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 | 10.17 | ||
Character | \(\chi\) | \(=\) | 37.10 |
Dual form | 37.8.c.a.26.17 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.29543 | − | 10.9040i | 0.556443 | − | 0.963787i | −0.441347 | − | 0.897337i | \(-0.645499\pi\) |
0.997790 | − | 0.0664508i | \(-0.0211675\pi\) | |||||||
\(3\) | −9.44168 | − | 16.3535i | −0.201895 | − | 0.349692i | 0.747244 | − | 0.664550i | \(-0.231377\pi\) |
−0.949139 | + | 0.314858i | \(0.898043\pi\) | |||||||
\(4\) | −15.2650 | − | 26.4397i | −0.119257 | − | 0.206560i | ||||
\(5\) | 125.405 | + | 217.208i | 0.448662 | + | 0.777106i | 0.998299 | − | 0.0582975i | \(-0.0185672\pi\) |
−0.549637 | + | 0.835404i | \(0.685234\pi\) | |||||||
\(6\) | −237.758 | −0.449371 | ||||||||
\(7\) | 817.371 | + | 1415.73i | 0.900692 | + | 1.56004i | 0.826598 | + | 0.562793i | \(0.190273\pi\) |
0.0740936 | + | 0.997251i | \(0.476394\pi\) | |||||||
\(8\) | 1227.23 | 0.847446 | ||||||||
\(9\) | 915.209 | − | 1585.19i | 0.418477 | − | 0.724824i | ||||
\(10\) | 3157.91 | 0.998620 | ||||||||
\(11\) | −3267.72 | −0.740236 | −0.370118 | − | 0.928985i | \(-0.620683\pi\) | ||||
−0.370118 | + | 0.928985i | \(0.620683\pi\) | |||||||
\(12\) | −288.254 | + | 499.270i | −0.0481549 | + | 0.0834067i | ||||
\(13\) | 285.328 | + | 494.203i | 0.0360200 | + | 0.0623884i | 0.883473 | − | 0.468481i | \(-0.155199\pi\) |
−0.847453 | + | 0.530870i | \(0.821865\pi\) | |||||||
\(14\) | 20582.8 | 2.00473 | ||||||||
\(15\) | 2368.07 | − | 4101.61i | 0.181165 | − | 0.313787i | ||||
\(16\) | 9679.88 | − | 16766.0i | 0.590813 | − | 1.02332i | ||||
\(17\) | −7432.84 | + | 12874.1i | −0.366930 | + | 0.635542i | −0.989084 | − | 0.147353i | \(-0.952925\pi\) |
0.622153 | + | 0.782895i | \(0.286258\pi\) | |||||||
\(18\) | −11523.3 | − | 19958.9i | −0.465717 | − | 0.806646i | ||||
\(19\) | −2699.93 | − | 4676.41i | −0.0903055 | − | 0.156414i | 0.817334 | − | 0.576164i | \(-0.195451\pi\) |
−0.907640 | + | 0.419750i | \(0.862118\pi\) | |||||||
\(20\) | 3828.60 | − | 6631.33i | 0.107013 | − | 0.185351i | ||||
\(21\) | 15434.7 | − | 26733.7i | 0.363690 | − | 0.629929i | ||||
\(22\) | −20571.7 | + | 35631.2i | −0.411899 | + | 0.713430i | ||||
\(23\) | 59967.8 | 1.02771 | 0.513855 | − | 0.857877i | \(-0.328217\pi\) | ||||
0.513855 | + | 0.857877i | \(0.328217\pi\) | |||||||
\(24\) | −11587.1 | − | 20069.5i | −0.171095 | − | 0.296345i | ||||
\(25\) | 7609.68 | − | 13180.4i | 0.0974039 | − | 0.168709i | ||||
\(26\) | 7185.06 | 0.0801722 | ||||||||
\(27\) | −75862.4 | −0.741743 | ||||||||
\(28\) | 24954.3 | − | 43222.1i | 0.214828 | − | 0.372094i | ||||
\(29\) | 180212. | 1.37211 | 0.686056 | − | 0.727549i | \(-0.259340\pi\) | ||||
0.686056 | + | 0.727549i | \(0.259340\pi\) | |||||||
\(30\) | −29816.0 | − | 51642.9i | −0.201616 | − | 0.349209i | ||||
\(31\) | 34853.9 | 0.210129 | 0.105064 | − | 0.994465i | \(-0.466495\pi\) | ||||
0.105064 | + | 0.994465i | \(0.466495\pi\) | |||||||
\(32\) | −43335.1 | − | 75058.6i | −0.233784 | − | 0.404926i | ||||
\(33\) | 30852.8 | + | 53438.5i | 0.149450 | + | 0.258855i | ||||
\(34\) | 93585.9 | + | 162096.i | 0.408352 | + | 0.707286i | ||||
\(35\) | −205005. | + | 355079.i | −0.808213 | + | 1.39987i | ||||
\(36\) | −55882.5 | −0.199626 | ||||||||
\(37\) | −27020.0 | + | 306923.i | −0.0876960 | + | 0.996147i | ||||
\(38\) | −67988.8 | −0.200999 | ||||||||
\(39\) | 5387.96 | − | 9332.22i | 0.0145445 | − | 0.0251918i | ||||
\(40\) | 153901. | + | 266565.i | 0.380217 | + | 0.658556i | ||||
\(41\) | −324720. | − | 562432.i | −0.735811 | − | 1.27446i | −0.954367 | − | 0.298637i | \(-0.903468\pi\) |
0.218556 | − | 0.975824i | \(-0.429865\pi\) | |||||||
\(42\) | −194336. | − | 336601.i | −0.404745 | − | 0.701039i | ||||
\(43\) | −549580. | −1.05412 | −0.527062 | − | 0.849827i | \(-0.676706\pi\) | ||||
−0.527062 | + | 0.849827i | \(0.676706\pi\) | |||||||
\(44\) | 49881.6 | + | 86397.4i | 0.0882787 | + | 0.152903i | ||||
\(45\) | 459087. | 0.751020 | ||||||||
\(46\) | 377523. | − | 653889.i | 0.571862 | − | 0.990494i | ||||
\(47\) | −1.06832e6 | −1.50092 | −0.750462 | − | 0.660913i | \(-0.770169\pi\) | ||||
−0.750462 | + | 0.660913i | \(0.770169\pi\) | |||||||
\(48\) | −365577. | −0.477128 | ||||||||
\(49\) | −924420. | + | 1.60114e6i | −1.12249 | + | 1.94421i | ||||
\(50\) | −95812.5 | − | 165952.i | −0.108399 | − | 0.187753i | ||||
\(51\) | 280714. | 0.296325 | ||||||||
\(52\) | 8711.05 | − | 15088.0i | 0.00859130 | − | 0.0148806i | ||||
\(53\) | 482032. | − | 834903.i | 0.444744 | − | 0.770319i | −0.553290 | − | 0.832988i | \(-0.686628\pi\) |
0.998034 | + | 0.0626694i | \(0.0199614\pi\) | |||||||
\(54\) | −477586. | + | 827204.i | −0.412737 | + | 0.714882i | ||||
\(55\) | −409788. | − | 709774.i | −0.332116 | − | 0.575242i | ||||
\(56\) | 1.00310e6 | + | 1.73743e6i | 0.763288 | + | 1.32205i | ||||
\(57\) | −50983.7 | + | 88306.3i | −0.0364644 | + | 0.0631582i | ||||
\(58\) | 1.13451e6 | − | 1.96503e6i | 0.763502 | − | 1.32242i | ||||
\(59\) | 582905. | − | 1.00962e6i | 0.369501 | − | 0.639995i | −0.619986 | − | 0.784613i | \(-0.712862\pi\) |
0.989488 | + | 0.144618i | \(0.0461952\pi\) | |||||||
\(60\) | −144594. | −0.0864212 | ||||||||
\(61\) | −374247. | − | 648215.i | −0.211108 | − | 0.365649i | 0.740954 | − | 0.671556i | \(-0.234374\pi\) |
−0.952061 | + | 0.305907i | \(0.901040\pi\) | |||||||
\(62\) | 219420. | − | 380047.i | 0.116925 | − | 0.202519i | ||||
\(63\) | 2.99226e6 | 1.50768 | ||||||||
\(64\) | 1.38679e6 | 0.661275 | ||||||||
\(65\) | −71563.2 | + | 123951.i | −0.0323216 | + | 0.0559827i | ||||
\(66\) | 776926. | 0.332641 | ||||||||
\(67\) | −712036. | − | 1.23328e6i | −0.289228 | − | 0.500957i | 0.684398 | − | 0.729109i | \(-0.260065\pi\) |
−0.973626 | + | 0.228151i | \(0.926732\pi\) | |||||||
\(68\) | 453848. | 0.175037 | ||||||||
\(69\) | −566196. | − | 980681.i | −0.207489 | − | 0.359382i | ||||
\(70\) | 2.58119e6 | + | 4.47075e6i | 0.899449 | + | 1.55789i | ||||
\(71\) | 2.01428e6 | + | 3.48884e6i | 0.667907 | + | 1.15685i | 0.978488 | + | 0.206302i | \(0.0661428\pi\) |
−0.310582 | + | 0.950547i | \(0.600524\pi\) | |||||||
\(72\) | 1.12318e6 | − | 1.94540e6i | 0.354637 | − | 0.614249i | ||||
\(73\) | −4.04944e6 | −1.21833 | −0.609165 | − | 0.793043i | \(-0.708495\pi\) | ||||
−0.609165 | + | 0.793043i | \(0.708495\pi\) | |||||||
\(74\) | 3.17659e6 | + | 2.22684e6i | 0.911276 | + | 0.638819i | ||||
\(75\) | −287393. | −0.0786613 | ||||||||
\(76\) | −82428.5 | + | 142770.i | −0.0215392 | + | 0.0373070i | ||||
\(77\) | −2.67094e6 | − | 4.62620e6i | −0.666725 | − | 1.15480i | ||||
\(78\) | −67839.1 | − | 117501.i | −0.0161863 | − | 0.0280356i | ||||
\(79\) | 15409.3 | + | 26689.7i | 0.00351632 | + | 0.00609044i | 0.867778 | − | 0.496952i | \(-0.165547\pi\) |
−0.864262 | + | 0.503042i | \(0.832214\pi\) | |||||||
\(80\) | 4.85562e6 | 1.06030 | ||||||||
\(81\) | −1.28529e6 | − | 2.22620e6i | −0.268723 | − | 0.465442i | ||||
\(82\) | −8.17702e6 | −1.63775 | ||||||||
\(83\) | 2.14696e6 | − | 3.71865e6i | 0.412146 | − | 0.713858i | −0.582978 | − | 0.812488i | \(-0.698113\pi\) |
0.995124 | + | 0.0986302i | \(0.0314461\pi\) | |||||||
\(84\) | −942441. | −0.173491 | ||||||||
\(85\) | −3.72846e6 | −0.658512 | ||||||||
\(86\) | −3.45985e6 | + | 5.99263e6i | −0.586560 | + | 1.01595i | ||||
\(87\) | −1.70150e6 | − | 2.94708e6i | −0.277022 | − | 0.479816i | ||||
\(88\) | −4.01025e6 | −0.627310 | ||||||||
\(89\) | 3.82252e6 | − | 6.62080e6i | 0.574758 | − | 0.995510i | −0.421310 | − | 0.906917i | \(-0.638430\pi\) |
0.996068 | − | 0.0885933i | \(-0.0282371\pi\) | |||||||
\(90\) | 2.89015e6 | − | 5.00589e6i | 0.417900 | − | 0.723824i | ||||
\(91\) | −466438. | + | 807895.i | −0.0648858 | + | 0.112385i | ||||
\(92\) | −915405. | − | 1.58553e6i | −0.122562 | − | 0.212284i | ||||
\(93\) | −329079. | − | 569982.i | −0.0424239 | − | 0.0734803i | ||||
\(94\) | −6.72554e6 | + | 1.16490e7i | −0.835179 | + | 1.44657i | ||||
\(95\) | 677168. | − | 1.17289e6i | 0.0810334 | − | 0.140354i | ||||
\(96\) | −818313. | + | 1.41736e6i | −0.0943996 | + | 0.163505i | ||||
\(97\) | −9.54599e6 | −1.06199 | −0.530995 | − | 0.847375i | \(-0.678182\pi\) | ||||
−0.530995 | + | 0.847375i | \(0.678182\pi\) | |||||||
\(98\) | 1.16392e7 | + | 2.01598e7i | 1.24920 | + | 2.16369i | ||||
\(99\) | −2.99065e6 | + | 5.17995e6i | −0.309772 | + | 0.536541i | ||||
\(100\) | −464646. | −0.0464646 | ||||||||
\(101\) | −1.07638e7 | −1.03954 | −0.519770 | − | 0.854306i | \(-0.673982\pi\) | ||||
−0.519770 | + | 0.854306i | \(0.673982\pi\) | |||||||
\(102\) | 1.76722e6 | − | 3.06091e6i | 0.164888 | − | 0.285595i | ||||
\(103\) | −5.27263e6 | −0.475442 | −0.237721 | − | 0.971333i | \(-0.576400\pi\) | ||||
−0.237721 | + | 0.971333i | \(0.576400\pi\) | |||||||
\(104\) | 350164. | + | 606502.i | 0.0305250 | + | 0.0528708i | ||||
\(105\) | 7.74236e6 | 0.652696 | ||||||||
\(106\) | −6.06920e6 | − | 1.05122e7i | −0.494949 | − | 0.857277i | ||||
\(107\) | 9.41135e6 | + | 1.63009e7i | 0.742692 | + | 1.28638i | 0.951265 | + | 0.308373i | \(0.0997846\pi\) |
−0.208574 | + | 0.978007i | \(0.566882\pi\) | |||||||
\(108\) | 1.15804e6 | + | 2.00578e6i | 0.0884583 | + | 0.153214i | ||||
\(109\) | 1.16982e7 | − | 2.02620e7i | 0.865223 | − | 1.49861i | −0.00160237 | − | 0.999999i | \(-0.500510\pi\) |
0.866825 | − | 0.498612i | \(-0.166157\pi\) | |||||||
\(110\) | −1.03192e7 | −0.739215 | ||||||||
\(111\) | 5.27437e6 | − | 2.45600e6i | 0.366050 | − | 0.170450i | ||||
\(112\) | 3.16482e7 | 2.12856 | ||||||||
\(113\) | −9.24994e6 | + | 1.60214e7i | −0.603065 | + | 1.04454i | 0.389289 | + | 0.921116i | \(0.372721\pi\) |
−0.992354 | + | 0.123424i | \(0.960613\pi\) | |||||||
\(114\) | 641929. | + | 1.11185e6i | 0.0405807 | + | 0.0702879i | ||||
\(115\) | 7.52026e6 | + | 1.30255e7i | 0.461095 | + | 0.798640i | ||||
\(116\) | −2.75092e6 | − | 4.76473e6i | −0.163635 | − | 0.283423i | ||||
