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 | 7.3 | ||
Character | \(\chi\) | \(=\) | 43.7 |
Dual form | 43.11.d.a.37.34 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 58.5530i | − | 1.82978i | −0.403701 | − | 0.914891i | \(-0.632276\pi\) | ||
0.403701 | − | 0.914891i | \(-0.367724\pi\) | |||||||
\(3\) | 358.847 | − | 207.180i | 1.47674 | − | 0.852594i | 0.477081 | − | 0.878859i | \(-0.341695\pi\) |
0.999655 | + | 0.0262655i | \(0.00836154\pi\) | |||||||
\(4\) | −2404.46 | −2.34810 | ||||||||
\(5\) | 4070.35 | − | 2350.02i | 1.30251 | − | 0.752006i | 0.321678 | − | 0.946849i | \(-0.395753\pi\) |
0.980834 | + | 0.194844i | \(0.0624200\pi\) | |||||||
\(6\) | −12131.0 | − | 21011.6i | −1.56006 | − | 2.70210i | ||||
\(7\) | −22979.0 | − | 13266.9i | −1.36723 | − | 0.789370i | −0.376656 | − | 0.926353i | \(-0.622926\pi\) |
−0.990573 | + | 0.136983i | \(0.956259\pi\) | |||||||
\(8\) | 80829.9i | 2.46673i | ||||||||
\(9\) | 56322.9 | − | 97554.1i | 0.953833 | − | 1.65209i | ||||
\(10\) | −137601. | − | 238331.i | −1.37601 | − | 2.38331i | ||||
\(11\) | 265889. | 1.65096 | 0.825480 | − | 0.564432i | \(-0.190905\pi\) | ||||
0.825480 | + | 0.564432i | \(0.190905\pi\) | |||||||
\(12\) | −862832. | + | 498156.i | −3.46753 | + | 2.00198i | ||||
\(13\) | −13714.2 | + | 23753.7i | −0.0369364 | + | 0.0639757i | −0.883903 | − | 0.467671i | \(-0.845093\pi\) |
0.846966 | + | 0.531647i | \(0.178427\pi\) | |||||||
\(14\) | −776820. | + | 1.34549e6i | −1.44438 | + | 2.50173i | ||||
\(15\) | 973755. | − | 1.68659e6i | 1.28231 | − | 2.22103i | ||||
\(16\) | 2.27067e6 | 2.16548 | ||||||||
\(17\) | 152213. | − | 263640.i | 0.107203 | − | 0.185681i | −0.807433 | − | 0.589959i | \(-0.799144\pi\) |
0.914636 | + | 0.404278i | \(0.132477\pi\) | |||||||
\(18\) | −5.71209e6 | − | 3.29787e6i | −3.02296 | − | 1.74531i | ||||
\(19\) | −1.96177e6 | + | 1.13263e6i | −0.792281 | + | 0.457424i | −0.840765 | − | 0.541400i | \(-0.817894\pi\) |
0.0484841 | + | 0.998824i | \(0.484561\pi\) | |||||||
\(20\) | −9.78698e6 | + | 5.65051e6i | −3.05843 | + | 1.76579i | ||||
\(21\) | −1.09946e7 | −2.69205 | ||||||||
\(22\) | − | 1.55686e7i | − | 3.02090i | ||||||
\(23\) | 568445. | + | 984576.i | 0.0883180 | + | 0.152971i | 0.906800 | − | 0.421561i | \(-0.138517\pi\) |
−0.818482 | + | 0.574532i | \(0.805184\pi\) | |||||||
\(24\) | 1.67464e7 | + | 2.90056e7i | 2.10312 | + | 3.64271i | ||||
\(25\) | 6.16235e6 | − | 1.06735e7i | 0.631025 | − | 1.09297i | ||||
\(26\) | 1.39085e6 | + | 803009.i | 0.117062 | + | 0.0675855i | ||||
\(27\) | − | 2.22084e7i | − | 1.54774i | ||||||
\(28\) | 5.52521e7 | + | 3.18998e7i | 3.21039 | + | 1.85352i | ||||
\(29\) | 9.21238e6 | + | 5.31877e6i | 0.449140 | + | 0.259311i | 0.707467 | − | 0.706746i | \(-0.249838\pi\) |
−0.258327 | + | 0.966058i | \(0.583171\pi\) | |||||||
\(30\) | −9.87551e7 | − | 5.70163e7i | −4.06400 | − | 2.34635i | ||||
\(31\) | 2.30786e7 | + | 3.99734e7i | 0.806124 | + | 1.39625i | 0.915530 | + | 0.402250i | \(0.131772\pi\) |
−0.109406 | + | 0.993997i | \(0.534895\pi\) | |||||||
\(32\) | − | 5.01849e7i | − | 1.49563i | ||||||
\(33\) | 9.54133e7 | − | 5.50869e7i | 2.43803 | − | 1.40760i | ||||
\(34\) | −1.54369e7 | − | 8.91252e6i | −0.339755 | − | 0.196158i | ||||
\(35\) | −1.24710e8 | −2.37444 | ||||||||
\(36\) | −1.35426e8 | + | 2.34565e8i | −2.23970 | + | 3.87927i | ||||
\(37\) | 3.09274e7 | − | 1.78560e7i | 0.446000 | − | 0.257498i | −0.260139 | − | 0.965571i | \(-0.583768\pi\) |
0.706140 | + | 0.708073i | \(0.250435\pi\) | |||||||
\(38\) | 6.63187e7 | + | 1.14867e8i | 0.836985 | + | 1.44970i | ||||
\(39\) | 1.13653e7i | 0.125967i | ||||||||
\(40\) | 1.89952e8 | + | 3.29006e8i | 1.85500 | + | 3.21295i | ||||
\(41\) | −2.78843e7 | −0.240680 | −0.120340 | − | 0.992733i | \(-0.538398\pi\) | ||||
−0.120340 | + | 0.992733i | \(0.538398\pi\) | |||||||
\(42\) | 6.43767e8i | 4.92586i | ||||||||
\(43\) | 1.33679e8 | − | 6.11669e7i | 0.909329 | − | 0.416077i | ||||
\(44\) | −6.39318e8 | −3.87662 | ||||||||
\(45\) | − | 5.29439e8i | − | 2.86915i | ||||||
\(46\) | 5.76499e7 | − | 3.32842e7i | 0.279904 | − | 0.161603i | ||||
\(47\) | −1.13451e8 | −0.494675 | −0.247338 | − | 0.968929i | \(-0.579556\pi\) | ||||
−0.247338 | + | 0.968929i | \(0.579556\pi\) | |||||||
\(48\) | 8.14824e8 | − | 4.70439e8i | 3.19784 | − | 1.84628i | ||||
\(49\) | 2.10786e8 | + | 3.65092e8i | 0.746211 | + | 1.29248i | ||||
\(50\) | −6.24966e8 | − | 3.60824e8i | −1.99989 | − | 1.15464i | ||||
\(51\) | − | 1.26142e8i | − | 0.365602i | ||||||
\(52\) | 3.29752e7 | − | 5.71148e7i | 0.0867304 | − | 0.150221i | ||||
\(53\) | 1.05601e8 | + | 1.82907e8i | 0.252517 | + | 0.437372i | 0.964218 | − | 0.265111i | \(-0.0854084\pi\) |
−0.711701 | + | 0.702482i | \(0.752075\pi\) | |||||||
\(54\) | −1.30037e9 | −2.83203 | ||||||||
\(55\) | 1.08226e9 | − | 6.24843e8i | 2.15039 | − | 1.24153i | ||||
\(56\) | 1.07237e9 | − | 1.85739e9i | 1.94717 | − | 3.37259i | ||||
\(57\) | −4.69316e8 | + | 8.12878e8i | −0.779993 | + | 1.35099i | ||||
\(58\) | 3.11430e8 | − | 5.39413e8i | 0.474483 | − | 0.821829i | ||||
\(59\) | 4.39483e8 | 0.614727 | 0.307364 | − | 0.951592i | \(-0.400553\pi\) | ||||
0.307364 | + | 0.951592i | \(0.400553\pi\) | |||||||
\(60\) | −2.34135e9 | + | 4.05534e9i | −3.01100 | + | 5.21520i | ||||
\(61\) | −3.22959e8 | − | 1.86460e8i | −0.382382 | − | 0.220768i | 0.296472 | − | 0.955042i | \(-0.404190\pi\) |
−0.678854 | + | 0.734273i | \(0.737523\pi\) | |||||||
\(62\) | 2.34056e9 | − | 1.35132e9i | 2.55483 | − | 1.47503i | ||||
\(63\) | −2.58849e9 | + | 1.49446e9i | −2.60822 | + | 1.50585i | ||||
\(64\) | −6.13309e8 | −0.571189 | ||||||||
\(65\) | 1.28915e8i | 0.111105i | ||||||||
\(66\) | −3.22550e9 | − | 5.58674e9i | −2.57560 | − | 4.46106i | ||||
\(67\) | −4.08051e8 | − | 7.06766e8i | −0.302232 | − | 0.523482i | 0.674409 | − | 0.738358i | \(-0.264399\pi\) |
−0.976641 | + | 0.214876i | \(0.931065\pi\) | |||||||
\(68\) | −3.65989e8 | + | 6.33912e8i | −0.251723 | + | 0.435998i | ||||
\(69\) | 4.07969e8 | + | 2.35541e8i | 0.260845 | + | 0.150599i | ||||
\(70\) | 7.30216e9i | 4.34471i | ||||||||
\(71\) | 1.79664e9 | + | 1.03729e9i | 0.995794 | + | 0.574922i | 0.907001 | − | 0.421128i | \(-0.138366\pi\) |
0.0887930 | + | 0.996050i | \(0.471699\pi\) | |||||||
\(72\) | 7.88529e9 | + | 4.55257e9i | 4.07526 | + | 2.35285i | ||||
\(73\) | −2.67649e9 | − | 1.54527e9i | −1.29107 | − | 0.745402i | −0.312229 | − | 0.950007i | \(-0.601076\pi\) |
−0.978845 | + | 0.204605i | \(0.934409\pi\) | |||||||
\(74\) | −1.04552e9 | − | 1.81090e9i | −0.471166 | − | 0.816084i | ||||
\(75\) | − | 5.10687e9i | − | 2.15203i | ||||||
\(76\) | 4.71698e9 | − | 2.72335e9i | 1.86036 | − | 1.07408i | ||||
\(77\) | −6.10986e9 | − | 3.52753e9i | −2.25724 | − | 1.30322i | ||||
\(78\) | 6.65470e8 | 0.230492 | ||||||||
\(79\) | 1.38786e9 | − | 2.40384e9i | 0.451034 | − | 0.781213i | −0.547417 | − | 0.836860i | \(-0.684389\pi\) |
0.998451 | + | 0.0556468i | \(0.0177221\pi\) | |||||||
\(80\) | 9.24243e9 | − | 5.33612e9i | 2.82057 | − | 1.62845i | ||||
\(81\) | −1.27533e9 | − | 2.20893e9i | −0.365761 | − | 0.633516i | ||||
\(82\) | 1.63271e9i | 0.440392i | ||||||||
\(83\) | −6.17625e8 | − | 1.06976e9i | −0.156796 | − | 0.271578i | 0.776916 | − | 0.629605i | \(-0.216783\pi\) |
−0.933712 | + | 0.358026i | \(0.883450\pi\) | |||||||
\(84\) | 2.64360e10 | 6.32121 | ||||||||
\(85\) | − | 1.43081e9i | − | 0.322469i | ||||||
\(86\) | −3.58151e9 | − | 7.82731e9i | −0.761331 | − | 1.66387i | ||||
\(87\) | 4.40778e9 | 0.884349 | ||||||||
\(88\) | 2.14918e10i | 4.07248i | ||||||||
\(89\) | −8.45757e9 | + | 4.88298e9i | −1.51459 | + | 0.874450i | −0.514738 | + | 0.857347i | \(0.672111\pi\) |
−0.999854 | + | 0.0171027i | \(0.994556\pi\) | |||||||
\(90\) | −3.10002e10 | −5.24992 | ||||||||
\(91\) | 6.30279e8 | − | 3.63892e8i | 0.101001 | − | 0.0583129i | ||||
\(92\) | −1.36680e9 | − | 2.36737e9i | −0.207380 | − | 0.359192i | ||||
\(93\) | 1.65634e10 | + | 9.56288e9i | 2.38086 | + | 1.37459i | ||||
\(94\) | 6.64292e9i | 0.905148i | ||||||||
\(95\) | −5.32338e9 | + | 9.22037e9i | −0.687970 | + | 1.19160i | ||||
\(96\) | −1.03973e10 | − | 1.80087e10i | −1.27516 | − | 2.20865i | ||||
\(97\) | −1.51315e10 | −1.76208 | −0.881038 | − | 0.473045i | \(-0.843155\pi\) | ||||
−0.881038 | + | 0.473045i | \(0.843155\pi\) | |||||||
\(98\) | 2.13773e10 | − | 1.23422e10i | 2.36495 | − | 1.36540i | ||||
\(99\) | 1.49756e10 | − | 2.59385e10i | 1.57474 | − | 2.72753i | ||||
\(100\) | −1.48171e10 | + | 2.56640e10i | −1.48171 | + | 2.56640i | ||||
\(101\) | 7.74194e9 | − | 1.34094e10i | 0.736619 | − | 1.27586i | −0.217390 | − | 0.976085i | \(-0.569754\pi\) |
0.954009 | − | 0.299777i | \(-0.0969123\pi\) | |||||||
\(102\) | −7.38599e9 | −0.668972 | ||||||||
\(103\) | 3.37323e9 | − | 5.84260e9i | 0.290978 | − | 0.503988i | −0.683064 | − | 0.730359i | \(-0.739353\pi\) |
0.974041 | + | 0.226371i | \(0.0726862\pi\) | |||||||
\(104\) | −1.92001e9 | − | 1.10852e9i | −0.157811 | − | 0.0911122i | ||||
\(105\) | −4.47519e10 | + | 2.58375e10i | −3.50643 | + | 2.02444i | ||||
\(106\) | 1.07097e10 | − | 6.18328e9i | 0.800295 | − | 0.462050i | ||||
\(107\) | −1.36781e10 | −0.975229 | −0.487615 | − | 0.873059i | \(-0.662133\pi\) | ||||
−0.487615 | + | 0.873059i | \(0.662133\pi\) | |||||||
\(108\) | 5.33991e10i | 3.63425i | ||||||||
\(109\) | 6.65992e9 | + | 1.15353e10i | 0.432849 | + | 0.749717i | 0.997117 | − | 0.0758747i | \(-0.0241749\pi\) |
−0.564268 | + | 0.825592i | \(0.690842\pi\) | |||||||
\(110\) | −3.65864e10 | − | 6.33696e10i | −2.27173 | − | 3.93475i | ||||
\(111\) | 7.39881e9 | − | 1.28151e10i | 0.439083 | − | 0.760515i | ||||
\(112\) | −5.21778e10 | − | 3.01249e10i | −2.96071 | − | 1.70937i | ||||
\(113\) | 2.57338e10i | 1.39673i | 0.715742 | + | 0.698365i | \(0.246089\pi\) | ||||
−0.715742 | + | 0.698365i | \(0.753911\pi\) | |||||||
\(114\) | 4.75965e10 | + | 2.74798e10i | 2.47201 | + | 1.42722i | ||||
\(115\) | 4.62754e9 | + | 2.67171e9i | 0.230071 | + | 0.132831i | ||||
\(116\) | −2.21508e10 | − | 1.27888e10i | −1.05463 | − | 0.608889i | ||||
