Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(32,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.l (of order \(6\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 32.17 | ||
Character | \(\chi\) | \(=\) | 231.32 |
Dual form | 231.2.l.b.65.17 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.794537 | + | 1.37618i | 0.561823 | + | 0.973106i | 0.997337 | + | 0.0729241i | \(0.0232331\pi\) |
−0.435515 | + | 0.900182i | \(0.643434\pi\) | |||||||
\(3\) | 0.668961 | − | 1.59765i | 0.386225 | − | 0.922405i | ||||
\(4\) | −0.262580 | + | 0.454801i | −0.131290 | + | 0.227401i | ||||
\(5\) | 1.14794 | − | 0.662766i | 0.513376 | − | 0.296398i | −0.220844 | − | 0.975309i | \(-0.570881\pi\) |
0.734220 | + | 0.678911i | \(0.237548\pi\) | |||||||
\(6\) | 2.73017 | − | 0.348784i | 1.11459 | − | 0.142391i | ||||
\(7\) | −2.48641 | + | 0.904309i | −0.939774 | + | 0.341797i | ||||
\(8\) | 2.34363 | 0.828599 | ||||||||
\(9\) | −2.10498 | − | 2.13753i | −0.701661 | − | 0.712511i | ||||
\(10\) | 1.82417 | + | 1.05318i | 0.576853 | + | 0.333046i | ||||
\(11\) | 2.42226 | + | 2.26554i | 0.730339 | + | 0.683085i | ||||
\(12\) | 0.550959 | + | 0.723755i | 0.159048 | + | 0.208930i | ||||
\(13\) | − | 3.14004i | − | 0.870891i | −0.900215 | − | 0.435446i | \(-0.856591\pi\) | ||
0.900215 | − | 0.435446i | \(-0.143409\pi\) | |||||||
\(14\) | −3.22004 | − | 2.70324i | −0.860591 | − | 0.722470i | ||||
\(15\) | −0.290940 | − | 2.27738i | −0.0751203 | − | 0.588017i | ||||
\(16\) | 2.38726 | + | 4.13486i | 0.596816 | + | 1.03372i | ||||
\(17\) | −1.28658 | + | 2.22841i | −0.312040 | + | 0.540470i | −0.978804 | − | 0.204799i | \(-0.934346\pi\) |
0.666764 | + | 0.745269i | \(0.267679\pi\) | |||||||
\(18\) | 1.26914 | − | 4.59518i | 0.299139 | − | 1.08310i | ||||
\(19\) | 3.54016 | − | 2.04391i | 0.812168 | − | 0.468905i | −0.0355403 | − | 0.999368i | \(-0.511315\pi\) |
0.847708 | + | 0.530463i | \(0.177982\pi\) | |||||||
\(20\) | 0.696115i | 0.155656i | ||||||||
\(21\) | −0.218538 | + | 4.57736i | −0.0476888 | + | 0.998862i | ||||
\(22\) | −1.19321 | + | 5.13352i | −0.254393 | + | 1.09447i | ||||
\(23\) | −6.23498 | + | 3.59977i | −1.30008 | + | 0.750604i | −0.980418 | − | 0.196927i | \(-0.936904\pi\) |
−0.319665 | + | 0.947531i | \(0.603570\pi\) | |||||||
\(24\) | 1.56780 | − | 3.74431i | 0.320025 | − | 0.764304i | ||||
\(25\) | −1.62148 | + | 2.80849i | −0.324297 | + | 0.561698i | ||||
\(26\) | 4.32126 | − | 2.49488i | 0.847469 | − | 0.489287i | ||||
\(27\) | −4.82318 | + | 1.93310i | −0.928222 | + | 0.372026i | ||||
\(28\) | 0.241599 | − | 1.36827i | 0.0456579 | − | 0.258580i | ||||
\(29\) | −4.92380 | −0.914326 | −0.457163 | − | 0.889383i | \(-0.651134\pi\) | ||||
−0.457163 | + | 0.889383i | \(0.651134\pi\) | |||||||
\(30\) | 2.90292 | − | 2.20985i | 0.529998 | − | 0.403461i | ||||
\(31\) | −0.543085 | + | 0.940652i | −0.0975410 | + | 0.168946i | −0.910666 | − | 0.413143i | \(-0.864431\pi\) |
0.813125 | + | 0.582089i | \(0.197764\pi\) | |||||||
\(32\) | −1.44991 | + | 2.51131i | −0.256310 | + | 0.443942i | ||||
\(33\) | 5.23994 | − | 2.35437i | 0.912156 | − | 0.409844i | ||||
\(34\) | −4.08893 | −0.701246 | ||||||||
\(35\) | −2.25491 | + | 2.68600i | −0.381150 | + | 0.454017i | ||||
\(36\) | 1.52488 | − | 0.396076i | 0.254146 | − | 0.0660127i | ||||
\(37\) | −0.551859 | − | 0.955847i | −0.0907250 | − | 0.157140i | 0.817091 | − | 0.576508i | \(-0.195585\pi\) |
−0.907816 | + | 0.419368i | \(0.862252\pi\) | |||||||
\(38\) | 5.62558 | + | 3.24793i | 0.912589 | + | 0.526883i | ||||
\(39\) | −5.01670 | − | 2.10057i | −0.803314 | − | 0.336360i | ||||
\(40\) | 2.69036 | − | 1.55328i | 0.425383 | − | 0.245595i | ||||
\(41\) | −6.61451 | −1.03301 | −0.516506 | − | 0.856283i | \(-0.672768\pi\) | ||||
−0.516506 | + | 0.856283i | \(0.672768\pi\) | |||||||
\(42\) | −6.47291 | + | 3.33614i | −0.998791 | + | 0.514777i | ||||
\(43\) | 5.86457i | 0.894339i | 0.894449 | + | 0.447169i | \(0.147568\pi\) | ||||
−0.894449 | + | 0.447169i | \(0.852432\pi\) | |||||||
\(44\) | −1.66641 | + | 0.506763i | −0.251220 | + | 0.0763974i | ||||
\(45\) | −3.83309 | − | 1.05866i | −0.571403 | − | 0.157815i | ||||
\(46\) | −9.90785 | − | 5.72030i | −1.46083 | − | 0.843412i | ||||
\(47\) | 1.18811 | − | 0.685956i | 0.173304 | − | 0.100057i | −0.410839 | − | 0.911708i | \(-0.634764\pi\) |
0.584143 | + | 0.811651i | \(0.301431\pi\) | |||||||
\(48\) | 8.20305 | − | 1.04796i | 1.18401 | − | 0.151259i | ||||
\(49\) | 5.36445 | − | 4.49696i | 0.766350 | − | 0.642423i | ||||
\(50\) | −5.15332 | −0.728789 | ||||||||
\(51\) | 2.69956 | + | 3.54622i | 0.378014 | + | 0.496570i | ||||
\(52\) | 1.42810 | + | 0.824511i | 0.198041 | + | 0.114339i | ||||
\(53\) | −2.25372 | − | 1.30119i | −0.309572 | − | 0.178732i | 0.337163 | − | 0.941446i | \(-0.390533\pi\) |
−0.646735 | + | 0.762715i | \(0.723866\pi\) | |||||||
\(54\) | −6.49250 | − | 5.10164i | −0.883517 | − | 0.694246i | ||||
\(55\) | 4.28214 | + | 0.995319i | 0.577404 | + | 0.134209i | ||||
\(56\) | −5.82723 | + | 2.11937i | −0.778696 | + | 0.283213i | ||||
\(57\) | −0.897232 | − | 7.02324i | −0.118841 | − | 0.930250i | ||||
\(58\) | −3.91214 | − | 6.77603i | −0.513689 | − | 0.889736i | ||||
\(59\) | 9.38357 | + | 5.41761i | 1.22164 | + | 0.705312i | 0.965267 | − | 0.261267i | \(-0.0841401\pi\) |
0.256370 | + | 0.966579i | \(0.417473\pi\) | |||||||
\(60\) | 1.11215 | + | 0.465674i | 0.143578 | + | 0.0601182i | ||||
\(61\) | 8.35441 | − | 4.82342i | 1.06967 | − | 0.617576i | 0.141581 | − | 0.989927i | \(-0.454782\pi\) |
0.928092 | + | 0.372351i | \(0.121448\pi\) | |||||||
\(62\) | −1.72601 | −0.219203 | ||||||||
\(63\) | 7.16684 | + | 3.41122i | 0.902937 | + | 0.429774i | ||||
\(64\) | 4.94103 | 0.617629 | ||||||||
\(65\) | −2.08111 | − | 3.60459i | −0.258130 | − | 0.447095i | ||||
\(66\) | 7.40336 | + | 5.34045i | 0.911291 | + | 0.657365i | ||||
\(67\) | 4.67526 | − | 8.09778i | 0.571173 | − | 0.989301i | −0.425272 | − | 0.905065i | \(-0.639822\pi\) |
0.996446 | − | 0.0842360i | \(-0.0268450\pi\) | |||||||
\(68\) | −0.675657 | − | 1.17027i | −0.0819355 | − | 0.141916i | ||||
\(69\) | 1.58022 | + | 12.3694i | 0.190236 | + | 1.48910i | ||||
\(70\) | −5.48803 | − | 0.969033i | −0.655945 | − | 0.115822i | ||||
\(71\) | − | 11.4982i | − | 1.36458i | −0.731080 | − | 0.682292i | \(-0.760983\pi\) | ||
0.731080 | − | 0.682292i | \(-0.239017\pi\) | |||||||
\(72\) | −4.93331 | − | 5.00959i | −0.581396 | − | 0.590386i | ||||
\(73\) | −11.3488 | − | 6.55223i | −1.32828 | − | 0.766880i | −0.343243 | − | 0.939247i | \(-0.611525\pi\) |
−0.985033 | + | 0.172366i | \(0.944859\pi\) | |||||||
\(74\) | 0.876945 | − | 1.51891i | 0.101943 | − | 0.176570i | ||||
\(75\) | 3.40228 | + | 4.46934i | 0.392862 | + | 0.516074i | ||||
\(76\) | 2.14676i | 0.246250i | ||||||||
\(77\) | −8.07147 | − | 3.44258i | −0.919830 | − | 0.392318i | ||||
\(78\) | −1.09520 | − | 8.57285i | −0.124007 | − | 0.970684i | ||||
\(79\) | −5.91010 | + | 3.41220i | −0.664939 | + | 0.383902i | −0.794156 | − | 0.607714i | \(-0.792087\pi\) |
0.129218 | + | 0.991616i | \(0.458753\pi\) | |||||||
\(80\) | 5.48089 | + | 3.16439i | 0.612782 | + | 0.353790i | ||||
\(81\) | −0.138093 | + | 8.99894i | −0.0153437 | + | 0.999882i | ||||
\(82\) | −5.25547 | − | 9.10275i | −0.580370 | − | 1.00523i | ||||
\(83\) | 13.1868 | 1.44744 | 0.723720 | − | 0.690094i | \(-0.242431\pi\) | ||||
0.723720 | + | 0.690094i | \(0.242431\pi\) | |||||||
\(84\) | −2.02441 | − | 1.30131i | −0.220881 | − | 0.141985i | ||||
\(85\) | 3.41079i | 0.369952i | ||||||||
\(86\) | −8.07070 | + | 4.65962i | −0.870286 | + | 0.502460i | ||||
\(87\) | −3.29383 | + | 7.86651i | −0.353135 | + | 0.843379i | ||||
\(88\) | 5.67689 | + | 5.30959i | 0.605158 | + | 0.566004i | ||||
\(89\) | −11.1102 | + | 6.41449i | −1.17768 | + | 0.679934i | −0.955477 | − | 0.295066i | \(-0.904658\pi\) |
−0.222204 | + | 0.975000i | \(0.571325\pi\) | |||||||
\(90\) | −1.58863 | − | 6.11616i | −0.167456 | − | 0.644700i | ||||
\(91\) | 2.83957 | + | 7.80743i | 0.297668 | + | 0.818441i | ||||
\(92\) | − | 3.78090i | − | 0.394186i | ||||||
\(93\) | 1.13953 | + | 1.49692i | 0.118164 | + | 0.155223i | ||||
\(94\) | 1.88800 | + | 1.09004i | 0.194732 | + | 0.112429i | ||||
\(95\) | 2.70927 | − | 4.69259i | 0.277965 | − | 0.481450i | ||||
\(96\) | 3.04227 | + | 3.99642i | 0.310501 | + | 0.407883i | ||||
\(97\) | −6.94379 | −0.705035 | −0.352517 | − | 0.935805i | \(-0.614674\pi\) | ||||
−0.352517 | + | 0.935805i | \(0.614674\pi\) | |||||||
\(98\) | 10.4509 | + | 3.80944i | 1.05570 | + | 0.384811i | ||||
\(99\) | −0.256156 | − | 9.94658i | −0.0257446 | − | 0.999669i | ||||
\(100\) | −0.851537 | − | 1.47491i | −0.0851537 | − | 0.147491i | ||||
\(101\) | 6.72619 | − | 11.6501i | 0.669281 | − | 1.15923i | −0.308825 | − | 0.951119i | \(-0.599936\pi\) |
0.978106 | − | 0.208109i | \(-0.0667309\pi\) | |||||||
\(102\) | −2.73533 | + | 6.53269i | −0.270838 | + | 0.646832i | ||||
\(103\) | 0.410762 | + | 0.711460i | 0.0404736 | + | 0.0701023i | 0.885553 | − | 0.464539i | \(-0.153780\pi\) |
−0.845079 | + | 0.534641i | \(0.820447\pi\) | |||||||
\(104\) | − | 7.35911i | − | 0.721620i | ||||||
\(105\) | 2.78285 | + | 5.39939i | 0.271578 | + | 0.526927i | ||||
\(106\) | − | 4.13536i | − | 0.401662i | ||||||
\(107\) | 8.17346 | + | 14.1568i | 0.790158 | + | 1.36859i | 0.925869 | + | 0.377845i | \(0.123335\pi\) |
−0.135711 | + | 0.990748i | \(0.543332\pi\) | |||||||
\(108\) | 0.387292 | − | 2.70118i | 0.0372672 | − | 0.259922i | ||||
\(109\) | 8.98612 | + | 5.18814i | 0.860715 | + | 0.496934i | 0.864252 | − | 0.503060i | \(-0.167793\pi\) |
−0.00353691 | + | 0.999994i | \(0.501126\pi\) | |||||||
\(110\) | 2.03258 | + | 6.68381i | 0.193799 | + | 0.637276i | ||||
\(111\) | −1.89628 | + | 0.242254i | −0.179987 | + | 0.0229937i | ||||
\(112\) | −9.67490 | − | 8.12213i | −0.914193 | − | 0.767469i | ||||
\(113\) | − | 6.79650i | − | 0.639361i | −0.947525 | − | 0.319680i | \(-0.896424\pi\) | ||
0.947525 | − | 0.319680i | \(-0.103576\pi\) | |||||||
\(114\) | 8.95235 | − | 6.81498i | 0.838464 | − | 0.638281i | ||||
\(115\) | −4.77161 | + | 8.26467i | −0.444955 | + | 0.770684i | ||||
