Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,10,Mod(10,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.10");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.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: | \(19.0563259381\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 10.17 | ||
Character | \(\chi\) | \(=\) | 37.10 |
Dual form | 37.10.c.a.26.17 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.81916 | − | 8.34702i | 0.212979 | − | 0.368890i | −0.739667 | − | 0.672973i | \(-0.765017\pi\) |
0.952645 | + | 0.304084i | \(0.0983502\pi\) | |||||||
\(3\) | −93.7353 | − | 162.354i | −0.668125 | − | 1.15723i | −0.978428 | − | 0.206588i | \(-0.933764\pi\) |
0.310303 | − | 0.950638i | \(-0.399569\pi\) | |||||||
\(4\) | 209.551 | + | 362.954i | 0.409280 | + | 0.708894i | ||||
\(5\) | −535.707 | − | 927.872i | −0.383321 | − | 0.663931i | 0.608214 | − | 0.793773i | \(-0.291886\pi\) |
−0.991535 | + | 0.129842i | \(0.958553\pi\) | |||||||
\(6\) | −1806.90 | −0.569185 | ||||||||
\(7\) | 5666.05 | + | 9813.89i | 0.891948 | + | 1.54490i | 0.837537 | + | 0.546380i | \(0.183995\pi\) |
0.0544104 | + | 0.998519i | \(0.482672\pi\) | |||||||
\(8\) | 8974.26 | 0.774629 | ||||||||
\(9\) | −7731.11 | + | 13390.7i | −0.392781 | + | 0.680317i | ||||
\(10\) | −10326.6 | −0.326556 | ||||||||
\(11\) | 18602.9 | 0.383101 | 0.191550 | − | 0.981483i | \(-0.438648\pi\) | ||||
0.191550 | + | 0.981483i | \(0.438648\pi\) | |||||||
\(12\) | 39284.7 | − | 68043.2i | 0.546900 | − | 0.947259i | ||||
\(13\) | 32706.8 | + | 56649.8i | 0.317609 | + | 0.550114i | 0.979989 | − | 0.199054i | \(-0.0637868\pi\) |
−0.662380 | + | 0.749168i | \(0.730454\pi\) | |||||||
\(14\) | 109222. | 0.759863 | ||||||||
\(15\) | −100429. | + | 173949.i | −0.512212 | + | 0.887177i | ||||
\(16\) | −64042.0 | + | 110924.i | −0.244301 | + | 0.423142i | ||||
\(17\) | 178999. | − | 310035.i | 0.519792 | − | 0.900306i | −0.479943 | − | 0.877300i | \(-0.659343\pi\) |
0.999735 | − | 0.0230067i | \(-0.00732389\pi\) | |||||||
\(18\) | 74514.8 | + | 129063.i | 0.167308 | + | 0.289786i | ||||
\(19\) | −82505.0 | − | 142903.i | −0.145241 | − | 0.251565i | 0.784222 | − | 0.620481i | \(-0.213062\pi\) |
−0.929463 | + | 0.368916i | \(0.879729\pi\) | |||||||
\(20\) | 224516. | − | 388874.i | 0.313771 | − | 0.543468i | ||||
\(21\) | 1.06222e6 | − | 1.83982e6i | 1.19186 | − | 2.06437i | ||||
\(22\) | 89650.2 | − | 155279.i | 0.0815923 | − | 0.141322i | ||||
\(23\) | −129062. | −0.0961665 | −0.0480832 | − | 0.998843i | \(-0.515311\pi\) | ||||
−0.0480832 | + | 0.998843i | \(0.515311\pi\) | |||||||
\(24\) | −841205. | − | 1.45701e6i | −0.517549 | − | 0.896420i | ||||
\(25\) | 402599. | − | 697321.i | 0.206131 | − | 0.357029i | ||||
\(26\) | 630476. | 0.270575 | ||||||||
\(27\) | −791273. | −0.286543 | ||||||||
\(28\) | −2.37466e6 | + | 4.11303e6i | −0.730113 | + | 1.26459i | ||||
\(29\) | 5.59872e6 | 1.46993 | 0.734967 | − | 0.678103i | \(-0.237198\pi\) | ||||
0.734967 | + | 0.678103i | \(0.237198\pi\) | |||||||
\(30\) | 967969. | + | 1.67657e6i | 0.218180 | + | 0.377899i | ||||
\(31\) | 5.01231e6 | 0.974788 | 0.487394 | − | 0.873182i | \(-0.337947\pi\) | ||||
0.487394 | + | 0.873182i | \(0.337947\pi\) | |||||||
\(32\) | 2.91467e6 | + | 5.04835e6i | 0.491376 | + | 0.851088i | ||||
\(33\) | −1.74375e6 | − | 3.02026e6i | −0.255959 | − | 0.443334i | ||||
\(34\) | −1.72524e6 | − | 2.98821e6i | −0.221409 | − | 0.383492i | ||||
\(35\) | 6.07069e6 | − | 1.05147e7i | 0.683804 | − | 1.18438i | ||||
\(36\) | −6.48026e6 | −0.643030 | ||||||||
\(37\) | 4.12592e6 | − | 1.06273e7i | 0.361921 | − | 0.932209i | ||||
\(38\) | −1.59042e6 | −0.123733 | ||||||||
\(39\) | 6.13155e6 | − | 1.06202e7i | 0.424404 | − | 0.735090i | ||||
\(40\) | −4.80757e6 | − | 8.32696e6i | −0.296931 | − | 0.514300i | ||||
\(41\) | 8.84591e6 | + | 1.53216e7i | 0.488894 | + | 0.846790i | 0.999918 | − | 0.0127764i | \(-0.00406697\pi\) |
−0.511024 | + | 0.859567i | \(0.670734\pi\) | |||||||
\(42\) | −1.02380e7 | − | 1.77327e7i | −0.507683 | − | 0.879333i | ||||
\(43\) | −2.70734e7 | −1.20763 | −0.603816 | − | 0.797124i | \(-0.706354\pi\) | ||||
−0.603816 | + | 0.797124i | \(0.706354\pi\) | |||||||
\(44\) | 3.89826e6 | + | 6.75199e6i | 0.156796 | + | 0.271578i | ||||
\(45\) | 1.65664e7 | 0.602244 | ||||||||
\(46\) | −621971. | + | 1.07728e6i | −0.0204814 | + | 0.0354748i | ||||
\(47\) | 5.87524e7 | 1.75625 | 0.878123 | − | 0.478435i | \(-0.158796\pi\) | ||||
0.878123 | + | 0.478435i | \(0.158796\pi\) | |||||||
\(48\) | 2.40120e7 | 0.652894 | ||||||||
\(49\) | −4.40315e7 | + | 7.62648e7i | −1.09114 | + | 1.88991i | ||||
\(50\) | −3.88037e6 | − | 6.72100e6i | −0.0878028 | − | 0.152079i | ||||
\(51\) | −6.71140e7 | −1.38914 | ||||||||
\(52\) | −1.37075e7 | + | 2.37421e7i | −0.259982 | + | 0.450302i | ||||
\(53\) | −1.74077e7 | + | 3.01509e7i | −0.303039 | + | 0.524879i | −0.976823 | − | 0.214049i | \(-0.931335\pi\) |
0.673784 | + | 0.738929i | \(0.264668\pi\) | |||||||
\(54\) | −3.81327e6 | + | 6.60477e6i | −0.0610275 | + | 0.105703i | ||||
\(55\) | −9.96569e6 | − | 1.72611e7i | −0.146850 | − | 0.254352i | ||||
\(56\) | 5.08486e7 | + | 8.80724e7i | 0.690928 | + | 1.19672i | ||||
\(57\) | −1.54673e7 | + | 2.67901e7i | −0.194078 | + | 0.336153i | ||||
\(58\) | 2.69811e7 | − | 4.67326e7i | 0.313064 | − | 0.542243i | ||||
\(59\) | −4.63688e7 | + | 8.03131e7i | −0.498186 | + | 0.862884i | −0.999998 | − | 0.00209289i | \(-0.999334\pi\) |
0.501811 | + | 0.864977i | \(0.332667\pi\) | |||||||
\(60\) | −8.41804e7 | −0.838553 | ||||||||
\(61\) | −1.47381e7 | − | 2.55272e7i | −0.136288 | − | 0.236058i | 0.789801 | − | 0.613363i | \(-0.210184\pi\) |
−0.926089 | + | 0.377306i | \(0.876851\pi\) | |||||||
\(62\) | 2.41551e7 | − | 4.18379e7i | 0.207609 | − | 0.359589i | ||||
\(63\) | −1.75219e8 | −1.40136 | ||||||||
\(64\) | −9.39408e6 | −0.0699914 | ||||||||
\(65\) | 3.50425e7 | − | 6.06953e7i | 0.243492 | − | 0.421740i | ||||
\(66\) | −3.36135e7 | −0.218055 | ||||||||
\(67\) | −6.09016e7 | − | 1.05485e8i | −0.369226 | − | 0.639518i | 0.620219 | − | 0.784429i | \(-0.287044\pi\) |
−0.989445 | + | 0.144911i | \(0.953710\pi\) | |||||||
\(68\) | 1.50038e8 | 0.850962 | ||||||||
\(69\) | 1.20977e7 | + | 2.09538e7i | 0.0642512 | + | 0.111286i | ||||
\(70\) | −5.85112e7 | − | 1.01344e8i | −0.291271 | − | 0.504497i | ||||
\(71\) | −8.65406e7 | − | 1.49893e8i | −0.404164 | − | 0.700032i | 0.590060 | − | 0.807360i | \(-0.299104\pi\) |
−0.994224 | + | 0.107327i | \(0.965771\pi\) | |||||||
\(72\) | −6.93810e7 | + | 1.20171e8i | −0.304259 | + | 0.526993i | ||||
\(73\) | 3.22643e8 | 1.32975 | 0.664874 | − | 0.746956i | \(-0.268485\pi\) | ||||
0.664874 | + | 0.746956i | \(0.268485\pi\) | |||||||
\(74\) | −6.88224e7 | − | 8.56536e7i | −0.266801 | − | 0.332049i | ||||
\(75\) | −1.50951e8 | −0.550884 | ||||||||
\(76\) | 3.45781e7 | − | 5.98910e7i | 0.118889 | − | 0.205921i | ||||
\(77\) | 1.05405e8 | + | 1.82567e8i | 0.341706 | + | 0.591852i | ||||
\(78\) | −5.90978e7 | − | 1.02360e8i | −0.180778 | − | 0.313117i | ||||
\(79\) | 2.62049e8 | + | 4.53882e8i | 0.756939 | + | 1.31106i | 0.944405 | + | 0.328786i | \(0.106639\pi\) |
−0.187466 | + | 0.982271i | \(0.560027\pi\) | |||||||
\(80\) | 1.37231e8 | 0.374582 | ||||||||
\(81\) | 2.26342e8 | + | 3.92035e8i | 0.584227 | + | 1.01191i | ||||
\(82\) | 1.70519e8 | 0.416496 | ||||||||
\(83\) | 2.35790e7 | − | 4.08401e7i | 0.0545349 | − | 0.0944572i | −0.837469 | − | 0.546485i | \(-0.815966\pi\) |
0.892004 | + | 0.452027i | \(0.149299\pi\) | |||||||
\(84\) | 8.90357e8 | 1.95123 | ||||||||
\(85\) | −3.83563e8 | −0.796988 | ||||||||
\(86\) | −1.30471e8 | + | 2.25982e8i | −0.257200 | + | 0.445483i | ||||
\(87\) | −5.24798e8 | − | 9.08976e8i | −0.982099 | − | 1.70105i | ||||
\(88\) | 1.66947e8 | 0.296761 | ||||||||
\(89\) | 4.58496e8 | − | 7.94139e8i | 0.774606 | − | 1.34166i | −0.160410 | − | 0.987050i | \(-0.551282\pi\) |
0.935016 | − | 0.354606i | \(-0.115385\pi\) | |||||||
\(90\) | 7.98362e7 | − | 1.38280e8i | 0.128265 | − | 0.222162i | ||||
\(91\) | −3.70636e8 | + | 6.41961e8i | −0.566581 | + | 0.981346i | ||||
\(92\) | −2.70452e7 | − | 4.68436e7i | −0.0393590 | − | 0.0681718i | ||||
\(93\) | −4.69830e8 | − | 8.13770e8i | −0.651280 | − | 1.12805i | ||||
\(94\) | 2.83137e8 | − | 4.90408e8i | 0.374043 | − | 0.647861i | ||||
\(95\) | −8.83970e7 | + | 1.53108e8i | −0.111348 | + | 0.192860i | ||||
\(96\) | 5.46414e8 | − | 9.46417e8i | 0.656601 | − | 1.13727i | ||||
\(97\) | 5.93854e7 | 0.0681094 | 0.0340547 | − | 0.999420i | \(-0.489158\pi\) | ||||
0.0340547 | + | 0.999420i | \(0.489158\pi\) | |||||||
\(98\) | 4.24389e8 | + | 7.35064e8i | 0.464780 | + | 0.805022i | ||||
\(99\) | −1.43821e8 | + | 2.49105e8i | −0.150475 | + | 0.260630i | ||||
\(100\) | 3.37461e8 | 0.337461 | ||||||||
\(101\) | 7.90766e7 | 0.0756140 | 0.0378070 | − | 0.999285i | \(-0.487963\pi\) | ||||
0.0378070 | + | 0.999285i | \(0.487963\pi\) | |||||||
\(102\) | −3.23433e8 | + | 5.60202e8i | −0.295858 | + | 0.512441i | ||||
\(103\) | 1.11243e9 | 0.973878 | 0.486939 | − | 0.873436i | \(-0.338113\pi\) | ||||
0.486939 | + | 0.873436i | \(0.338113\pi\) | |||||||
\(104\) | 2.93519e8 | + | 5.08390e8i | 0.246029 | + | 0.426134i | ||||
\(105\) | −2.27615e9 | −1.82746 | ||||||||
\(106\) | 1.67780e8 | + | 2.90604e8i | 0.129082 | + | 0.223576i | ||||
\(107\) | −5.25982e8 | − | 9.11028e8i | −0.387922 | − | 0.671900i | 0.604248 | − | 0.796796i | \(-0.293474\pi\) |
−0.992170 | + | 0.124896i | \(0.960140\pi\) | |||||||
\(108\) | −1.65812e8 | − | 2.87196e8i | −0.117276 | − | 0.203129i | ||||
\(109\) | 1.15140e8 | − | 1.99428e8i | 0.0781278 | − | 0.135321i | −0.824314 | − | 0.566132i | \(-0.808439\pi\) |
0.902442 | + | 0.430811i | \(0.141772\pi\) | |||||||
\(110\) | −1.92105e8 | −0.125104 | ||||||||
\(111\) | −2.11212e9 | + | 3.26287e8i | −1.32058 | + | 0.204008i | ||||
\(112\) | −1.45146e9 | −0.871614 | ||||||||
\(113\) | 5.27678e8 | − | 9.13966e8i | 0.304450 | − | 0.527323i | −0.672688 | − | 0.739926i | \(-0.734861\pi\) |
0.977139 | + | 0.212602i | \(0.0681939\pi\) | |||||||