\(117\) | 1.54485e9 | + | 2.67575e9i | 0.0704622 | + | 0.122044i | ||||
\(118\) | − | 2.57331e10i | − | 1.12482i | ||||||
\(119\) | −6.99540e9 | + | 4.03880e9i | −0.293142 | + | 0.169246i | ||||
\(120\) | 1.36327e11 | + | 7.87085e10i | 5.47868 | + | 3.16312i | ||||
\(121\) | 4.47593e10 | 1.72567 | ||||||||
\(122\) | −1.09178e10 | + | 1.89102e10i | −0.403958 | + | 0.699676i | ||||
\(123\) | −1.00062e10 | + | 5.77707e9i | −0.355421 | + | 0.205202i | ||||
\(124\) | −5.54916e10 | − | 9.61143e10i | −1.89286 | − | 3.27853i | ||||
\(125\) | − | 1.20277e10i | − | 0.394125i | ||||||
\(126\) | 8.75054e10 | + | 1.51564e11i | 2.75539 | + | 4.77247i | ||||
\(127\) | −3.44234e10 | −1.04192 | −0.520960 | − | 0.853581i | \(-0.674426\pi\) | ||||
−0.520960 | + | 0.853581i | \(0.674426\pi\) | |||||||
\(128\) | − | 1.54782e10i | − | 0.450476i | ||||||
\(129\) | 3.52977e10 | − | 4.96452e10i | 0.988094 | − | 1.38972i | ||||
\(130\) | 7.54834e9 | 0.203299 | ||||||||
\(131\) | 1.42602e9i | 0.0369633i | 0.999829 | + | 0.0184816i | \(0.00588322\pi\) | ||||
−0.999829 | + | 0.0184816i | \(0.994117\pi\) | |||||||
\(132\) | −2.29417e11 | + | 1.32454e11i | −5.72474 | + | 3.30518i | ||||
\(133\) | 6.01060e10 | 1.44431 | ||||||||
\(134\) | −4.13833e10 | + | 2.38926e10i | −0.957858 | + | 0.553019i | ||||
\(135\) | −5.21901e10 | − | 9.03958e10i | −1.16391 | − | 2.01595i | ||||
\(136\) | 2.13100e10 | + | 1.23033e10i | 0.458025 | + | 0.264441i | ||||
\(137\) | 1.82351e10i | 0.377837i | 0.981993 | + | 0.188919i | \(0.0604982\pi\) | ||||
−0.981993 | + | 0.188919i | \(0.939502\pi\) | |||||||
\(138\) | 1.37917e10 | − | 2.38878e10i | 0.275563 | − | 0.477289i | ||||
\(139\) | −2.98866e10 | − | 5.17651e10i | −0.575974 | − | 0.997615i | −0.995935 | − | 0.0900736i | \(-0.971290\pi\) |
0.419962 | − | 0.907542i | \(-0.362044\pi\) | |||||||
\(140\) | 2.99860e11 | 5.57544 | ||||||||
\(141\) | −4.07116e10 | + | 2.35049e10i | −0.730505 | + | 0.421757i | ||||
\(142\) | 6.07365e10 | − | 1.05199e11i | 1.05198 | − | 1.82209i | ||||
\(143\) | −3.64645e9 | + | 6.31584e9i | −0.0609804 | + | 0.105621i | ||||
\(144\) | 1.27891e11 | − | 2.21513e11i | 2.06551 | − | 3.57756i | ||||
\(145\) | 4.99968e10 | 0.780014 | ||||||||
\(146\) | −9.04803e10 | + | 1.56716e11i | −1.36392 | + | 2.36238i | ||||
\(147\) | 1.51280e11 | + | 8.73415e10i | 2.20391 | + | 1.27243i | ||||
\(148\) | −7.43637e10 | + | 4.29339e10i | −1.04725 | + | 0.604633i | ||||
\(149\) | 6.21617e10 | − | 3.58891e10i | 0.846432 | − | 0.488687i | −0.0130137 | − | 0.999915i | \(-0.504143\pi\) |
0.859445 | + | 0.511228i | \(0.170809\pi\) | |||||||
\(150\) | −2.99023e11 | −3.93775 | ||||||||
\(151\) | − | 6.99822e10i | − | 0.891462i | −0.895167 | − | 0.445731i | \(-0.852944\pi\) | ||
0.895167 | − | 0.445731i | \(-0.147056\pi\) | |||||||
\(152\) | −9.15501e10 | − | 1.58569e11i | −1.12834 | − | 1.95435i | ||||
\(153\) | −1.71461e10 | − | 2.96979e10i | −0.204507 | − | 0.354217i | ||||
\(154\) | −2.06548e11 | + | 3.57751e11i | −2.38461 | + | 4.13026i | ||||
\(155\) | 1.87876e11 | + | 1.08470e11i | 2.09997 | + | 1.21242i | ||||
\(156\) | − | 2.73273e10i | − | 0.295783i | ||||||
\(157\) | −8.44822e10 | − | 4.87758e10i | −0.885660 | − | 0.511336i | −0.0131394 | − | 0.999914i | \(-0.504183\pi\) |
−0.872520 | + | 0.488578i | \(0.837516\pi\) | |||||||
\(158\) | −1.40752e11 | − | 8.12632e10i | −1.42945 | − | 0.825293i | ||||
\(159\) | 7.57894e10 | + | 4.37570e10i | 0.745801 | + | 0.430588i | ||||
\(160\) | −1.17935e11 | − | 2.04270e11i | −1.12472 | − | 1.94807i | ||||
\(161\) | − | 3.01661e10i | − | 0.278863i | ||||||
\(162\) | −1.29340e11 | + | 7.46743e10i | −1.15920 | + | 0.669262i | ||||
\(163\) | 1.48355e10 | + | 8.56529e9i | 0.128933 | + | 0.0744396i | 0.563079 | − | 0.826403i | \(-0.309617\pi\) |
−0.434146 | + | 0.900842i | \(0.642950\pi\) | |||||||
\(164\) | 6.70465e10 | 0.565141 | ||||||||
\(165\) | 2.58910e11 | − | 4.48446e11i | 2.11704 | − | 3.66682i | ||||
\(166\) | −6.26376e10 | + | 3.61638e10i | −0.496929 | + | 0.286902i | ||||
\(167\) | −2.66532e9 | − | 4.61647e9i | −0.0205195 | − | 0.0355408i | 0.855583 | − | 0.517665i | \(-0.173199\pi\) |
−0.876103 | + | 0.482124i | \(0.839865\pi\) | |||||||
\(168\) | − | 8.88693e11i | − | 6.64057i | ||||||
\(169\) | 6.85531e10 | + | 1.18737e11i | 0.497271 | + | 0.861299i | ||||
\(170\) | −8.37783e10 | −0.590047 | ||||||||
\(171\) | 2.55171e11i | 1.74522i | ||||||||
\(172\) | −3.21426e11 | + | 1.47073e11i | −2.13520 | + | 0.976992i | ||||
\(173\) | 1.99316e10 | 0.128621 | 0.0643106 | − | 0.997930i | \(-0.479515\pi\) | ||||
0.0643106 | + | 0.997930i | \(0.479515\pi\) | |||||||
\(174\) | − | 2.58089e11i | − | 1.61817i | ||||||
\(175\) | −2.83210e11 | + | 1.63511e11i | −1.72551 | + | 0.996224i | ||||
\(176\) | 6.03746e11 | 3.57512 | ||||||||
\(177\) | 1.57707e11 | − | 9.10523e10i | 0.907790 | − | 0.524113i | ||||
\(178\) | 2.85913e11 | + | 4.95216e11i | 1.60005 | + | 2.77137i | ||||
\(179\) | 1.53584e11 | + | 8.86716e10i | 0.835757 | + | 0.482525i | 0.855820 | − | 0.517274i | \(-0.173053\pi\) |
−0.0200626 | + | 0.999799i | \(0.506387\pi\) | |||||||
\(180\) | 1.27301e12i | 6.73706i | ||||||||
\(181\) | 7.82896e10 | − | 1.35602e11i | 0.403006 | − | 0.698026i | −0.591081 | − | 0.806612i | \(-0.701299\pi\) |
0.994087 | + | 0.108586i | \(0.0346322\pi\) | |||||||
\(182\) | −2.13070e10 | − | 3.69047e10i | −0.106700 | − | 0.184810i | ||||
\(183\) | −1.54524e11 | −0.752903 | ||||||||
\(184\) | −7.95832e10 | + | 4.59474e10i | −0.377339 | + | 0.217857i | ||||
\(185\) | 8.39237e10 | − | 1.45360e11i | 0.387281 | − | 0.670790i | ||||
\(186\) | 5.59936e11 | − | 9.69837e11i | 2.51520 | − | 4.35646i | ||||
\(187\) | 4.04716e10 | − | 7.00989e10i | 0.176988 | − | 0.306551i | ||||
\(188\) | 2.72789e11 | 1.16155 | ||||||||
\(189\) | −2.94637e11 | + | 5.10327e11i | −1.22174 | + | 2.11612i | ||||
\(190\) | 5.39880e11 | + | 3.11700e11i | 2.18037 | + | 1.25884i | ||||
\(191\) | −6.41419e10 | + | 3.70323e10i | −0.252333 | + | 0.145685i | −0.620832 | − | 0.783943i | \(-0.713205\pi\) |
0.368499 | + | 0.929628i | \(0.379872\pi\) | |||||||
\(192\) | −2.20084e11 | + | 1.27066e11i | −0.843495 | + | 0.486992i | ||||
\(193\) | 1.38145e11 | 0.515880 | 0.257940 | − | 0.966161i | \(-0.416956\pi\) | ||||
0.257940 | + | 0.966161i | \(0.416956\pi\) | |||||||
\(194\) | 8.85998e11i | 3.22422i | ||||||||
\(195\) | 2.67086e10 | + | 4.62606e10i | 0.0947278 | + | 0.164073i | ||||
\(196\) | −5.06826e11 | − | 8.77849e11i | −1.75218 | − | 3.03486i | ||||
\(197\) | −2.93642e10 | + | 5.08602e10i | −0.0989661 | + | 0.171414i | −0.911257 | − | 0.411838i | \(-0.864887\pi\) |
0.812291 | + | 0.583253i | \(0.198220\pi\) | |||||||
\(198\) | −1.51878e12 | − | 8.76867e11i | −4.99078 | − | 2.88143i | ||||
\(199\) | − | 5.91288e11i | − | 1.89467i | −0.320242 | − | 0.947336i | \(-0.603764\pi\) | ||
0.320242 | − | 0.947336i | \(-0.396236\pi\) | |||||||
\(200\) | 8.62738e11 | + | 4.98102e11i | 2.69606 | + | 1.55657i | ||||
\(201\) | −2.92856e11 | − | 1.69080e11i | −0.892635 | − | 0.515363i | ||||
\(202\) | −7.85163e11 | − | 4.53314e11i | −2.33455 | − | 1.34785i | ||||
\(203\) | −1.41128e11 | − | 2.44440e11i | −0.409385 | − | 0.709076i | ||||
\(204\) | 3.03303e11i | 0.858471i | ||||||||
\(205\) | −1.13499e11 | + | 6.55285e10i | −0.313488 | + | 0.180993i | ||||
\(206\) | −3.42102e11 | − | 1.97513e11i | −0.922188 | − | 0.532426i | ||||
\(207\) | 1.28066e11 | 0.336962 | ||||||||
\(208\) | −3.11405e10 | + | 5.39369e10i | −0.0799850 | + | 0.138538i | ||||
\(209\) | −5.21611e11 | + | 3.01152e11i | −1.30802 | + | 0.755188i | ||||
\(210\) | 1.51286e12 | + | 2.62036e12i | 3.70428 | + | 6.41600i | ||||
\(211\) | 7.08997e11i | 1.69524i | 0.530601 | + | 0.847622i | \(0.321966\pi\) | ||||
−0.530601 | + | 0.847622i | \(0.678034\pi\) | |||||||
\(212\) | −2.53914e11 | − | 4.39792e11i | −0.592935 | − | 1.02699i | ||||
\(213\) | 8.59625e11 | 1.96070 | ||||||||
\(214\) | 8.00894e11i | 1.78446i | ||||||||
\(215\) | 4.00377e11 | − | 5.63119e11i | 0.871520 | − | 1.22577i | ||||
\(216\) | 1.79510e12 | 3.81786 | ||||||||
\(217\) | − | 1.22473e12i | − | 2.54532i | ||||||
\(218\) | 6.75428e11 | − | 3.89959e11i | 1.37182 | − | 0.792020i | ||||
\(219\) | −1.28060e12 | −2.54210 | ||||||||
\(220\) | −2.60225e12 | + | 1.50241e12i | −5.04934 | + | 2.91524i | ||||
\(221\) | 4.17496e9 | + | 7.23124e9i | 0.00791937 | + | 0.0137168i | ||||
\(222\) | −7.50364e11 | − | 4.33223e11i | −1.39158 | − | 0.803427i | ||||
\(223\) | 5.78319e11i | 1.04868i | 0.851509 | + | 0.524341i | \(0.175688\pi\) | ||||
−0.851509 | + | 0.524341i | \(0.824312\pi\) | |||||||
\(224\) | −6.65801e11 | + | 1.15320e12i | −1.18060 | + | 2.04487i | ||||
\(225\) | −6.94162e11 | − | 1.20232e12i | −1.20378 | − | 2.08501i | ||||
\(226\) | 1.50679e12 | 2.55571 | ||||||||
\(227\) | 2.58581e11 | − | 1.49292e11i | 0.429009 | − | 0.247689i | −0.269915 | − | 0.962884i | \(-0.586996\pi\) |
0.698925 | + | 0.715195i | \(0.253662\pi\) | |||||||
\(228\) | 1.12845e12 | − | 1.95453e12i | 1.83150 | − | 3.17226i | ||||
\(229\) | −1.16748e11 | + | 2.02213e11i | −0.185383 | + | 0.321093i | −0.943706 | − | 0.330786i | \(-0.892686\pi\) |
0.758322 | + | 0.651880i | \(0.226019\pi\) | |||||||
\(230\) | 1.56437e11 | − | 2.70956e11i | 0.243052 | − | 0.420979i | ||||
\(231\) | −2.92334e12 | −4.44446 | ||||||||
\(232\) | −4.29916e11 | + | 7.44636e11i | −0.639652 | + | 1.10791i | ||||
\(233\) | 5.16384e11 | + | 2.98134e11i | 0.751957 | + | 0.434143i | 0.826401 | − | 0.563083i | \(-0.190385\pi\) |
−0.0744435 | + | 0.997225i | \(0.523718\pi\) | |||||||
\(234\) | 1.56674e11 | − | 9.04555e10i | 0.223314 | − | 0.128931i | ||||
\(235\) | −4.61786e11 | + | 2.66613e11i | −0.644320 | + | 0.371999i | ||||
\(236\) | −1.05672e12 | −1.44344 | ||||||||
\(237\) | − | 1.15015e12i | − | 1.53819i | ||||||
\(238\) | 2.36484e11 | + | 4.09602e11i | 0.309682 | + | 0.536386i | ||||
\(239\) | 1.20268e11 | + | 2.08311e11i | 0.154228 | + | 0.267130i | 0.932778 | − | 0.360453i | \(-0.117378\pi\) |
−0.778550 | + | 0.627583i | \(0.784044\pi\) | |||||||
\(240\) | 2.21108e12 | − | 3.82970e12i | 2.77682 | − | 4.80959i | ||||
