
\(506\) | 8.30142e14 | − | 2.76444e14i | 9.77460e−5 | − | 3.25502e-5i | ||||
\(507\) | −2.09174e18 | − | 2.09174e18i | −0.242914 | − | 0.242914i | ||||
\(508\) | 1.20815e19 | − | 9.05004e18i | 1.38380 | − | 1.03658i | ||||
\(509\) | −6.56802e18 | − | 6.56802e18i | −0.742011 | − | 0.742011i | 0.230954 | − | 0.972965i | \(-0.425815\pi\) |
−0.972965 | + | 0.230954i | \(0.925815\pi\) | |||||||
\(510\) | 1.09391e19 | + | 5.47354e18i | 1.21896 | + | 0.609926i | ||||
\(511\) | − | 1.02291e18i | − | 0.112433i | ||||||
\(512\) | −7.92551e18 | + | 4.71771e18i | −0.859286 | + | 0.511496i | ||||
\(513\) | −4.81274e18 | −0.514719 | ||||||||
\(514\) | 2.47175e18 | − | 4.93989e18i | 0.260773 | − | 0.521165i | ||||
\(515\) | 3.09387e18 | − | 3.09387e18i | 0.321997 | − | 0.321997i | ||||
\(516\) | 1.13731e18 | + | 1.51827e18i | 0.116770 | + | 0.155884i | ||||
\(517\) | −4.65390e15 | + | 4.65390e15i | −0.000471393 | + | 0.000471393i | ||||
\(518\) | 2.39648e18 | + | 7.19646e18i | 0.239478 | + | 0.719135i | ||||
\(519\) | 1.38207e19 | 1.36256 | ||||||||
\(520\) | −7.46522e18 | + | 1.35054e18i | −0.726138 | + | 0.131366i | ||||
\(521\) | − | 1.65515e19i | − | 1.58845i | −0.607623 | − | 0.794225i | \(-0.707877\pi\) | ||
0.607623 | − | 0.794225i | \(-0.292123\pi\) | |||||||
\(522\) | −2.26095e18 | − | 6.78948e18i | −0.214091 | − | 0.642900i | ||||
\(523\) | 6.16491e18 | + | 6.16491e18i | 0.575990 | + | 0.575990i | 0.933796 | − | 0.357806i | \(-0.116475\pi\) |
−0.357806 | + | 0.933796i | \(0.616475\pi\) | |||||||
\(524\) | 1.29323e19 | + | 1.85521e18i | 1.19222 | + | 0.171030i | ||||
\(525\) | 5.17447e18 | + | 5.17447e18i | 0.470707 | + | 0.470707i | ||||
\(526\) | −1.21858e18 | + | 2.43537e18i | −0.109384 | + | 0.218607i | ||||
\(527\) | 8.73910e18i | 0.774092i | ||||||||
\(528\) | −4.67105e15 | + | 1.59455e16i | −0.000408298 | + | 0.00139380i | ||||
\(529\) | −1.15068e19 | −0.992575 | ||||||||
\(530\) | 8.70992e18 | + | 4.35815e18i | 0.741452 | + | 0.370998i | ||||
\(531\) | 3.67366e18 | − | 3.67366e18i | 0.308629 | − | 0.308629i | ||||
\(532\) | 9.18612e18 | + | 1.31779e18i | 0.761641 | + | 0.109261i | ||||
\(533\) | −1.22530e19 | + | 1.22530e19i | −1.00266 | + | 1.00266i | ||||
\(534\) | 7.75184e18 | − | 2.58143e18i | 0.626060 | − | 0.208483i | ||||
\(535\) | 1.24322e19 | 0.990995 | ||||||||
\(536\) | 5.45392e18 | − | 7.86311e18i | 0.429097 | − | 0.618644i | ||||
\(537\) | 1.71601e19i | 1.33260i | ||||||||
\(538\) | −5.50633e18 | + | 1.83365e18i | −0.422072 | + | 0.140553i | ||||
\(539\) | 1.04301e15 | + | 1.04301e15i | 7.89166e−5 | + | 7.89166e-5i | ||||
\(540\) | 3.33134e18 | + | 4.44721e18i | 0.248807 | + | 0.332148i | ||||
\(541\) | −1.38424e18 | − | 1.38424e18i | −0.102054 | − | 0.102054i | 0.654236 | − | 0.756290i | \(-0.272990\pi\) |
−0.756290 | + | 0.654236i | \(0.772990\pi\) | |||||||
\(542\) | −1.62485e19 | − | 8.13022e18i | −1.18255 | − | 0.591708i | ||||
\(543\) | − | 2.08850e19i | − | 1.50050i | ||||||
\(544\) | 1.77846e19 | + | 1.65318e19i | 1.26140 | + | 1.17254i | ||||
\(545\) | 9.61412e18 | 0.673185 | ||||||||
\(546\) | 8.48025e18 | − | 1.69481e19i | 0.586219 | − | 1.17158i | ||||
\(547\) | −1.54209e19 | + | 1.54209e19i | −1.05244 | + | 1.05244i | −0.0538949 | + | 0.998547i | \(0.517164\pi\) |
−0.998547 | + | 0.0538949i | \(0.982836\pi\) | |||||||
\(548\) | −1.86305e18 | + | 1.39558e18i | −0.125534 | + | 0.0940354i | ||||
\(549\) | −7.16788e18 | + | 7.16788e18i | −0.476853 | + | 0.476853i | ||||
\(550\) | −3.30978e15 | − | 9.93904e15i | −0.000217400 | − | 0.000652838i | ||||
\(551\) | 1.77506e19 | 1.15120 | ||||||||
\(552\) | −9.31612e17 | + | 1.34314e18i | −0.0596570 | + | 0.0860096i | ||||
\(553\) | 8.67875e18i | 0.548759i | ||||||||
\(554\) | −2.24845e18 | − | 6.75194e18i | −0.140383 | − | 0.421561i | ||||
\(555\) | 7.22580e18 | + | 7.22580e18i | 0.445487 | + | 0.445487i | ||||
\(556\) | −1.26508e18 | + | 8.81863e18i | −0.0770182 | + | 0.536881i | ||||
\(557\) | −9.93712e18 | − | 9.93712e18i | −0.597412 | − | 0.597412i | 0.342211 | − | 0.939623i | \(-0.388824\pi\) |
−0.939623 | + | 0.342211i | \(0.888824\pi\) | |||||||
\(558\) | 1.61138e18 | − | 3.22041e18i | 0.0956664 | − | 0.191193i | ||||
\(559\) | 3.09736e18i | 0.181597i | ||||||||
\(560\) | −5.14085e18 | − | 9.40059e18i | −0.297659 | − | 0.544301i | ||||
\(561\) | 4.37424e16 | 0.00250128 | ||||||||
\(562\) | −1.06211e19 | − | 5.31442e18i | −0.599810 | − | 0.300125i | ||||
\(563\) | −2.02380e19 | + | 2.02380e19i | −1.12878 | + | 1.12878i | −0.138401 | + | 0.990376i | \(0.544196\pi\) |
−0.990376 | + | 0.138401i | \(0.955804\pi\) | |||||||
\(564\) | 1.74601e18 | − | 1.21712e19i | 0.0961819 | − | 0.670468i | ||||
\(565\) | −1.02051e19 | + | 1.02051e19i | −0.555236 | + | 0.555236i | ||||
\(566\) | −1.40894e19 | + | 4.69187e18i | −0.757140 | + | 0.252134i | ||||
\(567\) | −2.24133e19 | −1.18966 | ||||||||
\(568\) | −2.88085e19 | + | 5.21176e18i | −1.51036 | + | 0.273241i | ||||
\(569\) | − | 5.93469e18i | − | 0.307335i | −0.988123 | − | 0.153668i | \(-0.950891\pi\) | ||
0.988123 | − | 0.153668i | \(-0.0491085\pi\) | |||||||
