Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,10,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(8.24057337862\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.16 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.10.e.a.13.16 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 21.2709 | − | 7.71668i | 0.940052 | − | 0.341032i | ||||
\(3\) | −159.536 | + | 159.536i | −1.13714 | + | 1.13714i | −0.148181 | + | 0.988960i | \(0.547342\pi\) |
−0.988960 | + | 0.148181i | \(0.952658\pi\) | |||||||
\(4\) | 392.906 | − | 328.282i | 0.767394 | − | 0.641176i | ||||
\(5\) | −1021.24 | − | 1021.24i | −0.730741 | − | 0.730741i | 0.240025 | − | 0.970767i | \(-0.422844\pi\) |
−0.970767 | + | 0.240025i | \(0.922844\pi\) | |||||||
\(6\) | −2162.40 | + | 4624.58i | −0.681170 | + | 1.45677i | ||||
\(7\) | − | 10191.8i | − | 1.60440i | −0.597058 | − | 0.802198i | \(-0.703664\pi\) | ||
0.597058 | − | 0.802198i | \(-0.296336\pi\) | |||||||
\(8\) | 5824.23 | − | 10014.8i | 0.502729 | − | 0.864444i | ||||
\(9\) | − | 31220.8i | − | 1.58618i | ||||||
\(10\) | −29603.4 | − | 13842.2i | −0.936141 | − | 0.437728i | ||||
\(11\) | 3063.82 | + | 3063.82i | 0.0630952 | + | 0.0630952i | 0.737950 | − | 0.674855i | \(-0.235794\pi\) |
−0.674855 | + | 0.737950i | \(0.735794\pi\) | |||||||
\(12\) | −10309.9 | + | 115056.i | −0.143528 | + | 1.60174i | ||||
\(13\) | −105330. | + | 105330.i | −1.02284 | + | 1.02284i | −0.0231031 | + | 0.999733i | \(0.507355\pi\) |
−0.999733 | + | 0.0231031i | \(0.992645\pi\) | |||||||
\(14\) | −78647.1 | − | 216790.i | −0.547150 | − | 1.50821i | ||||
\(15\) | 325851. | 1.66191 | ||||||||
\(16\) | 46606.0 | − | 257968.i | 0.177788 | − | 0.984069i | ||||
\(17\) | −451785. | −1.31193 | −0.655966 | − | 0.754791i | \(-0.727738\pi\) | ||||
−0.655966 | + | 0.754791i | \(0.727738\pi\) | |||||||
\(18\) | −240921. | − | 664095.i | −0.540938 | − | 1.49109i | ||||
\(19\) | 282691. | − | 282691.i | 0.497647 | − | 0.497647i | −0.413058 | − | 0.910705i | \(-0.635539\pi\) |
0.910705 | + | 0.413058i | \(0.135539\pi\) | |||||||
\(20\) | −736507. | − | 65996.7i | −1.02930 | − | 0.0922332i | ||||
\(21\) | 1.62597e6 | + | 1.62597e6i | 1.82442 | + | 1.82442i | ||||
\(22\) | 88812.9 | + | 41527.9i | 0.0808303 | + | 0.0377953i | ||||
\(23\) | − | 92307.1i | − | 0.0687797i | −0.999408 | − | 0.0343898i | \(-0.989051\pi\) | ||
0.999408 | − | 0.0343898i | \(-0.0109488\pi\) | |||||||
\(24\) | 668547. | + | 2.52690e6i | 0.411322 | + | 1.55467i | ||||
\(25\) | 132745.i | 0.0679654i | ||||||||
\(26\) | −1.42767e6 | + | 3.05326e6i | −0.612699 | + | 1.31034i | ||||
\(27\) | 1.84070e6 | + | 1.84070e6i | 0.666569 | + | 0.666569i | ||||
\(28\) | −3.34580e6 | − | 4.00443e6i | −1.02870 | − | 1.23120i | ||||
\(29\) | 811415. | − | 811415.i | 0.213036 | − | 0.213036i | −0.592520 | − | 0.805556i | \(-0.701867\pi\) |
0.805556 | + | 0.592520i | \(0.201867\pi\) | |||||||
\(30\) | 6.93115e6 | − | 2.51448e6i | 1.56228 | − | 0.566765i | ||||
\(31\) | 3.95827e6 | 0.769800 | 0.384900 | − | 0.922958i | \(-0.374236\pi\) | ||||
0.384900 | + | 0.922958i | \(0.374236\pi\) | |||||||
\(32\) | −999300. | − | 5.84686e6i | −0.168469 | − | 0.985707i | ||||
\(33\) | −977583. | −0.143496 | ||||||||
\(34\) | −9.60988e6 | + | 3.48627e6i | −1.23328 | + | 0.447411i | ||||
\(35\) | −1.04083e7 | + | 1.04083e7i | −1.17240 | + | 1.17240i | ||||
\(36\) | −1.02492e7 | − | 1.22668e7i | −1.01702 | − | 1.21723i | ||||
\(37\) | 1.09102e7 | + | 1.09102e7i | 0.957025 | + | 0.957025i | 0.999114 | − | 0.0420886i | \(-0.0134012\pi\) |
−0.0420886 | + | 0.999114i | \(0.513401\pi\) | |||||||
\(38\) | 3.83168e6 | − | 8.19455e6i | 0.298100 | − | 0.637528i | ||||
\(39\) | − | 3.36079e7i | − | 2.32622i | ||||||
\(40\) | −1.61755e7 | + | 4.27957e6i | −0.999050 | + | 0.264320i | ||||
\(41\) | − | 6.52858e6i | − | 0.360821i | −0.983591 | − | 0.180410i | \(-0.942257\pi\) | ||
0.983591 | − | 0.180410i | \(-0.0577426\pi\) | |||||||
\(42\) | 4.71330e7 | + | 2.20388e7i | 2.33724 | + | 1.09287i | ||||
\(43\) | −2.01795e7 | − | 2.01795e7i | −0.900126 | − | 0.900126i | 0.0953208 | − | 0.995447i | \(-0.469612\pi\) |
−0.995447 | + | 0.0953208i | \(0.969612\pi\) | |||||||
\(44\) | 2.20959e6 | + | 197996.i | 0.0888741 | + | 0.00796380i | ||||
\(45\) | −3.18840e7 | + | 3.18840e7i | −1.15909 | + | 1.15909i | ||||
\(46\) | −712304. | − | 1.96346e6i | −0.0234561 | − | 0.0646564i | ||||
\(47\) | 2.46007e7 | 0.735372 | 0.367686 | − | 0.929950i | \(-0.380150\pi\) | ||||
0.367686 | + | 0.929950i | \(0.380150\pi\) | |||||||
\(48\) | 3.37199e7 | + | 4.85906e7i | 0.916855 | + | 1.32119i | ||||
\(49\) | −6.35200e7 | −1.57409 | ||||||||
\(50\) | 1.02435e6 | + | 2.82361e6i | 0.0231784 | + | 0.0638910i | ||||
\(51\) | 7.20761e7 | − | 7.20761e7i | 1.49185 | − | 1.49185i | ||||
\(52\) | −6.80683e6 | + | 7.59625e7i | −0.129101 | + | 1.44074i | ||||
\(53\) | −5.89399e6 | − | 5.89399e6i | −0.102605 | − | 0.102605i | 0.653941 | − | 0.756546i | \(-0.273115\pi\) |
−0.756546 | + | 0.653941i | \(0.773115\pi\) | |||||||
\(54\) | 5.33574e7 | + | 2.49493e7i | 0.853931 | + | 0.399288i | ||||
\(55\) | − | 6.25781e6i | − | 0.0922126i | ||||||
\(56\) | −1.02069e8 | − | 5.93597e7i | −1.38691 | − | 0.806576i | ||||
\(57\) | 9.01992e7i | 1.13179i | ||||||||
\(58\) | 1.09981e7 | − | 2.35210e7i | 0.127612 | − | 0.272916i | ||||
\(59\) | 4.86841e7 | + | 4.86841e7i | 0.523062 | + | 0.523062i | 0.918495 | − | 0.395433i | \(-0.129406\pi\) |
−0.395433 | + | 0.918495i | \(0.629406\pi\) | |||||||
\(60\) | 1.28029e8 | − | 1.06971e8i | 1.27534 | − | 1.06558i | ||||
\(61\) | −5.79083e7 | + | 5.79083e7i | −0.535496 | + | 0.535496i | −0.922203 | − | 0.386707i | \(-0.873613\pi\) |
0.386707 | + | 0.922203i | \(0.373613\pi\) | |||||||
\(62\) | 8.41962e7 | − | 3.05447e7i | 0.723652 | − | 0.262527i | ||||
\(63\) | −3.18197e8 | −2.54486 | ||||||||
\(64\) | −6.63744e7 | − | 1.16657e8i | −0.494528 | − | 0.869162i | ||||
\(65\) | 2.15134e8 | 1.49486 | ||||||||
\(66\) | −2.07941e7 | + | 7.54369e6i | −0.134894 | + | 0.0489369i | ||||
\(67\) | 2.13332e8 | − | 2.13332e8i | 1.29336 | − | 1.29336i | 0.360660 | − | 0.932697i | \(-0.382551\pi\) |
0.932697 | − | 0.360660i | \(-0.117449\pi\) | |||||||
\(68\) | −1.77509e8 | + | 1.48313e8i | −1.00677 | + | 0.841179i | ||||
\(69\) | 1.47264e7 | + | 1.47264e7i | 0.0782122 | + | 0.0782122i | ||||
\(70\) | −1.41077e8 | + | 3.01713e8i | −0.702289 | + | 1.50194i | ||||
\(71\) | 1.65135e8i | 0.771219i | 0.922662 | + | 0.385610i | \(0.126009\pi\) | ||||
−0.922662 | + | 0.385610i | \(0.873991\pi\) | |||||||
\(72\) | −3.12670e8 | − | 1.81837e8i | −1.37116 | − | 0.797418i | ||||
\(73\) | − | 2.14951e8i | − | 0.885903i | −0.896546 | − | 0.442951i | \(-0.853931\pi\) | ||
0.896546 | − | 0.442951i | \(-0.146069\pi\) | |||||||
\(74\) | 3.16260e8 | + | 1.47879e8i | 1.22603 | + | 0.573277i | ||||
\(75\) | −2.11777e7 | − | 2.11777e7i | −0.0772863 | − | 0.0772863i | ||||
\(76\) | 1.82686e7 | − | 2.03874e8i | 0.0628123 | − | 0.700971i | ||||
\(77\) | 3.12260e7 | − | 3.12260e7i | 0.101230 | − | 0.101230i | ||||
\(78\) | −2.59341e8 | − | 7.14871e8i | −0.793315 | − | 2.18677i | ||||
\(79\) | 1.33443e8 | 0.385455 | 0.192728 | − | 0.981252i | \(-0.438267\pi\) | ||||
0.192728 | + | 0.981252i | \(0.438267\pi\) | |||||||
\(80\) | −3.11043e8 | + | 2.15851e8i | −0.849017 | + | 0.589183i | ||||
\(81\) | 2.72022e7 | 0.0702136 | ||||||||
\(82\) | −5.03790e7 | − | 1.38869e8i | −0.123052 | − | 0.339190i | ||||
\(83\) | −2.29998e8 | + | 2.29998e8i | −0.531952 | + | 0.531952i | −0.921153 | − | 0.389201i | \(-0.872751\pi\) |
0.389201 | + | 0.921153i | \(0.372751\pi\) | |||||||
\(84\) | 1.17263e9 | + | 1.05077e8i | 2.56983 | + | 0.230276i | ||||
\(85\) | 4.61381e8 | + | 4.61381e8i | 0.958683 | + | 0.958683i | ||||
\(86\) | −5.84957e8 | − | 2.73519e8i | −1.15314 | − | 0.539193i | ||||
\(87\) | 2.58901e8i | 0.484503i | ||||||||
\(88\) | 4.85280e7 | − | 1.28391e7i | 0.0862621 | − | 0.0228225i | ||||
\(89\) | − | 6.55021e8i | − | 1.10662i | −0.832974 | − | 0.553312i | \(-0.813364\pi\) | ||
0.832974 | − | 0.553312i | \(-0.186636\pi\) | |||||||
\(90\) | −4.32164e8 | + | 9.24240e8i | −0.694316 | + | 1.48489i | ||||
\(91\) | 1.07350e9 | + | 1.07350e9i | 1.64103 | + | 1.64103i | ||||
\(92\) | −3.03028e7 | − | 3.62680e7i | −0.0440998 | − | 0.0527811i | ||||
\(93\) | −6.31489e8 | + | 6.31489e8i | −0.875371 | + | 0.875371i | ||||
\(94\) | 5.23280e8 | − | 1.89836e8i | 0.691288 | − | 0.250786i | ||||
\(95\) | −5.77393e8 | −0.727303 | ||||||||
\(96\) | 1.09221e9 | + | 7.73363e8i | 1.31246 | + | 0.929314i | ||||
\(97\) | −4.74582e8 | −0.544300 | −0.272150 | − | 0.962255i | \(-0.587735\pi\) | ||||
−0.272150 | + | 0.962255i | \(0.587735\pi\) | |||||||
\(98\) | −1.35113e9 | + | 4.90164e8i | −1.47972 | + | 0.536814i | ||||
\(99\) | 9.56549e7 | − | 9.56549e7i | 0.100080 | − | 0.100080i | ||||
\(100\) | 4.35778e7 | + | 5.21563e7i | 0.0435778 | + | 0.0521563i | ||||
\(101\) | −2.97714e8 | − | 2.97714e8i | −0.284677 | − | 0.284677i | 0.550294 | − | 0.834971i | \(-0.314516\pi\) |
−0.834971 | + | 0.550294i | \(0.814516\pi\) | |||||||
\(102\) | 9.76939e8 | − | 2.08931e9i | 0.893648 | − | 1.91119i | ||||
\(103\) | − | 1.56873e9i | − | 1.37335i | −0.726966 | − | 0.686673i | \(-0.759070\pi\) | ||
0.726966 | − | 0.686673i | \(-0.240930\pi\) | |||||||
\(104\) | 4.41391e8 | + | 1.66832e9i | 0.369976 | + | 1.39839i | ||||
\(105\) | − | 3.32102e9i | − | 2.66636i | ||||||
\(106\) | −1.70853e8 | − | 7.98886e7i | −0.131445 | − | 0.0614623i | ||||
\(107\) | −6.25328e8 | − | 6.25328e8i | −0.461191 | − | 0.461191i | 0.437855 | − | 0.899046i | \(-0.355738\pi\) |
−0.899046 | + | 0.437855i | \(0.855738\pi\) | |||||||
\(108\) | 1.32749e9 | + | 1.18953e8i | 0.938909 | + | 0.0841334i | ||||
\(109\) | 1.14850e9 | − | 1.14850e9i | 0.779315 | − | 0.779315i | −0.200400 | − | 0.979714i | \(-0.564224\pi\) |
0.979714 | + | 0.200400i | \(0.0642240\pi\) | |||||||
\(110\) | −4.82895e7 | − | 1.33109e8i | −0.0314475 | − | 0.0866846i | ||||
\(111\) | −3.48114e9 | −2.17655 | ||||||||
\(112\) | −2.62917e9 | − | 4.75001e8i | −1.57884 | − | 0.285242i | ||||
\(113\) | −2.27290e9 | −1.31138 | −0.655689 | − | 0.755031i | \(-0.727622\pi\) | ||||
−0.655689 | + | 0.755031i | \(0.727622\pi\) | |||||||
\(114\) | 6.96038e8 | + | 1.91862e9i | 0.385977 | + | 1.06394i | ||||
\(115\) | −9.42679e7 | + | 9.42679e7i | −0.0502601 | + | 0.0502601i | ||||
\(116\) | 5.24368e7 | − | 5.85183e8i | 0.0268891 | − | 0.300075i | ||||
