Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), 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: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.26 | ||
Character | \(\chi\) | \(=\) | 43.37 |
Dual form | 43.11.d.a.7.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 28.8579i | 0.901810i | 0.892572 | + | 0.450905i | \(0.148899\pi\) | ||||
−0.892572 | + | 0.450905i | \(0.851101\pi\) | |||||||
\(3\) | −341.461 | − | 197.142i | −1.40519 | − | 0.811285i | −0.410269 | − | 0.911965i | \(-0.634565\pi\) |
−0.994919 | + | 0.100679i | \(0.967898\pi\) | |||||||
\(4\) | 191.221 | 0.186739 | ||||||||
\(5\) | −978.980 | − | 565.214i | −0.313274 | − | 0.180869i | 0.335117 | − | 0.942177i | \(-0.391224\pi\) |
−0.648390 | + | 0.761308i | \(0.724558\pi\) | |||||||
\(6\) | 5689.12 | − | 9853.84i | 0.731625 | − | 1.26721i | ||||
\(7\) | −26555.4 | + | 15331.8i | −1.58002 | + | 0.912225i | −0.585166 | + | 0.810914i | \(0.698971\pi\) |
−0.994855 | + | 0.101312i | \(0.967696\pi\) | |||||||
\(8\) | 35068.7i | 1.07021i | ||||||||
\(9\) | 48205.7 | + | 83494.7i | 0.816368 | + | 1.41399i | ||||
\(10\) | 16310.9 | − | 28251.3i | 0.163109 | − | 0.282513i | ||||
\(11\) | −168355. | −1.04535 | −0.522675 | − | 0.852532i | \(-0.675066\pi\) | ||||
−0.522675 | + | 0.852532i | \(0.675066\pi\) | |||||||
\(12\) | −65294.3 | − | 37697.7i | −0.262403 | − | 0.151499i | ||||
\(13\) | 13790.3 | + | 23885.4i | 0.0371412 | + | 0.0643304i | 0.883998 | − | 0.467490i | \(-0.154842\pi\) |
−0.846857 | + | 0.531820i | \(0.821508\pi\) | |||||||
\(14\) | −442443. | − | 766334.i | −0.822654 | − | 1.42488i | ||||
\(15\) | 222855. | + | 385997.i | 0.293472 | + | 0.508309i | ||||
\(16\) | −816201. | −0.778390 | ||||||||
\(17\) | −135662. | − | 234973.i | −0.0955462 | − | 0.165491i | 0.814290 | − | 0.580458i | \(-0.197126\pi\) |
−0.909836 | + | 0.414967i | \(0.863793\pi\) | |||||||
\(18\) | −2.40948e6 | + | 1.39112e6i | −1.27515 | + | 0.736209i | ||||
\(19\) | −440585. | − | 254372.i | −0.177935 | − | 0.102731i | 0.408387 | − | 0.912809i | \(-0.366091\pi\) |
−0.586322 | + | 0.810078i | \(0.699425\pi\) | |||||||
\(20\) | −187201. | − | 108081.i | −0.0585004 | − | 0.0337752i | ||||
\(21\) | 1.20902e7 | 2.96030 | ||||||||
\(22\) | − | 4.85836e6i | − | 0.942707i | ||||||
\(23\) | −710071. | + | 1.22988e6i | −0.110322 | + | 0.191084i | −0.915900 | − | 0.401406i | \(-0.868522\pi\) |
0.805578 | + | 0.592490i | \(0.201855\pi\) | |||||||
\(24\) | 6.91353e6 | − | 1.19746e7i | 0.868248 | − | 1.50385i | ||||
\(25\) | −4.24388e6 | − | 7.35061e6i | −0.434573 | − | 0.752703i | ||||
\(26\) | −689284. | + | 397958.i | −0.0580138 | + | 0.0334943i | ||||
\(27\) | − | 1.47314e7i | − | 1.02666i | ||||||
\(28\) | −5.07794e6 | + | 2.93175e6i | −0.295051 | + | 0.170348i | ||||
\(29\) | 3.31769e7 | − | 1.91547e7i | 1.61751 | − | 0.933867i | 0.629943 | − | 0.776641i | \(-0.283078\pi\) |
0.987563 | − | 0.157226i | \(-0.0502552\pi\) | |||||||
\(30\) | −1.11391e7 | + | 6.43114e6i | −0.458398 | + | 0.264656i | ||||
\(31\) | −1.15422e7 | + | 1.99917e7i | −0.403163 | + | 0.698299i | −0.994106 | − | 0.108415i | \(-0.965423\pi\) |
0.590943 | + | 0.806713i | \(0.298756\pi\) | |||||||
\(32\) | 1.23565e7i | 0.368254i | ||||||||
\(33\) | 5.74865e7 | + | 3.31898e7i | 1.46891 | + | 0.848077i | ||||
\(34\) | 6.78084e6 | − | 3.91492e6i | 0.149241 | − | 0.0861645i | ||||
\(35\) | 3.46629e7 | 0.659972 | ||||||||
\(36\) | 9.21793e6 | + | 1.59659e7i | 0.152448 | + | 0.264047i | ||||
\(37\) | 8.72706e7 | + | 5.03857e7i | 1.25852 | + | 0.726605i | 0.972786 | − | 0.231705i | \(-0.0744303\pi\) |
0.285731 | + | 0.958310i | \(0.407764\pi\) | |||||||
\(38\) | 7.34065e6 | − | 1.27144e7i | 0.0926438 | − | 0.160464i | ||||
\(39\) | − | 1.08746e7i | − | 0.120528i | ||||||
\(40\) | 1.98214e7 | − | 3.43316e7i | 0.193568 | − | 0.335269i | ||||
\(41\) | −1.78315e8 | −1.53911 | −0.769555 | − | 0.638580i | \(-0.779522\pi\) | ||||
−0.769555 | + | 0.638580i | \(0.779522\pi\) | |||||||
\(42\) | 3.48897e8i | 2.66963i | ||||||||
\(43\) | 2.30803e7 | − | 1.45185e8i | 0.157000 | − | 0.987599i | ||||
\(44\) | −3.21929e7 | −0.195208 | ||||||||
\(45\) | − | 1.08986e8i | − | 0.590621i | ||||||
\(46\) | −3.54918e7 | − | 2.04912e7i | −0.172321 | − | 0.0994896i | ||||
\(47\) | 1.13171e8 | 0.493453 | 0.246727 | − | 0.969085i | \(-0.420645\pi\) | ||||
0.246727 | + | 0.969085i | \(0.420645\pi\) | |||||||
\(48\) | 2.78700e8 | + | 1.60908e8i | 1.09378 | + | 0.631496i | ||||
\(49\) | 3.28889e8 | − | 5.69652e8i | 1.16431 | − | 2.01664i | ||||
\(50\) | 2.12123e8 | − | 1.22469e8i | 0.678795 | − | 0.391902i | ||||
\(51\) | 1.06979e8i | 0.310061i | ||||||||
\(52\) | 2.63698e6 | + | 4.56739e6i | 0.00693571 | + | 0.0120130i | ||||
\(53\) | 2.03726e8 | − | 3.52863e8i | 0.487154 | − | 0.843776i | −0.512737 | − | 0.858546i | \(-0.671368\pi\) |
0.999891 | + | 0.0147700i | \(0.00470161\pi\) | |||||||
\(54\) | 4.25118e8 | 0.925851 | ||||||||
\(55\) | 1.64816e8 | + | 9.51565e7i | 0.327480 | + | 0.189071i | ||||
\(56\) | −5.37666e8 | − | 9.31264e8i | −0.976275 | − | 1.69096i | ||||
\(57\) | 1.00295e8 | + | 1.73716e8i | 0.166688 | + | 0.288713i | ||||
\(58\) | 5.52765e8 | + | 9.57416e8i | 0.842171 | + | 1.45868i | ||||
\(59\) | −7.45280e7 | −0.104246 | −0.0521230 | − | 0.998641i | \(-0.516599\pi\) | ||||
−0.0521230 | + | 0.998641i | \(0.516599\pi\) | |||||||
\(60\) | 4.26146e7 | + | 7.38106e7i | 0.0548027 | + | 0.0949210i | ||||
\(61\) | 5.23200e8 | − | 3.02070e8i | 0.619468 | − | 0.357650i | −0.157194 | − | 0.987568i | \(-0.550245\pi\) |
0.776662 | + | 0.629918i | \(0.216911\pi\) | |||||||
\(62\) | −5.76919e8 | − | 3.33084e8i | −0.629733 | − | 0.363576i | ||||
\(63\) | −2.56024e9 | − | 1.47816e9i | −2.57976 | − | 1.48942i | ||||
\(64\) | −1.19237e9 | −1.11048 | ||||||||
\(65\) | − | 3.11778e7i | − | 0.0268707i | ||||||
\(66\) | −9.57789e8 | + | 1.65894e9i | −0.764804 | + | 1.32468i | ||||
\(67\) | −2.78755e8 | + | 4.82818e8i | −0.206466 | + | 0.357610i | −0.950599 | − | 0.310422i | \(-0.899530\pi\) |
0.744133 | + | 0.668032i | \(0.232863\pi\) | |||||||
\(68\) | −2.59414e7 | − | 4.49318e7i | −0.0178422 | − | 0.0309036i | ||||
\(69\) | 4.84923e8 | − | 2.79970e8i | 0.310047 | − | 0.179005i | ||||
\(70\) | 1.00030e9i | 0.595169i | ||||||||
\(71\) | 1.93644e9 | − | 1.11800e9i | 1.07328 | − | 0.619656i | 0.144202 | − | 0.989548i | \(-0.453939\pi\) |
0.929075 | + | 0.369892i | \(0.120605\pi\) | |||||||
\(72\) | −2.92806e9 | + | 1.69051e9i | −1.51327 | + | 0.873688i | ||||
\(73\) | −1.55836e9 | + | 8.99718e8i | −0.751715 | + | 0.434003i | −0.826313 | − | 0.563211i | \(-0.809566\pi\) |
0.0745985 | + | 0.997214i | \(0.476232\pi\) | |||||||
\(74\) | −1.45403e9 | + | 2.51845e9i | −0.655260 | + | 1.13494i | ||||
\(75\) | 3.34659e9i | 1.41025i | ||||||||
\(76\) | −8.42490e7 | − | 4.86412e7i | −0.0332274 | − | 0.0191839i | ||||
\(77\) | 4.47073e9 | − | 2.58117e9i | 1.65167 | − | 0.953595i | ||||
\(78\) | 3.13818e8 | 0.108694 | ||||||||
\(79\) | 8.79229e7 | + | 1.52287e8i | 0.0285737 | + | 0.0494911i | 0.879959 | − | 0.475050i | \(-0.157570\pi\) |
−0.851385 | + | 0.524541i | \(0.824237\pi\) | |||||||
\(80\) | 7.99044e8 | + | 4.61328e8i | 0.243849 | + | 0.140786i | ||||
\(81\) | −5.76898e7 | + | 9.99217e7i | −0.0165453 | + | 0.0286573i | ||||
\(82\) | − | 5.14581e9i | − | 1.38798i | ||||||
\(83\) | −3.00323e9 | + | 5.20174e9i | −0.762426 | + | 1.32056i | 0.179170 | + | 0.983818i | \(0.442659\pi\) |
−0.941597 | + | 0.336743i | \(0.890675\pi\) | |||||||
\(84\) | 2.31189e9 | 0.552803 | ||||||||
\(85\) | 3.06712e8i | 0.0691252i | ||||||||
\(86\) | 4.18975e9 | + | 6.66048e8i | 0.890626 | + | 0.141584i | ||||
\(87\) | −1.51048e10 | −3.03053 | ||||||||
\(88\) | − | 5.90398e9i | − | 1.11875i | ||||||
\(89\) | −4.82894e9 | − | 2.78799e9i | −0.864773 | − | 0.499277i | 0.000834978 | − | 1.00000i | \(-0.499734\pi\) |
−0.865608 | + | 0.500723i | \(0.833068\pi\) | |||||||
\(90\) | 3.14512e9 | 0.532628 | ||||||||
\(91\) | −7.32412e8 | − | 4.22858e8i | −0.117368 | − | 0.0677623i | ||||
\(92\) | −1.35780e8 | + | 2.35178e8i | −0.0206014 | + | 0.0356827i | ||||
\(93\) | 7.88242e9 | − | 4.55092e9i | 1.13304 | − | 0.654160i | ||||
\(94\) | 3.26588e9i | 0.445001i | ||||||||
\(95\) | 2.87549e8 | + | 4.98050e8i | 0.0371616 | + | 0.0643658i | ||||
\(96\) | 2.43600e9 | − | 4.21927e9i | 0.298759 | − | 0.517465i | ||||
\(97\) | −5.09176e9 | −0.592938 | −0.296469 | − | 0.955043i | \(-0.595809\pi\) | ||||
−0.296469 | + | 0.955043i | \(0.595809\pi\) | |||||||
\(98\) | 1.64390e10 | + | 9.49104e9i | 1.81863 | + | 1.04999i | ||||
\(99\) | −8.11566e9 | − | 1.40567e10i | −0.853390 | − | 1.47812i | ||||
\(100\) | −8.11517e8 | − | 1.40559e9i | −0.0811517 | − | 0.140559i | ||||
\(101\) | 9.40004e9 | + | 1.62813e10i | 0.894381 | + | 1.54911i | 0.834569 | + | 0.550904i | \(0.185717\pi\) |
0.0598126 | + | 0.998210i | \(0.480950\pi\) | |||||||
\(102\) | −3.08719e9 | −0.279616 | ||||||||
\(103\) | 6.78404e9 | + | 1.17503e10i | 0.585198 | + | 1.01359i | 0.994851 | + | 0.101351i | \(0.0323164\pi\) |
−0.409653 | + | 0.912241i | \(0.634350\pi\) | |||||||
\(104\) | −8.37632e8 | + | 4.83607e8i | −0.0688473 | + | 0.0397490i | ||||
\(105\) | −1.18360e10 | − | 6.83353e9i | −0.927384 | − | 0.535425i | ||||
\(106\) | 1.01829e10 | + | 5.87910e9i | 0.760925 | + | 0.439321i | ||||
\(107\) | −1.30675e10 | −0.931696 | −0.465848 | − | 0.884865i | \(-0.654251\pi\) | ||||
−0.465848 | + | 0.884865i | \(0.654251\pi\) | |||||||
\(108\) | − | 2.81695e9i | − | 0.191717i | ||||||
\(109\) | 6.52898e9 | − | 1.13085e10i | 0.424339 | − | 0.734977i | −0.572019 | − | 0.820240i | \(-0.693840\pi\) |
0.996358 | + | 0.0852633i | \(0.0271732\pi\) | |||||||
\(110\) | −2.74602e9 | + | 4.75624e9i | −0.170506 | + | 0.295325i | ||||
\(111\) | −1.98663e10 | − | 3.44094e10i | −1.17897 | − | 2.04203i | ||||
\(112\) | 2.16745e10 | − | 1.25138e10i | 1.22987 | − | 0.710067i | ||||
\(113\) | 9.13002e9i | 0.495541i | 0.968819 | + | 0.247771i | \(0.0796979\pi\) | ||||
−0.968819 | + | 0.247771i | \(0.920302\pi\) | |||||||
\(114\) | −5.01308e9 | + | 2.89430e9i | −0.260364 | + | 0.150321i | ||||
\(115\) | 1.39029e9 | − | 8.02685e8i | 0.0691220 | − | 0.0399076i | ||||
