Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [7,9,Mod(3,7)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(7, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("7.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 7.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: | \(2.85165027043\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 592x^{6} - 1176x^{5} + 336397x^{4} - 348096x^{3} + 8673408x^{2} + 8271396x + 197880489 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4}\cdot 3\cdot 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(-12.1698 - 21.0787i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 7.5 |
Dual form | 7.9.d.a.3.1 |
$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −12.6698 | + | 21.9447i | −0.791860 | + | 1.37154i | 0.132953 | + | 0.991122i | \(0.457554\pi\) |
−0.924814 | + | 0.380420i | \(0.875779\pi\) | |||||||
\(3\) | −7.68317 | + | 4.43588i | −0.0948540 | + | 0.0547640i | −0.546677 | − | 0.837344i | \(-0.684107\pi\) |
0.451823 | + | 0.892108i | \(0.350774\pi\) | |||||||
\(4\) | −193.046 | − | 334.366i | −0.754086 | − | 1.30612i | ||||
\(5\) | −538.352 | − | 310.818i | −0.861363 | − | 0.497308i | 0.00310521 | − | 0.999995i | \(-0.499012\pi\) |
−0.864469 | + | 0.502687i | \(0.832345\pi\) | |||||||
\(6\) | − | 224.806i | − | 0.173462i | ||||||
\(7\) | 207.497 | + | 2392.02i | 0.0864212 | + | 0.996259i | ||||
\(8\) | 3296.47 | 0.804803 | ||||||||
\(9\) | −3241.15 | + | 5613.83i | −0.494002 | + | 0.855636i | ||||
\(10\) | 13641.6 | − | 7875.98i | 1.36416 | − | 0.787598i | ||||
\(11\) | −7543.97 | − | 13066.5i | −0.515263 | − | 0.892462i | −0.999843 | − | 0.0177150i | \(-0.994361\pi\) |
0.484580 | − | 0.874747i | \(-0.338972\pi\) | |||||||
\(12\) | 2966.41 | + | 1712.66i | 0.143056 | + | 0.0825935i | ||||
\(13\) | 45108.1i | 1.57936i | 0.613520 | + | 0.789679i | \(0.289753\pi\) | ||||
−0.613520 | + | 0.789679i | \(0.710247\pi\) | |||||||
\(14\) | −55121.0 | − | 25752.8i | −1.43484 | − | 0.670368i | ||||
\(15\) | 5515.00 | 0.108938 | ||||||||
\(16\) | 7654.25 | − | 13257.6i | 0.116795 | − | 0.202294i | ||||
\(17\) | 35971.3 | − | 20768.1i | 0.430686 | − | 0.248657i | −0.268953 | − | 0.963153i | \(-0.586678\pi\) |
0.699639 | + | 0.714497i | \(0.253344\pi\) | |||||||
\(18\) | −82129.1 | − | 142252.i | −0.782361 | − | 1.35509i | ||||
\(19\) | 102272. | + | 59046.5i | 0.784766 | + | 0.453085i | 0.838117 | − | 0.545491i | \(-0.183657\pi\) |
−0.0533505 | + | 0.998576i | \(0.516990\pi\) | |||||||
\(20\) | 240009.i | 1.50005i | ||||||||
\(21\) | −12204.9 | − | 17457.8i | −0.0627565 | − | 0.0897663i | ||||
\(22\) | 382321. | 1.63207 | ||||||||
\(23\) | −108522. | + | 187966.i | −0.387800 | + | 0.671689i | −0.992153 | − | 0.125027i | \(-0.960098\pi\) |
0.604354 | + | 0.796716i | \(0.293431\pi\) | |||||||
\(24\) | −25327.4 | + | 14622.8i | −0.0763387 | + | 0.0440742i | ||||
\(25\) | −2097.15 | − | 3632.37i | −0.00536871 | − | 0.00929888i | ||||
\(26\) | −989882. | − | 571509.i | −2.16616 | − | 1.25063i | ||||
\(27\) | − | 115717.i | − | 0.217742i | ||||||
\(28\) | 759752. | − | 531149.i | 1.23606 | − | 0.864141i | ||||
\(29\) | −30221.5 | −0.0427291 | −0.0213646 | − | 0.999772i | \(-0.506801\pi\) | ||||
−0.0213646 | + | 0.999772i | \(0.506801\pi\) | |||||||
\(30\) | −69873.8 | + | 121025.i | −0.0862639 | + | 0.149414i | ||||
\(31\) | −1.11207e6 | + | 642056.i | −1.20417 | + | 0.695226i | −0.961479 | − | 0.274879i | \(-0.911362\pi\) |
−0.242687 | + | 0.970105i | \(0.578029\pi\) | |||||||
\(32\) | 615904. | + | 1.06678e6i | 0.587371 | + | 1.01736i | ||||
\(33\) | 115923. | + | 66928.3i | 0.0977495 | + | 0.0564357i | ||||
\(34\) | 1.05251e6i | 0.787606i | ||||||||
\(35\) | 631775. | − | 1.35224e6i | 0.421008 | − | 0.901119i | ||||
\(36\) | 2.50276e6 | 1.49008 | ||||||||
\(37\) | 1.31411e6 | − | 2.27610e6i | 0.701170 | − | 1.21446i | −0.266886 | − | 0.963728i | \(-0.585995\pi\) |
0.968056 | − | 0.250734i | \(-0.0806719\pi\) | |||||||
\(38\) | −2.59151e6 | + | 1.49621e6i | −1.24285 | + | 0.717560i | ||||
\(39\) | −200094. | − | 346573.i | −0.0864919 | − | 0.149808i | ||||
\(40\) | −1.77466e6 | − | 1.02460e6i | −0.693228 | − | 0.400235i | ||||
\(41\) | 1.05856e6i | 0.374610i | 0.982302 | + | 0.187305i | \(0.0599753\pi\) | ||||
−0.982302 | + | 0.187305i | \(0.940025\pi\) | |||||||
\(42\) | 537741. | − | 46646.7i | 0.172813 | − | 0.0149908i | ||||
\(43\) | −668072. | −0.195411 | −0.0977056 | − | 0.995215i | \(-0.531150\pi\) | ||||
−0.0977056 | + | 0.995215i | \(0.531150\pi\) | |||||||
\(44\) | −2.91267e6 | + | 5.04489e6i | −0.777105 | + | 1.34599i | ||||
\(45\) | 3.48976e6 | − | 2.01481e6i | 0.851030 | − | 0.491343i | ||||
\(46\) | −2.74990e6 | − | 4.76297e6i | −0.614166 | − | 1.06377i | ||||
\(47\) | 846852. | + | 488930.i | 0.173547 | + | 0.100197i | 0.584257 | − | 0.811569i | \(-0.301386\pi\) |
−0.410711 | + | 0.911766i | \(0.634719\pi\) | |||||||
\(48\) | 135813.i | 0.0255845i | ||||||||
\(49\) | −5.67869e6 | + | 992674.i | −0.985063 | + | 0.172196i | ||||
\(50\) | 106282. | 0.0170051 | ||||||||
\(51\) | −184249. | + | 319129.i | −0.0272349 | + | 0.0471721i | ||||
\(52\) | 1.50826e7 | − | 8.70793e6i | 2.06282 | − | 1.19097i | ||||
\(53\) | 236100. | + | 408938.i | 0.0299222 | + | 0.0518267i | 0.880599 | − | 0.473863i | \(-0.157141\pi\) |
−0.850677 | + | 0.525689i | \(0.823807\pi\) | |||||||
\(54\) | 2.53937e6 | + | 1.46611e6i | 0.298642 | + | 0.172421i | ||||
\(55\) | 9.37920e6i | 1.02498i | ||||||||
\(56\) | 684009. | + | 7.88522e6i | 0.0695520 | + | 0.801792i | ||||
\(57\) | −1.04769e6 | −0.0992509 | ||||||||
\(58\) | 382899. | − | 663201.i | 0.0338355 | − | 0.0586048i | ||||
\(59\) | −1.62100e7 | + | 9.35883e6i | −1.33775 | + | 0.772349i | −0.986473 | − | 0.163924i | \(-0.947585\pi\) |
−0.351274 | + | 0.936273i | \(0.614252\pi\) | |||||||
\(60\) | −1.06465e6 | − | 1.84403e6i | −0.0821489 | − | 0.142286i | ||||
\(61\) | 2.08226e7 | + | 1.20220e7i | 1.50389 | + | 0.868272i | 0.999990 | + | 0.00451064i | \(0.00143579\pi\) |
0.503901 | + | 0.863761i | \(0.331898\pi\) | |||||||
\(62\) | − | 3.25388e7i | − | 2.20209i | ||||||
\(63\) | −1.41009e7 | − | 6.58802e6i | −0.895127 | − | 0.418209i | ||||
\(64\) | −2.72944e7 | −1.62688 | ||||||||
\(65\) | 1.40204e7 | − | 2.42840e7i | 0.785428 | − | 1.36040i | ||||
\(66\) | −2.93744e6 | + | 1.69593e6i | −0.154808 | + | 0.0893784i | ||||
\(67\) | 5.58656e6 | + | 9.67621e6i | 0.277233 | + | 0.480182i | 0.970696 | − | 0.240310i | \(-0.0772492\pi\) |
−0.693463 | + | 0.720492i | \(0.743916\pi\) | |||||||
\(68\) | −1.38882e7 | − | 8.01838e6i | −0.649549 | − | 0.375017i | ||||
\(69\) | − | 1.92557e6i | − | 0.0849498i | ||||||
\(70\) | 2.16701e7 | + | 3.09967e7i | 0.902543 | + | 1.29099i | ||||
\(71\) | −7.52604e6 | −0.296164 | −0.148082 | − | 0.988975i | \(-0.547310\pi\) | ||||
−0.148082 | + | 0.988975i | \(0.547310\pi\) | |||||||
\(72\) | −1.06843e7 | + | 1.85058e7i | −0.397574 | + | 0.688618i | ||||
\(73\) | 8.54618e6 | − | 4.93414e6i | 0.300941 | − | 0.173748i | −0.341925 | − | 0.939727i | \(-0.611079\pi\) |
0.642865 | + | 0.765979i | \(0.277745\pi\) | |||||||
\(74\) | 3.32988e7 | + | 5.76752e7i | 1.11046 | + | 1.92337i | ||||
\(75\) | 32225.6 | + | 18605.4i | 0.00101849 | + | 0.000588024i | ||||
\(76\) | − | 4.55948e7i | − | 1.36666i | ||||||
\(77\) | 2.96900e7 | − | 2.07566e7i | 0.844593 | − | 0.590463i | ||||
\(78\) | 1.01406e7 | 0.273958 | ||||||||
\(79\) | −7.33740e6 | + | 1.27088e7i | −0.188380 | + | 0.326283i | −0.944710 | − | 0.327907i | \(-0.893657\pi\) |
0.756330 | + | 0.654190i | \(0.226990\pi\) | |||||||
\(80\) | −8.24136e6 | + | 4.75815e6i | −0.201205 | + | 0.116166i | ||||
\(81\) | −2.07519e7 | − | 3.59433e7i | −0.482077 | − | 0.834983i | ||||
\(82\) | −2.32298e7 | − | 1.34117e7i | −0.513794 | − | 0.296639i | ||||
\(83\) | 3.82697e6i | 0.0806386i | 0.999187 | + | 0.0403193i | \(0.0128375\pi\) | ||||
−0.999187 | + | 0.0403193i | \(0.987162\pi\) | |||||||
\(84\) | −3.48119e6 | + | 7.45108e6i | −0.0699214 | + | 0.149659i | ||||
\(85\) | −2.58203e7 | −0.494636 | ||||||||
\(86\) | 8.46432e6 | − | 1.46606e7i | 0.154738 | − | 0.268015i | ||||
\(87\) | 232197. | − | 134059.i | 0.00405303 | − | 0.00234002i | ||||
\(88\) | −2.48685e7 | − | 4.30735e7i | −0.414685 | − | 0.718256i | ||||
\(89\) | 3.43868e7 | + | 1.98532e7i | 0.548065 | + | 0.316425i | 0.748341 | − | 0.663314i | \(-0.230851\pi\) |
−0.200276 | + | 0.979739i | \(0.564184\pi\) | |||||||
\(90\) | 1.02109e8i | 1.55630i | ||||||||
\(91\) | −1.07899e8 | + | 9.35980e6i | −1.57345 | + | 0.136490i | ||||
\(92\) | 8.37992e7 | 1.16974 | ||||||||
\(93\) | 5.69616e6 | − | 9.86605e6i | 0.0761466 | − | 0.131890i | ||||
\(94\) | −2.14588e7 | + | 1.23893e7i | −0.274849 | + | 0.158684i | ||||
\(95\) | −3.67054e7 | − | 6.35756e7i | −0.450646 | − | 0.780542i | ||||
\(96\) | −9.46418e6 | − | 5.46415e6i | −0.111429 | − | 0.0643336i | ||||
\(97\) | 7.73242e7i | 0.873431i | 0.899600 | + | 0.436716i | \(0.143858\pi\) | ||||
−0.899600 | + | 0.436716i | \(0.856142\pi\) | |||||||
\(98\) | 5.01638e7 | − | 1.37194e8i | 0.543859 | − | 1.48741i | ||||
\(99\) | 9.78044e7 | 1.01816 | ||||||||
\(100\) | −809694. | + | 1.40243e6i | −0.00809694 | + | 0.0140243i | ||||
\(101\) | 9.09573e7 | − | 5.25142e7i | 0.874082 | − | 0.504651i | 0.00537912 | − | 0.999986i | \(-0.498288\pi\) |
0.868702 | + | 0.495334i | \(0.164954\pi\) | |||||||
\(102\) | −4.66879e6 | − | 8.08658e6i | −0.0431324 | − | 0.0747075i | ||||
\(103\) | 3.91912e7 | + | 2.26271e7i | 0.348209 | + | 0.201039i | 0.663896 | − | 0.747825i | \(-0.268902\pi\) |
−0.315687 | + | 0.948863i | \(0.602235\pi\) | |||||||
\(104\) | 1.48697e8i | 1.27107i | ||||||||
\(105\) | 1.14435e6 | + | 1.31920e7i | 0.00941458 | + | 0.108531i | ||||
\(106\) | −1.19653e7 | −0.0947767 | ||||||||
\(107\) | −7.19850e7 | + | 1.24682e8i | −0.549170 | + | 0.951190i | 0.449162 | + | 0.893450i | \(0.351723\pi\) |
−0.998332 | + | 0.0577396i | \(0.981611\pi\) | |||||||
\(108\) | −3.86918e7 | + | 2.23387e7i | −0.284396 | + | 0.164196i | ||||
\(109\) | 6.89865e6 | + | 1.19488e7i | 0.0488718 | + | 0.0846484i | 0.889426 | − | 0.457078i | \(-0.151104\pi\) |
−0.840555 | + | 0.541727i | \(0.817771\pi\) | |||||||
\(110\) | −2.05823e8 | − | 1.18832e8i | −1.40580 | − | 0.811640i | ||||
\(111\) | 2.33169e7i | 0.153595i | ||||||||
\(112\) | 3.33005e7 | + | 1.55582e7i | 0.211631 | + | 0.0988751i | ||||
