Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [24,8,Mod(11,24)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(24, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("24.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 24 = 2^{3} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 24.f (of order \(2\), degree \(1\), 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: | \(7.49724061162\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 274 x^{18} + 45864 x^{16} - 5031360 x^{14} + 776389632 x^{12} - 102828146688 x^{10} + 12720367730688 x^{8} + \cdots + 11\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{52}\cdot 3^{20} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(10.4702 + 4.28654i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 24.11 |
Dual form | 24.8.f.c.11.3 |
$q$-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 \(\left(\mathbb{Z}/24\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(13\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.4702 | + | 4.28654i | −0.925446 | + | 0.378881i | ||||
\(3\) | −24.1914 | + | 40.0222i | −0.517292 | + | 0.855809i | ||||
\(4\) | 91.2511 | − | 89.7621i | 0.712899 | − | 0.701267i | ||||
\(5\) | 477.520 | 1.70843 | 0.854214 | − | 0.519922i | \(-0.174039\pi\) | ||||
0.854214 | + | 0.519922i | \(0.174039\pi\) | |||||||
\(6\) | 81.7320 | − | 522.739i | 0.154477 | − | 0.987996i | ||||
\(7\) | 632.635i | 0.697124i | 0.937286 | + | 0.348562i | \(0.113330\pi\) | ||||
−0.937286 | + | 0.348562i | \(0.886670\pi\) | |||||||
\(8\) | −570.650 | + | 1330.98i | −0.394053 | + | 0.919088i | ||||
\(9\) | −1016.56 | − | 1936.38i | −0.464817 | − | 0.885407i | ||||
\(10\) | −4999.74 | + | 2046.91i | −1.58106 | + | 0.647290i | ||||
\(11\) | 4849.09i | 1.09846i | 0.835670 | + | 0.549232i | \(0.185080\pi\) | ||||
−0.835670 | + | 0.549232i | \(0.814920\pi\) | |||||||
\(12\) | 1384.99 | + | 5823.54i | 0.231373 | + | 0.972865i | ||||
\(13\) | − | 3229.57i | − | 0.407702i | −0.979002 | − | 0.203851i | \(-0.934654\pi\) | ||
0.979002 | − | 0.203851i | \(-0.0653458\pi\) | |||||||
\(14\) | −2711.82 | − | 6623.83i | −0.264127 | − | 0.645151i | ||||
\(15\) | −11551.9 | + | 19111.4i | −0.883756 | + | 1.46209i | ||||
\(16\) | 269.517 | − | 16381.8i | 0.0164500 | − | 0.999865i | ||||
\(17\) | 32288.3i | 1.59395i | 0.604013 | + | 0.796974i | \(0.293568\pi\) | ||||
−0.604013 | + | 0.796974i | \(0.706432\pi\) | |||||||
\(18\) | 18944.0 | + | 15916.9i | 0.765626 | + | 0.643285i | ||||
\(19\) | −21527.2 | −0.720029 | −0.360014 | − | 0.932947i | \(-0.617228\pi\) | ||||
−0.360014 | + | 0.932947i | \(0.617228\pi\) | |||||||
\(20\) | 43574.2 | − | 42863.2i | 1.21794 | − | 1.19806i | ||||
\(21\) | −25319.5 | − | 15304.3i | −0.596605 | − | 0.360617i | ||||
\(22\) | −20785.8 | − | 50771.1i | −0.416187 | − | 1.01657i | ||||
\(23\) | −5755.11 | −0.0986294 | −0.0493147 | − | 0.998783i | \(-0.515704\pi\) | ||||
−0.0493147 | + | 0.998783i | \(0.515704\pi\) | |||||||
\(24\) | −39464.0 | − | 55036.9i | −0.582723 | − | 0.812671i | ||||
\(25\) | 149900. | 1.91872 | ||||||||
\(26\) | 13843.7 | + | 33814.3i | 0.154470 | + | 0.377306i | ||||
\(27\) | 102090. | + | 6159.01i | 0.998185 | + | 0.0602195i | ||||
\(28\) | 56786.7 | + | 57728.6i | 0.488870 | + | 0.496979i | ||||
\(29\) | −131879. | −1.00412 | −0.502058 | − | 0.864834i | \(-0.667424\pi\) | ||||
−0.502058 | + | 0.864834i | \(0.667424\pi\) | |||||||
\(30\) | 39028.7 | − | 249618.i | 0.263912 | − | 1.68792i | ||||
\(31\) | 147516.i | 0.889354i | 0.895691 | + | 0.444677i | \(0.146682\pi\) | ||||
−0.895691 | + | 0.444677i | \(0.853318\pi\) | |||||||
\(32\) | 67399.3 | + | 172676.i | 0.363606 | + | 0.931553i | ||||
\(33\) | −194071. | − | 117306.i | −0.940075 | − | 0.568227i | ||||
\(34\) | −138405. | − | 338066.i | −0.603916 | − | 1.47511i | ||||
\(35\) | 302096.i | 1.19099i | ||||||||
\(36\) | −266576. | − | 85449.0i | −0.952274 | − | 0.305245i | ||||
\(37\) | 19019.9i | 0.0617309i | 0.999524 | + | 0.0308655i | \(0.00982634\pi\) | ||||
−0.999524 | + | 0.0308655i | \(0.990174\pi\) | |||||||
\(38\) | 225395. | − | 92277.3i | 0.666347 | − | 0.272805i | ||||
\(39\) | 129254. | + | 78127.7i | 0.348915 | + | 0.210901i | ||||
\(40\) | −272496. | + | 635570.i | −0.673211 | + | 1.57019i | ||||
\(41\) | 42800.6i | 0.0969855i | 0.998824 | + | 0.0484927i | \(0.0154418\pi\) | ||||
−0.998824 | + | 0.0484927i | \(0.984558\pi\) | |||||||
\(42\) | 330703. | + | 51706.5i | 0.688756 | + | 0.107689i | ||||
\(43\) | −325765. | −0.624834 | −0.312417 | − | 0.949945i | \(-0.601139\pi\) | ||||
−0.312417 | + | 0.949945i | \(0.601139\pi\) | |||||||
\(44\) | 435265. | + | 442485.i | 0.770316 | + | 0.783094i | ||||
\(45\) | −485425. | − | 924662.i | −0.794106 | − | 1.51265i | ||||
\(46\) | 60257.3 | − | 24669.6i | 0.0912762 | − | 0.0373688i | ||||
\(47\) | 976107. | 1.37137 | 0.685686 | − | 0.727898i | \(-0.259502\pi\) | ||||
0.685686 | + | 0.727898i | \(0.259502\pi\) | |||||||
\(48\) | 649115. | + | 407084.i | 0.847183 | + | 0.531300i | ||||
\(49\) | 423316. | 0.514018 | ||||||||
\(50\) | −1.56949e6 | + | 642554.i | −1.77567 | + | 0.726967i | ||||
\(51\) | −1.29225e6 | − | 781099.i | −1.36412 | − | 0.824538i | ||||
\(52\) | −289893. | − | 294702.i | −0.285908 | − | 0.290650i | ||||
\(53\) | 554605. | 0.511703 | 0.255852 | − | 0.966716i | \(-0.417644\pi\) | ||||
0.255852 | + | 0.966716i | \(0.417644\pi\) | |||||||
\(54\) | −1.09531e6 | + | 373128.i | −0.946582 | + | 0.322463i | ||||
\(55\) | 2.31554e6i | 1.87665i | ||||||||
\(56\) | −842026. | − | 361013.i | −0.640718 | − | 0.274704i | ||||
\(57\) | 520772. | − | 861566.i | 0.372465 | − | 0.616207i | ||||
\(58\) | 1.38081e6 | − | 565307.i | 0.929256 | − | 0.380440i | ||||
\(59\) | − | 535369.i | − | 0.339368i | −0.985498 | − | 0.169684i | \(-0.945725\pi\) | ||
0.985498 | − | 0.169684i | \(-0.0542748\pi\) | |||||||
\(60\) | 661361. | + | 2.78086e6i | 0.395284 | + | 1.66207i | ||||
\(61\) | − | 3.23726e6i | − | 1.82609i | −0.407856 | − | 0.913046i | \(-0.633724\pi\) | ||
0.407856 | − | 0.913046i | \(-0.366276\pi\) | |||||||
\(62\) | −632336. | − | 1.54453e6i | −0.336959 | − | 0.823049i | ||||
\(63\) | 1.22502e6 | − | 643109.i | 0.617238 | − | 0.324035i | ||||
\(64\) | −1.44587e6 | − | 1.51905e6i | −0.689445 | − | 0.724338i | ||||
\(65\) | − | 1.54218e6i | − | 0.696529i | ||||||
\(66\) | 2.53481e6 | + | 396326.i | 1.08528 | + | 0.169687i | ||||
\(67\) | 3.19490e6 | 1.29776 | 0.648882 | − | 0.760889i | \(-0.275237\pi\) | ||||
0.648882 | + | 0.760889i | \(0.275237\pi\) | |||||||
\(68\) | 2.89827e6 | + | 2.94635e6i | 1.11778 | + | 1.13632i | ||||
\(69\) | 139224. | − | 230332.i | 0.0510203 | − | 0.0844079i | ||||
\(70\) | −1.29495e6 | − | 3.16301e6i | −0.451241 | − | 1.10219i | ||||
\(71\) | −2.17151e6 | −0.720042 | −0.360021 | − | 0.932944i | \(-0.617230\pi\) | ||||
−0.360021 | + | 0.932944i | \(0.617230\pi\) | |||||||
\(72\) | 3.15739e6 | − | 248019.i | 0.996929 | − | 0.0783107i | ||||
\(73\) | 569345. | 0.171295 | 0.0856477 | − | 0.996325i | \(-0.472704\pi\) | ||||
0.0856477 | + | 0.996325i | \(0.472704\pi\) | |||||||
\(74\) | −81529.8 | − | 199143.i | −0.0233886 | − | 0.0571286i | ||||
\(75\) | −3.62629e6 | + | 5.99934e6i | −0.992541 | + | 1.64206i | ||||
\(76\) | −1.96438e6 | + | 1.93233e6i | −0.513308 | + | 0.504932i | ||||
\(77\) | −3.06771e6 | −0.765766 | ||||||||
\(78\) | −1.68822e6 | − | 263959.i | −0.402808 | − | 0.0629804i | ||||
\(79\) | 1.27485e6i | 0.290914i | 0.989365 | + | 0.145457i | \(0.0464652\pi\) | ||||
−0.989365 | + | 0.145457i | \(0.953535\pi\) | |||||||
\(80\) | 128700. | − | 7.82263e6i | 0.0281036 | − | 1.70820i | ||||
\(81\) | −2.71620e6 | + | 3.93688e6i | −0.567890 | + | 0.823104i | ||||
\(82\) | −183467. | − | 448132.i | −0.0367459 | − | 0.0897548i | ||||
\(83\) | − | 3.57654e6i | − | 0.686578i | −0.939230 | − | 0.343289i | \(-0.888459\pi\) | ||
0.939230 | − | 0.343289i | \(-0.111541\pi\) | |||||||
\(84\) | −3.68418e6 | + | 876194.i | −0.678208 | + | 0.161296i | ||||
\(85\) | 1.54183e7i | 2.72315i | ||||||||
\(86\) | 3.41083e6 | − | 1.39640e6i | 0.578250 | − | 0.236737i | ||||
\(87\) | 3.19035e6 | − | 5.27811e6i | 0.519422 | − | 0.859332i | ||||
\(88\) | −6.45405e6 | − | 2.76713e6i | −1.00959 | − | 0.432853i | ||||
\(89\) | 6.34057e6i | 0.953374i | 0.879073 | + | 0.476687i | \(0.158163\pi\) | ||||
−0.879073 | + | 0.476687i | \(0.841837\pi\) | |||||||
\(90\) | 9.04612e6 | + | 7.60062e6i | 1.30802 | + | 1.09901i | ||||
\(91\) | 2.04314e6 | 0.284219 | ||||||||
\(92\) | −525160. | + | 516591.i | −0.0703128 | + | 0.0691655i | ||||
\(93\) | −5.90394e6 | − | 3.56863e6i | −0.761117 | − | 0.460056i | ||||
\(94\) | −1.02201e7 | + | 4.18413e6i | −1.26913 | + | 0.519586i | ||||
\(95\) | −1.02797e7 | −1.23012 | ||||||||
\(96\) | −8.54137e6 | − | 1.47980e6i | −0.985322 | − | 0.170708i | ||||
\(97\) | 7.13949e6 | 0.794266 | 0.397133 | − | 0.917761i | \(-0.370005\pi\) | ||||
0.397133 | + | 0.917761i | \(0.370005\pi\) | |||||||
\(98\) | −4.43221e6 | + | 1.81456e6i | −0.475696 | + | 0.194751i | ||||
\(99\) | 9.38970e6 | − | 4.92937e6i | 0.972588 | − | 0.510585i | ||||
\(100\) | 1.36786e7 | − | 1.34554e7i | 1.36786 | − | 1.34554i | ||||
\(101\) | 1.83155e7 | 1.76886 | 0.884429 | − | 0.466675i | \(-0.154548\pi\) | ||||
0.884429 | + | 0.466675i | \(0.154548\pi\) | |||||||
\(102\) | 1.68784e7 | + | 2.63899e6i | 1.57482 | + | 0.246228i | ||||
\(103\) | − | 7.88089e6i | − | 0.710633i | −0.934746 | − | 0.355316i | \(-0.884373\pi\) | ||
0.934746 | − | 0.355316i | \(-0.115627\pi\) | |||||||
\(104\) | 4.29850e6 | + | 1.84295e6i | 0.374714 | + | 0.160656i | ||||
\(105\) | −1.20905e7 | − | 7.30811e6i | −1.01926 | − | 0.616088i | ||||
\(106\) | −5.80684e6 | + | 2.37734e6i | −0.473554 | + | 0.193874i | ||||
\(107\) | 5.65137e6i | 0.445975i | 0.974821 | + | 0.222988i | \(0.0715809\pi\) | ||||
−0.974821 | + | 0.222988i | \(0.928419\pi\) | |||||||
\(108\) | 9.86869e6 | − | 8.60182e6i | 0.753835 | − | 0.657064i | ||||
\(109\) | 525457.i | 0.0388637i | 0.999811 | + | 0.0194319i | \(0.00618574\pi\) | ||||
−0.999811 | + | 0.0194319i | \(0.993814\pi\) | |||||||
