Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(10,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.10");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.c (of order \(3\), 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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 10.8 | ||
Character | \(\chi\) | \(=\) | 37.10 |
Dual form | 37.8.c.a.26.8 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.42160 | + | 5.92638i | −0.302429 | + | 0.523823i | −0.976686 | − | 0.214674i | \(-0.931131\pi\) |
0.674256 | + | 0.738497i | \(0.264464\pi\) | |||||||
\(3\) | 28.0949 | + | 48.6617i | 0.600762 | + | 1.04055i | 0.992706 | + | 0.120561i | \(0.0384693\pi\) |
−0.391944 | + | 0.919989i | \(0.628197\pi\) | |||||||
\(4\) | 40.5853 | + | 70.2959i | 0.317073 | + | 0.549187i | ||||
\(5\) | −242.165 | − | 419.442i | −0.866395 | − | 1.50064i | −0.865655 | − | 0.500641i | \(-0.833098\pi\) |
−0.000739881 | − | 1.00000i | \(-0.500236\pi\) | |||||||
\(6\) | −384.517 | −0.726752 | ||||||||
\(7\) | −642.579 | − | 1112.98i | −0.708082 | − | 1.22643i | −0.965568 | − | 0.260152i | \(-0.916227\pi\) |
0.257486 | − | 0.966282i | \(-0.417106\pi\) | |||||||
\(8\) | −1431.40 | −0.988427 | ||||||||
\(9\) | −485.141 | + | 840.289i | −0.221830 | + | 0.384220i | ||||
\(10\) | 3314.36 | 1.04809 | ||||||||
\(11\) | 763.881 | 0.173042 | 0.0865209 | − | 0.996250i | \(-0.472425\pi\) | ||||
0.0865209 | + | 0.996250i | \(0.472425\pi\) | |||||||
\(12\) | −2280.48 | + | 3949.90i | −0.380971 | + | 0.659861i | ||||
\(13\) | −1834.10 | − | 3176.75i | −0.231537 | − | 0.401034i | 0.726724 | − | 0.686930i | \(-0.241042\pi\) |
−0.958261 | + | 0.285896i | \(0.907709\pi\) | |||||||
\(14\) | 8794.59 | 0.856579 | ||||||||
\(15\) | 13607.2 | − | 23568.3i | 1.04099 | − | 1.80305i | ||||
\(16\) | −297.264 | + | 514.876i | −0.0181435 | + | 0.0314255i | ||||
\(17\) | −14076.7 | + | 24381.5i | −0.694911 | + | 1.20362i | 0.275299 | + | 0.961359i | \(0.411223\pi\) |
−0.970211 | + | 0.242263i | \(0.922110\pi\) | |||||||
\(18\) | −3319.92 | − | 5750.26i | −0.134176 | − | 0.232399i | ||||
\(19\) | −25140.5 | − | 43544.7i | −0.840886 | − | 1.45646i | −0.889147 | − | 0.457622i | \(-0.848701\pi\) |
0.0482610 | − | 0.998835i | \(-0.484632\pi\) | |||||||
\(20\) | 19656.7 | − | 34046.4i | 0.549421 | − | 0.951625i | ||||
\(21\) | 36106.3 | − | 62538.0i | 0.850777 | − | 1.47359i | ||||
\(22\) | −2613.69 | + | 4527.05i | −0.0523329 | + | 0.0906433i | ||||
\(23\) | 15563.0 | 0.266714 | 0.133357 | − | 0.991068i | \(-0.457424\pi\) | ||||
0.133357 | + | 0.991068i | \(0.457424\pi\) | |||||||
\(24\) | −40214.9 | − | 69654.2i | −0.593809 | − | 1.02851i | ||||
\(25\) | −78225.1 | + | 135490.i | −1.00128 | + | 1.73427i | ||||
\(26\) | 25102.1 | 0.280094 | ||||||||
\(27\) | 68367.0 | 0.668457 | ||||||||
\(28\) | 52158.6 | − | 90341.3i | 0.449027 | − | 0.777738i | ||||
\(29\) | 109671. | 0.835024 | 0.417512 | − | 0.908671i | \(-0.362902\pi\) | ||||
0.417512 | + | 0.908671i | \(0.362902\pi\) | |||||||
\(30\) | 93116.5 | + | 161283.i | 0.629654 | + | 1.09059i | ||||
\(31\) | −120814. | −0.728368 | −0.364184 | − | 0.931327i | \(-0.618652\pi\) | ||||
−0.364184 | + | 0.931327i | \(0.618652\pi\) | |||||||
\(32\) | −93643.6 | − | 162195.i | −0.505188 | − | 0.875011i | ||||
\(33\) | 21461.1 | + | 37171.7i | 0.103957 | + | 0.180059i | ||||
\(34\) | −96329.5 | − | 166848.i | −0.420323 | − | 0.728021i | ||||
\(35\) | −311220. | + | 539049.i | −1.22696 | + | 2.12515i | ||||
\(36\) | −78758.5 | −0.281345 | ||||||||
\(37\) | −269063. | + | 150123.i | −0.873270 | + | 0.487237i | ||||
\(38\) | 344083. | 1.01723 | ||||||||
\(39\) | 103057. | − | 178500.i | 0.278197 | − | 0.481851i | ||||
\(40\) | 346634. | + | 600387.i | 0.856369 | + | 1.48327i | ||||
\(41\) | −241952. | − | 419073.i | −0.548259 | − | 0.949613i | −0.998394 | − | 0.0566521i | \(-0.981957\pi\) |
0.450135 | − | 0.892961i | \(-0.351376\pi\) | |||||||
\(42\) | 247083. | + | 427960.i | 0.514600 | + | 0.891313i | ||||
\(43\) | −571228. | −1.09564 | −0.547822 | − | 0.836595i | \(-0.684543\pi\) | ||||
−0.547822 | + | 0.836595i | \(0.684543\pi\) | |||||||
\(44\) | 31002.4 | + | 53697.7i | 0.0548669 | + | 0.0950322i | ||||
\(45\) | 469937. | 0.768768 | ||||||||
\(46\) | −53250.3 | + | 92232.2i | −0.0806621 | + | 0.139711i | ||||
\(47\) | 1.19239e6 | 1.67524 | 0.837618 | − | 0.546257i | \(-0.183948\pi\) | ||||
0.837618 | + | 0.546257i | \(0.183948\pi\) | |||||||
\(48\) | −33406.3 | −0.0435998 | ||||||||
\(49\) | −414044. | + | 717146.i | −0.502760 | + | 0.870805i | ||||
\(50\) | −535309. | − | 927183.i | −0.605633 | − | 1.04899i | ||||
\(51\) | −1.58193e6 | −1.66990 | ||||||||
\(52\) | 148875. | − | 257859.i | 0.146828 | − | 0.254314i | ||||
\(53\) | 214200. | − | 371006.i | 0.197631 | − | 0.342307i | −0.750129 | − | 0.661292i | \(-0.770009\pi\) |
0.947760 | + | 0.318985i | \(0.103342\pi\) | |||||||
\(54\) | −233924. | + | 405169.i | −0.202161 | + | 0.350153i | ||||
\(55\) | −184985. | − | 320403.i | −0.149923 | − | 0.259674i | ||||
\(56\) | 919785. | + | 1.59311e6i | 0.699887 | + | 1.21224i | ||||
\(57\) | 1.41264e6 | − | 2.44676e6i | 1.01034 | − | 1.74997i | ||||
\(58\) | −375250. | + | 649952.i | −0.252536 | + | 0.437405i | ||||
\(59\) | −747009. | + | 1.29386e6i | −0.473526 | + | 0.820171i | −0.999541 | − | 0.0303047i | \(-0.990352\pi\) |
0.526015 | + | 0.850475i | \(0.323686\pi\) | |||||||
\(60\) | 2.20901e6 | 1.32028 | ||||||||
\(61\) | −810495. | − | 1.40382e6i | −0.457189 | − | 0.791874i | 0.541622 | − | 0.840622i | \(-0.317810\pi\) |
−0.998811 | + | 0.0487476i | \(0.984477\pi\) | |||||||
\(62\) | 413377. | − | 715989.i | 0.220280 | − | 0.381536i | ||||
\(63\) | 1.24697e6 | 0.628294 | ||||||||
\(64\) | 1.20554e6 | 0.574848 | ||||||||
\(65\) | −888307. | + | 1.53859e6i | −0.401205 | + | 0.694907i | ||||
\(66\) | −293725. | −0.125758 | ||||||||
\(67\) | −1.25430e6 | − | 2.17251e6i | −0.509495 | − | 0.882471i | −0.999940 | − | 0.0109985i | \(-0.996499\pi\) |
0.490445 | − | 0.871472i | \(-0.336834\pi\) | |||||||
\(68\) | −2.28523e6 | −0.881350 | ||||||||
\(69\) | 437240. | + | 757322.i | 0.160232 | + | 0.277529i | ||||
\(70\) | −2.12974e6 | − | 3.68882e6i | −0.742136 | − | 1.28542i | ||||
\(71\) | 138807. | + | 240421.i | 0.0460264 | + | 0.0797201i | 0.888121 | − | 0.459610i | \(-0.152011\pi\) |
−0.842094 | + | 0.539330i | \(0.818677\pi\) | |||||||
\(72\) | 694429. | − | 1.20279e6i | 0.219262 | − | 0.379774i | ||||
\(73\) | 1.34107e6 | 0.403481 | 0.201740 | − | 0.979439i | \(-0.435340\pi\) | ||||
0.201740 | + | 0.979439i | \(0.435340\pi\) | |||||||
\(74\) | 30942.7 | − | 2.10823e6i | 0.00887661 | − | 0.604794i | ||||
\(75\) | −8.79089e6 | −2.40613 | ||||||||
\(76\) | 2.04067e6 | − | 3.53455e6i | 0.533244 | − | 0.923606i | ||||
\(77\) | −490854. | − | 850184.i | −0.122528 | − | 0.212224i | ||||
\(78\) | 705241. | + | 1.22151e6i | 0.168270 | + | 0.291452i | ||||
\(79\) | −2.16179e6 | − | 3.74433e6i | −0.493309 | − | 0.854436i | 0.506661 | − | 0.862145i | \(-0.330879\pi\) |
−0.999970 | + | 0.00770909i | \(0.997546\pi\) | |||||||
\(80\) | 287947. | 0.0628779 | ||||||||
\(81\) | 2.98176e6 | + | 5.16457e6i | 0.623413 | + | 1.07978i | ||||
\(82\) | 3.31145e6 | 0.663239 | ||||||||
\(83\) | −4.22851e6 | + | 7.32399e6i | −0.811735 | + | 1.40597i | 0.0999144 | + | 0.994996i | \(0.468143\pi\) |
−0.911649 | + | 0.410970i | \(0.865190\pi\) | |||||||
\(84\) | 5.86155e6 | 1.07903 | ||||||||
\(85\) | 1.36355e7 | 2.40827 | ||||||||
\(86\) | 1.95451e6 | − | 3.38531e6i | 0.331355 | − | 0.573924i | ||||
\(87\) | 3.08119e6 | + | 5.33678e6i | 0.501651 | + | 0.868884i | ||||
\(88\) | −1.09342e6 | −0.171039 | ||||||||
\(89\) | −94063.4 | + | 162923.i | −0.0141435 | + | 0.0244972i | −0.873011 | − | 0.487701i | \(-0.837835\pi\) |
0.858867 | + | 0.512199i | \(0.171169\pi\) | |||||||
\(90\) | −1.60793e6 | + | 2.78502e6i | −0.232498 | + | 0.402698i | ||||
\(91\) | −2.35710e6 | + | 4.08262e6i | −0.327894 | + | 0.567929i | ||||
\(92\) | 631629. | + | 1.09401e6i | 0.0845678 | + | 0.146476i | ||||
\(93\) | −3.39425e6 | − | 5.87901e6i | −0.437576 | − | 0.757904i | ||||
\(94\) | −4.07988e6 | + | 7.06656e6i | −0.506640 | + | 0.877527i | ||||
\(95\) | −1.21763e7 | + | 2.10900e7i | −1.45708 | + | 2.52373i | ||||
\(96\) | 5.26180e6 | − | 9.11371e6i | 0.606995 | − | 1.05135i | ||||
\(97\) | 9.35439e6 | 1.04067 | 0.520336 | − | 0.853961i | \(-0.325807\pi\) | ||||
0.520336 | + | 0.853961i | \(0.325807\pi\) | |||||||
\(98\) | −2.83339e6 | − | 4.90757e6i | −0.304099 | − | 0.526714i | ||||
\(99\) | −370590. | + | 641881.i | −0.0383858 | + | 0.0664861i | ||||
\(100\) | −1.26992e7 | −1.26992 | ||||||||
\(101\) | 5.58649e6 | 0.539529 | 0.269764 | − | 0.962926i | \(-0.413054\pi\) | ||||
0.269764 | + | 0.962926i | \(0.413054\pi\) | |||||||
\(102\) | 5.41273e6 | − | 9.37512e6i | 0.505028 | − | 0.874734i | ||||
\(103\) | −3.79626e6 | −0.342315 | −0.171157 | − | 0.985244i | \(-0.554751\pi\) | ||||
−0.171157 | + | 0.985244i | \(0.554751\pi\) | |||||||
\(104\) | 2.62532e6 | + | 4.54718e6i | 0.228857 | + | 0.396393i | ||||
\(105\) | −3.49747e7 | −2.94844 | ||||||||
\(106\) | 1.46582e6 | + | 2.53887e6i | 0.119539 | + | 0.207047i | ||||
\(107\) | 3.77219e6 | + | 6.53363e6i | 0.297681 | + | 0.515598i | 0.975605 | − | 0.219534i | \(-0.0704536\pi\) |
−0.677924 | + | 0.735132i | \(0.737120\pi\) | |||||||
\(108\) | 2.77470e6 | + | 4.80592e6i | 0.211950 | + | 0.367107i | ||||
\(109\) | 6.40384e6 | − | 1.10918e7i | 0.473640 | − | 0.820368i | −0.525905 | − | 0.850543i | \(-0.676273\pi\) |
0.999545 | + | 0.0301754i | \(0.00960660\pi\) | |||||||
\(110\) | 2.53178e6 | 0.181364 | ||||||||
\(111\) | −1.48645e7 | − | 8.87541e6i | −1.03162 | − | 0.615968i | ||||
\(112\) | 764062. | 0.0513884 | ||||||||
\(113\) | 3.97549e6 | − | 6.88574e6i | 0.259188 | − | 0.448928i | −0.706836 | − | 0.707377i | \(-0.749878\pi\) |
0.966025 | + | 0.258450i | \(0.0832116\pi\) | |||||||
