Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,10,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (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: | \(6.18043003397\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 43 x^{14} - 1652 x^{12} - 2031680 x^{10} + 40456192 x^{8} - 33287045120 x^{6} + \cdots + 72\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{68}\cdot 3^{24} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Root | \(4.36842 + 10.4363i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.10.b.a.11.5 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.73683 | + | 20.8727i | −0.386117 | + | 0.922450i | ||||
\(3\) | 132.615 | − | 45.7844i | 0.945252 | − | 0.326341i | ||||
\(4\) | −359.336 | − | 364.722i | −0.701827 | − | 0.712347i | ||||
\(5\) | − | 1832.33i | − | 1.31111i | −0.755149 | − | 0.655553i | \(-0.772436\pi\) | ||
0.755149 | − | 0.655553i | \(-0.227564\pi\) | |||||||
\(6\) | −202.995 | + | 3168.04i | −0.0639448 | + | 0.997953i | ||||
\(7\) | − | 1303.88i | − | 0.205257i | −0.994720 | − | 0.102628i | \(-0.967275\pi\) | ||
0.994720 | − | 0.102628i | \(-0.0327253\pi\) | |||||||
\(8\) | 10752.2 | − | 4313.78i | 0.928092 | − | 0.372351i | ||||
\(9\) | 15490.6 | − | 12143.4i | 0.787003 | − | 0.616949i | ||||
\(10\) | 38245.5 | + | 16008.7i | 1.20943 | + | 0.506240i | ||||
\(11\) | 67089.2 | 1.38161 | 0.690805 | − | 0.723041i | \(-0.257256\pi\) | ||||
0.690805 | + | 0.723041i | \(0.257256\pi\) | |||||||
\(12\) | −64351.9 | − | 31915.7i | −0.895872 | − | 0.444313i | ||||
\(13\) | −128139. | −1.24434 | −0.622168 | − | 0.782884i | \(-0.713748\pi\) | ||||
−0.622168 | + | 0.782884i | \(0.713748\pi\) | |||||||
\(14\) | 27215.5 | + | 11391.8i | 0.189339 | + | 0.0792532i | ||||
\(15\) | −83891.9 | − | 242994.i | −0.427867 | − | 1.23933i | ||||
\(16\) | −3899.91 | + | 262115.i | −0.0148770 | + | 0.999889i | ||||
\(17\) | 78730.3i | 0.228624i | 0.993445 | + | 0.114312i | \(0.0364663\pi\) | ||||
−0.993445 | + | 0.114312i | \(0.963534\pi\) | |||||||
\(18\) | 118127. | + | 429425.i | 0.265229 | + | 0.964185i | ||||
\(19\) | − | 705525.i | − | 1.24200i | −0.783811 | − | 0.620999i | \(-0.786727\pi\) | ||
0.783811 | − | 0.620999i | \(-0.213273\pi\) | |||||||
\(20\) | −668289. | + | 658420.i | −0.933962 | + | 0.920170i | ||||
\(21\) | −59697.5 | − | 172915.i | −0.0669837 | − | 0.194020i | ||||
\(22\) | −586147. | + | 1.40033e6i | −0.533463 | + | 1.27447i | ||||
\(23\) | 302728. | 0.225568 | 0.112784 | − | 0.993620i | \(-0.464023\pi\) | ||||
0.112784 | + | 0.993620i | \(0.464023\pi\) | |||||||
\(24\) | 1.22840e6 | − | 1.06435e6i | 0.755767 | − | 0.654840i | ||||
\(25\) | −1.40429e6 | −0.718998 | ||||||||
\(26\) | 1.11953e6 | − | 2.67461e6i | 0.480459 | − | 1.14784i | ||||
\(27\) | 1.49831e6 | − | 2.31963e6i | 0.542581 | − | 0.840004i | ||||
\(28\) | −475555. | + | 468532.i | −0.146214 | + | 0.144055i | ||||
\(29\) | − | 171214.i | − | 0.0449521i | −0.999747 | − | 0.0224760i | \(-0.992845\pi\) | ||
0.999747 | − | 0.0224760i | \(-0.00715494\pi\) | |||||||
\(30\) | 5.80488e6 | + | 371953.i | 1.30842 | + | 0.0838383i | ||||
\(31\) | 8.57707e6i | 1.66806i | 0.551720 | + | 0.834029i | \(0.313972\pi\) | ||||
−0.551720 | + | 0.834029i | \(0.686028\pi\) | |||||||
\(32\) | −5.43696e6 | − | 2.37146e6i | −0.916603 | − | 0.399798i | ||||
\(33\) | 8.89705e6 | − | 3.07164e6i | 1.30597 | − | 0.450876i | ||||
\(34\) | −1.64331e6 | − | 687853.i | −0.210894 | − | 0.0882756i | ||||
\(35\) | −2.38914e6 | −0.269113 | ||||||||
\(36\) | −9.99528e6 | − | 1.28619e6i | −0.991822 | − | 0.127628i | ||||
\(37\) | −2.65453e6 | −0.232852 | −0.116426 | − | 0.993199i | \(-0.537144\pi\) | ||||
−0.116426 | + | 0.993199i | \(0.537144\pi\) | |||||||
\(38\) | 1.47262e7 | + | 6.16405e6i | 1.14568 | + | 0.479557i | ||||
\(39\) | −1.69932e7 | + | 5.86678e6i | −1.17621 | + | 0.406078i | ||||
\(40\) | −7.90424e6 | − | 1.97015e7i | −0.488191 | − | 1.21683i | ||||
\(41\) | 3.10365e7i | 1.71532i | 0.514217 | + | 0.857660i | \(0.328083\pi\) | ||||
−0.514217 | + | 0.857660i | \(0.671917\pi\) | |||||||
\(42\) | 4.13076e6 | + | 264682.i | 0.204837 | + | 0.0131251i | ||||
\(43\) | 5.87204e6i | 0.261928i | 0.991387 | + | 0.130964i | \(0.0418072\pi\) | ||||
−0.991387 | + | 0.130964i | \(0.958193\pi\) | |||||||
\(44\) | −2.41075e7 | − | 2.44689e7i | −0.969652 | − | 0.984186i | ||||
\(45\) | −2.22507e7 | − | 2.83838e7i | −0.808885 | − | 1.03184i | ||||
\(46\) | −2.64489e6 | + | 6.31874e6i | −0.0870957 | + | 0.208075i | ||||
\(47\) | 3.06902e7 | 0.917400 | 0.458700 | − | 0.888591i | \(-0.348315\pi\) | ||||
0.458700 | + | 0.888591i | \(0.348315\pi\) | |||||||
\(48\) | 1.14836e7 | + | 3.49390e7i | 0.312242 | + | 0.950002i | ||||
\(49\) | 3.86535e7 | 0.957870 | ||||||||
\(50\) | 1.22691e7 | − | 2.93113e7i | 0.277617 | − | 0.663239i | ||||
\(51\) | 3.60462e6 | + | 1.04408e7i | 0.0746094 | + | 0.216107i | ||||
\(52\) | 4.60450e7 | + | 4.67352e7i | 0.873309 | + | 0.886399i | ||||
\(53\) | − | 66067.2i | − | 0.00115012i | −1.00000 | 0.000575062i | \(-0.999817\pi\) | |||
1.00000 | 0.000575062i | \(-0.000183048\pi\) | ||||||||
\(54\) | 3.53263e7 | + | 5.15399e7i | 0.565362 | + | 0.824843i | ||||
\(55\) | − | 1.22929e8i | − | 1.81144i | ||||||
\(56\) | −5.62466e6 | − | 1.40196e7i | −0.0764276 | − | 0.190497i | ||||
\(57\) | −3.23020e7 | − | 9.35633e7i | −0.405315 | − | 1.17400i | ||||
\(58\) | 3.57370e6 | + | 1.49587e6i | 0.0414660 | + | 0.0173568i | ||||
\(59\) | 3.52011e7 | 0.378200 | 0.189100 | − | 0.981958i | \(-0.439443\pi\) | ||||
0.189100 | + | 0.981958i | \(0.439443\pi\) | |||||||
\(60\) | −5.84799e7 | + | 1.17914e8i | −0.582541 | + | 1.17458i | ||||
\(61\) | −8.17944e7 | −0.756379 | −0.378189 | − | 0.925728i | \(-0.623453\pi\) | ||||
−0.378189 | + | 0.925728i | \(0.623453\pi\) | |||||||
\(62\) | −1.79026e8 | − | 7.49364e7i | −1.53870 | − | 0.644066i | ||||
\(63\) | −1.58336e7 | − | 2.01979e7i | −0.126633 | − | 0.161538i | ||||
\(64\) | 9.70004e7 | − | 9.27649e7i | 0.722709 | − | 0.691152i | ||||
\(65\) | 2.34793e8i | 1.63146i | ||||||||
\(66\) | −1.36188e7 | + | 2.12541e8i | −0.0883468 | + | 1.37878i | ||||
\(67\) | 4.25083e7i | 0.257713i | 0.991663 | + | 0.128857i | \(0.0411307\pi\) | ||||
−0.991663 | + | 0.128857i | \(0.958869\pi\) | |||||||
\(68\) | 2.87146e7 | − | 2.82906e7i | 0.162860 | − | 0.160455i | ||||
\(69\) | 4.01464e7 | − | 1.38602e7i | 0.213219 | − | 0.0736121i | ||||
\(70\) | 2.08735e7 | − | 4.98677e7i | 0.103909 | − | 0.248244i | ||||
\(71\) | −7.59092e7 | −0.354513 | −0.177256 | − | 0.984165i | \(-0.556722\pi\) | ||||
−0.177256 | + | 0.984165i | \(0.556722\pi\) | |||||||
\(72\) | 1.14173e8 | − | 1.97391e8i | 0.500690 | − | 0.865627i | ||||
\(73\) | 1.16232e8 | 0.479041 | 0.239521 | − | 0.970891i | \(-0.423010\pi\) | ||||
0.239521 | + | 0.970891i | \(0.423010\pi\) | |||||||
\(74\) | 2.31922e7 | − | 5.54072e7i | 0.0899083 | − | 0.214795i | ||||
\(75\) | −1.86231e8 | + | 6.42946e7i | −0.679634 | + | 0.234638i | ||||
\(76\) | −2.57320e8 | + | 2.53520e8i | −0.884734 | + | 0.871669i | ||||
\(77\) | − | 8.74766e7i | − | 0.283585i | ||||||
\(78\) | 2.60117e7 | − | 4.05951e8i | 0.0795687 | − | 1.24179i | ||||
\(79\) | 4.69472e8i | 1.35609i | 0.735022 | + | 0.678043i | \(0.237172\pi\) | ||||
−0.735022 | + | 0.678043i | \(0.762828\pi\) | |||||||
\(80\) | 4.80280e8 | + | 7.14591e6i | 1.31096 | + | 0.0195053i | ||||
\(81\) | 9.24958e7 | − | 3.76217e8i | 0.238748 | − | 0.971082i | ||||
\(82\) | −6.47814e8 | − | 2.71161e8i | −1.58230 | − | 0.662314i | ||||
\(83\) | 4.67905e8 | 1.08220 | 0.541099 | − | 0.840959i | \(-0.318008\pi\) | ||||
0.541099 | + | 0.840959i | \(0.318008\pi\) | |||||||
\(84\) | −4.16144e7 | + | 8.39074e7i | −0.0911982 | + | 0.183884i | ||||
\(85\) | 1.44260e8 | 0.299750 | ||||||||
\(86\) | −1.22565e8 | − | 5.13031e7i | −0.241615 | − | 0.101135i | ||||
\(87\) | −7.83895e6 | − | 2.27056e7i | −0.0146697 | − | 0.0424910i | ||||
\(88\) | 7.21354e8 | − | 2.89408e8i | 1.28226 | − | 0.514444i | ||||
\(89\) | 3.29105e7i | 0.0556005i | 0.999613 | + | 0.0278003i | \(0.00885024\pi\) | ||||
−0.999613 | + | 0.0278003i | \(0.991150\pi\) | |||||||
\(90\) | 7.86846e8 | − | 2.16446e8i | 1.26415 | − | 0.347743i | ||||
\(91\) | 1.67079e8i | 0.255408i | ||||||||
\(92\) | −1.08781e8 | − | 1.10412e8i | −0.158310 | − | 0.160683i | ||||
\(93\) | 3.92696e8 | + | 1.13745e9i | 0.544356 | + | 1.57674i | ||||
\(94\) | −2.68135e8 | + | 6.40585e8i | −0.354224 | + | 0.846255i | ||||
\(95\) | −1.29275e9 | −1.62839 | ||||||||
\(96\) | −8.29600e8 | − | 6.55632e7i | −0.996892 | − | 0.0787842i | ||||
\(97\) | −1.39383e9 | −1.59859 | −0.799296 | − | 0.600938i | \(-0.794794\pi\) | ||||
−0.799296 | + | 0.600938i | \(0.794794\pi\) | |||||||
\(98\) | −3.37709e8 | + | 8.06801e8i | −0.369850 | + | 0.883587i | ||||
\(99\) | 1.03925e9 | − | 8.14692e8i | 1.08733 | − | 0.852383i | ||||
\(100\) | 5.04612e8 | + | 5.12176e8i | 0.504612 | + | 0.512176i | ||||
\(101\) | − | 1.04432e9i | − | 0.998589i | −0.866432 | − | 0.499294i | \(-0.833593\pi\) | ||
0.866432 | − | 0.499294i | \(-0.166407\pi\) | |||||||
\(102\) | −2.49421e8 | − | 1.59819e7i | −0.228156 | − | 0.0146193i | ||||
\(103\) | − | 1.46690e9i | − | 1.28420i | −0.766620 | − | 0.642101i | \(-0.778063\pi\) | ||
0.766620 | − | 0.642101i | \(-0.221937\pi\) | |||||||
\(104\) | −1.37778e9 | + | 5.52764e8i | −1.15486 | + | 0.463330i | ||||
\(105\) | −3.16836e8 | + | 1.09385e8i | −0.254380 | + | 0.0878228i | ||||
\(106\) | 1.37900e6 | + | 577218.i | 0.00106093 | + | 0.000444082i | ||||
\(107\) | 6.47578e8 | 0.477601 | 0.238800 | − | 0.971069i | \(-0.423246\pi\) | ||||
0.238800 | + | 0.971069i | \(0.423246\pi\) | |||||||
\(108\) | −1.38441e9 | + | 2.87059e8i | −0.979172 | + | 0.203032i | ||||
\(109\) | 1.23602e9 | 0.838697 | 0.419349 | − | 0.907825i | \(-0.362259\pi\) | ||||
0.419349 | + | 0.907825i | \(0.362259\pi\) | |||||||
\(110\) | 2.56586e9 | + | 1.07401e9i | 1.67096 | + | 0.699427i | ||||
\(111\) | −3.52032e8 | + | 1.21536e8i | −0.220104 | + | 0.0759893i | ||||
\(112\) | 3.41768e8 | + | 5.08504e6i | 0.205234 | + | 0.00305361i | ||||
\(113\) | − | 1.42157e9i | − | 0.820194i | −0.912042 | − | 0.410097i | \(-0.865495\pi\) | ||
0.912042 | − | 0.410097i | \(-0.134505\pi\) | |||||||