\(110\) | −9.92565e6 | − | 2.42442e7i | −0.711025 | − | 1.73673i | ||||
\(111\) | −761219. | − | 460118.i | −0.0528299 | − | 0.0319329i | ||||
\(112\) | 1.03637e7 | + | 170506.i | 0.697030 | + | 0.0114677i | ||||
\(113\) | − | 2.69478e6i | − | 0.175691i | −0.996134 | − | 0.0878454i | \(-0.972002\pi\) | ||
0.996134 | − | 0.0878454i | \(-0.0279982\pi\) | |||||||
\(114\) | −1.75946e6 | + | 1.12531e7i | −0.111228 | + | 0.711386i | ||||
\(115\) | −2.74818e6 | −0.168501 | ||||||||
\(116\) | −1.20341e7 | + | 1.18378e7i | −0.715834 | + | 0.704154i | ||||
\(117\) | −6.25369e6 | + | 3.28303e6i | −0.360982 | + | 0.189507i | ||||
\(118\) | 2.29488e6 | + | 5.60544e6i | 0.128580 | + | 0.314067i | ||||
\(119\) | −2.04267e7 | −1.11118 | ||||||||
\(120\) | −1.88449e7 | − | 2.62812e7i | −0.995539 | − | 1.38839i | ||||
\(121\) | −4.02651e6 | −0.206624 | ||||||||
\(122\) | 1.38766e7 | + | 3.38948e7i | 0.691871 | + | 1.68995i | ||||
\(123\) | −1.71298e6 | − | 1.03541e6i | −0.0830010 | − | 0.0501699i | ||||
\(124\) | 1.32414e7 | + | 1.34610e7i | 0.623674 | + | 0.634019i | ||||
\(125\) | 3.42741e7 | 1.56957 | ||||||||
\(126\) | −1.00696e7 | + | 1.19846e7i | −0.448450 | + | 0.533737i | ||||
\(127\) | − | 2.13324e7i | − | 0.924117i | −0.886849 | − | 0.462059i | \(-0.847111\pi\) | ||
0.886849 | − | 0.462059i | \(-0.152889\pi\) | |||||||
\(128\) | 2.16500e7 | + | 9.70698e6i | 0.912481 | + | 0.409119i | ||||
\(129\) | 7.88069e6 | − | 1.30378e7i | 0.323222 | − | 0.534738i | ||||
\(130\) | 6.61064e6 | + | 1.61470e7i | 0.263901 | + | 0.644600i | ||||
\(131\) | − | 4.33587e7i | − | 1.68510i | −0.538615 | − | 0.842552i | \(-0.681052\pi\) | ||
0.538615 | − | 0.842552i | \(-0.318948\pi\) | |||||||
\(132\) | −2.82389e7 | + | 6.71595e6i | −1.06866 | + | 0.254155i | ||||
\(133\) | − | 1.36189e7i | − | 0.501950i | ||||||
\(134\) | −3.34513e7 | + | 1.36951e7i | −1.20101 | + | 0.491698i | ||||
\(135\) | 4.87501e7 | + | 2.94105e6i | 1.70533 | + | 0.102881i | ||||
\(136\) | −4.29752e7 | − | 1.84253e7i | −1.46498 | − | 0.628100i | ||||
\(137\) | 3.25183e7i | 1.08045i | 0.841520 | + | 0.540227i | \(0.181662\pi\) | ||||
−0.841520 | + | 0.540227i | \(0.818338\pi\) | |||||||
\(138\) | −470377. | + | 3.00842e6i | −0.0152359 | + | 0.0974455i | ||||
\(139\) | −1.58632e7 | −0.501000 | −0.250500 | − | 0.968117i | \(-0.580595\pi\) | ||||
−0.250500 | + | 0.968117i | \(0.580595\pi\) | |||||||
\(140\) | 2.71168e7 | + | 2.75666e7i | 0.835199 | + | 0.849053i | ||||
\(141\) | −2.36134e7 | + | 3.90660e7i | −0.709400 | + | 1.17363i | ||||
\(142\) | 2.27362e7 | − | 9.30828e6i | 0.666360 | − | 0.272810i | ||||
\(143\) | 1.56605e7 | 0.447846 | ||||||||
\(144\) | −3.19954e7 | + | 1.61311e7i | −0.892933 | + | 0.450189i | ||||
\(145\) | −6.29751e7 | −1.71546 | ||||||||
\(146\) | −5.96117e6 | + | 2.44052e6i | −0.158525 | + | 0.0649005i | ||||
\(147\) | −1.02406e7 | + | 1.69420e7i | −0.265898 | + | 0.439901i | ||||
\(148\) | 1.70727e6 | + | 1.73559e6i | 0.0432898 | + | 0.0440079i | ||||
\(149\) | −9.55034e6 | −0.236519 | −0.118260 | − | 0.992983i | \(-0.537732\pi\) | ||||
−0.118260 | + | 0.992983i | \(0.537732\pi\) | |||||||
\(150\) | 1.22516e7 | − | 7.83587e7i | 0.296398 | − | 1.89569i | ||||
\(151\) | 1.00995e7i | 0.238715i | 0.992851 | + | 0.119358i | \(0.0380835\pi\) | ||||
−0.992851 | + | 0.119358i | \(0.961917\pi\) | |||||||
\(152\) | 1.22845e7 | − | 2.86523e7i | 0.283729 | − | 0.661770i | ||||
\(153\) | 6.25226e7 | − | 3.28229e7i | 1.41129 | − | 0.740895i | ||||
\(154\) | 3.21196e7 | − | 1.31499e7i | 0.708675 | − | 0.290134i | ||||
\(155\) | 7.04420e7i | 1.51940i | ||||||||
\(156\) | 1.88075e7 | − | 4.47292e6i | 0.396639 | − | 0.0943312i | ||||
\(157\) | − | 1.83230e7i | − | 0.377875i | −0.981989 | − | 0.188938i | \(-0.939496\pi\) | ||
0.981989 | − | 0.188938i | \(-0.0605044\pi\) | |||||||
\(158\) | −5.46470e6 | − | 1.33480e7i | −0.110222 | − | 0.269225i | ||||
\(159\) | −1.34167e7 | + | 2.21965e7i | −0.264700 | + | 0.437920i | ||||
\(160\) | 3.21845e7 | + | 8.24563e7i | 0.621194 | + | 1.59149i | ||||
\(161\) | − | 3.64089e6i | − | 0.0687570i | ||||||
\(162\) | 1.15636e7 | − | 5.28632e7i | 0.213693 | − | 0.976901i | ||||
\(163\) | 4.97051e7 | 0.898968 | 0.449484 | − | 0.893288i | \(-0.351608\pi\) | ||||
0.449484 | + | 0.893288i | \(0.351608\pi\) | |||||||
\(164\) | 3.84188e6 | + | 3.90560e6i | 0.0680127 | + | 0.0691409i | ||||
\(165\) | −9.26729e7 | − | 5.60160e7i | −1.60605 | − | 0.970775i | ||||
\(166\) | 1.53310e7 | + | 3.74472e7i | 0.260131 | + | 0.635391i | ||||
\(167\) | −9.61596e7 | −1.59766 | −0.798832 | − | 0.601555i | \(-0.794548\pi\) | ||||
−0.798832 | + | 0.601555i | \(0.794548\pi\) | |||||||
\(168\) | 3.48183e7 | − | 2.49663e7i | 0.566533 | − | 0.406230i | ||||
\(169\) | 5.23184e7 | 0.833779 | ||||||||
\(170\) | −6.60913e7 | − | 1.61433e8i | −1.03175 | − | 2.52012i | ||||
\(171\) | 2.18836e7 | + | 4.16849e7i | 0.334682 | + | 0.637518i | ||||
\(172\) | −2.97264e7 | + | 2.92413e7i | −0.445443 | + | 0.438175i | ||||
\(173\) | 2.49679e7 | 0.366624 | 0.183312 | − | 0.983055i | \(-0.441318\pi\) | ||||
0.183312 | + | 0.983055i | \(0.441318\pi\) | |||||||
\(174\) | −1.07788e7 | + | 6.89385e7i | −0.155113 | + | 0.992064i | ||||
\(175\) | 9.48322e7i | 1.33759i | ||||||||
\(176\) | 7.94368e7 | + | 1.30691e6i | 1.09832 | + | 0.0180697i | ||||
\(177\) | 2.14267e7 | + | 1.29513e7i | 0.290434 | + | 0.175553i | ||||
\(178\) | −2.71791e7 | − | 6.63872e7i | −0.361215 | − | 0.882296i | ||||
\(179\) | − | 7.35170e7i | − | 0.958081i | −0.877793 | − | 0.479040i | \(-0.840985\pi\) | ||
0.877793 | − | 0.479040i | \(-0.159015\pi\) | |||||||
\(180\) | −1.27295e8 | − | 4.08036e7i | −1.62689 | − | 0.521488i | ||||
\(181\) | − | 1.26712e8i | − | 1.58833i | −0.607699 | − | 0.794167i | \(-0.707907\pi\) | ||
0.607699 | − | 0.794167i | \(-0.292093\pi\) | |||||||
\(182\) | −2.13921e7 | + | 8.75800e6i | −0.263029 | + | 0.107685i | ||||
\(183\) | 1.29562e8 | + | 7.83137e7i | 1.56279 | + | 0.944624i | ||||
\(184\) | 3.28415e6 | − | 7.65995e6i | 0.0388652 | − | 0.0906491i | ||||
\(185\) | 9.08239e6i | 0.105463i | ||||||||
\(186\) | 7.71126e7 | + | 1.20568e7i | 0.878678 | + | 0.137384i | ||||
\(187\) | −1.56569e8 | −1.75090 | ||||||||
\(188\) | 8.90709e7 | − | 8.76175e7i | 0.977649 | − | 0.961697i | ||||
\(189\) | −3.89640e6 | + | 6.45859e7i | −0.0419805 | + | 0.695859i | ||||
\(190\) | 1.07630e8 | − | 4.40642e7i | 1.13841 | − | 0.466067i | ||||
\(191\) | 4.33405e7 | 0.450067 | 0.225034 | − | 0.974351i | \(-0.427751\pi\) | ||||
0.225034 | + | 0.974351i | \(0.427751\pi\) | |||||||
\(192\) | 9.57732e7 | − | 2.11191e7i | 0.976540 | − | 0.215338i | ||||
\(193\) | 7.11547e7 | 0.712448 | 0.356224 | − | 0.934401i | \(-0.384064\pi\) | ||||
0.356224 | + | 0.934401i | \(0.384064\pi\) | |||||||
\(194\) | −7.47520e7 | + | 3.06037e7i | −0.735050 | + | 0.300932i | ||||
\(195\) | 6.17216e7 | + | 3.73075e7i | 0.596096 | + | 0.360309i | ||||
\(196\) | 3.86280e7 | − | 3.79977e7i | 0.366443 | − | 0.360464i | ||||
\(197\) | −2.11807e7 | −0.197383 | −0.0986913 | − | 0.995118i | \(-0.531466\pi\) | ||||
−0.0986913 | + | 0.995118i | \(0.531466\pi\) | |||||||
\(198\) | −7.71823e7 | + | 9.18610e7i | −0.706626 | + | 0.841013i | ||||
\(199\) | − | 2.72858e7i | − | 0.245443i | −0.992441 | − | 0.122722i | \(-0.960838\pi\) | ||
0.992441 | − | 0.122722i | \(-0.0391622\pi\) | |||||||
\(200\) | −8.55405e7 | + | 1.99514e8i | −0.756078 | + | 1.76347i | ||||
\(201\) | −7.72891e7 | + | 1.27867e8i | −0.671323 | + | 1.11064i | ||||
\(202\) | −1.91767e8 | + | 7.85100e7i | −1.63698 | + | 0.670186i | ||||
\(203\) | − | 8.34316e7i | − | 0.699994i | ||||||
\(204\) | −1.88032e8 | + | 4.47191e7i | −1.55070 | + | 0.368797i | ||||
\(205\) | 2.04382e7i | 0.165693i | ||||||||
\(206\) | 3.37818e7 | + | 8.25147e7i | 0.269245 | + | 0.657652i | ||||
\(207\) | 5.85039e6 | + | 1.11441e7i | 0.0458447 | + | 0.0873272i | ||||
\(208\) | −5.29061e7 | − | 870422.i | −0.407647 | − | 0.00670669i | ||||
\(209\) | − | 1.04387e8i | − | 0.790926i | ||||||
\(210\) | 1.57917e8 | + | 2.46909e7i | 1.17669 | + | 0.183979i | ||||
\(211\) | −1.10815e8 | −0.812102 | −0.406051 | − | 0.913850i | \(-0.633095\pi\) | ||||
−0.406051 | + | 0.913850i | \(0.633095\pi\) | |||||||
\(212\) | 5.06083e7 | − | 4.97825e7i | 0.364793 | − | 0.358841i | ||||
\(213\) | 5.25318e7 | − | 8.69087e7i | 0.372472 | − | 0.616218i | ||||
\(214\) | −2.42249e7 | − | 5.91711e7i | −0.168971 | − | 0.412726i | ||||
\(215\) | −1.55559e8 | −1.06748 | ||||||||
\(216\) | −6.64553e7 | + | 1.32366e8i | −0.448685 | + | 0.893690i | ||||
\(217\) | −9.33241e7 | −0.619990 | ||||||||
\(218\) | −2.25240e6 | − | 5.50165e6i | −0.0147247 | − | 0.0359663i | ||||
\(219\) | −1.37732e7 | + | 2.27865e7i | −0.0886098 | + | 0.146596i | ||||
\(220\) | 2.07848e8 | + | 2.11295e8i | 1.31603 | + | 1.33786i | ||||
\(221\) | 1.04277e8 | 0.649856 | ||||||||
\(222\) | 9.94245e6 | + | 1.55454e6i | 0.0609899 | + | 0.00953598i | ||||
\(223\) | − | 2.73113e8i | − | 1.64921i | −0.565710 | − | 0.824604i | \(-0.691398\pi\) | ||
0.565710 | − | 0.824604i | \(-0.308602\pi\) | |||||||
\(224\) | −1.09241e8 | + | 4.26392e7i | −0.649408 | + | 0.253478i | ||||
\(225\) | −1.52382e8 | − | 2.90264e8i | −0.891855 | − | 1.69885i | ||||
\(226\) | 1.15513e7 | + | 2.82150e7i | 0.0665659 | + | 0.162592i | ||||
\(227\) | 1.32485e8i | 0.751753i | 0.926670 | + | 0.375876i | \(0.122658\pi\) | ||||
−0.926670 | + | 0.375876i | \(0.877342\pi\) | |||||||
\(228\) | −2.98150e7 | − | 1.25364e8i | −0.166595 | − | 0.700491i | ||||
\(229\) | 3.24000e8i | 1.78287i | 0.453145 | + | 0.891437i | \(0.350302\pi\) | ||||
−0.453145 | + | 0.891437i | \(0.649698\pi\) | |||||||
\(230\) | 2.87741e7 | − | 1.17802e7i | 0.155939 | − | 0.0638418i | ||||
\(231\) | 7.42120e7 | − | 1.22776e8i | 0.396125 | − | 0.655349i | ||||
\(232\) | 7.52570e7 | − | 1.75529e8i | 0.395675 | − | 0.922872i | ||||
\(233\) | 5.56285e7i | 0.288106i | 0.989570 | + | 0.144053i | \(0.0460135\pi\) | ||||
−0.989570 | + | 0.144053i | \(0.953986\pi\) | |||||||
\(234\) | 5.14046e7 | − | 6.11808e7i | 0.262269 | − | 0.312147i | ||||
\(235\) | 4.66111e8 | 2.34289 | ||||||||
\(236\) | −4.80559e7 | − | 4.88530e7i | −0.237988 | − | 0.241935i | ||||
