Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,10,Mod(3,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.3");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.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: | \(10.3007167233\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.20 | ||
Character | \(\chi\) | \(=\) | 20.3 |
Dual form | 20.10.e.b.7.20 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 20.3139 | + | 9.96719i | 0.897757 | + | 0.440492i | ||||
\(3\) | −181.251 | + | 181.251i | −1.29192 | + | 1.29192i | −0.358321 | + | 0.933599i | \(0.616651\pi\) |
−0.933599 | + | 0.358321i | \(0.883349\pi\) | |||||||
\(4\) | 313.310 | + | 404.945i | 0.611934 | + | 0.790909i | ||||
\(5\) | −997.734 | − | 978.597i | −0.713920 | − | 0.700227i | ||||
\(6\) | −5488.49 | + | 1875.36i | −1.72891 | + | 0.590749i | ||||
\(7\) | 1096.38 | + | 1096.38i | 0.172592 | + | 0.172592i | 0.788117 | − | 0.615525i | \(-0.211056\pi\) |
−0.615525 | + | 0.788117i | \(0.711056\pi\) | |||||||
\(8\) | 2328.39 | + | 11348.8i | 0.200979 | + | 0.979596i | ||||
\(9\) | − | 46021.0i | − | 2.33811i | ||||||
\(10\) | −10514.0 | − | 29823.7i | −0.332483 | − | 0.943109i | ||||
\(11\) | − | 24135.6i | − | 0.497041i | −0.968627 | − | 0.248520i | \(-0.920056\pi\) | ||
0.968627 | − | 0.248520i | \(-0.0799443\pi\) | |||||||
\(12\) | −130185. | − | 16609.0i | −1.81236 | − | 0.231221i | ||||
\(13\) | −34010.0 | − | 34010.0i | −0.330264 | − | 0.330264i | 0.522422 | − | 0.852687i | \(-0.325028\pi\) |
−0.852687 | + | 0.522422i | \(0.825028\pi\) | |||||||
\(14\) | 11344.0 | + | 33199.6i | 0.0789202 | + | 0.230971i | ||||
\(15\) | 358212. | − | 3468.70i | 1.82696 | − | 0.0176912i | ||||
\(16\) | −65817.5 | + | 253747.i | −0.251074 | + | 0.967968i | ||||
\(17\) | −348629. | + | 348629.i | −1.01238 | + | 1.01238i | −0.0124561 | + | 0.999922i | \(0.503965\pi\) |
−0.999922 | + | 0.0124561i | \(0.996035\pi\) | |||||||
\(18\) | 458701. | − | 934867.i | 1.02992 | − | 2.09905i | ||||
\(19\) | −764214. | −1.34531 | −0.672657 | − | 0.739954i | \(-0.734847\pi\) | ||||
−0.672657 | + | 0.739954i | \(0.734847\pi\) | |||||||
\(20\) | 83677.9 | − | 710632.i | 0.116943 | − | 0.993139i | ||||
\(21\) | −397441. | −0.445950 | ||||||||
\(22\) | 240565. | − | 490289.i | 0.218942 | − | 0.446221i | ||||
\(23\) | −27449.8 | + | 27449.8i | −0.0204533 | + | 0.0204533i | −0.717259 | − | 0.696806i | \(-0.754604\pi\) |
0.696806 | + | 0.717259i | \(0.254604\pi\) | |||||||
\(24\) | −2.47902e6 | − | 1.63497e6i | −1.52521 | − | 1.00591i | ||||
\(25\) | 37822.1 | + | 1.95276e6i | 0.0193649 | + | 0.999812i | ||||
\(26\) | −351892. | − | 1.02986e6i | −0.151018 | − | 0.441976i | ||||
\(27\) | 4.77380e6 | + | 4.77380e6i | 1.72873 | + | 1.72873i | ||||
\(28\) | −100467. | + | 787482.i | −0.0308896 | + | 0.242119i | ||||
\(29\) | − | 5.01486e6i | − | 1.31664i | −0.752737 | − | 0.658321i | \(-0.771267\pi\) | ||
0.752737 | − | 0.658321i | \(-0.228733\pi\) | |||||||
\(30\) | 7.31127e6 | + | 3.49991e6i | 1.64796 | + | 0.788880i | ||||
\(31\) | 7.76401e6i | 1.50993i | 0.655762 | + | 0.754967i | \(0.272347\pi\) | ||||
−0.655762 | + | 0.754967i | \(0.727653\pi\) | |||||||
\(32\) | −3.86616e6 | + | 4.49858e6i | −0.651785 | + | 0.758404i | ||||
\(33\) | 4.37462e6 | + | 4.37462e6i | 0.642136 | + | 0.642136i | ||||
\(34\) | −1.05569e7 | + | 3.60716e6i | −1.35481 | + | 0.462925i | ||||
\(35\) | −20982.0 | − | 2.16681e6i | −0.00236342 | − | 0.244070i | ||||
\(36\) | 1.86360e7 | − | 1.44189e7i | 1.84923 | − | 1.43077i | ||||
\(37\) | 3.31907e6 | − | 3.31907e6i | 0.291144 | − | 0.291144i | −0.546388 | − | 0.837532i | \(-0.683998\pi\) |
0.837532 | + | 0.546388i | \(0.183998\pi\) | |||||||
\(38\) | −1.55242e7 | − | 7.61707e6i | −1.20777 | − | 0.592600i | ||||
\(39\) | 1.23287e7 | 0.853350 | ||||||||
\(40\) | 8.78283e6 | − | 1.36017e7i | 0.542456 | − | 0.840084i | ||||
\(41\) | −9.42386e6 | −0.520837 | −0.260418 | − | 0.965496i | \(-0.583860\pi\) | ||||
−0.260418 | + | 0.965496i | \(0.583860\pi\) | |||||||
\(42\) | −8.07358e6 | − | 3.96137e6i | −0.400354 | − | 0.196437i | ||||
\(43\) | −1.86665e7 | + | 1.86665e7i | −0.832634 | + | 0.832634i | −0.987876 | − | 0.155242i | \(-0.950384\pi\) |
0.155242 | + | 0.987876i | \(0.450384\pi\) | |||||||
\(44\) | 9.77362e6 | − | 7.56194e6i | 0.393114 | − | 0.304156i | ||||
\(45\) | −4.50360e7 | + | 4.59168e7i | −1.63721 | + | 1.66923i | ||||
\(46\) | −831210. | + | 284015.i | −0.0273716 | + | 0.00935258i | ||||
\(47\) | 1.31878e7 | + | 1.31878e7i | 0.394213 | + | 0.394213i | 0.876186 | − | 0.481973i | \(-0.160080\pi\) |
−0.481973 | + | 0.876186i | \(0.660080\pi\) | |||||||
\(48\) | −3.40625e7 | − | 5.79215e7i | −0.926170 | − | 1.57490i | ||||
\(49\) | − | 3.79495e7i | − | 0.940424i | ||||||
\(50\) | −1.86952e7 | + | 4.00452e7i | −0.423024 | + | 0.906118i | ||||
\(51\) | − | 1.26379e8i | − | 2.61582i | ||||||
\(52\) | 3.11651e6 | − | 2.44279e7i | 0.0591091 | − | 0.463309i | ||||
\(53\) | 1.97306e7 | + | 1.97306e7i | 0.343478 | + | 0.343478i | 0.857673 | − | 0.514195i | \(-0.171909\pi\) |
−0.514195 | + | 0.857673i | \(0.671909\pi\) | |||||||
\(54\) | 4.93932e7 | + | 1.44556e8i | 0.790488 | + | 2.31347i | ||||
\(55\) | −2.36191e7 | + | 2.40810e7i | −0.348041 | + | 0.354847i | ||||
\(56\) | −9.88986e6 | + | 1.49955e7i | −0.134383 | + | 0.203758i | ||||
\(57\) | 1.38515e8 | − | 1.38515e8i | 1.73804 | − | 1.73804i | ||||
\(58\) | 4.99841e7 | − | 1.01871e8i | 0.579970 | − | 1.18202i | ||||
\(59\) | −6.01499e7 | −0.646250 | −0.323125 | − | 0.946356i | \(-0.604733\pi\) | ||||
−0.323125 | + | 0.946356i | \(0.604733\pi\) | |||||||
\(60\) | 1.13636e8 | + | 1.43970e8i | 1.13197 | + | 1.43414i | ||||
\(61\) | −4.79920e7 | −0.443797 | −0.221899 | − | 0.975070i | \(-0.571225\pi\) | ||||
−0.221899 | + | 0.975070i | \(0.571225\pi\) | |||||||
\(62\) | −7.73853e7 | + | 1.57717e8i | −0.665114 | + | 1.35555i | ||||
\(63\) | 5.04566e7 | − | 5.04566e7i | 0.403539 | − | 0.403539i | ||||
\(64\) | −1.23375e8 | + | 5.28490e7i | −0.919215 | + | 0.393756i | ||||
\(65\) | 650868. | + | 6.72151e7i | 0.00452254 | + | 0.467043i | ||||
\(66\) | 4.52629e7 | + | 1.32468e8i | 0.293626 | + | 0.859338i | ||||
\(67\) | −3.56673e7 | − | 3.56673e7i | −0.216239 | − | 0.216239i | 0.590673 | − | 0.806911i | \(-0.298862\pi\) |
−0.806911 | + | 0.590673i | \(0.798862\pi\) | |||||||
\(68\) | −2.50404e8 | − | 3.19466e7i | −1.42021 | − | 0.181190i | ||||
\(69\) | − | 9.95061e6i | − | 0.0528481i | ||||||
\(70\) | 2.11708e7 | − | 4.42256e7i | 0.105389 | − | 0.220157i | ||||
\(71\) | 2.39980e8i | 1.12076i | 0.828237 | + | 0.560379i | \(0.189344\pi\) | ||||
−0.828237 | + | 0.560379i | \(0.810656\pi\) | |||||||
\(72\) | 5.22286e8 | − | 1.07155e8i | 2.29040 | − | 0.469911i | ||||
\(73\) | 2.27428e8 | + | 2.27428e8i | 0.937326 | + | 0.937326i | 0.998149 | − | 0.0608227i | \(-0.0193724\pi\) |
−0.0608227 | + | 0.998149i | \(0.519372\pi\) | |||||||
\(74\) | 1.00505e8 | − | 3.43415e7i | 0.389623 | − | 0.133130i | ||||
\(75\) | −3.60795e8 | − | 3.47085e8i | −1.31669 | − | 1.26666i | ||||
\(76\) | −2.39436e8 | − | 3.09465e8i | −0.823244 | − | 1.06402i | ||||
\(77\) | 2.64619e7 | − | 2.64619e7i | 0.0857852 | − | 0.0857852i | ||||
\(78\) | 2.50445e8 | + | 1.22883e8i | 0.766101 | + | 0.375894i | ||||
\(79\) | −1.40201e8 | −0.404976 | −0.202488 | − | 0.979285i | \(-0.564903\pi\) | ||||
−0.202488 | + | 0.979285i | \(0.564903\pi\) | |||||||
\(80\) | 3.13984e8 | − | 1.88763e8i | 0.857044 | − | 0.515244i | ||||
\(81\) | −8.24684e8 | −2.12865 | ||||||||
\(82\) | −1.91435e8 | − | 9.39294e7i | −0.467584 | − | 0.229424i | ||||
\(83\) | 3.59910e8 | − | 3.59910e8i | 0.832419 | − | 0.832419i | −0.155428 | − | 0.987847i | \(-0.549676\pi\) |
0.987847 | + | 0.155428i | \(0.0496756\pi\) | |||||||
\(84\) | −1.24522e8 | − | 1.60942e8i | −0.272892 | − | 0.352706i | ||||
\(85\) | 6.89006e8 | − | 6.67189e6i | 1.43165 | − | 0.0138632i | ||||
\(86\) | −5.65242e8 | + | 1.93137e8i | −1.11427 | + | 0.380734i | ||||
\(87\) | 9.08950e8 | + | 9.08950e8i | 1.70100 | + | 1.70100i | ||||
\(88\) | 2.73912e8 | − | 5.61971e7i | 0.486899 | − | 0.0998947i | ||||
\(89\) | 2.91347e8i | 0.492215i | 0.969242 | + | 0.246108i | \(0.0791517\pi\) | ||||
−0.969242 | + | 0.246108i | \(0.920848\pi\) | |||||||
\(90\) | −1.37252e9 | + | 4.83866e8i | −2.20509 | + | 0.777382i | ||||
\(91\) | − | 7.45759e7i | − | 0.114002i | ||||||
\(92\) | −1.97160e7 | − | 2.51536e6i | −0.0286928 | − | 0.00366063i | ||||
\(93\) | −1.40724e9 | − | 1.40724e9i | −1.95071 | − | 1.95071i | ||||
\(94\) | 1.36450e8 | + | 3.99341e8i | 0.180260 | + | 0.527555i | ||||
\(95\) | 7.62483e8 | + | 7.47858e8i | 0.960448 | + | 0.942025i | ||||
\(96\) | −1.14628e8 | − | 1.51612e9i | −0.137743 | − | 1.82185i | ||||
\(97\) | −1.13368e8 | + | 1.13368e8i | −0.130022 | + | 0.130022i | −0.769123 | − | 0.639101i | \(-0.779307\pi\) |
0.639101 | + | 0.769123i | \(0.279307\pi\) | |||||||
\(98\) | 3.78250e8 | − | 7.70903e8i | 0.414249 | − | 0.844272i | ||||
\(99\) | −1.11075e9 | −1.16214 | ||||||||
\(100\) | −7.78911e8 | + | 6.27135e8i | −0.778911 | + | 0.627135i | ||||
\(101\) | 1.21402e9 | 1.16086 | 0.580431 | − | 0.814309i | \(-0.302884\pi\) | ||||
0.580431 | + | 0.814309i | \(0.302884\pi\) | |||||||
\(102\) | 1.25964e9 | − | 2.56725e9i | 1.15225 | − | 2.34837i | ||||
\(103\) | −6.91006e7 | + | 6.91006e7i | −0.0604943 | + | 0.0604943i | −0.736707 | − | 0.676212i | \(-0.763620\pi\) |
0.676212 | + | 0.736707i | \(0.263620\pi\) | |||||||
\(104\) | 3.06786e8 | − | 4.65163e8i | 0.257149 | − | 0.389902i | ||||
\(105\) | 3.96541e8 | + | 3.88935e8i | 0.318373 | + | 0.312266i | ||||
\(106\) | 2.04147e8 | + | 5.97465e8i | 0.157060 | + | 0.459659i | ||||
\(107\) | −1.43181e8 | − | 1.43181e8i | −0.105599 | − | 0.105599i | 0.652333 | − | 0.757932i | \(-0.273790\pi\) |
−0.757932 | + | 0.652333i | \(0.773790\pi\) | |||||||
\(108\) | −4.37448e8 | + | 3.42881e9i | −0.309400 | + | 2.42514i | ||||
\(109\) | 2.39868e9i | 1.62762i | 0.581133 | + | 0.813809i | \(0.302610\pi\) | ||||
−0.581133 | + | 0.813809i | \(0.697390\pi\) | |||||||
\(110\) | −7.19815e8 | + | 2.53763e8i | −0.468764 | + | 0.165257i | ||||
\(111\) | 1.20317e9i | 0.752270i | ||||||||
\(112\) | −3.50365e8 | + | 2.06042e8i | −0.210397 | + | 0.123730i | ||||
\(113\) | 9.12342e7 | + | 9.12342e7i | 0.0526386 | + | 0.0526386i | 0.732936 | − | 0.680297i | \(-0.238149\pi\) |
−0.680297 | + | 0.732936i | \(0.738149\pi\) | |||||||
\(114\) | 4.19438e9 | − | 1.43317e9i | 2.32593 | − | 0.794744i | ||||
\(115\) | 5.42498e7 | − | 525321.i | 0.0289240 | − | 0.000280082i | ||||
\(116\) | 2.03074e9 | − | 1.57121e9i | 1.04134 | − | 0.805698i | ||||