\(570\) | 1.18622e19 | − | 3.95020e18i | 0.606793 | − | 0.202067i | ||||
\(571\) | −1.59211e19 | − | 1.59211e19i | −0.804488 | − | 0.804488i | 0.179305 | − | 0.983793i | \(-0.442615\pi\) |
−0.983793 | + | 0.179305i | \(0.942615\pi\) | |||||||
\(572\) | −2.17130e16 | + | 1.62649e16i | −0.00108380 | + | 0.000811856i | ||||
\(573\) | 8.01832e18 | + | 8.01832e18i | 0.395368 | + | 0.395368i | ||||
\(574\) | −2.18863e19 | − | 1.09512e19i | −1.06608 | − | 0.533431i | ||||
\(575\) | − | 1.03057e18i | − | 0.0495908i | ||||||
\(576\) | −3.50547e18 | − | 9.37133e18i | −0.166644 | − | 0.445496i | ||||
\(577\) | 1.72090e19 | 0.808212 | 0.404106 | − | 0.914712i | \(-0.367583\pi\) | ||||
0.404106 | + | 0.914712i | \(0.367583\pi\) | |||||||
\(578\) | 1.89602e19 | − | 3.78926e19i | 0.879726 | − | 1.75816i | ||||
\(579\) | 3.81428e18 | − | 3.81428e18i | 0.174849 | − | 0.174849i | ||||
\(580\) | −1.22868e19 | − | 1.64024e19i | −0.556472 | − | 0.742868i | ||||
\(581\) | 2.72083e19 | − | 2.72083e19i | 1.21750 | − | 1.21750i | ||||
\(582\) | 1.60425e19 | + | 4.81746e19i | 0.709270 | + | 2.12989i | ||||
\(583\) | 3.48287e16 | 0.00152145 | ||||||||
\(584\) | −4.87005e17 | − | 2.69196e18i | −0.0210205 | − | 0.116193i | ||||
\(585\) | − | 8.22972e18i | − | 0.350989i | ||||||
\(586\) | 5.95092e17 | + | 1.78702e18i | 0.0250785 | + | 0.0753089i | ||||
\(587\) | −6.96287e18 | − | 6.96287e18i | −0.289949 | − | 0.289949i | 0.547111 | − | 0.837060i | \(-0.315728\pi\) |
−0.837060 | + | 0.547111i | \(0.815728\pi\) | |||||||
\(588\) | −2.72775e18 | − | 3.91309e17i | −0.112244 | − | 0.0161020i | ||||
\(589\) | 6.31617e18 | + | 6.31617e18i | 0.256831 | + | 0.256831i | ||||
\(590\) | 6.65790e18 | − | 1.33061e19i | 0.267530 | − | 0.534669i | ||||
\(591\) | − | 2.79758e19i | − | 1.11089i | ||||||
\(592\) | 9.73291e18 | + | 1.77977e19i | 0.381936 | + | 0.698412i | ||||
\(593\) | −2.76423e19 | −1.07199 | −0.535996 | − | 0.844220i | \(-0.680064\pi\) | ||||
−0.535996 | + | 0.844220i | \(0.680064\pi\) | |||||||
\(594\) | 1.77702e16 | + | 8.89159e15i | 0.000681062 | + | 0.000340780i | ||||
\(595\) | −1.99453e19 | + | 1.99453e19i | −0.755479 | + | 0.755479i | ||||
\(596\) | 9.86800e18 | + | 1.41561e18i | 0.369407 | + | 0.0529933i | ||||
\(597\) | −2.30354e19 | + | 2.30354e19i | −0.852267 | + | 0.852267i | ||||
\(598\) | −2.53220e18 | + | 8.43244e17i | −0.0925956 | + | 0.0308351i | ||||
\(599\) | −1.28539e19 | −0.464564 | −0.232282 | − | 0.972648i | \(-0.574619\pi\) | ||||
−0.232282 | + | 0.972648i | \(0.574619\pi\) | |||||||
\(600\) | 1.60810e19 | + | 1.11539e19i | 0.574452 | + | 0.398445i | ||||
\(601\) | 4.79913e19i | 1.69450i | 0.531195 | + | 0.847250i | \(0.321743\pi\) | ||||
−0.531195 | + | 0.847250i | \(0.678257\pi\) | |||||||
\(602\) | −4.15039e18 | + | 1.38211e18i | −0.144848 | + | 0.0482357i | ||||
\(603\) | 7.34040e18 | + | 7.34040e18i | 0.253220 | + | 0.253220i | ||||
\(604\) | −1.71449e19 | − | 2.28878e19i | −0.584624 | − | 0.780450i | ||||
\(605\) | −1.36680e19 | − | 1.36680e19i | −0.460699 | − | 0.460699i | ||||
\(606\) | 3.85148e19 | + | 1.92715e19i | 1.28327 | + | 0.642107i | ||||
\(607\) | 4.49254e19i | 1.47969i | 0.672777 | + | 0.739845i | \(0.265101\pi\) | ||||
−0.672777 | + | 0.739845i | \(0.734899\pi\) | |||||||
\(608\) | 2.48021e19 | − | 9.05481e17i | 0.807540 | − | 0.0294818i | ||||
\(609\) | 5.11954e19 | 1.64782 | ||||||||
\(610\) | −1.29906e19 | + | 2.59622e19i | −0.413352 | + | 0.826099i | ||||
\(611\) | 1.41959e19 | − | 1.41959e19i | 0.446555 | − | 0.446555i | ||||
\(612\) | −2.10817e19 | + | 1.57920e19i | −0.655611 | + | 0.491108i | ||||
\(613\) | 3.72953e19 | − | 3.72953e19i | 1.14665 | − | 1.14665i | 0.159444 | − | 0.987207i | \(-0.449030\pi\) |
0.987207 | − | 0.159444i | \(-0.0509701\pi\) | |||||||
\(614\) | −5.08407e18 | − | 1.52671e19i | −0.154537 | − | 0.464065i | ||||
\(615\) | −3.29714e19 | −0.990858 | ||||||||
\(616\) | −3.14835e16 | − | 2.18372e16i | −0.000935443 | − | 0.000648831i | ||||
\(617\) | − | 2.62552e19i | − | 0.771292i | −0.922647 | − | 0.385646i | \(-0.873979\pi\) | ||
0.922647 | − | 0.385646i | \(-0.126021\pi\) | |||||||
\(618\) | 9.23552e18 | + | 2.77336e19i | 0.268251 | + | 0.805541i | ||||
\(619\) | −1.39917e19 | − | 1.39917e19i | −0.401825 | − | 0.401825i | 0.477051 | − | 0.878876i | \(-0.341706\pi\) |
−0.878876 | + | 0.477051i | \(0.841706\pi\) | |||||||
\(620\) | 1.46445e18 | − | 1.02085e19i | 0.0415847 | − | 0.289880i | ||||
\(621\) | 1.38226e18 | + | 1.38226e18i | 0.0388106 | + | 0.0388106i | ||||
\(622\) | −4.45150e18 | + | 8.89649e18i | −0.123587 | + | 0.246994i | ||||
\(623\) | 1.88408e19i | 0.517229i | ||||||||
\(624\) | 1.42482e19 | − | 4.86390e19i | 0.386784 | − | 1.32036i | ||||
\(625\) | 3.47477e18 | 0.0932752 | ||||||||
\(626\) | 5.57094e19 | + | 2.78751e19i | 1.47880 | + | 0.739940i | ||||
\(627\) | 3.16147e16 | − | 3.16147e16i | 0.000829883 | − | 0.000829883i | ||||
\(628\) | 9.01152e17 | − | 6.28178e18i | 0.0233927 | − | 0.163067i | ||||
\(629\) | 3.77615e19 | − | 3.77615e19i | 0.969382 | − | 0.969382i | ||||
\(630\) | 1.10276e19 | − | 3.67229e18i | 0.279962 | − | 0.0932295i | ||||