\(237\) | −5.10223e7 | − | 3.08404e7i | −0.248966 | − | 0.150487i | ||||
\(238\) | 2.13872e8 | − | 8.75601e7i | 1.02834 | − | 0.421005i | ||||
\(239\) | 3.45579e8 | 1.63740 | 0.818699 | − | 0.574222i | \(-0.194696\pi\) | ||||
0.818699 | + | 0.574222i | \(0.194696\pi\) | |||||||
\(240\) | 3.09965e8 | + | 1.94391e8i | 1.44735 | + | 0.907688i | ||||
\(241\) | −2.73635e7 | −0.125925 | −0.0629625 | − | 0.998016i | \(-0.520055\pi\) | ||||
−0.0629625 | + | 0.998016i | \(0.520055\pi\) | |||||||
\(242\) | 4.21585e7 | − | 1.72598e7i | 0.191219 | − | 0.0782857i | ||||
\(243\) | −9.18542e7 | − | 2.03947e8i | −0.410655 | − | 0.911791i | ||||
\(244\) | −2.90583e8 | − | 2.95403e8i | −1.28058 | − | 1.30182i | ||||
\(245\) | 2.02142e8 | 0.878162 | ||||||||
\(246\) | 2.23736e7 | + | 3.49818e6i | 0.0958213 | + | 0.0149820i | ||||
\(247\) | 6.95236e7i | 0.293557i | ||||||||
\(248\) | −1.96342e8 | − | 8.41802e7i | −0.817394 | − | 0.350452i | ||||
\(249\) | 1.43141e8 | + | 8.65215e7i | 0.587580 | + | 0.355162i | ||||
\(250\) | −3.58857e8 | + | 1.46917e8i | −1.45255 | + | 0.594680i | ||||
\(251\) | − | 2.95932e8i | − | 1.18123i | −0.806955 | − | 0.590614i | \(-0.798886\pi\) | ||
0.806955 | − | 0.590614i | \(-0.201114\pi\) | |||||||
\(252\) | 5.40580e7 | − | 1.68645e8i | 0.212793 | − | 0.663853i | ||||
\(253\) | − | 2.79071e7i | − | 0.108341i | ||||||
\(254\) | 9.14424e7 | + | 2.23355e8i | 0.350130 | + | 0.855220i | ||||
\(255\) | −6.17075e8 | − | 3.72990e8i | −2.33049 | − | 1.40866i | ||||
\(256\) | −2.68290e8 | − | 8.83032e6i | −0.999459 | − | 0.0328955i | ||||
\(257\) | 2.71775e8i | 0.998720i | 0.866395 | + | 0.499360i | \(0.166432\pi\) | ||||
−0.866395 | + | 0.499360i | \(0.833568\pi\) | |||||||
\(258\) | −2.66254e7 | + | 1.70290e8i | −0.0965222 | + | 0.617333i | ||||
\(259\) | −1.20327e7 | −0.0430341 | ||||||||
\(260\) | −1.38430e8 | − | 1.40726e8i | −0.488453 | − | 0.496555i | ||||
\(261\) | 1.34063e8 | + | 2.55369e8i | 0.466731 | + | 0.889052i | ||||
\(262\) | 1.85859e8 | + | 4.53975e8i | 0.638453 | + | 1.55947i | ||||
\(263\) | −3.32668e8 | −1.12763 | −0.563814 | − | 0.825901i | \(-0.690667\pi\) | ||||
−0.563814 | + | 0.825901i | \(0.690667\pi\) | |||||||
\(264\) | 2.66879e8 | − | 1.91365e8i | 0.892690 | − | 0.640100i | ||||
\(265\) | 2.64835e8 | 0.874208 | ||||||||
\(266\) | 5.83779e7 | + | 1.42592e8i | 0.190179 | + | 0.464527i | ||||
\(267\) | −2.53764e8 | − | 1.53387e8i | −0.815906 | − | 0.493173i | ||||
\(268\) | 2.91538e8 | − | 2.86781e8i | 0.925175 | − | 0.910079i | ||||
\(269\) | −3.63197e8 | −1.13765 | −0.568825 | − | 0.822458i | \(-0.692602\pi\) | ||||
−0.568825 | + | 0.822458i | \(0.692602\pi\) | |||||||
\(270\) | −5.23032e8 | + | 1.78176e8i | −1.61717 | + | 0.550905i | ||||
\(271\) | 5.75287e8i | 1.75587i | 0.478782 | + | 0.877934i | \(0.341078\pi\) | ||||
−0.478782 | + | 0.877934i | \(0.658922\pi\) | |||||||
\(272\) | 5.28940e8 | + | 8.70224e6i | 1.59373 | + | 0.0262204i | ||||
\(273\) | −4.94263e7 | + | 8.17709e7i | −0.147024 | + | 0.243237i | ||||
\(274\) | −1.39391e8 | − | 3.40474e8i | −0.409363 | − | 0.999901i | ||||
\(275\) | 7.26880e8i | 2.10765i | ||||||||
\(276\) | −7.97078e6 | − | 3.35151e7i | −0.0228202 | − | 0.0959531i | ||||
\(277\) | 3.54054e8i | 1.00090i | 0.865765 | + | 0.500450i | \(0.166832\pi\) | ||||
−0.865765 | + | 0.500450i | \(0.833168\pi\) | |||||||
\(278\) | 1.66091e8 | − | 6.79981e7i | 0.463648 | − | 0.189819i | ||||
\(279\) | 2.85649e8 | − | 1.49959e8i | 0.787440 | − | 0.413387i | ||||
\(280\) | −4.02084e8 | − | 1.72391e8i | −1.09462 | − | 0.469311i | ||||
\(281\) | 3.30323e8i | 0.888110i | 0.896000 | + | 0.444055i | \(0.146461\pi\) | ||||
−0.896000 | + | 0.444055i | \(0.853539\pi\) | |||||||
\(282\) | 7.97792e7 | − | 5.10249e8i | 0.211845 | − | 1.35491i | ||||
\(283\) | 2.36463e8 | 0.620169 | 0.310085 | − | 0.950709i | \(-0.399643\pi\) | ||||
0.310085 | + | 0.950709i | \(0.399643\pi\) | |||||||
\(284\) | −1.98153e8 | + | 1.94919e8i | −0.513317 | + | 0.504941i | ||||
\(285\) | 2.48679e8 | − | 4.11415e8i | 0.636330 | − | 1.05274i | ||||
\(286\) | −1.63969e8 | + | 6.71293e7i | −0.414457 | + | 0.169680i | ||||
\(287\) | −2.70772e7 | −0.0676109 | ||||||||
\(288\) | 2.65852e8 | − | 3.06046e8i | 0.655793 | − | 0.754941i | ||||
\(289\) | −6.32198e8 | −1.54067 | ||||||||
\(290\) | 6.59363e8 | − | 2.69945e8i | 1.58757 | − | 0.649955i | ||||
\(291\) | −1.72714e8 | + | 2.85738e8i | −0.410868 | + | 0.679740i | ||||
\(292\) | 5.19534e7 | − | 5.11056e7i | 0.122116 | − | 0.120124i | ||||
\(293\) | −1.62422e8 | −0.377232 | −0.188616 | − | 0.982051i | \(-0.560400\pi\) | ||||
−0.188616 | + | 0.982051i | \(0.560400\pi\) | |||||||
\(294\) | 3.45984e7 | − | 2.21284e8i | 0.0794037 | − | 0.507848i | ||||
\(295\) | − | 2.55649e8i | − | 0.579786i | ||||||
\(296\) | −2.53152e7 | − | 1.08537e7i | −0.0567361 | − | 0.0243252i | ||||
\(297\) | −2.98656e7 | + | 4.95045e8i | −0.0661490 | + | 1.09647i | ||||
\(298\) | 9.99942e7 | − | 4.09380e7i | 0.218886 | − | 0.0896126i | ||||
\(299\) | 1.85865e7i | 0.0402114i | ||||||||
\(300\) | 2.07610e8 | + | 8.72950e8i | 0.443941 | + | 1.86666i | ||||
\(301\) | − | 2.06090e8i | − | 0.435587i | ||||||
\(302\) | −4.32919e7 | − | 1.05744e8i | −0.0904445 | − | 0.220918i | ||||
\(303\) | −4.43076e8 | + | 7.33025e8i | −0.915016 | + | 1.51380i | ||||
\(304\) | −5.80194e6 | + | 3.52654e8i | −0.0118445 | + | 0.719931i | ||||
\(305\) | − | 1.54585e9i | − | 3.11975i | ||||||
\(306\) | −5.13929e8 | + | 6.11669e8i | −1.02536 | + | 1.22037i | ||||
\(307\) | 1.99590e8 | 0.393690 | 0.196845 | − | 0.980435i | \(-0.436930\pi\) | ||||
0.196845 | + | 0.980435i | \(0.436930\pi\) | |||||||
\(308\) | −2.79931e8 | + | 2.75364e8i | −0.545914 | + | 0.537006i | ||||
\(309\) | 3.15411e8 | + | 1.90650e8i | 0.608166 | + | 0.367605i | ||||
\(310\) | −3.01953e8 | − | 7.37544e8i | −0.575670 | − | 1.40612i | ||||
\(311\) | 5.88253e8 | 1.10893 | 0.554464 | − | 0.832208i | \(-0.312923\pi\) | ||||
0.554464 | + | 0.832208i | \(0.312923\pi\) | |||||||
\(312\) | −1.77745e8 | + | 1.27452e8i | −0.331328 | + | 0.237577i | ||||
\(313\) | 9.59109e8 | 1.76792 | 0.883961 | − | 0.467561i | \(-0.154867\pi\) | ||||
0.883961 | + | 0.467561i | \(0.154867\pi\) | |||||||
\(314\) | 7.85425e7 | + | 1.91846e8i | 0.143170 | + | 0.349703i | ||||
\(315\) | 5.84974e8 | − | 3.07097e8i | 1.05451 | − | 0.553591i | ||||
\(316\) | 1.14433e8 | + | 1.16331e8i | 0.204008 | + | 0.207392i | ||||
\(317\) | −5.95992e8 | −1.05083 | −0.525416 | − | 0.850846i | \(-0.676090\pi\) | ||||
−0.525416 | + | 0.850846i | \(0.676090\pi\) | |||||||
\(318\) | 4.53290e7 | − | 2.89914e8i | 0.0790462 | − | 0.505561i | ||||
\(319\) | − | 6.39496e8i | − | 1.10299i | ||||||
\(320\) | −6.90432e8 | − | 7.25375e8i | −1.17787 | − | 1.23748i | ||||
\(321\) | −2.26180e8 | − | 1.36714e8i | −0.381669 | − | 0.230700i | ||||
\(322\) | 1.56068e7 | + | 3.81209e7i | 0.0260507 | + | 0.0636308i | ||||
\(323\) | − | 6.95077e8i | − | 1.14769i | ||||||
\(324\) | 1.05527e8 | + | 6.03057e8i | 0.172368 | + | 0.985033i | ||||
\(325\) | − | 4.84113e8i | − | 0.782267i | ||||||
\(326\) | −5.20423e8 | + | 2.13063e8i | −0.831946 | + | 0.340601i | ||||
\(327\) | −2.10300e7 | − | 1.27115e7i | −0.0332599 | − | 0.0201039i | ||||
\(328\) | −5.69669e7 | − | 2.44242e7i | −0.0891382 | − | 0.0382174i | ||||
\(329\) | 6.17520e8i | 0.956016i | ||||||||
\(330\) | 1.21042e9 | + | 1.89254e8i | 1.85412 | + | 0.289898i | ||||
\(331\) | −1.23121e9 | −1.86609 | −0.933047 | − | 0.359755i | \(-0.882860\pi\) | ||||
−0.933047 | + | 0.359755i | \(0.882860\pi\) | |||||||
\(332\) | −3.21038e8 | − | 3.26363e8i | −0.481474 | − | 0.489461i | ||||
\(333\) | 3.68299e7 | − | 1.93348e7i | 0.0546570 | − | 0.0286936i | ||||
\(334\) | 1.00681e9 | − | 4.12193e8i | 1.47855 | − | 0.605324i | ||||
\(335\) | 1.52563e9 | 2.21714 | ||||||||
\(336\) | −2.57536e8 | + | 4.10653e8i | −0.370382 | + | 0.590592i | ||||
\(337\) | 1.59873e8 | 0.227546 | 0.113773 | − | 0.993507i | \(-0.463706\pi\) | ||||
0.113773 | + | 0.993507i | \(0.463706\pi\) | |||||||
\(338\) | −5.47785e8 | + | 2.24265e8i | −0.771617 | + | 0.315903i | ||||
\(339\) | 1.07851e8 | + | 6.51905e7i | 0.150358 | + | 0.0908835i | ||||
\(340\) | 1.38398e9 | + | 1.40694e9i | 1.90965 | + | 1.94133i | ||||
\(341\) | −7.15321e8 | −0.976923 | ||||||||
\(342\) | −4.07810e8 | − | 3.42645e8i | −0.551273 | − | 0.463184i | ||||
\(343\) | 7.88807e8i | 1.05546i | ||||||||
\(344\) | 1.85897e8 | − | 4.33587e8i | 0.246217 | − | 0.574277i | ||||
\(345\) | 6.64823e7 | − | 1.09988e8i | 0.0871644 | − | 0.144205i | ||||
\(346\) | −2.61419e8 | + | 1.07026e8i | −0.339290 | + | 0.138907i | ||||
\(347\) | 2.81294e8i | 0.361416i | 0.983537 | + | 0.180708i | \(0.0578390\pi\) | ||||
−0.983537 | + | 0.180708i | \(0.942161\pi\) | |||||||
\(348\) | −1.82652e8 | − | 7.68005e8i | −0.232325 | − | 0.976870i | ||||
\(349\) | − | 3.00712e8i | − | 0.378671i | −0.981912 | − | 0.189336i | \(-0.939367\pi\) | ||
0.981912 | − | 0.189336i | \(-0.0606334\pi\) | |||||||
\(350\) | −4.06502e8 | − | 9.92914e8i | −0.506786 | − | 1.23787i | ||||
\(351\) | 1.98909e7 | − | 3.29707e8i | 0.0245516 | − | 0.406962i | ||||
\(352\) | −8.37323e8 | + | 3.26826e8i | −1.02328 | + | 0.399408i | ||||
\(353\) | − | 6.30246e8i | − | 0.762603i | −0.924451 | − | 0.381302i | \(-0.875476\pi\) | ||
0.924451 | − | 0.381302i | \(-0.124524\pi\) | |||||||
\(354\) | −2.79858e8 | − | 4.37568e7i | −0.335295 | − | 0.0524245i | ||||
\(355\) | −1.03694e9 | −1.23014 | ||||||||
\(356\) | 5.69143e8 | + | 5.78584e8i | 0.668570 | + | 0.679659i | ||||
\(357\) | 4.94151e8 | − | 8.17523e8i | 0.574805 | − | 0.950958i | ||||
\(358\) | 3.15134e8 | + | 7.69739e8i | 0.362998 | + | 0.886652i | ||||
\(359\) | −1.05605e7 | −0.0120463 | −0.00602316 | − | 0.999982i | \(-0.501917\pi\) | ||||
−0.00602316 | + | 0.999982i | \(0.501917\pi\) | |||||||
\(360\) | 1.50772e9 | − | 1.18434e8i | 1.70318 | − | 0.133788i | ||||
\(361\) | −4.30452e8 | −0.481559 | ||||||||
\(362\) | 5.43156e8 | + | 1.32670e9i | 0.601789 | + | 1.46992i | ||||
\(363\) | 9.74068e7 | − | 1.61150e8i | 0.106885 | − | 0.176830i | ||||
