Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,12,Mod(4,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.4");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.c (of order \(3\), 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: | \(6.91508862504\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 9863 x^{18} + 40416552 x^{16} + 89424581388 x^{14} + 116167273852206 x^{12} + \cdots + 59\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{45} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Root | \(26.4646i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.4 |
Dual form | 9.12.c.a.7.3 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −24.4190 | − | 42.2949i | −0.539589 | − | 0.934595i | −0.998926 | − | 0.0463329i | \(-0.985246\pi\) |
0.459338 | − | 0.888262i | \(-0.348087\pi\) | |||||||
\(3\) | 129.541 | − | 400.457i | 0.307779 | − | 0.951458i | ||||
\(4\) | −168.574 | + | 291.979i | −0.0823116 | + | 0.142568i | ||||
\(5\) | 5966.72 | − | 10334.7i | 0.853887 | − | 1.47898i | −0.0237863 | − | 0.999717i | \(-0.507572\pi\) |
0.877674 | − | 0.479259i | \(-0.159095\pi\) | |||||||
\(6\) | −20100.6 | + | 4299.85i | −1.05530 | + | 0.225747i | ||||
\(7\) | 19533.0 | + | 33832.1i | 0.439268 | + | 0.760834i | 0.997633 | − | 0.0687610i | \(-0.0219046\pi\) |
−0.558365 | + | 0.829595i | \(0.688571\pi\) | |||||||
\(8\) | −83554.5 | −0.901520 | ||||||||
\(9\) | −143585. | − | 103751.i | −0.810544 | − | 0.585678i | ||||
\(10\) | −582805. | −1.84299 | ||||||||
\(11\) | 193586. | + | 335301.i | 0.362421 | + | 0.627732i | 0.988359 | − | 0.152141i | \(-0.0486168\pi\) |
−0.625937 | + | 0.779873i | \(0.715283\pi\) | |||||||
\(12\) | 95087.9 | + | 105330.i | 0.110313 | + | 0.122195i | ||||
\(13\) | −84319.1 | + | 146045.i | −0.0629851 | + | 0.109093i | −0.895798 | − | 0.444461i | \(-0.853395\pi\) |
0.832813 | + | 0.553554i | \(0.186729\pi\) | |||||||
\(14\) | 953952. | − | 1.65229e6i | 0.474048 | − | 0.821075i | ||||
\(15\) | −3.36566e6 | − | 3.72818e6i | −1.14437 | − | 1.26764i | ||||
\(16\) | 2.38556e6 | + | 4.13191e6i | 0.568761 | + | 0.985123i | ||||
\(17\) | 1.08126e7 | 1.84698 | 0.923488 | − | 0.383628i | \(-0.125326\pi\) | ||||
0.923488 | + | 0.383628i | \(0.125326\pi\) | |||||||
\(18\) | −881935. | + | 8.60643e6i | −0.110011 | + | 1.07356i | ||||
\(19\) | −9.47464e6 | −0.877845 | −0.438923 | − | 0.898525i | \(-0.644640\pi\) | ||||
−0.438923 | + | 0.898525i | \(0.644640\pi\) | |||||||
\(20\) | 2.01167e6 | + | 3.48431e6i | 0.140570 | + | 0.243474i | ||||
\(21\) | 1.60786e7 | − | 3.43949e6i | 0.859099 | − | 0.183776i | ||||
\(22\) | 9.45434e6 | − | 1.63754e7i | 0.391117 | − | 0.677434i | ||||
\(23\) | 2.90070e6 | − | 5.02416e6i | 0.0939724 | − | 0.162765i | −0.815207 | − | 0.579170i | \(-0.803377\pi\) |
0.909179 | + | 0.416405i | \(0.136710\pi\) | |||||||
\(24\) | −1.08237e7 | + | 3.34600e7i | −0.277469 | + | 0.857758i | ||||
\(25\) | −4.67894e7 | − | 8.10416e7i | −0.958247 | − | 1.65973i | ||||
\(26\) | 8.23595e6 | 0.135944 | ||||||||
\(27\) | −6.01481e7 | + | 4.40599e7i | −0.806717 | + | 0.590939i | ||||
\(28\) | −1.31710e7 | −0.144627 | ||||||||
\(29\) | −7.85142e6 | − | 1.35991e7i | −0.0710819 | − | 0.123118i | 0.828294 | − | 0.560294i | \(-0.189312\pi\) |
−0.899376 | + | 0.437176i | \(0.855979\pi\) | |||||||
\(30\) | −7.54970e7 | + | 2.33389e8i | −0.567234 | + | 1.75353i | ||||
\(31\) | −5.53679e6 | + | 9.59000e6i | −0.0347351 | + | 0.0601630i | −0.882870 | − | 0.469617i | \(-0.844392\pi\) |
0.848135 | + | 0.529780i | \(0.177725\pi\) | |||||||
\(32\) | 3.09459e7 | − | 5.36000e7i | 0.163034 | − | 0.282384i | ||||
\(33\) | 1.59351e8 | − | 3.40878e7i | 0.708807 | − | 0.151626i | ||||
\(34\) | −2.64033e8 | − | 4.57318e8i | −0.996607 | − | 1.72617i | ||||
\(35\) | 4.66191e8 | 1.50034 | ||||||||
\(36\) | 5.44979e7 | − | 2.44342e7i | 0.150216 | − | 0.0673494i | ||||
\(37\) | 3.96041e8 | 0.938925 | 0.469462 | − | 0.882952i | \(-0.344448\pi\) | ||||
0.469462 | + | 0.882952i | \(0.344448\pi\) | |||||||
\(38\) | 2.31361e8 | + | 4.00729e8i | 0.473675 | + | 0.820429i | ||||
\(39\) | 4.75621e7 | + | 5.26850e7i | 0.0844122 | + | 0.0935043i | ||||
\(40\) | −4.98546e8 | + | 8.63508e8i | −0.769796 | + | 1.33333i | ||||
\(41\) | 3.81251e8 | − | 6.60347e8i | 0.513925 | − | 0.890145i | −0.485944 | − | 0.873990i | \(-0.661524\pi\) |
0.999869 | − | 0.0161550i | \(-0.00514253\pi\) | |||||||
\(42\) | −5.38097e8 | − | 5.96056e8i | −0.635316 | − | 0.703746i | ||||
\(43\) | 1.72564e8 | + | 2.98889e8i | 0.179008 | + | 0.310051i | 0.941541 | − | 0.336898i | \(-0.109378\pi\) |
−0.762533 | + | 0.646949i | \(0.776044\pi\) | |||||||
\(44\) | −1.30534e8 | −0.119326 | ||||||||
\(45\) | −1.92897e9 | + | 8.64853e8i | −1.55832 | + | 0.698672i | ||||
\(46\) | −2.83329e8 | −0.202826 | ||||||||
\(47\) | −7.83082e8 | − | 1.35634e9i | −0.498045 | − | 0.862640i | 0.501952 | − | 0.864895i | \(-0.332615\pi\) |
−0.999997 | + | 0.00225561i | \(0.999282\pi\) | |||||||
\(48\) | 1.96368e9 | − | 4.20064e8i | 1.11236 | − | 0.237952i | ||||
\(49\) | 2.25588e8 | − | 3.90730e8i | 0.114088 | − | 0.197605i | ||||
\(50\) | −2.28510e9 | + | 3.95791e9i | −1.03412 | + | 1.79114i | ||||
\(51\) | 1.40067e9 | − | 4.32999e9i | 0.568461 | − | 1.75732i | ||||
\(52\) | −2.84280e7 | − | 4.92388e7i | −0.0103688 | − | 0.0179593i | ||||
\(53\) | −2.93265e9 | −0.963260 | −0.481630 | − | 0.876375i | \(-0.659955\pi\) | ||||
−0.481630 | + | 0.876375i | \(0.659955\pi\) | |||||||
\(54\) | 3.33226e9 | + | 1.46806e9i | 0.987583 | + | 0.435089i | ||||
\(55\) | 4.62029e9 | 1.23787 | ||||||||
\(56\) | −1.63207e9 | − | 2.82683e9i | −0.396009 | − | 0.685907i | ||||
\(57\) | −1.22735e9 | + | 3.79419e9i | −0.270183 | + | 0.835232i | ||||
\(58\) | −3.83448e8 | + | 6.64151e8i | −0.0767100 | + | 0.132866i | ||||
\(59\) | −1.02217e8 | + | 1.77044e8i | −0.0186138 | + | 0.0322401i | −0.875182 | − | 0.483793i | \(-0.839259\pi\) |
0.856568 | + | 0.516033i | \(0.172592\pi\) | |||||||
\(60\) | 1.65591e9 | − | 3.54227e8i | 0.274919 | − | 0.0588099i | ||||
\(61\) | 3.00296e9 | + | 5.20127e9i | 0.455234 | + | 0.788489i | 0.998702 | − | 0.0509416i | \(-0.0162222\pi\) |
−0.543467 | + | 0.839430i | \(0.682889\pi\) | |||||||
\(62\) | 5.40811e8 | 0.0749707 | ||||||||
\(63\) | 7.05469e8 | − | 6.88437e9i | 0.0895581 | − | 0.873959i | ||||
\(64\) | 6.74857e9 | 0.785637 | ||||||||
\(65\) | 1.00622e9 | + | 1.74282e9i | 0.107564 | + | 0.186307i | ||||
\(66\) | −5.33293e9 | − | 5.90734e9i | −0.524172 | − | 0.580631i | ||||
\(67\) | −5.16202e9 | + | 8.94088e9i | −0.467098 | + | 0.809038i | −0.999293 | − | 0.0375835i | \(-0.988034\pi\) |
0.532195 | + | 0.846622i | \(0.321367\pi\) | |||||||
\(68\) | −1.82272e9 | + | 3.15705e9i | −0.152027 | + | 0.263319i | ||||
\(69\) | −1.63621e9 | − | 1.81244e9i | −0.125941 | − | 0.139506i | ||||
\(70\) | −1.13839e10 | − | 1.97175e10i | −0.809567 | − | 1.40221i | ||||
\(71\) | 1.82174e10 | 1.19830 | 0.599149 | − | 0.800637i | \(-0.295506\pi\) | ||||
0.599149 | + | 0.800637i | \(0.295506\pi\) | |||||||
\(72\) | 1.19972e10 | + | 8.66888e9i | 0.730721 | + | 0.528000i | ||||
\(73\) | −2.48816e10 | −1.40476 | −0.702379 | − | 0.711803i | \(-0.747879\pi\) | ||||
−0.702379 | + | 0.711803i | \(0.747879\pi\) | |||||||
\(74\) | −9.67092e9 | − | 1.67505e10i | −0.506633 | − | 0.877514i | ||||
\(75\) | −3.85148e10 | + | 8.23897e9i | −1.87409 | + | 0.400900i | ||||
\(76\) | 1.59718e9 | − | 2.76639e9i | 0.0722568 | − | 0.125152i | ||||
\(77\) | −7.56262e9 | + | 1.30988e10i | −0.318400 | + | 0.551485i | ||||
\(78\) | 1.06689e9 | − | 3.29815e9i | 0.0418408 | − | 0.129345i | ||||
\(79\) | 2.27381e10 | + | 3.93835e10i | 0.831389 | + | 1.44001i | 0.896937 | + | 0.442159i | \(0.145787\pi\) |
−0.0655471 | + | 0.997849i | \(0.520879\pi\) | |||||||
\(80\) | 5.69358e10 | 1.94263 | ||||||||
\(81\) | 9.85248e9 | + | 2.97943e10i | 0.313962 | + | 0.949435i | ||||
\(82\) | −3.72391e10 | −1.10923 | ||||||||
\(83\) | −4.70254e9 | − | 8.14504e9i | −0.131040 | − | 0.226967i | 0.793038 | − | 0.609172i | \(-0.208498\pi\) |
−0.924078 | + | 0.382205i | \(0.875165\pi\) | |||||||
\(84\) | −1.70618e9 | + | 5.27443e9i | −0.0445133 | + | 0.137607i | ||||
\(85\) | 6.45157e10 | − | 1.11745e11i | 1.57711 | − | 2.73163i | ||||
\(86\) | 8.42766e9 | − | 1.45971e10i | 0.193181 | − | 0.334600i | ||||
\(87\) | −6.46292e9 | + | 1.38253e9i | −0.139019 | + | 0.0297384i | ||||
\(88\) | −1.61750e10 | − | 2.80159e10i | −0.326730 | − | 0.565913i | ||||
\(89\) | −8.01136e9 | −0.152076 | −0.0760381 | − | 0.997105i | \(-0.524227\pi\) | ||||
−0.0760381 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(90\) | 8.36823e10 | + | 6.04667e10i | 1.49382 | + | 1.07940i | ||||
\(91\) | −6.58802e9 | −0.110669 | ||||||||
\(92\) | 9.77967e8 | + | 1.69389e9i | 0.0154700 | + | 0.0267949i | ||||
\(93\) | 3.12315e9 | + | 3.45955e9i | 0.0465518 | + | 0.0515659i | ||||
\(94\) | −3.82441e10 | + | 6.62408e10i | −0.537479 | + | 0.930941i | ||||
\(95\) | −5.65325e10 | + | 9.79172e10i | −0.749581 | + | 1.29831i | ||||
\(96\) | −1.74557e10 | − | 1.93359e10i | −0.218498 | − | 0.242032i | ||||
\(97\) | −9.77617e9 | − | 1.69328e10i | −0.115591 | − | 0.200210i | 0.802425 | − | 0.596753i | \(-0.203543\pi\) |
−0.918016 | + | 0.396544i | \(0.870210\pi\) | |||||||
\(98\) | −2.20346e10 | −0.246241 | ||||||||
\(99\) | 6.99170e9 | − | 6.82290e10i | 0.0738906 | − | 0.721067i | ||||
\(100\) | 3.15499e10 | 0.315499 | ||||||||
\(101\) | −6.18074e10 | − | 1.07053e11i | −0.585157 | − | 1.01352i | −0.994856 | − | 0.101301i | \(-0.967699\pi\) |
0.409699 | − | 0.912221i | \(-0.365634\pi\) | |||||||
\(102\) | −2.17339e11 | + | 4.64926e10i | −1.94912 | + | 0.416949i | ||||
\(103\) | −5.66660e10 | + | 9.81484e10i | −0.481635 | + | 0.834216i | −0.999778 | − | 0.0210778i | \(-0.993290\pi\) |
0.518143 | + | 0.855294i | \(0.326624\pi\) | |||||||
\(104\) | 7.04525e9 | − | 1.22027e10i | 0.0567823 | − | 0.0983498i | ||||
\(105\) | 6.03908e10 | − | 1.86690e11i | 0.461774 | − | 1.42751i | ||||
\(106\) | 7.16125e10 | + | 1.24036e11i | 0.519764 | + | 0.900258i | ||||
\(107\) | 1.67466e11 | 1.15429 | 0.577145 | − | 0.816642i | \(-0.304167\pi\) | ||||
0.577145 | + | 0.816642i | \(0.304167\pi\) | |||||||
\(108\) | −2.72514e9 | − | 2.49893e10i | −0.0178467 | − | 0.163653i | ||||
\(109\) | 1.79651e11 | 1.11837 | 0.559183 | − | 0.829044i | \(-0.311115\pi\) | ||||
0.559183 | + | 0.829044i | \(0.311115\pi\) | |||||||
\(110\) | −1.12823e11 | − | 1.95415e11i | −0.667939 | − | 1.15690i | ||||
\(111\) | 5.13035e10 | − | 1.58598e11i | 0.288982 | − | 0.893347i | ||||
\(112\) | −9.31941e10 | + | 1.61417e11i | −0.499677 | + | 0.865466i | ||||