\(631\) | 5.44797e19 | 1.36782 | 0.683910 | − | 0.729566i | \(-0.260278\pi\) | ||||
0.683910 | + | 0.729566i | \(0.260278\pi\) | |||||||
\(632\) | 4.13191e18 | + | 2.28395e19i | 0.102596 | + | 0.567110i | ||||
\(633\) | − | 6.79590e19i | − | 1.66887i | ||||||
\(634\) | −5.35152e19 | + | 1.78210e19i | −1.29973 | + | 0.432820i | ||||
\(635\) | 3.31609e19 | + | 3.31609e19i | 0.796546 | + | 0.796546i | ||||
\(636\) | −5.20763e19 | + | 3.90096e19i | −1.23720 | + | 0.926769i | ||||
\(637\) | −3.18153e18 | − | 3.18153e18i | −0.0747584 | − | 0.0747584i | ||||
\(638\) | −6.55408e16 | − | 3.27944e16i | −0.00152324 | − | 0.000762176i | ||||
\(639\) | − | 3.17587e19i | − | 0.730056i | ||||||
\(640\) | −1.80045e19 | − | 2.22916e19i | −0.409376 | − | 0.506853i | ||||
\(641\) | 8.37844e17 | 0.0188433 | 0.00942165 | − | 0.999956i | \(-0.497001\pi\) | ||||
0.00942165 | + | 0.999956i | \(0.497001\pi\) | |||||||
\(642\) | −3.71658e19 | + | 7.42772e19i | −0.826796 | + | 1.65238i | ||||
\(643\) | 5.56239e19 | − | 5.56239e19i | 1.22401 | − | 1.22401i | 0.257816 | − | 0.966194i | \(-0.416997\pi\) |
0.966194 | − | 0.257816i | \(-0.0830027\pi\) | |||||||
\(644\) | −2.25986e18 | − | 3.01682e18i | −0.0491904 | − | 0.0656673i | ||||
\(645\) | −4.16731e18 | + | 4.16731e18i | −0.0897301 | + | 0.0897301i | ||||
\(646\) | −2.06435e19 | − | 6.19909e19i | −0.439699 | − | 1.32038i | ||||
\(647\) | 3.58620e17 | 0.00755622 | 0.00377811 | − | 0.999993i | \(-0.498797\pi\) | ||||
0.00377811 | + | 0.999993i | \(0.498797\pi\) | |||||||
\(648\) | −5.89842e19 | + | 1.06709e19i | −1.22945 | + | 0.222420i | ||||
\(649\) | − | 5.32073e16i | − | 0.00109713i | ||||||
\(650\) | 1.00959e19 | + | 3.03173e19i | 0.205945 | + | 0.618439i | ||||
\(651\) | 1.82168e19 | + | 1.82168e19i | 0.367625 | + | 0.367625i | ||||
\(652\) | 5.16466e19 | + | 7.40896e18i | 1.03112 | + | 0.147919i | ||||
\(653\) | 2.88198e19 | + | 2.88198e19i | 0.569245 | + | 0.569245i | 0.931917 | − | 0.362672i | \(-0.118135\pi\) |
−0.362672 | + | 0.931917i | \(0.618135\pi\) | |||||||
\(654\) | −2.87412e19 | + | 5.74404e19i | −0.561644 | + | 1.12247i | ||||
\(655\) | 4.05885e19i | 0.784719i | ||||||||
\(656\) | −6.28112e19 | − | 1.83998e19i | −1.20146 | − | 0.351954i | ||||
\(657\) | 2.96764e18 | 0.0561635 | ||||||||
\(658\) | 2.53568e19 | + | 1.26877e19i | 0.474802 | + | 0.237575i | ||||
\(659\) | 1.06824e19 | − | 1.06824e19i | 0.197911 | − | 0.197911i | −0.601193 | − | 0.799104i | \(-0.705308\pi\) |
0.799104 | + | 0.601193i | \(0.205308\pi\) | |||||||
\(660\) | −5.10970e16 | − | 7.33012e15i | −0.000936673 | − | 0.000134370i | ||||
\(661\) | −8.45481e18 | + | 8.45481e18i | −0.153353 | + | 0.153353i | −0.779614 | − | 0.626260i | \(-0.784585\pi\) |
0.626260 | + | 0.779614i | \(0.284585\pi\) | |||||||
\(662\) | 4.58050e19 | − | 1.52534e19i | 0.822067 | − | 0.273755i | ||||
\(663\) | −1.33428e20 | −2.36948 | ||||||||
\(664\) | 5.86492e19 | − | 8.45567e19i | 1.03059 | − | 1.48584i | ||||
\(665\) | 2.88309e19i | 0.501311i | ||||||||
\(666\) | −2.08781e19 | + | 6.95257e18i | −0.359229 | + | 0.119626i | ||||
\(667\) | −5.09814e18 | − | 5.09814e18i | −0.0868022 | − | 0.0868022i | ||||
\(668\) | −6.56261e19 | − | 8.76083e19i | −1.10571 | − | 1.47608i | ||||
\(669\) | −7.25261e19 | − | 7.25261e19i | −1.20924 | − | 1.20924i | ||||
\(670\) | 2.65870e19 | + | 1.33033e19i | 0.438678 | + | 0.219500i | ||||
\(671\) | 1.03816e17i | 0.00169514i | ||||||||
\(672\) | 7.15331e19 | − | 2.61154e18i | 1.15591 | − | 0.0422000i | ||||
\(673\) | 1.63308e19 | 0.261157 | 0.130579 | − | 0.991438i | \(-0.458317\pi\) | ||||
0.130579 | + | 0.991438i | \(0.458317\pi\) | |||||||
\(674\) | −2.96215e19 | + | 5.91996e19i | −0.468799 | + | 0.936913i | ||||
\(675\) | 1.65494e19 | − | 1.65494e19i | 0.259213 | − | 0.259213i | ||||
\(676\) | 1.46011e19 | − | 1.09374e19i | 0.226338 | − | 0.169546i | ||||
\(677\) | 2.48106e19 | − | 2.48106e19i | 0.380642 | − | 0.380642i | −0.490692 | − | 0.871333i | \(-0.663256\pi\) |
0.871333 | + | 0.490692i | \(0.163256\pi\) | |||||||
\(678\) | −3.04633e19 | − | 9.14791e19i | −0.462561 | − | 1.38904i | ||||
\(679\) | −1.17088e20 | −1.75964 | ||||||||
\(680\) | −4.29935e19 | + | 6.19852e19i | −0.639499 | + | 0.921989i | ||||
\(681\) | 5.39463e19i | 0.794203i | ||||||||
\(682\) | −1.16521e16 | − | 3.49906e16i | −0.000169791 | − | 0.000509871i | ||||
\(683\) | −3.23801e19 | − | 3.23801e19i | −0.467018 | − | 0.467018i | 0.433929 | − | 0.900947i | \(-0.357127\pi\) |
−0.900947 | + | 0.433929i | \(0.857127\pi\) | |||||||
\(684\) | −3.82313e18 | + | 2.66504e19i | −0.0545791 | + | 0.380462i | ||||
\(685\) | −5.11366e18 | − | 5.11366e18i | −0.0722599 | − | 0.0722599i | ||||
\(686\) | 3.33055e19 | − | 6.65623e19i | 0.465852 | − | 0.931022i | ||||
\(687\) | 4.78297e19i | 0.662218i | ||||||||
\(688\) | −1.02644e19 | + | 5.61323e18i | −0.140674 | + | 0.0769297i | ||||
\(689\) | −1.06239e20 | −1.44128 | ||||||||
\(690\) | −4.54147e18 | − | 2.27240e18i | −0.0609892 | − | 0.0305169i | ||||
\(691\) | 4.41601e17 | − | 4.41601e17i | 0.00587062 | − | 0.00587062i | −0.704165 | − | 0.710036i | \(-0.748679\pi\) |