\(364\) | 1.86439e8 | − | 1.83396e8i | 0.202619 | − | 0.199313i | ||||
\(365\) | 2.71874e8 | 0.292646 | ||||||||
\(366\) | −1.69224e9 | − | 2.64587e8i | −1.80417 | − | 0.282089i | ||||
\(367\) | 5.74355e8i | 0.606526i | 0.952907 | + | 0.303263i | \(0.0980761\pi\) | ||||
−0.952907 | + | 0.303263i | \(0.901924\pi\) | |||||||
\(368\) | −1.55110e6 | + | 9.42790e7i | −0.00162245 | + | 0.0986161i | ||||
\(369\) | 8.28785e7 | − | 4.35092e7i | 0.0858716 | − | 0.0450805i | ||||
\(370\) | −3.89321e7 | − | 9.50947e7i | −0.0399578 | − | 0.0976001i | ||||
\(371\) | 3.50863e8i | 0.356721i | ||||||||
\(372\) | −8.59068e8 | + | 2.04309e8i | −0.865221 | + | 0.205772i | ||||
\(373\) | − | 1.54165e9i | − | 1.53817i | −0.639148 | − | 0.769084i | \(-0.720713\pi\) | ||
0.639148 | − | 0.769084i | \(-0.279287\pi\) | |||||||
\(374\) | 1.63931e9 | − | 6.71140e8i | 1.62036 | − | 0.663380i | ||||
\(375\) | −8.29137e8 | + | 1.37173e9i | −0.811927 | + | 1.34325i | ||||
\(376\) | −5.57015e8 | + | 1.29918e9i | −0.540393 | + | 1.26041i | ||||
\(377\) | 4.25914e8i | 0.409380i | ||||||||
\(378\) | −2.36054e8 | − | 6.92931e8i | −0.224797 | − | 0.659885i | ||||
\(379\) | 8.07688e8 | 0.762090 | 0.381045 | − | 0.924556i | \(-0.375564\pi\) | ||||
0.381045 | + | 0.924556i | \(0.375564\pi\) | |||||||
\(380\) | −9.38030e8 | + | 9.22725e8i | −0.876949 | + | 0.862640i | ||||
\(381\) | 8.53771e8 | + | 5.16060e8i | 0.790868 | + | 0.478039i | ||||
\(382\) | −4.53785e8 | + | 1.85781e8i | −0.416513 | + | 0.170522i | ||||
\(383\) | −7.50741e8 | −0.682801 | −0.341401 | − | 0.939918i | \(-0.610901\pi\) | ||||
−0.341401 | + | 0.939918i | \(0.610901\pi\) | |||||||
\(384\) | −9.12239e8 | + | 6.31658e8i | −0.822147 | + | 0.569276i | ||||
\(385\) | −1.46489e9 | −1.30826 | ||||||||
\(386\) | −7.45006e8 | + | 3.05008e8i | −0.659332 | + | 0.269933i | ||||
\(387\) | 3.31158e8 | + | 6.30806e8i | 0.290433 | + | 0.553232i | ||||
\(388\) | 6.51486e8 | − | 6.40856e8i | 0.566232 | − | 0.556992i | ||||
\(389\) | −5.35813e8 | −0.461519 | −0.230760 | − | 0.973011i | \(-0.574121\pi\) | ||||
−0.230760 | + | 0.973011i | \(0.574121\pi\) | |||||||
\(390\) | −8.06159e8 | − | 1.26046e8i | −0.688168 | − | 0.107597i | ||||
\(391\) | − | 1.85823e8i | − | 0.157210i | ||||||
\(392\) | −2.41565e8 | + | 5.63425e8i | −0.202550 | + | 0.472427i | ||||
\(393\) | 1.73531e9 | + | 1.04891e9i | 1.44213 | + | 0.871692i | ||||
\(394\) | 2.21767e8 | − | 9.07921e7i | 0.182667 | − | 0.0747844i | ||||
\(395\) | 6.08766e8i | 0.497005i | ||||||||
\(396\) | 4.14350e8 | − | 1.29265e9i | 0.335300 | − | 1.04604i | ||||
\(397\) | 1.67867e9i | 1.34648i | 0.739426 | + | 0.673238i | \(0.235097\pi\) | ||||
−0.739426 | + | 0.673238i | \(0.764903\pi\) | |||||||
\(398\) | 1.16962e8 | + | 2.85688e8i | 0.0929936 | + | 0.227144i | ||||
\(399\) | 5.45057e8 | + | 3.29459e8i | 0.429573 | + | 0.259655i | ||||
\(400\) | 4.04006e7 | − | 2.45563e9i | 0.0315630 | − | 1.91846i | ||||
\(401\) | − | 1.55050e9i | − | 1.20079i | −0.799705 | − | 0.600393i | \(-0.795011\pi\) | ||
0.799705 | − | 0.600393i | \(-0.204989\pi\) | |||||||
\(402\) | 2.61126e8 | − | 1.67010e9i | 0.200474 | − | 1.28219i | ||||
\(403\) | 4.76415e8 | 0.362591 | ||||||||
\(404\) | 1.67130e9 | − | 1.64403e9i | 1.26102 | − | 1.24044i | ||||
\(405\) | −1.29704e9 | + | 1.87994e9i | −0.970199 | + | 1.40621i | ||||
\(406\) | 3.57633e8 | + | 8.73547e8i | 0.265214 | + | 0.647807i | ||||
\(407\) | −9.22293e7 | −0.0678092 | ||||||||
\(408\) | 1.77705e9 | − | 1.27423e9i | 1.29536 | − | 0.928830i | ||||
\(409\) | 6.81961e8 | 0.492865 | 0.246432 | − | 0.969160i | \(-0.420742\pi\) | ||||
0.246432 | + | 0.969160i | \(0.420742\pi\) | |||||||
\(410\) | −8.76091e7 | − | 2.13992e8i | −0.0627777 | − | 0.153340i | ||||
\(411\) | −1.30145e9 | − | 7.86663e8i | −0.924662 | − | 0.558910i | ||||
\(412\) | −7.07406e8 | − | 7.19140e8i | −0.498343 | − | 0.506609i | ||||
\(413\) | 3.38693e8 | 0.236582 | ||||||||
\(414\) | −1.09025e8 | − | 9.16034e7i | −0.0755133 | − | 0.0634469i | ||||
\(415\) | − | 1.70787e9i | − | 1.17297i | ||||||
\(416\) | 5.57670e8 | − | 2.17671e8i | 0.379796 | − | 0.148243i | ||||
\(417\) | 3.83751e8 | − | 6.34878e8i | 0.259163 | − | 0.428760i | ||||
\(418\) | 4.47461e8 | + | 1.09296e9i | 0.299666 | + | 0.731959i | ||||
\(419\) | − | 1.11095e8i | − | 0.0737811i | −0.999319 | − | 0.0368906i | \(-0.988255\pi\) | ||
0.999319 | − | 0.0368906i | \(-0.0117453\pi\) | |||||||
\(420\) | −1.75927e9 | + | 4.18400e8i | −1.15867 | + | 0.275562i | ||||
\(421\) | − | 1.07896e9i | − | 0.704722i | −0.935864 | − | 0.352361i | \(-0.885379\pi\) | ||
0.935864 | − | 0.352361i | \(-0.114621\pi\) | |||||||
\(422\) | 1.16026e9 | − | 4.75014e8i | 0.751557 | − | 0.307690i | ||||
\(423\) | −9.92267e8 | − | 1.89012e9i | −0.637437 | − | 1.21422i | ||||
\(424\) | −3.16485e8 | + | 7.38169e8i | −0.201638 | + | 0.470300i | ||||
\(425\) | 4.84003e9i | 3.05835i | ||||||||
\(426\) | −1.77482e8 | + | 1.13513e9i | −0.111230 | + | 0.711399i | ||||
\(427\) | 2.04800e9 | 1.27301 | ||||||||
\(428\) | 5.07279e8 | + | 5.15694e8i | 0.312748 | + | 0.317935i | ||||
\(429\) | −3.78848e8 | + | 6.26767e8i | −0.231667 | + | 0.383271i | ||||
\(430\) | 1.62874e9 | − | 6.66811e8i | 0.987897 | − | 0.404448i | ||||
\(431\) | −1.33369e9 | −0.802388 | −0.401194 | − | 0.915993i | \(-0.631405\pi\) | ||||
−0.401194 | + | 0.915993i | \(0.631405\pi\) | |||||||
\(432\) | 1.28411e8 | − | 1.67076e9i | 0.0766315 | − | 0.997059i | ||||
\(433\) | −5.75068e8 | −0.340417 | −0.170209 | − | 0.985408i | \(-0.554444\pi\) | ||||
−0.170209 | + | 0.985408i | \(0.554444\pi\) | |||||||
\(434\) | 9.77124e8 | − | 4.00038e8i | 0.573767 | − | 0.234902i | ||||
\(435\) | 1.52345e9 | − | 2.52040e9i | 0.887395 | − | 1.46811i | ||||
\(436\) | 4.71662e7 | + | 4.79485e7i | 0.0272538 | + | 0.0277059i | ||||
\(437\) | 1.23891e8 | 0.0710160 | ||||||||
\(438\) | 4.65337e7 | − | 2.97619e8i | 0.0264611 | − | 0.169239i | ||||
\(439\) | − | 2.40435e9i | − | 1.35635i | −0.734899 | − | 0.678176i | \(-0.762771\pi\) | ||
0.734899 | − | 0.678176i | \(-0.237229\pi\) | |||||||
\(440\) | −3.08194e9 | − | 1.32136e9i | −1.72480 | − | 0.739498i | ||||
\(441\) | −4.30324e8 | − | 8.19702e8i | −0.238924 | − | 0.455115i | ||||
\(442\) | −1.09181e9 | + | 4.46990e8i | −0.601406 | + | 0.246218i | ||||
\(443\) | 1.19487e9i | 0.652990i | 0.945199 | + | 0.326495i | \(0.105868\pi\) | ||||
−0.945199 | + | 0.326495i | \(0.894132\pi\) | |||||||
\(444\) | −1.10763e8 | + | 2.63424e7i | −0.0600559 | + | 0.0142829i | ||||
\(445\) | 3.02775e9i | 1.62877i | ||||||||
\(446\) | 1.17071e9 | + | 2.85955e9i | 0.624853 | + | 1.52625i | ||||
\(447\) | 2.31036e8 | − | 3.82226e8i | 0.122350 | − | 0.202415i | ||||
\(448\) | 9.61003e8 | − | 9.14708e8i | 0.504954 | − | 0.480629i | ||||
\(449\) | − | 1.27909e9i | − | 0.666867i | −0.942774 | − | 0.333433i | \(-0.891793\pi\) | ||
0.942774 | − | 0.333433i | \(-0.108207\pi\) | |||||||
\(450\) | 2.83970e9 | + | 2.38594e9i | 1.46902 | + | 1.23429i | ||||
\(451\) | −2.07544e8 | −0.106535 | ||||||||
\(452\) | −2.41889e8 | − | 2.45902e8i | −0.123206 | − | 0.125250i | ||||
\(453\) | −4.04204e8 | − | 2.44320e8i | −0.204294 | − | 0.123485i | ||||
\(454\) | −5.67901e8 | − | 1.38714e9i | −0.284824 | − | 0.695706i | ||||
\(455\) | 9.75639e8 | 0.485567 | ||||||||
\(456\) | 8.49550e8 | + | 1.18479e9i | 0.419577 | + | 0.585147i | ||||
\(457\) | −1.30300e9 | −0.638612 | −0.319306 | − | 0.947652i | \(-0.603450\pi\) | ||||
−0.319306 | + | 0.947652i | \(0.603450\pi\) | |||||||
\(458\) | −1.38884e9 | − | 3.39235e9i | −0.675496 | − | 1.64995i | ||||
\(459\) | −1.98864e8 | + | 3.29632e9i | −0.0959869 | + | 1.59106i | ||||
\(460\) | −2.50775e8 | + | 2.46683e8i | −0.120124 | + | 0.118164i | ||||
\(461\) | 3.73192e9 | 1.77410 | 0.887052 | − | 0.461669i | \(-0.152749\pi\) | ||||
0.887052 | + | 0.461669i | \(0.152749\pi\) | |||||||
\(462\) | −2.50730e8 | + | 1.60361e9i | −0.118293 | + | 0.756574i | ||||
\(463\) | 1.78625e9i | 0.836391i | 0.908357 | + | 0.418196i | \(0.137337\pi\) | ||||
−0.908357 | + | 0.418196i | \(0.862663\pi\) | |||||||
\(464\) | −3.55437e7 | + | 2.16042e9i | −0.0165177 | + | 1.00398i | ||||
\(465\) | −2.81925e9 | − | 1.70409e9i | −1.30031 | − | 0.785972i | ||||
\(466\) | −2.38454e8 | − | 5.82443e8i | −0.109158 | − | 0.266626i | ||||
\(467\) | − | 1.96394e9i | − | 0.892319i | −0.894953 | − | 0.446159i | \(-0.852791\pi\) | ||
0.894953 | − | 0.446159i | \(-0.147209\pi\) | |||||||
\(468\) | −2.75963e8 | + | 8.60925e8i | −0.124449 | + | 0.388244i | ||||
\(469\) | 2.02121e9i | 0.904703i | ||||||||
\(470\) | −4.88028e9 | + | 1.99800e9i | −2.16822 | + | 0.887675i | ||||
\(471\) | 7.33328e8 | + | 4.43259e8i | 0.323389 | + | 0.195472i | ||||
\(472\) | 7.12567e8 | + | 3.05508e8i | 0.311909 | + | 0.133729i | ||||
\(473\) | − | 1.57966e9i | − | 0.686357i | ||||||
\(474\) | 6.66413e8 | + | 1.04196e8i | 0.287422 | + | 0.0449394i | ||||
\(475\) | −3.22693e9 | −1.38154 | ||||||||
\(476\) | −1.86396e9 | + | 1.83355e9i | −0.792159 | + | 0.779234i | ||||
\(477\) | −5.63787e8 | − | 1.07393e9i | −0.237849 | − | 0.453066i | ||||
\(478\) | −3.61829e9 | + | 1.48134e9i | −1.51532 | + | 0.620379i | ||||
\(479\) | −2.97496e9 | −1.23682 | −0.618410 | − | 0.785856i | \(-0.712223\pi\) | ||||
−0.618410 | + | 0.785856i | \(0.712223\pi\) | |||||||
\(480\) | −4.07867e9 | − | 7.06635e8i | −1.68335 | − | 0.291643i | ||||
\(481\) | 6.14261e7 | 0.0251678 | ||||||||
\(482\) | 2.86502e8 | − | 1.17295e8i | 0.116537 | − | 0.0477105i | ||||
\(483\) | 1.45716e8 | + | 8.80781e7i | 0.0588428 | + | 0.0355675i | ||||
\(484\) | −3.67424e8 | + | 3.61428e8i | −0.147302 | + | 0.144898i | ||||
\(485\) | 3.40925e9 | 1.35695 | ||||||||
\(486\) | 1.83596e9 | + | 1.74163e9i | 0.725499 | + | 0.688224i | ||||
\(487\) | 1.25599e9i | 0.492759i | 0.969173 | + | 0.246379i | \(0.0792409\pi\) | ||||
−0.969173 | + | 0.246379i | \(0.920759\pi\) | |||||||
\(488\) | 4.30873e9 | + | 1.84734e9i | 1.67834 | + | 0.719577i | ||||
\(489\) | −1.20243e9 | + | 1.98931e9i | −0.465029 | + | 0.769344i | ||||
\(490\) | −2.11647e9 | + | 8.66489e8i | −0.812691 | + | 0.332719i | ||||
\(491\) | − | 2.96100e9i | − | 1.12890i | −0.825469 | − | 0.564448i | \(-0.809089\pi\) | ||