\(116\) | 6.34411e9 | − | 3.66277e9i | 0.302051 | − | 0.174389i | ||||
\(117\) | −1.32954e9 | + | 2.30283e9i | −0.0606418 | + | 0.105035i | ||||
\(118\) | − | 2.15072e9i | − | 0.0940101i | ||||||
\(119\) | 7.20512e9 | + | 4.15988e9i | 0.301930 | + | 0.174319i | ||||
\(120\) | −1.35364e10 | + | 7.81526e9i | −0.543998 | + | 0.314078i | ||||
\(121\) | 2.40586e9 | 0.0927564 | ||||||||
\(122\) | 8.71710e9 | + | 1.50985e10i | 0.322532 | + | 0.558642i | ||||
\(123\) | 6.08877e10 | + | 3.51535e10i | 2.16274 | + | 1.24866i | ||||
\(124\) | −2.20711e9 | + | 3.82283e9i | −0.0752862 | + | 0.130400i | ||||
\(125\) | 2.06341e10i | 0.676140i | ||||||||
\(126\) | 4.26565e10 | − | 7.38833e10i | 1.34318 | − | 2.32645i | ||||
\(127\) | 4.91769e10 | 1.48848 | 0.744240 | − | 0.667913i | \(-0.232812\pi\) | ||||
0.744240 | + | 0.667913i | \(0.232812\pi\) | |||||||
\(128\) | − | 2.17563e10i | − | 0.633192i | ||||||
\(129\) | −3.65032e10 | + | 4.50250e10i | −1.02184 | + | 1.26039i | ||||
\(130\) | 8.99727e8 | 0.0242323 | ||||||||
\(131\) | − | 4.46785e10i | − | 1.15809i | −0.815296 | − | 0.579045i | \(-0.803426\pi\) | ||
0.815296 | − | 0.579045i | \(-0.196574\pi\) | |||||||
\(132\) | 1.09926e10 | + | 6.34658e9i | 0.274303 | + | 0.158369i | ||||
\(133\) | 1.55999e10 | 0.374855 | ||||||||
\(134\) | −1.39331e10 | − | 8.04429e9i | −0.322496 | − | 0.186193i | ||||
\(135\) | −8.32642e9 | + | 1.44218e10i | −0.185690 | + | 0.321625i | ||||
\(136\) | 8.24022e9 | − | 4.75749e9i | 0.177111 | − | 0.102255i | ||||
\(137\) | 4.60215e10i | 0.953581i | 0.879017 | + | 0.476790i | \(0.158200\pi\) | ||||
−0.879017 | + | 0.476790i | \(0.841800\pi\) | |||||||
\(138\) | 8.07936e9 | + | 1.39939e10i | 0.161429 | + | 0.279603i | ||||
\(139\) | −9.21087e9 | + | 1.59537e10i | −0.177512 | + | 0.307459i | −0.941028 | − | 0.338330i | \(-0.890138\pi\) |
0.763516 | + | 0.645789i | \(0.223471\pi\) | |||||||
\(140\) | 6.62827e9 | 0.123242 | ||||||||
\(141\) | −3.86434e10 | − | 2.23108e10i | −0.693394 | − | 0.400331i | ||||
\(142\) | 3.22632e10 | + | 5.58815e10i | 0.558812 | + | 0.967891i | ||||
\(143\) | −2.32166e9 | − | 4.02122e9i | −0.0388255 | − | 0.0672478i | ||||
\(144\) | −3.93455e10 | − | 6.81485e10i | −0.635452 | − | 1.10064i | ||||
\(145\) | −4.33060e10 | −0.675629 | ||||||||
\(146\) | −2.59640e10 | − | 4.49710e10i | −0.391388 | − | 0.677904i | ||||
\(147\) | −2.24605e11 | + | 1.29676e11i | −3.27215 | + | 1.88918i | ||||
\(148\) | 1.66879e10 | + | 9.63479e9i | 0.235014 | + | 0.135686i | ||||
\(149\) | 1.72500e10 | + | 9.95930e9i | 0.234887 | + | 0.135612i | 0.612824 | − | 0.790219i | \(-0.290033\pi\) |
−0.377938 | + | 0.925831i | \(0.623367\pi\) | |||||||
\(150\) | −9.65757e10 | −1.27178 | ||||||||
\(151\) | − | 1.24213e11i | − | 1.58228i | −0.611634 | − | 0.791141i | \(-0.709487\pi\) | ||
0.611634 | − | 0.791141i | \(-0.290513\pi\) | |||||||
\(152\) | 8.92051e9 | − | 1.54508e10i | 0.109944 | − | 0.190429i | ||||
\(153\) | 1.30794e10 | − | 2.26541e10i | 0.156002 | − | 0.270203i | ||||
\(154\) | 7.44873e10 | + | 1.29016e11i | 0.859961 | + | 1.48950i | ||||
\(155\) | 2.25992e10 | − | 1.30476e10i | 0.252601 | − | 0.145839i | ||||
\(156\) | − | 2.07945e9i | − | 0.0225074i | ||||||
\(157\) | 8.59536e10 | − | 4.96253e10i | 0.901085 | − | 0.520242i | 0.0235332 | − | 0.999723i | \(-0.492508\pi\) |
0.877552 | + | 0.479481i | \(0.159175\pi\) | |||||||
\(158\) | −4.39468e9 | + | 2.53727e9i | −0.0446315 | + | 0.0257680i | ||||
\(159\) | −1.39129e11 | + | 8.03259e10i | −1.36909 | + | 0.790442i | ||||
\(160\) | 6.98409e9 | − | 1.20968e10i | 0.0666055 | − | 0.115364i | ||||
\(161\) | − | 4.35466e10i | − | 0.402555i | ||||||
\(162\) | −2.88353e9 | − | 1.66481e9i | −0.0258434 | − | 0.0149207i | ||||
\(163\) | 1.57169e10 | − | 9.07414e9i | 0.136593 | − | 0.0788619i | −0.430146 | − | 0.902759i | \(-0.641538\pi\) |
0.566739 | + | 0.823897i | \(0.308205\pi\) | |||||||
\(164\) | −3.40976e10 | −0.287412 | ||||||||
\(165\) | −3.75187e10 | − | 6.49844e10i | −0.306781 | − | 0.531360i | ||||
\(166\) | −1.50111e11 | − | 8.66669e10i | −1.19089 | − | 0.687564i | ||||
\(167\) | −3.28341e10 | + | 5.68704e10i | −0.252780 | + | 0.437828i | −0.964290 | − | 0.264848i | \(-0.914678\pi\) |
0.711510 | + | 0.702676i | \(0.248012\pi\) | |||||||
\(168\) | 4.23987e11i | 3.16815i | ||||||||
\(169\) | 6.85489e10 | − | 1.18730e11i | 0.497241 | − | 0.861247i | ||||
\(170\) | −8.85108e9 | −0.0623378 | ||||||||
\(171\) | − | 4.90487e10i | − | 0.335465i | ||||||
\(172\) | 4.41342e9 | − | 2.77624e10i | 0.0293179 | − | 0.184423i | ||||
\(173\) | −6.52892e10 | −0.421319 | −0.210659 | − | 0.977560i | \(-0.567561\pi\) | ||||
−0.210659 | + | 0.977560i | \(0.567561\pi\) | |||||||
\(174\) | − | 4.35893e11i | − | 2.73296i | ||||||
\(175\) | 2.25396e11 | + | 1.30132e11i | 1.37327 | + | 0.792857i | ||||
\(176\) | 1.37411e11 | 0.813689 | ||||||||
\(177\) | 2.54484e10 | + | 1.46926e10i | 0.146485 | + | 0.0845733i | ||||
\(178\) | 8.04556e10 | − | 1.39353e11i | 0.450253 | − | 0.779860i | ||||
\(179\) | −1.27163e11 | + | 7.34177e10i | −0.691984 | + | 0.399517i | −0.804355 | − | 0.594149i | \(-0.797489\pi\) |
0.112371 | + | 0.993666i | \(0.464156\pi\) | |||||||
\(180\) | − | 2.08404e10i | − | 0.110292i | ||||||
\(181\) | −1.54332e11 | − | 2.67310e11i | −0.794442 | − | 1.37601i | −0.923193 | − | 0.384337i | \(-0.874430\pi\) |
0.128750 | − | 0.991677i | \(-0.458903\pi\) | |||||||
\(182\) | 1.22028e10 | − | 2.11359e10i | 0.0611087 | − | 0.105843i | ||||
\(183\) | −2.38203e11 | −1.16062 | ||||||||
\(184\) | −4.31303e10 | − | 2.49013e10i | −0.204500 | − | 0.118068i | ||||
\(185\) | −5.69574e10 | − | 9.86531e10i | −0.262840 | − | 0.455252i | ||||
\(186\) | 1.31330e11 | + | 2.27470e11i | 0.589928 | + | 1.02179i | ||||
\(187\) | 2.28393e10 | + | 3.95589e10i | 0.0998792 | + | 0.172996i | ||||
\(188\) | 2.16406e10 | 0.0921469 | ||||||||
\(189\) | 2.25859e11 | + | 3.91199e11i | 0.936544 | + | 1.62214i | ||||
\(190\) | −1.43727e10 | + | 8.29808e9i | −0.0580457 | + | 0.0335127i | ||||
\(191\) | 3.83328e11 | + | 2.21314e11i | 1.50801 | + | 0.870648i | 0.999957 | + | 0.00932080i | \(0.00296694\pi\) |
0.508050 | + | 0.861327i | \(0.330366\pi\) | |||||||
\(192\) | 4.07148e11 | + | 2.35067e11i | 1.56044 | + | 0.900920i | ||||
\(193\) | −1.85945e11 | −0.694383 | −0.347191 | − | 0.937794i | \(-0.612865\pi\) | ||||
−0.347191 | + | 0.937794i | \(0.612865\pi\) | |||||||
\(194\) | − | 1.46937e11i | − | 0.534717i | ||||||
\(195\) | −6.14647e9 | + | 1.06460e10i | −0.0217998 | + | 0.0377584i | ||||
\(196\) | 6.28903e10 | − | 1.08929e11i | 0.217422 | − | 0.376586i | ||||
\(197\) | −4.31902e10 | − | 7.48077e10i | −0.145564 | − | 0.252125i | 0.784019 | − | 0.620737i | \(-0.213166\pi\) |
−0.929583 | + | 0.368612i | \(0.879833\pi\) | |||||||
\(198\) | 4.05648e11 | − | 2.34201e11i | 1.33298 | − | 0.769596i | ||||
\(199\) | 1.97433e11i | 0.632638i | 0.948653 | + | 0.316319i | \(0.102447\pi\) | ||||
−0.948653 | + | 0.316319i | \(0.897553\pi\) | |||||||
\(200\) | 2.57777e11 | − | 1.48827e11i | 0.805552 | − | 0.465086i | ||||
\(201\) | 1.90368e11 | − | 1.09909e11i | 0.580247 | − | 0.335006i | ||||
\(202\) | −4.69846e11 | + | 2.71265e11i | −1.39701 | + | 0.806562i | ||||
\(203\) | −5.87351e11 | + | 1.01732e12i | −1.70379 | + | 2.95106i | ||||
\(204\) | 2.04566e10i | 0.0579005i | ||||||||
\(205\) | 1.74567e11 | + | 1.00786e11i | 0.482163 | + | 0.278377i | ||||
\(206\) | −3.39089e11 | + | 1.95773e11i | −0.914067 | + | 0.527737i | ||||
\(207\) | −1.36918e11 | −0.360254 | ||||||||
\(208\) | −1.12556e10 | − | 1.94953e10i | −0.0289103 | − | 0.0500741i | ||||
\(209\) | 7.41746e10 | + | 4.28247e10i | 0.186005 | + | 0.107390i | ||||
\(210\) | 1.97202e11 | − | 3.41563e11i | 0.482852 | − | 0.836324i | ||||
\(211\) | − | 4.83325e11i | − | 1.15565i | −0.816160 | − | 0.577825i | \(-0.803901\pi\) | ||
0.816160 | − | 0.577825i | \(-0.196099\pi\) | |||||||
\(212\) | 3.89566e10 | − | 6.74748e10i | 0.0909707 | − | 0.157566i | ||||
\(213\) | −8.81622e11 | −2.01087 | ||||||||
\(214\) | − | 3.77101e11i | − | 0.840212i | ||||||
\(215\) | −1.04656e11 | + | 1.29088e11i | −0.227809 | + | 0.280992i | ||||
\(216\) | 5.16613e11 | 1.09874 | ||||||||
\(217\) | − | 7.07850e11i | − | 1.47110i | ||||||
\(218\) | 3.26341e11 | + | 1.88413e11i | 0.662809 | + | 0.382673i | ||||
\(219\) | 7.09490e11 | 1.40840 | ||||||||
\(220\) | 3.15162e10 | + | 1.81959e10i | 0.0611534 | + | 0.0353069i | ||||
\(221\) | 3.74163e9 | − | 6.48069e9i | 0.00709740 | − | 0.0122931i | ||||
\(222\) | 9.92985e11 | − | 5.73300e11i | 1.84153 | − | 1.06321i | ||||
\(223\) | − | 8.23103e11i | − | 1.49255i | −0.665636 | − | 0.746277i | \(-0.731840\pi\) | ||
0.665636 | − | 0.746277i | \(-0.268160\pi\) | |||||||
\(224\) | −1.89448e11 | − | 3.28133e11i | −0.335930 | − | 0.581848i | ||||
\(225\) | 4.09158e11 | − | 7.08683e11i | 0.709543 | − | 1.22896i | ||||
\(226\) | −2.63473e11 | −0.446884 | ||||||||
\(227\) | 5.71787e11 | + | 3.30121e11i | 0.948648 | + | 0.547702i | 0.892661 | − | 0.450730i | \(-0.148836\pi\) |
0.0559870 | + | 0.998431i | \(0.482169\pi\) | |||||||
\(228\) | 1.91785e10 | + | 3.32181e10i | 0.0311272 | + | 0.0539139i | ||||
\(229\) | 1.53037e11 | + | 2.65067e11i | 0.243007 | + | 0.420900i | 0.961569 | − | 0.274562i | \(-0.0885330\pi\) |
−0.718563 | + | 0.695462i | \(0.755200\pi\) | |||||||
\(230\) | 2.31638e10 | + | 4.01209e10i | 0.0359891 | + | 0.0623349i | ||||
\(231\) | −2.03544e12 | −3.09455 | ||||||||
\(232\) | 6.71731e11 | + | 1.16347e12i | 0.999437 | + | 1.73108i | ||||
\(233\) | 5.83954e11 | − | 3.37146e11i | 0.850353 | − | 0.490952i | −0.0104168 | − | 0.999946i | \(-0.503316\pi\) |
0.860770 | + | 0.508994i | \(0.169983\pi\) | |||||||
\(234\) | −6.64548e10 | − | 3.83677e10i | −0.0947212 | − | 0.0546873i | ||||
\(235\) | −1.10792e11 | − | 6.39659e10i | −0.154586 | − | 0.0892502i | ||||
\(236\) | −1.42513e10 | −0.0194668 | ||||||||
\(237\) | − | 6.93333e10i | − | 0.0927257i | ||||||
\(238\) | −1.20045e11 | + | 2.07925e11i | −0.157203 | + | 0.272283i | ||||
\(239\) | −3.14002e11 | + | 5.43868e11i | −0.402664 | + | 0.697435i | −0.994047 | − | 0.108956i | \(-0.965249\pi\) |
0.591382 | + | 0.806391i | \(0.298582\pi\) | |||||||