\(113\) | 5.93601e7 | 0.364066 | 0.182033 | − | 0.983292i | \(-0.441732\pi\) | ||||
0.182033 | + | 0.983292i | \(0.441732\pi\) | |||||||
\(114\) | 1.32740e7 | − | 2.29913e7i | 0.0785929 | − | 0.136127i | ||||
\(115\) | 1.16846e8 | − | 6.74613e7i | 0.668073 | − | 0.385712i | ||||
\(116\) | 5.83414e6 | + | 1.01050e7i | 0.0322214 | + | 0.0558091i | ||||
\(117\) | −2.53229e8 | − | 1.46202e8i | −1.35136 | − | 0.780206i | ||||
\(118\) | − | 4.74297e8i | − | 2.44637i | ||||||
\(119\) | 5.71415e7 | + | 8.17347e7i | 0.284947 | + | 0.407586i | ||||
\(120\) | 1.81800e7 | 0.0876738 | ||||||||
\(121\) | −6.64346e6 | + | 1.15068e7i | −0.0309922 | + | 0.0536801i | ||||
\(122\) | −5.27636e8 | + | 3.04631e8i | −2.38174 | + | 1.37510i | ||||
\(123\) | −4.69564e6 | − | 8.13310e6i | −0.0205152 | − | 0.0355333i | ||||
\(124\) | 4.29363e8 | + | 2.47893e8i | 1.81609 | + | 1.04852i | ||||
\(125\) | 2.45434e8i | 1.00530i | ||||||||
\(126\) | 3.23227e8 | − | 2.25971e8i | 1.28241 | − | 0.896542i | ||||
\(127\) | −1.06829e8 | −0.410653 | −0.205327 | − | 0.978694i | \(-0.565826\pi\) | ||||
−0.205327 | + | 0.978694i | \(0.565826\pi\) | |||||||
\(128\) | 1.88143e8 | − | 3.25873e8i | 0.700887 | − | 1.21397i | ||||
\(129\) | 5.13291e6 | − | 2.96349e6i | 0.0185355 | − | 0.0107015i | ||||
\(130\) | 3.55270e8 | + | 6.15346e8i | 1.24390 | + | 2.15450i | ||||
\(131\) | 6.44492e7 | + | 3.72097e7i | 0.218843 | + | 0.126349i | 0.605414 | − | 0.795910i | \(-0.293007\pi\) |
−0.386572 | + | 0.922259i | \(0.626341\pi\) | |||||||
\(132\) | − | 5.16810e7i | − | 0.170229i | ||||||
\(133\) | −1.20019e8 | + | 2.56887e8i | −0.383569 | + | 0.820986i | ||||
\(134\) | −2.83122e8 | −0.878120 | ||||||||
\(135\) | −3.59669e7 | + | 6.22965e7i | −0.108285 | + | 0.187555i | ||||
\(136\) | 1.18578e8 | − | 6.84613e7i | 0.346617 | − | 0.200120i | ||||
\(137\) | −2.12863e8 | − | 3.68690e8i | −0.604253 | − | 1.04660i | −0.992169 | − | 0.124902i | \(-0.960138\pi\) |
0.387916 | − | 0.921695i | \(-0.373195\pi\) | |||||||
\(138\) | 4.22560e7 | + | 2.43965e7i | 0.116512 | + | 0.0672684i | ||||
\(139\) | − | 6.23591e8i | − | 1.67048i | −0.549887 | − | 0.835239i | \(-0.685329\pi\) | ||
0.549887 | − | 0.835239i | \(-0.314671\pi\) | |||||||
\(140\) | −5.74104e8 | + | 4.98011e7i | −1.49444 | + | 0.129636i | ||||
\(141\) | −8.67535e6 | −0.0219488 | ||||||||
\(142\) | 9.53531e7 | − | 1.65156e8i | 0.234521 | − | 0.406202i | ||||
\(143\) | 5.89406e8 | − | 3.40294e8i | 1.40952 | − | 0.813785i | ||||
\(144\) | 4.96171e7 | + | 8.59393e7i | 0.115393 | + | 0.199867i | ||||
\(145\) | 1.62698e7 | + | 9.39337e6i | 0.0368053 | + | 0.0212495i | ||||
\(146\) | 2.50058e8i | 0.550337i | ||||||||
\(147\) | 3.92270e7 | − | 3.28169e7i | 0.0840070 | − | 0.0702794i | ||||
\(148\) | −1.01473e9 | −2.11497 | ||||||||
\(149\) | −3.22377e8 | + | 5.58373e8i | −0.654062 | + | 1.13287i | 0.328067 | + | 0.944655i | \(0.393603\pi\) |
−0.982128 | + | 0.188213i | \(0.939730\pi\) | |||||||
\(150\) | −816581. | + | 471453.i | −0.00161300 | + | 0.000931266i | ||||
\(151\) | −2.46888e8 | − | 4.27622e8i | −0.474888 | − | 0.822530i | 0.524698 | − | 0.851288i | \(-0.324178\pi\) |
−0.999586 | + | 0.0287578i | \(0.990845\pi\) | |||||||
\(152\) | 3.37135e8 | + | 1.94645e8i | 0.631582 | + | 0.364644i | ||||
\(153\) | 2.69249e8i | 0.491347i | ||||||||
\(154\) | 7.93306e7 | + | 9.14519e8i | 0.141045 | + | 1.62596i | ||||
\(155\) | 7.98249e8 | 1.38297 | ||||||||
\(156\) | −7.72547e7 | + | 1.33809e8i | −0.130445 | + | 0.225937i | ||||
\(157\) | 5.42707e8 | − | 3.13332e8i | 0.893237 | − | 0.515711i | 0.0182370 | − | 0.999834i | \(-0.494195\pi\) |
0.875000 | + | 0.484123i | \(0.160861\pi\) | |||||||
\(158\) | −1.85926e8 | − | 3.22034e8i | −0.298341 | − | 0.516741i | ||||
\(159\) | −3.62800e6 | − | 2.09463e6i | −0.00567647 | − | 0.00327731i | ||||
\(160\) | − | 7.65735e8i | − | 1.16842i | ||||||
\(161\) | −4.72136e8 | − | 2.20585e8i | −0.702690 | − | 0.328301i | ||||
\(162\) | 1.05168e9 | 1.52695 | ||||||||
\(163\) | 6.33708e7 | − | 1.09762e8i | 0.0897716 | − | 0.155489i | −0.817643 | − | 0.575726i | \(-0.804720\pi\) |
0.907415 | + | 0.420237i | \(0.138053\pi\) | |||||||
\(164\) | 3.53946e8 | − | 2.04351e8i | 0.489284 | − | 0.282489i | ||||
\(165\) | −4.16050e7 | − | 7.20620e7i | −0.0561319 | − | 0.0972233i | ||||
\(166\) | −8.39817e7 | − | 4.84869e7i | −0.110599 | − | 0.0638546i | ||||
\(167\) | 1.18643e9i | 1.52537i | 0.646769 | + | 0.762686i | \(0.276120\pi\) | ||||
−0.646769 | + | 0.762686i | \(0.723880\pi\) | |||||||
\(168\) | −4.02332e7 | − | 5.75493e7i | −0.0505066 | − | 0.0722442i | ||||
\(169\) | −1.21901e9 | −1.49437 | ||||||||
\(170\) | 3.27137e8 | − | 5.66619e8i | 0.391683 | − | 0.678415i | ||||
\(171\) | −6.62954e8 | + | 3.82757e8i | −0.775352 | + | 0.447650i | ||||
\(172\) | 1.28969e8 | + | 2.23380e8i | 0.147357 | + | 0.255230i | ||||
\(173\) | 9.46074e8 | + | 5.46216e8i | 1.05619 | + | 0.609790i | 0.924375 | − | 0.381485i | \(-0.124587\pi\) |
0.131812 | + | 0.991275i | \(0.457921\pi\) | |||||||
\(174\) | 6.79398e6i | 0.00741186i | ||||||||
\(175\) | 8.25355e6 | − | 5.77013e6i | 0.00880012 | − | 0.00615225i | ||||
\(176\) | −2.30974e8 | −0.240720 | ||||||||
\(177\) | 8.30293e7 | − | 1.43811e8i | 0.0845938 | − | 0.146521i | ||||
\(178\) | −8.71346e8 | + | 5.03072e8i | −0.867982 | + | 0.501130i | ||||
\(179\) | 3.68631e8 | + | 6.38488e8i | 0.359071 | + | 0.621929i | 0.987806 | − | 0.155691i | \(-0.0497603\pi\) |
−0.628735 | + | 0.777620i | \(0.716427\pi\) | |||||||
\(180\) | −1.34737e9 | − | 7.77903e8i | −1.28350 | − | 0.741029i | ||||
\(181\) | − | 4.20927e8i | − | 0.392186i | −0.980585 | − | 0.196093i | \(-0.937175\pi\) | ||
0.980585 | − | 0.196093i | \(-0.0628255\pi\) | |||||||
\(182\) | 1.16166e9 | − | 2.48640e9i | 1.05875 | − | 2.26613i | ||||
\(183\) | −2.13312e8 | −0.190200 | ||||||||
\(184\) | −3.57741e8 | + | 6.19625e8i | −0.312102 | + | 0.540577i | ||||
\(185\) | −1.41490e9 | + | 8.16895e8i | −1.20792 | + | 0.697395i | ||||
\(186\) | 1.44338e8 | + | 2.50001e8i | 0.120595 | + | 0.208877i | ||||
\(187\) | −5.42733e8 | − | 3.13347e8i | −0.443833 | − | 0.256247i | ||||
\(188\) | − | 3.77544e8i | − | 0.302229i | ||||||
\(189\) | 2.76797e8 | − | 2.40110e7i | 0.216927 | − | 0.0188175i | ||||
\(190\) | 1.86020e9 | 1.42740 | ||||||||
\(191\) | 7.19560e8 | − | 1.24632e9i | 0.540672 | − | 0.936471i | −0.458194 | − | 0.888852i | \(-0.651503\pi\) |
0.998866 | − | 0.0476189i | \(-0.0151633\pi\) | |||||||
\(192\) | 2.09708e8 | − | 1.21075e8i | 0.154316 | − | 0.0890942i | ||||
\(193\) | 4.83721e8 | + | 8.37829e8i | 0.348631 | + | 0.603846i | 0.986006 | − | 0.166707i | \(-0.0533134\pi\) |
−0.637376 | + | 0.770553i | \(0.719980\pi\) | |||||||
\(194\) | −1.69686e9 | − | 9.79680e8i | −1.19795 | − | 0.691636i | ||||
\(195\) | 2.48771e8i | 0.172053i | ||||||||
\(196\) | 1.42816e9 | + | 1.70713e9i | 0.967729 | + | 1.15676i | ||||
\(197\) | 1.95412e9 | 1.29744 | 0.648719 | − | 0.761028i | \(-0.275305\pi\) | ||||
0.648719 | + | 0.761028i | \(0.275305\pi\) | |||||||
\(198\) | −1.23916e9 | + | 2.14629e9i | −0.806244 | + | 1.39645i | ||||
\(199\) | 7.60575e8 | − | 4.39118e8i | 0.484987 | − | 0.280007i | −0.237506 | − | 0.971386i | \(-0.576330\pi\) |
0.722492 | + | 0.691379i | \(0.242996\pi\) | |||||||
\(200\) | −6.91320e6 | − | 1.19740e7i | −0.00432075 | − | 0.00748376i | ||||
\(201\) | −8.58450e7 | − | 4.95626e7i | −0.0525933 | − | 0.0303648i | ||||
\(202\) | 2.66137e9i | 1.59845i | ||||||||
\(203\) | −6.27088e6 | − | 7.22903e7i | −0.00369270 | − | 0.0425692i | ||||
\(204\) | 1.42274e8 | 0.0821497 | ||||||||
\(205\) | 3.29019e8 | − | 5.69878e8i | 0.186297 | − | 0.322676i | ||||
\(206\) | −9.93087e8 | + | 5.73359e8i | −0.551466 | + | 0.318389i | ||||
\(207\) | −7.03473e8 | − | 1.21845e9i | −0.383148 | − | 0.663631i | ||||
\(208\) | 5.98022e8 | + | 3.45268e8i | 0.319495 | + | 0.184461i | ||||
\(209\) | − | 1.78178e9i | − | 0.933832i | ||||||
\(210\) | −3.03992e8 | − | 1.42027e8i | −0.156310 | − | 0.0730287i | ||||
\(211\) | −1.16534e9 | −0.587926 | −0.293963 | − | 0.955817i | \(-0.594974\pi\) | ||||
−0.293963 | + | 0.955817i | \(0.594974\pi\) | |||||||
\(212\) | 9.11564e7 | − | 1.57888e8i | 0.0451278 | − | 0.0781636i | ||||
\(213\) | 5.78238e7 | − | 3.33846e7i | 0.0280924 | − | 0.0162191i | ||||
\(214\) | −1.82407e9 | − | 3.15937e9i | −0.869732 | − | 1.50642i | ||||
\(215\) | 3.59658e8 | + | 2.07649e8i | 0.168320 | + | 0.0971797i | ||||
\(216\) | − | 3.81458e8i | − | 0.175239i | ||||||
\(217\) | −1.76656e9 | − | 2.52687e9i | −0.796690 | − | 1.13958i | ||||
\(218\) | −3.49617e8 | −0.154799 | ||||||||
\(219\) | −4.37745e7 | + | 7.58197e7i | −0.0190303 | + | 0.0329614i | ||||
\(220\) | 3.13608e9 | − | 1.81062e9i | 1.33874 | − | 0.772922i | ||||
\(221\) | 9.36807e8 | + | 1.62260e9i | 0.392718 | + | 0.680208i | ||||
\(222\) | −5.11681e8 | − | 2.95419e8i | −0.210663 | − | 0.121626i | ||||
\(223\) | 2.39709e9i | 0.969313i | 0.874704 | + | 0.484657i | \(0.161055\pi\) | ||||
−0.874704 | + | 0.484657i | \(0.838945\pi\) | |||||||
\(224\) | −2.42395e9 | + | 1.69460e9i | −0.962789 | + | 0.673095i | ||||
\(225\) | 2.71887e7 | 0.0106086 | ||||||||
\(226\) | −7.52078e8 | + | 1.30264e9i | −0.288290 | + | 0.499333i | ||||
\(227\) | −2.74838e9 | + | 1.58678e9i | −1.03508 | + | 0.597604i | −0.918436 | − | 0.395570i | \(-0.870547\pi\) |
−0.116644 | + | 0.993174i | \(0.537214\pi\) | |||||||
\(228\) | 2.02253e8 | + | 3.50312e8i | 0.0748437 | + | 0.129633i | ||||
\(229\) | 1.43011e9 | + | 8.25676e8i | 0.520030 | + | 0.300239i | 0.736947 | − | 0.675951i | \(-0.236267\pi\) |
−0.216917 | + | 0.976190i | \(0.569600\pi\) | |||||||
\(230\) | 3.41888e9i | 1.22172i | ||||||||
\(231\) | −1.36040e8 | + | 2.91178e8i | −0.0477769 | + | 0.102261i | ||||
\(232\) | −9.96243e7 | −0.0343885 | ||||||||
\(233\) | 1.96925e9 | − | 3.41085e9i | 0.668156 | − | 1.15728i | −0.310263 | − | 0.950651i | \(-0.600417\pi\) |
0.978419 | − | 0.206630i | \(-0.0662496\pi\) | |||||||
\(234\) | 6.41671e9 | − | 3.70469e9i | 2.14017 | − | 1.23563i | ||||
\(235\) | −3.03936e8 | − | 5.26433e8i | −0.0996578 | − | 0.172612i | ||||
\(236\) | 6.25854e9 | + | 3.61337e9i | 2.01755 | + | 1.16483i | ||||
\(237\) | − | 1.30191e8i | − | 0.0412657i | ||||||
\(238\) | −2.51761e9 | + | 2.18392e8i | −0.784659 | + | 0.0680658i | ||||
\(239\) | −4.18775e9 | −1.28348 | −0.641740 | − | 0.766922i | \(-0.721787\pi\) | ||||
−0.641740 | + | 0.766922i | \(0.721787\pi\) | |||||||