0.825469 | − | 0.564448i | \(-0.190911\pi\) | |||||||
\(492\) | −2.49251e8 | + | 5.92785e7i | −0.0943538 | + | 0.0224398i | ||||
\(493\) | − | 4.25817e9i | − | 1.60051i | ||||||
\(494\) | −2.98016e8 | − | 7.27927e8i | −0.111223 | − | 0.271671i | ||||
\(495\) | 4.48377e9 | − | 2.35387e9i | 1.66159 | − | 0.872297i | ||||
\(496\) | 2.41658e9 | + | 3.97581e7i | 0.889234 | + | 0.0146299i | ||||
\(497\) | − | 1.37377e9i | − | 0.501959i | ||||||
\(498\) | −1.86960e9 | − | 2.92318e8i | −0.678337 | − | 0.106060i | ||||
\(499\) | 1.51883e9 | 0.547214 | 0.273607 | − | 0.961842i | \(-0.411783\pi\) | ||||
0.273607 | + | 0.961842i | \(0.411783\pi\) | |||||||
\(500\) | 3.12755e9 | − | 3.07652e9i | 1.11895 | − | 1.10069i | ||||
\(501\) | 2.32623e9 | − | 3.84852e9i | 0.826459 | − | 1.36729i | ||||
\(502\) | 1.26852e9 | + | 3.09847e9i | 0.447544 | + | 1.09316i | ||||
\(503\) | 5.67657e8 | 0.198883 | 0.0994417 | − | 0.995043i | \(-0.468294\pi\) | ||||
0.0994417 | + | 0.995043i | \(0.468294\pi\) | |||||||
\(504\) | 1.56906e8 | + | 1.99747e9i | 0.0545923 | + | 0.694983i | ||||
\(505\) | 8.74599e9 | 3.02196 | ||||||||
\(506\) | 1.19625e8 | + | 2.92193e8i | 0.0410483 | + | 0.100264i | ||||
\(507\) | −1.26565e9 | + | 2.09390e9i | −0.431308 | + | 0.713555i | ||||
\(508\) | −1.91484e9 | − | 1.94661e9i | −0.648053 | − | 0.658802i | ||||
\(509\) | −4.49543e9 | −1.51098 | −0.755490 | − | 0.655160i | \(-0.772601\pi\) | ||||
−0.755490 | + | 0.655160i | \(0.772601\pi\) | |||||||
\(510\) | 8.05976e9 | + | 1.26017e9i | 2.69046 | + | 0.420662i | ||||
\(511\) | 3.60188e8i | 0.119414i | ||||||||
\(512\) | 2.84691e9 | − | 1.05758e9i | 0.937408 | − | 0.348233i | ||||
\(513\) | −2.19772e9 | − | 1.32586e8i | −0.718722 | − | 0.0433598i | ||||
\(514\) | −1.16498e9 | − | 2.84555e9i | −0.378396 | − | 0.924261i | ||||
\(515\) | − | 3.76328e9i | − | 1.21406i | ||||||
\(516\) | −4.51181e8 | − | 1.89710e9i | −0.144570 | − | 0.607879i | ||||
\(517\) | 4.73323e9i | 1.50640i | ||||||||
\(518\) | 1.25985e8 | − | 5.15786e7i | 0.0398257 | − | 0.0163048i | ||||
\(519\) | −6.04007e8 | + | 9.99270e8i | −0.189652 | + | 0.313760i | ||||
\(520\) | 2.05262e9 | + | 8.80046e8i | 0.640171 | + | 0.274469i | ||||
\(521\) | 2.67557e9i | 0.828865i | 0.910080 | + | 0.414432i | \(0.136020\pi\) | ||||
−0.910080 | + | 0.414432i | \(0.863980\pi\) | |||||||
\(522\) | −2.49832e9 | − | 2.09911e9i | −0.768778 | − | 0.645934i | ||||
\(523\) | −1.14640e9 | −0.350414 | −0.175207 | − | 0.984532i | \(-0.556060\pi\) | ||||
−0.175207 | + | 0.984532i | \(0.556060\pi\) | |||||||
\(524\) | −3.89197e9 | − | 3.95653e9i | −1.18171 | − | 1.20131i | ||||
\(525\) | −3.79539e9 | − | 2.29412e9i | −1.14472 | − | 0.691924i | ||||
\(526\) | 3.48311e9 | − | 1.42600e9i | 1.04356 | − | 0.427237i | ||||
\(527\) | −4.76306e9 | −1.41758 | ||||||||
\(528\) | −1.97399e9 | + | 3.14762e9i | −0.583615 | + | 0.930601i | ||||
\(529\) | −3.37170e9 | −0.990272 | ||||||||
\(530\) | −2.77288e9 | + | 1.13523e9i | −0.809032 | + | 0.331220i | ||||
\(531\) | −1.03668e9 | + | 5.44232e8i | −0.300479 | + | 0.157744i | ||||
\(532\) | −1.22246e9 | − | 1.24274e9i | −0.352000 | − | 0.357839i | ||||
\(533\) | 1.38228e8 | 0.0395412 | ||||||||
\(534\) | 3.31446e9 | + | 5.18228e8i | 0.941930 | + | 0.147274i | ||||
\(535\) | 2.69864e9i | 0.761916i | ||||||||
\(536\) | −1.82317e9 | + | 4.25235e9i | −0.511388 | + | 1.19276i | ||||
\(537\) | 2.94231e9 | + | 1.77848e9i | 0.819934 | + | 0.495608i | ||||
\(538\) | 3.80275e9 | − | 1.55686e9i | 1.05283 | − | 0.431034i | ||||
\(539\) | 2.05270e9i | 0.564630i | ||||||||
\(540\) | 4.71250e9 | − | 4.10754e9i | 1.28787 | − | 1.12255i | ||||
\(541\) | − | 3.82086e9i | − | 1.03746i | −0.854938 | − | 0.518730i | \(-0.826405\pi\) | ||
0.854938 | − | 0.518730i | \(-0.173595\pi\) | |||||||
\(542\) | −2.46599e9 | − | 6.02338e9i | −0.665264 | − | 1.62496i | ||||
\(543\) | 5.07129e9 | + | 3.06533e9i | 1.35931 | + | 0.821633i | ||||
\(544\) | −5.57543e9 | + | 2.17621e9i | −1.48485 | + | 0.579569i | ||||
\(545\) | 2.50916e8i | 0.0663959i | ||||||||
\(546\) | 1.66990e8 | − | 1.06803e9i | 0.0439052 | − | 0.280807i | ||||
\(547\) | 2.86256e9 | 0.747823 | 0.373911 | − | 0.927464i | \(-0.378016\pi\) | ||||
0.373911 | + | 0.927464i | \(0.378016\pi\) | |||||||
\(548\) | 2.91891e9 | + | 2.96733e9i | 0.757686 | + | 0.770254i | ||||
\(549\) | −6.26857e9 | + | 3.29085e9i | −1.61683 | + | 0.848799i | ||||
\(550\) | −3.11580e9 | − | 7.61059e9i | −0.798547 | − | 1.95051i | ||||
\(551\) | 2.83900e9 | 0.722993 | ||||||||
\(552\) | 2.27120e8 | + | 3.16744e8i | 0.0574736 | + | 0.0801533i | ||||
\(553\) | −8.06515e8 | −0.202803 | ||||||||
\(554\) | −1.51767e9 | − | 3.70703e9i | −0.379222 | − | 0.926279i | ||||
\(555\) | −3.63497e8 | − | 2.19716e8i | −0.0902560 | − | 0.0545551i | ||||
\(556\) | −1.44753e9 | + | 1.42391e9i | −0.357162 | + | 0.351335i | ||||
\(557\) | 1.15130e9 | 0.282289 | 0.141144 | − | 0.989989i | \(-0.454922\pi\) | ||||
0.141144 | + | 0.989989i | \(0.454922\pi\) | |||||||
\(558\) | −2.34800e9 | + | 2.79455e9i | −0.572108 | + | 0.680913i | ||||
\(559\) | 1.05208e9i | 0.254746i | ||||||||
\(560\) | 4.94887e9 | + | 8.14198e7i | 1.19082 | + | 0.0195917i | ||||
\(561\) | 3.78762e9 | − | 6.26624e9i | 0.905725 | − | 1.49843i | ||||
\(562\) | −1.41594e9 | − | 3.45856e9i | −0.336488 | − | 0.821897i | ||||
\(563\) | 7.38735e9i | 1.74465i | 0.488923 | + | 0.872327i | \(0.337390\pi\) | ||||
−0.488923 | + | 0.872327i | \(0.662610\pi\) | |||||||
\(564\) | 1.35190e9 | + | 5.68440e9i | 0.317298 | + | 1.33416i | ||||
\(565\) | − | 1.28681e9i | − | 0.300155i | ||||||
\(566\) | −2.47582e9 | + | 1.01361e9i | −0.573933 | + | 0.234970i | ||||
\(567\) | −2.49061e9 | − | 1.71836e9i | −0.573806 | − | 0.395890i | ||||
\(568\) | 1.23917e9 | − | 2.89024e9i | 0.283735 | − | 0.661782i | ||||
\(569\) | − | 3.67854e9i | − | 0.837109i | −0.908192 | − | 0.418555i | \(-0.862537\pi\) | ||
0.908192 | − | 0.418555i | \(-0.137463\pi\) | |||||||
\(570\) | −8.40178e8 | + | 5.37358e9i | −0.190024 | + | 1.21535i | ||||
\(571\) | 6.87971e9 | 1.54648 | 0.773239 | − | 0.634114i | \(-0.218635\pi\) | ||||
0.773239 | + | 0.634114i | \(0.218635\pi\) | |||||||
\(572\) | 1.42903e9 | − | 1.40572e9i | 0.319269 | − | 0.314059i | ||||
\(573\) | −1.04847e9 | + | 1.73458e9i | −0.232816 | + | 0.385171i | ||||
\(574\) | 2.83504e8 | − | 1.16068e8i | 0.0625702 | − | 0.0256165i | ||||
\(575\) | −8.62693e8 | −0.189243 | ||||||||
\(576\) | −1.47165e9 | + | 4.34396e9i | −0.320868 | + | 0.947124i | ||||
\(577\) | 2.23949e9 | 0.485326 | 0.242663 | − | 0.970111i | \(-0.421979\pi\) | ||||
0.242663 | + | 0.970111i | \(0.421979\pi\) | |||||||
\(578\) | 6.61925e9 | − | 2.70994e9i | 1.42581 | − | 0.583731i | ||||
\(579\) | −1.72133e9 | + | 2.84777e9i | −0.368544 | + | 0.609719i | ||||
\(580\) | −5.74654e9 | + | 5.65278e9i | −1.22295 | + | 1.20300i | ||||
\(581\) | 2.26265e9 | 0.478630 | ||||||||
\(582\) | 5.83525e8 | − | 3.73209e9i | 0.122696 | − | 0.784732i | ||||
\(583\) | 2.68933e9i | 0.562088i | ||||||||
\(584\) | −3.24897e8 | + | 7.57788e8i | −0.0674994 | + | 0.157435i | ||||
\(585\) | −2.98626e9 | + | 1.56771e9i | −0.616711 | + | 0.323759i | ||||
\(586\) | 1.70060e9 | − | 6.96230e8i | 0.349108 | − | 0.142926i | ||||
\(587\) | 2.74509e9i | 0.560174i | 0.959975 | + | 0.280087i | \(0.0903633\pi\) | ||||
−0.959975 | + | 0.280087i | \(0.909637\pi\) | |||||||
\(588\) | 5.86289e8 | + | 2.46520e9i | 0.118930 | + | 0.500070i | ||||
\(589\) | − | 3.17562e9i | − | 0.640360i | ||||||
\(590\) | 1.09585e9 | + | 2.67671e9i | 0.219670 | + | 0.536561i | ||||
\(591\) | 5.12390e8 | − | 8.47699e8i | 0.102104 | − | 0.168922i | ||||
\(592\) | 3.11580e8 | + | 5.12618e6i | 0.0617226 | + | 0.00101547i | ||||
\(593\) | 6.07047e9i | 1.19545i | 0.801702 | + | 0.597724i | \(0.203928\pi\) | ||||
−0.801702 | + | 0.597724i | \(0.796072\pi\) | |||||||
\(594\) | −1.80933e9 | − | 5.31125e9i | −0.354214 | − | 1.03979i | ||||
\(595\) | −9.75417e9 | −1.89837 | ||||||||
\(596\) | −8.71479e8 | + | 8.57259e8i | −0.168614 | + | 0.165863i | ||||
\(597\) | 1.09204e9 | + | 6.60081e8i | 0.210052 | + | 0.126966i | ||||
\(598\) | −7.96720e7 | − | 1.94605e8i | −0.0152353 | − | 0.0372135i | ||||
\(599\) | 2.94693e9 | 0.560242 | 0.280121 | − | 0.959965i | \(-0.409625\pi\) | ||||
0.280121 | + | 0.959965i | \(0.409625\pi\) | |||||||
\(600\) | −5.91567e9 | − | 8.25005e9i | −1.11808 | − | 1.55929i | ||||
\(601\) | −9.07995e9 | −1.70617 | −0.853086 | − | 0.521771i | \(-0.825272\pi\) | ||||
−0.853086 | + | 0.521771i | \(0.825272\pi\) | |||||||
\(602\) | 8.83415e8 | + | 2.15781e9i | 0.165035 | + | 0.403112i | ||||
\(603\) | −3.24779e9 | − | 6.18656e9i | −0.603223 | − | 1.14905i | ||||
\(604\) | 9.06551e8 | + | 9.21588e8i | 0.167403 | + | 0.170180i | ||||
\(605\) | −1.92274e9 | −0.353002 | ||||||||
\(606\) | 1.49696e9 | − | 9.57420e9i | 0.273247 | − | 1.74762i | ||||
\(607\) | 6.49347e9i | 1.17846i | 0.807964 | + | 0.589232i | \(0.200570\pi\) | ||||
−0.807964 | + | 0.589232i | \(0.799430\pi\) | |||||||
\(608\) | −1.45092e9 | − | 3.71723e9i | −0.261807 | − | 0.670745i | ||||
\(609\) | 3.33912e9 | + | 2.01832e9i | 0.599061 | + | 0.362102i | ||||
\(610\) | 6.62637e9 | + | 1.61854e10i | 1.18201 | + | 2.88715i | ||||
\(611\) | − | 3.15241e9i | − | 0.559111i | ||||||
\(612\) | 2.75901e9 | − | 8.60729e9i | 0.486545 | − | 1.51788i | ||||
\(613\) | 6.06636e8i | 0.106369i | 0.998585 | + | 0.0531847i | \(0.0169372\pi\) | ||||
−0.998585 | + | 0.0531847i | \(0.983063\pi\) | |||||||
\(614\) | −2.08975e9 | + | 8.55550e8i | −0.364338 | + | 0.149161i | ||||
\(615\) | −8.17980e8 | − | 4.94427e8i | −0.141801 | − | 0.0857115i | ||||
\(616\) | 1.75058e9 | − | 4.08306e9i | 0.301752 | − | 0.703806i | ||||
\(617\) | 6.41175e9i | 1.09895i | 0.835510 | + | 0.549476i | \(0.185173\pi\) | ||||
−0.835510 | + | 0.549476i | \(0.814827\pi\) | |||||||
\(618\) | −4.11965e9 | − | 6.44121e8i | −0.702102 | − | 0.109776i | ||||
\(619\) | 2.94457e9 | 0.499005 | 0.249503 | − | 0.968374i | \(-0.419733\pi\) | ||||
0.249503 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(620\) | 6.32303e9 | + | 6.42791e9i | 1.06550 | + | 1.08318i | ||||