\(113\) | −1.69357e11 | + | 2.93335e11i | −0.864714 | + | 1.49773i | 0.00261738 | + | 0.999997i | \(0.499167\pi\) |
−0.867331 | + | 0.497732i | \(0.834166\pi\) | |||||||
\(114\) | 1.90446e11 | − | 4.07395e10i | 0.926391 | − | 0.198171i | ||||
\(115\) | −3.46153e10 | − | 5.99555e10i | −0.160484 | − | 0.277966i | ||||
\(116\) | 5.29418e9 | 0.0234035 | ||||||||
\(117\) | 2.72593e10 | − | 1.22217e10i | 0.114946 | − | 0.0515360i | ||||
\(118\) | 9.98411e9 | 0.0401752 | ||||||||
\(119\) | 2.11202e11 | + | 3.65813e11i | 0.811317 | + | 1.40524i | ||||
\(120\) | 2.81216e11 | + | 3.11506e11i | 1.03168 | + | 1.14280i | ||||
\(121\) | 6.77049e10 | − | 1.17268e11i | 0.237301 | − | 0.411018i | ||||
\(122\) | 1.46658e11 | − | 2.54020e11i | 0.491278 | − | 0.850919i | ||||
\(123\) | −2.15053e11 | − | 2.38217e11i | −0.688760 | − | 0.762947i | ||||
\(124\) | −1.86672e9 | − | 3.23325e9i | −0.00571821 | − | 0.00990422i | ||||
\(125\) | −5.34029e11 | −1.56516 | ||||||||
\(126\) | −3.08401e11 | + | 1.38272e11i | −0.865122 | + | 0.387878i | ||||
\(127\) | 3.87099e11 | 1.03969 | 0.519843 | − | 0.854262i | \(-0.325990\pi\) | ||||
0.519843 | + | 0.854262i | \(0.325990\pi\) | |||||||
\(128\) | −2.28171e11 | − | 3.95203e11i | −0.586955 | − | 1.01664i | ||||
\(129\) | 1.42046e11 | − | 3.03861e10i | 0.350096 | − | 0.0748913i | ||||
\(130\) | 4.91416e10 | − | 8.51157e10i | 0.116081 | − | 0.201058i | ||||
\(131\) | 3.91722e10 | − | 6.78482e10i | 0.0887126 | − | 0.153655i | −0.818255 | − | 0.574856i | \(-0.805058\pi\) |
0.906967 | + | 0.421201i | \(0.138391\pi\) | |||||||
\(132\) | −1.69095e10 | + | 5.22734e10i | −0.0367260 | + | 0.113534i | ||||
\(133\) | −1.85068e11 | − | 3.20547e11i | −0.385609 | − | 0.667895i | ||||
\(134\) | 5.04205e11 | 1.00816 | ||||||||
\(135\) | 9.64570e10 | + | 8.84502e11i | 0.185139 | + | 1.69771i | ||||
\(136\) | −9.03442e11 | −1.66508 | ||||||||
\(137\) | 8.68000e10 | + | 1.50342e11i | 0.153659 | + | 0.266144i | 0.932570 | − | 0.360990i | \(-0.117561\pi\) |
−0.778911 | + | 0.627134i | \(0.784228\pi\) | |||||||
\(138\) | −3.67026e10 | + | 1.13461e11i | −0.0624255 | + | 0.192980i | ||||
\(139\) | 9.25989e10 | − | 1.60386e11i | 0.151365 | − | 0.262171i | −0.780365 | − | 0.625325i | \(-0.784967\pi\) |
0.931729 | + | 0.363153i | \(0.118300\pi\) | |||||||
\(140\) | −7.85878e10 | + | 1.36118e11i | −0.123495 | + | 0.213900i | ||||
\(141\) | −6.44596e11 | + | 1.37890e11i | −0.974053 | + | 0.208366i | ||||
\(142\) | −4.44850e11 | − | 7.70503e11i | −0.646588 | − | 1.11992i | ||||
\(143\) | −6.52920e10 | −0.0913086 | ||||||||
\(144\) | 8.61587e10 | − | 8.40786e11i | 0.115959 | − | 1.13160i | ||||
\(145\) | −1.87389e11 | −0.242784 | ||||||||
\(146\) | 6.07582e11 | + | 1.05236e12i | 0.757992 | + | 1.31288i | ||||
\(147\) | −1.27248e11 | − | 1.40954e11i | −0.152899 | − | 0.169368i | ||||
\(148\) | −6.67623e10 | + | 1.15636e11i | −0.0772844 | + | 0.133860i | ||||
\(149\) | 5.47892e11 | − | 9.48977e11i | 0.611182 | − | 1.05860i | −0.379859 | − | 0.925044i | \(-0.624028\pi\) |
0.991041 | − | 0.133554i | \(-0.0426391\pi\) | |||||||
\(150\) | 1.28896e12 | + | 1.42780e12i | 1.38592 | + | 1.53520i | ||||
\(151\) | 7.21382e11 | + | 1.24947e12i | 0.747811 | + | 1.29525i | 0.948870 | + | 0.315668i | \(0.102229\pi\) |
−0.201058 | + | 0.979579i | \(0.564438\pi\) | |||||||
\(152\) | 7.91649e11 | 0.791394 | ||||||||
\(153\) | −1.55253e12 | − | 1.12182e12i | −1.49705 | − | 1.08173i | ||||
\(154\) | 7.38686e11 | 0.687220 | ||||||||
\(155\) | 6.60730e10 | + | 1.14442e11i | 0.0593198 | + | 0.102745i | ||||
\(156\) | −2.34006e10 | + | 5.00579e9i | −0.0202788 | + | 0.00433798i | ||||
\(157\) | −1.29889e11 | + | 2.24975e11i | −0.108674 | + | 0.188229i | −0.915233 | − | 0.402924i | \(-0.867994\pi\) |
0.806559 | + | 0.591153i | \(0.201327\pi\) | |||||||
\(158\) | 1.11048e12 | − | 1.92341e12i | 0.897216 | − | 1.55402i | ||||
\(159\) | −3.79898e11 | + | 1.17440e12i | −0.296472 | + | 0.916501i | ||||
\(160\) | −3.69291e11 | − | 6.39632e11i | −0.278426 | − | 0.482248i | ||||
\(161\) | 2.26638e11 | 0.165116 | ||||||||
\(162\) | 1.01956e12 | − | 1.14426e12i | 0.717927 | − | 0.805732i | ||||
\(163\) | −5.90034e11 | −0.401648 | −0.200824 | − | 0.979627i | \(-0.564362\pi\) | ||||
−0.200824 | + | 0.979627i | \(0.564362\pi\) | |||||||
\(164\) | 1.28538e11 | + | 2.22635e11i | 0.0846040 | + | 0.146538i | ||||
\(165\) | 5.98516e11 | − | 1.85023e12i | 0.380990 | − | 1.17778i | ||||
\(166\) | −2.29662e11 | + | 3.97787e11i | −0.141415 | + | 0.244938i | ||||
\(167\) | −1.23943e12 | + | 2.14675e12i | −0.738380 | + | 1.27891i | 0.214844 | + | 0.976648i | \(0.431076\pi\) |
−0.953224 | + | 0.302264i | \(0.902258\pi\) | |||||||
\(168\) | −1.34344e12 | + | 2.87385e11i | −0.774495 | + | 0.165677i | ||||
\(169\) | 8.81861e11 | + | 1.52743e12i | 0.492066 | + | 0.852283i | ||||
\(170\) | −6.30164e12 | −3.40396 | ||||||||
\(171\) | 1.36042e12 | + | 9.83004e11i | 0.711532 | + | 0.514135i | ||||
\(172\) | −1.16359e11 | −0.0589378 | ||||||||
\(173\) | 7.38894e10 | + | 1.27980e11i | 0.0362517 | + | 0.0627898i | 0.883582 | − | 0.468276i | \(-0.155125\pi\) |
−0.847330 | + | 0.531066i | \(0.821792\pi\) | |||||||
\(174\) | 2.16292e11 | + | 2.39589e11i | 0.102806 | + | 0.113880i | ||||
\(175\) | 1.82787e12 | − | 3.16597e12i | 0.841854 | − | 1.45813i | ||||
\(176\) | −9.23620e11 | + | 1.59976e12i | −0.412262 | + | 0.714059i | ||||
\(177\) | 5.76575e10 | + | 6.38679e10i | 0.0249461 | + | 0.0276331i | ||||
\(178\) | 1.95629e11 | + | 3.38840e11i | 0.0820586 | + | 0.142130i | ||||
\(179\) | −7.35992e11 | −0.299352 | −0.149676 | − | 0.988735i | \(-0.547823\pi\) | ||||
−0.149676 | + | 0.988735i | \(0.547823\pi\) | |||||||
\(180\) | 7.26550e10 | − | 7.09009e11i | 0.0286594 | − | 0.279675i | ||||
\(181\) | −2.36367e12 | −0.904387 | −0.452193 | − | 0.891920i | \(-0.649358\pi\) | ||||
−0.452193 | + | 0.891920i | \(0.649358\pi\) | |||||||
\(182\) | 1.60873e11 | + | 2.78640e11i | 0.0597159 | + | 0.103431i | ||||
\(183\) | 2.47189e12 | − | 5.28780e11i | 0.890325 | − | 0.190456i | ||||
\(184\) | −2.42367e11 | + | 4.19792e11i | −0.0847179 | + | 0.146736i | ||||
\(185\) | 2.36307e12 | − | 4.09295e12i | 0.801736 | − | 1.38865i | ||||
\(186\) | 7.00571e10 | − | 2.16572e11i | 0.0230744 | − | 0.0713315i | ||||
\(187\) | 2.09317e12 | + | 3.62547e12i | 0.669383 | + | 1.15941i | ||||
\(188\) | 5.28029e11 | 0.163980 | ||||||||
\(189\) | −2.66551e12 | − | 1.17432e12i | −0.803971 | − | 0.354197i | ||||
\(190\) | 5.52187e12 | 1.61786 | ||||||||
\(191\) | −9.33985e11 | − | 1.61771e12i | −0.265862 | − | 0.460487i | 0.701927 | − | 0.712249i | \(-0.252323\pi\) |
−0.967789 | + | 0.251762i | \(0.918990\pi\) | |||||||
\(192\) | 8.74214e11 | − | 2.70251e12i | 0.241803 | − | 0.747500i | ||||
\(193\) | −2.98550e11 | + | 5.17103e11i | −0.0802511 | + | 0.138999i | −0.903358 | − | 0.428888i | \(-0.858906\pi\) |
0.823107 | + | 0.567887i | \(0.192239\pi\) | |||||||
\(194\) | −4.77449e11 | + | 8.26965e11i | −0.124743 | + | 0.216062i | ||||
\(195\) | 8.28271e11 | − | 1.77181e11i | 0.210369 | − | 0.0450015i | ||||
\(196\) | 7.60567e10 | + | 1.31734e11i | 0.0187814 | + | 0.0325304i | ||||
\(197\) | 1.36891e12 | 0.328709 | 0.164355 | − | 0.986401i | \(-0.447446\pi\) | ||||
0.164355 | + | 0.986401i | \(0.447446\pi\) | |||||||
\(198\) | −3.05647e12 | + | 1.37037e12i | −0.713776 | + | 0.320022i | ||||
\(199\) | −2.25893e12 | −0.513111 | −0.256556 | − | 0.966529i | \(-0.582588\pi\) | ||||
−0.256556 | + | 0.966529i | \(0.582588\pi\) | |||||||
\(200\) | 3.90947e12 | + | 6.77139e12i | 0.863878 | + | 1.49628i | ||||
\(201\) | 2.91175e12 | + | 3.22538e12i | 0.626003 | + | 0.693430i | ||||
\(202\) | −3.01855e12 | + | 5.22828e12i | −0.631488 | + | 1.09377i | ||||
\(203\) | 3.06723e11 | − | 5.31260e11i | 0.0624480 | − | 0.108163i | ||||
\(204\) | 1.02815e12 | + | 1.13889e12i | 0.203746 | + | 0.225692i | ||||
\(205\) | −4.54964e12 | − | 7.88020e12i | −0.877669 | − | 1.52017i | ||||
\(206\) | 5.53491e12 | 1.03954 | ||||||||
\(207\) | −9.37761e11 | + | 4.20446e11i | −0.171497 | + | 0.0768905i | ||||
\(208\) | −8.04592e11 | −0.143294 | ||||||||
\(209\) | −1.83416e12 | − | 3.17685e12i | −0.318150 | − | 0.551052i | ||||
\(210\) | −9.37071e12 | + | 2.00455e12i | −1.58331 | + | 0.338697i | ||||
\(211\) | −6.57716e11 | + | 1.13920e12i | −0.108264 | + | 0.187519i | −0.915067 | − | 0.403302i | \(-0.867863\pi\) |
0.806803 | + | 0.590821i | \(0.201196\pi\) | |||||||
\(212\) | 4.94370e11 | − | 8.56273e11i | 0.0792875 | − | 0.137330i | ||||
\(213\) | 2.35989e12 | − | 7.29529e12i | 0.368812 | − | 1.14013i | ||||
\(214\) | −4.08934e12 | − | 7.08294e12i | −0.622841 | − | 1.07879i | ||||
\(215\) | 4.11855e12 | 0.611411 | ||||||||
\(216\) | 5.02564e12 | − | 3.68140e12i | 0.727271 | − | 0.532743i | ||||
\(217\) | −4.32600e11 | −0.0610321 | ||||||||
\(218\) | −4.38690e12 | − | 7.59833e12i | −0.603458 | − | 1.04522i | ||||
\(219\) | −3.22317e12 | + | 9.96401e12i | −0.432356 | + | 1.33657i | ||||
\(220\) | −7.78861e11 | + | 1.34903e12i | −0.101891 | + | 0.176480i | ||||
\(221\) | −9.11709e11 | + | 1.57913e12i | −0.116332 | + | 0.201493i | ||||
\(222\) | −7.96065e12 | + | 1.70292e12i | −0.990849 | + | 0.211959i | ||||
\(223\) | −3.06680e12 | − | 5.31185e12i | −0.372399 | − | 0.645014i | 0.617535 | − | 0.786543i | \(-0.288131\pi\) |
−0.989934 | + | 0.141529i | \(0.954798\pi\) | |||||||
\(224\) | 2.41787e12 | 0.286463 | ||||||||
\(225\) | −1.68988e12 | + | 1.64908e13i | −0.195368 | + | 1.90651i | ||||
\(226\) | 1.65421e13 | 1.86636 | ||||||||
\(227\) | 1.64481e12 | + | 2.84890e12i | 0.181123 | + | 0.313715i | 0.942263 | − | 0.334873i | \(-0.108693\pi\) |
−0.761140 | + | 0.648588i | \(0.775360\pi\) | |||||||
\(228\) | −9.00924e11 | − | 9.97963e11i | −0.0968381 | − | 0.107269i | ||||
\(229\) | −4.15706e11 | + | 7.20024e11i | −0.0436205 | + | 0.0755530i | −0.887011 | − | 0.461748i | \(-0.847223\pi\) |
0.843391 | + | 0.537301i | \(0.180556\pi\) | |||||||
\(230\) | −1.69054e12 | + | 2.92811e12i | −0.173190 | + | 0.299974i | ||||
\(231\) | 4.26586e12 | + | 4.72534e12i | 0.426718 | + | 0.472680i | ||||
\(232\) | 6.56022e11 | + | 1.13626e12i | 0.0640818 | + | 0.110993i | ||||
\(233\) | −1.06965e12 | −0.102043 | −0.0510216 | − | 0.998698i | \(-0.516248\pi\) | ||||
−0.0510216 | + | 0.998698i | \(0.516248\pi\) | |||||||
\(234\) | −1.18256e12 | − | 8.54489e11i | −0.110189 | − | 0.0796195i | ||||
\(235\) | −1.86897e13 | −1.70110 | ||||||||
\(236\) | −3.44622e10 | − | 5.96902e10i | −0.00306427 | − | 0.00530746i | ||||
\(237\) | 1.87169e13 | − | 4.00386e12i | 1.62599 | − | 0.347827i | ||||