\(241\) | 8.14332e11 | + | 4.70155e11i | 1.00165 | + | 0.578304i | 0.908736 | − | 0.417370i | \(-0.137048\pi\) |
0.0929148 | + | 0.995674i | \(0.470382\pi\) | |||||||
\(242\) | − | 2.62079e12i | − | 3.15759i | ||||||
\(243\) | 2.20395e11 | + | 1.27245e11i | 0.260118 | + | 0.150179i | ||||
\(244\) | 7.76540e11 | + | 4.48335e11i | 0.897872 | + | 0.518387i | ||||
\(245\) | 1.71595e12 | + | 9.90702e11i | 1.94390 | + | 1.12231i | ||||
\(246\) | 3.38265e11 | + | 5.85892e11i | 0.375475 | + | 0.650342i | ||||
\(247\) | − | 6.21323e10i | − | 0.0675823i | ||||||
\(248\) | −3.23104e12 | + | 1.86544e12i | −3.44417 | + | 1.98849i | ||||
\(249\) | −4.43266e11 | − | 2.55920e11i | −0.463092 | − | 0.267366i | ||||
\(250\) | −7.04261e11 | −0.721163 | ||||||||
\(251\) | 8.83410e9 | − | 1.53011e10i | 0.00886734 | − | 0.0153587i | −0.861558 | − | 0.507660i | \(-0.830511\pi\) |
0.870425 | + | 0.492301i | \(0.163844\pi\) | |||||||
\(252\) | 6.22391e12 | − | 3.59338e12i | 6.12436 | − | 3.53590i | ||||
\(253\) | 1.51143e11 | + | 2.61787e11i | 0.145809 | + | 0.252549i | ||||
\(254\) | 2.01559e12i | 1.90649i | ||||||||
\(255\) | −2.96436e11 | − | 5.13442e11i | −0.274935 | − | 0.476201i | ||||
\(256\) | −1.53433e12 | −1.39546 | ||||||||
\(257\) | 1.33799e12i | 1.19340i | 0.802463 | + | 0.596702i | \(0.203523\pi\) | ||||
−0.802463 | + | 0.596702i | \(0.796477\pi\) | |||||||
\(258\) | −2.90688e12 | − | 2.06679e12i | −2.54289 | − | 1.80800i | ||||
\(259\) | −9.47577e11 | −0.813047 | ||||||||
\(260\) | − | 3.09970e11i | − | 0.260887i | ||||||
\(261\) | 1.03774e12 | − | 5.99137e11i | 0.856809 | − | 0.494679i | ||||
\(262\) | 8.34980e10 | 0.0676347 | ||||||||
\(263\) | −3.73175e11 | + | 2.15453e11i | −0.296575 | + | 0.171227i | −0.640903 | − | 0.767622i | \(-0.721440\pi\) |
0.344328 | + | 0.938849i | \(0.388107\pi\) | |||||||
\(264\) | 4.45267e12 | + | 7.71225e12i | 3.47217 | + | 6.01397i | ||||
\(265\) | 8.59668e11 | + | 4.96330e11i | 0.657812 | + | 0.379788i | ||||
\(266\) | − | 3.51939e12i | − | 2.64277i | ||||||
\(267\) | −2.02332e12 | + | 3.50448e12i | −1.49110 | + | 2.58266i | ||||
\(268\) | 9.81142e11 | + | 1.69939e12i | 0.709672 | + | 1.22919i | ||||
\(269\) | 2.12381e12 | 1.50784 | 0.753920 | − | 0.656967i | \(-0.228161\pi\) | ||||
0.753920 | + | 0.656967i | \(0.228161\pi\) | |||||||
\(270\) | −5.29295e12 | + | 3.05589e12i | −3.68875 | + | 2.12970i | ||||
\(271\) | 1.03418e12 | − | 1.79126e12i | 0.707541 | − | 1.22550i | −0.258226 | − | 0.966085i | \(-0.583138\pi\) |
0.965767 | − | 0.259412i | \(-0.0835288\pi\) | |||||||
\(272\) | 3.45625e11 | − | 5.98641e11i | 0.232146 | − | 0.402088i | ||||
\(273\) | 1.50782e11 | − | 2.61163e11i | 0.0994345 | − | 0.172226i | ||||
\(274\) | 1.06772e12 | 0.691359 | ||||||||
\(275\) | 1.63850e12 | − | 2.83796e12i | 1.04180 | − | 1.80444i | ||||
\(276\) | −9.80945e11 | − | 5.66349e11i | −0.612490 | − | 0.353621i | ||||
\(277\) | 3.69043e11 | − | 2.13067e11i | 0.226297 | − | 0.130652i | −0.382566 | − | 0.923928i | \(-0.624959\pi\) |
0.608862 | + | 0.793276i | \(0.291626\pi\) | |||||||
\(278\) | −3.03100e12 | + | 1.74995e12i | −1.82542 | + | 1.05391i | ||||
\(279\) | 5.19942e12 | 3.07563 | ||||||||
\(280\) | − | 1.00803e13i | − | 5.85712i | ||||||
\(281\) | 1.43414e11 | + | 2.48400e11i | 0.0818576 | + | 0.141781i | 0.904048 | − | 0.427431i | \(-0.140581\pi\) |
−0.822190 | + | 0.569213i | \(0.807248\pi\) | |||||||
\(282\) | 1.37628e12 | + | 2.38379e12i | 0.771724 | + | 1.33666i | ||||
\(283\) | −4.71196e11 | + | 8.16135e11i | −0.259579 | + | 0.449604i | −0.966129 | − | 0.258059i | \(-0.916917\pi\) |
0.706550 | + | 0.707663i | \(0.250250\pi\) | |||||||
\(284\) | −4.31995e12 | − | 2.49412e12i | −2.33823 | − | 1.34998i | ||||
\(285\) | 4.41160e12i | 2.34624i | ||||||||
\(286\) | 3.69812e11 | + | 2.13511e11i | 0.193264 | + | 0.111581i | ||||
\(287\) | 6.40753e11 | + | 3.69939e11i | 0.329065 | + | 0.189986i | ||||
\(288\) | −4.89574e12 | − | 2.82656e12i | −2.47090 | − | 1.42658i | ||||
\(289\) | 9.61660e11 | + | 1.66564e12i | 0.477015 | + | 0.826214i | ||||
\(290\) | − | 2.92746e12i | − | 1.42726i | ||||||
\(291\) | −5.42991e12 | + | 3.13496e12i | −2.60212 | + | 1.50234i | ||||
\(292\) | 6.43550e12 | + | 3.71554e12i | 3.03157 | + | 1.75028i | ||||
\(293\) | −3.05780e12 | −1.41602 | −0.708012 | − | 0.706200i | \(-0.750408\pi\) | ||||
−0.708012 | + | 0.706200i | \(0.750408\pi\) | |||||||
\(294\) | 5.11411e12 | − | 8.85790e12i | 2.32827 | − | 4.03268i | ||||
\(295\) | 1.78885e12 | − | 1.03279e12i | 0.800689 | − | 0.462278i | ||||
\(296\) | 1.44330e12 | + | 2.49986e12i | 0.635180 | + | 1.10016i | ||||
\(297\) | − | 5.90495e12i | − | 2.55525i | ||||||
\(298\) | −2.10142e12 | − | 3.63976e12i | −0.894192 | − | 1.54879i | ||||
\(299\) | −3.11831e10 | −0.0130486 | ||||||||
\(300\) | 1.22792e13i | 5.05319i | ||||||||
\(301\) | −3.88331e12 | − | 3.67958e11i | −1.57170 | − | 0.148924i | ||||
\(302\) | −4.09767e12 | −1.63118 | ||||||||
\(303\) | − | 6.41591e12i | − | 2.51215i | ||||||
\(304\) | −4.45453e12 | + | 2.57182e12i | −1.71567 | + | 0.990542i | ||||
\(305\) | −1.75274e12 | −0.664076 | ||||||||
\(306\) | −1.73890e12 | + | 1.00396e12i | −0.648140 | + | 0.374204i | ||||
\(307\) | −1.95956e12 | − | 3.39405e12i | −0.718565 | − | 1.24459i | −0.961568 | − | 0.274566i | \(-0.911466\pi\) |
0.243003 | − | 0.970026i | \(-0.421868\pi\) | |||||||
\(308\) | 1.46909e13 | + | 8.48179e12i | 5.30023 | + | 3.06009i | ||||
\(309\) | − | 2.79547e12i | − | 0.992343i | ||||||
\(310\) | 6.35127e12 | − | 1.10007e13i | 2.21846 | − | 3.84249i | ||||
\(311\) | −8.48561e11 | − | 1.46975e12i | −0.291663 | − | 0.505175i | 0.682540 | − | 0.730848i | \(-0.260875\pi\) |
−0.974203 | + | 0.225673i | \(0.927542\pi\) | |||||||
\(312\) | −9.18653e11 | −0.310727 | ||||||||
\(313\) | 7.03719e11 | − | 4.06292e11i | 0.234249 | − | 0.135244i | −0.378282 | − | 0.925690i | \(-0.623485\pi\) |
0.612531 | + | 0.790447i | \(0.290152\pi\) | |||||||
\(314\) | −2.85597e12 | + | 4.94669e12i | −0.935633 | + | 1.62056i | ||||
\(315\) | −7.02404e12 | + | 1.21660e13i | −2.26482 | + | 3.92279i | ||||
\(316\) | −3.33704e12 | + | 5.77992e12i | −1.05907 | + | 1.83437i | ||||
\(317\) | 5.94043e12 | 1.85576 | 0.927879 | − | 0.372882i | \(-0.121630\pi\) | ||||
0.927879 | + | 0.372882i | \(0.121630\pi\) | |||||||
\(318\) | 2.56211e12 | − | 4.43770e12i | 0.787883 | − | 1.36465i | ||||
\(319\) | 2.44947e12 | + | 1.41420e12i | 0.741512 | + | 0.428112i | ||||
\(320\) | −2.49638e12 | + | 1.44129e12i | −0.743980 | + | 0.429537i | ||||
\(321\) | −4.90834e12 | + | 2.83383e12i | −1.44016 | + | 0.831475i | ||||
\(322\) | −1.76632e12 | −0.510258 | ||||||||
\(323\) | 6.89600e11i | 0.196148i | ||||||||
\(324\) | 3.06647e12 | + | 5.31129e12i | 0.858843 | + | 1.48756i | ||||
\(325\) | 1.69024e11 | + | 2.92757e11i | 0.0466155 | + | 0.0807404i | ||||
\(326\) | 5.01523e11 | − | 8.68664e11i | 0.136208 | − | 0.235920i | ||||
\(327\) | 4.77978e12 | + | 2.75961e12i | 1.27841 | + | 0.738089i | ||||
\(328\) | − | 2.25388e12i | − | 0.593693i | ||||||
\(329\) | 2.60700e12 | + | 1.50515e12i | 0.676335 | + | 0.390482i | ||||
\(330\) | −2.62579e13 | − | 1.51600e13i | −6.70949 | − | 3.87373i | ||||
\(331\) | 5.67691e11 | + | 3.27757e11i | 0.142880 | + | 0.0824919i | 0.569736 | − | 0.821828i | \(-0.307045\pi\) |
−0.426856 | + | 0.904320i | \(0.640379\pi\) | |||||||
\(332\) | 1.48505e12 | + | 2.57219e12i | 0.368173 | + | 0.637694i | ||||
\(333\) | − | 4.02280e12i | − | 0.982442i | ||||||
\(334\) | −2.70308e11 | + | 1.56063e11i | −0.0650320 | + | 0.0375462i | ||||
\(335\) | −3.32182e12 | − | 1.91786e12i | −0.787322 | − | 0.454561i | ||||
\(336\) | −2.49651e13 | −5.82958 | ||||||||
\(337\) | −1.55580e12 | + | 2.69472e12i | −0.357935 | + | 0.619962i | −0.987616 | − | 0.156892i | \(-0.949852\pi\) |
0.629681 | + | 0.776854i | \(0.283186\pi\) | |||||||
\(338\) | 6.95244e12 | − | 4.01399e12i | 1.57599 | − | 0.909898i | ||||
\(339\) | 5.33154e12 | + | 9.23451e12i | 1.19084 | + | 2.06260i | ||||
\(340\) | 3.44032e12i | 0.757189i | ||||||||
\(341\) | 6.13635e12 | + | 1.06285e13i | 1.33088 | + | 2.30515i | ||||
\(342\) | 1.49410e13 | 3.19338 | ||||||||
\(343\) | − | 3.69079e12i | − | 0.777407i | ||||||
\(344\) | 4.94411e12 | + | 1.08053e13i | 1.02635 | + | 2.24307i | ||||
\(345\) | 2.21410e12 | 0.453005 | ||||||||
\(346\) | − | 1.16706e12i | − | 0.235349i | ||||||
\(347\) | −5.07273e12 | + | 2.92874e12i | −1.00831 | + | 0.582149i | −0.910697 | − | 0.413076i | \(-0.864455\pi\) |
−0.0976145 | + | 0.995224i | \(0.531121\pi\) | |||||||
\(348\) | −1.05983e13 | −2.07654 | ||||||||
\(349\) | 6.72655e12 | − | 3.88357e12i | 1.29917 | − | 0.750075i | 0.318907 | − | 0.947786i | \(-0.396684\pi\) |
0.980260 | + | 0.197711i | \(0.0633509\pi\) | |||||||
\(350\) | 9.57407e12 | + | 1.65828e13i | 1.82287 | + | 3.15731i | ||||
\(351\) | 5.27531e11 | + | 3.04570e11i | 0.0990177 | + | 0.0571679i | ||||
\(352\) | − | 1.33436e13i | − | 2.46922i | ||||||
\(353\) | −4.46199e12 | + | 7.72839e12i | −0.814057 | + | 1.40999i | 0.0959460 | + | 0.995387i | \(0.469412\pi\) |
−0.910003 | + | 0.414602i | \(0.863921\pi\) | |||||||
\(354\) | −5.33139e12 | − | 9.23423e12i | −0.959012 | − | 1.66106i | ||||
\(355\) | 9.75061e12 | 1.72938 | ||||||||
\(356\) | 2.03359e13 | − | 1.17409e13i | 3.55642 | − | 2.05330i | ||||
\(357\) | −1.67352e12 | + | 2.89862e12i | −0.288595 | + | 0.499862i | ||||
\(358\) | 5.19199e12 | − | 8.99279e12i | 0.882915 | − | 1.52925i | ||||
\(359\) | −2.34119e12 | + | 4.05505e12i | −0.392612 | + | 0.680024i | −0.992793 | − | 0.119840i | \(-0.961762\pi\) |
0.600181 | + | 0.799864i | \(0.295095\pi\) | |||||||
\(360\) | 4.27945e13 | 7.07743 | ||||||||
\(361\) | −4.99850e11 | + | 8.65765e11i | −0.0815274 | + | 0.141210i | ||||
\(362\) | −7.93988e12 | − | 4.58409e12i | −1.27724 | − | 0.737412i | ||||
\(363\) | 1.60617e13 | − | 9.27325e12i | 2.54835 | − | 1.47129i | ||||
\(364\) | −1.51548e12 | + | 8.74961e11i | −0.237161 | + | 0.136925i | ||||
\(365\) | −1.45257e13 | −2.24218 | ||||||||
\(366\) | 9.04782e12i | 1.37765i | ||||||||