\(240\) | 4.22132e7 | − | 7.31154e7i | 0.0127234 | − | 0.0220376i | ||||
\(241\) | −6.02803e8 | + | 3.48029e8i | −0.178693 | + | 0.103168i | −0.586678 | − | 0.809820i | \(-0.699565\pi\) |
0.407985 | + | 0.912988i | \(0.366231\pi\) | |||||||
\(242\) | −1.68342e8 | − | 2.91577e8i | −0.0490830 | − | 0.0850143i | ||||
\(243\) | 9.76383e8 | + | 5.63715e8i | 0.280024 | + | 0.161672i | ||||
\(244\) | − | 9.28316e9i | − | 2.61901i | ||||||
\(245\) | 3.36568e9 | + | 1.23063e9i | 0.934131 | + | 0.341557i | ||||
\(246\) | 2.37971e8 | 0.0649806 | ||||||||
\(247\) | −2.66347e9 | + | 4.61327e9i | −0.715584 | + | 1.23943i | ||||
\(248\) | −3.66592e9 | + | 2.11652e9i | −0.969116 | + | 0.559520i | ||||
\(249\) | −1.69760e7 | − | 2.94033e7i | −0.00441609 | − | 0.00764890i | ||||
\(250\) | −5.38596e9 | − | 3.10959e9i | −1.37881 | − | 0.796054i | ||||
\(251\) | − | 4.57254e9i | − | 1.15203i | −0.817440 | − | 0.576014i | \(-0.804608\pi\) | ||
0.817440 | − | 0.576014i | \(-0.195392\pi\) | |||||||
\(252\) | 5.19316e8 | + | 5.98665e9i | 0.128774 | + | 1.48450i | ||||
\(253\) | 3.27475e9 | 0.799276 | ||||||||
\(254\) | 1.35350e9 | − | 2.34433e9i | 0.325180 | − | 0.563228i | ||||
\(255\) | 1.98382e8 | − | 1.14536e8i | 0.0469182 | − | 0.0270882i | ||||
\(256\) | 1.27377e9 | + | 2.20623e9i | 0.296572 | + | 0.513677i | ||||
\(257\) | −2.25458e9 | − | 1.30168e9i | −0.516813 | − | 0.298382i | 0.218816 | − | 0.975766i | \(-0.429780\pi\) |
−0.735630 | + | 0.677384i | \(0.763114\pi\) | |||||||
\(258\) | 1.50187e8i | 0.0338964i | ||||||||
\(259\) | 5.71714e9 | + | 2.67108e9i | 1.27051 | + | 0.593591i | ||||
\(260\) | −1.08263e10 | −2.36912 | ||||||||
\(261\) | 9.79523e7 | − | 1.69658e8i | 0.0211083 | − | 0.0365606i | ||||
\(262\) | −1.63311e9 | + | 9.42878e8i | −0.346586 | + | 0.200101i | ||||
\(263\) | 3.32513e9 | + | 5.75929e9i | 0.695001 | + | 1.20378i | 0.970180 | + | 0.242384i | \(0.0779294\pi\) |
−0.275180 | + | 0.961393i | \(0.588737\pi\) | |||||||
\(264\) | 3.82138e8 | + | 2.20627e8i | 0.0786691 | + | 0.0454196i | ||||
\(265\) | − | 2.93537e8i | − | 0.0595222i | ||||||
\(266\) | −4.11669e9 | − | 5.88848e9i | −0.822284 | − | 1.17619i | ||||
\(267\) | −3.52266e8 | −0.0693148 | ||||||||
\(268\) | 2.15693e9 | − | 3.73591e9i | 0.418115 | − | 0.724197i | ||||
\(269\) | −7.83472e8 | + | 4.52338e8i | −0.149629 | + | 0.0863881i | −0.572945 | − | 0.819594i | \(-0.694199\pi\) |
0.423316 | + | 0.905982i | \(0.360866\pi\) | |||||||
\(270\) | −9.11384e8 | − | 1.57856e9i | −0.171493 | − | 0.297035i | ||||
\(271\) | −5.32810e9 | − | 3.07618e9i | −0.987860 | − | 0.570341i | −0.0832257 | − | 0.996531i | \(-0.526522\pi\) |
−0.904634 | + | 0.426190i | \(0.859856\pi\) | |||||||
\(272\) | − | 6.35856e8i | − | 0.116167i | ||||||
\(273\) | 7.87490e8 | − | 5.50541e8i | 0.141773 | − | 0.0991150i | ||||
\(274\) | 1.07877e10 | 1.91394 | ||||||||
\(275\) | −3.16417e7 | + | 5.48050e7i | −0.00553260 | + | 0.00958274i | ||||
\(276\) | −6.43843e8 | + | 3.71723e8i | −0.110954 | + | 0.0640594i | ||||
\(277\) | 2.09087e9 | + | 3.62150e9i | 0.355147 | + | 0.615133i | 0.987143 | − | 0.159838i | \(-0.0510973\pi\) |
−0.631996 | + | 0.774972i | \(0.717764\pi\) | |||||||
\(278\) | 1.36845e10 | + | 7.90075e9i | 2.29113 | + | 1.32279i | ||||
\(279\) | − | 8.32398e9i | − | 1.37377i | ||||||
\(280\) | 2.08263e9 | − | 4.45763e9i | 0.338828 | − | 0.725223i | ||||
\(281\) | −5.09977e9 | −0.817948 | −0.408974 | − | 0.912546i | \(-0.634113\pi\) | ||||
−0.408974 | + | 0.912546i | \(0.634113\pi\) | |||||||
\(282\) | 1.09915e8 | − | 1.90378e8i | 0.0173804 | − | 0.0301037i | ||||
\(283\) | −4.23044e8 | + | 2.44245e8i | −0.0659538 | + | 0.0380785i | −0.532614 | − | 0.846358i | \(-0.678790\pi\) |
0.466660 | + | 0.884437i | \(0.345457\pi\) | |||||||
\(284\) | 1.45287e9 | + | 2.51645e9i | 0.223333 | + | 0.386825i | ||||
\(285\) | 5.64028e8 | + | 3.25642e8i | 0.0854911 | + | 0.0493583i | ||||
\(286\) | 1.72458e10i | 2.57762i | ||||||||
\(287\) | −2.53209e9 | + | 2.19648e8i | −0.373209 | + | 0.0323743i | ||||
\(288\) | −7.98493e9 | −1.16065 | ||||||||
\(289\) | −2.62525e9 | + | 4.54707e9i | −0.376340 | + | 0.651839i | ||||
\(290\) | −4.12269e8 | + | 2.38024e8i | −0.0582893 | + | 0.0336534i | ||||
\(291\) | −3.43001e8 | − | 5.94095e8i | −0.0478326 | − | 0.0828484i | ||||
\(292\) | −3.29961e9 | − | 1.90503e9i | −0.453870 | − | 0.262042i | ||||
\(293\) | 4.16066e9i | 0.564536i | 0.959336 | + | 0.282268i | \(0.0910868\pi\) | ||||
−0.959336 | + | 0.282268i | \(0.908913\pi\) | |||||||
\(294\) | 2.23159e8 | + | 1.27661e9i | 0.0298694 | + | 0.170871i | ||||
\(295\) | 1.16356e10 | 1.53638 | ||||||||
\(296\) | 4.33191e9 | − | 7.50309e9i | 0.564303 | − | 0.977402i | ||||
\(297\) | −1.51202e9 | + | 8.72965e8i | −0.194326 | + | 0.112194i | ||||
\(298\) | −8.16888e9 | − | 1.41489e10i | −1.03585 | − | 1.79415i | ||||
\(299\) | −8.47879e9 | − | 4.89523e9i | −1.06084 | − | 0.612475i | ||||
\(300\) | − | 1.43668e7i | − | 0.00177368i | ||||||
\(301\) | −1.38623e8 | − | 1.59804e9i | −0.0168877 | − | 0.194680i | ||||
\(302\) | 1.25120e10 | 1.50418 | ||||||||
\(303\) | −4.65894e8 | + | 8.06951e8i | −0.0552734 | + | 0.0957363i | ||||
\(304\) | 1.56562e9 | − | 9.03913e8i | 0.183313 | − | 0.105836i | ||||
\(305\) | −7.47327e9 | − | 1.29441e10i | −0.863598 | − | 1.49580i | ||||
\(306\) | −5.90859e9 | − | 3.41132e9i | −0.673904 | − | 0.389079i | ||||
\(307\) | 2.47442e9i | 0.278561i | 0.990253 | + | 0.139280i | \(0.0444789\pi\) | ||||
−0.990253 | + | 0.139280i | \(0.955521\pi\) | |||||||
\(308\) | −1.26718e10 | − | 5.92035e9i | −1.40811 | − | 0.657876i | ||||
\(309\) | −4.01484e8 | −0.0440387 | ||||||||
\(310\) | −1.01136e10 | + | 1.75173e10i | −1.09512 | + | 1.89680i | ||||
\(311\) | 1.05000e10 | − | 6.06218e9i | 1.12240 | − | 0.648019i | 0.180388 | − | 0.983595i | \(-0.442265\pi\) |
0.942013 | + | 0.335577i | \(0.108931\pi\) | |||||||
\(312\) | −6.59604e8 | − | 1.14247e9i | −0.0696090 | − | 0.120566i | ||||
\(313\) | −3.10403e9 | − | 1.79211e9i | −0.323407 | − | 0.186719i | 0.329503 | − | 0.944154i | \(-0.393119\pi\) |
−0.652910 | + | 0.757435i | \(0.726452\pi\) | |||||||
\(314\) | 1.58794e10i | 1.63348i | ||||||||
\(315\) | 5.54358e9 | + | 7.92949e9i | 0.563051 | + | 0.805384i | ||||
\(316\) | 5.66583e9 | 0.568218 | ||||||||
\(317\) | 3.04555e9 | − | 5.27505e9i | 0.301598 | − | 0.522384i | −0.674900 | − | 0.737909i | \(-0.735813\pi\) |
0.976498 | + | 0.215526i | \(0.0691465\pi\) | |||||||
\(318\) | 9.19318e7 | − | 5.30768e7i | 0.00898995 | − | 0.00519035i | ||||
\(319\) | 2.27990e8 | + | 3.94890e8i | 0.0220167 | + | 0.0381341i | ||||
\(320\) | 1.46940e10 | + | 8.48360e9i | 1.40133 | + | 0.809059i | ||||
\(321\) | − | 1.27727e9i | − | 0.120299i | ||||||
\(322\) | 1.08225e10 | − | 7.56612e9i | 1.00671 | − | 0.703801i | ||||
\(323\) | 4.90512e9 | 0.450651 | ||||||||
\(324\) | −8.01212e9 | + | 1.38774e10i | −0.727056 | + | 1.25930i | ||||
\(325\) | 1.63849e8 | − | 9.45985e7i | 0.0146863 | − | 0.00847912i | ||||
\(326\) | 1.60579e9 | + | 2.78131e9i | 0.142173 | + | 0.246251i | ||||
\(327\) | −1.06007e8 | − | 6.12032e7i | −0.00927137 | − | 0.00535283i | ||||
\(328\) | 3.48951e9i | 0.301488i | ||||||||
\(329\) | −9.93810e8 | + | 2.12714e9i | −0.0848242 | + | 0.181556i | ||||
\(330\) | 2.10850e9 | 0.177795 | ||||||||
\(331\) | 1.75569e9 | − | 3.04095e9i | 0.146264 | − | 0.253336i | −0.783580 | − | 0.621291i | \(-0.786609\pi\) |
0.929844 | + | 0.367955i | \(0.119942\pi\) | |||||||
\(332\) | 1.27961e9 | − | 7.38782e8i | 0.105323 | − | 0.0608085i | ||||
\(333\) | 8.51841e9 | + | 1.47543e10i | 0.692758 | + | 1.19989i | ||||
\(334\) | −2.60358e10 | − | 1.50318e10i | −2.09211 | − | 1.20788i | ||||
\(335\) | − | 6.94561e9i | − | 0.551482i | ||||||
\(336\) | −3.24868e8 | + | 2.81809e7i | −0.0254888 | + | 0.00221105i | ||||
\(337\) | −1.74712e10 | −1.35458 | −0.677288 | − | 0.735718i | \(-0.736845\pi\) | ||||
−0.677288 | + | 0.735718i | \(0.736845\pi\) | |||||||
\(338\) | 1.54445e10 | − | 2.67507e10i | 1.18334 | − | 2.04960i | ||||
\(339\) | −4.56074e8 | + | 2.63314e8i | −0.0345331 | + | 0.0199377i | ||||
\(340\) | 4.98451e9 | + | 8.63343e9i | 0.372998 | + | 0.646052i | ||||
\(341\) | 1.67789e10 | + | 9.68729e9i | 1.24093 | + | 0.716448i | ||||
\(342\) | − | 1.93978e10i | − | 1.41790i | ||||||
\(343\) | −3.55281e9 | − | 1.33775e10i | −0.256682 | − | 0.966496i | ||||
\(344\) | −2.20228e9 | −0.157267 | ||||||||
\(345\) | −5.98500e8 | + | 1.03663e9i | −0.0422462 | + | 0.0731726i | ||||
\(346\) | −2.39731e10 | + | 1.38409e10i | −1.67271 | + | 0.965737i | ||||
\(347\) | −1.09748e9 | − | 1.90089e9i | −0.0756971 | − | 0.131111i | 0.825692 | − | 0.564121i | \(-0.190785\pi\) |
−0.901389 | + | 0.433010i | \(0.857452\pi\) | |||||||
\(348\) | −8.96494e7 | − | 5.17591e7i | −0.00611266 | − | 0.00352915i | ||||
\(349\) | 1.33156e10i | 0.897551i | 0.893645 | + | 0.448775i | \(0.148140\pi\) | ||||
−0.893645 | + | 0.448775i | \(0.851860\pi\) | |||||||
\(350\) | 2.20532e7 | + | 2.54228e8i | 0.00146960 | + | 0.0169415i | ||||
\(351\) | 5.21977e9 | 0.343893 | ||||||||
\(352\) | 9.29271e9 | − | 1.60955e10i | 0.605302 | − | 1.04841i | ||||
\(353\) | −2.50688e10 | + | 1.44735e10i | −1.61449 | + | 0.932125i | −0.626175 | + | 0.779683i | \(0.715380\pi\) |
−0.988312 | + | 0.152442i | \(0.951286\pi\) | |||||||
\(354\) | 2.10392e9 | + | 3.64410e9i | 0.133973 | + | 0.232048i | ||||
\(355\) | 4.05166e9 | + | 2.33923e9i | 0.255105 | + | 0.147285i | ||||
\(356\) | − | 1.53304e10i | − | 0.954448i | ||||||
\(357\) | −8.01593e8 | − | 3.74509e8i | −0.0493493 | − | 0.0230563i | ||||
\(358\) | −1.86819e10 | −1.13734 | ||||||||
\(359\) | −1.62127e10 | + | 2.80813e10i | −0.976063 | + | 1.69059i | −0.299683 | + | 0.954039i | \(0.596881\pi\) |
−0.676380 | + | 0.736553i | \(0.736452\pi\) | |||||||
\(360\) | 1.15039e10 | − | 6.64177e9i | 0.684911 | − | 0.395434i | ||||
\(361\) | −1.51880e9 | − | 2.63065e9i | −0.0894279 | − | 0.154894i | ||||
\(362\) | 9.23711e9 | + | 5.33305e9i | 0.537900 | + | 0.310557i | ||||
\(363\) | − | 1.17878e8i | − | 0.00678903i | ||||||
\(364\) | 2.39591e10 | + | 3.42709e10i | 1.36479 | + | 1.95218i | ||||
\(365\) | −6.13447e9 | −0.345626 | ||||||||
\(366\) | 2.70261e9 | − | 4.68106e9i | 0.150612 | − | 0.260867i | ||||
\(367\) | 1.48388e10 | − | 8.56716e9i | 0.817962 | − | 0.472251i | −0.0317511 | − | 0.999496i | \(-0.510108\pi\) |
0.849713 | + | 0.527245i | \(0.176775\pi\) | |||||||
