Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(107,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.p (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: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.18 | ||
Character | \(\chi\) | \(=\) | 798.107 |
Dual form | 798.2.p.d.179.18 |
$q$-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 \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.25084 | − | 1.19809i | 0.722171 | − | 0.691715i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.95673i | 0.875074i | 0.899200 | + | 0.437537i | \(0.144149\pi\) | ||||
−0.899200 | + | 0.437537i | \(0.855851\pi\) | |||||||
\(6\) | 1.25084 | − | 1.19809i | 0.510652 | − | 0.489116i | ||||
\(7\) | 1.98940 | + | 1.74422i | 0.751922 | + | 0.659252i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.129182 | − | 2.99722i | 0.0430607 | − | 0.999072i | ||||
\(10\) | 1.95673i | 0.618771i | ||||||||
\(11\) | −1.30073 | + | 0.750974i | −0.392183 | + | 0.226427i | −0.683106 | − | 0.730319i | \(-0.739371\pi\) |
0.290922 | + | 0.956747i | \(0.406038\pi\) | |||||||
\(12\) | 1.25084 | − | 1.19809i | 0.361085 | − | 0.345858i | ||||
\(13\) | −0.271478 | − | 0.156738i | −0.0752944 | − | 0.0434713i | 0.461880 | − | 0.886942i | \(-0.347175\pi\) |
−0.537175 | + | 0.843471i | \(0.680508\pi\) | |||||||
\(14\) | 1.98940 | + | 1.74422i | 0.531689 | + | 0.466161i | ||||
\(15\) | 2.34432 | + | 2.44754i | 0.605302 | + | 0.631953i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0.475982 | + | 0.274809i | 0.115443 | + | 0.0666509i | 0.556610 | − | 0.830774i | \(-0.312102\pi\) |
−0.441167 | + | 0.897425i | \(0.645435\pi\) | |||||||
\(18\) | 0.129182 | − | 2.99722i | 0.0304485 | − | 0.706451i | ||||
\(19\) | 4.35877 | + | 0.0337967i | 0.999970 | + | 0.00775349i | ||||
\(20\) | 1.95673i | 0.437537i | ||||||||
\(21\) | 4.57813 | − | 0.201741i | 0.999030 | − | 0.0440235i | ||||
\(22\) | −1.30073 | + | 0.750974i | −0.277316 | + | 0.160108i | ||||
\(23\) | −2.91260 | + | 1.68159i | −0.607320 | + | 0.350636i | −0.771916 | − | 0.635725i | \(-0.780701\pi\) |
0.164596 | + | 0.986361i | \(0.447368\pi\) | |||||||
\(24\) | 1.25084 | − | 1.19809i | 0.255326 | − | 0.244558i | ||||
\(25\) | 1.17123 | 0.234245 | ||||||||
\(26\) | −0.271478 | − | 0.156738i | −0.0532412 | − | 0.0307388i | ||||
\(27\) | −3.42934 | − | 3.90380i | −0.659976 | − | 0.751286i | ||||
\(28\) | 1.98940 | + | 1.74422i | 0.375961 | + | 0.329626i | ||||
\(29\) | 1.14433 | − | 1.98204i | 0.212497 | − | 0.368055i | −0.739999 | − | 0.672608i | \(-0.765174\pi\) |
0.952495 | + | 0.304553i | \(0.0985072\pi\) | |||||||
\(30\) | 2.34432 | + | 2.44754i | 0.428013 | + | 0.446858i | ||||
\(31\) | 0.673645 | − | 0.388929i | 0.120990 | − | 0.0698537i | −0.438284 | − | 0.898837i | \(-0.644413\pi\) |
0.559274 | + | 0.828983i | \(0.311080\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.727263 | + | 2.49773i | −0.126600 | + | 0.434798i | ||||
\(34\) | 0.475982 | + | 0.274809i | 0.0816303 | + | 0.0471293i | ||||
\(35\) | −3.41295 | + | 3.89271i | −0.576894 | + | 0.657988i | ||||
\(36\) | 0.129182 | − | 2.99722i | 0.0215304 | − | 0.499536i | ||||
\(37\) | −2.22529 | − | 1.28477i | −0.365835 | − | 0.211215i | 0.305802 | − | 0.952095i | \(-0.401075\pi\) |
−0.671637 | + | 0.740880i | \(0.734409\pi\) | |||||||
\(38\) | 4.35877 | + | 0.0337967i | 0.707086 | + | 0.00548255i | ||||
\(39\) | −0.527360 | + | 0.129200i | −0.0844451 | + | 0.0206886i | ||||
\(40\) | 1.95673i | 0.309385i | ||||||||
\(41\) | −2.41328 | − | 4.17992i | −0.376891 | − | 0.652794i | 0.613718 | − | 0.789526i | \(-0.289673\pi\) |
−0.990608 | + | 0.136732i | \(0.956340\pi\) | |||||||
\(42\) | 4.57813 | − | 0.201741i | 0.706421 | − | 0.0311293i | ||||
\(43\) | −2.59988 | − | 4.50313i | −0.396479 | − | 0.686721i | 0.596810 | − | 0.802383i | \(-0.296435\pi\) |
−0.993289 | + | 0.115661i | \(0.963101\pi\) | |||||||
\(44\) | −1.30073 | + | 0.750974i | −0.196092 | + | 0.113214i | ||||
\(45\) | 5.86473 | + | 0.252774i | 0.874263 | + | 0.0376813i | ||||
\(46\) | −2.91260 | + | 1.68159i | −0.429440 | + | 0.247937i | ||||
\(47\) | −8.03262 | + | 4.63764i | −1.17168 | + | 0.676469i | −0.954075 | − | 0.299569i | \(-0.903157\pi\) |
−0.217603 | + | 0.976037i | \(0.569824\pi\) | |||||||
\(48\) | 1.25084 | − | 1.19809i | 0.180543 | − | 0.172929i | ||||
\(49\) | 0.915417 | + | 6.93989i | 0.130774 | + | 0.991412i | ||||
\(50\) | 1.17123 | 0.165636 | ||||||||
\(51\) | 0.924620 | − | 0.226527i | 0.129473 | − | 0.0317201i | ||||
\(52\) | −0.271478 | − | 0.156738i | −0.0376472 | − | 0.0217356i | ||||
\(53\) | −10.8689 | −1.49295 | −0.746477 | − | 0.665411i | \(-0.768256\pi\) | ||||
−0.746477 | + | 0.665411i | \(0.768256\pi\) | |||||||
\(54\) | −3.42934 | − | 3.90380i | −0.466674 | − | 0.531240i | ||||
\(55\) | −1.46945 | − | 2.54516i | −0.198141 | − | 0.343190i | ||||
\(56\) | 1.98940 | + | 1.74422i | 0.265845 | + | 0.233081i | ||||
\(57\) | 5.49260 | − | 5.17990i | 0.727512 | − | 0.686095i | ||||
\(58\) | 1.14433 | − | 1.98204i | 0.150258 | − | 0.260254i | ||||
\(59\) | 5.30675 | − | 9.19155i | 0.690879 | − | 1.19664i | −0.280671 | − | 0.959804i | \(-0.590557\pi\) |
0.971550 | − | 0.236834i | \(-0.0761098\pi\) | |||||||
\(60\) | 2.34432 | + | 2.44754i | 0.302651 | + | 0.315976i | ||||
\(61\) | 5.26836 | + | 9.12507i | 0.674545 | + | 1.16835i | 0.976602 | + | 0.215056i | \(0.0689933\pi\) |
−0.302057 | + | 0.953290i | \(0.597673\pi\) | |||||||
\(62\) | 0.673645 | − | 0.388929i | 0.0855530 | − | 0.0493941i | ||||
\(63\) | 5.48479 | − | 5.73734i | 0.691019 | − | 0.722837i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.306693 | − | 0.531208i | 0.0380406 | − | 0.0658882i | ||||
\(66\) | −0.727263 | + | 2.49773i | −0.0895199 | + | 0.307449i | ||||
\(67\) | − | 0.0196594i | − | 0.00240178i | −0.999999 | − | 0.00120089i | \(-0.999618\pi\) | ||
0.999999 | − | 0.00120089i | \(-0.000382256\pi\) | |||||||
\(68\) | 0.475982 | + | 0.274809i | 0.0577213 | + | 0.0333254i | ||||
\(69\) | −1.62850 | + | 5.59294i | −0.196048 | + | 0.673311i | ||||
\(70\) | −3.41295 | + | 3.89271i | −0.407926 | + | 0.465268i | ||||
\(71\) | −3.62859 | − | 6.28490i | −0.430634 | − | 0.745880i | 0.566294 | − | 0.824203i | \(-0.308377\pi\) |
−0.996928 | + | 0.0783233i | \(0.975043\pi\) | |||||||
\(72\) | 0.129182 | − | 2.99722i | 0.0152243 | − | 0.353225i | ||||
\(73\) | 3.75080 | − | 6.49658i | 0.438998 | − | 0.760367i | −0.558615 | − | 0.829427i | \(-0.688667\pi\) |
0.997612 | + | 0.0690607i | \(0.0220002\pi\) | |||||||
\(74\) | −2.22529 | − | 1.28477i | −0.258685 | − | 0.149352i | ||||
\(75\) | 1.46501 | − | 1.40323i | 0.169165 | − | 0.162031i | ||||
\(76\) | 4.35877 | + | 0.0337967i | 0.499985 | + | 0.00387675i | ||||
\(77\) | −3.89752 | − | 0.774760i | −0.444164 | − | 0.0882920i | ||||
\(78\) | −0.527360 | + | 0.129200i | −0.0597117 | + | 0.0146291i | ||||
\(79\) | 5.37959i | 0.605252i | 0.953109 | + | 0.302626i | \(0.0978632\pi\) | ||||
−0.953109 | + | 0.302626i | \(0.902137\pi\) | |||||||
\(80\) | 1.95673i | 0.218769i | ||||||||
\(81\) | −8.96662 | − | 0.774374i | −0.996292 | − | 0.0860416i | ||||
\(82\) | −2.41328 | − | 4.17992i | −0.266502 | − | 0.461595i | ||||
\(83\) | − | 11.1431i | − | 1.22312i | −0.791198 | − | 0.611560i | \(-0.790542\pi\) | ||
0.791198 | − | 0.611560i | \(-0.209458\pi\) | |||||||
\(84\) | 4.57813 | − | 0.201741i | 0.499515 | − | 0.0220117i | ||||
\(85\) | −0.537725 | + | 0.931367i | −0.0583244 | + | 0.101021i | ||||
\(86\) | −2.59988 | − | 4.50313i | −0.280353 | − | 0.485585i | ||||
\(87\) | −0.943281 | − | 3.85021i | −0.101130 | − | 0.412786i | ||||
\(88\) | −1.30073 | + | 0.750974i | −0.138658 | + | 0.0800541i | ||||
\(89\) | −2.48533 | − | 4.30472i | −0.263445 | − | 0.456300i | 0.703710 | − | 0.710487i | \(-0.251525\pi\) |
−0.967155 | + | 0.254187i | \(0.918192\pi\) | |||||||
\(90\) | 5.86473 | + | 0.252774i | 0.618197 | + | 0.0266447i | ||||
\(91\) | −0.266693 | − | 0.785330i | −0.0279570 | − | 0.0823250i | ||||
\(92\) | −2.91260 | + | 1.68159i | −0.303660 | + | 0.175318i | ||||
\(93\) | 0.376649 | − | 1.29357i | 0.0390567 | − | 0.134137i | ||||
\(94\) | −8.03262 | + | 4.63764i | −0.828502 | + | 0.478336i | ||||
\(95\) | −0.0661308 | + | 8.52891i | −0.00678488 | + | 0.875048i | ||||
\(96\) | 1.25084 | − | 1.19809i | 0.127663 | − | 0.122279i | ||||
\(97\) | −2.00828 | + | 1.15948i | −0.203910 | + | 0.117727i | −0.598478 | − | 0.801139i | \(-0.704228\pi\) |
0.394568 | + | 0.918867i | \(0.370894\pi\) | |||||||
\(98\) | 0.915417 | + | 6.93989i | 0.0924711 | + | 0.701034i | ||||
\(99\) | 2.08280 | + | 3.99557i | 0.209329 | + | 0.401570i | ||||
\(100\) | 1.17123 | 0.117123 | ||||||||
\(101\) | − | 2.01100i | − | 0.200102i | −0.994982 | − | 0.100051i | \(-0.968099\pi\) | ||
0.994982 | − | 0.100051i | \(-0.0319005\pi\) | |||||||
\(102\) | 0.924620 | − | 0.226527i | 0.0915510 | − | 0.0224295i | ||||
\(103\) | 2.37790 | + | 1.37288i | 0.234302 | + | 0.135274i | 0.612555 | − | 0.790428i | \(-0.290142\pi\) |
−0.378253 | + | 0.925702i | \(0.623475\pi\) | |||||||
\(104\) | −0.271478 | − | 0.156738i | −0.0266206 | − | 0.0153694i | ||||
\(105\) | 0.394752 | + | 8.95815i | 0.0385238 | + | 0.874226i | ||||
\(106\) | −10.8689 | −1.05568 | ||||||||
\(107\) | −3.96645 | + | 6.87009i | −0.383451 | + | 0.664157i | −0.991553 | − | 0.129702i | \(-0.958598\pi\) |
0.608102 | + | 0.793859i | \(0.291931\pi\) | |||||||
\(108\) | −3.42934 | − | 3.90380i | −0.329988 | − | 0.375643i | ||||
\(109\) | −13.8708 | − | 8.00830i | −1.32858 | − | 0.767056i | −0.343500 | − | 0.939153i | \(-0.611612\pi\) |
−0.985080 | + | 0.172097i | \(0.944946\pi\) | |||||||
\(110\) | −1.46945 | − | 2.54516i | −0.140107 | − | 0.242672i | ||||
\(111\) | −4.32274 | + | 1.05905i | −0.410296 | + | 0.100520i | ||||
\(112\) | 1.98940 | + | 1.74422i | 0.187981 | + | 0.164813i | ||||
\(113\) | −5.37956 | −0.506066 | −0.253033 | − | 0.967458i | \(-0.581428\pi\) | ||||
−0.253033 | + | 0.967458i | \(0.581428\pi\) | |||||||
\(114\) | 5.49260 | − | 5.17990i | 0.514429 | − | 0.485142i | ||||
\(115\) | −3.29041 | − | 5.69916i | −0.306833 | − | 0.531450i | ||||
\(116\) | 1.14433 | − | 1.98204i | 0.106248 | − | 0.184028i | ||||
