Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,3,Mod(41,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.41");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.t (of order \(16\), degree \(8\), 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: | \(3.70573159530\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 73.1 | ||
Character | \(\chi\) | \(=\) | 136.73 |
Dual form | 136.3.t.b.41.1 |
$q$-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 \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{16}\right)\) |
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 | 0 | ||||||||
\(3\) | −3.07751 | − | 4.60583i | −1.02584 | − | 1.53528i | −0.832409 | − | 0.554161i | \(-0.813039\pi\) |
−0.193429 | − | 0.981114i | \(-0.561961\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.22413 | − | 6.15412i | 0.244826 | − | 1.23082i | −0.641267 | − | 0.767318i | \(-0.721591\pi\) |
0.886093 | − | 0.463507i | \(-0.153409\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.478359 | + | 2.40487i | 0.0683370 | + | 0.343553i | 0.999794 | − | 0.0202982i | \(-0.00646155\pi\) |
−0.931457 | + | 0.363852i | \(0.881462\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −8.29839 | + | 20.0341i | −0.922043 | + | 2.22601i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −12.9251 | − | 8.63629i | −1.17501 | − | 0.785117i | −0.194369 | − | 0.980928i | \(-0.562266\pi\) |
−0.980642 | + | 0.195811i | \(0.937266\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 13.3302 | + | 13.3302i | 1.02540 | + | 1.02540i | 0.999669 | + | 0.0257343i | \(0.00819238\pi\) |
0.0257343 | + | 0.999669i | \(0.491808\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −32.1121 | + | 13.3013i | −2.14081 | + | 0.886751i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −13.2281 | − | 10.6779i | −0.778124 | − | 0.628111i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.91966 | − | 14.2913i | −0.311561 | − | 0.752175i | −0.999648 | − | 0.0265465i | \(-0.991549\pi\) |
0.688086 | − | 0.725629i | \(-0.258451\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 9.60427 | − | 9.60427i | 0.457346 | − | 0.457346i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.55826 | + | 6.82191i | −0.198185 | + | 0.296605i | −0.917230 | − | 0.398359i | \(-0.869580\pi\) |
0.719044 | + | 0.694964i | \(0.244580\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −13.2777 | − | 5.49982i | −0.531109 | − | 0.219993i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 68.9154 | − | 13.7081i | 2.55242 | − | 0.507709i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.84919 | + | 1.56130i | 0.270662 | + | 0.0538380i | 0.328555 | − | 0.944485i | \(-0.393438\pi\) |
−0.0578934 | + | 0.998323i | \(0.518438\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 22.3133 | − | 14.9092i | 0.719783 | − | 0.480944i | −0.140940 | − | 0.990018i | \(-0.545012\pi\) |
0.860722 | + | 0.509075i | \(0.170012\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 86.1092i | 2.60937i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 15.3855 | 0.439585 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −32.9559 | − | 49.3220i | −0.890700 | − | 1.33303i | −0.942443 | − | 0.334367i | \(-0.891478\pi\) |
0.0517428 | − | 0.998660i | \(-0.483522\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 20.3728 | − | 102.421i | 0.522378 | − | 2.62617i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.55399 | − | 37.9765i | −0.184244 | − | 0.926256i | −0.956675 | − | 0.291158i | \(-0.905960\pi\) |
0.772431 | − | 0.635098i | \(-0.219040\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −15.2990 | + | 36.9351i | −0.355792 | + | 0.858957i | 0.640091 | + | 0.768300i | \(0.278897\pi\) |
−0.995882 | + | 0.0906575i | \(0.971103\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 113.134 | + | 75.5936i | 2.51409 | + | 1.67986i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.87805 | − | 3.87805i | −0.0825118 | − | 0.0825118i | 0.664646 | − | 0.747158i | \(-0.268582\pi\) |
−0.747158 | + | 0.664646i | \(0.768582\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 39.7155 | − | 16.4507i | 0.810521 | − | 0.335729i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.47083 | + | 93.7877i | −0.166095 | + | 1.83897i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −29.7894 | − | 71.9180i | −0.562065 | − | 1.35694i | −0.908112 | − | 0.418727i | \(-0.862476\pi\) |
0.346047 | − | 0.938217i | \(-0.387524\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −68.9708 | + | 68.9708i | −1.25401 | + | 1.25401i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −47.6055 | + | 71.2467i | −0.835185 | + | 1.24994i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 30.3685 | + | 12.5790i | 0.514720 | + | 0.213204i | 0.624896 | − | 0.780708i | \(-0.285141\pi\) |
−0.110176 | + | 0.993912i | \(0.535141\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.81937 | + | 0.759720i | −0.0626126 | + | 0.0124544i | −0.226297 | − | 0.974058i | \(-0.572662\pi\) |
0.163685 | + | 0.986513i | \(0.447662\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −52.1490 | − | 10.3731i | −0.827762 | − | 0.164652i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 98.3539 | − | 65.7180i | 1.51314 | − | 1.01105i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 72.0359i | − | 1.07516i | −0.843212 | − | 0.537581i | \(-0.819338\pi\) | ||
0.843212 | − | 0.537581i | \(-0.180662\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 45.4487 | 0.658676 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −36.3241 | − | 54.3629i | −0.511608 | − | 0.765675i | 0.482286 | − | 0.876014i | \(-0.339806\pi\) |
−0.993894 | + | 0.110339i | \(0.964806\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.8151 | + | 59.3983i | −0.161850 | + | 0.813675i | 0.811500 | + | 0.584352i | \(0.198651\pi\) |
−0.973350 | + | 0.229323i | \(0.926349\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 15.5312 | + | 78.0807i | 0.207083 | + | 1.04108i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 14.5863 | − | 35.2145i | 0.189433 | − | 0.457331i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 75.3098 | + | 50.3204i | 0.953288 | + | 0.636967i | 0.931866 | − | 0.362804i | \(-0.118180\pi\) |
0.0214225 | + | 0.999771i | \(0.493180\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −137.225 | − | 137.225i | −1.69413 | − | 1.69413i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 13.8781 | − | 5.74849i | 0.167206 | − | 0.0692589i | −0.297510 | − | 0.954719i | \(-0.596156\pi\) |
0.464716 | + | 0.885460i | \(0.346156\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −81.9060 | + | 68.3362i | −0.963600 | + | 0.803955i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −16.9649 | − | 40.9569i | −0.194999 | − | 0.470769i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 78.9020 | − | 78.9020i | 0.886539 | − | 0.886539i | −0.107650 | − | 0.994189i | \(-0.534333\pi\) |
0.994189 | + | 0.107650i | \(0.0343326\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −25.6809 | + | 38.4342i | −0.282208 | + | 0.422354i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −137.339 | − | 56.8876i | −1.47676 | − | 0.611695i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −95.1970 | + | 18.9359i | −1.00207 | + | 0.199325i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −132.790 | − | 26.4136i | −1.36897 | − | 0.272305i | −0.544761 | − | 0.838591i | \(-0.683380\pi\) |
−0.824209 | + | 0.566286i | \(0.808380\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 280.278 | − | 187.276i | 2.83109 | − | 1.89167i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 60.0178i | 0.594235i | 0.954841 | + | 0.297118i | \(0.0960254\pi\) | ||||
−0.954841 | + | 0.297118i | \(0.903975\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −54.3537 | −0.527706 | −0.263853 | − | 0.964563i | \(-0.584993\pi\) | ||||
−0.263853 | + | 0.964563i | \(0.584993\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −47.3490 | − | 70.8628i | −0.450943 | − | 0.674883i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −25.6229 | + | 128.815i | −0.239466 | + | 1.20388i | 0.654611 | + | 0.755966i | \(0.272832\pi\) |