\(368\) | 1.66131e9 | + | 2.87748e9i | 0.0905858 | + | 0.156899i | ||||
\(369\) | −5.94257e9 | − | 3.43095e9i | −0.320530 | − | 0.185058i | ||||
\(370\) | − | 4.13995e10i | − | 2.20896i | ||||||
\(371\) | −9.29196e8 | + | 6.49609e8i | −0.0490469 | + | 0.0342891i | ||||
\(372\) | −4.39849e9 | −0.229684 | ||||||||
\(373\) | 1.31388e10 | − | 2.27570e10i | 0.678765 | − | 1.17566i | −0.296588 | − | 0.955005i | \(-0.595849\pi\) |
0.975353 | − | 0.220650i | \(-0.0708178\pi\) | |||||||
\(374\) | 1.37526e10 | − | 7.94007e9i | 0.702908 | − | 0.405824i | ||||
\(375\) | −1.08871e9 | − | 1.88571e9i | −0.0550540 | − | 0.0953564i | ||||
\(376\) | 2.79162e9 | + | 1.61174e9i | 0.139671 | + | 0.0806389i | ||||
\(377\) | − | 1.36323e9i | − | 0.0674846i | ||||||
\(378\) | −2.98004e9 | + | 6.37844e9i | −0.145967 | + | 0.312426i | ||||
\(379\) | 1.76064e10 | 0.853326 | 0.426663 | − | 0.904411i | \(-0.359689\pi\) | ||||
0.426663 | + | 0.904411i | \(0.359689\pi\) | |||||||
\(380\) | −1.41717e10 | + | 2.45460e10i | −0.679652 | + | 1.17719i | ||||
\(381\) | 8.20787e8 | − | 4.73882e8i | 0.0389521 | − | 0.0224890i | ||||
\(382\) | 1.82333e10 | + | 3.15811e10i | 0.856273 | + | 1.48311i | ||||
\(383\) | 6.09418e9 | + | 3.51848e9i | 0.283218 | + | 0.163516i | 0.634879 | − | 0.772611i | \(-0.281050\pi\) |
−0.351661 | + | 0.936127i | \(0.614383\pi\) | |||||||
\(384\) | 3.33832e9i | 0.153533i | ||||||||
\(385\) | −2.24352e10 | + | 1.94616e9i | −1.02114 | + | 0.0885799i | ||||
\(386\) | −2.45145e10 | −1.10427 | ||||||||
\(387\) | 2.16532e9 | − | 3.75044e9i | 0.0965335 | − | 0.167201i | ||||
\(388\) | 2.58546e10 | − | 1.49271e10i | 1.14080 | − | 0.658642i | ||||
\(389\) | −3.87380e9 | − | 6.70961e9i | −0.169176 | − | 0.293021i | 0.768954 | − | 0.639304i | \(-0.220777\pi\) |
−0.938130 | + | 0.346282i | \(0.887444\pi\) | |||||||
\(390\) | −5.45920e9 | − | 3.15187e9i | −0.235978 | − | 0.136242i | ||||
\(391\) | 9.01519e9i | 0.385716i | ||||||||
\(392\) | −1.87196e10 | + | 3.27232e9i | −0.792781 | + | 0.138584i | ||||
\(393\) | −6.60232e8 | −0.0276775 | ||||||||
\(394\) | −2.47583e10 | + | 4.28826e10i | −1.02739 | + | 1.77949i | ||||
\(395\) | 7.90021e9 | − | 4.56119e9i | 0.324527 | − | 0.187366i | ||||
\(396\) | −1.88808e10 | − | 3.27024e10i | −0.767783 | − | 1.32984i | ||||
\(397\) | 4.10725e10 | + | 2.37132e10i | 1.65344 | + | 0.954615i | 0.975642 | + | 0.219369i | \(0.0703999\pi\) |
0.677800 | + | 0.735246i | \(0.262933\pi\) | |||||||
\(398\) | 2.22541e10i | 0.886906i | ||||||||
\(399\) | −2.17393e8 | − | 2.50610e9i | −0.00857738 | − | 0.0988796i | ||||
\(400\) | −6.42085e7 | −0.00250815 | ||||||||
\(401\) | 2.28795e10 | − | 3.96284e10i | 0.884848 | − | 1.53260i | 0.0389606 | − | 0.999241i | \(-0.487595\pi\) |
0.845888 | − | 0.533361i | \(-0.179071\pi\) | |||||||
\(402\) | 2.17527e9 | − | 1.25589e9i | 0.0832932 | − | 0.0480893i | ||||
\(403\) | −2.89619e10 | − | 5.01635e10i | −1.09801 | − | 1.90181i | ||||
\(404\) | −3.51179e10 | − | 2.02753e10i | −1.31827 | − | 0.761101i | ||||
\(405\) | 2.58002e10i | 0.958965i | ||||||||
\(406\) | 1.66584e9 | + | 7.78289e8i | 0.0613096 | + | 0.0286442i | ||||
\(407\) | −3.96543e10 | −1.44515 | ||||||||
\(408\) | −6.07372e8 | + | 1.05200e9i | −0.0219187 | + | 0.0379643i | ||||
\(409\) | 2.58003e10 | − | 1.48958e10i | 0.922002 | − | 0.532318i | 0.0377290 | − | 0.999288i | \(-0.487988\pi\) |
0.884273 | + | 0.466970i | \(0.154654\pi\) | |||||||
\(410\) | 8.33719e9 | + | 1.44404e10i | 0.295042 | + | 0.511028i | ||||
\(411\) | 3.27093e9 | + | 1.88847e9i | 0.114632 | + | 0.0661825i | ||||
\(412\) | − | 1.74723e10i | − | 0.606401i | ||||||
\(413\) | −2.57500e10 | − | 3.68326e10i | −0.885069 | − | 1.26600i | ||||
\(414\) | 3.56514e10 | 1.21360 | ||||||||
\(415\) | 1.18949e9 | − | 2.06026e9i | 0.0401023 | − | 0.0694592i | ||||
\(416\) | −4.81202e10 | + | 2.77822e10i | −1.60677 | + | 0.927670i | ||||
\(417\) | 2.76618e9 | + | 4.79116e9i | 0.0914820 | + | 0.158451i | ||||
\(418\) | 3.91006e10 | + | 2.25747e10i | 1.28079 | + | 0.739465i | ||||
\(419\) | 8.59298e9i | 0.278797i | 0.990236 | + | 0.139398i | \(0.0445169\pi\) | ||||
−0.990236 | + | 0.139398i | \(0.955483\pi\) | |||||||
\(420\) | 4.19003e9 | − | 2.92929e9i | 0.134654 | − | 0.0941380i | ||||
\(421\) | 1.64640e10 | 0.524090 | 0.262045 | − | 0.965056i | \(-0.415603\pi\) | ||||
0.262045 | + | 0.965056i | \(0.415603\pi\) | |||||||
\(422\) | 1.47646e10 | − | 2.55730e10i | 0.465555 | − | 0.806365i | ||||
\(423\) | −5.48954e9 | + | 3.16939e9i | −0.171465 | + | 0.0989952i | ||||
\(424\) | 7.78298e8 | + | 1.34805e9i | 0.0240814 | + | 0.0417103i | ||||
\(425\) | −1.50875e8 | − | 8.71076e7i | −0.00462446 | − | 0.00266993i | ||||
\(426\) | 1.69190e9i | 0.0513732i | ||||||||
\(427\) | −2.44361e10 | + | 5.23026e10i | −0.735055 | + | 1.57330i | ||||
\(428\) | 5.55856e10 | 1.65649 | ||||||||
\(429\) | −3.01901e9 | + | 5.22907e9i | −0.0891322 | + | 0.154382i | ||||
\(430\) | −9.11357e9 | + | 5.26172e9i | −0.266572 | + | 0.153905i | ||||
\(431\) | 2.87748e10 | + | 4.98394e10i | 0.833880 | + | 1.44432i | 0.894939 | + | 0.446188i | \(0.147219\pi\) |
−0.0610595 | + | 0.998134i | \(0.519448\pi\) | |||||||
\(432\) | −1.53412e9 | − | 8.85727e8i | −0.0440479 | − | 0.0254311i | ||||
\(433\) | 1.55755e10i | 0.443089i | 0.975150 | + | 0.221544i | \(0.0711098\pi\) | ||||
−0.975150 | + | 0.221544i | \(0.928890\pi\) | |||||||
\(434\) | 7.78333e10 | − | 6.75171e9i | 2.19385 | − | 0.190307i | ||||
\(435\) | −1.66672e8 | −0.00465484 | ||||||||
\(436\) | 2.66352e9 | − | 4.61334e9i | 0.0737071 | − | 0.127664i | ||||
\(437\) | −2.21975e10 | + | 1.28157e10i | −0.608664 | + | 0.351412i | ||||
\(438\) | −1.10923e9 | − | 1.92124e9i | −0.0301386 | − | 0.0522017i | ||||
\(439\) | −5.63938e10 | − | 3.25590e10i | −1.51835 | − | 0.876622i | −0.999767 | − | 0.0215979i | \(-0.993125\pi\) |
−0.518588 | − | 0.855024i | \(-0.673542\pi\) | |||||||
\(440\) | 3.09183e10i | 0.824906i | ||||||||
\(441\) | 1.28328e10 | − | 3.50966e10i | 0.339286 | − | 0.927920i | ||||
\(442\) | −4.74765e10 | −1.24391 | ||||||||
\(443\) | −2.05929e10 | + | 3.56679e10i | −0.534691 | + | 0.926111i | 0.464488 | + | 0.885580i | \(0.346238\pi\) |
−0.999178 | + | 0.0405316i | \(0.987095\pi\) | |||||||
\(444\) | 7.79635e9 | − | 4.50123e9i | 0.200613 | − | 0.115824i | ||||
\(445\) | −1.23415e10 | − | 2.13761e10i | −0.314722 | − | 0.545115i | ||||
\(446\) | −5.26033e10 | − | 3.03705e10i | −1.32945 | − | 0.767561i | ||||
\(447\) | − | 5.72010e9i | − | 0.143276i | ||||||
\(448\) | −5.66352e9 | − | 6.52888e10i | −0.140597 | − | 1.62079i | ||||
\(449\) | 6.11562e10 | 1.50472 | 0.752359 | − | 0.658753i | \(-0.228916\pi\) | ||||
0.752359 | + | 0.658753i | \(0.228916\pi\) | |||||||
\(450\) | −3.44475e8 | + | 5.96648e8i | −0.00840054 | + | 0.0145502i | ||||
\(451\) | 1.38317e10 | − | 7.98574e9i | 0.334326 | − | 0.193023i | ||||
\(452\) | −1.14592e10 | − | 1.98480e10i | −0.274537 | − | 0.475513i | ||||
\(453\) | 3.79376e9 | + | 2.19033e9i | 0.0900901 | + | 0.0520135i | ||||
\(454\) | − | 8.04165e10i | − | 1.89288i | ||||||
\(455\) | 6.09970e10 | + | 2.84981e10i | 1.42319 | + | 0.664922i | ||||
\(456\) | −3.45369e9 | −0.0798774 | ||||||||
\(457\) | −2.34725e10 | + | 4.06555e10i | −0.538139 | + | 0.932084i | 0.460866 | + | 0.887470i | \(0.347539\pi\) |
−0.999004 | + | 0.0446136i | \(0.985794\pi\) | |||||||
\(458\) | −3.62384e10 | + | 2.09222e10i | −0.823582 | + | 0.475495i | ||||
\(459\) | −2.40322e9 | − | 4.16249e9i | −0.0541430 | − | 0.0937784i | ||||
\(460\) | −4.51135e10 | − | 2.60463e10i | −1.00757 | − | 0.581720i | ||||
\(461\) | − | 3.08633e10i | − | 0.683343i | −0.939819 | − | 0.341672i | \(-0.889007\pi\) | ||
0.939819 | − | 0.341672i | \(-0.110993\pi\) | |||||||
\(462\) | −4.66621e9 | − | 6.67451e9i | −0.102423 | − | 0.146505i | ||||
\(463\) | −1.98278e10 | −0.431470 | −0.215735 | − | 0.976452i | \(-0.569215\pi\) | ||||
−0.215735 | + | 0.976452i | \(0.569215\pi\) | |||||||
\(464\) | −2.31323e8 | + | 4.00663e8i | −0.00499053 | + | 0.00864385i | ||||
\(465\) | −6.13308e9 | + | 3.54094e9i | −0.131180 | + | 0.0757367i | ||||
\(466\) | 4.99000e10 | + | 8.64293e10i | 1.05817 | + | 1.83281i | ||||
\(467\) | −2.95955e10 | − | 1.70870e10i | −0.622240 | − | 0.359250i | 0.155501 | − | 0.987836i | \(-0.450301\pi\) |
−0.777740 | + | 0.628586i | \(0.783634\pi\) | |||||||
\(468\) | 1.12895e11i | 2.35337i | ||||||||
\(469\) | −2.19865e10 | + | 1.53709e10i | −0.454427 | + | 0.317694i | ||||
\(470\) | 1.54032e10 | 0.315660 | ||||||||
\(471\) | −2.77981e9 | + | 4.81477e9i | −0.0564847 | + | 0.0978344i | ||||
\(472\) | −5.34357e10 | + | 3.08511e10i | −1.07662 | + | 0.621588i | ||||
\(473\) | 5.03991e9 | + | 8.72939e9i | 0.100688 | + | 0.174397i | ||||
\(474\) | 2.85701e9 | + | 1.64949e9i | 0.0565976 | + | 0.0326767i | ||||
\(475\) | − | 4.95318e8i | − | 0.00972993i | ||||||
\(476\) | 1.62983e10 | − | 3.48847e10i | 0.317479 | − | 0.679528i | ||||
\(477\) | −3.06094e9 | −0.0591264 | ||||||||
\(478\) | 5.30578e10 | − | 9.18988e10i | 1.01634 | − | 1.76035i | ||||
\(479\) | 4.60272e10 | − | 2.65738e10i | 0.874325 | − | 0.504792i | 0.00554199 | − | 0.999985i | \(-0.498236\pi\) |
0.868783 | + | 0.495193i | \(0.164903\pi\) | |||||||
\(480\) | 3.39671e9 | + | 5.88327e9i | 0.0639872 | + | 0.110829i | ||||
\(481\) | 1.02670e11 | + | 5.92768e10i | 1.91807 | + | 1.10740i | ||||
\(482\) | − | 1.76378e10i | − | 0.326780i | ||||||
\(483\) | 4.60599e9 | − | 3.99550e8i | 0.0846320 | − | 0.00734146i | ||||
\(484\) | 5.12997e9 | 0.0934832 | ||||||||
\(485\) | 2.40337e10 | − | 4.16277e10i | 0.434365 | − | 0.752342i | ||||
\(486\) | −2.47411e10 | + | 1.42843e10i | −0.443480 | + | 0.256043i | ||||
\(487\) | −1.91419e10 | − | 3.31547e10i | −0.340305 | − | 0.589426i | 0.644184 | − | 0.764871i | \(-0.277197\pi\) |
−0.984489 | + | 0.175444i | \(0.943864\pi\) | |||||||
\(488\) | 6.86412e10 | + | 3.96300e10i | 1.21034 | + | 0.698788i | ||||
\(489\) | 1.12442e9i | 0.0196650i | ||||||||
\(490\) | −6.96481e10 | + | 5.82669e10i | −1.20816 | + | 1.01074i | ||||
\(491\) | 2.59945e10 | 0.447255 | 0.223627 | − | 0.974675i | \(-0.428210\pi\) | ||||
0.223627 | + | 0.974675i | \(0.428210\pi\) | |||||||
\(492\) | −1.81295e9 | + | 3.14012e9i | −0.0309404 | + | 0.0535903i | ||||
\(493\) | −1.08711e9 | + | 6.27642e8i | −0.0184028 | + | 0.0106249i | ||||
\(494\) | −6.74912e10 | − | 1.16898e11i | −1.13329 | − | 1.96291i | ||||