0.710036 | + | 0.704165i | \(0.248679\pi\) | |||||||
\(692\) | −1.21032e19 | + | 8.43696e19i | −0.159279 | + | 1.11031i | ||||
\(693\) | 2.93906e16 | − | 2.93906e16i | 0.000382891 | − | 0.000382891i | ||||
\(694\) | 4.64442e19 | − | 1.54663e19i | 0.598984 | − | 0.199466i | ||||
\(695\) | −2.76776e19 | −0.353374 | ||||||||
\(696\) | 1.34729e20 | − | 2.43739e19i | 1.70293 | − | 0.308077i | ||||
\(697\) | 1.72306e20i | 2.15611i | ||||||||
\(698\) | 7.75538e19 | − | 2.58260e19i | 0.960760 | − | 0.319941i | ||||
\(699\) | 7.98147e19 | + | 7.98147e19i | 0.978909 | + | 0.978909i | ||||
\(700\) | −3.61195e19 | + | 2.70566e19i | −0.438587 | + | 0.328539i | ||||
\(701\) | 3.84319e19 | + | 3.84319e19i | 0.462026 | + | 0.462026i | 0.899319 | − | 0.437293i | \(-0.144063\pi\) |
−0.437293 | + | 0.899319i | \(0.644063\pi\) | |||||||
\(702\) | −5.42048e19 | − | 2.71222e19i | −0.645176 | − | 0.322824i | ||||
\(703\) | − | 5.45841e19i | − | 0.643249i | ||||||
\(704\) | −9.32503e16 | − | 4.24789e16i | −0.00108803 | − | 0.000495638i | ||||
\(705\) | 3.81995e19 | 0.441300 | ||||||||
\(706\) | 1.90830e19 | − | 3.81381e19i | 0.218280 | − | 0.436241i | ||||
\(707\) | −7.02246e19 | + | 7.02246e19i | −0.795341 | + | 0.795341i | ||||
\(708\) | 5.95945e19 | + | 7.95564e19i | 0.668303 | + | 0.892159i | ||||
\(709\) | 8.12863e19 | − | 8.12863e19i | 0.902597 | − | 0.902597i | −0.0930634 | − | 0.995660i | \(-0.529666\pi\) |
0.995660 | + | 0.0930634i | \(0.0296659\pi\) | |||||||
\(710\) | −2.87365e19 | − | 8.62939e19i | −0.315956 | − | 0.948793i | ||||
\(711\) | −2.51785e19 | −0.274121 | ||||||||
\(712\) | 8.97000e18 | + | 4.95825e19i | 0.0967014 | + | 0.534526i | ||||
\(713\) | − | 3.62813e18i | − | 0.0387308i | ||||||
\(714\) | −5.95389e19 | − | 1.78791e20i | −0.629381 | − | 1.88999i | ||||
\(715\) | −5.95974e16 | − | 5.95974e16i | −0.000623857 | − | 0.000623857i | ||||
\(716\) | −1.04756e20 | − | 1.50277e19i | −1.08589 | − | 0.155776i | ||||
\(717\) | 6.07732e19 | + | 6.07732e19i | 0.623847 | + | 0.623847i | ||||
\(718\) | −4.82347e19 | + | 9.63987e19i | −0.490330 | + | 0.979942i | ||||
\(719\) | 2.26461e19i | 0.227977i | 0.993482 | + | 0.113989i | \(0.0363628\pi\) | ||||
−0.993482 | + | 0.113989i | \(0.963637\pi\) | |||||||
\(720\) | 2.72727e19 | − | 1.49144e19i | 0.271894 | − | 0.148689i | ||||
\(721\) | −6.74063e19 | −0.665509 | ||||||||
\(722\) | 3.17384e19 | + | 1.58808e19i | 0.310330 | + | 0.155279i | ||||
\(723\) | 1.33125e20 | − | 1.33125e20i | 1.28912 | − | 1.28912i | ||||
\(724\) | 1.27494e20 | + | 1.82897e19i | 1.22270 | + | 0.175403i | ||||
\(725\) | −6.10384e19 | + | 6.10384e19i | −0.579745 | + | 0.579745i | ||||
\(726\) | 1.22521e20 | − | 4.08004e19i | 1.15253 | − | 0.383803i | ||||
\(727\) | 1.21868e20 | 1.13540 | 0.567701 | − | 0.823235i | \(-0.307833\pi\) | ||||
0.567701 | + | 0.823235i | \(0.307833\pi\) | |||||||
\(728\) | 9.60348e19 | + | 6.66105e19i | 0.886153 | + | 0.614643i | ||||
\(729\) | 1.96397e19i | 0.179491i | ||||||||
\(730\) | 8.06360e18 | − | 2.68524e18i | 0.0729910 | − | 0.0243066i | ||||
\(731\) | 2.17781e19 | + | 2.17781e19i | 0.195253 | + | 0.195253i | ||||
\(732\) | −1.16278e20 | − | 1.55227e20i | −1.03257 | − | 1.37844i | ||||
\(733\) | −1.24004e20 | − | 1.24004e20i | −1.09070 | − | 1.09070i | −0.995453 | − | 0.0952505i | \(-0.969635\pi\) |
−0.0952505 | − | 0.995453i | \(-0.530365\pi\) | |||||||
\(734\) | −9.51081e19 | − | 4.75889e19i | −0.828600 | − | 0.414603i | ||||
\(735\) | − | 8.56112e18i | − | 0.0738787i | ||||||
\(736\) | −7.38347e18 | − | 6.86335e18i | −0.0631126 | − | 0.0586667i | ||||
\(737\) | 1.06314e17 | 0.000900160 | ||||||||
\(738\) | 3.17712e19 | − | 6.34958e19i | 0.266464 | − | 0.532538i | ||||
\(739\) | −4.92659e18 | + | 4.92659e18i | −0.0409294 | + | 0.0409294i | −0.727275 | − | 0.686346i | \(-0.759214\pi\) |
0.686346 | + | 0.727275i | \(0.259214\pi\) | |||||||
\(740\) | −5.04385e19 | + | 3.77827e19i | −0.415088 | + | 0.310936i | ||||
\(741\) | −9.64352e19 | + | 9.64352e19i | −0.786155 | + | 0.786155i | ||||
\(742\) | −4.74062e19 | − | 1.42358e20i | −0.382832 | − | 1.14962i | ||||
\(743\) | 1.86158e20 | 1.48922 | 0.744610 | − | 0.667499i | \(-0.232635\pi\) | ||||
0.744610 | + | 0.667499i | \(0.232635\pi\) | |||||||
\(744\) | 5.66134e19 | + | 3.92675e19i | 0.448651 | + | 0.311188i | ||||
\(745\) | 3.09710e19i | 0.243143i | ||||||||
\(746\) | 7.06905e18 | + | 2.12279e19i | 0.0549781 | + | 0.165095i | ||||
\(747\) | 7.89357e19 | + | 7.89357e19i | 0.608176 | + | 0.608176i | ||||
\(748\) | −3.83067e16 | + | 2.67030e17i | −0.000292391 | + | 0.00203821i | ||||
\(749\) | −1.35431e20 | − | 1.35431e20i | −1.02410 | − | 1.02410i | ||||
\(750\) | −7.44806e19 | + | 1.48852e20i | −0.557975 | + | 1.11513i | ||||
\(751\) | − | 2.11244e20i | − | 1.56785i | −0.620856 | − | 0.783925i | \(-0.713215\pi\) | ||
0.620856 | − | 0.783925i | \(-0.286785\pi\) | |||||||
\(752\) | 7.27710e19 | + | 2.13174e19i | 0.535098 | + | 0.156751i | ||||
\(753\) | 1.80701e20 | 1.31642 | ||||||||
\(754\) | 1.99921e20 | + | 1.00034e20i | 1.44297 | + | 0.722016i | ||||