−0.894077 | + | 0.447912i | \(0.852168\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.10438 | − | 25.6614i | −0.0468291 | − | 0.235426i | 0.950281 | − | 0.311393i | \(-0.100796\pi\) |
−0.997110 | + | 0.0759672i | \(0.975796\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −125.746 | + | 303.578i | −1.13285 | + | 2.73494i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 84.5779 | + | 56.5132i | 0.748477 | + | 0.500117i | 0.870353 | − | 0.492429i | \(-0.163891\pi\) |
−0.121875 | + | 0.992545i | \(0.538891\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 36.4030 | + | 36.4030i | 0.316548 | + | 0.316548i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −377.679 | + | 156.440i | −3.22802 | + | 1.33709i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 19.3512 | − | 36.9198i | 0.162615 | − | 0.310250i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 46.1685 | + | 111.461i | 0.381558 | + | 0.921162i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −151.666 | + | 151.666i | −1.23305 | + | 1.23305i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 37.0505 | − | 55.4500i | 0.296404 | − | 0.443600i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 147.283 | + | 61.0066i | 1.15971 | + | 0.480367i | 0.877778 | − | 0.479068i | \(-0.159025\pi\) |
0.281930 | + | 0.959435i | \(0.409025\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 217.200 | − | 43.2037i | 1.68372 | − | 0.334913i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 198.943 | + | 39.5722i | 1.51865 | + | 0.302078i | 0.882804 | − | 0.469741i | \(-0.155653\pi\) |
0.635843 | + | 0.771819i | \(0.280653\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 31.5371 | − | 21.0724i | 0.237121 | − | 0.158439i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 440.894i | − | 3.26589i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 99.1143 | 0.723462 | 0.361731 | − | 0.932283i | \(-0.382186\pi\) | ||||
0.361731 | + | 0.932283i | \(0.382186\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 54.5251 | + | 81.6025i | 0.392267 | + | 0.587068i | 0.974066 | − | 0.226264i | \(-0.0726512\pi\) |
−0.581799 | + | 0.813332i | \(0.697651\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.92687 | + | 29.7964i | −0.0420346 | + | 0.211322i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −57.1711 | − | 287.419i | −0.399798 | − | 2.00992i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.2169 | − | 46.3936i | 0.132530 | − | 0.319956i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −197.994 | − | 132.295i | −1.34690 | − | 0.899969i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −50.2945 | − | 50.2945i | −0.337547 | − | 0.337547i | 0.517896 | − | 0.855443i | \(-0.326715\pi\) |
−0.855443 | + | 0.517896i | \(0.826715\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 147.257 | − | 60.9959i | 0.975213 | − | 0.403947i | 0.162563 | − | 0.986698i | \(-0.448024\pi\) |
0.812650 | + | 0.582752i | \(0.198024\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 323.694 | − | 176.404i | 2.11564 | − | 1.15296i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −64.4390 | − | 155.569i | −0.415735 | − | 1.00367i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 68.9297 | − | 68.9297i | 0.439043 | − | 0.439043i | −0.452647 | − | 0.891690i | \(-0.649520\pi\) |
0.891690 | + | 0.452647i | \(0.149520\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −239.565 | + | 358.534i | −1.50670 | + | 2.25493i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −18.5863 | − | 7.69871i | −0.115443 | − | 0.0478181i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.1335 | − | 3.20915i | 0.0989784 | − | 0.0196880i | −0.145353 | − | 0.989380i | \(-0.546432\pi\) |
0.244331 | + | 0.969692i | \(0.421432\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 529.926 | + | 105.409i | 3.21167 | + | 0.638842i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −184.179 | + | 123.065i | −1.10287 | + | 0.736915i | −0.967245 | − | 0.253845i | \(-0.918305\pi\) |
−0.135626 | + | 0.990760i | \(0.543305\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 186.391i | 1.10290i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 335.437 | 1.96162 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 121.925 | + | 182.473i | 0.704767 | + | 1.05476i | 0.995200 | + | 0.0978630i | \(0.0312007\pi\) |
−0.290433 | + | 0.956895i | \(0.593799\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.87484 | − | 34.5622i | 0.0392848 | − | 0.197498i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −35.5226 | − | 178.584i | −0.200692 | − | 1.00895i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 116.962 | − | 282.371i | 0.653417 | − | 1.57749i | −0.154369 | − | 0.988013i | \(-0.549334\pi\) |
0.807786 | − | 0.589476i | \(-0.200666\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.2661 | − | 6.85962i | −0.0567190 | − | 0.0378984i | 0.526887 | − | 0.849935i | \(-0.323359\pi\) |
−0.583606 | + | 0.812037i | \(0.698359\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.2533 | + | 15.2533i | 0.0833514 | + | 0.0833514i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −343.876 | + | 142.438i | −1.85879 | + | 0.769936i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 78.7574 | + | 252.255i | 0.421163 | + | 1.34896i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 65.9326 | + | 159.175i | 0.348850 | + | 0.842198i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 69.2166 | − | 69.2166i | 0.362391 | − | 0.362391i | −0.502302 | − | 0.864692i | \(-0.667513\pi\) |
0.864692 | + | 0.502302i | \(0.167513\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −81.7961 | + | 122.416i | −0.423814 | + | 0.634282i | −0.980518 | − | 0.196428i | \(-0.937066\pi\) |
0.556704 | + | 0.830711i | \(0.312066\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −605.371 | − | 250.753i | −3.10447 | − | 1.28591i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 174.139 | − | 34.6385i | 0.883956 | − | 0.175830i | 0.267819 | − | 0.963469i | \(-0.413697\pi\) |
0.616137 | + | 0.787639i | \(0.288697\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 130.328 | + | 25.9238i | 0.654914 | + | 0.130271i | 0.511353 | − | 0.859371i | \(-0.329145\pi\) |
0.143562 | + | 0.989641i | \(0.454145\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −331.785 | + | 221.692i | −1.65067 | + | 1.10294i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 19.6232i | 0.0966659i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −242.959 | −1.18517 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −98.8446 | − | 147.931i | −0.477510 | − | 0.714644i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −46.9117 | + | 235.841i | −0.224458 | + | 1.12843i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −30.0296 | − | 150.969i | −0.142320 | − | 0.715492i | −0.984373 | − | 0.176097i | \(-0.943653\pi\) |
0.842053 | − | 0.539395i | \(-0.181347\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −138.598 | + | 334.605i | −0.650695 | + | 1.57092i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 208.575 | + | 139.366i | 0.970118 | + | 0.648212i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 46.5286 | + | 46.5286i | 0.214418 | + | 0.214418i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 309.939 | − | 128.381i | 1.41525 | − | 0.586215i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −33.9949 | − | 318.673i | −0.153823 | − | 1.44196i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 70.6954 | + | 170.674i | 0.317020 | + | 0.765353i | 0.999409 | + | 0.0343644i | \(0.0109407\pi\) |
−0.682390 | + | 0.730988i | \(0.739059\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 220.368 | − | 220.368i | 0.979412 | − | 0.979412i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −57.1437 | + | 85.5217i | −0.251735 | + | 0.376747i | −0.935717 | − | 0.352751i | \(-0.885246\pi\) |
0.683983 | + | 0.729498i | \(0.260246\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −224.457 | − | 92.9733i | −0.980164 | − | 0.405997i | −0.165677 | − | 0.986180i | \(-0.552981\pi\) |
−0.814486 | + | 0.580183i | \(0.802981\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −207.082 | + | 41.1911i | −0.896457 | + | 0.178316i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 68.7073 | + | 13.6667i | 0.294881 | + | 0.0586555i | 0.340314 | − | 0.940312i | \(-0.389467\pi\) |