\(495\) | −5.26532e10 | − | 3.03993e10i | −0.877009 | − | 0.506341i | ||||
\(496\) | 1.96578e10i | 0.324794i | ||||||||
\(497\) | −1.56163e9 | − | 1.80024e10i | −0.0255949 | − | 0.295056i | ||||
\(498\) | 8.60328e8 | 0.0139877 | ||||||||
\(499\) | −3.77856e10 | + | 6.54466e10i | −0.609430 | + | 1.05556i | 0.381904 | + | 0.924202i | \(0.375268\pi\) |
−0.991334 | + | 0.131362i | \(0.958065\pi\) | |||||||
\(500\) | 8.20646e10 | − | 4.73800e10i | 1.31303 | − | 0.758080i | ||||
\(501\) | −5.26285e9 | − | 9.11553e9i | −0.0835354 | − | 0.144688i | ||||
\(502\) | 1.00343e11 | + | 5.79330e10i | 1.58005 | + | 0.912245i | ||||
\(503\) | 2.19716e10i | 0.343234i | 0.985164 | + | 0.171617i | \(0.0548991\pi\) | ||||
−0.985164 | + | 0.171617i | \(0.945101\pi\) | |||||||
\(504\) | −4.64832e10 | − | 2.17172e10i | −0.720401 | − | 0.336575i | ||||
\(505\) | −6.52894e10 | −1.00387 | ||||||||
\(506\) | −4.14904e10 | + | 7.18634e10i | −0.632915 | + | 1.09624i | ||||
\(507\) | 9.36584e9 | − | 5.40737e9i | 0.141747 | − | 0.0818379i | ||||
\(508\) | 2.06230e10 | + | 3.57200e10i | 0.309668 | + | 0.536360i | ||||
\(509\) | −5.96835e10 | − | 3.44583e10i | −0.889166 | − | 0.513360i | −0.0154966 | − | 0.999880i | \(-0.504933\pi\) |
−0.873670 | + | 0.486520i | \(0.838266\pi\) | |||||||
\(510\) | 5.80457e9i | 0.0858004i | ||||||||
\(511\) | 1.35759e10 | + | 1.94188e10i | 0.199106 | + | 0.284799i | ||||
\(512\) | 3.17759e10 | 0.462400 | ||||||||
\(513\) | 6.83268e9 | − | 1.18346e10i | 0.0986556 | − | 0.170877i | ||||
\(514\) | 5.71301e10 | − | 3.29841e10i | 0.818488 | − | 0.472554i | ||||
\(515\) | −1.40658e10 | − | 2.43627e10i | −0.199956 | − | 0.346334i | ||||
\(516\) | −1.98178e9 | − | 1.14418e9i | −0.0279548 | − | 0.0161397i | ||||
\(517\) | − | 1.47539e10i | − | 0.206512i | ||||||
\(518\) | −1.31051e11 | + | 9.16188e10i | −1.82021 | + | 1.27252i | ||||
\(519\) | −9.69180e9 | −0.133578 | ||||||||
\(520\) | 4.62178e10 | − | 8.00516e10i | 0.632115 | − | 1.09486i | ||||
\(521\) | 1.11333e10 | − | 6.42779e9i | 0.151102 | − | 0.0872390i | −0.422542 | − | 0.906343i | \(-0.638862\pi\) |
0.573645 | + | 0.819104i | \(0.305529\pi\) | |||||||
\(522\) | 2.48206e9 | + | 4.29906e9i | 0.0334296 | + | 0.0579017i | ||||
\(523\) | −1.52678e10 | − | 8.81486e9i | −0.204065 | − | 0.117817i | 0.394485 | − | 0.918902i | \(-0.370923\pi\) |
−0.598550 | + | 0.801085i | \(0.704256\pi\) | |||||||
\(524\) | − | 2.87328e10i | − | 0.381112i | ||||||
\(525\) | −3.78178e7 | + | 8.09447e7i | −0.000497805 | + | 0.00106549i | ||||
\(526\) | −1.68514e11 | −2.20137 | ||||||||
\(527\) | −2.66685e10 | + | 4.61912e10i | −0.345745 | + | 0.598848i | ||||
\(528\) | 1.77461e9 | − | 1.02457e9i | 0.0228332 | − | 0.0131828i | ||||
\(529\) | 1.56013e10 | + | 2.70223e10i | 0.199223 | + | 0.345064i | ||||
\(530\) | 6.44157e9 | + | 3.71904e9i | 0.0816372 | + | 0.0471333i | ||||
\(531\) | − | 1.21333e11i | − | 1.52617i | ||||||
\(532\) | 1.09063e11 | − | 9.46079e9i | 1.36155 | − | 0.118108i | ||||
\(533\) | −4.77496e10 | −0.591644 | ||||||||
\(534\) | 4.46313e9 | − | 7.73037e9i | 0.0548877 | − | 0.0950682i | ||||
\(535\) | 7.75065e10 | − | 4.47484e10i | 0.946070 | − | 0.546214i | ||||
\(536\) | 1.84159e10 | + | 3.18973e10i | 0.223118 | + | 0.386452i | ||||
\(537\) | −5.66452e9 | − | 3.27041e9i | −0.0681186 | − | 0.0393283i | ||||
\(538\) | − | 2.29241e10i | − | 0.273629i | ||||||
\(539\) | 5.58107e10 | + | 6.67121e10i | 0.661245 | + | 0.790405i | ||||
\(540\) | 2.77731e10 | 0.326624 | ||||||||
\(541\) | 1.72031e10 | − | 2.97966e10i | 0.200825 | − | 0.347839i | −0.747970 | − | 0.663733i | \(-0.768971\pi\) |
0.948794 | + | 0.315894i | \(0.102304\pi\) | |||||||
\(542\) | 1.35012e11 | − | 7.79490e10i | 1.56449 | − | 0.903261i | ||||
\(543\) | 1.86718e9 | + | 3.23405e9i | 0.0214777 | + | 0.0372004i | ||||
\(544\) | 4.43097e10 | + | 2.55822e10i | 0.505945 | + | 0.292108i | ||||
\(545\) | − | 8.57690e9i | − | 0.0972174i | ||||||
\(546\) | 2.10414e9 | + | 2.42564e10i | 0.0236758 | + | 0.272933i | ||||
\(547\) | 1.59225e11 | 1.77853 | 0.889265 | − | 0.457392i | \(-0.151216\pi\) | ||||
0.889265 | + | 0.457392i | \(0.151216\pi\) | |||||||
\(548\) | −8.21848e10 | + | 1.42348e11i | −0.911317 | + | 1.57845i | ||||
\(549\) | −1.34978e11 | + | 7.79298e10i | −1.48585 | + | 0.857856i | ||||
\(550\) | −8.01786e8 | − | 1.38873e9i | −0.00876209 | − | 0.0151764i | ||||
\(551\) | −3.09080e9 | − | 1.78447e9i | −0.0335324 | − | 0.0193599i | ||||
\(552\) | − | 6.34758e9i | − | 0.0683678i | ||||||
\(553\) | −3.19220e10 | − | 1.49142e10i | −0.341342 | − | 0.159477i | ||||
\(554\) | −1.05964e11 | −1.12491 | ||||||||
\(555\) | 7.24729e9 | − | 1.25527e10i | 0.0763843 | − | 0.132301i | ||||
\(556\) | −2.08507e11 | + | 1.20382e11i | −2.18184 | + | 1.25968i | ||||
\(557\) | 7.13333e10 | + | 1.23553e11i | 0.741091 | + | 1.28361i | 0.951999 | + | 0.306101i | \(0.0990245\pi\) |
−0.210908 | + | 0.977506i | \(0.567642\pi\) | |||||||
\(558\) | 1.82667e11 | + | 1.05463e11i | 1.88419 | + | 1.08784i | ||||
\(559\) | − | 3.01354e10i | − | 0.308624i | ||||||
\(560\) | −1.30916e10 | − | 1.87262e10i | −0.133120 | − | 0.190413i | ||||
\(561\) | 5.55988e9 | 0.0561325 | ||||||||
\(562\) | 6.46129e10 | − | 1.11913e11i | 0.647701 | − | 1.12185i | ||||
\(563\) | −2.96095e10 | + | 1.70951e10i | −0.294712 | + | 0.170152i | −0.640065 | − | 0.768321i | \(-0.721093\pi\) |
0.345353 | + | 0.938473i | \(0.387759\pi\) | |||||||
\(564\) | 1.67474e9 | + | 2.90074e9i | 0.0165513 | + | 0.0286676i | ||||
\(565\) | −3.19566e10 | − | 1.84502e10i | −0.313594 | − | 0.181053i | ||||
\(566\) | − | 1.23781e10i | − | 0.120611i | ||||||
\(567\) | 8.16709e10 | − | 5.70969e10i | 0.790197 | − | 0.552434i | ||||
\(568\) | −2.48094e10 | −0.238354 | ||||||||
\(569\) | 7.21796e10 | − | 1.25019e11i | 0.688598 | − | 1.19269i | −0.283694 | − | 0.958915i | \(-0.591560\pi\) |
0.972292 | − | 0.233771i | \(-0.0751066\pi\) | |||||||
\(570\) | −1.42922e10 | + | 8.25161e9i | −0.135394 | + | 0.0781698i | ||||
\(571\) | −6.54346e8 | − | 1.13336e9i | −0.00615550 | − | 0.0106616i | 0.862931 | − | 0.505321i | \(-0.168626\pi\) |
−0.869087 | + | 0.494660i | \(0.835293\pi\) | |||||||
\(572\) | −2.27565e11 | − | 1.31385e11i | −2.12580 | − | 1.22733i | ||||
\(573\) | 1.27675e10i | 0.118437i | ||||||||
\(574\) | 2.72609e10 | − | 5.83489e10i | 0.251127 | − | 0.537508i | ||||
\(575\) | 9.10351e8 | 0.00832794 | ||||||||
\(576\) | 8.84653e10 | − | 1.53226e11i | 0.803679 | − | 1.39201i | ||||
\(577\) | −1.61786e11 | + | 9.34071e10i | −1.45961 | + | 0.842707i | −0.998992 | − | 0.0448904i | \(-0.985706\pi\) |
−0.460620 | + | 0.887598i | \(0.652373\pi\) | |||||||
\(578\) | −6.65227e10 | − | 1.15221e11i | −0.596017 | − | 1.03233i | ||||
\(579\) | −7.43302e9 | − | 4.29146e9i | −0.0661380 | − | 0.0381848i | ||||
\(580\) | − | 7.25341e9i | − | 0.0640959i | ||||||
\(581\) | −9.15419e9 | + | 7.94087e8i | −0.0803370 | + | 0.00696889i | ||||
\(582\) | 1.73830e10 | 0.151507 | ||||||||
\(583\) | 3.56227e9 | − | 6.17003e9i | 0.0308356 | − | 0.0534088i | ||||
\(584\) | 2.81722e10 | − | 1.62653e10i | 0.242198 | − | 0.139833i | ||||
\(585\) | 9.08842e10 | + | 1.57416e11i | 0.776006 | + | 1.34408i | ||||
\(586\) | −9.13044e10 | − | 5.27146e10i | −0.774285 | − | 0.447034i | ||||
\(587\) | − | 3.25700e10i | − | 0.274325i | −0.990549 | − | 0.137162i | \(-0.956202\pi\) | ||
0.990549 | − | 0.137162i | \(-0.0437982\pi\) | |||||||
\(588\) | −1.85454e10 | − | 6.78098e9i | −0.155141 | − | 0.0567261i | ||||
\(589\) | −1.51645e11 | −1.25999 | ||||||||
\(590\) | −1.47420e11 | + | 2.55339e11i | −1.21660 | + | 2.10721i | ||||
\(591\) | −1.50138e10 | + | 8.66825e9i | −0.123067 | + | 0.0710528i | ||||
\(592\) | −2.01170e10 | − | 3.48436e10i | −0.163786 | − | 0.283685i | ||||
\(593\) | 1.35068e11 | + | 7.79816e10i | 1.09228 | + | 0.630628i | 0.934182 | − | 0.356796i | \(-0.116131\pi\) |
0.158097 | + | 0.987424i | \(0.449464\pi\) | |||||||
\(594\) | − | 4.42411e10i | − | 0.355369i | ||||||
\(595\) | −5.35765e9 | − | 6.17627e10i | −0.0427471 | − | 0.492786i | ||||
\(596\) | 2.48934e11 | 1.97287 | ||||||||
\(597\) | −3.89575e9 | + | 6.74764e9i | −0.0306686 | + | 0.0531196i | ||||
\(598\) | 2.14848e11 | − | 1.24043e11i | 1.68007 | − | 0.969989i | ||||
\(599\) | 4.94308e10 | + | 8.56166e10i | 0.383964 | + | 0.665045i | 0.991625 | − | 0.129152i | \(-0.0412254\pi\) |
−0.607661 | + | 0.794196i | \(0.707892\pi\) | |||||||
\(600\) | 1.06231e8 | + | 6.13323e7i | 0.000819681 | + | 0.000473243i | ||||
\(601\) | 2.25854e11i | 1.73113i | 0.500795 | + | 0.865566i | \(0.333041\pi\) | ||||
−0.500795 | + | 0.865566i | \(0.666959\pi\) | |||||||
\(602\) | 3.68248e10 | + | 1.72048e10i | 0.280385 | + | 0.130997i | ||||
\(603\) | −7.24274e10 | −0.547815 | ||||||||
\(604\) | −9.53213e10 | + | 1.65101e11i | −0.716213 | + | 1.24052i | ||||
\(605\) | 7.15304e9 | − | 4.12981e9i | 0.0533911 | − | 0.0308254i | ||||
\(606\) | −1.18055e10 | − | 2.04478e10i | −0.0875376 | − | 0.151620i | ||||
\(607\) | −8.00075e10 | − | 4.61923e10i | −0.589353 | − | 0.340263i | 0.175488 | − | 0.984481i | \(-0.443850\pi\) |
−0.764842 | + | 0.644218i | \(0.777183\pi\) | |||||||
\(608\) | 1.45468e11i | 1.06452i | ||||||||
\(609\) | 3.68851e8 | + | 5.27602e8i | 0.00268153 | + | 0.00383564i | ||||
\(610\) | 3.78739e11 | 2.73540 | ||||||||
\(611\) | −2.20547e10 | + | 3.81999e10i | −0.158247 | + | 0.274092i | ||||
\(612\) | 9.00276e10 | − | 5.19775e10i | 0.641756 | − | 0.370518i | ||||
\(613\) | −1.20825e11 | − | 2.09275e11i | −0.855688 | − | 1.48209i | −0.876005 | − | 0.482301i | \(-0.839801\pi\) |
0.0203177 | − | 0.999794i | \(-0.493532\pi\) | |||||||
\(614\) | −5.43003e10 | − | 3.13503e10i | −0.382058 | − | 0.220581i | ||||
\(615\) | 5.83796e9i | 0.0408094i | ||||||||
\(616\) | 9.78723e10 | − | 6.84234e10i | 0.679731 | − | 0.475206i | ||||
\(617\) | −8.91014e10 | −0.614814 | −0.307407 | − | 0.951578i | \(-0.599461\pi\) | ||||
−0.307407 | + | 0.951578i | \(0.599461\pi\) | |||||||
\(618\) | 5.08671e9 | − | 8.81043e9i | 0.0348725 | − | 0.0604009i | ||||
\(619\) | 6.41149e10 | − | 3.70168e10i | 0.436714 | − | 0.252137i | −0.265489 | − | 0.964114i | \(-0.585533\pi\) |
0.702203 | + | 0.711977i | \(0.252200\pi\) | |||||||
\(620\) | −1.54099e11 | − | 2.66907e11i | −1.04288 | − | 1.80631i | ||||
\(621\) | 2.17509e10 | + | 1.25579e10i | 0.146255 | + | 0.0844402i | ||||
\(622\) | 3.07226e11i | 2.05256i | ||||||||