\(114\) | 1.49078e8 | + | 2.58211e8i | 0.0826690 | + | 0.143187i | ||||
\(115\) | 6.91395e7 | + | 1.19753e8i | 0.0368626 | + | 0.0638479i | ||||
\(116\) | 1.17322e9 | + | 2.03208e9i | 0.601615 | + | 1.04203i | ||||
\(117\) | −1.01144e9 | −0.499002 | ||||||||
\(118\) | 4.46917e8 | + | 7.74083e8i | 0.212206 | + | 0.367552i | ||||
\(119\) | 4.05686e9 | 1.85451 | ||||||||
\(120\) | −9.01278e8 | + | 1.56106e9i | −0.396774 | + | 0.687233i | ||||
\(121\) | −2.01188e9 | −0.853234 | ||||||||
\(122\) | −2.84101e8 | −0.116106 | ||||||||
\(123\) | 1.65835e9 | − | 2.87234e9i | 0.653285 | − | 1.13152i | ||||
\(124\) | 1.05034e9 | + | 1.81924e9i | 0.398962 | + | 0.691022i | ||||
\(125\) | −2.95530e9 | −1.08270 | ||||||||
\(126\) | −8.44410e8 | + | 1.46256e9i | −0.298460 | + | 0.516947i | ||||
\(127\) | −1.06948e9 | + | 1.85239e9i | −0.364800 | + | 0.631851i | −0.988744 | − | 0.149617i | \(-0.952196\pi\) |
0.623944 | + | 0.781469i | \(0.285529\pi\) | |||||||
\(128\) | −1.53758e9 | + | 2.66317e9i | −0.506283 | + | 0.876908i | ||||
\(129\) | 2.53773e9 | + | 4.39548e9i | 0.806848 | + | 1.39750i | ||||
\(130\) | −3.37750e8 | − | 5.85000e8i | −0.103717 | − | 0.179643i | ||||
\(131\) | −3.10446e8 | + | 5.37709e8i | −0.0921012 | + | 0.159524i | −0.908395 | − | 0.418113i | \(-0.862692\pi\) |
0.816294 | + | 0.577637i | \(0.196025\pi\) | |||||||
\(132\) | 7.30809e8 | − | 1.26580e9i | 0.209518 | − | 0.362896i | ||||
\(133\) | 9.34955e8 | − | 1.61939e9i | 0.259095 | − | 0.448765i | ||||
\(134\) | −1.17398e9 | −0.314549 | ||||||||
\(135\) | 4.23891e8 | + | 7.34200e8i | 0.109838 | + | 0.190245i | ||||
\(136\) | 1.60638e9 | − | 2.78233e9i | 0.402646 | − | 0.697403i | ||||
\(137\) | −4.37991e9 | −1.06224 | −0.531120 | − | 0.847297i | \(-0.678229\pi\) | ||||
−0.531120 | + | 0.847297i | \(0.678229\pi\) | |||||||
\(138\) | 2.33202e8 | 0.0547365 | ||||||||
\(139\) | −2.36158e9 | + | 4.09037e9i | −0.536581 | + | 0.929386i | 0.462504 | + | 0.886617i | \(0.346951\pi\) |
−0.999085 | + | 0.0427684i | \(0.986382\pi\) | |||||||
\(140\) | 5.08849e9 | 1.11947 | ||||||||
\(141\) | −5.50717e9 | − | 9.53870e9i | −1.17339 | − | 2.03237i | ||||
\(142\) | −1.66821e9 | −0.344313 | ||||||||
\(143\) | 6.08440e8 | + | 1.05385e9i | 0.121676 | + | 0.210749i | ||||
\(144\) | −9.90231e8 | − | 1.71513e9i | −0.191913 | − | 0.332404i | ||||
\(145\) | −2.99927e9 | − | 5.19489e9i | −0.563456 | − | 0.975934i | ||||
\(146\) | 1.55487e9 | − | 2.69311e9i | 0.283208 | − | 0.490530i | ||||
\(147\) | 1.65092e10 | 2.91607 | ||||||||
\(148\) | 4.72180e9 | − | 7.29436e8i | 0.808964 | − | 0.124971i | ||||
\(149\) | −1.00150e10 | −1.66460 | −0.832301 | − | 0.554323i | \(-0.812977\pi\) | ||||
−0.832301 | + | 0.554323i | \(0.812977\pi\) | |||||||
\(150\) | −7.27456e8 | + | 1.25999e9i | −0.117326 | + | 0.203215i | ||||
\(151\) | −3.37590e9 | − | 5.84724e9i | −0.528438 | − | 0.915281i | −0.999450 | − | 0.0331543i | \(-0.989445\pi\) |
0.471013 | − | 0.882126i | \(-0.343889\pi\) | |||||||
\(152\) | −7.40421e8 | − | 1.28245e9i | −0.112508 | − | 0.194869i | ||||
\(153\) | 2.76772e9 | + | 4.79382e9i | 0.408329 | + | 0.707246i | ||||
\(154\) | 2.03185e9 | 0.291104 | ||||||||
\(155\) | −2.68513e9 | − | 4.65078e9i | −0.373657 | − | 0.647192i | ||||
\(156\) | 5.13950e9 | 0.694801 | ||||||||
\(157\) | −6.18312e9 | + | 1.07095e10i | −0.812193 | + | 1.40676i | 0.0991328 | + | 0.995074i | \(0.468393\pi\) |
−0.911326 | + | 0.411686i | \(0.864940\pi\) | |||||||
\(158\) | 5.05142e9 | 0.644847 | ||||||||
\(159\) | 6.52685e9 | 0.809872 | ||||||||
\(160\) | 3.12281e9 | − | 5.40887e9i | 0.376709 | − | 0.652480i | ||||
\(161\) | −7.31273e8 | − | 1.26660e9i | −0.0857755 | − | 0.148567i | ||||
\(162\) | 4.36310e9 | 0.497712 | ||||||||
\(163\) | −7.18809e9 | + | 1.24501e10i | −0.797571 | + | 1.38143i | 0.123623 | + | 0.992329i | \(0.460549\pi\) |
−0.921194 | + | 0.389104i | \(0.872785\pi\) | |||||||
\(164\) | −3.70735e9 | + | 6.42131e9i | −0.400190 | + | 0.693149i | ||||
\(165\) | −1.86827e9 | + | 3.23595e9i | −0.196229 | + | 0.339878i | ||||
\(166\) | −2.27262e8 | − | 3.93629e8i | −0.0232295 | − | 0.0402347i | ||||
\(167\) | 4.35845e8 | + | 7.54905e8i | 0.0433618 | + | 0.0751049i | 0.886892 | − | 0.461977i | \(-0.152860\pi\) |
−0.843530 | + | 0.537082i | \(0.819527\pi\) | |||||||
\(168\) | 9.53262e9 | − | 1.65110e10i | 0.923253 | − | 1.59912i | ||||
\(169\) | 3.16279e9 | − | 5.47811e9i | 0.298249 | − | 0.516583i | ||||
\(170\) | −1.84845e9 | + | 3.20161e9i | −0.169741 | + | 0.294001i | ||||
\(171\) | 2.55142e9 | 0.228192 | ||||||||
\(172\) | −5.67327e9 | − | 9.82639e9i | −0.494260 | − | 0.856083i | ||||
\(173\) | 2.25233e9 | − | 3.90115e9i | 0.191172 | − | 0.331120i | −0.754467 | − | 0.656338i | \(-0.772104\pi\) |
0.945639 | + | 0.325218i | \(0.105438\pi\) | |||||||
\(174\) | −1.01163e10 | −0.836664 | ||||||||
\(175\) | 9.12458e9 | 0.735431 | ||||||||
\(176\) | −1.19137e9 | + | 2.06351e9i | −0.0935919 | + | 0.162106i | ||||
\(177\) | 1.73856e10 | 1.33140 | ||||||||
\(178\) | −4.41913e9 | − | 7.65416e9i | −0.329949 | − | 0.571488i | ||||
\(179\) | 1.48739e10 | 1.08289 | 0.541447 | − | 0.840735i | \(-0.317877\pi\) | ||||
0.541447 | + | 0.840735i | \(0.317877\pi\) | |||||||
\(180\) | 3.47152e9 | + | 6.01285e9i | 0.246487 | + | 0.426927i | ||||
\(181\) | −2.99989e9 | − | 5.19596e9i | −0.207755 | − | 0.359842i | 0.743252 | − | 0.669011i | \(-0.233282\pi\) |
−0.951007 | + | 0.309169i | \(0.899949\pi\) | |||||||
\(182\) | 3.57231e9 | + | 6.18742e9i | 0.241339 | + | 0.418012i | ||||
\(183\) | −2.76296e9 | + | 4.78559e9i | −0.182115 | + | 0.315432i | ||||
\(184\) | −1.15824e9 | −0.0744933 | ||||||||
\(185\) | −1.20710e10 | + | 1.86476e9i | −0.757654 | + | 0.117045i | ||||
\(186\) | −9.05674e9 | −0.554835 | ||||||||
\(187\) | 3.32989e9 | − | 5.76754e9i | 0.199133 | − | 0.344908i | ||||
\(188\) | 1.23117e10 | + | 2.13244e10i | 0.718797 | + | 1.24499i | ||||
\(189\) | −4.48340e9 | − | 7.76547e9i | −0.255581 | − | 0.442680i | ||||
\(190\) | 8.51998e8 | + | 1.47570e9i | 0.0474294 | + | 0.0821501i | ||||
\(191\) | −1.51894e10 | −0.825832 | −0.412916 | − | 0.910769i | \(-0.635490\pi\) | ||||
−0.412916 | + | 0.910769i | \(0.635490\pi\) | |||||||
\(192\) | 8.80557e8 | + | 1.52517e9i | 0.0467630 | + | 0.0809958i | ||||
\(193\) | −1.31175e10 | −0.680522 | −0.340261 | − | 0.940331i | \(-0.610515\pi\) | ||||
−0.340261 | + | 0.940331i | \(0.610515\pi\) | |||||||
\(194\) | 2.86187e8 | − | 4.95691e8i | 0.0145058 | − | 0.0251248i | ||||
\(195\) | −1.31389e10 | −0.650732 | ||||||||
\(196\) | −3.69075e10 | −1.78633 | ||||||||
\(197\) | 1.30980e10 | − | 2.26865e10i | 0.619596 | − | 1.07317i | −0.369964 | − | 0.929046i | \(-0.620630\pi\) |
0.989559 | − | 0.144125i | \(-0.0460368\pi\) | |||||||
\(198\) | 1.38619e9 | + | 2.40095e9i | 0.0640958 | + | 0.111017i | ||||
\(199\) | 1.55156e10 | 0.701342 | 0.350671 | − | 0.936499i | \(-0.385953\pi\) | ||||
0.350671 | + | 0.936499i | \(0.385953\pi\) | |||||||
\(200\) | 3.61303e9 | − | 6.25794e9i | 0.159675 | − | 0.276565i | ||||
\(201\) | −1.14173e10 | + | 1.97753e10i | −0.493378 | + | 0.854555i | ||||
\(202\) | 3.81083e8 | − | 6.60054e8i | 0.0161042 | − | 0.0278932i | ||||
\(203\) | 3.17226e10 | + | 5.49452e10i | 1.31110 | + | 2.27090i | ||||
\(204\) | −1.40638e10 | − | 2.43593e10i | −0.568549 | − | 0.984756i | ||||
\(205\) | 9.47763e9 | − | 1.64157e10i | 0.374807 | − | 0.649184i | ||||
\(206\) | 5.36096e9 | − | 9.28546e9i | 0.207415 | − | 0.359254i | ||||
\(207\) | 9.97793e8 | − | 1.72823e9i | 0.0377723 | − | 0.0654236i | ||||
\(208\) | −8.37842e9 | −0.310368 | ||||||||
\(209\) | −1.53483e9 | − | 2.65840e9i | −0.0556419 | − | 0.0963747i | ||||
\(210\) | −1.09691e10 | + | 1.89991e10i | −0.389211 | + | 0.674133i | ||||
\(211\) | −4.95087e10 | −1.71953 | −0.859766 | − | 0.510689i | \(-0.829391\pi\) | ||||
−0.859766 | + | 0.510689i | \(0.829391\pi\) | |||||||
\(212\) | −1.45912e10 | −0.496112 | ||||||||
\(213\) | −1.62238e10 | + | 2.81005e10i | −0.540064 | + | 0.935418i | ||||
\(214\) | −1.01392e10 | −0.330476 | ||||||||
\(215\) | 1.45034e10 | + | 2.51206e10i | 0.462910 | + | 0.801784i | ||||
\(216\) | −7.10109e9 | −0.221964 | ||||||||
\(217\) | 2.84000e10 | + | 4.91903e10i | 0.869460 | + | 1.50595i | ||||
\(218\) | −1.10975e9 | − | 1.92215e9i | −0.0332791 | − | 0.0576411i | ||||
\(219\) | −3.02430e10 | − | 5.23824e10i | −0.888437 | − | 1.53882i | ||||
\(220\) | 4.17665e9 | − | 7.23417e9i | 0.120206 | − | 0.208203i | ||||
\(221\) | 2.34179e10 | 0.660362 | ||||||||
\(222\) | −7.45513e9 | + | 1.92024e10i | −0.206000 | + | 0.530599i | ||||
\(223\) | 6.70641e10 | 1.81601 | 0.908005 | − | 0.418959i | \(-0.137605\pi\) | ||||
0.908005 | + | 0.418959i | \(0.137605\pi\) | |||||||
\(224\) | −3.30293e10 | + | 5.72085e10i | −0.876564 | + | 1.51825i | ||||
\(225\) | 6.22507e9 | + | 1.07821e10i | 0.161928 | + | 0.280468i | ||||
\(226\) | −5.08593e9 | − | 8.80909e9i | −0.129683 | − | 0.224617i | ||||
\(227\) | 1.75101e10 | + | 3.03284e10i | 0.437695 | + | 0.758111i | 0.997511 | − | 0.0705063i | \(-0.0224615\pi\) |
−0.559816 | + | 0.828617i | \(0.689128\pi\) | |||||||
\(228\) | −1.29647e10 | −0.317729 | ||||||||
\(229\) | −2.18914e10 | − | 3.79169e10i | −0.526033 | − | 0.911116i | −0.999540 | − | 0.0303260i | \(-0.990345\pi\) |
0.473507 | − | 0.880790i | \(-0.342988\pi\) | |||||||
\(230\) | 1.33278e9 | 0.0314038 | ||||||||
\(231\) | 1.97603e10 | − | 3.42259e10i | 0.456604 | − | 0.790862i | ||||
\(232\) | 5.02444e10 | 1.13865 | ||||||||
\(233\) | −2.48727e10 | −0.552867 | −0.276433 | − | 0.961033i | \(-0.589153\pi\) | ||||
−0.276433 | + | 0.961033i | \(0.589153\pi\) | |||||||
\(234\) | −4.87427e9 | + | 8.44249e9i | −0.106277 | + | 0.184077i | ||||
\(235\) | −3.14741e10 | − | 5.45147e10i | −0.673205 | − | 1.16603i | ||||
\(236\) | −3.88666e10 | −0.815591 | ||||||||
\(237\) | 4.91265e10 | − | 8.50896e10i | 1.01146 | − | 1.75190i | ||||
\(238\) | 1.95507e10 | − | 3.38627e10i | 0.394971 | − | 0.684109i | ||||
\(239\) | −2.85026e10 | + | 4.93680e10i | −0.565060 | + | 0.978712i | 0.431985 | + | 0.901881i | \(0.357813\pi\) |
−0.997044 | + | 0.0768309i | \(0.975520\pi\) | |||||||