−0.0454328 | + | 0.998967i | \(0.514467\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −28.6133 | + | 19.1188i | −0.121759 | + | 0.0813564i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 501.725i | − | 2.11698i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −377.396 | −1.57906 | −0.789532 | − | 0.613710i | \(-0.789676\pi\) | ||||
−0.789532 | + | 0.613710i | \(0.789676\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −183.989 | − | 275.358i | −0.763438 | − | 1.14257i | −0.985853 | − | 0.167613i | \(-0.946394\pi\) |
0.222415 | − | 0.974952i | \(-0.428606\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −86.3489 | + | 434.105i | −0.355345 | + | 1.78644i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −52.6226 | − | 264.552i | −0.214786 | − | 1.07980i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 111.596 | − | 269.417i | 0.451807 | − | 1.09076i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −69.1865 | − | 46.2290i | −0.277858 | − | 0.185659i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −100.014 | − | 100.014i | −0.398461 | − | 0.398461i | 0.479229 | − | 0.877690i | \(-0.340916\pi\) |
−0.877690 | + | 0.479229i | \(0.840916\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 117.832 | − | 48.8076i | 0.465739 | − | 0.192915i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 566.812 | + | 166.939i | 2.22279 | + | 0.654663i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 177.611 | + | 428.791i | 0.691093 | + | 1.66845i | 0.742566 | + | 0.669772i | \(0.233608\pi\) |
−0.0514731 | + | 0.998674i | \(0.516392\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 102.848 | − | 102.848i | 0.397098 | − | 0.397098i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −96.4148 | + | 144.295i | −0.369406 | + | 0.552854i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −105.346 | − | 43.6357i | −0.400555 | − | 0.165915i | 0.173306 | − | 0.984868i | \(-0.444555\pi\) |
−0.573861 | + | 0.818953i | \(0.694555\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −479.059 | + | 95.2907i | −1.80777 | + | 0.359587i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −606.231 | − | 120.587i | −2.27053 | − | 0.451636i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 175.857 | − | 117.504i | 0.653745 | − | 0.436818i | −0.183966 | − | 0.982933i | \(-0.558894\pi\) |
0.837711 | + | 0.546114i | \(0.183894\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 517.492i | − | 1.90956i | −0.297307 | − | 0.954782i | \(-0.596089\pi\) | ||
0.297307 | − | 0.954782i | \(-0.403911\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 256.055 | 0.937929 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 124.118 | + | 185.756i | 0.451339 | + | 0.675477i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.7887 | − | 74.3478i | 0.0533888 | − | 0.268404i | −0.944866 | − | 0.327457i | \(-0.893808\pi\) |
0.998255 | + | 0.0590535i | \(0.0188083\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 113.529 | + | 570.749i | 0.406914 | + | 2.04569i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.6551 | + | 57.1084i | −0.0841818 | + | 0.203233i | −0.960365 | − | 0.278745i | \(-0.910081\pi\) |
0.876183 | + | 0.481978i | \(0.160081\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −336.839 | − | 225.069i | −1.19024 | − | 0.795295i | −0.207134 | − | 0.978313i | \(-0.566413\pi\) |
−0.983110 | + | 0.183017i | \(0.941413\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 380.186 | + | 380.186i | 1.33398 | + | 1.33398i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 87.7151 | − | 36.3328i | 0.305628 | − | 0.126595i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 60.9653 | + | 282.496i | 0.210953 | + | 0.977496i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 287.007 | + | 692.896i | 0.986278 | + | 2.38109i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 47.3988 | − | 47.3988i | 0.161771 | − | 0.161771i | −0.621580 | − | 0.783351i | \(-0.713509\pi\) |
0.783351 | + | 0.621580i | \(0.213509\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 114.588 | − | 171.493i | 0.388433 | − | 0.581332i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1009.13 | − | 417.994i | −3.39774 | − | 1.40739i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −151.700 | + | 30.1751i | −0.507359 | + | 0.100920i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −96.1428 | − | 19.1240i | −0.319411 | − | 0.0635349i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 276.431 | − | 184.706i | 0.912315 | − | 0.609589i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 24.4349i | 0.0801143i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.15066 | −0.0200347 | −0.0100174 | − | 0.999950i | \(-0.503189\pi\) | ||||
−0.0100174 | + | 0.999950i | \(0.503189\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 167.274 | + | 250.344i | 0.541341 | + | 0.810174i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.4206 | − | 117.743i | 0.0753074 | − | 0.378596i | −0.924690 | − | 0.380720i | \(-0.875676\pi\) |
0.999998 | + | 0.00212412i | \(0.000676128\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.7523 | + | 54.0556i | 0.0343525 | + | 0.172702i | 0.994153 | − | 0.107982i | \(-0.0344389\pi\) |
−0.959800 | + | 0.280684i | \(0.909439\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −127.675 | + | 308.234i | −0.405316 | + | 0.978519i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −256.442 | − | 171.349i | −0.808966 | − | 0.540534i | 0.0809180 | − | 0.996721i | \(-0.474215\pi\) |
−0.889884 | + | 0.456187i | \(0.849215\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −87.9679 | − | 87.9679i | −0.275761 | − | 0.275761i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 672.154 | − | 278.415i | 2.09394 | − | 0.867338i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −74.2954 | + | 252.257i | −0.230017 | + | 0.780980i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −103.682 | − | 250.309i | −0.319020 | − | 0.770182i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −102.483 | + | 102.483i | −0.313405 | + | 0.313405i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 7.47112 | − | 11.1813i | 0.0227086 | − | 0.0339858i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 175.896 | + | 72.8584i | 0.531407 | + | 0.220116i | 0.632220 | − | 0.774789i | \(-0.282144\pi\) |
−0.100812 | + | 0.994905i | \(0.532144\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1261.60 | − | 250.948i | 3.78859 | − | 0.753598i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −443.318 | − | 88.1814i | −1.32334 | − | 0.263228i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.1542 | + | 8.12117i | −0.0360658 | + | 0.0240984i | −0.573472 | − | 0.819225i | \(-0.694404\pi\) |
0.537407 | + | 0.843323i | \(0.319404\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 563.471i | − | 1.66216i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −417.162 | −1.22335 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 125.310 | + | 187.540i | 0.365337 | + | 0.546765i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 55.6351 | − | 279.697i | 0.161261 | − | 0.810715i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 26.8277 | + | 134.872i | 0.0773131 | + | 0.388679i | 0.999995 | + | 0.00311754i | \(0.000992347\pi\) |
−0.922682 | + | 0.385562i | \(0.874008\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −81.5428 | + | 196.862i | −0.233647 | + | 0.564074i | −0.996601 | − | 0.0823790i | \(-0.973748\pi\) |
0.762954 | + | 0.646453i | \(0.223748\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1101.39 | + | 735.926i | 3.13787 | + | 2.09666i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 39.1786 | + | 39.1786i | 0.110987 | + | 0.110987i | 0.760420 | − | 0.649432i | \(-0.224993\pi\) |
−0.649432 | + | 0.760420i | \(0.724993\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −379.022 | + | 156.996i | −1.06767 | + | 0.442242i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −229.600 | + | 24.4929i | −0.643136 | + | 0.0686076i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 215.678 | + | 520.693i | 0.600775 | + | 1.45040i | 0.872785 | + | 0.488105i | \(0.162312\pi\) |