\(240\) | −1.81895e11 | − | 3.15051e11i | −0.228436 | − | 0.395662i | ||||
\(241\) | 9.69305e11 | − | 5.59628e11i | 1.19227 | − | 0.688358i | 0.233450 | − | 0.972369i | \(-0.424998\pi\) |
0.958821 | + | 0.284011i | \(0.0916651\pi\) | |||||||
\(242\) | 6.94282e10i | 0.0836486i | ||||||||
\(243\) | −7.13937e11 | + | 4.12192e11i | −0.842614 | + | 0.486483i | ||||
\(244\) | 1.00047e11 | − | 5.77620e10i | 0.115679 | − | 0.0667872i | ||||
\(245\) | −6.43951e11 | + | 3.71785e11i | −0.729495 | + | 0.421174i | ||||
\(246\) | −1.01446e12 | + | 1.75709e12i | −1.12605 | + | 1.95038i | ||||
\(247\) | − | 1.40314e10i | − | 0.0152622i | ||||||
\(248\) | −7.01084e11 | − | 4.04771e11i | −0.747328 | − | 0.431470i | ||||
\(249\) | 2.05097e12 | − | 1.18413e12i | 2.14270 | − | 1.23709i | ||||
\(250\) | −5.95458e11 | −0.609749 | ||||||||
\(251\) | −7.97715e11 | − | 1.38168e12i | −0.800717 | − | 1.38688i | −0.919145 | − | 0.393920i | \(-0.871119\pi\) |
0.118428 | − | 0.992963i | \(-0.462215\pi\) | |||||||
\(252\) | −4.89572e11 | − | 2.82654e11i | −0.481741 | − | 0.278133i | ||||
\(253\) | 1.19544e11 | − | 2.07056e11i | 0.115325 | − | 0.199749i | ||||
\(254\) | 1.41914e12i | 1.34233i | ||||||||
\(255\) | 6.04660e10 | − | 1.04730e11i | 0.0560803 | − | 0.0971339i | ||||
\(256\) | −5.93148e11 | −0.539465 | ||||||||
\(257\) | 2.90973e11i | 0.259530i | 0.991545 | + | 0.129765i | \(0.0414223\pi\) | ||||
−0.991545 | + | 0.129765i | \(0.958578\pi\) | |||||||
\(258\) | −1.29933e12 | − | 1.05341e12i | −1.13663 | − | 0.921504i | ||||
\(259\) | −3.09001e12 | −2.65131 | ||||||||
\(260\) | − | 5.96185e9i | − | 0.00501781i | ||||||
\(261\) | 3.19863e12 | + | 1.84673e12i | 2.64096 | + | 1.52476i | ||||
\(262\) | 1.28933e12 | 1.04438 | ||||||||
\(263\) | 5.97399e11 | + | 3.44909e11i | 0.474773 | + | 0.274110i | 0.718236 | − | 0.695800i | \(-0.244950\pi\) |
−0.243463 | + | 0.969910i | \(0.578283\pi\) | |||||||
\(264\) | −1.16393e12 | + | 2.01598e12i | −0.907623 | + | 1.57205i | ||||
\(265\) | −3.98887e11 | + | 2.30297e11i | −0.305225 | + | 0.176222i | ||||
\(266\) | 4.50180e11i | 0.338048i | ||||||||
\(267\) | 1.09926e12 | + | 1.90398e12i | 0.810112 | + | 1.40315i | ||||
\(268\) | −5.33037e10 | + | 9.23248e10i | −0.0385553 | + | 0.0667797i | ||||
\(269\) | −2.69408e12 | −1.91271 | −0.956354 | − | 0.292210i | \(-0.905609\pi\) | ||||
−0.956354 | + | 0.292210i | \(0.905609\pi\) | |||||||
\(270\) | −4.16182e11 | − | 2.40283e11i | −0.290045 | − | 0.167457i | ||||
\(271\) | 1.21722e11 | + | 2.10829e11i | 0.0832768 | + | 0.144240i | 0.904656 | − | 0.426143i | \(-0.140128\pi\) |
−0.821379 | + | 0.570383i | \(0.806795\pi\) | |||||||
\(272\) | 1.10727e11 | + | 1.91785e11i | 0.0743722 | + | 0.128816i | ||||
\(273\) | 1.66727e11 | + | 2.88779e11i | 0.109949 | + | 0.190437i | ||||
\(274\) | −1.32808e12 | −0.859949 | ||||||||
\(275\) | 7.14477e11 | + | 1.23751e12i | 0.454281 | + | 0.786838i | ||||
\(276\) | 9.27272e10 | − | 5.35361e10i | 0.0578978 | − | 0.0334273i | ||||
\(277\) | −1.16321e12 | − | 6.71578e11i | −0.713277 | − | 0.411811i | 0.0989961 | − | 0.995088i | \(-0.468437\pi\) |
−0.812273 | + | 0.583277i | \(0.801770\pi\) | |||||||
\(278\) | −4.60391e11 | − | 2.65807e11i | −0.277270 | − | 0.160082i | ||||
\(279\) | −2.22560e12 | −1.31652 | ||||||||
\(280\) | 1.21559e12i | 0.706310i | ||||||||
\(281\) | 1.02661e12 | − | 1.77815e12i | 0.585971 | − | 1.01493i | −0.408783 | − | 0.912632i | \(-0.634047\pi\) |
0.994754 | − | 0.102299i | \(-0.0326199\pi\) | |||||||
\(282\) | 6.43843e11 | − | 1.11517e12i | 0.361023 | − | 0.625310i | ||||
\(283\) | −2.60669e11 | − | 4.51492e11i | −0.143601 | − | 0.248724i | 0.785249 | − | 0.619180i | \(-0.212535\pi\) |
−0.928850 | + | 0.370456i | \(0.879202\pi\) | |||||||
\(284\) | 3.70287e11 | − | 2.13785e11i | 0.200423 | − | 0.115714i | ||||
\(285\) | − | 2.26753e11i | − | 0.120595i | ||||||
\(286\) | 1.16044e11 | − | 6.69981e10i | 0.0606447 | − | 0.0350133i | ||||
\(287\) | 4.73524e12 | − | 2.73389e12i | 2.43183 | − | 1.40402i | ||||
\(288\) | −1.03171e12 | + | 5.95656e11i | −0.520707 | + | 0.300630i | ||||
\(289\) | 9.71189e11 | − | 1.68215e12i | 0.481742 | − | 0.834401i | ||||
\(290\) | − | 1.24972e12i | − | 0.609289i | ||||||
\(291\) | 1.73863e12 | + | 1.00380e12i | 0.833188 | + | 0.481042i | ||||
\(292\) | −2.97990e11 | + | 1.72045e11i | −0.140374 | + | 0.0810452i | ||||
\(293\) | 3.75739e12 | 1.73999 | 0.869997 | − | 0.493057i | \(-0.164121\pi\) | ||||
0.869997 | + | 0.493057i | \(0.164121\pi\) | |||||||
\(294\) | −3.74217e12 | − | 6.48163e12i | −1.70368 | − | 2.95085i | ||||
\(295\) | 7.29615e10 | + | 4.21243e10i | 0.0326575 | + | 0.0188548i | ||||
\(296\) | −1.76696e12 | + | 3.06047e12i | −0.777622 | + | 1.34688i | ||||
\(297\) | 2.48010e12i | 1.07322i | ||||||||
\(298\) | −2.87405e11 | + | 4.97800e11i | −0.122296 | + | 0.211823i | ||||
\(299\) | −3.91683e10 | −0.0163900 | ||||||||
\(300\) | 6.39938e11i | 0.263349i | ||||||||
\(301\) | 1.61304e12 | + | 4.20932e12i | 0.652850 | + | 1.70365i | ||||
\(302\) | 3.58454e12 | 1.42692 | ||||||||
\(303\) | − | 7.41258e12i | − | 2.90239i | ||||||
\(304\) | 3.59606e11 | + | 2.07619e11i | 0.138503 | + | 0.0799647i | ||||
\(305\) | −6.82936e11 | −0.258750 | ||||||||
\(306\) | 6.53751e11 | + | 3.77443e11i | 0.243672 | + | 0.140684i | ||||
\(307\) | 1.49589e12 | − | 2.59095e12i | 0.548538 | − | 0.950096i | −0.449837 | − | 0.893111i | \(-0.648518\pi\) |
0.998375 | − | 0.0569855i | \(-0.0181489\pi\) | |||||||
\(308\) | 8.54895e11 | − | 4.93574e11i | 0.308432 | − | 0.178073i | ||||
\(309\) | − | 5.34969e12i | − | 1.89905i | ||||||
\(310\) | 3.76528e11 | + | 6.52166e11i | 0.131519 | + | 0.227798i | ||||
\(311\) | −1.17477e12 | + | 2.03476e12i | −0.403786 | + | 0.699377i | −0.994179 | − | 0.107738i | \(-0.965639\pi\) |
0.590394 | + | 0.807115i | \(0.298972\pi\) | |||||||
\(312\) | 3.81358e11 | 0.128991 | ||||||||
\(313\) | −2.57247e12 | − | 1.48521e12i | −0.856305 | − | 0.494388i | 0.00646847 | − | 0.999979i | \(-0.497941\pi\) |
−0.862773 | + | 0.505591i | \(0.831274\pi\) | |||||||
\(314\) | 1.43208e12 | + | 2.48044e12i | 0.469159 | + | 0.812608i | ||||
\(315\) | 1.67095e12 | + | 2.89417e12i | 0.538780 | + | 0.933194i | ||||
\(316\) | 1.68127e10 | + | 2.91204e10i | 0.00533582 | + | 0.00924191i | ||||
\(317\) | 1.97118e12 | 0.615787 | 0.307894 | − | 0.951421i | \(-0.400376\pi\) | ||||
0.307894 | + | 0.951421i | \(0.400376\pi\) | |||||||
\(318\) | −2.31804e12 | − | 4.01496e12i | −0.712829 | − | 1.23466i | ||||
\(319\) | −5.58549e12 | + | 3.22478e12i | −1.69086 | + | 0.976218i | ||||
\(320\) | 1.16731e12 | + | 6.73946e11i | 0.347885 | + | 0.200852i | ||||
\(321\) | 4.46204e12 | + | 2.57616e12i | 1.30921 | + | 0.755871i | ||||
\(322\) | 1.25666e12 | 0.363028 | ||||||||
\(323\) | 1.38034e11i | 0.0392622i | ||||||||
\(324\) | −1.10315e10 | + | 1.91071e10i | −0.00308965 | + | 0.00535143i | ||||
\(325\) | 1.17048e11 | − | 2.02734e11i | 0.0322811 | − | 0.0559126i | ||||
\(326\) | 2.61861e11 | + | 4.53556e11i | 0.0711184 | + | 0.123181i | ||||
\(327\) | −4.45878e12 | + | 2.57428e12i | −1.19255 | + | 0.688520i | ||||
\(328\) | − | 6.25330e12i | − | 1.64718i | ||||||
\(329\) | −3.00530e12 | + | 1.73511e12i | −0.779666 | + | 0.450140i | ||||
\(330\) | 1.87531e12 | − | 1.08271e12i | 0.479186 | − | 0.276658i | ||||
\(331\) | 6.41714e12 | − | 3.70494e12i | 1.61511 | − | 0.932484i | 0.626948 | − | 0.779061i | \(-0.284304\pi\) |
0.988161 | − | 0.153423i | \(-0.0490297\pi\) | |||||||
\(332\) | −5.74279e11 | + | 9.94681e11i | −0.142375 | + | 0.246600i | ||||
\(333\) | 9.71551e12i | 2.37271i | ||||||||
\(334\) | −1.64116e12 | − | 9.47525e11i | −0.394838 | − | 0.227960i | ||||
\(335\) | 5.45791e11 | − | 3.15113e11i | 0.129361 | − | 0.0746865i | ||||
\(336\) | −9.86800e12 | −2.30427 | ||||||||
\(337\) | −7.57813e11 | − | 1.31257e12i | −0.174346 | − | 0.301976i | 0.765589 | − | 0.643330i | \(-0.222448\pi\) |
−0.939935 | + | 0.341354i | \(0.889114\pi\) | |||||||
\(338\) | 3.42631e12 | + | 1.97818e12i | 0.776681 | + | 0.448417i | ||||
\(339\) | 1.79991e12 | − | 3.11754e12i | 0.402025 | − | 0.696328i | ||||
\(340\) | 5.86498e10i | 0.0129084i | ||||||||
\(341\) | 1.94319e12 | − | 3.36570e12i | 0.421446 | − | 0.729967i | ||||
\(342\) | 1.41544e12 | 0.302526 | ||||||||
\(343\) | 1.15081e13i | 2.42400i | ||||||||
\(344\) | 5.09147e12 | + | 8.09396e11i | 1.05694 | + | 0.168023i | ||||
\(345\) | −6.32973e11 | −0.129506 | ||||||||
\(346\) | − | 1.88411e12i | − | 0.379949i | ||||||
\(347\) | 4.76499e12 | + | 2.75107e12i | 0.947141 | + | 0.546832i | 0.892192 | − | 0.451657i | \(-0.149167\pi\) |
0.0549493 | + | 0.998489i | \(0.482500\pi\) | |||||||
\(348\) | −2.88835e12 | −0.565918 | ||||||||
\(349\) | 3.90702e12 | + | 2.25572e12i | 0.754604 | + | 0.435671i | 0.827355 | − | 0.561680i | \(-0.189845\pi\) |
−0.0727513 | + | 0.997350i | \(0.523178\pi\) | |||||||
\(350\) | −3.75535e12 | + | 6.50445e12i | −0.715006 | + | 1.23843i | ||||
\(351\) | 3.51867e11 | − | 2.03150e11i | 0.0660454 | − | 0.0381313i | ||||
\(352\) | − | 2.08028e12i | − | 0.384954i | ||||||
\(353\) | 1.93586e12 | + | 3.35301e12i | 0.353183 | + | 0.611732i | 0.986805 | − | 0.161911i | \(-0.0517658\pi\) |
−0.633622 | + | 0.773643i | \(0.718433\pi\) | |||||||
\(354\) | −4.23999e11 | + | 7.34387e11i | −0.0762690 | + | 0.132102i | ||||
\(355\) | −2.52764e12 | −0.448306 | ||||||||
\(356\) | −9.23394e11 | − | 5.33122e11i | −0.161487 | − | 0.0932344i | ||||
\(357\) | −1.64018e12 | − | 2.84087e12i | −0.282845 | − | 0.489903i | ||||
\(358\) | −2.11868e12 | − | 3.66966e12i | −0.360289 | − | 0.624038i | ||||
\(359\) | 2.96088e11 | + | 5.12840e11i | 0.0496534 | + | 0.0860022i | 0.889784 | − | 0.456382i | \(-0.150855\pi\) |
−0.840130 | + | 0.542384i | \(0.817522\pi\) | |||||||
\(360\) | 3.82201e12 | 0.632090 | ||||||||
\(361\) | −2.93612e12 | − | 5.08551e12i | −0.478893 | − | 0.829466i | ||||
\(362\) | 7.71402e12 | − | 4.45369e12i | 1.24090 | − | 0.716436i | ||||
\(363\) | −8.21507e11 | − | 4.74297e11i | −0.130340 | − | 0.0752519i | ||||
\(364\) | −1.40052e11 | − | 8.08593e10i | −0.0219171 | − | 0.0126539i | ||||
\(365\) | 2.03413e12 | 0.313990 | ||||||||
\(366\) | − | 6.87404e12i | − | 1.04666i | ||||||