\(240\) | −1.28634e10 | − | 2.22800e10i | −0.250268 | − | 0.433476i | ||||
\(241\) | 5.41590e9 | + | 9.38061e9i | 0.103417 | + | 0.179124i | 0.913091 | − | 0.407757i | \(-0.133689\pi\) |
−0.809673 | + | 0.586881i | \(0.800356\pi\) | |||||||
\(242\) | −9.69556e9 | + | 1.67932e10i | −0.181721 | + | 0.314749i | ||||
\(243\) | 3.46451e10 | − | 6.00070e10i | 0.637402 | − | 1.10401i | ||||
\(244\) | 6.17678e9 | − | 1.06985e10i | 0.111560 | − | 0.193227i | ||||
\(245\) | 9.43519e10 | 1.67303 | ||||||||
\(246\) | −1.59837e10 | − | 2.76845e10i | −0.278271 | − | 0.481980i | ||||
\(247\) | 5.39694e9 | − | 9.34778e9i | 0.0922596 | − | 0.159798i | ||||
\(248\) | 4.49818e10 | 0.755099 | ||||||||
\(249\) | −8.84074e9 | −0.145744 | ||||||||
\(250\) | −1.42421e10 | + | 2.46680e10i | −0.230591 | + | 0.399396i | ||||
\(251\) | −6.49736e10 | −1.03325 | −0.516625 | − | 0.856212i | \(-0.672812\pi\) | ||||
−0.516625 | + | 0.856212i | \(0.672812\pi\) | |||||||
\(252\) | −3.67175e10 | − | 6.35966e10i | −0.573549 | − | 0.993416i | ||||
\(253\) | −2.40093e9 | −0.0368415 | ||||||||
\(254\) | 1.03079e10 | + | 1.78539e10i | 0.155389 | + | 0.269142i | ||||
\(255\) | 3.59534e10 | + | 6.22731e10i | 0.532487 | + | 0.922295i | ||||
\(256\) | 1.24148e10 | + | 2.15031e10i | 0.180659 | + | 0.312911i | ||||
\(257\) | 3.92835e10 | − | 6.80411e10i | 0.561709 | − | 0.972909i | −0.435638 | − | 0.900122i | \(-0.643477\pi\) |
0.997348 | − | 0.0727871i | \(-0.0231893\pi\) | |||||||
\(258\) | 4.89189e10 | 0.687366 | ||||||||
\(259\) | 1.27672e11 | − | 1.97232e10i | 1.76298 | − | 0.272351i | ||||
\(260\) | 2.93728e10 | 0.398626 | ||||||||
\(261\) | −4.32843e10 | + | 7.49706e10i | −0.577362 | + | 1.00002i | ||||
\(262\) | 2.99218e9 | + | 5.18260e9i | 0.0392312 | + | 0.0679504i | ||||
\(263\) | 2.73207e10 | + | 4.73208e10i | 0.352120 | + | 0.609889i | 0.986621 | − | 0.163033i | \(-0.0521277\pi\) |
−0.634501 | + | 0.772922i | \(0.718794\pi\) | |||||||
\(264\) | −1.56488e10 | − | 2.71046e10i | −0.198273 | − | 0.343419i | ||||
\(265\) | 3.73016e10 | 0.464645 | ||||||||
\(266\) | −9.01139e9 | − | 1.56082e10i | −0.110363 | − | 0.191155i | ||||
\(267\) | −1.71909e11 | −2.07013 | ||||||||
\(268\) | 2.55240e10 | − | 4.42089e10i | 0.302234 | − | 0.523484i | ||||
\(269\) | −5.73847e10 | −0.668207 | −0.334103 | − | 0.942536i | \(-0.608433\pi\) | ||||
−0.334103 | + | 0.942536i | \(0.608433\pi\) | |||||||
\(270\) | 8.17118e9 | 0.0935724 | ||||||||
\(271\) | −7.90061e9 | + | 1.36843e10i | −0.0889813 | + | 0.154120i | −0.907081 | − | 0.420957i | \(-0.861694\pi\) |
0.818099 | + | 0.575077i | \(0.195028\pi\) | |||||||
\(272\) | 2.29269e10 | + | 3.97105e10i | 0.253971 | + | 0.439891i | ||||
\(273\) | 1.38967e11 | 1.51419 | ||||||||
\(274\) | −2.11074e10 | + | 3.65592e10i | −0.226234 | + | 0.391849i | ||||
\(275\) | 7.48950e9 | − | 1.29722e10i | 0.0789688 | − | 0.136778i | ||||
\(276\) | −5.07017e9 | + | 8.78180e9i | −0.0525935 | + | 0.0910946i | ||||
\(277\) | −5.24754e10 | − | 9.08900e10i | −0.535546 | − | 0.927592i | −0.999137 | − | 0.0415429i | \(-0.986773\pi\) |
0.463591 | − | 0.886049i | \(-0.346561\pi\) | |||||||
\(278\) | 2.27616e10 | + | 3.94243e10i | 0.228561 | + | 0.395878i | ||||
\(279\) | −3.87507e10 | + | 6.71182e10i | −0.382878 | + | 0.663165i | ||||
\(280\) | 5.44799e10 | − | 9.43620e10i | 0.529694 | − | 0.917457i | ||||
\(281\) | −8.11097e10 | + | 1.40486e11i | −0.776058 | + | 1.34417i | 0.158140 | + | 0.987417i | \(0.449450\pi\) |
−0.934198 | + | 0.356755i | \(0.883883\pi\) | |||||||
\(282\) | −1.06160e11 | −0.999628 | ||||||||
\(283\) | −1.19731e10 | − | 2.07380e10i | −0.110960 | − | 0.192189i | 0.805197 | − | 0.593007i | \(-0.202059\pi\) |
−0.916158 | + | 0.400818i | \(0.868726\pi\) | |||||||
\(284\) | 3.62694e10 | − | 6.28205e10i | 0.330833 | − | 0.573019i | ||||
\(285\) | 3.31437e10 | 0.297577 | ||||||||
\(286\) | 1.17287e10 | 0.103658 | ||||||||
\(287\) | −1.00243e11 | + | 1.73626e11i | −0.872137 | + | 1.51059i | ||||
\(288\) | −9.01344e10 | −0.772013 | ||||||||
\(289\) | −4.78709e9 | − | 8.29149e9i | −0.0403675 | − | 0.0699185i | ||||
\(290\) | −5.78158e10 | −0.480016 | ||||||||
\(291\) | −5.56651e9 | − | 9.64147e9i | −0.0455055 | − | 0.0788179i | ||||
\(292\) | 6.76103e10 | + | 1.17104e11i | 0.544239 | + | 0.942650i | ||||
\(293\) | 3.15434e10 | + | 5.46347e10i | 0.250037 | + | 0.433076i | 0.963536 | − | 0.267580i | \(-0.0862240\pi\) |
−0.713499 | + | 0.700656i | \(0.752891\pi\) | |||||||
\(294\) | 7.95605e10 | − | 1.37803e11i | 0.621061 | − | 1.07571i | ||||
\(295\) | 9.93604e10 | 0.763861 | ||||||||
\(296\) | 3.70271e10 | − | 9.53717e10i | 0.280354 | − | 0.722116i | ||||
\(297\) | −1.47200e10 | −0.109775 | ||||||||
\(298\) | −4.82636e10 | + | 8.35950e10i | −0.354525 | + | 0.614055i | ||||
\(299\) | −4.22120e9 | − | 7.31134e9i | −0.0305433 | − | 0.0529025i | ||||
\(300\) | −3.16320e10 | − | 5.47882e10i | −0.225466 | − | 0.390518i | ||||
\(301\) | −1.53399e11 | − | 2.65695e11i | −1.07714 | − | 1.86567i | ||||
\(302\) | −6.50760e10 | −0.450184 | ||||||||
\(303\) | −7.41227e9 | − | 1.28384e10i | −0.0505195 | − | 0.0875024i | ||||
\(304\) | 2.11351e10 | 0.141930 | ||||||||
\(305\) | −1.57906e10 | + | 2.73501e10i | −0.104484 | + | 0.180972i | ||||
\(306\) | 5.33522e10 | 0.347861 | ||||||||
\(307\) | −2.03297e11 | −1.30620 | −0.653098 | − | 0.757274i | \(-0.726531\pi\) | ||||
−0.653098 | + | 0.757274i | \(0.726531\pi\) | |||||||
\(308\) | −4.41755e10 | + | 7.65142e10i | −0.279707 | + | 0.484467i | ||||
\(309\) | −1.04274e11 | − | 1.80607e11i | −0.650672 | − | 1.12700i | ||||
\(310\) | −5.17602e10 | −0.318323 | ||||||||
\(311\) | 7.74660e10 | − | 1.34175e11i | 0.469558 | − | 0.813299i | −0.529836 | − | 0.848100i | \(-0.677746\pi\) |
0.999394 | + | 0.0348013i | \(0.0110798\pi\) | |||||||
\(312\) | 5.50262e10 | − | 9.53081e10i | 0.328756 | − | 0.569422i | ||||
\(313\) | −8.48918e10 | + | 1.47037e11i | −0.499938 | + | 0.865919i | −1.00000 | 7.11850e-5i | \(-0.999977\pi\) | |
0.500062 | + | 0.865990i | \(0.333311\pi\) | |||||||
\(314\) | 5.95948e10 | + | 1.03221e11i | 0.345960 | + | 0.599219i | ||||
\(315\) | 9.38663e10 | + | 1.62581e11i | 0.537170 | + | 0.930406i | ||||
\(316\) | −1.09826e11 | + | 1.90223e11i | −0.619600 | + | 1.07318i | ||||
\(317\) | 4.76530e10 | − | 8.25374e10i | 0.265047 | − | 0.459075i | −0.702529 | − | 0.711655i | \(-0.747946\pi\) |
0.967576 | + | 0.252580i | \(0.0812791\pi\) | |||||||
\(318\) | 3.14539e10 | − | 5.44797e10i | 0.172485 | − | 0.298753i | ||||
\(319\) | 1.04152e11 | 0.563133 | ||||||||
\(320\) | 5.03247e9 | + | 8.71650e9i | 0.0268291 | + | 0.0464694i | ||||
\(321\) | −9.86062e10 | + | 1.70791e11i | −0.518360 | + | 0.897826i | ||||
\(322\) | −1.40965e10 | −0.0730733 | ||||||||
\(323\) | −5.90731e10 | −0.301980 | ||||||||
\(324\) | −9.48604e10 | + | 1.64303e11i | −0.478225 | + | 0.828311i | ||||
\(325\) | 5.26708e10 | 0.261875 | ||||||||
\(326\) | 6.92811e10 | + | 1.19998e11i | 0.339731 | + | 0.588432i | ||||
\(327\) | −4.31706e10 | −0.208797 | ||||||||
\(328\) | 7.93855e10 | + | 1.37500e11i | 0.378712 | + | 0.655948i | ||||
\(329\) | 3.32894e11 | + | 5.76590e11i | 1.56648 | + | 2.71322i | ||||
\(330\) | 1.80070e10 | + | 3.11890e10i | 0.0835851 | + | 0.144774i | ||||
\(331\) | 1.65562e11 | − | 2.86762e11i | 0.758114 | − | 1.31309i | −0.185697 | − | 0.982607i | \(-0.559454\pi\) |
0.943811 | − | 0.330485i | \(-0.107212\pi\) | |||||||
\(332\) | 1.97641e10 | 0.0892802 | ||||||||
\(333\) | 1.10408e11 | + | 1.37409e11i | 0.492041 | + | 0.612375i | ||||
\(334\) | 8.40161e9 | 0.0369406 | ||||||||
\(335\) | −6.52508e10 | + | 1.13018e11i | −0.283064 | + | 0.490281i | ||||
\(336\) | 1.36053e11 | + | 2.35651e11i | 0.582347 | + | 1.00865i | ||||
\(337\) | −1.27910e11 | − | 2.21547e11i | −0.540221 | − | 0.935690i | −0.998891 | − | 0.0470832i | \(-0.985007\pi\) |
0.458670 | − | 0.888607i | \(-0.348326\pi\) | |||||||
\(338\) | −3.04839e10 | − | 5.27997e10i | −0.127042 | − | 0.220042i | ||||
\(339\) | −1.97848e11 | −0.813643 | ||||||||
\(340\) | −8.03762e10 | − | 1.39216e11i | −0.326191 | − | 0.564980i | ||||
\(341\) | 9.32434e10 | 0.373442 | ||||||||
\(342\) | 1.22957e10 | − | 2.12968e10i | 0.0485999 | − | 0.0841775i | ||||
\(343\) | −5.40648e11 | −2.10907 | ||||||||
\(344\) | −2.42964e11 | −0.935466 | ||||||||
\(345\) | 1.29616e10 | − | 2.24502e10i | 0.0492576 | − | 0.0853167i | ||||
\(346\) | −2.17087e10 | − | 3.76005e10i | −0.0814312 | − | 0.141043i | ||||
\(347\) | 3.83370e11 | 1.41950 | 0.709751 | − | 0.704453i | \(-0.248807\pi\) | ||||
0.709751 | + | 0.704453i | \(0.248807\pi\) | |||||||
\(348\) | 2.19944e11 | − | 3.80955e11i | 0.803907 | − | 1.39241i | ||||
\(349\) | 2.29448e11 | − | 3.97415e11i | 0.827883 | − | 1.43394i | −0.0718122 | − | 0.997418i | \(-0.522878\pi\) |
0.899696 | − | 0.436518i | \(-0.143788\pi\) | |||||||
\(350\) | 4.39728e10 | − | 7.61631e10i | 0.156631 | − | 0.271293i | ||||
\(351\) | −2.58800e10 | − | 4.48254e10i | −0.0910085 | − | 0.157631i | ||||
\(352\) | 5.42212e10 | + | 9.39139e10i | 0.188247 | + | 0.326053i | ||||
\(353\) | 2.41120e11 | − | 4.17632e11i | 0.826508 | − | 1.43155i | −0.0742536 | − | 0.997239i | \(-0.523657\pi\) |
0.900761 | − | 0.434314i | \(-0.143009\pi\) | |||||||
\(354\) | 8.37838e10 | − | 1.45118e11i | 0.283560 | − | 0.491141i | ||||
\(355\) | −9.27208e10 | + | 1.60597e11i | −0.309849 | + | 0.536674i | ||||
\(356\) | 3.84314e11 | 1.26812 | ||||||||
\(357\) | −3.80271e11 | − | 6.58649e11i | −1.23904 | − | 2.14609i | ||||
\(358\) | 7.16796e10 | − | 1.24153e11i | 0.230633 | − | 0.399468i | ||||
\(359\) | −3.93437e11 | −1.25012 | −0.625058 | − | 0.780578i | \(-0.714925\pi\) | ||||
−0.625058 | + | 0.780578i | \(0.714925\pi\) | |||||||
\(360\) | 1.48671e11 | 0.466516 | ||||||||
\(361\) | 1.47730e11 | − | 2.55875e11i | 0.457810 | − | 0.792950i | ||||
\(362\) | −5.78277e10 | −0.176989 | ||||||||
\(363\) | 1.88584e11 | + | 3.26637e11i | 0.570066 | + | 0.987384i | ||||
\(364\) | −3.10670e11 | −0.927561 | ||||||||
\(365\) | −1.72842e11 | − | 2.99371e11i | −0.509720 | − | 0.882860i | ||||
\(366\) | 2.66303e10 | + | 4.61250e10i | 0.0775730 | + | 0.134360i | ||||