\(116\) | 1.29289 | − | 2.23935i | 0.120042 | − | 0.207918i | ||||
\(117\) | −6.71194 | + | 6.60974i | −0.620519 | + | 0.611070i | ||||
\(118\) | 17.2180i | 1.58504i | ||||||||
\(119\) | 1.18378 | − | 6.70421i | 0.108517 | − | 0.614574i | ||||
\(120\) | −0.681855 | − | 5.33734i | −0.0622446 | − | 0.487230i | ||||
\(121\) | 0.734684 | + | 10.9754i | 0.0667894 | + | 0.997767i | ||||
\(122\) | 13.2758 | + | 7.66478i | 1.20193 | + | 0.693936i | ||||
\(123\) | −4.42485 | + | 10.5677i | −0.398975 | + | 0.952856i | ||||
\(124\) | −0.285206 | − | 0.493992i | −0.0256123 | − | 0.0443618i | ||||
\(125\) | 10.9263i | 0.977279i | ||||||||
\(126\) | 0.999867 | + | 12.5732i | 0.0890753 | + | 1.12011i | ||||
\(127\) | − | 4.35373i | − | 0.386331i | −0.981166 | − | 0.193166i | \(-0.938125\pi\) | ||
0.981166 | − | 0.193166i | \(-0.0618754\pi\) | |||||||
\(128\) | 6.82565 | + | 11.8224i | 0.603308 | + | 1.04496i | ||||
\(129\) | 9.36954 | + | 3.92317i | 0.824942 | + | 0.345416i | ||||
\(130\) | 3.30704 | − | 5.72797i | 0.290047 | − | 0.502376i | ||||
\(131\) | 1.57350 | + | 2.72539i | 0.137478 | + | 0.238118i | 0.926541 | − | 0.376193i | \(-0.122767\pi\) |
−0.789064 | + | 0.614312i | \(0.789434\pi\) | |||||||
\(132\) | −0.305129 | + | 3.00134i | −0.0265581 | + | 0.261233i | ||||
\(133\) | −6.95395 | + | 8.28339i | −0.602984 | + | 0.718261i | ||||
\(134\) | 14.8587 | 1.28359 | ||||||||
\(135\) | −4.25555 | + | 5.41574i | −0.366259 | + | 0.466112i | ||||
\(136\) | −3.01526 | + | 5.22258i | −0.258556 | + | 0.447833i | ||||
\(137\) | −3.36383 | − | 1.94211i | −0.287391 | − | 0.165925i | 0.349374 | − | 0.936984i | \(-0.386394\pi\) |
−0.636765 | + | 0.771058i | \(0.719728\pi\) | |||||||
\(138\) | −15.7670 | + | 12.0026i | −1.34218 | + | 1.02173i | ||||
\(139\) | − | 13.8041i | − | 1.17085i | −0.810728 | − | 0.585423i | \(-0.800929\pi\) | ||
0.810728 | − | 0.585423i | \(-0.199071\pi\) | |||||||
\(140\) | −0.629504 | − | 1.73083i | −0.0532028 | − | 0.146282i | ||||
\(141\) | −0.301119 | − | 2.35706i | −0.0253588 | − | 0.198501i | ||||
\(142\) | 15.8236 | − | 9.13574i | 1.32788 | − | 0.766655i | ||||
\(143\) | 7.11388 | − | 7.60600i | 0.594893 | − | 0.636046i | ||||
\(144\) | 3.81325 | − | 13.8067i | 0.317771 | − | 1.15056i | ||||
\(145\) | −5.65224 | + | 3.26332i | −0.469393 | + | 0.271004i | ||||
\(146\) | − | 20.8240i | − | 1.72340i | ||||||
\(147\) | −3.59598 | − | 11.5788i | −0.296591 | − | 0.955005i | ||||
\(148\) | 0.579627 | 0.0476451 | ||||||||
\(149\) | −11.2592 | − | 19.5015i | −0.922390 | − | 1.59763i | −0.795706 | − | 0.605683i | \(-0.792900\pi\) |
−0.126684 | − | 0.991943i | \(-0.540434\pi\) | |||||||
\(150\) | −3.44737 | + | 8.23320i | −0.281476 | + | 0.672238i | ||||
\(151\) | 14.3117 | + | 8.26289i | 1.16467 | + | 0.672424i | 0.952420 | − | 0.304790i | \(-0.0985864\pi\) |
0.212254 | + | 0.977215i | \(0.431920\pi\) | |||||||
\(152\) | 8.29683 | − | 4.79018i | 0.672962 | − | 0.388535i | ||||
\(153\) | 7.47153 | − | 1.94068i | 0.604037 | − | 0.156894i | ||||
\(154\) | −1.67548 | − | 13.8430i | −0.135014 | − | 1.11550i | ||||
\(155\) | 1.43975i | 0.115644i | ||||||||
\(156\) | 2.27262 | − | 1.73003i | 0.181955 | − | 0.138514i | ||||
\(157\) | 7.12938 | − | 12.3485i | 0.568987 | − | 0.985514i | −0.427680 | − | 0.903930i | \(-0.640669\pi\) |
0.996666 | − | 0.0815837i | \(-0.0259978\pi\) | |||||||
\(158\) | −9.39160 | − | 5.42224i | −0.747155 | − | 0.431370i | ||||
\(159\) | −3.58649 | + | 2.73022i | −0.284427 | + | 0.216520i | ||||
\(160\) | 3.84380i | 0.303879i | ||||||||
\(161\) | 12.2474 | − | 14.5888i | 0.965231 | − | 1.14976i | ||||
\(162\) | −12.4939 | + | 6.95995i | −0.981612 | + | 0.546826i | ||||
\(163\) | −0.227521 | − | 0.394078i | −0.0178208 | − | 0.0308666i | 0.856977 | − | 0.515354i | \(-0.172340\pi\) |
−0.874798 | + | 0.484487i | \(0.839006\pi\) | |||||||
\(164\) | 1.73684 | − | 3.00829i | 0.135624 | − | 0.234908i | ||||
\(165\) | 4.45476 | − | 6.17554i | 0.346802 | − | 0.480765i | ||||
\(166\) | 10.4774 | + | 18.1474i | 0.813205 | + | 1.40851i | ||||
\(167\) | −5.76601 | −0.446187 | −0.223094 | − | 0.974797i | \(-0.571616\pi\) | ||||
−0.223094 | + | 0.974797i | \(0.571616\pi\) | |||||||
\(168\) | −0.512172 | + | 10.7277i | −0.0395149 | + | 0.827656i | ||||
\(169\) | 3.14013 | 0.241549 | ||||||||
\(170\) | −4.69386 | + | 2.71000i | −0.360003 | + | 0.207848i | ||||
\(171\) | −11.8209 | − | 3.26481i | −0.903967 | − | 0.249666i | ||||
\(172\) | −2.66721 | − | 1.53992i | −0.203373 | − | 0.117418i | ||||
\(173\) | −8.56755 | − | 14.8394i | −0.651379 | − | 1.12822i | −0.982788 | − | 0.184734i | \(-0.940857\pi\) |
0.331409 | − | 0.943487i | \(-0.392476\pi\) | |||||||
\(174\) | −13.4428 | + | 1.71734i | −1.01910 | + | 0.130191i | ||||
\(175\) | 1.49192 | − | 8.44938i | 0.112779 | − | 0.638713i | ||||
\(176\) | −3.58511 | + | 15.4241i | −0.270238 | + | 1.16264i | ||||
\(177\) | 14.9327 | − | 11.3675i | 1.12241 | − | 0.854434i | ||||
\(178\) | −17.6550 | − | 10.1931i | −1.32330 | − | 0.764005i | ||||
\(179\) | −0.234371 | − | 0.135314i | −0.0175177 | − | 0.0101139i | 0.491216 | − | 0.871038i | \(-0.336553\pi\) |
−0.508733 | + | 0.860924i | \(0.669886\pi\) | |||||||
\(180\) | 1.48797 | − | 1.46531i | 0.110907 | − | 0.109218i | ||||
\(181\) | 10.1490 | 0.754367 | 0.377184 | − | 0.926139i | \(-0.376893\pi\) | ||||
0.377184 | + | 0.926139i | \(0.376893\pi\) | |||||||
\(182\) | −8.48827 | + | 10.1111i | −0.629193 | + | 0.749481i | ||||
\(183\) | −2.11738 | − | 16.5741i | −0.156521 | − | 1.22519i | ||||
\(184\) | −14.6125 | + | 8.43653i | −1.07725 | + | 0.621950i | ||||
\(185\) | −1.26701 | − | 0.731506i | −0.0931521 | − | 0.0537814i | ||||
\(186\) | −1.15463 | + | 2.75756i | −0.0846616 | + | 0.202194i | ||||
\(187\) | −8.16498 | + | 2.48301i | −0.597082 | + | 0.181576i | ||||
\(188\) | 0.720472i | 0.0525458i | ||||||||
\(189\) | 10.2443 | − | 9.16814i | 0.745162 | − | 0.666884i | ||||
\(190\) | 8.61046 | 0.624669 | ||||||||
\(191\) | −16.7335 | + | 9.66107i | −1.21079 | + | 0.699050i | −0.962932 | − | 0.269746i | \(-0.913060\pi\) |
−0.247859 | + | 0.968796i | \(0.579727\pi\) | |||||||
\(192\) | 3.30535 | − | 7.89404i | 0.238543 | − | 0.569704i | ||||
\(193\) | 12.9982 | + | 7.50449i | 0.935628 | + | 0.540185i | 0.888587 | − | 0.458708i | \(-0.151687\pi\) |
0.0470411 | + | 0.998893i | \(0.485021\pi\) | |||||||
\(194\) | −5.51710 | − | 9.55590i | −0.396105 | − | 0.686073i | ||||
\(195\) | −7.15107 | + | 0.913563i | −0.512099 | + | 0.0654216i | ||||
\(196\) | 0.636630 | + | 3.62057i | 0.0454736 | + | 0.258612i | ||||
\(197\) | −3.09819 | −0.220737 | −0.110368 | − | 0.993891i | \(-0.535203\pi\) | ||||
−0.110368 | + | 0.993891i | \(0.535203\pi\) | |||||||
\(198\) | 13.4847 | − | 8.25544i | 0.958319 | − | 0.586689i | ||||
\(199\) | 1.14997 | − | 1.99180i | 0.0815191 | − | 0.141195i | −0.822384 | − | 0.568934i | \(-0.807356\pi\) |
0.903903 | + | 0.427738i | \(0.140689\pi\) | |||||||
\(200\) | −3.80016 | + | 6.58207i | −0.268712 | + | 0.465423i | ||||
\(201\) | −9.80987 | − | 12.8865i | −0.691935 | − | 0.908946i | ||||
\(202\) | 21.3768 | 1.50407 | ||||||||
\(203\) | 12.2426 | − | 4.45264i | 0.859260 | − | 0.312514i | ||||
\(204\) | −2.32168 | + | 0.296599i | −0.162550 | + | 0.0207660i | ||||
\(205\) | −7.59308 | + | 4.38387i | −0.530324 | + | 0.306183i | ||||
\(206\) | −0.652731 | + | 1.13056i | −0.0454780 | + | 0.0787701i | ||||
\(207\) | 20.8192 | + | 5.75003i | 1.44703 | + | 0.399654i | ||||
\(208\) | 12.9836 | − | 7.49611i | 0.900254 | − | 0.519762i | ||||
\(209\) | 13.2057 | + | 3.06948i | 0.913460 | + | 0.212320i | ||||
\(210\) | −5.21946 | + | 8.11972i | −0.360177 | + | 0.560314i | ||||
\(211\) | 3.96226i | 0.272773i | 0.990656 | + | 0.136387i | \(0.0435489\pi\) | ||||
−0.990656 | + | 0.136387i | \(0.956451\pi\) | |||||||
\(212\) | 1.18356 | − | 0.683330i | 0.0812873 | − | 0.0469313i | ||||
\(213\) | −18.3701 | − | 7.69184i | −1.25870 | − | 0.527036i | ||||
\(214\) | −12.9882 | + | 22.4963i | −0.887857 | + | 1.53781i | ||||
\(215\) | 3.88684 | + | 6.73220i | 0.265080 | + | 0.459132i | ||||
\(216\) | −11.3038 | + | 4.53049i | −0.769124 | + | 0.308261i | ||||
\(217\) | 0.499692 | − | 2.82996i | 0.0339213 | − | 0.192110i | ||||
\(218\) | 16.4887i | 1.11676i | ||||||||
\(219\) | −18.0601 | + | 13.7482i | −1.22039 | + | 0.929020i | ||||
\(220\) | −1.57707 | + | 1.68617i | −0.106326 | + | 0.113682i | ||||
\(221\) | 6.99732 | + | 4.03990i | 0.470690 | + | 0.271753i | ||||
\(222\) | −1.84005 | − | 2.41715i | −0.123496 | − | 0.162228i | ||||
\(223\) | −16.7567 | −1.12211 | −0.561055 | − | 0.827779i | \(-0.689604\pi\) | ||||
−0.561055 | + | 0.827779i | \(0.689604\pi\) | |||||||
\(224\) | 1.33406 | − | 7.55532i | 0.0891354 | − | 0.504811i | ||||
\(225\) | 9.41644 | − | 2.44585i | 0.627762 | − | 0.163057i | ||||
\(226\) | 9.35320 | − | 5.40007i | 0.622166 | − | 0.359207i | ||||
\(227\) | −7.03490 | + | 12.1848i | −0.466923 | + | 0.808734i | −0.999286 | − | 0.0377823i | \(-0.987971\pi\) |
0.532363 | + | 0.846516i | \(0.321304\pi\) | |||||||
\(228\) | 3.42977 | + | 1.43610i | 0.227142 | + | 0.0951078i | ||||
\(229\) | −0.788744 | − | 1.36615i | −0.0521217 | − | 0.0902774i | 0.838787 | − | 0.544459i | \(-0.183265\pi\) |
−0.890909 | + | 0.454182i | \(0.849932\pi\) | |||||||
\(230\) | −15.1649 | −0.999943 | ||||||||
\(231\) | −10.8995 | + | 10.5925i | −0.717137 | + | 0.696932i | ||||
\(232\) | −11.5396 | −0.757610 | ||||||||
\(233\) | −3.94915 | − | 6.84012i | −0.258717 | − | 0.448111i | 0.707181 | − | 0.707032i | \(-0.249966\pi\) |
−0.965899 | + | 0.258921i | \(0.916633\pi\) | |||||||
\(234\) | −14.4291 | − | 3.98516i | −0.943258 | − | 0.260518i | ||||
\(235\) | 0.909256 | − | 1.57488i | 0.0593133 | − | 0.102734i | ||||
\(236\) | −4.92787 | + | 2.84511i | −0.320777 | + | 0.185201i | ||||
\(237\) | 1.49788 | + | 11.7249i | 0.0972978 | + | 0.761615i | ||||
\(238\) | 10.1667 | − | 3.69766i | 0.659012 | − | 0.239684i | ||||
\(239\) | 4.32649 | 0.279858 | 0.139929 | − | 0.990162i | \(-0.455313\pi\) | ||||
0.139929 | + | 0.990162i | \(0.455313\pi\) | |||||||
\(240\) | 8.72210 | − | 6.63970i | 0.563009 | − | 0.428591i | ||||