\(117\) | 1.04454e6 | 0.0602941 | ||||||||
\(118\) | −7.33928e6 | − | 1.27120e7i | −0.411213 | − | 0.712241i | ||||
\(119\) | −2.43016e7 | −1.32197 | ||||||||
\(120\) | 2.90617e6 | − | 5.03363e6i | 0.153528 | − | 0.265918i | ||||
\(121\) | −8.80918e6 | −0.452050 | ||||||||
\(122\) | −9.42419e6 | −0.469877 | ||||||||
\(123\) | −6.13181e6 | + | 1.06206e7i | −0.297113 | + | 0.514614i | ||||
\(124\) | −532043. | − | 921526.i | −0.0250594 | − | 0.0434042i | ||||
\(125\) | 2.34117e7 | 1.07213 | ||||||||
\(126\) | 1.88376e7 | − | 3.26277e7i | 0.838935 | − | 1.45308i | ||||
\(127\) | 1.59078e6 | − | 2.75532e6i | 0.0689125 | − | 0.119360i | −0.829510 | − | 0.558491i | \(-0.811380\pi\) |
0.898423 | + | 0.439131i | \(0.144714\pi\) | |||||||
\(128\) | 1.42774e7 | − | 2.47291e7i | 0.601746 | − | 1.04225i | ||||
\(129\) | 5.18896e6 | + | 8.98754e6i | 0.212822 | + | 0.368618i | ||||
\(130\) | 901043. | + | 1.56065e6i | 0.0359703 | + | 0.0623023i | ||||
\(131\) | 1.39265e7 | − | 2.41215e7i | 0.541245 | − | 0.937463i | −0.457588 | − | 0.889164i | \(-0.651287\pi\) |
0.998833 | − | 0.0482991i | \(-0.0153800\pi\) | |||||||
\(132\) | 941932. | − | 1.63147e6i | 0.0356460 | − | 0.0617407i | ||||
\(133\) | 4.41368e6 | − | 7.64472e6i | 0.162675 | − | 0.281761i | ||||
\(134\) | −1.79303e7 | −0.643755 | ||||||||
\(135\) | −9.51352e6 | − | 1.64779e7i | −0.332792 | − | 0.576413i | ||||
\(136\) | −9.12183e6 | + | 1.57995e7i | −0.310954 | + | 0.538588i | ||||
\(137\) | −1.47887e7 | −0.491368 | −0.245684 | − | 0.969350i | \(-0.579013\pi\) | ||||
−0.245684 | + | 0.969350i | \(0.579013\pi\) | |||||||
\(138\) | −1.42578e7 | −0.461823 | ||||||||
\(139\) | −7.47473e6 | + | 1.29466e7i | −0.236072 | + | 0.408888i | −0.959584 | − | 0.281424i | \(-0.909193\pi\) |
0.723512 | + | 0.690312i | \(0.242527\pi\) | |||||||
\(140\) | 1.25176e7 | 0.385542 | ||||||||
\(141\) | 1.00867e7 | + | 1.74707e7i | 0.303029 | + | 0.524861i | ||||
\(142\) | 5.07231e7 | 1.48661 | ||||||||
\(143\) | −932373. | − | 1.61492e6i | −0.0266633 | − | 0.0461822i | ||||
\(144\) | −1.77182e7 | − | 3.06889e7i | −0.494483 | − | 0.856470i | ||||
\(145\) | 2.25994e7 | + | 3.91434e7i | 0.615615 | + | 1.06628i | ||||
\(146\) | −2.54930e7 | + | 4.41551e7i | −0.677931 | + | 1.17421i | ||||
\(147\) | 3.49123e7 | 0.906500 | ||||||||
\(148\) | 8.52741e6 | − | 3.97077e6i | 0.216223 | − | 0.100684i | ||||
\(149\) | 9.99917e6 | 0.247635 | 0.123818 | − | 0.992305i | \(-0.460486\pi\) | ||||
0.123818 | + | 0.992305i | \(0.460486\pi\) | |||||||
\(150\) | −1.80926e6 | + | 3.13373e6i | −0.0437706 | + | 0.0758128i | ||||
\(151\) | −1.97815e7 | − | 3.42626e7i | −0.467564 | − | 0.809844i | 0.531749 | − | 0.846902i | \(-0.321535\pi\) |
−0.999313 | + | 0.0370575i | \(0.988202\pi\) | |||||||
\(152\) | −3.31344e6 | − | 5.73904e6i | −0.0765290 | − | 0.132552i | ||||
\(153\) | 1.36052e7 | + | 2.35649e7i | 0.307104 | + | 0.531920i | ||||
\(154\) | −6.72589e7 | −1.48398 | ||||||||
\(155\) | 4.37085e6 | + | 7.57054e6i | 0.0942769 | + | 0.163292i | ||||
\(156\) | −328988. | −0.00693815 | ||||||||
\(157\) | 4.23608e7 | − | 7.33711e7i | 0.873607 | − | 1.51313i | 0.0153668 | − | 0.999882i | \(-0.495108\pi\) |
0.858240 | − | 0.513249i | \(-0.171558\pi\) | |||||||
\(158\) | 388033. | 0.00782652 | ||||||||
\(159\) | −1.82048e7 | −0.359166 | ||||||||
\(160\) | 1.08689e7 | − | 1.88255e7i | 0.209780 | − | 0.363350i | ||||
\(161\) | 4.90159e7 | + | 8.48981e7i | 0.925650 | + | 1.60327i | ||||
\(162\) | −3.23659e7 | −0.598117 | ||||||||
\(163\) | −3.66314e7 | + | 6.34475e7i | −0.662518 | + | 1.14751i | 0.317434 | + | 0.948280i | \(0.397179\pi\) |
−0.979952 | + | 0.199234i | \(0.936155\pi\) | |||||||
\(164\) | −9.91368e6 | + | 1.71710e7i | −0.175502 | + | 0.303978i | ||||
\(165\) | −7.73818e6 | + | 1.34029e7i | −0.134105 | + | 0.232277i | ||||
\(166\) | −2.70321e7 | − | 4.68210e7i | −0.458671 | − | 0.794442i | ||||
\(167\) | 3.28576e7 | + | 5.69110e7i | 0.545919 | + | 0.945559i | 0.998548 | + | 0.0538607i | \(0.0171527\pi\) |
−0.452629 | + | 0.891699i | \(0.649514\pi\) | |||||||
\(168\) | 1.89420e7 | − | 3.28085e7i | 0.308207 | − | 0.533831i | ||||
\(169\) | 3.12114e7 | − | 5.40598e7i | 0.497405 | − | 0.861531i | ||||
\(170\) | −2.34723e7 | + | 4.06552e7i | −0.366424 | + | 0.634665i | ||||
\(171\) | −9.88399e6 | −0.151163 | ||||||||
\(172\) | 8.38932e6 | + | 1.45307e7i | 0.125712 | + | 0.217740i | ||||
\(173\) | −3.06876e7 | + | 5.31524e7i | −0.450610 | + | 0.780480i | −0.998424 | − | 0.0561204i | \(-0.982127\pi\) |
0.547814 | + | 0.836600i | \(0.315460\pi\) | |||||||
\(174\) | −4.28467e7 | −0.616588 | ||||||||
\(175\) | 2.48797e7 | 0.350924 | ||||||||
\(176\) | −3.16311e7 | + | 5.47867e7i | −0.437341 | + | 0.757497i | ||||
\(177\) | −2.20144e7 | −0.298401 | ||||||||
\(178\) | −4.81289e7 | − | 8.33616e7i | −0.639640 | − | 1.10789i | ||||
\(179\) | −7.39476e7 | −0.963692 | −0.481846 | − | 0.876256i | \(-0.660034\pi\) | ||||
−0.481846 | + | 0.876256i | \(0.660034\pi\) | |||||||
\(180\) | −7.00795e6 | − | 1.21381e7i | −0.0895647 | − | 0.155131i | ||||
\(181\) | −5.61014e7 | − | 9.71704e7i | −0.703232 | − | 1.21803i | −0.967326 | − | 0.253536i | \(-0.918406\pi\) |
0.264094 | − | 0.964497i | \(-0.414927\pi\) | |||||||
\(182\) | 5.87286e6 | + | 1.01721e7i | 0.0722104 | + | 0.125072i | ||||
\(183\) | −7.06704e6 | + | 1.22405e7i | −0.0852430 | + | 0.147645i | ||||
\(184\) | 7.35944e7 | 0.870928 | ||||||||
\(185\) | −7.00545e7 | + | 3.26207e7i | −0.813458 | + | 0.378785i | ||||
\(186\) | −8.28679e6 | −0.0944259 | ||||||||
\(187\) | 2.42884e7 | − | 4.20688e7i | 0.271615 | − | 0.470451i | ||||
\(188\) | 1.63079e7 | + | 2.82460e7i | 0.178996 | + | 0.310031i | ||||
\(189\) | −6.20077e7 | − | 1.07400e8i | −0.668081 | − | 1.15715i | ||||
\(190\) | −8.52614e6 | − | 1.47677e7i | −0.0901809 | − | 0.156198i | ||||
\(191\) | 6.06221e7 | 0.629526 | 0.314763 | − | 0.949170i | \(-0.398075\pi\) | ||||
0.314763 | + | 0.949170i | \(0.398075\pi\) | |||||||
\(192\) | −1.30937e7 | − | 2.26789e7i | −0.133508 | − | 0.231243i | ||||
\(193\) | 7.20386e6 | 0.0721298 | 0.0360649 | − | 0.999349i | \(-0.488518\pi\) | ||||
0.0360649 | + | 0.999349i | \(0.488518\pi\) | |||||||
\(194\) | −6.00962e7 | + | 1.04090e8i | −0.590936 | + | 1.02353i | ||||
\(195\) | 2.70271e6 | 0.0261022 | ||||||||
\(196\) | 5.64449e7 | 0.535462 | ||||||||
\(197\) | 7.40157e7 | − | 1.28199e8i | 0.689751 | − | 1.19468i | −0.282168 | − | 0.959365i | \(-0.591053\pi\) |
0.971918 | − | 0.235318i | \(-0.0756132\pi\) | |||||||
\(198\) | 3.76548e7 | + | 6.52201e7i | 0.344741 | + | 0.597109i | ||||
\(199\) | −2.73003e7 | −0.245573 | −0.122787 | − | 0.992433i | \(-0.539183\pi\) | ||||
−0.122787 | + | 0.992433i | \(0.539183\pi\) | |||||||
\(200\) | 9.33885e6 | − | 1.61754e7i | 0.0825446 | − | 0.142971i | ||||
\(201\) | −1.34456e7 | + | 2.32885e7i | −0.116787 | + | 0.202281i | ||||
\(202\) | −6.77628e7 | + | 1.17369e8i | −0.578444 | + | 1.00190i | ||||
\(203\) | 1.47300e8 | + | 2.55131e8i | 1.23585 | + | 2.14056i | ||||
\(204\) | −4.28509e6 | − | 7.42199e6i | −0.0353390 | − | 0.0612089i | ||||
\(205\) | 8.14431e7 | − | 1.41064e8i | 0.660261 | − | 1.14361i | ||||
\(206\) | −3.31935e7 | + | 5.74929e7i | −0.264556 | + | 0.458225i | ||||
\(207\) | 5.48831e7 | − | 9.50603e7i | 0.430073 | − | 0.744908i | ||||
\(208\) | 1.10478e7 | 0.0851242 | ||||||||
\(209\) | 8.82260e6 | + | 1.52812e7i | 0.0668474 | + | 0.115783i | ||||
\(210\) | 4.87415e7 | − | 8.44228e7i | 0.363188 | − | 0.629060i | ||||
\(211\) | 1.38799e8 | 1.01718 | 0.508590 | − | 0.861009i | \(-0.330167\pi\) | ||||
0.508590 | + | 0.861009i | \(0.330167\pi\) | |||||||
\(212\) | −2.94328e7 | −0.212156 | ||||||||
\(213\) | 3.80364e7 | − | 6.58810e7i | 0.269694 | − | 0.467123i | ||||
\(214\) | 2.36994e8 | 1.65306 | ||||||||
\(215\) | −6.89201e7 | − | 1.19373e8i | −0.472946 | − | 0.819166i | ||||
\(216\) | −9.31008e7 | −0.628587 | ||||||||
\(217\) | 2.84886e7 | + | 4.93437e7i | 0.189261 | + | 0.327810i | ||||
\(218\) | −1.47291e8 | − | 2.55116e8i | −0.962895 | − | 1.66778i | ||||
\(219\) | 3.82335e7 | + | 6.62224e7i | 0.245974 | + | 0.426040i | ||||
\(220\) | −1.25108e7 | + | 2.16693e7i | −0.0792147 | + | 0.137204i | ||||
\(221\) | −8.48320e6 | −0.0528673 | ||||||||
\(222\) | 6.42422e6 | − | 7.29734e7i | 0.0394081 | − | 0.447640i | ||||
\(223\) | 6.20526e7 | 0.374708 | 0.187354 | − | 0.982292i | \(-0.440009\pi\) | ||||
0.187354 | + | 0.982292i | \(0.440009\pi\) | |||||||
\(224\) | 7.08418e7 | − | 1.22702e8i | 0.421135 | − | 0.729427i | ||||
\(225\) | −1.39289e7 | − | 2.41256e7i | −0.0815226 | − | 0.141201i | ||||
\(226\) | 1.16465e8 | + | 2.01723e8i | 0.671143 | + | 1.16245i | ||||
\(227\) | 7.62857e7 | + | 1.32131e8i | 0.432865 | + | 0.749744i | 0.997119 | − | 0.0758572i | \(-0.0241693\pi\) |
−0.564254 | + | 0.825601i | \(0.690836\pi\) | |||||||
\(228\) | 3.11305e6 | 0.0173946 | ||||||||
\(229\) | 2.81538e7 | + | 4.87637e7i | 0.154922 | + | 0.268332i | 0.933031 | − | 0.359797i | \(-0.117154\pi\) |
−0.778109 | + | 0.628129i | \(0.783821\pi\) | |||||||
\(230\) | 1.89373e8 | 1.02629 | ||||||||
\(231\) | −5.04363e7 | + | 8.73583e7i | −0.269216 | + | 0.466296i | ||||
\(232\) | 2.21162e8 | 1.16279 | ||||||||
\(233\) | −7.32717e6 | −0.0379481 | −0.0189741 | − | 0.999820i | \(-0.506040\pi\) | ||||
−0.0189741 | + | 0.999820i | \(0.506040\pi\) | |||||||
\(234\) | 6.57584e6 | − | 1.13897e7i | 0.0335502 | − | 0.0581107i | ||||
\(235\) | −1.33973e8 | − | 2.32047e8i | −0.673409 | − | 1.16638i | ||||
\(236\) | −3.55921e7 | −0.176263 | ||||||||
\(237\) | 290979. | − | 503991.i | 0.00141985 | − | 0.00245925i | ||||
\(238\) | −1.52989e8 | + | 2.64985e8i | −0.735598 | + | 1.27409i | ||||
\(239\) | −1.36855e8 | + | 2.37039e8i | −0.648436 | + | 1.12312i | 0.335060 | + | 0.942197i | \(0.391243\pi\) |
−0.983496 | + | 0.180928i | \(0.942090\pi\) | |||||||
\(240\) | −4.58452e7 | − | 7.94062e7i | −0.214069 | − | 0.370779i | ||||