\(114\) | 2.23513e9 | + | 1.43218e8i | 1.23946 | + | 0.0794193i | ||||
\(115\) | − | 5.54697e8i | − | 0.295744i | ||||||
\(116\) | −6.24456e7 | + | 6.15235e7i | −0.0320215 | + | 0.0315486i | ||||
\(117\) | −1.98495e9 | + | 1.55605e9i | −0.979296 | + | 0.767692i | ||||
\(118\) | −3.07546e8 | + | 7.34740e8i | −0.146030 | + | 0.348871i | ||||
\(119\) | 1.02655e8 | 0.0469266 | ||||||||
\(120\) | −1.95024e9 | − | 2.25082e9i | −0.858564 | − | 0.990891i | ||||
\(121\) | 2.14302e9 | 0.908848 | ||||||||
\(122\) | 7.14624e8 | − | 1.70727e9i | 0.292051 | − | 0.697721i | ||||
\(123\) | 1.42099e9 | + | 4.11591e9i | 0.559779 | + | 1.62141i | ||||
\(124\) | 3.12824e9 | − | 3.08205e9i | 1.18824 | − | 1.17069i | ||||
\(125\) | − | 1.00564e9i | − | 0.368424i | ||||||
\(126\) | 5.59920e8 | − | 1.54023e8i | 0.197906 | − | 0.0544401i | ||||
\(127\) | 1.50003e8i | 0.0511663i | 0.999673 | + | 0.0255831i | \(0.00814425\pi\) | ||||
−0.999673 | + | 0.0255831i | \(0.991856\pi\) | |||||||
\(128\) | 1.08877e9 | + | 2.83513e9i | 0.358503 | + | 0.933529i | ||||
\(129\) | 2.68848e8 | + | 7.78722e8i | 0.0854777 | + | 0.247588i | ||||
\(130\) | −4.90076e9 | − | 2.05135e9i | −1.50494 | − | 0.629933i | ||||
\(131\) | 7.07763e7 | 0.0209975 | 0.0104987 | − | 0.999945i | \(-0.496658\pi\) | ||||
0.0104987 | + | 0.999945i | \(0.496658\pi\) | |||||||
\(132\) | −4.31732e9 | − | 2.14120e9i | −1.23775 | − | 0.613867i | ||||
\(133\) | −9.19923e8 | −0.254929 | ||||||||
\(134\) | −8.87261e8 | − | 3.71388e8i | −0.237728 | − | 0.0995075i | ||||
\(135\) | −4.25031e9 | − | 2.74539e9i | −1.10133 | − | 0.711380i | ||||
\(136\) | 3.39625e8 | + | 8.46521e8i | 0.0851284 | + | 0.212184i | ||||
\(137\) | 2.80158e9i | 0.679455i | 0.940524 | + | 0.339728i | \(0.110335\pi\) | ||||
−0.940524 | + | 0.339728i | \(0.889665\pi\) | |||||||
\(138\) | −6.14524e7 | + | 9.59056e8i | −0.0144239 | + | 0.225106i | ||||
\(139\) | 6.68332e9i | 1.51854i | 0.650777 | + | 0.759269i | \(0.274443\pi\) | ||||
−0.650777 | + | 0.759269i | \(0.725557\pi\) | |||||||
\(140\) | 8.58503e8 | + | 8.71371e8i | 0.188871 | + | 0.191702i | ||||
\(141\) | 4.06998e9 | − | 1.40513e9i | 0.867174 | − | 0.299385i | ||||
\(142\) | 6.63206e8 | − | 1.58443e9i | 0.136883 | − | 0.327020i | ||||
\(143\) | −8.59677e9 | −1.71919 | ||||||||
\(144\) | 3.12256e9 | + | 4.10767e9i | 0.605173 | + | 0.796094i | ||||
\(145\) | −3.13721e8 | −0.0589369 | ||||||||
\(146\) | −1.01550e9 | + | 2.42607e9i | −0.184966 | + | 0.441891i | ||||
\(147\) | 5.12604e9 | − | 1.76973e9i | 0.905428 | − | 0.312592i | ||||
\(148\) | 9.53869e8 | + | 9.68166e8i | 0.163422 | + | 0.165872i | ||||
\(149\) | 3.17930e8i | 0.0528437i | 0.999651 | + | 0.0264218i | \(0.00841131\pi\) | ||||
−0.999651 | + | 0.0264218i | \(0.991589\pi\) | |||||||
\(150\) | 2.85064e8 | − | 4.44886e9i | 0.0459761 | − | 0.717526i | ||||
\(151\) | − | 3.20370e9i | − | 0.501482i | −0.968054 | − | 0.250741i | \(-0.919326\pi\) | ||
0.968054 | − | 0.250741i | \(-0.0806742\pi\) | |||||||
\(152\) | −3.04348e9 | − | 7.58592e9i | −0.462460 | − | 1.15269i | ||||
\(153\) | 9.56054e8 | + | 1.21958e9i | 0.141049 | + | 0.179928i | ||||
\(154\) | 1.82587e9 | + | 7.64268e8i | 0.261593 | + | 0.109497i | ||||
\(155\) | 1.57160e10 | 2.18700 | ||||||||
\(156\) | 8.24601e9 | + | 4.08966e9i | 1.11477 | + | 0.552874i | ||||
\(157\) | −8.89906e9 | −1.16895 | −0.584475 | − | 0.811412i | \(-0.698699\pi\) | ||||
−0.584475 | + | 0.811412i | \(0.698699\pi\) | |||||||
\(158\) | −9.79912e9 | − | 4.10169e9i | −1.25092 | − | 0.523608i | ||||
\(159\) | −3.02485e6 | − | 8.76152e6i | −0.000375332 | − | 0.00108716i | ||||
\(160\) | −4.34528e9 | + | 9.96229e9i | −0.524177 | + | 1.20176i | ||||
\(161\) | − | 3.94723e8i | − | 0.0462994i | ||||||
\(162\) | 7.04453e9 | + | 5.21758e9i | 0.803589 | + | 0.595184i | ||||
\(163\) | − | 7.22072e9i | − | 0.801192i | −0.916255 | − | 0.400596i | \(-0.868803\pi\) | ||
0.916255 | − | 0.400596i | \(-0.131197\pi\) | |||||||
\(164\) | 1.13197e10 | − | 1.11525e10i | 1.22190 | − | 1.20386i | ||||
\(165\) | −5.62824e9 | − | 1.63023e10i | −0.591146 | − | 1.71227i | ||||
\(166\) | −4.08801e9 | + | 9.76643e9i | −0.417855 | + | 0.998273i | ||||
\(167\) | −4.15539e9 | −0.413417 | −0.206708 | − | 0.978403i | \(-0.566275\pi\) | ||||
−0.206708 | + | 0.978403i | \(0.566275\pi\) | |||||||
\(168\) | −1.38779e9 | − | 1.60169e9i | −0.134410 | − | 0.155127i | ||||
\(169\) | 5.81520e9 | 0.548371 | ||||||||
\(170\) | −1.26037e9 | + | 3.01108e9i | −0.115739 | + | 0.276504i | ||||
\(171\) | −8.56748e9 | − | 1.09290e10i | −0.766250 | − | 0.977457i | ||||
\(172\) | 2.14166e9 | − | 2.11003e9i | 0.186583 | − | 0.183828i | ||||
\(173\) | 1.53321e10i | 1.30135i | 0.759355 | + | 0.650677i | \(0.225515\pi\) | ||||
−0.759355 | + | 0.650677i | \(0.774485\pi\) | |||||||
\(174\) | 5.42415e8 | + | 3.47557e7i | 0.0448601 | + | 0.00287445i | ||||
\(175\) | 1.83103e9i | 0.147579i | ||||||||
\(176\) | −2.61642e8 | + | 1.75851e10i | −0.0205542 | + | 1.38146i | ||||
\(177\) | 4.66820e9 | − | 1.61166e9i | 0.357495 | − | 0.123422i | ||||
\(178\) | −6.86929e8 | − | 2.87533e8i | −0.0512887 | − | 0.0214683i | ||||
\(179\) | 1.46369e10 | 1.06564 | 0.532819 | − | 0.846229i | \(-0.321133\pi\) | ||||
0.532819 | + | 0.846229i | \(0.321133\pi\) | |||||||
\(180\) | −2.35673e9 | + | 1.83146e10i | −0.167333 | + | 1.30038i | ||||
\(181\) | 6.15663e9 | 0.426373 | 0.213186 | − | 0.977012i | \(-0.431616\pi\) | ||||
0.213186 | + | 0.977012i | \(0.431616\pi\) | |||||||
\(182\) | −3.48738e9 | − | 1.45974e9i | −0.235602 | − | 0.0986176i | ||||
\(183\) | −1.08472e10 | + | 3.74490e9i | −0.714968 | + | 0.246837i | ||||
\(184\) | 3.25498e9 | − | 1.30590e9i | 0.209348 | − | 0.0839905i | ||||
\(185\) | 4.86397e9i | 0.305294i | ||||||||
\(186\) | −2.71725e10 | − | 1.74110e9i | −1.66464 | − | 0.106664i | ||||
\(187\) | 5.28195e9i | 0.315869i | ||||||||
\(188\) | −1.10281e10 | − | 1.11934e10i | −0.643856 | − | 0.653507i | ||||
\(189\) | −3.02452e9 | − | 1.95362e9i | −0.172417 | − | 0.111368i | ||||
\(190\) | 1.12946e10 | − | 2.69832e10i | 0.628750 | − | 1.50211i | ||||
\(191\) | −1.97925e10 | −1.07610 | −0.538049 | − | 0.842914i | \(-0.680838\pi\) | ||||
−0.538049 | + | 0.842914i | \(0.680838\pi\) | |||||||
\(192\) | 8.61655e9 | − | 1.67431e10i | 0.457591 | − | 0.889163i | ||||
\(193\) | −2.53398e10 | −1.31461 | −0.657303 | − | 0.753627i | \(-0.728303\pi\) | ||||
−0.657303 | + | 0.753627i | \(0.728303\pi\) | |||||||
\(194\) | 1.21777e10 | − | 2.90930e10i | 0.617243 | − | 1.47462i | ||||
\(195\) | 1.07499e10 | + | 3.11371e10i | 0.532411 | + | 1.54214i | ||||
\(196\) | −1.38896e10 | − | 1.40978e10i | −0.672259 | − | 0.682336i | ||||
\(197\) | 1.40527e10i | 0.664754i | 0.943147 | + | 0.332377i | \(0.107851\pi\) | ||||
−0.943147 | + | 0.332377i | \(0.892149\pi\) | |||||||
\(198\) | 7.92502e9 | + | 2.88098e10i | 0.366444 | + | 1.33213i | ||||
\(199\) | − | 4.84789e9i | − | 0.219136i | −0.993979 | − | 0.109568i | \(-0.965053\pi\) | ||
0.993979 | − | 0.109568i | \(-0.0349467\pi\) | |||||||
\(200\) | −1.50992e10 | + | 6.05780e9i | −0.667296 | + | 0.267720i | ||||
\(201\) | 1.94621e9 | + | 5.63724e9i | 0.0841024 | + | 0.243604i | ||||
\(202\) | 2.17977e10 | + | 9.12403e9i | 0.921148 | + | 0.385572i | ||||
\(203\) | −2.23244e8 | −0.00922672 | ||||||||
\(204\) | 2.51273e9 | − | 5.06644e9i | 0.101581 | − | 0.204818i | ||||
\(205\) | 5.68689e10 | 2.24897 | ||||||||
\(206\) | 3.06181e10 | + | 1.28161e10i | 1.18461 | + | 0.495852i | ||||
\(207\) | 4.68944e9 | − | 3.67615e9i | 0.177523 | − | 0.139164i | ||||
\(208\) | 4.99733e8 | − | 3.35873e10i | 0.0185120 | − | 1.24420i | ||||
\(209\) | − | 4.73331e10i | − | 1.71596i | ||||||
\(210\) | 4.84984e8 | − | 7.56890e9i | 0.0172084 | − | 0.268563i | ||||
\(211\) | 3.33861e10i | 1.15956i | 0.814772 | + | 0.579781i | \(0.196862\pi\) | ||||
−0.814772 | + | 0.579781i | \(0.803138\pi\) | |||||||
\(212\) | −2.40961e7 | + | 2.37403e7i | −0.000819287 | + | 0.000807188i | ||||
\(213\) | −1.00667e10 | + | 3.47545e9i | −0.335104 | + | 0.115692i | ||||
\(214\) | −5.65778e9 | + | 1.35167e10i | −0.184410 | + | 0.440563i | ||||
\(215\) | 1.07595e10 | 0.343415 | ||||||||
\(216\) | 6.10371e9 | − | 3.14044e10i | 0.190788 | − | 0.981631i | ||||
\(217\) | 1.11835e10 | 0.342380 | ||||||||
\(218\) | −1.07989e10 | + | 2.57990e10i | −0.323835 | + | 0.773656i | ||||
\(219\) | 1.54141e10 | − | 5.32161e9i | 0.452815 | − | 0.156331i | ||||
\(220\) | −4.48350e10 | + | 4.41729e10i | −1.29037 | + | 1.27132i | ||||
\(221\) | − | 1.00885e10i | − | 0.284485i | ||||||
\(222\) | 5.38857e8 | − | 8.40968e9i | 0.0148897 | − | 0.232376i | ||||
\(223\) | − | 4.63862e10i | − | 1.25608i | −0.778181 | − | 0.628040i | \(-0.783858\pi\) | ||
0.778181 | − | 0.628040i | \(-0.216142\pi\) | |||||||
\(224\) | −3.09210e9 | + | 7.08917e9i | −0.0820612 | + | 0.188139i | ||||
\(225\) | −2.17533e10 | + | 1.70529e10i | −0.565853 | + | 0.443585i | ||||
\(226\) | 2.96720e10 | + | 1.24201e10i | 0.756588 | + | 0.316691i | ||||
\(227\) | −4.75860e10 | −1.18950 | −0.594748 | − | 0.803912i | \(-0.702748\pi\) | ||||
−0.594748 | + | 0.803912i | \(0.702748\pi\) | |||||||
\(228\) | −2.25173e10 | + | 4.54019e10i | −0.551836 | + | 1.11267i | ||||
\(229\) | −6.49841e10 | −1.56152 | −0.780760 | − | 0.624831i | \(-0.785168\pi\) | ||||
−0.780760 | + | 0.624831i | \(0.785168\pi\) | |||||||
\(230\) | 1.15780e10 | + | 4.84629e9i | 0.272809 | + | 0.114192i | ||||
\(231\) | −4.00506e9 | − | 1.16007e10i | −0.0925455 | − | 0.268059i | ||||
\(232\) | −7.38581e8 | − | 1.84093e9i | −0.0167379 | − | 0.0417196i | ||||
\(233\) | 2.97575e10i | 0.661448i | 0.943728 | + | 0.330724i | \(0.107293\pi\) | ||||
−0.943728 | + | 0.330724i | \(0.892707\pi\) | |||||||
\(234\) | −1.51367e10 | − | 5.50262e10i | −0.330034 | − | 1.19977i | ||||
\(235\) | − | 5.62344e10i | − | 1.20281i | ||||||
\(236\) | −1.26490e10 | − | 1.28386e10i | −0.265431 | − | 0.269410i | ||||
\(237\) | 2.14945e10 | + | 6.22591e10i | 0.442547 | + | 1.28184i | ||||
\(238\) | −8.96881e8 | + | 2.14269e9i | −0.0181192 | + | 0.0432875i | ||||
\(239\) | 4.88849e10 | 0.969135 | 0.484568 | − | 0.874754i | \(-0.338977\pi\) | ||||
0.484568 | + | 0.874754i | \(0.338977\pi\) | |||||||
\(240\) | 6.40196e10 | − | 2.10417e10i | 1.24555 | − | 0.409383i | ||||