\(114\) | 9.66697e6 | + | 1.67437e7i | 0.611115 | + | 1.05848i | ||||
\(115\) | −3.76881e6 | − | 6.52777e6i | −0.231080 | − | 0.400242i | ||||
\(116\) | 4.45104e6 | + | 7.70942e6i | 0.264764 | + | 0.458584i | ||||
\(117\) | 3.55918e6 | 0.205447 | ||||||||
\(118\) | −5.11193e6 | − | 8.85411e6i | −0.286416 | − | 0.496087i | ||||
\(119\) | 3.61815e7 | 1.96822 | ||||||||
\(120\) | −1.94772e7 | + | 3.37356e7i | −1.02895 | + | 1.78219i | ||||
\(121\) | −1.89037e7 | −0.970057 | ||||||||
\(122\) | 1.10927e7 | 0.553069 | ||||||||
\(123\) | 1.35952e7 | − | 2.35476e7i | 0.658746 | − | 1.14098i | ||||
\(124\) | −4.90327e6 | − | 8.49272e6i | −0.230946 | − | 0.400010i | ||||
\(125\) | 3.79352e7 | 1.73723 | ||||||||
\(126\) | −4.26662e6 | + | 7.39000e6i | −0.190015 | + | 0.329115i | ||||
\(127\) | −2.61996e6 | + | 4.53791e6i | −0.113496 | + | 0.196582i | −0.917178 | − | 0.398478i | \(-0.869538\pi\) |
0.803681 | + | 0.595060i | \(0.202872\pi\) | |||||||
\(128\) | 7.86149e6 | − | 1.36165e7i | 0.331337 | − | 0.573893i | ||||
\(129\) | −1.60486e7 | − | 2.77969e7i | −0.658222 | − | 1.14007i | ||||
\(130\) | −6.07886e6 | − | 1.05289e7i | −0.242672 | − | 0.420321i | ||||
\(131\) | 2.47225e7 | − | 4.28206e7i | 0.960822 | − | 1.66419i | 0.240379 | − | 0.970679i | \(-0.422728\pi\) |
0.720443 | − | 0.693514i | \(-0.243938\pi\) | |||||||
\(132\) | −1.74201e6 | + | 3.01726e6i | −0.0659239 | + | 0.114183i | ||||
\(133\) | −3.23096e7 | + | 5.59618e7i | −1.19083 | + | 2.06258i | ||||
\(134\) | 1.71668e7 | 0.616345 | ||||||||
\(135\) | −1.65561e7 | − | 2.86760e7i | −0.579148 | − | 1.00311i | ||||
\(136\) | 2.01493e7 | − | 3.48996e7i | 0.686869 | − | 1.18969i | ||||
\(137\) | 1.73408e7 | 0.576164 | 0.288082 | − | 0.957606i | \(-0.406982\pi\) | ||||
0.288082 | + | 0.957606i | \(0.406982\pi\) | |||||||
\(138\) | −5.98423e6 | −0.193835 | ||||||||
\(139\) | 1.94722e7 | − | 3.37269e7i | 0.614983 | − | 1.06518i | −0.375404 | − | 0.926861i | \(-0.622496\pi\) |
0.990387 | − | 0.138321i | \(-0.0441706\pi\) | |||||||
\(140\) | −5.05239e7 | −1.55614 | ||||||||
\(141\) | 3.35000e7 | + | 5.80238e7i | 1.00642 | + | 1.74317i | ||||
\(142\) | −1.89977e6 | −0.0556789 | ||||||||
\(143\) | −1.40103e6 | − | 2.42666e6i | −0.0400656 | − | 0.0693956i | ||||
\(144\) | −288430. | − | 499575.i | −0.00804955 | − | 0.0139422i | ||||
\(145\) | −2.65585e7 | − | 4.60006e7i | −0.723461 | − | 1.25307i | ||||
\(146\) | −4.58862e6 | + | 7.94772e6i | −0.122024 | + | 0.211353i | ||||
\(147\) | −4.65300e7 | −1.20816 | ||||||||
\(148\) | −2.14730e7 | − | 1.28213e7i | −0.544474 | − | 0.325098i | ||||
\(149\) | −6.42776e7 | −1.59187 | −0.795935 | − | 0.605382i | \(-0.793020\pi\) | ||||
−0.795935 | + | 0.605382i | \(0.793020\pi\) | |||||||
\(150\) | 3.00789e7 | − | 5.20981e7i | 0.727683 | − | 1.26038i | ||||
\(151\) | 3.31042e7 | + | 5.73381e7i | 0.782462 | + | 1.35526i | 0.930503 | + | 0.366283i | \(0.119370\pi\) |
−0.148041 | + | 0.988981i | \(0.547297\pi\) | |||||||
\(152\) | 3.59861e7 | + | 6.23297e7i | 0.831155 | + | 1.43960i | ||||
\(153\) | −1.36584e7 | − | 2.36570e7i | −0.308304 | − | 0.533998i | ||||
\(154\) | 6.71801e6 | 0.148224 | ||||||||
\(155\) | 2.92569e7 | + | 5.06744e7i | 0.631055 | + | 1.09302i | ||||
\(156\) | 1.67305e7 | 0.352835 | ||||||||
\(157\) | 1.35915e7 | − | 2.35411e7i | 0.280296 | − | 0.485488i | −0.691161 | − | 0.722701i | \(-0.742901\pi\) |
0.971458 | + | 0.237213i | \(0.0762339\pi\) | |||||||
\(158\) | 2.95871e7 | 0.596764 | ||||||||
\(159\) | 2.40717e7 | 0.474916 | ||||||||
\(160\) | −4.53543e7 | + | 7.85560e7i | −0.875385 | + | 1.51621i | ||||
\(161\) | −1.00005e7 | − | 1.73213e7i | −0.188855 | − | 0.327107i | ||||
\(162\) | −4.08096e7 | −0.754153 | ||||||||
\(163\) | −4.23193e7 | + | 7.32992e7i | −0.765389 | + | 1.32569i | 0.174651 | + | 0.984630i | \(0.444120\pi\) |
−0.940041 | + | 0.341063i | \(0.889213\pi\) | |||||||
\(164\) | 1.96394e7 | − | 3.40165e7i | 0.347676 | − | 0.602193i | ||||
\(165\) | 1.03943e7 | − | 1.80034e7i | 0.180136 | − | 0.312004i | ||||
\(166\) | −2.89365e7 | − | 5.01195e7i | −0.490985 | − | 0.850411i | ||||
\(167\) | 2.90163e7 | + | 5.02577e7i | 0.482097 | + | 0.835016i | 0.999789 | − | 0.0205511i | \(-0.00654209\pi\) |
−0.517692 | + | 0.855567i | \(0.673209\pi\) | |||||||
\(168\) | −5.16824e7 | + | 8.95166e7i | −0.840931 | + | 1.45654i | ||||
\(169\) | 2.46464e7 | − | 4.26889e7i | 0.392781 | − | 0.680317i | ||||
\(170\) | −4.66552e7 | + | 8.08093e7i | −0.728332 | + | 1.26151i | ||||
\(171\) | 4.87869e7 | 0.746133 | ||||||||
\(172\) | −2.31835e7 | − | 4.01550e7i | −0.347399 | − | 0.601713i | ||||
\(173\) | −1.18024e6 | + | 2.04423e6i | −0.0173304 | + | 0.0300171i | −0.874561 | − | 0.484916i | \(-0.838850\pi\) |
0.857230 | + | 0.514933i | \(0.172183\pi\) | |||||||
\(174\) | −4.21704e7 | −0.606856 | ||||||||
\(175\) | 2.01063e8 | 2.83596 | ||||||||
\(176\) | −227074. | + | 393304.i | −0.00313959 | + | 0.00543793i | ||||
\(177\) | −8.39484e7 | −1.13790 | ||||||||
\(178\) | −643694. | − | 1.11491e6i | −0.00855479 | − | 0.0148173i | ||||
\(179\) | −3.81618e7 | −0.497328 | −0.248664 | − | 0.968590i | \(-0.579992\pi\) | ||||
−0.248664 | + | 0.968590i | \(0.579992\pi\) | |||||||
\(180\) | 1.90725e7 | + | 3.30346e7i | 0.243756 | + | 0.422197i | ||||
\(181\) | 3.36479e7 | + | 5.82799e7i | 0.421777 | + | 0.730539i | 0.996113 | − | 0.0880803i | \(-0.0280732\pi\) |
−0.574336 | + | 0.818619i | \(0.694740\pi\) | |||||||
\(182\) | −1.61301e7 | − | 2.79382e7i | −0.198330 | − | 0.343517i | ||||
\(183\) | 4.55414e7 | − | 7.88801e7i | 0.549323 | − | 0.951456i | ||||
\(184\) | −2.22768e7 | −0.263627 | ||||||||
\(185\) | 1.28125e8 | + | 7.65020e7i | 1.48776 | + | 0.888324i | ||||
\(186\) | 4.64550e7 | 0.529343 | ||||||||
\(187\) | −1.07529e7 | + | 1.86246e7i | −0.120249 | + | 0.208277i | ||||
\(188\) | 4.83936e7 | + | 8.38201e7i | 0.531172 | + | 0.920017i | ||||
\(189\) | −4.39312e7 | − | 7.60911e7i | −0.473322 | − | 0.819818i | ||||
\(190\) | −8.33248e7 | − | 1.44323e8i | −0.881327 | − | 1.52650i | ||||
\(191\) | −1.08732e8 | −1.12912 | −0.564560 | − | 0.825392i | \(-0.690954\pi\) | ||||
−0.564560 | + | 0.825392i | \(0.690954\pi\) | |||||||
\(192\) | 3.38695e7 | + | 5.86638e7i | 0.345346 | + | 0.598158i | ||||
\(193\) | −5.22908e7 | −0.523570 | −0.261785 | − | 0.965126i | \(-0.584311\pi\) | ||||
−0.261785 | + | 0.965126i | \(0.584311\pi\) | |||||||
\(194\) | −3.20069e7 | + | 5.54377e7i | −0.314730 | + | 0.545128i | ||||
\(195\) | −9.98274e7 | −0.964114 | ||||||||
\(196\) | −6.72165e7 | −0.637646 | ||||||||
\(197\) | 3.30823e7 | − | 5.73003e7i | 0.308293 | − | 0.533980i | −0.669696 | − | 0.742636i | \(-0.733576\pi\) |
0.977989 | + | 0.208656i | \(0.0669088\pi\) | |||||||
\(198\) | −2.53602e6 | − | 4.39251e6i | −0.0232180 | − | 0.0402147i | ||||
\(199\) | 8.30755e7 | 0.747286 | 0.373643 | − | 0.927572i | \(-0.378108\pi\) | ||||
0.373643 | + | 0.927572i | \(0.378108\pi\) | |||||||
\(200\) | 1.11971e8 | − | 1.93940e8i | 0.989694 | − | 1.71420i | ||||
\(201\) | 7.04788e7 | − | 1.22073e8i | 0.612170 | − | 1.06031i | ||||
\(202\) | −1.91147e7 | + | 3.31077e7i | −0.163169 | + | 0.282617i | ||||
\(203\) | −7.04723e7 | − | 1.22062e8i | −0.591265 | − | 1.02410i | ||||
\(204\) | −6.42032e7 | − | 1.11203e8i | −0.529482 | − | 0.917089i | ||||
\(205\) | −1.17185e8 | + | 2.02970e8i | −0.950018 | + | 1.64548i | ||||
\(206\) | 1.29893e7 | − | 2.24981e7i | 0.103526 | − | 0.179312i | ||||
\(207\) | −7.55025e6 | + | 1.30774e7i | −0.0591650 | + | 0.102477i | ||||
\(208\) | 2.18084e6 | 0.0168036 | ||||||||
\(209\) | −1.92044e7 | − | 3.32629e7i | −0.145508 | − | 0.252028i | ||||
\(210\) | 1.19669e8 | − | 2.07274e8i | 0.891694 | − | 1.54446i | ||||
\(211\) | 1.09494e8 | 0.802421 | 0.401210 | − | 0.915986i | \(-0.368590\pi\) | ||||
0.401210 | + | 0.915986i | \(0.368590\pi\) | |||||||
\(212\) | 3.47736e7 | 0.250654 | ||||||||
\(213\) | −7.79952e6 | + | 1.35092e7i | −0.0553018 | + | 0.0957856i | ||||
\(214\) | −5.16277e7 | −0.360110 | ||||||||
\(215\) | 1.38331e8 | + | 2.39597e8i | 0.949261 | + | 1.64417i | ||||
\(216\) | −9.78602e7 | −0.660721 | ||||||||
\(217\) | 7.76325e7 | + | 1.34463e8i | 0.515744 | + | 0.893295i | ||||
\(218\) | 4.38228e7 | + | 7.59032e7i | 0.286485 | + | 0.496207i | ||||
\(219\) | 3.76773e7 | + | 6.52590e7i | 0.242396 | + | 0.419842i | ||||
\(220\) | 1.50154e7 | − | 2.60074e7i | 0.0950728 | − | 0.164671i | ||||
\(221\) | 1.03272e8 | 0.643590 | ||||||||
\(222\) | 1.03459e8 | − | 5.77247e7i | 0.634651 | − | 0.354100i | ||||
\(223\) | −1.14235e8 | −0.689815 | −0.344908 | − | 0.938637i | \(-0.612090\pi\) | ||||
−0.344908 | + | 0.938637i | \(0.612090\pi\) | |||||||
\(224\) | −1.20347e8 | + | 2.08447e8i | −0.715429 | + | 1.23916i | ||||
\(225\) | −7.59004e7 | − | 1.31463e8i | −0.444227 | − | 0.769425i | ||||
\(226\) | 2.72050e7 | + | 4.71205e7i | 0.156772 | + | 0.271538i | ||||
\(227\) | 6.01218e6 | + | 1.04134e7i | 0.0341147 | + | 0.0590884i | 0.882579 | − | 0.470165i | \(-0.155806\pi\) |
−0.848464 | + | 0.529253i | \(0.822472\pi\) | |||||||
\(228\) | 2.29330e8 | 1.28141 | ||||||||
\(229\) | −9.31089e7 | − | 1.61269e8i | −0.512350 | − | 0.887417i | −0.999897 | − | 0.0143199i | \(-0.995442\pi\) |
0.487547 | − | 0.873097i | \(-0.337892\pi\) | |||||||
\(230\) | 5.15814e7 | 0.279541 | ||||||||
\(231\) | 2.75809e7 | − | 4.77716e7i | 0.147220 | − | 0.254993i | ||||
\(232\) | −1.56983e8 | −0.825361 | ||||||||
\(233\) | −1.80922e8 | −0.937011 | −0.468506 | − | 0.883461i | \(-0.655207\pi\) | ||||
−0.468506 | + | 0.883461i | \(0.655207\pi\) | |||||||
\(234\) | −1.21781e7 | + | 2.10931e7i | −0.0621332 | + | 0.107618i | ||||
\(235\) | −2.88755e8 | − | 5.00138e8i | −1.45142 | − | 2.51393i | ||||
\(236\) | −1.21270e8 | −0.600569 | ||||||||
\(237\) | 1.21470e8 | − | 2.10393e8i | 0.592722 | − | 1.02663i | ||||
\(238\) | −1.23799e8 | + | 2.14426e8i | −0.595246 | + | 1.03100i | ||||
\(239\) | 6.40118e7 | − | 1.10872e8i | 0.303296 | − | 0.525325i | −0.673584 | − | 0.739111i | \(-0.735246\pi\) |