\(623\) | −4.03541e10 | + | 8.63733e10i | −0.267877 | + | 0.573360i | ||||
\(624\) | −6.12628e9 | −0.0404072 | ||||||||
\(625\) | 7.54659e10 | − | 1.30711e11i | 0.494574 | − | 0.856627i | ||||
\(626\) | 7.86547e10 | − | 4.54113e10i | 0.512186 | − | 0.295711i | ||||
\(627\) | 7.90376e9 | + | 1.36897e10i | 0.0511403 | + | 0.0885777i | ||||
\(628\) | −2.09535e11 | − | 1.20975e11i | −1.34715 | − | 0.777780i | ||||
\(629\) | − | 1.09166e11i | − | 0.697402i | ||||||
\(630\) | −2.44246e11 | + | 2.11873e10i | −1.55048 | + | 0.134497i | ||||
\(631\) | 1.82361e11 | 1.15031 | 0.575154 | − | 0.818045i | \(-0.304942\pi\) | ||||
0.575154 | + | 0.818045i | \(0.304942\pi\) | |||||||
\(632\) | −2.41875e10 | + | 4.18941e10i | −0.151608 | + | 0.262594i | ||||
\(633\) | 8.95350e9 | − | 5.16931e9i | 0.0557671 | − | 0.0321971i | ||||
\(634\) | 7.71729e10 | + | 1.33667e11i | 0.477648 | + | 0.827310i | ||||
\(635\) | 5.75117e10 | + | 3.32044e10i | 0.353722 | + | 0.204221i | ||||
\(636\) | 1.61744e9i | 0.00988550i | ||||||||
\(637\) | −4.47776e10 | − | 2.56155e11i | −0.271959 | − | 1.55577i | ||||
\(638\) | −1.15543e10 | −0.0697367 | ||||||||
\(639\) | 2.43930e10 | − | 4.22499e10i | 0.146306 | − | 0.253409i | ||||
\(640\) | −2.02574e11 | + | 1.16956e11i | −1.20744 | + | 0.697114i | ||||
\(641\) | −4.62186e10 | − | 8.00530e10i | −0.273770 | − | 0.474183i | 0.696054 | − | 0.717989i | \(-0.254937\pi\) |
−0.969824 | + | 0.243806i | \(0.921604\pi\) | |||||||
\(642\) | 2.80292e10 | + | 1.61827e10i | 0.164995 | + | 0.0952599i | ||||
\(643\) | − | 1.75919e10i | − | 0.102913i | −0.998675 | − | 0.0514563i | \(-0.983614\pi\) | ||
0.998675 | − | 0.0514563i | \(-0.0163863\pi\) | |||||||
\(644\) | 1.73881e10 | + | 2.00449e11i | 0.101090 | + | 1.16536i | ||||
\(645\) | −3.68442e9 | −0.0212878 | ||||||||
\(646\) | −6.21468e10 | + | 1.07641e11i | −0.356852 | + | 0.618086i | ||||
\(647\) | −1.96715e11 | + | 1.13574e11i | −1.12259 | + | 0.648127i | −0.942061 | − | 0.335442i | \(-0.891114\pi\) |
−0.180529 | + | 0.983570i | \(0.557781\pi\) | |||||||
\(648\) | −6.84079e10 | − | 1.18486e11i | −0.387977 | − | 0.671996i | ||||
\(649\) | 2.44575e11 | + | 1.41205e11i | 1.37858 | + | 0.795926i | ||||
\(650\) | 4.79416e9i | 0.0268571i | ||||||||
\(651\) | 2.47817e10 | + | 1.15781e10i | 0.137977 | + | 0.0644637i | ||||
\(652\) | −4.89340e10 | −0.270782 | ||||||||
\(653\) | 2.85574e10 | − | 4.94628e10i | 0.157060 | − | 0.272036i | −0.776747 | − | 0.629812i | \(-0.783132\pi\) |
0.933807 | + | 0.357777i | \(0.116465\pi\) | |||||||
\(654\) | 2.68617e9 | − | 1.55086e9i | 0.0146833 | − | 0.00847738i | ||||
\(655\) | −2.31309e10 | − | 4.00639e10i | −0.125669 | − | 0.217665i | ||||
\(656\) | 1.40339e10 | + | 8.10248e9i | 0.0757815 | + | 0.0437525i | ||||
\(657\) | 6.39691e10i | 0.343328i | ||||||||
\(658\) | −3.40880e10 | − | 4.87592e10i | −0.181843 | − | 0.260107i | ||||
\(659\) | −8.00810e10 | −0.424608 | −0.212304 | − | 0.977204i | \(-0.568097\pi\) | ||||
−0.212304 | + | 0.977204i | \(0.568097\pi\) | |||||||
\(660\) | −1.60634e10 | + | 2.78226e10i | −0.0846566 | + | 0.146629i | ||||
\(661\) | 2.59546e9 | − | 1.49849e9i | 0.0135959 | − | 0.00784960i | −0.493187 | − | 0.869924i | \(-0.664168\pi\) |
0.506783 | + | 0.862074i | \(0.330835\pi\) | |||||||
\(662\) | 4.44884e10 | + | 7.70562e10i | 0.231641 | + | 0.401214i | ||||
\(663\) | −1.43953e10 | − | 8.31113e9i | −0.0745017 | − | 0.0430136i | ||||
\(664\) | 1.26155e10i | 0.0648982i | ||||||||
\(665\) | 1.44458e11 | − | 1.00992e11i | 0.738676 | − | 0.516415i | ||||
\(666\) | −4.31705e11 | −2.19427 | ||||||||
\(667\) | 3.27970e9 | − | 5.68061e9i | 0.0165703 | − | 0.0287007i | ||||
\(668\) | 3.96701e11 | − | 2.29035e11i | 1.99231 | − | 1.15026i | ||||
\(669\) | −1.06332e10 | − | 1.84172e10i | −0.0530834 | − | 0.0919432i | ||||
\(670\) | 1.52419e11 | + | 8.79992e10i | 0.756381 | + | 0.436697i | ||||
\(671\) | − | 3.62773e11i | − | 1.78955i | ||||||
\(672\) | 1.11065e10 | − | 2.37723e10i | 0.0544631 | − | 0.116572i | ||||
\(673\) | 2.69919e11 | 1.31575 | 0.657874 | − | 0.753128i | \(-0.271456\pi\) | ||||
0.657874 | + | 0.753128i | \(0.271456\pi\) | |||||||
\(674\) | 2.21356e11 | − | 3.83400e11i | 1.07264 | − | 1.85786i | ||||
\(675\) | −4.20327e8 | + | 2.42676e8i | −0.00202476 | + | 0.00116899i | ||||
\(676\) | 2.35324e11 | + | 4.07594e11i | 1.12689 | + | 1.95183i | ||||
\(677\) | −1.37872e11 | − | 7.96005e10i | −0.656329 | − | 0.378932i | 0.134548 | − | 0.990907i | \(-0.457042\pi\) |
−0.790877 | + | 0.611975i | \(0.790375\pi\) | |||||||
\(678\) | − | 1.33445e10i | − | 0.0631516i | ||||||
\(679\) | −1.84961e11 | + | 1.60446e10i | −0.870163 | + | 0.0754830i | ||||
\(680\) | −8.51160e10 | −0.398085 | ||||||||
\(681\) | 1.40775e10 | − | 2.43830e10i | 0.0654543 | − | 0.113370i | ||||
\(682\) | −4.25169e11 | + | 2.45472e11i | −1.96528 | + | 1.13465i | ||||
\(683\) | 1.47142e11 | + | 2.54858e11i | 0.676169 | + | 1.17116i | 0.976126 | + | 0.217206i | \(0.0696943\pi\) |
−0.299957 | + | 0.953953i | \(0.596972\pi\) | |||||||
\(684\) | 2.55961e11 | + | 1.47779e11i | 1.16936 | + | 0.675133i | ||||
\(685\) | 2.64647e11i | 1.20200i | ||||||||
\(686\) | 3.38579e11 | + | 9.15252e10i | 1.52885 | + | 0.413280i | ||||
\(687\) | −1.46504e10 | −0.0657692 | ||||||||
\(688\) | −5.11359e9 | + | 8.85700e9i | −0.0228230 | + | 0.0395306i | ||||
\(689\) | −1.84464e10 | + | 1.06500e10i | −0.0818530 | + | 0.0472578i | ||||
\(690\) | −1.51657e10 | − | 2.62678e10i | −0.0669063 | − | 0.115885i | ||||
\(691\) | −2.94657e11 | − | 1.70120e11i | −1.29242 | − | 0.746180i | −0.313338 | − | 0.949642i | \(-0.601447\pi\) |
−0.979083 | + | 0.203462i | \(0.934781\pi\) | |||||||
\(692\) | − | 4.21779e11i | − | 1.83934i | ||||||
\(693\) | 2.02941e10 | + | 2.33950e11i | 0.0879909 | + | 1.01435i | ||||
\(694\) | 5.56194e10 | 0.239766 | ||||||||
\(695\) | −1.93823e11 | + | 3.35712e11i | −0.830743 | + | 1.43889i | ||||
\(696\) | 7.65430e8 | − | 4.41921e8i | 0.00326189 | − | 0.00188325i | ||||
\(697\) | 2.19842e10 | + | 3.80778e10i | 0.0931494 | + | 0.161340i | ||||
\(698\) | −2.92207e11 | − | 1.68706e11i | −1.23103 | − | 0.710735i | ||||
\(699\) | 3.49415e10i | 0.146364i | ||||||||
\(700\) | −3.52265e9 | − | 1.64580e9i | −0.0146716 | − | 0.00685465i | ||||
\(701\) | −2.33843e11 | −0.968395 | −0.484198 | − | 0.874959i | \(-0.660888\pi\) | ||||
−0.484198 | + | 0.874959i | \(0.660888\pi\) | |||||||
\(702\) | −6.61333e10 | + | 1.14546e11i | −0.272315 | + | 0.471663i | ||||
\(703\) | 2.68791e11 | − | 1.55187e11i | 1.10051 | − | 0.635379i | ||||
\(704\) | 2.05908e11 | + | 3.56644e11i | 0.838269 | + | 1.45192i | ||||
\(705\) | 4.67039e9 | + | 2.69645e9i | 0.0189059 | + | 0.0109153i | ||||
\(706\) | − | 7.33502e11i | − | 2.95245i | ||||||
\(707\) | 1.44488e11 | + | 2.06675e11i | 0.578302 | + | 0.827199i | ||||
\(708\) | −6.41139e10 | −0.255164 | ||||||||
\(709\) | −3.01653e10 | + | 5.22478e10i | −0.119377 | + | 0.206768i | −0.919521 | − | 0.393041i | \(-0.871423\pi\) |
0.800144 | + | 0.599808i | \(0.204757\pi\) | |||||||
\(710\) | −1.02667e11 | + | 5.92749e10i | −0.404015 | + | 0.233258i | ||||
\(711\) | −4.75632e10 | − | 8.23819e10i | −0.186120 | − | 0.322369i | ||||
\(712\) | 1.13355e11 | + | 6.54456e10i | 0.441084 | + | 0.254660i | ||||
\(713\) | − | 2.78709e11i | − | 1.07843i | ||||||
\(714\) | 1.83745e10 | − | 1.28458e10i | 0.0707005 | − | 0.0494273i | ||||
\(715\) | −4.23077e11 | −1.61881 | ||||||||
\(716\) | 1.42326e11 | − | 2.46515e11i | 0.541541 | − | 0.937976i | ||||
\(717\) | 3.21752e10 | − | 1.85764e10i | 0.121743 | − | 0.0702884i | ||||
\(718\) | −4.10823e11 | − | 7.11566e11i | −1.54581 | − | 2.67743i | ||||
\(719\) | 1.75723e11 | + | 1.01453e11i | 0.657524 | + | 0.379622i | 0.791333 | − | 0.611385i | \(-0.209387\pi\) |
−0.133809 | + | 0.991007i | \(0.542721\pi\) | |||||||
\(720\) | − | 6.16875e10i | − | 0.229545i | ||||||
\(721\) | −4.59923e10 | + | 9.84411e10i | −0.170194 | + | 0.364280i | ||||
\(722\) | 7.69716e10 | 0.283258 | ||||||||
\(723\) | 3.08763e9 | − | 5.34793e9i | 0.0112998 | − | 0.0195719i | ||||
\(724\) | −1.40743e11 | + | 8.12583e10i | −0.512240 | + | 0.295742i | ||||
\(725\) | 6.33791e7 | + | 1.09776e8i | 0.000229400 | + | 0.000397333i | ||||
\(726\) | 2.58680e9 | + | 1.49349e9i | 0.00931144 | + | 0.00537596i | ||||
\(727\) | 4.22806e11i | 1.51358i | 0.653661 | + | 0.756788i | \(0.273232\pi\) | ||||
−0.653661 | + | 0.756788i | \(0.726768\pi\) | |||||||
\(728\) | −3.55687e11 | + | 3.08543e10i | −1.26632 | + | 0.109848i | ||||
\(729\) | 2.62304e11 | 0.928740 | ||||||||
\(730\) | 7.77224e10 | − | 1.34619e11i | 0.273687 | − | 0.474040i | ||||
\(731\) | −2.40314e10 | + | 1.38746e10i | −0.0841609 | + | 0.0485903i | ||||
\(732\) | 4.11790e10 | + | 7.13241e10i | 0.143427 | + | 0.248423i | ||||
\(733\) | 8.86979e10 | + | 5.12098e10i | 0.307254 | + | 0.177393i | 0.645697 | − | 0.763594i | \(-0.276567\pi\) |
−0.338443 | + | 0.940987i | \(0.609900\pi\) | |||||||
\(734\) | 4.34176e11i | 1.49583i | ||||||||
\(735\) | −3.13180e10 | + | 5.47460e9i | −0.107311 | + | 0.0187587i | ||||
\(736\) | −2.67357e11 | −0.911130 | ||||||||
\(737\) | 8.42897e10 | − | 1.45994e11i | 0.285696 | − | 0.494840i | ||||
\(738\) | 1.50582e11 | − | 8.69386e10i | 0.507631 | − | 0.293081i | ||||
\(739\) | −8.96701e10 | − | 1.55313e11i | −0.300656 | − | 0.520751i | 0.675629 | − | 0.737242i | \(-0.263872\pi\) |
−0.976285 | + | 0.216491i | \(0.930539\pi\) | |||||||
\(740\) | 5.46283e11 | + | 3.15396e11i | 1.82176 | + | 1.05179i | ||||
\(741\) | − | 4.72594e10i | − | 0.156753i | ||||||
\(742\) | −2.48278e9 | − | 2.86213e10i | −0.00819072 | − | 0.0944221i | ||||
\(743\) | 2.88782e11 | 0.947578 | 0.473789 | − | 0.880638i | \(-0.342886\pi\) | ||||
0.473789 | + | 0.880638i | \(0.342886\pi\) | |||||||
\(744\) | 1.87772e10 | − | 3.25231e10i | 0.0612830 | − | 0.106145i | ||||
\(745\) | 3.47104e11 | − | 2.00401e11i | 1.12677 | − | 0.650541i | ||||
\(746\) | 3.32930e11 | + | 5.76652e11i | 1.07497 | + | 1.86191i | ||||
\(747\) | −2.14840e10 | − | 1.24038e10i | −0.0689973 | − | 0.0398356i | ||||
\(748\) | 2.41962e11i | 0.772930i | ||||||||
\(749\) | −3.13177e11 | − | 1.46318e11i | −0.995091 | − | 0.464912i | ||||
\(750\) | 5.51750e10 | 0.174380 | ||||||||
\(751\) | −9.23103e10 | + | 1.59886e11i | −0.290195 | + | 0.502633i | −0.973856 | − | 0.227167i | \(-0.927054\pi\) |
0.683660 | + | 0.729800i | \(0.260387\pi\) | |||||||
\(752\) | 1.29640e10 | − | 7.48479e9i | 0.0405386 | − | 0.0234050i | ||||