\(367\) | 1.37314e12 | + | 2.37835e12i | 0.206245 | + | 0.357228i | 0.950529 | − | 0.310636i | \(-0.100542\pi\) |
−0.744283 | + | 0.667864i | \(0.767209\pi\) | |||||||
\(368\) | 1.29075e12 | + | 2.23565e12i | 0.191251 | + | 0.331257i | ||||
\(369\) | −1.57052e12 | + | 2.72022e12i | −0.229568 | + | 0.397624i | ||||
\(370\) | −8.51127e12 | − | 4.91398e12i | −1.22740 | − | 0.708639i | ||||
\(371\) | − | 5.60403e12i | − | 0.797316i | ||||||
\(372\) | −3.98260e13 | − | 2.29935e13i | −5.59051 | − | 3.22768i | ||||
\(373\) | −5.37570e12 | − | 3.10366e12i | −0.744545 | − | 0.429863i | 0.0791747 | − | 0.996861i | \(-0.474772\pi\) |
−0.823719 | + | 0.566998i | \(0.808105\pi\) | |||||||
\(374\) | −4.10450e12 | − | 2.36974e12i | −0.560922 | − | 0.323849i | ||||
\(375\) | −2.49191e12 | − | 4.31612e12i | −0.336029 | − | 0.582019i | ||||
\(376\) | − | 9.17026e12i | − | 1.22023i | ||||||
\(377\) | −2.52681e11 | + | 1.45886e11i | −0.0331792 | + | 0.0191560i | ||||
\(378\) | 2.98812e13 | + | 1.72519e13i | 3.87203 | + | 2.23552i | ||||
\(379\) | 9.92750e12 | 1.26953 | 0.634766 | − | 0.772704i | \(-0.281096\pi\) | ||||
0.634766 | + | 0.772704i | \(0.281096\pi\) | |||||||
\(380\) | 1.27998e13 | − | 2.21700e13i | 1.61542 | − | 2.79800i | ||||
\(381\) | −1.23527e13 | + | 7.13184e12i | −1.53864 | + | 0.888335i | ||||
\(382\) | 2.16836e12 | + | 3.75570e12i | 0.266571 | + | 0.461715i | ||||
\(383\) | − | 3.81040e12i | − | 0.462356i | −0.972912 | − | 0.231178i | \(-0.925742\pi\) | ||
0.972912 | − | 0.231178i | \(-0.0742579\pi\) | |||||||
\(384\) | −3.20678e12 | − | 5.55431e12i | −0.384073 | − | 0.665233i | ||||
\(385\) | −3.31590e13 | −3.92011 | ||||||||
\(386\) | − | 8.08881e12i | − | 0.943948i | ||||||
\(387\) | 1.56211e12 | − | 1.64860e13i | 0.179952 | − | 1.89916i | ||||
\(388\) | 3.63832e13 | 4.13754 | ||||||||
\(389\) | 7.73681e12i | 0.868588i | 0.900771 | + | 0.434294i | \(0.143002\pi\) | ||||
−0.900771 | + | 0.434294i | \(0.856998\pi\) | |||||||
\(390\) | 2.70870e12 | − | 1.56387e12i | 0.300218 | − | 0.173331i | ||||
\(391\) | 3.46098e11 | 0.0378718 | ||||||||
\(392\) | −2.95104e13 | + | 1.70378e13i | −3.18819 | + | 1.84070i | ||||
\(393\) | 2.95444e11 | + | 5.11724e11i | 0.0315147 | + | 0.0545850i | ||||
\(394\) | 2.97802e12 | + | 1.71936e12i | 0.313651 | + | 0.181086i | ||||
\(395\) | − | 1.30459e13i | − | 1.35672i | ||||||
\(396\) | −3.60082e13 | + | 6.23680e13i | −3.69765 | + | 6.40451i | ||||
\(397\) | −5.72338e12 | − | 9.91319e12i | −0.580364 | − | 1.00522i | −0.995436 | − | 0.0954313i | \(-0.969577\pi\) |
0.415072 | − | 0.909789i | \(-0.363756\pi\) | |||||||
\(398\) | −3.46217e13 | −3.46684 | ||||||||
\(399\) | 2.15688e13 | − | 1.24528e13i | 2.13286 | − | 1.23141i | ||||
\(400\) | 1.39927e13 | − | 2.42360e13i | 1.36647 | − | 2.36680i | ||||
\(401\) | −5.47281e11 | + | 9.47919e11i | −0.0527823 | + | 0.0914217i | −0.891209 | − | 0.453592i | \(-0.850142\pi\) |
0.838427 | + | 0.545014i | \(0.183476\pi\) | |||||||
\(402\) | −9.90017e12 | + | 1.71476e13i | −0.943002 | + | 1.63333i | ||||
\(403\) | −1.26602e12 | −0.119101 | ||||||||
\(404\) | −1.86152e13 | + | 3.22424e13i | −1.72966 | + | 2.99585i | ||||
\(405\) | −1.03821e13 | − | 5.99409e12i | −0.952815 | − | 0.550108i | ||||
\(406\) | −1.43127e13 | + | 8.26345e12i | −1.29745 | + | 0.749086i | ||||
\(407\) | 8.22325e12 | − | 4.74770e12i | 0.736329 | − | 0.425119i | ||||
\(408\) | 1.01960e13 | 0.901843 | ||||||||
\(409\) | 9.67459e11i | 0.0845310i | 0.999106 | + | 0.0422655i | \(0.0134575\pi\) | ||||
−0.999106 | + | 0.0422655i | \(0.986542\pi\) | |||||||
\(410\) | 3.83689e12 | + | 6.64569e12i | 0.331177 | + | 0.573615i | ||||
\(411\) | 3.77795e12 | + | 6.54360e12i | 0.322142 | + | 0.557966i | ||||
\(412\) | −8.11078e12 | + | 1.40483e13i | −0.683245 | + | 1.18342i | ||||
\(413\) | −1.00989e13 | − | 5.83060e12i | −0.840473 | − | 0.485247i | ||||
\(414\) | − | 7.49864e12i | − | 0.616568i | ||||||
\(415\) | −5.02790e12 | − | 2.90286e12i | −0.408457 | − | 0.235823i | ||||
\(416\) | 1.19208e12 | + | 6.88247e11i | 0.0956837 | + | 0.0552430i | ||||
\(417\) | −2.14494e13 | − | 1.23838e13i | −1.70112 | − | 0.982143i | ||||
\(418\) | 1.76334e13 | + | 3.05419e13i | 1.38183 | + | 2.39340i | ||||
\(419\) | − | 1.02781e13i | − | 0.795872i | −0.917413 | − | 0.397936i | \(-0.869727\pi\) | ||
0.917413 | − | 0.397936i | \(-0.130273\pi\) | |||||||
\(420\) | 1.07604e14 | − | 6.21252e13i | 8.23345 | − | 4.75358i | ||||
\(421\) | 1.95082e13 | + | 1.12631e13i | 1.47505 | + | 0.851623i | 0.999605 | − | 0.0281206i | \(-0.00895226\pi\) |
0.475449 | + | 0.879743i | \(0.342286\pi\) | |||||||
\(422\) | 4.15139e13 | 3.10193 | ||||||||
\(423\) | −6.38990e12 | + | 1.10676e13i | −0.471837 | + | 0.817246i | ||||
\(424\) | −1.47843e13 | + | 8.53574e12i | −1.07888 | + | 0.622891i | ||||
\(425\) | −1.87598e12 | − | 3.24929e12i | −0.135295 | − | 0.234338i | ||||
\(426\) | − | 5.03337e13i | − | 3.58765i | ||||||
\(427\) | 4.94752e12 | + | 8.56935e12i | 0.348536 | + | 0.603682i | ||||
\(428\) | 3.28884e13 | 2.28994 | ||||||||
\(429\) | 3.02189e12i | 0.207966i | ||||||||
\(430\) | −3.29723e13 | − | 2.34433e13i | −2.24289 | − | 1.59469i | ||||
\(431\) | −6.69332e12 | −0.450044 | −0.225022 | − | 0.974354i | \(-0.572245\pi\) | ||||
−0.225022 | + | 0.974354i | \(0.572245\pi\) | |||||||
\(432\) | − | 5.04279e13i | − | 3.35160i | ||||||
\(433\) | −3.37000e12 | + | 1.94567e12i | −0.221406 | + | 0.127829i | −0.606601 | − | 0.795006i | \(-0.707468\pi\) |
0.385195 | + | 0.922835i | \(0.374134\pi\) | |||||||
\(434\) | −7.17118e13 | −4.65738 | ||||||||
\(435\) | 1.79412e13 | − | 1.03584e13i | 1.15187 | − | 0.665035i | ||||
\(436\) | −1.60135e13 | − | 2.77362e13i | −1.01637 | − | 1.76041i | ||||
\(437\) | −2.23031e12 | − | 1.28767e12i | −0.139945 | − | 0.0807975i | ||||
\(438\) | 7.49829e13i | 4.65149i | ||||||||
\(439\) | 1.02456e13 | − | 1.77458e13i | 0.628367 | − | 1.08836i | −0.359512 | − | 0.933140i | \(-0.617057\pi\) |
0.987879 | − | 0.155224i | \(-0.0496098\pi\) | |||||||
\(440\) | 5.05060e13 | + | 8.74789e13i | 3.06252 | + | 5.30445i | ||||
\(441\) | 4.74883e13 | 2.84704 | ||||||||
\(442\) | 4.23411e11 | − | 2.44456e11i | 0.0250987 | − | 0.0144907i | ||||
\(443\) | −1.93378e12 | + | 3.34940e12i | −0.113341 | + | 0.196313i | −0.917115 | − | 0.398622i | \(-0.869489\pi\) |
0.803774 | + | 0.594934i | \(0.202822\pi\) | |||||||
\(444\) | −1.77901e13 | + | 3.08134e13i | −1.03101 | + | 1.78577i | ||||
\(445\) | −2.29502e13 | + | 3.97509e13i | −1.31518 | + | 2.27796i | ||||
\(446\) | 3.38624e13 | 1.91886 | ||||||||
\(447\) | 1.48710e13 | − | 2.57574e13i | 0.833304 | − | 1.44332i | ||||
\(448\) | 1.40933e13 | + | 8.13674e12i | 0.780946 | + | 0.450880i | ||||
\(449\) | 1.68319e13 | − | 9.71788e12i | 0.922360 | − | 0.532525i | 0.0379728 | − | 0.999279i | \(-0.487910\pi\) |
0.884387 | + | 0.466754i | \(0.154577\pi\) | |||||||
\(450\) | −7.03997e13 | + | 4.06453e13i | −3.81512 | + | 2.20266i | ||||
\(451\) | −7.41411e12 | −0.397353 | ||||||||
\(452\) | − | 6.18759e13i | − | 3.27966i | ||||||
\(453\) | −1.44989e13 | − | 2.51129e13i | −0.760055 | − | 1.31645i | ||||
\(454\) | −8.74147e12 | − | 1.51407e13i | −0.453216 | − | 0.784994i | ||||
\(455\) | 1.71030e12 | − | 2.96233e12i | 0.0877033 | − | 0.151907i | ||||
\(456\) | −6.57049e13 | − | 3.79347e13i | −3.33253 | − | 1.92403i | ||||
\(457\) | 2.82524e13i | 1.41734i | 0.705540 | + | 0.708670i | \(0.250704\pi\) | ||||
−0.705540 | + | 0.708670i | \(0.749296\pi\) | |||||||
\(458\) | 1.18402e13 | + | 6.83593e12i | 0.587531 | + | 0.339211i | ||||
\(459\) | −5.85502e12 | − | 3.38040e12i | −0.287386 | − | 0.165922i | ||||
\(460\) | −1.11267e13 | − | 6.42401e12i | −0.540229 | − | 0.311901i | ||||
\(461\) | 1.29116e12 | + | 2.23636e12i | 0.0620120 | + | 0.107408i | 0.895365 | − | 0.445334i | \(-0.146915\pi\) |
−0.833353 | + | 0.552742i | \(0.813582\pi\) | |||||||
\(462\) | 1.71170e14i | 8.13240i | ||||||||
\(463\) | −1.71616e13 | + | 9.90823e12i | −0.806588 | + | 0.465684i | −0.845770 | − | 0.533548i | \(-0.820858\pi\) |
0.0391817 | + | 0.999232i | \(0.487525\pi\) | |||||||
\(464\) | 2.09183e13 | + | 1.20772e13i | 0.972605 | + | 0.561534i | ||||
\(465\) | 8.98917e13 | 4.13480 | ||||||||
\(466\) | 1.74567e13 | − | 3.02358e13i | 0.794386 | − | 1.37592i | ||||
\(467\) | −2.30163e13 | + | 1.32885e13i | −1.03622 | + | 0.598261i | −0.918760 | − | 0.394817i | \(-0.870808\pi\) |
−0.117459 | + | 0.993078i | \(0.537475\pi\) | |||||||
\(468\) | −3.71452e12 | − | 6.43374e12i | −0.165453 | − | 0.286572i | ||||
\(469\) | 2.16544e13i | 0.954293i | ||||||||
\(470\) | 1.56110e13 | + | 2.70390e13i | 0.680676 | + | 1.17897i | ||||
\(471\) | −4.04216e13 | −1.74385 | ||||||||
\(472\) | 3.55234e13i | 1.51637i | ||||||||
\(473\) | 3.55437e13 | − | 1.62636e13i | 1.50127 | − | 0.686927i | ||||
\(474\) | −6.73445e13 | −2.81456 | ||||||||
\(475\) | 2.79186e13i | 1.15458i | ||||||||
\(476\) | 1.68201e13 | − | 9.71111e12i | 0.688327 | − | 0.397406i | ||||
\(477\) | 2.37911e13 | 0.963434 | ||||||||
\(478\) | 1.21972e13 | − | 7.04208e12i | 0.488790 | − | 0.282203i | ||||
\(479\) | −3.53622e12 | − | 6.12491e12i | −0.140237 | − | 0.242897i | 0.787349 | − | 0.616507i | \(-0.211453\pi\) |
−0.927586 | + | 0.373611i | \(0.878120\pi\) | |||||||
\(480\) | −8.46415e13 | − | 4.88678e13i | −3.32183 | − | 1.91786i | ||||
\(481\) | 9.79522e11i | 0.0380442i | ||||||||
\(482\) | 2.75290e13 | − | 4.76816e13i | 1.05817 | − | 1.83280i | ||||
\(483\) | −6.24983e12 | − | 1.08250e13i | −0.237756 | − | 0.411806i | ||||
\(484\) | −1.07622e14 | −4.05204 | ||||||||
\(485\) | −6.15907e13 | + | 3.55594e13i | −2.29513 | + | 1.32509i | ||||
\(486\) | 7.45059e12 | − | 1.29048e13i | 0.274795 | − | 0.475959i | ||||
\(487\) | −9.97487e12 | + | 1.72770e13i | −0.364135 | + | 0.630700i | −0.988637 | − | 0.150323i | \(-0.951969\pi\) |
0.624502 | + | 0.781023i | \(0.285302\pi\) | |||||||
\(488\) | 1.50716e13 | − | 2.61047e13i | 0.544577 | − | 0.943235i | ||||
\(489\) | 7.09824e12 | 0.253867 | ||||||||
\(490\) | 5.80086e13 | − | 1.00474e14i | 2.05358 | − | 3.55691i | ||||