\(238\) | 1.03147e13 | − | 1.78656e13i | 0.875555 | − | 1.51650i | ||||
\(239\) | −5.03008e12 | + | 8.71235e12i | −0.417240 | + | 0.722681i | −0.995661 | − | 0.0930575i | \(-0.970336\pi\) |
0.578421 | + | 0.815739i | \(0.303669\pi\) | |||||||
\(240\) | 7.37550e12 | − | 2.28004e13i | 0.597902 | − | 1.84833i | ||||
\(241\) | 5.00909e12 | + | 8.67599e12i | 0.396885 | + | 0.687425i | 0.993340 | − | 0.115222i | \(-0.0367578\pi\) |
−0.596455 | + | 0.802647i | \(0.703425\pi\) | |||||||
\(242\) | −6.61314e12 | −0.512181 | ||||||||
\(243\) | 1.32076e13 | − | 8.59238e10i | 0.999979 | − | 0.00650548i | ||||
\(244\) | −2.02488e12 | −0.149884 | ||||||||
\(245\) | −2.69204e12 | − | 4.66276e12i | −0.194836 | − | 0.337465i | ||||
\(246\) | −4.82398e12 | + | 1.49127e13i | −0.341399 | + | 1.05539i | ||||
\(247\) | 7.98893e11 | − | 1.38372e12i | 0.0552911 | − | 0.0957671i | ||||
\(248\) | 4.62624e11 | − | 8.01288e11i | 0.0313144 | − | 0.0542381i | ||||
\(249\) | −3.87091e12 | + | 8.28053e11i | −0.256281 | + | 0.0548229i | ||||
\(250\) | 1.30405e13 | + | 2.25867e13i | 0.844545 | + | 1.46279i | ||||
\(251\) | 2.59231e13 | 1.64241 | 0.821206 | − | 0.570632i | \(-0.193302\pi\) | ||||
0.821206 | + | 0.570632i | \(0.193302\pi\) | |||||||
\(252\) | 1.89117e12 | + | 1.36651e12i | 0.117227 | + | 0.0847050i | ||||
\(253\) | 2.24614e12 | 0.136230 | ||||||||
\(254\) | −9.45258e12 | − | 1.63723e13i | −0.561003 | − | 0.971685i | ||||
\(255\) | −3.63915e13 | − | 4.03113e13i | −2.11363 | − | 2.34129i | ||||
\(256\) | −4.23285e12 | + | 7.33152e12i | −0.240610 | + | 0.416748i | ||||
\(257\) | −9.87173e12 | + | 1.70983e13i | −0.549238 | + | 0.951309i | 0.449089 | + | 0.893487i | \(0.351749\pi\) |
−0.998327 | + | 0.0578215i | \(0.981585\pi\) | |||||||
\(258\) | −4.75381e12 | − | 5.26584e12i | −0.258901 | − | 0.286787i | ||||
\(259\) | 7.73586e12 | + | 1.33989e13i | 0.412439 | + | 0.714366i | ||||
\(260\) | −6.78488e11 | −0.0354151 | ||||||||
\(261\) | −2.83568e11 | + | 2.76722e12i | −0.0144922 | + | 0.141423i | ||||
\(262\) | −3.82618e12 | −0.191473 | ||||||||
\(263\) | −1.50134e13 | − | 2.60040e13i | −0.735737 | − | 1.27433i | −0.954399 | − | 0.298533i | \(-0.903503\pi\) |
0.218663 | − | 0.975801i | \(-0.429831\pi\) | |||||||
\(264\) | −1.33145e13 | + | 2.84819e12i | −0.639003 | + | 0.136693i | ||||
\(265\) | −1.74983e13 | + | 3.03080e13i | −0.822516 | + | 1.42464i | ||||
\(266\) | −9.03835e12 | + | 1.56549e13i | −0.416140 | + | 0.720776i | ||||
\(267\) | −1.03780e12 | + | 3.20821e12i | −0.0468059 | + | 0.144694i | ||||
\(268\) | −1.74037e12 | − | 3.01440e12i | −0.0768952 | − | 0.133186i | ||||
\(269\) | −2.77597e13 | −1.20165 | −0.600824 | − | 0.799381i | \(-0.705161\pi\) | ||||
−0.600824 | + | 0.799381i | \(0.705161\pi\) | |||||||
\(270\) | 3.50546e13 | − | 2.56783e13i | 1.48677 | − | 1.08909i | ||||
\(271\) | 1.40188e13 | 0.582613 | 0.291307 | − | 0.956630i | \(-0.405910\pi\) | ||||
0.291307 | + | 0.956630i | \(0.405910\pi\) | |||||||
\(272\) | 2.57941e13 | + | 4.46767e13i | 1.05049 | + | 1.81950i | ||||
\(273\) | −8.53416e11 | + | 2.63822e12i | −0.0340617 | + | 0.105297i | ||||
\(274\) | 4.23914e12 | − | 7.34240e12i | 0.165825 | − | 0.287217i | ||||
\(275\) | 1.81155e13 | − | 3.13770e13i | 0.694578 | − | 1.20304i | ||||
\(276\) | 8.05017e11 | − | 1.72207e11i | 0.0302555 | − | 0.00647217i | ||||
\(277\) | −1.30502e13 | − | 2.26036e13i | −0.480814 | − | 0.832795i | 0.518943 | − | 0.854809i | \(-0.326326\pi\) |
−0.999758 | + | 0.0220137i | \(0.992992\pi\) | |||||||
\(278\) | −9.04469e12 | −0.326699 | ||||||||
\(279\) | 1.78998e12 | − | 8.02536e11i | 0.0633905 | − | 0.0284211i | ||||
\(280\) | −3.89524e13 | −1.35259 | ||||||||
\(281\) | −6.42759e12 | − | 1.11329e13i | −0.218859 | − | 0.379074i | 0.735601 | − | 0.677415i | \(-0.236900\pi\) |
−0.954459 | + | 0.298341i | \(0.903567\pi\) | |||||||
\(282\) | 2.15724e13 | + | 2.38960e13i | 0.720326 | + | 0.797913i | ||||
\(283\) | 2.50784e13 | − | 4.34371e13i | 0.821249 | − | 1.42245i | −0.0835031 | − | 0.996508i | \(-0.526611\pi\) |
0.904752 | − | 0.425938i | \(-0.140056\pi\) | |||||||
\(284\) | −3.07098e12 | + | 5.31909e12i | −0.0986339 | + | 0.170839i | ||||
\(285\) | 3.18884e13 | + | 3.53231e13i | 1.00458 | + | 1.11279i | ||||
\(286\) | 1.59436e12 | + | 2.76152e12i | 0.0492690 | + | 0.0853365i | ||||
\(287\) | 2.97879e13 | 0.903004 | ||||||||
\(288\) | −1.00044e13 | + | 4.48549e12i | −0.297532 | + | 0.133399i | ||||
\(289\) | 8.26404e13 | 2.41132 | ||||||||
\(290\) | 4.57585e12 | + | 7.92560e12i | 0.131003 | + | 0.226904i | ||||
\(291\) | −8.04729e12 | + | 1.72145e12i | −0.226068 | + | 0.0483597i | ||||
\(292\) | 4.19439e12 | − | 7.26489e12i | 0.115628 | − | 0.200273i | ||||
\(293\) | −4.82656e12 | + | 8.35985e12i | −0.130577 | + | 0.226166i | −0.923899 | − | 0.382636i | \(-0.875016\pi\) |
0.793322 | + | 0.608802i | \(0.208350\pi\) | |||||||
\(294\) | −2.85437e12 | + | 8.82390e12i | −0.0757880 | + | 0.234288i | ||||
\(295\) | 1.21980e12 | + | 2.11275e12i | 0.0317882 | + | 0.0550588i | ||||
\(296\) | −3.30910e13 | −0.846459 | ||||||||
\(297\) | −2.64171e13 | − | 1.16383e13i | −0.663323 | − | 0.292233i | ||||
\(298\) | −5.35159e13 | −1.31915 | ||||||||
\(299\) | 4.89169e11 | + | 8.47266e11i | 0.0118377 | + | 0.0205035i | ||||
\(300\) | 4.08700e12 | − | 1.26344e13i | 0.0971041 | − | 0.300184i | ||||
\(301\) | −6.74137e12 | + | 1.16764e13i | −0.157265 | + | 0.272391i | ||||
\(302\) | 3.52308e13 | − | 6.10216e13i | 0.807021 | − | 1.39780i | ||||
\(303\) | −5.08769e13 | + | 1.08834e13i | −1.14442 | + | 0.244811i | ||||
\(304\) | −2.26023e13 | − | 3.91483e13i | −0.499284 | − | 0.864786i | ||||
\(305\) | 7.16712e13 | 1.55487 | ||||||||
\(306\) | −9.53602e12 | + | 9.30579e13i | −0.203188 | + | 1.98283i | ||||
\(307\) | −5.76432e13 | −1.20639 | −0.603194 | − | 0.797595i | \(-0.706105\pi\) | ||||
−0.603194 | + | 0.797595i | \(0.706105\pi\) | |||||||
\(308\) | −2.54972e12 | − | 4.41625e12i | −0.0524160 | − | 0.0907872i | ||||
\(309\) | 3.19637e13 | + | 3.54066e13i | 0.645484 | + | 0.715010i | ||||
\(310\) | 3.22687e12 | − | 5.58910e12i | 0.0640165 | − | 0.110880i | ||||
\(311\) | −3.77231e13 | + | 6.53384e13i | −0.735234 | + | 1.27346i | 0.219387 | + | 0.975638i | \(0.429594\pi\) |
−0.954621 | + | 0.297825i | \(0.903739\pi\) | |||||||
\(312\) | −3.97403e12 | − | 4.40207e12i | −0.0760993 | − | 0.0842960i | ||||
\(313\) | −1.85914e12 | − | 3.22013e12i | −0.0349800 | − | 0.0605871i | 0.848005 | − | 0.529988i | \(-0.177803\pi\) |
−0.882985 | + | 0.469400i | \(0.844470\pi\) | |||||||
\(314\) | 1.26871e13 | 0.234557 | ||||||||
\(315\) | −6.69383e13 | − | 4.83679e13i | −1.21609 | − | 0.878717i | ||||
\(316\) | −1.53322e13 | −0.273732 | ||||||||
\(317\) | 1.79797e13 | + | 3.11417e13i | 0.315468 | + | 0.546407i | 0.979537 | − | 0.201265i | \(-0.0645051\pi\) |
−0.664069 | + | 0.747672i | \(0.731172\pi\) | |||||||
\(318\) | 5.89480e13 | − | 1.26100e13i | 1.01653 | − | 0.217453i | ||||
\(319\) | 3.03985e12 | − | 5.26517e12i | 0.0515232 | − | 0.0892408i | ||||
\(320\) | 4.02668e13 | − | 6.97441e13i | 0.670845 | − | 1.16194i | ||||
\(321\) | 2.16936e13 | − | 6.70628e13i | 0.355266 | − | 1.09826i | ||||
\(322\) | −5.53426e12 | − | 9.58562e12i | −0.0890948 | − | 0.154317i | ||||
\(323\) | −1.02445e14 | −1.62136 | ||||||||
\(324\) | −1.03602e13 | − | 2.14583e12i | −0.161202 | − | 0.0333886i | ||||
\(325\) | 1.57810e13 | 0.241421 | ||||||||
\(326\) | 1.44080e13 | + | 2.49554e13i | 0.216724 | + | 0.375378i | ||||
\(327\) | 2.32721e13 | − | 7.19426e13i | 0.344210 | − | 1.06408i | ||||
\(328\) | −3.18553e13 | + | 5.51750e13i | −0.463314 | + | 0.802483i | ||||
\(329\) | 3.05918e13 | − | 5.29866e13i | 0.437551 | − | 0.757860i | ||||
\(330\) | −9.28705e13 | + | 1.98666e13i | −1.30632 | + | 0.279445i | ||||
\(331\) | −1.02013e13 | − | 1.76692e13i | −0.141124 | − | 0.244435i | 0.786796 | − | 0.617213i | \(-0.211738\pi\) |
−0.927920 | + | 0.372779i | \(0.878405\pi\) | |||||||
\(332\) | 3.17090e12 | 0.0431443 | ||||||||
\(333\) | −5.68657e13 | − | 4.10897e13i | −0.761040 | − | 0.549908i | ||||
\(334\) | 1.21062e14 | 1.59369 | ||||||||
\(335\) | 6.16007e13 | + | 1.06695e14i | 0.797699 | + | 1.38165i | ||||
\(336\) | 5.25682e13 | + | 5.82303e13i | 0.669664 | + | 0.741794i | ||||
\(337\) | −7.45088e13 | + | 1.29053e14i | −0.933777 | + | 1.61735i | −0.156976 | + | 0.987602i | \(0.550175\pi\) |
−0.776801 | + | 0.629746i | \(0.783159\pi\) | |||||||
\(338\) | 4.30683e13 | − | 7.45965e13i | 0.531026 | − | 0.919764i | ||||
\(339\) | 9.55297e13 | + | 1.05819e14i | 1.15888 | + | 1.28371i | ||||
\(340\) | 2.17514e13 | + | 3.76745e13i | 0.259629 | + | 0.449690i | ||||
\(341\) | −4.28738e12 | −0.0503550 | ||||||||
\(342\) | 8.35602e12 | − | 8.15428e13i | 0.0965730 | − | 0.942415i | ||||
\(343\) | 9.48718e13 | 1.07900 | ||||||||
\(344\) | −1.44185e13 | − | 2.49735e13i | −0.161379 | − | 0.279517i | ||||
\(345\) | −2.84937e13 | + | 6.09529e12i | −0.313866 | + | 0.0671413i | ||||
\(346\) | 3.60861e12 | − | 6.25029e12i | 0.0391220 | − | 0.0677613i | ||||
\(347\) | −4.94328e13 | + | 8.56202e13i | −0.527477 | + | 0.913617i | 0.472010 | + | 0.881593i | \(0.343528\pi\) |
−0.999487 | + | 0.0320235i | \(0.989805\pi\) | |||||||
\(348\) | 6.85813e11 | − | 2.12010e12i | 0.00720310 | − | 0.0222674i | ||||
\(349\) | 1.17596e13 | + | 2.03682e13i | 0.121577 | + | 0.210578i | 0.920390 | − | 0.391002i | \(-0.127871\pi\) |
−0.798813 | + | 0.601580i | \(0.794538\pi\) | |||||||
\(350\) | −1.78539e14 | −1.81702 | ||||||||
\(351\) | −1.36309e12 | − | 1.24994e13i | −0.0136564 | − | 0.125228i | ||||
\(352\) | 2.39628e13 | 0.236348 | ||||||||
\(353\) | −7.32821e13 | − | 1.26928e14i | −0.711602 | − | 1.23253i | −0.964256 | − | 0.264974i | \(-0.914637\pi\) |
0.252654 | − | 0.967557i | \(-0.418697\pi\) | |||||||
\(354\) | 1.29335e12 | − | 3.99821e12i | 0.0123651 | − | 0.0382250i | ||||
\(355\) | 1.08698e14 | − | 1.88270e14i | 1.02321 | − | 1.77226i | ||||
\(356\) | 1.35051e12 | − | 2.33915e12i | 0.0125176 | − | 0.0216812i | ||||
\(357\) | 1.73852e14 | − | 3.71899e13i | 1.58673 | − | 0.339429i | ||||
\(358\) | 1.79722e13 | + | 3.11287e13i | 0.161527 | + | 0.279772i | ||||
\(359\) | −7.35347e13 | −0.650838 | −0.325419 | − | 0.945570i | \(-0.605505\pi\) | ||||
−0.325419 | + | 0.945570i | \(0.605505\pi\) | |||||||
\(360\) | 1.61174e14 | − | 7.22624e13i | 1.40485 | − | 0.629866i | ||||
\(361\) | −2.67215e13 | −0.229388 | ||||||||
\(362\) | 5.77184e13 | + | 9.99711e13i | 0.487997 | + | 0.845235i | ||||
\(363\) | −3.81904e13 | − | 4.23039e13i | −0.318030 | − | 0.352285i | ||||
\(364\) | 1.11057e12 | − | 1.92356e12i | 0.00910936 | − | 0.0157779i | ||||