\(755\) | 6.28219e19 | − | 6.28219e19i | 0.449244 | − | 0.449244i | ||||
\(756\) | 1.21558e19 | − | 8.47359e19i | 0.0861252 | − | 0.600364i | ||||
\(757\) | −1.59048e19 | + | 1.59048e19i | −0.111649 | + | 0.111649i | −0.760724 | − | 0.649075i | \(-0.775156\pi\) |
0.649075 | + | 0.760724i | \(0.275156\pi\) | |||||||
\(758\) | −1.22732e20 | + | 4.08707e19i | −0.853637 | + | 0.284268i | ||||
\(759\) | −1.81601e16 | −0.000125149 | ||||||||
\(760\) | 1.37263e19 | + | 7.58732e19i | 0.0937253 | + | 0.518075i | ||||
\(761\) | 2.53916e20i | 1.71790i | 0.512059 | + | 0.858950i | \(0.328883\pi\) | ||||
−0.512059 | + | 0.858950i | \(0.671117\pi\) | |||||||
\(762\) | −2.97257e20 | + | 9.89889e19i | −1.99272 | + | 0.663593i | ||||
\(763\) | −1.04732e20 | − | 1.04732e20i | −0.695676 | − | 0.695676i | ||||
\(764\) | −5.59705e19 | + | 4.19267e19i | −0.368388 | + | 0.275954i | ||||
\(765\) | −5.78647e19 | − | 5.78647e19i | −0.377384 | − | 0.377384i | ||||
\(766\) | 1.88525e20 | + | 9.43314e19i | 1.21834 | + | 0.609614i | ||||
\(767\) | 1.62300e20i | 1.03932i | ||||||||
\(768\) | 1.87007e20 | − | 4.09293e19i | 1.18667 | − | 0.259720i | ||||
\(769\) | −1.26567e20 | −0.795861 | −0.397930 | − | 0.917416i | \(-0.630271\pi\) | ||||
−0.397930 | + | 0.917416i | \(0.630271\pi\) | |||||||
\(770\) | 5.32655e16 | − | 1.06453e17i | 0.000331903 | − | 0.000663320i | ||||
\(771\) | −8.10682e19 | + | 8.10682e19i | −0.500576 | + | 0.500576i | ||||
\(772\) | 1.99444e19 | + | 2.66250e19i | 0.122039 | + | 0.162918i | ||||
\(773\) | −1.02677e20 | + | 1.02677e20i | −0.622613 | + | 0.622613i | −0.946199 | − | 0.323586i | \(-0.895111\pi\) |
0.323586 | + | 0.946199i | \(0.395111\pi\) | |||||||
\(774\) | −4.00974e18 | − | 1.20410e19i | −0.0240951 | − | 0.0723560i | ||||
\(775\) | −4.34385e19 | −0.258680 | ||||||||
\(776\) | −3.08135e20 | + | 5.57449e19i | −1.81848 | + | 0.328983i | ||||
\(777\) | − | 1.57429e20i | − | 0.920741i | ||||||
\(778\) | 2.21765e19 | + | 6.65945e19i | 0.128539 | + | 0.385995i | ||||
\(779\) | 1.24534e20 | + | 1.24534e20i | 0.715362 | + | 0.715362i | ||||
\(780\) | 1.55863e20 | + | 2.23592e19i | 0.887318 | + | 0.127290i | ||||
\(781\) | −2.29988e17 | − | 2.29988e17i | −0.00129762 | − | 0.00129762i | ||||
\(782\) | −1.18754e19 | + | 2.37334e19i | −0.0664050 | + | 0.132713i | ||||
\(783\) | − | 1.63737e20i | − | 0.907435i | ||||||
\(784\) | 4.77757e18 | − | 1.63091e19i | 0.0262418 | − | 0.0895815i | ||||
\(785\) | 1.97156e19 | 0.107330 | ||||||||
\(786\) | −2.42500e20 | − | 1.21339e20i | −1.30844 | − | 0.654698i | ||||
\(787\) | −5.48210e19 | + | 5.48210e19i | −0.293173 | + | 0.293173i | −0.838332 | − | 0.545159i | \(-0.816469\pi\) |
0.545159 | + | 0.838332i | \(0.316469\pi\) | |||||||
\(788\) | 1.70781e20 | + | 2.44994e19i | 0.905226 | + | 0.129859i | ||||
\(789\) | 3.99667e19 | − | 3.99667e19i | 0.209971 | − | 0.209971i | ||||
\(790\) | −6.84143e19 | + | 2.27825e19i | −0.356252 | + | 0.118635i | ||||
\(791\) | 2.22339e20 | 1.14757 | ||||||||
\(792\) | 6.33532e16 | − | 9.13386e16i | 0.000324110 | − | 0.000467281i | ||||
\(793\) | − | 3.16672e20i | − | 1.60582i | ||||||
\(794\) | 1.12352e20 | − | 3.74139e19i | 0.564723 | − | 0.188057i | ||||
\(795\) | −1.42938e20 | − | 1.42938e20i | −0.712160 | − | 0.712160i | ||||
\(796\) | −1.20449e20 | − | 1.60795e20i | −0.594856 | − | 0.794110i | ||||
\(797\) | 1.17090e18 | + | 1.17090e18i | 0.00573206 | + | 0.00573206i | 0.709967 | − | 0.704235i | \(-0.248710\pi\) |
−0.704235 | + | 0.709967i | \(0.748710\pi\) | |||||||
\(798\) | −1.72253e20 | − | 8.61895e19i | −0.835884 | − | 0.418248i | ||||
\(799\) | − | 1.99628e20i | − | 0.960272i | ||||||
\(800\) | −8.21727e19 | + | 8.84000e19i | −0.391830 | + | 0.421524i | ||||
\(801\) | −5.46602e19 | −0.258371 | ||||||||
\(802\) | −1.49176e18 | + | 2.98134e18i | −0.00699004 | + | 0.0139698i | ||||
\(803\) | 2.14909e16 | − | 2.14909e16i | 9.98264e−5 | − | 9.98264e-5i | ||||
\(804\) | −1.58963e20 | + | 1.19077e20i | −0.731987 | + | 0.548320i | ||||
\(805\) | 8.28052e18 | − | 8.28052e18i | 0.0377995 | − | 0.0377995i | ||||
\(806\) | 3.55428e19 | + | 1.06733e20i | 0.160844 | + | 0.483005i | ||||
\(807\) | 1.20456e20 | 0.540397 | ||||||||
\(808\) | −1.51374e20 | + | 2.18241e20i | −0.673241 | + | 0.970636i | ||||
\(809\) | − | 3.17314e20i | − | 1.39910i | −0.714583 | − | 0.699551i | \(-0.753383\pi\) | ||
0.714583 | − | 0.699551i | \(-0.246617\pi\) | |||||||
\(810\) | −5.88370e19 | − | 1.76683e20i | −0.257191 | − | 0.772326i | ||||
\(811\) | −2.42290e20 | − | 2.42290e20i | −1.05000 | − | 1.05000i | −0.998682 | − | 0.0513171i | \(-0.983658\pi\) |
−0.0513171 | − | 0.998682i | \(-0.516342\pi\) | |||||||
\(812\) | −4.48336e19 | + | 3.12527e20i | −0.192624 | + | 1.34275i | ||||
\(813\) | 2.66654e20 | + | 2.66654e20i | 1.13583 | + | 1.13583i | ||||
\(814\) | −1.00845e17 | + | 2.01542e17i | −0.000425876 | + | 0.000851129i | ||||
\(815\) | 1.62094e20i | 0.678680i | ||||||||
\(816\) | −2.41808e20 | − | 4.42172e20i | −1.00378 | − | 1.83552i | ||||
\(817\) | 3.14801e19 | 0.129563 | ||||||||
\(818\) | 2.44374e20 | + | 1.22276e20i | 0.997198 | + | 0.498964i | ||||
