Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.12 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.12.e.a.5.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.445844 | − | 45.2526i | −0.00985185 | − | 0.999951i | ||||
\(3\) | −296.568 | − | 296.568i | −0.704623 | − | 0.704623i | 0.260776 | − | 0.965399i | \(-0.416022\pi\) |
−0.965399 | + | 0.260776i | \(0.916022\pi\) | |||||||
\(4\) | −2047.60 | + | 40.3512i | −0.999806 | + | 0.0197027i | ||||
\(5\) | −2867.98 | + | 2867.98i | −0.410432 | + | 0.410432i | −0.881889 | − | 0.471457i | \(-0.843728\pi\) |
0.471457 | + | 0.881889i | \(0.343728\pi\) | |||||||
\(6\) | −13288.2 | + | 13552.7i | −0.697647 | + | 0.711531i | ||||
\(7\) | 8380.90i | 0.188474i | 0.995550 | + | 0.0942370i | \(0.0300411\pi\) | ||||
−0.995550 | + | 0.0942370i | \(0.969959\pi\) | |||||||
\(8\) | 2738.91 | + | 92641.4i | 0.0295517 | + | 0.999563i | ||||
\(9\) | − | 1242.24i | − | 0.00701249i | ||||||
\(10\) | 131062. | + | 128505.i | 0.414456 | + | 0.406369i | ||||
\(11\) | 84515.5 | − | 84515.5i | 0.158226 | − | 0.158226i | −0.623554 | − | 0.781780i | \(-0.714312\pi\) |
0.781780 | + | 0.623554i | \(0.214312\pi\) | |||||||
\(12\) | 619220. | + | 595286.i | 0.718369 | + | 0.690603i | ||||
\(13\) | −385486. | − | 385486.i | −0.287952 | − | 0.287952i | 0.548318 | − | 0.836270i | \(-0.315268\pi\) |
−0.836270 | + | 0.548318i | \(0.815268\pi\) | |||||||
\(14\) | 379258. | − | 3736.57i | 0.188465 | − | 0.00185682i | ||||
\(15\) | 1.70110e6 | 0.578400 | ||||||||
\(16\) | 4.19105e6 | − | 165246.i | 0.999224 | − | 0.0393978i | ||||
\(17\) | 1.56551e6 | 0.267416 | 0.133708 | − | 0.991021i | \(-0.457311\pi\) | ||||
0.133708 | + | 0.991021i | \(0.457311\pi\) | |||||||
\(18\) | −56214.7 | + | 553.845i | −0.00701215 | + | 6.90860e-5i | ||||
\(19\) | 9.59253e6 | + | 9.59253e6i | 0.888768 | + | 0.888768i | 0.994405 | − | 0.105637i | \(-0.0336882\pi\) |
−0.105637 | + | 0.994405i | \(0.533688\pi\) | |||||||
\(20\) | 5.75676e6 | − | 5.98822e6i | 0.402266 | − | 0.418439i | ||||
\(21\) | 2.48550e6 | − | 2.48550e6i | 0.132803 | − | 0.132803i | ||||
\(22\) | −3.86223e6 | − | 3.78687e6i | −0.159777 | − | 0.156659i | ||||
\(23\) | 3.88214e7i | 1.25767i | 0.777537 | + | 0.628837i | \(0.216469\pi\) | ||||
−0.777537 | + | 0.628837i | \(0.783531\pi\) | |||||||
\(24\) | 2.66622e7 | − | 2.82867e7i | 0.683493 | − | 0.725138i | ||||
\(25\) | 3.23775e7i | 0.663091i | ||||||||
\(26\) | −1.72724e7 | + | 1.76161e7i | −0.285101 | + | 0.290775i | ||||
\(27\) | −5.29045e7 | + | 5.29045e7i | −0.709564 | + | 0.709564i | ||||
\(28\) | −338179. | − | 1.71608e7i | −0.00371345 | − | 0.188437i | ||||
\(29\) | −8.81048e7 | − | 8.81048e7i | −0.797647 | − | 0.797647i | 0.185077 | − | 0.982724i | \(-0.440746\pi\) |
−0.982724 | + | 0.185077i | \(0.940746\pi\) | |||||||
\(30\) | −758426. | − | 7.69794e7i | −0.00569831 | − | 0.578372i | ||||
\(31\) | −7.23333e7 | −0.453784 | −0.226892 | − | 0.973920i | \(-0.572856\pi\) | ||||
−0.226892 | + | 0.973920i | \(0.572856\pi\) | |||||||
\(32\) | −9.34639e6 | − | 1.89582e8i | −0.0492401 | − | 0.998787i | ||||
\(33\) | −5.01291e7 | −0.222979 | ||||||||
\(34\) | −697975. | − | 7.08437e7i | −0.00263455 | − | 0.267403i | ||||
\(35\) | −2.40363e7 | − | 2.40363e7i | −0.0773558 | − | 0.0773558i | ||||
\(36\) | 50125.9 | + | 2.54362e6i | 0.000138165 | + | 0.00701113i | ||||
\(37\) | −9.98585e7 | + | 9.98585e7i | −0.236742 | + | 0.236742i | −0.815500 | − | 0.578758i | \(-0.803538\pi\) |
0.578758 | + | 0.815500i | \(0.303538\pi\) | |||||||
\(38\) | 4.29810e8 | − | 4.38364e8i | 0.879968 | − | 0.897480i | ||||
\(39\) | 2.28645e8i | 0.405795i | ||||||||
\(40\) | −2.73549e8 | − | 2.57839e8i | −0.422382 | − | 0.398124i | ||||
\(41\) | 1.13304e9i | 1.52733i | 0.645611 | + | 0.763667i | \(0.276603\pi\) | ||||
−0.645611 | + | 0.763667i | \(0.723397\pi\) | |||||||
\(42\) | −1.13584e8 | − | 1.11367e8i | −0.134105 | − | 0.131488i | ||||
\(43\) | −1.05585e9 | + | 1.05585e9i | −1.09528 | + | 1.09528i | −0.100329 | + | 0.994954i | \(0.531990\pi\) |
−0.994954 | + | 0.100329i | \(0.968010\pi\) | |||||||
\(44\) | −1.69644e8 | + | 1.76465e8i | −0.155077 | + | 0.161312i | ||||
\(45\) | 3.56273e6 | + | 3.56273e6i | 0.00287815 | + | 0.00287815i | ||||
\(46\) | 1.75677e9 | − | 1.73083e7i | 1.25761 | − | 0.0123904i | ||||
\(47\) | 1.33450e9 | 0.848750 | 0.424375 | − | 0.905486i | \(-0.360494\pi\) | ||||
0.424375 | + | 0.905486i | \(0.360494\pi\) | |||||||
\(48\) | −1.29194e9 | − | 1.19392e9i | −0.731837 | − | 0.676315i | ||||
\(49\) | 1.90709e9 | 0.964478 | ||||||||
\(50\) | 1.46517e9 | − | 1.44353e7i | 0.663058 | − | 0.00653267i | ||||
\(51\) | −4.64281e8 | − | 4.64281e8i | −0.188428 | − | 0.188428i | ||||
\(52\) | 8.04877e8 | + | 7.73767e8i | 0.293570 | + | 0.282223i | ||||
\(53\) | 2.50213e9 | − | 2.50213e9i | 0.821850 | − | 0.821850i | −0.164523 | − | 0.986373i | \(-0.552608\pi\) |
0.986373 | + | 0.164523i | \(0.0526085\pi\) | |||||||
\(54\) | 2.41765e9 | + | 2.37048e9i | 0.716520 | + | 0.702539i | ||||
\(55\) | 4.84778e8i | 0.129882i | ||||||||
\(56\) | −7.76419e8 | + | 2.29545e7i | −0.188392 | + | 0.00556973i | ||||
\(57\) | − | 5.68967e9i | − | 1.25249i | ||||||
\(58\) | −3.94769e9 | + | 4.02626e9i | −0.789750 | + | 0.805466i | ||||
\(59\) | −3.81835e9 | + | 3.81835e9i | −0.695329 | + | 0.695329i | −0.963399 | − | 0.268071i | \(-0.913614\pi\) |
0.268071 | + | 0.963399i | \(0.413614\pi\) | |||||||
\(60\) | −3.48318e9 | + | 6.86415e7i | −0.578288 | + | 0.0113961i | ||||
\(61\) | −7.73084e9 | − | 7.73084e9i | −1.17196 | − | 1.17196i | −0.981742 | − | 0.190218i | \(-0.939081\pi\) |
−0.190218 | − | 0.981742i | \(-0.560919\pi\) | |||||||
\(62\) | 3.22493e7 | + | 3.27327e9i | 0.00447061 | + | 0.453762i | ||||
\(63\) | 1.04111e7 | 0.00132167 | ||||||||
\(64\) | −8.57493e9 | + | 5.07473e8i | −0.998253 | + | 0.0590776i | ||||
\(65\) | 2.21114e9 | 0.236370 | ||||||||
\(66\) | 2.23498e7 | + | 2.26848e9i | 0.00219675 | + | 0.222968i | ||||
\(67\) | 2.91020e9 | + | 2.91020e9i | 0.263337 | + | 0.263337i | 0.826408 | − | 0.563071i | \(-0.190380\pi\) |
−0.563071 | + | 0.826408i | \(0.690380\pi\) | |||||||
\(68\) | −3.20555e9 | + | 6.31704e7i | −0.267365 | + | 0.00526884i | ||||
\(69\) | 1.15132e10 | − | 1.15132e10i | 0.886186 | − | 0.886186i | ||||
\(70\) | −1.07699e9 | + | 1.09842e9i | −0.0765900 | + | 0.0781142i | ||||
\(71\) | 1.77198e10i | 1.16557i | 0.812628 | + | 0.582783i | \(0.198036\pi\) | ||||
−0.812628 | + | 0.582783i | \(0.801964\pi\) | |||||||
\(72\) | 1.15083e8 | − | 3.40239e6i | 0.00700943 | − | 0.000207231i | ||||
\(73\) | − | 2.04116e10i | − | 1.15239i | −0.817311 | − | 0.576197i | \(-0.804536\pi\) | ||
0.817311 | − | 0.576197i | \(-0.195464\pi\) | |||||||
\(74\) | 4.56338e9 | + | 4.47434e9i | 0.239063 | + | 0.234398i | ||||
\(75\) | 9.60211e9 | − | 9.60211e9i | 0.467229 | − | 0.467229i | ||||
\(76\) | −2.00287e10 | − | 1.92546e10i | −0.906106 | − | 0.871084i | ||||
\(77\) | 7.08316e8 | + | 7.08316e8i | 0.0298214 | + | 0.0298214i | ||||
\(78\) | 1.03468e10 | − | 1.01940e8i | 0.405776 | − | 0.00399783i | ||||
\(79\) | −3.60858e10 | −1.31943 | −0.659717 | − | 0.751514i | \(-0.729324\pi\) | ||||
−0.659717 | + | 0.751514i | \(0.729324\pi\) | |||||||
\(80\) | −1.15459e10 | + | 1.24938e10i | −0.393944 | + | 0.426284i | ||||
\(81\) | 3.11595e10 | 0.992938 | ||||||||
\(82\) | 5.12730e10 | − | 5.05158e8i | 1.52726 | − | 0.0150471i | ||||
\(83\) | 5.73137e9 | + | 5.73137e9i | 0.159709 | + | 0.159709i | 0.782438 | − | 0.622729i | \(-0.213976\pi\) |
−0.622729 | + | 0.782438i | \(0.713976\pi\) | |||||||
\(84\) | −4.98903e9 | + | 5.18962e9i | −0.130161 | + | 0.135394i | ||||
\(85\) | −4.48987e9 | + | 4.48987e9i | −0.109756 | + | 0.109756i | ||||
\(86\) | 4.82508e10 | + | 4.73094e10i | 1.10602 | + | 1.08444i | ||||
\(87\) | 5.22581e10i | 1.12408i | ||||||||
\(88\) | 8.06112e9 | + | 7.59816e9i | 0.162832 | + | 0.153481i | ||||
\(89\) | 1.07134e10i | 0.203367i | 0.994817 | + | 0.101684i | \(0.0324230\pi\) | ||||
−0.994817 | + | 0.101684i | \(0.967577\pi\) | |||||||
\(90\) | 1.59634e8 | − | 1.62811e8i | 0.00284966 | − | 0.00290637i | ||||
\(91\) | 3.23072e9 | − | 3.23072e9i | 0.0542715 | − | 0.0542715i | ||||
\(92\) | −1.56649e9 | − | 7.94908e10i | −0.0247796 | − | 1.25743i | ||||
\(93\) | 2.14517e10 | + | 2.14517e10i | 0.319746 | + | 0.319746i | ||||
\(94\) | −5.94978e8 | − | 6.03896e10i | −0.00836176 | − | 0.848709i | ||||
\(95\) | −5.50224e10 | −0.729558 | ||||||||
\(96\) | −5.34521e10 | + | 5.89958e10i | −0.669073 | + | 0.738464i | ||||
\(97\) | −7.36209e9 | −0.0870475 | −0.0435238 | − | 0.999052i | \(-0.513858\pi\) | ||||
−0.0435238 | + | 0.999052i | \(0.513858\pi\) | |||||||
\(98\) | −8.50263e8 | − | 8.63007e10i | −0.00950188 | − | 0.964431i | ||||
\(99\) | −1.04989e8 | − | 1.04989e8i | −0.00110956 | − | 0.00110956i | ||||
\(100\) | −1.30647e9 | − | 6.62962e10i | −0.0130647 | − | 0.662962i | ||||
\(101\) | −8.80812e10 | + | 8.80812e10i | −0.833903 | + | 0.833903i | −0.988048 | − | 0.154145i | \(-0.950738\pi\) |
0.154145 | + | 0.988048i | \(0.450738\pi\) | |||||||
\(102\) | −2.08029e10 | + | 2.12169e10i | −0.186562 | + | 0.190275i | ||||
\(103\) | 1.00874e11i | 0.857383i | 0.903451 | + | 0.428691i | \(0.141025\pi\) | ||||
−0.903451 | + | 0.428691i | \(0.858975\pi\) | |||||||
\(104\) | 3.46562e10 | − | 3.67678e10i | 0.279317 | − | 0.296336i | ||||
\(105\) | 1.42568e10i | 0.109013i | ||||||||
\(106\) | −1.14344e11 | − | 1.12112e11i | −0.829907 | − | 0.813714i | ||||
\(107\) | 3.90961e10 | − | 3.90961e10i | 0.269478 | − | 0.269478i | −0.559412 | − | 0.828890i | \(-0.688973\pi\) |
0.828890 | + | 0.559412i | \(0.188973\pi\) | |||||||
\(108\) | 1.06193e11 | − | 1.10462e11i | 0.695446 | − | 0.723407i | ||||
\(109\) | −1.52858e11 | − | 1.52858e11i | −0.951576 | − | 0.951576i | 0.0473045 | − | 0.998881i | \(-0.484937\pi\) |
−0.998881 | + | 0.0473045i | \(0.984937\pi\) | |||||||
\(110\) | 2.19375e10 | − | 2.16135e8i | 0.129876 | − | 0.00127958i | ||||
\(111\) | 5.92296e10 | 0.333628 | ||||||||
\(112\) | 1.38491e9 | + | 3.51248e10i | 0.00742547 | + | 0.188328i | ||||
\(113\) | 8.86408e10 | 0.452587 | 0.226293 | − | 0.974059i | \(-0.427339\pi\) | ||||
0.226293 | + | 0.974059i | \(0.427339\pi\) | |||||||
\(114\) | −2.57472e11 | + | 2.53670e9i | −1.25243 | + | 0.0123394i | ||||
\(115\) | −1.11339e11 | − | 1.11339e11i | −0.516190 | − | 0.516190i | ||||
\(116\) | 1.83959e11 | + | 1.76848e11i | 0.813208 | + | 0.781776i | ||||
\(117\) | −4.78867e8 | + | 4.78867e8i | −0.00201926 | + | 0.00201926i | ||||
\(118\) | 1.74493e11 | + | 1.71088e11i | 0.702145 | + | 0.688445i | ||||