0.976881 | + | 0.213786i | \(0.0685794\pi\) | |||||||
\(240\) | 8.08983e6 | + | 1.40120e7i | 0.0377746 | + | 0.0654276i | ||||
\(241\) | −1.51610e8 | − | 2.62596e8i | −0.697699 | − | 1.20845i | −0.969262 | − | 0.246030i | \(-0.920874\pi\) |
0.271563 | − | 0.962421i | \(-0.412460\pi\) | |||||||
\(242\) | 6.46807e7 | − | 1.12030e8i | 0.293374 | − | 0.508138i | ||||
\(243\) | −9.27851e7 | + | 1.60709e8i | −0.414817 | + | 0.718484i | ||||
\(244\) | 6.57884e7 | − | 1.13949e8i | 0.289924 | − | 0.502164i | ||||
\(245\) | 4.01068e8 | 1.74235 | ||||||||
\(246\) | 9.30347e7 | + | 1.61141e8i | 0.398448 | + | 0.690133i | ||||
\(247\) | −9.22203e7 | + | 1.59730e8i | −0.389392 | + | 0.674447i | ||||
\(248\) | 1.72933e8 | 0.719939 | ||||||||
\(249\) | −4.75197e8 | −1.95064 | ||||||||
\(250\) | −1.29799e8 | + | 2.24818e8i | −0.525389 | + | 0.910001i | ||||
\(251\) | 4.60583e7 | 0.183844 | 0.0919220 | − | 0.995766i | \(-0.470699\pi\) | ||||
0.0919220 | + | 0.995766i | \(0.470699\pi\) | |||||||
\(252\) | 5.06086e7 | + | 8.76566e7i | 0.199215 | + | 0.345051i | ||||
\(253\) | 1.18883e7 | 0.0461527 | ||||||||
\(254\) | −1.79289e7 | − | 3.10538e7i | −0.0686493 | − | 0.118904i | ||||
\(255\) | 3.83088e8 | + | 6.63528e8i | 1.44680 | + | 2.50593i | ||||
\(256\) | 1.30952e8 | + | 2.26816e8i | 0.487836 | + | 0.844957i | ||||
\(257\) | −3.02033e7 | + | 5.23137e7i | −0.110991 | + | 0.192242i | −0.916170 | − | 0.400789i | \(-0.868736\pi\) |
0.805179 | + | 0.593032i | \(0.202069\pi\) | |||||||
\(258\) | 2.19647e8 | 0.796262 | ||||||||
\(259\) | 3.39978e8 | + | 2.02996e8i | 1.21591 | + | 0.726004i | ||||
\(260\) | −1.44209e8 | −0.508845 | ||||||||
\(261\) | −5.32060e7 | + | 9.21554e7i | −0.185233 | + | 0.320833i | ||||
\(262\) | 1.69181e8 | + | 2.93030e8i | 0.581162 | + | 1.00660i | ||||
\(263\) | 2.33433e7 | + | 4.04317e7i | 0.0791255 | + | 0.137049i | 0.902873 | − | 0.429908i | \(-0.141454\pi\) |
−0.823747 | + | 0.566957i | \(0.808121\pi\) | |||||||
\(264\) | −3.07193e7 | − | 5.32075e7i | −0.102754 | − | 0.177975i | ||||
\(265\) | −2.07487e8 | −0.684906 | ||||||||
\(266\) | −2.21101e8 | − | 3.82958e8i | −0.720285 | − | 1.24757i | ||||
\(267\) | −1.05708e7 | −0.0339874 | ||||||||
\(268\) | 1.01812e8 | − | 1.76344e8i | 0.323094 | − | 0.559615i | ||||
\(269\) | −1.16989e8 | −0.366449 | −0.183224 | − | 0.983071i | \(-0.558653\pi\) | ||||
−0.183224 | + | 0.983071i | \(0.558653\pi\) | |||||||
\(270\) | 2.26593e8 | 0.700605 | ||||||||
\(271\) | 1.25232e8 | − | 2.16909e8i | 0.382229 | − | 0.662040i | −0.609152 | − | 0.793054i | \(-0.708490\pi\) |
0.991381 | + | 0.131014i | \(0.0418232\pi\) | |||||||
\(272\) | −8.36898e6 | − | 1.44955e7i | −0.0252163 | − | 0.0436759i | ||||
\(273\) | −2.64890e8 | −0.787945 | ||||||||
\(274\) | −5.93331e7 | + | 1.02768e8i | −0.174249 | + | 0.301808i | ||||
\(275\) | −5.97546e7 | + | 1.03498e8i | −0.173263 | + | 0.300101i | ||||
\(276\) | −3.54911e7 | + | 6.14723e7i | −0.101610 | + | 0.175994i | ||||
\(277\) | 2.59952e8 | + | 4.50250e8i | 0.734876 | + | 1.27284i | 0.954778 | + | 0.297321i | \(0.0960930\pi\) |
−0.219902 | + | 0.975522i | \(0.570574\pi\) | |||||||
\(278\) | 1.33252e8 | + | 2.30799e8i | 0.371978 | + | 0.644285i | ||||
\(279\) | 5.86118e7 | − | 1.01519e8i | 0.161574 | − | 0.279854i | ||||
\(280\) | 4.45479e8 | − | 7.71592e8i | 1.21276 | − | 2.10056i | ||||
\(281\) | −2.18219e8 | + | 3.77966e8i | −0.586705 | + | 1.01620i | 0.407955 | + | 0.913002i | \(0.366242\pi\) |
−0.994661 | + | 0.103201i | \(0.967091\pi\) | |||||||
\(282\) | −4.58494e8 | −1.21748 | ||||||||
\(283\) | −2.45360e8 | − | 4.24976e8i | −0.643504 | − | 1.11458i | −0.984645 | − | 0.174570i | \(-0.944146\pi\) |
0.341140 | − | 0.940012i | \(-0.389187\pi\) | |||||||
\(284\) | −1.12671e7 | + | 1.95151e7i | −0.0291875 | + | 0.0505542i | ||||
\(285\) | −1.36837e9 | −3.50143 | ||||||||
\(286\) | 1.91750e7 | 0.0484680 | ||||||||
\(287\) | −3.10947e8 | + | 5.38575e8i | −0.776425 | + | 1.34481i | ||||
\(288\) | 1.81721e8 | 0.448263 | ||||||||
\(289\) | −1.91137e8 | − | 3.31059e8i | −0.465803 | − | 0.806795i | ||||
\(290\) | 3.63490e8 | 0.875183 | ||||||||
\(291\) | 2.62810e8 | + | 4.55200e8i | 0.625197 | + | 1.08287i | ||||
\(292\) | 5.44280e7 | + | 9.42720e7i | 0.127933 | + | 0.221586i | ||||
\(293\) | −1.86926e8 | − | 3.23766e8i | −0.434144 | − | 0.751959i | 0.563081 | − | 0.826401i | \(-0.309616\pi\) |
−0.997225 | + | 0.0744421i | \(0.976282\pi\) | |||||||
\(294\) | 1.59207e8 | − | 2.75755e8i | 0.365382 | − | 0.632860i | ||||
\(295\) | 7.23597e8 | 1.64104 | ||||||||
\(296\) | 3.85136e8 | − | 2.14885e8i | 0.863164 | − | 0.481598i | ||||
\(297\) | 5.22242e7 | 0.115671 | ||||||||
\(298\) | 2.19932e8 | − | 3.80933e8i | 0.481428 | − | 0.833858i | ||||
\(299\) | −2.85440e7 | − | 4.94397e7i | −0.0617541 | − | 0.106961i | ||||
\(300\) | −3.56781e8 | − | 6.17963e8i | −0.762917 | − | 1.32141i | ||||
\(301\) | 3.67059e8 | + | 6.35765e8i | 0.775806 | + | 1.34374i | ||||
\(302\) | −4.53077e8 | −0.946558 | ||||||||
\(303\) | 1.56952e8 | + | 2.71848e8i | 0.324128 | + | 0.561407i | ||||
\(304\) | 2.98935e7 | 0.0610266 | ||||||||
\(305\) | −3.92546e8 | + | 6.79910e8i | −0.792212 | + | 1.37215i | ||||
\(306\) | 1.86934e8 | 0.372960 | ||||||||
\(307\) | −4.94614e8 | −0.975623 | −0.487812 | − | 0.872949i | \(-0.662205\pi\) | ||||
−0.487812 | + | 0.872949i | \(0.662205\pi\) | |||||||
\(308\) | 3.98429e7 | − | 6.90100e7i | 0.0777005 | − | 0.134581i | ||||
\(309\) | −1.06655e8 | − | 1.84732e8i | −0.205650 | − | 0.356195i | ||||
\(310\) | −4.00421e8 | −0.763398 | ||||||||
\(311\) | 4.66752e8 | − | 8.08437e8i | 0.879882 | − | 1.52400i | 0.0284123 | − | 0.999596i | \(-0.490955\pi\) |
0.851470 | − | 0.524404i | \(-0.175712\pi\) | |||||||
\(312\) | −1.47516e8 | + | 2.55505e8i | −0.274978 | + | 0.476275i | ||||
\(313\) | 4.50222e8 | − | 7.79807e8i | 0.829891 | − | 1.43741i | −0.0682315 | − | 0.997670i | \(-0.521736\pi\) |
0.898123 | − | 0.439745i | \(-0.144931\pi\) | |||||||
\(314\) | 9.30091e7 | + | 1.61096e8i | 0.169540 | + | 0.293651i | ||||
\(315\) | −3.01971e8 | − | 5.23030e8i | −0.544351 | − | 0.942843i | ||||
\(316\) | 1.75474e8 | − | 3.03930e8i | 0.312830 | − | 0.541837i | ||||
\(317\) | 3.29056e8 | − | 5.69942e8i | 0.580180 | − | 1.00490i | −0.415277 | − | 0.909695i | \(-0.636315\pi\) |
0.995458 | − | 0.0952068i | \(-0.0303513\pi\) | |||||||
\(318\) | −8.23637e7 | + | 1.42658e8i | −0.143629 | + | 0.248772i | ||||
\(319\) | 8.37756e7 | 0.144494 | ||||||||
\(320\) | −2.91940e8 | − | 5.05655e8i | −0.498045 | − | 0.862639i | ||||
\(321\) | −2.11958e8 | + | 3.67123e8i | −0.357670 | + | 0.619503i | ||||
\(322\) | 1.36870e8 | 0.228461 | ||||||||
\(323\) | 1.41558e9 | 2.33736 | ||||||||
\(324\) | −2.42032e8 | + | 4.19211e8i | −0.395335 | + | 0.684740i | ||||
\(325\) | 5.73889e8 | 0.927334 | ||||||||
\(326\) | −2.89600e8 | − | 5.01601e8i | −0.462952 | − | 0.801857i | ||||
\(327\) | 7.19660e8 | 1.13818 | ||||||||
\(328\) | 3.46329e8 | + | 5.99860e8i | 0.541914 | + | 0.938623i | ||||
\(329\) | −7.66205e8 | − | 1.32711e9i | −1.18620 | − | 2.05457i | ||||
\(330\) | 7.11299e7 | + | 1.23201e8i | 0.108957 | + | 0.188718i | ||||
\(331\) | −2.49068e8 | + | 4.31399e8i | −0.377503 | + | 0.653854i | −0.990698 | − | 0.136077i | \(-0.956551\pi\) |
0.613195 | + | 0.789931i | \(0.289884\pi\) | |||||||
\(332\) | −6.86462e8 | −1.02952 | ||||||||
\(333\) | 4.38730e6 | − | 2.98922e8i | 0.00651093 | − | 0.443611i | ||||
\(334\) | −3.97128e8 | −0.583201 | ||||||||
\(335\) | −6.07495e8 | + | 1.05221e9i | −0.882847 | + | 1.52914i | ||||
\(336\) | 2.14662e7 | + | 3.71805e7i | 0.0308722 | + | 0.0534722i | ||||
\(337\) | −3.96098e8 | − | 6.86062e8i | −0.563765 | − | 0.976469i | −0.997163 | − | 0.0752669i | \(-0.976019\pi\) |
0.433399 | − | 0.901202i | \(-0.357314\pi\) | |||||||
\(338\) | 1.68660e8 | + | 2.92128e8i | 0.237577 | + | 0.411496i | ||||
\(339\) | 4.46763e8 | 0.622842 | ||||||||
\(340\) | 5.53402e8 | + | 9.58521e8i | 0.763598 | + | 1.32259i | ||||
\(341\) | −9.22874e7 | −0.126038 | ||||||||
\(342\) | −1.66929e8 | + | 2.89129e8i | −0.225653 | + | 0.390842i | ||||
\(343\) | 5.84155e6 | 0.00781625 | ||||||||
\(344\) | 8.17653e8 | 1.08297 | ||||||||
\(345\) | 2.11768e8 | − | 3.66793e8i | 0.277648 | − | 0.480900i | ||||
\(346\) | −8.07659e6 | − | 1.39891e7i | −0.0104824 | − | 0.0181561i | ||||
\(347\) | 3.78726e8 | 0.486599 | 0.243300 | − | 0.969951i | \(-0.421770\pi\) | ||||
0.243300 | + | 0.969951i | \(0.421770\pi\) | |||||||
\(348\) | −2.50102e8 | + | 4.33190e8i | −0.318120 | + | 0.551000i | ||||
\(349\) | 3.01062e8 | − | 5.21455e8i | 0.379112 | − | 0.656641i | −0.611821 | − | 0.790996i | \(-0.709563\pi\) |
0.990933 | + | 0.134355i | \(0.0428962\pi\) | |||||||
\(350\) | −6.87957e8 | + | 1.19158e9i | −0.857676 | + | 1.48554i | ||||
\(351\) | −1.25392e8 | − | 2.17185e8i | −0.154772 | − | 0.268074i | ||||
\(352\) | −7.15325e7 | − | 1.23898e8i | −0.0874186 | − | 0.151414i | ||||
\(353\) | 3.23389e8 | − | 5.60126e8i | 0.391303 | − | 0.677757i | −0.601319 | − | 0.799009i | \(-0.705358\pi\) |
0.992622 | + | 0.121252i | \(0.0386911\pi\) | |||||||
\(354\) | 2.87238e8 | − | 4.97510e8i | 0.344136 | − | 0.596061i | ||||
\(355\) | 6.72283e7 | − | 1.16443e8i | 0.0797541 | − | 0.138138i | ||||
\(356\) | −1.52704e7 | −0.0179380 | ||||||||
\(357\) | 1.01652e9 | + | 1.76066e9i | 1.18243 | + | 2.04803i | ||||
\(358\) | 1.30574e8 | − | 2.26161e8i | 0.150407 | − | 0.260512i | ||||
\(359\) | −5.61567e8 | −0.640576 | −0.320288 | − | 0.947320i | \(-0.603780\pi\) | ||||
−0.320288 | + | 0.947320i | \(0.603780\pi\) | |||||||
\(360\) | −6.72665e8 | −0.759872 | ||||||||
\(361\) | −8.17158e8 | + | 1.41536e9i | −0.914178 | + | 1.58340i | ||||
\(362\) | −4.60518e8 | −0.510231 | ||||||||
\(363\) | −5.31095e8 | − | 9.19884e8i | −0.582773 | − | 1.00939i | ||||
\(364\) | −3.82655e8 | −0.415865 | ||||||||
\(365\) | −3.24761e8 | − | 5.62503e8i | −0.349574 | − | 0.605480i | ||||
