Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,3,Mod(6,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.6");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.p (of order \(12\), degree \(4\), 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: | \(1.77112171834\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 6.10 | ||
Character | \(\chi\) | \(=\) | 65.6 |
Dual form | 65.3.p.a.11.10 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.886220 | + | 3.30742i | 0.443110 | + | 1.65371i | 0.720878 | + | 0.693062i | \(0.243739\pi\) |
−0.277768 | + | 0.960648i | \(0.589595\pi\) | |||||||
\(3\) | −0.0164891 | + | 0.0285599i | −0.00549635 | + | 0.00951996i | −0.868760 | − | 0.495232i | \(-0.835083\pi\) |
0.863264 | + | 0.504752i | \(0.168416\pi\) | |||||||
\(4\) | −6.68953 | + | 3.86220i | −1.67238 | + | 0.965551i | ||||
\(5\) | −1.58114 | + | 1.58114i | −0.316228 | + | 0.316228i | ||||
\(6\) | −0.109072 | − | 0.0292259i | −0.0181787 | − | 0.00487098i | ||||
\(7\) | 0.185607 | − | 0.692695i | 0.0265153 | − | 0.0989564i | −0.951400 | − | 0.307957i | \(-0.900355\pi\) |
0.977915 | + | 0.209001i | \(0.0670212\pi\) | |||||||
\(8\) | −9.01754 | − | 9.01754i | −1.12719 | − | 1.12719i | ||||
\(9\) | 4.49946 | + | 7.79329i | 0.499940 | + | 0.865921i | ||||
\(10\) | −6.63073 | − | 3.82825i | −0.663073 | − | 0.382825i | ||||
\(11\) | 15.5985 | − | 4.17961i | 1.41805 | − | 0.379965i | 0.533257 | − | 0.845953i | \(-0.320968\pi\) |
0.884791 | + | 0.465988i | \(0.154301\pi\) | |||||||
\(12\) | − | 0.254736i | − | 0.0212280i | ||||||
\(13\) | −2.16135 | − | 12.8191i | −0.166257 | − | 0.986082i | ||||
\(14\) | 2.45552 | 0.175394 | ||||||||
\(15\) | −0.0190857 | − | 0.0712286i | −0.00127238 | − | 0.00474858i | ||||
\(16\) | 6.38443 | − | 11.0582i | 0.399027 | − | 0.691135i | ||||
\(17\) | −1.49033 | + | 0.860444i | −0.0876666 | + | 0.0506143i | −0.543192 | − | 0.839608i | \(-0.682785\pi\) |
0.455526 | + | 0.890223i | \(0.349451\pi\) | |||||||
\(18\) | −21.7882 | + | 21.7882i | −1.21045 | + | 1.21045i | ||||
\(19\) | 6.58643 | + | 1.76483i | 0.346654 | + | 0.0928857i | 0.427945 | − | 0.903805i | \(-0.359238\pi\) |
−0.0812910 | + | 0.996690i | \(0.525904\pi\) | |||||||
\(20\) | 4.47040 | − | 16.6838i | 0.223520 | − | 0.834188i | ||||
\(21\) | 0.0167228 | + | 0.0167228i | 0.000796324 | + | 0.000796324i | ||||
\(22\) | 27.6475 | + | 47.8868i | 1.25670 | + | 2.17667i | ||||
\(23\) | 1.16760 | + | 0.674114i | 0.0507652 | + | 0.0293093i | 0.525168 | − | 0.850999i | \(-0.324003\pi\) |
−0.474403 | + | 0.880308i | \(0.657336\pi\) | |||||||
\(24\) | 0.406230 | − | 0.108849i | 0.0169263 | − | 0.00453538i | ||||
\(25\) | − | 5.00000i | − | 0.200000i | ||||||
\(26\) | 40.4826 | − | 18.5090i | 1.55702 | − | 0.711884i | ||||
\(27\) | −0.593570 | −0.0219841 | ||||||||
\(28\) | 1.43370 | + | 5.35066i | 0.0512037 | + | 0.191095i | ||||
\(29\) | 23.7681 | − | 41.1675i | 0.819588 | − | 1.41957i | −0.0863974 | − | 0.996261i | \(-0.527535\pi\) |
0.905986 | − | 0.423308i | \(-0.139131\pi\) | |||||||
\(30\) | 0.218669 | − | 0.126249i | 0.00728896 | − | 0.00420828i | ||||
\(31\) | −21.6495 | + | 21.6495i | −0.698371 | + | 0.698371i | −0.964059 | − | 0.265688i | \(-0.914401\pi\) |
0.265688 | + | 0.964059i | \(0.414401\pi\) | |||||||
\(32\) | −7.04075 | − | 1.88656i | −0.220023 | − | 0.0589551i | ||||
\(33\) | −0.137836 | + | 0.514410i | −0.00417684 | + | 0.0155882i | ||||
\(34\) | −4.16661 | − | 4.16661i | −0.122547 | − | 0.122547i | ||||
\(35\) | 0.801776 | + | 1.38872i | 0.0229079 | + | 0.0396776i | ||||
\(36\) | −60.1985 | − | 34.7556i | −1.67218 | − | 0.965435i | ||||
\(37\) | −42.2011 | + | 11.3078i | −1.14057 | + | 0.305615i | −0.779180 | − | 0.626800i | \(-0.784364\pi\) |
−0.361390 | + | 0.932415i | \(0.617698\pi\) | |||||||
\(38\) | 23.3481i | 0.614424i | ||||||||
\(39\) | 0.401750 | + | 0.149647i | 0.0103013 | + | 0.00383709i | ||||
\(40\) | 28.5160 | 0.712899 | ||||||||
\(41\) | −14.6912 | − | 54.8283i | −0.358322 | − | 1.33728i | −0.876252 | − | 0.481853i | \(-0.839964\pi\) |
0.517930 | − | 0.855423i | \(-0.326703\pi\) | |||||||
\(42\) | −0.0404892 | + | 0.0701294i | −0.000964029 | + | 0.00166975i | ||||
\(43\) | 22.7934 | − | 13.1597i | 0.530078 | − | 0.306041i | −0.210970 | − | 0.977492i | \(-0.567662\pi\) |
0.741048 | + | 0.671452i | \(0.234329\pi\) | |||||||
\(44\) | −88.2044 | + | 88.2044i | −2.00465 | + | 2.00465i | ||||
\(45\) | −19.4365 | − | 5.20800i | −0.431923 | − | 0.115733i | ||||
\(46\) | −1.19483 | + | 4.45916i | −0.0259745 | + | 0.0969382i | ||||
\(47\) | −57.0372 | − | 57.0372i | −1.21356 | − | 1.21356i | −0.969848 | − | 0.243710i | \(-0.921636\pi\) |
−0.243710 | − | 0.969848i | \(-0.578364\pi\) | |||||||
\(48\) | 0.210547 | + | 0.364677i | 0.00438639 | + | 0.00759744i | ||||
\(49\) | 41.9899 | + | 24.2429i | 0.856936 | + | 0.494752i | ||||
\(50\) | 16.5371 | − | 4.43110i | 0.330742 | − | 0.0886220i | ||||
\(51\) | − | 0.0567516i | − | 0.00111278i | ||||||
\(52\) | 63.9683 | + | 77.4061i | 1.23016 | + | 1.48858i | ||||
\(53\) | 31.8181 | 0.600342 | 0.300171 | − | 0.953885i | \(-0.402956\pi\) | ||||
0.300171 | + | 0.953885i | \(0.402956\pi\) | |||||||
\(54\) | −0.526034 | − | 1.96319i | −0.00974137 | − | 0.0363553i | ||||
\(55\) | −18.0549 | + | 31.2720i | −0.328271 | + | 0.568582i | ||||
\(56\) | −7.92012 | + | 4.57268i | −0.141431 | + | 0.0816551i | ||||
\(57\) | −0.159007 | + | 0.159007i | −0.00278960 | + | 0.00278960i | ||||
\(58\) | 157.222 | + | 42.1275i | 2.71072 | + | 0.726336i | ||||
\(59\) | −24.3081 | + | 90.7191i | −0.412002 | + | 1.53761i | 0.378764 | + | 0.925493i | \(0.376349\pi\) |
−0.790766 | + | 0.612119i | \(0.790317\pi\) | |||||||
\(60\) | 0.402774 | + | 0.402774i | 0.00671290 | + | 0.00671290i | ||||
\(61\) | −21.4156 | − | 37.0929i | −0.351075 | − | 0.608080i | 0.635363 | − | 0.772214i | \(-0.280850\pi\) |
−0.986438 | + | 0.164134i | \(0.947517\pi\) | |||||||
\(62\) | −90.7902 | − | 52.4177i | −1.46436 | − | 0.845447i | ||||
\(63\) | 6.23350 | − | 1.67026i | 0.0989445 | − | 0.0265121i | ||||
\(64\) | − | 76.0341i | − | 1.18803i | ||||||
\(65\) | 23.6861 | + | 16.8513i | 0.364402 | + | 0.259251i | ||||
\(66\) | −1.82352 | −0.0276291 | ||||||||
\(67\) | 25.5657 | + | 95.4126i | 0.381578 | + | 1.42407i | 0.843491 | + | 0.537143i | \(0.180496\pi\) |
−0.461913 | + | 0.886925i | \(0.652837\pi\) | |||||||
\(68\) | 6.64642 | − | 11.5119i | 0.0977415 | − | 0.169293i | ||||
\(69\) | −0.0385053 | + | 0.0222310i | −0.000558047 | + | 0.000322189i | ||||
\(70\) | −3.88252 | + | 3.88252i | −0.0554646 | + | 0.0554646i | ||||
\(71\) | 50.7246 | + | 13.5916i | 0.714431 | + | 0.191431i | 0.597685 | − | 0.801731i | \(-0.296087\pi\) |
0.116745 | + | 0.993162i | \(0.462754\pi\) | |||||||
\(72\) | 29.7022 | − | 110.850i | 0.412531 | − | 1.53959i | ||||
\(73\) | −52.6480 | − | 52.6480i | −0.721205 | − | 0.721205i | 0.247646 | − | 0.968851i | \(-0.420343\pi\) |
−0.968851 | + | 0.247646i | \(0.920343\pi\) | |||||||
\(74\) | −74.7989 | − | 129.556i | −1.01080 | − | 1.75075i | ||||
\(75\) | 0.142799 | + | 0.0824453i | 0.00190399 | + | 0.00109927i | ||||
\(76\) | −50.8763 | + | 13.6323i | −0.669425 | + | 0.179372i | ||||
\(77\) | − | 11.5808i | − | 0.150400i | ||||||
\(78\) | −0.138905 | + | 1.46137i | −0.00178084 | + | 0.0187356i | ||||
\(79\) | 41.6643 | 0.527397 | 0.263698 | − | 0.964605i | \(-0.415058\pi\) | ||||
0.263698 | + | 0.964605i | \(0.415058\pi\) | |||||||
\(80\) | 7.38981 | + | 27.5792i | 0.0923727 | + | 0.344740i | ||||
\(81\) | −40.4853 | + | 70.1226i | −0.499819 | + | 0.865711i | ||||
\(82\) | 168.321 | − | 97.1800i | 2.05269 | − | 1.18512i | ||||
\(83\) | 8.45759 | − | 8.45759i | 0.101899 | − | 0.101899i | −0.654320 | − | 0.756218i | \(-0.727045\pi\) |
0.756218 | + | 0.654320i | \(0.227045\pi\) | |||||||
\(84\) | −0.176455 | − | 0.0472809i | −0.00210065 | − | 0.000562868i | ||||
\(85\) | 0.995941 | − | 3.71690i | 0.0117170 | − | 0.0437283i | ||||
\(86\) | 63.7247 | + | 63.7247i | 0.740985 | + | 0.740985i | ||||
\(87\) | 0.783826 | + | 1.35763i | 0.00900949 | + | 0.0156049i | ||||
\(88\) | −178.350 | − | 102.971i | −2.02671 | − | 1.17012i | ||||
\(89\) | 91.6776 | − | 24.5649i | 1.03009 | − | 0.276011i | 0.296087 | − | 0.955161i | \(-0.404318\pi\) |
0.733999 | + | 0.679150i | \(0.237652\pi\) | |||||||
\(90\) | − | 68.9002i | − | 0.765558i | ||||||
\(91\) | −9.28087 | − | 0.882157i | −0.101988 | − | 0.00969403i | ||||
\(92\) | −10.4143 | −0.113199 | ||||||||
\(93\) | −0.261327 | − | 0.975287i | −0.00280997 | − | 0.0104870i | ||||
\(94\) | 138.098 | − | 239.194i | 1.46913 | − | 2.54461i | ||||
\(95\) | −13.2045 | + | 7.62362i | −0.138995 | + | 0.0802486i | ||||
\(96\) | 0.169975 | − | 0.169975i | 0.00177058 | − | 0.00177058i | ||||
\(97\) | −141.407 | − | 37.8898i | −1.45780 | − | 0.390616i | −0.559070 | − | 0.829120i | \(-0.688842\pi\) |
−0.898729 | + | 0.438504i | \(0.855508\pi\) | |||||||
\(98\) | −42.9690 | + | 160.363i | −0.438460 | + | 1.63635i | ||||
\(99\) | 102.758 | + | 102.758i | 1.03796 | + | 1.03796i | ||||
\(100\) | 19.3110 | + | 33.4477i | 0.193110 | + | 0.334477i | ||||
\(101\) | 78.2407 | + | 45.1723i | 0.774660 | + | 0.447250i | 0.834535 | − | 0.550956i | \(-0.185737\pi\) |
−0.0598743 | + | 0.998206i | \(0.519070\pi\) | |||||||
\(102\) | 0.187701 | − | 0.0502944i | 0.00184021 | − | 0.000493083i | ||||
\(103\) | 106.662i | 1.03555i | 0.855516 | + | 0.517777i | \(0.173240\pi\) | ||||
−0.855516 | + | 0.517777i | \(0.826760\pi\) | |||||||
\(104\) | −96.1064 | + | 135.086i | −0.924100 | + | 1.29891i | ||||
\(105\) | −0.0528821 | −0.000503639 | ||||||||
\(106\) | 28.1979 | + | 105.236i | 0.266018 | + | 0.992792i | ||||
\(107\) | −64.4638 | + | 111.655i | −0.602465 | + | 1.04350i | 0.389982 | + | 0.920823i | \(0.372481\pi\) |
−0.992447 | + | 0.122677i | \(0.960852\pi\) | |||||||
\(108\) | 3.97071 | − | 2.29249i | 0.0367658 | − | 0.0212268i | ||||
\(109\) | −80.6778 | + | 80.6778i | −0.740164 | + | 0.740164i | −0.972609 | − | 0.232446i | \(-0.925327\pi\) |
0.232446 | + | 0.972609i | \(0.425327\pi\) | |||||||
\(110\) | −119.430 | − | 32.0012i | −1.08573 | − | 0.290920i | ||||
\(111\) | 0.372908 | − | 1.39171i | 0.00335953 | − | 0.0125380i | ||||
\(112\) | −6.47494 | − | 6.47494i | −0.0578119 | − | 0.0578119i | ||||
\(113\) | −71.2477 | − | 123.405i | −0.630510 | − | 1.09208i | −0.987448 | − | 0.157947i | \(-0.949512\pi\) |