\(241\) | −4.16634e10 | −0.795570 | −0.397785 | − | 0.917479i | \(-0.630221\pi\) | ||||
−0.397785 | + | 0.917479i | \(0.630221\pi\) | |||||||
\(242\) | −1.87232e10 | + | 4.47304e10i | −0.350922 | + | 0.838367i | ||||
\(243\) | −4.95851e9 | − | 5.41269e10i | −0.0912269 | − | 0.995830i | ||||
\(244\) | 2.93916e10 | + | 2.98322e10i | 0.530847 | + | 0.538804i | ||||
\(245\) | − | 7.08258e10i | − | 1.25587i | ||||||
\(246\) | −9.83249e10 | − | 6.30025e9i | −1.71181 | − | 0.109686i | ||||
\(247\) | 9.04055e10i | 1.54546i | ||||||||
\(248\) | 3.69995e10 | + | 9.22221e10i | 0.621103 | + | 1.54811i | ||||
\(249\) | 6.20514e10 | − | 2.14228e10i | 1.02295 | − | 0.353165i | ||||
\(250\) | 2.09904e10 | + | 8.78611e9i | 0.339852 | + | 0.142255i | ||||
\(251\) | 5.36684e9 | 0.0853468 | 0.0426734 | − | 0.999089i | \(-0.486413\pi\) | ||||
0.0426734 | + | 0.999089i | \(0.486413\pi\) | |||||||
\(252\) | −1.67705e9 | + | 1.30327e10i | −0.0261965 | + | 0.203578i | ||||
\(253\) | 2.03098e10 | 0.311647 | ||||||||
\(254\) | −3.13097e9 | − | 1.31055e9i | −0.0471983 | − | 0.0197562i | ||||
\(255\) | 1.91310e10 | − | 6.60483e9i | 0.283339 | − | 0.0978208i | ||||
\(256\) | −6.86891e10 | − | 2.04445e9i | −0.999557 | − | 0.0297507i | ||||
\(257\) | − | 2.63871e10i | − | 0.377305i | −0.982044 | − | 0.188652i | \(-0.939588\pi\) | ||
0.982044 | − | 0.188652i | \(-0.0604119\pi\) | |||||||
\(258\) | −1.86029e10 | − | 1.19200e9i | −0.261392 | − | 0.0167489i | ||||
\(259\) | 3.46120e9i | 0.0477946i | ||||||||
\(260\) | 8.56341e10 | − | 8.43695e10i | 1.16216 | − | 1.14500i | ||||
\(261\) | −2.07913e9 | − | 2.65221e9i | −0.0277331 | − | 0.0353774i | ||||
\(262\) | −6.18360e8 | + | 1.47729e9i | −0.00810748 | + | 0.0193691i | ||||
\(263\) | −2.48483e10 | −0.320255 | −0.160127 | − | 0.987096i | \(-0.551191\pi\) | ||||
−0.160127 | + | 0.987096i | \(0.551191\pi\) | |||||||
\(264\) | 8.24122e10 | − | 7.14066e10i | 1.04418 | − | 0.904734i | ||||
\(265\) | −1.21057e8 | −0.00150793 | ||||||||
\(266\) | 8.03721e9 | − | 1.92012e10i | 0.0984324 | − | 0.235159i | ||||
\(267\) | 1.50678e9 | + | 4.36443e9i | 0.0181447 | + | 0.0525565i | ||||
\(268\) | 1.55037e10 | − | 1.52747e10i | 0.183581 | − | 0.180870i | ||||
\(269\) | − | 4.66916e10i | − | 0.543692i | −0.962341 | − | 0.271846i | \(-0.912366\pi\) | ||
0.962341 | − | 0.271846i | \(-0.0876342\pi\) | |||||||
\(270\) | 9.44378e10 | − | 6.47293e10i | 1.08146 | − | 0.741249i | ||||
\(271\) | 5.95732e10i | 0.670948i | 0.942049 | + | 0.335474i | \(0.108897\pi\) | ||||
−0.942049 | + | 0.335474i | \(0.891103\pi\) | |||||||
\(272\) | −2.06364e10 | − | 3.07041e8i | −0.228599 | − | 0.00340124i | ||||
\(273\) | 7.64960e9 | + | 2.21572e10i | 0.0833503 | + | 0.241425i | ||||
\(274\) | −5.84765e10 | − | 2.44770e10i | −0.626763 | − | 0.262349i | ||||
\(275\) | −9.42129e10 | −0.993375 | ||||||||
\(276\) | −1.94811e10 | − | 9.66178e9i | −0.202080 | − | 0.100223i | ||||
\(277\) | 5.62370e10 | 0.573935 | 0.286968 | − | 0.957940i | \(-0.407353\pi\) | ||||
0.286968 | + | 0.957940i | \(0.407353\pi\) | |||||||
\(278\) | −1.39499e11 | − | 5.83910e10i | −1.40077 | − | 0.586333i | ||||
\(279\) | 1.04155e11 | + | 1.32864e11i | 1.02911 | + | 1.31277i | ||||
\(280\) | −2.56884e10 | + | 1.03062e10i | −0.249762 | + | 0.100205i | ||||
\(281\) | 1.29973e11i | 1.24358i | 0.783184 | + | 0.621790i | \(0.213594\pi\) | ||||
−0.783184 | + | 0.621790i | \(0.786406\pi\) | |||||||
\(282\) | −6.22995e9 | + | 9.72277e10i | −0.0586629 | + | 0.915522i | ||||
\(283\) | 3.99058e9i | 0.0369826i | 0.999829 | + | 0.0184913i | \(0.00588630\pi\) | ||||
−0.999829 | + | 0.0184913i | \(0.994114\pi\) | |||||||
\(284\) | 2.72769e10 | + | 2.76857e10i | 0.248807 | + | 0.252536i | ||||
\(285\) | −1.71439e11 | + | 5.91878e10i | −1.53924 | + | 0.531411i | ||||
\(286\) | 7.51085e10 | − | 1.79437e11i | 0.663808 | − | 1.58586i | ||||
\(287\) | 4.04680e10 | 0.352081 | ||||||||
\(288\) | −1.13019e11 | + | 2.92880e10i | −0.968024 | + | 0.250856i | ||||
\(289\) | 1.12389e11 | 0.947731 | ||||||||
\(290\) | 2.74092e9 | − | 6.54818e9i | 0.0227565 | − | 0.0543663i | ||||
\(291\) | −1.84843e11 | + | 6.38157e10i | −1.51107 | + | 0.521686i | ||||
\(292\) | −4.17663e10 | − | 4.23923e10i | −0.336204 | − | 0.341244i | ||||
\(293\) | 5.61932e10i | 0.445430i | 0.974884 | + | 0.222715i | \(0.0714919\pi\) | ||||
−0.974884 | + | 0.222715i | \(0.928508\pi\) | |||||||
\(294\) | −7.84647e9 | + | 1.22456e11i | −0.0612507 | + | 0.955909i | ||||
\(295\) | − | 6.44999e10i | − | 0.495861i | ||||||
\(296\) | −2.85420e10 | + | 1.14511e10i | −0.216108 | + | 0.0867028i | ||||
\(297\) | 1.00520e11 | − | 1.55622e11i | 0.749635 | − | 1.16056i | ||||
\(298\) | −6.63604e9 | − | 2.77770e9i | −0.0487457 | − | 0.0204039i | ||||
\(299\) | −3.87914e10 | −0.280682 | ||||||||
\(300\) | 9.03689e10 | + | 4.48190e10i | 0.644130 | + | 0.319460i | ||||
\(301\) | 7.65646e9 | 0.0537624 | ||||||||
\(302\) | 6.68696e10 | + | 2.79901e10i | 0.462592 | + | 0.193631i | ||||
\(303\) | −4.78135e10 | − | 1.38492e11i | −0.325881 | − | 0.943918i | ||||
\(304\) | 1.84929e11 | + | 2.75149e9i | 1.24186 | + | 0.0184772i | ||||
\(305\) | 1.49874e11i | 0.991692i | ||||||||
\(306\) | −3.38087e10 | + | 9.30014e9i | −0.220436 | + | 0.0606377i | ||||
\(307\) | − | 1.83860e11i | − | 1.18131i | −0.806922 | − | 0.590657i | \(-0.798868\pi\) | ||
0.806922 | − | 0.590657i | \(-0.201132\pi\) | |||||||
\(308\) | −3.19046e10 | + | 3.14334e10i | −0.202011 | + | 0.199028i | ||||
\(309\) | −6.71612e10 | − | 1.94533e11i | −0.419088 | − | 1.21389i | ||||
\(310\) | −1.37308e11 | + | 3.28034e11i | −0.844438 | + | 2.01740i | ||||
\(311\) | 3.03576e11 | 1.84012 | 0.920058 | − | 0.391782i | \(-0.128141\pi\) | ||||
0.920058 | + | 0.391782i | \(0.128141\pi\) | |||||||
\(312\) | −1.57406e11 | + | 1.36386e11i | −0.940428 | + | 0.814841i | ||||
\(313\) | −2.67815e11 | −1.57720 | −0.788598 | − | 0.614909i | \(-0.789193\pi\) | ||||
−0.788598 | + | 0.614909i | \(0.789193\pi\) | |||||||
\(314\) | 7.77496e10 | − | 1.85747e11i | 0.451351 | − | 1.07830i | ||||
\(315\) | −3.70092e10 | + | 2.90123e10i | −0.211793 | + | 0.166029i | ||||
\(316\) | 1.71227e11 | − | 1.68698e11i | 0.966004 | − | 0.951739i | ||||
\(317\) | − | 1.33818e11i | − | 0.744300i | −0.928173 | − | 0.372150i | \(-0.878621\pi\) | ||
0.928173 | − | 0.372150i | \(-0.121379\pi\) | |||||||
\(318\) | 2.09304e8 | + | 1.34113e7i | 0.00114777 | + | 7.35444e-5i | ||||
\(319\) | − | 1.14866e10i | − | 0.0621062i | ||||||
\(320\) | −1.69975e11 | − | 1.77736e11i | −0.906173 | − | 0.947548i | ||||
\(321\) | 8.58787e10 | − | 2.96490e10i | 0.451453 | − | 0.155861i | ||||
\(322\) | 8.23891e9 | + | 3.44862e9i | 0.0427089 | + | 0.0178770i | ||||
\(323\) | 5.55462e10 | 0.283951 | ||||||||
\(324\) | −1.70452e11 | + | 1.01453e11i | −0.859307 | + | 0.511460i | ||||
\(325\) | 1.79945e11 | 0.894674 | ||||||||
\(326\) | 1.50716e11 | + | 6.30862e10i | 0.739059 | + | 0.309354i | ||||
\(327\) | 1.63915e11 | − | 5.65903e10i | 0.792780 | − | 0.273701i | ||||
\(328\) | 1.33884e11 | + | 3.33709e11i | 0.638701 | + | 1.59197i | ||||
\(329\) | − | 4.00164e10i | − | 0.188303i | ||||||
\(330\) | 3.89445e11 | + | 2.49540e10i | 1.80773 | + | 0.115832i | ||||
\(331\) | 1.10121e11i | 0.504250i | 0.967695 | + | 0.252125i | \(0.0811293\pi\) | ||||
−0.967695 | + | 0.252125i | \(0.918871\pi\) | |||||||
\(332\) | −1.68135e11 | − | 1.70655e11i | −0.759516 | − | 0.770900i | ||||
\(333\) | −4.11203e10 | + | 3.22351e10i | −0.183256 | + | 0.143658i | ||||
\(334\) | 3.63050e10 | − | 8.67341e10i | 0.159627 | − | 0.381356i | ||||
\(335\) | 7.78890e10 | 0.337889 | ||||||||
\(336\) | 4.55564e10 | − | 1.49733e10i | 0.194995 | − | 0.0640899i | ||||
\(337\) | −1.93041e11 | −0.815294 | −0.407647 | − | 0.913140i | \(-0.633651\pi\) | ||||
−0.407647 | + | 0.913140i | \(0.633651\pi\) | |||||||
\(338\) | −5.08064e10 | + | 1.21379e11i | −0.211735 | + | 0.505845i | ||||
\(339\) | −6.50859e10 | − | 1.88522e11i | −0.267663 | − | 0.775290i | ||||
\(340\) | −5.18376e10 | − | 5.26146e10i | −0.210373 | − | 0.213526i | ||||
\(341\) | 5.75429e11i | 2.30461i | ||||||||
\(342\) | 3.02970e11 | − | 8.33413e10i | 1.19752 | − | 0.329414i | ||||
\(343\) | − | 1.03016e11i | − | 0.401866i | ||||||
\(344\) | 2.53307e10 | + | 6.31372e10i | 0.0975290 | + | 0.243093i | ||||
\(345\) | −2.53964e10 | − | 7.35612e10i | −0.0965133 | − | 0.279552i | ||||
\(346\) | −3.20022e11 | − | 1.33954e11i | −1.20043 | − | 0.502475i | ||||
\(347\) | −4.48226e11 | −1.65964 | −0.829821 | − | 0.558029i | \(-0.811558\pi\) | ||||
−0.829821 | + | 0.558029i | \(0.811558\pi\) | |||||||
\(348\) | −5.46443e9 | + | 1.10180e10i | −0.0199728 | + | 0.0402713i | ||||
\(349\) | 2.02958e11 | 0.732305 | 0.366153 | − | 0.930555i | \(-0.380675\pi\) | ||||
0.366153 | + | 0.930555i | \(0.380675\pi\) | |||||||
\(350\) | −3.82186e10 | − | 1.59974e10i | −0.136134 | − | 0.0569829i | ||||
\(351\) | −1.91992e11 | + | 2.97236e11i | −0.675152 | + | 1.04525i | ||||
\(352\) | −3.64762e11 | − | 1.59099e11i | −1.26639 | − | 0.552365i | ||||
\(353\) | − | 3.98396e11i | − | 1.36562i | −0.730597 | − | 0.682809i | \(-0.760758\pi\) | ||
0.730597 | − | 0.682809i | \(-0.239242\pi\) | |||||||
\(354\) | −7.14565e9 | + | 1.11519e11i | −0.0241839 | + | 0.377426i | ||||
\(355\) | 1.39090e11i | 0.464803i | ||||||||
\(356\) | 1.20032e10 | − | 1.18259e10i | 0.0396069 | − | 0.0390220i | ||||
\(357\) | 1.36136e10 | − | 4.70000e9i | 0.0443575 | − | 0.0153141i | ||||
\(358\) | −1.27880e11 | + | 3.05511e11i | −0.411461 | + | 0.982998i | ||||
\(359\) | −2.72944e10 | −0.0867260 | −0.0433630 | − | 0.999059i | \(-0.513807\pi\) | ||||
−0.0433630 | + | 0.999059i | \(0.513807\pi\) | |||||||
\(360\) | −3.61684e11 | − | 2.09203e11i | −1.13493 | − | 0.656457i | ||||
\(361\) | −1.75078e11 | −0.542561 | ||||||||
\(362\) | −5.37894e10 | + | 1.28505e11i | −0.164630 | + | 0.393307i | ||||
\(363\) | 2.84197e11 | − | 9.81167e10i | 0.859091 | − | 0.296594i | ||||
\(364\) | 6.09373e10 | − | 6.00374e10i | 0.181940 | − | 0.179253i | ||||
\(365\) | − | 2.12975e11i | − | 0.628073i | ||||||
\(366\) | 1.66039e10 | − | 2.59128e11i | 0.0483664 | − | 0.754831i | ||||
\(367\) | 4.74247e11i | 1.36461i | 0.731070 | + | 0.682303i | \(0.239021\pi\) | ||||
−0.731070 | + | 0.682303i | \(0.760979\pi\) | |||||||