\(621\) | −5.87541e8 | − | 3.54458e7i | −0.0984504 | − | 0.00593942i | ||||
\(622\) | −6.15914e9 | + | 2.52157e9i | −1.02625 | + | 0.420151i | ||||
\(623\) | −4.01127e9 | −0.664620 | ||||||||
\(624\) | 1.31471e9 | − | 2.09636e9i | 0.216612 | − | 0.345398i | ||||
\(625\) | 4.65561e9 | 0.762775 | ||||||||
\(626\) | −1.00421e10 | + | 4.11126e9i | −1.63611 | + | 0.669831i | ||||
\(627\) | 4.17781e9 | + | 2.52527e9i | 0.676881 | + | 0.409140i | ||||
\(628\) | −1.64471e9 | − | 1.67200e9i | −0.264991 | − | 0.269387i | ||||
\(629\) | −6.14122e8 | −0.0983959 | ||||||||
\(630\) | −4.80842e9 | + | 5.72289e9i | −0.766144 | + | 0.911850i | ||||
\(631\) | − | 8.02707e9i | − | 1.27190i | −0.771729 | − | 0.635952i | \(-0.780608\pi\) | ||
0.771729 | − | 0.635952i | \(-0.219392\pi\) | |||||||
\(632\) | −1.69680e9 | − | 7.27492e8i | −0.267375 | − | 0.114635i | ||||
\(633\) | 2.68077e9 | − | 4.43507e9i | 0.420094 | − | 0.695004i | ||||
\(634\) | 6.24017e9 | − | 2.55475e9i | 0.972487 | − | 0.398140i | ||||
\(635\) | − | 1.01867e10i | − | 1.57879i | ||||||
\(636\) | 7.68123e8 | + | 3.22976e9i | 0.118394 | + | 0.497818i | ||||
\(637\) | − | 1.36713e9i | − | 0.209566i | ||||||
\(638\) | 2.74123e9 | + | 6.69566e9i | 0.417900 | + | 1.02075i | ||||
\(639\) | 2.20746e9 | + | 4.20488e9i | 0.334688 | + | 0.637530i | ||||
\(640\) | 1.03383e10 | + | 4.63528e9i | 1.55891 | + | 0.698949i | ||||
\(641\) | − | 5.90994e9i | − | 0.886299i | −0.896448 | − | 0.443149i | \(-0.853861\pi\) | ||
0.896448 | − | 0.443149i | \(-0.146139\pi\) | |||||||
\(642\) | 2.95419e9 | + | 4.61898e8i | 0.440622 | + | 0.0688927i | ||||
\(643\) | −4.88948e9 | −0.725311 | −0.362656 | − | 0.931923i | \(-0.618130\pi\) | ||||
−0.362656 | + | 0.931923i | \(0.618130\pi\) | |||||||
\(644\) | −3.26814e8 | − | 3.32235e8i | −0.0482170 | − | 0.0490168i | ||||
\(645\) | 3.76319e9 | − | 6.22582e9i | 0.552201 | − | 0.913561i | ||||
\(646\) | 2.97948e9 | + | 7.27761e9i | 0.434837 | + | 1.06212i | ||||
\(647\) | −4.04673e9 | −0.587408 | −0.293704 | − | 0.955896i | \(-0.594888\pi\) | ||||
−0.293704 | + | 0.955896i | \(0.594888\pi\) | |||||||
\(648\) | −3.68992e9 | − | 5.86179e9i | −0.532727 | − | 0.846287i | ||||
\(649\) | 2.59605e9 | 0.372784 | ||||||||
\(650\) | 2.07517e9 | + | 5.06877e9i | 0.296386 | + | 0.723946i | ||||
\(651\) | 2.25764e9 | − | 3.73504e9i | 0.320716 | − | 0.530593i | ||||
\(652\) | 4.53564e9 | − | 4.46163e9i | 0.640873 | − | 0.630416i | ||||
\(653\) | 7.55767e9 | 1.06216 | 0.531082 | − | 0.847320i | \(-0.321786\pi\) | ||||
0.531082 | + | 0.847320i | \(0.321786\pi\) | |||||||
\(654\) | 2.74677e8 | + | 4.29467e7i | 0.0383972 | + | 0.00600354i | ||||
\(655\) | − | 2.07046e10i | − | 2.87888i | ||||||
\(656\) | 7.01151e8 | + | 1.15355e7i | 0.0969724 | + | 0.00159541i | ||||
\(657\) | −5.78771e8 | − | 1.10247e9i | −0.0796210 | − | 0.151666i | ||||
\(658\) | −2.64703e9 | − | 6.46557e9i | −0.362216 | − | 0.884741i | ||||
\(659\) | − | 1.79440e9i | − | 0.244242i | −0.992515 | − | 0.122121i | \(-0.961030\pi\) | ||
0.992515 | − | 0.122121i | \(-0.0389697\pi\) | |||||||
\(660\) | −1.34846e10 | + | 3.20700e9i | −1.82572 | + | 0.434205i | ||||
\(661\) | 1.49795e9i | 0.201741i | 0.994900 | + | 0.100870i | \(0.0321627\pi\) | ||||
−0.994900 | + | 0.100870i | \(0.967837\pi\) | |||||||
\(662\) | 1.28910e10 | − | 5.27763e9i | 1.72697 | − | 0.707027i | ||||
\(663\) | −2.52261e9 | + | 4.17341e9i | −0.336166 | + | 0.556152i | ||||
\(664\) | 4.76031e9 | + | 2.04095e9i | 0.631026 | + | 0.270548i | ||||
\(665\) | − | 6.50328e9i | − | 0.857544i | ||||||
\(666\) | −3.02738e8 | + | 3.60313e8i | −0.0397106 | + | 0.0472628i | ||||
\(667\) | 7.58982e8 | 0.0990355 | ||||||||
\(668\) | −8.77467e9 | + | 8.63150e9i | −1.13897 | + | 1.12039i | ||||
\(669\) | 1.09306e10 | + | 6.60698e9i | 1.41141 | + | 0.853123i | ||||
\(670\) | −1.59737e10 | + | 6.53968e9i | −2.05184 | + | 0.840029i | ||||
\(671\) | 1.56978e10 | 2.00590 | ||||||||
\(672\) | 9.36175e8 | − | 5.40357e9i | 0.119005 | − | 0.686892i | ||||
\(673\) | −1.02064e10 | −1.29069 | −0.645343 | − | 0.763893i | \(-0.723286\pi\) | ||||
−0.645343 | + | 0.763893i | \(0.723286\pi\) | |||||||
\(674\) | −1.67390e9 | + | 6.85301e8i | −0.210582 | + | 0.0862128i | ||||
\(675\) | 1.53034e10 | + | 9.23236e8i | 1.91524 | + | 0.115545i | ||||
\(676\) | 4.77411e9 | − | 4.69621e9i | 0.594400 | − | 0.584702i | ||||
\(677\) | −2.46012e8 | −0.0304716 | −0.0152358 | − | 0.999884i | \(-0.504850\pi\) | ||||
−0.0152358 | + | 0.999884i | \(0.504850\pi\) | |||||||
\(678\) | −1.40867e9 | − | 2.20250e8i | −0.173582 | − | 0.0271401i | ||||
\(679\) | 4.51669e9i | 0.553702i | ||||||||
\(680\) | −2.05215e10 | − | 8.79846e9i | −2.50281 | − | 1.07306i | ||||
\(681\) | −5.30233e9 | − | 3.20498e9i | −0.643356 | − | 0.388876i | ||||
\(682\) | 7.48957e9 | − | 3.06625e9i | 0.904089 | − | 0.370137i | ||||
\(683\) | 7.16878e9i | 0.860940i | 0.902605 | + | 0.430470i | \(0.141652\pi\) | ||||
−0.902605 | + | 0.430470i | \(0.858348\pi\) | |||||||
\(684\) | 5.73863e9 | + | 1.83948e9i | 0.685665 | + | 0.219785i | ||||
\(685\) | 1.55281e10i | 1.84588i | ||||||||
\(686\) | −3.38125e9 | − | 8.25898e9i | −0.399893 | − | 0.976769i | ||||
\(687\) | −1.29672e10 | − | 7.83800e9i | −1.52580 | − | 0.922267i | ||||
\(688\) | −8.77990e7 | + | 5.33661e9i | −0.0102785 | + | 0.624749i | ||||
\(689\) | − | 1.79113e9i | − | 0.208622i | ||||||
\(690\) | −2.24614e8 | + | 1.43658e9i | −0.0260295 | + | 0.166479i | ||||
\(691\) | −1.06347e10 | −1.22617 | −0.613087 | − | 0.790016i | \(-0.710072\pi\) | ||||
−0.613087 | + | 0.790016i | \(0.710072\pi\) | |||||||
\(692\) | 2.27835e9 | − | 2.24117e9i | 0.261366 | − | 0.257101i | ||||
\(693\) | 3.11849e9 | + | 5.94026e9i | 0.355941 | + | 0.678014i | ||||
\(694\) | −1.20578e9 | − | 2.94521e9i | −0.136934 | − | 0.334471i | ||||
\(695\) | −7.57497e9 | −0.855922 | ||||||||
\(696\) | 5.20450e9 | + | 7.25824e9i | 0.585122 | + | 0.816017i | ||||
\(697\) | −1.38196e9 | −0.154590 | ||||||||
\(698\) | 1.28902e9 | + | 3.14852e9i | 0.143471 | + | 0.350439i | ||||
\(699\) | −2.22638e9 | − | 1.34573e9i | −0.246563 | − | 0.149035i | ||||
\(700\) | 8.51234e9 | + | 8.65354e9i | 0.938006 | + | 0.953565i | ||||
\(701\) | −4.61502e8 | −0.0506012 | −0.0253006 | − | 0.999680i | \(-0.508054\pi\) | ||||
−0.0253006 | + | 0.999680i | \(0.508054\pi\) | |||||||
\(702\) | 1.20504e9 | + | 3.53737e9i | 0.131469 | + | 0.385923i | ||||
\(703\) | − | 4.09446e8i | − | 0.0444480i | ||||||
\(704\) | 7.36600e9 | − | 7.01116e9i | 0.795660 | − | 0.757330i | ||||
\(705\) | −1.12759e10 | + | 1.86548e10i | −1.21196 | + | 2.00506i | ||||
\(706\) | 2.70158e9 | + | 6.59881e9i | 0.288935 | + | 0.705748i | ||||
\(707\) | 1.15870e10i | 1.23311i | ||||||||
\(708\) | 3.11774e9 | − | 7.41482e8i | 0.330160 | − | 0.0785207i | ||||
\(709\) | − | 1.37159e10i | − | 1.44532i | −0.691206 | − | 0.722658i | \(-0.742920\pi\) | ||
0.691206 | − | 0.722658i | \(-0.257080\pi\) | |||||||
\(710\) | 1.08570e10 | − | 4.44489e9i | 1.13843 | − | 0.466076i | ||||
\(711\) | 2.46860e9 | − | 1.29595e9i | 0.257577 | − | 0.135222i | ||||
\(712\) | −8.43918e9 | − | 3.61824e9i | −0.876234 | − | 0.375680i | ||||
\(713\) | − | 8.48974e8i | − | 0.0877165i | ||||||
\(714\) | −1.66952e9 | + | 1.06778e10i | −0.171651 | + | 1.09784i | ||||
\(715\) | 7.47819e9 | 0.765112 | ||||||||
\(716\) | −6.59904e9 | − | 6.70850e9i | −0.671870 | − | 0.683015i | ||||
\(717\) | −8.36002e9 | + | 1.38308e10i | −0.847014 | + | 1.40130i | ||||
\(718\) | 1.10571e8 | − | 4.52681e7i | 0.0111482 | − | 0.00456412i | ||||
\(719\) | −6.27355e8 | −0.0629452 | −0.0314726 | − | 0.999505i | \(-0.510020\pi\) | ||||
−0.0314726 | + | 0.999505i | \(0.510020\pi\) | |||||||
\(720\) | −1.52784e10 | + | 7.70292e9i | −1.52551 | + | 0.769116i | ||||
\(721\) | 4.98573e9 | 0.495399 | ||||||||
\(722\) | 4.50692e9 | − | 1.84515e9i | 0.445656 | − | 0.182453i | ||||
\(723\) | 6.61960e8 | − | 1.09515e9i | 0.0651400 | − | 0.107768i | ||||
\(724\) | −1.13739e10 | − | 1.15626e10i | −1.11385 | − | 1.13232i | ||||
\(725\) | −1.97688e10 | −1.92662 | ||||||||
\(726\) | −3.29095e8 | + | 2.10481e9i | −0.0319185 | + | 0.204144i | ||||
\(727\) | − | 1.42234e10i | − | 1.37288i | −0.727184 | − | 0.686442i | \(-0.759172\pi\) | ||
0.727184 | − | 0.686442i | \(-0.240828\pi\) | |||||||
\(728\) | −1.16592e9 | + | 2.71938e9i | −0.111997 | + | 0.261222i | ||||
\(729\) | 1.03845e10 | + | 1.25755e9i | 0.992747 | + | 0.120221i | ||||
\(730\) | −2.84658e9 | + | 1.16540e9i | −0.270828 | + | 0.110878i | ||||
\(731\) | − | 1.05184e10i | − | 0.995953i | ||||||
\(732\) | 1.88523e10 | − | 4.48357e9i | 1.77654 | − | 0.422508i | ||||
\(733\) | 7.60365e9i | 0.713113i | 0.934274 | + | 0.356556i | \(0.116049\pi\) | ||||
−0.934274 | + | 0.356556i | \(0.883951\pi\) | |||||||
\(734\) | −2.46200e9 | − | 6.01363e9i | −0.229801 | − | 0.561307i | ||||
\(735\) | −4.89008e9 | + | 8.09016e9i | −0.454266 | + | 0.751539i | ||||
\(736\) | −3.87891e8 | − | 9.93771e8i | −0.0358622 | − | 0.0918785i | ||||
\(737\) | 1.54924e10i | 1.42555i | ||||||||
\(738\) | −6.81252e8 | + | 8.10814e8i | −0.0623894 | + | 0.0742547i | ||||
\(739\) | 3.49238e9 | 0.318321 | 0.159161 | − | 0.987253i | \(-0.449121\pi\) | ||||
0.159161 | + | 0.987253i | \(0.449121\pi\) | |||||||
\(740\) | 8.15255e8 | + | 8.28778e8i | 0.0739575 | + | 0.0751843i | ||||
\(741\) | −2.78249e9 | − | 1.68187e9i | −0.251229 | − | 0.151855i | ||||
\(742\) | −1.50399e9 | − | 3.67361e9i | −0.135155 | − | 0.330126i | ||||
\(743\) | 7.32860e9 | 0.655481 | 0.327741 | − | 0.944768i | \(-0.393713\pi\) | ||||
0.327741 | + | 0.944768i | \(0.393713\pi\) | |||||||
\(744\) | 8.11885e9 | − | 5.82159e9i | 0.722752 | − | 0.518247i | ||||
\(745\) | −4.56048e9 | −0.404076 | ||||||||
\(746\) | 6.60833e9 | + | 1.61414e10i | 0.582782 | + | 1.42349i | ||||
\(747\) | −6.92556e9 | + | 3.63575e9i | −0.607901 | + | 0.319133i | ||||
\(748\) | −1.42871e10 | + | 1.40540e10i | −1.24821 | + | 1.22785i | ||||
\(749\) | −3.57526e9 | −0.310900 | ||||||||
\(750\) | 2.80129e9 | − | 1.79164e10i | 0.242462 | − | 1.55073i | ||||