−0.272010 | + | 0.962295i | \(0.587688\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 86.0658 | − | 86.0658i | 0.238410 | − | 0.238410i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 371.284 | − | 555.666i | 1.02282 | − | 1.53076i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 351.081 | + | 145.423i | 0.961867 | + | 0.398418i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 477.111 | − | 94.9034i | 1.30003 | − | 0.258592i | 0.503924 | − | 0.863748i | \(-0.331889\pi\) |
0.796107 | + | 0.605156i | \(0.206889\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 823.510 | + | 163.806i | 2.23173 | + | 0.443920i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 158.704 | − | 106.042i | 0.427773 | − | 0.285829i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 140.669i | − | 0.377128i | −0.982061 | − | 0.188564i | \(-0.939617\pi\) | ||
0.982061 | − | 0.188564i | \(-0.0603833\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −369.417 | −0.985111 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 83.8191 | + | 125.444i | 0.222332 | + | 0.332743i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 38.4604 | − | 193.353i | 0.101479 | − | 0.510167i | −0.896294 | − | 0.443460i | \(-0.853751\pi\) |
0.997773 | − | 0.0667069i | \(-0.0212492\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −172.280 | − | 866.108i | −0.452178 | − | 2.27325i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 14.3601 | − | 34.6683i | 0.0374937 | − | 0.0905177i | −0.904023 | − | 0.427483i | \(-0.859400\pi\) |
0.941517 | + | 0.336965i | \(0.109400\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −198.859 | − | 132.873i | −0.516517 | − | 0.345125i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −613.004 | − | 613.004i | −1.58399 | − | 1.58399i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −494.589 | + | 204.866i | −1.27144 | + | 0.526647i | −0.913401 | − | 0.407061i | \(-0.866554\pi\) |
−0.358037 | + | 0.933708i | \(0.616554\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 133.141 | − | 41.5684i | 0.340513 | − | 0.106313i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −429.987 | − | 1038.08i | −1.09411 | − | 2.64142i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 401.867 | − | 401.867i | 1.01738 | − | 1.01738i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −211.412 | + | 316.401i | −0.532525 | + | 0.796980i | −0.996021 | − | 0.0891193i | \(-0.971595\pi\) |
0.463496 | + | 0.886099i | \(0.346595\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −194.112 | − | 80.4038i | −0.486496 | − | 0.201513i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −512.019 | + | 101.847i | −1.27686 | + | 0.253983i | −0.786528 | − | 0.617555i | \(-0.788123\pi\) |
−0.490329 | + | 0.871538i | \(0.663123\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 496.185 | + | 98.6973i | 1.23123 | + | 0.244907i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1012.48 | + | 676.517i | −2.49995 | + | 1.67041i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 922.109i | 2.26563i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 596.576 | 1.45862 | 0.729310 | − | 0.684183i | \(-0.239841\pi\) | ||||
0.729310 | + | 0.684183i | \(0.239841\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −305.026 | − | 456.503i | −0.742155 | − | 1.11071i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −15.7239 | + | 79.0496i | −0.0380725 | + | 0.191403i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.3883 | − | 92.4443i | −0.0443092 | − | 0.222757i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 208.045 | − | 502.266i | 0.498910 | − | 1.20447i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 179.020 | + | 119.617i | 0.427254 | + | 0.285482i | 0.750547 | − | 0.660817i | \(-0.229790\pi\) |
−0.323293 | + | 0.946299i | \(0.604790\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 353.691 | + | 353.691i | 0.840122 | + | 0.840122i | 0.988874 | − | 0.148753i | \(-0.0475259\pi\) |
−0.148753 | + | 0.988874i | \(0.547526\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 109.875 | − | 45.5116i | 0.259751 | − | 0.107593i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 116.913 | + | 214.530i | 0.275089 | + | 0.504777i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.65406 | − | 8.82168i | −0.00855752 | − | 0.0206597i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1147.86 | + | 1147.86i | −2.67565 | + | 2.67565i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −116.770 | + | 174.759i | −0.270929 | + | 0.405473i | −0.941839 | − | 0.336065i | \(-0.890904\pi\) |
0.670910 | + | 0.741539i | \(0.265904\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 675.636 | + | 279.857i | 1.56036 | + | 0.646322i | 0.985152 | − | 0.171685i | \(-0.0549212\pi\) |
0.575208 | + | 0.818007i | \(0.304921\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −272.821 | + | 54.2675i | −0.627175 | + | 0.124753i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 124.478 | + | 24.7601i | 0.284846 | + | 0.0566593i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 114.753 | − | 76.6758i | 0.261397 | − | 0.174660i | −0.417965 | − | 0.908463i | \(-0.637256\pi\) |
0.679362 | + | 0.733803i | \(0.262256\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 932.178i | 2.11378i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −298.086 | −0.672881 | −0.336441 | − | 0.941705i | \(-0.609223\pi\) | ||||
−0.336441 | + | 0.941705i | \(0.609223\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −388.986 | − | 582.159i | −0.874126 | − | 1.30822i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −76.8656 | + | 386.430i | −0.171959 | + | 0.864496i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.6109 | + | 68.4264i | 0.0303137 | + | 0.152397i | 0.992978 | − | 0.118302i | \(-0.0377451\pi\) |
−0.962664 | + | 0.270699i | \(0.912745\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −230.340 | + | 556.089i | −0.510731 | + | 1.23301i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −734.123 | − | 490.525i | −1.62058 | − | 1.08284i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 205.092 | + | 205.092i | 0.450751 | + | 0.450751i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −261.616 | + | 108.365i | −0.572463 | + | 0.237122i | −0.650086 | − | 0.759861i | \(-0.725267\pi\) |
0.0776226 | + | 0.996983i | \(0.475267\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1057.99 | − | 554.539i | −2.30500 | − | 1.20815i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −33.4162 | − | 80.6738i | −0.0724863 | − | 0.174997i | 0.883484 | − | 0.468462i | \(-0.155192\pi\) |
−0.955970 | + | 0.293465i | \(0.905192\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 262.432 | − | 262.432i | 0.566808 | − | 0.566808i | −0.364425 | − | 0.931233i | \(-0.618734\pi\) |
0.931233 | + | 0.364425i | \(0.118734\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −518.214 | + | 775.562i | −1.11444 | + | 1.66788i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −470.768 | − | 194.999i | −1.00807 | − | 0.417556i | −0.183319 | − | 0.983053i | \(-0.558684\pi\) |
−0.824750 | + | 0.565498i | \(0.808684\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 173.237 | − | 34.4590i | 0.369376 | − | 0.0734734i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −529.610 | − | 105.346i | −1.12444 | − | 0.223665i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 516.724 | − | 345.264i | 1.09244 | − | 0.729946i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 222.314i | 0.468029i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1688.02 | 3.53882 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 156.924 | + | 234.853i | 0.327607 | + | 0.490298i | 0.958312 | − | 0.285725i | \(-0.0922342\pi\) |
−0.630705 | + | 0.776023i | \(0.717234\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 218.164 | − | 1096.78i | 0.453563 | − | 2.28022i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 21.7408 | + | 109.298i | 0.0450120 | + | 0.226290i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −325.105 | + | 784.873i | −0.670319 | + | 1.61829i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −676.592 | − | 452.084i | −1.38931 | − | 0.928304i | −0.999974 | − | 0.00720678i | \(-0.997706\pi\) |