\(366\) | 3.11649e8 | + | 5.39792e8i | 0.332263 | + | 0.575496i | ||||
\(367\) | −2.55568e8 | − | 4.42657e8i | −0.269883 | − | 0.467451i | 0.698948 | − | 0.715172i | \(-0.253652\pi\) |
−0.968831 | + | 0.247721i | \(0.920318\pi\) | |||||||
\(368\) | −4.62631e6 | + | 8.01301e6i | −0.00483913 | + | 0.00838162i | ||||
\(369\) | 4.69524e8 | 0.486480 | ||||||||
\(370\) | −8.91773e8 | + | 4.97561e8i | −0.915268 | + | 0.510670i | ||||
\(371\) | −5.50563e8 | −0.559755 | ||||||||
\(372\) | 2.75514e8 | − | 4.77203e8i | 0.277487 | − | 0.480622i | ||||
\(373\) | 6.28942e8 | + | 1.08936e9i | 0.627523 | + | 1.08690i | 0.988047 | + | 0.154152i | \(0.0492646\pi\) |
−0.360524 | + | 0.932750i | \(0.617402\pi\) | |||||||
\(374\) | −7.35843e7 | − | 1.27452e8i | −0.0727335 | − | 0.125978i | ||||
\(375\) | 1.06578e9 | + | 1.84599e9i | 1.04366 | + | 1.80767i | ||||
\(376\) | −1.70678e9 | −1.65585 | ||||||||
\(377\) | −2.01147e8 | − | 3.48397e8i | −0.193339 | − | 0.334873i | ||||
\(378\) | 6.01259e8 | 0.572586 | ||||||||
\(379\) | 2.80718e8 | − | 4.86219e8i | 0.264871 | − | 0.458769i | −0.702659 | − | 0.711527i | \(-0.748004\pi\) |
0.967530 | + | 0.252757i | \(0.0813374\pi\) | |||||||
\(380\) | −1.97672e9 | −1.84800 | ||||||||
\(381\) | −2.94430e8 | −0.272737 | ||||||||
\(382\) | 3.72037e8 | − | 6.44387e8i | 0.341479 | − | 0.591459i | ||||
\(383\) | 6.97785e8 | + | 1.20860e9i | 0.634638 | + | 1.09923i | 0.986592 | + | 0.163208i | \(0.0521841\pi\) |
−0.351954 | + | 0.936017i | \(0.614483\pi\) | |||||||
\(384\) | 8.83470e8 | 0.796219 | ||||||||
\(385\) | −2.37735e8 | + | 4.11769e8i | −0.212315 | + | 0.367740i | ||||
\(386\) | 1.78918e8 | − | 3.09895e8i | 0.158343 | − | 0.274258i | ||||
\(387\) | 2.77126e8 | − | 4.79997e8i | 0.243046 | − | 0.420969i | ||||
\(388\) | 3.79651e8 | + | 6.57575e8i | 0.329969 | + | 0.571524i | ||||
\(389\) | −9.09105e8 | − | 1.57462e9i | −0.783052 | − | 1.35629i | −0.930156 | − | 0.367164i | \(-0.880329\pi\) |
0.147105 | − | 0.989121i | \(-0.453005\pi\) | |||||||
\(390\) | 3.41569e8 | − | 5.91615e8i | 0.291576 | − | 0.505025i | ||||
\(391\) | −2.19075e8 | + | 3.79450e8i | −0.185342 | + | 0.321023i | ||||
\(392\) | 5.92661e8 | − | 1.02652e9i | 0.496941 | − | 0.860728i | ||||
\(393\) | 2.77830e9 | 2.30890 | ||||||||
\(394\) | 2.26389e8 | + | 3.92117e8i | 0.186474 | + | 0.322982i | ||||
\(395\) | −1.04702e9 | + | 1.81349e9i | −0.854801 | + | 1.48056i | ||||
\(396\) | −6.01621e7 | −0.0486844 | ||||||||
\(397\) | −1.60791e9 | −1.28972 | −0.644858 | − | 0.764302i | \(-0.723084\pi\) | ||||
−0.644858 | + | 0.764302i | \(0.723084\pi\) | |||||||
\(398\) | −2.84251e8 | + | 4.92337e8i | −0.226001 | + | 0.391446i | ||||
\(399\) | −3.63093e9 | −2.86163 | ||||||||
\(400\) | −4.65069e7 | − | 8.05524e7i | −0.0363336 | − | 0.0629316i | ||||
\(401\) | 1.07221e9 | 0.830373 | 0.415187 | − | 0.909736i | \(-0.363716\pi\) | ||||
0.415187 | + | 0.909736i | \(0.363716\pi\) | |||||||
\(402\) | 4.82300e8 | + | 8.35368e8i | 0.370276 | + | 0.641337i | ||||
\(403\) | 2.21584e8 | + | 3.83795e8i | 0.168644 | + | 0.292100i | ||||
\(404\) | 2.26730e8 | + | 3.92707e8i | 0.171070 | + | 0.296302i | ||||
\(405\) | 1.44416e9 | − | 2.50135e9i | 1.08024 | − | 1.87104i | ||||
\(406\) | 9.64512e8 | 0.715264 | ||||||||
\(407\) | −2.05532e8 | + | 1.14676e8i | −0.151112 | + | 0.0843123i | ||||
\(408\) | 2.26437e9 | 1.65058 | ||||||||
\(409\) | −2.37270e8 | + | 4.10963e8i | −0.171479 | + | 0.297010i | −0.938937 | − | 0.344089i | \(-0.888188\pi\) |
0.767458 | + | 0.641099i | \(0.221521\pi\) | |||||||
\(410\) | −8.01917e8 | − | 1.38896e9i | −0.574627 | − | 0.995283i | ||||
\(411\) | 4.87186e8 | + | 8.43831e8i | 0.346137 | + | 0.599527i | ||||
\(412\) | −1.54072e8 | − | 2.66861e8i | −0.108539 | − | 0.187995i | ||||
\(413\) | 1.92005e9 | 1.34118 | ||||||||
\(414\) | −5.16678e7 | − | 8.94913e7i | −0.0357865 | − | 0.0619840i | ||||
\(415\) | 4.09599e9 | 2.81313 | ||||||||
\(416\) | −3.43502e8 | + | 5.94964e8i | −0.233939 | + | 0.405195i | ||||
\(417\) | 2.18827e9 | 1.47783 | ||||||||
\(418\) | 2.62839e8 | 0.176024 | ||||||||
\(419\) | −5.91372e8 | + | 1.02429e9i | −0.392746 | + | 0.680256i | −0.992811 | − | 0.119696i | \(-0.961808\pi\) |
0.600065 | + | 0.799951i | \(0.295141\pi\) | |||||||
\(420\) | −1.41946e9 | − | 2.45858e9i | −0.934869 | − | 1.61924i | ||||
\(421\) | −2.88086e8 | −0.188163 | −0.0940817 | − | 0.995564i | \(-0.529991\pi\) | ||||
−0.0940817 | + | 0.995564i | \(0.529991\pi\) | |||||||
\(422\) | −3.74645e8 | + | 6.48904e8i | −0.242676 | + | 0.420326i | ||||
\(423\) | −5.78478e8 | + | 1.00195e9i | −0.371617 | + | 0.643659i | ||||
\(424\) | −3.06606e8 | + | 5.31056e8i | −0.195344 | + | 0.338345i | ||||
\(425\) | −2.20230e9 | − | 3.81450e9i | −1.39160 | − | 2.41033i | ||||
\(426\) | −5.33737e7 | − | 9.24459e7i | −0.0334498 | − | 0.0579367i | ||||
\(427\) | −1.04161e9 | + | 1.80413e9i | −0.647454 | + | 1.12142i | ||||
\(428\) | −3.06191e8 | + | 5.30339e8i | −0.188773 | + | 0.326964i | ||||
\(429\) | 7.87235e7 | − | 1.36353e8i | 0.0481397 | − | 0.0833805i | ||||
\(430\) | −1.89326e9 | −1.14834 | ||||||||
\(431\) | −7.84190e8 | − | 1.35826e9i | −0.471792 | − | 0.817168i | 0.527687 | − | 0.849439i | \(-0.323059\pi\) |
−0.999479 | + | 0.0322709i | \(0.989726\pi\) | |||||||
\(432\) | −2.03230e7 | + | 3.52005e7i | −0.0121282 | + | 0.0210066i | ||||
\(433\) | 1.87817e9 | 1.11180 | 0.555901 | − | 0.831248i | \(-0.312373\pi\) | ||||
0.555901 | + | 0.831248i | \(0.312373\pi\) | |||||||
\(434\) | −1.06251e9 | −0.623905 | ||||||||
\(435\) | 1.49231e9 | − | 2.58476e9i | 0.869255 | − | 1.50559i | ||||
\(436\) | 1.03961e9 | 0.600713 | ||||||||
\(437\) | −3.91262e8 | − | 6.77686e8i | −0.224276 | − | 0.388457i | ||||
\(438\) | −5.15666e8 | −0.293231 | ||||||||
\(439\) | −1.22237e9 | − | 2.11720e9i | −0.689565 | − | 1.19436i | −0.971979 | − | 0.235069i | \(-0.924468\pi\) |
0.282413 | − | 0.959293i | \(-0.408865\pi\) | |||||||
\(440\) | 2.64787e8 | + | 4.58624e8i | 0.148188 | + | 0.256668i | ||||
\(441\) | −4.01740e8 | − | 6.95834e8i | −0.223054 | − | 0.386341i | ||||
\(442\) | −3.53355e8 | + | 6.12029e8i | −0.194641 | + | 0.337127i | ||||
\(443\) | −2.98752e9 | −1.63267 | −0.816335 | − | 0.577579i | \(-0.803998\pi\) | ||||
−0.816335 | + | 0.577579i | \(0.803998\pi\) | |||||||
\(444\) | 2.06232e7 | − | 1.40513e9i | 0.0111819 | − | 0.761859i | ||||
\(445\) | 9.11154e7 | 0.0490153 | ||||||||
\(446\) | 3.90867e8 | − | 6.77001e8i | 0.208620 | − | 0.361341i | ||||
\(447\) | −1.80587e9 | − | 3.12786e9i | −0.956335 | − | 1.65642i | ||||
\(448\) | −7.74657e8 | − | 1.34174e9i | −0.407039 | − | 0.705012i | ||||
\(449\) | −1.26672e9 | − | 2.19402e9i | −0.660417 | − | 1.14388i | −0.980506 | − | 0.196489i | \(-0.937046\pi\) |
0.320089 | − | 0.947388i | \(-0.396287\pi\) | |||||||
\(450\) | 1.03880e9 | 0.537390 | ||||||||
\(451\) | −1.84823e8 | − | 3.20122e8i | −0.0948718 | − | 0.164323i | ||||
\(452\) | 6.45386e8 | 0.328727 | ||||||||
\(453\) | −1.86011e9 | + | 3.22181e9i | −0.940147 | + | 1.62838i | ||||
\(454\) | −8.22851e7 | −0.0412692 | ||||||||
\(455\) | 2.28323e9 | 1.13634 | ||||||||
\(456\) | −2.02205e9 | + | 3.50229e9i | −0.998652 | + | 1.72972i | ||||
\(457\) | 1.25847e9 | + | 2.17973e9i | 0.616787 | + | 1.06831i | 0.990068 | + | 0.140588i | \(0.0448993\pi\) |
−0.373281 | + | 0.927718i | \(0.621767\pi\) | |||||||
\(458\) | 1.27432e9 | 0.619799 | ||||||||
\(459\) | −9.62381e8 | + | 1.66689e9i | −0.464518 | + | 0.804569i | ||||
\(460\) | 3.05917e8 | − | 5.29863e8i | 0.146538 | − | 0.253812i | ||||
\(461\) | −6.01491e7 | + | 1.04181e8i | −0.0285941 | + | 0.0495263i | −0.879968 | − | 0.475032i | \(-0.842436\pi\) |
0.851374 | + | 0.524559i | \(0.175770\pi\) | |||||||
\(462\) | 1.88742e8 | + | 3.26910e8i | 0.0890473 | + | 0.154234i | ||||
\(463\) | −3.69961e8 | − | 6.40792e8i | −0.173230 | − | 0.300043i | 0.766317 | − | 0.642462i | \(-0.222087\pi\) |
−0.939547 | + | 0.342419i | \(0.888754\pi\) | |||||||
\(464\) | −3.26012e7 | + | 5.64670e7i | −0.0151503 | + | 0.0262411i | ||||
\(465\) | −1.64394e9 | + | 2.84738e9i | −0.758227 | + | 1.31329i | ||||
\(466\) | 6.19041e8 | − | 1.07221e9i | 0.283380 | − | 0.490828i | ||||
\(467\) | 2.66094e9 | 1.20900 | 0.604500 | − | 0.796605i | \(-0.293373\pi\) | ||||
0.604500 | + | 0.796605i | \(0.293373\pi\) | |||||||
\(468\) | 1.44451e8 | + | 2.50196e8i | 0.0651417 | + | 0.112829i | ||||
\(469\) | −1.61197e9 | + | 2.79202e9i | −0.721528 | + | 1.24972i | ||||
\(470\) | 3.95201e9 | 1.75580 | ||||||||
\(471\) | 1.52740e9 | 0.673566 | ||||||||
\(472\) | 1.06926e9 | − | 1.85202e9i | 0.468046 | − | 0.810679i | ||||
\(473\) | −4.36350e8 | −0.189592 | ||||||||
\(474\) | 8.31246e8 | + | 1.43976e9i | 0.358513 | + | 0.620963i | ||||
\(475\) | 7.86648e9 | 3.36785 | ||||||||
\(476\) | 1.46844e9 | + | 2.54341e9i | 0.624068 | + | 1.08092i | ||||
\(477\) | 2.07835e8 | + | 3.59981e8i | 0.0876807 | + | 0.151867i | ||||
\(478\) | 4.38045e8 | + | 7.58716e8i | 0.183451 | + | 0.317747i | ||||
\(479\) | −1.96349e8 | + | 3.40086e8i | −0.0816307 | + | 0.141388i | −0.903951 | − | 0.427637i | \(-0.859346\pi\) |
0.822320 | + | 0.569026i | \(0.192679\pi\) | |||||||
\(480\) | −5.09689e9 | −2.10359 | ||||||||
\(481\) | 9.70389e8 | + | 5.79407e8i | 0.397593 | + | 0.237397i | ||||
\(482\) | 2.07499e9 | 0.844019 | ||||||||
\(483\) | 5.61922e8 | − | 9.73278e8i | 0.226914 | − | 0.393027i | ||||
\(484\) | −7.67211e8 | − | 1.32885e9i | −0.307579 | − | 0.532742i | ||||
\(485\) | −2.26530e9 | − | 3.92362e9i | −0.901634 | − | 1.56168i | ||||
\(486\) | −6.34947e8 | − | 1.09976e9i | −0.250906 | − | 0.434581i | ||||
\(487\) | −2.10207e9 | −0.824701 | −0.412350 | − | 0.911025i | \(-0.635292\pi\) | ||||
−0.412350 | + | 0.911025i | \(0.635292\pi\) | |||||||
\(488\) | 1.16014e9 | + | 2.00942e9i | 0.451898 | + | 0.782710i | ||||
\(489\) | −4.75582e9 | −1.83927 | ||||||||
\(490\) | −1.37229e9 | + | 2.37688e9i | −0.526939 | + | 0.912685i | ||||
\(491\) | 9.44846e7 | 0.0360227 | 0.0180113 | − | 0.999838i | \(-0.494267\pi\) | ||||