\(117\) | 3.28848e9 | + | 3.28848e9i | 1.62240 | + | 1.62240i | ||||
\(118\) | 1.41124e9 | + | 6.59877e8i | 0.670086 | + | 0.313324i | ||||
\(119\) | 4.60452e9i | 2.10486i | ||||||||
\(120\) | 1.89783e9 | − | 3.26333e9i | 0.835491 | − | 1.43663i | ||||
\(121\) | − | 2.33917e9i | − | 0.992038i | ||||||
\(122\) | −7.84904e8 | + | 1.67862e9i | −0.320773 | + | 0.686015i | ||||
\(123\) | 1.04155e9 | + | 1.04155e9i | 0.410304 | + | 0.410304i | ||||
\(124\) | 1.55523e9 | − | 1.29943e9i | 0.590740 | − | 0.493577i | ||||
\(125\) | −1.85905e9 | + | 1.85905e9i | −0.681076 | + | 0.681076i | ||||
\(126\) | −6.76835e9 | + | 2.45542e9i | −2.39230 | + | 0.867879i | ||||
\(127\) | 1.48275e9 | 0.505769 | 0.252884 | − | 0.967497i | \(-0.418621\pi\) | ||||
0.252884 | + | 0.967497i | \(0.418621\pi\) | |||||||
\(128\) | −2.31205e9 | − | 1.96921e9i | −0.761294 | − | 0.648407i | ||||
\(129\) | 6.43875e9 | 2.04714 | ||||||||
\(130\) | 4.57611e9 | − | 1.66012e9i | 1.40524 | − | 0.509794i | ||||
\(131\) | 1.14917e9 | − | 1.14917e9i | 0.340928 | − | 0.340928i | −0.515788 | − | 0.856716i | \(-0.672501\pi\) |
0.856716 | + | 0.515788i | \(0.172501\pi\) | |||||||
\(132\) | −3.84098e8 | + | 3.20923e8i | −0.110118 | + | 0.0920064i | ||||
\(133\) | −2.88115e9 | − | 2.88115e9i | −0.798423 | − | 0.798423i | ||||
\(134\) | 2.89155e9 | − | 6.18398e9i | 0.774746 | − | 1.65690i | ||||
\(135\) | − | 3.75959e9i | − | 0.974179i | ||||||
\(136\) | −2.63130e9 | + | 4.52453e9i | −0.659546 | + | 1.13409i | ||||
\(137\) | 6.62752e9i | 1.60734i | 0.595074 | + | 0.803671i | \(0.297123\pi\) | ||||
−0.595074 | + | 0.803671i | \(0.702877\pi\) | |||||||
\(138\) | 4.26882e8 | + | 1.99605e8i | 0.100196 | + | 0.0468506i | ||||
\(139\) | 2.65726e9 | + | 2.65726e9i | 0.603765 | + | 0.603765i | 0.941309 | − | 0.337545i | \(-0.109596\pi\) |
−0.337545 | + | 0.941309i | \(0.609596\pi\) | |||||||
\(140\) | −6.72628e8 | + | 7.50636e9i | −0.147979 | + | 1.65140i | ||||
\(141\) | −3.92471e9 | + | 3.92471e9i | −0.836222 | + | 0.836222i | ||||
\(142\) | 1.27430e9 | + | 3.51259e9i | 0.263010 | + | 0.724986i | ||||
\(143\) | −6.45424e8 | −0.129072 | ||||||||
\(144\) | −8.05395e9 | − | 1.45508e9i | −1.56091 | − | 0.282003i | ||||
\(145\) | −1.65730e9 | −0.311348 | ||||||||
\(146\) | −1.65871e9 | − | 4.57221e9i | −0.302121 | − | 0.832795i | ||||
\(147\) | 1.01338e10 | − | 1.01338e10i | 1.78996 | − | 1.78996i | ||||
\(148\) | 7.86827e9 | + | 7.05058e8i | 1.34804 | + | 0.120794i | ||||
\(149\) | −2.13779e9 | − | 2.13779e9i | −0.355326 | − | 0.355326i | 0.506761 | − | 0.862087i | \(-0.330843\pi\) |
−0.862087 | + | 0.506761i | \(0.830843\pi\) | |||||||
\(150\) | −6.13890e8 | − | 2.87048e8i | −0.0990102 | − | 0.0462960i | ||||
\(151\) | − | 3.46899e9i | − | 0.543009i | −0.962437 | − | 0.271504i | \(-0.912479\pi\) | ||
0.962437 | − | 0.271504i | \(-0.0875211\pi\) | |||||||
\(152\) | −1.18464e9 | − | 4.47756e9i | −0.180007 | − | 0.680370i | ||||
\(153\) | 1.41051e10i | 2.08096i | ||||||||
\(154\) | 4.23246e8 | − | 9.05167e8i | 0.0606386 | − | 0.129684i | ||||
\(155\) | −4.04235e9 | − | 4.04235e9i | −0.562525 | − | 0.562525i | ||||
\(156\) | −1.10329e10 | − | 1.32047e10i | −1.49151 | − | 1.78513i | ||||
\(157\) | 3.15259e9 | − | 3.15259e9i | 0.414113 | − | 0.414113i | −0.469056 | − | 0.883169i | \(-0.655406\pi\) |
0.883169 | + | 0.469056i | \(0.155406\pi\) | |||||||
\(158\) | 2.83846e9 | − | 1.02974e9i | 0.362348 | − | 0.131453i | ||||
\(159\) | 1.88061e9 | 0.233352 | ||||||||
\(160\) | −4.95053e9 | + | 6.99159e9i | −0.597189 | + | 0.843404i | ||||
\(161\) | −9.40780e8 | −0.110350 | ||||||||
\(162\) | 5.78616e8 | − | 2.09911e8i | 0.0660044 | − | 0.0239451i | ||||
\(163\) | −6.08281e9 | + | 6.08281e9i | −0.674932 | + | 0.674932i | −0.958849 | − | 0.283917i | \(-0.908366\pi\) |
0.283917 | + | 0.958849i | \(0.408366\pi\) | |||||||
\(164\) | −2.14322e9 | − | 2.56512e9i | −0.231350 | − | 0.276892i | ||||
\(165\) | 9.98349e8 | + | 9.98349e8i | 0.104859 | + | 0.104859i | ||||
\(166\) | −3.11745e9 | + | 6.66709e9i | −0.318650 | + | 0.681475i | ||||
\(167\) | 6.22360e9i | 0.619181i | 0.950870 | + | 0.309590i | \(0.100192\pi\) | ||||
−0.950870 | + | 0.309590i | \(0.899808\pi\) | |||||||
\(168\) | 2.57538e10 | − | 6.81373e9i | 2.49430 | − | 0.659923i | ||||
\(169\) | − | 1.15842e10i | − | 1.09239i | ||||||
\(170\) | 1.33743e10 | + | 6.25368e9i | 1.22815 | + | 0.574270i | ||||
\(171\) | −8.82585e9 | − | 8.82585e9i | −0.789358 | − | 0.789358i | ||||
\(172\) | −1.45532e10 | − | 1.30408e9i | −1.26789 | − | 0.113613i | ||||
\(173\) | −1.38445e9 | + | 1.38445e9i | −0.117509 | + | 0.117509i | −0.763416 | − | 0.645907i | \(-0.776479\pi\) |
0.645907 | + | 0.763416i | \(0.276479\pi\) | |||||||
\(174\) | 1.99785e9 | + | 5.50706e9i | 0.165231 | + | 0.455458i | ||||
\(175\) | 1.35292e9 | 0.109043 | ||||||||
\(176\) | 9.33160e8 | − | 6.47575e8i | 0.0733076 | − | 0.0508725i | ||||
\(177\) | −1.55338e10 | −1.18959 | ||||||||
\(178\) | −5.05459e9 | − | 1.39329e10i | −0.377395 | − | 1.04028i | ||||
\(179\) | −1.17795e10 | + | 1.17795e10i | −0.857606 | + | 0.857606i | −0.991056 | − | 0.133450i | \(-0.957395\pi\) |
0.133450 | + | 0.991056i | \(0.457395\pi\) | |||||||
\(180\) | −2.06047e9 | + | 2.29943e10i | −0.146298 | + | 1.63265i | ||||
\(181\) | 8.12486e9 | + | 8.12486e9i | 0.562681 | + | 0.562681i | 0.930068 | − | 0.367387i | \(-0.119748\pi\) |
−0.367387 | + | 0.930068i | \(0.619748\pi\) | |||||||
\(182\) | 3.11183e10 | + | 1.45506e10i | 2.10230 | + | 0.983011i | ||||
\(183\) | − | 1.84770e10i | − | 1.21787i | ||||||
\(184\) | −9.24437e8 | − | 5.37618e8i | −0.0594562 | − | 0.0345775i | ||||
\(185\) | − | 2.22838e10i | − | 1.39868i | ||||||
\(186\) | −8.55936e9 | + | 1.83054e10i | −0.524365 | + | 1.12142i | ||||
\(187\) | −1.38419e9 | − | 1.38419e9i | −0.0827767 | − | 0.0827767i | ||||
\(188\) | 9.66576e9 | − | 8.07597e9i | 0.564321 | − | 0.471503i | ||||
\(189\) | 1.87601e10 | − | 1.87601e10i | 1.06944 | − | 1.06944i | ||||
\(190\) | −1.22817e10 | + | 4.45555e9i | −0.683702 | + | 0.248033i | ||||
\(191\) | 3.57916e10 | 1.94595 | 0.972973 | − | 0.230921i | \(-0.0741738\pi\) | ||||
0.972973 | + | 0.230921i | \(0.0741738\pi\) | |||||||
\(192\) | 2.92002e10 | + | 8.02190e9i | 1.55071 | + | 0.426012i | ||||
\(193\) | 1.03490e10 | 0.536897 | 0.268448 | − | 0.963294i | \(-0.413489\pi\) | ||||
0.268448 | + | 0.963294i | \(0.413489\pi\) | |||||||
\(194\) | −1.00948e10 | + | 3.66220e9i | −0.511670 | + | 0.185624i | ||||
\(195\) | −3.43218e10 | + | 3.43218e10i | −1.69986 | + | 1.69986i | ||||
\(196\) | −2.49574e10 | + | 2.08525e10i | −1.20794 | + | 1.00927i | ||||
\(197\) | −1.22315e10 | − | 1.22315e10i | −0.578605 | − | 0.578605i | 0.355914 | − | 0.934519i | \(-0.384170\pi\) |
−0.934519 | + | 0.355914i | \(0.884170\pi\) | |||||||
\(198\) | 1.29653e9 | − | 2.77281e9i | 0.0599501 | − | 0.128211i | ||||
\(199\) | − | 5.73493e8i | − | 0.0259232i | −0.999916 | − | 0.0129616i | \(-0.995874\pi\) | ||
0.999916 | − | 0.0129616i | \(-0.00412593\pi\) | |||||||
\(200\) | 1.32941e9 | + | 7.73138e8i | 0.0587523 | + | 0.0341682i | ||||
\(201\) | 6.80683e10i | 2.94146i | ||||||||
\(202\) | −8.63002e9 | − | 4.03529e9i | −0.364696 | − | 0.170527i | ||||
\(203\) | −8.26981e9 | − | 8.26981e9i | −0.341793 | − | 0.341793i | ||||
\(204\) | 4.65784e9 | − | 5.19804e10i | 0.188299 | − | 2.10138i | ||||
\(205\) | −6.66726e9 | + | 6.66726e9i | −0.263667 | + | 0.263667i | ||||
\(206\) | −1.21054e10 | − | 3.33683e10i | −0.468355 | − | 1.29102i | ||||
\(207\) | −2.88190e9 | −0.109097 | ||||||||
\(208\) | 2.22627e10 | + | 3.20807e10i | 0.824693 | + | 1.18839i | ||||
\(209\) | 1.73223e9 | 0.0627983 | ||||||||
\(210\) | −2.56272e10 | − | 7.06412e10i | −0.909316 | − | 2.50652i | ||||
\(211\) | 2.18016e10 | − | 2.18016e10i | 0.757213 | − | 0.757213i | −0.218601 | − | 0.975814i | \(-0.570149\pi\) |
0.975814 | + | 0.218601i | \(0.0701494\pi\) | |||||||
\(212\) | −4.25067e9 | − | 3.80893e8i | −0.144526 | − | 0.0129506i | ||||
\(213\) | −2.63451e10 | − | 2.63451e10i | −0.876985 | − | 0.876985i | ||||
\(214\) | −1.81268e10 | − | 8.47586e9i | −0.590825 | − | 0.276263i | ||||
\(215\) | 4.12164e10i | 1.31552i | ||||||||
\(216\) | 2.91548e10 | − | 7.71355e9i | 0.911315 | − | 0.241108i | ||||
\(217\) | − | 4.03421e10i | − | 1.23506i | ||||||
\(218\) | 1.55671e10 | − | 3.32924e10i | 0.466825 | − | 0.998367i | ||||
\(219\) | 3.42925e10 | + | 3.42925e10i | 1.00740 | + | 1.00740i | ||||
\(220\) | −2.05433e9 | − | 2.45873e9i | −0.0591245 | − | 0.0707634i | ||||
\(221\) | 4.75864e10 | − | 4.75864e10i | 1.34189 | − | 1.34189i | ||||
\(222\) | −7.40471e10 | + | 2.68628e10i | −2.04607 | + | 0.742272i | ||||
\(223\) | 2.96078e10 | 0.801743 | 0.400871 | − | 0.916134i | \(-0.368707\pi\) | ||||
0.400871 | + | 0.916134i | \(0.368707\pi\) | |||||||
\(224\) | −5.95903e10 | + | 1.01847e10i | −1.58146 | + | 0.270292i | ||||
\(225\) | 4.14440e9 | 0.107805 | ||||||||
\(226\) | −4.83468e10 | + | 1.75392e10i | −1.23276 | + | 0.447222i | ||||
\(227\) | −1.21872e9 | + | 1.21872e9i | −0.0304640 | + | 0.0304640i | −0.722175 | − | 0.691711i | \(-0.756857\pi\) |
0.691711 | + | 0.722175i | \(0.256857\pi\) | |||||||
\(228\) | 2.96108e10 | + | 3.54398e10i | 0.725676 | + | 0.868529i | ||||
\(229\) | −3.80541e10 | − | 3.80541e10i | −0.914412 | − | 0.914412i | 0.0822039 | − | 0.996616i | \(-0.473804\pi\) |
−0.996616 | + | 0.0822039i | \(0.973804\pi\) | |||||||
\(230\) | −1.27773e9 | + | 2.73260e9i | −0.0301068 | + | 0.0643874i | ||||
\(231\) | 9.96337e9i | 0.230225i | ||||||||
\(232\) | −3.40028e9 | − | 1.28520e10i | −0.0770583 | − | 0.291256i | ||||
\(233\) | 7.40924e10i | 1.64692i | 0.567376 | + | 0.823459i | \(0.307959\pi\) | ||||
−0.567376 | + | 0.823459i | \(0.692041\pi\) | |||||||
\(234\) | 9.53251e10 | + | 4.45729e10i | 2.07843 | + | 0.971851i | ||||
\(235\) | −2.51233e10 | − | 2.51233e10i | −0.537367 | − | 0.537367i | ||||
\(236\) | 3.51104e10 | + | 3.14616e9i | 0.736769 | + | 0.0660201i | ||||
\(237\) | −2.12890e10 | + | 2.12890e10i | −0.438317 | + | 0.438317i | ||||
\(238\) | 3.55316e10 | + | 9.79424e10i | 0.717824 | + | 1.97867i | ||||
\(239\) | −1.39633e10 | −0.276819 | −0.138410 | − | 0.990375i | \(-0.544199\pi\) | ||||
−0.138410 | + | 0.990375i | \(0.544199\pi\) | |||||||
\(240\) | 1.51866e10 | − | 8.40590e10i | 0.295468 | − | 1.63544i | ||||
\(241\) | 8.12591e10 | 1.55166 | 0.775828 | − | 0.630945i | \(-0.217333\pi\) | ||||
0.775828 | + | 0.630945i | \(0.217333\pi\) | |||||||
\(242\) | −1.80506e10 | − | 4.97564e10i | −0.338317 | − | 0.932567i | ||||