\(367\) | 2.40915e12 | − | 4.17277e12i | 0.361854 | − | 0.626750i | −0.626412 | − | 0.779492i | \(-0.715477\pi\) |
0.988266 | + | 0.152742i | \(0.0488105\pi\) | |||||||
\(368\) | 5.79560e11 | − | 1.00383e12i | 0.0858736 | − | 0.148737i | ||||
\(369\) | −8.59582e12 | − | 1.48884e13i | −1.25648 | − | 2.17629i | ||||
\(370\) | 2.84692e12 | − | 1.64367e12i | 0.410551 | − | 0.237032i | ||||
\(371\) | 1.24939e13i | 1.77758i | ||||||||
\(372\) | 1.50728e12 | − | 8.70230e11i | 0.211583 | − | 0.122157i | ||||
\(373\) | −6.36950e12 | + | 3.67743e12i | −0.882187 | + | 0.509331i | −0.871379 | − | 0.490610i | \(-0.836774\pi\) |
−0.0108084 | + | 0.999942i | \(0.503440\pi\) | |||||||
\(374\) | −1.14159e12 | + | 6.59095e11i | −0.156009 | + | 0.0900721i | ||||
\(375\) | 4.06786e12 | − | 7.04575e12i | 0.548542 | − | 0.950103i | ||||
\(376\) | 3.96876e12i | 0.528100i | ||||||||
\(377\) | 9.15037e11 | + | 5.28297e11i | 0.120152 | + | 0.0693699i | ||||
\(378\) | −1.12892e13 | + | 6.51782e12i | −1.46286 | + | 0.844585i | ||||
\(379\) | −1.00278e12 | −0.128236 | −0.0641180 | − | 0.997942i | \(-0.520423\pi\) | ||||
−0.0641180 | + | 0.997942i | \(0.520423\pi\) | |||||||
\(380\) | 5.49854e10 | + | 9.52375e10i | 0.00693952 | + | 0.0120196i | ||||
\(381\) | −1.67920e13 | − | 9.69485e12i | −2.09159 | − | 1.20758i | ||||
\(382\) | −6.38667e12 | + | 1.10620e13i | −0.785159 | + | 1.35994i | ||||
\(383\) | − | 6.17545e12i | − | 0.749333i | −0.927160 | − | 0.374666i | \(-0.877757\pi\) | ||
0.927160 | − | 0.374666i | \(-0.122243\pi\) | |||||||
\(384\) | −4.28909e12 | + | 7.42892e12i | −0.513699 | + | 0.889754i | ||||
\(385\) | −5.83567e12 | −0.689901 | ||||||||
\(386\) | − | 5.36600e12i | − | 0.626201i | ||||||
\(387\) | 1.32348e13 | − | 5.07168e12i | 1.52462 | − | 0.584248i | ||||
\(388\) | −9.73649e11 | −0.110725 | ||||||||
\(389\) | 5.05894e12i | 0.567952i | 0.958831 | + | 0.283976i | \(0.0916536\pi\) | ||||
−0.958831 | + | 0.283976i | \(0.908346\pi\) | |||||||
\(390\) | −3.07221e11 | − | 1.77374e11i | −0.0340509 | − | 0.0196593i | ||||
\(391\) | 3.85319e11 | 0.0421635 | ||||||||
\(392\) | 1.99770e13 | + | 1.15337e13i | 2.15824 | + | 1.24606i | ||||
\(393\) | −8.80802e12 | + | 1.52559e13i | −0.939541 | + | 1.62733i | ||||
\(394\) | 2.15879e12 | − | 1.24638e12i | 0.227368 | − | 0.131271i | ||||
\(395\) | − | 1.98781e11i | − | 0.0206723i | ||||||
\(396\) | −1.55188e12 | − | 2.68794e12i | −0.159361 | − | 0.276022i | ||||
\(397\) | −5.93473e12 | + | 1.02793e13i | −0.601795 | + | 1.04234i | 0.390754 | + | 0.920495i | \(0.372214\pi\) |
−0.992549 | + | 0.121844i | \(0.961119\pi\) | |||||||
\(398\) | −5.69751e12 | −0.570519 | ||||||||
\(399\) | −5.32675e12 | − | 3.07540e12i | −0.526742 | − | 0.304114i | ||||
\(400\) | 3.46386e12 | + | 5.99957e12i | 0.338267 | + | 0.585896i | ||||
\(401\) | 9.53042e11 | + | 1.65072e12i | 0.0919158 | + | 0.159203i | 0.908317 | − | 0.418282i | \(-0.137368\pi\) |
−0.816401 | + | 0.577485i | \(0.804034\pi\) | |||||||
\(402\) | 3.17174e12 | + | 5.49362e12i | 0.302112 | + | 0.523273i | ||||
\(403\) | −6.36681e11 | −0.0598958 | ||||||||
\(404\) | 1.79748e12 | + | 3.11333e12i | 0.167016 | + | 0.289280i | ||||
\(405\) | 1.12954e11 | − | 6.52142e10i | 0.0103664 | − | 0.00598504i | ||||
\(406\) | −2.93578e13 | − | 1.69497e13i | −2.66129 | − | 1.53650i | ||||
\(407\) | −1.46924e13 | − | 8.48266e12i | −1.31559 | − | 0.759557i | ||||
\(408\) | −3.75161e12 | −0.331831 | ||||||||
\(409\) | − | 8.68727e12i | − | 0.759043i | −0.925183 | − | 0.379522i | \(-0.876089\pi\) | ||
0.925183 | − | 0.379522i | \(-0.123911\pi\) | |||||||
\(410\) | −2.90849e12 | + | 5.03765e12i | −0.251043 | + | 0.434819i | ||||
\(411\) | 9.07278e12 | − | 1.57145e13i | 0.773626 | − | 1.33996i | ||||
\(412\) | 1.29725e12 | + | 2.24690e12i | 0.109279 | + | 0.189277i | ||||
\(413\) | 1.97912e12 | − | 1.14265e12i | 0.164711 | − | 0.0950959i | ||||
\(414\) | − | 3.95117e12i | − | 0.324880i | ||||||
\(415\) | 5.88020e12 | − | 3.39493e12i | 0.477696 | − | 0.275798i | ||||
\(416\) | −2.95141e11 | + | 1.70400e11i | −0.0236899 | + | 0.0136774i | ||||
\(417\) | 6.29030e12 | − | 3.63171e12i | 0.498874 | − | 0.288025i | ||||
\(418\) | −1.23583e12 | + | 2.14052e12i | −0.0968452 | + | 0.167741i | ||||
\(419\) | − | 6.39062e12i | − | 0.494849i | −0.968907 | − | 0.247425i | \(-0.920416\pi\) | ||
0.968907 | − | 0.247425i | \(-0.0795843\pi\) | |||||||
\(420\) | −2.26329e12 | − | 1.30671e12i | −0.173179 | − | 0.0999848i | ||||
\(421\) | −4.25742e12 | + | 2.45802e12i | −0.321911 | + | 0.185855i | −0.652244 | − | 0.758009i | \(-0.726172\pi\) |
0.330333 | + | 0.943864i | \(0.392839\pi\) | |||||||
\(422\) | 1.39477e13 | 1.04218 | ||||||||
\(423\) | 5.45549e12 | + | 9.44918e12i | 0.402839 | + | 0.697738i | ||||
\(424\) | 1.23745e13 | + | 7.14440e12i | 0.903020 | + | 0.521359i | ||||
\(425\) | −1.15147e12 | + | 1.99440e12i | −0.0830436 | + | 0.143836i | ||||
\(426\) | − | 2.54418e13i | − | 1.81342i | ||||||
\(427\) | −9.26253e12 | + | 1.60432e13i | −0.652514 | + | 1.13019i | ||||
\(428\) | −2.49878e12 | −0.173984 | ||||||||
\(429\) | 1.83079e12i | 0.125994i | ||||||||
\(430\) | −3.72522e12 | − | 3.02015e12i | −0.253402 | − | 0.205441i | ||||
\(431\) | −1.32516e13 | −0.891010 | −0.445505 | − | 0.895279i | \(-0.646976\pi\) | ||||
−0.445505 | + | 0.895279i | \(0.646976\pi\) | |||||||
\(432\) | 1.20238e13i | 0.799140i | ||||||||
\(433\) | 1.12992e13 | + | 6.52362e12i | 0.742352 | + | 0.428597i | 0.822924 | − | 0.568152i | \(-0.192341\pi\) |
−0.0805720 | + | 0.996749i | \(0.525675\pi\) | |||||||
\(434\) | 2.04271e13 | 1.32665 | ||||||||
\(435\) | 1.47873e13 | + | 8.53745e12i | 0.949386 | + | 0.548128i | ||||
\(436\) | 1.24848e12 | − | 2.16242e12i | 0.0792406 | − | 0.137249i | ||||
\(437\) | 6.25694e11 | − | 3.61244e11i | 0.0392604 | − | 0.0226670i | ||||
\(438\) | 2.04744e13i | 1.27011i | ||||||||
\(439\) | −3.03983e12 | − | 5.26515e12i | −0.186435 | − | 0.322915i | 0.757624 | − | 0.652691i | \(-0.226360\pi\) |
−0.944059 | + | 0.329776i | \(0.893027\pi\) | |||||||
\(440\) | −3.33702e12 | + | 5.77988e12i | −0.202346 | + | 0.350474i | ||||
\(441\) | 6.34173e13 | 3.80202 | ||||||||
\(442\) | 1.87019e11 | + | 1.07976e11i | 0.0110860 | + | 0.00640051i | ||||
\(443\) | −1.38177e13 | − | 2.39330e13i | −0.809875 | − | 1.40275i | −0.912950 | − | 0.408072i | \(-0.866201\pi\) |
0.103075 | − | 0.994674i | \(-0.467132\pi\) | |||||||
\(444\) | −3.79885e12 | − | 6.57980e12i | −0.220159 | − | 0.381327i | ||||
\(445\) | 3.15162e12 | + | 5.45877e12i | 0.180607 | + | 0.312820i | ||||
\(446\) | 2.37530e13 | 1.34600 | ||||||||
\(447\) | −3.92680e12 | − | 6.80142e12i | −0.220040 | − | 0.381120i | ||||
\(448\) | 3.16640e13 | − | 1.82812e13i | 1.75459 | − | 1.01301i | ||||
\(449\) | −2.90642e12 | − | 1.67802e12i | −0.159268 | − | 0.0919532i | 0.418248 | − | 0.908333i | \(-0.362644\pi\) |
−0.577515 | + | 0.816380i | \(0.695978\pi\) | |||||||
\(450\) | 2.04511e13 | + | 1.18075e13i | 1.10829 | + | 0.639873i | ||||
\(451\) | 3.00202e13 | 1.60891 | ||||||||
\(452\) | 1.74585e12i | 0.0925369i | ||||||||
\(453\) | −2.44877e13 | + | 4.24140e13i | −1.28368 | + | 2.22340i | ||||
\(454\) | −9.52661e12 | + | 1.65006e13i | −0.493923 | + | 0.855500i | ||||
\(455\) | 4.78011e11 | + | 8.27940e11i | 0.0245121 | + | 0.0424563i | ||||
\(456\) | −6.09200e12 | + | 3.51722e12i | −0.308984 | + | 0.178392i | ||||
\(457\) | − | 2.55101e13i | − | 1.27977i | −0.768472 | − | 0.639884i | \(-0.778982\pi\) | ||
0.768472 | − | 0.639884i | \(-0.221018\pi\) | |||||||
\(458\) | −7.64929e12 | + | 4.41632e12i | −0.379571 | + | 0.219146i | ||||
\(459\) | −3.46149e12 | + | 1.99849e12i | −0.169903 | + | 0.0980934i | ||||
\(460\) | 2.65852e11 | − | 1.53490e11i | 0.0129078 | − | 0.00745231i | ||||
\(461\) | 1.22823e13 | − | 2.12735e13i | 0.589893 | − | 1.02173i | −0.404352 | − | 0.914603i | \(-0.632503\pi\) |
0.994246 | − | 0.107122i | \(-0.0341636\pi\) | |||||||
\(462\) | − | 5.87384e13i | − | 2.79070i | ||||||
\(463\) | −3.47412e13 | − | 2.00578e13i | −1.63283 | − | 0.942712i | −0.983216 | − | 0.182445i | \(-0.941599\pi\) |
−0.649610 | − | 0.760268i | \(-0.725068\pi\) | |||||||
\(464\) | −2.70790e13 | + | 1.56341e13i | −1.25905 | + | 0.726913i | ||||
\(465\) | −1.02890e13 | −0.473268 | ||||||||
\(466\) | 9.72934e12 | + | 1.68517e13i | 0.442745 | + | 0.766857i | ||||
\(467\) | 8.46691e12 | + | 4.88837e12i | 0.381189 | + | 0.220080i | 0.678336 | − | 0.734752i | \(-0.262702\pi\) |
−0.297146 | + | 0.954832i | \(0.596035\pi\) | |||||||
\(468\) | −2.54235e11 | + | 4.40349e11i | −0.0113242 | + | 0.0196141i | ||||
\(469\) | − | 1.70952e13i | − | 0.753374i | ||||||
\(470\) | 1.84592e12 | − | 3.19723e12i | 0.0804867 | − | 0.139407i | ||||
\(471\) | −3.91330e13 | −1.68826 | ||||||||
\(472\) | − | 2.61360e12i | − | 0.111565i | ||||||
\(473\) | −3.88567e12 | + | 2.44426e13i | −0.164119 | + | 1.03239i | ||||
\(474\) | 2.00081e12 | 0.0836209 | ||||||||
\(475\) | 4.31810e12i | 0.178576i | ||||||||
\(476\) | 1.37777e12 | + | 7.95455e11i | 0.0563821 | + | 0.0325522i | ||||
\(477\) | 3.92830e13 | 1.59079 | ||||||||
\(478\) | −1.56949e13 | − | 9.06145e12i | −0.628954 | − | 0.363127i | ||||
\(479\) | 2.70430e11 | − | 4.68399e11i | 0.0107245 | − | 0.0185754i | −0.860613 | − | 0.509259i | \(-0.829920\pi\) |
0.871338 | + | 0.490684i | \(0.163253\pi\) | |||||||
\(480\) | −4.76958e12 | + | 2.75372e12i | −0.187186 | + | 0.108072i | ||||
\(481\) | 2.77933e12i | 0.107948i | ||||||||
\(482\) | 1.61497e13 | + | 2.79721e13i | 0.620768 | + | 1.07520i | ||||
\(483\) | −8.58488e12 | + | 1.48694e13i | −0.326587 | + | 0.565665i | ||||
\(484\) | 4.60051e11 | 0.0173212 | ||||||||
\(485\) | 4.98473e12 | + | 2.87793e12i | 0.185752 | + | 0.107244i | ||||
\(486\) | −1.18950e13 | − | 2.06027e13i | −0.438716 | − | 0.759878i | ||||
\(487\) | −2.62916e13 | − | 4.55384e13i | −0.959781 | − | 1.66239i | −0.723028 | − | 0.690819i | \(-0.757250\pi\) |
−0.236753 | − | 0.971570i | \(-0.576083\pi\) | |||||||
\(488\) | 1.05932e13 | + | 1.83480e13i | 0.382761 | + | 0.662962i | ||||
\(489\) | −7.15559e12 | −0.255918 | ||||||||
\(490\) | −1.07289e13 | − | 1.85831e13i | −0.379819 | − | 0.657866i | ||||
