Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,12,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.22011816672\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 247 x^{18} - 23916 x^{16} + 14713536 x^{14} - 45723119616 x^{12} + 40864324780032 x^{10} + \cdots + 12\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{104}\cdot 3^{42}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(-20.8511 + 8.78821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.12.b.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −41.7022 | + | 17.5764i | −0.921496 | + | 0.388388i | ||||
\(3\) | 364.303 | + | 210.784i | 0.865558 | + | 0.500808i | ||||
\(4\) | 1430.14 | − | 1465.95i | 0.698310 | − | 0.715795i | ||||
\(5\) | 505.366i | 0.0723221i | 0.999346 | + | 0.0361611i | \(0.0115129\pi\) | ||||
−0.999346 | + | 0.0361611i | \(0.988487\pi\) | |||||||
\(6\) | −18897.1 | − | 2387.01i | −0.992116 | − | 0.125321i | ||||
\(7\) | − | 77554.9i | − | 1.74409i | −0.489422 | − | 0.872047i | \(-0.662792\pi\) | ||
0.489422 | − | 0.872047i | \(-0.337208\pi\) | |||||||
\(8\) | −33873.8 | + | 86269.9i | −0.365484 | + | 0.930818i | ||||
\(9\) | 88286.9 | + | 153579.i | 0.498382 | + | 0.866957i | ||||
\(10\) | −8882.52 | − | 21074.9i | −0.0280890 | − | 0.0666446i | ||||
\(11\) | 731355. | 1.36921 | 0.684603 | − | 0.728916i | \(-0.259976\pi\) | ||||
0.684603 | + | 0.728916i | \(0.259976\pi\) | |||||||
\(12\) | 830004. | − | 232599.i | 0.962904 | − | 0.269843i | ||||
\(13\) | 1.14210e6 | 0.853131 | 0.426566 | − | 0.904457i | \(-0.359723\pi\) | ||||
0.426566 | + | 0.904457i | \(0.359723\pi\) | |||||||
\(14\) | 1.36314e6 | + | 3.23421e6i | 0.677385 | + | 1.60718i | ||||
\(15\) | −106523. | + | 184107.i | −0.0362195 | + | 0.0625990i | ||||
\(16\) | −103706. | − | 4.19302e6i | −0.0247256 | − | 0.999694i | ||||
\(17\) | 3.04203e6i | 0.519630i | 0.965658 | + | 0.259815i | \(0.0836615\pi\) | ||||
−0.965658 | + | 0.259815i | \(0.916338\pi\) | |||||||
\(18\) | −6.38112e6 | − | 4.85280e6i | −0.795973 | − | 0.605332i | ||||
\(19\) | 4.99643e6i | 0.462930i | 0.972843 | + | 0.231465i | \(0.0743519\pi\) | ||||
−0.972843 | + | 0.231465i | \(0.925648\pi\) | |||||||
\(20\) | 740841. | + | 722744.i | 0.0517678 | + | 0.0505033i | ||||
\(21\) | 1.63474e7 | − | 2.82535e7i | 0.873457 | − | 1.50962i | ||||
\(22\) | −3.04991e7 | + | 1.28546e7i | −1.26172 | + | 0.531782i | ||||
\(23\) | 5.14282e6 | 0.166609 | 0.0833044 | − | 0.996524i | \(-0.473453\pi\) | ||||
0.0833044 | + | 0.996524i | \(0.473453\pi\) | |||||||
\(24\) | −3.05247e7 | + | 2.42884e7i | −0.782509 | + | 0.622639i | ||||
\(25\) | 4.85727e7 | 0.994770 | ||||||||
\(26\) | −4.76280e7 | + | 2.00740e7i | −0.786157 | + | 0.331346i | ||||
\(27\) | −208788. | + | 7.45588e7i | −0.00280031 | + | 0.999996i | ||||
\(28\) | −1.13692e8 | − | 1.10914e8i | −1.24841 | − | 1.21792i | ||||
\(29\) | − | 1.44501e8i | − | 1.30822i | −0.756398 | − | 0.654112i | \(-0.773043\pi\) | ||
0.756398 | − | 0.654112i | \(-0.226957\pi\) | |||||||
\(30\) | 1.20632e6 | − | 9.54994e6i | 0.00906346 | − | 0.0717520i | ||||
\(31\) | − | 2.51898e7i | − | 0.158028i | −0.996873 | − | 0.0790142i | \(-0.974823\pi\) | ||
0.996873 | − | 0.0790142i | \(-0.0251773\pi\) | |||||||
\(32\) | 7.80231e7 | + | 1.73035e8i | 0.411053 | + | 0.911611i | ||||
\(33\) | 2.66435e8 | + | 1.54158e8i | 1.18513 | + | 0.685709i | ||||
\(34\) | −5.34679e7 | − | 1.26859e8i | −0.201818 | − | 0.478837i | ||||
\(35\) | 3.91936e7 | 0.126137 | ||||||||
\(36\) | 3.51401e8 | + | 9.02151e7i | 0.968589 | + | 0.248665i | ||||
\(37\) | −1.69193e8 | −0.401118 | −0.200559 | − | 0.979682i | \(-0.564276\pi\) | ||||
−0.200559 | + | 0.979682i | \(0.564276\pi\) | |||||||
\(38\) | −8.78194e7 | − | 2.08362e8i | −0.179796 | − | 0.426588i | ||||
\(39\) | 4.16071e8 | + | 2.40737e8i | 0.738435 | + | 0.427255i | ||||
\(40\) | −4.35979e7 | − | 1.71187e7i | −0.0673187 | − | 0.0264326i | ||||
\(41\) | 3.25800e8i | 0.439177i | 0.975593 | + | 0.219589i | \(0.0704715\pi\) | ||||
−0.975593 | + | 0.219589i | \(0.929528\pi\) | |||||||
\(42\) | −1.85125e8 | + | 1.46556e9i | −0.218571 | + | 1.73034i | ||||
\(43\) | − | 1.17931e9i | − | 1.22335i | −0.791108 | − | 0.611677i | \(-0.790495\pi\) | ||
0.791108 | − | 0.611677i | \(-0.209505\pi\) | |||||||
\(44\) | 1.04594e9 | − | 1.07213e9i | 0.956130 | − | 0.980071i | ||||
\(45\) | −7.76136e7 | + | 4.46172e7i | −0.0627002 | + | 0.0360441i | ||||
\(46\) | −2.14467e8 | + | 9.03923e7i | −0.153529 | + | 0.0647088i | ||||
\(47\) | −1.82705e9 | −1.16202 | −0.581009 | − | 0.813897i | \(-0.697342\pi\) | ||||
−0.581009 | + | 0.813897i | \(0.697342\pi\) | |||||||
\(48\) | 8.46043e8 | − | 1.54939e9i | 0.479254 | − | 0.877676i | ||||
\(49\) | −4.03744e9 | −2.04187 | ||||||||
\(50\) | −2.02559e9 | + | 8.53734e8i | −0.916676 | + | 0.386356i | ||||
\(51\) | −6.41211e8 | + | 1.10822e9i | −0.260235 | + | 0.449770i | ||||
\(52\) | 1.63336e9 | − | 1.67426e9i | 0.595750 | − | 0.610667i | ||||
\(53\) | − | 5.85339e7i | − | 0.0192260i | −0.999954 | − | 0.00961302i | \(-0.996940\pi\) | ||
0.999954 | − | 0.00961302i | \(-0.00305997\pi\) | |||||||
\(54\) | −1.30177e9 | − | 3.11293e9i | −0.385806 | − | 0.922580i | ||||
\(55\) | 3.69602e8i | 0.0990238i | ||||||||
\(56\) | 6.69066e9 | + | 2.62708e9i | 1.62343 | + | 0.637439i | ||||
\(57\) | −1.05317e9 | + | 1.82022e9i | −0.231839 | + | 0.400693i | ||||
\(58\) | 2.53981e9 | + | 6.02601e9i | 0.508098 | + | 1.20552i | ||||
\(59\) | −5.59090e8 | −0.101811 | −0.0509056 | − | 0.998703i | \(-0.516211\pi\) | ||||
−0.0509056 | + | 0.998703i | \(0.516211\pi\) | |||||||
\(60\) | 1.17548e8 | + | 4.19456e8i | 0.0195156 | + | 0.0696393i | ||||
\(61\) | 8.08270e9 | 1.22530 | 0.612650 | − | 0.790354i | \(-0.290103\pi\) | ||||
0.612650 | + | 0.790354i | \(0.290103\pi\) | |||||||
\(62\) | 4.42746e8 | + | 1.05047e9i | 0.0613763 | + | 0.145623i | ||||
\(63\) | 1.19108e10 | − | 6.84709e9i | 1.51206 | − | 0.869226i | ||||
\(64\) | −6.29507e9 | − | 5.84458e9i | −0.732842 | − | 0.680398i | ||||
\(65\) | 5.77179e8i | 0.0617003i | ||||||||
\(66\) | −1.38205e10 | − | 1.74575e9i | −1.35841 | − | 0.171590i | ||||
\(67\) | 2.71710e9i | 0.245864i | 0.992415 | + | 0.122932i | \(0.0392297\pi\) | ||||
−0.992415 | + | 0.122932i | \(0.960770\pi\) | |||||||
\(68\) | 4.45945e9 | + | 4.35052e9i | 0.371948 | + | 0.362863i | ||||
\(69\) | 1.87355e9 | + | 1.08403e9i | 0.144210 | + | 0.0834391i | ||||
\(70\) | −1.63446e9 | + | 6.88883e8i | −0.116234 | + | 0.0489899i | ||||
\(71\) | −1.89778e10 | −1.24832 | −0.624160 | − | 0.781296i | \(-0.714559\pi\) | ||||
−0.624160 | + | 0.781296i | \(0.714559\pi\) | |||||||
\(72\) | −1.62399e10 | + | 2.41421e9i | −0.989130 | + | 0.147044i | ||||
\(73\) | 1.88173e10 | 1.06238 | 0.531192 | − | 0.847252i | \(-0.321744\pi\) | ||||
0.531192 | + | 0.847252i | \(0.321744\pi\) | |||||||
\(74\) | 7.05570e9 | − | 2.97380e9i | 0.369628 | − | 0.155789i | ||||
\(75\) | 1.76952e10 | + | 1.02384e10i | 0.861031 | + | 0.498189i | ||||
\(76\) | 7.32451e9 | + | 7.14560e9i | 0.331363 | + | 0.323269i | ||||
\(77\) | − | 5.67202e10i | − | 2.38802i | ||||||
\(78\) | −2.15823e10 | − | 2.72621e9i | −0.846405 | − | 0.106915i | ||||
\(79\) | 4.26966e10i | 1.56115i | 0.625064 | + | 0.780574i | \(0.285073\pi\) | ||||
−0.625064 | + | 0.780574i | \(0.714927\pi\) | |||||||
\(80\) | 2.11901e9 | − | 5.24098e7i | 0.0723000 | − | 0.00178820i | ||||
\(81\) | −1.57919e10 | + | 2.71180e10i | −0.503230 | + | 0.864152i | ||||
\(82\) | −5.72640e9 | − | 1.35866e10i | −0.170571 | − | 0.404700i | ||||
\(83\) | −3.76005e10 | −1.04777 | −0.523883 | − | 0.851790i | \(-0.675517\pi\) | ||||
−0.523883 | + | 0.851790i | \(0.675517\pi\) | |||||||
\(84\) | −1.80392e10 | − | 6.43709e10i | −0.470632 | − | 1.67940i | ||||
\(85\) | −1.53734e9 | −0.0375807 | ||||||||
\(86\) | 2.07281e10 | + | 4.91798e10i | 0.475135 | + | 1.12732i | ||||
\(87\) | 3.04586e10 | − | 5.26422e10i | 0.655169 | − | 1.13234i | ||||
\(88\) | −2.47738e10 | + | 6.30940e10i | −0.500423 | + | 1.27448i | ||||
\(89\) | 5.79261e10i | 1.09959i | 0.835301 | + | 0.549794i | \(0.185294\pi\) | ||||
−0.835301 | + | 0.549794i | \(0.814706\pi\) | |||||||
\(90\) | 2.45244e9 | − | 3.22480e9i | 0.0437789 | − | 0.0575664i | ||||
\(91\) | − | 8.85755e10i | − | 1.48794i | ||||||
\(92\) | 7.35495e9 | − | 7.53911e9i | 0.116345 | − | 0.119258i | ||||
\(93\) | 5.30961e9 | − | 9.17673e9i | 0.0791419 | − | 0.136783i | ||||
\(94\) | 7.61920e10 | − | 3.21130e10i | 1.07079 | − | 0.451313i | ||||
\(95\) | −2.52503e9 | −0.0334801 | ||||||||
\(96\) | −8.04905e9 | + | 7.94834e10i | −0.100752 | + | 0.994912i | ||||
\(97\) | −9.56525e10 | −1.13097 | −0.565486 | − | 0.824758i | \(-0.691311\pi\) | ||||
−0.565486 | + | 0.824758i | \(0.691311\pi\) | |||||||
\(98\) | 1.68370e11 | − | 7.09637e10i | 1.88157 | − | 0.793035i | ||||
\(99\) | 6.45691e10 | + | 1.12321e11i | 0.682388 | + | 1.18704i | ||||
\(100\) | 6.94658e10 | − | 7.12051e10i | 0.694658 | − | 0.712051i | ||||
\(101\) | 1.13327e11i | 1.07292i | 0.843927 | + | 0.536458i | \(0.180238\pi\) | ||||
−0.843927 | + | 0.536458i | \(0.819762\pi\) | |||||||
\(102\) | 7.26136e9 | − | 5.74854e10i | 0.0651204 | − | 0.515533i | ||||
\(103\) | − | 2.45239e10i | − | 0.208442i | −0.994554 | − | 0.104221i | \(-0.966765\pi\) | ||
0.994554 | − | 0.104221i | \(-0.0332349\pi\) | |||||||
\(104\) | −3.86873e10 | + | 9.85289e10i | −0.311806 | + | 0.794109i | ||||
\(105\) | 1.42784e10 | + | 8.26140e9i | 0.109179 | + | 0.0631702i | ||||
\(106\) | 1.02882e9 | + | 2.44099e9i | 0.00746716 | + | 0.0177167i | ||||
\(107\) | −1.56226e11 | −1.07682 | −0.538409 | − | 0.842684i | \(-0.680974\pi\) | ||||
−0.538409 | + | 0.842684i | \(0.680974\pi\) | |||||||
\(108\) | 1.09001e11 | + | 1.06936e11i | 0.713837 | + | 0.700312i | ||||
\(109\) | −1.15285e11 | −0.717677 | −0.358838 | − | 0.933400i | \(-0.616827\pi\) | ||||
−0.358838 | + | 0.933400i | \(0.616827\pi\) | |||||||
\(110\) | −6.49628e9 | − | 1.54132e10i | −0.0384596 | − | 0.0912501i | ||||
\(111\) | −6.16374e10 | − | 3.56631e10i | −0.347191 | − | 0.200883i | ||||
\(112\) | −3.25189e11 | + | 8.04295e9i | −1.74356 | + | 0.0431237i | ||||
\(113\) | − | 3.80801e11i | − | 1.94432i | −0.234326 | − | 0.972158i | \(-0.575288\pi\) | ||
0.234326 | − | 0.972158i | \(-0.424712\pi\) | |||||||