\(367\) | −1.98049e11 | − | 3.43031e11i | −0.569869 | − | 0.987042i | −0.996578 | − | 0.0826531i | \(-0.973661\pi\) |
0.426710 | − | 0.904389i | \(-0.359673\pi\) | |||||||
\(368\) | 8.26540e9 | − | 1.43161e10i | 0.0234935 | − | 0.0406920i | ||||
\(369\) | −2.73555e11 | −0.768114 | ||||||||
\(370\) | −4.26069e10 | + | 1.09744e11i | −0.118188 | + | 0.304419i | ||||
\(371\) | −3.94531e11 | −1.08118 | ||||||||
\(372\) | 1.96907e11 | − | 3.41053e11i | 0.533112 | − | 0.923377i | ||||
\(373\) | 3.16679e11 | + | 5.48503e11i | 0.847089 | + | 1.46720i | 0.883795 | + | 0.467875i | \(0.154980\pi\) |
−0.0367059 | + | 0.999326i | \(0.511686\pi\) | |||||||
\(374\) | −3.20945e10 | − | 5.55893e10i | −0.0848220 | − | 0.146916i | ||||
\(375\) | 2.77016e11 | + | 4.79806e11i | 0.723377 | + | 1.25293i | ||||
\(376\) | 5.27259e11 | 1.36044 | ||||||||
\(377\) | 1.83116e11 | + | 3.17166e11i | 0.466864 | + | 0.808632i | ||||
\(378\) | −8.64247e10 | −0.217733 | ||||||||
\(379\) | −2.81240e11 | + | 4.87122e11i | −0.700165 | + | 1.21272i | 0.268243 | + | 0.963351i | \(0.413557\pi\) |
−0.968408 | + | 0.249370i | \(0.919776\pi\) | |||||||
\(380\) | −7.40949e10 | −0.182290 | ||||||||
\(381\) | 4.00991e11 | 0.974926 | ||||||||
\(382\) | −7.32003e10 | + | 1.26787e11i | −0.175885 | + | 0.304641i | ||||
\(383\) | 9.69745e10 | + | 1.67965e11i | 0.230284 | + | 0.398863i | 0.957892 | − | 0.287130i | \(-0.0927012\pi\) |
−0.727608 | + | 0.685993i | \(0.759368\pi\) | |||||||
\(384\) | 5.76502e11 | 1.35304 | ||||||||
\(385\) | 1.12932e11 | − | 1.95604e11i | 0.261966 | − | 0.453738i | ||||
\(386\) | −6.32151e10 | + | 1.09492e11i | −0.144937 | + | 0.251038i | ||||
\(387\) | 2.09307e11 | − | 3.62531e11i | 0.474335 | − | 0.821572i | ||||
\(388\) | 1.24443e10 | + | 2.15542e10i | 0.0278758 | + | 0.0482823i | ||||
\(389\) | −1.60026e11 | − | 2.77174e11i | −0.354339 | − | 0.613733i | 0.632666 | − | 0.774425i | \(-0.281961\pi\) |
−0.987005 | + | 0.160692i | \(0.948627\pi\) | |||||||
\(390\) | −6.33182e10 | + | 1.09670e11i | −0.138592 | + | 0.240048i | ||||
\(391\) | −2.31019e10 | + | 4.00137e10i | −0.0499866 | + | 0.0865793i | ||||
\(392\) | −3.95150e11 | + | 6.84420e11i | −0.845230 | + | 1.46398i | ||||
\(393\) | 1.16399e11 | 0.246140 | ||||||||
\(394\) | −1.26243e11 | − | 2.18659e11i | −0.263921 | − | 0.457125i | ||||
\(395\) | 2.80763e11 | − | 4.86296e11i | 0.580301 | − | 1.00511i | ||||
\(396\) | −1.20551e11 | −0.246345 | ||||||||
\(397\) | 2.35049e10 | 0.0474898 | 0.0237449 | − | 0.999718i | \(-0.492441\pi\) | ||||
0.0237449 | + | 0.999718i | \(0.492441\pi\) | |||||||
\(398\) | 7.47722e10 | − | 1.29509e11i | 0.149371 | − | 0.258718i | ||||
\(399\) | −3.50553e11 | −0.692430 | ||||||||
\(400\) | 5.15665e10 | + | 8.93157e10i | 0.100716 | + | 0.174445i | ||||
\(401\) | −5.67046e11 | −1.09514 | −0.547569 | − | 0.836761i | \(-0.684447\pi\) | ||||
−0.547569 | + | 0.836761i | \(0.684447\pi\) | |||||||
\(402\) | 1.10043e11 | + | 1.90600e11i | 0.210158 | + | 0.364004i | ||||
\(403\) | 1.63936e11 | + | 2.83946e11i | 0.309601 | + | 0.536245i | ||||
\(404\) | 1.65706e10 | + | 2.87012e10i | 0.0309473 | + | 0.0536023i | ||||
\(405\) | 2.42506e11 | − | 4.20032e11i | 0.447893 | − | 0.775773i | ||||
\(406\) | 6.11505e11 | 1.11695 | ||||||||
\(407\) | 7.67541e10 | − | 1.97697e11i | 0.138652 | − | 0.357130i | ||||
\(408\) | −6.02298e11 | −1.07607 | ||||||||
\(409\) | −3.53567e11 | + | 6.12396e11i | −0.624765 | + | 1.08212i | 0.363821 | + | 0.931469i | \(0.381472\pi\) |
−0.988586 | + | 0.150656i | \(0.951861\pi\) | |||||||
\(410\) | −9.13483e10 | − | 1.58220e11i | −0.159652 | − | 0.276525i | ||||
\(411\) | 4.10552e11 | + | 7.11097e11i | 0.709708 | + | 1.22925i | ||||
\(412\) | 2.33111e11 | + | 4.03760e11i | 0.398589 | + | 0.690376i | ||||
\(413\) | −1.05091e12 | −1.77742 | ||||||||
\(414\) | −9.61704e9 | − | 1.66572e10i | −0.0160894 | − | 0.0278677i | ||||
\(415\) | −5.05258e10 | −0.0836174 | ||||||||
\(416\) | −1.90659e11 | + | 3.30230e11i | −0.312131 | + | 0.540626i | ||||
\(417\) | 8.85452e11 | 1.43401 | ||||||||
\(418\) | −2.95864e10 | −0.0474022 | ||||||||
\(419\) | 4.92379e11 | − | 8.52825e11i | 0.780434 | − | 1.35175i | −0.151255 | − | 0.988495i | \(-0.548331\pi\) |
0.931689 | − | 0.363257i | \(-0.118335\pi\) | |||||||
\(420\) | −4.76971e11 | − | 8.26137e11i | −0.747945 | − | 1.29548i | ||||
\(421\) | −1.08991e12 | −1.69092 | −0.845458 | − | 0.534042i | \(-0.820673\pi\) | ||||
−0.845458 | + | 0.534042i | \(0.820673\pi\) | |||||||
\(422\) | −2.38590e11 | + | 4.13250e11i | −0.366223 | + | 0.634318i | ||||
\(423\) | −4.54221e11 | + | 7.86734e11i | −0.689820 | + | 1.19480i | ||||
\(424\) | −1.56221e11 | + | 2.70582e11i | −0.234743 | + | 0.406587i | ||||
\(425\) | −1.44129e11 | − | 2.49639e11i | −0.214290 | − | 0.371161i | ||||
\(426\) | 1.56370e11 | + | 2.70841e11i | 0.230044 | + | 0.398448i | ||||
\(427\) | 1.67014e11 | − | 2.89276e11i | 0.243123 | − | 0.421102i | ||||
\(428\) | 2.20441e11 | − | 3.81815e11i | 0.317537 | − | 0.549991i | ||||
\(429\) | 1.14065e11 | − | 1.97566e11i | 0.162590 | − | 0.281614i | ||||
\(430\) | 2.79576e11 | 0.394360 | ||||||||
\(431\) | 1.40443e11 | + | 2.43254e11i | 0.196043 | + | 0.339556i | 0.947242 | − | 0.320520i | \(-0.103858\pi\) |
−0.751199 | + | 0.660076i | \(0.770524\pi\) | |||||||
\(432\) | 5.06747e10 | − | 8.77712e10i | 0.0700027 | − | 0.121248i | ||||
\(433\) | −7.33467e11 | −1.00273 | −0.501366 | − | 0.865235i | \(-0.667169\pi\) | ||||
−0.501366 | + | 0.865235i | \(0.667169\pi\) | |||||||
\(434\) | 5.47456e11 | 0.740706 | ||||||||
\(435\) | −5.62275e11 | + | 9.73890e11i | −0.752918 | + | 1.30409i | ||||
\(436\) | 9.65108e10 | 0.127905 | ||||||||
\(437\) | 1.06483e10 | + | 1.84434e10i | 0.0139673 | + | 0.0241921i | ||||
\(438\) | −5.82983e11 | −0.756872 | ||||||||
\(439\) | 3.00979e11 | + | 5.21311e11i | 0.386764 | + | 0.669894i | 0.992012 | − | 0.126142i | \(-0.0402596\pi\) |
−0.605249 | + | 0.796037i | \(0.706926\pi\) | |||||||
\(440\) | −8.94347e10 | − | 1.54905e11i | −0.113755 | − | 0.197029i | ||||
\(441\) | −6.80824e11 | − | 1.17922e12i | −0.857159 | − | 1.48464i | ||||
\(442\) | 1.12854e11 | − | 1.95469e11i | 0.140643 | − | 0.243601i | ||||
\(443\) | 7.81777e11 | 0.964419 | 0.482210 | − | 0.876056i | \(-0.339834\pi\) | ||||
0.482210 | + | 0.876056i | \(0.339834\pi\) | |||||||
\(444\) | −5.61026e11 | − | 6.98230e11i | −0.685109 | − | 0.852658i | ||||
\(445\) | −9.82478e11 | −1.18769 | ||||||||
\(446\) | 3.23192e11 | − | 5.59786e11i | 0.386771 | − | 0.669907i | ||||
\(447\) | 9.38754e11 | + | 1.62597e12i | 1.11216 | + | 1.92632i | ||||
\(448\) | −5.32274e10 | − | 9.21925e10i | −0.0624286 | − | 0.108130i | ||||
\(449\) | −7.61750e11 | − | 1.31939e12i | −0.884513 | − | 1.53202i | −0.846271 | − | 0.532753i | \(-0.821158\pi\) |
−0.0382420 | − | 0.999269i | \(-0.512176\pi\) | |||||||
\(450\) | 1.19998e11 | 0.137949 | ||||||||
\(451\) | 1.64559e11 | + | 2.85025e11i | 0.187296 | + | 0.324406i | ||||
\(452\) | 4.42303e11 | 0.498422 | ||||||||
\(453\) | −6.32882e11 | + | 1.09618e12i | −0.706124 | + | 1.22304i | ||||
\(454\) | 3.37535e11 | 0.372879 | ||||||||
\(455\) | 7.94210e11 | 0.868728 | ||||||||
\(456\) | −1.38807e11 | + | 2.40421e11i | −0.150339 | + | 0.260394i | ||||
\(457\) | 8.28939e10 | + | 1.43576e11i | 0.0888995 | + | 0.153979i | 0.907046 | − | 0.421031i | \(-0.138332\pi\) |
−0.818147 | + | 0.575010i | \(0.804998\pi\) | |||||||
\(458\) | −4.21991e11 | −0.448135 | ||||||||
\(459\) | −1.41637e11 | + | 2.45322e11i | −0.148943 | + | 0.257976i | ||||
\(460\) | −2.89766e10 | + | 5.01889e10i | −0.0301743 | + | 0.0522633i | ||||
\(461\) | 1.04783e10 | − | 1.81489e10i | 0.0108053 | − | 0.0187153i | −0.860572 | − | 0.509328i | \(-0.829894\pi\) |
0.871377 | + | 0.490613i | \(0.163227\pi\) | |||||||
\(462\) | −1.90456e11 | − | 3.29880e11i | −0.194494 | − | 0.336873i | ||||
\(463\) | −3.84857e11 | − | 6.66592e11i | −0.389211 | − | 0.674133i | 0.603133 | − | 0.797641i | \(-0.293919\pi\) |
−0.992344 | + | 0.123508i | \(0.960586\pi\) | |||||||
\(464\) | −3.58553e11 | + | 6.21032e11i | −0.359106 | + | 0.621990i | ||||
\(465\) | −5.03383e11 | + | 8.71884e11i | −0.499298 | + | 0.864810i | ||||
\(466\) | −1.19865e11 | + | 2.07613e11i | −0.117749 | + | 0.203947i | ||||
\(467\) | 1.43152e12 | 1.39274 | 0.696371 | − | 0.717682i | \(-0.254797\pi\) | ||||
0.696371 | + | 0.717682i | \(0.254797\pi\) | |||||||
\(468\) | −2.11948e11 | − | 3.67105e11i | −0.204232 | − | 0.353740i | ||||
\(469\) | 6.90143e11 | − | 1.19536e12i | 0.658660 | − | 1.14083i | ||||
\(470\) | −6.06714e11 | −0.573513 | ||||||||
\(471\) | 2.31831e12 | 2.17058 | ||||||||
\(472\) | −4.16126e11 | + | 7.20751e11i | −0.385910 | + | 0.668415i | ||||
\(473\) | −5.03643e11 | −0.462645 | ||||||||
\(474\) | −4.73496e11 | − | 8.20120e11i | −0.430838 | − | 0.746234i | ||||
\(475\) | −1.32866e11 | −0.119754 | ||||||||
\(476\) | 8.50122e11 | + | 1.47245e12i | 0.759014 | + | 1.31465i | ||||
\(477\) | −2.69161e11 | − | 4.66200e11i | −0.238056 | − | 0.412325i | ||||
\(478\) | 2.74717e11 | + | 4.75824e11i | 0.240691 | + | 0.416889i | ||||
\(479\) | −1.41612e11 | + | 2.45280e11i | −0.122911 | + | 0.212888i | −0.920915 | − | 0.389765i | \(-0.872556\pi\) |
0.798003 | + | 0.602653i | \(0.205890\pi\) | |||||||
\(480\) | −1.17087e12 | −1.00675 | ||||||||
\(481\) | 7.36977e11 | − | 1.13850e11i | 0.627771 | − | 0.0969798i | ||||
\(482\) | 1.04400e11 | 0.0881028 | ||||||||
\(483\) | −1.37092e11 | + | 2.37451e11i | −0.114617 | + | 0.198523i | ||||
\(484\) | −4.21593e11 | − | 7.30220e11i | −0.349212 | − | 0.604852i | ||||
\(485\) | −3.18132e10 | − | 5.51020e10i | −0.0261077 | − | 0.0452199i | ||||
\(486\) | −3.33920e11 | − | 5.78366e11i | −0.271506 | − | 0.470262i | ||||
\(487\) | 1.25802e12 | 1.01347 | 0.506733 | − | 0.862103i | \(-0.330853\pi\) | ||||
0.506733 | + | 0.862103i | \(0.330853\pi\) | |||||||
\(488\) | −1.32264e11 | − | 2.29087e11i | −0.105573 | − | 0.182857i | ||||
\(489\) | 2.69511e12 | 2.13151 | ||||||||
\(490\) | 4.54696e11 | − | 7.87557e11i | 0.356319 | − | 0.617163i | ||||
\(491\) | −3.36416e11 | −0.261222 | −0.130611 | − | 0.991434i | \(-0.541694\pi\) | ||||