\(119\) | 1.31204e10i | 0.0504011i | ||||||||
\(120\) | 4.65916e9 | + | 1.57593e11i | 0.0170927 | + | 0.578148i | ||||
\(121\) | 2.71026e11i | 0.949929i | ||||||||
\(122\) | −3.46394e11 | + | 3.53288e11i | −1.16036 | + | 1.18345i | ||||
\(123\) | 3.36023e11 | − | 3.36023e11i | 1.07619 | − | 1.07619i | ||||
\(124\) | 1.48110e11 | − | 2.91873e9i | 0.453695 | − | 0.00894078i | ||||
\(125\) | −2.32896e11 | − | 2.32896e11i | −0.682586 | − | 0.682586i | ||||
\(126\) | −4.64172e6 | − | 4.71130e8i | −1.30209e−5 | − | 0.00132161i | ||||
\(127\) | 1.85470e11 | 0.498142 | 0.249071 | − | 0.968485i | \(-0.419875\pi\) | ||||
0.249071 | + | 0.968485i | \(0.419875\pi\) | |||||||
\(128\) | 2.67876e10 | + | 3.87812e11i | 0.0689094 | + | 0.997623i | ||||
\(129\) | 6.26263e11 | 1.54352 | ||||||||
\(130\) | −9.85821e8 | − | 1.00060e11i | −0.00232868 | − | 0.236358i | ||||
\(131\) | −1.99872e11 | − | 1.99872e11i | −0.452646 | − | 0.452646i | 0.443586 | − | 0.896232i | \(-0.353706\pi\) |
−0.896232 | + | 0.443586i | \(0.853706\pi\) | |||||||
\(132\) | 1.02645e11 | − | 2.02277e9i | 0.222936 | − | 0.00439329i | ||||
\(133\) | −8.03940e10 | + | 8.03940e10i | −0.167510 | + | 0.167510i | ||||
\(134\) | 1.30397e11 | − | 1.32992e11i | 0.260730 | − | 0.265918i | ||||
\(135\) | − | 3.03458e11i | − | 0.582456i | ||||||
\(136\) | 4.28780e9 | + | 1.45032e11i | 0.00790262 | + | 0.267300i | ||||
\(137\) | 1.03458e12i | 1.83147i | 0.401786 | + | 0.915734i | \(0.368390\pi\) | ||||
−0.401786 | + | 0.915734i | \(0.631610\pi\) | |||||||
\(138\) | −5.26134e11 | − | 5.15868e11i | −0.894874 | − | 0.877413i | ||||
\(139\) | 7.75928e11 | − | 7.75928e11i | 1.26835 | − | 1.26835i | 0.321415 | − | 0.946938i | \(-0.395842\pi\) |
0.946938 | − | 0.321415i | \(-0.104158\pi\) | |||||||
\(140\) | 5.01866e10 | + | 4.82469e10i | 0.0788649 | + | 0.0758167i | ||||
\(141\) | −3.95769e11 | − | 3.95769e11i | −0.598049 | − | 0.598049i | ||||
\(142\) | 8.01866e11 | − | 7.90024e9i | 1.16551 | − | 0.0114830i | ||||
\(143\) | −6.51591e10 | −0.0911228 | ||||||||
\(144\) | −2.05276e8 | − | 5.20629e9i | −0.000276277 | − | 0.00700704i | ||||
\(145\) | 5.05366e11 | 0.654760 | ||||||||
\(146\) | −9.23678e11 | + | 9.10037e9i | −1.15234 | + | 0.0113532i | ||||
\(147\) | −5.65580e11 | − | 5.65580e11i | −0.679593 | − | 0.679593i | ||||
\(148\) | 2.00441e11 | − | 2.08500e11i | 0.232032 | − | 0.241361i | ||||
\(149\) | −8.48328e11 | + | 8.48328e11i | −0.946323 | + | 0.946323i | −0.998631 | − | 0.0523077i | \(-0.983342\pi\) |
0.0523077 | + | 0.998631i | \(0.483342\pi\) | |||||||
\(150\) | −4.38802e11 | − | 4.30240e11i | −0.471809 | − | 0.462603i | ||||
\(151\) | 8.18468e11i | 0.848454i | 0.905556 | + | 0.424227i | \(0.139454\pi\) | ||||
−0.905556 | + | 0.424227i | \(0.860546\pi\) | |||||||
\(152\) | −8.62392e11 | + | 9.14938e11i | −0.862115 | + | 0.914644i | ||||
\(153\) | − | 1.94475e9i | − | 0.00187526i | ||||||
\(154\) | 3.17374e10 | − | 3.23690e10i | 0.0295262 | − | 0.0301138i | ||||
\(155\) | 2.07451e11 | − | 2.07451e11i | 0.186247 | − | 0.186247i | ||||
\(156\) | −9.22612e9 | − | 4.68175e11i | −0.00799528 | − | 0.405717i | ||||
\(157\) | −5.92527e11 | − | 5.92527e11i | −0.495747 | − | 0.495747i | 0.414364 | − | 0.910111i | \(-0.364004\pi\) |
−0.910111 | + | 0.414364i | \(0.864004\pi\) | |||||||
\(158\) | 1.60886e10 | + | 1.63298e12i | 0.0129989 | + | 1.31937i | ||||
\(159\) | −1.48410e12 | −1.15819 | ||||||||
\(160\) | 5.70524e11 | + | 5.16914e11i | 0.430144 | + | 0.389725i | ||||
\(161\) | −3.25358e11 | −0.237039 | ||||||||
\(162\) | −1.38922e10 | − | 1.41005e12i | −0.00978228 | − | 0.992890i | ||||
\(163\) | 2.74040e11 | + | 2.74040e11i | 0.186544 | + | 0.186544i | 0.794200 | − | 0.607656i | \(-0.207890\pi\) |
−0.607656 | + | 0.794200i | \(0.707890\pi\) | |||||||
\(164\) | −4.57195e10 | − | 2.32001e12i | −0.0300926 | − | 1.52704i | ||||
\(165\) | 1.43770e11 | − | 1.43770e11i | 0.0915177 | − | 0.0915177i | ||||
\(166\) | 2.56804e11 | − | 2.61915e11i | 0.158128 | − | 0.161275i | ||||
\(167\) | 2.53745e12i | 1.51167i | 0.654762 | + | 0.755836i | \(0.272769\pi\) | ||||
−0.654762 | + | 0.755836i | \(0.727231\pi\) | |||||||
\(168\) | 2.37068e11 | + | 2.23453e11i | 0.136670 | + | 0.128821i | ||||
\(169\) | − | 1.49496e12i | − | 0.834167i | ||||||
\(170\) | 2.05180e11 | + | 2.01177e11i | 0.110832 | + | 0.108670i | ||||
\(171\) | 1.19162e10 | − | 1.19162e10i | 0.00623247 | − | 0.00623247i | ||||
\(172\) | 2.11936e12 | − | 2.20457e12i | 1.07349 | − | 1.11665i | ||||
\(173\) | 5.71348e11 | + | 5.71348e11i | 0.280315 | + | 0.280315i | 0.833235 | − | 0.552919i | \(-0.186486\pi\) |
−0.552919 | + | 0.833235i | \(0.686486\pi\) | |||||||
\(174\) | 2.36482e12 | − | 2.32989e10i | 1.12403 | − | 0.0110743i | ||||
\(175\) | −2.71352e11 | −0.124975 | ||||||||
\(176\) | 3.40243e11 | − | 3.68174e11i | 0.151869 | − | 0.164336i | ||||
\(177\) | 2.26480e12 | 0.979889 | ||||||||
\(178\) | 4.84809e11 | − | 4.77649e9i | 0.203358 | − | 0.00200354i | ||||
\(179\) | 1.62660e12 | + | 1.62660e12i | 0.661592 | + | 0.661592i | 0.955755 | − | 0.294163i | \(-0.0950410\pi\) |
−0.294163 | + | 0.955755i | \(0.595041\pi\) | |||||||
\(180\) | −7.43881e9 | − | 7.15129e9i | −0.00293430 | − | 0.00282089i | ||||
\(181\) | −5.16199e11 | + | 5.16199e11i | −0.197508 | + | 0.197508i | −0.798931 | − | 0.601423i | \(-0.794601\pi\) |
0.601423 | + | 0.798931i | \(0.294601\pi\) | |||||||
\(182\) | −1.47639e11 | − | 1.44758e11i | −0.0548035 | − | 0.0537342i | ||||
\(183\) | 4.58543e12i | 1.65158i | ||||||||
\(184\) | −3.59647e12 | + | 1.06328e11i | −1.25712 | + | 0.0371664i | ||||
\(185\) | − | 5.72785e11i | − | 0.194333i | ||||||
\(186\) | 9.61182e11 | − | 9.80310e11i | 0.316581 | − | 0.322881i | ||||
\(187\) | 1.32310e11 | − | 1.32310e11i | 0.0423121 | − | 0.0423121i | ||||
\(188\) | −2.73252e12 | + | 5.38486e10i | −0.848586 | + | 0.0167227i | ||||
\(189\) | −4.43387e11 | − | 4.43387e11i | −0.133734 | − | 0.133734i | ||||
\(190\) | 2.45314e10 | + | 2.48991e12i | 0.00718749 | + | 0.729522i | ||||
\(191\) | −2.22938e12 | −0.634602 | −0.317301 | − | 0.948325i | \(-0.602776\pi\) | ||||
−0.317301 | + | 0.948325i | \(0.602776\pi\) | |||||||
\(192\) | 2.69355e12 | + | 2.39255e12i | 0.745020 | + | 0.661765i | ||||
\(193\) | 1.44625e11 | 0.0388758 | 0.0194379 | − | 0.999811i | \(-0.493812\pi\) | ||||
0.0194379 | + | 0.999811i | \(0.493812\pi\) | |||||||
\(194\) | 3.28234e9 | + | 3.33154e11i | 0.000857579 | + | 0.0870433i | ||||
\(195\) | −6.55751e11 | − | 6.55751e11i | −0.166552 | − | 0.166552i | ||||
\(196\) | −3.90496e12 | + | 7.69533e10i | −0.964290 | + | 0.0190028i | ||||
\(197\) | 2.27490e12 | − | 2.27490e12i | 0.546257 | − | 0.546257i | −0.379099 | − | 0.925356i | \(-0.623766\pi\) |
0.925356 | + | 0.379099i | \(0.123766\pi\) | |||||||
\(198\) | −4.70421e9 | + | 4.79782e9i | −0.00109857 | + | 0.00112043i | ||||
\(199\) | − | 3.80350e12i | − | 0.863956i | −0.901884 | − | 0.431978i | \(-0.857816\pi\) | ||
0.901884 | − | 0.431978i | \(-0.142184\pi\) | |||||||
\(200\) | −2.99949e12 | + | 8.86789e10i | −0.662801 | + | 0.0195955i | ||||
\(201\) | − | 1.72614e12i | − | 0.371106i | ||||||
\(202\) | 4.02518e12 | + | 3.94664e12i | 0.842078 | + | 0.825647i | ||||
\(203\) | 7.38398e11 | − | 7.38398e11i | 0.150336 | − | 0.150336i | ||||
\(204\) | 9.69397e11 | + | 9.31929e11i | 0.192104 | + | 0.184679i | ||||
\(205\) | −3.24954e12 | − | 3.24954e12i | −0.626867 | − | 0.626867i | ||||
\(206\) | 4.56482e12 | − | 4.49741e10i | 0.857341 | − | 0.00844680i | ||||
\(207\) | 4.82255e10 | 0.00881942 | ||||||||
\(208\) | −1.67929e12 | − | 1.55189e12i | −0.299073 | − | 0.276384i | ||||
\(209\) | 1.62143e12 | 0.281252 | ||||||||
\(210\) | 6.45156e11 | − | 6.35629e9i | 0.109008 | − | 0.00107398i | ||||
\(211\) | −4.90777e12 | − | 4.90777e12i | −0.807849 | − | 0.807849i | 0.176459 | − | 0.984308i | \(-0.443536\pi\) |
−0.984308 | + | 0.176459i | \(0.943536\pi\) | |||||||
\(212\) | −5.02240e12 | + | 5.22433e12i | −0.805498 | + | 0.837883i | ||||
\(213\) | 5.25511e12 | − | 5.25511e12i | 0.821285 | − | 0.821285i | ||||
\(214\) | −1.78663e12 | − | 1.75177e12i | −0.272120 | − | 0.266810i | ||||
\(215\) | − | 6.05633e12i | − | 0.899080i | ||||||
\(216\) | −5.04605e12 | − | 4.75625e12i | −0.730223 | − | 0.688286i | ||||
\(217\) | − | 6.06218e11i | − | 0.0855264i | ||||||
\(218\) | −6.84909e12 | + | 6.98540e12i | −0.942155 | + | 0.960905i | ||||
\(219\) | −6.05341e12 | + | 6.05341e12i | −0.812003 | + | 0.812003i | ||||
\(220\) | −1.95614e10 | − | 9.92633e11i | −0.00255903 | − | 0.129857i | ||||
\(221\) | −6.03484e11 | − | 6.03484e11i | −0.0770031 | − | 0.0770031i | ||||
\(222\) | −2.64071e10 | − | 2.68030e12i | −0.00328685 | − | 0.333612i | ||||
\(223\) | 4.65341e12 | 0.565060 | 0.282530 | − | 0.959259i | \(-0.408826\pi\) | ||||
0.282530 | + | 0.959259i | \(0.408826\pi\) | |||||||
\(224\) | 1.58887e12 | − | 7.83312e10i | 0.188245 | − | 0.00928048i | ||||
\(225\) | 4.02206e10 | 0.00464992 | ||||||||
\(226\) | −3.95199e10 | − | 4.01123e12i | −0.00445882 | − | 0.452565i | ||||
\(227\) | 7.96621e12 | + | 7.96621e12i | 0.877222 | + | 0.877222i | 0.993246 | − | 0.116024i | \(-0.0370149\pi\) |
−0.116024 | + | 0.993246i | \(0.537015\pi\) | |||||||
\(228\) | 2.29585e11 | + | 1.16502e13i | 0.0246775 | + | 1.25225i | ||||
\(229\) | −1.29670e12 | + | 1.29670e12i | −0.136064 | + | 0.136064i | −0.771858 | − | 0.635794i | \(-0.780673\pi\) |
0.635794 | + | 0.771858i | \(0.280673\pi\) | |||||||
\(230\) | −4.98875e12 | + | 5.08803e12i | −0.511080 | + | 0.521250i | ||||
\(231\) | − | 4.20127e11i | − | 0.0420257i | ||||||
\(232\) | 7.92084e12 | − | 8.40347e12i | 0.773727 | − | 0.820870i | ||||
\(233\) | 4.73649e12i | 0.451855i | 0.974144 | + | 0.225928i | \(0.0725413\pi\) | ||||
−0.974144 | + | 0.225928i | \(0.927459\pi\) | |||||||
\(234\) | 2.18835e10 | + | 2.14565e10i | 0.00203906 | + | 0.00199927i | ||||
\(235\) | −3.82732e12 | + | 3.82732e12i | −0.348355 | + | 0.348355i | ||||
\(236\) | 7.66440e12 | − | 7.97255e12i | 0.681494 | − | 0.708894i | ||||
\(237\) | 1.07019e13 | + | 1.07019e13i | 0.929704 | + | 0.929704i | ||||
\(238\) | 5.93734e11 | − | 5.84966e9i | 0.0503986 | − | 0.000496543i | ||||
\(239\) | 1.73692e13 | 1.44076 | 0.720381 | − | 0.693578i | \(-0.243967\pi\) | ||||
0.720381 | + | 0.693578i | \(0.243967\pi\) | |||||||
\(240\) | 7.12940e12 | − | 2.81101e11i | 0.577951 | − | 0.0227877i | ||||
\(241\) | −1.51130e13 | −1.19745 | −0.598725 | − | 0.800955i | \(-0.704326\pi\) | ||||
−0.598725 | + | 0.800955i | \(0.704326\pi\) | |||||||
\(242\) | 1.22646e13 | − | 1.20835e11i | 0.949883 | − | 0.00935856i | ||||