\(114\) | 1.19266e10 | − | 9.44179e10i | 0.0580147 | − | 0.459280i | ||||
\(115\) | 2.59901e9i | 0.0120495i | ||||||||
\(116\) | −2.11831e11 | − | 2.06657e11i | −0.936420 | − | 0.913546i | ||||
\(117\) | 1.00833e11 | + | 1.75403e11i | 0.425186 | + | 0.739628i | ||||
\(118\) | 2.33153e10 | − | 9.82680e9i | 0.0938187 | − | 0.0395422i | ||||
\(119\) | 2.35924e11 | 0.906283 | ||||||||
\(120\) | −1.22745e10 | − | 1.54261e10i | −0.0450306 | − | 0.0565927i | ||||
\(121\) | 2.49569e11 | 0.874724 | ||||||||
\(122\) | −3.37066e11 | + | 1.42065e11i | −1.12911 | + | 0.475891i | ||||
\(123\) | −6.86735e10 | + | 1.18690e11i | −0.219944 | + | 0.380134i | ||||
\(124\) | −3.69269e10 | − | 3.60249e10i | −0.113116 | − | 0.110353i | ||||
\(125\) | 4.92231e10i | 0.144266i | ||||||||
\(126\) | −3.76359e11 | + | 4.94887e11i | −1.05576 | + | 1.38825i | ||||
\(127\) | 4.62478e10i | 0.124214i | 0.998069 | + | 0.0621070i | \(0.0197820\pi\) | ||||
−0.998069 | + | 0.0621070i | \(0.980218\pi\) | |||||||
\(128\) | 3.65245e11 | + | 1.33087e11i | 0.939570 | + | 0.342358i | ||||
\(129\) | 2.48580e11 | − | 4.29627e11i | 0.612666 | − | 1.05888i | ||||
\(130\) | −1.01447e10 | − | 2.40696e10i | −0.0239636 | − | 0.0568565i | ||||
\(131\) | 2.16097e11 | 0.489392 | 0.244696 | − | 0.969600i | \(-0.421312\pi\) | ||||
0.244696 | + | 0.969600i | \(0.421312\pi\) | |||||||
\(132\) | 6.07028e11 | − | 1.70113e11i | 1.31841 | − | 0.369471i | ||||
\(133\) | 3.87498e11 | 0.807394 | ||||||||
\(134\) | −4.77569e10 | − | 1.13309e11i | −0.0954905 | − | 0.226563i | ||||
\(135\) | −3.76795e10 | − | 1.05515e8i | −0.0723218 | − | 0.000202524i | ||||
\(136\) | −2.62435e11 | − | 1.03045e11i | −0.483680 | − | 0.189916i | ||||
\(137\) | 7.22337e11i | 1.27872i | 0.768906 | + | 0.639362i | \(0.220801\pi\) | ||||
−0.768906 | + | 0.639362i | \(0.779199\pi\) | |||||||
\(138\) | −9.71842e10 | − | 1.22760e10i | −0.165295 | − | 0.0208795i | ||||
\(139\) | 4.62835e11i | 0.756562i | 0.925691 | + | 0.378281i | \(0.123485\pi\) | ||||
−0.925691 | + | 0.378281i | \(0.876515\pi\) | |||||||
\(140\) | 5.60523e10 | − | 5.74558e10i | 0.0880825 | − | 0.0902880i | ||||
\(141\) | −6.65601e11 | − | 3.85114e11i | −1.00579 | − | 0.581948i | ||||
\(142\) | 7.91417e11 | − | 3.33562e11i | 1.15032 | − | 0.484832i | ||||
\(143\) | 8.35281e11 | 1.16811 | ||||||||
\(144\) | 6.34804e11 | − | 3.86116e11i | 0.854370 | − | 0.519666i | ||||
\(145\) | 7.30259e10 | 0.0946135 | ||||||||
\(146\) | −7.84721e11 | + | 3.30740e11i | −0.978982 | + | 0.412616i | ||||
\(147\) | −1.47085e12 | − | 8.51028e11i | −1.76735 | − | 1.02258i | ||||
\(148\) | −2.41969e11 | + | 2.48028e11i | −0.280105 | + | 0.287118i | ||||
\(149\) | 2.22822e11i | 0.248562i | 0.992247 | + | 0.124281i | \(0.0396624\pi\) | ||||
−0.992247 | + | 0.124281i | \(0.960338\pi\) | |||||||
\(150\) | −9.17882e11 | − | 1.15944e11i | −0.986927 | − | 0.124665i | ||||
\(151\) | − | 6.54960e11i | − | 0.678956i | −0.940614 | − | 0.339478i | \(-0.889750\pi\) | ||
0.940614 | − | 0.339478i | \(-0.110250\pi\) | |||||||
\(152\) | −4.31042e11 | − | 1.69248e11i | −0.430903 | − | 0.169194i | ||||
\(153\) | −4.67191e11 | + | 2.68571e11i | −0.450497 | + | 0.258974i | ||||
\(154\) | 9.96938e11 | + | 2.36535e12i | 0.927479 | + | 2.20055i | ||||
\(155\) | 1.27301e10 | 0.0114290 | ||||||||
\(156\) | 9.47947e11 | − | 2.65652e11i | 0.821484 | − | 0.230211i | ||||
\(157\) | −1.23576e12 | −1.03392 | −0.516959 | − | 0.856010i | \(-0.672936\pi\) | ||||
−0.516959 | + | 0.856010i | \(0.672936\pi\) | |||||||
\(158\) | −7.50452e11 | − | 1.78054e12i | −0.606330 | − | 1.43859i | ||||
\(159\) | 1.23380e10 | − | 2.13241e10i | 0.00962856 | − | 0.0166413i | ||||
\(160\) | −8.74462e10 | + | 3.94302e10i | −0.0659297 | + | 0.0297282i | ||||
\(161\) | − | 3.98851e11i | − | 0.290582i | ||||||
\(162\) | 1.81918e11 | − | 1.40844e12i | 0.128098 | − | 0.991761i | ||||
\(163\) | 1.71507e12i | 1.16748i | 0.811939 | + | 0.583742i | \(0.198412\pi\) | ||||
−0.811939 | + | 0.583742i | \(0.801588\pi\) | |||||||
\(164\) | 4.77606e11 | + | 4.65939e11i | 0.314361 | + | 0.306682i | ||||
\(165\) | −7.79064e10 | + | 1.34647e11i | −0.0495920 | + | 0.0857109i | ||||
\(166\) | 1.56802e12 | − | 6.60883e11i | 0.965513 | − | 0.406940i | ||||
\(167\) | 3.29971e11 | 0.196578 | 0.0982890 | − | 0.995158i | \(-0.468663\pi\) | ||||
0.0982890 | + | 0.995158i | \(0.468663\pi\) | |||||||
\(168\) | 1.88368e12 | + | 2.36734e12i | 1.08594 | + | 1.36477i | ||||
\(169\) | −4.87767e11 | −0.272167 | ||||||||
\(170\) | 6.41103e10 | − | 2.70209e10i | 0.0346305 | − | 0.0145959i | ||||
\(171\) | −7.67347e11 | + | 4.41120e11i | −0.401340 | + | 0.230716i | ||||
\(172\) | −1.72881e12 | − | 1.68658e12i | −0.875671 | − | 0.854281i | ||||
\(173\) | 1.18941e12i | 0.583551i | 0.956487 | + | 0.291775i | \(0.0942460\pi\) | ||||
−0.956487 | + | 0.291775i | \(0.905754\pi\) | |||||||
\(174\) | −3.44926e11 | + | 2.73065e12i | −0.163948 | + | 1.29791i | ||||
\(175\) | − | 3.76705e12i | − | 1.73497i | ||||||
\(176\) | −7.58463e10 | − | 3.06659e12i | −0.0338544 | − | 1.36879i | ||||
\(177\) | −2.03679e11 | − | 1.17847e11i | −0.0881236 | − | 0.0509879i | ||||
\(178\) | −1.01813e12 | − | 2.41565e12i | −0.427066 | − | 1.01327i | ||||
\(179\) | −1.49151e12 | −0.606644 | −0.303322 | − | 0.952888i | \(-0.598096\pi\) | ||||
−0.303322 | + | 0.952888i | \(0.598096\pi\) | |||||||
\(180\) | −4.55917e10 | + | 1.77586e11i | −0.0179840 | + | 0.0700504i | ||||
\(181\) | 2.14728e12 | 0.821592 | 0.410796 | − | 0.911727i | \(-0.365251\pi\) | ||||
0.410796 | + | 0.911727i | \(0.365251\pi\) | |||||||
\(182\) | 1.55684e12 | + | 3.69379e12i | 0.577898 | + | 1.37113i | ||||
\(183\) | 2.94456e12 | + | 1.70371e12i | 1.06057 | + | 0.613640i | ||||
\(184\) | −1.74207e11 | + | 4.43671e11i | −0.0608929 | + | 0.155082i | ||||
\(185\) | − | 8.55042e10i | − | 0.0290097i | ||||||
\(186\) | −6.01284e10 | + | 4.76013e11i | −0.0198042 | + | 0.156783i | ||||
\(187\) | 2.22480e12i | 0.711480i | ||||||||
\(188\) | −2.61294e12 | + | 2.67836e12i | −0.811449 | + | 0.831767i | ||||
\(189\) | 5.78240e12 | + | 1.61926e10i | 1.74409 | + | 0.00488400i | ||||
\(190\) | 1.05299e11 | − | 4.43809e10i | 0.0308518 | − | 0.0130032i | ||||
\(191\) | 5.22439e12 | 1.48714 | 0.743571 | − | 0.668657i | \(-0.233131\pi\) | ||||
0.743571 | + | 0.668657i | \(0.233131\pi\) | |||||||
\(192\) | −1.06137e12 | − | 3.45610e12i | −0.293569 | − | 0.955938i | ||||
\(193\) | −2.77245e11 | −0.0745243 | −0.0372622 | − | 0.999306i | \(-0.511864\pi\) | ||||
−0.0372622 | + | 0.999306i | \(0.511864\pi\) | |||||||
\(194\) | 3.98892e12 | − | 1.68123e12i | 1.04219 | − | 0.439255i | ||||
\(195\) | −1.21660e11 | + | 2.10268e11i | −0.0309000 | + | 0.0534052i | ||||
\(196\) | −5.77410e12 | + | 5.91867e12i | −1.42586 | + | 1.46156i | ||||
\(197\) | − | 7.26515e12i | − | 1.74454i | −0.489026 | − | 0.872269i | \(-0.662648\pi\) | ||
0.489026 | − | 0.872269i | \(-0.337352\pi\) | |||||||
\(198\) | −4.66687e12 | − | 3.54912e12i | −1.08985 | − | 0.828824i | ||||
\(199\) | − | 5.35168e11i | − | 0.121562i | −0.998151 | − | 0.0607811i | \(-0.980641\pi\) | ||
0.998151 | − | 0.0607811i | \(-0.0193592\pi\) | |||||||
\(200\) | −1.64534e12 | + | 4.19037e12i | −0.363573 | + | 0.925949i | ||||
\(201\) | −5.72723e11 | + | 9.89850e11i | −0.123131 | + | 0.212810i | ||||
\(202\) | −1.99188e12 | − | 4.72598e12i | −0.416707 | − | 0.988688i | ||||
\(203\) | −1.12068e13 | −2.28167 | ||||||||
\(204\) | 7.07572e11 | + | 2.52489e12i | 0.140218 | + | 0.500354i | ||||
\(205\) | −1.64648e11 | −0.0317622 | ||||||||
\(206\) | 4.31042e11 | + | 1.02270e12i | 0.0809561 | + | 0.192078i | ||||
\(207\) | 4.54044e11 | + | 7.89828e11i | 0.0830349 | + | 0.144443i | ||||
\(208\) | −1.18443e11 | − | 4.78885e12i | −0.0210941 | − | 0.852870i | ||||
\(209\) | 3.65417e12i | 0.633846i | ||||||||
\(210\) | −7.40645e11 | − | 9.35557e10i | −0.125142 | − | 0.0158075i | ||||
\(211\) | 1.06659e12i | 0.175568i | 0.996140 | + | 0.0877841i | \(0.0279786\pi\) | ||||
−0.996140 | + | 0.0877841i | \(0.972021\pi\) | |||||||
\(212\) | −8.58076e10 | − | 8.37116e10i | −0.0137619 | − | 0.0134257i | ||||
\(213\) | −6.91369e12 | − | 4.00023e12i | −1.08049 | − | 0.625169i | ||||
\(214\) | 6.51495e12 | − | 2.74589e12i | 0.992283 | − | 0.418222i | ||||
\(215\) | 5.95984e11 | 0.0884756 | ||||||||
\(216\) | −6.42511e12 | − | 2.54360e12i | −0.929790 | − | 0.368089i | ||||
\(217\) | −1.95359e12 | −0.275617 | ||||||||
\(218\) | 4.80765e12 | − | 2.02631e12i | 0.661336 | − | 0.278737i | ||||
\(219\) | 6.85520e12 | + | 3.96639e12i | 0.919554 | + | 0.532050i | ||||
\(220\) | 5.41818e11 | + | 5.28583e11i | 0.0708808 | + | 0.0691494i | ||||
\(221\) | 3.47430e12i | 0.443312i | ||||||||
\(222\) | 3.19724e12 | + | 4.03865e11i | 0.397955 | + | 0.0502684i | ||||
\(223\) | − | 1.96117e12i | − | 0.238144i | −0.992886 | − | 0.119072i | \(-0.962008\pi\) | ||
0.992886 | − | 0.119072i | \(-0.0379919\pi\) | |||||||
\(224\) | 1.34197e13 | − | 6.05107e12i | 1.58994 | − | 0.716916i | ||||
\(225\) | 4.28834e12 | + | 7.45975e12i | 0.495776 | + | 0.862423i | ||||
\(226\) | 6.69312e12 | + | 1.58802e13i | 0.755148 | + | 1.79168i | ||||
\(227\) | −9.93085e12 | −1.09356 | −0.546782 | − | 0.837275i | \(-0.684147\pi\) | ||||
−0.546782 | + | 0.837275i | \(0.684147\pi\) | |||||||
\(228\) | 1.16217e12 | + | 4.14706e12i | 0.124918 | + | 0.445757i | ||||
\(229\) | −3.89609e12 | −0.408822 | −0.204411 | − | 0.978885i | \(-0.565528\pi\) | ||||
−0.204411 | + | 0.978885i | \(0.565528\pi\) | |||||||
\(230\) | −4.56812e10 | − | 1.08384e11i | −0.00467988 | − | 0.0111036i | ||||
\(231\) | 1.19557e13 | − | 2.06634e13i | 1.19594 | − | 2.06697i | ||||
\(232\) | 1.24661e13 | + | 4.89480e12i | 1.21772 | + | 0.478135i | ||||
\(233\) | − | 1.13944e12i | − | 0.108701i | −0.998522 | − | 0.0543503i | \(-0.982691\pi\) | ||
0.998522 | − | 0.0543503i | \(-0.0173088\pi\) | |||||||
\(234\) | −7.28788e12 | − | 5.54239e12i | −0.679069 | − | 0.516428i | ||||
\(235\) | − | 9.23330e11i | − | 0.0840396i | ||||||
\(236\) | −7.99577e11 | + | 8.19598e11i | −0.0710959 | + | 0.0728760i | ||||
\(237\) | −8.99976e12 | + | 1.55545e13i | −0.781835 | + | 1.35126i | ||||
\(238\) | −9.83854e12 | + | 4.14670e12i | −0.835136 | + | 0.351989i | ||||
\(239\) | 9.12985e12 | 0.757313 | 0.378656 | − | 0.925537i | \(-0.376386\pi\) | ||||