\(491\) | −1.26570e13 | + | 7.30755e12i | −0.443532 | + | 0.256073i | −0.705095 | − | 0.709113i | \(-0.749096\pi\) |
0.261563 | + | 0.965186i | \(0.415762\pi\) | |||||||
\(492\) | 1.16430e13 | + | 6.72208e12i | 0.403868 | + | 0.233173i | ||||
\(493\) | −9.00169e12 | − | 5.19713e12i | −0.309093 | − | 0.178455i | ||||
\(494\) | 4.04918e11 | 0.0137636 | ||||||||
\(495\) | 1.83483e13i | 0.617406i | ||||||||
\(496\) | 9.42076e12 | − | 1.63172e13i | 0.313818 | − | 0.543548i | ||||
\(497\) | −3.42819e13 | + | 5.93780e13i | −1.13053 | + | 1.95814i | ||||
\(498\) | 3.41714e13 | + | 5.91867e13i | 1.11562 | + | 1.93231i | ||||
\(499\) | −4.23819e13 | + | 2.44692e13i | −1.36986 | + | 0.790891i | −0.990910 | − | 0.134525i | \(-0.957049\pi\) |
−0.378953 | + | 0.925416i | \(0.623716\pi\) | |||||||
\(500\) | 3.94568e12i | 0.126262i | ||||||||
\(501\) | 2.24231e13 | − | 1.29460e13i | 0.710407 | − | 0.410154i | ||||
\(502\) | 3.98725e13 | − | 2.30204e13i | 1.25070 | − | 0.722094i | ||||
\(503\) | −1.29741e13 | + | 7.49058e12i | −0.402936 | + | 0.232635i | −0.687750 | − | 0.725947i | \(-0.741402\pi\) |
0.284814 | + | 0.958583i | \(0.408068\pi\) | |||||||
\(504\) | 5.18371e13 | − | 8.97845e13i | 1.59400 | − | 2.76089i | ||||
\(505\) | − | 2.12521e13i | − | 0.647062i | ||||||
\(506\) | 5.97520e12 | + | 3.44978e12i | 0.180136 | + | 0.104001i | ||||
\(507\) | −4.68135e13 | + | 2.70278e13i | −1.39743 | + | 0.806809i | ||||
\(508\) | 9.40365e12 | 0.277957 | ||||||||
\(509\) | 1.97585e13 | + | 3.42227e13i | 0.578316 | + | 1.00167i | 0.995673 | + | 0.0929296i | \(0.0296232\pi\) |
−0.417357 | + | 0.908743i | \(0.637043\pi\) | |||||||
\(510\) | 3.02229e12 | + | 1.74492e12i | 0.0875963 | + | 0.0505738i | ||||
\(511\) | 2.75886e13 | − | 4.77848e13i | 0.791816 | − | 1.37147i | ||||
\(512\) | − | 3.93955e13i | − | 1.11969i | ||||||
\(513\) | −3.74726e12 | + | 6.49045e12i | −0.105470 | + | 0.182679i | ||||
\(514\) | −8.39688e12 | −0.234046 | ||||||||
\(515\) | − | 1.53378e13i | − | 0.423375i | ||||||
\(516\) | −6.98016e12 | + | 8.60971e12i | −0.190817 | + | 0.235364i | ||||
\(517\) | −1.90529e13 | −0.515831 | ||||||||
\(518\) | − | 8.91712e13i | − | 2.39098i | ||||||
\(519\) | 2.22937e13 | + | 1.28713e13i | 0.592032 | + | 0.341810i | ||||
\(520\) | 1.09337e12 | 0.0287574 | ||||||||
\(521\) | −5.19189e12 | − | 2.99754e12i | −0.135250 | − | 0.0780865i | 0.430848 | − | 0.902424i | \(-0.358214\pi\) |
−0.566098 | + | 0.824338i | \(0.691548\pi\) | |||||||
\(522\) | −5.32928e13 | + | 9.23059e13i | −1.37504 | + | 2.38164i | ||||
\(523\) | −1.26426e13 | + | 7.29920e12i | −0.323093 | + | 0.186538i | −0.652770 | − | 0.757556i | \(-0.726393\pi\) |
0.329677 | + | 0.944094i | \(0.393060\pi\) | |||||||
\(524\) | − | 8.54345e12i | − | 0.216260i | ||||||
\(525\) | −5.13092e13 | − | 8.88701e13i | −1.28647 | − | 2.22823i | ||||
\(526\) | −9.95335e12 | + | 1.72397e13i | −0.247195 | + | 0.428155i | ||||
\(527\) | 6.26336e12 | 0.154083 | ||||||||
\(528\) | −4.69205e13 | − | 2.70896e13i | −1.14339 | − | 0.660134i | ||||
\(529\) | 1.97049e13 | + | 3.41298e13i | 0.475658 | + | 0.823864i | ||||
\(530\) | −6.64590e12 | − | 1.15110e13i | −0.158919 | − | 0.275255i | ||||
\(531\) | −3.59268e12 | − | 6.22270e12i | −0.0851031 | − | 0.147403i | ||||
\(532\) | 2.98302e12 | 0.0700001 | ||||||||
\(533\) | −2.45902e12 | − | 4.25914e12i | −0.0571644 | − | 0.0990116i | ||||
\(534\) | −5.49448e13 | + | 3.17224e13i | −1.26538 | + | 0.730567i | ||||
\(535\) | 1.27928e13 | + | 7.38594e12i | 0.291876 | + | 0.168514i | ||||
\(536\) | −1.69318e13 | − | 9.77559e12i | −0.382719 | − | 0.220963i | ||||
\(537\) | 5.78949e13 | 1.29649 | ||||||||
\(538\) | − | 7.77455e13i | − | 1.72490i | ||||||
\(539\) | −5.53699e13 | + | 9.59035e13i | −1.21711 | + | 2.10810i | ||||
\(540\) | −1.59218e12 | + | 2.75774e12i | −0.0346756 | + | 0.0600599i | ||||
\(541\) | 3.63118e13 | + | 6.28939e13i | 0.783541 | + | 1.35713i | 0.929867 | + | 0.367896i | \(0.119922\pi\) |
−0.146326 | + | 0.989236i | \(0.546745\pi\) | |||||||
\(542\) | −6.08410e12 | + | 3.51266e12i | −0.130077 | + | 0.0750999i | ||||
\(543\) | 1.21701e14i | 2.57808i | ||||||||
\(544\) | 2.90346e12 | − | 1.67631e12i | 0.0609426 | − | 0.0351852i | ||||
\(545\) | −1.27835e13 | + | 7.38055e12i | −0.265868 | + | 0.153499i | ||||
\(546\) | −8.33356e12 | + | 4.81138e12i | −0.171738 | + | 0.0991532i | ||||
\(547\) | 2.23772e13 | − | 3.87585e13i | 0.456951 | − | 0.791462i | −0.541847 | − | 0.840477i | \(-0.682275\pi\) |
0.998798 | + | 0.0490150i | \(0.0156082\pi\) | |||||||
\(548\) | 8.80026e12i | 0.178071i | ||||||||
\(549\) | 5.04425e13 | + | 2.91230e13i | 1.01143 | + | 0.583948i | ||||
\(550\) | −3.57120e13 | + | 2.06183e13i | −0.709578 | + | 0.409675i | ||||
\(551\) | −1.94897e13 | −0.383748 | ||||||||
\(552\) | 9.81820e12 | + | 1.70056e13i | 0.191574 | + | 0.331816i | ||||
\(553\) | −4.66965e12 | − | 2.69603e12i | −0.0902940 | − | 0.0521313i | ||||
\(554\) | 1.93803e13 | − | 3.35677e13i | 0.371375 | − | 0.643240i | ||||
\(555\) | 4.49149e13i | 0.852953i | ||||||||
\(556\) | −1.76131e12 | + | 3.05068e12i | −0.0331483 | + | 0.0574146i | ||||
\(557\) | 3.14009e13 | 0.585688 | 0.292844 | − | 0.956160i | \(-0.405398\pi\) | ||||
0.292844 | + | 0.956160i | \(0.405398\pi\) | |||||||
\(558\) | − | 6.42262e13i | − | 1.18725i | ||||||
\(559\) | 3.78610e12 | − | 1.45086e12i | 0.0693638 | − | 0.0265807i | ||||
\(560\) | −2.82919e13 | −0.513715 | ||||||||
\(561\) | − | 1.80104e13i | − | 0.324122i | ||||||
\(562\) | 5.13137e13 | + | 2.96260e13i | 0.915275 | + | 0.528434i | ||||
\(563\) | 8.46129e12 | 0.149587 | 0.0747936 | − | 0.997199i | \(-0.476170\pi\) | ||||
0.0747936 | + | 0.997199i | \(0.476170\pi\) | |||||||
\(564\) | −7.38943e12 | − | 4.26629e12i | −0.129484 | − | 0.0747575i | ||||
\(565\) | 5.16042e12 | − | 8.93811e12i | 0.0896278 | − | 0.155240i | ||||
\(566\) | 1.30291e13 | − | 7.52237e12i | 0.224302 | − | 0.129501i | ||||
\(567\) | − | 3.53795e12i | − | 0.0603721i | ||||||
\(568\) | 3.92069e13 | + | 6.79084e13i | 0.663164 | + | 1.14863i | ||||
\(569\) | −4.21238e13 | + | 7.29606e13i | −0.706263 | + | 1.22328i | 0.259971 | + | 0.965616i | \(0.416287\pi\) |
−0.966234 | + | 0.257666i | \(0.917046\pi\) | |||||||
\(570\) | 6.54361e12 | 0.108753 | ||||||||
\(571\) | −4.59564e13 | − | 2.65329e13i | −0.757122 | − | 0.437124i | 0.0711398 | − | 0.997466i | \(-0.477336\pi\) |
−0.828261 | + | 0.560342i | \(0.810670\pi\) | |||||||
\(572\) | −4.43949e11 | − | 7.68941e11i | −0.00725024 | − | 0.0125578i | ||||
\(573\) | −8.72609e13 | − | 1.51140e14i | −1.41269 | − | 2.44685i | ||||
\(574\) | 7.88944e13 | + | 1.36649e14i | 1.26615 | + | 2.19304i | ||||
\(575\) | 1.20538e13 | 0.191772 | ||||||||
\(576\) | −5.74792e13 | − | 9.95569e13i | −0.906564 | − | 1.57021i | ||||
\(577\) | 8.02809e13 | − | 4.63502e13i | 1.25526 | − | 0.724724i | 0.283110 | − | 0.959088i | \(-0.408634\pi\) |
0.972149 | + | 0.234364i | \(0.0753007\pi\) | |||||||
\(578\) | 4.85433e13 | + | 2.80265e13i | 0.752471 | + | 0.434440i | ||||
\(579\) | 6.34930e13 | + | 3.66577e13i | 0.975738 | + | 0.563342i | ||||
\(580\) | −8.28101e12 | −0.126166 | ||||||||
\(581\) | − | 1.84179e14i | − | 2.78202i | ||||||
\(582\) | −2.89676e13 | + | 5.01734e13i | −0.433808 | + | 0.751378i | ||||
\(583\) | −3.42982e13 | + | 5.94062e13i | −0.509247 | + | 0.882041i | ||||
\(584\) | −3.15520e13 | − | 5.46496e13i | −0.464475 | − | 0.804495i | ||||
\(585\) | 2.60318e12 | − | 1.50295e12i | 0.0379949 | − | 0.0219364i | ||||
\(586\) | 1.08430e14i | 1.56914i | ||||||||
\(587\) | −5.30562e13 | + | 3.06320e13i | −0.761282 | + | 0.439526i | −0.829756 | − | 0.558127i | \(-0.811520\pi\) |
0.0684739 | + | 0.997653i | \(0.478187\pi\) | |||||||
\(588\) | −4.29491e13 | + | 2.47967e13i | −0.611037 | + | 0.352783i | ||||
\(589\) | 1.01707e13 | − | 5.87203e12i | 0.143474 | − | 0.0828346i | ||||
\(590\) | −1.21562e12 | + | 2.10552e12i | −0.0170035 | + | 0.0294509i | ||||
\(591\) | 3.40585e13i | 0.472376i | ||||||||
\(592\) | −7.12303e13 | − | 4.11248e13i | −0.979617 | − | 0.565582i | ||||
\(593\) | 2.36969e13 | − | 1.36814e13i | 0.323161 | − | 0.186577i | −0.329640 | − | 0.944107i | \(-0.606927\pi\) |
0.652801 | + | 0.757530i | \(0.273594\pi\) | |||||||
\(594\) | −7.15707e13 | −0.967838 | ||||||||
\(595\) | −4.70244e12 | − | 8.14487e12i | −0.0630578 | − | 0.109219i | ||||
\(596\) | 3.29856e12 | + | 1.90443e12i | 0.0438625 | + | 0.0253240i | ||||
\(597\) | 3.89225e13 | − | 6.74157e13i | 0.513250 | − | 0.888975i | ||||
\(598\) | − | 1.13031e12i | − | 0.0147806i | ||||||
\(599\) | 4.72700e13 | − | 8.18740e13i | 0.612987 | − | 1.06172i | −0.377747 | − | 0.925909i | \(-0.623301\pi\) |
0.990734 | − | 0.135816i | \(-0.0433656\pi\) | |||||||
\(600\) | −1.17361e14 | −1.50927 | ||||||||
\(601\) | − | 6.40670e13i | − | 0.817076i | −0.912741 | − | 0.408538i | \(-0.866039\pi\) | ||
0.912741 | − | 0.408538i | \(-0.133961\pi\) | |||||||
\(602\) | −1.21472e14 | + | 4.65490e13i | −1.53636 | + | 0.588746i | ||||
\(603\) | −5.37503e13 | −0.674209 | ||||||||
\(604\) | − | 2.37522e13i | − | 0.295474i | ||||||
\(605\) | −2.35529e12 | − | 1.35983e12i | −0.0290581 | − | 0.0167767i | ||||
\(606\) | 2.13912e14 | 2.61741 | ||||||||
\(607\) | 1.99341e13 | + | 1.15090e13i | 0.241910 | + | 0.139667i | 0.616054 | − | 0.787704i | \(-0.288730\pi\) |
−0.374144 | + | 0.927371i | \(0.622063\pi\) | |||||||
\(608\) | 3.14316e12 | − | 5.44411e12i | 0.0378310 | − | 0.0655253i | ||||
\(609\) | 4.01114e14 | − | 2.31583e14i | 4.78830 | − | 2.76453i | ||||
\(610\) | − | 1.97081e13i | − | 0.233344i | ||||||
\(611\) | 1.56066e12 | + | 2.70314e12i | 0.0183274 | + | 0.0317441i | ||||
\(612\) | 2.50105e12 | − | 4.33194e12i | 0.0291316 | − | 0.0504574i | ||||
\(613\) | 1.43490e14 | 1.65775 | 0.828877 | − | 0.559431i | \(-0.188980\pi\) | ||||
0.828877 | + | 0.559431i | \(0.188980\pi\) | |||||||
\(614\) | 7.47695e13 | + | 4.31682e13i | 0.856806 | + | 0.494677i | ||||
\(615\) | −3.97386e13 | − | 6.88292e13i | −0.451686 | − | 0.782343i | ||||
\(616\) | 9.05185e13 | + | 1.56783e14i | 1.02055 | + | 1.76764i | ||||
\(617\) | −1.89732e13 | − | 3.28625e13i | −0.212185 | − | 0.367515i | 0.740213 | − | 0.672372i | \(-0.234725\pi\) |
−0.952398 | + | 0.304857i | \(0.901391\pi\) | |||||||