\(365\) | −1.48461e14 | + | 2.57142e14i | −1.19951 | + | 2.07760i | ||||
\(366\) | −8.27258e13 | − | 9.16363e13i | −0.658408 | − | 0.729326i | ||||
\(367\) | −5.17343e13 | − | 8.96064e13i | −0.405616 | − | 0.702548i | 0.588777 | − | 0.808296i | \(-0.299610\pi\) |
−0.994393 | + | 0.105748i | \(0.966276\pi\) | |||||||
\(368\) | 2.76792e13 | 0.213791 | ||||||||
\(369\) | −1.23254e14 | + | 5.52609e13i | −0.937897 | + | 0.420507i | ||||
\(370\) | −2.30815e14 | −1.73043 | ||||||||
\(371\) | −5.72835e13 | − | 9.92179e13i | −0.423129 | − | 0.732881i | ||||
\(372\) | −1.53660e12 | + | 3.28704e11i | −0.0111834 | + | 0.00239232i | ||||
\(373\) | −3.05717e13 | + | 5.29517e13i | −0.219240 | + | 0.379736i | −0.954576 | − | 0.297968i | \(-0.903691\pi\) |
0.735336 | + | 0.677703i | \(0.237025\pi\) | |||||||
\(374\) | 1.02226e14 | − | 1.77061e14i | 0.722383 | − | 1.25120i | ||||
\(375\) | −6.91785e13 | + | 2.13856e14i | −0.481725 | + | 1.48919i | ||||
\(376\) | 6.54300e13 | + | 1.13328e14i | 0.448998 | + | 0.777687i | ||||
\(377\) | 2.64810e12 | 0.0179084 | ||||||||
\(378\) | 1.54214e13 | + | 1.41413e14i | 0.102783 | + | 0.942508i | ||||
\(379\) | 9.50780e13 | 0.624546 | 0.312273 | − | 0.949992i | \(-0.398910\pi\) | ||||
0.312273 | + | 0.949992i | \(0.398910\pi\) | |||||||
\(380\) | −1.90598e13 | − | 3.30126e13i | −0.123398 | − | 0.213732i | ||||
\(381\) | 5.01451e13 | − | 1.55017e14i | 0.319994 | − | 0.989217i | ||||
\(382\) | −4.56140e13 | + | 7.90057e13i | −0.286912 | + | 0.496947i | ||||
\(383\) | 4.00068e13 | − | 6.92938e13i | 0.248051 | − | 0.429637i | −0.714934 | − | 0.699192i | \(-0.753543\pi\) |
0.962985 | + | 0.269555i | \(0.0868767\pi\) | |||||||
\(384\) | −1.87819e14 | + | 4.01777e13i | −1.14794 | + | 0.245563i | ||||
\(385\) | 9.02480e13 | + | 1.56314e14i | 0.543756 | + | 0.941812i | ||||
\(386\) | 2.91611e13 | 0.173210 | ||||||||
\(387\) | 6.23244e12 | − | 6.08198e13i | 0.0364962 | − | 0.356151i | ||||
\(388\) | 6.59204e12 | 0.0380579 | ||||||||
\(389\) | 2.64753e13 | + | 4.58565e13i | 0.150701 | + | 0.261023i | 0.931486 | − | 0.363778i | \(-0.118513\pi\) |
−0.780784 | + | 0.624801i | \(0.785180\pi\) | |||||||
\(390\) | −2.77194e13 | − | 3.07051e13i | −0.155571 | − | 0.172328i | ||||
\(391\) | 3.13641e13 | − | 5.43243e13i | 0.173565 | − | 0.300623i | ||||
\(392\) | −1.88489e13 | + | 3.26473e13i | −0.102852 | + | 0.178145i | ||||
\(393\) | −2.20959e13 | − | 2.44759e13i | −0.118892 | − | 0.131698i | ||||
\(394\) | −3.34275e13 | − | 5.78981e13i | −0.177368 | − | 0.307210i | ||||
\(395\) | 5.42687e14 | 2.83965 | ||||||||
\(396\) | 1.87428e13 | + | 1.35431e13i | 0.0967189 | + | 0.0698866i | ||||
\(397\) | −3.60571e14 | −1.83503 | −0.917515 | − | 0.397702i | \(-0.869808\pi\) | ||||
−0.917515 | + | 0.397702i | \(0.869808\pi\) | |||||||
\(398\) | 5.51609e13 | + | 9.55414e13i | 0.276869 | + | 0.479551i | ||||
\(399\) | −1.52339e14 | + | 3.25880e13i | −0.754156 | + | 0.161327i | ||||
\(400\) | 2.23238e14 | − | 3.86659e14i | 1.09003 | − | 1.88798i | ||||
\(401\) | 1.98363e14 | − | 3.43574e14i | 0.955358 | − | 1.65473i | 0.221811 | − | 0.975090i | \(-0.428803\pi\) |
0.733547 | − | 0.679639i | \(-0.237864\pi\) | |||||||
\(402\) | 6.53151e13 | − | 2.01913e14i | 0.310292 | − | 0.959225i | ||||
\(403\) | −9.33715e11 | − | 1.61724e12i | −0.00437559 | − | 0.00757874i | ||||
\(404\) | 4.16765e13 | 0.192661 | ||||||||
\(405\) | 3.66701e14 | + | 7.59522e13i | 1.67228 | + | 0.346368i | ||||
\(406\) | −2.99595e13 | −0.134785 | ||||||||
\(407\) | 7.66679e13 | + | 1.32793e14i | 0.340286 | + | 0.589393i | ||||
\(408\) | −1.17033e14 | + | 3.61790e14i | −0.512478 | + | 1.58426i | ||||
\(409\) | −5.93000e12 | + | 1.02711e13i | −0.0256198 | + | 0.0443749i | −0.878551 | − | 0.477648i | \(-0.841489\pi\) |
0.852931 | + | 0.522023i | \(0.174823\pi\) | |||||||
\(410\) | −2.22195e14 | + | 3.84853e14i | −0.947160 | + | 1.64053i | ||||
\(411\) | 7.14497e13 | − | 1.52843e13i | 0.300518 | − | 0.0642859i | ||||
\(412\) | −1.91049e13 | − | 3.30906e13i | −0.0792883 | − | 0.137331i | ||||
\(413\) | −7.98639e12 | −0.0327058 | ||||||||
\(414\) | 4.06819e13 | + | 2.93957e13i | 0.164399 | + | 0.118791i | ||||
\(415\) | −1.12235e14 | −0.447572 | ||||||||
\(416\) | 5.21867e12 | + | 9.03900e12i | 0.0205375 | + | 0.0355719i | ||||
\(417\) | −5.22325e13 | − | 5.78585e13i | −0.202858 | − | 0.224708i | ||||
\(418\) | −8.95765e13 | + | 1.55151e14i | −0.343340 | + | 0.594682i | ||||
\(419\) | −9.13172e13 | + | 1.58166e14i | −0.345442 | + | 0.598324i | −0.985434 | − | 0.170058i | \(-0.945604\pi\) |
0.639992 | + | 0.768382i | \(0.278938\pi\) | |||||||
\(420\) | 4.43292e13 | + | 4.91039e13i | 0.165508 | + | 0.183335i | ||||
\(421\) | −1.30656e14 | − | 2.26303e14i | −0.481479 | − | 0.833947i | 0.518295 | − | 0.855202i | \(-0.326567\pi\) |
−0.999774 | + | 0.0212553i | \(0.993234\pi\) | |||||||
\(422\) | 6.42430e13 | 0.233673 | ||||||||
\(423\) | −2.82824e13 | + | 2.75996e14i | −0.101542 | + | 0.990902i | ||||
\(424\) | 2.45037e14 | 0.868398 | ||||||||
\(425\) | −5.05915e14 | − | 8.76270e14i | −1.76986 | − | 3.06548i | ||||
\(426\) | −3.66180e14 | + | 7.83321e13i | −1.26457 | + | 0.270512i | ||||
\(427\) | −1.17313e14 | + | 2.03193e14i | −0.399939 | + | 0.692715i | ||||
\(428\) | −2.82304e13 | + | 4.88964e13i | −0.0950114 | + | 0.164565i | ||||
\(429\) | −8.45797e12 | + | 2.61467e13i | −0.0281029 | + | 0.0868762i | ||||
\(430\) | −1.00571e14 | − | 1.74194e14i | −0.329910 | − | 0.571422i | ||||
\(431\) | 1.15962e14 | 0.375569 | 0.187785 | − | 0.982210i | \(-0.439869\pi\) | ||||
0.187785 | + | 0.982210i | \(0.439869\pi\) | |||||||
\(432\) | −3.25538e14 | − | 1.43419e14i | −1.04098 | − | 0.458612i | ||||
\(433\) | 3.88342e14 | 1.22611 | 0.613057 | − | 0.790039i | \(-0.289940\pi\) | ||||
0.613057 | + | 0.790039i | \(0.289940\pi\) | |||||||
\(434\) | 1.05637e13 | + | 1.82968e13i | 0.0329322 | + | 0.0570403i | ||||
\(435\) | −2.42745e13 | + | 7.50413e13i | −0.0747238 | + | 0.230999i | ||||
\(436\) | −3.02845e13 | + | 5.24543e13i | −0.0920545 | + | 0.159443i | ||||
\(437\) | −2.74831e13 | + | 4.76021e13i | −0.0824932 | + | 0.142882i | ||||
\(438\) | 5.00134e14 | − | 1.06987e14i | 1.48244 | − | 0.317120i | ||||
\(439\) | −1.51242e14 | − | 2.61959e14i | −0.442708 | − | 0.766793i | 0.555181 | − | 0.831729i | \(-0.312649\pi\) |
−0.997889 | + | 0.0649362i | \(0.979316\pi\) | |||||||
\(440\) | −3.86046e14 | −1.11596 | ||||||||
\(441\) | −7.29299e13 | + | 3.26981e13i | −0.208206 | + | 0.0933493i | ||||
\(442\) | 8.90520e13 | 0.251085 | ||||||||
\(443\) | 2.80130e14 | + | 4.85200e14i | 0.780081 | + | 1.35114i | 0.931894 | + | 0.362730i | \(0.118155\pi\) |
−0.151814 | + | 0.988409i | \(0.548511\pi\) | |||||||
\(444\) | 3.76587e13 | + | 4.17150e13i | 0.103576 | + | 0.114732i | ||||
\(445\) | −4.78016e13 | + | 8.27947e13i | −0.129856 | + | 0.224917i | ||||
\(446\) | −1.49776e14 | + | 2.59420e14i | −0.401885 | + | 0.696084i | ||||
\(447\) | −3.09051e14 | − | 3.42339e14i | −0.819103 | − | 0.907329i | ||||
\(448\) | 1.31820e14 | + | 2.28318e14i | 0.345105 | + | 0.597739i | ||||
\(449\) | −2.12872e14 | −0.550508 | −0.275254 | − | 0.961372i | \(-0.588762\pi\) | ||||
−0.275254 | + | 0.961372i | \(0.588762\pi\) | |||||||
\(450\) | 7.38744e14 | − | 3.31216e14i | 1.88723 | − | 0.846141i | ||||
\(451\) | 2.95219e14 | 0.745030 | ||||||||
\(452\) | −5.70985e13 | − | 9.88975e13i | −0.142352 | − | 0.246561i | ||||
\(453\) | 5.93808e14 | − | 1.27026e14i | 1.46253 | − | 0.312861i | ||||
\(454\) | 8.03293e13 | − | 1.39134e14i | 0.195464 | − | 0.338554i | ||||
\(455\) | −3.93088e13 | + | 6.80849e13i | −0.0944991 | + | 0.163677i | ||||
\(456\) | 1.02551e14 | − | 3.17022e14i | 0.243575 | − | 0.752978i | ||||
\(457\) | 1.67416e14 | + | 2.89974e14i | 0.392879 | + | 0.680486i | 0.992828 | − | 0.119552i | \(-0.0381459\pi\) |
−0.599949 | + | 0.800038i | \(0.704813\pi\) | |||||||
\(458\) | 4.06045e13 | 0.0941486 | ||||||||
\(459\) | −6.50357e14 | + | 4.76402e14i | −1.48999 | + | 1.09145i | ||||
\(460\) | 2.33410e13 | 0.0528386 | ||||||||
\(461\) | −3.57001e14 | − | 6.18344e14i | −0.798572 | − | 1.38317i | −0.920546 | − | 0.390634i | \(-0.872256\pi\) |
0.121974 | − | 0.992533i | \(-0.461078\pi\) | |||||||
\(462\) | 9.56899e13 | − | 2.95812e14i | 0.211512 | − | 0.653861i | ||||
\(463\) | −2.61709e14 | + | 4.53293e14i | −0.571640 | + | 0.990110i | 0.424758 | + | 0.905307i | \(0.360359\pi\) |
−0.996398 | + | 0.0848028i | \(0.972974\pi\) | |||||||
\(464\) | 3.74600e13 | − | 6.48827e13i | 0.0808573 | − | 0.140049i | ||||
\(465\) | 5.43882e13 | − | 1.16345e13i | 0.116015 | − | 0.0248175i | ||||
\(466\) | 2.61198e13 | + | 4.52408e13i | 0.0550613 | + | 0.0953690i | ||||
\(467\) | 6.30495e14 | 1.31353 | 0.656763 | − | 0.754097i | \(-0.271925\pi\) | ||||
0.656763 | + | 0.754097i | \(0.271925\pi\) | |||||||
\(468\) | −1.02673e12 | + | 1.00194e13i | −0.00211399 | + | 0.0206296i | ||||
\(469\) | −4.03319e14 | −0.820725 | ||||||||
\(470\) | 4.56384e14 | + | 7.90480e14i | 0.917893 | + | 1.58984i | ||||
\(471\) | 7.32669e13 | + | 8.11586e13i | 0.145644 | + | 0.161332i | ||||
\(472\) | 8.54067e12 | − | 1.47929e13i | 0.0167807 | − | 0.0290651i | ||||
\(473\) | −6.68118e13 | + | 1.15721e14i | −0.129753 | + | 0.224738i | ||||
\(474\) | −6.26391e14 | − | 6.93860e14i | −1.20244 | − | 1.33196i | ||||
\(475\) | 4.43313e14 | + | 7.67840e14i | 0.841192 | + | 1.45699i | ||||
\(476\) | −1.42413e14 | −0.267123 | ||||||||
\(477\) | 4.21086e14 | + | 3.04266e14i | 0.780765 | + | 0.564160i | ||||
\(478\) | 4.91318e14 | 0.900552 | ||||||||
\(479\) | −1.83878e14 | − | 3.18486e14i | −0.333185 | − | 0.577093i | 0.649950 | − | 0.759977i | \(-0.274790\pi\) |
−0.983134 | + | 0.182885i | \(0.941457\pi\) | |||||||
\(480\) | −3.03984e14 | + | 6.50272e13i | −0.544532 | + | 0.116485i | ||||
\(481\) | −3.33938e13 | + | 5.78398e13i | −0.0591382 | + | 0.102430i | ||||
\(482\) | 2.44634e14 | − | 4.23718e14i | 0.428309 | − | 0.741853i | ||||
\(483\) | 2.93588e13 | − | 9.07587e13i | 0.0508193 | − | 0.157101i | ||||
\(484\) | 2.28266e13 | + | 3.95368e13i | 0.0390653 | + | 0.0676631i | ||||
\(485\) | −2.33327e14 | −0.394807 | ||||||||
\(486\) | −3.26151e14 | − | 5.56518e14i | −0.545657 | − | 0.931065i | ||||
\(487\) | −3.09577e14 | −0.512105 | −0.256052 | − | 0.966663i | \(-0.582422\pi\) | ||||
−0.256052 | + | 0.966663i | \(0.582422\pi\) | |||||||
\(488\) | −2.50911e14 | − | 4.34590e14i | −0.410402 | − | 0.710838i | ||||
\(489\) | −7.64334e13 | + | 2.36284e14i | −0.123619 | + | 0.382151i | ||||
\(490\) | −1.31474e14 | + | 2.27720e14i | −0.210262 | + | 0.364185i | ||||