0.356937 | − | 0.934128i | \(-0.383821\pi\) | |||||||
\(114\) | −0.666819 | − | 0.384988i | −0.00584929 | − | 0.00337709i | ||||
\(115\) | −2.91201 | + | 0.780270i | −0.0253218 | + | 0.00678495i | ||||
\(116\) | 367.189i | 3.16542i | ||||||||
\(117\) | 90.1778 | − | 74.5228i | 0.770751 | − | 0.636947i | ||||
\(118\) | −321.589 | −2.72533 | ||||||||
\(119\) | 0.319409 | + | 1.19205i | 0.00268411 | + | 0.0100172i | ||||
\(120\) | −0.470201 | + | 0.814412i | −0.00391834 | + | 0.00678677i | ||||
\(121\) | 121.056 | − | 69.8917i | 1.00046 | − | 0.577617i | ||||
\(122\) | 103.703 | − | 103.703i | 0.850022 | − | 0.850022i | ||||
\(123\) | 1.80813 | + | 0.484488i | 0.0147003 | + | 0.00393893i | ||||
\(124\) | 61.2103 | − | 228.440i | 0.493631 | − | 1.84226i | ||||
\(125\) | 7.90569 | + | 7.90569i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | 11.0485 | + | 19.1366i | 0.0876866 | + | 0.151878i | ||||
\(127\) | 85.7085 | + | 49.4838i | 0.674870 | + | 0.389636i | 0.797919 | − | 0.602764i | \(-0.205934\pi\) |
−0.123049 | + | 0.992401i | \(0.539267\pi\) | |||||||
\(128\) | 223.314 | − | 59.8367i | 1.74464 | − | 0.467474i | ||||
\(129\) | 0.867967i | 0.00672843i | ||||||||
\(130\) | −34.7433 | + | 93.2739i | −0.267256 | + | 0.717492i | ||||
\(131\) | −96.5698 | −0.737174 | −0.368587 | − | 0.929593i | \(-0.620158\pi\) | ||||
−0.368587 | + | 0.929593i | \(0.620158\pi\) | |||||||
\(132\) | −1.06470 | − | 3.97352i | −0.00806591 | − | 0.0301024i | ||||
\(133\) | 2.44497 | − | 4.23482i | 0.0183833 | − | 0.0318408i | ||||
\(134\) | −292.913 | + | 169.113i | −2.18591 | + | 1.26204i | ||||
\(135\) | 0.938517 | − | 0.938517i | 0.00695198 | − | 0.00695198i | ||||
\(136\) | 21.1982 | + | 5.68004i | 0.155869 | + | 0.0417650i | ||||
\(137\) | 35.9585 | − | 134.199i | 0.262471 | − | 0.979555i | −0.701309 | − | 0.712857i | \(-0.747401\pi\) |
0.963780 | − | 0.266698i | \(-0.0859325\pi\) | |||||||
\(138\) | −0.107651 | − | 0.107651i | −0.000780083 | − | 0.000780083i | ||||
\(139\) | −36.5951 | − | 63.3846i | −0.263274 | − | 0.456005i | 0.703836 | − | 0.710363i | \(-0.251469\pi\) |
−0.967110 | + | 0.254358i | \(0.918136\pi\) | |||||||
\(140\) | −10.7270 | − | 6.19325i | −0.0766216 | − | 0.0442375i | ||||
\(141\) | 2.56947 | − | 0.688486i | 0.0182232 | − | 0.00488288i | ||||
\(142\) | 179.813i | 1.26629i | ||||||||
\(143\) | −87.2926 | − | 190.925i | −0.610438 | − | 1.33514i | ||||
\(144\) | 114.906 | 0.797958 | ||||||||
\(145\) | 27.5109 | + | 102.672i | 0.189730 | + | 0.708084i | ||||
\(146\) | 127.471 | − | 220.787i | 0.873091 | − | 1.51224i | ||||
\(147\) | −1.38475 | + | 0.799484i | −0.00942005 | + | 0.00543867i | ||||
\(148\) | 238.633 | − | 238.633i | 1.61238 | − | 1.61238i | ||||
\(149\) | −157.836 | − | 42.2920i | −1.05930 | − | 0.283839i | −0.313210 | − | 0.949684i | \(-0.601405\pi\) |
−0.746090 | + | 0.665845i | \(0.768071\pi\) | |||||||
\(150\) | −0.146129 | + | 0.545362i | −0.000974196 | + | 0.00363575i | ||||
\(151\) | −183.510 | − | 183.510i | −1.21530 | − | 1.21530i | −0.969261 | − | 0.246036i | \(-0.920872\pi\) |
−0.246036 | − | 0.969261i | \(-0.579128\pi\) | |||||||
\(152\) | −43.4790 | − | 75.3078i | −0.286046 | − | 0.495446i | ||||
\(153\) | −13.4114 | − | 7.74306i | −0.0876560 | − | 0.0506082i | ||||
\(154\) | 38.3025 | − | 10.2631i | 0.248718 | − | 0.0666437i | ||||
\(155\) | − | 68.4617i | − | 0.441689i | ||||||
\(156\) | −3.26548 | + | 0.550573i | −0.0209326 | + | 0.00352932i | ||||
\(157\) | −21.3368 | −0.135903 | −0.0679516 | − | 0.997689i | \(-0.521646\pi\) | ||||
−0.0679516 | + | 0.997689i | \(0.521646\pi\) | |||||||
\(158\) | 36.9238 | + | 137.801i | 0.233695 | + | 0.872161i | ||||
\(159\) | −0.524651 | + | 0.908722i | −0.00329969 | + | 0.00571524i | ||||
\(160\) | 14.1153 | − | 8.14948i | 0.0882207 | − | 0.0509343i | ||||
\(161\) | 0.683670 | − | 0.683670i | 0.00424640 | − | 0.00424640i | ||||
\(162\) | −267.804 | − | 71.7578i | −1.65311 | − | 0.442950i | ||||
\(163\) | −19.9108 | + | 74.3081i | −0.122152 | + | 0.455878i | −0.999722 | − | 0.0235705i | \(-0.992497\pi\) |
0.877570 | + | 0.479448i | \(0.159163\pi\) | |||||||
\(164\) | 310.036 | + | 310.036i | 1.89046 | + | 1.89046i | ||||
\(165\) | −0.595416 | − | 1.03129i | −0.00360858 | − | 0.00625025i | ||||
\(166\) | 35.4681 | + | 20.4775i | 0.213663 | + | 0.123358i | ||||
\(167\) | 238.687 | − | 63.9559i | 1.42926 | − | 0.382969i | 0.540501 | − | 0.841343i | \(-0.318235\pi\) |
0.888759 | + | 0.458374i | \(0.151568\pi\) | |||||||
\(168\) | − | 0.301597i | − | 0.00179522i | ||||||
\(169\) | −159.657 | + | 55.4129i | −0.944717 | + | 0.327887i | ||||
\(170\) | 13.1760 | 0.0775058 | ||||||||
\(171\) | 15.8815 | + | 59.2707i | 0.0928745 | + | 0.346612i | ||||
\(172\) | −101.651 | + | 176.065i | −0.590996 | + | 1.02363i | ||||
\(173\) | 95.6665 | − | 55.2331i | 0.552986 | − | 0.319266i | −0.197340 | − | 0.980335i | \(-0.563230\pi\) |
0.750325 | + | 0.661069i | \(0.229897\pi\) | |||||||
\(174\) | −3.79560 | + | 3.79560i | −0.0218138 | + | 0.0218138i | ||||
\(175\) | −3.46347 | − | 0.928035i | −0.0197913 | − | 0.00530306i | ||||
\(176\) | 53.3689 | − | 199.176i | 0.303233 | − | 1.13168i | ||||
\(177\) | −2.19011 | − | 2.19011i | −0.0123735 | − | 0.0123735i | ||||
\(178\) | 162.493 | + | 281.446i | 0.912883 | + | 1.58116i | ||||
\(179\) | 183.778 | + | 106.104i | 1.02669 | + | 0.592761i | 0.916035 | − | 0.401098i | \(-0.131371\pi\) |
0.110656 | + | 0.993859i | \(0.464705\pi\) | |||||||
\(180\) | 150.136 | − | 40.2288i | 0.834087 | − | 0.223493i | ||||
\(181\) | 51.8213i | 0.286306i | 0.989701 | + | 0.143153i | \(0.0457240\pi\) | ||||
−0.989701 | + | 0.143153i | \(0.954276\pi\) | |||||||
\(182\) | −5.30723 | − | 31.4775i | −0.0291606 | − | 0.172953i | ||||
\(183\) | 1.41249 | 0.00771853 | ||||||||
\(184\) | −4.45003 | − | 16.6077i | −0.0241849 | − | 0.0902594i | ||||
\(185\) | 48.8467 | − | 84.6049i | 0.264036 | − | 0.457324i | ||||
\(186\) | 2.99409 | − | 1.72864i | 0.0160973 | − | 0.00929375i | ||||
\(187\) | −19.6507 | + | 19.6507i | −0.105084 | + | 0.105084i | ||||
\(188\) | 601.842 | + | 161.263i | 3.20129 | + | 0.857782i | ||||
\(189\) | −0.110171 | + | 0.411163i | −0.000582914 | + | 0.00217547i | ||||
\(190\) | −36.9166 | − | 36.9166i | −0.194298 | − | 0.194298i | ||||
\(191\) | −95.3560 | − | 165.161i | −0.499246 | − | 0.864720i | 0.500753 | − | 0.865590i | \(-0.333056\pi\) |
−1.00000 | 0.000870149i | \(0.999723\pi\) | ||||||||
\(192\) | 2.17152 | + | 1.25373i | 0.0113100 | + | 0.00652984i | ||||
\(193\) | −21.9641 | + | 5.88526i | −0.113804 | + | 0.0304936i | −0.315271 | − | 0.949002i | \(-0.602096\pi\) |
0.201468 | + | 0.979495i | \(0.435429\pi\) | |||||||
\(194\) | − | 501.269i | − | 2.58386i | ||||||
\(195\) | −0.871834 | + | 0.398610i | −0.00447094 | + | 0.00204415i | ||||
\(196\) | −374.524 | −1.91083 | ||||||||
\(197\) | −31.8969 | − | 119.041i | −0.161913 | − | 0.604267i | −0.998414 | − | 0.0563018i | \(-0.982069\pi\) |
0.836501 | − | 0.547966i | \(-0.184598\pi\) | |||||||
\(198\) | −248.797 | + | 430.929i | −1.25655 | + | 2.17641i | ||||
\(199\) | 23.6042 | − | 13.6279i | 0.118614 | − | 0.0684820i | −0.439519 | − | 0.898233i | \(-0.644851\pi\) |
0.558133 | + | 0.829751i | \(0.311518\pi\) | |||||||
\(200\) | −45.0877 | + | 45.0877i | −0.225438 | + | 0.225438i | ||||
\(201\) | −3.14653 | − | 0.843109i | −0.0156544 | − | 0.00419457i | ||||
\(202\) | −80.0652 | + | 298.807i | −0.396362 | + | 1.47924i | ||||
\(203\) | −24.1050 | − | 24.1050i | −0.118744 | − | 0.118744i | ||||
\(204\) | 0.219186 | + | 0.379642i | 0.00107444 | + | 0.00186099i | ||||
\(205\) | 109.920 | + | 63.4624i | 0.536195 | + | 0.309572i | ||||
\(206\) | −352.776 | + | 94.5261i | −1.71251 | + | 0.458864i | ||||
\(207\) | 12.1326i | 0.0586116i | ||||||||
\(208\) | −155.554 | − | 57.9420i | −0.747857 | − | 0.278567i | ||||
\(209\) | 110.115 | 0.526866 | ||||||||
\(210\) | −0.0468652 | − | 0.174903i | −0.000223168 | − | 0.000832873i | ||||
\(211\) | 13.7251 | − | 23.7725i | 0.0650477 | − | 0.112666i | −0.831667 | − | 0.555274i | \(-0.812613\pi\) |
0.896715 | + | 0.442608i | \(0.145947\pi\) | |||||||
\(212\) | −212.849 | + | 122.888i | −1.00400 | + | 0.579661i | ||||
\(213\) | −1.22458 | + | 1.22458i | −0.00574918 | + | 0.00574918i | ||||
\(214\) | −426.417 | − | 114.258i | −1.99260 | − | 0.533917i | ||||
\(215\) | −15.2321 | + | 56.8468i | −0.0708468 | + | 0.264404i | ||||
\(216\) | 5.35254 | + | 5.35254i | 0.0247803 | + | 0.0247803i | ||||
\(217\) | 10.9782 | + | 19.0148i | 0.0505908 | + | 0.0876258i | ||||
\(218\) | −338.334 | − | 195.337i | −1.55199 | − | 0.896042i | ||||
\(219\) | 2.37174 | − | 0.635505i | 0.0108298 | − | 0.00290185i | ||||
\(220\) | − | 278.927i | − | 1.26785i | ||||||
\(221\) | 14.2512 | + | 17.2450i | 0.0644851 | + | 0.0780315i | ||||
\(222\) | 4.93346 | 0.0222228 | ||||||||
\(223\) | −7.84413 | − | 29.2747i | −0.0351755 | − | 0.131277i | 0.946105 | − | 0.323859i | \(-0.104980\pi\) |
−0.981281 | + | 0.192582i | \(0.938314\pi\) | |||||||
\(224\) | −2.61362 | + | 4.52693i | −0.0116680 | + | 0.0202095i | ||||
\(225\) | 38.9664 | − | 22.4973i | 0.173184 | − | 0.0999879i | ||||
\(226\) | 345.010 | − | 345.010i | 1.52659 | − | 1.52659i | ||||
\(227\) | 362.889 | + | 97.2358i | 1.59863 | + | 0.428351i | 0.944628 | − | 0.328142i | \(-0.106423\pi\) |
0.654001 | + | 0.756494i | \(0.273089\pi\) | |||||||
\(228\) | 0.449566 | − | 1.67780i | 0.00197178 | − | 0.00735879i | ||||
\(229\) | −165.325 | − | 165.325i | −0.721942 | − | 0.721942i | 0.247059 | − | 0.969001i | \(-0.420536\pi\) |
−0.969001 | + | 0.247059i | \(0.920536\pi\) | |||||||
\(230\) | −5.16136 | − | 8.93974i | −0.0224407 | − | 0.0388684i | ||||
\(231\) | 0.330746 | + | 0.190956i | 0.00143180 | + | 0.000826651i | ||||
\(232\) | −585.559 | + | 156.900i | −2.52396 | + | 0.676293i | ||||
\(233\) | 116.211i | 0.498759i | 0.968406 | + | 0.249379i | \(0.0802266\pi\) | ||||
−0.968406 | + | 0.249379i | \(0.919773\pi\) | |||||||
\(234\) | 326.396 | + | 232.212i | 1.39485 | + | 0.992360i | ||||
\(235\) | 180.368 | 0.767521 | ||||||||
\(236\) | −187.766 | − | 700.752i | −0.795618 | − | 2.96929i | ||||
\(237\) | −0.687006 | + | 1.18993i | −0.00289876 | + | 0.00502080i | ||||
\(238\) | −3.65954 | + | 2.11284i | −0.0153762 | + | 0.00887747i | ||||