\(117\) | −1.56518e9 | + | 1.56518e9i | −0.772195 | + | 0.772195i | ||||
\(118\) | −1.22188e9 | − | 5.99525e8i | −0.580175 | − | 0.284668i | ||||
\(119\) | −7.64460e8 | −0.349457 | ||||||||
\(120\) | 8.73424e8 | + | 4.05722e9i | 0.384511 | + | 1.78613i | ||||
\(121\) | 1.77542e9 | 0.752951 | ||||||||
\(122\) | −9.74905e8 | − | 4.78345e8i | −0.398422 | − | 0.195489i | ||||
\(123\) | 1.70809e9 | − | 1.70809e9i | 0.672879 | − | 0.672879i | ||||
\(124\) | −3.14400e9 | + | 2.43254e9i | −1.19422 | + | 0.923980i | ||||
\(125\) | 1.87323e9 | − | 1.98535e9i | 0.686270 | − | 0.727346i | ||||
\(126\) | 1.52788e9 | − | 5.22061e8i | 0.540036 | − | 0.184524i | ||||
\(127\) | −1.18688e9 | − | 1.18688e9i | −0.404848 | − | 0.404848i | 0.475090 | − | 0.879937i | \(-0.342416\pi\) |
−0.879937 | + | 0.475090i | \(0.842416\pi\) | |||||||
\(128\) | −3.03298e9 | − | 1.56131e8i | −0.998678 | − | 0.0514095i | ||||
\(129\) | − | 6.76665e9i | − | 2.15139i | ||||||
\(130\) | −6.56724e8 | + | 1.37189e9i | −0.201668 | + | 0.421283i | ||||
\(131\) | 2.35144e8i | 0.0697611i | 0.999391 | + | 0.0348805i | \(0.0111051\pi\) | ||||
−0.999391 | + | 0.0348805i | \(0.988895\pi\) | |||||||
\(132\) | −4.00869e8 | + | 3.14209e9i | −0.114926 | + | 0.900816i | ||||
\(133\) | −8.37870e8 | − | 8.37870e8i | −0.232191 | − | 0.232191i | ||||
\(134\) | −3.69040e8 | − | 1.08004e9i | −0.0988784 | − | 0.289381i | ||||
\(135\) | −9.13588e7 | − | 9.43461e9i | −0.0236727 | − | 2.44468i | ||||
\(136\) | −4.76828e9 | − | 3.14479e9i | −1.19519 | − | 0.788255i | ||||
\(137\) | 9.71772e8 | − | 9.71772e8i | 0.235679 | − | 0.235679i | −0.579379 | − | 0.815058i | \(-0.696705\pi\) |
0.815058 | + | 0.579379i | \(0.196705\pi\) | |||||||
\(138\) | 9.91797e7 | − | 2.02136e8i | 0.0232791 | − | 0.0474447i | ||||
\(139\) | −7.42286e9 | −1.68657 | −0.843286 | − | 0.537466i | \(-0.819382\pi\) | ||||
−0.843286 | + | 0.537466i | \(0.819382\pi\) | |||||||
\(140\) | 8.70867e8 | − | 6.87381e8i | 0.191591 | − | 0.151224i | ||||
\(141\) | −4.78060e9 | −1.01858 | ||||||||
\(142\) | −2.39192e9 | + | 4.87492e9i | −0.493684 | + | 1.00617i | ||||
\(143\) | −8.20854e8 | + | 8.20854e8i | −0.164155 | + | 0.164155i | ||||
\(144\) | 1.16777e10 | + | 3.02899e9i | 2.26322 | + | 0.587038i | ||||
\(145\) | −4.90753e9 | + | 5.00350e9i | −0.921948 | + | 0.939978i | ||||
\(146\) | 2.35313e9 | + | 6.88676e9i | 0.428606 | + | 1.25437i | ||||
\(147\) | 6.87840e9 | + | 6.87840e9i | 1.21495 | + | 1.21495i | ||||
\(148\) | 2.38394e9 | + | 3.04143e8i | 0.408430 | + | 0.0521075i | ||||
\(149\) | − | 5.14844e9i | − | 0.855731i | −0.903842 | − | 0.427865i | \(-0.859266\pi\) | ||
0.903842 | − | 0.427865i | \(-0.140734\pi\) | |||||||
\(150\) | −3.86970e9 | − | 1.06468e10i | −0.624119 | − | 1.71715i | ||||
\(151\) | 1.40337e9i | 0.219672i | 0.993950 | + | 0.109836i | \(0.0350326\pi\) | ||||
−0.993950 | + | 0.109836i | \(0.964967\pi\) | |||||||
\(152\) | −1.77939e9 | − | 8.67295e9i | −0.270380 | − | 1.31786i | ||||
\(153\) | 1.60443e10 | + | 1.60443e10i | 2.36705 | + | 2.36705i | ||||
\(154\) | 8.01295e8 | − | 2.73794e8i | 0.114802 | − | 0.0392266i | ||||
\(155\) | 7.59783e9 | − | 7.74641e9i | 1.05730 | − | 1.07797i | ||||
\(156\) | 3.86271e9 | + | 4.99246e9i | 0.522194 | + | 0.674922i | ||||
\(157\) | −6.62080e9 | + | 6.62080e9i | −0.869686 | + | 0.869686i | −0.992437 | − | 0.122752i | \(-0.960828\pi\) |
0.122752 | + | 0.992437i | \(0.460828\pi\) | |||||||
\(158\) | −2.84803e9 | − | 1.39741e9i | −0.363570 | − | 0.178389i | ||||
\(159\) | −7.15240e9 | −0.887492 | ||||||||
\(160\) | 8.25969e9 | − | 7.04980e8i | 0.996377 | − | 0.0850427i | ||||
\(161\) | −6.01909e7 | −0.00706015 | ||||||||
\(162\) | −1.67526e10 | − | 8.21978e9i | −1.91101 | − | 0.937654i | ||||
\(163\) | −2.49844e9 | + | 2.49844e9i | −0.277220 | + | 0.277220i | −0.831998 | − | 0.554778i | \(-0.812803\pi\) |
0.554778 | + | 0.831998i | \(0.312803\pi\) | |||||||
\(164\) | −2.95259e9 | − | 3.81615e9i | −0.318718 | − | 0.411934i | ||||
\(165\) | −8.37194e7 | − | 8.64569e9i | −0.00879323 | − | 0.908075i | ||||
\(166\) | 1.08985e10 | − | 3.72389e9i | 1.11398 | − | 0.380636i | ||||
\(167\) | −8.01922e8 | − | 8.01922e8i | −0.0797825 | − | 0.0797825i | 0.666089 | − | 0.745872i | \(-0.267967\pi\) |
−0.745872 | + | 0.666089i | \(0.767967\pi\) | |||||||
\(168\) | −9.25397e8 | − | 4.51050e9i | −0.0896265 | − | 0.436850i | ||||
\(169\) | − | 8.29114e9i | − | 0.781851i | ||||||
\(170\) | 1.40629e10 | + | 6.73192e9i | 1.29138 | + | 0.618185i | ||||
\(171\) | 3.51699e10i | 3.14550i | ||||||||
\(172\) | −1.34073e10 | − | 1.71051e9i | −1.16806 | − | 0.149021i | ||||
\(173\) | −1.61822e9 | − | 1.61822e9i | −0.137350 | − | 0.137350i | 0.635089 | − | 0.772439i | \(-0.280963\pi\) |
−0.772439 | + | 0.635089i | \(0.780963\pi\) | |||||||
\(174\) | 9.40465e9 | + | 2.75240e10i | 0.777806 | + | 2.27636i | ||||
\(175\) | −2.09950e9 | + | 2.18244e9i | −0.169217 | + | 0.175902i | ||||
\(176\) | 6.12435e9 | + | 1.58855e9i | 0.481119 | + | 0.124794i | ||||
\(177\) | 1.09022e10 | − | 1.09022e10i | 0.834903 | − | 0.834903i | ||||
\(178\) | −2.90391e9 | + | 5.91839e9i | −0.216817 | + | 0.441890i | ||||
\(179\) | 1.91562e10 | 1.39467 | 0.697333 | − | 0.716747i | \(-0.254370\pi\) | ||||
0.697333 | + | 0.716747i | \(0.254370\pi\) | |||||||
\(180\) | −3.27040e10 | − | 3.85094e9i | −2.32207 | − | 0.273427i | ||||
\(181\) | −1.20403e10 | −0.833843 | −0.416922 | − | 0.908942i | \(-0.636891\pi\) | ||||
−0.416922 | + | 0.908942i | \(0.636891\pi\) | |||||||
\(182\) | 7.43313e8 | − | 1.51493e9i | 0.0502169 | − | 0.102346i | ||||
\(183\) | 8.69861e9 | − | 8.69861e9i | 0.573350 | − | 0.573350i | ||||
\(184\) | −3.75437e8 | − | 2.47610e8i | −0.0241467 | − | 0.0159253i | ||||
\(185\) | −6.55958e9 | + | 6.35188e7i | −0.411721 | + | 0.00398685i | ||||
\(186\) | −1.45603e10 | − | 4.26127e10i | −0.891993 | − | 2.61054i | ||||
\(187\) | 8.41438e9 | + | 8.41438e9i | 0.503193 | + | 0.503193i | ||||
\(188\) | −1.20846e9 | + | 9.47220e9i | −0.0705543 | + | 0.553019i | ||||
\(189\) | 1.04678e10i | 0.596730i | ||||||||
\(190\) | 8.03497e9 | + | 2.27917e10i | 0.447294 | + | 1.26878i | ||||
\(191\) | − | 1.57499e10i | − | 0.856302i | −0.903707 | − | 0.428151i | \(-0.859165\pi\) | ||
0.903707 | − | 0.428151i | \(-0.140835\pi\) | |||||||
\(192\) | 1.27829e10 | − | 3.19408e10i | 0.678850 | − | 1.69625i | ||||
\(193\) | 9.45536e8 | + | 9.45536e8i | 0.0490535 | + | 0.0490535i | 0.731208 | − | 0.682155i | \(-0.238957\pi\) |
−0.682155 | + | 0.731208i | \(0.738957\pi\) | |||||||
\(194\) | −3.43291e9 | + | 1.17299e9i | −0.174002 | + | 0.0594547i | ||||
\(195\) | −1.23008e10 | − | 1.20648e10i | −0.609224 | − | 0.597539i | ||||
\(196\) | 1.53675e10 | − | 1.18900e10i | 0.743790 | − | 0.575477i | ||||
\(197\) | −1.80154e10 | + | 1.80154e10i | −0.852208 | + | 0.852208i | −0.990405 | − | 0.138197i | \(-0.955869\pi\) |
0.138197 | + | 0.990405i | \(0.455869\pi\) | |||||||
\(198\) | −2.25636e10 | − | 1.10710e10i | −1.04332 | − | 0.511911i | ||||
\(199\) | −2.43161e10 | −1.09915 | −0.549573 | − | 0.835446i | \(-0.685210\pi\) | ||||
−0.549573 | + | 0.835446i | \(0.685210\pi\) | |||||||
\(200\) | −2.20735e10 | + | 4.97602e9i | −0.975520 | + | 0.219911i | ||||
\(201\) | 1.29295e10 | 0.558726 | ||||||||
\(202\) | 2.46616e10 | + | 1.21004e10i | 1.04217 | + | 0.511350i | ||||
\(203\) | 5.49820e9 | − | 5.49820e9i | 0.227242 | − | 0.227242i | ||||
\(204\) | 5.11765e10 | − | 3.95958e10i | 2.06888 | − | 1.60071i | ||||
\(205\) | 9.40251e9 | + | 9.22216e9i | 0.371836 | + | 0.364704i | ||||
\(206\) | −2.09244e9 | + | 7.14965e8i | −0.0809564 | + | 0.0276619i | ||||
\(207\) | 1.26327e9 | + | 1.26327e9i | 0.0478221 | + | 0.0478221i | ||||
\(208\) | 1.08684e10 | − | 6.39149e9i | 0.402606 | − | 0.236765i | ||||
\(209\) | 1.84448e10i | 0.668676i | ||||||||
\(210\) | 4.17871e9 | + | 1.18532e10i | 0.148271 | + | 0.420579i | ||||
\(211\) | − | 2.79442e10i | − | 0.970558i | −0.874359 | − | 0.485279i | \(-0.838718\pi\) | ||
0.874359 | − | 0.485279i | \(-0.161282\pi\) | |||||||
\(212\) | −1.80802e9 | + | 1.41716e10i | −0.0614740 | + | 0.481846i | ||||
\(213\) | −4.34966e10 | − | 4.34966e10i | −1.44793 | − | 1.44793i | ||||
\(214\) | −1.48146e9 | − | 4.33569e9i | −0.0482866 | − | 0.141317i | ||||
\(215\) | 3.68911e10 | − | 3.57230e8i | 1.17747 | − | 0.0114019i | ||||
\(216\) | −4.30619e10 | + | 6.52924e10i | −1.34602 | + | 2.04090i | ||||
\(217\) | −8.51231e9 | + | 8.51231e9i | −0.260603 | + | 0.260603i | ||||
\(218\) | −2.39081e10 | + | 4.87265e10i | −0.716952 | + | 1.46120i | ||||
\(219\) | −8.24431e10 | −2.42190 | ||||||||
\(220\) | −1.71516e10 | − | 2.01962e9i | −0.493630 | − | 0.0581256i | ||||
\(221\) | 2.37137e10 | 0.668705 | ||||||||
\(222\) | −1.19922e10 | + | 2.44411e10i | −0.331369 | + | 0.675355i | ||||
\(223\) | −9.99812e9 | + | 9.99812e9i | −0.270736 | + | 0.270736i | −0.829397 | − | 0.558660i | \(-0.811316\pi\) |
0.558660 | + | 0.829397i | \(0.311316\pi\) | |||||||
\(224\) | −9.17094e9 | + | 6.93379e8i | −0.243387 | + | 0.0184015i | ||||
\(225\) | 8.98680e10 | − | 1.74061e9i | 2.33767 | − | 0.0452773i | ||||
\(226\) | 9.43975e8 | + | 2.76267e9i | 0.0240698 | + | 0.0704436i | ||||
\(227\) | 6.76675e8 | + | 6.76675e8i | 0.0169147 | + | 0.0169147i | 0.715514 | − | 0.698599i | \(-0.246193\pi\) |
−0.698599 | + | 0.715514i | \(0.746193\pi\) | |||||||
\(228\) | 9.94890e10 | + | 1.26928e10i | 2.43819 | + | 0.311065i | ||||
\(229\) | − | 5.99302e10i | − | 1.44008i | −0.693933 | − | 0.720040i | \(-0.744124\pi\) | ||
0.693933 | − | 0.720040i | \(-0.255876\pi\) | |||||||
\(230\) | 1.10726e9 | + | 5.30047e8i | 0.0260901 | + | 0.0124893i | ||||
\(231\) | 9.59250e9i | 0.221655i | ||||||||
\(232\) | 5.69129e10 | − | 1.16765e10i | 1.28978 | − | 0.264617i | ||||
\(233\) | −1.34961e10 | − | 1.34961e10i | −0.299990 | − | 0.299990i | 0.541020 | − | 0.841010i | \(-0.318038\pi\) |
−0.841010 | + | 0.541020i | \(0.818038\pi\) | |||||||
\(234\) | −4.73953e10 | + | 1.61944e10i | −1.03339 | + | 0.353098i | ||||
\(235\) | −2.52382e8 | − | 2.60634e10i | −0.00539824 | − | 0.557476i | ||||
\(236\) | −1.88456e10 | − | 2.43574e10i | −0.395462 | − | 0.511125i | ||||
\(237\) | 2.54116e10 | − | 2.54116e10i | 0.523197 | − | 0.523197i | ||||
\(238\) | −1.55292e10 | − | 7.61952e9i | −0.313727 | − | 0.153933i | ||||
\(239\) | 3.23573e10 | 0.641478 | 0.320739 | − | 0.947168i | \(-0.396069\pi\) | ||||
0.320739 | + | 0.947168i | \(0.396069\pi\) | |||||||
\(240\) | −2.26965e10 | + | 9.11236e10i | −0.441578 | + | 1.77288i | ||||
\(241\) | 3.28641e10 | 0.627545 | 0.313773 | − | 0.949498i | \(-0.398407\pi\) | ||||
0.313773 | + | 0.949498i | \(0.398407\pi\) | |||||||
\(242\) | 3.60657e10 | + | 1.76959e10i | 0.675967 | + | 0.331669i | ||||