\(117\) | −0.504848 | + | 0.793431i | −0.0466732 | + | 0.0733527i | ||||
\(118\) | 5.30675 | − | 9.19155i | 0.488526 | − | 0.846151i | ||||
\(119\) | 0.467593 | + | 1.37692i | 0.0428642 | + | 0.126222i | ||||
\(120\) | 2.34432 | + | 2.44754i | 0.214007 | + | 0.223429i | ||||
\(121\) | −4.37208 | + | 7.57266i | −0.397461 | + | 0.688423i | ||||
\(122\) | 5.26836 | + | 9.12507i | 0.476975 | + | 0.826145i | ||||
\(123\) | −8.02651 | − | 2.33708i | −0.723726 | − | 0.210727i | ||||
\(124\) | 0.673645 | − | 0.388929i | 0.0604951 | − | 0.0349269i | ||||
\(125\) | 12.0754i | 1.08006i | ||||||||
\(126\) | 5.48479 | − | 5.73734i | 0.488624 | − | 0.511123i | ||||
\(127\) | −4.02863 | − | 2.32593i | −0.357483 | − | 0.206393i | 0.310493 | − | 0.950576i | \(-0.399506\pi\) |
−0.667976 | + | 0.744183i | \(0.732839\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −8.64717 | − | 2.51780i | −0.761340 | − | 0.221680i | ||||
\(130\) | 0.306693 | − | 0.531208i | 0.0268988 | − | 0.0465900i | ||||
\(131\) | 7.46944i | 0.652608i | 0.945265 | + | 0.326304i | \(0.105803\pi\) | ||||
−0.945265 | + | 0.326304i | \(0.894197\pi\) | |||||||
\(132\) | −0.727263 | + | 2.49773i | −0.0633001 | + | 0.217399i | ||||
\(133\) | 8.61238 | + | 7.66987i | 0.746788 | + | 0.665062i | ||||
\(134\) | − | 0.0196594i | − | 0.00169832i | ||||||
\(135\) | 7.63866 | − | 6.71027i | 0.657431 | − | 0.577528i | ||||
\(136\) | 0.475982 | + | 0.274809i | 0.0408151 | + | 0.0235646i | ||||
\(137\) | 18.4646i | 1.57754i | 0.614690 | + | 0.788769i | \(0.289281\pi\) | ||||
−0.614690 | + | 0.788769i | \(0.710719\pi\) | |||||||
\(138\) | −1.62850 | + | 5.59294i | −0.138627 | + | 0.476103i | ||||
\(139\) | 9.32549 | − | 16.1522i | 0.790978 | − | 1.37001i | −0.134384 | − | 0.990929i | \(-0.542906\pi\) |
0.925362 | − | 0.379084i | \(-0.123761\pi\) | |||||||
\(140\) | −3.41295 | + | 3.89271i | −0.288447 | + | 0.328994i | ||||
\(141\) | −4.49121 | + | 15.4247i | −0.378228 | + | 1.29899i | ||||
\(142\) | −3.62859 | − | 6.28490i | −0.304504 | − | 0.527417i | ||||
\(143\) | 0.470824 | 0.0393723 | ||||||||
\(144\) | 0.129182 | − | 2.99722i | 0.0107652 | − | 0.249768i | ||||
\(145\) | 3.87830 | + | 2.23914i | 0.322076 | + | 0.185950i | ||||
\(146\) | 3.75080 | − | 6.49658i | 0.310418 | − | 0.537660i | ||||
\(147\) | 9.45961 | + | 7.58391i | 0.780216 | + | 0.625511i | ||||
\(148\) | −2.22529 | − | 1.28477i | −0.182918 | − | 0.105608i | ||||
\(149\) | 12.4115i | 1.01679i | 0.861125 | + | 0.508394i | \(0.169761\pi\) | ||||
−0.861125 | + | 0.508394i | \(0.830239\pi\) | |||||||
\(150\) | 1.46501 | − | 1.40323i | 0.119618 | − | 0.114573i | ||||
\(151\) | −1.29008 | + | 0.744830i | −0.104985 | + | 0.0606134i | −0.551573 | − | 0.834126i | \(-0.685972\pi\) |
0.446588 | + | 0.894740i | \(0.352639\pi\) | |||||||
\(152\) | 4.35877 | + | 0.0337967i | 0.353543 | + | 0.00274127i | ||||
\(153\) | 0.885149 | − | 1.39112i | 0.0715601 | − | 0.112466i | ||||
\(154\) | −3.89752 | − | 0.774760i | −0.314071 | − | 0.0624319i | ||||
\(155\) | 0.761028 | + | 1.31814i | 0.0611272 | + | 0.105875i | ||||
\(156\) | −0.527360 | + | 0.129200i | −0.0422226 | + | 0.0103443i | ||||
\(157\) | −6.32409 | + | 10.9536i | −0.504718 | + | 0.874196i | 0.495268 | + | 0.868740i | \(0.335070\pi\) |
−0.999985 | + | 0.00545593i | \(0.998263\pi\) | |||||||
\(158\) | 5.37959i | 0.427978i | ||||||||
\(159\) | −13.5952 | + | 13.0218i | −1.07817 | + | 1.03270i | ||||
\(160\) | 1.95673i | 0.154693i | ||||||||
\(161\) | −8.72739 | − | 1.73485i | −0.687815 | − | 0.136726i | ||||
\(162\) | −8.96662 | − | 0.774374i | −0.704485 | − | 0.0608406i | ||||
\(163\) | 4.20038 | − | 7.27527i | 0.328999 | − | 0.569843i | −0.653314 | − | 0.757087i | \(-0.726622\pi\) |
0.982314 | + | 0.187243i | \(0.0599553\pi\) | |||||||
\(164\) | −2.41328 | − | 4.17992i | −0.188445 | − | 0.326397i | ||||
\(165\) | −4.88736 | − | 1.42305i | −0.380481 | − | 0.110785i | ||||
\(166\) | − | 11.1431i | − | 0.864876i | ||||||
\(167\) | 2.00846 | − | 3.47875i | 0.155419 | − | 0.269194i | −0.777792 | − | 0.628521i | \(-0.783661\pi\) |
0.933212 | + | 0.359327i | \(0.116994\pi\) | |||||||
\(168\) | 4.57813 | − | 0.201741i | 0.353211 | − | 0.0155647i | ||||
\(169\) | −6.45087 | − | 11.1732i | −0.496220 | − | 0.859479i | ||||
\(170\) | −0.537725 | + | 0.931367i | −0.0412416 | + | 0.0714326i | ||||
\(171\) | 0.664371 | − | 13.0598i | 0.0508057 | − | 0.998709i | ||||
\(172\) | −2.59988 | − | 4.50313i | −0.198239 | − | 0.343361i | ||||
\(173\) | 12.9114 | 0.981639 | 0.490820 | − | 0.871261i | \(-0.336697\pi\) | ||||
0.490820 | + | 0.871261i | \(0.336697\pi\) | |||||||
\(174\) | −0.943281 | − | 3.85021i | −0.0715100 | − | 0.291884i | ||||
\(175\) | 2.33003 | + | 2.04287i | 0.176134 | + | 0.154426i | ||||
\(176\) | −1.30073 | + | 0.750974i | −0.0980459 | + | 0.0566068i | ||||
\(177\) | −4.37440 | − | 17.8551i | −0.328800 | − | 1.34207i | ||||
\(178\) | −2.48533 | − | 4.30472i | −0.186284 | − | 0.322653i | ||||
\(179\) | 7.29410 | + | 12.6337i | 0.545186 | + | 0.944291i | 0.998595 | + | 0.0529880i | \(0.0168745\pi\) |
−0.453409 | + | 0.891303i | \(0.649792\pi\) | |||||||
\(180\) | 5.86473 | + | 0.252774i | 0.437131 | + | 0.0188407i | ||||
\(181\) | 14.2653 | + | 8.23605i | 1.06033 | + | 0.612181i | 0.925523 | − | 0.378692i | \(-0.123626\pi\) |
0.134805 | + | 0.990872i | \(0.456959\pi\) | |||||||
\(182\) | −0.266693 | − | 0.785330i | −0.0197686 | − | 0.0582126i | ||||
\(183\) | 17.5225 | + | 5.10202i | 1.29530 | + | 0.377152i | ||||
\(184\) | −2.91260 | + | 1.68159i | −0.214720 | + | 0.123969i | ||||
\(185\) | 2.51395 | − | 4.35428i | 0.184829 | − | 0.320133i | ||||
\(186\) | 0.376649 | − | 1.29357i | 0.0276173 | − | 0.0948492i | ||||
\(187\) | −0.825496 | −0.0603663 | ||||||||
\(188\) | −8.03262 | + | 4.63764i | −0.585839 | + | 0.338234i | ||||
\(189\) | −0.0132486 | − | 13.7477i | −0.000963691 | − | 1.00000i | ||||
\(190\) | −0.0661308 | + | 8.52891i | −0.00479764 | + | 0.618752i | ||||
\(191\) | −3.39473 | − | 1.95995i | −0.245634 | − | 0.141817i | 0.372129 | − | 0.928181i | \(-0.378628\pi\) |
−0.617764 | + | 0.786364i | \(0.711961\pi\) | |||||||
\(192\) | 1.25084 | − | 1.19809i | 0.0902713 | − | 0.0864644i | ||||
\(193\) | −14.0560 | − | 8.11521i | −1.01177 | − | 0.584146i | −0.100061 | − | 0.994981i | \(-0.531904\pi\) |
−0.911710 | + | 0.410835i | \(0.865237\pi\) | |||||||
\(194\) | −2.00828 | + | 1.15948i | −0.144186 | + | 0.0832458i | ||||
\(195\) | −0.252810 | − | 1.03190i | −0.0181041 | − | 0.0738958i | ||||
\(196\) | 0.915417 | + | 6.93989i | 0.0653869 | + | 0.495706i | ||||
\(197\) | 11.6882i | 0.832752i | 0.909192 | + | 0.416376i | \(0.136700\pi\) | ||||
−0.909192 | + | 0.416376i | \(0.863300\pi\) | |||||||
\(198\) | 2.08280 | + | 3.99557i | 0.148018 | + | 0.283953i | ||||
\(199\) | −9.71269 | −0.688515 | −0.344257 | − | 0.938875i | \(-0.611869\pi\) | ||||
−0.344257 | + | 0.938875i | \(0.611869\pi\) | |||||||
\(200\) | 1.17123 | 0.0828181 | ||||||||
\(201\) | −0.0235537 | − | 0.0245907i | −0.00166135 | − | 0.00173450i | ||||
\(202\) | − | 2.01100i | − | 0.141493i | ||||||
\(203\) | 5.73363 | − | 1.94710i | 0.402422 | − | 0.136660i | ||||
\(204\) | 0.924620 | − | 0.226527i | 0.0647363 | − | 0.0158601i | ||||
\(205\) | 8.17895 | − | 4.72212i | 0.571243 | − | 0.329807i | ||||
\(206\) | 2.37790 | + | 1.37288i | 0.165676 | + | 0.0956532i | ||||
\(207\) | 4.66384 | + | 8.94693i | 0.324159 | + | 0.621855i | ||||
\(208\) | −0.271478 | − | 0.156738i | −0.0188236 | − | 0.0108678i | ||||
\(209\) | −5.69494 | + | 3.22936i | −0.393927 | + | 0.223380i | ||||
\(210\) | 0.394752 | + | 8.95815i | 0.0272405 | + | 0.618171i | ||||
\(211\) | −14.2681 | + | 8.23770i | −0.982257 | + | 0.567107i | −0.902951 | − | 0.429744i | \(-0.858604\pi\) |
−0.0793065 | + | 0.996850i | \(0.525271\pi\) | |||||||
\(212\) | −10.8689 | −0.746477 | ||||||||
\(213\) | −12.0686 | − | 3.51402i | −0.826928 | − | 0.240777i | ||||
\(214\) | −3.96645 | + | 6.87009i | −0.271141 | + | 0.469630i | ||||
\(215\) | 8.81139 | − | 5.08726i | 0.600932 | − | 0.346948i | ||||
\(216\) | −3.42934 | − | 3.90380i | −0.233337 | − | 0.265620i | ||||
\(217\) | 2.01853 | + | 0.401248i | 0.137026 | + | 0.0272385i | ||||
\(218\) | −13.8708 | − | 8.00830i | −0.939448 | − | 0.542390i | ||||
\(219\) | −3.09182 | − | 12.6199i | −0.208926 | − | 0.852776i | ||||
\(220\) | −1.46945 | − | 2.54516i | −0.0990703 | − | 0.171595i | ||||
\(221\) | −0.0861458 | − | 0.149209i | −0.00579479 | − | 0.0100369i | ||||
\(222\) | −4.32274 | + | 1.05905i | −0.290123 | + | 0.0710787i | ||||
\(223\) | 15.6183 | − | 9.01722i | 1.04588 | − | 0.603838i | 0.124385 | − | 0.992234i | \(-0.460304\pi\) |
0.921492 | + | 0.388396i | \(0.126971\pi\) | |||||||
\(224\) | 1.98940 | + | 1.74422i | 0.132922 | + | 0.116540i | ||||
\(225\) | 0.151301 | − | 3.51042i | 0.0100868 | − | 0.234028i | ||||
\(226\) | −5.37956 | −0.357843 | ||||||||
\(227\) | 1.16303 | + | 2.01443i | 0.0771930 | + | 0.133702i | 0.902038 | − | 0.431657i | \(-0.142071\pi\) |
−0.824845 | + | 0.565359i | \(0.808738\pi\) | |||||||
\(228\) | 5.49260 | − | 5.17990i | 0.363756 | − | 0.343047i | ||||
\(229\) | −8.54257 | + | 14.7962i | −0.564509 | + | 0.977758i | 0.432586 | + | 0.901593i | \(0.357601\pi\) |
−0.997095 | + | 0.0761657i | \(0.975732\pi\) | |||||||
\(230\) | −3.29041 | − | 5.69916i | −0.216963 | − | 0.375792i | ||||
\(231\) | −5.80339 | + | 3.70047i | −0.381835 | + | 0.243473i | ||||
\(232\) | 1.14433 | − | 1.98204i | 0.0751290 | − | 0.130127i | ||||
\(233\) | − | 22.3373i | − | 1.46337i | −0.681645 | − | 0.731683i | \(-0.738735\pi\) | ||
0.681645 | − | 0.731683i | \(-0.261265\pi\) | |||||||
\(234\) | −0.504848 | + | 0.793431i | −0.0330029 | + | 0.0518682i | ||||
\(235\) | −9.07458 | − | 15.7176i | −0.591960 | − | 1.02531i | ||||
\(236\) | 5.30675 | − | 9.19155i | 0.345440 | − | 0.598319i | ||||
\(237\) | 6.44521 | + | 6.72899i | 0.418662 | + | 0.437095i | ||||
\(238\) | 0.467593 | + | 1.37692i | 0.0303096 | + | 0.0892525i | ||||
\(239\) | 1.32903i | 0.0859679i | 0.999076 | + | 0.0429840i | \(0.0136864\pi\) | ||||
−0.999076 | + | 0.0429840i | \(0.986314\pi\) | |||||||
\(240\) | 2.34432 | + | 2.44754i | 0.151326 | + | 0.157988i | ||||