\(239\) | −224.962 | + | 224.962i | −0.941263 | + | 0.941263i | −0.998368 | − | 0.0571055i | \(-0.981813\pi\) |
0.0571055 | + | 0.998368i | \(0.481813\pi\) | |||||||
\(240\) | −0.909509 | − | 0.243702i | −0.00378962 | − | 0.00101543i | ||||
\(241\) | −44.9894 | + | 167.903i | −0.186678 | + | 0.696692i | 0.807587 | + | 0.589748i | \(0.200773\pi\) |
−0.994265 | + | 0.106944i | \(0.965894\pi\) | |||||||
\(242\) | 338.444 | + | 338.444i | 1.39853 | + | 1.39853i | ||||
\(243\) | −4.00620 | − | 6.93893i | −0.0164864 | − | 0.0285553i | ||||
\(244\) | 286.520 | + | 165.423i | 1.17426 | + | 0.677962i | ||||
\(245\) | −104.723 | + | 28.0605i | −0.427441 | + | 0.114533i | ||||
\(246\) | 6.40962i | 0.0260554i | ||||||||
\(247\) | 8.38791 | − | 88.2463i | 0.0339592 | − | 0.357272i | ||||
\(248\) | 390.450 | 1.57440 | ||||||||
\(249\) | 0.102090 | + | 0.381005i | 0.000410000 | + | 0.00153014i | ||||
\(250\) | −19.1413 | + | 33.1536i | −0.0765650 | + | 0.132615i | ||||
\(251\) | 145.005 | − | 83.7187i | 0.577709 | − | 0.333541i | −0.182513 | − | 0.983203i | \(-0.558423\pi\) |
0.760223 | + | 0.649663i | \(0.225090\pi\) | |||||||
\(252\) | −35.2483 | + | 35.2483i | −0.139874 | + | 0.139874i | ||||
\(253\) | 21.0304 | + | 5.63508i | 0.0831241 | + | 0.0222730i | ||||
\(254\) | −87.7071 | + | 327.327i | −0.345304 | + | 1.28869i | ||||
\(255\) | 0.0897322 | + | 0.0897322i | 0.000351891 | + | 0.000351891i | ||||
\(256\) | 243.742 | + | 422.173i | 0.952117 | + | 1.64911i | ||||
\(257\) | 161.725 | + | 93.3719i | 0.629279 | + | 0.363315i | 0.780473 | − | 0.625190i | \(-0.214978\pi\) |
−0.151194 | + | 0.988504i | \(0.548312\pi\) | |||||||
\(258\) | −2.87073 | + | 0.769210i | −0.0111269 | + | 0.00298144i | ||||
\(259\) | 31.3313i | 0.120970i | ||||||||
\(260\) | −223.532 | − | 21.2470i | −0.859740 | − | 0.0817193i | ||||
\(261\) | 427.773 | 1.63898 | ||||||||
\(262\) | −85.5821 | − | 319.397i | −0.326649 | − | 1.21907i | ||||
\(263\) | −70.0491 | + | 121.329i | −0.266346 | + | 0.461326i | −0.967915 | − | 0.251276i | \(-0.919150\pi\) |
0.701569 | + | 0.712601i | \(0.252483\pi\) | |||||||
\(264\) | 5.88165 | − | 3.39577i | 0.0222790 | − | 0.0128628i | ||||
\(265\) | −50.3089 | + | 50.3089i | −0.189845 | + | 0.189845i | ||||
\(266\) | 16.1731 | + | 4.33357i | 0.0608012 | + | 0.0162916i | ||||
\(267\) | −0.810106 | + | 3.02336i | −0.00303410 | + | 0.0113234i | ||||
\(268\) | −539.526 | − | 539.526i | −2.01316 | − | 2.01316i | ||||
\(269\) | 24.6298 | + | 42.6600i | 0.0915604 | + | 0.158587i | 0.908168 | − | 0.418606i | \(-0.137481\pi\) |
−0.816607 | + | 0.577193i | \(0.804148\pi\) | |||||||
\(270\) | 3.93580 | + | 2.27234i | 0.0145770 | + | 0.00841606i | ||||
\(271\) | −450.532 | + | 120.720i | −1.66248 | + | 0.445460i | −0.963068 | − | 0.269258i | \(-0.913222\pi\) |
−0.699412 | + | 0.714718i | \(0.746555\pi\) | |||||||
\(272\) | 21.9738i | 0.0807859i | ||||||||
\(273\) | 0.178227 | − | 0.250515i | 0.000652846 | − | 0.000917636i | ||||
\(274\) | 475.719 | 1.73620 | ||||||||
\(275\) | −20.8981 | − | 77.9927i | −0.0759930 | − | 0.283610i | ||||
\(276\) | 0.171721 | − | 0.297430i | 0.000622179 | − | 0.00107765i | ||||
\(277\) | 19.1597 | − | 11.0619i | 0.0691686 | − | 0.0399345i | −0.465017 | − | 0.885302i | \(-0.653952\pi\) |
0.534185 | + | 0.845367i | \(0.320618\pi\) | |||||||
\(278\) | 177.208 | − | 177.208i | 0.637440 | − | 0.637440i | ||||
\(279\) | −266.132 | − | 71.3098i | −0.953877 | − | 0.255591i | ||||
\(280\) | 5.29276 | − | 19.7529i | 0.0189027 | − | 0.0705459i | ||||
\(281\) | 213.347 | + | 213.347i | 0.759241 | + | 0.759241i | 0.976184 | − | 0.216943i | \(-0.0696086\pi\) |
−0.216943 | + | 0.976184i | \(0.569609\pi\) | |||||||
\(282\) | 4.55423 | + | 7.88815i | 0.0161497 | + | 0.0279722i | ||||
\(283\) | −2.28036 | − | 1.31656i | −0.00805779 | − | 0.00465217i | 0.495966 | − | 0.868342i | \(-0.334814\pi\) |
−0.504023 | + | 0.863690i | \(0.668148\pi\) | |||||||
\(284\) | −391.817 | + | 104.987i | −1.37964 | + | 0.369673i | ||||
\(285\) | − | 0.502825i | − | 0.00176430i | ||||||
\(286\) | 554.109 | − | 457.915i | 1.93744 | − | 1.60110i | ||||
\(287\) | −40.7061 | −0.141833 | ||||||||
\(288\) | −16.9770 | − | 63.3591i | −0.0589480 | − | 0.219997i | ||||
\(289\) | −143.019 | + | 247.717i | −0.494876 | + | 0.857151i | ||||
\(290\) | −315.199 | + | 181.980i | −1.08689 | + | 0.627518i | ||||
\(291\) | 3.41379 | − | 3.41379i | 0.0117312 | − | 0.0117312i | ||||
\(292\) | 555.528 | + | 148.853i | 1.90249 | + | 0.509771i | ||||
\(293\) | −27.5961 | + | 102.990i | −0.0941847 | + | 0.351502i | −0.996895 | − | 0.0787477i | \(-0.974908\pi\) |
0.902710 | + | 0.430250i | \(0.141575\pi\) | |||||||
\(294\) | −3.87142 | − | 3.87142i | −0.0131681 | − | 0.0131681i | ||||
\(295\) | −105.005 | − | 181.874i | −0.355949 | − | 0.616522i | ||||
\(296\) | 482.518 | + | 278.582i | 1.63013 | + | 0.941155i | ||||
\(297\) | −9.25882 | + | 2.48089i | −0.0311745 | + | 0.00835318i | ||||
\(298\) | − | 559.509i | − | 1.87755i | ||||||
\(299\) | 6.11793 | − | 16.4245i | 0.0204613 | − | 0.0549316i | ||||
\(300\) | −1.27368 | −0.00424561 | ||||||||
\(301\) | −4.88508 | − | 18.2314i | −0.0162295 | − | 0.0605694i | ||||
\(302\) | 444.314 | − | 769.574i | 1.47124 | − | 2.54826i | ||||
\(303\) | −2.58023 | + | 1.48970i | −0.00851561 | + | 0.00491649i | ||||
\(304\) | 61.5664 | − | 61.5664i | 0.202521 | − | 0.202521i | ||||
\(305\) | 92.5100 | + | 24.7880i | 0.303311 | + | 0.0812720i | ||||
\(306\) | 13.7241 | − | 51.2191i | 0.0448500 | − | 0.167383i | ||||
\(307\) | −148.641 | − | 148.641i | −0.484174 | − | 0.484174i | 0.422288 | − | 0.906462i | \(-0.361227\pi\) |
−0.906462 | + | 0.422288i | \(0.861227\pi\) | |||||||
\(308\) | 44.7274 | + | 77.4701i | 0.145219 | + | 0.251526i | ||||
\(309\) | −3.04626 | − | 1.75876i | −0.00985843 | − | 0.00569177i | ||||
\(310\) | 226.432 | − | 60.6722i | 0.730425 | − | 0.195717i | ||||
\(311\) | − | 158.134i | − | 0.508469i | −0.967143 | − | 0.254234i | \(-0.918177\pi\) | ||
0.967143 | − | 0.254234i | \(-0.0818235\pi\) | |||||||
\(312\) | −2.27335 | − | 4.97224i | −0.00728638 | − | 0.0159367i | ||||
\(313\) | −145.003 | −0.463269 | −0.231634 | − | 0.972803i | \(-0.574407\pi\) | ||||
−0.231634 | + | 0.972803i | \(0.574407\pi\) | |||||||
\(314\) | −18.9091 | − | 70.5697i | −0.0602201 | − | 0.224744i | ||||
\(315\) | −7.21512 | + | 12.4969i | −0.0229051 | + | 0.0396728i | ||||
\(316\) | −278.715 | + | 160.916i | −0.882010 | + | 0.509229i | ||||
\(317\) | −385.578 | + | 385.578i | −1.21633 | + | 1.21633i | −0.247427 | + | 0.968907i | \(0.579585\pi\) |
−0.968907 | + | 0.247427i | \(0.920415\pi\) | |||||||
\(318\) | −3.47048 | − | 0.929913i | −0.0109135 | − | 0.00292425i | ||||
\(319\) | 198.683 | − | 741.494i | 0.622830 | − | 2.32443i | ||||
\(320\) | 120.220 | + | 120.220i | 0.375689 | + | 0.375689i | ||||
\(321\) | −2.12589 | − | 3.68215i | −0.00662272 | − | 0.0114709i | ||||
\(322\) | 2.86707 | + | 1.65530i | 0.00890394 | + | 0.00514069i | ||||
\(323\) | −11.3345 | + | 3.03707i | −0.0350913 | + | 0.00940269i | ||||
\(324\) | − | 625.450i | − | 1.93040i | ||||||
\(325\) | −64.0954 | + | 10.8067i | −0.197216 | + | 0.0332515i | ||||
\(326\) | −263.413 | −0.808017 | ||||||||
\(327\) | −0.973848 | − | 3.63445i | −0.00297813 | − | 0.0111145i | ||||
\(328\) | −361.938 | + | 626.895i | −1.10347 | + | 1.91127i | ||||
\(329\) | −50.0959 | + | 28.9229i | −0.152267 | + | 0.0879115i | ||||
\(330\) | 2.88324 | − | 2.88324i | 0.00873710 | − | 0.00873710i | ||||
\(331\) | 71.9790 | + | 19.2867i | 0.217459 | + | 0.0582680i | 0.365904 | − | 0.930653i | \(-0.380760\pi\) |
−0.148444 | + | 0.988921i | \(0.547427\pi\) | |||||||
\(332\) | −23.9124 | + | 89.2422i | −0.0720253 | + | 0.268802i | ||||
\(333\) | −278.007 | − | 278.007i | −0.834854 | − | 0.834854i | ||||
\(334\) | 423.058 | + | 732.758i | 1.26664 | + | 2.19388i | ||||
\(335\) | −191.283 | − | 110.438i | −0.570995 | − | 0.329664i | ||||
\(336\) | 0.291689 | − | 0.0781578i | 0.000868122 | − | 0.000232613i | ||||
\(337\) | 127.419i | 0.378098i | 0.981968 | + | 0.189049i | \(0.0605406\pi\) | ||||
−0.981968 | + | 0.189049i | \(0.939459\pi\) | |||||||
\(338\) | −324.765 | − | 478.945i | −0.960843 | − | 1.41700i | ||||
\(339\) | 4.69923 | 0.0138620 | ||||||||
\(340\) | 7.69306 | + | 28.7109i | 0.0226266 | + | 0.0844438i | ||||
\(341\) | −247.214 | + | 428.187i | −0.724967 | + | 1.25568i | ||||
\(342\) | −181.958 | + | 105.054i | −0.532042 | + | 0.307175i | ||||
\(343\) | 49.4338 | − | 49.4338i | 0.144122 | − | 0.144122i | ||||
\(344\) | −324.208 | − | 86.8714i | −0.942466 | − | 0.252533i | ||||
\(345\) | 0.0257318 | − | 0.0960325i | 7.45850e−5 | − | 0.000278355i | ||||
\(346\) | 267.461 | + | 267.461i | 0.773008 | + | 0.773008i | ||||
\(347\) | 141.151 | + | 244.481i | 0.406776 | + | 0.704557i | 0.994526 | − | 0.104486i | \(-0.0333196\pi\) |
−0.587750 | + | 0.809042i | \(0.699986\pi\) | |||||||
\(348\) | −10.4869 | − | 6.05459i | −0.0301347 | − | 0.0173983i | ||||
\(349\) | 146.454 | − | 39.2423i | 0.419640 | − | 0.112442i | −0.0428192 | − | 0.999083i | \(-0.513634\pi\) |
0.462459 | + | 0.886641i | \(0.346967\pi\) | |||||||
\(350\) | − | 12.2776i | − | 0.0350789i | ||||||
\(351\) | 1.28291 | + | 7.60902i | 0.00365501 | + | 0.0216781i | ||||
\(352\) | −117.710 | −0.334405 | ||||||||
\(353\) | 112.774 | + | 420.878i | 0.319473 | + | 1.19229i | 0.919753 | + | 0.392499i | \(0.128389\pi\) |
−0.600280 | + | 0.799790i | \(0.704944\pi\) | |||||||
\(354\) | 5.30269 | − | 9.18453i | 0.0149794 | − | 0.0259450i | ||||
\(355\) | −101.693 | + | 58.7124i | −0.286459 | + | 0.165387i | ||||
\(356\) | −518.406 | + | 518.406i | −1.45620 | + | 1.45620i | ||||
\(357\) | −0.0393116 | − | 0.0105335i | −0.000110116 | − | 2.95056e-5i | ||||
\(358\) | −188.063 | + | 701.862i | −0.525316 | + | 1.96051i | ||||
\(359\) | −121.061 | − | 121.061i | −0.337217 | − | 0.337217i | 0.518102 | − | 0.855319i | \(-0.326639\pi\) |
−0.855319 | + | 0.518102i | \(0.826639\pi\) | |||||||
\(360\) | 128.306 | + | 222.233i | 0.356406 | + | 0.617314i | ||||
\(361\) | −272.369 | − | 157.252i | −0.754484 | − | 0.435602i | ||||
\(362\) | −171.395 | + | 45.9251i | −0.473466 | + | 0.126865i | ||||
\(363\) | 4.60979i | 0.0126992i | ||||||||
\(364\) | 65.4918 | − | 29.9434i | 0.179922 | − | 0.0822621i | ||||
\(365\) | 166.488 | 0.456130 | ||||||||