\(819\) | −8.96507e19 | + | 8.96507e19i | −0.362716 | + | 0.362716i | ||||
\(820\) | 2.88742e19 | − | 2.01277e20i | 0.115828 | − | 0.807416i | ||||
\(821\) | 1.71273e20 | − | 1.71273e20i | 0.681219 | − | 0.681219i | −0.279056 | − | 0.960275i | \(-0.590022\pi\) |
0.960275 | + | 0.279056i | \(0.0900215\pi\) | |||||||
\(822\) | 4.58392e19 | − | 1.52648e19i | 0.180773 | − | 0.0601989i | ||||
\(823\) | −2.88193e20 | −1.12690 | −0.563450 | − | 0.826150i | \(-0.690526\pi\) | ||||
−0.563450 | + | 0.826150i | \(0.690526\pi\) | |||||||
\(824\) | −1.77391e20 | + | 3.20918e19i | −0.687765 | + | 0.124424i | ||||
\(825\) | 2.17425e17i | 0.000835858i | ||||||||
\(826\) | −2.17478e20 | + | 7.24219e19i | −0.829001 | + | 0.276064i | ||||
\(827\) | 1.12561e20 | + | 1.12561e20i | 0.425451 | + | 0.425451i | 0.887075 | − | 0.461625i | \(-0.152733\pi\) |
−0.461625 | + | 0.887075i | \(0.652733\pi\) | |||||||
\(828\) | 8.75230e18 | − | 6.55622e18i | 0.0328027 | − | 0.0245720i | ||||
\(829\) | 2.90242e20 | + | 2.90242e20i | 1.07865 | + | 1.07865i | 0.996631 | + | 0.0820142i | \(0.0261353\pi\) |
0.0820142 | + | 0.996631i | \(0.473865\pi\) | |||||||
\(830\) | 2.85906e20 | + | 1.43058e20i | 1.05360 | + | 0.527187i | ||||
\(831\) | 1.47705e20i | 0.539744i | ||||||||
\(832\) | 2.84444e20 | + | 1.29575e20i | 1.03070 | + | 0.469522i | ||||
\(833\) | −4.47398e19 | −0.160761 | ||||||||
\(834\) | 8.27415e19 | − | 1.65362e20i | 0.294823 | − | 0.589214i | ||||
\(835\) | 2.40466e20 | − | 2.40466e20i | 0.849665 | − | 0.849665i | ||||
\(836\) | 1.65309e17 | + | 2.20681e17i | 0.000579232 | + | 0.000773253i | ||||
\(837\) | 5.82625e19 | − | 5.82625e19i | 0.202447 | − | 0.202447i | ||||
\(838\) | 9.71519e19 | + | 2.91740e20i | 0.334767 | + | 1.00528i | ||||
\(839\) | 1.71495e19 | 0.0586027 | 0.0293014 | − | 0.999571i | \(-0.490672\pi\) | ||||
0.0293014 | + | 0.999571i | \(0.490672\pi\) | |||||||
\(840\) | 3.95886e19 | + | 2.18830e20i | 0.134158 | + | 0.741569i | ||||
\(841\) | 3.06346e20i | 1.02953i | ||||||||
\(842\) | −9.12328e19 | − | 2.73966e20i | −0.304065 | − | 0.913086i | ||||
\(843\) | 1.74302e20 | + | 1.74302e20i | 0.576114 | + | 0.576114i | ||||
\(844\) | 4.14863e20 | + | 5.95141e19i | 1.35990 | + | 0.195084i | ||||
\(845\) | 4.00767e19 | + | 4.00767e19i | 0.130285 | + | 0.130285i | ||||
\(846\) | −3.68090e19 | + | 7.35641e19i | −0.118676 | + | 0.237178i | ||||
\(847\) | 2.97786e20i | 0.952182i | ||||||||
\(848\) | −1.92533e20 | − | 3.52067e20i | −0.610568 | − | 1.11649i | ||||
\(849\) | 3.08217e20 | 0.969400 | ||||||||
\(850\) | 2.84153e20 | + | 1.42180e20i | 0.886378 | + | 0.443514i | ||||
\(851\) | −1.56771e19 | + | 1.56771e19i | −0.0485019 | + | 0.0485019i | ||||
\(852\) | 6.01477e20 | + | 8.62849e19i | 1.84562 | + | 0.264763i | ||||
\(853\) | −1.72753e19 | + | 1.72753e19i | −0.0525755 | + | 0.0525755i | −0.732906 | − | 0.680330i | \(-0.761836\pi\) |
0.680330 | + | 0.732906i | \(0.261836\pi\) | |||||||
\(854\) | 4.24334e20 | − | 1.41306e20i | 1.28086 | − | 0.426537i | ||||
\(855\) | −8.36432e19 | −0.250419 | ||||||||
\(856\) | −4.20885e20 | − | 2.91929e20i | −1.24982 | − | 0.866885i | ||||
\(857\) | − | 3.90773e20i | − | 1.15096i | −0.817817 | − | 0.575478i | \(-0.804816\pi\) | ||
0.817817 | − | 0.575478i | \(-0.195184\pi\) | |||||||
\(858\) | 5.34235e17 | − | 1.77905e17i | 0.00156071 | − | 0.000519728i | ||||
\(859\) | −3.57047e20 | − | 3.57047e20i | −1.03460 | − | 1.03460i | −0.999379 | − | 0.0352225i | \(-0.988786\pi\) |
−0.0352225 | − | 0.999379i | \(-0.511214\pi\) | |||||||
\(860\) | −2.17903e19 | − | 2.90892e19i | −0.0626288 | − | 0.0836071i | ||||
\(861\) | 3.59175e20 | + | 3.59175e20i | 1.02396 | + | 1.02396i | ||||
\(862\) | −8.42540e19 | − | 4.21578e19i | −0.238254 | − | 0.119214i | ||||
\(863\) | 4.19811e20i | 1.17755i | 0.808298 | + | 0.588773i | \(0.200389\pi\) | ||||
−0.808298 | + | 0.588773i | \(0.799611\pi\) | |||||||
\(864\) | −8.35247e18 | − | 2.28783e20i | −0.0232391 | − | 0.636544i | ||||
\(865\) | −2.64796e20 | −0.730802 | ||||||||
\(866\) | 1.03458e20 | − | 2.06765e20i | 0.283230 | − | 0.566046i | ||||
\(867\) | −6.21853e20 | + | 6.21853e20i | −1.68871 | + | 1.68871i | ||||
\(868\) | −1.27159e20 | + | 9.52532e19i | −0.342539 | + | 0.256591i | ||||
\(869\) | −1.82336e17 | + | 1.82336e17i | −0.000487229 | + | 0.000487229i | ||||
\(870\) | 1.34392e20 | + | 4.03571e20i | 0.356238 | + | 1.06976i | ||||
\(871\) | −3.24293e20 | −0.852729 | ||||||||
\(872\) | −3.25481e20 | − | 2.25756e20i | −0.849005 | − | 0.588877i | ||||
\(873\) | − | 3.39691e20i | − | 0.878990i | ||||||
\(874\) | 8.57036e18 | + | 2.57362e19i | 0.0219998 | + | 0.0660639i | ||||
\(875\) | −2.71404e20 | − | 2.71404e20i | −0.691131 | − | 0.691131i | ||||
\(876\) | −8.06276e18 | + | 5.62042e19i | −0.0203683 | + | 0.141984i | ||||
\(877\) | 1.77411e18 | + | 1.77411e18i | 0.00444615 | + | 0.00444615i | 0.709326 | − | 0.704880i | \(-0.248999\pi\) |
−0.704880 | + | 0.709326i | \(0.748999\pi\) | |||||||
\(878\) | 1.55801e19 | − | 3.11374e19i | 0.0387354 | − | 0.0774141i | ||||
\(879\) | − | 3.90927e19i | − | 0.0964214i | ||||||