\(243\) | 5.55122e10 | − | 5.55122e10i | 1.02132 | − | 1.02132i | ||||
\(244\) | −1.50364e10 | − | 1.94341e10i | −0.271575 | − | 0.351003i | ||||
\(245\) | −3.71373e10 | + | 3.78635e10i | −0.658510 | + | 0.671388i | ||||
\(246\) | 5.17227e10 | − | 1.76731e10i | 0.900479 | − | 0.307684i | ||||
\(247\) | 2.59909e10 | + | 2.59909e10i | 0.444310 | + | 0.444310i | ||||
\(248\) | −8.81125e10 | + | 1.80776e10i | −1.47913 | + | 0.303465i | ||||
\(249\) | 1.30468e11i | 2.15084i | ||||||||
\(250\) | 5.78409e10 | − | 2.16594e10i | 0.936494 | − | 0.350684i | ||||
\(251\) | − | 1.72860e10i | − | 0.274893i | −0.990509 | − | 0.137447i | \(-0.956110\pi\) | ||
0.990509 | − | 0.137447i | \(-0.0438895\pi\) | |||||||
\(252\) | 3.62407e10 | + | 4.62360e9i | 0.566102 | + | 0.0722234i | ||||
\(253\) | 6.62518e8 | + | 6.62518e8i | 0.0101661 | + | 0.0101661i | ||||
\(254\) | −1.22804e10 | − | 3.59402e10i | −0.185123 | − | 0.541787i | ||||
\(255\) | −1.23674e11 | + | 1.26092e11i | −1.83167 | + | 1.86749i | ||||
\(256\) | −6.00556e10 | − | 3.34020e10i | −0.873924 | − | 0.486063i | ||||
\(257\) | 1.34525e10 | − | 1.34525e10i | 0.192356 | − | 0.192356i | −0.604358 | − | 0.796713i | \(-0.706570\pi\) |
0.796713 | + | 0.604358i | \(0.206570\pi\) | |||||||
\(258\) | 6.74444e10 | − | 1.37457e11i | 0.947671 | − | 1.93143i | ||||
\(259\) | 7.27793e9 | 0.100498 | ||||||||
\(260\) | −2.70145e10 | + | 2.13227e10i | −0.366621 | + | 0.289376i | ||||
\(261\) | −2.30789e11 | −3.07846 | ||||||||
\(262\) | −2.34373e9 | + | 4.77670e9i | −0.0307292 | + | 0.0626285i | ||||
\(263\) | 6.03390e9 | − | 6.03390e9i | 0.0777673 | − | 0.0777673i | −0.667153 | − | 0.744921i | \(-0.732487\pi\) |
0.744921 | + | 0.667153i | \(0.232487\pi\) | |||||||
\(264\) | −3.94610e10 | + | 5.98327e10i | −0.499978 | + | 0.758090i | ||||
\(265\) | −3.77595e8 | − | 3.89942e10i | −0.00470349 | − | 0.485729i | ||||
\(266\) | −8.66921e9 | − | 2.53716e10i | −0.106173 | − | 0.310729i | ||||
\(267\) | −5.28070e10 | − | 5.28070e10i | −0.635903 | − | 0.635903i | ||||
\(268\) | 3.26838e9 | − | 2.56182e10i | 0.0387013 | − | 0.303349i | ||||
\(269\) | 1.62845e10i | 0.189623i | 0.995495 | + | 0.0948114i | \(0.0302248\pi\) | ||||
−0.995495 | + | 0.0948114i | \(0.969775\pi\) | |||||||
\(270\) | 9.21808e10 | − | 1.92565e11i | 1.05561 | − | 2.20516i | ||||
\(271\) | 1.82399e10i | 0.205429i | 0.994711 | + | 0.102714i | \(0.0327527\pi\) | ||||
−0.994711 | + | 0.102714i | \(0.967247\pi\) | |||||||
\(272\) | −6.55176e10 | − | 1.11409e11i | −0.725768 | − | 1.23413i | ||||
\(273\) | 1.35170e10 | + | 1.35170e10i | 0.147281 | + | 0.147281i | ||||
\(274\) | 2.94263e10 | − | 1.00547e10i | 0.315398 | − | 0.107768i | ||||
\(275\) | 4.71311e10 | − | 9.12861e8i | 0.496947 | − | 0.00962515i | ||||
\(276\) | 4.02946e9 | − | 3.11763e9i | 0.0417980 | − | 0.0323395i | ||||
\(277\) | 4.29789e10 | − | 4.29789e10i | 0.438628 | − | 0.438628i | −0.452922 | − | 0.891550i | \(-0.649619\pi\) |
0.891550 | + | 0.452922i | \(0.149619\pi\) | |||||||
\(278\) | −1.50787e11 | − | 7.39851e10i | −1.51413 | − | 0.742921i | ||||
\(279\) | 3.57308e11 | 3.53040 | ||||||||
\(280\) | 2.45420e10 | − | 5.28330e9i | 0.238615 | − | 0.0513682i | ||||
\(281\) | 1.83347e11 | 1.75427 | 0.877134 | − | 0.480246i | \(-0.159453\pi\) | ||||
0.877134 | + | 0.480246i | \(0.159453\pi\) | |||||||
\(282\) | −9.71128e10 | − | 4.76492e10i | −0.914440 | − | 0.448678i | ||||
\(283\) | −1.33619e11 | + | 1.33619e11i | −1.23831 | + | 1.23831i | −0.277612 | + | 0.960693i | \(0.589543\pi\) |
−0.960693 | + | 0.277612i | \(0.910457\pi\) | |||||||
\(284\) | −9.71786e10 | + | 7.51880e10i | −0.886417 | + | 0.685829i | ||||
\(285\) | −2.73751e11 | + | 2.65083e9i | −2.45784 | + | 0.0238002i | ||||
\(286\) | −2.48564e10 | + | 8.49315e9i | −0.219680 | + | 0.0750622i | ||||
\(287\) | −1.03321e10 | − | 1.03321e10i | −0.0898922 | − | 0.0898922i | ||||
\(288\) | 2.07029e11 | + | 1.77924e11i | 1.77323 | + | 1.52395i | ||||
\(289\) | − | 1.24496e11i | − | 1.04982i | ||||||
\(290\) | −1.49562e11 | + | 5.27264e10i | −1.24174 | + | 0.437761i | ||||
\(291\) | − | 4.10962e10i | − | 0.335957i | ||||||
\(292\) | −2.08404e10 | + | 1.63351e11i | −0.167758 | + | 1.31492i | ||||
\(293\) | 1.37563e11 | + | 1.37563e11i | 1.09043 | + | 1.09043i | 0.995482 | + | 0.0949453i | \(0.0302676\pi\) |
0.0949453 | + | 0.995482i | \(0.469732\pi\) | |||||||
\(294\) | 7.11688e10 | + | 2.08285e11i | 0.555555 | + | 1.62591i | ||||
\(295\) | 6.00136e10 | + | 5.88625e10i | 0.461371 | + | 0.452522i | ||||
\(296\) | 4.53957e10 | + | 2.99395e10i | 0.343718 | + | 0.226690i | ||||
\(297\) | 1.15219e11 | − | 1.15219e11i | 0.859250 | − | 0.859250i | ||||
\(298\) | 5.13155e10 | − | 1.04585e11i | 0.376942 | − | 0.768238i | ||||
\(299\) | 1.86714e9 | 0.0135100 | ||||||||
\(300\) | 2.75095e10 | − | 2.54848e11i | 0.196082 | − | 1.81650i | ||||
\(301\) | −4.09312e10 | −0.287412 | ||||||||
\(302\) | −1.39876e10 | + | 2.85079e10i | −0.0967639 | + | 0.197212i | ||||
\(303\) | −2.20043e11 | + | 2.20043e11i | −1.49974 | + | 1.49974i | ||||
\(304\) | 5.02986e10 | − | 1.93917e11i | 0.337773 | − | 1.30222i | ||||
\(305\) | 4.78832e10 | + | 4.69648e10i | 0.316836 | + | 0.310759i | ||||
\(306\) | 1.66005e11 | + | 4.85838e11i | 1.08237 | + | 3.16771i | ||||
\(307\) | 6.55913e10 | + | 6.55913e10i | 0.421428 | + | 0.421428i | 0.885695 | − | 0.464267i | \(-0.153682\pi\) |
−0.464267 | + | 0.885695i | \(0.653682\pi\) | |||||||
\(308\) | 1.90064e10 | + | 2.42484e9i | 0.120343 | + | 0.0153534i | ||||
\(309\) | − | 2.50492e10i | − | 0.156308i | ||||||
\(310\) | 2.31552e11 | − | 8.16310e10i | 1.42403 | − | 0.502027i | ||||
\(311\) | − | 3.02220e11i | − | 1.83190i | −0.401296 | − | 0.915948i | \(-0.631440\pi\) | ||
0.401296 | − | 0.915948i | \(-0.368560\pi\) | |||||||
\(312\) | 2.87060e10 | + | 1.39917e11i | 0.171505 | + | 0.835938i | ||||
\(313\) | 1.00016e11 | + | 1.00016e11i | 0.589008 | + | 0.589008i | 0.937363 | − | 0.348354i | \(-0.113259\pi\) |
−0.348354 | + | 0.937363i | \(0.613259\pi\) | |||||||
\(314\) | −2.00485e11 | + | 6.85036e10i | −1.16386 | + | 0.397677i | ||||
\(315\) | −9.97190e10 | + | 9.65615e8i | −0.570664 | + | 0.00552595i | ||||
\(316\) | −4.39265e10 | − | 5.67738e10i | −0.247819 | − | 0.320299i | ||||
\(317\) | −1.06789e11 | + | 1.06789e11i | −0.593963 | + | 0.593963i | −0.938699 | − | 0.344737i | \(-0.887968\pi\) |
0.344737 | + | 0.938699i | \(0.387968\pi\) | |||||||
\(318\) | −1.45293e11 | − | 7.12893e10i | −0.796752 | − | 0.390933i | ||||
\(319\) | −1.21037e11 | −0.654425 | ||||||||
\(320\) | 1.74813e11 | + | 6.80050e10i | 0.931965 | + | 0.362548i | ||||
\(321\) | 5.19036e10 | 0.272850 | ||||||||
\(322\) | −1.22271e9 | − | 5.99934e8i | −0.00633830 | − | 0.00310994i | ||||
\(323\) | 2.66427e11 | − | 2.66427e11i | 1.36197 | − | 1.36197i | ||||
\(324\) | −2.58382e11 | − | 3.33952e11i | −1.30259 | − | 1.68357i | ||||
\(325\) | 6.51270e10 | − | 6.76997e10i | 0.323807 | − | 0.336598i | ||||
\(326\) | −7.56556e10 | + | 2.58507e10i | −0.370990 | + | 0.126763i | ||||
\(327\) | −4.34763e11 | − | 4.34763e11i | −2.10275 | − | 2.10275i | ||||
\(328\) | −2.19424e10 | − | 1.06950e11i | −0.104677 | − | 0.510209i | ||||
\(329\) | 2.89177e10i | 0.136076i | ||||||||
\(330\) | 8.44726e10 | − | 1.76462e11i | 0.392106 | − | 0.819104i | ||||
\(331\) | 3.53429e11i | 1.61837i | 0.587557 | + | 0.809183i | \(0.300090\pi\) | ||||
−0.587557 | + | 0.809183i | \(0.699910\pi\) | |||||||
\(332\) | 2.58507e11 | + | 3.29804e10i | 1.16775 | + | 0.148982i | ||||
\(333\) | −1.52747e11 | − | 1.52747e11i | −0.680728 | − | 0.680728i | ||||
\(334\) | −8.29726e9 | − | 2.42831e10i | −0.0364817 | − | 0.106769i | ||||
\(335\) | 6.82584e8 | + | 7.04904e10i | 0.00296111 | + | 0.305793i | ||||
\(336\) | 2.61586e10 | − | 1.00849e11i | 0.111966 | − | 0.431665i | ||||
\(337\) | −2.43330e11 | + | 2.43330e11i | −1.02769 | + | 1.02769i | −0.0280829 | + | 0.999606i | \(0.508940\pi\) |
−0.999606 | + | 0.0280829i | \(0.991060\pi\) | |||||||
\(338\) | 8.26393e10 | − | 1.68425e11i | 0.344399 | − | 0.701912i | ||||
\(339\) | −3.30726e10 | −0.136010 | ||||||||
\(340\) | 2.18574e11 | + | 2.76919e11i | 0.887041 | + | 1.12382i | ||||
\(341\) | 1.87389e11 | 0.750499 | ||||||||
\(342\) | −3.50545e11 | + | 7.14439e11i | −1.38556 | + | 2.82389i | ||||
\(343\) | 8.58501e10 | − | 8.58501e10i | 0.334902 | − | 0.334902i | ||||
\(344\) | −2.55306e11 | − | 1.68380e11i | −0.982987 | − | 0.648303i | ||||
\(345\) | −9.73764e9 | + | 9.92807e9i | −0.0370056 | + | 0.0377293i | ||||
\(346\) | −1.67432e10 | − | 4.90014e10i | −0.0628054 | − | 0.183809i | ||||
\(347\) | 6.41385e10 | + | 6.41385e10i | 0.237485 | + | 0.237485i | 0.815808 | − | 0.578323i | \(-0.196293\pi\) |
−0.578323 | + | 0.815808i | \(0.696293\pi\) | |||||||
\(348\) | −8.32918e10 | + | 6.52858e11i | −0.304436 | + | 2.38623i | ||||
\(349\) | − | 2.06015e11i | − | 0.743335i | −0.928366 | − | 0.371667i | \(-0.878786\pi\) | ||
0.928366 | − | 0.371667i | \(-0.121214\pi\) | |||||||
\(350\) | −6.44018e10 | + | 2.34077e10i | −0.229399 | + | 0.0833782i | ||||
\(351\) | − | 3.24714e11i | − | 1.14188i | ||||||
\(352\) | 1.08576e11 | + | 9.33121e10i | 0.376957 | + | 0.323964i | ||||
\(353\) | −1.87527e11 | − | 1.87527e11i | −0.642803 | − | 0.642803i | 0.308440 | − | 0.951244i | \(-0.400193\pi\) |
−0.951244 | + | 0.308440i | \(0.900193\pi\) | |||||||
\(354\) | 3.30132e11 | − | 1.12802e11i | 1.11731 | − | 0.381772i | ||||
\(355\) | 2.34843e11 | − | 2.39436e11i | 0.784784 | − | 0.800132i | ||||
\(356\) | −1.17980e11 | + | 9.12819e10i | −0.389298 | + | 0.301203i | ||||
\(357\) | 1.38559e11 | − | 1.38559e11i | 0.451470 | − | 0.451470i | ||||
\(358\) | 3.89137e11 | + | 1.90933e11i | 1.25207 | + | 0.614339i | ||||
\(359\) | 5.56594e11 | 1.76854 | 0.884268 | − | 0.466980i | \(-0.154658\pi\) | ||||
0.884268 | + | 0.466980i | \(0.154658\pi\) | |||||||
\(360\) | −6.25964e11 | − | 4.04195e11i | −1.96421 | − | 1.26832i | ||||
\(361\) | 2.61336e11 | 0.809872 | ||||||||
\(362\) | −2.44586e11 | − | 1.20008e11i | −0.748588 | − | 0.367301i | ||||
\(363\) | −3.21797e11 | + | 3.21797e11i | −0.972752 | + | 0.972752i | ||||
\(364\) | 3.01992e10 | − | 2.33654e10i | 0.0901652 | − | 0.0697617i | ||||
\(365\) | −4.35241e9 | − | 4.49473e11i | −0.0128355 | − | 1.32552i | ||||
\(366\) | 2.63403e11 | − | 9.00021e10i | 0.767285 | − | 0.262173i | ||||
\(367\) | −4.15041e11 | − | 4.15041e11i | −1.19425 | − | 1.19425i | −0.975863 | − | 0.218383i | \(-0.929922\pi\) |
−0.218383 | − | 0.975863i | \(-0.570078\pi\) | |||||||
\(368\) | −5.15862e9 | − | 8.77197e9i | −0.0146629 | − | 0.0249334i | ||||
\(369\) | 4.33696e11i | 1.21777i | ||||||||