\(491\) | −2.70280e13 | − | 1.56046e13i | −0.947124 | − | 0.546822i | −0.0549375 | − | 0.998490i | \(-0.517496\pi\) |
−0.892186 | + | 0.451668i | \(0.850829\pi\) | |||||||
\(492\) | 2.40594e13 | − | 1.38907e13i | 0.834564 | − | 0.481836i | ||||
\(493\) | 2.80448e12 | − | 1.61917e12i | 0.0962982 | − | 0.0555978i | ||||
\(494\) | −3.63803e12 | −0.123661 | ||||||||
\(495\) | − | 1.40772e14i | − | 4.73685i | ||||||
\(496\) | 5.24040e13 | + | 9.07665e13i | 1.74565 | + | 3.02355i | ||||
\(497\) | −2.75234e13 | − | 4.76719e13i | −0.907653 | − | 1.57210i | ||||
\(498\) | −1.49849e13 | + | 2.59546e13i | −0.489222 | + | 0.847358i | ||||
\(499\) | 3.04433e12 | + | 1.75764e12i | 0.0983986 | + | 0.0568104i | 0.548392 | − | 0.836222i | \(-0.315240\pi\) |
−0.449993 | + | 0.893032i | \(0.648574\pi\) | |||||||
\(500\) | 2.89202e13i | 0.925446i | ||||||||
\(501\) | −1.91288e12 | − | 1.10440e12i | −0.0606038 | − | 0.0349896i | ||||
\(502\) | −8.95926e11 | − | 5.17263e11i | −0.0281031 | − | 0.0162253i | ||||
\(503\) | 4.10932e13 | + | 2.37252e13i | 1.27623 | + | 0.736834i | 0.976154 | − | 0.217080i | \(-0.0696533\pi\) |
0.300080 | + | 0.953914i | \(0.402987\pi\) | |||||||
\(504\) | −1.20797e14 | − | 2.09227e14i | −3.71454 | − | 6.43377i | ||||
\(505\) | − | 7.27748e13i | − | 2.21577i | ||||||
\(506\) | 1.53284e13 | − | 8.84988e12i | 0.462110 | − | 0.266799i | ||||
\(507\) | 4.92001e13 | + | 2.84057e13i | 1.46868 | + | 0.847941i | ||||
\(508\) | 8.27695e13 | 2.44654 | ||||||||
\(509\) | 7.80525e12 | − | 1.35191e13i | 0.228454 | − | 0.395693i | −0.728896 | − | 0.684624i | \(-0.759966\pi\) |
0.957350 | + | 0.288931i | \(0.0932997\pi\) | |||||||
\(510\) | −3.00636e13 | + | 1.73572e13i | −0.871344 | + | 0.503071i | ||||
\(511\) | 4.10021e13 | + | 7.10177e13i | 1.17680 | + | 2.03827i | ||||
\(512\) | 7.39897e13i | 2.10291i | ||||||||
\(513\) | 2.51538e13 | + | 4.35676e13i | 0.707973 | + | 1.22624i | ||||
\(514\) | 7.83434e13 | 2.18367 | ||||||||
\(515\) | − | 3.17086e13i | − | 0.875267i | ||||||
\(516\) | −8.48719e13 | + | 1.19370e14i | −2.32015 | + | 3.26322i | ||||
\(517\) | −3.01654e13 | −0.816689 | ||||||||
\(518\) | 5.54835e13i | 1.48770i | ||||||||
\(519\) | 7.15240e12 | − | 4.12944e12i | 0.189939 | − | 0.109662i | ||||
\(520\) | −1.04202e13 | −0.274067 | ||||||||
\(521\) | −3.07278e13 | + | 1.77407e13i | −0.800465 | + | 0.462149i | −0.843634 | − | 0.536919i | \(-0.819588\pi\) |
0.0431686 | + | 0.999068i | \(0.486255\pi\) | |||||||
\(522\) | −3.50813e13 | − | 6.07625e13i | −0.905155 | − | 1.56777i | ||||
\(523\) | −1.99234e13 | − | 1.15028e13i | −0.509161 | − | 0.293964i | 0.223328 | − | 0.974743i | \(-0.428308\pi\) |
−0.732489 | + | 0.680779i | \(0.761641\pi\) | |||||||
\(524\) | − | 3.42881e12i | − | 0.0867935i | ||||||
\(525\) | −6.77526e13 | + | 1.17351e14i | −1.69875 | + | 2.94232i | ||||
\(526\) | 1.26154e13 | + | 2.18505e13i | 0.313309 | + | 0.542667i | ||||
\(527\) | 1.40515e13 | 0.345675 | ||||||||
\(528\) | 2.16652e14 | − | 1.25084e14i | 5.27951 | − | 3.04813i | ||||
\(529\) | 2.00670e13 | − | 3.47571e13i | 0.484400 | − | 0.839005i | ||||
\(530\) | 2.90616e13 | − | 5.03362e13i | 0.694929 | − | 1.20365i | ||||
\(531\) | 2.47530e13 | − | 4.28734e13i | 0.586347 | − | 1.01558i | ||||
\(532\) | −1.44522e14 | −3.39138 | ||||||||
\(533\) | 3.82411e11 | − | 6.62355e11i | 0.00888984 | − | 0.0153977i | ||||
\(534\) | 2.05198e14 | + | 1.18471e14i | 4.72571 | + | 2.72839i | ||||
\(535\) | −5.56746e13 | + | 3.21438e13i | −1.27025 | + | 0.733378i | ||||
\(536\) | 5.71278e13 | − | 3.29828e13i | 1.29129 | − | 0.745527i | ||||
\(537\) | 7.34841e13 | 1.64559 | ||||||||
\(538\) | − | 1.24356e14i | − | 2.75902i | ||||||
\(539\) | 5.60456e13 | + | 9.70739e13i | 1.23196 | + | 2.13382i | ||||
\(540\) | 1.25489e14 | + | 2.17353e14i | 2.73298 | + | 4.73365i | ||||
\(541\) | −3.22180e12 | + | 5.58033e12i | −0.0695205 | + | 0.120413i | −0.898690 | − | 0.438584i | \(-0.855480\pi\) |
0.829170 | + | 0.558997i | \(0.188814\pi\) | |||||||
\(542\) | −1.04884e14 | − | 6.05546e13i | −2.24239 | − | 1.29465i | ||||
\(543\) | − | 6.48802e13i | − | 1.37440i | ||||||
\(544\) | −1.32308e13 | − | 7.63878e12i | −0.277709 | − | 0.160335i | ||||
\(545\) | 5.42164e13 | + | 3.13019e13i | 1.12758 | + | 0.651010i | ||||
\(546\) | −1.52919e13 | − | 8.82876e12i | −0.315135 | − | 0.181944i | ||||
\(547\) | −1.48392e13 | − | 2.57023e13i | −0.303023 | − | 0.524851i | 0.673796 | − | 0.738917i | \(-0.264662\pi\) |
−0.976819 | + | 0.214066i | \(0.931329\pi\) | |||||||
\(548\) | − | 4.38454e13i | − | 0.887200i | ||||||
\(549\) | −3.63799e13 | + | 2.10039e13i | −0.729457 | + | 0.421152i | ||||
\(550\) | −1.66171e14 | − | 9.59391e13i | −3.30174 | − | 1.90626i | ||||
\(551\) | −2.40967e13 | −0.474460 | ||||||||
\(552\) | −1.90388e13 | + | 3.29761e13i | −0.371487 | + | 0.643434i | ||||
\(553\) | −6.37832e13 | + | 3.68252e13i | −1.23333 | + | 0.712065i | ||||
\(554\) | −1.24757e13 | − | 2.16086e13i | −0.239066 | − | 0.414074i | ||||
\(555\) | − | 6.95493e13i | − | 1.32077i | ||||||
\(556\) | 7.18610e13 | + | 1.24467e14i | 1.35244 | + | 2.34250i | ||||
\(557\) | −1.55622e13 | −0.290266 | −0.145133 | − | 0.989412i | \(-0.546361\pi\) | ||||
−0.145133 | + | 0.989412i | \(0.546361\pi\) | |||||||
\(558\) | − | 3.04442e14i | − | 5.62773i | ||||||
\(559\) | −3.80363e11 | + | 4.01423e12i | −0.00696849 | + | 0.0735433i | ||||
\(560\) | −2.83176e14 | −5.14181 | ||||||||
\(561\) | − | 3.35397e13i | − | 0.603594i | ||||||
\(562\) | 1.45446e13 | − | 8.39730e12i | 0.259429 | − | 0.149782i | ||||
\(563\) | −5.33574e12 | −0.0943307 | −0.0471653 | − | 0.998887i | \(-0.515019\pi\) | ||||
−0.0471653 | + | 0.998887i | \(0.515019\pi\) | |||||||
\(564\) | 9.78894e13 | − | 5.65165e13i | 1.71530 | − | 0.990329i | ||||
\(565\) | 6.04750e13 | + | 1.04746e14i | 1.05035 | + | 1.81926i | ||||
\(566\) | 4.77872e13 | + | 2.75899e13i | 0.822677 | + | 0.474973i | ||||
\(567\) | 6.76789e13i | 1.15488i | ||||||||
\(568\) | −8.38442e13 | + | 1.45222e14i | −1.41818 | + | 2.45636i | ||||
\(569\) | 2.47191e13 | + | 4.28147e13i | 0.414448 | + | 0.717846i | 0.995370 | − | 0.0961135i | \(-0.0306412\pi\) |
−0.580922 | + | 0.813959i | \(0.697308\pi\) | |||||||
\(570\) | 2.58312e14 | 4.29310 | ||||||||
\(571\) | 1.40677e13 | − | 8.12198e12i | 0.231762 | − | 0.133808i | −0.379623 | − | 0.925141i | \(-0.623946\pi\) |
0.611385 | + | 0.791334i | \(0.290613\pi\) | |||||||
\(572\) | 8.76774e12 | − | 1.51862e13i | 0.143188 | − | 0.248009i | ||||
\(573\) | −1.53447e13 | + | 2.65779e13i | −0.248420 | + | 0.430276i | ||||
\(574\) | 2.16610e13 | − | 3.75180e13i | 0.347632 | − | 0.602117i | ||||
\(575\) | 1.40118e13 | 0.222923 | ||||||||
\(576\) | −3.45433e13 | + | 5.98308e13i | −0.544819 | + | 0.943654i | ||||
\(577\) | −9.20171e13 | − | 5.31261e13i | −1.43876 | − | 0.830671i | −0.441000 | − | 0.897507i | \(-0.645376\pi\) |
−0.997764 | + | 0.0668359i | \(0.978710\pi\) | |||||||
\(578\) | 9.75284e13 | − | 5.63081e13i | 1.51179 | − | 0.872834i | ||||
\(579\) | 4.95729e13 | − | 2.86209e13i | 0.761819 | − | 0.439836i | ||||
\(580\) | −1.20215e14 | −1.83155 | ||||||||
\(581\) | 3.27760e13i | 0.495080i | ||||||||
\(582\) | 1.83561e14 | + | 3.17938e14i | 2.74895 | + | 4.76131i | ||||
\(583\) | 2.80782e13 | + | 4.86328e13i | 0.416895 | + | 0.722083i | ||||
\(584\) | 1.24904e14 | − | 2.16340e14i | 1.83871 | − | 3.18473i | ||||
\(585\) | 1.25761e13 | + | 7.26084e12i | 0.183556 | + | 0.105976i | ||||
\(586\) | 1.79043e14i | 2.59101i | ||||||||
\(587\) | 4.68928e13 | + | 2.70736e13i | 0.672846 | + | 0.388468i | 0.797154 | − | 0.603776i | \(-0.206338\pi\) |
−0.124308 | + | 0.992244i | \(0.539671\pi\) | |||||||
\(588\) | −3.63746e14 | − | 2.10009e14i | −5.17501 | − | 2.98780i | ||||
\(589\) | −9.05498e13 | − | 5.22789e13i | −1.27735 | − | 0.737480i | ||||
\(590\) | −6.04732e13 | − | 1.04743e14i | −0.845868 | − | 1.46509i | ||||
\(591\) | 2.43347e13i | 0.337512i | ||||||||
\(592\) | 7.02261e13 | − | 4.05450e13i | 0.965806 | − | 0.557608i | ||||
\(593\) | 8.40751e13 | + | 4.85408e13i | 1.14655 | + | 0.661962i | 0.948045 | − | 0.318137i | \(-0.103057\pi\) |
0.198508 | + | 0.980099i | \(0.436390\pi\) | |||||||
\(594\) | −3.45753e14 | −4.67556 | ||||||||
\(595\) | −1.89825e13 | + | 3.28786e13i | −0.254547 | + | 0.440889i | ||||
\(596\) | −1.49465e14 | + | 8.62938e13i | −1.98751 | + | 1.14749i | ||||
\(597\) | −1.22503e14 | − | 2.12182e14i | −1.61539 | − | 2.79793i | ||||
\(598\) | 1.82587e12i | 0.0238761i | ||||||||
\(599\) | −4.08266e13 | − | 7.07138e13i | −0.529431 | − | 0.917001i | −0.999411 | − | 0.0343240i | \(-0.989072\pi\) |
0.469980 | − | 0.882677i | \(-0.344261\pi\) | |||||||
\(600\) | 4.12788e14 | 5.30849 | ||||||||
\(601\) | 2.29106e13i | 0.292189i | 0.989271 | + | 0.146095i | \(0.0466704\pi\) | ||||
−0.989271 | + | 0.146095i | \(0.953330\pi\) | |||||||
\(602\) | −2.15450e13 | + | 2.27380e14i | −0.272499 | + | 2.87587i | ||||
\(603\) | −9.19305e13 | −1.15312 | ||||||||
\(604\) | 1.68269e14i | 2.09324i | ||||||||
\(605\) | 1.82186e14 | − | 1.05185e14i | 2.24770 | − | 1.29771i | ||||
\(606\) | −3.75671e14 | −4.59668 | ||||||||
\(607\) | 8.01250e13 | − | 4.62602e13i | 0.972354 | − | 0.561389i | 0.0724012 | − | 0.997376i | \(-0.476934\pi\) |
0.899953 | + | 0.435987i | \(0.143600\pi\) | |||||||
\(608\) | 5.68407e13 | + | 9.84510e13i | 0.684135 | + | 1.18496i | ||||
\(609\) | −1.01286e14 | − | 5.84778e13i | −1.20911 | − | 0.698079i | ||||
\(610\) | 1.02628e14i | 1.21511i | ||||||||
\(611\) | 1.55590e12 | − | 2.69489e12i | 0.0182715 | − | 0.0316472i | ||||
\(612\) | 4.12271e13 | + | 7.14074e13i | 0.480204 | + | 0.831737i | ||||
\(613\) | −1.14825e14 | −1.32658 | −0.663290 | − | 0.748363i | \(-0.730840\pi\) | ||||
−0.663290 | + | 0.748363i | \(0.730840\pi\) | |||||||
\(614\) | −1.98732e14 | + | 1.14738e14i | −2.27733 | + | 1.31482i | ||||
\(615\) | −2.71524e13 | + | 4.70294e13i | −0.308626 | + | 0.534557i | ||||
\(616\) | 2.85130e14 | − | 4.93860e14i | 3.21469 | − | 5.56801i | ||||
\(617\) | 7.77505e13 | − | 1.34668e14i | 0.869515 | − | 1.50604i | 0.00702234 | − | 0.999975i | \(-0.497765\pi\) |