\(243\) | 1.30983e11 | + | 1.30983e11i | 0.00991697 | + | 0.00991697i | ||||
\(244\) | 1.61416e13 | + | 1.55177e13i | 1.19482 | + | 1.14864i | ||||
\(245\) | −5.46949e12 | + | 5.46949e12i | −0.395853 | + | 0.395853i | ||||
\(246\) | −1.53557e13 | − | 1.50561e13i | −1.08674 | − | 1.06554i | ||||
\(247\) | − | 7.39557e12i | − | 0.511845i | ||||||
\(248\) | −1.98114e11 | − | 6.70106e12i | −0.0134101 | − | 0.453585i | ||||
\(249\) | − | 3.39948e12i | − | 0.225069i | ||||||
\(250\) | −1.04353e13 | + | 1.06430e13i | −0.675828 | + | 0.689278i | ||||
\(251\) | −7.55409e12 | + | 7.55409e12i | −0.478604 | + | 0.478604i | −0.904685 | − | 0.426081i | \(-0.859894\pi\) |
0.426081 | + | 0.904685i | \(0.359894\pi\) | |||||||
\(252\) | −2.13178e10 | + | 4.20101e8i | −0.00132142 | + | 2.60406e-5i | ||||
\(253\) | 3.28101e12 | + | 3.28101e12i | 0.198996 | + | 0.198996i | ||||
\(254\) | −8.26906e10 | − | 8.39301e12i | −0.00490762 | − | 0.498118i | ||||
\(255\) | 2.66310e12 | 0.154674 | ||||||||
\(256\) | 1.75376e13 | − | 1.38511e12i | 0.996896 | − | 0.0787345i | ||||
\(257\) | −2.57756e13 | −1.43409 | −0.717045 | − | 0.697027i | \(-0.754506\pi\) | ||||
−0.717045 | + | 0.697027i | \(0.754506\pi\) | |||||||
\(258\) | −2.79216e11 | − | 2.83401e13i | −0.0152066 | − | 1.54345i | ||||
\(259\) | −8.36904e11 | − | 8.36904e11i | −0.0446197 | − | 0.0446197i | ||||
\(260\) | −4.52753e12 | + | 8.92220e10i | −0.236324 | + | 0.00465713i | ||||
\(261\) | −1.09447e11 | + | 1.09447e11i | −0.00559349 | + | 0.00559349i | ||||
\(262\) | −8.95560e12 | + | 9.13382e12i | −0.448165 | + | 0.457084i | ||||
\(263\) | − | 3.41102e13i | − | 1.67158i | −0.549047 | − | 0.835791i | \(-0.685009\pi\) | ||
0.549047 | − | 0.835791i | \(-0.314991\pi\) | |||||||
\(264\) | −1.37299e11 | − | 4.64404e12i | −0.00658941 | − | 0.222881i | ||||
\(265\) | 1.43521e13i | 0.674628i | ||||||||
\(266\) | 3.67388e12 | + | 3.60220e12i | 0.169152 | + | 0.165851i | ||||
\(267\) | 3.17724e12 | − | 3.17724e12i | 0.143297 | − | 0.143297i | ||||
\(268\) | −6.07637e12 | − | 5.84151e12i | −0.268474 | − | 0.258097i | ||||
\(269\) | 2.71092e13 | + | 2.71092e13i | 1.17349 | + | 1.17349i | 0.981372 | + | 0.192117i | \(0.0615354\pi\) |
0.192117 | + | 0.981372i | \(0.438465\pi\) | |||||||
\(270\) | −1.37323e13 | + | 1.35295e11i | −0.582428 | + | 0.00573827i | ||||
\(271\) | −2.37221e13 | −0.985876 | −0.492938 | − | 0.870065i | \(-0.664077\pi\) | ||||
−0.492938 | + | 0.870065i | \(0.664077\pi\) | |||||||
\(272\) | 6.56115e12 | − | 2.58696e11i | 0.267209 | − | 0.0105356i | ||||
\(273\) | −1.91625e12 | −0.0764819 | ||||||||
\(274\) | 4.68173e13 | − | 4.61259e11i | 1.83138 | − | 0.0180433i | ||||
\(275\) | 2.73640e12 | + | 2.73640e12i | 0.104918 | + | 0.104918i | ||||
\(276\) | −2.31098e13 | + | 2.40390e13i | −0.868554 | + | 0.903474i | ||||
\(277\) | −2.86303e13 | + | 2.86303e13i | −1.05484 | + | 1.05484i | −0.0564356 | + | 0.998406i | \(0.517974\pi\) |
−0.998406 | + | 0.0564356i | \(0.982026\pi\) | |||||||
\(278\) | −3.54588e13 | − | 3.47669e13i | −1.28079 | − | 1.25580i | ||||
\(279\) | 8.98554e10i | 0.00318215i | ||||||||
\(280\) | 2.16092e12 | − | 2.29259e12i | 0.0750360 | − | 0.0796080i | ||||
\(281\) | − | 1.73419e13i | − | 0.590488i | −0.955422 | − | 0.295244i | \(-0.904599\pi\) | ||
0.955422 | − | 0.295244i | \(-0.0954010\pi\) | |||||||
\(282\) | −1.77332e13 | + | 1.80861e13i | −0.592128 | + | 0.603912i | ||||
\(283\) | 3.78495e12 | − | 3.78495e12i | 0.123947 | − | 0.123947i | −0.642412 | − | 0.766359i | \(-0.722066\pi\) |
0.766359 | + | 0.642412i | \(0.222066\pi\) | |||||||
\(284\) | −7.15014e11 | − | 3.62830e13i | −0.0229648 | − | 1.16534i | ||||
\(285\) | 1.63179e13 | + | 1.63179e13i | 0.514063 | + | 0.514063i | ||||
\(286\) | 2.90508e10 | + | 2.94862e12i | 0.000897728 | + | 0.0911184i | ||||
\(287\) | −9.49589e12 | −0.287863 | ||||||||
\(288\) | −2.35507e11 | + | 1.16105e10i | −0.00700398 | + | 0.000345296i | ||||
\(289\) | −3.18211e13 | −0.928488 | ||||||||
\(290\) | −2.25314e11 | − | 2.28692e13i | −0.00645060 | − | 0.654728i | ||||
\(291\) | 2.18336e12 | + | 2.18336e12i | 0.0613357 | + | 0.0613357i | ||||
\(292\) | 8.23632e11 | + | 4.17948e13i | 0.0227053 | + | 1.15217i | ||||
\(293\) | 3.44335e13 | − | 3.44335e13i | 0.931556 | − | 0.931556i | −0.0662477 | − | 0.997803i | \(-0.521103\pi\) |
0.997803 | + | 0.0662477i | \(0.0211027\pi\) | |||||||
\(294\) | −2.53418e13 | + | 2.58462e13i | −0.672865 | + | 0.686255i | ||||
\(295\) | − | 2.19020e13i | − | 0.570771i | ||||||
\(296\) | −9.52454e12 | − | 8.97753e12i | −0.243635 | − | 0.229643i | ||||
\(297\) | 8.94250e12i | 0.224542i | ||||||||
\(298\) | 3.87673e13 | + | 3.80109e13i | 0.955600 | + | 0.936954i | ||||
\(299\) | 1.49651e13 | − | 1.49651e13i | 0.362150 | − | 0.362150i | ||||
\(300\) | −1.92738e13 | + | 2.00488e13i | −0.457933 | + | 0.476344i | ||||
\(301\) | −8.84899e12 | − | 8.84899e12i | −0.206433 | − | 0.206433i | ||||
\(302\) | 3.70378e13 | − | 3.64909e11i | 0.848413 | − | 0.00835884i | ||||
\(303\) | 5.22441e13 | 1.17518 | ||||||||
\(304\) | 4.17879e13 | + | 3.86176e13i | 0.923093 | + | 0.853062i | ||||
\(305\) | 4.43438e13 | 0.962020 | ||||||||
\(306\) | −8.80050e10 | + | 8.67053e8i | −0.00187516 | + | 1.84747e-5i | ||||
\(307\) | 1.03299e13 | + | 1.03299e13i | 0.216190 | + | 0.216190i | 0.806891 | − | 0.590701i | \(-0.201149\pi\) |
−0.590701 | + | 0.806891i | \(0.701149\pi\) | |||||||
\(308\) | −1.47893e12 | − | 1.42177e12i | −0.0304032 | − | 0.0292281i | ||||
\(309\) | 2.99160e13 | − | 2.99160e13i | 0.604132 | − | 0.604132i | ||||
\(310\) | −9.48018e12 | − | 9.29520e12i | −0.188073 | − | 0.184404i | ||||
\(311\) | − | 7.78955e12i | − | 0.151820i | −0.997115 | − | 0.0759102i | \(-0.975814\pi\) | ||
0.997115 | − | 0.0759102i | \(-0.0241862\pi\) | |||||||
\(312\) | −2.11820e13 | + | 6.26239e11i | −0.405618 | + | 0.0119919i | ||||
\(313\) | − | 9.37500e13i | − | 1.76391i | −0.471330 | − | 0.881957i | \(-0.656226\pi\) | ||
0.471330 | − | 0.881957i | \(-0.343774\pi\) | |||||||
\(314\) | −2.65492e13 | + | 2.70776e13i | −0.490839 | + | 0.500607i | ||||
\(315\) | −2.98589e10 | + | 2.98589e10i | −0.000542457 | + | 0.000542457i | ||||
\(316\) | 7.38895e13 | − | 1.45611e12i | 1.31918 | − | 0.0259965i | ||||
\(317\) | −2.94124e13 | − | 2.94124e13i | −0.516065 | − | 0.516065i | 0.400313 | − | 0.916378i | \(-0.368901\pi\) |
−0.916378 | + | 0.400313i | \(0.868901\pi\) | |||||||
\(318\) | 6.61678e11 | + | 6.71595e13i | 0.0114103 | + | 1.15813i | ||||
\(319\) | −1.48924e13 | −0.252416 | ||||||||
\(320\) | 2.31373e13 | − | 2.60482e13i | 0.385468 | − | 0.433963i | ||||
\(321\) | −2.31893e13 | −0.379761 | ||||||||
\(322\) | 1.45059e11 | + | 1.47233e13i | 0.00233527 | + | 0.237027i | ||||
\(323\) | 1.50172e13 | + | 1.50172e13i | 0.237671 | + | 0.237671i | ||||
\(324\) | −6.38022e13 | + | 1.25732e12i | −0.992746 | + | 0.0195636i | ||||
\(325\) | 1.24811e13 | − | 1.24811e13i | 0.190938 | − | 0.190938i | ||||
\(326\) | 1.22788e13 | − | 1.25232e13i | 0.184697 | − | 0.188373i | ||||
\(327\) | 9.06657e13i | 1.34100i | ||||||||
\(328\) | −1.04966e14 | + | 3.10329e12i | −1.52667 | + | 0.0451353i | ||||
\(329\) | 1.11843e13i | 0.159967i | ||||||||
\(330\) | −6.57005e12 | − | 6.44185e12i | −0.0924149 | − | 0.0906117i | ||||
\(331\) | −8.90138e13 | + | 8.90138e13i | −1.23141 | + | 1.23141i | −0.267990 | + | 0.963422i | \(0.586360\pi\) |
−0.963422 | + | 0.267990i | \(0.913640\pi\) | |||||||
\(332\) | −1.19668e13 | − | 1.15043e13i | −0.162825 | − | 0.156531i | ||||
\(333\) | 1.24048e11 | + | 1.24048e11i | 0.00166015 | + | 0.00166015i | ||||
\(334\) | 1.14826e14 | − | 1.13131e12i | 1.51160 | − | 0.0148928i | ||||
\(335\) | −1.66928e13 | −0.216164 | ||||||||
\(336\) | 1.00061e13 | − | 1.08276e13i | 0.127468 | − | 0.137932i | ||||
\(337\) | 4.94592e13 | 0.619844 | 0.309922 | − | 0.950762i | \(-0.399697\pi\) | ||||
0.309922 | + | 0.950762i | \(0.399697\pi\) | |||||||
\(338\) | −6.76509e13 | + | 6.66519e11i | −0.834127 | + | 0.00821809i | ||||
\(339\) | −2.62880e13 | − | 2.62880e13i | −0.318903 | − | 0.318903i | ||||
\(340\) | 9.01230e12 | − | 9.37464e12i | 0.107573 | − | 0.111898i | ||||
\(341\) | −6.11328e12 | + | 6.11328e12i | −0.0718002 | + | 0.0718002i | ||||
\(342\) | −5.44554e11 | − | 5.33928e11i | −0.00629357 | − | 0.00617077i | ||||
\(343\) | 3.25549e13i | 0.370253i | ||||||||
\(344\) | −1.00708e14 | − | 9.49238e13i | −1.12717 | − | 1.06244i | ||||
\(345\) | 6.60392e13i | 0.727439i | ||||||||
\(346\) | 2.56003e13 | − | 2.61097e13i | 0.277540 | − | 0.283063i | ||||
\(347\) | −4.93186e13 | + | 4.93186e13i | −0.526258 | + | 0.526258i | −0.919454 | − | 0.393197i | \(-0.871369\pi\) |
0.393197 | + | 0.919454i | \(0.371369\pi\) | |||||||
\(348\) | −2.10868e12 | − | 1.07004e14i | −0.0221475 | − | 1.12386i | ||||
\(349\) | −1.31044e14 | − | 1.31044e14i | −1.35481 | − | 1.35481i | −0.880196 | − | 0.474610i | \(-0.842589\pi\) |
−0.474610 | − | 0.880196i | \(-0.657411\pi\) | |||||||
\(350\) | 1.20981e11 | + | 1.22794e13i | 0.00123124 | + | 0.124969i | ||||
\(351\) | 4.07879e13 | 0.408641 | ||||||||
\(352\) | −1.68126e13 | − | 1.52327e13i | −0.165825 | − | 0.150243i | ||||
\(353\) | 1.16944e14 | 1.13558 | 0.567791 | − | 0.823173i | \(-0.307798\pi\) | ||||
0.567791 | + | 0.823173i | \(0.307798\pi\) | |||||||
\(354\) | −1.00975e12 | − | 1.02488e14i | −0.00965372 | − | 0.979842i | ||||
\(355\) | −5.08200e13 | − | 5.08200e13i | −0.478386 | − | 0.478386i | ||||
\(356\) | −4.32298e11 | − | 2.19367e13i | −0.00400689 | − | 0.203328i | ||||
\(357\) | 3.89109e12 | − | 3.89109e12i | 0.0355137 | − | 0.0355137i | ||||
\(358\) | 7.28829e13 | − | 7.43333e13i | 0.655042 | − | 0.668077i | ||||
\(359\) | 4.01208e13i | 0.355100i | 0.984112 | + | 0.177550i | \(0.0568171\pi\) | ||||
−0.984112 | + | 0.177550i | \(0.943183\pi\) | |||||||
\(360\) | −3.20298e11 | + | 3.39814e11i | −0.00279184 | + | 0.00296195i | ||||
\(361\) | 6.75428e13i | 0.579815i | ||||||||
\(362\) | 2.35895e13 | + | 2.31292e13i | 0.199444 | + | 0.195553i | ||||
\(363\) | 8.03775e13 | − | 8.03775e13i | 0.669342 | − | 0.669342i | ||||
\(364\) | −6.48487e12 | + | 6.74559e12i | −0.0531916 | + | 0.0553302i | ||||
\(365\) | 5.85401e13 | + | 5.85401e13i | 0.472980 | + | 0.472980i | ||||
\(366\) | 2.07503e14 | − | 2.04439e12i | 1.65150 | − | 0.0162711i | ||||
\(367\) | −1.48808e14 | −1.16671 | −0.583354 | − | 0.812218i | \(-0.698260\pi\) | ||||
−0.583354 | + | 0.812218i | \(0.698260\pi\) | |||||||
\(368\) | 6.41510e12 | + | 1.62702e14i | 0.0495496 | + | 1.25670i | ||||
\(369\) | 1.40751e12 | 0.0107104 | ||||||||