\(241\) | 3.11193i | 0.200457i | 0.994964 | + | 0.100229i | \(0.0319574\pi\) | ||||
−0.994964 | + | 0.100229i | \(0.968043\pi\) | |||||||
\(242\) | −4.37208 | + | 7.57266i | −0.281048 | + | 0.486789i | ||||
\(243\) | −12.1435 | + | 9.77417i | −0.779009 | + | 0.627013i | ||||
\(244\) | 5.26836 | + | 9.12507i | 0.337272 | + | 0.584173i | ||||
\(245\) | −13.5795 | + | 1.79122i | −0.867559 | + | 0.114437i | ||||
\(246\) | −8.02651 | − | 2.33708i | −0.511752 | − | 0.149007i | ||||
\(247\) | −1.17801 | − | 0.692359i | −0.0749551 | − | 0.0440537i | ||||
\(248\) | 0.673645 | − | 0.388929i | 0.0427765 | − | 0.0246970i | ||||
\(249\) | −13.3504 | − | 13.9383i | −0.846050 | − | 0.883301i | ||||
\(250\) | 12.0754i | 0.763715i | ||||||||
\(251\) | 11.6792 | + | 6.74302i | 0.737187 | + | 0.425615i | 0.821046 | − | 0.570862i | \(-0.193391\pi\) |
−0.0838584 | + | 0.996478i | \(0.526724\pi\) | |||||||
\(252\) | 5.48479 | − | 5.73734i | 0.345509 | − | 0.361418i | ||||
\(253\) | 2.52566 | − | 4.37458i | 0.158787 | − | 0.275027i | ||||
\(254\) | −4.02863 | − | 2.32593i | −0.252779 | − | 0.145942i | ||||
\(255\) | 0.443251 | + | 1.80923i | 0.0277575 | + | 0.113298i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.18915 | − | 12.4520i | −0.448447 | − | 0.776733i | 0.549838 | − | 0.835271i | \(-0.314689\pi\) |
−0.998285 | + | 0.0585382i | \(0.981356\pi\) | |||||||
\(258\) | −8.64717 | − | 2.51780i | −0.538349 | − | 0.156751i | ||||
\(259\) | −2.18607 | − | 6.43731i | −0.135836 | − | 0.399995i | ||||
\(260\) | 0.306693 | − | 0.531208i | 0.0190203 | − | 0.0329441i | ||||
\(261\) | −5.79277 | − | 3.68585i | −0.358564 | − | 0.228148i | ||||
\(262\) | 7.46944i | 0.461464i | ||||||||
\(263\) | 16.5452 | + | 9.55236i | 1.02022 | + | 0.589024i | 0.914167 | − | 0.405337i | \(-0.132846\pi\) |
0.106052 | + | 0.994361i | \(0.466179\pi\) | |||||||
\(264\) | −0.727263 | + | 2.49773i | −0.0447599 | + | 0.153724i | ||||
\(265\) | − | 21.2674i | − | 1.30645i | ||||||
\(266\) | 8.61238 | + | 7.66987i | 0.528059 | + | 0.470270i | ||||
\(267\) | −8.26617 | − | 2.40686i | −0.505882 | − | 0.147298i | ||||
\(268\) | − | 0.0196594i | − | 0.00120089i | ||||||
\(269\) | 12.1012 | − | 20.9598i | 0.737820 | − | 1.27794i | −0.215655 | − | 0.976470i | \(-0.569189\pi\) |
0.953475 | − | 0.301472i | \(-0.0974781\pi\) | |||||||
\(270\) | 7.63866 | − | 6.71027i | 0.464874 | − | 0.408374i | ||||
\(271\) | 1.17805 | 0.0715614 | 0.0357807 | − | 0.999360i | \(-0.488608\pi\) | ||||
0.0357807 | + | 0.999360i | \(0.488608\pi\) | |||||||
\(272\) | 0.475982 | + | 0.274809i | 0.0288607 | + | 0.0166627i | ||||
\(273\) | −1.27448 | − | 0.662798i | −0.0771352 | − | 0.0401144i | ||||
\(274\) | 18.4646i | 1.11549i | ||||||||
\(275\) | −1.52344 | + | 0.879560i | −0.0918670 | + | 0.0530394i | ||||
\(276\) | −1.62850 | + | 5.59294i | −0.0980240 | + | 0.336656i | ||||
\(277\) | −7.82530 | − | 13.5538i | −0.470177 | − | 0.814370i | 0.529242 | − | 0.848471i | \(-0.322477\pi\) |
−0.999418 | + | 0.0341010i | \(0.989143\pi\) | |||||||
\(278\) | 9.32549 | − | 16.1522i | 0.559306 | − | 0.968746i | ||||
\(279\) | −1.07868 | − | 2.06930i | −0.0645790 | − | 0.123886i | ||||
\(280\) | −3.41295 | + | 3.89271i | −0.203963 | + | 0.232634i | ||||
\(281\) | −6.14057 | + | 10.6358i | −0.366316 | + | 0.634477i | −0.988986 | − | 0.148007i | \(-0.952714\pi\) |
0.622671 | + | 0.782484i | \(0.286048\pi\) | |||||||
\(282\) | −4.49121 | + | 15.4247i | −0.267448 | + | 0.918527i | ||||
\(283\) | 5.27388 | − | 9.13462i | 0.313499 | − | 0.542997i | −0.665618 | − | 0.746293i | \(-0.731832\pi\) |
0.979117 | + | 0.203296i | \(0.0651653\pi\) | |||||||
\(284\) | −3.62859 | − | 6.28490i | −0.215317 | − | 0.372940i | ||||
\(285\) | 10.1356 | + | 10.7475i | 0.600384 | + | 0.636627i | ||||
\(286\) | 0.470824 | 0.0278404 | ||||||||
\(287\) | 2.48971 | − | 12.5248i | 0.146963 | − | 0.739316i | ||||
\(288\) | 0.129182 | − | 2.99722i | 0.00761213 | − | 0.176613i | ||||
\(289\) | −8.34896 | − | 14.4608i | −0.491115 | − | 0.850637i | ||||
\(290\) | 3.87830 | + | 2.23914i | 0.227742 | + | 0.131487i | ||||
\(291\) | −1.12287 | + | 3.85641i | −0.0658239 | + | 0.226067i | ||||
\(292\) | 3.75080 | − | 6.49658i | 0.219499 | − | 0.380183i | ||||
\(293\) | 17.7163 | 1.03500 | 0.517499 | − | 0.855684i | \(-0.326863\pi\) | ||||
0.517499 | + | 0.855684i | \(0.326863\pi\) | |||||||
\(294\) | 9.45961 | + | 7.58391i | 0.551696 | + | 0.442303i | ||||
\(295\) | 17.9853 | + | 10.3838i | 1.04715 | + | 0.604571i | ||||
\(296\) | −2.22529 | − | 1.28477i | −0.129342 | − | 0.0746758i | ||||
\(297\) | 7.39228 | + | 2.50243i | 0.428943 | + | 0.145206i | ||||
\(298\) | 12.4115i | 0.718978i | ||||||||
\(299\) | 1.05428 | 0.0609704 | ||||||||
\(300\) | 1.46501 | − | 1.40323i | 0.0845824 | − | 0.0810154i | ||||
\(301\) | 2.68223 | − | 13.4933i | 0.154601 | − | 0.777740i | ||||
\(302\) | −1.29008 | + | 0.744830i | −0.0742360 | + | 0.0428601i | ||||
\(303\) | −2.40935 | − | 2.51543i | −0.138413 | − | 0.144508i | ||||
\(304\) | 4.35877 | + | 0.0337967i | 0.249992 | + | 0.00193837i | ||||
\(305\) | −17.8553 | + | 10.3087i | −1.02239 | + | 0.590277i | ||||
\(306\) | 0.885149 | − | 1.39112i | 0.0506006 | − | 0.0795252i | ||||
\(307\) | 19.8389 | − | 11.4540i | 1.13227 | − | 0.653714i | 0.187762 | − | 0.982215i | \(-0.439877\pi\) |
0.944504 | + | 0.328501i | \(0.106543\pi\) | |||||||
\(308\) | −3.89752 | − | 0.774760i | −0.222082 | − | 0.0441460i | ||||
\(309\) | 4.61919 | − | 1.13168i | 0.262777 | − | 0.0643789i | ||||
\(310\) | 0.761028 | + | 1.31814i | 0.0432235 | + | 0.0748652i | ||||
\(311\) | 5.09596 | − | 2.94215i | 0.288965 | − | 0.166834i | −0.348510 | − | 0.937305i | \(-0.613312\pi\) |
0.637475 | + | 0.770471i | \(0.279979\pi\) | |||||||
\(312\) | −0.527360 | + | 0.129200i | −0.0298559 | + | 0.00731453i | ||||
\(313\) | 12.8827 | + | 22.3136i | 0.728176 | + | 1.26124i | 0.957654 | + | 0.287923i | \(0.0929648\pi\) |
−0.229478 | + | 0.973314i | \(0.573702\pi\) | |||||||
\(314\) | −6.32409 | + | 10.9536i | −0.356889 | + | 0.618150i | ||||
\(315\) | 11.2264 | + | 10.7322i | 0.632536 | + | 0.604693i | ||||
\(316\) | 5.37959i | 0.302626i | ||||||||
\(317\) | −6.16700 | − | 10.6816i | −0.346373 | − | 0.599936i | 0.639229 | − | 0.769016i | \(-0.279254\pi\) |
−0.985602 | + | 0.169080i | \(0.945920\pi\) | |||||||
\(318\) | −13.5952 | + | 13.0218i | −0.762379 | + | 0.730228i | ||||
\(319\) | 3.43745i | 0.192460i | ||||||||
\(320\) | 1.95673i | 0.109384i | ||||||||
\(321\) | 3.26958 | + | 13.3455i | 0.182490 | + | 0.744873i | ||||
\(322\) | −8.72739 | − | 1.73485i | −0.486358 | − | 0.0966795i | ||||
\(323\) | 2.06541 | + | 1.21391i | 0.114922 | + | 0.0675439i | ||||
\(324\) | −8.96662 | − | 0.774374i | −0.498146 | − | 0.0430208i | ||||
\(325\) | −0.317962 | − | 0.183575i | −0.0176373 | − | 0.0101829i | ||||
\(326\) | 4.20038 | − | 7.27527i | 0.232638 | − | 0.402940i | ||||
\(327\) | −26.9447 | + | 6.60131i | −1.49004 | + | 0.365053i | ||||
\(328\) | −2.41328 | − | 4.17992i | −0.133251 | − | 0.230797i | ||||
\(329\) | −24.0691 | − | 4.78452i | −1.32697 | − | 0.263779i | ||||
\(330\) | −4.88736 | − | 1.42305i | −0.269041 | − | 0.0783366i | ||||
\(331\) | 29.1242 | + | 16.8149i | 1.60081 | + | 0.924228i | 0.991325 | + | 0.131430i | \(0.0419570\pi\) |
0.609485 | + | 0.792798i | \(0.291376\pi\) | |||||||
\(332\) | − | 11.1431i | − | 0.611560i | ||||||
\(333\) | −4.13821 | + | 6.50371i | −0.226772 | + | 0.356401i | ||||
\(334\) | 2.00846 | − | 3.47875i | 0.109898 | − | 0.190349i | ||||
\(335\) | 0.0384681 | 0.00210174 | ||||||||
\(336\) | 4.57813 | − | 0.201741i | 0.249758 | − | 0.0110059i | ||||
\(337\) | 24.8299 | − | 14.3355i | 1.35257 | − | 0.780906i | 0.363960 | − | 0.931415i | \(-0.381425\pi\) |
0.988609 | + | 0.150509i | \(0.0480912\pi\) | |||||||
\(338\) | −6.45087 | − | 11.1732i | −0.350881 | − | 0.607744i | ||||
\(339\) | −6.72895 | + | 6.44517i | −0.365466 | + | 0.350054i | ||||
\(340\) | −0.537725 | + | 0.931367i | −0.0291622 | + | 0.0505105i | ||||
\(341\) | −0.584152 | + | 1.01178i | −0.0316336 | + | 0.0547910i | ||||
\(342\) | 0.664371 | − | 13.0598i | 0.0359251 | − | 0.706194i | ||||
\(343\) | −10.2835 | + | 15.4029i | −0.555259 | + | 0.831678i | ||||
\(344\) | −2.59988 | − | 4.50313i | −0.140176 | − | 0.242793i | ||||
\(345\) | −10.9439 | − | 3.18652i | −0.589197 | − | 0.171557i | ||||
\(346\) | 12.9114 | 0.694124 | ||||||||
\(347\) | 28.4078 | + | 16.4013i | 1.52501 | + | 0.880466i | 0.999561 | + | 0.0296431i | \(0.00943709\pi\) |
0.525452 | + | 0.850823i | \(0.323896\pi\) | |||||||
\(348\) | −0.943281 | − | 3.85021i | −0.0505652 | − | 0.206393i | ||||
\(349\) | 21.2969 | 1.13999 | 0.569997 | − | 0.821646i | \(-0.306944\pi\) | ||||
0.569997 | + | 0.821646i | \(0.306944\pi\) | |||||||
\(350\) | 2.33003 | + | 2.04287i | 0.124546 | + | 0.109196i | ||||
\(351\) | 0.319116 | + | 1.59730i | 0.0170332 | + | 0.0852577i | ||||
\(352\) | −1.30073 | + | 0.750974i | −0.0693289 | + | 0.0400271i | ||||
\(353\) | −30.2002 | + | 17.4361i | −1.60740 | + | 0.928031i | −0.617446 | + | 0.786613i | \(0.711833\pi\) |
−0.989950 | + | 0.141418i | \(0.954834\pi\) | |||||||
\(354\) | −4.37440 | − | 17.8551i | −0.232497 | − | 0.948986i | ||||
\(355\) | 12.2978 | − | 7.10015i | 0.652700 | − | 0.376837i | ||||
\(356\) | −2.48533 | − | 4.30472i | −0.131722 | − | 0.228150i | ||||
\(357\) | 2.23455 | + | 1.16208i | 0.118265 | + | 0.0615040i | ||||
\(358\) | 7.29410 | + | 12.6337i | 0.385505 | + | 0.667714i | ||||
\(359\) | − | 0.162502i | − | 0.00857655i | −0.999991 | − | 0.00428827i | \(-0.998635\pi\) | ||
0.999991 | − | 0.00428827i | \(-0.00136500\pi\) | |||||||
\(360\) | 5.86473 | + | 0.252774i | 0.309099 | + | 0.0133224i | ||||
\(361\) | 18.9977 | + | 0.294624i | 0.999880 | + | 0.0155065i | ||||
\(362\) | 14.2653 | + | 8.23605i | 0.749765 | + | 0.432877i | ||||
\(363\) | 3.60394 | + | 14.7103i | 0.189158 | + | 0.772089i | ||||
\(364\) | −0.266693 | − | 0.785330i | −0.0139785 | − | 0.0411625i | ||||
\(365\) | 12.7120 | + | 7.33929i | 0.665377 | + | 0.384156i | ||||
\(366\) | 17.5225 | + | 5.10202i | 0.915914 | + | 0.266687i | ||||
\(367\) | 26.1704 | 1.36608 | 0.683041 | − | 0.730380i | \(-0.260657\pi\) | ||||