\(241\) | −2.19406 | − | 1.26674i | −0.141332 | − | 0.0815979i | 0.427667 | − | 0.903936i | \(-0.359336\pi\) |
−0.568999 | + | 0.822339i | \(0.692669\pi\) | |||||||
\(242\) | −14.5204 | + | 9.73145i | −0.933409 | + | 0.625562i | ||||
\(243\) | 14.2848 | + | 6.24056i | 0.916370 | + | 0.400332i | ||||
\(244\) | 5.06613i | 0.324326i | ||||||||
\(245\) | 3.17765 | − | 8.71764i | 0.203013 | − | 0.556949i | ||||
\(246\) | −18.0587 | + | 2.30704i | −1.15138 | + | 0.147091i | ||||
\(247\) | −6.41797 | − | 11.1162i | −0.408366 | − | 0.707310i | ||||
\(248\) | −1.27279 | + | 2.20454i | −0.0808224 | + | 0.139989i | ||||
\(249\) | 8.82146 | − | 21.0679i | 0.559037 | − | 1.33513i | ||||
\(250\) | −15.0366 | + | 8.68136i | −0.950996 | + | 0.549058i | ||||
\(251\) | − | 14.0151i | − | 0.884624i | −0.896861 | − | 0.442312i | \(-0.854158\pi\) | ||
0.896861 | − | 0.442312i | \(-0.145842\pi\) | |||||||
\(252\) | −3.43329 | + | 2.36377i | −0.216277 | + | 0.148903i | ||||
\(253\) | −23.2582 | − | 5.40601i | −1.46223 | − | 0.339873i | ||||
\(254\) | 5.99151 | − | 3.45920i | 0.375941 | − | 0.217050i | ||||
\(255\) | 5.44926 | + | 2.28169i | 0.341246 | + | 0.142885i | ||||
\(256\) | −5.90544 | + | 10.2285i | −0.369090 | + | 0.639282i | ||||
\(257\) | −19.7378 | + | 11.3957i | −1.23121 | + | 0.710841i | −0.967283 | − | 0.253700i | \(-0.918352\pi\) |
−0.263930 | + | 0.964542i | \(0.585019\pi\) | |||||||
\(258\) | 2.04547 | + | 16.0113i | 0.127345 | + | 0.996818i | ||||
\(259\) | 2.23653 | + | 1.87757i | 0.138971 | + | 0.116667i | ||||
\(260\) | 2.18583 | 0.135560 | ||||||||
\(261\) | 10.3645 | + | 10.5248i | 0.641547 | + | 0.651467i | ||||
\(262\) | −2.50041 | + | 4.33084i | −0.154476 | + | 0.267560i | ||||
\(263\) | 7.10965 | − | 12.3143i | 0.438400 | − | 0.759331i | −0.559167 | − | 0.829055i | \(-0.688879\pi\) |
0.997566 | + | 0.0697247i | \(0.0222121\pi\) | |||||||
\(264\) | 12.2805 | − | 5.51778i | 0.755812 | − | 0.339596i | ||||
\(265\) | −3.44952 | −0.211903 | ||||||||
\(266\) | −16.9246 | − | 2.98841i | −1.03771 | − | 0.183231i | ||||
\(267\) | 2.81582 | + | 22.0413i | 0.172325 | + | 1.34891i | ||||
\(268\) | 2.45525 | + | 4.25262i | 0.149979 | + | 0.259770i | ||||
\(269\) | −4.60836 | − | 2.66064i | −0.280977 | − | 0.162222i | 0.352889 | − | 0.935665i | \(-0.385199\pi\) |
−0.633865 | + | 0.773443i | \(0.718533\pi\) | |||||||
\(270\) | −10.8342 | − | 1.55339i | −0.659350 | − | 0.0945365i | ||||
\(271\) | 1.88074 | − | 1.08585i | 0.114247 | − | 0.0659606i | −0.441788 | − | 0.897120i | \(-0.645656\pi\) |
0.556035 | + | 0.831159i | \(0.312322\pi\) | |||||||
\(272\) | −12.2856 | −0.744923 | ||||||||
\(273\) | 14.3731 | + | 0.686218i | 0.869900 | + | 0.0415318i | ||||
\(274\) | − | 6.17231i | − | 0.372883i | ||||||
\(275\) | −10.2904 | + | 3.12936i | −0.620534 | + | 0.188708i | ||||
\(276\) | −6.04057 | − | 2.52928i | −0.363599 | − | 0.152245i | ||||
\(277\) | −12.0392 | − | 6.95086i | −0.723367 | − | 0.417636i | 0.0926234 | − | 0.995701i | \(-0.470475\pi\) |
−0.815991 | + | 0.578065i | \(0.803808\pi\) | |||||||
\(278\) | 18.9969 | − | 10.9678i | 1.13936 | − | 0.657808i | ||||
\(279\) | 3.15386 | − | 0.819193i | 0.188817 | − | 0.0490438i | ||||
\(280\) | −5.28468 | + | 6.29500i | −0.315820 | + | 0.376198i | ||||
\(281\) | 16.3695 | 0.976523 | 0.488262 | − | 0.872697i | \(-0.337631\pi\) | ||||
0.488262 | + | 0.872697i | \(0.337631\pi\) | |||||||
\(282\) | 3.00449 | − | 2.28717i | 0.178915 | − | 0.136199i | ||||
\(283\) | 4.99712 | + | 2.88509i | 0.297048 | + | 0.171501i | 0.641116 | − | 0.767444i | \(-0.278472\pi\) |
−0.344068 | + | 0.938945i | \(0.611805\pi\) | |||||||
\(284\) | 5.22939 | + | 3.01919i | 0.310307 | + | 0.179156i | ||||
\(285\) | −5.68473 | − | 7.46763i | −0.336734 | − | 0.442344i | ||||
\(286\) | 16.1195 | + | 3.74673i | 0.953164 | + | 0.221549i | ||||
\(287\) | 16.4464 | − | 5.98156i | 0.970798 | − | 0.353080i | ||||
\(288\) | 8.42005 | − | 2.18705i | 0.496156 | − | 0.128873i | ||||
\(289\) | 5.18945 | + | 8.98839i | 0.305262 | + | 0.528729i | ||||
\(290\) | −8.98184 | − | 5.18567i | −0.527432 | − | 0.304513i | ||||
\(291\) | −4.64512 | + | 11.0938i | −0.272302 | + | 0.650327i | ||||
\(292\) | 5.95992 | − | 3.44096i | 0.348778 | − | 0.201367i | ||||
\(293\) | −16.8703 | −0.985576 | −0.492788 | − | 0.870149i | \(-0.664022\pi\) | ||||
−0.492788 | + | 0.870149i | \(0.664022\pi\) | |||||||
\(294\) | 13.0774 | − | 14.1485i | 0.762689 | − | 0.825158i | ||||
\(295\) | 14.3624 | 0.836212 | ||||||||
\(296\) | −1.29335 | − | 2.24015i | −0.0751747 | − | 0.130206i | ||||
\(297\) | −16.0625 | − | 6.24462i | −0.932042 | − | 0.362350i | ||||
\(298\) | 17.8917 | − | 30.9894i | 1.03644 | − | 1.79517i | ||||
\(299\) | 11.3034 | + | 19.5781i | 0.653694 | + | 1.13223i | ||||
\(300\) | −2.92603 | + | 0.373806i | −0.168934 | + | 0.0215817i | ||||
\(301\) | −5.30339 | − | 14.5817i | −0.305682 | − | 0.840476i | ||||
\(302\) | 26.2607i | 1.51113i | ||||||||
\(303\) | −14.1132 | − | 18.5396i | −0.810785 | − | 1.06507i | ||||
\(304\) | 16.9026 | + | 9.75871i | 0.969429 | + | 0.559700i | ||||
\(305\) | 6.39360 | − | 11.0740i | 0.366096 | − | 0.634097i | ||||
\(306\) | 8.60713 | + | 8.74022i | 0.492037 | + | 0.499645i | ||||
\(307\) | 7.85144i | 0.448105i | 0.974577 | + | 0.224053i | \(0.0719287\pi\) | ||||
−0.974577 | + | 0.224053i | \(0.928071\pi\) | |||||||
\(308\) | 3.68509 | − | 2.76697i | 0.209978 | − | 0.157662i | ||||
\(309\) | 1.41145 | − | 0.180315i | 0.0802946 | − | 0.0102578i | ||||
\(310\) | −1.98136 | + | 1.14394i | −0.112534 | + | 0.0649713i | ||||
\(311\) | 1.14816 | + | 0.662889i | 0.0651061 | + | 0.0375890i | 0.532200 | − | 0.846619i | \(-0.321366\pi\) |
−0.467094 | + | 0.884208i | \(0.654699\pi\) | |||||||
\(312\) | −11.7573 | − | 4.92295i | −0.665625 | − | 0.278707i | ||||
\(313\) | −10.0309 | − | 17.3741i | −0.566982 | − | 0.982041i | −0.996862 | − | 0.0791554i | \(-0.974778\pi\) |
0.429881 | − | 0.902886i | \(-0.358556\pi\) | |||||||
\(314\) | 22.6583 | 1.27868 | ||||||||
\(315\) | 10.4880 | − | 0.834042i | 0.590930 | − | 0.0469930i | ||||
\(316\) | − | 3.58390i | − | 0.201610i | ||||||
\(317\) | 16.0847 | − | 9.28653i | 0.903409 | − | 0.521584i | 0.0251046 | − | 0.999685i | \(-0.492008\pi\) |
0.878305 | + | 0.478101i | \(0.158675\pi\) | |||||||
\(318\) | −6.60687 | − | 2.76639i | −0.370495 | − | 0.155132i | ||||
\(319\) | −11.9267 | − | 11.1550i | −0.667768 | − | 0.624563i | ||||
\(320\) | 5.67202 | − | 3.27474i | 0.317076 | − | 0.183064i | ||||
\(321\) | 28.0854 | − | 3.58797i | 1.56758 | − | 0.200261i | ||||
\(322\) | 29.8079 | + | 5.26324i | 1.66113 | + | 0.293309i | ||||
\(323\) | 10.5186i | 0.585270i | ||||||||
\(324\) | −4.05647 | − | 2.42574i | −0.225359 | − | 0.134764i | ||||
\(325\) | 8.81878 | + | 5.09153i | 0.489178 | + | 0.282427i | ||||
\(326\) | 0.361548 | − | 0.626220i | 0.0200243 | − | 0.0346831i | ||||
\(327\) | 14.3002 | − | 10.8860i | 0.790803 | − | 0.601999i | ||||
\(328\) | −15.5020 | −0.855953 | ||||||||
\(329\) | −2.33381 | + | 2.77999i | −0.128667 | + | 0.153266i | ||||
\(330\) | 12.0381 | + | 1.22385i | 0.662677 | + | 0.0673705i | ||||
\(331\) | −7.25227 | − | 12.5613i | −0.398621 | − | 0.690432i | 0.594935 | − | 0.803774i | \(-0.297178\pi\) |
−0.993556 | + | 0.113342i | \(0.963844\pi\) | |||||||
\(332\) | −3.46259 | + | 5.99738i | −0.190034 | + | 0.329149i | ||||
\(333\) | −0.881502 | + | 3.19166i | −0.0483060 | + | 0.174902i | ||||
\(334\) | −4.58131 | − | 7.93506i | −0.250678 | − | 0.434187i | ||||
\(335\) | − | 12.3944i | − | 0.677178i | ||||||
\(336\) | −19.4485 | + | 10.0237i | −1.06100 | + | 0.546840i | ||||
\(337\) | 19.7532i | 1.07602i | 0.842937 | + | 0.538012i | \(0.180825\pi\) | ||||
−0.842937 | + | 0.538012i | \(0.819175\pi\) | |||||||
\(338\) | 2.49495 | + | 4.32138i | 0.135708 | + | 0.235052i | ||||
\(339\) | −10.8584 | − | 4.54659i | −0.589749 | − | 0.246937i | ||||
\(340\) | −1.55123 | − | 0.895605i | −0.0841274 | − | 0.0485710i | ||||
\(341\) | −3.44657 | + | 1.04812i | −0.186642 | + | 0.0567590i | ||||
\(342\) | −4.89919 | − | 18.8617i | −0.264918 | − | 1.01992i | ||||
\(343\) | −9.27156 | + | 16.0324i | −0.500617 | + | 0.865669i | ||||
\(344\) | 13.7444i | 0.741048i | ||||||||
\(345\) | 10.0120 | + | 13.1521i | 0.539030 | + | 0.708085i | ||||
\(346\) | 13.6145 | − | 23.5810i | 0.731919 | − | 1.26772i | ||||
\(347\) | −16.0231 | + | 27.7529i | −0.860167 | + | 1.48985i | 0.0116012 | + | 0.999933i | \(0.496307\pi\) |
−0.871768 | + | 0.489919i | \(0.837026\pi\) | |||||||
\(348\) | −2.71281 | − | 3.56362i | −0.145422 | − | 0.191030i | ||||
\(349\) | − | 32.8903i | − | 1.76058i | −0.474439 | − | 0.880288i | \(-0.657349\pi\) | ||
0.474439 | − | 0.880288i | \(-0.342651\pi\) | |||||||
\(350\) | 12.8132 | − | 4.66019i | 0.684897 | − | 0.249098i | ||||
\(351\) | 6.07003 | + | 15.1450i | 0.323994 | + | 0.808381i | ||||
\(352\) | −9.20153 | + | 2.79823i | −0.490443 | + | 0.149146i | ||||
\(353\) | −0.813388 | − | 0.469610i | −0.0432923 | − | 0.0249948i | 0.478198 | − | 0.878252i | \(-0.341290\pi\) |
−0.521490 | + | 0.853257i | \(0.674624\pi\) | |||||||
\(354\) | 27.5083 | + | 11.5181i | 1.46205 | + | 0.612182i | ||||
\(355\) | −7.62061 | − | 13.1993i | −0.404460 | − | 0.700545i | ||||
\(356\) | − | 6.73726i | − | 0.357074i | ||||||
\(357\) | −9.91909 | − | 6.37611i | −0.524974 | − | 0.337460i | ||||
\(358\) | − | 0.430049i | − | 0.0227288i | ||||||
\(359\) | 17.1724 | + | 29.7435i | 0.906327 | + | 1.56980i | 0.819126 | + | 0.573613i | \(0.194459\pi\) |
0.0872008 | + | 0.996191i | \(0.472208\pi\) | |||||||
\(360\) | −8.98335 | − | 2.48110i | −0.473464 | − | 0.130766i | ||||
\(361\) | −1.14486 | + | 1.98295i | −0.0602556 | + | 0.104366i | ||||
\(362\) | 8.06374 | + | 13.9668i | 0.423821 | + | 0.734079i | ||||
\(363\) | 18.0264 | + | 6.16837i | 0.946141 | + | 0.323755i | ||||
\(364\) | −4.29644 | − | 0.758631i | −0.225195 | − | 0.0397631i | ||||
\(365\) | −17.3704 | −0.909207 | ||||||||
\(366\) | 21.1266 | − | 16.0826i | 1.10431 | − | 0.840653i | ||||
\(367\) | −3.16598 | + | 5.48364i | −0.165263 | + | 0.286244i | −0.936749 | − | 0.350003i | \(-0.886181\pi\) |
0.771486 | + | 0.636247i | \(0.219514\pi\) | |||||||