−0.389332 | − | 0.921098i | \(-0.627294\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −64.4318 | − | 64.4318i | −0.131762 | − | 0.131762i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −250.853 | + | 103.907i | −0.510903 | + | 0.211623i | −0.623216 | − | 0.782050i | \(-0.714174\pi\) |
0.112313 | + | 0.993673i | \(0.464174\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −87.1585 | − | 104.466i | −0.176792 | − | 0.211898i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −809.420 | − | 1954.11i | −1.63519 | − | 3.94770i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 113.360 | − | 113.360i | 0.228088 | − | 0.228088i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −62.1635 | + | 93.0342i | −0.124576 | + | 0.186441i | −0.888515 | − | 0.458847i | \(-0.848263\pi\) |
0.763939 | + | 0.645288i | \(0.223263\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1133.63 | + | 469.565i | 2.26273 | + | 0.937255i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 398.056 | − | 79.1783i | 0.791365 | − | 0.157412i | 0.217173 | − | 0.976133i | \(-0.430316\pi\) |
0.574192 | + | 0.818721i | \(0.305316\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 369.357 | + | 73.4696i | 0.731400 | + | 0.145484i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 858.483 | − | 573.620i | 1.69326 | − | 1.13140i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 512.236i | 1.00636i | 0.864182 | + | 0.503179i | \(0.167836\pi\) | ||||
−0.864182 | + | 0.503179i | \(0.832164\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −148.497 | −0.290601 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −603.863 | − | 903.746i | −1.17712 | − | 1.76169i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −66.5361 | + | 334.500i | −0.129196 | + | 0.649514i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.6323 | + | 83.6163i | 0.0321708 | + | 0.161734i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 465.215 | − | 1123.13i | 0.896368 | − | 2.16402i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 566.692 | + | 378.651i | 1.08770 | + | 0.726778i | 0.964096 | − | 0.265554i | \(-0.0855547\pi\) |
0.123604 | + | 0.992332i | \(0.460555\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.8649 | + | 17.8649i | 0.0341585 | + | 0.0341585i | 0.723980 | − | 0.689821i | \(-0.242311\pi\) |
−0.689821 | + | 0.723980i | \(0.742311\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −180.345 | + | 74.7012i | −0.343514 | + | 0.142288i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −454.361 | − | 41.0376i | −0.862166 | − | 0.0778701i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 176.679 | + | 426.540i | 0.333986 | + | 0.806314i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −504.018 | + | 504.018i | −0.949187 | + | 0.949187i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 405.539 | − | 606.932i | 0.760861 | − | 1.13871i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 761.377 | + | 315.373i | 1.42313 | + | 0.589482i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1660.50 | + | 330.294i | −3.09218 | + | 0.615073i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −655.401 | − | 130.367i | −1.21596 | − | 0.241869i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 627.644 | − | 419.378i | 1.16015 | − | 0.775191i | 0.182047 | − | 0.983290i | \(-0.441728\pi\) |
0.978108 | + | 0.208099i | \(0.0667277\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 68.3946i | 0.125957i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −164.172 | −0.301233 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 186.953 | + | 279.794i | 0.341778 | + | 0.511507i | 0.962048 | − | 0.272882i | \(-0.0879767\pi\) |
−0.620269 | + | 0.784389i | \(0.712977\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 16.4743 | − | 82.8220i | 0.0300079 | − | 0.150860i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.1515 | − | 121.418i | −0.0438321 | − | 0.220359i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −84.9890 | + | 205.182i | −0.153687 | + | 0.371034i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1714.33 | + | 1145.48i | 3.08888 | + | 2.06392i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −152.552 | − | 152.552i | −0.273881 | − | 0.273881i | 0.556780 | − | 0.830660i | \(-0.312037\pi\) |
−0.830660 | + | 0.556780i | \(0.812037\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −696.294 | + | 288.415i | −1.24561 | + | 0.515947i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 919.464 | − | 1139.06i | 1.63897 | − | 2.03041i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 164.288 | + | 396.626i | 0.291808 | + | 0.704486i | 0.999999 | − | 0.00153466i | \(-0.000488498\pi\) |
−0.708191 | + | 0.706021i | \(0.750488\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 451.323 | − | 451.323i | 0.798803 | − | 0.798803i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 264.365 | − | 395.651i | 0.466253 | − | 0.697797i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 167.920 | + | 69.5547i | 0.295114 | + | 0.122240i | 0.525328 | − | 0.850900i | \(-0.323943\pi\) |
−0.230214 | + | 0.973140i | \(0.573943\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1060.77 | + | 211.000i | −1.85774 | + | 0.369528i | −0.991501 | − | 0.130100i | \(-0.958470\pi\) |
−0.866240 | + | 0.499628i | \(0.833470\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −531.815 | − | 105.785i | −0.928124 | − | 0.184615i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 98.0426 | − | 65.5100i | 0.170509 | − | 0.113930i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 959.226i | 1.66244i | 0.555946 | + | 0.831218i | \(0.312356\pi\) | ||||
−0.555946 | + | 0.831218i | \(0.687644\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 815.558 | 1.40856 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.4631 | + | 30.6252i | 0.0352205 | + | 0.0527112i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −236.073 | + | 1186.82i | −0.404928 | + | 2.03571i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 500.420 | + | 2515.78i | 0.855419 | + | 4.30048i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 189.950 | − | 458.580i | 0.323594 | − | 0.781226i | −0.675445 | − | 0.737410i | \(-0.736048\pi\) |
0.999040 | − | 0.0438160i | \(-0.0139515\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −345.160 | − | 230.629i | −0.586010 | − | 0.391560i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −695.455 | − | 695.455i | −1.17674 | − | 1.17674i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −444.124 | + | 183.962i | −0.748944 | + | 0.310223i | −0.724311 | − | 0.689474i | \(-0.757842\pi\) |
−0.0246333 | + | 0.999697i | \(0.507842\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −203.520 | − | 164.284i | −0.342051 | − | 0.276108i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −281.686 | − | 680.049i | −0.471835 | − | 1.13911i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 53.9662 | − | 53.9662i | 0.0900939 | − | 0.0900939i | −0.660624 | − | 0.750717i | \(-0.729708\pi\) |
0.750717 | + | 0.660624i | \(0.229708\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 50.7792 | − | 75.9964i | 0.0844911 | − | 0.126450i | −0.786817 | − | 0.617187i | \(-0.788272\pi\) |
0.871308 | + | 0.490737i | \(0.163272\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1443.17 | + | 597.782i | 2.39332 | + | 0.991346i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 742.459 | − | 147.684i | 1.22720 | − | 0.244106i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 341.923 | + | 68.0127i | 0.563300 | + | 0.112047i | 0.468523 | − | 0.883451i | \(-0.344786\pi\) |
0.0947766 | + | 0.995499i | \(0.469786\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 90.3809 | − | 60.3906i | 0.148409 | − | 0.0991635i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 103.391i | − | 0.169216i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1166.81 | −1.90345 | −0.951723 | − | 0.306960i | \(-0.900688\pi\) | ||||
−0.951723 | + | 0.306960i | \(0.900688\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 747.710 | + | 1119.03i | 1.21579 | + | 1.81956i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 159.827 | − | 803.507i | 0.259040 | − | 1.30228i | −0.603935 | − | 0.797034i | \(-0.706401\pi\) |