0.683041 | + | 0.730380i | \(0.260657\pi\) | |||||||
\(368\) | −2.91260 | + | 1.68159i | −0.151830 | + | 0.0876590i | ||||
\(369\) | −12.8399 | + | 6.69315i | −0.668417 | + | 0.348431i | ||||
\(370\) | 2.51395 | − | 4.35428i | 0.130694 | − | 0.226368i | ||||
\(371\) | −21.6225 | − | 18.9577i | −1.12258 | − | 0.984233i | ||||
\(372\) | 0.376649 | − | 1.29357i | 0.0195284 | − | 0.0670685i | ||||
\(373\) | −27.3424 | − | 15.7862i | −1.41574 | − | 0.817376i | −0.419816 | − | 0.907609i | \(-0.637905\pi\) |
−0.995921 | + | 0.0902333i | \(0.971239\pi\) | |||||||
\(374\) | −0.825496 | −0.0426854 | ||||||||
\(375\) | 14.4674 | + | 15.1043i | 0.747091 | + | 0.779985i | ||||
\(376\) | −8.03262 | + | 4.63764i | −0.414251 | + | 0.239168i | ||||
\(377\) | −0.621321 | + | 0.358720i | −0.0319996 | + | 0.0184750i | ||||
\(378\) | −0.0132486 | − | 13.7477i | −0.000681433 | − | 0.707106i | ||||
\(379\) | − | 31.9663i | − | 1.64200i | −0.570930 | − | 0.820998i | \(-0.693417\pi\) | ||
0.570930 | − | 0.820998i | \(-0.306583\pi\) | |||||||
\(380\) | −0.0661308 | + | 8.52891i | −0.00339244 | + | 0.437524i | ||||
\(381\) | −7.82582 | + | 1.91728i | −0.400929 | + | 0.0982254i | ||||
\(382\) | −3.39473 | − | 1.95995i | −0.173690 | − | 0.100280i | ||||
\(383\) | 27.2778 | 1.39383 | 0.696916 | − | 0.717153i | \(-0.254555\pi\) | ||||
0.696916 | + | 0.717153i | \(0.254555\pi\) | |||||||
\(384\) | 1.25084 | − | 1.19809i | 0.0638315 | − | 0.0611395i | ||||
\(385\) | 1.51599 | − | 7.62638i | 0.0772621 | − | 0.388676i | ||||
\(386\) | −14.0560 | − | 8.11521i | −0.715430 | − | 0.413054i | ||||
\(387\) | −13.8327 | + | 7.21069i | −0.703157 | + | 0.366540i | ||||
\(388\) | −2.00828 | + | 1.15948i | −0.101955 | + | 0.0588637i | ||||
\(389\) | − | 15.9491i | − | 0.808652i | −0.914615 | − | 0.404326i | \(-0.867506\pi\) | ||
0.914615 | − | 0.404326i | \(-0.132494\pi\) | |||||||
\(390\) | −0.252810 | − | 1.03190i | −0.0128015 | − | 0.0522522i | ||||
\(391\) | −1.84846 | −0.0934808 | ||||||||
\(392\) | 0.915417 | + | 6.93989i | 0.0462355 | + | 0.350517i | ||||
\(393\) | 8.94903 | + | 9.34305i | 0.451419 | + | 0.471294i | ||||
\(394\) | 11.6882i | 0.588845i | ||||||||
\(395\) | −10.5264 | −0.529640 | ||||||||
\(396\) | 2.08280 | + | 3.99557i | 0.104665 | + | 0.200785i | ||||
\(397\) | −33.3555 | −1.67407 | −0.837033 | − | 0.547152i | \(-0.815712\pi\) | ||||
−0.837033 | + | 0.547152i | \(0.815712\pi\) | |||||||
\(398\) | −9.71269 | −0.486853 | ||||||||
\(399\) | 19.9618 | − | 0.724616i | 0.999342 | − | 0.0362762i | ||||
\(400\) | 1.17123 | 0.0585613 | ||||||||
\(401\) | 21.5973 | 1.07852 | 0.539259 | − | 0.842140i | \(-0.318704\pi\) | ||||
0.539259 | + | 0.842140i | \(0.318704\pi\) | |||||||
\(402\) | −0.0235537 | − | 0.0245907i | −0.00117475 | − | 0.00122647i | ||||
\(403\) | −0.243840 | −0.0121465 | ||||||||
\(404\) | − | 2.01100i | − | 0.100051i | ||||||
\(405\) | 1.51524 | − | 17.5452i | 0.0752927 | − | 0.871829i | ||||
\(406\) | 5.73363 | − | 1.94710i | 0.284555 | − | 0.0966332i | ||||
\(407\) | 3.85932 | 0.191299 | ||||||||
\(408\) | 0.924620 | − | 0.226527i | 0.0457755 | − | 0.0112148i | ||||
\(409\) | 37.5808i | 1.85825i | 0.369765 | + | 0.929125i | \(0.379438\pi\) | ||||
−0.369765 | + | 0.929125i | \(0.620562\pi\) | |||||||
\(410\) | 8.17895 | − | 4.72212i | 0.403930 | − | 0.233209i | ||||
\(411\) | 22.1222 | + | 23.0962i | 1.09121 | + | 1.13925i | ||||
\(412\) | 2.37790 | + | 1.37288i | 0.117151 | + | 0.0676370i | ||||
\(413\) | 26.5893 | − | 9.02955i | 1.30837 | − | 0.444315i | ||||
\(414\) | 4.66384 | + | 8.94693i | 0.229215 | + | 0.439718i | ||||
\(415\) | 21.8041 | 1.07032 | ||||||||
\(416\) | −0.271478 | − | 0.156738i | −0.0133103 | − | 0.00768471i | ||||
\(417\) | −7.68708 | − | 31.3765i | −0.376438 | − | 1.53651i | ||||
\(418\) | −5.69494 | + | 3.22936i | −0.278549 | + | 0.157953i | ||||
\(419\) | 11.3105i | 0.552555i | 0.961078 | + | 0.276277i | \(0.0891009\pi\) | ||||
−0.961078 | + | 0.276277i | \(0.910899\pi\) | |||||||
\(420\) | 0.394752 | + | 8.95815i | 0.0192619 | + | 0.437113i | ||||
\(421\) | 0.322455 | − | 0.186169i | 0.0157155 | − | 0.00907334i | −0.492122 | − | 0.870526i | \(-0.663778\pi\) |
0.507837 | + | 0.861453i | \(0.330445\pi\) | |||||||
\(422\) | −14.2681 | + | 8.23770i | −0.694561 | + | 0.401005i | ||||
\(423\) | 12.8623 | + | 24.6746i | 0.625388 | + | 1.19972i | ||||
\(424\) | −10.8689 | −0.527839 | ||||||||
\(425\) | 0.557482 | + | 0.321863i | 0.0270419 | + | 0.0156126i | ||||
\(426\) | −12.0686 | − | 3.51402i | −0.584726 | − | 0.170255i | ||||
\(427\) | −5.43523 | + | 27.3426i | −0.263029 | + | 1.32320i | ||||
\(428\) | −3.96645 | + | 6.87009i | −0.191726 | + | 0.332078i | ||||
\(429\) | 0.588924 | − | 0.564088i | 0.0284335 | − | 0.0272344i | ||||
\(430\) | 8.81139 | − | 5.08726i | 0.424923 | − | 0.245329i | ||||
\(431\) | −9.42562 | −0.454016 | −0.227008 | − | 0.973893i | \(-0.572894\pi\) | ||||
−0.227008 | + | 0.973893i | \(0.572894\pi\) | |||||||
\(432\) | −3.42934 | − | 3.90380i | −0.164994 | − | 0.187822i | ||||
\(433\) | −20.0799 | − | 11.5932i | −0.964980 | − | 0.557131i | −0.0672776 | − | 0.997734i | \(-0.521431\pi\) |
−0.897702 | + | 0.440603i | \(0.854765\pi\) | |||||||
\(434\) | 2.01853 | + | 0.401248i | 0.0968923 | + | 0.0192605i | ||||
\(435\) | 7.53380 | − | 1.84574i | 0.361218 | − | 0.0884966i | ||||
\(436\) | −13.8708 | − | 8.00830i | −0.664290 | − | 0.383528i | ||||
\(437\) | −12.7522 | + | 7.23123i | −0.610020 | + | 0.345917i | ||||
\(438\) | −3.09182 | − | 12.6199i | −0.147733 | − | 0.603004i | ||||
\(439\) | − | 0.422976i | − | 0.0201875i | −0.999949 | − | 0.0100938i | \(-0.996787\pi\) | ||
0.999949 | − | 0.0100938i | \(-0.00321300\pi\) | |||||||
\(440\) | −1.46945 | − | 2.54516i | −0.0700533 | − | 0.121336i | ||||
\(441\) | 20.9186 | − | 1.84719i | 0.996124 | − | 0.0879616i | ||||
\(442\) | −0.0861458 | − | 0.149209i | −0.00409754 | − | 0.00709714i | ||||
\(443\) | 23.2671 | − | 13.4333i | 1.10546 | − | 0.638235i | 0.167807 | − | 0.985820i | \(-0.446331\pi\) |
0.937649 | + | 0.347585i | \(0.112998\pi\) | |||||||
\(444\) | −4.32274 | + | 1.05905i | −0.205148 | + | 0.0502602i | ||||
\(445\) | 8.42316 | − | 4.86312i | 0.399296 | − | 0.230534i | ||||
\(446\) | 15.6183 | − | 9.01722i | 0.739547 | − | 0.426978i | ||||
\(447\) | 14.8700 | + | 15.5247i | 0.703328 | + | 0.734295i | ||||
\(448\) | 1.98940 | + | 1.74422i | 0.0939903 | + | 0.0824065i | ||||
\(449\) | 13.5101 | 0.637581 | 0.318790 | − | 0.947825i | \(-0.396723\pi\) | ||||
0.318790 | + | 0.947825i | \(0.396723\pi\) | |||||||
\(450\) | 0.151301 | − | 3.51042i | 0.00713241 | − | 0.165483i | ||||
\(451\) | 6.27802 | + | 3.62462i | 0.295620 | + | 0.170677i | ||||
\(452\) | −5.37956 | −0.253033 | ||||||||
\(453\) | −0.721313 | + | 2.47729i | −0.0338902 | + | 0.116393i | ||||
\(454\) | 1.16303 | + | 2.01443i | 0.0545837 | + | 0.0945417i | ||||
\(455\) | 1.53668 | − | 0.521845i | 0.0720405 | − | 0.0244645i | ||||
\(456\) | 5.49260 | − | 5.17990i | 0.257214 | − | 0.242571i | ||||
\(457\) | −19.9506 | + | 34.5555i | −0.933251 | + | 1.61644i | −0.155528 | + | 0.987832i | \(0.549708\pi\) |
−0.777723 | + | 0.628607i | \(0.783626\pi\) | |||||||
\(458\) | −8.54257 | + | 14.7962i | −0.399168 | + | 0.691380i | ||||
\(459\) | −0.559507 | − | 2.80055i | −0.0261155 | − | 0.130718i | ||||
\(460\) | −3.29041 | − | 5.69916i | −0.153416 | − | 0.265725i | ||||
\(461\) | 15.6780 | − | 9.05172i | 0.730199 | − | 0.421580i | −0.0882961 | − | 0.996094i | \(-0.528142\pi\) |
0.818495 | + | 0.574514i | \(0.194809\pi\) | |||||||
\(462\) | −5.80339 | + | 3.70047i | −0.269998 | + | 0.172161i | ||||
\(463\) | −12.9235 | −0.600606 | −0.300303 | − | 0.953844i | \(-0.597088\pi\) | ||||
−0.300303 | + | 0.953844i | \(0.597088\pi\) | |||||||
\(464\) | 1.14433 | − | 1.98204i | 0.0531242 | − | 0.0920138i | ||||
\(465\) | 2.53116 | + | 0.736999i | 0.117380 | + | 0.0341775i | ||||
\(466\) | − | 22.3373i | − | 1.03476i | ||||||
\(467\) | −5.81673 | − | 3.35829i | −0.269166 | − | 0.155403i | 0.359342 | − | 0.933206i | \(-0.383001\pi\) |
−0.628509 | + | 0.777803i | \(0.716334\pi\) | |||||||
\(468\) | −0.504848 | + | 0.793431i | −0.0233366 | + | 0.0366763i | ||||
\(469\) | 0.0342903 | − | 0.0391105i | 0.00158338 | − | 0.00180595i | ||||
\(470\) | −9.07458 | − | 15.7176i | −0.418579 | − | 0.725000i | ||||
\(471\) | 5.21301 | + | 21.2780i | 0.240203 | + | 0.980440i | ||||
\(472\) | 5.30675 | − | 9.19155i | 0.244263 | − | 0.423076i | ||||
\(473\) | 6.76347 | + | 3.90489i | 0.310985 | + | 0.179547i | ||||
\(474\) | 6.44521 | + | 6.72899i | 0.296038 | + | 0.309073i | ||||
\(475\) | 5.10510 | + | 0.0395835i | 0.234238 | + | 0.00181622i | ||||
\(476\) | 0.467593 | + | 1.37692i | 0.0214321 | + | 0.0631110i | ||||
\(477\) | −1.40406 | + | 32.5764i | −0.0642877 | + | 1.49157i | ||||
\(478\) | 1.32903i | 0.0607885i | ||||||||
\(479\) | − | 16.3658i | − | 0.747772i | −0.927475 | − | 0.373886i | \(-0.878025\pi\) | ||
0.927475 | − | 0.373886i | \(-0.121975\pi\) | |||||||
\(480\) | 2.34432 | + | 2.44754i | 0.107003 | + | 0.111715i | ||||
\(481\) | 0.402745 | + | 0.697574i | 0.0183636 | + | 0.0318066i | ||||
\(482\) | 3.11193i | 0.141745i | ||||||||
\(483\) | −12.9950 | + | 8.28614i | −0.591295 | + | 0.377032i | ||||
\(484\) | −4.37208 | + | 7.57266i | −0.198731 | + | 0.344212i | ||||
\(485\) | −2.26879 | − | 3.92965i | −0.103020 | − | 0.178436i | ||||
\(486\) | −12.1435 | + | 9.77417i | −0.550842 | + | 0.443365i | ||||
\(487\) | −21.2291 | + | 12.2567i | −0.961984 | + | 0.555402i | −0.896783 | − | 0.442470i | \(-0.854102\pi\) |
−0.0652012 | + | 0.997872i | \(0.520769\pi\) | |||||||
\(488\) | 5.26836 | + | 9.12507i | 0.238488 | + | 0.413073i | ||||
\(489\) | −3.46241 | − | 14.1326i | −0.156576 | − | 0.639098i | ||||
\(490\) | −13.5795 | + | 1.79122i | −0.613457 | + | 0.0809191i | ||||
\(491\) | 28.4824 | − | 16.4443i | 1.28539 | − | 0.742121i | 0.307563 | − | 0.951528i | \(-0.400486\pi\) |
0.977829 | + | 0.209406i | \(0.0671531\pi\) | |||||||
\(492\) | −8.02651 | − | 2.33708i | −0.361863 | − | 0.105364i | ||||
\(493\) | 1.08936 | − | 0.628943i | 0.0490624 | − | 0.0283262i | ||||