\(368\) | −29.7691 | − | 17.1872i | −1.55182 | − | 0.895944i | ||||
\(369\) | 13.9234 | + | 14.1387i | 0.724825 | + | 0.736033i | ||||
\(370\) | − | 2.32484i | − | 0.120862i | ||||||
\(371\) | 6.78034 | + | 1.19722i | 0.352018 | + | 0.0621565i | ||||
\(372\) | −0.980019 | + | 0.125199i | −0.0508116 | + | 0.00649128i | ||||
\(373\) | −2.52777 | + | 1.45941i | −0.130883 | + | 0.0755655i | −0.564012 | − | 0.825767i | \(-0.690743\pi\) |
0.433129 | + | 0.901332i | \(0.357410\pi\) | |||||||
\(374\) | −9.90445 | − | 9.26362i | −0.512147 | − | 0.479011i | ||||
\(375\) | 17.4564 | + | 7.30927i | 0.901447 | + | 0.377449i | ||||
\(376\) | 2.78449 | − | 1.60763i | 0.143599 | − | 0.0829071i | ||||
\(377\) | 15.4609i | 0.796279i | ||||||||
\(378\) | 20.7565 | + | 6.81354i | 1.06760 | + | 0.350450i | ||||
\(379\) | 14.0105 | 0.719673 | 0.359837 | − | 0.933015i | \(-0.382832\pi\) | ||||
0.359837 | + | 0.933015i | \(0.382832\pi\) | |||||||
\(380\) | 1.42280 | + | 2.46436i | 0.0729880 | + | 0.126419i | ||||
\(381\) | −6.95574 | − | 2.91247i | −0.356354 | − | 0.149211i | ||||
\(382\) | −26.5907 | − | 15.3522i | −1.36050 | − | 0.785485i | ||||
\(383\) | −15.9607 | + | 9.21493i | −0.815555 | + | 0.470861i | −0.848881 | − | 0.528584i | \(-0.822723\pi\) |
0.0333263 | + | 0.999445i | \(0.489390\pi\) | |||||||
\(384\) | 23.4541 | − | 2.99631i | 1.19689 | − | 0.152905i | ||||
\(385\) | −11.5472 | + | 1.39761i | −0.588501 | + | 0.0712288i | ||||
\(386\) | 23.8504i | 1.21395i | ||||||||
\(387\) | 12.5357 | − | 12.3448i | 0.637226 | − | 0.627522i | ||||
\(388\) | 1.82330 | − | 3.15804i | 0.0925639 | − | 0.160325i | ||||
\(389\) | 16.0590 | + | 9.27168i | 0.814225 | + | 0.470093i | 0.848421 | − | 0.529322i | \(-0.177554\pi\) |
−0.0341960 | + | 0.999415i | \(0.510887\pi\) | |||||||
\(390\) | −6.93902 | − | 9.11529i | −0.351371 | − | 0.461571i | ||||
\(391\) | − | 18.5255i | − | 0.936875i | ||||||
\(392\) | 12.5723 | − | 10.5392i | 0.634997 | − | 0.532312i | ||||
\(393\) | 5.40683 | − | 0.690733i | 0.272739 | − | 0.0348429i | ||||
\(394\) | −2.46163 | − | 4.26366i | −0.124015 | − | 0.214800i | ||||
\(395\) | −4.52298 | + | 7.83403i | −0.227576 | + | 0.394173i | ||||
\(396\) | 4.59098 | + | 2.49527i | 0.230705 | + | 0.125392i | ||||
\(397\) | 17.8936 | + | 30.9926i | 0.898053 | + | 1.55547i | 0.829980 | + | 0.557793i | \(0.188352\pi\) |
0.0680727 | + | 0.997680i | \(0.478315\pi\) | |||||||
\(398\) | 3.65477 | 0.183197 | ||||||||
\(399\) | 8.58206 | + | 16.6513i | 0.429641 | + | 0.833605i | ||||
\(400\) | −15.4836 | −0.774181 | ||||||||
\(401\) | 27.2301 | − | 15.7213i | 1.35981 | − | 0.785084i | 0.370209 | − | 0.928949i | \(-0.379286\pi\) |
0.989597 | + | 0.143864i | \(0.0459529\pi\) | |||||||
\(402\) | 9.93986 | − | 23.7390i | 0.495755 | − | 1.18399i | ||||
\(403\) | 2.95369 | + | 1.70531i | 0.147134 | + | 0.0849476i | ||||
\(404\) | 3.53232 | + | 6.11816i | 0.175739 | + | 0.304390i | ||||
\(405\) | 5.80567 | + | 10.4218i | 0.288486 | + | 0.517864i | ||||
\(406\) | 15.8548 | + | 13.3102i | 0.786861 | + | 0.660573i | ||||
\(407\) | 0.828762 | − | 3.56557i | 0.0410802 | − | 0.176739i | ||||
\(408\) | 6.32678 | + | 8.31104i | 0.313222 | + | 0.411458i | ||||
\(409\) | 21.5116 | + | 12.4197i | 1.06368 | + | 0.614115i | 0.926448 | − | 0.376424i | \(-0.122846\pi\) |
0.137231 | + | 0.990539i | \(0.456180\pi\) | |||||||
\(410\) | −12.0660 | − | 6.96630i | −0.595896 | − | 0.344041i | ||||
\(411\) | −5.35308 | + | 4.07503i | −0.264048 | + | 0.201007i | ||||
\(412\) | −0.431431 | −0.0212551 | ||||||||
\(413\) | −28.2306 | − | 4.98473i | −1.38914 | − | 0.245282i | ||||
\(414\) | 8.62853 | + | 33.2195i | 0.424069 | + | 1.63265i | ||||
\(415\) | 15.1377 | − | 8.73976i | 0.743081 | − | 0.429018i | ||||
\(416\) | 7.88563 | + | 4.55277i | 0.386625 | + | 0.223218i | ||||
\(417\) | −22.0541 | − | 9.23437i | −1.07999 | − | 0.452209i | ||||
\(418\) | 6.26830 | + | 20.6123i | 0.306593 | + | 1.00818i | ||||
\(419\) | − | 17.0794i | − | 0.834384i | −0.908818 | − | 0.417192i | \(-0.863014\pi\) | ||
0.908818 | − | 0.417192i | \(-0.136986\pi\) | |||||||
\(420\) | −3.18637 | − | 0.152127i | −0.155479 | − | 0.00742306i | ||||
\(421\) | 4.70521 | 0.229318 | 0.114659 | − | 0.993405i | \(-0.463423\pi\) | ||||
0.114659 | + | 0.993405i | \(0.463423\pi\) | |||||||
\(422\) | −5.45278 | + | 3.14816i | −0.265437 | + | 0.153250i | ||||
\(423\) | −3.96721 | − | 1.09570i | −0.192892 | − | 0.0532747i | ||||
\(424\) | −5.28189 | − | 3.04950i | −0.256511 | − | 0.148097i | ||||
\(425\) | −4.17232 | − | 7.22667i | −0.202387 | − | 0.350545i | ||||
\(426\) | −4.01039 | − | 31.3920i | −0.194304 | − | 1.52095i | ||||
\(427\) | −16.4106 | + | 19.5480i | −0.794165 | + | 0.945992i | ||||
\(428\) | −8.58473 | −0.414959 | ||||||||
\(429\) | −7.39283 | − | 16.4536i | −0.356929 | − | 0.794388i | ||||
\(430\) | −6.17647 | + | 10.6980i | −0.297856 | + | 0.515902i | ||||
\(431\) | 5.08960 | − | 8.81545i | 0.245158 | − | 0.424625i | −0.717018 | − | 0.697054i | \(-0.754494\pi\) |
0.962176 | + | 0.272429i | \(0.0878270\pi\) | |||||||
\(432\) | −19.5073 | − | 15.3284i | −0.938547 | − | 0.737486i | ||||
\(433\) | −7.25130 | −0.348475 | −0.174238 | − | 0.984704i | \(-0.555746\pi\) | ||||
−0.174238 | + | 0.984704i | \(0.555746\pi\) | |||||||
\(434\) | 4.29156 | − | 1.56084i | 0.206001 | − | 0.0749229i | ||||
\(435\) | 1.43253 | + | 11.2134i | 0.0686844 | + | 0.537639i | ||||
\(436\) | −4.71915 | + | 2.72460i | −0.226006 | + | 0.130485i | ||||
\(437\) | −14.7152 | + | 25.4875i | −0.703924 | + | 1.21923i | ||||
\(438\) | −33.2694 | − | 13.9304i | −1.58968 | − | 0.665621i | ||||
\(439\) | −17.3367 | + | 10.0093i | −0.827433 | + | 0.477719i | −0.852973 | − | 0.521955i | \(-0.825203\pi\) |
0.0255398 | + | 0.999674i | \(0.491870\pi\) | |||||||
\(440\) | 10.0358 | + | 2.33266i | 0.478436 | + | 0.111205i | ||||
\(441\) | −20.9045 | − | 2.00065i | −0.995452 | − | 0.0952691i | ||||
\(442\) | 12.8394i | 0.610709i | ||||||||
\(443\) | −5.62398 | + | 3.24701i | −0.267203 | + | 0.154270i | −0.627616 | − | 0.778523i | \(-0.715969\pi\) |
0.360413 | + | 0.932793i | \(0.382636\pi\) | |||||||
\(444\) | 0.387748 | − | 0.926043i | 0.0184017 | − | 0.0439480i | ||||
\(445\) | −8.50261 | + | 14.7269i | −0.403062 | + | 0.698124i | ||||
\(446\) | −13.3138 | − | 23.0602i | −0.630427 | − | 1.09193i | ||||
\(447\) | −38.6886 | + | 4.94254i | −1.82991 | + | 0.233774i | ||||
\(448\) | −12.2854 | + | 4.46822i | −0.580431 | + | 0.211104i | ||||
\(449\) | − | 6.09452i | − | 0.287618i | −0.989605 | − | 0.143809i | \(-0.954065\pi\) | ||
0.989605 | − | 0.143809i | \(-0.0459351\pi\) | |||||||
\(450\) | 10.8476 | + | 11.0154i | 0.511363 | + | 0.519270i | ||||
\(451\) | −16.0221 | − | 14.9854i | −0.754449 | − | 0.705636i | ||||
\(452\) | 3.09106 | + | 1.78462i | 0.145391 | + | 0.0839416i | ||||
\(453\) | 22.7752 | − | 17.3376i | 1.07007 | − | 0.814593i | ||||
\(454\) | −22.3580 | −1.04931 | ||||||||
\(455\) | 8.43416 | + | 7.08052i | 0.395400 | + | 0.331940i | ||||
\(456\) | −2.10278 | − | 16.4599i | −0.0984718 | − | 0.770805i | ||||
\(457\) | 34.6751 | − | 20.0197i | 1.62203 | − | 0.936482i | 0.635660 | − | 0.771969i | \(-0.280728\pi\) |
0.986375 | − | 0.164513i | \(-0.0526052\pi\) | |||||||
\(458\) | 1.25337 | − | 2.17091i | 0.0585663 | − | 0.101440i | ||||
\(459\) | 1.89763 | − | 13.2351i | 0.0885740 | − | 0.617763i | ||||
\(460\) | −2.50585 | − | 4.34027i | −0.116836 | − | 0.202366i | ||||
\(461\) | −30.0354 | −1.39889 | −0.699444 | − | 0.714688i | \(-0.746569\pi\) | ||||
−0.699444 | + | 0.714688i | \(0.746569\pi\) | |||||||
\(462\) | −23.2372 | − | 6.58362i | −1.08109 | − | 0.306298i | ||||
\(463\) | −14.3113 | −0.665102 | −0.332551 | − | 0.943085i | \(-0.607909\pi\) | ||||
−0.332551 | + | 0.943085i | \(0.607909\pi\) | |||||||
\(464\) | −11.7544 | − | 20.3592i | −0.545684 | − | 0.945153i | ||||
\(465\) | 2.30023 | + | 0.963139i | 0.106670 | + | 0.0446645i | ||||
\(466\) | 6.27549 | − | 10.8695i | 0.290707 | − | 0.503518i | ||||
\(467\) | −13.2185 | + | 7.63173i | −0.611681 | + | 0.353154i | −0.773623 | − | 0.633646i | \(-0.781558\pi\) |
0.161942 | + | 0.986800i | \(0.448224\pi\) | |||||||
\(468\) | −1.24370 | − | 4.78818i | −0.0574899 | − | 0.221334i | ||||
\(469\) | −4.30169 | + | 24.3623i | −0.198634 | + | 1.12494i | ||||
\(470\) | 2.88975 | 0.133294 | ||||||||
\(471\) | −14.9593 | − | 19.6509i | −0.689286 | − | 0.905466i | ||||
\(472\) | 21.9916 | + | 12.6969i | 1.01225 | + | 0.584421i | ||||
\(473\) | −13.2864 | + | 14.2055i | −0.610909 | + | 0.653170i | ||||
\(474\) | −14.9455 | + | 11.3772i | −0.686468 | + | 0.522574i | ||||
\(475\) | 13.2567i | 0.608258i | ||||||||
\(476\) | 2.73825 | + | 2.29877i | 0.125507 | + | 0.105364i | ||||
\(477\) | 1.96271 | + | 7.55637i | 0.0898665 | + | 0.345982i | ||||
\(478\) | 3.43756 | + | 5.95403i | 0.157230 | + | 0.272331i | ||||
\(479\) | 12.1657 | − | 21.0717i | 0.555866 | − | 0.962789i | −0.441969 | − | 0.897030i | \(-0.645720\pi\) |
0.997836 | − | 0.0657585i | \(-0.0209467\pi\) | |||||||
\(480\) | 6.14105 | + | 2.57135i | 0.280299 | + | 0.117366i | ||||
\(481\) | −3.00140 | + | 1.73286i | −0.136852 | + | 0.0790116i | ||||
\(482\) | − | 4.02589i | − | 0.183374i | ||||||
\(483\) | −15.1149 | − | 29.3265i | −0.687750 | − | 1.33440i | ||||
\(484\) | −5.18456 | − | 2.54779i | −0.235662 | − | 0.115809i | ||||
\(485\) | −7.97108 | + | 4.60211i | −0.361948 | + | 0.208971i | ||||
\(486\) | 2.76167 | + | 24.6168i | 0.125272 | + | 1.11664i | ||||
\(487\) | −20.7423 | + | 35.9267i | −0.939924 | + | 1.62800i | −0.174315 | + | 0.984690i | \(0.555771\pi\) |
−0.765609 | + | 0.643306i | \(0.777562\pi\) | |||||||
\(488\) | 19.5797 | − | 11.3043i | 0.886330 | − | 0.511723i | ||||
\(489\) | −0.781803 | + | 0.0998768i | −0.0353544 | + | 0.00451659i | ||||
\(490\) | 14.5218 | − | 2.55347i | 0.656028 | − | 0.115354i | ||||
\(491\) | −21.0867 | −0.951628 | −0.475814 | − | 0.879546i | \(-0.657847\pi\) | ||||
−0.475814 | + | 0.879546i | \(0.657847\pi\) | |||||||
\(492\) | −3.64432 | − | 4.78728i | −0.164299 | − | 0.215827i | ||||
\(493\) | 6.33484 | − | 10.9723i | 0.285307 | − | 0.494166i | ||||