0.862975 | − | 0.505247i | \(-0.168599\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −71.4308 | − | 359.107i | −0.115397 | − | 0.580140i | −0.994608 | − | 0.103707i | \(-0.966929\pi\) |
0.879211 | − | 0.476433i | \(-0.158071\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −220.619 | + | 532.620i | −0.355263 | + | 0.857682i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 227.493 | + | 152.006i | 0.365157 | + | 0.243990i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −549.950 | − | 549.950i | −0.879920 | − | 0.879920i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1230.61 | − | 509.737i | 1.96270 | − | 0.812978i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −90.7108 | + | 1004.34i | −0.144214 | + | 1.59672i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −58.7276 | − | 141.781i | −0.0930707 | − | 0.224692i | 0.870488 | − | 0.492190i | \(-0.163803\pi\) |
−0.963559 | + | 0.267497i | \(0.913803\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −602.920 | + | 602.920i | −0.952480 | + | 0.952480i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 555.736 | − | 831.717i | 0.875174 | − | 1.30979i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 748.709 | + | 310.125i | 1.17537 | + | 0.486853i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1390.54 | − | 276.596i | 2.17612 | − | 0.432858i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −848.581 | − | 168.793i | −1.32384 | − | 0.263328i | −0.517959 | − | 0.855406i | \(-0.673308\pi\) |
−0.805881 | + | 0.592078i | \(0.798308\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −228.667 | + | 152.790i | −0.355625 | + | 0.237621i | −0.720530 | − | 0.693424i | \(-0.756101\pi\) |
0.364905 | + | 0.931045i | \(0.381101\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 1389.56i | − | 2.15436i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −801.930 | −1.23946 | −0.619730 | − | 0.784815i | \(-0.712758\pi\) | ||||
−0.619730 | + | 0.784815i | \(0.712758\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −283.880 | − | 424.856i | −0.437411 | − | 0.654632i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 71.1102 | − | 357.495i | 0.109232 | − | 0.549148i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −120.152 | − | 604.046i | −0.184000 | − | 0.925032i | −0.956881 | − | 0.290480i | \(-0.906185\pi\) |
0.772881 | − | 0.634551i | \(-0.218815\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 487.064 | − | 1175.88i | 0.743609 | − | 1.79523i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1091.94 | − | 729.614i | −1.66202 | − | 1.11052i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 429.342 | + | 429.342i | 0.651506 | + | 0.651506i | 0.953356 | − | 0.301850i | \(-0.0976041\pi\) |
−0.301850 | + | 0.953356i | \(0.597604\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 334.856 | − | 138.702i | 0.506590 | − | 0.209836i | −0.114725 | − | 0.993397i | \(-0.536599\pi\) |
0.621315 | + | 0.783561i | \(0.286599\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1363.13 | + | 1137.29i | −2.05600 | + | 1.71538i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −91.0767 | − | 219.879i | −0.136957 | − | 0.330645i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −46.4297 | + | 46.4297i | −0.0696097 | + | 0.0696097i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 568.527 | − | 850.861i | 0.849817 | − | 1.27184i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 55.9270 | + | 23.1657i | 0.0833487 | + | 0.0345242i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 396.015 | − | 78.7722i | 0.588432 | − | 0.117046i | 0.108110 | − | 0.994139i | \(-0.465520\pi\) |
0.480321 | + | 0.877093i | \(0.340520\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −990.433 | − | 197.009i | −1.46731 | − | 0.291866i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 339.579 | − | 226.900i | 0.501594 | − | 0.335155i | −0.278897 | − | 0.960321i | \(-0.589969\pi\) |
0.780491 | + | 0.625166i | \(0.214969\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 331.978i | − | 0.488923i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 569.759 | 0.836650 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 170.889 | + | 255.754i | 0.250204 | + | 0.374457i | 0.935218 | − | 0.354074i | \(-0.115204\pi\) |
−0.685014 | + | 0.728530i | \(0.740204\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 121.329 | − | 609.961i | 0.177122 | − | 0.890455i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 262.552 | + | 1319.94i | 0.382172 | + | 1.92131i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 561.585 | − | 1355.79i | 0.815072 | − | 1.96776i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 320.000 | + | 213.817i | 0.463097 | + | 0.309431i | 0.765141 | − | 0.643862i | \(-0.222669\pi\) |
−0.302044 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 584.447 | + | 584.447i | 0.843359 | + | 0.843359i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 568.938 | − | 235.662i | 0.818615 | − | 0.339082i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −305.584 | + | 583.017i | −0.438427 | + | 0.836467i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −148.501 | − | 358.513i | −0.212448 | − | 0.512895i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −169.350 | + | 169.350i | −0.241584 | + | 0.241584i | −0.817505 | − | 0.575921i | \(-0.804643\pi\) |
0.575921 | + | 0.817505i | \(0.304643\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −509.789 | + | 762.953i | −0.725162 | + | 1.08528i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 176.115 | + | 72.9494i | 0.249809 | + | 0.103474i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −144.335 | + | 28.7100i | −0.204152 | + | 0.0406083i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 568.332 | + | 113.048i | 0.801596 | + | 0.159447i | 0.578855 | − | 0.815430i | \(-0.303500\pi\) |
0.222741 | + | 0.974878i | \(0.428500\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1633.07 | + | 1091.18i | −2.29687 | + | 1.53472i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 220.179i | 0.308807i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1838.79 | −2.57174 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1161.44 | + | 1738.22i | 1.61986 | + | 2.42430i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 191.884 | − | 964.668i | 0.266877 | − | 1.34168i | −0.582043 | − | 0.813158i | \(-0.697747\pi\) |
0.848920 | − | 0.528522i | \(-0.177253\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −26.0006 | − | 130.714i | −0.0360619 | − | 0.181295i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −702.025 | + | 1694.84i | −0.970989 | + | 2.34417i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −95.6326 | − | 63.8997i | −0.131907 | − | 0.0881375i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −394.581 | − | 394.581i | −0.542753 | − | 0.542753i | 0.381582 | − | 0.924335i | \(-0.375379\pi\) |
−0.924335 | + | 0.381582i | \(0.875379\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 651.520 | − | 269.868i | 0.893717 | − | 0.370190i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 596.767 | − | 325.220i | 0.816370 | − | 0.444898i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −211.757 | − | 511.226i | −0.288890 | − | 0.697443i | 0.711094 | − | 0.703097i | \(-0.248200\pi\) |
−0.999984 | + | 0.00565410i | \(0.998200\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1056.53 | + | 1056.53i | −1.43746 | + | 1.43746i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −622.123 | + | 931.072i | −0.844129 | + | 1.26333i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 556.230 | + | 230.398i | 0.752679 | + | 0.311770i | 0.725834 | − | 0.687870i | \(-0.241454\pi\) |
0.0268451 | + | 0.999640i | \(0.491454\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1584.33 | + | 315.143i | −2.13810 | + | 0.425294i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −269.538 | − | 53.6145i | −0.362770 | − | 0.0721595i | 0.0103398 | − | 0.999947i | \(-0.496709\pi\) |