\(368\) | −1.18061e9 | + | 7.93496e10i | −0.00335578 | + | 0.225543i | ||||
\(369\) | 3.76889e11 | + | 4.80773e11i | 1.05827 | + | 1.34996i | ||||
\(370\) | −1.01524e11 | − | 4.24957e10i | −0.281618 | − | 0.117879i | ||||
\(371\) | −8.61440e7 | −0.000236071 | ||||||||
\(372\) | 2.73743e11 | − | 5.51951e11i | 0.741139 | − | 1.49437i | ||||
\(373\) | 1.92852e11 | 0.515863 | 0.257931 | − | 0.966163i | \(-0.416959\pi\) | ||||
0.257931 | + | 0.966163i | \(0.416959\pi\) | |||||||
\(374\) | −1.10248e11 | − | 4.61475e10i | −0.291374 | − | 0.121963i | ||||
\(375\) | −4.60426e10 | − | 1.33363e11i | −0.120232 | − | 0.348253i | ||||
\(376\) | 3.29986e11 | − | 1.32390e11i | 0.851432 | − | 0.341595i | ||||
\(377\) | 2.19393e10i | 0.0559354i | ||||||||
\(378\) | 6.72020e10 | − | 4.60614e10i | 0.169305 | − | 0.116044i | ||||
\(379\) | 2.74043e11i | 0.682247i | 0.940018 | + | 0.341124i | \(0.110808\pi\) | ||||
−0.940018 | + | 0.341124i | \(0.889192\pi\) | |||||||
\(380\) | 4.64532e11 | + | 4.71495e11i | 1.14285 | + | 1.15998i | ||||
\(381\) | 6.86780e9 | + | 1.98927e10i | 0.0166977 | + | 0.0483650i | ||||
\(382\) | 1.72924e11 | − | 4.13123e11i | 0.415499 | − | 0.992646i | ||||
\(383\) | −2.42929e11 | −0.576880 | −0.288440 | − | 0.957498i | \(-0.593137\pi\) | ||||
−0.288440 | + | 0.957498i | \(0.593137\pi\) | |||||||
\(384\) | 2.74192e11 | + | 3.26132e11i | 0.643524 | + | 0.765426i | ||||
\(385\) | −1.60286e11 | −0.371810 | ||||||||
\(386\) | 2.21390e11 | − | 5.28909e11i | 0.507592 | − | 1.21266i | ||||
\(387\) | 7.13066e10 | + | 9.09614e10i | 0.161596 | + | 0.206138i | ||||
\(388\) | 5.00853e11 | + | 5.08361e11i | 1.12194 | + | 1.13875i | ||||
\(389\) | − | 2.01059e10i | − | 0.0445194i | −0.999752 | − | 0.0222597i | \(-0.992914\pi\) | ||
0.999752 | − | 0.0222597i | \(-0.00708608\pi\) | |||||||
\(390\) | −7.43834e11 | − | 4.76618e10i | −1.62812 | − | 0.104323i | ||||
\(391\) | 2.38339e10i | 0.0515703i | ||||||||
\(392\) | 4.15609e11 | − | 1.66742e11i | 0.888991 | − | 0.356664i | ||||
\(393\) | 9.38601e9 | − | 3.24045e9i | 0.0198479 | − | 0.00685233i | ||||
\(394\) | −2.93317e11 | − | 1.22776e11i | −0.613203 | − | 0.256673i | ||||
\(395\) | 8.60225e11 | 1.77797 | ||||||||
\(396\) | −6.70576e11 | − | 8.62898e10i | −1.37031 | − | 0.176332i | ||||
\(397\) | −1.17213e11 | −0.236821 | −0.118410 | − | 0.992965i | \(-0.537780\pi\) | ||||
−0.118410 | + | 0.992965i | \(0.537780\pi\) | |||||||
\(398\) | 1.01188e11 | + | 4.23552e10i | 0.202142 | + | 0.0846121i | ||||
\(399\) | −1.21996e11 | + | 4.21181e10i | −0.240972 | + | 0.0831937i | ||||
\(400\) | 5.47662e9 | − | 3.68086e11i | 0.0106965 | − | 0.718918i | ||||
\(401\) | − | 6.80336e11i | − | 1.31394i | −0.753919 | − | 0.656968i | \(-0.771839\pi\) | ||
0.753919 | − | 0.656968i | \(-0.228161\pi\) | |||||||
\(402\) | −1.34668e11 | − | 8.62897e9i | −0.257186 | − | 0.0164794i | ||||
\(403\) | − | 1.09906e12i | − | 2.07562i | ||||||
\(404\) | −3.80886e11 | + | 3.75261e11i | −0.711342 | + | 0.700837i | ||||
\(405\) | −6.89352e11 | − | 1.69482e11i | −1.27319 | − | 0.313024i | ||||
\(406\) | 1.95044e9 | − | 4.65969e9i | 0.00356259 | − | 0.00851119i | ||||
\(407\) | −1.78091e11 | −0.321711 | ||||||||
\(408\) | 8.37968e10 | + | 9.67121e10i | 0.149712 | + | 0.172787i | ||||
\(409\) | −7.91215e10 | −0.139810 | −0.0699052 | − | 0.997554i | \(-0.522270\pi\) | ||||
−0.0699052 | + | 0.997554i | \(0.522270\pi\) | |||||||
\(410\) | −4.96854e11 | + | 1.18701e12i | −0.868364 | + | 2.07456i | ||||
\(411\) | 1.28269e11 | + | 3.71532e11i | 0.221734 | + | 0.642256i | ||||
\(412\) | −5.35011e11 | + | 5.27110e11i | −0.914798 | + | 0.901288i | ||||
\(413\) | − | 4.58981e10i | − | 0.0776283i | ||||||
\(414\) | 3.57603e10 | + | 1.29999e11i | 0.0598273 | + | 0.217489i | ||||
\(415\) | − | 8.57355e11i | − | 1.41888i | ||||||
\(416\) | 6.96689e11 | + | 3.03877e11i | 1.14056 | + | 0.497482i | ||||
\(417\) | 3.05991e11 | + | 8.86309e11i | 0.495561 | + | 1.43540i | ||||
\(418\) | 9.87968e11 | + | 4.13542e11i | 1.58289 | + | 0.662561i | ||||
\(419\) | −6.07739e11 | −0.963284 | −0.481642 | − | 0.876368i | \(-0.659959\pi\) | ||||
−0.481642 | + | 0.876368i | \(0.659959\pi\) | |||||||
\(420\) | 1.53746e11 | + | 7.62511e10i | 0.241091 | + | 0.119571i | ||||
\(421\) | 1.08935e12 | 1.69004 | 0.845019 | − | 0.534737i | \(-0.179589\pi\) | ||||
0.845019 | + | 0.534737i | \(0.179589\pi\) | |||||||
\(422\) | −6.96856e11 | − | 2.91688e11i | −1.06964 | − | 0.447727i | ||||
\(423\) | 4.75408e11 | − | 3.72683e11i | 0.721997 | − | 0.565989i | ||||
\(424\) | −2.84999e8 | − | 7.10366e8i | −0.000428250 | − | 0.00106742i | ||||
\(425\) | − | 1.10560e11i | − | 0.164380i | ||||||
\(426\) | 1.54092e10 | − | 2.40483e11i | 0.0226692 | − | 0.353787i | ||||
\(427\) | 1.06650e11i | 0.155252i | ||||||||
\(428\) | −2.32698e11 | − | 2.36186e11i | −0.335193 | − | 0.340218i | ||||
\(429\) | −1.14006e12 | + | 3.93598e11i | −1.62507 | + | 0.561041i | ||||
\(430\) | −9.40039e10 | + | 2.24579e11i | −0.132598 | + | 0.316783i | ||||
\(431\) | −1.10485e12 | −1.54225 | −0.771127 | − | 0.636682i | \(-0.780307\pi\) | ||||
−0.771127 | + | 0.636682i | \(0.780307\pi\) | |||||||
\(432\) | 6.02166e11 | + | 4.01775e11i | 0.831839 | + | 0.555017i | ||||
\(433\) | −5.88361e11 | −0.804357 | −0.402178 | − | 0.915561i | \(-0.631747\pi\) | ||||
−0.402178 | + | 0.915561i | \(0.631747\pi\) | |||||||
\(434\) | −9.77084e10 | + | 2.33429e11i | −0.132199 | + | 0.315829i | ||||
\(435\) | −4.16041e10 | + | 1.43635e10i | −0.0557102 | + | 0.0192335i | ||||
\(436\) | −4.44145e11 | − | 4.50802e11i | −0.588620 | − | 0.597444i | ||||
\(437\) | − | 2.13582e11i | − | 0.280155i | ||||||
\(438\) | −2.35945e10 | + | 3.68228e11i | −0.0306322 | + | 0.478061i | ||||
\(439\) | − | 3.00529e10i | − | 0.0386185i | −0.999814 | − | 0.0193093i | \(-0.993853\pi\) | ||
0.999814 | − | 0.0193093i | \(-0.00614672\pi\) | |||||||
\(440\) | −5.30289e11 | − | 1.32176e12i | −0.674491 | − | 1.68118i | ||||
\(441\) | 5.98765e11 | − | 4.69385e11i | 0.753846 | − | 0.590957i | ||||
\(442\) | 2.10573e11 | + | 8.81411e10i | 0.262423 | + | 0.109844i | ||||
\(443\) | 1.31509e12 | 1.62232 | 0.811162 | − | 0.584821i | \(-0.198835\pi\) | ||||
0.811162 | + | 0.584821i | \(0.198835\pi\) | |||||||
\(444\) | 1.70824e11 | + | 8.47213e10i | 0.208606 | + | 0.103459i | ||||
\(445\) | 6.03027e10 | 0.0728981 | ||||||||
\(446\) | 9.68203e11 | + | 4.05268e11i | 1.15867 | + | 0.484994i | ||||
\(447\) | 1.45562e10 | + | 4.21623e10i | 0.0172451 | + | 0.0499506i | ||||
\(448\) | −1.20955e11 | − | 1.26477e11i | −0.141864 | − | 0.148341i | ||||
\(449\) | 1.39402e12i | 1.61867i | 0.587345 | + | 0.809337i | \(0.300173\pi\) | ||||
−0.587345 | + | 0.809337i | \(0.699827\pi\) | |||||||
\(450\) | −1.65884e11 | − | 6.03038e11i | −0.190699 | − | 0.693247i | ||||
\(451\) | 2.08221e12i | 2.36990i | ||||||||
\(452\) | −5.18479e11 | + | 5.10822e11i | −0.584263 | + | 0.575634i | ||||
\(453\) | −1.46679e11 | − | 4.24859e11i | −0.163654 | − | 0.474026i | ||||
\(454\) | 4.15751e11 | − | 9.93247e11i | 0.459285 | − | 1.09725i | ||||
\(455\) | 3.06143e11 | 0.334867 | ||||||||
\(456\) | −7.50928e11 | − | 8.66665e11i | −0.813311 | − | 0.938662i | ||||
\(457\) | −5.38367e11 | −0.577372 | −0.288686 | − | 0.957424i | \(-0.593218\pi\) | ||||
−0.288686 | + | 0.957424i | \(0.593218\pi\) | |||||||
\(458\) | 5.67755e11 | − | 1.35639e12i | 0.602930 | − | 1.44042i | ||||
\(459\) | 1.82625e11 | + | 1.17962e11i | 0.192045 | + | 0.124047i | ||||
\(460\) | −2.02310e11 | + | 1.99322e11i | −0.210672 | + | 0.207561i | ||||
\(461\) | − | 1.43244e12i | − | 1.47714i | −0.674175 | − | 0.738571i | \(-0.735501\pi\) | ||
0.674175 | − | 0.738571i | \(-0.264499\pi\) | |||||||
\(462\) | 2.77129e11 | + | 1.77573e10i | 0.283005 | + | 0.0181338i | ||||
\(463\) | − | 1.01990e12i | − | 1.03144i | −0.856758 | − | 0.515719i | \(-0.827525\pi\) | ||
0.856758 | − | 0.515719i | \(-0.172475\pi\) | |||||||
\(464\) | 4.48779e10 | + | 6.67722e8i | 0.0449471 | + | 0.000668751i | ||||
\(465\) | 2.08418e12 | − | 7.19546e11i | 2.06727 | − | 0.713708i | ||||
\(466\) | −6.21119e11 | − | 2.59987e11i | −0.610152 | − | 0.255396i | ||||
\(467\) | 4.66634e11 | 0.453994 | 0.226997 | − | 0.973895i | \(-0.427109\pi\) | ||||
0.226997 | + | 0.973895i | \(0.427109\pi\) | |||||||
\(468\) | 1.28079e12 | + | 1.64812e11i | 1.23416 | + | 0.158812i | ||||
\(469\) | 5.54259e10 | 0.0528974 | ||||||||
\(470\) | 1.17376e12 | + | 4.91310e11i | 1.10953 | + | 0.464425i | ||||
\(471\) | −1.18015e12 | + | 4.07438e11i | −1.10495 | + | 0.381476i | ||||
\(472\) | 3.78488e11 | − | 1.51850e11i | 0.351005 | − | 0.140823i | ||||
\(473\) | 3.93951e11i | 0.361882i | ||||||||
\(474\) | −1.48731e12 | − | 9.53004e10i | −1.35331 | − | 0.0867146i | ||||
\(475\) | 9.90763e11i | 0.892994i | ||||||||
\(476\) | −3.68877e10 | − | 3.74406e10i | −0.0329344 | − | 0.0334281i | ||||
\(477\) | −8.02281e8 | − | 1.02342e9i | −0.000709568 | − | 0.000905151i | ||||
\(478\) | −4.27099e11 | + | 1.02036e12i | −0.374200 | + | 0.893979i | ||||
\(479\) | −2.14286e12 | −1.85988 | −0.929939 | − | 0.367715i | \(-0.880140\pi\) | ||||
−0.929939 | + | 0.367715i | \(0.880140\pi\) | |||||||
\(480\) | −1.20133e11 | + | 1.52010e12i | −0.103294 | + | 1.30703i | ||||
\(481\) | 3.40150e11 | 0.289746 | ||||||||
\(482\) | 3.64006e11 | − | 8.69626e11i | 0.307183 | − | 0.733873i | ||||
\(483\) | −1.80721e10 | − | 5.23462e10i | −0.0151094 | − | 0.0437646i | ||||
\(484\) | −7.70062e11 | − | 7.81605e11i | −0.637854 | − | 0.647415i | ||||
\(485\) | 2.55395e12i | 2.09592i | ||||||||
\(486\) | 1.17309e12 | + | 3.69401e11i | 0.953828 | + | 0.300355i | ||||
\(487\) | 2.14691e12i | 1.72955i | 0.502157 | + | 0.864777i | \(0.332540\pi\) | ||||
−0.502157 | + | 0.864777i | \(0.667460\pi\) | |||||||
\(488\) | −8.79467e11 | + | 3.52843e11i | −0.701989 | + | 0.281638i | ||||
\(489\) | −3.30596e11 | − | 9.57577e11i | −0.261462 | − | 0.757328i | ||||
\(490\) | 1.47832e12 | + | 6.18793e11i | 1.15848 | + | 0.484912i | ||||
\(491\) | 1.65999e12 | 1.28896 | 0.644478 | − | 0.764622i | \(-0.277075\pi\) | ||||
0.644478 | + | 0.764622i | \(0.277075\pi\) | |||||||
\(492\) | 9.90551e11 | − | 1.99726e12i | 0.762138 | − | 1.53671i | ||||
\(493\) | 1.34798e10 | 0.0102771 | ||||||||