\(366\) | 1.25178 | + | 4.67170i | 0.00342016 | + | 0.0127642i | ||||
\(367\) | 311.769 | − | 540.000i | 0.849507 | − | 1.47139i | −0.0321410 | − | 0.999483i | \(-0.510233\pi\) |
0.881648 | − | 0.471907i | \(-0.156434\pi\) | |||||||
\(368\) | 14.9089 | − | 8.60767i | 0.0405134 | − | 0.0233904i | ||||
\(369\) | 361.190 | − | 361.190i | 0.978836 | − | 0.978836i | ||||
\(370\) | 323.113 | + | 86.5778i | 0.873278 | + | 0.233994i | ||||
\(371\) | 5.90567 | − | 22.0403i | 0.0159183 | − | 0.0594077i | ||||
\(372\) | 5.51492 | + | 5.51492i | 0.0148250 | + | 0.0148250i | ||||
\(373\) | 333.140 | + | 577.015i | 0.893136 | + | 1.54696i | 0.836095 | + | 0.548584i | \(0.184833\pi\) |
0.0570403 | + | 0.998372i | \(0.481834\pi\) | |||||||
\(374\) | −82.4078 | − | 47.5782i | −0.220342 | − | 0.127214i | ||||
\(375\) | −0.356143 | + | 0.0954283i | −0.000949715 | + | 0.000254475i | ||||
\(376\) | 1028.67i | 2.73583i | ||||||||
\(377\) | −579.100 | − | 215.707i | −1.53607 | − | 0.572168i | ||||
\(378\) | −1.45752 | −0.00385588 | ||||||||
\(379\) | 99.5832 | + | 371.649i | 0.262752 | + | 0.980605i | 0.963612 | + | 0.267306i | \(0.0861334\pi\) |
−0.700859 | + | 0.713299i | \(0.747200\pi\) | |||||||
\(380\) | 58.8880 | − | 101.997i | 0.154968 | − | 0.268413i | ||||
\(381\) | −2.82650 | + | 1.63188i | −0.00741864 | + | 0.00428316i | ||||
\(382\) | 461.752 | − | 461.752i | 1.20877 | − | 1.20877i | ||||
\(383\) | −7.17101 | − | 1.92147i | −0.0187233 | − | 0.00501689i | 0.249445 | − | 0.968389i | \(-0.419752\pi\) |
−0.268169 | + | 0.963372i | \(0.586418\pi\) | |||||||
\(384\) | −1.97330 | + | 7.36446i | −0.00513881 | + | 0.0191783i | ||||
\(385\) | 18.3108 | + | 18.3108i | 0.0475606 | + | 0.0475606i | ||||
\(386\) | −38.9300 | − | 67.4288i | −0.100855 | − | 0.174686i | ||||
\(387\) | 205.115 | + | 118.423i | 0.530014 | + | 0.306004i | ||||
\(388\) | 1092.28 | − | 292.676i | 2.81516 | − | 0.754320i | ||||
\(389\) | − | 15.5965i | − | 0.0400938i | −0.999799 | − | 0.0200469i | \(-0.993618\pi\) | ||
0.999799 | − | 0.0200469i | \(-0.00638155\pi\) | |||||||
\(390\) | −2.09101 | − | 2.53027i | −0.00536156 | − | 0.00648786i | ||||
\(391\) | −2.32015 | −0.00593389 | ||||||||
\(392\) | −160.034 | − | 597.256i | −0.408251 | − | 1.52361i | ||||
\(393\) | 1.59235 | − | 2.75802i | 0.00405177 | − | 0.00701787i | ||||
\(394\) | 365.450 | − | 210.993i | 0.927538 | − | 0.535514i | ||||
\(395\) | −65.8771 | + | 65.8771i | −0.166777 | + | 0.166777i | ||||
\(396\) | −1084.27 | − | 290.530i | −2.73807 | − | 0.733663i | ||||
\(397\) | 48.6200 | − | 181.452i | 0.122469 | − | 0.457059i | −0.877268 | − | 0.480000i | \(-0.840637\pi\) |
0.999737 | + | 0.0229416i | \(0.00730317\pi\) | |||||||
\(398\) | 65.9918 | + | 65.9918i | 0.165809 | + | 0.165809i | ||||
\(399\) | 0.0806307 | + | 0.139656i | 0.000202082 | + | 0.000350016i | ||||
\(400\) | −55.2908 | − | 31.9222i | −0.138227 | − | 0.0798054i | ||||
\(401\) | 293.349 | − | 78.6027i | 0.731544 | − | 0.196017i | 0.126227 | − | 0.992001i | \(-0.459713\pi\) |
0.605317 | + | 0.795985i | \(0.293046\pi\) | |||||||
\(402\) | − | 11.1541i | − | 0.0277464i | ||||||
\(403\) | 324.318 | + | 230.734i | 0.804761 | + | 0.572542i | ||||
\(404\) | −697.858 | −1.72737 | ||||||||
\(405\) | −46.8607 | − | 174.887i | −0.115705 | − | 0.431819i | ||||
\(406\) | 58.3630 | − | 101.088i | 0.143751 | − | 0.248984i | ||||
\(407\) | −611.013 | + | 352.769i | −1.50126 | + | 0.866753i | ||||
\(408\) | −0.511760 | + | 0.511760i | −0.00125431 | + | 0.00125431i | ||||
\(409\) | −124.212 | − | 33.2825i | −0.303697 | − | 0.0813753i | 0.103752 | − | 0.994603i | \(-0.466915\pi\) |
−0.407449 | + | 0.913228i | \(0.633582\pi\) | |||||||
\(410\) | −112.483 | + | 419.793i | −0.274349 | + | 1.02389i | ||||
\(411\) | 3.23979 | + | 3.23979i | 0.00788269 | + | 0.00788269i | ||||
\(412\) | −411.951 | − | 713.519i | −0.999880 | − | 1.73184i | ||||
\(413\) | 58.3289 | + | 33.6762i | 0.141232 | + | 0.0815405i | ||||
\(414\) | −40.1276 | + | 10.7521i | −0.0969265 | + | 0.0259714i | ||||
\(415\) | 26.7452i | 0.0644463i | ||||||||
\(416\) | −8.96649 | + | 94.3334i | −0.0215541 | + | 0.226763i | ||||
\(417\) | 2.41368 | 0.00578819 | ||||||||
\(418\) | 97.5861 | + | 364.196i | 0.233460 | + | 0.871283i | ||||
\(419\) | 82.0055 | − | 142.038i | 0.195717 | − | 0.338992i | −0.751418 | − | 0.659826i | \(-0.770630\pi\) |
0.947135 | + | 0.320834i | \(0.103963\pi\) | |||||||
\(420\) | 0.353757 | − | 0.204242i | 0.000842278 | − | 0.000486290i | ||||
\(421\) | 32.1013 | − | 32.1013i | 0.0762501 | − | 0.0762501i | −0.667953 | − | 0.744203i | \(-0.732829\pi\) |
0.744203 | + | 0.667953i | \(0.232829\pi\) | |||||||
\(422\) | 90.7891 | + | 24.3269i | 0.215140 | + | 0.0576466i | ||||
\(423\) | 187.871 | − | 701.144i | 0.444139 | − | 1.65755i | ||||
\(424\) | −286.921 | − | 286.921i | −0.676701 | − | 0.676701i | ||||
\(425\) | 4.30222 | + | 7.45166i | 0.0101229 | + | 0.0175333i | ||||
\(426\) | −5.13543 | − | 2.96494i | −0.0120550 | − | 0.00695996i | ||||
\(427\) | −29.6689 | + | 7.94976i | −0.0694822 | + | 0.0186177i | ||||
\(428\) | − | 995.889i | − | 2.32684i | ||||||
\(429\) | 6.89217 | + | 0.655109i | 0.0160657 | + | 0.00152706i | ||||
\(430\) | −201.515 | −0.468640 | ||||||||
\(431\) | −60.7510 | − | 226.726i | −0.140953 | − | 0.526046i | −0.999902 | − | 0.0139840i | \(-0.995549\pi\) |
0.858949 | − | 0.512062i | \(-0.171118\pi\) | |||||||
\(432\) | −3.78961 | + | 6.56379i | −0.00877224 | + | 0.0151940i | ||||
\(433\) | 75.0171 | − | 43.3111i | 0.173250 | − | 0.100026i | −0.410868 | − | 0.911695i | \(-0.634774\pi\) |
0.584117 | + | 0.811669i | \(0.301441\pi\) | |||||||
\(434\) | −53.1608 | + | 53.1608i | −0.122490 | + | 0.122490i | ||||
\(435\) | −3.38593 | − | 0.907258i | −0.00778375 | − | 0.00208565i | ||||
\(436\) | 228.103 | − | 851.291i | 0.523172 | − | 1.95250i | ||||
\(437\) | 6.50062 | + | 6.50062i | 0.0148756 | + | 0.0148756i | ||||
\(438\) | 4.20376 | + | 7.28113i | 0.00959763 | + | 0.0166236i | ||||
\(439\) | 94.1234 | + | 54.3422i | 0.214404 | + | 0.123786i | 0.603357 | − | 0.797472i | \(-0.293830\pi\) |
−0.388952 | + | 0.921258i | \(0.627163\pi\) | |||||||
\(440\) | 444.807 | − | 119.186i | 1.01093 | − | 0.270877i | ||||
\(441\) | 436.319i | 0.989385i | ||||||||
\(442\) | −44.4066 | + | 62.4176i | −0.100467 | + | 0.141216i | ||||
\(443\) | 355.262 | 0.801945 | 0.400973 | − | 0.916090i | \(-0.368672\pi\) | ||||
0.400973 | + | 0.916090i | \(0.368672\pi\) | |||||||
\(444\) | 2.88050 | + | 10.7502i | 0.00648760 | + | 0.0242121i | ||||
\(445\) | −106.114 | + | 183.796i | −0.238460 | + | 0.413024i | ||||
\(446\) | 89.8721 | − | 51.8877i | 0.201507 | − | 0.116340i | ||||
\(447\) | 3.81042 | − | 3.81042i | 0.00852442 | − | 0.00852442i | ||||
\(448\) | −52.6684 | − | 14.1125i | −0.117563 | − | 0.0315010i | ||||
\(449\) | 54.9003 | − | 204.891i | 0.122272 | − | 0.456327i | −0.877455 | − | 0.479658i | \(-0.840761\pi\) |
0.999728 | + | 0.0233313i | \(0.00742726\pi\) | |||||||
\(450\) | 108.941 | + | 108.941i | 0.242091 | + | 0.242091i | ||||
\(451\) | −458.323 | − | 793.838i | −1.01624 | − | 1.76017i | ||||
\(452\) | 953.227 | + | 550.346i | 2.10891 | + | 1.21758i | ||||
\(453\) | 8.26692 | − | 2.21512i | 0.0182493 | − | 0.00488988i | ||||
\(454\) | 1286.40i | 2.83348i | ||||||||
\(455\) | 16.0692 | − | 13.2795i | 0.0353168 | − | 0.0291858i | ||||
\(456\) | 2.86771 | 0.00628883 | ||||||||
\(457\) | −81.5684 | − | 304.417i | −0.178487 | − | 0.666121i | −0.995931 | − | 0.0901143i | \(-0.971277\pi\) |
0.817445 | − | 0.576007i | \(-0.195390\pi\) | |||||||
\(458\) | 400.284 | − | 693.312i | 0.873983 | − | 1.51378i | ||||
\(459\) | 0.884617 | − | 0.510734i | 0.00192727 | − | 0.00111271i | ||||
\(460\) | 16.4664 | − | 16.4664i | 0.0357965 | − | 0.0357965i | ||||
\(461\) | 673.308 | + | 180.412i | 1.46054 | + | 0.391350i | 0.899676 | − | 0.436559i | \(-0.143803\pi\) |
0.560862 | + | 0.827909i | \(0.310470\pi\) | |||||||
\(462\) | −0.338459 | + | 1.26315i | −0.000732595 | + | 0.00273408i | ||||
\(463\) | 645.269 | + | 645.269i | 1.39367 | + | 1.39367i | 0.816923 | + | 0.576746i | \(0.195678\pi\) |
0.576746 | + | 0.816923i | \(0.304322\pi\) | |||||||
\(464\) | −303.491 | − | 525.662i | −0.654076 | − | 1.13289i | ||||
\(465\) | 1.95526 | + | 1.12887i | 0.00420486 | + | 0.00242768i | ||||
\(466\) | −384.358 | + | 102.988i | −0.824802 | + | 0.221005i | ||||
\(467\) | 571.015i | 1.22273i | 0.791349 | + | 0.611365i | \(0.209379\pi\) | ||||
−0.791349 | + | 0.611365i | \(0.790621\pi\) | |||||||
\(468\) | −315.425 | + | 846.808i | −0.673986 | + | 1.80942i | ||||
\(469\) | 70.8370 | 0.151038 | ||||||||
\(470\) | 159.845 | + | 596.551i | 0.340097 | + | 1.26926i | ||||
\(471\) | 0.351824 | − | 0.609376i | 0.000746972 | − | 0.00129379i | ||||
\(472\) | 1037.26 | − | 598.864i | 2.19759 | − | 1.26878i | ||||
\(473\) | 300.540 | − | 300.540i | 0.635392 | − | 0.635392i | ||||
\(474\) | −4.54443 | − | 1.21768i | −0.00958741 | − | 0.00256894i | ||||
\(475\) | 8.82414 | − | 32.9321i | 0.0185771 | − | 0.0693308i | ||||
\(476\) | −6.74064 | − | 6.74064i | −0.0141610 | − | 0.0141610i | ||||
\(477\) | 143.164 | + | 247.968i | 0.300135 | + | 0.519849i | ||||
\(478\) | −943.409 | − | 544.677i | −1.97366 | − | 1.13949i | ||||
\(479\) | 40.3383 | − | 10.8086i | 0.0842137 | − | 0.0225650i | −0.216466 | − | 0.976290i | \(-0.569453\pi\) |
0.300680 | + | 0.953725i | \(0.402786\pi\) | |||||||
\(480\) | 0.537509i | 0.00111981i | ||||||||
\(481\) | 236.166 | + | 516.539i | 0.490990 | + | 1.07389i | ||||
\(482\) | −595.196 | −1.23485 | ||||||||
\(483\) | 0.00825247 | + | 0.0307986i | 1.70859e−5 | + | 6.37653e-5i | ||||
\(484\) | −539.872 | + | 935.086i | −1.11544 | + | 1.93200i | ||||
\(485\) | 283.492 | − | 163.674i | 0.584520 | − | 0.337473i | ||||
\(486\) | 19.3996 | − | 19.3996i | 0.0399169 | − | 0.0399169i | ||||
\(487\) | −355.398 | − | 95.2286i | −0.729770 | − | 0.195541i | −0.125243 | − | 0.992126i | \(-0.539971\pi\) |
−0.604527 | + | 0.796585i | \(0.706638\pi\) | |||||||
\(488\) | −141.371 | + | 527.602i | −0.289694 | + | 1.08115i | ||||
\(489\) | −1.79392 | − | 1.79392i | −0.00366855 | − | 0.00366855i | ||||
\(490\) | −185.616 | − | 321.496i | −0.378807 | − | 0.656113i | ||||
\(491\) | 274.278 | + | 158.355i | 0.558612 | + | 0.322515i | 0.752588 | − | 0.658491i | \(-0.228805\pi\) |