\(494\) | −1.17801 | − | 0.692359i | −0.0530013 | − | 0.0311507i | ||||
\(495\) | −7.81823 | + | 4.07547i | −0.351403 | + | 0.183179i | ||||
\(496\) | 0.673645 | − | 0.388929i | 0.0302476 | − | 0.0174634i | ||||
\(497\) | 3.74351 | − | 18.8322i | 0.167920 | − | 0.844740i | ||||
\(498\) | −13.3504 | − | 13.9383i | −0.598248 | − | 0.624588i | ||||
\(499\) | −0.387635 | −0.0173529 | −0.00867645 | − | 0.999962i | \(-0.502762\pi\) | ||||
−0.00867645 | + | 0.999962i | \(0.502762\pi\) | |||||||
\(500\) | 12.0754i | 0.540028i | ||||||||
\(501\) | −1.65559 | − | 6.75765i | −0.0739662 | − | 0.301909i | ||||
\(502\) | 11.6792 | + | 6.74302i | 0.521270 | + | 0.300956i | ||||
\(503\) | 8.62901 | + | 4.98196i | 0.384749 | + | 0.222135i | 0.679882 | − | 0.733321i | \(-0.262031\pi\) |
−0.295134 | + | 0.955456i | \(0.595364\pi\) | |||||||
\(504\) | 5.48479 | − | 5.73734i | 0.244312 | − | 0.255561i | ||||
\(505\) | 3.93497 | 0.175104 | ||||||||
\(506\) | 2.52566 | − | 4.37458i | 0.112279 | − | 0.194474i | ||||
\(507\) | −21.4555 | − | 6.24719i | −0.952870 | − | 0.277447i | ||||
\(508\) | −4.02863 | − | 2.32593i | −0.178741 | − | 0.103196i | ||||
\(509\) | 17.8665 | + | 30.9457i | 0.791920 | + | 1.37165i | 0.924777 | + | 0.380510i | \(0.124252\pi\) |
−0.132857 | + | 0.991135i | \(0.542415\pi\) | |||||||
\(510\) | 0.443251 | + | 1.80923i | 0.0196275 | + | 0.0801139i | ||||
\(511\) | 18.7933 | − | 6.38207i | 0.831365 | − | 0.282326i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −14.8157 | − | 17.1317i | −0.654131 | − | 0.756381i | ||||
\(514\) | −7.18915 | − | 12.4520i | −0.317100 | − | 0.549233i | ||||
\(515\) | −2.68635 | + | 4.65290i | −0.118375 | + | 0.205031i | ||||
\(516\) | −8.64717 | − | 2.51780i | −0.380670 | − | 0.110840i | ||||
\(517\) | 6.96549 | − | 12.0646i | 0.306342 | − | 0.530600i | ||||
\(518\) | −2.18607 | − | 6.43731i | −0.0960503 | − | 0.282839i | ||||
\(519\) | 16.1501 | − | 15.4690i | 0.708911 | − | 0.679015i | ||||
\(520\) | 0.306693 | − | 0.531208i | 0.0134494 | − | 0.0232950i | ||||
\(521\) | −20.7756 | − | 35.9843i | −0.910193 | − | 1.57650i | −0.813790 | − | 0.581159i | \(-0.802599\pi\) |
−0.0964033 | − | 0.995342i | \(-0.530734\pi\) | |||||||
\(522\) | −5.79277 | − | 3.68585i | −0.253543 | − | 0.161325i | ||||
\(523\) | 6.35263 | − | 3.66769i | 0.277781 | − | 0.160377i | −0.354637 | − | 0.935004i | \(-0.615396\pi\) |
0.632418 | + | 0.774627i | \(0.282062\pi\) | |||||||
\(524\) | 7.46944i | 0.326304i | ||||||||
\(525\) | 5.36202 | − | 0.236284i | 0.234018 | − | 0.0103123i | ||||
\(526\) | 16.5452 | + | 9.55236i | 0.721404 | + | 0.416503i | ||||
\(527\) | 0.427524 | 0.0186232 | ||||||||
\(528\) | −0.727263 | + | 2.49773i | −0.0316501 | + | 0.108700i | ||||
\(529\) | −5.84450 | + | 10.1230i | −0.254109 | + | 0.440129i | ||||
\(530\) | − | 21.2674i | − | 0.923796i | ||||||
\(531\) | −26.8635 | − | 17.0929i | −1.16578 | − | 0.741767i | ||||
\(532\) | 8.61238 | + | 7.66987i | 0.373394 | + | 0.332531i | ||||
\(533\) | 1.51301i | 0.0655356i | ||||||||
\(534\) | −8.26617 | − | 2.40686i | −0.357712 | − | 0.104155i | ||||
\(535\) | −13.4429 | − | 7.76125i | −0.581187 | − | 0.335548i | ||||
\(536\) | − | 0.0196594i | − | 0.000849159i | ||||||
\(537\) | 24.2600 | + | 7.06380i | 1.04690 | + | 0.304825i | ||||
\(538\) | 12.1012 | − | 20.9598i | 0.521718 | − | 0.903642i | ||||
\(539\) | −6.40238 | − | 8.33943i | −0.275770 | − | 0.359205i | ||||
\(540\) | 7.63866 | − | 6.71027i | 0.328716 | − | 0.288764i | ||||
\(541\) | 15.5065 | + | 26.8580i | 0.666676 | + | 1.15472i | 0.978828 | + | 0.204684i | \(0.0656167\pi\) |
−0.312152 | + | 0.950032i | \(0.601050\pi\) | |||||||
\(542\) | 1.17805 | 0.0506016 | ||||||||
\(543\) | 27.7110 | − | 6.78905i | 1.18919 | − | 0.291346i | ||||
\(544\) | 0.475982 | + | 0.274809i | 0.0204076 | + | 0.0117823i | ||||
\(545\) | 15.6700 | − | 27.1413i | 0.671231 | − | 1.16261i | ||||
\(546\) | −1.27448 | − | 0.662798i | −0.0545428 | − | 0.0283652i | ||||
\(547\) | −10.3141 | − | 5.95487i | −0.441001 | − | 0.254612i | 0.263021 | − | 0.964790i | \(-0.415281\pi\) |
−0.704022 | + | 0.710178i | \(0.748614\pi\) | |||||||
\(548\) | 18.4646i | 0.788769i | ||||||||
\(549\) | 28.0304 | − | 14.6116i | 1.19631 | − | 0.623609i | ||||
\(550\) | −1.52344 | + | 0.879560i | −0.0649598 | + | 0.0375046i | ||||
\(551\) | 5.05486 | − | 8.60057i | 0.215344 | − | 0.366397i | ||||
\(552\) | −1.62850 | + | 5.59294i | −0.0693135 | + | 0.238051i | ||||
\(553\) | −9.38318 | + | 10.7022i | −0.399013 | + | 0.455102i | ||||
\(554\) | −7.82530 | − | 13.5538i | −0.332465 | − | 0.575847i | ||||
\(555\) | −2.07227 | − | 8.45841i | −0.0879628 | − | 0.359040i | ||||
\(556\) | 9.32549 | − | 16.1522i | 0.395489 | − | 0.685007i | ||||
\(557\) | − | 18.9415i | − | 0.802576i | −0.915952 | − | 0.401288i | \(-0.868563\pi\) | ||
0.915952 | − | 0.401288i | \(-0.131437\pi\) | |||||||
\(558\) | −1.07868 | − | 2.06930i | −0.0456643 | − | 0.0876006i | ||||
\(559\) | 1.63000i | 0.0689417i | ||||||||
\(560\) | −3.41295 | + | 3.89271i | −0.144224 | + | 0.164497i | ||||
\(561\) | −1.03256 | + | 0.989015i | −0.0435947 | + | 0.0417563i | ||||
\(562\) | −6.14057 | + | 10.6358i | −0.259024 | + | 0.448643i | ||||
\(563\) | 6.55163 | + | 11.3478i | 0.276118 | + | 0.478251i | 0.970417 | − | 0.241436i | \(-0.0776185\pi\) |
−0.694298 | + | 0.719687i | \(0.744285\pi\) | |||||||
\(564\) | −4.49121 | + | 15.4247i | −0.189114 | + | 0.649497i | ||||
\(565\) | − | 10.5263i | − | 0.442846i | ||||||
\(566\) | 5.27388 | − | 9.13462i | 0.221678 | − | 0.383957i | ||||
\(567\) | −16.4875 | − | 17.1803i | −0.692411 | − | 0.721504i | ||||
\(568\) | −3.62859 | − | 6.28490i | −0.152252 | − | 0.263708i | ||||
\(569\) | 0.848340 | − | 1.46937i | 0.0355643 | − | 0.0615991i | −0.847695 | − | 0.530483i | \(-0.822010\pi\) |
0.883260 | + | 0.468884i | \(0.155344\pi\) | |||||||
\(570\) | 10.1356 | + | 10.7475i | 0.424536 | + | 0.450163i | ||||
\(571\) | −6.96161 | − | 12.0579i | −0.291334 | − | 0.504606i | 0.682791 | − | 0.730614i | \(-0.260766\pi\) |
−0.974126 | + | 0.226008i | \(0.927433\pi\) | |||||||
\(572\) | 0.470824 | 0.0196862 | ||||||||
\(573\) | −6.59444 | + | 1.61560i | −0.275487 | + | 0.0674928i | ||||
\(574\) | 2.48971 | − | 12.5248i | 0.103919 | − | 0.522775i | ||||
\(575\) | −3.41131 | + | 1.96952i | −0.142262 | + | 0.0821348i | ||||
\(576\) | 0.129182 | − | 2.99722i | 0.00538259 | − | 0.124884i | ||||
\(577\) | 4.56240 | + | 7.90232i | 0.189935 | + | 0.328978i | 0.945228 | − | 0.326409i | \(-0.105839\pi\) |
−0.755293 | + | 0.655387i | \(0.772505\pi\) | |||||||
\(578\) | −8.34896 | − | 14.4608i | −0.347271 | − | 0.601491i | ||||
\(579\) | −27.3044 | + | 6.68944i | −1.13473 | + | 0.278004i | ||||
\(580\) | 3.87830 | + | 2.23914i | 0.161038 | + | 0.0929752i | ||||
\(581\) | 19.4361 | − | 22.1682i | 0.806344 | − | 0.919690i | ||||
\(582\) | −1.12287 | + | 3.85641i | −0.0465445 | + | 0.159853i | ||||
\(583\) | 14.1374 | − | 8.16224i | 0.585512 | − | 0.338045i | ||||
\(584\) | 3.75080 | − | 6.49658i | 0.155209 | − | 0.268830i | ||||
\(585\) | −1.55253 | − | 0.987848i | −0.0641890 | − | 0.0408425i | ||||
\(586\) | 17.7163 | 0.731854 | ||||||||
\(587\) | −34.1873 | + | 19.7380i | −1.41106 | + | 0.814675i | −0.995488 | − | 0.0948856i | \(-0.969751\pi\) |
−0.415571 | + | 0.909561i | \(0.636418\pi\) | |||||||
\(588\) | 9.45961 | + | 7.58391i | 0.390108 | + | 0.312755i | ||||
\(589\) | 2.94941 | − | 1.67249i | 0.121528 | − | 0.0689136i | ||||
\(590\) | 17.9853 | + | 10.3838i | 0.740445 | + | 0.427496i | ||||
\(591\) | 14.0035 | + | 14.6201i | 0.576027 | + | 0.601389i | ||||
\(592\) | −2.22529 | − | 1.28477i | −0.0914588 | − | 0.0528038i | ||||
\(593\) | −3.21034 | + | 1.85349i | −0.131833 | + | 0.0761137i | −0.564466 | − | 0.825456i | \(-0.690918\pi\) |
0.432633 | + | 0.901570i | \(0.357585\pi\) | |||||||
\(594\) | 7.39228 | + | 2.50243i | 0.303309 | + | 0.102676i | ||||
\(595\) | −2.69425 | + | 0.914952i | −0.110454 | + | 0.0375094i | ||||
\(596\) | 12.4115i | 0.508394i | ||||||||
\(597\) | −12.1490 | + | 11.6366i | −0.497225 | + | 0.476256i | ||||
\(598\) | 1.05428 | 0.0431126 | ||||||||
\(599\) | 24.3438 | 0.994659 | 0.497330 | − | 0.867562i | \(-0.334314\pi\) | ||||
0.497330 | + | 0.867562i | \(0.334314\pi\) | |||||||
\(600\) | 1.46501 | − | 1.40323i | 0.0598088 | − | 0.0572865i | ||||
\(601\) | 27.1999i | 1.10951i | 0.832015 | + | 0.554754i | \(0.187188\pi\) | ||||
−0.832015 | + | 0.554754i | \(0.812812\pi\) | |||||||
\(602\) | 2.68223 | − | 13.4933i | 0.109320 | − | 0.549945i | ||||
\(603\) | −0.0589236 | − | 0.00253965i | −0.00239956 | − | 0.000103423i | ||||
\(604\) | −1.29008 | + | 0.744830i | −0.0524927 | + | 0.0303067i | ||||
\(605\) | −14.8176 | − | 8.55495i | −0.602422 | − | 0.347808i | ||||
\(606\) | −2.40935 | − | 2.51543i | −0.0978730 | − | 0.102182i | ||||
\(607\) | −22.0425 | − | 12.7262i | −0.894677 | − | 0.516542i | −0.0192075 | − | 0.999816i | \(-0.506114\pi\) |
−0.875469 | + | 0.483274i | \(0.839448\pi\) | |||||||
\(608\) | 4.35877 | + | 0.0337967i | 0.176771 | + | 0.00137064i | ||||
\(609\) | 4.83904 | − | 9.30489i | 0.196088 | − | 0.377053i | ||||
\(610\) | −17.8553 | + | 10.3087i | −0.722938 | + | 0.417389i | ||||
\(611\) | 2.90757 | 0.117628 | ||||||||
\(612\) | 0.885149 | − | 1.39112i | 0.0357800 | − | 0.0562328i | ||||
\(613\) | −4.91744 | + | 8.51725i | −0.198613 | + | 0.344009i | −0.948079 | − | 0.318035i | \(-0.896977\pi\) |
0.749466 | + | 0.662043i | \(0.230310\pi\) | |||||||
\(614\) | 19.8389 | − | 11.4540i | 0.800633 | − | 0.462245i | ||||
\(615\) | 4.57303 | − | 15.7057i | 0.184402 | − | 0.633314i | ||||
\(616\) | −3.89752 | − | 0.774760i | −0.157036 | − | 0.0312160i | ||||
\(617\) | −2.42194 | − | 1.39831i | −0.0975035 | − | 0.0562937i | 0.450455 | − | 0.892799i | \(-0.351262\pi\) |
−0.547959 | + | 0.836505i | \(0.684595\pi\) | |||||||
\(618\) | 4.61919 | − | 1.13168i | 0.185811 | − | 0.0455228i | ||||
\(619\) | −12.8156 | − | 22.1972i | −0.515101 | − | 0.892181i | −0.999846 | − | 0.0175258i | \(-0.994421\pi\) |
0.484745 | − | 0.874655i | \(-0.338912\pi\) | |||||||
\(620\) | 0.761028 | + | 1.31814i | 0.0305636 | + | 0.0529377i | ||||
\(621\) | 16.5529 | + | 5.60347i | 0.664245 | + | 0.224859i | ||||