\(753\) | 2.02832e10 | + | 3.51316e10i | 0.0630896 | + | 0.109274i | ||||
\(754\) | 2.99157e10 | + | 1.72718e10i | 0.0925580 | + | 0.0534384i | ||||
\(755\) | 3.06948e11i | 0.944664i | ||||||||
\(756\) | −6.14630e10 | − | 8.79162e10i | −0.188160 | − | 0.269142i | ||||
\(757\) | 5.28088e11 | 1.60814 | 0.804068 | − | 0.594538i | \(-0.202665\pi\) | ||||
0.804068 | + | 0.594538i | \(0.202665\pi\) | |||||||
\(758\) | −2.23070e11 | + | 3.86368e11i | −0.675715 | + | 1.17037i | ||||
\(759\) | −2.51605e10 | + | 1.45264e10i | −0.0758145 | + | 0.0437715i | ||||
\(760\) | −1.20998e11 | − | 2.09575e11i | −0.362681 | − | 0.628182i | ||||
\(761\) | −2.48891e11 | − | 1.43697e11i | −0.742114 | − | 0.428460i | 0.0807233 | − | 0.996737i | \(-0.474277\pi\) |
−0.822838 | + | 0.568277i | \(0.807610\pi\) | |||||||
\(762\) | 2.40159e10i | 0.0712326i | ||||||||
\(763\) | −2.71503e10 | + | 1.89810e10i | −0.0801082 | + | 0.0560044i | ||||
\(764\) | −5.55633e11 | −1.63085 | ||||||||
\(765\) | 8.36874e10 | − | 1.44951e11i | 0.244351 | − | 0.423229i | ||||
\(766\) | −1.54424e11 | + | 8.91566e10i | −0.448538 | + | 0.258963i | ||||
\(767\) | −4.22159e11 | − | 7.31200e11i | −1.21982 | − | 2.11278i | ||||
\(768\) | −1.95731e10 | − | 1.13005e10i | −0.0562620 | − | 0.0324829i | ||||
\(769\) | − | 6.06456e10i | − | 0.173418i | −0.996234 | − | 0.0867090i | \(-0.972365\pi\) | ||
0.996234 | − | 0.0867090i | \(-0.0276350\pi\) | |||||||
\(770\) | 2.41541e11 | − | 5.16991e11i | 0.687113 | − | 1.47069i | ||||
\(771\) | 2.30965e10 | 0.0653624 | ||||||||
\(772\) | 1.86761e11 | − | 3.23479e11i | 0.525795 | − | 0.910704i | ||||
\(773\) | 2.88121e11 | − | 1.66347e11i | 0.806970 | − | 0.465904i | −0.0389326 | − | 0.999242i | \(-0.512396\pi\) |
0.845902 | + | 0.533338i | \(0.179062\pi\) | |||||||
\(774\) | 5.48682e10 | + | 9.50345e10i | 0.152882 | + | 0.264800i | ||||
\(775\) | 4.66437e9 | + | 2.69298e9i | 0.0129296 | + | 0.00746493i | ||||
\(776\) | 2.54897e11i | 0.702940i | ||||||||
\(777\) | −5.57743e10 | + | 4.83818e9i | −0.153021 | + | 0.0132739i | ||||
\(778\) | 1.96320e11 | 0.535855 | ||||||||
\(779\) | −6.25042e10 | + | 1.08261e11i | −0.169730 | + | 0.293982i | ||||
\(780\) | 8.31805e10 | − | 4.80243e10i | 0.224721 | − | 0.129743i | ||||
\(781\) | 5.67762e10 | + | 9.83392e10i | 0.152603 | + | 0.264316i | ||||
\(782\) | −1.97835e11 | − | 1.14220e11i | −0.529026 | − | 0.305433i | ||||
\(783\) | 3.49714e9i | 0.00930392i | ||||||||
\(784\) | −3.03057e10 | + | 8.28837e10i | −0.0802158 | + | 0.219384i | ||||
\(785\) | −3.89556e11 | −1.02587 | ||||||||
\(786\) | 8.36499e9 | − | 1.44886e10i | 0.0219167 | − | 0.0379608i | ||||
\(787\) | 4.90034e11 | − | 2.82921e11i | 1.27740 | − | 0.737507i | 0.301031 | − | 0.953614i | \(-0.402669\pi\) |
0.976370 | + | 0.216107i | \(0.0693360\pi\) | |||||||
\(788\) | −3.77235e11 | − | 6.53391e11i | −0.978380 | − | 1.69460i | ||||
\(789\) | −5.10951e10 | − | 2.94997e10i | −0.131847 | − | 0.0761220i | ||||
\(790\) | 2.31157e11i | 0.593470i | ||||||||
\(791\) | 1.23171e10 | + | 1.41990e11i | 0.0314631 | + | 0.362704i | ||||
\(792\) | 3.22409e11 | 0.819421 | ||||||||
\(793\) | −5.42287e11 | + | 9.39269e11i | −1.37131 | + | 2.37518i | ||||
\(794\) | −1.04076e12 | + | 6.00882e11i | −2.61859 | + | 1.51184i | ||||
\(795\) | 1.30209e9 | + | 2.25529e9i | 0.00325967 | + | 0.00564591i | ||||
\(796\) | −2.93652e11 | − | 1.69540e11i | −0.731443 | − | 0.422299i | ||||
\(797\) | − | 3.70661e11i | − | 0.918637i | −0.888272 | − | 0.459318i | \(-0.848094\pi\) | ||
0.888272 | − | 0.459318i | \(-0.151906\pi\) | |||||||
\(798\) | 5.77499e10 | + | 2.69811e10i | 0.142410 | + | 0.0665346i | ||||
\(799\) | 4.06165e10 | 0.0996588 | ||||||||
\(800\) | 2.58329e9 | − | 4.47439e9i | 0.00630685 | − | 0.0109238i | ||||
\(801\) | −2.22905e11 | + | 1.28694e11i | −0.541490 | + | 0.312629i | ||||
\(802\) | 5.79756e11 | + | 1.00417e12i | 1.40135 | + | 2.42721i | ||||
\(803\) | −1.28944e11 | − | 7.44460e10i | −0.310127 | − | 0.179052i | ||||
\(804\) | 3.82715e10i | 0.0915906i | ||||||||
\(805\) | 1.85614e11 | + | 2.65500e11i | 0.442005 | + | 0.632240i | ||||
\(806\) | 1.46776e12 | 3.47789 | ||||||||
\(807\) | 4.01304e9 | − | 6.95078e9i | 0.00946191 | − | 0.0163885i | ||||
\(808\) | 2.99838e11 | − | 1.73112e11i | 0.703463 | − | 0.406145i | ||||
\(809\) | −1.32333e11 | − | 2.29208e11i | −0.308941 | − | 0.535101i | 0.669190 | − | 0.743091i | \(-0.266641\pi\) |
−0.978131 | + | 0.207990i | \(0.933308\pi\) | |||||||
\(810\) | −5.66177e11 | − | 3.26882e11i | −1.31526 | − | 0.759366i | ||||
\(811\) | − | 1.76431e11i | − | 0.407841i | −0.978987 | − | 0.203920i | \(-0.934632\pi\) | ||
0.978987 | − | 0.203920i | \(-0.0653683\pi\) | |||||||
\(812\) | −2.29608e10 | + | 1.60521e10i | −0.0528157 | + | 0.0369240i | ||||
\(813\) | 5.45823e10 | 0.124937 | ||||||||
\(814\) | 5.02410e11 | − | 8.70200e11i | 1.14436 | − | 1.98208i | ||||
\(815\) | −6.82317e10 | + | 3.93936e10i | −0.154652 | + | 0.0892884i | ||||
\(816\) | 2.82058e9 | + | 4.88539e9i | 0.00636177 | + | 0.0110189i | ||||
\(817\) | −6.83248e10 | − | 3.94473e10i | −0.153352 | − | 0.0885379i | ||||
\(818\) | 7.54907e11i | 1.68609i | ||||||||
\(819\) | 2.97173e11 | − | 6.36065e11i | 0.660501 | − | 1.41373i | ||||
\(820\) | −2.54063e11 | −0.561936 | ||||||||
\(821\) | 8.49351e10 | − | 1.47112e11i | 0.186945 | − | 0.323799i | −0.757285 | − | 0.653085i | \(-0.773475\pi\) |
0.944230 | + | 0.329286i | \(0.106808\pi\) | |||||||
\(822\) | −8.28839e10 | + | 4.78530e10i | −0.181544 | + | 0.104815i | ||||
\(823\) | 9.69356e10 | + | 1.67897e11i | 0.211292 | + | 0.365969i | 0.952119 | − | 0.305727i | \(-0.0988994\pi\) |
−0.740827 | + | 0.671696i | \(0.765566\pi\) | |||||||
\(824\) | 1.29193e11 | + | 7.45895e10i | 0.280239 | + | 0.161796i | ||||
\(825\) | − | 5.61435e8i | − | 0.00121195i | ||||||
\(826\) | 1.13453e12 | − | 9.84153e10i | 2.43722 | − | 0.211418i | ||||
\(827\) | −1.78227e11 | −0.381023 | −0.190511 | − | 0.981685i | \(-0.561015\pi\) | ||||
−0.190511 | + | 0.981685i | \(0.561015\pi\) | |||||||
\(828\) | −2.71605e11 | + | 4.70434e11i | −0.577852 | + | 1.00087i | ||||
\(829\) | −4.41059e11 | + | 2.54646e11i | −0.933854 | + | 0.539161i | −0.888028 | − | 0.459789i | \(-0.847925\pi\) |
−0.0458255 | + | 0.998949i | \(0.514592\pi\) | |||||||
\(830\) | 3.01412e10 | + | 5.22060e10i | 0.0635108 | + | 0.110004i | ||||
\(831\) | −3.21291e10 | − | 1.85497e10i | −0.0673743 | − | 0.0388986i | ||||
\(832\) | − | 1.23120e12i | − | 2.56942i | ||||||
\(833\) | −1.83654e11 | + | 1.53643e11i | −0.381435 | + | 0.319105i | ||||
\(834\) | −1.40187e11 | −0.289764 | ||||||||
\(835\) | 3.68763e11 | − | 6.38716e11i | 0.758580 | − | 1.31390i | ||||
\(836\) | −5.95766e11 | + | 3.43965e11i | −1.21969 | + | 0.704190i | ||||
\(837\) | 7.42967e10 | + | 1.28686e11i | 0.151380 | + | 0.262197i | ||||
\(838\) | −1.88570e11 | − | 1.08871e11i | −0.382382 | − | 0.220768i | ||||
\(839\) | 6.45788e11i | 1.30329i | 0.758522 | + | 0.651647i | \(0.225922\pi\) | ||||
−0.758522 | + | 0.651647i | \(0.774078\pi\) | |||||||
\(840\) | 3.77231e9 | + | 4.34870e10i | 0.00757688 | + | 0.0873458i | ||||
\(841\) | −4.99333e11 | −0.998174 | ||||||||
\(842\) | −2.08595e11 | + | 3.61297e11i | −0.415006 | + | 0.718812i | ||||
\(843\) | 3.91824e10 | − | 2.26220e10i | 0.0775856 | − | 0.0447941i | ||||
\(844\) | 2.24964e11 | + | 3.89649e11i | 0.443347 | + | 0.767899i | ||||
\(845\) | 6.56255e11 | + | 3.78889e11i | 1.28720 | + | 0.743165i | ||||
\(846\) | − | 1.60622e11i | − | 0.313561i | ||||||
\(847\) | −2.89030e10 | − | 1.35036e10i | −0.0561577 | − | 0.0262372i | ||||
\(848\) | 7.22868e9 | 0.0139790 | ||||||||
\(849\) | 2.16688e9 | − | 3.75315e9i | 0.00417065 | − | 0.00722379i | ||||
\(850\) | 3.82310e9 | − | 2.20727e9i | 0.00732385 | − | 0.00422843i | ||||
\(851\) | 2.85219e11 | + | 4.94014e11i | 0.543827 | + | 0.941936i | ||||
\(852\) | −2.23253e10 | − | 1.28895e10i | −0.0423681 | − | 0.0244613i | ||||
\(853\) | 3.25599e11i | 0.615017i | 0.951545 | + | 0.307509i | \(0.0994953\pi\) | ||||
−0.951545 | + | 0.307509i | \(0.900505\pi\) | |||||||
\(854\) | −8.38165e11 | − | 1.19890e12i | −1.57579 | − | 2.25400i | ||||
\(855\) | 4.75870e11 | 0.890480 | ||||||||
\(856\) | −2.37296e11 | + | 4.11009e11i | −0.441973 | + | 0.765520i | ||||
\(857\) | 1.41189e11 | − | 8.15156e10i | 0.261745 | − | 0.151118i | −0.363385 | − | 0.931639i | \(-0.618379\pi\) |
0.625130 | + | 0.780520i | \(0.285046\pi\) | |||||||
\(858\) | −7.65002e10 | − | 1.32502e11i | −0.141161 | − | 0.244497i | ||||
\(859\) | 6.01185e11 | + | 3.47095e11i | 1.10417 | + | 0.637493i | 0.937313 | − | 0.348489i | \(-0.113305\pi\) |
0.166857 | + | 0.985981i | \(0.446638\pi\) | |||||||
\(860\) | − | 1.60343e11i | − | 0.293127i | ||||||
\(861\) | 1.84802e10 | − | 1.29197e10i | 0.0336274 | − | 0.0235092i | ||||
\(862\) | −1.45828e12 | −2.64127 | ||||||||
\(863\) | 5.40314e11 | − | 9.35851e11i | 0.974099 | − | 1.68719i | 0.291221 | − | 0.956656i | \(-0.405939\pi\) |
0.682878 | − | 0.730533i | \(-0.260728\pi\) | |||||||
\(864\) | 1.23444e11 | − | 7.12705e10i | 0.221521 | − | 0.127895i | ||||
\(865\) | −3.39547e11 | − | 5.88113e11i | −0.606507 | − | 1.05050i | ||||
\(866\) | −3.41800e11 | − | 1.97338e11i | −0.607715 | − | 0.350864i | ||||
\(867\) | − | 4.65813e10i | − | 0.0824394i | ||||||
\(868\) | −5.03872e11 | + | 1.07848e12i | −0.887649 | + | 1.89991i | ||||
\(869\) | 2.21413e11 | 0.388260 | ||||||||
\(870\) | 2.11169e9 | − | 3.65755e9i | 0.00368598 | − | 0.00638431i | ||||
\(871\) | −4.36475e11 | + | 2.51999e11i | −0.758380 | + | 0.437851i | ||||
\(872\) | 2.27412e10 | + | 3.93889e10i | 0.0393322 | + | 0.0681253i | ||||
\(873\) | −4.34085e11 | − | 2.50619e11i | −0.747339 | − | 0.431477i | ||||
\(874\) | − | 6.49489e11i | − | 1.11308i | ||||||
\(875\) | −5.87082e11 | + | 5.09268e10i | −1.00154 | + | 0.0868789i | ||||
\(876\) | 3.38020e10 | 0.0574018 | ||||||||
\(877\) | −1.90114e11 | + | 3.29287e11i | −0.321378 | + | 0.556642i | −0.980773 | − | 0.195154i | \(-0.937479\pi\) |
0.659395 | + | 0.751797i | \(0.270813\pi\) | |||||||
\(878\) | 1.42899e12 | − | 8.25029e11i | 2.40465 | − | 1.38833i | ||||
\(879\) | −1.84562e10 | − | 3.19671e10i | −0.0309162 | − | 0.0535485i | ||||
\(880\) | 1.24345e11 | + | 7.17907e10i | 0.207347 | + | 0.119712i | ||||
\(881\) | 2.45797e11i | 0.408012i | 0.978970 | + | 0.204006i | \(0.0653962\pi\) | ||||