\(494\) | 10.1986 | − | 17.6645i | 0.458858 | − | 0.794766i | ||||
\(495\) | −6.88630 | − | 11.2483i | −0.309516 | − | 0.505575i | ||||
\(496\) | −5.18595 | −0.232856 | ||||||||
\(497\) | 10.3979 | + | 28.5892i | 0.466411 | + | 1.28240i | ||||
\(498\) | 36.0022 | − | 4.59935i | 1.61330 | − | 0.206102i | ||||
\(499\) | 18.2168 | + | 31.5523i | 0.815494 | + | 1.41248i | 0.908973 | + | 0.416856i | \(0.136868\pi\) |
−0.0934788 | + | 0.995621i | \(0.529799\pi\) | |||||||
\(500\) | −4.96930 | − | 2.86903i | −0.222234 | − | 0.128307i | ||||
\(501\) | −3.85723 | + | 9.21207i | −0.172328 | + | 0.411565i | ||||
\(502\) | 19.2873 | − | 11.1355i | 0.860832 | − | 0.497002i | ||||
\(503\) | −5.26946 | −0.234953 | −0.117477 | − | 0.993076i | \(-0.537481\pi\) | ||||
−0.117477 | + | 0.993076i | \(0.537481\pi\) | |||||||
\(504\) | 16.7964 | + | 7.99465i | 0.748173 | + | 0.356110i | ||||
\(505\) | − | 17.8315i | − | 0.793493i | ||||||
\(506\) | −11.0398 | − | 36.3027i | −0.490781 | − | 1.61385i | ||||
\(507\) | 2.10062 | − | 5.01684i | 0.0932920 | − | 0.222806i | ||||
\(508\) | 1.98008 | + | 1.14320i | 0.0878519 | + | 0.0507213i | ||||
\(509\) | −22.6518 | + | 13.0780i | −1.00402 | + | 0.579673i | −0.909436 | − | 0.415844i | \(-0.863486\pi\) |
−0.0945868 | + | 0.995517i | \(0.530153\pi\) | |||||||
\(510\) | 1.18963 | + | 9.31204i | 0.0526778 | + | 0.412344i | ||||
\(511\) | 34.1430 | + | 6.02869i | 1.51040 | + | 0.266694i | ||||
\(512\) | 8.53423 | 0.377163 | ||||||||
\(513\) | −13.1237 | + | 16.7017i | −0.579427 | + | 0.737396i | ||||
\(514\) | −31.3649 | − | 18.1085i | −1.38345 | − | 0.798734i | ||||
\(515\) | 0.943063 | + | 0.544478i | 0.0415563 | + | 0.0239926i | ||||
\(516\) | −4.24451 | + | 3.23114i | −0.186854 | + | 0.142243i | ||||
\(517\) | 4.43197 | + | 1.03015i | 0.194918 | + | 0.0453057i | ||||
\(518\) | −0.806875 | + | 4.56967i | −0.0354521 | + | 0.200780i | ||||
\(519\) | −29.4396 | + | 3.76097i | −1.29226 | + | 0.165088i | ||||
\(520\) | −4.87736 | − | 8.44784i | −0.213887 | − | 0.370462i | ||||
\(521\) | 15.0810 | + | 8.70702i | 0.660711 | + | 0.381461i | 0.792548 | − | 0.609810i | \(-0.208754\pi\) |
−0.131837 | + | 0.991271i | \(0.542088\pi\) | |||||||
\(522\) | −6.24899 | + | 22.6258i | −0.273511 | + | 0.990302i | ||||
\(523\) | 6.65458 | − | 3.84202i | 0.290984 | − | 0.168000i | −0.347401 | − | 0.937717i | \(-0.612936\pi\) |
0.638386 | + | 0.769717i | \(0.279603\pi\) | |||||||
\(524\) | −1.65268 | −0.0721976 | ||||||||
\(525\) | −12.5011 | − | 8.03587i | −0.545594 | − | 0.350714i | ||||
\(526\) | 22.5955 | 0.985212 | ||||||||
\(527\) | −1.39744 | − | 2.42044i | −0.0608735 | − | 0.105436i | ||||
\(528\) | 22.2441 | + | 16.0459i | 0.968051 | + | 0.698308i | ||||
\(529\) | 14.4167 | − | 24.9704i | 0.626811 | − | 1.08567i | ||||
\(530\) | −2.74078 | − | 4.74716i | −0.119052 | − | 0.206204i | ||||
\(531\) | −8.17194 | − | 31.4617i | −0.354632 | − | 1.36532i | ||||
\(532\) | −1.94133 | − | 5.33772i | −0.0841675 | − | 0.231419i | ||||
\(533\) | 20.7698i | 0.899642i | ||||||||
\(534\) | −28.0955 | + | 21.3877i | −1.21581 | + | 0.925537i | ||||
\(535\) | 18.7653 | + | 10.8342i | 0.811296 | + | 0.468402i | ||||
\(536\) | 10.9571 | − | 18.9782i | 0.473274 | − | 0.819734i | ||||
\(537\) | −0.372970 | + | 0.283924i | −0.0160949 | + | 0.0122522i | ||||
\(538\) | − | 8.45590i | − | 0.364560i | ||||||
\(539\) | 23.1821 | + | 1.26054i | 0.998525 | + | 0.0542954i | ||||
\(540\) | −1.34566 | − | 3.35749i | −0.0579081 | − | 0.144483i | ||||
\(541\) | 4.66526 | − | 2.69349i | 0.200575 | − | 0.115802i | −0.396349 | − | 0.918100i | \(-0.629723\pi\) |
0.596924 | + | 0.802298i | \(0.296389\pi\) | |||||||
\(542\) | 2.98864 | + | 1.72549i | 0.128373 | + | 0.0741163i | ||||
\(543\) | 6.78926 | − | 16.2145i | 0.291355 | − | 0.695832i | ||||
\(544\) | −3.73083 | − | 6.46199i | −0.159958 | − | 0.277056i | ||||
\(545\) | 13.7541 | 0.589161 | ||||||||
\(546\) | 10.4756 | + | 20.3252i | 0.448315 | + | 0.869838i | ||||
\(547\) | − | 23.2952i | − | 0.996031i | −0.867168 | − | 0.498016i | \(-0.834062\pi\) | ||
0.867168 | − | 0.498016i | \(-0.165938\pi\) | |||||||
\(548\) | 1.76655 | − | 1.01992i | 0.0754631 | − | 0.0435686i | ||||
\(549\) | −27.8961 | − | 7.70461i | −1.19058 | − | 0.328825i | ||||
\(550\) | −12.4827 | − | 11.6750i | −0.532263 | − | 0.497825i | ||||
\(551\) | −17.4310 | + | 10.0638i | −0.742586 | + | 0.428732i | ||||
\(552\) | 3.70345 | + | 28.9894i | 0.157629 | + | 1.23387i | ||||
\(553\) | 11.6092 | − | 13.8287i | 0.493675 | − | 0.588055i | ||||
\(554\) | − | 22.0909i | − | 0.938551i | ||||||
\(555\) | −2.01627 | + | 1.53489i | −0.0855859 | + | 0.0651522i | ||||
\(556\) | 6.27810 | + | 3.62467i | 0.266251 | + | 0.153720i | ||||
\(557\) | −6.63904 | + | 11.4991i | −0.281305 | + | 0.487234i | −0.971706 | − | 0.236192i | \(-0.924101\pi\) |
0.690401 | + | 0.723426i | \(0.257434\pi\) | |||||||
\(558\) | 3.63322 | + | 3.68940i | 0.153806 | + | 0.156185i | ||||
\(559\) | 18.4150 | 0.778872 | ||||||||
\(560\) | −16.4893 | − | 2.91155i | −0.696801 | − | 0.123036i | ||||
\(561\) | −1.49506 | + | 14.7058i | −0.0631214 | + | 0.620880i | ||||
\(562\) | 13.0062 | + | 22.5274i | 0.548633 | + | 0.950261i | ||||
\(563\) | 8.38300 | − | 14.5198i | 0.353301 | − | 0.611936i | −0.633524 | − | 0.773723i | \(-0.718392\pi\) |
0.986826 | + | 0.161787i | \(0.0517257\pi\) | |||||||
\(564\) | 1.15106 | + | 0.481968i | 0.0484685 | + | 0.0202945i | ||||
\(565\) | −4.50449 | − | 7.80200i | −0.189505 | − | 0.328233i | ||||
\(566\) | 9.16925i | 0.385412i | ||||||||
\(567\) | −7.79447 | − | 22.4999i | −0.327337 | − | 0.944908i | ||||
\(568\) | − | 26.9475i | − | 1.13069i | ||||||
\(569\) | 8.41899 | + | 14.5821i | 0.352942 | + | 0.611314i | 0.986764 | − | 0.162166i | \(-0.0518478\pi\) |
−0.633821 | + | 0.773480i | \(0.718515\pi\) | |||||||
\(570\) | 5.76006 | − | 13.7565i | 0.241262 | − | 0.576197i | ||||
\(571\) | −22.1425 | − | 12.7840i | −0.926636 | − | 0.534993i | −0.0408897 | − | 0.999164i | \(-0.513019\pi\) |
−0.885746 | + | 0.464170i | \(0.846353\pi\) | |||||||
\(572\) | 1.59126 | + | 5.23258i | 0.0665338 | + | 0.218785i | ||||
\(573\) | 4.24100 | + | 33.1971i | 0.177170 | + | 1.38683i | ||||
\(574\) | 21.2990 | + | 17.8806i | 0.889001 | + | 0.746321i | ||||
\(575\) | − | 23.3479i | − | 0.973673i | ||||||
\(576\) | −10.4008 | − | 10.5616i | −0.433366 | − | 0.440067i | ||||
\(577\) | −13.4053 | + | 23.2186i | −0.558069 | + | 0.966604i | 0.439588 | + | 0.898199i | \(0.355124\pi\) |
−0.997658 | + | 0.0684049i | \(0.978209\pi\) | |||||||
\(578\) | −8.24642 | + | 14.2832i | −0.343006 | + | 0.594104i | ||||
\(579\) | 20.6848 | − | 15.7463i | 0.859632 | − | 0.654395i | ||||
\(580\) | − | 3.42753i | − | 0.142320i | ||||||
\(581\) | −32.7878 | + | 11.9250i | −1.36027 | + | 0.494730i | ||||
\(582\) | −18.9577 | + | 2.42188i | −0.785823 | + | 0.100390i | ||||
\(583\) | −2.51121 | − | 8.25769i | −0.104004 | − | 0.341999i | ||||
\(584\) | −26.5974 | − | 15.3560i | −1.10061 | − | 0.635436i | ||||
\(585\) | −3.32423 | + | 12.0361i | −0.137440 | + | 0.497630i | ||||
\(586\) | −13.4041 | − | 23.2166i | −0.553719 | − | 0.959069i | ||||
\(587\) | − | 25.9901i | − | 1.07272i | −0.843988 | − | 0.536362i | \(-0.819798\pi\) | ||
0.843988 | − | 0.536362i | \(-0.180202\pi\) | |||||||
\(588\) | 6.21029 | + | 1.40491i | 0.256108 | + | 0.0579373i | ||||
\(589\) | 4.44007i | 0.182950i | ||||||||
\(590\) | 11.4115 | + | 19.7653i | 0.469803 | + | 0.813723i | ||||
\(591\) | −2.07257 | + | 4.94983i | −0.0852540 | + | 0.203609i | ||||
\(592\) | 2.63486 | − | 4.56372i | 0.108292 | − | 0.187568i | ||||
\(593\) | 14.0342 | + | 24.3080i | 0.576318 | + | 0.998211i | 0.995897 | + | 0.0904927i | \(0.0288442\pi\) |
−0.419580 | + | 0.907719i | \(0.637822\pi\) | |||||||
\(594\) | −4.16856 | − | 27.0665i | −0.171038 | − | 1.11055i | ||||
\(595\) | −3.08441 | − | 8.48062i | −0.126449 | − | 0.347672i | ||||
\(596\) | 11.8258 | 0.484402 | ||||||||
\(597\) | −2.41293 | − | 3.16969i | −0.0987545 | − | 0.129727i | ||||
\(598\) | −17.9620 | + | 31.1111i | −0.734520 | + | 1.27223i | ||||
\(599\) | 36.2569 | + | 20.9329i | 1.48142 | + | 0.855296i | 0.999778 | − | 0.0210750i | \(-0.00670887\pi\) |
0.481637 | + | 0.876371i | \(0.340042\pi\) | |||||||
\(600\) | 7.97370 | + | 10.4745i | 0.325525 | + | 0.427619i | ||||
\(601\) | 43.3874i | 1.76981i | 0.465774 | + | 0.884904i | \(0.345776\pi\) | ||||
−0.465774 | + | 0.884904i | \(0.654224\pi\) | |||||||
\(602\) | 15.8533 | − | 18.8841i | 0.646133 | − | 0.769660i | ||||
\(603\) | −27.1506 | + | 7.05218i | −1.10566 | + | 0.287187i | ||||
\(604\) | −7.51595 | + | 4.33933i | −0.305819 | + | 0.176565i | ||||
\(605\) | 8.11752 | + | 12.1123i | 0.330024 | + | 0.492434i | ||||
\(606\) | 14.3003 | − | 34.1527i | 0.580908 | − | 1.38736i | ||||
\(607\) | −40.4053 | + | 23.3280i | −1.64000 | + | 0.946856i | −0.659172 | + | 0.751992i | \(0.729093\pi\) |
−0.980830 | + | 0.194864i | \(0.937574\pi\) | |||||||
\(608\) | 11.8539i | 0.480740i | ||||||||
\(609\) | 1.07603 | − | 22.5380i | 0.0436031 | − | 0.913286i | ||||
\(610\) | 20.3198 | 0.822725 | ||||||||
\(611\) | −2.15393 | − | 3.73072i | −0.0871387 | − | 0.150929i | ||||
\(612\) | −1.07925 | + | 3.90764i | −0.0436261 | + | 0.157957i | ||||
\(613\) | 0.522603 | + | 0.301725i | 0.0211077 | + | 0.0121866i | 0.510517 | − | 0.859868i | \(-0.329454\pi\) |
−0.489409 | + | 0.872054i | \(0.662787\pi\) | |||||||
\(614\) | −10.8050 | + | 6.23826i | −0.436054 | + | 0.251756i | ||||
\(615\) | 1.92442 | + | 15.0637i | 0.0776002 | + | 0.607429i | ||||
\(616\) | −18.9166 | − | 8.06814i | −0.762170 | − | 0.325074i | ||||
\(617\) | − | 35.7542i | − | 1.43941i | −0.694280 | − | 0.719705i | \(-0.744277\pi\) | ||
0.694280 | − | 0.719705i | \(-0.255723\pi\) | |||||||
\(618\) | 1.36960 | + | 1.79914i | 0.0550932 | + | 0.0723720i | ||||
\(619\) | 20.6300 | − | 35.7323i | 0.829192 | − | 1.43620i | −0.0694815 | − | 0.997583i | \(-0.522134\pi\) |
0.898673 | − | 0.438619i | \(-0.144532\pi\) | |||||||
\(620\) | −0.654802 | − | 0.378050i | −0.0262975 | − | 0.0151829i | ||||
\(621\) | 23.1137 | − | 29.4152i | 0.927522 | − | 1.18039i | ||||