\(370\) | −1.33884e11 | − | 6.40902e10i | −0.371381 | − | 0.177780i | ||||
\(371\) | 4.32646e10i | 0.118563i | ||||||||
\(372\) | 1.28952e11 | − | 1.01075e12i | 0.349129 | − | 2.73655i | ||||
\(373\) | −1.85481e11 | − | 1.85481e11i | −0.496146 | − | 0.496146i | 0.414090 | − | 0.910236i | \(-0.364100\pi\) |
−0.910236 | + | 0.414090i | \(0.864100\pi\) | |||||||
\(374\) | 8.70612e10 | + | 2.54797e11i | 0.230093 | + | 0.673397i | ||||
\(375\) | 2.03219e10 | + | 6.99371e11i | 0.0530669 | + | 1.82628i | ||||
\(376\) | −1.18960e11 | + | 1.80372e11i | −0.306941 | + | 0.465398i | ||||
\(377\) | −1.70556e11 | + | 1.70556e11i | −0.434840 | + | 0.434840i | ||||
\(378\) | −1.04335e11 | + | 2.12642e11i | −0.262855 | + | 0.535719i | ||||
\(379\) | −3.38128e11 | −0.841791 | −0.420895 | − | 0.907109i | \(-0.638284\pi\) | ||||
−0.420895 | + | 0.907109i | \(0.638284\pi\) | |||||||
\(380\) | −6.39478e10 | + | 5.43075e11i | −0.157326 | + | 1.33608i | ||||
\(381\) | 4.30249e11 | 1.04606 | ||||||||
\(382\) | 1.56982e11 | − | 3.19941e11i | 0.377194 | − | 0.768751i | ||||
\(383\) | −2.23635e11 | + | 2.23635e11i | −0.531063 | + | 0.531063i | −0.920889 | − | 0.389826i | \(-0.872535\pi\) |
0.389826 | + | 0.920889i | \(0.372535\pi\) | |||||||
\(384\) | 5.78031e11 | − | 5.21433e11i | 1.35663 | − | 1.22379i | ||||
\(385\) | −5.22974e10 | + | 5.06415e8i | −0.121313 | + | 0.00117472i | ||||
\(386\) | 9.78319e9 | + | 2.86319e10i | 0.0224304 | + | 0.0656458i | ||||
\(387\) | 8.59051e11 | + | 8.59051e11i | 1.94679 | + | 1.94679i | ||||
\(388\) | −8.14273e10 | − | 1.03885e10i | −0.182401 | − | 0.0232707i | ||||
\(389\) | 7.92082e11i | 1.75387i | 0.480611 | + | 0.876934i | \(0.340415\pi\) | ||||
−0.480611 | + | 0.876934i | \(0.659585\pi\) | |||||||
\(390\) | −1.29624e11 | − | 3.67688e11i | −0.283724 | − | 0.804802i | ||||
\(391\) | − | 1.91396e10i | − | 0.0414130i | ||||||
\(392\) | 4.30683e11 | − | 8.83612e10i | 0.921235 | − | 0.189005i | ||||
\(393\) | −4.26202e10 | − | 4.26202e10i | −0.0901257 | − | 0.0901257i | ||||
\(394\) | −5.45526e11 | + | 1.86400e11i | −1.14047 | + | 0.389685i | ||||
\(395\) | 1.39884e11 | + | 1.37200e11i | 0.289121 | + | 0.283575i | ||||
\(396\) | −3.48008e11 | − | 4.49792e11i | −0.711150 | − | 0.919144i | ||||
\(397\) | −5.19606e11 | + | 5.19606e11i | −1.04982 | + | 1.04982i | −0.0511323 | + | 0.998692i | \(0.516283\pi\) |
−0.998692 | + | 0.0511323i | \(0.983717\pi\) | |||||||
\(398\) | −4.93956e11 | − | 2.42363e11i | −0.986766 | − | 0.484165i | ||||
\(399\) | 3.03730e11 | 0.599943 | ||||||||
\(400\) | −4.97996e11 | − | 1.18928e11i | −0.972648 | − | 0.232282i | ||||
\(401\) | −6.48299e11 | −1.25206 | −0.626031 | − | 0.779798i | \(-0.715322\pi\) | ||||
−0.626031 | + | 0.779798i | \(0.715322\pi\) | |||||||
\(402\) | 2.62648e11 | + | 1.28871e11i | 0.501600 | + | 0.246114i | ||||
\(403\) | 2.64054e11 | − | 2.64054e11i | 0.498678 | − | 0.498678i | ||||
\(404\) | 3.80366e11 | + | 4.91613e11i | 0.710371 | + | 0.918136i | ||||
\(405\) | 8.22815e11 | + | 8.07033e11i | 1.51969 | + | 1.49054i | ||||
\(406\) | 1.66492e11 | − | 5.68884e10i | 0.304106 | − | 0.103910i | ||||
\(407\) | −8.01078e10 | − | 8.01078e10i | −0.144711 | − | 0.144711i | ||||
\(408\) | 1.43425e12 | − | 2.94259e11i | 2.56245 | − | 0.525725i | ||||
\(409\) | − | 4.02151e11i | − | 0.710614i | −0.934750 | − | 0.355307i | \(-0.884376\pi\) | ||
0.934750 | − | 0.355307i | \(-0.115624\pi\) | |||||||
\(410\) | 9.90827e10 | + | 2.81055e11i | 0.173169 | + | 0.491206i | ||||
\(411\) | 3.52270e11i | 0.608958i | ||||||||
\(412\) | −4.96319e10 | − | 6.33205e9i | −0.0848640 | − | 0.0108270i | ||||
\(413\) | −6.59472e10 | − | 6.59472e10i | −0.111538 | − | 0.111538i | ||||
\(414\) | 1.30707e10 | + | 3.82531e10i | 0.0218674 | + | 0.0639979i | ||||
\(415\) | −7.11301e11 | + | 6.88779e9i | −1.17716 | + | 0.0113989i | ||||
\(416\) | 2.84485e11 | − | 2.15088e10i | 0.465735 | − | 0.0352124i | ||||
\(417\) | 1.34540e12 | − | 1.34540e12i | 2.17891 | − | 2.17891i | ||||
\(418\) | −1.83843e11 | + | 3.74686e11i | −0.294546 | + | 0.600308i | ||||
\(419\) | −6.71603e11 | −1.06451 | −0.532255 | − | 0.846584i | \(-0.678655\pi\) | ||||
−0.532255 | + | 0.846584i | \(0.678655\pi\) | |||||||
\(420\) | −3.32570e10 | + | 2.82434e11i | −0.0521509 | + | 0.442890i | ||||
\(421\) | −6.78707e11 | −1.05296 | −0.526481 | − | 0.850187i | \(-0.676489\pi\) | ||||
−0.526481 | + | 0.850187i | \(0.676489\pi\) | |||||||
\(422\) | 2.78526e11 | − | 5.67657e11i | 0.427523 | − | 0.871325i | ||||
\(423\) | 6.06915e11 | − | 6.06915e11i | 0.921715 | − | 0.921715i | ||||
\(424\) | −1.77979e11 | + | 2.69860e11i | −0.267438 | + | 0.405502i | ||||
\(425\) | −6.93974e11 | − | 6.67602e11i | −1.03179 | − | 0.992584i | ||||
\(426\) | −4.50047e11 | − | 1.31712e12i | −0.662087 | − | 1.93769i | ||||
\(427\) | −5.26175e10 | − | 5.26175e10i | −0.0765958 | − | 0.0765958i | ||||
\(428\) | 1.31204e10 | − | 1.02841e11i | 0.0188995 | − | 0.148139i | ||||
\(429\) | − | 2.97562e11i | − | 0.424150i | ||||||
\(430\) | 7.52964e11 | + | 3.60444e11i | 1.06210 | + | 0.508429i | ||||
\(431\) | 7.68945e11i | 1.07336i | 0.843784 | + | 0.536682i | \(0.180323\pi\) | ||||
−0.843784 | + | 0.536682i | \(0.819677\pi\) | |||||||
\(432\) | −1.52554e12 | + | 8.97139e11i | −2.10740 | + | 1.23932i | ||||
\(433\) | 8.37526e11 | + | 8.37526e11i | 1.14499 | + | 1.14499i | 0.987524 | + | 0.157469i | \(0.0503334\pi\) |
0.157469 | + | 0.987524i | \(0.449667\pi\) | |||||||
\(434\) | −2.57762e11 | + | 8.80745e10i | −0.348751 | + | 0.119164i | ||||
\(435\) | −1.73951e10 | − | 1.79639e12i | −0.0232929 | − | 2.40546i | ||||
\(436\) | −9.71333e11 | + | 7.51530e11i | −1.28730 | + | 0.995994i | ||||
\(437\) | 2.09775e10 | − | 2.09775e10i | 0.0275161 | − | 0.0275161i | ||||
\(438\) | −1.67474e12 | − | 8.21727e11i | −2.17428 | − | 1.06683i | ||||
\(439\) | 4.39195e11 | 0.564374 | 0.282187 | − | 0.959359i | \(-0.408940\pi\) | ||||
0.282187 | + | 0.959359i | \(0.408940\pi\) | |||||||
\(440\) | −3.28285e11 | − | 2.11979e11i | −0.417556 | − | 0.269623i | ||||
\(441\) | −1.74648e12 | −2.19882 | ||||||||
\(442\) | 4.81719e11 | + | 2.36359e11i | 0.600335 | + | 0.294559i | ||||
\(443\) | 9.25287e11 | − | 9.25287e11i | 1.14146 | − | 1.14146i | 0.153274 | − | 0.988184i | \(-0.451018\pi\) |
0.988184 | − | 0.153274i | \(-0.0489816\pi\) | |||||||
\(444\) | −4.87218e11 | + | 3.76966e11i | −0.594977 | + | 0.460340i | ||||
\(445\) | 2.85111e11 | − | 2.90687e11i | 0.344662 | − | 0.351403i | ||||
\(446\) | −3.02754e11 | + | 1.03448e11i | −0.362312 | + | 0.123798i | ||||
\(447\) | 9.33161e11 | + | 9.33161e11i | 1.10554 | + | 1.10554i | ||||
\(448\) | −1.93209e11 | − | 7.73233e10i | −0.226608 | − | 0.0906900i | ||||
\(449\) | − | 1.21765e12i | − | 1.41389i | −0.707271 | − | 0.706943i | \(-0.750074\pi\) | ||
0.707271 | − | 0.706943i | \(-0.249926\pi\) | |||||||
\(450\) | 1.84292e12 | + | 8.60373e11i | 2.11861 | + | 0.989078i | ||||
\(451\) | 2.27451e11i | 0.258877i | ||||||||
\(452\) | −8.36026e9 | + | 6.55294e10i | −0.00942099 | + | 0.0738437i | ||||
\(453\) | −2.54362e11 | − | 2.54362e11i | −0.283799 | − | 0.283799i | ||||
\(454\) | 7.00137e9 | + | 2.04905e10i | 0.00773449 | + | 0.0226360i | ||||
\(455\) | −7.29798e10 | + | 7.44070e10i | −0.0798272 | + | 0.0813883i | ||||
\(456\) | 1.89450e12 | + | 1.24947e12i | 2.05188 | + | 1.35327i | ||||
\(457\) | −5.45551e11 | + | 5.45551e11i | −0.585076 | + | 0.585076i | −0.936294 | − | 0.351218i | \(-0.885768\pi\) |
0.351218 | + | 0.936294i | \(0.385768\pi\) | |||||||
\(458\) | 5.97336e11 | − | 1.21742e12i | 0.634343 | − | 1.29284i | ||||
\(459\) | −3.32857e12 | −3.50026 | ||||||||
\(460\) | 1.72098e10 | + | 2.18036e10i | 0.0179211 | + | 0.0227049i | ||||
\(461\) | 1.53544e12 | 1.58336 | 0.791679 | − | 0.610938i | \(-0.209207\pi\) | ||||
0.791679 | + | 0.610938i | \(0.209207\pi\) | |||||||
\(462\) | −9.56102e10 | + | 1.94861e11i | −0.0976373 | + | 0.198992i | ||||
\(463\) | −1.01535e12 | + | 1.01535e12i | −1.02683 | + | 1.02683i | −0.0272046 | + | 0.999630i | \(0.508661\pi\) |
−0.999630 | + | 0.0272046i | \(0.991339\pi\) | |||||||
\(464\) | 1.27251e12 | + | 3.30065e11i | 1.27447 | + | 0.330574i | ||||
\(465\) | 2.69310e10 | + | 2.78116e12i | 0.0267125 | + | 2.75860i | ||||
\(466\) | −1.39641e11 | − | 4.08677e11i | −0.137175 | − | 0.401462i | ||||
\(467\) | −4.88692e11 | − | 4.88692e11i | −0.475454 | − | 0.475454i | 0.428220 | − | 0.903674i | \(-0.359141\pi\) |
−0.903674 | + | 0.428220i | \(0.859141\pi\) | |||||||
\(468\) | −1.12420e12 | − | 1.43425e11i | −1.08327 | − | 0.138204i | ||||
\(469\) | − | 7.82099e10i | − | 0.0746421i | ||||||
\(470\) | 2.54652e11 | − | 5.31966e11i | 0.240717 | − | 0.502855i | ||||
\(471\) | − | 2.40006e12i | − | 2.24713i | ||||||
\(472\) | −1.40052e11 | − | 6.82632e11i | −0.129883 | − | 0.633064i | ||||
\(473\) | 4.50527e11 | + | 4.50527e11i | 0.413853 | + | 0.413853i | ||||
\(474\) | 7.69493e11 | − | 2.62927e11i | 0.700167 | − | 0.239240i | ||||
\(475\) | −2.89042e10 | − | 1.49233e12i | −0.0260519 | − | 1.34506i | ||||
\(476\) | −2.39513e11 | − | 3.09565e11i | −0.213844 | − | 0.276388i | ||||
\(477\) | 9.08023e11 | − | 9.08023e11i | 0.803090 | − | 0.803090i | ||||
\(478\) | 6.57303e11 | + | 3.22511e11i | 0.575891 | + | 0.282566i | ||||
\(479\) | 3.77631e11 | 0.327761 | 0.163881 | − | 0.986480i | \(-0.447599\pi\) | ||||
0.163881 | + | 0.986480i | \(0.447599\pi\) | |||||||
\(480\) | −1.36930e12 | + | 1.62486e12i | −1.17737 | + | 1.39711i | ||||
\(481\) | −2.25763e11 | −0.192309 | ||||||||
\(482\) | 6.67599e11 | + | 3.27563e11i | 0.563383 | + | 0.276429i | ||||
\(483\) | 1.09097e10 | − | 1.09097e10i | 0.00912115 | − | 0.00912115i | ||||
\(484\) | 5.56257e11 | + | 7.18947e11i | 0.460756 | + | 0.595515i | ||||
\(485\) | 2.24053e11 | − | 2.16959e9i | 0.183871 | − | 0.00178049i | ||||
\(486\) | 1.68097e12 | − | 5.74369e11i | 1.36677 | − | 0.467012i | ||||
\(487\) | 1.08677e12 | + | 1.08677e12i | 0.875504 | + | 0.875504i | 0.993066 | − | 0.117562i | \(-0.0375078\pi\) |
−0.117562 | + | 0.993066i | \(0.537508\pi\) | |||||||
\(488\) | −1.11744e11 | − | 5.44654e11i | −0.0891939 | − | 0.434742i | ||||
\(489\) | − | 9.05692e11i | − | 0.716293i | ||||||
\(490\) | −1.13180e12 | + | 3.99002e11i | −0.886923 | + | 0.312675i | ||||
\(491\) | 5.95293e11i | 0.462236i | 0.972926 | + | 0.231118i | \(0.0742384\pi\) | ||||
−0.972926 | + | 0.231118i | \(0.925762\pi\) | |||||||
\(492\) | 1.22684e12 | + | 1.56521e11i | 0.943943 | + | 0.120428i | ||||
\(493\) | 1.74832e12 | + | 1.74832e12i | 1.33294 | + | 1.33294i | ||||
\(494\) | 2.68921e11 | + | 7.87035e11i | 0.203167 | + | 0.594597i | ||||