0.378656 | + | 0.925537i | \(0.376386\pi\) | |||||||
\(240\) | 7.83010e11 | + | 4.27561e11i | 0.0634754 | + | 0.0346606i | ||||
\(241\) | 6.57145e12 | 0.520676 | 0.260338 | − | 0.965518i | \(-0.416166\pi\) | ||||
0.260338 | + | 0.965518i | \(0.416166\pi\) | |||||||
\(242\) | −1.04076e13 | + | 4.38653e12i | −0.806055 | + | 0.339732i | ||||
\(243\) | −1.14691e13 | + | 6.55050e12i | −0.868350 | + | 0.495953i | ||||
\(244\) | 1.15594e13 | − | 1.18488e13i | 0.855640 | − | 0.877064i | ||||
\(245\) | − | 2.04038e12i | − | 0.147672i | ||||||
\(246\) | 7.77689e11 | − | 6.15667e12i | 0.0550380 | − | 0.435715i | ||||
\(247\) | 5.70643e12i | 0.394940i | ||||||||
\(248\) | 2.17312e12 | + | 8.53273e11i | 0.147096 | + | 0.0577569i | ||||
\(249\) | −1.36980e13 | − | 7.92561e12i | −0.906903 | − | 0.524730i | ||||
\(250\) | −8.65165e11 | − | 2.05271e12i | −0.0560311 | − | 0.132941i | ||||
\(251\) | −1.36590e13 | −0.865390 | −0.432695 | − | 0.901540i | \(-0.642437\pi\) | ||||
−0.432695 | + | 0.901540i | \(0.642437\pi\) | |||||||
\(252\) | 6.99662e12 | − | 2.72529e13i | 0.433696 | − | 1.68931i | ||||
\(253\) | 3.76123e12 | 0.228122 | ||||||||
\(254\) | −8.12870e11 | − | 1.92863e12i | −0.0482431 | − | 0.114463i | ||||
\(255\) | −5.60057e11 | − | 3.24047e11i | −0.0325283 | − | 0.0188207i | ||||
\(256\) | −1.75707e13 | + | 8.69687e11i | −0.998777 | + | 0.0494360i | ||||
\(257\) | − | 2.66227e13i | − | 1.48122i | −0.671934 | − | 0.740611i | \(-0.734536\pi\) | ||
0.671934 | − | 0.740611i | \(-0.265464\pi\) | |||||||
\(258\) | −2.81503e12 | + | 2.22855e13i | −0.153312 | + | 1.21371i | ||||
\(259\) | 1.31217e13i | 0.699587i | ||||||||
\(260\) | 8.46115e11 | + | 8.25446e11i | 0.0441647 | + | 0.0430859i | ||||
\(261\) | 2.21923e13 | − | 1.27576e13i | 1.13417 | − | 0.651996i | ||||
\(262\) | −9.01172e12 | + | 3.79821e12i | −0.450973 | + | 0.190074i | ||||
\(263\) | 6.65684e12 | 0.326221 | 0.163110 | − | 0.986608i | \(-0.447847\pi\) | ||||
0.163110 | + | 0.986608i | \(0.447847\pi\) | |||||||
\(264\) | −2.23244e13 | + | 1.77634e13i | −1.07142 | + | 0.852521i | ||||
\(265\) | 2.95810e10 | 0.00139047 | ||||||||
\(266\) | −1.61595e13 | + | 6.81082e12i | −0.744010 | + | 0.313582i | ||||
\(267\) | −1.22099e13 | + | 2.11027e13i | −0.550682 | + | 0.951757i | ||||
\(268\) | 3.98313e12 | + | 3.88584e12i | 0.175988 | + | 0.171689i | ||||
\(269\) | 3.68058e13i | 1.59323i | 0.604486 | + | 0.796615i | \(0.293378\pi\) | ||||
−0.604486 | + | 0.796615i | \(0.706622\pi\) | |||||||
\(270\) | 1.57317e12 | − | 6.57870e11i | 0.0667229 | − | 0.0279023i | ||||
\(271\) | − | 6.28990e11i | − | 0.0261404i | −0.999915 | − | 0.0130702i | \(-0.995840\pi\) | ||
0.999915 | − | 0.0130702i | \(-0.00416050\pi\) | |||||||
\(272\) | 1.27553e13 | − | 3.15478e11i | 0.519471 | − | 0.0128481i | ||||
\(273\) | 1.86703e13 | − | 3.22684e13i | 0.745173 | − | 1.28790i | ||||
\(274\) | −1.26961e13 | − | 3.01230e13i | −0.496640 | − | 1.17834i | ||||
\(275\) | 3.55239e13 | 1.36204 | ||||||||
\(276\) | 4.26856e12 | − | 1.19622e12i | 0.160428 | − | 0.0449582i | ||||
\(277\) | 9.90495e12 | 0.364933 | 0.182467 | − | 0.983212i | \(-0.441592\pi\) | ||||
0.182467 | + | 0.983212i | \(0.441592\pi\) | |||||||
\(278\) | −8.13497e12 | − | 1.93012e13i | −0.293839 | − | 0.697169i | ||||
\(279\) | 3.86862e12 | − | 2.22393e12i | 0.137004 | − | 0.0787586i | ||||
\(280\) | −1.32764e12 | + | 3.38123e12i | −0.0461010 | + | 0.117410i | ||||
\(281\) | 1.54091e13i | 0.524677i | 0.964976 | + | 0.262338i | \(0.0844937\pi\) | ||||
−0.964976 | + | 0.262338i | \(0.915506\pi\) | |||||||
\(282\) | 3.45259e13 | + | 4.36120e12i | 1.15286 | + | 0.145625i | ||||
\(283\) | − | 4.11728e13i | − | 1.34829i | −0.738597 | − | 0.674147i | \(-0.764511\pi\) | ||
0.738597 | − | 0.674147i | \(-0.235489\pi\) | |||||||
\(284\) | −2.71410e13 | + | 2.78205e13i | −0.871715 | + | 0.893542i | ||||
\(285\) | −9.19876e11 | − | 5.32236e11i | −0.0289790 | − | 0.0167671i | ||||
\(286\) | −3.48330e13 | + | 1.46812e13i | −1.07641 | + | 0.453680i | ||||
\(287\) | 2.52674e13 | 0.765967 | ||||||||
\(288\) | −1.96861e13 | + | 2.72594e13i | −0.585466 | + | 0.810697i | ||||
\(289\) | 2.50180e13 | 0.729985 | ||||||||
\(290\) | −3.04534e12 | + | 1.28353e12i | −0.0871860 | + | 0.0367467i | ||||
\(291\) | −3.48465e13 | − | 2.01620e13i | −0.978922 | − | 0.566400i | ||||
\(292\) | 2.69113e13 | − | 2.75852e13i | 0.741873 | − | 0.760449i | ||||
\(293\) | − | 1.37583e13i | − | 0.372213i | −0.982530 | − | 0.186107i | \(-0.940413\pi\) | ||
0.982530 | − | 0.186107i | \(-0.0595870\pi\) | |||||||
\(294\) | 7.62957e13 | + | 9.63741e12i | 2.02577 | + | 0.255888i | ||||
\(295\) | − | 2.82545e11i | − | 0.00736321i | ||||||
\(296\) | 5.73119e12 | − | 1.45962e13i | 0.146602 | − | 0.373367i | ||||
\(297\) | −1.52698e11 | + | 5.45290e13i | −0.00383420 | + | 1.36920i | ||||
\(298\) | −3.91642e12 | − | 9.29217e12i | −0.0965382 | − | 0.229049i | ||||
\(299\) | 5.87362e12 | 0.142139 | ||||||||
\(300\) | 4.03155e13 | − | 1.12980e13i | 0.957868 | − | 0.268432i | ||||
\(301\) | −9.14614e13 | −2.13365 | ||||||||
\(302\) | 1.15119e13 | + | 2.73133e13i | 0.263698 | + | 0.625655i | ||||
\(303\) | −2.38876e13 | + | 4.12854e13i | −0.537325 | + | 0.928672i | ||||
\(304\) | 2.09502e13 | − | 5.18163e11i | 0.462788 | − | 0.0114462i | ||||
\(305\) | 4.08472e12i | 0.0886163i | ||||||||
\(306\) | 1.47624e13 | − | 1.94115e13i | 0.314549 | − | 0.413611i | ||||
\(307\) | 5.30312e13i | 1.10987i | 0.831895 | + | 0.554933i | \(0.187256\pi\) | ||||
−0.831895 | + | 0.554933i | \(0.812744\pi\) | |||||||
\(308\) | −8.31489e13 | − | 8.11178e13i | −1.70934 | − | 1.66758i | ||||
\(309\) | 5.16925e12 | − | 8.93413e12i | 0.104389 | − | 0.180418i | ||||
\(310\) | −5.30871e11 | + | 2.23749e11i | −0.0105317 | + | 0.00443886i | ||||
\(311\) | −1.40535e13 | −0.273907 | −0.136954 | − | 0.990577i | \(-0.543731\pi\) | ||||
−0.136954 | + | 0.990577i | \(0.543731\pi\) | |||||||
\(312\) | −3.48623e13 | + | 2.77398e13i | −0.667583 | + | 0.531193i | ||||
\(313\) | −3.38361e13 | −0.636630 | −0.318315 | − | 0.947985i | \(-0.603117\pi\) | ||||
−0.318315 | + | 0.947985i | \(0.603117\pi\) | |||||||
\(314\) | 5.15339e13 | − | 2.17202e13i | 0.952752 | − | 0.401561i | ||||
\(315\) | 3.46029e12 | + | 6.01931e12i | 0.0628643 | + | 0.109355i | ||||
\(316\) | 6.25910e13 | + | 6.10620e13i | 1.11746 | + | 1.09017i | ||||
\(317\) | − | 4.49687e13i | − | 0.789013i | −0.918893 | − | 0.394507i | \(-0.870916\pi\) | ||
0.918893 | − | 0.394507i | \(-0.129084\pi\) | |||||||
\(318\) | −1.39721e11 | + | 1.10612e12i | −0.00240942 | + | 0.0190745i | ||||
\(319\) | − | 1.05682e14i | − | 1.79123i | ||||||
\(320\) | 2.95365e12 | − | 3.18131e12i | 0.0492078 | − | 0.0530007i | ||||
\(321\) | −5.69136e13 | − | 3.29300e13i | −0.932048 | − | 0.539279i | ||||
\(322\) | 7.01037e12 | + | 1.66329e13i | 0.112858 | + | 0.267770i | ||||
\(323\) | −1.51993e13 | −0.240552 | ||||||||
\(324\) | 1.71690e13 | + | 6.19327e13i | 0.267146 | + | 0.963656i | ||||
\(325\) | 5.54749e13 | 0.848669 | ||||||||
\(326\) | −3.01448e13 | − | 7.15222e13i | −0.453436 | − | 1.07583i | ||||
\(327\) | −4.19989e13 | − | 2.43004e13i | −0.621191 | − | 0.359418i | ||||
\(328\) | −2.81067e13 | − | 1.10361e13i | −0.408794 | − | 0.160512i | ||||
\(329\) | 1.41697e14i | 2.02667i | ||||||||
\(330\) | 8.82245e11 | − | 6.98440e12i | 0.0124097 | − | 0.0982432i | ||||
\(331\) | 2.48156e13i | 0.343298i | 0.985158 | + | 0.171649i | \(0.0549095\pi\) | ||||
−0.985158 | + | 0.171649i | \(0.945090\pi\) | |||||||
\(332\) | −5.37740e13 | + | 5.51205e13i | −0.731666 | + | 0.749987i | ||||
\(333\) | −1.49375e13 | − | 2.59844e13i | −0.199910 | − | 0.347752i | ||||
\(334\) | −1.37605e13 | + | 5.79970e12i | −0.181146 | + | 0.0763484i | ||||
\(335\) | −1.37313e12 | −0.0177814 | ||||||||
\(336\) | −1.20163e14 | − | 6.56148e13i | −1.53075 | − | 0.835864i | ||||
\(337\) | −8.33363e12 | −0.104441 | −0.0522204 | − | 0.998636i | \(-0.516630\pi\) | ||||
−0.0522204 | + | 0.998636i | \(0.516630\pi\) | |||||||
\(338\) | 2.03409e13 | − | 8.57320e12i | 0.250801 | − | 0.105706i | ||||
\(339\) | 8.02669e13 | − | 1.38727e14i | 0.973729 | − | 1.68292i | ||||
\(340\) | −2.19861e12 | + | 2.25366e12i | −0.0262430 | + | 0.0269001i | ||||
\(341\) | − | 1.84227e13i | − | 0.216373i | ||||||
\(342\) | 2.42467e13 | − | 3.18828e13i | 0.280226 | − | 0.368480i | ||||
\(343\) | 1.59772e14i | 1.81711i | ||||||||
\(344\) | 1.01739e14 | + | 3.99477e13i | 1.13872 | + | 0.447117i | ||||
\(345\) | −5.47830e11 | + | 9.46827e11i | −0.00603449 | + | 0.0104296i | ||||
\(346\) | −2.09056e13 | − | 4.96010e13i | −0.226644 | − | 0.537740i | ||||
\(347\) | 6.31737e13 | 0.674100 | 0.337050 | − | 0.941487i | \(-0.390571\pi\) | ||||
0.337050 | + | 0.941487i | \(0.390571\pi\) | |||||||
\(348\) | −3.36108e13 | − | 1.19936e14i | −0.353015 | − | 1.25969i | ||||
\(349\) | 1.44146e14 | 1.49027 | 0.745134 | − | 0.666915i | \(-0.232386\pi\) | ||||
0.745134 | + | 0.666915i | \(0.232386\pi\) | |||||||
\(350\) | 6.62113e13 | + | 1.57094e14i | 0.673842 | + | 1.59877i | ||||
\(351\) | −2.38457e11 | + | 8.51537e13i | −0.00238903 | + | 0.853128i | ||||
\(352\) | 5.70626e13 | + | 1.26550e14i | 0.562816 | + | 1.24818i | ||||
\(353\) | − | 1.33570e14i | − | 1.29702i | −0.761205 | − | 0.648511i | \(-0.775392\pi\) | ||
0.761205 | − | 0.648511i | \(-0.224608\pi\) | |||||||
\(354\) | 1.05652e13 | + | 1.33456e12i | 0.101009 | + | 0.0127591i | ||||
\(355\) | − | 9.59076e12i | − | 0.0902812i | ||||||
\(356\) | 8.49168e13 | + | 8.28425e13i | 0.787079 | + | 0.767853i | ||||
\(357\) | 8.59479e13 | + | 4.97291e13i | 0.784441 | + | 0.453874i | ||||
\(358\) | 6.21991e13 | − | 2.62154e13i | 0.559020 | − | 0.235613i | ||||
\(359\) | −7.04733e13 | −0.623742 | −0.311871 | − | 0.950124i | \(-0.600956\pi\) | ||||
−0.311871 | + | 0.950124i | \(0.600956\pi\) | |||||||
\(360\) | −1.22006e12 | − | 8.20707e12i | −0.0106345 | − | 0.0715360i | ||||
\(361\) | 9.15259e13 | 0.785696 | ||||||||
\(362\) | −8.95461e13 | + | 3.77414e13i | −0.757094 | + | 0.319096i | ||||
\(363\) | 9.09188e13 | + | 5.26052e13i | 0.757124 | + | 0.438069i | ||||
\(364\) | −1.29847e14 | − | 1.26675e14i | −1.06506 | − | 1.03904i | ||||
\(365\) | 9.50962e12i | 0.0768338i | ||||||||
\(366\) | −1.52739e14 | − | 1.92935e13i | −1.21564 | − | 0.153556i | ||||