\(370\) | −2.59200e13 | + | 2.55373e11i | −0.194324 | + | 0.00191454i | ||||
\(371\) | 2.09701e13 | + | 2.09701e13i | 0.154897 | + | 0.154897i | ||||
\(372\) | −4.47902e13 | − | 4.30590e13i | −0.325984 | − | 0.313384i | ||||
\(373\) | −9.75473e13 | + | 9.75473e13i | −0.699547 | + | 0.699547i | −0.964313 | − | 0.264766i | \(-0.914705\pi\) |
0.264766 | + | 0.964313i | \(0.414705\pi\) | |||||||
\(374\) | −6.04638e12 | − | 5.92840e12i | −0.0427269 | − | 0.0418932i | ||||
\(375\) | 1.38139e14i | 0.961932i | ||||||||
\(376\) | 3.65507e12 | + | 1.23630e14i | 0.0250820 | + | 0.848380i | ||||
\(377\) | 6.79263e13i | 0.459368i | ||||||||
\(378\) | −1.98668e13 | + | 2.02621e13i | −0.132410 | + | 0.135045i | ||||
\(379\) | 1.24977e14 | − | 1.24977e14i | 0.820944 | − | 0.820944i | −0.165299 | − | 0.986243i | \(-0.552859\pi\) |
0.986243 | + | 0.165299i | \(0.0528590\pi\) | |||||||
\(380\) | 1.12664e14 | − | 2.22022e12i | 0.729416 | − | 0.0143743i | ||||
\(381\) | −5.50044e13 | − | 5.50044e13i | −0.351002 | − | 0.351002i | ||||
\(382\) | 9.93956e11 | + | 1.00885e14i | 0.00625200 | + | 0.634571i | ||||
\(383\) | −4.86299e13 | −0.301516 | −0.150758 | − | 0.988571i | \(-0.548171\pi\) | ||||
−0.150758 | + | 0.988571i | \(0.548171\pi\) | |||||||
\(384\) | 1.07068e14 | − | 1.22957e14i | 0.654393 | − | 0.751503i | ||||
\(385\) | −4.06288e12 | −0.0244793 | ||||||||
\(386\) | −6.44803e10 | − | 6.54468e12i | −0.000382998 | − | 0.0388739i | ||||
\(387\) | 1.31162e12 | + | 1.31162e12i | 0.00768067 | + | 0.00768067i | ||||
\(388\) | 1.50746e13 | − | 2.97069e11i | 0.0870306 | − | 0.00171507i | ||||
\(389\) | 8.60395e12 | − | 8.60395e12i | 0.0489751 | − | 0.0489751i | −0.682195 | − | 0.731170i | \(-0.738975\pi\) |
0.731170 | + | 0.682195i | \(0.238975\pi\) | |||||||
\(390\) | −2.93821e13 | + | 2.99668e13i | −0.164903 | + | 0.168184i | ||||
\(391\) | 6.07755e13i | 0.336323i | ||||||||
\(392\) | 5.22334e12 | + | 1.76675e14i | 0.0285020 | + | 0.964056i | ||||
\(393\) | 1.18551e14i | 0.637890i | ||||||||
\(394\) | −1.03959e14 | − | 1.01931e14i | −0.551612 | − | 0.540849i | ||||
\(395\) | 1.03494e14 | − | 1.03494e14i | 0.541539 | − | 0.541539i | ||||
\(396\) | 2.19212e11 | + | 2.10739e11i | 0.00113120 | + | 0.00108748i | ||||
\(397\) | −4.00648e13 | − | 4.00648e13i | −0.203899 | − | 0.203899i | 0.597769 | − | 0.801668i | \(-0.296054\pi\) |
−0.801668 | + | 0.597769i | \(0.796054\pi\) | |||||||
\(398\) | −1.72118e14 | + | 1.69577e12i | −0.863914 | + | 0.00851156i | ||||
\(399\) | 4.76845e13 | 0.236062 | ||||||||
\(400\) | 5.35026e12 | + | 1.35696e14i | 0.0261243 | + | 0.662576i | ||||
\(401\) | 3.93054e14 | 1.89304 | 0.946518 | − | 0.322652i | \(-0.104574\pi\) | ||||
0.946518 | + | 0.322652i | \(0.104574\pi\) | |||||||
\(402\) | −7.81125e13 | + | 7.69590e11i | −0.371088 | + | 0.00365608i | ||||
\(403\) | 2.78835e13 | + | 2.78835e13i | 0.130668 | + | 0.130668i | ||||
\(404\) | 1.76801e14 | − | 1.83909e14i | 0.817311 | − | 0.850172i | ||||
\(405\) | −8.93648e13 | + | 8.93648e13i | −0.407534 | + | 0.407534i | ||||
\(406\) | −3.37437e13 | − | 3.30852e13i | −0.151809 | − | 0.148847i | ||||
\(407\) | 1.68792e13i | 0.0749173i | ||||||||
\(408\) | 4.17400e13 | − | 4.42833e13i | 0.182777 | − | 0.193914i | ||||
\(409\) | − | 3.20804e14i | − | 1.38599i | −0.720941 | − | 0.692997i | \(-0.756290\pi\) | ||
0.720941 | − | 0.692997i | \(-0.243710\pi\) | |||||||
\(410\) | −1.45601e14 | + | 1.48499e14i | −0.620661 | + | 0.633012i | ||||
\(411\) | 3.06822e14 | − | 3.06822e14i | 1.29049 | − | 1.29049i | ||||
\(412\) | −4.07039e12 | − | 2.06550e14i | −0.0168928 | − | 0.857216i | ||||
\(413\) | −3.20012e13 | − | 3.20012e13i | −0.131051 | − | 0.131051i | ||||
\(414\) | −2.15011e10 | − | 2.18233e12i | −8.68876e−5 | − | 0.00881900i | ||||
\(415\) | −3.28750e13 | −0.131099 | ||||||||
\(416\) | −6.94784e13 | + | 7.66842e13i | −0.273424 | + | 0.301782i | ||||
\(417\) | −4.60231e14 | −1.78742 | ||||||||
\(418\) | −7.22906e11 | − | 7.33742e13i | −0.00277085 | − | 0.281238i | ||||
\(419\) | −1.19903e14 | − | 1.19903e14i | −0.453580 | − | 0.453580i | 0.442961 | − | 0.896541i | \(-0.353928\pi\) |
−0.896541 | + | 0.442961i | \(0.853928\pi\) | |||||||
\(420\) | −5.75278e11 | − | 2.91922e13i | −0.00214786 | − | 0.108992i | ||||
\(421\) | 6.87949e13 | − | 6.87949e13i | 0.253516 | − | 0.253516i | −0.568895 | − | 0.822410i | \(-0.692629\pi\) |
0.822410 | + | 0.568895i | \(0.192629\pi\) | |||||||
\(422\) | −2.19901e14 | + | 2.24278e14i | −0.799851 | + | 0.815769i | ||||
\(423\) | − | 1.65777e12i | − | 0.00595185i | ||||||
\(424\) | 2.38654e14 | + | 2.24948e14i | 0.845778 | + | 0.797204i | ||||
\(425\) | 5.06874e13i | 0.177321i | ||||||||
\(426\) | −2.40151e14 | − | 2.35465e14i | −0.829336 | − | 0.813154i | ||||
\(427\) | 6.47914e13 | − | 6.47914e13i | 0.220884 | − | 0.220884i | ||||
\(428\) | −7.84758e13 | + | 8.16309e13i | −0.264116 | + | 0.274735i | ||||
\(429\) | 1.93241e13 | + | 1.93241e13i | 0.0642072 | + | 0.0642072i | ||||
\(430\) | −2.74065e14 | + | 2.70018e12i | −0.899036 | + | 0.00885760i | ||||
\(431\) | −2.48651e14 | −0.805314 | −0.402657 | − | 0.915351i | \(-0.631913\pi\) | ||||
−0.402657 | + | 0.915351i | \(0.631913\pi\) | |||||||
\(432\) | −2.12983e14 | + | 2.30467e14i | −0.681058 | + | 0.736969i | ||||
\(433\) | 7.94573e13 | 0.250871 | 0.125435 | − | 0.992102i | \(-0.459967\pi\) | ||||
0.125435 | + | 0.992102i | \(0.459967\pi\) | |||||||
\(434\) | −2.74330e13 | + | 2.70278e11i | −0.0855223 | + | 0.000842593i | ||||
\(435\) | −1.49875e14 | − | 1.49875e14i | −0.461359 | − | 0.461359i | ||||
\(436\) | 3.19161e14 | + | 3.06825e14i | 0.970140 | + | 0.932643i | ||||
\(437\) | −3.72395e14 | + | 3.72395e14i | −1.11778 | + | 1.11778i | ||||
\(438\) | 2.76632e14 | + | 2.71234e14i | 0.819964 | + | 0.803964i | ||||
\(439\) | − | 5.46704e14i | − | 1.60029i | −0.599809 | − | 0.800143i | \(-0.704757\pi\) | ||
0.599809 | − | 0.800143i | \(-0.295243\pi\) | |||||||
\(440\) | −4.49105e13 | + | 1.32776e12i | −0.129825 | + | 0.00383823i | ||||
\(441\) | − | 2.36906e12i | − | 0.00676339i | ||||||
\(442\) | −2.70402e13 | + | 2.75783e13i | −0.0762408 | + | 0.0777580i | ||||
\(443\) | −7.74563e13 | + | 7.74563e13i | −0.215693 | + | 0.215693i | −0.806681 | − | 0.590988i | \(-0.798738\pi\) |
0.590988 | + | 0.806681i | \(0.298738\pi\) | |||||||
\(444\) | −1.21279e14 | + | 2.38999e12i | −0.333563 | + | 0.00657338i | ||||
\(445\) | −3.07258e13 | − | 3.07258e13i | −0.0834686 | − | 0.0834686i | ||||
\(446\) | −2.07469e12 | − | 2.10579e14i | −0.00556688 | − | 0.565032i | ||||
\(447\) | 5.03174e14 | 1.33360 | ||||||||
\(448\) | −4.25308e12 | − | 7.18656e13i | −0.0111346 | − | 0.188145i | ||||
\(449\) | 1.23108e14 | 0.318369 | 0.159184 | − | 0.987249i | \(-0.449114\pi\) | ||||
0.159184 | + | 0.987249i | \(0.449114\pi\) | |||||||
\(450\) | −1.79321e10 | − | 1.82009e12i | −4.58103e−5 | − | 0.00464969i | ||||
\(451\) | 9.57594e13 | + | 9.57594e13i | 0.241663 | + | 0.241663i | ||||
\(452\) | −1.81501e14 | + | 3.57676e12i | −0.452499 | + | 0.00891720i | ||||
\(453\) | 2.42731e14 | − | 2.42731e14i | 0.597841 | − | 0.597841i | ||||
\(454\) | 3.56940e14 | − | 3.64044e14i | 0.868538 | − | 0.885822i | ||||
\(455\) | 1.85313e13i | 0.0445495i | ||||||||
\(456\) | 5.27099e14 | − | 1.55835e13i | 1.25195 | − | 0.0370133i | ||||
\(457\) | 5.91954e14i | 1.38915i | 0.719421 | + | 0.694574i | \(0.244407\pi\) | ||||
−0.719421 | + | 0.694574i | \(0.755593\pi\) | |||||||
\(458\) | 5.92571e13 | + | 5.81008e13i | 0.137398 | + | 0.134717i | ||||
\(459\) | −8.28228e13 | + | 8.28228e13i | −0.189749 | + | 0.189749i | ||||
\(460\) | 2.32471e14 | + | 2.23486e14i | 0.526260 | + | 0.505919i | ||||
\(461\) | 3.14114e14 | + | 3.14114e14i | 0.702639 | + | 0.702639i | 0.964976 | − | 0.262337i | \(-0.0844932\pi\) |
−0.262337 | + | 0.964976i | \(0.584493\pi\) | |||||||
\(462\) | −1.90119e13 | + | 1.87311e11i | −0.0420237 | + | 0.000414031i | ||||
\(463\) | 2.18707e14 | 0.477713 | 0.238857 | − | 0.971055i | \(-0.423227\pi\) | ||||
0.238857 | + | 0.971055i | \(0.423227\pi\) | |||||||
\(464\) | −3.83810e14 | − | 3.54692e14i | −0.828453 | − | 0.765602i | ||||
\(465\) | −1.23046e14 | −0.262469 | ||||||||
\(466\) | 2.14339e14 | − | 2.11174e12i | 0.451833 | − | 0.00445161i | ||||
\(467\) | −1.13426e13 | − | 1.13426e13i | −0.0236304 | − | 0.0236304i | 0.695193 | − | 0.718823i | \(-0.255319\pi\) |
−0.718823 | + | 0.695193i | \(0.755319\pi\) | |||||||
\(468\) | 9.61206e11 | − | 9.99852e11i | 0.00197908 | − | 0.00205865i | ||||
\(469\) | −2.43901e13 | + | 2.43901e13i | −0.0496322 | + | 0.0496322i | ||||
\(470\) | 1.74903e14 | + | 1.71490e14i | 0.351770 | + | 0.344906i | ||||
\(471\) | 3.51449e14i | 0.698629i | ||||||||
\(472\) | −3.64196e14 | − | 3.43280e14i | −0.715573 | − | 0.674477i | ||||
\(473\) | 1.78472e14i | 0.346604i | ||||||||
\(474\) | 4.79518e14 | − | 4.89060e14i | 0.920500 | − | 0.938818i | ||||
\(475\) | −3.10582e14 | + | 3.10582e14i | −0.589333 | + | 0.589333i | ||||
\(476\) | −5.29425e11 | − | 2.68654e13i | −0.000993039 | − | 0.0503913i | ||||
\(477\) | −3.10825e12 | − | 3.10825e12i | −0.00576322 | − | 0.00576322i | ||||
\(478\) | −7.74397e12 | − | 7.86004e14i | −0.0141942 | − | 1.44069i | ||||
\(479\) | −2.93567e14 | −0.531939 | −0.265969 | − | 0.963981i | \(-0.585692\pi\) | ||||
−0.265969 | + | 0.963981i | \(0.585692\pi\) | |||||||
\(480\) | −1.58992e13 | − | 3.22499e14i | −0.0284805 | − | 0.577699i | ||||
\(481\) | 7.69881e13 | 0.136341 | ||||||||
\(482\) | 6.73804e12 | + | 6.83903e14i | 0.0117971 | + | 1.19739i | ||||
\(483\) | 9.64907e13 | + | 9.64907e13i | 0.167023 | + | 0.167023i | ||||
\(484\) | −1.09362e13 | − | 5.54953e14i | −0.0187162 | − | 0.949745i | ||||
\(485\) | 2.11143e13 | − | 2.11143e13i | 0.0357271 | − | 0.0357271i | ||||
\(486\) | 5.86891e12 | − | 5.98571e12i | 0.00981879 | − | 0.0100142i | ||||
\(487\) | 2.66029e13i | 0.0440069i | 0.999758 | + | 0.0220034i | \(0.00700448\pi\) | ||||
−0.999758 | + | 0.0220034i | \(0.992996\pi\) | |||||||
\(488\) | 6.95022e14 | − | 7.37370e14i | 1.13681 | − | 1.20608i | ||||
\(489\) | − | 1.62543e14i | − | 0.262887i | ||||||
\(490\) | 2.49948e14 | + | 2.45071e14i | 0.399733 | + | 0.391934i | ||||
\(491\) | −8.66005e14 | + | 8.66005e14i | −1.36953 | + | 1.36953i | −0.508428 | + | 0.861104i | \(0.669773\pi\) |
−0.861104 | + | 0.508428i | \(0.830227\pi\) | |||||||
\(492\) | −6.74482e14 | + | 7.01600e14i | −1.05478 | + | 1.09719i | ||||
\(493\) | −1.37929e14 | − | 1.37929e14i | −0.213304 | − | 0.213304i | ||||
\(494\) | −3.34669e14 | + | 3.29727e12i | −0.511820 | + | 0.00504262i | ||||