\(495\) | 1.10823e12 | + | 1.08697e12i | 0.829673 | + | 0.813759i | ||||
\(496\) | −1.97009e12 | − | 5.11007e11i | −1.46157 | − | 0.379105i | ||||
\(497\) | −2.63109e11 | + | 2.63109e11i | −0.193434 | + | 0.193434i | ||||
\(498\) | −1.30040e12 | + | 2.65032e12i | −0.947426 | + | 1.93093i | ||||
\(499\) | 5.61154e11 | 0.405163 | 0.202582 | − | 0.979265i | \(-0.435067\pi\) | ||||
0.202582 | + | 0.979265i | \(0.435067\pi\) | |||||||
\(500\) | 1.39086e12 | + | 1.36525e11i | 0.995217 | + | 0.0976894i | ||||
\(501\) | 2.90699e11 | 0.206145 | ||||||||
\(502\) | 1.72293e11 | − | 3.51147e11i | 0.121088 | − | 0.246787i | ||||
\(503\) | −1.46305e12 | + | 1.46305e12i | −1.01907 | + | 1.01907i | −0.0192528 | + | 0.999815i | \(0.506129\pi\) |
−0.999815 | + | 0.0192528i | \(0.993871\pi\) | |||||||
\(504\) | 6.90107e11 | + | 4.55142e11i | 0.476408 | + | 0.314202i | ||||
\(505\) | −1.21127e12 | − | 1.18804e12i | −0.828763 | − | 0.812867i | ||||
\(506\) | 6.85489e9 | + | 2.00618e10i | 0.00464861 | + | 0.0136048i | ||||
\(507\) | 1.50278e12 | + | 1.50278e12i | 1.01009 | + | 1.01009i | ||||
\(508\) | 1.08760e11 | − | 8.52487e11i | 0.0724576 | − | 0.567938i | ||||
\(509\) | − | 2.68653e11i | − | 0.177404i | −0.996058 | − | 0.0887018i | \(-0.971728\pi\) | ||
0.996058 | − | 0.0887018i | \(-0.0282718\pi\) | |||||||
\(510\) | −3.76909e12 | + | 1.32875e12i | −2.46701 | + | 0.869716i | ||||
\(511\) | 4.98695e11i | 0.323550i | ||||||||
\(512\) | −8.87041e11 | − | 1.27711e12i | −0.570465 | − | 0.821322i | ||||
\(513\) | −3.64821e12 | − | 3.64821e12i | −2.32569 | − | 2.32569i | ||||
\(514\) | 4.07357e11 | − | 1.39190e11i | 0.257420 | − | 0.0879575i | ||||
\(515\) | 1.36566e11 | − | 1.32242e9i | 0.0855479 | − | 0.000828391i | ||||
\(516\) | 2.74012e12 | − | 2.12006e12i | 1.70156 | − | 1.31651i | ||||
\(517\) | 3.18296e11 | − | 3.18296e11i | 0.195940 | − | 0.195940i | ||||
\(518\) | 1.47843e11 | + | 7.25405e10i | 0.0902230 | + | 0.0442687i | ||||
\(519\) | 5.86607e11 | 0.354891 | ||||||||
\(520\) | −7.61298e11 | + | 1.63889e11i | −0.456604 | + | 0.0982960i | ||||
\(521\) | 1.17766e12 | 0.700243 | 0.350122 | − | 0.936704i | \(-0.386140\pi\) | ||||
0.350122 | + | 0.936704i | \(0.386140\pi\) | |||||||
\(522\) | −4.68823e12 | − | 2.30032e12i | −2.76370 | − | 1.35603i | ||||
\(523\) | 1.70694e12 | − | 1.70694e12i | 0.997610 | − | 0.997610i | −0.00238710 | − | 0.999997i | \(-0.500760\pi\) |
0.999997 | + | 0.00238710i | \(0.000759839\pi\) | |||||||
\(524\) | −9.52205e10 | + | 7.36730e10i | −0.0551747 | + | 0.0426892i | ||||
\(525\) | −1.50321e10 | − | 7.76107e11i | −0.00863578 | − | 0.445866i | ||||
\(526\) | 1.82713e11 | − | 6.24311e10i | 0.104072 | − | 0.0355603i | ||||
\(527\) | −2.70676e12 | − | 2.70676e12i | −1.52863 | − | 1.52863i | ||||
\(528\) | −1.39797e12 | + | 8.22120e11i | −0.782791 | + | 0.460344i | ||||
\(529\) | 1.79965e12i | 0.999163i | ||||||||
\(530\) | 3.80992e11 | − | 7.95889e11i | 0.209737 | − | 0.438138i | ||||
\(531\) | 2.76816e12i | 1.51100i | ||||||||
\(532\) | 7.67784e10 | − | 6.01805e11i | 0.0415563 | − | 0.325727i | ||||
\(533\) | 3.20506e11 | + | 3.20506e11i | 0.172014 | + | 0.172014i | ||||
\(534\) | −5.46379e11 | − | 1.59905e12i | −0.290776 | − | 0.850996i | ||||
\(535\) | 2.74014e9 | + | 2.82974e11i | 0.00144604 | + | 0.149332i | ||||
\(536\) | 3.21735e11 | − | 4.87830e11i | 0.168367 | − | 0.255286i | ||||
\(537\) | −3.47208e12 | + | 3.47208e12i | −1.80180 | + | 1.80180i | ||||
\(538\) | −1.62311e11 | + | 3.30803e11i | −0.0835273 | + | 0.170235i | ||||
\(539\) | −9.15936e11 | −0.467429 | ||||||||
\(540\) | 3.79188e12 | − | 2.99296e12i | 1.91903 | − | 1.51471i | ||||
\(541\) | 1.07941e12 | 0.541751 | 0.270876 | − | 0.962614i | \(-0.412687\pi\) | ||||
0.270876 | + | 0.962614i | \(0.412687\pi\) | |||||||
\(542\) | −1.81801e11 | + | 3.70524e11i | −0.0904896 | + | 0.184425i | ||||
\(543\) | 2.18232e12 | − | 2.18232e12i | 1.07726 | − | 1.07726i | ||||
\(544\) | −2.20481e11 | − | 2.91619e12i | −0.107939 | − | 1.42764i | ||||
\(545\) | 2.34734e12 | − | 2.39324e12i | 1.13970 | − | 1.16199i | ||||
\(546\) | 1.39856e11 | + | 4.09309e11i | 0.0673466 | + | 0.197099i | ||||
\(547\) | 9.04234e10 | + | 9.04234e10i | 0.0431855 | + | 0.0431855i | 0.728370 | − | 0.685184i | \(-0.240278\pi\) |
−0.685184 | + | 0.728370i | \(0.740278\pi\) | |||||||
\(548\) | 6.97980e11 | + | 8.90485e10i | 0.330621 | + | 0.0421807i | ||||
\(549\) | 2.20864e12i | 1.03765i | ||||||||
\(550\) | 9.66516e11 | + | 4.51221e11i | 0.450378 | + | 0.210260i | ||||
\(551\) | 3.83243e12i | 1.77130i | ||||||||
\(552\) | 1.12928e11 | − | 2.31689e10i | 0.0517697 | − | 0.0106213i | ||||
\(553\) | −1.53714e11 | − | 1.53714e11i | −0.0698957 | − | 0.0698957i | ||||
\(554\) | 1.30145e12 | − | 4.44690e11i | 0.586993 | − | 0.200569i | ||||
\(555\) | 1.17742e12 | − | 1.20044e12i | 0.526760 | − | 0.537061i | ||||
\(556\) | −2.32566e12 | − | 3.00585e12i | −1.03207 | − | 1.33392i | ||||
\(557\) | −2.74652e12 | + | 2.74652e12i | −1.20902 | + | 1.20902i | −0.237679 | + | 0.971344i | \(0.576387\pi\) |
−0.971344 | + | 0.237679i | \(0.923613\pi\) | |||||||
\(558\) | 7.25832e12 | + | 3.56135e12i | 3.16944 | + | 1.55511i | ||||
\(559\) | 1.26969e12 | 0.549979 | ||||||||
\(560\) | 5.51203e11 | + | 1.37290e11i | 0.236846 | + | 0.0589919i | ||||
\(561\) | −3.05023e12 | −1.30017 | ||||||||
\(562\) | 3.72450e12 | + | 1.82746e12i | 1.57491 | + | 0.772740i | ||||
\(563\) | −1.98502e12 | + | 1.98502e12i | −0.832677 | + | 0.832677i | −0.987882 | − | 0.155206i | \(-0.950396\pi\) |
0.155206 | + | 0.987882i | \(0.450396\pi\) | |||||||
\(564\) | −1.49781e12 | − | 1.93588e12i | −0.623306 | − | 0.805607i | ||||
\(565\) | −1.74600e9 | − | 1.80309e11i | −0.000720818 | − | 0.0744388i | ||||
\(566\) | −4.04612e12 | + | 1.38251e12i | −1.65716 | + | 0.566234i | ||||
\(567\) | −9.04168e11 | − | 9.04168e11i | −0.367388 | − | 0.367388i | ||||
\(568\) | −2.72349e12 | + | 5.58765e11i | −1.09789 | + | 0.225249i | ||||
\(569\) | 9.22873e11i | 0.369094i | 0.982824 | + | 0.184547i | \(0.0590818\pi\) | ||||
−0.982824 | + | 0.184547i | \(0.940918\pi\) | |||||||
\(570\) | −5.58738e12 | − | 2.67468e12i | −2.21703 | − | 1.06129i | ||||
\(571\) | 5.78650e11i | 0.227800i | 0.993492 | + | 0.113900i | \(0.0363343\pi\) | ||||
−0.993492 | + | 0.113900i | \(0.963666\pi\) | |||||||
\(572\) | −5.89583e11 | − | 7.52191e10i | −0.230283 | − | 0.0293796i | ||||
\(573\) | 2.85468e12 | + | 2.85468e12i | 1.10627 | + | 1.10627i | ||||
\(574\) | −1.06904e11 | − | 3.12869e11i | −0.0411045 | − | 0.120298i | ||||
\(575\) | −5.46410e10 | − | 5.25646e10i | −0.0208456 | − | 0.0200534i | ||||
\(576\) | 2.43217e12 | + | 5.67784e12i | 0.920645 | + | 2.14923i | ||||
\(577\) | 1.82816e12 | − | 1.82816e12i | 0.686630 | − | 0.686630i | −0.274855 | − | 0.961486i | \(-0.588630\pi\) |
0.961486 | + | 0.274855i | \(0.0886299\pi\) | |||||||
\(578\) | 1.24088e12 | − | 2.52900e12i | 0.462437 | − | 0.942483i | ||||
\(579\) | −3.42759e11 | −0.126746 | ||||||||
\(580\) | −3.56372e12 | − | 4.19633e11i | −1.30761 | − | 0.153973i | ||||
\(581\) | 7.89197e11 | 0.287338 | ||||||||
\(582\) | 4.09614e11 | − | 8.34825e11i | 0.147986 | − | 0.301608i | ||||
\(583\) | 4.76211e11 | − | 4.76211e11i | 0.170723 | − | 0.170723i | ||||
\(584\) | −2.05150e12 | + | 3.11058e12i | −0.729818 | + | 1.10658i | ||||
\(585\) | 3.09331e12 | − | 2.99536e10i | 1.09200 | − | 0.0105742i | ||||
\(586\) | 1.42332e12 | + | 4.16556e12i | 0.498614 | + | 1.45926i | ||||
\(587\) | 2.29646e12 | + | 2.29646e12i | 0.798338 | + | 0.798338i | 0.982833 | − | 0.184496i | \(-0.0590652\pi\) |
−0.184496 | + | 0.982833i | \(0.559065\pi\) | |||||||
\(588\) | −6.30303e11 | + | 4.94045e12i | −0.217446 | + | 1.70439i | ||||
\(589\) | − | 5.93336e12i | − | 2.03134i | ||||||
\(590\) | 6.32417e11 | + | 1.79389e12i | 0.214867 | + | 0.609485i | ||||
\(591\) | − | 6.53062e12i | − | 2.20197i | ||||||
\(592\) | 6.23751e11 | + | 1.06066e12i | 0.208720 | + | 0.354917i | ||||
\(593\) | −3.11210e12 | − | 3.11210e12i | −1.03349 | − | 1.03349i | −0.999419 | − | 0.0340736i | \(-0.989152\pi\) |
−0.0340736 | − | 0.999419i | \(-0.510848\pi\) | |||||||
\(594\) | 3.48895e12 | − | 1.19214e12i | 1.14989 | − | 0.392905i | ||||
\(595\) | 7.62728e11 | + | 7.48098e11i | 0.249484 | + | 0.244699i | ||||
\(596\) | 2.08484e12 | − | 1.61306e12i | 0.676805 | − | 0.523651i | ||||
\(597\) | 4.40733e12 | − | 4.40733e12i | 1.42001 | − | 1.42001i | ||||
\(598\) | 3.79288e10 | + | 1.86101e10i | 0.0121287 | + | 0.00595105i | ||||
\(599\) | −6.02032e12 | −1.91073 | −0.955364 | − | 0.295432i | \(-0.904536\pi\) | ||||
−0.955364 | + | 0.295432i | \(0.904536\pi\) | |||||||
\(600\) | 3.09894e12 | − | 4.90276e12i | 0.976186 | − | 1.54440i | ||||
\(601\) | 4.37751e12 | 1.36865 | 0.684325 | − | 0.729177i | \(-0.260097\pi\) | ||||
0.684325 | + | 0.729177i | \(0.260097\pi\) | |||||||
\(602\) | −8.31472e11 | − | 4.07969e11i | −0.258026 | − | 0.126603i | ||||
\(603\) | −1.64145e12 | + | 1.64145e12i | −0.505590 | + | 0.505590i | ||||
\(604\) | −5.68287e11 | + | 4.39690e11i | −0.173741 | + | 0.134425i | ||||
\(605\) | −1.77140e12 | − | 1.73742e12i | −0.537547 | − | 0.527236i | ||||
\(606\) | −6.66315e12 | + | 2.27673e12i | −2.00703 | + | 0.685779i | ||||
\(607\) | −2.33910e12 | − | 2.33910e12i | −0.699358 | − | 0.699358i | 0.264914 | − | 0.964272i | \(-0.414656\pi\) |
−0.964272 | + | 0.264914i | \(0.914656\pi\) | |||||||
\(608\) | 2.95457e12 | − | 3.43788e12i | 0.876856 | − | 1.02029i | ||||
\(609\) | 1.99311e12i | 0.587156i | ||||||||
\(610\) | 5.04589e11 | + | 1.43130e12i | 0.147555 | + | 0.418549i | ||||
\(611\) | − | 8.97034e11i | − | 0.260389i | ||||||
\(612\) | −1.47022e12 | + | 1.15239e13i | −0.423643 | + | 3.32060i | ||||
\(613\) | 4.73820e11 | + | 4.73820e11i | 0.135532 | + | 0.135532i | 0.771618 | − | 0.636086i | \(-0.219448\pi\) |
−0.636086 | + | 0.771618i | \(0.719448\pi\) | |||||||
\(614\) | 6.78655e11 | + | 1.98618e12i | 0.192704 | + | 0.563975i | ||||
\(615\) | −3.37574e12 | + | 3.26886e10i | −0.951550 | + | 0.00921420i | ||||
\(616\) | 3.61925e11 | + | 2.38698e11i | 0.101276 | + | 0.0667938i | ||||
\(617\) | −3.02429e12 | + | 3.02429e12i | −0.840117 | + | 0.840117i | −0.988874 | − | 0.148757i | \(-0.952473\pi\) |
0.148757 | + | 0.988874i | \(0.452473\pi\) | |||||||
\(618\) | 2.49670e11 | − | 5.08846e11i | 0.0688522 | − | 0.140326i | ||||
\(619\) | 6.73202e12 | 1.84305 | 0.921526 | − | 0.388316i | \(-0.126943\pi\) | ||||
0.921526 | + | 0.388316i | \(0.126943\pi\) | |||||||
\(620\) | 5.51735e12 | + | 6.49675e11i | 1.49957 | + | 0.176577i | ||||
\(621\) | −2.62080e11 | −0.0707166 | ||||||||
\(622\) | 3.01228e12 | − | 6.13926e12i | 0.806935 | − | 1.64460i | ||||