\(622\) | 5.09596 | − | 2.94215i | 0.204329 | − | 0.117970i | ||||
\(623\) | 2.56405 | − | 12.8988i | 0.102727 | − | 0.516778i | ||||
\(624\) | −0.527360 | + | 0.129200i | −0.0211113 | + | 0.00517216i | ||||
\(625\) | −17.7721 | −0.710884 | ||||||||
\(626\) | 12.8827 | + | 22.3136i | 0.514898 | + | 0.891829i | ||||
\(627\) | −3.25439 | + | 10.8624i | −0.129968 | + | 0.433804i | ||||
\(628\) | −6.32409 | + | 10.9536i | −0.252359 | + | 0.437098i | ||||
\(629\) | −0.706132 | − | 1.22306i | −0.0281553 | − | 0.0487665i | ||||
\(630\) | 11.2264 | + | 10.7322i | 0.447270 | + | 0.427582i | ||||
\(631\) | −8.27255 | + | 14.3285i | −0.329325 | + | 0.570408i | −0.982378 | − | 0.186904i | \(-0.940155\pi\) |
0.653053 | + | 0.757312i | \(0.273488\pi\) | |||||||
\(632\) | 5.37959i | 0.213989i | ||||||||
\(633\) | −7.97760 | + | 27.3984i | −0.317081 | + | 1.08899i | ||||
\(634\) | −6.16700 | − | 10.6816i | −0.244923 | − | 0.424219i | ||||
\(635\) | 4.55121 | − | 7.88292i | 0.180609 | − | 0.312824i | ||||
\(636\) | −13.5952 | + | 13.0218i | −0.539084 | + | 0.516349i | ||||
\(637\) | 0.839227 | − | 2.02751i | 0.0332514 | − | 0.0803327i | ||||
\(638\) | 3.43745i | 0.136090i | ||||||||
\(639\) | −19.3059 | + | 10.0638i | −0.763732 | + | 0.398116i | ||||
\(640\) | 1.95673i | 0.0773464i | ||||||||
\(641\) | −15.4495 | + | 26.7593i | −0.610218 | + | 1.05693i | 0.380985 | + | 0.924581i | \(0.375585\pi\) |
−0.991203 | + | 0.132348i | \(0.957749\pi\) | |||||||
\(642\) | 3.26958 | + | 13.3455i | 0.129040 | + | 0.526705i | ||||
\(643\) | 15.6022 | + | 27.0237i | 0.615289 | + | 1.06571i | 0.990334 | + | 0.138706i | \(0.0442942\pi\) |
−0.375044 | + | 0.927007i | \(0.622372\pi\) | |||||||
\(644\) | −8.72739 | − | 1.73485i | −0.343907 | − | 0.0683628i | ||||
\(645\) | 4.92664 | − | 16.9201i | 0.193986 | − | 0.666229i | ||||
\(646\) | 2.06541 | + | 1.21391i | 0.0812624 | + | 0.0477608i | ||||
\(647\) | −4.74683 | + | 2.74059i | −0.186617 | + | 0.107744i | −0.590398 | − | 0.807112i | \(-0.701029\pi\) |
0.403781 | + | 0.914856i | \(0.367696\pi\) | |||||||
\(648\) | −8.96662 | − | 0.774374i | −0.352242 | − | 0.0304203i | ||||
\(649\) | 15.9409i | 0.625736i | ||||||||
\(650\) | −0.317962 | − | 0.183575i | −0.0124715 | − | 0.00720042i | ||||
\(651\) | 3.00557 | − | 1.91647i | 0.117798 | − | 0.0751124i | ||||
\(652\) | 4.20038 | − | 7.27527i | 0.164500 | − | 0.284922i | ||||
\(653\) | 21.1965 | + | 12.2378i | 0.829485 | + | 0.478903i | 0.853676 | − | 0.520804i | \(-0.174368\pi\) |
−0.0241916 | + | 0.999707i | \(0.507701\pi\) | |||||||
\(654\) | −26.9447 | + | 6.60131i | −1.05362 | + | 0.258132i | ||||
\(655\) | −14.6157 | −0.571081 | ||||||||
\(656\) | −2.41328 | − | 4.17992i | −0.0942226 | − | 0.163198i | ||||
\(657\) | −18.9871 | − | 12.0812i | −0.740758 | − | 0.471333i | ||||
\(658\) | −24.0691 | − | 4.78452i | −0.938312 | − | 0.186520i | ||||
\(659\) | −12.4497 | + | 21.5636i | −0.484973 | + | 0.839997i | −0.999851 | − | 0.0172661i | \(-0.994504\pi\) |
0.514878 | + | 0.857263i | \(0.327837\pi\) | |||||||
\(660\) | −4.88736 | − | 1.42305i | −0.190240 | − | 0.0553923i | ||||
\(661\) | 4.94347i | 0.192279i | 0.995368 | + | 0.0961393i | \(0.0306494\pi\) | ||||
−0.995368 | + | 0.0961393i | \(0.969351\pi\) | |||||||
\(662\) | 29.1242 | + | 16.8149i | 1.13194 | + | 0.653528i | ||||
\(663\) | −0.286519 | − | 0.0834258i | −0.0111275 | − | 0.00323999i | ||||
\(664\) | − | 11.1431i | − | 0.432438i | ||||||
\(665\) | −15.0078 | + | 16.8521i | −0.581979 | + | 0.653495i | ||||
\(666\) | −4.13821 | + | 6.50371i | −0.160352 | + | 0.252014i | ||||
\(667\) | 7.69718i | 0.298036i | ||||||||
\(668\) | 2.00846 | − | 3.47875i | 0.0777095 | − | 0.134597i | ||||
\(669\) | 8.73251 | − | 29.9911i | 0.337618 | − | 1.15952i | ||||
\(670\) | 0.0384681 | 0.00148615 | ||||||||
\(671\) | −13.7054 | − | 7.91281i | −0.529090 | − | 0.305471i | ||||
\(672\) | 4.57813 | − | 0.201741i | 0.176605 | − | 0.00778233i | ||||
\(673\) | 28.1006i | 1.08320i | 0.840637 | + | 0.541599i | \(0.182181\pi\) | ||||
−0.840637 | + | 0.541599i | \(0.817819\pi\) | |||||||
\(674\) | 24.8299 | − | 14.3355i | 0.956410 | − | 0.552184i | ||||
\(675\) | −4.01653 | − | 4.57223i | −0.154596 | − | 0.175985i | ||||
\(676\) | −6.45087 | − | 11.1732i | −0.248110 | − | 0.429740i | ||||
\(677\) | −11.7861 | + | 20.4141i | −0.452975 | + | 0.784576i | −0.998569 | − | 0.0534736i | \(-0.982971\pi\) |
0.545594 | + | 0.838050i | \(0.316304\pi\) | |||||||
\(678\) | −6.72895 | + | 6.44517i | −0.258424 | + | 0.247525i | ||||
\(679\) | −6.01765 | − | 1.19620i | −0.230936 | − | 0.0459061i | ||||
\(680\) | −0.537725 | + | 0.931367i | −0.0206208 | + | 0.0357163i | ||||
\(681\) | 3.86821 | + | 1.12631i | 0.148230 | + | 0.0431602i | ||||
\(682\) | −0.584152 | + | 1.01178i | −0.0223683 | + | 0.0387431i | ||||
\(683\) | 4.70790 | + | 8.15433i | 0.180143 | + | 0.312017i | 0.941929 | − | 0.335812i | \(-0.109011\pi\) |
−0.761786 | + | 0.647829i | \(0.775677\pi\) | |||||||
\(684\) | 0.664371 | − | 13.0598i | 0.0254029 | − | 0.499354i | ||||
\(685\) | −36.1302 | −1.38046 | ||||||||
\(686\) | −10.2835 | + | 15.4029i | −0.392627 | + | 0.588085i | ||||
\(687\) | 7.04172 | + | 28.7423i | 0.268658 | + | 1.09659i | ||||
\(688\) | −2.59988 | − | 4.50313i | −0.0991196 | − | 0.171680i | ||||
\(689\) | 2.95066 | + | 1.70356i | 0.112411 | + | 0.0649006i | ||||
\(690\) | −10.9439 | − | 3.18652i | −0.416625 | − | 0.121309i | ||||
\(691\) | 17.0115 | − | 29.4647i | 0.647147 | − | 1.12089i | −0.336655 | − | 0.941628i | \(-0.609295\pi\) |
0.983801 | − | 0.179263i | \(-0.0573712\pi\) | |||||||
\(692\) | 12.9114 | 0.490820 | ||||||||
\(693\) | −2.82561 | + | 11.5816i | −0.107336 | + | 0.439950i | ||||
\(694\) | 28.4078 | + | 16.4013i | 1.07835 | + | 0.622584i | ||||
\(695\) | 31.6055 | + | 18.2474i | 1.19886 | + | 0.692164i | ||||
\(696\) | −0.943281 | − | 3.85021i | −0.0357550 | − | 0.145942i | ||||
\(697\) | − | 2.65276i | − | 0.100480i | ||||||
\(698\) | 21.2969 | 0.806098 | ||||||||
\(699\) | −26.7620 | − | 27.9403i | −1.01223 | − | 1.05680i | ||||
\(700\) | 2.33003 | + | 2.04287i | 0.0880670 | + | 0.0772132i | ||||
\(701\) | −15.7654 | + | 9.10213i | −0.595449 | + | 0.343783i | −0.767249 | − | 0.641349i | \(-0.778375\pi\) |
0.171800 | + | 0.985132i | \(0.445042\pi\) | |||||||
\(702\) | 0.319116 | + | 1.59730i | 0.0120443 | + | 0.0602863i | ||||
\(703\) | −9.65610 | − | 5.67523i | −0.364187 | − | 0.214045i | ||||
\(704\) | −1.30073 | + | 0.750974i | −0.0490229 | + | 0.0283034i | ||||
\(705\) | −30.1819 | − | 8.78806i | −1.13672 | − | 0.330978i | ||||
\(706\) | −30.2002 | + | 17.4361i | −1.13660 | + | 0.656217i | ||||
\(707\) | 3.50761 | − | 4.00067i | 0.131917 | − | 0.150461i | ||||
\(708\) | −4.37440 | − | 17.8551i | −0.164400 | − | 0.671034i | ||||
\(709\) | 0.796188 | + | 1.37904i | 0.0299015 | + | 0.0517908i | 0.880589 | − | 0.473881i | \(-0.157147\pi\) |
−0.850687 | + | 0.525672i | \(0.823814\pi\) | |||||||
\(710\) | 12.2978 | − | 7.10015i | 0.461529 | − | 0.266464i | ||||
\(711\) | 16.1238 | + | 0.694948i | 0.604690 | + | 0.0260626i | ||||
\(712\) | −2.48533 | − | 4.30472i | −0.0931418 | − | 0.161326i | ||||
\(713\) | −1.30804 | + | 2.26559i | −0.0489865 | + | 0.0848471i | ||||
\(714\) | 2.23455 | + | 1.16208i | 0.0836259 | + | 0.0434899i | ||||
\(715\) | 0.921274i | 0.0344537i | ||||||||
\(716\) | 7.29410 | + | 12.6337i | 0.272593 | + | 0.472145i | ||||
\(717\) | 1.59229 | + | 1.66240i | 0.0594653 | + | 0.0620835i | ||||
\(718\) | − | 0.162502i | − | 0.00606453i | ||||||
\(719\) | − | 37.3842i | − | 1.39419i | −0.716976 | − | 0.697097i | \(-0.754475\pi\) | ||
0.716976 | − | 0.697097i | \(-0.245525\pi\) | |||||||
\(720\) | 5.86473 | + | 0.252774i | 0.218566 | + | 0.00942033i | ||||
\(721\) | 2.33599 | + | 6.87878i | 0.0869968 | + | 0.256179i | ||||
\(722\) | 18.9977 | + | 0.294624i | 0.707022 | + | 0.0109648i | ||||
\(723\) | 3.72836 | + | 3.89252i | 0.138659 | + | 0.144764i | ||||
\(724\) | 14.2653 | + | 8.23605i | 0.530164 | + | 0.306090i | ||||
\(725\) | 1.34027 | − | 2.32141i | 0.0497763 | − | 0.0862151i | ||||
\(726\) | 3.60394 | + | 14.7103i | 0.133755 | + | 0.545949i | ||||
\(727\) | 13.5347 | + | 23.4428i | 0.501975 | + | 0.869447i | 0.999997 | + | 0.00228239i | \(0.000726509\pi\) |
−0.498022 | + | 0.867164i | \(0.665940\pi\) | |||||||
\(728\) | −0.266693 | − | 0.785330i | −0.00988431 | − | 0.0291063i | ||||
\(729\) | −3.47929 | + | 26.7749i | −0.128863 | + | 0.991662i | ||||
\(730\) | 12.7120 | + | 7.33929i | 0.470493 | + | 0.271639i | ||||
\(731\) | − | 2.85788i | − | 0.105703i | ||||||
\(732\) | 17.5225 | + | 5.10202i | 0.647649 | + | 0.188576i | ||||
\(733\) | −7.71438 | + | 13.3617i | −0.284937 | + | 0.493526i | −0.972594 | − | 0.232510i | \(-0.925306\pi\) |
0.687657 | + | 0.726036i | \(0.258639\pi\) | |||||||
\(734\) | 26.1704 | 0.965967 | ||||||||
\(735\) | −14.8396 | + | 18.5099i | −0.547368 | + | 0.682747i | ||||
\(736\) | −2.91260 | + | 1.68159i | −0.107360 | + | 0.0619843i | ||||
\(737\) | 0.0147637 | + | 0.0255715i | 0.000543829 | + | 0.000941940i | ||||
\(738\) | −12.8399 | + | 6.69315i | −0.472642 | + | 0.246378i | ||||
\(739\) | −0.846179 | + | 1.46562i | −0.0311272 | + | 0.0539139i | −0.881169 | − | 0.472801i | \(-0.843243\pi\) |
0.850042 | + | 0.526715i | \(0.176576\pi\) | |||||||
\(740\) | 2.51395 | − | 4.35428i | 0.0924145 | − | 0.160067i | ||||
\(741\) | −2.30301 | + | 0.545332i | −0.0846030 | + | 0.0200333i | ||||
\(742\) | −21.6225 | − | 18.9577i | −0.793787 | − | 0.695957i | ||||
\(743\) | −3.56739 | − | 6.17890i | −0.130875 | − | 0.226682i | 0.793139 | − | 0.609040i | \(-0.208445\pi\) |
−0.924014 | + | 0.382359i | \(0.875112\pi\) | |||||||
\(744\) | 0.376649 | − | 1.29357i | 0.0138086 | − | 0.0474246i | ||||
\(745\) | −24.2859 | −0.889765 | ||||||||
\(746\) | −27.3424 | − | 15.7862i | −1.00108 | − | 0.577972i | ||||
\(747\) | −33.3984 | − | 1.43950i | −1.22198 | − | 0.0526684i | ||||
\(748\) | −0.825496 | −0.0301831 | ||||||||
\(749\) | −19.8738 | + | 6.74901i | −0.726172 | + | 0.246603i | ||||
\(750\) | 14.4674 | + | 15.1043i | 0.528273 | + | 0.551532i | ||||