\(495\) | 6.02212e11 | 0.000910795 | ||||||||
\(496\) | −3.03152e14 | + | 1.19528e13i | −0.453431 | + | 0.0178781i | ||||
\(497\) | −1.48508e14 | −0.219679 | ||||||||
\(498\) | −1.53835e14 | + | 1.51564e12i | −0.225058 | + | 0.00221735i | ||||
\(499\) | 5.86185e14 | + | 5.86185e14i | 0.848168 | + | 0.848168i | 0.989904 | − | 0.141736i | \(-0.0452684\pi\) |
−0.141736 | + | 0.989904i | \(0.545268\pi\) | |||||||
\(500\) | 4.86277e14 | + | 4.67481e14i | 0.695902 | + | 0.669005i | ||||
\(501\) | 7.52526e14 | − | 7.52526e14i | 1.06516 | − | 1.06516i | ||||
\(502\) | 3.45210e14 | + | 3.38474e14i | 0.483296 | + | 0.473866i | ||||
\(503\) | − | 1.63209e14i | − | 0.226006i | −0.993595 | − | 0.113003i | \(-0.963953\pi\) | ||
0.993595 | − | 0.113003i | \(-0.0360470\pi\) | |||||||
\(504\) | 2.85151e10 | + | 9.64499e11i | 3.90577e−5 | + | 0.00132109i | ||||
\(505\) | − | 5.05231e14i | − | 0.684522i | ||||||
\(506\) | 1.47012e14 | − | 1.49937e14i | 0.197026 | − | 0.200947i | ||||
\(507\) | −4.43357e14 | + | 4.43357e14i | −0.587774 | + | 0.587774i | ||||
\(508\) | −3.79769e14 | + | 7.48394e12i | −0.498045 | + | 0.00981476i | ||||
\(509\) | −2.22280e14 | − | 2.22280e14i | −0.288372 | − | 0.288372i | 0.548065 | − | 0.836436i | \(-0.315365\pi\) |
−0.836436 | + | 0.548065i | \(0.815365\pi\) | |||||||
\(510\) | −1.18733e12 | − | 1.20512e14i | −0.00152382 | − | 0.154666i | ||||
\(511\) | 1.71067e14 | 0.217196 | ||||||||
\(512\) | −7.04990e13 | − | 7.93004e14i | −0.0885519 | − | 0.996072i | ||||
\(513\) | −1.01498e15 | −1.26128 | ||||||||
\(514\) | 1.14919e13 | + | 1.16641e15i | 0.0141284 | + | 1.43402i | ||||
\(515\) | −2.89305e14 | − | 2.89305e14i | −0.351898 | − | 0.351898i | ||||
\(516\) | −1.28234e15 | + | 2.52705e13i | −1.54322 | + | 0.0304117i | ||||
\(517\) | 1.12786e14 | − | 1.12786e14i | 0.134294 | − | 0.134294i | ||||
\(518\) | −3.74990e13 | + | 3.82453e13i | −0.0441780 | + | 0.0450572i | ||||
\(519\) | − | 3.38886e14i | − | 0.395033i | ||||||
\(520\) | 6.05610e12 | + | 2.04843e14i | 0.00698513 | + | 0.236266i | ||||
\(521\) | − | 1.24751e15i | − | 1.42375i | −0.702304 | − | 0.711877i | \(-0.747845\pi\) | ||
0.702304 | − | 0.711877i | \(-0.252155\pi\) | |||||||
\(522\) | 5.00158e12 | + | 4.90399e12i | 0.00564832 | + | 0.00553811i | ||||
\(523\) | −4.96253e13 | + | 4.96253e13i | −0.0554555 | + | 0.0554555i | −0.734291 | − | 0.678835i | \(-0.762485\pi\) |
0.678835 | + | 0.734291i | \(0.262485\pi\) | |||||||
\(524\) | 4.17322e14 | + | 4.01192e14i | 0.461477 | + | 0.443640i | ||||
\(525\) | 8.04743e13 | + | 8.04743e13i | 0.0880605 | + | 0.0880605i | ||||
\(526\) | −1.54358e15 | + | 1.52078e13i | −1.67150 | + | 0.0164682i | ||||
\(527\) | −1.13239e14 | −0.121349 | ||||||||
\(528\) | −2.10094e14 | + | 8.28366e12i | −0.222806 | + | 0.00878488i | ||||
\(529\) | −5.54291e14 | −0.581744 | ||||||||
\(530\) | 6.49472e14 | − | 6.39881e12i | 0.674595 | − | 0.00664633i | ||||
\(531\) | 4.74332e12 | + | 4.74332e12i | 0.00487598 | + | 0.00487598i | ||||
\(532\) | 1.61371e14 | − | 1.67859e14i | 0.164177 | − | 0.170777i | ||||
\(533\) | 4.36771e14 | − | 4.36771e14i | 0.439799 | − | 0.439799i | ||||
\(534\) | −1.45195e14 | − | 1.42362e14i | −0.144702 | − | 0.141879i | ||||
\(535\) | 2.24254e14i | 0.221205i | ||||||||
\(536\) | −2.61634e14 | + | 2.77576e14i | −0.255440 | + | 0.271004i | ||||
\(537\) | − | 9.64796e14i | − | 0.932346i | ||||||
\(538\) | 1.21468e15 | − | 1.23885e15i | 1.16187 | − | 1.18499i | ||||
\(539\) | 1.61178e14 | − | 1.61178e14i | 0.152605 | − | 0.152605i | ||||
\(540\) | 1.22449e13 | + | 6.21362e14i | 0.0114760 | + | 0.582343i | ||||
\(541\) | 9.45723e14 | + | 9.45723e14i | 0.877363 | + | 0.877363i | 0.993261 | − | 0.115898i | \(-0.0369747\pi\) |
−0.115898 | + | 0.993261i | \(0.536975\pi\) | |||||||
\(542\) | 1.05764e13 | + | 1.07349e15i | 0.00971270 | + | 0.985828i | ||||
\(543\) | 3.06176e14 | 0.278338 | ||||||||
\(544\) | −1.46319e13 | − | 2.96794e14i | −0.0131676 | − | 0.267092i | ||||
\(545\) | 8.76790e14 | 0.781115 | ||||||||
\(546\) | 8.54350e11 | + | 8.67156e13i | 0.000753488 | + | 0.0764782i | ||||
\(547\) | 1.14467e15 | + | 1.14467e15i | 0.999428 | + | 0.999428i | 1.00000 | 0.000571894i | \(-0.000182040\pi\) | |
−0.000571894 | 1.00000i | \(0.500182\pi\) | ||||||||
\(548\) | −4.17464e13 | − | 2.11840e15i | −0.0360849 | − | 1.83111i | ||||
\(549\) | −9.60357e12 | + | 9.60357e12i | −0.00821835 | + | 0.00821835i | ||||
\(550\) | 1.22609e14 | − | 1.25049e14i | 0.103879 | − | 0.105946i | ||||
\(551\) | − | 1.69030e15i | − | 1.41785i | ||||||
\(552\) | 1.09813e15 | + | 1.03506e15i | 0.911987 | + | 0.859611i | ||||
\(553\) | − | 3.02432e14i | − | 0.248679i | ||||||
\(554\) | 1.30836e15 | + | 1.28283e15i | 1.06518 | + | 1.04440i | ||||
\(555\) | −1.69870e14 | + | 1.69870e14i | −0.136932 | + | 0.136932i | ||||
\(556\) | −1.55748e15 | + | 1.62010e15i | −1.24312 | + | 1.29310i | ||||
\(557\) | 1.26785e15 | + | 1.26785e15i | 1.00199 | + | 1.00199i | 0.999998 | + | 0.00199459i | \(0.000634897\pi\) |
0.00199459 | + | 0.999998i | \(0.499365\pi\) | |||||||
\(558\) | 4.06619e12 | − | 4.00615e10i | 0.00318200 | − | 3.13501e-5i | ||||
\(559\) | 8.14033e14 | 0.630778 | ||||||||
\(560\) | −1.04709e14 | − | 9.67653e13i | −0.0803434 | − | 0.0742481i | ||||
\(561\) | −7.84779e13 | −0.0596282 | ||||||||
\(562\) | −7.84765e14 | + | 7.73176e12i | −0.590459 | + | 0.00581740i | ||||
\(563\) | −9.53526e14 | − | 9.53526e14i | −0.710455 | − | 0.710455i | 0.256175 | − | 0.966630i | \(-0.417538\pi\) |
−0.966630 | + | 0.256175i | \(0.917538\pi\) | |||||||
\(564\) | 8.26348e14 | + | 7.94408e14i | 0.609716 | + | 0.586150i | ||||
\(565\) | −2.54220e14 | + | 2.54220e14i | −0.185756 | + | 0.185756i | ||||
\(566\) | −1.72967e14 | − | 1.69592e14i | −0.125162 | − | 0.122720i | ||||
\(567\) | 2.61144e14i | 0.187143i | ||||||||
\(568\) | −1.64158e15 | + | 4.85328e13i | −1.16506 | + | 0.0344445i | ||||
\(569\) | 5.93700e14i | 0.417301i | 0.977990 | + | 0.208650i | \(0.0669071\pi\) | ||||
−0.977990 | + | 0.208650i | \(0.933093\pi\) | |||||||
\(570\) | 7.31151e14 | − | 7.45702e14i | 0.508974 | − | 0.519103i | ||||
\(571\) | 3.83062e14 | − | 3.83062e14i | 0.264101 | − | 0.264101i | −0.562617 | − | 0.826718i | \(-0.690205\pi\) |
0.826718 | + | 0.562617i | \(0.190205\pi\) | |||||||
\(572\) | 1.33420e14 | − | 2.62925e12i | 0.0911051 | − | 0.00179537i | ||||
\(573\) | 6.61163e14 | + | 6.61163e14i | 0.447155 | + | 0.447155i | ||||
\(574\) | 4.23368e12 | + | 4.29714e14i | 0.00283598 | + | 0.287849i | ||||
\(575\) | −1.25694e15 | −0.833952 | ||||||||
\(576\) | 6.30404e11 | + | 1.06521e13i | 0.000414281 | + | 0.00700024i | ||||
\(577\) | −1.21498e15 | −0.790867 | −0.395434 | − | 0.918495i | \(-0.629406\pi\) | ||||
−0.395434 | + | 0.918495i | \(0.629406\pi\) | |||||||
\(578\) | 1.41872e13 | + | 1.43999e15i | 0.00914733 | + | 0.928443i | ||||
\(579\) | −4.28912e13 | − | 4.28912e13i | −0.0273928 | − | 0.0273928i | ||||
\(580\) | −1.03479e15 | + | 2.03921e13i | −0.654633 | + | 0.0129006i | ||||
\(581\) | −4.80341e13 | + | 4.80341e13i | −0.0301010 | + | 0.0301010i | ||||
\(582\) | 9.78292e13 | − | 9.97761e13i | 0.0607284 | − | 0.0619370i | ||||
\(583\) | − | 4.22938e14i | − | 0.260076i | ||||||
\(584\) | 1.89096e15 | − | 5.59055e13i | 1.15189 | − | 0.0340552i | ||||
\(585\) | − | 2.74676e12i | − | 0.00165754i | ||||||
\(586\) | −1.57356e15 | − | 1.54285e15i | −0.940688 | − | 0.922333i | ||||
\(587\) | 8.85634e14 | − | 8.85634e14i | 0.524499 | − | 0.524499i | −0.394428 | − | 0.918927i | \(-0.629057\pi\) |
0.918927 | + | 0.394428i | \(0.129057\pi\) | |||||||
\(588\) | 1.18091e15 | + | 1.13526e15i | 0.692851 | + | 0.666071i | ||||
\(589\) | −6.93859e14 | − | 6.93859e14i | −0.403308 | − | 0.403308i | ||||
\(590\) | −9.91121e14 | + | 9.76485e12i | −0.570743 | + | 0.00562315i | ||||
\(591\) | −1.34932e15 | −0.769811 | ||||||||
\(592\) | −4.02011e14 | + | 4.35013e14i | −0.227231 | + | 0.245885i | ||||
\(593\) | −2.11099e14 | −0.118218 | −0.0591092 | − | 0.998252i | \(-0.518826\pi\) | ||||
−0.0591092 | + | 0.998252i | \(0.518826\pi\) | |||||||
\(594\) | 4.04672e14 | − | 3.98696e12i | 0.224532 | − | 0.00221216i | ||||
\(595\) | −3.76292e13 | − | 3.76292e13i | −0.0206862 | − | 0.0206862i | ||||
\(596\) | 1.70281e15 | − | 1.77127e15i | 0.927494 | − | 0.964785i | ||||
\(597\) | −1.12800e15 | + | 1.12800e15i | −0.608763 | + | 0.608763i | ||||
\(598\) | −6.83883e14 | − | 6.70538e14i | −0.365700 | − | 0.358564i | ||||
\(599\) | − | 1.04958e15i | − | 0.556122i | −0.960563 | − | 0.278061i | \(-0.910308\pi\) | ||
0.960563 | − | 0.278061i | \(-0.0896917\pi\) | |||||||
\(600\) | 9.15852e14 | + | 8.63254e14i | 0.480832 | + | 0.453217i | ||||
\(601\) | 1.43484e15i | 0.746436i | 0.927744 | + | 0.373218i | \(0.121746\pi\) | ||||
−0.927744 | + | 0.373218i | \(0.878254\pi\) | |||||||
\(602\) | −3.96495e14 | + | 4.04386e14i | −0.204389 | + | 0.208456i | ||||
\(603\) | 3.61517e12 | − | 3.61517e12i | 0.00184665 | − | 0.00184665i | ||||
\(604\) | −3.30262e13 | − | 1.67590e15i | −0.0167169 | − | 0.848290i | ||||
\(605\) | −7.77298e14 | − | 7.77298e14i | −0.389882 | − | 0.389882i | ||||
\(606\) | −2.32927e13 | − | 2.36418e15i | −0.0115776 | − | 1.17512i | ||||
\(607\) | 2.30297e15 | 1.13436 | 0.567181 | − | 0.823593i | \(-0.308034\pi\) | ||||
0.567181 | + | 0.823593i | \(0.308034\pi\) | |||||||
\(608\) | 1.72892e15 | − | 1.90823e15i | 0.843926 | − | 0.931452i | ||||
\(609\) | −4.37970e14 | −0.211860 | ||||||||
\(610\) | −1.97704e13 | − | 2.00668e15i | −0.00947768 | − | 0.961974i | ||||
\(611\) | −5.14431e14 | − | 5.14431e14i | −0.244399 | − | 0.244399i | ||||
\(612\) | 7.84729e10 | + | 3.98207e12i | 3.69477e−5 | + | 0.00187489i | ||||
\(613\) | −1.01165e15 | + | 1.01165e15i | −0.472058 | + | 0.472058i | −0.902580 | − | 0.430522i | \(-0.858330\pi\) |
0.430522 | + | 0.902580i | \(0.358330\pi\) | |||||||
\(614\) | 4.62850e14 | − | 4.72061e14i | 0.214050 | − | 0.218309i | ||||
\(615\) | 1.92742e15i | 0.883410i | ||||||||
\(616\) | −6.36794e13 | + | 6.75594e13i | −0.0289271 | + | 0.0306897i | ||||
\(617\) | 2.46635e15i | 1.11042i | 0.831711 | + | 0.555209i | \(0.187362\pi\) | ||||
−0.831711 | + | 0.555209i | \(0.812638\pi\) | |||||||
\(618\) | −1.36712e15 | − | 1.34044e15i | −0.610054 | − | 0.598151i | ||||
\(619\) | 4.54673e14 | − | 4.54673e14i | 0.201095 | − | 0.201095i | −0.599374 | − | 0.800469i | \(-0.704584\pi\) |
0.800469 | + | 0.599374i | \(0.204584\pi\) | |||||||
\(620\) | −4.16405e14 | + | 4.33147e14i | −0.182542 | + | 0.189881i | ||||
\(621\) | −2.05383e15 | − | 2.05383e15i | −0.892400 | − | 0.892400i | ||||