\(623\) | −3.19427e11 | + | 3.19427e11i | −0.0849524 | + | 0.0849524i | ||||
\(624\) | −8.11445e11 | + | 3.12838e12i | −0.214254 | + | 0.826016i | ||||
\(625\) | −3.81184e12 | + | 1.47715e11i | −0.999250 | + | 0.0387226i | ||||
\(626\) | 1.03484e12 | + | 3.02861e12i | 0.269333 | + | 0.788240i | ||||
\(627\) | −3.34314e12 | − | 3.34314e12i | −0.863875 | − | 0.863875i | ||||
\(628\) | −4.75543e12 | − | 6.06698e11i | −1.22003 | − | 0.155652i | ||||
\(629\) | 2.31424e12i | 0.589497i | ||||||||
\(630\) | −2.03531e12 | − | 9.74303e11i | −0.514751 | − | 0.246412i | ||||
\(631\) | − | 3.34050e12i | − | 0.838842i | −0.907792 | − | 0.419421i | \(-0.862233\pi\) | ||
0.907792 | − | 0.419421i | \(-0.137767\pi\) | |||||||
\(632\) | −3.26443e11 | − | 1.59112e12i | −0.0813917 | − | 0.396713i | ||||
\(633\) | 5.06493e12 | + | 5.06493e12i | 1.25388 | + | 1.25388i | ||||
\(634\) | −3.23368e12 | + | 1.10491e12i | −0.794870 | + | 0.271598i | ||||
\(635\) | 2.27141e10 | + | 2.34568e12i | 0.00554387 | + | 0.572515i | ||||
\(636\) | −2.24092e12 | − | 2.89633e12i | −0.543087 | − | 0.701925i | ||||
\(637\) | −1.29066e12 | + | 1.29066e12i | −0.310589 | + | 0.310589i | ||||
\(638\) | −2.45873e12 | − | 1.20640e12i | −0.587514 | − | 0.288269i | ||||
\(639\) | 1.10441e13 | 2.62046 | ||||||||
\(640\) | 2.87332e12 | + | 3.12385e12i | 0.676978 | + | 0.736003i | ||||
\(641\) | −2.29892e12 | −0.537852 | −0.268926 | − | 0.963161i | \(-0.586669\pi\) | ||||
−0.268926 | + | 0.963161i | \(0.586669\pi\) | |||||||
\(642\) | 1.05436e12 | + | 5.17333e11i | 0.244953 | + | 0.120188i | ||||
\(643\) | −1.09154e12 | + | 1.09154e12i | −0.251821 | + | 0.251821i | −0.821717 | − | 0.569896i | \(-0.806983\pi\) |
0.569896 | + | 0.821717i | \(0.306983\pi\) | |||||||
\(644\) | −1.88584e10 | − | 2.43740e10i | −0.00432035 | − | 0.00558394i | ||||
\(645\) | −6.62182e12 | + | 6.75131e12i | −1.50646 | + | 1.53592i | ||||
\(646\) | 8.06770e12 | − | 2.75665e12i | 1.82265 | − | 0.622780i | ||||
\(647\) | −3.57327e12 | − | 3.57327e12i | −0.801672 | − | 0.801672i | 0.181684 | − | 0.983357i | \(-0.441845\pi\) |
−0.983357 | + | 0.181684i | \(0.941845\pi\) | |||||||
\(648\) | −1.92018e12 | − | 9.35921e12i | −0.427814 | − | 2.08522i | ||||
\(649\) | 1.45176e12i | 0.321213i | ||||||||
\(650\) | 1.99776e12 | − | 7.26112e11i | 0.438969 | − | 0.159549i | ||||
\(651\) | − | 3.08574e12i | − | 0.673355i | ||||||
\(652\) | −1.79452e12 | − | 2.28945e11i | −0.388897 | − | 0.0496155i | ||||
\(653\) | −2.56777e12 | − | 2.56777e12i | −0.552645 | − | 0.552645i | 0.374558 | − | 0.927203i | \(-0.377794\pi\) |
−0.927203 | + | 0.374558i | \(0.877794\pi\) | |||||||
\(654\) | −4.49837e12 | − | 1.31651e13i | −0.961514 | − | 2.81400i | ||||
\(655\) | 2.30111e11 | − | 2.34611e11i | 0.0488486 | − | 0.0498039i | ||||
\(656\) | 6.20254e11 | − | 2.39128e12i | 0.130768 | − | 0.504153i | ||||
\(657\) | 1.04665e13 | − | 1.04665e13i | 2.19157 | − | 2.19157i | ||||
\(658\) | −2.88228e11 | + | 5.87431e11i | −0.0599404 | + | 0.122163i | ||||
\(659\) | −6.71777e11 | −0.138753 | −0.0693763 | − | 0.997591i | \(-0.522101\pi\) | ||||
−0.0693763 | + | 0.997591i | \(0.522101\pi\) | |||||||
\(660\) | 3.47480e12 | − | 2.74268e12i | 0.712824 | − | 0.562637i | ||||
\(661\) | −4.23872e12 | −0.863631 | −0.431815 | − | 0.901962i | \(-0.642127\pi\) | ||||
−0.431815 | + | 0.901962i | \(0.642127\pi\) | |||||||
\(662\) | −3.52270e12 | + | 7.17954e12i | −0.712877 | + | 1.45290i | ||||
\(663\) | −4.29814e12 | + | 4.29814e12i | −0.863913 | + | 0.863913i | ||||
\(664\) | 4.92257e12 | + | 3.24655e12i | 0.982733 | + | 0.648136i | ||||
\(665\) | 1.60348e10 | + | 1.65591e12i | 0.00317955 | + | 0.328352i | ||||
\(666\) | −1.58043e12 | − | 4.62535e12i | −0.311273 | − | 0.910983i | ||||
\(667\) | 1.37657e11 | + | 1.37657e11i | 0.0269297 | + | 0.0269297i | ||||
\(668\) | 7.34842e10 | − | 5.75985e11i | 0.0142791 | − | 0.111922i | ||||
\(669\) | − | 3.62434e12i | − | 0.699539i | ||||||
\(670\) | −6.88725e11 | + | 1.43874e12i | −0.132041 | + | 0.275832i | ||||
\(671\) | 1.15832e12i | 0.220585i | ||||||||
\(672\) | 1.53657e12 | − | 1.78792e12i | 0.290663 | − | 0.338210i | ||||
\(673\) | −1.63158e12 | − | 1.63158e12i | −0.306577 | − | 0.306577i | 0.537003 | − | 0.843580i | \(-0.319556\pi\) |
−0.843580 | + | 0.537003i | \(0.819556\pi\) | |||||||
\(674\) | −7.36831e12 | + | 2.51767e12i | −1.37530 | + | 0.469926i | ||||
\(675\) | −9.14153e12 | + | 9.50264e12i | −1.69493 | + | 1.76188i | ||||
\(676\) | 3.35746e12 | − | 2.59770e12i | 0.618373 | − | 0.478441i | ||||
\(677\) | −2.09539e11 | + | 2.09539e11i | −0.0383368 | + | 0.0383368i | −0.726015 | − | 0.687678i | \(-0.758630\pi\) |
0.687678 | + | 0.726015i | \(0.258630\pi\) | |||||||
\(678\) | −6.71834e11 | − | 3.29641e11i | −0.122104 | − | 0.0599112i | ||||
\(679\) | −2.48589e11 | −0.0448816 | ||||||||
\(680\) | 1.67999e12 | + | 7.80388e12i | 0.301312 | + | 1.39965i | ||||
\(681\) | −2.45296e11 | −0.0437048 | ||||||||
\(682\) | 3.80661e12 | + | 1.86774e12i | 0.673765 | + | 0.330589i | ||||
\(683\) | 6.47193e12 | − | 6.47193e12i | 1.13800 | − | 1.13800i | 0.149186 | − | 0.988809i | \(-0.452335\pi\) |
0.988809 | − | 0.149186i | \(-0.0476655\pi\) | |||||||
\(684\) | −1.42419e13 | + | 1.10191e13i | −2.48780 | + | 1.92484i | ||||
\(685\) | −1.92054e12 | + | 1.85973e10i | −0.333285 | + | 0.00322733i | ||||
\(686\) | 2.59964e12 | − | 8.88267e11i | 0.448182 | − | 0.153139i | ||||
\(687\) | 1.08624e13 | + | 1.08624e13i | 1.86047 | + | 1.86047i | ||||
\(688\) | −3.50798e12 | − | 5.96514e12i | −0.596911 | − | 1.01502i | ||||
\(689\) | − | 1.34208e12i | − | 0.226877i | ||||||
\(690\) | −2.96765e11 | + | 1.04621e11i | −0.0498415 | + | 0.0175711i | ||||
\(691\) | − | 4.71192e12i | − | 0.786224i | −0.919491 | − | 0.393112i | \(-0.871398\pi\) | ||
0.919491 | − | 0.393112i | \(-0.128602\pi\) | |||||||
\(692\) | 1.48285e11 | − | 1.16229e12i | 0.0245822 | − | 0.192681i | ||||
\(693\) | −1.21780e12 | − | 1.21780e12i | −0.200575 | − | 0.200575i | ||||
\(694\) | 6.63623e11 | + | 1.94218e12i | 0.108594 | + | 0.317814i | ||||
\(695\) | 7.40604e12 | + | 7.26399e12i | 1.20408 | + | 1.18098i | ||||
\(696\) | −8.19914e12 | + | 1.24319e13i | −1.32442 | + | 2.00815i | ||||
\(697\) | 3.28543e12 | − | 3.28543e12i | 0.527284 | − | 0.527284i | ||||
\(698\) | 2.05339e12 | − | 4.18497e12i | 0.327433 | − | 0.667334i | ||||
\(699\) | 4.89238e12 | 0.775127 | ||||||||
\(700\) | −1.54156e12 | − | 1.66404e11i | −0.242672 | − | 0.0261952i | ||||
\(701\) | 4.93453e12 | 0.771818 | 0.385909 | − | 0.922537i | \(-0.373888\pi\) | ||||
0.385909 | + | 0.922537i | \(0.373888\pi\) | |||||||
\(702\) | 3.23649e12 | − | 6.59622e12i | 0.502988 | − | 1.02513i | ||||
\(703\) | −2.53648e12 | + | 2.53648e12i | −0.391681 | + | 0.391681i | ||||
\(704\) | 1.27555e12 | + | 2.97773e12i | 0.195713 | + | 0.456887i | ||||
\(705\) | 4.76977e12 | + | 4.67828e12i | 0.727188 | + | 0.713240i | ||||
\(706\) | −1.94029e12 | − | 5.67853e12i | −0.293931 | − | 0.860230i | ||||
\(707\) | 1.33103e12 | + | 1.33103e12i | 0.200355 | + | 0.200355i | ||||
\(708\) | 7.83059e12 | + | 9.99028e11i | 1.17124 | + | 0.149427i | ||||
\(709\) | 3.88215e12i | 0.576984i | 0.957482 | + | 0.288492i | \(0.0931539\pi\) | ||||
−0.957482 | + | 0.288492i | \(0.906846\pi\) | |||||||
\(710\) | 7.15709e12 | − | 2.52315e12i | 1.05700 | − | 0.372632i | ||||
\(711\) | 6.45220e12i | 0.946880i | ||||||||
\(712\) | −3.30645e12 | + | 6.78368e11i | −0.482172 | + | 0.0989249i | ||||
\(713\) | −2.13120e11 | − | 2.13120e11i | −0.0308832 | − | 0.0308832i | ||||
\(714\) | 4.19573e12 | − | 1.43364e12i | 0.604179 | − | 0.206441i | ||||
\(715\) | 1.62228e12 | − | 1.57091e10i | 0.232139 | − | 0.00224789i | ||||
\(716\) | 6.00183e12 | + | 7.75721e12i | 0.853444 | + | 1.10305i | ||||
\(717\) | −5.86480e12 | + | 5.86480e12i | −0.828738 | + | 0.828738i | ||||
\(718\) | 1.13066e13 | + | 5.54768e12i | 1.58771 | + | 0.779026i | ||||
\(719\) | −8.74554e12 | −1.22041 | −0.610206 | − | 0.792243i | \(-0.708913\pi\) | ||||
−0.610206 | + | 0.792243i | \(0.708913\pi\) | |||||||
\(720\) | −8.68708e12 | − | 1.44499e13i | −1.20470 | − | 2.00386i | ||||
\(721\) | −1.51521e11 | −0.0208817 | ||||||||
\(722\) | 5.30875e12 | + | 2.60478e12i | 0.727068 | + | 0.356742i | ||||
\(723\) | −5.95666e12 | + | 5.95666e12i | −0.810738 | + | 0.810738i | ||||
\(724\) | −3.77235e12 | − | 4.87567e12i | −0.510257 | − | 0.659494i | ||||
\(725\) | 9.79281e12 | − | 1.89673e11i | 1.31640 | − | 0.0254967i | ||||
\(726\) | −9.74436e12 | + | 3.32954e12i | −1.30178 | + | 0.444805i | ||||
\(727\) | 4.43190e12 | + | 4.43190e12i | 0.588417 | + | 0.588417i | 0.937203 | − | 0.348785i | \(-0.113406\pi\) |
−0.348785 | + | 0.937203i | \(0.613406\pi\) | |||||||
\(728\) | 8.46351e11 | − | 1.73642e11i | 0.111676 | − | 0.0229120i | ||||
\(729\) | 3.89106e12i | 0.510262i | ||||||||
\(730\) | 4.39156e12 | − | 9.17393e12i | 0.572356 | − | 1.19565i | ||||
\(731\) | − | 1.30153e13i | − | 1.68588i | ||||||
\(732\) | 6.24782e12 | + | 7.97098e11i | 0.804320 | + | 0.102615i | ||||
\(733\) | −5.97687e11 | − | 5.97687e11i | −0.0764726 | − | 0.0764726i | 0.667836 | − | 0.744309i | \(-0.267221\pi\) |
−0.744309 | + | 0.667836i | \(0.767221\pi\) | |||||||
\(734\) | −4.29431e12 | − | 1.25679e13i | −0.546087 | − | 1.59820i | ||||
\(735\) | −1.31636e11 | − | 1.35940e13i | −0.0166372 | − | 1.71812i | ||||
\(736\) | −1.73599e10 | − | 2.29610e11i | −0.00218071 | − | 0.0288430i | ||||
\(737\) | −8.60853e11 | + | 8.60853e11i | −0.107479 | + | 0.107479i | ||||
\(738\) | −4.32273e12 | + | 8.81006e12i | −0.536419 | + | 1.09326i | ||||
\(739\) | 2.05310e11 | 0.0253227 | 0.0126614 | − | 0.999920i | \(-0.495970\pi\) | ||||
0.0126614 | + | 0.999920i | \(0.495970\pi\) | |||||||
\(740\) | −2.08090e12 | − | 2.63637e12i | −0.255099 | − | 0.323194i | ||||
\(741\) | −9.42178e12 | −1.14802 | ||||||||
\(742\) | −4.31226e11 | + | 8.78873e11i | −0.0522261 | + | 0.106441i | ||||
\(743\) | 2.84605e12 | − | 2.84605e12i | 0.342605 | − | 0.342605i | −0.514741 | − | 0.857346i | \(-0.672112\pi\) |
0.857346 | + | 0.514741i | \(0.172112\pi\) | |||||||
\(744\) | 1.26939e13 | − | 1.92471e13i | 1.51886 | − | 2.30296i | ||||
\(745\) | −5.03824e12 | + | 5.13677e12i | −0.599206 | + | 0.610924i | ||||
\(746\) | −1.91912e12 | − | 5.61657e12i | −0.226870 | − | 0.663967i | ||||
\(747\) | −1.65634e13 | − | 1.65634e13i | −1.94629 | − | 1.94629i | ||||
\(748\) | −7.71053e11 | + | 6.04367e12i | −0.0900589 | + | 0.705901i | ||||
\(749\) | − | 3.13963e11i | − | 0.0364510i | ||||||
\(750\) | −6.55795e12 | + | 1.44095e13i | −0.756820 | + | 1.66293i | ||||
\(751\) | 1.14586e13i | 1.31448i | 0.753683 | + | 0.657239i | \(0.228276\pi\) | ||||