−0.130611 | + | 0.991434i | \(0.541694\pi\) | |||||||
\(492\) | 1.39004e12 | 1.06951 | ||||||||
\(493\) | 1.00216e12 | − | 1.73580e12i | 0.764060 | − | 1.32339i | ||||
\(494\) | −5.20174e10 | − | 9.00968e10i | −0.0392986 | − | 0.0680672i | ||||
\(495\) | 3.08183e11 | 0.230720 | ||||||||
\(496\) | −3.20998e11 | + | 5.55986e11i | −0.238142 | + | 0.412473i | ||||
\(497\) | 9.80688e11 | − | 1.69860e12i | 0.720986 | − | 1.24878i | ||||
\(498\) | −4.26049e10 | + | 7.37939e10i | −0.0310404 | + | 0.0537636i | ||||
\(499\) | 9.00566e10 | + | 1.55983e11i | 0.0650224 | + | 0.112622i | 0.896704 | − | 0.442631i | \(-0.145955\pi\) |
−0.831682 | + | 0.555253i | \(0.812621\pi\) | |||||||
\(500\) | −6.19288e11 | − | 1.07264e12i | −0.443127 | − | 0.767518i | ||||
\(501\) | 8.17080e10 | − | 1.41522e11i | 0.0579422 | − | 0.100359i | ||||
\(502\) | −3.13118e11 | + | 5.42336e11i | −0.220060 | + | 0.381155i | ||||
\(503\) | 4.69517e11 | − | 8.13228e11i | 0.327036 | − | 0.566443i | −0.654886 | − | 0.755727i | \(-0.727283\pi\) |
0.981922 | + | 0.189284i | \(0.0606168\pi\) | |||||||
\(504\) | −1.57246e12 | −1.08553 | ||||||||
\(505\) | −4.23619e10 | − | 7.33730e10i | −0.0289844 | − | 0.0502024i | ||||
\(506\) | −1.15704e10 | + | 2.00406e10i | −0.00784644 | + | 0.0135904i | ||||
\(507\) | −1.18586e12 | −0.797071 | ||||||||
\(508\) | −8.96441e11 | −0.597221 | ||||||||
\(509\) | 4.11770e11 | − | 7.13206e11i | 0.271909 | − | 0.470961i | −0.697441 | − | 0.716642i | \(-0.745678\pi\) |
0.969351 | + | 0.245681i | \(0.0790116\pi\) | |||||||
\(510\) | 6.93060e11 | 0.453634 | ||||||||
\(511\) | 1.82811e12 | + | 3.16638e12i | 1.18606 | + | 2.05432i | ||||
\(512\) | −1.33517e12 | −0.858660 | ||||||||
\(513\) | 6.52840e10 | + | 1.13075e11i | 0.0416178 | + | 0.0720841i | ||||
\(514\) | −3.78627e11 | − | 6.55801e11i | −0.239264 | − | 0.414418i | ||||
\(515\) | −5.95936e11 | − | 1.03219e12i | −0.373308 | − | 0.646588i | ||||
\(516\) | −1.06357e12 | + | 1.84216e12i | −0.660454 | + | 1.14394i | ||||
\(517\) | 1.09296e12 | 0.672819 | ||||||||
\(518\) | 4.50643e11 | − | 1.16073e12i | 0.275010 | − | 0.708351i | ||||
\(519\) | −8.44492e11 | −0.510907 | ||||||||
\(520\) | 3.14480e11 | − | 5.44696e11i | 0.188616 | − | 0.326692i | ||||
\(521\) | 4.05631e11 | + | 7.02573e11i | 0.241191 | + | 0.417755i | 0.961054 | − | 0.276361i | \(-0.0891286\pi\) |
−0.719863 | + | 0.694116i | \(0.755795\pi\) | |||||||
\(522\) | 4.17188e11 | + | 7.22590e11i | 0.245931 | + | 0.425966i | ||||
\(523\) | 1.01275e12 | + | 1.75414e12i | 0.591897 | + | 1.02520i | 0.993977 | + | 0.109592i | \(0.0349543\pi\) |
−0.402079 | + | 0.915605i | \(0.631712\pi\) | |||||||
\(524\) | −2.60218e11 | −0.150781 | ||||||||
\(525\) | −8.55295e11 | − | 1.48141e12i | −0.491359 | − | 0.851059i | ||||
\(526\) | 5.26650e11 | 0.299976 | ||||||||
\(527\) | 8.97197e11 | − | 1.55399e12i | 0.506687 | − | 0.877608i | ||||
\(528\) | 4.46692e11 | 0.250124 | ||||||||
\(529\) | −1.78450e12 | −0.990752 | ||||||||
\(530\) | 1.79762e11 | − | 3.11357e11i | 0.0989594 | − | 0.171403i | ||||
\(531\) | −7.16964e11 | − | 1.24182e12i | −0.391356 | − | 0.677849i | ||||
\(532\) | 7.83685e11 | 0.424169 | ||||||||
\(533\) | −5.78642e11 | + | 1.00224e12i | −0.310554 | + | 0.537896i | ||||
\(534\) | −8.28457e11 | + | 1.43493e12i | −0.440894 | + | 0.763651i | ||||
\(535\) | −5.63545e11 | + | 9.76088e11i | −0.297397 | + | 0.515107i | ||||
\(536\) | −5.46547e11 | − | 9.46646e11i | −0.286013 | − | 0.495389i | ||||
\(537\) | −1.39421e12 | − | 2.41484e12i | −0.723508 | − | 1.25315i | ||||
\(538\) | −2.76546e11 | + | 4.78991e11i | −0.142314 | + | 0.246495i | ||||
\(539\) | −8.19113e11 | + | 1.41874e12i | −0.418017 | + | 0.724027i | ||||
\(540\) | −1.77654e11 | + | 3.07705e11i | −0.0899089 | + | 0.155727i | ||||
\(541\) | 2.91793e12 | 1.46449 | 0.732247 | − | 0.681039i | \(-0.238471\pi\) | ||||
0.732247 | + | 0.681039i | \(0.238471\pi\) | |||||||
\(542\) | 7.61485e10 | + | 1.31893e11i | 0.0379022 | + | 0.0656486i | ||||
\(543\) | −5.62390e11 | + | 9.74089e11i | −0.277612 | + | 0.480839i | ||||
\(544\) | 2.08689e12 | 1.02165 | ||||||||
\(545\) | −2.46724e11 | −0.119792 | ||||||||
\(546\) | 6.69703e11 | − | 1.15996e12i | 0.322489 | − | 0.558568i | ||||
\(547\) | 1.14338e11 | 0.0546071 | 0.0273036 | − | 0.999627i | \(-0.491308\pi\) | ||||
0.0273036 | + | 0.999627i | \(0.491308\pi\) | |||||||
\(548\) | −9.17816e11 | − | 1.58970e12i | −0.434753 | − | 0.753015i | ||||
\(549\) | 4.55768e11 | 0.214125 | ||||||||
\(550\) | −7.21861e10 | − | 1.25030e11i | −0.0336373 | − | 0.0582616i | ||||
\(551\) | −4.61922e11 | − | 8.00073e11i | −0.213495 | − | 0.369783i | ||||
\(552\) | 1.08568e11 | + | 1.88045e11i | 0.0497708 | + | 0.0862056i | ||||
\(553\) | −2.96957e12 | + | 5.14344e12i | −1.35030 | + | 2.33879i | ||||
\(554\) | −1.01155e12 | −0.456239 | ||||||||
\(555\) | 1.43423e12 | + | 1.78499e12i | 0.641654 | + | 0.798576i | ||||
\(556\) | −1.97949e12 | −0.878448 | ||||||||
\(557\) | −1.12197e12 | + | 1.94331e12i | −0.493894 | + | 0.855449i | −0.999975 | − | 0.00703682i | \(-0.997760\pi\) |
0.506082 | + | 0.862486i | \(0.331093\pi\) | |||||||
\(558\) | 3.73491e11 | + | 6.46906e11i | 0.163090 | + | 0.282480i | ||||
\(559\) | −8.85482e11 | − | 1.53370e12i | −0.383554 | − | 0.664335i | ||||
\(560\) | 7.77558e11 | + | 1.34677e12i | 0.334108 | + | 0.578692i | ||||
\(561\) | −1.24851e12 | −0.532182 | ||||||||
\(562\) | 7.81760e11 | + | 1.35405e12i | 0.330567 | + | 0.572560i | ||||
\(563\) | −2.84085e12 | −1.19168 | −0.595840 | − | 0.803103i | \(-0.703181\pi\) | ||||
−0.595840 | + | 0.803103i | \(0.703181\pi\) | |||||||
\(564\) | 2.30807e12 | − | 3.99770e12i | 0.960491 | − | 1.66362i | ||||
\(565\) | −1.13072e12 | −0.466808 | ||||||||
\(566\) | −2.30801e11 | −0.0945286 | ||||||||
\(567\) | −2.56493e12 | + | 4.44258e12i | −1.04220 | + | 1.80514i | ||||
\(568\) | −7.76638e11 | − | 1.34518e12i | −0.313077 | − | 0.542265i | ||||
\(569\) | −5.97926e11 | −0.239135 | −0.119567 | − | 0.992826i | \(-0.538151\pi\) | ||||
−0.119567 | + | 0.992826i | \(0.538151\pi\) | |||||||
\(570\) | 1.59725e11 | − | 2.76651e11i | 0.0633774 | − | 0.109773i | ||||
\(571\) | −4.62531e11 | + | 8.01127e11i | −0.182087 | + | 0.315383i | −0.942591 | − | 0.333950i | \(-0.891618\pi\) |
0.760504 | + | 0.649333i | \(0.224952\pi\) | |||||||
\(572\) | −2.54999e11 | + | 4.41671e11i | −0.0995993 | + | 0.172511i | ||||
\(573\) | 1.42379e12 | + | 2.46607e12i | 0.551759 | + | 0.955674i | ||||
\(574\) | 9.66171e11 | + | 1.67346e12i | 0.371493 | + | 0.643445i | ||||
\(575\) | −5.19603e10 | + | 8.99978e10i | −0.0198228 | + | 0.0343342i | ||||
\(576\) | 7.26267e10 | − | 1.25793e11i | 0.0274913 | − | 0.0476163i | ||||
\(577\) | 1.61463e12 | − | 2.79662e12i | 0.606432 | − | 1.05037i | −0.385391 | − | 0.922753i | \(-0.625934\pi\) |
0.991823 | − | 0.127618i | \(-0.0407331\pi\) | |||||||
\(578\) | −9.22790e10 | −0.0343896 | ||||||||
\(579\) | 1.22957e12 | + | 2.12968e12i | 0.454674 | + | 0.787518i | ||||
\(580\) | 1.25700e12 | − | 2.17720e12i | 0.461223 | − | 0.798861i | ||||
\(581\) | 5.34400e11 | 0.194569 | ||||||||
\(582\) | −1.07303e11 | −0.0387668 | ||||||||
\(583\) | −3.23833e11 | + | 5.60894e11i | −0.116095 | + | 0.201082i | ||||
\(584\) | 2.89548e12 | 1.03006 | ||||||||
\(585\) | 5.41834e11 | + | 9.38484e11i | 0.191278 | + | 0.331303i | ||||
\(586\) | 6.08049e11 | 0.213010 | ||||||||
\(587\) | −1.15072e12 | − | 1.99311e12i | −0.400036 | − | 0.692882i | 0.593694 | − | 0.804691i | \(-0.297669\pi\) |
−0.993730 | + | 0.111809i | \(0.964336\pi\) | |||||||
\(588\) | 3.45953e12 | + | 5.99208e12i | 1.19349 | + | 2.06719i | ||||
\(589\) | −4.13541e11 | − | 7.16274e11i | −0.141579 | − | 0.245222i | ||||
\(590\) | 4.78833e11 | − | 8.29363e11i | 0.162686 | − | 0.281780i | ||||
\(591\) | −4.91100e12 | −1.65587 | ||||||||
\(592\) | 9.14585e11 | + | 1.13825e12i | 0.306039 | + | 0.380883i | ||||
\(593\) | 1.29875e12 | 0.431301 | 0.215651 | − | 0.976471i | \(-0.430813\pi\) | ||||
0.215651 | + | 0.976471i | \(0.430813\pi\) | |||||||
\(594\) | −7.09378e10 | + | 1.22868e11i | −0.0233797 | + | 0.0404948i | ||||
\(595\) | −2.17329e12 | − | 3.76425e12i | −0.710872 | − | 1.23127i | ||||
\(596\) | −2.09865e12 | − | 3.63496e12i | −0.681289 | − | 1.18003i | ||||
\(597\) | −1.45436e12 | − | 2.51903e12i | −0.468584 | − | 0.811612i | ||||
\(598\) | −8.13705e10 | −0.0260203 | ||||||||
\(599\) | −2.13870e12 | − | 3.70433e12i | −0.678779 | − | 1.17568i | −0.975349 | − | 0.220669i | \(-0.929176\pi\) |
0.296569 | − | 0.955011i | \(-0.404157\pi\) | |||||||
\(600\) | −1.35467e12 | −0.426730 | ||||||||
\(601\) | −7.45593e11 | + | 1.29140e12i | −0.233113 | + | 0.403764i | −0.958723 | − | 0.284343i | \(-0.908225\pi\) |
0.725610 | + | 0.688107i | \(0.241558\pi\) | |||||||
\(602\) | −2.95702e12 | −0.917634 | ||||||||
\(603\) | 1.88335e12 | 0.580099 | ||||||||
\(604\) | 1.41485e12 | − | 2.45059e12i | 0.432558 | − | 0.749213i | ||||
\(605\) | 1.07778e12 | + | 1.86677e12i | 0.327062 | + | 0.566488i | ||||
\(606\) | −1.42884e11 | −0.0430383 | ||||||||
\(607\) | −1.52565e12 | + | 2.64250e12i | −0.456147 | + | 0.790069i | −0.998753 | − | 0.0499178i | \(-0.984104\pi\) |
0.542607 | + | 0.839987i | \(0.317437\pi\) | |||||||
\(608\) | 4.80949e11 | − | 8.33029e11i | 0.142736 | − | 0.247226i | ||||
\(609\) | 5.94706e12 | − | 1.03006e13i | 1.75196 | − | 3.03449i | ||||
\(610\) | 1.52195e11 | + | 2.63609e11i | 0.0445057 | + | 0.0770861i | ||||
\(611\) | 1.92160e12 | + | 3.32831e12i | 0.557799 | + | 0.966136i | ||||
\(612\) | −1.15996e12 | + | 2.00911e12i | −0.334242 | + | 0.578924i | ||||
\(613\) | 3.17282e12 | − | 5.49549e12i | 0.907556 | − | 1.57193i | 0.0901063 | − | 0.995932i | \(-0.471279\pi\) |
0.817449 | − | 0.576000i | \(-0.195387\pi\) | |||||||
\(614\) | −9.79719e11 | + | 1.69692e12i | −0.278192 | + | 0.481842i | ||||
\(615\) | −3.55355e12 | −1.00167 | ||||||||
\(616\) | 9.45931e11 | + | 1.63840e12i | 0.264695 | + | 0.458466i | ||||
\(617\) | −6.20020e10 | + | 1.07391e11i | −0.0172236 | + | 0.0298321i | −0.874509 | − | 0.485010i | \(-0.838816\pi\) |