\(491\) | −3.81647e13 | + | 6.61031e13i | −0.0603550 | + | 0.104538i | −0.894624 | − | 0.446820i | \(-0.852557\pi\) |
0.834269 | + | 0.551357i | \(0.185890\pi\) | |||||||
\(492\) | 1.05807e14 | − | 2.26338e13i | 0.165465 | − | 0.0353956i | ||||
\(493\) | −8.48943e13 | − | 1.47041e14i | −0.131287 | − | 0.227395i | ||||
\(494\) | −7.80327e13 | −0.119338 | ||||||||
\(495\) | −6.63406e14 | − | 4.79360e14i | −1.00335 | − | 0.724992i | ||||
\(496\) | −5.28333e13 | −0.0790240 | ||||||||
\(497\) | 3.55840e14 | + | 6.16333e14i | 0.526374 | + | 0.911707i | ||||
\(498\) | 1.29546e14 | + | 1.43500e14i | 0.189524 | + | 0.209937i | ||||
\(499\) | 6.13417e14 | − | 1.06247e15i | 0.887571 | − | 1.53732i | 0.0448317 | − | 0.998995i | \(-0.485725\pi\) |
0.842739 | − | 0.538323i | \(-0.180942\pi\) | |||||||
\(500\) | 9.00235e13 | − | 1.55925e14i | 0.128831 | − | 0.223142i | ||||
\(501\) | 6.99126e14 | + | 7.74429e14i | 0.989573 | + | 1.09616i | ||||
\(502\) | −6.33017e14 | − | 1.09642e15i | −0.886227 | − | 1.53499i | ||||
\(503\) | −4.22659e14 | −0.585283 | −0.292642 | − | 0.956222i | \(-0.594534\pi\) | ||||
−0.292642 | + | 0.956222i | \(0.594534\pi\) | |||||||
\(504\) | −5.89451e13 | + | 5.75220e14i | −0.0807383 | + | 0.787891i | ||||
\(505\) | −1.47515e15 | −1.99863 | ||||||||
\(506\) | −5.48485e13 | − | 9.50003e13i | −0.0735083 | − | 0.127320i | ||||
\(507\) | 7.25907e14 | − | 1.55284e14i | 0.962359 | − | 0.205865i | ||||
\(508\) | −6.52550e13 | + | 1.13025e14i | −0.0855782 | + | 0.148226i | ||||
\(509\) | −3.20432e13 | + | 5.55005e13i | −0.0415708 | + | 0.0720027i | −0.886062 | − | 0.463566i | \(-0.846570\pi\) |
0.844491 | + | 0.535569i | \(0.179903\pi\) | |||||||
\(510\) | −8.16319e14 | + | 2.52354e15i | −1.04767 | + | 3.23872i | ||||
\(511\) | −4.86011e14 | − | 8.41796e14i | −0.617065 | − | 1.06879i | ||||
\(512\) | −5.21138e14 | −0.654588 | ||||||||
\(513\) | 5.69881e14 | − | 4.17451e14i | 0.708172 | − | 0.518753i | ||||
\(514\) | 9.64230e14 | 1.18545 | ||||||||
\(515\) | 6.76221e14 | + | 1.17125e15i | 0.822524 | + | 1.42465i | ||||
\(516\) | −1.50732e13 | + | 4.65968e13i | −0.0181398 | + | 0.0560768i | ||||
\(517\) | 3.03187e14 | − | 5.25135e14i | 0.361005 | − | 0.625278i | ||||
\(518\) | 3.77804e14 | − | 6.54376e14i | 0.445095 | − | 0.770927i | ||||
\(519\) | 6.08223e13 | − | 1.30109e13i | 0.0708994 | − | 0.0151666i | ||||
\(520\) | −8.40740e13 | − | 1.45620e14i | −0.0969713 | − | 0.167959i | ||||
\(521\) | −2.47467e14 | −0.282429 | −0.141215 | − | 0.989979i | \(-0.545101\pi\) | ||||
−0.141215 | + | 0.989979i | \(0.545101\pi\) | |||||||
\(522\) | 1.23964e14 | − | 5.55792e13i | 0.139993 | − | 0.0627660i | ||||
\(523\) | 4.56429e14 | 0.510051 | 0.255026 | − | 0.966934i | \(-0.417916\pi\) | ||||
0.255026 | + | 0.966934i | \(0.417916\pi\) | |||||||
\(524\) | 1.32068e13 | + | 2.28749e13i | 0.0146042 | + | 0.0252951i | ||||
\(525\) | −1.03105e15 | − | 1.14211e15i | −1.12825 | − | 1.24977i | ||||
\(526\) | −7.33224e14 | + | 1.26998e15i | −0.793990 | + | 1.37523i | ||||
\(527\) | −5.98671e13 | + | 1.03693e14i | −0.0641549 | + | 0.111120i | ||||
\(528\) | 5.20988e14 | + | 5.77104e14i | 0.552512 | + | 0.612023i | ||||
\(529\) | 4.59577e14 | + | 7.96010e14i | 0.482338 | + | 0.835435i | ||||
\(530\) | 1.70917e15 | 1.77528 | ||||||||
\(531\) | 3.30454e13 | − | 1.48159e13i | 0.0339696 | − | 0.0152303i | ||||
\(532\) | 1.24791e14 | 0.126960 | ||||||||
\(533\) | 6.42935e13 | + | 1.11360e14i | 0.0647393 | + | 0.112132i | ||||
\(534\) | 1.61033e14 | − | 3.44477e13i | 0.160486 | − | 0.0343307i | ||||
\(535\) | 9.99220e14 | − | 1.73070e15i | 0.985633 | − | 1.70717i | ||||
\(536\) | 4.31310e14 | − | 7.47052e14i | 0.421098 | − | 0.729364i | ||||
\(537\) | −9.53410e13 | + | 2.94734e14i | −0.0921342 | + | 0.284820i | ||||
\(538\) | 6.77864e14 | + | 1.17410e15i | 0.648396 | + | 1.12305i | ||||
\(539\) | 1.74683e14 | 0.165391 | ||||||||
\(540\) | −2.74516e14 | − | 1.20941e14i | −0.257278 | − | 0.113346i | ||||
\(541\) | −3.25334e14 | −0.301818 | −0.150909 | − | 0.988548i | \(-0.548220\pi\) | ||||
−0.150909 | + | 0.988548i | \(0.548220\pi\) | |||||||
\(542\) | −3.42326e14 | − | 5.92925e14i | −0.314372 | − | 0.544507i | ||||
\(543\) | −3.06191e14 | + | 9.46548e14i | −0.278352 | + | 0.860486i | ||||
\(544\) | 3.34606e14 | − | 5.79555e14i | 0.301120 | − | 0.521556i | ||||
\(545\) | 1.07193e15 | − | 1.85663e15i | 0.954959 | − | 1.65404i | ||||
\(546\) | 1.32423e14 | − | 2.83275e13i | 0.116789 | − | 0.0249832i | ||||
\(547\) | −6.28947e14 | − | 1.08937e15i | −0.549141 | − | 0.951140i | −0.998334 | − | 0.0577052i | \(-0.981622\pi\) |
0.449193 | − | 0.893435i | \(-0.351712\pi\) | |||||||
\(548\) | −5.85289e13 | −0.0505915 | ||||||||
\(549\) | 1.08457e14 | − | 1.05839e15i | 0.0928133 | − | 0.905725i | ||||
\(550\) | −1.76945e15 | −1.49915 | ||||||||
\(551\) | 7.43894e13 | + | 1.28846e14i | 0.0623989 | + | 0.108078i | ||||
\(552\) | 1.36712e14 | + | 1.51438e14i | 0.113538 | + | 0.125768i | ||||
\(553\) | −8.88285e14 | + | 1.53855e15i | −0.730405 | + | 1.26510i | ||||
\(554\) | −6.37344e14 | + | 1.10391e15i | −0.518884 | + | 0.898733i | ||||
\(555\) | −1.33294e15 | − | 1.47651e15i | −1.07448 | − | 1.19021i | ||||
\(556\) | 3.12196e13 | + | 5.40739e13i | 0.0249181 | + | 0.0431595i | ||||
\(557\) | −1.47690e15 | −1.16721 | −0.583605 | − | 0.812038i | \(-0.698358\pi\) | ||||
−0.583605 | + | 0.812038i | \(0.698358\pi\) | |||||||
\(558\) | −7.76526e13 | − | 5.61098e13i | −0.0607670 | − | 0.0439087i | ||||
\(559\) | −5.82017e13 | −0.0450994 | ||||||||
\(560\) | 1.11213e15 | + | 1.92626e15i | 0.853336 | + | 1.47802i | ||||
\(561\) | 1.72300e15 | − | 3.68578e14i | 1.30915 | − | 0.280049i | ||||
\(562\) | −3.13911e14 | + | 5.43709e14i | −0.236187 | + | 0.409088i | ||||
\(563\) | −5.42285e14 | + | 9.39265e14i | −0.404046 | + | 0.699829i | −0.994210 | − | 0.107455i | \(-0.965730\pi\) |
0.590163 | + | 0.807284i | \(0.299063\pi\) | |||||||
\(564\) | 6.84013e13 | − | 2.11453e14i | 0.0504695 | − | 0.156020i | ||||
\(565\) | 2.02101e15 | + | 3.50050e15i | 1.47674 | + | 2.55778i | ||||
\(566\) | −2.44956e15 | −1.77255 | ||||||||
\(567\) | −8.15556e14 | + | 9.15302e14i | −0.584449 | + | 0.655930i | ||||
\(568\) | −1.52215e15 | −1.08029 | ||||||||
\(569\) | 9.52952e14 | + | 1.65056e15i | 0.669813 | + | 1.16015i | 0.977956 | + | 0.208810i | \(0.0669591\pi\) |
−0.308143 | + | 0.951340i | \(0.599708\pi\) | |||||||
\(570\) | 7.15307e14 | − | 2.21127e15i | 0.497944 | − | 1.53933i | ||||
\(571\) | 3.80315e14 | − | 6.58724e14i | 0.262207 | − | 0.454156i | −0.704621 | − | 0.709584i | \(-0.748883\pi\) |
0.966828 | + | 0.255428i | \(0.0822163\pi\) | |||||||
\(572\) | 1.10065e13 | − | 1.90639e13i | 0.00751575 | − | 0.0130177i | ||||
\(573\) | −7.68813e14 | + | 1.64462e14i | −0.519961 | + | 0.111228i | ||||
\(574\) | −7.27390e14 | − | 1.25988e15i | −0.487250 | − | 0.843942i | ||||
\(575\) | −5.42888e14 | −0.360195 | ||||||||
\(576\) | −9.68996e14 | − | 7.00171e14i | −0.636793 | − | 0.460130i | ||||
\(577\) | 1.96627e15 | 1.27990 | 0.639950 | − | 0.768417i | \(-0.278955\pi\) | ||||
0.639950 | + | 0.768417i | \(0.278955\pi\) | |||||||
\(578\) | −2.01800e15 | − | 3.49527e15i | −1.30112 | − | 2.25360i | ||||
\(579\) | 1.68403e14 | + | 1.86542e14i | 0.107552 | + | 0.119137i | ||||
\(580\) | 3.15889e13 | − | 5.47136e13i | 0.0199839 | − | 0.0346132i | ||||
\(581\) | 1.83709e14 | − | 3.18194e14i | 0.115123 | − | 0.199399i | ||||
\(582\) | 2.69315e14 | + | 2.98324e14i | 0.167180 | + | 0.185187i | ||||
\(583\) | −5.67720e14 | − | 9.83321e14i | −0.349106 | − | 0.604669i | ||||
\(584\) | 2.07897e15 | 1.26642 | ||||||||
\(585\) | 3.63413e13 | − | 3.54639e14i | 0.0219302 | − | 0.214008i | ||||
\(586\) | 4.71439e14 | 0.281831 | ||||||||
\(587\) | −6.86276e14 | − | 1.18867e15i | −0.406433 | − | 0.703963i | 0.588054 | − | 0.808822i | \(-0.299894\pi\) |
−0.994487 | + | 0.104859i | \(0.966561\pi\) | |||||||
\(588\) | 6.26063e13 | − | 1.33925e13i | 0.0367319 | − | 0.00785756i | ||||
\(589\) | 5.24591e13 | − | 9.08618e13i | 0.0304921 | − | 0.0528138i | ||||
\(590\) | 5.95724e13 | − | 1.03182e14i | 0.0343051 | − | 0.0594182i | ||||
\(591\) | 1.77330e14 | − | 5.48192e14i | 0.101170 | − | 0.312753i | ||||
\(592\) | 9.44779e14 | + | 1.63640e15i | 0.534024 | + | 0.924957i | ||||
\(593\) | −1.46192e15 | −0.818695 | −0.409348 | − | 0.912379i | \(-0.634244\pi\) | ||||
−0.409348 | + | 0.912379i | \(0.634244\pi\) | |||||||
\(594\) | 1.52837e14 | + | 1.40151e15i | 0.0848016 | + | 0.777623i | ||||
\(595\) | 5.04074e15 | 2.77109 | ||||||||
\(596\) | 1.84721e14 | + | 3.19946e14i | 0.100615 | + | 0.174270i | ||||
\(597\) | −2.92624e14 | + | 9.04607e14i | −0.157925 | + | 0.488204i | ||||
\(598\) | 2.38900e13 | − | 4.13788e13i | 0.0127750 | − | 0.0221269i | ||||
\(599\) | −8.83848e14 | + | 1.53087e15i | −0.468307 | + | 0.811131i | −0.999344 | − | 0.0362177i | \(-0.988469\pi\) |
0.531037 | + | 0.847348i | \(0.321802\pi\) | |||||||
\(600\) | 3.21809e15 | − | 6.88404e14i | 1.68953 | − | 0.361419i | ||||
\(601\) | −5.28961e13 | − | 9.16188e13i | −0.0275178 | − | 0.0476623i | 0.851939 | − | 0.523642i | \(-0.175427\pi\) |
−0.879456 | + | 0.475980i | \(0.842094\pi\) | |||||||
\(602\) | 6.58469e14 | 0.339434 | ||||||||
\(603\) | 1.66882e15 | − | 7.48215e14i | 0.852440 | − | 0.382192i | ||||
\(604\) | −4.86425e14 | −0.246214 | ||||||||
\(605\) | −8.07952e14 | − | 1.39941e15i | −0.405257 | − | 0.701926i | ||||
\(606\) | 1.70268e15 | + | 1.88607e15i | 0.846317 | + | 0.937474i | ||||
\(607\) | −1.76777e15 | + | 3.06187e15i | −0.870739 | + | 1.50816i | −0.00950491 | + | 0.999955i | \(0.503026\pi\) |
−0.861234 | + | 0.508209i | \(0.830308\pi\) | |||||||
\(608\) | −2.93202e14 | + | 5.07840e14i | −0.143119 | + | 0.247889i | ||||
\(609\) | −1.73014e14 | − | 1.91650e14i | −0.0836925 | − | 0.0927070i | ||||
\(610\) | −1.75014e15 | − | 3.03133e15i | −0.838992 | − | 1.45318i | ||||
\(611\) | 2.64115e14 | 0.125478 | ||||||||
\(612\) | 5.89264e14 | − | 2.64197e14i | 0.277445 | − | 0.124393i | ||||
\(613\) | −1.35804e15 | −0.633693 | −0.316846 | − | 0.948477i | \(-0.602624\pi\) | ||||
−0.316846 | + | 0.948477i | \(0.602624\pi\) | |||||||
\(614\) | 1.40759e15 | + | 2.43801e15i | 0.650953 | + | 1.12748i | ||||
\(615\) | −3.74505e15 | + | 8.01129e14i | −1.71650 | + | 0.367189i | ||||
\(616\) | 6.31891e14 | − | 1.09447e15i | 0.287044 | − | 0.497175i | ||||
\(617\) | −1.69717e15 | + | 2.93959e15i | −0.764112 | + | 1.32348i | 0.176602 | + | 0.984282i | \(0.443489\pi\) |
−0.940715 | + | 0.339199i | \(0.889844\pi\) | |||||||
\(618\) | 7.16996e14 | − | 2.21650e15i | 0.319949 | − | 0.989077i | ||||