\(241\) | −1.39506e8 | − | 2.41632e8i | −0.641998 | − | 1.11197i | −0.984986 | − | 0.172634i | \(-0.944772\pi\) |
0.342988 | − | 0.939340i | \(-0.388561\pi\) | |||||||
\(242\) | −5.54576e7 | + | 9.60554e7i | −0.251540 | + | 0.435680i | ||||
\(243\) | −1.07226e8 | + | 1.85721e8i | −0.479379 | + | 0.830308i | ||||
\(244\) | −1.14257e7 | + | 1.97899e7i | −0.0503523 | + | 0.0872128i | ||||
\(245\) | −4.63707e8 | −2.01448 | ||||||||
\(246\) | 7.72048e7 | + | 1.33723e8i | 0.330652 | + | 0.572707i | ||||
\(247\) | 1.54073e6 | − | 2.66862e6i | 0.00650560 | − | 0.0112680i | ||||
\(248\) | 4.27738e7 | 0.178073 | ||||||||
\(249\) | −8.10837e7 | −0.332840 | ||||||||
\(250\) | 1.47387e8 | − | 2.55281e8i | 0.596580 | − | 1.03331i | ||||
\(251\) | −4.95378e7 | −0.197733 | −0.0988663 | − | 0.995101i | \(-0.531522\pi\) | ||||
−0.0988663 | + | 0.995101i | \(0.531522\pi\) | |||||||
\(252\) | −4.56768e7 | − | 7.91145e7i | −0.179802 | − | 0.311425i | ||||
\(253\) | −1.95958e8 | −0.760748 | ||||||||
\(254\) | −2.00293e7 | − | 3.46918e7i | −0.0766918 | − | 0.132834i | ||||
\(255\) | 3.52030e7 | + | 6.09733e7i | 0.132950 | + | 0.230276i | ||||
\(256\) | −9.10096e7 | − | 1.57633e8i | −0.339037 | − | 0.587230i | ||||
\(257\) | 1.48021e8 | − | 2.56380e8i | 0.543949 | − | 0.942147i | −0.454724 | − | 0.890633i | \(-0.650262\pi\) |
0.998672 | − | 0.0515142i | \(-0.0164047\pi\) | |||||||
\(258\) | 1.30667e8 | 0.473693 | ||||||||
\(259\) | −4.56605e8 | + | 2.12617e8i | −1.63302 | + | 0.760412i | ||||
\(260\) | 4.36964e6 | 0.0154184 | ||||||||
\(261\) | 1.64931e8 | − | 2.85669e8i | 0.574197 | − | 0.994539i | ||||
\(262\) | −1.75347e8 | − | 3.03710e8i | −0.602344 | − | 1.04329i | ||||
\(263\) | 1.05473e8 | + | 1.82685e8i | 0.357517 | + | 0.619238i | 0.987545 | − | 0.157334i | \(-0.0502900\pi\) |
−0.630028 | + | 0.776572i | \(0.716957\pi\) | |||||||
\(264\) | 3.78635e7 | + | 6.55815e7i | 0.126651 | + | 0.219365i | ||||
\(265\) | 2.41797e8 | 0.798160 | ||||||||
\(266\) | −5.55721e7 | − | 9.62537e7i | −0.181039 | − | 0.313568i | ||||
\(267\) | −1.44364e8 | −0.464162 | ||||||||
\(268\) | −2.17384e7 | + | 3.76520e7i | −0.0689852 | + | 0.119486i | ||||
\(269\) | 1.83358e7 | 0.0574336 | 0.0287168 | − | 0.999588i | \(-0.490858\pi\) | ||||
0.0287168 | + | 0.999588i | \(0.490858\pi\) | |||||||
\(270\) | −2.39567e8 | −0.740719 | ||||||||
\(271\) | −2.69284e8 | + | 4.66414e8i | −0.821899 | + | 1.42357i | 0.0823667 | + | 0.996602i | \(0.473752\pi\) |
−0.904266 | + | 0.426969i | \(0.859581\pi\) | |||||||
\(272\) | 1.43898e8 | + | 2.49239e8i | 0.433574 | + | 0.750973i | ||||
\(273\) | 1.76158e7 | 0.0524004 | ||||||||
\(274\) | −9.31011e7 | + | 1.61256e8i | −0.273419 | + | 0.473575i | ||||
\(275\) | −2.48663e7 | + | 4.30697e7i | −0.0721019 | + | 0.124884i | ||||
\(276\) | −1.72859e7 | + | 2.99401e7i | −0.0494892 | + | 0.0857179i | ||||
\(277\) | 1.72627e8 | + | 2.98999e8i | 0.488011 | + | 0.845260i | 0.999905 | − | 0.0137885i | \(-0.00438916\pi\) |
−0.511894 | + | 0.859049i | \(0.671056\pi\) | |||||||
\(278\) | 9.41133e7 | + | 1.63009e8i | 0.262721 | + | 0.455046i | ||||
\(279\) | 3.18986e7 | − | 5.52500e7i | 0.0879341 | − | 0.152306i | ||||
\(280\) | −2.51589e8 | + | 4.35764e8i | −0.684917 | + | 1.18631i | ||||
\(281\) | −8.93412e7 | + | 1.54744e8i | −0.240204 | + | 0.416045i | −0.960772 | − | 0.277339i | \(-0.910548\pi\) |
0.720568 | + | 0.693384i | \(0.243881\pi\) | |||||||
\(282\) | 2.54001e8 | 0.674473 | ||||||||
\(283\) | −2.50278e8 | − | 4.33494e8i | −0.656403 | − | 1.13692i | −0.981540 | − | 0.191256i | \(-0.938744\pi\) |
0.325138 | − | 0.945667i | \(-0.394589\pi\) | |||||||
\(284\) | 6.14958e7 | − | 1.06514e8i | 0.159306 | − | 0.275926i | ||||
\(285\) | −2.55744e7 | −0.0654408 | ||||||||
\(286\) | −2.34788e7 | −0.0593464 | ||||||||
\(287\) | 5.30834e8 | − | 9.19432e8i | 1.32548 | − | 2.29579i | ||||
\(288\) | −1.58643e8 | −0.391333 | ||||||||
\(289\) | 9.46750e7 | + | 1.63982e8i | 0.230724 | + | 0.399626i | ||||
\(290\) | 5.69093e8 | 1.37022 | ||||||||
\(291\) | 9.01302e7 | + | 1.56110e8i | 0.214410 | + | 0.371369i | ||||
\(292\) | 6.18145e7 | + | 1.07066e8i | 0.145295 | + | 0.251658i | ||||
\(293\) | 2.52432e8 | + | 4.37225e8i | 0.586284 | + | 1.01547i | 0.994714 | + | 0.102684i | \(0.0327430\pi\) |
−0.408430 | + | 0.912790i | \(0.633924\pi\) | |||||||
\(294\) | 2.19788e8 | − | 3.80684e8i | 0.504416 | − | 0.873673i | ||||
\(295\) | 2.92397e8 | 0.663126 | ||||||||
\(296\) | −3.31599e7 | + | 3.76666e8i | −0.0743176 | + | 0.844181i | ||||
\(297\) | 2.47897e8 | 0.549065 | ||||||||
\(298\) | 6.29491e7 | − | 1.09031e8i | 0.137795 | − | 0.238668i | ||||
\(299\) | 1.71105e7 | + | 2.96363e7i | 0.0370181 | + | 0.0641172i | ||||
\(300\) | 4.38704e6 | + | 7.59857e6i | 0.00938095 | + | 0.0162483i | ||||
\(301\) | −4.49211e8 | − | 7.78056e8i | −0.949440 | − | 1.64448i | ||||
\(302\) | −4.98134e8 | −1.04069 | ||||||||
\(303\) | 1.01628e8 | + | 1.76026e8i | 0.209877 | + | 0.363518i | ||||
\(304\) | −1.04540e8 | −0.213415 | ||||||||
\(305\) | 9.38649e7 | − | 1.62579e8i | 0.189432 | − | 0.328106i | ||||
\(306\) | 3.42603e8 | 0.683543 | ||||||||
\(307\) | −4.27954e8 | −0.844136 | −0.422068 | − | 0.906564i | \(-0.638696\pi\) | ||||
−0.422068 | + | 0.906564i | \(0.638696\pi\) | |||||||
\(308\) | −8.15435e7 | + | 1.41238e8i | −0.159024 | + | 0.275437i | ||||
\(309\) | 4.97825e7 | + | 8.62259e7i | 0.0959892 | + | 0.166258i | ||||
\(310\) | 1.10066e8 | 0.209839 | ||||||||
\(311\) | 4.31780e7 | − | 7.47865e7i | 0.0813957 | − | 0.140981i | −0.822454 | − | 0.568832i | \(-0.807396\pi\) |
0.903850 | + | 0.427850i | \(0.140729\pi\) | |||||||
\(312\) | 6.61228e6 | − | 1.14528e7i | 0.0123257 | − | 0.0213487i | ||||
\(313\) | −8.66189e7 | + | 1.50028e8i | −0.159664 | + | 0.276546i | −0.934748 | − | 0.355313i | \(-0.884374\pi\) |
0.775083 | + | 0.631859i | \(0.217708\pi\) | |||||||
\(314\) | −5.33360e8 | − | 9.23806e8i | −0.972224 | − | 1.68394i | ||||
\(315\) | 3.75245e8 | + | 6.49943e8i | 0.676437 | + | 1.17162i | ||||
\(316\) | 470444. | − | 814834.i | 0.000838694 | − | 0.00145266i | ||||
\(317\) | 4.74274e8 | − | 8.21467e8i | 0.836223 | − | 1.44838i | −0.0568077 | − | 0.998385i | \(-0.518092\pi\) |
0.893031 | − | 0.449996i | \(-0.148574\pi\) | |||||||
\(318\) | −1.14607e8 | + | 1.98505e8i | −0.199855 | + | 0.346159i | ||||
\(319\) | −5.88881e8 | −1.01569 | ||||||||
\(320\) | 1.73911e8 | + | 3.01223e8i | 0.296689 | + | 0.513881i | ||||
\(321\) | 1.77718e8 | − | 3.07816e8i | 0.299891 | − | 0.519427i | ||||
\(322\) | 1.23431e9 | 2.06028 | ||||||||
\(323\) | 8.02725e7 | 0.132543 | ||||||||
\(324\) | −3.92399e7 | + | 6.79656e7i | −0.0640945 | + | 0.111015i | ||||
\(325\) | 8.68503e6 | 0.0140339 | ||||||||
\(326\) | 4.61222e8 | + | 7.98859e8i | 0.737306 | + | 1.27705i | ||||
\(327\) | −4.41804e8 | −0.698736 | ||||||||
\(328\) | −3.98508e8 | − | 6.90235e8i | −0.623560 | − | 1.08004i | ||||
\(329\) | −8.73214e8 | − | 1.51245e9i | −1.35187 | − | 2.34151i | ||||
\(330\) | 9.74304e7 | + | 1.68754e8i | 0.149244 | + | 0.258497i | ||||
\(331\) | −3.11571e8 | + | 5.39657e8i | −0.472237 | + | 0.817938i | −0.999495 | − | 0.0317671i | \(-0.989887\pi\) |
0.527259 | + | 0.849705i | \(0.323220\pi\) | |||||||
\(332\) | −1.31093e8 | −0.196606 | ||||||||
\(333\) | 4.61802e8 | + | 3.23731e8i | 0.685332 | + | 0.480429i | ||||
\(334\) | 8.27411e8 | 1.21509 | ||||||||
\(335\) | 1.78586e8 | − | 3.09320e8i | 0.259531 | − | 0.449522i | ||||
\(336\) | −2.98812e8 | − | 5.17558e8i | −0.429745 | − | 0.744340i | ||||
\(337\) | 3.42146e8 | + | 5.92614e8i | 0.486975 | + | 0.843466i | 0.999888 | − | 0.0149749i | \(-0.00476683\pi\) |
−0.512913 | + | 0.858441i | \(0.671433\pi\) | |||||||
\(338\) | −3.92979e8 | − | 6.80660e8i | −0.553555 | − | 0.958786i | ||||
\(339\) | 3.49340e8 | 0.487023 | ||||||||
\(340\) | 5.69148e7 | + | 9.85794e7i | 0.0785324 | + | 0.136022i | ||||
\(341\) | −1.13893e8 | −0.155545 | ||||||||
\(342\) | −6.22240e7 | + | 1.07775e8i | −0.0841137 | + | 0.145689i | ||||
\(343\) | −1.67610e9 | −2.24269 | ||||||||
\(344\) | −6.74463e8 | −0.893313 | ||||||||
\(345\) | 1.42008e8 | − | 2.45965e8i | 0.186185 | − | 0.322482i | ||||
\(346\) | 3.86383e8 | + | 6.69235e8i | 0.501478 | + | 0.868585i | ||||
\(347\) | 6.59456e8 | 0.847292 | 0.423646 | − | 0.905828i | \(-0.360750\pi\) | ||||
0.423646 | + | 0.905828i | \(0.360750\pi\) | |||||||
\(348\) | −5.19466e7 | + | 8.99742e7i | −0.0660739 | + | 0.114443i | ||||
\(349\) | 1.27398e8 | − | 2.20660e8i | 0.160425 | − | 0.277865i | −0.774596 | − | 0.632456i | \(-0.782047\pi\) |
0.935021 | + | 0.354591i | \(0.115380\pi\) | |||||||
\(350\) | 1.56629e8 | − | 2.71289e8i | 0.195269 | − | 0.338216i | ||||
\(351\) | −2.16457e7 | − | 3.74914e7i | −0.0267175 | − | 0.0462761i | ||||
\(352\) | 1.41607e8 | + | 2.45271e8i | 0.173056 | + | 0.299741i | ||||
\(353\) | −2.88949e8 | + | 5.00474e8i | −0.349631 | + | 0.605578i | −0.986184 | − | 0.165655i | \(-0.947026\pi\) |
0.636553 | + | 0.771233i | \(0.280360\pi\) | |||||||
\(354\) | −1.38590e8 | + | 2.40045e8i | −0.166043 | + | 0.287596i | ||||
\(355\) | −5.05202e8 | + | 8.75035e8i | −0.599329 | + | 1.03807i | ||||
\(356\) | −2.33403e8 | −0.274177 | ||||||||
\(357\) | 2.29448e8 | + | 3.97415e8i | 0.266898 | + | 0.462280i | ||||
\(358\) | −4.65532e8 | + | 8.06325e8i | −0.536240 | + | 0.928794i | ||||
\(359\) | 1.14540e9 | 1.30656 | 0.653278 | − | 0.757118i | \(-0.273393\pi\) | ||||
0.653278 | + | 0.757118i | \(0.273393\pi\) | |||||||
\(360\) | 5.63407e8 | 0.636449 | ||||||||
\(361\) | 4.32357e8 | − | 7.48864e8i | 0.483690 | − | 0.837775i | ||||
\(362\) | −1.41273e9 | −1.56523 | ||||||||
\(363\) | 8.31735e7 | + | 1.44061e8i | 0.0912665 | + | 0.158078i | ||||
\(364\) | 2.84806e7 | 0.0309524 | ||||||||
\(365\) | −5.07820e8 | − | 8.79570e8i | −0.546619 | − | 0.946772i | ||||
\(366\) | 8.89802e7 | + | 1.54118e8i | 0.0948658 | + | 0.164312i | ||||
\(367\) | 9.40165e8 | + | 1.62841e9i | 0.992825 | + | 1.71962i | 0.599967 | + | 0.800025i | \(0.295180\pi\) |