−0.193976 | + | 0.981006i | \(0.562138\pi\) | |||||||
\(492\) | −13.9668 | + | 3.74239i | −0.0283878 | + | 0.00760648i | ||||
\(493\) | 81.8043i | 0.165932i | ||||||||
\(494\) | 299.301 | − | 50.4633i | 0.605872 | − | 0.102152i | ||||
\(495\) | −324.949 | −0.656462 | ||||||||
\(496\) | 101.184 | + | 377.623i | 0.204000 | + | 0.761337i | ||||
\(497\) | 18.8297 | − | 32.6140i | 0.0378867 | − | 0.0656217i | ||||
\(498\) | −1.16967 | + | 0.675309i | −0.00234873 | + | 0.00135604i | ||||
\(499\) | 426.657 | − | 426.657i | 0.855023 | − | 0.855023i | −0.135723 | − | 0.990747i | \(-0.543336\pi\) |
0.990747 | + | 0.135723i | \(0.0433358\pi\) | |||||||
\(500\) | −83.4188 | − | 22.3520i | −0.166838 | − | 0.0447040i | ||||
\(501\) | −2.10914 | + | 7.87143i | −0.00420987 | + | 0.0157114i | ||||
\(502\) | 405.399 | + | 405.399i | 0.807568 | + | 0.807568i | ||||
\(503\) | −368.899 | − | 638.951i | −0.733397 | − | 1.27028i | −0.955423 | − | 0.295240i | \(-0.904600\pi\) |
0.222026 | − | 0.975041i | \(-0.428733\pi\) | |||||||
\(504\) | −71.2725 | − | 41.1492i | −0.141414 | − | 0.0816452i | ||||
\(505\) | −195.133 | + | 52.2857i | −0.386402 | + | 0.103536i | ||||
\(506\) | 74.5502i | 0.147332i | ||||||||
\(507\) | 1.05001 | − | 5.47350i | 0.00207103 | − | 0.0107959i | ||||
\(508\) | −764.466 | −1.50486 | ||||||||
\(509\) | −21.0926 | − | 78.7186i | −0.0414392 | − | 0.154653i | 0.942106 | − | 0.335315i | \(-0.108843\pi\) |
−0.983545 | + | 0.180662i | \(0.942176\pi\) | |||||||
\(510\) | −0.217259 | + | 0.376304i | −0.000425999 | + | 0.000737852i | ||||
\(511\) | −46.2408 | + | 26.6972i | −0.0904908 | + | 0.0522449i | ||||
\(512\) | −526.388 | + | 526.388i | −1.02810 | + | 1.02810i | ||||
\(513\) | −3.90951 | − | 1.04755i | −0.00762087 | − | 0.00204201i | ||||
\(514\) | −165.496 | + | 617.640i | −0.321977 | + | 1.20163i | ||||
\(515\) | −168.647 | − | 168.647i | −0.327471 | − | 0.327471i | ||||
\(516\) | −3.35227 | − | 5.80630i | −0.00649664 | − | 0.0112525i | ||||
\(517\) | −1128.09 | − | 651.303i | −2.18199 | − | 1.25977i | ||||
\(518\) | −103.626 | + | 27.7664i | −0.200050 | + | 0.0536031i | ||||
\(519\) | 3.64297i | 0.00701920i | ||||||||
\(520\) | −61.6328 | − | 365.548i | −0.118525 | − | 0.702977i | ||||
\(521\) | 461.334 | 0.885477 | 0.442739 | − | 0.896651i | \(-0.354007\pi\) | ||||
0.442739 | + | 0.896651i | \(0.354007\pi\) | |||||||
\(522\) | 379.102 | + | 1414.83i | 0.726248 | + | 2.71040i | ||||
\(523\) | −297.903 | + | 515.982i | −0.569603 | + | 0.986582i | 0.427002 | + | 0.904251i | \(0.359570\pi\) |
−0.996605 | + | 0.0823312i | \(0.973763\pi\) | |||||||
\(524\) | 646.007 | − | 372.972i | 1.23284 | − | 0.711779i | ||||
\(525\) | 0.0836140 | − | 0.0836140i | 0.000159265 | − | 0.000159265i | ||||
\(526\) | −463.364 | − | 124.158i | −0.880919 | − | 0.236042i | ||||
\(527\) | 13.6368 | − | 50.8931i | 0.0258762 | − | 0.0965714i | ||||
\(528\) | 4.80843 | + | 4.80843i | 0.00910687 | + | 0.00910687i | ||||
\(529\) | −263.591 | − | 456.553i | −0.498282 | − | 0.863050i | ||||
\(530\) | −210.977 | − | 121.808i | −0.398071 | − | 0.229826i | ||||
\(531\) | −816.374 | + | 218.747i | −1.53743 | + | 0.411952i | ||||
\(532\) | 37.7720i | 0.0709999i | ||||||||
\(533\) | −671.095 | + | 306.831i | −1.25909 | + | 0.575667i | ||||
\(534\) | −10.7174 | −0.0200701 | ||||||||
\(535\) | −74.6151 | − | 278.467i | −0.139468 | − | 0.520500i | ||||
\(536\) | 629.847 | − | 1090.93i | 1.17509 | − | 2.03531i | ||||
\(537\) | −6.06064 | + | 3.49911i | −0.0112861 | + | 0.00651604i | ||||
\(538\) | −119.267 | + | 119.267i | −0.221686 | + | 0.221686i | ||||
\(539\) | 756.306 | + | 202.652i | 1.40317 | + | 0.375977i | ||||
\(540\) | −2.65350 | + | 9.90299i | −0.00491388 | + | 0.0183389i | ||||
\(541\) | 257.907 | + | 257.907i | 0.476723 | + | 0.476723i | 0.904082 | − | 0.427359i | \(-0.140556\pi\) |
−0.427359 | + | 0.904082i | \(0.640556\pi\) | |||||||
\(542\) | −798.542 | − | 1383.11i | −1.47332 | − | 2.55187i | ||||
\(543\) | −1.48001 | − | 0.854485i | −0.00272562 | − | 0.00157364i | ||||
\(544\) | 12.1163 | − | 3.24656i | 0.0222727 | − | 0.00596794i | ||||
\(545\) | − | 255.126i | − | 0.468121i | ||||||
\(546\) | 0.986505 | + | 0.367460i | 0.00180679 | + | 0.000673005i | ||||
\(547\) | 700.642 | 1.28088 | 0.640441 | − | 0.768007i | \(-0.278752\pi\) | ||||
0.640441 | + | 0.768007i | \(0.278752\pi\) | |||||||
\(548\) | 277.758 | + | 1036.61i | 0.506858 | + | 1.89162i | ||||
\(549\) | 192.717 | − | 333.795i | 0.351033 | − | 0.608006i | ||||
\(550\) | 239.434 | − | 138.237i | 0.435335 | − | 0.251341i | ||||
\(551\) | 229.200 | − | 229.200i | 0.415971 | − | 0.415971i | ||||
\(552\) | 0.547692 | + | 0.146754i | 0.000992195 | + | 0.000265858i | ||||
\(553\) | 7.73320 | − | 28.8607i | 0.0139841 | − | 0.0521893i | ||||
\(554\) | 53.5660 | + | 53.5660i | 0.0966894 | + | 0.0966894i | ||||
\(555\) | 1.61087 | + | 2.79011i | 0.00290247 | + | 0.00502723i | ||||
\(556\) | 489.609 | + | 282.676i | 0.880591 | + | 0.508410i | ||||
\(557\) | 349.414 | − | 93.6252i | 0.627314 | − | 0.168088i | 0.0688635 | − | 0.997626i | \(-0.478063\pi\) |
0.558451 | + | 0.829538i | \(0.311396\pi\) | |||||||
\(558\) | − | 943.405i | − | 1.69069i | ||||||
\(559\) | −217.960 | − | 263.747i | −0.389911 | − | 0.471819i | ||||
\(560\) | 20.4755 | 0.0365635 | ||||||||
\(561\) | −0.237200 | − | 0.885242i | −0.000422816 | − | 0.00157797i | ||||
\(562\) | −516.555 | + | 894.700i | −0.919137 | + | 1.59199i | ||||
\(563\) | −720.971 | + | 416.253i | −1.28059 | + | 0.739348i | −0.976956 | − | 0.213441i | \(-0.931533\pi\) |
−0.303632 | + | 0.952789i | \(0.598199\pi\) | |||||||
\(564\) | −14.5295 | + | 14.5295i | −0.0257615 | + | 0.0257615i | ||||
\(565\) | 307.772 | + | 82.4673i | 0.544730 | + | 0.145960i | ||||
\(566\) | 2.33353 | − | 8.70886i | 0.00412285 | − | 0.0153867i | ||||
\(567\) | 41.0592 | + | 41.0592i | 0.0724149 | + | 0.0724149i | ||||
\(568\) | −334.848 | − | 579.974i | −0.589521 | − | 1.02108i | ||||
\(569\) | −744.104 | − | 429.609i | −1.30774 | − | 0.755024i | −0.326021 | − | 0.945362i | \(-0.605708\pi\) |
−0.981719 | + | 0.190338i | \(0.939041\pi\) | |||||||
\(570\) | 1.66305 | − | 0.445614i | 0.00291764 | − | 0.000781779i | ||||
\(571\) | − | 835.548i | − | 1.46331i | −0.681677 | − | 0.731654i | \(-0.738749\pi\) | ||
0.681677 | − | 0.731654i | \(-0.261251\pi\) | |||||||
\(572\) | 1321.34 | + | 940.058i | 2.31003 | + | 1.64346i | ||||
\(573\) | 6.28932 | 0.0109761 | ||||||||
\(574\) | −36.0746 | − | 134.632i | −0.0628477 | − | 0.234551i | ||||
\(575\) | 3.37057 | − | 5.83800i | 0.00586186 | − | 0.0101530i | ||||
\(576\) | 592.555 | − | 342.112i | 1.02874 | − | 0.593944i | ||||
\(577\) | −105.641 | + | 105.641i | −0.183087 | + | 0.183087i | −0.792699 | − | 0.609613i | \(-0.791325\pi\) |
0.609613 | + | 0.792699i | \(0.291325\pi\) | |||||||
\(578\) | −946.049 | − | 253.493i | −1.63676 | − | 0.438570i | ||||
\(579\) | 0.194085 | − | 0.724334i | 0.000335207 | − | 0.00125101i | ||||
\(580\) | −580.576 | − | 580.576i | −1.00099 | − | 1.00099i | ||||
\(581\) | −4.28874 | − | 7.42831i | −0.00738165 | − | 0.0127854i | ||||
\(582\) | 14.3162 | + | 8.26546i | 0.0245983 | + | 0.0142018i | ||||
\(583\) | 496.316 | − | 132.988i | 0.851314 | − | 0.228109i | ||||
\(584\) | 949.510i | 1.62587i | ||||||||
\(585\) | −24.7527 | + | 260.415i | −0.0423123 | + | 0.445153i | ||||
\(586\) | −365.088 | −0.623017 | ||||||||
\(587\) | 89.8610 | + | 335.366i | 0.153085 | + | 0.571322i | 0.999262 | + | 0.0384190i | \(0.0122322\pi\) |
−0.846177 | + | 0.532903i | \(0.821101\pi\) | |||||||
\(588\) | 6.17554 | − | 10.6964i | 0.0105026 | − | 0.0181911i | ||||
\(589\) | −180.800 | + | 104.385i | −0.306962 | + | 0.177224i | ||||
\(590\) | 508.476 | − | 508.476i | 0.861824 | − | 0.861824i | ||||
\(591\) | 3.92574 | + | 1.05190i | 0.00664253 | + | 0.00177986i | ||||
\(592\) | −144.387 | + | 538.860i | −0.243897 | + | 0.910237i | ||||
\(593\) | −143.809 | − | 143.809i | −0.242511 | − | 0.242511i | 0.575377 | − | 0.817888i | \(-0.304855\pi\) |
−0.817888 | + | 0.575377i | \(0.804855\pi\) | |||||||
\(594\) | −16.4107 | − | 28.4242i | −0.0276275 | − | 0.0478522i | ||||
\(595\) | −2.38983 | − | 1.37977i | −0.00401651 | − | 0.00231894i | ||||
\(596\) | 1219.19 | − | 326.680i | 2.04562 | − | 0.548122i | ||||
\(597\) | 0.898846i | 0.00150560i | ||||||||
\(598\) | 59.7447 | + | 5.67880i | 0.0999075 | + | 0.00949632i | ||||
\(599\) | −927.612 | −1.54860 | −0.774300 | − | 0.632818i | \(-0.781898\pi\) | ||||
−0.774300 | + | 0.632818i | \(0.781898\pi\) | |||||||
\(600\) | −0.544246 | − | 2.03115i | −0.000907076 | − | 0.00338525i | ||||
\(601\) | 53.2308 | − | 92.1984i | 0.0885703 | − | 0.153408i | −0.818337 | − | 0.574739i | \(-0.805104\pi\) |
0.906907 | + | 0.421331i | \(0.138437\pi\) | |||||||
\(602\) | 55.9696 | − | 32.3140i | 0.0929727 | − | 0.0536778i | ||||
\(603\) | −628.546 | + | 628.546i | −1.04236 | + | 1.04236i | ||||
\(604\) | 1936.35 | + | 518.843i | 3.20587 | + | 0.859011i | ||||
\(605\) | −80.8978 | + | 301.915i | −0.133715 | + | 0.499033i | ||||
\(606\) | −7.21370 | − | 7.21370i | −0.0119038 | − | 0.0119038i | ||||
\(607\) | 591.121 | + | 1023.85i | 0.973841 | + | 1.68674i | 0.683709 | + | 0.729755i | \(0.260366\pi\) |
0.290132 | + | 0.956987i | \(0.406301\pi\) | |||||||
\(608\) | −43.0439 | − | 24.8514i | −0.0707959 | − | 0.0408740i | ||||
\(609\) | 1.08590 | − | 0.290967i | 0.00178309 | − | 0.000477779i | ||||
\(610\) | 327.937i | 0.537601i | ||||||||
\(611\) | −607.887 | + | 854.441i | −0.994905 | + | 1.39843i | ||||
\(612\) | 119.621 | 0.195459 | ||||||||
\(613\) | −185.093 | − | 690.777i | −0.301947 | − | 1.12688i | −0.935542 | − | 0.353215i | \(-0.885088\pi\) |
0.633595 | − | 0.773665i | \(-0.281578\pi\) | |||||||
\(614\) | 359.890 | − | 623.348i | 0.586140 | − | 1.01522i | ||||
\(615\) | −3.62496 | + | 2.09287i | −0.00589424 | + | 0.00340304i | ||||
\(616\) | −104.430 | + | 104.430i | −0.169530 | + | 0.169530i | ||||
\(617\) | −709.503 | − | 190.111i | −1.14992 | − | 0.308121i | −0.366989 | − | 0.930225i | \(-0.619611\pi\) |
−0.782934 | + | 0.622104i | \(0.786278\pi\) | |||||||
\(618\) | 3.11729 | − | 11.6339i | 0.00504416 | − | 0.0188251i | ||||
\(619\) | 446.560 | + | 446.560i | 0.721421 | + | 0.721421i | 0.968895 | − | 0.247474i | \(-0.0796003\pi\) |
−0.247474 | + | 0.968895i | \(0.579600\pi\) | |||||||