\(751\) | 7.77694e9i | 0.669991i | 0.942220 | + | 0.334996i | \(0.108735\pi\) | ||||
−0.942220 | + | 0.334996i | \(0.891265\pi\) | |||||||
\(752\) | 2.63077e8 | − | 1.59904e10i | 0.0225590 | − | 1.37119i | ||||
\(753\) | 1.18438e10 | + | 7.15899e9i | 1.01090 | + | 0.611040i | ||||
\(754\) | −1.82570e9 | − | 4.45941e9i | −0.155106 | − | 0.378859i | ||||
\(755\) | 4.82270e9i | 0.407827i | ||||||||
\(756\) | 5.44182e9 | + | 6.24328e9i | 0.458055 | + | 0.525517i | ||||
\(757\) | 1.65306e9i | 0.138501i | 0.997599 | + | 0.0692504i | \(0.0220607\pi\) | ||||
−0.997599 | + | 0.0692504i | \(0.977939\pi\) | |||||||
\(758\) | −8.45667e9 | + | 3.46219e9i | −0.705273 | + | 0.288741i | ||||
\(759\) | 1.11690e9 | + | 6.75110e8i | 0.0927191 | + | 0.0560439i | ||||
\(760\) | 5.86609e9 | − | 1.36820e10i | 0.484731 | − | 1.13059i | ||||
\(761\) | − | 1.81550e10i | − | 1.49331i | −0.665211 | − | 0.746655i | \(-0.731659\pi\) | ||
0.665211 | − | 0.746655i | \(-0.268341\pi\) | |||||||
\(762\) | −1.11513e10 | − | 1.74354e9i | −0.913025 | − | 0.142755i | ||||
\(763\) | −3.32423e8 | −0.0270929 | ||||||||
\(764\) | 3.95487e9 | − | 3.89034e9i | 0.320853 | − | 0.315617i | ||||
\(765\) | 2.98558e10 | − | 1.56736e10i | 2.41109 | − | 1.26576i | ||||
\(766\) | 7.86042e9 | − | 3.21808e9i | 0.631895 | − | 0.258700i | ||||
\(767\) | −1.72901e9 | −0.138361 | ||||||||
\(768\) | 6.84372e9 | − | 1.05239e10i | 0.545165 | − | 0.838329i | ||||
\(769\) | 1.35979e10 | 1.07827 | 0.539137 | − | 0.842218i | \(-0.318750\pi\) | ||||
0.539137 | + | 0.842218i | \(0.318750\pi\) | |||||||
\(770\) | 1.53377e10 | − | 6.27932e9i | 1.21072 | − | 0.495673i | ||||
\(771\) | −1.08770e10 | − | 6.57461e9i | −0.854714 | − | 0.516630i | ||||
\(772\) | 6.49295e9 | − | 6.38700e9i | 0.507904 | − | 0.499616i | ||||
\(773\) | 9.94999e7 | 0.00774808 | 0.00387404 | − | 0.999992i | \(-0.498767\pi\) | ||||
0.00387404 | + | 0.999992i | \(0.498767\pi\) | |||||||
\(774\) | −6.17127e9 | − | 5.18515e9i | −0.478389 | − | 0.401946i | ||||
\(775\) | 2.21128e10i | 1.70642i | ||||||||
\(776\) | −4.07415e9 | + | 9.50253e9i | −0.312983 | + | 0.730000i | ||||
\(777\) | 2.91087e8 | − | 4.81574e8i | 0.0222612 | − | 0.0368290i | ||||
\(778\) | 5.61008e9 | − | 2.29679e9i | 0.427111 | − | 0.174861i | ||||
\(779\) | − | 9.21378e8i | − | 0.0698324i | ||||||
\(780\) | 8.98096e9 | − | 2.13591e9i | 0.677629 | − | 0.161158i | ||||
\(781\) | − | 1.05299e10i | − | 0.790940i | ||||||
\(782\) | 7.96539e8 | + | 1.94561e9i | 0.0595639 | + | 0.145490i | ||||
\(783\) | −1.34636e10 | − | 8.12247e8i | −1.00229 | − | 0.0604675i | ||||
\(784\) | 1.14091e8 | − | 6.93467e9i | 0.00845559 | − | 0.513948i | ||||
\(785\) | − | 8.74961e9i | − | 0.645573i | ||||||
\(786\) | −2.26653e10 | − | 3.54379e9i | −1.66488 | − | 0.260309i | ||||
\(787\) | 1.60892e10 | 1.17658 | 0.588291 | − | 0.808650i | \(-0.299801\pi\) | ||||
0.588291 | + | 0.808650i | \(0.299801\pi\) | |||||||
\(788\) | −1.93276e9 | + | 1.90123e9i | −0.140714 | + | 0.138418i | ||||
\(789\) | 8.04770e9 | − | 1.33141e10i | 0.583314 | − | 0.965035i | ||||
\(790\) | −2.60950e9 | − | 6.37391e9i | −0.188305 | − | 0.459951i | ||||
\(791\) | 1.70481e9 | 0.122478 | ||||||||
\(792\) | 1.20267e9 | + | 1.53105e10i | 0.0860215 | + | 1.09509i | ||||
\(793\) | −1.04549e10 | −0.744501 | ||||||||
\(794\) | −7.19570e9 | − | 1.75761e10i | −0.510154 | − | 1.24609i | ||||
\(795\) | −6.40672e9 | + | 1.05993e10i | −0.452221 | + | 0.748155i | ||||
\(796\) | −2.44923e9 | − | 2.48986e9i | −0.172121 | − | 0.174976i | ||||
\(797\) | −2.62634e10 | −1.83758 | −0.918791 | − | 0.394745i | \(-0.870833\pi\) | ||||
−0.918791 | + | 0.394745i | \(0.870833\pi\) | |||||||
\(798\) | −7.11911e9 | − | 1.11310e9i | −0.495924 | − | 0.0775395i | ||||
\(799\) | 3.15169e10i | 2.18590i | ||||||||
\(800\) | 1.01032e10 | + | 2.58842e10i | 0.697659 | + | 1.78739i | ||||
\(801\) | 1.22778e10 | − | 6.44554e9i | 0.844124 | − | 0.443145i | ||||
\(802\) | 6.64627e9 | + | 1.62340e10i | 0.454954 | + | 1.11126i | ||||
\(803\) | 2.76081e9i | 0.188162i | ||||||||
\(804\) | 4.42491e9 | + | 1.86056e10i | 0.300267 | + | 1.26255i | ||||
\(805\) | − | 1.73860e9i | − | 0.117466i | ||||||
\(806\) | −4.98817e9 | + | 2.04217e9i | −0.335558 | + | 0.137379i | ||||
\(807\) | 8.78622e9 | − | 1.45359e10i | 0.588498 | − | 0.973611i | ||||
\(808\) | −1.04517e10 | + | 2.43775e10i | −0.697023 | + | 1.62574i | ||||
\(809\) | − | 6.29708e9i | − | 0.418138i | −0.977901 | − | 0.209069i | \(-0.932957\pi\) | ||
0.977901 | − | 0.209069i | \(-0.0670433\pi\) | |||||||
\(810\) | 5.52185e9 | − | 2.52432e10i | 0.365079 | − | 1.66896i | ||||
\(811\) | 2.22720e10 | 1.46617 | 0.733087 | − | 0.680134i | \(-0.238079\pi\) | ||||
0.733087 | + | 0.680134i | \(0.238079\pi\) | |||||||
\(812\) | −7.48900e9 | − | 7.61322e9i | −0.490883 | − | 0.499025i | ||||
\(813\) | −2.30242e10 | − | 1.39170e10i | −1.50269 | − | 0.908297i | ||||
\(814\) | 9.65662e8 | − | 3.95345e8i | 0.0627537 | − | 0.0256916i | ||||
\(815\) | 2.37352e10 | 1.53582 | ||||||||
\(816\) | −1.31441e10 | + | 2.09588e10i | −0.846866 | + | 1.35037i | ||||
\(817\) | 7.01280e9 | 0.449898 | ||||||||
\(818\) | −7.14028e9 | + | 2.92325e9i | −0.456119 | + | 0.186737i | ||||
\(819\) | −2.07696e9 | − | 3.95630e9i | −0.132110 | − | 0.251649i | ||||
\(820\) | 1.83457e9 | + | 1.86500e9i | 0.116195 | + | 0.118122i | ||||
\(821\) | 6.22873e9 | 0.392825 | 0.196412 | − | 0.980521i | \(-0.437071\pi\) | ||||
0.196412 | + | 0.980521i | \(0.437071\pi\) | |||||||
\(822\) | 1.69986e10 | + | 2.65779e9i | 1.06748 | + | 0.166905i | ||||
\(823\) | − | 5.68307e9i | − | 0.355372i | −0.984087 | − | 0.177686i | \(-0.943139\pi\) | ||
0.984087 | − | 0.177686i | \(-0.0568612\pi\) | |||||||
\(824\) | 1.04893e10 | + | 4.49723e9i | 0.653134 | + | 0.280027i | ||||
\(825\) | −2.90913e10 | − | 1.75842e10i | −1.80374 | − | 1.09027i | ||||
\(826\) | −3.54620e9 | + | 1.45182e9i | −0.218944 | + | 0.0896363i | ||||
\(827\) | 5.74742e9i | 0.353349i | 0.984269 | + | 0.176674i | \(0.0565340\pi\) | ||||
−0.984269 | + | 0.176674i | \(0.943466\pi\) | |||||||
\(828\) | 1.53417e9 | + | 4.91769e8i | 0.0939222 | + | 0.0301061i | ||||
\(829\) | − | 1.72035e10i | − | 1.04876i | −0.851484 | − | 0.524381i | \(-0.824297\pi\) | ||
0.851484 | − | 0.524381i | \(-0.175703\pi\) | |||||||
\(830\) | 7.32086e9 | + | 1.78818e10i | 0.444415 | + | 1.08552i | ||||
\(831\) | −1.41700e10 | − | 8.56506e9i | −0.856579 | − | 0.517758i | ||||
\(832\) | −4.90587e9 | + | 4.66954e9i | −0.295314 | + | 0.281088i | ||||
\(833\) | 1.36682e10i | 0.819318i | ||||||||
\(834\) | −1.29653e9 | + | 8.29228e9i | −0.0773928 | + | 0.494986i | ||||
\(835\) | −4.59181e10 | −2.72949 | ||||||||
\(836\) | −9.37003e9 | − | 9.52546e9i | −0.554650 | − | 0.563850i | ||||
\(837\) | −9.08555e8 | + | 1.50600e10i | −0.0535565 | + | 0.887740i | ||||
\(838\) | 4.76213e8 | + | 1.16319e9i | 0.0279542 | + | 0.0682804i | ||||
\(839\) | 1.00089e10 | 0.585085 | 0.292543 | − | 0.956252i | \(-0.405499\pi\) | ||||
0.292543 | + | 0.956252i | \(0.405499\pi\) | |||||||
\(840\) | 1.66264e10 | − | 1.19219e10i | 0.967880 | − | 0.694015i | ||||
\(841\) | 1.42324e8 | 0.00825073 | ||||||||
\(842\) | 4.62501e9 | + | 1.12969e10i | 0.267005 | + | 0.652182i | ||||
\(843\) | −1.32203e10 | − | 7.99097e9i | −0.760052 | − | 0.459413i | ||||
\(844\) | −1.01120e10 | + | 9.94701e9i | −0.578947 | + | 0.569500i | ||||
\(845\) | 2.49831e10 | 1.42445 | ||||||||
\(846\) | 1.84913e10 | + | 1.55366e10i | 1.04996 | + | 0.882183i | ||||
\(847\) | − | 2.54731e9i | − | 0.144042i | ||||||
\(848\) | 1.49475e8 | − | 9.08542e9i | 0.00841751 | − | 0.511634i | ||||
\(849\) | −5.72036e9 | + | 9.46376e9i | −0.320809 | + | 0.530746i | ||||
\(850\) | −2.07470e10 | − | 5.06762e10i | −1.15875 | − | 2.83033i | ||||
\(851\) | − | 1.09462e8i | − | 0.00608849i | ||||||
\(852\) | −3.00752e9 | − | 1.26459e10i | −0.166598 | − | 0.700504i | ||||
\(853\) | 4.78706e9i | 0.264087i | 0.991244 | + | 0.132044i | \(0.0421539\pi\) | ||||
−0.991244 | + | 0.132044i | \(0.957846\pi\) | |||||||
\(854\) | −2.14430e10 | + | 8.77885e9i | −1.17810 | + | 0.482320i | ||||
\(855\) | 1.04498e10 | + | 1.99054e10i | 0.571779 | + | 1.08915i | ||||
\(856\) | −7.52187e9 | − | 3.22495e9i | −0.409890 | − | 0.175738i | ||||
\(857\) | 6.87322e9i | 0.373016i | 0.982453 | + | 0.186508i | \(0.0597171\pi\) | ||||
−0.982453 | + | 0.186508i | \(0.940283\pi\) | |||||||
\(858\) | 1.27996e9 | − | 8.18634e9i | 0.0691817 | − | 0.442470i | ||||
\(859\) | −1.29437e10 | −0.696760 | −0.348380 | − | 0.937353i | \(-0.613268\pi\) | ||||
−0.348380 | + | 0.937353i | \(0.613268\pi\) | |||||||
\(860\) | −1.41949e10 | + | 1.39633e10i | −0.761007 | + | 0.748590i | ||||
\(861\) | 6.55034e8 | − | 1.08369e9i | 0.0349746 | − | 0.0578620i | ||||
\(862\) | 1.39640e10 | − | 5.71692e9i | 0.742566 | − | 0.304009i | ||||
\(863\) | 3.10825e10 | 1.64618 | 0.823091 | − | 0.567909i | \(-0.192248\pi\) | ||||
0.823091 | + | 0.567909i | \(0.192248\pi\) | |||||||
\(864\) | 5.81730e9 | + | 1.80437e10i | 0.306848 | + | 0.951758i | ||||
\(865\) | 1.19227e10 | 0.626350 | ||||||||
\(866\) | 6.02109e9 | − | 2.46505e9i | 0.315037 | − | 0.128977i | ||||
\(867\) | 1.52937e10 | − | 2.53020e10i | 0.796979 | − | 1.31852i | ||||
\(868\) | −8.51592e9 | + | 8.37697e9i | −0.441990 | + | 0.434778i | ||||
\(869\) | −6.18186e9 | −0.319558 | ||||||||
\(870\) | −5.14708e9 | + | 3.29195e10i | −0.264999 | + | 1.69487i | ||||
\(871\) | − | 1.03182e10i | − | 0.529101i | ||||||
\(872\) | −6.99374e8 | − | 2.99852e8i | −0.0357192 | − | 0.0153144i | ||||
\(873\) | −7.25768e9 | − | 1.38248e10i | −0.369189 | − | 0.703249i | ||||
\(874\) | −1.29717e9 | + | 5.31066e8i | −0.0657215 | + | 0.0269066i | ||||
\(875\) | 2.16830e10i | 1.09419i | ||||||||
\(876\) | 7.88538e8 | + | 3.31560e9i | 0.0396331 | + | 0.166647i | ||||
\(877\) | 1.59764e10i | 0.799799i | 0.916559 | + | 0.399900i | \(0.130955\pi\) | ||||
−0.916559 | + | 0.399900i | \(0.869045\pi\) | |||||||
\(878\) | 1.03064e10 | + | 2.51741e10i | 0.513896 | + | 1.25523i | ||||
\(879\) | 3.92922e9 | − | 6.50050e9i | 0.195139 | − | 0.322839i | ||||
\(880\) | 3.79326e10 | + | 6.24076e8i | 1.87639 | + | 0.0308708i | ||||