\(622\) | 2.10676i | 0.0844735i | ||||||||
\(623\) | 21.8239 | − | 25.9961i | 0.874354 | − | 1.04151i | ||||
\(624\) | −3.29063 | − | 25.7579i | −0.131730 | − | 1.03114i | ||||
\(625\) | −0.865828 | − | 1.49966i | −0.0346331 | − | 0.0599864i | ||||
\(626\) | 15.9399 | − | 27.6087i | 0.637087 | − | 1.10347i | ||||
\(627\) | 13.7381 | − | 19.0448i | 0.548646 | − | 0.760577i | ||||
\(628\) | 3.74406 | + | 6.48491i | 0.149404 | + | 0.258776i | ||||
\(629\) | 2.84003 | 0.113239 | ||||||||
\(630\) | 9.48088 | + | 13.7706i | 0.377727 | + | 0.548636i | ||||
\(631\) | −13.4812 | −0.536678 | −0.268339 | − | 0.963325i | \(-0.586475\pi\) | ||||
−0.268339 | + | 0.963325i | \(0.586475\pi\) | |||||||
\(632\) | −13.8511 | + | 7.99694i | −0.550968 | + | 0.318101i | ||||
\(633\) | 6.33031 | + | 2.65060i | 0.251607 | + | 0.105352i | ||||
\(634\) | 25.5599 | + | 14.7570i | 1.01511 | + | 0.586075i | ||||
\(635\) | −2.88550 | − | 4.99784i | −0.114508 | − | 0.198333i | ||||
\(636\) | −0.299967 | − | 2.34804i | −0.0118944 | − | 0.0931058i | ||||
\(637\) | −14.1207 | − | 16.8446i | −0.559481 | − | 0.667407i | ||||
\(638\) | 5.87512 | − | 25.2764i | 0.232598 | − | 1.00070i | ||||
\(639\) | −24.5778 | + | 24.2035i | −0.972281 | + | 0.957475i | ||||
\(640\) | 15.6709 | + | 9.04761i | 0.619448 | + | 0.357638i | ||||
\(641\) | −0.407505 | − | 0.235273i | −0.0160955 | − | 0.00929273i | 0.491931 | − | 0.870634i | \(-0.336291\pi\) |
−0.508026 | + | 0.861342i | \(0.669625\pi\) | |||||||
\(642\) | 27.2526 | + | 35.7998i | 1.07557 | + | 1.41291i | ||||
\(643\) | −18.9682 | −0.748033 | −0.374016 | − | 0.927422i | \(-0.622020\pi\) | ||||
−0.374016 | + | 0.927422i | \(0.622020\pi\) | |||||||
\(644\) | 3.41911 | + | 9.40087i | 0.134732 | + | 0.370446i | ||||
\(645\) | 13.3559 | − | 1.70624i | 0.525886 | − | 0.0671829i | ||||
\(646\) | −14.4755 | + | 8.35741i | −0.569529 | + | 0.328818i | ||||
\(647\) | 5.41934 | + | 3.12886i | 0.213056 | + | 0.123008i | 0.602731 | − | 0.797945i | \(-0.294079\pi\) |
−0.389675 | + | 0.920953i | \(0.627413\pi\) | |||||||
\(648\) | −0.323640 | + | 21.0902i | −0.0127138 | + | 0.828502i | ||||
\(649\) | 10.4557 | + | 34.3817i | 0.410420 | + | 1.34960i | ||||
\(650\) | 16.1816i | 0.634696i | ||||||||
\(651\) | −4.18702 | − | 2.69147i | −0.164102 | − | 0.105487i | ||||
\(652\) | 0.238970 | 0.00935878 | ||||||||
\(653\) | 30.2664 | − | 17.4743i | 1.18442 | − | 0.683824i | 0.227385 | − | 0.973805i | \(-0.426982\pi\) |
0.957032 | + | 0.289981i | \(0.0936490\pi\) | |||||||
\(654\) | 26.3432 | + | 11.0303i | 1.03010 | + | 0.431318i | ||||
\(655\) | 3.61259 | + | 2.08573i | 0.141155 | + | 0.0814961i | ||||
\(656\) | −15.7906 | − | 27.3501i | −0.616518 | − | 1.06784i | ||||
\(657\) | 9.88341 | + | 38.0507i | 0.385589 | + | 1.48450i | ||||
\(658\) | −5.68006 | − | 1.00294i | −0.221432 | − | 0.0390987i | ||||
\(659\) | 39.7961 | 1.55024 | 0.775119 | − | 0.631815i | \(-0.217690\pi\) | ||||
0.775119 | + | 0.631815i | \(0.217690\pi\) | |||||||
\(660\) | 1.63891 | + | 3.64760i | 0.0637947 | + | 0.141983i | ||||
\(661\) | −8.50887 | + | 14.7378i | −0.330957 | + | 0.573234i | −0.982700 | − | 0.185206i | \(-0.940705\pi\) |
0.651743 | + | 0.758440i | \(0.274038\pi\) | |||||||
\(662\) | 11.5244 | − | 19.9609i | 0.447909 | − | 0.775801i | ||||
\(663\) | 11.1353 | − | 8.47674i | 0.432459 | − | 0.329209i | ||||
\(664\) | 30.9050 | 1.19935 | ||||||||
\(665\) | −2.49279 | + | 14.1177i | −0.0966664 | + | 0.547461i | ||||
\(666\) | −5.09268 | + | 1.32279i | −0.197337 | + | 0.0512570i | ||||
\(667\) | 30.6998 | − | 17.7245i | 1.18870 | − | 0.686296i | ||||
\(668\) | 1.51404 | − | 2.62239i | 0.0585798 | − | 0.101463i | ||||
\(669\) | −11.2096 | + | 26.7713i | −0.433387 | + | 1.03504i | ||||
\(670\) | 17.0569 | − | 9.84781i | 0.658966 | − | 0.380454i | ||||
\(671\) | 31.1642 | + | 7.24365i | 1.20308 | + | 0.279638i | ||||
\(672\) | −11.1783 | − | 7.18557i | −0.431214 | − | 0.277189i | ||||
\(673\) | − | 2.08851i | − | 0.0805062i | −0.999190 | − | 0.0402531i | \(-0.987184\pi\) | ||
0.999190 | − | 0.0402531i | \(-0.0128164\pi\) | |||||||
\(674\) | −27.1839 | + | 15.6946i | −1.04709 | + | 0.604535i | ||||
\(675\) | 2.39160 | − | 16.6804i | 0.0920529 | − | 0.642028i | ||||
\(676\) | −0.824535 | + | 1.42814i | −0.0317129 | + | 0.0549283i | ||||
\(677\) | 7.82854 | + | 13.5594i | 0.300875 | + | 0.521131i | 0.976334 | − | 0.216266i | \(-0.0693878\pi\) |
−0.675459 | + | 0.737397i | \(0.736055\pi\) | |||||||
\(678\) | −2.37051 | − | 18.5556i | −0.0910390 | − | 0.712623i | ||||
\(679\) | 17.2651 | − | 6.27933i | 0.662573 | − | 0.240979i | ||||
\(680\) | 7.99365i | 0.306542i | ||||||||
\(681\) | 14.7610 | + | 19.3905i | 0.565643 | + | 0.743044i | ||||
\(682\) | −4.18084 | − | 3.91033i | −0.160093 | − | 0.149734i | ||||
\(683\) | −31.8622 | − | 18.3957i | −1.21918 | − | 0.703891i | −0.254434 | − | 0.967090i | \(-0.581889\pi\) |
−0.964742 | + | 0.263199i | \(0.915222\pi\) | |||||||
\(684\) | 4.58877 | − | 4.51889i | 0.175456 | − | 0.172784i | ||||
\(685\) | −5.14865 | −0.196720 | ||||||||
\(686\) | −29.4301 | − | 0.0209789i | −1.12365 | − | 0.000800978i | ||||
\(687\) | −2.71026 | + | 0.346241i | −0.103403 | + | 0.0132099i | ||||
\(688\) | −24.2492 | + | 14.0003i | −0.924491 | + | 0.533755i | ||||
\(689\) | −4.08578 | + | 7.07677i | −0.155656 | + | 0.269604i | ||||
\(690\) | −10.1447 | + | 24.2282i | −0.386203 | + | 0.922352i | ||||
\(691\) | −8.51734 | − | 14.7525i | −0.324015 | − | 0.561210i | 0.657298 | − | 0.753631i | \(-0.271699\pi\) |
−0.981312 | + | 0.192421i | \(0.938366\pi\) | |||||||
\(692\) | 8.99866 | 0.342078 | ||||||||
\(693\) | 9.63169 | + | 24.4996i | 0.365878 | + | 0.930663i | ||||
\(694\) | −50.9239 | −1.93304 | ||||||||
\(695\) | −9.14886 | − | 15.8463i | −0.347036 | − | 0.601084i | ||||
\(696\) | −7.71952 | + | 18.4362i | −0.292608 | + | 0.698823i | ||||
\(697\) | 8.51006 | − | 14.7399i | 0.322342 | − | 0.558312i | ||||
\(698\) | 45.2629 | − | 26.1326i | 1.71323 | − | 0.989132i | ||||
\(699\) | −13.5700 | + | 1.73359i | −0.513263 | + | 0.0655703i | ||||
\(700\) | 3.45104 | + | 2.89716i | 0.130437 | + | 0.109502i | ||||
\(701\) | −17.4229 | −0.658055 | −0.329028 | − | 0.944320i | \(-0.606721\pi\) | ||||
−0.329028 | + | 0.944320i | \(0.606721\pi\) | |||||||
\(702\) | −16.0194 | + | 20.3867i | −0.604612 | + | 0.769447i | ||||
\(703\) | −3.90733 | − | 2.25590i | −0.147368 | − | 0.0850829i | ||||
\(704\) | 11.9685 | + | 11.1941i | 0.451078 | + | 0.421893i | ||||
\(705\) | −1.90785 | − | 2.50621i | −0.0718538 | − | 0.0943892i | ||||
\(706\) | − | 1.49249i | − | 0.0561706i | ||||||
\(707\) | −6.18875 | + | 35.0494i | −0.232752 | + | 1.31817i | ||||
\(708\) | 1.24894 | + | 9.77628i | 0.0469380 | + | 0.367415i | ||||
\(709\) | −10.6370 | − | 18.4239i | −0.399482 | − | 0.691923i | 0.594180 | − | 0.804332i | \(-0.297477\pi\) |
−0.993662 | + | 0.112409i | \(0.964143\pi\) | |||||||
\(710\) | 12.1097 | − | 20.9746i | 0.454470 | − | 0.787164i | ||||
\(711\) | 19.7344 | + | 5.45042i | 0.740096 | + | 0.204407i | ||||
\(712\) | −26.0383 | + | 15.0332i | −0.975825 | + | 0.563393i | ||||
\(713\) | − | 7.81993i | − | 0.292859i | ||||||
\(714\) | 0.893585 | − | 18.7165i | 0.0334416 | − | 0.700448i | ||||
\(715\) | 3.12534 | − | 13.4461i | 0.116881 | − | 0.502856i | ||||
\(716\) | 0.123082 | − | 0.0710616i | 0.00459980 | − | 0.00265570i | ||||
\(717\) | 2.89425 | − | 6.91223i | 0.108088 | − | 0.258142i | ||||
\(718\) | −27.2883 | + | 47.2647i | −1.01839 | + | 1.76390i | ||||
\(719\) | 29.6112 | − | 17.0960i | 1.10431 | − | 0.637574i | 0.166961 | − | 0.985964i | \(-0.446605\pi\) |
0.937350 | + | 0.348389i | \(0.113271\pi\) | |||||||
\(720\) | −4.77319 | − | 18.3766i | −0.177886 | − | 0.684854i | ||||
\(721\) | −1.66470 | − | 1.39753i | −0.0619967 | − | 0.0520466i | ||||
\(722\) | −3.63852 | −0.135412 | ||||||||
\(723\) | −3.49155 | + | 2.65794i | −0.129852 | + | 0.0988500i | ||||
\(724\) | −2.66491 | + | 4.61577i | −0.0990407 | + | 0.171544i | ||||
\(725\) | 7.98385 | − | 13.8284i | 0.296513 | − | 0.513575i | ||||
\(726\) | 5.83387 | + | 29.7086i | 0.216515 | + | 1.10259i | ||||
\(727\) | 34.0312 | 1.26215 | 0.631074 | − | 0.775723i | \(-0.282614\pi\) | ||||
0.631074 | + | 0.775723i | \(0.282614\pi\) | |||||||
\(728\) | 6.65491 | + | 18.2977i | 0.246647 | + | 0.678159i | ||||
\(729\) | 19.5262 | − | 18.6474i | 0.723193 | − | 0.690646i | ||||
\(730\) | −13.8014 | − | 23.9047i | −0.510813 | − | 0.884754i | ||||
\(731\) | −13.0687 | − | 7.54521i | −0.483363 | − | 0.279070i | ||||
\(732\) | 8.09391 | + | 3.38904i | 0.299160 | + | 0.125263i | ||||
\(733\) | −35.9717 | + | 20.7682i | −1.32864 | + | 0.767093i | −0.985090 | − | 0.172041i | \(-0.944964\pi\) |
−0.343553 | + | 0.939133i | \(0.611631\pi\) | |||||||
\(734\) | −10.0620 | −0.371394 | ||||||||
\(735\) | −11.8020 | − | 10.9085i | −0.435324 | − | 0.402368i | ||||
\(736\) | − | 20.8773i | − | 0.769548i | ||||||
\(737\) | 29.6705 | − | 9.02296i | 1.09293 | − | 0.332365i | ||||
\(738\) | −8.39474 | + | 30.3949i | −0.309015 | + | 1.11885i | ||||
\(739\) | 39.8937 | + | 23.0327i | 1.46751 | + | 0.847270i | 0.999339 | − | 0.0363653i | \(-0.0115780\pi\) |
0.468176 | + | 0.883635i | \(0.344911\pi\) | |||||||
\(740\) | 0.665380 | − | 0.384157i | 0.0244598 | − | 0.0141219i | ||||
\(741\) | −22.0533 | + | 2.81735i | −0.810147 | + | 0.103498i | ||||
\(742\) | 3.73965 | + | 10.2822i | 0.137287 | + | 0.377471i | ||||
\(743\) | 20.7690 | 0.761941 | 0.380971 | − | 0.924587i | \(-0.375590\pi\) | ||||
0.380971 | + | 0.924587i | \(0.375590\pi\) | |||||||
\(744\) | 2.67064 | + | 3.50823i | 0.0979105 | + | 0.128618i | ||||
\(745\) | −25.8499 | − | 14.9244i | −0.947066 | − | 0.546789i | ||||
\(746\) | −4.01682 | − | 2.31911i | −0.147066 | − | 0.0849088i | ||||
\(747\) | −27.7580 | − | 28.1872i | −1.01561 | − | 1.03132i | ||||
\(748\) | 1.01468 | − | 4.36543i | 0.0371003 | − | 0.159616i | ||||
\(749\) | −33.1247 | − | 27.8083i | −1.21035 | − | 1.01609i | ||||
\(750\) | 3.81093 | + | 29.8307i | 0.139155 | + | 1.08926i | ||||
\(751\) | −8.75434 | − | 15.1630i | −0.319451 | − | 0.553305i | 0.660923 | − | 0.750454i | \(-0.270165\pi\) |