0.392858 | + | 0.919599i | \(0.371486\pi\) | |||||||
\(368\) | 5.80481e8 | − | 1.00542e9i | 0.607184 | − | 1.05167i | ||||
\(369\) | −1.18875e9 | −1.23168 | ||||||||
\(370\) | −8.53269e7 | + | 9.69237e8i | −0.0875750 | + | 0.994773i | ||||
\(371\) | 1.57600e9 | 1.60231 | ||||||||
\(372\) | −1.00468e7 | + | 1.74015e7i | −0.0101187 | + | 0.0175261i | ||||
\(373\) | 5.98933e8 | + | 1.03738e9i | 0.597582 | + | 1.03504i | 0.993177 | + | 0.116618i | \(0.0372052\pi\) |
−0.395595 | + | 0.918425i | \(0.629461\pi\) | |||||||
\(374\) | −3.05813e8 | − | 5.29683e8i | −0.302277 | − | 0.523559i | ||||
\(375\) | −2.21046e8 | − | 3.82862e8i | −0.216458 | − | 0.374915i | ||||
\(376\) | −1.31108e9 | −1.27195 | ||||||||
\(377\) | 5.14195e7 | + | 8.90611e7i | 0.0494234 | + | 0.0856039i | ||||
\(378\) | −1.56146e9 | −1.48700 | ||||||||
\(379\) | 4.13194e8 | − | 7.15673e8i | 0.389868 | − | 0.675270i | −0.602564 | − | 0.798071i | \(-0.705854\pi\) |
0.992431 | + | 0.122800i | \(0.0391875\pi\) | |||||||
\(380\) | −4.13478e7 | −0.0386553 | ||||||||
\(381\) | −6.00787e7 | −0.0556523 | ||||||||
\(382\) | 3.81642e8 | − | 6.61024e8i | 0.350295 | − | 0.606730i | ||||
\(383\) | 5.91130e8 | + | 1.02387e9i | 0.537635 | + | 0.931211i | 0.999031 | + | 0.0440169i | \(0.0140155\pi\) |
−0.461396 | + | 0.887194i | \(0.652651\pi\) | |||||||
\(384\) | −5.39209e8 | −0.485957 | ||||||||
\(385\) | 6.69898e8 | − | 1.16030e9i | 0.598269 | − | 1.03623i | ||||
\(386\) | 4.53514e7 | − | 7.85509e7i | 0.0401361 | − | 0.0695178i | ||||
\(387\) | −5.02981e8 | + | 8.71188e8i | −0.441126 | + | 0.764053i | ||||
\(388\) | 1.45719e8 | + | 2.52393e8i | 0.126650 | + | 0.219364i | ||||
\(389\) | 7.12007e7 | + | 1.23323e8i | 0.0613283 | + | 0.106224i | 0.895059 | − | 0.445947i | \(-0.147133\pi\) |
−0.833731 | + | 0.552171i | \(0.813800\pi\) | |||||||
\(390\) | 1.70147e7 | − | 2.94703e7i | 0.0145244 | − | 0.0251570i | ||||
\(391\) | −4.45731e8 | + | 7.72029e8i | −0.377098 | + | 0.653153i | ||||
\(392\) | −1.13448e9 | + | 1.96497e9i | −0.951251 | + | 1.64761i | ||||
\(393\) | −5.25960e8 | −0.437098 | ||||||||
\(394\) | −9.31922e8 | − | 1.61414e9i | −0.767614 | − | 1.32955i | ||||
\(395\) | −3.86480e6 | + | 6.69404e6i | −0.00315528 | + | 0.00546510i | ||||
\(396\) | 1.82608e8 | 0.147770 | ||||||||
\(397\) | −1.69466e9 | −1.35930 | −0.679650 | − | 0.733536i | \(-0.737868\pi\) | ||||
−0.679650 | + | 0.733536i | \(0.737868\pi\) | |||||||
\(398\) | −1.71867e8 | + | 2.97683e8i | −0.136648 | + | 0.236681i | ||||
\(399\) | −1.66690e8 | −0.131373 | ||||||||
\(400\) | −1.47322e8 | − | 2.55168e8i | −0.115095 | − | 0.199350i | ||||
\(401\) | −1.78839e9 | −1.38502 | −0.692511 | − | 0.721407i | \(-0.743496\pi\) | ||||
−0.692511 | + | 0.721407i | \(0.743496\pi\) | |||||||
\(402\) | 1.69292e8 | + | 2.93223e8i | 0.129971 | + | 0.225116i | ||||
\(403\) | 9.94481e6 | + | 1.72249e7i | 0.00756883 | + | 0.0131096i | ||||
\(404\) | 1.64309e8 | + | 2.84591e8i | 0.123973 | + | 0.214727i | ||||
\(405\) | 3.22365e8 | − | 5.58352e8i | 0.241132 | − | 0.417653i | ||||
\(406\) | 3.70926e9 | 2.75072 | ||||||||
\(407\) | 8.82939e7 | − | 1.00294e9i | 0.0649157 | − | 0.737384i | ||||
\(408\) | 3.44502e8 | 0.251120 | ||||||||
\(409\) | 1.15646e9 | − | 2.00305e9i | 0.835797 | − | 1.44764i | −0.0575834 | − | 0.998341i | \(-0.518340\pi\) |
0.893380 | − | 0.449302i | \(-0.148327\pi\) | |||||||
\(410\) | −1.02544e9 | − | 1.77611e9i | −0.734795 | − | 1.27270i | ||||
\(411\) | 1.39630e8 | + | 2.41846e8i | 0.0992047 | + | 0.171828i | ||||
\(412\) | 8.04865e7 | + | 1.39407e8i | 0.0567000 | + | 0.0982073i | ||||
\(413\) | 1.90580e9 | 1.33123 | ||||||||
\(414\) | −6.91025e8 | − | 1.19689e9i | −0.478622 | − | 0.828998i | ||||
\(415\) | 1.07696e9 | 0.739658 | ||||||||
\(416\) | 2.47295e7 | − | 4.28327e7i | 0.0168418 | − | 0.0291708i | ||||
\(417\) | 2.82296e8 | 0.190646 | ||||||||
\(418\) | 2.22168e8 | 0.148787 | ||||||||
\(419\) | −2.83769e8 | + | 4.91502e8i | −0.188459 | + | 0.326420i | −0.944736 | − | 0.327831i | \(-0.893682\pi\) |
0.756278 | + | 0.654250i | \(0.227016\pi\) | |||||||
\(420\) | −1.18187e8 | − | 2.04705e8i | −0.0778388 | − | 0.134821i | ||||
\(421\) | −1.84012e9 | −1.20187 | −0.600937 | − | 0.799297i | \(-0.705206\pi\) | ||||
−0.600937 | + | 0.799297i | \(0.705206\pi\) | |||||||
\(422\) | 8.73800e8 | − | 1.51347e9i | 0.566003 | − | 0.980346i | ||||
\(423\) | −9.77736e8 | + | 1.69349e9i | −0.628103 | + | 1.08791i | ||||
\(424\) | 5.91565e8 | − | 1.02462e9i | 0.376896 | − | 0.652804i | ||||
\(425\) | 1.13123e8 | + | 1.95935e8i | 0.0714810 | + | 0.123809i | ||||
\(426\) | −4.78911e8 | − | 8.29498e8i | −0.300138 | − | 0.519855i | ||||
\(427\) | 6.11798e8 | − | 1.05966e9i | 0.380286 | − | 0.658674i | ||||
\(428\) | 2.87328e8 | − | 4.97666e8i | 0.177143 | − | 0.306821i | ||||
\(429\) | −1.76063e7 | + | 3.04951e7i | −0.0107663 | + | 0.0186479i | ||||
\(430\) | −1.73553e9 | −1.05267 | ||||||||
\(431\) | 9.26283e8 | + | 1.60437e9i | 0.557279 | + | 0.965236i | 0.997722 | + | 0.0674557i | \(0.0214881\pi\) |
−0.440443 | + | 0.897781i | \(0.645179\pi\) | |||||||
\(432\) | −7.34338e8 | + | 1.27191e9i | −0.438231 | + | 0.759038i | ||||
\(433\) | −8.83922e7 | −0.0523246 | −0.0261623 | − | 0.999658i | \(-0.508329\pi\) | ||||
−0.0261623 | + | 0.999658i | \(0.508329\pi\) | |||||||
\(434\) | 7.17392e8 | 0.421252 | ||||||||
\(435\) | 4.26753e8 | − | 7.39158e8i | 0.248579 | − | 0.430551i | ||||
\(436\) | −7.14293e8 | −0.412737 | ||||||||
\(437\) | −1.61909e8 | − | 2.80434e8i | −0.0928079 | − | 0.160748i | ||||
\(438\) | 9.62786e8 | 0.547483 | ||||||||
\(439\) | 1.36887e9 | + | 2.37096e9i | 0.772213 | + | 1.33751i | 0.936347 | + | 0.351075i | \(0.114184\pi\) |
−0.164134 | + | 0.986438i | \(0.552483\pi\) | |||||||
\(440\) | −5.02906e8 | − | 8.71058e8i | −0.281451 | − | 0.487487i | ||||
\(441\) | 1.69208e9 | + | 2.93076e9i | 0.939474 | + | 1.62722i | ||||
\(442\) | −5.34054e7 | + | 9.25009e7i | −0.0294176 | + | 0.0509528i | ||||
\(443\) | 8.96644e8 | 0.490012 | 0.245006 | − | 0.969522i | \(-0.421210\pi\) | ||||
0.245006 | + | 0.969522i | \(0.421210\pi\) | |||||||
\(444\) | −1.45449e8 | − | 1.01962e8i | −0.0788624 | − | 0.0552838i | ||||
\(445\) | 1.91745e9 | 1.03149 | ||||||||
\(446\) | 3.90648e8 | − | 6.76622e8i | 0.208504 | − | 0.361139i | ||||
\(447\) | −9.44090e7 | − | 1.63521e8i | −0.0499962 | − | 0.0865960i | ||||
\(448\) | 1.13353e9 | + | 1.96332e9i | 0.595605 | + | 1.03162i | ||||
\(449\) | 4.19703e8 | + | 7.26947e8i | 0.218817 | + | 0.379001i | 0.954446 | − | 0.298382i | \(-0.0964470\pi\) |
−0.735630 | + | 0.677384i | \(0.763114\pi\) | |||||||
\(450\) | −3.50754e8 | −0.181451 | ||||||||
\(451\) | 1.06110e9 | + | 1.83787e9i | 0.544674 | + | 0.943403i | ||||
\(452\) | 5.64799e8 | 0.287680 | ||||||||
\(453\) | −3.73542e8 | + | 6.46994e8i | −0.188797 | + | 0.327006i | ||||
\(454\) | 1.92101e9 | 0.963459 | ||||||||
\(455\) | −2.33975e8 | −0.116447 | ||||||||
\(456\) | −6.25688e7 | + | 1.08372e8i | −0.0309016 | + | 0.0535232i | ||||
\(457\) | −1.40426e9 | − | 2.43226e9i | −0.688244 | − | 1.19207i | −0.972406 | − | 0.233297i | \(-0.925049\pi\) |
0.284162 | − | 0.958776i | \(-0.408285\pi\) | |||||||
\(458\) | 7.08960e8 | 0.344820 | ||||||||
\(459\) | 5.63873e8 | − | 9.76657e8i | 0.272168 | − | 0.471409i | ||||
\(460\) | 2.29593e8 | − | 3.97666e8i | 0.109978 | − | 0.190487i | ||||
\(461\) | −1.17831e9 | + | 2.04090e9i | −0.560154 | + | 0.970216i | 0.437328 | + | 0.899302i | \(0.355925\pi\) |
−0.997482 | + | 0.0709139i | \(0.977408\pi\) | |||||||
\(462\) | 6.35037e8 | + | 1.09992e9i | 0.299607 | + | 0.518935i | ||||
\(463\) | −9.64064e8 | − | 1.66981e9i | −0.451411 | − | 0.781868i | 0.547063 | − | 0.837092i | \(-0.315746\pi\) |
−0.998474 | + | 0.0552242i | \(0.982413\pi\) | |||||||
\(464\) | 1.74443e9 | − | 3.02143e9i | 0.810661 | − | 1.40411i | ||||
\(465\) | 8.25364e7 | − | 1.42957e8i | 0.0380680 | − | 0.0659357i | ||||
\(466\) | −4.61277e7 | + | 7.98955e7i | −0.0211160 | + | 0.0365739i | ||||
\(467\) | −3.36821e9 | −1.53035 | −0.765174 | − | 0.643824i | \(-0.777347\pi\) | ||||
−0.765174 | + | 0.643824i | \(0.777347\pi\) | |||||||
\(468\) | −1.59449e7 | − | 2.76173e7i | −0.00719052 | − | 0.0124543i | ||||
\(469\) | 1.16400e9 | − | 2.01610e9i | 0.521010 | − | 0.902416i | ||||
\(470\) | −3.37366e9 | −1.49885 | ||||||||
\(471\) | −1.59983e9 | −0.705506 | ||||||||
\(472\) | 7.15361e8 | − | 1.23904e9i | 0.313132 | − | 0.542361i | ||||
\(473\) | 1.79587e9 | 0.780300 | ||||||||
\(474\) | −3.66368e6 | − | 6.34568e6i | −0.00158013 | − | 0.00273687i | ||||
\(475\) | −8.21823e7 | −0.0351845 | ||||||||
\(476\) | 3.70962e8 | + | 6.42526e8i | 0.157654 | + | 0.273065i | ||||
\(477\) | −8.82320e8 | − | 1.52822e9i | −0.372230 | − | 0.644722i | ||||
\(478\) | 1.72312e9 | + | 2.98453e9i | 0.721636 | + | 1.24991i | ||||
\(479\) | 2.23171e9 | − | 3.86543e9i | 0.927819 | − | 1.60703i | 0.140855 | − | 0.990030i | \(-0.455015\pi\) |
0.786964 | − | 0.616999i | \(-0.211652\pi\) | |||||||
\(480\) | −4.10482e8 | −0.169414 | ||||||||
\(481\) | −1.59392e8 | + | 7.42205e7i | −0.0653068 | + | 0.0304100i | ||||
\(482\) | −3.51301e9 | −1.42894 | ||||||||
\(483\) | 9.25585e8 | − | 1.60316e9i | 0.373767 | − | 0.647384i | ||||
\(484\) | 1.34472e8 | + | 2.32912e8i | 0.0539104 | + | 0.0933755i | ||||
\(485\) | −1.19712e9 | − | 2.07346e9i | −0.476475 | − | 0.825278i | ||||
\(486\) | 1.35007e9 | + | 2.33839e9i | 0.533494 | + | 0.924039i | ||||
\(487\) | −3.64168e9 | −1.42873 | −0.714366 | − | 0.699773i | \(-0.753285\pi\) | ||||
−0.714366 | + | 0.699773i | \(0.753285\pi\) | |||||||
\(488\) | −4.59288e8 | − | 7.95511e8i | −0.178902 | − | 0.309868i | ||||
\(489\) | 1.38345e9 | 0.535035 | ||||||||
\(490\) | −2.91924e9 | + | 5.05627e9i | −1.12094 | + | 1.94153i | ||||
\(491\) | −2.11729e9 | −0.807227 | −0.403614 | − | 0.914929i | \(-0.632246\pi\) | ||||
−0.403614 | + | 0.914929i | \(0.632246\pi\) | |||||||