\(881\) | 2.70049e10i | 1.33054i | 0.746604 | + | 0.665269i | \(0.231683\pi\) | ||||
−0.746604 | + | 0.665269i | \(0.768317\pi\) | |||||||
\(882\) | 8.01928e9 | + | 6.73786e9i | 0.393546 | + | 0.330660i | ||||
\(883\) | 1.73646e10 | 0.848794 | 0.424397 | − | 0.905476i | \(-0.360486\pi\) | ||||
0.424397 | + | 0.905476i | \(0.360486\pi\) | |||||||
\(884\) | 9.51542e9 | − | 9.36016e9i | 0.463282 | − | 0.455722i | ||||
\(885\) | 1.02317e10 | + | 6.18451e9i | 0.496186 | + | 0.299919i | ||||
\(886\) | −5.12185e9 | − | 1.25105e10i | −0.247405 | − | 0.604306i | ||||
\(887\) | −2.27435e10 | −1.09427 | −0.547136 | − | 0.837043i | \(-0.684282\pi\) | ||||
−0.547136 | + | 0.837043i | \(0.684282\pi\) | |||||||
\(888\) | 1.04680e9 | − | 7.50603e8i | 0.0501669 | − | 0.0359720i | ||||
\(889\) | 1.34956e10 | 0.644224 | ||||||||
\(890\) | −1.29786e10 | − | 3.17012e10i | −0.617109 | − | 1.50734i | ||||
\(891\) | −1.90903e10 | − | 1.31711e10i | −0.904151 | − | 0.623807i | ||||
\(892\) | −2.45152e10 | − | 2.49219e10i | −1.15653 | − | 1.17572i | ||||
\(893\) | −2.10129e10 | −0.987427 | ||||||||
\(894\) | −7.80568e8 | + | 4.99233e9i | −0.0365367 | + | 0.233680i | ||||
\(895\) | − | 3.51058e10i | − | 1.63681i | ||||||
\(896\) | −6.14098e9 | + | 1.36966e10i | −0.285206 | + | 0.636113i | ||||
\(897\) | −7.43874e8 | − | 4.49634e8i | −0.0344133 | − | 0.0208011i | ||||
\(898\) | 5.48288e9 | + | 1.33924e10i | 0.252663 | + | 0.617149i | ||||
\(899\) | − | 1.94544e10i | − | 0.893015i | ||||||
\(900\) | −3.99598e10 | − | 1.28088e10i | −1.82715 | − | 0.585680i | ||||
\(901\) | 1.79073e10i | 0.815629i | ||||||||
\(902\) | 2.17303e9 | − | 8.89648e8i | 0.0985924 | − | 0.0403641i | ||||
\(903\) | 8.24819e9 | + | 4.98560e9i | 0.372779 | + | 0.225326i | ||||
\(904\) | 3.58671e9 | + | 1.53778e9i | 0.161475 | + | 0.0692315i | ||||
\(905\) | − | 6.05074e10i | − | 2.71355i | ||||||
\(906\) | 5.27939e9 | + | 8.25451e8i | 0.235850 | + | 0.0368759i | ||||
\(907\) | 1.70413e10 | 0.758362 | 0.379181 | − | 0.925322i | \(-0.376206\pi\) | ||||
0.379181 | + | 0.925322i | \(0.376206\pi\) | |||||||
\(908\) | 1.18921e10 | + | 1.20894e10i | 0.527179 | + | 0.535924i | ||||
\(909\) | −1.86187e10 | − | 3.54658e10i | −0.822195 | − | 1.56616i | ||||
\(910\) | −1.02152e10 | + | 4.18212e9i | −0.449366 | + | 0.183972i | ||||
\(911\) | −1.00724e10 | −0.441385 | −0.220692 | − | 0.975343i | \(-0.570832\pi\) | ||||
−0.220692 | + | 0.975343i | \(0.570832\pi\) | |||||||
\(912\) | −1.39736e10 | − | 8.76339e9i | −0.609997 | − | 0.382552i | ||||
\(913\) | 1.73430e10 | 0.754182 | ||||||||
\(914\) | 1.36427e10 | − | 5.58536e9i | 0.591000 | − | 0.241958i | ||||
\(915\) | 6.18685e10 | + | 3.73963e10i | 2.66991 | + | 1.61382i | ||||
\(916\) | 2.90829e10 | + | 2.95653e10i | 1.25027 | + | 1.27101i | ||||
\(917\) | 2.74302e10 | 1.17473 | ||||||||
\(918\) | −1.20477e10 | − | 3.53657e10i | −0.513990 | − | 1.50880i | ||||
\(919\) | 3.16312e10i | 1.34435i | 0.740393 | + | 0.672174i | \(0.234639\pi\) | ||||
−0.740393 | + | 0.672174i | \(0.765361\pi\) | |||||||
\(920\) | 1.56825e9 | − | 3.65778e9i | 0.0663984 | − | 0.154867i | ||||
\(921\) | −4.82835e9 | + | 7.98802e9i | −0.203653 | + | 0.336923i | ||||
\(922\) | −3.90740e10 | + | 1.59970e10i | −1.64184 | + | 0.672174i | ||||
\(923\) | 7.01304e9i | 0.293562i | ||||||||
\(924\) | −4.24874e9 | − | 1.78649e10i | −0.177178 | − | 0.744987i | ||||
\(925\) | 2.85109e9i | 0.118445i | ||||||||
\(926\) | −7.65685e9 | − | 1.87025e10i | −0.316892 | − | 0.774034i | ||||
\(927\) | −1.52604e10 | + | 8.01136e9i | −0.629199 | + | 0.330314i | ||||
\(928\) | −8.88859e9 | − | 2.27724e10i | −0.365103 | − | 0.935388i | ||||
\(929\) | 1.74385e10i | 0.713597i | 0.934181 | + | 0.356799i | \(0.116132\pi\) | ||||
−0.934181 | + | 0.356799i | \(0.883868\pi\) | |||||||
\(930\) | 3.68228e10 | + | 5.75737e9i | 1.50116 | + | 0.234711i | ||||
\(931\) | −9.11280e9 | −0.370108 | ||||||||
\(932\) | 4.99334e9 | + | 5.07616e9i | 0.202039 | + | 0.205390i | ||||
\(933\) | −1.42307e10 | + | 2.35432e10i | −0.573640 | + | 0.949029i | ||||
\(934\) | 8.41854e9 | + | 2.05629e10i | 0.338082 | + | 0.825793i | ||||
\(935\) | −7.47648e10 | −2.99128 | ||||||||
\(936\) | −8.00994e8 | − | 1.01970e10i | −0.0319274 | − | 0.406450i | ||||
\(937\) | −3.67462e10 | −1.45923 | −0.729615 | − | 0.683858i | \(-0.760301\pi\) | ||||
−0.729615 | + | 0.683858i | \(0.760301\pi\) | |||||||
\(938\) | −8.66400e9 | − | 2.11625e10i | −0.342774 | − | 0.837253i | ||||
\(939\) | −2.32022e10 | + | 3.83857e10i | −0.914532 | + | 1.51300i | ||||
\(940\) | 4.25331e10 | − | 4.18391e10i | 1.67024 | − | 1.64299i | ||||
\(941\) | −9.56897e8 | −0.0374371 | −0.0187185 | − | 0.999825i | \(-0.505959\pi\) | ||||
−0.0187185 | + | 0.999825i | \(0.505959\pi\) | |||||||
\(942\) | −9.57816e9 | − | 1.49758e9i | −0.373340 | − | 0.0583729i | ||||
\(943\) | − | 2.46323e8i | − | 0.00956563i | ||||||
\(944\) | −8.77030e9 | − | 1.44291e8i | −0.339323 | − | 0.00558261i | ||||
\(945\) | −1.86061e9 | + | 3.08410e10i | −0.0717206 | + | 1.18882i | ||||
\(946\) | 6.77129e9 | + | 1.65394e10i | 0.260047 | + | 0.635186i | ||||
\(947\) | − | 4.40484e10i | − | 1.68541i | −0.538377 | − | 0.842704i | \(-0.680962\pi\) | ||
0.538377 | − | 0.842704i | \(-0.319038\pi\) | |||||||
\(948\) | −7.42414e9 | + | 1.76565e9i | −0.283020 | + | 0.0673095i | ||||
\(949\) | − | 1.83874e9i | − | 0.0698375i | ||||||
\(950\) | 3.37867e10 | − | 1.38324e10i | 1.27854 | − | 0.523437i | ||||
\(951\) | 1.44179e10 | − | 2.38529e10i | 0.543587 | − | 0.899311i | ||||
\(952\) | 1.16565e10 | − | 2.71876e10i | 0.437864 | − | 1.02127i | ||||
\(953\) | 1.16259e10i | 0.435113i | 0.976048 | + | 0.217557i | \(0.0698087\pi\) | ||||
−0.976048 | + | 0.217557i | \(0.930191\pi\) | |||||||
\(954\) | 1.05064e10 | + | 8.82757e9i | 0.391774 | + | 0.329171i | ||||
\(955\) | 2.06960e10 | 0.768907 | ||||||||
\(956\) | 3.15344e10 | − | 3.10199e10i | 1.16730 | − | 1.14825i | ||||
\(957\) | 2.55940e10 | + | 1.54703e10i | 0.943945 | + | 0.570567i | ||||
\(958\) | 3.11484e10 | − | 1.27523e10i | 1.14461 | − | 0.468607i | ||||
\(959\) | −2.05722e10 | −0.753210 | ||||||||
\(960\) | 4.57336e10 | − | 1.00848e10i | 1.66835 | − | 0.367889i | ||||
\(961\) | 5.75150e9 | 0.209050 | ||||||||
\(962\) | −6.43145e8 | + | 2.63306e8i | −0.0232914 | + | 0.00953560i | ||||
\(963\) | 1.09432e10 | − | 5.74493e9i | 0.394869 | − | 0.207297i | ||||
\(964\) | −2.49695e9 | + | 2.45620e9i | −0.0897717 | + | 0.0883070i | ||||
\(965\) | 3.39778e10 | 1.21717 | ||||||||
\(966\) | −1.90323e9 | − | 2.97577e8i | −0.0679316 | − | 0.0106213i | ||||
\(967\) | − | 1.71012e10i | − | 0.608183i | −0.952643 | − | 0.304092i | \(-0.901647\pi\) | ||
0.952643 | − | 0.304092i | \(-0.0983529\pi\) | |||||||
\(968\) | 2.29773e9 | − | 5.35921e9i | 0.0814207 | − | 0.189905i | ||||
\(969\) | 2.78185e10 | + | 1.68149e10i | 0.982202 | + | 0.593691i | ||||
\(970\) | −3.56956e10 | + | 1.46139e10i | −1.25578 | + | 0.514120i | ||||
\(971\) | 2.77609e10i | 0.973121i | 0.873647 | + | 0.486560i | \(0.161749\pi\) | ||||
−0.873647 | + | 0.486560i | \(0.838251\pi\) | |||||||
\(972\) | −2.66885e10 | − | 1.03654e10i | −0.932164 | − | 0.362036i | ||||
\(973\) | − | 1.00356e10i | − | 0.349259i | ||||||
\(974\) | −5.38385e9 | − | 1.31505e10i | −0.186697 | − | 0.456021i | ||||
\(975\) | 1.93753e10 | + | 1.17114e10i | 0.669471 | + | 0.404661i | ||||
\(976\) | −5.30320e10 | − | 8.72494e8i | −1.82585 | − | 0.0300392i | ||||
\(977\) | 3.13262e10i | 1.07467i | 0.843368 | + | 0.537337i | \(0.180570\pi\) | ||||
−0.843368 | + | 0.537337i | \(0.819430\pi\) | |||||||
\(978\) | 4.06250e9 | − | 2.59828e10i | 0.138870 | − | 0.888177i | ||||
\(979\) | −3.07460e10 | −1.04725 | ||||||||
\(980\) | 1.84456e10 | − | 1.81447e10i | 0.626041 | − | 0.615826i | ||||
\(981\) | 1.01749e9 | − | 5.34156e8i | 0.0344102 | − | 0.0180645i | ||||
\(982\) | 1.26925e10 | + | 3.10024e10i | 0.427717 | + | 1.04473i | ||||
\(983\) | 4.78593e9 | 0.160705 | 0.0803524 | − | 0.996767i | \(-0.474395\pi\) | ||||
0.0803524 | + | 0.996767i | \(0.474395\pi\) | |||||||
\(984\) | 2.35562e9 | − | 1.68909e9i | 0.0788173 | − | 0.0565157i | ||||
\(985\) | −1.01142e10 | −0.337214 | ||||||||
\(986\) | 1.82528e10 | + | 4.45840e10i | 0.606403 | + | 1.48119i | ||||
\(987\) | −2.47145e10 | − | 1.49387e10i | −0.818167 | − | 0.494540i | ||||
\(988\) | 6.24058e9 | + | 6.34410e9i | 0.205862 | + | 0.209277i | ||||
\(989\) | 1.87481e9 | 0.0616270 | ||||||||
\(990\) | −3.68561e10 | + | 4.38654e10i | −1.20722 | + | 1.43681i | ||||
\(991\) | − | 1.38921e10i | − | 0.453431i | −0.973961 | − | 0.226715i | \(-0.927201\pi\) | ||
0.973961 | − | 0.226715i | \(-0.0727987\pi\) | |||||||
\(992\) | −2.54726e10 | + | 9.94251e9i | −0.828480 | + | 0.323374i | ||||
\(993\) | 2.97846e10 | − | 4.92757e10i | 0.965316 | − | 1.59702i | ||||
\(994\) | 5.88874e9 | + | 1.43837e10i | 0.190182 | + | 0.464535i | ||||
\(995\) | − | 1.30295e10i | − | 0.419321i | ||||||
\(996\) | 2.08281e10 | − | 4.95348e9i | 0.667948 | − | 0.158856i | ||||
\(997\) | 2.60033e10i | 0.830989i | 0.909596 | + | 0.415494i | \(0.136391\pi\) | ||||
−0.909596 | + | 0.415494i | \(0.863609\pi\) | |||||||
\(998\) | −1.59025e10 | + | 6.51053e9i | −0.506417 | + | 0.207329i | ||||
\(999\) | −1.17144e8 | + | 1.94175e9i | −0.00371741 | + | 0.0616189i |
(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 | 24.8.f.c.11.4 | yes | 20 | |
3.2 | odd | 2 | inner | 24.8.f.c.11.17 | yes | 20 | |
4.3 | odd | 2 | 96.8.f.c.47.14 | 20 | |||
8.3 | odd | 2 | inner | 24.8.f.c.11.18 | yes | 20 | |
8.5 | even | 2 | 96.8.f.c.47.13 | 20 | |||
12.11 | even | 2 | 96.8.f.c.47.15 | 20 | |||
24.5 | odd | 2 | 96.8.f.c.47.16 | 20 | |||
24.11 | even | 2 | inner | 24.8.f.c.11.3 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
24.8.f.c.11.3 | ✓ | 20 | 24.11 | even | 2 | inner | |
24.8.f.c.11.4 | yes | 20 | 1.1 | even | 1 | trivial | |
24.8.f.c.11.17 | yes | 20 | 3.2 | odd | 2 | inner | |
24.8.f.c.11.18 | yes | 20 | 8.3 | odd | 2 | inner | |
96.8.f.c.47.13 | 20 | 8.5 | even | 2 | |||
96.8.f.c.47.14 | 20 | 4.3 | odd | 2 | |||
96.8.f.c.47.15 | 20 | 12.11 | even | 2 | |||
96.8.f.c.47.16 | 20 | 24.5 | odd | 2 |