\(751\) | 45.2485 | − | 26.1243i | 1.65114 | − | 0.953288i | 0.674540 | − | 0.738239i | \(-0.264342\pi\) |
0.976603 | − | 0.215049i | \(-0.0689912\pi\) | |||||||
\(752\) | −8.03262 | + | 4.63764i | −0.292920 | + | 0.169117i | ||||
\(753\) | 22.6875 | − | 5.55833i | 0.826780 | − | 0.202557i | ||||
\(754\) | −0.621321 | + | 0.358720i | −0.0226272 | + | 0.0130638i | ||||
\(755\) | −1.45743 | − | 2.52434i | −0.0530412 | − | 0.0918701i | ||||
\(756\) | −0.0132486 | − | 13.7477i | −0.000481846 | − | 0.500000i | ||||
\(757\) | −18.4898 | − | 32.0253i | −0.672023 | − | 1.16398i | −0.977330 | − | 0.211724i | \(-0.932092\pi\) |
0.305307 | − | 0.952254i | \(-0.401241\pi\) | |||||||
\(758\) | − | 31.9663i | − | 1.16107i | ||||||
\(759\) | −2.08193 | − | 8.49784i | −0.0755692 | − | 0.308452i | ||||
\(760\) | −0.0661308 | + | 8.52891i | −0.00239882 | + | 0.309376i | ||||
\(761\) | −35.8953 | − | 20.7241i | −1.30120 | − | 0.751250i | −0.320592 | − | 0.947217i | \(-0.603882\pi\) |
−0.980610 | + | 0.195967i | \(0.937215\pi\) | |||||||
\(762\) | −7.82582 | + | 1.91728i | −0.283499 | + | 0.0694559i | ||||
\(763\) | −13.6263 | − | 40.1253i | −0.493305 | − | 1.45263i | ||||
\(764\) | −3.39473 | − | 1.95995i | −0.122817 | − | 0.0709085i | ||||
\(765\) | 2.72204 | + | 1.73199i | 0.0984157 | + | 0.0626204i | ||||
\(766\) | 27.2778 | 0.985588 | ||||||||
\(767\) | −2.88133 | + | 1.66354i | −0.104039 | + | 0.0600668i | ||||
\(768\) | 1.25084 | − | 1.19809i | 0.0451357 | − | 0.0432322i | ||||
\(769\) | −12.0411 | + | 20.8558i | −0.434213 | + | 0.752079i | −0.997231 | − | 0.0743659i | \(-0.976307\pi\) |
0.563018 | + | 0.826444i | \(0.309640\pi\) | |||||||
\(770\) | 1.51599 | − | 7.62638i | 0.0546326 | − | 0.274836i | ||||
\(771\) | −23.9110 | − | 6.96216i | −0.861133 | − | 0.250736i | ||||
\(772\) | −14.0560 | − | 8.11521i | −0.505885 | − | 0.292073i | ||||
\(773\) | −17.8425 | −0.641749 | −0.320875 | − | 0.947122i | \(-0.603977\pi\) | ||||
−0.320875 | + | 0.947122i | \(0.603977\pi\) | |||||||
\(774\) | −13.8327 | + | 7.21069i | −0.497207 | + | 0.259183i | ||||
\(775\) | 0.788990 | − | 0.455524i | 0.0283414 | − | 0.0163629i | ||||
\(776\) | −2.00828 | + | 1.15948i | −0.0720930 | + | 0.0416229i | ||||
\(777\) | −10.4469 | − | 5.43292i | −0.374779 | − | 0.194905i | ||||
\(778\) | − | 15.9491i | − | 0.571803i | ||||||
\(779\) | −10.3776 | − | 18.3009i | −0.371818 | − | 0.655696i | ||||
\(780\) | −0.252810 | − | 1.03190i | −0.00905204 | − | 0.0369479i | ||||
\(781\) | 9.43959 | + | 5.44995i | 0.337775 | + | 0.195015i | ||||
\(782\) | −1.84846 | −0.0661009 | ||||||||
\(783\) | −11.6618 | + | 2.32984i | −0.416758 | + | 0.0832617i | ||||
\(784\) | 0.915417 | + | 6.93989i | 0.0326935 | + | 0.247853i | ||||
\(785\) | −21.4333 | − | 12.3745i | −0.764987 | − | 0.441665i | ||||
\(786\) | 8.94903 | + | 9.34305i | 0.319201 | + | 0.333256i | ||||
\(787\) | −23.5571 | + | 13.6007i | −0.839719 | + | 0.484812i | −0.857169 | − | 0.515036i | \(-0.827779\pi\) |
0.0174497 | + | 0.999848i | \(0.494445\pi\) | |||||||
\(788\) | 11.6882i | 0.416376i | ||||||||
\(789\) | 32.1398 | − | 7.87409i | 1.14421 | − | 0.280325i | ||||
\(790\) | −10.5264 | −0.374512 | ||||||||
\(791\) | −10.7021 | − | 9.38312i | −0.380523 | − | 0.333625i | ||||
\(792\) | 2.08280 | + | 3.99557i | 0.0740092 | + | 0.141976i | ||||
\(793\) | − | 3.30301i | − | 0.117293i | ||||||
\(794\) | −33.3555 | −1.18374 | ||||||||
\(795\) | −25.4802 | − | 26.6020i | −0.903688 | − | 0.943476i | ||||
\(796\) | −9.71269 | −0.344257 | ||||||||
\(797\) | 37.0412 | 1.31207 | 0.656033 | − | 0.754732i | \(-0.272233\pi\) | ||||
0.656033 | + | 0.754732i | \(0.272233\pi\) | |||||||
\(798\) | 19.9618 | − | 0.724616i | 0.706641 | − | 0.0256511i | ||||
\(799\) | −5.09785 | −0.180349 | ||||||||
\(800\) | 1.17123 | 0.0414091 | ||||||||
\(801\) | −13.2233 | + | 6.89299i | −0.467221 | + | 0.243552i | ||||
\(802\) | 21.5973 | 0.762628 | ||||||||
\(803\) | 11.2670i | 0.397604i | ||||||||
\(804\) | −0.0235537 | − | 0.0245907i | −0.000830675 | − | 0.000867249i | ||||
\(805\) | 3.39463 | − | 17.0771i | 0.119645 | − | 0.601889i | ||||
\(806\) | −0.243840 | −0.00858889 | ||||||||
\(807\) | −9.97509 | − | 40.7155i | −0.351140 | − | 1.43325i | ||||
\(808\) | − | 2.01100i | − | 0.0707466i | ||||||
\(809\) | −23.5211 | + | 13.5799i | −0.826957 | + | 0.477444i | −0.852810 | − | 0.522222i | \(-0.825103\pi\) |
0.0258527 | + | 0.999666i | \(0.491770\pi\) | |||||||
\(810\) | 1.51524 | − | 17.5452i | 0.0532400 | − | 0.616476i | ||||
\(811\) | −25.2652 | − | 14.5869i | −0.887181 | − | 0.512214i | −0.0141613 | − | 0.999900i | \(-0.504508\pi\) |
−0.873019 | + | 0.487686i | \(0.837841\pi\) | |||||||
\(812\) | 5.73363 | − | 1.94710i | 0.201211 | − | 0.0683300i | ||||
\(813\) | 1.47355 | − | 1.41140i | 0.0516796 | − | 0.0495001i | ||||
\(814\) | 3.85932 | 0.135269 | ||||||||
\(815\) | 14.2357 | + | 8.21899i | 0.498655 | + | 0.287899i | ||||
\(816\) | 0.924620 | − | 0.226527i | 0.0323682 | − | 0.00793003i | ||||
\(817\) | −11.1801 | − | 19.7160i | −0.391142 | − | 0.689775i | ||||
\(818\) | 37.5808i | 1.31398i | ||||||||
\(819\) | −2.38826 | + | 0.697887i | −0.0834525 | + | 0.0243861i | ||||
\(820\) | 8.17895 | − | 4.72212i | 0.285621 | − | 0.164904i | ||||
\(821\) | 11.9764 | − | 6.91456i | 0.417978 | − | 0.241320i | −0.276234 | − | 0.961090i | \(-0.589086\pi\) |
0.694212 | + | 0.719771i | \(0.255753\pi\) | |||||||
\(822\) | 22.1222 | + | 23.0962i | 0.771600 | + | 0.805572i | ||||
\(823\) | 11.1822 | 0.389786 | 0.194893 | − | 0.980824i | \(-0.437564\pi\) | ||||
0.194893 | + | 0.980824i | \(0.437564\pi\) | |||||||
\(824\) | 2.37790 | + | 1.37288i | 0.0828381 | + | 0.0478266i | ||||
\(825\) | −0.851789 | + | 2.92540i | −0.0296555 | + | 0.101849i | ||||
\(826\) | 26.5893 | − | 9.02955i | 0.925160 | − | 0.314178i | ||||
\(827\) | −6.11154 | + | 10.5855i | −0.212519 | + | 0.368094i | −0.952502 | − | 0.304531i | \(-0.901500\pi\) |
0.739983 | + | 0.672625i | \(0.234833\pi\) | |||||||
\(828\) | 4.66384 | + | 8.94693i | 0.162080 | + | 0.310927i | ||||
\(829\) | −36.2004 | + | 20.9003i | −1.25729 | + | 0.725898i | −0.972547 | − | 0.232706i | \(-0.925242\pi\) |
−0.284745 | + | 0.958603i | \(0.591909\pi\) | |||||||
\(830\) | 21.8041 | 0.756831 | ||||||||
\(831\) | −26.0268 | − | 7.57823i | −0.902860 | − | 0.262886i | ||||
\(832\) | −0.271478 | − | 0.156738i | −0.00941180 | − | 0.00543391i | ||||
\(833\) | −1.47142 | + | 3.55483i | −0.0509816 | + | 0.123167i | ||||
\(834\) | −7.68708 | − | 31.3765i | −0.266182 | − | 1.08648i | ||||
\(835\) | 6.80696 | + | 3.93000i | 0.235564 | + | 0.136003i | ||||
\(836\) | −5.69494 | + | 3.22936i | −0.196964 | + | 0.111690i | ||||
\(837\) | −3.82846 | − | 1.29601i | −0.132331 | − | 0.0447965i | ||||
\(838\) | 11.3105i | 0.390715i | ||||||||
\(839\) | 6.29185 | + | 10.8978i | 0.217219 | + | 0.376234i | 0.953957 | − | 0.299945i | \(-0.0969682\pi\) |
−0.736738 | + | 0.676178i | \(0.763635\pi\) | |||||||
\(840\) | 0.394752 | + | 8.95815i | 0.0136202 | + | 0.309086i | ||||
\(841\) | 11.8810 | + | 20.5785i | 0.409690 | + | 0.709604i | ||||
\(842\) | 0.322455 | − | 0.186169i | 0.0111125 | − | 0.00641582i | ||||
\(843\) | 5.06173 | + | 20.6605i | 0.174335 | + | 0.711587i | ||||
\(844\) | −14.2681 | + | 8.23770i | −0.491129 | + | 0.283553i | ||||
\(845\) | 21.8629 | − | 12.6226i | 0.752108 | − | 0.434230i | ||||
\(846\) | 12.8623 | + | 24.6746i | 0.442216 | + | 0.848331i | ||||
\(847\) | −21.9062 | + | 7.43919i | −0.752704 | + | 0.255614i | ||||
\(848\) | −10.8689 | −0.373238 | ||||||||
\(849\) | −4.34730 | − | 17.7445i | −0.149199 | − | 0.608989i | ||||
\(850\) | 0.557482 | + | 0.321863i | 0.0191215 | + | 0.0110398i | ||||
\(851\) | 8.64184 | 0.296239 | ||||||||
\(852\) | −12.0686 | − | 3.51402i | −0.413464 | − | 0.120388i | ||||
\(853\) | −2.25392 | − | 3.90390i | −0.0771726 | − | 0.133667i | 0.824856 | − | 0.565342i | \(-0.191256\pi\) |
−0.902029 | + | 0.431675i | \(0.857923\pi\) | |||||||
\(854\) | −5.43523 | + | 27.3426i | −0.185990 | + | 0.935643i | ||||
\(855\) | 25.5545 | + | 1.29999i | 0.873944 | + | 0.0444588i | ||||
\(856\) | −3.96645 | + | 6.87009i | −0.135570 | + | 0.234815i | ||||
\(857\) | 2.53600 | − | 4.39247i | 0.0866280 | − | 0.150044i | −0.819456 | − | 0.573142i | \(-0.805724\pi\) |
0.906084 | + | 0.423098i | \(0.139058\pi\) | |||||||
\(858\) | 0.588924 | − | 0.564088i | 0.0201055 | − | 0.0192576i | ||||
\(859\) | −27.6594 | − | 47.9075i | −0.943727 | − | 1.63458i | −0.758280 | − | 0.651929i | \(-0.773960\pi\) |
−0.185447 | − | 0.982654i | \(-0.559373\pi\) | |||||||
\(860\) | 8.81139 | − | 5.08726i | 0.300466 | − | 0.173474i | ||||
\(861\) | −11.8916 | − | 18.6494i | −0.405263 | − | 0.635569i | ||||
\(862\) | −9.42562 | −0.321038 | ||||||||
\(863\) | −9.01119 | + | 15.6078i | −0.306744 | + | 0.531297i | −0.977648 | − | 0.210248i | \(-0.932573\pi\) |
0.670904 | + | 0.741544i | \(0.265906\pi\) | |||||||
\(864\) | −3.42934 | − | 3.90380i | −0.116668 | − | 0.132810i | ||||
\(865\) | 25.2642i | 0.859007i | ||||||||
\(866\) | −20.0799 | − | 11.5932i | −0.682344 | − | 0.393951i | ||||
\(867\) | −27.7685 | − | 8.08535i | −0.943067 | − | 0.274593i | ||||
\(868\) | 2.01853 | + | 0.401248i | 0.0685132 | + | 0.0136192i | ||||
\(869\) | −4.03994 | − | 6.99737i | −0.137045 | − | 0.237370i | ||||
\(870\) | 7.53380 | − | 1.84574i | 0.255420 | − | 0.0625765i | ||||
\(871\) | −0.00308138 | + | 0.00533710i | −0.000104409 | + | 0.000180841i | ||||
\(872\) | −13.8708 | − | 8.00830i | −0.469724 | − | 0.271195i | ||||
\(873\) | 3.21578 | + | 6.16903i | 0.108838 | + | 0.208790i | ||||
\(874\) | −12.7522 | + | 7.23123i | −0.431349 | + | 0.244600i | ||||
\(875\) | −21.0621 | + | 24.0228i | −0.712029 | + | 0.812118i | ||||
\(876\) | −3.09182 | − | 12.6199i | −0.104463 | − | 0.426388i | ||||
\(877\) | − | 26.7018i | − | 0.901655i | −0.892611 | − | 0.450828i | \(-0.851129\pi\) | ||
0.892611 | − | 0.450828i | \(-0.148871\pi\) | |||||||
\(878\) | − | 0.422976i | − | 0.0142748i | ||||||
\(879\) | 22.1602 | − | 21.2256i | 0.747445 | − | 0.715923i | ||||
\(880\) | −1.46945 | − | 2.54516i | −0.0495352 | − | 0.0857974i | ||||
\(881\) | − | 16.8396i | − | 0.567340i | −0.958922 | − | 0.283670i | \(-0.908448\pi\) | ||