\(622\) | −3.52498e14 | + | 3.47292e12i | −0.151813 | + | 0.00149571i | ||||
\(623\) | −8.97878e13 | −0.0383295 | ||||||||
\(624\) | 3.77828e13 | + | 9.58264e14i | 0.0159875 | + | 0.405480i | ||||
\(625\) | −2.45046e14 | −0.102780 | ||||||||
\(626\) | −4.24243e15 | + | 4.17978e13i | −1.76383 | + | 0.0173778i | ||||
\(627\) | −4.80865e14 | − | 4.80865e14i | −0.198176 | − | 0.198176i | ||||
\(628\) | 1.23717e15 | + | 1.18935e15i | 0.505418 | + | 0.485883i | ||||
\(629\) | −1.56330e14 | + | 1.56330e14i | −0.0633088 | + | 0.0633088i | ||||
\(630\) | 1.36450e12 | + | 1.33788e12i | 0.000547775 | + | 0.000537086i | ||||
\(631\) | 2.74681e15i | 1.09312i | 0.837420 | + | 0.546560i | \(0.184063\pi\) | ||||
−0.837420 | + | 0.546560i | \(0.815937\pi\) | |||||||
\(632\) | −9.88359e13 | − | 3.34304e15i | −0.0389916 | − | 1.31886i | ||||
\(633\) | 2.91097e15i | 1.13846i | ||||||||
\(634\) | −1.31788e15 | + | 1.34410e15i | −0.510956 | + | 0.521124i | ||||
\(635\) | −5.31925e14 | + | 5.31925e14i | −0.204454 | + | 0.204454i | ||||
\(636\) | 3.03885e15 | − | 5.98853e13i | 1.15796 | − | 0.0228195i | ||||
\(637\) | −7.35156e14 | − | 7.35156e14i | −0.277723 | − | 0.277723i | ||||
\(638\) | 6.63970e12 | + | 6.73923e14i | 0.00248677 | + | 0.252404i | ||||
\(639\) | 2.20122e13 | 0.00817352 | ||||||||
\(640\) | −1.18906e15 | − | 1.03541e15i | −0.437739 | − | 0.381174i | ||||
\(641\) | 4.33345e15 | 1.58167 | 0.790833 | − | 0.612032i | \(-0.209648\pi\) | ||||
0.790833 | + | 0.612032i | \(0.209648\pi\) | |||||||
\(642\) | 1.03388e13 | + | 1.04938e15i | 0.00374134 | + | 0.379742i | ||||
\(643\) | 2.47930e15 | + | 2.47930e15i | 0.889545 | + | 0.889545i | 0.994479 | − | 0.104934i | \(-0.0334632\pi\) |
−0.104934 | + | 0.994479i | \(0.533463\pi\) | |||||||
\(644\) | 6.66204e14 | − | 1.31286e13i | 0.236993 | − | 0.00467031i | ||||
\(645\) | −1.79611e15 | + | 1.79611e15i | −0.633512 | + | 0.633512i | ||||
\(646\) | 6.72875e14 | − | 6.86265e14i | 0.235318 | − | 0.240001i | ||||
\(647\) | − | 1.92897e15i | − | 0.668885i | −0.942416 | − | 0.334443i | \(-0.891452\pi\) | ||
0.942416 | − | 0.334443i | \(-0.108548\pi\) | |||||||
\(648\) | 8.53429e13 | + | 2.88666e15i | 0.0293430 | + | 0.992505i | ||||
\(649\) | 6.45420e14i | 0.220038i | ||||||||
\(650\) | −5.70366e14 | − | 5.59236e14i | −0.192810 | − | 0.189048i | ||||
\(651\) | −1.79785e14 | + | 1.79785e14i | −0.0602639 | + | 0.0602639i | ||||
\(652\) | −5.72182e14 | − | 5.50067e14i | −0.190183 | − | 0.182833i | ||||
\(653\) | 6.57083e14 | + | 6.57083e14i | 0.216570 | + | 0.216570i | 0.807051 | − | 0.590481i | \(-0.201062\pi\) |
−0.590481 | + | 0.807051i | \(0.701062\pi\) | |||||||
\(654\) | 4.10286e15 | − | 4.04227e13i | 1.34094 | − | 0.0132114i | ||||
\(655\) | 1.14646e15 | 0.371561 | ||||||||
\(656\) | 1.87231e14 | + | 4.74862e15i | 0.0601736 | + | 1.52615i | ||||
\(657\) | −2.53561e13 | −0.00808115 | ||||||||
\(658\) | 5.06119e14 | − | 4.98645e12i | 0.159960 | − | 0.00157597i | ||||
\(659\) | −3.43636e15 | − | 3.43636e15i | −1.07703 | − | 1.07703i | −0.996774 | − | 0.0802587i | \(-0.974425\pi\) |
−0.0802587 | − | 0.996774i | \(-0.525575\pi\) | |||||||
\(660\) | −2.88582e14 | + | 3.00184e14i | −0.0896968 | + | 0.0933031i | ||||
\(661\) | 2.46547e15 | − | 2.46547e15i | 0.759963 | − | 0.759963i | −0.216353 | − | 0.976315i | \(-0.569416\pi\) |
0.976315 | + | 0.216353i | \(0.0694161\pi\) | |||||||
\(662\) | 4.06780e15 | + | 3.98842e15i | 1.24348 | + | 1.21922i | ||||
\(663\) | 3.57948e14i | 0.108516i | ||||||||
\(664\) | −5.15265e14 | + | 5.46660e14i | −0.154919 | + | 0.164359i | ||||
\(665\) | − | 4.61137e14i | − | 0.137503i | ||||||
\(666\) | 5.55821e12 | − | 5.66882e12i | 0.00164372 | − | 0.00167643i | ||||
\(667\) | 3.42035e15 | − | 3.42035e15i | 1.00318 | − | 1.00318i | ||||
\(668\) | −1.02389e14 | − | 5.19569e15i | −0.0297841 | − | 1.51138i | ||||
\(669\) | −1.38005e15 | − | 1.38005e15i | −0.398154 | − | 0.398154i | ||||
\(670\) | 7.44239e12 | + | 7.55394e14i | 0.00212961 | + | 0.216153i | ||||
\(671\) | −1.30675e15 | −0.370868 | ||||||||
\(672\) | −4.94438e14 | − | 4.47977e14i | −0.139181 | − | 0.126103i | ||||
\(673\) | 5.59870e15 | 1.56316 | 0.781581 | − | 0.623803i | \(-0.214413\pi\) | ||||
0.781581 | + | 0.623803i | \(0.214413\pi\) | |||||||
\(674\) | −2.20510e13 | − | 2.23816e15i | −0.00610661 | − | 0.619814i | ||||
\(675\) | −1.71291e15 | − | 1.71291e15i | −0.470505 | − | 0.470505i | ||||
\(676\) | 6.03235e13 | + | 3.06109e15i | 0.0164354 | + | 0.834005i | ||||
\(677\) | 9.69257e14 | − | 9.69257e14i | 0.261940 | − | 0.261940i | −0.563902 | − | 0.825842i | \(-0.690700\pi\) |
0.825842 | + | 0.563902i | \(0.190700\pi\) | |||||||
\(678\) | −1.17788e15 | + | 1.20132e15i | −0.315746 | + | 0.322030i | ||||
\(679\) | − | 6.17009e13i | − | 0.0164062i | ||||||
\(680\) | −4.28245e14 | − | 4.03651e14i | −0.112952 | − | 0.106465i | ||||
\(681\) | − | 4.72504e15i | − | 1.23622i | ||||||
\(682\) | 2.79368e14 | + | 2.73917e14i | 0.0725041 | + | 0.0710893i | ||||
\(683\) | 6.09310e14 | − | 6.09310e14i | 0.156864 | − | 0.156864i | −0.624311 | − | 0.781176i | \(-0.714620\pi\) |
0.781176 | + | 0.624311i | \(0.214620\pi\) | |||||||
\(684\) | −2.39189e13 | + | 2.48805e13i | −0.00610847 | + | 0.00635406i | ||||
\(685\) | −2.96715e15 | − | 2.96715e15i | −0.751693 | − | 0.751693i | ||||
\(686\) | 1.47319e15 | − | 1.45144e13i | 0.370235 | − | 0.00364768i | ||||
\(687\) | 7.69116e14 | 0.191748 | ||||||||
\(688\) | −4.25065e15 | + | 4.59960e15i | −1.05128 | + | 1.13759i | ||||
\(689\) | −1.92907e15 | −0.473307 | ||||||||
\(690\) | 2.98845e15 | − | 2.94431e13i | 0.727404 | − | 0.00716662i | ||||
\(691\) | −2.63310e14 | − | 2.63310e14i | −0.0635826 | − | 0.0635826i | 0.674600 | − | 0.738183i | \(-0.264316\pi\) |
−0.738183 | + | 0.674600i | \(0.764316\pi\) | |||||||
\(692\) | −1.19295e15 | − | 1.14684e15i | −0.285784 | − | 0.274738i | ||||
\(693\) | 8.79900e11 | − | 8.79900e11i | 0.000209122 | − | 0.000209122i | ||||
\(694\) | 2.25378e15 | + | 2.20981e15i | 0.531417 | + | 0.521047i | ||||
\(695\) | 4.45070e15i | 1.04115i | ||||||||
\(696\) | −4.84126e15 | + | 1.43130e14i | −1.12359 | + | 0.0332185i | ||||
\(697\) | 1.77379e15i | 0.408434i | ||||||||
\(698\) | −5.87166e15 | + | 5.98851e15i | −1.34139 | + | 1.36809i | ||||
\(699\) | 1.40469e15 | − | 1.40469e15i | 0.318388 | − | 0.318388i | ||||
\(700\) | 5.55622e14 | − | 1.09494e13i | 0.124951 | − | 0.00246236i | ||||
\(701\) | 3.81857e15 | + | 3.81857e15i | 0.852024 | + | 0.852024i | 0.990382 | − | 0.138358i | \(-0.0441824\pi\) |
−0.138358 | + | 0.990382i | \(0.544182\pi\) | |||||||
\(702\) | −1.81850e13 | − | 1.84576e15i | −0.00402587 | − | 0.408621i | ||||
\(703\) | −1.91579e15 | −0.420817 | ||||||||
\(704\) | −6.81826e14 | + | 7.67604e14i | −0.148602 | + | 0.167297i | ||||
\(705\) | 2.27012e15 | 0.490918 | ||||||||
\(706\) | −5.21389e13 | − | 5.29204e15i | −0.0111876 | − | 1.13553i | ||||
\(707\) | −7.38200e14 | − | 7.38200e14i | −0.157169 | − | 0.157169i | ||||
\(708\) | −4.63741e15 | + | 9.13874e13i | −0.979699 | + | 0.0193065i | ||||
\(709\) | −2.06573e15 | + | 2.06573e15i | −0.433031 | + | 0.433031i | −0.889658 | − | 0.456627i | \(-0.849057\pi\) |
0.456627 | + | 0.889658i | \(0.349057\pi\) | |||||||
\(710\) | −2.27708e15 | + | 2.32240e15i | −0.473650 | + | 0.483076i | ||||
\(711\) | 4.48273e13i | 0.00925252i | ||||||||
\(712\) | −9.92503e14 | + | 2.93430e13i | −0.203279 | + | 0.00600986i | ||||
\(713\) | − | 2.80808e15i | − | 0.570712i | ||||||
\(714\) | −1.77817e14 | − | 1.74347e14i | −0.0358619 | − | 0.0351621i | ||||
\(715\) | 1.86875e14 | − | 1.86875e14i | 0.0373997 | − | 0.0373997i | ||||
\(716\) | −3.39627e15 | − | 3.26500e15i | −0.674498 | − | 0.648428i | ||||
\(717\) | −5.15116e15 | − | 5.15116e15i | −1.01519 | − | 1.01519i | ||||
\(718\) | 1.81557e15 | − | 1.78876e13i | 0.355083 | − | 0.00349839i | ||||
\(719\) | −9.28686e15 | −1.80244 | −0.901218 | − | 0.433366i | \(-0.857326\pi\) | ||||
−0.901218 | + | 0.433366i | \(0.857326\pi\) | |||||||
\(720\) | 1.55203e13 | + | 1.43428e13i | 0.00298931 | + | 0.00276253i | ||||
\(721\) | −8.45416e14 | −0.161594 | ||||||||
\(722\) | 3.05649e15 | − | 3.01135e13i | 0.579787 | − | 0.00571225i | ||||
\(723\) | 4.48203e15 | + | 4.48203e15i | 0.843751 | + | 0.843751i | ||||
\(724\) | 1.03614e15 | − | 1.07780e15i | 0.193578 | − | 0.201361i | ||||
\(725\) | 2.85261e15 | − | 2.85261e15i | 0.528912 | − | 0.528912i | ||||
\(726\) | −3.67313e15 | − | 3.60146e15i | −0.675904 | − | 0.662715i | ||||
\(727\) | 7.23879e15i | 1.32198i | 0.750393 | + | 0.660992i | \(0.229864\pi\) | ||||
−0.750393 | + | 0.660992i | \(0.770136\pi\) | |||||||
\(728\) | 3.08147e14 | + | 2.90450e14i | 0.0558516 | + | 0.0526440i | ||||
\(729\) | − | 5.59749e15i | − | 1.00691i | ||||||
\(730\) | 2.62299e15 | − | 2.67519e15i | 0.468297 | − | 0.477616i | ||||
\(731\) | −1.65295e15 | + | 1.65295e15i | −0.292897 | + | 0.292897i | ||||
\(732\) | −1.85028e14 | − | 9.38915e15i | −0.0325406 | − | 1.65126i | ||||
\(733\) | 1.06411e15 | + | 1.06411e15i | 0.185743 | + | 0.185743i | 0.793853 | − | 0.608110i | \(-0.208072\pi\) |
−0.608110 | + | 0.793853i | \(0.708072\pi\) | |||||||
\(734\) | 6.63450e13 | + | 6.73394e15i | 0.0114942 | + | 1.16665i | ||||
\(735\) | 3.24415e15 | 0.557854 | ||||||||
\(736\) | 7.35985e15 | − | 3.62840e14i | 1.25615 | − | 0.0619280i | ||||
\(737\) | 4.91914e14 | 0.0833333 | ||||||||
\(738\) | −6.27529e11 | − | 6.36935e13i | −0.000105517 | − | 0.0107099i | ||||
\(739\) | 2.11437e15 | + | 2.11437e15i | 0.352887 | + | 0.352887i | 0.861183 | − | 0.508295i | \(-0.169724\pi\) |
−0.508295 | + | 0.861183i | \(0.669724\pi\) | |||||||
\(740\) | 2.31126e13 | + | 1.17284e15i | 0.00382890 | + | 0.194296i | ||||
\(741\) | −2.19329e15 | + | 2.19329e15i | −0.360658 | + | 0.360658i | ||||
\(742\) | 9.39603e14 | − | 9.58302e14i | 0.153364 | − | 0.156416i | ||||
\(743\) | 5.36629e15i | 0.869432i | 0.900568 | + | 0.434716i | \(0.143151\pi\) | ||||
−0.900568 | + | 0.434716i | \(0.856849\pi\) | |||||||
\(744\) | −1.92856e15 | + | 2.04607e15i | −0.310158 | + | 0.329056i | ||||
\(745\) | − | 4.86598e15i | − | 0.776803i | ||||||
\(746\) | 4.45776e15 | + | 4.37078e15i | 0.706404 | + | 0.692621i | ||||
\(747\) | 7.11975e12 | − | 7.11975e12i | 0.00111996 | − | 0.00111996i | ||||
\(748\) | −2.65580e14 | + | 2.76258e14i | −0.0414703 | + | 0.0431376i | ||||
\(749\) | 3.27661e14 | + | 3.27661e14i | 0.0507896 | + | 0.0507896i | ||||
\(750\) | 6.25115e15 | − | 6.15884e13i | 0.961885 | − | 0.00947681i | ||||
\(751\) | −6.27521e15 | −0.958536 | −0.479268 | − | 0.877669i | \(-0.659098\pi\) | ||||