−0.373110 | + | 0.927787i | \(0.621709\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −371.085 | + | 247.951i | −0.498101 | + | 0.332821i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 325.738i | 0.436061i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −322.041 | −0.429961 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −542.990 | − | 812.643i | −0.723023 | − | 1.08208i | −0.992873 | − | 0.119178i | \(-0.961974\pi\) |
0.269850 | − | 0.962902i | \(-0.413026\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −152.852 | + | 768.439i | −0.202991 | + | 1.02050i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −195.114 | − | 980.906i | −0.258430 | − | 1.29921i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 131.054 | − | 316.393i | 0.173123 | − | 0.417957i | −0.813372 | − | 0.581743i | \(-0.802371\pi\) |
0.986496 | + | 0.163787i | \(0.0523708\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −587.429 | − | 392.508i | −0.773952 | − | 0.517138i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −336.551 | − | 336.551i | −0.442248 | − | 0.442248i | 0.450519 | − | 0.892767i | \(-0.351239\pi\) |
−0.892767 | + | 0.450519i | \(0.851239\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 59.2708 | − | 24.5508i | 0.0776812 | − | 0.0321766i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −689.366 | − | 2207.99i | −0.901132 | − | 2.88626i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 237.137 | + | 572.500i | 0.309175 | + | 0.746415i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 330.011 | − | 330.011i | 0.429143 | − | 0.429143i | −0.459193 | − | 0.888336i | \(-0.651861\pi\) |
0.888336 | + | 0.459193i | \(0.151861\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1428.34 | − | 2137.66i | 1.85258 | − | 2.77258i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1081.14 | − | 447.823i | −1.39863 | − | 0.579331i | −0.449234 | − | 0.893414i | \(-0.648303\pi\) |
−0.949396 | + | 0.314083i | \(0.898303\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −378.268 | + | 75.2421i | −0.488088 | + | 0.0970866i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −790.219 | − | 157.184i | −1.01701 | − | 0.202297i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −498.017 | + | 332.765i | −0.639303 | + | 0.427169i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1016.35i | 1.30135i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 562.333 | 0.718177 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −339.823 | − | 508.581i | −0.432895 | − | 0.647874i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −267.003 | + | 1342.32i | −0.339267 | + | 1.70561i | 0.314785 | + | 0.949163i | \(0.398068\pi\) |
−0.654052 | + | 0.756449i | \(0.726932\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 123.225 | + | 619.494i | 0.156179 | + | 0.785164i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −95.4484 | + | 230.433i | −0.120668 | + | 0.291318i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −61.0404 | − | 40.7859i | −0.0769740 | − | 0.0514324i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1913.20 | + | 1913.20i | 2.40654 | + | 2.40654i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 582.398 | − | 241.237i | 0.730737 | − | 0.302681i | 0.0138823 | − | 0.999904i | \(-0.495581\pi\) |
0.716855 | + | 0.697222i | \(0.245581\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.88985 | + | 92.7087i | 0.0123778 | + | 0.116031i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 925.969 | + | 2235.49i | 1.15602 | + | 2.79087i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 665.692 | − | 665.692i | 0.829006 | − | 0.829006i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −70.1309 | + | 104.958i | −0.0871191 | + | 0.130383i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −1082.41 | − | 448.348i | −1.34127 | − | 0.555573i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −240.875 | + | 47.9131i | −0.297745 | + | 0.0592251i | −0.341702 | − | 0.939808i | \(-0.611003\pi\) |
0.0439575 | + | 0.999033i | \(0.486003\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 595.515 | + | 118.455i | 0.734297 | + | 0.146061i | 0.548054 | − | 0.836443i | \(-0.315369\pi\) |
0.186243 | + | 0.982504i | \(0.440369\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2383.48 | + | 1592.59i | −2.93171 | + | 1.95890i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 103.216i | − | 0.126645i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 618.418 | 0.756937 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −556.883 | − | 833.435i | −0.679955 | − | 1.01763i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.700734 | + | 3.52283i | −0.000853512 | + | 0.00429090i | −0.981210 | − | 0.192944i | \(-0.938196\pi\) |
0.980356 | + | 0.197235i | \(0.0631963\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −202.898 | − | 1020.04i | −0.246535 | − | 1.23941i | −0.883466 | − | 0.468494i | \(-0.844797\pi\) |
0.636931 | − | 0.770920i | \(-0.280203\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 473.585 | − | 1143.33i | 0.574042 | − | 1.38586i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1159.89 | − | 775.013i | −1.40253 | − | 0.937138i | −0.999762 | − | 0.0218347i | \(-0.993049\pi\) |
−0.402765 | − | 0.915303i | \(-0.631951\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 761.755 | + | 761.755i | 0.918884 | + | 0.918884i | 0.996948 | − | 0.0780639i | \(-0.0248738\pi\) |
−0.0780639 | + | 0.996948i | \(0.524874\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −387.946 | + | 160.692i | −0.466842 | + | 0.193372i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −701.020 | − | 206.466i | −0.841560 | − | 0.247859i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 531.896 | + | 1284.11i | 0.637001 | + | 1.53786i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1333.35 | − | 1333.35i | 1.59301 | − | 1.59301i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 725.792 | − | 1086.22i | 0.865068 | − | 1.29467i | −0.0892913 | − | 0.996006i | \(-0.528460\pi\) |
0.954359 | − | 0.298660i | \(-0.0965398\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −717.811 | − | 297.327i | −0.853520 | − | 0.353540i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 335.830 | − | 66.8008i | 0.398375 | − | 0.0792417i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1147.07 | + | 228.167i | 1.35748 | + | 0.270020i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −245.964 | + | 164.348i | −0.290394 | + | 0.194035i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2244.07i | 2.64320i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 486.692 | 0.571906 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 543.784 | + | 813.830i | 0.637495 | + | 0.954079i | 0.999758 | + | 0.0220032i | \(0.00700441\pi\) |
−0.362262 | + | 0.932076i | \(0.617996\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 410.619 | − | 2064.32i | 0.480256 | − | 2.41441i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −223.770 | − | 1124.97i | −0.261108 | − | 1.31268i | −0.859360 | − | 0.511371i | \(-0.829138\pi\) |
0.598252 | − | 0.801308i | \(-0.295862\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −179.676 | + | 433.776i | −0.209169 | + | 0.504978i | −0.993293 | − | 0.115626i | \(-0.963113\pi\) |
0.784124 | + | 0.620604i | \(0.213113\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −437.287 | − | 292.186i | −0.507883 | − | 0.339356i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 887.447 | + | 887.447i | 1.02833 | + | 1.02833i | 0.999587 | + | 0.0287405i | \(0.00914965\pi\) |
0.0287405 | + | 0.999587i | \(0.490850\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1272.21 | − | 526.968i | 1.47077 | − | 0.609212i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1113.51 | − | 1150.18i | 1.28432 | − | 1.32662i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −538.806 | − | 1300.79i | −0.620030 | − | 1.49689i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 960.256 | − | 960.256i | 1.10248 | − | 1.10248i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1631.12 | − | 2441.14i | 1.86840 | − | 2.79626i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 151.074 | + | 62.5768i | 0.172656 | + | 0.0715163i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1245.13 | − | 247.673i | 1.41977 | − | 0.282409i | 0.575267 | − | 0.817966i | \(-0.304898\pi\) |