\(494\) | −1.88700e12 | − | 7.89858e11i | −1.42561 | − | 0.596730i | ||||
\(495\) | −1.49278e12 | − | 1.90425e12i | −1.11756 | − | 1.42561i | ||||
\(496\) | −2.24818e12 | − | 3.34498e10i | −1.66787 | − | 0.0248157i | ||||
\(497\) | 9.89768e10i | 0.0727662i | ||||||||
\(498\) | −9.49825e10 | + | 1.48234e12i | −0.0692009 | + | 1.07998i | ||||
\(499\) | − | 2.16275e12i | − | 1.56154i | −0.624819 | − | 0.780770i | \(-0.714827\pi\) | ||
0.624819 | − | 0.780770i | \(-0.285173\pi\) | |||||||
\(500\) | −3.66779e11 | + | 3.61362e11i | −0.262446 | + | 0.258570i | ||||
\(501\) | −5.51068e11 | + | 1.90252e11i | −0.390783 | + | 0.134915i | ||||
\(502\) | −4.68892e10 | + | 1.12020e11i | −0.0329538 | + | 0.0787281i | ||||
\(503\) | 2.65354e12 | 1.84829 | 0.924145 | − | 0.382042i | \(-0.124779\pi\) | ||||
0.924145 | + | 0.382042i | \(0.124779\pi\) | |||||||
\(504\) | −2.57375e11 | − | 1.48869e11i | −0.177676 | − | 0.102770i | ||||
\(505\) | −1.91353e12 | −1.30926 | ||||||||
\(506\) | −1.77443e11 | + | 4.23920e11i | −0.120332 | + | 0.287479i | ||||
\(507\) | 7.71184e11 | − | 2.66245e11i | 0.518349 | − | 0.178956i | ||||
\(508\) | 5.47094e10 | − | 5.39015e10i | 0.0364482 | − | 0.0359099i | ||||
\(509\) | 3.74403e11i | 0.247235i | 0.992330 | + | 0.123617i | \(0.0394496\pi\) | ||||
−0.992330 | + | 0.123617i | \(0.960550\pi\) | |||||||
\(510\) | −2.92840e10 | + | 4.57020e11i | −0.0191674 | + | 0.299137i | ||||
\(511\) | − | 1.51553e11i | − | 0.0983265i | ||||||
\(512\) | 6.42798e11 | − | 1.41586e12i | 0.413390 | − | 0.910554i | ||||
\(513\) | −1.63655e12 | − | 1.05709e12i | −1.04328 | − | 0.673884i | ||||
\(514\) | 5.50768e11 | + | 2.30539e11i | 0.348045 | + | 0.145684i | ||||
\(515\) | −2.68784e12 | −1.68372 | ||||||||
\(516\) | 1.87410e11 | − | 3.77877e11i | 0.116378 | − | 0.234654i | ||||
\(517\) | 2.05898e12 | 1.26749 | ||||||||
\(518\) | −7.22445e10 | − | 3.02400e10i | −0.0440881 | − | 0.0184543i | ||||
\(519\) | 7.01972e11 | + | 2.03327e12i | 0.424685 | + | 1.23011i | ||||
\(520\) | 1.01284e12 | + | 2.52453e12i | 0.607474 | + | 1.51414i | ||||
\(521\) | 1.67662e12i | 0.996929i | 0.866910 | + | 0.498465i | \(0.166103\pi\) | ||||
−0.866910 | + | 0.498465i | \(0.833897\pi\) | |||||||
\(522\) | 7.35237e10 | − | 2.02250e10i | 0.0433421 | − | 0.0119226i | ||||
\(523\) | − | 3.04037e12i | − | 1.77692i | −0.458951 | − | 0.888461i | \(-0.651775\pi\) | ||
0.458951 | − | 0.888461i | \(-0.348225\pi\) | |||||||
\(524\) | −2.54324e10 | − | 2.58136e10i | −0.0147366 | − | 0.0149575i | ||||
\(525\) | 8.38328e10 | + | 2.42823e11i | 0.0481612 | + | 0.139500i | ||||
\(526\) | 2.17095e11 | − | 5.18650e11i | 0.123656 | − | 0.295419i | ||||
\(527\) | −6.75275e11 | −0.381358 | ||||||||
\(528\) | 7.70425e11 | + | 2.34403e12i | 0.431397 | + | 1.31253i | ||||
\(529\) | −1.70951e12 | −0.949119 | ||||||||
\(530\) | 1.05765e9 | − | 2.52677e9i | 0.000582239 | − | 0.00139099i | ||||
\(531\) | 5.45285e11 | − | 4.27461e11i | 0.297645 | − | 0.233330i | ||||
\(532\) | 3.30561e11 | + | 3.35516e11i | 0.178916 | + | 0.181598i | ||||
\(533\) | − | 3.97700e12i | − | 2.13443i | ||||||
\(534\) | −1.04262e11 | − | 6.68066e9i | −0.0554867 | − | 0.00355536i | ||||
\(535\) | − | 1.18657e12i | − | 0.626185i | ||||||
\(536\) | 1.83371e11 | + | 4.57056e11i | 0.0959598 | + | 0.239182i | ||||
\(537\) | 1.94107e12 | − | 6.70140e11i | 1.00730 | − | 0.347761i | ||||
\(538\) | 9.74577e11 | + | 4.07936e11i | 0.501529 | + | 0.209929i | ||||
\(539\) | 2.59323e12 | 1.32340 | ||||||||
\(540\) | 5.25985e11 | + | 2.53670e12i | 0.266196 | + | 1.28380i | ||||
\(541\) | 2.50937e12 | 1.25944 | 0.629720 | − | 0.776822i | \(-0.283170\pi\) | ||||
0.629720 | + | 0.776822i | \(0.283170\pi\) | |||||||
\(542\) | −1.24345e12 | − | 5.20481e11i | −0.618916 | − | 0.259065i | ||||
\(543\) | 8.16463e11 | − | 2.81877e11i | 0.403030 | − | 0.139143i | ||||
\(544\) | 1.86705e11 | − | 4.28054e11i | 0.0914033 | − | 0.209557i | ||||
\(545\) | − | 2.26479e12i | − | 1.09962i | ||||||
\(546\) | −5.29313e11 | − | 3.39162e10i | −0.254886 | − | 0.0163320i | ||||
\(547\) | 2.47135e12i | 1.18030i | 0.807295 | + | 0.590148i | \(0.200931\pi\) | ||||
−0.807295 | + | 0.590148i | \(0.799069\pi\) | |||||||
\(548\) | 1.02180e12 | − | 1.00671e12i | 0.484008 | − | 0.476860i | ||||
\(549\) | −1.26704e12 | + | 9.93263e11i | −0.595272 | + | 0.466647i | ||||
\(550\) | 8.23122e11 | − | 1.96647e12i | 0.383559 | − | 0.916338i | ||||
\(551\) | −1.20796e11 | −0.0558304 | ||||||||
\(552\) | 3.71871e11 | − | 3.22210e11i | 0.170477 | − | 0.147711i | ||||
\(553\) | 6.12137e11 | 0.278346 | ||||||||
\(554\) | −4.91333e11 | + | 1.17382e12i | −0.221606 | + | 0.529427i | ||||
\(555\) | 2.22694e11 | + | 6.45037e11i | 0.0996299 | + | 0.288580i | ||||
\(556\) | 2.43755e12 | − | 2.40155e12i | 1.08173 | − | 1.06575i | ||||
\(557\) | 3.78554e12i | 1.66640i | 0.552972 | + | 0.833200i | \(0.313494\pi\) | ||||
−0.552972 | + | 0.833200i | \(0.686506\pi\) | |||||||
\(558\) | −3.68320e12 | + | 1.01318e12i | −1.60832 | + | 0.442418i | ||||
\(559\) | − | 7.52440e11i | − | 0.325926i | ||||||
\(560\) | 9.31744e9 | − | 6.26229e11i | 0.00400360 | − | 0.269084i | ||||
\(561\) | 2.41831e11 | + | 7.00467e11i | 0.103081 | + | 0.298576i | ||||
\(562\) | −2.71288e12 | − | 1.13555e12i | −1.14714 | − | 0.480168i | ||||
\(563\) | −2.44811e12 | −1.02694 | −0.513468 | − | 0.858109i | \(-0.671639\pi\) | ||||
−0.513468 | + | 0.858109i | \(0.671639\pi\) | |||||||
\(564\) | −1.97497e12 | − | 9.79498e11i | −0.821873 | − | 0.407612i | ||||
\(565\) | −2.60479e12 | −1.07536 | ||||||||
\(566\) | −8.32940e10 | − | 3.48650e10i | −0.0341146 | − | 0.0142796i | ||||
\(567\) | −4.90543e11 | − | 1.20604e11i | −0.199321 | − | 0.0490046i | ||||
\(568\) | −8.16188e11 | + | 3.27455e11i | −0.329020 | + | 0.132003i | ||||
\(569\) | − | 3.08511e11i | − | 0.123386i | −0.998095 | − | 0.0616930i | \(-0.980350\pi\) | ||
0.998095 | − | 0.0616930i | \(-0.0196500\pi\) | |||||||
\(570\) | 2.62422e11 | − | 4.09549e12i | 0.104127 | − | 1.62506i | ||||
\(571\) | 2.85732e12i | 1.12485i | 0.826847 | + | 0.562427i | \(0.190132\pi\) | ||||
−0.826847 | + | 0.562427i | \(0.809868\pi\) | |||||||
\(572\) | 3.08913e12 | + | 3.13543e12i | 1.20657 | + | 1.22466i | ||||
\(573\) | −2.62479e12 | + | 9.06189e11i | −1.01718 | + | 0.351175i | ||||
\(574\) | −3.53562e11 | + | 8.44674e11i | −0.135945 | + | 0.324777i | ||||
\(575\) | −4.25119e11 | −0.162183 | ||||||||
\(576\) | 3.76111e11 | − | 2.61490e12i | 0.142369 | − | 0.989814i | ||||
\(577\) | −1.25262e12 | −0.470465 | −0.235233 | − | 0.971939i | \(-0.575585\pi\) | ||||
−0.235233 | + | 0.971939i | \(0.575585\pi\) | |||||||
\(578\) | −9.81927e11 | + | 2.34587e12i | −0.365935 | + | 0.874234i | ||||
\(579\) | −3.36044e12 | + | 1.16017e12i | −1.24263 | + | 0.429010i | ||||
\(580\) | 1.12731e11 | + | 1.14421e11i | 0.0413635 | + | 0.0419835i | ||||
\(581\) | − | 6.10094e11i | − | 0.222129i | ||||||
\(582\) | 2.82941e11 | − | 4.41572e12i | 0.102222 | − | 1.59532i | ||||
\(583\) | − | 4.43240e9i | − | 0.00158902i | ||||||
\(584\) | 1.24975e12 | − | 5.01399e11i | 0.444594 | − | 0.178371i | ||||
\(585\) | 2.85119e12 | + | 3.63708e12i | 1.00652 | + | 1.28396i | ||||
\(586\) | −1.17290e12 | − | 4.90951e11i | −0.410887 | − | 0.171988i | ||||
\(587\) | −1.21795e12 | −0.423406 | −0.211703 | − | 0.977334i | \(-0.567901\pi\) | ||||
−0.211703 | + | 0.977334i | \(0.567901\pi\) | |||||||
\(588\) | −2.48743e12 | − | 1.23365e12i | −0.858128 | − | 0.425594i | ||||
\(589\) | 6.05134e12 | 2.07173 | ||||||||
\(590\) | 1.34628e12 | + | 5.63524e11i | 0.457407 | + | 0.191460i | ||||
\(591\) | 6.43393e11 | + | 1.86360e12i | 0.216937 | + | 0.628360i | ||||
\(592\) | 1.03525e10 | − | 6.95793e11i | 0.00346414 | − | 0.232827i | ||||
\(593\) | 1.50764e11i | 0.0500670i | 0.999687 | + | 0.0250335i | \(0.00796925\pi\) | ||||
−0.999687 | + | 0.0250335i | \(0.992031\pi\) | |||||||
\(594\) | 2.37001e12 | + | 3.45777e12i | 0.781110 | + | 1.13961i | ||||
\(595\) | − | 1.88098e11i | − | 0.0615258i | ||||||
\(596\) | 1.15956e11 | − | 1.14244e11i | 0.0376431 | − | 0.0370871i | ||||
\(597\) | −2.21958e11 | − | 6.42904e11i | −0.0715131 | − | 0.207139i | ||||
\(598\) | 3.38914e11 | − | 8.09680e11i | 0.108376 | − | 0.258915i | ||||
\(599\) | 2.79246e12 | 0.886271 | 0.443136 | − | 0.896455i | \(-0.353866\pi\) | ||||
0.443136 | + | 0.896455i | \(0.353866\pi\) | |||||||
\(600\) | −1.72503e12 | + | 1.49466e12i | −0.543395 | + | 0.470828i | ||||
\(601\) | 1.18581e12 | 0.370750 | 0.185375 | − | 0.982668i | \(-0.440650\pi\) | ||||
0.185375 | + | 0.982668i | \(0.440650\pi\) | |||||||
\(602\) | −6.68932e10 | + | 1.59811e11i | −0.0207586 | + | 0.0495932i | ||||
\(603\) | 5.16195e11 | + | 6.58478e11i | 0.158996 | + | 0.202821i | ||||
\(604\) | −1.16846e12 | + | 1.15120e12i | −0.357229 | + | 0.351953i | ||||
\(605\) | − | 3.92670e12i | − | 1.19160i | ||||||
\(606\) | 3.30844e12 | + | 2.11992e11i | 0.996545 | + | 0.0638545i | ||||
\(607\) | 7.75431e11i | 0.231843i | 0.993258 | + | 0.115922i | \(0.0369821\pi\) | ||||
−0.993258 | + | 0.115922i | \(0.963018\pi\) | |||||||
\(608\) | −1.67312e12 | + | 3.83591e12i | −0.496548 | + | 1.13842i | ||||
\(609\) | −2.96055e10 | + | 1.02211e10i | −0.00872158 | + | 0.00301106i | ||||
\(610\) | −3.12827e12 | − | 1.30942e12i | −0.914786 | − | 0.382909i | ||||
\(611\) | −3.93262e12 | −1.14155 | ||||||||
\(612\) | 1.01262e11 | − | 7.86931e11i | 0.0291788 | − | 0.226754i | ||||
\(613\) | −2.37652e12 | −0.679780 | −0.339890 | − | 0.940465i | \(-0.610390\pi\) | ||||
−0.339890 | + | 0.940465i | \(0.610390\pi\) | |||||||
\(614\) | 3.83766e12 | + | 1.60636e12i | 1.08970 | + | 0.456126i | ||||
\(615\) | 7.54169e12 | − | 2.60371e12i | 2.12584 | − | 0.733930i | ||||
\(616\) | −3.77354e11 | − | 9.40563e11i | −0.105593 | − | 0.263193i | ||||
\(617\) | − | 4.81693e12i | − | 1.33810i | −0.743219 | − | 0.669048i | \(-0.766702\pi\) | ||
0.743219 | − | 0.669048i | \(-0.233298\pi\) | |||||||
\(618\) | 4.64720e12 | + | 2.97774e11i | 1.28157 | + | 0.0821180i | ||||
\(619\) | − | 3.31276e11i | − | 0.0906948i | −0.998971 | − | 0.0453474i | \(-0.985561\pi\) | ||
0.998971 | − | 0.0453474i | \(-0.0144395\pi\) | |||||||
\(620\) | −5.64731e12 | − | 5.73196e12i | −1.53490 | − | 1.55790i | ||||
\(621\) | 4.53580e11 | − | 7.02217e11i | 0.122389 | − | 0.189478i | ||||