\(620\) | 264.413 | + | 457.977i | 0.426473 | + | 0.738673i | ||||
\(621\) | −0.693053 | − | 0.400134i | −0.00111603 | − | 0.000644338i | ||||
\(622\) | 523.015 | − | 140.141i | 0.840860 | − | 0.225308i | ||||
\(623\) | − | 68.0641i | − | 0.109252i | ||||||
\(624\) | 4.21976 | − | 3.48720i | 0.00676244 | − | 0.00558847i | ||||
\(625\) | −25.0000 | −0.0400000 | ||||||||
\(626\) | −128.505 | − | 479.586i | −0.205279 | − | 0.766112i | ||||
\(627\) | −1.81569 | + | 3.14487i | −0.00289584 | + | 0.00501574i | ||||
\(628\) | 142.733 | − | 82.4071i | 0.227282 | − | 0.131221i | ||||
\(629\) | 53.1640 | − | 53.1640i | 0.0845214 | − | 0.0845214i | ||||
\(630\) | −47.7268 | − | 12.7884i | −0.0757569 | − | 0.0202990i | ||||
\(631\) | 16.5174 | − | 61.6436i | 0.0261765 | − | 0.0976920i | −0.951602 | − | 0.307334i | \(-0.900563\pi\) |
0.977778 | + | 0.209642i | \(0.0672298\pi\) | |||||||
\(632\) | −375.710 | − | 375.710i | −0.594477 | − | 0.594477i | ||||
\(633\) | 0.452627 | + | 0.783973i | 0.000715050 | + | 0.00123850i | ||||
\(634\) | −1616.97 | − | 933.561i | −2.55043 | − | 1.47249i | ||||
\(635\) | −213.758 | + | 57.2762i | −0.336626 | + | 0.0901988i | ||||
\(636\) | − | 8.10524i | − | 0.0127441i | ||||||
\(637\) | 220.016 | − | 590.668i | 0.345395 | − | 0.927266i | ||||
\(638\) | 2628.51 | 4.11992 | ||||||||
\(639\) | 122.310 | + | 456.466i | 0.191408 | + | 0.714344i | ||||
\(640\) | −258.480 | + | 447.700i | −0.403874 | + | 0.699531i | ||||
\(641\) | 581.799 | − | 335.902i | 0.907643 | − | 0.524028i | 0.0279707 | − | 0.999609i | \(-0.491096\pi\) |
0.879672 | + | 0.475581i | \(0.157762\pi\) | |||||||
\(642\) | 10.2944 | − | 10.2944i | 0.0160349 | − | 0.0160349i | ||||
\(643\) | 533.905 | + | 143.059i | 0.830334 | + | 0.222487i | 0.648859 | − | 0.760908i | \(-0.275246\pi\) |
0.181475 | + | 0.983396i | \(0.441913\pi\) | |||||||
\(644\) | −1.93296 | + | 7.21391i | −0.00300149 | + | 0.0112017i | ||||
\(645\) | −1.37238 | − | 1.37238i | −0.00212772 | − | 0.00212772i | ||||
\(646\) | −20.0897 | − | 34.7964i | −0.0310987 | − | 0.0538644i | ||||
\(647\) | 211.383 | + | 122.042i | 0.326713 | + | 0.188628i | 0.654381 | − | 0.756165i | \(-0.272929\pi\) |
−0.327668 | + | 0.944793i | \(0.606263\pi\) | |||||||
\(648\) | 997.411 | − | 267.256i | 1.53921 | − | 0.412431i | ||||
\(649\) | 1516.68i | 2.33696i | ||||||||
\(650\) | −92.5450 | − | 202.413i | −0.142377 | − | 0.311405i | ||||
\(651\) | −0.724081 | −0.00111226 | ||||||||
\(652\) | −153.799 | − | 573.986i | −0.235888 | − | 0.880347i | ||||
\(653\) | 552.758 | − | 957.406i | 0.846491 | − | 1.46617i | −0.0378295 | − | 0.999284i | \(-0.512044\pi\) |
0.884320 | − | 0.466881i | \(-0.154622\pi\) | |||||||
\(654\) | 11.1576 | − | 6.44185i | 0.0170606 | − | 0.00984992i | ||||
\(655\) | 152.690 | − | 152.690i | 0.233115 | − | 0.233115i | ||||
\(656\) | −700.095 | − | 187.590i | −1.06722 | − | 0.285960i | ||||
\(657\) | 173.414 | − | 647.188i | 0.263948 | − | 0.985066i | ||||
\(658\) | −140.056 | − | 140.056i | −0.212851 | − | 0.212851i | ||||
\(659\) | 352.219 | + | 610.061i | 0.534475 | + | 0.925737i | 0.999189 | + | 0.0402762i | \(0.0128238\pi\) |
−0.464714 | + | 0.885461i | \(0.653843\pi\) | |||||||
\(660\) | 7.96612 | + | 4.59924i | 0.0120699 | + | 0.00696855i | ||||
\(661\) | −1116.82 | + | 299.251i | −1.68959 | + | 0.452724i | −0.970284 | − | 0.241968i | \(-0.922207\pi\) |
−0.719307 | + | 0.694693i | \(0.755540\pi\) | |||||||
\(662\) | 255.157i | 0.385434i | ||||||||
\(663\) | −0.727503 | + | 0.122660i | −0.00109729 | + | 0.000185007i | ||||
\(664\) | −152.533 | −0.229719 | ||||||||
\(665\) | 2.82999 | + | 10.5617i | 0.00425563 | + | 0.0158822i | ||||
\(666\) | 673.109 | − | 1165.86i | 1.01067 | − | 1.75054i | ||||
\(667\) | 55.5032 | − | 32.0448i | 0.0832132 | − | 0.0480432i | ||||
\(668\) | −1349.69 | + | 1349.69i | −2.02050 | + | 2.02050i | ||||
\(669\) | 0.965424 | + | 0.258685i | 0.00144309 | + | 0.000386674i | ||||
\(670\) | 195.744 | − | 730.527i | 0.292155 | − | 1.09034i | ||||
\(671\) | −489.085 | − | 489.085i | −0.728890 | − | 0.728890i | ||||
\(672\) | −0.0861924 | − | 0.149290i | −0.000128263 | − | 0.000222157i | ||||
\(673\) | 802.800 | + | 463.497i | 1.19287 | + | 0.688703i | 0.958956 | − | 0.283555i | \(-0.0915139\pi\) |
0.233912 | + | 0.972258i | \(0.424847\pi\) | |||||||
\(674\) | −421.429 | + | 112.921i | −0.625265 | + | 0.167539i | ||||
\(675\) | 2.96785i | 0.00439682i | ||||||||
\(676\) | 854.016 | − | 987.315i | 1.26334 | − | 1.46053i | ||||
\(677\) | −168.337 | −0.248651 | −0.124326 | − | 0.992241i | \(-0.539677\pi\) | ||||
−0.124326 | + | 0.992241i | \(0.539677\pi\) | |||||||
\(678\) | 4.16455 | + | 15.5423i | 0.00614240 | + | 0.0229238i | ||||
\(679\) | −52.4921 | + | 90.9190i | −0.0773079 | + | 0.133901i | ||||
\(680\) | −42.4982 | + | 24.5364i | −0.0624974 | + | 0.0360829i | ||||
\(681\) | −8.76074 | + | 8.76074i | −0.0128645 | + | 0.0128645i | ||||
\(682\) | −1635.28 | − | 438.172i | −2.39777 | − | 0.642481i | ||||
\(683\) | 96.5064 | − | 360.167i | 0.141298 | − | 0.527331i | −0.858595 | − | 0.512655i | \(-0.828662\pi\) |
0.999892 | − | 0.0146753i | \(-0.00467146\pi\) | |||||||
\(684\) | −335.156 | − | 335.156i | −0.489994 | − | 0.489994i | ||||
\(685\) | 155.332 | + | 269.043i | 0.226762 | + | 0.392763i | ||||
\(686\) | 207.308 | + | 119.689i | 0.302198 | + | 0.174474i | ||||
\(687\) | 7.44770 | − | 1.99561i | 0.0108409 | − | 0.00290481i | ||||
\(688\) | − | 336.070i | − | 0.488474i | ||||||
\(689\) | −68.7700 | − | 407.879i | −0.0998113 | − | 0.591987i | ||||
\(690\) | 0.340424 | 0.000493368 | ||||||||
\(691\) | 186.588 | + | 696.355i | 0.270026 | + | 1.00775i | 0.959102 | + | 0.283061i | \(0.0913497\pi\) |
−0.689076 | + | 0.724689i | \(0.741984\pi\) | |||||||
\(692\) | −426.643 | + | 738.967i | −0.616536 | + | 1.06787i | ||||
\(693\) | 90.2524 | − | 52.1073i | 0.130234 | − | 0.0751909i | ||||
\(694\) | −683.511 | + | 683.511i | −0.984886 | + | 0.984886i | ||||
\(695\) | 158.082 | + | 42.3579i | 0.227456 | + | 0.0609466i | ||||
\(696\) | 5.17427 | − | 19.3106i | 0.00743429 | − | 0.0277452i | ||||
\(697\) | 69.0715 | + | 69.0715i | 0.0990982 | + | 0.0990982i | ||||
\(698\) | 259.581 | + | 449.608i | 0.371893 | + | 0.644138i | ||||
\(699\) | −3.31897 | − | 1.91621i | −0.00474816 | − | 0.00274135i | ||||
\(700\) | 26.7533 | − | 7.16852i | 0.0382190 | − | 0.0102407i | ||||
\(701\) | − | 589.719i | − | 0.841254i | −0.907234 | − | 0.420627i | \(-0.861810\pi\) | ||
0.907234 | − | 0.420627i | \(-0.138190\pi\) | |||||||
\(702\) | −24.0293 | + | 10.9864i | −0.0342297 | + | 0.0156501i | ||||
\(703\) | −297.911 | −0.423771 | ||||||||
\(704\) | −317.793 | − | 1186.02i | −0.451411 | − | 1.68469i | ||||
\(705\) | −2.97409 | + | 5.15128i | −0.00421857 | + | 0.00730677i | ||||
\(706\) | −1292.08 | + | 745.981i | −1.83014 | + | 1.05663i | ||||
\(707\) | 45.8126 | − | 45.8126i | 0.0647986 | − | 0.0647986i | ||||
\(708\) | 23.1095 | + | 6.19216i | 0.0326405 | + | 0.00874600i | ||||
\(709\) | −40.7548 | + | 152.099i | −0.0574821 | + | 0.214526i | −0.988693 | − | 0.149955i | \(-0.952087\pi\) |
0.931211 | + | 0.364481i | \(0.118754\pi\) | |||||||
\(710\) | −284.309 | − | 284.309i | −0.400435 | − | 0.400435i | ||||
\(711\) | 187.467 | + | 324.702i | 0.263667 | + | 0.456684i | ||||
\(712\) | −1048.22 | − | 605.191i | −1.47222 | − | 0.849988i | ||||
\(713\) | −39.8722 | + | 10.6837i | −0.0559217 | + | 0.0149842i | ||||
\(714\) | − | 0.139355i | − | 0.000195175i | ||||||
\(715\) | 439.901 | + | 163.857i | 0.615246 | + | 0.229171i | ||||
\(716\) | −1639.18 | −2.28936 | ||||||||
\(717\) | −2.71547 | − | 10.1343i | −0.00378727 | − | 0.0141343i | ||||
\(718\) | 293.112 | − | 507.685i | 0.408234 | − | 0.707083i | ||||
\(719\) | −721.138 | + | 416.349i | −1.00297 | + | 0.579067i | −0.909127 | − | 0.416519i | \(-0.863250\pi\) |
−0.0938470 | + | 0.995587i | \(0.529916\pi\) | |||||||
\(720\) | −181.682 | + | 181.682i | −0.252336 | + | 0.252336i | ||||
\(721\) | 73.8843 | + | 19.7972i | 0.102475 | + | 0.0274580i | ||||
\(722\) | 278.720 | − | 1040.20i | 0.386039 | − | 1.44072i | ||||
\(723\) | −4.05345 | − | 4.05345i | −0.00560643 | − | 0.00560643i | ||||
\(724\) | −200.145 | − | 346.661i | −0.276443 | − | 0.478813i | ||||
\(725\) | −205.837 | − | 118.840i | −0.283914 | − | 0.163918i | ||||
\(726\) | −15.2465 | + | 4.08529i | −0.0210007 | + | 0.00562713i | ||||
\(727\) | − | 61.3646i | − | 0.0844079i | −0.999109 | − | 0.0422040i | \(-0.986562\pi\) | ||
0.999109 | − | 0.0422040i | \(-0.0134379\pi\) | |||||||
\(728\) | 75.7357 | + | 91.6454i | 0.104033 | + | 0.125887i | ||||
\(729\) | −728.472 | −0.999275 | ||||||||
\(730\) | 147.545 | + | 550.644i | 0.202116 | + | 0.754307i | ||||
\(731\) | −22.6464 | + | 39.2248i | −0.0309801 | + | 0.0536591i | ||||
\(732\) | −9.44890 | + | 5.45533i | −0.0129083 | + | 0.00745263i | ||||
\(733\) | −256.277 | + | 256.277i | −0.349628 | + | 0.349628i | −0.859971 | − | 0.510343i | \(-0.829518\pi\) |
0.510343 | + | 0.859971i | \(0.329518\pi\) | |||||||
\(734\) | 2062.30 | + | 552.592i | 2.80968 | + | 0.752851i | ||||
\(735\) | 0.925382 | − | 3.45357i | 0.00125902 | − | 0.00469874i | ||||
\(736\) | −6.94902 | − | 6.94902i | −0.00944160 | − | 0.00944160i | ||||
\(737\) | 797.576 | + | 1381.44i | 1.08219 | + | 1.87441i | ||||
\(738\) | 1514.70 | + | 874.514i | 2.05244 | + | 1.18498i | ||||
\(739\) | 306.125 | − | 82.0259i | 0.414242 | − | 0.110996i | −0.0456779 | − | 0.998956i | \(-0.514545\pi\) |
0.459920 | + | 0.887960i | \(0.347878\pi\) | |||||||
\(740\) | 754.623i | 1.01976i | ||||||||
\(741\) | 2.38199 | + | 1.69466i | 0.00321457 | + | 0.00228698i | ||||
\(742\) | 78.1301 | 0.105297 | ||||||||
\(743\) | 265.715 | + | 991.663i | 0.357625 | + | 1.33467i | 0.877149 | + | 0.480219i | \(0.159443\pi\) |
−0.519524 | + | 0.854456i | \(0.673891\pi\) | |||||||
\(744\) | −6.43816 | + | 11.1512i | −0.00865344 | + | 0.0149882i | ||||
\(745\) | 316.430 | − | 182.691i | 0.424738 | − | 0.245223i | ||||
\(746\) | −1613.19 | + | 1613.19i | −2.16246 | + | 2.16246i | ||||
\(747\) | 103.967 | + | 27.8579i | 0.139179 | + | 0.0372930i | ||||
\(748\) | 55.5589 | − | 207.349i | 0.0742767 | − | 0.277204i | ||||
\(749\) | 65.3776 | + | 65.3776i | 0.0872865 | + | 0.0872865i | ||||
\(750\) | −0.631243 | − | 1.09334i | −0.000841657 | − | 0.00145779i | ||||