\(243\) | −4.05702e10 | + | 4.05702e10i | −0.746412 | + | 0.746412i | ||||
\(244\) | −3.74226e9 | + | 4.17627e10i | −0.0675896 | + | 0.754284i | ||||
\(245\) | 6.48693e10 | + | 6.48693e10i | 1.15025 | + | 1.15025i | ||||
\(246\) | 3.01920e10 | + | 1.41174e10i | 0.525634 | + | 0.245780i | ||||
\(247\) | 5.95517e10i | 1.01802i | ||||||||
\(248\) | 2.30539e10 | − | 3.96413e10i | 0.387001 | − | 0.665449i | ||||
\(249\) | − | 7.33861e10i | − | 1.20981i | ||||||
\(250\) | −2.51980e10 | + | 5.38894e10i | −0.407978 | + | 0.872515i | ||||
\(251\) | −6.02078e10 | − | 6.02078e10i | −0.957461 | − | 0.957461i | 0.0416704 | − | 0.999131i | \(-0.486732\pi\) |
−0.999131 | + | 0.0416704i | \(0.986732\pi\) | |||||||
\(252\) | −1.25022e11 | + | 1.04458e11i | −1.95291 | + | 1.63170i | ||||
\(253\) | 2.82813e8 | − | 2.82813e8i | 0.00433967 | − | 0.00433967i | ||||
\(254\) | 3.15395e10 | − | 1.14419e10i | 0.475449 | − | 0.172483i | ||||
\(255\) | −1.47214e11 | −2.18031 | ||||||||
\(256\) | −6.43752e10 | − | 2.40457e10i | −0.936783 | − | 0.349911i | ||||
\(257\) | 3.71313e10 | 0.530934 | 0.265467 | − | 0.964120i | \(-0.414474\pi\) | ||||
0.265467 | + | 0.964120i | \(0.414474\pi\) | |||||||
\(258\) | 1.36958e11 | − | 4.96857e10i | 1.92442 | − | 0.698141i | ||||
\(259\) | 1.11195e11 | − | 1.11195e11i | 1.53545 | − | 1.53545i | ||||
\(260\) | 8.45275e10 | − | 7.06247e10i | 1.14714 | − | 0.958466i | ||||
\(261\) | −2.53330e10 | − | 2.53330e10i | −0.337913 | − | 0.337913i | ||||
\(262\) | 1.55761e10 | − | 3.33116e10i | 0.204223 | − | 0.436757i | ||||
\(263\) | − | 8.71366e10i | − | 1.12305i | −0.827459 | − | 0.561526i | \(-0.810215\pi\) | ||
0.827459 | − | 0.561526i | \(-0.189785\pi\) | |||||||
\(264\) | −5.69367e9 | + | 9.79029e9i | −0.0721398 | + | 0.124045i | ||||
\(265\) | 1.20384e10i | 0.149955i | ||||||||
\(266\) | −8.35176e10 | − | 3.90518e10i | −1.02285 | − | 0.478271i | ||||
\(267\) | 1.04500e11 | + | 1.04500e11i | 1.25839 | + | 1.25839i | ||||
\(268\) | 1.37863e10 | − | 1.53852e11i | 0.163246 | − | 1.82178i | ||||
\(269\) | −1.12331e11 | + | 1.12331e11i | −1.30802 | + | 1.30802i | −0.385182 | + | 0.922841i | \(0.625861\pi\) |
−0.922841 | + | 0.385182i | \(0.874139\pi\) | |||||||
\(270\) | −2.90115e10 | − | 7.99701e10i | −0.332226 | − | 0.915779i | ||||
\(271\) | 1.08524e11 | 1.22226 | 0.611128 | − | 0.791532i | \(-0.290716\pi\) | ||||
0.611128 | + | 0.791532i | \(0.290716\pi\) | |||||||
\(272\) | −2.10559e10 | + | 1.16546e11i | −0.233245 | + | 1.29103i | ||||
\(273\) | −3.42526e11 | −3.73217 | ||||||||
\(274\) | 5.11424e10 | + | 1.40973e11i | 0.548155 | + | 1.51098i | ||||
\(275\) | −4.06707e8 | + | 4.06707e8i | −0.00428830 | + | 0.00428830i | ||||
\(276\) | 1.06205e10 | + | 9.51675e8i | 0.110167 | + | 0.00987184i | ||||
\(277\) | 1.21041e10 | + | 1.21041e10i | 0.123531 | + | 0.123531i | 0.766169 | − | 0.642639i | \(-0.222160\pi\) |
−0.642639 | + | 0.766169i | \(0.722160\pi\) | |||||||
\(278\) | 7.70277e10 | + | 3.60172e10i | 0.773473 | + | 0.361667i | ||||
\(279\) | − | 1.23580e11i | − | 1.22104i | ||||||
\(280\) | 4.36168e10 | + | 1.64858e11i | 0.424075 | + | 1.60287i | ||||
\(281\) | − | 4.04347e10i | − | 0.386879i | −0.981112 | − | 0.193440i | \(-0.938036\pi\) | ||
0.981112 | − | 0.193440i | \(-0.0619644\pi\) | |||||||
\(282\) | −5.31966e10 | + | 1.13768e11i | −0.500913 | + | 1.07127i | ||||
\(283\) | −7.79605e10 | − | 7.79605e10i | −0.722497 | − | 0.722497i | 0.246616 | − | 0.969113i | \(-0.420681\pi\) |
−0.969113 | + | 0.246616i | \(0.920681\pi\) | |||||||
\(284\) | 5.42110e10 | + | 6.48827e10i | 0.494487 | + | 0.591829i | ||||
\(285\) | 9.21152e10 | − | 9.21152e10i | 0.827046 | − | 0.827046i | ||||
\(286\) | −1.37288e10 | + | 4.98053e9i | −0.121335 | + | 0.0440178i | ||||
\(287\) | −6.65383e10 | −0.578900 | ||||||||
\(288\) | −1.82544e11 | + | 3.11989e10i | −1.56351 | + | 0.267223i | ||||
\(289\) | 8.55214e10 | 0.721165 | ||||||||
\(290\) | −3.52524e10 | + | 1.27889e10i | −0.292683 | + | 0.106180i | ||||
\(291\) | 7.57132e10 | − | 7.57132e10i | 0.618946 | − | 0.618946i | ||||
\(292\) | −7.05644e10 | − | 8.44554e10i | −0.568019 | − | 0.679837i | ||||
\(293\) | 8.27378e10 | + | 8.27378e10i | 0.655843 | + | 0.655843i | 0.954394 | − | 0.298551i | \(-0.0965032\pi\) |
−0.298551 | + | 0.954394i | \(0.596503\pi\) | |||||||
\(294\) | 1.37356e11 | − | 2.93754e11i | 1.07222 | − | 2.29309i | ||||
\(295\) | − | 9.94364e10i | − | 0.764445i | ||||||
\(296\) | 1.72806e11 | − | 4.57197e10i | 1.30842 | − | 0.346171i | ||||
\(297\) | 1.12791e10i | 0.0841147i | ||||||||
\(298\) | −6.19694e10 | − | 2.89761e10i | −0.455202 | − | 0.212847i | ||||
\(299\) | 9.72269e9 | + | 9.72269e9i | 0.0703503 | + | 0.0703503i | ||||
\(300\) | −1.52731e10 | − | 1.36858e9i | −0.108863 | − | 0.00975497i | ||||
\(301\) | −2.05667e11 | + | 2.05667e11i | −1.44416 | + | 1.44416i | ||||
\(302\) | −2.67691e10 | − | 7.37887e10i | −0.185183 | − | 0.510456i | ||||
\(303\) | 9.49925e10 | 0.647437 | ||||||||
\(304\) | −5.97502e10 | − | 8.61004e10i | −0.401243 | − | 0.578195i | ||||
\(305\) | 1.18277e11 | 0.782618 | ||||||||
\(306\) | 1.08844e11 | + | 3.00028e11i | 0.709674 | + | 1.95621i | ||||
\(307\) | −1.08291e11 | + | 1.08291e11i | −0.695775 | + | 0.695775i | −0.963496 | − | 0.267721i | \(-0.913729\pi\) |
0.267721 | + | 0.963496i | \(0.413729\pi\) | |||||||
\(308\) | 2.01795e9 | − | 2.25198e10i | 0.0127771 | − | 0.142589i | ||||
\(309\) | 2.50269e11 | + | 2.50269e11i | 1.56169 | + | 1.56169i | ||||
\(310\) | −1.17178e11 | − | 5.47911e10i | −0.720641 | − | 0.336963i | ||||
\(311\) | − | 4.39813e10i | − | 0.266592i | −0.991076 | − | 0.133296i | \(-0.957444\pi\) | ||
0.991076 | − | 0.133296i | \(-0.0425561\pi\) | |||||||
\(312\) | −3.36576e11 | − | 1.95740e11i | −2.01089 | − | 1.16946i | ||||
\(313\) | − | 1.54465e11i | − | 0.909661i | −0.890578 | − | 0.454830i | \(-0.849700\pi\) | ||
0.890578 | − | 0.454830i | \(-0.150300\pi\) | |||||||
\(314\) | 4.27310e10 | − | 9.13860e10i | 0.248062 | − | 0.530513i | ||||
\(315\) | 3.24956e11 | + | 3.24956e11i | 1.85963 | + | 1.85963i | ||||
\(316\) | 5.24305e10 | − | 4.38069e10i | 0.295796 | − | 0.247144i | ||||
\(317\) | −1.27450e11 | + | 1.27450e11i | −0.708883 | + | 0.708883i | −0.966300 | − | 0.257417i | \(-0.917129\pi\) |
0.257417 | + | 0.966300i | \(0.417129\pi\) | |||||||
\(318\) | 4.00024e10 | − | 1.45121e10i | 0.219363 | − | 0.0795806i | ||||
\(319\) | 4.97207e9 | 0.0268831 | ||||||||
\(320\) | −5.13507e10 | + | 1.86919e11i | −0.273761 | + | 0.996504i | ||||
\(321\) | 1.99525e11 | 1.04888 | ||||||||
\(322\) | −2.00113e10 | + | 7.25969e9i | −0.103735 | + | 0.0376328i | ||||
\(323\) | −1.27716e11 | + | 1.27716e11i | −0.652879 | + | 0.652879i | ||||
\(324\) | 1.06879e10 | − | 8.92999e9i | 0.0538815 | − | 0.0450193i | ||||
\(325\) | −1.39820e10 | − | 1.39820e10i | −0.0695175 | − | 0.0695175i | ||||
\(326\) | −8.24481e10 | + | 1.76326e11i | −0.404298 | + | 0.864645i | ||||
\(327\) | 3.66456e11i | 1.77238i | ||||||||
\(328\) | −6.53824e10 | − | 3.80240e10i | −0.311910 | − | 0.181395i | ||||
\(329\) | − | 2.50727e11i | − | 1.17983i | ||||||
\(330\) | 2.89398e10 | + | 1.35319e10i | 0.134333 | + | 0.0628124i | ||||
\(331\) | −9.06780e10 | − | 9.06780e10i | −0.415218 | − | 0.415218i | 0.468334 | − | 0.883552i | \(-0.344854\pi\) |
−0.883552 | + | 0.468334i | \(0.844854\pi\) | |||||||
\(332\) | −1.48634e10 | + | 1.65872e11i | −0.0671422 | + | 0.749291i | ||||
\(333\) | 3.40624e11 | − | 3.40624e11i | 1.51801 | − | 1.51801i | ||||
\(334\) | 4.80255e10 | + | 1.32382e11i | 0.211161 | + | 0.582062i | ||||
\(335\) | −4.35726e11 | −1.89022 | ||||||||
\(336\) | 4.95228e11 | − | 3.43668e11i | 2.11972 | − | 1.47100i | ||||
\(337\) | −3.20838e11 | −1.35504 | −0.677519 | − | 0.735505i | \(-0.736945\pi\) | ||||
−0.677519 | + | 0.735505i | \(0.736945\pi\) | |||||||
\(338\) | −8.93917e10 | − | 2.46407e11i | −0.372539 | − | 1.02690i | ||||
\(339\) | 3.62611e11 | − | 3.62611e11i | 1.49122 | − | 1.49122i | ||||
\(340\) | 3.32743e11 | + | 2.98163e10i | 1.35037 | + | 0.121004i | ||||
\(341\) | 1.21274e10 | + | 1.21274e10i | 0.0485707 | + | 0.0485707i | ||||
\(342\) | −2.55840e11 | − | 1.19628e11i | −1.01123 | − | 0.472841i | ||||
\(343\) | 2.36109e11i | 0.921061i | ||||||||
\(344\) | −3.19624e11 | + | 8.45636e10i | −1.23063 | + | 0.325589i | ||||
\(345\) | − | 3.00783e10i | − | 0.114306i | ||||||
\(346\) | −1.87652e10 | + | 4.01319e10i | −0.0703899 | + | 0.150538i | ||||
\(347\) | −3.04577e11 | − | 3.04577e11i | −1.12775 | − | 1.12775i | −0.990542 | − | 0.137211i | \(-0.956186\pi\) |
−0.137211 | − | 0.990542i | \(-0.543814\pi\) | |||||||
\(348\) | 8.49924e10 | + | 1.01724e11i | 0.310651 | + | 0.371805i | ||||
\(349\) | 1.57267e11 | − | 1.57267e11i | 0.567443 | − | 0.567443i | −0.363968 | − | 0.931411i | \(-0.618578\pi\) |
0.931411 | + | 0.363968i | \(0.118578\pi\) | |||||||
\(350\) | 2.87778e10 | − | 1.04400e10i | 0.102506 | − | 0.0371873i | ||||
\(351\) | −3.87760e11 | −1.36358 | ||||||||
\(352\) | 1.48521e10 | − | 2.09754e10i | 0.0515638 | − | 0.0728230i | ||||
\(353\) | 3.52753e11 | 1.20916 | 0.604581 | − | 0.796544i | \(-0.293341\pi\) | ||||
0.604581 | + | 0.796544i | \(0.293341\pi\) | |||||||
\(354\) | −3.30418e11 | + | 1.19869e11i | −1.11828 | + | 0.405688i | ||||
\(355\) | 1.68643e11 | − | 1.68643e11i | 0.563562 | − | 0.563562i | ||||
\(356\) | −2.15032e11 | − | 2.57362e11i | −0.709541 | − | 0.849217i | ||||
\(357\) | −7.34588e11 | − | 7.34588e11i | −2.39352 | − | 2.39352i | ||||
\(358\) | −1.59662e11 | + | 3.41459e11i | −0.513723 | + | 1.09866i | ||||
\(359\) | 2.67473e11i | 0.849875i | 0.905223 | + | 0.424937i | \(0.139704\pi\) | ||||
−0.905223 | + | 0.424937i | \(0.860296\pi\) | |||||||
\(360\) | 1.33612e11 | + | 5.05011e11i | 0.419260 | + | 1.58467i | ||||
\(361\) | 1.62859e11i | 0.504695i | ||||||||
\(362\) | 2.35520e11 | + | 1.10126e11i | 0.720841 | + | 0.337057i | ||||
\(363\) | 3.73184e11 | + | 3.73184e11i | 1.12809 | + | 1.12809i | ||||
\(364\) | 7.74198e11 | + | 6.93741e10i | 2.31151 | + | 0.207129i | ||||
\(365\) | −2.19517e11 | + | 2.19517e11i | −0.647366 | + | 0.647366i | ||||
\(366\) | −1.42581e11 | − | 3.93022e11i | −0.415333 | − | 1.14486i | ||||
\(367\) | 1.71823e11 | 0.494406 | 0.247203 | − | 0.968964i | \(-0.420489\pi\) | ||||
0.247203 | + | 0.968964i | \(0.420489\pi\) | |||||||
\(368\) | −2.38123e10 | − | 4.30207e9i | −0.0676839 | − | 0.0122282i | ||||
\(369\) | −2.03827e11 | −0.572327 | ||||||||