0.0180113 | + | 0.999838i | \(0.494267\pi\) | |||||||
\(492\) | 2.20707e9 | 0.835483 | ||||||||
\(493\) | −1.54381e9 | + | 2.67395e9i | −0.580268 | + | 1.00505i | ||||
\(494\) | −6.31082e8 | − | 1.09307e9i | −0.235527 | − | 0.407945i | ||||
\(495\) | 3.58975e8 | 0.133029 | ||||||||
\(496\) | 3.59136e7 | − | 6.22042e7i | 0.0132152 | − | 0.0228894i | ||||
\(497\) | 1.78389e8 | − | 3.08979e8i | 0.0651809 | − | 0.112897i | ||||
\(498\) | 1.62593e9 | − | 2.81620e9i | 0.589930 | − | 1.02179i | ||||
\(499\) | −2.50813e8 | − | 4.34421e8i | −0.0903646 | − | 0.156516i | 0.817300 | − | 0.576212i | \(-0.195470\pi\) |
−0.907665 | + | 0.419696i | \(0.862137\pi\) | |||||||
\(500\) | 1.53961e9 | + | 2.66669e9i | 0.550829 | + | 0.954063i | ||||
\(501\) | −1.63042e9 | + | 2.82396e9i | −0.579250 | + | 1.00329i | ||||
\(502\) | −1.57593e8 | + | 2.72959e8i | −0.0555998 | + | 0.0963017i | ||||
\(503\) | −2.62457e9 | + | 4.54588e9i | −0.919538 | + | 1.59269i | −0.119419 | + | 0.992844i | \(0.538103\pi\) |
−0.800119 | + | 0.599842i | \(0.795230\pi\) | |||||||
\(504\) | −1.78490e9 | −0.621023 | ||||||||
\(505\) | −1.35285e9 | − | 2.34321e9i | −0.467445 | − | 0.809638i | ||||
\(506\) | −4.06769e7 | + | 7.04544e7i | −0.0139579 | + | 0.0241758i | ||||
\(507\) | 2.76975e9 | 0.943872 | ||||||||
\(508\) | −4.25329e8 | −0.143947 | ||||||||
\(509\) | 1.56106e9 | − | 2.70384e9i | 0.524696 | − | 0.908800i | −0.474890 | − | 0.880045i | \(-0.657512\pi\) |
0.999586 | − | 0.0287555i | \(-0.00915441\pi\) | |||||||
\(510\) | −5.24309e9 | −1.75022 | ||||||||
\(511\) | −8.61746e8 | − | 1.49259e9i | −0.285697 | − | 0.494842i | ||||
\(512\) | 2.20276e8 | 0.0725307 | ||||||||
\(513\) | −1.71878e9 | − | 2.97702e9i | −0.562096 | − | 0.973578i | ||||
\(514\) | −2.06687e8 | − | 3.57993e8i | −0.0671340 | − | 0.116280i | ||||
\(515\) | 9.19320e8 | + | 1.59231e9i | 0.296580 | + | 0.513691i | ||||
\(516\) | 1.30267e9 | − | 2.25630e9i | 0.417409 | − | 0.722973i | ||||
\(517\) | 9.10844e8 | 0.289886 | ||||||||
\(518\) | −2.36630e9 | + | 1.32027e9i | −0.748025 | + | 0.417357i | ||||
\(519\) | −1.32634e8 | −0.0416457 | ||||||||
\(520\) | 1.27152e9 | − | 2.20233e9i | 0.396562 | − | 0.686865i | ||||
\(521\) | 1.89241e9 | + | 3.27775e9i | 0.586251 | + | 1.01542i | 0.994718 | + | 0.102643i | \(0.0327300\pi\) |
−0.408467 | + | 0.912773i | \(0.633937\pi\) | |||||||
\(522\) | −3.64099e8 | − | 6.30638e8i | −0.112040 | − | 0.194059i | ||||
\(523\) | −1.35922e8 | − | 2.35425e8i | −0.0415466 | − | 0.0719608i | 0.844504 | − | 0.535549i | \(-0.179895\pi\) |
−0.886051 | + | 0.463588i | \(0.846562\pi\) | |||||||
\(524\) | 4.01349e9 | 1.21860 | ||||||||
\(525\) | 5.64884e9 | + | 9.78408e9i | 1.70373 | + | 2.95095i | ||||
\(526\) | −3.19485e8 | −0.0957195 | ||||||||
\(527\) | 1.70066e9 | − | 2.94563e9i | 0.506151 | − | 0.876680i | ||||
\(528\) | −2.55184e7 | −0.00754458 | ||||||||
\(529\) | −3.16262e9 | −0.928864 | ||||||||
\(530\) | 7.09938e8 | − | 1.22965e9i | 0.207136 | − | 0.358769i | ||||
\(531\) | −7.24809e8 | − | 1.25541e9i | −0.210084 | − | 0.363876i | ||||
\(532\) | −5.24518e9 | −1.51032 | ||||||||
\(533\) | −8.87527e8 | + | 1.53724e9i | −0.253884 | + | 0.439741i | ||||
\(534\) | 3.61690e7 | − | 6.26465e7i | 0.0102788 | − | 0.0178034i | ||||
\(535\) | 1.82698e9 | − | 3.16443e9i | 0.515818 | − | 0.893423i | ||||
\(536\) | 1.79540e9 | + | 3.10972e9i | 0.503599 | + | 0.872258i | ||||
\(537\) | −1.07215e9 | − | 1.85702e9i | −0.298776 | − | 0.517495i | ||||
\(538\) | 4.00290e8 | − | 6.93323e8i | 0.110825 | − | 0.191954i | ||||
\(539\) | −3.16280e8 | + | 5.47814e8i | −0.0869984 | + | 0.150686i | ||||
\(540\) | 1.34387e9 | − | 2.32765e9i | 0.367264 | − | 0.636120i | ||||
\(541\) | 3.69195e9 | 1.00246 | 0.501228 | − | 0.865315i | \(-0.332882\pi\) | ||||
0.501228 | + | 0.865315i | \(0.332882\pi\) | |||||||
\(542\) | 8.56989e8 | + | 1.48435e9i | 0.231195 | + | 0.400441i | ||||
\(543\) | −1.89066e9 | + | 3.27473e9i | −0.506775 | + | 0.877760i | ||||
\(544\) | 5.27277e9 | 1.40424 | ||||||||
\(545\) | −6.20314e9 | −1.64144 | ||||||||
\(546\) | 9.06346e8 | − | 1.56984e9i | 0.238298 | − | 0.412744i | ||||
\(547\) | −3.47464e9 | −0.907725 | −0.453863 | − | 0.891072i | \(-0.649954\pi\) | ||||
−0.453863 | + | 0.891072i | \(0.649954\pi\) | |||||||
\(548\) | 7.03781e8 | + | 1.21898e9i | 0.182686 | + | 0.316421i | ||||
\(549\) | 1.57282e9 | 0.405672 | ||||||||
\(550\) | −4.08912e8 | − | 7.08257e8i | −0.104800 | − | 0.181519i | ||||
\(551\) | −2.75719e9 | − | 4.77559e9i | −0.702160 | − | 1.21618i | ||||
\(552\) | −6.25863e8 | − | 1.08403e9i | −0.158377 | − | 0.274317i | ||||
\(553\) | −2.77824e9 | + | 4.81206e9i | −0.698606 | + | 1.21002i | ||||
\(554\) | −3.55781e9 | −0.888992 | ||||||||
\(555\) | −1.23054e8 | + | 8.38411e9i | −0.0305543 | + | 2.08176i | ||||
\(556\) | 3.16114e9 | 0.779978 | ||||||||
\(557\) | 3.73383e9 | − | 6.46718e9i | 0.915507 | − | 1.58570i | 0.109348 | − | 0.994003i | \(-0.465124\pi\) |
0.806158 | − | 0.591700i | \(-0.201543\pi\) | |||||||
\(558\) | 4.01092e8 | + | 6.94712e8i | 0.0977292 | + | 0.169272i | ||||
\(559\) | 1.04769e9 | + | 1.81465e9i | 0.253682 | + | 0.439390i | ||||
\(560\) | −1.85029e8 | − | 3.20479e8i | −0.0445227 | − | 0.0771156i | ||||
\(561\) | −1.20841e9 | −0.288963 | ||||||||
\(562\) | −1.49331e9 | − | 2.58649e9i | −0.354874 | − | 0.614659i | ||||
\(563\) | 2.51431e9 | 0.593798 | 0.296899 | − | 0.954909i | \(-0.404048\pi\) | ||||
0.296899 | + | 0.954909i | \(0.404048\pi\) | |||||||
\(564\) | −2.71922e9 | + | 4.70983e9i | −0.638216 | + | 1.10542i | ||||
\(565\) | −3.85089e9 | −0.898238 | ||||||||
\(566\) | 3.35809e9 | 0.778458 | ||||||||
\(567\) | 3.83204e9 | − | 6.63729e9i | 0.882855 | − | 1.52915i | ||||
\(568\) | −1.98688e8 | − | 3.44137e8i | −0.0454938 | − | 0.0787975i | ||||
\(569\) | −4.61714e9 | −1.05070 | −0.525352 | − | 0.850885i | \(-0.676066\pi\) | ||||
−0.525352 | + | 0.850885i | \(0.676066\pi\) | |||||||
\(570\) | 4.68200e9 | − | 8.10946e9i | 1.05893 | − | 1.83413i | ||||
\(571\) | 1.41357e9 | − | 2.44838e9i | 0.317754 | − | 0.550366i | −0.662265 | − | 0.749270i | \(-0.730405\pi\) |
0.980019 | + | 0.198903i | \(0.0637380\pi\) | |||||||
\(572\) | 1.13723e8 | − | 1.96973e8i | 0.0254074 | − | 0.0440069i | ||||
\(573\) | −3.05481e9 | − | 5.29108e9i | −0.678332 | − | 1.17491i | ||||
\(574\) | −2.12787e9 | − | 3.68558e9i | −0.469627 | − | 0.813418i | ||||
\(575\) | −1.21742e9 | + | 2.10863e9i | −0.267056 | + | 0.462554i | ||||
\(576\) | −5.84859e8 | + | 1.01300e9i | −0.127518 | + | 0.220868i | ||||
\(577\) | −1.81257e9 | + | 3.13946e9i | −0.392806 | + | 0.680360i | −0.992818 | − | 0.119630i | \(-0.961829\pi\) |
0.600012 | + | 0.799991i | \(0.295162\pi\) | |||||||
\(578\) | 2.61598e9 | 0.563490 | ||||||||
\(579\) | −1.46910e9 | − | 2.54456e9i | −0.314541 | − | 0.544801i | ||||
\(580\) | 2.15577e9 | − | 3.73390e9i | 0.458780 | − | 0.794630i | ||||
\(581\) | 1.08686e10 | 2.29910 | ||||||||
\(582\) | −3.59692e9 | −0.756311 | ||||||||
\(583\) | 1.63624e8 | − | 2.83404e8i | 0.0341984 | − | 0.0592334i | ||||
\(584\) | −1.91961e9 | −0.398812 | ||||||||
\(585\) | −8.61909e8 | − | 1.49287e9i | −0.177998 | − | 0.308302i | ||||
\(586\) | 2.55835e9 | 0.525191 | ||||||||
\(587\) | 8.25693e8 | + | 1.43014e9i | 0.168494 | + | 0.291841i | 0.937891 | − | 0.346931i | \(-0.112776\pi\) |
−0.769396 | + | 0.638772i | \(0.779443\pi\) | |||||||
\(588\) | −1.88844e9 | − | 3.27087e9i | −0.383073 | − | 0.663503i | ||||
\(589\) | 3.03733e9 | + | 5.26081e9i | 0.612475 | + | 1.06084i | ||||
\(590\) | −2.47586e9 | + | 4.28831e9i | −0.496299 | + | 0.859615i | ||||
\(591\) | 3.71777e9 | 0.740844 | ||||||||
\(592\) | 2.68826e6 | − | 1.83160e8i | 0.000532531 | − | 0.0362832i | ||||
\(593\) | 5.55767e8 | 0.109446 | 0.0547232 | − | 0.998502i | \(-0.482572\pi\) | ||||
0.0547232 | + | 0.998502i | \(0.482572\pi\) | |||||||
\(594\) | −1.78690e8 | + | 3.09501e8i | −0.0349823 | + | 0.0605911i | ||||
\(595\) | −8.76190e9 | − | 1.51761e10i | −1.70525 | − | 2.95358i | ||||
\(596\) | −2.60873e9 | − | 4.51845e9i | −0.504739 | − | 0.874234i | ||||
\(597\) | 2.33399e9 | + | 4.04259e9i | 0.448941 | + | 0.777589i | ||||
\(598\) | 3.90664e8 | 0.0747050 | ||||||||
\(599\) | 4.57906e8 | + | 7.93117e8i | 0.0870528 | + | 0.150780i | 0.906264 | − | 0.422712i | \(-0.138922\pi\) |
−0.819211 | + | 0.573492i | \(0.805588\pi\) | |||||||
\(600\) | 1.25832e10 | 2.37828 | ||||||||
\(601\) | −8.12168e8 | + | 1.40672e9i | −0.152611 | + | 0.264330i | −0.932187 | − | 0.361978i | \(-0.882101\pi\) |
0.779576 | + | 0.626308i | \(0.215435\pi\) | |||||||
\(602\) | −5.02371e9 | −0.938506 | ||||||||
\(603\) | 2.43405e9 | 0.452084 | ||||||||
\(604\) | −2.68709e9 | + | 4.65417e9i | −0.496195 | + | 0.859435i | ||||
\(605\) | 4.57780e9 | + | 7.92898e9i | 0.840452 | + | 1.45571i | ||||
\(606\) | −2.14810e9 | −0.392104 | ||||||||
\(607\) | −4.12824e9 | + | 7.15033e9i | −0.749212 | + | 1.29767i | 0.198989 | + | 0.980002i | \(0.436234\pi\) |
−0.948201 | + | 0.317672i | \(0.897099\pi\) | |||||||
\(608\) | −4.70850e9 | + | 8.15536e9i | −0.849611 | + | 1.47157i | ||||
\(609\) | 3.95982e9 | − | 6.85861e9i | 0.710419 | − | 1.23048i | ||||
\(610\) | −2.68627e9 | − | 4.65276e9i | −0.479177 | − | 0.829958i | ||||
\(611\) | −2.18696e9 | − | 3.78792e9i | −0.387879 | − | 0.671826i | ||||
\(612\) | 1.10866e9 | − | 1.92025e9i | 0.195510 | − | 0.338633i | ||||
\(613\) | 3.72152e9 | − | 6.44586e9i | 0.652542 | − | 1.13024i | −0.329962 | − | 0.943994i | \(-0.607036\pi\) |
0.982504 | − | 0.186241i | \(-0.0596306\pi\) | |||||||
\(614\) | 1.69237e9 | − | 2.93127e9i | 0.295057 | − | 0.511054i | ||||
\(615\) | −1.31691e10 | −2.28294 | ||||||||
\(616\) | 7.02606e8 | + | 1.21695e9i | 0.121110 | + | 0.209768i | ||||
\(617\) | −3.52953e9 | + | 6.11332e9i | −0.604949 | + | 1.04780i | 0.387111 | + | 0.922033i | \(0.373473\pi\) |
−0.992060 | + | 0.125769i | \(0.959860\pi\) | |||||||