0.862493 | − | 0.506069i | \(-0.168902\pi\) | |||||||
\(618\) | −1.63683e14 | −1.81577 | ||||||||
\(619\) | −8.33074e13 | + | 1.44293e14i | −0.916706 | + | 1.58778i | −0.112322 | + | 0.993672i | \(0.535829\pi\) |
−0.804384 | + | 0.594110i | \(0.797504\pi\) | |||||||
\(620\) | −4.51740e14 | − | 2.60812e14i | −4.93095 | − | 2.84688i | ||||
\(621\) | 2.18658e13 | − | 1.26242e13i | 0.236760 | − | 0.136693i | ||||
\(622\) | −8.60584e13 | + | 4.96858e13i | −0.924360 | + | 0.533680i | ||||
\(623\) | 2.59129e14 | 2.76106 | ||||||||
\(624\) | 2.58068e13i | 0.272779i | ||||||||
\(625\) | 3.19138e13 | + | 5.52763e13i | 0.334640 | + | 0.579614i | ||||
\(626\) | −2.37896e13 | − | 4.12049e13i | −0.247466 | − | 0.428624i | ||||
\(627\) | −1.24786e14 | + | 2.16135e14i | −1.28774 | + | 2.23043i | ||||
\(628\) | 2.03134e14 | + | 1.17279e14i | 2.07962 | + | 1.20067i | ||||
\(629\) | − | 1.08716e13i | − | 0.110418i | ||||||
\(630\) | 7.12355e14 | + | 4.11279e14i | 7.17784 | + | 4.14413i | ||||
\(631\) | −9.54318e13 | − | 5.50976e13i | −0.953996 | − | 0.550790i | −0.0596758 | − | 0.998218i | \(-0.519007\pi\) |
−0.894320 | + | 0.447428i | \(0.852340\pi\) | |||||||
\(632\) | 1.94302e14 | + | 1.12180e14i | 1.92704 | + | 1.11258i | ||||
\(633\) | 1.46890e14 | + | 2.54421e14i | 1.44535 | + | 2.50343i | ||||
\(634\) | − | 3.47830e14i | − | 3.39563i | ||||||
\(635\) | −1.40115e14 | + | 8.08955e13i | −1.35711 | + | 0.783530i | ||||
\(636\) | −1.82232e14 | − | 1.05212e14i | −1.75122 | − | 1.01107i | ||||
\(637\) | −1.15631e13 | −0.110249 | ||||||||
\(638\) | 8.28057e13 | − | 1.43424e14i | 0.783352 | − | 1.35681i | ||||
\(639\) | 2.02384e14 | − | 1.16846e14i | 1.89964 | − | 1.09676i | ||||
\(640\) | −3.63741e13 | − | 6.30018e13i | −0.338760 | − | 0.586750i | ||||
\(641\) | 1.91959e14i | 1.77386i | 0.461905 | + | 0.886929i | \(0.347166\pi\) | ||||
−0.461905 | + | 0.886929i | \(0.652834\pi\) | |||||||
\(642\) | 1.65929e14 | + | 2.87398e14i | 1.52142 | + | 2.63517i | ||||
\(643\) | −7.14366e13 | −0.649929 | −0.324965 | − | 0.945726i | \(-0.605352\pi\) | ||||
−0.324965 | + | 0.945726i | \(0.605352\pi\) | |||||||
\(644\) | 7.25331e13i | 0.654798i | ||||||||
\(645\) | 2.70070e13 | − | 2.85024e14i | 0.241923 | − | 2.55319i | ||||
\(646\) | 4.03782e13 | 0.358909 | ||||||||
\(647\) | − | 1.75454e14i | − | 1.54754i | −0.633466 | − | 0.773771i | \(-0.718368\pi\) | ||
0.633466 | − | 0.773771i | \(-0.281632\pi\) | |||||||
\(648\) | 1.78548e14 | − | 1.03085e14i | 1.56272 | − | 0.902234i | ||||
\(649\) | 1.16854e14 | 1.01489 | ||||||||
\(650\) | 1.71418e13 | − | 9.89684e12i | 0.147737 | − | 0.0852962i | ||||
\(651\) | −2.53740e14 | − | 4.39491e14i | −2.17013 | − | 3.75877i | ||||
\(652\) | −3.56713e13 | − | 2.05949e13i | −0.302748 | − | 0.174792i | ||||
\(653\) | − | 4.13075e13i | − | 0.347907i | −0.984754 | − | 0.173953i | \(-0.944346\pi\) | ||
0.984754 | − | 0.173953i | \(-0.0556542\pi\) | |||||||
\(654\) | 1.61583e14 | − | 2.79871e14i | 1.35054 | − | 2.33921i | ||||
\(655\) | 3.35118e12 | + | 5.80441e12i | 0.0277966 | + | 0.0481451i | ||||
\(656\) | −6.33160e13 | −0.521188 | ||||||||
\(657\) | −3.01495e14 | + | 1.74068e14i | −2.46294 | + | 1.42198i | ||||
\(658\) | 8.81312e13 | − | 1.52648e14i | 0.714497 | − | 1.23754i | ||||
\(659\) | 2.83768e13 | − | 4.91500e13i | 0.228316 | − | 0.395454i | −0.728993 | − | 0.684521i | \(-0.760012\pi\) |
0.957309 | + | 0.289066i | \(0.0933449\pi\) | |||||||
\(660\) | −6.22539e14 | + | 1.07827e15i | −4.97103 | + | 8.61008i | ||||
\(661\) | −6.30160e13 | −0.499394 | −0.249697 | − | 0.968324i | \(-0.580331\pi\) | ||||
−0.249697 | + | 0.968324i | \(0.580331\pi\) | |||||||
\(662\) | 1.91911e13 | − | 3.32400e13i | 0.150942 | − | 0.261440i | ||||
\(663\) | 2.99634e12 | + | 1.72994e12i | 0.0233896 | + | 0.0135040i | ||||
\(664\) | 8.64685e13 | − | 4.99226e13i | 0.669912 | − | 0.386774i | ||||
\(665\) | 2.44652e14 | − | 1.41250e14i | 1.88123 | − | 1.08613i | ||||
\(666\) | −2.35547e14 | −1.79765 | ||||||||
\(667\) | 1.20937e13i | 0.0916074i | ||||||||
\(668\) | 6.40865e12 | + | 1.11001e13i | 0.0481819 | + | 0.0834535i | ||||
\(669\) | 1.19816e14 | + | 2.07528e14i | 0.894099 | + | 1.54863i | ||||
\(670\) | −1.12296e14 | + | 1.94503e14i | −0.831747 | + | 1.44063i | ||||
\(671\) | −8.58710e13 | − | 4.95776e13i | −0.631297 | − | 0.364480i | ||||
\(672\) | 5.51763e14i | 4.02630i | ||||||||
\(673\) | −1.94900e14 | − | 1.12526e14i | −1.41168 | − | 0.815035i | −0.416135 | − | 0.909303i | \(-0.636616\pi\) |
−0.995547 | + | 0.0942683i | \(0.969949\pi\) | |||||||
\(674\) | 1.57784e14 | + | 9.10968e13i | 1.13439 | + | 0.654943i | ||||
\(675\) | −2.37041e14 | − | 1.36856e14i | −1.69163 | − | 0.976662i | ||||
\(676\) | −1.64833e14 | − | 2.85499e14i | −1.16764 | − | 2.02242i | ||||
\(677\) | 1.76912e14i | 1.24398i | 0.783026 | + | 0.621989i | \(0.213675\pi\) | ||||
−0.783026 | + | 0.621989i | \(0.786325\pi\) | |||||||
\(678\) | 5.40708e14 | − | 3.12178e14i | 3.77411 | − | 2.17898i | ||||
\(679\) | 3.47708e14 | + | 2.00749e14i | 2.40916 | + | 1.39093i | ||||
\(680\) | 1.15652e14 | 0.795444 | ||||||||
\(681\) | 6.18606e13 | − | 1.07146e14i | 0.422356 | − | 0.731541i | ||||
\(682\) | 6.22329e14 | − | 3.59302e14i | 4.21792 | − | 2.43522i | ||||
\(683\) | −1.60674e13 | − | 2.78296e13i | −0.108104 | − | 0.187242i | 0.806898 | − | 0.590691i | \(-0.201145\pi\) |
−0.915002 | + | 0.403449i | \(0.867811\pi\) | |||||||
\(684\) | − | 6.13548e14i | − | 4.09796i | ||||||
\(685\) | 4.28527e13 | + | 7.42231e13i | 0.284136 | + | 0.492137i | ||||
\(686\) | −2.16107e14 | −1.42249 | ||||||||
\(687\) | 9.67512e13i | 0.632227i | ||||||||
\(688\) | 3.03541e14 | − | 1.38890e14i | 1.96914 | − | 0.901008i | ||||
\(689\) | −5.79296e12 | −0.0373082 | ||||||||
\(690\) | − | 1.29642e14i | − | 0.828900i | ||||||
\(691\) | −1.38697e14 | + | 8.00766e13i | −0.880391 | + | 0.508294i | −0.870787 | − | 0.491660i | \(-0.836390\pi\) |
−0.00960402 | + | 0.999954i | \(0.503057\pi\) | |||||||
\(692\) | −4.79248e13 | −0.302016 | ||||||||
\(693\) | −6.88250e14 | + | 3.97361e14i | −4.30606 | + | 2.48610i | ||||
\(694\) | 1.71487e14 | + | 2.97024e14i | 1.06521 | + | 1.84499i | ||||
\(695\) | −2.43298e14 | − | 1.40468e14i | −1.50042 | − | 0.866271i | ||||
\(696\) | 3.56280e14i | 2.18145i | ||||||||
\(697\) | −4.24434e12 | + | 7.35141e12i | −0.0258016 | + | 0.0446896i | ||||
\(698\) | −2.27395e14 | − | 3.93860e14i | −1.37247 | − | 2.37719i | ||||
\(699\) | 2.47070e14 | 1.48059 | ||||||||
\(700\) | 6.80965e14 | − | 3.93155e14i | 4.05168 | − | 2.33924i | ||||
\(701\) | −1.36510e14 | + | 2.36443e14i | −0.806447 | + | 1.39681i | 0.108863 | + | 0.994057i | \(0.465279\pi\) |
−0.915310 | + | 0.402750i | \(0.868054\pi\) | |||||||
\(702\) | 1.78335e13 | − | 3.08886e13i | 0.104605 | − | 0.181181i | ||||
\(703\) | −4.04483e13 | + | 7.00584e13i | −0.235572 | + | 0.408022i | ||||
\(704\) | −1.63072e14 | −0.943010 | ||||||||
\(705\) | −1.10474e14 | + | 1.91346e14i | −0.634327 | + | 1.09869i | ||||
\(706\) | 4.52521e14 | + | 2.61263e14i | 2.57997 | + | 1.48955i | ||||
\(707\) | −3.55805e14 | + | 2.05424e14i | −2.01426 | + | 1.16293i | ||||
\(708\) | −3.79200e14 | + | 2.18931e14i | −2.13158 | + | 1.23067i | ||||
\(709\) | 2.19213e14 | 1.22359 | 0.611794 | − | 0.791017i | \(-0.290448\pi\) | ||||
0.611794 | + | 0.791017i | \(0.290448\pi\) | |||||||
\(710\) | − | 5.70928e14i | − | 3.16439i | ||||||
\(711\) | −1.56336e14 | − | 2.70782e14i | −0.860421 | − | 1.49029i | ||||
\(712\) | −3.94691e14 | − | 6.83625e14i | −2.15704 | − | 3.73609i | ||||
\(713\) | −2.62379e13 | + | 4.54453e13i | −0.142391 | + | 0.246628i | ||||
\(714\) | 1.69723e14 | + | 9.79896e13i | 0.914638 | + | 0.528067i | ||||
\(715\) | 3.42769e13i | 0.183430i | ||||||||
\(716\) | −3.69285e14 | − | 2.13207e14i | −1.96244 | − | 1.13302i | ||||
\(717\) | 8.63159e13 | + | 4.98345e13i | 0.455507 | + | 0.262987i | ||||
\(718\) | 2.37436e14 | + | 1.37083e14i | 1.24430 | + | 0.718394i | ||||
\(719\) | 7.25408e13 | + | 1.25644e14i | 0.377518 | + | 0.653881i | 0.990701 | − | 0.136061i | \(-0.0434442\pi\) |
−0.613182 | + | 0.789941i | \(0.710111\pi\) | |||||||
\(720\) | − | 1.20218e15i | − | 6.21309i | ||||||
\(721\) | −1.55027e14 | + | 8.95049e13i | −0.795666 | + | 0.459378i | ||||
\(722\) | 5.06932e13 | + | 2.92677e13i | 0.258383 | + | 0.149177i | ||||
\(723\) | 3.89627e14 | 1.97223 | ||||||||
\(724\) | −1.88244e14 | + | 3.26048e14i | −0.946298 | + | 1.63904i | ||||
\(725\) | 1.13540e14 | − | 6.55523e13i | 0.566837 | − | 0.327264i | ||||
\(726\) | −5.42977e14 | − | 9.40464e14i | −2.69214 | − | 4.66293i | ||||
\(727\) | − | 2.21917e13i | − | 0.109274i | −0.998506 | − | 0.0546372i | \(-0.982600\pi\) | ||
0.998506 | − | 0.0546372i | \(-0.0174002\pi\) | |||||||
\(728\) | 2.94133e13 | + | 5.09454e13i | 0.143842 | + | 0.249142i | ||||
\(729\) | 2.56064e14 | 1.24369 | ||||||||
\(730\) | 8.50521e14i | 4.10271i | ||||||||
\(731\) | 4.22161e12 | − | 4.45536e13i | 0.0202251 | − | 0.213450i | ||||
\(732\) | 3.71545e14 | 1.76789 | ||||||||
\(733\) | 2.74592e14i | 1.29768i | 0.760925 | + | 0.648840i | \(0.224745\pi\) | ||||
−0.760925 | + | 0.648840i | \(0.775255\pi\) | |||||||
\(734\) | 1.39259e14 | − | 8.04015e13i | 0.653649 | − | 0.377384i | ||||
\(735\) | 8.21016e14 | 3.82750 | ||||||||
\(736\) | 4.94108e13 | − | 2.85274e13i | 0.228788 | − | 0.132091i | ||||
\(737\) | −1.08496e14 | − | 1.87921e14i | −0.498973 | − | 0.864247i | ||||
\(738\) | 1.59277e14 | + | 9.19588e13i | 0.727565 | + | 0.420060i | ||||
\(739\) | − | 1.02819e14i | − | 0.466500i | −0.972417 | − | 0.233250i | \(-0.925064\pi\) | ||
0.972417 | − | 0.233250i | \(-0.0749361\pi\) | |||||||
\(740\) | −2.01791e14 | + | 3.49512e14i | −0.909374 | + | 1.57508i | ||||
\(741\) | −1.28726e13 | − | 2.22960e13i | −0.0576202 | − | 0.0998011i | ||||
\(742\) | −3.28133e14 | −1.45892 | ||||||||
\(743\) | 1.70299e14 | − | 9.83222e13i | 0.752087 | − | 0.434217i | −0.0743607 | − | 0.997231i | \(-0.523692\pi\) |
0.826447 | + | 0.563014i | \(0.190358\pi\) | |||||||
\(744\) | −7.72967e14 | + | 1.33882e15i | −3.39075 | + | 5.87296i | ||||
\(745\) | 1.68680e14 | − | 2.92162e14i | 0.734991 | − | 1.27304i | ||||