\(370\) | −1.71957e11 | − | 4.73998e11i | −0.476993 | − | 1.31483i | ||||
\(371\) | −6.00706e10 | + | 6.00706e10i | −0.164619 | + | 0.164619i | ||||
\(372\) | −4.08093e10 | + | 4.55422e11i | −0.110488 | + | 1.23302i | ||||
\(373\) | 8.91351e10 | + | 8.91351e10i | 0.238429 | + | 0.238429i | 0.816199 | − | 0.577770i | \(-0.196077\pi\) |
−0.577770 | + | 0.816199i | \(0.696077\pi\) | |||||||
\(374\) | −4.01243e10 | − | 1.87617e10i | −0.106044 | − | 0.0495848i | ||||
\(375\) | − | 5.93172e11i | − | 1.54896i | ||||||
\(376\) | 1.43280e11 | − | 2.46371e11i | 0.369693 | − | 0.635688i | ||||
\(377\) | 1.70932e11i | 0.435801i | ||||||||
\(378\) | 2.54279e11 | − | 5.43810e11i | 0.640616 | − | 1.37004i | ||||
\(379\) | 1.44679e8 | + | 1.44679e8i | 0.000360189 | + | 0.000360189i | 0.707287 | − | 0.706927i | \(-0.249919\pi\) |
−0.706927 | + | 0.707287i | \(0.749919\pi\) | |||||||
\(380\) | −2.26861e11 | + | 1.89548e11i | −0.558128 | + | 0.466329i | ||||
\(381\) | −2.36553e11 | + | 2.36553e11i | −0.575130 | + | 0.575130i | ||||
\(382\) | 7.61320e11 | − | 2.76192e11i | 1.82929 | − | 0.663630i | ||||
\(383\) | 3.00989e11 | 0.714754 | 0.357377 | − | 0.933960i | \(-0.383671\pi\) | ||||
0.357377 | + | 0.933960i | \(0.383671\pi\) | |||||||
\(384\) | 6.83018e11 | − | 5.46948e10i | 1.60303 | − | 0.128368i | ||||
\(385\) | −6.37786e10 | −0.147946 | ||||||||
\(386\) | 2.20133e11 | − | 7.98599e10i | 0.504711 | − | 0.183099i | ||||
\(387\) | −6.30021e11 | + | 6.30021e11i | −1.42776 | + | 1.42776i | ||||
\(388\) | −1.86466e11 | + | 1.55797e11i | −0.417693 | + | 0.348992i | ||||
\(389\) | 5.70737e10 | + | 5.70737e10i | 0.126376 | + | 0.126376i | 0.767466 | − | 0.641090i | \(-0.221518\pi\) |
−0.641090 | + | 0.767466i | \(0.721518\pi\) | |||||||
\(390\) | −4.65206e11 | + | 9.94907e11i | −1.01825 | + | 2.17767i | ||||
\(391\) | 4.17029e10i | 0.0902342i | ||||||||
\(392\) | −3.69955e11 | + | 6.36140e11i | −0.791338 | + | 1.36071i | ||||
\(393\) | 3.66668e11i | 0.775367i | ||||||||
\(394\) | −3.54562e11 | − | 1.65789e11i | −0.741241 | − | 0.346596i | ||||
\(395\) | −1.36278e11 | − | 1.36278e11i | −0.281668 | − | 0.281668i | ||||
\(396\) | 6.18160e9 | − | 6.89852e10i | 0.0126320 | − | 0.140970i | ||||
\(397\) | 3.84655e11 | − | 3.84655e11i | 0.777167 | − | 0.777167i | −0.202181 | − | 0.979348i | \(-0.564803\pi\) |
0.979348 | + | 0.202181i | \(0.0648030\pi\) | |||||||
\(398\) | −4.42546e9 | − | 1.21987e10i | −0.00884065 | − | 0.0243692i | ||||
\(399\) | 9.19296e11 | 1.81584 | ||||||||
\(400\) | 3.42439e10 | + | 6.18671e9i | 0.0668827 | + | 0.0120834i | ||||
\(401\) | 7.63159e11 | 1.47389 | 0.736945 | − | 0.675952i | \(-0.236267\pi\) | ||||
0.736945 | + | 0.675952i | \(0.236267\pi\) | |||||||
\(402\) | 5.25261e11 | + | 1.44788e12i | 1.00313 | + | 2.76512i | ||||
\(403\) | −4.16924e11 | + | 4.16924e11i | −0.787379 | + | 0.787379i | ||||
\(404\) | −2.14708e11 | − | 1.92395e10i | −0.400988 | − | 0.0359316i | ||||
\(405\) | −2.77800e10 | − | 2.77800e10i | −0.0513080 | − | 0.0513080i | ||||
\(406\) | −2.39722e11 | − | 1.12091e11i | −0.437866 | − | 0.204741i | ||||
\(407\) | 6.68536e10i | 0.120767i | ||||||||
\(408\) | −3.02039e11 | − | 1.14162e12i | −0.539626 | − | 2.03962i | ||||
\(409\) | − | 3.83888e11i | − | 0.678344i | −0.940724 | − | 0.339172i | \(-0.889853\pi\) | ||
0.940724 | − | 0.339172i | \(-0.110147\pi\) | |||||||
\(410\) | −9.03699e10 | + | 1.93268e11i | −0.157942 | + | 0.337779i | ||||
\(411\) | −1.05733e12 | − | 1.05733e12i | −1.82777 | − | 1.82777i | ||||
\(412\) | −5.14985e11 | − | 6.16362e11i | −0.880556 | − | 1.05390i | ||||
\(413\) | 4.96180e11 | − | 4.96180e11i | 0.839198 | − | 0.839198i | ||||
\(414\) | −6.13007e10 | + | 2.22387e10i | −0.102557 | + | 0.0372055i | ||||
\(415\) | 4.69767e11 | 0.777438 | ||||||||
\(416\) | 7.21105e11 | + | 5.10592e11i | 1.18053 | + | 0.835900i | ||||
\(417\) | −8.47860e11 | −1.37313 | ||||||||
\(418\) | 3.68462e10 | − | 1.33671e10i | 0.0590337 | − | 0.0214162i | ||||
\(419\) | −7.35547e10 | + | 7.35547e10i | −0.116586 | + | 0.116586i | −0.762993 | − | 0.646407i | \(-0.776271\pi\) |
0.646407 | + | 0.762993i | \(0.276271\pi\) | |||||||
\(420\) | −1.09023e12 | − | 1.30485e12i | −1.70961 | − | 2.04615i | ||||
\(421\) | 6.24756e11 | + | 6.24756e11i | 0.969261 | + | 0.969261i | 0.999541 | − | 0.0302802i | \(-0.00963995\pi\) |
−0.0302802 | + | 0.999541i | \(0.509640\pi\) | |||||||
\(422\) | 2.95505e11 | − | 6.31978e11i | 0.453585 | − | 0.970053i | ||||
\(423\) | − | 7.68053e11i | − | 1.16643i | ||||||
\(424\) | −9.33550e10 | + | 2.46991e10i | −0.140279 | + | 0.0371137i | ||||
\(425\) | − | 5.99721e10i | − | 0.0891660i | ||||||
\(426\) | −7.63683e11 | − | 3.57089e11i | −1.12349 | − | 0.525331i | ||||
\(427\) | 5.90192e11 | + | 5.90192e11i | 0.859148 | + | 0.859148i | ||||
\(428\) | −4.50979e11 | − | 4.04112e10i | −0.649620 | − | 0.0582109i | ||||
\(429\) | 1.02969e11 | − | 1.02969e11i | 0.146773 | − | 0.146773i | ||||
\(430\) | 3.18053e11 | + | 8.76711e11i | 0.448634 | + | 1.23665i | ||||
\(431\) | −1.73785e11 | −0.242586 | −0.121293 | − | 0.992617i | \(-0.538704\pi\) | ||||
−0.121293 | + | 0.992617i | \(0.538704\pi\) | |||||||
\(432\) | 5.60628e11 | − | 3.89053e11i | 0.774458 | − | 0.537442i | ||||
\(433\) | −8.23069e11 | −1.12523 | −0.562614 | − | 0.826719i | \(-0.690204\pi\) | ||||
−0.562614 | + | 0.826719i | \(0.690204\pi\) | |||||||
\(434\) | −3.11307e11 | − | 8.58114e11i | −0.421196 | − | 1.16102i | ||||
\(435\) | 2.64400e11 | − | 2.64400e11i | 0.354046 | − | 0.354046i | ||||
\(436\) | 7.42208e10 | − | 8.28286e11i | 0.0983640 | − | 1.09772i | ||||
\(437\) | −2.60944e10 | − | 2.60944e10i | −0.0342280 | − | 0.0342280i | ||||
\(438\) | 9.94058e11 | + | 4.64809e11i | 1.29056 | + | 0.603450i | ||||
\(439\) | 8.91499e11i | 1.14559i | 0.819697 | + | 0.572797i | \(0.194142\pi\) | ||||
−0.819697 | + | 0.572797i | \(0.805858\pi\) | |||||||
\(440\) | −6.26707e10 | − | 3.64469e10i | −0.0797126 | − | 0.0463579i | ||||
\(441\) | 1.98314e12i | 2.49678i | ||||||||
\(442\) | 6.44998e11 | − | 1.37942e12i | 0.803819 | − | 1.71907i | ||||
\(443\) | 4.53578e11 | + | 4.53578e11i | 0.559545 | + | 0.559545i | 0.929178 | − | 0.369633i | \(-0.120517\pi\) |
−0.369633 | + | 0.929178i | \(0.620517\pi\) | |||||||
\(444\) | −1.36776e12 | + | 1.14279e12i | −1.67027 | + | 1.39555i | ||||
\(445\) | −6.68935e11 | + | 6.68935e11i | −0.808656 | + | 0.808656i | ||||
\(446\) | 6.29787e11 | − | 2.28474e11i | 0.753679 | − | 0.273420i | ||||
\(447\) | 6.82110e11 | 0.808111 | ||||||||
\(448\) | −1.18895e12 | + | 6.76477e11i | −1.39448 | + | 0.793418i | ||||
\(449\) | 4.70874e11 | 0.546759 | 0.273379 | − | 0.961906i | \(-0.411859\pi\) | ||||
0.273379 | + | 0.961906i | \(0.411859\pi\) | |||||||
\(450\) | 8.81553e10 | − | 3.19810e10i | 0.101343 | − | 0.0367651i | ||||
\(451\) | 2.00024e10 | − | 2.00024e10i | 0.0227661 | − | 0.0227661i | ||||
\(452\) | −8.93037e11 | + | 7.46153e11i | −1.00634 | + | 0.840823i | ||||
\(453\) | 5.53430e11 | + | 5.53430e11i | 0.617477 | + | 0.617477i | ||||
\(454\) | −1.65188e10 | + | 3.53278e10i | −0.0182485 | + | 0.0390270i | ||||
\(455\) | − | 2.19262e12i | − | 2.39834i | ||||||
\(456\) | 9.03326e11 | + | 5.25341e11i | 0.978369 | + | 0.568983i | ||||
\(457\) | 8.33482e11i | 0.893868i | 0.894567 | + | 0.446934i | \(0.147484\pi\) | ||||
−0.894567 | + | 0.446934i | \(0.852516\pi\) | |||||||
\(458\) | −1.10310e12 | − | 5.15795e11i | −1.17144 | − | 0.547750i | ||||
\(459\) | −8.31598e11 | − | 8.31598e11i | −0.874493 | − | 0.874493i | ||||
\(460\) | −6.09197e9 | + | 6.79849e10i | −0.00634377 | + | 0.0707949i | ||||
\(461\) | −3.12982e10 | + | 3.12982e10i | −0.0322749 | + | 0.0322749i | −0.723060 | − | 0.690785i | \(-0.757265\pi\) |
0.690785 | + | 0.723060i | \(0.257265\pi\) | |||||||
\(462\) | 7.68841e10 | + | 2.11930e11i | 0.0785141 | + | 0.216423i | ||||
\(463\) | 1.38650e11 | 0.140218 | 0.0701092 | − | 0.997539i | \(-0.477665\pi\) | ||||
0.0701092 | + | 0.997539i | \(0.477665\pi\) | |||||||
\(464\) | −1.71502e11 | − | 2.47136e11i | −0.171767 | − | 0.247517i | ||||
\(465\) | 1.28981e12 | 1.27934 | ||||||||
\(466\) | 5.71747e11 | + | 1.57601e12i | 0.561652 | + | 1.54819i | ||||
\(467\) | 8.58766e11 | − | 8.58766e11i | 0.835504 | − | 0.835504i | −0.152759 | − | 0.988263i | \(-0.548816\pi\) |
0.988263 | + | 0.152759i | \(0.0488159\pi\) | |||||||
\(468\) | 2.37161e12 | + | 2.12514e11i | 2.28527 | + | 0.204777i | ||||
\(469\) | −2.17424e12 | − | 2.17424e12i | −2.07506 | − | 2.07506i | ||||
\(470\) | −7.28264e11 | − | 3.40528e11i | −0.688412 | − | 0.321893i | ||||
\(471\) | 1.00591e12i | 0.941810i | ||||||||
\(472\) | 7.71108e11 | − | 2.04013e11i | 0.715116 | − | 0.189199i | ||||
\(473\) | − | 1.23653e11i | − | 0.113587i | ||||||
\(474\) | −2.88557e11 | + | 6.17118e11i | −0.262560 | + | 0.561520i | ||||
\(475\) | 3.75259e10 | + | 3.75259e10i | 0.0338228 | + | 0.0338228i | ||||
\(476\) | 1.51158e12 | + | 1.80914e12i | 1.34958 | + | 1.61526i | ||||
\(477\) | −1.84015e11 | + | 1.84015e11i | −0.162750 | + | 0.162750i | ||||
\(478\) | −2.97012e11 | + | 1.07750e11i | −0.260224 | + | 0.0944043i | ||||
\(479\) | −1.60624e11 | −0.139412 | −0.0697059 | − | 0.997568i | \(-0.522206\pi\) | ||||
−0.0697059 | + | 0.997568i | \(0.522206\pi\) | |||||||
\(480\) | −3.25623e11 | − | 1.90520e12i | −0.279981 | − | 1.63816i | ||||
\(481\) | −2.29833e12 | −1.95776 | ||||||||
\(482\) | 1.72846e12 | − | 6.27050e11i | 1.45864 | − | 0.529164i | ||||
\(483\) | 1.50089e11 | − | 1.50089e11i | 0.125483 | − | 0.125483i | ||||
\(484\) | −7.67908e11 | − | 9.19075e11i | −0.636071 | − | 0.761284i | ||||
\(485\) | 4.84663e11 | + | 4.84663e11i | 0.397743 | + | 0.397743i | ||||
\(486\) | −5.49899e11 | + | 1.17603e12i | −0.447115 | + | 0.956216i | ||||
\(487\) | 7.83392e11i | 0.631101i | 0.948909 | + | 0.315550i | \(0.102189\pi\) | ||||
−0.948909 | + | 0.315550i | \(0.897811\pi\) | |||||||
\(488\) | 2.42668e11 | + | 9.17211e11i | 0.193697 | + | 0.732116i | ||||
\(489\) | − | 1.94086e12i | − | 1.53499i | ||||||
\(490\) | 1.88041e12 | + | 8.79256e11i | 1.47357 | + | 0.689022i | ||||
\(491\) | −1.32511e12 | − | 1.32511e12i | −1.02893 | − | 1.02893i | −0.999569 | − | 0.0293584i | \(-0.990654\pi\) |
−0.0293584 | − | 0.999569i | \(-0.509346\pi\) | |||||||
\(492\) | 7.51151e11 | + | 6.73089e10i | 0.577942 | + | 0.0517880i | ||||
\(493\) | −3.66585e11 | + | 3.66585e11i | −0.279488 | + | 0.279488i | ||||
\(494\) | 4.59541e11 | + | 1.26672e12i | 0.347178 | + | 0.956994i | ||||