−0.978970 | + | 0.204006i | \(0.934604\pi\) | |||||||
\(882\) | 6.07596e11 | + | 7.26277e11i | 1.00402 | + | 1.20013i | ||||
\(883\) | −1.31323e11 | −0.216022 | −0.108011 | − | 0.994150i | \(-0.534448\pi\) | ||||
−0.108011 | + | 0.994150i | \(0.534448\pi\) | |||||||
\(884\) | 3.61694e11 | − | 6.26472e11i | 0.592287 | − | 1.02587i | ||||
\(885\) | −8.93980e10 | + | 5.16140e10i | −0.145732 | + | 0.0841384i | ||||
\(886\) | −5.21814e11 | − | 9.03809e11i | −0.846801 | − | 1.46670i | ||||
\(887\) | 3.71258e11 | + | 2.14346e11i | 0.599765 | + | 0.346275i | 0.768949 | − | 0.639310i | \(-0.220780\pi\) |
−0.169184 | + | 0.985584i | \(0.554113\pi\) | |||||||
\(888\) | 7.68634e10i | 0.123614i | ||||||||
\(889\) | −2.21668e10 | − | 2.55537e11i | −0.0354891 | − | 0.409117i | ||||
\(890\) | 6.25455e11 | 0.996864 | ||||||||
\(891\) | −3.13103e11 | + | 5.42310e11i | −0.496793 | + | 0.860471i | ||||
\(892\) | 8.01503e11 | − | 4.62748e11i | 1.26604 | − | 0.730946i | ||||
\(893\) | 5.77392e10 | + | 1.00007e11i | 0.0907957 | + | 0.157263i | ||||
\(894\) | 1.25526e11 | + | 7.24723e10i | 0.196509 | + | 0.113455i | ||||
\(895\) | − | 4.58309e11i | − | 0.714276i | ||||||
\(896\) | 8.18533e11 | + | 3.82423e11i | 1.27000 | + | 0.593352i | ||||
\(897\) | 8.68586e10 | 0.134166 | ||||||||
\(898\) | −7.74835e11 | + | 1.34205e12i | −1.19153 | + | 2.06378i | ||||
\(899\) | 3.36085e10 | − | 1.94039e10i | 0.0514530 | − | 0.0297064i | ||||
\(900\) | −5.24867e9 | − | 9.09097e9i | −0.00799981 | − | 0.0138561i | ||||
\(901\) | 1.69857e10 | + | 9.80669e9i | 0.0257741 | + | 0.0148807i | ||||
\(902\) | 4.04710e11i | 0.611389i | ||||||||
\(903\) | 8.15378e9 | + | 1.16631e10i | 0.0122633 | + | 0.0175413i | ||||
\(904\) | 1.95679e11 | 0.293002 | ||||||||
\(905\) | −1.30832e11 | + | 2.26607e11i | −0.195038 | + | 0.337815i | ||||
\(906\) | −9.61321e10 | + | 5.55019e10i | −0.142678 | + | 0.0823749i | ||||
\(907\) | 3.17559e11 | + | 5.50028e11i | 0.469240 | + | 0.812748i | 0.999382 | − | 0.0351615i | \(-0.0111946\pi\) |
−0.530142 | + | 0.847909i | \(0.677861\pi\) | |||||||
\(908\) | 1.06113e12 | + | 6.12643e11i | 1.56108 | + | 0.901289i | ||||
\(909\) | 6.80825e11i | 0.997194i | ||||||||
\(910\) | −1.39820e12 | + | 9.77495e11i | −2.03894 | + | 1.42544i | ||||
\(911\) | −5.96650e11 | −0.866255 | −0.433128 | − | 0.901333i | \(-0.642590\pi\) | ||||
−0.433128 | + | 0.901333i | \(0.642590\pi\) | |||||||
\(912\) | −8.01930e9 | + | 1.38898e10i | −0.0115920 | + | 0.0200779i | ||||
\(913\) | 5.00053e10 | − | 2.88706e10i | 0.0719669 | − | 0.0415501i | ||||
\(914\) | −5.94782e11 | − | 1.03019e12i | −0.852261 | − | 1.47616i | ||||
\(915\) | 1.14837e11 | + | 6.63011e10i | 0.163831 | + | 0.0945881i | ||||
\(916\) | − | 6.37574e11i | − | 0.905625i | ||||||
\(917\) | −7.56333e10 | + | 1.61884e11i | −0.106964 | + | 0.228943i | ||||
\(918\) | 1.21793e11 | 0.171495 | ||||||||
\(919\) | 5.78474e11 | − | 1.00195e12i | 0.811001 | − | 1.40470i | −0.101163 | − | 0.994870i | \(-0.532256\pi\) |
0.912164 | − | 0.409825i | \(-0.134410\pi\) | |||||||
\(920\) | 3.85181e11 | − | 2.22384e11i | 0.537667 | − | 0.310422i | ||||
\(921\) | −1.09762e10 | − | 1.90114e10i | −0.0152551 | − | 0.0264226i | ||||
\(922\) | 6.77286e11 | + | 3.91031e11i | 0.937234 | + | 0.541112i | ||||
\(923\) | − | 3.39485e11i | − | 0.467750i | ||||||
\(924\) | 1.23622e11 | − | 1.07237e10i | 0.169593 | − | 0.0147114i | ||||
\(925\) | −1.10235e10 | −0.0150575 | ||||||||
\(926\) | 2.51214e11 | − | 4.35115e11i | 0.341664 | − | 0.591780i | ||||
\(927\) | −2.54049e11 | + | 1.46675e11i | −0.344032 | + | 0.198627i | ||||
\(928\) | −1.86135e10 | − | 3.22396e10i | −0.0250979 | − | 0.0434708i | ||||
\(929\) | −6.43344e11 | − | 3.71435e11i | −0.863735 | − | 0.498678i | 0.00152617 | − | 0.999999i | \(-0.499514\pi\) |
−0.865261 | + | 0.501321i | \(0.832848\pi\) | |||||||
\(930\) | − | 1.79451e11i | − | 0.239892i | ||||||
\(931\) | −6.39382e11 | − | 2.33785e11i | −0.851063 | − | 0.311184i | ||||
\(932\) | −1.52063e12 | −2.01539 | ||||||||
\(933\) | −5.37822e10 | + | 9.31536e10i | −0.0709761 | + | 0.122934i | ||||
\(934\) | 7.49935e11 | − | 4.32975e11i | 0.985454 | − | 0.568952i | ||||
\(935\) | 1.94788e11 | + | 3.37382e11i | 0.254868 | + | 0.441444i | ||||
\(936\) | −8.34762e11 | − | 4.81950e11i | −1.08758 | − | 0.627912i | ||||
\(937\) | − | 8.05847e11i | − | 1.04543i | −0.852508 | − | 0.522714i | \(-0.824919\pi\) | ||
0.852508 | − | 0.522714i | \(-0.175081\pi\) | |||||||
\(938\) | −5.87470e10 | − | 6.77232e11i | −0.0758882 | − | 0.874835i | ||||
\(939\) | 3.17984e10 | 0.0409019 | ||||||||
\(940\) | −1.17347e11 | + | 2.03252e11i | −0.150301 | + | 0.260329i | ||||
\(941\) | 4.43828e11 | − | 2.56244e11i | 0.566052 | − | 0.326810i | −0.189519 | − | 0.981877i | \(-0.560693\pi\) |
0.755571 | + | 0.655067i | \(0.227360\pi\) | |||||||
\(942\) | −7.04390e10 | − | 1.22004e11i | −0.0894560 | − | 0.154942i | ||||
\(943\) | −1.98973e11 | − | 1.14877e11i | −0.251622 | − | 0.145274i | ||||
\(944\) | 2.86539e11i | 0.360825i | ||||||||
\(945\) | −1.56477e11 | − | 7.31071e10i | −0.196211 | − | 0.0916710i | ||||
\(946\) | −2.55418e11 | −0.318924 | ||||||||
\(947\) | 1.36535e11 | − | 2.36486e11i | 0.169764 | − | 0.294039i | −0.768573 | − | 0.639762i | \(-0.779033\pi\) |
0.938337 | + | 0.345723i | \(0.112366\pi\) | |||||||
\(948\) | −4.35315e10 | + | 2.51329e10i | −0.0538977 | + | 0.0311179i | ||||
\(949\) | 2.22570e11 | + | 3.85502e11i | 0.274411 | + | 0.475293i | ||||
\(950\) | 1.08696e10 | + | 6.27556e9i | 0.0133450 | + | 0.00770475i | ||||
\(951\) | 5.40388e10i | 0.0660669i | ||||||||
\(952\) | 1.88365e11 | + | 2.69436e11i | 0.229326 | + | 0.328026i | ||||
\(953\) | 2.86671e10 | 0.0347545 | 0.0173773 | − | 0.999849i | \(-0.494468\pi\) | ||||
0.0173773 | + | 0.999849i | \(0.494468\pi\) | |||||||
\(954\) | 3.87814e10 | − | 6.71714e10i | 0.0468199 | − | 0.0810944i | ||||
\(955\) | −7.74754e11 | + | 4.47304e11i | −0.931430 | + | 0.537761i | ||||
\(956\) | 8.08428e11 | + | 1.40024e12i | 0.967854 | + | 1.67637i | ||||
\(957\) | −3.50337e9 | − | 2.02267e9i | −0.00417675 | − | 0.00241145i | ||||
\(958\) | 1.34674e12i | 1.59890i | ||||||||
\(959\) | 8.37745e11 | − | 5.85675e11i | 0.990461 | − | 0.692440i | ||||
\(960\) | −1.50529e11 | −0.177229 | ||||||||
\(961\) | 3.98025e11 | − | 6.89400e11i | 0.466678 | − | 0.808310i | ||||
\(962\) | −2.60162e12 | + | 1.50205e12i | −3.03769 | + | 1.75381i | ||||
\(963\) | −4.66628e11 | − | 8.08223e11i | −0.542582 | − | 0.939779i | ||||
\(964\) | 2.32738e11 | + | 1.34371e11i | 0.269500 | + | 0.155596i | ||||
\(965\) | − | 6.01396e11i | − | 0.693508i | ||||||
\(966\) | −4.95888e10 | + | 1.06139e11i | −0.0569476 | + | 0.121890i | ||||
\(967\) | 1.44635e11 | 0.165413 | 0.0827063 | − | 0.996574i | \(-0.473644\pi\) | ||||
0.0827063 | + | 0.996574i | \(0.473644\pi\) | |||||||
\(968\) | −2.19000e10 | + | 3.79319e10i | −0.0249426 | + | 0.0432019i | ||||
\(969\) | −3.76869e10 | + | 2.17585e10i | −0.0427460 | + | 0.0246794i | ||||
\(970\) | 6.09004e11 | + | 1.05483e12i | 0.687912 | + | 1.19150i | ||||
\(971\) | 1.41217e12 | + | 8.15314e11i | 1.58858 | + | 0.917166i | 0.993542 | + | 0.113468i | \(0.0361959\pi\) |
0.595037 | + | 0.803698i | \(0.297137\pi\) | |||||||
\(972\) | − | 4.35292e11i | − | 0.487658i | ||||||
\(973\) | 1.49164e12 | − | 1.29393e11i | 1.66423 | − | 0.144365i | ||||
\(974\) | 9.70093e11 | 1.07790 | ||||||||
\(975\) | −8.39255e8 | + | 1.45363e9i | −0.000928701 | + | 0.00160856i | ||||
\(976\) | 3.18763e11 | − | 1.84038e11i | 0.351293 | − | 0.202819i | ||||
\(977\) | 4.04345e11 | + | 7.00346e11i | 0.443786 | + | 0.768661i | 0.997967 | − | 0.0637360i | \(-0.0203016\pi\) |
−0.554180 | + | 0.832397i | \(0.686968\pi\) | |||||||
\(978\) | −2.46751e10 | − | 1.42462e10i | −0.0269714 | − | 0.0155719i | ||||
\(979\) | − | 5.99089e11i | − | 0.652169i | ||||||
\(980\) | −2.38250e11 | − | 1.36293e12i | −0.258303 | − | 1.47765i | ||||
\(981\) | −8.94382e10 | −0.0965710 | ||||||||
\(982\) | −3.29344e11 | + | 5.70440e11i | −0.354163 | + | 0.613429i | ||||
\(983\) | −1.10300e12 | + | 6.36817e11i | −1.18130 | + | 0.682025i | −0.956315 | − | 0.292337i | \(-0.905567\pi\) |
−0.224987 | + | 0.974362i | \(0.572234\pi\) | |||||||
\(984\) | −1.54791e10 | − | 2.68105e10i | −0.0165107 | − | 0.0285973i | ||||
\(985\) | −1.05201e12 | − | 6.07375e11i | −1.11757 | − | 0.645227i | ||||
\(986\) | − | 3.18083e10i | − | 0.0336537i | ||||||
\(987\) | −1.80011e9 | − | 2.07516e10i | −0.00189684 | − | 0.0218667i | ||||
\(988\) | 2.05669e12 | 2.15845 | ||||||||
\(989\) | 7.25007e10 | − | 1.25575e11i | 0.0757804 | − | 0.131256i | ||||
\(990\) | 1.33421e12 | − | 7.70305e11i | 1.38894 | − | 0.801903i | ||||
\(991\) | 7.07366e10 | + | 1.22519e11i | 0.0733414 | + | 0.127031i | 0.900364 | − | 0.435138i | \(-0.143300\pi\) |
−0.827022 | + | 0.562169i | \(0.809967\pi\) | |||||||
\(992\) | −1.36986e12 | − | 7.90889e11i | −1.41459 | − | 0.816711i | ||||
\(993\) | 3.11522e10i | 0.0320399i | ||||||||
\(994\) | 4.14843e11 | + | 1.93817e11i | 0.424950 | + | 0.198539i | ||||
\(995\) | −5.45943e11 | −0.557000 | ||||||||
\(996\) | −6.55430e9 | + | 1.13524e10i | −0.00666023 | + | 0.0115359i | ||||
\(997\) | 2.38785e11 | − | 1.37863e11i | 0.241672 | − | 0.139530i | −0.374273 | − | 0.927319i | \(-0.622108\pi\) |
0.615945 | + | 0.787789i | \(0.288774\pi\) | |||||||
\(998\) | −9.57469e11 | − | 1.65839e12i | −0.965168 | − | 1.67172i | ||||
\(999\) | −2.63383e11 | − | 1.52064e11i | −0.264439 | − | 0.152674i |
(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 | 7.9.d.a.5.1 | yes | 8 | |
3.2 | odd | 2 | 63.9.m.b.19.4 | 8 | |||
4.3 | odd | 2 | 112.9.s.a.33.3 | 8 | |||
7.2 | even | 3 | 49.9.b.a.48.7 | 8 | |||
7.3 | odd | 6 | inner | 7.9.d.a.3.1 | ✓ | 8 | |
7.4 | even | 3 | 49.9.d.c.31.1 | 8 | |||
7.5 | odd | 6 | 49.9.b.a.48.8 | 8 | |||
7.6 | odd | 2 | 49.9.d.c.19.1 | 8 | |||
21.17 | even | 6 | 63.9.m.b.10.4 | 8 | |||
28.3 | even | 6 | 112.9.s.a.17.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.9.d.a.3.1 | ✓ | 8 | 7.3 | odd | 6 | inner | |
7.9.d.a.5.1 | yes | 8 | 1.1 | even | 1 | trivial | |
49.9.b.a.48.7 | 8 | 7.2 | even | 3 | |||
49.9.b.a.48.8 | 8 | 7.5 | odd | 6 | |||
49.9.d.c.19.1 | 8 | 7.6 | odd | 2 | |||
49.9.d.c.31.1 | 8 | 7.4 | even | 3 | |||
63.9.m.b.10.4 | 8 | 21.17 | even | 6 | |||
63.9.m.b.19.4 | 8 | 3.2 | odd | 2 | |||
112.9.s.a.17.3 | 8 | 28.3 | even | 6 | |||
112.9.s.a.33.3 | 8 | 4.3 | odd | 2 |