0.857285 | + | 0.514842i | \(0.172149\pi\) | |||||||
\(618\) | −2.01005e12 | −0.554317 | ||||||||
\(619\) | 6.04119e10 | 0.0165392 | 0.00826961 | − | 0.999966i | \(-0.497368\pi\) | ||||
0.00826961 | + | 0.999966i | \(0.497368\pi\) | |||||||
\(620\) | 1.12535e12 | − | 1.94916e12i | 0.305860 | − | 0.529766i | ||||
\(621\) | 1.02123e11 | 0.0275558 | ||||||||
\(622\) | −7.46642e11 | − | 1.29322e12i | −0.200012 | − | 0.346430i | ||||
\(623\) | 1.03915e13 | 2.76363 | ||||||||
\(624\) | 7.85354e11 | + | 1.36027e12i | 0.207365 | + | 0.359166i | ||||
\(625\) | 7.96851e11 | + | 1.38019e12i | 0.208890 | + | 0.361808i | ||||
\(626\) | 8.18214e11 | + | 1.41719e12i | 0.212952 | + | 0.368844i | ||||
\(627\) | −2.87736e11 | + | 4.98373e11i | −0.0743515 | + | 0.128781i | ||||
\(628\) | −5.18273e12 | −1.32966 | ||||||||
\(629\) | −2.55628e12 | − | 3.18144e12i | −0.651150 | − | 0.810394i | ||||
\(630\) | 1.80942e12 | 0.457623 | ||||||||
\(631\) | −2.10183e11 | + | 3.64047e11i | −0.0527795 | + | 0.0914167i | −0.891208 | − | 0.453595i | \(-0.850141\pi\) |
0.838429 | + | 0.545011i | \(0.183475\pi\) | |||||||
\(632\) | 2.35170e12 | + | 4.07326e12i | 0.586347 | + | 1.01558i | ||||
\(633\) | 4.64071e12 | + | 8.03794e12i | 1.14886 | + | 1.98989i | ||||
\(634\) | −4.59294e11 | − | 7.95521e11i | −0.112899 | − | 0.195546i | ||||
\(635\) | 2.29170e12 | 0.559341 | ||||||||
\(636\) | 1.36771e12 | + | 2.36894e12i | 0.331465 | + | 0.574113i | ||||
\(637\) | −5.76051e12 | −1.38622 | ||||||||
\(638\) | 5.01926e11 | − | 8.69362e11i | 0.119935 | − | 0.207734i | ||||
\(639\) | 2.67622e12 | 0.634992 | ||||||||
\(640\) | 3.29477e12 | 0.776275 | ||||||||
\(641\) | −1.47699e12 | + | 2.55823e12i | −0.345555 | + | 0.598519i | −0.985454 | − | 0.169940i | \(-0.945643\pi\) |
0.639899 | + | 0.768459i | \(0.278976\pi\) | |||||||
\(642\) | 9.50397e11 | + | 1.64614e12i | 0.220799 | + | 0.382436i | ||||
\(643\) | −5.61065e12 | −1.29439 | −0.647194 | − | 0.762326i | \(-0.724057\pi\) | ||||
−0.647194 | + | 0.762326i | \(0.724057\pi\) | |||||||
\(644\) | 3.06479e11 | − | 5.30837e11i | 0.0702124 | − | 0.121611i | ||||
\(645\) | 2.71896e12 | − | 4.70938e12i | 0.618563 | − | 1.07138i | ||||
\(646\) | −2.84683e11 | + | 4.93085e11i | −0.0643153 | + | 0.111397i | ||||
\(647\) | −3.77531e12 | − | 6.53902e12i | −0.846999 | − | 1.46705i | −0.883874 | − | 0.467726i | \(-0.845073\pi\) |
0.0368744 | − | 0.999320i | \(-0.488260\pi\) | |||||||
\(648\) | 2.03125e12 | + | 3.51823e12i | 0.452559 | + | 0.783856i | ||||
\(649\) | −8.62593e11 | + | 1.49406e12i | −0.190856 | + | 0.330572i | ||||
\(650\) | 2.53829e11 | − | 4.39644e11i | 0.0557739 | − | 0.0966031i | ||||
\(651\) | 5.32417e12 | − | 9.22173e12i | 1.16182 | − | 2.01232i | ||||
\(652\) | −6.02510e12 | −1.30572 | ||||||||
\(653\) | 2.31391e12 | + | 4.00782e12i | 0.498010 | + | 0.862578i | 0.999997 | − | 0.00229674i | \(-0.000731075\pi\) |
−0.501988 | + | 0.864875i | \(0.667398\pi\) | |||||||
\(654\) | −2.08046e11 | + | 3.60346e11i | −0.0444692 | + | 0.0770229i | ||||
\(655\) | 6.65233e11 | 0.141217 | ||||||||
\(656\) | −2.26604e12 | −0.477749 | ||||||||
\(657\) | −2.49439e12 | + | 4.32040e12i | −0.522299 | + | 0.904649i | ||||
\(658\) | 6.41707e12 | 1.33451 | ||||||||
\(659\) | 1.91578e12 | + | 3.31823e12i | 0.395696 | + | 0.685365i | 0.993190 | − | 0.116508i | \(-0.0371701\pi\) |
−0.597494 | + | 0.801873i | \(0.703837\pi\) | |||||||
\(660\) | −1.56600e12 | −0.321250 | ||||||||
\(661\) | −4.08766e12 | − | 7.08003e12i | −0.832852 | − | 1.44254i | −0.895767 | − | 0.444524i | \(-0.853373\pi\) |
0.0629146 | − | 0.998019i | \(-0.479960\pi\) | |||||||
\(662\) | −1.59574e12 | − | 2.76390e12i | −0.322924 | − | 0.559321i | ||||
\(663\) | −2.19508e12 | − | 3.80199e12i | −0.441204 | − | 0.764188i | ||||
\(664\) | 2.11604e11 | − | 3.66509e11i | 0.0422443 | − | 0.0731693i | ||||
\(665\) | −2.00345e12 | −0.397265 | ||||||||
\(666\) | 1.67903e12 | − | 2.59382e11i | 0.330693 | − | 0.0510864i | ||||
\(667\) | −7.22583e11 | −0.141358 | ||||||||
\(668\) | −1.82664e11 | + | 3.16383e11i | −0.0354943 | + | 0.0614779i | ||||
\(669\) | −6.28627e12 | − | 1.08881e13i | −1.21332 | − | 2.10153i | ||||
\(670\) | 6.28907e11 | + | 1.08930e12i | 0.120573 | + | 0.208839i | ||||
\(671\) | −2.74171e11 | − | 4.74879e11i | −0.0522120 | − | 0.0904339i | ||||
\(672\) | 1.23840e13 | 2.34261 | ||||||||
\(673\) | 3.97493e11 | + | 6.88478e11i | 0.0746899 | + | 0.129367i | 0.900951 | − | 0.433920i | \(-0.142870\pi\) |
−0.826261 | + | 0.563287i | \(0.809537\pi\) | |||||||
\(674\) | −2.46568e12 | −0.460222 | ||||||||
\(675\) | −3.18566e11 | + | 5.51772e11i | −0.0590652 | + | 0.102304i | ||||
\(676\) | 2.65107e12 | 0.488270 | ||||||||
\(677\) | 3.35699e11 | 0.0614187 | 0.0307094 | − | 0.999528i | \(-0.490223\pi\) | ||||
0.0307094 | + | 0.999528i | \(0.490223\pi\) | |||||||
\(678\) | −9.53462e11 | + | 1.65144e12i | −0.173289 | + | 0.300145i | ||||
\(679\) | 3.36481e11 | + | 5.82802e11i | 0.0607500 | + | 0.105222i | ||||
\(680\) | −3.44220e12 | −0.617370 | ||||||||
\(681\) | 3.28263e12 | − | 5.68568e12i | 0.584870 | − | 1.01302i | ||||
\(682\) | 4.49354e11 | − | 7.78305e11i | 0.0795352 | − | 0.137759i | ||||
\(683\) | 1.44257e12 | − | 2.49861e12i | 0.253655 | − | 0.439344i | −0.710874 | − | 0.703319i | \(-0.751700\pi\) |
0.964529 | + | 0.263975i | \(0.0850338\pi\) | |||||||
\(684\) | 5.34654e11 | + | 9.26048e11i | 0.0933943 | + | 0.161764i | ||||
\(685\) | 2.34635e12 | + | 4.06399e12i | 0.407178 | + | 0.705253i | ||||
\(686\) | −2.60547e12 | + | 4.51280e12i | −0.449187 | + | 0.778014i | ||||
\(687\) | −4.10399e12 | + | 7.10831e12i | −0.702911 | + | 1.21748i | ||||
\(688\) | 1.73383e12 | − | 3.00309e12i | 0.295025 | − | 0.510999i | ||||
\(689\) | −2.27739e12 | −0.384992 | ||||||||
\(690\) | −1.24928e11 | − | 2.16382e11i | −0.0209816 | − | 0.0363412i | ||||
\(691\) | −2.21505e12 | + | 3.83657e12i | −0.369600 | + | 0.640165i | −0.989503 | − | 0.144513i | \(-0.953838\pi\) |
0.619903 | + | 0.784678i | \(0.287172\pi\) | |||||||
\(692\) | 1.88792e12 | 0.312972 | ||||||||
\(693\) | −3.25959e12 | −0.536862 | ||||||||
\(694\) | 1.84752e12 | − | 3.20000e12i | 0.302323 | − | 0.523640i | ||||
\(695\) | 5.06045e12 | 0.822730 | ||||||||
\(696\) | −4.70967e12 | − | 8.15739e12i | −0.760762 | − | 1.31768i | ||||
\(697\) | 6.33362e12 | 1.01649 | ||||||||
\(698\) | −2.21149e12 | − | 3.83041e12i | −0.352643 | − | 0.610795i | ||||
\(699\) | 2.33145e12 | + | 4.03818e12i | 0.369384 | + | 0.639792i | ||||
\(700\) | 1.91207e12 | + | 3.31180e12i | 0.300997 | + | 0.521343i | ||||
\(701\) | −4.14845e12 | + | 7.18532e12i | −0.648865 | + | 1.12387i | 0.334529 | + | 0.942386i | \(0.391423\pi\) |
−0.983394 | + | 0.181482i | \(0.941911\pi\) | |||||||
\(702\) | −4.98879e11 | −0.0775314 | ||||||||
\(703\) | −1.85907e12 | + | 2.87195e11i | −0.287077 | + | 0.0443484i | ||||
\(704\) | −1.74757e11 | −0.0268138 | ||||||||
\(705\) | −5.90046e12 | + | 1.02199e13i | −0.899570 | + | 1.55810i | ||||
\(706\) | −2.32399e12 | − | 4.02527e12i | −0.352057 | − | 0.609781i | ||||
\(707\) | 4.48052e11 | + | 7.76049e11i | 0.0674437 | + | 0.116816i | ||||
\(708\) | 3.64317e12 | + | 6.31016e12i | 0.544917 | + | 0.943823i | ||||
\(709\) | −1.16500e13 | −1.73148 | −0.865739 | − | 0.500496i | \(-0.833151\pi\) | ||||
−0.865739 | + | 0.500496i | \(0.833151\pi\) | |||||||
\(710\) | 8.93672e11 | + | 1.54789e12i | 0.131982 | + | 0.228600i | ||||
\(711\) | −8.10372e12 | −1.18924 | ||||||||
\(712\) | 4.11466e12 | − | 7.12681e12i | 0.600032 | − | 1.03929i | ||||
\(713\) | −6.46900e11 | −0.0937419 | ||||||||
\(714\) | −7.33034e12 | −1.05556 | ||||||||
\(715\) | 6.51891e11 | − | 1.12911e12i | 0.0932820 | − | 0.161569i | ||||
\(716\) | 3.11685e12 | + | 5.39854e12i | 0.443207 | + | 0.767657i | ||||
\(717\) | 1.06868e13 | 1.51012 | ||||||||
\(718\) | −1.89604e12 | + | 3.28403e12i | −0.266248 | + | 0.461155i | ||||
\(719\) | 2.71012e12 | − | 4.69406e12i | 0.378188 | − | 0.655041i | −0.612610 | − | 0.790385i | \(-0.709881\pi\) |
0.990799 | + | 0.135344i | \(0.0432138\pi\) | |||||||
\(720\) | −1.06095e12 | + | 1.83761e12i | −0.147129 | + | 0.254835i | ||||
\(721\) | 6.30308e12 | + | 1.09172e13i | 0.868648 | + | 1.50454i | ||||
\(722\) | −1.42386e12 | − | 2.46621e12i | −0.195008 | − | 0.337763i | ||||
\(723\) | 1.01532e12 | − | 1.75859e12i | 0.138191 | − | 0.239355i | ||||
\(724\) | 1.25726e12 | − | 2.17764e12i | 0.170060 | − | 0.294552i | ||||
\(725\) | 2.25404e12 | − | 3.90411e12i | 0.302998 | − | 0.524808i | ||||
\(726\) | 3.63527e12 | 0.485648 | ||||||||
\(727\) | 3.47196e12 | + | 6.01361e12i | 0.460967 | + | 0.798418i | 0.999009 | − | 0.0444998i | \(-0.0141694\pi\) |
−0.538043 | + | 0.842918i | \(0.680836\pi\) | |||||||
\(728\) | −3.32619e12 | + | 5.76112e12i | −0.438890 | + | 0.760179i | ||||
\(729\) | −4.07970e12 | −0.535001 | ||||||||
\(730\) | −3.33181e12 | −0.434237 | ||||||||
\(731\) | −4.84610e12 | + | 8.39369e12i | −0.627717 | + | 1.08724i | ||||
\(732\) | −2.31593e12 | −0.298144 | ||||||||
\(733\) | 9.87880e11 | + | 1.71106e12i | 0.126397 | + | 0.218926i | 0.922278 | − | 0.386527i | \(-0.126325\pi\) |
−0.795881 | + | 0.605453i | \(0.792992\pi\) | |||||||
\(734\) | −3.81771e12 | −0.485479 | ||||||||
\(735\) | −8.84410e12 | − | 1.53184e13i | −1.11779 | − | 1.93607i | ||||
\(736\) | −3.76173e11 | − | 6.51551e11i | −0.0472539 | − | 0.0818462i | ||||
\(737\) | −1.13294e12 | − | 1.96232e12i | −0.141451 | − | 0.245000i | ||||
\(738\) | −1.31830e12 | + | 2.28337e12i | −0.163592 | + | 0.283349i | ||||
\(739\) | −2.96842e12 | −0.366122 | −0.183061 | − | 0.983102i | \(-0.558601\pi\) | ||||
−0.183061 | + | 0.983102i | \(0.558601\pi\) | |||||||
\(740\) | −3.20632e12 | − | 3.99046e12i | −0.393065 | − | 0.489192i | ||||
\(741\) | −2.02354e12 | −0.246564 | ||||||||
\(742\) | −1.90130e12 | + | 3.29316e12i | −0.230268 | + | 0.398836i | ||||
\(743\) | 5.90091e12 | + | 1.02207e13i | 0.710345 | + | 1.23035i | 0.964727 | + | 0.263251i | \(0.0847946\pi\) |
−0.254382 | + | 0.967104i | \(0.581872\pi\) | |||||||
\(744\) | −4.21638e12 | − | 7.30298e12i | −0.504500 | − | 0.873820i | ||||
\(745\) | 5.36508e12 | + | 9.29259e12i | 0.638077 | + | 1.10518i | ||||