−0.980373 | + | 0.197149i | \(0.936832\pi\) | |||||||
\(752\) | 5.67267 | + | 3.27511i | 0.206861 | + | 0.119431i | ||||
\(753\) | −22.3912 | − | 9.37553i | −0.815981 | − | 0.341663i | ||||
\(754\) | −21.2770 | + | 12.2843i | −0.774863 | + | 0.447368i | ||||
\(755\) | 21.9054 | 0.797221 | ||||||||
\(756\) | 1.47974 | + | 7.06648i | 0.0538177 | + | 0.257005i | ||||
\(757\) | 1.88644 | 0.0685639 | 0.0342820 | − | 0.999412i | \(-0.489086\pi\) | ||||
0.0342820 | + | 0.999412i | \(0.489086\pi\) | |||||||
\(758\) | 11.1319 | + | 19.2810i | 0.404329 | + | 0.700318i | ||||
\(759\) | −24.1957 | + | 33.5420i | −0.878249 | + | 1.21750i | ||||
\(760\) | 6.34953 | − | 10.9977i | 0.230322 | − | 0.398929i | ||||
\(761\) | 10.7788 | + | 18.6694i | 0.390731 | + | 0.676765i | 0.992546 | − | 0.121870i | \(-0.0388891\pi\) |
−0.601816 | + | 0.798635i | \(0.705556\pi\) | |||||||
\(762\) | −1.51851 | − | 11.8864i | −0.0550099 | − | 0.430600i | ||||
\(763\) | −27.0349 | − | 4.77360i | −0.978728 | − | 0.172816i | ||||
\(764\) | − | 10.1472i | − | 0.367113i | ||||||
\(765\) | 7.29068 | − | 7.17966i | 0.263595 | − | 0.259581i | ||||
\(766\) | −25.3628 | − | 14.6432i | −0.916395 | − | 0.529081i | ||||
\(767\) | 17.0115 | − | 29.4648i | 0.614250 | − | 1.06391i | ||||
\(768\) | 12.3911 | + | 16.2773i | 0.447125 | + | 0.587357i | ||||
\(769\) | − | 46.5746i | − | 1.67952i | −0.542955 | − | 0.839762i | \(-0.682695\pi\) | ||
0.542955 | − | 0.839762i | \(-0.317305\pi\) | |||||||
\(770\) | −11.0981 | − | 14.7806i | −0.399946 | − | 0.532656i | ||||
\(771\) | 5.00244 | + | 39.1575i | 0.180158 | + | 1.41022i | ||||
\(772\) | −6.82611 | + | 3.94105i | −0.245677 | + | 0.141842i | ||||
\(773\) | 11.2801 | + | 6.51257i | 0.405717 | + | 0.234241i | 0.688948 | − | 0.724811i | \(-0.258073\pi\) |
−0.283231 | + | 0.959052i | \(0.591406\pi\) | |||||||
\(774\) | 26.9488 | + | 7.44296i | 0.968654 | + | 0.267532i | ||||
\(775\) | −1.76121 | − | 3.05050i | −0.0632644 | − | 0.109577i | ||||
\(776\) | −16.2737 | −0.584191 | ||||||||
\(777\) | 4.49586 | − | 2.31717i | 0.161288 | − | 0.0831279i | ||||
\(778\) | 29.4668i | 1.05644i | ||||||||
\(779\) | −23.4164 | + | 13.5195i | −0.838980 | + | 0.484385i | ||||
\(780\) | 1.46224 | − | 3.49220i | 0.0523564 | − | 0.125041i | ||||
\(781\) | 26.0496 | − | 27.8516i | 0.932127 | − | 0.996609i | ||||
\(782\) | 25.4944 | − | 14.7192i | 0.911678 | − | 0.526358i | ||||
\(783\) | 23.7484 | − | 9.51821i | 0.848698 | − | 0.340153i | ||||
\(784\) | 31.4007 | + | 11.4458i | 1.12145 | + | 0.408779i | ||||
\(785\) | − | 18.9004i | − | 0.674586i | ||||||
\(786\) | 5.24650 | + | 6.89196i | 0.187137 | + | 0.245828i | ||||
\(787\) | 35.6226 | + | 20.5667i | 1.26981 | + | 0.733124i | 0.974952 | − | 0.222417i | \(-0.0713946\pi\) |
0.294857 | + | 0.955541i | \(0.404728\pi\) | |||||||
\(788\) | 0.813522 | − | 1.40906i | 0.0289805 | − | 0.0501957i | ||||
\(789\) | −14.9178 | − | 19.5965i | −0.531089 | − | 0.697654i | ||||
\(790\) | −14.3747 | −0.511429 | ||||||||
\(791\) | 6.14614 | + | 16.8989i | 0.218532 | + | 0.600855i | ||||
\(792\) | −0.600334 | − | 23.3111i | −0.0213320 | − | 0.828325i | ||||
\(793\) | −15.1458 | − | 26.2332i | −0.537841 | − | 0.931569i | ||||
\(794\) | −28.4342 | + | 49.2495i | −1.00909 | + | 1.74780i | ||||
\(795\) | −2.30760 | + | 5.51114i | −0.0818420 | + | 0.195460i | ||||
\(796\) | 0.603917 | + | 1.04601i | 0.0214053 | + | 0.0370750i | ||||
\(797\) | 28.1530i | 0.997232i | 0.866823 | + | 0.498616i | \(0.166158\pi\) | ||||
−0.866823 | + | 0.498616i | \(0.833842\pi\) | |||||||
\(798\) | −16.0963 | + | 25.0405i | −0.569804 | + | 0.886424i | ||||
\(799\) | 3.53014i | 0.124887i | ||||||||
\(800\) | −4.70200 | − | 8.14410i | −0.166241 | − | 0.287938i | ||||
\(801\) | 37.0980 | + | 10.2461i | 1.31079 | + | 0.362027i | ||||
\(802\) | 43.2707 | + | 24.9823i | 1.52794 | + | 0.882157i | ||||
\(803\) | −12.6454 | − | 41.5823i | −0.446247 | − | 1.46741i | ||||
\(804\) | 8.43668 | − | 1.07780i | 0.297539 | − | 0.0380112i | ||||
\(805\) | 4.39035 | − | 24.8643i | 0.154739 | − | 0.876353i | ||||
\(806\) | 5.41974i | 0.190902i | ||||||||
\(807\) | −7.33358 | + | 5.58269i | −0.258154 | + | 0.196520i | ||||
\(808\) | 15.7637 | − | 27.3035i | 0.554565 | − | 0.960535i | ||||
\(809\) | −12.3189 | + | 21.3369i | −0.433108 | + | 0.750166i | −0.997139 | − | 0.0755880i | \(-0.975917\pi\) |
0.564031 | + | 0.825754i | \(0.309250\pi\) | |||||||
\(810\) | −9.72945 | + | 16.2702i | −0.341858 | + | 0.571675i | ||||
\(811\) | 15.2093i | 0.534072i | 0.963687 | + | 0.267036i | \(0.0860442\pi\) | ||||
−0.963687 | + | 0.267036i | \(0.913956\pi\) | |||||||
\(812\) | −1.18958 | + | 6.73711i | −0.0417462 | + | 0.236426i | ||||
\(813\) | −0.476663 | − | 3.73116i | −0.0167173 | − | 0.130858i | ||||
\(814\) | 5.56534 | − | 1.69245i | 0.195065 | − | 0.0593204i | ||||
\(815\) | −0.522363 | − | 0.301587i | −0.0182976 | − | 0.0105641i | ||||
\(816\) | −8.21857 | + | 19.6281i | −0.287707 | + | 0.687120i | ||||
\(817\) | 11.9867 | + | 20.7615i | 0.419360 | + | 0.726353i | ||||
\(818\) | 39.4717i | 1.38010i | ||||||||
\(819\) | 10.7114 | − | 22.5042i | 0.374286 | − | 0.786360i | ||||
\(820\) | − | 4.60446i | − | 0.160795i | ||||||
\(821\) | −1.77618 | − | 3.07644i | −0.0619892 | − | 0.107368i | 0.833365 | − | 0.552723i | \(-0.186411\pi\) |
−0.895354 | + | 0.445354i | \(0.853078\pi\) | |||||||
\(822\) | −9.86120 | − | 4.12903i | −0.343949 | − | 0.144017i | ||||
\(823\) | 4.84226 | − | 8.38705i | 0.168791 | − | 0.292354i | −0.769204 | − | 0.639003i | \(-0.779347\pi\) |
0.937995 | + | 0.346649i | \(0.112680\pi\) | |||||||
\(824\) | 0.962675 | + | 1.66740i | 0.0335364 | + | 0.0580867i | ||||
\(825\) | −1.88423 | + | 18.5339i | −0.0656006 | + | 0.645267i | ||||
\(826\) | −15.5704 | − | 42.8109i | −0.541762 | − | 1.48958i | ||||
\(827\) | −11.0174 | −0.383114 | −0.191557 | − | 0.981482i | \(-0.561354\pi\) | ||||
−0.191557 | + | 0.981482i | \(0.561354\pi\) | |||||||
\(828\) | −8.08181 | + | 7.95874i | −0.280862 | + | 0.276585i | ||||
\(829\) | 4.71527 | − | 8.16709i | 0.163768 | − | 0.283655i | −0.772449 | − | 0.635077i | \(-0.780968\pi\) |
0.936217 | + | 0.351422i | \(0.114302\pi\) | |||||||
\(830\) | 24.0550 | + | 13.8881i | 0.834960 | + | 0.482064i | ||||
\(831\) | −19.1588 | + | 14.5847i | −0.664612 | + | 0.505936i | ||||
\(832\) | − | 15.5150i | − | 0.537887i | ||||||
\(833\) | 3.11933 | + | 17.7399i | 0.108078 | + | 0.614651i | ||||
\(834\) | −4.81464 | − | 37.6874i | −0.166717 | − | 1.30501i | ||||
\(835\) | −6.61906 | + | 3.82151i | −0.229062 | + | 0.132249i | ||||
\(836\) | −4.86356 | + | 5.20000i | −0.168210 | + | 0.179846i | ||||
\(837\) | 0.801023 | − | 5.58678i | 0.0276874 | − | 0.193107i | ||||
\(838\) | 23.5043 | − | 13.5702i | 0.811943 | − | 0.468776i | ||||
\(839\) | 13.8950i | 0.479708i | 0.970809 | + | 0.239854i | \(0.0770996\pi\) | ||||
−0.970809 | + | 0.239854i | \(0.922900\pi\) | |||||||
\(840\) | 6.52198 | + | 12.6542i | 0.225030 | + | 0.436611i | ||||
\(841\) | −4.75622 | −0.164008 | ||||||||
\(842\) | 3.73846 | + | 6.47521i | 0.128836 | + | 0.223150i | ||||
\(843\) | 10.9506 | − | 26.1528i | 0.377157 | − | 0.900750i | ||||
\(844\) | −1.80204 | − | 1.04041i | −0.0620288 | − | 0.0358123i | ||||
\(845\) | 3.60470 | − | 2.08117i | 0.124005 | − | 0.0715945i | ||||
\(846\) | −1.64421 | − | 6.33016i | −0.0565293 | − | 0.217635i | ||||
\(847\) | −11.7519 | − | 26.6250i | −0.403801 | − | 0.914847i | ||||
\(848\) | − | 12.4251i | − | 0.426679i | ||||||
\(849\) | 7.95225 | − | 6.05365i | 0.272921 | − | 0.207761i | ||||
\(850\) | 6.63013 | − | 11.4837i | 0.227412 | − | 0.393888i | ||||
\(851\) | 6.88166 | + | 3.97313i | 0.235900 | + | 0.136197i | ||||
\(852\) | 8.32187 | − | 6.33503i | 0.285103 | − | 0.217034i | ||||
\(853\) | 27.6153i | 0.945529i | 0.881189 | + | 0.472765i | \(0.156744\pi\) | ||||
−0.881189 | + | 0.472765i | \(0.843256\pi\) | |||||||
\(854\) | −39.9404 | − | 7.05235i | −1.36673 | − | 0.241326i | ||||
\(855\) | −15.7335 | + | 4.08667i | −0.538075 | + | 0.139761i | ||||
\(856\) | 19.1556 | + | 33.1784i | 0.654724 | + | 1.13402i | ||||
\(857\) | 9.15264 | − | 15.8528i | 0.312648 | − | 0.541523i | −0.666287 | − | 0.745696i | \(-0.732117\pi\) |
0.978935 | + | 0.204173i | \(0.0654506\pi\) | |||||||
\(858\) | 16.7693 | − | 23.2469i | 0.572493 | − | 0.793635i | ||||
\(859\) | 13.0535 | + | 22.6093i | 0.445378 | + | 0.771418i | 0.998078 | − | 0.0619623i | \(-0.0197359\pi\) |
−0.552700 | + | 0.833380i | \(0.686403\pi\) | |||||||
\(860\) | −4.08242 | −0.139209 | ||||||||
\(861\) | 1.44552 | − | 30.2770i | 0.0492631 | − | 1.03184i | ||||
\(862\) | 16.1755 | 0.550941 | ||||||||
\(863\) | −35.8393 | + | 20.6918i | −1.21998 | + | 0.704358i | −0.964914 | − | 0.262565i | \(-0.915432\pi\) |
−0.255069 | + | 0.966923i | \(0.582098\pi\) | |||||||
\(864\) | 2.13854 | − | 14.9154i | 0.0727546 | − | 0.507431i | ||||
\(865\) | −19.6701 | − | 11.3566i | −0.668805 | − | 0.386135i | ||||
\(866\) | −5.76143 | − | 9.97909i | −0.195781 | − | 0.339103i | ||||
\(867\) | 17.8318 | − | 2.27805i | 0.605601 | − | 0.0773667i | ||||
\(868\) | 1.15586 | + | 0.970351i | 0.0392325 | + | 0.0329358i | ||||
\(869\) | −22.0463 | − | 5.12432i | −0.747868 | − | 0.173831i | ||||
\(870\) | −14.2934 | + | 10.8808i | −0.484591 | + | 0.368895i | ||||
\(871\) | −25.4274 | − | 14.6805i | −0.861574 | − | 0.497430i | ||||
\(872\) | 21.0602 | + | 12.1591i | 0.713187 | + | 0.411759i | ||||
\(873\) | 14.6166 | + | 14.8426i | 0.494695 | + | 0.502345i | ||||
\(874\) | −46.7671 | −1.58192 | ||||||||
\(875\) | −9.88077 | − | 27.1673i | −0.334031 | − | 0.918421i | ||||
\(876\) | −1.51051 | − | 11.8238i | −0.0510353 | − | 0.399488i | ||||
\(877\) | 2.74545 | − | 1.58509i | 0.0927074 | − | 0.0535246i | −0.452930 | − | 0.891546i | \(-0.649621\pi\) |
0.545637 | + | 0.838022i | \(0.316288\pi\) | |||||||
\(878\) | −27.5492 | − | 15.9056i | −0.929742 | − | 0.536787i | ||||
\(879\) | −11.2856 | + | 26.9529i | −0.380654 | + | 0.909100i | ||||
\(880\) | 6.10709 | + | 20.0821i | 0.205870 | + | 0.676969i | ||||
\(881\) | 27.2016i | 0.916446i | 0.888837 | + | 0.458223i | \(0.151514\pi\) | ||||