\(618\) | 1.45973e9 | 0.248778 | ||||||||
\(619\) | 3.35583e9 | 0.568700 | 0.284350 | − | 0.958721i | \(-0.408222\pi\) | ||||
0.284350 | + | 0.958721i | \(0.408222\pi\) | |||||||
\(620\) | −2.37480e9 | + | 4.11328e9i | −0.400181 | + | 0.693134i | ||||
\(621\) | 1.06399e9 | 0.178287 | ||||||||
\(622\) | 3.19407e9 | + | 5.53229e9i | 0.532204 | + | 0.921805i | ||||
\(623\) | 2.41773e8 | 0.0400589 | ||||||||
\(624\) | 6.12704e7 | + | 1.06123e8i | 0.0100950 | + | 0.0174850i | ||||
\(625\) | −3.07523e9 | − | 5.32646e9i | −0.503846 | − | 0.872687i | ||||
\(626\) | 3.08096e9 | + | 5.33637e9i | 0.501967 | + | 0.869432i | ||||
\(627\) | 1.07909e9 | − | 1.86904e9i | 0.174832 | − | 0.302818i | ||||
\(628\) | 2.20646e9 | 0.355498 | ||||||||
\(629\) | 1.27300e8 | − | 8.67341e9i | 0.0203964 | − | 1.38967i | ||||
\(630\) | 4.13290e9 | 0.658511 | ||||||||
\(631\) | −4.71326e7 | + | 8.16360e7i | −0.00746824 | + | 0.0129354i | −0.869735 | − | 0.493518i | \(-0.835711\pi\) |
0.862267 | + | 0.506454i | \(0.169044\pi\) | |||||||
\(632\) | 3.09438e9 | + | 5.35962e9i | 0.487600 | + | 0.844548i | ||||
\(633\) | 3.07622e9 | + | 5.32817e9i | 0.482064 | + | 0.834959i | ||||
\(634\) | 2.25180e9 | + | 3.90023e9i | 0.350927 | + | 0.607824i | ||||
\(635\) | 2.53785e9 | 0.393331 | ||||||||
\(636\) | 9.76959e8 | + | 1.69214e9i | 0.150583 | + | 0.260818i | ||||
\(637\) | 3.03759e9 | 0.465630 | ||||||||
\(638\) | −2.86646e8 | + | 4.96486e8i | −0.0436993 | + | 0.0756893i | ||||
\(639\) | −2.69364e8 | −0.0408401 | ||||||||
\(640\) | −7.61511e9 | −1.14828 | ||||||||
\(641\) | 3.50087e9 | − | 6.06368e9i | 0.525016 | − | 0.909355i | −0.474559 | − | 0.880224i | \(-0.657393\pi\) |
0.999576 | − | 0.0291313i | \(-0.00927410\pi\) | |||||||
\(642\) | −1.45047e9 | − | 2.51229e9i | −0.216340 | − | 0.374712i | ||||
\(643\) | 7.69267e9 | 1.14114 | 0.570569 | − | 0.821249i | \(-0.306723\pi\) | ||||
0.570569 | + | 0.821249i | \(0.306723\pi\) | |||||||
\(644\) | 8.11743e8 | − | 1.40598e9i | 0.119762 | − | 0.207433i | ||||
\(645\) | −7.77279e9 | + | 1.34629e10i | −1.14056 | + | 1.97551i | ||||
\(646\) | −4.84355e9 | + | 8.38928e9i | −0.706887 | + | 1.22437i | ||||
\(647\) | 1.78950e9 | + | 3.09951e9i | 0.259757 | + | 0.449912i | 0.966177 | − | 0.257881i | \(-0.0830242\pi\) |
−0.706420 | + | 0.707793i | \(0.749691\pi\) | |||||||
\(648\) | −4.26808e9 | − | 7.39254e9i | −0.616198 | − | 1.06729i | ||||
\(649\) | −5.70625e8 | + | 9.88352e8i | −0.0819398 | + | 0.141924i | ||||
\(650\) | −1.96362e9 | + | 3.40108e9i | −0.280453 | + | 0.485759i | ||||
\(651\) | −4.36215e9 | + | 7.55546e9i | −0.619679 | + | 1.07332i | ||||
\(652\) | −6.87018e9 | −0.970737 | ||||||||
\(653\) | 5.74334e9 | + | 9.94776e9i | 0.807176 | + | 1.39807i | 0.914812 | + | 0.403880i | \(0.132339\pi\) |
−0.107636 | + | 0.994190i | \(0.534328\pi\) | |||||||
\(654\) | −2.46239e9 | + | 4.26498e9i | −0.344219 | + | 0.596204i | ||||
\(655\) | −2.39477e10 | −3.32981 | ||||||||
\(656\) | 2.87694e8 | 0.0397894 | ||||||||
\(657\) | −6.50611e8 | + | 1.12689e9i | −0.0895040 | + | 0.155025i | ||||
\(658\) | 1.04866e10 | 1.43497 | ||||||||
\(659\) | −1.06112e9 | − | 1.83791e9i | −0.144432 | − | 0.250164i | 0.784729 | − | 0.619839i | \(-0.212802\pi\) |
−0.929161 | + | 0.369675i | \(0.879469\pi\) | |||||||
\(660\) | 1.68742e9 | 0.228464 | ||||||||
\(661\) | 4.70760e8 | + | 8.15380e8i | 0.0634008 | + | 0.109813i | 0.895983 | − | 0.444087i | \(-0.146472\pi\) |
−0.832583 | + | 0.553901i | \(0.813139\pi\) | |||||||
\(662\) | −1.70442e9 | − | 2.95215e9i | −0.228336 | − | 0.395490i | ||||
\(663\) | 2.90141e9 | + | 5.02539e9i | 0.386645 | + | 0.669688i | ||||
\(664\) | 6.05267e9 | − | 1.04835e10i | 0.802341 | − | 1.38969i | ||||
\(665\) | 3.12970e10 | 4.12692 | ||||||||
\(666\) | 1.75651e9 | + | 1.04879e9i | 0.230405 | + | 0.137572i | ||||
\(667\) | 1.70681e9 | 0.222713 | ||||||||
\(668\) | −2.35527e9 | + | 4.07945e9i | −0.305720 | + | 0.529522i | ||||
\(669\) | −3.20942e9 | − | 5.55888e9i | −0.414415 | − | 0.717787i | ||||
\(670\) | −4.15720e9 | − | 7.20049e9i | −0.533998 | − | 0.924912i | ||||
\(671\) | −6.19121e8 | − | 1.07235e9i | −0.0791128 | − | 0.137027i | ||||
\(672\) | −1.35245e10 | −1.71921 | ||||||||
\(673\) | −8.92843e8 | − | 1.54645e9i | −0.112907 | − | 0.195561i | 0.804034 | − | 0.594583i | \(-0.202683\pi\) |
−0.916941 | + | 0.399022i | \(0.869350\pi\) | |||||||
\(674\) | 5.42115e9 | 0.681996 | ||||||||
\(675\) | −5.34801e9 | + | 9.26303e9i | −0.669313 | + | 1.15928i | ||||
\(676\) | 4.00114e9 | 0.498161 | ||||||||
\(677\) | 5.36437e9 | 0.664444 | 0.332222 | − | 0.943201i | \(-0.392202\pi\) | ||||
0.332222 | + | 0.943201i | \(0.392202\pi\) | |||||||
\(678\) | −1.52864e9 | + | 2.64769e9i | −0.188366 | + | 0.326259i | ||||
\(679\) | −6.01093e9 | − | 1.04112e10i | −0.736882 | − | 1.27632i | ||||
\(680\) | −1.95178e10 | −2.38040 | ||||||||
\(681\) | −3.37823e8 | + | 5.85126e8i | −0.0409896 | + | 0.0709961i | ||||
\(682\) | 3.15770e8 | − | 5.46930e8i | 0.0381176 | − | 0.0660217i | ||||
\(683\) | −3.86267e9 | + | 6.69033e9i | −0.463890 | + | 0.803481i | −0.999151 | − | 0.0412062i | \(-0.986880\pi\) |
0.535261 | + | 0.844687i | \(0.320213\pi\) | |||||||
\(684\) | 1.98003e9 | + | 3.42951e9i | 0.236579 | + | 0.409766i | ||||
\(685\) | −4.19932e9 | − | 7.27344e9i | −0.499186 | − | 0.864615i | ||||
\(686\) | −1.99874e7 | + | 3.46192e7i | −0.00236386 | + | 0.00409433i | ||||
\(687\) | 5.23176e9 | − | 9.06167e9i | 0.615601 | − | 1.06625i | ||||
\(688\) | 1.69805e8 | − | 2.94111e8i | 0.0198789 | − | 0.0344312i | ||||
\(689\) | −1.57146e9 | −0.183035 | ||||||||
\(690\) | 1.44917e9 | + | 2.51004e9i | 0.167938 | + | 0.290876i | ||||
\(691\) | −1.55598e9 | + | 2.69503e9i | −0.179403 | + | 0.310735i | −0.941676 | − | 0.336520i | \(-0.890750\pi\) |
0.762273 | + | 0.647255i | \(0.224083\pi\) | |||||||
\(692\) | −1.91601e8 | −0.0219800 | ||||||||
\(693\) | 9.52534e8 | 0.108721 | ||||||||
\(694\) | −1.29585e9 | + | 2.24447e9i | −0.147162 | + | 0.254892i | ||||
\(695\) | −1.88619e10 | −2.13127 | ||||||||
\(696\) | −4.41041e9 | − | 7.63905e9i | −0.495845 | − | 0.858829i | ||||
\(697\) | 1.36235e10 | 1.52397 | ||||||||
\(698\) | 2.06023e9 | + | 3.56842e9i | 0.229309 | + | 0.397175i | ||||
\(699\) | −5.08297e9 | − | 8.80396e9i | −0.562921 | − | 0.975007i | ||||
\(700\) | 8.16022e9 | + | 1.41339e10i | 0.899205 | + | 1.55747i | ||||
\(701\) | 5.45608e9 | − | 9.45021e9i | 0.598230 | − | 1.03616i | −0.394853 | − | 0.918744i | \(-0.629204\pi\) |
0.993082 | − | 0.117420i | \(-0.0374622\pi\) | |||||||
\(702\) | 1.71616e9 | 0.187231 | ||||||||
\(703\) | 1.33014e10 | + | 7.94212e9i | 1.44396 | + | 0.862169i | ||||
\(704\) | 9.20891e8 | 0.0994727 | ||||||||
\(705\) | 1.62251e10 | − | 2.81026e10i | 1.74391 | − | 3.02054i | ||||
\(706\) | 2.21301e9 | + | 3.83305e9i | 0.236683 | + | 0.409947i | ||||
\(707\) | −3.58976e9 | − | 6.21765e9i | −0.382030 | − | 0.661696i | ||||
\(708\) | −3.40707e9 | − | 5.90122e9i | −0.360799 | − | 0.624922i | ||||
\(709\) | −4.50741e8 | −0.0474969 | −0.0237485 | − | 0.999718i | \(-0.507560\pi\) | ||||
−0.0237485 | + | 0.999718i | \(0.507560\pi\) | |||||||
\(710\) | 4.60057e8 | + | 7.96841e8i | 0.0482400 | + | 0.0835541i | ||||
\(711\) | 4.19510e9 | 0.437722 | ||||||||
\(712\) | 1.34642e8 | − | 2.33207e8i | 0.0139798 | − | 0.0242137i | ||||
\(713\) | −1.88023e9 | −0.194266 | ||||||||
\(714\) | −1.39124e10 | −1.43041 | ||||||||
\(715\) | −6.78560e8 | + | 1.17530e9i | −0.0694252 | + | 0.120248i | ||||
\(716\) | −1.54881e9 | − | 2.68262e9i | −0.157689 | − | 0.273126i | ||||
\(717\) | 7.19361e9 | 0.728836 | ||||||||
\(718\) | 1.92146e9 | − | 3.32806e9i | 0.193729 | − | 0.335549i | ||||
\(719\) | −1.09501e9 | + | 1.89661e9i | −0.109867 | + | 0.190294i | −0.915716 | − | 0.401826i | \(-0.868376\pi\) |
0.805850 | + | 0.592120i | \(0.201709\pi\) | |||||||
\(720\) | −1.39695e8 | + | 2.41959e8i | −0.0139482 | + | 0.0241589i | ||||
\(721\) | 2.43940e9 | + | 4.22516e9i | 0.242387 | + | 0.419826i | ||||
\(722\) | −5.59197e9 | − | 9.68558e9i | −0.552948 | − | 0.957735i | ||||
\(723\) | 8.51892e9 | − | 1.47552e10i | 0.838302 | − | 1.45198i | ||||
\(724\) | −2.73122e9 | + | 4.73062e9i | −0.267468 | + | 0.463268i | ||||
\(725\) | −8.57903e9 | + | 1.48593e10i | −0.836094 | + | 1.44816i | ||||
\(726\) | 7.26878e9 | 0.704991 | ||||||||
\(727\) | 5.67046e9 | + | 9.82152e9i | 0.547328 | + | 0.948000i | 0.998456 | + | 0.0555408i | \(0.0176883\pi\) |
−0.451128 | + | 0.892459i | \(0.648978\pi\) | |||||||
\(728\) | 3.37395e9 | − | 5.84385e9i | 0.324100 | − | 0.561357i | ||||
\(729\) | 2.61510e9 | 0.250001 | ||||||||
\(730\) | 4.44481e9 | 0.422886 | ||||||||
\(731\) | 8.04100e9 | − | 1.39274e10i | 0.761376 | − | 1.31874i | ||||
\(732\) | 7.39326e9 | 0.696702 | ||||||||
\(733\) | −7.68814e9 | − | 1.33162e10i | −0.721037 | − | 1.24887i | −0.960585 | − | 0.277988i | \(-0.910333\pi\) |
0.239548 | − | 0.970884i | \(-0.423001\pi\) | |||||||
\(734\) | 3.49781e9 | 0.326482 | ||||||||
\(735\) | 1.12679e10 | + | 1.95166e10i | 1.04674 | + | 1.81301i | ||||
\(736\) | −1.45737e9 | − | 2.52425e9i | −0.134741 | − | 0.233378i | ||||
\(737\) | −9.58136e8 | − | 1.65954e9i | −0.0881639 | − | 0.152704i | ||||
\(738\) | −1.60652e9 | + | 2.78258e9i | −0.147126 | + | 0.254830i | ||||
\(739\) | −1.36843e10 | −1.24729 | −0.623645 | − | 0.781708i | \(-0.714349\pi\) | ||||
−0.623645 | + | 0.781708i | \(0.714349\pi\) | |||||||
\(740\) | −1.77762e8 | + | 1.21115e10i | −0.0161261 | + | 1.09872i | ||||
\(741\) | −1.03637e10 | −0.935728 | ||||||||
\(742\) | 1.88380e9 | − | 3.26284e9i | 0.169286 | − | 0.293213i | ||||
\(743\) | −4.48389e8 | − | 7.76633e8i | −0.0401046 | − | 0.0694632i | 0.845276 | − | 0.534329i | \(-0.179436\pi\) |
−0.885381 | + | 0.464866i | \(0.846102\pi\) | |||||||
\(744\) | 4.85851e9 | + | 8.41519e9i | 0.432512 | + | 0.749133i | ||||
\(745\) | 1.55658e10 | + | 2.69607e10i | 1.37919 | + | 2.38882i | ||||
\(746\) | −8.60795e9 | −0.759126 | ||||||||