\(751\) | −444.296 | − | 256.514i | −0.591605 | − | 0.341563i | 0.174127 | − | 0.984723i | \(-0.444290\pi\) |
−0.765732 | + | 0.643160i | \(0.777623\pi\) | |||||||
\(752\) | −994.877 | + | 266.576i | −1.32297 | + | 0.354490i | ||||
\(753\) | 5.52177i | 0.00733303i | ||||||||
\(754\) | 200.224 | − | 2106.49i | 0.265550 | − | 2.79375i | ||||
\(755\) | 580.309 | 0.768621 | ||||||||
\(756\) | −0.851004 | − | 3.17599i | −0.00112567 | − | 0.00420105i | ||||
\(757\) | 0.185970 | − | 0.322110i | 0.000245667 | − | 0.000425508i | −0.865903 | − | 0.500213i | \(-0.833255\pi\) |
0.866148 | + | 0.499787i | \(0.166588\pi\) | |||||||
\(758\) | −1140.95 | + | 658.727i | −1.50521 | + | 0.869032i | ||||
\(759\) | −0.507708 | + | 0.507708i | −0.000668918 | + | 0.000668918i | ||||
\(760\) | 187.818 | + | 50.3258i | 0.247129 | + | 0.0662181i | ||||
\(761\) | −100.429 | + | 374.806i | −0.131970 | + | 0.492518i | −0.999992 | − | 0.00400744i | \(-0.998724\pi\) |
0.868022 | + | 0.496525i | \(0.165391\pi\) | |||||||
\(762\) | −7.90223 | − | 7.90223i | −0.0103704 | − | 0.0103704i | ||||
\(763\) | 40.9107 | + | 70.8595i | 0.0536183 | + | 0.0928696i | ||||
\(764\) | 1275.78 | + | 736.569i | 1.66986 | + | 0.964096i | ||||
\(765\) | 33.4481 | − | 8.96239i | 0.0437230 | − | 0.0117155i | ||||
\(766\) | − | 25.4204i | − | 0.0331859i | ||||||
\(767\) | 1215.47 | + | 115.532i | 1.58471 | + | 0.150629i | ||||
\(768\) | −16.0763 | −0.0209327 | ||||||||
\(769\) | −290.354 | − | 1083.62i | −0.377574 | − | 1.40913i | −0.849547 | − | 0.527512i | \(-0.823125\pi\) |
0.471973 | − | 0.881613i | \(-0.343542\pi\) | |||||||
\(770\) | −44.3342 | + | 76.7891i | −0.0575769 | + | 0.0997261i | ||||
\(771\) | −5.33338 | + | 3.07923i | −0.00691748 | + | 0.00399381i | ||||
\(772\) | 124.199 | − | 124.199i | 0.160880 | − | 0.160880i | ||||
\(773\) | −943.196 | − | 252.729i | −1.22018 | − | 0.326945i | −0.409429 | − | 0.912342i | \(-0.634272\pi\) |
−0.810747 | + | 0.585397i | \(0.800939\pi\) | |||||||
\(774\) | −209.899 | + | 783.352i | −0.271187 | + | 1.01208i | ||||
\(775\) | 108.247 | + | 108.247i | 0.139674 | + | 0.139674i | ||||
\(776\) | 933.466 | + | 1616.81i | 1.20292 | + | 2.08352i | ||||
\(777\) | −0.894818 | − | 0.516623i | −0.00115163 | − | 0.000664895i | ||||
\(778\) | 51.5841 | − | 13.8219i | 0.0663035 | − | 0.0177660i | ||||
\(779\) | − | 387.050i | − | 0.496855i | ||||||
\(780\) | 4.29265 | − | 6.03372i | 0.00550340 | − | 0.00773554i | ||||
\(781\) | 848.037 | 1.08583 | ||||||||
\(782\) | −2.05616 | − | 7.67371i | −0.00262937 | − | 0.00981293i | ||||
\(783\) | −14.1080 | + | 24.4358i | −0.0180179 | + | 0.0312079i | ||||
\(784\) | 536.163 | − | 309.554i | 0.683881 | − | 0.394839i | ||||
\(785\) | 33.7364 | − | 33.7364i | 0.0429763 | − | 0.0429763i | ||||
\(786\) | 10.5331 | + | 2.82234i | 0.0134009 | + | 0.00359076i | ||||
\(787\) | 196.041 | − | 731.634i | 0.249099 | − | 0.929649i | −0.722180 | − | 0.691705i | \(-0.756860\pi\) |
0.971279 | − | 0.237944i | \(-0.0764734\pi\) | |||||||
\(788\) | 673.135 | + | 673.135i | 0.854232 | + | 0.854232i | ||||
\(789\) | −2.31009 | − | 4.00119i | −0.00292787 | − | 0.00507122i | ||||
\(790\) | −276.265 | − | 159.502i | −0.349702 | − | 0.201901i | ||||
\(791\) | −98.7058 | + | 26.4481i | −0.124786 | + | 0.0334363i | ||||
\(792\) | − | 1853.25i | − | 2.33996i | ||||||
\(793\) | −429.210 | + | 354.698i | −0.541248 | + | 0.447287i | ||||
\(794\) | 643.227 | 0.810110 | ||||||||
\(795\) | −0.607270 | − | 2.26636i | −0.000763862 | − | 0.00285077i | ||||
\(796\) | −105.268 | + | 182.329i | −0.132246 | + | 0.229056i | ||||
\(797\) | 79.9913 | − | 46.1830i | 0.100365 | − | 0.0579460i | −0.448977 | − | 0.893543i | \(-0.648212\pi\) |
0.549343 | + | 0.835597i | \(0.314878\pi\) | |||||||
\(798\) | −0.390446 | + | 0.390446i | −0.000489280 | + | 0.000489280i | ||||
\(799\) | 134.082 | + | 35.9271i | 0.167812 | + | 0.0449651i | ||||
\(800\) | −9.43281 | + | 35.2037i | −0.0117910 | + | 0.0440047i | ||||
\(801\) | 603.941 | + | 603.941i | 0.753984 | + | 0.753984i | ||||
\(802\) | 519.944 | + | 900.569i | 0.648309 | + | 1.12290i | ||||
\(803\) | −1041.28 | − | 601.183i | −1.29674 | − | 0.748671i | ||||
\(804\) | 24.3051 | − | 6.51252i | 0.0302302 | − | 0.00810015i | ||||
\(805\) | 2.16196i | 0.00268566i | ||||||||
\(806\) | −475.718 | + | 1277.14i | −0.590221 | + | 1.58454i | ||||
\(807\) | −1.62449 | −0.00201299 | ||||||||
\(808\) | −298.196 | − | 1112.88i | −0.369054 | − | 1.37733i | ||||
\(809\) | 23.1844 | − | 40.1565i | 0.0286580 | − | 0.0496372i | −0.851341 | − | 0.524613i | \(-0.824210\pi\) |
0.879999 | + | 0.474976i | \(0.157543\pi\) | |||||||
\(810\) | 536.894 | − | 309.976i | 0.662832 | − | 0.382686i | ||||
\(811\) | 70.9896 | − | 70.9896i | 0.0875334 | − | 0.0875334i | −0.661984 | − | 0.749518i | \(-0.730285\pi\) |
0.749518 | + | 0.661984i | \(0.230285\pi\) | |||||||
\(812\) | 254.350 | + | 68.1528i | 0.313238 | + | 0.0839320i | ||||
\(813\) | 3.98111 | − | 14.8577i | 0.00489681 | − | 0.0182752i | ||||
\(814\) | −1708.25 | − | 1708.25i | −2.09858 | − | 2.09858i | ||||
\(815\) | −86.0097 | − | 148.973i | −0.105533 | − | 0.182789i | ||||
\(816\) | −0.627569 | − | 0.362327i | −0.000769079 | − | 0.000444028i | ||||
\(817\) | 173.351 | − | 46.4494i | 0.212181 | − | 0.0568536i | ||||
\(818\) | − | 440.317i | − | 0.538285i | ||||||
\(819\) | −34.8840 | − | 76.2977i | −0.0425933 | − | 0.0931596i | ||||
\(820\) | −980.419 | −1.19563 | ||||||||
\(821\) | −256.139 | − | 955.924i | −0.311984 | − | 1.16434i | −0.926765 | − | 0.375643i | \(-0.877422\pi\) |
0.614780 | − | 0.788698i | \(-0.289245\pi\) | |||||||
\(822\) | −7.84417 | + | 13.5865i | −0.00954278 | + | 0.0165286i | ||||
\(823\) | −400.572 | + | 231.270i | −0.486722 | + | 0.281009i | −0.723213 | − | 0.690625i | \(-0.757336\pi\) |
0.236492 | + | 0.971633i | \(0.424002\pi\) | |||||||
\(824\) | 961.829 | − | 961.829i | 1.16727 | − | 1.16727i | ||||
\(825\) | 2.57205 | + | 0.689179i | 0.00311764 | + | 0.000835368i | ||||
\(826\) | −59.6891 | + | 222.763i | −0.0722628 | + | 0.269689i | ||||
\(827\) | −929.759 | − | 929.759i | −1.12426 | − | 1.12426i | −0.991094 | − | 0.133161i | \(-0.957487\pi\) |
−0.133161 | − | 0.991094i | \(-0.542513\pi\) | |||||||
\(828\) | −46.8586 | − | 81.1614i | −0.0565925 | − | 0.0980210i | ||||
\(829\) | 385.154 | + | 222.369i | 0.464600 | + | 0.268237i | 0.713977 | − | 0.700170i | \(-0.246892\pi\) |
−0.249376 | + | 0.968407i | \(0.580226\pi\) | |||||||
\(830\) | −88.4577 | + | 23.7022i | −0.106576 | + | 0.0285568i | ||||
\(831\) | 0.729599i | 0.000877977i | ||||||||
\(832\) | −974.686 | + | 164.336i | −1.17150 | + | 0.197519i | ||||
\(833\) | −83.4385 | −0.100166 | ||||||||
\(834\) | 2.13905 | + | 7.98304i | 0.00256481 | + | 0.00957199i | ||||
\(835\) | −276.273 | + | 478.520i | −0.330866 | + | 0.573077i | ||||
\(836\) | −736.618 | + | 425.286i | −0.881121 | + | 0.508716i | ||||
\(837\) | 12.8505 | − | 12.8505i | 0.0153530 | − | 0.0153530i | ||||
\(838\) | 542.453 | + | 145.350i | 0.647319 | + | 0.173449i | ||||
\(839\) | −241.488 | + | 901.245i | −0.287828 | + | 1.07419i | 0.658920 | + | 0.752213i | \(0.271014\pi\) |
−0.946748 | + | 0.321976i | \(0.895653\pi\) | |||||||
\(840\) | 0.476867 | + | 0.476867i | 0.000567698 | + | 0.000567698i | ||||
\(841\) | −709.342 | − | 1228.62i | −0.843450 | − | 1.46090i | ||||
\(842\) | 134.621 | + | 77.7236i | 0.159883 | + | 0.0923084i | ||||
\(843\) | −9.61105 | + | 2.57527i | −0.0114010 | + | 0.00305489i | ||||
\(844\) | 212.036i | 0.251228i | ||||||||
\(845\) | 164.825 | − | 340.056i | 0.195059 | − | 0.402433i | ||||
\(846\) | 2485.47 | 2.93791 | ||||||||
\(847\) | −25.9448 | − | 96.8273i | −0.0306314 | − | 0.114318i | ||||
\(848\) | 203.141 | − | 351.850i | 0.239553 | − | 0.414918i | ||||
\(849\) | 0.0752018 | − | 0.0434178i | 8.85769e−5 | − | 5.11399e-5i | ||||
\(850\) | −20.8331 | + | 20.8331i | −0.0245095 | + | 0.0245095i | ||||
\(851\) | −56.8967 | − | 15.2454i | −0.0668587 | − | 0.0179147i | ||||
\(852\) | 3.46228 | − | 12.9214i | 0.00406371 | − | 0.0151660i | ||||
\(853\) | 130.680 | + | 130.680i | 0.153201 | + | 0.153201i | 0.779546 | − | 0.626345i | \(-0.215450\pi\) |
−0.626345 | + | 0.779546i | \(0.715450\pi\) | |||||||
\(854\) | −52.5864 | − | 91.0823i | −0.0615766 | − | 0.106654i | ||||
\(855\) | −118.826 | − | 68.6043i | −0.138978 | − | 0.0802389i | ||||
\(856\) | 1588.15 | − | 425.544i | 1.85532 | − | 0.497131i | ||||
\(857\) | − | 1553.51i | − | 1.81273i | −0.422496 | − | 0.906365i | \(-0.638846\pi\) | ||
0.422496 | − | 0.906365i | \(-0.361154\pi\) | |||||||
\(858\) | 3.94126 | + | 23.3759i | 0.00459355 | + | 0.0272446i | ||||
\(859\) | −781.729 | −0.910045 | −0.455023 | − | 0.890480i | \(-0.650369\pi\) | ||||
−0.455023 | + | 0.890480i | \(0.650369\pi\) | |||||||
\(860\) | −117.659 | − | 439.108i | −0.136812 | − | 0.510591i | ||||
\(861\) | 0.671205 | − | 1.16256i | 0.000779565 | − | 0.00135025i | ||||
\(862\) | 696.038 | − | 401.858i | 0.807469 | − | 0.466192i | ||||
\(863\) | 534.675 | − | 534.675i | 0.619554 | − | 0.619554i | −0.325863 | − | 0.945417i | \(-0.605655\pi\) |
0.945417 | + | 0.325863i | \(0.105655\pi\) | |||||||
\(864\) | 4.17918 | + | 1.11981i | 0.00483701 | + | 0.00129607i | ||||
\(865\) | −63.9309 | + | 238.593i | −0.0739085 | + | 0.275830i | ||||
\(866\) | 209.730 | + | 209.730i | 0.242182 | + | 0.242182i | ||||
\(867\) | −4.71651 | − | 8.16923i | −0.00544003 | − | 0.00942241i | ||||
\(868\) | −146.878 | − | 84.8001i | −0.169214 | − | 0.0976960i | ||||
\(869\) | 649.903 | − | 174.141i | 0.747874 | − | 0.200392i | ||||
\(870\) | − | 12.0027i | − | 0.0137962i | ||||||
\(871\) | 1167.84 | − | 533.948i | 1.34081 | − | 0.613029i | ||||
\(872\) | 1455.03 | 1.66861 | ||||||||
\(873\) | −340.967 | − | 1272.50i | −0.390569 | − | 1.45762i | ||||
\(874\) | −15.7393 | + | 27.2613i | −0.0180083 | + | 0.0311914i | ||||
\(875\) | 6.94359 | − | 4.00888i | 0.00793553 | − | 0.00458158i | ||||
\(876\) | −13.4114 | + | 13.4114i | −0.0153098 | + | 0.0153098i | ||||
\(877\) | 281.460 | + | 75.4171i | 0.320935 | + | 0.0859944i | 0.415690 | − | 0.909506i | \(-0.363540\pi\) |
−0.0947548 | + | 0.995501i | \(0.530207\pi\) | |||||||
\(878\) | −96.3183 | + | 359.465i | −0.109702 | + | 0.409413i | ||||
\(879\) | −2.48635 | − | 2.48635i | −0.00282861 | − | 0.00282861i | ||||