−0.888837 | + | 0.458223i | \(0.848486\pi\) | |||||||
\(882\) | −13.8561 | − | 30.3579i | −0.466560 | − | 1.02220i | ||||
\(883\) | 38.3806 | 1.29161 | 0.645806 | − | 0.763502i | \(-0.276522\pi\) | ||||
0.645806 | + | 0.763502i | \(0.276522\pi\) | |||||||
\(884\) | −3.67471 | + | 2.12159i | −0.123594 | + | 0.0713569i | ||||
\(885\) | 9.60789 | − | 22.9461i | 0.322966 | − | 0.771326i | ||||
\(886\) | −8.93693 | − | 5.15974i | −0.300242 | − | 0.173345i | ||||
\(887\) | −0.924911 | − | 1.60199i | −0.0310555 | − | 0.0537897i | 0.850080 | − | 0.526654i | \(-0.176554\pi\) |
−0.881135 | + | 0.472864i | \(0.843220\pi\) | |||||||
\(888\) | −4.44419 | + | 0.567754i | −0.149137 | + | 0.0190526i | ||||
\(889\) | 3.93712 | + | 10.8251i | 0.132047 | + | 0.363064i | ||||
\(890\) | −27.0226 | −0.905798 | ||||||||
\(891\) | −20.7219 | + | 21.4849i | −0.694211 | + | 0.719772i | ||||
\(892\) | 4.39996 | − | 7.62096i | 0.147322 | − | 0.255169i | ||||
\(893\) | 2.80407 | − | 4.85678i | 0.0938345 | − | 0.162526i | ||||
\(894\) | −37.5414 | − | 49.3154i | −1.25557 | − | 1.64935i | ||||
\(895\) | −0.358727 | −0.0119909 | ||||||||
\(896\) | −27.6624 | − | 23.2227i | −0.924137 | − | 0.775817i | ||||
\(897\) | 38.8405 | − | 4.96195i | 1.29685 | − | 0.165675i | ||||
\(898\) | 8.38716 | − | 4.84233i | 0.279883 | − | 0.161591i | ||||
\(899\) | 2.67404 | − | 4.63158i | 0.0891843 | − | 0.154472i | ||||
\(900\) | −1.36019 | + | 4.92484i | −0.0453396 | + | 0.164161i | ||||
\(901\) | 5.79916 | − | 3.34815i | 0.193198 | − | 0.111543i | ||||
\(902\) | 7.89249 | − | 33.9557i | 0.262791 | − | 1.13060i | ||||
\(903\) | −26.8443 | − | 1.28163i | −0.893321 | − | 0.0426500i | ||||
\(904\) | − | 15.9285i | − | 0.529774i | ||||||
\(905\) | 11.6505 | − | 6.72639i | 0.387274 | − | 0.223593i | ||||
\(906\) | 41.9555 | + | 17.5674i | 1.39388 | + | 0.583637i | ||||
\(907\) | −0.104375 | + | 0.180782i | −0.00346570 | + | 0.00600277i | −0.867753 | − | 0.496996i | \(-0.834437\pi\) |
0.864287 | + | 0.502998i | \(0.167770\pi\) | |||||||
\(908\) | −3.69444 | − | 6.39896i | −0.122604 | − | 0.212357i | ||||
\(909\) | −39.0610 | + | 10.1458i | −1.29557 | + | 0.336515i | ||||
\(910\) | −3.04281 | + | 17.2327i | −0.100868 | + | 0.571257i | ||||
\(911\) | − | 30.7277i | − | 1.01805i | −0.860750 | − | 0.509027i | \(-0.830005\pi\) | ||
0.860750 | − | 0.509027i | \(-0.169995\pi\) | |||||||
\(912\) | 26.8982 | − | 20.4762i | 0.890688 | − | 0.678036i | ||||
\(913\) | 31.9419 | + | 29.8752i | 1.05712 | + | 0.988725i | ||||
\(914\) | 55.1014 | + | 31.8128i | 1.82259 | + | 1.05227i | ||||
\(915\) | −13.4154 | − | 17.6228i | −0.443499 | − | 0.582593i | ||||
\(916\) | 0.828433 | 0.0273722 | ||||||||
\(917\) | −6.37696 | − | 5.35349i | −0.210586 | − | 0.176788i | ||||
\(918\) | 19.7217 | − | 7.90433i | 0.650912 | − | 0.260882i | ||||
\(919\) | −20.1519 | + | 11.6347i | −0.664750 | + | 0.383794i | −0.794085 | − | 0.607807i | \(-0.792049\pi\) |
0.129334 | + | 0.991601i | \(0.458716\pi\) | |||||||
\(920\) | −11.1829 | + | 19.3693i | −0.368689 | + | 0.638588i | ||||
\(921\) | 12.5439 | + | 5.25230i | 0.413334 | + | 0.173069i | ||||
\(922\) | −23.8642 | − | 41.3341i | −0.785927 | − | 1.36127i | ||||
\(923\) | −36.1048 | −1.18840 | ||||||||
\(924\) | −1.95546 | − | 7.73849i | −0.0643301 | − | 0.254578i | ||||
\(925\) | 3.57932 | 0.117687 | ||||||||
\(926\) | −11.3709 | − | 19.6949i | −0.373669 | − | 0.647214i | ||||
\(927\) | 0.656123 | − | 2.37563i | 0.0215499 | − | 0.0780259i | ||||
\(928\) | 7.13905 | − | 12.3652i | 0.234351 | − | 0.405908i | ||||
\(929\) | −27.2020 | + | 15.7051i | −0.892470 | + | 0.515268i | −0.874750 | − | 0.484575i | \(-0.838974\pi\) |
−0.0177204 | + | 0.999843i | \(0.505641\pi\) | |||||||
\(930\) | 0.502164 | + | 3.93077i | 0.0164666 | + | 0.128895i | ||||
\(931\) | 9.79960 | − | 26.8844i | 0.321169 | − | 0.881101i | ||||
\(932\) | 4.14786 | 0.135868 | ||||||||
\(933\) | 1.82714 | − | 1.39091i | 0.0598179 | − | 0.0455364i | ||||
\(934\) | −21.0053 | − | 12.1274i | −0.687313 | − | 0.396821i | ||||
\(935\) | −7.72728 | + | 8.26183i | −0.252709 | + | 0.270191i | ||||
\(936\) | −15.7303 | + | 15.4908i | −0.514162 | + | 0.506332i | ||||
\(937\) | 18.5365i | 0.605561i | 0.953060 | + | 0.302781i | \(0.0979150\pi\) | ||||
−0.953060 | + | 0.302781i | \(0.902085\pi\) | |||||||
\(938\) | −36.9447 | + | 13.4368i | −1.20629 | + | 0.438728i | ||||
\(939\) | −34.4680 | + | 4.40336i | −1.12482 | + | 0.143698i | ||||
\(940\) | 0.477504 | + | 0.827062i | 0.0155745 | + | 0.0269758i | ||||
\(941\) | −9.42458 | + | 16.3238i | −0.307232 | + | 0.532142i | −0.977756 | − | 0.209746i | \(-0.932736\pi\) |
0.670523 | + | 0.741888i | \(0.266070\pi\) | |||||||
\(942\) | 15.1575 | − | 36.2000i | 0.493857 | − | 1.17946i | ||||
\(943\) | 41.2413 | − | 23.8107i | 1.34300 | − | 0.775383i | ||||
\(944\) | 51.7330i | 1.68377i | ||||||||
\(945\) | 5.68353 | − | 17.3141i | 0.184885 | − | 0.563227i | ||||
\(946\) | −30.1059 | − | 6.99766i | −0.978826 | − | 0.227514i | ||||
\(947\) | 19.4135 | − | 11.2084i | 0.630855 | − | 0.364225i | −0.150228 | − | 0.988651i | \(-0.548001\pi\) |
0.781083 | + | 0.624427i | \(0.214667\pi\) | |||||||
\(948\) | −5.72582 | − | 2.39749i | −0.185966 | − | 0.0778667i | ||||
\(949\) | −20.5743 | + | 35.6357i | −0.667869 | + | 1.15678i | ||||
\(950\) | −18.2436 | + | 10.5329i | −0.591899 | + | 0.341733i | ||||
\(951\) | −4.07658 | − | 31.9101i | −0.132192 | − | 1.03476i | ||||
\(952\) | 2.77433 | − | 15.7122i | 0.0899167 | − | 0.509235i | ||||
\(953\) | −18.6473 | −0.604047 | −0.302023 | − | 0.953301i | \(-0.597662\pi\) | ||||
−0.302023 | + | 0.953301i | \(0.597662\pi\) | |||||||
\(954\) | −8.83947 | + | 8.70487i | −0.286188 | + | 0.281830i | ||||
\(955\) | −12.8061 | + | 22.1807i | −0.414394 | + | 0.717752i | ||||
\(956\) | −1.13605 | + | 1.96769i | −0.0367424 | + | 0.0636398i | ||||
\(957\) | −25.8004 | + | 11.5925i | −0.834008 | + | 0.374731i | ||||
\(958\) | 38.6645 | 1.24919 | ||||||||
\(959\) | 10.1201 | + | 1.78693i | 0.326796 | + | 0.0577030i | ||||
\(960\) | −1.43754 | − | 11.2526i | −0.0463964 | − | 0.363176i | ||||
\(961\) | 14.9101 | + | 25.8251i | 0.480971 | + | 0.833067i | ||||
\(962\) | −4.76945 | − | 2.75364i | −0.153773 | − | 0.0887810i | ||||
\(963\) | 13.0557 | − | 47.2709i | 0.420715 | − | 1.52328i | ||||
\(964\) | 1.15223 | − | 0.665241i | 0.0371108 | − | 0.0214260i | ||||
\(965\) | 19.8949 | 0.640439 | ||||||||
\(966\) | 28.3491 | − | 44.1017i | 0.912118 | − | 1.41895i | ||||
\(967\) | 22.8078i | 0.733448i | 0.930330 | + | 0.366724i | \(0.119521\pi\) | ||||
−0.930330 | + | 0.366724i | \(0.880479\pi\) | |||||||
\(968\) | 1.72183 | + | 25.7224i | 0.0553417 | + | 0.826749i | ||||
\(969\) | 16.8050 | + | 7.03652i | 0.539855 | + | 0.226046i | ||||
\(970\) | −12.6666 | − | 7.31309i | −0.406701 | − | 0.234809i | ||||
\(971\) | 36.4486 | − | 21.0436i | 1.16969 | − | 0.675321i | 0.216084 | − | 0.976375i | \(-0.430672\pi\) |
0.953607 | + | 0.301054i | \(0.0973383\pi\) | |||||||
\(972\) | −6.58911 | + | 4.85810i | −0.211346 | + | 0.155824i | ||||
\(973\) | 12.4831 | + | 34.3225i | 0.400191 | + | 1.10033i | ||||
\(974\) | −65.9222 | −2.11228 | ||||||||
\(975\) | 14.0339 | − | 10.6833i | 0.449445 | − | 0.342140i | ||||
\(976\) | 39.8884 | + | 23.0296i | 1.27680 | + | 0.737158i | ||||
\(977\) | −23.0672 | − | 13.3178i | −0.737984 | − | 0.426075i | 0.0833519 | − | 0.996520i | \(-0.473437\pi\) |
−0.821336 | + | 0.570445i | \(0.806771\pi\) | |||||||
\(978\) | −0.758620 | − | 0.996545i | −0.0242580 | − | 0.0318660i | ||||
\(979\) | −41.4441 | − | 9.63306i | −1.32456 | − | 0.307874i | ||||
\(980\) | 3.13041 | + | 3.73427i | 0.0999971 | + | 0.119287i | ||||
\(981\) | −7.82582 | − | 30.1291i | −0.249859 | − | 0.961948i | ||||
\(982\) | −16.7542 | − | 29.0190i | −0.534647 | − | 0.926035i | ||||
\(983\) | 0.536259 | + | 0.309609i | 0.0171040 | + | 0.00987501i | 0.508528 | − | 0.861046i | \(-0.330190\pi\) |
−0.491424 | + | 0.870921i | \(0.663523\pi\) | |||||||
\(984\) | −10.3702 | + | 24.7668i | −0.330590 | + | 0.789535i | ||||
\(985\) | −3.55655 | + | 2.05337i | −0.113321 | + | 0.0654259i | ||||
\(986\) | 20.1331 | 0.641167 | ||||||||
\(987\) | 2.88022 | + | 5.58832i | 0.0916785 | + | 0.177878i | ||||
\(988\) | 6.74091 | 0.214457 | ||||||||
\(989\) | −21.1111 | − | 36.5655i | −0.671294 | − | 1.16271i | ||||
\(990\) | 10.0083 | − | 18.4140i | 0.318085 | − | 0.585236i | ||||
\(991\) | −18.4920 | + | 32.0290i | −0.587417 | + | 1.01744i | 0.407153 | + | 0.913360i | \(0.366522\pi\) |
−0.994569 | + | 0.104075i | \(0.966812\pi\) | |||||||
\(992\) | −1.57485 | − | 2.72772i | −0.0500015 | − | 0.0866051i | ||||
\(993\) | −24.9201 | + | 3.18359i | −0.790815 | + | 0.101028i | ||||
\(994\) | −31.0823 | + | 37.0246i | −0.985871 | + | 1.17435i | ||||
\(995\) | − | 3.04864i | − | 0.0966484i | ||||||
\(996\) | 7.26539 | + | 9.54402i | 0.230213 | + | 0.302414i | ||||
\(997\) | 12.4284 | + | 7.17557i | 0.393613 | + | 0.227253i | 0.683724 | − | 0.729740i | \(-0.260359\pi\) |
−0.290111 | + | 0.956993i | \(0.593692\pi\) | |||||||
\(998\) | −28.9478 | + | 50.1390i | −0.916326 | + | 1.58712i | ||||
\(999\) | 4.50947 | + | 3.54343i | 0.142673 | + | 0.112109i |
(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 | 231.2.l.b.32.17 | yes | 48 | |
3.2 | odd | 2 | inner | 231.2.l.b.32.8 | yes | 48 | |
7.2 | even | 3 | inner | 231.2.l.b.65.18 | yes | 48 | |
11.10 | odd | 2 | inner | 231.2.l.b.32.7 | ✓ | 48 | |
21.2 | odd | 6 | inner | 231.2.l.b.65.7 | yes | 48 | |
33.32 | even | 2 | inner | 231.2.l.b.32.18 | yes | 48 | |
77.65 | odd | 6 | inner | 231.2.l.b.65.8 | yes | 48 | |
231.65 | even | 6 | inner | 231.2.l.b.65.17 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.l.b.32.7 | ✓ | 48 | 11.10 | odd | 2 | inner | |
231.2.l.b.32.8 | yes | 48 | 3.2 | odd | 2 | inner | |
231.2.l.b.32.17 | yes | 48 | 1.1 | even | 1 | trivial | |
231.2.l.b.32.18 | yes | 48 | 33.32 | even | 2 | inner | |
231.2.l.b.65.7 | yes | 48 | 21.2 | odd | 6 | inner | |
231.2.l.b.65.8 | yes | 48 | 77.65 | odd | 6 | inner | |
231.2.l.b.65.17 | yes | 48 | 231.65 | even | 6 | inner | |
231.2.l.b.65.18 | yes | 48 | 7.2 | even | 3 | inner |