\(492\) | 3.74407e8 | 0.141732 | ||||||||
\(493\) | −1.33948e9 | + | 2.32005e9i | −0.503470 | + | 0.872035i | ||||
\(494\) | −1.93991e7 | − | 3.36003e7i | −0.00723999 | − | 0.0125400i | ||||
\(495\) | −1.50017e9 | −0.555932 | ||||||||
\(496\) | 3.37381e8 | − | 5.84362e8i | 0.124147 | − | 0.215028i | ||||
\(497\) | −3.29283e9 | + | 5.70335e9i | −1.20316 | + | 2.08393i | ||||
\(498\) | −5.10457e8 | + | 8.84137e8i | −0.185207 | + | 0.320787i | ||||
\(499\) | 5.02366e8 | + | 8.70123e8i | 0.180996 | + | 0.313494i | 0.942220 | − | 0.334995i | \(-0.108735\pi\) |
−0.761224 | + | 0.648489i | \(0.775401\pi\) | |||||||
\(500\) | −3.57378e8 | − | 6.18998e8i | −0.127860 | − | 0.221459i | ||||
\(501\) | 6.20462e8 | − | 1.07467e9i | 0.220436 | − | 0.381807i | ||||
\(502\) | −3.11862e8 | + | 5.40160e8i | −0.110027 | + | 0.190572i | ||||
\(503\) | −6.11389e8 | + | 1.05896e9i | −0.214205 | + | 0.371014i | −0.953026 | − | 0.302887i | \(-0.902049\pi\) |
0.738821 | + | 0.673901i | \(0.235383\pi\) | |||||||
\(504\) | 3.67220e9 | 1.27767 | ||||||||
\(505\) | −1.34983e9 | − | 2.33798e9i | −0.466402 | − | 0.807833i | ||||
\(506\) | −1.23364e9 | + | 2.13673e9i | −0.423313 | + | 0.733199i | ||||
\(507\) | −1.17875e9 | −0.401694 | ||||||||
\(508\) | −9.71330e7 | −0.0328733 | ||||||||
\(509\) | −1.18753e9 | + | 2.05687e9i | −0.399147 | + | 0.691343i | −0.993621 | − | 0.112772i | \(-0.964027\pi\) |
0.594474 | + | 0.804115i | \(0.297360\pi\) | |||||||
\(510\) | 8.86471e8 | 0.295916 | ||||||||
\(511\) | −3.30990e9 | − | 5.73291e9i | −1.09734 | − | 1.90065i | ||||
\(512\) | 1.36323e9 | 0.448873 | ||||||||
\(513\) | 2.04823e8 | + | 3.54763e8i | 0.0669834 | + | 0.116019i | ||||
\(514\) | −1.86371e9 | − | 3.22805e9i | −0.605353 | − | 1.04850i | ||||
\(515\) | −6.61215e8 | − | 1.14526e9i | −0.213313 | − | 0.369469i | ||||
\(516\) | 1.58418e8 | − | 2.74389e8i | 0.0507612 | − | 0.0879210i | ||||
\(517\) | 3.49097e9 | 1.11104 | ||||||||
\(518\) | −5.56148e8 | + | 6.31734e9i | −0.175807 | + | 1.99701i | ||||
\(519\) | 1.15897e9 | 0.363903 | ||||||||
\(520\) | −8.78247e7 | + | 1.52117e8i | −0.0273908 | + | 0.0474423i | ||||
\(521\) | 6.74939e8 | + | 1.16903e9i | 0.209090 | + | 0.362154i | 0.951428 | − | 0.307871i | \(-0.0996166\pi\) |
−0.742338 | + | 0.670025i | \(0.766283\pi\) | |||||||
\(522\) | −2.07663e9 | − | 3.59682e9i | −0.639016 | − | 1.10681i | ||||
\(523\) | −1.16735e9 | − | 2.02190e9i | −0.356816 | − | 0.618023i | 0.630611 | − | 0.776099i | \(-0.282804\pi\) |
−0.987427 | + | 0.158076i | \(0.949471\pi\) | |||||||
\(524\) | −8.50352e8 | −0.258190 | ||||||||
\(525\) | −2.34907e8 | − | 4.06870e8i | −0.0708496 | − | 0.122715i | ||||
\(526\) | 2.65600e9 | 0.795752 | ||||||||
\(527\) | −2.59064e8 | + | 4.48711e8i | −0.0771026 | + | 0.133546i | ||||
\(528\) | 1.19460e9 | 0.353187 | ||||||||
\(529\) | 1.91308e8 | 0.0561872 | ||||||||
\(530\) | 1.52221e9 | − | 2.63655e9i | 0.444130 | − | 0.769256i | ||||
\(531\) | −1.06696e9 | − | 1.84803e9i | −0.309256 | − | 0.535647i | ||||
\(532\) | −2.69499e8 | −0.0776008 | ||||||||
\(533\) | 1.85304e8 | − | 3.20956e8i | 0.0530077 | − | 0.0918121i | ||||
\(534\) | −9.08835e8 | + | 1.57415e9i | −0.258280 | + | 0.447354i | ||||
\(535\) | −2.36046e9 | + | 4.08844e9i | −0.666436 | + | 1.15430i | ||||
\(536\) | −8.73834e8 | − | 1.51352e9i | −0.245105 | − | 0.424534i | ||||
\(537\) | 6.98189e8 | + | 1.20930e9i | 0.194564 | + | 0.336995i | ||||
\(538\) | 1.15432e8 | − | 1.99933e8i | 0.0319585 | − | 0.0553538i | ||||
\(539\) | 3.02074e9 | − | 5.23208e9i | 0.830909 | − | 1.43918i | ||||
\(540\) | −2.90447e8 | + | 5.03069e8i | −0.0793759 | + | 0.137483i | ||||
\(541\) | 2.84831e9 | 0.773388 | 0.386694 | − | 0.922208i | \(-0.373617\pi\) | ||||
0.386694 | + | 0.922208i | \(0.373617\pi\) | |||||||
\(542\) | 3.39052e9 | + | 5.87256e9i | 0.914680 | + | 1.58427i | ||||
\(543\) | −1.05938e9 | + | 1.83490e9i | −0.283957 | + | 0.491829i | ||||
\(544\) | 1.28841e9 | 0.343130 | ||||||||
\(545\) | 5.86807e9 | 1.55277 | ||||||||
\(546\) | 1.10899e8 | − | 1.92083e8i | 0.0291578 | − | 0.0505028i | ||||
\(547\) | −9.19476e8 | −0.240206 | −0.120103 | − | 0.992761i | \(-0.538323\pi\) | ||||
−0.120103 | + | 0.992761i | \(0.538323\pi\) | |||||||
\(548\) | 2.25748e8 | + | 3.91008e8i | 0.0585994 | + | 0.101497i | ||||
\(549\) | −1.37006e9 | −0.353375 | ||||||||
\(550\) | 3.13088e8 | + | 5.42285e8i | 0.0802412 | + | 0.138982i | ||||
\(551\) | −4.86558e8 | − | 8.42743e8i | −0.123909 | − | 0.214617i | ||||
\(552\) | −6.94855e8 | − | 1.20352e9i | −0.175836 | − | 0.304557i | ||||
\(553\) | −2.51902e7 | + | 4.36308e7i | −0.00633423 | + | 0.0109712i | ||||
\(554\) | 4.34705e9 | 1.08620 | ||||||||
\(555\) | 1.19489e9 | + | 8.37640e8i | 0.296691 | + | 0.207985i | ||||
\(556\) | 4.56406e8 | 0.112613 | ||||||||
\(557\) | 7.78853e8 | − | 1.34901e9i | 0.190969 | − | 0.330768i | −0.754603 | − | 0.656182i | \(-0.772170\pi\) |
0.945572 | + | 0.325414i | \(0.105504\pi\) | |||||||
\(558\) | −4.01631e8 | − | 6.95646e8i | −0.0978606 | − | 0.169499i | ||||
\(559\) | −1.56811e8 | − | 2.71604e8i | −0.0379695 | − | 0.0657651i | ||||
\(560\) | 3.96884e9 | + | 6.87424e9i | 0.955005 | + | 1.65412i | ||||
\(561\) | −9.17295e8 | −0.219351 | ||||||||
\(562\) | 1.12488e9 | + | 1.94836e9i | 0.267319 | + | 0.463011i | ||||
\(563\) | 6.11210e9 | 1.44348 | 0.721740 | − | 0.692164i | \(-0.243343\pi\) | ||||
0.721740 | + | 0.692164i | \(0.243343\pi\) | |||||||
\(564\) | 3.07947e8 | − | 5.33380e8i | 0.0722769 | − | 0.125187i | ||||
\(565\) | −4.63995e9 | −1.08229 | ||||||||
\(566\) | −6.30244e9 | −1.46100 | ||||||||
\(567\) | 2.10113e9 | − | 3.63926e9i | 0.484074 | − | 0.838440i | ||||
\(568\) | 2.47199e9 | + | 4.28162e9i | 0.566015 | + | 0.980367i | ||||
\(569\) | −2.80768e9 | −0.638931 | −0.319466 | − | 0.947598i | \(-0.603503\pi\) | ||||
−0.319466 | + | 0.947598i | \(0.603503\pi\) | |||||||
\(570\) | −1.61002e8 | + | 2.78864e8i | −0.0364141 | + | 0.0630711i | ||||
\(571\) | 3.07855e9 | − | 5.33221e9i | 0.692022 | − | 1.19862i | −0.279152 | − | 0.960247i | \(-0.590053\pi\) |
0.971174 | − | 0.238371i | \(-0.0766133\pi\) | |||||||
\(572\) | −2.84653e7 | + | 4.93033e7i | −0.00635959 | + | 0.0110151i | ||||
\(573\) | −5.72374e8 | − | 9.91381e8i | −0.127098 | − | 0.220140i | ||||
\(574\) | −6.68366e9 | − | 1.15764e10i | −1.47510 | − | 2.55496i | ||||
\(575\) | 4.56336e8 | − | 7.90397e8i | 0.100103 | − | 0.173383i | ||||
\(576\) | 1.26921e9 | − | 2.19833e9i | 0.276729 | − | 0.479308i | ||||
\(577\) | −9.43212e8 | + | 1.63369e9i | −0.204406 | + | 0.354042i | −0.949943 | − | 0.312422i | \(-0.898860\pi\) |
0.745537 | + | 0.666464i | \(0.232193\pi\) | |||||||
\(578\) | 2.38408e9 | 0.513539 | ||||||||
\(579\) | −6.80165e7 | − | 1.17808e8i | −0.0145626 | − | 0.0252232i | ||||
\(580\) | 6.89958e8 | − | 1.19504e9i | 0.146833 | − | 0.254323i | ||||
\(581\) | 7.01946e9 | 1.48487 | ||||||||
\(582\) | 2.26963e9 | 0.477228 | ||||||||
\(583\) | −1.57514e9 | + | 2.72823e9i | −0.329216 | + | 0.570218i | ||||
\(584\) | −4.96961e9 | −1.03247 | ||||||||
\(585\) | 1.30991e8 | + | 2.26882e8i | 0.0270517 | + | 0.0468549i | ||||
\(586\) | 6.35668e9 | 1.30493 | ||||||||
\(587\) | 1.09972e9 | + | 1.90478e9i | 0.224414 | + | 0.388696i | 0.956143 | − | 0.292899i | \(-0.0946199\pi\) |
−0.731730 | + | 0.681595i | \(0.761287\pi\) | |||||||
\(588\) | −5.32935e8 | − | 9.23070e8i | −0.108107 | − | 0.187247i | ||||
\(589\) | −9.41030e7 | − | 1.62991e8i | −0.0189758 | − | 0.0328670i | ||||
\(590\) | 1.84077e9 | − | 3.18830e9i | 0.368992 | − | 0.639112i | ||||
\(591\) | −2.79533e9 | −0.557028 | ||||||||
\(592\) | 4.88433e9 | + | 3.42400e9i | 0.967563 | + | 0.678277i | ||||
\(593\) | −9.45812e8 | −0.186257 | −0.0931286 | − | 0.995654i | \(-0.529687\pi\) | ||||
−0.0931286 | + | 0.995654i | \(0.529687\pi\) | |||||||
\(594\) | 1.56062e9 | − | 2.70307e9i | 0.305523 | − | 0.529182i | ||||
\(595\) | −3.04754e9 | − | 5.27849e9i | −0.593116 | − | 1.02731i | ||||
\(596\) | −1.52637e8 | − | 2.64375e8i | −0.0295323 | − | 0.0511515i | ||||
\(597\) | 2.57761e8 | + | 4.46454e8i | 0.0495800 | + | 0.0858750i | ||||
\(598\) | 4.30872e8 | 0.0823937 | ||||||||
\(599\) | 8.17028e8 | + | 1.41513e9i | 0.155326 | + | 0.269032i | 0.933178 | − | 0.359416i | \(-0.117024\pi\) |
−0.777852 | + | 0.628448i | \(0.783691\pi\) | |||||||
\(600\) | −3.52698e8 | −0.0666612 | ||||||||
\(601\) | −2.97606e9 | + | 5.15469e9i | −0.559218 | + | 0.968594i | 0.438344 | + | 0.898807i | \(0.355565\pi\) |
−0.997562 | + | 0.0697870i | \(0.977768\pi\) | |||||||
\(602\) | −1.13119e10 | −2.11324 | ||||||||
\(603\) | −2.60665e9 | −0.484141 | ||||||||
\(604\) | −6.03929e8 | + | 1.04604e9i | −0.111521 | + | 0.193160i | ||||
\(605\) | −1.10472e9 | − | 1.91342e9i | −0.202818 | − | 0.351291i | ||||
\(606\) | 2.55918e9 | 0.467139 | ||||||||
\(607\) | −4.11366e9 | + | 7.12507e9i | −0.746566 | + | 1.29309i | 0.202894 | + | 0.979201i | \(0.434965\pi\) |
−0.949460 | + | 0.313889i | \(0.898368\pi\) | |||||||
\(608\) | −2.34003e8 | + | 4.05306e8i | −0.0422240 | + | 0.0731341i | ||||
\(609\) | 2.78151e9 | − | 4.81772e9i | 0.499023 | − | 0.864333i | ||||
\(610\) | −1.18184e9 | − | 2.04701e9i | −0.210816 | − | 0.365145i | ||||
\(611\) | −3.04822e8 | − | 5.27967e8i | −0.0540632 | − | 0.0936403i | ||||
\(612\) | 4.15366e8 | − | 7.19435e8i | 0.0732489 | − | 0.126871i | ||||
\(613\) | −2.60353e8 | + | 4.50944e8i | −0.0456510 | + | 0.0790698i | −0.887948 | − | 0.459944i | \(-0.847870\pi\) |
0.842297 | + | 0.539014i | \(0.181203\pi\) | |||||||
\(614\) | −2.69415e9 | + | 4.66641e9i | −0.469713 | + | 0.813567i | ||||
\(615\) | −3.07584e9 | −0.533213 | ||||||||
\(616\) | −3.27786e9 | − | 5.67743e9i | −0.565013 | − | 0.978631i | ||||
\(617\) | −2.59579e9 | + | 4.49604e9i | −0.444909 | + | 0.770606i | −0.998046 | − | 0.0624849i | \(-0.980097\pi\) |
0.553136 | + | 0.833091i | \(0.313431\pi\) | |||||||
\(618\) | 1.25361e9 | 0.213650 | ||||||||