0.958922 | − | 0.283670i | \(-0.0915520\pi\) | |||||||
\(882\) | 20.9186 | − | 1.84719i | 0.704366 | − | 0.0621983i | ||||
\(883\) | 8.06108 | − | 13.9622i | 0.271277 | − | 0.469865i | −0.697912 | − | 0.716183i | \(-0.745887\pi\) |
0.969189 | + | 0.246318i | \(0.0792208\pi\) | |||||||
\(884\) | −0.0861458 | − | 0.149209i | −0.00289740 | − | 0.00501844i | ||||
\(885\) | 34.9375 | − | 8.55949i | 1.17441 | − | 0.287724i | ||||
\(886\) | 23.2671 | − | 13.4333i | 0.781675 | − | 0.451300i | ||||
\(887\) | 1.28856 | + | 2.23185i | 0.0432655 | + | 0.0749381i | 0.886847 | − | 0.462063i | \(-0.152891\pi\) |
−0.843582 | + | 0.537001i | \(0.819557\pi\) | |||||||
\(888\) | −4.32274 | + | 1.05905i | −0.145062 | + | 0.0355393i | ||||
\(889\) | −3.95762 | − | 11.6540i | −0.132734 | − | 0.390863i | ||||
\(890\) | 8.42316 | − | 4.86312i | 0.282345 | − | 0.163012i | ||||
\(891\) | 12.2446 | − | 5.72645i | 0.410211 | − | 0.191843i | ||||
\(892\) | 15.6183 | − | 9.01722i | 0.522939 | − | 0.301919i | ||||
\(893\) | −35.1691 | + | 19.9429i | −1.17689 | + | 0.667364i | ||||
\(894\) | 14.8700 | + | 15.5247i | 0.497328 | + | 0.519225i | ||||
\(895\) | −24.7208 | + | 14.2725i | −0.826325 | + | 0.477079i | ||||
\(896\) | 1.98940 | + | 1.74422i | 0.0664612 | + | 0.0582702i | ||||
\(897\) | 1.31873 | − | 1.26311i | 0.0440310 | − | 0.0421741i | ||||
\(898\) | 13.5101 | 0.450838 | ||||||||
\(899\) | − | 1.78025i | − | 0.0593748i | ||||||
\(900\) | 0.151301 | − | 3.51042i | 0.00504338 | − | 0.117014i | ||||
\(901\) | −5.17339 | − | 2.98686i | −0.172351 | − | 0.0995066i | ||||
\(902\) | 6.27802 | + | 3.62462i | 0.209035 | + | 0.120687i | ||||
\(903\) | −12.8111 | − | 20.0914i | −0.426326 | − | 0.668601i | ||||
\(904\) | −5.37956 | −0.178921 | ||||||||
\(905\) | −16.1157 | + | 27.9132i | −0.535704 | + | 0.927866i | ||||
\(906\) | −0.721313 | + | 2.47729i | −0.0239640 | + | 0.0823025i | ||||
\(907\) | 49.2027 | + | 28.4072i | 1.63375 | + | 0.943246i | 0.982922 | + | 0.184020i | \(0.0589112\pi\) |
0.650828 | + | 0.759226i | \(0.274422\pi\) | |||||||
\(908\) | 1.16303 | + | 2.01443i | 0.0385965 | + | 0.0668511i | ||||
\(909\) | −6.02739 | − | 0.259785i | −0.199916 | − | 0.00861652i | ||||
\(910\) | 1.53668 | − | 0.521845i | 0.0509403 | − | 0.0172990i | ||||
\(911\) | −29.4855 | −0.976897 | −0.488449 | − | 0.872593i | \(-0.662437\pi\) | ||||
−0.488449 | + | 0.872593i | \(0.662437\pi\) | |||||||
\(912\) | 5.49260 | − | 5.17990i | 0.181878 | − | 0.171524i | ||||
\(913\) | 8.36821 | + | 14.4942i | 0.276947 | + | 0.479687i | ||||
\(914\) | −19.9506 | + | 34.5555i | −0.659908 | + | 1.14299i | ||||
\(915\) | −9.98325 | + | 34.2867i | −0.330036 | + | 1.13348i | ||||
\(916\) | −8.54257 | + | 14.7962i | −0.282255 | + | 0.488879i | ||||
\(917\) | −13.0283 | + | 14.8597i | −0.430233 | + | 0.490711i | ||||
\(918\) | −0.559507 | − | 2.80055i | −0.0184665 | − | 0.0924319i | ||||
\(919\) | −13.5597 | + | 23.4861i | −0.447293 | + | 0.774734i | −0.998209 | − | 0.0598270i | \(-0.980945\pi\) |
0.550916 | + | 0.834561i | \(0.314278\pi\) | |||||||
\(920\) | −3.29041 | − | 5.69916i | −0.108482 | − | 0.187896i | ||||
\(921\) | 11.0923 | − | 38.0958i | 0.365505 | − | 1.25530i | ||||
\(922\) | 15.6780 | − | 9.05172i | 0.516329 | − | 0.298102i | ||||
\(923\) | 2.27495i | 0.0748808i | ||||||||
\(924\) | −5.80339 | + | 3.70047i | −0.190918 | + | 0.121736i | ||||
\(925\) | −2.60631 | − | 1.50476i | −0.0856951 | − | 0.0494761i | ||||
\(926\) | −12.9235 | −0.424693 | ||||||||
\(927\) | 4.42201 | − | 6.94973i | 0.145238 | − | 0.228259i | ||||
\(928\) | 1.14433 | − | 1.98204i | 0.0375645 | − | 0.0650636i | ||||
\(929\) | 18.0298i | 0.591538i | 0.955259 | + | 0.295769i | \(0.0955759\pi\) | ||||
−0.955259 | + | 0.295769i | \(0.904424\pi\) | |||||||
\(930\) | 2.53116 | + | 0.736999i | 0.0830001 | + | 0.0241672i | ||||
\(931\) | 3.75554 | + | 30.2803i | 0.123083 | + | 0.992396i | ||||
\(932\) | − | 22.3373i | − | 0.731683i | ||||||
\(933\) | 2.84926 | − | 9.78555i | 0.0932805 | − | 0.320364i | ||||
\(934\) | −5.81673 | − | 3.35829i | −0.190329 | − | 0.109887i | ||||
\(935\) | − | 1.61527i | − | 0.0528250i | ||||||
\(936\) | −0.504848 | + | 0.793431i | −0.0165015 | + | 0.0259341i | ||||
\(937\) | −19.5792 | + | 33.9122i | −0.639625 | + | 1.10786i | 0.345890 | + | 0.938275i | \(0.387577\pi\) |
−0.985515 | + | 0.169588i | \(0.945756\pi\) | |||||||
\(938\) | 0.0342903 | − | 0.0391105i | 0.00111962 | − | 0.00127700i | ||||
\(939\) | 42.8478 | + | 12.4760i | 1.39828 | + | 0.407138i | ||||
\(940\) | −9.07458 | − | 15.7176i | −0.295980 | − | 0.512653i | ||||
\(941\) | 53.5610 | 1.74604 | 0.873019 | − | 0.487686i | \(-0.162159\pi\) | ||||
0.873019 | + | 0.487686i | \(0.162159\pi\) | |||||||
\(942\) | 5.21301 | + | 21.2780i | 0.169849 | + | 0.693276i | ||||
\(943\) | 14.0578 | + | 8.11629i | 0.457786 | + | 0.264303i | ||||
\(944\) | 5.30675 | − | 9.19155i | 0.172720 | − | 0.299160i | ||||
\(945\) | 26.9005 | − | 0.0259238i | 0.875074 | − | 0.000843301i | ||||
\(946\) | 6.76347 | + | 3.90489i | 0.219899 | + | 0.126959i | ||||
\(947\) | − | 31.4941i | − | 1.02342i | −0.859158 | − | 0.511711i | \(-0.829012\pi\) | ||
0.859158 | − | 0.511711i | \(-0.170988\pi\) | |||||||
\(948\) | 6.44521 | + | 6.72899i | 0.209331 | + | 0.218547i | ||||
\(949\) | −2.03652 | + | 1.17578i | −0.0661082 | + | 0.0381676i | ||||
\(950\) | 5.10510 | + | 0.0395835i | 0.165631 | + | 0.00128426i | ||||
\(951\) | −20.5113 | − | 5.97229i | −0.665125 | − | 0.193665i | ||||
\(952\) | 0.467593 | + | 1.37692i | 0.0151548 | + | 0.0446262i | ||||
\(953\) | −8.39492 | − | 14.5404i | −0.271938 | − | 0.471011i | 0.697420 | − | 0.716663i | \(-0.254331\pi\) |
−0.969358 | + | 0.245652i | \(0.920998\pi\) | |||||||
\(954\) | −1.40406 | + | 32.5764i | −0.0454582 | + | 1.05470i | ||||
\(955\) | 3.83508 | − | 6.64256i | 0.124100 | − | 0.214948i | ||||
\(956\) | 1.32903i | 0.0429840i | ||||||||
\(957\) | 4.11836 | + | 4.29969i | 0.133128 | + | 0.138989i | ||||
\(958\) | − | 16.3658i | − | 0.528755i | ||||||
\(959\) | −32.2063 | + | 36.7335i | −1.03999 | + | 1.18619i | ||||
\(960\) | 2.34432 | + | 2.44754i | 0.0756628 | + | 0.0789941i | ||||
\(961\) | −15.1975 | + | 26.3228i | −0.490241 | + | 0.849122i | ||||
\(962\) | 0.402745 | + | 0.697574i | 0.0129850 | + | 0.0224907i | ||||
\(963\) | 20.0788 | + | 12.7758i | 0.647029 | + | 0.411695i | ||||
\(964\) | 3.11193i | 0.100229i | ||||||||
\(965\) | 15.8792 | − | 27.5037i | 0.511171 | − | 0.885374i | ||||
\(966\) | −12.9950 | + | 8.28614i | −0.418108 | + | 0.266602i | ||||
\(967\) | −6.07362 | − | 10.5198i | −0.195314 | − | 0.338295i | 0.751689 | − | 0.659518i | \(-0.229239\pi\) |
−0.947004 | + | 0.321223i | \(0.895906\pi\) | |||||||
\(968\) | −4.37208 | + | 7.57266i | −0.140524 | + | 0.243394i | ||||
\(969\) | 4.03786 | − | 0.956130i | 0.129715 | − | 0.0307153i | ||||
\(970\) | −2.26879 | − | 3.92965i | −0.0728463 | − | 0.126173i | ||||
\(971\) | −18.9050 | −0.606689 | −0.303345 | − | 0.952881i | \(-0.598103\pi\) | ||||
−0.303345 | + | 0.952881i | \(0.598103\pi\) | |||||||
\(972\) | −12.1435 | + | 9.77417i | −0.389504 | + | 0.313507i | ||||
\(973\) | 46.7251 | − | 15.8675i | 1.49794 | − | 0.508690i | ||||
\(974\) | −21.2291 | + | 12.2567i | −0.680226 | + | 0.392728i | ||||
\(975\) | −0.617657 | + | 0.151323i | −0.0197809 | + | 0.00484621i | ||||
\(976\) | 5.26836 | + | 9.12507i | 0.168636 | + | 0.292086i | ||||
\(977\) | −1.45757 | − | 2.52459i | −0.0466318 | − | 0.0807687i | 0.841767 | − | 0.539840i | \(-0.181515\pi\) |
−0.888399 | + | 0.459072i | \(0.848182\pi\) | |||||||
\(978\) | −3.46241 | − | 14.1326i | −0.110716 | − | 0.451910i | ||||
\(979\) | 6.46547 | + | 3.73284i | 0.206637 | + | 0.119302i | ||||
\(980\) | −13.5795 | + | 1.79122i | −0.433780 | + | 0.0572184i | ||||
\(981\) | −25.7945 | + | 40.5392i | −0.823554 | + | 1.29432i | ||||
\(982\) | 28.4824 | − | 16.4443i | 0.908909 | − | 0.524759i | ||||
\(983\) | 9.82517 | − | 17.0177i | 0.313374 | − | 0.542780i | −0.665716 | − | 0.746205i | \(-0.731874\pi\) |
0.979091 | + | 0.203425i | \(0.0652072\pi\) | |||||||
\(984\) | −8.02651 | − | 2.33708i | −0.255876 | − | 0.0745034i | ||||
\(985\) | −22.8707 | −0.728720 | ||||||||
\(986\) | 1.08936 | − | 0.628943i | 0.0346923 | − | 0.0200296i | ||||
\(987\) | −35.8388 | + | 22.8522i | −1.14076 | + | 0.727394i | ||||
\(988\) | −1.17801 | − | 0.692359i | −0.0374776 | − | 0.0220269i | ||||
\(989\) | 15.1449 | + | 8.74389i | 0.481578 | + | 0.278039i | ||||
\(990\) | −7.81823 | + | 4.07547i | −0.248480 | + | 0.129527i | ||||
\(991\) | 13.7795 | + | 7.95561i | 0.437721 | + | 0.252718i | 0.702631 | − | 0.711555i | \(-0.252009\pi\) |
−0.264909 | + | 0.964273i | \(0.585342\pi\) | |||||||
\(992\) | 0.673645 | − | 0.388929i | 0.0213883 | − | 0.0123485i | ||||
\(993\) | 56.5752 | − | 13.8606i | 1.79536 | − | 0.439854i | ||||
\(994\) | 3.74351 | − | 18.8322i | 0.118737 | − | 0.597321i | ||||
\(995\) | − | 19.0051i | − | 0.602501i | ||||||
\(996\) | −13.3504 | − | 13.9383i | −0.423025 | − | 0.441650i | ||||
\(997\) | −28.4956 | −0.902463 | −0.451232 | − | 0.892407i | \(-0.649015\pi\) | ||||
−0.451232 | + | 0.892407i | \(0.649015\pi\) | |||||||
\(998\) | −0.387635 | −0.0122704 | ||||||||
\(999\) | 2.61578 | + | 13.0930i | 0.0827595 | + | 0.414244i |
(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 | 798.2.p.d.107.18 | yes | 50 | |
3.2 | odd | 2 | 798.2.p.c.107.10 | ✓ | 50 | ||
7.4 | even | 3 | 798.2.bh.c.221.2 | yes | 50 | ||
19.8 | odd | 6 | 798.2.bh.d.65.24 | yes | 50 | ||
21.11 | odd | 6 | 798.2.bh.d.221.24 | yes | 50 | ||
57.8 | even | 6 | 798.2.bh.c.65.2 | yes | 50 | ||
133.46 | odd | 6 | 798.2.p.c.179.10 | yes | 50 | ||
399.179 | even | 6 | inner | 798.2.p.d.179.18 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.p.c.107.10 | ✓ | 50 | 3.2 | odd | 2 | ||
798.2.p.c.179.10 | yes | 50 | 133.46 | odd | 6 | ||
798.2.p.d.107.18 | yes | 50 | 1.1 | even | 1 | trivial | |
798.2.p.d.179.18 | yes | 50 | 399.179 | even | 6 | inner | |
798.2.bh.c.65.2 | yes | 50 | 57.8 | even | 6 | ||
798.2.bh.c.221.2 | yes | 50 | 7.4 | even | 3 | ||
798.2.bh.d.65.24 | yes | 50 | 19.8 | odd | 6 | ||
798.2.bh.d.221.24 | yes | 50 | 21.11 | odd | 6 |