\(622\) | −2.65229e12 | + | 6.33643e12i | −0.710500 | + | 1.69741i | ||||
\(623\) | 4.29114e10 | 0.0114124 | ||||||||
\(624\) | −1.47150e12 | − | 4.47706e12i | −0.388534 | − | 1.18212i | ||||
\(625\) | −4.58542e12 | −1.20204 | ||||||||
\(626\) | 2.33986e12 | − | 5.59002e12i | 0.608982 | − | 1.45488i | ||||
\(627\) | −2.16712e12 | − | 6.27709e12i | −0.559988 | − | 1.62201i | ||||
\(628\) | 3.19775e12 | + | 3.24568e12i | 0.820401 | + | 0.832698i | ||||
\(629\) | − | 2.08992e11i | − | 0.0532356i | ||||||
\(630\) | −2.82221e11 | − | 1.02596e12i | −0.0713768 | − | 0.259475i | ||||
\(631\) | 3.71482e12i | 0.932836i | 0.884564 | + | 0.466418i | \(0.154456\pi\) | ||||
−0.884564 | + | 0.466418i | \(0.845544\pi\) | |||||||
\(632\) | 2.02519e12 | + | 5.04784e12i | 0.504940 | + | 1.25857i | ||||
\(633\) | 1.52856e12 | + | 4.42750e12i | 0.378413 | + | 1.09608i | ||||
\(634\) | 2.79314e12 | + | 1.16915e12i | 0.686579 | + | 0.287387i | ||||
\(635\) | 2.74855e11 | 0.0670844 | ||||||||
\(636\) | −2.10858e9 | + | 4.25155e9i | −0.000511014 | + | 0.00103036i | ||||
\(637\) | −4.95303e12 | −1.19191 | ||||||||
\(638\) | 2.39757e11 | + | 1.00357e11i | 0.0572899 | + | 0.0239803i | ||||
\(639\) | −1.17588e12 | + | 9.21796e11i | −0.279003 | + | 0.218716i | ||||
\(640\) | 5.19488e12 | − | 1.99499e12i | 1.22395 | − | 0.470035i | ||||
\(641\) | 1.37939e12i | 0.322720i | 0.986896 | + | 0.161360i | \(0.0515881\pi\) | ||||
−0.986896 | + | 0.161360i | \(0.948412\pi\) | |||||||
\(642\) | −1.31455e11 | + | 2.05155e12i | −0.0305401 | + | 0.476623i | ||||
\(643\) | − | 7.02703e12i | − | 1.62115i | −0.585637 | − | 0.810573i | \(-0.699156\pi\) | ||
0.585637 | − | 0.810573i | \(-0.300844\pi\) | |||||||
\(644\) | −1.43964e11 | + | 1.41838e11i | −0.0329813 | + | 0.0324942i | ||||
\(645\) | 1.42687e12 | − | 4.92617e11i | 0.324613 | − | 0.112070i | ||||
\(646\) | −4.85298e11 | + | 1.15940e12i | −0.109638 | + | 0.261930i | ||||
\(647\) | 5.71078e12 | 1.28123 | 0.640613 | − | 0.767864i | \(-0.278680\pi\) | ||||
0.640613 | + | 0.767864i | \(0.278680\pi\) | |||||||
\(648\) | −6.28385e11 | − | 4.44415e12i | −0.140003 | − | 0.990151i | ||||
\(649\) | 2.36161e12 | 0.522526 | ||||||||
\(650\) | −1.57215e12 | + | 3.75593e12i | −0.345449 | + | 0.825292i | ||||
\(651\) | 1.48310e12 | − | 5.12030e11i | 0.323636 | − | 0.111733i | ||||
\(652\) | −2.63355e12 | + | 2.59466e12i | −0.570727 | + | 0.562298i | ||||
\(653\) | 5.18880e12i | 1.11675i | 0.829587 | + | 0.558377i | \(0.188576\pi\) | ||||
−0.829587 | + | 0.558377i | \(0.811424\pi\) | |||||||
\(654\) | −2.50905e11 | + | 3.91575e12i | −0.0536303 | + | 0.836981i | ||||
\(655\) | − | 1.29685e11i | − | 0.0275299i | ||||||
\(656\) | −8.13513e12 | − | 1.21040e11i | −1.71513 | − | 0.0255188i | ||||
\(657\) | 1.80050e12 | − | 1.41145e12i | 0.377007 | − | 0.295544i | ||||
\(658\) | 8.35249e11 | + | 3.49617e11i | 0.173700 | + | 0.0727069i | ||||
\(659\) | −1.90586e12 | −0.393646 | −0.196823 | − | 0.980439i | \(-0.563062\pi\) | ||||
−0.196823 | + | 0.980439i | \(0.563062\pi\) | |||||||
\(660\) | −3.92337e12 | + | 7.91074e12i | −0.804845 | + | 1.62282i | ||||
\(661\) | −5.07877e12 | −1.03479 | −0.517395 | − | 0.855747i | \(-0.673098\pi\) | ||||
−0.517395 | + | 0.855747i | \(0.673098\pi\) | |||||||
\(662\) | −2.29853e12 | − | 9.62112e11i | −0.465145 | − | 0.194699i | ||||
\(663\) | −4.61893e11 | − | 1.33788e12i | −0.0928391 | − | 0.268910i | ||||
\(664\) | 5.03100e12 | − | 2.01844e12i | 1.00438 | − | 0.402957i | ||||
\(665\) | 1.68560e12i | 0.334239i | ||||||||
\(666\) | −3.13571e11 | − | 1.13992e12i | −0.0617592 | − | 0.224513i | ||||
\(667\) | − | 5.18315e10i | − | 0.0101397i | ||||||
\(668\) | 1.49318e12 | + | 1.51556e12i | 0.290147 | + | 0.294496i | ||||
\(669\) | −2.12376e12 | − | 6.15152e12i | −0.409910 | − | 1.18731i | ||||
\(670\) | −6.80503e11 | + | 1.62575e12i | −0.130465 | + | 0.311686i | ||||
\(671\) | −5.48752e12 | −1.04502 | ||||||||
\(672\) | −8.54867e10 | + | 1.08170e12i | −0.0161710 | + | 0.204619i | ||||
\(673\) | 8.09293e12 | 1.52068 | 0.760340 | − | 0.649525i | \(-0.225032\pi\) | ||||
0.760340 | + | 0.649525i | \(0.225032\pi\) | |||||||
\(674\) | 1.68656e12 | − | 4.02927e12i | 0.314799 | − | 0.752068i | ||||
\(675\) | −2.10406e12 | + | 3.25743e12i | −0.390114 | + | 0.603961i | ||||
\(676\) | −2.08961e12 | − | 2.12093e12i | −0.384862 | − | 0.390631i | ||||
\(677\) | − | 1.26729e12i | − | 0.231861i | −0.993257 | − | 0.115931i | \(-0.963015\pi\) | ||
0.993257 | − | 0.115931i | \(-0.0369850\pi\) | |||||||
\(678\) | 4.50361e12 | + | 2.88573e11i | 0.818515 | + | 0.0524471i | ||||
\(679\) | 1.81739e12i | 0.328122i | ||||||||
\(680\) | 1.55110e12 | − | 6.22303e11i | 0.278196 | − | 0.111612i | ||||
\(681\) | −6.31063e12 | + | 2.17870e12i | −1.12437 | + | 0.388181i | ||||
\(682\) | −1.20107e13 | − | 5.02742e12i | −2.12588 | − | 0.889848i | ||||
\(683\) | −1.13577e12 | −0.199710 | −0.0998548 | − | 0.995002i | \(-0.531838\pi\) | ||||
−0.0998548 | + | 0.995002i | \(0.531838\pi\) | |||||||
\(684\) | −9.07442e11 | + | 7.05192e12i | −0.158514 | + | 1.23184i | ||||
\(685\) | 5.13341e12 | 0.890837 | ||||||||
\(686\) | 2.15022e12 | + | 9.00034e11i | 0.370701 | + | 0.155167i | ||||
\(687\) | −8.61788e12 | + | 2.97526e12i | −1.47603 | + | 0.509588i | ||||
\(688\) | −1.53915e12 | − | 2.29005e10i | −0.261899 | − | 0.00389669i | ||||
\(689\) | 8.46581e9i | 0.00143114i | ||||||||
\(690\) | 1.75730e12 | + | 1.12601e11i | 0.295138 | + | 0.0189113i | ||||
\(691\) | − | 6.93411e12i | − | 1.15702i | −0.815677 | − | 0.578508i | \(-0.803635\pi\) | ||
0.815677 | − | 0.578508i | \(-0.196365\pi\) | |||||||
\(692\) | 5.59196e12 | − | 5.50938e12i | 0.927015 | − | 0.913325i | ||||
\(693\) | −1.06226e12 | − | 1.35506e12i | −0.174958 | − | 0.223182i | ||||
\(694\) | 3.91608e12 | − | 9.35567e12i | 0.640816 | − | 1.53094i | ||||
\(695\) | 1.22460e13 | 1.99096 | ||||||||
\(696\) | −1.82233e11 | − | 2.10319e11i | −0.0294364 | − | 0.0339733i | ||||
\(697\) | −2.44351e12 | −0.392163 | ||||||||
\(698\) | −1.77321e12 | + | 4.23628e12i | −0.282756 | + | 0.675515i | ||||
\(699\) | 1.36243e12 | + | 3.94630e12i | 0.215858 | + | 0.625235i | ||||
\(700\) | 6.67818e11 | − | 6.57956e11i | 0.105128 | − | 0.103575i | ||||
\(701\) | 8.24498e12i | 1.28961i | 0.764347 | + | 0.644805i | \(0.223062\pi\) | ||||
−0.764347 | + | 0.644805i | \(0.776938\pi\) | |||||||
\(702\) | −4.52669e12 | − | 6.60429e12i | −0.703500 | − | 1.02638i | ||||
\(703\) | 1.87284e12i | 0.289202i | ||||||||
\(704\) | 6.50768e12 | − | 6.22352e12i | 0.998503 | − | 0.954903i | ||||
\(705\) | −2.57465e12 | − | 7.45753e12i | −0.392526 | − | 1.13696i | ||||
\(706\) | 8.31559e12 | + | 3.48072e12i | 1.25971 | + | 0.527288i | ||||
\(707\) | −1.36167e12 | −0.204967 | ||||||||
\(708\) | −2.26526e12 | − | 1.12347e12i | −0.338819 | − | 0.168039i | ||||
\(709\) | 1.18757e13 | 1.76503 | 0.882514 | − | 0.470287i | \(-0.155850\pi\) | ||||
0.882514 | + | 0.470287i | \(0.155850\pi\) | |||||||
\(710\) | −2.90318e12 | − | 1.21521e12i | −0.428758 | − | 0.179469i | ||||
\(711\) | 5.70099e12 | + | 7.27239e12i | 0.836636 | + | 1.06724i | ||||
\(712\) | 1.41968e11 | + | 3.53859e11i | 0.0207029 | + | 0.0516024i | ||||
\(713\) | 2.59652e12i | 0.376261i | ||||||||
\(714\) | −2.08385e10 | + | 3.25216e11i | −0.00300071 | + | 0.0468306i | ||||
\(715\) | 1.57521e13i | 2.25404i | ||||||||
\(716\) | −5.25955e12 | − | 5.33839e12i | −0.747894 | − | 0.759104i | ||||
\(717\) | 6.48288e12 | − | 2.23817e12i | 0.916077 | − | 0.316269i | ||||
\(718\) | 2.38467e11 | − | 5.69708e11i | 0.0334864 | − | 0.0800004i | ||||
\(719\) | 3.48403e12 | 0.486185 | 0.243092 | − | 0.970003i | \(-0.421838\pi\) | ||||
0.243092 | + | 0.970003i | \(0.421838\pi\) | |||||||
\(720\) | 7.52659e12 | − | 5.72154e12i | 1.04376 | − | 0.793445i | ||||
\(721\) | −1.91267e12 | −0.263591 | ||||||||
\(722\) | 1.52963e12 | − | 3.65434e12i | 0.209492 | − | 0.500485i | ||||
\(723\) | −5.52520e12 | + | 1.90753e12i | −0.752014 | + | 0.259627i | ||||
\(724\) | −2.21230e12 | − | 2.24546e12i | −0.299240 | − | 0.303725i | ||||
\(725\) | 2.40435e11i | 0.0323204i | ||||||||
\(726\) | −4.35022e11 | + | 6.78917e12i | −0.0581161 | + | 0.906988i | ||||
\(727\) | − | 1.90029e12i | − | 0.252299i | −0.992011 | − | 0.126149i | \(-0.959738\pi\) | ||
0.992011 | − | 0.126149i | \(-0.0402619\pi\) | |||||||
\(728\) | 7.20741e11 | + | 1.79646e12i | 0.0951016 | + | 0.237043i | ||||
\(729\) | −3.13574e12 | − | 6.95103e12i | −0.411213 | − | 0.911539i | ||||
\(730\) | 4.44535e12 | + | 1.86072e12i | 0.579366 | + | 0.242510i | ||||
\(731\) | −4.62308e11 | −0.0598829 | ||||||||
\(732\) | 5.26363e12 | + | 2.61052e12i | 0.677618 | + | 0.336069i | ||||
\(733\) | −8.41372e12 | −1.07651 | −0.538257 | − | 0.842780i | \(-0.680917\pi\) | ||||
−0.538257 | + | 0.842780i | \(0.680917\pi\) | |||||||
\(734\) | −9.89879e12 | − | 4.14341e12i | −1.25878 | − | 0.526897i | ||||
\(735\) | −3.24271e12 | − | 9.39258e12i | −0.409841 | − | 1.18711i | ||||
\(736\) | −1.64592e12 | − | 7.17907e11i | −0.206757 | − | 0.0901816i | ||||
\(737\) | 2.85185e12i | 0.356059i | ||||||||
\(738\) | −1.33278e13 | + | 3.66623e12i | −1.65389 | + | 0.454953i | ||||
\(739\) | − | 4.63915e12i | − | 0.572188i | −0.958202 | − | 0.286094i | \(-0.907643\pi\) | ||
0.958202 | − | 0.286094i | \(-0.0923569\pi\) | |||||||
\(740\) | 1.77400e12 | − | 1.74780e12i | 0.217475 | − | 0.214264i | ||||
\(741\) | 4.13916e12 | + | 1.19891e13i | 0.504348 | + | 1.46085i | ||||
\(742\) | 7.52625e8 | − | 1.79805e9i | 9.11510e−5 | − | 0.000217763i | ||||
\(743\) | −9.43638e12 | −1.13594 | −0.567970 | − | 0.823049i | \(-0.692271\pi\) | ||||
−0.567970 | + | 0.823049i | \(0.692271\pi\) | |||||||
\(744\) | 9.12903e12 | + | 1.05360e13i | 1.09231 | + | 1.26066i | ||||
\(745\) | 5.82551e11 | 0.0692837 | ||||||||
\(746\) | −1.68491e12 | + | 4.02533e12i | −0.199183 | + | 0.475858i | ||||
\(747\) | 7.24813e12 | − | 5.68197e12i | 0.851693 | − | 0.667661i | ||||
\(748\) | 1.92644e12 | − | 1.89799e12i | 0.225009 | − | 0.221686i | ||||
\(749\) | − | 8.44367e11i | − | 0.0980309i | ||||||
\(750\) | 3.18591e12 | + | 2.04140e11i | 0.367670 | + | 0.0235588i | ||||
\(751\) | − | 5.79470e12i | − | 0.664739i | −0.943149 | − | 0.332369i | \(-0.892152\pi\) | ||