\(619\) | −5.52933e7 | −0.00937034 | −0.00468517 | − | 0.999989i | \(-0.501491\pi\) | ||||
−0.00468517 | + | 0.999989i | \(0.501491\pi\) | |||||||
\(620\) | 1.33442e8 | − | 2.31128e8i | 0.0224864 | − | 0.0389477i | ||||
\(621\) | −4.54930e9 | −0.762296 | ||||||||
\(622\) | −5.43649e8 | − | 9.41627e8i | −0.0905841 | − | 0.156896i | ||||
\(623\) | 1.24977e10 | 2.07072 | ||||||||
\(624\) | −1.04310e8 | − | 1.80669e8i | −0.0171861 | − | 0.0297672i | ||||
\(625\) | 2.34144e9 | + | 4.05549e9i | 0.383621 | + | 0.664451i | ||||
\(626\) | 1.09061e9 | + | 1.88899e9i | 0.177688 | + | 0.307764i | ||||
\(627\) | 1.66600e8 | − | 2.88560e8i | 0.0269923 | − | 0.0467520i | ||||
\(628\) | −2.58655e9 | −0.416736 | ||||||||
\(629\) | −3.75051e9 | − | 2.62917e9i | −0.600915 | − | 0.421251i | ||||
\(630\) | 9.44931e9 | 1.50560 | ||||||||
\(631\) | −3.21427e9 | + | 5.56727e9i | −0.509306 | + | 0.882144i | 0.490636 | + | 0.871365i | \(0.336765\pi\) |
−0.999942 | + | 0.0107796i | \(0.996569\pi\) | |||||||
\(632\) | 1.89108e7 | + | 3.27545e7i | 0.00297989 | + | 0.00516132i | ||||
\(633\) | −1.31050e9 | − | 2.26985e9i | −0.205363 | − | 0.355700i | ||||
\(634\) | −5.97152e9 | − | 1.03430e10i | −0.930621 | − | 1.61188i | ||||
\(635\) | 7.97969e8 | 0.123674 | ||||||||
\(636\) | 2.77895e8 | + | 4.81328e8i | 0.0428332 | + | 0.0741893i | ||||
\(637\) | −1.05505e9 | −0.161728 | ||||||||
\(638\) | −3.70726e9 | + | 6.42116e9i | −0.565172 | + | 0.978907i | ||||
\(639\) | 7.37396e9 | 1.11801 | ||||||||
\(640\) | 7.16181e9 | 1.07992 | ||||||||
\(641\) | −4.43730e9 | + | 7.68562e9i | −0.665450 | + | 1.15259i | 0.313714 | + | 0.949518i | \(0.398427\pi\) |
−0.979163 | + | 0.203075i | \(0.934906\pi\) | |||||||
\(642\) | −2.23762e9 | − | 3.87568e9i | −0.333745 | − | 0.578062i | ||||
\(643\) | 2.06661e9 | 0.306563 | 0.153281 | − | 0.988183i | \(-0.451016\pi\) | ||||
0.153281 | + | 0.988183i | \(0.451016\pi\) | |||||||
\(644\) | 1.49645e9 | − | 2.59193e9i | 0.220781 | − | 0.382404i | ||||
\(645\) | −1.30144e9 | + | 2.25416e9i | −0.190970 | + | 0.330770i | ||||
\(646\) | 5.05350e8 | − | 8.75292e8i | 0.0737528 | − | 0.127744i | ||||
\(647\) | −2.03913e9 | − | 3.53187e9i | −0.295991 | − | 0.512672i | 0.679224 | − | 0.733931i | \(-0.262317\pi\) |
−0.975215 | + | 0.221259i | \(0.928983\pi\) | |||||||
\(648\) | −1.57736e9 | − | 2.73206e9i | −0.227728 | − | 0.394437i | ||||
\(649\) | −1.90477e9 | + | 3.29916e9i | −0.273518 | + | 0.473748i | ||||
\(650\) | 5.46760e7 | − | 9.47017e7i | 0.00780909 | − | 0.0135257i | ||||
\(651\) | 5.37960e8 | − | 9.31774e8i | 0.0764217 | − | 0.132366i | ||||
\(652\) | 2.23671e9 | 0.316041 | ||||||||
\(653\) | −3.70648e8 | − | 6.41981e8i | −0.0520913 | − | 0.0902249i | 0.838804 | − | 0.544434i | \(-0.183255\pi\) |
−0.890895 | + | 0.454209i | \(0.849922\pi\) | |||||||
\(654\) | −2.78135e9 | + | 4.81744e9i | −0.388807 | + | 0.673433i | ||||
\(655\) | 6.98583e9 | 0.971345 | ||||||||
\(656\) | −1.25730e10 | −1.73891 | ||||||||
\(657\) | −3.70609e9 | + | 6.41913e9i | −0.509843 | + | 0.883075i | ||||
\(658\) | −2.19890e10 | −3.00895 | ||||||||
\(659\) | 4.02794e9 | + | 6.97659e9i | 0.548256 | + | 0.949608i | 0.998394 | + | 0.0566489i | \(0.0180416\pi\) |
−0.450138 | + | 0.892959i | \(0.648625\pi\) | |||||||
\(660\) | 4.72492e8 | 0.0639721 | ||||||||
\(661\) | 5.12852e9 | + | 8.88286e9i | 0.690696 | + | 1.19632i | 0.971610 | + | 0.236588i | \(0.0760291\pi\) |
−0.280914 | + | 0.959733i | \(0.590638\pi\) | |||||||
\(662\) | 3.92295e9 | + | 6.79475e9i | 0.525545 | + | 0.910271i | ||||
\(663\) | 8.00957e7 | + | 1.38730e8i | 0.0106736 | + | 0.0184873i | ||||
\(664\) | 2.63482e9 | − | 4.56365e9i | 0.349271 | − | 0.604956i | ||||
\(665\) | 2.21399e9 | 0.291944 | ||||||||
\(666\) | 6.43721e9 | − | 2.99747e9i | 0.844380 | − | 0.393183i | ||||
\(667\) | 1.08069e10 | 1.41013 | ||||||||
\(668\) | 1.00314e9 | − | 1.73749e9i | 0.130210 | − | 0.225530i | ||||
\(669\) | −5.85881e8 | − | 1.01478e9i | −0.0756516 | − | 0.131032i | ||||
\(670\) | −2.24855e9 | − | 3.89460e9i | −0.288829 | − | 0.500266i | ||||
\(671\) | 1.22293e9 | + | 2.11818e9i | 0.156270 | + | 0.270667i | ||||
\(672\) | −2.67546e9 | −0.340100 | ||||||||
\(673\) | 4.85771e9 | + | 8.41381e9i | 0.614298 | + | 1.06400i | 0.990507 | + | 0.137461i | \(0.0438941\pi\) |
−0.376209 | + | 0.926535i | \(0.622773\pi\) | |||||||
\(674\) | 8.61583e9 | 1.08390 | ||||||||
\(675\) | −5.77289e8 | + | 9.99893e8i | −0.0722486 | + | 0.125138i | ||||
\(676\) | −1.90576e9 | −0.237277 | ||||||||
\(677\) | 9.91844e8 | 0.122852 | 0.0614261 | − | 0.998112i | \(-0.480435\pi\) | ||||
0.0614261 | + | 0.998112i | \(0.480435\pi\) | |||||||
\(678\) | 2.19925e9 | − | 3.80920e9i | 0.271000 | − | 0.469386i | ||||
\(679\) | −7.80262e9 | − | 1.35145e10i | −0.956525 | − | 1.65675i | ||||
\(680\) | −4.57569e9 | −0.558053 | ||||||||
\(681\) | 1.44053e9 | − | 2.49507e9i | 0.174786 | − | 0.302739i | ||||
\(682\) | −7.17004e8 | + | 1.24189e9i | −0.0865519 | + | 0.149912i | ||||
\(683\) | 5.66022e9 | − | 9.80379e9i | 0.679768 | − | 1.17739i | −0.295283 | − | 0.955410i | \(-0.595414\pi\) |
0.975051 | − | 0.221983i | \(-0.0712529\pi\) | |||||||
\(684\) | 1.50879e8 | + | 2.61330e8i | 0.0180273 | + | 0.0312243i | ||||
\(685\) | −1.85457e9 | − | 3.21222e9i | −0.220459 | − | 0.381845i | ||||
\(686\) | −1.05517e10 | + | 1.82762e10i | −1.24793 | + | 2.16148i | ||||
\(687\) | 5.31637e8 | − | 9.20823e8i | 0.0625557 | − | 0.108350i | ||||
\(688\) | −5.31987e9 | + | 9.21428e9i | −0.622790 | + | 1.07870i | ||||
\(689\) | 5.50149e8 | 0.0640786 | ||||||||
\(690\) | −1.78800e9 | − | 3.09691e9i | −0.207203 | − | 0.358886i | ||||
\(691\) | −5.36697e9 | + | 9.29586e9i | −0.618808 | + | 1.07181i | 0.370896 | + | 0.928675i | \(0.379051\pi\) |
−0.989704 | + | 0.143132i | \(0.954283\pi\) | |||||||
\(692\) | 1.87378e9 | 0.214955 | ||||||||
\(693\) | −9.77788e9 | −1.11604 | ||||||||
\(694\) | 4.15156e9 | − | 7.19072e9i | 0.471469 | − | 0.816609i | ||||
\(695\) | −3.74947e9 | −0.423666 | ||||||||
\(696\) | −2.08814e9 | − | 3.61676e9i | −0.234761 | − | 0.406618i | ||||
\(697\) | 9.65438e9 | 1.07997 | ||||||||
\(698\) | −1.60405e9 | − | 2.77830e9i | −0.178535 | − | 0.309232i | ||||
\(699\) | 6.91808e7 | + | 1.19825e8i | 0.00766153 | + | 0.0132702i | ||||
\(700\) | −3.79788e8 | − | 6.57812e8i | −0.0418503 | − | 0.0724868i | ||||
\(701\) | 5.78617e9 | − | 1.00219e10i | 0.634422 | − | 1.09885i | −0.352216 | − | 0.935919i | \(-0.614572\pi\) |
0.986637 | − | 0.162932i | \(-0.0520950\pi\) | |||||||
\(702\) | −5.45076e8 | −0.0594671 | ||||||||
\(703\) | 1.50825e9 | − | 7.02313e8i | 0.163731 | − | 0.0762407i | ||||
\(704\) | −4.53166e9 | −0.489500 | ||||||||
\(705\) | −2.52985e9 | + | 4.38183e9i | −0.271915 | + | 0.470971i | ||||
\(706\) | 3.63812e9 | + | 6.30140e9i | 0.389099 | + | 0.673939i | ||||
\(707\) | −8.79802e9 | − | 1.52386e10i | −0.936305 | − | 1.62173i | ||||
\(708\) | 3.36049e8 | + | 5.82054e8i | 0.0355866 | + | 0.0616378i | ||||
\(709\) | 5.64416e9 | 0.594754 | 0.297377 | − | 0.954760i | \(-0.403888\pi\) | ||||
0.297377 | + | 0.954760i | \(0.403888\pi\) | |||||||
\(710\) | 6.36093e9 | + | 1.10174e10i | 0.666985 | + | 1.15525i | ||||
\(711\) | 5.64109e7 | 0.00588599 | ||||||||
\(712\) | 4.69113e9 | − | 8.12527e9i | 0.487076 | − | 0.843641i | ||||
\(713\) | 2.09011e9 | 0.215951 | ||||||||
\(714\) | 5.77789e9 | 0.594053 | ||||||||
\(715\) | 2.33848e8 | − | 4.05037e8i | 0.0239256 | − | 0.0414404i | ||||
\(716\) | 1.12881e9 | + | 1.95515e9i | 0.114927 | + | 0.199060i | ||||
\(717\) | 5.16856e9 | 0.523663 | ||||||||
\(718\) | 7.21081e9 | − | 1.24895e10i | 0.727024 | − | 1.25924i | ||||
\(719\) | −2.29705e8 | + | 3.97860e8i | −0.0230472 | + | 0.0399190i | −0.877319 | − | 0.479908i | \(-0.840670\pi\) |
0.854272 | + | 0.519827i | \(0.174003\pi\) | |||||||
\(720\) | 4.44391e9 | − | 7.69707e9i | 0.443712 | − | 0.768532i | ||||
\(721\) | −4.30970e9 | − | 7.46462e9i | −0.428227 | − | 0.741710i | ||||
\(722\) | −5.44374e9 | − | 9.42884e9i | −0.538292 | − | 0.932348i | ||||
\(723\) | −2.63435e9 | + | 4.56282e9i | −0.259232 | + | 0.449003i | ||||
\(724\) | −1.71277e9 | + | 2.96660e9i | −0.167731 | + | 0.290519i | ||||
\(725\) | 1.37135e9 | − | 2.37525e9i | 0.133649 | − | 0.231487i | ||||
\(726\) | 2.09445e9 | 0.203138 | ||||||||
\(727\) | −5.18082e8 | − | 8.97344e8i | −0.0500067 | − | 0.0866141i | 0.839939 | − | 0.542681i | \(-0.182591\pi\) |
−0.889945 | + | 0.456067i | \(0.849258\pi\) | |||||||
\(728\) | −5.72428e8 | + | 9.91475e8i | −0.0549872 | + | 0.0952406i | ||||
\(729\) | −1.57230e9 | −0.150310 | ||||||||
\(730\) | −1.27878e10 | −1.21665 | ||||||||
\(731\) | 4.08494e9 | − | 7.07533e9i | 0.386790 | − | 0.669940i | ||||
\(732\) | 4.31512e8 | 0.0406635 | ||||||||
\(733\) | 4.79930e9 | + | 8.31263e9i | 0.450105 | + | 0.779605i | 0.998392 | − | 0.0566851i | \(-0.0180531\pi\) |
−0.548287 | + | 0.836290i | \(0.684720\pi\) | |||||||
\(734\) | 2.36750e10 | 2.20980 | ||||||||
\(735\) | 4.37818e9 | + | 7.58322e9i | 0.406713 | + | 0.704447i | ||||
\(736\) | −2.59871e9 | − | 4.50110e9i | −0.240262 | − | 0.416146i | ||||
\(737\) | 2.32673e9 | + | 4.03002e9i | 0.214097 | + | 0.370827i | ||||
\(738\) | −7.48369e9 | + | 1.29621e10i | −0.685359 | + | 1.18708i | ||||
\(739\) | −1.79680e10 | −1.63774 | −0.818868 | − | 0.573982i | \(-0.805398\pi\) | ||||
−0.818868 | + | 0.573982i | \(0.805398\pi\) | |||||||
\(740\) | 1.93186e9 | + | 1.35427e9i | 0.175253 | + | 0.122855i | ||||
\(741\) | −5.81883e7 | −0.00525379 | ||||||||
\(742\) | 9.92157e9 | − | 1.71847e10i | 0.891593 | − | 1.54428i | ||||
\(743\) | −7.34255e9 | − | 1.27177e10i | −0.656729 | − | 1.13749i | −0.981457 | − | 0.191681i | \(-0.938606\pi\) |
0.324728 | − | 0.945807i | \(-0.394727\pi\) | |||||||
\(744\) | −4.03857e8 | − | 6.99501e8i | −0.0359519 | − | 0.0622706i | ||||
\(745\) | 1.25395e9 | + | 2.17190e9i | 0.111105 | + | 0.192439i | ||||
\(746\) | 1.50822e10 | 1.33008 | ||||||||
\(747\) | −3.92984e9 | − | 6.80668e9i | −0.344947 | − | 0.597466i | ||||