\(619\) | −2.08365e15 | − | 3.60898e15i | −0.921565 | − | 1.59620i | −0.796995 | − | 0.603986i | \(-0.793578\pi\) |
−0.124570 | − | 0.992211i | \(-0.539755\pi\) | |||||||
\(620\) | −4.45528e13 | −0.0195308 | ||||||||
\(621\) | 4.68923e13 | + | 4.29998e14i | 0.0203750 | + | 0.186837i | ||||
\(622\) | 3.68464e15 | 1.58690 | ||||||||
\(623\) | −1.56486e14 | − | 2.71041e14i | −0.0668022 | − | 0.115705i | ||||
\(624\) | −1.04227e14 | + | 3.22205e14i | −0.0441029 | + | 0.136338i | ||||
\(625\) | −9.01763e14 | + | 1.56190e15i | −0.378227 | + | 0.655108i | ||||
\(626\) | −9.07969e13 | + | 1.57265e14i | −0.0377496 | + | 0.0653842i | ||||
\(627\) | −1.50979e15 | + | 3.22970e14i | −0.622222 | + | 0.133104i | ||||
\(628\) | −4.37920e13 | − | 7.58499e13i | −0.0178902 | − | 0.0309868i | ||||
\(629\) | 4.28223e15 | 1.73417 | ||||||||
\(630\) | −4.11151e14 | + | 4.01224e15i | −0.165055 | + | 1.61070i | ||||
\(631\) | −1.76904e15 | −0.704004 | −0.352002 | − | 0.935999i | \(-0.614499\pi\) | ||||
−0.352002 | + | 0.935999i | \(0.614499\pi\) | |||||||
\(632\) | −1.89987e15 | − | 3.29067e15i | −0.749514 | − | 1.29820i | ||||
\(633\) | 3.70999e14 | + | 4.10960e14i | 0.145095 | + | 0.160723i | ||||
\(634\) | 8.78091e14 | − | 1.52090e15i | 0.340446 | − | 0.589670i | ||||
\(635\) | 2.30971e15 | − | 4.00054e15i | 0.887774 | − | 1.53767i | ||||
\(636\) | −2.78860e14 | − | 3.08896e14i | −0.106261 | − | 0.117706i | ||||
\(637\) | 3.80428e13 | + | 6.58921e13i | 0.0143716 | + | 0.0248924i | ||||
\(638\) | −2.96920e14 | −0.111205 | ||||||||
\(639\) | −2.61575e15 | − | 1.89007e15i | −0.971274 | − | 0.701817i | ||||
\(640\) | −5.44572e15 | −2.00477 | ||||||||
\(641\) | 7.80857e14 | + | 1.35248e15i | 0.285005 | + | 0.493643i | 0.972610 | − | 0.232442i | \(-0.0746714\pi\) |
−0.687605 | + | 0.726085i | \(0.741338\pi\) | |||||||
\(642\) | −3.36615e15 | + | 7.20077e14i | −1.21812 | + | 0.260577i | ||||
\(643\) | −3.01343e14 | + | 5.21941e14i | −0.108119 | + | 0.187267i | −0.915008 | − | 0.403436i | \(-0.867816\pi\) |
0.806889 | + | 0.590702i | \(0.201149\pi\) | |||||||
\(644\) | −3.82052e13 | + | 6.61734e13i | −0.0135910 | + | 0.0235402i | ||||
\(645\) | 5.33521e14 | − | 1.64931e15i | 0.188180 | − | 0.581732i | ||||
\(646\) | 2.50162e15 | + | 4.33292e15i | 0.874866 | + | 1.51531i | ||||
\(647\) | 2.43055e15 | 0.842813 | 0.421407 | − | 0.906872i | \(-0.361537\pi\) | ||||
0.421407 | + | 0.906872i | \(0.361537\pi\) | |||||||
\(648\) | −8.23219e14 | − | 2.48945e15i | −0.283043 | − | 0.855935i | ||||
\(649\) | −7.91508e13 | −0.0269842 | ||||||||
\(650\) | −3.85355e14 | − | 6.67455e14i | −0.130268 | − | 0.225631i | ||||
\(651\) | −5.60394e13 | + | 1.73238e14i | −0.0187844 | + | 0.0580695i | ||||
\(652\) | 9.94645e13 | − | 1.72277e14i | 0.0330603 | − | 0.0572620i | ||||
\(653\) | 1.97130e15 | − | 3.41439e15i | 0.649726 | − | 1.12536i | −0.333463 | − | 0.942763i | \(-0.608217\pi\) |
0.983188 | − | 0.182595i | \(-0.0584496\pi\) | |||||||
\(654\) | −3.61109e15 | + | 7.72473e14i | −1.18021 | + | 0.252468i | ||||
\(655\) | −4.67458e14 | − | 8.09662e14i | −0.151501 | − | 0.262408i | ||||
\(656\) | 3.63799e15 | 1.16920 | ||||||||
\(657\) | 3.57263e15 | + | 2.58149e15i | 1.13862 | + | 0.822736i | ||||
\(658\) | −2.98809e15 | −0.944389 | ||||||||
\(659\) | 2.18972e15 | + | 3.79270e15i | 0.686306 | + | 1.18872i | 0.973024 | + | 0.230702i | \(0.0741024\pi\) |
−0.286718 | + | 0.958015i | \(0.592564\pi\) | |||||||
\(660\) | 4.39334e14 | + | 4.86655e14i | 0.136554 | + | 0.151262i | ||||
\(661\) | −1.82027e14 | + | 3.15281e14i | −0.0561085 | + | 0.0971828i | −0.892715 | − | 0.450621i | \(-0.851203\pi\) |
0.836607 | + | 0.547804i | \(0.184536\pi\) | |||||||
\(662\) | −4.98212e14 | + | 8.62928e14i | −0.152298 | + | 0.263788i | ||||
\(663\) | 5.14269e14 | + | 5.69662e14i | 0.155907 | + | 0.172700i | ||||
\(664\) | 3.92918e14 | + | 6.80555e14i | 0.118135 | + | 0.204616i | ||||
\(665\) | −4.41699e15 | −1.31707 | ||||||||
\(666\) | −3.49283e14 | + | 3.40850e15i | −0.103292 | + | 1.00799i | ||||
\(667\) | −9.10985e13 | −0.0267189 | ||||||||
\(668\) | −4.17870e14 | − | 7.23773e14i | −0.121555 | − | 0.210539i | ||||
\(669\) | −2.52445e15 | + | 5.40022e14i | −0.728320 | + | 0.155800i | ||||
\(670\) | 3.00845e15 | − | 5.21079e15i | 0.860858 | − | 1.49105i | ||||
\(671\) | −1.16266e15 | + | 2.01379e15i | −0.329973 | + | 0.571530i | ||||
\(672\) | 3.13212e14 | − | 9.68253e14i | 0.0881673 | − | 0.272557i | ||||
\(673\) | −1.49671e15 | − | 2.59238e15i | −0.417884 | − | 0.723796i | 0.577842 | − | 0.816148i | \(-0.303895\pi\) |
−0.995726 | + | 0.0923521i | \(0.970561\pi\) | |||||||
\(674\) | 7.27772e15 | 2.01542 | ||||||||
\(675\) | 6.38497e15 | + | 2.81296e15i | 1.75383 | + | 0.772668i | ||||
\(676\) | −5.94636e14 | −0.162011 | ||||||||
\(677\) | −1.88286e15 | − | 3.26121e15i | −0.508840 | − | 0.881336i | −0.999948 | − | 0.0102376i | \(-0.996741\pi\) |
0.491108 | − | 0.871099i | \(-0.336592\pi\) | |||||||
\(678\) | 2.14288e15 | − | 6.62442e15i | 0.574427 | − | 1.77576i | ||||
\(679\) | 3.81916e14 | − | 6.61497e14i | 0.101551 | − | 0.175891i | ||||
\(680\) | −5.39058e15 | + | 9.33676e15i | −1.42179 | + | 2.46262i | ||||
\(681\) | 1.35393e15 | − | 2.89629e14i | 0.354232 | − | 0.0757763i | ||||
\(682\) | 1.04693e14 | + | 1.81334e14i | 0.0271710 | + | 0.0470615i | ||||
\(683\) | −2.18960e15 | −0.563704 | −0.281852 | − | 0.959458i | \(-0.590949\pi\) | ||||
−0.281852 | + | 0.959458i | \(0.590949\pi\) | |||||||
\(684\) | −5.16348e14 | + | 2.31505e14i | −0.131866 | + | 0.0591223i | ||||
\(685\) | 2.07164e15 | 0.524828 | ||||||||
\(686\) | −2.31667e15 | − | 4.01260e15i | −0.582214 | − | 1.00842i | ||||
\(687\) | 2.34488e14 | + | 2.59745e14i | 0.0584600 | + | 0.0647567i | ||||
\(688\) | −8.23321e14 | + | 1.42603e15i | −0.203626 | + | 0.352690i | ||||
\(689\) | 2.47279e14 | − | 4.28300e14i | 0.0606710 | − | 0.105085i | ||||
\(690\) | 9.53588e14 | + | 1.05630e15i | 0.232108 | + | 0.257109i | ||||
\(691\) | 3.74422e15 | + | 6.48518e15i | 0.904133 | + | 1.56600i | 0.822077 | + | 0.569377i | \(0.192815\pi\) |
0.0820565 | + | 0.996628i | \(0.473851\pi\) | |||||||
\(692\) | −4.98233e13 | −0.0119357 | ||||||||
\(693\) | 2.44490e15 | − | 1.09617e15i | 0.581070 | − | 0.260523i | ||||
\(694\) | 4.82840e15 | 1.13848 | ||||||||
\(695\) | −1.10502e15 | − | 1.91396e15i | −0.258497 | − | 0.447730i | ||||
\(696\) | 5.40007e14 | − | 1.15517e14i | 0.125328 | − | 0.0268098i | ||||
\(697\) | 4.12232e15 | − | 7.14006e15i | 0.949208 | − | 1.64408i | ||||
\(698\) | 5.74314e14 | − | 9.94742e14i | 0.131203 | − | 0.227251i | ||||
\(699\) | −1.38563e14 | + | 4.28349e14i | −0.0314068 | + | 0.0970898i | ||||
\(700\) | 6.16264e14 | + | 1.06740e15i | 0.138589 | + | 0.240043i | ||||
\(701\) | 4.92826e14 | 0.109963 | 0.0549813 | − | 0.998487i | \(-0.482490\pi\) | ||||
0.0549813 | + | 0.998487i | \(0.482490\pi\) | |||||||
\(702\) | −4.95377e14 | + | 3.62875e14i | −0.109668 | + | 0.0803346i | ||||
\(703\) | −3.75235e15 | −0.824230 | ||||||||
\(704\) | 1.30643e15 | + | 2.26280e15i | 0.284732 | + | 0.493170i | ||||
\(705\) | −2.42108e15 | + | 7.48444e15i | −0.523563 | + | 1.61852i | ||||
\(706\) | −3.57895e15 | + | 6.19892e15i | −0.767944 | + | 1.33012i | ||||
\(707\) | 2.41456e15 | − | 4.18215e15i | 0.514082 | − | 0.890415i | ||||
\(708\) | −2.83676e13 | + | 6.06832e12i | −0.00599295 | + | 0.00128199i | ||||
\(709\) | −2.92486e15 | − | 5.06601e15i | −0.613129 | − | 1.06197i | −0.990710 | − | 0.135993i | \(-0.956577\pi\) |
0.377581 | − | 0.925976i | \(-0.376756\pi\) | |||||||
\(710\) | −1.06172e16 | −2.20845 | ||||||||
\(711\) | 8.21226e14 | − | 8.01399e15i | 0.169504 | − | 1.65412i | ||||
\(712\) | 6.69386e14 | 0.137100 | ||||||||
\(713\) | 3.21212e13 | + | 5.56355e13i | 0.00652828 | + | 0.0113073i | ||||
\(714\) | −5.81823e15 | − | 6.44492e15i | −1.17341 | − | 1.29980i | ||||
\(715\) | −3.89579e14 | + | 6.74770e14i | −0.0779672 | + | 0.135043i | ||||
\(716\) | 1.24069e14 | − | 2.14894e14i | 0.0246401 | − | 0.0426779i | ||||
\(717\) | 2.83733e15 | + | 3.14294e15i | 0.559183 | + | 0.619413i | ||||
\(718\) | 1.79564e15 | + | 3.11015e15i | 0.351185 | + | 0.608270i | ||||
\(719\) | −7.29010e15 | −1.41490 | −0.707448 | − | 0.706765i | \(-0.750154\pi\) | ||||
−0.707448 | + | 0.706765i | \(0.750154\pi\) | |||||||
\(720\) | −8.17515e15 | − | 5.90715e15i | −1.57459 | − | 1.13776i | ||||
\(721\) | −4.42743e15 | −0.846267 | ||||||||
\(722\) | 6.52511e14 | + | 1.13018e15i | 0.123775 | + | 0.214385i | ||||
\(723\) | 4.12325e15 | − | 8.82032e14i | 0.776209 | − | 0.166044i | ||||
\(724\) | 3.98453e14 | − | 6.90141e14i | 0.0744415 | − | 0.128936i | ||||
\(725\) | −7.34726e14 | + | 1.27258e15i | −0.136228 | + | 0.235954i | ||||
\(726\) | −8.56671e14 | + | 2.64828e15i | −0.157639 | + | 0.487318i | ||||
\(727\) | 4.10926e15 | + | 7.11745e15i | 0.750454 | + | 1.29983i | 0.947603 | + | 0.319452i | \(0.103499\pi\) |
−0.197148 | + | 0.980374i | \(0.563168\pi\) | |||||||
\(728\) | 5.50459e14 | 0.0997705 | ||||||||
\(729\) | 1.67652e15 | − | 5.30023e15i | 0.301583 | − | 0.953440i | ||||
\(730\) | 1.45011e16 | 2.58896 | ||||||||
\(731\) | 1.86586e15 | + | 3.23177e15i | 0.330624 | + | 0.572657i | ||||
\(732\) | −2.62305e14 | + | 8.10879e14i | −0.0461312 | + | 0.142608i | ||||
\(733\) | −4.15140e15 | + | 7.19043e15i | −0.724640 | + | 1.25511i | 0.234481 | + | 0.972121i | \(0.424661\pi\) |
−0.959122 | + | 0.282993i | \(0.908673\pi\) | |||||||
\(734\) | −2.52660e15 | + | 4.37620e15i | −0.437731 | + | 0.758173i | ||||
\(735\) | −2.21597e15 | + | 4.74032e14i | −0.381051 | + | 0.0815131i | ||||
\(736\) | −1.79530e14 | − | 3.10955e14i | −0.0306414 | − | 0.0530725i | ||||
\(737\) | −3.99718e15 | −0.677146 | ||||||||
\(738\) | 5.34699e15 | + | 3.86360e15i | 0.899082 | + | 0.649653i | ||||
\(739\) | −1.02273e16 | −1.70693 | −0.853464 | − | 0.521152i | \(-0.825503\pi\) | ||||
−0.853464 | + | 0.521152i | \(0.825503\pi\) | |||||||
\(740\) | 7.96703e14 | + | 1.37993e15i | 0.131984 | + | 0.228603i | ||||
\(741\) | −4.50633e14 | − | 4.99171e14i | −0.0741008 | − | 0.0820823i | ||||
\(742\) | −2.79761e15 | + | 4.84560e15i | −0.456631 | + | 0.790909i | ||||
\(743\) | 2.97979e15 | − | 5.16114e15i | 0.482777 | − | 0.836194i | −0.517028 | − | 0.855969i | \(-0.672962\pi\) |
0.999804 | + | 0.0197746i | \(0.00629487\pi\) | |||||||
\(744\) | −2.60953e14 | − | 2.89061e14i | −0.0419674 | − | 0.0464877i | ||||
\(745\) | −6.53824e15 | − | 1.13246e16i | −1.04376 | − | 1.80785i | ||||
\(746\) | 2.98612e15 | 0.473199 | ||||||||
\(747\) | −1.69841e14 | + | 1.65740e15i | −0.0267164 | + | 0.260714i | ||||