\(880\) | 8.94949e16 | − | 3.05508e17i | 0.000218988 | − | 0.000747555i | ||||
\(881\) | −8.97990e19 | −0.217992 | −0.108996 | − | 0.994042i | \(-0.534764\pi\) | ||||
−0.108996 | + | 0.994042i | \(0.534764\pi\) | |||||||
\(882\) | 1.64869e19 | + | 8.24948e18i | 0.0397062 | + | 0.0198677i | ||||
\(883\) | −3.72896e20 | + | 3.72896e20i | −0.890969 | + | 0.890969i | −0.994614 | − | 0.103646i | \(-0.966949\pi\) |
0.103646 | + | 0.994614i | \(0.466949\pi\) | |||||||
\(884\) | 1.16848e20 | − | 8.14527e20i | 0.276984 | − | 1.93081i | ||||
\(885\) | −2.18365e20 | + | 2.18365e20i | −0.513546 | + | 0.513546i | ||||
\(886\) | 3.95346e19 | − | 1.31653e19i | 0.0922446 | − | 0.0307182i | ||||
\(887\) | 3.59536e20 | 0.832295 | 0.416148 | − | 0.909297i | \(-0.363380\pi\) | ||||
0.416148 | + | 0.909297i | \(0.363380\pi\) | |||||||
\(888\) | −7.49512e19 | − | 4.14300e20i | −0.172142 | − | 0.951533i | ||||
\(889\) | − | 7.22480e20i | − | 1.64632i | ||||||
\(890\) | −1.48521e20 | + | 4.94587e19i | −0.335783 | + | 0.111818i | ||||
\(891\) | −4.70891e17 | − | 4.70891e17i | −0.00105627 | − | 0.00105627i | ||||
\(892\) | 5.06256e20 | − | 3.79229e20i | 1.12672 | − | 0.844010i | ||||
\(893\) | −1.44281e20 | − | 1.44281e20i | −0.318602 | − | 0.318602i | ||||
\(894\) | −1.85039e20 | − | 9.25873e19i | −0.405416 | − | 0.202856i | ||||
\(895\) | − | 3.28779e20i | − | 0.714730i | ||||||
\(896\) | −4.67016e19 | + | 4.38968e20i | −0.100734 | + | 0.946840i | ||||
\(897\) | 5.53942e19 | 0.118554 | ||||||||
\(898\) | 8.79104e18 | − | 1.75692e19i | 0.0186684 | − | 0.0373094i | ||||
\(899\) | −2.14887e20 | + | 2.14887e20i | −0.452785 | + | 0.452785i | ||||
\(900\) | −7.84955e19 | − | 1.04789e20i | −0.164115 | − | 0.219087i | ||||
\(901\) | −7.46984e20 | + | 7.46984e20i | −1.54966 | + | 1.54966i | ||||
\(902\) | −2.29742e17 | − | 6.89898e17i | −0.000472927 | − | 0.00142017i | ||||
\(903\) | 9.07936e19 | 0.185456 | ||||||||
\(904\) | 5.85121e20 | − | 1.05855e20i | 1.18595 | − | 0.214551i | ||||
\(905\) | 4.00145e20i | 0.804781i | ||||||||
\(906\) | 1.87530e20 | + | 5.63140e20i | 0.374260 | + | 1.12388i | ||||
\(907\) | 1.84901e20 | + | 1.84901e20i | 0.366175 | + | 0.366175i | 0.866080 | − | 0.499905i | \(-0.166632\pi\) |
−0.499905 | + | 0.866080i | \(0.666632\pi\) | |||||||
\(908\) | −3.29320e20 | − | 4.72426e19i | −0.647169 | − | 0.0928395i | ||||
\(909\) | −2.03733e20 | − | 2.03733e20i | −0.397296 | − | 0.397296i | ||||
\(910\) | −1.62477e20 | + | 3.24716e20i | −0.314414 | + | 0.628368i | ||||
\(911\) | − | 1.42160e20i | − | 0.272991i | −0.990641 | − | 0.136496i | \(-0.956416\pi\) | ||
0.990641 | − | 0.136496i | \(-0.0435839\pi\) | |||||||
\(912\) | −4.94345e20 | − | 1.44813e20i | −0.942033 | − | 0.275958i | ||||
\(913\) | 1.14326e18 | 0.00216197 | ||||||||
\(914\) | −5.29540e20 | − | 2.64964e20i | −0.993747 | − | 0.497237i | ||||
\(915\) | 4.26064e20 | − | 4.26064e20i | 0.793463 | − | 0.793463i | ||||
\(916\) | −2.91981e20 | − | 4.18861e19i | −0.539618 | − | 0.0774109i | ||||
\(917\) | 4.42153e20 | − | 4.42153e20i | 0.810936 | − | 0.810936i | ||||
\(918\) | −5.71826e20 | + | 1.90422e20i | −1.04079 | + | 0.346593i | ||||
\(919\) | 7.79669e20 | 1.40832 | 0.704160 | − | 0.710041i | \(-0.251324\pi\) | ||||
0.704160 | + | 0.710041i | \(0.251324\pi\) | |||||||
\(920\) | 1.78492e19 | − | 2.57338e19i | 0.0319966 | − | 0.0461306i | ||||
\(921\) | 3.33982e20i | 0.594163i | ||||||||
\(922\) | 2.02905e20 | − | 6.75689e19i | 0.358242 | − | 0.119297i | ||||
\(923\) | 7.01537e20 | + | 7.01537e20i | 1.22925 | + | 1.22925i | ||||
\(924\) | 4.76777e17 | + | 6.36479e17i | 0.000829108 | + | 0.00110683i | ||||
\(925\) | 1.87697e20 | + | 1.87697e20i | 0.323940 | + | 0.323940i | ||||
\(926\) | 2.63171e20 | + | 1.31682e20i | 0.450777 | + | 0.225553i | ||||
\(927\) | − | 1.95557e20i | − | 0.332441i | ||||||
\(928\) | 3.08060e19 | + | 8.43810e20i | 0.0519756 | + | 1.42367i | ||||
\(929\) | 1.10552e20 | 0.185121 | 0.0925606 | − | 0.995707i | \(-0.470495\pi\) | ||||
0.0925606 | + | 0.995707i | \(0.470495\pi\) | |||||||
\(930\) | −9.57817e19 | + | 1.91423e20i | −0.159185 | + | 0.318137i | ||||
\(931\) | −3.23356e19 | + | 3.23356e19i | −0.0533376 | + | 0.0533376i | ||||
\(932\) | −5.57133e20 | + | 4.17340e20i | −0.912110 | + | 0.683248i | ||||
\(933\) | 1.46000e20 | − | 1.46000e20i | 0.237236 | − | 0.237236i | ||||
\(934\) | 4.10641e19 | + | 1.23313e20i | 0.0662268 | + | 0.198874i | ||||
\(935\) | −8.38081e17 | −0.00134154 | ||||||||
\(936\) | −1.93248e20 | + | 2.78612e20i | −0.307032 | + | 0.442659i | ||||
\(937\) | − | 1.76879e18i | − | 0.00278932i | −0.999999 | − | 0.00139466i | \(-0.999556\pi\) | ||
0.999999 | − | 0.00139466i | \(-0.000443935\pi\) | |||||||
\(938\) | −1.44707e20 | − | 4.34546e20i | −0.226501 | − | 0.680168i | ||||
\(939\) | −9.14244e20 | − | 9.14244e20i | −1.42037 | − | 1.42037i | ||||
\(940\) | −3.34527e19 | + | 2.33193e20i | −0.0515865 | + | 0.359601i | ||||
\(941\) | −6.75283e20 | − | 6.75283e20i | −1.03361 | − | 1.03361i | −0.999415 | − | 0.0341996i | \(-0.989112\pi\) |
−0.0341996 | − | 0.999415i | \(-0.510888\pi\) | |||||||