−0.753683 | + | 0.657239i | \(0.771724\pi\) | |||||||
\(752\) | −4.21435e12 | + | 2.47837e12i | −0.480563 | + | 0.282609i | ||||
\(753\) | 3.13312e12 | + | 3.13312e12i | 0.355140 | + | 0.355140i | ||||
\(754\) | −5.16461e12 | + | 1.76469e12i | −0.581924 | + | 0.198837i | ||||
\(755\) | 1.37333e12 | − | 1.40019e12i | 0.153820 | − | 0.156829i | ||||
\(756\) | −4.23889e12 | + | 3.27967e12i | −0.471959 | + | 0.365160i | ||||
\(757\) | −5.37979e12 | + | 5.37979e12i | −0.595435 | + | 0.595435i | −0.939094 | − | 0.343660i | \(-0.888333\pi\) |
0.343660 | + | 0.939094i | \(0.388333\pi\) | |||||||
\(758\) | −6.86869e12 | − | 3.37018e12i | −0.755723 | − | 0.370802i | ||||
\(759\) | −2.40164e11 | −0.0262676 | ||||||||
\(760\) | −6.71196e12 | + | 1.03946e13i | −0.729774 | + | 1.13018i | ||||
\(761\) | 1.29032e12 | 0.139466 | 0.0697329 | − | 0.997566i | \(-0.477785\pi\) | ||||
0.0697329 | + | 0.997566i | \(0.477785\pi\) | |||||||
\(762\) | 8.74004e12 | + | 4.28837e12i | 0.939109 | + | 0.460782i | ||||
\(763\) | −2.62986e12 | + | 2.62986e12i | −0.280914 | + | 0.280914i | ||||
\(764\) | 6.37784e12 | − | 4.93459e12i | 0.677257 | − | 0.524000i | ||||
\(765\) | −3.07048e11 | − | 3.17088e13i | −0.0324137 | − | 3.34736i | ||||
\(766\) | −6.77192e12 | + | 2.31389e12i | −0.710694 | + | 0.242836i | ||||
\(767\) | 2.04570e12 | + | 2.04570e12i | 0.213433 | + | 0.213433i | ||||
\(768\) | 1.69393e13 | − | 4.83101e12i | 1.75699 | − | 0.501086i | ||||
\(769\) | 6.36131e12i | 0.655961i | 0.944684 | + | 0.327981i | \(0.106368\pi\) | ||||
−0.944684 | + | 0.327981i | \(0.893632\pi\) | |||||||
\(770\) | −1.06741e12 | − | 5.10971e11i | −0.109427 | − | 0.0523827i | ||||
\(771\) | 4.87658e12i | 0.497016i | ||||||||
\(772\) | −8.66443e10 | + | 6.79136e11i | −0.00877935 | + | 0.0688143i | ||||
\(773\) | −1.27078e13 | − | 1.27078e13i | −1.28015 | − | 1.28015i | −0.940580 | − | 0.339573i | \(-0.889717\pi\) |
−0.339573 | − | 0.940580i | \(-0.610283\pi\) | |||||||
\(774\) | 8.88836e12 | + | 2.60130e13i | 0.890199 | + | 2.60529i | ||||
\(775\) | −1.51612e13 | + | 2.93651e11i | −1.50965 | + | 0.0292398i | ||||
\(776\) | −1.55056e12 | − | 1.02263e12i | −0.153501 | − | 0.101238i | ||||
\(777\) | −1.31913e12 | + | 1.31913e12i | −0.129836 | + | 0.129836i | ||||
\(778\) | −7.89483e12 | + | 1.60903e13i | −0.772564 | + | 1.57455i | ||||
\(779\) | 7.20185e12 | 0.700689 | ||||||||
\(780\) | 1.03164e12 | − | 8.76118e12i | 0.0997936 | − | 0.847495i | ||||
\(781\) | 5.79206e12 | 0.557062 | ||||||||
\(782\) | 1.90768e11 | − | 3.88799e11i | 0.0182421 | − | 0.0371788i | ||||
\(783\) | 2.39400e13 | − | 2.39400e13i | 2.27612 | − | 2.27612i | ||||
\(784\) | 9.62957e12 | + | 2.49774e12i | 0.910300 | + | 0.236116i | ||||
\(785\) | 1.30849e13 | − | 1.26706e11i | 1.22986 | − | 0.0119092i | ||||
\(786\) | −4.40979e11 | − | 1.29059e12i | −0.0412113 | − | 0.120611i | ||||
\(787\) | −1.08948e13 | − | 1.08948e13i | −1.01235 | − | 1.01235i | −0.999923 | − | 0.0124308i | \(-0.996043\pi\) |
−0.0124308 | − | 0.999923i | \(-0.503957\pi\) | |||||||
\(788\) | −1.29397e13 | − | 1.65084e12i | −1.19551 | − | 0.152524i | ||||
\(789\) | 2.18730e12i | 0.200938i | ||||||||
\(790\) | 1.47408e12 | + | 4.18132e12i | 0.134648 | + | 0.381937i | ||||
\(791\) | 2.00055e11i | 0.0181700i | ||||||||
\(792\) | −2.58625e12 | − | 1.26057e13i | −0.233565 | − | 1.13842i | ||||
\(793\) | 1.63221e12 | + | 1.63221e12i | 0.146570 | + | 0.146570i | ||||
\(794\) | −1.57342e13 | + | 5.37622e12i | −1.40493 | + | 0.480048i | ||||
\(795\) | 7.13619e12 | + | 6.99931e12i | 0.633599 | + | 0.621446i | ||||
\(796\) | −7.61849e12 | − | 9.84670e12i | −0.672605 | − | 0.869324i | ||||
\(797\) | 2.58756e12 | − | 2.58756e12i | 0.227158 | − | 0.227158i | −0.584346 | − | 0.811504i | \(-0.698649\pi\) |
0.811504 | + | 0.584346i | \(0.198649\pi\) | |||||||
\(798\) | 6.16995e12 | + | 3.02734e12i | 0.538603 | + | 0.264270i | ||||
\(799\) | −9.19528e12 | −0.798186 | ||||||||
\(800\) | −8.93087e12 | − | 7.37952e12i | −0.770883 | − | 0.636976i | ||||
\(801\) | 1.34081e13 | 1.15085 | ||||||||
\(802\) | −1.31695e13 | − | 6.46172e12i | −1.12405 | − | 0.551523i | ||||
\(803\) | 5.48912e12 | − | 5.48912e12i | 0.465889 | − | 0.465889i | ||||
\(804\) | 4.05094e12 | + | 5.23573e12i | 0.341903 | + | 0.441901i | ||||
\(805\) | 6.00545e10 | + | 5.89026e10i | 0.00504039 | + | 0.00494371i | ||||
\(806\) | 7.99585e12 | − | 2.73209e12i | 0.667355 | − | 0.228028i | ||||
\(807\) | −2.95160e12 | − | 2.95160e12i | −0.244977 | − | 0.244977i | ||||
\(808\) | 2.82672e12 | + | 1.37778e13i | 0.233309 | + | 1.13718i | ||||
\(809\) | 4.44051e12i | 0.364472i | 0.983255 | + | 0.182236i | \(0.0583335\pi\) | ||||
−0.983255 | + | 0.182236i | \(0.941666\pi\) | |||||||
\(810\) | 8.67074e12 | + | 2.45951e13i | 0.707740 | + | 2.00755i | ||||
\(811\) | − | 6.27504e12i | − | 0.509358i | −0.967026 | − | 0.254679i | \(-0.918030\pi\) | ||
0.967026 | − | 0.254679i | \(-0.0819697\pi\) | |||||||
\(812\) | 3.94911e12 | + | 5.03828e11i | 0.318785 | + | 0.0406706i | ||||
\(813\) | −3.30601e12 | − | 3.30601e12i | −0.265397 | − | 0.265397i | ||||
\(814\) | −8.28853e11 | − | 2.42575e12i | −0.0661710 | − | 0.193659i | ||||
\(815\) | 4.93775e12 | − | 4.78140e10i | 0.392030 | − | 0.00379617i | ||||
\(816\) | 3.20682e13 | + | 8.31793e12i | 2.53203 | + | 0.656764i | ||||
\(817\) | 1.42652e13 | − | 1.42652e13i | 1.12016 | − | 1.12016i | ||||
\(818\) | 4.00831e12 | − | 8.16925e12i | 0.313020 | − | 0.637958i | ||||
\(819\) | −3.43206e12 | −0.266549 | ||||||||
\(820\) | −7.88568e11 | + | 6.69690e12i | −0.0609084 | + | 0.517263i | ||||
\(821\) | 6.38476e12 | 0.490456 | 0.245228 | − | 0.969465i | \(-0.421137\pi\) | ||||
0.245228 | + | 0.969465i | \(0.421137\pi\) | |||||||
\(822\) | −3.51114e12 | + | 7.15598e12i | −0.268241 | + | 0.546696i | ||||
\(823\) | −1.33274e13 | + | 1.33274e13i | −1.01262 | + | 1.01262i | −0.0127033 | + | 0.999919i | \(0.504044\pi\) |
−0.999919 | + | 0.0127033i | \(0.995956\pi\) | |||||||
\(824\) | −9.45106e11 | − | 6.23319e11i | −0.0714180 | − | 0.0471019i | ||||
\(825\) | −8.37711e12 | + | 8.70803e12i | −0.629581 | + | 0.654451i | ||||
\(826\) | −6.82337e11 | − | 1.99695e12i | −0.0510022 | − | 0.149265i | ||||
\(827\) | 9.72206e12 | + | 9.72206e12i | 0.722742 | + | 0.722742i | 0.969163 | − | 0.246421i | \(-0.0792545\pi\) |
−0.246421 | + | 0.969163i | \(0.579254\pi\) | |||||||
\(828\) | −1.15760e11 | + | 9.07349e11i | −0.00855896 | + | 0.0670869i | ||||
\(829\) | 6.28234e12i | 0.461983i | 0.972956 | + | 0.230992i | \(0.0741970\pi\) | ||||
−0.972956 | + | 0.230992i | \(0.925803\pi\) | |||||||
\(830\) | −1.45180e13 | − | 6.94975e12i | −1.06183 | − | 0.508297i | ||||
\(831\) | 1.55799e13i | 1.13334i | ||||||||
\(832\) | 5.99338e12 | + | 2.39859e12i | 0.433628 | + | 0.173540i | ||||
\(833\) | 1.32303e13 | + | 1.32303e13i | 0.952065 | + | 0.952065i | ||||
\(834\) | 4.07403e13 | − | 1.39205e13i | 2.91593 | − | 0.996341i | ||||
\(835\) | 1.53468e10 | + | 1.58486e12i | 0.00109252 | + | 0.112824i | ||||
\(836\) | −7.46914e12 | + | 5.77894e12i | −0.528862 | + | 0.409186i | ||||
\(837\) | −3.70638e13 | + | 3.70638e13i | −2.61027 | + | 2.61027i | ||||
\(838\) | −1.36429e13 | − | 6.69400e12i | −0.955671 | − | 0.468908i | ||||
\(839\) | −1.27012e13 | −0.884942 | −0.442471 | − | 0.896783i | \(-0.645898\pi\) | ||||
−0.442471 | + | 0.896783i | \(0.645898\pi\) | |||||||
\(840\) | −3.49066e12 | + | 5.40587e12i | −0.241908 | + | 0.374635i | ||||
\(841\) | −1.06417e13 | −0.733548 | ||||||||
\(842\) | −1.37872e13 | − | 6.76480e12i | −0.945304 | − | 0.463821i | ||||
\(843\) | −3.32319e13 | + | 3.32319e13i | −2.26637 | + | 2.26637i | ||||
\(844\) | 1.13159e13 | − | 8.75522e12i | 0.767623 | − | 0.593917i | ||||
\(845\) | −8.11368e12 | + | 8.27235e12i | −0.547473 | + | 0.558179i | ||||
\(846\) | 1.83781e13 | − | 6.27959e12i | 1.23348 | − | 0.421468i | ||||
\(847\) | 1.94654e12 | + | 1.94654e12i | 0.129953 | + | 0.129953i | ||||
\(848\) | −6.30520e12 | + | 3.70796e12i | −0.418714 | + | 0.246238i | ||||
\(849\) | − | 4.84371e13i | − | 3.19958i | ||||||
\(850\) | −7.44320e12 | − | 2.04786e13i | −0.489074 | − | 1.34560i | ||||
\(851\) | 1.82215e11i | 0.0119097i | ||||||||
\(852\) | 3.98582e12 | − | 3.12417e13i | 0.259143 | − | 2.03122i | ||||
\(853\) | 1.33812e13 | + | 1.33812e13i | 0.865415 | + | 0.865415i | 0.991961 | − | 0.126546i | \(-0.0403892\pi\) |
−0.126546 | + | 0.991961i | \(0.540389\pi\) | |||||||
\(854\) | −5.44419e11 | − | 1.59332e12i | −0.0350246 | − | 0.102504i | ||||
\(855\) | 3.44172e13 | − | 3.50902e13i | 2.20256 | − | 2.24563i | ||||
\(856\) | 1.29156e12 | − | 1.95832e12i | 0.0822210 | − | 0.124667i | ||||
\(857\) | 1.94159e12 | − | 1.94159e12i | 0.122954 | − | 0.122954i | −0.642952 | − | 0.765906i | \(-0.722291\pi\) |
0.765906 | + | 0.642952i | \(0.222291\pi\) | |||||||
\(858\) | 2.96585e12 | − | 6.04464e12i | 0.186834 | − | 0.380783i | ||||
\(859\) | 1.64722e13 | 1.03224 | 0.516122 | − | 0.856515i | \(-0.327375\pi\) | ||||
0.516122 | + | 0.856515i | \(0.327375\pi\) | |||||||
\(860\) | 1.17030e13 | + | 1.48270e13i | 0.729550 | + | 0.924292i | ||||
\(861\) | 3.74543e12 | 0.232267 | ||||||||
\(862\) | −7.66422e12 | + | 1.56203e13i | −0.472808 | + | 0.963621i | ||||
\(863\) | 4.23202e12 | − | 4.23202e12i | 0.259716 | − | 0.259716i | −0.565222 | − | 0.824939i | \(-0.691210\pi\) |
0.824939 | + | 0.565222i | \(0.191210\pi\) | |||||||
\(864\) | −3.99316e13 | + | 3.01907e12i | −2.43784 | + | 0.184315i | ||||
\(865\) | 3.09687e10 | + | 3.19813e12i | 0.00188083 | + | 0.194233i | ||||
\(866\) | 8.66565e12 | + | 2.53612e13i | 0.523565 | + | 1.53228i | ||||
\(867\) | 2.25651e13 | + | 2.25651e13i | 1.35628 | + | 1.35628i | ||||
\(868\) | −6.11402e12 | − | 7.80027e11i | −0.365585 | − | 0.0466413i | ||||
\(869\) | 3.38385e12i | 0.201290i | ||||||||
\(870\) | 1.75516e13 | − | 3.66650e13i | 1.03867 | − | 2.16978i | ||||
\(871\) | 2.42609e12i | 0.142832i | ||||||||
\(872\) | −2.72222e13 | + | 5.58505e12i | −1.59441 | + | 0.327117i | ||||
\(873\) | 5.21732e12 | + | 5.21732e12i | 0.304007 | + | 0.304007i | ||||
\(874\) | 6.35222e11 | − | 2.17049e11i | 0.0368234 | − | 0.0125822i | ||||
\(875\) | 4.23047e12 | − | 1.22926e11i | 0.243979 | − | 0.00708938i | ||||
\(876\) | −2.58303e13 | − | 3.33850e13i | −1.48204 | − | 1.91550i | ||||
\(877\) | 1.07720e13 | − | 1.07720e13i | 0.614889 | − | 0.614889i | −0.329327 | − | 0.944216i | \(-0.606822\pi\) |
0.944216 | + | 0.329327i | \(0.106822\pi\) | |||||||
\(878\) | 8.92177e12 | + | 4.37754e12i | 0.506671 | + | 0.248602i | ||||
\(879\) | −4.98669e13 | −2.81749 | ||||||||
\(880\) | −4.55592e12 | − | 7.57821e12i | −0.256097 | − | 0.425985i | ||||