\(618\) | 1.54381e14 | 1.71258 | ||||||||
\(619\) | −6.96120e13 | − | 1.20572e14i | −0.766004 | − | 1.32676i | −0.939714 | − | 0.341961i | \(-0.888909\pi\) |
0.173710 | − | 0.984797i | \(-0.444424\pi\) | |||||||
\(620\) | 4.32143e12 | − | 2.49498e12i | 0.0471704 | − | 0.0272338i | ||||
\(621\) | 1.81179e13 | + | 1.04604e13i | 0.196178 | + | 0.113263i | ||||
\(622\) | −5.87190e13 | − | 3.39014e13i | −0.630705 | − | 0.364138i | ||||
\(623\) | 1.70979e14 | 1.82181 | ||||||||
\(624\) | 8.87584e12i | 0.0938181i | ||||||||
\(625\) | −2.97814e13 | + | 5.15829e13i | −0.312281 | + | 0.540886i | ||||
\(626\) | 4.28602e13 | − | 7.42361e13i | 0.445844 | − | 0.772224i | ||||
\(627\) | −1.68851e13 | − | 2.92459e13i | −0.174248 | − | 0.301806i | ||||
\(628\) | 1.64361e13 | − | 9.48939e12i | 0.168268 | − | 0.0971494i | ||||
\(629\) | − | 2.73417e13i | − | 0.277698i | ||||||
\(630\) | −8.35198e13 | + | 4.82202e13i | −0.841563 | + | 0.485877i | ||||
\(631\) | −3.91638e13 | + | 2.26112e13i | −0.391506 | + | 0.226036i | −0.682812 | − | 0.730594i | \(-0.739243\pi\) |
0.291307 | + | 0.956630i | \(0.405910\pi\) | |||||||
\(632\) | −5.34051e12 | + | 3.08334e12i | −0.0529660 | + | 0.0305799i | ||||
\(633\) | −9.52838e13 | + | 1.65036e14i | −0.937563 | + | 1.62391i | ||||
\(634\) | 5.68843e13i | 0.555323i | ||||||||
\(635\) | −4.81432e13 | − | 2.77955e13i | −0.466301 | − | 0.269219i | ||||
\(636\) | −2.66043e13 | + | 1.53600e13i | −0.255662 | + | 0.147606i | ||||
\(637\) | 1.81418e13 | 0.172975 | ||||||||
\(638\) | −9.30605e13 | − | 1.61185e14i | −0.880363 | − | 1.52483i | ||||
\(639\) | 1.86695e14 | + | 1.07788e14i | 1.75238 | + | 1.01174i | ||||
\(640\) | −1.22970e13 | + | 2.12990e13i | −0.114525 | + | 0.198362i | ||||
\(641\) | 1.08760e14i | 1.00503i | 0.864570 | + | 0.502513i | \(0.167591\pi\) | ||||
−0.864570 | + | 0.502513i | \(0.832409\pi\) | |||||||
\(642\) | −7.43426e13 | + | 1.28765e14i | −0.681652 | + | 1.18066i | ||||
\(643\) | −1.50497e14 | −1.36922 | −0.684609 | − | 0.728910i | \(-0.740027\pi\) | ||||
−0.684609 | + | 0.728910i | \(0.740027\pi\) | |||||||
\(644\) | − | 8.32701e12i | − | 0.0751726i | ||||||
\(645\) | 6.11846e13 | − | 2.34464e13i | 0.548080 | − | 0.210028i | ||||
\(646\) | −3.98339e12 | −0.0354071 | ||||||||
\(647\) | − | 1.98197e14i | − | 1.74813i | −0.485805 | − | 0.874067i | \(-0.661473\pi\) | ||
0.485805 | − | 0.874067i | \(-0.338527\pi\) | |||||||
\(648\) | −3.50413e12 | − | 2.02311e12i | −0.0306694 | − | 0.0177070i | ||||
\(649\) | 1.25471e13 | 0.108974 | ||||||||
\(650\) | 5.85047e12 | + | 3.37777e12i | 0.0504225 | + | 0.0291114i | ||||
\(651\) | −1.39547e14 | + | 2.41703e14i | −1.19348 | + | 2.06717i | ||||
\(652\) | 3.00539e12 | − | 1.73516e12i | 0.0255072 | − | 0.0147266i | ||||
\(653\) | 1.25616e14i | 1.05798i | 0.848628 | + | 0.528990i | \(0.177429\pi\) | ||||
−0.848628 | + | 0.528990i | \(0.822571\pi\) | |||||||
\(654\) | −7.42883e13 | − | 1.28671e14i | −0.620914 | − | 1.07545i | ||||
\(655\) | −2.52529e13 | + | 4.37393e13i | −0.209462 | + | 0.362799i | ||||
\(656\) | 1.45541e14 | 1.19803 | ||||||||
\(657\) | −1.50244e14 | − | 8.67431e13i | −1.22735 | − | 0.708612i | ||||
\(658\) | −5.00717e13 | − | 8.67267e13i | −0.405941 | − | 0.703111i | ||||
\(659\) | −1.85474e13 | − | 3.21250e13i | −0.149230 | − | 0.258474i | 0.781713 | − | 0.623638i | \(-0.214346\pi\) |
−0.930943 | + | 0.365164i | \(0.881013\pi\) | |||||||
\(660\) | −7.17436e12 | − | 1.24264e13i | −0.0572880 | − | 0.0992257i | ||||
\(661\) | 2.06867e14 | 1.63940 | 0.819700 | − | 0.572794i | \(-0.194140\pi\) | ||||
0.819700 | + | 0.572794i | \(0.194140\pi\) | |||||||
\(662\) | 1.06917e14 | + | 1.85185e14i | 0.840923 | + | 1.45652i | ||||
\(663\) | −2.55524e12 | + | 1.47527e12i | −0.0199464 | + | 0.0115160i | ||||
\(664\) | −1.82419e14 | − | 1.05319e14i | −1.41328 | − | 0.815958i | ||||
\(665\) | −1.52720e13 | − | 8.81728e12i | −0.117432 | − | 0.0677995i | ||||
\(666\) | −2.80369e14 | −2.13973 | ||||||||
\(667\) | 5.44048e13i | 0.412105i | ||||||||
\(668\) | −6.27857e12 | + | 1.08748e13i | −0.0472039 | + | 0.0817596i | ||||
\(669\) | −1.62268e14 | + | 2.81057e14i | −1.21089 | + | 2.09732i | ||||
\(670\) | 9.09350e12 | + | 1.57504e13i | 0.0673530 | + | 0.116659i | ||||
\(671\) | −8.80832e13 | + | 5.08548e13i | −0.647560 | + | 0.373869i | ||||
\(672\) | 1.49393e14i | 1.09014i | ||||||||
\(673\) | 1.21099e14 | − | 6.99164e13i | 0.877131 | − | 0.506412i | 0.00741974 | − | 0.999972i | \(-0.497638\pi\) |
0.869711 | + | 0.493561i | \(0.164305\pi\) | |||||||
\(674\) | 3.78780e13 | − | 2.18689e13i | 0.272325 | − | 0.157227i | ||||
\(675\) | −1.08285e14 | + | 6.25184e13i | −0.772769 | + | 0.446158i | ||||
\(676\) | 1.31080e13 | − | 2.27037e13i | 0.0928543 | − | 0.160828i | ||||
\(677\) | 3.39874e13i | 0.238987i | 0.992835 | + | 0.119493i | \(0.0381270\pi\) | ||||
−0.992835 | + | 0.119493i | \(0.961873\pi\) | |||||||
\(678\) | 8.99658e13 | + | 5.19418e13i | 0.627956 | + | 0.362550i | ||||
\(679\) | 1.35214e14 | − | 7.80656e13i | 0.936854 | − | 0.540893i | ||||
\(680\) | −1.07560e13 | −0.0739787 | ||||||||
\(681\) | −1.30162e14 | − | 2.25447e14i | −0.888685 | − | 1.53925i | ||||
\(682\) | 9.71270e13 | + | 5.60763e13i | 0.658291 | + | 0.380064i | ||||
\(683\) | −4.03034e13 | + | 6.98076e13i | −0.271168 | + | 0.469677i | −0.969161 | − | 0.246428i | \(-0.920743\pi\) |
0.697993 | + | 0.716104i | \(0.254077\pi\) | |||||||
\(684\) | − | 9.37914e12i | − | 0.0626444i | ||||||
\(685\) | 2.60120e13 | − | 4.50541e13i | 0.172473 | − | 0.298732i | ||||
\(686\) | −3.32100e14 | −2.18599 | ||||||||
\(687\) | − | 1.20680e14i | − | 0.788591i | ||||||
\(688\) | −1.88381e13 | + | 1.18500e14i | −0.122207 | + | 0.768736i | ||||
\(689\) | 1.12377e13 | 0.0723740 | ||||||||
\(690\) | − | 1.82663e13i | − | 0.116790i | ||||||
\(691\) | 2.67560e14 | + | 1.54476e14i | 1.69836 | + | 0.980551i | 0.947314 | + | 0.320306i | \(0.103786\pi\) |
0.751050 | + | 0.660245i | \(0.229548\pi\) | |||||||
\(692\) | −1.24846e13 | −0.0786766 | ||||||||
\(693\) | 4.31029e14 | + | 2.48855e14i | 2.69675 | + | 1.55697i | ||||
\(694\) | −7.93901e13 | + | 1.37508e14i | −0.493139 | + | 0.854141i | ||||
\(695\) | 1.80345e13 | − | 1.04122e13i | 0.111219 | − | 0.0642126i | ||||
\(696\) | − | 5.29706e14i | − | 3.24331i | ||||||
\(697\) | 2.41906e13 | + | 4.18994e13i | 0.147056 | + | 0.254709i | ||||
\(698\) | −6.50954e13 | + | 1.12749e14i | −0.392892 | + | 0.680509i | ||||
\(699\) | −2.65863e14 | −1.59321 | ||||||||
\(700\) | 4.31003e13 | + | 2.48840e13i | 0.256443 | + | 0.148057i | ||||
\(701\) | 1.62993e12 | + | 2.82311e12i | 0.00962892 | + | 0.0166778i | 0.870800 | − | 0.491638i | \(-0.163602\pi\) |
−0.861171 | + | 0.508316i | \(0.830268\pi\) | |||||||
\(702\) | 5.86249e12 | + | 1.01541e13i | 0.0343872 | + | 0.0595604i | ||||
\(703\) | −2.56334e13 | − | 4.43984e13i | −0.149290 | − | 0.258577i | ||||
\(704\) | 2.00742e14 | 1.16084 | ||||||||
\(705\) | 2.52208e13 | + | 4.36836e13i | 0.144815 | + | 0.250826i | ||||
\(706\) | −9.67608e13 | + | 5.58649e13i | −0.551666 | + | 0.318504i | ||||
\(707\) | −4.99244e14 | − | 2.88238e14i | −2.82628 | − | 1.63175i | ||||
\(708\) | 4.86626e12 | + | 2.80954e12i | 0.0273545 | + | 0.0157931i | ||||
\(709\) | 6.52493e13 | 0.364204 | 0.182102 | − | 0.983280i | \(-0.441710\pi\) | ||||
0.182102 | + | 0.983280i | \(0.441710\pi\) | |||||||
\(710\) | − | 7.29425e13i | − | 0.404286i | ||||||
\(711\) | −8.47677e12 | + | 1.46822e13i | −0.0466533 | + | 0.0808059i | ||||
\(712\) | 9.77713e13 | − | 1.69345e14i | 0.534332 | − | 0.925491i | ||||
\(713\) | −1.63916e13 | − | 2.83911e13i | −0.0889556 | − | 0.154076i | ||||
\(714\) | 8.19815e13 | − | 4.73320e13i | 0.441799 | − | 0.255073i | ||||
\(715\) | 5.24893e12i | 0.0280893i | ||||||||
\(716\) | −2.43162e13 | + | 1.40390e13i | −0.129220 | + | 0.0746054i | ||||
\(717\) | 2.14439e14 | − | 1.23806e14i | 1.13164 | − | 0.653351i | ||||
\(718\) | −1.47995e13 | + | 8.54449e12i | −0.0775576 | + | 0.0447779i | ||||
\(719\) | 5.84287e13 | − | 1.01201e14i | 0.304076 | − | 0.526674i | −0.672980 | − | 0.739661i | \(-0.734986\pi\) |
0.977055 | + | 0.212987i | \(0.0683191\pi\) | |||||||
\(720\) | 8.89546e13i | 0.459733i | ||||||||
\(721\) | −3.60306e14 | − | 2.08023e14i | −1.84925 | − | 1.06766i | ||||
\(722\) | 1.46757e14 | − | 8.47304e13i | 0.748021 | − | 0.431870i | ||||
\(723\) | −4.41306e14 | −2.23382 | ||||||||
\(724\) | −2.95114e13 | − | 5.11153e13i | −0.148353 | − | 0.256956i | ||||
\(725\) | −2.81597e14 | − | 1.62580e14i | −1.40585 | − | 0.811667i | ||||
\(726\) | 1.36872e13 | − | 2.37070e13i | 0.0678629 | − | 0.117542i | ||||
\(727\) | 8.58878e13i | 0.422921i | 0.977387 | + | 0.211461i | \(0.0678220\pi\) | ||||
−0.977387 | + | 0.211461i | \(0.932178\pi\) | |||||||
\(728\) | 1.48291e13 | − | 2.56848e13i | 0.0725201 | − | 0.125608i | ||||
\(729\) | 3.31855e14 | 1.61180 | ||||||||
\(730\) | 5.87009e13i | 0.283159i | ||||||||
\(731\) | −3.72458e13 | + | 1.42729e13i | −0.178439 | + | 0.0683793i | ||||
\(732\) | −4.55493e13 | −0.216734 | ||||||||
\(733\) | − | 1.33037e14i | − | 0.628713i | −0.949305 | − | 0.314357i | \(-0.898211\pi\) | ||
0.949305 | − | 0.314357i | \(-0.101789\pi\) | |||||||
\(734\) | 1.20417e14 | + | 6.95231e13i | 0.565209 | + | 0.326324i | ||||
\(735\) | 2.93178e14 | 1.36677 | ||||||||
\(736\) | −1.51971e13 | − | 8.77402e12i | −0.0703672 | − | 0.0406265i | ||||
\(737\) | 4.69297e13 | − | 8.12846e13i | 0.215829 | − | 0.373827i | ||||
\(738\) | 4.29648e14 | − | 2.48058e14i | 1.96260 | − | 1.13311i | ||||
\(739\) | 1.71904e14i | 0.779943i | 0.920827 | + | 0.389972i | \(0.127515\pi\) | ||||
−0.920827 | + | 0.389972i | \(0.872485\pi\) | |||||||
\(740\) | −1.08914e13 | − | 1.88645e13i | −0.0490825 | − | 0.0850134i | ||||
\(741\) | −2.76619e12 | + | 4.79118e12i | −0.0123820 | + | 0.0214463i | ||||
\(742\) | −3.60548e14 | −1.60304 | ||||||||
\(743\) | −1.29532e14 | − | 7.47854e13i | −0.572049 | − | 0.330273i | 0.185918 | − | 0.982565i | \(-0.440474\pi\) |
−0.757967 | + | 0.652293i | \(0.773807\pi\) | |||||||
\(744\) | 1.59595e14 | + | 2.76427e14i | 0.700091 | + | 1.21259i | ||||
\(745\) | −1.12583e13 | − | 1.94999e13i | −0.0490559 | − | 0.0849672i | ||||