\(748\) | −1.41141e15 | −0.220392 | ||||||||
\(749\) | 3.27110e15 | + | 5.66571e15i | 0.507042 | + | 0.878223i | ||||
\(750\) | 1.07343e16 | − | 2.29625e15i | 1.65172 | − | 0.353331i | ||||
\(751\) | 9.00133e14 | − | 1.55908e15i | 0.137495 | − | 0.238148i | −0.789053 | − | 0.614325i | \(-0.789428\pi\) |
0.926548 | + | 0.376177i | \(0.122762\pi\) | |||||||
\(752\) | 3.73617e15 | − | 6.47124e15i | 0.566538 | − | 0.981272i | ||||
\(753\) | 3.35810e15 | − | 1.03811e16i | 0.505500 | − | 1.56269i | ||||
\(754\) | −6.46639e13 | − | 1.12001e14i | −0.00966317 | − | 0.0167371i | ||||
\(755\) | 1.72171e16 | 2.55419 | ||||||||
\(756\) | 7.92212e14 | − | 5.80313e14i | 0.116673 | − | 0.0854659i | ||||
\(757\) | 9.33849e15 | 1.36537 | 0.682684 | − | 0.730714i | \(-0.260813\pi\) | ||||
0.682684 | + | 0.730714i | \(0.260813\pi\) | |||||||
\(758\) | −2.32171e15 | − | 4.02132e15i | −0.336998 | − | 0.583697i | ||||
\(759\) | 2.90967e14 | − | 8.99483e14i | 0.0419289 | − | 0.129617i | ||||
\(760\) | 4.72355e15 | − | 8.18142e15i | 0.675762 | − | 1.17045i | ||||
\(761\) | 7.47269e14 | − | 1.29431e15i | 0.106136 | − | 0.183832i | −0.808066 | − | 0.589092i | \(-0.799486\pi\) |
0.914202 | + | 0.405260i | \(0.132819\pi\) | |||||||
\(762\) | −7.78092e15 | + | 1.66447e15i | −1.09718 | + | 0.234706i | ||||
\(763\) | 3.50912e15 | + | 6.07798e15i | 0.491262 | + | 0.850891i | ||||
\(764\) | 6.29783e14 | 0.0875341 | ||||||||
\(765\) | −2.08571e16 | + | 9.35131e15i | −2.87817 | + | 1.29043i | ||||
\(766\) | −3.90770e15 | −0.535382 | ||||||||
\(767\) | −1.72376e13 | − | 2.98565e13i | −0.00234479 | − | 0.00406129i | ||||
\(768\) | 2.38763e15 | + | 2.64481e15i | 0.322464 | + | 0.357197i | ||||
\(769\) | −2.72258e15 | + | 4.71564e15i | −0.365077 | + | 0.632333i | −0.988789 | − | 0.149322i | \(-0.952291\pi\) |
0.623711 | + | 0.781655i | \(0.285624\pi\) | |||||||
\(770\) | 4.40753e15 | − | 7.63407e15i | 0.586809 | − | 1.01638i | ||||
\(771\) | 5.56836e15 | + | 6.16814e15i | 0.736086 | + | 0.815370i | ||||
\(772\) | −1.00655e14 | − | 1.74340e14i | −0.0132112 | − | 0.0228825i | ||||
\(773\) | −4.76921e15 | −0.621526 | −0.310763 | − | 0.950487i | \(-0.600585\pi\) | ||||
−0.310763 | + | 0.950487i | \(0.600585\pi\) | |||||||
\(774\) | −2.72456e15 | + | 1.22156e15i | −0.352550 | + | 0.158066i | ||||
\(775\) | 1.03625e15 | 0.133139 | ||||||||
\(776\) | 8.16844e14 | + | 1.41481e15i | 0.104208 | + | 0.180493i | ||||
\(777\) | 6.36780e15 | − | 1.36218e15i | 0.806629 | − | 0.172552i | ||||
\(778\) | 1.29300e15 | − | 2.23954e15i | 0.162634 | − | 0.281690i | ||||
\(779\) | −3.61222e15 | + | 6.25655e15i | −0.451147 | + | 0.781409i | ||||
\(780\) | −8.78919e13 | + | 2.71706e14i | −0.0109000 | + | 0.0336960i | ||||
\(781\) | 3.52663e15 | + | 6.10830e15i | 0.434289 | + | 0.752211i | ||||
\(782\) | −3.06352e15 | −0.374614 | ||||||||
\(783\) | 1.07142e15 | + | 4.72025e14i | 0.130098 | + | 0.0573159i | ||||
\(784\) | 2.15262e15 | 0.259554 | ||||||||
\(785\) | 1.55003e15 | + | 2.68472e15i | 0.185591 | + | 0.321452i | ||||
\(786\) | −4.95646e14 | + | 1.53222e15i | −0.0589315 | + | 0.182179i | ||||
\(787\) | 1.35542e15 | − | 2.34766e15i | 0.160034 | − | 0.277188i | −0.774846 | − | 0.632150i | \(-0.782173\pi\) |
0.934881 | + | 0.354962i | \(0.115506\pi\) | |||||||
\(788\) | −2.30764e14 | + | 3.99694e14i | −0.0270566 | + | 0.0468634i | ||||
\(789\) | −1.23583e16 | + | 2.64366e15i | −1.43892 | + | 0.307809i | ||||
\(790\) | −1.32519e16 | − | 2.29529e16i | −1.53224 | − | 2.65392i | ||||
\(791\) | −1.32322e16 | −1.51936 | ||||||||
\(792\) | −5.84188e14 | + | 5.70084e15i | −0.0666138 | + | 0.650056i | ||||
\(793\) | −1.01283e15 | −0.114692 | ||||||||
\(794\) | 8.80478e15 | + | 1.52503e16i | 0.990161 | + | 1.71501i | ||||
\(795\) | 9.87031e15 | + | 1.09335e16i | 1.10233 | + | 1.22106i | ||||
\(796\) | 3.80798e14 | − | 6.59561e14i | 0.0422350 | − | 0.0731532i | ||||
\(797\) | 5.17303e15 | − | 8.95994e15i | 0.569802 | − | 0.986926i | −0.426783 | − | 0.904354i | \(-0.640353\pi\) |
0.996585 | − | 0.0825718i | \(-0.0263134\pi\) | |||||||
\(798\) | 5.09828e15 | + | 5.64742e15i | 0.557709 | + | 0.617780i | ||||
\(799\) | −8.46715e15 | − | 1.46655e16i | −0.919877 | − | 1.59327i | ||||
\(800\) | −5.79177e15 | −0.624908 | ||||||||
\(801\) | 1.15032e15 | + | 8.31188e14i | 0.123264 | + | 0.0890677i | ||||
\(802\) | −1.93753e16 | −2.06200 | ||||||||
\(803\) | −4.81672e15 | − | 8.34280e15i | −0.509115 | − | 0.881813i | ||||
\(804\) | −1.43259e15 | + | 3.06455e14i | −0.150388 | + | 0.0321705i | ||||
\(805\) | 1.35228e15 | − | 2.34222e15i | 0.140991 | − | 0.244203i | ||||
\(806\) | −4.56007e13 | + | 7.89828e13i | −0.00472204 | + | 0.00817881i | ||||
\(807\) | −3.59601e15 | + | 1.11166e16i | −0.369843 | + | 1.14332i | ||||
\(808\) | 5.16429e15 | + | 8.94480e15i | 0.527531 | + | 0.913710i | ||||
\(809\) | 8.71587e15 | 0.884288 | 0.442144 | − | 0.896944i | \(-0.354218\pi\) | ||||
0.442144 | + | 0.896944i | \(0.354218\pi\) | |||||||
\(810\) | −5.74207e15 | − | 1.73643e16i | −0.578630 | − | 1.74980i | ||||
\(811\) | 3.47923e15 | 0.348231 | 0.174116 | − | 0.984725i | \(-0.444293\pi\) | ||||
0.174116 | + | 0.984725i | \(0.444293\pi\) | |||||||
\(812\) | 1.03411e14 | + | 1.79114e14i | 0.0102804 | + | 0.0178062i | ||||
\(813\) | 1.81601e15 | − | 5.61394e15i | 0.179316 | − | 0.554332i | ||||
\(814\) | 3.74431e15 | − | 6.48533e15i | 0.367229 | − | 0.636060i | ||||
\(815\) | −3.52057e15 | + | 6.09780e15i | −0.342962 | + | 0.594027i | ||||
\(816\) | 2.12325e16 | − | 4.54199e15i | 2.05449 | − | 0.439491i | ||||
\(817\) | −1.63498e15 | − | 2.83187e15i | −0.157141 | − | 0.272177i | ||||
\(818\) | 5.79218e14 | 0.0552967 | ||||||||
\(819\) | 9.45943e14 | + | 6.83514e14i | 0.0897023 | + | 0.0648166i | ||||
\(820\) | 3.06780e15 | 0.288969 | ||||||||
\(821\) | −2.35542e15 | − | 4.07971e15i | −0.220385 | − | 0.381718i | 0.734540 | − | 0.678565i | \(-0.237398\pi\) |
−0.954925 | + | 0.296848i | \(0.904065\pi\) | |||||||
\(822\) | −2.39118e15 | − | 2.64873e15i | −0.222237 | − | 0.246175i | ||||
\(823\) | −6.96505e15 | + | 1.20638e16i | −0.643021 | + | 1.11374i | 0.341734 | + | 0.939797i | \(0.388986\pi\) |
−0.984755 | + | 0.173948i | \(0.944347\pi\) | |||||||
\(824\) | 4.73470e15 | − | 8.20075e15i | 0.434203 | − | 0.752062i | ||||
\(825\) | −1.02185e16 | − | 1.13191e16i | −0.930870 | − | 1.03113i | ||||
\(826\) | 1.95019e14 | + | 3.37784e14i | 0.0176477 | + | 0.0305667i | ||||
\(827\) | −8.02299e15 | −0.721201 | −0.360600 | − | 0.932720i | \(-0.617428\pi\) | ||||
−0.360600 | + | 0.932720i | \(0.617428\pi\) | |||||||
\(828\) | 3.53210e13 | − | 3.44683e14i | 0.00315403 | − | 0.0307789i | ||||
\(829\) | 1.44445e16 | 1.28131 | 0.640653 | − | 0.767831i | \(-0.278664\pi\) | ||||
0.640653 | + | 0.767831i | \(0.278664\pi\) | |||||||
\(830\) | 2.74066e15 | + | 4.74697e15i | 0.241505 | + | 0.418299i | ||||
\(831\) | −1.07423e16 | + | 2.29796e15i | −0.940354 | + | 0.201158i | ||||
\(832\) | −5.69033e14 | + | 9.85595e14i | −0.0494834 | + | 0.0857077i | ||||
\(833\) | 2.43920e15 | − | 4.22481e15i | 0.210717 | − | 0.364972i | ||||
\(834\) | −1.17166e15 | + | 3.62201e15i | −0.100551 | + | 0.310840i | ||||
\(835\) | 1.47906e16 | + | 2.56181e16i | 1.26099 | + | 2.18409i | ||||
\(836\) | 1.23676e15 | 0.104750 | ||||||||
\(837\) | −8.95069e13 | − | 8.20770e14i | −0.00753124 | − | 0.0690608i | ||||
\(838\) | 8.91950e15 | 0.745587 | ||||||||
\(839\) | 4.28538e14 | + | 7.42250e14i | 0.0355876 | + | 0.0616395i | 0.883271 | − | 0.468864i | \(-0.155336\pi\) |
−0.847683 | + | 0.530503i | \(0.822003\pi\) | |||||||
\(840\) | −5.04592e15 | + | 1.55988e16i | −0.416298 | + | 1.28693i | ||||
\(841\) | 5.97697e15 | − | 1.03524e16i | 0.489895 | − | 0.848523i | ||||
\(842\) | −6.38097e15 | + | 1.10522e16i | −0.519602 | + | 0.899976i | ||||
\(843\) | −5.29089e15 | + | 1.13181e15i | −0.428033 | + | 0.0915635i | ||||
\(844\) | −2.21748e14 | − | 3.84078e14i | −0.0178228 | − | 0.0308700i | ||||
\(845\) | 2.10473e16 | 1.68067 | ||||||||
\(846\) | 1.23639e16 | − | 5.54334e15i | 0.980882 | − | 0.439779i | ||||
\(847\) | 5.28991e15 | 0.416956 | ||||||||
\(848\) | −6.99602e15 | − | 1.21175e16i | −0.547865 | − | 0.948930i | ||||
\(849\) | −1.41460e16 | − | 1.56697e16i | −1.10063 | − | 1.21918i | ||||
\(850\) | −2.47079e16 | + | 4.27953e16i | −1.90999 | + | 3.30820i | ||||
\(851\) | 1.14880e15 | − | 1.98978e15i | 0.0882330 | − | 0.152824i | ||||
\(852\) | 1.73225e15 | + | 1.91884e15i | 0.132189 | + | 0.146427i | ||||
\(853\) | 2.02740e15 | + | 3.51156e15i | 0.153716 | + | 0.266245i | 0.932591 | − | 0.360935i | \(-0.117542\pi\) |
−0.778875 | + | 0.627180i | \(0.784209\pi\) | |||||||
\(854\) | 1.14587e16 | 0.863211 | ||||||||
\(855\) | 1.82763e16 | − | 8.19417e15i | 1.36796 | − | 0.613326i | ||||
\(856\) | −1.39925e16 | −1.04061 | ||||||||
\(857\) | 1.05665e16 | + | 1.83018e16i | 0.780797 | + | 1.35238i | 0.931478 | + | 0.363797i | \(0.118520\pi\) |
−0.150681 | + | 0.988582i | \(0.548147\pi\) | |||||||
\(858\) | 1.31241e15 | − | 2.80746e14i | 0.0963581 | − | 0.0206126i | ||||
\(859\) | 1.07547e16 | − | 1.86277e16i | 0.784577 | − | 1.35893i | −0.144675 | − | 0.989479i | \(-0.546214\pi\) |
0.929251 | − | 0.369448i | \(-0.120453\pi\) | |||||||
\(860\) | −6.94282e14 | + | 1.20253e15i | −0.0503262 | + | 0.0871675i | ||||
\(861\) | 3.85875e15 | − | 1.19288e16i | 0.277926 | − | 0.859170i | ||||
\(862\) | −2.83167e15 | − | 4.90460e15i | −0.202653 | − | 0.351005i | ||||
\(863\) | −1.23842e16 | −0.880662 | −0.440331 | − | 0.897836i | \(-0.645139\pi\) | ||||
−0.440331 | + | 0.897836i | \(0.645139\pi\) | |||||||
\(864\) | 5.00267e14 | + | 4.58741e15i | 0.0353490 | + | 0.324147i | ||||
\(865\) | 1.76351e15 | 0.123819 | ||||||||
\(866\) | −9.48292e15 | − | 1.64249e16i | −0.661597 | − | 1.14592i | ||||
\(867\) | 1.07053e16 | − | 3.30940e16i | 0.742154 | − | 2.29427i | ||||
\(868\) | 7.29252e13 | − | 1.26310e14i | 0.00502365 | − | 0.00870121i | ||||
\(869\) | −8.80354e15 | + | 1.52482e16i | −0.602627 | + | 1.04378i | ||||
\(870\) | 3.76662e15 | − | 8.05744e14i | 0.256210 | − | 0.0548077i | ||||
\(871\) | −8.70514e14 | − | 1.50778e15i | −0.0588405 | − | 0.101915i | ||||
\(872\) | −1.50107e16 | −1.00823 | ||||||||
\(873\) | −3.53084e14 | + | 3.44560e15i | −0.0235668 | + | 0.229978i | ||||
\(874\) | 2.68444e15 | 0.178049 | ||||||||
\(875\) | −1.04312e16 | − | 1.80673e16i | −0.687526 | − | 1.19083i | ||||
\(876\) | −2.36594e15 | − | 2.62077e15i | −0.154964 | − | 0.171655i | ||||
\(877\) | 7.81936e15 | − | 1.35435e16i | 0.508948 | − | 0.881524i | −0.490998 | − | 0.871161i | \(-0.663368\pi\) |