\(746\) | −1.81729e14 | + | 3.14763e14i | −0.786556 | + | 1.36235i | ||||
\(747\) | −1.39146e14 | −0.598228 | ||||||||
\(748\) | −9.73123e13 | + | 1.68550e14i | −0.415585 | + | 0.719814i | ||||
\(749\) | 3.14309e14 | + | 1.81467e14i | 1.33336 | + | 0.769817i | ||||
\(750\) | −2.52722e14 | + | 1.45909e14i | −1.06497 | + | 0.614859i | ||||
\(751\) | −1.24120e14 | + | 7.16608e13i | −0.519568 | + | 0.299973i | −0.736758 | − | 0.676157i | \(-0.763644\pi\) |
0.217190 | + | 0.976129i | \(0.430311\pi\) | |||||||
\(752\) | −2.57611e14 | −1.07121 | ||||||||
\(753\) | − | 7.32100e12i | − | 0.0302410i | ||||||
\(754\) | 8.54204e12 | + | 1.47952e13i | 0.0350514 | + | 0.0607107i | ||||
\(755\) | −1.64459e14 | − | 2.84852e14i | −0.670384 | − | 1.16114i | ||||
\(756\) | 7.08443e14 | − | 1.22706e15i | 2.86877 | − | 4.96886i | ||||
\(757\) | −1.50987e14 | − | 8.71723e13i | −0.607379 | − | 0.350671i | 0.164560 | − | 0.986367i | \(-0.447380\pi\) |
−0.771939 | + | 0.635697i | \(0.780713\pi\) | |||||||
\(758\) | − | 5.81285e14i | − | 2.32297i | ||||||
\(759\) | 1.08474e14 | + | 6.26277e13i | 0.430644 | + | 0.248632i | ||||
\(760\) | −7.45282e14 | − | 4.30288e14i | −2.93936 | − | 1.69704i | ||||
\(761\) | 1.37827e14 | + | 7.95745e13i | 0.540022 | + | 0.311782i | 0.745088 | − | 0.666966i | \(-0.232408\pi\) |
−0.205066 | + | 0.978748i | \(0.565741\pi\) | |||||||
\(762\) | 4.17591e14 | + | 7.23289e14i | 1.62546 | + | 2.81538i | ||||
\(763\) | − | 3.53427e14i | − | 1.36671i | ||||||
\(764\) | 1.54226e14 | − | 8.90427e13i | 0.592505 | − | 0.342083i | ||||
\(765\) | −1.39581e14 | − | 8.05873e13i | −0.532746 | − | 0.307581i | ||||
\(766\) | −2.23110e14 | −0.846010 | ||||||||
\(767\) | −6.02717e12 | + | 1.04394e13i | −0.0227058 | + | 0.0393276i | ||||
\(768\) | −5.50588e14 | + | 3.17882e14i | −2.06073 | + | 1.18976i | ||||
\(769\) | −1.22195e14 | − | 2.11648e14i | −0.454382 | − | 0.787013i | 0.544270 | − | 0.838910i | \(-0.316807\pi\) |
−0.998652 | + | 0.0518972i | \(0.983473\pi\) | |||||||
\(770\) | 1.94156e15i | 7.17295i | ||||||||
\(771\) | 2.77205e14 | + | 4.80134e14i | 1.01749 | + | 1.76234i | ||||
\(772\) | −3.32164e14 | −1.21134 | ||||||||
\(773\) | 1.12376e13i | 0.0407172i | 0.999793 | + | 0.0203586i | \(0.00648079\pi\) | ||||
−0.999793 | + | 0.0203586i | \(0.993519\pi\) | |||||||
\(774\) | −9.65307e14 | − | 9.14663e13i | −3.47505 | − | 0.329273i | ||||
\(775\) | 5.68875e14 | 2.03474 | ||||||||
\(776\) | − | 1.22308e15i | − | 4.34657i | ||||||
\(777\) | −3.40035e14 | + | 1.96319e14i | −1.20066 | + | 0.693199i | ||||
\(778\) | 4.53014e14 | 1.58933 | ||||||||
\(779\) | 5.47024e13 | − | 3.15824e13i | 0.190686 | − | 0.110093i | ||||
\(780\) | −6.42196e13 | − | 1.11232e14i | −0.222431 | − | 0.385261i | ||||
\(781\) | 4.77706e14 | + | 2.75804e14i | 1.64402 | + | 0.949173i | ||||
\(782\) | − | 2.02651e13i | − | 0.0692971i | ||||||
\(783\) | 1.18121e14 | − | 2.04592e14i | 0.401346 | − | 0.695152i | ||||
\(784\) | 4.78626e14 | + | 8.29005e14i | 1.61591 | + | 2.79883i | ||||
\(785\) | −4.58496e14 | −1.53811 | ||||||||
\(786\) | 2.99630e13 | − | 1.72991e13i | 0.0998786 | − | 0.0576649i | ||||
\(787\) | 1.83829e14 | − | 3.18401e14i | 0.608891 | − | 1.05463i | −0.382533 | − | 0.923942i | \(-0.624948\pi\) |
0.991424 | − | 0.130688i | \(-0.0417186\pi\) | |||||||
\(788\) | 7.06049e13 | − | 1.22291e14i | 0.232383 | − | 0.402498i | ||||
\(789\) | −8.92752e13 | + | 1.54629e14i | −0.291975 | + | 0.505715i | ||||
\(790\) | −7.63879e14 | −2.48250 | ||||||||
\(791\) | 3.41409e14 | − | 5.91339e14i | 1.10254 | − | 1.90965i | ||||
\(792\) | 2.09661e15 | + | 1.21048e15i | 6.72808 | + | 3.88446i | ||||
\(793\) | 8.85825e12 | − | 5.11431e12i | 0.0282476 | − | 0.0163088i | ||||
\(794\) | −5.80447e14 | + | 3.35121e14i | −1.83933 | + | 1.06194i | ||||
\(795\) | 4.11319e14 | 1.29522 | ||||||||
\(796\) | 1.42173e15i | 4.44888i | ||||||||
\(797\) | 2.86804e13 | + | 4.96759e13i | 0.0891854 | + | 0.154474i | 0.907167 | − | 0.420771i | \(-0.138240\pi\) |
−0.817982 | + | 0.575244i | \(0.804907\pi\) | |||||||
\(798\) | −7.29147e14 | − | 1.26292e15i | −2.25321 | − | 3.90267i | ||||
\(799\) | −1.72687e13 | + | 2.99103e13i | −0.0530306 | + | 0.0918517i | ||||
\(800\) | −5.35649e14 | − | 3.09257e14i | −1.63467 | − | 0.943777i | ||||
\(801\) | 1.10009e15i | 3.33632i | ||||||||
\(802\) | 5.55035e13 | + | 3.20450e13i | 0.167282 | + | 0.0965802i | ||||
\(803\) | −7.11648e14 | − | 4.10870e14i | −2.13151 | − | 1.23063i | ||||
\(804\) | 7.04159e14 | + | 4.06547e14i | 2.09600 | + | 1.21012i | ||||
\(805\) | −7.08909e13 | − | 1.22787e14i | −0.209706 | − | 0.363222i | ||||
\(806\) | 7.41294e13i | 0.217929i | ||||||||
\(807\) | 7.62124e14 | − | 4.40012e14i | 2.22668 | − | 1.28557i | ||||
\(808\) | 1.08388e15 | + | 6.25781e14i | 3.14721 | + | 1.81704i | ||||
\(809\) | −3.16071e14 | −0.912099 | −0.456050 | − | 0.889954i | \(-0.650736\pi\) | ||||
−0.456050 | + | 0.889954i | \(0.650736\pi\) | |||||||
\(810\) | −3.50972e14 | + | 6.07901e14i | −1.00658 | + | 1.74344i | ||||
\(811\) | −2.43262e14 | + | 1.40448e14i | −0.693379 | + | 0.400323i | −0.804877 | − | 0.593442i | \(-0.797769\pi\) |
0.111497 | + | 0.993765i | \(0.464435\pi\) | |||||||
\(812\) | 3.39335e14 | + | 5.87746e14i | 0.961278 | + | 1.66498i | ||||
\(813\) | − | 8.57050e14i | − | 2.41298i | ||||||
\(814\) | −2.77992e14 | − | 4.81496e14i | −0.777876 | − | 1.34732i | ||||
\(815\) | 8.05143e13 | 0.223916 | ||||||||
\(816\) | − | 2.86427e14i | − | 0.791705i | ||||||
\(817\) | −1.92968e14 | + | 2.71403e14i | −0.530121 | + | 0.745599i | ||||
\(818\) | 5.66476e13 | 0.154673 | ||||||||
\(819\) | − | 8.19816e13i | − | 0.222483i | ||||||
\(820\) | 2.72903e14 | − | 1.57560e14i | 0.736103 | − | 0.424989i | ||||
\(821\) | 1.46062e14 | 0.391582 | 0.195791 | − | 0.980646i | \(-0.437273\pi\) | ||||
0.195791 | + | 0.980646i | \(0.437273\pi\) | |||||||
\(822\) | 3.83147e14 | − | 2.21210e14i | 1.02096 | − | 0.589449i | ||||
\(823\) | −1.57614e14 | − | 2.72995e14i | −0.417440 | − | 0.723028i | 0.578241 | − | 0.815866i | \(-0.303739\pi\) |
−0.995681 | + | 0.0928383i | \(0.970406\pi\) | |||||||
\(824\) | 4.72257e14 | + | 2.72658e14i | 1.24320 | + | 0.717764i | ||||
\(825\) | − | 1.35786e15i | − | 3.55292i | ||||||
\(826\) | −3.41399e14 | + | 5.91321e14i | −0.887897 | + | 1.53788i | ||||
\(827\) | 2.39355e14 | + | 4.14575e14i | 0.618750 | + | 1.07171i | 0.989714 | + | 0.143059i | \(0.0456938\pi\) |
−0.370964 | + | 0.928647i | \(0.620973\pi\) | |||||||
\(828\) | −3.07929e14 | −0.791222 | ||||||||
\(829\) | −5.90232e14 | + | 3.40770e14i | −1.50747 | + | 0.870340i | −0.507512 | + | 0.861645i | \(0.669435\pi\) |
−0.999962 | + | 0.00869553i | \(0.997232\pi\) | |||||||
\(830\) | −1.69971e14 | + | 2.94399e14i | −0.431504 | + | 0.747387i | ||||
\(831\) | 8.82867e13 | − | 1.52917e14i | 0.222787 | − | 0.385878i | ||||
\(832\) | 8.41106e12 | − | 1.45684e13i | 0.0210976 | − | 0.0365422i | ||||
\(833\) | 1.28337e14 | 0.319984 | ||||||||
\(834\) | −7.25111e14 | + | 1.25593e15i | −1.79711 | + | 3.11268i | ||||
\(835\) | −2.16976e13 | − | 1.25271e13i | −0.0534538 | − | 0.0308616i | ||||
\(836\) | 1.25419e15 | − | 7.24108e14i | 3.07137 | − | 1.77326i | ||||
\(837\) | 8.87744e14 | − | 5.12539e14i | 2.16103 | − | 1.24767i | ||||
\(838\) | −6.01814e14 | −1.45627 | ||||||||
\(839\) | − | 1.88991e14i | − | 0.454602i | −0.973825 | − | 0.227301i | \(-0.927010\pi\) | ||
0.973825 | − | 0.227301i | \(-0.0729901\pi\) | |||||||
\(840\) | −2.08844e15 | − | 3.61729e15i | −4.99374 | − | 8.64942i | ||||
\(841\) | −1.53775e14 | − | 2.66346e14i | −0.365515 | − | 0.633091i | ||||
\(842\) | 6.59488e14 | − | 1.14227e15i | 1.55828 | − | 2.69903i | ||||
\(843\) | 1.02927e14 | + | 5.94250e13i | 0.241764 | + | 0.139583i | ||||
\(844\) | − | 1.70475e15i | − | 3.98061i | ||||||
\(845\) | 5.58070e14 | + | 3.22202e14i | 1.29540 | + | 0.747902i | ||||
\(846\) | 6.48043e14 | + | 3.74148e14i | 1.49538 | + | 0.863360i | ||||
\(847\) | −1.02853e15 | − | 5.93820e14i | −2.35938 | − | 1.36219i | ||||
\(848\) | 2.39786e14 | + | 4.15321e14i | 0.546820 | + | 0.947120i | ||||
\(849\) | 3.90490e14i | 0.885261i | ||||||||
\(850\) | −1.90256e14 | + | 1.09844e14i | −0.428788 | + | 0.247561i | ||||
\(851\) | 3.51611e13 | + | 2.03003e13i | 0.0787798 | + | 0.0454835i | ||||
\(852\) | −2.06693e15 | −4.60392 | ||||||||
\(853\) | −3.47593e14 | + | 6.02049e14i | −0.769708 | + | 1.33317i | 0.168013 | + | 0.985785i | \(0.446265\pi\) |
−0.937721 | + | 0.347388i | \(0.887069\pi\) | |||||||
\(854\) | 5.01761e14 | − | 2.89692e14i | 1.10461 | − | 0.637745i | ||||
\(855\) | 5.99656e14 | + | 1.03863e15i | 1.31242 | + | 2.27317i | ||||
\(856\) | − | 1.10560e15i | − | 2.40563i | ||||||
\(857\) | −2.32076e14 | − | 4.01967e14i | −0.502026 | − | 0.869535i | −0.999997 | − | 0.00234098i | \(-0.999255\pi\) |
0.497971 | − | 0.867194i | \(-0.334078\pi\) | |||||||
\(858\) | 1.76941e14 | 0.380533 | ||||||||
\(859\) | − | 3.42948e14i | − | 0.733268i | −0.930365 | − | 0.366634i | \(-0.880510\pi\) | ||
0.930365 | − | 0.366634i | \(-0.119490\pi\) | |||||||
\(860\) | −9.62690e14 | + | 1.35399e15i | −2.04642 | + | 2.87822i | ||||
\(861\) | 3.06576e14 | 0.647922 | ||||||||
\(862\) | 3.91914e14i | 0.823483i | ||||||||
\(863\) | −5.32587e14 | + | 3.07489e14i | −1.11259 | + | 0.642356i | −0.939500 | − | 0.342549i | \(-0.888710\pi\) |
−0.173094 | + | 0.984905i | \(0.555376\pi\) | |||||||
\(864\) | −1.11452e15 | −2.31484 | ||||||||
\(865\) | 8.11287e13 | − | 4.68397e13i | 0.167531 | − | 0.0967238i | ||||
\(866\) | 1.13925e14 | + | 1.97323e14i | 0.233899 | + | 0.405125i | ||||
\(867\) | 6.90177e14 | + | 3.98474e14i | 1.40885 | + | 0.813400i | ||||
\(868\) | 2.94482e15i | 5.97667i | ||||||||
\(869\) | 3.69015e14 | − | 6.39153e14i | 0.744638 | − | 1.28975i | ||||
\(870\) | −6.06513e14 | − | 1.05051e15i | −1.21687 | − | 2.10768i | ||||
\(871\) | 2.23844e13 | 0.0446535 | ||||||||
\(872\) | −9.32399e14 | + | 5.38321e14i | −1.84935 | + | 1.06772i | ||||
\(873\) | −8.52252e14 | + | 1.47614e15i | −1.68073 | + | 2.91110i | ||||