\(495\) | −1.95374e11 | −0.146266 | ||||||||
\(496\) | 1.84479e11 | − | 1.02111e12i | 0.136861 | − | 0.757536i | ||||
\(497\) | 1.68303e12 | 1.23734 | ||||||||
\(498\) | −5.66297e11 | − | 1.56099e12i | −0.412584 | − | 1.13728i | ||||
\(499\) | −4.13054e11 | + | 4.13054e11i | −0.298232 | + | 0.298232i | −0.840321 | − | 0.542089i | \(-0.817633\pi\) |
0.542089 | + | 0.840321i | \(0.317633\pi\) | |||||||
\(500\) | −1.20139e11 | + | 1.34072e12i | −0.0859645 | + | 0.959343i | ||||
\(501\) | −9.92891e11 | − | 9.92891e11i | −0.704096 | − | 0.704096i | ||||
\(502\) | −1.74528e12 | − | 8.16073e11i | −1.22659 | − | 0.573538i | ||||
\(503\) | 1.34103e12i | 0.934078i | 0.884237 | + | 0.467039i | \(0.154679\pi\) | ||||
−0.884237 | + | 0.467039i | \(0.845321\pi\) | |||||||
\(504\) | −1.85325e12 | + | 3.18668e12i | −1.27937 | + | 2.19989i | ||||
\(505\) | 6.08076e11i | 0.416051i | ||||||||
\(506\) | 3.83332e9 | − | 8.19807e9i | 0.00259955 | − | 0.00555948i | ||||
\(507\) | 1.84811e12 | + | 1.84811e12i | 1.24220 | + | 1.24220i | ||||
\(508\) | 5.82582e11 | − | 4.86761e11i | 0.388124 | − | 0.324286i | ||||
\(509\) | 1.70149e12 | − | 1.70149e12i | 1.12357 | − | 1.12357i | 0.132364 | − | 0.991201i | \(-0.457743\pi\) |
0.991201 | − | 0.132364i | \(-0.0422569\pi\) | |||||||
\(510\) | −3.13139e12 | + | 1.13600e12i | −2.04961 | + | 0.743557i | ||||
\(511\) | −2.19074e12 | −1.42134 | ||||||||
\(512\) | −1.55487e12 | − | 1.47116e10i | −0.999955 | − | 0.00946116i | ||||
\(513\) | 1.04070e12 | 0.663432 | ||||||||
\(514\) | 7.89817e11 | − | 2.86530e11i | 0.499105 | − | 0.181066i | ||||
\(515\) | −1.60205e12 | + | 1.60205e12i | −1.00356 | + | 1.00356i | ||||
\(516\) | 2.52982e12 | − | 2.11372e12i | 1.57096 | − | 1.31258i | ||||
\(517\) | 7.53722e10 | + | 7.53722e10i | 0.0463985 | + | 0.0463985i | ||||
\(518\) | 1.50716e12 | − | 3.22327e12i | 0.919763 | − | 1.96704i | ||||
\(519\) | − | 4.41740e11i | − | 0.267248i | ||||||
\(520\) | 1.25299e12 | − | 2.15453e12i | 0.751508 | − | 1.29222i | ||||
\(521\) | − | 2.74374e11i | − | 0.163145i | −0.996667 | − | 0.0815725i | \(-0.974006\pi\) | ||
0.996667 | − | 0.0815725i | \(-0.0259942\pi\) | |||||||
\(522\) | −7.34344e11 | − | 3.43370e11i | −0.432894 | − | 0.202416i | ||||
\(523\) | 1.39884e11 | + | 1.39884e11i | 0.0817544 | + | 0.0817544i | 0.746801 | − | 0.665047i | \(-0.231589\pi\) |
−0.665047 | + | 0.746801i | \(0.731589\pi\) | |||||||
\(524\) | 7.42638e10 | − | 8.28766e11i | 0.0430315 | − | 0.480221i | ||||
\(525\) | −2.15839e11 | + | 2.15839e11i | −0.123998 | + | 0.123998i | ||||
\(526\) | −6.72405e11 | − | 1.85348e12i | −0.382997 | − | 1.05573i | ||||
\(527\) | −1.78829e12 | −1.00993 | ||||||||
\(528\) | −4.55612e10 | + | 2.52185e11i | −0.0255119 | + | 0.141210i | ||||
\(529\) | 1.79263e12 | 0.995269 | ||||||||
\(530\) | 9.28962e10 | + | 2.56067e11i | 0.0511395 | + | 0.140966i | ||||
\(531\) | 1.51995e12 | − | 1.51995e12i | 0.829670 | − | 0.829670i | ||||
\(532\) | −2.07785e12 | − | 1.86191e11i | −1.12463 | − | 0.100776i | ||||
\(533\) | 6.87654e11 | + | 6.87654e11i | 0.369061 | + | 0.369061i | ||||
\(534\) | 3.02920e12 | + | 1.41642e12i | 1.61210 | + | 0.753799i | ||||
\(535\) | 1.27722e12i | 0.674023i | ||||||||
\(536\) | −8.93979e11 | − | 3.37896e12i | −0.467827 | − | 1.76824i | ||||
\(537\) | − | 3.75852e12i | − | 1.95044i | ||||||
\(538\) | −1.52257e12 | + | 3.25621e12i | −0.783531 | + | 1.67569i | ||||
\(539\) | −1.94614e11 | − | 1.94614e11i | −0.0993173 | − | 0.0993173i | ||||
\(540\) | −1.23421e12 | − | 1.47717e12i | −0.624620 | − | 0.747579i | ||||
\(541\) | −1.17059e12 | + | 1.17059e12i | −0.587510 | + | 0.587510i | −0.936956 | − | 0.349446i | \(-0.886370\pi\) |
0.349446 | + | 0.936956i | \(0.386370\pi\) | |||||||
\(542\) | 2.30840e12 | − | 8.37441e11i | 1.14898 | − | 0.416828i | ||||
\(543\) | −2.59242e12 | −1.27970 | ||||||||
\(544\) | 4.51468e11 | + | 2.64152e12i | 0.221020 | + | 1.29318i | ||||
\(545\) | −2.34580e12 | −1.13895 | ||||||||
\(546\) | −7.28586e12 | + | 2.64316e12i | −3.50844 | + | 1.27279i | ||||
\(547\) | 1.17226e12 | − | 1.17226e12i | 0.559862 | − | 0.559862i | −0.369406 | − | 0.929268i | \(-0.620439\pi\) |
0.929268 | + | 0.369406i | \(0.120439\pi\) | |||||||
\(548\) | 2.17569e12 | + | 2.60399e12i | 1.03059 | + | 1.23346i | ||||
\(549\) | 1.80794e12 | + | 1.80794e12i | 0.849393 | + | 0.849393i | ||||
\(550\) | −5.51262e9 | + | 1.17895e10i | −0.00256877 | + | 0.00549367i | ||||
\(551\) | − | 4.58760e11i | − | 0.212033i | ||||||
\(552\) | 2.33251e11 | − | 6.17117e10i | 0.106930 | − | 0.0282906i | ||||
\(553\) | − | 1.36003e12i | − | 0.618422i | ||||||
\(554\) | 3.50870e11 | + | 1.64063e11i | 0.158253 | + | 0.0739972i | ||||
\(555\) | 3.55508e12 | + | 3.55508e12i | 1.59049 | + | 1.59049i | ||||
\(556\) | 1.91638e12 | + | 1.71723e11i | 0.850445 | + | 0.0762064i | ||||
\(557\) | 2.96004e12 | − | 2.96004e12i | 1.30301 | − | 1.30301i | 0.376664 | − | 0.926350i | \(-0.377071\pi\) |
0.926350 | − | 0.376664i | \(-0.122929\pi\) | |||||||
\(558\) | −9.53629e11 | − | 2.62867e12i | −0.416414 | − | 1.14784i | ||||
\(559\) | 4.25101e12 | 1.84136 | ||||||||
\(560\) | 2.19992e12 | + | 3.17011e12i | 0.945282 | + | 1.36216i | ||||
\(561\) | 4.41657e11 | 0.188257 | ||||||||
\(562\) | −3.12021e11 | − | 8.60083e11i | −0.131938 | − | 0.363686i | ||||
\(563\) | −1.02234e12 | + | 1.02234e12i | −0.428851 | + | 0.428851i | −0.888237 | − | 0.459386i | \(-0.848069\pi\) |
0.459386 | + | 0.888237i | \(0.348069\pi\) | |||||||
\(564\) | −2.53630e11 | + | 2.83045e12i | −0.105547 | + | 1.17788i | ||||
\(565\) | 2.32118e12 | + | 2.32118e12i | 0.958278 | + | 0.958278i | ||||
\(566\) | −2.25989e12 | − | 1.05670e12i | −0.925579 | − | 0.432790i | ||||
\(567\) | − | 2.77241e11i | − | 0.112650i | ||||||
\(568\) | 1.65380e12 | + | 9.61787e11i | 0.666676 | + | 0.387714i | ||||
\(569\) | 2.08440e12i | 0.833636i | 0.908990 | + | 0.416818i | \(0.136855\pi\) | ||||
−0.908990 | + | 0.416818i | \(0.863145\pi\) | |||||||
\(570\) | 1.24855e12 | − | 2.67020e12i | 0.495416 | − | 1.05951i | ||||
\(571\) | 4.20030e11 | + | 4.20030e11i | 0.165355 | + | 0.165355i | 0.784934 | − | 0.619579i | \(-0.212697\pi\) |
−0.619579 | + | 0.784934i | \(0.712697\pi\) | |||||||
\(572\) | −2.53591e11 | + | 2.11881e11i | −0.0990493 | + | 0.0827579i | ||||
\(573\) | −5.71006e12 | + | 5.71006e12i | −2.21281 | + | 2.21281i | ||||
\(574\) | −1.41533e12 | + | 5.13455e11i | −0.544195 | + | 0.197423i | ||||
\(575\) | 1.22533e10 | 0.00467464 | ||||||||
\(576\) | −3.64212e12 | + | 2.07226e12i | −1.37865 | + | 0.784410i | ||||
\(577\) | −4.24991e12 | −1.59620 | −0.798102 | − | 0.602522i | \(-0.794162\pi\) | ||||
−0.798102 | + | 0.602522i | \(0.794162\pi\) | |||||||
\(578\) | 1.81912e12 | − | 6.59941e11i | 0.677932 | − | 0.245940i | ||||
\(579\) | −1.65104e12 | + | 1.65104e12i | −0.610528 | + | 0.610528i | ||||
\(580\) | −6.51164e11 | + | 5.44062e11i | −0.238926 | + | 0.199629i | ||||
\(581\) | 2.34410e12 | + | 2.34410e12i | 0.853461 | + | 0.853461i | ||||
\(582\) | 1.02624e12 | − | 2.19474e12i | 0.370761 | − | 0.792922i | ||||
\(583\) | − | 3.61163e10i | − | 0.0129477i | ||||||
\(584\) | −2.15269e12 | − | 1.25192e12i | −0.765814 | − | 0.445369i | ||||
\(585\) | − | 6.71666e12i | − | 2.37111i | ||||||
\(586\) | 2.39837e12 | + | 1.12145e12i | 0.840190 | + | 0.392863i | ||||
\(587\) | 2.34203e12 | + | 2.34203e12i | 0.814182 | + | 0.814182i | 0.985258 | − | 0.171076i | \(-0.0547244\pi\) |
−0.171076 | + | 0.985258i | \(0.554724\pi\) | |||||||
\(588\) | 6.54884e11 | − | 7.30835e12i | 0.225926 | − | 2.52128i | ||||
\(589\) | 1.11897e12 | − | 1.11897e12i | 0.383089 | − | 0.383089i | ||||
\(590\) | −7.67319e11 | − | 2.11511e12i | −0.260700 | − | 0.718618i | ||||
\(591\) | 3.90274e12 | 1.31591 | ||||||||
\(592\) | 3.32295e12 | − | 2.30599e12i | 1.11193 | − | 0.771631i | ||||
\(593\) | −2.48605e12 | −0.825589 | −0.412794 | − | 0.910824i | \(-0.635447\pi\) | ||||
−0.412794 | + | 0.910824i | \(0.635447\pi\) | |||||||
\(594\) | 8.70374e10 | + | 2.39918e11i | 0.0286858 | + | 0.0790721i | ||||
\(595\) | 4.70233e12 | − | 4.70233e12i | 1.53811 | − | 1.53811i | ||||
\(596\) | −1.54175e12 | − | 1.38152e11i | −0.500501 | − | 0.0448487i | ||||
\(597\) | 9.14930e10 | + | 9.14930e10i | 0.0294784 | + | 0.0294784i | ||||
\(598\) | 2.81838e11 | + | 1.31784e11i | 0.0901247 | + | 0.0421412i | ||||
\(599\) | − | 1.49272e12i | − | 0.473759i | −0.971539 | − | 0.236880i | \(-0.923875\pi\) | ||
0.971539 | − | 0.236880i | \(-0.0761247\pi\) | |||||||
\(600\) | −3.35434e11 | + | 8.87463e10i | −0.105664 | + | 0.0279556i | ||||
\(601\) | − | 1.93258e11i | − | 0.0604230i | −0.999544 | − | 0.0302115i | \(-0.990382\pi\) | ||
0.999544 | − | 0.0302115i | \(-0.00961809\pi\) | |||||||
\(602\) | −2.78766e12 | + | 5.96179e12i | −0.865079 | + | 1.85009i | ||||
\(603\) | −6.66038e12 | − | 6.66038e12i | −2.05150 | − | 2.05150i | ||||
\(604\) | −1.13881e12 | − | 1.36299e12i | −0.348164 | − | 0.416702i | ||||
\(605\) | −2.38886e12 | + | 2.38886e12i | −0.724923 | + | 0.724923i | ||||
\(606\) | 2.02058e12 | − | 7.33026e11i | 0.608624 | − | 0.220797i | ||||
\(607\) | −5.71603e12 | −1.70901 | −0.854507 | − | 0.519440i | \(-0.826140\pi\) | ||||
−0.854507 | + | 0.519440i | \(0.826140\pi\) | |||||||
\(608\) | −1.93535e12 | − | 1.37036e12i | −0.574372 | − | 0.406696i | ||||
\(609\) | 2.63867e12 | 0.777335 | ||||||||
\(610\) | 2.51586e12 | − | 9.12703e11i | 0.735702 | − | 0.266898i | ||||
\(611\) | −2.59119e12 | + | 2.59119e12i | −0.752166 | + | 0.752166i | ||||
\(612\) | 4.63044e12 | + | 5.54196e12i | 1.33426 | + | 1.59692i | ||||
\(613\) | −6.81524e11 | − | 6.81524e11i | −0.194944 | − | 0.194944i | 0.602885 | − | 0.797828i | \(-0.294018\pi\) |
−0.797828 | + | 0.602885i | \(0.794018\pi\) | |||||||
\(614\) | −1.46780e12 | + | 3.13909e12i | −0.416783 | + | 0.891347i | ||||
\(615\) | − | 2.12734e12i | − | 0.599652i | ||||||
\(616\) | −1.30854e11 | − | 4.94589e11i | −0.0366164 | − | 0.138399i | ||||
\(617\) | 3.96833e12i | 1.10236i | 0.834385 | + | 0.551182i | \(0.185823\pi\) | ||||
−0.834385 | + | 0.551182i | \(0.814177\pi\) | |||||||
\(618\) | 7.25471e12 | + | 3.39222e12i | 2.00065 | + | 0.935482i | ||||
\(619\) | −1.52073e12 | − | 1.52073e12i | −0.416337 | − | 0.416337i | 0.467602 | − | 0.883939i | \(-0.345118\pi\) |
−0.883939 | + | 0.467602i | \(0.845118\pi\) | |||||||
\(620\) | −2.91530e12 | − | 2.61233e11i | −0.792355 | − | 0.0710011i | ||||
\(621\) | 1.69909e11 | − | 1.69909e11i | 0.0458464 | − | 0.0458464i | ||||