\(367\) | − | 6.12669e12i | − | 0.0480356i | −0.999712 | − | 0.0240178i | \(-0.992354\pi\) | ||
0.999712 | − | 0.0240178i | \(-0.00764583\pi\) | |||||||
\(368\) | −5.33344e11 | − | 2.15640e13i | −0.00411950 | − | 0.166558i | ||||
\(369\) | −5.00360e13 | + | 2.87639e13i | −0.380748 | + | 0.218878i | ||||
\(370\) | 1.50286e12 | + | 3.56571e12i | 0.0112670 | + | 0.0267323i | ||||
\(371\) | −4.53959e12 | −0.0335320 | ||||||||
\(372\) | −5.85912e12 | − | 2.09076e13i | −0.0426429 | − | 0.152166i | ||||
\(373\) | −1.06348e14 | −0.762660 | −0.381330 | − | 0.924439i | \(-0.624534\pi\) | ||||
−0.381330 | + | 0.924439i | \(0.624534\pi\) | |||||||
\(374\) | −3.91040e13 | − | 9.27790e13i | −0.276330 | − | 0.655626i | ||||
\(375\) | −1.03755e13 | + | 1.79321e13i | −0.0722496 | + | 0.124871i | ||||
\(376\) | 6.18891e13 | − | 1.57620e14i | 0.424699 | − | 1.08163i | ||||
\(377\) | − | 1.65035e14i | − | 1.11609i | ||||||
\(378\) | −2.41423e14 | + | 1.00959e14i | −1.60907 | + | 0.672881i | ||||
\(379\) | − | 1.05026e14i | − | 0.689889i | −0.938623 | − | 0.344944i | \(-0.887898\pi\) | ||
0.938623 | − | 0.344944i | \(-0.112102\pi\) | |||||||
\(380\) | −3.61114e12 | + | 3.70156e12i | −0.0233795 | + | 0.0239649i | ||||
\(381\) | −9.74830e12 | + | 1.68482e13i | −0.0622074 | + | 0.107514i | ||||
\(382\) | −2.17868e14 | + | 9.18261e13i | −1.37040 | + | 0.577587i | ||||
\(383\) | −3.04841e14 | −1.89008 | −0.945041 | − | 0.326951i | \(-0.893979\pi\) | ||||
−0.945041 | + | 0.326951i | \(0.893979\pi\) | |||||||
\(384\) | 1.05007e14 | + | 1.25472e14i | 0.641797 | + | 0.766875i | ||||
\(385\) | 2.86645e13 | 0.172707 | ||||||||
\(386\) | 1.15617e13 | − | 4.87297e12i | 0.0686739 | − | 0.0289443i | ||||
\(387\) | 1.81117e14 | − | 1.04118e14i | 1.06060 | − | 0.609698i | ||||
\(388\) | −1.36796e14 | + | 1.40222e14i | −0.789769 | + | 0.809544i | ||||
\(389\) | − | 6.90022e12i | − | 0.0392771i | −0.999807 | − | 0.0196386i | \(-0.993748\pi\) | ||
0.999807 | − | 0.0196386i | \(-0.00625155\pi\) | |||||||
\(390\) | 1.37773e12 | − | 1.09070e13i | 0.00773232 | − | 0.0612138i | ||||
\(391\) | 1.56446e13i | 0.0865749i | ||||||||
\(392\) | 1.36763e14 | − | 3.48309e14i | 0.746270 | − | 1.90060i | ||||
\(393\) | 7.87250e13 | + | 4.55499e13i | 0.423597 | + | 0.245092i | ||||
\(394\) | 1.27695e14 | + | 3.02973e14i | 0.677557 | + | 1.60759i | ||||
\(395\) | −2.15774e13 | −0.112905 | ||||||||
\(396\) | 2.56999e14 | + | 6.59793e13i | 1.32620 | + | 0.340474i | ||||
\(397\) | −2.38561e14 | −1.21409 | −0.607045 | − | 0.794667i | \(-0.707645\pi\) | ||||
−0.607045 | + | 0.794667i | \(0.707645\pi\) | |||||||
\(398\) | 9.40634e12 | + | 2.23177e13i | 0.0472132 | + | 0.112019i | ||||
\(399\) | 1.41167e14 | + | 8.16785e13i | 0.698846 | + | 0.404349i | ||||
\(400\) | −5.03731e12 | − | 2.03667e14i | −0.0245962 | − | 0.994465i | ||||
\(401\) | 1.43134e14i | 0.689366i | 0.938719 | + | 0.344683i | \(0.112014\pi\) | ||||
−0.938719 | + | 0.344683i | \(0.887986\pi\) | |||||||
\(402\) | 6.48576e12 | − | 5.13453e13i | 0.0308118 | − | 0.243926i | ||||
\(403\) | − | 2.87693e13i | − | 0.134819i | ||||||
\(404\) | 1.66132e14 | + | 1.62073e14i | 0.767989 | + | 0.749229i | ||||
\(405\) | −1.37045e13 | − | 7.98069e12i | −0.0624973 | − | 0.0363947i | ||||
\(406\) | 4.67346e14 | − | 1.96975e14i | 2.10255 | − | 0.886171i | ||||
\(407\) | −1.23740e14 | −0.549213 | ||||||||
\(408\) | −7.38859e13 | − | 9.28569e13i | −0.323542 | − | 0.406615i | ||||
\(409\) | −1.53844e14 | −0.664664 | −0.332332 | − | 0.943163i | \(-0.607835\pi\) | ||||
−0.332332 | + | 0.943163i | \(0.607835\pi\) | |||||||
\(410\) | 6.86619e12 | − | 2.89393e12i | 0.0292688 | − | 0.0123361i | ||||
\(411\) | −1.52257e14 | + | 2.63150e14i | −0.640395 | + | 1.10681i | ||||
\(412\) | −3.59507e13 | − | 3.50726e13i | −0.149201 | − | 0.145557i | ||||
\(413\) | 4.33602e13i | 0.177569i | ||||||||
\(414\) | −3.28170e13 | − | 2.49571e13i | −0.132616 | − | 0.100854i | ||||
\(415\) | − | 1.90020e13i | − | 0.0757767i | ||||||
\(416\) | 8.91102e13 | + | 1.97624e14i | 0.350682 | + | 0.777724i | ||||
\(417\) | −9.75583e13 | + | 1.68612e14i | −0.378892 | + | 0.654848i | ||||
\(418\) | −6.42272e13 | − | 1.52387e14i | −0.246178 | − | 0.584087i | ||||
\(419\) | 3.85506e14 | 1.45833 | 0.729163 | − | 0.684340i | \(-0.239910\pi\) | ||||
0.729163 | + | 0.684340i | \(0.239910\pi\) | |||||||
\(420\) | 3.25309e13 | − | 9.11640e12i | 0.121457 | − | 0.0340371i | ||||
\(421\) | −3.12752e14 | −1.15252 | −0.576261 | − | 0.817266i | \(-0.695489\pi\) | ||||
−0.576261 | + | 0.817266i | \(0.695489\pi\) | |||||||
\(422\) | −1.87469e13 | − | 4.44793e13i | −0.0681885 | − | 0.161785i | ||||
\(423\) | −1.61305e14 | − | 2.80597e14i | −0.579129 | − | 1.00742i | ||||
\(424\) | 5.04971e12 | + | 1.98276e12i | 0.0178959 | + | 0.00702682i | ||||
\(425\) | 1.47760e14i | 0.516912i | ||||||||
\(426\) | 3.58626e14 | + | 4.53004e13i | 1.23848 | + | 0.156440i | ||||
\(427\) | − | 6.26853e14i | − | 2.13704i | ||||||
\(428\) | −2.23425e14 | + | 2.29019e14i | −0.751953 | + | 0.770781i | ||||
\(429\) | 3.04296e14 | + | 1.76064e14i | 1.01107 | + | 0.585000i | ||||
\(430\) | −2.48538e13 | + | 1.04753e13i | −0.0815299 | + | 0.0343628i | ||||
\(431\) | −1.80047e14 | −0.583123 | −0.291562 | − | 0.956552i | \(-0.594175\pi\) | ||||
−0.291562 | + | 0.956552i | \(0.594175\pi\) | |||||||
\(432\) | 3.12648e14 | − | 6.85678e12i | 0.999760 | − | 0.0219260i | ||||
\(433\) | 5.38712e14 | 1.70088 | 0.850438 | − | 0.526075i | \(-0.176337\pi\) | ||||
0.850438 | + | 0.526075i | \(0.176337\pi\) | |||||||
\(434\) | 8.14690e13 | − | 3.43371e13i | 0.253980 | − | 0.107046i | ||||
\(435\) | 2.66036e13 | + | 1.53927e13i | 0.0818935 | + | 0.0473832i | ||||
\(436\) | −1.64874e14 | + | 1.69003e14i | −0.501161 | + | 0.513710i | ||||
\(437\) | 2.56958e13i | 0.0771282i | ||||||||
\(438\) | −3.55591e14 | − | 4.49171e13i | −1.05401 | − | 0.133139i | ||||
\(439\) | 5.40243e14i | 1.58137i | 0.612222 | + | 0.790686i | \(0.290276\pi\) | ||||
−0.612222 | + | 0.790686i | \(0.709724\pi\) | |||||||
\(440\) | −3.18856e13 | − | 1.25198e13i | −0.0921731 | − | 0.0361917i | ||||
\(441\) | −3.56453e14 | − | 6.20065e14i | −1.01763 | − | 1.77021i | ||||
\(442\) | −6.10657e13 | − | 1.44886e14i | −0.172177 | − | 0.408510i | ||||
\(443\) | 4.31343e14 | 1.20116 | 0.600582 | − | 0.799564i | \(-0.294936\pi\) | ||||
0.600582 | + | 0.799564i | \(0.294936\pi\) | |||||||
\(444\) | −1.40430e14 | + | 3.93540e13i | −0.386238 | + | 0.108239i | ||||
\(445\) | −2.92739e13 | −0.0795245 | ||||||||
\(446\) | 3.44704e13 | + | 8.17852e13i | 0.0924921 | + | 0.219449i | ||||
\(447\) | −4.69674e13 | + | 8.11749e13i | −0.124482 | + | 0.215145i | ||||
\(448\) | −4.53276e14 | + | 4.88213e14i | −1.18668 | + | 1.27815i | ||||
\(449\) | − | 2.09001e14i | − | 0.540496i | −0.962791 | − | 0.270248i | \(-0.912894\pi\) | ||
0.962791 | − | 0.270248i | \(-0.0871057\pi\) | |||||||
\(450\) | −3.09949e14 | − | 2.35714e14i | −0.791810 | − | 0.602166i | ||||
\(451\) | 2.38276e14i | 0.601324i | ||||||||
\(452\) | −5.58235e14 | − | 5.44599e14i | −1.39173 | − | 1.35774i | ||||
\(453\) | 1.38055e14 | − | 2.38604e14i | 0.340027 | − | 0.587676i | ||||
\(454\) | 4.14138e14 | − | 1.74549e14i | 1.00772 | − | 0.424727i | ||||
\(455\) | 4.47631e13 | 0.107611 | ||||||||
\(456\) | −1.21355e14 | − | 1.52515e14i | −0.288238 | − | 0.362247i | ||||
\(457\) | 4.30977e14 | 1.01138 | 0.505691 | − | 0.862715i | \(-0.331237\pi\) | ||||
0.505691 | + | 0.862715i | \(0.331237\pi\) | |||||||
\(458\) | 1.62475e14 | − | 6.84793e13i | 0.376728 | − | 0.158781i | ||||
\(459\) | −2.26810e14 | − | 6.35140e11i | −0.519628 | − | 0.00145512i | ||||
\(460\) | 3.81001e12 | + | 3.71694e12i | 0.00862498 | + | 0.00841430i | ||||
\(461\) | 3.84344e14i | 0.859736i | 0.902892 | + | 0.429868i | \(0.141440\pi\) | ||||
−0.902892 | + | 0.429868i | \(0.858560\pi\) | |||||||
\(462\) | −1.35392e14 | + | 1.07185e15i | −0.299269 | + | 2.36920i | ||||
\(463\) | 3.84713e14i | 0.840313i | 0.907452 | + | 0.420157i | \(0.138025\pi\) | ||||
−0.907452 | + | 0.420157i | \(0.861975\pi\) | |||||||
\(464\) | −6.05896e14 | + | 1.49857e13i | −1.30782 | + | 0.0323466i | ||||
\(465\) | 4.63761e12 | + | 2.68330e12i | 0.00989242 | + | 0.00572371i | ||||
\(466\) | 2.00272e13 | + | 4.75169e13i | 0.0422180 | + | 0.100167i | ||||
\(467\) | −4.41899e14 | −0.920619 | −0.460310 | − | 0.887758i | \(-0.652262\pi\) | ||||
−0.460310 | + | 0.887758i | \(0.652262\pi\) | |||||||
\(468\) | 4.01336e14 | + | 1.03035e14i | 0.826334 | + | 0.212144i | ||||
\(469\) | 2.10725e14 | 0.428810 | ||||||||
\(470\) | 1.62288e13 | + | 3.85049e13i | 0.0326399 | + | 0.0774421i | ||||
\(471\) | −4.50192e14 | − | 2.60479e14i | −0.894917 | − | 0.517795i | ||||
\(472\) | 1.89385e13 | − | 4.82327e13i | 0.0372104 | − | 0.0947677i | ||||
\(473\) | − | 8.62496e14i | − | 1.67502i | ||||||
\(474\) | 1.01917e14 | − | 8.06840e14i | 0.195644 | − | 1.54884i | ||||
\(475\) | 2.42690e14i | 0.460509i | ||||||||
\(476\) | 3.37404e14 | − | 3.45853e14i | 0.632867 | − | 0.648713i | ||||
\(477\) | 8.98957e12 | − | 5.16778e12i | 0.0166682 | − | 0.00958192i | ||||
\(478\) | −3.80735e14 | + | 1.60470e14i | −0.697861 | + | 0.294131i | ||||
\(479\) | 9.63435e14 | 1.74573 | 0.872865 | − | 0.487962i | \(-0.162259\pi\) | ||||
0.872865 | + | 0.487962i | \(0.162259\pi\) | |||||||
\(480\) | −4.01682e13 | − | 4.06772e12i | −0.0719541 | − | 0.00728658i | ||||
\(481\) | −1.93235e14 | −0.342206 | ||||||||
\(482\) | −2.74044e14 | + | 1.15503e14i | −0.479801 | + | 0.202224i | ||||
\(483\) | 8.40715e13 | − | 1.45303e14i | 0.145526 | − | 0.251515i | ||||
\(484\) | 3.56918e14 | − | 3.65855e14i | 0.610829 | − | 0.626123i | ||||
\(485\) | − | 4.83395e13i | − | 0.0817943i | ||||||
\(486\) | 3.63152e14 | − | 4.74756e14i | 0.607559 | − | 0.794275i | ||||
\(487\) | − | 2.68363e14i | − | 0.443928i | −0.975055 | − | 0.221964i | \(-0.928753\pi\) | ||
0.975055 | − | 0.221964i | \(-0.0712468\pi\) | |||||||
\(488\) | −2.73792e14 | + | 6.97294e14i | −0.447828 | + | 1.14053i | ||||
\(489\) | −3.61510e14 | + | 6.24807e14i | −0.584685 | + | 1.01053i | ||||
\(490\) | 3.58626e13 | + | 8.50884e13i | 0.0573540 | + | 0.136079i | ||||
\(491\) | 3.19688e14 | 0.505566 | 0.252783 | − | 0.967523i | \(-0.418654\pi\) | ||||
0.252783 | + | 0.967523i | \(0.418654\pi\) | |||||||