0.844499 | + | 0.535557i | \(0.179898\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −364.181 | − | 72.4401i | −0.414313 | − | 0.0824119i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 125.148 | − | 83.6210i | 0.142052 | − | 0.0949160i | −0.482514 | − | 0.875888i | \(-0.660276\pi\) |
0.624565 | + | 0.780972i | \(0.285276\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 953.062i | − | 1.07935i | −0.841875 | − | 0.539673i | \(-0.818548\pi\) | ||
0.841875 | − | 0.539673i | \(-0.181452\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1142.51 | −1.29097 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 506.134 | + | 757.482i | 0.570613 | + | 0.853982i | 0.998763 | − | 0.0497252i | \(-0.0158346\pi\) |
−0.428150 | + | 0.903708i | \(0.640835\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −76.2590 | + | 383.380i | −0.0857807 | + | 0.431248i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 588.533 | + | 2958.76i | 0.660531 | + | 3.32072i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −32.4658 | + | 78.3793i | −0.0363558 | + | 0.0877708i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1594.57 | − | 1065.46i | −1.78164 | − | 1.19045i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 605.841 | + | 605.841i | 0.675409 | + | 0.675409i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 198.419 | − | 82.1878i | 0.220711 | − | 0.0914213i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −373.875 | + | 1269.43i | −0.414956 | + | 1.40891i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 207.799 | + | 501.671i | 0.230121 | + | 0.555561i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −54.7820 | + | 54.7820i | −0.0605326 | + | 0.0605326i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −878.749 | + | 1315.14i | −0.968852 | + | 1.44999i | −0.0773333 | + | 0.997005i | \(0.524641\pi\) |
−0.891519 | + | 0.452984i | \(0.850359\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1202.40 | − | 498.051i | −1.32277 | − | 0.547911i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1743.00 | + | 346.704i | −1.91328 | + | 0.380575i | −0.999662 | − | 0.0260015i | \(-0.991723\pi\) |
−0.913617 | + | 0.406576i | \(0.866723\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −229.021 | − | 45.5552i | −0.250845 | − | 0.0498962i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 112.543 | − | 75.1987i | 0.122998 | − | 0.0821843i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 497.362i | 0.542379i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1587.59 | 1.72752 | 0.863760 | − | 0.503904i | \(-0.168103\pi\) | ||||
0.863760 | + | 0.503904i | \(0.168103\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 18.9288 | + | 28.3289i | 0.0205524 | + | 0.0307588i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 240.461 | − | 1208.88i | 0.260521 | − | 1.30973i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 166.318 | + | 836.136i | 0.179803 | + | 0.903931i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 451.048 | − | 1088.93i | 0.486568 | − | 1.17468i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 282.825 | + | 188.977i | 0.304440 | + | 0.203420i | 0.698401 | − | 0.715707i | \(-0.253895\pi\) |
−0.393961 | + | 0.919127i | \(0.628895\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −470.205 | − | 470.205i | −0.505054 | − | 0.505054i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −614.383 | + | 254.486i | −0.658502 | + | 0.272761i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1648.82 | − | 175.890i | 1.76344 | − | 0.188118i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 157.414 | + | 380.032i | 0.167998 | + | 0.405584i | 0.985348 | − | 0.170559i | \(-0.0545573\pi\) |
−0.817349 | + | 0.576143i | \(0.804557\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 215.880 | − | 215.880i | 0.229904 | − | 0.229904i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −335.734 | + | 502.462i | −0.356784 | + | 0.533966i | −0.965832 | − | 0.259168i | \(-0.916552\pi\) |
0.609048 | + | 0.793133i | \(0.291552\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 293.505 | + | 121.574i | 0.311246 | + | 0.128922i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1060.30 | − | 210.906i | 1.12201 | − | 0.223181i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 638.673 | + | 127.040i | 0.674417 | + | 0.134150i | 0.520405 | − | 0.853919i | \(-0.325781\pi\) |
0.154011 | + | 0.988069i | \(0.450781\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −949.291 | + | 634.296i | −1.00031 | + | 0.668384i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1708.46i | 1.79649i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 215.789 | 0.226431 | 0.113216 | − | 0.993570i | \(-0.463885\pi\) | ||||
0.113216 | + | 0.993570i | \(0.463885\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −341.237 | − | 510.698i | −0.357317 | − | 0.534762i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −134.442 | + | 675.887i | −0.140483 | + | 0.706256i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 47.4122 | + | 238.357i | 0.0494392 | + | 0.248548i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −92.1626 | + | 222.500i | −0.0959028 | + | 0.231530i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2368.06 | − | 1582.29i | −2.45905 | − | 1.64308i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 653.237 | + | 653.237i | 0.676929 | + | 0.676929i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1462.82 | − | 605.921i | 1.51274 | − | 0.626599i | 0.536622 | − | 0.843823i | \(-0.319700\pi\) |
0.976122 | + | 0.217223i | \(0.0697000\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1390.50 | − | 434.132i | 1.43498 | − | 0.448021i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.39705 | + | 10.6154i | 0.00452837 | + | 0.0109324i | 0.926128 | − | 0.377211i | \(-0.123117\pi\) |
−0.921599 | + | 0.388143i | \(0.873117\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −170.161 | + | 170.161i | −0.174883 | + | 0.174883i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −833.800 | + | 1247.87i | −0.855179 | + | 1.27987i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1398.66 | + | 579.346i | 1.43159 | + | 0.592984i | 0.957744 | − | 0.287623i | \(-0.0928650\pi\) |
0.473847 | + | 0.880607i | \(0.342865\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1701.24 | + | 338.397i | −1.73773 | + | 0.345656i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 556.461 | + | 110.687i | 0.567239 | + | 0.112831i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −129.340 | + | 86.4222i | −0.131577 | + | 0.0879167i | −0.619617 | − | 0.784904i | \(-0.712712\pi\) |
0.488040 | + | 0.872821i | \(0.337712\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 1114.08i | − | 1.13104i | ||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −74.4917 | −0.0754729 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −182.231 | − | 272.729i | −0.184258 | − | 0.275762i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 39.0976 | − | 196.557i | 0.0394527 | − | 0.198342i | −0.956032 | − | 0.293262i | \(-0.905259\pi\) |
0.995485 | + | 0.0949194i | \(0.0302593\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −205.749 | − | 1034.37i | −0.207199 | − | 1.04166i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 319.077 | − | 770.320i | 0.320680 | − | 0.774191i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1569.02 | + | 1048.39i | 1.57374 | + | 1.05154i | 0.966380 | + | 0.257119i | \(0.0827733\pi\) |
0.607365 | + | 0.794423i | \(0.292227\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2947.28 | − | 2947.28i | −2.95023 | − | 2.95023i |
(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 | 136.3.t.b.73.1 | yes | 40 | |
4.3 | odd | 2 | 272.3.bh.g.209.5 | 40 | |||
17.7 | odd | 16 | inner | 136.3.t.b.41.1 | ✓ | 40 | |
68.7 | even | 16 | 272.3.bh.g.177.5 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.3.t.b.41.1 | ✓ | 40 | 17.7 | odd | 16 | inner | |
136.3.t.b.73.1 | yes | 40 | 1.1 | even | 1 | trivial | |
272.3.bh.g.177.5 | 40 | 68.7 | even | 16 | |||
272.3.bh.g.209.5 | 40 | 4.3 | odd | 2 |