\(622\) | −3.39390e11 | − | 9.35524e11i | −0.0909163 | − | 0.250610i | ||||
\(623\) | −6.67587e12 | −1.77546 | ||||||||
\(624\) | −8.66975e12 | − | 1.56633e12i | −2.28916 | − | 0.413573i | ||||
\(625\) | 4.05634e12 | 1.06335 | ||||||||
\(626\) | −1.19195e12 | − | 3.28561e12i | −0.310224 | − | 0.855128i | ||||
\(627\) | −2.76354e11 | + | 2.76354e11i | −0.0714106 | + | 0.0714106i | ||||
\(628\) | 2.03733e11 | − | 2.27361e12i | 0.0522688 | − | 0.583307i | ||||
\(629\) | −4.92904e12 | − | 4.92904e12i | −1.25555 | − | 1.25555i | ||||
\(630\) | 9.41971e12 | + | 4.40454e12i | 2.38235 | + | 1.11396i | ||||
\(631\) | − | 3.36982e12i | − | 0.846202i | −0.906082 | − | 0.423101i | \(-0.860941\pi\) | ||
0.906082 | − | 0.423101i | \(-0.139059\pi\) | |||||||
\(632\) | 7.77203e11 | − | 1.33640e12i | 0.193779 | − | 0.333204i | ||||
\(633\) | 6.95631e12i | 1.72212i | ||||||||
\(634\) | −1.72750e12 | + | 3.69449e12i | −0.424635 | + | 0.908139i | ||||
\(635\) | −1.51425e12 | − | 1.51425e12i | −0.369586 | − | 0.369586i | ||||
\(636\) | 7.38903e11 | − | 6.17371e11i | 0.179073 | − | 0.149620i | ||||
\(637\) | 6.69055e12 | − | 6.69055e12i | 1.61003 | − | 1.61003i | ||||
\(638\) | 1.05761e11 | − | 3.83678e10i | 0.0252715 | − | 0.00916799i | ||||
\(639\) | 5.15566e12 | 1.22329 | ||||||||
\(640\) | 3.50118e11 | + | 4.37220e12i | 0.0824907 | + | 1.03013i | ||||
\(641\) | 6.19785e12 | 1.45004 | 0.725020 | − | 0.688728i | \(-0.241831\pi\) | ||||
0.725020 | + | 0.688728i | \(0.241831\pi\) | |||||||
\(642\) | 4.24409e12 | − | 1.53967e12i | 0.986000 | − | 0.357701i | ||||
\(643\) | 1.97672e12 | − | 1.97672e12i | 0.456033 | − | 0.456033i | −0.441318 | − | 0.897351i | \(-0.645489\pi\) |
0.897351 | + | 0.441318i | \(0.145489\pi\) | |||||||
\(644\) | −3.69638e11 | + | 3.08841e11i | −0.0846818 | + | 0.0707536i | ||||
\(645\) | −6.57552e12 | − | 6.57552e12i | −1.49593 | − | 1.49593i | ||||
\(646\) | −1.73109e12 | + | 3.70217e12i | −0.391087 | + | 0.836393i | ||||
\(647\) | − | 5.01715e12i | − | 1.12561i | −0.826590 | − | 0.562804i | \(-0.809722\pi\) | ||
0.826590 | − | 0.562804i | \(-0.190278\pi\) | |||||||
\(648\) | 1.58432e11 | − | 2.72424e11i | 0.0352984 | − | 0.0606958i | ||||
\(649\) | 2.98319e11i | 0.0660054i | ||||||||
\(650\) | −4.05305e11 | − | 1.89516e11i | −0.0890577 | − | 0.0416423i | ||||
\(651\) | 6.43603e12 | + | 6.43603e12i | 1.40444 | + | 1.40444i | ||||
\(652\) | −3.93095e11 | + | 4.38685e12i | −0.0851891 | + | 0.950689i | ||||
\(653\) | −5.22500e12 | + | 5.22500e12i | −1.12454 | + | 1.12454i | −0.133495 | + | 0.991049i | \(0.542620\pi\) |
−0.991049 | + | 0.133495i | \(0.957380\pi\) | |||||||
\(654\) | 2.82782e12 | + | 7.79487e12i | 0.604439 | + | 1.66613i | ||||
\(655\) | −2.34716e12 | −0.498260 | ||||||||
\(656\) | −1.68416e12 | − | 3.04271e11i | −0.355073 | − | 0.0641495i | ||||
\(657\) | −6.71093e12 | −1.40520 | ||||||||
\(658\) | −1.93478e12 | − | 5.33319e12i | −0.402359 | − | 1.10910i | ||||
\(659\) | 4.77568e12 | − | 4.77568e12i | 0.986396 | − | 0.986396i | −0.0135127 | − | 0.999909i | \(-0.504301\pi\) |
0.999909 | + | 0.0135127i | \(0.00430137\pi\) | |||||||
\(660\) | 7.19997e11 | + | 6.45172e10i | 0.147701 | + | 0.0132351i | ||||
\(661\) | 4.56864e12 | + | 4.56864e12i | 0.930852 | + | 0.930852i | 0.997759 | − | 0.0669070i | \(-0.0213131\pi\) |
−0.0669070 | + | 0.997759i | \(0.521313\pi\) | |||||||
\(662\) | −2.62854e12 | − | 1.22907e12i | −0.531929 | − | 0.248724i | ||||
\(663\) | 1.51835e13i | 3.05184i | ||||||||
\(664\) | 9.63820e11 | + | 3.64294e12i | 0.192415 | + | 0.727270i | ||||
\(665\) | 5.88470e12i | 1.16688i | ||||||||
\(666\) | 4.61690e12 | − | 9.87387e12i | 0.909320 | − | 1.94470i | ||||
\(667\) | −7.48994e10 | − | 7.48994e10i | −0.0146525 | − | 0.0146525i | ||||
\(668\) | 2.04310e12 | + | 2.44529e12i | 0.397004 | + | 0.475156i | ||||
\(669\) | −4.72353e12 | + | 4.72353e12i | −0.911694 | + | 0.911694i | ||||
\(670\) | −9.26831e12 | + | 3.36236e12i | −1.77690 | + | 0.644625i | ||||
\(671\) | −3.54841e11 | −0.0675745 | ||||||||
\(672\) | 7.88199e12 | − | 1.11317e13i | 1.49099 | − | 2.10571i | ||||
\(673\) | −2.44846e12 | −0.460071 | −0.230036 | − | 0.973182i | \(-0.573884\pi\) | ||||
−0.230036 | + | 0.973182i | \(0.573884\pi\) | |||||||
\(674\) | −6.82453e12 | + | 2.47580e12i | −1.27381 | + | 0.462112i | ||||
\(675\) | −2.44343e11 | + | 2.44343e11i | −0.0453037 | + | 0.0453037i | ||||
\(676\) | −3.80289e12 | − | 4.55151e12i | −0.700412 | − | 0.838292i | ||||
\(677\) | 2.22018e12 | + | 2.22018e12i | 0.406199 | + | 0.406199i | 0.880411 | − | 0.474212i | \(-0.157267\pi\) |
−0.474212 | + | 0.880411i | \(0.657267\pi\) | |||||||
\(678\) | 4.91492e12 | − | 1.05112e13i | 0.893271 | − | 1.91038i | ||||
\(679\) | 4.83687e12i | 0.873273i | ||||||||
\(680\) | 7.30783e12 | − | 1.93345e12i | 1.31068 | − | 0.346770i | ||||
\(681\) | − | 3.88860e11i | − | 0.0692838i | ||||||
\(682\) | 3.51546e11 | + | 1.64379e11i | 0.0622232 | + | 0.0290948i | ||||
\(683\) | −6.06265e11 | − | 6.06265e11i | −0.106603 | − | 0.106603i | 0.651793 | − | 0.758397i | \(-0.274017\pi\) |
−0.758397 | + | 0.651793i | \(0.774017\pi\) | |||||||
\(684\) | −6.36509e12 | − | 5.70361e11i | −1.11187 | − | 0.0996317i | ||||
\(685\) | 6.76830e12 | − | 6.76830e12i | 1.17455 | − | 1.17455i | ||||
\(686\) | 1.82197e12 | + | 5.02225e12i | 0.314111 | + | 0.865845i | ||||
\(687\) | 1.21420e13 | 2.07963 | ||||||||
\(688\) | −6.14616e12 | + | 4.26518e12i | −1.04582 | + | 0.725754i | ||||
\(689\) | 1.24162e12 | 0.209896 | ||||||||
\(690\) | −2.32105e11 | − | 6.39795e11i | −0.0389819 | − | 0.107453i | ||||
\(691\) | −4.99607e11 | + | 4.99607e11i | −0.0833638 | + | 0.0833638i | −0.747559 | − | 0.664195i | \(-0.768774\pi\) |
0.664195 | + | 0.747559i | \(0.268774\pi\) | |||||||
\(692\) | −8.94685e10 | + | 9.98448e11i | −0.0148318 | + | 0.165519i | ||||
\(693\) | −9.74900e11 | − | 9.74900e11i | −0.160569 | − | 0.160569i | ||||
\(694\) | −8.82895e12 | − | 4.12831e12i | −1.44475 | − | 0.675546i | ||||
\(695\) | − | 5.42741e12i | − | 0.882391i | ||||||
\(696\) | 2.59284e12 | + | 1.50790e12i | 0.418826 | + | 0.243574i | ||||
\(697\) | 2.94951e12i | 0.473372i | ||||||||
\(698\) | 2.13163e12 | − | 4.55879e12i | 0.339910 | − | 0.726942i | ||||
\(699\) | −1.18204e13 | − | 1.18204e13i | −1.87278 | − | 1.87278i | ||||
\(700\) | 5.31569e11 | − | 4.44138e11i | 0.0836793 | − | 0.0699160i | ||||
\(701\) | 1.99288e12 | − | 1.99288e12i | 0.311710 | − | 0.311710i | −0.533862 | − | 0.845572i | \(-0.679260\pi\) |
0.845572 | + | 0.533862i | \(0.179260\pi\) | |||||||
\(702\) | −8.24802e12 | + | 2.99222e12i | −1.28184 | + | 0.465025i | ||||
\(703\) | 6.16842e12 | 0.952522 | ||||||||
\(704\) | 1.54057e11 | − | 5.60776e11i | 0.0236376 | − | 0.0860423i | ||||
\(705\) | 8.01616e12 | 1.22212 | ||||||||
\(706\) | 7.50338e12 | − | 2.72208e12i | 1.13667 | − | 0.412363i | ||||
\(707\) | −3.03425e12 | + | 3.03425e12i | −0.456735 | + | 0.456735i | ||||
\(708\) | −6.10331e12 | + | 5.09946e12i | −0.912884 | + | 0.762736i | ||||
\(709\) | 2.21267e12 | + | 2.21267e12i | 0.328859 | + | 0.328859i | 0.852152 | − | 0.523294i | \(-0.175297\pi\) |
−0.523294 | + | 0.852152i | \(0.675297\pi\) | |||||||
\(710\) | 2.28584e12 | − | 4.88857e12i | 0.337584 | − | 0.721970i | ||||
\(711\) | − | 4.16619e12i | − | 0.611401i | ||||||
\(712\) | −6.55990e12 | − | 3.81500e12i | −0.956615 | − | 0.556332i | ||||
\(713\) | − | 3.65377e11i | − | 0.0529466i | ||||||
\(714\) | −2.12940e13 | − | 9.95681e12i | −3.06630 | − | 1.43377i | ||||
\(715\) | 6.59134e11 | + | 6.59134e11i | 0.0943184 | + | 0.0943184i | ||||
\(716\) | −7.61237e11 | + | 8.49522e12i | −0.108246 | + | 1.20800i | ||||
\(717\) | 2.22765e12 | − | 2.22765e12i | 0.314783 | − | 0.314783i | ||||
\(718\) | 2.06400e12 | + | 5.68940e12i | 0.289834 | + | 0.798926i | ||||
\(719\) | 1.19348e13 | 1.66546 | 0.832732 | − | 0.553676i | \(-0.186775\pi\) | ||||
0.832732 | + | 0.553676i | \(0.186775\pi\) | |||||||
\(720\) | 6.73905e12 | + | 9.71102e12i | 0.934550 | + | 1.34669i | ||||
\(721\) | −1.59882e13 | −2.20339 | ||||||||
\(722\) | 1.25673e12 | + | 3.46416e12i | 0.172117 | + | 0.474439i | ||||
\(723\) | −1.29638e13 | + | 1.29638e13i | −1.76445 | + | 1.76445i | ||||
\(724\) | 5.85955e12 | + | 5.25060e11i | 0.792575 | + | 0.0710208i | ||||
\(725\) | 1.07711e11 | + | 1.07711e11i | 0.0144791 | + | 0.0144791i | ||||
\(726\) | 1.08177e13 | + | 5.05823e12i | 1.44517 | + | 0.675746i | ||||
\(727\) | − | 4.42788e12i | − | 0.587883i | −0.955823 | − | 0.293942i | \(-0.905033\pi\) | ||
0.955823 | − | 0.293942i | \(-0.0949672\pi\) | |||||||
\(728\) | 1.70033e13 | − | 4.49858e12i | 2.24358 | − | 0.593587i | ||||
\(729\) | − | 1.24094e13i | − | 1.62734i | ||||||
\(730\) | −2.97539e12 | + | 6.36327e12i | −0.387785 | + | 0.829330i | ||||
\(731\) | 9.11680e12 | + | 9.11680e12i | 1.18090 | + | 1.18090i | ||||
\(732\) | −6.06565e12 | − | 7.25971e12i | −0.780868 | − | 0.934586i | ||||
\(733\) | 7.13591e12 | − | 7.13591e12i | 0.913023 | − | 0.913023i | −0.0834863 | − | 0.996509i | \(-0.526605\pi\) |
0.996509 | + | 0.0834863i | \(0.0266055\pi\) | |||||||
\(734\) | 3.65483e12 | − | 1.32590e12i | 0.464767 | − | 0.168608i | ||||
\(735\) | −2.06980e13 | −2.61599 | ||||||||
\(736\) | −5.39707e11 | + | 9.22425e10i | −0.0677966 | + | 0.0115873i | ||||
\(737\) | 1.30722e12 | 0.163209 | ||||||||
\(738\) | −4.33560e12 | + | 1.57287e12i | −0.538017 | + | 0.195182i | ||||
\(739\) | −7.85837e12 | + | 7.85837e12i | −0.969243 | + | 0.969243i | −0.999541 | − | 0.0302981i | \(-0.990354\pi\) |
0.0302981 | + | 0.999541i | \(0.490354\pi\) | |||||||
\(740\) | −7.31538e12 | − | 8.75545e12i | −0.896797 | − | 1.07334i | ||||
\(741\) | −9.50066e12 | − | 9.50066e12i | −1.15764 | − | 1.15764i | ||||
\(742\) | −8.14212e11 | + | 1.74130e12i | −0.0986098 | + | 0.210890i | ||||
\(743\) | 3.33667e12i | 0.401665i | 0.979626 | + | 0.200832i | \(0.0643646\pi\) | ||||
−0.979626 | + | 0.200832i | \(0.935635\pi\) | |||||||
\(744\) | 2.64629e12 | + | 1.00022e13i | 0.316635 | + | 1.19678i | ||||
\(745\) | 4.36640e12i | 0.519302i | ||||||||
\(746\) | 2.58382e12 | + | 1.20816e12i | 0.305448 | + | 0.142824i | ||||
\(747\) | 7.18071e12 | + | 7.18071e12i | 0.843771 | + | 0.843771i | ||||
\(748\) | −9.98259e11 | − | 8.94517e10i | −0.116597 | − | 0.0104480i | ||||
\(749\) | −6.37325e12 | + | 6.37325e12i | −0.739933 | + | 0.739933i | ||||
\(750\) | −4.57732e12 | − | 1.26173e13i | −0.528245 | − | 1.45610i | ||||
\(751\) | 1.62411e13 | 1.86310 | 0.931549 | − | 0.363617i | \(-0.118458\pi\) | ||||