\(746\) | −1.06123e14 | − | 1.83810e14i | −0.459320 | − | 0.795565i | ||||
\(747\) | −5.79091e14 | −2.48968 | ||||||||
\(748\) | 4.36735e12 | + | 7.56448e12i | 0.0186513 | + | 0.0323051i | ||||
\(749\) | 3.47013e14 | − | 2.00348e14i | 1.47210 | − | 0.849916i | ||||
\(750\) | 2.03326e14 | + | 1.17390e14i | 0.856812 | + | 0.494681i | ||||
\(751\) | 2.90313e14 | + | 1.67612e14i | 1.21525 | + | 0.701626i | 0.963899 | − | 0.266269i | \(-0.0857909\pi\) |
0.251354 | + | 0.967895i | \(0.419124\pi\) | |||||||
\(752\) | −9.23702e13 | −0.384099 | ||||||||
\(753\) | 6.29053e14i | 2.59844i | ||||||||
\(754\) | −1.52455e13 | + | 2.64060e13i | −0.0625585 | + | 0.108354i | ||||
\(755\) | −7.02072e13 | + | 1.21603e14i | −0.286185 | + | 0.495687i | ||||
\(756\) | 4.31889e13 | + | 7.48054e13i | 0.174889 | + | 0.302917i | ||||
\(757\) | −4.13535e14 | + | 2.38755e14i | −1.66354 | + | 0.960445i | −0.692536 | + | 0.721384i | \(0.743506\pi\) |
−0.971004 | + | 0.239062i | \(0.923160\pi\) | |||||||
\(758\) | − | 2.89382e13i | − | 0.115645i | ||||||
\(759\) | −8.16390e13 | + | 4.71343e13i | −0.324107 | + | 0.187123i | ||||
\(760\) | −1.74660e13 | + | 1.00840e13i | −0.0688851 | + | 0.0397708i | ||||
\(761\) | 4.60551e13 | − | 2.65899e13i | 0.180449 | − | 0.104182i | −0.407055 | − | 0.913404i | \(-0.633444\pi\) |
0.587504 | + | 0.809222i | \(0.300111\pi\) | |||||||
\(762\) | 2.79773e14 | − | 4.84582e14i | 1.08901 | − | 1.88622i | ||||
\(763\) | 4.00403e14i | 1.54837i | ||||||||
\(764\) | 7.33002e13 | + | 4.23199e13i | 0.281604 | + | 0.162584i | ||||
\(765\) | −2.56089e13 | + | 1.47853e13i | −0.0977424 | + | 0.0564316i | ||||
\(766\) | 1.78211e14 | 0.675756 | ||||||||
\(767\) | −1.02776e12 | − | 1.78014e12i | −0.00387182 | − | 0.00670619i | ||||
\(768\) | 2.02537e14 | + | 1.16935e14i | 0.758050 | + | 0.437660i | ||||
\(769\) | 7.64487e13 | − | 1.32413e14i | 0.284275 | − | 0.492379i | −0.688158 | − | 0.725561i | \(-0.741580\pi\) |
0.972433 | + | 0.233182i | \(0.0749138\pi\) | |||||||
\(770\) | − | 1.68405e14i | − | 0.622160i | ||||||
\(771\) | 5.73631e13 | − | 9.93558e13i | 0.210553 | − | 0.364688i | ||||
\(772\) | −3.55566e13 | −0.129668 | ||||||||
\(773\) | 2.44984e14i | 0.887647i | 0.896114 | + | 0.443824i | \(0.146378\pi\) | ||||
−0.896114 | + | 0.443824i | \(0.853622\pi\) | |||||||
\(774\) | 1.46358e14 | + | 3.81929e14i | 0.526881 | + | 1.37492i | ||||
\(775\) | 1.95935e14 | 0.700815 | ||||||||
\(776\) | − | 1.78561e14i | − | 0.634569i | ||||||
\(777\) | 1.05512e15 | + | 6.09171e14i | 3.72559 | + | 2.15097i | ||||
\(778\) | −1.45991e14 | −0.512185 | ||||||||
\(779\) | 7.85632e13 | + | 4.53585e13i | 0.273862 | + | 0.158114i | ||||
\(780\) | −1.17533e12 | + | 2.03574e12i | −0.00407087 | + | 0.00705096i | ||||
\(781\) | −3.26008e14 | + | 1.88221e14i | −1.12195 | + | 0.647758i | ||||
\(782\) | 1.11195e13i | 0.0380234i | ||||||||
\(783\) | −2.82176e14 | − | 4.88743e14i | −0.958763 | − | 1.66063i | ||||
\(784\) | −2.68439e14 | + | 4.64950e14i | −0.906287 | + | 1.56973i | ||||
\(785\) | −1.12196e14 | −0.376382 | ||||||||
\(786\) | −4.40255e14 | − | 2.54181e14i | −1.46754 | − | 0.847287i | ||||
\(787\) | −8.62879e13 | − | 1.49455e14i | −0.285809 | − | 0.495036i | 0.686996 | − | 0.726661i | \(-0.258929\pi\) |
−0.972805 | + | 0.231625i | \(0.925596\pi\) | |||||||
\(788\) | −8.25887e12 | − | 1.43048e13i | −0.0271825 | − | 0.0470815i | ||||
\(789\) | −1.35992e14 | − | 2.35545e14i | −0.444763 | − | 0.770353i | ||||
\(790\) | 5.73641e12 | 0.0186425 | ||||||||
\(791\) | −1.39979e14 | − | 2.42451e14i | −0.452045 | − | 0.782965i | ||||
\(792\) | 4.92952e14 | − | 2.84606e14i | 1.58190 | − | 0.913309i | ||||
\(793\) | 1.44301e13 | + | 8.33124e12i | 0.0460155 | + | 0.0265671i | ||||
\(794\) | −2.96638e14 | − | 1.71264e14i | −0.939992 | − | 0.542705i | ||||
\(795\) | 1.81605e14 | 0.571865 | ||||||||
\(796\) | 3.77533e13i | 0.118138i | ||||||||
\(797\) | −2.54019e13 | + | 4.39973e13i | −0.0789903 | + | 0.136815i | −0.902815 | − | 0.430030i | \(-0.858503\pi\) |
0.823824 | + | 0.566845i | \(0.191836\pi\) | |||||||
\(798\) | 8.87496e13 | − | 1.53719e14i | 0.274253 | − | 0.475021i | ||||
\(799\) | −1.53530e13 | − | 2.65922e13i | −0.0471476 | − | 0.0816620i | ||||
\(800\) | 9.08281e13 | − | 5.24396e13i | 0.277185 | − | 0.160033i | ||||
\(801\) | − | 5.37588e14i | − | 1.63037i | ||||||
\(802\) | −4.76363e13 | + | 2.75028e13i | −0.143571 | + | 0.0828906i | ||||
\(803\) | 2.62357e14 | − | 1.51472e14i | 0.785805 | − | 0.453685i | ||||
\(804\) | 3.64023e13 | − | 2.10169e13i | 0.108355 | − | 0.0625587i | ||||
\(805\) | −2.46132e13 | + | 4.26312e13i | −0.0728095 | + | 0.126110i | ||||
\(806\) | − | 1.83733e13i | − | 0.0540146i | ||||||
\(807\) | 9.19921e14 | + | 5.31117e14i | 2.68771 | + | 1.55175i | ||||
\(808\) | −5.70966e14 | + | 3.29647e14i | −1.65788 | + | 0.957178i | ||||
\(809\) | 9.44315e12 | 0.0272505 | 0.0136252 | − | 0.999907i | \(-0.495663\pi\) | ||||
0.0136252 | + | 0.999907i | \(0.495663\pi\) | |||||||
\(810\) | 1.88195e12 | + | 3.25963e12i | 0.00539737 | + | 0.00934852i | ||||
\(811\) | 2.01326e14 | + | 1.16236e14i | 0.573846 | + | 0.331310i | 0.758684 | − | 0.651459i | \(-0.225843\pi\) |
−0.184838 | + | 0.982769i | \(0.559176\pi\) | |||||||
\(812\) | −1.12314e14 | + | 1.94533e14i | −0.318165 | + | 0.551078i | ||||
\(813\) | − | 9.59866e13i | − | 0.270245i | ||||||
\(814\) | 2.44792e14 | − | 4.23992e14i | 0.684976 | − | 1.18641i | ||||
\(815\) | −2.05153e13 | −0.0570546 | ||||||||
\(816\) | − | 8.73162e13i | − | 0.241348i | ||||||
\(817\) | −4.70999e13 | + | 5.80956e13i | −0.129393 | + | 0.159600i | ||||
\(818\) | 2.50696e14 | 0.684513 | ||||||||
\(819\) | − | 8.15367e13i | − | 0.221276i | ||||||
\(820\) | 3.33809e13 | + | 1.92725e13i | 0.0900385 | + | 0.0519838i | ||||
\(821\) | −1.14744e14 | −0.307619 | −0.153810 | − | 0.988100i | \(-0.549154\pi\) | ||||
−0.153810 | + | 0.988100i | \(0.549154\pi\) | |||||||
\(822\) | 4.53488e14 | + | 2.61821e14i | 1.20839 | + | 0.697664i | ||||
\(823\) | 9.90922e13 | − | 1.71633e14i | 0.262446 | − | 0.454570i | −0.704445 | − | 0.709758i | \(-0.748804\pi\) |
0.966891 | + | 0.255188i | \(0.0821374\pi\) | |||||||
\(824\) | −4.12068e14 | + | 2.37908e14i | −1.08476 | + | 0.626286i | ||||
\(825\) | − | 5.63414e14i | − | 1.47421i | ||||||
\(826\) | 3.29744e13 | + | 5.71133e13i | 0.0857584 | + | 0.148538i | ||||
\(827\) | 6.38065e13 | − | 1.10516e14i | 0.164944 | − | 0.285692i | −0.771691 | − | 0.635997i | \(-0.780589\pi\) |
0.936636 | + | 0.350305i | \(0.113922\pi\) | |||||||
\(828\) | −2.61815e13 | −0.0672734 | ||||||||
\(829\) | 1.93362e14 | + | 1.11638e14i | 0.493854 | + | 0.285127i | 0.726172 | − | 0.687513i | \(-0.241298\pi\) |
−0.232318 | + | 0.972640i | \(0.574631\pi\) | |||||||
\(830\) | 9.79707e13 | + | 1.69690e14i | 0.248717 | + | 0.430791i | ||||
\(831\) | 2.64793e14 | + | 4.58635e14i | 0.668192 | + | 1.15734i | ||||
\(832\) | −1.64431e13 | − | 2.84804e13i | −0.0412447 | − | 0.0714379i | ||||
\(833\) | −1.78471e14 | −0.444982 | ||||||||
\(834\) | 1.04803e14 | + | 1.81525e14i | 0.259744 | + | 0.449890i | ||||
\(835\) | 6.42879e13 | − | 3.71166e13i | 0.158379 | − | 0.0914400i | ||||
\(836\) | 1.41837e13 | + | 8.18897e12i | 0.0347343 | + | 0.0200539i | ||||
\(837\) | 2.94506e14 | + | 1.70033e14i | 0.716915 | + | 0.413911i | ||||
\(838\) | 1.84420e14 | 0.446260 | ||||||||
\(839\) | − | 6.67503e14i | − | 1.60562i | −0.596234 | − | 0.802811i | \(-0.703337\pi\) | ||
0.596234 | − | 0.802811i | \(-0.296663\pi\) | |||||||
\(840\) | 2.39643e14 | − | 4.15075e14i | 0.573019 | − | 0.992498i | ||||
\(841\) | 5.23451e14 | − | 9.06644e14i | 1.24422 | − | 2.15505i | ||||
\(842\) | −7.09334e13 | − | 1.22860e14i | −0.167606 | − | 0.290302i | ||||
\(843\) | −7.01097e14 | + | 4.04778e14i | −1.64680 | + | 0.950779i | ||||
\(844\) | − | 9.24217e13i | − | 0.215805i | ||||||
\(845\) | −1.34216e14 | + | 7.74896e13i | −0.311545 | + | 0.179871i | ||||
\(846\) | −2.72684e14 | + | 1.57434e14i | −0.629227 | + | 0.363284i | ||||
\(847\) | −6.38886e13 | + | 3.68861e13i | −0.146557 | + | 0.0846147i | ||||
\(848\) | −1.66281e14 | + | 2.88007e14i | −0.379196 | + | 0.656786i | ||||
\(849\) | 2.05556e14i | 0.466006i | ||||||||
\(850\) | −5.75541e13 | − | 3.32289e13i | −0.129713 | − | 0.0748896i | ||||
\(851\) | −1.23937e14 | + | 7.15548e13i | −0.277685 | + | 0.160321i | ||||
\(852\) | −1.68584e14 | −0.375508 | ||||||||
\(853\) | −5.97520e13 | − | 1.03493e14i | −0.132314 | − | 0.229175i | 0.792254 | − | 0.610192i | \(-0.208908\pi\) |
−0.924568 | + | 0.381016i | \(0.875574\pi\) | |||||||
\(854\) | −4.62972e14 | − | 2.67297e14i | −1.01921 | − | 0.588444i | ||||
\(855\) | −2.77230e13 | + | 4.80177e13i | −0.0606751 | + | 0.105092i | ||||
\(856\) | − | 4.58261e14i | − | 0.997113i | ||||||
\(857\) | −2.10277e14 | + | 3.64211e14i | −0.454871 | + | 0.787860i | −0.998681 | − | 0.0513486i | \(-0.983648\pi\) |
0.543810 | + | 0.839209i | \(0.316981\pi\) | |||||||
\(858\) | −5.28327e13 | −0.113623 | ||||||||
\(859\) | 1.89641e14i | 0.405478i | 0.979233 | + | 0.202739i | \(0.0649843\pi\) | ||||
−0.979233 | + | 0.202739i | \(0.935016\pi\) | |||||||
\(860\) | −2.00124e13 | + | 2.46843e13i | −0.0425409 | + | 0.0524722i | ||||
\(861\) | −2.15586e15 | −4.55623 | ||||||||
\(862\) | − | 3.82414e14i | − | 0.803521i | ||||||
\(863\) | 4.27067e14 | + | 2.46568e14i | 0.892159 | + | 0.515089i | 0.874648 | − | 0.484758i | \(-0.161092\pi\) |
0.0175112 | + | 0.999847i | \(0.494426\pi\) | |||||||
\(864\) | 1.82029e14 | 0.378071 | ||||||||
\(865\) | 6.39168e13 | + | 3.69024e13i | 0.131988 | + | 0.0762033i | ||||
\(866\) | −1.88258e14 | + | 3.26073e14i | −0.386513 | + | 0.669460i | ||||
\(867\) | −6.63245e14 | + | 3.82925e14i | −1.35388 | + | 0.781660i | ||||
\(868\) | − | 1.35356e14i | − | 0.274712i | ||||||
\(869\) | −1.48022e13 | − | 2.56382e13i | −0.0298695 | − | 0.0517355i | ||||
\(870\) | −2.46373e14 | + | 4.26731e14i | −0.494307 | + | 0.856165i | ||||
\(871\) | −1.53764e13 | −0.0306736 | ||||||||
\(872\) | 3.96576e14 | + | 2.28963e14i | 0.786582 | + | 0.454133i | ||||
\(873\) | −2.45452e14 | − | 4.25135e14i | −0.484055 | − | 0.838408i | ||||
\(874\) | 1.04248e13 | + | 1.80562e13i | 0.0204413 | + | 0.0354054i | ||||