\(492\) | 7.57808e13 | + | 2.70415e14i | 0.118509 | + | 0.422886i | ||||
\(493\) | 4.39576e14 | 0.679792 | ||||||||
\(494\) | −1.00299e14 | − | 2.37970e14i | −0.153390 | − | 0.363936i | ||||
\(495\) | −5.67631e13 | + | 3.26311e13i | −0.0858494 | + | 0.0493517i | ||||
\(496\) | −1.05621e14 | + | 2.61234e12i | −0.157980 | + | 0.00390734i | ||||
\(497\) | 1.47183e15i | 2.17719i | ||||||||
\(498\) | 7.10540e14 | + | 8.97530e13i | 1.03951 | + | 0.131307i | ||||
\(499\) | − | 2.17704e14i | − | 0.315002i | −0.987519 | − | 0.157501i | \(-0.949656\pi\) | ||
0.987519 | − | 0.157501i | \(-0.0503438\pi\) | |||||||
\(500\) | 7.21585e13 | + | 7.03959e13i | 0.103265 | + | 0.100742i | ||||
\(501\) | 1.20209e14 | + | 6.95527e13i | 0.170150 | + | 0.0984479i | ||||
\(502\) | 5.69608e14 | − | 2.40075e14i | 0.797454 | − | 0.336107i | ||||
\(503\) | 1.94437e13 | 0.0269250 | 0.0134625 | − | 0.999909i | \(-0.495715\pi\) | ||||
0.0134625 | + | 0.999909i | \(0.495715\pi\) | |||||||
\(504\) | 1.87234e14 | + | 1.25948e15i | 0.256458 | + | 1.72514i | ||||
\(505\) | −5.72716e13 | −0.0775956 | ||||||||
\(506\) | −1.56851e14 | + | 6.61089e13i | −0.210213 | + | 0.0885997i | ||||
\(507\) | −1.77695e14 | − | 1.02814e14i | −0.235577 | − | 0.136304i | ||||
\(508\) | 6.77969e13 | + | 6.61408e13i | 0.0889117 | + | 0.0867399i | ||||
\(509\) | − | 7.49490e14i | − | 0.972340i | −0.873864 | − | 0.486170i | \(-0.838394\pi\) | ||
0.873864 | − | 0.486170i | \(-0.161606\pi\) | |||||||
\(510\) | 2.90512e13 | + | 3.66964e12i | 0.0372844 | + | 0.00470964i | ||||
\(511\) | − | 1.45937e15i | − | 1.85290i | ||||||
\(512\) | 7.17449e14 | − | 3.45097e14i | 0.901169 | − | 0.433468i | ||||
\(513\) | −3.72528e14 | − | 1.04320e12i | −0.462928 | − | 0.00129635i | ||||
\(514\) | 4.67932e14 | + | 1.11022e15i | 0.575288 | + | 1.36494i | ||||
\(515\) | 1.23935e13 | 0.0150749 | ||||||||
\(516\) | −2.74307e14 | − | 9.78833e14i | −0.330114 | − | 1.17797i | ||||
\(517\) | −1.33622e15 | −1.59104 | ||||||||
\(518\) | −2.30633e14 | − | 5.47204e14i | −0.271711 | − | 0.644667i | ||||
\(519\) | −2.50709e14 | + | 4.33307e14i | −0.292247 | + | 0.505097i | ||||
\(520\) | −4.97932e13 | − | 1.95512e13i | −0.0574317 | − | 0.0225505i | ||||
\(521\) | 9.08358e14i | 1.03669i | 0.855171 | + | 0.518346i | \(0.173452\pi\) | ||||
−0.855171 | + | 0.518346i | \(0.826548\pi\) | |||||||
\(522\) | −7.01235e14 | + | 9.22079e14i | −0.791910 | + | 1.04131i | ||||
\(523\) | 1.33745e15i | 1.49458i | 0.664497 | + | 0.747291i | \(0.268646\pi\) | ||||
−0.664497 | + | 0.747291i | \(0.731354\pi\) | |||||||
\(524\) | 3.09049e14 | − | 3.16787e14i | 0.341748 | − | 0.350305i | ||||
\(525\) | 7.94036e14 | − | 1.37235e15i | 0.868888 | − | 1.50172i | ||||
\(526\) | −2.77605e14 | + | 1.17003e14i | −0.300611 | + | 0.126700i | ||||
\(527\) | 7.66280e13 | 0.0821163 | ||||||||
\(528\) | 6.18758e14 | − | 1.13316e15i | 0.656197 | − | 1.20172i | ||||
\(529\) | −9.26361e14 | −0.972241 | ||||||||
\(530\) | −1.23359e12 | + | 5.19928e11i | −0.00128131 | + | 0.000540040i | ||||
\(531\) | −4.93604e13 | − | 8.58645e13i | −0.0507410 | − | 0.0882660i | ||||
\(532\) | 5.54176e14 | − | 5.68052e14i | 0.563811 | − | 0.577928i | ||||
\(533\) | 3.72096e14i | 0.374676i | ||||||||
\(534\) | 1.38270e14 | − | 1.09463e15i | 0.137801 | − | 1.09092i | ||||
\(535\) | − | 7.89512e13i | − | 0.0778777i | ||||||
\(536\) | −2.34404e14 | − | 9.20386e13i | −0.228854 | − | 0.0898594i | ||||
\(537\) | −5.43361e14 | − | 3.14386e14i | −0.525086 | − | 0.303812i | ||||
\(538\) | −6.46914e14 | − | 1.53488e15i | −0.618791 | − | 1.46816i | ||||
\(539\) | −2.95280e15 | −2.79573 | ||||||||
\(540\) | −5.40416e13 | + | 5.50853e13i | −0.0506480 | + | 0.0516262i | ||||
\(541\) | −1.55267e15 | −1.44043 | −0.720217 | − | 0.693749i | \(-0.755958\pi\) | ||||
−0.720217 | + | 0.693749i | \(0.755958\pi\) | |||||||
\(542\) | 1.10554e13 | + | 2.62302e13i | 0.0101526 | + | 0.0240883i | ||||
\(543\) | 7.82261e14 | + | 4.52613e14i | 0.711136 | + | 0.411460i | ||||
\(544\) | −5.26378e14 | + | 2.37348e14i | −0.473700 | + | 0.213595i | ||||
\(545\) | − | 5.82614e13i | − | 0.0519039i | ||||||
\(546\) | −2.11431e14 | + | 1.67382e15i | −0.186470 | + | 1.47621i | ||||
\(547\) | − | 2.34140e14i | − | 0.204431i | −0.994762 | − | 0.102215i | \(-0.967407\pi\) | ||
0.994762 | − | 0.102215i | \(-0.0325931\pi\) | |||||||
\(548\) | 1.05891e15 | + | 1.03304e15i | 0.915304 | + | 0.892946i | ||||
\(549\) | 7.13597e14 | + | 1.24133e15i | 0.610668 | + | 1.06228i | ||||
\(550\) | −1.48142e15 | + | 6.24383e14i | −1.25512 | + | 0.529001i | ||||
\(551\) | 7.21990e14 | 0.605616 | ||||||||
\(552\) | −1.56983e14 | + | 1.24911e14i | −0.130373 | + | 0.103737i | ||||
\(553\) | 3.31133e15 | 2.72279 | ||||||||
\(554\) | −4.13058e14 | + | 1.74094e14i | −0.336285 | + | 0.141736i | ||||
\(555\) | 1.80229e13 | − | 3.11495e13i | 0.0145283 | − | 0.0251096i | ||||
\(556\) | 6.78492e14 | + | 6.61918e14i | 0.541543 | + | 0.528315i | ||||
\(557\) | − | 2.18048e15i | − | 1.72325i | −0.507544 | − | 0.861626i | \(-0.669447\pi\) | ||
0.507544 | − | 0.861626i | \(-0.330553\pi\) | |||||||
\(558\) | −1.22241e14 | + | 1.60739e14i | −0.0956597 | + | 0.125786i | ||||
\(559\) | − | 1.34689e15i | − | 1.04368i | ||||||
\(560\) | −4.06463e12 | − | 1.64340e14i | −0.00311880 | − | 0.126098i | ||||
\(561\) | −4.68953e14 | + | 8.10503e14i | −0.356315 | + | 0.615827i | ||||
\(562\) | −2.70836e14 | − | 6.42592e14i | −0.203778 | − | 0.483488i | ||||
\(563\) | 1.37826e15 | 1.02691 | 0.513457 | − | 0.858116i | \(-0.328365\pi\) | ||||
0.513457 | + | 0.858116i | \(0.328365\pi\) | |||||||
\(564\) | −1.51646e15 | + | 4.24971e14i | −1.11891 | + | 0.313562i | ||||
\(565\) | 1.92444e14 | 0.140617 | ||||||||
\(566\) | 7.23670e14 | + | 1.71699e15i | 0.523661 | + | 1.24245i | ||||
\(567\) | 2.10314e15 | + | 1.22474e15i | 1.50716 | + | 0.877681i | ||||
\(568\) | 6.42851e14 | − | 1.63722e15i | 0.456241 | − | 1.16196i | ||||
\(569\) | − | 2.17790e15i | − | 1.53081i | −0.643551 | − | 0.765404i | \(-0.722539\pi\) | ||
0.643551 | − | 0.765404i | \(-0.277461\pi\) | |||||||
\(570\) | 4.77156e13 | + | 6.02728e12i | 0.0332161 | + | 0.00419575i | ||||
\(571\) | 1.03214e15i | 0.711608i | 0.934561 | + | 0.355804i | \(0.115793\pi\) | ||||
−0.934561 | + | 0.355804i | \(0.884207\pi\) | |||||||
\(572\) | 1.19457e15 | − | 1.22448e15i | 0.815705 | − | 0.836129i | ||||
\(573\) | 1.90326e15 | + | 1.10122e15i | 1.28721 | + | 0.744773i | ||||
\(574\) | −1.05370e15 | + | 4.44110e14i | −0.705835 | + | 0.297492i | ||||
\(575\) | 2.49801e14 | 0.165737 | ||||||||
\(576\) | 3.41831e14 | − | 1.48279e15i | 0.224641 | − | 0.974442i | ||||
\(577\) | 6.71388e14 | 0.437025 | 0.218513 | − | 0.975834i | \(-0.429880\pi\) | ||||
0.218513 | + | 0.975834i | \(0.429880\pi\) | |||||||
\(578\) | −1.04330e15 | + | 4.39726e14i | −0.672678 | + | 0.283517i | ||||
\(579\) | −1.01001e14 | − | 5.84388e13i | −0.0645052 | − | 0.0373224i | ||||
\(580\) | 1.04437e14 | − | 1.07052e14i | 0.0660696 | − | 0.0677239i | ||||
\(581\) | 2.91611e15i | 1.82740i | ||||||||
\(582\) | 1.80755e15 | + | 2.28324e14i | 1.12206 | + | 0.141734i | ||||
\(583\) | − | 4.28091e13i | − | 0.0263244i | ||||||
\(584\) | −6.37412e14 | + | 1.62337e15i | −0.388284 | + | 0.988885i | ||||
\(585\) | −8.86425e13 | + | 5.09574e13i | −0.0534915 | + | 0.0307503i | ||||
\(586\) | 2.41821e14 | + | 5.73750e14i | 0.144563 | + | 0.342993i | ||||
\(587\) | −1.59850e15 | −0.946680 | −0.473340 | − | 0.880880i | \(-0.656952\pi\) | ||||
−0.473340 | + | 0.880880i | \(0.656952\pi\) | |||||||
\(588\) | −3.35109e15 | + | 9.39104e14i | −1.96612 | + | 0.550983i | ||||
\(589\) | 1.25859e14 | 0.0731561 | ||||||||
\(590\) | 4.96613e12 | + | 1.17827e13i | 0.00285978 | + | 0.00678517i | ||||
\(591\) | 1.53138e15 | − | 2.64672e15i | 0.873679 | − | 1.51000i | ||||
\(592\) | 1.75464e13 | + | 7.09428e14i | 0.00991786 | + | 0.400995i | ||||
\(593\) | − | 2.53418e15i | − | 1.41918i | −0.704617 | − | 0.709588i | \(-0.748881\pi\) | ||
0.704617 | − | 0.709588i | \(-0.251119\pi\) | |||||||
\(594\) | −9.52056e14 | − | 2.27666e15i | −0.528247 | − | 1.26320i | ||||
\(595\) | 1.19228e14i | 0.0655443i | ||||||||
\(596\) | 3.26646e14 | + | 3.18667e14i | 0.177919 | + | 0.173573i | ||||
\(597\) | 1.12805e14 | − | 1.94964e14i | 0.0608794 | − | 0.105219i | ||||
\(598\) | −2.44942e14 | + | 1.03237e14i | −0.130981 | + | 0.0552051i | ||||
\(599\) | −2.55437e15 | −1.35343 | −0.676717 | − | 0.736244i | \(-0.736598\pi\) | ||||
−0.676717 | + | 0.736244i | \(0.736598\pi\) | |||||||
\(600\) | −1.48267e15 | + | 1.17975e15i | −0.778416 | + | 0.619383i | ||||
\(601\) | 1.88826e14 | 0.0982320 | 0.0491160 | − | 0.998793i | \(-0.484360\pi\) | ||||
0.0491160 | + | 0.998793i | \(0.484360\pi\) | |||||||
\(602\) | 3.81414e15 | − | 1.60756e15i | 1.96615 | − | 0.828681i | ||||
\(603\) | −4.17290e14 | + | 2.39885e14i | −0.213154 | + | 0.122534i | ||||
\(604\) | −9.60138e14 | − | 9.36684e14i | −0.485994 | − | 0.474122i | ||||
\(605\) | 1.26124e14i | 0.0632619i | ||||||||
\(606\) | 2.70513e14 | − | 2.14155e15i | 0.134459 | − | 1.06446i | ||||
\(607\) | 2.94257e15i | 1.44940i | 0.689064 | + | 0.724701i | \(0.258022\pi\) | ||||
−0.689064 | + | 0.724701i | \(0.741978\pi\) | |||||||
\(608\) | −8.64559e14 | + | 3.89837e14i | −0.422012 | + | 0.190289i | ||||
\(609\) | −4.08266e15 | − | 2.36221e15i | −1.97491 | − | 1.14268i | ||||
\(610\) | −7.17948e13 | − | 1.70342e14i | −0.0344175 | − | 0.0816596i | ||||
\(611\) | −2.08668e15 | −0.991353 | ||||||||
\(612\) | −2.74437e14 | + | 1.06897e15i | −0.129214 | + | 0.503308i | ||||
\(613\) | −9.74927e14 | −0.454925 | −0.227462 | − | 0.973787i | \(-0.573043\pi\) | ||||
−0.227462 | + | 0.973787i | \(0.573043\pi\) | |||||||
\(614\) | −9.32099e14 | − | 2.21152e15i | −0.431058 | − | 1.02274i | ||||
\(615\) | −5.99819e13 | − | 3.47053e13i | −0.0274921 | − | 0.0159068i | ||||
\(616\) | 4.89325e15 | + | 1.92133e15i | 2.22281 | + | 0.872785i | ||||
\(617\) | 2.46447e15i | 1.10957i | 0.831993 | + | 0.554786i | \(0.187200\pi\) | ||||
−0.831993 | + | 0.554786i | \(0.812800\pi\) | |||||||
\(618\) | −5.85388e13 | + | 4.63429e14i | −0.0261220 | + | 0.206798i | ||||
\(619\) | 2.24621e15i | 0.993465i | 0.867904 | + | 0.496732i | \(0.165467\pi\) | ||||
−0.867904 | + | 0.496732i | \(0.834533\pi\) | |||||||