\(874\) | −7.53971e13 | + | 1.30592e14i | −0.147842 | + | 0.256069i | ||||
\(875\) | −1.59571e14 | + | 2.76386e14i | −0.311111 | + | 0.538859i | ||||
\(876\) | 3.07914e15 | 5.96911 | ||||||||
\(877\) | −2.59080e14 | + | 4.48740e14i | −0.499386 | + | 0.864962i | −1.00000 | 0.000708606i | \(-0.999774\pi\) | |
0.500614 | + | 0.865671i | \(0.333108\pi\) | |||||||
\(878\) | −1.03907e15 | − | 5.99909e14i | −1.99147 | − | 1.14978i | ||||
\(879\) | −1.09728e15 | + | 6.33515e14i | −2.09109 | + | 1.20729i | ||||
\(880\) | 2.45746e15 | − | 1.41881e15i | 4.65664 | − | 2.68851i | ||||
\(881\) | 3.07586e14 | 0.579545 | 0.289773 | − | 0.957095i | \(-0.406420\pi\) | ||||
0.289773 | + | 0.957095i | \(0.406420\pi\) | |||||||
\(882\) | − | 2.78058e15i | − | 5.20947i | ||||||
\(883\) | −6.53628e13 | − | 1.13212e14i | −0.121766 | − | 0.210906i | 0.798698 | − | 0.601732i | \(-0.205523\pi\) |
−0.920464 | + | 0.390827i | \(0.872189\pi\) | |||||||
\(884\) | −1.00385e13 | − | 1.73872e13i | −0.0185955 | − | 0.0322083i | ||||
\(885\) | 4.27949e14 | − | 7.41229e14i | 0.788271 | − | 1.36533i | ||||
\(886\) | 1.96117e14 | + | 1.13228e14i | 0.359209 | + | 0.207390i | ||||
\(887\) | 5.36419e14i | 0.976981i | 0.872569 | + | 0.488491i | \(0.162452\pi\) | ||||
−0.872569 | + | 0.488491i | \(0.837548\pi\) | |||||||
\(888\) | 1.03584e15 | + | 5.98045e14i | 1.87599 | + | 1.08310i | ||||
\(889\) | 7.91015e14 | + | 4.56693e14i | 1.42455 | + | 0.822461i | ||||
\(890\) | 2.32753e15 | + | 1.34380e15i | 4.16818 | + | 2.40650i | ||||
\(891\) | −3.39095e14 | − | 5.87330e14i | −0.603856 | − | 1.04591i | ||||
\(892\) | − | 1.39054e15i | − | 2.46241i | ||||||
\(893\) | 2.22565e14 | − | 1.28498e14i | 0.391922 | − | 0.226276i | ||||
\(894\) | −1.50817e15 | − | 8.70744e14i | −2.64097 | − | 1.52476i | ||||
\(895\) | 8.33519e14 | 1.45144 | ||||||||
\(896\) | −2.05349e14 | + | 3.55674e14i | −0.355592 | + | 0.615903i | ||||
\(897\) | −1.11900e13 | + | 6.46053e12i | −0.0192693 | + | 0.0111251i | ||||
\(898\) | −5.69011e14 | − | 9.85556e14i | −0.974404 | − | 1.68772i | ||||
\(899\) | 4.91000e14i | 0.836148i | ||||||||
\(900\) | 1.66908e15 | + | 2.89094e15i | 2.82661 | + | 4.89583i | ||||
\(901\) | 6.42955e13 | 0.108282 | ||||||||
\(902\) | 4.34118e14i | 0.727069i | ||||||||
\(903\) | −1.46975e15 | + | 6.72505e14i | −2.44796 | + | 1.12010i | ||||
\(904\) | −2.08006e15 | −3.44536 | ||||||||
\(905\) | − | 7.35927e14i | − | 1.21225i | ||||||
\(906\) | −1.47044e15 | + | 8.48956e14i | −2.40882 | + | 1.39073i | ||||
\(907\) | 5.29695e14 | 0.862957 | 0.431479 | − | 0.902123i | \(-0.357992\pi\) | ||||
0.431479 | + | 0.902123i | \(0.357992\pi\) | |||||||
\(908\) | −6.21746e14 | + | 3.58965e14i | −1.00736 | + | 0.581598i | ||||
\(909\) | −8.72097e14 | − | 1.51052e15i | −1.40522 | − | 2.43392i | ||||
\(910\) | −1.73453e14 | − | 1.00143e14i | −0.277956 | − | 0.160478i | ||||
\(911\) | − | 4.80889e14i | − | 0.766396i | −0.923666 | − | 0.383198i | \(-0.874823\pi\) | ||
0.923666 | − | 0.383198i | \(-0.125177\pi\) | |||||||
\(912\) | −1.06566e15 | + | 1.84578e15i | −1.68906 | + | 2.92554i | ||||
\(913\) | −1.64220e14 | − | 2.84437e14i | −0.258864 | − | 0.448365i | ||||
\(914\) | 1.65426e15 | 2.59342 | ||||||||
\(915\) | −6.28965e14 | + | 3.63133e14i | −0.980665 | + | 0.566187i | ||||
\(916\) | 2.80715e14 | − | 4.86212e14i | 0.435299 | − | 0.753960i | ||||
\(917\) | 1.89190e13 | − | 3.27686e13i | 0.0291777 | − | 0.0505373i | ||||
\(918\) | −1.97932e14 | + | 3.42829e14i | −0.303601 | + | 0.525853i | ||||
\(919\) | 7.55348e14 | 1.15231 | 0.576155 | − | 0.817340i | \(-0.304552\pi\) | ||||
0.576155 | + | 0.817340i | \(0.304552\pi\) | |||||||
\(920\) | −2.15954e14 | + | 3.74044e14i | −0.327659 | + | 0.567523i | ||||
\(921\) | −1.40636e15 | − | 8.11964e14i | −2.12226 | − | 1.22529i | ||||
\(922\) | 1.30946e14 | − | 7.56014e13i | 0.196533 | − | 0.113469i | ||||
\(923\) | −4.92790e13 | + | 2.84513e13i | −0.0735620 | + | 0.0424711i | ||||
\(924\) | 7.02904e15 | 10.4361 | ||||||||
\(925\) | − | 4.40139e14i | − | 0.649952i | ||||||
\(926\) | 5.80157e14 | + | 1.00486e15i | 0.852100 | + | 1.47588i | ||||
\(927\) | −3.79980e14 | − | 6.58144e14i | −0.555088 | − | 0.961440i | ||||
\(928\) | 2.66922e14 | − | 4.62323e14i | 0.387833 | − | 0.671746i | ||||
\(929\) | −8.98120e14 | − | 5.18530e14i | −1.29794 | − | 0.749368i | −0.317895 | − | 0.948126i | \(-0.602976\pi\) |
−0.980049 | + | 0.198758i | \(0.936309\pi\) | |||||||
\(930\) | − | 5.26343e15i | − | 7.56579i | ||||||
\(931\) | −8.27026e14 | − | 4.77484e14i | −1.18242 | − | 0.682669i | ||||
\(932\) | −1.24162e15 | − | 7.16851e14i | −1.76567 | − | 1.01941i | ||||
\(933\) | −6.09007e14 | − | 3.51610e14i | −0.861418 | − | 0.497340i | ||||
\(934\) | 7.78080e14 | + | 1.34767e15i | 1.09469 | + | 1.89605i | ||||
\(935\) | − | 3.80436e14i | − | 0.532383i | ||||||
\(936\) | −2.16281e14 | + | 1.24870e14i | −0.301050 | + | 0.173812i | ||||
\(937\) | −1.16444e15 | − | 6.72289e14i | −1.61220 | − | 0.930803i | −0.988860 | − | 0.148851i | \(-0.952443\pi\) |
−0.623338 | − | 0.781952i | \(-0.714224\pi\) | |||||||
\(938\) | 1.26793e15 | 1.74615 | ||||||||
\(939\) | 1.68351e14 | − | 2.91593e14i | 0.230616 | − | 0.399438i | ||||
\(940\) | 1.11035e15 | − | 6.41058e14i | 1.51293 | − | 0.873491i | ||||
\(941\) | 3.53614e14 | + | 6.12478e14i | 0.479272 | + | 0.830123i | 0.999717 | − | 0.0237718i | \(-0.00756750\pi\) |
−0.520446 | + | 0.853895i | \(0.674234\pi\) | |||||||
\(942\) | 2.36680e15i | 3.19086i | ||||||||
\(943\) | −1.58507e13 | − | 2.74542e13i | −0.0212564 | − | 0.0368171i | ||||
\(944\) | 9.97923e14 | 1.33118 | ||||||||
\(945\) | 2.76961e15i | 3.67502i | ||||||||
\(946\) | −9.52282e14 | − | 2.08119e15i | −1.25693 | − | 2.74699i | ||||
\(947\) | 1.45290e15 | 1.90760 | 0.953798 | − | 0.300448i | \(-0.0971363\pi\) | ||||
0.953798 | + | 0.300448i | \(0.0971363\pi\) | |||||||
\(948\) | 2.76548e15i | 3.61184i | ||||||||
\(949\) | 7.34119e13 | − | 4.23844e13i | 0.0953751 | − | 0.0550649i | ||||
\(950\) | 1.63472e15 | 2.11263 | ||||||||
\(951\) | 2.13170e15 | − | 1.23074e15i | 2.74046 | − | 1.58221i | ||||
\(952\) | −3.26456e14 | − | 5.65438e14i | −0.417484 | − | 0.723103i | ||||
\(953\) | −3.01220e14 | − | 1.73909e14i | −0.383194 | − | 0.221237i | 0.296013 | − | 0.955184i | \(-0.404343\pi\) |
−0.679207 | + | 0.733947i | \(0.737676\pi\) | |||||||
\(954\) | − | 1.39304e15i | − | 1.76287i | ||||||
\(955\) | −1.74053e14 | + | 3.01469e14i | −0.219112 | + | 0.379512i | ||||
\(956\) | −2.89180e14 | − | 5.00875e14i | −0.362142 | − | 0.627249i | ||||
\(957\) | 1.17198e15 | 1.46002 | ||||||||
\(958\) | −3.58632e14 | + | 2.07056e14i | −0.444448 | + | 0.256602i | ||||
\(959\) | 2.41924e14 | − | 4.19024e14i | 0.298253 | − | 0.516590i | ||||
\(960\) | −5.97213e14 | + | 1.03440e15i | −0.732442 | + | 1.26863i | ||||
\(961\) | −6.55433e14 | + | 1.13524e15i | −0.799671 | + | 1.38507i | ||||
\(962\) | 5.73540e13 | 0.0696127 | ||||||||
\(963\) | −7.70389e14 | + | 1.33435e15i | −0.930205 | + | 1.61116i | ||||
\(964\) | −1.95803e15 | − | 1.13047e15i | −2.35198 | − | 1.35792i | ||||
\(965\) | 5.62299e14 | − | 3.24643e14i | 0.671940 | − | 0.387945i | ||||
\(966\) | −6.33838e14 | + | 3.65946e14i | −0.753516 | + | 0.435042i | ||||
\(967\) | −7.58409e14 | −0.896956 | −0.448478 | − | 0.893794i | \(-0.648034\pi\) | ||||
−0.448478 | + | 0.893794i | \(0.648034\pi\) | |||||||
\(968\) | 3.61789e15i | 4.25676i | ||||||||
\(969\) | 1.42872e14 | + | 2.47461e14i | 0.167235 | + | 0.289660i | ||||
\(970\) | 2.08211e15 | + | 3.60632e15i | 2.42463 | + | 4.19958i | ||||
\(971\) | −1.97967e14 | + | 3.42888e14i | −0.229348 | + | 0.397243i | −0.957615 | − | 0.288051i | \(-0.906993\pi\) |
0.728267 | + | 0.685294i | \(0.240326\pi\) | |||||||
\(972\) | −5.29930e14 | − | 3.05955e14i | −0.610784 | − | 0.352636i | ||||
\(973\) | 1.58602e15i | 1.81863i | ||||||||
\(974\) | 1.01162e15 | + | 5.84059e14i | 1.15404 | + | 0.666287i | ||||
\(975\) | 1.21307e14 | + | 7.00367e13i | 0.137678 | + | 0.0794882i | ||||
\(976\) | −7.33333e14 | − | 4.23390e14i | −0.828042 | − | 0.478070i | ||||
\(977\) | −3.27241e14 | − | 5.66799e14i | −0.367617 | − | 0.636731i | 0.621576 | − | 0.783354i | \(-0.286493\pi\) |
−0.989192 | + | 0.146623i | \(0.953160\pi\) | |||||||
\(978\) | − | 4.15623e14i | − | 0.464521i | ||||||
\(979\) | −2.24877e15 | + | 1.29833e15i | −2.50053 | + | 1.44368i | ||||
\(980\) | −4.12592e15 | − | 2.38210e15i | −4.56447 | − | 2.63530i | ||||
\(981\) | 1.50042e15 | 1.65146 | ||||||||
\(982\) | −9.13698e14 | + | 1.58257e15i | −1.00057 | + | 1.73303i | ||||
\(983\) | 5.66841e14 | − | 3.27266e14i | 0.617580 | − | 0.356560i | −0.158346 | − | 0.987384i | \(-0.550616\pi\) |
0.775926 | + | 0.630823i | \(0.217283\pi\) | |||||||
\(984\) | −4.66960e14 | − | 8.08799e14i | −0.506179 | − | 0.876728i | ||||
\(985\) | 2.76025e14i | 0.297692i | ||||||||
\(986\) | −9.48073e13 | − | 1.64211e14i | −0.101732 | − | 0.176205i | ||||
\(987\) | 1.24735e15 | 1.33169 | ||||||||
\(988\) | 1.49394e14i | 0.158690i | ||||||||
\(989\) | 1.36213e14 | + | 9.68472e13i | 0.143958 | + | 0.102354i | ||||
\(990\) | −8.24261e15 | −8.66740 | ||||||||
\(991\) | − | 8.95196e14i | − | 0.936591i | −0.883572 | − | 0.468296i | \(-0.844868\pi\) | ||
0.883572 | − | 0.468296i | \(-0.155132\pi\) | |||||||
\(992\) | 2.00606e15 | − | 1.15820e15i | 2.08827 | − | 1.20566i | ||||
\(993\) | 2.71619e14 | 0.281328 | ||||||||
\(994\) | −2.79133e15 | + | 1.61158e15i | −2.87660 | + | 1.66081i | ||||
\(995\) | −1.38954e15 | − | 2.40675e15i | −1.42480 | − | 2.46783i | ||||
\(996\) | 1.06581e15 | + | 6.15348e14i | 1.08739 | + | 0.627804i | ||||
\(997\) | 5.20078e14i | 0.527950i | 0.964530 | + | 0.263975i | \(0.0850336\pi\) | ||||
−0.964530 | + | 0.263975i | \(0.914966\pi\) | |||||||
\(998\) | 1.02915e14 | − | 1.78255e14i | 0.103951 | − | 0.180048i | ||||
\(999\) | −3.96552e14 | − | 6.86848e14i | −0.398541 | − | 0.690293i |
(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.7.3 | ✓ | 72 | |
43.37 | odd | 6 | inner | 43.11.d.a.37.34 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
43.11.d.a.37.34 | yes | 72 | 43.37 | odd | 6 | inner |