−0.479268 | + | 0.877669i | \(0.659098\pi\) | |||||||
\(752\) | 5.59295e15 | − | 2.20521e14i | 0.848092 | − | 0.0334389i | ||||
\(753\) | 4.48060e15 | 0.674471 | ||||||||
\(754\) | 3.07385e15 | − | 3.02845e13i | 0.459346 | − | 0.00452562i | ||||
\(755\) | −2.34735e15 | − | 2.34735e15i | −0.348233 | − | 0.348233i | ||||
\(756\) | 9.25772e14 | + | 8.89989e14i | 0.136343 | + | 0.131074i | ||||
\(757\) | 5.57647e15 | − | 5.57647e15i | 0.815327 | − | 0.815327i | −0.170100 | − | 0.985427i | \(-0.554409\pi\) |
0.985427 | + | 0.170100i | \(0.0544091\pi\) | |||||||
\(758\) | −5.71125e15 | − | 5.59981e15i | −0.828992 | − | 0.812816i | ||||
\(759\) | − | 1.94608e15i | − | 0.280435i | ||||||
\(760\) | −1.50701e14 | − | 5.09735e15i | −0.0215597 | − | 0.729239i | ||||
\(761\) | 9.13565e15i | 1.29755i | 0.760981 | + | 0.648775i | \(0.224718\pi\) | ||||
−0.760981 | + | 0.648775i | \(0.775282\pi\) | |||||||
\(762\) | −2.46457e15 | + | 2.51362e15i | −0.347527 | + | 0.354443i | ||||
\(763\) | 1.28109e15 | − | 1.28109e15i | 0.179347 | − | 0.179347i | ||||
\(764\) | 4.56489e15 | − | 8.99583e13i | 0.634478 | − | 0.0125034i | ||||
\(765\) | 5.57750e12 | + | 5.57750e12i | 0.000769665 | + | 0.000769665i | ||||
\(766\) | 2.16814e13 | + | 2.20063e15i | 0.00297049 | + | 0.301501i | ||||
\(767\) | 2.94384e15 | 0.400443 | ||||||||
\(768\) | −5.61186e15 | − | 4.79030e15i | −0.757914 | − | 0.646958i | ||||
\(769\) | −1.05572e16 | −1.41564 | −0.707822 | − | 0.706390i | \(-0.750322\pi\) | ||||
−0.707822 | + | 0.706390i | \(0.750322\pi\) | |||||||
\(770\) | 1.81141e12 | + | 1.83856e14i | 0.000241167 | + | 0.0244782i | ||||
\(771\) | 7.64420e15 | + | 7.64420e15i | 1.01049 | + | 1.01049i | ||||
\(772\) | −2.96135e14 | + | 5.83581e12i | −0.0388682 | + | 0.000765959i | ||||
\(773\) | 4.20745e14 | − | 4.20745e14i | 0.0548317 | − | 0.0548317i | −0.679159 | − | 0.733991i | \(-0.737655\pi\) |
0.733991 | + | 0.679159i | \(0.237655\pi\) | |||||||
\(774\) | 5.87696e13 | − | 5.99392e13i | 0.00760462 | − | 0.00775596i | ||||
\(775\) | − | 2.34197e15i | − | 0.300900i | ||||||
\(776\) | −2.01641e13 | − | 6.82034e14i | −0.00257240 | − | 0.0870095i | ||||
\(777\) | 4.96397e14i | 0.0628802i | ||||||||
\(778\) | −3.93188e14 | − | 3.85516e14i | −0.0494552 | − | 0.0484902i | ||||
\(779\) | −1.08687e16 | + | 1.08687e16i | −1.35744 | + | 1.35744i | ||||
\(780\) | 1.36918e15 | + | 1.31626e15i | 0.169801 | + | 0.163238i | ||||
\(781\) | 1.49760e15 | + | 1.49760e15i | 0.184422 | + | 0.184422i | ||||
\(782\) | 2.75025e15 | − | 2.70964e13i | 0.336306 | − | 0.00331340i | ||||
\(783\) | 9.32228e15 | 1.13196 | ||||||||
\(784\) | 7.99269e15 | − | 3.15139e14i | 0.963729 | − | 0.0379983i | ||||
\(785\) | 3.39871e15 | 0.406941 | ||||||||
\(786\) | 5.36474e15 | − | 5.28551e13i | 0.637859 | − | 0.00628439i | ||||
\(787\) | −6.07370e15 | − | 6.07370e15i | −0.717121 | − | 0.717121i | 0.250894 | − | 0.968015i | \(-0.419275\pi\) |
−0.968015 | + | 0.250894i | \(0.919275\pi\) | |||||||
\(788\) | −4.56629e15 | + | 4.74988e15i | −0.535389 | + | 0.556914i | ||||
\(789\) | −1.01160e16 | + | 1.01160e16i | −1.17784 | + | 1.17784i | ||||
\(790\) | −4.72950e15 | − | 4.63722e15i | −0.546848 | − | 0.536177i | ||||
\(791\) | 7.42889e14i | 0.0853009i | ||||||||
\(792\) | 9.43875e12 | − | 1.00139e13i | 0.00107628 | − | 0.00114186i | ||||
\(793\) | 5.96026e15i | 0.674936i | ||||||||
\(794\) | −1.79518e15 | + | 1.83090e15i | −0.201880 | + | 0.205898i | ||||
\(795\) | 4.25638e15 | − | 4.25638e15i | 0.475358 | − | 0.475358i | ||||
\(796\) | 1.53476e14 | + | 7.78806e15i | 0.0170223 | + | 0.863788i | ||||
\(797\) | 7.43572e15 | + | 7.43572e15i | 0.819034 | + | 0.819034i | 0.985968 | − | 0.166934i | \(-0.0533866\pi\) |
−0.166934 | + | 0.985968i | \(0.553387\pi\) | |||||||
\(798\) | −2.12598e13 | − | 2.15785e15i | −0.00232565 | − | 0.236051i | ||||
\(799\) | 2.08918e15 | 0.226970 | ||||||||
\(800\) | 6.13819e15 | − | 3.02612e14i | 0.662286 | − | 0.0326507i | ||||
\(801\) | 1.33086e13 | 0.00142611 | ||||||||
\(802\) | −1.75241e14 | − | 1.77868e16i | −0.0186499 | − | 1.89294i | ||||
\(803\) | −1.72510e15 | − | 1.72510e15i | −0.182338 | − | 0.182338i | ||||
\(804\) | 6.96520e13 | + | 3.53446e15i | 0.00731181 | + | 0.371034i | ||||
\(805\) | 9.33122e14 | − | 9.33122e14i | 0.0972884 | − | 0.0972884i | ||||
\(806\) | 1.24937e15 | − | 1.27423e15i | 0.129374 | − | 0.131949i | ||||
\(807\) | − | 1.60794e16i | − | 1.65374i | ||||||
\(808\) | −8.40121e15 | − | 7.91872e15i | −0.858182 | − | 0.808896i | ||||
\(809\) | 3.62426e15i | 0.367708i | 0.982954 | + | 0.183854i | \(0.0588573\pi\) | ||||
−0.982954 | + | 0.183854i | \(0.941143\pi\) | |||||||
\(810\) | 4.08384e15 | + | 4.00415e15i | 0.411529 | + | 0.403499i | ||||
\(811\) | −5.45703e15 | + | 5.45703e15i | −0.546187 | + | 0.546187i | −0.925336 | − | 0.379149i | \(-0.876217\pi\) |
0.379149 | + | 0.925336i | \(0.376217\pi\) | |||||||
\(812\) | −1.48215e15 | + | 1.54174e15i | −0.147344 | + | 0.153269i | ||||
\(813\) | 7.03521e15 | + | 7.03521e15i | 0.694671 | + | 0.694671i | ||||
\(814\) | 7.63828e14 | − | 7.52548e12i | 0.0749137 | − | 0.000738074i | ||||
\(815\) | −1.57188e15 | −0.153128 | ||||||||
\(816\) | −2.02255e15 | − | 1.86910e15i | −0.195705 | − | 0.180858i | ||||
\(817\) | −2.02566e16 | −1.94691 | ||||||||
\(818\) | −1.45172e16 | + | 1.43028e14i | −1.38593 | + | 0.0136546i | ||||
\(819\) | −4.01333e12 | − | 4.01333e12i | −0.000380578 | − | 0.000380578i | ||||
\(820\) | 6.78489e15 | + | 6.52264e15i | 0.639096 | + | 0.614394i | ||||
\(821\) | 7.79173e14 | − | 7.79173e14i | 0.0729032 | − | 0.0729032i | −0.669715 | − | 0.742618i | \(-0.733584\pi\) |
0.742618 | + | 0.669715i | \(0.233584\pi\) | |||||||
\(822\) | −1.40213e16 | − | 1.37477e16i | −1.30315 | − | 1.27772i | ||||
\(823\) | − | 1.87740e16i | − | 1.73323i | −0.498975 | − | 0.866616i | \(-0.666290\pi\) | ||
0.498975 | − | 0.866616i | \(-0.333710\pi\) | |||||||
\(824\) | −9.34512e15 | + | 2.76285e14i | −0.857008 | + | 0.0253371i | ||||
\(825\) | − | 1.62305e15i | − | 0.147855i | ||||||
\(826\) | −1.43387e15 | + | 1.46241e15i | −0.129754 | + | 0.132336i | ||||
\(827\) | 3.96952e15 | − | 3.96952e15i | 0.356827 | − | 0.356827i | −0.505815 | − | 0.862642i | \(-0.668808\pi\) |
0.862642 | + | 0.505815i | \(0.168808\pi\) | |||||||
\(828\) | −9.87467e13 | + | 1.94596e12i | −0.00881771 | + | 0.000173767i | ||||
\(829\) | −8.56186e15 | − | 8.56186e15i | −0.759483 | − | 0.759483i | 0.216745 | − | 0.976228i | \(-0.430456\pi\) |
−0.976228 | + | 0.216745i | \(0.930456\pi\) | |||||||
\(830\) | 1.46571e13 | + | 1.48768e15i | 0.00129157 | + | 0.131093i | ||||
\(831\) | 1.69816e16 | 1.48653 | ||||||||
\(832\) | 3.50114e15 | + | 3.10989e15i | 0.304461 | + | 0.270438i | ||||
\(833\) | 2.98557e15 | 0.257917 | ||||||||
\(834\) | 2.05191e14 | + | 2.08266e16i | 0.0176094 | + | 1.78734i | ||||
\(835\) | −7.27737e15 | − | 7.27737e15i | −0.620439 | − | 0.620439i | ||||
\(836\) | −3.32005e15 | + | 6.54268e13i | −0.281197 | + | 0.00554143i | ||||
\(837\) | 3.82675e15 | − | 3.82675e15i | 0.321989 | − | 0.321989i | ||||
\(838\) | −5.37249e15 | + | 5.47940e15i | −0.449090 | + | 0.458027i | ||||
\(839\) | − | 1.76310e16i | − | 1.46415i | −0.681224 | − | 0.732075i | \(-0.738552\pi\) | ||
0.681224 | − | 0.732075i | \(-0.261448\pi\) | |||||||
\(840\) | −1.32077e15 | + | 3.90480e13i | −0.108966 | + | 0.00322153i | ||||
\(841\) | 3.32441e15i | 0.272481i | ||||||||
\(842\) | −3.14382e15 | − | 3.08248e15i | −0.256001 | − | 0.251006i | ||||
\(843\) | −5.14304e15 | + | 5.14304e15i | −0.416072 | + | 0.416072i | ||||
\(844\) | 1.02472e16 | + | 9.85112e15i | 0.823610 | + | 0.791776i | ||||
\(845\) | 4.28752e15 | + | 4.28752e15i | 0.342369 | + | 0.342369i | ||||
\(846\) | −7.50185e13 | + | 7.39106e11i | −0.00595156 | + | 5.86367e-5i | ||||
\(847\) | −2.27144e15 | −0.179037 | ||||||||
\(848\) | 1.00731e16 | − | 1.09000e16i | 0.788833 | − | 0.853591i | ||||
\(849\) | −2.24499e15 | −0.174671 | ||||||||
\(850\) | 2.29374e15 | − | 2.25987e13i | 0.177313 | − | 0.00174694i | ||||
\(851\) | −3.87665e15 | − | 3.87665e15i | −0.297744 | − | 0.297744i | ||||
\(852\) | −1.05483e16 | + | 1.09724e16i | −0.804944 | + | 0.837307i | ||||
\(853\) | 8.96322e15 | − | 8.96322e15i | 0.679586 | − | 0.679586i | −0.280320 | − | 0.959907i | \(-0.590441\pi\) |
0.959907 | + | 0.280320i | \(0.0904407\pi\) | |||||||
\(854\) | −2.96087e15 | − | 2.90310e15i | −0.223049 | − | 0.218697i | ||||
\(855\) | 6.83511e13i | 0.00511602i | ||||||||
\(856\) | 3.72900e15 | + | 3.51484e15i | 0.277324 | + | 0.261397i | ||||
\(857\) | − | 1.38540e16i | − | 1.02372i | −0.859069 | − | 0.511859i | \(-0.828957\pi\) | ||
0.859069 | − | 0.511859i | \(-0.171043\pi\) | |||||||
\(858\) | 8.65850e14 | − | 8.83081e14i | 0.0635715 | − | 0.0648367i | ||||
\(859\) | −9.36023e14 | + | 9.36023e14i | −0.0682848 | + | 0.0682848i | −0.740424 | − | 0.672140i | \(-0.765375\pi\) |
0.672140 | + | 0.740424i | \(0.265375\pi\) | |||||||
\(860\) | 2.44380e14 | + | 1.24010e16i | 0.0177143 | + | 0.898905i | ||||
\(861\) | 2.81617e15 | + | 2.81617e15i | 0.202835 | + | 0.202835i | ||||
\(862\) | 1.10859e14 | + | 1.12521e16i | 0.00793383 | + | 0.805275i | ||||
\(863\) | 2.24799e16 | 1.59858 | 0.799291 | − | 0.600945i | \(-0.205209\pi\) | ||||
0.799291 | + | 0.600945i | \(0.205209\pi\) | |||||||
\(864\) | 1.05242e16 | + | 9.53529e15i | 0.743643 | + | 0.673765i | ||||
\(865\) | −3.27723e15 | −0.230101 | ||||||||
\(866\) | −3.54255e13 | − | 3.59565e15i | −0.00247154 | − | 0.250859i | ||||
\(867\) | 9.43710e15 | + | 9.43710e15i | 0.654234 | + | 0.654234i | ||||
\(868\) | 2.44616e13 | + | 1.24129e15i | 0.00168510 | + | 0.0855098i | ||||
\(869\) | −3.04981e15 | + | 3.04981e15i | −0.208768 | + | 0.208768i | ||||
\(870\) | −6.71543e15 | + | 6.84907e15i | −0.456792 | + | 0.465882i | ||||
\(871\) | − | 2.24368e15i | − | 0.151657i | ||||||
\(872\) | 1.37424e16 | − | 1.45797e16i | 0.923040 | − | 0.979281i | ||||
\(873\) | 9.14549e12i | 0.000610420i | ||||||||
\(874\) | 1.70179e16 | + | 1.66858e16i | 1.12874 | + | 1.10671i | ||||
\(875\) | 1.95188e15 | − | 1.95188e15i | 0.128650 | − | 0.128650i | ||||
\(876\) | 1.21507e16 | − | 1.26392e16i | 0.795847 | − | 0.827844i | ||||
\(877\) | 4.07874e14 | + | 4.07874e14i | 0.0265478 | + | 0.0265478i | 0.720256 | − | 0.693708i | \(-0.244024\pi\) |
−0.693708 | + | 0.720256i | \(0.744024\pi\) | |||||||
\(878\) | −2.47398e16 | + | 2.43745e14i | −1.60021 | + | 0.0157658i | ||||
\(879\) | −2.04237e16 | −1.31279 | ||||||||
\(880\) | 8.01079e13 | + | 2.03173e15i | 0.00511706 | + | 0.129781i | ||||