\(620\) | 1.82058e13 | − | 1.86616e13i | 0.00798095 | − | 0.00818079i | ||||
\(621\) | −1.07376e12 | + | 3.83443e14i | −0.000466556 | + | 0.166608i | ||||
\(622\) | 5.86063e14 | − | 2.47011e14i | 0.252405 | − | 0.106382i | ||||
\(623\) | 4.49246e15 | 1.91778 | ||||||||
\(624\) | 9.66266e14 | − | 1.76956e15i | 0.408866 | − | 0.748773i | ||||
\(625\) | 2.34684e15 | 0.984336 | ||||||||
\(626\) | 1.41104e15 | − | 5.94718e14i | 0.586652 | − | 0.247259i | ||||
\(627\) | −7.70241e14 | + | 1.33123e15i | −0.317435 | + | 0.548631i | ||||
\(628\) | −1.76731e15 | + | 1.81156e15i | −0.721996 | + | 0.740074i | ||||
\(629\) | − | 5.14688e14i | − | 0.208433i | ||||||
\(630\) | −2.50099e14 | − | 1.90199e14i | −0.100401 | − | 0.0763546i | ||||
\(631\) | − | 4.03426e15i | − | 1.60547i | −0.596335 | − | 0.802735i | \(-0.703377\pi\) | ||
0.596335 | − | 0.802735i | \(-0.296623\pi\) | |||||||
\(632\) | −3.68343e15 | − | 1.44629e15i | −1.45314 | − | 0.570575i | ||||
\(633\) | −2.24821e14 | + | 3.88564e14i | −0.0879260 | + | 0.151965i | ||||
\(634\) | 7.90388e14 | + | 1.87529e15i | 0.306443 | + | 0.727073i | ||||
\(635\) | −2.33721e13 | −0.00898342 | ||||||||
\(636\) | −1.36149e13 | − | 4.85833e13i | −0.00518801 | − | 0.0185128i | ||||
\(637\) | −4.61116e15 | −1.74198 | ||||||||
\(638\) | 1.85750e15 | + | 4.40715e15i | 0.695690 | + | 1.65061i | ||||
\(639\) | −1.67550e15 | − | 2.91460e15i | −0.622141 | − | 1.08224i | ||||
\(640\) | −6.72575e13 | + | 1.84582e14i | −0.0247600 | + | 0.0679517i | ||||
\(641\) | 1.25335e15i | 0.457461i | 0.973490 | + | 0.228731i | \(0.0734575\pi\) | ||||
−0.973490 | + | 0.228731i | \(0.926543\pi\) | |||||||
\(642\) | 2.95221e15 | + | 3.72913e14i | 1.06833 | + | 0.134948i | ||||
\(643\) | − | 3.13336e15i | − | 1.12422i | −0.827064 | − | 0.562108i | \(-0.809991\pi\) | ||
0.827064 | − | 0.562108i | \(-0.190009\pi\) | |||||||
\(644\) | −5.84695e14 | − | 5.70412e14i | −0.207997 | − | 0.202916i | ||||
\(645\) | 2.17119e14 | + | 1.25624e14i | 0.0765807 | + | 0.0443093i | ||||
\(646\) | 6.33843e14 | − | 2.67149e14i | 0.221668 | − | 0.0934274i | ||||
\(647\) | −2.26843e15 | −0.786598 | −0.393299 | − | 0.919411i | \(-0.628666\pi\) | ||||
−0.393299 | + | 0.919411i | \(0.628666\pi\) | |||||||
\(648\) | −1.80454e15 | − | 2.28096e15i | −0.620446 | − | 0.784249i | ||||
\(649\) | −4.08894e14 | −0.139401 | ||||||||
\(650\) | −2.31342e15 | + | 9.75050e14i | −0.782045 | + | 0.329612i | ||||
\(651\) | −7.11700e14 | − | 4.11787e14i | −0.238562 | − | 0.138031i | ||||
\(652\) | 2.51421e15 | + | 2.45279e15i | 0.835679 | + | 0.815266i | ||||
\(653\) | 2.05557e15i | 0.677500i | 0.940876 | + | 0.338750i | \(0.110004\pi\) | ||||
−0.940876 | + | 0.338750i | \(0.889996\pi\) | |||||||
\(654\) | 2.17856e15 | + | 2.75188e14i | 0.712019 | + | 0.0899398i | ||||
\(655\) | 1.09208e14i | 0.0353939i | ||||||||
\(656\) | 1.36609e15 | − | 3.37876e13i | 0.439043 | − | 0.0108589i | ||||
\(657\) | 1.66132e15 | + | 2.88994e15i | 0.529473 | + | 0.921041i | ||||
\(658\) | −2.49052e15 | − | 5.90906e15i | −0.787133 | − | 1.86757i | ||||
\(659\) | 4.06559e15 | 1.27425 | 0.637123 | − | 0.770762i | \(-0.280124\pi\) | ||||
0.637123 | + | 0.770762i | \(0.280124\pi\) | |||||||
\(660\) | 8.59691e13 | + | 3.06771e14i | 0.0267209 | + | 0.0953505i | ||||
\(661\) | −1.73015e15 | −0.533306 | −0.266653 | − | 0.963793i | \(-0.585918\pi\) | ||||
−0.266653 | + | 0.963793i | \(0.585918\pi\) | |||||||
\(662\) | −4.36170e14 | − | 1.03487e15i | −0.133333 | − | 0.316348i | ||||
\(663\) | −7.32328e14 | + | 1.26570e15i | −0.222014 | + | 0.383713i | ||||
\(664\) | 1.27367e15 | − | 3.24380e15i | 0.382942 | − | 0.975280i | ||||
\(665\) | 1.95828e14i | 0.0583924i | ||||||||
\(666\) | 1.07964e15 | + | 8.21058e14i | 0.319279 | + | 0.242810i | ||||
\(667\) | − | 7.43143e14i | − | 0.217962i | ||||||
\(668\) | 4.71904e14 | − | 4.83720e14i | 0.137272 | − | 0.140710i | ||||
\(669\) | 4.13385e14 | − | 7.14463e14i | 0.119264 | − | 0.206127i | ||||
\(670\) | 5.72626e13 | − | 2.41347e13i | 0.0163855 | − | 0.00690607i | ||||
\(671\) | 5.91133e15 | 1.67769 | ||||||||
\(672\) | 6.16433e15 | + | 6.24243e14i | 1.73522 | + | 0.175721i | ||||
\(673\) | 5.48741e15 | 1.53209 | 0.766045 | − | 0.642787i | \(-0.222222\pi\) | ||||
0.766045 | + | 0.642787i | \(0.222222\pi\) | |||||||
\(674\) | 3.47530e14 | − | 1.46475e14i | 0.0962417 | − | 0.0405635i | ||||
\(675\) | −1.01414e13 | + | 3.62153e15i | −0.00278566 | + | 0.994766i | ||||
\(676\) | −6.97575e14 | + | 7.15042e14i | −0.190057 | + | 0.194816i | ||||
\(677\) | − | 2.81283e15i | − | 0.760161i | −0.924953 | − | 0.380080i | \(-0.875896\pi\) | ||
0.924953 | − | 0.380080i | \(-0.124104\pi\) | |||||||
\(678\) | −9.08977e14 | + | 7.19603e15i | −0.243663 | + | 1.92899i | ||||
\(679\) | 7.41832e15i | 1.97252i | ||||||||
\(680\) | 5.20754e13 | − | 1.32626e14i | 0.0137352 | − | 0.0349808i | ||||
\(681\) | −3.61784e15 | − | 2.09327e15i | −0.946544 | − | 0.547666i | ||||
\(682\) | 3.23805e14 | + | 7.68266e14i | 0.0840367 | + | 0.199387i | ||||
\(683\) | −5.83869e15 | −1.50315 | −0.751574 | − | 0.659649i | \(-0.770705\pi\) | ||||
−0.751574 | + | 0.659649i | \(0.770705\pi\) | |||||||
\(684\) | −4.50754e14 | + | 1.75575e15i | −0.115115 | + | 0.448389i | ||||
\(685\) | −3.65045e14 | −0.0924800 | ||||||||
\(686\) | −2.80821e15 | − | 6.66282e15i | −0.705744 | − | 1.67446i | ||||
\(687\) | −1.41936e15 | − | 8.21235e14i | −0.353859 | − | 0.204741i | ||||
\(688\) | −4.94488e15 | + | 1.22302e14i | −1.22298 | + | 0.0302481i | ||||
\(689\) | − | 6.68515e13i | − | 0.0164023i | ||||||
\(690\) | 6.20386e12 | − | 4.91136e13i | 0.00151005 | − | 0.0119545i | ||||
\(691\) | − | 4.36803e15i | − | 1.05477i | −0.849627 | − | 0.527383i | \(-0.823173\pi\) | ||
0.849627 | − | 0.527383i | \(-0.176827\pi\) | |||||||
\(692\) | 1.74362e15 | + | 1.70102e15i | 0.417703 | + | 0.407499i | ||||
\(693\) | 8.71102e15 | − | 5.00765e15i | 2.07031 | − | 1.19015i | ||||
\(694\) | −2.63448e15 | + | 1.11037e15i | −0.621181 | + | 0.261812i | ||||
\(695\) | −2.33901e14 | −0.0547162 | ||||||||
\(696\) | 3.50969e15 | + | 4.41085e15i | 0.814552 | + | 1.02370i | ||||
\(697\) | −9.91092e14 | −0.228210 | ||||||||
\(698\) | −6.01122e15 | + | 2.53358e15i | −1.37328 | + | 0.578801i | ||||
\(699\) | 2.40175e14 | − | 4.15100e14i | 0.0544382 | − | 0.0940868i | ||||
\(700\) | −5.52231e15 | − | 5.38741e15i | −1.24188 | − | 1.21155i | ||||
\(701\) | 8.98486e14i | 0.200476i | 0.994963 | + | 0.100238i | \(0.0319604\pi\) | ||||
−0.994963 | + | 0.100238i | \(0.968040\pi\) | |||||||
\(702\) | −1.48675e15 | − | 3.55528e15i | −0.329143 | − | 0.787082i | ||||
\(703\) | − | 8.45359e14i | − | 0.185689i | ||||||
\(704\) | −4.60393e15 | − | 4.27446e15i | −1.00341 | − | 0.931605i | ||||
\(705\) | 1.94624e14 | − | 3.36372e14i | 0.0420877 | − | 0.0727411i | ||||
\(706\) | 2.34768e15 | + | 5.57015e15i | 0.503747 | + | 1.19520i | ||||
\(707\) | 8.78907e15 | 1.87127 | ||||||||
\(708\) | −4.64047e14 | + | 1.30044e14i | −0.0980345 | + | 0.0274731i | ||||
\(709\) | −8.60538e14 | −0.180391 | −0.0901957 | − | 0.995924i | \(-0.528749\pi\) | ||||
−0.0901957 | + | 0.995924i | \(0.528749\pi\) | |||||||
\(710\) | 1.68571e14 | + | 3.99955e14i | 0.0350641 | + | 0.0831938i | ||||
\(711\) | −6.55729e15 | + | 3.76955e15i | −1.35345 | + | 0.778048i | ||||
\(712\) | −4.99729e15 | − | 1.96218e15i | −1.02351 | − | 0.401882i | ||||
\(713\) | − | 1.29547e14i | − | 0.0263289i | ||||||
\(714\) | −4.45827e15 | − | 5.63154e14i | −0.899138 | − | 0.113576i | ||||
\(715\) | 4.22123e14i | 0.0844803i | ||||||||
\(716\) | −2.13306e15 | + | 2.18647e15i | −0.423626 | + | 0.434233i | ||||
\(717\) | 3.32604e15 | + | 1.92443e15i | 0.655499 | + | 0.379269i | ||||
\(718\) | 2.93889e15 | − | 1.23867e15i | 0.574776 | − | 0.242254i | ||||
\(719\) | −4.00739e15 | −0.777773 | −0.388887 | − | 0.921286i | \(-0.627140\pi\) | ||||
−0.388887 | + | 0.921286i | \(0.627140\pi\) | |||||||
\(720\) | 1.95130e14 | + | 3.20808e14i | 0.0375833 | + | 0.0617898i | ||||
\(721\) | −1.90195e15 | −0.363542 | ||||||||
\(722\) | −3.81683e15 | + | 1.60870e15i | −0.724016 | + | 0.305154i | ||||
\(723\) | 2.39400e15 | + | 1.38516e15i | 0.450676 | + | 0.260759i | ||||
\(724\) | 3.07091e15 | − | 3.14780e15i | 0.573726 | − | 0.588092i | ||||
\(725\) | − | 7.01881e15i | − | 1.30138i | ||||||
\(726\) | −4.71612e15 | − | 5.95724e14i | −0.867828 | − | 0.109621i | ||||
\(727\) | − | 4.93911e15i | − | 0.902006i | −0.892522 | − | 0.451003i | \(-0.851066\pi\) | ||
0.892522 | − | 0.451003i | \(-0.148934\pi\) | |||||||
\(728\) | 7.64140e15 | + | 3.00039e15i | 1.38500 | + | 0.543819i | ||||
\(729\) | −5.55897e15 | − | 3.11340e13i | −0.999984 | − | 0.00560059i | ||||
\(730\) | −1.67145e14 | − | 3.96572e14i | −0.0298413 | − | 0.0708020i | ||||
\(731\) | 3.58750e15 | 0.635691 | ||||||||
\(732\) | 6.70867e15 | − | 1.88003e15i | 1.17985 | − | 0.330639i | ||||
\(733\) | 7.04019e15 | 1.22889 | 0.614444 | − | 0.788960i | \(-0.289380\pi\) | ||||
0.614444 | + | 0.788960i | \(0.289380\pi\) | |||||||
\(734\) | 1.07685e14 | + | 2.55496e14i | 0.0186564 | + | 0.0442646i | ||||
\(735\) | 4.30081e14 | − | 7.43319e14i | 0.0739554 | − | 0.127819i | ||||
\(736\) | 4.01259e14 | + | 8.89889e14i | 0.0684851 | + | 0.151883i | ||||
\(737\) | 1.98717e15i | 0.336638i | ||||||||
\(738\) | 1.58104e15 | − | 2.07897e15i | 0.265848 | − | 0.349573i | ||||
\(739\) | 8.57116e14i | 0.143052i | 0.997439 | + | 0.0715262i | \(0.0227870\pi\) | ||||
−0.997439 | + | 0.0715262i | \(0.977213\pi\) | |||||||
\(740\) | −1.25345e14 | − | 1.22283e14i | −0.0207650 | − | 0.0202578i | ||||
\(741\) | −1.20283e15 | + | 2.07887e15i | −0.197789 | + | 0.341844i | ||||
\(742\) | 1.89311e14 | − | 7.97897e13i | 0.0308996 | − | 0.0130234i | ||||
\(743\) | −1.31097e15 | −0.212401 | −0.106200 | − | 0.994345i | \(-0.533868\pi\) | ||||
−0.106200 | + | 0.994345i | \(0.533868\pi\) | |||||||
\(744\) | 6.11819e14 | + | 7.68910e14i | 0.0983947 | + | 0.123659i | ||||
\(745\) | −1.12607e14 | −0.0179765 | ||||||||
\(746\) | 4.43494e15 | − | 1.86922e15i | 0.702788 | − | 0.296208i | ||||
\(747\) | −3.31964e15 | − | 5.77465e15i | −0.522189 | − | 0.908369i | ||||
\(748\) | 3.26145e15 | + | 3.18178e15i | 0.509274 | + | 0.496834i | ||||
\(749\) | 1.21161e16i | 1.87807i | ||||||||
\(750\) | 1.17496e14 | − | 9.30172e14i | 0.0180795 | − | 0.143129i | ||||