0.931549 | + | 0.363617i | \(0.118458\pi\) | |||||||
\(752\) | 1.14654e12 | − | 6.34619e12i | 0.130740 | − | 0.723657i | ||||
\(753\) | 1.92107e13 | 2.17754 | ||||||||
\(754\) | 1.31903e12 | + | 3.63589e12i | 0.148622 | + | 0.409675i | ||||
\(755\) | −3.54268e12 | + | 3.54268e12i | −0.396799 | + | 0.396799i | ||||
\(756\) | 1.21235e12 | − | 1.35295e13i | 0.134983 | − | 1.50638i | ||||
\(757\) | −6.43793e11 | − | 6.43793e11i | −0.0712549 | − | 0.0712549i | 0.670581 | − | 0.741836i | \(-0.266045\pi\) |
−0.741836 | + | 0.670581i | \(0.766045\pi\) | |||||||
\(758\) | 4.19391e9 | + | 1.96102e9i | 0.000461432 | + | 0.000215760i | ||||
\(759\) | 9.02379e10i | 0.00986963i | ||||||||
\(760\) | −3.36287e12 | + | 5.78247e12i | −0.365636 | + | 0.628712i | ||||
\(761\) | − | 1.44391e13i | − | 1.56066i | −0.625366 | − | 0.780332i | \(-0.715050\pi\) | ||
0.625366 | − | 0.780332i | \(-0.284950\pi\) | |||||||
\(762\) | −3.20630e12 | + | 6.85711e12i | −0.344514 | + | 0.736790i | ||||
\(763\) | −1.17054e13 | − | 1.17054e13i | −1.25033 | − | 1.25033i | ||||
\(764\) | 1.40627e13 | − | 1.17497e13i | 1.49331 | − | 1.24769i | ||||
\(765\) | 1.44047e13 | − | 1.44047e13i | 1.52064 | − | 1.52064i | ||||
\(766\) | 6.40233e12 | − | 2.32264e12i | 0.671906 | − | 0.243754i | ||||
\(767\) | −1.02558e13 | −1.07001 | ||||||||
\(768\) | 1.41064e13 | − | 6.43403e12i | 1.46315 | − | 0.667357i | ||||
\(769\) | −1.54602e12 | −0.159422 | −0.0797109 | − | 0.996818i | \(-0.525400\pi\) | ||||
−0.0797109 | + | 0.996818i | \(0.525400\pi\) | |||||||
\(770\) | −1.35663e12 | + | 4.92159e11i | −0.139076 | + | 0.0504542i | ||||
\(771\) | −5.92379e12 | + | 5.92379e12i | −0.603747 | + | 0.603747i | ||||
\(772\) | 4.06619e12 | − | 3.39739e12i | 0.412012 | − | 0.344245i | ||||
\(773\) | −5.71417e12 | − | 5.71417e12i | −0.575632 | − | 0.575632i | 0.358064 | − | 0.933697i | \(-0.383437\pi\) |
−0.933697 | + | 0.358064i | \(0.883437\pi\) | |||||||
\(774\) | −8.53947e12 | + | 1.82628e13i | −0.855257 | + | 1.82908i | ||||
\(775\) | 5.25441e11i | 0.0523198i | ||||||||
\(776\) | −2.76408e12 | + | 4.75284e12i | −0.273635 | + | 0.470517i | ||||
\(777\) | 3.54792e13i | 3.49204i | ||||||||
\(778\) | 1.65443e12 | + | 7.73592e11i | 0.161898 | + | 0.0757014i | ||||
\(779\) | −1.84558e12 | − | 1.84558e12i | −0.179561 | − | 0.179561i | ||||
\(780\) | −2.21801e12 | + | 2.47524e13i | −0.214554 | + | 2.39438i | ||||
\(781\) | −5.05946e11 | + | 5.05946e11i | −0.0486603 | + | 0.0486603i | ||||
\(782\) | 3.21808e11 | + | 8.87061e11i | 0.0307728 | + | 0.0848248i | ||||
\(783\) | 2.98714e12 | 0.284006 | ||||||||
\(784\) | −2.96041e12 | + | 1.63861e13i | −0.279853 | + | 1.54901i | ||||
\(785\) | −6.43911e12 | −0.605219 | ||||||||
\(786\) | 2.82946e12 | + | 7.79938e12i | 0.264425 | + | 0.728885i | ||||
\(787\) | 1.02328e13 | − | 1.02328e13i | 0.950843 | − | 0.950843i | −0.0480042 | − | 0.998847i | \(-0.515286\pi\) |
0.998847 | + | 0.0480042i | \(0.0152861\pi\) | |||||||
\(788\) | −8.82121e12 | − | 7.90448e11i | −0.815005 | − | 0.0730307i | ||||
\(789\) | 1.39015e13 | + | 1.39015e13i | 1.27707 | + | 1.27707i | ||||
\(790\) | −3.95036e12 | − | 1.84714e12i | −0.360840 | − | 0.168725i | ||||
\(791\) | 2.31651e13i | 2.10397i | ||||||||
\(792\) | −4.00848e11 | − | 1.51508e12i | −0.0362006 | − | 0.136827i | ||||
\(793\) | − | 1.21989e13i | − | 1.09545i | ||||||
\(794\) | 5.21372e12 | − | 1.11502e13i | 0.465538 | − | 0.995616i | ||||
\(795\) | −1.92056e12 | − | 1.92056e12i | −0.170520 | − | 0.170520i | ||||
\(796\) | −1.88267e11 | − | 2.25329e11i | −0.0166213 | − | 0.0198933i | ||||
\(797\) | −1.99581e12 | + | 1.99581e12i | −0.175209 | + | 0.175209i | −0.789264 | − | 0.614054i | \(-0.789538\pi\) |
0.614054 | + | 0.789264i | \(0.289538\pi\) | |||||||
\(798\) | 1.95543e13 | − | 7.09391e12i | 1.70698 | − | 0.619259i | ||||
\(799\) | −1.11142e13 | −0.964758 | ||||||||
\(800\) | 7.76141e11 | − | 1.32652e11i | 0.0669940 | − | 0.0114501i | ||||
\(801\) | −2.04503e13 | −1.75531 | ||||||||
\(802\) | 1.62331e13 | − | 5.88905e12i | 1.38553 | − | 0.502644i | ||||
\(803\) | 6.58571e11 | − | 6.58571e11i | 0.0558963 | − | 0.0558963i | ||||
\(804\) | 2.23456e13 | + | 2.67445e13i | 1.88599 | + | 2.25726i | ||||
\(805\) | 9.60764e11 | + | 9.60764e11i | 0.0806372 | + | 0.0806372i | ||||
\(806\) | −5.65110e12 | + | 1.20856e13i | −0.471656 | + | 1.00870i | ||||
\(807\) | − | 3.58419e13i | − | 2.97481i | ||||||
\(808\) | −4.71550e12 | + | 1.24759e12i | −0.389203 | + | 0.102972i | ||||
\(809\) | − | 2.00302e13i | − | 1.64405i | −0.569449 | − | 0.822027i | \(-0.692843\pi\) | ||
0.569449 | − | 0.822027i | \(-0.307157\pi\) | |||||||
\(810\) | −8.05277e11 | − | 3.76538e11i | −0.0657298 | − | 0.0307345i | ||||
\(811\) | −7.04572e12 | − | 7.04572e12i | −0.571915 | − | 0.571915i | 0.360748 | − | 0.932663i | \(-0.382521\pi\) |
−0.932663 | + | 0.360748i | \(0.882521\pi\) | |||||||
\(812\) | −5.96409e12 | − | 5.34428e11i | −0.481440 | − | 0.0431407i | ||||
\(813\) | −1.73135e13 | + | 1.73135e13i | −1.38988 | + | 1.38988i | ||||
\(814\) | 5.15888e11 | + | 1.42204e12i | 0.0411856 | + | 0.113528i | ||||
\(815\) | 1.24240e13 | 0.986402 | ||||||||
\(816\) | −1.52341e13 | − | 2.19525e13i | −1.20285 | − | 1.73332i | ||||
\(817\) | −1.14092e13 | −0.895890 | ||||||||
\(818\) | −2.96234e12 | − | 8.16567e12i | −0.231337 | − | 0.637679i | ||||
\(819\) | 3.35156e13 | − | 3.35156e13i | 2.60297 | − | 2.60297i | ||||
\(820\) | −4.30865e11 | + | 4.80835e12i | −0.0332797 | + | 0.371393i | ||||
\(821\) | −1.64243e13 | − | 1.64243e13i | −1.26166 | − | 1.26166i | −0.950287 | − | 0.311377i | \(-0.899210\pi\) |
−0.311377 | − | 0.950287i | \(-0.600790\pi\) | |||||||
\(822\) | −3.06495e13 | − | 1.43313e13i | −2.34153 | − | 1.09487i | ||||
\(823\) | 1.81082e13i | 1.37586i | 0.725775 | + | 0.687932i | \(0.241481\pi\) | ||||
−0.725775 | + | 0.687932i | \(0.758519\pi\) | |||||||
\(824\) | −1.57105e13 | − | 9.13663e12i | −1.18718 | − | 0.690421i | ||||
\(825\) | − | 1.29769e11i | − | 0.00975279i | ||||||
\(826\) | 6.72536e12 | − | 1.43831e13i | 0.502696 | − | 1.07508i | ||||
\(827\) | 1.34504e13 | + | 1.34504e13i | 0.999908 | + | 0.999908i | 1.00000 | 9.20562e-5i | \(-2.93024e-5\pi\) | |
−9.20562e−5 | 1.00000i | \(0.500029\pi\) | ||||||||
\(828\) | −1.13232e12 | + | 9.46076e11i | −0.0837203 | + | 0.0699503i | ||||
\(829\) | −1.19280e13 | + | 1.19280e13i | −0.877145 | + | 0.877145i | −0.993238 | − | 0.116094i | \(-0.962963\pi\) |
0.116094 | + | 0.993238i | \(0.462963\pi\) | |||||||
\(830\) | 9.99238e12 | − | 3.62504e12i | 0.730832 | − | 0.265131i | ||||
\(831\) | −3.86210e12 | −0.280943 | ||||||||
\(832\) | 1.92786e13 | + | 5.29625e12i | 1.39483 | + | 0.383190i | ||||
\(833\) | 2.86974e13 | 2.06509 | ||||||||
\(834\) | −1.80348e13 | + | 6.54266e12i | −1.29081 | + | 0.468282i | ||||
\(835\) | 6.35580e12 | − | 6.35580e12i | 0.452461 | − | 0.452461i | ||||
\(836\) | 6.80605e11 | − | 5.68661e11i | 0.0481911 | − | 0.0402648i | ||||
\(837\) | 7.28597e12 | + | 7.28597e12i | 0.513125 | + | 0.513125i | ||||
\(838\) | −9.96980e11 | + | 2.13218e12i | −0.0698375 | + | 0.149357i | ||||
\(839\) | − | 2.38569e13i | − | 1.66221i | −0.556119 | − | 0.831103i | \(-0.687710\pi\) | ||
0.556119 | − | 0.831103i | \(-0.312290\pi\) | |||||||
\(840\) | −3.32593e13 | − | 1.93424e13i | −2.30492 | − | 1.34046i | ||||
\(841\) | 1.31904e13i | 0.909232i | ||||||||
\(842\) | 1.81102e13 | + | 8.46811e12i | 1.24170 | + | 0.580606i | ||||
\(843\) | 6.45080e12 | + | 6.45080e12i | 0.439936 | + | 0.439936i | ||||
\(844\) | 1.40891e12 | − | 1.57231e13i | 0.0955744 | − | 1.06659i | ||||
\(845\) | −1.18303e13 | + | 1.18303e13i | −0.798253 | + | 0.798253i | ||||
\(846\) | −5.92682e12 | − | 1.63372e13i | −0.397791 | − | 1.09651i | ||||
\(847\) | −2.38405e13 | −1.59162 | ||||||||
\(848\) | −1.79515e12 | + | 1.24576e12i | −0.119212 | + | 0.0827283i | ||||
\(849\) | 2.48751e13 | 1.64316 | ||||||||
\(850\) | −4.62785e11 | − | 1.27566e12i | −0.0304085 | − | 0.0838206i | ||||
\(851\) | 1.00709e12 | − | 1.00709e12i | 0.0658239 | − | 0.0658239i | ||||
\(852\) | −1.89998e13 | − | 1.70253e12i | −1.23529 | − | 0.110692i | ||||
\(853\) | 1.46823e13 | + | 1.46823e13i | 0.949563 | + | 0.949563i | 0.998788 | − | 0.0492247i | \(-0.0156750\pi\) |
−0.0492247 | + | 0.998788i | \(0.515675\pi\) | |||||||
\(854\) | 1.71083e13 | + | 7.99962e12i | 1.10064 | + | 0.514646i | ||||
\(855\) | 1.80266e13i | 1.15363i | ||||||||
\(856\) | −9.90459e12 | + | 2.62048e12i | −0.630528 | + | 0.166820i | ||||
\(857\) | 8.52813e12i | 0.540057i | 0.962852 | + | 0.270029i | \(0.0870332\pi\) | ||||
−0.962852 | + | 0.270029i | \(0.912967\pi\) | |||||||
\(858\) | 1.39566e12 | − | 2.98481e12i | 0.0879201 | − | 0.188029i | ||||
\(859\) | −5.05344e12 | − | 5.05344e12i | −0.316678 | − | 0.316678i | 0.530812 | − | 0.847490i | \(-0.321887\pi\) |
−0.847490 | + | 0.530812i | \(0.821887\pi\) | |||||||
\(860\) | 1.35306e13 | + | 1.61942e13i | 0.843478 | + | 1.00952i | ||||
\(861\) | 1.06153e13 | − | 1.06153e13i | 0.658290 | − | 0.658290i | ||||
\(862\) | −3.69658e12 | + | 1.34105e12i | −0.228043 | + | 0.0827296i | ||||
\(863\) | −2.15911e12 | −0.132503 | −0.0662515 | − | 0.997803i | \(-0.521104\pi\) | ||||
−0.0662515 | + | 0.997803i | \(0.521104\pi\) | |||||||
\(864\) | 8.92288e12 | − | 1.26017e13i | 0.544745 | − | 0.769338i | ||||
\(865\) | 2.82771e12 | 0.171737 | ||||||||
\(866\) | −1.75075e13 | + | 6.35136e12i | −1.05777 | + | 0.383739i | ||||
\(867\) | −1.36438e13 | + | 1.36438e13i | −0.820066 | + | 0.820066i | ||||
\(868\) | −1.32436e13 | − | 1.58506e13i | −0.791893 | − | 0.947781i | ||||
\(869\) | 4.08846e11 | + | 4.08846e11i | 0.0243204 | + | 0.0243204i | ||||
\(870\) | 3.58375e12 | − | 7.66433e12i | 0.212081 | − | 0.453563i | ||||
\(871\) | 4.49403e13i | 2.64579i | ||||||||
\(872\) | −4.81287e12 | − | 1.81912e13i | −0.281890 | − | 1.06546i | ||||
\(873\) | 1.48168e13i | 0.863358i | ||||||||
\(874\) | −7.56416e11 | − | 3.53691e11i | −0.0438489 | − | 0.0205032i | ||||
\(875\) | 1.89471e13 | + | 1.89471e13i | 1.09272 | + | 1.09272i | ||||
\(876\) | 2.47313e13 | + | 2.21612e12i | 1.41899 | + | 0.127152i | ||||
\(877\) | 5.55102e12 | − | 5.55102e12i | 0.316865 | − | 0.316865i | −0.530697 | − | 0.847562i | \(-0.678070\pi\) |
0.847562 | + | 0.530697i | \(0.178070\pi\) | |||||||
\(878\) | 6.87941e12 | + | 1.89630e13i | 0.390684 | + | 1.07692i | ||||
\(879\) | −2.63994e13 | −1.49157 | ||||||||
\(880\) | −1.61431e12 | − | 2.91651e11i | −0.0907435 | − | 0.0163943i | ||||