\(881\) | −2.80989e12 | −0.157144 | −0.0785720 | − | 0.996908i | \(-0.525036\pi\) | ||||
−0.0785720 | + | 0.996908i | \(0.525036\pi\) | |||||||
\(882\) | −3.54778e13 | − | 1.74075e13i | −1.97400 | − | 0.968560i | ||||
\(883\) | 2.03931e13 | − | 2.03931e13i | 1.12891 | − | 1.12891i | 0.138556 | − | 0.990355i | \(-0.455754\pi\) |
0.990355 | − | 0.138556i | \(-0.0442460\pi\) | |||||||
\(884\) | 7.42976e12 | + | 9.60277e12i | 0.409203 | + | 0.528885i | ||||
\(885\) | −2.15464e13 | + | 2.08642e11i | −1.18068 | + | 0.0114329i | ||||
\(886\) | 2.80187e13 | − | 9.57369e12i | 1.52755 | − | 0.521948i | ||||
\(887\) | 1.62930e13 | + | 1.62930e13i | 0.883783 | + | 0.883783i | 0.993917 | − | 0.110133i | \(-0.0351278\pi\) |
−0.110133 | + | 0.993917i | \(0.535128\pi\) | |||||||
\(888\) | −1.36546e13 | + | 2.80145e12i | −0.736920 | + | 0.151190i | ||||
\(889\) | − | 2.60256e12i | − | 0.139747i | ||||||
\(890\) | 8.68905e12 | − | 3.06323e12i | 0.464213 | − | 0.163653i | ||||
\(891\) | 1.99043e13i | 1.05803i | ||||||||
\(892\) | −7.18121e12 | − | 9.16179e11i | −0.379800 | − | 0.0484550i | ||||
\(893\) | −1.00783e13 | − | 1.00783e13i | −0.530341 | − | 0.530341i | ||||
\(894\) | 9.65515e12 | + | 2.82571e13i | 0.505522 | + | 1.47948i | ||||
\(895\) | −1.91128e13 | − | 1.87462e13i | −0.995681 | − | 0.976583i | ||||
\(896\) | −3.15413e12 | − | 3.49649e12i | −0.163491 | − | 0.181237i | ||||
\(897\) | −3.38421e11 | + | 3.38421e11i | −0.0174538 | + | 0.0174538i | ||||
\(898\) | 1.21366e13 | − | 2.47353e13i | 0.622805 | − | 1.26933i | ||||
\(899\) | 3.89354e13 | 1.98804 | ||||||||
\(900\) | 2.88614e13 | + | 3.58463e13i | 1.46631 | + | 1.82118i | ||||
\(901\) | −1.37573e13 | −0.695460 | ||||||||
\(902\) | −2.26705e12 | + | 4.62042e12i | −0.114033 | + | 0.232408i | ||||
\(903\) | 7.41883e12 | − | 7.41883e12i | 0.371313 | − | 0.371313i | ||||
\(904\) | −8.22974e11 | + | 1.24783e12i | −0.0409853 | + | 0.0621438i | ||||
\(905\) | 1.20130e13 | + | 1.17826e13i | 0.595298 | + | 0.583879i | ||||
\(906\) | −2.63182e12 | − | 7.70237e12i | −0.129771 | − | 0.379794i | ||||
\(907\) | 5.25120e12 | + | 5.25120e12i | 0.257647 | + | 0.257647i | 0.824097 | − | 0.566449i | \(-0.191683\pi\) |
−0.566449 | + | 0.824097i | \(0.691683\pi\) | |||||||
\(908\) | −6.20072e10 | + | 4.86025e11i | −0.00302730 | + | 0.0237286i | ||||
\(909\) | − | 5.58706e13i | − | 2.71422i | ||||||
\(910\) | −2.22413e12 | + | 7.84093e11i | −0.107516 | + | 0.0379037i | ||||
\(911\) | 1.60762e12i | 0.0773306i | 0.999252 | + | 0.0386653i | \(0.0123106\pi\) | ||||
−0.999252 | + | 0.0386653i | \(0.987689\pi\) | |||||||
\(912\) | 2.60310e13 | + | 4.42644e13i | 1.24599 | + | 2.11874i | ||||
\(913\) | −8.68665e12 | − | 8.68665e12i | −0.413746 | − | 0.413746i | ||||
\(914\) | −1.65199e13 | + | 5.64466e12i | −0.782977 | + | 0.267535i | ||||
\(915\) | −1.71913e13 | + | 1.66470e11i | −0.810801 | + | 0.00785129i | ||||
\(916\) | 2.42685e13 | − | 1.87768e13i | 1.13897 | − | 0.881233i | ||||
\(917\) | −2.57808e11 | + | 2.57808e11i | −0.0120402 | + | 0.0120402i | ||||
\(918\) | −6.76163e13 | − | 3.31765e13i | −3.14238 | − | 1.54184i | ||||
\(919\) | −1.16958e13 | −0.540891 | −0.270445 | − | 0.962735i | \(-0.587171\pi\) | ||||
−0.270445 | + | 0.962735i | \(0.587171\pi\) | |||||||
\(920\) | 1.32277e11 | + | 6.14450e11i | 0.00608748 | + | 0.0282775i | ||||
\(921\) | −2.37770e13 | −1.08890 | ||||||||
\(922\) | 3.11908e13 | + | 1.53040e13i | 1.42147 | + | 0.697456i | ||||
\(923\) | 8.16171e12 | − | 8.16171e12i | 0.370146 | − | 0.370146i | ||||
\(924\) | −3.88444e12 | + | 3.00543e12i | −0.175309 | + | 0.135638i | ||||
\(925\) | 6.60687e12 | + | 6.35580e12i | 0.296728 | + | 0.285452i | ||||
\(926\) | −3.07459e13 | + | 1.05055e13i | −1.37416 | + | 0.469535i | ||||
\(927\) | 3.18008e12 | + | 3.18008e12i | 0.141442 | + | 0.141442i | ||||
\(928\) | 2.25598e13 | + | 1.93882e13i | 0.998547 | + | 0.858168i | ||||
\(929\) | 3.76597e13i | 1.65884i | 0.558622 | + | 0.829422i | \(0.311330\pi\) | ||||
−0.558622 | + | 0.829422i | \(0.688670\pi\) | |||||||
\(930\) | −2.71733e13 | + | 5.67647e13i | −1.19116 | + | 2.48832i | ||||
\(931\) | 2.90015e13i | 1.26517i | ||||||||
\(932\) | 1.23672e12 | − | 9.69366e12i | 0.0536907 | − | 0.420839i | ||||
\(933\) | 5.47777e13 | + | 5.47777e13i | 2.36666 | + | 2.36666i | ||||
\(934\) | −5.05636e12 | − | 1.47981e13i | −0.217409 | − | 0.636276i | ||||
\(935\) | −1.61030e11 | − | 1.66296e13i | −0.00689058 | − | 0.711589i | ||||
\(936\) | −2.14073e13 | − | 1.41186e13i | −0.911634 | − | 0.601244i | ||||
\(937\) | 7.38485e12 | − | 7.38485e12i | 0.312978 | − | 0.312978i | −0.533084 | − | 0.846062i | \(-0.678967\pi\) |
0.846062 | + | 0.533084i | \(0.178967\pi\) | |||||||
\(938\) | 7.79533e11 | − | 1.58875e12i | 0.0328792 | − | 0.0670105i | ||||
\(939\) | −3.62562e13 | −1.52190 | ||||||||
\(940\) | 1.04752e13 | − | 8.26814e12i | 0.437609 | − | 0.345408i | ||||
\(941\) | −1.15017e13 | −0.478200 | −0.239100 | − | 0.970995i | \(-0.576852\pi\) | ||||
−0.239100 | + | 0.970995i | \(0.576852\pi\) | |||||||
\(942\) | 2.39218e13 | − | 4.87546e13i | 0.989841 | − | 2.01737i | ||||
\(943\) | 2.58683e11 | − | 2.58683e11i | 0.0106528 | − | 0.0106528i | ||||
\(944\) | 3.95891e12 | − | 1.52628e13i | 0.162256 | − | 0.625549i | ||||
\(945\) | 1.02438e13 | − | 1.04441e13i | 0.417847 | − | 0.426018i | ||||
\(946\) | 4.66148e12 | + | 1.36425e13i | 0.189240 | + | 0.553838i | ||||
\(947\) | −3.28911e13 | − | 3.28911e13i | −1.32894 | − | 1.32894i | −0.906300 | − | 0.422636i | \(-0.861105\pi\) |
−0.422636 | − | 0.906300i | \(-0.638895\pi\) | |||||||
\(948\) | 1.82521e13 | + | 2.32860e12i | 0.733963 | + | 0.0936391i | ||||
\(949\) | − | 1.54696e13i | − | 0.619131i | ||||||
\(950\) | 1.42871e13 | − | 3.06031e13i | 0.569101 | − | 1.21901i | ||||
\(951\) | − | 3.87112e13i | − | 1.53470i | ||||||
\(952\) | −1.77996e12 | − | 8.67574e12i | −0.0702334 | − | 0.342326i | ||||
\(953\) | −2.04121e13 | − | 2.04121e13i | −0.801622 | − | 0.801622i | 0.181727 | − | 0.983349i | \(-0.441831\pi\) |
−0.983349 | + | 0.181727i | \(0.941831\pi\) | |||||||
\(954\) | 2.74959e13 | − | 9.39506e12i | 1.07473 | − | 0.367225i | ||||
\(955\) | −1.54128e13 | + | 1.57142e13i | −0.599605 | + | 0.611331i | ||||
\(956\) | 1.01379e13 | + | 1.31029e13i | 0.392542 | + | 0.507350i | ||||
\(957\) | 2.19381e13 | − | 2.19381e13i | 0.845464 | − | 0.845464i | ||||
\(958\) | 7.67116e12 | + | 3.76392e12i | 0.294250 | + | 0.144376i | ||||
\(959\) | 2.13087e12 | 0.0813528 | ||||||||
\(960\) | −4.40111e13 | + | 1.93591e13i | −1.67241 | + | 0.735640i | ||||
\(961\) | −3.38402e13 | −1.27990 | ||||||||
\(962\) | −4.58613e12 | − | 2.25022e12i | −0.172647 | − | 0.0847106i | ||||
\(963\) | −6.58935e12 | + | 6.58935e12i | −0.246902 | + | 0.246902i | ||||
\(964\) | 1.02967e13 | + | 1.33082e13i | 0.384016 | + | 0.496331i | ||||
\(965\) | −1.80952e10 | − | 1.86869e12i | −0.000671724 | − | 0.0693689i | ||||
\(966\) | 3.30357e11 | − | 1.12879e11i | 0.0122064 | − | 0.00417078i | ||||
\(967\) | 4.58431e12 | + | 4.58431e12i | 0.168599 | + | 0.168599i | 0.786363 | − | 0.617764i | \(-0.211961\pi\) |
−0.617764 | + | 0.786363i | \(0.711961\pi\) | |||||||
\(968\) | 4.13386e12 | + | 2.01490e13i | 0.151327 | + | 0.737587i | ||||
\(969\) | 9.65805e13i | 3.51911i | ||||||||
\(970\) | 4.57302e12 | + | 2.18911e12i | 0.165856 | + | 0.0793951i | ||||
\(971\) | − | 3.13384e13i | − | 1.13133i | −0.824634 | − | 0.565667i | \(-0.808619\pi\) | ||
0.824634 | − | 0.565667i | \(-0.191381\pi\) | |||||||
\(972\) | 3.98719e13 | + | 5.08687e12i | 1.43275 | + | 0.182790i | ||||
\(973\) | −8.13829e12 | − | 8.13829e12i | −0.291089 | − | 0.291089i | ||||
\(974\) | 1.12445e13 | + | 3.29086e13i | 0.400337 | + | 1.17164i | ||||
\(975\) | 4.66298e11 | + | 2.40750e13i | 0.0165251 | + | 0.853190i | ||||
\(976\) | 3.15871e12 | − | 1.21778e13i | 0.111426 | − | 0.429581i | ||||
\(977\) | −1.55974e12 | + | 1.55974e12i | −0.0547681 | + | 0.0547681i | −0.733960 | − | 0.679192i | \(-0.762330\pi\) |
0.679192 | + | 0.733960i | \(0.262330\pi\) | |||||||
\(978\) | 9.02720e12 | − | 1.83981e13i | 0.315521 | − | 0.643057i | ||||
\(979\) | 7.03184e12 | 0.244651 | ||||||||
\(980\) | −2.69681e13 | − | 3.17553e12i | −0.933971 | − | 0.109976i | ||||
\(981\) | 1.10390e14 | 3.80555 | ||||||||
\(982\) | −5.93340e12 | + | 1.20927e13i | −0.203611 | + | 0.414975i | ||||
\(983\) | 8.72591e12 | − | 8.72591e12i | 0.298071 | − | 0.298071i | −0.542187 | − | 0.840258i | \(-0.682403\pi\) |
0.840258 | + | 0.542187i | \(0.182403\pi\) | |||||||
\(984\) | 2.33619e13 | + | 1.54077e13i | 0.794383 | + | 0.523915i | ||||
\(985\) | 3.56044e13 | − | 3.44770e11i | 1.20515 | − | 0.0116699i | ||||
\(986\) | 1.80894e13 | + | 5.29412e13i | 0.609507 | + | 1.78381i | ||||
\(987\) | −5.24137e12 | − | 5.24137e12i | −0.175799 | − | 0.175799i | ||||
\(988\) | −2.38168e12 | + | 1.86681e13i | −0.0795203 | + | 0.623297i | ||||
\(989\) | − | 1.02478e12i | − | 0.0340603i | ||||||
\(990\) | 1.16784e13 | + | 3.31266e13i | 0.386390 | + | 1.09602i | ||||
\(991\) | 3.65275e13i | 1.20306i | 0.798849 | + | 0.601531i | \(0.205442\pi\) | ||||
−0.798849 | + | 0.601531i | \(0.794558\pi\) | |||||||
\(992\) | −3.49270e13 | − | 3.00169e13i | −1.14514 | − | 0.984153i | ||||
\(993\) | −6.40595e13 | − | 6.40595e13i | −2.09080 | − | 2.09080i | ||||
\(994\) | −7.96723e12 | + | 2.72232e12i | −0.258862 | + | 0.0884504i | ||||
\(995\) | 2.42610e13 | + | 2.37957e13i | 0.784703 | + | 0.769652i | ||||
\(996\) | −5.28325e13 | + | 4.08770e13i | −1.70112 | + | 1.31617i | ||||
\(997\) | −5.91654e12 | + | 5.91654e12i | −0.189644 | + | 0.189644i | −0.795542 | − | 0.605898i | \(-0.792814\pi\) |
0.605898 | + | 0.795542i | \(0.292814\pi\) | |||||||
\(998\) | 1.13992e13 | + | 5.59313e12i | 0.363738 | + | 0.178471i | ||||
\(999\) | 3.16892e13 | 1.00662 |
(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 | 20.10.e.b.3.20 | yes | 48 | |
4.3 | odd | 2 | inner | 20.10.e.b.3.7 | ✓ | 48 | |
5.2 | odd | 4 | inner | 20.10.e.b.7.7 | yes | 48 | |
5.3 | odd | 4 | 100.10.e.e.7.18 | 48 | |||
5.4 | even | 2 | 100.10.e.e.43.5 | 48 | |||
20.3 | even | 4 | 100.10.e.e.7.5 | 48 | |||
20.7 | even | 4 | inner | 20.10.e.b.7.20 | yes | 48 | |
20.19 | odd | 2 | 100.10.e.e.43.18 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.10.e.b.3.7 | ✓ | 48 | 4.3 | odd | 2 | inner | |
20.10.e.b.3.20 | yes | 48 | 1.1 | even | 1 | trivial | |
20.10.e.b.7.7 | yes | 48 | 5.2 | odd | 4 | inner | |
20.10.e.b.7.20 | yes | 48 | 20.7 | even | 4 | inner | |
100.10.e.e.7.5 | 48 | 20.3 | even | 4 | |||
100.10.e.e.7.18 | 48 | 5.3 | odd | 4 | |||
100.10.e.e.43.5 | 48 | 5.4 | even | 2 | |||
100.10.e.e.43.18 | 48 | 20.19 | odd | 2 |