\(746\) | 6.10449e12 | 0.721647 | ||||||||
\(747\) | 3.64584e11 | + | 6.31478e11i | 0.0428405 | + | 0.0742020i | ||||
\(748\) | 2.79113e12 | 0.326004 | ||||||||
\(749\) | 5.96049e12 | − | 1.03239e13i | 0.692012 | − | 1.19860i | ||||
\(750\) | 5.33994e12 | 0.616255 | ||||||||
\(751\) | 3.52704e12 | 0.404605 | 0.202302 | − | 0.979323i | \(-0.435158\pi\) | ||||
0.202302 | + | 0.979323i | \(0.435158\pi\) | |||||||
\(752\) | −3.76262e12 | + | 6.51705e12i | −0.429052 | + | 0.743140i | ||||
\(753\) | 6.09032e12 | + | 1.05487e13i | 0.690340 | + | 1.19570i | ||||
\(754\) | 3.52986e12 | 0.397728 | ||||||||
\(755\) | −3.61699e12 | + | 6.26481e12i | −0.405122 | + | 0.701692i | ||||
\(756\) | 1.87900e12 | − | 3.25453e12i | 0.209209 | − | 0.362360i | ||||
\(757\) | 1.40260e11 | − | 2.42937e11i | 0.0155239 | − | 0.0268882i | −0.858159 | − | 0.513384i | \(-0.828392\pi\) |
0.873683 | + | 0.486496i | \(0.161725\pi\) | |||||||
\(758\) | 2.71068e12 | + | 4.69503e12i | 0.298240 | + | 0.516567i | ||||
\(759\) | 2.25052e11 | + | 3.89801e11i | 0.0246147 | + | 0.0426339i | ||||
\(760\) | −7.93298e11 | + | 1.37403e12i | −0.0862532 | + | 0.149395i | ||||
\(761\) | −7.42700e12 | + | 1.28639e13i | −0.802754 | + | 1.39041i | 0.115043 | + | 0.993361i | \(0.463299\pi\) |
−0.917797 | + | 0.397050i | \(0.870034\pi\) | |||||||
\(762\) | 1.93244e12 | − | 3.34708e12i | 0.207638 | − | 0.359640i | ||||
\(763\) | 2.60955e12 | 0.278744 | ||||||||
\(764\) | −3.18297e12 | − | 5.51307e12i | −0.337997 | − | 0.585427i | ||||
\(765\) | 2.96537e12 | − | 5.13617e12i | 0.313042 | − | 0.542204i | ||||
\(766\) | 1.86934e12 | 0.196182 | ||||||||
\(767\) | −6.06629e12 | −0.632913 | ||||||||
\(768\) | 2.32741e12 | − | 4.03119e12i | 0.241406 | − | 0.418127i | ||||
\(769\) | −1.08389e12 | −0.111767 | −0.0558837 | − | 0.998437i | \(-0.517798\pi\) | ||||
−0.0558837 | + | 0.998437i | \(0.517798\pi\) | |||||||
\(770\) | −1.08848e12 | − | 1.88530e12i | −0.111586 | − | 0.193273i | ||||
\(771\) | −1.47290e13 | −1.50117 | ||||||||
\(772\) | −2.74879e12 | − | 4.76104e12i | −0.278524 | − | 0.482418i | ||||
\(773\) | −3.11933e12 | − | 5.40284e12i | −0.314234 | − | 0.544270i | 0.665040 | − | 0.746808i | \(-0.268414\pi\) |
−0.979274 | + | 0.202538i | \(0.935081\pi\) | |||||||
\(774\) | −2.01737e12 | − | 3.49418e12i | −0.202046 | − | 0.349954i | ||||
\(775\) | 2.01795e12 | − | 3.49519e12i | 0.200934 | − | 0.348027i | ||||
\(776\) | 5.32940e11 | 0.0527595 | ||||||||
\(777\) | −1.51696e13 | − | 1.88794e13i | −1.49306 | − | 1.85820i | ||||
\(778\) | −3.08477e12 | −0.301866 | ||||||||
\(779\) | 1.45966e12 | − | 2.52821e12i | 0.142015 | − | 0.245977i | ||||
\(780\) | −2.75327e12 | − | 4.76880e12i | −0.266332 | − | 0.461300i | ||||
\(781\) | −1.60991e12 | − | 2.78844e12i | −0.154836 | − | 0.268183i | ||||
\(782\) | 2.22664e11 | + | 3.85665e11i | 0.0212921 | + | 0.0368791i | ||||
\(783\) | −4.43012e12 | −0.421199 | ||||||||
\(784\) | −5.63973e12 | − | 9.76830e12i | −0.533134 | − | 0.923415i | ||||
\(785\) | 1.32494e13 | 1.24532 | ||||||||
\(786\) | 5.60945e11 | − | 9.71585e11i | 0.0524226 | − | 0.0907987i | ||||
\(787\) | 5.56854e12 | 0.517434 | 0.258717 | − | 0.965953i | \(-0.416700\pi\) | ||||
0.258717 | + | 0.965953i | \(0.416700\pi\) | |||||||
\(788\) | 1.09789e13 | 1.01435 | ||||||||
\(789\) | 5.12182e12 | − | 8.87125e12i | 0.470520 | − | 0.814964i | ||||
\(790\) | −2.70608e12 | − | 4.68707e12i | −0.247183 | − | 0.428134i | ||||
\(791\) | 1.19594e13 | 1.08621 | ||||||||
\(792\) | −1.29069e12 | + | 2.23553e12i | −0.116562 | + | 0.201891i | ||||
\(793\) | 9.64071e11 | − | 1.66982e12i | 0.0865725 | − | 0.149948i | ||||
\(794\) | 1.13274e11 | − | 1.96196e11i | 0.0101143 | − | 0.0175185i | ||||
\(795\) | −3.49648e12 | − | 6.05607e12i | −0.310441 | − | 0.537699i | ||||
\(796\) | 3.25132e12 | + | 5.63145e12i | 0.287046 | + | 0.497178i | ||||
\(797\) | 7.61799e12 | − | 1.31947e13i | 0.668772 | − | 1.15835i | −0.309476 | − | 0.950907i | \(-0.600154\pi\) |
0.978248 | − | 0.207439i | \(-0.0665129\pi\) | |||||||
\(798\) | −1.68937e12 | + | 2.92608e12i | −0.147473 | + | 0.255430i | ||||
\(799\) | 1.05166e13 | − | 1.82153e13i | 0.912882 | − | 1.58116i | ||||
\(800\) | 4.69377e12 | 0.405151 | ||||||||
\(801\) | 7.08937e12 | + | 1.22791e13i | 0.608501 | + | 1.05395i | ||||
\(802\) | −2.73268e12 | + | 4.73315e12i | −0.233241 | + | 0.403985i | ||||
\(803\) | 6.00209e12 | 0.509427 | ||||||||
\(804\) | −9.57001e12 | −0.807719 | ||||||||
\(805\) | −7.83496e11 | + | 1.35705e12i | −0.0657590 | + | 0.113898i | ||||
\(806\) | 3.16014e12 | 0.263754 | ||||||||
\(807\) | 5.37897e12 | + | 9.31665e12i | 0.446445 | + | 0.773266i | ||||
\(808\) | 7.09654e11 | 0.0585728 | ||||||||
\(809\) | 6.20448e12 | + | 1.07465e13i | 0.509257 | + | 0.882059i | 0.999943 | + | 0.0107221i | \(0.00341303\pi\) |
−0.490686 | + | 0.871337i | \(0.663254\pi\) | |||||||
\(810\) | −2.33734e12 | − | 4.04840e12i | −0.190783 | − | 0.330446i | ||||
\(811\) | −1.10090e13 | − | 1.90681e13i | −0.893621 | − | 1.54780i | −0.835502 | − | 0.549488i | \(-0.814823\pi\) |
−0.0581193 | − | 0.998310i | \(-0.518510\pi\) | |||||||
\(812\) | −1.32951e13 | + | 2.30277e13i | −1.07322 | + | 1.85887i | ||||
\(813\) | 2.96226e12 | 0.237802 | ||||||||
\(814\) | −1.28030e12 | − | 1.59340e12i | −0.102212 | − | 0.127208i | ||||
\(815\) | 1.54028e13 | 1.22290 | ||||||||
\(816\) | 4.29811e12 | − | 7.44455e12i | 0.339369 | − | 0.587804i | ||||
\(817\) | 2.23369e12 | + | 3.86886e12i | 0.175398 | + | 0.303797i | ||||
\(818\) | 3.40779e12 | + | 5.90246e12i | 0.266123 | + | 0.460939i | ||||
\(819\) | −5.73086e12 | − | 9.92614e12i | −0.445084 | − | 0.770908i | ||||
\(820\) | 7.94421e12 | 0.613604 | ||||||||
\(821\) | 1.59638e12 | + | 2.76500e12i | 0.122628 | + | 0.212398i | 0.920803 | − | 0.390027i | \(-0.127534\pi\) |
−0.798175 | + | 0.602426i | \(0.794201\pi\) | |||||||
\(822\) | 7.91405e12 | 0.604610 | ||||||||
\(823\) | 2.25658e12 | − | 3.90851e12i | 0.171456 | − | 0.296970i | −0.767473 | − | 0.641081i | \(-0.778486\pi\) |
0.938929 | + | 0.344111i | \(0.111820\pi\) | |||||||
\(824\) | 9.98322e12 | 0.754394 | ||||||||
\(825\) | −2.80812e12 | −0.211044 | ||||||||
\(826\) | −5.06451e12 | + | 8.77199e12i | −0.378553 | + | 0.655674i | ||||
\(827\) | 8.86846e12 | + | 1.53606e13i | 0.659285 | + | 1.14192i | 0.980801 | + | 0.195011i | \(0.0624744\pi\) |
−0.321516 | + | 0.946904i | \(0.604192\pi\) | |||||||
\(828\) | 8.36356e11 | 0.0618379 | ||||||||
\(829\) | −7.48689e12 | + | 1.29677e13i | −0.550562 | + | 0.953601i | 0.447673 | + | 0.894198i | \(0.352253\pi\) |
−0.998234 | + | 0.0594030i | \(0.981080\pi\) | |||||||
\(830\) | −2.43492e11 | + | 4.21740e11i | −0.0178087 | + | 0.0308456i | ||||
\(831\) | −9.83758e12 | + | 1.70392e13i | −0.715622 | + | 1.23949i | ||||
\(832\) | −3.07250e11 | − | 5.32172e11i | −0.0222299 | − | 0.0385033i | ||||
\(833\) | 1.57632e13 | + | 2.73026e13i | 1.13433 | + | 1.96472i | ||||
\(834\) | 4.26713e12 | − | 7.39089e12i | 0.305414 | − | 0.528992i | ||||
\(835\) | 4.66970e11 | − | 8.08816e11i | 0.0332430 | − | 0.0575785i | ||||
\(836\) | 6.43252e11 | − | 1.11415e12i | 0.0455463 | − | 0.0788885i | ||||
\(837\) | −3.96611e12 | −0.279319 | ||||||||
\(838\) | −4.74570e12 | − | 8.21979e12i | −0.332432 | − | 0.575788i | ||||
\(839\) | 1.48430e12 | − | 2.57089e12i | 0.103417 | − | 0.179124i | −0.809673 | − | 0.586881i | \(-0.800356\pi\) |
0.913090 | + | 0.407757i | \(0.133689\pi\) | |||||||
\(840\) | −2.04268e13 | −1.41561 | ||||||||
\(841\) | 1.68385e13 | 1.16071 | ||||||||
\(842\) | −5.25246e12 | + | 9.09752e12i | −0.360129 | + | 0.623762i | ||||
\(843\) | 3.04113e13 | 2.07401 | ||||||||
\(844\) | −1.03746e13 | − | 1.79694e13i | −0.703770 | − | 1.21897i | ||||
\(845\) | −6.77731e12 | −0.457301 | ||||||||
\(846\) | 4.37792e12 | + | 7.58279e12i | 0.293834 | + | 0.508935i | ||||
\(847\) | −1.13994e13 | − | 1.97444e13i | −0.761040 | − | 1.31816i | ||||
\(848\) | −2.22964e12 | − | 3.86185e12i | −0.148066 | − | 0.256457i | ||||
\(849\) | −2.24460e12 | + | 3.88776e12i | −0.148270 | + | 0.256812i | ||||
\(850\) | −2.77833e12 | −0.182557 | ||||||||
\(851\) | −5.32501e11 | + | 1.37158e12i | −0.0348046 | + | 0.0896472i | ||||
\(852\) | −1.35989e13 | −0.884150 | ||||||||
\(853\) | −3.50331e12 | + | 6.06791e12i | −0.226573 | + | 0.392436i | −0.956790 | − | 0.290779i | \(-0.906085\pi\) |
0.730217 | + | 0.683215i | \(0.239419\pi\) | |||||||
\(854\) | −1.60973e12 | − | 2.78814e12i | −0.103560 | − | 0.179371i | ||||
\(855\) | −1.36681e12 | − | 2.36739e12i | −0.0874705 | − | 0.151503i | ||||
\(856\) | −4.72030e12 | − | 8.17580e12i | −0.300495 | − | 0.520473i | ||||
\(857\) | −1.59639e13 | −1.01094 | −0.505468 | − | 0.862845i | \(-0.668680\pi\) | ||||
−0.505468 | + | 0.862845i | \(0.668680\pi\) | |||||||
\(858\) | −1.09939e12 | − | 1.90420e12i | −0.0692562 | − | 0.119955i | ||||
\(859\) | −1.20102e13 | −0.752628 | −0.376314 | − | 0.926492i | \(-0.622809\pi\) | ||||
−0.376314 | + | 0.926492i | \(0.622809\pi\) | |||||||
\(860\) | −6.07842e12 | + | 1.05281e13i | −0.378920 | + | 0.656308i | ||||
\(861\) | 3.75851e13 | 2.33078 | ||||||||
\(862\) | 2.70726e12 | 0.167012 | ||||||||
\(863\) | 1.41294e13 | − | 2.44728e13i | 0.867112 | − | 1.50188i | 0.00217741 | − | 0.999998i | \(-0.499307\pi\) |
0.864935 | − | 0.501885i | \(-0.167360\pi\) | |||||||
\(864\) | −2.30630e12 | − | 3.99463e12i | −0.140800 | − | 0.243873i | ||||
\(865\) | −4.82636e12 | −0.293121 | ||||||||
\(866\) | −3.53469e12 | + | 6.12227e12i | −0.213561 | + | 0.369898i | ||||
\(867\) | −8.97439e11 | + | 1.55441e12i | −0.0539410 | + | 0.0934285i | ||||
\(868\) | −1.19025e13 | + | 2.06158e13i | −0.711706 | + | 1.23271i | ||||
\(869\) | 4.87487e12 | + | 8.44352e12i | 0.289984 | + | 0.502267i | ||||
\(870\) | 5.41938e12 | + | 9.38665e12i | 0.320711 | + | 0.555487i | ||||
\(871\) | 3.98379e12 | − | 6.90012e12i | 0.234539 | − | 0.406233i | ||||
\(872\) | 1.03329e12 | − | 1.78972e12i | 0.0605201 | − | 0.104824i | ||||
\(873\) | −4.59115e11 | + | 7.95210e11i | −0.0267521 | + | 0.0463359i | ||||
\(874\) | 2.05263e11 | 0.0118990 | ||||||||