\(875\) | −3.16358e14 | − | 5.47948e14i | −0.616792 | − | 1.06831i | ||||
\(876\) | 1.35669e14 | 0.263003 | ||||||||
\(877\) | 3.04522e13 | + | 5.27447e13i | 0.0586976 | + | 0.101667i | 0.893881 | − | 0.448304i | \(-0.147972\pi\) |
−0.835183 | + | 0.549971i | \(0.814639\pi\) | |||||||
\(878\) | 1.51941e14 | − | 8.77232e13i | 0.291208 | − | 0.168129i | ||||
\(879\) | −1.28300e15 | − | 7.40740e14i | −2.44502 | − | 1.41163i | ||||
\(880\) | −1.34523e14 | − | 7.76668e13i | −0.254907 | − | 0.147171i | ||||
\(881\) | 2.45358e14 | 0.462296 | 0.231148 | − | 0.972919i | \(-0.425752\pi\) | ||||
0.231148 | + | 0.972919i | \(0.425752\pi\) | |||||||
\(882\) | 1.83009e15i | 3.42870i | ||||||||
\(883\) | −1.53208e12 | + | 2.65365e12i | −0.00285416 | + | 0.00494355i | −0.867449 | − | 0.497526i | \(-0.834242\pi\) |
0.864595 | + | 0.502470i | \(0.167575\pi\) | |||||||
\(884\) | 7.15477e11 | − | 1.23924e12i | 0.00132536 | − | 0.00229559i | ||||
\(885\) | −1.66090e13 | − | 2.87676e13i | −0.0305933 | − | 0.0529892i | ||||
\(886\) | 6.90657e14 | − | 3.98751e14i | 1.26501 | − | 0.730354i | ||||
\(887\) | 1.58582e14i | 0.288826i | 0.989517 | + | 0.144413i | \(0.0461294\pi\) | ||||
−0.989517 | + | 0.144413i | \(0.953871\pi\) | |||||||
\(888\) | 1.20670e15 | − | 6.96686e14i | 2.18541 | − | 1.26175i | ||||
\(889\) | −1.30591e15 | + | 7.53969e14i | −2.35183 | + | 1.35783i | ||||
\(890\) | −1.57529e14 | + | 9.09493e13i | −0.282105 | + | 0.162873i | ||||
\(891\) | 9.71235e12 | − | 1.68223e13i | 0.0172956 | − | 0.0299569i | ||||
\(892\) | − | 1.57394e14i | − | 0.278718i | ||||||
\(893\) | −4.98615e13 | − | 2.87875e13i | −0.0878027 | − | 0.0506929i | ||||
\(894\) | 1.96275e14 | − | 1.13319e14i | 0.343698 | − | 0.198434i | ||||
\(895\) | 1.65987e14 | 0.289040 | ||||||||
\(896\) | 3.33563e14 | + | 5.77748e14i | 0.577614 | + | 1.00046i | ||||
\(897\) | 1.33744e13 | + | 7.72173e12i | 0.0230310 | + | 0.0132970i | ||||
\(898\) | 4.84243e13 | − | 8.38733e13i | 0.0829243 | − | 0.143629i | ||||
\(899\) | 8.84350e14i | 1.50600i | ||||||||
\(900\) | 7.82395e13 | − | 1.35515e14i | 0.132499 | − | 0.229496i | ||||
\(901\) | −1.10551e14 | −0.186183 | ||||||||
\(902\) | 8.66321e14i | 1.45093i | ||||||||
\(903\) | 2.79044e14 | − | 1.75531e15i | 0.464766 | − | 2.92359i | ||||
\(904\) | −3.20178e14 | −0.530335 | ||||||||
\(905\) | 3.48922e14i | 0.574759i | ||||||||
\(906\) | −1.22398e15 | − | 7.06665e14i | −2.00509 | − | 1.15764i | ||||
\(907\) | 8.20518e14 | 1.33675 | 0.668377 | − | 0.743822i | \(-0.266989\pi\) | ||||
0.668377 | + | 0.743822i | \(0.266989\pi\) | |||||||
\(908\) | 1.09337e14 | + | 6.31260e13i | 0.177149 | + | 0.102277i | ||||
\(909\) | −9.06271e14 | + | 1.56971e15i | −1.46029 | + | 2.52929i | ||||
\(910\) | −2.38926e13 | + | 1.37944e13i | −0.0382875 | + | 0.0221053i | ||||
\(911\) | − | 7.46593e14i | − | 1.18985i | −0.803781 | − | 0.594925i | \(-0.797182\pi\) | ||
0.803781 | − | 0.594925i | \(-0.202818\pi\) | |||||||
\(912\) | −8.18608e13 | − | 1.41787e14i | −0.129748 | − | 0.224731i | ||||
\(913\) | 5.05607e14 | − | 8.75738e14i | 0.797002 | − | 1.38045i | ||||
\(914\) | 7.36168e14 | 1.15411 | ||||||||
\(915\) | 2.33196e14 | + | 1.34636e14i | 0.363593 | + | 0.209920i | ||||
\(916\) | 2.92638e13 | + | 5.06863e13i | 0.0453788 | + | 0.0785984i | ||||
\(917\) | 6.85000e14 | + | 1.18646e15i | 1.05644 | + | 1.82980i | ||||
\(918\) | −5.76724e13 | − | 9.98915e13i | −0.0884616 | − | 0.153220i | ||||
\(919\) | 7.73007e14 | 1.17925 | 0.589625 | − | 0.807677i | \(-0.299276\pi\) | ||||
0.589625 | + | 0.807677i | \(0.299276\pi\) | |||||||
\(920\) | 2.81491e13 | + | 4.87557e13i | 0.0427096 | + | 0.0739753i | ||||
\(921\) | −1.02157e15 | + | 5.89806e14i | −1.54160 | + | 0.890042i | ||||
\(922\) | 6.13909e14 | + | 3.54440e14i | 0.921402 | + | 0.531972i | ||||
\(923\) | 5.34080e13 | + | 3.08351e13i | 0.0797255 | + | 0.0460296i | ||||
\(924\) | −3.89217e14 | −0.577873 | ||||||||
\(925\) | − | 8.55323e14i | − | 1.26305i | ||||||
\(926\) | 5.78827e14 | − | 1.00256e15i | 0.850147 | − | 1.47250i | ||||
\(927\) | −6.54059e14 | + | 1.13286e15i | −0.955473 | + | 1.65493i | ||||
\(928\) | 2.36686e14 | + | 4.09952e14i | 0.343900 | + | 0.595652i | ||||
\(929\) | −4.81851e14 | + | 2.78197e14i | −0.696361 | + | 0.402044i | −0.805990 | − | 0.591929i | \(-0.798367\pi\) |
0.109630 | + | 0.993972i | \(0.465033\pi\) | |||||||
\(930\) | − | 2.96918e14i | − | 0.426798i | ||||||
\(931\) | −2.89807e14 | + | 1.67320e14i | −0.414344 | + | 0.239221i | ||||
\(932\) | 1.11664e14 | − | 6.44693e13i | 0.158794 | − | 0.0916798i | ||||
\(933\) | 8.02275e14 | − | 4.63194e14i | 1.13479 | − | 0.655171i | ||||
\(934\) | −1.41068e14 | + | 2.44337e14i | −0.198470 | + | 0.343760i | ||||
\(935\) | − | 5.16364e13i | − | 0.0722601i | ||||||
\(936\) | −8.07573e13 | − | 4.66253e13i | −0.112409 | − | 0.0648996i | ||||
\(937\) | 9.37597e14 | − | 5.41322e14i | 1.29813 | − | 0.749476i | 0.318049 | − | 0.948074i | \(-0.396972\pi\) |
0.980081 | + | 0.198599i | \(0.0636390\pi\) | |||||||
\(938\) | 4.93333e14 | 0.679400 | ||||||||
\(939\) | 5.85598e14 | + | 1.01428e15i | 0.802179 | + | 1.38941i | ||||
\(940\) | −2.11858e13 | − | 1.22316e13i | −0.0288672 | − | 0.0166665i | ||||
\(941\) | −1.56295e14 | + | 2.70711e14i | −0.211835 | + | 0.366908i | −0.952289 | − | 0.305199i | \(-0.901277\pi\) |
0.740454 | + | 0.672107i | \(0.234610\pi\) | |||||||
\(942\) | − | 1.12930e15i | − | 1.52249i | ||||||
\(943\) | 1.26617e14 | − | 2.19306e14i | 0.169798 | − | 0.294099i | ||||
\(944\) | 6.08298e13 | 0.0811441 | ||||||||
\(945\) | − | 5.10635e14i | − | 0.677566i | ||||||
\(946\) | −7.05363e14 | − | 1.12132e14i | −0.931016 | − | 0.148005i | ||||
\(947\) | −5.15790e14 | −0.677210 | −0.338605 | − | 0.940929i | \(-0.609955\pi\) | ||||
−0.338605 | + | 0.940929i | \(0.609955\pi\) | |||||||
\(948\) | − | 1.32580e13i | − | 0.0173155i | ||||||
\(949\) | −4.29803e13 | − | 2.48147e13i | −0.0558391 | − | 0.0322387i | ||||
\(950\) | −1.24611e14 | −0.161042 | ||||||||
\(951\) | −6.73082e14 | − | 3.88604e14i | −0.865297 | − | 0.499579i | ||||
\(952\) | −1.45882e14 | + | 2.52674e14i | −0.186559 | + | 0.323129i | ||||
\(953\) | 4.32769e14 | − | 2.49860e14i | 0.550544 | − | 0.317857i | −0.198797 | − | 0.980041i | \(-0.563704\pi\) |
0.749341 | + | 0.662184i | \(0.230370\pi\) | |||||||
\(954\) | 1.13362e15i | 1.43459i | ||||||||
\(955\) | −2.50180e14 | − | 4.33325e14i | −0.314946 | − | 0.545502i | ||||
\(956\) | −6.00437e13 | + | 1.03999e14i | −0.0751931 | + | 0.130238i | ||||
\(957\) | 2.54296e15 | 3.16797 | ||||||||
\(958\) | 1.35170e13 | + | 7.80405e12i | 0.0167515 | + | 0.00967147i | ||||
\(959\) | −7.05590e14 | − | 1.22212e15i | −0.869880 | − | 1.50668i | ||||
\(960\) | −2.65727e14 | − | 4.60252e14i | −0.325896 | − | 0.564469i | ||||
\(961\) | 1.43369e14 | + | 2.48322e14i | 0.174919 | + | 0.302969i | ||||
\(962\) | −8.02056e13 | −0.0973485 | ||||||||
\(963\) | −6.29929e14 | − | 1.09107e15i | −0.760606 | − | 1.31741i | ||||
\(964\) | 1.85351e14 | − | 1.07013e14i | 0.222644 | − | 0.128543i | ||||
\(965\) | 1.82037e14 | + | 1.05099e14i | 0.217532 | + | 0.125592i | ||||
\(966\) | −4.29101e14 | − | 2.47742e14i | −0.510122 | − | 0.294519i | ||||
\(967\) | 1.16775e15 | 1.38108 | 0.690540 | − | 0.723295i | \(-0.257373\pi\) | ||||
0.690540 | + | 0.723295i | \(0.257373\pi\) | |||||||
\(968\) | 8.43705e13i | 0.0992691i | ||||||||
\(969\) | 2.72124e13 | − | 4.71333e13i | 0.0318529 | − | 0.0551708i | ||||
\(970\) | −8.30512e13 | + | 1.43849e14i | −0.0967135 | + | 0.167513i | ||||
\(971\) | 1.46869e14 | + | 2.54385e14i | 0.170151 | + | 0.294711i | 0.938473 | − | 0.345354i | \(-0.112241\pi\) |
−0.768321 | + | 0.640064i | \(0.778908\pi\) | |||||||
\(972\) | −1.36520e14 | + | 7.88196e13i | −0.157349 | + | 0.0908454i | ||||
\(973\) | − | 5.64876e14i | − | 0.647722i | ||||||
\(974\) | 1.31414e15 | − | 7.58720e14i | 1.49916 | − | 0.865540i | ||||
\(975\) | −7.99348e13 | + | 4.61504e13i | −0.0907221 | + | 0.0523784i | ||||
\(976\) | −4.27036e14 | + | 2.46549e14i | −0.482187 | + | 0.278391i | ||||
\(977\) | −4.59438e14 | + | 7.95770e14i | −0.516124 | + | 0.893953i | 0.483701 | + | 0.875233i | \(0.339292\pi\) |
−0.999825 | + | 0.0187195i | \(0.994041\pi\) | |||||||
\(978\) | − | 2.06495e14i | − | 0.230789i | ||||||
\(979\) | 8.12975e14 | + | 4.69371e14i | 0.903990 | + | 0.521919i | ||||
\(980\) | −1.23137e14 | + | 7.10930e13i | −0.136225 | + | 0.0786496i | ||||
\(981\) | 1.25894e15 | 1.38567 | ||||||||
\(982\) | −2.10881e14 | − | 3.65256e14i | −0.230929 | − | 0.399982i | ||||
\(983\) | 1.18870e15 | + | 6.86295e14i | 1.29510 | + | 0.747727i | 0.979554 | − | 0.201183i | \(-0.0644785\pi\) |
0.315547 | + | 0.948910i | \(0.397812\pi\) | |||||||
\(984\) | −1.23279e15 | + | 2.13525e15i | −1.33633 | + | 2.31459i | ||||
\(985\) | 9.76470e13i | 0.105312i | ||||||||
\(986\) | 1.49978e14 | − | 2.59770e14i | 0.160932 | − | 0.278743i | ||||
\(987\) | 1.36826e15 | 1.46077 | ||||||||
\(988\) | − | 2.68310e12i | − | 0.00285005i | ||||||
\(989\) | 1.62172e14 | + | 1.31478e14i | 0.171393 | + | 0.138954i | ||||
\(990\) | −5.29495e14 | −0.556783 | ||||||||
\(991\) | 1.12779e15i | 1.17994i | 0.807425 | + | 0.589971i | \(0.200861\pi\) | ||||
−0.807425 | + | 0.589971i | \(0.799139\pi\) | |||||||
\(992\) | −2.47028e14 | − | 1.42622e14i | −0.257151 | − | 0.148466i | ||||
\(993\) | −2.92160e15 | −3.02604 | ||||||||
\(994\) | −1.71353e15 | − | 9.89304e14i | −1.76587 | − | 1.01953i | ||||
\(995\) | 1.11592e14 | − | 1.93283e14i | 0.114424 | − | 0.198189i | ||||
\(996\) | 3.92188e14 | − | 2.26430e14i | 0.400126 | − | 0.231013i | ||||
\(997\) | − | 2.78600e14i | − | 0.282817i | −0.989951 | − | 0.141408i | \(-0.954837\pi\) | ||
0.989951 | − | 0.141408i | \(-0.0451631\pi\) | |||||||
\(998\) | −7.06129e14 | − | 1.22305e15i | −0.713233 | − | 1.23536i | ||||
\(999\) | 7.42253e14 | − | 1.28562e15i | 0.745976 | − | 1.29207i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.11.d.a.37.26 | yes | 72 | |
43.7 | odd | 6 | inner | 43.11.d.a.7.11 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.11 | ✓ | 72 | 43.7 | odd | 6 | inner | |
43.11.d.a.37.26 | yes | 72 | 1.1 | even | 1 | trivial |