\(881\) | −1.29668e15 | −0.0823122 | −0.0411561 | − | 0.999153i | \(-0.513104\pi\) | ||||
−0.0411561 | + | 0.999153i | \(0.513104\pi\) | |||||||
\(882\) | −1.07206e14 | + | 1.05623e12i | −0.00676306 | + | 6.66319e-5i | ||||
\(883\) | 1.46438e16 | + | 1.46438e16i | 0.918056 | + | 0.918056i | 0.996888 | − | 0.0788318i | \(-0.0251190\pi\) |
−0.0788318 | + | 0.996888i | \(0.525119\pi\) | |||||||
\(884\) | 1.26005e15 | + | 1.21134e15i | 0.0785054 | + | 0.0754710i | ||||
\(885\) | −6.49541e15 | + | 6.49541e15i | −0.402178 | + | 0.402178i | ||||
\(886\) | 3.53964e15 | + | 3.47057e15i | 0.217808 | + | 0.213558i | ||||
\(887\) | 1.45969e16i | 0.892648i | 0.894871 | + | 0.446324i | \(0.147267\pi\) | ||||
−0.894871 | + | 0.446324i | \(0.852733\pi\) | |||||||
\(888\) | 1.62225e14 | + | 5.48712e15i | 0.00985928 | + | 0.333482i | ||||
\(889\) | 1.55441e15i | 0.0938869i | ||||||||
\(890\) | −1.37672e15 | + | 1.40412e15i | −0.0826422 | + | 0.0842868i | ||||
\(891\) | 2.63346e15 | − | 2.63346e15i | 0.157108 | − | 0.157108i | ||||
\(892\) | −9.52833e15 | + | 1.87771e14i | −0.564950 | + | 0.0111332i | ||||
\(893\) | 1.28012e16 | + | 1.28012e16i | 0.754342 | + | 0.754342i | ||||
\(894\) | −2.24337e14 | − | 2.27699e16i | −0.0131384 | − | 1.33354i | ||||
\(895\) | −9.33014e15 | −0.543077 | ||||||||
\(896\) | −3.25021e15 | + | 2.24504e14i | −0.188026 | + | 0.0129876i | ||||
\(897\) | −8.87633e15 | −0.510358 | ||||||||
\(898\) | −5.48868e13 | − | 5.57095e15i | −0.00313652 | − | 0.318354i | ||||
\(899\) | 6.37291e15 | + | 6.37291e15i | 0.361959 | + | 0.361959i | ||||
\(900\) | −8.23559e13 | + | 1.62295e12i | −0.00464901 | + | 9.16161e-5i | ||||
\(901\) | 3.91712e15 | − | 3.91712e15i | 0.219776 | − | 0.219776i | ||||
\(902\) | 4.29067e15 | − | 4.37606e15i | 0.239271 | − | 0.244032i | ||||
\(903\) | 5.24865e15i | 0.290914i | ||||||||
\(904\) | 2.42779e14 | + | 8.21181e15i | 0.0133747 | + | 0.452389i | ||||
\(905\) | − | 2.96090e15i | − | 0.162128i | ||||||
\(906\) | −1.10924e16 | − | 1.08760e16i | −0.603701 | − | 0.591922i | ||||
\(907\) | −1.79943e14 | + | 1.79943e14i | −0.00973408 | + | 0.00973408i | −0.711957 | − | 0.702223i | \(-0.752191\pi\) |
0.702223 | + | 0.711957i | \(0.252191\pi\) | |||||||
\(908\) | −1.66331e16 | − | 1.59902e16i | −0.894336 | − | 0.859768i | ||||
\(909\) | 1.09418e14 | + | 1.09418e14i | 0.00584774 | + | 0.00584774i | ||||
\(910\) | 8.38590e14 | − | 8.26206e12i | 0.0445474 | − | 0.000438895i | ||||
\(911\) | 4.66120e15 | 0.246120 | 0.123060 | − | 0.992399i | \(-0.460729\pi\) | ||||
0.123060 | + | 0.992399i | \(0.460729\pi\) | |||||||
\(912\) | −9.40197e14 | − | 2.38457e16i | −0.0493455 | − | 1.25152i | ||||
\(913\) | 9.68780e14 | 0.0505401 | ||||||||
\(914\) | 2.67875e16 | − | 2.63919e14i | 1.38908 | − | 0.0136857i | ||||
\(915\) | −1.31509e16 | − | 1.31509e16i | −0.677862 | − | 0.677862i | ||||
\(916\) | 2.60280e15 | − | 2.70744e15i | 0.133357 | − | 0.138718i | ||||
\(917\) | 1.67510e15 | − | 1.67510e15i | 0.0853120 | − | 0.0853120i | ||||
\(918\) | 3.78487e15 | + | 3.71102e15i | 0.191609 | + | 0.187871i | ||||
\(919\) | 7.32403e15i | 0.368565i | 0.982873 | + | 0.184283i | \(0.0589962\pi\) | ||||
−0.982873 | + | 0.184283i | \(0.941004\pi\) | |||||||
\(920\) | 1.00097e16 | − | 1.06196e16i | 0.500710 | − | 0.531219i | ||||
\(921\) | − | 6.12703e15i | − | 0.304665i | ||||||
\(922\) | 1.40745e16 | − | 1.43545e16i | 0.695683 | − | 0.709528i | ||||
\(923\) | 6.83072e15 | − | 6.83072e15i | 0.335627 | − | 0.335627i | ||||
\(924\) | 1.69526e13 | + | 8.60254e14i | 0.000828022 | + | 0.0420176i | ||||
\(925\) | −3.23317e15 | − | 3.23317e15i | −0.156981 | − | 0.156981i | ||||
\(926\) | −9.75092e13 | − | 9.89707e15i | −0.00470636 | − | 0.477690i | ||||
\(927\) | 1.25310e14 | 0.00601239 | ||||||||
\(928\) | −1.58796e16 | + | 1.75266e16i | −0.757403 | + | 0.835955i | ||||
\(929\) | 3.83734e15 | 0.181946 | 0.0909732 | − | 0.995853i | \(-0.471002\pi\) | ||||
0.0909732 | + | 0.995853i | \(0.471002\pi\) | |||||||
\(930\) | 5.48594e13 | + | 5.56817e15i | 0.00258580 | + | 0.262456i | ||||
\(931\) | 1.82938e16 | + | 1.82938e16i | 0.857196 | + | 0.857196i | ||||
\(932\) | −1.91123e14 | − | 9.69845e15i | −0.00890278 | − | 0.451767i | ||||
\(933\) | −2.31013e15 | + | 2.31013e15i | −0.106976 | + | 0.106976i | ||||
\(934\) | −5.08227e14 | + | 5.18341e14i | −0.0233965 | + | 0.0238621i | ||||
\(935\) | 7.58928e14i | 0.0347325i | ||||||||
\(936\) | −4.56745e13 | − | 4.30513e13i | −0.00207805 | − | 0.00195871i | ||||
\(937\) | 3.42166e15i | 0.154764i | 0.997002 | + | 0.0773818i | \(0.0246560\pi\) | ||||
−0.997002 | + | 0.0773818i | \(0.975344\pi\) | |||||||
\(938\) | 1.11459e15 | + | 1.09284e15i | 0.0501187 | + | 0.0491408i | ||||
\(939\) | −2.78032e16 | + | 2.78032e16i | −1.24289 | + | 1.24289i | ||||
\(940\) | 7.68239e15 | − | 7.99127e15i | 0.341424 | − | 0.355151i | ||||
\(941\) | −4.01665e15 | − | 4.01665e15i | −0.177468 | − | 0.177468i | 0.612783 | − | 0.790251i | \(-0.290050\pi\) |
−0.790251 | + | 0.612783i | \(0.790050\pi\) | |||||||
\(942\) | 1.59040e16 | − | 1.56691e14i | 0.698595 | − | 0.00688279i | ||||
\(943\) | −4.39862e16 | −1.92089 | ||||||||
\(944\) | −1.53719e16 | + | 1.66339e16i | −0.667394 | + | 0.722183i | ||||
\(945\) | 2.54325e15 | 0.109778 | ||||||||
\(946\) | 8.07632e15 | − | 7.95705e13i | 0.346587 | − | 0.00341469i | ||||
\(947\) | −2.64810e16 | − | 2.64810e16i | −1.12982 | − | 1.12982i | −0.990206 | − | 0.139617i | \(-0.955413\pi\) |
−0.139617 | − | 0.990206i | \(-0.544587\pi\) | |||||||
\(948\) | −2.23451e16 | − | 2.14814e16i | −0.947841 | − | 0.911206i | ||||
\(949\) | −7.86838e15 | + | 7.86838e15i | −0.331834 | + | 0.331834i | ||||
\(950\) | 1.41931e16 | + | 1.39162e16i | 0.595111 | + | 0.583499i | ||||
\(951\) | 1.74455e16i | 0.727263i | ||||||||
\(952\) | −1.21549e15 | + | 3.59357e13i | −0.0503790 | + | 0.00148944i | ||||
\(953\) | − | 1.46484e16i | − | 0.603640i | −0.953365 | − | 0.301820i | \(-0.902406\pi\) | ||
0.953365 | − | 0.301820i | \(-0.0975942\pi\) | |||||||
\(954\) | −1.39271e14 | + | 1.42042e14i | −0.00570616 | + | 0.00581971i | ||||
\(955\) | 6.39383e15 | − | 6.39383e15i | 0.260461 | − | 0.260461i | ||||
\(956\) | −3.55653e16 | + | 7.00870e14i | −1.44048 | + | 0.0283870i | ||||
\(957\) | 4.41662e15 | + | 4.41662e15i | 0.177858 | + | 0.177858i | ||||
\(958\) | 1.30885e14 | + | 1.32847e16i | 0.00524058 | + | 0.531913i | ||||
\(959\) | −8.67068e15 | −0.345184 | ||||||||
\(960\) | −1.45868e16 | + | 8.63263e14i | −0.577390 | + | 0.0341705i | ||||
\(961\) | −2.01764e16 | −0.794080 | ||||||||
\(962\) | −3.43247e13 | − | 3.48392e15i | −0.00134321 | − | 0.136334i | ||||
\(963\) | −4.85668e13 | − | 4.85668e13i | −0.00188971 | − | 0.00188971i | ||||
\(964\) | 3.09454e16 | − | 6.09828e14i | 1.19722 | − | 0.0235930i | ||||
\(965\) | −4.14783e14 | + | 4.14783e14i | −0.0159559 | + | 0.0159559i | ||||
\(966\) | 4.32344e15 | − | 4.40948e15i | 0.165369 | − | 0.168660i | ||||
\(967\) | 5.90633e15i | 0.224632i | 0.993673 | + | 0.112316i | \(0.0358270\pi\) | ||||
−0.993673 | + | 0.112316i | \(0.964173\pi\) | |||||||
\(968\) | −2.51082e16 | + | 7.42315e14i | −0.949514 | + | 0.0280720i | ||||
\(969\) | − | 8.90726e15i | − | 0.334937i | ||||||
\(970\) | −9.64893e14 | − | 9.46066e14i | −0.0360774 | − | 0.0353734i | ||||
\(971\) | 4.00686e15 | − | 4.00686e15i | 0.148970 | − | 0.148970i | −0.628688 | − | 0.777658i | \(-0.716408\pi\) |
0.777658 | + | 0.628688i | \(0.216408\pi\) | |||||||
\(972\) | −2.73486e14 | − | 2.62915e14i | −0.0101104 | − | 0.00971966i | ||||
\(973\) | 6.50298e15 | + | 6.50298e15i | 0.239052 | + | 0.239052i | ||||
\(974\) | 1.20385e15 | − | 1.18608e13i | 0.0440047 | − | 0.000433549i | ||||
\(975\) | −7.40296e15 | −0.269079 | ||||||||
\(976\) | −3.36778e16 | − | 3.11228e16i | −1.21722 | − | 1.12488i | ||||
\(977\) | 3.72683e16 | 1.33943 | 0.669714 | − | 0.742619i | \(-0.266417\pi\) | ||||
0.669714 | + | 0.742619i | \(0.266417\pi\) | |||||||
\(978\) | −7.35548e15 | + | 7.24686e13i | −0.262874 | + | 0.00258992i | ||||
\(979\) | 9.05447e14 | + | 9.05447e14i | 0.0321779 | + | 0.0321779i | ||||
\(980\) | 1.09786e16 | − | 1.14201e16i | 0.387977 | − | 0.403575i | ||||
\(981\) | −1.89887e14 | + | 1.89887e14i | −0.00667292 | + | 0.00667292i | ||||
\(982\) | 3.95751e16 | + | 3.88029e16i | 1.38296 | + | 1.35597i | ||||
\(983\) | 4.32496e16i | 1.50293i | 0.659776 | + | 0.751463i | \(0.270651\pi\) | ||||
−0.659776 | + | 0.751463i | \(0.729349\pi\) | |||||||
\(984\) | 3.20500e16 | + | 3.02093e16i | 1.10753 | + | 1.04392i | ||||
\(985\) | 1.30487e16i | 0.448403i | ||||||||
\(986\) | −6.18017e15 | + | 6.30316e15i | −0.211192 | + | 0.215395i | ||||
\(987\) | 3.31690e15 | − | 3.31690e15i | 0.112717 | − | 0.112717i | ||||
\(988\) | 2.98420e14 | + | 1.51432e16i | 0.0100847 | + | 0.511746i | ||||
\(989\) | −4.09897e16 | − | 4.09897e16i | −1.37751 | − | 1.37751i | ||||
\(990\) | −2.68492e11 | − | 2.72517e13i | −8.97301e−6 | − | 0.000910751i | ||||
\(991\) | 3.69777e16 | 1.22895 | 0.614476 | − | 0.788936i | \(-0.289368\pi\) | ||||
0.614476 | + | 0.788936i | \(0.289368\pi\) | |||||||
\(992\) | 6.76055e14 | + | 1.37131e16i | 0.0223444 | + | 0.453233i | ||||
\(993\) | 5.27972e16 | 1.73536 | ||||||||
\(994\) | 6.62112e13 | + | 6.72036e15i | 0.00216424 | + | 0.219668i | ||||
\(995\) | 1.09084e16 | + | 1.09084e16i | 0.354595 | + | 0.354595i | ||||
\(996\) | 1.37173e14 | + | 6.96078e15i | 0.00443448 | + | 0.225025i | ||||
\(997\) | 3.76589e16 | − | 3.76589e16i | 1.21072 | − | 1.21072i | 0.239932 | − | 0.970790i | \(-0.422875\pi\) |
0.970790 | − | 0.239932i | \(-0.0771253\pi\) | |||||||
\(998\) | 2.62651e16 | − | 2.67878e16i | 0.839771 | − | 0.856483i | ||||
\(999\) | − | 1.05659e16i | − | 0.335968i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 16.12.e.a.13.12 | yes | 42 | |
4.3 | odd | 2 | 64.12.e.a.17.17 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.33.5 | 42 | |||
8.5 | even | 2 | 128.12.e.b.33.17 | 42 | |||
16.3 | odd | 4 | 128.12.e.a.97.5 | 42 | |||
16.5 | even | 4 | inner | 16.12.e.a.5.12 | ✓ | 42 | |
16.11 | odd | 4 | 64.12.e.a.49.17 | 42 | |||
16.13 | even | 4 | 128.12.e.b.97.17 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.12 | ✓ | 42 | 16.5 | even | 4 | inner | |
16.12.e.a.13.12 | yes | 42 | 1.1 | even | 1 | trivial | |
64.12.e.a.17.17 | 42 | 4.3 | odd | 2 | |||
64.12.e.a.49.17 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.33.5 | 42 | 8.3 | odd | 2 | |||
128.12.e.a.97.5 | 42 | 16.3 | odd | 4 | |||
128.12.e.b.33.17 | 42 | 8.5 | even | 2 | |||
128.12.e.b.97.17 | 42 | 16.13 | even | 4 |