\(747\) | −4.10285e9 | − | 7.10634e9i | −0.360133 | − | 0.623769i | ||||
\(748\) | −1.74564e9 | −0.152510 | ||||||||
\(749\) | 4.84786e9 | − | 8.39675e9i | 0.421565 | − | 0.730171i | ||||
\(750\) | −1.45867e10 | −1.26254 | ||||||||
\(751\) | −7.05492e9 | −0.607788 | −0.303894 | − | 0.952706i | \(-0.598287\pi\) | ||||
−0.303894 | + | 0.952706i | \(0.598287\pi\) | |||||||
\(752\) | −3.54454e8 | + | 6.13933e8i | −0.0303947 | + | 0.0526452i | ||||
\(753\) | 1.29400e9 | + | 2.24127e9i | 0.110446 | + | 0.191299i | ||||
\(754\) | 2.75298e9 | 0.233885 | ||||||||
\(755\) | 1.60333e10 | − | 2.77705e10i | 1.35584 | − | 2.34839i | ||||
\(756\) | 3.56593e9 | − | 6.17636e9i | 0.300155 | − | 0.519884i | ||||
\(757\) | −5.89352e9 | + | 1.02079e10i | −0.493787 | + | 0.855264i | −0.999974 | − | 0.00715970i | \(-0.997721\pi\) |
0.506188 | + | 0.862423i | \(0.331054\pi\) | |||||||
\(758\) | 1.92101e9 | + | 3.32729e9i | 0.160209 | + | 0.277491i | ||||
\(759\) | 3.33999e8 | + | 5.78503e8i | 0.0277268 | + | 0.0480241i | ||||
\(760\) | 1.74291e10 | − | 3.01881e10i | 1.44022 | − | 2.49453i | ||||
\(761\) | 1.17303e9 | − | 2.03175e9i | 0.0964860 | − | 0.167119i | −0.813742 | − | 0.581226i | \(-0.802573\pi\) |
0.910228 | + | 0.414108i | \(0.135906\pi\) | |||||||
\(762\) | 1.00742e9 | − | 1.74490e9i | 0.0824838 | − | 0.142866i | ||||
\(763\) | −1.64599e10 | −1.34150 | ||||||||
\(764\) | −4.41292e9 | − | 7.64340e9i | −0.358014 | − | 0.620098i | ||||
\(765\) | −6.61515e9 | + | 1.14578e10i | −0.534226 | + | 0.925306i | ||||
\(766\) | −9.55016e9 | −0.767733 | ||||||||
\(767\) | 5.48034e9 | 0.438555 | ||||||||
\(768\) | −7.35818e9 | + | 1.27447e10i | −0.586146 | + | 1.01524i | ||||
\(769\) | −7.24360e9 | −0.574398 | −0.287199 | − | 0.957871i | \(-0.592724\pi\) | ||||
−0.287199 | + | 0.957871i | \(0.592724\pi\) | |||||||
\(770\) | −1.62687e9 | − | 2.81782e9i | −0.128421 | − | 0.222431i | ||||
\(771\) | −3.39423e9 | −0.266717 | ||||||||
\(772\) | −2.12224e9 | − | 3.67583e9i | −0.166010 | − | 0.287538i | ||||
\(773\) | −4.57158e9 | − | 7.91822e9i | −0.355991 | − | 0.616594i | 0.631296 | − | 0.775542i | \(-0.282523\pi\) |
−0.987287 | + | 0.158948i | \(0.949190\pi\) | |||||||
\(774\) | 1.89643e9 | + | 3.28471e9i | 0.147009 | + | 0.254627i | ||||
\(775\) | 9.45068e9 | − | 1.63691e10i | 0.729301 | − | 1.26319i | ||||
\(776\) | −1.33898e10 | −1.02863 | ||||||||
\(777\) | −3.26522e8 | + | 2.22471e10i | −0.0249712 | + | 1.70137i | ||||
\(778\) | 1.24424e10 | 0.947271 | ||||||||
\(779\) | −1.21656e10 | + | 2.10715e10i | −0.922047 | + | 1.59703i | ||||
\(780\) | −4.05153e9 | − | 7.01745e9i | −0.305695 | − | 0.529479i | ||||
\(781\) | 1.06032e8 | + | 1.83653e8i | 0.00796449 | + | 0.0137949i | ||||
\(782\) | −1.49918e9 | − | 2.59665e9i | −0.112106 | − | 0.194173i | ||||
\(783\) | 7.49788e9 | 0.558178 | ||||||||
\(784\) | −2.46161e8 | − | 4.26363e8i | −0.0182437 | − | 0.0315990i | ||||
\(785\) | −1.31655e10 | −0.971390 | ||||||||
\(786\) | −9.50623e9 | + | 1.64653e10i | −0.698280 | + | 1.20946i | ||||
\(787\) | −7.73872e9 | −0.565923 | −0.282962 | − | 0.959131i | \(-0.591317\pi\) | ||||
−0.282962 | + | 0.959131i | \(0.591317\pi\) | |||||||
\(788\) | 5.37063e9 | 0.391006 | ||||||||
\(789\) | −1.31165e9 | + | 2.27185e9i | −0.0950712 | + | 0.164668i | ||||
\(790\) | −7.16496e9 | − | 1.24101e10i | −0.517034 | − | 0.895529i | ||||
\(791\) | −1.02183e10 | −0.734106 | ||||||||
\(792\) | 5.30461e8 | − | 9.18785e8i | 0.0379416 | − | 0.0657167i | ||||
\(793\) | −2.97305e9 | + | 5.14947e9i | −0.211712 | + | 0.366696i | ||||
\(794\) | 5.50161e9 | − | 9.52907e9i | 0.390048 | − | 0.675583i | ||||
\(795\) | −5.82932e9 | − | 1.00967e10i | −0.411465 | − | 0.712679i | ||||
\(796\) | 3.37165e9 | + | 5.83986e9i | 0.236944 | + | 0.410400i | ||||
\(797\) | −1.65367e9 | + | 2.86423e9i | −0.115703 | + | 0.200403i | −0.918060 | − | 0.396440i | \(-0.870245\pi\) |
0.802358 | + | 0.596844i | \(0.203579\pi\) | |||||||
\(798\) | 1.24236e10 | − | 2.15183e10i | 0.865439 | − | 1.49899i | ||||
\(799\) | −1.67849e10 | + | 2.90723e10i | −1.16414 | + | 2.01635i | ||||
\(800\) | 2.93011e10 | 2.02334 | ||||||||
\(801\) | −9.12681e7 | − | 1.58081e8i | −0.00627488 | − | 0.0108684i | ||||
\(802\) | −3.66866e9 | + | 6.35431e9i | −0.251129 | + | 0.434969i | ||||
\(803\) | 1.02442e9 | 0.0698191 | ||||||||
\(804\) | 1.14416e10 | 0.776410 | ||||||||
\(805\) | −4.84351e9 | + | 8.38921e9i | −0.327246 | + | 0.566808i | ||||
\(806\) | −3.03269e9 | −0.204012 | ||||||||
\(807\) | −3.28680e9 | − | 5.69290e9i | −0.220148 | − | 0.381308i | ||||
\(808\) | −7.99648e9 | −0.533285 | ||||||||
\(809\) | 1.22300e10 | + | 2.11831e10i | 0.812097 | + | 1.40659i | 0.911393 | + | 0.411536i | \(0.135008\pi\) |
−0.0992960 | + | 0.995058i | \(0.531659\pi\) | |||||||
\(810\) | 9.88265e9 | + | 1.71172e10i | 0.653395 | + | 1.13171i | ||||
\(811\) | 1.20442e10 | + | 2.08612e10i | 0.792877 | + | 1.37330i | 0.924179 | + | 0.381961i | \(0.124751\pi\) |
−0.131302 | + | 0.991342i | \(0.541916\pi\) | |||||||
\(812\) | 5.72029e9 | − | 9.90783e9i | 0.374949 | − | 0.649430i | ||||
\(813\) | 1.40735e10 | 0.918514 | ||||||||
\(814\) | 2.36365e7 | − | 1.61044e9i | 0.00153603 | − | 0.104655i | ||||
\(815\) | 4.09930e10 | 2.65252 | ||||||||
\(816\) | 4.70250e8 | − | 8.14498e8i | 0.0302980 | − | 0.0524776i | ||||
\(817\) | 1.43610e10 | + | 2.48739e10i | 0.921312 | + | 1.59576i | ||||
\(818\) | −1.62368e9 | − | 2.81230e9i | −0.103721 | − | 0.179649i | ||||
\(819\) | −2.28706e9 | − | 3.96130e9i | −0.145473 | − | 0.251967i | ||||
\(820\) | −1.90239e10 | −1.20490 | ||||||||
\(821\) | −3.09613e9 | − | 5.36266e9i | −0.195262 | − | 0.338204i | 0.751724 | − | 0.659478i | \(-0.229222\pi\) |
−0.946986 | + | 0.321273i | \(0.895889\pi\) | |||||||
\(822\) | −6.66782e9 | −0.418728 | ||||||||
\(823\) | −2.36380e9 | + | 4.09422e9i | −0.147813 | + | 0.256019i | −0.930419 | − | 0.366498i | \(-0.880557\pi\) |
0.782606 | + | 0.622517i | \(0.213890\pi\) | |||||||
\(824\) | 5.43395e9 | 0.338353 | ||||||||
\(825\) | −6.71519e9 | −0.416360 | ||||||||
\(826\) | −6.56963e9 | + | 1.13789e10i | −0.405612 | + | 0.702541i | ||||
\(827\) | 6.42249e9 | + | 1.11241e10i | 0.394852 | + | 0.683904i | 0.993082 | − | 0.117420i | \(-0.0374625\pi\) |
−0.598230 | + | 0.801324i | \(0.704129\pi\) | |||||||
\(828\) | −1.22572e9 | −0.0750385 | ||||||||
\(829\) | 1.31273e10 | − | 2.27372e10i | 0.800269 | − | 1.38611i | −0.119170 | − | 0.992874i | \(-0.538023\pi\) |
0.919439 | − | 0.393232i | \(-0.128643\pi\) | |||||||
\(830\) | −1.40148e10 | + | 2.42744e10i | −0.850774 | + | 1.47358i | ||||
\(831\) | −1.46066e10 | + | 2.52994e10i | −0.882971 | + | 1.52935i | ||||
\(832\) | −2.21108e9 | − | 3.82970e9i | −0.133098 | − | 0.230533i | ||||
\(833\) | −1.16567e10 | − | 2.01901e10i | −0.698747 | − | 1.21026i | ||||
\(834\) | −7.48740e9 | + | 1.29686e10i | −0.446940 | + | 0.774124i | ||||
\(835\) | 1.40534e10 | − | 2.43413e10i | 0.835372 | − | 1.44691i | ||||
\(836\) | 1.55883e9 | − | 2.69998e9i | 0.0922736 | − | 0.159823i | ||||
\(837\) | −8.25968e9 | −0.486883 | ||||||||
\(838\) | −4.04687e9 | − | 7.00939e9i | −0.237556 | − | 0.411459i | ||||
\(839\) | 5.22877e9 | − | 9.05649e9i | 0.305656 | − | 0.529411i | −0.671751 | − | 0.740777i | \(-0.734458\pi\) |
0.977407 | + | 0.211365i | \(0.0677910\pi\) | |||||||
\(840\) | 5.00627e10 | 2.91432 | ||||||||
\(841\) | −5.22213e9 | −0.302735 | ||||||||
\(842\) | 9.85715e8 | − | 1.70731e9i | 0.0569061 | − | 0.0985643i | ||||
\(843\) | −2.45233e10 | −1.40988 | ||||||||
\(844\) | 4.44386e9 | + | 7.69698e9i | 0.254426 | + | 0.440679i | ||||
\(845\) | −2.38740e10 | −1.36122 | ||||||||
\(846\) | −3.95864e9 | − | 6.85656e9i | −0.224776 | − | 0.389323i | ||||
\(847\) | 1.21471e10 | + | 2.10394e10i | 0.686879 | + | 1.18971i | ||||
\(848\) | 1.27348e8 | + | 2.20573e8i | 0.00717145 | + | 0.0124213i | ||||
\(849\) | 1.37867e10 | − | 2.38793e10i | 0.773186 | − | 1.33920i | ||||
\(850\) | 3.01415e10 | 1.68345 | ||||||||
\(851\) | −4.18743e9 | + | 2.33636e9i | −0.232913 | + | 0.129953i | ||||
\(852\) | −1.26619e9 | −0.0701388 | ||||||||
\(853\) | 7.39538e9 | − | 1.28092e10i | 0.407980 | − | 0.706642i | −0.586683 | − | 0.809816i | \(-0.699567\pi\) |
0.994663 | + | 0.103174i | \(0.0329000\pi\) | |||||||
\(854\) | −7.12796e9 | − | 1.23460e10i | −0.391618 | − | 0.678303i | ||||
\(855\) | −1.18145e10 | − | 2.04632e10i | −0.646446 | − | 1.11968i | ||||
\(856\) | −5.39950e9 | − | 9.35221e9i | −0.294236 | − | 0.509631i | ||||
\(857\) | −2.63789e10 | −1.43161 | −0.715804 | − | 0.698302i | \(-0.753939\pi\) | ||||
−0.715804 | + | 0.698302i | \(0.753939\pi\) | |||||||
\(858\) | 5.38720e8 | + | 9.33090e8i | 0.0291177 | + | 0.0504334i | ||||
\(859\) | 1.36514e10 | 0.734855 | 0.367428 | − | 0.930052i | \(-0.380239\pi\) | ||||
0.367428 | + | 0.930052i | \(0.380239\pi\) | |||||||
\(860\) | −1.12284e10 | + | 1.94482e10i | −0.601970 | + | 1.04264i | ||||
\(861\) | −3.49440e10 | −1.86579 | ||||||||
\(862\) | 1.07327e10 | 0.570735 | ||||||||
\(863\) | 1.02997e9 | − | 1.78396e9i | 0.0545490 | − | 0.0944816i | −0.837461 | − | 0.546496i | \(-0.815961\pi\) |
0.892010 | + | 0.452015i | \(0.149295\pi\) | |||||||
\(864\) | −6.40213e9 | − | 1.10888e10i | −0.337696 | − | 0.584907i | ||||
\(865\) | 1.14325e9 | 0.0600598 | ||||||||
\(866\) | −6.42635e9 | + | 1.11308e10i | −0.336242 | + | 0.582388i | ||||
\(867\) | 1.07399e10 | − | 1.86021e10i | 0.559674 | − | 0.969383i | ||||
\(868\) | −6.30148e9 | + | 1.09145e10i | −0.327057 | + | 0.566480i | ||||
\(869\) | −1.65135e9 | − | 2.86022e9i | −0.0853631 | − | 0.147853i | ||||
\(870\) | 1.02122e10 | + | 1.76880e10i | 0.525777 | + | 0.910672i | ||||
\(871\) | −4.60101e9 | + | 7.96919e9i | −0.235934 | + | 0.408649i | ||||
\(872\) | −9.16644e9 | + | 1.58767e10i | −0.468158 | + | 0.810874i | ||||
\(873\) | −4.53820e9 | + | 7.86039e9i | −0.230852 | + | 0.399847i | ||||
\(874\) | 5.35496e9 | 0.271310 | ||||||||
\(875\) | −2.43764e10 | − | 4.22211e10i | −1.23010 | − | 2.13060i | ||||