\(751\) | 4.90022e15i | 0.748507i | 0.927326 | + | 0.374254i | \(0.122101\pi\) | ||||
−0.927326 | + | 0.374254i | \(0.877899\pi\) | |||||||
\(752\) | 1.89477e14 | + | 7.66087e15i | 0.0287315 | + | 1.16166i | ||||
\(753\) | −4.97601e15 | − | 2.87909e15i | −0.749046 | − | 0.433395i | ||||
\(754\) | 2.90072e15 | + | 6.88230e15i | 0.433474 | + | 1.02847i | ||||
\(755\) | 3.30995e14 | 0.0491035 | ||||||||
\(756\) | 8.29338e15 | − | 8.45355e15i | 1.22141 | − | 1.24500i | ||||
\(757\) | −9.55984e15 | −1.39773 | −0.698865 | − | 0.715254i | \(-0.746311\pi\) | ||||
−0.698865 | + | 0.715254i | \(0.746311\pi\) | |||||||
\(758\) | 1.84597e15 | + | 4.37979e15i | 0.267944 | + | 0.635730i | ||||
\(759\) | 1.37023e15 | + | 7.92808e14i | 0.197453 | + | 0.114245i | ||||
\(760\) | 8.55322e13 | − | 2.17834e14i | 0.0122364 | − | 0.0311638i | ||||
\(761\) | 5.54500e15i | 0.787565i | 0.919204 | + | 0.393782i | \(0.128834\pi\) | ||||
−0.919204 | + | 0.393782i | \(0.871166\pi\) | |||||||
\(762\) | 1.10394e14 | − | 8.73947e14i | 0.0155666 | − | 0.123235i | ||||
\(763\) | 8.94096e15i | 1.25170i | ||||||||
\(764\) | 7.47161e15 | − | 7.65869e15i | 1.03849 | − | 1.06449i | ||||
\(765\) | −1.35727e14 | − | 2.36103e14i | −0.0187296 | − | 0.0325809i | ||||
\(766\) | 1.27125e16 | − | 5.35802e15i | 1.74170 | − | 0.734084i | ||||
\(767\) | −6.38537e14 | −0.0868584 | ||||||||
\(768\) | −6.58437e15 | − | 3.38679e15i | −0.889258 | − | 0.457406i | ||||
\(769\) | 8.41846e15 | 1.12885 | 0.564427 | − | 0.825483i | \(-0.309097\pi\) | ||||
0.564427 | + | 0.825483i | \(0.309097\pi\) | |||||||
\(770\) | −1.19537e15 | + | 5.03818e14i | −0.159149 | + | 0.0670772i | ||||
\(771\) | 5.61165e15 | − | 9.69874e15i | 0.741808 | − | 1.28208i | ||||
\(772\) | −3.96499e14 | + | 4.06426e14i | −0.0520411 | + | 0.0533442i | ||||
\(773\) | − | 4.73191e15i | − | 0.616665i | −0.951279 | − | 0.308332i | \(-0.900229\pi\) | ||
0.951279 | − | 0.308332i | \(-0.0997709\pi\) | |||||||
\(774\) | −5.72297e15 | + | 7.52533e15i | −0.740536 | + | 0.973757i | ||||
\(775\) | − | 1.22354e15i | − | 0.157202i | ||||||
\(776\) | 3.24011e15 | − | 8.25194e15i | 0.413352 | − | 1.05273i | ||||
\(777\) | −2.76585e15 | + | 4.78029e15i | −0.350359 | + | 0.605534i | ||||
\(778\) | 1.21281e14 | + | 2.87754e14i | 0.0152548 | + | 0.0361937i | ||||
\(779\) | −1.62784e15 | −0.203308 | ||||||||
\(780\) | 1.34251e14 | + | 4.79061e14i | 0.0166494 | + | 0.0594114i | ||||
\(781\) | −1.38795e16 | −1.70921 | ||||||||
\(782\) | −2.74976e14 | − | 6.52413e14i | −0.0336246 | − | 0.0797784i | ||||
\(783\) | 1.07738e16 | + | 3.01701e13i | 1.30822 | + | 0.00366343i | ||||
\(784\) | 4.18708e14 | + | 1.69291e16i | 0.0504863 | + | 2.04124i | ||||
\(785\) | − | 6.24512e14i | − | 0.0747752i | ||||||
\(786\) | −4.08360e15 | − | 5.15827e14i | −0.485534 | − | 0.0613310i | ||||
\(787\) | − | 1.61054e16i | − | 1.90156i | −0.309860 | − | 0.950782i | \(-0.600282\pi\) | ||
0.309860 | − | 0.950782i | \(-0.399718\pi\) | |||||||
\(788\) | −1.06503e16 | − | 1.03902e16i | −1.24873 | − | 1.21823i | ||||
\(789\) | 2.42511e15 | + | 1.40316e15i | 0.282363 | + | 0.163374i | ||||
\(790\) | 8.99824e14 | − | 3.79253e14i | 0.104042 | − | 0.0438511i | ||||
\(791\) | −2.95330e16 | −3.39107 | ||||||||
\(792\) | −1.18771e16 | + | 1.76565e15i | −1.35432 | + | 0.201333i | ||||
\(793\) | 9.23126e15 | 1.04534 | ||||||||
\(794\) | 9.94849e15 | − | 4.19304e15i | 1.11878 | − | 0.471538i | ||||
\(795\) | 1.07765e13 | + | 6.23522e12i | 0.00120353 | + | 0.000696358i | ||||
\(796\) | −7.84529e14 | − | 7.65366e14i | −0.0870137 | − | 0.0848881i | ||||
\(797\) | − | 6.80430e15i | − | 0.749485i | −0.927129 | − | 0.374742i | \(-0.877731\pi\) | ||
0.927129 | − | 0.374742i | \(-0.122269\pi\) | |||||||
\(798\) | −7.32257e15 | − | 9.24963e14i | −0.801028 | − | 0.101183i | ||||
\(799\) | − | 5.55794e15i | − | 0.603819i | ||||||
\(800\) | 3.78979e15 | + | 8.40479e15i | 0.408903 | + | 0.906843i | ||||
\(801\) | −8.89623e15 | + | 5.11412e15i | −0.953295 | + | 0.548015i | ||||
\(802\) | −2.51579e15 | − | 5.96901e15i | −0.267741 | − | 0.635248i | ||||
\(803\) | 1.37621e16 | 1.45462 | ||||||||
\(804\) | 6.31996e14 | + | 2.25521e15i | 0.0663447 | + | 0.236743i | ||||
\(805\) | 2.01566e14 | 0.0210155 | ||||||||
\(806\) | 5.05661e14 | + | 1.19974e15i | 0.0523620 | + | 0.124235i | ||||
\(807\) | −7.75809e15 | + | 1.34085e16i | −0.797903 | + | 1.37903i | ||||
\(808\) | −9.77672e15 | − | 3.83881e15i | −0.998690 | − | 0.392134i | ||||
\(809\) | − | 1.45048e16i | − | 1.47162i | −0.677190 | − | 0.735808i | \(-0.736802\pi\) | ||
0.677190 | − | 0.735808i | \(-0.263198\pi\) | |||||||
\(810\) | 7.11780e14 | + | 9.19354e13i | 0.0717263 | + | 0.00926435i | ||||
\(811\) | 1.48621e16i | 1.48753i | 0.668443 | + | 0.743763i | \(0.266961\pi\) | ||||
−0.668443 | + | 0.743763i | \(0.733039\pi\) | |||||||
\(812\) | −1.60272e16 | + | 1.64285e16i | −1.59331 | + | 1.63321i | ||||
\(813\) | 1.32581e14 | − | 2.29143e14i | 0.0130913 | − | 0.0226261i | ||||
\(814\) | 5.16022e15 | − | 2.17490e15i | 0.506097 | − | 0.213307i | ||||
\(815\) | −8.66740e14 | −0.0844349 | ||||||||
\(816\) | 4.71329e15 | + | 2.57368e15i | 0.456067 | + | 0.249034i | ||||
\(817\) | 5.89235e15 | 0.566327 | ||||||||
\(818\) | 6.41562e15 | − | 2.70402e15i | 0.612485 | − | 0.258147i | ||||
\(819\) | 1.36033e16 | − | 7.82006e15i | 1.28998 | − | 0.741564i | ||||
\(820\) | −2.35470e14 | + | 2.41366e14i | −0.0221799 | + | 0.0227353i | ||||
\(821\) | − | 4.24824e14i | − | 0.0397486i | −0.999802 | − | 0.0198743i | \(-0.993673\pi\) | ||
0.999802 | − | 0.0198743i | \(-0.00632660\pi\) | |||||||
\(822\) | 1.72423e15 | − | 1.36500e16i | 0.160251 | − | 1.26864i | ||||
\(823\) | 2.02219e16i | 1.86691i | 0.358691 | + | 0.933456i | \(0.383223\pi\) | ||||
−0.358691 | + | 0.933456i | \(0.616777\pi\) | |||||||
\(824\) | 2.11567e15 | + | 8.30716e14i | 0.194021 | + | 0.0761821i | ||||
\(825\) | 1.29415e16 | + | 7.48789e15i | 1.17893 | + | 0.682123i | ||||
\(826\) | −7.62117e14 | − | 1.80821e15i | −0.0689654 | − | 0.163629i | ||||
\(827\) | −7.68912e15 | −0.691188 | −0.345594 | − | 0.938384i | \(-0.612323\pi\) | ||||
−0.345594 | + | 0.938384i | \(0.612323\pi\) | |||||||
\(828\) | 1.80719e15 | + | 4.63960e14i | 0.161376 | + | 0.0414299i | ||||
\(829\) | 4.70297e15 | 0.417178 | 0.208589 | − | 0.978003i | \(-0.433113\pi\) | ||||
0.208589 | + | 0.978003i | \(0.433113\pi\) | |||||||
\(830\) | 3.33988e14 | + | 7.92426e14i | 0.0294307 | + | 0.0698280i | ||||
\(831\) | 3.60841e15 | + | 2.08781e15i | 0.315871 | + | 0.182762i | ||||
\(832\) | −7.18960e15 | − | 6.67509e15i | −0.625211 | − | 0.580469i | ||||
\(833\) | − | 1.22820e16i | − | 1.06101i | ||||||
\(834\) | 1.10479e15 | − | 8.74622e15i | 0.0948129 | − | 0.750597i | ||||
\(835\) | 1.66756e14i | 0.0142169i | ||||||||
\(836\) | 5.35682e15 | + | 5.22597e15i | 0.453704 | + | 0.442621i | ||||
\(837\) | 1.87812e15 | + | 5.25934e12i | 0.158028 | + | 0.000442528i | ||||
\(838\) | −1.60764e16 | + | 6.77582e15i | −1.34384 | + | 0.566395i | ||||
\(839\) | 6.91869e15 | 0.574557 | 0.287279 | − | 0.957847i | \(-0.407249\pi\) | ||||
0.287279 | + | 0.957847i | \(0.407249\pi\) | |||||||
\(840\) | −1.19637e15 | + | 9.51949e14i | −0.0987030 | + | 0.0785376i | ||||
\(841\) | −8.68004e15 | −0.711449 | ||||||||
\(842\) | 1.30424e16 | − | 5.49706e15i | 1.06204 | − | 0.447625i | ||||
\(843\) | −3.24799e15 | + | 5.61358e15i | −0.262762 | + | 0.454138i | ||||
\(844\) | 1.56357e15 | + | 1.52538e15i | 0.125671 | + | 0.122601i | ||||
\(845\) | − | 2.46501e14i | − | 0.0196837i | ||||||
\(846\) | 1.16586e16 | + | 8.86632e15i | 0.924934 | + | 0.703407i | ||||
\(847\) | − | 1.93553e16i | − | 1.52560i | ||||||
\(848\) | −2.45434e14 | + | 6.07034e12i | −0.0192202 | + | 0.000475375i | ||||
\(849\) | 8.67858e15 | − | 1.49994e16i | 0.675237 | − | 1.16703i | ||||
\(850\) | −2.59708e15 | − | 6.16189e15i | −0.200762 | − | 0.476332i | ||||
\(851\) | −8.70127e14 | −0.0668298 | ||||||||
\(852\) | −1.57517e16 | + | 4.41423e15i | −1.20201 | + | 0.336851i | ||||
\(853\) | 1.49731e16 | 1.13525 | 0.567626 | − | 0.823287i | \(-0.307862\pi\) | ||||
0.567626 | + | 0.823287i | \(0.307862\pi\) | |||||||
\(854\) | 1.10178e16 | + | 2.61411e16i | 0.830000 | + | 1.96927i | ||||
\(855\) | −2.22927e14 | − | 3.87791e14i | −0.0166859 | − | 0.0290258i | ||||
\(856\) | 5.29196e15 | − | 1.34776e16i | 0.393560 | − | 1.00232i | ||||
\(857\) | 2.16185e16i | 1.59747i | 0.601686 | + | 0.798733i | \(0.294496\pi\) | ||||
−0.601686 | + | 0.798733i | \(0.705504\pi\) | |||||||
\(858\) | −1.57844e16 | − | 1.99383e15i | −1.15890 | − | 0.146389i | ||||
\(859\) | − | 1.97593e16i | − | 1.44148i | −0.693204 | − | 0.720741i | \(-0.743802\pi\) | ||
0.693204 | − | 0.720741i | \(-0.256198\pi\) | |||||||
\(860\) | 8.52341e14 | − | 8.73682e14i | 0.0617834 | − | 0.0633304i | ||||
\(861\) | 9.20500e15 | + | 5.32597e15i | 0.662989 | + | 0.383602i | ||||
\(862\) | 7.50834e15 | − | 3.16458e15i | 0.537346 | − | 0.226478i | ||||
\(863\) | 2.79214e15 | 0.198554 | 0.0992770 | − | 0.995060i | \(-0.468347\pi\) | ||||
0.0992770 | + | 0.995060i | \(0.468347\pi\) | |||||||
\(864\) | −1.29176e16 | + | 5.78118e15i | −0.912759 | + | 0.408499i | ||||
\(865\) | −6.01088e14 | −0.0422036 | ||||||||
\(866\) | −2.24654e16 | + | 9.46862e15i | −1.56735 | + | 0.660599i | ||||
\(867\) | 9.11413e15 | + | 5.27340e15i | 0.631845 | + | 0.365583i | ||||
\(868\) | −2.79391e15 | + | 2.86387e15i | −0.192466 | + | 0.197285i | ||||
\(869\) | 3.12264e16i | 2.13753i | ||||||||
\(870\) | −1.37998e15 | − | 1.74314e14i | −0.0938676 | − | 0.0118570i | ||||
\(871\) | 3.10320e15i | 0.209754i | ||||||||
\(872\) | 3.90515e15 | − | 9.94567e15i | 0.262300 | − | 0.668026i | ||||
\(873\) | −8.44487e15 | − | 1.46902e16i | −0.563656 | − | 0.980504i | ||||
\(874\) | −4.51639e14 | − | 1.07157e15i | −0.0299556 | − | 0.0710734i | ||||
\(875\) | 3.81749e15 | 0.251613 | ||||||||
\(876\) | 1.56184e16 | − | 4.37688e15i | 1.02297 | − | 0.286677i | ||||
\(877\) | −2.32303e16 | −1.51202 | −0.756010 | − | 0.654560i | \(-0.772854\pi\) | ||||
−0.756010 | + | 0.654560i | \(0.772854\pi\) | |||||||
\(878\) | −9.49553e15 | − | 2.25293e16i | −0.614185 | − | 1.45723i | ||||
\(879\) | 2.90003e15 | − | 5.01219e15i | 0.186408 | − | 0.322172i | ||||
\(880\) | 1.54975e15 | − | 3.83302e13i | 0.0989936 | − | 0.00244842i | ||||