\(748\) | −1.48305e9 | −0.129569 | ||||||||
\(749\) | −1.53851e10 | + | 2.66478e10i | −1.33787 | + | 2.31726i | ||||
\(750\) | −5.56631e9 | −0.481785 | ||||||||
\(751\) | 1.86756e10 | 1.60892 | 0.804462 | − | 0.594004i | \(-0.202454\pi\) | ||||
0.804462 | + | 0.594004i | \(0.202454\pi\) | |||||||
\(752\) | −1.03412e10 | + | 1.79115e10i | −0.886765 | + | 1.53592i | ||||
\(753\) | 4.67720e8 | + | 8.10114e8i | 0.0399212 | + | 0.0691455i | ||||
\(754\) | 1.29483e9 | 0.110005 | ||||||||
\(755\) | 4.96141e9 | − | 8.59341e9i | 0.419557 | − | 0.726694i | ||||
\(756\) | −1.89309e9 | + | 3.27893e9i | −0.159347 | + | 0.275998i | ||||
\(757\) | 8.39144e9 | − | 1.45344e10i | 0.703074 | − | 1.21776i | −0.264308 | − | 0.964438i | \(-0.585144\pi\) |
0.967382 | − | 0.253322i | \(-0.0815231\pi\) | |||||||
\(758\) | −5.20247e9 | − | 9.01095e9i | −0.433878 | − | 0.751499i | ||||
\(759\) | 1.85017e9 | + | 3.20459e9i | 0.153591 | + | 0.266027i | ||||
\(760\) | 8.31043e8 | − | 1.43941e9i | 0.0686714 | − | 0.118942i | ||||
\(761\) | 4.52400e9 | − | 7.83581e9i | 0.372115 | − | 0.644521i | −0.617776 | − | 0.786354i | \(-0.711966\pi\) |
0.989891 | + | 0.141833i | \(0.0452995\pi\) | |||||||
\(762\) | −3.78221e8 | + | 6.55099e8i | −0.0309673 | + | 0.0536370i | ||||
\(763\) | 3.82472e10 | 3.11720 | ||||||||
\(764\) | −9.25393e8 | − | 1.60283e9i | −0.0750757 | − | 0.130035i | ||||
\(765\) | −3.41232e9 | + | 5.91032e9i | −0.275572 | + | 0.477305i | ||||
\(766\) | 1.48857e10 | 1.19665 | ||||||||
\(767\) | 6.65278e8 | 0.0532377 | ||||||||
\(768\) | −1.71857e9 | + | 2.97664e9i | −0.136900 | + | 0.237117i | ||||
\(769\) | −2.21033e10 | −1.75273 | −0.876366 | − | 0.481645i | \(-0.840039\pi\) | ||||
−0.876366 | + | 0.481645i | \(0.840039\pi\) | |||||||
\(770\) | −8.43460e9 | − | 1.46092e10i | −0.665805 | − | 1.15321i | ||||
\(771\) | −5.59027e9 | −0.439281 | ||||||||
\(772\) | −1.09967e8 | − | 1.90468e8i | −0.00860201 | − | 0.0148991i | ||||
\(773\) | 9.83576e9 | + | 1.70360e10i | 0.765914 | + | 1.32660i | 0.939762 | + | 0.341829i | \(0.111046\pi\) |
−0.173848 | + | 0.984772i | \(0.555620\pi\) | |||||||
\(774\) | 6.33297e9 | + | 1.09690e10i | 0.490923 | + | 0.850304i | ||||
\(775\) | 2.65227e8 | − | 4.59387e8i | 0.0204674 | − | 0.0354505i | ||||
\(776\) | −1.17152e10 | −0.899978 | ||||||||
\(777\) | 7.78815e9 | + | 5.45962e9i | 0.595608 | + | 0.417531i | ||||
\(778\) | 1.79296e9 | 0.136503 | ||||||||
\(779\) | −1.75344e9 | + | 3.03705e9i | −0.132896 | + | 0.230182i | ||||
\(780\) | −4.12567e7 | − | 7.14587e7i | −0.00311289 | − | 0.00539168i | ||||
\(781\) | −6.58211e9 | − | 1.14005e10i | −0.494409 | − | 0.856341i | ||||
\(782\) | 5.61214e9 | + | 9.72051e9i | 0.419667 | + | 0.726885i | ||||
\(783\) | −1.36713e10 | −1.01775 | ||||||||
\(784\) | 1.78965e10 | + | 3.09977e10i | 1.32636 | + | 2.29733i | ||||
\(785\) | 2.12490e10 | 1.56782 | ||||||||
\(786\) | −3.31114e9 | + | 5.73507e9i | −0.243220 | + | 0.421269i | ||||
\(787\) | −6.64574e9 | −0.485995 | −0.242997 | − | 0.970027i | \(-0.578131\pi\) | ||||
−0.242997 | + | 0.970027i | \(0.578131\pi\) | |||||||
\(788\) | −4.51939e9 | −0.329032 | ||||||||
\(789\) | 1.99169e9 | − | 3.44971e9i | 0.144362 | − | 0.250042i | ||||
\(790\) | 4.86612e7 | + | 8.42837e7i | 0.00351146 | + | 0.00608204i | ||||
\(791\) | −3.02425e10 | −2.17270 | ||||||||
\(792\) | −3.67022e9 | + | 6.35701e9i | −0.262515 | + | 0.454689i | ||||
\(793\) | 2.13567e8 | − | 3.69908e8i | 0.0152082 | − | 0.0263413i | ||||
\(794\) | −1.06686e10 | + | 1.84786e10i | −0.756373 | + | 1.31008i | ||||
\(795\) | −2.28297e9 | − | 3.95421e9i | −0.161144 | − | 0.279110i | ||||
\(796\) | 4.16738e8 | + | 7.21811e8i | 0.0292865 | + | 0.0507256i | ||||
\(797\) | 1.02356e10 | − | 1.77286e10i | 0.716157 | − | 1.24042i | −0.246354 | − | 0.969180i | \(-0.579233\pi\) |
0.962511 | − | 0.271241i | \(-0.0874341\pi\) | |||||||
\(798\) | −1.04939e9 | + | 1.81759e9i | −0.0731014 | + | 0.126615i | ||||
\(799\) | 7.94066e9 | − | 1.37536e10i | 0.550735 | − | 0.953901i | ||||
\(800\) | −1.31907e9 | −0.0910860 | ||||||||
\(801\) | −6.99682e9 | − | 1.21188e10i | −0.481046 | − | 0.833196i | ||||
\(802\) | −1.12587e10 | + | 1.95006e10i | −0.770686 | + | 1.33487i | ||||
\(803\) | 1.32324e10 | 0.901852 | ||||||||
\(804\) | 8.20988e8 | 0.0557109 | ||||||||
\(805\) | −1.22937e10 | + | 2.12933e10i | −0.830609 | + | 1.43866i | ||||
\(806\) | 2.50427e8 | 0.0168465 | ||||||||
\(807\) | −1.73120e8 | − | 2.99853e8i | −0.0115955 | − | 0.0200841i | ||||
\(808\) | −1.32097e10 | −0.880953 | ||||||||
\(809\) | −1.03828e10 | − | 1.79836e10i | −0.689440 | − | 1.19414i | −0.972019 | − | 0.234901i | \(-0.924524\pi\) |
0.282580 | − | 0.959244i | \(-0.408810\pi\) | |||||||
\(810\) | −4.05885e9 | − | 7.03014e9i | −0.268352 | − | 0.464800i | ||||
\(811\) | 3.42330e9 | + | 5.92933e9i | 0.225358 | + | 0.390331i | 0.956427 | − | 0.291973i | \(-0.0943117\pi\) |
−0.731069 | + | 0.682303i | \(0.760978\pi\) | |||||||
\(812\) | 4.49705e9 | − | 7.78911e9i | 0.294769 | − | 0.510554i | ||||
\(813\) | 1.01700e10 | 0.663748 | ||||||||
\(814\) | −1.03802e10 | − | 7.27669e9i | −0.674560 | − | 0.472877i | ||||
\(815\) | −1.83751e10 | −1.18899 | ||||||||
\(816\) | 2.71728e9 | − | 4.70646e9i | 0.175073 | − | 0.303235i | ||||
\(817\) | 1.48383e9 | + | 2.57006e9i | 0.0951932 | + | 0.164879i | ||||
\(818\) | −1.45609e10 | − | 2.52202e10i | −0.930146 | − | 1.61106i | ||||
\(819\) | 8.53777e8 | + | 1.47879e9i | 0.0543064 | + | 0.0940614i | ||||
\(820\) | −4.97290e9 | −0.314964 | ||||||||
\(821\) | 9.35613e8 | + | 1.62053e9i | 0.0590059 | + | 0.102201i | 0.894019 | − | 0.448028i | \(-0.147874\pi\) |
−0.835014 | + | 0.550229i | \(0.814540\pi\) | |||||||
\(822\) | 3.51612e9 | 0.220807 | ||||||||
\(823\) | −1.26231e10 | + | 2.18638e10i | −0.789344 | + | 1.36718i | 0.137026 | + | 0.990567i | \(0.456246\pi\) |
−0.926369 | + | 0.376616i | \(0.877088\pi\) | |||||||
\(824\) | −6.47075e9 | −0.402911 | ||||||||
\(825\) | 9.39119e8 | 0.0582280 | ||||||||
\(826\) | 1.19978e10 | − | 2.07809e10i | 0.740752 | − | 1.28302i | ||||
\(827\) | −8.35941e9 | − | 1.44789e10i | −0.513933 | − | 0.890157i | −0.999869 | − | 0.0161633i | \(-0.994855\pi\) |
0.485937 | − | 0.873994i | \(-0.338479\pi\) | |||||||
\(828\) | −3.35115e9 | −0.205158 | ||||||||
\(829\) | −1.04671e10 | + | 1.81295e10i | −0.638094 | + | 1.10521i | 0.347756 | + | 0.937585i | \(0.386944\pi\) |
−0.985851 | + | 0.167627i | \(0.946390\pi\) | |||||||
\(830\) | 6.77992e9 | − | 1.17432e10i | 0.411577 | − | 0.712873i | ||||
\(831\) | 3.25978e9 | − | 5.64610e9i | 0.197054 | − | 0.341307i | ||||
\(832\) | 3.95692e8 | + | 6.85358e8i | 0.0238191 | + | 0.0412559i | ||||
\(833\) | −1.37421e10 | − | 2.38021e10i | −0.823753 | − | 1.42678i | ||||
\(834\) | 1.77718e9 | − | 3.07816e9i | 0.106084 | − | 0.183743i | ||||
\(835\) | −8.24101e9 | + | 1.42739e10i | −0.489867 | + | 0.848474i | ||||
\(836\) | 2.69353e8 | − | 4.66533e8i | 0.0159441 | − | 0.0276160i | ||||
\(837\) | −2.64410e9 | −0.155861 | ||||||||
\(838\) | 3.57290e9 | + | 6.18844e9i | 0.209733 | + | 0.363268i | ||||
\(839\) | −5.29041e8 | + | 9.16326e8i | −0.0309259 | + | 0.0535653i | −0.881074 | − | 0.472978i | \(-0.843179\pi\) |
0.850148 | + | 0.526543i | \(0.176512\pi\) | |||||||
\(840\) | 9.50168e9 | 0.553124 | ||||||||
\(841\) | 1.52263e10 | 0.882692 | ||||||||
\(842\) | −1.15843e10 | + | 2.00647e10i | −0.668774 | + | 1.15835i | ||||
\(843\) | 3.37413e9 | 0.193983 | ||||||||
\(844\) | −2.11876e9 | − | 3.66980e9i | −0.121306 | − | 0.210109i | ||||
\(845\) | 1.56563e10 | 0.892668 | ||||||||
\(846\) | 1.23105e10 | + | 2.13225e10i | 0.699006 | + | 1.21071i | ||||
\(847\) | −7.20037e9 | − | 1.24714e10i | −0.407158 | − | 0.705218i | ||||
\(848\) | −9.33201e9 | − | 1.61635e10i | −0.525521 | − | 0.910229i | ||||
\(849\) | −4.72609e9 | + | 8.18583e9i | −0.265048 | + | 0.459077i | ||||
\(850\) | 2.84864e9 | 0.159100 | ||||||||
\(851\) | −1.62033e9 | + | 1.84055e10i | −0.0901260 | + | 1.02375i | ||||
\(852\) | −2.32250e9 | −0.128652 | ||||||||
\(853\) | −2.32232e9 | + | 4.02237e9i | −0.128115 | + | 0.221902i | −0.922946 | − | 0.384929i | \(-0.874226\pi\) |
0.794831 | + | 0.606831i | \(0.207559\pi\) | |||||||
\(854\) | −7.70306e9 | − | 1.33421e10i | −0.423215 | − | 0.733030i | ||||
\(855\) | −1.23950e9 | − | 2.14688e9i | −0.0678212 | − | 0.117470i | ||||
\(856\) | 1.15499e10 | + | 2.00050e10i | 0.629391 | + | 1.09014i | ||||
\(857\) | −1.30047e10 | −0.705777 | −0.352889 | − | 0.935665i | \(-0.614801\pi\) | ||||
−0.352889 | + | 0.935665i | \(0.614801\pi\) | |||||||
\(858\) | 2.21679e8 | + | 3.83959e8i | 0.0119817 | + | 0.0207529i | ||||
\(859\) | 3.01314e10 | 1.62197 | 0.810987 | − | 0.585064i | \(-0.198931\pi\) | ||||
0.810987 | + | 0.585064i | \(0.198931\pi\) | |||||||
\(860\) | −2.10412e9 | + | 3.64445e9i | −0.112805 | + | 0.195383i | ||||
\(861\) | −2.00479e10 | −1.07043 | ||||||||
\(862\) | 2.33254e10 | 1.24038 | ||||||||
\(863\) | −1.28729e10 | + | 2.22966e10i | −0.681773 | + | 1.18086i | 0.292667 | + | 0.956214i | \(0.405457\pi\) |
−0.974439 | + | 0.224650i | \(0.927876\pi\) | |||||||
\(864\) | 3.28750e9 | + | 5.69413e9i | 0.173408 | + | 0.300351i | ||||
\(865\) | −1.53935e10 | −0.808688 | ||||||||
\(866\) | −5.56467e8 | + | 9.63829e8i | −0.0291157 | + | 0.0504298i | ||||
\(867\) | 1.78778e9 | − | 3.09653e9i | 0.0931639 | − | 0.161365i | ||||
\(868\) | 8.69754e8 | − | 1.50646e9i | 0.0451416 | − | 0.0781876i | ||||
\(869\) | −5.03532e7 | − | 8.72144e7i | −0.00260290 | − | 0.00450836i | ||||
\(870\) | −5.37319e9 | − | 9.30664e9i | −0.276640 | − | 0.479154i | ||||
\(871\) | 4.06328e8 | − | 7.03781e8i | 0.0208360 | − | 0.0360889i | ||||
\(872\) | 1.43565e10 | − | 2.48661e10i | 0.733230 | − | 1.26999i | ||||
\(873\) | −8.73658e9 | + | 1.51322e10i | −0.444418 | + | 0.769755i | ||||
\(874\) | −4.07714e9 | −0.206569 | ||||||||
\(875\) | 1.91360e10 | + | 3.31446e10i | 0.965659 | + | 1.67257i | ||||