\(876\) | −3.05829e9 | + | 5.29712e9i | −0.153714 | + | 0.266241i | ||||
\(877\) | −7.22854e9 | −0.361870 | −0.180935 | − | 0.983495i | \(-0.557912\pi\) | ||||
−0.180935 | + | 0.983495i | \(0.557912\pi\) | |||||||
\(878\) | 1.67298e10 | 0.834179 | ||||||||
\(879\) | 1.05033e10 | − | 1.81923e10i | 0.521634 | − | 0.903497i | ||||
\(880\) | 2.19957e8 | 0.0108805 | ||||||||
\(881\) | 5.32464e9 | + | 9.22254e9i | 0.262346 | + | 0.454397i | 0.966865 | − | 0.255289i | \(-0.0821705\pi\) |
−0.704519 | + | 0.709685i | \(0.748837\pi\) | |||||||
\(882\) | 5.49837e9 | 0.269832 | ||||||||
\(883\) | −1.36851e10 | − | 2.37033e10i | −0.668939 | − | 1.15864i | −0.978201 | − | 0.207659i | \(-0.933415\pi\) |
0.309262 | − | 0.950977i | \(-0.399918\pi\) | |||||||
\(884\) | 4.19133e9 | + | 7.25959e9i | 0.204065 | + | 0.353451i | ||||
\(885\) | 2.03293e10 | + | 3.52115e10i | 0.985875 | + | 1.70759i | ||||
\(886\) | 1.02221e10 | − | 1.77052e10i | 0.493767 | − | 0.855230i | ||||
\(887\) | 1.74958e10 | 0.841783 | 0.420891 | − | 0.907111i | \(-0.361717\pi\) | ||||
0.420891 | + | 0.907111i | \(0.361717\pi\) | |||||||
\(888\) | 2.12770e10 | + | 1.27042e10i | 1.01968 | + | 0.608839i | ||||
\(889\) | 6.73414e9 | 0.321459 | ||||||||
\(890\) | −3.11760e8 | + | 5.39984e8i | −0.0148237 | + | 0.0256753i | ||||
\(891\) | 2.27771e9 | + | 3.94511e9i | 0.107876 | + | 0.186848i | ||||
\(892\) | −4.63627e9 | − | 8.03026e9i | −0.218722 | − | 0.378837i | ||||
\(893\) | −2.99773e10 | − | 5.19223e10i | −1.40868 | − | 2.43991i | ||||
\(894\) | 2.47158e10 | 1.15689 | ||||||||
\(895\) | 9.24144e9 | + | 1.60066e10i | 0.430883 | + | 0.746311i | ||||
\(896\) | −2.02065e10 | −0.938455 | ||||||||
\(897\) | 1.60388e9 | − | 2.77800e9i | 0.0741990 | − | 0.128516i | ||||
\(898\) | 1.73368e10 | 0.798918 | ||||||||
\(899\) | −1.32498e10 | −0.608205 | ||||||||
\(900\) | 6.16089e9 | − | 1.06710e10i | 0.281705 | − | 0.487927i | ||||
\(901\) | 6.03047e9 | + | 1.04451e10i | 0.274672 | + | 0.475746i | ||||
\(902\) | 2.52955e9 | 0.114768 | ||||||||
\(903\) | −2.06249e10 | + | 3.57234e10i | −0.932149 | + | 1.61453i | ||||
\(904\) | −5.69049e9 | + | 9.85622e9i | −0.256189 | + | 0.443732i | ||||
\(905\) | 1.62967e10 | − | 2.82267e10i | 0.730851 | − | 1.26587i | ||||
\(906\) | −1.27291e10 | − | 2.20475e10i | −0.568656 | − | 0.984941i | ||||
\(907\) | −1.98809e9 | − | 3.44347e9i | −0.0884730 | − | 0.153240i | 0.818393 | − | 0.574659i | \(-0.194865\pi\) |
−0.906866 | + | 0.421419i | \(0.861532\pi\) | |||||||
\(908\) | −4.88013e8 | + | 8.45263e8i | −0.0216337 | + | 0.0374707i | ||||
\(909\) | −2.71024e9 | + | 4.69427e9i | −0.119683 | + | 0.207298i | ||||
\(910\) | −7.81229e9 | + | 1.35313e10i | −0.343664 | + | 0.595243i | ||||
\(911\) | 1.50556e9 | 0.0659757 | 0.0329878 | − | 0.999456i | \(-0.489498\pi\) | ||||
0.0329878 | + | 0.999456i | \(0.489498\pi\) | |||||||
\(912\) | 8.39853e8 | + | 1.45467e9i | 0.0366624 | + | 0.0635012i | ||||
\(913\) | −3.23008e9 | + | 5.59466e9i | −0.140464 | + | 0.243291i | ||||
\(914\) | −1.72239e10 | −0.746138 | ||||||||
\(915\) | −4.41141e10 | −1.90372 | ||||||||
\(916\) | 7.55771e9 | − | 1.30903e10i | 0.324905 | − | 0.562752i | ||||
\(917\) | −6.35447e10 | −2.72136 | ||||||||
\(918\) | −6.58576e9 | − | 1.14069e10i | −0.280968 | − | 0.486651i | ||||
\(919\) | 3.42214e10 | 1.45443 | 0.727215 | − | 0.686410i | \(-0.240814\pi\) | ||||
0.727215 | + | 0.686410i | \(0.240814\pi\) | |||||||
\(920\) | 5.39466e9 | + | 9.34382e9i | 0.228405 | + | 0.395610i | ||||
\(921\) | −1.38961e10 | − | 2.40688e10i | −0.586117 | − | 1.01518i | ||||
\(922\) | −4.11612e8 | − | 7.12933e8i | −0.0172954 | − | 0.0299564i | ||||
\(923\) | 5.09171e8 | − | 8.81909e8i | 0.0213136 | − | 0.0369163i | ||||
\(924\) | 4.47752e9 | 0.186718 | ||||||||
\(925\) | 7.07417e8 | − | 4.81987e10i | 0.0293886 | − | 2.00235i | ||||
\(926\) | 5.06343e9 | 0.209559 | ||||||||
\(927\) | 1.84172e9 | − | 3.18995e9i | 0.0759355 | − | 0.131524i | ||||
\(928\) | −1.02700e10 | − | 1.77881e10i | −0.421844 | − | 0.730656i | ||||
\(929\) | 1.24962e10 | + | 2.16440e10i | 0.511354 | + | 0.885692i | 0.999913 | + | 0.0131610i | \(0.00418939\pi\) |
−0.488559 | + | 0.872531i | \(0.662477\pi\) | |||||||
\(930\) | −1.12498e10 | − | 1.94852e10i | −0.458620 | − | 0.794354i | ||||
\(931\) | 4.16372e10 | 1.69105 | ||||||||
\(932\) | −7.34277e9 | − | 1.27180e10i | −0.297101 | − | 0.514594i | ||||
\(933\) | 5.24533e10 | 2.11440 | ||||||||
\(934\) | −9.10467e9 | + | 1.57698e10i | −0.365637 | + | 0.633302i | ||||
\(935\) | 1.04159e10 | 0.416732 | ||||||||
\(936\) | −5.09460e9 | −0.203069 | ||||||||
\(937\) | −9.19402e9 | + | 1.59245e10i | −0.365104 | + | 0.632379i | −0.988793 | − | 0.149294i | \(-0.952300\pi\) |
0.623688 | + | 0.781673i | \(0.285633\pi\) | |||||||
\(938\) | −1.10311e10 | − | 1.91063e10i | −0.436422 | − | 0.755906i | ||||
\(939\) | 5.05956e10 | 1.99427 | ||||||||
\(940\) | 2.34384e10 | − | 4.05966e10i | 0.920410 | − | 1.59420i | ||||
\(941\) | 1.21499e10 | − | 2.10443e10i | 0.475347 | − | 0.823325i | −0.524255 | − | 0.851562i | \(-0.675656\pi\) |
0.999601 | + | 0.0282370i | \(0.00898932\pi\) | |||||||
\(942\) | −5.22615e9 | + | 9.05196e9i | −0.203706 | + | 0.352829i | ||||
\(943\) | −3.76550e9 | − | 6.52203e9i | −0.146228 | − | 0.253275i | ||||
\(944\) | −4.44117e8 | − | 7.69233e8i | −0.0171829 | − | 0.0297616i | ||||
\(945\) | −2.12772e10 | + | 3.68532e10i | −0.820168 | + | 1.42057i | ||||
\(946\) | 1.49301e9 | − | 2.58598e9i | 0.0573383 | − | 0.0993128i | ||||
\(947\) | −1.28173e10 | + | 2.22001e10i | −0.490422 | + | 0.849436i | −0.999939 | − | 0.0110242i | \(-0.996491\pi\) |
0.509517 | + | 0.860461i | \(0.329824\pi\) | |||||||
\(948\) | 1.97197e10 | 0.751745 | ||||||||
\(949\) | −2.45966e9 | − | 4.26025e9i | −0.0934207 | − | 0.161809i | ||||
\(950\) | −2.69159e10 | + | 4.66198e10i | −1.01854 | + | 1.76416i | ||||
\(951\) | 3.69792e10 | 1.39420 | ||||||||
\(952\) | −5.17901e10 | −1.94544 | ||||||||
\(953\) | −1.48047e10 | + | 2.56426e10i | −0.554084 | + | 0.959702i | 0.443890 | + | 0.896081i | \(0.353598\pi\) |
−0.997974 | + | 0.0636205i | \(0.979735\pi\) | |||||||
\(954\) | −2.84451e9 | −0.106069 | ||||||||
\(955\) | 2.63310e10 | + | 4.56067e10i | 0.978264 | + | 1.69440i | ||||
\(956\) | 1.03918e10 | 0.384668 | ||||||||
\(957\) | 2.35366e9 | + | 4.07666e9i | 0.0868065 | + | 0.150353i | ||||
\(958\) | −1.34365e9 | − | 2.32727e9i | −0.0493750 | − | 0.0855200i | ||||
\(959\) | −1.11428e10 | − | 1.92999e10i | −0.407971 | − | 0.706627i | ||||
\(960\) | 1.64040e10 | − | 2.84126e10i | 0.598413 | − | 1.03648i | ||||
\(961\) | −1.29166e10 | −0.469480 | ||||||||
\(962\) | −6.75407e9 | + | 3.76840e9i | −0.244598 | + | 0.136472i | ||||
\(963\) | −7.32019e9 | −0.264138 | ||||||||
\(964\) | 1.23063e10 | − | 2.13151e10i | 0.442443 | − | 0.766334i | ||||
\(965\) | 1.26630e10 | + | 2.19329e10i | 0.453618 | + | 0.785690i | ||||
\(966\) | 3.84534e9 | + | 6.66033e9i | 0.137251 | + | 0.237726i | ||||
\(967\) | 2.20940e10 | + | 3.82678e10i | 0.785743 | + | 1.36095i | 0.928554 | + | 0.371198i | \(0.121053\pi\) |
−0.142811 | + | 0.989750i | \(0.545614\pi\) | |||||||
\(968\) | 2.70586e10 | 0.958830 | ||||||||
\(969\) | 3.97706e10 | + | 6.88847e10i | 1.40420 | + | 2.43214i | ||||
\(970\) | 3.10038e10 | 1.09072 | ||||||||
\(971\) | −3.99161e9 | + | 6.91368e9i | −0.139920 | + | 0.242349i | −0.927466 | − | 0.373907i | \(-0.878018\pi\) |
0.787546 | + | 0.616256i | \(0.211351\pi\) | |||||||
\(972\) | −1.50629e10 | −0.526109 | ||||||||
\(973\) | −5.00497e10 | −1.74183 | ||||||||
\(974\) | 7.19245e9 | − | 1.24577e10i | 0.249414 | − | 0.431997i | ||||
\(975\) | 1.61233e10 | + | 2.79264e10i | 0.557107 | + | 0.964937i | ||||
\(976\) | 9.63722e8 | 0.0331801 | ||||||||
\(977\) | 1.87934e10 | − | 3.25511e10i | 0.644725 | − | 1.11670i | −0.339640 | − | 0.940555i | \(-0.610305\pi\) |
0.984365 | − | 0.176141i | \(-0.0563614\pi\) | |||||||
\(978\) | 1.62725e10 | − | 2.81848e10i | 0.556248 | − | 0.963450i | ||||
\(979\) | −7.18532e7 | + | 1.24453e8i | −0.00244741 | + | 0.00423904i | ||||
\(980\) | 1.62775e10 | + | 2.81934e10i | 0.552453 | + | 0.956877i | ||||
\(981\) | 6.21354e9 | + | 1.07622e10i | 0.210135 | + | 0.363964i | ||||
\(982\) | −3.23288e8 | + | 5.59952e8i | −0.0108943 | + | 0.0188695i | ||||
\(983\) | −2.15128e10 | + | 3.72613e10i | −0.722370 | + | 1.25118i | 0.237677 | + | 0.971344i | \(0.423614\pi\) |
−0.960047 | + | 0.279837i | \(0.909719\pi\) | |||||||
\(984\) | −1.94601e10 | + | 3.37059e10i | −0.651123 | + | 1.12778i | ||||
\(985\) | −3.20455e10 | −1.06842 | ||||||||
\(986\) | −1.05646e10 | − | 1.82984e10i | −0.350980 | − | 0.607915i | ||||
\(987\) | 4.30528e10 | − | 7.45697e10i | 1.42525 | − | 2.46861i | ||||
\(988\) | −1.49712e10 | −0.493863 | ||||||||
\(989\) | −8.89001e9 | −0.292224 | ||||||||
\(990\) | −1.22827e9 | + | 2.12742e9i | −0.0402319 | + | 0.0696837i | ||||
\(991\) | −1.45019e10 | −0.473335 | −0.236667 | − | 0.971591i | \(-0.576055\pi\) | ||||
−0.236667 | + | 0.971591i | \(0.576055\pi\) | |||||||
\(992\) | 1.13134e10 | + | 1.95955e10i | 0.367963 | + | 0.637330i | ||||
\(993\) | −2.79901e10 | −0.907158 | ||||||||
\(994\) | 1.22075e9 | + | 2.11440e9i | 0.0394252 | + | 0.0682865i | ||||
\(995\) | −2.01180e10 | − | 3.48453e10i | −0.647445 | − | 1.12141i | ||||
\(996\) | −1.92861e10 | − | 3.34044e10i | −0.618494 | − | 1.07126i | ||||
\(997\) | −4.81699e9 | + | 8.34328e9i | −0.153937 | + | 0.266627i | −0.932671 | − | 0.360727i | \(-0.882529\pi\) |
0.778734 | + | 0.627354i | \(0.215862\pi\) | |||||||
\(998\) | 3.43273e9 | 0.109316 | ||||||||
\(999\) | −1.83951e10 | + | 1.02634e10i | −0.583743 | + | 0.325697i |
(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 | 37.8.c.a.10.8 | ✓ | 42 | |
37.26 | even | 3 | inner | 37.8.c.a.26.8 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.c.a.10.8 | ✓ | 42 | 1.1 | even | 1 | trivial | |
37.8.c.a.26.8 | yes | 42 | 37.26 | even | 3 | inner |