\(942\) | −5.89393e19 | + | 1.17792e20i | −0.0895465 | + | 0.178962i | ||||
\(943\) | − | 7.15348e19i | − | 0.107879i | ||||||
\(944\) | −5.37849e20 | + | 2.94130e20i | −0.805112 | + | 0.440287i | ||||
\(945\) | 2.65946e20 | 0.395158 | ||||||||
\(946\) | −1.16235e17 | − | 5.81600e16i | −0.000171435 | − | 8.57801e-5i | ||||
\(947\) | −1.08338e20 | + | 1.08338e20i | −0.158609 | + | 0.158609i | −0.781950 | − | 0.623341i | \(-0.785775\pi\) |
0.623341 | + | 0.781950i | \(0.285775\pi\) | |||||||
\(948\) | 6.84072e19 | − | 4.76855e20i | 0.0994130 | − | 0.692991i | ||||
\(949\) | −6.55541e19 | + | 6.55541e19i | −0.0945663 | + | 0.0945663i | ||||
\(950\) | 3.08131e20 | − | 1.02610e20i | 0.441236 | − | 0.146935i | ||||
\(951\) | 1.17069e21 | 1.66410 | ||||||||
\(952\) | 1.14359e21 | − | 2.06887e20i | 1.61366 | − | 0.291928i | ||||
\(953\) | − | 7.46400e20i | − | 1.04549i | −0.852488 | − | 0.522747i | \(-0.824907\pi\) | ||
0.852488 | − | 0.522747i | \(-0.175093\pi\) | |||||||
\(954\) | 4.13003e20 | − | 1.37533e20i | 0.574267 | − | 0.191236i | ||||
\(955\) | −1.53627e20 | − | 1.53627e20i | −0.212052 | − | 0.212052i | ||||
\(956\) | −4.24217e20 | + | 3.17775e20i | −0.581276 | + | 0.435426i | ||||
\(957\) | 1.07559e18 | + | 1.07559e18i | 0.00146306 | + | 0.00146306i | ||||
\(958\) | −1.01865e20 | − | 5.09696e19i | −0.137551 | − | 0.0688260i | ||||
\(959\) | 1.11412e20i | 0.149348i | ||||||||
\(960\) | 2.08368e20 | + | 5.57038e20i | 0.277288 | + | 0.741286i | ||||
\(961\) | 6.04018e20 | 0.797969 | ||||||||
\(962\) | 3.07610e20 | − | 6.14769e20i | 0.403436 | − | 0.806282i | ||||
\(963\) | 3.92906e20 | − | 3.92906e20i | 0.511570 | − | 0.511570i | ||||
\(964\) | 6.96093e20 | + | 9.29258e20i | 0.899763 | + | 1.20115i | ||||
\(965\) | −7.30796e19 | + | 7.30796e19i | −0.0937789 | + | 0.0937789i | ||||
\(966\) | 2.47182e19 | + | 7.42271e19i | 0.0314903 | + | 0.0945633i | ||||
\(967\) | −7.66548e20 | −0.969514 | −0.484757 | − | 0.874649i | \(-0.661092\pi\) | ||||
−0.484757 | + | 0.874649i | \(0.661092\pi\) | |||||||
\(968\) | 1.41774e20 | + | 7.83671e20i | 0.178021 | + | 0.984025i | ||||
\(969\) | 1.35611e21i | 1.69055i | ||||||||
\(970\) | −3.07366e20 | − | 9.22999e20i | −0.380412 | − | 1.14235i | ||||
\(971\) | 2.17604e20 | + | 2.17604e20i | 0.267382 | + | 0.267382i | 0.828044 | − | 0.560663i | \(-0.189454\pi\) |
−0.560663 | + | 0.828044i | \(0.689454\pi\) | |||||||
\(972\) | 7.14660e20 | + | 1.02521e20i | 0.871837 | + | 0.125069i | ||||
\(973\) | 3.01507e20 | + | 3.01507e20i | 0.365180 | + | 0.365180i | ||||
\(974\) | 2.80031e20 | − | 5.59653e20i | 0.336739 | − | 0.672986i | ||||
\(975\) | − | 6.63218e20i | − | 0.791815i | ||||||
\(976\) | 1.04943e21 | − | 5.73894e20i | 1.24395 | − | 0.680272i | ||||
\(977\) | 9.84047e19 | 0.115812 | 0.0579061 | − | 0.998322i | \(-0.481558\pi\) | ||||
0.0579061 | + | 0.998322i | \(0.481558\pi\) | |||||||
\(978\) | −9.68447e20 | − | 4.84578e20i | −1.13163 | − | 0.566229i | ||||
\(979\) | −3.95834e17 | + | 3.95834e17i | −0.000459235 | + | 0.000459235i | ||||
\(980\) | 5.22622e19 | + | 7.49727e18i | 0.0602012 | + | 0.00863616i | ||||
\(981\) | 3.03844e20 | − | 3.03844e20i | 0.347510 | − | 0.347510i | ||||
\(982\) | −1.62558e21 | + | 5.41330e20i | −1.84598 | + | 0.614726i | ||||
\(983\) | −2.24075e20 | −0.252650 | −0.126325 | − | 0.991989i | \(-0.540318\pi\) | ||||
−0.126325 | + | 0.991989i | \(0.540318\pi\) | |||||||
\(984\) | 1.11623e21 | + | 7.74225e20i | 1.24965 | + | 0.866766i | ||||
\(985\) | 5.36003e20i | 0.595817i | ||||||||
\(986\) | 2.10904e21 | − | 7.02326e20i | 2.32780 | − | 0.775176i | ||||
\(987\) | −4.16128e20 | − | 4.16128e20i | −0.456044 | − | 0.456044i | ||||
\(988\) | −5.04246e20 | − | 6.73150e20i | −0.548712 | − | 0.732509i | ||||
\(989\) | −9.04140e18 | − | 9.04140e18i | −0.00976926 | − | 0.00976926i | ||||
\(990\) | 3.08838e17 | + | 1.54532e17i | 0.000331348 | + | 0.000165795i | ||||
\(991\) | − | 1.49211e21i | − | 1.58959i | −0.606876 | − | 0.794796i | \(-0.707578\pi\) | ||
0.606876 | − | 0.794796i | \(-0.292422\pi\) | |||||||
\(992\) | −2.89291e20 | + | 3.11214e20i | −0.306022 | + | 0.329213i | ||||
\(993\) | −1.00203e21 | −1.05253 | ||||||||
\(994\) | −6.27003e20 | + | 1.25309e21i | −0.653981 | + | 1.30700i | ||||
\(995\) | 4.41346e20 | − | 4.41346e20i | 0.457107 | − | 0.457107i | ||||
\(996\) | −1.70942e21 | + | 1.28050e21i | −1.75806 | + | 1.31694i | ||||
\(997\) | 8.09179e20 | − | 8.09179e20i | 0.826378 | − | 0.826378i | −0.160636 | − | 0.987014i | \(-0.551355\pi\) |
0.987014 | + | 0.160636i | \(0.0513545\pi\) | |||||||
\(998\) | −4.23559e20 | − | 1.27192e21i | −0.429537 | − | 1.28987i | ||||
\(999\) | −5.03503e20 | −0.507042 |
(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 | 16.15.f.a.3.18 | ✓ | 54 | |
4.3 | odd | 2 | 64.15.f.a.47.22 | 54 | |||
16.5 | even | 4 | 64.15.f.a.15.22 | 54 | |||
16.11 | odd | 4 | inner | 16.15.f.a.11.18 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.15.f.a.3.18 | ✓ | 54 | 1.1 | even | 1 | trivial | |
16.15.f.a.11.18 | yes | 54 | 16.11 | odd | 4 | inner | |
64.15.f.a.15.22 | 54 | 16.5 | even | 4 | |||
64.15.f.a.47.22 | 54 | 4.3 | odd | 2 |