0.999946 | − | 0.0103636i | \(-0.00329888\pi\) | |||||||
\(878\) | −7.38636e15 | + | 1.27935e16i | −0.477761 | + | 0.827506i | ||||
\(879\) | 2.72253e15 | + | 3.01577e15i | 0.174998 | + | 0.193847i | ||||
\(880\) | 1.10220e16 | + | 1.90906e16i | 0.704051 | + | 1.21945i | ||||
\(881\) | −1.07848e16 | −0.684613 | −0.342306 | − | 0.939588i | \(-0.611208\pi\) | ||||
−0.342306 | + | 0.939588i | \(0.611208\pi\) | |||||||
\(882\) | 3.16384e15 | + | 2.28611e15i | 0.199589 | + | 0.144218i | ||||
\(883\) | −2.30171e16 | −1.44300 | −0.721500 | − | 0.692414i | \(-0.756547\pi\) | ||||
−0.721500 | + | 0.692414i | \(0.756547\pi\) | |||||||
\(884\) | −3.07381e14 | − | 5.32400e14i | −0.0191509 | − | 0.0331704i | ||||
\(885\) | 1.00408e15 | − | 2.14789e14i | 0.0621699 | − | 0.0132992i | ||||
\(886\) | 1.36810e16 | − | 2.36962e16i | 0.841845 | − | 1.45812i | ||||
\(887\) | −2.32130e15 | + | 4.02060e15i | −0.141955 | + | 0.245873i | −0.928233 | − | 0.372000i | \(-0.878672\pi\) |
0.786278 | + | 0.617873i | \(0.212006\pi\) | |||||||
\(888\) | −4.28664e15 | + | 1.32516e16i | −0.260523 | + | 0.805370i | ||||
\(889\) | 7.56121e15 | + | 1.30964e16i | 0.456701 | + | 0.791029i | ||||
\(890\) | 4.66906e15 | 0.280275 | ||||||||
\(891\) | −8.08274e15 | + | 9.07129e15i | −0.482205 | + | 0.541180i | ||||
\(892\) | 2.06793e15 | 0.122611 | ||||||||
\(893\) | 7.41942e15 | + | 1.28508e16i | 0.437207 | + | 0.757264i | ||||
\(894\) | −6.93249e15 | + | 2.14308e16i | −0.406006 | + | 1.25511i | ||||
\(895\) | −4.39146e15 | + | 7.60623e15i | −0.255612 | + | 0.442734i | ||||
\(896\) | 8.91370e15 | − | 1.54390e16i | 0.515661 | − | 0.893151i | ||||
\(897\) | 4.02661e14 | − | 8.61361e13i | 0.0231516 | − | 0.00495252i | ||||
\(898\) | 5.19811e15 | + | 9.00340e15i | 0.297048 | + | 0.514501i | ||||
\(899\) | 1.73887e14 | 0.00987616 | ||||||||
\(900\) | −4.53011e15 | − | 3.27334e15i | −0.255726 | − | 0.184781i | ||||
\(901\) | −3.17096e16 | −1.77912 | ||||||||
\(902\) | −7.20896e15 | − | 1.24863e16i | −0.402010 | − | 0.696301i | ||||
\(903\) | 3.80262e15 | + | 4.21220e15i | 0.210766 | + | 0.233467i | ||||
\(904\) | 1.41506e16 | − | 2.45095e16i | 0.779556 | − | 1.35023i | ||||
\(905\) | −1.41033e16 | + | 2.44277e16i | −0.772244 | + | 1.33757i | ||||
\(906\) | −1.98727e16 | − | 2.20132e16i | −1.08156 | − | 1.19806i | ||||
\(907\) | −2.96139e15 | − | 5.12928e15i | −0.160197 | − | 0.277470i | 0.774742 | − | 0.632277i | \(-0.217880\pi\) |
−0.934939 | + | 0.354808i | \(0.884546\pi\) | |||||||
\(908\) | −1.10909e15 | −0.0596342 | ||||||||
\(909\) | −2.23228e15 | + | 2.17839e16i | −0.119302 | + | 1.16422i | ||||
\(910\) | 3.83953e15 | 0.203962 | ||||||||
\(911\) | −1.04863e16 | − | 1.81627e16i | −0.553694 | − | 0.959025i | −0.998004 | − | 0.0631524i | \(-0.979885\pi\) |
0.444310 | − | 0.895873i | \(-0.353449\pi\) | |||||||
\(912\) | −1.86052e16 | + | 3.97996e15i | −0.976476 | + | 0.208885i | ||||
\(913\) | 1.82069e15 | − | 3.15353e15i | 0.0949832 | − | 0.164516i | ||||
\(914\) | 8.17627e15 | − | 1.41617e16i | 0.423986 | − | 0.734365i | ||||
\(915\) | 9.28433e15 | − | 2.87013e16i | 0.478558 | − | 1.47940i | ||||
\(916\) | −1.40155e14 | − | 2.42755e14i | −0.00718095 | − | 0.0124378i | ||||
\(917\) | 3.06060e15 | 0.155874 | ||||||||
\(918\) | 3.60304e16 | + | 1.58736e16i | 1.82404 | + | 0.803599i | ||||
\(919\) | 2.72097e16 | 1.36927 | 0.684635 | − | 0.728886i | \(-0.259962\pi\) | ||||
0.684635 | + | 0.728886i | \(0.259962\pi\) | |||||||
\(920\) | 2.89227e15 | + | 5.00956e15i | 0.144679 | + | 0.250592i | ||||
\(921\) | −7.46714e15 | + | 2.30836e16i | −0.371301 | + | 1.14783i | ||||
\(922\) | −1.74352e16 | + | 3.01986e16i | −0.861801 | + | 1.49268i | ||||
\(923\) | −1.53607e15 | + | 2.66056e15i | −0.0754749 | + | 0.130726i | ||||
\(924\) | −2.09881e15 | + | 4.48972e14i | −0.102513 | + | 0.0219292i | ||||
\(925\) | −1.85305e16 | − | 3.20958e16i | −0.899722 | − | 1.55836i | ||||
\(926\) | 2.55627e16 | 1.23380 | ||||||||
\(927\) | 1.83194e16 | − | 8.21352e15i | 0.878968 | − | 0.394086i | ||||
\(928\) | −9.71879e14 | −0.0463552 | ||||||||
\(929\) | 1.29248e15 | + | 2.23865e15i | 0.0612828 | + | 0.106145i | 0.895039 | − | 0.445988i | \(-0.147148\pi\) |
−0.833756 | + | 0.552133i | \(0.813814\pi\) | |||||||
\(930\) | −1.82019e15 | − | 2.01624e15i | −0.0857946 | − | 0.0950356i | ||||
\(931\) | −2.13737e15 | + | 3.70203e15i | −0.100151 | + | 0.173467i | ||||
\(932\) | 1.80315e14 | − | 3.12315e14i | 0.00839933 | − | 0.0145481i | ||||
\(933\) | 2.12786e16 | + | 2.35705e16i | 0.985356 | + | 1.09149i | ||||
\(934\) | −1.53960e16 | − | 2.66667e16i | −0.708763 | − | 1.22761i | ||||
\(935\) | 4.99573e16 | 2.28631 | ||||||||
\(936\) | −2.27764e15 | + | 1.02118e15i | −0.103626 | + | 0.0464607i | ||||
\(937\) | 2.66214e16 | 1.20410 | 0.602052 | − | 0.798457i | \(-0.294350\pi\) | ||||
0.602052 | + | 0.798457i | \(0.294350\pi\) | |||||||
\(938\) | 9.84864e15 | + | 1.70583e16i | 0.442854 | + | 0.767046i | ||||
\(939\) | −1.53036e15 | + | 3.27370e14i | −0.0684121 | + | 0.0146345i | ||||
\(940\) | 3.15060e15 | − | 5.45700e15i | 0.140020 | − | 0.242522i | ||||
\(941\) | −1.09224e16 | + | 1.89181e16i | −0.482585 | + | 0.835863i | −0.999800 | − | 0.0199932i | \(-0.993636\pi\) |
0.517215 | + | 0.855856i | \(0.326969\pi\) | |||||||
\(942\) | 1.64349e15 | − | 5.08063e15i | 0.0721917 | − | 0.223171i | ||||
\(943\) | −2.21179e15 | − | 3.83094e15i | −0.0965896 | − | 0.167298i | ||||
\(944\) | −9.75375e14 | −0.0423473 | ||||||||
\(945\) | −2.80405e16 | + | 2.05403e16i | −1.21035 | + | 0.886609i | ||||
\(946\) | 6.52590e15 | 0.280052 | ||||||||
\(947\) | −1.26567e15 | − | 2.19220e15i | −0.0540000 | − | 0.0935308i | 0.837762 | − | 0.546036i | \(-0.183864\pi\) |
−0.891762 | + | 0.452505i | \(0.850530\pi\) | |||||||
\(948\) | −1.98614e15 | + | 6.13989e15i | −0.0842490 | + | 0.260444i | ||||
\(949\) | 2.09799e15 | − | 3.63383e15i | 0.0884788 | − | 0.153250i | ||||
\(950\) | 2.16505e16 | − | 3.74998e16i | 0.907795 | − | 1.57235i | ||||
\(951\) | 1.48000e16 | − | 3.16597e15i | 0.616978 | − | 0.131982i | ||||
\(952\) | −1.76469e16 | − | 3.05654e16i | −0.731418 | − | 1.26685i | ||||
\(953\) | 1.45008e16 | 0.597559 | 0.298779 | − | 0.954322i | \(-0.403421\pi\) | ||||
0.298779 | + | 0.954322i | \(0.403421\pi\) | |||||||
\(954\) | 2.58641e15 | − | 2.52397e16i | 0.105970 | − | 1.03411i | ||||
\(955\) | −2.22913e16 | −0.908065 | ||||||||
\(956\) | −1.69588e15 | − | 2.93735e15i | −0.0686874 | − | 0.118970i | ||||
\(957\) | −1.71469e15 | − | 1.89938e15i | −0.0690511 | − | 0.0764887i | ||||
\(958\) | −8.98024e15 | + | 1.55542e16i | −0.359565 | + | 0.622785i | ||||
\(959\) | −3.39093e15 | + | 5.87326e15i | −0.134994 | + | 0.233817i | ||||
\(960\) | −2.27134e16 | − | 2.51599e16i | −0.899063 | − | 0.995901i | ||||
\(961\) | 1.26429e16 | + | 2.18982e16i | 0.497587 | + | 0.861846i | ||||
\(962\) | 3.26178e15 | 0.127641 | ||||||||
\(963\) | −2.40456e16 | − | 1.73747e16i | −0.935602 | − | 0.676042i | ||||
\(964\) | −3.37761e15 | −0.130673 | ||||||||
\(965\) | 3.56272e15 | + | 6.17081e15i | 0.137051 | + | 0.237379i | ||||
\(966\) | −4.55554e15 | + | 9.74508e14i | −0.174247 | + | 0.0372744i | ||||
\(967\) | −2.37719e16 | + | 4.11741e16i | −0.904103 | + | 1.56595i | −0.0819858 | + | 0.996633i | \(0.526126\pi\) |
−0.822117 | + | 0.569319i | \(0.807207\pi\) | |||||||
\(968\) | −5.65705e15 | + | 9.79830e15i | −0.213932 | + | 0.370541i | ||||
\(969\) | −1.32709e16 | + | 4.10251e16i | −0.499020 | + | 1.54265i | ||||
\(970\) | 5.69760e15 | + | 9.86854e15i | 0.213033 | + | 0.368985i | ||||
\(971\) | −1.80301e16 | −0.670336 | −0.335168 | − | 0.942158i | \(-0.608793\pi\) | ||||
−0.335168 | + | 0.942158i | \(0.608793\pi\) | |||||||
\(972\) | −2.20138e15 | + | 3.87084e15i | −0.0813824 | + | 0.143100i | ||||
\(973\) | 7.23494e15 | 0.265959 | ||||||||
\(974\) | 7.55955e15 | + | 1.30935e16i | 0.276326 | + | 0.478610i | ||||
\(975\) | 2.04428e15 | − | 6.31960e15i | 0.0743044 | − | 0.229702i | ||||
\(976\) | −1.43274e16 | + | 2.48159e16i | −0.517839 | + | 0.896923i | ||||
\(977\) | 1.79648e16 | − | 3.11159e16i | 0.645657 | − | 1.11831i | −0.338492 | − | 0.940969i | \(-0.609917\pi\) |
0.984149 | − | 0.177342i | \(-0.0567498\pi\) | |||||||
\(978\) | 1.18600e16 | − | 2.53706e15i | 0.423859 | − | 0.0906707i | ||||
\(979\) | −1.55089e15 | − | 2.68621e15i | −0.0551157 | − | 0.0954632i | ||||
\(980\) | 1.81524e15 | 0.0641490 | ||||||||
\(981\) | −2.57953e16 | − | 1.86390e16i | −0.906485 | − | 0.655003i | ||||
\(982\) | 3.72777e15 | 0.130267 | ||||||||
\(983\) | −2.49920e16 | − | 4.32875e16i | −0.868475 | − | 1.50424i | −0.863555 | − | 0.504255i | \(-0.831767\pi\) |
−0.00492073 | − | 0.999988i | \(-0.501566\pi\) | |||||||
\(984\) | 1.79687e16 | + | 1.99041e16i | 0.620930 | + | 0.687811i | ||||
\(985\) | 8.16793e15 | − | 1.41473e16i | 0.280681 | − | 0.486153i | ||||
\(986\) | −4.14606e15 | + | 7.18119e15i | −0.141681 | + | 0.245399i | ||||
\(987\) | −1.72560e16 | − | 1.91147e16i | −0.586403 | − | 0.649564i | ||||
\(988\) | 2.69345e14 | + | 4.66520e14i | 0.00910220 | + | 0.0157655i | ||||
\(989\) | 2.00222e15 | 0.0672873 | ||||||||
\(990\) | −4.07480e15 | + | 3.97642e16i | −0.136180 | + | 1.32892i | ||||
\(991\) | −2.65092e16 | −0.881033 | −0.440516 | − | 0.897745i | \(-0.645205\pi\) | ||||
−0.440516 | + | 0.897745i | \(0.645205\pi\) | |||||||
\(992\) | 3.42683e14 | + | 5.93544e14i | 0.0113260 | + | 0.0196173i | ||||
\(993\) | −8.39725e15 | + | 1.79631e15i | −0.276004 | + | 0.0590420i | ||||
\(994\) | 1.73785e16 | − | 3.01005e16i | 0.568051 | − | 0.983893i | ||||
\(995\) | −1.34784e16 | + | 2.33453e16i | −0.438139 | + | 0.758879i | ||||
\(996\) | 4.10761e14 | − | 1.26981e15i | 0.0132789 | − | 0.0410500i | ||||
\(997\) | −1.24882e16 | − | 2.16302e16i | −0.401492 | − | 0.695404i | 0.592415 | − | 0.805633i | \(-0.298175\pi\) |
−0.993906 | + | 0.110230i | \(0.964841\pi\) | |||||||
\(998\) | −5.99161e16 | −1.91569 | ||||||||
\(999\) | −2.38211e16 | + | 1.74495e16i | −0.757446 | + | 0.554847i |
(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 | 9.12.c.a.4.3 | ✓ | 20 | |
3.2 | odd | 2 | 27.12.c.a.10.8 | 20 | |||
9.2 | odd | 6 | 27.12.c.a.19.8 | 20 | |||
9.4 | even | 3 | 81.12.a.e.1.8 | 10 | |||
9.5 | odd | 6 | 81.12.a.c.1.3 | 10 | |||
9.7 | even | 3 | inner | 9.12.c.a.7.3 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9.12.c.a.4.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
9.12.c.a.7.3 | yes | 20 | 9.7 | even | 3 | inner | |
27.12.c.a.10.8 | 20 | 3.2 | odd | 2 | |||
27.12.c.a.19.8 | 20 | 9.2 | odd | 6 | |||
81.12.a.c.1.3 | 10 | 9.5 | odd | 6 | |||
81.12.a.e.1.8 | 10 | 9.4 | even | 3 |