\(881\) | − | 1.98246e16i | − | 1.25845i | −0.777223 | − | 0.629225i | \(-0.783372\pi\) | ||
0.777223 | − | 0.629225i | \(-0.216628\pi\) | |||||||
\(882\) | 2.57634e16 | + | 1.95929e16i | 1.62527 | + | 1.23601i | ||||
\(883\) | 3.94151e15i | 0.247103i | 0.992338 | + | 0.123552i | \(0.0394285\pi\) | ||||
−0.992338 | + | 0.123552i | \(0.960572\pi\) | |||||||
\(884\) | 5.09314e15 | + | 4.96873e15i | 0.317321 | + | 0.309569i | ||||
\(885\) | 5.95561e13 | − | 1.02932e14i | 0.00368755 | − | 0.00637329i | ||||
\(886\) | −1.79879e16 | + | 7.58146e15i | −1.10687 | + | 0.466517i | ||||
\(887\) | 1.79857e15 | 0.109989 | 0.0549943 | − | 0.998487i | \(-0.482486\pi\) | ||||
0.0549943 | + | 0.998487i | \(0.482486\pi\) | |||||||
\(888\) | 5.16455e15 | − | 4.10941e15i | 0.313878 | − | 0.249752i | ||||
\(889\) | 3.58674e15 | 0.216641 | ||||||||
\(890\) | 1.22079e15 | − | 5.14530e14i | 0.0732815 | − | 0.0308863i | ||||
\(891\) | −1.15495e16 | + | 1.98329e16i | −0.689025 | + | 1.18320i | ||||
\(892\) | −2.87498e15 | − | 2.80475e15i | −0.170462 | − | 0.166298i | ||||
\(893\) | − | 9.12874e15i | − | 0.537933i | ||||||
\(894\) | 5.31880e14 | − | 4.21069e15i | 0.0311499 | − | 0.246602i | ||||
\(895\) | − | 7.53758e14i | − | 0.0438738i | ||||||
\(896\) | 1.03215e16 | − | 2.83265e16i | 0.597104 | − | 1.63870i | ||||
\(897\) | 2.13978e15 | + | 1.23807e15i | 0.123030 | + | 0.0711845i | ||||
\(898\) | 3.67348e15 | + | 8.71577e15i | 0.209922 | + | 0.498065i | ||||
\(899\) | −3.63995e15 | −0.206737 | ||||||||
\(900\) | 1.70685e16 | + | 4.38199e15i | 0.963523 | + | 0.247365i | ||||
\(901\) | 1.78062e14 | 0.00999042 | ||||||||
\(902\) | −4.18803e15 | − | 9.93660e15i | −0.233547 | − | 0.554118i | ||||
\(903\) | −3.33197e16 | − | 1.92786e16i | −1.84679 | − | 1.06855i | ||||
\(904\) | 3.28517e16 | + | 1.28992e16i | 1.80980 | + | 0.710617i | ||||
\(905\) | 1.08516e15i | 0.0594193i | ||||||||
\(906\) | −1.56340e15 | + | 1.23768e16i | −0.0850873 | + | 0.673603i | ||||
\(907\) | 1.26952e15i | 0.0686750i | 0.999410 | + | 0.0343375i | \(0.0109321\pi\) | ||||
−0.999410 | + | 0.0343375i | \(0.989068\pi\) | |||||||
\(908\) | −1.42025e16 | + | 1.45581e16i | −0.763647 | + | 0.782768i | ||||
\(909\) | −1.74046e16 | + | 1.00053e16i | −0.930173 | + | 0.534723i | ||||
\(910\) | −1.86672e15 | + | 7.86774e14i | −0.0991632 | + | 0.0417948i | ||||
\(911\) | 1.64917e16 | 0.870791 | 0.435396 | − | 0.900239i | \(-0.356608\pi\) | ||||
0.435396 | + | 0.900239i | \(0.356608\pi\) | |||||||
\(912\) | 7.74143e15 | + | 4.22720e15i | 0.406303 | + | 0.221861i | ||||
\(913\) | −2.74994e16 | −1.43461 | ||||||||
\(914\) | −1.79727e16 | + | 7.57504e15i | −0.931985 | + | 0.392808i | ||||
\(915\) | −8.60996e14 | + | 1.48808e15i | −0.0443798 | + | 0.0767026i | ||||
\(916\) | −5.57195e15 | + | 5.71147e15i | −0.285484 | + | 0.292633i | ||||
\(917\) | − | 1.67594e16i | − | 0.853546i | ||||||
\(918\) | 9.46962e15 | − | 3.96002e15i | 0.479400 | − | 0.200476i | ||||
\(919\) | 2.18676e16i | 1.10044i | 0.835020 | + | 0.550220i | \(0.185456\pi\) | ||||
−0.835020 | + | 0.550220i | \(0.814544\pi\) | |||||||
\(920\) | −2.24216e14 | − | 8.80382e13i | −0.0112159 | − | 0.00440391i | ||||
\(921\) | −1.11782e16 | + | 1.93195e16i | −0.555830 | + | 0.960654i | ||||
\(922\) | −6.75539e15 | − | 1.60280e16i | −0.333911 | − | 0.792244i | ||||
\(923\) | −2.16746e16 | −1.06498 | ||||||||
\(924\) | −1.31931e16 | − | 4.70780e16i | −0.644392 | − | 2.29944i | ||||
\(925\) | −8.21815e15 | −0.399020 | ||||||||
\(926\) | −6.76187e15 | − | 1.60433e16i | −0.326367 | − | 0.774345i | ||||
\(927\) | 3.76635e15 | − | 2.16514e15i | 0.180710 | − | 0.103884i | ||||
\(928\) | 2.50038e16 | − | 1.12744e16i | 1.19259 | − | 0.537750i | ||||
\(929\) | 2.26978e16i | 1.07621i | 0.842878 | + | 0.538105i | \(0.180860\pi\) | ||||
−0.842878 | + | 0.538105i | \(0.819140\pi\) | |||||||
\(930\) | −2.40561e14 | − | 3.03868e13i | −0.0113388 | − | 0.00143228i | ||||
\(931\) | − | 2.01728e16i | − | 0.945241i | ||||||
\(932\) | −1.67035e15 | − | 1.62955e15i | −0.0778074 | − | 0.0759068i | ||||
\(933\) | −5.11976e15 | − | 2.96227e15i | −0.237083 | − | 0.137175i | ||||
\(934\) | 1.84281e16 | − | 7.76700e15i | 0.848347 | − | 0.357557i | ||||
\(935\) | −1.12434e15 | −0.0514557 | ||||||||
\(936\) | −1.85475e16 | + | 2.75727e15i | −0.843858 | + | 0.125448i | ||||
\(937\) | 1.07803e16 | 0.487598 | 0.243799 | − | 0.969826i | \(-0.421606\pi\) | ||||
0.243799 | + | 0.969826i | \(0.421606\pi\) | |||||||
\(938\) | −8.78767e15 | + | 3.70378e15i | −0.395147 | + | 0.166544i | ||||
\(939\) | −1.23266e16 | − | 7.13213e15i | −0.551040 | − | 0.318829i | ||||
\(940\) | −1.35355e15 | − | 1.32049e15i | −0.0601551 | − | 0.0586857i | ||||
\(941\) | − | 8.03746e15i | − | 0.355121i | −0.984110 | − | 0.177560i | \(-0.943179\pi\) | ||
0.984110 | − | 0.177560i | \(-0.0568205\pi\) | |||||||
\(942\) | 2.33523e16 | + | 2.94978e15i | 1.02577 | + | 0.129571i | ||||
\(943\) | 1.67553e15i | 0.0731708i | ||||||||
\(944\) | 5.79813e13 | + | 2.34428e15i | 0.00251734 | + | 0.101780i | ||||
\(945\) | −8.18317e12 | + | 2.92223e15i | −0.000353221 | + | 0.126136i | ||||
\(946\) | 1.51596e16 | + | 3.59679e16i | 0.650558 | + | 1.54353i | ||||
\(947\) | 2.79197e16 | 1.19120 | 0.595602 | − | 0.803280i | \(-0.296914\pi\) | ||||
0.595602 | + | 0.803280i | \(0.296914\pi\) | |||||||
\(948\) | 9.93118e15 | + | 3.54383e16i | 0.421265 | + | 1.50324i | ||||
\(949\) | 2.14912e16 | 0.906352 | ||||||||
\(950\) | −4.26563e15 | − | 1.01207e16i | −0.178856 | − | 0.424357i | ||||
\(951\) | 9.47869e15 | − | 1.63822e16i | 0.395144 | − | 0.682937i | ||||
\(952\) | −7.99164e15 | + | 2.03532e16i | −0.331232 | + | 0.843584i | ||||
\(953\) | 2.77345e16i | 1.14290i | 0.820636 | + | 0.571451i | \(0.193619\pi\) | ||||
−0.820636 | + | 0.571451i | \(0.806381\pi\) | |||||||
\(954\) | −2.84053e14 | + | 3.73512e14i | −0.0116381 | + | 0.0153034i | ||||
\(955\) | 2.64023e15i | 0.107553i | ||||||||
\(956\) | 1.30570e16 | − | 1.33839e16i | 0.528839 | − | 0.542081i | ||||
\(957\) | 2.22760e16 | − | 3.85002e16i | 0.897061 | − | 1.55041i | ||||
\(958\) | −4.01773e16 | + | 1.69337e16i | −1.60868 | + | 0.678020i | ||||
\(959\) | 5.60208e16 | 2.23021 | ||||||||
\(960\) | 1.74660e15 | − | 5.36380e14i | 0.0691355 | − | 0.0212315i | ||||
\(961\) | 2.47740e16 | 0.975027 | ||||||||
\(962\) | 8.05831e15 | − | 3.39638e15i | 0.315342 | − | 0.132909i | ||||
\(963\) | −1.37927e16 | − | 2.39930e16i | −0.536667 | − | 0.933555i | ||||
\(964\) | 9.39810e15 | − | 9.63341e15i | 0.363594 | − | 0.372698i | ||||
\(965\) | − | 1.40110e14i | − | 0.00538976i | ||||||
\(966\) | −9.52062e14 | + | 7.53711e15i | −0.0364159 | + | 0.288291i | ||||
\(967\) | 3.61833e15i | 0.137614i | 0.997630 | + | 0.0688069i | \(0.0219192\pi\) | ||||
−0.997630 | + | 0.0688069i | \(0.978081\pi\) | |||||||
\(968\) | −8.45384e15 | + | 2.15303e16i | −0.319698 | + | 0.814208i | ||||
\(969\) | −5.53715e15 | − | 3.20377e15i | −0.208212 | − | 0.120470i | ||||
\(970\) | 8.49636e14 | + | 2.01586e15i | 0.0317679 | + | 0.0753731i | ||||
\(971\) | −7.15439e15 | −0.265991 | −0.132995 | − | 0.991117i | \(-0.542460\pi\) | ||||
−0.132995 | + | 0.991117i | \(0.542460\pi\) | |||||||
\(972\) | −6.79970e15 | + | 2.61812e16i | −0.251377 | + | 0.967889i | ||||
\(973\) | 3.58951e16 | 1.31952 | ||||||||
\(974\) | 4.71685e15 | + | 1.11913e16i | 0.172416 | + | 0.409078i | ||||
\(975\) | 2.02097e16 | + | 1.16932e16i | 0.734572 | + | 0.425020i | ||||
\(976\) | −8.38229e14 | − | 3.38910e16i | −0.0302962 | − | 1.22493i | ||||
\(977\) | 3.00252e16i | 1.07911i | 0.841951 | + | 0.539554i | \(0.181407\pi\) | ||||
−0.841951 | + | 0.539554i | \(0.818593\pi\) | |||||||
\(978\) | 4.09390e15 | − | 3.24098e16i | 0.146310 | − | 1.15828i | ||||
\(979\) | 4.23646e16i | 1.50556i | ||||||||
\(980\) | −2.99110e15 | − | 2.91803e15i | −0.105703 | − | 0.103121i | ||||
\(981\) | −1.01782e16 | − | 1.77054e16i | −0.357677 | − | 0.622195i | ||||
\(982\) | −1.33317e16 | + | 5.61896e15i | −0.465877 | + | 0.196355i | ||||
\(983\) | −1.80182e16 | −0.626135 | −0.313067 | − | 0.949731i | \(-0.601357\pi\) | ||||
−0.313067 | + | 0.949731i | \(0.601357\pi\) | |||||||
\(984\) | −7.91315e15 | − | 9.94494e15i | −0.273449 | − | 0.343660i | ||||
\(985\) | 3.67156e15 | 0.126169 | ||||||||
\(986\) | −1.83313e16 | + | 7.72617e15i | −0.626425 | + | 0.264023i | ||||
\(987\) | −2.98675e16 | + | 5.16206e16i | −1.01497 | + | 1.75420i | ||||
\(988\) | 8.36533e15 | + | 8.16099e15i | 0.282696 | + | 0.275791i | ||||
\(989\) | − | 6.06499e15i | − | 0.203822i | ||||||
\(990\) | 1.79361e15 | − | 2.35848e15i | 0.0599423 | − | 0.0788203i | ||||
\(991\) | − | 2.41463e16i | − | 0.802500i | −0.915969 | − | 0.401250i | \(-0.868576\pi\) | ||
0.915969 | − | 0.401250i | \(-0.131424\pi\) | |||||||
\(992\) | 4.35872e15 | − | 1.96538e15i | 0.144061 | − | 0.0649581i | ||||
\(993\) | −5.23075e15 | + | 9.04042e15i | −0.171926 | + | 0.297144i | ||||
\(994\) | −2.58694e16 | − | 6.13783e16i | −0.845593 | − | 2.00627i | ||||
\(995\) | 2.70456e14 | 0.00879164 | ||||||||
\(996\) | −3.12086e16 | + | 8.74585e15i | −1.00890 | + | 0.282733i | ||||
\(997\) | −1.62174e16 | −0.521385 | −0.260692 | − | 0.965422i | \(-0.583951\pi\) | ||||
−0.260692 | + | 0.965422i | \(0.583951\pi\) | |||||||
\(998\) | 3.82646e15 | + | 9.07874e15i | 0.122343 | + | 0.290274i | ||||
\(999\) | 3.53254e13 | − | 1.26148e16i | 0.00112325 | − | 0.401116i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 12.12.b.a.11.4 | yes | 20 | |
3.2 | odd | 2 | inner | 12.12.b.a.11.17 | yes | 20 | |
4.3 | odd | 2 | inner | 12.12.b.a.11.18 | yes | 20 | |
8.3 | odd | 2 | 192.12.c.d.191.18 | 20 | |||
8.5 | even | 2 | 192.12.c.d.191.3 | 20 | |||
12.11 | even | 2 | inner | 12.12.b.a.11.3 | ✓ | 20 | |
24.5 | odd | 2 | 192.12.c.d.191.17 | 20 | |||
24.11 | even | 2 | 192.12.c.d.191.4 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.12.b.a.11.3 | ✓ | 20 | 12.11 | even | 2 | inner | |
12.12.b.a.11.4 | yes | 20 | 1.1 | even | 1 | trivial | |
12.12.b.a.11.17 | yes | 20 | 3.2 | odd | 2 | inner | |
12.12.b.a.11.18 | yes | 20 | 4.3 | odd | 2 | inner | |
192.12.c.d.191.3 | 20 | 8.5 | even | 2 | |||
192.12.c.d.191.4 | 20 | 24.11 | even | 2 | |||
192.12.c.d.191.17 | 20 | 24.5 | odd | 2 | |||
192.12.c.d.191.18 | 20 | 8.3 | odd | 2 |