\(875\) | −1.67449e13 | − | 2.90030e13i | −0.965710 | − | 1.67266i | ||||
\(876\) | 1.26749e13 | − | 2.19536e13i | 0.727239 | − | 1.25962i | ||||
\(877\) | −5.42980e12 | −0.309946 | −0.154973 | − | 0.987919i | \(-0.549529\pi\) | ||||
−0.154973 | + | 0.987919i | \(0.549529\pi\) | |||||||
\(878\) | 5.80185e12 | 0.329489 | ||||||||
\(879\) | 5.91345e12 | − | 1.02424e13i | 0.334111 | − | 0.578698i | ||||
\(880\) | 2.55289e12 | 0.143503 | ||||||||
\(881\) | −1.14083e13 | − | 1.97597e13i | −0.638011 | − | 1.10507i | −0.985869 | − | 0.167520i | \(-0.946424\pi\) |
0.347858 | − | 0.937547i | \(-0.386909\pi\) | |||||||
\(882\) | −1.31240e13 | −0.730226 | ||||||||
\(883\) | 8.88814e12 | + | 1.53947e13i | 0.492026 | + | 0.852214i | 0.999958 | − | 0.00918338i | \(-0.00292320\pi\) |
−0.507932 | + | 0.861397i | \(0.669590\pi\) | |||||||
\(884\) | 4.90725e12 | + | 8.49960e12i | 0.270273 | + | 0.468127i | ||||
\(885\) | −9.31357e12 | − | 1.61316e13i | −0.510354 | − | 0.883959i | ||||
\(886\) | 3.76750e12 | − | 6.52551e12i | 0.205401 | − | 0.355764i | ||||
\(887\) | −2.38636e13 | −1.29444 | −0.647218 | − | 0.762305i | \(-0.724068\pi\) | ||||
−0.647218 | + | 0.762305i | \(0.724068\pi\) | |||||||
\(888\) | −1.89548e13 | + | 2.92818e12i | −1.02296 | + | 0.158030i | ||||
\(889\) | −2.42388e13 | −1.30153 | ||||||||
\(890\) | −4.73472e12 | + | 8.20077e12i | −0.252952 | + | 0.438126i | ||||
\(891\) | 4.21061e12 | + | 7.29298e12i | 0.223818 | + | 0.387664i | ||||
\(892\) | 1.40534e13 | + | 2.43412e13i | 0.743257 | + | 1.28736i | ||||
\(893\) | −4.84737e12 | − | 8.39589e12i | −0.255079 | − | 0.441809i | ||||
\(894\) | 1.80960e13 | 0.947467 | ||||||||
\(895\) | −7.96805e12 | − | 1.38011e13i | −0.415096 | − | 0.718967i | ||||
\(896\) | −3.48481e13 | −1.80631 | ||||||||
\(897\) | −7.91351e11 | + | 1.37066e12i | −0.0408135 | + | 0.0706910i | ||||
\(898\) | −1.46840e13 | −0.753529 | ||||||||
\(899\) | 2.80625e13 | 1.43287 | ||||||||
\(900\) | −2.60894e12 | + | 4.51882e12i | −0.132548 | + | 0.229580i | ||||
\(901\) | 6.23189e12 | + | 1.07940e13i | 0.315035 | + | 0.545656i | ||||
\(902\) | 3.17215e12 | 0.159560 | ||||||||
\(903\) | −2.87578e13 | + | 4.98100e13i | −1.43933 | + | 2.49300i | ||||
\(904\) | 4.73552e12 | − | 8.20217e12i | 0.235836 | − | 0.408480i | ||||
\(905\) | −3.21412e12 | + | 5.56702e12i | −0.159273 | + | 0.275870i | ||||
\(906\) | 6.09992e12 | + | 1.05654e13i | 0.300779 | + | 0.520964i | ||||
\(907\) | 3.83983e12 | + | 6.65078e12i | 0.188399 | + | 0.326317i | 0.944717 | − | 0.327888i | \(-0.106337\pi\) |
−0.756317 | + | 0.654205i | \(0.773003\pi\) | |||||||
\(908\) | −7.33853e12 | + | 1.27107e13i | −0.358280 | + | 0.620559i | ||||
\(909\) | −6.11350e11 | + | 1.05889e12i | −0.0296997 | + | 0.0514414i | ||||
\(910\) | 3.82742e12 | − | 6.62929e12i | 0.185021 | − | 0.320465i | ||||
\(911\) | −7.08628e12 | −0.340868 | −0.170434 | − | 0.985369i | \(-0.554517\pi\) | ||||
−0.170434 | + | 0.985369i | \(0.554517\pi\) | |||||||
\(912\) | −1.98111e12 | − | 3.43138e12i | −0.0948269 | − | 0.164245i | ||||
\(913\) | 4.38638e11 | − | 7.59743e11i | 0.0208924 | − | 0.0361866i | ||||
\(914\) | 1.59791e12 | 0.0757348 | ||||||||
\(915\) | 5.92055e12 | 0.279233 | ||||||||
\(916\) | 9.17473e12 | − | 1.58911e13i | 0.430590 | − | 0.745804i | ||||
\(917\) | −7.03602e12 | −0.328598 | ||||||||
\(918\) | 1.36514e12 | + | 2.36449e12i | 0.0634432 | + | 0.109887i | ||||
\(919\) | −1.39199e13 | −0.643749 | −0.321874 | − | 0.946782i | \(-0.604313\pi\) | ||||
−0.321874 | + | 0.946782i | \(0.604313\pi\) | |||||||
\(920\) | 6.20476e11 | + | 1.07470e12i | 0.0285548 | + | 0.0494584i | ||||
\(921\) | 1.90561e13 | + | 3.30061e13i | 0.872701 | + | 1.51156i | ||||
\(922\) | −1.00993e11 | − | 1.74925e11i | −0.00460258 | − | 0.00797191i | ||||
\(923\) | 5.66093e12 | − | 9.80501e12i | 0.256732 | − | 0.444673i | ||||
\(924\) | 1.65632e13 | 0.747516 | ||||||||
\(925\) | −5.74952e12 | − | 7.15561e12i | −0.258222 | − | 0.321373i | ||||
\(926\) | −7.41874e12 | −0.331574 | ||||||||
\(927\) | −8.60030e12 | + | 1.48962e13i | −0.382521 | + | 0.662545i | ||||
\(928\) | 1.63184e13 | + | 2.82643e13i | 0.722290 | + | 1.25104i | ||||
\(929\) | 9.80949e12 | + | 1.69905e13i | 0.432092 | + | 0.748405i | 0.997053 | − | 0.0767124i | \(-0.0244423\pi\) |
−0.564962 | + | 0.825117i | \(0.691109\pi\) | |||||||
\(930\) | 4.85176e12 | + | 8.40349e12i | 0.212680 | + | 0.368372i | ||||
\(931\) | 1.45313e13 | 0.633914 | ||||||||
\(932\) | −5.21210e12 | − | 9.02763e12i | −0.226277 | − | 0.391924i | ||||
\(933\) | −2.90452e13 | −1.25489 | ||||||||
\(934\) | 6.89871e12 | − | 1.19489e13i | 0.296624 | − | 0.513768i | ||||
\(935\) | −7.13538e12 | −0.305327 | ||||||||
\(936\) | −9.07690e12 | −0.386542 | ||||||||
\(937\) | 6.00269e12 | − | 1.03970e13i | 0.254400 | − | 0.440634i | −0.710332 | − | 0.703867i | \(-0.751455\pi\) |
0.964732 | + | 0.263232i | \(0.0847886\pi\) | |||||||
\(938\) | −6.65181e12 | − | 1.15213e13i | −0.280561 | − | 0.485946i | ||||
\(939\) | 3.18294e13 | 1.33608 | ||||||||
\(940\) | 1.31909e13 | − | 2.28473e13i | 0.551059 | − | 0.954462i | ||||
\(941\) | −1.89335e13 | + | 3.27938e13i | −0.787186 | + | 1.36345i | 0.140498 | + | 0.990081i | \(0.455130\pi\) |
−0.927684 | + | 0.373366i | \(0.878204\pi\) | |||||||
\(942\) | 1.11723e13 | − | 1.93510e13i | 0.462288 | − | 0.800706i | ||||
\(943\) | −1.14167e12 | − | 1.97743e12i | −0.0470153 | − | 0.0814328i | ||||
\(944\) | −5.93910e12 | − | 1.02868e13i | −0.243415 | − | 0.421607i | ||||
\(945\) | −4.80357e12 | + | 8.32003e12i | −0.195939 | + | 0.339376i | ||||
\(946\) | −2.42713e12 | + | 4.20392e12i | −0.0985334 | + | 0.170665i | ||||
\(947\) | −1.53479e13 | + | 2.65834e13i | −0.620119 | + | 1.07408i | 0.369344 | + | 0.929293i | \(0.379582\pi\) |
−0.989463 | + | 0.144785i | \(0.953751\pi\) | |||||||
\(948\) | 4.11781e13 | 1.65588 | ||||||||
\(949\) | 1.05526e13 | + | 1.82776e13i | 0.422339 | + | 0.731513i | ||||
\(950\) | −6.40300e11 | + | 1.10903e12i | −0.0255051 | + | 0.0441762i | ||||
\(951\) | −1.78671e13 | −0.708338 | ||||||||
\(952\) | 3.64073e13 | 1.43656 | ||||||||
\(953\) | 1.43046e13 | − | 2.47763e13i | 0.561768 | − | 0.973011i | −0.435574 | − | 0.900153i | \(-0.643455\pi\) |
0.997342 | − | 0.0728583i | \(-0.0232121\pi\) | |||||||
\(954\) | −5.18851e12 | −0.202803 | ||||||||
\(955\) | 8.13709e12 | + | 1.40939e13i | 0.316558 | + | 0.548295i | ||||
\(956\) | −2.38911e13 | −0.925071 | ||||||||
\(957\) | −9.76275e12 | − | 1.69096e13i | −0.376243 | − | 0.651672i | ||||
\(958\) | 1.36490e12 | + | 2.36408e12i | 0.0523549 | + | 0.0906813i | ||||
\(959\) | −2.48168e13 | − | 4.29839e13i | −0.947462 | − | 1.64105i | ||||
\(960\) | 9.43441e11 | − | 1.63409e12i | 0.0358504 | − | 0.0620947i | ||||
\(961\) | −1.31636e12 | −0.0497875 | ||||||||
\(962\) | 2.60130e12 | − | 6.70022e12i | 0.0979269 | − | 0.252233i | ||||
\(963\) | 1.62657e13 | 0.609473 | ||||||||
\(964\) | −2.26982e12 | + | 3.93144e12i | −0.0846534 | + | 0.146624i | ||||
\(965\) | 7.02712e12 | + | 1.21713e13i | 0.260858 | + | 0.451820i | ||||
\(966\) | 1.32134e12 | + | 2.28862e12i | 0.0488221 | + | 0.0845623i | ||||
\(967\) | 5.22499e12 | + | 9.04994e12i | 0.192161 | + | 0.332833i | 0.945966 | − | 0.324265i | \(-0.105117\pi\) |
−0.753805 | + | 0.657098i | \(0.771784\pi\) | |||||||
\(968\) | −1.80551e13 | −0.660940 | ||||||||
\(969\) | 5.53724e12 | + | 9.59078e12i | 0.201761 | + | 0.349459i | ||||
\(970\) | −6.13250e11 | −0.0222415 | ||||||||
\(971\) | 1.87037e13 | − | 3.23957e13i | 0.675212 | − | 1.16950i | −0.301195 | − | 0.953562i | \(-0.597386\pi\) |
0.976407 | − | 0.215939i | \(-0.0692811\pi\) | |||||||
\(972\) | 2.90397e13 | 1.04350 | ||||||||
\(973\) | −5.35232e13 | −1.91441 | ||||||||
\(974\) | 6.06262e12 | − | 1.05008e13i | 0.215846 | − | 0.373857i | ||||
\(975\) | −4.93711e12 | − | 8.55133e12i | −0.174965 | − | 0.303049i | ||||
\(976\) | 3.77543e12 | 0.133181 | ||||||||
\(977\) | 2.17111e13 | − | 3.76048e13i | 0.762354 | − | 1.32044i | −0.179280 | − | 0.983798i | \(-0.557377\pi\) |
0.941634 | − | 0.336638i | \(-0.109290\pi\) | |||||||
\(978\) | 1.29882e13 | − | 2.24962e13i | 0.453965 | − | 0.786291i | ||||
\(979\) | 8.52935e12 | − | 1.47733e13i | 0.296752 | − | 0.513990i | ||||
\(980\) | 1.97716e13 | + | 3.42454e13i | 0.684737 | + | 1.18600i | ||||
\(981\) | 1.78031e12 | + | 3.08359e12i | 0.0613742 | + | 0.106303i | ||||
\(982\) | −1.62124e12 | + | 2.80808e12i | −0.0556348 | + | 0.0963623i | ||||
\(983\) | −1.46738e13 | + | 2.54158e13i | −0.501247 | + | 0.868185i | 0.498752 | + | 0.866745i | \(0.333792\pi\) |
−0.999999 | + | 0.00144059i | \(0.999541\pi\) | |||||||
\(984\) | 1.48824e13 | − | 2.57771e13i | 0.506053 | − | 0.876510i | ||||
\(985\) | −2.80669e13 | −0.950016 | ||||||||
\(986\) | −9.65916e12 | − | 1.67302e13i | −0.325457 | − | 0.563708i | ||||
\(987\) | 6.24079e13 | − | 1.08094e14i | 2.09321 | − | 3.62554i | ||||
\(988\) | 4.52375e12 | 0.151040 | ||||||||
\(989\) | 3.49415e12 | 0.116134 | ||||||||
\(990\) | 1.48518e12 | − | 2.57241e12i | 0.0491385 | − | 0.0851103i | ||||
\(991\) | 4.05032e13 | 1.33401 | 0.667003 | − | 0.745055i | \(-0.267577\pi\) | ||||
0.667003 | + | 0.745055i | \(0.267577\pi\) | |||||||
\(992\) | 1.46092e13 | + | 2.53039e13i | 0.478988 | + | 0.829631i | ||||
\(993\) | −6.20760e13 | −2.02606 | ||||||||
\(994\) | −9.45217e12 | − | 1.63716e13i | −0.307109 | − | 0.531929i | ||||
\(995\) | −8.31182e12 | − | 1.43965e13i | −0.268839 | − | 0.465643i | ||||
\(996\) | −1.85259e12 | − | 3.20878e12i | −0.0596503 | − | 0.103317i | ||||
\(997\) | −5.47070e11 | + | 9.47552e11i | −0.0175353 | + | 0.0303721i | −0.874660 | − | 0.484737i | \(-0.838915\pi\) |
0.857125 | + | 0.515109i | \(0.172249\pi\) | |||||||
\(998\) | 1.73599e12 | 0.0553935 | ||||||||
\(999\) | −3.26473e12 | + | 8.40906e12i | −0.103706 | + | 0.267118i |
(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 | 37.10.c.a.10.17 | ✓ | 54 | |
37.26 | even | 3 | inner | 37.10.c.a.26.17 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.10.c.a.10.17 | ✓ | 54 | 1.1 | even | 1 | trivial | |
37.10.c.a.26.17 | yes | 54 | 37.26 | even | 3 | inner |