\(880\) | 230.541 | + | 399.308i | 0.261978 | + | 0.453759i | ||||
\(881\) | −523.282 | − | 302.117i | −0.593964 | − | 0.342925i | 0.172699 | − | 0.984975i | \(-0.444751\pi\) |
−0.766663 | + | 0.642049i | \(0.778084\pi\) | |||||||
\(882\) | −1443.09 | + | 386.675i | −1.63616 | + | 0.438407i | ||||
\(883\) | − | 1287.07i | − | 1.45761i | −0.684724 | − | 0.728803i | \(-0.740077\pi\) | ||
0.684724 | − | 0.728803i | \(-0.259923\pi\) | |||||||
\(884\) | −161.938 | − | 60.3197i | −0.183187 | − | 0.0682349i | ||||
\(885\) | 6.92574 | 0.00782569 | ||||||||
\(886\) | 314.840 | + | 1175.00i | 0.355350 | + | 1.32618i | ||||
\(887\) | −109.969 | + | 190.472i | −0.123979 | + | 0.214737i | −0.921333 | − | 0.388774i | \(-0.872899\pi\) |
0.797355 | + | 0.603511i | \(0.206232\pi\) | |||||||
\(888\) | −15.9125 | + | 9.18711i | −0.0179195 | + | 0.0103458i | ||||
\(889\) | 50.1853 | − | 50.1853i | 0.0564514 | − | 0.0564514i | ||||
\(890\) | −701.930 | − | 188.082i | −0.788686 | − | 0.211328i | ||||
\(891\) | −338.426 | + | 1263.02i | −0.379827 | + | 1.41753i | ||||
\(892\) | 165.538 | + | 165.538i | 0.185581 | + | 0.185581i | ||||
\(893\) | −275.011 | − | 476.332i | −0.307963 | − | 0.533407i | ||||
\(894\) | 15.9795 | + | 9.22578i | 0.0178742 | + | 0.0103197i | ||||
\(895\) | −458.344 | + | 122.813i | −0.512116 | + | 0.137221i | ||||
\(896\) | − | 165.794i | − | 0.185038i | ||||||
\(897\) | 0.368204 | + | 0.445553i | 0.000410484 | + | 0.000496714i | ||||
\(898\) | 726.314 | 0.808813 | ||||||||
\(899\) | 376.689 | + | 1405.82i | 0.419009 | + | 1.56376i | ||||
\(900\) | −173.778 | + | 300.993i | −0.193087 | + | 0.334436i | ||||
\(901\) | −47.4196 | + | 27.3777i | −0.0526300 | + | 0.0303859i | ||||
\(902\) | 2219.38 | − | 2219.38i | 2.46051 | − | 2.46051i | ||||
\(903\) | 0.601237 | + | 0.161101i | 0.000665821 | + | 0.000178406i | ||||
\(904\) | −470.327 | + | 1755.28i | −0.520273 | + | 1.94169i | ||||
\(905\) | −81.9367 | − | 81.9367i | −0.0905378 | − | 0.0905378i | ||||
\(906\) | 14.6526 | + | 25.3791i | 0.0161729 | + | 0.0280123i | ||||
\(907\) | 847.960 | + | 489.570i | 0.934906 | + | 0.539768i | 0.888360 | − | 0.459148i | \(-0.151845\pi\) |
0.0465461 | + | 0.998916i | \(0.485179\pi\) | |||||||
\(908\) | −2803.10 | + | 751.089i | −3.08712 | + | 0.827190i | ||||
\(909\) | 813.003i | 0.894392i | ||||||||
\(910\) | 58.1618 | + | 41.3788i | 0.0639140 | + | 0.0454713i | ||||
\(911\) | 444.018 | 0.487396 | 0.243698 | − | 0.969851i | \(-0.421639\pi\) | ||||
0.243698 | + | 0.969851i | \(0.421639\pi\) | |||||||
\(912\) | 0.743157 | + | 2.77350i | 0.000814865 | + | 0.00304112i | ||||
\(913\) | 96.5765 | − | 167.275i | 0.105779 | − | 0.183215i | ||||
\(914\) | 934.548 | − | 539.562i | 1.02248 | − | 0.590330i | ||||
\(915\) | −2.23334 | + | 2.23334i | −0.00244081 | + | 0.00244081i | ||||
\(916\) | 1744.46 | + | 467.428i | 1.90444 | + | 0.510292i | ||||
\(917\) | −17.9240 | + | 66.8934i | −0.0195464 | + | 0.0729481i | ||||
\(918\) | 2.47318 | + | 2.47318i | 0.00269409 | + | 0.00269409i | ||||
\(919\) | −355.023 | − | 614.917i | −0.386314 | − | 0.669115i | 0.605637 | − | 0.795741i | \(-0.292919\pi\) |
−0.991951 | + | 0.126626i | \(0.959585\pi\) | |||||||
\(920\) | 33.2952 | + | 19.2230i | 0.0361905 | + | 0.0208946i | ||||
\(921\) | 6.69613 | − | 1.79422i | 0.00727050 | − | 0.00194813i | ||||
\(922\) | 2386.80i | 2.58872i | ||||||||
\(923\) | 64.5985 | − | 679.618i | 0.0699875 | − | 0.736314i | ||||
\(924\) | −2.95005 | −0.00319269 | ||||||||
\(925\) | 56.5388 | + | 211.005i | 0.0611230 | + | 0.228114i | ||||
\(926\) | −1562.32 | + | 2706.03i | −1.68718 | + | 2.92227i | ||||
\(927\) | −831.248 | + | 479.921i | −0.896707 | + | 0.517714i | ||||
\(928\) | −245.010 | + | 245.010i | −0.264019 | + | 0.264019i | ||||
\(929\) | −287.421 | − | 77.0142i | −0.309387 | − | 0.0829001i | 0.100785 | − | 0.994908i | \(-0.467865\pi\) |
−0.410172 | + | 0.912008i | \(0.634531\pi\) | |||||||
\(930\) | −2.00085 | + | 7.46729i | −0.00215146 | + | 0.00802934i | ||||
\(931\) | 233.779 | + | 233.779i | 0.251105 | + | 0.251105i | ||||
\(932\) | −448.830 | − | 777.396i | −0.481577 | − | 0.834116i | ||||
\(933\) | 4.51628 | + | 2.60748i | 0.00484060 | + | 0.00279472i | ||||
\(934\) | −1888.58 | + | 506.045i | −2.02204 | + | 0.541804i | ||||
\(935\) | − | 62.1409i | − | 0.0664608i | ||||||
\(936\) | −1485.19 | − | 141.169i | −1.58675 | − | 0.150822i | ||||
\(937\) | −194.851 | −0.207952 | −0.103976 | − | 0.994580i | \(-0.533156\pi\) | ||||
−0.103976 | + | 0.994580i | \(0.533156\pi\) | |||||||
\(938\) | 62.7772 | + | 234.288i | 0.0669266 | + | 0.249774i | ||||
\(939\) | 2.39097 | − | 4.14127i | 0.00254629 | − | 0.00441030i | ||||
\(940\) | −1206.57 | + | 696.616i | −1.28359 | + | 0.741081i | ||||
\(941\) | 415.396 | − | 415.396i | 0.441441 | − | 0.441441i | −0.451055 | − | 0.892496i | \(-0.648952\pi\) |
0.892496 | + | 0.451055i | \(0.148952\pi\) | |||||||
\(942\) | 2.32726 | + | 0.623586i | 0.00247055 | + | 0.000661981i | ||||
\(943\) | 19.8071 | − | 73.9211i | 0.0210044 | − | 0.0783893i | ||||
\(944\) | 847.993 | + | 847.993i | 0.898298 | + | 0.898298i | ||||
\(945\) | −0.475911 | − | 0.824301i | −0.000503609 | − | 0.000872276i | ||||
\(946\) | 1260.36 | + | 727.668i | 1.33230 | + | 0.769205i | ||||
\(947\) | 802.031 | − | 214.904i | 0.846918 | − | 0.226931i | 0.190837 | − | 0.981622i | \(-0.438880\pi\) |
0.656081 | + | 0.754691i | \(0.272213\pi\) | |||||||
\(948\) | − | 10.6134i | − | 0.0111956i | ||||||
\(949\) | −561.108 | + | 788.689i | −0.591262 | + | 0.831073i | ||||
\(950\) | 116.741 | 0.122885 | ||||||||
\(951\) | −4.65424 | − | 17.3699i | −0.00489405 | − | 0.0182648i | ||||
\(952\) | 7.86907 | − | 13.6296i | 0.00826583 | − | 0.0143168i | ||||
\(953\) | 906.178 | − | 523.182i | 0.950869 | − | 0.548985i | 0.0575183 | − | 0.998344i | \(-0.481681\pi\) |
0.893351 | + | 0.449360i | \(0.148348\pi\) | |||||||
\(954\) | −693.259 | + | 693.259i | −0.726686 | + | 0.726686i | ||||
\(955\) | 411.914 | + | 110.372i | 0.431324 | + | 0.115573i | ||||
\(956\) | 636.041 | − | 2373.74i | 0.665315 | − | 2.48299i | ||||
\(957\) | 17.9009 | + | 17.9009i | 0.0187052 | + | 0.0187052i | ||||
\(958\) | 71.4973 | + | 123.837i | 0.0746319 | + | 0.129266i | ||||
\(959\) | −86.2848 | − | 49.8166i | −0.0899737 | − | 0.0519464i | ||||
\(960\) | −5.41580 | + | 1.45116i | −0.00564146 | + | 0.00151162i | ||||
\(961\) | 23.5985i | 0.0245562i | ||||||||
\(962\) | −1499.12 | + | 1238.87i | −1.55833 | + | 1.28780i | ||||
\(963\) | −1160.21 | −1.20478 | ||||||||
\(964\) | −347.517 | − | 1296.95i | −0.360495 | − | 1.34538i | ||||
\(965\) | 25.4229 | − | 44.0337i | 0.0263449 | − | 0.0456308i | ||||
\(966\) | −0.0945505 | + | 0.0545887i | −9.78783e−5 | + | 5.65101e-5i | ||||
\(967\) | −710.111 | + | 710.111i | −0.734344 | + | 0.734344i | −0.971477 | − | 0.237133i | \(-0.923792\pi\) |
0.237133 | + | 0.971477i | \(0.423792\pi\) | |||||||
\(968\) | −1721.88 | − | 461.376i | −1.77880 | − | 0.476628i | ||||
\(969\) | 0.100157 | − | 0.373790i | 0.000103361 | − | 0.000385749i | ||||
\(970\) | 792.576 | + | 792.576i | 0.817089 | + | 0.817089i | ||||
\(971\) | −759.207 | − | 1314.99i | −0.781882 | − | 1.35426i | −0.930844 | − | 0.365416i | \(-0.880927\pi\) |
0.148963 | − | 0.988843i | \(-0.452407\pi\) | |||||||
\(972\) | 53.5992 | + | 30.9455i | 0.0551432 | + | 0.0318369i | ||||
\(973\) | −50.6985 | + | 13.5846i | −0.0521054 | + | 0.0139616i | ||||
\(974\) | − | 1259.84i | − | 1.29347i | ||||||
\(975\) | 0.748233 | − | 2.00875i | 0.000767419 | − | 0.00206026i | ||||
\(976\) | −546.905 | −0.560354 | ||||||||
\(977\) | 45.4195 | + | 169.508i | 0.0464887 | + | 0.173498i | 0.985267 | − | 0.171024i | \(-0.0547076\pi\) |
−0.938778 | + | 0.344522i | \(0.888041\pi\) | |||||||
\(978\) | 4.34344 | − | 7.52306i | 0.00444114 | − | 0.00769229i | ||||
\(979\) | 1327.36 | − | 766.354i | 1.35584 | − | 0.782793i | ||||
\(980\) | 592.174 | − | 592.174i | 0.604259 | − | 0.604259i | ||||
\(981\) | −991.752 | − | 265.739i | −1.01096 | − | 0.270886i | ||||
\(982\) | −280.674 | + | 1047.49i | −0.285819 | + | 1.06669i | ||||
\(983\) | 657.150 | + | 657.150i | 0.668515 | + | 0.668515i | 0.957372 | − | 0.288857i | \(-0.0932753\pi\) |
−0.288857 | + | 0.957372i | \(0.593275\pi\) | |||||||
\(984\) | −11.9360 | − | 20.6738i | −0.0121301 | − | 0.0210100i | ||||
\(985\) | 238.653 | + | 137.786i | 0.242288 | + | 0.139885i | ||||
\(986\) | −270.561 | + | 72.4967i | −0.274403 | + | 0.0735260i | ||||
\(987\) | − | 1.90764i | − | 0.00193277i | ||||||
\(988\) | 284.714 | + | 622.722i | 0.288172 | + | 0.630286i | ||||
\(989\) | 35.4847 | 0.0358794 | ||||||||
\(990\) | −287.976 | − | 1074.74i | −0.290885 | − | 1.08560i | ||||
\(991\) | −241.005 | + | 417.433i | −0.243194 | + | 0.421224i | −0.961622 | − | 0.274377i | \(-0.911528\pi\) |
0.718428 | + | 0.695601i | \(0.244862\pi\) | |||||||
\(992\) | 193.272 | − | 111.586i | 0.194830 | − | 0.112485i | ||||
\(993\) | −1.73769 | + | 1.73769i | −0.00174994 | + | 0.00174994i | ||||
\(994\) | 124.555 | + | 33.3745i | 0.125307 | + | 0.0335759i | ||||
\(995\) | −15.7740 | + | 58.8692i | −0.0158532 | + | 0.0591650i | ||||
\(996\) | −2.15446 | − | 2.15446i | −0.00216311 | − | 0.00216311i | ||||
\(997\) | 331.571 | + | 574.298i | 0.332569 | + | 0.576026i | 0.983015 | − | 0.183526i | \(-0.0587512\pi\) |
−0.650446 | + | 0.759553i | \(0.725418\pi\) | |||||||
\(998\) | 1789.24 | + | 1033.02i | 1.79283 | + | 1.03509i | ||||
\(999\) | 25.0493 | − | 6.71194i | 0.0250744 | − | 0.00671866i |
(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 | 65.3.p.a.6.10 | ✓ | 40 | |
5.2 | odd | 4 | 325.3.w.e.149.1 | 40 | |||
5.3 | odd | 4 | 325.3.w.f.149.10 | 40 | |||
5.4 | even | 2 | 325.3.t.d.201.1 | 40 | |||
13.11 | odd | 12 | inner | 65.3.p.a.11.10 | yes | 40 | |
65.24 | odd | 12 | 325.3.t.d.76.1 | 40 | |||
65.37 | even | 12 | 325.3.w.f.24.10 | 40 | |||
65.63 | even | 12 | 325.3.w.e.24.1 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
65.3.p.a.6.10 | ✓ | 40 | 1.1 | even | 1 | trivial | |
65.3.p.a.11.10 | yes | 40 | 13.11 | odd | 12 | inner | |
325.3.t.d.76.1 | 40 | 65.24 | odd | 12 | |||
325.3.t.d.201.1 | 40 | 5.4 | even | 2 | |||
325.3.w.e.24.1 | 40 | 65.63 | even | 12 | |||
325.3.w.e.149.1 | 40 | 5.2 | odd | 4 | |||
325.3.w.f.24.10 | 40 | 65.37 | even | 12 | |||
325.3.w.f.149.10 | 40 | 5.3 | odd | 4 |