0.943149 | − | 0.332369i | \(-0.107848\pi\) | |||||||
\(752\) | −1.19689e11 | + | 8.04435e12i | −0.0136482 | + | 0.917298i | ||||
\(753\) | 7.11725e11 | − | 2.45718e11i | 0.0806742 | − | 0.0278521i | ||||
\(754\) | −4.57932e11 | − | 1.91680e11i | −0.0515976 | − | 0.0215976i | ||||
\(755\) | −5.87021e12 | −0.657495 | ||||||||
\(756\) | 3.74291e11 | + | 1.80512e12i | 0.0416737 | + | 0.200982i | ||||
\(757\) | −4.94427e12 | −0.547231 | −0.273615 | − | 0.961839i | \(-0.588220\pi\) | ||||
−0.273615 | + | 0.961839i | \(0.588220\pi\) | |||||||
\(758\) | −5.72000e12 | − | 2.39427e12i | −0.629339 | − | 0.263427i | ||||
\(759\) | 2.69339e12 | − | 9.29872e11i | 0.294585 | − | 0.101703i | ||||
\(760\) | −1.38999e13 | + | 5.57664e12i | −1.51130 | + | 0.606333i | ||||
\(761\) | − | 8.08769e12i | − | 0.874165i | −0.899421 | − | 0.437082i | \(-0.856012\pi\) | ||
0.899421 | − | 0.437082i | \(-0.143988\pi\) | |||||||
\(762\) | −4.75216e11 | − | 3.04499e10i | −0.0510616 | − | 0.00327182i | ||||
\(763\) | − | 1.61162e12i | − | 0.172148i | ||||||
\(764\) | 7.11216e12 | + | 7.21877e12i | 0.755234 | + | 0.766555i | ||||
\(765\) | 2.23466e12 | − | 1.75180e12i | 0.235904 | − | 0.184931i | ||||
\(766\) | 2.12243e12 | − | 5.07058e12i | 0.222743 | − | 0.532143i | ||||
\(767\) | −4.51065e12 | −0.470608 | ||||||||
\(768\) | −9.20282e12 | + | 2.87376e12i | −0.954543 | + | 0.298075i | ||||
\(769\) | −8.10783e12 | −0.836058 | −0.418029 | − | 0.908434i | \(-0.637279\pi\) | ||||
−0.418029 | + | 0.908434i | \(0.637279\pi\) | |||||||
\(770\) | 1.40039e12 | − | 3.34559e12i | 0.143562 | − | 0.342976i | ||||
\(771\) | −1.20812e12 | − | 3.49933e12i | −0.123130 | − | 0.356648i | ||||
\(772\) | 9.10549e12 | + | 9.24198e12i | 0.922626 | + | 0.936455i | ||||
\(773\) | − | 4.98799e12i | − | 0.502478i | −0.967925 | − | 0.251239i | \(-0.919162\pi\) | ||
0.967925 | − | 0.251239i | \(-0.0808381\pi\) | |||||||
\(774\) | −2.52160e12 | + | 6.93644e11i | −0.252547 | + | 0.0694708i | ||||
\(775\) | − | 1.20447e13i | − | 1.19933i | ||||||
\(776\) | −1.49867e13 | + | 6.01268e12i | −1.48364 | + | 0.595237i | ||||
\(777\) | 1.58469e11 | + | 4.59008e11i | 0.0155973 | + | 0.0451779i | ||||
\(778\) | 4.19663e11 | + | 1.75662e11i | 0.0410670 | + | 0.0171897i | ||||
\(779\) | 2.18970e13 | 2.13043 | ||||||||
\(780\) | 7.49358e12 | − | 1.51094e13i | 0.724876 | − | 1.46157i | ||||
\(781\) | −5.09269e12 | −0.489798 | ||||||||
\(782\) | −4.97476e11 | − | 2.08233e11i | −0.0475710 | − | 0.0199122i | ||||
\(783\) | −3.97154e11 | − | 2.56532e11i | −0.0377599 | − | 0.0243901i | ||||
\(784\) | −1.50745e11 | + | 1.01317e13i | −0.0142502 | + | 0.957764i | ||||
\(785\) | 1.63060e13i | 1.53262i | ||||||||
\(786\) | −1.43672e10 | + | 2.24222e11i | −0.00134268 | + | 0.0209545i | ||||
\(787\) | 1.39424e13i | 1.29554i | 0.761837 | + | 0.647769i | \(0.224298\pi\) | ||||
−0.761837 | + | 0.647769i | \(0.775702\pi\) | |||||||
\(788\) | 5.12532e12 | − | 5.04963e12i | 0.473536 | − | 0.466543i | ||||
\(789\) | −3.29526e12 | + | 1.13766e12i | −0.302722 | + | 0.104512i | ||||
\(790\) | −7.51564e12 | + | 1.79552e13i | −0.686506 | + | 1.64009i | ||||
\(791\) | −1.85357e12 | −0.168350 | ||||||||
\(792\) | 7.65980e12 | − | 1.32428e13i | 0.691758 | − | 1.19596i | ||||
\(793\) | 1.04811e13 | 0.941189 | ||||||||
\(794\) | 1.02407e12 | − | 2.44656e12i | 0.0914406 | − | 0.218455i | ||||
\(795\) | −1.60539e10 | + | 5.54250e9i | −0.00142538 | + | 0.000492100i | ||||
\(796\) | −1.76813e12 | + | 1.74202e12i | −0.156101 | + | 0.153796i | ||||
\(797\) | − | 3.83269e12i | − | 0.336466i | −0.985747 | − | 0.168233i | \(-0.946194\pi\) | ||
0.985747 | − | 0.168233i | \(-0.0538061\pi\) | |||||||
\(798\) | 1.86740e11 | − | 2.91435e12i | 0.0163014 | − | 0.254407i | ||||
\(799\) | 2.41624e12i | 0.209740i | ||||||||
\(800\) | 7.63509e12 | + | 3.33022e12i | 0.659036 | + | 0.287454i | ||||
\(801\) | 3.99645e11 | + | 5.09802e11i | 0.0343027 | + | 0.0437578i | ||||
\(802\) | 1.42004e13 | + | 5.94398e12i | 1.21204 | + | 0.507333i | ||||
\(803\) | 7.79791e12 | 0.661848 | ||||||||
\(804\) | 1.35668e12 | − | 2.73549e12i | 0.114505 | − | 0.230878i | ||||
\(805\) | −7.23260e11 | −0.0607034 | ||||||||
\(806\) | 2.29403e13 | + | 9.60230e12i | 1.91466 | + | 0.801434i | ||||
\(807\) | −2.13774e12 | − | 6.19201e12i | −0.177429 | − | 0.513926i | ||||
\(808\) | −4.50495e12 | − | 1.12287e13i | −0.371826 | − | 0.926782i | ||||
\(809\) | − | 1.38580e13i | − | 1.13745i | −0.822528 | − | 0.568725i | \(-0.807437\pi\) | ||
0.822528 | − | 0.568725i | \(-0.192563\pi\) | |||||||
\(810\) | 9.56030e12 | − | 1.29079e13i | 0.780349 | − | 1.05359i | ||||
\(811\) | − | 1.21585e13i | − | 0.986926i | −0.869767 | − | 0.493463i | \(-0.835731\pi\) | ||
0.869767 | − | 0.493463i | \(-0.164269\pi\) | |||||||
\(812\) | 8.02195e10 | + | 8.14219e10i | 0.00647556 | + | 0.00657263i | ||||
\(813\) | 2.72752e12 | + | 7.90031e12i | 0.218958 | + | 0.634215i | ||||
\(814\) | 1.55595e12 | − | 3.71722e12i | 0.124218 | − | 0.296762i | ||||
\(815\) | −1.32307e13 | −1.05045 | ||||||||
\(816\) | −2.75076e12 | + | 9.04106e11i | −0.217193 | + | 0.0713861i | ||||
\(817\) | 4.14287e12 | 0.325314 | ||||||||
\(818\) | 6.91271e11 | − | 1.65148e12i | 0.0539832 | − | 0.128968i | ||||
\(819\) | 2.02891e12 | + | 2.58815e12i | 0.157574 | + | 0.201007i | ||||
\(820\) | −2.04350e13 | − | 2.07413e13i | −1.57839 | − | 1.60204i | ||||
\(821\) | − | 2.21983e13i | − | 1.70520i | −0.522565 | − | 0.852599i | \(-0.675025\pi\) | ||
0.522565 | − | 0.852599i | \(-0.324975\pi\) | |||||||
\(822\) | −8.87553e12 | − | 5.68707e11i | −0.678065 | − | 0.0434476i | ||||
\(823\) | 2.31916e13i | 1.76210i | 0.473022 | + | 0.881050i | \(0.343163\pi\) | ||||
−0.473022 | + | 0.881050i | \(0.656837\pi\) | |||||||
\(824\) | −6.32788e12 | − | 1.57724e13i | −0.478174 | − | 1.19186i | ||||
\(825\) | −1.24941e13 | + | 4.31348e12i | −0.938990 | + | 0.324179i | ||||
\(826\) | 9.58016e11 | + | 4.01004e11i | 0.0716082 | + | 0.0299736i | ||||
\(827\) | 4.95365e12 | 0.368257 | 0.184128 | − | 0.982902i | \(-0.441054\pi\) | ||||
0.184128 | + | 0.982902i | \(0.441054\pi\) | |||||||
\(828\) | −3.02585e12 | − | 3.89367e11i | −0.223723 | − | 0.0287888i | ||||
\(829\) | −5.19375e12 | −0.381932 | −0.190966 | − | 0.981597i | \(-0.561162\pi\) | ||||
−0.190966 | + | 0.981597i | \(0.561162\pi\) | |||||||
\(830\) | 1.78953e13 | + | 7.49057e12i | 1.30884 | + | 0.547852i | ||||
\(831\) | 7.45788e12 | − | 2.57478e12i | 0.542514 | − | 0.187299i | ||||
\(832\) | −1.24296e13 | + | 1.18868e13i | −0.899293 | + | 0.860025i | ||||
\(833\) | 3.04320e12i | 0.218992i | ||||||||
\(834\) | −2.11730e13 | − | 1.35668e12i | −1.51543 | − | 0.0971025i | ||||
\(835\) | 7.61403e12i | 0.542033i | ||||||||
\(836\) | −1.72634e13 | + | 1.70085e13i | −1.22236 | + | 1.20431i | ||||
\(837\) | 1.98956e13 | + | 1.28511e13i | 1.40118 | + | 0.905056i | ||||
\(838\) | 5.30972e12 | − | 1.26851e13i | 0.371940 | − | 0.888581i | ||||
\(839\) | −1.92640e13 | −1.34220 | −0.671100 | − | 0.741367i | \(-0.734178\pi\) | ||||
−0.671100 | + | 0.741367i | \(0.734178\pi\) | |||||||
\(840\) | −2.93481e12 | + | 2.54289e12i | −0.203387 | + | 0.176226i | ||||
\(841\) | 1.44778e13 | 0.997979 | ||||||||
\(842\) | −9.51743e12 | + | 2.27375e13i | −0.652552 | + | 1.55897i | ||||
\(843\) | 5.95072e12 | + | 1.72364e13i | 0.405831 | + | 1.17550i | ||||
\(844\) | 1.21766e13 | − | 1.19968e13i | 0.826011 | − | 0.813812i | ||||
\(845\) | − | 1.06553e13i | − | 0.718973i | ||||||
\(846\) | 3.62532e12 | + | 1.31791e13i | 0.243321 | + | 0.884544i | ||||
\(847\) | − | 2.79424e12i | − | 0.186547i | ||||||
\(848\) | 1.73172e10 | + | 2.57656e8i | 0.00115000 | + | 1.71104e-5i | ||||
\(849\) | 1.82706e11 | + | 5.29212e11i | 0.0120689 | + | 0.0349579i | ||||
\(850\) | 2.30769e12 | + | 9.65947e11i | 0.151632 | + | 0.0634699i | ||||
\(851\) | −8.03603e11 | −0.0525241 | ||||||||
\(852\) | 4.88490e12 | + | 2.42269e12i | 0.317598 | + | 0.157514i | ||||
\(853\) | −1.58841e13 | −1.02729 | −0.513644 | − | 0.858003i | \(-0.671705\pi\) | ||||
−0.513644 | + | 0.858003i | \(0.671705\pi\) | |||||||
\(854\) | −2.22608e12 | − | 9.31787e11i | −0.143212 | − | 0.0599454i | ||||
\(855\) | −2.00255e13 | + | 1.56984e13i | −1.28155 | + | 1.00463i | ||||
\(856\) | 6.96287e12 | − | 2.79351e12i | 0.443257 | − | 0.177835i | ||||
\(857\) | 1.76716e13i | 1.11908i | 0.828803 | + | 0.559541i | \(0.189023\pi\) | ||||
−0.828803 | + | 0.559541i | \(0.810977\pi\) | |||||||
\(858\) | 1.74510e12 | − | 2.72349e13i | 0.109933 | − | 1.71567i | ||||
\(859\) | − | 1.60684e13i | − | 1.00694i | −0.864013 | − | 0.503470i | \(-0.832056\pi\) | ||
0.864013 | − | 0.503470i | \(-0.167944\pi\) | |||||||
\(860\) | −3.86627e12 | − | 3.92422e12i | −0.241018 | − | 0.244630i | ||||
\(861\) | 5.36667e12 | − | 1.85280e12i | 0.332806 | − | 0.114899i | ||||
\(862\) | 9.65289e12 | − | 2.30612e13i | 0.595490 | − | 1.42265i | ||||
\(863\) | −2.11583e13 | −1.29847 | −0.649234 | − | 0.760589i | \(-0.724911\pi\) | ||||
−0.649234 | + | 0.760589i | \(0.724911\pi\) | |||||||
\(864\) | −1.36471e13 | + | 9.05855e12i | −0.833163 | + | 0.553028i | ||||
\(865\) | 2.80935e13 | 1.70621 | ||||||||
\(866\) | 5.14041e12 | − | 1.22807e13i | 0.310576 | − | 0.741979i | ||||
\(867\) | 1.49045e13 | − | 5.14568e12i | 0.895845 | − | 0.309284i | ||||
\(868\) | −4.01863e12 | − | 4.07887e12i | −0.240292 | − | 0.243894i | ||||
\(869\) | 3.14965e13i | 1.87358i | ||||||||
\(870\) | 6.36838e10 | − | 9.93880e11i | 0.00376870 | − | 0.0588163i | ||||
\(871\) | − | 5.44698e12i | − | 0.320682i | ||||||
\(872\) | 1.32899e13 | − | 5.33190e12i | 0.778388 | − | 0.312290i | ||||
\(873\) | −2.15913e13 | + | 1.69259e13i | −1.25810 | + | 0.986250i | ||||
\(874\) | 4.45803e12 | + | 1.86603e12i | 0.258429 | + | 0.108173i | ||||
\(875\) | −1.31124e12 | −0.0756215 | ||||||||
\(876\) | −7.47975e12 | − | 3.70962e12i | −0.429159 | − | 0.212844i | ||||
\(877\) | −2.08743e13 | −1.19156 | −0.595778 | − | 0.803149i | \(-0.703156\pi\) | ||||
−0.595778 | + | 0.803149i | \(0.703156\pi\) | |||||||
\(878\) | 6.27284e11 | + | 2.62567e11i | 0.0356237 | + | 0.0149113i | ||||
\(879\) | 2.57277e12 | + | 7.45207e12i | 0.145362 | + | 0.421044i | ||||
\(880\) | 3.22216e13 | + | 4.79414e11i | 1.81124 | + | 0.0269487i | ||||