\(881\) | −2.72105e13 | −1.52175 | −0.760877 | − | 0.648896i | \(-0.775231\pi\) | ||||
−0.760877 | + | 0.648896i | \(0.775231\pi\) | |||||||
\(882\) | 1.53033e13 | + | 4.21834e13i | 0.851483 | + | 2.34711i | ||||
\(883\) | 1.90339e13 | − | 1.90339e13i | 1.05367 | − | 1.05367i | 0.0551937 | − | 0.998476i | \(-0.482422\pi\) |
0.998476 | − | 0.0551937i | \(-0.0175776\pi\) | |||||||
\(884\) | 3.07522e12 | − | 3.43187e13i | 0.169372 | − | 1.89015i | ||||
\(885\) | 1.58637e13 | + | 1.58637e13i | 0.869282 | + | 0.869282i | ||||
\(886\) | 1.31481e13 | + | 6.14791e12i | 0.716824 | + | 0.335178i | ||||
\(887\) | − | 2.54203e13i | − | 1.37887i | −0.724345 | − | 0.689437i | \(-0.757858\pi\) | ||
0.724345 | − | 0.689437i | \(-0.242142\pi\) | |||||||
\(888\) | −2.02750e13 | + | 3.48629e13i | −1.09421 | + | 1.88150i | ||||
\(889\) | − | 1.51120e13i | − | 0.811453i | ||||||
\(890\) | −9.06692e12 | + | 1.93908e13i | −0.484401 | + | 1.03596i | ||||
\(891\) | 8.33427e10 | + | 8.33427e10i | 0.00443015 | + | 0.00443015i | ||||
\(892\) | 1.16331e13 | − | 9.71972e12i | 0.615253 | − | 0.514058i | ||||
\(893\) | 6.95441e12 | − | 6.95441e12i | 0.365956 | − | 0.365956i | ||||
\(894\) | 1.45091e13 | − | 5.26362e12i | 0.759666 | − | 0.275592i | ||||
\(895\) | 2.40594e13 | 1.25338 | ||||||||
\(896\) | −2.00699e13 | + | 2.35640e13i | −1.04030 | + | 1.22142i | ||||
\(897\) | −3.10225e12 | −0.159997 | ||||||||
\(898\) | 1.00159e13 | − | 3.63358e12i | 0.513982 | − | 0.186462i | ||||
\(899\) | 3.21180e12 | − | 3.21180e12i | 0.163995 | − | 0.163995i | ||||
\(900\) | 1.62836e12 | − | 1.36053e12i | 0.0827292 | − | 0.0691222i | ||||
\(901\) | 2.66281e12 | + | 2.66281e12i | 0.134610 | + | 0.134610i | ||||
\(902\) | 2.71118e11 | − | 5.79823e11i | 0.0136373 | − | 0.0291653i | ||||
\(903\) | − | 6.56227e13i | − | 3.28442i | ||||||
\(904\) | −1.32379e13 | + | 2.27626e13i | −0.659267 | + | 1.13361i | ||||
\(905\) | − | 1.65949e13i | − | 0.822348i | ||||||
\(906\) | 1.60426e13 | + | 7.50134e12i | 0.791040 | + | 0.369881i | ||||
\(907\) | −4.03506e12 | − | 4.03506e12i | −0.197978 | − | 0.197978i | 0.601154 | − | 0.799133i | \(-0.294708\pi\) |
−0.799133 | + | 0.601154i | \(0.794708\pi\) | |||||||
\(908\) | −7.87584e10 | + | 8.78925e11i | −0.00384513 | + | 0.0429107i | ||||
\(909\) | −9.29486e12 | + | 9.29486e12i | −0.451550 | + | 0.451550i | ||||
\(910\) | −1.69197e13 | − | 4.66390e13i | −0.817912 | − | 2.25457i | ||||
\(911\) | 2.06981e13 | 0.995631 | 0.497815 | − | 0.867283i | \(-0.334136\pi\) | ||||
0.497815 | + | 0.867283i | \(0.334136\pi\) | |||||||
\(912\) | 2.32685e13 | + | 4.20382e12i | 1.11376 | + | 0.201218i | ||||
\(913\) | −1.40935e12 | −0.0671273 | ||||||||
\(914\) | 6.43171e12 | + | 1.77290e13i | 0.304838 | + | 0.840282i | ||||
\(915\) | −1.88694e13 | + | 1.88694e13i | −0.889947 | + | 0.889947i | ||||
\(916\) | −2.74441e13 | − | 2.45921e12i | −1.28801 | − | 0.115416i | ||||
\(917\) | −1.17121e13 | − | 1.17121e13i | −0.546983 | − | 0.546983i | ||||
\(918\) | −2.41060e13 | − | 1.12717e13i | −1.12030 | − | 0.523838i | ||||
\(919\) | 3.44417e13i | 1.59281i | 0.604762 | + | 0.796406i | \(0.293268\pi\) | ||||
−0.604762 | + | 0.796406i | \(0.706732\pi\) | |||||||
\(920\) | 3.95035e11 | + | 1.49311e12i | 0.0181799 | + | 0.0687143i | ||||
\(921\) | − | 3.45527e13i | − | 1.58239i | ||||||
\(922\) | −4.24224e11 | + | 9.07260e11i | −0.0193333 | + | 0.0413469i | ||||
\(923\) | −1.73937e13 | − | 1.73937e13i | −0.788831 | − | 0.788831i | ||||
\(924\) | 3.27080e12 | + | 3.91467e12i | 0.147615 | + | 0.176673i | ||||
\(925\) | −1.44827e12 | + | 1.44827e12i | −0.0650446 | + | 0.0650446i | ||||
\(926\) | 2.94921e12 | − | 1.06992e12i | 0.131812 | − | 0.0478190i | ||||
\(927\) | −4.89769e13 | −2.17837 | ||||||||
\(928\) | −5.55508e12 | − | 3.93338e12i | −0.245881 | − | 0.174101i | ||||
\(929\) | 1.57326e13 | 0.692997 | 0.346498 | − | 0.938051i | \(-0.387371\pi\) | ||||
0.346498 | + | 0.938051i | \(0.387371\pi\) | |||||||
\(930\) | 2.74354e13 | − | 9.95301e12i | 1.20265 | − | 0.436296i | ||||
\(931\) | −1.79566e13 | + | 1.79566e13i | −0.783339 | + | 0.783339i | ||||
\(932\) | 2.43232e13 | + | 2.91113e13i | 1.05596 | + | 1.26384i | ||||
\(933\) | 7.01663e12 | + | 7.01663e12i | 0.303152 | + | 0.303152i | ||||
\(934\) | 1.16399e13 | − | 2.48936e13i | 0.500483 | − | 1.07035i | ||||
\(935\) | 2.82718e12i | 0.120977i | ||||||||
\(936\) | 5.20863e13 | − | 1.37806e13i | 2.21810 | − | 0.586848i | ||||
\(937\) | − | 1.72462e13i | − | 0.730910i | −0.930829 | − | 0.365455i | \(-0.880913\pi\) | ||
0.930829 | − | 0.365455i | \(-0.119087\pi\) | |||||||
\(938\) | −6.30261e13 | − | 2.94703e13i | −2.65832 | − | 1.24300i | ||||
\(939\) | 2.46427e13 | + | 2.46427e13i | 1.03441 | + | 1.03441i | ||||
\(940\) | −1.81186e13 | − | 1.62357e12i | −0.756919 | − | 0.0678257i | ||||
\(941\) | −2.62873e13 | + | 2.62873e13i | −1.09293 | + | 1.09293i | −0.0977177 | + | 0.995214i | \(0.531154\pi\) |
−0.995214 | + | 0.0977177i | \(0.968846\pi\) | |||||||
\(942\) | 7.76225e12 | + | 2.13966e13i | 0.321187 | + | 0.885350i | ||||
\(943\) | −6.02635e11 | −0.0248171 | ||||||||
\(944\) | 1.48279e13 | − | 1.02900e13i | 0.607723 | − | 0.421735i | ||||
\(945\) | −3.83172e13 | −1.56297 | ||||||||
\(946\) | −9.54191e11 | − | 2.63022e12i | −0.0387369 | − | 0.106778i | ||||
\(947\) | 4.20478e12 | − | 4.20478e12i | 0.169890 | − | 0.169890i | −0.617041 | − | 0.786931i | \(-0.711669\pi\) |
0.786931 | + | 0.617041i | \(0.211669\pi\) | |||||||
\(948\) | −1.37578e12 | + | 1.53534e13i | −0.0553237 | + | 0.617400i | ||||
\(949\) | 2.26407e13 | + | 2.26407e13i | 0.906134 | + | 0.906134i | ||||
\(950\) | 1.08779e12 | + | 5.08636e11i | 0.0433298 | + | 0.0202605i | ||||
\(951\) | − | 4.06660e13i | − | 1.61220i | ||||||
\(952\) | 4.61133e13 | + | 2.68178e13i | 1.81953 | + | 1.05817i | ||||
\(953\) | 1.71043e12i | 0.0671719i | 0.999436 | + | 0.0335859i | \(0.0106927\pi\) | ||||
−0.999436 | + | 0.0335859i | \(0.989307\pi\) | |||||||
\(954\) | −2.49419e12 | + | 5.33415e12i | −0.0974902 | + | 0.208496i | ||||
\(955\) | −3.65518e13 | − | 3.65518e13i | −1.42198 | − | 1.42198i | ||||
\(956\) | −5.48625e12 | + | 4.58389e12i | −0.212430 | + | 0.177490i | ||||
\(957\) | −7.93226e11 | + | 7.93226e11i | −0.0305698 | + | 0.0305698i | ||||
\(958\) | −3.41662e12 | + | 1.23948e12i | −0.131054 | + | 0.0475439i | ||||
\(959\) | 6.75466e13 | 2.57881 | ||||||||
\(960\) | −2.16281e13 | − | 3.80127e13i | −0.821861 | − | 1.44447i | ||||
\(961\) | −1.07717e13 | −0.407408 | ||||||||
\(962\) | −4.88876e13 | + | 1.77355e13i | −1.84040 | + | 0.667659i | ||||
\(963\) | −1.95232e13 | + | 1.95232e13i | −0.731532 | + | 0.731532i | ||||
\(964\) | 3.19272e13 | − | 2.66759e13i | 1.19073 | − | 0.994883i | ||||
\(965\) | −1.05688e13 | − | 1.05688e13i | −0.392333 | − | 0.392333i | ||||
\(966\) | 2.03434e12 | − | 4.35071e12i | 0.0751669 | − | 0.160755i | ||||
\(967\) | 1.47472e13i | 0.542364i | 0.962528 | + | 0.271182i | \(0.0874146\pi\) | ||||
−0.962528 | + | 0.271182i | \(0.912585\pi\) | |||||||
\(968\) | −2.34263e13 | − | 1.36239e13i | −0.857561 | − | 0.498726i | ||||
\(969\) | − | 4.07506e13i | − | 1.48483i | ||||||
\(970\) | 1.40492e13 | + | 6.56925e12i | 0.509542 | + | 0.238256i | ||||
\(971\) | 2.12961e13 | + | 2.12961e13i | 0.768800 | + | 0.768800i | 0.977895 | − | 0.209095i | \(-0.0670518\pi\) |
−0.209095 | + | 0.977895i | \(0.567052\pi\) | |||||||
\(972\) | −2.62180e12 | + | 2.92587e13i | −0.0942111 | + | 1.05137i | ||||
\(973\) | 2.70824e13 | − | 2.70824e13i | 0.968678 | − | 0.968678i | ||||
\(974\) | 6.04518e12 | + | 1.66635e13i | 0.215226 | + | 0.593267i | ||||
\(975\) | 4.46128e12 | 0.158102 | ||||||||
\(976\) | 1.22396e13 | + | 1.76373e13i | 0.431760 | + | 0.622170i | ||||
\(977\) | −3.00255e13 | −1.05430 | −0.527151 | − | 0.849772i | \(-0.676740\pi\) | ||||
−0.527151 | + | 0.849772i | \(0.676740\pi\) | |||||||
\(978\) | −1.49770e13 | − | 4.12839e13i | −0.523480 | − | 1.44297i | ||||
\(979\) | 2.00687e12 | − | 2.00687e12i | 0.0698228 | − | 0.0698228i | ||||
\(980\) | 4.67830e13 | + | 4.19211e12i | 1.62021 | + | 0.145183i | ||||
\(981\) | −3.58572e13 | − | 3.58572e13i | −1.23613 | − | 1.23613i | ||||
\(982\) | −3.84117e13 | − | 1.79609e13i | −1.31814 | − | 0.616348i | ||||
\(983\) | 3.98401e13i | 1.36091i | 0.732789 | + | 0.680456i | \(0.238218\pi\) | ||||
−0.732789 | + | 0.680456i | \(0.761782\pi\) | |||||||
\(984\) | 1.64971e13 | − | 4.36467e12i | 0.560957 | − | 0.148413i | ||||
\(985\) | 2.49827e13i | 0.845621i | ||||||||
\(986\) | −4.96879e12 | + | 1.06264e13i | −0.167419 | + | 0.358048i | ||||
\(987\) | 4.00000e13 | + | 4.00000e13i | 1.34163 | + | 1.34163i | ||||
\(988\) | 1.95497e13 | + | 2.33982e13i | 0.652731 | + | 0.781225i | ||||
\(989\) | −1.86272e12 | + | 1.86272e12i | −0.0619104 | + | 0.0619104i | ||||
\(990\) | −4.15578e12 | + | 1.50764e12i | −0.137497 | + | 0.0498813i | ||||
\(991\) | −5.90759e13 | −1.94571 | −0.972857 | − | 0.231408i | \(-0.925667\pi\) | ||||
−0.972857 | + | 0.231408i | \(0.925667\pi\) | |||||||
\(992\) | −3.95550e12 | − | 2.31435e13i | −0.129688 | − | 0.758797i | ||||
\(993\) | 2.89329e13 | 0.944322 | ||||||||
\(994\) | 3.57997e13 | − | 1.29874e13i | 1.16316 | − | 0.421973i | ||||
\(995\) | −5.85675e11 | + | 5.85675e11i | −0.0189432 | + | 0.0189432i | ||||
\(996\) | −2.40913e13 | − | 2.88338e13i | −0.775700 | − | 0.928400i | ||||
\(997\) | −8.29112e12 | − | 8.29112e12i | −0.265757 | − | 0.265757i | 0.561631 | − | 0.827388i | \(-0.310174\pi\) |
−0.827388 | + | 0.561631i | \(0.810174\pi\) | |||||||
\(998\) | −5.59864e12 | + | 1.19734e13i | −0.178647 | + | 0.382060i | ||||
\(999\) | 4.01646e13i | 1.27585i |
(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 | 16.10.e.a.5.16 | ✓ | 34 | |
4.3 | odd | 2 | 64.10.e.a.49.16 | 34 | |||
8.3 | odd | 2 | 128.10.e.a.97.2 | 34 | |||
8.5 | even | 2 | 128.10.e.b.97.16 | 34 | |||
16.3 | odd | 4 | 64.10.e.a.17.16 | 34 | |||
16.5 | even | 4 | 128.10.e.b.33.16 | 34 | |||
16.11 | odd | 4 | 128.10.e.a.33.2 | 34 | |||
16.13 | even | 4 | inner | 16.10.e.a.13.16 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.10.e.a.5.16 | ✓ | 34 | 1.1 | even | 1 | trivial | |
16.10.e.a.13.16 | yes | 34 | 16.13 | even | 4 | inner | |
64.10.e.a.17.16 | 34 | 16.3 | odd | 4 | |||
64.10.e.a.49.16 | 34 | 4.3 | odd | 2 | |||
128.10.e.a.33.2 | 34 | 16.11 | odd | 4 | |||
128.10.e.a.97.2 | 34 | 8.3 | odd | 2 | |||
128.10.e.b.33.16 | 34 | 16.5 | even | 4 | |||
128.10.e.b.97.16 | 34 | 8.5 | even | 2 |