\(876\) | 1.16727e9 | − | 2.02176e9i | 0.0586686 | − | 0.101617i | ||||
\(877\) | −1.30051e10 | −0.651052 | −0.325526 | − | 0.945533i | \(-0.605541\pi\) | ||||
−0.325526 | + | 0.945533i | \(0.605541\pi\) | |||||||
\(878\) | 3.44706e10 | 1.71877 | ||||||||
\(879\) | 4.76677e9 | − | 8.25628e9i | 0.236735 | − | 0.410037i | ||||
\(880\) | −1.58668e10 | −0.784874 | ||||||||
\(881\) | −1.58924e10 | − | 2.75264e10i | −0.783019 | − | 1.35623i | −0.930175 | − | 0.367116i | \(-0.880345\pi\) |
0.147156 | − | 0.989113i | \(-0.452988\pi\) | |||||||
\(882\) | 4.26094e10 | 2.09105 | ||||||||
\(883\) | −1.45423e10 | − | 2.51879e10i | −0.710837 | − | 1.23120i | −0.964544 | − | 0.263924i | \(-0.914983\pi\) |
0.253707 | − | 0.967281i | \(-0.418350\pi\) | |||||||
\(884\) | 1.29496e8 | + | 2.24293e8i | 0.00630482 | + | 0.0109203i | ||||
\(885\) | −2.76072e9 | − | 4.78170e9i | −0.133882 | − | 0.231890i | ||||
\(886\) | 5.64476e9 | − | 9.77701e9i | 0.272664 | − | 0.472268i | ||||
\(887\) | 1.56009e10 | 0.750616 | 0.375308 | − | 0.926900i | \(-0.377537\pi\) | ||||
0.375308 | + | 0.926900i | \(0.377537\pi\) | |||||||
\(888\) | 6.47288e9 | − | 3.01408e9i | 0.310208 | − | 0.144447i | ||||
\(889\) | 5.20104e9 | 0.248276 | ||||||||
\(890\) | 1.20712e10 | − | 2.09079e10i | 0.573965 | − | 0.994137i | ||||
\(891\) | 4.19998e9 | + | 7.27458e9i | 0.198919 | + | 0.344537i | ||||
\(892\) | −9.47230e8 | − | 1.64065e9i | −0.0446867 | − | 0.0773997i | ||||
\(893\) | 2.88439e9 | + | 4.99590e9i | 0.135542 | + | 0.234765i | ||||
\(894\) | −2.37738e9 | −0.111280 | ||||||||
\(895\) | −9.27339e9 | − | 1.60620e10i | −0.432372 | − | 0.748891i | ||||
\(896\) | 4.66796e10 | 2.16795 | ||||||||
\(897\) | 3.23104e8 | − | 5.59632e8i | 0.0149475 | − | 0.0258898i | ||||
\(898\) | 1.05689e10 | 0.487036 | ||||||||
\(899\) | 6.28107e9 | 0.288320 | ||||||||
\(900\) | −4.25248e8 | + | 7.36552e8i | −0.0194444 | + | 0.0336786i | ||||
\(901\) | 7.16573e9 | + | 1.24114e10i | 0.326380 | + | 0.565307i | ||||
\(902\) | 2.67202e10 | 1.21232 | ||||||||
\(903\) | −8.48261e9 | + | 1.46923e10i | −0.383374 | + | 0.664023i | ||||
\(904\) | −1.13518e10 | + | 1.96619e10i | −0.511065 | + | 0.885191i | ||||
\(905\) | 1.40708e10 | − | 2.43713e10i | 0.631027 | − | 1.09297i | ||||
\(906\) | 4.70322e9 | + | 8.14621e9i | 0.210110 | + | 0.363921i | ||||
\(907\) | −1.50756e10 | − | 2.61117e10i | −0.670886 | − | 1.16201i | −0.977653 | − | 0.210224i | \(-0.932581\pi\) |
0.306767 | − | 0.951785i | \(-0.400753\pi\) | |||||||
\(908\) | 2.32899e9 | − | 4.03394e9i | 0.103245 | − | 0.178825i | ||||
\(909\) | −9.85113e9 | + | 1.70627e10i | −0.435023 | + | 0.753483i | ||||
\(910\) | −1.47297e9 | + | 2.55126e9i | −0.0647962 | + | 0.112230i | ||||
\(911\) | −6.16049e9 | −0.269961 | −0.134980 | − | 0.990848i | \(-0.543097\pi\) | ||||
−0.134980 | + | 0.990848i | \(0.543097\pi\) | |||||||
\(912\) | 9.87031e8 | + | 1.70959e9i | 0.0430873 | + | 0.0746293i | ||||
\(913\) | −7.01567e9 | + | 1.21515e10i | −0.305085 | + | 0.528423i | ||||
\(914\) | −3.53618e10 | −1.53187 | ||||||||
\(915\) | −3.54497e9 | −0.152981 | ||||||||
\(916\) | 8.59532e8 | − | 1.48875e9i | 0.0369511 | − | 0.0640012i | ||||
\(917\) | 4.55326e10 | 1.94998 | ||||||||
\(918\) | −7.09965e9 | − | 1.22970e10i | −0.302892 | − | 0.524624i | ||||
\(919\) | 1.04249e10 | 0.443066 | 0.221533 | − | 0.975153i | \(-0.428894\pi\) | ||||
0.221533 | + | 0.975153i | \(0.428894\pi\) | |||||||
\(920\) | 9.22911e9 | + | 1.59853e10i | 0.390753 | + | 0.676804i | ||||
\(921\) | 4.04060e9 | + | 6.99852e9i | 0.170427 | + | 0.295187i | ||||
\(922\) | 1.48360e10 | + | 2.56967e10i | 0.623388 | + | 1.07974i | ||||
\(923\) | −1.14946e9 | + | 1.99093e9i | −0.0481159 | + | 0.0833393i | ||||
\(924\) | 3.07963e9 | 0.128424 | ||||||||
\(925\) | 3.83974e9 | + | 2.69172e9i | 0.159517 | + | 0.111824i | ||||
\(926\) | −2.42768e10 | −1.00474 | ||||||||
\(927\) | −4.82556e9 | + | 8.35812e9i | −0.198962 | + | 0.344611i | ||||
\(928\) | −7.80949e9 | − | 1.35264e10i | −0.320778 | − | 0.555604i | ||||
\(929\) | 1.54547e10 | + | 2.67683e10i | 0.632420 | + | 1.09538i | 0.987055 | + | 0.160379i | \(0.0512718\pi\) |
−0.354635 | + | 0.935005i | \(0.615395\pi\) | |||||||
\(930\) | −1.03920e9 | − | 1.79995e9i | −0.0423653 | − | 0.0733789i | ||||
\(931\) | 9.98346e9 | 0.405469 | ||||||||
\(932\) | 1.11849e8 | + | 1.93728e8i | 0.00452560 | + | 0.00783857i | ||||
\(933\) | −1.63069e9 | −0.0657334 | ||||||||
\(934\) | −2.12043e10 | + | 3.67270e10i | −0.851551 | + | 1.47493i | ||||
\(935\) | 1.21836e10 | 0.487454 | ||||||||
\(936\) | 1.28189e9 | 0.0510960 | ||||||||
\(937\) | 1.85849e10 | − | 3.21900e10i | 0.738026 | − | 1.27830i | −0.215357 | − | 0.976535i | \(-0.569092\pi\) |
0.953383 | − | 0.301763i | \(-0.0975751\pi\) | |||||||
\(938\) | −1.46557e10 | − | 2.53844e10i | −0.579825 | − | 1.00429i | ||||
\(939\) | 3.27131e9 | 0.128941 | ||||||||
\(940\) | −4.09017e9 | + | 7.08439e9i | −0.160618 | + | 0.278199i | ||||
\(941\) | −9.47622e9 | + | 1.64133e10i | −0.370742 | + | 0.642143i | −0.989680 | − | 0.143296i | \(-0.954230\pi\) |
0.618938 | + | 0.785440i | \(0.287563\pi\) | |||||||
\(942\) | −1.00716e10 | + | 1.74446e10i | −0.392574 | + | 0.679958i | ||||
\(943\) | −1.94728e10 | − | 3.37278e10i | −0.756200 | − | 1.30978i | ||||
\(944\) | −1.12849e10 | − | 1.95460e10i | −0.436612 | − | 0.756235i | ||||
\(945\) | 1.55522e10 | − | 2.69371e10i | 0.599486 | − | 1.03834i | ||||
\(946\) | 1.13058e10 | − | 1.95822e10i | 0.434193 | − | 0.752044i | ||||
\(947\) | 3.28817e9 | − | 5.69527e9i | 0.125814 | − | 0.217916i | −0.796237 | − | 0.604985i | \(-0.793179\pi\) |
0.922051 | + | 0.387069i | \(0.126512\pi\) | |||||||
\(948\) | −1.77671e7 | −0.000677311 | ||||||||
\(949\) | −1.15542e9 | − | 2.00125e9i | −0.0438842 | − | 0.0760097i | ||||
\(950\) | −5.17373e8 | + | 8.96117e8i | −0.0195781 | + | 0.0339103i | ||||
\(951\) | −1.79118e10 | −0.675316 | ||||||||
\(952\) | −2.98237e10 | −1.12029 | ||||||||
\(953\) | 1.42117e10 | − | 2.46154e10i | 0.531889 | − | 0.921259i | −0.467418 | − | 0.884037i | \(-0.654816\pi\) |
0.999307 | − | 0.0372228i | \(-0.0118511\pi\) | |||||||
\(954\) | −2.22183e10 | −0.828500 | ||||||||
\(955\) | 7.60231e9 | + | 1.31676e10i | 0.282445 | + | 0.489209i | ||||
\(956\) | 8.35633e9 | 0.309324 | ||||||||
\(957\) | 5.56002e9 | + | 9.63024e9i | 0.205062 | + | 0.355178i | ||||
\(958\) | −2.80991e10 | − | 4.86691e10i | −1.03256 | − | 1.78844i | ||||
\(959\) | −1.20878e10 | − | 2.09367e10i | −0.442572 | − | 0.766556i | ||||
\(960\) | 3.28402e9 | − | 5.68810e9i | 0.119800 | − | 0.207500i | ||||
\(961\) | −2.62978e10 | −0.955846 | ||||||||
\(962\) | −1.94141e8 | + | 2.20526e9i | −0.00703078 | + | 0.0798633i | ||||
\(963\) | 3.44534e10 | 1.24320 | ||||||||
\(964\) | −4.25911e9 | + | 7.37700e9i | −0.153126 | + | 0.265222i | ||||
\(965\) | 9.03400e8 | + | 1.56473e9i | 0.0323619 | + | 0.0560525i | ||||
\(966\) | −1.16539e10 | − | 2.01852e10i | −0.415961 | − | 0.720465i | ||||
\(967\) | 2.19962e10 | + | 3.80986e10i | 0.782267 | + | 1.35493i | 0.930618 | + | 0.365992i | \(0.119270\pi\) |
−0.148350 | + | 0.988935i | \(0.547396\pi\) | |||||||
\(968\) | −1.08109e10 | −0.383088 | ||||||||
\(969\) | −7.57907e8 | − | 1.31273e9i | −0.0267598 | − | 0.0463493i | ||||
\(970\) | −3.01454e10 | −1.06052 | ||||||||
\(971\) | 7.81449e9 | − | 1.35351e10i | 0.273926 | − | 0.474454i | −0.695938 | − | 0.718102i | \(-0.745011\pi\) |
0.969864 | + | 0.243648i | \(0.0783443\pi\) | |||||||
\(972\) | 6.54721e9 | 0.228678 | ||||||||
\(973\) | −2.44385e10 | −0.850511 | ||||||||
\(974\) | −2.29260e10 | + | 3.97089e10i | −0.795007 | + | 1.37699i | ||||
\(975\) | −8.20013e7 | − | 1.42030e8i | −0.00283338 | − | 0.00490756i | ||||
\(976\) | −1.44907e10 | −0.498900 | ||||||||
\(977\) | 1.84648e10 | − | 3.19820e10i | 0.633453 | − | 1.09717i | −0.353388 | − | 0.935477i | \(-0.614970\pi\) |
0.986841 | − | 0.161696i | \(-0.0516964\pi\) | |||||||
\(978\) | 8.70941e9 | − | 1.50851e10i | 0.297716 | − | 0.515660i | ||||
\(979\) | −1.24909e10 | + | 2.16349e10i | −0.425457 | + | 0.736913i | ||||
\(980\) | 7.07847e9 | + | 1.22603e10i | 0.240242 | + | 0.416111i | ||||
\(981\) | −2.14127e10 | − | 3.70879e10i | −0.724152 | − | 1.25427i | ||||
\(982\) | −1.33293e10 | + | 2.30870e10i | −0.449176 | + | 0.777996i | ||||
\(983\) | −5.26055e9 | + | 9.11155e9i | −0.176642 | + | 0.305953i | −0.940728 | − | 0.339161i | \(-0.889857\pi\) |
0.764086 | + | 0.645114i | \(0.223190\pi\) | |||||||
\(984\) | −7.52516e9 | + | 1.30340e10i | −0.251787 | + | 0.436108i | ||||
\(985\) | 3.71278e10 | 1.23786 | ||||||||
\(986\) | 1.68653e10 | + | 2.92115e10i | 0.560304 | + | 0.970476i | ||||
\(987\) | −1.64892e10 | + | 2.85602e10i | −0.545871 | + | 0.945476i | ||||
\(988\) | −9.40767e7 | −0.00310337 | ||||||||
\(989\) | −3.29571e10 | −1.08333 | ||||||||
\(990\) | −9.44421e9 | + | 1.63578e10i | −0.309345 | + | 0.535800i | ||||
\(991\) | −4.39798e10 | −1.43547 | −0.717736 | − | 0.696315i | \(-0.754822\pi\) | ||||
−0.717736 | + | 0.696315i | \(0.754822\pi\) | |||||||
\(992\) | −1.51040e9 | − | 2.61609e9i | −0.0491248 | − | 0.0850866i | ||||
\(993\) | 1.17670e10 | 0.381368 | ||||||||
\(994\) | 4.14596e10 | + | 7.18101e10i | 1.33898 | + | 2.31917i | ||||
\(995\) | −3.42359e9 | − | 5.92983e9i | −0.110180 | − | 0.190837i | ||||
\(996\) | 1.23774e9 | + | 2.14383e9i | 0.0396937 | + | 0.0687515i | ||||
\(997\) | −5.62699e8 | + | 9.74623e8i | −0.0179822 | + | 0.0311461i | −0.874876 | − | 0.484346i | \(-0.839058\pi\) |
0.856894 | + | 0.515492i | \(0.172391\pi\) | |||||||
\(998\) | 1.26504e10 | 0.402855 | ||||||||
\(999\) | 2.04980e9 | − | 2.32839e10i | 0.0650478 | − | 0.738885i |
(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.10.17 | ✓ | 42 | |
37.26 | even | 3 | inner | 37.8.c.a.26.17 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.c.a.10.17 | ✓ | 42 | 1.1 | even | 1 | trivial | |
37.8.c.a.26.17 | yes | 42 | 37.26 | even | 3 | inner |