\(881\) | − | 2.43138e13i | − | 1.35976i | −0.733325 | − | 0.679878i | \(-0.762033\pi\) | ||
0.733325 | − | 0.679878i | \(-0.237967\pi\) | |||||||
\(882\) | 4.56600e12 | + | 1.65988e13i | 0.254055 | + | 0.923564i | ||||
\(883\) | 2.57502e13i | 1.42547i | 0.701436 | + | 0.712733i | \(0.252543\pi\) | ||||
−0.701436 | + | 0.712733i | \(0.747457\pi\) | |||||||
\(884\) | −3.67948e12 | + | 3.62514e12i | −0.202652 | + | 0.199659i | ||||
\(885\) | −2.95309e12 | − | 8.55366e12i | −0.161820 | − | 0.468713i | ||||
\(886\) | −1.14897e13 | + | 2.74494e13i | −0.626407 | + | 1.49651i | ||||
\(887\) | 2.12882e13 | 1.15473 | 0.577367 | − | 0.816485i | \(-0.304080\pi\) | ||||
0.577367 | + | 0.816485i | \(0.304080\pi\) | |||||||
\(888\) | −3.26082e12 | + | 2.82536e12i | −0.175982 | + | 0.152481i | ||||
\(889\) | 1.95587e11 | 0.0105022 | ||||||||
\(890\) | −5.26854e11 | + | 1.25868e12i | −0.0281472 | + | 0.0672449i | ||||
\(891\) | 6.20547e12 | − | 2.52401e13i | 0.329856 | − | 1.34166i | ||||
\(892\) | −1.69181e13 | + | 1.66682e13i | −0.894764 | + | 0.881551i | ||||
\(893\) | − | 2.16527e13i | − | 1.13941i | ||||||
\(894\) | −1.00722e12 | − | 6.45382e10i | −0.0527355 | − | 0.00337908i | ||||
\(895\) | − | 2.68195e13i | − | 1.39716i | ||||||
\(896\) | 3.69668e12 | − | 1.41963e12i | 0.191613 | − | 0.0735851i | ||||
\(897\) | −5.14433e12 | + | 1.77604e12i | −0.265316 | + | 0.0915982i | ||||
\(898\) | −2.90968e13 | − | 1.21793e13i | −1.49315 | − | 0.624998i | ||||
\(899\) | 1.46852e12 | 0.0749826 | ||||||||
\(900\) | 1.40363e13 | + | 1.80619e12i | 0.713118 | + | 0.0917641i | ||||
\(901\) | 5.20149e9 | 0.000262946 | ||||||||
\(902\) | −4.34613e13 | − | 1.81919e13i | −2.18612 | − | 0.915061i | ||||
\(903\) | 1.01536e12 | − | 3.50546e11i | 0.0508191 | − | 0.0175449i | ||||
\(904\) | −6.13235e12 | − | 1.52850e13i | −0.305400 | − | 0.761215i | ||||
\(905\) | − | 1.12810e13i | − | 0.559020i | ||||||
\(906\) | 1.01494e13 | + | 6.50334e11i | 0.500455 | + | 0.0320671i | ||||
\(907\) | − | 3.26042e11i | − | 0.0159971i | −0.999968 | − | 0.00799854i | \(-0.997454\pi\) | ||
0.999968 | − | 0.00799854i | \(-0.00254604\pi\) | |||||||
\(908\) | 1.70993e13 | + | 1.73557e13i | 0.834821 | + | 0.847334i | ||||
\(909\) | −1.26816e13 | − | 1.61771e13i | −0.616079 | − | 0.785893i | ||||
\(910\) | −2.67472e12 | + | 6.39002e12i | −0.129298 | + | 0.308898i | ||||
\(911\) | 1.96607e13 | 0.945730 | 0.472865 | − | 0.881135i | \(-0.343220\pi\) | ||||
0.472865 | + | 0.881135i | \(0.343220\pi\) | |||||||
\(912\) | 2.46503e13 | − | 8.10195e12i | 1.17990 | − | 0.387805i | ||||
\(913\) | 3.13914e13 | 1.49518 | ||||||||
\(914\) | 4.70363e12 | − | 1.12372e13i | 0.222933 | − | 0.532597i | ||||
\(915\) | 6.86189e12 | + | 1.98756e13i | 0.323630 | + | 0.937399i | ||||
\(916\) | 2.33511e13 | + | 2.37011e13i | 1.09592 | + | 1.11234i | ||||
\(917\) | − | 9.22840e10i | − | 0.00430987i | ||||||
\(918\) | −4.05775e12 | + | 2.78125e12i | −0.188579 | + | 0.129255i | ||||
\(919\) | − | 2.06713e13i | − | 0.955979i | −0.878366 | − | 0.477989i | \(-0.841366\pi\) | ||
0.878366 | − | 0.477989i | \(-0.158634\pi\) | |||||||
\(920\) | −2.39284e12 | − | 5.96419e12i | −0.110120 | − | 0.274477i | ||||
\(921\) | −8.41794e12 | − | 2.43827e13i | −0.385511 | − | 1.11664i | ||||
\(922\) | 2.98988e13 | + | 1.25150e13i | 1.36259 | + | 0.570350i | ||||
\(923\) | 9.72695e12 | 0.441133 | ||||||||
\(924\) | −2.79188e12 | + | 5.62928e12i | −0.126000 | + | 0.254056i | ||||
\(925\) | 3.72774e12 | 0.167420 | ||||||||
\(926\) | 2.12880e13 | + | 8.91069e12i | 0.951449 | + | 0.398255i | ||||
\(927\) | −1.78132e13 | − | 2.27232e13i | −0.792287 | − | 1.01067i | ||||
\(928\) | −4.06028e11 | + | 9.30887e11i | −0.0179717 | + | 0.0412032i | ||||
\(929\) | 3.58981e13i | 1.58125i | 0.612301 | + | 0.790625i | \(0.290244\pi\) | ||||
−0.612301 | + | 0.790625i | \(0.709756\pi\) | |||||||
\(930\) | −3.19027e12 | + | 4.97889e13i | −0.139847 | + | 2.18252i | ||||
\(931\) | − | 2.72710e13i | − | 1.18967i | ||||||
\(932\) | 1.08532e13 | − | 1.06929e13i | 0.471180 | − | 0.464222i | ||||
\(933\) | 4.02587e13 | − | 1.38990e13i | 1.73937 | − | 0.600505i | ||||
\(934\) | −4.07690e12 | + | 9.73989e12i | −0.175295 | + | 0.418787i | ||||
\(935\) | 9.67826e12 | 0.414138 | ||||||||
\(936\) | −1.46301e13 | + | 2.52935e13i | −0.623026 | + | 1.07713i | ||||
\(937\) | −3.11338e13 | −1.31948 | −0.659741 | − | 0.751493i | \(-0.729334\pi\) | ||||
−0.659741 | + | 0.751493i | \(0.729334\pi\) | |||||||
\(938\) | −4.84246e11 | + | 1.15688e12i | −0.0204246 | + | 0.0487952i | ||||
\(939\) | −3.55164e13 | + | 1.22618e13i | −1.49085 | + | 0.514704i | ||||
\(940\) | −2.05099e13 | + | 2.02070e13i | −0.856817 | + | 0.844164i | ||||
\(941\) | 3.86024e13i | 1.60495i | 0.596686 | + | 0.802475i | \(0.296484\pi\) | ||||
−0.596686 | + | 0.802475i | \(0.703516\pi\) | |||||||
\(942\) | 1.80647e12 | − | 2.81926e13i | 0.0747482 | − | 1.16656i | ||||
\(943\) | 9.39562e12i | 0.386922i | ||||||||
\(944\) | −1.37281e11 | + | 9.22673e12i | −0.00562649 | + | 0.378159i | ||||
\(945\) | −3.57967e12 | + | 5.54191e12i | −0.146016 | + | 0.226056i | ||||
\(946\) | −8.22280e12 | − | 3.44188e12i | −0.333818 | − | 0.139729i | ||||
\(947\) | −2.51469e12 | −0.101604 | −0.0508019 | − | 0.998709i | \(-0.516178\pi\) | ||||
−0.0508019 | + | 0.998709i | \(0.516178\pi\) | |||||||
\(948\) | 1.49835e13 | − | 3.02114e13i | 0.602526 | − | 1.21488i | ||||
\(949\) | −1.48939e13 | −0.596088 | ||||||||
\(950\) | −2.06799e13 | − | 8.65613e12i | −0.823742 | − | 0.344800i | ||||
\(951\) | −6.12678e12 | − | 1.77463e13i | −0.242896 | − | 0.703551i | ||||
\(952\) | 1.10377e12 | − | 4.42831e11i | 0.0435522 | − | 0.0174732i | ||||
\(953\) | − | 1.44824e13i | − | 0.568753i | −0.958713 | − | 0.284377i | \(-0.908213\pi\) | ||
0.958713 | − | 0.284377i | \(-0.0917866\pi\) | |||||||
\(954\) | 2.83709e10 | − | 7.80429e9i | 0.00110893 | − | 0.000305046i | ||||
\(955\) | 3.62664e13i | 1.41088i | ||||||||
\(956\) | −1.75661e13 | − | 1.78294e13i | −0.680166 | − | 0.690361i | ||||
\(957\) | −5.25909e11 | − | 1.52330e12i | −0.0202678 | − | 0.0587061i | ||||
\(958\) | 1.87218e13 | − | 4.47272e13i | 0.718130 | − | 1.71564i | ||||
\(959\) | 3.65294e12 | 0.139463 | ||||||||
\(960\) | −3.06789e13 | − | 1.57883e13i | −1.16579 | − | 0.599951i | ||||
\(961\) | −4.71265e13 | −1.78242 | ||||||||
\(962\) | −2.97184e12 | + | 7.09984e12i | −0.111876 | + | 0.267277i | ||||
\(963\) | 1.00314e13 | − | 7.86380e12i | 0.375873 | − | 0.294655i | ||||
\(964\) | 1.49712e13 | + | 1.51956e13i | 0.558353 | + | 0.566722i | ||||
\(965\) | 4.64308e13i | 1.72359i | ||||||||
\(966\) | 1.25050e12 | + | 8.01267e10i | 0.0462047 | + | 0.00296060i | ||||
\(967\) | 2.84274e13i | 1.04549i | 0.852490 | + | 0.522744i | \(0.175091\pi\) | ||||
−0.852490 | + | 0.522744i | \(0.824909\pi\) | |||||||
\(968\) | 2.30421e13 | − | 9.24449e12i | 0.843495 | − | 0.338411i | ||||
\(969\) | 7.36627e12 | − | 2.54315e12i | 0.268405 | − | 0.0926647i | ||||
\(970\) | −5.33078e13 | − | 2.23135e13i | −1.93338 | − | 0.809271i | ||||
\(971\) | −1.01920e13 | −0.367938 | −0.183969 | − | 0.982932i | \(-0.558895\pi\) | ||||
−0.183969 | + | 0.982932i | \(0.558895\pi\) | |||||||
\(972\) | −1.79595e13 | + | 2.12582e13i | −0.645351 | + | 0.763886i | ||||
\(973\) | 8.71427e12 | 0.311690 | ||||||||
\(974\) | −4.48118e13 | − | 1.87572e13i | −1.59543 | − | 0.667810i | ||||
\(975\) | 2.38635e13 | − | 8.23868e12i | 0.845693 | − | 0.291969i | ||||
\(976\) | 3.18991e11 | − | 2.14395e13i | 0.0112526 | − | 0.756295i | ||||
\(977\) | − | 2.67930e13i | − | 0.940795i | −0.882455 | − | 0.470398i | \(-0.844110\pi\) | ||
0.882455 | − | 0.470398i | \(-0.155890\pi\) | |||||||
\(978\) | 2.28755e13 | + | 1.46577e12i | 0.799552 | + | 0.0512320i | ||||
\(979\) | 2.20794e12i | 0.0768183i | ||||||||
\(980\) | −2.58317e13 | + | 2.54502e13i | −0.894614 | + | 0.881402i | ||||
\(981\) | 1.91466e13 | − | 1.50095e13i | 0.660057 | − | 0.517433i | ||||
\(982\) | −1.45030e13 | + | 3.46484e13i | −0.497688 | + | 1.18900i | ||||
\(983\) | −2.49705e13 | −0.852976 | −0.426488 | − | 0.904493i | \(-0.640249\pi\) | ||||
−0.426488 | + | 0.904493i | \(0.640249\pi\) | |||||||
\(984\) | 3.30338e13 | + | 3.81251e13i | 1.12326 | + | 1.29638i | ||||
\(985\) | 2.57491e13 | 0.871563 | ||||||||
\(986\) | −1.17770e11 | + | 2.81359e11i | −0.00396817 | + | 0.00948012i | ||||
\(987\) | −1.83213e12 | − | 5.30678e12i | −0.0614509 | − | 0.177994i | ||||
\(988\) | 3.29729e13 | − | 3.24859e13i | 1.10091 | − | 1.08465i | ||||
\(989\) | 1.77763e12i | 0.0590825i | ||||||||
\(990\) | 5.27889e13 | − | 1.45212e13i | 1.74656 | − | 0.480446i | ||||
\(991\) | 4.10234e13i | 1.35114i | 0.737296 | + | 0.675569i | \(0.236102\pi\) | ||||
−0.737296 | + | 0.675569i | \(0.763898\pi\) | |||||||
\(992\) | 2.03401e13 | − | 4.66332e13i | 0.666886 | − | 1.52895i | ||||
\(993\) | 5.04184e12 | + | 1.46038e13i | 0.164557 | + | 0.476643i | ||||
\(994\) | −2.06591e12 | − | 8.64743e11i | −0.0671231 | − | 0.0280963i | ||||
\(995\) | −8.88291e12 | −0.287310 | ||||||||
\(996\) | −3.01106e13 | − | 1.49335e13i | −0.969510 | − | 0.480834i | ||||
\(997\) | 1.48516e13 | 0.476043 | 0.238022 | − | 0.971260i | \(-0.423501\pi\) | ||||
0.238022 | + | 0.971260i | \(0.423501\pi\) | |||||||
\(998\) | 4.51422e13 | + | 1.88955e13i | 1.44044 | + | 0.602937i | ||||
\(999\) | −3.97731e12 | + | 6.15753e12i | −0.126341 | + | 0.195597i |
(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 | 12.10.b.a.11.6 | yes | 16 | |
3.2 | odd | 2 | inner | 12.10.b.a.11.11 | yes | 16 | |
4.3 | odd | 2 | inner | 12.10.b.a.11.12 | yes | 16 | |
8.3 | odd | 2 | 192.10.c.d.191.15 | 16 | |||
8.5 | even | 2 | 192.10.c.d.191.2 | 16 | |||
12.11 | even | 2 | inner | 12.10.b.a.11.5 | ✓ | 16 | |
24.5 | odd | 2 | 192.10.c.d.191.16 | 16 | |||
24.11 | even | 2 | 192.10.c.d.191.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.10.b.a.11.5 | ✓ | 16 | 12.11 | even | 2 | inner | |
12.10.b.a.11.6 | yes | 16 | 1.1 | even | 1 | trivial | |
12.10.b.a.11.11 | yes | 16 | 3.2 | odd | 2 | inner | |
12.10.b.a.11.12 | yes | 16 | 4.3 | odd | 2 | inner | |
192.10.c.d.191.1 | 16 | 24.11 | even | 2 | |||
192.10.c.d.191.2 | 16 | 8.5 | even | 2 | |||
192.10.c.d.191.15 | 16 | 8.3 | odd | 2 | |||
192.10.c.d.191.16 | 16 | 24.5 | odd | 2 |